return { height = 1604, width = 2405, data = { {28,51,30,1,9,1,17,2,16,1,30,1,6,1,28,1,29,1,30,1,9,1,11,1,8,1,7,1,13,1,6,1,8,1,9,1,17,2,11,1,17,4,11,1,9,1,30,1,28,6,6,1,9,1,8,1,6,2,7,1,8,1,13,1,8,1,9,1,17,3,16,1,17,1,11,2,12,1,9,2,10,1,11,1,17,4,11,1,13,1,7,1,29,1,13,1,9,2,13,1,28,37,30,1,11,1,9,1,11,1,12,1,9,1,29,1,28,1,30,2,6,1,8,1,13,1,10,1,17,7,16,1,11,1,9,1,11,2,12,1,11,1,9,1,13,1,11,1,9,1,13,1,9,3,16,1,9,1,10,1,16,1,10,1,16,1,12,1,16,1,17,2,28,17,8,1,12,1,17,1,24,1,17,2,12,3,24,1,12,1,17,2,12,1,24,3,25,4,27,1,29,1,30,1,28,1,30,1,29,1,28,1,30,1,28,1,30,3,7,2,6,1,29,1,13,1,24,1,17,40,12,1,17,13,16,1,17,1,10,1,11,1,9,1,8,2,13,2,6,3,28,1,30,5,13,1,7,1,6,2,13,2,30,2,6,2,29,1,30,3,6,1,28,2,6,1,29,2,30,1,29,1,30,1,28,1,6,1,29,1,30,2,6,1,30,1,6,3,13,2,6,1,13,2,8,3,13,8,9,2,13,5,6,1,8,1,13,3,9,1,13,2,7,1,10,1,6,1,9,1,8,1,13,1,10,1,9,1,13,1,8,1,13,2,9,1,8,2,13,1,8,2,13,3,7,1,13,1,7,1,13,1,7,1,13,2,9,1,8,3,24,1,13,3,8,2,7,1,13,1,8,1,6,1,7,1,13,2,7,1,13,2,6,3,29,1,7,1,30,3,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,2,29,2,28,2,30,3,6,2,30,2,6,1,13,1,8,2,9,1,8,1,9,1,8,6,10,1,24,1,8,1,13,1,7,1,13,1,7,1,13,2,7,1,13,1,8,1,13,1,9,1,13,2,8,1,24,1,13,1,8,2,13,4,7,1,13,1,6,4,30,4,29,1,30,5,29,1,30,1,29,1,30,6,28,2,30,2,28,1,30,2,28,1,30,1,29,1,30,2,28,1,30,4,29,1,30,5,28,1,30,1,28,5,29,1,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,3,29,1,30,1,28,2,30,6,28,1,30,2,28,3,30,1,29,1,28,3,30,1,28,2,30,1,13,1,7,1,13,1,8,1,10,1,17,2,10,1,17,5,10,1,9,1,11,1,9,1,24,1,8,2,9,1,7,1,8,2,13,2,9,2,13,2,9,3,10,2,9,2,12,1,11,2,12,1,9,1,17,1,12,2,11,2,9,1,12,1,11,1,9,1,17,5,9,1,10,1,12,1,17,1,9,1,12,2,10,1,17,1,9,1,17,1,11,1,9,1,11,1,10,1,17,1,10,1,9,1,17,1,11,1,12,1,17,1,10,1,17,1,10,1,17,4,12,1,17,4,11,1,17,1,11,2,12,1,9,1,11,2,9,3,11,1,12,2,17,5,12,1,17,5,12,1,17,1,9,1,12,2,11,1,9,1,17,1,13,1,17,1,12,1,10,1,11,1,17,1,11,1,12,1,17,3,11,1,12,1,9,1,11,1,10,1,9,2,13,1,6,1,7,1,6,1,13,1,6,2,7,1,6,3,13,1,6,2,7,1,13,1,8,1,13,2,9,1,8,1,9,1,10,1,11,1,9,1,12,1,9,1,11,1,13,1,9,1,12,1,9,1,11,1,12,1,9,1,10,1,12,1,8,1,12,1,10,1,17,1,11,1,9,1,12,1,17,1,12,1,17,1,9,2,11,1,9,1,11,2,9,2,12,1,11,4,17,1,12,1,17,1,12,1,17,5,11,1,17,1,12,1,17,1,11,1,17,10,12,1,17,52,11,1,9,1,13,6,6,1,9,1,11,1,17,4,12,1,17,1,12,1,17,5,11,2,12,1,9,1,24,1,9,1,8,3,13,1,6,1,30,1,6,1,7,1,13,1,6,2,29,1,6,1,7,1,6,1,30,3,6,1,30,1,29,2,30,1,28,1,6,1,13,2,6,1,30,1,28,1,6,1,30,1,6,1,7,1,30,4,6,1,30,1,28,1,29,1,30,2,28,1,6,2,13,1,6,1,28,1,30,2,13,1,30,2,6,1,13,1,6,1,29,2,28,1,30,5,28,2,30,5,28,5,30,2,28,2,30,2,28,3,30,1,28,2,30,1,28,1,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,2,30,1,6,1,30,1,28,1,30,6,6,1,30,1,28,1,30,1,28,4,29,1,30,1,28,2,30,1,28,1,6,3,30,2,28,1,30,1,7,1,30,1,28,1,30,1,28,1,30,4,28,1,30,2,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,6,1,8,1,13,1,28,2,30,2,28,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,6,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,29,1,28,3,6,2,30,2,28,4,30,1,6,2,13,1,28,1,30,4,28,6,6,1,28,8,30,1,28,2,30,2,28,1,30,4,28,3,6,3,30,2,6,1,28,3,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,4,30,3,28,1,30,4,28,1,29,1,30,4,28,1,30,2,28,3,30,1,28,3,30,2,28,2,30,1,28,2,30,1,28,3,6,1,30,2,28,3,30,1,28,5,30,1,28,1,6,2,28,1,30,1,28,4,30,1,28,6,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,2,30,1,6,1,28,1,30,2,28,3,30,1,28,10,13,1,9,1,13,3,6,1,13,1,9,1,13,3,30,1,28,2,30,1,28,1,30,1,13,1,28,1,30,1,28,3,6,1,28,1,6,1,30,4,6,2,28,2,30,3,28,1,30,1,28,2,30,3,28,1,30,3,28,2,30,4,6,2,30,1,6,1,30,1,28,1,30,1,28,1,30,3,6,1,30,2,29,1,30,1,6,1,30,3,28,4,30,1,28,1,30,1,28,8,30,1,28,1,30,2,28,2,30,1,28,12,9,1,28,6,6,1,30,1,7,2,6,1,7,1,6,1,30,6,6,1,13,2,6,2,30,4,28,6,30,1,13,1,9,1,24,1,12,1,15,1,12,1,17,59,11,1,8,1,9,1,10,1,13,1,9,1,13,1,9,2,11,1,16,2,17,6,9,1,7,1,6,2,30,2,28,5,30,2,28,1,13,8,6,2,30,1,6,3,7,1,30,2,6,6,7,1,13,1,7,1,6,5,7,2,13,2,6,1,13,1,6,1,8,2,10,1,16,1,17,1,9,2,10,1,8,1,9,1,8,1,9,2,13,1,8,1,9,1,13,4,7,1,13,7,8,1,13,1,9,1,13,1,8,2,13,3,9,1,7,1,13,2,9,1,7,1,13,8,7,1,6,1,13,4,8,1,13,1,8,1,13,1,8,2,13,1,9,1,8,1,9,1,8,1,9,5,13,1,9,3,8,1,9,2,8,1,13,1,8,2,9,2,8,1,9,3,11,1,13,1,9,2,8,2,9,1,8,2,9,3,8,1,11,1,9,1,11,2,9,5,13,1,12,1,9,1,13,1,8,1,13,2,8,1,9,1,8,1,13,1,9,1,8,2,13,2,9,1,13,1,9,1,13,1,9,1,8,1,9,3,10,1,11,1,9,1,8,1,9,2,11,1,9,1,11,1,9,1,13,1,11,1,9,2,8,1,10,1,13,2,10,1,8,2,13,1,9,2,13,1,9,3,8,1,11,1,9,1,8,1,11,1,9,3,10,1,9,2,16,1,17,48,9,1,8,1,13,2,8,1,9,1,8,2,13,2,7,1,13,2,6,1,7,2,6,1,7,2,6,2,13,1,7,1,6,3,30,1,6,1,13,1,6,3,13,1,6,2,7,2,6,1,13,1,29,1,30,2,6,4,30,1,6,3,13,1,7,1,6,1,30,1,13,1,6,1,13,3,8,1,6,1,9,1,7,1,28,1,29,1,6,1,29,1,6,3,29,1,30,1,29,1,6,2,29,2,6,1,28,1,30,1,28,22,6,3,30,1,6,1,30,1,28,6,30,1,28,6,29,1,28,1,30,1,28,8,30,1,28,2,30,1,6,2,30,5,28,2,30,1,28,3,30,3,28,5,30,4,6,1,30,1,29,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,30,1,6,1,29,1,6,2,30,6,29,1,30,3,6,1,30,1,7,1,6,1,30,1,6,1,13,1,11,1,17,16,16,1,17,6,16,1,17,1,16,1,17,3,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,1,11,1,17,1,11,1,17,1,16,1,17,5,16,1,17,2,9,1,12,1,11,1,17,1,12,1,11,1,17,1,12,1,11,3,16,1,11,3,16,1,11,3,16,1,11,1,16,1,11,1,16,1,9,1,11,6,9,1,17,1,11,2,16,2,17,1,16,3,11,1,16,3,11,1,17,1,9,1,16,2,17,1,16,1,17,1,16,1,17,3,16,1,17,6,16,1,17,1,16,1,10,1,17,1,16,5,9,1,16,3,11,1,16,1,11,1,9,2,11,1,16,2,11,1,16,1,17,1,16,3,11,1,16,1,17,1,11,1,16,1,11,1,16,2,10,1,17,1,9,1,17,1,11,1,17,2,16,1,17,25,16,1,17,4,16,1,17,1,16,2,17,3,11,1,17,2,16,1,17,8,11,1,30,1,28,16,17,3,8,1,6,1,28,1,30,1,28,2,30,1,28,14,30,1,13,1,6,2,28,1,13,1,8,1,17,1,6,1,28,7,13,1,8,1,13,1,30,1,28,41,13,1,9,1,13,1,28,1,30,2,13,1,17,1,13,1,6,1,30,1,28,1,29,1,6,2,13,1,6,2,7,1,6,2,13,3,7,1,6,1,7,1,6,1,13,1,30,1,6,1,7,1,6,1,}, {28,44,29,1,28,2,30,1,28,1,30,1,28,1,30,1,9,1,17,1,16,1,11,1,30,1,13,1,6,1,28,1,6,1,9,1,12,1,9,1,13,1,6,1,8,1,13,1,9,1,17,3,16,1,17,3,11,1,13,2,28,6,29,1,10,1,24,1,8,1,6,1,7,1,6,1,7,1,6,1,17,3,16,1,17,3,16,1,8,1,9,1,13,1,11,1,9,1,17,1,9,1,11,1,17,1,11,1,8,1,30,1,6,1,28,1,13,1,9,1,13,1,28,37,6,1,8,1,9,1,16,1,17,1,11,1,30,1,28,3,30,1,8,1,6,1,12,1,17,8,16,1,9,2,13,1,17,1,11,1,9,1,8,1,11,1,12,1,9,4,17,1,11,1,17,1,11,1,10,1,17,4,11,1,30,1,28,16,8,1,17,4,15,1,24,3,12,1,24,1,17,1,12,2,24,1,12,1,24,2,8,1,25,1,26,1,25,1,29,1,28,1,30,5,28,4,30,1,6,1,25,1,6,2,8,1,9,1,17,23,11,1,17,27,12,1,17,2,16,1,9,2,10,1,7,1,8,1,6,1,7,1,6,2,29,1,30,1,6,1,30,1,29,1,30,2,6,1,28,1,6,5,29,1,30,1,6,1,30,1,29,1,28,1,6,1,29,2,6,1,30,1,29,1,30,4,29,1,6,1,30,1,6,3,13,2,6,1,7,1,13,1,7,1,13,1,6,1,7,2,13,1,8,1,13,4,8,2,9,1,6,1,7,3,9,1,13,2,8,1,13,2,8,2,13,3,8,1,7,1,10,1,8,2,10,1,13,1,9,2,10,1,9,1,8,1,24,1,8,1,7,1,9,1,13,1,8,1,6,1,13,2,24,1,7,1,8,2,7,1,13,3,7,1,13,1,8,1,7,1,13,2,8,1,9,1,13,1,7,1,13,2,7,1,13,1,8,1,6,1,7,1,13,1,7,1,13,1,29,1,6,1,29,1,6,1,7,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,2,29,1,30,1,28,1,30,2,6,1,29,1,28,1,6,1,30,5,7,1,6,1,13,1,9,1,8,3,13,1,8,1,13,1,8,2,24,1,9,1,13,3,6,1,13,3,8,1,13,3,8,1,13,2,8,1,13,1,8,1,24,1,8,1,7,1,13,5,6,1,7,1,6,3,29,1,6,1,28,1,6,1,30,1,29,1,30,2,28,1,6,1,28,1,6,1,28,1,30,5,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,4,30,2,28,1,30,1,28,2,30,1,28,4,30,2,28,2,30,1,29,1,28,1,30,1,28,1,29,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,3,28,2,30,2,28,1,30,1,28,1,30,3,28,1,29,1,30,1,29,1,30,1,29,1,30,1,28,2,30,1,6,2,30,1,13,2,9,1,11,1,17,2,12,2,17,3,12,3,10,1,24,1,9,2,8,1,9,1,8,1,13,1,8,1,13,1,8,1,9,1,8,2,9,2,13,1,10,1,9,1,11,1,10,1,9,1,10,1,11,1,9,1,10,2,11,1,10,1,12,2,10,1,11,1,10,1,11,1,17,2,11,1,12,2,17,1,12,1,17,1,11,1,12,2,17,1,11,2,10,1,9,1,11,1,12,1,11,2,9,1,10,1,12,1,9,1,10,1,11,1,9,1,11,1,17,6,12,1,17,4,11,1,17,3,12,1,11,2,9,1,11,1,9,1,8,1,12,1,11,1,12,1,10,1,17,7,12,1,17,1,10,1,17,2,10,1,17,1,10,1,11,1,24,1,9,1,11,1,10,2,12,1,10,1,12,1,10,1,11,1,10,1,17,3,11,1,10,3,9,1,8,1,24,1,8,1,13,1,6,1,7,1,6,1,29,1,6,1,30,1,6,1,30,1,7,1,6,1,7,1,6,1,8,2,24,1,13,1,8,1,24,1,8,1,17,1,13,1,8,1,9,3,12,2,9,3,8,1,11,1,9,1,12,3,17,1,10,1,17,1,12,1,17,5,10,1,11,1,12,3,10,1,11,1,17,2,11,1,17,3,11,1,12,1,17,7,12,1,9,1,10,1,11,1,12,1,17,18,11,1,17,44,9,2,13,1,6,2,13,2,6,1,13,1,10,1,17,3,11,1,17,1,12,2,17,4,12,1,17,1,10,1,11,1,17,1,24,1,9,1,10,1,9,1,13,1,8,1,6,1,7,1,13,1,7,1,6,6,7,2,6,2,29,1,30,1,6,1,28,1,30,2,28,1,30,1,8,1,13,2,28,1,30,2,28,1,6,1,28,2,30,2,28,1,30,2,28,1,30,2,28,1,30,2,6,1,13,1,30,1,28,2,30,2,29,1,30,1,6,2,30,1,29,1,28,2,30,1,28,2,30,6,28,1,30,2,28,1,30,2,28,5,30,1,28,2,30,1,28,1,30,2,28,2,30,2,6,2,28,7,30,1,28,7,30,1,28,12,30,1,28,6,30,1,28,1,30,1,28,3,30,1,28,1,6,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,5,30,1,28,2,30,1,13,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,29,1,30,1,28,4,30,1,28,2,30,3,28,2,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,9,1,6,1,30,6,28,1,30,1,28,2,6,1,30,1,28,4,30,2,28,3,29,1,28,2,30,1,28,10,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,4,28,3,30,2,28,1,30,1,28,2,30,2,28,2,30,1,28,4,30,3,7,1,28,1,13,1,28,2,30,1,28,3,30,1,8,1,6,2,30,1,28,1,30,2,28,2,29,1,28,1,30,1,28,2,6,1,28,5,30,1,28,5,30,3,28,1,30,3,28,3,30,1,28,1,6,1,30,1,28,1,7,1,28,6,30,1,28,3,6,2,30,2,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,2,28,1,30,3,28,1,30,3,28,2,30,1,28,6,6,1,28,1,30,2,28,3,6,2,28,1,30,2,28,7,30,1,28,3,30,1,28,4,30,1,28,6,30,1,28,2,30,1,6,1,28,9,30,1,6,1,7,1,6,1,28,1,30,1,28,1,6,1,13,3,6,7,30,1,28,2,30,1,28,1,30,3,28,1,30,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,6,2,30,1,6,2,30,3,28,3,30,5,28,3,30,1,6,1,30,1,29,1,28,2,30,1,28,1,30,2,28,3,30,4,28,1,30,2,6,1,30,3,6,1,30,1,28,1,30,1,6,3,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,5,6,1,30,1,28,8,30,1,28,5,6,1,13,1,28,7,30,1,13,3,7,1,29,1,28,4,30,2,7,1,13,2,28,4,30,1,13,1,28,5,30,2,13,1,10,1,13,1,15,1,17,2,15,1,12,1,17,68,16,2,17,2,16,1,17,2,11,1,6,1,7,1,6,1,29,1,30,1,28,5,30,2,28,2,13,5,6,1,13,1,6,3,7,1,6,4,13,2,6,1,13,1,6,1,13,1,6,2,13,1,7,2,13,1,6,1,7,1,13,5,7,1,13,1,8,1,9,2,17,1,16,1,9,1,11,2,9,4,8,1,9,1,8,1,13,4,9,1,13,5,9,2,8,1,13,3,9,1,13,1,8,1,6,2,13,3,29,1,13,3,6,1,13,2,9,1,13,1,6,1,13,1,6,1,13,2,7,1,6,1,29,1,7,1,13,1,7,1,13,2,9,1,8,3,9,3,8,1,9,6,11,1,9,2,8,1,9,2,8,1,9,1,13,1,8,2,9,3,13,2,8,1,9,1,11,1,9,1,13,1,8,1,9,1,13,1,8,1,10,1,9,1,16,1,11,1,10,1,9,1,12,1,8,2,9,1,13,1,9,1,13,1,10,1,9,1,13,1,9,2,8,1,9,1,8,1,9,2,13,4,9,1,13,1,9,1,8,1,13,4,9,1,8,1,9,2,8,1,9,1,10,1,9,2,11,1,9,5,13,1,9,3,8,1,13,2,9,2,8,1,9,1,8,1,13,1,8,1,9,2,8,1,13,2,9,2,13,2,9,2,10,1,8,1,9,1,11,1,17,46,16,1,8,1,13,3,9,2,13,6,7,1,13,2,7,1,13,1,29,1,7,1,29,1,13,1,30,1,13,1,6,3,13,1,7,1,6,2,13,1,6,1,30,1,6,3,13,1,29,2,6,3,30,4,6,3,13,2,6,1,7,1,6,3,7,1,13,1,7,1,13,3,6,1,28,1,6,1,30,1,29,1,27,1,6,1,30,1,29,1,30,1,28,1,6,1,29,2,30,1,29,2,28,1,29,1,30,1,28,21,13,1,6,2,30,1,28,1,30,3,28,1,29,1,28,12,30,1,28,5,30,1,28,1,30,2,29,1,30,4,6,1,30,2,28,1,30,1,28,5,30,1,29,1,28,3,30,2,28,2,6,1,30,1,6,1,28,1,30,1,6,3,7,1,13,1,6,2,7,1,30,1,29,1,30,1,6,3,13,1,29,1,30,2,6,2,30,3,6,1,29,1,6,4,30,1,6,1,13,1,11,1,17,22,16,2,17,7,16,1,17,1,11,1,17,1,16,3,17,2,11,1,16,1,11,2,12,2,11,2,10,1,9,1,11,2,9,1,16,1,11,1,10,1,12,1,11,2,16,4,17,2,11,1,9,1,17,1,11,3,16,1,11,1,16,1,17,1,11,2,16,1,17,1,16,2,11,1,9,2,10,1,11,3,10,1,9,1,16,1,11,1,16,1,11,3,16,1,11,2,16,4,11,1,17,1,16,1,17,1,16,1,17,3,16,1,17,2,16,3,17,2,16,1,17,2,11,2,16,2,11,2,16,1,10,1,16,2,17,1,11,1,16,3,10,1,16,1,11,2,16,2,9,1,11,1,16,2,11,1,17,1,9,1,16,1,11,3,16,1,11,1,16,1,11,1,17,1,16,2,11,1,17,2,16,1,17,23,16,1,17,1,16,2,17,2,16,2,17,2,16,1,17,2,16,1,17,10,16,1,28,17,17,2,16,1,11,1,9,1,30,2,28,18,6,1,13,1,6,1,13,2,9,1,17,1,7,1,28,6,30,1,13,3,30,1,28,41,29,1,17,1,13,1,28,3,7,1,17,1,6,1,13,1,28,3,30,1,6,1,28,1,6,1,7,1,6,1,29,1,13,1,8,1,29,1,6,2,13,2,6,1,13,1,6,1,8,1,13,1,7,1,}, {29,1,28,1,30,1,28,46,30,2,28,1,9,1,17,1,16,1,10,1,13,2,30,1,29,1,28,1,13,1,9,2,13,1,30,1,13,2,16,1,11,1,17,2,11,1,17,1,11,1,17,1,9,2,6,1,28,1,30,1,28,4,13,1,9,1,11,1,13,1,29,1,6,1,7,2,13,1,11,1,17,6,16,1,8,3,9,1,10,1,17,1,9,1,17,2,16,1,13,1,6,1,7,1,29,1,13,1,8,1,24,1,28,36,30,1,28,1,11,1,9,3,16,1,29,1,28,3,29,1,6,1,8,1,11,1,17,7,16,1,11,1,9,2,11,2,9,1,12,1,8,1,12,1,17,1,9,2,8,2,17,1,16,1,11,1,10,1,17,6,28,17,8,1,10,1,17,1,12,1,17,1,12,3,24,2,15,1,12,2,17,2,24,2,25,1,27,1,24,1,25,1,26,1,27,1,30,1,28,2,30,1,28,1,6,1,28,3,30,2,29,1,7,1,24,1,28,1,24,2,17,41,12,1,17,1,12,1,17,9,16,1,11,1,9,1,13,3,6,1,13,1,6,2,29,1,6,1,30,5,29,1,6,5,7,1,6,3,29,1,6,2,29,1,6,1,30,1,6,1,30,1,13,1,30,1,7,1,6,1,29,2,6,3,7,1,6,2,28,1,7,1,6,1,7,2,13,3,7,2,8,2,13,1,8,1,13,4,8,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,8,2,13,2,9,1,10,1,9,1,8,2,9,1,8,1,9,2,13,1,8,3,13,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,6,1,8,1,13,1,8,1,13,3,8,1,7,1,13,1,8,3,13,3,24,1,8,1,13,1,8,1,13,1,7,1,13,2,8,1,7,1,6,1,7,1,6,1,29,1,6,1,29,1,6,2,29,2,30,1,6,1,30,2,6,1,30,2,29,1,6,1,29,1,30,5,28,1,30,2,6,1,28,1,6,1,30,1,29,1,7,2,13,1,24,1,8,1,13,1,8,2,13,6,24,1,6,1,13,2,6,1,13,5,8,1,13,1,8,1,13,2,8,1,9,1,8,1,6,1,8,1,6,1,13,2,8,1,13,1,6,1,29,1,6,1,29,2,7,1,30,1,6,1,30,1,7,1,30,3,28,1,29,1,28,1,30,2,28,8,30,1,28,3,30,4,28,1,30,1,28,1,30,1,6,2,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,7,28,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,30,3,6,1,28,1,30,5,28,1,30,3,28,1,30,1,28,1,30,12,29,1,6,1,7,2,6,1,9,1,11,1,17,1,12,1,17,6,12,1,11,1,10,1,9,3,8,1,9,2,8,4,13,1,8,2,9,1,13,1,10,1,11,1,8,2,10,1,8,1,17,1,10,1,11,1,12,1,11,1,10,1,12,1,10,1,9,1,12,1,9,1,11,1,9,2,11,1,12,2,17,1,12,1,17,2,12,2,17,1,11,1,17,2,12,1,11,3,9,1,12,1,11,2,9,3,10,1,12,1,11,1,17,2,10,1,17,2,12,1,17,8,11,1,17,2,11,1,17,1,11,1,10,2,11,1,9,3,10,1,17,5,12,1,17,4,11,1,9,1,17,1,12,1,10,1,24,1,8,1,9,1,8,1,9,1,10,1,12,1,9,2,12,1,17,2,11,1,17,1,12,1,11,2,9,1,10,1,9,2,24,1,8,1,13,2,8,1,29,1,6,3,7,1,6,1,7,3,6,1,8,2,13,1,9,1,13,1,8,1,13,2,10,1,9,1,11,1,12,1,9,2,17,1,12,1,9,1,11,1,9,2,17,11,11,1,12,2,11,1,12,1,10,1,12,1,11,1,10,1,11,1,17,2,11,1,17,8,12,1,11,1,17,1,10,1,12,2,17,3,9,1,12,1,17,59,16,2,9,1,13,2,7,1,13,1,8,1,13,1,6,1,12,2,17,3,12,1,17,7,10,1,12,1,9,1,17,1,8,1,9,1,24,1,8,2,13,3,29,1,6,2,30,1,7,1,6,4,7,1,6,1,29,1,6,1,30,1,6,1,30,1,28,1,30,2,28,1,9,1,6,1,30,2,28,2,30,1,6,1,30,1,13,1,28,4,30,3,28,1,30,1,28,2,6,1,30,1,7,1,30,5,6,1,13,1,6,1,30,1,28,1,30,10,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,3,6,1,30,3,6,1,28,1,30,5,28,1,30,2,28,21,30,1,28,4,30,1,28,4,30,4,28,1,30,2,28,3,30,3,28,2,30,4,28,3,30,2,28,4,13,1,6,1,28,2,30,1,28,3,6,1,30,1,28,1,30,2,6,1,28,3,30,1,28,1,30,1,28,1,30,4,28,3,30,3,28,1,30,2,28,1,13,1,30,1,28,1,30,2,28,2,30,4,28,1,30,3,28,3,30,1,28,2,30,2,28,2,29,1,28,5,30,1,28,1,30,2,6,1,28,1,29,1,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,5,28,2,30,1,28,1,6,1,28,3,30,1,28,2,30,2,28,1,30,3,28,3,30,1,28,4,6,2,28,4,30,2,13,1,6,1,28,1,30,1,28,9,30,1,6,1,30,1,28,10,30,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,2,7,1,6,1,30,2,6,1,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,13,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,4,30,2,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,1,13,1,30,1,13,1,6,2,30,1,28,4,30,3,28,4,30,2,28,3,30,1,28,1,30,1,28,1,6,1,28,4,30,1,28,3,30,1,28,1,30,3,28,2,6,1,28,1,30,1,28,8,7,1,9,1,13,1,28,3,30,1,28,1,30,2,28,8,30,1,28,1,6,1,28,1,29,1,28,1,30,3,28,1,29,1,30,4,6,1,30,1,6,2,30,2,28,6,30,1,28,1,30,2,6,2,30,1,28,1,6,1,30,1,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,29,1,28,1,29,1,30,5,28,3,29,1,30,2,28,10,6,1,28,1,13,1,28,1,30,3,28,3,30,2,28,4,30,1,28,1,30,1,28,7,30,1,6,2,30,1,7,1,6,2,28,1,29,1,30,2,28,1,6,1,13,1,6,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,4,13,1,9,1,13,1,24,1,12,1,17,1,10,1,12,1,17,69,16,2,17,1,10,1,17,1,11,1,9,1,13,2,6,2,28,2,30,2,28,2,30,1,28,3,30,1,13,1,9,1,7,1,13,2,7,1,6,5,13,1,6,1,7,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,7,1,6,2,13,1,30,1,7,1,13,6,9,1,10,1,9,1,12,1,9,1,13,1,11,1,9,1,10,2,13,1,11,1,9,2,8,2,13,3,8,1,7,1,13,6,7,1,8,3,9,3,8,2,13,3,8,1,13,6,7,1,13,2,6,2,7,1,30,1,13,3,7,1,6,1,8,2,7,2,13,1,8,1,13,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,8,2,9,3,13,1,8,1,9,1,8,1,9,2,8,1,9,8,8,1,9,1,8,1,10,1,8,1,10,1,9,10,11,1,9,2,10,1,8,1,9,5,8,2,9,1,8,2,9,2,8,1,13,1,9,1,8,1,9,1,8,5,9,1,8,2,11,1,9,1,8,1,9,1,10,1,9,4,8,1,10,1,13,2,9,4,13,1,9,3,13,2,8,2,13,1,8,2,9,9,13,1,11,1,17,45,9,2,13,1,9,2,11,1,13,7,6,1,13,6,7,1,13,2,29,1,13,1,6,1,30,1,13,1,6,3,7,1,6,1,29,1,7,1,29,1,6,3,30,1,13,1,30,1,7,1,13,1,30,1,6,4,7,1,6,2,13,1,28,1,6,1,13,1,6,1,13,6,6,1,30,1,6,1,28,1,29,2,30,1,29,2,30,1,29,1,6,1,28,1,29,1,28,1,29,1,30,1,6,1,28,1,29,1,30,2,28,20,6,2,30,2,29,1,30,1,29,1,28,1,30,2,28,8,30,1,28,7,30,2,6,1,30,6,6,2,30,2,28,1,30,1,28,4,30,1,6,1,28,1,29,1,30,2,28,3,29,1,6,1,28,1,6,2,30,1,6,1,29,1,6,1,13,1,6,5,7,1,13,1,30,3,28,1,30,1,6,1,30,2,28,1,29,2,30,1,29,2,6,2,30,1,6,1,7,1,9,1,11,1,17,1,16,1,17,30,11,1,17,2,16,1,17,2,16,2,11,1,17,1,16,2,11,1,12,1,16,2,12,2,16,1,11,1,16,1,11,2,16,1,9,1,11,1,16,2,11,1,12,1,16,1,17,1,11,2,17,1,16,1,17,2,11,1,16,2,9,1,16,2,11,1,16,1,11,1,9,1,11,3,9,1,11,4,10,1,16,1,11,1,16,1,9,1,11,2,16,1,11,4,16,2,11,1,16,1,11,1,17,2,16,3,17,1,16,1,17,2,16,1,17,1,16,1,17,4,16,2,17,2,16,4,11,1,16,1,11,5,16,1,10,1,11,3,17,2,16,1,17,2,16,2,11,2,16,1,11,1,16,1,11,2,17,1,16,2,17,1,16,1,11,1,17,5,16,1,17,4,16,1,17,12,16,5,17,1,16,1,17,2,16,1,17,1,16,2,17,1,16,1,17,1,11,1,17,1,16,1,17,1,16,1,17,8,11,1,7,1,28,16,17,3,9,1,7,1,28,2,30,2,28,16,6,4,13,1,10,2,28,7,30,1,9,1,8,1,6,1,29,1,6,1,28,40,9,2,6,1,30,1,28,1,29,1,13,1,17,1,13,1,6,1,28,4,6,3,7,1,6,1,7,1,6,2,7,1,13,1,6,1,13,1,8,2,13,1,8,1,7,1,8,2,}, {28,42,30,1,28,9,9,1,17,1,14,1,12,1,8,1,30,1,29,2,30,1,9,1,10,1,24,1,6,1,13,1,30,1,9,1,12,1,16,1,17,3,11,2,16,1,11,1,10,1,13,1,28,6,29,1,24,1,17,1,6,1,29,1,6,1,13,1,6,1,29,1,9,1,17,4,11,1,17,1,16,1,11,1,9,3,17,1,16,1,11,1,17,2,10,1,13,1,6,2,28,1,7,1,13,2,28,36,30,1,28,1,9,1,12,2,9,1,11,1,6,1,30,1,28,1,30,1,29,1,8,1,7,1,9,1,17,7,16,1,11,1,8,1,11,1,17,1,10,1,9,1,8,1,9,1,11,1,17,1,11,1,17,1,9,1,11,1,9,2,11,1,16,1,17,5,16,1,30,1,28,16,13,1,17,1,12,3,15,1,12,1,24,1,12,2,24,1,12,2,15,1,17,1,24,1,12,1,24,1,25,4,27,2,30,1,28,1,30,2,29,2,28,2,30,3,6,1,13,1,30,1,13,1,8,1,9,1,10,1,17,24,12,1,17,21,12,1,17,2,12,1,17,1,11,1,9,1,8,1,7,1,8,1,13,2,29,1,6,2,30,1,6,1,30,2,6,6,29,1,13,1,6,1,13,1,30,1,6,4,30,1,6,1,30,1,6,2,29,1,6,2,30,3,7,1,30,1,6,4,13,2,7,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,8,3,13,2,8,1,10,1,13,1,9,1,6,1,13,3,7,1,13,2,9,1,13,1,9,2,8,1,9,1,13,1,8,2,9,1,8,1,9,1,10,1,13,1,8,1,9,1,8,1,13,1,9,1,24,1,13,2,9,1,13,1,9,1,13,6,7,1,6,1,13,2,24,1,13,1,8,2,13,1,8,4,13,2,8,5,13,3,7,1,24,1,13,1,7,1,6,1,7,1,6,1,30,1,29,1,6,2,30,1,6,2,28,1,6,2,29,1,30,2,28,1,30,1,28,1,6,1,30,2,28,1,30,1,6,1,30,2,29,1,28,1,29,1,28,1,29,1,6,2,13,1,8,1,13,1,9,1,13,1,8,1,24,1,13,2,6,1,13,5,7,1,13,1,7,1,13,1,7,1,13,3,8,2,9,1,8,1,13,1,8,1,13,2,8,1,13,2,6,1,8,1,7,1,8,1,29,1,30,1,6,1,30,1,6,1,30,1,28,1,29,1,6,1,30,1,29,1,6,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,2,28,1,29,1,30,2,28,1,30,3,28,2,30,1,29,1,28,2,6,1,30,1,28,2,30,4,29,1,30,2,28,3,30,1,28,1,30,4,28,1,30,3,28,1,30,1,29,1,6,1,30,1,28,1,30,3,28,1,30,1,28,2,29,1,28,1,30,2,29,1,28,2,30,1,28,2,30,4,28,1,6,2,7,3,13,1,9,1,17,1,11,1,17,6,12,1,17,2,9,1,8,1,10,2,8,1,24,1,8,2,9,1,13,1,9,1,13,1,9,1,10,1,9,1,11,1,9,2,11,1,17,1,9,2,10,1,9,2,12,1,9,1,12,1,9,3,10,1,11,2,9,2,10,1,9,1,17,1,12,1,17,4,11,1,17,4,9,1,11,1,17,1,12,1,9,1,17,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,12,1,17,1,11,1,17,2,11,1,12,1,17,3,12,1,17,6,11,1,17,1,9,2,11,1,9,1,11,1,9,1,17,9,12,2,17,4,11,1,24,1,8,1,13,1,9,1,8,1,10,1,9,1,10,1,9,1,8,1,12,1,9,1,10,1,17,3,10,1,12,1,9,1,8,1,9,3,24,1,13,2,6,1,13,1,6,2,29,1,7,1,6,2,30,1,13,3,8,2,24,1,10,1,11,1,17,1,8,2,10,1,9,1,8,1,12,1,10,1,17,1,11,1,17,1,11,1,10,1,17,7,12,1,17,2,12,1,17,3,11,1,17,1,12,1,17,1,11,1,10,1,17,2,11,1,17,10,9,1,17,1,11,1,12,1,17,2,10,1,17,1,11,1,17,1,12,2,17,17,11,1,17,40,11,2,13,1,8,1,13,1,7,1,8,2,13,1,8,1,17,5,12,1,17,1,12,2,17,2,12,2,17,1,9,1,10,1,9,3,8,1,24,1,13,2,6,5,29,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,30,1,29,1,30,2,29,1,30,2,7,1,30,2,28,1,30,1,28,1,6,2,30,2,6,1,28,2,30,2,28,5,30,1,6,1,30,2,6,1,29,1,30,2,6,1,30,1,13,1,6,1,30,2,28,1,30,3,6,1,30,2,28,1,6,1,28,2,6,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,13,1,30,4,29,1,30,1,28,1,6,1,30,1,28,3,30,1,28,4,30,1,28,8,30,1,28,2,30,1,28,4,30,1,28,4,29,1,30,8,28,2,6,1,30,2,28,1,30,1,6,1,30,1,6,1,28,1,6,1,30,3,28,2,30,2,28,3,30,1,28,3,13,1,30,3,28,4,30,1,28,2,30,1,28,5,30,3,28,1,6,1,30,2,28,1,30,5,28,1,30,1,28,2,30,1,6,1,13,1,30,4,28,3,30,3,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,7,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,6,28,1,30,3,28,1,30,1,28,2,30,3,28,4,30,1,28,2,6,1,28,4,6,1,30,1,28,2,30,2,13,1,6,2,28,3,30,1,28,8,6,1,28,4,30,1,28,10,30,2,28,1,30,3,6,2,29,1,30,1,28,1,30,7,28,7,30,1,28,4,30,1,28,4,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,5,30,1,28,19,30,1,28,1,30,1,28,5,30,1,6,1,13,1,28,3,30,1,28,3,30,2,28,23,6,1,28,6,30,1,28,1,30,1,28,7,30,1,7,1,13,1,30,1,28,1,30,1,28,6,30,1,28,10,30,1,28,1,30,3,6,1,30,6,28,2,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,6,1,30,4,6,1,30,1,29,1,30,1,28,1,30,2,29,1,30,3,6,1,30,2,28,1,30,4,28,2,30,3,28,3,30,4,28,5,30,1,28,2,30,1,6,1,28,4,30,1,28,10,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,13,1,6,1,30,2,7,1,29,1,6,1,30,1,28,2,6,1,28,6,30,2,28,3,30,2,29,1,7,1,13,1,15,1,9,1,10,1,14,1,17,2,12,1,17,67,16,1,17,1,16,1,17,1,11,1,12,2,9,1,8,1,13,1,6,1,29,1,30,1,29,1,30,1,28,8,6,1,9,1,8,1,13,4,7,1,6,1,13,1,6,3,7,1,6,1,13,2,7,1,13,5,7,1,13,1,8,1,13,2,6,2,13,4,9,1,10,1,9,1,16,1,9,6,8,1,10,1,8,1,9,1,13,1,8,1,13,2,6,1,13,3,9,1,13,3,9,1,13,4,7,1,13,1,9,1,13,2,8,1,13,5,8,1,13,4,6,1,13,1,6,1,13,1,29,1,13,2,7,1,6,2,13,1,6,1,13,1,8,1,13,2,8,1,13,1,9,3,8,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,10,1,9,1,10,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,2,13,2,11,1,9,4,11,1,9,1,8,1,9,1,13,1,9,1,8,1,9,2,10,1,9,1,10,1,11,1,13,1,9,1,16,1,9,5,8,1,9,6,13,1,9,3,8,1,10,1,8,1,9,1,8,2,9,1,8,1,9,2,8,1,11,1,9,1,8,2,9,1,8,2,9,1,8,1,13,1,9,1,8,1,9,2,13,2,8,1,13,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,2,8,1,9,4,8,1,9,1,10,1,8,2,9,4,17,44,9,2,8,2,9,1,8,2,13,3,6,1,13,1,7,1,13,1,7,1,13,5,7,1,6,3,29,1,13,1,6,2,7,1,6,2,13,1,6,1,13,1,30,1,13,1,6,9,30,1,6,1,13,1,6,1,13,2,6,2,13,1,7,1,6,2,13,4,7,1,13,2,6,1,30,3,29,1,30,1,6,1,29,1,30,1,29,1,30,1,28,1,29,2,30,1,29,3,30,1,6,1,28,2,30,1,28,19,13,1,6,2,30,2,29,1,30,1,28,1,29,1,30,6,28,2,30,1,28,8,29,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,28,7,30,1,28,3,30,1,28,1,30,3,28,1,30,1,29,1,28,1,30,2,6,3,7,3,6,2,30,2,6,1,30,1,29,1,6,2,30,2,29,1,6,2,29,1,28,1,30,2,6,3,29,1,7,1,8,1,16,1,17,1,16,1,17,9,16,1,17,24,11,1,17,3,16,1,17,3,16,2,17,1,11,1,12,1,17,1,11,1,17,1,11,1,9,1,16,1,9,1,17,1,11,1,17,1,16,1,11,1,17,1,11,1,12,1,11,2,16,1,11,2,12,1,11,1,10,1,16,1,11,1,16,1,11,1,9,1,16,2,11,3,9,1,16,1,10,1,9,2,12,1,11,1,9,1,11,2,10,2,11,1,16,1,11,1,10,1,11,1,9,1,16,1,11,1,17,1,11,1,16,2,11,1,10,1,16,3,11,1,17,1,16,1,17,3,16,1,17,1,16,1,17,3,16,1,11,1,16,3,9,1,17,1,16,3,11,1,16,2,9,1,16,1,10,1,17,1,11,3,16,1,11,1,16,3,17,2,16,2,11,2,17,5,16,2,17,1,16,1,17,3,16,2,17,3,16,1,11,1,17,1,11,1,17,2,16,1,17,3,16,2,17,1,16,1,11,1,17,1,16,1,11,1,17,3,16,1,10,1,17,3,16,1,17,3,16,1,17,5,16,1,17,7,13,1,28,16,17,2,9,1,8,1,6,1,29,2,28,16,30,1,28,2,13,1,30,1,6,2,9,1,17,1,28,7,6,1,7,1,13,1,16,1,28,42,11,1,9,1,30,1,28,3,8,1,11,1,7,1,13,1,28,2,30,1,28,1,29,1,6,1,30,1,13,1,8,1,13,3,30,1,8,1,6,1,9,1,8,1,9,2,8,1,10,1,17,1,9,1,}, {28,44,29,1,28,7,8,1,11,1,17,1,12,1,13,1,6,2,30,1,6,1,13,1,16,1,11,1,13,1,7,1,29,1,9,2,17,4,16,2,17,1,11,1,9,2,28,6,30,1,12,1,17,1,13,1,30,1,13,1,6,1,29,1,13,1,10,1,16,1,17,2,11,1,16,1,11,1,17,1,9,1,13,1,9,1,8,1,16,3,11,1,17,1,9,2,30,1,29,1,6,2,13,2,28,37,6,1,7,1,9,1,11,1,9,2,29,1,28,3,6,3,11,1,9,1,17,3,16,1,17,2,11,1,16,1,11,3,16,1,9,1,10,1,13,1,9,1,17,1,10,1,9,1,10,1,11,2,17,1,10,1,9,1,17,6,28,17,7,1,17,1,12,1,17,1,24,1,15,2,24,2,8,1,24,2,12,2,15,1,12,2,24,2,25,4,27,1,30,4,29,2,30,1,28,1,30,3,29,1,7,1,8,1,6,1,24,1,10,2,17,27,12,1,17,4,12,1,17,15,11,1,17,1,11,1,9,3,13,1,6,1,29,1,6,1,13,1,30,1,6,1,30,3,13,1,30,1,6,2,30,1,29,1,6,3,13,1,6,1,7,2,6,1,7,1,6,1,29,1,6,1,30,1,6,1,29,1,6,4,7,1,29,2,6,6,30,1,6,1,7,3,6,1,13,3,8,1,13,1,8,1,9,3,13,1,9,1,7,1,13,1,8,2,13,1,9,1,6,1,13,2,7,1,9,1,8,1,11,1,9,1,8,1,9,2,8,1,24,1,8,2,13,1,9,1,8,1,24,2,8,2,13,1,8,2,24,1,7,1,13,1,8,1,13,1,7,1,13,1,8,1,7,1,8,1,13,1,24,1,6,1,8,2,9,1,6,1,8,1,24,2,13,3,8,2,13,1,8,2,13,5,8,1,13,1,6,1,7,1,6,3,28,1,29,1,30,1,6,3,30,6,29,1,30,1,28,2,30,1,6,1,30,5,28,1,30,3,6,1,29,1,6,1,13,1,8,1,13,1,8,2,9,1,13,2,7,1,6,2,13,4,7,1,6,1,13,4,30,1,13,2,7,1,13,3,8,4,13,3,8,1,7,3,6,2,30,1,6,1,30,1,29,1,28,1,6,1,28,1,29,1,30,1,28,1,30,1,29,1,28,2,30,2,28,1,30,1,28,1,30,2,28,2,29,1,28,1,30,2,28,1,6,1,30,4,28,1,6,1,30,2,28,2,30,4,29,1,30,2,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,2,29,1,30,1,6,1,30,2,29,1,30,1,6,1,30,3,6,1,30,2,6,1,30,1,28,1,30,2,6,4,29,1,6,2,13,3,6,1,8,2,17,10,12,2,9,1,12,1,10,1,9,3,13,1,9,2,8,1,10,2,8,1,10,1,9,2,11,1,8,1,17,2,8,2,11,1,9,1,11,1,10,3,8,1,9,2,10,1,13,1,11,1,10,1,12,1,9,1,12,4,17,5,11,1,9,1,12,1,17,1,12,1,10,1,11,1,12,1,9,1,17,1,9,1,12,1,9,1,11,1,9,1,12,1,9,1,11,5,17,8,12,3,17,2,12,1,9,1,10,1,11,1,9,1,17,2,10,1,17,9,12,1,17,1,9,1,12,1,11,1,12,1,9,2,8,1,24,1,8,1,9,2,10,2,9,1,12,2,10,1,17,1,11,1,12,2,13,1,9,4,8,1,9,1,13,4,8,1,7,1,6,1,13,2,6,1,8,1,13,1,8,1,13,1,24,1,8,1,9,1,8,1,13,1,9,1,10,1,11,3,10,2,17,1,10,1,11,1,12,1,17,2,12,1,10,1,12,1,10,1,17,9,12,1,17,2,11,1,17,1,11,1,17,1,11,1,17,15,11,1,9,1,12,1,17,3,11,1,17,58,11,1,9,2,8,1,13,2,8,2,13,2,9,1,17,6,12,1,17,5,12,1,11,1,9,1,12,1,9,1,10,2,9,1,24,1,7,1,13,2,6,1,29,2,6,2,30,1,29,1,7,1,6,1,7,1,6,6,28,1,30,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,6,2,30,1,6,2,28,2,30,1,28,1,30,1,6,1,28,3,30,1,28,1,30,1,29,1,6,1,29,1,6,1,30,2,13,2,6,1,13,2,28,1,6,2,30,1,6,1,30,3,28,1,30,1,6,1,30,1,29,1,28,1,6,1,28,1,6,2,30,3,6,1,30,2,6,1,28,1,30,1,6,1,30,1,29,1,6,2,30,1,28,2,30,1,29,1,28,2,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,4,30,3,28,1,30,2,28,1,30,1,6,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,3,30,1,6,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,13,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,2,28,3,30,3,28,6,30,1,29,1,28,1,30,1,6,1,30,1,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,2,28,5,30,2,28,1,30,1,28,5,29,1,28,2,30,4,28,2,6,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,6,1,28,2,30,2,29,1,30,2,28,7,9,1,6,1,28,1,30,1,6,1,13,2,6,1,30,2,28,7,30,1,28,4,30,2,28,1,30,1,28,6,30,2,6,1,28,6,30,1,6,1,13,2,6,1,30,2,28,3,30,2,28,1,30,1,28,8,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,3,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,11,30,1,28,2,30,1,28,1,13,2,28,5,30,1,28,18,30,1,28,6,30,2,28,6,30,1,28,8,30,1,28,1,13,1,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,2,30,5,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,2,28,1,6,1,28,3,30,3,6,2,30,1,6,1,28,1,6,1,30,4,29,1,6,2,30,4,28,1,30,1,6,2,30,1,29,1,30,2,28,1,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,1,29,1,30,3,29,1,6,1,28,6,30,1,28,8,30,1,28,4,30,1,28,2,30,2,28,1,6,5,29,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,6,30,1,13,1,10,1,24,1,9,1,17,1,12,1,17,1,12,1,17,71,10,1,9,3,13,2,6,1,30,1,29,1,30,2,29,1,28,1,30,1,28,4,30,1,28,1,9,3,8,1,13,11,7,1,13,1,7,2,6,1,13,2,7,2,13,1,6,1,13,2,8,3,13,2,10,1,17,1,9,3,11,1,9,2,13,1,9,1,8,1,9,2,8,1,9,1,13,1,8,1,13,2,6,1,13,5,9,1,6,1,13,4,11,1,9,1,13,1,9,1,8,1,13,9,6,1,13,2,6,2,13,2,6,1,13,4,7,1,13,1,8,1,13,1,8,4,13,1,8,1,9,1,8,2,13,1,8,2,13,1,9,1,13,1,8,1,13,1,9,1,8,1,6,1,8,1,13,1,9,1,8,2,9,1,8,1,9,3,8,1,9,1,13,2,9,2,8,1,12,1,9,1,8,2,9,2,8,2,10,1,11,1,8,1,9,2,10,1,9,1,13,1,9,3,11,1,8,1,10,1,9,2,11,1,9,4,8,1,17,1,9,1,8,1,13,1,8,3,13,2,8,1,9,1,8,2,9,1,11,1,8,3,9,1,8,4,13,1,8,1,13,1,8,1,9,1,13,1,9,4,13,1,9,1,8,1,13,2,8,1,9,1,8,1,9,1,8,2,9,1,8,1,9,4,10,1,8,1,13,1,9,1,10,1,17,43,9,2,13,2,11,1,8,1,13,5,7,1,6,1,13,2,6,1,13,1,29,1,7,1,13,1,7,1,6,2,7,1,6,5,7,1,6,2,13,1,29,1,13,2,7,1,6,1,13,1,6,3,7,1,6,4,7,1,6,1,29,1,7,1,6,3,30,1,7,1,6,1,13,4,7,1,9,1,13,1,30,2,28,1,30,1,28,1,29,3,6,1,28,1,30,1,29,1,30,1,29,5,28,1,29,2,30,1,6,1,28,1,30,1,28,18,13,1,29,1,6,1,30,1,29,1,30,1,29,1,30,4,29,1,28,1,30,1,28,1,30,1,28,8,30,3,6,1,30,2,28,2,6,1,30,4,28,1,30,1,28,1,6,1,28,2,30,2,6,1,28,1,30,1,28,3,30,1,28,1,6,1,30,1,6,1,7,1,29,1,7,1,30,1,13,1,6,1,7,1,6,2,7,1,6,1,30,1,6,1,7,1,30,1,6,1,28,1,30,7,6,1,30,1,6,1,30,1,6,1,13,1,10,1,11,1,16,1,17,2,11,1,17,17,16,1,17,11,16,1,17,9,11,1,17,4,16,1,17,1,11,1,17,1,11,1,16,5,12,1,16,1,17,1,16,1,10,1,17,1,10,1,17,1,16,1,11,1,17,2,16,1,11,1,16,1,11,1,16,1,17,1,11,1,16,1,17,1,16,1,11,2,12,1,16,2,11,1,9,1,10,2,11,2,10,1,11,2,17,1,10,1,11,1,9,1,16,1,10,1,9,1,16,1,9,1,11,1,16,1,11,1,16,3,11,2,16,1,11,2,16,1,11,1,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,3,17,1,16,1,11,1,16,1,11,1,9,1,11,1,16,3,17,1,11,1,16,1,11,1,17,1,16,3,17,2,11,1,16,1,11,2,17,1,16,3,17,2,16,4,17,3,16,2,17,2,16,1,17,1,16,1,17,4,16,3,17,1,16,1,17,2,16,3,17,5,16,1,17,2,16,1,17,1,16,3,17,2,11,2,16,1,17,1,16,2,17,6,12,1,8,1,28,16,17,2,9,1,13,1,30,1,29,2,28,1,30,1,28,2,30,1,28,13,29,2,6,1,13,1,8,2,17,1,28,7,30,1,13,1,8,1,9,1,30,1,28,41,6,1,9,1,6,1,28,3,8,1,16,1,6,2,28,3,6,1,29,1,30,1,6,2,13,1,7,1,30,1,13,4,10,1,9,1,11,1,9,1,12,1,9,1,11,1,16,1,}, {28,52,13,1,17,1,14,1,16,1,8,1,30,3,6,2,12,2,24,1,30,1,7,1,13,1,9,1,17,5,16,3,11,1,8,1,28,6,29,1,24,1,12,1,8,1,13,1,7,1,13,1,6,1,13,1,9,1,16,1,17,6,13,1,9,1,7,1,9,1,17,1,11,3,17,1,16,1,13,1,6,1,30,1,6,1,13,3,28,38,13,1,11,2,9,2,13,1,28,4,13,2,9,1,17,7,16,1,11,1,16,1,11,1,9,1,11,1,17,1,9,2,8,1,9,1,17,1,9,1,17,1,11,1,16,1,17,3,16,1,17,1,16,1,17,3,6,1,28,16,6,1,17,2,12,2,24,2,12,2,24,1,12,1,24,1,12,1,24,1,15,2,24,3,25,3,27,1,26,1,27,1,30,4,28,1,6,1,30,1,28,1,30,1,29,2,7,1,25,1,26,1,25,1,24,1,10,1,17,13,12,1,17,15,12,1,17,4,10,1,17,1,11,1,17,4,11,1,17,5,16,1,11,2,9,2,8,1,13,3,7,1,13,1,7,1,30,1,29,2,6,2,13,1,6,2,13,1,6,1,29,2,7,2,13,3,6,1,7,1,6,1,13,1,7,1,13,1,6,2,7,2,6,1,7,1,13,1,6,2,30,1,7,1,30,1,6,2,28,1,7,1,6,1,7,2,13,2,6,1,13,1,6,2,8,1,9,1,13,2,8,1,9,1,13,2,6,1,13,2,8,1,6,1,8,1,7,1,9,1,13,1,9,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,24,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,24,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,24,1,13,1,6,1,13,1,9,1,7,1,8,1,13,4,8,2,7,1,13,2,8,1,13,2,9,1,8,1,13,3,8,1,13,4,7,3,6,1,7,1,6,2,7,1,6,1,30,1,6,1,29,1,7,1,6,1,30,1,6,1,30,1,29,1,28,1,30,2,28,2,30,1,29,1,7,1,30,3,29,1,30,1,29,1,28,1,6,1,30,1,7,1,13,4,8,1,13,2,6,2,13,1,7,1,13,3,6,1,7,1,6,1,30,1,6,1,13,2,7,1,9,1,13,1,8,1,13,1,8,2,13,4,7,1,13,1,7,1,13,2,6,1,30,4,29,1,30,3,29,1,30,7,28,4,30,1,28,1,29,1,30,3,6,1,30,1,28,1,7,1,6,1,30,1,28,1,30,1,7,1,30,3,29,1,30,2,29,1,30,3,28,1,29,1,30,1,28,3,30,1,29,1,30,1,28,1,30,1,6,1,30,1,29,2,6,1,28,1,6,3,28,2,6,1,28,2,30,1,6,1,29,2,28,1,30,4,29,1,30,2,29,1,30,1,7,1,30,2,6,3,13,2,8,1,13,1,8,2,12,1,17,10,11,1,10,1,17,1,10,1,9,1,8,1,9,3,10,1,9,2,10,1,9,1,11,2,9,1,11,2,17,1,8,1,10,2,11,1,10,2,11,1,9,1,11,1,9,1,12,1,8,1,10,1,8,1,9,1,10,1,11,1,9,1,12,1,11,1,17,1,11,1,17,4,11,2,17,1,12,3,11,2,9,1,17,1,10,1,12,1,11,1,10,1,11,1,10,1,11,1,17,4,11,1,17,1,12,1,17,2,12,1,17,2,12,1,17,3,11,1,12,1,11,1,17,1,11,1,12,3,17,6,11,1,17,7,12,1,9,3,11,1,10,1,8,2,9,1,24,1,9,1,11,1,10,2,9,1,12,1,9,1,17,2,11,1,12,1,9,1,17,1,13,1,8,1,9,1,8,1,9,1,13,1,24,1,8,2,29,1,13,1,7,1,13,1,6,1,13,2,8,1,7,1,11,1,9,3,8,1,9,2,24,1,9,1,11,2,17,1,8,1,17,6,12,2,17,2,12,1,10,1,17,2,12,1,17,1,12,1,17,1,12,1,17,3,11,1,17,16,10,1,17,1,11,1,12,2,17,4,12,1,11,1,17,14,11,1,17,1,12,1,17,40,9,1,8,1,9,1,13,4,9,1,13,1,8,1,9,1,12,1,17,3,12,1,17,5,12,1,17,2,10,1,17,1,9,1,10,1,24,1,10,1,8,1,13,2,7,1,6,3,7,2,6,2,13,1,6,1,7,1,13,3,6,1,13,1,7,1,6,1,30,1,28,1,30,2,6,2,30,1,28,2,30,1,28,2,30,1,29,1,30,2,28,3,30,1,28,5,6,1,30,1,6,6,30,1,11,1,13,1,7,1,6,2,30,1,29,1,30,2,28,1,30,1,6,1,30,1,6,1,30,2,28,2,30,1,6,1,28,2,6,1,30,1,6,1,28,1,6,2,30,1,13,1,30,3,6,1,30,1,6,1,28,1,30,1,28,1,30,3,28,5,30,2,28,1,30,1,28,2,30,2,28,9,30,1,6,1,30,1,28,1,30,1,28,1,30,3,28,3,30,3,28,3,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,7,30,1,28,1,13,1,9,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,4,28,2,6,1,28,1,30,5,28,1,30,1,28,1,30,1,6,1,28,1,6,1,28,1,6,1,30,2,13,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,4,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,2,30,2,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,5,30,3,28,2,30,1,28,1,30,2,28,3,30,1,28,1,30,3,28,1,6,1,30,3,28,1,30,2,28,1,30,1,28,5,9,1,6,2,13,2,6,1,30,2,6,1,28,2,30,1,28,11,6,1,30,1,6,2,30,1,28,5,30,1,28,4,30,1,28,1,30,2,6,2,13,1,29,1,30,2,28,2,30,1,28,9,30,1,28,2,30,1,28,3,6,1,29,1,28,8,30,3,28,2,30,1,28,5,30,1,28,8,30,1,28,5,30,1,28,12,10,1,6,1,28,21,30,3,28,1,30,1,28,1,30,2,28,2,30,1,29,1,30,1,28,15,13,2,30,2,28,2,30,1,28,2,30,1,28,6,30,2,28,4,30,1,28,2,30,1,28,2,30,3,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,2,30,1,6,2,30,1,6,1,30,2,28,1,30,1,28,1,6,2,30,1,6,1,30,7,6,1,29,1,6,1,13,1,6,1,29,1,30,1,28,2,30,1,28,1,30,1,28,5,30,1,29,1,28,1,6,1,30,1,28,5,6,1,30,2,28,7,30,3,28,4,30,1,6,3,28,2,6,1,30,4,6,3,30,3,28,1,30,4,28,3,30,4,6,1,28,6,30,1,29,1,9,2,8,1,17,74,10,1,17,1,9,2,13,1,8,1,7,1,29,1,28,1,29,1,30,3,28,1,30,1,28,6,6,1,17,1,11,1,8,1,9,2,13,1,8,2,13,4,8,1,13,11,8,1,13,1,6,1,13,4,9,1,11,2,9,5,10,2,9,1,11,1,8,2,13,11,8,1,13,1,8,1,6,1,13,5,9,3,8,1,9,1,13,1,8,1,13,3,7,1,13,2,6,3,13,1,7,1,13,1,6,1,13,1,29,1,13,1,6,2,13,2,6,1,13,2,9,1,8,2,9,1,8,1,13,1,8,1,10,1,13,3,8,1,9,3,8,1,13,1,9,2,8,2,13,3,8,3,13,2,8,1,9,1,11,1,8,2,9,1,13,1,9,1,8,1,9,1,8,1,9,2,10,1,13,1,8,1,9,3,11,1,9,1,8,1,9,1,8,1,9,3,17,1,11,1,9,1,8,2,10,1,9,3,8,1,9,1,13,1,9,3,8,3,10,1,13,1,11,1,9,1,13,1,9,1,13,3,8,1,13,1,9,2,8,2,13,1,9,2,8,1,13,1,8,2,13,1,9,2,13,1,8,1,9,1,10,1,9,3,8,1,9,1,8,1,13,1,9,1,10,1,9,3,8,1,9,1,8,1,9,1,13,1,11,1,17,42,9,1,8,1,9,2,11,1,13,2,7,1,13,5,6,1,7,1,13,4,7,1,29,1,13,1,30,1,13,1,6,3,7,1,6,2,7,1,6,2,29,1,7,1,6,1,7,1,6,1,7,1,6,2,30,1,13,1,29,1,6,1,29,1,30,2,7,1,6,1,30,1,13,1,7,1,29,1,13,1,6,1,13,1,6,1,13,1,7,2,8,1,13,1,8,1,13,1,7,1,30,1,28,1,29,1,30,1,27,1,30,1,28,2,30,2,6,1,27,2,29,3,30,1,29,1,28,1,30,2,29,1,28,19,6,2,7,1,6,1,30,1,6,2,28,1,6,1,28,1,30,2,28,3,30,1,28,6,30,1,6,1,29,2,30,2,28,1,30,1,6,1,7,1,6,1,28,2,30,2,13,1,6,3,30,1,6,2,29,1,30,5,6,3,30,1,6,1,29,2,7,2,6,1,7,1,6,1,13,1,6,1,28,1,13,1,7,1,6,1,30,2,7,1,30,1,6,3,30,1,6,2,30,1,6,1,30,1,6,3,13,1,9,1,16,5,11,1,10,1,11,1,17,1,16,4,17,7,16,1,17,6,16,1,17,2,11,1,17,3,16,1,17,3,16,1,17,1,16,1,17,1,16,3,17,3,16,1,17,3,11,1,16,4,11,1,17,1,11,1,16,3,11,1,17,1,16,1,17,3,16,1,17,1,11,1,17,1,16,3,11,1,10,1,11,1,16,1,11,1,16,4,10,1,11,1,12,1,9,1,11,1,12,1,10,1,9,1,16,2,9,2,11,2,9,1,11,1,10,2,9,1,11,1,9,1,16,1,9,1,11,1,9,1,16,1,11,1,16,1,11,2,16,4,11,1,16,4,17,2,11,1,16,1,11,1,10,1,16,3,10,1,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,1,17,1,11,2,9,1,11,1,16,2,11,1,16,2,11,1,16,1,17,1,11,1,10,1,17,2,16,2,17,1,10,1,16,4,17,1,16,5,17,1,16,3,17,4,16,5,11,1,16,1,11,1,17,4,16,1,17,3,16,3,17,5,16,1,17,3,11,2,16,1,17,6,8,1,28,16,17,2,16,1,8,1,13,1,28,1,29,1,28,17,30,1,6,1,30,1,8,1,6,1,13,1,9,1,17,1,28,7,8,1,13,3,28,42,13,2,6,1,28,3,13,1,11,1,13,1,6,1,28,3,6,1,29,1,13,1,6,1,9,1,13,1,9,1,13,1,11,1,8,1,9,3,11,2,9,1,17,2,12,1,17,1,}, {28,44,6,1,28,7,7,1,17,2,12,1,8,1,6,1,30,1,6,1,28,1,6,1,9,2,13,1,6,1,30,1,6,1,8,1,16,1,17,2,16,1,17,2,16,1,17,1,12,1,13,1,6,1,28,5,30,1,8,1,17,1,9,1,6,1,30,1,7,1,13,1,6,1,13,1,17,5,16,1,17,1,9,1,8,2,13,1,11,1,17,1,11,1,16,1,17,1,11,1,9,1,8,1,30,1,6,2,24,1,13,1,28,37,30,1,6,1,10,1,11,1,16,1,9,1,6,1,30,1,28,2,30,1,6,1,13,2,17,6,11,1,17,1,16,1,17,1,11,1,16,2,17,1,9,1,13,1,9,4,10,1,11,1,16,2,9,1,17,1,11,1,17,4,16,1,6,1,28,16,6,1,17,4,24,1,12,1,24,5,25,1,15,1,24,1,15,1,24,1,12,1,15,1,24,1,25,2,27,1,26,1,27,1,29,2,28,1,30,1,28,1,29,2,30,1,28,1,29,1,6,1,30,1,26,1,27,1,8,1,12,1,24,2,12,1,17,29,12,3,10,1,12,2,17,1,12,2,17,3,12,1,17,1,10,1,16,1,11,1,9,3,13,4,6,1,13,1,6,4,30,1,6,1,29,1,30,1,6,2,30,1,6,2,7,1,6,2,13,3,6,1,13,1,6,1,13,2,7,1,6,4,7,1,29,1,6,7,29,1,6,1,7,1,29,1,7,2,13,1,7,1,13,1,7,1,13,1,6,1,13,1,9,1,13,4,8,1,13,4,8,1,13,2,9,1,13,3,9,1,8,1,13,2,9,1,8,2,13,1,24,1,8,1,6,1,24,1,13,1,8,5,13,2,9,1,13,1,9,1,13,1,8,3,13,1,8,1,13,1,8,1,24,1,13,3,8,1,13,1,24,1,8,1,7,1,8,1,13,3,7,1,8,1,13,1,6,1,13,2,8,1,24,1,8,1,13,2,6,1,13,4,29,1,6,3,28,1,6,3,29,1,28,2,6,1,30,2,28,1,29,1,30,2,29,2,28,1,29,1,28,2,30,8,13,2,9,1,13,1,7,1,13,2,8,1,6,1,13,1,6,1,13,5,29,2,6,2,13,7,8,4,13,1,6,1,13,3,6,1,29,1,7,1,6,1,30,1,6,1,30,1,29,3,30,1,6,1,30,1,28,1,30,6,6,1,28,2,30,1,28,1,30,4,28,1,29,1,6,1,28,1,6,1,29,1,30,2,28,1,30,2,28,1,29,1,30,2,29,2,6,1,28,1,30,2,6,1,28,1,30,1,29,1,30,2,28,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,29,2,6,2,29,1,30,1,29,3,6,1,30,2,29,2,30,1,6,2,30,1,29,1,6,2,7,1,6,1,30,1,7,1,8,4,9,2,10,1,17,9,11,1,17,1,12,1,11,1,9,1,10,1,12,1,9,3,11,1,8,1,9,1,8,1,11,1,9,1,11,3,12,1,9,1,12,1,11,1,9,1,12,1,10,1,9,1,10,1,9,2,10,1,12,1,10,1,9,1,10,2,9,2,11,1,17,1,12,1,11,2,12,1,17,1,12,1,17,2,12,1,17,1,11,1,17,1,12,1,9,1,11,3,17,1,10,1,11,1,9,1,17,2,12,1,17,4,11,1,17,1,10,1,17,2,11,2,12,1,17,1,11,1,10,1,17,2,12,1,17,6,12,1,17,1,10,1,11,2,17,6,11,1,17,2,11,1,10,1,9,2,11,1,8,2,24,1,9,1,8,2,24,1,17,1,10,1,24,1,12,1,17,5,11,1,12,1,9,1,11,1,8,1,10,1,8,2,24,1,13,1,24,1,13,3,7,1,8,1,6,1,13,1,8,2,13,1,9,1,10,1,8,1,9,5,17,1,11,2,17,1,9,2,11,3,17,3,11,1,9,1,17,3,11,1,17,11,11,1,12,1,17,12,12,1,17,1,9,1,12,2,11,1,17,5,12,1,17,56,11,1,9,3,13,2,8,1,13,3,9,1,17,12,11,1,10,1,11,2,9,1,11,1,10,2,8,1,9,1,13,3,6,1,13,1,29,2,6,1,7,1,13,2,7,3,13,1,6,1,13,1,7,2,6,1,28,2,30,1,29,1,6,1,30,1,28,1,30,1,28,1,30,3,28,8,30,1,28,4,30,1,13,2,30,2,6,1,30,1,6,1,13,1,6,2,30,3,6,1,30,11,28,1,6,1,30,1,6,2,30,2,6,2,30,5,6,1,30,1,6,2,30,2,28,1,30,3,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,4,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,30,4,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,2,28,1,6,1,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,2,13,1,17,1,28,4,30,1,28,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,6,1,30,2,28,1,30,3,28,1,30,1,28,2,6,1,30,1,6,1,30,2,13,1,28,1,30,2,6,1,30,1,28,1,30,1,28,2,30,3,28,3,30,1,28,1,30,4,28,1,30,1,28,5,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,6,30,1,28,5,30,2,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,4,28,3,30,1,13,1,8,1,7,1,6,1,13,1,6,1,28,1,30,1,28,1,30,2,28,4,6,1,28,7,30,1,6,1,28,3,6,1,30,1,28,4,30,1,28,1,30,3,28,2,30,1,28,1,13,2,29,1,30,1,6,1,30,1,28,7,30,1,28,2,30,1,28,4,30,2,28,2,6,2,30,1,28,8,6,2,28,4,30,2,28,23,30,1,28,1,30,1,28,4,13,1,28,9,30,1,28,15,30,1,28,1,30,3,6,2,28,1,30,2,28,5,30,1,28,1,30,1,28,6,30,1,13,2,30,1,28,8,30,1,28,3,30,1,28,4,30,1,28,7,30,1,28,4,30,1,28,4,30,5,6,1,30,1,6,3,28,1,30,2,28,3,30,1,6,1,30,1,29,2,30,3,29,1,6,1,30,1,6,1,13,1,28,1,29,1,30,1,6,2,28,1,30,2,28,2,30,1,28,4,30,1,28,3,30,3,28,1,30,1,28,2,6,1,30,1,28,6,30,1,28,2,30,1,28,5,30,1,28,1,6,1,7,1,30,2,6,2,28,1,30,1,6,1,30,3,28,2,30,1,7,1,6,1,29,1,30,3,29,1,28,1,30,3,6,1,29,1,30,2,28,2,30,1,28,3,13,1,10,1,8,1,10,1,17,57,16,1,17,13,16,1,17,1,10,1,11,2,13,3,6,1,29,1,30,4,28,1,30,2,28,7,16,1,17,1,16,1,9,1,10,1,9,1,10,1,9,3,13,6,8,1,13,2,9,1,13,1,9,1,6,1,13,5,7,1,8,1,11,1,12,1,11,1,10,1,9,3,8,1,13,1,9,2,10,1,9,2,10,1,13,2,9,1,13,3,8,1,13,1,7,1,6,1,13,4,7,1,13,1,6,1,13,3,8,1,13,2,8,1,13,9,6,1,13,3,6,1,13,1,7,1,13,4,8,1,13,4,8,1,13,4,8,2,13,2,8,1,9,1,13,5,9,1,13,6,8,1,13,3,11,1,13,1,8,1,12,1,8,1,9,1,10,1,8,3,9,1,8,3,9,1,8,2,9,1,10,1,11,1,10,1,8,1,12,1,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,8,1,9,1,11,1,17,1,11,1,9,3,13,1,9,2,13,1,10,1,13,1,9,1,13,1,9,3,11,1,6,1,9,1,8,1,9,4,13,1,8,2,13,2,9,4,8,1,13,2,8,1,13,1,8,1,9,3,8,1,9,3,10,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,8,1,9,2,13,1,9,1,11,1,17,41,9,2,8,1,10,1,9,1,13,3,7,1,13,6,30,1,13,2,6,1,13,1,7,1,13,2,30,1,13,1,6,1,30,1,6,2,13,1,30,1,13,1,6,4,29,1,6,4,13,1,30,1,6,1,13,1,7,1,6,1,13,1,6,4,7,1,6,1,7,1,13,1,6,1,13,4,7,1,13,1,8,1,13,1,29,1,28,1,30,1,28,1,30,3,29,1,28,2,30,1,29,3,27,2,30,1,29,1,30,2,28,1,30,1,6,1,28,1,29,1,30,1,28,2,30,1,28,14,6,1,13,1,30,1,7,1,6,1,30,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,29,1,28,1,6,2,13,1,6,2,7,1,30,1,6,3,30,2,6,1,30,1,28,1,30,1,28,1,29,1,30,2,29,1,30,1,6,1,30,2,28,1,6,3,30,3,7,1,30,1,6,1,13,1,30,1,6,2,13,1,6,1,30,1,6,1,29,3,6,1,30,1,7,1,6,1,13,1,30,2,29,1,30,2,29,1,30,1,13,1,7,1,9,1,17,1,16,2,11,1,10,1,9,3,16,1,8,1,9,1,16,1,11,1,16,1,11,1,8,1,9,2,8,1,9,4,10,1,9,2,16,1,17,2,16,3,11,1,9,2,16,2,11,1,16,1,9,2,16,1,9,5,11,2,9,2,16,1,11,2,12,1,17,4,16,1,17,1,11,1,16,2,17,1,16,2,11,1,17,1,11,1,17,2,16,1,17,1,16,1,11,1,16,7,11,1,16,2,11,4,16,1,10,1,11,1,16,1,11,2,9,1,16,3,10,1,11,1,9,1,11,5,16,1,11,2,16,1,11,2,9,1,11,2,16,3,11,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,11,1,17,1,16,1,11,2,16,1,11,1,17,1,16,2,11,1,16,2,11,3,16,1,11,2,16,3,17,1,16,1,11,2,17,1,16,1,17,1,16,1,17,3,16,2,17,1,16,1,17,5,16,2,17,1,16,1,9,1,11,1,17,1,16,1,17,5,16,3,17,1,16,2,11,1,16,1,17,5,16,1,17,2,16,1,17,7,11,1,17,1,16,1,17,2,16,1,17,6,9,1,13,1,28,15,6,1,17,2,11,1,9,1,30,2,29,1,28,1,30,1,28,1,6,1,30,1,28,12,6,1,30,1,13,1,6,1,13,1,8,1,9,1,17,1,28,8,6,1,9,1,6,2,28,41,8,1,7,2,28,3,11,1,16,1,6,1,28,5,7,1,6,2,30,1,7,1,13,1,11,2,10,1,16,1,11,1,12,1,16,3,11,4,}, {28,30,6,1,28,9,30,1,28,11,6,1,17,3,24,1,29,1,6,1,28,1,6,1,8,1,9,1,11,1,13,1,29,1,7,1,29,1,11,1,16,1,17,1,16,1,17,1,11,1,16,1,17,2,11,1,7,1,30,1,28,4,29,1,28,1,8,1,10,1,13,1,8,1,6,1,13,1,6,2,8,1,12,1,17,4,16,2,9,1,8,1,9,1,8,1,11,1,9,1,16,1,12,1,17,2,9,1,6,1,30,1,29,1,13,1,8,1,6,1,28,37,30,1,6,1,8,1,16,2,11,1,7,1,28,4,6,1,13,1,17,9,16,3,11,1,17,1,16,1,9,2,13,1,8,1,9,1,8,1,12,1,11,1,9,2,17,1,16,1,17,3,16,1,17,2,6,1,28,16,13,1,17,3,12,1,24,4,12,1,24,1,8,1,24,3,12,1,15,1,17,1,24,1,12,1,27,1,25,4,30,5,28,1,30,1,29,2,28,1,29,1,6,1,27,1,25,3,12,2,11,1,17,20,12,1,17,6,12,1,10,1,17,1,12,1,9,1,12,2,10,1,12,1,11,1,12,3,17,1,11,1,12,1,17,2,16,1,13,1,9,1,13,3,6,1,13,1,6,4,29,1,6,1,29,1,6,1,7,1,6,3,7,1,30,2,6,2,7,1,13,2,7,1,13,1,7,1,13,2,6,2,13,1,6,1,7,1,6,1,7,2,6,1,7,1,6,2,30,1,29,1,6,1,29,1,6,1,29,1,6,2,7,1,6,1,7,3,13,2,8,1,13,1,8,2,13,1,8,2,13,5,8,1,9,1,13,2,9,1,8,2,9,1,8,1,9,1,24,1,8,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,7,1,8,1,13,1,9,1,13,1,8,4,13,1,8,2,13,4,8,2,13,1,8,1,13,1,8,3,13,1,8,2,24,1,13,1,8,2,9,1,8,1,13,1,8,1,13,1,24,1,13,2,8,1,13,2,8,1,6,1,13,1,6,1,13,2,7,1,6,1,29,1,6,1,30,1,29,1,30,2,6,1,30,1,6,1,30,1,28,1,6,1,29,1,28,1,29,1,28,1,30,4,29,1,30,1,28,1,29,1,30,1,28,1,30,1,6,1,28,1,6,1,13,1,8,1,13,1,8,1,13,2,6,2,29,1,6,1,7,1,13,2,6,2,7,1,30,1,6,1,30,1,6,1,13,1,6,1,13,4,8,1,13,4,6,1,8,1,13,2,6,1,7,1,6,2,30,1,29,1,30,5,6,1,30,1,28,1,30,2,28,2,30,2,29,1,28,1,30,1,28,1,30,1,6,1,30,2,6,3,29,2,28,1,13,1,28,1,29,1,30,4,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,29,1,30,3,6,1,30,1,6,1,29,1,6,1,29,1,7,1,30,1,6,2,30,1,6,1,29,1,6,1,29,1,6,2,30,1,29,1,6,2,30,2,6,2,29,1,6,1,29,1,6,1,30,1,6,1,30,1,7,1,30,1,6,1,7,1,13,1,6,1,8,1,9,1,24,1,9,1,11,1,17,12,12,1,17,1,9,1,10,1,11,1,10,1,9,2,11,1,9,1,12,1,10,3,9,1,12,2,8,1,10,2,12,1,10,1,11,3,8,1,10,1,11,1,9,1,10,1,9,3,11,2,10,2,9,1,12,1,17,1,12,1,11,3,17,1,11,1,17,3,12,1,11,1,12,2,17,1,11,1,17,4,12,1,17,4,12,1,17,2,11,1,17,1,11,1,17,3,12,1,17,2,8,1,12,1,9,1,17,1,11,2,17,3,12,1,17,1,10,1,11,1,12,1,11,1,17,9,9,1,11,1,8,1,9,1,13,1,10,1,13,1,8,1,10,2,24,2,12,3,9,1,17,6,9,3,10,1,8,1,9,2,8,1,9,1,13,2,24,1,9,2,10,1,12,1,24,1,8,1,9,1,10,1,24,1,10,2,12,1,9,1,10,1,12,1,17,1,11,1,12,3,11,1,12,1,17,2,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,3,11,1,12,1,17,1,12,1,17,12,12,1,17,9,11,1,17,1,11,1,12,1,11,1,17,5,11,1,17,52,16,2,9,1,8,1,6,1,8,1,11,1,13,2,8,1,13,1,9,1,13,2,9,1,12,1,17,3,12,1,17,2,11,1,17,3,12,1,17,2,11,1,12,1,8,1,12,1,9,2,24,2,7,1,13,2,30,1,6,2,7,1,30,1,7,1,6,1,13,1,6,1,7,1,13,1,6,1,13,1,7,1,13,1,7,2,30,2,29,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,4,30,1,28,3,30,2,6,1,8,1,7,1,30,1,6,1,30,1,6,1,13,2,30,1,6,1,30,5,29,1,30,2,29,1,6,1,28,1,6,1,28,1,6,1,7,1,29,1,6,3,29,1,30,1,29,1,6,2,30,1,13,2,30,1,6,2,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,8,30,1,28,11,30,1,6,1,30,4,28,2,30,1,28,5,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,11,1,28,1,30,1,28,1,30,1,28,3,7,1,28,1,30,1,28,1,30,2,28,2,30,3,28,1,30,1,28,2,30,2,28,1,30,4,28,1,6,1,30,1,13,2,6,1,29,1,6,2,30,1,29,1,30,3,28,2,30,2,28,2,30,2,28,1,30,1,28,3,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,4,28,3,30,1,28,2,30,1,28,2,30,2,28,2,30,1,28,2,30,2,28,2,30,2,28,3,30,1,13,2,9,1,13,3,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,2,6,1,28,4,30,1,28,1,30,1,28,4,30,2,28,5,6,3,30,1,6,2,30,1,28,2,30,1,28,4,30,1,28,6,30,2,28,1,6,1,28,1,29,1,30,1,7,1,6,1,28,1,30,2,28,4,30,1,28,7,30,1,28,15,30,1,28,11,6,1,9,1,28,6,30,2,28,14,30,1,28,5,30,2,28,4,30,1,28,15,30,1,7,1,6,1,28,13,30,1,28,3,30,1,28,4,30,1,28,8,30,1,28,2,30,1,28,1,30,4,6,1,28,1,6,4,30,4,28,1,30,4,6,1,29,1,30,3,29,1,30,2,28,1,6,1,29,1,6,1,30,1,28,1,6,1,28,4,30,1,28,2,30,1,28,2,30,4,28,1,30,2,28,1,30,1,28,1,6,1,30,3,28,2,30,1,28,7,30,1,28,3,30,1,28,1,6,1,13,1,28,1,6,1,28,2,30,1,28,1,29,1,28,4,30,2,7,1,30,1,6,2,30,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,29,1,28,1,30,1,28,5,30,1,6,1,13,1,10,1,9,1,17,1,12,2,17,71,9,2,13,1,8,1,7,1,29,1,28,1,30,1,28,1,30,1,28,1,30,3,28,7,9,1,17,1,16,2,10,2,9,2,10,2,9,2,11,1,10,1,9,1,13,1,8,1,9,1,8,1,13,1,8,2,13,2,8,2,13,1,8,1,10,1,11,1,9,1,11,1,9,1,8,5,9,2,11,1,8,1,9,3,13,2,8,1,13,1,8,1,13,2,6,1,8,1,13,1,7,1,13,3,6,1,8,1,13,2,6,1,8,1,13,2,9,1,13,1,9,1,13,8,6,1,13,2,6,1,13,4,6,1,13,3,8,1,13,1,8,1,13,4,8,2,13,1,7,1,13,1,8,1,13,1,8,3,13,3,9,1,13,1,8,1,9,2,13,1,9,1,13,1,9,2,8,3,9,1,13,2,9,5,13,1,9,2,13,1,8,1,9,1,8,1,9,1,8,1,10,1,8,1,11,2,8,1,9,3,10,1,11,1,9,1,10,1,8,1,12,1,8,1,11,2,9,1,11,2,9,3,13,1,9,1,13,1,9,1,8,1,9,2,13,2,9,1,13,3,9,1,8,4,13,2,10,1,8,3,13,1,8,3,13,1,9,1,8,1,9,1,13,2,8,1,9,1,8,1,9,2,13,1,9,2,13,1,8,1,9,2,8,1,9,1,8,1,13,1,9,1,8,1,9,2,11,1,17,39,16,1,9,1,10,1,9,1,11,1,13,3,7,2,13,2,7,2,13,2,6,1,13,1,30,1,7,1,6,1,7,1,6,1,13,2,6,1,13,2,6,1,30,1,6,1,13,1,29,1,7,1,6,3,29,1,13,1,6,2,7,1,6,2,13,1,6,4,13,1,6,2,13,3,6,1,13,2,6,2,7,1,13,3,9,1,13,1,30,1,28,1,30,2,28,1,29,1,28,1,29,1,30,1,28,1,30,1,29,1,30,1,29,1,30,2,6,1,29,1,27,1,30,1,29,1,30,3,29,1,30,1,28,17,30,1,13,2,6,3,30,4,28,3,30,4,29,1,30,1,28,2,29,1,6,1,30,1,7,1,30,2,7,1,13,2,6,1,7,1,6,1,29,1,7,1,30,1,28,1,6,1,29,1,30,1,29,1,30,2,6,2,30,2,29,1,6,1,29,2,13,1,6,1,7,1,6,2,7,1,6,2,7,2,13,1,29,1,6,2,30,2,6,1,30,1,6,1,7,1,6,1,13,1,30,1,6,1,30,1,29,2,30,2,13,1,9,1,17,1,16,2,12,1,11,1,16,1,10,1,9,1,11,1,8,1,10,1,11,1,9,3,13,2,8,3,9,1,8,1,9,4,16,2,17,1,11,1,10,2,11,2,17,1,9,5,13,2,6,1,13,2,6,1,13,4,8,1,13,1,6,1,13,2,9,1,8,2,13,1,9,1,8,1,11,1,9,1,11,1,16,1,12,1,9,1,11,1,10,1,9,2,10,1,16,1,11,1,9,1,11,1,16,4,9,1,16,4,11,2,16,1,17,1,16,2,17,1,11,1,9,1,11,1,10,1,16,1,10,1,11,1,9,1,16,1,9,2,10,1,11,3,10,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,3,11,1,16,1,17,1,16,1,11,1,16,1,11,1,16,3,11,1,16,6,17,1,16,1,11,1,16,1,17,1,11,2,16,2,17,2,16,1,11,1,17,1,16,1,12,1,17,2,16,3,17,2,16,8,11,1,16,1,17,1,16,1,17,1,16,1,11,1,16,1,17,2,16,2,17,4,16,1,17,1,11,1,16,3,17,3,16,1,17,3,11,1,16,1,17,2,16,2,17,4,16,1,17,5,11,1,16,1,17,5,11,2,13,1,28,15,13,1,17,2,11,1,13,2,30,1,29,1,28,1,6,1,28,15,6,1,30,1,6,1,13,3,10,1,9,1,28,7,6,1,13,1,7,2,29,1,28,40,30,1,7,1,13,1,29,1,30,1,29,1,28,1,17,1,9,1,7,2,28,4,6,2,13,1,7,1,8,1,16,1,11,1,16,1,17,1,16,2,17,4,16,1,17,1,11,1,17,1,}, {28,30,30,1,28,9,30,1,28,11,6,1,24,1,17,2,8,1,6,2,29,1,28,1,8,1,11,1,10,1,13,2,30,1,13,2,17,5,16,3,10,1,7,1,28,7,8,1,9,2,13,2,29,1,13,2,9,1,16,1,17,4,11,1,16,2,8,2,9,4,16,1,17,1,16,1,8,1,6,1,29,1,30,2,9,1,8,1,30,1,28,37,13,1,9,1,16,2,9,1,13,1,30,2,28,2,29,1,8,2,17,6,16,3,11,1,17,1,16,1,9,1,16,1,13,1,24,1,13,2,12,1,8,1,9,3,17,1,16,1,17,2,16,1,17,4,13,1,28,17,17,4,12,1,24,1,15,1,24,3,8,2,24,5,15,2,25,1,24,1,27,1,25,1,24,1,27,1,29,1,28,1,30,5,29,1,30,1,6,1,30,1,27,1,26,2,8,2,17,18,12,1,17,10,12,1,17,1,9,1,12,1,10,1,12,1,24,1,12,1,10,2,12,2,11,1,17,2,12,1,17,1,11,1,9,1,8,2,13,5,6,2,7,1,30,1,6,1,30,1,6,2,7,1,6,1,7,2,6,1,7,1,6,1,7,1,13,2,7,2,13,2,7,1,13,3,7,2,6,4,7,1,6,2,30,1,6,2,30,1,6,3,7,1,6,2,7,1,6,1,7,2,6,1,13,2,6,1,13,1,9,1,24,1,8,2,13,2,7,1,13,4,9,1,7,1,9,3,8,1,9,1,8,2,9,1,24,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,8,1,13,2,7,1,8,1,13,2,9,1,13,1,8,1,13,3,8,1,13,2,8,3,13,2,8,1,7,1,8,2,13,2,24,1,8,1,24,1,13,1,24,1,8,1,9,1,24,2,8,1,9,1,13,1,8,1,7,1,13,1,8,2,13,1,7,2,13,1,6,2,29,1,6,3,13,1,6,3,30,1,7,1,6,2,29,1,30,2,28,1,6,1,30,1,29,1,30,1,28,1,6,1,30,1,28,1,30,3,28,1,30,1,6,1,7,1,13,2,7,1,13,1,7,1,6,3,7,1,13,1,7,1,6,1,7,1,6,2,7,1,6,2,7,3,13,3,8,1,6,1,13,1,6,1,13,4,7,1,29,1,7,2,6,3,29,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,29,1,6,1,29,1,28,1,30,3,29,1,30,2,6,1,28,1,30,4,6,2,29,1,30,1,29,1,6,1,30,3,6,1,30,2,6,1,29,3,6,2,29,1,30,2,6,2,30,1,29,1,30,1,29,1,30,1,29,1,6,1,30,1,13,1,29,1,6,7,13,1,30,1,6,3,30,1,6,1,30,1,6,2,30,1,6,3,30,1,6,2,30,1,7,4,9,1,8,1,10,1,11,2,17,10,12,1,17,3,10,1,12,2,10,1,9,1,11,1,10,2,9,2,10,1,12,1,9,1,11,1,12,2,8,1,11,1,10,2,9,1,11,1,17,1,10,1,12,1,9,2,10,1,9,2,10,1,9,1,10,2,12,1,10,1,12,1,10,1,12,1,11,3,9,1,11,3,17,2,9,1,12,2,11,1,17,1,11,1,17,7,11,1,17,1,12,1,11,1,17,1,12,3,10,1,17,2,10,1,9,1,10,1,12,1,11,3,9,1,17,1,11,1,12,1,9,1,17,1,11,1,12,1,10,1,9,1,10,2,17,1,12,1,17,5,11,2,9,1,24,2,8,1,9,1,24,1,8,1,24,1,13,1,24,1,10,1,12,1,10,1,9,1,10,2,9,1,10,1,17,4,10,2,8,1,10,1,9,2,8,1,9,1,8,1,10,1,13,1,24,1,8,1,24,1,9,2,17,3,10,1,11,1,10,2,11,1,10,1,12,1,9,1,12,2,11,1,17,1,11,1,12,1,11,1,10,2,17,5,12,1,17,3,12,1,17,1,12,1,17,2,12,1,17,3,11,1,17,17,11,1,17,3,9,1,17,56,12,1,9,1,8,1,29,1,30,1,6,1,9,1,11,1,13,4,9,1,13,1,6,1,9,1,17,8,12,1,11,1,17,4,11,2,9,2,8,3,13,2,7,1,13,2,30,1,6,3,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,30,1,29,1,6,1,30,2,28,3,30,1,28,2,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,2,30,1,13,1,8,1,6,1,13,1,6,1,30,2,13,1,9,1,13,1,30,1,6,1,30,1,6,1,30,4,6,1,30,1,6,1,30,1,6,1,28,1,29,1,30,3,28,1,30,1,6,1,28,1,6,1,28,1,13,1,6,1,13,1,28,1,30,1,13,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,3,28,3,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,29,1,30,2,28,1,29,1,6,1,30,2,28,1,30,1,28,3,30,1,28,7,30,2,28,2,30,2,28,2,30,3,28,2,30,1,29,1,30,4,13,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,2,30,1,28,1,30,2,6,1,30,1,28,1,29,1,30,2,29,1,30,1,28,4,30,1,28,1,30,1,6,1,13,1,30,4,29,1,28,1,30,3,28,7,30,1,28,2,30,1,28,2,6,1,28,1,30,1,7,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,8,30,1,28,1,30,1,28,3,30,1,28,10,30,1,28,2,30,1,28,2,30,2,13,5,6,2,30,1,28,4,30,1,28,11,6,1,29,1,30,1,28,5,6,1,28,1,30,1,28,3,6,1,30,1,28,2,30,1,28,1,30,1,13,1,6,1,30,2,29,1,28,2,30,1,28,6,30,2,28,5,30,1,6,1,30,2,7,1,6,1,28,1,6,1,28,6,30,1,28,18,30,1,6,1,30,1,28,6,30,1,28,6,30,1,28,1,6,1,8,1,28,1,30,1,28,1,30,1,28,18,30,1,28,1,30,1,28,4,30,3,28,2,30,1,28,16,30,1,6,1,28,8,30,2,28,2,30,3,28,1,30,1,28,5,30,1,28,1,30,3,28,10,30,1,29,1,30,3,28,1,30,2,29,1,30,2,28,1,30,6,28,1,30,1,28,2,30,3,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,4,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,4,28,2,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,2,30,1,28,1,30,1,13,1,30,2,28,4,6,1,28,4,30,1,6,1,28,1,6,4,29,1,6,1,30,3,6,2,30,1,29,1,28,6,29,1,30,1,29,1,6,1,9,1,11,1,16,1,12,1,17,71,13,1,8,1,13,2,7,1,30,2,28,2,30,1,28,1,30,1,28,9,13,1,17,1,16,3,11,1,9,1,11,1,9,1,10,1,9,1,10,1,9,4,8,1,9,1,8,1,9,1,8,2,9,3,8,1,9,2,10,1,9,1,11,1,9,1,13,1,8,1,13,3,8,1,9,1,13,1,9,3,13,4,8,1,13,3,7,1,13,1,7,1,13,1,7,1,6,3,13,7,8,1,13,1,9,1,13,1,9,1,8,1,13,6,30,1,13,7,6,1,13,2,9,1,8,1,13,8,8,2,13,4,8,1,13,2,7,1,8,1,13,1,9,1,13,2,7,1,8,1,13,1,9,1,13,1,8,1,13,3,8,1,9,2,8,1,13,2,10,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,8,3,10,1,8,1,9,3,8,1,9,2,10,1,9,4,11,1,9,3,11,1,9,4,8,1,9,2,8,3,13,1,9,1,12,1,9,3,13,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,9,1,8,1,13,2,9,1,8,2,13,2,8,1,13,1,8,1,9,1,8,2,9,1,8,4,9,3,8,2,9,1,8,7,9,1,8,2,17,39,11,1,8,1,9,1,12,1,9,1,13,1,8,2,13,1,7,1,13,4,7,1,6,2,13,1,29,1,6,1,13,2,6,1,13,1,6,1,30,1,6,2,29,1,6,1,7,1,6,1,30,1,6,3,13,1,6,3,30,1,6,4,13,2,7,1,6,3,7,1,6,1,7,1,13,1,8,1,6,1,7,2,13,2,8,2,13,1,9,1,13,1,6,1,30,1,28,1,29,1,30,2,28,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,30,1,29,3,30,1,28,1,29,1,30,4,28,1,30,4,28,13,30,1,13,1,6,2,29,1,30,3,28,3,30,1,28,1,30,1,28,3,29,1,30,2,29,1,30,2,6,4,13,1,8,1,6,1,13,1,6,1,30,4,28,1,30,1,6,1,30,2,28,1,29,1,7,1,6,1,13,1,7,1,29,1,6,1,13,2,29,1,6,4,7,1,6,2,7,3,6,2,28,1,6,2,29,1,6,1,7,1,6,1,30,1,29,3,6,1,7,1,30,1,7,1,11,1,17,1,12,1,17,1,11,2,9,3,8,1,9,1,8,1,11,2,9,2,13,1,8,1,9,1,13,2,8,2,9,2,13,1,9,1,13,1,11,1,16,2,17,1,16,1,17,1,16,1,17,2,9,1,17,1,9,1,8,1,13,1,8,1,9,1,8,1,9,1,13,1,9,2,8,1,13,1,9,1,13,1,8,1,13,1,8,1,13,8,8,1,13,1,8,1,13,2,8,1,7,1,13,2,7,1,8,1,13,4,8,1,13,1,9,3,13,1,6,1,13,3,8,1,13,1,9,1,13,2,11,1,9,1,16,1,17,2,11,2,9,1,11,2,17,1,16,2,11,2,9,1,16,1,17,1,11,1,17,2,16,1,11,2,16,1,11,1,16,2,17,2,16,2,17,1,16,1,17,1,11,1,16,1,11,1,16,1,17,1,16,3,11,1,16,2,17,1,16,2,17,2,16,1,11,1,17,2,16,1,17,2,11,1,12,1,11,1,17,1,16,1,17,1,16,3,11,1,17,1,16,2,17,1,16,1,17,1,16,1,11,1,16,2,10,1,16,2,11,4,17,7,11,1,16,3,17,2,16,1,17,2,11,1,17,1,16,1,11,1,16,2,17,1,11,2,16,1,17,1,16,1,17,4,16,1,17,1,16,2,17,7,9,1,13,1,28,15,8,1,17,2,11,1,10,1,6,1,29,2,30,1,28,2,30,1,28,9,30,2,28,3,29,2,6,1,13,1,9,1,11,1,8,1,28,7,6,3,30,1,28,40,30,2,6,1,8,1,30,1,28,3,11,1,16,1,30,1,28,4,30,1,28,1,6,1,29,1,7,1,16,2,11,1,16,1,17,1,11,1,17,1,16,1,17,1,11,1,17,1,11,1,17,2,16,1,}, {28,35,6,1,28,10,30,1,28,3,30,1,28,1,29,1,9,1,17,2,8,1,7,1,30,1,29,1,28,1,8,1,9,1,10,1,7,1,28,2,7,1,8,1,11,1,17,6,16,1,11,1,24,1,28,6,30,1,13,1,17,1,9,1,13,1,7,1,6,1,13,1,29,1,8,1,17,4,16,2,10,1,13,3,6,1,9,1,11,1,12,1,10,1,17,1,11,1,13,2,28,2,6,1,13,1,8,1,29,1,28,37,29,1,7,1,9,1,16,2,13,1,28,1,30,1,28,2,29,1,28,1,8,1,17,9,16,1,17,1,11,1,8,1,11,1,8,1,13,1,9,1,24,1,13,1,9,1,10,1,12,1,10,1,12,1,16,1,12,1,17,1,16,2,17,3,13,1,28,4,30,1,29,1,28,10,30,1,17,3,12,1,24,3,12,1,24,3,8,1,24,1,8,1,24,3,12,1,24,3,25,1,8,1,25,2,27,1,30,5,28,1,30,1,29,1,6,1,29,1,6,1,27,2,26,1,8,1,15,1,17,1,12,1,11,1,12,1,17,11,12,1,17,2,12,1,17,10,12,1,10,1,9,1,10,1,9,2,10,1,9,2,12,1,9,1,11,2,17,1,10,1,12,1,10,1,9,1,8,2,13,3,6,4,30,1,6,1,30,1,29,1,7,1,29,1,30,1,7,1,6,1,7,1,6,3,13,4,8,1,13,1,6,3,13,1,7,1,6,13,30,1,6,1,30,1,6,2,29,1,6,1,7,1,6,1,7,2,13,1,7,1,24,1,13,1,8,2,13,1,8,2,13,3,8,1,13,1,8,1,13,1,9,1,13,1,8,2,11,1,13,1,8,1,10,1,13,1,9,2,13,1,9,2,13,2,8,3,13,3,8,1,13,1,8,2,13,1,24,1,8,1,9,1,8,1,9,1,13,2,8,1,7,1,13,4,8,2,13,1,9,2,8,1,24,1,8,2,13,1,8,3,24,1,13,1,8,3,13,2,6,1,13,1,29,1,13,4,7,1,6,2,7,2,29,2,6,1,28,1,30,1,13,1,30,1,29,1,7,1,29,1,7,1,6,1,29,1,30,3,28,1,30,2,6,1,28,2,30,4,6,2,13,4,30,1,7,2,13,2,6,1,30,1,6,2,7,1,30,1,6,1,30,1,7,1,6,1,7,1,6,1,8,1,13,2,6,1,13,2,6,2,30,1,13,2,29,1,30,1,13,1,30,1,29,1,6,1,13,1,29,1,6,1,30,1,6,2,30,3,6,1,30,1,29,1,6,2,30,1,6,1,30,4,6,1,30,5,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,3,29,1,30,1,29,1,30,1,6,1,30,1,29,1,30,1,6,1,30,4,6,1,30,1,6,1,30,1,29,1,6,3,29,1,6,2,30,1,6,1,29,1,6,1,13,1,6,2,7,1,29,1,30,2,6,2,7,2,6,2,7,1,30,1,6,3,13,1,7,1,24,1,8,2,24,1,9,1,11,1,17,16,12,1,9,1,12,1,10,1,8,1,11,1,12,2,17,3,11,1,17,1,9,1,12,1,9,1,11,2,10,1,11,1,9,1,17,1,9,1,10,1,11,2,9,1,10,1,9,1,8,1,10,1,9,1,10,1,11,1,12,1,11,1,10,1,9,1,10,1,9,2,17,1,10,2,9,1,17,2,11,2,12,1,8,1,12,2,11,1,17,1,9,2,17,1,9,1,11,1,17,1,11,1,17,1,9,1,17,2,11,1,17,3,12,1,9,2,8,1,11,1,17,1,9,1,10,1,12,1,11,2,12,2,11,2,17,1,10,1,17,1,11,1,9,2,17,5,12,1,10,1,9,2,24,1,8,2,24,1,8,1,24,2,13,1,8,1,9,1,24,1,9,1,24,1,10,2,12,3,17,4,9,1,11,1,10,1,9,1,11,1,9,1,24,1,10,1,9,2,24,1,11,1,12,3,10,1,9,1,8,1,9,4,8,1,10,1,9,1,17,1,9,1,10,1,9,1,17,1,9,1,12,1,9,1,11,1,17,1,11,1,12,1,17,3,12,1,17,2,11,1,17,4,11,1,17,1,11,1,17,1,11,1,17,2,12,2,17,74,9,1,12,1,9,1,29,2,13,3,11,1,6,1,13,1,6,1,13,2,6,1,13,1,11,1,17,3,11,1,17,7,11,1,12,1,11,2,12,2,9,2,8,1,9,1,13,1,7,1,13,1,7,7,13,1,7,1,13,2,8,1,13,2,8,1,7,2,13,1,30,1,6,1,28,1,13,1,6,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,6,1,13,1,6,1,28,1,13,2,6,1,13,1,11,1,30,2,6,1,30,2,28,1,30,1,28,1,30,5,6,1,29,1,30,3,6,1,30,1,6,2,28,1,30,2,6,1,30,1,6,1,29,1,30,1,6,1,28,1,30,3,28,1,30,2,28,7,30,2,28,1,29,1,28,2,30,1,28,7,30,1,28,1,29,1,28,1,6,1,13,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,1,6,1,30,1,6,1,28,2,30,1,28,1,30,3,28,1,30,1,6,1,30,1,6,1,30,4,13,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,28,1,30,3,28,1,6,1,28,1,30,2,28,1,30,3,28,1,30,1,28,3,30,1,28,1,6,1,13,1,6,1,30,3,28,2,30,3,28,5,30,2,28,2,30,1,28,3,30,1,28,3,30,1,6,1,29,1,30,1,28,2,30,5,28,1,30,1,28,1,30,3,28,2,30,1,28,6,30,1,28,1,30,3,28,1,30,2,28,6,30,1,28,2,30,1,28,2,30,3,28,2,30,1,9,1,13,4,6,1,30,1,28,2,30,1,28,4,30,1,28,15,30,1,28,2,30,1,28,1,6,1,28,4,30,1,28,1,30,1,28,1,30,1,6,2,13,1,28,1,6,1,28,1,29,1,28,16,30,2,6,1,29,1,6,1,28,9,30,1,28,6,30,2,28,5,30,1,28,1,30,1,28,1,29,1,6,1,28,11,30,1,28,1,6,1,28,2,30,1,6,1,28,26,30,2,28,1,30,3,28,2,30,1,28,4,30,1,28,11,30,2,28,6,30,1,28,13,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,5,30,1,6,1,30,1,6,2,30,1,29,1,28,3,30,1,28,1,29,1,28,1,6,1,28,4,30,2,6,1,30,3,6,2,30,2,29,1,6,2,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,5,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,13,2,28,5,30,1,28,2,30,3,28,2,30,2,28,1,29,1,30,5,28,1,29,1,6,1,28,1,29,1,28,9,30,1,13,1,9,1,11,1,16,1,17,1,14,1,12,1,17,1,12,1,16,1,10,1,12,1,11,1,17,1,16,1,17,1,16,3,17,29,11,1,16,1,17,24,11,1,8,2,7,1,13,1,29,3,30,1,28,2,30,3,28,8,6,1,17,1,16,1,17,1,16,1,17,1,9,1,17,1,9,2,10,1,9,9,11,1,9,3,8,1,9,2,12,1,9,2,11,1,13,5,8,1,13,1,8,1,9,1,13,2,9,1,8,1,13,4,9,1,13,5,6,1,13,2,6,1,13,1,6,1,7,1,6,1,8,1,13,2,8,1,13,1,9,4,8,1,13,1,8,1,13,2,6,1,13,1,8,1,13,4,8,1,13,7,9,2,13,4,8,1,9,1,6,1,7,2,13,1,8,2,13,3,9,1,13,1,9,1,13,2,8,1,13,1,8,1,13,5,8,1,13,2,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,3,8,1,13,1,9,3,8,1,9,5,11,2,8,1,9,1,12,1,10,1,9,3,11,2,9,2,11,1,10,1,8,1,9,1,10,1,13,1,9,1,13,1,8,1,9,2,12,1,13,1,9,4,8,1,9,2,10,1,9,2,8,1,13,3,8,1,13,4,8,2,13,2,8,2,9,1,8,1,9,2,8,1,9,1,8,1,9,3,8,1,9,4,13,1,8,3,9,1,8,1,17,38,10,1,9,1,10,1,17,1,13,3,6,1,13,3,7,3,6,1,13,2,6,2,13,1,7,1,13,1,6,1,13,3,6,3,13,1,6,2,30,1,7,1,6,2,29,1,13,1,6,2,29,1,7,1,6,1,30,1,6,1,13,1,30,1,13,1,6,2,7,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,6,9,1,6,1,30,2,28,1,30,2,28,1,30,2,29,1,30,1,28,3,30,1,29,5,30,1,29,1,30,2,29,1,30,1,28,19,6,1,13,1,7,1,30,1,6,2,30,1,28,7,30,1,28,2,30,1,6,2,30,1,29,1,30,1,28,1,29,1,6,3,13,1,28,1,6,1,29,1,6,1,30,1,6,1,29,1,30,2,29,1,28,1,6,3,7,2,6,1,7,1,13,1,6,2,13,1,30,1,7,1,6,4,29,2,7,1,13,1,6,5,30,1,7,1,6,1,28,1,6,1,30,2,6,1,29,1,6,1,13,1,11,1,17,1,11,1,17,2,16,1,11,2,9,1,8,2,9,3,8,4,13,5,8,1,13,3,9,1,13,1,17,9,16,1,17,1,8,1,11,1,8,2,13,2,8,5,9,2,13,1,9,1,8,2,13,1,7,1,13,2,9,1,13,1,7,1,13,1,7,1,13,2,8,1,13,4,6,1,13,1,6,1,8,1,13,1,6,1,13,1,6,1,13,1,7,1,6,2,7,1,6,1,30,1,6,1,29,1,30,1,13,1,28,1,6,2,30,1,6,1,29,1,6,1,13,1,6,1,7,1,6,1,30,1,6,3,13,3,6,2,13,1,7,1,13,1,7,1,13,3,8,1,9,4,10,1,11,4,16,1,17,3,16,3,17,1,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,1,16,3,17,6,16,1,17,2,16,1,17,1,16,1,11,1,9,1,16,1,11,1,10,1,11,1,16,2,10,1,11,1,10,1,16,1,11,1,9,1,17,1,11,1,16,1,17,1,16,1,17,6,16,1,17,14,16,1,17,10,16,1,17,9,9,1,13,1,28,15,8,1,17,2,9,1,10,1,7,1,29,1,6,1,28,1,30,1,28,16,6,1,13,3,8,1,17,1,9,1,28,7,29,1,6,1,13,1,30,1,28,41,29,1,6,1,13,1,28,1,30,1,28,2,17,2,7,1,30,2,28,2,30,1,29,1,30,2,8,1,11,1,17,1,16,1,17,2,16,1,17,2,16,4,17,1,9,1,24,1,}, {28,52,30,1,12,2,9,1,13,2,6,1,29,1,7,2,24,1,17,1,9,1,13,2,6,1,13,1,12,1,17,2,16,1,17,3,16,1,9,1,8,1,28,7,13,1,16,1,9,1,6,1,13,1,7,1,8,2,13,1,11,1,17,3,16,2,11,1,8,1,7,1,8,1,13,2,17,1,9,1,16,1,17,1,9,1,8,1,13,1,6,1,30,1,13,1,8,2,30,1,28,36,30,1,7,1,9,1,16,1,9,2,13,1,28,3,30,1,6,1,28,1,9,1,17,4,16,3,17,1,16,1,11,1,16,1,10,1,9,1,8,1,13,1,6,1,8,1,24,1,13,1,9,1,12,1,24,1,17,2,9,1,16,1,17,3,16,2,17,1,10,1,28,17,17,5,12,2,24,4,26,1,24,1,25,1,8,1,25,1,24,2,15,1,24,2,25,1,24,1,27,1,8,1,26,1,27,1,30,4,28,1,30,1,29,1,30,1,6,1,29,2,25,2,8,1,25,1,10,1,9,2,17,24,10,1,17,2,10,3,9,1,24,1,9,1,10,1,11,1,17,1,10,1,17,1,12,2,11,1,10,1,9,1,8,1,9,1,8,1,13,2,7,1,6,4,30,1,29,1,6,3,7,1,6,1,13,1,6,2,7,1,13,2,9,1,13,5,7,2,6,1,13,2,6,2,30,1,13,1,7,1,13,1,6,3,28,1,6,1,30,1,6,1,30,1,7,1,6,1,30,1,6,1,30,1,13,1,6,1,13,1,7,1,13,1,8,2,9,1,13,1,8,2,13,1,8,1,13,1,8,1,13,3,7,1,8,1,13,2,8,2,9,1,13,1,10,1,8,1,9,1,8,1,13,1,9,1,8,1,13,2,24,1,8,1,13,1,8,1,6,1,10,1,8,2,13,1,8,2,9,1,13,3,9,2,8,4,12,1,7,1,8,1,13,1,8,4,9,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,9,1,8,3,13,1,8,1,24,1,13,1,24,1,13,2,7,1,29,1,13,4,28,1,6,2,7,1,6,4,30,1,7,1,6,2,7,1,6,2,29,1,6,1,29,1,6,1,29,3,30,1,29,1,28,1,30,1,28,1,29,1,6,1,28,1,7,1,6,3,7,1,6,1,30,1,13,1,7,1,29,1,7,1,30,2,6,2,13,1,7,1,6,1,13,1,6,2,13,1,6,1,7,1,6,1,13,1,6,1,7,2,13,1,7,1,13,1,30,1,6,1,13,1,6,1,7,1,6,1,30,1,6,1,29,1,30,2,29,1,6,1,29,2,6,1,28,1,6,1,30,1,6,3,30,1,28,1,29,1,28,1,30,2,6,2,29,1,6,1,28,1,29,1,30,2,13,1,6,1,29,1,30,3,29,2,6,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,29,5,6,1,29,1,7,1,6,3,28,1,29,2,6,1,29,1,13,1,7,2,6,1,30,1,6,2,30,1,6,1,7,1,6,1,29,1,30,1,13,1,6,1,7,2,6,2,7,1,13,2,9,1,13,1,10,2,12,2,17,15,10,1,12,1,9,2,11,1,12,1,9,1,17,1,10,1,12,2,11,3,9,1,11,1,10,1,11,2,17,1,9,1,11,1,10,2,11,1,9,1,10,1,11,2,9,3,10,1,11,2,17,1,9,1,17,1,9,1,10,1,9,2,10,1,12,1,9,1,17,2,12,1,17,1,10,1,17,1,10,2,9,2,11,1,10,1,9,1,10,1,17,1,12,2,17,1,12,2,17,2,12,1,17,2,12,1,17,1,11,2,12,1,9,1,11,1,9,1,8,1,9,2,12,1,11,1,9,1,12,1,9,2,8,1,9,1,12,1,10,1,9,1,12,1,17,3,11,1,12,1,10,1,8,1,24,1,8,2,24,1,8,1,13,1,24,1,8,1,24,1,7,1,24,1,8,2,12,1,9,2,11,2,12,1,10,1,17,3,12,1,17,1,10,1,12,2,9,1,12,1,9,1,10,1,12,1,9,3,11,1,8,1,9,5,8,1,10,2,8,1,10,1,9,1,12,1,9,1,11,2,17,1,12,3,10,1,17,2,11,1,17,1,12,1,17,7,12,1,17,2,12,1,17,6,10,1,17,3,16,1,17,1,12,1,17,14,12,1,17,52,6,1,13,1,9,1,6,1,29,1,7,1,13,1,9,1,13,1,6,1,13,4,6,1,13,1,17,13,11,2,9,1,11,1,8,1,9,1,11,1,8,2,13,2,8,1,13,1,7,1,13,1,7,1,6,1,7,4,13,3,7,1,13,3,7,1,13,1,7,1,13,1,30,1,13,1,7,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,1,30,2,13,1,30,1,6,1,13,1,6,1,30,1,6,1,8,1,6,2,30,5,29,1,28,1,30,1,6,1,30,1,6,1,30,1,13,1,30,1,6,1,28,1,6,2,30,2,6,1,29,1,6,1,28,1,6,3,30,2,28,5,30,1,28,4,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,3,30,1,28,4,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,6,1,28,2,30,3,28,2,30,3,28,1,6,1,30,1,28,2,6,1,28,1,6,1,30,2,28,3,6,1,7,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,5,28,1,30,4,6,2,13,1,7,1,6,1,13,1,9,1,6,4,30,1,28,14,30,1,28,1,6,1,30,3,28,1,30,4,6,1,28,1,6,1,30,1,13,1,6,1,30,2,28,4,30,1,28,1,30,3,28,1,30,1,28,7,30,1,28,2,30,1,28,8,30,2,28,4,30,2,29,1,13,1,9,2,13,1,6,1,13,1,6,1,28,1,30,2,28,7,30,2,28,1,30,1,28,6,6,1,28,7,30,1,28,3,30,1,28,7,30,2,6,1,7,1,28,1,30,3,28,8,30,2,28,7,30,1,29,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,6,1,28,5,30,1,28,4,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,8,30,1,28,5,30,2,28,14,30,1,28,12,30,5,28,14,30,1,28,2,30,1,6,1,30,1,28,20,30,1,28,3,30,2,28,6,30,2,28,4,6,1,30,7,6,1,30,2,28,4,30,2,28,1,30,1,28,1,30,2,28,1,7,1,6,3,28,1,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,9,6,2,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,4,28,1,30,1,28,2,30,1,28,1,7,2,30,1,28,3,6,1,28,1,6,1,28,3,30,2,28,1,30,1,28,2,30,2,6,1,13,1,30,1,28,5,29,1,28,3,30,1,28,5,7,1,8,1,29,2,7,2,13,1,8,1,13,1,8,1,9,1,24,1,13,1,9,1,13,3,8,1,13,1,8,1,9,1,11,1,9,2,17,22,16,1,9,1,16,1,17,1,9,1,17,24,12,1,9,1,13,2,29,1,28,1,30,1,28,1,30,2,28,1,29,1,30,3,28,7,6,1,16,2,17,1,16,1,17,4,11,2,9,1,11,2,9,1,11,2,9,2,11,1,13,1,9,1,11,1,9,2,11,1,9,1,10,1,11,1,9,1,8,1,29,1,13,2,9,1,8,3,13,2,9,1,13,1,8,1,13,1,6,1,8,1,13,7,7,2,6,1,13,11,9,1,13,1,8,3,9,2,6,1,8,1,13,1,6,1,8,1,13,1,6,1,13,1,9,1,13,6,8,1,13,2,9,1,13,1,8,2,13,1,8,1,13,4,8,1,13,1,8,1,13,11,7,1,13,4,6,1,13,1,6,1,13,1,6,1,9,2,8,1,9,1,8,2,13,2,8,2,13,4,8,1,9,5,11,1,9,1,11,3,9,1,12,1,11,1,9,2,11,1,16,1,11,1,12,1,8,1,11,2,12,1,8,1,9,1,17,1,13,1,11,1,9,1,11,1,12,1,8,1,9,1,13,1,10,2,8,2,13,2,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,3,8,2,13,3,8,1,13,2,8,3,9,1,13,1,8,1,13,1,9,1,8,1,9,2,8,2,9,1,8,3,9,1,17,38,9,1,17,1,11,1,13,1,8,1,13,3,7,1,13,2,7,2,13,1,6,1,13,2,8,1,7,1,13,1,6,1,7,1,6,1,30,1,6,2,13,1,6,1,13,1,6,6,13,1,30,1,29,1,7,1,6,1,30,1,6,2,7,1,6,1,30,1,6,3,30,1,6,2,13,10,9,1,8,1,11,1,7,1,28,1,29,1,30,1,29,2,28,2,29,1,28,4,30,1,28,2,29,2,28,1,30,1,28,1,29,1,30,1,29,1,28,7,30,1,28,1,30,1,28,12,30,1,13,2,29,1,30,2,28,6,30,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,7,1,30,2,29,1,6,2,13,1,11,1,6,1,30,3,6,1,29,1,28,1,6,1,29,1,30,1,29,1,30,1,6,1,7,1,6,1,13,2,6,1,13,3,6,1,7,1,6,1,13,3,6,1,13,2,6,3,7,1,6,1,28,1,7,1,29,1,30,2,6,1,30,1,6,4,13,1,11,1,17,1,16,1,11,1,17,1,11,3,9,3,8,1,11,1,8,2,13,2,8,2,13,5,8,3,13,1,8,2,11,1,17,8,11,1,17,1,12,1,9,1,8,1,9,1,8,2,13,1,8,1,13,1,9,2,8,1,9,2,8,2,9,1,8,1,9,2,13,1,8,1,13,2,8,1,13,1,8,1,6,1,8,2,13,3,6,1,13,1,6,1,13,2,7,1,13,2,6,1,7,1,6,1,29,1,30,1,6,4,30,1,29,1,30,2,29,1,30,2,28,1,30,4,28,1,30,3,6,1,30,2,28,1,6,1,30,1,29,1,13,1,30,1,6,2,29,1,6,5,13,1,30,1,13,2,6,1,8,1,13,6,8,1,9,2,11,2,16,3,17,1,11,1,16,1,11,1,16,2,9,2,12,1,17,1,16,1,11,1,17,1,16,1,17,3,11,1,17,2,16,1,11,1,16,1,17,1,11,1,17,1,16,1,17,1,16,1,17,2,16,2,17,7,16,1,17,3,16,1,17,13,16,3,17,6,16,2,17,2,16,1,17,8,11,1,13,1,28,15,10,1,17,2,9,1,12,1,13,1,8,1,30,2,29,1,28,16,30,1,13,1,8,1,13,2,17,1,9,1,28,7,7,2,8,1,30,3,28,39,6,1,13,2,28,3,6,1,17,2,13,1,6,1,28,4,7,1,13,1,6,1,8,1,11,1,17,1,16,3,17,1,16,2,17,1,16,1,9,2,13,1,8,1,13,1,}, {29,1,28,46,30,2,28,3,13,1,10,1,9,1,11,1,8,1,6,1,30,1,6,1,30,1,29,1,11,1,12,1,8,1,7,1,6,1,13,2,11,1,9,1,17,2,16,2,17,1,16,1,11,1,7,1,30,1,28,6,13,1,12,1,9,1,6,1,13,3,8,1,9,1,11,1,17,3,16,1,11,2,13,2,6,1,8,1,9,1,12,1,17,1,11,1,17,1,11,1,9,1,13,1,30,1,13,1,9,1,7,1,24,1,30,1,28,37,30,1,9,2,11,2,13,1,28,1,30,1,28,2,30,1,6,1,13,1,10,1,16,1,17,3,16,2,11,1,16,1,11,1,10,1,8,1,9,2,8,1,13,1,8,1,9,2,8,1,9,2,16,1,12,1,10,1,9,1,17,3,16,1,17,2,10,1,13,1,6,1,28,7,30,1,28,6,29,1,12,1,17,2,12,1,17,2,24,5,25,4,8,1,25,1,24,5,25,3,8,1,26,1,6,1,30,5,28,1,30,1,6,1,29,2,6,1,26,1,8,2,24,2,9,1,17,11,12,1,17,12,12,4,9,2,24,2,9,2,10,1,9,2,12,1,10,1,12,1,9,2,24,1,8,2,13,2,6,1,7,2,6,7,29,1,13,1,8,1,13,2,7,1,13,2,7,1,8,1,9,1,13,2,8,1,6,8,30,1,28,1,30,1,28,1,30,3,6,1,30,1,6,1,30,2,6,2,30,2,29,1,7,1,30,1,6,1,13,2,8,1,13,1,7,1,9,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,13,4,9,1,13,1,9,1,8,3,9,1,8,1,9,1,13,1,9,1,8,1,9,2,13,4,8,1,9,1,13,1,24,1,8,1,13,1,9,1,24,1,9,3,13,1,9,1,13,3,8,2,13,1,9,1,24,1,8,1,24,2,8,1,9,1,13,2,24,1,9,1,8,1,24,1,8,2,24,1,13,1,9,1,8,1,24,1,9,1,8,1,13,2,8,1,13,5,6,1,13,1,6,1,13,1,6,2,29,1,6,5,29,1,6,2,7,1,6,1,30,1,6,2,7,1,28,1,30,1,28,1,30,1,29,1,30,2,28,1,30,2,6,1,30,1,13,1,30,1,13,1,6,1,13,1,29,1,6,1,7,1,29,1,30,2,13,1,29,1,6,1,29,1,6,1,7,1,13,1,6,1,7,1,6,2,7,2,13,7,6,1,7,1,6,1,29,1,7,1,29,1,13,1,29,1,6,2,29,1,7,1,6,1,29,1,6,1,30,2,6,1,29,1,6,2,28,1,29,1,6,1,28,1,30,2,29,1,28,2,30,3,28,1,6,1,30,1,8,1,30,4,6,1,29,2,6,1,30,3,29,2,30,1,29,1,6,1,29,2,7,2,29,2,6,1,29,1,6,1,29,1,7,1,28,1,7,1,30,2,7,1,29,1,7,1,6,1,13,1,6,1,13,1,6,4,7,1,13,1,6,1,7,1,6,1,7,2,13,3,9,1,8,1,17,2,12,1,17,16,11,1,17,1,12,1,11,1,12,1,9,1,12,1,9,1,10,1,17,1,9,1,17,3,12,1,17,1,10,1,9,3,12,1,9,1,11,1,9,1,11,1,9,1,17,1,11,2,9,1,8,1,10,1,11,2,10,2,11,1,10,1,17,1,12,1,9,1,11,1,9,2,10,1,17,3,11,1,9,1,11,3,9,1,11,3,10,1,12,1,10,1,11,2,12,1,11,2,9,1,17,1,10,1,17,3,10,1,17,1,8,2,12,1,9,3,8,1,9,1,13,2,9,1,11,1,9,1,10,1,11,1,12,1,11,1,9,1,8,2,11,1,9,1,12,1,17,1,12,1,9,3,8,1,24,1,9,1,8,1,13,1,7,2,6,1,13,1,8,1,13,1,8,1,9,1,10,1,9,1,12,4,17,1,11,2,17,3,12,1,17,3,12,2,17,1,10,2,9,1,11,1,10,2,12,1,10,2,9,1,13,1,11,1,10,1,9,3,11,1,9,1,10,2,11,1,10,1,17,1,9,1,11,1,17,1,10,1,17,1,12,1,17,2,11,1,10,1,12,1,17,3,11,1,17,4,12,1,17,3,11,1,17,1,11,1,17,2,16,1,17,26,12,1,17,3,11,1,17,39,28,1,13,2,7,1,13,1,6,2,8,1,13,1,30,1,29,1,13,1,6,1,13,1,7,1,8,1,17,8,12,1,17,2,11,2,12,1,9,1,11,1,8,1,10,2,8,1,9,2,13,2,7,1,6,1,8,1,7,1,6,2,13,3,7,1,24,1,13,2,9,1,8,1,13,3,7,1,8,1,13,1,6,1,13,1,6,1,28,1,30,1,28,4,30,1,28,1,30,2,28,3,30,2,28,2,30,1,28,2,30,1,6,2,30,2,6,3,10,1,13,1,30,5,28,1,29,1,28,1,30,2,28,1,30,1,6,1,28,1,6,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,30,3,6,1,30,4,28,3,30,3,28,1,30,2,28,1,30,1,28,3,30,1,28,7,30,2,28,5,30,1,28,1,6,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,4,28,3,30,1,7,1,28,4,30,1,28,1,30,3,6,1,28,1,30,3,28,1,6,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,6,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,13,2,28,1,13,2,6,1,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,10,30,3,6,1,13,1,29,1,13,1,6,2,13,2,6,2,28,8,30,1,28,10,30,3,28,4,30,1,28,5,30,1,28,8,6,1,30,1,6,2,30,1,28,4,30,1,28,2,30,1,28,12,30,1,28,2,30,2,28,4,30,1,28,4,30,1,28,2,30,1,28,1,30,3,28,12,30,1,28,7,30,1,28,8,6,1,28,16,6,1,28,9,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,2,30,2,6,1,28,13,30,1,28,22,30,1,28,2,30,4,6,2,29,1,28,1,30,1,28,2,30,6,28,2,30,1,29,1,13,1,8,1,6,3,30,2,7,1,30,1,28,1,30,2,28,3,30,1,28,3,6,1,28,3,6,1,28,3,30,1,13,1,28,3,30,2,28,1,30,4,28,1,29,2,6,1,28,4,30,2,28,1,6,1,13,1,6,1,28,11,30,1,28,3,30,3,6,2,28,5,30,1,28,2,29,1,28,2,30,2,29,1,6,1,30,1,13,1,29,1,30,1,6,2,30,1,6,1,30,1,6,2,29,1,6,2,13,1,6,1,13,1,30,1,6,1,13,1,6,1,13,1,9,2,17,19,11,1,16,1,12,1,11,2,17,2,10,1,17,14,16,1,17,1,16,1,17,7,11,1,9,1,8,2,30,1,29,2,28,1,29,1,30,1,28,1,30,2,28,2,30,1,28,6,6,1,17,1,16,1,11,1,17,1,16,1,17,3,16,1,11,3,16,1,9,2,12,1,9,1,17,1,10,1,17,1,12,1,11,5,10,1,9,1,8,1,6,1,13,5,8,1,13,2,8,1,13,1,8,1,7,1,13,1,8,1,13,3,6,1,13,1,9,1,13,3,6,1,13,6,8,1,13,1,7,1,13,1,8,2,6,1,13,1,9,2,13,1,8,1,13,1,8,1,13,1,6,1,13,2,8,3,13,6,8,2,13,3,8,2,13,1,8,1,13,2,8,1,13,2,6,1,13,5,7,1,13,5,6,1,13,1,7,1,8,1,13,4,8,1,13,2,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,3,9,1,13,1,8,1,9,2,13,1,11,1,9,2,12,1,11,1,8,1,12,1,9,3,11,1,10,1,11,1,12,1,11,1,9,2,11,1,9,1,8,2,10,1,9,1,10,1,9,7,16,1,9,1,17,1,8,1,10,1,9,4,8,1,13,1,8,3,13,5,8,1,13,3,8,1,13,3,8,3,13,2,9,1,8,2,9,2,8,1,9,3,13,1,8,2,13,1,8,2,16,1,17,37,8,1,17,1,9,1,13,1,8,1,7,1,13,4,6,1,13,2,6,3,13,2,7,1,13,1,6,1,13,2,6,2,7,1,6,1,30,1,13,1,6,2,13,1,6,2,7,1,30,1,6,1,30,1,6,2,29,1,13,1,30,1,29,1,13,1,6,1,7,1,13,1,29,1,13,2,7,1,13,3,6,1,13,2,8,1,13,2,8,2,13,1,9,1,8,1,6,1,28,2,29,1,30,1,29,1,28,1,29,2,28,2,30,1,28,1,30,1,29,1,30,1,29,1,28,1,29,1,28,1,30,1,28,2,30,1,28,2,29,1,30,1,28,1,30,1,28,16,7,1,13,1,6,2,28,2,30,2,28,3,30,1,28,1,30,2,6,2,30,1,6,4,30,2,6,1,13,1,17,1,28,1,6,1,30,2,28,1,6,1,30,3,6,1,30,3,7,1,13,1,6,1,7,1,6,1,13,2,7,1,30,1,13,1,30,1,7,1,13,1,6,1,13,2,6,5,7,1,13,1,29,1,6,1,7,1,6,5,30,1,9,1,17,2,16,1,9,1,16,1,17,2,11,1,9,2,13,2,10,2,9,1,13,5,8,1,13,3,8,1,13,1,8,1,13,1,9,1,13,1,9,2,17,10,11,1,9,1,11,1,8,3,13,1,8,1,9,1,13,1,9,3,8,1,9,1,8,2,10,1,9,1,13,1,9,1,13,1,8,1,6,1,13,2,8,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,7,1,13,1,7,1,13,1,6,3,7,1,13,1,6,1,13,2,6,1,7,1,6,1,28,1,6,1,30,1,6,1,30,1,28,1,29,1,6,3,30,1,6,1,30,1,29,1,30,1,6,2,30,5,6,2,28,1,30,2,29,1,6,1,29,1,6,3,29,1,6,8,13,1,7,1,13,2,7,1,13,2,9,1,13,3,8,1,9,7,8,1,9,1,10,1,8,1,9,5,10,2,8,1,9,1,10,1,13,2,9,1,13,1,8,1,9,1,13,1,8,1,9,1,16,1,9,3,16,1,9,2,16,1,10,1,17,3,16,1,17,9,16,2,17,2,16,2,17,4,16,1,17,5,16,2,17,10,16,1,13,1,28,15,9,1,17,2,9,2,6,1,13,1,28,19,13,2,9,1,8,1,13,1,17,1,10,1,28,7,7,1,13,1,9,1,28,1,30,1,28,41,9,1,6,2,30,1,28,1,29,1,17,1,16,1,8,1,6,1,30,1,28,1,29,1,6,2,30,1,28,1,9,1,11,1,17,2,11,1,17,2,16,1,8,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,}, {29,1,28,49,30,1,28,1,7,1,9,2,17,1,13,1,6,1,30,1,29,1,28,1,6,1,9,1,11,1,9,1,6,1,7,1,13,1,9,1,11,1,17,6,11,2,9,1,6,1,28,6,13,1,8,1,12,1,6,2,8,1,13,1,7,1,8,1,10,1,17,1,16,4,11,1,13,1,8,1,13,2,8,1,17,1,10,1,16,1,17,1,9,1,13,2,6,2,13,1,8,1,9,1,30,1,28,37,7,1,8,1,11,3,8,1,28,4,29,1,7,1,13,1,11,1,17,5,16,1,9,1,11,1,10,1,16,1,11,3,9,5,10,1,8,1,24,1,17,2,15,1,12,1,17,1,10,1,17,2,11,1,17,2,28,17,17,5,12,2,15,1,12,1,24,3,8,1,25,4,24,1,15,1,24,1,15,1,24,2,25,3,8,1,26,1,29,1,30,2,29,1,30,1,28,1,30,2,29,1,6,2,25,1,8,1,24,2,10,1,24,1,12,1,17,11,12,3,17,9,11,1,12,1,11,1,9,1,11,1,12,1,24,1,9,1,24,2,12,1,9,1,17,1,12,1,9,3,24,1,10,1,13,2,6,1,29,1,6,2,13,2,30,2,7,1,6,1,7,2,13,2,7,3,13,4,9,3,13,1,6,1,29,1,7,2,6,1,30,1,29,1,6,1,30,3,28,1,30,4,28,1,30,1,29,1,28,1,30,1,29,1,30,4,6,3,7,1,13,2,8,1,24,2,7,1,24,1,13,1,8,1,13,5,29,1,8,3,6,1,13,2,8,2,9,1,8,1,13,1,9,1,8,2,13,4,8,1,13,1,8,1,7,1,8,1,13,1,8,1,13,1,9,1,13,1,10,1,9,1,8,1,13,1,8,2,9,1,8,1,13,1,24,1,13,2,24,1,13,2,8,1,13,2,8,1,9,2,8,2,9,1,13,1,24,1,10,1,24,3,9,1,13,1,24,1,13,1,8,1,13,1,8,1,13,2,7,1,13,2,7,1,6,5,13,1,6,3,7,1,6,2,7,1,13,1,6,1,7,1,13,1,29,1,6,1,28,1,6,2,7,1,30,2,29,2,30,3,29,1,6,3,13,1,6,2,29,1,6,4,13,1,6,1,13,1,7,1,13,1,6,4,7,1,6,3,13,1,7,1,13,1,29,1,6,1,7,1,13,2,29,1,7,1,6,1,7,1,6,1,7,1,6,3,29,1,6,1,30,1,28,1,6,2,30,1,29,1,30,1,6,1,30,3,6,1,30,2,6,1,28,1,30,1,28,1,30,5,29,1,30,1,13,1,6,3,30,1,29,1,30,1,29,1,6,3,29,2,6,2,29,1,6,5,30,1,6,5,29,1,7,1,6,4,7,1,6,2,30,1,13,2,6,1,29,1,7,3,6,2,13,1,6,2,13,2,9,2,12,1,17,5,12,1,11,1,17,14,11,1,12,1,9,3,10,2,12,2,11,1,17,1,11,1,17,2,12,1,11,2,9,1,11,1,17,1,12,1,11,1,9,2,12,1,11,1,9,1,10,1,12,1,11,1,12,2,11,1,17,1,12,1,11,1,12,1,9,1,8,2,11,1,9,1,12,3,10,1,9,3,11,2,12,1,10,1,17,1,11,1,17,1,11,1,12,1,10,1,11,1,9,2,12,1,10,1,12,1,17,1,10,1,17,3,12,1,17,1,9,2,13,1,8,1,9,3,13,1,8,1,13,1,8,2,11,1,9,1,11,1,9,1,8,2,10,1,8,1,9,3,12,1,9,4,8,1,13,3,6,4,29,1,6,1,10,1,9,1,13,1,12,1,10,1,12,2,17,1,9,1,17,1,11,1,17,1,9,1,17,1,11,1,17,5,11,1,10,1,17,1,12,1,17,1,9,3,10,1,9,1,11,1,9,2,11,1,9,1,10,1,9,1,11,1,9,2,11,1,9,1,12,1,9,1,10,1,12,1,17,1,12,1,11,2,17,5,12,1,17,4,9,1,11,1,12,2,17,27,12,1,17,52,13,1,28,1,13,1,6,1,13,1,6,2,13,2,6,1,7,1,6,1,13,1,7,1,13,1,11,1,17,8,11,1,12,1,17,1,12,3,17,2,12,1,11,1,8,1,9,1,8,1,13,1,9,1,7,1,13,1,7,2,29,1,7,1,13,2,7,4,13,3,8,1,13,2,7,1,8,1,13,2,7,1,13,2,28,9,30,1,28,4,30,2,28,2,6,1,30,2,6,5,30,1,13,2,6,2,30,2,6,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,6,1,30,8,28,1,6,1,30,1,6,1,30,1,28,2,30,1,28,1,30,3,28,2,30,1,28,3,30,6,28,1,6,1,30,2,28,1,6,1,28,5,30,2,28,1,30,2,28,1,30,1,13,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,6,1,28,1,30,3,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,6,1,30,1,28,2,30,1,28,2,30,2,28,1,30,2,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,8,1,29,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,4,28,1,30,1,28,1,30,9,28,5,30,2,28,3,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,9,6,1,9,1,13,4,6,1,30,1,9,1,6,1,28,1,30,1,28,2,30,1,28,2,6,1,28,5,30,1,28,1,30,1,28,5,6,1,29,1,28,3,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,6,2,30,1,28,1,30,1,28,30,30,1,28,3,30,4,28,2,30,4,28,2,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,5,30,1,28,1,30,3,28,13,6,1,9,1,28,6,30,1,28,3,30,3,28,1,30,2,28,1,30,1,28,6,30,1,6,1,30,3,28,3,30,1,6,2,28,4,30,1,28,8,30,1,28,7,30,1,28,2,30,1,28,8,30,1,28,3,30,2,28,2,29,1,6,1,30,1,6,1,13,1,6,1,29,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,6,1,13,1,7,2,13,1,6,2,30,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,2,30,3,6,1,28,4,30,1,28,5,30,3,7,1,6,1,30,1,28,1,30,2,28,1,6,1,9,1,13,1,30,2,28,9,30,1,28,1,30,6,13,1,6,1,28,6,30,5,28,1,30,1,6,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,29,1,28,1,6,1,13,2,11,3,17,1,11,1,17,14,11,2,9,1,11,2,17,4,9,1,12,1,17,12,11,1,17,1,11,1,16,2,17,6,9,1,13,3,29,1,30,1,28,1,30,1,29,1,30,2,29,1,6,1,30,3,28,6,30,1,17,1,16,1,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,1,11,1,16,1,17,3,16,1,17,1,12,1,10,1,11,1,10,1,17,1,10,1,11,1,8,1,9,1,13,1,6,1,13,1,6,1,13,1,8,1,13,1,8,1,13,6,8,2,13,5,29,1,7,1,30,1,13,1,6,1,13,2,6,1,13,1,29,1,8,1,7,1,13,4,8,2,9,3,8,1,13,1,8,1,13,2,8,2,13,1,7,2,13,1,7,2,8,1,13,5,9,2,13,1,8,1,13,2,8,1,13,7,8,1,6,1,13,3,7,1,13,1,7,1,8,1,6,1,8,2,13,1,7,1,6,1,13,1,6,1,7,2,13,4,9,3,10,1,9,1,8,1,13,1,8,1,13,1,8,1,13,2,8,2,9,1,8,1,9,1,8,1,9,3,10,1,9,1,10,1,9,3,11,2,9,2,10,1,12,1,16,1,9,1,11,1,9,4,12,1,13,1,8,1,12,1,11,1,9,1,8,1,11,1,9,1,11,1,13,1,9,3,13,1,8,1,9,1,13,4,8,1,9,1,13,3,8,1,13,2,9,1,13,3,8,1,13,1,9,1,13,1,12,1,9,1,8,1,9,1,8,2,9,2,8,1,13,1,9,1,13,1,9,3,13,1,9,1,17,36,11,1,10,1,17,1,8,1,9,1,8,1,13,2,9,1,13,2,6,2,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,6,4,29,1,13,2,29,1,30,1,6,1,30,1,6,2,29,1,7,1,6,6,7,2,6,1,7,3,6,1,13,1,6,1,29,1,13,3,9,2,13,3,8,1,13,4,8,1,13,2,30,1,29,3,28,1,29,1,28,3,29,1,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,6,30,1,28,17,30,1,8,1,13,1,29,1,30,2,28,6,29,1,30,1,28,1,13,1,6,2,30,2,6,1,30,3,13,1,6,1,13,1,6,1,30,1,29,1,30,1,28,1,30,1,6,2,30,1,28,1,30,1,7,2,6,2,13,1,7,1,13,2,7,1,13,1,6,6,13,1,6,2,30,2,6,2,30,1,29,1,6,2,13,1,29,1,13,1,30,2,13,2,11,1,17,1,11,1,17,1,11,1,16,2,9,1,16,1,12,1,11,1,13,4,9,1,13,2,8,1,13,3,6,1,13,5,8,3,13,1,9,1,17,6,9,2,12,1,17,1,11,2,9,2,13,2,9,1,8,2,13,1,8,1,13,1,8,1,9,2,8,3,9,1,8,1,9,1,13,3,8,1,13,1,8,1,13,6,6,1,13,1,8,1,13,2,7,1,13,1,6,1,13,1,29,1,7,2,6,2,30,1,6,2,30,2,29,1,6,2,29,1,30,1,6,1,29,1,30,4,29,1,28,1,30,1,6,3,30,1,6,1,30,1,29,1,6,2,30,2,6,1,30,1,6,2,30,1,6,1,29,1,30,1,6,4,30,1,29,2,6,1,30,1,13,1,30,1,6,2,29,1,7,1,6,2,13,1,6,1,13,2,9,1,8,3,9,1,13,1,8,1,9,1,11,1,8,2,7,1,13,1,8,2,9,1,13,4,7,1,6,2,13,3,7,1,13,3,8,1,13,3,9,2,10,1,9,1,11,1,16,1,17,1,9,3,16,2,11,1,16,1,11,1,16,2,11,1,9,1,11,1,9,2,11,2,17,4,9,1,16,2,17,2,16,2,17,7,16,1,11,1,7,1,28,15,8,1,14,1,17,1,9,1,7,1,13,2,28,1,30,1,28,15,30,1,6,1,13,2,7,1,13,1,9,1,11,1,9,1,28,7,9,2,13,1,6,1,28,42,9,1,8,1,6,1,30,1,28,1,30,1,17,2,7,1,6,1,29,1,28,1,29,1,7,1,13,1,6,1,7,1,9,1,17,3,13,2,6,1,13,2,8,1,9,1,13,1,6,1,13,1,16,1,8,1,}, {28,52,6,1,9,1,12,1,11,1,12,1,13,2,6,1,30,1,29,1,24,1,17,1,8,1,24,1,13,1,7,1,8,1,12,1,17,5,16,2,10,1,8,1,7,1,28,6,13,2,24,1,8,1,13,1,8,1,13,1,6,1,13,1,9,1,17,5,11,1,9,1,13,3,9,3,11,1,17,2,13,1,9,1,8,1,6,1,13,2,8,1,13,1,28,38,13,1,11,1,16,2,9,1,30,1,28,3,30,1,6,1,13,1,11,1,17,8,10,1,11,1,16,1,10,1,16,1,9,1,8,1,9,1,11,1,9,2,13,1,9,1,10,1,8,1,10,1,12,1,17,6,14,1,28,17,12,1,17,2,12,1,17,3,12,1,24,4,25,2,8,1,24,1,8,1,25,1,24,4,25,2,8,1,25,3,29,2,30,3,28,3,29,1,6,1,7,1,27,1,24,1,25,1,8,2,10,1,17,1,12,2,11,1,17,11,12,1,17,8,10,3,11,1,10,1,8,1,11,1,9,1,11,1,9,2,24,1,11,1,24,1,10,2,9,2,8,1,13,2,7,1,6,2,13,1,6,5,30,1,7,3,13,5,8,1,13,1,8,2,9,1,13,1,7,1,13,2,6,2,30,1,29,1,30,2,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,4,6,3,29,1,7,1,6,1,8,3,6,1,13,2,8,2,13,3,8,1,13,2,8,1,9,1,13,3,9,1,13,1,10,1,8,2,24,1,9,1,13,1,8,1,13,1,8,1,9,1,7,1,9,1,8,1,13,2,9,1,24,1,13,2,24,1,8,5,9,1,8,1,13,2,9,2,8,1,9,1,24,1,8,2,11,1,8,1,10,1,9,1,24,2,8,1,9,1,13,1,8,1,9,1,24,1,9,1,13,1,8,1,10,1,13,2,9,1,8,1,9,1,8,2,13,1,7,1,8,1,13,2,8,1,13,2,7,1,13,1,7,2,6,1,7,2,6,1,7,2,30,1,6,1,30,1,6,1,30,1,7,1,29,1,7,1,30,1,6,1,30,1,29,1,30,1,6,1,30,2,28,1,30,2,29,1,30,1,6,1,7,1,13,1,6,1,30,1,13,1,6,3,7,1,6,1,7,1,6,3,7,1,6,6,29,1,6,1,7,3,6,1,13,1,7,1,6,1,29,1,7,1,6,1,7,2,13,1,7,1,6,1,13,1,29,1,30,5,6,1,30,3,29,2,30,2,28,1,30,1,6,1,30,4,28,1,29,2,6,1,30,1,7,1,6,1,30,3,29,1,6,2,29,1,6,1,30,1,6,1,30,1,6,1,29,1,6,4,7,1,13,1,29,1,30,1,7,1,6,1,30,1,6,3,29,1,6,1,29,1,30,1,7,1,6,1,13,1,6,1,13,1,7,1,13,2,7,1,6,1,13,1,7,2,13,1,8,1,13,1,17,7,12,1,17,1,10,1,9,1,16,1,17,14,11,1,9,1,10,2,9,1,12,1,9,1,11,1,12,1,17,1,11,1,17,2,10,2,17,1,11,1,9,1,11,3,12,1,17,1,11,3,9,1,17,2,9,2,11,1,17,1,12,1,17,1,12,2,17,1,9,2,11,1,9,1,12,2,11,2,9,2,11,1,10,1,12,1,11,1,12,2,17,1,10,2,9,3,11,1,9,1,17,1,12,1,10,1,11,1,9,2,12,2,17,1,12,1,9,1,11,1,8,1,11,1,9,3,8,1,9,1,24,1,9,2,8,1,10,1,8,2,24,1,8,1,9,2,13,2,9,1,17,1,11,2,9,1,13,1,8,1,13,1,7,1,6,1,13,1,29,1,6,2,13,2,24,1,10,1,24,1,12,3,10,1,9,1,12,1,10,1,11,1,10,1,17,1,11,1,17,6,10,2,17,2,11,1,12,1,11,1,9,1,17,1,9,2,12,1,9,3,8,2,10,2,9,2,11,1,9,2,12,1,10,1,9,1,12,1,11,2,10,1,11,1,12,1,17,1,9,1,11,1,9,1,17,1,9,2,17,2,12,2,17,1,11,1,17,2,10,1,11,1,12,1,17,4,12,1,17,14,12,1,11,1,17,1,12,1,17,9,12,1,17,40,9,1,28,1,6,1,7,1,6,2,7,2,13,1,28,1,6,1,13,1,6,3,17,13,12,1,11,1,12,1,9,1,17,1,8,1,10,1,9,1,10,2,13,1,8,1,7,2,13,3,7,1,13,4,8,1,13,2,8,2,24,1,13,2,8,1,13,1,8,1,13,3,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,9,30,4,13,2,6,1,8,1,13,2,30,1,6,1,30,2,29,1,28,2,6,1,30,1,28,1,30,5,28,1,30,3,6,1,29,1,30,2,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,4,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,4,30,1,28,7,29,1,8,1,28,3,30,1,28,2,30,2,28,2,30,2,28,1,30,3,28,4,30,1,28,3,30,1,28,4,7,1,30,1,28,1,30,2,28,1,30,2,6,1,30,1,28,1,30,4,28,1,30,1,29,1,30,2,28,1,30,4,28,1,30,1,28,1,30,2,6,1,13,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,8,30,3,28,3,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,1,30,4,28,1,30,1,28,4,30,2,28,4,30,1,6,1,13,7,6,1,13,1,6,1,28,2,30,1,28,2,30,1,28,2,30,1,28,7,30,2,28,3,6,1,28,1,30,2,28,5,30,1,28,1,30,2,28,1,30,1,13,1,6,2,28,1,30,1,6,2,29,1,30,3,28,2,30,2,28,27,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,9,30,1,28,2,30,1,28,3,30,2,28,7,30,1,28,5,30,1,28,1,6,1,30,1,28,1,30,1,28,12,9,1,28,8,30,2,28,1,6,1,29,1,30,3,28,3,30,1,29,1,28,1,30,1,29,1,6,2,30,2,28,1,30,1,28,2,6,3,30,1,28,13,30,1,28,7,30,1,28,2,30,1,28,8,30,1,28,1,30,1,28,1,30,3,28,1,6,1,29,1,6,2,28,2,30,2,28,1,30,1,28,1,30,7,6,5,30,1,6,2,30,3,28,2,30,2,28,5,30,1,28,1,30,1,28,3,30,1,6,1,30,2,28,3,30,2,28,1,30,2,28,2,30,4,6,2,28,1,30,1,28,1,6,1,9,1,13,1,6,1,13,1,28,5,30,1,28,3,30,3,28,3,30,1,6,1,13,1,29,1,28,5,30,2,28,1,30,2,28,1,30,1,8,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,4,6,1,13,1,8,1,9,1,11,1,17,1,11,1,12,1,17,1,12,1,16,1,17,2,12,1,17,1,12,1,17,2,11,1,17,1,16,1,17,1,16,1,9,2,10,1,17,1,11,1,17,1,10,1,17,3,11,2,17,9,16,1,17,3,10,1,16,1,17,7,9,1,13,1,7,2,29,1,30,2,29,2,30,2,28,1,30,1,29,2,28,7,30,1,9,1,11,1,16,1,11,1,17,1,16,1,17,7,11,1,17,4,16,2,17,1,11,1,12,2,11,1,12,1,9,1,6,1,13,2,6,1,13,1,6,1,13,1,8,1,13,1,7,1,13,4,8,1,13,1,8,2,13,1,6,1,13,2,8,1,13,2,7,2,6,1,13,4,6,1,13,1,6,1,13,8,8,2,9,3,13,1,9,1,13,2,8,1,29,1,8,1,13,1,8,1,13,3,6,1,13,2,7,1,13,1,7,1,13,2,8,1,13,4,30,1,13,1,29,1,13,4,6,1,13,10,7,2,13,4,6,1,9,1,13,2,10,1,8,1,11,1,10,1,13,2,8,1,13,3,6,1,9,1,13,2,9,2,13,1,9,2,8,1,9,1,10,1,17,1,13,1,17,1,11,2,16,1,9,2,11,1,16,1,12,1,10,1,9,3,11,1,9,2,11,1,13,1,8,1,9,1,17,1,10,1,9,1,17,1,12,1,9,4,8,1,9,1,13,3,8,1,13,2,8,1,13,2,8,1,13,4,8,2,13,3,9,1,13,2,9,7,8,1,9,2,8,1,13,1,9,3,11,1,17,35,11,1,17,2,9,1,8,1,13,1,8,1,13,1,8,1,13,4,7,1,13,2,6,1,13,1,7,1,13,1,6,2,13,1,29,1,13,1,6,1,30,1,13,3,6,4,13,1,30,1,6,1,7,1,6,3,30,1,7,1,30,1,6,1,7,1,30,1,7,1,6,1,29,1,13,1,6,1,13,1,7,1,13,11,9,1,8,1,13,1,28,2,30,1,29,2,27,1,29,2,28,5,30,2,28,5,30,1,28,11,30,1,28,13,13,2,6,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,2,29,1,30,1,13,1,30,2,29,1,30,3,28,1,6,1,28,1,7,1,29,1,6,1,29,1,7,1,6,2,7,1,6,1,7,1,6,1,7,1,13,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,6,1,13,1,7,1,6,1,7,1,6,1,13,1,7,2,6,4,30,1,13,1,17,1,16,2,17,1,10,1,11,1,10,1,11,2,9,3,8,1,9,4,6,1,13,1,8,1,7,1,8,1,13,8,8,1,13,1,8,1,11,1,17,5,9,2,13,1,9,1,17,1,16,1,9,4,8,1,13,4,9,1,13,2,8,1,13,1,8,1,13,1,8,1,13,6,9,1,13,1,7,1,8,1,13,7,6,1,30,1,13,2,6,1,7,1,13,1,6,1,13,2,6,1,7,1,29,1,6,1,29,1,6,1,30,3,6,1,29,1,30,1,6,2,29,2,30,2,29,2,6,2,30,2,6,1,30,1,6,1,30,1,6,1,29,1,6,2,30,1,29,1,6,2,30,1,7,1,30,4,6,1,30,3,29,2,30,1,6,2,30,1,29,1,30,1,6,5,13,1,6,1,13,1,8,1,11,1,8,1,9,3,8,1,6,1,13,1,6,6,13,1,7,1,30,2,6,1,29,1,6,2,13,3,8,1,13,1,9,1,13,1,9,3,8,1,9,3,11,2,9,2,11,1,16,4,11,1,16,4,11,2,9,1,11,1,8,1,9,2,8,3,13,1,8,1,13,2,7,1,13,2,9,1,13,1,9,2,11,1,16,2,11,2,13,1,28,15,11,1,17,1,11,1,13,3,8,1,29,1,28,5,30,1,28,9,6,1,28,1,6,1,7,1,13,2,10,1,9,1,11,2,28,7,12,1,24,1,13,1,29,1,30,1,28,40,6,1,8,1,13,2,28,1,6,2,17,1,16,1,9,1,6,2,28,1,6,2,13,3,9,1,17,2,16,1,30,1,28,2,13,1,6,1,8,1,9,1,8,2,17,1,9,2,}, {6,1,28,49,29,1,28,1,13,1,9,1,10,1,11,1,10,1,13,1,6,3,30,1,24,1,12,1,8,1,7,1,13,1,24,1,8,1,10,1,17,3,16,2,17,1,9,1,13,1,9,1,6,1,28,6,29,1,9,2,7,1,13,2,8,1,13,1,6,1,11,1,16,1,17,1,11,1,17,1,16,1,11,1,16,1,8,1,13,1,8,1,9,1,11,1,10,1,11,1,17,1,16,1,10,1,13,5,9,1,29,1,28,37,30,1,8,1,11,1,16,2,11,1,6,1,28,3,29,1,13,1,6,1,10,1,17,7,16,3,11,1,10,1,9,4,10,1,9,1,8,1,9,1,11,1,24,1,10,1,15,1,9,2,10,1,16,1,17,3,14,1,6,1,28,16,10,1,17,7,15,2,24,2,8,1,25,5,8,1,24,4,25,1,24,1,25,3,27,1,6,1,30,1,28,1,30,2,28,3,6,2,27,1,26,1,25,2,8,1,24,1,17,1,12,2,17,8,12,1,17,1,10,1,12,1,17,3,12,1,17,2,11,1,17,1,11,1,17,1,10,3,11,1,9,1,8,1,13,1,9,3,10,1,9,1,8,1,9,1,8,1,13,2,9,1,13,2,6,6,7,1,13,2,6,1,13,1,7,2,13,1,8,1,13,1,8,1,13,1,8,2,24,2,13,4,6,1,30,1,6,1,29,1,6,1,29,1,30,1,28,1,30,2,29,1,28,1,30,1,28,1,6,1,30,2,28,1,30,1,28,1,6,1,29,1,30,1,29,2,6,1,29,1,7,2,13,1,8,2,13,2,7,1,6,1,8,1,13,2,8,1,13,3,8,1,13,1,8,2,13,1,9,1,8,2,9,1,13,1,9,2,8,2,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,8,2,9,1,8,2,9,1,8,1,10,1,9,1,13,2,9,1,8,4,13,1,8,1,9,1,24,1,13,1,9,1,13,1,8,2,10,1,9,1,24,1,13,1,9,1,8,3,9,1,13,1,11,1,24,2,9,1,8,1,10,1,24,1,6,1,13,1,8,3,13,1,7,1,6,2,13,1,6,1,29,1,13,1,7,1,13,1,6,2,7,2,6,2,7,2,6,5,30,1,7,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,3,7,1,6,5,13,1,29,1,7,2,6,1,13,1,6,1,13,1,6,4,29,1,7,1,29,1,6,7,13,1,7,1,6,2,30,1,6,1,7,1,6,1,13,1,6,2,7,1,30,1,6,1,30,1,6,1,30,2,29,1,30,2,6,1,29,1,28,1,29,1,6,1,30,2,28,1,30,7,29,1,30,1,6,2,7,1,6,1,29,1,30,1,29,2,6,1,7,1,29,1,6,3,29,1,13,1,6,1,7,2,6,1,29,1,13,1,7,1,6,1,7,1,6,6,7,1,6,1,13,1,7,1,6,1,8,1,13,1,9,2,8,2,9,1,13,1,9,1,8,1,9,1,12,1,10,1,17,4,11,1,10,1,9,1,11,1,9,1,10,1,11,1,17,13,12,1,17,1,10,2,11,1,10,1,11,3,17,1,11,2,17,3,11,1,17,2,9,1,10,1,11,2,17,1,12,1,11,1,10,1,12,1,17,1,10,1,17,3,9,1,11,2,17,1,11,2,12,1,9,2,17,1,9,1,17,1,11,1,12,1,10,1,9,1,11,2,10,1,9,1,17,1,10,1,12,1,17,3,11,2,9,1,11,1,9,1,10,1,9,1,10,1,11,1,9,1,11,1,17,4,11,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,24,1,13,1,9,2,8,2,13,1,8,3,7,1,10,1,8,2,13,2,7,1,6,1,29,1,6,2,29,1,7,1,13,1,7,1,10,1,24,1,12,1,11,1,10,1,12,1,11,1,12,2,10,1,9,1,12,2,10,2,17,3,11,1,17,4,10,1,12,1,9,1,10,1,9,2,11,1,9,1,12,1,9,1,10,2,12,1,24,1,10,1,11,1,10,1,12,1,10,1,12,1,9,2,12,1,11,1,12,3,10,1,17,1,9,1,17,1,10,1,12,1,17,2,12,1,17,1,10,1,17,4,12,1,17,5,11,1,17,1,11,1,17,1,12,1,17,2,12,1,17,17,11,1,17,1,12,1,17,46,28,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,28,1,6,4,11,1,17,13,11,1,17,1,10,1,12,1,10,1,11,1,9,3,10,1,9,1,8,1,13,1,24,1,7,1,13,2,7,3,13,6,8,1,13,2,8,2,13,2,8,1,13,2,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,1,13,2,9,1,13,2,6,2,28,1,6,2,28,1,30,2,6,1,30,1,29,1,6,1,29,1,30,3,28,1,30,2,28,1,6,3,28,1,29,1,28,1,30,1,6,1,28,2,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,6,1,28,2,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,2,13,1,6,1,30,3,28,1,30,1,28,1,29,1,28,4,30,1,28,3,30,1,6,1,30,1,6,1,28,1,30,4,28,1,30,2,28,2,30,1,28,5,30,1,28,1,6,1,28,1,30,1,6,1,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,1,6,1,30,4,28,3,30,1,7,1,6,1,28,1,30,1,6,1,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,2,30,2,28,3,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,7,30,2,6,1,13,2,7,1,13,3,6,2,30,2,28,3,30,2,28,2,30,1,28,6,30,2,28,3,6,2,28,5,6,1,28,1,30,1,28,1,30,4,28,2,13,2,6,1,13,1,30,1,6,2,30,1,6,1,30,3,28,1,6,1,30,1,28,3,30,1,28,5,30,1,28,7,30,1,28,6,30,1,28,1,30,3,28,3,30,1,28,12,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,2,28,6,6,1,30,1,13,1,28,14,13,1,28,5,30,1,28,1,30,1,28,2,29,1,30,3,28,2,30,4,28,1,30,1,28,2,6,1,30,1,6,1,30,2,28,2,29,1,30,1,6,2,28,8,30,1,28,2,30,2,28,7,30,1,28,2,30,1,28,2,30,1,28,7,30,1,28,1,30,1,28,3,30,1,28,3,30,1,6,1,28,1,30,2,29,1,30,2,6,3,29,1,6,2,30,3,6,1,28,1,6,1,30,3,6,1,30,2,28,1,30,1,28,12,30,1,28,2,6,1,30,2,28,1,30,1,28,2,30,1,28,4,30,3,6,1,28,1,30,1,28,1,30,1,6,1,7,1,6,1,28,1,13,1,6,1,13,1,28,4,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,2,6,3,30,1,28,1,30,1,28,3,30,1,28,2,6,2,29,1,6,1,28,2,30,1,28,8,30,5,28,1,30,3,13,1,9,2,10,1,11,1,12,2,11,1,17,2,12,1,10,1,16,1,10,1,11,1,9,1,17,1,11,4,9,2,11,2,9,1,11,1,17,2,10,1,17,3,12,1,17,12,9,1,17,1,11,1,17,6,16,2,9,1,8,2,6,1,30,1,29,1,30,1,29,1,30,1,29,1,6,1,28,1,30,1,29,2,28,7,29,1,11,1,9,1,11,1,17,1,10,1,11,1,17,2,16,1,17,10,11,1,17,1,11,3,16,1,11,1,13,1,6,1,13,1,6,1,13,11,8,1,6,1,13,3,9,1,13,1,8,1,13,2,6,1,7,1,6,3,13,1,7,1,13,2,7,1,13,1,8,1,13,2,8,2,9,3,13,2,9,1,13,1,9,3,13,4,8,1,13,11,7,1,13,7,7,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,6,1,13,2,6,1,13,2,6,1,29,1,6,2,29,1,13,3,8,1,24,1,8,1,9,2,24,1,9,2,13,1,9,1,13,2,9,1,13,1,8,2,13,2,9,4,11,1,9,1,12,1,11,1,17,1,10,1,17,1,9,2,11,2,13,1,9,1,11,2,10,1,11,1,8,1,9,3,11,1,9,1,10,1,16,1,9,3,11,1,10,1,12,1,9,1,13,1,9,2,8,1,9,1,13,1,8,1,13,1,8,1,16,1,8,2,13,1,8,1,9,1,13,1,8,2,13,4,9,1,8,2,9,5,8,2,13,1,9,1,8,1,9,1,10,1,9,3,11,1,17,36,11,2,9,1,8,1,13,2,9,1,8,1,13,4,6,1,13,1,6,1,13,2,6,1,13,3,7,1,6,1,13,2,6,3,30,1,13,1,6,4,13,1,6,1,29,1,13,2,29,1,6,1,13,2,6,1,7,1,6,2,7,2,13,3,8,1,29,1,9,1,8,1,13,2,8,1,13,2,6,1,13,2,8,1,9,1,6,1,29,1,28,2,29,1,30,2,29,1,28,7,30,1,28,32,6,1,13,1,30,1,28,7,30,1,28,1,30,1,6,2,30,1,6,1,30,2,29,1,30,1,29,2,28,1,13,1,28,1,30,2,28,1,30,1,29,2,30,2,28,1,6,7,13,1,6,1,13,2,7,1,29,1,6,2,7,1,6,1,13,1,6,2,30,1,6,1,13,1,6,1,13,1,30,1,6,1,7,1,13,1,6,1,30,1,6,1,13,1,17,3,16,1,11,1,9,1,11,1,10,1,9,4,8,1,9,2,8,2,9,1,13,1,8,1,13,1,9,1,6,1,13,7,9,1,8,2,13,1,9,1,17,3,10,1,16,1,9,1,13,2,9,1,11,2,10,1,9,3,13,1,9,2,8,1,13,1,8,1,9,2,13,2,9,1,13,2,8,1,13,3,8,2,13,2,6,1,13,1,7,1,13,2,7,1,13,1,7,1,13,4,6,1,13,2,6,1,13,1,6,3,13,1,7,1,30,1,6,2,7,1,29,1,6,4,30,2,6,1,30,1,6,1,29,1,30,1,7,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,3,28,1,6,3,30,1,7,1,29,1,6,5,30,1,6,2,30,1,6,1,29,1,28,1,6,1,29,1,30,1,29,2,6,3,13,1,6,1,29,1,6,1,7,1,13,4,8,2,6,1,13,1,6,1,7,1,6,2,7,1,13,1,8,1,13,1,6,2,30,1,6,1,29,1,13,2,8,1,13,3,9,1,13,2,9,1,13,1,8,1,13,1,8,2,9,1,16,1,11,2,9,1,11,1,10,1,9,1,10,1,9,1,10,1,9,1,8,1,13,3,6,1,13,1,30,1,13,1,6,1,30,1,6,1,13,1,6,1,13,1,6,2,13,1,6,3,30,1,13,1,6,1,13,1,8,1,9,4,13,1,28,15,11,1,17,2,13,1,8,1,13,1,6,2,28,9,30,1,28,3,30,1,28,2,13,1,30,1,13,1,29,1,13,1,9,2,17,1,13,1,28,6,6,1,11,1,13,1,9,1,28,41,30,1,13,1,9,1,8,1,6,1,28,2,6,1,17,2,13,1,30,1,28,2,29,1,28,1,6,1,30,1,6,1,11,1,17,2,13,1,28,5,6,1,10,1,12,1,9,1,10,1,9,1,10,1,}, {30,1,28,51,30,1,8,1,12,1,10,1,8,2,30,3,28,1,9,1,11,1,9,1,8,1,7,1,13,1,8,1,11,1,17,6,16,1,9,1,8,1,30,1,28,1,30,1,28,4,29,1,8,1,10,1,13,2,6,1,7,2,6,1,13,1,11,1,17,3,16,1,17,1,8,3,13,1,8,1,10,1,11,1,9,1,17,1,9,2,7,1,13,4,9,1,13,1,29,1,28,32,30,1,28,4,29,1,9,1,16,1,11,1,9,1,6,1,28,3,30,1,6,2,9,1,16,1,17,7,16,2,9,1,17,1,16,1,11,1,24,1,9,1,24,1,9,2,15,1,9,2,10,2,16,1,9,1,11,1,16,1,17,4,6,1,28,16,9,1,12,1,17,1,12,2,17,2,12,3,24,3,8,1,25,2,24,1,25,1,27,2,8,1,24,3,25,5,27,1,6,1,30,1,28,2,30,1,28,2,30,1,6,1,13,1,8,1,25,2,8,1,25,1,10,1,17,2,11,1,17,9,10,1,12,1,17,9,9,1,17,1,10,1,11,1,9,1,8,1,10,1,9,1,8,2,24,2,8,2,13,2,7,1,13,3,7,1,6,1,30,1,13,1,6,3,13,2,8,1,9,1,7,2,13,2,7,1,8,1,13,1,8,2,13,1,8,1,24,1,13,1,8,1,7,1,13,1,6,3,30,2,28,1,29,1,6,2,30,10,28,1,30,1,28,1,30,1,6,1,30,1,7,1,6,1,7,2,10,1,6,1,7,1,13,4,7,1,13,2,6,2,13,3,8,1,13,3,8,1,9,1,13,1,9,1,24,1,8,2,13,1,8,2,13,1,8,1,13,3,8,1,13,2,9,1,8,1,9,1,8,1,13,1,8,1,9,2,13,1,8,1,9,2,8,1,9,1,8,1,9,1,24,1,13,1,8,4,24,1,8,1,9,1,24,2,8,3,9,2,24,1,9,1,24,1,9,1,24,2,9,1,10,1,8,1,24,2,7,1,13,3,8,1,13,1,7,1,8,1,7,1,13,1,6,4,29,1,13,1,6,1,7,1,6,1,29,1,6,1,7,2,6,1,7,1,6,1,29,1,6,2,7,1,29,1,13,1,29,1,6,1,30,2,28,1,6,1,29,1,6,2,30,1,6,2,7,1,6,1,30,1,6,2,7,1,6,1,7,1,6,1,7,1,6,1,7,1,29,1,6,3,29,1,6,1,29,1,13,1,30,1,13,1,7,1,6,2,30,1,6,1,30,1,6,1,13,1,7,2,13,1,7,1,6,2,29,1,30,2,6,2,30,5,7,1,30,1,29,1,30,2,6,1,28,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,2,13,1,6,1,30,1,6,1,30,1,6,5,29,1,7,1,6,3,30,1,7,1,6,1,13,2,7,1,6,1,13,1,6,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,8,1,11,1,9,5,11,2,17,6,9,2,8,2,9,4,17,16,10,2,9,1,10,1,12,1,9,1,17,1,11,1,12,1,17,1,12,1,11,1,17,2,10,1,9,1,12,1,11,1,9,1,12,1,9,1,17,1,11,1,12,1,11,1,12,1,10,1,11,2,17,1,12,1,11,1,12,1,17,1,11,1,12,1,9,1,12,1,11,2,12,2,9,1,17,1,11,2,10,1,11,1,9,1,11,1,17,1,11,1,17,1,10,1,12,1,17,1,9,1,10,1,11,2,9,1,11,1,9,1,8,1,11,2,17,3,12,1,17,1,10,1,9,2,13,2,9,1,8,1,13,1,8,1,10,1,8,2,13,1,8,1,13,1,24,1,8,2,13,1,8,2,13,1,7,2,13,2,8,2,6,1,7,2,6,2,30,1,6,3,13,2,9,1,8,1,9,2,10,1,12,2,10,1,12,1,17,1,10,1,12,2,9,1,12,1,17,8,10,2,11,1,12,2,10,1,12,1,11,2,10,1,11,1,9,3,12,1,10,1,9,1,12,1,9,1,12,1,9,1,10,1,9,1,17,1,11,1,12,3,10,1,11,2,10,1,17,2,12,1,11,1,17,1,12,1,17,1,12,2,17,2,12,1,17,2,10,1,17,4,11,1,17,1,12,1,17,1,12,1,17,16,9,1,11,1,17,1,11,1,12,1,11,1,17,38,14,1,17,5,13,2,6,1,29,1,6,2,7,1,6,4,29,1,6,1,17,11,11,1,17,2,11,1,12,1,11,1,10,1,9,1,10,2,9,2,8,1,13,1,24,1,13,1,7,1,8,2,6,1,13,1,8,1,7,1,13,1,8,1,13,1,7,1,13,1,8,1,24,1,8,1,13,4,8,1,13,1,9,1,13,1,30,3,28,1,30,1,28,3,30,2,28,2,30,1,28,2,30,2,28,1,30,1,28,4,13,6,6,1,30,2,6,4,28,1,30,3,6,1,30,3,6,2,28,1,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,1,30,2,28,1,30,4,28,1,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,13,1,30,2,29,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,7,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,6,1,30,1,28,2,30,2,28,1,30,2,29,1,30,1,28,1,30,1,28,2,30,4,6,1,30,1,28,1,13,1,6,1,30,1,28,1,30,3,28,1,30,5,28,6,30,1,28,6,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,4,6,1,28,8,29,1,28,1,30,1,28,2,6,1,28,2,30,1,28,9,30,1,6,1,29,1,6,1,7,1,13,5,7,2,30,4,28,12,30,2,28,3,30,4,28,4,30,1,28,2,30,1,6,1,29,1,28,1,30,1,28,1,13,1,8,1,13,3,6,2,30,2,28,2,29,1,30,1,28,16,30,1,28,5,30,1,28,4,30,2,28,10,30,1,28,2,30,2,28,2,30,3,28,2,30,1,28,1,30,2,28,4,30,1,6,1,28,7,30,2,28,1,6,1,28,1,30,1,28,8,30,1,28,3,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,3,30,1,28,2,29,1,30,3,28,1,30,4,28,3,30,1,7,1,13,1,30,1,28,7,30,1,28,3,30,1,28,13,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,1,30,1,6,1,30,3,28,1,6,1,29,1,30,1,6,1,30,1,6,2,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,30,3,28,3,30,3,28,2,30,1,28,1,30,1,6,1,28,4,6,1,30,2,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,2,29,2,13,1,30,1,7,1,13,1,30,1,6,1,28,4,30,1,28,2,30,2,28,2,30,1,28,3,6,1,30,2,28,6,30,1,28,2,13,1,30,2,13,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,13,1,8,1,13,1,11,1,9,1,11,1,8,1,17,1,11,1,12,1,10,1,12,1,17,1,10,1,17,1,12,1,17,2,12,1,11,1,17,1,11,1,9,3,11,3,17,1,11,1,16,1,17,4,11,1,17,3,11,1,16,1,17,4,16,1,11,1,17,2,10,1,16,1,17,6,9,1,8,2,7,1,29,3,30,4,29,1,28,1,29,1,30,2,28,7,29,1,11,2,9,1,16,2,17,1,16,3,17,5,16,1,17,8,16,1,11,1,13,2,6,1,13,2,7,1,30,1,13,3,7,1,8,1,13,2,7,1,8,1,13,1,8,3,13,1,6,2,9,1,8,1,13,3,6,2,13,2,7,1,13,1,7,1,13,3,7,1,9,1,8,1,11,1,9,1,13,2,9,1,7,1,9,1,13,3,6,1,13,1,7,1,13,1,8,1,6,2,13,6,6,1,13,5,8,1,6,2,7,1,6,1,13,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,7,1,13,1,6,3,30,1,6,2,30,1,28,1,30,1,29,1,13,1,8,1,6,1,13,1,6,1,13,1,10,1,9,3,13,1,8,1,13,4,8,1,9,1,13,1,8,1,9,1,8,1,10,1,9,1,10,1,9,1,11,1,10,1,8,1,12,1,10,2,12,1,11,1,9,1,11,2,9,1,16,1,9,3,10,1,9,6,11,1,9,2,11,1,9,4,17,1,9,1,8,1,7,1,8,5,9,1,13,1,9,2,13,1,8,2,9,1,7,1,8,1,13,2,8,1,9,4,13,1,8,1,13,1,9,1,8,3,9,2,13,1,9,1,16,1,8,1,11,3,17,36,9,1,13,1,9,1,8,1,9,1,13,6,6,1,13,2,6,1,13,3,7,1,6,2,7,2,6,1,13,1,6,2,30,1,7,1,6,1,7,1,6,1,7,1,6,5,13,1,6,1,13,3,7,2,6,3,8,1,13,1,7,1,13,2,6,1,13,1,8,1,13,3,8,1,13,2,8,1,13,1,11,1,29,1,30,2,29,3,6,1,28,1,29,1,28,24,30,1,28,14,30,1,8,1,28,1,30,1,28,5,30,1,28,2,30,2,29,1,6,1,29,1,6,2,30,3,6,1,13,2,6,1,30,1,28,1,6,1,30,4,6,3,29,1,6,1,30,1,6,4,13,1,6,1,7,3,13,1,6,1,13,1,6,1,29,1,6,6,13,1,6,1,13,1,7,1,6,2,13,1,9,1,17,3,9,1,11,1,9,1,11,2,9,4,8,1,9,2,8,1,9,2,13,6,7,1,13,6,8,1,9,1,8,1,9,1,16,1,17,2,16,1,11,2,9,1,13,2,8,1,11,2,12,1,9,1,11,1,9,1,8,1,9,1,8,1,9,1,8,4,9,1,8,1,13,5,8,1,13,1,6,1,8,1,13,1,7,2,13,1,7,1,6,1,13,1,6,1,13,2,7,1,6,2,13,1,6,1,7,1,6,2,13,2,6,1,13,1,29,1,7,1,6,3,29,1,6,2,29,1,30,1,29,1,7,1,6,1,30,1,7,1,6,1,30,2,6,4,30,1,28,1,6,11,29,1,6,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,29,1,6,1,29,2,6,1,29,1,30,1,6,1,30,1,6,2,30,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,30,1,13,2,6,1,13,4,6,2,13,1,6,10,7,1,13,2,8,2,9,1,16,1,9,1,16,1,17,1,11,1,9,2,8,1,13,5,29,1,6,2,29,2,7,1,30,1,13,1,30,1,6,1,28,1,6,1,29,1,30,3,6,2,30,1,6,1,13,7,9,1,13,1,29,1,28,15,17,2,9,1,13,3,6,1,28,1,29,1,28,3,30,2,28,8,30,1,28,1,30,2,6,1,13,2,8,1,9,1,17,1,8,1,28,7,12,1,7,2,28,42,13,1,11,1,13,1,29,1,28,2,8,1,17,1,10,1,13,2,28,4,6,1,13,1,29,1,11,1,17,2,13,1,28,5,13,1,10,2,13,3,8,1,}, {30,1,28,2,30,1,28,49,10,1,12,2,11,1,13,1,6,3,28,1,13,1,17,1,9,1,8,1,6,1,8,1,24,1,10,1,17,1,11,1,17,4,16,1,9,1,13,2,28,4,30,3,13,1,17,1,8,1,13,1,7,1,13,1,7,1,6,1,9,1,12,1,17,4,16,2,13,2,8,1,9,2,12,2,17,2,13,1,8,1,13,2,7,2,9,1,13,1,28,37,29,1,6,1,9,1,17,1,9,1,11,1,6,1,28,3,30,1,6,2,9,1,17,7,16,2,9,1,11,2,9,1,8,1,10,1,9,1,11,1,9,1,11,1,9,3,10,1,9,1,10,1,9,2,17,5,28,17,9,1,12,1,17,5,12,4,24,2,8,1,24,1,25,4,8,1,27,1,24,2,25,5,8,1,25,1,29,2,30,1,28,2,30,1,28,1,30,2,6,1,8,2,25,1,8,2,24,1,17,1,10,1,17,1,11,1,17,2,11,1,17,1,11,1,17,1,12,2,9,1,17,10,10,1,11,1,9,1,10,1,11,1,9,3,8,3,24,1,13,1,6,1,7,1,6,1,13,2,29,1,13,1,6,1,7,2,30,1,7,1,6,1,13,3,6,1,30,1,13,3,8,1,9,1,8,2,13,2,8,1,13,1,8,2,13,1,7,1,8,1,6,1,7,1,29,1,7,1,6,1,13,1,6,1,28,1,30,1,6,1,30,2,29,1,30,1,29,1,28,1,29,2,30,1,6,1,29,3,6,2,7,2,6,1,13,3,8,1,13,4,6,1,13,2,8,1,13,3,8,1,7,1,13,1,9,1,13,1,8,1,13,1,9,3,8,1,9,1,8,2,13,1,9,1,13,1,9,1,8,3,13,2,9,1,8,2,9,1,8,1,24,3,9,2,13,2,8,1,9,2,24,1,8,1,9,1,13,1,9,2,24,2,8,2,9,1,8,1,9,1,8,1,10,1,8,3,24,1,10,1,24,2,8,1,9,1,8,1,10,1,13,2,8,1,24,1,8,3,13,2,7,1,13,1,6,1,7,1,13,2,7,3,6,2,7,2,6,4,13,1,6,4,29,2,6,1,29,2,30,1,28,1,30,2,6,1,28,1,6,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,5,7,1,6,1,29,2,6,2,29,1,6,1,7,1,6,4,7,1,29,1,6,3,13,2,7,1,13,2,6,1,29,1,6,2,30,2,6,4,30,1,6,1,29,1,30,3,6,2,28,1,30,2,6,2,30,1,6,1,30,1,29,1,30,1,8,1,7,1,6,5,7,1,28,1,7,1,6,2,7,1,6,2,13,1,7,1,13,3,7,1,8,1,13,5,8,1,13,2,8,1,9,1,11,1,9,1,11,1,17,10,11,1,9,2,13,1,6,1,13,2,8,2,13,1,9,1,8,1,11,1,17,9,12,1,17,3,9,1,17,2,9,1,11,1,17,2,12,1,11,1,10,1,11,1,12,1,11,2,17,1,8,1,17,1,10,1,11,1,12,1,9,1,17,1,11,1,9,1,17,1,12,1,17,1,11,1,12,3,11,2,17,2,11,2,12,1,10,1,9,1,10,2,12,1,17,2,9,6,11,2,17,2,8,1,11,2,17,1,11,1,17,2,10,2,17,1,11,1,9,2,17,1,11,2,17,1,12,1,17,1,11,1,12,1,8,1,13,1,9,4,13,2,8,1,13,1,6,1,13,1,8,1,24,1,13,1,8,1,13,2,7,2,13,1,7,2,6,1,24,1,13,2,6,2,30,1,29,1,30,1,6,1,30,1,6,1,13,1,24,1,10,1,12,1,11,1,10,1,12,1,10,1,12,2,11,1,10,2,12,1,17,1,12,1,11,1,12,1,10,1,17,2,10,1,17,3,12,1,9,1,11,1,9,1,17,1,12,2,17,1,10,2,11,1,9,1,11,1,9,1,17,1,12,1,10,1,12,1,9,1,11,3,9,1,17,2,10,1,11,1,10,1,12,1,10,1,17,1,9,1,12,1,9,1,10,1,12,1,17,1,10,1,12,1,10,1,17,1,12,1,17,79,14,1,24,1,13,1,8,1,28,1,29,1,13,3,28,1,7,1,6,2,9,1,17,10,12,1,17,1,12,2,17,1,12,2,9,1,10,2,9,2,12,1,9,1,24,1,8,1,24,1,13,2,8,1,13,1,7,1,13,2,8,1,13,2,8,1,6,1,13,6,8,1,13,4,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,6,1,13,3,7,1,13,1,30,1,13,1,30,3,29,1,6,2,13,1,6,2,30,1,28,2,29,1,6,2,28,1,30,2,28,1,29,1,28,1,30,1,28,1,29,1,30,2,29,1,13,1,30,1,6,1,28,2,30,2,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,2,6,1,28,2,30,1,28,5,30,2,28,4,13,1,29,1,30,2,28,1,30,5,28,2,30,1,28,1,30,1,6,1,30,3,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,2,28,1,30,1,28,4,29,1,6,1,28,2,30,1,28,1,30,2,28,1,6,1,30,1,28,1,6,1,28,1,30,4,28,4,6,1,9,1,6,1,28,1,6,1,30,4,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,12,30,2,28,2,30,1,28,8,6,1,28,2,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,3,7,1,13,1,6,2,13,8,6,1,30,1,28,3,30,2,28,4,30,2,28,1,30,1,28,3,29,1,6,1,30,1,28,1,6,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,4,13,1,9,2,13,1,6,2,28,5,30,1,28,1,29,1,30,2,28,10,30,1,28,2,30,2,28,9,30,1,28,15,30,1,6,1,28,1,30,1,28,2,6,1,30,3,28,1,30,1,28,2,29,1,28,1,7,1,28,1,30,1,28,5,30,2,28,2,30,1,6,1,30,1,6,1,28,7,30,2,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,5,30,2,28,6,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,4,29,1,6,1,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,7,30,1,28,4,30,3,28,6,30,1,28,6,30,1,28,1,30,1,29,1,30,1,28,1,30,2,28,3,30,6,28,1,6,1,28,1,30,1,28,2,30,2,28,1,29,1,30,3,28,15,30,1,29,1,30,1,28,4,30,1,28,8,30,1,28,3,30,2,6,1,30,1,6,1,30,1,13,2,6,1,28,8,30,1,28,2,30,1,28,2,29,1,30,1,13,1,30,1,28,1,29,1,28,3,30,1,28,3,6,1,30,1,28,1,29,1,28,3,30,1,28,1,30,2,28,6,30,1,28,3,30,2,9,4,8,1,11,1,10,1,11,3,10,1,17,3,9,1,17,1,11,2,17,2,11,1,17,1,9,1,10,1,9,2,17,1,16,1,11,4,17,5,16,1,17,1,11,2,8,1,11,2,10,1,9,1,11,3,16,1,17,6,10,1,9,1,13,3,28,1,29,2,30,1,29,1,30,3,28,1,30,3,28,7,6,1,9,1,11,1,9,1,11,1,16,2,17,1,16,1,17,4,16,1,17,9,11,1,16,1,9,1,13,2,7,1,13,1,6,1,13,8,7,1,6,1,13,5,8,1,13,3,8,1,6,1,13,4,6,3,13,1,7,1,6,1,13,1,8,1,13,3,9,1,8,2,13,2,7,1,13,1,8,1,13,1,9,1,13,1,30,1,13,4,9,1,13,4,7,1,13,10,7,2,6,1,13,1,7,1,13,3,6,1,13,1,6,1,7,1,6,3,13,1,6,2,7,1,30,1,28,3,29,1,6,1,7,1,13,2,6,1,13,1,6,1,7,1,9,1,11,1,8,2,13,1,8,1,13,6,8,3,9,1,8,1,9,1,12,1,17,1,10,1,9,1,12,1,11,1,9,1,10,1,11,1,9,1,11,1,10,1,12,1,11,1,10,1,9,1,8,1,9,1,11,3,9,4,11,1,17,1,12,1,8,1,16,1,11,1,17,1,10,1,9,3,13,1,8,1,13,1,9,1,13,2,8,2,13,1,8,2,13,2,8,1,9,1,13,1,9,1,8,3,9,2,13,1,9,1,13,2,9,1,8,2,9,1,8,1,10,1,9,1,8,1,9,1,13,1,8,1,10,1,16,1,17,33,16,1,11,2,8,1,9,1,8,2,9,1,13,1,7,1,13,2,6,1,13,1,6,1,13,1,30,2,13,1,6,1,13,1,6,4,13,1,7,1,6,1,13,1,6,1,13,1,6,6,7,1,13,2,6,1,13,3,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,4,9,1,13,3,8,1,13,2,8,2,24,1,29,1,7,1,30,1,29,1,30,1,29,1,30,1,28,1,30,2,28,8,30,1,28,30,9,1,6,1,30,1,28,4,30,1,28,1,29,1,30,6,29,1,28,1,6,1,29,1,28,1,30,1,6,1,8,1,30,5,28,1,29,1,28,1,30,1,6,3,7,1,6,1,30,1,6,1,7,1,6,1,13,1,29,1,13,1,8,1,6,1,13,1,6,2,7,1,30,1,13,1,29,2,13,1,7,1,6,1,13,3,6,1,13,1,8,1,10,1,16,1,17,3,11,1,16,1,11,1,10,1,8,2,9,3,12,1,9,3,13,2,6,1,13,3,7,2,13,2,6,1,13,2,8,3,9,1,8,1,9,1,11,1,17,2,11,1,9,2,8,1,13,3,9,2,16,2,11,1,9,1,8,3,9,1,13,5,8,1,13,11,6,1,13,3,7,1,13,2,6,1,13,4,6,1,13,2,7,2,6,2,7,1,6,1,13,1,6,4,30,1,29,1,6,1,30,1,6,1,29,1,30,1,6,2,29,1,6,1,13,1,30,1,6,1,30,1,6,2,29,1,6,2,29,1,6,5,29,1,6,3,7,1,30,1,7,1,6,1,29,1,6,1,30,3,29,2,30,4,29,1,6,2,30,6,6,1,30,3,6,1,30,1,6,4,30,1,7,1,6,4,13,2,8,1,13,1,6,3,29,1,28,1,13,5,8,2,9,1,16,1,17,1,9,1,11,1,16,2,10,1,13,1,6,1,13,2,29,1,30,1,6,1,30,3,6,1,30,5,29,2,30,1,29,2,30,2,29,1,30,3,6,1,29,1,30,1,6,2,13,3,6,1,13,2,6,1,28,15,16,1,17,1,9,1,6,1,8,1,13,1,6,1,29,1,30,1,28,2,30,1,28,10,30,4,13,1,8,2,9,1,11,1,17,1,13,1,28,6,30,1,8,2,30,1,28,42,6,1,11,1,13,1,28,3,13,1,17,1,11,1,6,1,30,1,28,4,6,1,30,1,6,1,16,1,17,2,30,1,28,5,6,1,10,1,8,1,13,1,28,3,}, {30,1,28,45,30,2,28,5,8,1,12,1,17,1,12,1,13,1,6,1,30,3,9,1,12,1,9,1,8,1,6,1,7,1,8,1,9,1,12,1,17,3,16,2,17,1,9,2,7,1,6,1,28,3,29,1,28,2,13,1,9,1,8,1,7,1,29,1,6,1,13,1,29,1,13,1,17,3,16,1,17,1,9,1,11,1,13,1,10,1,13,2,9,1,11,1,17,1,11,1,17,1,8,1,9,1,13,1,6,1,13,1,7,1,9,1,24,1,28,37,6,1,7,1,8,2,11,1,9,1,13,1,28,4,30,1,6,1,9,1,17,5,16,1,17,2,16,2,11,1,16,1,11,1,9,3,12,1,9,3,11,1,9,1,8,1,13,2,9,1,17,1,12,1,17,4,28,17,13,1,10,1,12,1,17,5,12,2,24,1,12,1,24,1,8,1,24,1,8,1,25,1,24,1,25,1,27,1,25,1,26,1,8,1,24,1,25,1,24,1,25,4,27,2,28,1,30,1,28,1,29,1,28,4,29,1,25,1,8,1,25,2,24,1,10,1,12,2,10,2,17,2,12,2,10,1,11,1,10,2,17,1,12,1,17,7,12,1,9,1,11,2,12,1,10,2,8,1,11,1,8,1,10,1,13,3,7,1,8,1,7,2,6,1,7,1,29,1,7,1,6,4,13,4,8,1,13,1,8,1,13,1,24,3,8,1,24,1,13,1,24,1,8,2,13,2,8,1,13,2,7,1,6,1,30,1,6,2,30,1,6,1,30,1,6,3,30,1,29,1,6,1,29,2,30,3,6,1,7,1,13,1,7,2,13,1,6,1,13,1,7,1,13,1,8,1,13,5,7,1,13,4,8,1,7,1,13,3,8,1,13,1,8,1,13,1,8,3,9,1,13,1,9,2,8,1,9,1,13,1,8,2,9,1,13,1,9,1,8,2,9,1,8,1,9,1,8,2,24,1,8,1,24,1,9,2,10,1,24,1,9,1,8,2,9,1,11,1,8,2,9,2,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,12,1,9,1,8,1,9,1,13,1,12,1,9,2,24,1,9,1,13,1,8,1,9,1,24,1,8,1,13,1,6,1,8,1,7,1,13,1,6,1,13,2,7,1,13,1,6,1,13,1,29,1,13,1,6,1,7,2,13,2,6,3,13,1,30,1,29,1,30,1,6,1,7,1,6,2,7,1,6,1,29,1,6,1,29,1,30,1,6,1,30,4,6,2,30,2,6,2,7,2,6,2,7,1,6,3,29,1,6,2,30,1,6,2,7,1,6,1,29,1,13,1,7,1,6,1,29,2,6,3,13,1,6,1,30,1,6,1,30,1,13,1,30,1,7,1,29,2,6,2,29,1,30,1,6,1,30,1,29,1,6,1,7,1,6,1,29,1,30,1,6,1,30,1,28,1,30,3,6,1,29,1,6,1,13,2,30,1,6,1,30,1,7,1,6,2,30,1,7,3,13,1,6,1,13,2,9,1,13,2,8,1,10,1,9,2,11,2,17,1,10,2,12,2,17,9,11,1,9,2,13,10,8,1,13,1,8,1,9,2,17,12,11,1,17,2,12,1,10,2,12,1,10,1,12,1,11,1,12,1,10,1,11,1,9,1,17,1,11,1,17,2,10,1,11,2,10,1,12,1,11,1,12,1,17,6,12,1,17,1,11,1,12,1,10,1,12,1,11,1,12,1,9,1,11,1,12,1,11,1,10,1,17,1,11,1,12,1,10,1,9,2,10,1,11,1,9,1,12,2,9,1,12,1,17,1,11,3,17,1,12,1,17,1,12,1,9,2,8,1,9,2,11,1,12,3,11,1,9,1,10,2,8,1,9,2,13,1,8,1,13,1,8,2,13,2,8,1,13,5,6,1,8,1,13,3,7,1,13,1,7,2,6,1,8,1,7,1,29,1,6,2,29,1,6,3,8,1,10,1,9,1,12,1,10,1,9,1,17,1,12,1,17,5,10,2,11,1,17,1,11,1,17,1,11,1,17,1,12,1,17,2,9,1,12,1,11,1,10,1,12,1,9,2,11,1,10,1,12,1,9,2,11,2,9,1,12,1,9,1,10,3,9,1,11,1,8,1,12,1,11,1,12,1,17,2,9,1,10,1,17,1,10,1,11,1,9,1,10,1,12,1,10,1,12,1,17,1,11,1,12,1,9,1,17,3,12,2,11,1,17,11,12,1,17,63,9,1,13,1,8,1,30,1,6,1,8,1,29,1,7,1,6,3,7,1,11,1,17,9,12,1,17,4,12,1,9,1,17,1,9,1,10,1,9,1,12,1,9,1,10,1,12,1,9,1,13,1,8,1,9,1,13,1,24,1,13,2,8,1,13,2,8,1,7,1,13,1,8,1,24,2,8,2,13,2,9,1,13,2,8,1,9,1,30,1,28,1,30,1,28,3,30,2,28,2,6,1,30,2,28,5,29,1,30,2,13,2,11,1,6,3,30,1,6,1,30,4,6,1,30,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,9,1,30,1,28,1,30,6,28,1,30,2,28,1,30,3,28,2,30,1,28,3,30,1,28,1,30,1,29,1,30,4,28,2,30,1,29,1,28,1,6,1,30,1,6,1,30,1,29,1,28,1,30,1,28,3,30,1,28,2,30,1,8,1,28,1,30,1,28,1,30,1,28,1,30,4,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,3,6,1,30,1,28,1,30,1,28,3,30,1,28,1,13,1,28,2,30,2,28,2,30,3,28,1,30,2,28,4,30,1,28,1,6,1,30,1,6,1,13,1,6,1,30,1,28,1,6,1,30,2,28,1,30,1,28,2,30,6,28,1,29,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,6,1,30,1,28,1,30,1,28,5,30,1,28,2,30,2,28,3,30,1,28,1,29,1,28,1,6,1,7,2,13,1,6,2,13,1,6,1,30,2,6,2,13,1,28,1,30,1,28,1,30,1,28,1,30,3,28,4,30,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,6,1,30,3,28,7,30,1,28,2,30,1,28,2,30,1,13,1,8,1,13,1,7,1,30,1,28,1,30,1,28,8,13,1,28,1,30,1,28,7,30,1,28,8,30,1,28,4,6,1,28,1,30,1,28,11,30,1,28,3,6,1,28,2,30,5,28,1,30,2,6,1,30,2,28,1,30,1,28,1,30,2,28,3,30,1,28,1,29,1,28,2,30,1,6,1,28,1,6,1,28,8,30,1,28,3,30,2,28,4,6,1,28,7,30,1,28,1,6,1,28,4,30,1,28,9,30,1,13,2,28,2,30,1,28,1,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,10,30,2,28,5,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,3,28,3,30,3,28,1,30,1,28,1,29,1,28,1,30,3,28,6,30,1,28,5,30,3,28,7,30,2,28,1,30,3,28,2,30,1,28,2,6,1,13,1,28,3,6,1,7,1,6,1,30,1,28,10,30,1,28,4,6,2,28,2,30,1,28,6,29,1,13,1,30,1,28,12,30,1,28,2,30,1,28,2,13,1,9,1,8,1,11,1,9,2,10,1,9,1,12,1,9,3,12,1,9,1,10,2,17,1,11,1,17,3,11,1,17,1,11,2,10,1,9,1,11,4,9,1,11,3,17,6,16,1,17,2,11,2,9,1,10,1,11,2,16,1,17,6,10,1,9,1,13,1,8,1,13,1,6,1,30,1,29,4,28,1,29,1,30,3,29,1,30,1,28,7,13,1,9,1,8,1,9,1,10,1,11,1,16,4,17,11,16,3,11,1,13,1,6,1,13,12,6,1,13,2,8,1,13,1,8,3,6,1,8,1,13,2,6,1,13,2,6,1,7,1,6,3,13,1,7,1,8,1,13,4,9,2,6,1,8,1,13,2,6,1,13,3,8,1,6,1,8,1,13,3,7,1,13,2,8,1,13,2,8,1,7,1,13,2,8,1,6,1,13,2,6,5,13,2,6,3,7,1,6,1,8,1,6,4,13,1,30,1,6,2,30,2,28,2,30,1,6,1,30,2,6,1,28,1,30,2,29,1,6,1,30,1,13,1,8,1,13,2,8,1,6,1,9,1,11,1,9,1,8,2,13,1,9,3,17,1,9,1,10,1,11,1,8,1,10,1,9,1,11,1,17,1,10,1,12,1,9,1,10,1,9,1,8,1,13,1,8,1,16,1,11,1,10,1,9,2,17,1,8,1,17,2,8,1,17,1,9,1,11,3,9,2,11,1,8,3,13,2,9,1,13,6,9,3,13,3,8,1,9,2,8,3,13,2,9,2,13,2,8,1,9,1,8,2,9,7,11,1,17,33,16,1,10,1,9,3,13,1,9,1,8,2,13,4,7,1,13,1,6,3,13,1,7,1,6,2,7,1,13,1,7,1,13,1,6,1,13,1,6,2,29,1,13,2,6,1,13,1,7,1,13,2,6,4,13,3,6,1,13,2,8,1,13,1,6,3,13,4,8,1,9,1,13,1,8,2,13,1,8,3,10,1,9,1,6,2,30,1,29,4,30,3,28,3,30,1,28,18,30,1,28,15,8,1,13,1,28,6,6,1,28,2,30,1,6,1,30,2,6,1,30,3,28,1,6,1,29,2,13,1,30,3,28,2,30,1,28,1,29,2,30,1,6,1,30,1,7,1,13,1,29,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,29,1,7,2,6,4,30,1,7,1,30,1,13,1,30,1,6,3,13,1,11,1,16,1,17,3,16,2,17,1,16,1,11,1,9,3,10,1,9,2,8,1,13,2,8,1,13,1,8,3,13,1,7,1,13,2,6,1,13,1,6,1,13,6,11,1,9,1,10,1,17,2,11,1,9,2,8,1,13,4,17,2,11,1,9,1,10,1,9,2,13,1,8,1,9,1,8,1,13,5,8,1,13,3,7,1,13,2,7,1,13,3,6,2,13,1,29,1,13,5,6,1,13,2,6,2,13,2,6,1,7,4,6,1,29,1,6,1,13,1,6,3,29,1,13,1,29,2,7,1,6,1,30,2,29,2,6,2,30,1,29,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,2,30,1,7,1,6,2,30,1,6,1,13,1,30,1,6,3,29,5,30,2,29,1,30,2,29,1,30,3,29,2,30,2,6,1,28,1,6,1,28,1,30,2,28,1,29,1,6,1,30,4,6,1,7,1,6,1,8,1,9,1,13,4,9,1,17,1,9,1,6,1,8,1,9,2,11,1,16,1,17,1,12,1,9,2,13,3,7,1,30,2,28,1,6,1,30,1,29,1,6,1,30,1,7,1,29,1,30,2,29,2,30,4,6,5,13,1,6,1,28,1,30,3,6,1,29,1,30,1,6,1,13,1,7,1,6,2,7,1,30,1,28,15,17,2,9,1,6,1,13,1,8,1,30,1,6,1,30,1,28,4,30,1,28,10,30,1,13,3,8,2,9,1,17,1,30,1,28,6,6,1,8,1,13,1,30,1,28,42,7,1,13,2,28,3,9,1,17,1,8,1,30,1,28,3,30,2,6,2,30,1,17,3,6,1,28,5,8,1,13,1,6,1,28,4,}, {29,1,28,45,30,1,28,6,6,1,17,3,13,1,29,1,28,1,29,1,30,1,7,1,12,1,9,1,8,1,6,2,9,1,8,1,12,1,17,2,16,1,17,1,16,1,11,1,16,1,9,1,13,1,6,1,28,6,8,1,10,1,11,1,30,1,6,2,13,1,30,1,13,1,12,1,17,4,16,1,10,1,8,1,13,2,9,1,8,1,9,1,16,1,17,2,11,1,13,2,6,1,7,1,13,1,24,1,9,1,28,38,6,1,9,2,10,1,11,1,29,1,28,1,6,1,28,1,6,1,13,1,30,1,8,1,17,6,16,5,12,1,9,1,17,1,8,1,11,1,16,1,10,1,24,1,9,2,13,1,9,1,13,1,24,1,9,2,17,1,11,1,17,3,6,1,28,16,13,1,12,1,17,5,12,1,17,2,12,2,24,2,25,1,8,1,24,1,25,1,8,1,25,1,27,2,25,2,8,2,25,4,26,1,27,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,7,1,8,1,25,1,8,1,24,2,10,1,12,1,17,2,12,2,17,1,12,2,9,3,12,1,17,7,12,1,11,1,9,2,16,1,11,1,9,1,10,1,8,1,11,1,8,2,13,1,7,1,8,1,13,1,7,1,13,1,7,2,6,2,30,1,29,1,30,1,7,1,6,1,13,4,8,2,24,2,12,1,8,1,24,1,10,1,24,1,7,1,9,1,8,2,24,1,8,1,9,1,7,1,13,2,6,1,7,1,6,3,30,1,6,1,30,1,6,2,7,1,6,1,30,1,6,2,13,2,7,1,13,2,24,1,13,3,8,1,13,2,7,1,13,1,8,1,13,1,7,1,13,2,7,1,13,2,7,2,13,4,8,1,13,2,8,4,9,1,10,1,9,1,8,1,9,1,13,2,8,1,9,1,13,1,8,1,13,1,9,1,8,1,24,1,9,1,10,1,9,1,10,1,9,1,10,2,8,1,9,1,13,1,11,1,13,1,11,1,9,1,13,1,8,3,10,1,9,1,13,1,9,1,8,1,10,1,24,1,8,1,9,1,8,1,12,1,8,1,9,2,8,2,10,1,8,1,13,2,24,1,9,1,8,2,9,1,24,1,13,2,8,1,6,1,8,1,24,1,13,2,7,1,13,1,6,1,13,1,7,2,13,1,7,1,6,1,7,1,30,1,7,2,13,1,6,4,13,1,6,1,13,1,6,3,29,1,6,1,30,1,29,3,6,1,29,1,6,1,28,1,6,2,30,1,6,1,29,1,30,1,6,1,29,1,6,12,29,1,6,2,30,1,7,1,6,2,29,2,7,1,29,2,7,1,13,1,6,1,7,1,6,1,30,1,6,1,29,1,6,1,30,4,6,3,29,1,13,1,29,1,7,1,6,3,30,1,7,1,29,1,30,1,29,2,30,1,29,1,7,1,8,1,7,3,6,1,13,1,6,1,13,1,7,1,8,1,13,1,9,5,17,1,11,1,17,15,11,1,10,1,9,1,13,2,8,1,13,1,8,1,6,1,13,7,8,1,13,3,8,1,11,2,17,6,12,1,17,3,11,1,17,3,12,1,11,1,12,1,11,1,12,2,11,1,17,1,12,1,17,1,12,1,10,1,17,1,10,1,17,1,10,1,12,2,11,2,17,3,11,1,10,2,17,1,11,2,17,1,12,1,17,1,12,1,11,2,12,1,9,1,12,2,11,1,10,1,12,1,10,1,8,1,9,3,17,1,9,3,12,1,9,1,11,2,9,1,10,1,9,1,10,1,17,1,9,1,11,1,9,1,11,1,10,1,8,1,11,1,9,2,11,1,9,1,11,2,17,3,11,1,8,1,9,3,8,1,6,1,13,1,6,1,8,1,7,1,13,1,7,1,6,2,8,1,13,1,6,1,7,2,8,1,13,1,6,1,13,3,7,1,6,3,30,1,6,1,29,1,7,1,13,1,8,1,10,2,8,1,11,2,17,2,11,1,10,1,12,1,10,1,12,1,17,2,10,1,17,1,11,1,17,1,11,1,10,1,11,1,17,2,12,1,10,1,11,1,12,1,11,1,12,1,17,1,10,1,9,1,11,1,9,3,10,1,11,1,17,1,10,2,12,2,9,1,10,1,11,2,17,1,10,1,17,2,10,1,12,1,11,1,12,1,17,1,10,1,9,2,17,1,9,1,17,2,12,1,17,1,11,1,17,8,12,1,17,3,11,1,17,2,11,1,12,1,17,64,7,1,13,1,30,1,13,1,8,1,28,1,6,1,30,1,13,1,6,2,17,16,12,1,11,1,17,1,9,3,10,1,9,1,8,1,24,1,8,3,7,1,24,1,13,1,8,1,13,1,8,1,13,2,8,1,24,1,8,1,24,1,8,1,9,1,8,1,13,1,24,1,13,2,8,1,9,1,13,1,29,1,28,2,30,1,28,4,30,2,28,7,29,1,6,2,13,1,6,1,30,1,9,1,13,1,30,1,6,1,30,1,6,1,30,2,6,1,28,1,30,2,28,1,13,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,6,1,28,1,29,1,30,1,28,1,30,2,6,1,30,1,28,5,30,3,6,1,28,1,6,1,30,2,28,1,30,1,28,4,29,1,28,2,30,4,13,2,6,2,30,2,28,1,30,2,13,2,28,2,30,4,28,1,30,2,28,2,30,1,28,1,6,1,28,3,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,2,28,2,30,2,28,1,30,7,28,1,30,1,6,1,30,3,28,1,30,3,6,1,28,1,30,2,29,1,13,1,6,1,30,1,28,1,30,5,28,1,30,1,6,1,30,8,28,3,30,1,28,2,30,1,28,1,30,1,28,3,30,7,28,6,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,9,30,1,28,1,6,1,8,1,7,1,13,1,6,1,13,3,6,4,30,1,16,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,3,6,1,30,1,6,1,29,1,30,2,28,1,30,1,28,3,30,1,28,6,30,1,28,2,10,1,13,2,6,1,28,11,30,1,28,14,30,1,28,7,6,1,28,18,30,2,6,1,30,1,6,1,28,1,30,1,28,1,6,1,30,1,6,1,13,1,30,1,28,1,30,3,28,2,30,3,28,1,29,1,28,1,30,1,28,2,13,1,28,1,30,1,28,4,6,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,4,6,2,13,1,30,1,28,2,30,1,28,6,30,1,28,18,30,2,28,1,30,1,28,9,30,3,28,9,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,2,6,1,28,11,30,1,28,1,6,1,28,1,30,3,28,8,30,1,28,1,30,3,28,3,30,1,28,1,30,1,6,2,30,2,29,1,6,1,13,2,30,1,28,10,30,1,28,3,30,1,6,1,7,1,28,3,30,2,28,4,30,1,29,1,28,1,30,1,28,9,30,2,28,4,30,1,13,2,9,3,8,1,10,1,17,1,9,2,10,1,9,2,10,2,11,1,10,1,12,2,11,1,9,1,8,1,11,1,10,1,11,1,9,2,10,2,11,1,9,1,11,1,10,1,12,2,10,1,11,1,17,5,16,1,10,1,11,5,16,1,17,7,11,1,10,1,8,1,13,1,8,1,7,1,27,1,30,1,29,1,30,1,29,1,30,1,28,1,29,1,28,1,30,2,6,1,28,8,9,3,8,1,9,2,16,1,11,1,17,1,16,1,17,11,11,1,17,1,11,1,9,1,8,1,6,1,13,9,7,1,13,3,6,1,8,1,13,2,8,1,13,2,9,1,8,1,9,2,13,3,7,1,6,1,13,1,6,3,13,6,7,1,8,2,13,1,6,1,7,2,8,1,13,1,7,1,13,1,6,1,7,1,13,1,8,1,13,2,6,1,7,1,13,1,9,1,13,2,6,1,13,2,30,1,13,1,6,1,7,1,13,1,6,1,13,1,6,2,13,2,30,1,13,1,6,3,7,1,30,1,13,1,6,2,30,1,6,1,29,1,13,1,30,2,28,3,29,1,13,2,28,2,30,1,28,2,30,3,8,2,6,1,7,1,9,2,13,3,9,4,13,1,8,1,10,1,9,2,12,1,9,1,13,1,9,5,11,1,10,1,12,1,9,2,13,1,9,1,11,1,9,2,11,2,9,1,16,1,11,1,9,1,11,1,17,1,8,1,9,1,10,2,9,1,11,1,8,2,9,1,8,1,9,1,8,1,13,1,12,1,13,1,10,1,8,1,12,1,8,1,9,1,13,1,9,1,13,1,8,1,13,2,9,1,8,1,9,1,8,3,9,3,13,2,9,10,17,33,16,1,17,1,11,1,9,2,8,1,9,2,13,1,8,1,13,1,7,1,13,2,6,2,13,1,6,2,13,1,29,1,6,1,13,1,6,5,13,1,6,1,13,1,6,1,13,1,6,1,7,1,13,3,6,1,13,1,30,1,6,3,13,1,6,1,13,1,7,1,13,5,6,1,13,3,6,1,9,1,8,1,9,1,13,1,8,1,9,3,11,1,24,2,7,1,6,1,28,1,29,5,28,1,30,1,28,7,30,1,28,29,6,1,9,1,30,1,28,8,6,1,28,1,30,1,28,1,30,1,28,2,30,5,13,1,6,1,28,1,6,1,28,1,30,2,28,1,30,1,6,2,30,1,6,3,29,1,7,2,8,1,13,1,8,2,7,1,6,4,13,1,7,1,6,4,28,1,13,2,8,1,9,2,17,1,16,1,17,2,16,1,17,1,16,1,10,1,11,1,9,1,11,1,9,7,13,2,8,1,6,1,13,3,6,1,7,1,13,1,6,1,13,1,6,1,13,2,8,1,7,1,13,1,9,2,8,1,11,2,9,1,8,1,13,1,8,1,13,2,8,1,7,1,13,1,8,1,9,1,11,2,9,3,13,2,8,1,13,1,8,1,13,6,7,1,13,7,7,1,6,2,8,1,13,1,8,1,6,1,13,1,7,1,13,1,8,1,13,3,6,1,13,1,6,1,7,4,30,1,7,3,6,1,7,2,29,1,6,8,13,1,30,1,6,1,29,1,30,1,13,1,6,1,30,2,6,1,29,1,30,1,29,1,28,1,29,1,6,1,30,1,29,2,6,1,30,1,6,2,30,1,6,1,30,7,29,1,30,1,29,1,30,2,29,1,28,1,29,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,6,2,13,1,7,1,30,1,9,2,30,1,13,4,7,1,13,1,8,1,13,2,9,1,8,1,13,2,30,1,6,1,7,1,6,1,29,1,6,3,30,1,6,2,30,2,28,1,6,1,29,1,30,9,6,2,30,1,6,2,30,3,28,1,30,1,6,4,29,1,6,4,30,1,28,16,17,2,10,1,8,1,13,1,29,1,7,1,29,1,28,4,6,1,30,1,28,10,6,1,13,1,7,1,8,1,9,2,8,1,17,1,13,1,28,6,6,1,13,1,8,1,29,1,28,42,7,1,13,1,28,2,30,1,28,1,8,1,17,1,12,1,7,1,30,1,28,2,6,5,11,1,17,2,13,1,28,6,9,1,30,1,28,4,}, {28,42,29,1,28,6,30,1,28,3,8,1,9,1,17,2,7,1,13,1,6,1,30,1,28,1,8,1,17,1,8,1,13,1,6,1,7,1,8,1,9,2,17,3,16,1,17,1,11,1,16,1,9,1,8,1,29,1,30,1,28,5,13,1,9,1,13,2,30,1,6,2,13,2,9,1,17,3,11,1,17,1,9,1,8,1,24,1,8,3,11,1,17,3,8,1,24,1,13,2,30,1,13,1,8,2,28,39,13,1,11,1,8,1,10,1,13,1,30,1,28,2,29,1,13,1,30,1,9,1,11,1,17,3,16,1,17,3,11,1,9,2,17,2,10,1,8,1,12,2,9,2,8,3,13,1,8,1,9,1,8,1,11,1,17,1,12,1,16,1,17,2,13,1,28,16,13,1,10,1,12,1,17,8,15,1,24,1,15,1,26,1,25,1,8,3,25,3,27,1,25,1,24,1,25,1,24,2,25,4,6,2,30,2,28,1,30,1,28,3,30,1,13,1,6,1,25,1,8,1,24,1,12,6,17,1,12,1,17,1,9,1,10,1,8,1,9,1,17,5,12,1,17,3,9,1,17,1,10,1,12,1,11,1,9,2,13,1,8,2,13,1,6,2,7,1,6,1,13,1,7,1,6,1,7,1,30,1,6,1,7,1,6,1,13,1,7,1,13,1,8,4,24,1,10,1,24,1,12,2,8,1,24,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,6,1,13,1,7,1,13,1,29,1,6,3,13,1,30,2,13,1,6,4,13,1,6,1,29,1,30,1,13,1,7,1,6,1,7,1,8,1,6,1,13,1,7,1,13,2,6,1,13,1,24,1,8,1,13,1,24,1,13,1,7,1,13,3,8,1,13,3,9,1,13,1,9,1,13,1,9,1,8,2,13,1,9,1,8,2,9,5,13,1,10,2,8,2,9,2,11,1,8,1,9,4,24,1,9,2,12,1,8,2,11,1,10,1,8,1,11,1,9,1,11,1,9,1,13,1,12,1,8,1,9,1,8,1,24,1,13,1,9,1,24,1,13,1,24,1,10,1,9,1,10,2,9,2,24,2,10,1,9,1,24,1,9,2,13,1,8,3,13,1,24,2,13,1,7,1,13,1,8,1,13,3,6,1,13,1,7,1,13,1,29,1,13,1,6,1,13,1,7,2,13,2,6,1,30,1,6,1,13,1,7,1,6,1,29,1,13,2,6,1,29,1,6,1,30,1,29,1,28,1,7,1,6,1,30,1,28,1,6,1,29,1,30,2,29,1,30,1,29,1,30,2,6,2,29,1,30,1,6,1,30,1,6,1,30,1,6,3,30,3,7,1,13,1,6,1,7,1,6,4,7,1,6,1,30,2,6,2,29,1,6,2,29,2,6,3,7,1,6,1,7,1,13,1,6,2,29,1,6,1,30,1,7,1,6,4,7,1,13,1,7,1,13,3,8,1,13,1,9,1,8,1,9,1,10,1,11,1,12,1,17,1,11,1,10,1,17,2,12,1,16,1,11,4,17,1,11,1,9,1,12,1,9,1,11,1,12,1,9,3,8,2,13,1,9,2,6,1,13,14,9,2,11,2,17,7,12,1,17,4,9,1,12,2,10,1,17,1,12,1,9,1,12,2,9,1,17,1,11,2,9,1,11,2,10,1,17,1,11,1,17,1,12,1,11,3,10,1,11,3,9,1,12,1,17,1,10,1,11,1,10,1,8,1,17,1,10,1,12,1,17,1,11,1,12,1,11,2,12,1,8,1,10,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,9,1,8,1,9,1,11,1,9,1,12,2,9,4,10,1,11,1,9,1,11,1,9,3,8,1,11,1,9,2,11,2,9,1,8,1,9,1,10,1,8,1,13,1,8,4,13,2,7,1,13,2,6,2,8,1,13,2,8,1,13,2,29,1,8,1,6,1,7,3,6,5,29,1,8,1,13,1,10,1,12,1,11,1,12,1,17,1,10,1,17,1,12,1,17,4,12,2,11,1,17,2,12,2,11,1,12,1,17,3,10,2,11,1,12,1,10,1,11,2,9,1,12,1,8,1,9,2,10,2,11,1,12,1,8,1,10,1,12,1,17,1,9,1,12,1,11,1,12,1,11,1,12,1,11,2,10,1,17,1,12,2,17,1,9,2,12,2,17,1,11,1,12,1,11,1,10,1,17,5,12,1,17,9,13,1,9,1,17,64,12,1,13,2,6,1,13,2,29,1,30,3,6,1,8,1,17,11,12,2,17,1,12,2,17,1,12,1,9,2,10,1,11,1,9,1,11,1,9,1,13,1,9,2,8,2,13,2,8,1,24,1,8,1,24,1,13,5,8,1,13,2,8,1,24,1,13,1,8,2,9,1,8,1,29,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,1,29,1,13,1,6,1,30,2,28,2,6,1,8,1,6,2,30,2,29,1,30,1,28,1,30,1,28,4,30,1,6,1,30,1,28,1,30,1,28,1,30,4,28,2,30,1,28,2,30,3,28,1,30,3,28,4,30,3,28,3,6,1,28,1,30,1,28,2,29,2,28,3,30,1,28,1,30,1,28,2,30,3,6,1,7,1,30,1,28,1,13,1,30,2,28,1,30,6,6,1,30,1,6,1,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,3,29,1,6,1,30,1,28,1,30,4,28,1,29,1,30,2,28,2,30,5,28,1,6,1,30,1,28,2,30,5,6,1,8,1,6,2,29,1,30,1,6,1,30,1,6,1,28,1,6,1,29,1,30,2,6,1,30,3,28,1,30,1,28,1,30,2,28,5,30,1,28,1,30,1,28,1,30,1,6,1,30,2,28,2,30,1,28,2,30,1,28,6,30,4,28,2,30,2,28,1,30,3,28,2,30,1,28,8,30,1,29,1,28,1,6,1,9,1,8,1,13,1,8,1,6,1,13,1,6,2,13,2,30,1,28,2,8,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,8,30,2,28,2,30,1,6,2,28,1,30,2,28,3,30,2,28,4,30,1,28,3,9,1,13,2,30,1,28,4,30,2,28,5,6,1,28,4,30,1,28,2,30,1,28,2,30,1,28,7,30,1,28,3,30,1,28,16,30,2,28,1,30,1,28,2,30,2,6,1,30,1,13,1,30,2,6,1,30,1,28,2,30,2,28,3,30,2,28,1,13,1,28,4,13,1,28,2,30,3,28,3,30,1,28,2,30,1,28,2,30,1,29,1,28,3,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,6,30,2,28,1,30,1,6,1,13,1,6,1,28,7,30,1,28,8,30,1,28,9,30,1,28,1,30,3,28,12,29,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,3,28,2,30,1,28,2,30,3,28,4,30,3,28,11,30,3,28,4,30,1,28,1,30,3,28,5,30,1,28,1,30,2,6,1,30,1,28,1,6,1,30,1,13,1,6,3,30,1,28,7,30,1,28,6,30,1,6,1,30,2,28,3,30,1,28,2,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,3,30,1,28,2,6,1,13,1,8,1,9,2,8,1,10,1,11,1,9,1,8,1,13,1,9,1,8,1,11,1,17,1,10,1,17,3,11,1,9,1,10,1,8,1,9,1,10,1,8,1,11,2,10,1,9,1,10,1,9,2,10,1,11,1,17,2,11,1,17,6,16,2,17,1,11,1,17,10,9,2,8,1,13,2,6,1,29,1,30,1,29,3,30,1,29,2,28,1,29,1,6,1,29,1,28,7,6,1,9,3,8,1,11,1,10,1,11,2,16,1,17,10,11,1,16,1,17,2,9,1,13,2,29,1,13,3,8,1,9,1,13,3,6,1,13,4,8,1,13,2,9,1,13,1,8,1,9,1,13,1,9,1,13,6,7,1,13,2,6,1,7,1,13,3,8,1,13,1,8,1,13,2,7,1,13,4,8,1,13,2,6,1,9,1,13,2,7,2,13,1,6,1,13,1,9,1,13,5,7,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,30,1,7,1,6,1,13,1,6,5,7,1,6,4,30,1,7,1,30,2,6,1,30,1,28,4,7,1,28,7,30,1,29,1,9,1,8,2,9,1,8,1,13,4,7,1,9,1,13,2,8,1,9,3,10,2,9,3,10,1,9,2,10,1,9,1,11,1,8,1,9,4,10,1,8,1,10,1,8,1,11,1,8,1,9,7,11,2,8,2,9,2,11,1,8,1,10,1,8,1,13,1,9,1,13,5,10,1,9,1,8,1,9,1,8,1,9,1,13,1,11,1,8,2,9,1,13,1,8,1,13,3,9,3,13,1,9,6,10,1,16,1,17,32,16,1,11,1,12,1,9,3,8,1,9,2,7,1,13,1,6,1,13,3,6,2,7,1,13,2,6,2,7,1,6,2,13,2,6,3,13,2,6,4,29,1,30,1,6,3,13,1,7,1,6,1,13,1,30,1,6,1,13,1,7,1,13,2,6,1,30,1,8,1,13,4,9,1,8,1,13,1,8,1,9,1,13,1,8,3,11,1,17,1,24,1,7,1,6,1,30,1,29,1,30,1,29,3,28,1,29,2,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,24,9,1,13,1,28,5,30,1,6,2,30,1,28,1,6,1,30,6,28,1,30,2,6,1,30,1,28,1,30,2,28,1,30,2,29,1,28,1,30,1,6,5,13,1,6,1,13,2,7,1,13,1,6,1,13,2,6,2,13,3,6,1,13,1,6,1,13,2,8,1,11,1,17,4,16,1,17,3,10,2,9,1,16,1,10,2,9,4,8,1,13,1,8,1,13,1,8,1,13,2,7,1,13,4,6,1,13,2,7,2,13,1,8,1,13,3,9,2,17,2,16,1,9,2,13,4,29,1,13,1,11,2,9,1,11,1,10,1,9,3,10,1,13,1,8,1,13,2,9,1,13,7,7,1,13,1,6,1,8,1,29,1,13,1,6,1,13,1,6,2,8,1,6,2,13,1,7,1,13,1,7,1,6,1,13,3,7,1,13,1,29,1,6,1,13,1,7,1,6,2,13,1,6,1,13,3,6,1,7,2,6,3,13,1,6,5,29,1,6,3,30,2,29,1,7,1,6,1,28,1,29,1,30,1,6,4,29,1,6,2,29,1,6,1,30,1,29,1,6,1,30,1,6,2,29,1,28,1,6,2,30,1,28,1,30,1,28,3,30,2,28,1,30,2,6,1,30,1,28,3,30,1,28,1,30,2,13,1,30,1,6,1,7,1,13,3,6,1,13,1,6,1,8,1,13,4,9,1,13,2,7,1,6,2,30,1,28,1,29,1,6,1,30,1,6,2,28,1,30,1,6,1,30,2,6,1,30,2,6,1,29,1,30,1,28,1,30,1,29,1,30,1,6,1,30,3,28,1,30,1,6,1,30,2,28,3,30,1,6,1,28,1,30,1,29,1,30,2,6,1,28,1,6,1,28,16,17,2,9,1,8,1,9,1,30,3,28,4,13,1,7,1,28,7,7,1,28,1,30,1,7,1,6,1,8,2,9,2,16,1,17,1,13,1,28,6,9,1,13,1,9,1,30,1,28,41,30,1,7,1,9,1,13,1,28,2,30,1,9,1,17,2,6,1,28,5,6,2,13,1,11,1,17,2,28,6,13,1,29,1,30,1,28,4,}, {7,1,28,29,30,1,28,13,29,1,28,5,6,1,28,2,13,1,9,1,17,2,9,1,7,1,6,1,30,2,6,1,12,1,10,1,13,1,6,1,30,1,13,1,8,1,17,1,11,1,17,1,16,1,17,2,11,2,9,1,13,1,6,1,28,6,13,1,12,1,9,1,7,1,30,1,28,1,6,1,13,2,11,1,17,4,9,2,8,1,13,2,8,1,9,2,10,1,17,2,8,1,13,1,29,1,6,1,30,1,6,1,13,1,8,1,28,38,13,1,9,4,8,1,30,1,28,2,30,2,6,1,13,1,17,5,16,1,17,2,9,1,11,1,9,1,16,1,9,1,10,1,9,1,11,1,9,3,13,5,9,1,8,1,9,1,12,1,16,1,17,3,13,1,28,16,6,1,17,9,12,2,24,3,8,4,25,3,27,1,25,2,8,1,26,2,8,1,25,3,27,1,29,3,28,4,30,2,6,1,13,1,6,1,24,2,10,1,12,1,10,2,17,2,9,2,8,1,24,1,9,2,8,1,12,1,17,9,16,1,11,3,9,1,8,2,13,1,8,1,13,2,7,2,29,1,7,1,6,1,29,1,28,1,6,1,29,1,6,1,7,1,13,1,6,1,7,1,24,3,10,1,12,1,9,1,10,1,8,1,24,2,8,1,24,1,6,1,13,2,9,1,13,4,7,1,6,1,13,2,6,6,29,1,7,1,6,2,7,1,13,3,7,1,6,1,13,1,6,1,13,2,6,1,13,1,7,1,13,2,6,1,13,1,24,2,13,3,9,1,8,2,13,1,8,1,13,1,9,1,13,2,24,1,9,1,8,1,13,1,9,1,8,1,9,1,10,1,9,5,8,2,9,1,13,1,9,2,13,1,8,1,9,1,10,2,9,3,10,1,9,1,10,1,24,1,10,1,11,1,8,1,9,3,24,6,9,1,13,1,10,1,9,1,8,1,9,1,8,2,24,1,9,1,8,4,13,1,8,3,9,1,13,1,10,1,24,1,8,2,24,1,8,1,24,1,13,1,8,2,6,1,30,1,13,2,6,1,7,1,13,1,6,1,7,4,6,1,13,2,6,1,7,1,29,1,7,2,13,2,6,1,7,1,13,1,6,3,30,1,29,2,13,1,29,1,28,1,30,1,28,1,29,1,30,1,6,1,30,10,29,1,30,2,6,2,28,1,6,3,13,1,7,1,13,1,29,1,6,1,29,1,30,1,6,1,7,1,30,1,6,1,29,1,6,2,30,1,29,2,6,1,29,1,7,1,29,1,6,3,7,1,6,1,13,1,6,1,13,1,6,1,29,1,6,1,7,1,29,1,6,1,13,1,8,2,10,1,9,1,11,1,17,1,10,2,17,1,12,1,17,2,12,1,17,5,9,1,13,1,11,1,13,1,9,1,11,1,9,1,13,6,6,1,13,1,8,1,13,1,7,1,13,14,7,1,13,6,11,1,12,1,17,12,10,1,12,2,17,1,12,2,17,1,11,2,10,2,11,1,12,2,11,2,9,1,12,1,17,1,12,2,17,2,12,1,17,1,11,2,12,1,11,1,12,1,9,1,11,1,10,1,11,2,9,1,11,1,9,2,17,1,9,1,12,1,11,1,12,1,13,1,9,1,11,1,9,2,8,1,11,1,10,1,11,1,9,3,11,1,17,1,9,2,11,1,9,1,12,1,9,1,12,1,10,1,9,2,10,1,11,1,10,1,9,1,10,3,9,1,12,1,9,2,8,1,11,1,9,1,10,1,8,2,11,1,13,2,24,1,7,2,6,1,7,2,13,1,7,2,13,1,6,1,13,1,6,1,29,1,6,4,7,2,30,1,6,3,7,1,9,3,17,1,9,1,11,1,17,1,11,2,17,1,11,1,10,1,12,1,10,1,11,1,17,1,12,1,11,1,9,1,11,1,12,1,9,1,10,1,17,1,12,1,11,2,9,1,11,2,10,1,9,3,12,1,9,1,10,2,11,1,9,1,10,1,9,1,11,2,12,1,9,1,12,1,9,1,8,1,10,2,17,1,12,1,11,2,9,1,17,1,11,1,9,1,17,1,12,1,17,1,11,1,10,1,11,1,17,3,12,1,10,1,12,1,17,5,12,1,17,5,11,1,13,1,9,1,17,65,13,2,7,1,13,1,6,1,30,2,6,3,9,1,17,1,12,1,17,6,12,1,17,3,12,1,17,3,12,1,9,1,12,1,11,1,9,1,11,2,24,1,11,1,10,1,9,1,8,2,24,1,13,1,24,1,8,2,13,2,8,2,13,1,8,1,13,1,9,2,13,3,9,2,13,1,8,1,11,1,28,2,30,3,28,2,30,1,28,1,30,5,13,1,30,1,6,1,30,1,28,1,29,1,30,1,28,1,6,1,7,1,6,2,30,1,28,1,30,4,28,5,6,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,1,30,1,6,1,28,1,30,3,28,3,30,2,28,6,30,1,28,1,30,5,28,1,30,1,13,1,28,1,30,3,6,1,30,2,28,1,30,2,28,2,30,1,28,1,30,7,28,2,30,2,28,2,6,1,28,1,30,1,6,1,28,1,6,1,30,4,29,1,30,3,28,2,30,1,28,2,30,1,6,1,30,3,28,1,30,3,28,1,30,1,13,2,6,1,28,1,30,2,6,1,30,4,6,1,29,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,4,30,1,28,3,6,1,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,5,30,2,28,3,30,3,28,1,30,2,28,1,30,1,28,1,29,1,30,1,28,3,30,1,28,1,30,1,28,4,30,1,13,8,6,1,29,1,28,1,6,1,28,2,30,1,6,1,28,1,30,1,28,4,30,1,28,9,30,1,28,2,30,1,7,1,6,1,28,2,30,3,28,5,30,1,28,1,29,1,28,2,13,2,6,1,13,1,28,13,30,1,28,11,29,1,30,1,28,3,30,1,28,3,30,2,28,21,30,1,28,1,30,3,6,1,28,1,30,1,29,1,6,2,30,2,28,2,30,4,6,1,30,3,28,2,6,1,28,13,30,1,28,1,6,1,28,6,30,1,28,2,30,1,28,3,30,3,28,13,30,1,7,1,30,1,28,11,30,1,28,21,30,3,28,2,30,1,28,2,6,2,28,5,30,1,6,1,30,2,28,3,30,1,28,2,6,1,28,4,30,1,28,1,30,1,28,1,30,3,28,1,30,3,28,1,30,1,28,3,30,2,28,1,30,1,28,3,6,1,30,1,6,1,28,1,30,1,28,4,30,2,28,5,30,1,28,1,29,1,28,1,30,2,6,1,28,2,30,1,28,2,6,1,13,1,30,1,28,2,30,1,28,4,30,1,28,2,30,2,28,2,30,1,28,1,30,4,28,3,30,1,28,1,6,1,30,2,28,6,30,1,28,3,30,1,28,1,30,2,28,1,30,1,13,1,9,1,8,1,10,1,9,5,8,1,9,1,8,1,9,2,10,1,11,1,12,1,17,1,10,1,9,1,10,1,9,1,8,1,13,1,8,1,9,2,10,2,11,1,9,2,10,1,17,1,10,1,11,1,17,1,12,1,10,1,11,1,17,4,12,1,17,14,11,2,10,1,24,1,13,1,26,1,30,1,29,4,30,1,29,1,30,1,28,1,29,3,28,7,6,1,9,4,10,1,9,1,11,3,17,2,16,1,17,7,11,1,16,1,17,1,8,1,9,1,13,1,7,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,7,1,8,1,7,1,8,2,13,4,8,1,13,1,9,1,13,5,6,1,13,3,6,3,13,3,9,1,13,10,6,1,13,2,8,1,13,2,8,1,13,2,6,1,8,1,6,1,13,3,7,1,13,1,8,1,13,2,7,1,13,1,6,2,29,1,13,1,6,5,13,1,7,1,6,3,13,1,6,1,29,2,30,1,7,1,30,1,6,1,30,1,28,3,30,1,28,1,6,1,30,1,28,3,6,1,30,1,29,1,13,1,9,3,8,1,13,3,8,1,9,1,13,3,9,2,8,2,9,3,10,1,12,1,9,3,12,1,13,1,9,1,11,1,10,1,9,2,8,1,9,1,13,2,10,1,9,1,8,2,9,2,10,1,8,1,9,1,8,1,13,1,9,1,13,1,11,1,9,2,13,2,10,1,13,1,9,2,13,1,9,1,8,6,13,1,9,1,8,1,9,1,8,3,13,1,9,4,8,1,9,1,8,1,9,1,8,1,9,3,10,2,9,1,11,4,17,32,16,1,10,1,11,1,9,2,11,1,9,1,8,1,9,2,13,4,30,1,13,2,6,3,30,1,6,4,13,1,30,1,6,1,13,2,6,1,13,3,6,2,13,1,6,3,7,1,6,3,13,1,6,1,13,2,6,1,13,2,6,2,13,1,7,1,8,1,7,1,8,1,13,1,8,2,13,2,9,1,11,1,7,1,10,1,17,1,10,1,8,1,6,1,30,2,29,1,30,1,29,1,27,1,30,1,28,3,30,1,28,16,30,1,28,9,30,1,28,8,6,2,30,1,28,4,30,3,6,2,28,2,30,1,28,2,29,1,30,1,28,1,30,1,6,1,13,1,6,1,30,1,28,2,30,1,28,1,6,1,29,1,6,3,7,1,6,1,8,1,13,1,7,1,13,1,6,1,13,5,6,1,13,3,7,1,13,2,8,1,13,1,8,1,13,1,16,1,17,1,16,1,17,1,16,2,17,3,9,2,11,1,9,1,10,1,11,1,9,1,13,1,9,1,8,1,9,2,8,1,9,1,8,1,7,1,6,1,13,5,7,1,13,6,6,1,9,1,13,3,17,1,16,2,9,2,8,2,9,1,6,1,13,2,7,1,9,1,16,1,11,2,10,1,11,1,9,4,8,5,13,12,8,1,13,2,6,1,13,1,6,2,13,2,7,1,6,2,8,1,13,2,7,1,6,1,13,2,6,2,13,1,29,1,13,1,6,1,13,1,6,1,7,2,6,1,7,1,6,1,13,1,6,2,7,1,6,1,13,1,29,1,13,1,29,1,6,1,29,1,6,1,29,1,6,1,29,1,30,2,29,1,6,1,28,1,30,1,29,1,6,5,29,1,30,3,29,2,6,1,30,1,29,1,30,2,28,1,30,6,28,1,30,2,29,1,30,3,28,1,30,1,6,3,30,1,28,1,30,1,6,1,8,3,13,2,6,2,8,1,13,3,8,1,13,3,29,2,6,1,30,2,28,1,6,1,28,1,30,1,6,1,13,1,6,1,29,1,30,3,29,1,30,1,6,1,30,4,28,1,30,4,28,1,30,2,6,1,30,1,28,1,30,1,28,2,30,2,6,1,30,1,28,1,30,3,28,1,6,1,30,2,28,14,29,1,17,2,11,1,9,1,13,1,6,1,13,1,28,1,30,1,28,2,30,1,6,1,28,8,30,1,28,1,30,1,28,2,8,1,9,3,11,1,17,1,13,1,28,6,9,1,8,2,29,1,28,42,9,1,13,1,30,2,28,2,9,1,17,1,9,1,6,1,28,3,30,1,7,1,13,1,29,1,13,1,11,1,17,1,11,1,28,6,6,1,8,1,30,1,28,4,}, {6,1,28,42,6,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,7,1,9,1,11,1,10,1,11,1,8,1,6,2,29,1,7,1,24,1,15,1,7,1,6,1,7,1,9,2,12,1,16,2,17,2,16,1,17,1,10,1,8,1,13,2,28,6,13,1,8,2,6,1,29,1,6,1,29,1,6,1,13,1,11,1,17,1,16,1,17,2,16,1,9,2,8,1,13,2,12,1,9,1,11,1,16,1,11,1,10,1,13,1,30,1,29,1,28,1,6,1,13,1,24,1,28,38,29,1,13,1,9,2,8,2,28,3,30,1,28,1,6,1,13,1,16,1,17,7,9,2,16,1,17,3,11,2,9,4,8,1,6,1,13,2,8,1,13,1,9,1,11,1,16,1,17,1,16,1,17,1,13,1,28,16,13,1,11,1,17,6,12,1,17,2,24,3,15,1,24,2,25,2,24,1,25,2,24,1,25,2,8,1,24,1,8,3,24,1,25,2,27,2,29,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,8,2,24,3,9,1,12,1,9,1,10,1,12,1,11,1,9,2,8,1,9,2,17,1,12,1,17,4,11,1,17,1,11,3,9,1,12,1,10,2,8,2,13,2,6,1,13,1,7,1,29,1,6,2,30,1,6,1,7,1,6,1,7,1,30,1,6,1,13,1,7,2,13,1,9,2,12,2,10,1,8,2,6,1,8,1,13,1,7,1,13,2,29,1,8,2,13,1,24,1,7,1,13,1,6,1,13,1,7,1,30,1,6,4,29,1,6,4,29,1,6,2,7,1,6,1,13,2,7,1,13,1,6,1,8,2,13,1,7,1,13,1,6,1,8,2,9,1,13,1,8,1,13,1,8,1,6,1,13,1,8,1,9,1,8,2,13,1,8,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,10,1,13,2,8,1,9,2,8,1,9,7,10,1,8,1,11,1,24,1,11,1,9,2,24,1,10,1,12,1,24,1,9,3,8,2,10,1,12,1,10,1,9,1,8,1,10,1,9,1,13,1,8,1,13,2,9,2,24,1,9,1,8,1,13,1,9,2,8,1,10,1,24,1,13,1,9,2,13,1,8,1,13,1,8,3,10,1,13,1,24,1,8,3,13,2,7,1,6,1,7,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,7,1,6,2,7,2,6,4,13,1,30,2,7,1,6,1,29,1,13,1,29,1,6,1,29,1,13,1,6,2,30,1,7,1,30,1,29,3,30,2,29,1,30,5,6,1,28,1,30,3,6,1,29,1,6,1,7,1,13,2,7,1,29,3,6,3,30,1,6,1,29,1,30,1,6,1,29,1,6,3,29,1,6,2,7,1,13,1,7,1,13,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,8,1,13,1,9,1,10,2,11,1,12,1,10,1,17,14,13,2,8,1,13,2,8,1,30,1,13,1,6,3,7,1,6,1,13,6,8,1,13,2,6,1,13,3,6,1,13,6,6,1,13,1,7,1,13,2,9,1,11,1,17,10,12,1,10,1,17,1,9,1,11,3,9,1,17,1,12,1,10,2,11,1,12,1,9,2,10,1,13,1,17,1,12,1,17,1,12,1,10,1,17,4,9,1,10,1,11,1,12,1,17,2,12,1,11,2,9,2,12,1,10,1,9,2,10,1,9,1,12,1,11,1,12,1,10,1,13,1,12,1,13,1,9,2,10,1,8,1,9,1,11,1,9,1,10,1,11,1,8,1,9,1,11,1,8,2,9,2,10,1,8,1,11,1,8,2,9,2,8,1,10,1,9,1,8,1,10,1,9,1,8,1,13,1,9,1,13,1,8,1,10,1,9,1,8,2,13,2,7,1,6,1,13,1,30,1,8,1,6,1,7,2,13,1,7,1,6,1,13,1,7,2,6,1,7,1,30,1,13,1,6,5,13,2,11,3,17,1,11,2,12,1,10,1,17,4,12,1,17,1,10,2,12,1,11,2,17,1,9,1,17,1,8,1,17,2,9,1,17,1,11,1,9,1,12,1,17,1,9,1,10,1,11,1,9,3,12,1,9,2,17,1,11,1,12,1,9,1,17,1,9,1,11,1,9,1,10,1,17,1,9,2,11,1,12,1,9,1,10,2,11,1,10,1,12,1,17,1,12,2,17,1,11,1,12,3,9,1,17,12,11,1,8,1,13,1,9,1,17,61,16,1,17,2,14,1,13,1,6,1,13,1,8,1,6,1,29,1,30,1,6,3,17,15,11,1,17,1,12,1,17,2,11,1,10,2,11,1,12,1,8,4,9,1,8,1,24,1,8,2,13,1,8,3,13,1,8,4,13,1,8,1,13,1,24,1,8,1,13,1,9,3,30,1,29,1,30,2,28,1,30,2,28,1,29,1,30,1,6,1,28,1,13,1,6,3,28,1,30,4,28,1,30,1,13,1,7,1,28,1,6,2,30,4,28,3,30,1,28,2,30,1,28,1,30,1,28,3,30,5,28,2,30,1,28,8,30,4,28,4,30,2,28,2,30,1,13,1,28,3,30,1,28,2,30,1,28,1,30,1,29,1,30,1,28,1,30,2,6,1,30,1,6,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,2,28,1,30,3,28,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,5,6,1,30,1,28,1,30,3,28,2,30,2,6,1,28,1,30,1,28,2,30,2,28,1,30,1,13,1,30,7,28,2,30,1,29,1,30,2,29,1,30,1,28,1,30,2,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,3,30,1,28,4,30,2,28,2,30,2,28,2,30,3,28,3,30,1,28,1,30,6,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,7,1,13,1,8,1,13,1,8,2,13,2,6,1,30,1,28,1,30,2,28,1,30,1,28,2,6,1,30,1,28,3,30,1,28,12,30,1,28,2,29,1,6,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,6,1,13,2,28,7,30,1,28,5,30,1,28,6,30,3,28,4,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,5,30,1,28,14,30,1,28,1,30,5,28,2,30,1,28,1,29,1,30,2,28,1,30,1,6,1,28,1,30,3,28,2,6,1,30,1,28,2,13,1,28,3,30,2,28,2,30,1,28,4,30,2,29,1,30,2,28,4,30,1,29,1,28,2,30,1,6,1,30,2,28,5,30,1,28,6,6,1,13,2,30,1,28,8,30,1,28,8,30,1,28,9,30,1,28,1,30,1,28,1,30,1,28,11,30,3,28,2,30,1,6,2,30,2,28,3,30,1,28,1,30,2,28,4,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,6,30,1,28,1,6,1,30,2,28,1,30,2,28,1,30,1,28,3,30,2,28,1,30,1,29,1,28,1,30,3,28,1,30,2,6,1,30,1,6,1,28,1,30,2,6,2,28,4,30,1,28,6,30,2,28,11,30,1,6,1,28,7,30,3,28,2,30,1,28,2,30,2,6,1,8,2,13,1,9,6,8,1,13,1,6,1,9,1,24,1,10,1,9,1,11,2,10,1,9,1,8,3,13,1,8,1,10,1,11,1,9,1,17,1,9,1,11,1,9,2,11,2,9,1,11,1,16,1,17,1,16,1,17,1,11,1,17,16,12,1,11,1,8,2,24,1,8,2,27,2,26,1,27,1,29,2,6,1,30,2,29,2,28,8,13,1,9,3,11,1,8,1,9,1,10,1,9,1,11,1,17,3,16,1,12,1,17,1,16,1,17,3,12,1,11,1,16,1,9,1,8,1,13,1,9,1,13,1,8,2,9,1,8,2,12,1,9,1,13,1,9,1,8,2,11,1,8,2,13,2,9,1,8,1,9,1,8,1,10,1,13,3,8,1,13,1,8,1,13,1,29,1,6,2,13,1,6,1,7,1,6,1,8,1,10,1,8,1,7,1,13,2,6,1,8,1,7,1,13,5,6,1,13,2,8,1,6,1,13,3,7,1,8,1,13,2,7,1,13,4,6,1,13,1,7,2,13,1,29,1,6,1,29,2,7,1,30,1,6,1,29,1,13,1,30,1,6,1,13,1,30,1,28,1,30,1,6,1,30,1,6,2,30,1,6,1,28,5,30,1,28,6,6,2,11,1,9,1,13,2,6,1,7,2,13,3,9,1,13,1,7,1,9,1,13,1,8,2,9,2,8,1,9,3,10,1,17,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,3,8,1,13,1,8,2,9,1,8,1,13,1,9,1,13,2,9,7,13,1,9,1,13,2,9,1,8,1,9,1,13,1,8,1,13,1,9,1,8,1,13,2,11,1,9,2,8,1,9,1,10,1,9,1,13,2,9,1,8,4,9,1,11,1,8,1,9,1,10,1,9,2,11,1,16,1,11,2,9,1,16,1,17,30,11,5,9,4,13,1,11,1,7,1,13,1,6,1,13,3,6,1,13,1,6,3,13,1,6,1,13,1,6,1,13,1,30,1,13,1,30,1,7,1,6,1,13,1,6,2,13,1,6,2,7,2,30,1,6,2,13,1,6,2,13,1,7,2,6,1,13,1,6,1,13,2,7,1,6,1,8,1,13,5,9,2,13,2,9,2,11,1,10,1,8,1,6,1,29,1,28,1,29,5,30,2,28,1,30,1,28,1,6,1,30,1,28,13,30,1,28,18,7,1,6,1,28,5,6,3,30,4,28,2,30,3,6,1,30,1,6,1,9,1,28,2,30,2,28,1,30,2,6,1,29,1,30,1,6,2,13,1,6,1,13,2,6,1,13,2,7,1,13,9,8,1,13,2,9,1,12,1,17,5,16,1,17,1,16,1,11,2,16,1,9,2,11,2,8,1,9,3,13,2,9,1,7,1,13,1,8,1,13,6,6,1,13,8,8,1,13,1,9,1,16,2,11,2,8,1,13,4,8,1,7,1,13,1,8,1,16,1,11,1,9,1,11,1,8,1,11,1,10,1,9,2,8,1,9,1,13,2,8,1,9,1,13,4,6,1,13,5,7,1,13,2,6,1,8,1,7,2,13,1,6,2,13,1,6,2,7,1,13,1,6,1,13,3,7,1,6,2,13,1,6,1,7,1,13,1,6,4,13,1,6,1,7,2,6,1,13,1,30,1,13,1,6,1,13,2,6,5,30,1,6,2,29,1,30,2,6,1,29,1,6,2,30,1,6,2,13,1,28,1,13,1,6,1,30,1,6,5,29,1,6,1,30,1,28,1,30,1,28,1,30,2,6,1,29,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,7,1,30,1,28,1,30,2,13,1,10,1,9,1,8,1,13,1,6,1,8,1,13,1,8,1,13,4,30,1,6,1,30,2,29,1,30,2,28,2,6,1,28,1,30,2,29,1,6,2,30,7,28,2,30,4,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,5,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,15,29,1,17,2,9,2,13,1,7,1,13,1,30,1,28,4,13,1,28,8,30,1,6,1,30,2,6,1,13,2,9,1,8,1,16,1,17,1,30,1,28,6,8,1,13,2,6,1,28,42,16,1,13,1,30,2,28,1,6,1,17,2,11,1,28,4,30,1,29,1,6,1,13,2,17,1,16,2,30,1,28,5,7,1,8,1,30,1,28,4,}, {7,1,28,47,30,1,29,1,30,1,28,2,30,1,9,1,17,1,10,1,24,1,7,1,6,1,30,1,29,1,6,1,9,1,15,1,8,1,6,1,13,2,8,1,16,1,17,1,16,1,17,2,12,1,17,1,11,2,8,1,6,1,28,6,13,1,9,2,8,1,6,1,30,1,29,1,6,1,13,1,9,1,17,2,16,1,17,2,9,1,13,1,6,1,13,1,8,2,11,2,16,1,17,1,11,1,13,1,6,2,30,1,28,1,7,1,8,1,6,1,28,37,6,1,8,1,9,1,13,1,9,1,8,1,29,1,28,3,13,1,6,1,13,1,11,1,17,5,16,1,17,1,9,3,11,1,16,1,17,1,9,1,13,1,12,1,9,1,10,1,9,2,10,1,8,1,6,1,8,1,9,2,11,1,17,3,16,1,6,1,28,16,13,1,10,1,17,7,12,3,15,1,12,1,24,3,25,1,8,2,24,1,8,1,25,7,24,3,25,2,26,1,6,1,29,1,30,1,28,5,30,1,7,1,13,1,8,1,13,1,10,1,8,1,24,1,10,1,11,1,9,1,11,1,10,1,8,1,9,1,24,1,10,1,12,1,17,6,16,2,17,1,10,1,11,1,9,2,24,1,13,3,7,1,6,3,29,1,30,1,6,1,29,1,30,1,6,3,29,1,13,1,7,1,13,3,10,1,12,1,10,1,9,1,24,1,13,1,8,1,24,1,8,1,24,1,13,1,8,1,6,1,13,4,6,1,7,1,6,1,13,1,30,1,13,1,7,1,6,1,29,1,6,5,29,1,30,1,6,1,29,1,7,2,6,1,29,1,7,1,13,3,6,2,13,5,9,1,8,3,10,1,13,1,9,1,8,1,13,2,8,2,13,2,8,1,13,1,8,2,13,1,9,2,8,1,9,3,8,1,11,1,8,1,10,1,9,1,13,1,11,1,9,3,8,1,12,1,8,1,10,1,24,1,10,1,9,1,12,1,9,1,11,1,9,3,10,1,9,4,13,1,24,1,10,1,8,1,9,2,24,1,9,1,8,1,24,1,9,1,8,1,9,1,10,1,9,1,8,1,9,1,8,1,24,2,8,2,9,2,8,1,9,1,13,1,8,1,9,1,24,2,8,1,9,1,24,1,8,1,6,1,13,1,7,2,6,3,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,7,1,29,1,13,1,6,4,7,1,13,2,6,1,13,1,6,4,30,4,28,1,30,1,6,1,30,1,29,1,30,1,13,1,29,1,6,2,28,1,6,1,30,1,28,1,30,1,6,4,30,1,6,1,13,1,6,1,7,1,6,1,29,1,30,1,29,1,6,1,29,1,30,1,6,2,29,1,7,1,6,1,7,1,30,1,6,1,13,2,6,1,7,2,6,1,8,1,7,1,29,1,6,2,13,3,9,1,12,1,9,1,17,2,9,1,17,2,10,1,17,2,12,1,17,5,12,1,17,4,11,1,9,1,6,1,13,1,7,1,6,2,13,2,7,1,13,3,6,1,13,3,6,2,13,1,8,1,13,6,6,1,13,3,6,3,7,1,13,2,6,1,8,1,11,1,17,13,12,1,17,2,12,1,10,1,17,1,8,1,10,1,12,1,9,1,10,1,9,1,11,1,9,1,10,1,9,1,17,1,12,1,17,1,12,1,11,1,12,1,17,2,10,1,17,1,11,2,17,1,10,1,17,1,9,1,12,1,11,2,9,2,17,1,11,2,17,1,11,1,17,1,10,2,12,1,8,1,10,2,17,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,11,1,9,3,13,1,9,2,8,2,11,1,10,1,9,1,11,1,9,3,8,1,9,1,13,1,9,3,11,1,8,1,9,1,10,1,9,3,13,1,8,1,6,1,7,1,13,1,7,3,6,1,29,1,13,1,28,1,7,1,6,2,7,2,29,1,6,1,7,2,6,1,7,1,13,1,6,1,13,1,6,1,9,3,17,2,12,1,11,1,17,2,11,1,12,1,17,1,11,2,17,1,12,2,10,1,17,1,11,3,9,2,12,2,11,1,9,1,10,3,13,1,8,1,9,1,8,1,24,1,10,2,8,1,9,1,12,1,10,1,11,1,9,1,12,1,11,1,10,1,12,1,10,2,9,1,11,1,10,1,9,3,10,2,11,1,12,1,11,2,17,3,12,1,17,1,11,1,17,3,12,1,17,10,8,1,13,2,11,1,17,65,8,1,13,3,6,1,29,1,30,3,13,1,17,6,10,1,17,8,11,1,17,1,12,1,11,1,17,1,9,1,10,1,24,1,11,1,24,1,12,1,9,1,10,1,24,1,9,1,8,6,13,2,8,1,13,1,9,1,8,2,13,2,24,2,8,1,13,2,8,2,6,1,28,1,30,2,28,1,30,1,28,1,6,1,29,1,6,1,30,1,28,1,13,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,13,1,6,1,30,4,6,2,28,1,30,2,28,2,30,1,28,1,6,1,28,3,30,2,28,1,30,1,29,1,28,2,30,2,28,2,30,1,28,1,6,1,30,1,28,5,30,2,28,2,30,1,29,1,30,1,28,1,30,2,6,1,13,1,28,2,30,1,28,2,30,1,28,1,6,1,28,1,6,1,30,2,28,1,30,3,28,1,13,1,28,1,6,1,30,4,28,1,30,2,28,2,30,5,28,2,29,1,30,3,28,2,6,1,28,1,30,2,28,1,30,1,28,1,30,4,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,6,1,30,2,28,1,29,1,6,1,30,1,28,1,13,2,30,2,13,1,30,8,6,1,30,2,28,1,30,2,6,1,30,2,28,2,30,4,28,1,30,2,28,3,30,1,28,1,30,3,28,1,30,7,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,3,28,3,30,3,28,1,30,1,28,1,30,1,6,1,7,2,13,1,9,1,13,1,30,3,28,2,30,1,28,1,29,1,30,2,6,1,28,1,30,2,6,1,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,2,28,2,30,1,28,2,13,1,30,2,28,1,30,3,28,3,30,3,28,1,6,2,13,2,29,1,30,1,28,19,30,1,28,1,30,2,28,2,6,1,30,1,28,1,30,1,28,3,30,1,6,1,28,17,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,2,30,1,6,1,28,1,30,2,28,1,6,1,28,1,29,1,13,1,6,1,30,3,6,1,30,1,28,2,30,3,28,16,30,1,28,1,30,2,28,2,30,1,6,2,28,1,6,1,8,1,9,1,6,1,13,2,9,1,6,1,30,1,28,5,30,1,13,2,28,12,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,3,6,1,28,4,30,1,28,7,30,2,28,1,30,5,28,1,30,1,28,1,6,3,30,3,6,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,4,30,4,28,2,30,1,28,1,29,1,28,6,30,1,28,1,30,1,28,6,30,3,28,1,30,1,28,1,30,4,28,5,30,1,6,1,30,1,28,1,29,1,7,1,6,1,30,1,28,3,30,1,28,3,30,1,28,2,6,1,28,2,30,1,28,9,6,2,30,1,29,1,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,1,13,1,8,2,9,2,8,1,9,1,10,1,9,2,8,1,9,1,11,1,8,3,9,1,12,1,17,1,12,1,24,2,13,1,8,1,13,1,8,1,24,1,11,1,9,2,11,2,8,1,9,1,10,1,11,1,13,1,10,1,17,2,11,2,12,1,11,1,17,2,12,1,17,13,10,1,8,2,13,1,8,1,6,1,29,3,26,1,27,1,29,3,30,1,29,2,30,2,28,7,8,1,9,3,8,1,9,2,11,4,17,1,11,1,16,1,17,4,12,1,11,1,12,2,11,1,8,1,13,2,8,1,10,1,9,1,10,2,12,2,9,1,10,1,9,3,10,1,9,1,10,1,9,1,13,1,9,1,13,1,8,3,13,1,8,2,13,4,9,1,13,2,29,1,6,1,30,1,13,1,6,1,9,1,8,1,13,5,6,1,8,1,13,2,6,1,13,1,7,1,13,5,6,1,13,1,8,1,13,4,8,1,7,2,13,1,6,3,30,1,6,1,30,1,29,1,6,3,29,1,13,1,29,1,30,1,6,1,29,1,6,1,30,1,13,1,29,1,30,2,28,1,30,3,28,4,30,1,28,2,29,1,30,1,28,2,30,1,6,1,8,1,11,1,8,1,13,1,6,1,7,1,13,5,8,1,13,1,9,1,13,1,8,4,9,1,10,1,9,1,12,1,8,1,12,1,9,1,11,1,9,3,8,3,9,6,8,1,13,1,8,1,9,1,13,1,9,5,10,1,9,1,8,1,9,1,8,1,9,2,13,1,8,1,11,1,13,2,8,1,13,1,8,1,13,1,9,2,13,3,11,1,9,1,13,1,9,1,13,1,9,2,13,1,8,1,9,1,8,2,9,1,8,1,11,1,9,1,8,1,11,1,17,1,11,1,9,2,11,1,9,1,11,1,17,31,16,1,11,1,10,1,11,1,9,3,11,1,13,1,9,1,13,1,8,1,7,1,6,1,13,3,6,2,13,1,6,1,7,1,6,1,13,1,6,4,13,2,30,1,7,1,13,1,6,2,13,1,6,2,30,1,6,1,13,1,30,1,7,1,6,3,13,1,6,2,30,1,13,1,30,1,13,2,7,1,30,1,8,1,13,1,8,1,13,4,9,1,8,2,9,1,12,1,17,1,11,1,6,1,30,2,6,1,29,2,27,1,29,1,30,1,29,1,30,1,28,4,30,1,28,1,30,1,28,10,30,1,28,19,30,1,28,3,30,1,28,1,6,1,7,1,30,1,29,1,28,1,30,2,28,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,9,1,6,2,30,3,6,2,30,1,6,1,30,1,7,1,6,1,13,1,7,1,13,2,6,2,13,11,8,1,6,1,13,1,9,1,17,1,16,1,17,1,16,5,9,1,16,1,11,1,10,1,9,1,10,1,8,1,9,1,8,1,9,4,8,2,13,2,30,1,6,1,13,2,7,1,13,2,6,1,13,4,8,1,13,5,9,1,11,1,16,2,9,2,8,1,13,2,7,1,8,1,13,1,8,1,13,1,6,1,9,1,10,1,11,1,16,1,9,1,11,1,13,1,8,1,9,1,8,1,9,2,13,1,8,1,13,3,9,1,13,2,8,1,13,5,7,1,8,1,7,2,13,5,8,1,29,1,13,1,6,1,13,2,6,2,13,1,6,1,7,1,6,1,13,1,6,1,30,1,6,3,13,1,29,1,6,12,29,1,6,3,29,1,7,1,30,1,6,4,13,4,29,1,6,3,29,2,6,1,29,1,30,1,6,1,30,1,28,1,29,1,30,1,28,2,30,1,29,1,30,3,6,1,30,1,28,1,6,1,13,1,30,1,6,1,28,2,30,1,6,1,13,1,6,1,9,1,16,1,13,1,8,2,7,1,13,1,6,1,13,1,6,3,29,1,30,1,6,1,28,3,30,1,28,1,30,2,28,1,30,1,6,1,28,1,30,1,6,2,28,2,6,1,28,1,30,3,28,6,30,2,28,1,30,1,28,1,6,1,28,5,30,3,29,1,28,1,30,2,28,2,30,1,28,17,30,1,17,2,9,1,13,1,8,1,29,2,6,1,28,2,30,3,28,8,30,1,29,1,30,1,29,1,30,1,9,1,13,1,9,1,8,1,17,2,30,1,28,5,6,1,8,1,9,1,13,1,30,1,28,41,30,1,16,1,9,1,6,1,28,1,30,2,16,1,17,1,13,2,30,1,28,1,30,1,13,4,6,1,16,1,17,1,16,1,30,1,28,5,13,1,8,1,6,1,28,4,}, {13,1,28,22,30,1,28,24,30,1,6,1,28,3,29,1,8,1,9,1,16,1,8,2,6,1,30,1,6,1,29,1,10,1,15,1,8,1,29,1,30,1,13,1,9,1,11,1,16,2,11,1,17,2,16,1,9,2,13,1,30,1,28,3,30,1,28,2,13,1,8,1,9,1,13,1,7,1,29,1,6,1,30,1,6,1,9,1,17,3,16,2,9,1,10,1,8,1,13,1,8,1,10,1,11,1,16,1,17,1,16,1,9,1,8,1,6,1,28,2,6,2,8,1,30,1,28,37,29,1,8,1,9,2,8,2,6,1,28,1,30,1,28,1,6,1,29,1,13,2,17,8,10,1,13,1,9,1,17,1,9,1,12,1,8,1,11,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,6,1,13,1,9,1,17,2,16,1,17,2,13,1,28,16,13,1,11,1,17,8,12,2,15,1,24,1,12,1,15,1,24,2,8,1,25,10,8,1,25,1,8,1,24,1,8,1,25,1,27,1,6,1,29,1,30,1,28,5,30,1,6,1,24,2,12,1,10,2,9,2,11,1,10,1,24,1,8,1,10,1,12,1,17,10,12,1,10,1,11,1,9,2,13,5,6,1,29,2,6,1,29,2,6,1,29,1,6,3,7,1,6,3,13,1,9,1,10,2,9,1,24,1,8,3,7,1,8,2,24,1,8,1,7,1,13,1,6,2,7,1,6,3,29,2,6,1,30,1,6,1,30,1,6,2,29,1,6,1,28,1,6,3,29,2,13,1,7,2,6,1,7,1,13,2,7,1,8,1,6,1,8,1,13,1,7,1,13,1,24,1,9,1,24,1,13,1,8,1,7,1,9,1,8,1,24,1,9,1,7,1,8,3,13,1,8,1,13,1,9,1,10,1,9,1,8,1,9,1,8,4,9,2,13,1,10,2,9,2,10,1,8,1,11,3,8,1,10,2,9,2,10,4,9,1,10,1,11,1,24,1,9,1,24,1,9,1,10,1,24,1,9,1,24,1,8,2,9,1,8,1,24,1,9,1,24,1,13,1,9,2,13,1,8,3,9,1,8,4,24,1,8,1,10,1,13,1,8,3,9,1,24,2,9,1,24,2,7,1,13,2,6,2,13,2,6,1,13,1,6,3,7,3,13,1,6,7,7,1,13,1,6,5,29,1,13,1,29,1,6,1,28,1,6,1,29,1,30,1,6,1,29,1,28,2,13,1,30,1,6,1,30,4,29,1,30,2,6,1,29,1,6,8,7,1,6,2,7,3,6,1,7,1,6,2,7,2,13,1,6,1,29,1,30,1,6,1,29,1,13,3,9,2,17,2,12,2,11,1,9,1,11,1,12,4,11,2,17,2,12,1,17,7,9,1,13,2,29,1,13,1,6,1,7,1,13,3,6,1,13,2,6,1,13,1,6,1,13,2,8,1,13,8,6,1,13,1,6,3,13,1,6,1,13,1,6,1,13,2,9,1,16,1,17,12,11,2,10,3,12,1,10,1,17,1,11,2,9,1,11,1,9,1,17,1,10,1,12,1,9,1,11,2,17,3,12,1,17,1,12,1,11,2,10,1,12,1,9,1,11,1,12,2,17,1,10,1,11,1,9,2,11,3,12,2,11,1,9,1,10,1,12,1,9,2,10,1,9,3,8,1,9,1,11,1,10,1,8,1,11,1,10,1,9,2,11,2,8,1,11,1,9,1,8,1,9,2,11,1,9,2,8,1,9,2,8,4,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,24,1,13,2,6,1,7,1,6,1,7,4,6,1,7,2,6,3,7,1,6,2,30,1,13,1,6,1,7,1,8,1,13,1,8,1,9,1,11,1,10,1,12,1,11,3,12,1,11,2,17,2,11,1,17,3,11,1,12,1,8,1,11,1,9,1,12,1,11,2,9,1,12,1,10,1,9,2,10,2,9,1,10,1,9,1,8,1,11,1,10,1,9,1,10,1,9,5,24,1,9,1,11,1,9,1,11,2,10,1,11,1,9,1,11,1,10,1,12,1,10,1,12,1,10,1,12,1,17,1,10,1,17,1,10,1,17,2,12,1,17,14,8,1,13,1,8,1,13,1,16,1,17,60,12,1,17,4,24,1,6,1,8,1,13,1,6,1,30,3,6,1,9,1,17,10,11,1,17,5,12,2,17,1,9,1,10,2,12,1,8,1,9,1,24,1,8,1,9,1,8,2,24,1,13,1,24,1,8,1,7,1,8,1,13,1,24,1,13,2,24,1,8,1,13,1,8,1,9,1,12,1,10,2,8,1,9,1,8,1,13,1,30,2,28,1,30,2,28,1,30,1,29,1,28,1,6,1,30,1,6,1,13,1,6,2,28,3,30,3,28,2,13,1,6,1,30,2,6,1,29,1,30,2,28,1,6,1,28,1,30,1,28,1,30,3,28,4,30,2,28,2,30,1,28,2,30,3,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,29,1,28,3,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,6,1,28,1,30,2,28,1,29,1,28,2,6,2,28,1,30,7,28,5,30,2,28,2,30,2,28,1,29,1,13,1,28,5,30,2,6,1,29,1,30,2,28,1,29,1,6,2,28,1,6,1,28,1,30,5,6,1,28,3,30,1,28,1,6,1,29,1,30,4,28,1,30,2,28,1,30,1,28,1,30,6,29,1,28,5,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,4,28,2,30,1,28,3,30,1,6,1,28,1,30,1,28,2,30,2,28,5,30,4,28,1,29,1,28,1,30,1,28,3,29,1,6,1,13,4,6,1,30,1,6,1,30,5,28,3,6,1,30,1,28,2,6,2,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,4,30,9,28,1,30,1,29,1,30,1,29,1,28,2,30,2,6,2,13,2,30,3,28,5,30,1,28,2,30,1,28,4,6,1,30,2,7,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,6,30,2,28,12,30,2,28,3,30,1,28,1,30,1,28,4,30,7,13,1,30,2,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,28,2,30,1,28,1,30,1,28,9,30,1,7,1,28,3,30,1,28,2,30,3,28,4,6,1,13,1,9,1,8,3,13,1,6,1,30,1,28,2,30,1,29,1,13,2,28,4,30,1,28,6,30,1,28,7,30,1,28,1,30,1,28,10,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,3,6,1,29,1,13,2,6,1,28,1,30,1,28,1,30,5,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,6,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,3,29,1,30,3,28,1,6,2,29,1,6,1,28,4,30,1,28,1,30,2,28,2,30,1,6,1,28,2,30,2,28,6,6,1,29,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,1,30,2,13,1,9,1,13,1,9,1,13,1,8,1,9,3,8,1,10,1,13,2,8,3,24,1,17,1,12,1,10,1,24,1,12,1,24,1,8,1,13,1,7,1,9,1,11,1,9,2,12,1,9,1,11,1,8,1,12,1,9,1,12,1,9,1,8,1,10,1,17,1,11,2,17,1,11,1,16,1,17,15,9,2,8,1,13,1,8,1,25,1,29,1,27,1,29,1,30,1,27,1,30,1,29,4,30,1,28,7,29,1,28,1,9,1,13,1,9,1,8,1,9,2,13,1,8,1,9,3,11,1,12,1,11,2,16,1,10,1,11,2,16,1,17,1,9,4,8,1,9,1,8,1,9,1,11,1,12,1,11,2,9,1,11,3,9,2,12,1,16,1,9,2,13,1,9,2,8,2,13,2,8,1,13,1,9,1,13,2,9,1,7,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,7,1,13,4,6,1,13,5,7,1,13,7,6,1,13,1,6,1,7,1,6,1,13,1,6,2,13,1,6,2,7,1,13,1,6,3,29,1,6,1,30,1,6,1,30,1,7,1,29,1,30,2,29,1,6,1,29,1,30,1,29,1,28,1,30,1,6,1,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,13,1,9,2,13,3,30,1,13,1,6,1,13,1,6,1,7,1,13,2,8,1,9,1,8,3,9,2,10,1,9,1,11,1,8,1,9,3,8,1,13,1,9,1,13,1,8,4,9,1,13,1,8,4,9,1,8,3,9,3,8,1,9,1,11,1,9,3,11,1,13,1,9,3,13,1,8,1,11,1,8,1,9,1,8,1,9,1,13,2,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,4,8,1,9,2,8,1,9,2,10,1,9,4,10,1,9,1,16,1,12,1,16,1,17,28,11,1,16,1,11,1,12,1,9,1,10,1,9,2,8,1,9,2,13,2,7,2,6,1,30,1,6,1,13,1,6,2,13,1,30,1,13,2,6,2,13,1,6,3,30,1,13,2,6,1,7,1,13,1,6,1,13,1,6,3,13,2,6,1,13,1,29,1,6,1,7,1,13,1,30,1,13,1,6,1,13,6,8,1,13,2,9,1,8,3,13,1,9,1,17,2,12,1,30,4,29,2,27,1,30,1,29,1,30,6,29,1,30,1,28,1,30,1,28,15,30,1,28,13,6,1,28,3,29,1,13,1,8,1,6,1,29,1,30,4,28,1,6,1,28,3,6,1,28,1,6,1,13,1,28,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,6,1,7,2,6,3,13,7,6,1,13,2,6,1,13,2,8,1,13,1,8,1,17,3,11,1,17,1,16,4,9,4,8,1,9,1,8,1,9,3,8,1,9,1,8,3,13,3,8,1,13,4,6,1,13,4,7,1,13,3,8,1,7,1,13,1,8,1,17,1,11,1,10,1,11,1,9,1,13,1,9,1,13,7,8,1,11,1,9,1,10,1,12,1,9,2,8,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,9,1,13,2,8,2,13,2,8,1,13,6,8,1,13,2,7,1,13,1,6,1,13,1,7,1,13,1,8,1,6,1,13,6,6,1,13,1,7,1,13,1,7,1,6,1,13,2,7,1,13,2,7,1,13,1,9,1,13,1,6,1,13,1,6,3,29,1,7,1,6,1,29,1,7,1,6,2,7,1,6,1,13,2,7,1,6,8,30,7,28,2,30,1,6,1,30,1,28,1,30,3,7,1,13,1,6,3,30,1,6,2,13,2,8,2,9,1,8,1,13,1,8,1,13,1,6,3,30,2,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,6,28,3,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,3,30,1,28,6,30,2,28,6,30,2,28,15,6,1,17,2,9,1,13,1,6,1,13,1,6,1,28,15,30,1,28,1,6,1,7,1,13,1,10,1,11,1,9,1,16,2,30,2,28,4,13,1,9,1,10,1,13,1,6,1,28,1,30,1,28,39,6,1,12,1,10,1,30,1,29,1,28,1,29,1,17,2,8,1,13,1,28,3,30,1,6,1,7,1,6,1,13,1,17,3,30,1,28,5,7,1,6,1,28,5,}, {13,1,30,1,28,42,29,1,28,5,6,1,28,2,6,1,8,1,11,2,12,1,6,1,29,2,30,1,29,1,24,1,11,1,13,1,6,1,30,1,13,1,11,1,9,1,11,1,17,4,11,1,12,1,10,1,8,1,6,1,28,3,30,1,28,2,6,1,17,1,9,1,8,1,30,1,29,1,28,1,6,1,30,1,11,1,17,2,11,1,17,1,11,1,9,3,8,1,6,1,9,1,17,1,11,1,17,2,9,1,6,1,7,1,30,1,29,1,6,1,13,1,8,1,28,38,30,1,13,1,9,1,8,1,9,1,8,1,30,1,28,3,6,1,29,1,6,1,11,1,17,8,11,1,9,2,11,2,13,1,11,1,8,1,9,1,10,1,13,2,9,1,6,1,8,2,6,1,13,1,8,1,17,4,9,1,28,16,9,1,11,1,17,7,12,2,15,1,24,1,12,2,24,1,12,1,24,3,8,1,25,3,8,1,25,1,26,1,25,2,8,1,25,2,8,1,25,2,26,1,25,1,29,2,28,7,7,1,8,2,24,1,11,1,9,1,10,1,9,1,10,1,13,1,9,1,10,1,17,9,16,1,11,1,9,3,8,3,13,1,7,1,6,1,29,1,13,1,29,1,6,1,30,1,6,1,29,1,6,1,29,2,6,2,30,1,6,2,13,1,8,1,10,1,9,1,10,1,12,1,8,1,24,1,8,2,24,1,9,1,13,1,24,1,13,1,6,3,30,1,6,1,29,1,6,3,30,2,6,1,30,1,6,1,30,1,28,1,29,1,6,1,30,1,6,1,30,1,6,4,13,1,6,2,13,1,30,1,6,2,13,1,7,1,13,4,8,3,13,1,8,1,13,3,9,3,13,2,24,1,8,1,24,1,8,1,13,1,9,1,13,1,12,1,9,2,12,1,11,1,9,2,11,1,9,2,11,1,9,4,12,1,11,1,9,2,17,1,9,3,13,1,10,1,9,2,24,1,10,1,9,1,8,1,10,1,9,1,24,1,9,1,10,1,8,1,9,4,13,1,8,1,10,1,24,2,8,1,24,1,9,1,8,1,9,2,24,1,8,1,24,1,9,1,8,1,9,3,8,1,24,3,8,2,13,1,8,1,13,1,7,1,8,2,30,1,29,1,13,1,7,2,13,1,7,2,6,2,7,1,6,2,7,1,6,2,13,2,6,1,7,1,6,4,13,1,7,1,6,1,7,1,13,1,6,3,29,1,6,1,30,2,6,1,28,1,6,1,30,1,6,1,29,1,30,1,29,2,30,4,28,1,6,3,7,1,6,1,30,1,29,2,6,4,30,1,29,2,6,1,7,1,6,3,7,1,13,2,9,5,11,1,17,4,9,5,12,1,9,1,12,1,10,1,12,1,10,1,17,2,11,1,17,3,12,1,17,5,9,1,13,1,6,2,13,1,6,1,13,6,6,1,13,1,7,1,13,1,8,1,13,2,6,1,13,2,7,1,13,4,7,1,13,1,6,1,7,1,13,1,6,2,13,3,8,1,9,1,17,13,11,1,17,2,11,1,9,1,17,1,11,2,9,1,11,1,12,1,9,2,10,1,12,1,11,1,12,1,11,2,17,4,12,1,11,1,17,1,9,1,11,1,12,2,11,1,12,1,11,2,17,1,10,1,11,1,9,1,11,1,17,1,9,3,11,1,9,1,11,2,8,1,9,1,11,1,9,2,10,1,12,1,10,1,9,2,8,1,11,1,9,3,10,1,9,1,8,1,9,1,11,1,9,2,12,1,8,1,9,1,8,1,9,1,13,1,8,2,13,1,9,1,13,1,9,1,13,1,8,1,13,2,8,1,24,1,10,1,13,1,24,1,13,2,7,1,6,1,29,1,13,1,30,1,7,2,6,1,7,2,13,1,7,2,6,1,29,1,6,2,7,1,8,2,13,1,10,1,9,1,11,2,10,1,12,1,11,1,12,1,17,1,11,1,17,1,12,1,11,1,12,1,10,1,11,1,17,1,10,1,11,1,10,1,12,1,10,1,9,1,11,1,9,1,10,1,17,2,11,1,10,1,9,1,11,2,9,2,12,1,10,1,12,1,9,2,12,1,17,1,9,1,10,2,9,1,11,1,17,1,9,2,11,1,12,1,11,1,12,1,11,3,17,1,12,1,11,1,17,1,9,1,11,1,12,2,11,1,12,1,17,1,11,2,17,2,11,1,17,9,13,2,8,1,7,1,17,66,10,1,13,1,8,1,13,1,6,2,30,1,6,2,9,1,17,7,16,1,17,6,12,1,17,2,11,1,17,1,12,1,17,2,12,1,10,2,24,2,9,2,10,1,24,1,8,2,9,1,10,1,13,1,8,2,13,2,8,1,9,1,24,1,9,1,12,1,17,1,12,1,17,1,10,1,12,2,9,1,13,1,6,1,7,1,6,1,30,2,29,1,30,1,13,4,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,4,6,1,30,2,28,2,30,1,28,3,30,1,28,1,30,2,28,2,30,2,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,6,30,1,6,1,28,4,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,7,1,30,3,28,1,30,1,28,4,30,1,28,4,6,1,28,1,29,1,30,1,28,1,30,1,28,1,13,1,30,1,28,1,30,2,28,1,6,1,30,2,28,1,30,3,6,3,30,1,6,1,30,5,28,1,30,1,13,1,28,1,30,1,29,1,6,1,30,4,28,2,6,1,30,4,28,1,30,4,28,3,30,2,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,2,30,2,6,1,28,1,30,2,28,1,30,5,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,13,2,6,2,30,1,7,1,28,1,30,1,28,1,30,1,28,1,30,4,28,2,30,1,29,1,28,1,30,1,6,1,30,1,28,3,6,1,28,4,30,1,28,1,30,1,28,1,30,4,28,1,30,2,6,1,28,1,29,1,30,3,6,1,28,1,30,1,6,3,30,1,29,1,6,1,8,1,13,1,30,1,28,1,30,1,28,8,30,1,28,2,30,1,28,1,30,1,6,3,30,1,28,2,30,3,28,2,30,1,28,3,30,2,28,1,6,1,28,6,30,1,28,1,30,2,28,5,30,1,28,5,30,1,28,2,30,2,28,1,6,1,30,2,28,2,6,1,30,1,6,1,30,4,6,1,29,1,30,2,6,1,28,1,6,1,30,2,28,2,6,1,13,1,28,1,30,2,28,3,30,2,28,7,29,1,30,1,28,4,30,2,28,3,30,1,28,1,13,1,6,1,9,2,6,3,11,1,9,1,13,1,30,1,28,1,30,1,13,3,28,8,30,1,28,6,30,1,28,2,30,1,28,20,30,1,28,2,30,2,28,2,30,4,6,1,13,1,30,3,28,4,30,5,28,1,30,1,28,3,30,1,28,2,29,1,30,2,28,1,30,1,28,2,6,1,30,1,28,3,30,2,28,1,30,1,28,4,6,1,30,2,28,2,30,5,13,1,28,1,30,1,28,8,29,1,28,1,30,1,13,1,6,1,28,6,29,1,28,2,30,1,28,1,29,1,28,2,30,1,29,1,30,1,6,1,30,1,29,1,28,1,29,1,6,2,30,3,28,8,30,2,28,2,30,1,13,2,8,1,9,1,11,1,13,1,9,3,10,2,9,2,13,1,8,2,9,1,10,1,11,1,10,2,9,1,24,1,13,1,8,1,6,1,8,1,11,1,9,2,10,1,11,1,10,1,9,6,8,2,17,2,11,3,17,2,16,1,17,11,11,2,9,2,13,2,8,1,27,1,29,1,27,1,29,1,27,1,30,1,29,1,30,4,28,1,30,1,28,5,30,1,28,2,8,1,13,1,9,2,8,2,9,1,13,1,9,2,10,1,9,1,11,3,10,1,17,4,12,1,17,1,9,3,8,1,11,1,10,1,9,1,12,1,11,1,9,1,11,1,10,1,12,1,17,1,11,1,17,1,11,1,17,1,12,1,10,1,11,1,10,1,9,1,13,1,10,1,8,1,9,1,8,1,9,1,13,3,7,1,6,1,13,2,30,1,13,1,6,1,13,1,6,1,30,1,13,4,6,1,13,8,8,1,6,1,7,1,13,4,7,1,13,3,7,1,13,1,7,1,30,1,6,1,7,1,6,2,30,2,6,2,30,1,6,4,30,1,29,1,30,1,6,1,28,1,30,5,28,1,30,1,28,1,30,1,28,7,6,1,30,1,29,1,13,2,12,1,11,1,13,1,7,1,13,1,29,1,6,3,13,1,6,1,7,1,13,4,8,2,9,2,11,1,8,2,9,2,11,1,9,1,13,1,9,2,13,2,9,1,13,1,9,1,8,1,13,1,9,2,8,1,9,1,13,2,9,1,8,1,9,1,8,2,9,1,8,1,9,2,10,1,9,1,8,3,9,1,8,1,9,1,8,2,9,1,13,1,9,1,13,1,10,1,9,4,13,2,8,1,13,1,8,1,13,2,9,1,13,1,9,1,8,1,9,2,8,1,9,1,8,1,9,8,10,1,11,1,10,1,17,28,16,1,11,1,17,1,16,1,11,1,9,5,8,2,13,4,6,1,13,1,7,1,6,6,13,1,30,1,6,1,13,1,6,1,7,1,13,1,6,5,13,1,6,2,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,7,2,13,1,6,1,7,1,13,3,8,1,13,1,8,1,13,1,9,1,13,1,8,2,13,1,10,1,12,1,17,1,10,1,6,1,28,1,29,1,30,3,27,1,29,1,30,1,29,2,27,1,29,1,30,1,29,2,30,2,28,6,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,12,29,1,30,1,28,2,8,1,7,1,13,1,6,1,28,1,30,4,28,1,30,1,29,1,28,1,30,1,28,2,6,1,13,1,29,1,6,1,28,1,30,2,6,1,30,3,29,1,6,1,29,1,13,2,7,1,6,1,13,3,6,1,13,5,7,1,13,2,7,2,13,1,16,1,17,2,11,1,16,1,11,1,10,1,16,1,11,1,10,1,8,1,11,2,9,4,13,1,9,1,8,1,9,2,13,1,8,2,13,5,7,1,13,3,7,1,13,8,8,1,13,1,9,1,17,3,9,3,13,1,8,1,13,1,7,1,13,5,8,1,11,1,16,1,8,1,9,1,16,1,11,2,8,3,9,1,8,2,13,1,8,1,9,1,8,1,13,1,8,1,13,2,8,2,13,8,8,1,13,1,8,1,13,4,8,1,13,6,6,1,13,2,6,1,13,2,6,1,7,1,13,2,7,1,13,2,9,1,13,5,7,1,6,1,13,1,6,1,29,1,6,1,30,1,6,1,7,1,13,1,6,5,30,1,28,1,30,1,6,1,29,1,30,1,29,1,6,3,28,1,30,3,28,1,6,1,30,3,28,1,30,1,28,1,30,1,6,1,13,1,6,3,13,2,7,1,8,1,13,1,8,1,9,2,13,3,6,2,7,1,28,1,30,1,28,1,30,3,28,3,30,2,28,3,30,1,28,1,30,1,28,1,30,3,6,1,28,4,30,1,28,3,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,6,30,3,28,22,6,1,17,2,13,2,6,2,7,1,29,1,28,14,29,1,30,1,29,1,6,1,9,1,8,1,9,2,11,1,9,1,28,6,6,1,9,1,11,1,8,1,29,1,28,41,9,1,8,2,6,1,28,2,13,1,17,2,9,1,30,1,28,3,6,2,8,1,7,1,8,1,16,1,17,1,11,1,6,1,28,5,9,1,8,1,28,5,}, {8,1,28,43,30,2,28,2,13,1,6,1,28,4,8,1,17,2,11,1,7,1,6,1,29,1,6,1,28,1,13,1,17,1,7,1,28,1,30,1,13,1,9,1,12,1,16,2,11,2,12,1,17,1,12,1,11,1,9,1,29,1,28,6,29,1,17,1,9,1,13,1,29,1,6,2,7,1,6,1,10,1,17,3,16,1,11,1,8,1,9,1,13,2,8,1,11,3,10,1,17,1,9,1,8,1,13,1,29,1,28,1,8,2,13,1,29,1,28,37,30,1,9,1,12,1,9,1,12,1,8,1,30,1,28,2,30,2,6,1,30,1,8,1,17,9,12,2,8,3,10,1,16,1,10,2,13,2,9,1,13,1,7,1,13,1,7,1,8,2,17,1,9,1,17,2,9,1,30,1,28,15,11,1,17,9,12,3,24,1,12,1,24,2,12,1,24,4,25,2,24,1,25,2,26,1,25,2,24,1,27,1,8,1,25,1,24,1,8,1,27,1,26,1,30,1,29,1,30,1,28,5,30,1,13,1,9,1,17,1,10,1,12,1,11,1,10,1,9,1,12,1,9,1,10,1,17,10,11,1,10,1,9,3,8,1,13,3,6,4,29,1,6,1,29,1,6,4,7,1,6,2,29,1,13,1,6,1,13,1,9,2,10,1,24,1,8,1,13,1,8,1,13,1,8,1,13,1,24,1,13,2,6,6,30,1,6,2,7,1,29,1,30,1,6,2,29,2,30,1,6,1,30,1,6,1,29,1,30,1,6,1,29,1,6,1,28,1,13,1,7,1,6,1,13,2,6,1,13,1,7,2,13,3,24,1,9,1,13,1,8,6,13,1,9,1,11,1,9,1,13,1,8,1,9,2,10,1,8,1,10,1,9,1,13,1,9,1,8,2,9,1,8,1,9,1,12,1,9,1,11,2,12,1,17,1,10,1,9,1,10,1,12,1,9,1,17,1,9,1,11,1,8,1,17,1,9,3,10,1,8,1,10,1,8,2,10,1,13,1,11,1,10,1,8,1,9,1,8,1,9,2,10,1,9,2,8,1,9,1,13,1,24,1,10,1,24,1,8,1,13,1,9,1,8,2,10,1,8,3,13,1,8,3,9,1,8,2,13,1,8,1,10,1,13,4,29,1,8,1,7,2,6,1,7,1,6,1,7,1,13,1,6,1,13,1,6,3,7,2,6,1,8,1,6,1,13,2,6,2,7,1,13,1,6,1,7,2,6,1,7,1,30,2,28,2,6,1,13,1,6,1,30,3,29,1,6,1,29,1,6,1,13,1,7,1,8,1,7,1,13,1,8,1,13,1,8,1,6,1,13,2,8,1,13,2,7,1,6,1,28,1,13,4,7,1,8,1,11,1,8,1,17,2,11,1,17,9,10,2,8,2,9,1,13,1,17,1,11,2,12,1,11,2,12,1,17,11,8,1,13,1,7,1,13,1,7,1,13,3,6,2,7,1,6,1,13,8,7,1,13,1,7,1,13,1,6,1,13,6,6,1,13,5,8,1,9,1,17,5,12,1,17,6,12,2,10,2,9,2,10,1,9,1,10,1,12,1,11,1,10,1,11,1,10,2,11,1,17,2,10,1,9,1,17,2,11,1,17,2,11,1,17,1,11,1,10,1,11,1,10,1,11,1,17,2,11,2,10,1,17,1,11,3,9,1,11,2,9,1,8,1,11,1,10,1,9,3,10,1,8,1,9,1,10,2,9,1,11,1,9,1,11,1,10,1,12,1,11,1,9,1,11,2,12,1,9,3,8,3,10,1,9,1,10,1,8,1,13,1,8,1,13,1,8,1,6,1,9,1,13,5,8,1,24,1,7,2,8,1,7,2,6,1,7,1,6,1,30,1,6,1,7,1,6,1,7,1,6,1,13,1,7,3,6,1,7,2,13,2,8,1,10,1,9,1,11,2,17,1,11,1,12,1,11,1,9,1,12,1,17,1,12,2,11,3,10,1,9,1,11,1,10,1,17,1,9,2,24,1,17,1,11,1,17,2,13,1,9,1,12,1,9,1,12,1,24,1,10,1,9,3,10,1,12,1,9,1,8,1,9,2,10,1,9,1,10,1,17,2,11,1,12,1,17,1,9,1,11,1,10,1,12,1,11,1,12,1,17,1,12,1,11,1,17,1,12,1,17,2,11,1,17,1,12,3,17,1,12,1,17,9,9,1,6,1,13,3,17,61,10,1,17,4,9,1,6,1,13,1,7,1,6,1,30,2,6,1,30,1,17,17,12,1,17,2,11,1,9,2,10,1,11,2,9,2,13,3,9,1,24,1,8,2,13,2,24,1,8,1,24,1,13,1,24,3,12,1,17,1,9,1,10,1,12,1,11,1,10,1,12,1,11,1,13,1,8,1,6,1,13,3,9,1,13,3,6,2,13,1,28,1,6,1,30,1,28,2,30,1,29,1,28,1,30,1,28,1,6,2,28,1,30,1,6,1,30,1,6,1,28,2,30,1,28,3,30,1,28,9,6,2,28,2,13,1,29,1,28,1,30,1,28,11,30,2,28,5,13,1,28,9,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,29,1,30,2,28,1,6,1,30,1,29,1,28,1,30,3,28,3,6,1,30,2,28,2,30,1,28,2,30,5,28,2,30,1,28,1,6,1,28,3,6,2,30,1,28,1,30,1,28,3,30,1,28,1,29,1,30,5,28,1,30,5,28,1,30,2,28,1,30,4,28,1,6,1,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,4,28,2,30,1,28,1,30,1,6,1,30,2,28,1,30,1,28,5,30,1,6,1,28,1,30,3,28,3,30,2,28,1,30,1,28,3,30,2,7,1,6,3,28,3,30,4,28,2,30,1,28,5,30,2,28,1,30,3,28,1,30,1,28,6,29,1,28,3,30,1,28,1,30,3,28,1,13,1,28,2,30,2,6,1,28,1,6,4,29,1,28,1,30,1,6,1,9,1,6,1,30,2,28,6,30,1,28,1,6,1,30,1,28,1,30,1,28,2,13,1,6,1,13,1,28,4,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,6,1,28,4,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,6,30,5,28,3,30,1,28,1,30,1,28,3,30,1,29,1,28,1,30,2,28,1,30,6,6,1,28,1,30,1,29,1,28,1,6,1,7,1,28,2,30,3,28,1,30,2,28,3,30,1,28,2,30,2,28,1,30,1,29,2,6,1,30,2,28,4,13,3,9,1,13,1,30,4,13,3,30,1,28,1,13,2,6,1,28,9,30,1,28,1,30,2,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,11,30,1,28,1,30,1,28,3,30,2,29,1,30,2,6,1,13,3,30,2,28,1,30,8,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,5,30,1,28,1,7,1,28,1,30,1,29,1,13,1,29,2,30,1,28,1,30,7,28,1,30,3,7,1,6,1,30,4,28,1,30,1,28,1,30,1,6,1,30,1,28,4,30,1,28,3,30,1,28,1,30,2,28,1,30,1,7,1,13,2,9,1,8,1,9,1,8,1,9,3,8,1,11,1,9,1,13,1,9,1,11,1,10,1,9,1,12,2,10,3,13,2,8,1,13,1,12,1,9,3,11,1,9,1,8,2,9,2,10,2,9,3,11,1,17,5,11,1,17,11,9,1,12,1,10,1,9,1,8,3,26,1,29,1,30,1,27,1,29,1,27,1,28,1,30,3,29,1,30,1,28,1,30,1,28,7,6,1,9,1,8,1,9,1,8,3,13,1,9,5,11,1,9,1,11,1,16,1,17,1,11,1,12,1,11,1,9,1,10,1,11,1,9,1,11,3,9,1,12,1,11,1,17,1,9,1,11,1,17,1,9,1,16,1,11,1,9,1,11,2,17,1,9,3,11,1,8,1,9,1,7,1,8,1,9,1,8,1,9,2,13,5,8,1,9,1,6,4,13,4,7,1,13,1,6,1,13,4,7,1,13,2,6,1,13,2,6,1,13,3,7,1,13,3,30,1,7,1,13,1,30,1,6,2,13,1,6,2,7,1,6,1,29,1,6,1,30,1,29,1,30,1,28,1,6,1,28,2,29,1,6,2,30,3,29,1,30,1,28,2,30,1,28,4,30,1,28,2,30,1,29,1,13,1,11,1,13,1,9,1,6,1,7,1,6,5,13,2,6,1,8,1,7,1,8,3,13,1,9,1,8,4,9,1,13,1,8,1,9,1,8,1,9,1,8,1,7,1,13,3,9,1,13,1,8,3,13,2,8,2,13,1,8,3,10,1,8,3,9,1,8,1,9,4,8,2,9,4,8,5,9,1,8,2,13,2,9,1,13,1,8,1,13,1,8,4,9,1,13,1,8,1,9,1,13,1,9,8,8,1,11,3,16,1,17,28,12,1,11,2,12,1,9,1,10,1,9,2,11,1,9,2,13,1,8,1,13,3,6,3,13,1,7,1,6,6,13,1,6,1,30,1,8,1,6,5,13,1,6,3,13,2,7,1,6,1,13,2,6,3,13,2,6,1,13,5,8,1,13,1,9,1,8,1,9,1,8,4,9,2,17,1,9,1,29,1,28,4,29,1,27,1,29,1,30,1,29,1,28,2,29,1,30,1,29,1,30,2,28,2,30,3,28,3,30,2,28,1,30,1,28,5,30,1,28,1,30,3,28,9,30,1,29,2,13,1,8,1,13,1,6,1,29,1,28,1,30,3,28,1,6,1,28,1,6,1,28,1,30,1,28,2,8,1,6,1,30,5,28,1,6,2,29,1,13,3,29,1,7,1,13,1,6,2,13,1,7,1,13,2,6,1,13,8,16,1,17,4,16,1,11,1,17,1,11,1,9,2,8,1,9,4,8,2,9,2,8,1,13,3,8,1,13,1,8,1,13,9,6,1,13,5,7,1,13,3,9,1,16,1,17,1,11,1,9,3,13,1,8,1,13,1,8,2,13,2,8,1,13,1,9,2,11,1,9,3,10,1,9,2,17,1,9,1,10,1,11,1,8,1,9,1,13,1,9,1,13,1,9,4,8,1,9,1,13,4,9,1,13,2,8,3,13,1,9,2,13,1,6,1,13,3,8,1,13,1,8,1,13,7,8,2,6,1,7,1,8,1,13,8,6,1,13,2,7,1,13,1,30,1,13,1,6,3,13,4,30,1,13,1,29,1,6,2,29,1,13,2,6,2,30,1,6,1,13,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,13,1,7,1,6,1,7,1,13,3,9,1,8,1,13,1,9,1,13,1,9,2,13,2,6,2,30,1,28,1,30,1,28,3,30,3,28,2,30,2,28,3,30,1,28,1,6,1,28,1,30,3,6,1,30,1,6,1,30,3,28,1,30,1,28,3,30,1,6,1,28,1,30,1,28,2,30,1,28,3,30,2,28,4,30,1,29,1,28,24,6,1,17,2,10,1,13,1,6,1,13,1,28,4,30,1,28,1,30,1,28,10,30,1,6,2,13,1,9,1,8,1,9,1,11,1,10,1,28,6,6,1,17,1,9,1,8,1,28,42,13,1,17,1,9,1,7,2,29,1,13,1,16,1,17,1,13,1,29,1,28,2,30,1,29,1,6,1,13,3,9,1,16,1,11,1,6,1,28,2,30,1,28,1,30,1,10,1,13,1,28,5,}, {8,1,28,27,30,1,28,14,30,1,28,2,6,1,28,7,13,1,17,1,11,1,9,1,8,1,13,1,7,1,28,2,13,1,17,1,13,1,30,1,6,3,9,3,12,1,9,1,17,1,11,1,16,1,9,1,24,1,6,1,28,3,29,1,28,1,30,1,28,1,16,1,8,1,13,1,29,1,6,2,28,1,30,1,9,1,16,1,17,1,11,1,16,1,11,1,8,3,7,1,9,2,10,1,9,1,16,1,17,1,16,1,8,1,6,1,30,2,6,1,13,1,11,1,6,1,28,38,7,1,10,1,12,1,9,2,29,1,28,4,29,1,7,1,8,1,12,1,17,6,16,1,10,1,11,2,10,1,11,1,24,2,8,2,9,1,8,1,13,1,8,1,13,1,8,1,13,1,9,2,8,1,11,1,9,1,12,1,17,1,9,1,28,16,9,1,12,1,17,10,12,2,24,1,17,1,12,2,24,4,25,4,8,1,24,1,25,3,8,1,27,1,25,2,8,1,24,1,25,1,6,2,29,1,28,1,30,1,28,3,30,1,13,1,24,2,12,1,10,1,17,1,11,1,12,1,17,1,12,1,17,11,11,2,9,2,13,2,8,1,7,1,13,1,7,1,6,2,30,1,6,1,29,1,13,1,6,1,7,1,6,6,30,1,6,1,13,1,9,1,10,1,24,5,13,1,7,1,8,1,6,2,13,1,29,1,6,3,29,1,6,1,30,1,6,1,29,1,30,1,7,1,6,2,29,1,6,1,29,1,7,1,29,1,6,1,29,1,7,2,6,1,7,1,13,1,6,1,8,1,7,1,13,2,7,1,6,1,13,1,8,1,7,1,13,1,9,1,13,1,8,3,24,1,8,1,24,1,9,1,13,1,8,3,13,2,9,1,8,2,13,1,8,1,13,1,9,1,13,1,9,2,8,1,10,1,8,1,9,1,8,1,11,2,9,1,11,1,9,1,12,2,9,1,13,1,12,2,9,4,11,1,10,1,11,1,10,1,11,1,12,1,10,2,9,4,8,1,9,4,13,1,8,2,10,2,9,1,8,1,24,1,8,1,13,1,9,1,8,4,24,1,8,2,9,1,24,1,13,1,8,1,24,1,13,1,9,1,8,4,13,5,6,2,7,1,6,2,13,1,6,1,13,1,7,1,6,1,13,5,7,3,13,1,6,1,13,3,7,2,13,2,6,1,13,3,6,1,29,1,6,1,7,1,6,1,30,1,6,3,13,1,8,1,9,2,11,1,17,1,11,1,12,1,17,1,11,1,12,3,10,1,9,1,12,1,17,5,12,1,17,11,11,1,17,1,11,1,10,1,11,4,8,1,10,1,8,1,10,1,11,1,9,1,10,1,11,2,12,2,17,1,12,1,17,9,9,1,8,1,13,2,6,2,13,1,6,1,7,1,6,3,30,1,13,1,8,1,13,3,7,2,13,4,6,1,13,3,6,1,13,3,7,1,13,2,7,1,13,2,9,2,17,12,12,2,11,1,10,2,9,3,11,1,8,2,13,1,12,1,9,1,11,3,17,1,10,1,12,1,11,1,17,3,12,2,17,1,11,1,17,1,9,1,12,1,8,1,11,1,9,2,17,1,11,1,17,1,9,1,13,1,11,1,8,1,9,1,8,1,9,1,11,1,12,1,8,1,12,1,17,1,12,1,9,2,10,2,8,1,10,1,8,1,11,1,9,1,11,1,9,1,11,2,17,1,8,1,10,2,9,5,8,3,10,1,13,2,9,3,8,2,7,1,13,2,8,1,13,1,9,1,13,3,7,1,13,1,7,1,6,2,7,2,6,3,13,1,7,3,13,1,6,1,13,1,8,1,13,3,11,2,10,1,12,1,10,1,12,2,11,1,12,3,9,1,12,1,11,1,12,1,10,1,17,1,9,1,12,1,9,1,10,1,12,1,11,2,10,2,17,1,10,1,12,1,10,1,12,1,8,1,11,1,13,1,9,1,24,1,9,1,24,1,8,1,12,1,8,1,9,2,10,1,24,1,8,1,12,1,10,1,9,2,10,1,9,1,10,2,12,2,9,1,12,3,11,1,17,1,11,1,17,1,12,1,10,1,12,1,11,1,17,2,12,1,11,1,12,1,17,8,8,1,28,1,9,1,8,1,13,1,16,1,11,1,12,1,17,63,24,1,6,1,9,1,6,2,30,1,6,1,30,1,13,1,17,17,11,1,12,1,17,1,11,2,17,1,11,1,9,2,24,1,10,1,13,1,24,1,9,1,6,1,24,1,8,1,13,1,8,3,9,4,8,1,12,1,10,1,17,1,9,2,8,1,12,1,13,1,9,1,11,1,7,1,13,2,6,3,30,1,6,1,30,2,28,2,6,1,28,1,29,1,28,1,13,1,17,1,9,1,13,1,30,1,28,2,6,1,30,1,28,1,30,2,28,1,30,1,28,4,30,2,28,1,6,1,30,2,28,2,30,4,28,2,30,1,28,1,7,1,30,2,28,2,29,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,4,30,1,28,1,6,1,30,2,28,5,30,1,28,4,30,2,6,1,30,1,28,1,30,1,28,2,6,1,30,1,28,1,29,1,28,1,30,13,28,2,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,3,6,1,13,1,30,2,28,7,6,1,28,1,6,1,30,1,28,1,30,2,28,2,30,1,6,1,28,1,30,1,6,1,28,1,30,3,28,2,30,1,28,1,30,2,28,1,30,3,28,2,30,2,28,3,6,1,30,6,28,1,30,1,28,1,30,4,28,1,30,2,28,2,30,1,28,1,30,2,28,2,6,1,30,1,28,1,30,1,28,1,30,2,28,8,30,2,28,3,30,1,6,2,13,1,7,1,29,1,30,1,28,2,30,1,28,2,30,3,6,1,30,1,28,1,7,1,28,2,30,2,28,2,6,1,30,1,28,1,30,1,28,3,30,1,28,6,30,3,28,3,30,1,6,1,30,6,6,1,30,3,28,1,30,1,6,1,10,1,13,1,30,1,28,7,30,2,28,2,30,1,28,2,30,2,6,2,30,1,28,1,30,1,28,1,30,6,28,3,30,2,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,9,30,1,28,1,30,1,28,1,30,2,6,2,28,1,30,1,28,4,30,2,28,1,30,4,6,1,30,1,29,1,28,2,30,2,28,3,8,1,9,1,28,6,30,1,28,2,30,1,28,1,30,1,28,6,30,1,6,1,29,1,28,1,30,1,28,3,30,1,11,1,13,2,7,1,6,1,30,2,28,3,13,1,9,1,13,1,7,1,13,2,6,1,28,6,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,29,1,30,1,28,4,30,2,28,1,30,1,28,4,30,1,28,4,30,3,29,1,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,1,6,1,7,1,30,3,28,1,6,1,30,1,28,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,29,1,28,1,29,2,28,1,29,2,28,6,30,1,28,1,30,1,28,1,30,1,28,1,13,1,6,1,28,1,6,1,30,1,28,2,6,2,28,1,30,3,28,2,30,2,28,20,30,1,28,2,30,1,28,1,6,1,13,1,8,1,9,4,8,1,9,2,10,1,9,1,8,2,9,2,12,1,11,1,10,1,17,1,10,1,11,1,10,1,8,1,13,1,8,1,13,1,9,1,8,1,10,1,9,1,11,1,9,1,13,1,8,1,9,1,8,1,13,2,9,1,8,1,12,1,9,2,17,9,11,1,17,5,16,3,11,1,9,1,13,1,8,3,25,1,29,3,30,1,27,1,30,4,29,1,30,1,28,1,30,1,28,5,30,2,13,4,9,1,8,1,9,1,8,2,13,1,9,2,11,4,16,1,9,1,17,2,9,1,11,1,10,1,9,1,12,1,11,2,10,2,11,2,9,1,11,2,17,2,11,1,17,1,12,1,17,1,11,2,17,1,11,1,9,1,8,1,9,1,10,1,13,1,8,2,13,1,9,1,8,1,9,1,13,1,7,1,6,1,13,1,6,2,13,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,7,1,6,3,8,1,13,1,6,2,7,1,13,1,6,2,7,1,6,4,30,1,13,1,6,1,30,1,13,1,30,1,6,1,7,1,28,1,30,1,6,1,30,1,28,1,6,1,28,1,30,5,28,2,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,1,9,1,13,3,6,4,30,1,7,1,30,1,6,2,13,1,8,1,13,4,8,3,13,1,9,1,8,1,9,2,8,1,13,1,8,1,13,1,8,2,13,1,8,3,9,1,8,1,9,1,8,1,9,2,13,1,8,1,13,1,8,1,13,3,9,3,13,1,9,4,13,1,8,1,9,1,13,1,9,1,8,1,13,1,9,2,10,1,9,1,8,1,9,4,8,1,9,1,13,1,8,1,9,1,13,1,8,1,13,2,8,2,9,1,8,2,9,2,13,1,9,1,13,1,9,3,8,1,9,1,11,2,16,1,17,29,16,1,9,1,11,1,10,2,16,1,13,1,9,2,8,1,13,1,9,1,13,2,6,1,13,1,7,1,8,1,30,1,13,1,29,1,6,1,13,1,6,6,13,2,6,1,13,1,6,1,13,1,6,1,13,1,30,1,13,3,6,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,8,1,7,1,6,2,13,1,8,4,13,2,8,2,13,1,8,1,9,1,17,1,11,1,8,1,30,1,28,2,30,2,29,1,30,1,29,3,28,1,29,1,26,1,29,7,30,1,28,1,29,2,30,1,28,2,30,1,28,3,30,7,28,1,30,1,28,8,30,1,13,1,30,1,7,1,8,1,13,1,6,1,30,1,29,1,30,2,28,4,30,1,28,3,6,1,8,1,30,1,28,2,30,2,28,1,7,1,6,2,29,2,6,2,13,1,7,1,13,2,7,1,13,1,7,1,29,1,6,1,8,1,13,1,7,1,6,1,7,1,6,1,13,1,9,2,17,2,16,5,10,1,8,1,9,4,8,2,10,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,13,3,8,1,13,7,30,1,13,3,6,1,13,1,9,1,8,1,13,2,8,1,13,1,9,1,10,1,16,1,12,1,10,1,8,1,9,1,13,7,6,1,13,3,9,1,11,4,16,1,13,1,9,2,13,1,9,1,8,1,9,1,11,1,8,1,13,1,9,1,8,1,7,1,8,3,13,2,8,3,13,2,7,1,13,2,8,1,6,1,13,6,8,1,9,1,13,2,9,1,13,2,8,2,13,1,8,1,13,3,6,1,8,1,9,1,7,1,13,1,6,1,13,4,6,1,13,1,30,1,6,1,13,3,7,1,13,2,8,1,7,1,6,4,29,1,30,1,6,3,30,2,29,1,30,4,28,1,30,1,28,2,30,1,7,2,6,1,29,1,13,2,8,2,13,6,8,1,9,1,13,1,30,1,6,1,30,1,28,2,30,1,28,1,30,1,6,1,30,3,28,1,30,2,28,2,30,3,28,2,30,1,28,1,30,1,6,2,30,1,29,1,30,1,28,6,30,1,28,3,30,3,28,3,30,1,28,1,30,1,28,1,30,9,28,1,30,1,28,19,17,2,9,1,8,1,6,2,30,1,28,15,30,1,6,1,30,1,13,2,9,1,13,1,9,1,11,1,9,1,28,6,29,1,17,1,11,1,8,1,28,42,8,1,9,1,13,1,6,1,30,2,11,2,17,1,13,1,28,4,13,1,28,1,29,1,7,1,13,1,16,1,17,1,16,1,7,1,28,4,30,1,6,1,8,1,30,1,28,4,}, {24,1,28,42,29,1,28,1,29,1,28,3,30,2,28,3,13,1,16,1,17,1,9,1,6,1,29,2,30,1,28,1,6,1,12,1,7,1,29,1,13,1,30,1,13,1,8,1,10,1,12,1,17,1,11,2,12,1,11,1,10,2,6,1,28,6,30,1,17,1,9,1,6,2,29,1,6,1,30,2,9,1,17,2,16,1,9,1,11,1,9,1,13,1,8,1,13,1,6,1,9,3,10,1,11,2,8,1,13,2,7,1,6,1,7,1,8,1,7,1,28,38,7,1,10,1,9,2,8,1,30,1,28,4,29,1,28,1,9,1,17,7,16,1,9,1,8,1,10,1,13,1,8,2,9,4,8,1,13,1,24,1,13,1,8,2,9,1,12,1,17,1,9,2,16,1,17,1,9,1,28,16,13,1,11,1,17,11,24,1,15,3,12,2,24,5,25,3,8,1,25,4,8,1,25,1,8,3,25,2,6,2,28,5,7,2,9,2,12,1,11,1,10,1,12,1,11,1,17,11,11,2,9,1,13,1,8,1,13,1,9,1,8,1,13,1,6,2,29,1,6,2,30,1,6,1,30,1,6,2,29,1,6,1,29,1,30,1,29,2,6,1,28,1,6,1,8,4,10,1,8,2,29,1,13,1,8,1,13,1,7,1,6,2,13,1,6,1,7,1,6,1,7,1,13,1,6,2,13,1,7,1,6,1,7,1,6,2,7,1,13,2,7,1,8,1,13,2,7,1,6,2,7,1,6,1,13,1,6,1,13,4,8,1,13,1,8,4,24,2,8,3,13,2,8,1,13,2,9,1,8,1,13,2,8,2,9,1,8,1,9,1,8,1,10,1,9,1,8,1,10,1,8,1,10,1,9,2,12,1,11,1,12,1,11,1,9,1,17,1,10,1,11,2,9,3,10,1,9,2,11,1,10,2,8,1,9,1,10,1,9,2,10,1,9,2,10,1,12,1,8,4,10,1,11,1,7,1,24,1,13,1,10,2,8,1,9,1,24,1,13,1,8,2,13,2,8,1,9,1,8,2,24,1,8,2,9,2,24,1,13,1,24,1,8,2,9,1,13,5,6,1,7,1,29,1,13,1,7,1,13,1,6,1,8,1,13,5,8,1,7,1,13,3,7,1,29,1,6,1,13,1,7,1,6,1,13,1,7,2,8,2,9,1,7,2,6,2,8,1,13,2,10,1,17,1,12,3,17,2,12,1,17,1,12,1,17,1,12,1,17,2,11,1,10,1,12,1,10,1,11,1,10,1,9,1,17,7,12,1,17,2,11,1,8,1,9,1,13,1,9,4,8,1,9,2,11,1,8,1,11,1,8,1,12,1,8,1,11,1,12,1,11,1,10,1,17,1,11,1,17,10,16,1,9,1,13,3,7,1,13,2,6,2,13,16,6,2,13,5,6,1,7,1,13,1,6,1,13,3,9,1,17,12,11,1,9,1,10,1,9,1,10,1,9,1,11,1,9,1,8,2,9,2,11,1,10,1,9,1,17,1,9,1,11,3,12,3,17,1,12,2,11,1,9,1,10,1,8,1,10,1,9,1,11,2,9,1,17,1,11,2,8,1,9,3,10,1,9,1,11,1,9,3,11,1,9,1,11,2,12,1,11,1,10,1,11,1,10,1,11,1,9,1,17,1,11,1,9,1,12,1,9,1,12,1,9,1,8,1,11,2,13,1,8,1,9,1,13,1,8,2,13,1,9,1,8,1,13,2,7,1,13,3,24,1,8,1,13,3,8,1,9,2,7,1,13,1,7,1,6,2,7,1,29,1,7,1,6,2,13,2,6,1,7,1,8,1,6,1,13,3,8,2,7,1,9,1,10,1,11,1,12,7,9,1,17,1,11,1,10,2,9,1,11,1,9,1,10,1,9,1,10,2,9,2,8,1,9,1,10,1,12,1,10,1,9,5,10,1,12,2,24,1,9,3,10,2,9,2,11,2,10,1,12,1,10,1,9,1,17,1,12,2,11,1,12,1,17,4,9,1,17,1,11,1,17,3,12,1,17,1,11,1,10,1,17,2,11,1,17,8,13,1,30,1,13,1,10,1,6,1,9,2,17,5,9,1,17,53,11,1,17,4,13,1,7,1,8,1,30,1,29,1,30,2,6,1,13,1,17,15,11,1,17,4,11,5,9,1,24,1,9,1,24,1,8,1,24,1,13,1,9,1,8,1,24,1,9,1,10,1,8,1,13,1,24,1,13,1,9,1,10,1,17,1,12,1,9,2,24,1,9,1,8,1,9,1,13,1,11,1,13,1,30,2,6,1,30,3,28,1,30,1,6,1,13,1,30,2,6,2,13,1,16,1,17,2,9,1,13,1,6,1,13,1,6,1,30,2,28,1,30,2,6,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,3,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,4,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,29,1,28,2,6,1,30,3,28,1,30,1,28,4,30,3,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,6,1,30,1,6,1,9,1,30,1,28,5,30,2,28,2,13,1,28,1,30,1,28,2,30,1,28,2,6,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,5,28,1,30,1,28,2,30,3,28,2,30,3,28,2,30,1,28,3,30,2,28,1,6,1,30,1,28,1,30,5,28,3,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,2,6,1,30,1,13,3,6,1,30,2,28,1,29,1,30,9,28,3,30,2,28,1,30,1,28,1,30,2,28,5,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,2,30,2,28,2,30,4,6,1,30,3,28,3,30,1,13,1,9,1,8,1,28,8,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,2,28,1,30,2,6,1,30,1,13,1,6,1,28,1,6,1,30,3,28,2,30,1,6,1,30,3,28,5,30,3,28,6,30,1,28,1,30,1,28,3,30,1,28,2,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,6,30,2,28,1,30,2,28,2,30,1,6,1,8,1,6,1,28,1,30,1,28,6,30,1,28,2,30,1,28,4,30,5,28,4,6,1,9,2,6,2,28,2,30,1,28,3,30,1,28,1,6,1,8,1,9,1,13,1,28,9,6,1,28,1,30,1,28,11,30,2,28,5,30,2,28,5,30,1,28,4,30,1,28,2,30,2,28,1,30,2,6,3,30,2,28,1,30,4,28,1,30,1,6,1,29,1,6,1,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,3,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,2,6,1,30,1,28,5,30,1,28,2,30,2,6,1,30,1,13,2,30,1,6,1,7,1,28,2,30,3,28,1,6,1,30,1,13,1,28,2,30,1,28,14,30,1,28,2,30,1,28,6,30,1,8,2,13,1,9,3,8,1,10,1,11,1,9,1,10,1,8,1,9,1,8,1,9,3,10,1,17,1,11,2,8,1,9,1,13,1,8,3,17,3,10,1,9,2,8,2,9,1,13,3,9,1,8,1,9,1,11,1,9,2,11,1,17,11,16,1,17,1,11,2,10,1,17,1,9,1,8,1,24,1,8,2,27,1,29,1,27,1,29,3,30,2,29,1,30,2,28,2,30,1,28,6,30,1,13,1,8,3,13,1,9,1,8,2,9,1,8,1,9,1,10,1,9,1,10,1,11,1,16,1,11,1,9,1,12,1,9,1,11,1,12,1,9,1,12,1,9,1,12,1,11,1,17,2,9,2,11,3,9,3,11,1,12,1,9,1,11,1,10,1,9,1,11,1,9,1,8,1,9,1,13,1,9,1,10,1,13,1,8,1,9,1,13,3,7,1,13,3,7,1,13,3,6,3,13,4,6,1,13,2,6,1,13,2,7,1,13,2,7,1,13,2,6,1,13,2,6,1,7,1,6,3,13,2,29,1,6,2,29,1,30,2,6,3,30,3,28,2,30,3,6,1,28,1,29,1,30,4,28,12,7,1,9,1,6,7,30,1,6,2,29,1,13,2,6,1,13,3,8,1,13,2,9,1,8,1,9,1,13,1,8,1,13,1,8,1,9,1,13,2,6,1,8,1,9,1,13,3,8,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,13,2,8,3,13,2,9,2,13,1,9,3,12,1,9,1,8,1,9,1,8,2,13,1,8,3,9,1,13,1,8,2,13,1,9,2,8,1,13,1,9,1,13,3,8,2,13,1,9,1,8,1,9,2,8,1,9,3,8,5,9,1,8,1,9,1,16,2,17,29,11,2,12,1,9,1,11,1,12,1,10,1,9,1,11,1,9,1,13,3,7,1,13,3,6,1,13,2,6,3,7,1,13,1,6,1,13,1,30,1,13,1,30,1,13,1,30,1,6,1,28,1,6,3,13,1,6,1,7,1,6,3,7,1,6,2,13,1,6,1,13,1,7,1,13,1,7,1,8,1,13,4,9,1,13,1,9,1,8,1,13,1,8,2,9,1,17,1,12,1,13,1,28,5,29,1,28,1,30,4,28,1,30,1,28,1,30,1,29,3,6,2,30,1,29,3,30,1,28,5,30,2,28,3,30,1,29,1,30,2,29,1,30,1,28,4,30,1,28,2,30,1,13,1,9,2,8,1,13,1,29,1,6,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,6,1,13,1,28,1,29,1,30,2,6,1,29,1,6,3,29,1,6,2,13,2,6,1,7,1,29,1,6,1,13,3,7,1,30,1,13,3,7,1,13,3,17,3,16,1,17,1,11,1,16,1,17,1,9,3,8,1,9,5,13,1,10,1,9,1,8,1,9,1,7,1,13,5,8,1,13,7,7,1,13,1,7,1,13,1,8,1,7,1,13,1,8,1,13,2,8,1,9,1,10,1,11,1,16,1,9,1,8,1,9,1,13,1,8,2,13,5,6,1,13,2,9,2,16,1,17,1,9,2,16,1,10,1,11,1,10,1,8,1,11,2,9,1,13,1,8,2,9,2,8,1,9,1,13,1,9,1,13,2,8,1,13,1,8,2,13,2,9,1,6,1,13,2,8,1,13,3,8,2,13,1,9,1,13,3,8,1,13,2,8,1,6,1,13,2,8,1,13,1,9,1,13,1,6,2,7,1,13,1,6,2,13,2,6,1,13,2,6,1,7,1,6,1,13,3,30,1,6,1,30,1,29,2,30,1,29,1,13,1,6,1,29,1,30,1,6,1,29,1,6,1,30,1,29,1,30,1,28,1,30,1,29,1,30,1,6,1,7,1,30,1,7,1,13,1,8,2,13,2,8,1,13,2,8,1,13,1,8,1,13,1,6,1,7,1,13,1,30,1,28,1,30,1,28,2,30,4,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,3,29,1,6,1,13,1,29,1,30,2,28,1,30,2,28,2,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,3,30,1,6,1,30,1,28,1,30,4,28,20,6,1,17,1,16,1,13,1,7,1,13,1,7,1,29,1,28,3,30,2,28,10,30,1,13,1,6,2,9,5,13,1,28,6,13,1,16,2,6,1,28,42,13,1,12,1,13,1,29,1,28,1,30,1,8,1,16,1,17,1,8,1,28,5,8,1,6,2,13,1,11,1,17,1,11,1,28,6,8,1,13,1,28,5,}, {8,1,28,43,6,1,28,9,6,1,11,1,17,1,8,2,13,1,29,1,6,1,30,1,13,1,8,2,28,1,30,1,6,2,9,1,12,1,17,1,10,1,17,1,12,1,16,1,10,1,12,1,9,1,13,1,28,6,30,1,8,1,9,1,8,1,29,2,6,1,30,1,6,1,8,1,17,2,16,1,11,1,16,1,8,1,13,1,7,1,8,2,9,1,13,1,17,1,9,1,16,1,17,1,13,1,6,1,13,1,6,3,13,1,24,1,28,38,8,1,9,2,10,1,9,1,6,1,28,4,29,1,13,1,8,1,17,5,16,1,17,1,9,1,8,1,9,2,11,1,9,3,12,1,10,1,9,1,8,1,9,1,8,1,9,4,10,1,17,1,12,2,11,1,17,1,16,1,28,16,6,1,11,1,17,9,12,2,15,1,12,2,15,1,12,1,24,1,15,1,24,1,12,3,24,1,8,1,26,1,25,1,8,1,25,3,27,2,25,1,26,1,25,2,8,1,26,1,29,1,7,1,28,3,30,1,13,1,9,1,12,2,10,1,17,1,12,2,17,9,16,1,17,3,11,1,9,3,8,1,9,1,13,2,6,1,29,1,6,1,29,1,6,2,29,1,6,1,29,1,6,1,29,1,6,1,30,1,7,1,6,1,29,4,13,1,8,2,24,1,6,1,13,1,6,1,13,1,7,1,6,5,13,1,6,3,7,1,13,1,6,2,13,2,8,1,7,1,13,2,7,1,13,3,6,2,13,1,6,1,29,1,6,2,13,1,7,2,13,2,8,1,13,2,8,2,13,1,8,1,13,1,8,1,13,1,9,2,24,1,9,1,8,2,13,1,8,1,24,1,13,1,8,2,9,1,8,1,10,1,8,1,9,1,8,2,10,1,8,1,10,2,11,1,12,1,9,1,11,2,12,2,17,1,12,3,9,2,11,1,12,1,9,2,8,1,11,1,9,1,10,1,11,1,12,1,9,2,8,1,9,2,8,1,9,1,8,1,9,3,13,2,24,1,8,1,13,4,9,2,24,1,9,2,8,1,24,1,12,1,8,1,24,2,13,1,24,1,8,1,13,1,8,1,7,1,8,3,9,1,8,1,24,1,8,2,24,1,8,1,13,1,24,1,29,1,7,1,13,1,8,1,13,5,8,1,13,1,7,1,8,1,6,1,13,1,7,1,6,1,13,1,8,1,13,5,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,2,11,1,17,2,9,1,11,1,9,1,17,2,11,1,9,1,17,2,11,1,17,2,12,1,17,2,12,1,17,1,9,1,17,1,12,1,11,1,17,1,9,1,10,1,17,1,11,1,12,1,9,2,10,1,9,1,11,1,9,1,10,1,9,1,8,3,9,1,8,1,13,2,11,1,9,1,13,1,9,1,8,1,9,1,11,1,9,1,11,1,17,1,11,1,17,1,12,1,17,9,10,1,8,1,13,10,7,1,6,1,13,3,7,1,6,1,13,1,7,1,13,2,6,1,7,1,13,4,6,1,13,1,6,1,13,3,7,2,13,3,9,2,17,7,12,1,17,3,9,1,11,4,9,3,11,1,13,1,9,1,8,1,9,3,11,2,9,1,11,2,17,1,11,1,17,2,8,1,9,1,11,1,9,1,11,2,9,2,8,1,10,1,11,2,17,1,9,1,12,1,11,1,9,1,10,1,13,1,10,1,9,1,11,1,17,1,9,2,11,2,9,5,17,1,9,1,11,1,10,1,11,1,10,1,11,1,17,2,9,1,8,1,9,1,8,1,9,2,10,1,13,1,9,1,8,1,24,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,13,4,6,1,8,1,13,2,7,1,9,1,7,2,13,1,6,3,7,3,13,1,6,1,13,2,8,1,30,1,13,2,6,1,8,1,10,1,9,1,11,1,10,3,12,1,17,2,11,1,9,1,12,1,11,1,9,1,11,1,10,1,9,1,10,1,11,1,9,1,10,1,9,5,12,1,9,2,12,1,9,4,10,1,8,1,9,1,24,1,9,1,11,1,10,2,9,1,13,1,24,1,12,1,11,1,12,1,9,1,11,2,9,1,11,1,9,1,10,1,11,2,10,1,9,1,17,1,11,1,10,1,12,1,17,1,10,1,11,1,17,1,11,2,17,1,12,1,17,8,12,1,17,3,28,1,7,1,13,1,9,1,7,1,13,1,8,1,17,1,12,1,17,3,24,1,16,1,17,57,8,1,13,1,6,1,30,2,29,1,30,1,28,1,11,1,17,16,12,1,17,1,12,1,10,1,17,1,9,1,12,1,17,1,9,1,11,1,8,1,9,1,13,1,8,1,24,1,8,1,24,1,8,1,9,1,8,3,9,1,8,1,11,2,12,1,11,1,24,1,9,1,24,2,9,1,24,1,8,1,9,2,8,1,30,5,29,1,13,1,6,1,7,1,13,2,6,1,28,1,6,1,13,2,16,2,6,1,30,2,28,1,6,2,30,1,28,1,30,3,28,1,30,1,28,5,6,1,28,2,30,1,28,3,30,3,28,2,30,1,28,1,6,1,30,2,28,1,6,1,28,1,30,1,6,1,28,1,30,2,28,9,13,1,28,7,30,1,28,3,30,2,6,1,30,1,28,1,30,4,6,1,28,1,30,1,28,3,30,3,28,1,30,2,28,1,6,1,30,1,28,2,30,2,28,1,30,2,28,6,30,1,28,3,30,1,28,1,6,1,17,1,30,1,28,2,30,1,28,5,30,1,8,1,28,1,6,1,28,1,30,1,6,1,30,9,28,1,30,4,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,4,6,1,30,4,28,1,30,2,6,1,28,1,30,1,28,1,30,1,28,1,30,5,28,1,30,1,28,1,30,1,6,1,30,1,28,2,30,3,28,2,30,1,28,3,30,1,28,3,30,1,28,3,30,2,13,2,6,2,13,1,28,2,30,2,28,1,30,1,6,1,30,4,28,1,30,2,28,2,30,4,28,1,30,1,6,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,6,1,30,1,28,1,30,2,6,1,30,3,13,1,6,2,30,2,6,1,30,2,13,4,28,2,30,1,28,2,30,1,28,3,29,1,30,3,6,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,3,28,11,30,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,6,1,28,1,6,1,30,2,28,1,30,1,28,2,6,1,30,1,28,1,6,1,13,2,6,1,28,1,30,1,28,3,30,1,6,1,28,4,30,1,28,1,30,1,28,2,29,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,13,2,9,1,13,1,28,2,30,1,28,9,13,1,11,1,6,1,28,7,30,1,28,9,30,2,28,7,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,5,30,4,29,1,6,2,13,2,6,1,30,4,28,2,30,1,28,3,30,2,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,4,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,2,30,3,6,1,28,8,6,1,13,1,6,3,7,1,6,3,30,1,28,5,6,1,30,1,28,27,30,1,8,1,9,3,8,1,9,1,8,2,9,3,8,1,13,1,8,2,9,1,10,1,11,1,10,1,9,1,10,1,9,1,12,1,8,3,10,1,12,1,9,1,17,1,12,1,11,1,8,2,13,1,9,1,8,1,13,5,9,1,11,1,10,1,11,2,9,1,11,1,17,3,16,1,17,6,16,1,17,1,12,1,17,1,10,1,11,1,9,1,8,2,24,1,30,1,27,1,29,1,30,1,29,1,30,1,28,1,30,2,29,1,30,1,28,7,30,1,28,1,30,1,9,1,8,1,13,1,8,1,9,1,13,1,9,1,8,3,9,4,11,5,16,1,10,2,11,2,9,1,11,2,10,1,12,3,11,1,17,1,9,1,10,1,12,1,17,1,16,1,10,1,9,1,12,1,9,1,11,1,9,1,11,2,9,5,8,1,9,1,8,1,13,1,6,1,13,1,6,1,13,4,30,1,28,1,7,1,13,2,6,3,30,1,13,6,6,1,13,2,6,2,13,2,6,1,7,1,6,3,13,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,30,1,13,1,29,1,28,1,30,3,28,3,30,1,28,2,6,1,28,1,30,2,28,2,29,1,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,3,6,1,13,1,30,1,6,1,7,2,6,2,30,1,29,1,30,2,6,2,13,4,9,1,13,2,9,1,8,1,13,1,8,1,13,1,9,2,13,1,8,2,13,2,8,1,7,1,13,3,8,1,13,3,8,2,13,2,8,3,24,1,13,1,8,1,13,2,7,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,11,2,17,1,11,1,8,1,9,1,13,1,9,1,8,1,9,2,13,1,9,1,13,2,9,1,13,4,8,1,9,2,8,1,9,2,8,1,9,3,8,1,9,2,8,1,9,1,8,1,9,3,13,1,16,1,11,1,17,27,11,1,16,1,11,1,12,1,11,1,9,3,10,1,8,1,9,1,8,1,9,1,13,1,7,1,13,2,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,4,29,1,13,1,6,1,13,2,6,1,13,3,6,1,13,1,6,1,7,1,13,2,6,1,13,1,6,1,13,6,7,1,9,1,8,2,9,3,13,1,8,1,9,1,13,2,11,1,17,1,11,1,7,1,28,2,29,1,28,1,27,1,28,2,29,1,28,1,30,1,29,1,30,1,29,2,30,2,29,1,6,1,29,2,30,1,6,1,30,1,6,1,29,1,30,1,28,1,30,1,28,2,30,1,28,2,29,1,28,1,29,1,30,1,29,1,30,4,28,3,30,1,28,2,30,1,9,1,13,1,9,1,13,1,7,1,29,2,30,2,28,1,30,3,28,1,30,1,29,1,6,1,29,1,6,1,13,1,30,3,28,1,6,4,7,1,6,2,7,1,6,2,13,2,7,1,13,1,7,2,6,1,13,2,6,2,13,4,10,1,17,4,16,2,17,2,10,1,8,1,11,1,9,5,13,1,9,3,13,1,10,1,13,6,7,1,13,2,7,1,13,3,7,1,6,1,13,1,8,1,13,6,7,1,9,1,10,1,16,1,10,1,11,1,9,3,13,5,7,1,8,2,13,3,8,2,9,1,8,1,11,1,9,1,12,1,11,1,16,1,12,1,9,3,11,1,8,1,9,2,13,1,9,2,13,2,8,1,13,1,8,2,9,2,13,1,8,1,13,2,8,1,9,1,8,1,13,3,7,1,9,2,13,1,9,1,13,1,9,1,8,1,13,1,9,2,8,1,13,1,8,1,6,1,7,1,13,7,6,1,13,2,6,2,7,1,13,1,7,1,13,2,7,1,13,2,7,2,6,1,30,1,28,2,6,3,30,3,6,2,29,1,6,1,30,2,6,1,7,1,6,1,13,1,7,1,6,1,13,1,8,1,13,9,30,1,6,1,28,2,6,1,28,1,30,4,28,1,30,4,29,1,28,1,30,1,6,1,30,3,28,1,6,1,30,1,28,2,30,1,29,1,6,1,28,1,30,2,6,2,28,3,30,1,28,3,30,1,28,6,30,1,28,4,30,1,29,1,30,2,28,2,30,1,29,1,30,1,28,21,9,1,17,2,9,1,13,1,6,1,7,1,28,15,30,1,29,1,30,1,8,1,13,1,8,1,9,2,11,3,28,7,9,2,13,1,28,42,9,2,6,1,30,2,6,1,13,1,17,1,11,1,9,1,30,1,28,4,8,1,29,2,10,1,17,2,16,1,28,6,6,1,30,1,28,5,}, {15,1,29,1,28,41,29,1,6,1,28,2,30,1,28,6,13,1,11,1,17,1,16,1,29,2,30,3,6,1,9,1,13,1,30,1,6,1,30,1,29,1,8,1,11,1,17,4,11,2,9,2,8,1,28,7,9,2,13,1,7,1,28,2,6,2,8,1,17,2,16,1,11,1,17,1,11,1,9,1,13,1,7,2,8,1,9,1,8,1,12,1,16,2,9,1,13,1,6,4,8,1,13,1,28,37,29,1,24,1,9,1,10,3,30,1,28,4,6,1,29,1,9,1,17,7,11,1,9,1,8,1,11,1,9,1,8,1,11,1,9,1,11,1,24,1,8,3,9,3,8,1,12,1,10,1,11,1,17,2,16,1,17,1,16,1,6,1,28,15,6,1,11,1,17,9,12,3,17,1,12,1,17,1,12,1,17,1,15,1,12,2,24,1,12,2,15,1,12,1,8,1,24,1,8,1,24,2,25,2,27,5,26,1,6,1,7,1,30,1,28,2,6,1,13,1,9,1,17,1,12,2,17,2,12,1,17,12,16,1,9,1,11,1,9,2,8,1,13,3,6,3,29,1,6,1,29,1,30,1,6,6,7,1,6,1,7,1,29,2,13,1,24,1,13,3,8,1,6,2,13,2,6,1,13,6,7,1,6,1,13,1,6,1,8,1,7,1,8,4,7,1,24,1,13,2,8,1,13,1,9,1,8,1,9,1,6,1,8,1,7,1,13,3,24,1,6,1,7,1,24,1,13,2,8,1,7,1,24,1,8,1,9,1,8,1,13,3,8,4,24,1,8,2,9,1,8,1,24,1,9,1,11,1,9,2,8,1,9,1,10,1,9,1,10,1,8,1,9,1,10,1,11,1,10,5,17,1,9,1,12,1,9,1,12,1,10,2,12,1,9,1,8,1,9,1,10,3,11,1,8,1,9,2,8,1,9,1,8,1,9,1,12,1,13,1,9,1,10,1,8,1,9,1,8,1,9,1,24,1,9,1,13,2,8,1,24,1,13,1,9,1,8,1,11,1,13,2,24,2,9,1,13,2,24,1,8,1,24,1,8,1,9,1,24,1,8,1,24,2,8,1,13,1,24,1,8,1,13,1,8,1,6,2,8,1,13,1,7,2,13,1,8,2,24,1,8,3,13,3,6,2,7,2,13,1,6,1,13,2,8,1,13,3,9,1,8,1,9,1,12,1,11,1,17,2,11,1,17,5,9,1,17,1,10,1,11,4,12,1,17,1,12,2,17,1,10,1,12,1,10,1,9,4,11,1,13,2,9,4,8,1,9,1,8,1,9,1,8,2,9,1,8,1,9,1,8,1,9,1,10,1,9,1,8,1,9,3,8,1,11,1,9,1,10,1,11,1,12,1,17,4,10,1,17,7,11,1,13,2,6,1,13,11,7,1,13,1,7,3,13,3,8,1,13,1,6,1,13,1,7,1,13,1,6,1,7,1,13,2,7,2,13,3,6,1,8,2,9,1,11,1,17,8,12,1,17,1,11,3,12,1,9,2,11,1,9,1,8,1,9,7,10,2,9,2,17,1,9,3,10,1,12,1,11,1,9,1,12,1,11,1,9,1,13,1,8,2,11,3,10,1,9,1,8,1,9,1,12,1,10,1,9,1,11,1,9,1,17,1,11,1,10,1,12,1,9,1,12,1,17,1,8,1,17,1,9,1,8,1,10,1,17,1,9,1,17,2,11,1,8,1,9,1,12,1,8,1,13,1,9,1,11,1,9,1,10,1,13,1,9,3,8,1,9,1,13,2,9,1,13,2,6,1,7,1,13,2,7,1,6,1,8,1,13,3,8,1,6,1,29,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,13,1,6,1,8,2,13,1,6,1,13,2,8,1,9,3,11,1,9,1,11,1,9,2,11,1,12,1,17,1,9,2,10,2,11,1,24,1,11,1,8,3,9,1,10,1,9,3,11,1,9,1,17,1,10,1,9,1,10,1,9,1,10,1,9,2,10,1,9,1,12,1,8,1,9,1,8,1,24,1,17,1,9,2,11,3,10,1,11,2,12,1,11,2,17,1,12,1,17,1,12,3,9,2,10,1,17,1,10,1,17,2,11,1,12,1,11,1,10,1,17,1,10,1,17,1,11,1,17,5,9,1,28,1,30,1,6,1,11,1,13,1,6,1,7,1,24,1,12,1,17,3,13,1,24,1,17,57,7,1,6,1,13,1,6,1,29,1,30,3,10,1,17,8,12,1,17,7,11,1,17,1,12,1,17,1,11,3,9,3,10,1,11,1,9,1,24,1,13,2,9,1,8,1,7,1,8,2,10,1,13,1,10,1,12,1,17,1,11,1,9,1,10,1,8,1,10,1,8,1,13,1,10,1,9,1,8,1,9,1,13,1,28,1,6,1,28,2,6,1,30,2,29,1,6,2,28,4,30,1,28,2,30,2,28,2,30,1,9,1,28,1,30,1,6,1,29,1,30,3,28,6,30,1,6,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,29,1,30,1,28,1,29,1,28,1,30,1,29,1,28,1,30,1,28,1,6,1,30,2,28,1,30,2,28,3,30,3,28,2,30,1,28,4,30,2,28,1,6,2,30,6,6,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,2,6,1,28,2,30,2,6,1,28,1,30,1,6,1,28,2,30,2,28,1,30,2,28,1,30,1,28,5,30,2,9,1,30,1,28,4,30,1,28,1,30,3,13,1,28,5,30,2,28,1,6,1,30,2,29,1,30,1,28,1,30,3,6,1,28,1,30,6,29,1,28,1,30,6,28,1,6,1,28,2,30,3,28,1,6,1,28,2,29,1,28,1,30,1,28,5,30,2,28,1,30,2,28,1,30,2,28,1,30,2,28,5,30,1,6,1,28,6,30,1,13,4,30,1,28,1,30,1,28,1,30,1,28,1,30,7,28,2,30,1,28,2,6,1,28,1,30,1,28,2,30,1,6,2,28,4,30,1,28,2,30,3,28,2,30,1,29,1,30,1,6,1,28,2,30,2,13,2,30,1,28,1,30,3,6,1,13,2,8,1,13,1,6,1,28,10,30,1,28,1,30,4,28,5,30,1,28,2,30,2,29,1,30,1,6,1,30,1,29,1,28,2,30,1,28,3,30,3,28,6,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,7,6,1,28,1,30,2,29,1,28,1,29,1,6,1,30,2,6,1,30,1,28,6,30,1,6,1,30,1,6,1,13,1,30,1,6,1,7,1,28,10,6,1,28,3,30,1,28,1,30,1,28,5,6,1,13,3,6,1,28,3,30,1,28,5,30,1,28,1,30,2,29,1,6,1,30,1,28,1,30,1,28,18,30,2,28,4,30,1,28,1,30,1,28,5,30,1,28,4,30,1,29,1,30,1,28,2,30,1,6,4,30,2,28,1,30,2,28,1,30,5,28,1,6,1,28,4,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,9,6,2,13,1,6,8,28,5,29,1,13,1,28,4,30,1,28,21,6,1,13,1,9,2,10,1,11,1,9,3,10,1,8,1,9,3,8,2,9,1,10,2,11,1,9,2,10,1,11,1,9,1,24,1,12,1,24,1,12,1,11,1,17,1,12,1,9,1,10,1,9,1,13,1,8,2,13,1,8,1,13,3,8,1,9,1,8,1,11,1,10,2,9,1,13,1,9,2,16,4,11,4,16,1,17,1,11,1,17,1,10,1,11,1,9,1,8,1,13,1,25,1,29,1,27,1,29,2,30,2,28,1,30,3,28,10,7,1,8,1,13,1,8,1,13,1,8,2,13,1,9,3,10,1,9,1,17,1,11,3,10,1,11,3,9,2,12,1,11,1,9,1,12,1,11,2,16,1,10,2,9,1,12,1,10,2,11,1,9,1,11,1,9,1,11,3,9,1,10,1,9,3,8,1,10,1,8,1,9,1,13,1,9,2,10,1,13,3,7,1,13,4,9,1,6,1,7,1,6,1,13,4,8,1,7,1,13,1,6,3,13,1,6,4,13,1,6,1,7,1,13,1,30,1,6,3,7,1,6,1,30,2,28,1,6,1,29,1,6,1,30,2,29,1,30,1,6,1,28,3,6,1,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,3,28,1,30,1,28,3,30,1,28,3,13,1,7,1,28,2,30,1,6,1,28,1,13,1,29,1,30,4,6,1,29,1,6,1,7,1,6,1,13,2,9,1,13,1,9,1,13,2,8,1,13,3,9,1,13,1,8,1,9,1,6,1,13,5,7,1,13,1,9,1,8,1,13,3,8,1,7,1,13,1,9,1,13,1,24,1,9,1,13,1,8,3,9,1,13,1,10,1,11,1,8,2,9,9,8,1,9,1,13,2,8,1,13,1,8,1,13,1,8,2,9,1,13,2,8,3,13,1,9,1,8,2,9,1,8,2,13,1,9,1,13,1,9,5,11,1,16,1,17,27,11,1,17,1,9,1,16,1,9,1,16,1,11,2,9,1,10,1,9,1,8,1,9,1,13,3,6,2,13,1,6,2,13,1,30,1,6,1,7,1,6,4,13,1,6,2,13,1,6,2,13,1,30,1,13,2,6,1,7,1,13,1,7,1,6,3,13,1,6,1,13,6,7,1,13,2,9,3,13,2,9,3,8,1,9,1,12,1,6,2,28,1,6,1,30,2,29,2,30,1,28,1,29,1,30,1,28,1,29,1,30,1,27,1,30,1,29,1,30,1,28,1,30,1,29,1,30,1,29,2,30,1,29,1,6,1,30,4,29,1,28,2,29,2,28,1,30,1,28,1,30,1,28,6,30,1,28,2,30,1,9,1,24,2,6,1,30,1,29,1,30,1,29,1,28,1,30,1,28,4,6,1,28,1,30,1,28,1,30,6,6,1,30,1,7,1,30,1,6,1,7,1,6,1,13,1,7,2,6,1,30,1,6,1,7,2,13,1,6,3,13,1,6,1,13,1,7,1,13,1,8,1,17,7,11,1,10,1,9,2,10,1,9,3,13,1,9,2,8,1,13,1,8,1,13,1,9,1,6,1,13,6,7,1,13,1,6,1,13,3,7,1,13,2,6,2,13,3,7,1,13,3,11,1,16,1,11,1,12,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,13,4,6,1,13,3,8,1,9,1,10,1,12,1,11,3,9,3,8,3,9,1,13,1,9,1,13,3,8,2,13,1,8,1,13,5,9,1,13,2,8,1,7,1,8,1,13,2,9,1,10,1,8,1,9,2,8,2,9,2,8,2,13,1,8,1,13,1,9,2,8,1,9,2,8,1,13,1,8,1,13,2,8,1,6,1,8,2,13,5,9,1,13,2,9,1,6,1,30,1,6,1,13,1,7,2,6,1,30,1,6,1,13,1,6,1,29,1,6,2,30,1,29,1,6,1,7,3,13,1,8,2,13,4,9,1,13,3,6,2,28,1,30,1,28,1,30,2,6,1,30,1,28,3,30,2,28,1,30,2,28,2,30,5,28,2,6,1,30,1,28,2,6,1,30,3,28,1,30,1,6,1,30,2,28,2,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,5,30,2,6,1,28,1,30,2,28,1,30,2,28,22,13,1,17,1,16,1,13,1,8,1,7,1,6,1,29,1,28,2,30,1,28,1,29,1,28,11,13,2,8,2,11,1,8,1,9,1,17,1,13,1,28,6,30,1,9,1,16,1,8,1,13,1,28,41,9,3,6,1,28,1,29,1,9,1,17,1,16,1,13,1,28,4,30,1,7,1,30,1,28,1,8,1,17,1,16,1,8,1,28,6,6,2,28,5,}, {9,1,28,42,30,1,28,1,30,1,28,7,30,1,6,1,9,1,17,1,16,1,24,1,7,1,29,1,28,1,30,1,8,3,6,2,29,1,13,1,9,2,17,1,16,1,17,1,16,2,11,1,9,1,7,1,13,1,30,1,28,5,30,1,12,1,9,1,13,2,30,4,13,1,17,4,11,1,17,1,8,1,13,4,8,2,12,1,17,1,16,1,8,2,6,1,30,1,6,2,13,1,8,1,28,37,30,1,6,1,11,1,13,1,9,2,13,1,28,5,13,1,9,1,17,6,16,2,11,1,9,2,12,1,13,1,9,1,13,2,8,1,13,1,8,1,7,1,8,2,9,1,11,1,9,2,17,3,11,1,17,2,6,1,28,15,6,1,8,1,17,8,12,1,15,1,10,1,12,4,15,1,24,1,12,2,17,1,12,1,24,1,12,1,24,1,12,1,24,1,12,1,24,1,8,1,25,1,8,1,25,1,26,2,27,3,26,1,25,1,6,1,30,1,6,1,29,1,13,1,10,1,8,1,9,1,12,1,17,1,12,1,10,1,17,12,11,1,17,1,10,1,9,3,13,2,6,1,13,1,6,2,30,1,6,1,30,1,7,1,29,1,6,1,30,1,29,1,6,1,29,1,6,5,30,1,7,1,9,1,13,2,8,1,13,4,6,1,13,1,8,1,13,4,8,1,6,1,13,2,7,1,8,1,13,1,8,2,7,1,13,1,8,3,7,1,13,1,7,1,13,1,8,1,13,1,8,1,13,3,7,2,13,2,8,1,13,1,8,1,24,1,8,1,24,1,13,1,9,1,24,1,13,1,9,1,24,1,13,1,8,1,9,1,24,1,9,1,13,1,8,1,9,1,8,1,9,1,24,1,8,1,9,2,8,1,9,5,12,1,11,1,9,1,17,1,9,1,10,1,9,1,12,1,11,1,17,1,9,2,11,1,17,1,11,2,9,1,11,1,9,4,10,1,11,1,10,1,9,1,11,1,10,1,9,2,10,1,11,1,10,1,9,2,8,1,9,1,13,1,8,1,10,1,8,1,9,1,8,1,9,1,13,1,24,2,8,1,24,1,10,1,24,1,10,1,8,2,9,1,8,1,13,1,9,1,13,1,8,2,13,1,8,1,9,1,8,1,9,1,24,1,13,1,24,1,13,1,24,2,8,1,13,1,8,2,13,1,24,2,13,5,7,2,6,1,7,4,6,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,17,6,11,1,9,1,8,1,9,1,11,1,9,2,10,1,9,1,10,1,9,1,10,1,11,1,10,1,12,1,10,1,11,1,8,1,24,1,12,1,10,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,8,4,9,2,13,1,9,2,8,1,9,1,13,1,8,2,9,1,13,1,8,2,9,1,8,1,10,1,12,1,17,1,9,1,17,1,12,1,17,2,12,1,17,7,9,1,8,1,13,13,8,1,13,1,7,1,13,2,7,1,13,1,6,1,13,5,6,1,9,1,6,2,13,2,6,1,13,6,9,1,17,11,9,1,12,1,9,1,11,1,9,3,8,1,9,1,8,1,9,1,10,1,9,1,13,1,9,2,10,1,9,1,11,1,9,1,11,1,10,1,12,1,11,1,12,1,11,1,9,3,11,2,9,3,10,1,9,1,17,1,11,1,9,1,10,1,11,1,13,1,9,2,8,1,17,1,12,1,9,3,17,1,9,4,8,1,17,1,8,1,10,1,11,1,9,1,12,1,11,1,10,1,17,1,10,1,9,1,8,1,9,1,8,1,10,1,13,1,8,1,10,1,8,1,24,1,9,1,8,4,13,2,7,1,13,3,29,1,8,1,13,1,8,1,7,1,6,1,24,1,6,1,13,1,7,3,13,2,8,1,30,1,13,1,7,1,13,2,7,1,13,1,7,1,13,1,8,2,9,1,13,1,9,1,8,1,11,1,17,1,10,1,11,1,9,1,10,1,11,1,9,1,13,2,8,1,9,1,8,1,9,2,8,1,9,1,12,1,9,6,17,1,9,2,17,1,11,1,8,1,10,1,9,1,17,1,9,5,11,1,10,1,12,1,9,1,17,1,9,1,11,2,9,1,11,1,10,1,12,1,11,1,9,1,10,1,17,2,9,1,12,1,17,1,12,1,11,1,12,1,17,1,11,1,17,2,11,1,12,2,11,2,17,7,9,1,30,2,28,1,8,1,13,1,6,1,7,1,8,1,17,4,24,1,8,1,17,57,13,1,30,1,6,1,28,1,6,1,30,1,29,1,6,1,17,11,12,2,17,3,16,1,12,1,17,2,11,2,12,4,9,2,10,1,11,1,8,1,24,1,9,1,8,2,13,1,8,1,13,1,9,2,11,1,9,1,17,1,12,1,9,1,10,1,24,2,8,1,9,1,8,2,9,1,8,2,30,1,28,1,30,1,29,1,28,2,30,3,28,1,29,1,28,11,8,1,6,1,30,2,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,2,28,1,30,3,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,2,6,1,30,2,28,2,29,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,2,6,1,30,4,28,1,30,1,28,1,30,6,6,1,28,1,30,1,28,3,30,3,28,1,30,1,28,1,30,1,6,3,28,1,30,1,28,2,30,2,28,1,30,2,6,1,30,5,28,2,30,1,28,1,30,2,6,1,28,1,6,1,30,1,28,1,30,1,28,2,30,2,28,1,29,1,30,1,28,4,30,5,28,1,30,2,28,2,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,2,30,2,6,1,30,1,6,2,30,1,28,3,30,1,28,1,30,2,6,1,29,1,13,1,29,1,30,2,6,1,30,1,13,3,28,5,30,1,6,2,30,2,28,4,30,1,28,4,30,2,28,2,30,2,6,1,30,1,28,1,30,1,28,3,6,1,30,3,28,1,30,2,6,1,28,1,30,2,28,1,30,1,7,1,13,1,30,4,28,1,30,2,13,4,6,1,30,1,28,1,30,1,28,5,30,1,28,3,30,2,28,2,30,1,28,1,30,3,28,2,30,4,6,1,28,1,29,1,30,1,28,9,6,1,28,1,30,3,28,2,30,2,28,2,30,1,28,1,30,1,28,3,30,3,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,3,29,1,30,2,28,5,6,3,13,1,28,1,30,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,3,13,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,13,1,9,1,13,1,30,1,28,13,30,1,28,1,30,2,28,1,6,1,28,5,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,5,30,1,28,1,30,1,28,4,30,1,28,7,6,1,30,1,28,2,30,3,29,1,6,1,30,7,28,1,29,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,1,30,2,28,1,30,1,28,6,6,1,28,1,30,2,28,6,30,1,28,2,30,2,28,6,30,2,6,2,30,4,6,1,29,1,30,1,9,1,30,2,28,5,6,1,28,16,30,2,28,8,6,1,9,5,8,1,9,1,10,1,9,1,10,1,11,1,13,1,8,1,13,1,8,1,11,1,10,1,9,1,17,1,10,1,9,1,11,1,10,3,11,1,8,1,11,1,17,2,11,2,9,1,13,1,9,1,13,2,9,1,13,4,8,1,13,1,9,1,11,1,10,1,9,3,8,1,9,3,11,1,17,1,11,3,16,1,17,1,16,1,17,2,9,1,10,1,9,1,6,1,13,1,29,3,27,2,30,1,28,1,30,4,28,8,30,1,28,1,13,1,8,1,9,1,13,1,9,1,8,1,13,1,9,2,11,3,12,1,16,1,17,1,10,1,12,1,11,2,9,1,16,1,11,1,9,1,11,1,9,2,12,2,9,2,12,2,11,2,10,1,9,1,11,2,10,2,9,1,11,3,12,1,9,7,8,1,9,2,13,1,9,1,13,2,8,1,13,1,6,1,13,1,6,1,30,1,13,1,6,1,13,1,30,1,13,2,6,6,7,1,30,1,7,2,6,1,13,1,7,1,13,1,6,5,7,1,30,1,6,2,30,1,6,2,29,1,30,4,29,1,28,1,30,7,28,4,30,7,6,1,28,4,13,2,28,1,30,1,6,1,28,1,30,3,6,2,13,1,6,1,30,1,6,1,30,1,6,1,7,1,6,1,7,1,13,2,8,1,13,1,9,1,13,1,8,2,9,1,8,1,13,1,8,1,9,1,13,1,9,1,7,1,13,3,7,1,13,6,8,1,13,2,8,1,13,1,9,1,8,2,13,1,9,1,8,1,13,2,9,1,13,1,9,4,8,1,9,5,10,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,13,1,8,1,9,1,10,1,8,1,9,1,8,1,9,1,8,2,9,1,10,1,8,1,9,6,13,1,8,1,9,1,10,1,11,1,10,1,16,1,10,1,16,1,17,26,11,1,12,1,10,1,16,1,11,1,12,1,11,2,9,2,11,1,13,1,8,2,13,3,6,1,13,1,6,1,13,1,6,1,7,1,30,1,7,1,13,2,6,1,7,1,6,2,13,1,7,1,6,1,13,1,6,2,8,1,6,1,13,1,6,2,7,1,6,1,13,1,6,2,13,1,6,1,8,1,7,1,13,6,9,1,8,1,13,1,8,1,9,1,8,1,13,2,9,1,11,1,9,1,8,1,30,2,29,1,27,2,30,2,6,1,28,1,30,1,29,1,28,1,29,1,30,1,6,1,29,1,30,1,29,1,27,1,29,1,6,1,8,1,30,1,27,1,25,1,30,1,6,1,28,1,30,3,28,1,30,1,28,5,30,1,28,10,29,1,8,1,9,1,6,3,30,3,28,2,30,1,28,8,13,1,6,1,30,4,6,2,13,1,6,1,30,1,6,1,13,1,6,1,30,1,13,1,6,1,7,1,13,1,6,1,13,3,7,2,6,1,7,1,13,2,9,1,17,2,16,3,17,2,16,2,9,1,16,1,10,1,9,1,8,1,9,1,8,1,13,2,8,1,9,1,8,1,13,2,7,1,13,2,7,1,13,5,6,1,7,1,13,1,6,1,13,2,6,1,13,5,8,1,13,2,8,1,17,3,11,1,9,3,8,1,13,1,8,1,13,3,7,1,13,3,6,2,29,1,8,1,13,1,9,3,11,1,9,1,10,1,16,1,11,1,9,4,8,1,9,3,8,2,9,1,8,1,9,1,8,1,13,1,9,1,13,1,8,1,13,9,9,3,13,2,9,1,13,1,8,1,13,2,9,1,8,2,13,1,8,1,9,1,8,1,13,2,6,1,13,3,6,1,9,1,13,2,8,2,13,3,8,1,13,1,7,1,13,1,7,1,13,1,6,2,13,1,30,1,6,1,13,1,30,1,6,2,30,1,6,2,7,1,13,6,8,2,13,1,8,2,13,2,6,2,29,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,2,30,2,28,3,30,2,28,2,6,2,28,1,6,1,28,2,30,1,29,1,30,3,29,1,30,1,28,13,30,3,28,1,30,1,28,1,30,1,28,26,9,1,17,2,9,1,8,1,13,1,6,1,28,16,30,1,8,1,29,1,13,1,9,3,10,1,9,1,6,1,28,7,15,1,13,1,6,1,28,42,11,1,8,1,6,1,30,2,13,1,9,1,17,1,16,1,8,1,28,4,6,1,30,1,6,2,9,1,17,2,9,1,28,6,8,1,28,6,}, {9,1,6,1,28,47,30,1,28,2,30,1,28,1,13,1,11,1,10,1,12,1,6,1,28,2,6,1,28,1,6,1,9,2,30,1,6,1,29,1,13,1,8,1,12,1,17,2,16,1,11,1,16,1,10,1,11,2,6,1,28,7,8,1,16,1,8,1,7,1,30,1,7,1,30,1,28,1,8,1,11,1,17,1,16,1,17,1,16,2,10,1,8,1,6,2,13,2,8,1,11,1,12,1,17,1,9,1,10,1,6,1,7,1,29,1,6,1,8,1,13,1,28,37,6,2,8,1,9,2,10,1,6,2,28,3,30,1,7,1,9,1,17,7,9,1,11,1,9,1,13,2,8,3,13,1,8,1,13,5,11,1,9,1,10,1,11,1,16,1,12,1,17,1,16,1,17,1,16,1,29,1,28,16,9,1,17,7,12,1,17,3,12,2,24,1,10,1,12,1,17,1,12,2,15,2,12,2,24,1,15,1,12,1,24,5,25,3,26,1,25,2,26,1,6,1,8,1,7,3,9,4,8,1,10,1,17,5,12,1,17,5,11,1,16,1,11,1,9,1,11,1,9,2,13,4,6,1,13,1,6,3,29,1,6,2,29,1,6,1,29,1,6,1,29,1,6,6,13,1,7,1,9,1,13,1,8,4,7,1,9,2,8,6,13,1,8,1,13,2,8,1,13,2,8,1,13,1,9,1,8,2,24,1,6,1,7,1,8,1,24,1,8,1,9,1,8,2,13,3,24,1,13,2,8,1,24,1,8,3,9,1,13,1,8,1,9,1,24,1,8,1,10,1,13,1,24,1,13,2,8,1,13,1,9,2,13,2,8,1,9,1,8,1,9,5,10,1,24,1,10,1,9,3,12,1,11,2,10,1,12,1,11,1,10,1,17,1,9,1,10,1,17,1,11,1,9,2,8,1,10,1,9,1,8,1,12,1,9,1,13,1,12,1,8,1,9,2,8,1,9,3,24,2,9,1,8,5,13,1,9,2,8,1,13,1,12,1,8,1,13,1,9,3,8,2,9,1,13,1,9,1,24,1,13,1,8,1,13,1,8,2,24,1,13,1,9,1,24,1,13,2,12,1,7,1,24,1,13,1,8,1,24,1,9,1,13,1,8,1,13,1,8,3,24,1,13,2,7,1,13,5,6,1,8,1,13,4,8,1,7,1,8,2,9,1,17,6,11,1,10,1,8,2,10,1,9,2,8,2,13,1,9,3,10,1,17,1,11,1,9,5,8,1,9,1,13,1,9,4,8,4,24,1,8,1,9,1,8,2,9,1,8,1,9,1,8,2,9,1,8,1,9,1,8,2,9,2,10,1,9,1,10,1,11,1,12,1,17,1,12,1,17,9,16,1,13,3,6,1,13,6,6,1,13,1,7,1,13,1,8,1,13,2,6,1,7,2,13,6,6,1,13,1,6,1,13,1,30,1,7,1,13,9,8,1,17,9,12,1,17,1,11,2,9,1,10,1,9,2,10,1,8,1,9,1,8,3,9,1,11,1,9,1,11,1,8,2,9,4,12,1,9,1,12,1,9,1,11,2,8,1,11,1,9,2,8,2,9,2,11,1,10,1,11,1,9,4,8,1,9,2,11,1,9,1,11,1,10,1,8,1,11,1,9,1,8,1,17,1,13,1,11,1,9,3,11,1,17,1,8,1,10,1,12,1,8,1,24,1,9,1,10,1,13,1,10,1,9,1,8,1,9,1,8,1,9,1,8,1,13,2,8,1,6,2,13,1,7,2,13,1,8,1,13,3,6,1,24,1,6,1,13,1,8,1,13,1,7,1,13,1,7,1,13,2,8,1,6,1,13,1,29,1,13,1,6,1,13,2,6,1,13,1,7,1,6,1,9,2,8,2,9,3,11,1,9,1,13,1,9,1,13,2,9,1,8,1,13,2,9,4,10,1,9,2,11,1,10,1,9,2,10,1,12,2,8,1,13,1,9,1,8,1,10,1,11,1,24,1,12,1,10,2,9,1,10,2,12,3,10,1,17,1,10,2,12,1,11,3,17,1,11,1,12,1,10,1,11,1,12,1,9,1,10,1,17,1,10,1,17,2,11,1,9,1,17,1,12,1,11,3,17,3,12,1,17,3,9,1,28,1,30,2,6,1,8,1,7,1,6,1,13,1,9,1,15,1,17,1,9,1,12,1,13,1,12,1,17,56,13,1,29,1,30,1,28,1,30,2,6,1,7,1,17,2,11,1,17,1,12,1,17,14,12,1,10,1,12,1,11,1,10,1,12,1,9,3,24,1,9,1,8,1,24,1,8,1,9,1,13,2,24,1,13,1,10,1,12,1,9,1,17,1,9,5,24,1,9,1,8,1,9,1,8,1,9,1,8,2,6,1,30,1,28,1,29,1,30,4,28,4,30,1,28,6,30,1,28,2,13,1,6,1,28,1,30,4,6,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,5,6,1,30,8,28,1,30,3,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,28,3,30,2,28,1,30,1,6,1,28,1,30,5,28,2,30,2,28,1,30,1,28,1,30,3,28,2,30,3,28,2,30,1,28,3,30,4,28,1,30,1,28,3,30,2,28,2,30,3,28,2,30,1,28,1,30,3,28,2,7,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,4,28,1,30,3,28,1,30,6,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,14,28,3,29,1,30,3,6,1,30,2,28,1,30,1,28,3,30,2,28,1,30,2,28,1,30,1,28,1,30,2,6,1,13,3,6,1,13,4,9,1,13,1,28,1,30,1,28,2,30,1,6,1,29,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,29,1,30,1,28,5,30,2,28,1,30,2,28,5,30,2,29,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,13,2,30,1,6,2,30,2,6,1,13,2,6,2,13,1,28,1,6,1,28,1,30,1,28,1,30,2,28,2,30,3,6,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,4,29,1,30,1,6,1,30,1,28,1,6,1,30,1,28,3,30,1,28,3,30,1,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,3,28,4,30,3,28,2,30,1,28,6,30,1,13,1,6,2,28,1,30,1,28,4,30,1,28,5,30,7,28,4,30,1,28,3,6,1,8,1,13,2,28,5,30,1,28,3,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,5,6,1,30,1,28,3,30,1,28,1,30,2,28,1,30,2,28,10,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,3,28,3,29,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,7,30,1,28,7,30,2,29,1,6,2,30,1,28,2,30,1,6,2,30,1,9,1,6,1,30,1,28,2,30,1,28,2,29,1,28,3,30,1,28,11,30,1,28,9,6,1,9,5,10,1,11,1,13,1,10,1,8,1,11,1,9,1,13,1,9,2,11,1,10,2,17,1,9,1,10,3,8,2,9,2,10,1,17,1,10,1,17,1,10,1,9,5,13,5,8,1,13,1,8,1,9,2,11,2,9,2,11,2,10,1,9,2,17,1,9,1,11,3,10,1,17,2,11,1,10,1,9,1,13,1,8,1,7,1,6,1,30,1,29,1,30,1,29,2,28,1,30,3,28,1,30,3,28,7,13,4,8,1,13,1,9,2,11,2,12,1,17,2,11,1,9,1,17,1,11,1,12,1,17,1,10,1,9,1,16,1,11,1,9,4,8,1,10,1,12,1,8,1,11,1,9,1,17,1,11,1,9,1,11,2,9,1,10,1,9,1,10,2,9,3,11,4,9,3,8,1,13,1,9,1,13,2,8,1,13,4,6,1,13,1,7,1,6,1,13,1,6,4,13,1,29,1,7,1,6,1,7,1,13,1,30,1,6,1,13,1,6,1,13,1,29,1,6,1,13,1,30,1,6,2,13,1,6,3,30,1,6,1,30,1,29,1,30,2,29,1,30,1,6,1,28,1,6,1,28,3,30,2,28,2,30,1,28,1,30,1,28,4,30,2,28,1,30,1,28,1,29,1,28,3,13,1,28,1,30,2,6,2,7,1,13,1,6,2,30,5,6,2,13,1,7,1,13,1,8,1,13,2,7,1,13,4,8,3,13,1,8,1,6,1,13,3,6,1,13,1,6,2,13,5,7,1,8,1,7,1,13,1,8,1,9,1,8,2,13,1,9,2,8,2,13,1,9,3,11,1,9,2,11,1,9,1,11,1,9,1,13,1,11,1,9,1,13,1,9,1,8,1,13,2,9,1,8,1,13,1,8,1,13,4,9,2,8,2,9,1,8,1,10,1,9,1,8,1,10,1,9,1,10,1,9,1,12,1,11,1,9,2,13,1,9,2,11,1,17,26,11,1,10,1,16,1,11,2,16,1,12,2,10,1,9,1,8,1,9,1,8,1,13,3,7,1,6,2,7,1,13,1,6,1,9,1,13,4,7,1,6,1,13,2,29,1,13,2,6,1,13,1,7,1,6,3,13,2,6,2,13,2,7,1,13,1,8,1,7,1,13,1,7,1,13,1,6,1,9,1,13,2,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,10,1,24,1,6,1,29,1,28,1,29,5,30,1,27,1,30,1,29,1,28,1,29,1,30,2,29,5,30,1,28,1,29,2,30,2,29,1,28,1,29,1,28,2,30,1,28,3,30,2,28,1,29,1,28,10,30,1,24,2,7,1,6,3,30,1,28,10,30,1,7,1,6,1,30,8,6,4,7,1,30,1,7,2,6,3,13,2,6,2,13,4,8,1,16,1,17,1,16,1,17,3,11,1,16,1,12,1,10,1,11,1,17,1,9,2,10,1,9,1,8,2,13,1,8,1,9,1,13,4,6,1,7,1,13,1,6,1,13,9,6,1,13,2,6,1,13,3,8,1,13,3,10,1,16,1,17,1,9,1,16,1,9,2,13,1,8,1,13,3,6,1,13,2,7,1,13,2,7,1,13,2,8,1,13,1,9,1,12,2,11,1,10,1,11,1,16,1,10,2,9,6,10,1,9,8,13,1,8,2,13,1,8,5,13,1,9,5,8,2,9,2,8,4,13,1,9,2,13,1,8,1,13,1,10,1,13,2,8,2,6,1,7,1,13,1,6,1,9,1,8,1,13,1,8,3,9,1,13,2,7,3,6,1,13,1,7,1,30,1,7,1,6,1,13,5,7,1,13,2,8,1,13,3,7,1,13,1,7,1,13,1,6,1,7,1,30,1,28,1,30,2,28,4,29,1,28,1,30,1,28,6,30,1,28,8,30,2,28,3,30,1,13,1,30,2,28,5,30,4,28,4,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,3,28,22,8,1,17,1,16,1,9,1,8,1,6,2,29,1,28,16,13,3,11,2,9,2,10,1,13,1,28,7,16,1,9,1,30,1,28,42,9,1,10,1,13,2,17,1,13,1,8,1,17,2,9,1,28,3,30,2,6,1,30,2,8,1,17,2,9,1,28,6,6,1,13,1,28,5,}, {9,1,30,1,28,43,30,1,28,4,30,1,28,3,6,1,9,1,12,1,17,1,9,1,6,1,13,1,29,1,28,1,13,2,11,1,6,1,29,1,13,1,8,1,9,1,11,1,17,1,16,3,12,1,10,1,17,1,11,1,13,1,30,1,28,6,13,1,17,1,29,1,6,1,29,1,6,1,30,1,6,1,13,2,17,4,11,1,9,1,6,1,13,2,8,1,13,2,12,1,17,2,9,2,13,2,30,1,7,1,8,1,9,1,30,1,28,33,30,3,28,1,13,1,9,1,10,1,17,1,10,1,8,1,6,1,28,4,7,1,13,1,17,8,9,1,10,1,7,1,13,1,9,1,13,1,8,1,6,1,8,1,6,3,13,1,8,2,13,1,11,1,9,2,10,1,11,2,17,1,9,1,6,1,28,15,30,1,8,1,12,1,17,11,12,2,10,1,24,2,12,1,15,1,17,1,12,1,17,1,12,3,24,1,12,1,17,1,24,3,8,2,24,1,8,1,25,1,8,1,25,2,24,1,13,1,7,1,8,1,10,1,24,1,13,1,9,1,24,1,11,1,12,3,17,5,16,1,17,1,11,1,9,3,8,1,9,3,13,2,7,1,6,1,13,1,30,1,29,1,6,3,29,1,6,4,30,2,29,1,30,1,6,1,30,2,6,1,13,1,9,1,8,3,13,1,8,1,13,1,9,1,10,1,9,3,12,1,9,1,10,1,17,1,11,3,9,1,10,1,9,1,11,2,12,2,10,1,12,1,9,1,24,1,11,1,24,1,8,2,9,2,8,1,9,2,8,1,9,1,13,1,10,1,8,1,13,1,10,1,9,1,13,1,9,1,24,3,9,3,8,2,12,1,8,2,9,2,8,2,11,1,24,1,9,3,10,1,9,2,8,2,9,1,12,1,9,3,12,1,17,1,8,1,11,1,17,1,11,1,12,1,10,1,12,1,17,1,11,2,10,1,17,1,12,1,11,1,8,1,17,1,10,1,11,1,9,1,10,2,9,1,8,1,10,1,8,1,10,1,9,1,8,2,10,2,8,1,24,1,9,1,8,1,9,1,8,3,13,1,24,1,9,1,13,1,9,1,8,1,24,1,8,1,9,2,8,1,9,1,8,1,9,1,8,2,24,1,8,2,24,2,9,2,8,1,9,1,13,1,24,1,8,1,24,1,13,1,24,1,13,1,8,1,24,1,13,2,7,1,13,2,7,1,13,1,7,2,13,1,7,1,6,1,13,2,8,1,13,3,7,1,13,1,11,2,17,6,11,1,9,1,8,1,9,1,8,1,12,1,9,1,10,2,9,4,8,1,11,1,17,1,8,1,9,1,8,1,9,3,8,1,9,1,8,2,9,1,13,2,9,1,8,3,13,1,8,1,9,1,8,2,9,1,13,1,8,1,9,2,8,1,9,1,8,4,9,1,11,1,9,1,17,1,11,1,17,1,12,1,17,5,12,1,17,4,9,1,13,2,6,1,13,4,7,1,6,1,13,2,7,1,13,4,9,1,6,1,13,1,7,1,6,1,13,1,7,1,13,10,6,1,13,7,10,1,17,10,12,1,11,3,10,1,11,1,8,1,9,2,8,2,9,1,11,1,9,1,10,1,9,3,8,1,9,2,8,3,11,1,8,1,9,1,11,1,8,1,9,2,11,1,8,1,9,1,13,1,9,1,11,2,9,1,10,1,9,2,11,1,9,1,10,1,8,1,9,6,8,1,11,1,9,4,11,2,9,1,10,1,8,1,11,1,8,3,13,1,9,1,8,1,9,1,13,2,8,1,13,2,7,1,13,1,8,1,13,1,6,1,13,2,7,1,13,5,8,1,13,3,7,1,13,2,6,1,13,1,7,1,13,3,7,1,13,2,6,1,13,6,7,1,13,6,9,1,13,1,7,1,13,3,8,1,7,1,8,1,13,1,8,1,13,1,9,1,8,1,24,1,9,1,11,1,9,1,10,1,9,1,17,1,9,2,10,1,12,1,10,2,11,1,24,1,9,1,12,1,24,1,9,2,8,1,9,2,12,1,10,1,12,1,10,1,17,1,12,2,10,1,12,1,10,1,11,3,17,1,11,1,17,1,11,1,12,3,17,3,12,1,10,1,17,1,9,1,17,1,12,1,17,1,11,1,10,1,17,1,12,1,17,5,7,1,30,4,13,1,29,1,6,1,13,1,8,1,12,1,17,1,10,3,9,1,17,50,15,1,17,3,14,1,13,1,6,1,29,1,30,1,28,2,6,3,17,2,11,1,17,7,12,2,17,6,11,1,12,1,17,2,10,1,12,1,10,2,11,1,10,1,12,1,9,3,8,2,13,1,8,1,9,3,12,1,9,1,10,1,9,1,8,1,24,1,9,1,6,1,8,6,9,2,29,1,30,1,28,1,30,2,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,10,13,2,28,1,30,10,28,1,30,1,28,1,30,1,6,1,28,3,29,1,28,1,6,1,30,2,28,1,7,1,6,1,30,1,28,1,30,1,28,6,30,2,28,2,30,2,28,2,30,2,6,2,28,1,30,1,28,8,8,1,30,1,28,1,30,3,28,1,30,3,28,1,30,2,28,1,30,2,28,1,30,6,28,1,30,1,28,1,30,1,28,4,30,1,28,3,30,3,28,2,30,1,28,1,30,1,6,1,30,1,28,2,30,3,28,2,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,5,28,3,30,1,28,1,30,3,28,3,29,1,28,1,30,2,6,1,30,3,28,2,30,2,28,3,30,1,28,1,30,1,28,6,30,2,13,2,29,1,6,4,13,3,29,1,30,1,28,1,30,1,6,1,28,2,6,1,28,3,30,1,28,3,30,1,28,3,30,1,28,2,30,1,6,1,28,1,30,2,28,2,30,2,28,4,30,2,28,2,30,1,6,2,30,2,28,1,30,1,8,1,6,4,13,1,6,1,13,2,6,1,13,2,28,2,30,1,28,1,30,2,28,1,30,1,29,1,28,2,30,3,28,1,30,2,28,5,30,2,28,1,30,2,28,2,30,5,6,1,28,12,30,1,28,1,30,1,28,4,30,1,28,1,30,5,28,1,30,3,28,3,30,1,28,1,30,3,28,2,30,2,28,1,30,1,28,3,30,1,6,1,28,1,30,1,28,5,30,1,29,1,30,1,28,4,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,13,2,7,1,13,1,28,13,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,6,30,4,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,2,30,1,6,1,30,3,28,2,30,1,6,1,28,2,29,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,6,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,5,30,1,28,4,30,1,28,3,30,2,28,2,6,1,30,1,28,1,30,1,28,5,30,2,13,1,6,2,28,2,30,1,6,1,30,1,28,2,11,1,28,7,13,1,28,4,30,1,28,11,30,1,28,7,6,1,8,1,10,1,8,1,9,2,8,1,9,3,11,1,10,1,8,2,13,1,9,1,11,2,10,1,17,2,12,1,9,3,8,2,9,3,17,1,11,3,9,4,13,2,9,1,13,2,7,1,8,1,13,1,9,1,8,2,13,1,9,2,11,3,9,2,11,2,17,2,11,1,17,4,9,1,11,2,8,2,7,1,29,1,27,1,30,1,29,1,30,1,28,4,30,1,28,1,30,1,28,9,13,1,8,2,13,1,8,1,9,1,10,1,11,1,17,1,9,1,17,2,16,1,11,2,16,1,12,1,11,1,12,1,11,1,10,1,9,1,12,1,9,2,10,1,9,1,12,1,9,1,11,1,9,1,12,1,9,1,12,1,11,1,9,1,11,1,9,1,11,3,10,1,11,2,12,1,10,1,17,1,10,1,8,1,9,3,13,1,11,1,8,1,13,1,9,1,13,1,7,1,8,2,6,1,13,2,6,3,7,1,6,2,13,1,6,1,7,1,6,1,30,1,7,1,6,1,13,2,6,1,13,1,6,3,13,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,30,1,6,1,30,2,6,2,30,1,28,4,30,2,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,1,28,2,30,2,7,1,30,1,28,1,30,1,28,1,30,2,6,1,29,1,30,3,6,1,28,1,30,1,6,1,13,1,6,2,7,1,8,3,9,2,13,7,8,1,13,3,7,1,13,1,7,1,13,1,6,4,13,2,6,1,9,1,6,1,13,1,6,1,13,4,8,1,13,3,9,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,13,1,9,2,11,1,9,2,11,1,8,3,9,1,8,1,9,1,8,2,13,1,8,4,9,1,8,1,9,1,8,2,10,1,8,1,9,3,10,1,12,1,9,2,13,1,9,1,8,1,9,4,10,1,17,24,11,2,17,1,12,1,16,1,11,2,12,1,11,1,9,2,8,1,9,1,8,1,13,3,6,1,13,2,7,1,6,1,13,3,6,1,13,2,7,1,6,1,13,1,6,1,8,1,13,1,29,1,7,1,6,1,7,1,6,2,7,1,29,1,7,1,13,1,30,1,13,1,6,1,13,2,6,1,13,5,9,2,8,1,10,1,9,2,8,3,9,2,10,1,13,2,6,1,28,1,27,1,29,1,27,1,30,1,27,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,2,30,2,29,1,30,2,28,1,30,1,6,1,29,1,28,1,6,1,29,3,28,1,30,1,28,3,30,2,28,12,6,1,9,1,13,1,7,1,6,1,30,3,28,10,30,1,28,2,6,1,28,1,30,2,28,1,30,1,7,1,29,1,6,2,30,1,6,1,30,2,6,4,29,1,6,1,13,1,6,1,13,5,11,1,17,5,16,1,11,1,17,1,11,1,9,3,8,2,9,2,13,1,9,1,13,1,8,1,13,2,6,1,13,2,6,1,13,1,7,1,13,12,7,1,13,1,7,1,13,6,8,1,17,1,16,1,17,1,10,1,9,1,10,1,9,1,8,1,13,4,6,1,13,1,7,1,6,1,13,1,6,1,13,6,9,1,10,1,11,4,16,1,10,1,9,1,11,2,9,3,11,2,9,3,8,2,9,1,8,2,13,1,8,2,13,1,9,1,13,3,9,1,13,2,8,1,13,1,8,1,13,1,9,1,13,3,9,1,13,1,9,2,13,1,9,2,8,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,11,1,9,1,8,1,13,2,9,4,13,8,7,1,13,1,8,1,13,1,8,1,13,1,9,3,13,1,7,1,13,2,6,1,7,1,6,2,29,1,30,1,6,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,6,1,28,4,30,1,28,4,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,13,1,30,2,28,1,6,1,30,3,28,2,30,1,28,1,30,1,6,1,30,1,28,4,30,5,28,3,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,18,16,1,17,1,10,2,13,1,30,3,28,15,6,1,29,1,6,1,13,1,9,2,16,2,9,1,6,1,28,6,29,1,10,1,9,1,28,43,11,1,9,1,8,1,12,1,13,1,28,1,8,1,17,1,16,1,13,1,28,1,30,1,6,2,30,1,28,1,29,1,13,1,8,1,17,2,8,1,28,6,13,1,6,1,28,5,}, {8,1,28,43,30,1,28,4,30,1,28,5,8,1,17,1,11,1,8,1,6,1,30,3,29,1,8,1,9,1,8,1,6,2,13,1,6,1,13,1,11,1,16,1,17,2,16,1,17,1,10,1,9,2,13,1,28,5,29,1,8,1,10,1,6,2,28,1,30,1,29,1,30,1,29,1,11,1,17,4,16,1,11,1,9,1,7,1,13,3,11,1,9,1,17,2,9,1,8,1,30,1,13,1,6,1,13,2,6,1,28,36,6,1,30,1,13,2,10,1,12,1,11,1,12,1,6,1,28,2,29,1,30,1,13,2,17,6,9,1,11,2,9,1,13,1,9,1,7,1,24,1,13,1,29,1,13,1,6,1,13,2,8,1,13,1,6,1,13,2,9,1,10,1,9,3,11,1,17,1,29,1,28,15,30,1,13,1,17,5,12,1,17,5,12,1,17,1,12,1,24,3,12,1,17,1,12,1,17,3,15,1,17,2,24,2,12,1,24,1,12,2,24,3,8,1,24,1,25,1,8,1,7,1,24,1,9,1,24,1,10,1,9,1,8,1,12,4,17,3,12,2,17,2,11,1,9,2,13,1,9,1,13,1,9,1,8,2,13,1,7,3,6,1,30,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,30,1,6,2,13,1,9,3,8,1,24,1,13,1,9,1,13,1,9,1,10,1,12,1,10,1,17,2,12,1,9,1,8,1,12,1,17,1,12,1,17,9,12,1,17,2,12,2,9,1,10,1,9,1,13,1,8,1,9,2,8,1,9,2,10,1,8,2,9,2,24,2,11,1,10,1,9,3,10,1,11,1,10,1,9,2,13,1,8,3,9,3,10,1,9,1,11,1,13,1,9,1,8,1,9,3,17,1,9,1,10,1,9,1,10,1,17,2,12,1,9,1,17,1,12,1,11,1,10,1,12,1,11,1,12,1,17,1,9,1,11,1,10,1,9,1,10,2,9,2,8,1,9,2,12,1,9,1,24,1,10,1,24,1,11,1,24,1,8,1,9,1,8,3,9,1,24,3,8,1,13,1,8,4,12,1,9,2,8,1,13,1,8,1,24,1,8,3,24,1,8,1,13,1,8,2,24,2,9,2,24,1,9,1,13,1,8,2,24,2,8,3,13,2,8,1,13,1,7,1,13,1,7,1,13,1,8,3,13,3,9,3,11,1,17,7,9,1,10,1,8,1,11,1,9,1,8,2,10,1,9,8,17,1,8,1,9,1,24,1,9,3,8,7,9,1,8,1,13,1,10,1,9,2,8,3,13,1,11,1,8,1,9,1,13,1,9,1,8,2,9,1,10,1,13,1,9,1,8,1,9,2,12,1,9,1,12,1,17,1,12,1,11,1,12,1,17,1,12,1,17,4,16,1,9,1,13,9,6,1,13,2,6,1,7,2,13,1,9,1,13,4,6,1,13,2,7,1,13,1,6,1,7,3,13,5,6,1,7,1,13,2,9,2,17,10,11,1,17,1,11,1,9,1,11,1,9,1,10,1,9,5,11,1,13,1,9,1,8,2,13,1,11,1,9,1,8,2,11,2,9,3,12,1,11,2,17,1,10,1,9,3,8,1,9,1,11,1,17,2,9,2,8,1,9,1,8,1,12,1,9,6,11,1,9,4,11,1,8,2,9,3,10,1,9,1,8,1,9,2,12,1,9,1,8,1,10,1,13,1,9,1,13,1,8,1,9,1,13,2,7,1,8,1,13,1,7,1,13,7,8,2,13,2,8,1,13,1,8,1,13,1,8,1,13,1,6,1,7,1,13,1,6,2,7,1,8,1,6,2,13,3,7,1,8,1,13,5,8,1,24,1,8,1,13,1,24,1,13,1,7,1,8,1,7,1,8,1,13,1,8,1,24,1,8,1,9,2,8,1,9,3,10,3,9,2,17,1,10,2,8,1,9,1,8,1,11,2,10,1,17,1,10,1,11,1,9,1,12,1,11,1,17,1,12,1,9,1,11,1,17,1,11,1,9,1,17,1,12,5,17,1,11,3,17,1,11,1,17,2,9,1,11,1,17,1,12,2,17,2,11,1,12,2,17,1,10,1,17,2,12,1,17,1,8,1,28,1,30,3,6,1,7,2,6,1,13,1,10,1,11,1,9,1,6,1,12,1,10,1,17,39,11,1,17,7,14,1,17,1,14,1,10,1,17,4,6,1,30,5,6,2,13,1,17,3,12,1,17,1,12,1,17,13,11,1,12,1,11,1,12,1,10,1,11,1,12,1,9,2,10,1,8,1,24,2,9,1,24,1,9,2,8,1,10,2,12,1,10,1,13,1,9,1,7,1,24,1,8,1,9,2,13,1,8,2,10,1,8,2,9,1,13,1,30,1,28,1,30,2,6,1,28,1,30,1,28,6,30,1,28,3,30,1,28,3,6,1,13,1,28,1,29,1,30,4,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,6,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,28,5,30,1,28,4,9,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,4,28,2,29,1,30,5,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,6,30,3,28,4,30,2,28,3,29,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,29,1,28,1,30,6,28,1,6,1,28,1,30,3,6,1,28,1,30,2,28,3,30,3,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,3,28,3,30,7,28,1,6,1,28,1,30,1,28,2,30,1,6,1,13,1,30,1,6,1,30,1,28,1,30,1,6,1,30,2,28,1,30,7,28,2,30,1,28,11,30,2,28,2,30,1,28,1,30,3,28,2,30,4,29,1,28,1,6,2,30,1,28,1,30,3,13,1,30,1,28,1,6,1,13,1,6,1,13,1,30,1,13,1,6,1,30,1,28,11,30,1,28,1,6,1,30,1,28,3,30,2,28,2,30,1,28,4,6,1,30,4,29,1,28,1,30,1,28,8,30,1,28,4,30,2,28,5,30,2,28,3,30,2,28,3,30,2,6,1,28,1,30,2,28,1,30,1,28,3,6,1,8,1,7,1,28,1,30,1,28,1,13,2,30,1,28,3,30,2,28,1,30,1,28,1,30,2,28,1,30,4,28,2,30,1,28,1,30,1,28,4,30,1,28,3,6,1,13,1,6,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,5,30,1,28,2,30,1,28,3,30,1,28,6,30,4,29,1,28,1,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,6,30,1,28,2,30,1,28,5,30,3,29,1,30,6,28,1,30,2,28,1,30,2,28,1,6,1,30,1,28,1,30,3,28,2,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,4,30,1,28,5,30,1,6,1,30,1,28,5,30,1,28,1,30,5,28,3,30,1,29,1,13,1,7,1,6,1,28,4,30,1,28,3,13,1,28,7,6,1,28,7,30,1,28,6,30,3,28,6,30,1,13,1,11,1,8,1,9,1,8,2,9,1,8,1,11,1,9,1,11,1,13,1,8,1,9,1,13,1,9,1,11,1,17,1,9,1,17,1,8,1,11,1,9,1,24,2,9,3,11,1,17,1,12,1,11,2,10,1,9,4,13,2,9,1,13,5,8,1,9,2,13,1,9,1,11,2,9,1,11,1,17,1,11,1,17,1,11,2,17,5,11,2,9,1,11,1,8,1,13,1,7,1,28,1,27,1,29,1,30,1,29,1,30,1,28,1,30,2,28,1,30,1,29,1,28,6,30,1,28,1,30,1,13,1,8,2,9,2,17,1,11,3,12,2,17,1,11,1,17,1,11,1,12,2,16,1,10,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,9,3,12,1,10,1,12,1,11,2,10,1,11,1,10,1,12,1,10,1,16,1,9,1,11,1,10,1,11,1,10,2,9,1,12,1,9,4,10,1,8,1,9,1,11,1,10,1,8,1,13,3,7,1,6,1,13,1,6,2,29,1,7,1,30,1,28,1,29,1,6,1,7,1,6,6,29,1,6,1,7,1,13,1,30,3,6,3,29,2,30,2,6,4,30,1,28,1,30,1,28,3,30,4,28,2,30,1,29,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,29,1,13,1,30,3,29,1,30,1,6,3,29,1,30,2,6,3,30,1,6,1,13,1,6,1,8,1,13,1,8,2,13,3,9,1,13,2,8,1,13,3,29,1,6,1,13,1,7,2,6,1,7,1,13,2,29,1,13,1,7,4,13,1,6,1,7,1,8,1,13,3,8,2,9,1,13,2,10,1,8,1,9,7,10,1,13,1,9,1,8,2,9,1,8,1,13,3,8,1,10,1,13,1,9,6,13,1,9,1,13,1,9,2,10,1,9,4,8,3,9,1,8,2,9,1,8,1,9,1,11,1,17,25,11,2,17,1,12,1,17,2,11,3,9,3,13,2,8,1,13,5,6,2,7,1,13,3,7,1,13,1,6,2,13,1,6,1,30,1,6,2,13,1,6,2,13,1,6,1,29,1,6,1,7,1,13,2,8,1,7,1,8,1,13,5,8,1,13,1,10,1,9,1,10,1,9,1,8,1,13,2,8,2,11,1,17,1,29,1,8,1,29,1,27,2,29,1,30,1,29,4,30,1,29,2,28,2,30,1,28,1,30,5,28,1,30,1,29,1,30,3,28,1,30,2,28,1,30,3,28,15,6,1,9,1,8,1,6,3,30,2,28,9,30,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,3,7,1,29,1,30,1,6,1,13,1,6,2,29,1,7,1,13,1,7,1,13,6,8,1,11,1,17,5,11,3,9,1,10,1,9,1,11,1,8,1,10,1,9,1,8,2,13,4,7,2,13,7,7,1,13,1,7,1,8,1,13,8,8,2,13,3,8,1,13,1,11,2,17,1,12,1,9,3,13,1,7,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,7,1,29,1,30,1,9,1,7,1,13,1,6,1,13,1,10,1,11,1,16,1,11,1,9,1,11,1,10,1,16,1,9,1,11,2,9,2,8,1,10,1,8,1,9,1,11,1,9,1,8,2,9,3,8,2,13,3,8,1,9,2,8,1,13,1,9,1,13,1,8,1,9,1,8,3,13,2,8,1,10,1,9,3,13,5,8,1,13,1,8,1,7,1,29,1,6,1,7,1,8,1,9,1,8,1,13,1,8,1,13,3,7,2,13,1,7,1,13,1,6,1,29,1,13,2,9,2,8,5,13,1,8,1,13,1,6,3,29,1,28,2,30,3,28,11,30,1,28,2,30,2,28,4,30,2,28,6,30,2,6,1,30,3,28,1,6,2,28,3,6,1,30,3,28,1,6,1,30,1,6,2,30,1,29,1,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,18,11,1,17,1,11,1,9,1,13,1,7,1,30,1,28,13,30,1,28,1,30,1,28,1,29,1,6,1,8,1,9,2,11,1,16,1,9,1,6,1,28,6,30,1,16,2,28,43,16,2,10,1,29,1,30,1,28,1,8,1,17,1,10,1,6,1,28,3,29,1,30,2,6,1,29,1,8,1,17,2,7,1,28,6,13,2,28,5,}, {9,1,6,1,28,39,30,2,28,12,13,1,24,1,17,1,13,2,28,1,29,1,30,1,28,1,9,2,13,1,6,2,8,1,9,1,12,1,11,1,17,1,11,1,17,1,16,2,11,1,16,1,13,1,29,1,28,6,7,1,12,1,8,1,7,1,28,1,13,1,6,2,7,1,11,1,17,5,11,1,7,1,13,1,6,1,13,1,8,1,9,1,17,3,16,1,8,1,13,3,30,1,24,1,13,1,28,38,13,1,8,2,17,1,9,1,8,1,6,1,28,3,6,1,30,1,13,1,17,6,11,1,16,1,17,1,9,1,13,1,9,1,6,1,9,1,29,1,30,1,6,1,13,3,29,1,13,2,8,3,11,2,8,1,11,1,9,1,17,1,28,17,13,1,12,1,17,8,12,1,17,3,12,2,24,2,10,1,12,5,17,1,12,1,17,1,12,2,17,1,24,1,12,4,24,2,8,1,24,2,8,1,24,1,10,2,12,3,17,4,12,1,17,2,12,1,17,2,10,1,9,2,13,1,8,1,9,1,13,1,8,1,13,2,6,2,29,1,30,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,30,4,28,1,6,1,29,1,7,1,8,2,12,2,8,1,13,1,24,2,9,1,12,1,9,1,10,2,11,1,10,1,9,1,10,1,12,1,24,1,12,1,10,1,17,6,11,1,17,4,12,1,17,6,11,2,8,1,10,1,9,3,12,1,9,1,10,1,9,2,8,1,9,1,10,1,9,1,11,1,10,1,13,1,24,2,9,2,8,1,9,2,10,4,9,1,11,1,9,1,11,4,9,1,10,2,11,1,12,1,17,2,11,1,17,1,12,2,11,1,17,1,12,2,17,2,12,3,11,2,9,2,17,1,8,1,10,1,9,1,10,3,8,1,10,1,9,1,11,2,8,1,9,2,13,1,10,1,8,2,13,1,8,1,13,1,9,1,8,1,9,2,24,1,9,1,24,2,9,1,24,2,8,2,24,1,13,2,8,4,9,1,8,1,9,1,24,1,9,1,8,1,24,3,8,1,9,1,24,1,13,1,7,1,24,1,8,4,13,3,9,1,8,1,9,2,8,1,13,1,8,1,12,1,17,7,12,2,11,1,9,2,13,1,9,1,8,2,13,1,9,4,10,1,9,1,11,1,8,1,17,1,11,1,9,1,12,1,9,1,13,1,9,1,24,1,8,2,11,1,8,1,9,2,13,1,8,1,13,1,7,1,8,1,7,1,8,9,24,1,8,1,9,1,10,1,13,1,8,1,11,1,9,3,17,3,12,1,17,9,9,2,13,6,6,1,13,3,6,2,7,1,13,6,8,1,13,1,8,1,13,4,6,1,13,12,9,1,12,1,17,11,11,1,12,2,10,1,11,1,10,2,9,1,8,1,9,1,13,1,8,1,13,1,9,1,11,1,13,1,8,2,9,2,8,2,9,6,10,1,8,1,10,1,9,2,10,1,9,1,11,1,17,1,16,1,9,4,13,1,9,2,8,1,12,1,9,1,8,1,9,1,10,1,9,1,10,1,9,1,10,1,11,2,9,1,10,1,13,1,9,1,12,1,8,1,9,1,8,1,10,2,8,1,9,1,8,1,13,2,8,1,13,2,8,1,13,1,8,1,7,1,13,4,7,1,6,1,7,2,13,1,29,1,8,2,7,1,8,3,13,2,8,1,13,2,7,1,6,1,13,2,7,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,8,1,13,2,8,1,13,1,8,1,13,1,9,2,11,1,10,2,9,4,12,1,9,1,17,1,10,1,12,1,8,1,17,1,10,1,11,1,10,2,24,1,9,1,17,1,9,1,17,2,12,3,17,1,12,1,17,1,9,1,11,4,12,1,17,1,12,1,17,1,12,1,11,3,12,1,17,1,12,1,11,1,17,3,11,2,17,1,12,1,11,1,12,1,11,2,17,3,9,1,30,5,29,1,6,2,13,2,9,1,24,1,13,1,8,1,13,1,9,1,17,38,8,1,11,1,16,1,17,5,14,1,12,1,9,1,24,1,17,2,14,1,9,1,30,1,6,2,28,2,6,1,7,1,6,1,13,1,11,1,17,10,12,1,17,4,12,1,17,1,11,2,17,1,11,1,12,1,17,1,10,1,11,1,17,1,9,1,10,1,9,3,8,2,13,1,8,1,11,1,17,1,11,1,17,1,8,2,24,1,6,1,17,1,8,3,24,1,10,1,9,1,8,2,9,1,8,1,13,1,28,2,30,1,28,1,6,1,30,2,29,1,28,1,30,4,28,2,30,1,28,5,30,2,28,1,30,4,28,1,30,1,28,1,30,5,6,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,3,30,1,28,1,30,1,28,2,6,1,28,1,30,3,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,13,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,3,30,1,28,2,30,1,28,1,29,1,30,2,28,4,30,1,28,1,30,1,28,1,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,6,1,28,1,30,2,28,1,13,1,30,1,28,2,30,1,28,4,30,6,28,3,30,1,28,1,30,4,28,3,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,1,30,4,28,1,6,1,30,1,6,1,30,2,28,1,30,2,28,1,30,5,28,2,30,1,28,4,30,2,6,1,13,1,9,1,6,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,4,28,7,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,3,28,1,6,1,30,1,28,1,30,1,6,2,28,1,6,2,30,1,6,1,13,2,6,3,7,1,6,2,30,1,6,1,28,1,30,2,28,4,30,1,28,7,30,1,6,1,28,2,6,1,28,2,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,5,30,1,28,1,30,3,28,2,30,1,28,1,30,2,28,2,30,1,6,1,30,2,28,1,29,1,30,2,28,3,30,2,28,4,30,1,13,3,30,1,29,2,6,1,9,1,30,3,28,2,30,1,28,2,30,1,28,2,6,1,8,2,13,1,30,3,28,4,30,1,28,5,30,1,28,2,13,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,5,30,1,28,2,30,3,28,2,30,2,29,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,2,28,1,6,1,13,1,28,8,30,1,28,1,30,6,6,1,30,3,6,2,30,3,28,1,6,1,30,1,6,1,28,1,30,11,28,1,30,5,28,1,30,2,28,3,30,1,28,4,30,1,28,1,30,1,28,6,30,3,28,2,30,2,28,2,7,1,30,1,13,2,30,4,28,3,30,1,28,3,6,1,28,20,30,1,28,1,6,1,30,2,28,3,30,1,28,2,6,1,9,1,10,1,9,3,13,3,9,3,11,1,8,2,11,1,10,1,9,1,12,1,17,2,9,1,11,1,10,1,8,1,9,1,11,1,9,2,17,4,11,1,9,4,8,1,9,1,8,2,13,3,8,1,13,1,9,1,13,1,8,1,9,2,11,1,9,1,11,3,17,1,12,1,11,1,12,1,17,3,16,2,17,1,9,1,11,1,9,1,8,1,13,1,6,1,29,2,30,1,29,2,28,2,30,1,28,2,30,1,28,8,30,1,28,1,9,2,11,1,10,1,11,1,17,3,12,2,11,2,16,1,17,1,12,1,16,2,9,3,8,1,9,1,10,1,9,1,8,1,9,4,11,1,9,1,10,1,9,2,17,1,9,1,11,3,9,1,12,1,11,2,10,1,9,1,11,1,17,1,11,1,9,1,10,1,8,1,11,1,9,3,10,1,8,1,13,1,8,2,6,1,13,2,6,3,13,2,30,1,29,1,13,1,7,2,30,1,13,1,6,2,13,1,6,2,7,1,13,1,29,1,6,3,7,1,29,1,6,1,30,1,13,1,7,1,6,2,30,2,6,1,28,1,30,3,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,3,6,1,28,2,30,3,28,1,30,1,28,1,6,1,28,1,6,2,29,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,4,6,1,30,1,6,3,8,1,13,1,8,2,13,1,9,1,13,4,9,1,13,1,8,1,13,5,30,1,7,1,6,1,30,1,6,1,28,1,29,1,6,2,13,1,6,1,13,3,7,1,13,2,8,1,13,2,9,1,6,1,8,1,13,1,8,1,9,1,13,1,9,3,10,2,9,3,8,1,9,1,13,1,9,3,13,1,8,1,9,1,8,2,13,1,10,1,8,1,9,3,13,1,9,1,10,1,9,2,8,1,13,1,9,2,13,1,9,1,8,7,13,1,9,1,11,1,17,3,16,1,17,19,11,2,17,5,11,1,17,1,16,1,13,1,9,2,8,1,9,1,13,3,6,1,7,1,13,1,6,4,13,1,6,1,13,2,6,4,13,2,6,3,30,1,7,1,6,1,13,1,29,1,13,10,9,1,8,1,9,1,10,1,9,4,13,1,9,2,8,1,17,1,24,1,8,1,6,1,30,1,29,4,27,1,30,5,29,1,30,1,28,3,29,1,28,2,30,1,28,1,30,1,28,2,29,1,30,6,28,2,30,2,28,1,30,1,29,1,28,11,13,1,8,1,13,1,6,3,30,2,28,9,30,2,28,3,30,2,29,1,30,1,6,2,30,1,6,1,28,1,6,4,29,2,6,1,7,1,30,1,13,1,7,1,13,5,9,1,17,1,16,2,17,4,11,1,16,1,10,1,9,5,8,1,13,3,8,1,13,2,7,1,6,2,13,1,7,1,13,4,9,1,8,1,13,9,6,1,13,6,7,1,8,1,16,1,11,1,17,1,9,3,13,1,8,1,13,2,8,1,6,1,13,1,7,1,13,1,8,1,6,1,13,2,7,1,13,1,30,1,13,1,29,1,13,2,9,1,11,1,16,1,11,2,9,6,13,1,9,2,11,1,13,1,9,2,10,1,9,1,8,4,13,1,8,1,13,1,8,1,13,1,9,3,8,1,9,2,13,2,9,1,8,1,9,1,13,1,10,1,8,2,9,3,13,1,8,3,13,1,8,1,13,2,10,1,13,1,8,1,9,1,13,1,8,2,9,1,8,1,13,1,9,1,13,1,8,1,13,2,9,1,13,3,8,2,9,1,11,1,8,1,10,1,11,1,13,1,8,1,13,2,30,1,6,2,28,1,30,5,28,1,30,1,28,3,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,1,30,1,28,1,30,1,29,1,30,3,6,1,30,2,28,2,6,1,28,2,30,1,28,2,30,1,28,1,30,1,6,2,28,1,30,1,28,4,30,1,28,4,30,2,7,1,30,1,28,3,30,1,28,1,30,1,28,18,16,1,17,1,10,1,13,2,8,1,30,3,28,14,6,1,29,1,7,1,9,2,12,2,10,1,11,1,28,8,17,1,9,1,29,1,28,42,16,1,11,1,9,1,28,3,13,1,17,1,9,1,13,1,28,2,29,1,30,1,29,1,6,1,29,1,6,1,9,2,11,1,6,1,28,5,30,1,6,2,28,5,}, {8,1,13,1,28,53,7,1,24,1,17,1,9,1,6,1,30,1,6,1,30,1,28,1,13,1,11,1,13,1,30,1,13,1,6,1,8,1,11,1,17,1,16,1,11,1,17,3,11,1,16,1,9,1,6,1,28,6,29,1,17,1,9,1,6,1,30,2,28,2,30,1,10,1,17,1,16,4,9,1,8,2,13,1,10,1,9,1,8,1,12,1,16,1,17,1,16,1,7,1,8,1,29,1,6,1,7,1,8,2,30,1,28,37,30,1,7,1,10,1,9,1,8,1,11,1,30,1,28,3,6,2,13,1,17,8,11,1,10,1,9,1,8,1,10,1,6,1,8,1,7,1,13,5,8,4,13,1,8,3,11,1,17,2,6,1,28,16,6,1,11,1,17,16,10,1,12,3,17,1,12,3,17,6,12,1,17,1,12,2,17,2,12,4,10,1,17,8,12,2,11,1,17,1,12,1,11,1,10,1,9,1,8,1,9,1,13,4,7,1,30,1,6,1,29,2,30,1,6,3,29,1,6,1,29,1,6,1,29,2,6,2,29,1,6,1,30,1,29,1,30,1,29,1,6,1,13,1,9,1,11,2,17,1,10,1,13,2,8,1,24,1,11,1,9,2,8,4,24,1,9,2,12,1,13,1,9,2,11,1,9,1,12,1,11,1,10,1,12,1,11,1,9,1,17,11,11,1,12,1,11,1,9,1,11,1,10,1,12,1,10,2,12,1,10,1,9,1,11,1,12,1,9,1,12,1,9,3,10,1,9,3,8,1,10,1,9,3,10,1,9,3,11,1,9,1,12,1,11,1,12,1,17,1,11,1,10,1,17,3,12,2,17,3,11,1,12,1,9,1,17,1,11,1,12,3,9,2,11,1,9,1,10,1,9,1,11,1,9,1,8,1,9,3,24,1,9,5,8,1,9,1,24,1,13,1,8,2,13,1,9,1,8,1,13,1,10,1,13,1,12,1,9,1,8,2,13,1,8,1,9,2,8,2,13,1,24,1,8,1,24,1,9,1,8,1,24,2,8,1,24,2,13,1,8,1,24,1,10,1,24,1,8,1,13,3,8,1,13,1,8,3,9,1,13,1,9,1,8,1,9,1,10,1,17,8,11,1,17,1,10,1,11,1,13,1,11,1,9,3,10,1,9,2,8,1,11,1,9,3,8,1,9,2,11,1,17,1,9,2,8,1,24,1,10,1,9,2,8,3,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,9,1,13,1,8,1,13,1,9,2,13,1,9,1,8,1,9,1,13,1,9,3,11,1,10,1,9,1,11,1,9,1,10,1,12,1,10,1,12,1,17,1,12,1,17,1,12,1,17,5,11,1,9,2,13,1,7,1,13,1,6,1,13,2,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,8,1,13,1,9,1,8,2,13,1,8,1,13,4,7,1,13,2,6,1,13,2,7,1,8,1,13,1,8,1,9,1,10,2,17,13,12,1,9,3,13,1,9,1,8,1,13,1,9,2,8,4,13,1,9,2,8,1,9,1,8,1,9,1,8,1,10,1,9,1,12,1,9,1,8,1,9,3,13,1,7,1,9,1,11,1,17,1,16,1,8,1,11,1,13,1,11,1,13,1,9,2,17,1,10,1,9,2,11,1,8,1,9,1,10,1,9,2,10,1,17,1,9,1,13,1,9,1,8,1,13,2,11,1,9,1,8,1,9,2,13,2,9,1,8,1,13,1,8,2,13,5,7,3,13,1,7,2,13,1,7,1,13,2,29,1,13,4,7,1,8,1,13,1,7,1,13,1,7,1,6,3,7,1,8,1,13,1,9,1,29,1,13,2,6,1,7,4,6,3,7,1,13,4,7,2,8,1,9,1,8,2,9,3,10,1,24,1,10,1,9,2,12,1,10,1,8,1,17,1,12,1,11,1,9,1,17,1,12,1,10,1,11,1,10,1,12,2,10,1,17,1,12,2,11,1,10,1,11,1,12,1,17,1,12,3,17,1,12,1,17,2,9,1,12,1,11,1,12,1,10,1,17,1,11,1,17,2,12,1,17,2,12,1,17,1,9,1,17,1,10,1,11,1,10,1,12,1,10,1,11,1,12,4,17,1,9,1,30,1,29,1,30,1,28,1,30,1,29,1,30,1,6,1,13,2,8,2,13,1,7,1,13,2,24,1,12,1,17,37,12,2,17,3,14,2,15,1,24,3,16,2,10,1,6,1,28,1,30,1,6,1,28,2,30,3,9,1,17,7,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,4,9,1,12,1,10,1,12,1,11,1,9,1,11,1,9,1,8,1,9,1,24,1,8,1,24,1,9,1,13,1,9,1,12,1,17,1,11,1,8,1,13,1,9,1,8,1,13,1,8,2,24,2,8,3,24,2,8,1,13,2,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,6,1,30,1,6,1,30,1,28,1,6,2,28,1,30,3,28,2,30,1,6,1,28,1,30,2,28,3,30,2,28,2,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,4,28,1,30,2,28,2,30,2,28,4,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,4,30,2,28,4,30,1,28,11,30,2,29,1,28,8,30,1,28,2,30,3,28,5,30,1,28,1,30,2,6,1,28,2,30,1,28,1,30,3,28,1,30,2,29,1,28,2,30,1,28,1,30,2,28,1,30,4,28,1,30,2,28,4,30,2,28,1,30,2,6,1,28,1,6,1,30,1,6,1,30,4,28,1,30,4,6,1,30,1,6,2,30,5,28,1,30,3,28,1,30,3,28,2,30,2,6,1,13,2,8,1,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,11,30,1,28,1,30,1,28,1,30,2,29,1,7,1,28,1,30,4,6,3,13,2,6,2,29,1,6,1,13,1,30,2,28,1,30,3,28,1,30,1,28,10,30,1,6,1,28,4,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,10,30,2,28,1,30,1,28,4,30,10,28,3,30,3,6,1,13,2,8,2,6,1,30,1,28,1,30,1,6,1,30,1,6,1,28,2,30,1,28,1,30,2,28,4,13,1,6,2,30,1,6,1,13,1,30,2,28,1,6,1,28,4,30,2,28,3,30,1,13,2,28,3,30,1,28,4,30,2,28,2,29,1,28,3,30,1,28,4,30,2,28,2,30,1,28,4,30,1,28,1,30,2,6,1,30,3,28,2,30,1,28,2,30,3,6,1,30,1,28,6,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,7,28,1,30,1,28,1,6,1,30,1,6,1,28,1,6,2,30,2,28,1,30,4,28,1,30,2,28,2,30,1,28,2,30,3,28,9,30,1,28,1,29,1,30,1,28,10,6,1,30,6,28,9,30,1,6,1,28,21,30,3,28,6,8,1,9,5,11,1,9,1,8,1,9,2,8,1,9,1,13,1,9,2,12,1,10,1,11,1,9,1,24,1,12,1,10,1,9,2,8,1,9,1,12,2,17,2,11,1,17,2,11,1,9,1,8,1,9,1,13,1,9,2,13,5,8,1,13,1,10,1,13,1,9,1,13,1,9,1,16,1,11,3,16,2,17,6,10,1,17,1,10,2,9,1,8,1,7,1,29,5,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,10,10,1,8,1,11,1,12,1,17,1,12,1,17,1,10,1,11,1,12,1,11,6,9,1,11,1,9,3,13,1,9,5,10,1,9,1,10,2,11,1,9,1,11,2,16,1,9,1,11,2,17,1,12,1,10,1,16,1,17,1,11,1,9,5,8,2,11,1,9,2,10,1,13,1,9,1,13,2,8,1,7,1,13,1,6,3,13,1,6,5,7,1,30,1,13,2,30,1,13,1,6,2,13,1,28,1,6,8,13,1,30,2,13,1,29,1,30,4,28,4,30,1,28,2,30,2,28,1,30,1,28,1,29,1,30,1,7,1,8,1,13,2,30,4,13,1,30,2,6,1,30,2,6,1,30,1,28,1,30,2,29,1,7,1,6,1,30,1,29,1,30,2,28,1,6,1,29,1,6,1,30,1,6,1,13,1,6,1,13,1,7,1,8,1,7,1,9,1,13,4,8,1,13,4,6,1,13,2,6,2,7,1,6,2,29,1,6,3,13,1,6,3,7,1,13,5,8,1,13,2,8,2,9,2,8,1,9,1,8,1,9,5,8,6,13,2,9,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,9,1,8,2,11,1,13,1,12,1,9,3,13,1,8,1,9,1,8,2,9,1,8,1,13,2,8,1,9,2,10,1,11,1,17,2,9,1,16,2,11,1,17,1,16,1,17,18,10,1,16,1,17,1,12,1,17,1,9,1,11,1,9,2,8,2,9,2,13,1,8,2,13,1,6,3,7,1,6,2,13,2,7,1,13,3,6,2,13,1,6,3,29,1,7,2,6,2,13,1,6,1,13,5,8,1,13,1,8,4,9,1,10,1,9,3,11,1,10,1,8,1,11,1,10,1,13,2,29,1,27,1,29,1,27,2,29,1,30,1,29,1,28,1,30,1,29,3,28,1,30,1,28,4,30,2,28,5,30,4,28,1,30,3,28,2,29,1,28,1,30,2,28,10,6,1,9,1,13,1,7,2,28,1,30,1,28,10,30,1,28,4,30,6,29,1,6,2,29,1,6,4,29,1,6,1,13,1,6,2,13,1,7,1,13,1,7,2,8,1,11,1,17,2,16,1,17,3,11,2,9,1,11,1,9,1,11,1,8,1,11,1,8,2,13,2,9,1,13,2,7,1,13,2,6,1,13,1,6,1,13,1,7,1,8,1,6,1,13,2,9,1,8,1,13,1,8,1,6,1,13,2,6,1,13,2,6,1,13,5,9,1,8,1,9,2,11,1,9,4,8,3,7,1,13,1,6,1,8,1,7,1,13,2,6,2,13,2,6,5,13,1,9,1,10,1,9,1,11,2,9,1,16,1,11,2,9,2,10,1,9,3,8,1,9,1,8,1,9,1,8,1,9,5,8,3,11,2,9,1,11,1,8,1,9,2,13,1,9,1,13,1,8,1,9,3,8,2,9,3,13,1,8,3,9,1,8,1,9,1,13,1,8,2,9,1,8,1,10,1,13,1,9,2,8,1,9,1,13,1,8,1,9,3,11,1,9,3,10,1,8,1,9,3,8,3,6,3,28,1,6,1,30,1,28,1,30,1,28,1,30,4,28,3,30,2,6,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,2,29,1,6,2,28,1,6,1,28,1,30,5,6,1,30,2,28,11,30,1,28,1,30,1,6,1,28,9,30,3,28,1,30,2,28,20,17,2,9,1,8,1,13,2,29,2,30,1,28,13,30,1,28,1,7,1,30,1,9,3,11,1,9,1,16,1,30,1,28,6,13,1,16,1,8,1,7,1,28,41,29,1,11,1,16,1,6,2,28,2,13,1,17,1,9,1,30,1,28,2,29,1,30,2,13,2,30,1,9,2,17,1,13,1,28,6,13,1,6,1,28,5,}, {14,1,6,1,28,52,29,1,28,1,10,1,9,1,24,1,13,1,30,1,6,1,28,1,30,1,13,1,17,1,13,1,6,3,9,1,17,3,16,4,11,1,9,1,8,1,6,1,28,5,30,1,13,1,11,1,13,1,7,1,6,1,29,2,13,2,10,1,17,2,16,1,17,2,9,2,13,1,8,1,13,1,9,1,10,1,17,4,13,1,9,1,13,1,6,1,7,1,13,1,8,1,28,38,30,1,13,1,12,1,9,1,10,1,24,1,6,1,30,2,28,1,6,1,13,1,8,1,9,1,16,1,17,8,16,1,9,1,10,1,13,1,6,1,29,1,13,2,6,1,13,2,6,1,10,1,9,1,8,1,9,1,11,1,9,2,17,1,16,1,17,1,6,1,28,16,30,1,17,8,16,1,17,8,12,1,17,3,12,2,17,1,12,1,17,1,12,5,17,9,12,1,17,5,12,1,17,1,11,1,17,2,12,2,17,1,10,1,11,1,9,4,13,2,7,1,6,2,7,1,6,1,30,1,29,1,6,1,30,1,6,6,29,1,30,1,6,1,29,1,6,3,29,1,30,1,6,1,13,2,10,1,12,1,10,1,8,1,24,1,8,2,13,1,8,1,13,1,8,1,13,4,9,1,24,1,9,1,8,1,9,1,13,1,11,1,9,3,12,1,9,2,12,1,11,1,9,1,11,1,12,1,17,3,11,1,12,1,16,1,17,1,16,1,17,2,11,1,17,2,12,1,11,1,17,1,11,1,10,1,9,1,10,1,11,1,10,1,9,3,10,1,9,1,8,1,9,1,17,1,9,5,12,1,10,1,11,1,10,1,12,1,11,1,17,1,11,1,12,1,10,1,17,1,12,1,11,1,17,2,11,1,16,1,17,1,12,1,11,1,12,1,10,1,17,1,12,1,17,1,11,1,10,1,17,1,10,1,17,1,12,1,10,1,11,1,17,2,9,1,12,1,9,2,10,1,8,1,10,1,9,2,10,2,9,2,13,2,9,1,8,1,9,1,8,1,13,1,8,3,24,1,8,2,11,2,24,1,8,4,9,2,13,1,9,2,8,1,9,1,8,1,9,2,24,1,9,5,8,5,13,1,8,1,13,1,8,1,30,1,13,1,9,1,11,1,17,1,12,1,17,9,11,1,10,1,11,2,9,3,11,1,12,1,9,6,10,1,9,1,11,2,9,1,17,1,10,1,9,3,8,1,9,2,13,1,9,1,8,2,9,1,8,2,13,1,9,1,13,1,8,1,13,3,8,1,13,2,8,1,9,1,8,2,9,1,8,3,9,1,8,1,9,2,10,1,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,7,11,1,8,2,13,7,6,1,13,1,6,1,7,1,13,1,7,1,6,1,30,1,13,2,7,1,8,1,9,1,8,1,13,1,8,4,13,4,7,1,13,2,6,1,13,3,9,1,8,1,9,1,12,1,17,10,11,1,17,1,12,1,9,1,10,1,9,2,10,1,13,1,8,2,13,1,7,1,9,1,13,2,9,1,8,1,11,1,8,1,13,2,10,1,13,1,9,2,8,1,9,5,8,1,9,3,17,1,12,1,8,1,13,1,8,4,11,1,13,1,10,1,11,1,8,1,9,1,13,1,9,1,13,1,10,1,8,1,10,1,13,1,12,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,13,3,8,1,9,2,13,2,9,1,13,3,8,1,13,5,7,1,13,1,6,1,7,1,13,1,6,1,8,1,6,1,13,1,8,1,13,2,6,1,13,4,8,1,13,1,7,2,6,1,8,3,7,1,6,3,7,1,13,1,6,1,7,1,6,1,7,2,13,1,8,1,13,2,9,1,8,2,11,1,9,1,24,1,10,1,24,1,8,1,11,1,24,1,9,1,10,1,11,3,10,1,17,2,9,1,12,2,17,1,11,1,17,1,12,1,9,1,11,1,10,1,9,1,17,1,12,1,9,1,17,2,10,1,17,7,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,11,2,10,1,17,1,12,1,10,1,11,1,12,1,9,1,12,1,17,2,11,1,12,3,10,1,17,1,10,1,12,1,13,1,30,1,28,1,30,2,29,1,30,2,6,1,7,1,13,1,8,3,13,1,8,1,24,1,13,1,17,25,12,1,17,11,12,1,17,5,16,1,13,2,24,1,12,1,16,1,10,1,13,1,30,3,6,1,28,1,30,3,28,1,9,1,17,15,12,1,17,2,12,1,17,1,11,1,12,1,10,1,12,1,17,1,9,2,10,1,8,1,9,3,8,1,13,1,24,1,17,2,9,1,12,1,8,2,13,2,8,1,13,1,24,1,8,1,13,1,9,2,13,1,9,1,8,3,9,1,28,2,30,1,28,1,6,2,30,2,28,2,30,1,28,3,30,1,28,1,30,2,28,4,6,1,30,1,6,1,28,1,30,2,6,1,29,1,28,1,29,1,28,1,30,1,28,2,6,1,30,3,28,1,30,2,28,1,30,2,28,1,6,1,30,3,29,1,28,1,6,1,30,6,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,1,30,2,28,3,30,1,28,1,29,1,13,1,28,3,30,2,28,2,30,5,28,2,29,1,28,1,6,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,2,30,2,28,1,30,1,28,7,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,6,1,30,1,6,2,30,1,28,1,29,1,30,1,28,2,29,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,4,30,1,28,2,30,3,28,2,6,2,28,1,30,2,28,1,30,1,29,1,30,1,28,3,30,3,7,1,30,1,6,1,30,3,28,1,6,1,30,5,28,7,30,1,28,1,30,1,9,1,13,1,6,1,13,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,29,1,30,3,28,2,6,1,28,1,30,1,28,1,30,1,28,4,30,1,28,6,6,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,7,1,30,2,6,2,13,1,6,1,29,1,13,1,30,1,13,2,6,2,30,4,6,1,28,1,30,2,28,4,30,1,28,4,30,2,28,1,30,2,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,7,6,1,28,1,30,1,28,5,30,1,28,1,30,3,28,1,30,1,28,5,30,1,28,1,30,1,29,2,6,1,30,3,28,3,30,2,28,1,30,1,28,2,29,1,30,1,6,1,13,1,8,1,6,1,28,1,30,3,28,1,30,1,28,3,30,1,28,2,30,1,28,4,7,1,30,1,28,2,30,2,28,1,6,1,30,1,6,1,28,2,30,1,6,1,30,1,28,5,9,1,30,3,28,2,6,1,30,1,28,1,30,2,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,2,29,1,30,1,6,1,30,1,28,2,30,1,28,7,30,2,28,7,30,1,28,1,30,1,28,1,30,2,28,1,30,2,6,2,30,2,6,1,30,2,28,1,30,3,28,1,6,1,30,1,28,2,30,4,28,1,30,1,29,1,30,1,28,3,30,1,28,2,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,5,30,2,13,2,29,1,28,1,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,20,30,1,28,8,6,1,9,5,8,2,13,1,9,2,10,1,9,2,8,1,10,1,11,2,12,1,17,1,12,1,9,1,12,1,8,1,10,1,12,1,8,1,24,1,17,1,12,1,17,2,11,1,12,1,11,1,10,1,9,2,8,1,13,1,9,1,13,3,8,1,13,1,8,1,13,1,8,1,11,1,8,1,9,3,11,3,17,2,11,1,17,6,11,1,12,1,9,1,10,1,9,1,13,1,7,1,30,1,29,1,27,1,29,2,30,1,28,1,30,3,28,2,30,1,28,5,30,1,28,2,29,1,9,1,8,1,16,1,12,3,11,1,12,1,11,2,9,1,12,1,10,1,17,1,9,4,8,2,9,1,8,2,13,1,9,2,8,1,9,1,8,1,9,2,10,2,11,2,9,1,12,1,10,1,11,2,12,1,17,1,12,1,10,2,9,2,11,1,9,1,12,1,9,1,11,2,9,1,10,1,8,1,9,2,13,1,9,1,13,3,6,1,13,1,6,1,13,1,6,1,7,1,29,1,7,1,6,1,29,1,6,1,7,1,6,3,13,1,6,1,30,1,6,3,29,1,6,5,30,1,6,1,30,4,28,3,30,1,28,2,30,3,28,1,30,2,28,1,30,2,6,2,30,1,29,1,28,2,30,1,6,1,30,3,28,1,6,1,28,1,30,10,29,1,30,1,7,1,29,1,30,2,6,4,13,8,9,1,8,1,13,1,8,1,13,5,6,2,30,1,28,1,6,1,29,1,30,2,6,3,30,1,6,2,7,1,13,1,6,2,8,1,13,6,8,1,13,3,8,1,9,3,16,1,9,2,11,1,9,1,13,1,10,1,11,1,8,1,9,1,8,1,9,1,13,1,9,2,13,1,9,2,11,2,17,1,9,5,13,1,8,1,13,3,8,4,13,1,8,1,9,2,10,1,11,1,9,1,11,3,16,1,11,4,16,1,11,1,16,1,17,17,11,1,12,2,9,1,12,1,9,5,8,1,13,4,7,1,6,1,13,2,6,2,13,2,7,1,6,4,29,1,6,2,7,2,13,1,6,2,30,1,29,1,6,1,13,1,7,1,13,3,7,1,13,3,8,1,9,1,17,1,11,1,9,1,11,1,9,2,10,1,17,1,9,1,13,1,8,1,13,1,7,1,13,1,26,1,29,1,27,3,29,2,27,1,29,2,27,1,29,1,27,1,28,1,30,1,28,2,29,1,28,2,30,2,28,3,30,1,28,2,30,2,28,2,30,1,28,2,30,1,28,13,30,1,8,1,7,1,13,1,30,4,28,9,30,3,28,1,30,2,29,1,30,2,6,1,30,2,28,1,6,3,13,1,29,1,6,2,7,2,6,1,13,1,6,1,13,5,16,1,17,6,11,4,9,2,13,1,9,1,8,1,13,1,8,1,13,1,8,2,13,1,6,1,13,1,7,1,13,1,7,1,13,1,7,1,13,2,8,1,13,7,9,1,13,5,6,1,13,1,6,1,13,3,11,1,9,1,11,1,16,1,9,3,8,1,13,1,9,1,7,1,8,1,13,1,9,1,13,3,7,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,2,13,1,8,1,13,1,9,2,16,1,9,1,11,2,9,1,11,1,9,1,11,1,9,2,8,2,9,1,13,1,8,2,9,1,8,1,13,1,9,2,8,1,9,1,11,1,8,1,9,4,13,1,9,1,13,1,9,2,8,1,9,1,8,2,9,3,13,1,8,1,9,1,6,1,8,2,13,1,9,1,13,2,8,1,13,1,8,3,13,1,8,1,13,1,11,1,9,1,10,1,11,1,9,5,11,2,9,2,10,2,13,1,6,1,30,1,29,1,28,1,30,3,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,3,28,1,30,1,28,1,30,1,28,3,30,2,28,1,6,1,29,1,30,2,28,1,6,1,30,2,28,3,6,1,30,1,28,1,30,4,28,2,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,3,28,3,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,3,30,2,28,18,17,3,9,2,30,2,28,17,13,1,7,1,9,1,11,2,10,1,11,1,9,1,28,7,13,1,10,1,9,1,28,41,30,1,13,1,9,1,13,1,6,1,28,3,8,1,17,1,11,1,29,1,28,2,30,2,6,2,30,2,9,1,16,1,17,1,7,1,28,5,6,1,13,1,30,1,28,5,}, {8,1,6,1,28,27,30,1,28,2,30,1,28,1,30,1,28,17,30,1,28,2,13,1,12,2,13,1,8,1,7,1,6,1,28,1,6,1,13,1,17,1,13,1,30,1,6,2,10,1,17,3,16,2,9,1,11,1,17,1,16,1,8,1,13,1,28,3,30,1,28,1,29,2,11,1,8,1,13,2,30,1,6,1,29,1,6,1,13,1,12,1,16,2,11,2,10,1,8,1,9,1,8,1,9,1,12,1,11,2,17,2,16,1,10,1,8,1,6,2,13,1,9,1,7,1,30,1,28,38,8,1,10,1,11,1,17,1,13,1,6,1,28,4,13,1,8,1,10,1,17,8,9,2,8,1,13,2,8,1,7,1,30,1,7,1,29,1,13,2,7,1,8,2,9,1,11,1,17,1,11,2,16,1,17,2,13,1,28,17,9,1,17,7,16,1,17,14,12,1,17,1,12,1,17,4,10,1,17,14,12,1,17,1,12,4,17,1,11,1,10,1,11,1,12,1,8,1,13,1,7,1,13,2,6,1,7,1,6,1,30,5,6,1,29,4,6,3,30,1,29,1,6,1,29,1,7,2,6,2,13,2,24,1,9,1,10,1,12,1,9,1,10,1,24,1,13,1,6,1,8,1,13,1,8,2,9,1,8,1,13,2,8,1,9,3,8,1,9,2,10,1,9,2,8,1,9,1,10,2,11,2,10,1,9,4,17,1,11,1,17,1,11,1,17,13,11,1,17,1,11,1,17,1,9,2,16,1,11,2,9,1,11,1,17,1,12,1,17,2,12,1,11,1,17,21,11,1,17,1,11,1,17,3,11,1,12,1,10,1,12,2,17,1,10,3,12,1,11,2,9,2,12,1,9,1,11,1,9,2,17,1,24,1,9,1,8,1,9,2,8,1,9,1,24,1,13,1,8,1,24,1,8,1,9,1,12,1,9,2,13,1,9,1,13,1,8,3,9,1,24,2,10,1,9,2,8,3,9,1,10,1,24,1,9,1,12,2,9,4,10,1,9,1,12,1,17,1,10,1,17,9,12,1,11,1,12,1,17,1,12,1,10,2,8,1,10,1,11,1,9,1,10,1,9,2,8,1,9,2,11,3,9,1,11,1,8,1,12,1,17,1,11,1,9,2,8,1,11,1,10,1,9,1,7,1,9,1,8,1,9,2,13,1,9,2,8,3,13,1,8,1,13,1,9,1,13,1,8,1,13,1,9,2,8,2,9,1,8,3,9,2,10,1,11,1,24,1,10,1,12,1,17,11,9,1,13,4,6,1,13,2,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,3,7,1,13,3,9,1,13,1,8,1,13,4,8,2,13,3,30,1,9,1,13,2,8,1,9,1,11,1,10,1,12,1,17,9,12,1,17,1,12,1,11,1,12,2,11,1,12,1,9,1,8,1,9,2,8,1,9,2,8,2,13,1,8,1,13,2,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,2,17,1,9,2,8,1,9,2,11,1,8,1,9,1,8,1,9,2,8,1,10,1,9,1,10,1,8,3,9,1,8,2,13,2,8,2,13,1,24,1,13,2,10,1,8,1,9,1,8,1,13,1,8,1,13,5,8,1,7,2,13,1,7,1,6,1,13,1,6,1,13,1,7,1,13,3,7,1,24,1,13,1,6,1,13,1,7,1,13,1,7,2,6,1,7,1,13,1,7,1,6,1,13,2,7,1,6,1,13,1,7,1,13,1,7,1,6,1,7,1,6,1,7,1,29,1,7,3,13,2,8,3,9,2,13,1,8,1,11,1,8,1,9,1,10,1,9,3,11,1,12,1,9,1,17,4,11,1,12,1,17,1,9,1,17,1,11,1,17,1,12,2,10,1,17,1,12,1,11,1,17,1,12,1,17,2,12,1,17,3,12,1,17,6,11,1,17,4,10,1,12,1,17,3,11,1,17,1,11,1,17,1,11,1,12,2,11,1,17,1,10,1,11,3,9,1,11,2,8,1,30,3,28,1,30,1,29,1,30,1,6,1,30,1,6,2,13,5,7,1,13,1,10,1,17,38,11,1,10,1,8,1,13,1,6,1,9,1,10,1,17,1,11,1,13,1,28,1,30,1,28,1,30,1,6,1,28,2,30,2,28,1,11,1,17,4,12,1,17,2,12,1,17,4,11,1,17,3,11,1,12,1,17,3,11,2,17,2,11,1,9,1,24,1,11,1,9,1,8,1,9,2,8,1,11,1,17,1,11,1,10,1,9,4,13,1,9,2,8,5,9,6,6,1,30,1,28,1,30,10,28,5,30,1,28,2,6,2,30,2,6,1,28,1,30,1,29,1,28,1,30,2,28,3,29,1,30,1,28,8,30,2,29,1,28,1,30,1,28,1,30,5,28,1,30,2,28,2,30,1,13,1,28,1,30,2,28,1,30,2,28,1,30,1,28,5,6,1,28,3,7,1,29,1,28,2,30,1,28,10,30,7,28,1,30,2,28,3,30,1,28,1,30,3,28,3,30,2,28,3,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,1,30,2,28,1,13,1,6,1,30,6,28,2,30,2,28,1,30,2,28,2,30,1,28,1,6,1,28,1,30,1,28,8,30,2,28,1,30,1,28,1,30,3,28,2,29,1,30,2,28,2,30,3,28,2,30,1,28,1,30,2,29,1,6,1,28,1,30,3,28,6,30,1,29,1,6,1,30,1,13,1,8,2,13,1,30,2,28,5,30,1,28,3,6,1,30,1,6,2,30,5,6,1,30,3,28,1,30,1,28,2,30,1,6,2,30,2,28,1,30,1,28,1,30,1,28,2,30,1,6,2,13,2,6,3,7,1,6,2,13,1,7,1,30,2,6,1,30,4,6,1,7,2,30,1,28,1,30,2,28,14,6,1,28,1,30,3,28,3,30,1,28,5,30,1,28,3,30,2,28,2,30,2,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,13,2,6,2,29,2,28,1,30,1,28,3,30,2,6,1,30,1,6,1,13,2,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,6,1,28,7,30,1,6,1,30,2,28,1,30,4,6,1,28,5,30,1,28,1,30,1,28,2,9,1,7,2,28,2,30,3,28,2,30,3,13,1,30,3,28,1,6,1,30,1,28,2,6,1,30,1,28,3,30,1,28,1,30,1,28,3,30,2,28,3,6,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,3,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,3,6,1,30,2,6,1,30,4,28,2,30,2,6,1,28,1,30,3,28,1,30,1,28,9,30,3,28,1,30,1,28,9,30,1,28,2,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,4,13,1,6,1,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,1,6,1,28,20,30,1,28,8,9,3,13,1,8,1,13,1,9,1,13,1,8,1,9,3,13,1,9,1,24,1,9,1,17,1,10,1,9,1,12,1,8,2,24,1,10,1,8,1,12,2,11,1,17,1,12,1,17,1,10,1,12,1,11,1,17,1,11,1,9,2,13,5,9,1,13,2,9,1,13,1,9,1,10,1,9,1,10,2,11,4,17,1,11,1,17,5,11,1,17,1,11,3,9,1,8,1,13,1,6,1,30,1,6,1,29,1,30,1,6,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,29,2,28,7,29,1,16,1,11,1,16,1,10,1,11,1,17,1,10,1,17,1,11,2,9,1,17,1,9,1,10,1,11,1,9,3,13,1,8,1,13,1,6,1,13,3,8,2,9,1,8,1,10,1,9,2,12,1,9,2,11,1,9,1,11,1,17,2,11,2,17,1,9,1,10,1,12,2,9,1,10,1,13,1,9,1,11,1,9,1,8,1,9,2,10,1,8,2,13,4,7,1,13,1,6,3,7,1,13,2,6,1,13,1,6,2,13,1,28,1,6,2,13,1,6,3,13,1,29,1,6,5,28,1,6,1,28,1,30,2,28,2,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,6,1,30,1,28,1,30,1,29,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,1,30,3,28,1,6,1,30,5,6,1,30,1,6,1,30,1,6,2,13,2,6,1,13,3,8,2,13,1,29,1,13,3,8,1,7,1,13,1,7,1,6,1,7,1,29,1,6,2,29,1,6,1,28,1,6,1,30,1,6,1,29,1,6,2,7,1,6,2,13,2,29,1,13,2,8,1,13,1,9,1,13,1,8,1,13,2,8,1,13,1,8,1,11,1,9,7,13,1,9,1,13,6,9,1,11,1,9,2,12,1,13,2,9,2,8,1,10,1,13,2,9,2,8,1,13,1,9,1,8,1,9,1,13,2,9,3,11,1,10,1,9,1,11,2,9,1,11,1,9,1,10,1,9,1,11,1,9,2,11,1,10,1,11,1,9,1,17,11,16,1,17,2,11,2,12,1,11,2,12,1,9,1,11,1,9,1,13,1,11,1,8,1,13,2,6,1,13,2,6,1,29,1,6,1,30,1,13,2,6,1,13,1,30,1,6,1,13,1,6,1,7,1,6,2,13,1,6,1,13,2,6,1,13,1,7,1,6,1,13,4,8,1,9,1,13,1,9,2,8,1,17,1,13,1,9,1,8,1,9,3,11,1,10,1,9,1,8,1,13,1,7,1,29,1,26,2,27,1,26,1,29,1,27,1,30,2,29,1,27,1,29,4,30,1,28,3,30,1,28,1,30,2,28,1,30,1,29,1,30,1,28,10,30,1,28,11,30,1,13,2,7,1,6,1,30,1,28,15,30,8,13,2,6,4,30,1,7,1,29,1,13,1,6,2,13,5,17,8,16,1,9,1,13,1,9,4,8,1,9,1,8,1,13,3,30,1,13,4,7,1,13,1,6,1,13,1,6,1,13,2,8,1,13,2,8,1,13,1,8,1,13,1,8,1,13,3,7,1,6,1,13,2,6,1,13,2,9,3,16,1,11,1,9,1,11,1,8,2,9,1,13,1,8,1,13,1,30,1,13,2,8,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,29,1,13,3,6,1,13,2,6,1,9,3,11,1,8,2,11,1,9,1,11,1,9,1,11,1,8,1,9,1,8,1,11,1,9,1,13,1,9,5,11,1,8,1,16,1,11,1,10,1,9,3,8,1,16,1,10,1,9,4,10,1,9,5,8,1,9,1,8,2,10,1,9,2,13,1,8,1,9,1,13,2,9,1,8,1,9,1,11,1,8,1,10,1,11,1,9,1,10,3,9,1,10,1,9,1,11,1,9,3,8,1,7,1,29,1,30,6,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,6,1,7,1,30,1,28,3,30,1,28,3,30,3,6,3,30,1,6,1,29,1,13,1,28,1,30,1,28,1,29,1,30,2,28,5,30,1,28,3,30,1,28,7,30,3,28,8,30,1,28,5,30,1,28,19,17,2,10,1,9,1,13,1,6,1,29,1,28,15,30,2,6,2,8,1,9,1,10,1,16,1,9,2,28,7,7,1,17,1,13,1,30,1,28,39,6,1,30,2,8,1,11,1,29,1,28,3,8,1,17,1,9,1,28,5,30,1,13,1,6,2,9,1,16,1,17,1,30,1,28,6,6,2,28,5,}, {9,1,7,1,28,26,30,1,28,2,30,1,28,1,6,2,28,1,30,1,28,18,24,1,10,1,12,1,9,1,6,1,13,1,6,1,28,1,6,1,8,1,10,1,9,1,30,2,6,1,8,1,12,1,17,1,16,1,17,1,16,1,11,1,12,1,11,1,9,2,13,1,30,1,28,3,30,1,28,1,30,1,10,1,8,2,13,1,29,1,30,1,6,1,7,1,9,1,11,1,16,2,9,1,16,1,13,1,7,1,8,1,13,2,9,1,11,2,17,3,10,1,13,2,30,1,13,1,8,2,29,1,28,37,30,1,29,1,17,1,12,1,11,1,7,1,30,1,28,3,30,1,6,1,13,1,12,1,17,5,16,1,12,2,8,1,13,2,7,2,13,1,7,1,6,3,8,1,13,1,7,1,8,1,9,1,8,1,9,1,13,1,17,1,16,1,11,1,17,2,13,1,28,17,9,1,17,20,12,1,17,3,12,1,17,2,12,1,17,14,12,1,17,4,12,1,11,1,12,2,9,2,8,2,9,1,8,1,13,1,6,2,30,1,6,4,30,1,6,1,30,2,6,2,30,1,6,4,29,1,6,3,7,2,13,1,7,1,13,1,8,1,10,1,9,1,12,2,10,1,9,2,24,1,8,2,24,1,6,1,13,1,11,1,13,1,8,4,9,1,13,1,8,2,9,1,11,1,9,1,8,3,11,1,8,1,11,1,10,1,12,1,9,1,11,1,17,1,12,1,11,2,9,1,11,5,17,1,16,1,17,13,12,1,17,27,12,1,17,2,16,1,17,1,9,1,17,1,9,1,8,1,16,1,11,1,10,1,17,1,11,1,12,3,11,3,10,1,12,1,10,1,9,1,12,1,24,1,9,5,24,1,8,1,9,3,13,1,8,1,9,1,10,1,13,1,9,1,8,1,11,1,12,2,9,3,10,1,13,1,8,1,10,1,8,1,10,1,9,2,8,4,9,2,12,1,17,23,11,1,17,1,10,1,9,1,11,1,10,1,9,2,8,1,9,1,8,1,9,3,10,1,9,6,11,1,12,1,9,1,8,1,9,1,8,2,11,1,9,1,8,3,13,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,10,1,13,1,8,1,13,3,8,1,13,1,8,3,13,1,9,1,13,1,9,2,8,1,9,3,10,1,11,1,17,1,10,1,17,1,12,1,17,1,12,1,17,5,10,1,13,15,6,1,7,1,13,1,6,1,13,2,8,2,13,1,8,1,13,4,8,1,9,1,13,1,6,1,13,4,9,2,11,2,17,1,12,1,17,7,11,1,17,2,9,1,12,1,10,1,17,1,11,1,12,2,17,1,9,1,8,2,13,1,8,2,6,1,8,2,13,1,8,1,13,1,9,1,8,3,13,3,9,1,13,1,9,1,13,1,9,3,17,1,11,1,9,1,10,1,9,1,13,1,8,2,9,3,11,1,10,1,13,1,8,1,7,1,13,2,9,1,13,2,8,6,9,1,6,1,24,1,13,4,8,1,13,2,9,1,8,4,13,7,7,1,13,1,7,1,13,5,8,1,13,4,6,1,13,1,7,1,8,2,13,1,7,3,6,1,13,1,7,2,13,1,7,1,13,1,7,1,6,1,13,1,6,2,7,1,6,1,13,2,8,2,9,1,8,1,9,1,12,1,9,1,8,1,24,1,10,1,9,1,10,1,9,1,12,1,10,2,11,1,17,2,11,1,17,2,12,1,17,4,12,1,17,1,12,1,17,1,12,1,10,1,11,1,17,1,12,1,17,2,12,1,17,2,11,1,17,1,12,1,17,1,10,1,17,1,12,1,17,3,12,2,11,1,17,1,11,1,17,4,11,2,17,2,10,1,9,1,11,1,9,1,11,5,10,1,11,2,9,1,6,1,30,7,6,1,30,1,6,2,13,1,6,1,7,1,6,3,9,1,11,1,17,34,12,2,17,1,9,2,13,1,9,1,12,1,16,2,11,1,13,1,7,1,28,1,30,2,29,1,6,1,30,1,6,1,30,1,28,1,6,1,11,1,17,10,10,1,17,8,11,3,12,2,11,1,12,1,8,1,10,1,9,3,13,2,11,2,12,1,11,1,12,1,13,2,7,1,8,1,13,1,8,2,24,1,13,1,8,1,24,3,13,1,9,3,13,2,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,3,28,2,30,2,28,2,30,2,28,2,30,1,6,1,30,1,29,2,6,1,30,10,6,1,30,1,28,4,6,1,28,2,29,2,30,1,6,1,28,2,30,3,28,1,29,1,28,1,30,2,28,2,30,1,28,1,30,1,29,1,28,1,30,3,28,1,30,1,28,1,30,3,28,4,13,2,28,1,30,1,28,1,6,1,30,1,28,2,30,2,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,2,28,2,30,1,28,1,30,3,6,1,30,2,6,1,28,2,30,1,28,1,30,1,7,1,13,1,30,1,6,1,28,2,30,1,28,1,6,1,30,1,28,2,6,1,30,1,28,2,30,2,6,1,30,6,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,6,3,30,5,6,1,30,4,6,1,30,4,28,1,30,7,28,2,30,1,28,1,6,1,28,1,13,4,28,3,6,1,28,2,30,1,28,2,6,2,30,3,28,1,30,2,6,1,30,4,28,2,30,1,28,3,30,2,6,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,7,1,6,1,7,2,6,1,29,1,28,1,6,1,29,1,30,1,6,1,13,1,30,3,6,1,28,1,30,2,6,1,13,1,30,1,6,1,30,1,28,10,30,1,28,2,6,1,28,2,30,2,6,1,30,1,28,1,30,1,28,1,30,2,28,6,30,1,28,1,30,1,28,8,30,1,28,2,30,1,28,2,6,1,28,2,13,1,28,5,6,1,9,1,30,1,6,5,28,2,30,1,6,3,13,3,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,2,6,1,28,2,30,1,7,1,28,9,30,1,8,1,30,1,28,3,30,5,28,1,30,1,29,1,13,1,28,1,30,2,28,3,30,3,28,1,30,2,28,2,29,1,30,1,28,1,30,2,28,5,30,2,28,1,30,1,28,1,30,5,28,1,30,3,28,2,30,1,28,1,6,1,28,1,6,1,28,1,30,6,28,1,30,2,28,2,30,3,28,1,6,2,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,1,30,1,28,5,30,1,28,3,6,1,28,3,30,3,28,3,30,1,28,1,30,1,28,1,30,3,6,1,13,1,28,1,30,2,28,1,30,1,28,10,6,1,29,1,28,10,30,1,28,4,30,1,6,1,28,1,30,3,28,6,13,1,11,1,8,1,9,1,8,1,13,1,9,2,8,1,13,1,11,1,9,1,13,1,9,3,11,1,9,1,10,1,17,1,9,2,10,1,24,1,8,1,24,1,12,3,17,4,11,2,12,1,9,1,11,1,9,4,13,1,9,3,8,1,9,1,13,1,11,1,8,1,11,1,8,1,9,2,11,2,17,8,11,1,10,1,17,1,11,1,12,1,9,1,24,1,13,1,6,1,29,1,27,1,30,1,29,1,6,1,28,1,29,1,28,3,30,1,28,2,6,1,28,7,9,1,12,1,17,2,9,1,11,3,10,1,9,2,10,1,9,2,10,1,11,1,8,1,9,1,13,3,8,1,13,4,8,1,13,1,8,1,13,1,10,1,13,1,10,1,11,1,9,1,10,1,9,1,10,1,16,1,11,1,10,1,11,1,9,1,12,1,10,1,9,1,10,1,9,6,11,1,10,1,9,2,13,1,9,1,8,1,9,1,8,2,13,1,6,2,13,1,6,3,29,1,13,1,6,8,28,1,30,1,6,2,7,1,30,1,6,6,29,1,30,1,28,3,30,1,28,4,30,2,28,2,30,1,28,4,30,1,28,7,6,1,30,1,28,1,29,1,28,1,30,1,28,1,30,5,28,1,30,4,6,1,30,2,29,1,30,2,6,1,30,2,6,1,7,1,13,1,6,1,8,1,13,3,9,1,6,1,8,1,13,6,6,2,30,1,7,1,29,1,30,1,29,1,30,1,6,2,28,1,6,1,13,1,6,3,30,1,13,1,6,1,13,2,7,1,13,2,8,1,13,2,8,2,13,1,9,1,8,2,11,1,9,1,11,1,10,1,8,1,10,1,9,1,10,1,9,2,8,1,9,1,13,1,11,1,9,2,10,1,9,6,8,1,9,2,13,1,8,1,9,1,13,1,8,4,13,1,8,1,13,1,8,3,9,1,11,1,8,1,9,2,12,1,9,2,10,1,9,8,8,1,11,1,17,10,16,1,17,1,16,2,17,2,11,2,9,1,11,2,9,2,8,1,13,1,9,1,13,1,6,1,13,1,30,1,13,2,6,1,13,1,6,1,13,2,6,1,13,1,6,4,13,2,6,2,13,2,30,1,13,3,8,1,6,1,8,3,9,1,13,1,9,1,13,1,8,1,9,1,8,1,13,2,8,1,9,4,17,1,8,1,6,1,30,1,26,3,27,1,26,1,27,3,29,2,27,1,29,1,27,1,29,2,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,19,9,1,7,1,6,2,30,2,28,9,6,1,30,1,28,2,30,7,6,2,29,1,6,6,7,2,13,7,8,1,16,1,17,7,11,2,9,1,13,1,9,1,11,1,13,2,9,1,13,2,8,1,13,2,7,1,13,1,6,1,13,1,29,1,7,3,13,7,8,2,13,2,7,1,13,2,7,2,13,5,9,1,10,1,9,1,10,1,9,1,10,1,9,1,8,1,13,3,6,1,9,1,13,1,8,1,13,1,8,1,7,1,13,1,6,3,13,2,29,2,6,1,29,1,7,1,13,2,6,1,13,3,10,1,11,1,16,1,12,1,10,1,16,1,9,2,12,1,9,4,8,1,9,1,8,1,9,1,13,1,9,1,8,2,11,1,9,4,8,3,9,1,8,1,9,3,8,1,9,2,13,1,9,1,13,1,9,1,13,2,8,1,13,1,8,2,9,1,7,1,9,1,13,1,9,2,8,1,9,2,11,2,9,1,11,2,10,1,11,1,8,1,10,1,11,1,8,1,13,1,6,1,13,1,6,3,30,2,28,1,29,1,28,1,6,1,30,3,28,1,30,1,28,6,30,2,28,1,29,1,30,3,6,1,28,1,6,1,28,1,30,1,28,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,2,28,1,30,2,28,1,6,2,28,1,30,1,28,2,30,1,28,16,6,1,30,1,28,7,30,1,28,6,30,2,28,18,17,2,11,2,13,2,30,2,28,5,30,1,28,8,30,2,6,1,13,1,6,1,10,1,11,1,9,2,13,1,30,1,28,6,8,1,16,1,13,1,29,1,6,1,28,37,30,1,28,3,11,1,13,1,30,1,28,3,6,1,17,1,8,1,28,5,6,1,29,1,13,1,28,1,16,1,17,2,29,1,28,5,29,1,6,1,29,1,28,5,}, {8,1,13,1,28,33,30,1,28,19,8,2,9,1,12,1,8,1,13,1,29,1,30,2,8,1,9,2,29,1,8,1,13,1,9,1,16,3,17,1,12,1,17,1,11,2,8,1,9,1,8,1,30,1,28,3,30,3,9,1,8,1,7,2,30,1,6,1,30,1,6,1,9,1,17,3,11,1,17,1,11,1,9,1,8,1,9,1,8,1,13,1,11,2,17,2,16,1,8,1,13,2,7,1,13,2,8,1,30,1,28,38,13,1,24,1,16,1,9,2,6,1,28,2,30,1,6,1,30,1,13,1,9,1,17,5,16,1,11,1,8,2,13,4,8,1,7,2,30,1,13,4,8,2,13,1,9,1,11,1,16,1,11,1,16,1,17,2,8,1,28,17,13,1,17,25,12,1,17,1,12,2,17,15,12,1,9,1,17,2,12,1,17,1,9,2,8,1,9,1,8,1,9,2,13,2,6,5,30,1,29,3,6,1,7,1,13,1,6,1,7,1,6,1,7,1,6,2,29,1,6,1,7,1,6,1,7,1,13,1,8,2,10,2,11,2,9,1,12,2,10,1,13,1,9,3,13,1,8,1,13,1,8,5,13,1,8,1,13,1,9,4,10,1,9,2,13,1,9,1,8,1,9,2,11,1,13,1,12,1,11,1,9,1,11,3,16,1,10,1,8,1,11,1,9,1,16,1,11,1,16,1,17,18,16,1,17,5,16,1,17,9,16,1,17,14,12,1,17,1,11,1,12,1,17,1,10,1,11,3,17,2,10,3,11,2,8,1,24,1,9,5,8,7,9,1,13,1,8,2,9,2,17,1,9,1,8,1,9,1,8,1,10,1,13,3,9,1,13,1,9,1,11,2,12,1,17,25,12,1,17,2,9,1,11,1,9,1,10,1,11,1,8,1,9,2,10,1,9,1,10,2,9,5,10,1,11,1,9,1,11,1,10,1,8,1,13,1,8,2,13,1,8,1,9,1,13,1,8,3,13,1,8,2,13,2,8,1,13,3,8,3,9,2,8,1,9,7,11,2,12,1,9,1,17,1,10,1,12,1,17,1,10,1,17,8,9,2,8,1,13,7,7,1,13,7,6,1,13,12,8,3,13,4,11,1,10,2,17,10,12,1,17,2,12,2,17,4,10,1,12,1,9,2,12,1,8,1,13,1,8,2,13,2,8,2,9,1,13,1,8,1,13,3,9,1,13,1,8,2,10,1,9,4,13,3,8,1,13,2,8,1,9,1,13,1,7,1,8,1,24,1,9,2,8,1,13,3,7,1,13,1,24,1,13,2,7,1,8,2,13,1,8,3,13,1,8,1,13,1,24,1,13,1,9,1,13,1,6,1,8,1,13,1,8,2,13,1,8,1,13,6,8,1,13,2,8,1,6,2,8,1,13,1,7,1,13,2,7,1,13,2,29,1,13,1,24,1,6,1,8,1,6,1,7,1,6,1,8,1,13,5,6,1,13,1,7,1,13,2,7,1,6,1,7,2,13,1,8,1,24,1,9,1,8,2,10,2,9,3,24,1,12,2,10,1,12,1,17,1,12,1,17,6,12,2,17,1,12,1,17,3,12,1,17,5,11,1,12,1,17,4,11,1,17,4,12,1,17,4,11,1,17,3,12,1,17,2,11,2,10,1,12,1,17,1,12,1,11,2,10,1,11,2,9,4,10,1,9,2,30,4,28,1,6,1,30,1,29,1,6,1,30,3,29,1,30,1,29,1,6,2,9,1,10,1,17,2,12,1,17,18,12,4,17,1,12,1,17,6,12,2,17,7,10,1,9,1,13,1,30,5,6,1,30,1,28,1,30,2,28,1,7,1,17,1,12,1,17,12,12,1,17,3,11,1,17,3,12,1,11,1,10,2,11,1,9,1,10,1,9,1,10,1,9,1,10,1,9,1,10,1,8,1,9,1,8,2,13,1,8,1,13,1,24,1,13,1,8,5,9,2,8,1,10,1,24,1,8,1,9,2,13,1,30,1,28,1,30,1,28,1,6,2,29,1,28,2,30,4,28,2,29,1,30,1,28,1,30,3,7,1,6,1,30,3,6,1,30,3,6,2,30,3,28,1,30,1,28,2,6,1,30,4,28,1,30,3,6,1,28,1,30,5,28,1,30,2,29,1,30,2,28,5,30,6,28,4,30,3,13,1,6,1,28,2,30,1,28,4,30,7,6,1,29,1,30,3,28,2,30,1,28,6,30,1,28,1,30,1,28,4,30,2,28,3,30,1,6,2,28,1,6,1,30,1,28,2,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,6,1,30,1,6,2,30,2,28,5,30,1,28,1,30,1,28,5,30,2,28,4,30,1,28,1,30,1,28,3,30,2,28,2,6,2,30,1,28,1,30,1,28,1,30,5,28,1,6,1,28,1,30,2,28,3,30,1,28,1,30,1,6,1,30,1,13,2,6,2,30,2,28,2,30,1,28,5,30,1,6,1,30,1,6,2,30,3,28,1,30,1,28,2,30,1,28,4,30,3,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,6,1,13,2,30,1,6,2,30,3,29,1,30,4,28,1,30,2,29,1,30,3,6,1,7,1,6,1,30,1,28,1,30,2,28,7,30,1,28,4,30,1,6,1,28,2,6,1,30,1,28,8,30,2,28,5,30,1,28,2,30,1,28,4,30,2,28,1,30,2,28,8,13,2,30,3,6,1,30,1,6,5,13,2,30,2,28,2,29,1,6,1,30,1,29,1,30,3,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,3,28,2,30,2,28,1,13,1,28,10,6,1,28,1,30,7,29,1,6,1,30,1,28,3,30,1,28,3,30,1,28,1,30,2,28,3,29,1,28,3,30,1,28,1,30,1,28,3,30,1,6,1,30,2,28,6,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,4,30,2,28,1,30,2,28,1,30,3,28,2,30,1,13,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,8,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,2,30,1,28,1,30,2,6,4,30,2,28,2,30,2,28,1,30,2,28,5,30,2,13,1,6,1,30,3,28,4,30,1,28,3,30,2,28,3,30,5,28,4,30,1,28,1,9,1,11,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,11,1,8,4,9,1,11,1,12,1,10,1,12,1,24,2,8,2,24,1,12,1,10,1,12,2,17,1,11,1,17,1,12,1,9,1,10,1,11,2,10,1,13,1,9,1,8,1,13,1,8,1,13,2,9,1,8,1,9,2,11,1,9,4,8,1,10,1,11,1,17,3,11,1,17,1,12,1,17,2,9,1,11,2,17,1,9,1,11,1,24,1,8,1,30,1,27,2,30,1,29,2,30,2,29,1,28,1,30,2,28,1,30,2,28,4,30,2,28,1,10,1,12,1,11,2,8,1,9,4,8,1,9,5,8,1,13,5,7,1,6,2,13,3,6,1,13,1,9,3,10,1,11,2,9,1,11,2,10,1,9,1,8,1,17,1,9,1,10,1,11,1,9,1,11,2,10,1,9,1,10,1,9,1,11,2,9,1,11,1,9,1,10,1,9,1,8,1,9,1,13,1,8,1,13,1,7,1,6,3,7,2,6,1,13,1,6,2,30,1,29,1,13,1,30,1,6,2,13,1,6,2,30,1,29,1,6,4,30,2,29,1,30,1,6,1,30,1,28,12,30,1,28,1,30,1,28,2,30,2,6,1,30,2,28,3,30,3,28,3,30,6,29,1,28,1,29,1,30,1,29,1,30,2,6,1,30,2,6,1,30,1,6,1,13,1,6,1,7,1,13,13,7,1,6,2,30,1,6,1,28,1,6,2,28,1,6,1,29,1,6,1,30,1,28,1,30,1,6,4,13,6,7,1,13,1,8,1,13,1,8,2,9,1,13,1,8,1,12,1,8,1,9,3,13,1,9,4,13,1,9,1,8,1,9,4,17,1,9,1,8,2,9,1,8,1,9,1,8,5,13,2,8,1,13,3,8,5,9,1,8,1,9,3,11,1,9,3,8,1,9,2,8,2,9,1,8,1,9,3,11,2,17,11,11,1,17,2,11,1,12,1,11,1,12,1,9,4,8,1,13,2,8,1,7,1,6,1,7,1,6,1,13,1,7,1,6,1,7,1,13,3,6,1,13,1,6,1,7,1,6,2,7,3,6,1,8,1,7,1,6,1,29,1,13,1,8,2,9,2,8,2,9,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,24,1,17,1,8,1,6,2,26,1,29,2,27,3,29,1,27,2,29,2,26,1,28,1,27,1,29,1,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,24,13,2,6,1,30,2,28,9,30,1,28,3,30,1,28,2,30,4,6,1,30,1,7,1,29,1,7,1,29,1,7,1,6,2,7,1,6,1,7,1,13,5,7,1,9,1,17,6,16,1,17,1,11,1,9,6,13,5,8,1,13,2,6,1,7,1,13,3,6,1,7,1,13,1,7,1,13,1,7,1,13,3,7,1,8,2,13,1,6,1,13,1,30,1,6,1,13,1,6,1,13,3,8,1,13,1,9,1,11,1,10,1,9,1,13,1,8,1,9,1,13,4,8,1,13,2,9,1,13,2,7,1,13,2,6,1,13,1,6,1,13,1,6,1,7,1,6,2,13,1,6,1,29,1,13,2,30,1,9,1,13,1,11,1,16,1,9,1,11,1,9,1,10,1,9,2,10,1,11,1,17,1,10,1,9,1,16,1,9,2,8,1,9,1,8,1,9,1,8,2,9,2,8,1,9,2,11,1,9,3,8,4,13,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,9,2,8,1,11,1,8,1,9,1,11,2,16,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,10,1,11,2,9,1,29,1,13,2,29,1,30,1,29,2,30,2,29,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,8,30,1,28,3,30,2,29,1,30,1,28,3,30,3,28,1,30,1,28,2,29,1,6,2,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,5,30,1,28,2,30,1,28,1,29,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,10,30,1,28,4,30,1,28,18,17,3,13,1,30,1,6,1,30,2,28,14,30,2,13,2,9,1,8,1,11,1,8,1,17,1,13,1,28,7,8,1,11,1,29,1,6,1,30,2,28,40,17,1,8,1,29,1,28,3,9,1,17,1,8,1,6,1,28,4,29,1,6,2,30,1,11,1,17,2,30,1,28,6,13,1,30,1,28,5,}, {9,1,13,1,28,45,30,1,29,1,28,6,13,1,9,1,8,1,10,1,13,1,30,2,29,2,8,1,12,1,9,1,6,2,7,1,13,1,10,1,9,1,16,1,17,1,16,1,17,3,9,2,13,1,30,1,28,2,29,1,30,1,28,1,30,1,8,3,30,2,13,1,30,1,6,1,7,1,11,1,17,3,16,1,11,1,8,2,9,2,16,1,10,2,9,1,16,1,17,1,11,1,8,1,29,1,6,2,13,1,8,2,28,37,30,1,7,1,12,1,10,1,9,1,10,1,13,1,30,1,28,2,30,1,29,1,30,1,8,1,17,5,11,1,10,1,9,2,13,1,9,2,13,2,7,1,30,1,7,1,6,2,7,2,13,1,7,1,13,1,10,1,9,2,16,2,17,2,8,1,28,17,13,1,17,34,12,1,17,9,11,1,12,2,17,1,9,1,11,1,9,1,8,1,13,1,8,1,13,1,9,2,13,1,7,1,6,2,29,1,7,1,6,2,29,1,30,2,6,2,29,1,13,2,6,3,13,2,6,1,7,1,13,2,8,3,11,2,17,4,11,1,17,1,12,2,9,1,24,1,13,1,8,1,24,1,9,1,10,1,9,1,13,1,9,1,8,2,9,4,13,1,9,2,11,1,13,1,8,2,10,1,8,1,9,2,11,2,8,1,11,2,9,1,16,1,10,1,11,1,9,1,10,1,9,1,16,1,11,2,17,1,10,1,17,2,16,1,17,2,11,1,16,1,17,1,11,1,16,1,17,2,16,1,17,3,16,1,17,28,16,1,12,1,17,6,11,2,12,1,11,1,12,1,8,1,9,1,8,1,12,1,9,1,12,1,9,1,11,1,10,1,9,2,24,1,9,4,8,3,24,1,9,1,8,2,9,1,10,1,17,1,12,1,8,1,9,1,8,1,9,2,11,1,17,24,12,1,17,3,16,1,17,1,12,2,11,2,17,1,11,2,10,1,8,2,11,1,9,2,10,1,9,2,17,1,8,1,11,1,9,3,17,2,9,4,13,1,9,2,13,1,9,2,8,1,13,2,8,3,13,4,9,1,13,2,8,1,13,1,9,1,13,1,9,1,8,1,13,1,9,2,10,2,9,1,10,1,11,1,17,1,12,1,17,1,12,1,17,11,11,1,13,2,8,1,13,1,9,1,13,9,6,1,13,11,8,1,13,4,8,1,13,4,9,1,10,1,17,12,11,1,17,4,11,1,12,1,9,1,10,1,8,1,9,1,8,1,10,1,8,1,9,3,13,5,8,1,24,1,7,1,8,1,13,3,7,1,6,1,13,1,24,1,11,2,24,2,13,5,8,2,7,1,8,1,13,1,9,1,13,1,24,1,13,1,8,1,13,1,7,2,13,1,8,1,13,3,24,1,8,1,13,4,8,1,13,2,7,1,13,2,7,1,13,1,8,1,13,1,8,1,6,1,13,1,7,1,13,1,8,2,13,3,6,1,7,1,13,6,7,1,13,1,7,1,13,3,8,1,13,2,29,1,6,1,13,1,6,1,7,2,8,1,6,2,13,1,7,1,13,3,6,1,7,1,13,2,7,1,13,1,8,1,13,1,9,3,12,1,11,1,24,1,9,1,10,1,12,1,10,1,9,1,12,1,17,3,12,1,11,1,17,6,9,1,17,2,11,1,17,9,12,1,17,2,12,1,17,2,12,1,17,7,11,1,17,1,12,1,17,8,11,2,10,1,9,1,11,1,10,1,9,1,10,1,11,2,10,1,11,1,9,1,11,1,24,1,9,1,13,1,28,1,30,8,29,1,30,1,6,1,30,1,6,1,29,1,6,1,12,1,9,1,12,2,15,1,14,1,17,17,12,1,15,1,12,2,17,1,10,1,17,8,12,1,17,3,10,2,9,1,7,1,6,1,30,2,28,3,30,1,29,1,30,2,29,1,28,2,7,1,17,17,11,1,17,1,11,2,12,1,11,1,10,2,9,1,11,1,9,3,24,1,10,1,9,1,12,1,11,1,17,1,10,1,13,1,8,1,13,1,8,1,13,2,8,1,13,3,24,1,8,2,9,1,13,1,9,1,8,1,10,1,8,1,9,1,8,1,28,2,30,1,28,1,30,1,6,1,30,1,28,2,30,3,28,1,30,1,28,2,30,2,29,1,30,1,29,1,13,1,30,2,6,1,30,1,6,1,29,1,30,3,28,1,6,1,28,1,30,6,28,1,30,2,29,1,28,2,30,1,28,1,30,3,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,30,3,6,1,13,1,6,3,30,1,29,1,6,1,13,1,29,1,30,5,28,1,30,1,28,5,29,1,28,1,30,1,28,1,30,5,28,1,30,1,28,3,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,13,1,30,1,28,1,6,2,30,2,6,1,13,1,28,1,6,2,29,1,30,2,28,4,30,2,28,1,30,4,29,1,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,4,28,1,30,1,28,1,30,2,29,1,28,1,6,1,30,1,28,1,30,1,6,1,30,2,29,1,30,3,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,6,1,13,4,6,1,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,2,29,1,30,5,28,1,30,1,28,4,30,2,28,2,6,1,30,2,28,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,6,1,8,1,6,3,13,1,30,2,28,2,30,7,6,1,30,1,6,2,7,2,6,1,28,1,30,2,28,6,30,1,28,6,30,1,28,2,30,1,6,1,28,3,30,1,28,3,30,4,28,1,30,1,28,3,30,2,28,1,30,2,28,4,30,1,28,10,6,1,13,2,28,3,30,1,28,1,30,2,6,4,13,1,28,1,30,2,28,1,7,1,30,1,28,2,30,3,28,2,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,5,28,1,30,2,13,2,28,1,30,1,28,4,30,2,13,2,6,1,28,1,30,1,28,2,30,1,28,1,30,3,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,13,30,1,28,1,30,1,28,4,29,1,13,1,28,1,30,3,28,1,6,1,28,2,6,1,30,2,28,1,30,2,28,2,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,6,1,30,2,28,1,30,1,28,2,6,1,30,4,6,1,28,1,30,3,28,2,30,1,28,5,30,1,28,6,30,1,28,3,6,1,30,1,6,1,30,1,28,1,30,2,6,1,28,1,30,1,6,3,30,2,28,3,30,2,28,2,30,2,28,3,30,1,28,1,30,1,13,1,30,1,13,1,6,1,30,1,28,12,30,1,28,1,30,2,28,7,30,1,9,1,13,1,9,1,8,1,7,1,8,3,9,1,8,1,9,1,8,2,11,1,17,1,10,2,12,2,24,3,8,2,24,1,12,3,11,1,17,3,10,1,9,1,11,1,9,1,11,1,8,1,13,2,9,1,13,1,8,1,13,1,8,1,9,3,11,1,9,1,11,1,9,2,11,1,9,1,11,2,17,2,11,1,17,2,11,1,17,1,11,1,9,1,10,1,17,1,12,1,11,1,9,1,24,1,6,1,29,2,30,2,29,1,30,1,28,1,30,1,29,1,28,1,30,1,28,4,30,1,28,2,30,1,28,2,6,1,12,1,11,1,10,1,9,1,8,2,9,1,8,1,9,3,8,1,9,3,13,1,8,1,13,2,6,3,29,1,6,2,29,1,30,1,13,4,8,2,11,1,8,1,9,1,10,2,9,1,11,1,10,1,9,1,10,1,9,1,8,1,9,4,11,2,9,4,11,1,8,1,9,3,8,1,13,5,6,1,13,2,29,1,6,1,13,1,6,11,30,2,29,1,30,1,6,3,30,3,28,1,30,2,28,2,30,1,28,3,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,2,30,1,28,1,30,4,29,1,6,3,30,8,6,3,13,1,7,1,6,1,13,5,7,1,13,1,8,1,13,2,7,1,8,1,13,1,6,2,30,1,6,1,29,1,6,2,30,1,6,1,29,1,30,1,6,3,29,1,6,1,30,1,6,1,13,1,7,1,13,6,9,1,13,2,8,1,9,6,8,1,13,1,9,3,11,1,10,1,11,1,8,2,10,2,9,2,13,1,8,1,9,2,11,1,9,2,8,1,13,1,9,1,8,2,9,1,13,3,9,1,8,2,13,1,9,2,8,1,9,4,8,1,17,1,10,1,9,3,8,1,9,4,8,1,9,4,8,1,11,1,17,11,16,1,17,1,11,1,17,2,11,2,9,2,11,1,8,1,13,7,6,1,13,1,7,1,13,3,6,5,13,1,29,1,6,1,7,1,6,3,13,1,29,1,13,1,8,1,13,2,9,2,8,1,9,1,13,1,8,1,7,1,8,1,13,2,8,3,9,2,8,1,17,1,24,1,6,1,7,1,6,1,26,1,29,1,26,1,27,2,29,1,26,1,27,3,29,3,28,2,30,1,28,3,30,1,29,1,28,3,30,2,28,1,30,2,28,4,29,1,28,16,13,2,6,1,29,1,28,1,30,2,28,6,30,1,28,3,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,6,1,28,1,6,4,13,1,6,2,7,1,13,2,7,1,13,5,17,8,11,1,10,1,11,1,9,3,8,1,13,1,8,1,13,3,29,1,13,1,6,1,7,1,6,1,13,2,7,2,6,1,13,1,6,1,13,7,8,1,13,1,6,1,13,1,9,1,8,1,6,1,13,5,9,1,6,1,9,2,11,1,10,1,9,4,8,1,9,1,8,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,7,2,13,1,6,1,7,1,6,5,13,2,8,1,9,2,10,2,8,1,9,2,8,1,9,4,11,1,9,1,11,1,9,1,16,1,17,1,10,1,9,1,10,1,13,1,9,1,11,1,16,1,13,1,9,2,8,1,9,5,10,1,9,3,13,1,9,1,13,1,10,1,8,1,11,2,9,3,11,2,9,5,13,1,9,2,8,1,6,1,30,1,29,1,6,1,30,1,6,4,29,1,30,1,28,1,29,1,30,9,28,10,30,3,28,1,30,2,28,3,30,1,29,1,28,1,30,2,29,1,7,1,29,1,30,1,6,1,28,1,6,1,30,1,13,3,29,1,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,5,28,1,6,1,30,2,28,3,30,1,28,1,30,2,28,3,30,2,28,1,30,1,28,18,17,2,9,1,8,1,13,1,6,1,28,1,30,1,28,15,29,1,28,2,8,1,6,1,13,1,9,2,8,1,28,7,8,1,13,2,30,1,6,1,28,34,30,1,28,6,16,1,8,1,30,1,28,3,13,1,17,1,13,1,30,1,28,4,29,1,6,2,13,1,11,1,17,2,28,6,6,1,28,7,}, {9,1,13,1,28,48,30,1,28,1,30,1,28,2,13,1,10,1,9,1,11,1,8,1,6,1,29,1,30,1,28,1,6,1,17,1,24,1,6,1,28,1,6,1,8,1,9,1,17,3,16,2,17,1,11,1,17,1,9,1,13,1,30,1,6,1,30,1,28,3,30,1,8,1,10,1,13,1,8,1,29,1,28,1,13,1,29,1,8,1,17,4,16,1,11,1,8,1,13,2,9,1,13,1,11,1,12,1,17,3,10,1,7,1,13,1,6,1,13,1,8,1,9,1,13,1,28,38,13,1,24,1,9,3,6,1,30,1,28,3,29,1,13,1,8,1,17,5,11,1,9,1,8,1,9,1,8,3,13,1,6,1,30,1,6,1,7,2,8,1,7,1,13,1,6,1,13,1,8,1,11,4,16,1,17,2,8,1,28,17,6,1,11,1,17,35,12,1,17,9,10,1,12,2,10,1,9,2,13,1,9,2,13,2,8,1,13,1,6,2,29,1,6,3,29,1,6,2,13,2,8,4,13,4,7,1,9,2,11,1,12,1,11,1,17,1,11,1,12,2,9,2,12,1,17,1,12,1,9,1,11,1,10,1,11,1,9,1,8,1,9,1,10,1,9,3,13,2,9,1,8,1,9,1,8,1,12,1,10,1,9,2,8,2,9,1,8,1,9,3,11,1,9,2,12,1,8,1,16,1,9,2,11,2,9,1,17,1,11,1,9,1,11,1,10,1,11,2,17,1,12,1,16,1,10,1,11,1,17,2,11,3,16,1,17,1,16,2,11,2,17,1,11,1,17,15,16,1,17,13,12,1,17,2,12,1,17,3,11,3,12,2,9,1,12,1,11,1,12,1,11,1,10,3,11,1,12,1,9,1,8,1,9,2,8,1,24,1,13,1,8,3,9,1,13,1,9,1,10,1,8,1,17,1,12,2,17,24,12,1,17,5,12,2,16,1,17,1,9,1,17,1,10,1,11,1,10,1,12,1,11,1,9,3,11,1,9,4,8,1,10,1,8,1,9,4,17,1,12,2,9,3,13,1,8,1,13,1,9,1,13,1,9,1,7,1,9,1,13,1,9,1,13,4,8,1,13,1,8,2,13,2,8,1,13,1,8,1,9,1,8,1,13,1,8,2,9,2,12,1,8,1,9,1,11,1,9,1,11,1,17,12,9,2,8,1,13,2,9,1,13,18,7,1,13,1,8,1,6,1,13,6,8,1,9,2,17,3,12,1,17,9,12,2,17,3,8,1,12,1,9,2,10,1,9,1,11,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,13,1,8,2,13,2,8,1,13,5,7,1,13,1,8,1,13,1,7,2,13,1,8,1,13,2,8,1,13,3,8,2,13,3,24,1,13,2,10,1,13,1,24,1,8,1,13,5,8,1,13,3,7,1,6,1,7,1,13,1,8,1,13,2,8,1,13,2,7,2,13,10,8,2,13,1,6,1,13,1,6,1,13,2,8,1,13,2,7,1,8,2,7,1,13,1,7,1,13,2,7,1,6,1,7,1,6,1,13,2,8,1,13,3,7,1,13,1,7,1,13,1,7,1,6,1,13,2,9,1,10,1,9,1,12,2,17,1,12,1,10,1,17,1,11,2,12,1,17,2,12,1,17,2,12,1,17,5,12,1,17,10,12,1,17,4,12,1,17,23,10,2,11,1,12,1,9,1,10,1,8,1,12,1,9,1,24,1,11,1,13,1,9,3,8,1,30,1,28,1,30,6,6,1,29,1,30,1,6,1,29,1,7,1,30,1,7,1,10,1,9,1,15,1,13,1,24,1,15,1,14,3,17,1,14,1,17,12,12,4,9,1,13,1,11,1,17,7,12,2,10,1,13,1,7,1,29,1,6,1,30,1,28,3,30,2,28,1,29,1,6,3,30,1,28,1,30,1,13,1,17,5,11,1,17,7,10,1,17,8,11,1,12,2,9,1,10,1,8,1,24,1,9,1,11,1,10,1,9,2,10,1,9,1,13,2,9,1,8,1,9,1,13,1,8,1,7,1,8,5,9,1,8,2,9,1,8,1,13,1,9,1,11,1,9,1,28,1,30,3,6,1,30,1,6,1,28,2,30,2,28,1,6,1,28,2,30,2,28,1,30,1,28,2,9,1,6,1,30,3,6,1,30,5,28,1,30,1,28,3,30,1,28,2,6,1,30,1,28,3,30,1,28,2,30,1,28,2,30,4,6,1,30,1,28,2,30,1,28,1,29,1,30,1,28,1,30,2,6,1,30,1,28,5,30,2,28,2,30,2,6,2,28,1,6,1,28,1,30,1,28,2,30,2,28,1,6,1,30,4,28,1,30,1,6,2,28,2,30,1,28,1,6,2,28,1,30,1,28,2,30,1,28,1,6,1,28,2,30,3,28,1,30,3,29,1,30,1,6,1,28,1,6,1,13,1,6,1,30,3,6,1,30,3,6,1,30,1,28,1,30,1,28,1,30,3,6,1,28,1,6,1,28,1,6,1,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,29,1,28,1,30,1,6,1,30,6,29,1,28,2,30,1,28,1,30,2,6,1,30,2,28,1,30,1,28,1,6,1,28,1,30,1,28,2,6,1,13,1,7,1,13,1,6,2,28,2,30,1,28,1,30,2,28,3,30,3,28,1,30,3,28,1,30,3,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,1,6,1,28,2,30,2,28,1,30,4,28,1,6,4,30,1,6,1,30,2,28,1,6,1,28,2,30,2,28,1,30,1,28,1,6,1,30,2,6,2,30,1,6,1,30,6,28,10,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,5,30,1,6,1,13,1,30,1,29,1,28,6,30,1,29,1,6,3,28,3,13,1,29,1,28,2,30,2,28,1,30,4,29,2,28,3,30,1,28,1,30,5,6,2,28,1,30,1,13,6,28,1,30,2,6,1,7,1,13,1,6,2,30,1,28,2,30,2,28,3,30,2,28,3,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,5,30,1,28,4,30,1,28,2,30,2,28,1,30,3,28,2,30,5,7,1,30,3,28,3,30,1,28,5,30,1,28,2,30,1,28,1,30,2,28,2,30,2,28,3,30,3,28,4,30,4,28,2,30,4,28,1,30,2,28,1,30,1,28,1,30,1,28,10,29,1,28,1,13,1,30,4,28,2,6,2,7,1,30,1,28,2,30,1,28,1,30,3,28,5,30,5,28,1,30,1,7,1,29,1,28,12,30,1,28,1,30,1,28,3,30,1,28,4,30,1,13,1,9,1,13,3,9,1,13,3,9,1,13,1,9,1,8,1,10,2,9,1,12,3,24,1,8,1,24,1,8,3,17,1,24,1,10,1,17,2,10,1,17,1,11,1,8,1,10,2,9,2,11,1,13,1,9,1,13,2,7,1,13,1,9,1,13,1,9,1,11,1,9,1,13,1,8,1,10,1,13,2,10,1,17,1,16,2,17,1,11,1,17,2,11,1,17,1,9,2,11,2,17,2,10,1,13,1,26,1,29,2,30,2,29,1,30,2,29,1,28,2,30,1,28,2,30,1,28,1,29,1,30,1,28,1,30,3,13,1,11,1,9,2,13,2,8,2,13,1,8,3,7,1,8,1,9,1,13,5,29,2,6,1,30,1,29,2,6,1,7,1,6,1,7,1,13,1,8,1,13,1,8,3,10,1,9,3,11,1,9,3,11,1,12,1,9,1,11,1,17,1,9,1,12,1,9,2,10,3,9,2,10,1,9,3,8,1,9,1,13,2,6,1,13,1,30,1,13,1,6,2,13,1,6,3,29,1,30,1,29,1,6,3,7,1,30,1,6,1,30,2,7,1,30,2,28,1,6,1,30,3,28,6,30,1,28,8,30,2,28,1,30,1,28,3,30,3,28,1,30,2,28,1,30,1,28,1,30,6,28,2,6,1,30,1,28,2,30,2,6,1,28,1,6,1,30,1,6,1,30,1,6,1,13,1,6,2,13,3,7,1,13,1,8,1,13,1,7,1,13,1,6,1,13,2,7,1,6,1,30,1,29,1,6,1,29,1,7,1,30,1,6,1,29,1,7,1,30,1,7,1,6,1,30,1,29,1,6,5,13,3,8,1,13,1,9,1,7,1,9,1,8,1,13,1,8,2,9,3,8,1,9,2,13,2,9,6,11,1,9,2,8,2,9,1,8,1,13,2,9,1,8,1,9,1,8,2,9,1,13,2,8,1,13,4,8,1,13,1,9,3,13,1,9,2,8,1,10,1,17,1,16,1,11,2,9,1,8,2,9,5,8,1,9,3,10,2,16,1,17,8,11,1,16,1,17,1,12,2,11,1,10,1,9,2,11,1,9,3,13,4,6,3,13,2,8,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,2,13,2,6,1,13,1,6,1,13,1,8,2,13,1,8,1,11,1,9,2,13,1,8,1,9,1,8,1,29,1,13,2,9,2,13,2,10,1,12,1,17,1,7,1,13,1,29,1,25,2,26,1,27,1,29,1,27,2,25,2,29,1,26,1,30,1,29,1,30,1,29,1,27,1,30,4,28,2,30,1,28,1,30,6,28,3,30,1,28,17,29,1,7,1,13,1,29,2,30,1,28,6,30,2,28,5,30,5,7,1,28,1,7,1,30,1,13,1,7,1,13,1,30,1,6,2,13,1,6,1,8,1,13,1,8,1,7,1,13,1,6,1,11,1,17,8,11,1,9,2,8,1,9,3,8,1,13,2,6,1,13,6,6,1,13,1,6,2,13,9,8,2,7,1,13,4,7,1,8,1,13,1,7,1,13,1,10,1,13,1,9,1,13,1,11,2,9,2,8,1,9,1,13,1,11,1,6,1,13,3,6,2,7,1,13,2,6,1,13,1,6,1,13,1,7,1,13,1,30,1,13,1,6,3,13,1,7,1,6,2,7,1,13,1,7,1,30,1,13,2,8,1,9,1,16,1,9,1,17,1,16,1,11,4,9,1,12,1,8,1,9,1,11,2,16,1,10,1,9,1,10,1,9,4,11,1,9,1,10,1,11,1,9,2,8,1,9,1,11,1,8,1,9,4,11,1,16,1,10,1,11,1,9,3,17,2,10,1,12,1,9,3,13,4,29,1,30,1,6,1,13,1,30,2,13,1,6,1,13,3,6,1,30,4,28,1,29,1,30,2,28,1,6,1,30,1,28,2,29,1,30,1,28,6,30,4,28,1,30,1,28,3,30,2,28,1,30,1,28,2,30,1,6,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,29,1,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,2,30,2,28,1,30,2,6,1,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,2,30,3,28,15,17,2,9,2,7,1,6,1,28,1,30,1,28,15,6,1,7,1,6,1,13,2,9,1,8,1,9,1,10,1,28,7,8,1,9,1,6,1,28,35,30,1,28,7,8,1,13,1,28,4,10,1,17,1,13,1,28,5,30,2,6,1,13,1,12,2,17,1,28,6,30,1,6,1,28,6,}, {12,1,13,1,28,34,6,1,28,17,30,1,7,1,17,2,9,1,8,1,7,1,6,1,28,1,30,1,6,1,12,1,17,1,6,1,7,1,13,1,6,1,10,2,16,2,17,3,16,2,9,2,6,1,30,2,28,4,9,1,17,1,9,1,7,1,13,1,28,1,6,2,13,1,12,1,17,2,16,2,10,1,8,1,9,1,8,3,9,2,12,1,17,1,16,1,9,1,29,1,13,1,6,1,8,1,29,1,7,1,9,1,28,38,29,1,8,1,11,1,10,1,8,1,6,1,28,5,7,1,13,1,17,5,8,1,10,2,9,2,8,2,16,1,6,1,13,1,6,1,29,1,13,2,7,1,8,1,13,1,7,1,13,1,9,2,17,1,11,1,16,2,17,1,9,1,28,17,30,1,9,1,17,1,16,1,17,31,12,1,17,1,11,1,17,2,9,1,12,1,17,2,11,1,9,1,10,1,11,2,12,1,11,1,8,1,9,1,8,1,9,1,8,2,13,2,7,1,6,1,29,1,13,1,6,1,29,1,6,2,7,1,13,2,8,1,24,1,8,1,11,1,9,1,24,1,8,2,13,1,8,1,10,1,11,1,10,1,17,1,12,1,17,1,12,1,17,1,12,2,17,1,12,2,10,1,17,1,9,1,12,1,9,1,17,1,12,2,11,1,12,1,11,1,9,1,8,1,9,1,8,4,9,1,11,1,8,3,11,1,9,2,8,1,9,5,11,1,9,1,11,1,9,1,11,5,17,1,11,1,16,2,11,3,16,1,11,1,17,1,11,1,9,2,17,2,9,1,16,2,10,1,11,5,17,1,11,1,17,22,12,1,17,6,12,1,17,3,9,1,11,1,17,1,9,1,11,4,9,1,10,3,17,2,12,1,11,2,9,5,10,1,24,1,9,2,10,1,9,2,17,36,10,1,11,4,9,1,10,1,11,1,9,1,17,1,9,1,10,1,9,2,11,1,8,1,9,1,8,1,9,1,11,1,9,1,11,1,8,1,9,1,12,1,11,1,17,1,9,1,8,1,11,1,9,3,8,1,13,1,9,1,8,1,9,2,7,1,13,3,8,1,13,2,8,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,9,3,13,2,9,1,11,1,12,3,11,1,17,1,12,2,17,10,10,1,13,1,8,1,9,2,8,1,13,3,7,1,13,7,7,2,13,1,6,1,13,2,8,1,13,11,17,16,11,1,17,2,12,1,11,1,9,1,11,1,10,1,9,1,8,2,9,2,8,1,9,1,8,1,11,1,8,1,9,2,13,1,29,1,9,1,13,1,7,1,6,1,13,4,7,1,24,1,13,2,10,1,6,1,13,1,7,1,13,2,7,1,13,2,7,2,6,1,13,1,7,1,13,3,7,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,7,1,8,1,7,1,13,2,8,1,13,1,8,1,6,1,13,3,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,2,7,1,13,1,8,1,13,1,6,1,8,2,13,2,6,1,7,1,9,1,7,1,13,1,8,1,13,1,7,1,13,8,7,1,13,1,8,1,13,4,8,1,7,3,8,2,9,2,8,1,9,1,12,2,17,13,12,1,17,5,12,1,17,1,11,1,17,12,12,1,17,9,12,1,17,10,12,1,17,2,12,1,17,1,10,1,17,1,9,1,17,1,12,1,9,4,8,2,24,1,9,2,10,1,13,1,30,4,29,1,30,4,6,4,30,2,10,2,12,1,24,1,6,1,13,1,10,1,15,1,14,1,17,1,14,1,17,1,14,1,17,2,12,1,17,8,10,1,17,1,24,2,8,1,13,1,17,7,10,1,24,2,13,1,6,2,30,1,28,2,30,1,28,2,30,2,6,2,30,4,28,1,13,1,17,14,12,1,17,4,12,1,17,1,12,3,17,2,11,1,12,1,10,1,9,1,17,1,11,2,9,1,11,1,9,1,8,2,9,1,8,1,24,1,13,1,8,2,24,1,8,1,13,1,24,1,9,1,13,1,9,1,24,1,8,1,13,1,9,3,11,1,28,1,30,2,28,2,6,1,30,1,28,1,30,1,28,3,30,2,28,3,30,1,28,2,30,1,6,1,29,1,6,1,30,3,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,29,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,2,30,1,29,1,28,2,30,1,28,2,30,4,29,1,28,1,29,1,28,1,30,1,28,3,30,4,28,2,30,1,6,2,7,1,6,1,30,4,28,1,30,1,28,1,6,2,30,4,6,1,30,1,28,2,6,1,28,2,30,3,6,1,30,1,6,2,28,1,30,4,28,1,30,2,28,1,30,2,29,1,28,1,6,1,30,1,28,1,13,1,9,1,6,1,30,1,6,2,29,1,6,1,30,3,28,1,30,1,6,1,30,1,6,1,28,1,30,3,28,1,6,1,30,1,6,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,1,6,1,28,2,30,1,28,1,30,3,28,2,6,1,30,1,6,2,30,3,28,1,6,1,28,1,30,3,28,1,30,3,29,1,30,1,29,1,30,3,28,2,6,1,13,3,28,2,30,1,28,2,30,3,28,1,29,1,28,1,30,2,28,1,29,1,6,1,30,3,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,2,30,2,6,1,30,1,28,1,6,3,30,4,7,2,29,1,6,1,30,2,6,2,30,1,6,1,30,1,6,1,30,1,28,1,30,5,6,1,30,1,6,2,30,1,28,1,30,1,28,6,30,1,28,5,30,2,28,3,30,1,6,1,28,3,30,1,28,4,30,1,28,4,30,1,28,4,30,1,28,1,30,2,28,2,30,2,28,5,30,1,28,2,30,1,28,1,13,1,7,1,30,1,28,9,30,5,28,1,9,1,28,1,30,3,28,1,30,1,28,1,29,1,28,2,30,1,28,1,30,4,28,4,30,3,28,1,6,1,30,1,13,2,30,1,6,1,28,1,13,1,9,1,13,1,30,5,28,6,6,1,28,1,6,1,28,5,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,5,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,6,2,28,7,30,1,28,1,30,3,28,10,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,3,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,2,30,1,28,3,30,1,28,3,30,2,6,1,30,2,28,2,29,1,30,1,6,3,13,1,30,1,28,3,30,1,28,5,30,1,28,6,30,1,28,1,30,1,13,2,28,10,30,3,28,1,30,3,28,6,30,1,13,1,9,2,13,1,9,1,13,3,8,1,13,1,8,1,9,2,24,1,9,1,12,1,10,2,12,1,24,1,12,1,24,1,8,2,10,2,24,1,9,1,12,2,17,1,11,2,9,1,17,1,9,1,11,1,9,1,8,1,9,1,8,1,13,1,8,1,13,1,9,2,10,2,9,1,11,2,9,1,13,1,9,1,10,2,11,1,17,1,10,1,11,1,17,3,11,1,10,1,9,2,11,1,10,1,9,1,10,1,9,1,13,1,6,1,30,1,27,1,30,1,29,2,28,1,30,1,29,1,28,4,30,2,28,4,30,1,28,2,13,1,9,2,8,1,9,1,8,2,13,1,8,1,13,4,9,1,8,1,13,3,6,3,30,4,6,1,28,1,30,1,6,2,13,1,6,1,13,3,9,3,11,1,9,1,8,1,9,2,11,1,9,1,10,1,16,1,12,2,9,3,17,1,9,1,11,2,9,1,11,1,12,1,9,1,11,1,8,1,10,1,13,1,9,1,13,1,30,1,13,1,6,1,13,2,6,8,30,1,7,1,6,1,30,1,6,1,30,1,28,1,6,1,30,6,28,8,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,2,30,2,6,1,29,1,30,4,28,1,30,1,6,1,29,1,30,1,6,1,30,4,6,2,30,1,13,1,6,1,13,1,6,3,8,1,13,2,6,1,13,3,7,1,6,1,7,1,30,1,6,3,29,2,30,2,6,2,29,1,30,1,6,3,30,1,6,4,7,1,8,1,13,3,8,2,13,4,9,2,8,1,13,1,9,1,8,1,11,2,8,1,9,1,11,1,10,2,11,1,17,1,9,2,8,1,10,1,13,1,8,2,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,2,13,2,9,1,13,1,9,5,11,1,16,1,11,1,8,1,9,6,8,4,9,3,8,1,11,1,13,1,9,1,17,9,11,1,17,1,12,1,17,1,11,1,16,1,17,1,9,1,11,1,8,1,9,3,13,4,6,1,13,7,7,1,13,4,6,2,13,1,7,2,6,1,13,1,6,1,8,1,13,2,8,2,9,1,8,1,13,6,8,3,9,3,11,1,17,2,6,1,29,1,8,1,25,1,27,1,29,1,27,3,30,1,27,2,26,1,29,2,27,1,28,1,29,1,30,1,27,1,28,2,29,1,28,1,30,1,28,1,30,1,28,1,30,4,28,3,30,1,28,17,30,1,13,1,6,2,29,1,28,2,30,1,28,1,30,2,28,4,30,1,28,2,30,2,6,1,28,1,30,1,29,1,30,2,29,1,7,1,6,3,13,1,6,1,7,1,13,6,29,1,9,1,17,9,11,1,9,1,8,1,9,2,8,1,13,7,8,1,13,1,7,2,8,1,6,1,13,1,6,3,13,1,7,1,13,1,8,1,7,1,13,1,8,1,6,1,13,1,6,1,8,1,6,1,8,1,13,3,6,1,8,1,13,4,9,6,13,1,8,3,13,1,7,2,6,1,13,2,7,1,13,1,29,1,13,1,6,1,7,2,13,2,8,1,6,2,13,2,6,1,29,1,30,1,6,2,13,1,30,1,7,1,6,1,13,4,9,1,8,1,9,1,11,2,10,1,11,1,9,1,10,1,9,2,11,6,9,2,11,1,9,1,12,1,8,1,13,1,9,1,11,1,9,1,10,1,9,1,11,1,9,1,8,1,17,1,9,1,10,1,11,1,9,2,11,2,13,1,9,1,13,1,8,1,7,1,13,2,6,1,13,3,6,2,30,3,6,1,30,1,13,1,6,1,13,2,6,2,30,1,29,1,6,1,28,1,30,3,28,1,30,2,28,3,6,1,28,6,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,3,30,1,28,3,30,3,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,30,1,29,1,28,3,30,2,28,3,30,1,28,1,7,1,28,15,17,2,9,2,7,1,6,2,28,15,30,1,29,1,13,1,30,1,13,3,9,1,13,2,28,7,9,1,13,1,6,2,28,42,9,1,24,1,28,4,8,1,17,1,8,1,28,5,30,2,13,1,8,1,17,3,28,6,6,1,30,1,28,6,}, {9,1,8,1,28,53,6,1,9,1,17,1,12,1,24,1,13,1,6,1,28,2,6,1,12,1,11,1,30,2,7,1,8,1,9,1,10,1,16,1,17,2,12,1,17,2,16,1,13,1,8,1,30,1,29,1,30,1,28,2,7,1,6,1,9,1,10,1,9,1,6,5,13,1,11,2,17,4,13,2,9,1,8,1,24,1,9,2,12,1,17,1,16,1,10,1,13,2,6,3,13,1,9,1,28,38,7,1,24,1,9,1,8,1,9,1,13,1,28,4,6,1,13,1,8,1,17,5,9,1,16,1,9,1,10,2,9,1,8,1,9,1,7,1,13,1,29,1,6,1,13,4,6,1,7,1,13,1,8,1,11,2,12,1,9,1,16,1,17,1,8,1,28,18,9,1,17,34,12,1,11,1,17,1,10,1,17,1,12,2,11,1,17,1,12,1,9,1,11,1,10,1,9,1,11,1,8,3,9,1,13,1,8,1,13,4,6,1,30,1,13,1,6,1,7,1,13,1,6,1,13,1,8,1,9,1,8,2,9,1,8,1,9,1,24,1,10,2,12,4,17,1,12,3,17,1,12,1,17,1,12,3,17,1,10,3,12,1,17,1,10,1,17,1,11,1,17,2,9,2,8,1,9,1,8,2,13,1,9,1,17,1,11,1,9,2,13,1,10,1,8,1,13,1,9,1,10,1,9,2,11,1,9,2,11,1,9,1,10,1,16,1,11,2,16,2,12,1,17,1,11,3,12,2,11,1,9,1,11,1,12,1,11,3,10,1,11,1,16,1,11,1,9,1,10,1,9,1,11,2,16,1,11,1,17,36,12,1,11,2,9,2,11,2,9,1,12,2,9,1,17,1,12,1,9,1,12,1,17,41,12,1,17,3,9,1,17,2,11,1,9,1,12,1,9,2,11,1,9,2,17,1,10,1,12,1,11,1,10,1,11,1,9,4,10,1,8,2,10,1,13,1,17,1,11,1,10,1,8,2,12,1,13,1,11,1,8,1,9,1,8,1,13,6,9,1,13,3,8,1,13,3,8,1,13,2,8,4,9,5,8,1,9,1,12,1,11,1,9,1,11,1,17,13,8,1,9,1,13,10,7,1,13,9,6,1,13,5,7,1,13,4,10,1,17,14,12,1,11,2,17,3,9,3,8,1,10,1,9,2,8,3,24,1,13,2,9,2,8,1,13,1,8,1,13,3,9,1,13,3,7,2,13,1,9,1,24,1,13,3,7,1,8,1,13,3,7,2,13,2,7,1,13,2,7,1,6,1,13,1,8,2,6,1,13,6,7,1,13,1,6,1,7,1,13,3,7,3,6,2,7,1,8,1,6,1,8,1,6,1,13,1,7,1,6,1,13,3,7,1,13,4,8,1,7,1,13,6,6,1,13,2,6,1,7,1,9,1,13,2,8,2,13,2,8,1,13,1,8,3,7,1,13,1,7,1,8,1,13,2,24,1,9,1,10,1,12,1,11,2,17,1,12,1,17,20,12,1,17,1,11,1,17,36,10,1,17,2,10,2,17,1,9,3,10,1,24,1,8,1,9,5,6,1,29,1,30,1,28,1,30,3,29,1,30,3,7,1,6,2,30,1,24,1,10,2,14,1,6,3,8,1,15,1,14,1,15,2,17,12,12,1,17,1,6,1,10,1,8,1,24,1,17,6,9,1,12,1,7,1,24,1,13,1,6,1,30,5,28,2,30,2,6,2,30,1,28,2,30,1,28,1,9,1,17,18,12,1,17,1,12,1,10,1,17,1,10,1,9,1,12,1,9,1,12,1,10,1,12,2,9,1,10,2,11,1,9,1,13,1,24,2,8,2,13,3,24,1,13,1,8,1,13,1,8,1,13,2,9,1,8,1,9,1,8,2,9,2,28,5,6,2,28,1,29,1,28,2,30,1,28,4,30,3,28,2,6,1,13,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,4,28,8,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,3,6,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,6,1,28,1,6,1,30,2,7,1,30,7,28,2,30,3,28,1,30,3,28,1,6,1,28,1,30,2,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,28,1,6,2,30,2,6,1,30,1,13,1,6,1,30,2,28,1,30,5,28,1,30,2,28,1,30,2,28,4,30,1,29,1,30,3,6,1,30,1,28,2,30,3,28,3,30,1,28,1,30,2,28,5,30,1,6,1,30,1,28,2,30,3,6,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,7,1,13,2,30,3,28,3,30,1,28,2,29,1,30,1,28,2,30,1,29,1,30,3,28,3,30,1,28,3,30,1,28,5,30,1,28,2,30,1,28,1,6,1,30,2,29,2,30,1,6,2,30,1,29,1,13,1,6,1,30,5,6,1,30,2,28,1,30,3,6,1,30,1,6,1,30,1,6,1,30,1,6,3,30,1,28,1,30,2,28,2,30,1,28,13,30,1,29,1,28,2,30,1,28,11,29,1,28,5,30,3,28,2,30,2,7,1,13,1,6,1,30,2,9,1,13,1,28,1,9,1,13,1,6,1,30,1,28,8,30,1,28,1,30,3,28,1,6,2,28,1,30,3,6,1,30,2,28,3,30,2,28,3,30,4,28,1,30,1,28,2,30,1,28,1,13,2,28,1,30,1,28,3,30,2,28,1,30,1,28,9,29,1,30,1,28,1,30,1,28,5,30,2,28,1,30,3,28,3,30,1,28,1,30,1,28,10,30,1,28,6,30,1,6,1,30,1,28,3,30,1,13,1,30,1,28,1,30,5,28,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,3,6,1,28,2,30,3,28,4,30,1,6,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,8,1,6,1,30,2,28,3,30,1,28,4,30,2,28,2,30,3,28,1,29,1,28,1,13,2,28,5,30,1,28,2,6,1,30,1,28,13,7,1,9,1,8,1,9,1,13,2,7,1,13,1,8,1,9,3,8,1,12,4,24,1,10,2,24,2,8,1,6,1,24,1,12,1,24,1,8,1,9,3,11,2,6,1,10,1,9,1,8,1,9,1,8,1,13,1,8,1,13,3,9,5,11,1,17,1,9,1,17,1,9,1,17,1,9,2,11,1,10,2,11,1,17,4,9,2,10,1,11,1,9,1,17,1,9,1,24,1,7,1,30,1,29,2,28,1,6,1,29,1,28,1,29,1,30,3,28,4,30,3,28,2,30,2,9,1,13,1,9,1,13,1,8,1,13,8,6,2,8,1,6,2,7,1,6,2,30,3,6,1,30,5,13,1,6,1,7,1,29,1,13,1,8,2,9,4,8,1,12,1,11,1,10,1,11,1,8,1,10,1,17,1,9,1,12,1,10,1,11,2,8,1,11,1,9,2,12,1,11,1,9,2,8,2,9,1,13,1,8,1,13,1,6,1,13,1,7,1,13,1,6,4,30,1,6,1,30,1,29,1,7,1,30,5,6,1,30,1,28,1,30,2,28,6,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,2,29,1,28,2,30,2,28,3,30,1,28,1,30,3,28,2,30,2,28,1,30,1,28,1,30,1,28,2,30,1,29,1,28,1,6,2,29,1,6,2,30,1,6,1,30,1,6,1,13,1,6,1,8,1,7,1,6,1,13,2,8,1,13,3,6,1,13,1,6,1,13,2,30,2,7,1,29,1,6,4,13,1,28,1,6,1,29,1,6,1,29,1,6,1,7,1,6,3,29,1,6,1,13,2,7,1,8,1,13,4,8,1,13,1,8,2,9,3,8,2,9,1,8,2,9,1,10,1,9,1,11,1,9,1,11,1,12,1,8,1,11,1,9,1,13,1,16,1,10,1,9,1,8,1,9,4,8,1,10,1,9,2,13,2,8,1,9,1,8,1,13,1,8,1,9,3,8,1,9,2,11,2,10,1,11,1,9,1,11,1,9,1,8,1,9,2,8,1,9,1,8,1,13,1,8,1,13,1,9,4,16,1,9,1,16,1,17,10,16,1,17,1,11,1,16,1,10,1,11,1,10,1,9,2,13,1,8,1,9,1,13,3,6,4,13,1,6,1,13,5,6,1,13,1,6,1,9,1,13,3,7,1,13,3,11,1,8,1,9,1,13,2,9,1,8,2,13,1,9,1,13,1,9,1,8,3,13,1,9,2,17,1,8,1,6,1,29,1,13,1,8,1,25,1,27,1,25,1,27,4,26,1,27,2,30,1,27,1,29,2,28,1,30,1,29,2,30,1,28,1,30,1,29,1,28,1,30,3,28,4,30,3,6,1,28,16,6,3,29,2,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,6,29,1,6,9,7,1,8,1,13,2,6,1,13,3,16,1,17,9,11,1,9,2,8,1,9,1,8,1,9,1,13,5,6,1,13,3,7,1,6,1,13,1,7,1,13,4,6,1,13,4,8,1,13,3,8,1,13,1,7,2,13,3,8,1,13,1,7,1,6,1,13,1,9,1,11,2,8,1,9,2,8,3,7,1,13,5,6,1,13,1,30,1,13,1,30,1,7,1,13,2,8,1,13,1,6,1,13,3,7,1,13,2,29,1,13,1,6,2,13,1,6,1,7,1,13,7,9,3,11,2,16,1,11,1,17,2,11,1,16,1,10,1,9,1,11,1,12,1,9,3,10,1,17,1,12,1,16,1,9,4,10,1,9,1,10,1,16,1,9,2,11,1,9,1,11,2,13,2,9,1,6,1,13,1,6,1,13,3,6,1,13,1,7,1,6,1,29,1,6,6,7,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,29,1,28,2,30,2,28,1,30,1,28,5,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,3,30,1,6,1,28,1,30,5,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,7,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,3,30,1,28,2,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,14,6,1,17,2,11,1,13,1,8,1,28,1,30,1,28,15,30,1,13,2,7,2,9,2,8,1,9,1,29,1,28,7,8,1,13,1,8,1,29,1,28,33,6,1,28,8,9,1,13,1,28,4,10,1,17,1,13,1,28,5,30,3,13,1,16,1,17,1,11,1,28,6,8,1,30,1,28,6,}, {24,1,11,1,28,44,29,1,28,5,30,1,28,2,6,1,17,1,16,1,11,1,13,2,6,2,28,1,7,1,9,2,7,1,6,1,13,1,9,2,16,2,17,3,16,1,17,1,16,1,13,2,8,1,30,4,28,1,30,1,13,1,8,1,24,1,13,1,30,1,28,1,7,1,30,1,6,1,9,1,17,1,11,1,17,2,10,1,13,1,8,1,9,2,13,1,9,3,16,1,17,1,8,2,13,1,6,1,13,4,28,39,13,2,12,1,24,1,13,1,30,1,28,3,29,2,6,1,16,1,17,4,16,1,9,1,11,1,9,3,8,1,13,1,8,1,29,1,28,1,6,1,13,1,7,1,8,1,13,2,8,1,7,1,13,2,16,1,10,1,9,1,8,1,17,1,16,1,28,18,13,1,17,36,10,1,11,1,9,3,10,3,11,1,9,1,11,2,9,1,8,1,13,1,8,1,13,1,9,1,13,5,6,3,30,1,7,1,6,1,7,1,8,1,10,1,9,4,11,1,17,2,12,1,17,12,12,3,10,1,12,4,17,1,12,2,17,1,11,1,17,1,10,1,11,1,24,1,9,1,24,1,8,2,9,1,13,2,9,4,13,1,9,1,13,1,9,1,11,1,9,2,10,1,11,4,16,1,11,1,16,1,11,1,17,2,11,1,17,2,12,1,16,1,11,1,16,1,9,1,10,1,9,1,11,3,16,1,9,1,16,1,9,1,17,1,16,1,11,1,9,1,17,1,11,3,17,41,16,1,17,48,11,1,17,2,10,1,12,2,9,1,10,1,9,1,11,1,9,1,10,1,24,1,17,1,9,2,11,1,10,1,8,2,9,1,8,1,9,2,11,1,8,1,9,2,10,1,9,1,10,1,17,1,9,2,13,1,9,2,13,1,9,1,13,1,10,1,8,1,13,1,8,4,13,1,6,1,13,1,8,2,6,1,8,1,13,3,8,2,13,1,9,1,13,1,8,1,13,3,9,1,10,2,9,1,11,1,17,2,12,1,17,13,11,1,9,1,13,27,6,1,13,1,6,1,8,1,17,16,12,1,17,3,11,3,9,2,10,1,9,1,8,2,10,1,8,1,13,1,24,2,13,3,8,1,24,1,13,1,24,1,8,1,24,1,8,1,7,1,13,1,24,1,9,1,24,1,13,1,8,1,6,1,13,2,6,1,13,2,7,1,6,1,13,2,7,1,13,2,6,1,13,1,7,1,13,1,7,1,6,1,13,3,8,1,13,4,6,1,7,1,6,1,13,4,7,1,13,1,7,2,6,1,13,1,7,1,6,4,7,1,13,2,7,2,13,1,7,1,13,1,7,1,13,1,8,2,13,1,6,1,8,1,6,1,13,1,8,1,13,5,7,2,9,1,13,8,8,1,13,1,8,1,9,2,24,1,9,3,24,1,12,2,17,13,12,1,17,16,12,1,17,32,12,1,10,1,17,1,12,2,11,1,9,1,24,3,8,2,24,1,8,2,9,1,13,1,28,1,30,1,28,2,30,3,29,1,30,1,6,3,30,1,28,1,29,1,16,1,9,1,14,1,13,1,6,1,7,1,13,2,8,1,9,1,10,1,12,4,17,7,10,1,13,1,17,1,6,1,9,1,13,2,10,1,17,5,24,1,17,1,13,2,8,1,6,1,30,2,28,6,30,4,28,2,6,2,11,1,17,21,12,1,11,1,12,1,11,1,9,1,17,1,11,1,12,1,17,1,10,1,12,1,10,1,9,2,24,1,13,1,9,1,8,1,9,1,13,1,24,1,8,3,13,1,8,3,24,1,8,1,9,1,8,1,13,1,8,1,9,3,30,1,28,1,30,2,28,1,29,1,28,2,30,4,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,6,2,28,1,30,3,28,1,30,2,28,1,30,2,28,1,6,1,30,4,28,1,30,4,28,1,30,1,28,1,30,3,29,1,28,1,30,2,28,3,29,1,30,1,28,1,30,2,28,1,30,3,28,2,30,3,28,2,30,1,28,3,6,1,13,1,28,1,6,1,30,1,28,2,29,1,28,1,30,1,6,1,30,4,28,1,30,4,6,1,30,1,28,1,30,2,29,1,30,2,28,2,30,1,6,1,30,3,28,2,30,2,28,1,30,3,28,1,6,1,13,2,9,1,8,1,30,1,28,1,6,1,29,1,6,1,29,1,30,4,29,1,30,1,29,1,28,1,30,1,28,1,30,5,6,1,30,5,28,3,30,3,28,4,30,1,28,2,30,1,28,4,30,1,6,1,30,2,28,1,30,1,6,1,30,1,6,1,30,4,28,3,30,3,6,1,30,1,28,4,6,1,13,2,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,9,30,1,28,3,30,1,28,3,30,1,28,2,29,1,6,2,30,1,13,1,30,2,13,1,6,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,1,28,1,30,4,6,1,30,1,6,2,30,2,28,10,30,1,28,1,30,1,28,6,30,2,28,2,30,1,28,18,30,1,6,1,13,2,6,1,7,1,6,3,13,1,9,1,13,3,29,1,30,3,28,1,30,3,28,3,30,2,28,4,30,2,6,1,30,1,28,1,30,3,28,1,30,1,28,1,6,1,30,8,28,1,30,2,6,1,30,3,28,1,13,2,28,1,30,2,28,3,30,1,28,8,30,1,28,1,30,3,28,2,30,4,28,2,30,3,28,1,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,5,30,1,28,4,30,1,28,2,30,1,29,1,28,3,30,1,28,14,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,3,30,2,28,2,30,2,28,6,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,29,1,30,4,28,2,30,1,6,1,13,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,10,30,1,29,1,6,1,29,1,13,1,28,6,30,1,6,1,28,14,30,1,13,1,9,1,8,1,9,1,8,1,13,6,8,1,11,1,10,4,24,1,8,1,10,1,24,2,8,1,7,1,10,2,8,1,24,1,9,1,13,1,10,1,12,1,11,2,9,2,11,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,9,3,16,1,11,2,17,1,11,1,17,3,9,1,11,1,10,1,11,3,12,1,10,1,12,1,10,1,9,3,11,3,24,2,26,1,6,1,27,1,30,1,28,1,6,1,28,2,6,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,4,7,1,8,3,13,1,8,1,13,1,8,1,13,8,6,3,7,1,30,1,28,1,30,6,28,2,6,1,28,1,30,1,29,1,6,1,30,1,13,1,8,1,9,1,8,1,9,1,8,1,13,1,9,2,8,1,11,2,12,1,9,3,10,1,11,2,12,1,10,1,9,1,11,1,16,1,13,1,9,1,11,1,8,1,9,1,8,1,13,7,7,2,13,1,30,2,6,1,30,1,28,1,30,3,28,2,30,3,28,1,30,2,29,1,28,13,30,3,28,2,29,1,28,2,6,1,28,1,30,1,28,1,30,2,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,29,1,30,2,29,1,28,1,30,4,29,1,6,2,29,1,13,1,6,2,13,2,6,1,13,1,6,2,13,4,7,1,13,3,6,1,30,1,6,1,29,1,28,1,6,1,28,3,30,3,6,1,30,2,6,1,30,1,6,1,30,1,6,2,13,1,6,1,8,1,7,1,13,2,8,1,7,1,13,1,8,1,13,1,8,1,9,2,13,1,8,1,13,1,9,1,8,1,9,1,13,2,12,1,10,1,11,2,9,4,8,1,9,1,13,1,8,2,9,3,11,1,9,1,11,1,13,2,9,2,13,2,10,1,9,5,8,1,17,1,10,1,11,1,8,1,9,3,11,1,9,1,8,3,9,1,13,1,8,1,9,2,13,1,8,1,9,1,8,1,9,1,11,1,17,2,16,1,17,6,11,2,17,2,11,1,12,1,11,1,12,1,11,1,9,1,10,1,9,1,10,1,13,1,8,1,13,1,8,1,13,2,8,1,7,1,13,4,6,1,13,2,6,1,13,1,8,1,13,3,7,1,13,1,8,6,6,1,9,1,13,1,8,3,13,2,8,3,9,2,11,2,17,1,9,1,7,1,29,1,7,1,25,1,27,1,25,1,27,1,26,1,27,1,29,1,27,3,25,1,30,3,29,1,30,1,29,2,28,1,30,3,28,7,30,1,28,4,30,3,28,15,6,1,13,1,30,1,29,1,28,2,30,1,28,1,30,1,6,1,28,2,30,1,28,2,30,6,6,1,29,1,6,3,29,1,6,5,13,6,17,4,16,1,17,5,11,2,9,1,11,1,8,2,9,1,13,1,7,1,13,1,7,1,13,2,8,1,13,4,6,1,13,1,6,2,13,1,7,1,6,1,29,1,8,1,13,1,8,1,13,3,7,1,13,10,8,1,13,2,8,1,11,1,9,1,11,1,8,1,9,1,13,1,8,1,13,1,9,1,13,2,7,1,13,1,7,1,13,2,6,1,7,1,6,1,8,1,7,1,13,1,8,1,7,2,6,2,13,1,6,2,13,2,7,1,6,1,13,2,7,1,13,1,30,1,6,2,13,2,6,1,13,1,6,1,7,1,13,1,8,1,7,1,13,1,9,1,16,1,17,1,11,1,16,2,10,1,9,3,10,2,9,2,8,2,11,1,16,2,11,1,9,1,10,1,11,1,8,1,13,2,9,1,13,2,30,2,13,1,6,1,13,1,8,1,13,2,29,1,6,1,7,2,6,1,30,1,13,1,30,2,6,1,13,1,6,1,13,1,6,2,29,1,7,1,30,1,29,1,28,1,30,2,28,2,30,2,29,1,30,3,28,9,30,1,29,1,28,12,30,1,28,1,6,1,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,6,30,1,28,5,30,1,28,4,30,1,28,3,30,2,28,2,30,1,28,6,30,1,6,1,28,16,17,2,16,1,9,1,8,1,29,1,28,14,30,2,29,1,30,1,13,1,6,1,8,1,6,1,8,1,9,2,13,1,28,7,13,1,24,1,29,2,28,42,17,1,28,5,16,1,17,1,13,1,28,5,6,2,7,1,9,1,16,1,17,1,8,1,28,5,30,1,9,1,30,1,28,6,}, {9,2,30,1,28,49,30,1,28,2,29,1,8,1,17,1,11,1,13,1,6,1,30,1,6,1,28,1,29,1,9,1,10,1,6,1,29,1,7,1,8,1,13,1,12,1,17,3,16,1,17,1,16,2,10,1,13,1,6,1,28,2,30,1,6,1,29,1,30,1,13,1,12,1,11,1,6,3,28,1,30,2,9,1,17,2,16,1,11,1,8,1,9,1,13,2,11,1,8,1,9,1,13,1,11,1,16,1,17,1,9,2,8,1,6,1,13,1,6,1,13,1,9,1,6,1,28,37,6,1,8,1,10,1,24,1,9,1,6,1,28,4,6,1,30,1,6,1,17,5,11,2,9,6,7,1,13,1,6,2,13,1,30,1,13,1,6,1,8,2,9,1,6,1,9,3,11,2,17,1,16,1,6,1,28,17,6,1,17,31,11,1,17,2,10,1,17,1,10,1,9,1,10,2,9,3,8,1,10,2,9,4,13,4,8,1,13,1,8,1,13,1,7,1,13,1,7,1,6,1,7,1,6,1,13,1,7,1,8,1,9,1,8,1,10,1,24,1,8,1,12,2,17,3,12,1,17,1,11,1,10,3,12,1,9,1,24,1,8,1,9,1,10,1,11,1,9,1,10,1,12,1,17,3,12,1,17,1,12,2,17,4,9,1,13,1,9,1,13,1,8,2,9,1,10,1,13,1,11,1,9,1,8,1,13,1,9,3,10,1,9,1,11,8,16,1,11,1,10,1,17,2,11,1,17,2,9,1,12,1,9,1,11,1,10,1,16,1,8,1,10,1,11,1,9,1,16,1,11,2,16,1,11,1,16,1,17,1,16,1,17,2,16,1,11,1,17,61,16,1,17,27,12,2,10,2,17,2,9,1,12,2,9,1,10,1,9,1,11,1,9,7,13,3,8,3,10,1,9,1,8,1,9,2,11,1,17,1,8,2,9,1,13,2,9,1,13,1,8,1,13,1,8,2,13,2,8,2,13,1,8,1,13,2,8,1,13,4,6,1,8,1,13,4,8,2,9,1,8,1,9,2,11,1,12,1,11,1,17,3,11,1,17,12,16,1,8,1,13,1,7,1,13,1,7,1,13,11,8,1,13,4,6,1,13,6,6,1,13,1,17,15,12,1,17,5,11,3,10,1,9,2,11,1,13,1,9,1,8,4,13,1,7,1,24,1,8,2,7,1,8,1,13,2,8,1,24,1,9,1,8,1,13,1,8,1,9,1,13,1,29,1,6,1,13,1,8,2,7,2,13,2,6,1,13,2,7,1,13,2,6,1,13,5,8,1,13,1,8,1,13,1,6,1,13,8,7,1,13,1,6,2,13,1,7,1,6,1,7,1,13,4,6,4,13,1,7,1,13,3,6,1,13,2,8,1,13,3,24,1,7,2,13,1,6,1,13,5,9,2,24,1,9,1,13,1,8,3,13,2,9,1,8,1,24,1,8,2,9,1,10,2,9,2,17,1,10,1,17,1,12,1,17,16,12,1,17,1,11,1,17,42,10,1,17,1,9,1,10,2,9,1,24,1,8,3,9,1,8,4,6,1,30,6,6,2,30,1,6,2,30,1,29,1,28,1,9,2,15,1,7,1,6,1,30,1,7,1,8,1,13,1,8,2,9,1,12,1,17,2,12,1,17,7,7,1,12,1,6,1,24,1,13,1,7,1,10,1,17,5,12,2,8,1,30,1,8,1,6,1,29,1,6,1,28,1,30,3,28,2,30,4,28,1,30,2,13,1,17,20,12,1,17,1,9,3,17,1,10,1,11,2,12,2,17,1,9,3,13,1,9,2,8,2,13,2,8,3,13,1,24,1,13,1,8,1,10,1,8,1,24,1,9,1,8,2,24,1,8,2,9,1,6,1,28,4,13,1,30,2,28,3,30,1,28,2,30,1,28,2,6,1,30,1,28,3,6,1,30,4,6,1,30,1,28,2,6,1,30,2,28,1,30,2,28,1,30,6,28,2,30,2,29,1,30,1,28,2,30,3,28,3,6,1,30,3,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,6,1,30,1,28,1,6,1,28,1,30,5,28,1,30,2,28,1,6,2,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,6,1,7,1,28,2,30,1,28,2,30,3,13,2,10,1,13,1,6,2,29,1,8,1,30,3,28,1,30,1,28,2,30,2,28,1,30,1,13,1,28,4,30,1,6,1,30,1,28,1,30,7,28,1,30,4,28,1,30,2,28,1,30,1,29,1,28,3,30,1,28,1,30,1,28,1,6,1,30,1,29,1,30,3,6,1,30,4,28,1,30,1,28,1,30,3,28,1,30,1,28,3,30,2,13,2,7,1,6,1,30,2,28,1,30,1,28,7,30,1,28,4,30,1,28,3,30,1,28,3,30,1,7,1,30,1,28,2,30,3,28,2,30,1,28,1,13,1,8,1,7,1,30,1,29,1,30,2,13,1,7,1,30,1,29,1,30,10,6,2,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,28,5,30,1,28,14,13,1,30,1,28,15,30,1,28,5,30,1,13,1,6,1,28,1,30,2,28,3,30,1,6,1,30,1,29,1,30,2,28,2,30,2,28,5,30,1,28,4,30,1,28,1,6,1,29,1,30,6,29,1,28,2,30,5,28,3,30,2,28,3,30,1,28,3,16,1,30,2,28,10,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,4,28,1,30,2,28,6,30,1,28,11,30,1,6,1,30,2,28,1,30,1,28,4,30,1,28,12,30,1,28,2,30,1,28,2,30,1,28,1,29,1,28,7,30,1,28,3,30,1,28,6,30,2,28,2,30,3,28,5,30,2,28,2,6,3,28,1,30,1,28,2,30,2,13,1,29,1,6,1,28,1,30,5,28,3,30,1,28,3,30,4,6,4,9,1,28,6,30,3,28,5,30,1,28,7,6,1,9,1,8,1,13,6,9,1,13,2,8,1,9,2,17,1,9,1,24,1,10,2,8,2,24,4,8,1,24,3,9,1,13,1,9,1,13,1,9,1,11,1,8,1,17,1,8,1,9,1,8,2,13,1,8,1,10,1,9,1,8,1,9,1,11,1,17,3,11,1,17,3,11,1,17,1,9,1,11,1,10,1,17,2,10,1,16,1,9,2,11,2,10,1,11,1,9,2,8,1,6,1,29,2,30,1,29,2,28,2,29,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,4,11,1,13,1,8,1,13,2,6,1,13,2,6,1,13,3,7,1,13,1,6,1,13,1,6,4,30,2,6,1,28,1,30,1,28,1,30,3,28,3,29,1,30,1,6,3,13,2,9,1,8,1,13,1,9,1,10,1,11,3,12,1,8,1,12,1,11,2,9,4,11,2,9,3,11,1,9,1,8,1,9,1,8,1,13,1,9,1,7,1,13,1,6,1,13,1,6,1,29,1,6,1,7,1,6,3,30,1,6,2,28,4,30,2,28,1,30,1,28,11,30,2,28,6,30,1,28,5,30,1,28,1,30,2,28,7,30,2,28,1,30,1,28,1,30,2,28,2,30,1,6,1,29,1,6,2,30,1,6,3,30,1,29,1,6,4,7,1,13,1,6,2,13,2,6,1,13,1,6,1,13,4,6,1,13,1,30,1,28,1,6,1,30,3,28,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,6,1,30,1,13,1,6,1,9,1,13,2,8,1,13,2,8,1,13,1,9,3,8,1,9,2,13,1,9,1,8,2,10,1,9,2,11,2,9,2,11,1,9,4,8,1,10,1,9,2,8,1,9,1,11,1,9,2,13,1,9,1,8,1,11,2,10,2,9,1,11,2,17,1,9,1,11,1,8,1,9,1,8,1,10,1,9,2,8,1,9,1,10,1,9,1,13,1,9,1,13,1,8,3,9,1,13,1,8,1,9,4,10,1,17,8,11,2,17,1,10,1,17,1,16,1,9,1,11,1,8,2,9,1,8,1,13,1,8,1,7,2,13,1,6,1,13,1,6,1,13,1,8,1,6,1,13,1,6,3,7,1,13,2,8,2,9,2,8,4,9,3,13,2,8,4,13,1,9,3,13,1,9,2,17,3,13,1,6,1,24,1,25,2,27,1,26,1,25,1,26,1,29,1,27,2,25,1,29,2,27,1,29,1,28,1,29,1,30,2,29,1,28,1,29,1,30,2,29,2,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,2,28,15,13,1,29,3,28,2,29,1,30,2,28,2,30,9,6,3,30,1,29,1,6,2,13,1,6,2,13,5,8,1,11,1,17,10,16,1,8,1,9,1,11,1,8,1,9,2,13,7,6,1,13,1,29,1,13,1,6,1,13,1,29,1,13,1,6,2,13,1,6,2,13,7,7,1,13,10,9,1,16,1,9,2,13,2,16,1,13,1,9,1,13,4,6,1,13,3,6,2,13,1,6,2,13,3,6,1,7,1,13,1,6,1,13,2,6,1,7,2,6,5,13,1,7,1,30,1,6,5,9,1,13,1,9,3,11,1,9,1,8,1,9,1,6,2,9,1,13,2,8,1,6,1,7,1,13,1,7,2,6,1,13,2,7,2,9,1,13,3,6,3,13,2,7,1,6,1,13,1,6,1,13,2,7,1,13,1,28,1,7,1,13,1,6,1,29,1,6,2,29,1,6,9,30,1,6,1,30,1,28,1,30,4,29,1,28,5,30,1,28,7,30,1,28,6,30,1,28,4,30,2,28,3,29,1,30,3,28,4,30,1,6,1,28,1,6,1,28,3,30,2,28,6,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,4,30,2,28,4,30,2,28,1,30,1,28,15,8,1,17,2,9,1,8,1,13,1,28,1,30,1,28,15,30,1,13,1,6,1,13,1,8,1,9,3,10,1,13,1,28,7,13,2,6,1,28,1,29,1,28,31,30,1,28,9,9,1,28,5,17,2,6,1,28,5,29,1,30,2,8,1,12,1,17,1,12,1,28,5,30,1,8,1,30,1,28,6,}, {8,1,9,1,6,1,28,52,6,1,24,1,9,1,13,1,9,1,8,1,6,1,30,2,6,1,8,1,9,1,13,1,29,1,28,1,30,1,9,2,17,1,11,1,17,4,16,1,10,2,6,1,30,1,28,2,6,1,30,1,6,1,13,1,9,2,13,1,6,2,30,1,6,1,30,1,9,1,17,4,9,1,8,1,6,2,8,2,9,1,11,1,9,2,11,1,17,1,9,1,8,1,7,1,6,1,8,1,13,2,6,1,28,37,6,1,7,2,9,2,8,1,6,1,28,3,30,1,29,1,13,1,16,1,17,2,16,1,17,1,16,1,9,3,13,1,8,2,9,1,13,1,8,1,6,3,7,1,8,1,13,1,8,3,13,1,9,1,11,1,17,1,9,1,17,1,16,2,28,18,13,1,11,1,17,33,11,1,9,1,11,1,9,1,24,1,9,2,8,1,12,1,9,1,8,1,11,2,9,1,8,2,13,1,10,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,2,7,1,8,1,13,1,24,1,8,1,9,1,8,2,9,1,24,1,9,2,12,1,17,1,12,1,9,2,13,1,7,2,13,1,7,1,13,3,6,1,8,1,13,1,8,1,9,1,24,1,12,1,17,1,12,1,17,1,12,1,17,1,12,2,17,3,9,3,13,1,8,1,13,1,8,1,11,1,8,1,9,1,16,1,10,1,17,1,8,1,12,1,11,1,9,1,8,1,10,1,17,1,11,1,10,1,11,1,16,1,9,1,11,1,17,1,11,1,16,1,12,1,17,1,11,1,17,3,11,1,10,1,17,1,9,2,17,1,12,1,17,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,11,2,17,1,16,1,17,2,16,1,17,86,12,1,11,1,12,2,11,2,12,1,8,1,12,1,11,2,10,3,9,1,8,1,10,3,9,3,13,1,8,1,13,1,8,1,9,1,8,2,13,1,8,2,13,1,9,3,11,1,9,1,8,1,13,1,9,1,7,1,8,2,13,7,9,1,13,1,8,1,13,1,8,1,13,6,8,1,13,1,9,2,8,1,10,1,8,1,9,1,10,1,9,1,11,1,17,18,10,1,13,19,7,1,13,8,11,1,17,16,12,1,17,3,11,1,12,1,11,1,8,1,13,1,9,3,13,2,9,1,13,1,24,1,13,1,8,1,13,1,7,2,6,1,13,3,8,1,13,1,8,1,10,1,9,1,13,2,6,1,13,1,7,1,13,3,7,1,13,2,6,1,7,1,6,1,8,1,13,3,6,3,13,1,6,1,13,4,11,1,13,2,6,1,13,3,8,1,13,4,6,1,13,1,6,1,13,2,6,1,13,1,7,6,13,1,8,1,6,2,13,1,7,2,8,1,13,1,29,1,13,2,7,1,13,1,6,1,8,1,7,1,8,1,7,1,13,3,7,1,9,1,13,1,24,1,13,2,8,3,13,7,9,1,10,1,13,1,8,1,12,1,10,1,9,1,10,1,12,1,17,15,12,1,17,1,12,1,17,3,12,1,17,42,12,1,9,1,11,1,9,1,8,1,24,2,8,6,13,1,30,4,29,1,6,2,29,1,6,1,13,1,6,2,30,1,28,1,13,1,9,1,12,1,8,1,6,1,30,1,29,2,13,1,7,1,8,1,9,1,15,1,12,4,17,5,12,1,8,1,10,1,7,1,8,1,13,2,9,1,17,7,9,1,30,1,13,1,6,1,29,1,28,5,30,4,6,1,30,1,28,1,30,1,28,1,8,1,17,21,11,1,17,1,11,1,17,1,9,1,12,1,17,1,8,1,11,1,17,1,8,1,10,1,9,1,8,1,9,1,8,2,24,1,8,1,13,1,8,1,13,1,8,1,7,1,13,1,8,3,13,1,8,1,24,1,9,1,8,1,9,1,13,1,8,2,13,2,30,1,28,3,30,2,28,1,30,2,28,3,30,1,28,3,6,1,28,1,30,1,6,2,30,1,6,1,30,1,6,2,30,2,29,1,30,6,6,1,30,1,28,1,29,1,30,3,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,6,1,28,2,30,1,28,1,6,1,30,4,29,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,6,1,30,5,28,1,13,2,6,1,30,1,28,1,30,2,28,1,30,7,6,1,30,1,28,2,30,3,28,2,30,1,28,1,30,2,28,1,6,1,29,1,28,1,30,1,6,2,30,1,13,1,11,1,9,1,13,1,29,1,30,1,6,1,30,3,13,1,28,1,6,1,28,1,30,16,6,1,30,1,28,3,30,3,28,3,6,1,28,5,30,1,28,1,30,2,28,2,30,1,28,1,30,5,28,2,6,1,30,1,29,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,13,2,6,2,30,2,28,12,30,1,28,2,30,3,28,1,30,4,28,1,30,1,28,3,30,2,28,1,30,2,13,2,7,1,6,1,13,1,6,2,30,1,6,1,7,1,30,2,6,1,30,1,6,1,30,2,6,1,30,2,29,1,30,1,28,1,30,3,28,4,30,2,28,5,30,2,28,13,6,2,28,17,30,1,28,2,30,1,28,1,13,2,28,1,30,2,28,2,30,1,28,1,30,4,28,2,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,3,6,2,30,1,28,1,30,2,6,1,29,1,30,2,6,1,28,1,30,2,28,2,6,1,30,2,28,1,30,2,28,2,30,2,28,3,16,1,28,3,30,2,28,8,30,2,28,2,30,1,28,1,30,1,28,2,30,1,6,1,28,5,30,2,28,1,6,1,28,2,30,2,28,1,30,1,28,1,6,1,28,14,30,2,6,1,28,2,30,4,28,21,30,1,28,3,6,1,28,4,30,1,28,3,30,2,28,5,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,3,6,1,28,1,6,1,8,1,6,2,28,1,30,1,6,2,8,1,9,1,28,1,30,3,28,1,30,1,28,11,30,2,29,1,6,1,28,1,13,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,14,13,1,11,1,8,2,13,1,6,1,13,2,9,1,13,2,9,1,13,1,9,1,10,1,12,1,8,1,12,1,24,3,8,1,24,2,12,1,10,1,9,1,24,1,11,1,8,1,9,3,13,1,9,4,8,1,10,1,8,1,13,3,10,1,9,1,13,1,17,1,11,1,12,1,17,8,11,1,17,3,12,1,16,1,10,1,11,1,9,1,10,2,13,1,10,1,9,1,24,2,29,1,27,1,29,1,30,8,29,1,28,4,30,1,29,2,30,1,28,2,10,1,13,5,8,1,13,1,6,2,13,1,6,1,7,1,13,1,6,1,7,1,6,1,30,4,28,2,6,1,30,3,28,1,30,3,6,1,30,3,6,1,7,1,13,1,7,1,9,1,8,1,13,1,8,2,9,4,11,1,9,3,10,1,12,1,9,3,10,2,9,1,11,2,9,2,8,2,9,1,13,1,9,1,8,1,6,1,13,2,6,1,13,1,30,1,29,1,7,1,30,3,28,2,29,1,28,1,30,1,28,2,30,3,28,9,30,1,28,1,30,1,28,2,30,1,28,4,6,1,28,1,30,1,28,1,30,2,28,6,30,1,28,2,30,3,28,1,6,1,30,1,29,1,28,1,30,4,28,1,30,1,29,1,6,2,29,1,6,2,30,1,6,1,30,1,6,1,13,1,30,1,13,1,6,2,13,1,6,2,13,2,7,1,13,1,6,3,13,1,6,2,30,1,28,1,6,1,30,1,6,1,29,1,28,1,6,2,28,1,6,1,30,2,6,1,30,2,6,1,13,1,6,2,13,2,6,1,13,2,30,1,8,1,13,1,8,2,13,1,8,1,13,2,8,2,13,2,9,1,8,1,9,2,11,2,16,1,9,2,11,1,9,6,8,1,16,1,9,2,16,2,8,1,9,1,16,1,12,1,11,2,12,1,11,1,9,1,11,1,17,2,9,1,8,2,11,1,8,1,11,1,8,1,9,2,8,3,9,2,8,2,9,1,8,1,9,1,8,2,9,1,11,1,9,2,16,1,11,1,17,5,12,1,17,2,10,1,17,2,16,1,11,1,9,1,12,2,8,1,12,1,9,2,13,1,8,1,9,1,13,1,8,1,13,2,8,2,13,1,6,1,13,2,7,1,13,4,8,1,9,2,12,1,8,1,9,1,8,3,9,1,8,1,13,1,9,1,13,3,8,1,10,1,8,1,9,3,16,1,9,1,17,2,24,1,7,1,8,2,25,2,30,1,25,1,26,1,27,3,29,1,27,2,29,3,30,2,29,1,30,1,29,1,30,1,27,1,30,1,29,1,30,1,29,2,28,2,29,1,30,1,28,1,30,1,6,1,29,1,28,18,30,1,6,1,29,1,30,1,6,1,28,1,30,2,6,1,30,2,6,1,29,2,30,5,6,1,30,1,6,2,30,1,6,1,13,1,6,1,29,2,6,1,13,1,8,1,13,2,11,1,17,12,16,1,8,1,10,1,9,1,8,1,13,1,8,1,13,2,7,1,13,1,6,1,13,1,8,1,13,6,6,1,13,1,7,1,13,1,6,1,13,3,7,1,13,2,6,1,8,1,13,1,7,1,13,9,8,1,9,3,11,1,9,1,13,1,16,1,13,4,6,2,13,1,7,1,6,1,13,3,7,1,13,2,7,2,6,1,13,1,6,1,7,1,6,2,13,2,6,1,13,1,6,2,13,1,6,2,13,1,6,1,13,2,8,1,30,1,13,1,6,1,8,1,13,2,29,1,13,1,7,1,6,1,13,2,9,1,13,1,6,2,7,1,13,2,6,1,13,1,7,1,13,2,6,1,29,1,13,1,6,1,29,1,13,1,6,1,29,1,6,2,13,1,7,1,6,1,13,1,6,1,13,3,7,1,6,2,13,1,6,1,7,1,6,1,13,1,6,1,29,1,6,3,30,1,6,2,7,1,13,1,6,3,30,3,28,2,29,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,7,30,1,28,4,30,1,28,10,30,2,6,1,30,1,28,1,30,3,28,5,30,1,6,1,28,1,30,3,28,9,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,8,30,1,28,16,9,1,14,1,17,1,9,1,13,2,28,1,30,2,28,1,30,1,28,12,6,1,30,1,6,1,13,3,8,1,17,1,16,1,6,1,28,7,6,1,8,1,6,1,28,1,30,1,28,30,6,1,28,9,6,1,9,1,28,5,17,2,28,6,30,2,7,1,11,1,17,2,9,1,28,6,13,1,28,7,}, {6,1,9,1,29,1,28,31,30,1,28,16,30,1,28,3,6,2,9,1,17,1,10,1,13,1,30,1,28,1,6,1,29,1,13,1,11,1,13,1,29,1,13,1,24,1,8,2,11,2,17,2,16,1,17,1,16,1,9,1,10,1,13,1,30,1,28,1,30,3,28,1,6,1,9,2,6,5,30,1,9,1,11,1,17,2,11,1,9,1,13,2,6,2,8,1,11,3,9,1,17,2,8,1,13,1,29,1,30,1,13,1,6,1,13,1,6,1,28,38,13,1,9,3,13,1,28,2,29,1,30,1,28,2,8,1,11,1,17,6,16,1,8,1,9,1,8,1,9,1,13,2,6,6,13,2,9,1,8,1,13,1,9,1,11,1,16,1,11,1,16,2,17,1,30,1,28,17,8,1,17,33,12,1,11,1,9,2,10,1,9,4,8,1,9,4,10,1,9,2,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,8,3,13,1,8,1,9,4,13,1,24,1,8,1,24,1,8,1,24,1,17,1,9,1,13,2,7,4,29,2,6,1,7,1,6,4,24,1,12,1,10,1,9,1,12,2,10,1,9,1,12,2,17,1,12,1,17,2,9,2,24,1,8,1,13,1,9,1,8,1,9,2,11,1,12,2,9,1,10,1,9,1,11,1,12,1,17,2,12,1,11,1,16,1,17,1,11,1,9,1,8,1,17,1,9,1,16,2,11,1,12,1,16,1,17,2,11,1,17,1,11,1,9,2,17,1,9,2,11,1,17,1,10,1,17,1,11,1,17,2,11,2,17,25,16,1,17,66,12,1,9,1,12,1,9,1,12,1,9,1,11,1,9,1,11,1,9,7,11,1,9,1,13,1,9,2,13,1,8,1,13,1,8,2,13,1,8,3,9,3,13,1,8,1,9,2,17,1,9,1,8,5,13,2,8,1,13,1,8,1,13,3,8,1,13,5,7,1,8,1,13,3,8,1,9,1,8,1,9,2,11,1,10,2,11,1,17,3,11,1,17,16,9,1,7,1,13,5,8,1,13,19,9,1,17,6,12,1,17,10,10,1,17,2,11,2,10,1,11,1,10,1,11,1,10,1,9,2,8,1,24,2,13,1,24,1,13,2,8,1,13,2,7,1,13,2,7,1,13,2,9,1,8,1,24,2,13,1,7,1,29,1,7,3,13,2,7,1,8,1,13,1,6,1,13,3,7,2,13,6,6,1,13,1,29,1,7,1,13,1,8,1,13,1,7,1,13,1,7,2,13,1,7,3,13,1,6,1,7,2,6,1,13,1,6,1,7,1,30,1,13,1,6,1,7,2,30,1,7,1,13,1,7,1,13,2,7,1,6,1,13,1,6,1,13,3,7,1,13,2,6,1,13,1,8,1,6,1,13,2,8,1,6,1,13,1,8,1,13,1,8,2,13,1,8,1,13,1,7,1,13,4,8,1,9,1,13,1,24,1,9,5,10,1,11,1,9,1,17,1,10,1,17,60,12,2,10,1,9,2,8,3,13,2,8,1,13,2,8,1,30,2,29,1,30,2,6,3,13,2,29,2,6,3,30,1,8,1,9,2,29,1,6,3,7,1,8,1,13,1,12,3,10,1,24,1,12,1,17,4,12,1,24,1,9,1,13,3,8,2,17,5,12,1,17,2,28,1,7,1,6,2,28,1,30,1,28,1,30,1,28,3,30,4,28,1,30,2,11,1,17,18,12,1,17,2,11,2,10,1,11,1,10,1,11,1,12,2,17,1,9,4,8,2,9,1,8,1,13,1,8,1,13,1,9,1,13,2,8,1,24,1,13,1,8,1,11,1,7,1,24,1,13,3,8,1,24,1,13,1,9,1,13,1,9,1,28,2,30,1,28,1,30,3,28,3,30,1,28,1,30,2,28,2,29,1,30,1,6,1,29,1,7,1,30,1,6,1,13,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,5,28,1,30,2,28,5,30,1,28,2,30,1,28,1,30,2,28,2,30,1,6,1,28,1,30,5,28,2,30,2,28,2,30,3,28,2,30,1,6,1,28,1,30,3,28,2,7,1,30,1,28,1,30,3,28,1,30,2,6,1,30,1,28,2,30,3,28,1,29,1,28,1,30,1,6,2,30,2,28,1,29,1,30,1,28,1,6,1,30,1,13,1,6,1,30,1,13,2,6,1,30,2,28,3,30,3,6,2,30,5,28,2,30,2,28,1,6,1,30,1,29,1,30,1,28,1,30,7,28,2,30,3,28,1,6,1,28,1,30,1,28,3,30,3,28,1,30,3,28,4,30,5,28,2,30,6,28,1,30,1,28,1,30,2,28,2,30,1,6,1,13,2,28,1,30,2,28,13,30,2,28,4,30,2,28,1,30,1,28,1,30,3,6,1,28,2,30,3,29,1,13,1,7,1,6,2,30,3,29,1,6,3,28,1,30,6,28,1,29,2,30,7,28,9,30,1,6,1,30,1,28,2,30,1,28,7,30,2,28,2,30,1,28,10,30,1,28,6,30,1,28,1,30,1,28,1,6,1,7,1,28,3,30,2,28,3,30,1,28,4,30,1,28,1,30,1,29,1,30,2,6,1,30,4,29,1,28,1,29,1,6,1,13,1,28,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,28,1,29,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,2,28,3,11,1,30,1,28,14,30,2,28,7,6,1,28,1,30,1,28,1,30,3,28,2,30,2,28,2,30,2,28,16,30,2,28,1,30,3,28,1,30,1,6,1,30,2,28,11,30,2,28,4,30,1,28,5,6,1,28,9,30,1,28,4,30,2,28,1,30,4,28,1,30,2,28,1,6,1,28,1,30,4,28,2,6,3,30,1,6,2,30,3,6,1,7,1,8,1,6,1,30,2,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,2,30,1,6,1,30,3,6,1,30,1,13,1,6,1,28,1,29,1,28,16,30,1,13,1,11,1,8,2,13,2,6,1,13,2,8,1,13,1,9,2,11,1,17,1,12,1,10,2,24,1,8,1,24,1,13,1,24,1,17,1,24,1,12,1,10,1,12,1,11,1,8,1,13,1,8,1,9,4,10,1,9,1,13,1,9,1,13,2,8,1,13,1,9,1,8,1,13,1,12,1,17,4,12,1,17,5,11,1,17,1,12,1,17,2,9,1,11,1,9,2,11,1,9,4,8,1,7,1,29,1,26,1,27,1,29,3,30,2,29,1,30,3,28,2,30,2,28,1,30,1,28,1,6,1,28,1,13,1,11,1,8,1,13,4,6,1,13,2,6,2,13,1,6,6,30,1,29,1,30,1,6,1,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,6,2,29,1,13,1,7,1,9,1,13,2,8,2,9,1,8,1,9,8,10,2,9,1,10,1,11,1,9,1,8,1,9,1,10,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,6,1,13,3,29,1,6,1,30,1,29,1,30,1,6,1,30,2,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,2,28,1,30,2,28,1,6,1,28,2,30,1,28,6,6,1,28,1,30,1,28,2,30,1,28,2,29,1,28,2,30,2,28,1,30,1,28,3,30,1,28,1,30,3,6,1,28,1,6,4,30,1,6,4,30,1,6,1,13,2,6,2,13,2,6,2,13,1,6,1,7,1,30,1,13,1,6,1,13,1,6,3,13,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,13,1,29,1,28,1,29,1,6,1,30,1,6,1,30,1,6,1,7,1,29,1,6,2,13,2,7,1,13,1,8,1,6,1,13,1,9,1,13,1,9,1,8,1,13,3,9,1,13,1,8,2,13,1,9,4,11,2,9,4,13,1,11,1,9,2,8,1,10,1,8,1,9,2,16,1,17,4,11,1,17,1,11,1,17,1,10,2,17,1,12,1,17,1,9,4,13,1,8,1,9,1,13,1,8,1,11,1,9,1,8,1,9,1,13,1,9,2,13,1,9,1,8,1,9,2,8,2,9,3,11,1,17,9,16,1,17,1,12,2,17,1,11,1,12,2,11,1,8,1,9,2,13,2,8,2,13,1,9,2,6,1,13,2,7,1,8,1,6,1,13,5,7,1,8,1,11,1,13,1,9,1,13,1,8,1,9,1,13,6,8,1,9,1,8,1,9,1,8,3,10,2,17,2,24,1,13,1,24,2,8,2,27,11,28,1,29,3,28,1,30,3,29,3,28,1,29,1,30,1,29,1,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,12,30,1,28,5,29,1,6,2,30,1,29,1,30,1,7,1,30,1,6,1,29,1,30,3,29,1,30,1,6,1,30,3,6,1,7,1,6,2,7,1,6,1,13,5,11,1,17,14,9,2,11,1,9,2,8,1,13,2,8,1,6,1,13,1,6,1,8,1,13,1,6,1,13,2,7,1,6,1,13,1,7,1,13,10,9,1,13,2,6,1,13,6,8,2,13,2,9,3,11,1,9,3,13,1,6,1,13,1,6,1,13,1,6,2,13,2,7,1,6,1,13,1,6,2,7,1,6,2,13,1,6,2,13,2,6,1,13,1,7,1,29,1,6,2,13,1,6,1,13,1,29,1,6,4,7,1,13,1,6,1,13,2,29,1,13,2,6,1,13,3,6,1,13,3,7,1,6,1,13,1,6,1,13,1,6,1,29,1,13,1,6,2,29,2,6,2,30,1,6,1,13,1,6,1,13,1,6,1,30,1,13,1,6,1,13,1,7,3,6,4,29,1,6,1,13,1,30,1,6,1,30,2,29,1,6,4,30,1,7,1,29,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,3,28,1,30,1,28,2,29,1,30,2,28,13,30,1,28,4,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,5,30,1,28,5,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,9,30,1,28,17,13,1,17,2,11,1,8,1,6,1,30,2,28,12,29,1,28,1,30,1,6,1,30,1,13,3,8,1,11,1,17,1,11,1,13,1,28,6,29,1,6,1,13,2,6,1,28,30,30,1,28,10,9,1,7,1,28,4,29,1,17,1,11,1,30,1,28,7,30,1,9,1,16,1,17,1,13,1,28,5,30,1,9,1,28,7,}, {6,1,9,1,28,53,30,1,7,1,12,1,17,2,24,1,6,2,28,1,30,1,8,1,10,1,24,1,29,1,13,1,7,1,13,1,9,1,16,1,17,1,16,1,17,3,16,1,11,1,9,1,13,1,29,2,30,1,28,1,29,1,28,1,13,1,9,2,6,1,28,2,13,1,30,2,9,1,17,2,11,2,9,1,8,2,13,2,9,2,12,1,9,1,10,1,16,1,9,1,8,1,13,1,30,2,6,1,8,1,6,2,28,37,30,1,6,1,13,1,9,2,24,1,28,6,6,1,11,1,17,3,16,1,17,3,10,1,9,1,10,1,9,1,8,1,13,2,6,2,8,1,7,2,6,1,8,1,13,1,8,1,13,1,11,2,17,1,16,1,11,1,17,2,30,1,28,17,8,1,17,34,9,3,10,1,9,3,8,1,9,1,10,1,9,4,8,1,9,1,8,1,9,2,8,1,13,1,9,1,8,1,11,2,12,2,10,1,9,1,8,2,12,1,13,5,24,1,10,1,11,1,9,1,13,2,7,1,6,2,13,3,7,1,6,1,7,2,6,2,13,1,24,1,12,1,10,1,12,1,17,1,9,1,12,2,10,1,17,2,12,1,17,1,10,1,13,2,9,1,8,2,9,1,12,1,9,1,10,1,12,1,10,1,12,1,11,1,12,1,16,1,9,1,10,1,12,1,11,1,16,1,9,1,11,1,16,1,11,3,16,1,11,1,16,1,17,1,11,1,12,1,11,1,12,1,11,1,17,1,11,1,12,1,11,1,12,1,17,1,9,1,11,1,17,1,11,1,16,1,17,1,11,1,16,2,11,1,17,89,12,1,17,1,12,1,17,1,11,2,10,1,11,1,9,1,11,1,10,1,11,1,8,1,10,1,8,1,9,2,8,1,10,1,9,1,11,1,7,1,13,3,8,2,13,1,8,1,13,2,8,1,11,1,13,2,8,2,9,1,8,2,9,1,17,1,11,1,13,5,8,2,13,1,8,1,13,4,8,1,13,1,8,1,9,1,13,1,8,4,9,2,10,1,9,1,10,1,9,1,10,1,9,1,12,3,17,2,11,1,17,1,12,1,17,15,9,1,13,2,7,1,13,10,8,2,13,7,8,1,13,1,8,1,17,21,11,1,12,2,10,1,11,1,8,1,9,3,24,1,8,1,9,1,24,1,7,1,8,1,13,3,8,1,13,1,8,1,13,3,8,1,6,1,7,1,24,1,7,1,13,1,7,2,6,1,13,2,7,1,6,2,13,3,7,1,6,1,13,2,7,1,13,1,7,1,8,1,7,1,13,2,6,1,8,2,6,1,8,2,13,2,7,2,6,1,13,2,7,3,6,1,13,1,6,1,7,3,6,1,13,1,6,1,7,1,13,1,8,1,13,1,6,1,7,3,13,1,7,2,8,1,13,3,8,1,7,2,13,2,8,1,7,1,6,1,13,1,7,2,13,1,8,1,13,2,8,1,13,1,8,2,6,1,13,3,7,1,8,1,13,1,8,1,13,4,11,1,9,1,10,1,9,1,12,1,10,3,12,1,9,1,12,1,11,1,17,2,12,1,17,2,12,1,17,7,11,2,17,42,10,1,11,1,8,4,13,1,8,1,13,2,8,1,13,1,9,1,6,1,30,1,28,1,30,2,6,1,29,1,6,1,7,1,6,4,30,1,29,1,30,1,6,1,13,1,9,1,10,1,13,3,7,1,13,3,9,1,13,2,8,1,17,4,12,1,7,1,9,2,13,2,7,1,13,1,8,1,17,1,12,1,17,2,12,1,17,3,30,1,6,3,30,1,28,3,30,1,28,1,30,5,28,1,6,2,11,1,17,13,12,1,17,2,12,1,17,1,11,1,17,1,11,1,17,1,9,2,10,1,11,2,17,1,10,1,11,1,17,1,10,1,8,2,9,1,8,3,13,1,11,1,8,2,13,3,8,1,13,3,9,1,24,1,13,2,9,1,13,1,9,2,8,1,9,2,30,1,28,1,30,1,28,2,30,2,28,4,30,2,28,1,30,2,29,1,30,1,6,1,30,1,6,1,8,1,6,6,28,1,30,4,28,1,30,1,6,1,30,3,28,1,30,1,28,1,30,6,28,1,30,1,28,3,30,4,28,2,30,1,28,2,6,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,2,6,1,30,3,28,2,30,2,29,1,7,1,30,1,28,1,30,3,6,1,30,2,29,1,30,2,6,1,30,2,6,2,29,1,30,2,28,1,30,4,28,2,30,2,28,1,30,2,13,1,6,1,28,2,30,1,28,1,30,2,28,4,30,1,6,1,30,3,28,2,30,5,28,2,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,2,28,1,30,3,28,1,29,1,30,3,28,2,30,2,28,1,29,1,28,3,7,1,6,1,28,1,30,3,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,3,13,3,29,1,28,1,30,1,28,3,30,1,28,2,30,1,28,10,30,3,28,2,30,1,28,2,6,1,28,2,30,1,28,2,30,1,29,1,6,1,13,1,6,3,30,3,28,2,30,1,8,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,30,5,28,1,30,1,28,11,30,1,28,1,30,2,28,6,30,1,28,2,30,2,28,22,30,1,13,2,28,4,30,1,28,4,30,1,28,1,30,1,28,1,6,1,28,1,6,1,28,2,29,1,30,2,28,1,30,1,28,1,30,3,6,2,30,3,6,1,30,3,6,1,30,3,29,1,30,2,29,1,28,1,30,2,28,1,30,1,7,1,28,7,30,1,8,1,28,12,30,1,28,3,30,5,28,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,6,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,8,30,4,28,1,30,1,28,2,30,1,28,1,30,3,28,3,30,1,28,10,30,1,28,2,30,1,28,4,30,1,28,4,30,1,28,4,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,2,13,1,7,1,30,3,6,3,29,1,28,2,30,2,6,1,28,2,6,1,13,1,9,1,30,6,28,3,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,13,1,9,1,30,2,28,1,30,1,28,13,29,1,28,1,30,1,8,1,11,1,13,1,8,1,13,1,7,1,13,3,8,1,13,1,24,1,12,2,10,1,24,2,8,1,9,1,24,1,8,2,24,1,12,1,10,1,9,1,10,1,9,1,13,1,8,1,11,1,9,1,13,1,9,2,8,1,9,1,11,1,13,4,8,1,9,1,8,1,9,2,17,5,11,1,12,1,11,1,17,2,11,1,10,1,11,2,17,1,11,1,9,2,11,1,9,1,8,1,9,4,24,1,6,1,29,1,27,2,29,3,28,2,29,1,28,4,29,1,30,1,28,1,6,1,28,2,6,1,28,1,9,2,13,4,7,1,6,5,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,3,29,2,30,1,6,2,13,1,8,3,13,1,8,1,9,1,8,1,9,3,10,1,9,1,8,1,9,3,8,1,9,2,8,1,11,1,9,3,8,3,9,3,8,1,13,3,6,1,13,1,29,1,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,4,30,2,28,1,30,1,28,12,6,2,30,1,28,9,30,2,28,1,30,2,28,1,30,1,28,1,29,1,30,3,29,1,28,1,6,1,30,1,6,7,29,1,7,1,6,1,29,1,13,1,6,1,7,1,13,1,6,1,13,1,6,1,13,2,6,1,29,1,6,3,28,1,30,1,28,1,30,3,6,1,30,6,6,1,30,1,6,2,7,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,8,2,13,8,8,1,13,1,8,2,9,1,13,2,9,1,11,1,17,1,11,3,9,1,12,1,8,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,12,1,11,1,17,1,12,1,17,1,11,2,12,1,10,1,11,4,12,1,9,1,8,3,9,1,13,1,8,1,10,1,9,1,10,1,8,2,9,1,13,1,9,2,8,1,9,1,8,1,9,2,8,1,13,1,9,1,10,2,11,1,17,5,11,1,17,3,11,1,17,1,11,1,17,1,16,2,9,1,11,1,10,1,9,1,8,1,11,2,9,1,13,2,9,1,8,1,9,1,8,2,6,1,13,8,9,1,8,1,11,2,9,2,8,1,9,1,13,1,8,2,9,1,8,3,9,2,7,1,9,1,11,1,9,1,11,2,17,2,8,2,9,1,13,1,8,1,26,1,27,5,26,2,25,1,29,3,30,9,29,1,30,2,29,1,30,3,28,2,30,1,28,1,30,4,28,9,30,1,28,7,30,1,7,1,30,2,29,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,29,1,30,3,6,2,7,1,6,1,7,1,6,1,13,2,8,1,11,1,17,14,16,2,9,2,10,1,8,1,9,1,13,1,8,1,13,1,7,1,13,3,9,1,13,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,13,3,6,1,13,2,8,1,13,1,30,1,13,2,7,1,13,9,9,1,13,1,8,1,9,4,13,1,9,1,13,2,7,4,6,1,13,1,30,1,13,2,6,3,30,1,6,2,13,1,6,2,13,1,6,1,13,1,6,1,13,1,7,2,6,3,13,1,6,1,7,1,6,2,7,1,6,2,7,2,13,1,6,1,13,1,29,1,6,1,13,1,30,1,7,1,13,4,6,1,13,2,7,1,6,4,7,2,6,5,7,2,30,3,13,2,6,1,13,1,6,1,7,1,6,1,30,1,13,1,6,1,7,1,6,1,29,2,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,2,7,1,6,1,30,2,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,4,28,2,30,1,28,2,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,3,30,2,6,1,28,2,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,3,28,3,30,1,28,1,30,1,28,3,30,1,28,18,16,1,17,1,16,1,11,1,6,1,30,1,6,2,30,1,28,13,29,2,7,1,13,2,8,1,7,1,8,1,11,1,17,1,30,1,28,6,30,1,29,1,8,1,6,1,28,31,6,1,28,10,30,1,8,1,28,4,30,1,17,1,9,1,30,1,28,5,30,1,28,1,29,1,8,1,16,1,17,1,13,1,28,6,13,1,28,7,}, {30,1,12,1,30,1,28,46,30,1,28,5,30,1,6,1,9,1,12,1,9,1,7,1,6,1,30,2,29,1,13,1,17,1,9,1,13,1,8,1,13,1,24,1,13,1,17,2,11,1,17,1,16,2,17,1,16,1,9,1,13,2,28,3,30,1,28,1,29,1,13,1,8,1,6,2,30,1,6,1,30,1,6,1,13,1,17,1,11,1,17,1,11,1,8,1,13,2,7,1,6,1,13,1,9,1,11,1,9,1,16,1,11,2,9,1,13,1,28,1,30,1,29,1,6,1,8,1,7,1,28,38,8,1,13,1,9,3,30,1,28,5,13,1,16,1,17,5,11,1,16,1,11,2,9,3,13,1,6,3,7,1,30,1,13,2,6,1,13,1,8,1,9,1,10,1,9,1,17,1,11,1,16,1,17,1,16,1,13,1,28,17,13,1,17,27,12,1,17,4,12,1,17,1,10,1,9,2,11,1,9,3,10,1,9,1,8,1,9,2,8,1,24,1,13,1,9,4,11,2,16,1,10,2,12,1,11,3,10,1,9,2,8,3,7,1,8,1,13,1,9,1,11,1,12,1,24,1,7,2,13,1,6,6,29,1,13,1,7,1,29,1,13,1,7,1,8,1,24,1,12,5,10,1,17,1,12,1,17,1,12,1,17,1,8,1,24,1,8,2,9,5,10,1,9,1,11,1,9,2,11,1,9,1,12,1,17,1,11,1,10,1,11,3,16,1,12,1,17,1,9,1,16,1,12,1,11,2,17,1,16,1,11,1,17,1,8,1,10,1,17,1,9,1,17,1,11,1,10,1,9,1,11,1,17,1,16,1,11,1,12,1,17,1,11,1,17,29,11,1,17,1,11,1,17,61,11,1,17,1,11,1,12,1,10,1,9,3,10,1,9,1,10,2,9,1,10,1,13,1,8,2,13,1,8,1,9,1,13,6,6,1,9,1,8,1,13,2,8,1,9,1,13,1,9,1,13,2,8,1,9,1,8,1,12,1,11,1,8,3,13,1,24,1,13,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,8,5,13,1,9,1,8,2,9,1,8,1,11,1,9,1,10,1,12,1,17,3,12,2,17,19,13,5,6,1,13,7,9,1,13,2,8,1,13,7,9,1,17,1,11,1,17,19,12,2,9,1,10,1,11,1,9,4,13,3,24,1,8,1,13,3,6,1,7,1,6,1,8,1,13,1,7,1,29,1,6,1,7,1,8,1,13,1,9,1,13,1,7,1,13,3,7,2,13,1,7,2,13,1,7,1,13,3,6,1,7,1,13,1,7,1,13,1,6,1,13,1,7,2,6,1,24,1,13,1,7,1,8,2,13,1,7,1,6,1,8,1,13,2,6,1,7,1,13,2,8,1,7,2,6,2,13,1,6,1,13,1,6,2,7,1,6,2,24,1,13,3,7,1,13,2,7,1,13,1,8,1,13,1,8,3,13,1,7,1,13,6,7,1,9,1,13,2,9,1,8,1,13,1,7,1,8,1,13,1,7,1,8,1,13,5,8,1,24,1,8,1,24,2,10,2,9,1,11,1,10,2,12,1,10,1,11,1,12,1,17,10,12,1,17,45,12,1,10,1,9,2,13,1,8,1,13,1,8,2,13,1,8,3,13,1,30,4,6,2,29,1,6,2,30,1,6,2,29,2,13,1,30,2,29,1,7,1,13,3,6,2,13,1,6,1,13,2,24,1,15,1,17,4,24,1,8,2,24,1,6,1,7,1,13,3,17,3,12,1,9,1,11,1,9,1,17,1,8,1,29,1,6,2,29,1,28,4,30,3,6,1,30,4,7,1,17,16,12,1,17,1,11,1,17,1,11,1,17,1,9,2,11,1,9,1,11,1,9,2,17,1,12,1,17,1,10,1,8,2,9,1,24,1,8,1,24,1,9,1,13,1,8,2,9,1,13,1,9,1,8,2,24,1,13,1,24,1,8,1,13,1,24,1,13,1,8,4,9,2,7,1,28,7,30,1,28,5,30,2,29,1,6,1,30,1,29,1,6,2,30,3,6,1,30,1,28,1,30,1,29,1,6,1,28,1,29,1,28,1,6,1,28,1,30,5,28,1,30,2,28,2,6,1,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,3,28,2,30,5,28,4,29,1,30,2,28,1,6,1,30,1,6,1,30,4,29,1,30,1,29,1,30,5,29,1,6,1,28,1,30,2,29,1,30,2,28,1,30,5,28,1,30,1,6,1,7,1,30,2,6,1,28,1,30,1,28,3,30,1,28,1,29,1,28,1,30,1,6,1,30,3,28,2,30,1,6,1,30,7,28,1,30,2,28,1,30,3,28,1,30,4,28,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,6,1,30,1,6,1,30,3,6,1,30,3,28,5,30,1,28,3,30,2,28,3,30,1,13,4,28,1,30,3,6,1,30,2,28,2,30,1,28,1,30,1,28,4,30,3,28,1,29,1,6,1,28,1,30,1,28,3,30,2,28,2,30,1,6,1,30,2,6,1,13,1,6,2,28,3,30,4,28,1,13,1,30,1,28,2,30,1,28,1,6,1,28,1,6,1,30,1,6,1,28,1,30,2,28,4,30,1,28,2,30,1,28,4,30,2,28,1,30,1,28,1,30,1,28,12,30,1,28,1,30,1,28,11,30,1,28,5,7,1,13,1,30,1,28,11,30,1,28,4,30,1,28,2,6,1,30,2,28,1,30,2,28,1,13,2,28,1,30,2,28,2,30,1,6,4,30,2,6,1,30,5,28,1,6,1,28,1,30,3,28,5,6,1,30,1,28,4,30,1,28,9,30,1,28,1,30,5,28,1,30,1,28,1,30,2,28,2,30,2,6,1,30,2,28,1,30,2,6,1,30,1,28,1,30,1,28,4,30,1,28,6,30,1,28,2,30,4,28,1,30,2,28,1,7,1,30,3,28,4,30,1,28,7,30,1,28,6,30,1,28,1,6,1,28,2,30,1,28,3,30,1,28,5,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,6,1,28,1,30,1,28,1,30,3,6,1,30,3,13,2,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,28,4,6,1,30,3,13,1,28,1,6,2,9,1,28,19,29,1,9,2,13,7,8,2,9,1,17,1,10,1,12,1,10,1,12,1,10,1,8,2,24,1,10,1,12,1,9,2,8,1,17,1,8,2,9,2,8,1,9,1,8,1,10,1,11,1,9,1,8,1,9,1,13,1,8,1,9,1,13,2,9,2,17,1,11,1,17,2,11,1,13,2,9,3,10,1,11,2,10,1,11,2,9,1,11,1,8,1,9,2,13,2,10,1,24,3,6,1,29,1,27,1,29,1,30,1,27,1,29,1,28,1,29,1,30,2,28,2,30,1,29,1,28,2,6,1,28,2,30,1,28,1,17,1,13,1,6,1,13,1,7,2,13,1,6,7,30,2,7,1,30,2,6,3,30,6,28,2,30,1,28,1,30,2,6,1,30,2,6,1,30,1,8,2,7,1,8,1,13,1,8,1,13,2,9,1,8,1,9,1,8,1,10,1,9,1,16,1,9,2,10,1,8,1,9,1,11,1,9,6,8,1,13,1,8,1,9,1,13,1,9,1,13,2,7,1,6,1,30,3,28,2,29,1,30,1,6,1,28,2,29,1,28,1,6,1,28,1,30,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,8,30,1,28,4,30,2,28,8,30,1,28,6,30,1,28,2,30,2,28,1,30,1,28,1,6,5,30,1,6,6,13,1,6,1,13,2,6,1,30,1,6,3,30,1,6,1,7,1,6,2,30,1,6,1,30,3,6,1,30,1,28,1,6,1,29,1,30,3,29,3,30,3,29,1,6,1,13,1,7,1,6,1,13,1,6,1,13,3,9,1,13,5,8,1,13,5,9,1,8,1,13,1,10,1,11,1,12,1,17,1,9,1,8,1,10,1,17,1,9,1,11,1,9,3,10,1,9,2,17,8,10,1,11,3,17,2,12,1,9,2,10,1,8,1,9,1,13,1,9,2,10,1,9,1,13,1,9,1,8,2,10,1,8,1,9,2,8,1,9,1,8,2,9,3,11,1,9,1,17,6,16,1,17,2,11,1,17,2,16,1,11,1,17,1,9,2,11,1,9,2,11,1,9,2,8,1,9,2,8,1,9,1,8,3,13,1,8,1,13,6,9,3,8,1,13,1,9,2,13,1,8,4,13,1,8,3,10,1,9,3,10,1,9,2,17,2,11,1,8,1,13,1,8,1,7,1,26,1,27,4,26,1,27,1,25,1,29,1,27,2,29,3,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,1,29,2,30,2,28,9,30,1,28,9,30,2,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,6,1,7,1,6,2,13,1,6,1,13,1,8,1,9,1,11,1,17,16,16,1,9,5,13,1,8,2,13,1,7,1,13,1,7,1,9,1,6,1,13,3,29,1,13,1,6,2,29,1,6,2,13,1,7,1,8,1,7,1,13,9,6,2,13,5,9,1,13,1,9,1,10,1,9,1,13,1,8,1,13,2,9,1,8,1,13,2,6,1,8,1,13,2,7,1,6,1,13,3,8,1,13,3,30,1,13,2,6,2,7,1,6,3,7,1,30,1,13,1,6,1,29,1,6,2,13,2,30,1,13,4,6,2,29,1,7,1,13,1,30,1,13,1,6,2,13,4,29,1,7,1,13,1,6,2,7,1,30,1,6,3,30,1,13,1,30,1,8,1,30,1,29,1,7,1,6,1,30,1,13,1,6,3,13,1,30,1,13,2,6,2,30,1,29,2,30,1,6,1,30,1,6,1,13,1,7,1,13,1,6,1,30,1,7,1,30,2,29,1,30,1,29,2,30,3,6,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,6,30,1,28,13,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,3,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,1,6,1,28,3,30,3,28,7,30,2,28,2,30,1,28,15,17,3,13,2,6,1,30,3,28,10,30,1,28,3,6,1,13,1,7,1,6,1,29,1,9,1,11,1,10,2,9,1,28,4,30,1,28,2,17,1,7,1,13,1,30,1,28,42,13,1,28,4,30,1,17,1,11,1,29,1,28,5,30,1,29,1,13,1,8,1,12,1,17,1,8,1,28,6,13,1,28,7,}, {28,1,16,1,13,1,28,53,6,1,9,1,17,1,11,1,8,1,13,1,6,1,29,1,28,1,7,1,8,1,9,1,13,2,8,1,9,1,12,1,11,2,17,3,16,4,8,1,30,1,28,1,30,1,28,3,30,1,8,1,9,1,13,1,28,2,30,1,13,1,28,1,13,1,17,1,16,1,17,1,11,1,16,1,13,3,8,3,11,2,8,1,16,1,10,1,9,1,13,1,30,1,6,2,29,1,8,1,30,1,28,38,13,1,8,1,24,1,9,1,8,1,28,4,30,1,28,1,30,1,12,1,17,6,16,1,12,1,11,1,9,3,30,1,6,3,28,1,13,1,7,1,8,1,6,1,13,1,6,1,9,1,11,2,17,5,6,1,28,17,13,1,17,31,12,1,17,2,11,3,9,3,8,1,9,2,10,1,9,4,11,1,9,1,12,2,17,4,12,3,10,1,9,2,24,1,9,1,11,1,8,1,24,1,13,1,8,1,6,1,13,1,9,2,12,1,10,1,7,1,8,1,7,1,6,4,13,1,7,1,13,1,6,1,7,2,8,1,13,2,24,1,12,1,17,4,12,1,17,2,12,1,17,1,9,1,10,1,9,2,8,1,24,1,9,2,10,1,11,1,10,2,9,1,12,2,9,1,11,2,9,1,16,1,11,1,9,1,16,1,11,1,9,2,16,1,9,1,11,1,12,1,9,1,16,1,10,2,9,1,10,2,11,1,12,1,9,2,10,2,9,1,10,1,11,1,12,1,17,2,16,1,17,12,16,1,17,17,16,1,17,58,12,1,17,4,12,1,17,2,9,1,12,1,11,1,9,3,8,2,13,1,9,1,8,1,9,1,8,4,13,1,8,1,13,3,8,1,7,1,13,2,6,1,13,3,8,1,9,1,13,4,8,1,9,4,8,2,13,1,8,1,9,1,8,2,9,1,8,1,13,2,8,1,13,4,8,1,9,2,13,1,8,1,9,1,8,1,9,2,12,1,17,1,12,1,11,1,12,1,17,23,9,1,8,1,6,1,13,1,8,1,13,1,9,3,11,1,12,1,17,1,9,1,12,2,9,2,11,1,9,1,11,1,9,2,8,1,11,1,17,20,11,1,10,1,12,1,9,3,10,1,9,1,8,1,9,1,8,1,13,1,8,2,13,1,8,1,13,2,8,1,13,2,7,2,13,5,29,1,13,2,29,1,30,1,7,1,13,1,6,1,13,2,6,1,13,2,7,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,6,2,13,1,7,1,6,1,13,1,7,1,6,2,29,1,13,2,7,1,6,1,13,1,29,1,8,1,6,1,13,1,7,3,6,1,13,1,7,1,13,1,7,4,13,1,7,2,6,2,7,2,13,2,24,1,8,1,13,4,7,1,13,3,8,1,13,2,6,2,13,1,8,2,13,1,8,1,13,1,8,1,7,2,8,1,24,1,8,1,7,1,6,1,13,1,6,1,8,1,9,1,13,4,9,1,10,1,11,1,9,1,10,4,9,2,10,1,17,1,11,1,17,1,12,2,17,8,11,1,17,43,12,1,11,1,9,1,8,1,13,1,8,2,13,2,8,1,13,2,24,1,9,1,29,1,28,1,30,2,6,1,29,1,6,2,13,1,6,1,29,1,13,1,6,1,29,2,6,1,30,1,29,1,30,1,6,2,7,1,13,2,7,1,6,1,7,1,13,1,10,1,24,1,17,3,15,1,24,1,8,2,24,1,13,1,7,1,13,2,29,1,17,3,9,1,8,1,11,1,10,1,17,1,9,1,30,4,28,4,6,6,30,1,13,1,9,1,17,2,11,1,17,13,11,1,12,2,10,1,17,1,11,1,10,1,11,2,10,1,9,2,11,1,17,2,8,1,11,1,13,1,9,1,8,1,24,1,13,1,9,1,8,2,11,1,24,1,7,1,8,1,13,4,8,1,24,2,13,1,24,1,8,1,9,2,8,2,24,1,9,1,13,1,30,1,28,8,30,4,28,2,29,1,7,1,6,2,13,2,30,1,29,1,30,7,28,1,29,1,28,1,29,1,30,3,28,1,30,2,28,4,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,3,30,1,28,1,30,2,28,1,30,5,28,1,29,1,30,2,28,1,29,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,13,1,6,1,30,2,6,1,28,1,6,1,30,4,6,2,30,1,6,3,29,1,30,6,28,3,30,1,28,1,30,1,13,1,6,1,28,2,30,1,28,3,30,1,28,4,30,3,6,1,30,3,29,1,28,1,29,1,30,1,28,1,30,2,28,1,30,1,6,2,30,5,6,1,28,1,30,5,28,5,6,1,30,3,28,3,6,3,30,1,7,1,30,1,6,1,30,1,29,1,6,1,30,1,28,2,30,2,28,1,6,1,28,1,30,1,28,1,30,1,6,1,28,2,13,3,6,1,28,3,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,5,30,3,6,1,28,1,30,4,29,1,30,4,28,1,6,1,13,1,6,1,13,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,3,28,3,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,6,30,3,28,2,30,1,28,6,30,1,28,7,30,1,28,5,30,1,28,3,30,1,6,2,28,6,30,1,28,2,30,1,28,3,6,1,30,1,28,4,30,1,28,2,30,1,28,4,8,1,30,1,28,2,30,5,6,2,29,1,30,4,6,1,30,5,28,1,30,1,6,1,30,1,28,4,13,1,6,1,30,1,28,2,30,1,28,9,30,1,28,3,30,1,28,1,30,1,28,1,30,3,28,5,30,1,6,1,30,2,28,1,30,1,28,2,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,3,6,1,28,1,30,1,28,1,30,2,28,2,6,1,28,7,30,1,28,2,30,1,28,2,30,4,6,1,29,1,30,3,28,1,30,3,28,3,30,1,28,7,30,4,28,2,30,1,28,3,6,1,28,2,13,1,30,3,29,1,28,1,30,1,6,1,30,1,28,4,30,2,6,1,30,1,7,1,13,2,6,1,30,2,28,3,30,1,28,2,30,2,28,1,30,1,28,3,30,2,28,1,30,1,6,1,28,1,6,2,13,1,28,3,30,2,28,11,30,1,28,2,6,1,9,2,8,1,13,1,8,1,13,1,8,2,9,1,8,1,9,1,10,1,12,2,24,1,12,2,8,1,24,2,29,1,8,2,24,1,10,1,24,1,9,1,8,1,13,1,10,1,9,1,8,1,9,1,13,1,11,1,9,1,13,1,9,1,13,6,9,1,10,1,17,1,12,1,9,1,10,1,11,1,9,1,10,1,9,2,13,1,11,1,12,1,10,2,12,1,17,2,11,1,10,1,8,1,13,1,8,1,9,1,24,1,9,2,8,1,25,1,29,1,27,1,25,1,27,1,29,1,30,1,28,1,29,2,28,1,29,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,17,1,13,2,7,1,6,2,13,1,6,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,2,30,6,28,2,30,1,28,2,30,2,29,1,6,3,11,1,13,3,9,1,8,1,13,1,8,1,13,1,8,1,9,9,11,1,9,1,8,1,13,1,9,1,8,1,9,1,8,3,9,2,8,1,9,1,6,1,13,3,30,2,28,1,30,1,29,1,28,1,29,1,28,3,6,1,28,2,29,1,6,1,28,1,30,3,28,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,3,30,1,28,6,30,3,28,1,30,5,6,4,30,1,6,2,30,1,13,1,29,1,6,1,13,2,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,3,29,1,6,2,30,1,28,1,30,2,29,1,6,2,29,1,30,1,29,1,30,1,28,2,30,3,6,2,13,1,30,2,13,2,6,1,13,2,10,1,8,2,9,1,13,2,9,1,8,1,13,1,8,1,13,2,9,1,8,1,9,2,13,1,8,1,9,1,10,2,12,1,9,1,11,1,9,1,11,1,9,1,10,1,9,2,11,1,10,1,17,2,11,1,17,5,11,1,17,3,10,1,9,1,17,1,9,3,11,1,13,1,11,1,10,1,8,1,9,1,13,1,9,2,13,1,10,1,9,2,8,1,9,3,8,1,9,6,11,1,17,8,12,1,17,1,12,1,17,1,11,2,16,1,10,1,11,1,12,2,9,2,10,1,9,2,10,1,8,1,9,2,8,1,13,2,8,1,13,1,8,1,13,2,8,1,13,2,10,1,8,1,9,1,10,1,9,2,13,1,12,1,8,1,13,1,8,1,13,1,9,1,8,3,9,2,11,1,16,2,11,1,17,2,11,1,13,2,24,1,6,1,26,3,27,1,26,1,27,2,25,1,29,2,27,2,29,3,27,1,30,1,29,1,30,1,29,2,30,3,28,5,30,5,29,1,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,1,7,1,29,1,6,4,29,1,6,3,29,1,30,1,6,2,30,1,28,1,30,1,13,1,9,1,12,1,17,18,16,1,9,2,10,1,8,3,9,1,8,1,13,2,6,1,7,1,9,1,13,1,6,1,13,1,30,1,13,1,29,1,13,2,6,1,7,2,13,4,8,1,7,1,13,2,7,1,13,1,6,1,8,1,6,1,13,7,8,1,13,1,7,1,11,1,9,2,8,1,9,2,13,1,8,1,13,3,6,1,13,1,6,1,13,1,7,1,13,1,6,1,30,1,13,1,6,1,7,2,8,1,29,1,13,2,6,1,13,1,29,1,13,1,6,1,13,1,30,1,13,1,6,2,13,4,6,1,13,1,6,1,13,3,7,1,6,1,13,1,6,3,7,1,6,1,13,1,6,1,13,6,7,2,6,1,13,1,7,1,30,1,6,2,13,1,30,2,13,1,7,1,13,1,7,2,6,3,29,1,6,2,7,1,28,1,30,1,6,3,29,1,30,1,29,1,6,1,30,3,6,1,30,1,6,1,30,1,6,2,30,3,28,4,30,3,29,1,30,2,28,3,30,3,28,2,30,1,28,4,30,1,28,2,30,1,28,4,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,5,30,1,28,11,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,1,30,3,6,1,28,15,16,1,17,1,11,1,9,1,8,1,30,2,28,1,30,1,28,12,30,1,28,1,29,1,6,1,13,1,8,1,13,1,8,1,9,1,17,1,12,1,30,1,28,7,8,3,28,42,6,1,7,1,28,4,8,1,17,1,9,1,6,1,30,2,28,3,29,1,6,2,11,2,17,1,6,1,28,5,30,3,28,6,}, {29,1,8,2,28,52,30,1,7,1,13,1,17,1,9,1,6,1,13,1,6,1,28,2,8,1,9,1,8,1,29,1,30,1,8,1,13,1,12,1,11,1,16,2,11,1,16,1,17,1,11,1,17,1,16,1,13,1,29,1,28,5,29,1,7,1,8,1,13,1,30,2,6,1,30,1,28,1,10,1,17,2,11,2,9,2,6,2,8,1,7,1,13,1,11,3,16,1,11,2,6,2,29,1,6,1,7,1,13,2,28,37,6,2,9,4,30,1,28,3,29,1,30,2,12,1,17,6,16,2,9,1,10,1,24,1,13,2,6,1,30,1,6,1,13,2,6,1,7,1,13,1,8,1,13,1,8,1,9,2,17,1,11,1,16,1,17,2,6,1,28,17,9,1,11,2,17,29,12,1,17,3,12,1,11,1,9,2,10,1,8,1,11,1,10,1,9,2,10,1,9,1,10,1,17,2,12,1,17,1,11,1,12,2,11,1,9,2,12,1,17,1,9,1,10,1,9,1,24,1,13,3,8,1,13,1,7,1,8,1,9,1,24,1,9,1,24,1,13,1,8,1,13,2,6,4,8,3,10,1,8,1,24,1,12,2,9,1,17,1,12,1,17,1,12,1,17,4,12,1,17,1,10,1,17,1,8,2,9,1,24,1,10,1,16,1,12,1,8,1,16,2,17,1,9,2,12,1,9,1,17,1,9,2,17,2,9,1,11,1,10,1,11,1,12,1,9,1,11,1,9,1,11,1,10,1,11,1,8,1,12,1,9,3,10,1,9,1,11,1,9,1,11,1,9,1,11,1,10,2,9,2,17,1,11,1,16,1,17,3,16,1,17,1,11,1,17,2,16,1,11,1,17,13,16,2,17,3,16,1,17,10,16,1,17,49,11,1,17,2,10,1,12,3,17,1,9,1,10,2,13,1,8,1,13,1,9,1,8,1,9,2,8,2,9,1,13,1,8,1,13,1,8,2,13,5,9,1,7,1,13,2,8,1,13,2,8,2,13,4,8,1,11,1,9,2,8,1,13,1,8,2,13,2,8,1,13,1,8,1,13,1,9,1,8,1,13,1,8,2,13,2,8,3,9,1,11,1,9,1,11,1,10,1,11,1,17,1,11,1,17,1,11,1,17,22,10,1,12,1,11,1,17,16,9,2,8,1,17,18,12,1,17,2,11,2,12,1,8,1,9,2,8,1,9,1,8,1,9,1,8,2,24,1,7,1,13,1,24,1,13,1,7,1,8,1,13,1,6,1,24,1,7,1,13,2,7,1,6,1,13,1,8,2,7,3,30,2,13,1,7,1,13,2,30,1,13,1,7,2,6,1,8,1,13,2,7,1,13,1,8,1,7,3,8,1,6,1,13,1,6,1,13,3,24,1,8,1,6,1,13,2,6,1,7,1,8,1,29,1,8,1,13,1,6,3,7,1,6,1,7,2,6,1,7,3,13,5,8,3,9,1,8,1,13,1,8,3,13,1,9,1,13,1,8,3,9,1,13,2,8,2,13,8,7,1,13,1,7,1,6,1,13,4,9,2,8,1,9,1,8,1,9,1,12,1,8,2,10,1,11,1,9,2,12,2,17,5,12,1,17,2,9,1,17,47,12,1,13,1,9,1,8,3,13,6,8,1,13,1,30,5,6,3,13,1,6,2,13,1,30,1,6,1,7,1,6,3,30,1,29,1,30,1,6,2,29,1,13,3,12,1,17,3,15,1,9,1,8,1,13,1,8,2,29,1,13,3,6,1,17,1,16,1,9,2,13,1,12,1,10,1,9,1,10,1,28,1,6,1,30,3,28,3,30,2,13,2,29,1,6,2,13,1,11,1,17,17,11,3,12,1,11,1,12,1,10,2,12,1,11,1,9,1,12,2,11,3,9,1,8,2,9,1,13,1,8,1,24,1,8,1,13,1,9,1,7,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,24,2,9,2,8,1,9,3,10,1,13,1,30,1,28,3,30,1,28,2,30,2,28,6,6,1,13,1,6,1,28,1,13,1,6,1,28,1,30,1,29,1,30,6,28,1,6,1,28,1,6,1,29,1,6,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,2,28,1,6,2,28,3,30,1,28,2,30,2,28,8,30,3,29,1,28,4,30,1,28,4,6,1,28,1,6,2,30,1,6,1,30,1,29,1,30,1,6,3,13,1,6,1,28,1,6,1,30,1,28,1,30,3,6,3,30,1,28,1,30,1,28,1,30,2,28,1,6,1,13,1,30,3,28,9,30,1,29,1,30,1,6,1,30,3,28,2,30,1,6,1,30,4,28,1,30,1,28,1,30,3,6,1,30,2,6,1,29,1,28,1,30,7,28,1,30,1,28,1,30,4,28,1,30,1,28,1,6,1,30,2,6,2,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,29,1,13,3,30,1,29,1,30,1,6,1,30,1,28,2,30,2,28,5,6,1,28,2,30,1,6,3,30,1,6,1,30,1,28,1,6,1,28,1,29,1,30,1,7,1,30,1,6,1,28,1,6,1,13,1,6,1,13,2,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,8,28,1,29,1,30,1,28,1,30,3,28,10,30,2,28,10,6,1,28,4,30,1,28,19,30,1,6,1,7,1,30,2,28,2,30,2,28,4,30,1,28,4,30,1,28,4,30,2,28,1,30,1,28,4,13,1,28,2,30,1,28,3,30,1,6,1,30,3,28,1,29,1,28,1,6,1,28,1,30,2,28,1,30,2,28,2,30,1,16,1,30,1,28,1,13,2,30,1,28,1,30,1,28,6,30,1,28,5,30,3,6,1,30,3,6,1,30,1,28,1,30,1,28,2,29,1,30,2,6,1,30,1,28,4,30,3,28,2,30,1,28,1,30,1,28,4,30,1,28,7,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,5,6,1,7,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,10,30,1,28,1,30,1,28,1,30,5,28,4,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,3,13,2,6,1,30,1,6,2,28,1,30,3,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,3,6,1,28,1,16,1,30,1,28,18,13,1,9,1,13,1,8,1,13,3,9,1,13,2,8,1,9,1,12,1,17,1,9,2,10,1,24,1,10,1,25,1,24,3,17,1,13,1,9,2,10,1,13,1,9,1,10,1,9,2,8,2,9,1,13,5,8,1,13,1,8,2,9,2,17,1,11,2,9,2,13,1,8,1,11,1,9,1,8,1,12,1,9,2,17,1,11,4,8,5,13,1,8,1,12,1,7,1,29,1,27,1,25,1,29,3,30,2,29,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,9,1,16,1,13,2,7,1,6,1,13,1,6,1,29,1,6,3,30,1,6,1,30,1,29,1,30,4,29,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,29,1,6,2,13,1,9,1,6,1,8,1,13,3,8,1,13,3,9,2,13,1,10,2,9,4,13,1,11,1,8,1,9,2,8,3,9,3,13,1,9,2,8,1,13,2,6,2,30,4,28,1,30,3,28,2,30,4,29,1,30,1,28,1,30,4,28,2,30,2,28,1,30,1,28,16,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,3,7,1,6,1,29,1,30,1,6,1,30,1,6,2,7,1,13,1,6,1,13,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,6,3,30,1,13,1,6,4,28,1,6,1,30,2,6,1,30,6,7,1,30,1,28,1,30,2,6,1,30,1,6,1,29,1,6,2,7,1,13,1,6,1,9,1,13,1,8,1,13,11,7,1,8,1,9,3,11,1,17,1,11,1,9,1,12,1,9,1,11,2,9,2,11,1,9,1,16,1,11,1,17,1,11,1,17,10,12,1,11,1,12,1,10,1,11,1,9,2,13,1,8,1,9,1,8,1,9,3,13,1,8,1,9,1,8,2,10,1,8,1,9,5,8,2,10,1,9,1,11,2,17,7,11,1,17,1,16,1,12,1,17,1,11,3,12,1,8,1,17,1,9,1,10,1,9,2,10,1,17,1,9,1,8,1,13,1,9,1,13,9,8,1,10,1,9,4,13,1,9,2,13,2,9,2,13,1,8,1,9,2,11,1,9,2,13,1,11,1,17,3,10,1,13,1,8,3,6,1,29,1,27,3,29,2,26,1,27,1,29,1,27,1,29,1,27,1,29,1,27,1,29,2,30,1,29,1,28,1,29,2,28,1,30,1,28,2,30,4,29,1,28,2,30,3,28,2,30,4,28,3,30,1,28,8,29,1,6,2,30,1,6,4,7,1,29,1,6,2,30,2,7,2,6,1,13,2,8,1,12,1,11,1,17,15,16,1,17,5,10,1,9,1,11,1,8,1,10,1,13,4,6,1,13,2,9,1,13,2,6,1,13,2,7,1,30,1,6,3,7,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,8,1,13,2,6,2,13,1,6,2,13,1,6,3,13,1,6,1,7,1,13,1,17,1,9,1,8,2,9,1,7,1,8,1,13,1,8,2,13,1,6,1,8,1,13,2,8,1,13,2,8,1,13,4,6,1,29,1,6,1,13,1,30,1,7,2,13,1,29,1,6,1,13,1,30,2,29,1,6,1,7,1,6,1,30,1,6,1,7,1,30,1,13,2,6,3,30,1,13,1,6,5,29,1,6,1,7,1,13,1,30,1,6,1,8,1,6,1,13,3,6,1,13,1,8,1,13,1,9,1,13,3,6,1,13,1,7,1,29,1,7,1,6,1,13,1,30,1,6,2,7,1,30,1,6,1,30,1,6,1,7,1,6,1,13,1,30,1,6,1,30,1,7,1,29,1,6,3,30,2,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,6,1,30,2,28,1,30,1,28,4,30,2,28,2,30,1,28,3,30,3,28,1,30,3,28,3,7,1,30,1,28,3,30,1,6,1,28,3,30,1,28,4,30,1,28,1,30,1,28,2,6,2,30,1,28,1,30,1,28,4,30,1,28,2,30,3,28,1,6,1,28,3,30,1,28,5,30,1,28,3,30,1,28,1,6,2,28,15,17,2,16,1,9,1,6,1,30,1,29,1,30,1,29,1,28,10,30,1,28,2,6,2,13,4,11,1,8,1,10,1,9,1,6,1,28,2,30,1,28,3,29,1,8,2,28,1,30,1,28,41,13,1,29,1,28,4,9,1,17,1,9,1,13,1,30,1,28,4,30,2,13,1,9,1,12,1,17,1,28,6,6,1,28,1,30,1,28,6,}, {7,1,8,1,10,1,30,1,28,48,29,1,28,3,13,2,11,1,16,1,9,1,13,1,30,1,28,1,29,1,6,1,9,1,8,1,13,1,7,1,6,1,8,1,10,1,11,1,17,5,11,1,17,1,11,1,8,1,7,1,30,1,28,2,30,1,28,1,30,1,8,1,16,1,29,1,30,1,6,2,30,2,13,1,10,1,17,1,16,1,11,2,7,1,8,1,7,1,8,1,9,1,8,2,11,1,16,1,9,1,11,1,9,1,6,3,30,1,6,1,8,1,6,1,28,37,30,1,13,1,9,3,13,2,28,1,6,1,30,1,28,2,7,1,9,1,17,6,16,2,12,1,8,1,24,1,8,1,6,1,29,1,6,1,29,1,30,1,7,1,6,2,13,1,8,1,9,1,13,1,8,1,11,2,9,1,17,3,13,1,28,17,9,1,17,35,12,1,11,1,10,1,9,3,8,1,10,1,11,1,12,1,11,1,17,1,12,1,17,1,11,1,10,1,9,1,10,1,11,1,9,1,8,1,13,1,9,1,24,1,9,1,11,1,9,1,24,2,13,1,8,2,13,1,8,1,13,1,24,1,10,1,24,1,8,1,6,1,7,1,6,1,13,2,7,1,6,2,9,2,12,1,10,2,12,2,17,1,12,1,17,9,12,1,11,2,9,1,24,1,9,1,11,1,9,2,11,1,17,1,8,1,12,1,17,1,9,1,16,2,12,1,17,1,12,1,16,1,17,1,9,1,16,1,9,1,11,1,8,1,9,1,16,1,11,1,9,1,11,2,9,1,12,1,11,1,9,1,11,1,9,1,11,1,10,1,9,2,11,1,9,1,16,1,10,1,17,1,11,2,17,3,11,1,17,8,16,1,17,16,16,1,17,1,16,1,17,2,16,1,17,7,16,1,17,3,16,1,17,39,12,1,17,2,12,1,17,1,10,1,17,1,12,1,17,5,12,1,10,2,9,3,8,1,9,1,11,1,9,2,8,1,13,2,9,2,8,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,8,2,13,4,8,3,6,1,9,1,13,1,10,1,8,1,24,1,8,1,13,1,8,1,9,1,8,1,13,3,8,3,13,1,8,1,13,1,9,1,8,3,10,1,9,1,17,1,12,1,17,28,12,1,17,4,10,1,17,23,12,1,17,10,10,1,17,2,12,1,11,1,9,1,11,1,9,1,8,1,9,1,8,1,11,1,13,1,9,1,13,2,8,1,13,1,30,1,13,1,7,1,13,2,7,1,13,4,6,3,12,1,6,1,13,1,6,2,13,1,7,1,13,3,30,1,6,2,13,1,6,2,7,1,6,1,7,1,13,1,6,1,7,2,8,1,6,3,13,2,6,2,13,1,29,1,7,1,13,3,7,1,6,1,13,1,7,2,13,1,6,1,13,4,6,1,7,1,13,1,6,1,13,2,6,1,30,1,13,2,8,1,13,3,7,1,13,1,8,1,24,1,9,1,7,1,9,1,8,2,13,1,8,1,13,1,9,1,8,1,13,2,8,1,13,1,8,1,13,2,7,1,13,1,29,1,8,1,6,1,13,5,8,3,13,1,11,1,9,1,10,2,11,1,10,1,9,2,10,2,11,1,12,1,11,3,10,1,17,1,12,1,10,1,12,1,17,1,12,1,17,1,12,1,11,2,17,1,11,1,10,1,17,41,8,1,13,1,8,1,13,6,8,3,30,2,28,1,30,2,29,1,13,1,6,2,13,1,7,1,6,2,7,1,6,1,13,1,29,1,7,1,6,1,29,1,6,1,29,1,6,1,13,1,8,1,12,2,15,2,12,1,14,1,9,1,10,1,8,1,13,1,6,1,8,1,13,2,7,1,13,1,6,1,17,1,12,1,8,1,10,1,8,1,9,1,10,1,12,1,9,1,29,1,30,1,6,1,30,1,28,2,30,3,6,1,9,1,13,1,30,1,28,1,30,1,13,1,17,9,12,1,17,7,12,1,17,1,12,1,17,1,11,1,9,1,12,1,10,1,17,1,10,1,11,1,12,2,10,1,17,1,12,1,9,1,8,2,9,3,13,1,24,1,13,1,7,2,13,1,8,1,13,2,8,2,13,1,8,1,9,1,8,1,24,1,8,1,9,2,13,1,24,1,9,2,8,1,30,1,28,4,30,2,28,2,30,2,28,1,30,1,28,1,30,2,6,1,29,1,30,1,13,2,30,5,28,2,30,1,28,1,30,1,28,1,6,1,30,3,28,1,30,2,29,1,30,1,28,12,6,1,30,1,28,8,30,3,28,2,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,3,30,2,28,4,13,2,6,1,29,1,6,4,7,1,30,2,28,2,30,7,28,1,30,2,28,2,30,1,28,2,13,1,6,1,30,2,28,7,30,1,28,3,30,3,6,1,30,1,28,2,30,2,28,1,30,3,29,1,30,1,28,1,13,1,6,1,30,1,28,1,30,1,6,1,30,1,29,1,28,2,6,1,30,2,28,1,30,1,28,1,30,4,28,3,30,2,6,1,30,2,6,1,29,4,6,1,28,1,29,1,28,1,30,2,28,4,30,1,28,1,30,1,28,2,6,1,7,1,13,1,7,1,28,2,30,2,6,1,30,1,28,1,30,1,28,2,6,1,28,4,30,1,28,1,6,2,28,3,30,2,28,4,13,1,28,1,30,1,13,2,6,1,13,2,30,1,9,1,13,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,6,1,29,1,30,1,6,1,28,1,30,1,28,2,6,1,30,1,6,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,4,30,2,28,10,30,1,13,1,28,1,30,1,28,1,30,1,28,5,30,1,28,4,30,1,28,3,30,1,13,2,6,1,28,7,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,11,9,1,30,1,28,5,30,1,6,1,13,1,6,2,30,1,28,1,30,2,28,1,30,3,28,2,30,2,28,1,16,1,9,1,6,1,30,1,28,2,30,1,28,2,30,1,28,4,30,2,28,2,30,3,28,2,6,1,30,1,6,1,28,1,30,3,28,1,29,1,30,1,28,2,30,3,28,7,30,1,28,3,30,1,28,2,30,1,28,7,30,1,28,3,30,1,28,3,30,1,6,1,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,2,30,3,13,1,28,4,30,3,28,1,30,1,28,3,30,1,28,4,30,6,28,1,30,1,28,1,30,1,28,4,30,3,6,2,28,1,30,2,28,3,30,1,28,3,6,1,13,1,9,1,6,1,28,1,29,1,13,1,30,3,28,11,30,1,28,1,30,1,28,1,30,1,28,1,30,2,8,1,13,1,28,18,6,1,9,2,8,2,13,3,9,1,8,1,9,1,11,1,12,2,24,1,12,2,24,2,8,1,24,2,10,1,8,1,13,1,9,2,10,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,6,1,13,2,8,1,13,1,8,1,13,3,11,2,17,1,11,1,17,1,10,1,13,1,9,3,10,1,11,1,9,3,11,4,9,3,13,2,24,1,8,1,9,1,12,1,8,1,29,3,30,1,29,1,30,1,28,1,29,5,30,2,29,1,28,6,9,1,11,1,9,1,13,1,6,4,30,1,6,3,30,2,29,1,30,1,29,1,6,1,30,2,29,1,6,2,30,4,28,1,30,1,28,1,30,1,28,3,30,2,6,1,7,1,8,2,6,2,7,1,6,1,13,2,9,2,8,2,9,3,13,1,8,1,11,1,10,1,13,1,11,1,9,2,8,5,9,1,13,1,9,1,13,1,8,1,13,1,8,3,6,1,13,1,6,1,30,1,6,1,28,2,30,1,28,1,30,4,6,1,30,1,29,1,30,1,29,1,28,1,30,5,28,1,6,1,28,1,30,1,28,5,30,1,28,3,30,1,28,7,30,1,28,2,30,2,28,8,30,6,29,2,30,1,6,1,30,1,13,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,6,4,29,1,13,1,29,1,6,4,30,1,6,1,30,1,7,1,30,1,29,1,30,5,6,1,30,1,28,2,30,3,6,1,30,1,28,2,6,5,13,2,7,1,13,2,8,3,13,1,7,1,13,1,8,1,13,1,8,1,6,1,13,2,9,1,8,2,11,1,9,2,11,1,17,1,9,1,10,1,9,3,16,1,8,1,11,1,9,1,11,1,12,1,9,1,11,1,9,1,17,1,12,1,17,6,12,1,17,1,11,1,17,1,9,1,10,2,9,5,13,1,9,4,8,1,9,5,13,1,9,6,11,1,9,1,11,1,17,5,11,1,17,1,12,1,16,1,17,1,16,1,12,1,17,1,16,1,17,1,9,1,16,1,17,1,10,1,9,1,11,3,9,1,11,1,9,1,13,1,9,1,10,1,9,1,13,1,9,1,8,1,13,3,8,2,9,3,13,1,11,2,9,1,8,1,9,1,13,1,8,1,13,1,8,2,9,1,13,1,9,3,11,1,12,1,17,3,12,1,13,3,7,1,6,1,24,1,26,1,25,1,27,2,26,1,27,1,25,1,29,1,27,1,29,1,30,1,29,2,30,1,29,3,30,2,29,1,30,2,28,1,29,1,28,3,29,1,30,1,6,1,30,2,29,2,28,3,30,6,28,1,30,2,29,1,30,1,29,1,30,1,29,1,6,1,7,2,8,1,7,1,6,1,13,1,8,1,13,2,6,1,13,1,6,1,13,1,6,1,13,3,11,2,17,18,16,1,17,4,11,2,9,1,8,1,9,1,8,1,13,1,9,1,13,3,6,1,9,1,8,1,6,1,13,1,6,2,29,1,6,5,13,2,7,1,30,1,13,1,6,1,7,1,6,2,7,1,6,1,13,1,7,1,6,2,13,3,6,1,13,1,6,1,9,1,7,1,11,2,9,2,8,1,13,1,8,3,13,1,6,1,13,2,6,1,13,5,7,1,13,1,30,1,6,1,13,2,6,1,7,2,6,1,13,2,7,1,13,1,6,1,7,1,29,1,7,1,6,1,13,1,6,1,30,1,6,3,7,1,6,1,13,1,6,3,7,1,30,1,6,1,7,1,6,6,13,2,7,3,6,1,7,1,13,2,6,1,7,1,6,2,7,1,6,2,30,1,29,1,6,3,30,1,6,4,30,1,6,1,13,1,30,1,6,1,7,1,29,1,6,2,7,1,6,3,30,1,6,1,30,1,29,1,30,1,29,1,30,1,29,1,6,1,28,1,6,1,29,1,28,1,6,1,28,1,6,1,30,3,28,3,30,1,28,1,30,1,28,1,30,2,28,3,30,2,28,2,30,2,28,1,30,1,28,3,30,1,28,1,6,1,30,2,28,1,30,1,28,9,30,1,28,2,30,1,28,1,6,2,28,1,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,16,30,1,28,16,17,2,16,1,13,1,6,1,7,1,28,2,30,1,28,11,30,2,6,2,29,1,6,1,13,1,8,1,13,1,16,1,9,2,30,1,28,6,13,1,7,1,8,1,28,43,13,1,29,1,28,4,9,1,17,1,11,1,9,1,7,1,28,4,30,2,13,2,17,2,28,7,13,1,30,1,28,6,}, {28,1,12,1,13,1,30,1,28,45,30,2,28,5,8,1,10,1,8,1,17,1,8,1,6,1,30,2,28,1,29,1,13,1,9,1,6,2,13,1,8,1,12,1,17,1,12,1,11,1,17,4,11,1,9,1,11,1,8,1,28,5,30,1,6,1,8,1,13,1,6,1,30,1,29,1,30,1,29,1,13,1,17,2,11,1,16,1,11,1,9,1,7,1,13,1,8,1,6,1,8,1,9,1,12,1,9,1,16,2,9,1,13,1,7,1,6,1,29,1,6,1,13,1,28,1,30,1,28,37,13,2,8,1,9,2,13,1,28,6,12,1,17,5,16,2,12,1,11,1,9,1,8,2,13,1,6,2,7,1,30,1,13,1,6,2,13,1,8,1,9,2,8,1,9,1,10,2,11,1,17,2,13,1,28,17,13,1,17,10,16,1,17,19,12,1,17,5,12,1,17,1,9,1,10,2,12,1,11,1,10,2,17,2,12,1,9,1,11,1,8,1,11,1,10,1,9,3,8,1,9,2,24,1,9,1,24,2,8,2,13,4,10,1,17,1,12,1,10,1,24,1,13,1,8,1,7,1,8,1,13,1,8,2,13,2,24,1,10,1,12,1,17,1,12,1,17,3,12,1,17,10,24,1,8,1,12,1,9,3,11,1,16,1,11,3,12,1,16,1,12,1,17,2,11,1,17,1,10,1,11,2,9,1,10,1,9,1,12,1,9,1,11,1,9,1,10,1,9,4,11,1,9,2,10,1,11,1,9,1,12,1,11,1,12,2,9,1,10,1,17,1,12,1,17,1,16,2,17,4,16,1,17,2,11,1,17,10,16,1,17,1,16,1,17,5,9,1,17,3,10,1,16,1,17,6,16,1,17,8,16,1,17,41,12,1,17,2,12,2,17,1,11,1,17,1,12,1,17,1,10,1,11,1,9,1,10,2,8,1,10,1,8,1,10,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,5,8,2,13,2,8,2,13,1,9,1,13,3,9,1,13,3,7,1,9,4,13,1,8,1,9,1,13,3,8,3,13,3,8,4,9,5,17,2,11,1,17,4,10,1,17,49,11,1,17,9,12,1,17,2,12,1,17,1,10,1,9,1,11,1,9,2,10,1,9,1,13,1,9,2,8,1,13,1,9,1,8,2,13,1,8,1,13,2,7,1,8,1,13,1,7,1,13,1,6,3,13,1,7,1,8,1,13,1,6,2,7,1,6,2,13,1,30,1,13,1,7,1,6,1,13,2,7,1,6,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,7,1,13,1,7,1,6,1,13,1,7,1,13,1,9,1,10,1,13,1,6,1,7,1,30,1,13,1,6,1,8,1,13,1,7,1,13,1,7,1,13,1,7,1,6,1,13,1,6,1,13,4,7,1,13,1,8,1,24,1,13,1,7,1,8,2,13,1,11,1,13,1,9,1,8,1,9,2,13,1,9,1,13,1,8,1,9,1,8,2,9,1,8,2,9,2,8,1,6,1,13,2,7,1,13,1,7,1,13,3,7,1,13,1,6,1,8,1,13,1,9,1,8,2,9,2,8,1,10,2,8,1,9,2,10,2,9,1,11,2,17,2,9,1,17,2,11,1,17,1,10,1,17,3,12,1,17,5,11,1,17,38,10,1,9,1,13,1,8,1,13,2,7,1,13,1,7,1,8,1,13,1,9,1,30,1,28,1,30,2,29,1,30,1,6,1,7,1,13,5,6,2,13,1,7,1,13,1,7,2,8,2,9,1,8,1,11,1,17,2,15,1,12,1,17,1,10,1,24,1,8,2,13,1,8,1,13,1,6,1,13,4,11,1,9,1,13,1,9,1,24,1,10,2,8,2,30,1,6,1,30,1,29,1,28,1,30,3,29,1,6,1,10,1,6,1,30,1,6,2,13,1,17,20,11,1,17,1,9,2,11,1,12,1,11,2,17,1,12,1,17,2,8,1,9,1,13,1,10,1,8,1,13,1,9,1,8,1,13,1,9,1,8,1,24,1,13,1,8,1,24,1,13,1,24,1,8,1,10,1,24,2,8,3,24,1,8,1,10,1,8,1,10,1,9,1,13,1,6,1,30,2,28,2,30,1,28,2,30,2,28,1,30,1,28,3,30,1,29,3,28,1,6,1,7,1,6,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,4,28,9,30,1,28,1,30,1,28,2,6,1,30,2,28,7,30,1,28,3,30,4,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,8,1,13,1,30,1,6,1,28,1,6,1,30,5,6,1,30,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,2,13,2,29,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,29,1,6,2,30,1,29,1,30,2,28,1,30,1,28,3,30,1,28,3,30,2,6,1,30,2,29,1,28,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,8,30,1,6,1,30,4,29,1,30,1,6,1,30,1,28,1,30,2,28,4,30,1,28,4,30,1,13,1,8,1,13,1,6,1,30,1,28,1,29,1,30,2,6,1,28,4,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,2,30,3,6,1,13,1,30,1,13,2,6,1,13,3,6,1,13,2,30,3,28,4,6,1,28,1,30,1,6,2,30,2,28,1,30,4,28,3,30,1,28,4,6,1,28,2,30,1,28,1,6,1,30,2,28,1,30,1,28,10,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,6,30,1,7,1,8,1,13,1,6,1,28,3,30,1,28,8,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,7,13,1,28,2,30,1,28,1,30,1,28,1,30,1,13,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,7,8,1,6,1,28,3,30,1,28,1,30,2,28,5,30,1,28,3,30,1,28,1,30,1,6,2,30,1,28,1,6,1,30,1,7,1,13,1,30,4,29,1,30,5,28,1,30,3,28,1,6,1,30,1,28,6,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,3,28,11,30,1,28,1,30,4,28,1,30,1,28,2,30,2,28,2,30,1,28,4,30,1,28,7,30,1,28,1,30,1,28,2,30,1,28,7,30,1,29,1,30,1,28,1,30,1,28,3,30,3,13,2,6,1,13,1,30,1,28,18,30,2,29,1,6,1,28,1,13,1,9,1,28,18,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,2,11,1,17,1,11,1,12,2,24,2,8,1,25,1,24,1,8,1,24,2,6,2,10,1,8,1,13,1,9,2,8,1,13,1,8,1,13,1,9,1,13,1,8,1,6,1,13,1,9,1,13,1,9,1,11,1,8,1,10,1,8,1,11,2,17,1,12,1,9,4,11,2,10,1,9,2,10,1,12,1,10,1,11,1,17,1,9,2,8,1,13,1,8,2,24,1,8,2,26,1,27,1,29,1,30,1,29,3,28,1,27,2,29,1,30,1,29,1,28,1,30,2,28,6,16,1,9,1,13,2,30,1,6,2,7,1,30,2,29,1,30,1,29,1,30,2,28,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,30,1,6,1,30,5,28,1,6,1,28,1,30,2,13,2,7,3,30,1,13,3,9,1,7,1,8,1,13,1,9,4,11,1,8,1,13,1,11,1,9,3,13,1,9,3,13,1,9,1,10,1,13,1,9,1,13,1,9,2,13,2,6,1,7,1,6,2,30,3,29,1,28,4,6,2,30,1,6,1,30,5,28,1,30,2,28,1,30,3,28,1,30,2,28,2,30,1,28,9,30,1,28,8,30,1,28,6,30,1,28,1,6,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,6,6,13,1,6,1,13,1,6,1,28,1,6,2,30,1,6,6,30,1,13,1,30,1,6,1,29,1,6,1,30,3,6,1,28,1,30,1,28,1,30,1,28,4,30,2,28,1,30,1,29,1,30,1,6,3,13,1,6,1,7,1,8,1,13,12,8,1,9,1,13,1,8,2,9,1,11,1,9,1,17,1,11,1,8,1,9,1,11,1,8,1,9,1,10,1,9,1,12,1,8,3,9,1,13,1,9,1,11,1,12,1,17,1,16,1,17,1,16,1,17,2,11,1,17,1,12,1,10,1,8,1,11,1,10,1,9,4,8,2,9,2,13,1,8,1,9,1,13,1,9,2,11,1,8,1,9,1,13,1,8,1,10,1,9,2,16,1,12,1,9,1,16,1,17,5,11,1,17,4,11,1,16,1,10,1,17,1,9,1,12,1,10,1,12,1,17,1,11,1,9,1,12,1,9,1,11,1,9,3,10,1,8,1,10,1,8,1,13,2,8,1,13,3,8,1,13,1,9,1,11,1,9,1,10,1,9,1,10,1,13,1,8,1,13,1,8,1,9,5,11,1,9,1,16,1,11,1,17,3,10,1,9,1,8,1,6,1,8,1,6,1,25,1,27,1,24,1,27,1,25,1,27,5,29,1,27,1,29,3,27,1,29,1,27,1,29,2,30,1,28,1,30,3,28,1,29,1,30,2,28,1,29,1,30,3,29,1,30,5,29,2,30,2,29,1,30,2,29,2,6,1,29,1,7,1,13,1,24,1,13,1,8,1,9,1,13,1,9,1,8,3,9,2,10,2,11,1,17,1,12,1,11,1,17,1,11,1,17,17,16,1,11,1,17,1,16,1,17,1,11,1,10,1,9,1,10,1,9,2,13,1,8,3,13,1,7,1,6,1,9,1,13,2,7,1,6,3,30,1,7,1,13,1,6,1,7,1,6,2,13,1,6,1,13,2,7,2,13,1,6,2,13,2,6,1,13,1,6,1,28,1,6,2,13,1,6,1,13,1,7,1,13,1,11,1,9,2,13,1,9,1,8,1,9,1,13,1,7,1,8,1,7,1,13,2,7,1,13,3,7,1,6,1,13,1,29,1,13,1,6,1,13,2,6,1,29,1,7,1,6,2,7,1,28,1,13,1,6,1,13,1,30,1,6,1,13,1,6,3,30,1,6,3,13,1,7,1,29,1,13,1,30,2,13,1,30,1,6,3,13,1,6,1,7,1,6,4,13,1,7,1,6,2,7,4,6,1,30,1,13,1,6,1,29,1,13,1,6,1,30,1,13,1,6,4,30,1,6,2,29,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,13,1,30,1,6,2,30,1,29,1,30,1,28,1,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,2,28,7,30,1,28,2,6,1,30,1,28,7,30,1,28,2,30,2,28,3,30,1,28,11,30,1,6,1,28,2,30,2,28,6,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,2,28,2,30,2,6,1,30,1,28,16,14,1,17,2,13,2,30,1,6,1,28,15,6,1,29,2,7,1,13,1,24,1,9,2,12,1,11,1,28,7,8,2,13,1,6,1,28,42,13,1,28,5,12,1,17,1,12,1,8,1,30,1,28,4,30,1,6,1,28,1,9,1,17,2,28,6,30,1,29,1,28,7,}, {28,1,10,1,8,1,28,48,30,1,28,1,30,1,28,1,30,1,13,1,9,1,17,1,9,1,13,1,7,1,13,1,29,1,28,1,6,1,9,1,8,1,13,2,29,1,24,1,11,3,17,3,11,1,16,1,17,1,9,1,12,1,13,1,30,1,28,5,6,1,13,2,28,5,6,1,16,3,11,1,10,2,13,1,6,1,13,2,8,1,9,1,8,1,9,1,16,2,9,1,13,1,7,1,28,1,13,3,7,1,28,37,30,1,24,1,8,1,11,1,8,2,6,1,28,3,30,2,29,1,9,1,17,7,9,1,10,1,8,1,9,1,8,1,13,1,6,3,30,1,6,1,7,1,30,1,6,1,8,2,9,2,11,1,10,1,9,1,11,1,17,2,9,1,30,1,28,16,6,1,17,6,16,1,17,4,16,1,17,22,12,1,17,5,11,1,12,1,17,2,11,1,17,1,11,1,10,2,9,2,8,1,9,4,13,1,9,2,24,1,9,1,8,2,13,3,7,1,8,1,9,1,12,4,9,3,8,3,13,3,7,1,29,1,13,1,9,1,12,1,17,1,12,1,17,9,12,1,17,2,10,1,9,2,24,1,9,1,11,2,16,1,11,1,9,1,11,1,12,1,11,1,16,1,12,1,16,2,11,1,16,1,11,1,9,1,17,1,16,1,8,1,11,1,9,1,10,1,11,1,9,1,16,1,11,1,9,1,11,2,9,3,10,1,12,1,9,1,12,1,11,2,9,1,12,1,11,2,12,1,16,1,10,1,17,2,16,1,17,3,16,1,17,5,16,1,17,7,16,1,17,3,16,1,17,4,11,1,17,1,16,1,11,2,17,4,12,1,17,7,11,1,17,42,12,1,17,1,12,1,17,1,12,1,11,1,10,1,17,1,9,1,17,1,9,1,10,1,9,4,8,2,9,2,10,1,9,1,8,1,9,1,8,1,13,1,8,1,13,2,8,2,13,1,8,1,13,6,6,1,8,2,13,3,9,1,13,3,6,1,13,1,8,1,9,2,13,1,7,1,8,1,13,1,9,1,13,2,8,4,13,2,8,1,13,1,8,1,9,2,12,1,17,2,9,1,17,1,12,1,17,2,12,1,17,34,12,1,17,26,11,1,17,1,11,1,12,1,11,1,10,1,17,1,10,1,8,1,9,1,8,1,10,1,9,1,13,1,9,1,8,3,13,6,7,1,6,2,13,1,7,1,6,1,13,1,6,1,13,2,6,3,13,1,7,1,13,1,7,1,13,2,7,1,6,3,7,1,6,1,7,1,6,1,29,1,7,1,6,2,13,1,29,1,6,1,7,1,13,1,30,1,13,1,7,1,30,1,7,1,8,1,13,1,7,1,13,2,6,2,13,1,7,1,6,2,7,1,6,2,7,1,13,1,7,1,8,1,13,2,6,1,13,2,7,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,8,2,13,1,9,1,8,1,13,1,9,1,13,1,8,2,13,5,7,1,13,1,8,1,6,1,7,1,13,2,6,1,13,1,8,1,7,1,13,1,6,2,8,3,13,1,8,1,24,1,8,1,24,1,9,1,8,1,9,1,12,1,9,3,10,1,9,1,12,1,11,1,17,1,12,2,11,1,12,1,11,1,9,1,17,2,11,1,17,1,10,1,17,1,16,1,17,1,16,1,9,1,17,39,9,2,13,7,7,1,9,1,6,1,28,1,30,1,28,1,30,1,6,1,29,1,7,1,6,1,13,2,6,1,13,1,8,2,7,1,8,1,13,1,8,2,9,1,10,1,12,1,15,1,17,1,15,1,17,1,15,1,12,1,10,1,24,1,8,4,7,1,6,1,13,3,7,1,13,1,15,1,24,1,7,1,8,1,9,1,24,1,8,1,11,1,10,1,13,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,13,1,9,1,28,1,6,2,30,1,9,1,17,1,12,1,17,14,11,1,17,1,11,1,17,1,11,2,17,1,9,1,17,1,10,1,11,1,17,1,12,1,17,1,11,1,10,1,8,2,13,1,9,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,13,3,8,2,13,1,9,1,24,1,13,1,24,1,9,1,8,3,9,2,10,1,6,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,1,30,3,6,1,28,2,30,1,6,1,30,3,28,2,30,2,28,2,30,4,28,2,6,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,8,30,1,28,3,30,2,28,5,30,1,28,1,30,1,28,2,30,4,9,1,30,4,6,1,30,1,6,3,28,1,30,3,28,1,30,2,28,1,30,3,28,3,30,2,6,1,13,1,6,2,30,2,28,3,30,1,28,1,30,1,28,2,30,9,28,1,6,1,30,2,28,1,30,4,28,1,30,2,6,1,30,3,28,1,30,1,28,1,30,4,28,2,30,1,28,2,30,1,28,1,30,1,28,4,30,1,29,2,6,2,30,1,6,1,29,1,28,1,6,1,30,1,28,2,30,2,28,2,30,1,28,3,30,1,28,1,6,1,13,2,30,1,28,2,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,29,1,28,1,30,1,28,2,6,4,7,1,6,1,13,1,30,2,6,3,13,2,30,1,6,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,2,30,2,28,1,29,1,30,3,28,1,30,2,28,8,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,10,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,6,1,30,1,28,3,6,2,13,1,8,1,13,1,9,1,6,1,13,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,7,30,1,28,12,30,1,28,2,13,1,29,1,28,2,30,1,28,1,30,5,28,1,30,1,28,1,30,3,28,3,30,1,28,4,30,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,28,10,30,1,6,1,30,1,6,2,29,1,30,1,29,1,30,5,28,1,30,4,28,1,30,2,28,3,30,1,28,3,30,1,28,8,30,3,28,1,30,1,28,1,30,2,6,1,30,1,28,2,30,2,28,1,30,2,6,1,28,3,30,1,28,1,30,1,28,1,30,1,28,5,30,3,28,1,30,1,28,1,30,1,28,4,30,2,28,6,30,1,28,1,30,3,28,1,30,1,29,1,28,1,30,1,28,2,30,1,28,4,30,6,28,2,29,1,28,4,30,2,28,1,6,1,13,1,6,1,30,1,6,1,28,19,30,2,13,1,28,1,29,1,9,1,13,1,28,17,13,1,8,1,9,1,8,1,13,1,9,1,13,1,8,2,9,1,11,1,12,1,17,1,12,1,9,1,24,7,8,1,6,1,29,1,9,1,8,1,13,1,8,1,9,1,13,1,9,1,11,1,8,1,9,1,13,4,9,3,8,1,9,1,8,1,9,1,8,1,11,2,10,1,17,1,9,4,11,1,10,2,9,2,12,2,11,1,9,2,8,2,13,3,24,3,27,1,29,3,30,1,29,1,30,1,29,5,6,1,30,1,29,1,30,1,28,6,16,1,13,1,6,2,30,1,6,1,30,2,6,1,30,8,29,1,30,2,6,1,30,6,28,1,30,6,6,1,13,1,29,1,13,1,28,1,6,1,13,1,30,1,13,2,7,1,8,2,13,2,8,1,13,1,9,3,11,1,8,1,10,1,9,4,8,1,9,1,13,1,8,1,9,1,8,1,9,2,16,1,8,2,13,1,8,1,13,3,6,3,30,1,6,1,30,1,28,2,6,1,30,1,6,1,7,1,30,1,6,1,30,2,6,1,30,1,29,1,28,2,30,2,28,2,29,1,30,1,28,2,30,1,28,6,30,1,28,9,30,1,28,2,30,1,28,2,30,2,28,4,30,1,28,1,30,1,6,1,30,2,6,9,7,2,6,3,30,1,29,2,6,1,30,1,7,1,6,4,30,1,6,2,30,6,28,1,30,3,28,1,30,3,28,4,30,2,29,1,13,1,7,1,13,1,6,1,13,1,8,1,13,3,6,1,8,1,13,1,7,1,13,6,9,4,10,1,11,1,12,1,9,1,8,1,11,1,10,1,9,3,13,1,8,2,9,1,8,2,10,1,9,2,11,1,9,1,12,2,16,1,17,2,9,1,10,1,9,1,11,1,12,1,9,2,8,1,9,6,10,1,9,1,8,1,9,2,8,1,9,2,8,1,9,6,11,1,10,1,12,2,17,10,16,1,17,1,16,1,17,1,11,4,17,2,11,1,16,1,11,2,12,1,8,1,9,1,11,1,9,1,11,1,9,3,8,1,13,1,9,1,8,1,9,1,11,1,9,3,10,1,9,5,8,1,9,2,10,1,9,2,10,1,11,1,17,1,16,1,12,1,17,3,9,1,13,1,6,1,13,1,7,2,25,1,8,1,25,2,26,2,27,3,29,4,30,2,27,1,29,1,30,2,29,2,30,1,29,1,30,1,29,1,28,1,30,1,28,1,29,1,28,1,30,3,6,1,30,2,29,1,30,4,29,2,30,1,29,1,30,1,29,1,6,1,13,1,7,1,13,2,9,3,11,1,12,1,17,1,11,1,12,1,11,1,17,27,11,1,17,1,11,1,17,2,11,2,9,4,8,1,13,4,7,1,13,1,9,1,13,1,6,3,13,1,6,2,13,1,6,2,7,1,6,1,13,1,30,1,13,1,7,1,6,1,13,1,6,2,13,3,30,1,6,1,13,1,7,1,8,1,7,1,13,4,6,1,9,1,11,1,9,2,11,1,9,1,13,2,7,1,13,1,9,1,13,3,29,1,13,2,6,1,7,1,6,2,30,1,13,1,6,1,13,1,6,1,13,1,6,4,13,1,6,1,13,2,6,1,13,2,6,1,13,1,7,1,30,1,13,1,6,2,8,1,13,2,6,3,7,1,13,2,6,2,7,1,6,1,7,1,29,1,6,2,7,1,6,10,30,1,29,1,6,1,7,1,30,2,13,1,6,1,13,1,6,2,29,1,6,2,13,1,29,1,6,1,30,1,28,1,7,1,6,4,30,1,28,1,6,1,13,1,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,6,1,29,1,28,1,30,1,6,1,28,2,30,1,28,1,30,2,6,1,28,7,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,2,29,1,28,6,30,1,28,1,30,3,28,10,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,16,17,2,11,1,7,1,30,1,6,2,28,1,30,1,28,12,6,1,30,1,6,3,13,1,11,1,24,1,9,1,10,1,17,1,30,1,28,5,13,1,9,1,10,1,7,1,28,43,24,1,8,1,28,4,16,1,17,1,8,1,6,1,30,1,28,3,30,1,29,1,13,1,8,1,9,1,17,2,28,6,6,1,28,8,}, {30,1,8,2,28,40,29,1,28,12,6,1,9,1,12,1,11,1,8,1,7,1,28,2,30,1,28,1,9,1,17,1,6,2,30,1,8,2,17,3,11,2,17,1,16,2,11,1,12,1,8,1,30,1,28,5,6,1,8,1,13,1,30,1,6,1,28,2,6,1,7,1,11,1,17,1,11,1,16,1,9,3,13,2,8,1,13,1,9,3,10,1,16,2,7,1,6,1,29,1,6,1,13,1,8,1,6,1,28,37,30,1,6,1,24,1,9,1,10,1,13,1,7,1,28,2,30,4,8,1,17,7,9,2,8,2,9,1,6,3,28,1,29,1,13,1,30,1,29,1,6,1,9,1,8,1,9,1,8,1,11,2,9,1,16,2,17,1,16,1,6,1,28,16,6,1,11,1,17,1,11,1,9,1,8,1,13,1,9,1,10,1,11,1,17,5,16,1,17,14,12,1,11,1,17,1,12,1,17,10,12,1,17,1,12,1,9,4,10,1,11,1,12,1,9,3,24,1,9,3,8,1,24,1,8,1,13,1,8,1,13,2,24,1,17,2,12,2,10,1,9,1,10,2,8,1,13,3,6,1,29,1,6,3,7,1,6,1,24,1,12,1,17,1,12,1,17,9,12,1,9,2,24,2,9,1,12,1,8,1,9,1,10,1,9,2,10,1,17,1,11,1,12,1,10,1,9,1,11,2,9,1,16,2,11,1,9,1,11,1,9,1,11,1,9,2,8,1,10,1,9,5,10,1,11,2,9,1,10,1,11,2,17,2,9,1,11,1,12,1,11,1,16,1,11,1,16,2,11,1,17,1,16,4,17,1,11,1,17,7,11,1,16,1,9,1,16,1,17,7,16,1,17,1,16,3,17,2,16,1,17,9,16,2,17,41,12,1,17,3,10,1,17,2,11,2,9,1,17,1,9,1,8,1,9,1,8,1,9,3,13,1,10,1,8,2,9,1,8,2,13,1,8,1,13,1,8,1,13,5,9,1,13,1,7,1,9,1,8,1,13,4,9,1,8,1,13,1,8,3,6,1,13,1,8,1,13,1,9,1,10,1,13,6,8,1,13,1,8,1,7,1,9,1,8,1,13,1,10,2,9,1,12,1,11,1,17,1,11,1,17,2,12,1,17,22,12,1,17,39,12,1,17,4,11,1,12,1,17,1,9,1,8,1,9,2,11,1,8,1,9,1,13,4,24,1,8,2,13,1,6,1,7,1,13,3,7,3,6,1,7,3,24,1,13,1,6,1,7,1,13,2,30,1,13,1,7,1,13,2,6,1,13,1,6,1,30,1,13,1,6,1,29,1,6,1,29,1,13,1,6,1,30,1,6,1,29,1,13,1,6,1,7,2,6,1,7,1,8,1,13,1,7,2,6,1,13,3,7,1,13,1,7,1,24,1,7,1,6,1,7,4,6,1,13,2,8,1,13,1,7,1,8,1,13,1,9,1,10,1,9,1,10,2,17,1,9,1,8,1,9,5,13,1,9,1,8,1,13,2,9,2,13,2,9,1,13,5,7,1,13,1,7,1,13,4,6,1,13,3,8,1,13,2,9,1,8,1,9,1,8,1,12,1,8,1,12,1,9,1,11,1,9,2,10,2,11,1,12,1,9,1,17,1,11,1,12,1,17,6,12,1,11,2,10,1,11,1,17,2,11,1,12,1,17,23,10,1,12,1,17,10,12,2,9,1,7,2,13,3,7,1,13,1,8,1,13,1,30,1,28,1,30,2,29,1,6,1,29,1,7,1,6,2,13,3,24,1,13,1,8,2,24,2,9,1,10,1,15,1,9,1,15,2,12,2,17,1,24,1,8,1,24,1,13,1,8,1,13,1,7,1,6,1,7,1,13,1,8,1,7,1,13,1,9,1,13,2,12,1,8,1,10,1,6,1,9,1,13,1,6,1,29,1,28,1,29,2,30,4,9,1,13,1,30,2,7,1,13,1,17,2,11,1,17,21,12,1,17,1,11,1,17,1,12,1,11,1,17,2,8,1,9,1,13,3,10,1,13,1,24,1,13,1,8,4,13,1,7,1,9,1,13,1,8,5,10,1,9,1,8,2,13,1,9,2,8,1,9,2,6,1,28,1,30,1,28,5,30,4,28,4,30,3,13,1,6,1,30,4,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,2,28,4,30,2,28,3,30,2,28,5,30,2,28,3,30,1,28,1,30,1,28,2,30,4,28,1,30,1,28,1,30,1,28,3,30,3,28,1,30,1,9,1,30,1,28,2,6,1,30,1,29,1,6,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,4,28,1,30,4,6,1,13,1,28,1,6,1,28,3,30,3,28,4,30,1,28,4,30,3,28,2,30,3,28,2,30,2,28,3,6,1,30,7,28,1,30,1,28,8,30,1,28,2,30,2,6,1,29,1,28,2,29,1,30,1,6,2,30,3,28,1,6,1,30,1,28,3,30,1,28,2,30,1,28,3,6,1,13,1,6,1,30,2,28,1,30,3,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,2,28,2,30,2,28,1,30,3,6,1,13,1,6,5,30,2,6,1,28,2,13,1,30,2,6,1,28,1,30,5,7,1,6,2,30,1,29,1,28,2,30,2,28,3,30,1,28,2,30,1,28,4,30,3,6,1,28,17,30,1,28,9,30,1,6,2,13,2,7,1,6,2,13,1,6,1,30,3,28,14,30,1,28,1,30,1,28,13,16,1,13,1,28,6,6,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,29,1,28,1,30,1,28,3,6,1,30,1,28,5,30,5,28,4,30,1,28,1,6,1,30,1,6,2,29,1,6,1,30,1,7,1,30,3,6,1,28,1,6,2,28,1,30,1,28,2,30,1,28,1,30,2,28,1,29,1,30,1,28,1,30,4,28,1,30,2,28,2,30,1,28,1,30,2,28,2,30,2,28,2,30,1,6,1,30,1,6,1,30,1,29,1,30,5,28,12,30,4,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,9,30,1,28,1,30,1,28,13,30,1,28,1,30,1,29,1,28,1,30,1,28,7,30,1,8,1,29,1,6,1,30,1,28,13,30,1,28,1,30,1,28,2,30,3,29,1,28,1,6,1,8,2,28,15,30,1,28,1,13,1,9,1,12,1,13,3,9,1,8,1,9,1,17,1,12,1,17,1,12,3,24,1,6,1,28,1,8,1,24,2,8,1,6,1,7,1,13,1,8,1,13,2,8,1,9,1,13,3,8,1,9,1,13,2,7,1,13,1,8,1,9,2,8,1,9,2,8,1,13,1,8,2,10,1,11,1,12,1,9,2,11,1,9,1,10,1,9,1,8,1,17,1,11,4,10,1,8,1,13,1,8,1,9,2,8,1,24,1,25,1,27,3,28,1,30,1,27,1,29,1,30,1,27,1,30,1,28,1,29,2,28,1,30,1,29,1,28,2,29,1,28,3,9,1,13,1,6,1,7,1,29,1,6,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,2,6,1,30,2,6,1,28,1,30,2,28,1,6,1,28,1,30,2,28,1,30,2,28,1,13,1,6,2,13,1,29,1,28,1,13,1,30,1,6,1,13,3,9,1,13,2,6,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,9,2,10,1,13,1,8,1,11,1,13,1,8,1,13,1,9,1,13,4,7,1,9,1,6,1,7,1,13,1,6,1,29,1,30,2,28,1,30,2,28,1,6,2,13,2,6,1,7,1,6,1,29,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,17,30,1,28,9,29,1,30,6,6,1,7,1,6,3,7,1,6,1,7,1,6,2,30,1,29,1,6,2,29,2,6,1,30,1,6,4,30,1,6,1,30,1,6,1,29,1,6,1,7,1,6,1,30,1,28,5,30,2,28,1,29,1,28,1,30,1,28,1,29,1,30,1,6,2,13,1,6,3,13,2,8,2,7,1,13,1,7,1,6,1,7,1,8,4,9,2,13,1,8,2,10,1,9,2,11,1,9,4,8,1,13,1,9,3,8,2,9,4,8,1,9,2,10,1,12,2,9,1,11,3,9,4,13,1,11,1,8,1,9,1,11,1,13,1,11,1,9,1,8,2,9,8,10,1,9,6,11,1,16,1,12,1,17,9,11,2,16,1,11,2,17,1,11,1,10,1,11,1,12,1,16,1,17,1,10,1,11,1,10,1,16,1,11,1,9,1,11,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,2,9,2,10,1,17,1,9,1,11,1,9,1,8,1,11,1,9,3,8,1,9,2,8,1,10,1,9,1,11,2,17,4,10,1,8,1,6,1,13,1,7,2,26,2,25,1,27,1,26,1,25,1,26,1,27,1,25,1,26,1,27,1,29,5,27,1,30,1,29,4,30,2,29,1,28,1,29,1,30,3,28,2,30,1,29,1,30,2,29,2,30,1,29,1,30,1,29,1,30,1,28,1,30,1,29,1,8,1,7,1,13,2,8,1,13,2,9,1,11,1,17,1,11,3,12,1,17,1,11,1,17,25,16,1,17,4,16,1,17,1,9,1,11,2,8,1,9,1,13,1,8,3,7,1,6,1,13,1,9,1,6,1,13,1,6,3,13,1,6,1,29,1,7,1,29,1,13,1,6,5,13,3,7,2,6,1,13,1,6,1,13,1,29,1,13,1,6,2,8,1,13,1,7,1,13,2,8,1,11,2,9,1,13,1,8,1,6,1,8,2,13,1,7,1,29,1,13,5,29,1,6,1,7,2,6,2,7,1,6,1,30,1,6,2,13,1,6,2,13,1,7,1,30,1,7,1,6,1,7,1,13,1,6,7,13,2,7,1,13,1,6,2,29,1,6,2,30,1,29,1,7,1,6,2,13,1,29,1,7,1,6,1,29,1,6,1,7,2,6,1,7,1,30,1,6,2,7,1,6,2,28,1,6,2,13,1,6,1,30,1,6,2,7,1,6,2,13,1,6,4,7,1,6,3,29,1,13,1,29,1,7,1,6,3,30,1,6,1,30,1,28,1,30,5,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,7,29,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,2,30,4,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,3,30,1,28,6,30,1,28,2,30,1,28,6,30,1,28,1,6,1,28,8,30,2,28,2,30,1,28,1,30,1,6,1,28,16,29,1,17,3,8,1,29,1,30,1,28,1,30,1,28,13,30,1,29,1,6,1,8,2,9,1,16,1,9,1,11,1,12,1,17,1,28,6,7,1,9,1,24,1,29,2,28,42,9,1,30,1,28,4,17,2,16,1,8,1,28,1,30,1,28,3,30,1,13,1,8,1,9,1,17,1,10,1,6,1,28,5,6,1,28,8,}, {6,1,8,1,9,1,28,45,30,1,28,7,6,1,24,1,16,1,9,1,6,1,29,1,6,1,28,2,6,1,8,1,12,1,6,1,13,1,6,1,9,3,11,1,17,2,12,2,17,1,16,1,11,1,17,1,13,1,28,3,30,1,28,2,6,1,9,1,13,1,6,1,30,1,28,1,30,2,6,1,16,3,17,2,9,1,8,1,6,1,13,2,8,1,13,1,9,1,11,1,17,2,11,1,13,1,6,3,7,1,24,1,13,1,30,1,28,32,30,1,28,4,30,1,13,1,17,1,9,1,8,1,6,1,28,4,30,2,8,1,17,5,16,1,17,1,16,1,8,1,13,2,7,2,28,1,29,1,28,1,6,3,7,1,13,2,8,1,9,2,11,1,12,1,16,2,11,1,17,1,16,1,28,17,9,3,8,2,13,2,9,3,10,1,9,1,11,1,12,1,17,1,11,2,17,16,12,2,17,6,16,1,17,2,11,3,13,1,10,1,9,1,11,1,9,4,10,1,8,1,9,3,10,1,13,3,8,1,24,1,8,1,10,1,17,2,12,1,17,1,10,1,12,2,9,2,8,1,13,2,6,4,7,3,6,2,12,1,17,12,11,1,9,1,10,1,9,1,11,2,9,1,11,2,9,1,8,1,10,1,11,1,12,1,9,1,10,1,11,1,10,1,11,1,10,1,11,1,13,1,9,1,11,1,9,3,10,1,9,1,10,1,11,1,13,1,10,1,9,1,11,1,9,1,8,1,9,3,8,1,9,1,8,1,9,1,11,1,10,1,9,1,16,1,12,1,9,1,11,1,17,9,16,2,17,6,11,1,17,1,11,2,16,1,17,2,16,1,17,2,16,4,11,1,16,1,11,1,17,1,11,1,17,1,16,1,12,1,17,10,16,1,17,20,11,1,17,17,11,1,17,1,11,1,10,1,12,1,17,2,11,1,17,1,11,2,10,1,11,1,9,3,8,1,9,4,8,1,9,4,13,1,8,2,13,5,7,1,13,2,8,1,29,1,13,1,8,1,13,1,8,1,13,2,8,1,13,2,8,1,13,1,9,1,6,1,8,1,13,1,9,2,8,2,13,2,8,1,10,1,8,1,9,1,8,1,13,2,8,1,9,2,17,2,11,2,17,31,12,1,17,19,12,1,17,2,12,1,17,14,11,1,17,1,9,1,12,1,10,2,8,1,10,1,8,1,11,1,24,1,9,1,8,1,13,1,24,1,13,1,9,1,8,1,13,3,8,1,7,1,13,1,7,2,30,1,7,1,13,4,8,1,13,1,7,2,8,1,13,1,7,1,8,1,7,1,13,1,6,1,7,2,13,1,6,4,7,1,30,1,6,7,7,1,13,1,6,2,13,1,8,1,7,1,13,1,29,3,6,1,13,1,8,1,7,1,9,1,24,1,13,1,7,2,6,1,13,1,7,1,13,1,6,1,8,1,24,1,13,1,9,1,11,1,9,2,11,1,10,2,13,1,8,1,9,1,13,1,8,3,9,1,13,1,8,2,13,3,8,3,13,3,7,1,6,1,13,1,7,1,13,1,6,1,13,3,6,2,13,3,8,1,13,2,9,1,13,1,9,2,8,1,17,1,10,1,9,4,11,1,8,1,9,1,10,1,9,1,17,1,12,2,17,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,2,12,1,9,1,17,2,12,2,17,4,11,1,17,8,12,1,17,11,12,1,11,1,17,1,12,1,17,3,11,1,17,3,12,1,9,1,13,3,7,2,6,1,13,2,30,4,28,1,7,1,6,1,13,1,6,1,7,1,13,1,7,1,6,1,8,1,9,1,24,2,12,1,9,2,15,1,17,1,12,1,9,1,24,1,13,1,10,1,9,1,8,1,7,1,8,1,13,1,24,1,13,1,6,1,13,3,8,1,13,2,8,1,7,1,13,1,8,1,24,2,8,1,24,1,13,1,6,1,30,1,28,1,30,1,6,3,30,2,9,1,6,1,30,1,28,1,6,1,9,1,17,27,12,1,17,2,12,1,11,1,12,1,13,1,8,1,13,3,10,1,8,1,9,2,24,1,13,1,24,1,13,6,8,1,9,1,8,2,24,1,9,1,13,1,8,2,9,1,8,1,9,2,6,2,30,1,28,2,30,1,28,2,30,1,28,1,29,1,28,5,6,1,28,1,29,1,6,1,28,1,30,7,29,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,4,30,1,28,2,30,2,28,2,30,4,28,5,30,3,28,1,30,2,28,1,30,1,28,1,6,1,30,1,28,3,30,3,28,1,30,2,28,1,30,2,16,1,30,2,6,1,28,1,30,5,29,1,28,1,30,2,28,1,30,2,28,4,30,1,28,1,30,1,6,2,28,1,30,1,6,1,28,1,30,3,28,2,30,2,28,4,6,1,28,2,30,2,6,1,30,2,28,2,30,3,28,1,30,1,28,4,30,1,29,1,30,1,28,1,30,2,28,3,30,2,28,1,30,1,28,3,30,1,28,1,30,4,6,1,28,1,30,2,6,1,29,1,6,2,30,1,28,1,6,1,28,1,30,1,28,4,30,1,28,1,30,1,28,3,30,1,13,2,6,1,28,9,30,1,28,1,30,2,28,3,30,1,28,1,30,1,6,1,30,1,6,2,13,1,8,1,13,2,7,1,13,1,6,1,28,2,6,1,30,1,28,1,30,3,28,1,8,1,28,2,6,1,28,1,30,2,29,1,28,2,13,1,6,1,28,2,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,5,30,1,29,1,28,9,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,4,30,2,6,1,13,1,30,1,6,1,30,2,28,1,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,8,30,2,28,4,17,1,30,1,28,5,30,1,28,1,30,3,28,13,6,2,28,4,30,1,28,4,30,2,28,3,6,2,28,1,30,1,6,1,30,1,6,5,28,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,3,28,1,30,1,6,1,28,3,30,1,28,1,30,2,28,10,30,1,28,2,6,1,29,1,30,3,6,1,30,6,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,12,30,2,28,12,30,1,28,2,30,2,28,6,30,1,28,3,13,3,28,7,30,1,28,8,30,1,28,1,30,2,28,1,30,1,6,2,30,1,13,1,9,1,6,1,28,16,9,1,11,1,8,1,13,1,8,2,10,1,8,1,17,3,10,4,24,1,10,1,25,1,24,1,8,2,6,1,13,1,8,1,9,2,13,1,7,1,8,3,13,1,8,1,11,1,7,1,13,2,8,2,13,1,9,2,8,1,11,1,9,1,8,1,9,3,13,1,11,2,10,1,9,1,11,2,9,2,10,1,11,1,9,1,11,2,9,1,11,1,13,2,8,1,24,1,8,1,24,2,25,1,29,1,27,1,29,1,30,1,28,1,27,2,28,1,27,1,29,1,28,1,29,1,28,2,30,1,29,1,28,2,30,1,28,2,7,1,8,1,13,1,7,1,6,1,30,6,28,3,30,2,28,1,30,4,6,1,7,1,30,1,7,1,28,1,30,1,29,1,30,2,6,1,30,3,13,2,28,1,6,1,28,1,30,1,6,2,7,1,30,1,13,2,8,1,13,3,8,1,13,1,8,3,9,1,8,1,9,1,11,1,8,1,13,2,8,2,13,2,8,2,13,3,9,1,13,1,7,1,8,1,13,2,29,2,6,1,30,4,28,1,30,1,29,1,6,1,13,1,6,1,13,2,7,1,29,1,30,1,29,1,30,7,28,1,29,1,30,2,28,10,30,1,28,3,30,1,28,6,30,3,28,1,30,1,28,2,30,2,28,1,6,1,30,3,29,1,6,3,7,1,13,2,6,3,7,1,6,1,30,2,6,2,13,1,30,1,7,1,28,1,6,1,30,1,6,2,30,1,13,1,6,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,2,30,2,6,4,13,5,8,1,13,2,8,2,13,4,9,1,8,1,13,1,8,2,9,1,11,1,12,1,9,3,8,1,13,1,8,1,13,1,8,2,13,1,8,1,9,1,13,1,8,2,9,1,8,1,10,1,9,2,12,1,11,4,9,1,11,4,9,4,11,1,9,1,8,3,9,1,13,1,8,1,9,2,8,1,11,1,8,1,13,1,8,1,9,1,8,2,9,2,10,1,9,2,10,1,16,1,17,11,11,1,16,1,11,1,17,3,11,1,16,1,17,1,9,1,12,1,11,1,10,1,17,1,9,1,12,1,10,1,11,1,12,1,9,1,8,2,11,1,8,1,10,1,11,1,9,2,11,1,9,2,11,1,9,2,10,1,8,1,10,1,11,1,10,2,11,2,9,1,17,1,11,1,12,1,17,5,9,1,8,4,25,1,8,1,25,2,27,1,25,1,27,2,26,2,27,2,29,3,27,1,29,1,27,1,29,1,27,1,29,1,27,1,29,1,27,1,29,1,28,1,29,5,6,3,29,2,30,1,29,1,6,1,30,1,29,1,30,2,29,1,6,1,7,2,13,2,8,1,9,1,13,1,8,1,9,1,11,1,17,27,16,1,17,2,11,1,17,3,11,1,17,4,11,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,5,7,1,13,1,6,1,7,1,30,1,7,1,13,1,6,1,7,1,13,1,30,1,6,1,13,2,6,1,13,3,7,1,13,2,6,4,13,1,6,1,13,1,6,1,13,4,6,1,13,1,16,1,8,1,9,2,13,1,6,1,13,2,8,1,13,1,8,2,6,1,13,1,8,1,13,1,8,3,6,2,13,1,7,1,6,7,13,1,6,1,13,2,6,1,29,1,13,1,6,1,13,1,6,1,13,1,6,3,9,1,8,1,29,1,6,1,30,1,6,2,13,3,30,1,6,1,7,1,13,1,7,3,6,1,13,1,6,5,13,2,6,2,29,1,6,1,13,1,6,1,30,1,6,1,29,1,13,1,29,1,6,2,30,1,6,1,13,1,7,3,6,5,29,1,6,1,30,1,7,1,6,1,28,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,5,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,3,30,5,28,1,30,2,28,1,30,1,28,5,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,4,30,2,28,1,30,1,28,9,30,1,28,1,30,2,28,17,17,3,16,1,30,4,6,1,28,1,29,1,28,11,30,2,7,1,8,1,9,2,10,2,12,1,9,1,30,1,28,5,29,1,7,1,9,1,13,1,30,1,28,42,12,1,29,1,28,4,17,2,9,1,13,1,7,1,28,5,13,1,6,1,11,1,17,1,16,1,28,6,6,2,28,7,}, {6,2,24,1,28,44,30,1,28,2,29,1,28,1,30,1,28,3,30,1,9,1,12,1,9,2,6,1,13,1,30,1,28,1,6,1,8,1,9,1,8,1,6,1,13,1,8,1,11,1,10,1,12,1,17,2,16,1,11,1,17,1,11,1,12,1,9,1,13,1,30,2,28,4,13,1,8,1,24,1,30,1,29,1,28,1,30,1,7,1,29,1,11,1,10,1,11,1,17,1,11,1,9,1,8,1,6,1,13,1,8,1,7,1,8,2,9,1,17,2,12,1,6,1,13,1,30,2,6,1,13,2,28,38,6,1,13,2,11,1,8,1,13,1,28,3,30,2,28,1,13,1,17,3,16,1,17,2,11,1,16,1,12,1,8,2,6,1,8,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,29,1,8,1,12,1,11,1,10,1,17,1,16,1,11,1,17,2,16,1,28,17,30,1,9,3,6,2,13,2,7,1,13,1,8,2,9,1,12,2,17,1,10,1,17,20,12,1,17,5,16,1,9,1,13,1,9,7,8,2,10,1,9,1,11,1,9,1,12,1,9,2,8,3,24,1,9,1,17,1,12,1,17,3,10,2,12,1,9,1,10,1,24,1,13,1,7,1,6,1,29,1,6,1,29,1,6,1,7,3,6,1,24,1,10,1,17,6,10,1,17,3,12,1,9,1,12,1,9,3,8,1,9,3,10,1,9,1,17,1,12,1,16,1,11,2,9,1,10,1,9,1,11,1,16,1,10,1,11,1,9,1,10,1,11,1,8,1,11,1,9,3,11,1,9,3,8,1,9,3,8,1,9,5,13,1,12,1,16,4,17,1,11,2,16,1,17,13,16,1,11,1,16,3,17,4,16,1,11,1,16,1,17,1,16,1,17,1,16,1,17,4,10,1,17,3,11,1,17,46,12,1,17,1,12,3,10,1,17,1,12,2,9,1,12,1,11,1,9,4,8,1,9,2,11,2,9,2,8,1,9,1,8,1,9,1,8,1,9,1,8,1,13,3,9,1,8,1,7,1,13,2,8,1,9,1,13,2,8,1,13,2,9,1,13,2,7,2,13,2,8,4,11,1,8,2,9,1,8,1,12,1,9,1,8,2,9,3,10,1,9,1,11,1,17,2,12,1,17,51,12,1,17,3,12,2,17,10,12,2,17,1,12,1,10,1,11,1,8,2,9,1,11,1,13,1,10,1,13,1,10,1,9,1,8,1,24,1,13,1,8,1,13,3,7,3,13,6,7,1,13,1,7,1,13,1,6,1,13,2,7,1,6,1,7,4,6,2,30,1,7,1,6,1,30,1,7,1,30,2,13,1,29,1,6,1,29,1,6,2,29,1,13,1,29,1,6,1,7,1,8,1,6,1,13,1,7,2,6,1,13,1,8,2,13,2,8,1,6,1,7,1,13,1,8,2,7,1,13,1,7,1,13,2,8,1,13,1,24,1,13,1,9,2,11,2,9,2,10,1,8,1,13,1,8,1,13,1,8,1,9,2,8,1,13,3,7,1,13,1,8,1,13,2,9,1,8,1,13,1,8,2,7,1,13,1,7,2,6,1,8,1,13,1,7,3,13,3,8,5,12,1,8,1,9,2,11,1,9,1,11,1,8,2,9,1,11,2,9,2,10,1,17,1,10,1,17,3,9,1,17,2,12,1,17,2,11,1,12,1,17,8,10,1,17,7,12,1,11,1,17,2,12,1,17,2,9,1,17,2,11,1,17,1,12,1,11,1,17,3,12,1,17,1,12,1,17,1,12,1,17,1,11,1,12,1,17,1,10,1,8,1,13,3,7,1,13,1,7,1,28,1,30,2,28,1,30,1,6,1,29,1,6,1,13,1,7,1,6,1,13,1,6,2,13,1,10,1,8,1,13,2,8,1,13,2,6,1,8,1,13,1,8,1,24,2,8,2,13,1,8,1,13,1,6,2,13,2,8,1,13,1,7,1,8,1,13,1,7,1,13,1,24,2,11,1,9,1,24,1,13,1,7,1,6,1,30,2,6,1,30,4,13,1,29,1,6,1,28,1,6,1,10,1,17,25,11,1,17,3,11,2,9,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,24,2,8,1,10,1,13,4,6,1,13,2,8,3,13,1,9,1,8,1,9,1,8,1,9,2,13,1,9,2,8,1,13,1,6,1,30,5,28,1,30,3,28,2,6,1,30,1,28,1,30,2,6,1,30,3,6,1,28,3,6,1,30,3,28,1,29,1,30,1,28,1,30,2,28,2,30,4,28,2,29,1,28,1,30,3,28,2,30,2,28,3,30,1,28,5,30,1,28,4,30,2,28,1,30,1,6,2,28,1,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,13,1,30,3,6,2,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,2,29,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,29,1,28,8,30,2,6,1,30,4,6,1,28,1,30,3,28,1,30,1,28,1,30,1,28,5,30,2,28,3,30,1,28,1,30,1,28,1,30,2,28,6,6,1,30,2,6,1,30,1,28,1,30,4,28,1,30,1,6,1,30,2,28,1,30,2,6,1,30,2,28,2,30,1,6,1,13,1,8,1,13,1,6,1,28,2,30,1,28,2,6,2,28,2,30,3,28,2,30,2,6,2,29,1,6,1,13,2,7,1,6,1,13,4,6,2,30,2,28,1,30,3,28,1,30,2,13,1,6,1,30,2,28,1,30,1,28,2,30,1,28,1,13,1,6,2,28,2,6,1,28,2,30,2,28,1,30,1,28,3,30,1,28,3,30,2,28,1,30,2,28,24,30,1,28,2,29,1,30,1,6,1,13,1,30,1,28,2,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,2,30,1,28,9,30,1,28,2,7,1,13,1,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,4,30,2,28,1,30,1,28,3,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,4,28,1,6,1,29,2,30,4,6,1,30,1,6,1,13,1,6,1,30,1,6,2,30,2,6,1,7,1,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,1,30,5,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,2,28,2,30,4,6,2,28,1,30,1,13,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,2,30,1,28,4,30,2,28,2,30,1,28,1,30,1,28,7,30,1,6,1,28,1,30,1,28,1,30,2,28,2,6,1,28,4,30,1,28,2,30,2,28,1,30,1,28,4,30,1,28,1,29,1,28,1,30,2,7,2,16,1,30,1,28,6,30,1,28,2,30,1,28,3,30,2,28,2,30,2,28,2,6,2,30,1,7,1,13,2,28,1,30,2,28,13,13,1,17,1,10,1,9,1,13,1,8,2,12,1,17,1,12,3,9,2,24,2,26,1,27,1,24,1,12,1,25,1,7,1,13,1,24,1,13,1,24,1,8,1,9,3,8,1,13,2,8,1,9,2,13,2,8,1,9,4,13,1,9,1,8,1,9,1,8,1,11,2,9,1,11,1,10,1,9,4,10,1,9,1,12,1,11,4,8,1,9,1,13,1,8,1,13,1,8,1,24,1,8,1,27,3,29,3,27,1,28,1,30,1,27,1,28,1,29,1,6,1,30,1,28,1,30,2,28,2,30,1,28,2,13,1,9,1,13,1,30,3,28,2,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,2,28,2,6,1,30,6,6,1,29,1,30,3,29,1,6,1,13,3,28,1,6,1,28,1,13,1,6,2,29,1,13,1,6,1,13,7,8,1,13,2,9,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,8,1,6,1,13,2,7,1,8,1,13,2,8,1,13,2,8,1,6,1,13,1,6,2,30,1,29,1,28,3,30,5,13,4,30,1,29,1,30,5,29,1,28,1,29,2,30,1,6,1,28,3,30,1,28,1,30,1,28,9,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,6,1,30,2,29,1,30,1,6,2,29,1,7,1,6,1,7,1,6,1,13,1,6,1,7,1,29,2,7,1,6,3,29,1,7,1,30,1,6,2,29,1,13,1,30,1,6,2,7,1,30,1,29,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,6,3,13,1,6,1,13,1,8,1,13,2,9,1,13,1,9,1,13,4,8,2,9,1,8,1,9,4,11,1,9,1,12,1,9,1,8,1,13,1,8,1,13,2,8,2,13,1,7,1,9,1,8,1,13,1,8,1,9,1,8,1,10,1,9,1,11,2,8,1,11,2,9,1,11,1,8,1,9,1,11,1,8,1,11,1,8,1,9,4,10,1,9,2,16,1,9,1,8,2,9,1,11,2,9,3,8,2,9,3,11,1,9,1,16,1,11,1,17,9,16,2,17,1,11,2,16,1,11,1,17,1,12,3,17,1,11,1,10,1,11,1,16,2,9,2,10,1,11,1,17,1,11,3,12,1,17,2,12,1,9,1,11,1,8,2,11,1,9,1,10,2,11,1,9,3,11,2,10,2,11,2,16,2,17,4,11,1,10,1,13,1,24,1,6,1,8,1,24,1,25,2,27,1,25,2,26,1,29,1,27,2,25,1,27,2,29,2,27,1,26,1,27,7,29,3,27,2,30,1,29,1,6,2,30,1,6,1,29,1,6,1,29,3,7,1,13,1,7,1,8,1,13,2,8,2,9,3,10,1,12,1,11,1,17,5,12,1,17,26,11,2,17,2,16,1,17,1,11,1,8,1,9,2,13,2,8,1,13,1,9,1,13,3,8,1,7,1,13,1,7,1,29,1,13,2,29,1,6,1,13,1,6,2,7,1,13,2,29,1,7,1,6,2,13,4,7,1,13,3,7,2,29,1,13,2,7,1,13,2,6,1,11,1,9,2,8,1,9,1,8,2,9,1,13,1,6,1,13,2,6,1,13,1,6,2,13,2,9,1,13,4,6,1,13,3,6,1,30,2,29,1,13,1,29,1,13,1,30,1,13,1,30,1,13,2,29,1,6,1,13,1,29,1,13,2,8,1,6,1,30,1,13,2,7,2,13,2,6,3,13,1,6,3,30,1,6,1,7,1,30,1,7,1,29,1,6,2,29,1,7,1,30,1,13,1,29,1,6,1,30,1,6,1,7,1,6,6,13,1,29,1,6,4,7,1,6,2,13,3,30,1,7,1,28,1,6,1,30,1,28,1,6,1,30,1,6,1,30,5,29,1,30,3,6,1,30,1,29,1,6,1,30,2,28,1,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,6,30,3,28,1,30,1,28,3,30,2,28,7,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,2,28,2,30,1,28,6,30,1,28,1,30,3,28,17,13,1,17,2,11,1,9,1,13,1,30,1,28,1,30,1,28,13,30,3,6,1,13,2,8,1,9,1,10,1,12,2,29,1,28,6,11,1,12,1,13,1,28,43,15,1,28,5,17,2,16,1,28,1,30,1,28,5,13,2,11,1,17,1,11,1,28,6,6,1,28,8,}, {28,1,13,1,8,1,28,53,6,1,9,3,8,1,13,1,6,2,28,1,30,1,8,1,13,4,9,2,17,1,9,1,11,1,16,1,11,1,10,1,17,3,10,1,13,1,30,1,28,3,30,1,28,1,30,1,13,1,8,1,30,2,29,1,30,2,6,1,9,1,12,1,16,1,9,4,13,3,8,1,9,1,10,2,17,2,9,1,6,2,30,1,29,2,6,1,8,1,28,38,6,1,13,1,9,3,13,1,28,4,30,1,13,2,17,4,16,2,11,1,9,1,12,1,13,3,7,1,30,2,6,1,29,1,13,1,6,2,29,1,13,1,24,1,8,1,9,2,16,1,17,1,16,2,17,2,6,1,28,16,30,1,9,1,13,2,7,1,30,1,6,2,29,1,13,2,8,1,13,1,9,1,8,1,11,1,10,2,11,1,17,22,12,1,11,2,17,1,9,2,10,1,9,1,8,2,9,1,8,2,9,3,10,1,9,1,10,1,11,1,10,1,24,1,8,1,10,1,11,1,12,1,17,2,12,5,9,1,12,1,10,1,24,1,7,1,13,1,7,1,6,1,13,3,8,1,7,1,13,1,8,1,24,1,12,1,17,10,12,2,9,1,11,1,12,1,10,1,9,2,12,1,11,1,9,1,10,1,9,1,10,1,16,1,9,1,10,1,12,1,11,1,9,4,11,1,13,1,9,1,8,2,6,1,9,1,10,1,8,1,13,1,9,3,13,1,8,2,13,1,8,1,9,1,8,1,13,1,9,2,11,1,9,2,17,1,11,2,10,1,17,1,16,2,10,1,11,1,16,2,17,8,16,1,17,1,16,1,17,1,11,1,17,2,16,1,17,5,16,1,17,5,11,1,17,7,16,1,17,5,16,1,11,1,17,38,12,3,17,3,12,1,11,1,10,1,17,1,8,2,9,1,11,1,13,1,9,1,8,3,10,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,2,8,2,13,1,8,2,13,1,8,1,13,1,9,1,13,1,8,2,7,1,13,1,8,4,9,1,24,1,13,1,9,1,8,1,9,1,10,1,9,4,8,1,9,1,8,1,10,1,9,1,8,1,10,2,9,1,17,2,12,1,17,3,12,1,17,25,12,1,10,1,12,1,17,1,12,1,17,17,11,1,17,8,12,1,17,6,12,1,17,4,8,1,10,2,9,2,8,1,11,1,9,1,13,1,9,1,24,1,13,1,8,1,9,1,8,2,13,2,8,1,13,1,8,1,13,1,29,1,6,1,30,1,7,1,6,1,13,1,6,1,13,1,29,1,13,2,6,5,13,2,6,1,13,1,6,3,7,1,6,3,30,1,13,1,30,1,6,1,29,1,6,1,7,1,6,1,13,1,7,1,6,1,10,1,7,1,13,2,29,1,13,3,6,2,7,2,6,1,13,1,7,1,13,1,8,2,7,1,8,2,9,1,8,1,13,1,9,1,11,1,9,4,11,1,8,1,9,1,13,1,11,1,9,1,8,1,9,3,8,2,9,2,7,1,9,1,8,3,9,1,8,2,13,3,8,2,13,1,6,2,30,1,7,1,6,2,7,2,13,3,8,1,10,1,13,1,10,1,9,3,8,1,9,3,17,1,9,1,17,1,11,2,9,1,12,3,9,1,17,1,10,1,17,4,10,1,17,1,11,1,12,1,11,1,12,1,17,1,12,1,17,2,12,1,17,1,10,1,17,1,11,1,17,4,11,1,17,3,11,1,17,1,12,1,17,1,10,1,17,2,11,1,17,1,12,1,17,4,11,1,17,2,12,1,11,1,17,2,11,1,17,2,11,1,9,1,13,1,7,2,9,1,13,1,6,1,30,1,28,3,30,1,6,5,29,1,7,2,6,1,13,1,8,1,13,2,7,2,13,2,9,1,8,1,24,2,8,3,13,1,8,1,13,1,6,1,13,1,7,1,8,1,7,1,13,4,7,2,24,3,9,1,8,1,13,2,30,2,29,1,30,2,29,1,30,1,6,3,30,1,6,1,30,1,12,1,17,7,12,1,17,15,12,1,11,2,10,1,12,1,11,1,8,1,12,1,11,1,13,1,9,1,8,2,13,1,9,1,13,1,8,1,9,1,24,3,8,3,9,1,10,1,13,1,9,1,13,1,24,1,13,1,24,1,10,1,8,1,13,1,10,1,24,1,17,1,9,2,8,1,9,1,30,1,6,1,28,1,30,3,28,1,30,1,28,1,30,1,28,3,30,4,8,1,6,1,30,3,6,1,30,1,28,2,30,1,28,1,30,3,28,4,30,2,28,1,30,3,28,4,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,3,28,1,30,2,28,3,30,3,28,1,30,1,28,1,30,3,28,3,30,1,28,1,30,1,9,1,28,1,30,1,29,1,28,1,6,1,30,1,28,1,6,1,30,4,28,1,6,1,28,1,30,1,28,2,30,1,28,2,6,2,30,1,6,2,28,1,30,1,28,2,30,1,28,4,30,2,28,1,30,1,28,1,30,1,28,1,30,8,28,1,6,1,28,1,6,1,30,4,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,4,28,2,30,6,28,2,30,3,6,1,30,7,28,2,30,1,28,2,30,4,29,1,30,2,6,1,29,1,8,1,7,1,30,2,28,5,30,2,28,2,30,1,28,1,29,1,13,5,9,1,13,2,6,1,30,1,13,3,6,1,30,1,6,2,30,2,6,1,30,2,28,1,30,1,28,2,13,1,6,1,30,1,29,1,30,1,28,1,30,3,28,1,30,1,6,1,29,1,30,1,6,2,30,2,28,1,30,1,28,2,6,1,28,1,30,1,28,6,6,1,28,1,30,1,28,6,30,1,28,8,30,3,28,2,30,1,28,2,30,1,28,3,6,1,13,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,6,1,28,6,6,1,28,3,30,1,28,3,30,1,28,3,30,1,28,7,13,1,28,7,30,1,28,2,30,1,28,1,30,1,28,13,6,1,28,6,30,2,28,1,30,2,28,4,30,1,28,1,30,2,29,1,13,1,30,1,6,4,30,1,13,1,28,1,30,2,28,4,30,1,28,1,30,3,28,1,30,2,28,2,29,1,28,1,30,4,28,2,30,1,28,1,6,1,28,2,30,1,28,2,30,2,28,1,30,1,6,1,29,1,28,1,29,1,28,3,30,1,28,1,30,6,28,2,30,1,28,2,30,1,28,1,30,3,28,2,30,2,28,3,30,1,28,6,30,2,28,1,30,1,28,1,6,1,30,1,28,1,6,2,28,1,30,1,28,2,30,2,28,1,30,1,28,14,30,1,28,1,6,2,13,1,9,1,13,1,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,4,30,1,28,1,30,1,7,1,6,1,28,1,13,2,28,5,30,1,28,10,13,1,17,1,12,1,13,1,8,1,9,1,10,1,17,2,11,1,17,1,12,1,24,2,8,1,25,1,8,3,24,1,26,1,13,2,9,2,8,1,13,2,9,1,13,1,9,1,13,1,8,1,9,1,11,1,13,1,7,1,13,1,9,1,13,1,9,2,11,1,9,2,13,1,9,1,11,1,9,1,8,1,11,1,8,1,9,2,10,2,8,1,11,2,10,1,11,2,8,1,10,1,8,2,13,1,8,1,24,1,8,1,24,1,8,1,27,1,29,1,27,1,29,2,30,1,29,1,28,1,30,1,6,1,28,1,29,1,30,2,28,1,30,2,28,5,8,2,13,1,6,1,28,1,30,1,13,1,30,1,6,1,28,1,30,1,28,2,30,1,28,2,30,3,28,1,30,1,6,1,30,2,6,2,30,2,29,1,7,1,13,2,6,1,13,1,6,1,29,1,6,2,29,2,6,1,7,1,6,2,7,1,6,1,13,4,8,3,13,1,9,1,8,1,9,1,10,1,8,1,13,1,8,1,13,3,8,1,6,1,13,3,8,1,13,5,6,1,13,1,6,1,13,1,30,1,6,1,28,1,30,2,28,1,30,3,13,1,6,1,13,4,6,1,29,1,30,1,6,1,28,1,30,4,28,1,29,1,28,6,30,1,28,7,30,1,28,11,30,1,28,1,30,1,28,3,30,2,29,1,30,1,6,3,7,1,30,1,6,1,7,3,6,2,13,1,30,1,6,1,30,2,6,1,29,1,6,3,29,1,6,1,29,1,30,2,6,1,29,2,6,2,30,1,28,2,30,2,28,5,30,1,6,1,28,2,6,1,30,2,6,1,30,1,6,1,7,1,6,1,13,8,8,1,13,4,8,1,9,2,8,1,9,2,8,1,9,1,11,1,7,1,13,2,6,1,13,2,7,1,13,2,7,1,13,4,8,1,9,2,10,1,9,1,12,1,9,1,10,1,9,1,8,1,11,1,9,7,13,1,9,1,11,1,13,2,9,1,13,1,9,3,16,1,9,4,8,2,10,1,9,4,12,2,17,2,12,1,17,9,16,2,17,1,16,1,17,1,11,1,17,2,11,1,17,1,11,1,12,1,17,1,11,1,9,1,17,1,11,1,9,2,13,1,11,1,10,1,16,1,9,3,8,1,10,1,8,1,9,2,11,1,10,1,11,2,9,1,11,1,9,1,10,2,9,1,11,1,12,1,11,2,17,5,12,1,11,1,9,2,24,1,8,1,25,1,8,1,25,1,24,1,25,1,26,2,25,1,27,1,26,1,25,1,27,1,29,1,26,4,25,1,27,2,25,2,26,3,27,3,29,1,26,1,27,1,29,1,26,1,29,1,27,1,29,1,6,2,29,1,6,3,13,3,24,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,16,1,17,1,10,1,17,1,16,1,17,27,16,2,17,2,16,2,17,3,12,1,9,1,8,1,11,1,9,3,8,5,7,1,13,1,6,1,29,1,6,1,29,1,6,3,13,2,7,1,6,1,13,4,6,2,13,1,7,2,13,1,6,2,13,1,6,1,13,3,6,2,13,2,7,1,8,2,10,1,11,1,13,1,9,1,13,4,8,1,13,2,6,1,8,1,13,2,6,1,13,1,8,1,13,2,6,2,13,1,6,2,7,1,6,2,13,1,30,1,13,1,6,2,13,2,6,2,7,1,13,2,6,3,7,2,6,3,7,1,13,1,6,1,30,1,29,1,6,2,13,1,6,2,7,1,6,1,7,1,6,1,7,1,30,1,6,1,7,2,6,4,7,1,6,1,7,1,6,2,7,1,6,4,29,2,6,1,29,2,6,1,30,1,7,1,6,2,13,1,6,1,29,1,30,1,29,1,30,1,28,1,30,1,6,1,29,1,30,1,28,1,30,5,29,1,28,2,30,1,28,1,30,4,28,7,30,1,28,2,30,2,28,1,30,3,28,2,30,1,28,2,29,1,30,1,28,4,30,1,28,2,29,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,5,30,2,28,2,30,1,28,3,30,1,28,2,30,1,28,12,30,1,28,2,30,1,28,17,13,1,17,2,16,1,9,1,13,1,28,1,30,1,28,15,30,1,6,2,13,1,7,1,8,1,7,1,8,1,17,1,8,1,30,1,28,6,9,1,13,1,8,1,30,1,28,1,30,1,28,40,8,1,30,1,28,4,17,2,9,1,28,7,6,1,9,2,17,1,16,1,28,6,30,2,28,7,}, {28,1,13,2,28,44,30,1,28,8,6,1,13,1,16,1,9,2,6,2,29,1,30,2,9,1,12,1,13,1,6,2,8,1,9,1,11,2,16,1,17,1,16,1,12,1,10,2,11,1,9,1,13,1,28,1,6,1,28,4,30,1,8,1,9,1,6,1,30,1,28,1,6,1,30,1,6,1,10,1,17,1,16,1,11,1,17,2,8,1,13,5,10,1,17,3,11,1,13,1,6,2,30,1,6,1,13,1,8,1,30,1,28,37,29,1,13,1,8,1,10,1,9,1,8,1,28,2,30,2,29,1,30,1,13,1,17,4,16,2,11,1,16,2,9,3,7,1,30,1,13,1,29,1,6,1,7,1,6,2,30,1,13,1,8,2,9,1,12,1,17,2,16,2,17,2,6,1,28,16,6,1,13,2,30,1,29,1,30,1,6,4,7,1,13,1,8,2,9,1,10,1,11,3,17,1,16,1,17,19,10,1,9,4,8,1,9,1,13,1,8,1,13,1,9,2,13,1,9,2,11,1,9,1,12,1,11,2,10,2,9,2,10,1,11,1,17,2,11,1,9,2,10,2,12,1,10,1,12,2,17,1,9,2,24,2,7,1,8,1,24,1,8,1,9,1,10,1,12,1,24,1,17,9,12,1,17,1,11,1,9,1,8,1,10,1,11,1,9,2,8,1,11,1,17,1,9,1,11,1,10,1,9,1,11,2,9,3,8,1,9,3,8,4,13,2,9,1,8,1,9,2,13,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,8,1,9,3,12,1,9,1,11,1,8,1,11,1,9,1,16,1,17,1,16,2,11,1,17,1,16,1,17,2,11,1,17,5,11,1,16,1,17,1,16,2,17,2,10,1,9,1,17,1,16,2,17,2,11,1,17,11,16,1,17,1,11,1,17,5,16,1,17,36,12,1,17,6,24,1,17,1,10,1,11,2,9,3,10,1,8,2,9,6,10,1,8,1,13,3,8,1,13,2,7,1,13,3,8,1,13,1,8,3,13,1,8,1,13,3,6,1,8,2,13,1,8,2,13,1,10,1,8,1,10,2,9,5,10,1,9,1,7,1,9,1,12,1,9,1,11,2,10,2,17,54,11,2,17,1,11,1,17,13,9,1,11,1,12,1,10,1,9,1,11,1,13,1,9,2,13,1,24,1,8,1,9,1,8,1,9,1,13,1,9,1,13,2,8,2,13,1,24,1,13,1,8,1,13,1,6,1,7,2,13,1,6,2,13,1,6,1,7,1,6,1,13,1,6,1,7,1,13,1,7,1,6,1,13,2,6,1,7,1,6,1,30,1,29,1,6,1,29,2,6,6,7,1,6,3,13,1,7,1,13,3,8,1,6,1,13,1,7,1,6,1,13,1,7,1,29,1,13,2,7,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,10,2,9,2,8,1,10,1,9,1,8,1,9,1,11,1,8,1,24,1,8,1,13,1,8,1,13,1,8,2,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,9,1,7,2,6,1,13,2,7,1,6,1,13,1,7,1,6,3,7,1,13,1,8,1,7,1,8,1,13,1,9,1,13,1,9,2,10,1,9,2,11,2,24,1,10,1,11,1,17,1,12,1,11,1,10,3,17,1,10,1,9,1,12,1,11,1,17,1,11,2,12,1,11,2,17,8,12,1,17,1,11,1,17,4,10,1,17,1,11,1,17,2,12,1,11,2,17,1,10,1,17,1,11,2,17,1,9,1,17,2,11,1,17,1,11,1,17,2,12,1,11,1,12,1,17,2,11,1,17,1,12,1,9,1,13,1,9,1,13,1,28,2,30,1,28,1,30,6,7,1,6,2,29,1,6,2,13,1,8,8,13,4,8,1,13,2,29,1,6,3,13,1,6,1,7,3,13,1,6,1,13,3,11,1,8,3,7,1,30,1,29,1,30,2,28,1,6,1,30,3,28,1,30,2,13,1,17,25,11,1,17,1,11,1,9,3,8,1,11,1,9,1,10,1,8,1,9,1,13,1,9,1,24,2,8,1,9,1,7,1,6,1,8,1,24,1,8,1,13,2,8,2,9,1,24,1,13,1,8,1,13,1,8,1,9,1,10,1,8,1,13,1,9,2,8,1,11,1,30,7,28,1,30,2,28,2,30,1,28,1,29,1,6,1,30,1,13,1,6,3,28,1,30,3,28,1,30,1,28,1,30,2,28,4,30,6,28,1,30,1,6,1,30,2,28,5,30,2,28,3,30,4,28,2,30,2,28,1,30,1,28,2,30,1,28,2,6,1,30,1,28,7,30,1,28,3,13,1,9,1,28,1,30,5,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,5,30,1,28,2,30,1,28,1,30,1,28,2,30,3,28,2,30,2,6,1,29,1,6,1,30,1,6,1,30,5,28,1,30,4,6,1,30,2,28,1,30,6,28,1,30,4,28,5,30,5,28,3,30,1,28,2,30,1,6,1,29,1,28,2,13,1,9,1,30,1,29,1,28,2,30,1,28,1,30,8,13,1,9,1,13,2,7,1,9,1,13,1,6,1,13,1,6,1,30,2,6,2,30,2,6,1,28,1,6,1,30,1,28,2,30,3,28,2,29,2,30,2,6,1,28,1,30,2,28,1,13,1,6,2,30,2,6,1,28,1,30,5,28,1,30,1,28,1,30,1,28,4,29,1,13,1,28,1,30,1,28,2,30,1,28,1,30,2,28,6,30,1,28,4,30,2,28,5,30,1,28,1,30,1,28,1,30,1,13,1,6,1,30,2,28,1,30,2,28,3,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,2,30,1,28,2,30,2,13,2,6,1,28,7,30,1,28,5,30,2,28,7,30,1,28,2,30,1,28,4,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,3,28,2,30,2,28,1,30,2,6,2,13,1,30,3,29,1,30,6,6,1,30,3,28,1,30,2,28,1,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,6,1,30,2,6,1,28,1,30,1,6,1,30,3,28,1,30,3,28,6,30,1,28,9,30,1,28,12,30,1,28,2,30,1,28,2,6,1,30,2,28,1,30,3,28,1,30,1,28,6,30,2,28,9,30,1,6,1,13,3,6,2,28,3,30,1,28,6,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,5,6,2,28,15,30,1,17,1,11,1,9,1,13,1,9,1,12,1,11,1,17,1,12,1,10,1,12,2,24,1,8,4,24,1,6,1,8,3,9,1,8,2,13,4,8,1,13,1,11,1,13,2,7,1,9,1,13,1,9,1,13,1,8,1,9,2,8,2,9,3,8,1,9,2,17,1,9,1,13,1,10,1,8,1,9,1,11,1,10,1,11,1,17,1,11,1,9,1,10,1,8,1,24,1,13,1,24,2,8,1,24,1,8,1,27,4,29,1,30,2,28,1,30,1,29,1,30,1,29,1,28,3,6,1,28,6,13,1,8,1,7,1,6,1,30,1,29,1,30,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,3,28,1,6,3,30,1,6,2,30,1,7,1,8,1,13,1,7,1,30,1,13,1,28,1,30,1,6,4,13,1,6,2,29,1,8,1,13,3,8,1,13,4,8,1,13,1,8,2,9,1,13,1,9,2,13,3,7,1,13,1,7,1,13,1,7,1,13,1,8,1,13,1,8,1,6,1,13,1,6,1,7,1,6,1,13,1,30,2,28,1,30,2,28,1,30,2,29,1,7,1,13,5,6,1,29,1,6,1,30,1,29,1,6,1,30,2,29,1,28,1,13,1,29,1,28,22,30,1,28,3,30,1,28,2,30,1,28,1,30,3,6,2,30,1,13,1,6,1,13,1,6,1,13,2,7,1,13,1,6,2,29,2,6,2,29,3,30,1,13,1,30,1,6,3,13,1,6,2,30,3,6,1,29,1,30,4,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,6,1,7,1,6,1,13,1,7,1,13,1,6,2,13,3,8,1,6,1,13,4,8,3,9,1,11,1,9,1,13,1,9,1,8,1,9,2,13,2,8,1,13,3,8,1,13,1,8,1,13,3,7,1,8,1,11,1,13,1,9,1,13,1,8,1,9,1,13,1,9,3,10,1,13,1,11,2,9,1,8,1,9,1,8,4,9,1,13,1,9,5,8,1,9,1,8,1,9,1,11,1,9,2,11,1,8,1,9,1,10,3,16,2,17,10,16,1,17,1,11,2,17,1,12,1,11,1,17,1,16,1,12,1,11,1,16,1,12,1,17,1,11,1,17,1,11,2,16,3,10,2,11,1,8,1,9,2,11,1,8,1,9,2,10,2,9,1,10,1,9,4,11,1,16,1,11,2,17,1,12,1,16,1,17,4,11,1,12,1,17,1,13,2,24,1,13,1,25,1,8,1,25,4,26,1,27,1,25,2,26,1,25,1,27,2,26,1,25,2,26,1,25,1,26,1,25,1,27,1,25,2,27,1,26,1,27,2,29,2,27,2,26,1,27,2,29,2,6,2,8,1,7,1,8,2,24,1,8,1,9,4,10,1,9,1,11,1,17,3,11,1,16,2,17,1,16,1,17,27,9,1,10,1,11,1,17,3,10,1,9,2,13,1,8,1,9,1,8,1,10,1,9,1,13,1,6,1,7,2,13,2,6,2,7,2,13,3,7,2,13,1,7,3,13,4,6,1,7,1,8,1,6,2,13,1,6,1,13,3,6,1,13,1,6,1,13,1,6,1,8,1,9,1,16,1,8,1,9,2,7,1,8,1,13,5,6,1,13,1,30,1,13,3,29,1,8,1,13,1,6,1,13,3,6,1,13,4,6,1,13,1,6,1,7,1,13,2,6,7,7,1,8,1,6,1,13,1,6,1,30,1,6,1,13,1,29,1,7,1,6,2,30,1,13,1,6,2,13,3,6,1,13,1,29,1,13,1,6,1,29,1,6,2,30,1,6,2,28,1,30,1,13,1,6,4,30,1,6,2,30,1,6,8,7,1,30,2,6,1,28,1,7,1,6,1,28,1,6,1,30,1,29,1,28,1,30,1,29,1,28,2,6,1,30,4,28,1,30,2,29,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,5,29,1,30,4,28,2,30,2,28,2,30,4,28,2,30,1,28,1,30,4,28,3,30,1,28,1,30,3,6,1,28,4,30,1,28,17,30,1,28,2,30,1,6,1,28,1,30,1,28,16,13,1,17,2,16,1,9,1,6,1,30,2,28,2,30,2,28,9,29,1,28,1,13,1,7,1,13,4,9,1,12,1,10,1,24,1,29,1,28,5,30,1,8,1,9,1,13,1,6,1,28,42,24,1,29,1,28,3,30,1,17,2,13,1,7,1,28,5,30,1,7,1,8,1,12,1,17,1,12,1,28,6,29,1,30,1,28,7,}, {28,1,6,1,8,1,29,1,28,34,30,1,28,11,30,1,28,5,30,1,13,1,8,1,9,1,8,1,7,1,6,1,30,2,6,1,8,1,9,1,13,1,29,1,6,1,11,3,12,1,9,1,17,1,12,1,17,1,12,1,16,1,9,1,13,2,30,3,28,3,6,1,8,1,12,1,6,1,7,1,30,3,29,1,11,1,17,2,9,1,17,1,12,1,13,2,9,1,8,1,13,1,10,1,9,1,17,3,11,1,13,1,30,1,6,2,30,1,13,2,28,38,29,2,24,1,12,1,11,1,13,1,28,3,30,1,28,1,30,1,8,1,17,5,9,2,13,2,8,1,9,1,13,1,7,1,29,1,6,1,30,1,6,3,29,1,7,1,6,1,8,1,9,1,8,1,11,1,12,1,16,1,17,4,30,1,28,17,8,1,13,1,6,2,30,2,13,1,6,2,13,2,7,1,6,1,13,1,9,1,12,3,17,22,11,1,9,2,8,2,9,2,8,2,13,4,9,1,12,1,17,3,12,1,17,3,12,1,17,2,9,1,17,1,11,1,12,1,9,1,24,1,12,1,17,2,12,1,17,1,12,1,17,3,10,1,12,1,9,1,10,1,24,2,17,1,12,1,17,1,12,1,17,4,12,1,17,4,12,1,10,1,11,2,9,1,8,1,9,1,11,1,9,1,8,1,9,1,11,1,9,1,11,1,12,1,9,1,10,1,16,1,13,1,9,1,10,1,9,1,8,1,9,1,13,1,8,4,13,3,6,2,13,2,7,1,13,1,8,1,13,2,8,1,13,1,8,3,9,1,8,1,13,1,9,2,8,1,9,1,10,1,9,3,11,1,16,1,17,11,11,1,16,1,17,2,16,2,17,1,11,1,17,4,16,2,11,1,17,3,11,1,17,25,16,1,17,29,12,1,17,1,11,1,17,1,11,1,17,1,10,1,12,1,9,1,10,2,9,2,8,1,9,2,8,1,13,1,11,1,13,1,10,1,13,1,10,1,9,2,13,1,9,2,8,2,13,1,8,1,13,1,9,1,8,1,9,1,13,2,8,1,13,1,8,1,13,2,9,1,13,1,8,2,9,1,24,1,8,2,9,1,17,1,9,2,8,1,9,3,10,1,9,1,10,1,12,1,9,2,12,1,9,1,17,1,12,1,17,53,12,1,17,2,12,1,17,3,12,1,17,9,12,1,17,1,11,1,10,1,9,1,8,1,9,1,11,1,13,1,9,1,13,1,8,1,7,1,13,1,9,1,13,6,10,1,13,3,7,2,6,1,13,1,6,3,13,1,29,1,7,3,13,1,30,1,6,3,30,1,6,4,29,1,6,7,30,1,6,4,7,1,13,1,30,1,13,3,7,1,6,5,7,1,13,1,6,3,13,2,8,1,9,1,13,1,9,3,8,1,10,1,8,1,10,1,11,2,10,1,13,1,10,1,13,1,11,1,13,1,7,1,13,1,8,3,13,1,9,1,8,3,13,2,9,1,8,3,13,4,6,1,13,1,7,4,13,1,6,1,7,2,6,1,13,1,7,1,8,1,13,2,10,1,8,1,9,3,11,1,9,2,10,1,9,1,10,4,11,1,12,1,9,3,12,1,17,1,12,1,11,1,10,2,17,2,9,1,17,2,12,1,17,4,12,1,17,1,11,1,17,5,11,1,17,3,12,1,17,1,11,1,12,2,17,1,12,1,17,1,12,3,10,1,12,1,17,1,12,2,17,6,11,1,17,6,10,1,11,1,8,1,11,1,30,1,28,4,30,1,28,1,30,3,6,1,30,1,6,1,29,1,6,1,29,2,6,2,7,1,6,1,13,1,8,3,13,2,8,1,13,1,7,2,6,3,13,2,6,2,13,2,7,1,13,1,6,1,13,2,8,1,9,1,8,2,7,1,6,1,29,1,30,1,29,2,30,1,6,2,30,3,29,1,6,1,9,1,17,22,11,1,17,1,10,1,12,1,10,1,12,1,10,1,9,1,8,1,9,1,8,1,9,1,8,1,9,2,11,1,24,1,7,1,10,1,8,3,9,1,13,2,8,1,13,1,8,2,13,2,24,4,8,1,9,1,24,1,13,1,9,1,8,1,13,1,8,1,9,1,30,2,28,1,30,1,28,1,6,1,30,1,28,1,30,3,28,2,30,1,28,1,30,1,6,3,30,1,6,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,6,1,28,2,30,1,28,1,6,2,28,1,30,3,28,1,30,1,28,3,6,1,28,1,30,1,28,7,13,2,7,1,13,2,28,1,30,1,6,1,30,1,28,1,30,1,28,2,30,1,13,2,28,1,30,2,6,1,28,1,30,5,28,1,30,2,28,2,30,2,28,2,30,1,13,1,30,1,28,1,6,1,30,3,28,1,30,1,28,3,30,1,28,1,30,2,28,6,30,3,28,1,29,1,28,1,30,2,28,1,30,6,6,2,30,1,29,1,6,1,30,1,28,1,30,2,6,1,28,8,30,3,28,1,30,1,28,1,30,1,6,2,30,2,28,2,30,1,28,2,30,2,28,2,30,7,28,1,6,1,13,1,8,1,6,1,30,1,28,5,29,1,28,1,30,1,28,2,30,1,7,1,13,1,8,1,6,1,7,1,29,1,30,1,6,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,2,6,1,28,1,29,1,30,2,6,2,30,1,28,1,30,2,6,1,7,1,30,1,6,1,30,4,6,2,13,1,28,1,13,1,28,2,30,1,28,3,30,1,28,2,30,1,6,1,28,4,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,1,6,1,30,2,28,4,30,1,6,1,13,1,30,1,28,1,30,2,29,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,9,30,1,28,3,30,2,6,1,13,1,6,1,30,3,28,2,30,1,28,3,30,2,28,3,30,2,28,1,30,1,28,6,30,2,28,4,30,2,28,3,30,1,28,1,30,1,28,11,30,4,6,2,13,1,30,1,7,1,30,1,28,1,30,1,28,1,6,1,30,2,28,2,30,1,6,1,28,1,30,3,28,1,30,2,28,1,29,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,2,28,2,30,3,6,1,30,1,6,1,30,6,28,2,29,1,28,5,6,1,30,1,28,3,6,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,6,13,1,28,2,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,5,30,1,28,8,29,2,30,1,13,2,30,1,13,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,4,30,1,28,2,30,1,6,4,28,14,30,1,9,1,10,1,9,2,10,1,17,3,12,1,10,1,17,1,24,1,25,1,8,1,25,1,8,1,24,1,8,1,26,1,24,1,13,1,24,1,10,1,13,3,9,1,13,1,9,1,8,2,13,1,8,1,13,1,8,1,13,1,9,2,13,1,9,1,11,2,9,1,13,2,9,4,8,1,17,1,9,2,11,1,9,1,13,1,12,1,11,1,9,1,11,1,9,4,13,2,24,4,25,1,27,1,29,1,27,1,30,3,28,2,29,1,30,1,28,1,30,1,29,1,28,2,6,1,28,6,9,1,6,2,29,1,13,1,30,1,7,1,28,1,30,1,28,2,30,1,28,3,29,1,28,1,30,2,28,1,6,1,30,1,6,1,29,1,7,2,13,3,6,2,30,1,29,1,30,1,6,1,30,1,6,3,30,1,6,2,13,1,7,1,13,3,8,1,9,1,7,1,8,1,13,1,8,2,9,1,8,1,13,1,8,1,9,1,8,1,13,1,9,1,8,1,6,1,29,1,8,1,13,3,8,2,13,6,29,1,13,1,6,2,28,2,30,1,6,1,28,1,30,1,6,1,30,1,13,4,8,1,13,1,6,1,30,2,6,1,29,1,30,1,7,1,28,1,13,1,6,1,30,1,28,8,30,1,28,14,30,1,28,6,30,1,28,1,30,2,29,1,30,1,6,2,29,1,6,1,7,1,6,1,13,4,6,2,30,3,13,1,29,1,30,2,6,3,30,1,7,1,6,4,30,1,6,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,29,1,30,4,29,1,30,1,6,1,28,1,7,2,6,1,13,4,6,1,9,1,8,1,13,4,8,1,13,1,9,1,8,1,13,1,8,1,9,2,13,4,9,1,13,2,7,1,13,1,7,1,29,1,13,3,6,1,13,2,8,1,13,1,9,2,13,2,8,1,9,1,13,1,9,1,8,1,13,1,9,1,10,1,9,1,8,1,9,1,13,1,9,2,8,1,10,1,9,1,13,1,9,1,11,1,9,2,11,1,9,2,8,2,10,1,8,1,9,3,8,1,9,1,8,1,9,2,12,1,10,1,17,11,11,1,16,1,17,3,10,1,17,2,12,1,11,3,17,1,9,1,11,2,9,1,16,2,11,2,9,1,11,2,10,1,11,1,9,2,12,1,9,1,10,1,9,1,11,1,16,1,12,2,9,1,11,1,12,1,11,1,10,1,11,2,12,1,16,2,17,5,12,1,9,1,8,1,24,1,8,1,25,1,8,1,25,1,27,1,25,1,8,2,27,2,25,1,27,1,25,1,27,1,26,1,27,1,26,1,25,2,26,1,25,2,26,1,25,2,27,1,26,2,27,2,29,1,26,2,27,3,26,1,8,2,7,1,24,1,8,1,24,1,8,2,9,1,8,1,9,1,10,1,11,3,17,1,16,1,17,2,16,1,17,28,16,1,17,4,11,1,17,4,11,1,9,1,10,1,11,1,9,2,8,1,7,2,13,4,6,1,29,1,6,2,13,1,30,1,13,1,6,3,7,1,13,2,6,1,13,2,6,1,13,4,30,1,7,1,13,1,6,2,13,2,7,1,6,1,8,1,13,1,29,1,10,1,17,1,9,1,13,1,9,2,8,1,6,1,13,2,8,1,6,1,13,5,6,1,7,1,6,1,7,1,13,1,7,2,6,1,7,1,6,1,7,1,6,3,13,1,29,1,6,2,28,1,30,1,13,1,6,2,29,1,13,1,7,1,30,1,8,1,7,1,6,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,6,2,13,1,7,1,6,2,29,1,30,1,6,2,29,1,13,1,6,1,13,1,6,3,13,2,6,1,7,1,6,4,13,1,6,3,30,1,6,1,28,1,6,2,29,1,7,1,28,1,6,1,8,1,6,1,28,1,6,1,7,1,6,1,30,2,6,2,30,1,6,2,7,1,30,1,29,1,30,3,29,1,28,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,29,1,30,4,28,6,29,1,6,1,28,1,29,1,30,5,28,4,30,2,6,1,28,3,30,2,28,9,30,1,28,3,30,3,28,1,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,16,8,1,17,3,8,1,6,2,13,1,28,1,30,1,28,1,30,1,28,10,30,1,13,1,6,2,8,1,13,1,9,2,10,1,12,2,30,1,28,6,12,1,24,1,6,1,28,43,8,1,30,1,28,3,30,1,17,2,13,1,30,1,28,5,29,1,6,1,13,1,17,3,28,6,13,1,28,8,}, {28,1,30,1,9,1,6,1,28,52,29,1,8,1,9,1,12,1,8,1,13,1,29,1,28,2,6,1,13,1,16,1,8,1,6,3,11,3,10,1,16,2,17,1,12,1,16,1,9,2,13,1,30,1,28,2,30,1,28,1,30,2,9,1,16,1,6,2,30,1,29,1,30,1,6,1,8,1,17,1,11,1,17,1,12,1,16,1,9,1,13,1,9,1,13,1,6,1,9,1,12,2,17,3,13,1,30,1,6,1,28,1,29,1,6,1,13,1,30,1,28,37,6,1,13,2,9,1,10,1,8,1,6,1,28,3,30,1,7,1,30,1,17,6,11,1,9,1,13,2,9,1,7,1,8,1,13,1,6,1,29,1,6,1,28,1,8,1,6,1,30,1,13,1,8,1,9,1,11,2,17,1,16,1,10,1,16,1,17,2,8,1,28,16,30,1,8,1,13,2,6,1,13,4,6,1,13,2,7,1,6,1,30,1,13,2,9,1,17,1,11,1,17,2,10,1,17,18,9,2,8,1,13,1,9,1,8,1,9,1,13,4,9,1,10,1,17,16,10,1,12,1,10,1,12,1,17,5,12,1,17,3,12,1,9,1,12,2,10,1,12,1,17,11,10,1,12,1,9,1,8,1,9,1,12,1,9,2,11,1,8,1,9,2,10,1,9,2,10,1,13,1,9,3,8,1,10,1,8,1,9,1,8,1,9,1,13,1,8,2,13,3,7,1,8,1,13,6,8,2,13,1,9,1,13,1,8,1,13,1,9,1,13,2,9,1,8,1,13,1,10,2,9,1,11,1,10,1,11,1,17,9,16,1,17,4,16,1,17,1,16,3,17,6,11,2,17,13,11,1,17,20,16,1,17,20,12,2,11,1,17,2,12,2,10,1,9,1,12,1,11,1,8,1,9,1,8,1,9,2,8,1,9,2,8,1,11,1,9,2,13,1,8,1,13,2,9,1,8,1,9,2,13,1,8,1,7,1,13,5,9,2,8,2,13,1,8,3,9,1,13,1,9,1,13,1,8,1,9,1,8,1,10,5,8,1,12,1,9,1,13,1,17,1,9,1,11,1,10,1,11,1,12,2,17,1,12,1,17,12,12,1,17,39,12,1,17,3,11,1,12,1,9,1,17,5,12,1,17,5,11,1,9,1,17,1,12,1,9,1,10,1,8,1,11,1,8,2,9,1,24,1,9,1,13,1,8,2,10,1,8,1,13,1,8,1,13,1,9,1,13,2,6,1,8,1,13,1,7,2,29,1,7,3,13,1,6,1,13,1,7,1,13,1,6,1,7,1,13,1,6,1,7,1,6,2,30,1,7,1,13,1,30,1,6,3,30,1,29,1,6,2,7,1,13,2,29,1,6,1,29,1,6,1,24,1,6,3,7,1,6,4,7,1,13,2,7,1,13,2,8,3,13,1,10,1,9,1,8,3,11,1,13,1,24,1,13,1,8,1,9,2,8,1,9,1,8,1,13,1,9,1,24,1,8,1,13,1,8,2,9,1,8,2,9,1,13,1,9,3,8,1,13,1,6,1,13,3,7,1,6,1,7,2,6,2,29,1,6,2,7,1,13,4,8,2,13,2,9,2,12,1,11,1,10,1,9,1,11,1,10,1,9,1,12,1,9,1,17,1,9,1,10,2,8,1,10,2,17,1,12,2,10,1,9,1,10,1,17,1,12,1,11,1,17,1,12,1,17,7,11,1,17,1,12,1,11,2,9,1,11,1,12,2,17,2,9,1,17,1,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,4,11,3,12,1,17,6,12,1,17,5,9,1,28,2,30,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,6,2,28,1,30,2,7,1,6,2,7,2,8,2,13,4,7,1,13,1,6,7,29,1,7,2,6,2,7,1,13,1,9,1,24,1,9,1,8,1,13,1,7,1,30,1,6,1,30,1,28,1,6,2,30,1,6,1,30,3,13,1,17,6,12,1,17,17,11,1,10,1,9,6,8,1,9,1,24,1,12,1,9,2,13,1,9,1,24,1,12,1,8,2,13,1,24,1,8,1,11,1,8,1,13,4,8,1,9,1,8,1,13,1,9,1,24,1,10,1,9,1,24,1,9,1,8,2,9,1,8,1,30,2,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,5,29,1,6,3,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,29,1,28,3,30,1,29,1,30,2,6,2,30,1,28,2,30,1,28,3,30,3,28,7,30,1,28,2,7,1,13,1,30,2,13,2,9,1,13,2,6,1,30,1,6,1,13,2,6,1,9,1,29,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,2,30,2,28,1,6,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,2,30,5,28,2,30,2,28,1,29,2,30,1,6,1,30,1,6,1,30,2,6,2,29,1,30,2,28,2,30,2,28,5,30,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,6,30,2,28,1,6,1,30,2,28,2,13,2,7,1,6,1,28,6,30,1,28,1,30,3,6,1,13,1,8,1,13,2,30,1,28,1,30,1,28,6,30,2,6,1,29,1,30,2,6,1,28,1,13,1,30,1,28,1,6,1,30,2,6,1,30,1,29,1,30,1,28,1,30,3,7,1,13,1,30,3,6,1,28,1,6,1,30,2,29,1,6,1,28,5,30,1,28,2,30,1,6,1,28,4,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,7,6,1,30,2,6,1,30,1,28,3,30,1,28,1,30,1,13,2,28,2,30,1,28,1,30,4,28,4,30,2,28,11,30,1,28,2,30,3,28,2,6,1,13,1,6,1,28,17,30,1,28,1,30,1,28,3,6,1,28,1,30,1,28,2,30,2,28,2,30,1,28,5,30,2,28,1,30,1,28,6,30,1,6,1,30,1,28,2,30,1,6,1,28,2,6,1,30,1,28,1,30,1,28,2,6,1,28,4,30,2,28,1,30,4,6,1,30,3,28,1,30,1,28,4,30,1,28,6,30,1,28,1,30,2,28,1,6,2,30,2,28,1,6,1,30,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,28,2,30,3,28,1,30,1,28,1,30,2,28,2,30,1,28,8,30,1,28,4,13,1,30,2,28,1,30,1,28,1,30,2,28,10,30,1,28,11,30,2,7,1,13,2,6,3,30,1,28,3,30,1,28,3,30,1,6,1,30,1,6,1,28,1,30,1,28,3,30,1,28,3,30,2,6,1,30,3,29,1,30,1,28,12,30,1,28,1,6,1,9,1,10,1,9,1,17,4,8,1,12,1,24,1,8,1,24,1,25,1,24,2,8,1,6,1,13,1,8,1,12,1,17,1,9,1,8,1,13,1,9,1,13,2,9,1,7,1,8,1,6,1,9,1,8,1,7,1,10,1,8,2,13,1,11,1,12,1,9,2,13,1,9,4,11,2,10,1,17,1,11,2,10,1,11,2,17,2,11,2,9,1,11,1,13,2,24,1,13,1,24,1,8,1,10,1,8,1,27,2,29,2,28,4,29,2,28,1,29,1,30,1,28,1,29,2,28,6,8,1,13,1,6,3,28,1,6,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,2,29,1,7,1,6,5,7,1,30,1,29,1,6,2,29,1,30,1,6,2,30,2,6,1,7,1,13,1,7,1,6,1,13,2,29,1,13,2,8,1,13,1,7,1,13,1,8,1,13,1,8,1,9,1,13,2,9,1,8,1,13,1,8,1,13,2,9,2,13,12,6,2,29,1,30,1,6,1,30,1,28,1,30,3,6,1,7,1,6,1,8,1,13,1,8,1,13,3,6,2,28,1,7,1,30,1,13,1,6,1,30,1,29,1,6,1,30,1,28,2,30,1,28,16,30,1,28,9,30,1,28,1,6,1,30,3,7,1,29,1,6,1,7,1,13,1,7,1,13,1,7,1,6,2,30,1,6,1,7,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,29,1,7,1,13,1,6,1,7,1,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,3,28,1,30,1,29,2,7,1,6,1,13,2,6,2,13,1,6,1,13,2,29,1,13,1,8,1,9,1,13,1,7,1,9,5,8,2,13,1,7,1,9,1,7,1,9,1,8,1,13,2,7,1,13,2,8,1,13,5,6,1,9,1,8,1,13,2,9,1,13,2,9,2,8,1,9,1,8,1,13,1,10,1,9,3,13,1,8,2,13,1,9,2,8,1,9,3,8,1,13,1,9,1,8,1,9,2,13,1,8,1,9,1,11,1,9,1,11,1,9,1,10,1,8,1,12,1,9,1,17,10,9,1,11,1,17,2,12,1,11,1,10,1,12,1,17,1,11,1,17,2,16,1,11,3,12,1,17,2,16,1,11,1,9,1,16,1,9,1,11,1,8,1,9,1,13,1,11,1,9,1,11,1,9,1,12,1,10,1,11,1,16,1,8,1,9,3,12,1,10,1,12,1,11,1,17,7,12,1,17,2,11,1,9,1,13,1,24,1,7,1,25,1,8,1,25,1,24,1,25,1,27,1,26,1,25,1,26,1,25,1,27,1,25,2,8,1,25,2,27,1,25,1,26,1,25,2,8,1,24,1,25,2,8,1,25,3,27,2,25,1,8,1,25,2,24,3,10,1,12,1,11,1,9,1,11,5,17,1,16,1,11,1,17,3,16,2,11,1,17,24,9,1,17,2,11,1,16,1,11,1,9,1,16,1,17,3,11,1,9,1,12,1,9,1,11,1,9,1,8,1,13,1,6,1,13,2,6,1,13,1,6,4,30,1,13,1,30,1,6,1,7,1,13,1,6,1,13,3,6,1,13,5,8,1,30,1,13,6,6,1,7,1,13,2,6,1,13,1,9,1,12,1,9,1,11,1,9,2,8,1,9,1,13,5,6,1,8,1,6,1,13,1,6,2,13,1,6,1,7,1,13,1,6,5,7,1,6,5,13,2,29,1,13,1,29,1,7,1,6,1,7,1,13,2,8,1,6,1,29,1,6,3,7,2,6,2,30,1,6,1,30,1,13,1,6,1,30,1,7,1,6,3,13,1,28,1,13,1,30,1,29,1,7,1,29,2,30,1,7,1,29,2,6,2,30,1,6,1,7,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,13,1,30,1,13,3,6,1,13,1,6,1,30,1,28,1,13,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,28,3,6,1,29,1,6,1,30,1,28,1,30,1,6,1,30,2,28,1,30,1,29,1,30,4,28,2,30,1,28,3,30,1,29,1,28,2,30,2,28,1,30,1,28,2,30,2,28,1,30,1,6,1,30,1,28,6,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,10,30,1,28,5,30,2,28,1,30,1,28,2,30,1,28,2,30,2,28,15,13,1,17,3,7,1,6,1,30,1,6,1,28,1,29,3,28,10,30,1,6,1,13,1,6,1,8,1,9,1,12,1,8,1,12,2,13,1,28,7,10,1,8,1,28,2,30,3,29,1,28,37,30,1,8,1,30,1,28,3,7,1,17,1,16,1,13,1,28,7,29,1,9,1,16,1,17,1,11,1,28,6,13,1,28,8,}, {6,2,16,1,28,28,6,1,30,1,28,2,29,1,28,20,30,1,13,1,24,1,8,2,13,1,6,4,8,1,17,1,9,1,8,1,30,1,13,1,9,2,11,1,10,1,17,2,11,1,17,1,8,1,9,2,8,1,29,1,28,2,30,1,28,1,30,1,28,1,24,1,9,1,13,1,6,1,28,1,30,2,6,1,8,1,16,1,17,1,16,1,17,1,9,2,13,1,8,2,13,2,9,1,17,2,12,1,17,1,6,1,8,1,28,1,30,3,7,2,28,37,29,1,13,1,7,1,9,2,13,1,6,1,28,2,30,2,7,1,28,1,17,5,16,1,17,1,16,1,8,1,11,1,13,1,8,1,6,1,28,1,7,1,6,1,29,2,7,1,6,2,13,1,8,1,7,1,16,1,8,1,11,1,17,1,11,2,17,2,8,1,28,16,6,1,9,1,8,1,13,1,30,2,13,2,7,1,6,3,13,1,30,1,28,1,29,1,7,1,13,1,10,1,11,1,17,1,12,1,17,1,11,1,17,18,11,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,17,1,11,1,17,20,12,1,17,8,9,1,17,8,12,1,17,3,12,1,17,5,8,1,9,1,12,1,9,1,8,1,9,1,8,1,11,1,13,1,16,1,8,1,9,2,8,1,9,2,16,1,9,1,8,1,9,1,8,2,13,1,8,1,13,1,8,1,13,3,6,1,13,2,6,1,13,4,8,1,7,1,9,1,8,4,10,1,13,2,8,1,9,4,8,1,9,2,11,3,17,9,16,1,17,2,16,1,11,1,17,3,11,2,17,8,16,2,11,1,17,5,16,1,17,5,11,1,17,1,16,1,17,8,16,2,17,6,16,1,17,22,11,1,17,2,12,1,17,1,12,3,17,1,10,1,9,1,11,1,13,1,9,2,13,1,9,1,8,5,9,1,8,2,9,1,8,1,13,2,8,1,9,1,8,1,9,1,8,1,13,2,9,1,7,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,10,1,8,3,13,1,11,1,10,1,12,1,9,6,10,1,17,1,9,1,12,1,17,1,12,1,17,56,12,1,9,1,17,3,12,2,17,5,11,1,17,4,12,2,11,1,10,4,13,1,11,1,9,1,13,1,9,1,13,1,9,1,13,3,9,1,8,1,9,1,8,2,7,2,13,3,7,1,13,1,7,1,13,1,29,1,7,2,6,1,13,1,7,1,8,1,13,1,6,1,7,2,6,1,29,1,7,1,6,3,30,1,7,1,6,3,29,2,7,1,29,1,6,1,30,1,6,1,7,1,29,1,13,1,7,2,6,2,29,1,30,1,7,1,6,4,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,11,1,8,1,9,1,11,1,9,4,11,1,9,1,24,1,13,5,7,1,13,2,9,1,13,1,8,1,13,2,8,2,13,2,7,1,13,2,8,2,7,2,6,1,13,1,6,1,13,2,7,1,6,1,7,1,6,2,7,1,13,3,9,2,8,2,10,1,9,2,11,2,12,1,10,1,12,1,9,2,12,1,10,1,12,1,10,1,9,1,11,1,9,1,8,1,10,2,12,1,11,1,12,1,11,1,17,2,10,1,9,1,17,1,12,1,17,4,11,1,12,1,17,1,11,1,17,5,11,1,12,2,10,1,9,1,17,1,12,2,11,1,17,1,10,1,17,3,10,1,17,2,10,1,11,1,17,17,9,1,13,3,7,1,6,1,28,1,30,4,28,1,30,1,6,1,30,2,28,1,6,1,30,1,6,1,29,2,6,1,7,2,13,1,6,2,28,1,6,1,29,1,6,1,7,1,6,1,29,1,7,1,30,1,6,1,13,3,6,1,29,1,8,1,24,1,8,3,13,1,29,1,30,2,6,1,30,1,6,2,30,1,29,2,30,1,28,1,9,1,17,21,9,1,12,1,17,2,12,1,13,1,8,1,9,3,8,1,9,1,8,1,9,1,24,1,12,1,9,1,11,1,8,1,24,1,8,2,9,1,13,5,8,1,13,1,8,1,13,1,6,1,13,1,24,1,7,1,8,1,24,1,8,1,9,1,24,1,9,1,10,1,9,1,11,1,9,1,6,1,28,2,30,9,28,1,30,1,6,1,30,2,6,2,30,3,28,1,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,2,28,3,30,1,28,2,30,1,28,1,30,1,28,2,6,2,28,2,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,13,1,30,2,28,2,30,2,6,5,30,1,29,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,2,30,3,28,2,30,2,6,1,28,1,6,1,30,5,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,6,28,1,30,1,6,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,3,6,1,30,1,29,2,6,1,30,2,6,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,6,1,28,3,30,1,28,2,30,3,28,1,30,5,28,1,30,1,6,1,7,1,6,3,30,2,28,4,30,1,7,1,13,4,7,1,28,2,30,2,28,1,30,1,28,5,30,6,28,2,6,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,13,1,6,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,2,6,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,3,6,3,30,4,28,2,30,1,13,1,8,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,6,13,1,30,1,28,7,30,1,28,4,30,3,28,3,30,1,28,3,30,2,28,4,30,1,28,3,30,1,28,1,6,1,28,1,30,1,28,8,30,2,28,5,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,4,30,1,6,1,28,1,30,4,28,1,30,3,28,1,30,1,28,2,30,4,28,1,30,1,28,5,30,2,6,1,28,1,30,1,29,1,30,1,6,1,30,6,6,1,28,1,30,3,28,1,30,1,28,4,30,1,6,1,30,2,28,1,30,2,28,2,29,1,28,2,30,1,28,1,30,1,28,3,30,1,6,1,30,1,28,4,30,1,28,1,30,1,28,1,6,1,30,1,28,8,30,1,28,1,30,1,28,2,30,1,28,5,6,1,13,4,6,1,7,1,30,1,28,3,30,1,28,3,30,1,28,1,6,1,30,2,28,1,30,1,28,1,29,2,30,1,28,1,30,1,28,1,30,1,6,2,28,1,30,1,28,1,30,2,28,15,13,1,9,1,11,2,17,1,12,2,17,1,10,1,24,1,8,3,10,1,24,1,26,1,6,1,7,1,24,1,9,2,8,1,9,1,13,3,9,1,8,1,13,6,10,2,9,1,13,1,9,1,10,1,9,1,10,1,9,5,11,2,10,1,12,1,11,1,17,1,9,1,11,5,9,3,8,1,13,2,8,2,12,1,24,1,25,1,27,1,29,1,27,1,29,1,30,1,28,1,30,1,28,1,29,3,6,1,28,2,30,1,29,1,28,6,7,1,13,1,6,1,30,1,6,2,28,3,30,1,28,3,30,1,28,1,30,2,29,1,6,1,30,1,6,1,30,1,13,1,6,3,30,4,6,1,30,1,6,2,29,1,6,4,30,1,6,1,13,1,7,1,13,2,8,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,13,4,8,1,13,1,9,1,13,4,29,1,6,1,13,1,6,1,13,6,6,1,7,2,6,1,7,1,6,2,28,1,30,1,28,1,30,2,29,1,30,1,13,1,6,1,13,2,9,1,8,1,13,1,8,2,6,3,30,1,13,1,7,1,6,1,13,1,6,2,28,22,30,1,28,6,30,1,28,1,6,2,30,1,29,1,13,1,6,1,13,3,7,1,6,1,13,1,29,1,30,1,7,1,30,1,6,1,30,1,13,1,7,1,30,1,6,3,13,1,6,1,13,1,6,1,29,1,30,1,6,1,30,4,28,4,30,1,28,1,30,1,28,1,30,1,6,1,30,2,29,1,30,2,28,1,30,1,6,3,13,2,6,1,13,9,9,1,8,1,9,1,11,1,9,3,13,1,7,1,13,3,7,1,13,1,8,1,13,3,8,1,9,2,13,1,8,2,13,2,6,1,13,2,8,1,13,2,9,1,13,3,8,2,11,1,9,2,8,1,13,1,9,1,13,1,12,1,8,1,9,1,8,2,9,2,11,1,10,1,13,1,9,1,11,1,13,1,9,3,8,1,9,1,13,1,9,4,10,1,9,1,11,1,17,10,10,1,17,2,16,2,9,1,17,1,12,1,17,2,10,1,17,1,11,1,17,4,12,1,9,1,12,1,11,1,9,1,12,2,11,2,9,1,12,1,9,3,11,2,12,1,10,1,9,1,10,1,9,1,11,3,17,10,11,2,17,1,24,1,13,1,8,2,25,1,24,1,25,1,26,1,25,1,26,1,27,1,26,1,25,2,8,1,25,3,24,1,25,1,26,2,25,2,24,3,8,1,25,1,27,1,29,1,8,1,26,2,25,1,8,2,9,1,24,2,11,1,10,1,24,1,11,3,10,1,11,2,9,1,11,1,17,4,11,1,17,2,11,1,17,3,11,1,17,2,12,1,17,1,11,1,17,2,16,1,17,2,11,1,16,1,11,1,17,5,12,1,17,2,16,3,11,1,9,1,11,1,9,1,17,3,11,1,17,3,9,1,13,1,8,2,13,5,6,1,13,2,6,3,13,1,6,4,13,1,6,1,13,7,6,1,13,4,6,1,7,1,13,1,6,2,13,4,16,1,11,1,9,1,16,1,9,1,13,1,8,1,13,5,8,1,13,2,6,1,13,1,6,1,7,2,6,1,13,1,6,3,13,3,6,1,30,1,6,1,30,1,13,1,28,1,7,1,6,4,7,1,6,1,13,1,29,1,13,1,6,1,13,4,6,1,7,1,30,1,7,1,6,1,7,1,6,8,29,1,6,1,7,1,13,2,6,1,7,1,6,2,13,1,30,1,6,1,30,1,6,8,13,1,29,2,6,1,29,1,7,1,30,1,13,2,6,2,29,1,6,2,28,1,30,1,6,5,30,1,29,1,6,2,30,1,6,1,30,1,6,1,29,2,30,1,6,1,28,1,29,3,30,5,29,1,30,1,29,1,30,2,6,1,28,1,29,1,28,1,30,2,28,1,30,2,28,3,30,1,28,1,30,1,6,1,30,1,28,2,30,3,28,7,30,3,28,1,30,1,28,1,30,2,28,7,30,1,28,1,30,1,28,5,30,7,28,2,30,1,28,1,6,1,28,15,13,1,17,1,16,1,17,1,13,1,6,2,28,1,6,1,7,1,28,13,13,1,7,1,30,1,8,1,9,1,8,3,12,1,13,1,28,6,29,1,9,1,8,1,6,1,28,1,29,1,30,1,28,40,24,1,28,4,13,1,17,2,13,1,29,1,28,6,6,1,13,1,17,2,13,1,28,5,29,1,13,1,28,8,}, {30,2,16,1,6,1,28,53,24,1,9,2,11,1,13,1,30,1,6,1,30,2,9,2,11,1,13,1,7,1,13,1,9,1,13,1,12,1,17,2,11,1,17,1,12,1,16,1,17,1,9,1,13,1,6,1,30,1,6,2,29,1,28,1,6,1,9,2,13,2,6,2,29,1,28,1,9,1,17,3,10,1,11,2,13,1,24,1,7,1,13,1,8,2,10,1,17,3,9,1,29,1,6,2,29,1,6,1,13,1,6,1,28,37,6,1,13,2,8,2,13,1,28,3,29,1,30,1,7,1,29,1,17,7,16,1,11,1,9,2,8,1,6,1,29,1,7,1,29,1,6,1,13,1,6,1,7,1,13,2,8,1,9,1,8,1,9,1,11,2,9,1,16,1,17,2,13,1,28,16,29,1,8,1,13,1,6,1,30,1,28,1,30,1,8,1,13,1,7,1,28,1,30,1,28,1,30,1,28,2,6,1,13,1,9,1,10,1,11,1,17,1,12,1,17,20,16,1,11,2,16,1,11,1,17,23,12,1,17,17,12,1,17,3,12,2,17,4,11,1,9,1,11,1,10,1,13,1,9,5,8,2,9,1,8,1,9,2,8,1,9,1,8,1,9,1,11,1,10,1,8,3,13,1,9,1,7,1,13,1,7,2,29,1,13,1,6,2,13,2,6,1,13,2,8,1,13,1,8,1,9,1,13,2,9,1,8,2,9,1,8,1,13,1,8,1,13,1,9,2,11,1,9,1,16,1,11,1,17,2,16,1,17,10,16,2,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,11,1,17,1,16,1,11,1,17,1,11,1,16,1,17,4,16,1,11,1,16,1,17,12,16,1,17,12,11,1,17,20,12,1,17,5,11,1,10,1,11,1,9,1,13,1,9,1,8,1,13,1,9,2,8,1,13,1,9,1,8,2,13,3,9,1,13,1,8,1,9,1,13,4,9,2,13,1,9,1,8,1,13,2,11,1,13,1,8,1,13,1,8,5,9,1,10,1,9,1,13,1,11,1,12,3,10,1,9,1,11,1,8,1,12,1,9,1,17,19,11,1,17,1,11,1,17,24,11,1,12,1,17,16,11,1,17,1,11,1,17,4,12,1,17,7,10,2,9,2,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,10,1,9,1,17,1,11,2,8,3,13,3,7,1,13,1,7,1,13,1,30,1,6,2,7,1,6,1,7,6,13,1,7,1,6,2,30,1,6,2,29,1,6,1,30,1,29,1,6,2,30,1,6,1,7,1,6,1,7,1,6,1,29,2,6,1,29,1,13,1,7,2,30,1,6,2,29,1,6,2,7,2,13,2,9,1,8,1,9,1,8,2,9,2,24,1,10,2,9,2,24,1,10,1,9,3,10,1,8,1,9,1,8,1,13,2,8,1,7,1,8,1,13,1,8,4,13,1,9,1,7,1,9,1,24,1,8,1,13,2,8,1,13,1,8,1,6,1,13,2,6,2,13,1,6,1,7,1,13,1,8,1,6,1,8,1,13,1,8,1,13,2,9,1,8,1,9,3,11,2,9,1,10,2,9,2,11,1,9,3,12,1,11,2,10,1,8,1,9,1,10,1,12,1,9,2,17,1,11,1,9,1,17,1,12,3,17,4,12,2,17,1,12,2,11,1,17,1,12,2,11,1,17,2,12,1,17,1,12,1,17,1,12,2,17,1,9,1,17,3,11,1,17,1,11,1,17,1,12,1,17,18,11,2,8,1,13,1,29,2,30,1,29,1,30,4,6,1,30,4,6,1,29,1,6,1,7,1,6,2,30,1,29,1,6,7,29,1,6,1,30,1,6,1,7,1,6,2,29,1,13,3,8,2,7,1,13,1,28,2,30,1,28,1,6,8,17,1,11,1,17,20,11,1,17,1,11,1,9,1,12,1,8,1,11,1,10,1,8,1,11,1,9,1,11,1,9,2,11,1,9,2,24,1,8,1,10,1,8,1,9,2,8,2,10,1,13,1,8,3,7,1,8,1,13,1,9,1,13,2,24,1,13,1,24,1,13,1,8,2,9,1,24,1,9,1,8,1,30,2,28,1,30,1,28,1,30,3,6,1,28,1,30,1,28,2,30,5,6,1,7,1,28,1,6,1,28,1,29,1,30,1,6,1,30,2,28,1,30,1,28,4,30,1,28,1,30,3,28,3,30,1,28,1,30,1,28,4,30,1,28,5,30,2,28,2,30,1,28,2,30,2,28,2,13,2,30,1,28,4,30,3,28,2,6,2,30,2,28,1,30,1,28,1,30,1,28,2,30,7,28,2,6,1,28,1,30,3,6,1,28,1,29,1,6,1,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,8,28,1,30,1,28,1,6,1,28,2,30,3,28,1,30,1,6,1,30,1,28,2,30,2,29,1,28,1,30,3,6,1,28,1,30,1,6,1,30,1,28,1,30,1,29,1,30,3,28,1,30,2,28,1,30,1,28,1,30,4,28,1,30,2,28,2,30,2,6,1,30,2,28,1,30,2,28,1,30,1,6,1,30,1,28,1,30,3,28,2,30,1,7,1,13,1,6,1,30,1,6,1,30,1,28,2,7,1,6,1,13,3,6,1,13,1,6,1,13,1,30,3,28,7,30,1,13,1,6,1,28,2,30,1,28,4,6,2,30,1,6,1,28,2,30,1,13,1,7,1,30,1,6,1,28,1,30,2,6,2,30,2,28,3,30,2,28,1,30,2,28,1,30,1,28,4,30,2,28,1,30,2,28,4,30,1,28,1,30,2,28,1,30,3,28,2,30,4,6,1,30,1,13,1,6,1,7,1,30,2,6,1,30,2,7,1,13,2,28,5,30,1,28,2,30,2,28,10,29,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,13,1,28,1,30,1,28,2,30,1,28,7,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,6,29,1,13,1,28,12,30,1,28,4,30,2,28,1,30,1,28,1,29,1,28,1,6,1,28,2,6,1,30,1,28,1,30,2,28,1,6,1,28,1,30,2,28,2,30,1,28,3,30,2,28,1,30,2,28,4,30,1,28,2,30,1,28,3,6,1,30,1,29,1,30,5,6,1,28,1,30,1,28,1,13,2,6,2,30,2,6,1,28,1,30,6,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,3,30,1,6,1,28,1,30,1,6,1,9,1,13,3,30,1,6,1,28,2,30,1,28,1,6,1,30,2,28,2,30,1,28,3,30,2,28,10,30,1,9,1,6,3,30,1,6,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,2,28,1,6,3,30,1,28,1,30,2,29,1,30,1,28,15,6,1,13,1,17,2,12,1,17,2,12,1,24,1,8,1,24,1,8,2,24,1,25,1,29,1,26,1,8,1,12,1,17,1,9,1,13,1,8,1,9,1,13,5,8,1,9,1,13,3,9,1,8,1,9,4,10,1,9,1,11,1,13,1,9,1,10,1,9,3,11,1,9,2,17,1,8,1,10,1,11,2,17,1,11,2,17,1,8,1,13,3,24,4,25,1,27,2,29,1,27,1,29,1,30,1,28,1,30,1,6,1,30,3,28,1,30,1,6,2,30,2,28,4,13,2,7,1,6,1,30,1,28,3,30,3,28,1,30,1,28,1,6,1,28,2,30,1,28,3,30,1,8,1,6,1,30,2,28,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,2,7,1,30,1,13,1,30,1,13,2,7,1,13,5,9,1,13,2,8,1,13,4,8,1,9,2,13,1,8,1,13,4,7,2,13,1,6,1,7,1,13,4,6,1,13,2,28,1,6,2,29,1,30,3,6,1,28,1,29,1,6,1,13,4,9,2,8,1,13,1,6,1,7,2,28,1,13,2,6,1,7,1,6,1,7,1,28,20,30,2,28,7,30,1,6,1,30,1,29,1,6,3,13,2,6,1,13,1,6,1,7,2,13,1,6,1,29,1,6,1,7,1,30,1,6,1,13,1,29,1,6,1,7,1,13,1,30,1,7,1,6,1,7,1,6,2,29,1,30,1,6,1,28,1,30,1,28,1,30,4,28,1,30,1,29,1,30,4,29,1,30,1,6,1,30,1,29,1,6,3,13,1,7,1,13,5,9,1,13,1,9,2,8,1,9,1,12,1,9,1,11,1,9,3,13,2,8,1,13,1,9,1,8,1,7,1,6,1,8,2,13,1,7,1,8,1,6,1,13,7,8,1,13,5,8,1,13,1,9,1,13,1,8,1,12,1,13,1,9,1,8,2,9,1,13,1,8,1,9,4,8,1,9,1,10,1,9,1,10,1,13,2,9,10,11,1,9,1,10,1,17,11,11,1,17,1,10,1,12,1,16,2,10,1,12,1,16,1,17,2,16,1,17,1,12,2,17,1,11,1,9,1,11,1,17,2,9,2,17,1,9,2,10,3,16,1,8,1,10,1,12,1,9,1,10,1,11,2,10,1,11,2,17,2,12,1,17,4,12,1,17,2,11,1,12,2,10,1,24,1,8,2,24,1,8,1,26,1,8,1,25,7,8,1,25,4,24,7,8,3,25,3,26,1,25,1,24,1,8,1,24,1,12,2,9,2,11,1,9,3,11,1,17,1,11,2,16,1,11,2,9,1,17,1,11,4,16,1,17,1,11,4,17,1,12,1,11,2,16,1,17,2,11,1,17,1,16,1,17,9,16,1,17,1,11,6,17,5,10,1,8,1,13,2,6,1,7,1,13,2,6,1,7,1,13,1,6,3,13,2,6,3,13,1,7,1,6,2,13,2,7,1,13,1,6,1,13,3,6,2,13,7,6,2,7,1,13,1,9,1,13,1,8,2,9,1,13,2,8,1,13,2,8,1,13,2,6,1,8,1,7,1,13,2,7,2,6,5,7,1,29,1,13,4,6,4,30,3,6,5,8,1,13,1,6,1,29,1,30,1,6,2,13,1,6,2,7,1,6,5,29,2,7,1,6,6,30,1,7,2,13,1,30,1,6,2,29,1,13,1,6,3,29,1,13,1,6,2,29,1,6,1,30,1,7,1,6,2,13,1,8,1,13,1,30,1,29,2,6,1,30,1,6,1,30,2,6,2,29,1,6,2,30,1,29,1,6,5,28,1,30,1,6,1,30,2,6,1,28,2,30,6,29,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,30,2,28,6,30,1,28,1,30,2,6,1,30,1,28,11,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,7,30,3,6,2,30,1,6,1,28,1,30,2,29,1,28,15,9,1,17,2,16,1,13,1,6,1,28,1,6,2,28,2,29,1,28,10,30,1,6,2,29,1,8,1,10,1,8,1,9,2,12,1,8,1,28,6,6,1,8,1,9,1,13,1,28,2,30,1,28,40,13,1,29,1,28,3,16,1,17,2,13,1,29,1,28,5,30,1,6,1,9,1,16,1,17,1,6,1,28,5,13,1,9,1,28,8,}, {28,2,14,1,8,1,28,45,30,1,28,5,30,1,28,1,6,1,10,1,9,1,11,1,8,1,7,2,13,1,8,1,9,1,12,1,8,1,28,1,6,2,9,2,17,1,9,1,12,1,10,1,17,3,16,2,13,1,7,1,28,1,30,2,28,1,30,1,28,1,8,1,9,1,13,1,7,2,30,1,29,1,30,1,13,1,17,2,11,1,10,1,12,1,11,1,13,1,8,3,7,1,8,1,16,1,17,3,9,1,29,2,30,1,28,1,30,3,28,37,7,1,29,1,8,2,13,2,28,7,11,1,17,4,16,1,17,1,16,1,11,1,16,1,24,1,12,1,13,1,6,2,30,1,8,1,6,1,13,2,7,1,13,1,24,1,13,1,9,1,10,1,11,1,8,1,12,1,11,1,17,2,13,1,28,16,30,1,13,2,6,1,29,1,28,2,13,1,8,1,29,1,28,1,30,1,28,4,30,1,6,1,13,1,9,1,10,1,11,2,17,3,12,1,17,3,16,1,17,68,12,1,10,1,13,1,8,4,13,2,8,1,9,1,13,1,9,2,8,2,9,1,8,1,13,1,8,1,9,1,8,1,13,3,8,4,13,4,7,1,13,2,8,1,13,2,6,1,9,1,13,1,8,1,9,1,10,1,13,2,8,1,9,1,13,1,9,1,8,4,9,2,11,2,16,1,17,1,16,2,17,10,16,1,17,1,11,2,17,20,11,1,17,11,16,1,17,7,16,2,17,5,11,1,17,21,12,4,17,1,10,1,17,1,9,4,8,1,9,1,8,1,13,1,9,1,13,2,8,1,13,1,9,1,13,2,8,2,13,1,9,1,8,2,9,1,8,3,9,1,13,3,8,1,13,1,8,3,13,1,8,1,9,1,8,1,9,1,11,1,10,1,11,2,17,2,12,1,17,1,11,1,10,1,17,1,9,1,12,1,17,20,12,1,17,44,12,1,17,1,11,1,17,11,12,1,10,1,9,1,8,1,9,3,8,3,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,13,2,8,1,7,1,6,1,13,1,7,2,13,2,7,1,8,1,7,1,13,1,7,1,13,2,7,1,6,1,7,2,29,1,6,1,30,1,29,1,6,1,29,1,6,2,29,2,6,1,29,2,6,1,7,2,6,3,29,1,6,1,7,1,13,1,7,1,30,1,6,2,29,1,6,2,29,1,13,1,8,1,13,2,9,3,10,1,9,5,8,1,9,1,8,1,12,1,10,1,9,1,24,1,10,1,8,4,13,2,6,1,7,2,13,1,6,1,13,4,8,1,13,1,8,1,13,4,9,1,13,1,8,1,13,4,29,1,6,1,8,1,7,1,13,1,6,2,8,2,9,1,8,1,9,1,11,1,9,1,10,1,8,1,9,1,11,1,9,1,12,2,9,1,17,1,9,1,12,2,10,1,12,1,9,3,11,1,8,1,12,1,17,1,9,1,17,1,11,1,12,1,9,1,10,1,17,1,11,1,17,2,12,1,17,2,12,2,11,1,17,3,12,1,11,1,12,1,17,1,11,1,17,1,11,1,17,2,11,1,17,2,12,1,17,1,12,1,17,3,11,1,17,2,11,2,12,1,17,21,11,1,6,1,28,2,30,1,29,1,30,1,28,1,6,1,30,2,29,1,30,1,29,1,6,2,29,1,6,1,29,1,6,1,30,1,29,1,13,1,6,1,29,1,6,1,30,1,29,1,30,2,6,5,30,1,6,1,8,1,13,2,29,1,6,1,13,1,28,2,30,2,6,1,13,1,30,1,6,2,30,2,8,1,17,22,9,1,11,2,12,1,9,2,24,1,9,1,10,1,9,1,10,1,24,1,8,1,24,1,8,1,9,2,24,1,8,1,9,2,24,1,7,1,10,1,8,1,13,1,6,1,24,2,8,6,13,1,24,1,8,1,9,1,8,1,24,2,8,1,9,1,8,1,11,1,30,1,29,1,28,1,30,3,6,1,28,2,30,1,29,1,30,3,28,1,30,2,6,2,30,3,6,1,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,2,6,1,28,2,30,5,28,4,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,2,30,2,28,1,6,1,8,1,13,1,29,1,30,4,28,4,30,1,28,3,30,1,28,2,30,3,28,1,30,1,28,1,30,10,28,1,30,3,6,1,30,3,28,1,30,2,28,2,30,1,28,1,30,4,29,1,6,1,28,1,6,1,30,2,28,4,30,2,28,1,6,1,28,1,30,1,28,1,30,4,29,1,30,1,7,1,6,2,28,1,6,3,30,1,29,1,30,1,29,1,30,1,6,1,30,2,28,1,30,1,28,1,30,4,28,1,30,3,28,2,30,1,28,1,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,13,1,6,2,13,1,30,1,29,1,30,1,13,1,8,1,13,1,8,1,6,2,30,1,6,1,30,2,28,1,30,2,28,1,30,1,28,2,6,1,28,1,30,1,9,1,6,2,30,3,28,3,30,2,6,1,30,1,28,2,30,2,13,1,6,1,30,1,13,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,13,2,30,1,28,2,30,2,6,1,28,2,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,2,13,1,6,1,29,1,13,2,6,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,1,30,2,28,2,6,1,28,2,30,5,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,13,1,6,1,28,5,29,1,28,2,30,1,28,5,6,1,30,1,28,4,30,1,28,1,30,1,28,3,6,1,28,9,6,1,28,11,30,1,28,4,30,4,28,4,30,2,28,2,30,1,28,7,6,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,4,28,1,6,1,28,3,30,1,28,3,30,1,6,1,30,1,6,2,30,1,6,1,30,1,7,1,6,1,7,1,8,1,6,2,7,1,6,4,30,1,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,3,28,5,30,1,28,1,29,1,28,1,6,2,13,1,6,1,28,2,30,1,6,1,7,1,6,1,30,1,28,3,30,2,28,4,6,1,13,2,28,1,30,1,28,7,6,1,13,2,6,3,28,1,30,1,28,1,30,2,28,14,30,1,28,2,6,2,30,3,28,4,30,2,13,1,28,13,30,1,6,1,8,1,17,2,11,1,12,2,24,1,8,1,10,1,8,2,24,1,8,1,27,1,26,1,8,1,24,1,8,1,9,1,8,1,13,1,7,1,8,1,7,1,13,1,9,1,13,1,8,1,9,1,10,1,8,1,13,1,9,6,10,1,9,2,11,1,9,2,8,1,10,2,9,1,17,1,9,1,17,1,10,1,9,1,17,1,9,1,12,1,10,1,9,2,10,1,24,1,7,1,13,1,8,1,24,1,8,1,12,1,8,1,25,1,27,2,30,1,29,1,30,1,29,1,28,2,29,1,30,2,28,2,29,1,6,1,29,1,30,1,28,5,13,2,7,1,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,3,6,1,13,1,30,1,28,1,30,2,6,1,30,1,28,1,6,1,30,1,28,1,6,1,30,3,6,2,30,1,7,1,13,1,6,1,7,1,13,5,9,1,11,1,13,2,9,1,13,3,8,1,13,3,9,1,8,2,13,1,7,1,13,4,6,1,7,1,13,1,6,1,13,2,6,1,29,1,6,3,30,1,6,1,30,1,29,1,30,1,29,2,30,1,6,1,13,4,8,1,9,2,8,1,13,1,7,2,13,3,7,1,6,2,7,1,30,1,28,27,30,1,28,1,29,1,7,1,6,5,13,3,7,1,13,2,6,1,7,1,30,2,6,5,30,3,6,1,30,2,6,1,30,1,6,2,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,1,29,2,30,1,6,1,30,3,6,1,30,1,13,8,9,4,17,1,10,1,9,2,13,4,7,1,13,1,8,2,13,1,8,1,13,1,8,1,13,1,7,1,13,1,8,1,13,1,8,1,9,1,8,1,13,10,8,1,9,1,13,2,9,3,8,3,9,4,8,1,9,3,10,1,11,1,9,2,8,1,12,1,9,1,8,1,11,1,9,9,10,1,12,1,11,1,12,1,17,7,12,1,17,1,12,2,10,1,11,1,17,4,12,1,17,1,11,1,17,1,16,1,10,1,17,1,11,1,10,1,16,1,10,1,16,1,11,1,10,2,12,1,9,1,10,1,12,1,9,2,10,1,11,1,12,1,11,1,17,1,9,1,17,1,16,1,12,1,11,2,17,10,11,1,17,1,11,1,17,1,8,1,9,1,8,4,25,3,8,1,24,1,8,1,25,3,24,11,8,1,24,1,8,1,24,2,8,1,12,1,9,1,10,1,17,1,12,1,9,2,11,1,17,1,11,3,12,1,11,5,12,1,11,5,10,1,11,1,10,1,17,1,11,1,17,1,16,1,17,1,11,1,17,2,11,1,17,3,12,1,17,3,11,2,17,1,12,1,17,1,16,1,11,1,10,1,11,2,9,1,10,1,11,2,17,6,11,1,8,1,13,6,6,1,7,2,6,1,29,1,13,1,6,2,7,1,6,1,13,3,29,1,6,1,7,1,13,4,6,1,13,4,6,2,13,1,6,2,29,1,6,1,7,1,13,2,9,1,10,1,11,2,9,1,8,2,6,1,8,1,6,1,13,4,6,1,13,2,6,1,30,1,6,1,13,1,6,1,29,1,6,2,13,1,7,1,13,1,6,3,30,1,6,1,7,1,6,1,30,1,13,1,6,2,30,1,6,2,13,2,8,1,13,1,6,1,13,1,6,1,30,1,29,1,13,1,6,5,7,2,6,3,7,1,30,1,6,1,7,1,6,1,7,1,6,10,30,2,6,3,30,1,6,1,30,1,7,2,6,1,30,1,6,1,13,1,6,1,29,1,6,1,30,1,6,1,29,1,28,1,6,2,30,2,29,1,30,2,6,2,28,1,6,1,30,5,28,1,30,2,6,1,30,1,6,1,28,1,6,1,30,1,6,1,29,1,30,1,28,1,30,2,28,1,6,1,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,2,28,3,30,2,6,1,28,7,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,3,30,2,6,1,30,1,28,1,6,1,30,2,29,1,30,2,28,1,6,1,30,1,28,15,10,1,17,2,11,1,8,1,6,1,29,1,6,1,28,1,30,1,28,1,30,1,28,10,30,1,6,1,30,1,7,1,8,2,13,1,9,1,8,1,9,1,13,1,28,6,30,1,10,1,8,1,28,2,30,1,28,41,9,1,28,4,13,1,17,2,8,1,28,6,6,1,13,1,9,1,11,1,17,1,7,1,28,5,7,1,9,1,28,8,}, {28,1,6,1,9,2,28,46,30,3,28,4,6,1,17,1,9,1,17,1,9,1,8,1,13,1,9,1,13,1,7,1,9,1,12,1,9,1,6,1,13,2,10,2,17,1,12,1,17,1,12,1,17,2,11,1,10,1,8,1,7,1,30,1,28,1,6,1,28,1,30,1,28,1,9,1,8,1,9,1,6,1,13,1,6,2,28,1,13,1,12,1,17,1,9,1,16,1,10,1,9,1,13,2,8,1,13,1,12,1,9,2,11,1,17,2,8,1,13,1,6,1,28,1,6,2,24,1,8,1,28,37,30,1,8,2,9,2,8,1,30,1,28,2,30,2,6,2,9,1,17,6,16,1,11,1,9,1,10,1,8,1,13,1,6,2,7,1,30,1,6,2,7,1,6,2,7,1,8,1,13,1,9,2,11,1,16,2,17,2,8,1,28,17,13,2,7,1,28,2,30,1,7,1,8,1,6,1,30,1,28,5,30,1,6,1,13,1,8,2,10,1,8,1,17,2,12,2,17,1,12,1,17,1,11,1,17,61,12,1,17,6,9,1,8,1,9,1,8,1,13,1,9,1,8,2,9,1,8,1,13,1,8,1,9,1,13,1,9,2,11,1,13,1,9,1,8,1,13,1,8,1,7,1,13,2,8,1,13,2,6,2,13,2,30,1,8,1,13,1,7,1,13,2,9,1,13,4,8,2,11,1,10,1,9,1,8,1,9,1,8,2,9,1,13,1,8,1,11,1,12,1,11,1,17,1,16,1,17,11,11,1,17,1,16,1,17,1,16,2,17,1,16,1,17,6,16,1,17,2,12,1,16,1,17,4,16,1,17,1,16,1,17,1,11,1,17,1,11,1,17,20,16,1,17,23,11,1,12,2,17,2,12,2,10,1,12,1,9,2,13,1,9,2,17,1,9,1,13,1,9,2,8,1,13,1,9,1,13,1,8,1,13,2,9,2,8,1,9,1,8,1,9,1,8,1,9,1,8,2,9,3,13,2,9,2,13,1,8,1,9,1,13,1,9,2,11,1,9,1,11,2,17,1,11,1,17,1,12,1,11,2,17,81,10,1,11,3,8,1,9,1,8,1,9,1,8,4,9,2,13,1,9,1,13,1,8,1,7,1,13,1,7,1,8,1,13,1,6,1,13,1,7,1,13,3,7,1,6,1,7,1,6,1,8,1,7,1,6,1,7,1,6,2,29,1,6,1,30,1,6,1,29,1,6,4,30,1,29,1,6,2,30,1,6,1,29,1,6,1,29,1,6,3,13,1,6,1,7,1,6,1,30,1,6,2,30,1,6,1,13,1,8,1,9,1,11,1,9,1,12,1,9,1,10,1,8,1,10,2,8,1,11,1,8,1,11,1,9,3,8,1,10,1,9,1,8,2,24,1,8,1,13,1,7,1,13,1,8,4,13,1,9,1,13,1,7,1,8,4,9,1,8,1,13,1,8,3,9,1,13,1,8,1,7,1,13,7,24,1,6,1,10,1,9,1,13,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,12,1,9,3,10,1,17,1,12,1,9,2,17,1,11,1,17,1,9,1,12,1,10,2,11,1,12,1,9,1,11,1,9,2,17,1,10,1,17,1,8,1,17,1,12,4,10,1,17,7,10,1,11,1,12,1,17,1,11,2,17,3,11,1,17,4,11,1,17,2,12,1,11,2,17,1,12,1,17,22,9,1,13,1,28,1,6,1,29,1,30,1,29,1,30,4,29,1,30,5,29,1,30,1,6,2,13,1,6,2,30,1,6,1,30,3,6,3,29,1,6,2,13,2,6,3,30,2,29,1,30,2,6,2,30,2,29,2,30,1,10,1,17,21,11,2,10,1,11,1,24,1,9,3,10,1,9,1,24,1,9,1,8,1,10,1,9,1,8,1,24,2,9,1,24,1,8,1,7,1,9,1,8,1,9,1,10,1,13,1,24,1,13,2,24,1,13,1,8,3,24,1,8,4,10,1,8,3,9,1,13,1,9,1,6,1,30,1,28,1,30,1,6,1,30,5,6,1,29,1,28,2,6,1,30,3,13,1,7,1,30,3,28,1,6,1,30,4,28,4,30,1,28,1,30,1,6,1,30,2,28,3,30,1,28,2,30,1,28,3,30,1,28,1,30,5,28,1,30,2,29,1,30,1,28,2,6,1,9,1,6,1,30,1,28,2,30,1,28,3,30,2,28,3,30,3,28,1,30,2,28,3,30,1,28,1,30,4,28,1,30,5,6,1,28,2,6,2,30,3,6,1,30,4,28,1,29,1,30,1,28,1,29,1,30,2,28,1,30,2,28,1,30,4,28,1,30,1,6,1,29,1,30,4,28,2,30,2,28,1,30,2,6,1,30,1,6,1,30,5,28,1,30,3,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,4,6,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,4,30,1,28,2,30,1,6,2,13,1,7,1,13,2,8,1,13,4,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,13,4,29,1,13,2,6,1,30,2,28,1,30,1,28,2,6,1,30,1,28,1,30,2,6,4,30,1,28,2,6,1,30,1,28,1,6,1,30,2,28,2,6,1,30,1,28,2,30,1,28,1,30,1,6,1,30,6,28,10,30,1,28,1,30,1,28,1,30,4,28,1,6,2,13,1,6,1,30,1,13,1,29,1,6,2,29,1,28,8,30,1,28,2,30,1,28,1,30,1,28,1,6,1,29,1,28,3,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,6,11,1,30,1,28,1,30,1,28,7,30,1,28,2,30,2,28,1,30,1,29,1,28,6,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,13,1,9,1,13,1,28,4,30,2,28,6,30,1,28,4,30,4,28,2,6,1,28,3,29,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,6,1,30,1,28,1,29,1,30,1,28,5,30,1,28,3,30,2,28,1,6,1,29,1,28,1,30,2,7,2,30,1,29,1,30,4,6,3,29,1,6,1,29,1,28,1,30,1,28,2,6,1,28,2,30,2,28,4,30,2,28,1,30,2,6,3,7,1,30,1,28,2,30,1,6,2,30,2,28,8,7,1,6,1,28,6,30,1,28,1,30,1,28,1,13,3,30,2,6,1,28,1,30,1,28,3,30,1,28,15,30,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,2,6,1,13,1,28,13,30,1,7,1,11,2,17,1,12,1,11,1,9,1,8,1,24,2,8,2,24,1,25,1,27,2,8,1,24,2,10,1,6,1,8,1,13,2,9,1,13,1,9,4,13,1,9,2,13,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,8,1,11,2,9,1,11,1,9,1,11,4,17,1,11,1,10,1,11,1,9,2,8,1,6,1,8,3,24,1,9,1,25,2,27,1,29,5,28,1,29,2,30,1,29,1,30,1,28,1,30,1,29,1,28,1,30,2,28,4,13,2,6,1,29,1,30,2,28,1,30,2,28,2,30,2,28,2,30,1,28,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,29,2,30,2,29,1,28,1,6,1,13,1,30,1,13,1,7,1,6,1,13,1,6,1,9,1,13,2,9,2,8,1,13,1,9,1,8,2,9,1,13,2,9,1,13,1,8,1,13,2,9,1,13,2,8,1,13,1,6,1,13,3,6,2,7,1,6,2,30,1,13,1,29,1,30,1,7,1,30,1,29,1,30,1,13,1,30,1,7,1,13,2,8,1,11,1,13,1,9,1,8,2,13,3,8,1,7,2,13,3,30,2,28,25,30,3,6,1,30,1,6,2,29,1,13,6,6,2,30,2,6,1,29,1,6,1,28,1,30,3,29,1,6,1,28,1,29,1,30,1,6,2,7,1,6,1,30,1,6,1,28,1,30,1,28,1,30,2,28,1,30,3,28,3,30,1,29,1,28,1,30,2,6,3,30,1,6,1,13,1,6,2,13,1,8,1,13,1,9,3,8,1,9,2,13,1,9,2,11,1,10,1,29,1,13,7,8,1,13,1,7,1,13,3,7,1,6,1,13,2,6,1,8,1,13,1,9,1,13,1,9,1,13,2,8,1,13,1,9,1,13,5,8,1,10,1,8,1,9,1,13,1,8,1,9,2,8,3,9,1,8,1,11,1,16,1,12,1,8,1,11,1,10,1,11,1,9,1,8,1,17,1,8,1,11,1,10,1,9,3,17,1,10,1,16,1,9,1,11,1,10,1,17,12,16,1,17,1,11,1,17,1,12,1,17,1,11,1,10,1,11,1,9,1,11,1,12,1,16,2,17,1,11,1,12,3,11,1,10,1,11,1,12,1,9,1,11,4,17,1,12,2,17,2,12,1,17,1,12,1,17,1,11,1,12,1,17,13,11,1,12,1,8,3,24,1,8,1,25,1,24,1,8,2,25,1,8,1,24,1,12,1,24,1,12,1,24,3,8,2,24,2,10,1,8,1,24,1,9,1,24,1,8,2,12,1,9,1,12,2,9,1,17,1,9,1,12,2,9,2,11,1,9,1,17,1,11,4,9,1,11,7,17,1,16,1,17,1,11,1,17,1,10,1,17,1,11,1,17,1,16,1,17,2,16,2,11,1,12,1,17,1,11,1,17,2,11,2,17,2,11,1,16,1,11,1,17,1,10,1,11,2,17,1,16,1,17,5,11,1,8,1,13,1,6,1,13,5,6,1,13,2,7,1,13,1,6,1,7,2,6,5,13,1,6,1,13,5,6,1,13,4,7,1,6,1,13,2,6,1,13,1,6,1,7,1,13,2,11,1,9,1,10,1,11,1,8,1,13,2,8,1,13,5,9,1,13,4,6,2,13,2,29,1,13,1,6,2,13,1,6,3,7,2,13,1,7,1,6,1,7,1,6,1,7,1,13,1,29,1,7,1,6,1,13,4,6,1,29,1,13,1,6,1,30,1,13,1,6,4,29,2,7,1,30,1,7,1,6,6,13,1,28,1,6,1,13,1,30,1,6,1,30,1,6,3,29,1,13,1,6,4,13,1,6,3,13,1,6,1,13,1,6,2,13,2,30,2,13,1,29,1,6,1,30,1,7,1,6,1,30,2,6,2,29,1,30,1,6,2,30,5,28,1,30,5,6,1,28,2,30,4,28,3,30,5,28,1,29,1,30,2,28,1,30,1,28,1,6,1,30,1,6,1,30,4,28,1,30,1,28,1,30,1,28,12,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,3,6,1,30,3,28,2,6,1,13,1,28,16,16,1,17,1,16,2,6,1,30,2,6,1,30,1,29,1,6,1,28,1,30,1,28,10,6,1,7,1,13,1,9,1,24,1,8,1,9,1,12,1,11,1,8,1,28,6,6,1,9,1,13,1,28,43,30,1,13,1,28,4,13,1,17,1,11,1,6,1,28,1,30,1,28,3,30,1,28,2,8,1,17,2,13,1,28,5,29,1,13,1,28,8,}, {28,1,6,1,12,1,9,1,28,52,30,1,13,1,12,1,10,1,12,1,11,1,9,1,8,1,7,2,13,1,9,1,11,1,9,1,6,1,13,1,8,1,9,1,17,1,11,1,9,1,17,1,11,1,17,3,11,1,9,1,6,1,30,1,28,1,30,1,6,1,28,2,8,3,13,1,28,1,6,1,28,1,30,1,13,1,17,3,16,1,11,2,13,4,8,1,9,1,11,1,16,1,17,2,11,1,9,1,30,1,6,1,30,1,6,1,30,1,13,1,28,37,30,1,29,1,13,1,9,3,6,1,30,2,28,1,29,1,30,2,17,7,16,1,9,1,11,1,9,1,8,2,6,2,13,1,7,1,6,1,29,1,28,1,7,2,6,1,13,1,7,1,13,1,9,1,8,1,16,2,17,2,9,1,28,17,9,1,6,1,29,1,30,1,28,2,29,1,9,1,7,1,30,1,28,6,6,1,7,1,13,1,8,1,13,1,9,1,24,1,9,1,10,1,11,1,12,1,17,3,16,1,17,61,12,2,17,1,12,1,17,2,9,1,24,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,13,4,9,1,11,1,8,1,9,1,8,1,13,1,8,1,9,1,13,2,8,2,13,2,7,1,13,1,6,2,30,1,13,1,7,1,13,3,7,1,13,2,7,1,13,2,9,1,8,2,10,1,8,2,9,1,13,1,8,1,11,1,8,1,11,2,9,1,16,2,11,1,16,2,17,9,16,3,11,1,16,3,17,2,16,1,17,20,16,1,17,19,16,1,17,2,16,1,17,21,12,1,11,2,10,1,12,1,17,1,9,3,8,2,9,1,8,1,13,1,9,3,13,1,9,1,8,1,13,1,8,2,9,1,13,1,8,2,13,1,8,1,13,1,8,7,9,2,8,3,13,1,9,4,10,2,24,1,11,2,10,1,12,1,17,3,10,1,17,21,11,1,17,4,12,1,17,39,12,1,17,1,12,2,17,12,11,1,10,1,9,1,11,1,9,2,10,1,13,1,10,1,8,1,13,1,9,1,8,2,9,1,11,1,13,4,6,1,13,7,29,1,7,1,13,2,30,1,13,2,6,1,13,1,29,1,30,1,6,3,30,1,6,2,30,1,6,2,29,1,30,1,6,5,7,1,29,1,6,1,7,1,13,1,7,1,6,2,30,3,13,3,9,2,10,1,9,1,8,1,13,1,8,1,9,6,10,1,9,3,8,1,9,3,8,1,13,2,24,1,13,4,8,1,13,1,8,1,7,1,13,1,8,4,13,1,8,3,13,2,8,1,13,1,24,1,9,1,13,1,8,1,7,1,8,1,13,1,8,3,24,1,8,2,9,4,10,1,8,1,9,1,10,1,9,1,17,2,11,1,12,1,9,3,10,1,12,1,11,1,10,1,11,1,13,1,11,1,9,1,17,1,12,1,9,2,10,1,11,1,17,1,9,1,12,1,9,1,11,3,9,1,17,1,11,2,17,1,12,2,17,2,10,1,17,1,11,1,12,1,17,44,13,1,30,1,6,2,30,2,29,1,30,2,29,1,6,1,29,2,30,2,28,3,6,2,30,1,29,1,30,1,28,1,30,1,29,1,6,3,29,1,6,1,29,1,6,1,13,2,7,1,6,2,30,1,28,1,30,2,6,1,30,2,6,1,30,1,28,1,6,1,9,1,17,21,12,2,17,1,11,1,12,1,10,1,11,1,9,1,10,1,9,1,10,1,8,1,10,1,11,1,8,1,11,1,9,3,24,1,8,1,9,1,7,1,24,1,9,1,13,1,8,1,7,1,24,1,9,1,24,1,13,1,8,1,13,2,9,3,8,1,9,1,24,1,8,1,11,1,24,1,9,1,8,1,10,1,8,1,13,1,28,3,30,2,28,3,30,1,6,1,30,2,28,1,30,2,28,1,30,1,9,1,13,1,6,1,30,3,28,2,30,2,28,5,30,1,28,1,30,2,28,1,30,2,6,1,30,2,28,4,6,1,28,1,30,2,28,4,30,1,28,2,30,5,13,2,30,1,28,2,30,1,28,10,30,1,28,2,30,3,28,2,30,9,28,1,30,2,28,1,29,1,28,1,6,1,7,1,30,3,28,1,6,1,30,4,28,1,30,1,28,1,30,2,28,1,6,1,28,1,6,1,30,3,28,4,30,1,28,2,30,2,6,1,28,1,30,1,28,1,30,4,29,1,30,2,29,1,6,2,30,5,6,1,30,3,28,1,30,1,28,2,29,1,30,6,28,1,30,2,6,1,30,1,6,2,28,3,29,1,30,1,28,1,30,1,28,2,30,2,6,1,13,4,7,1,13,2,6,1,30,1,13,1,30,3,28,1,29,1,28,4,30,1,13,1,7,1,13,1,30,1,6,1,13,2,6,1,28,1,30,1,28,2,30,2,28,5,30,4,28,1,30,5,6,1,30,2,28,1,30,2,28,7,30,1,13,1,30,1,6,1,28,2,30,1,28,4,30,1,28,3,30,2,28,3,30,2,6,1,30,3,28,1,7,1,6,3,13,1,6,1,13,1,30,2,28,5,30,1,28,3,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,5,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,3,30,1,6,1,9,1,30,1,28,1,30,1,28,8,30,1,28,4,30,2,28,3,30,1,28,2,30,2,28,6,30,1,28,2,30,1,6,2,13,1,28,5,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,2,6,1,28,2,30,1,28,6,30,1,28,2,30,1,28,4,30,1,28,1,6,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,2,6,1,30,1,29,1,30,1,6,1,30,2,28,1,13,1,29,1,6,1,30,1,29,2,30,1,28,1,6,1,30,1,28,1,30,4,28,1,30,2,6,4,28,2,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,2,6,1,30,2,28,1,30,2,6,2,30,3,28,1,30,1,28,4,30,1,6,1,30,2,28,8,6,1,8,1,13,2,6,2,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,1,30,2,28,5,6,2,28,13,6,1,8,1,12,1,11,2,17,1,10,1,24,1,7,1,10,1,24,2,8,2,24,1,27,1,25,1,13,1,10,1,12,1,13,1,9,1,13,1,9,1,13,1,9,2,8,3,9,1,13,4,8,1,11,1,9,2,11,1,13,1,9,3,11,1,8,1,13,1,11,2,9,3,10,1,13,1,9,2,10,1,12,1,10,1,11,1,9,1,11,1,8,1,13,1,8,2,13,1,10,1,24,1,25,1,27,1,26,1,27,1,29,3,30,1,28,2,30,1,28,1,29,1,28,1,30,1,29,1,30,3,28,5,13,2,6,1,28,1,30,3,28,2,30,1,28,1,30,1,28,1,30,2,28,4,30,5,28,1,30,4,28,1,6,1,30,3,6,1,28,1,6,1,29,1,6,2,13,1,6,2,7,2,13,1,8,1,13,4,8,1,13,1,8,2,13,1,9,1,8,1,9,1,13,2,9,1,13,1,8,1,13,1,7,1,8,1,13,2,6,2,13,1,6,1,7,1,6,1,29,2,13,1,30,1,7,1,29,2,30,1,29,1,30,1,7,1,6,4,13,2,8,1,7,1,11,1,12,1,9,1,8,1,13,3,7,1,13,2,6,1,13,1,6,1,29,1,30,1,28,19,30,1,28,2,30,1,28,1,30,3,29,1,6,1,7,2,30,1,7,1,6,1,13,2,6,2,13,2,7,1,30,4,6,1,13,1,30,2,6,1,30,1,29,1,6,1,30,6,6,1,30,1,6,1,29,1,30,1,28,1,30,3,28,1,30,4,28,1,30,1,28,1,30,3,29,1,30,1,29,1,6,3,13,1,7,1,13,1,9,3,13,1,9,1,8,2,9,1,8,1,9,1,13,1,6,2,13,4,30,1,7,1,8,1,13,1,8,1,6,1,29,1,6,1,13,4,6,1,13,1,9,1,13,1,9,1,13,2,8,1,13,1,8,1,13,2,7,1,13,2,9,1,13,1,9,1,17,1,13,1,9,1,8,1,13,2,9,2,8,1,9,4,17,1,11,1,12,1,10,1,9,1,8,1,10,1,17,1,9,1,10,1,9,2,10,1,11,1,9,2,10,1,12,1,9,1,12,3,11,1,9,1,17,9,16,1,17,3,16,2,17,1,11,1,17,2,11,2,16,1,9,1,12,1,17,1,11,1,9,2,11,1,17,1,9,1,17,1,11,1,12,1,9,1,12,1,9,1,11,1,16,1,11,1,16,1,17,2,11,1,12,1,10,1,17,16,10,1,9,2,8,1,24,1,8,1,24,1,8,1,25,2,8,1,24,2,12,1,17,1,12,1,14,1,24,6,10,1,12,2,9,1,10,3,24,1,12,1,9,1,12,1,11,1,17,2,10,2,17,2,11,5,9,1,17,1,9,1,10,1,11,2,10,1,11,1,17,1,11,4,16,1,11,1,16,1,9,1,16,1,11,4,17,2,16,1,17,1,10,1,16,1,11,1,16,1,11,5,16,1,11,1,9,4,11,1,17,6,8,1,13,1,7,2,13,1,6,1,7,1,6,1,7,1,8,1,6,3,29,1,6,1,30,1,6,1,13,1,6,3,7,1,6,1,7,1,13,1,6,2,13,1,6,2,13,1,6,2,13,2,6,1,13,2,6,1,7,1,6,1,7,1,13,1,9,2,11,1,9,1,8,1,9,1,13,1,6,1,13,2,6,1,8,1,13,1,6,1,13,4,6,1,13,1,6,2,29,1,13,1,29,1,7,1,13,1,30,1,13,1,6,5,13,1,6,1,30,1,13,1,6,2,29,1,6,1,13,3,6,7,29,1,6,1,30,1,6,1,30,1,7,1,6,2,7,1,6,1,30,1,7,1,6,2,28,1,7,1,6,3,30,1,6,3,29,1,6,3,30,2,6,1,30,1,29,1,6,1,30,1,29,1,6,1,13,1,29,1,13,1,6,1,7,1,29,1,7,1,13,1,6,1,28,1,29,1,6,1,30,1,6,1,29,2,30,1,6,4,29,1,30,2,6,1,28,1,6,1,30,1,28,1,6,1,28,1,6,1,30,6,6,1,28,2,30,1,28,1,30,5,28,1,30,1,6,3,28,1,29,1,7,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,7,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,1,6,1,29,1,30,1,29,1,30,1,28,1,6,1,30,2,6,1,28,16,16,1,17,2,11,1,13,1,29,2,30,1,6,1,30,1,28,1,30,1,28,11,29,1,13,1,6,1,13,1,8,2,9,3,7,1,28,2,30,1,28,3,6,1,7,1,8,1,28,43,6,1,13,1,28,4,13,1,17,1,11,1,6,1,28,6,30,1,13,1,8,1,17,2,6,1,28,5,29,1,6,1,28,8,}, {28,2,14,1,15,1,28,31,30,1,28,21,30,1,9,1,11,1,17,2,8,2,29,1,6,1,30,1,8,1,10,1,13,1,9,1,13,1,8,1,9,1,10,1,17,4,11,2,17,1,9,1,13,1,7,1,29,1,28,1,30,1,29,1,30,2,8,1,13,1,24,1,13,1,30,1,29,1,30,1,13,2,17,3,16,1,13,1,10,1,6,1,7,1,8,1,13,1,24,2,10,1,17,3,11,1,9,1,7,1,6,1,29,2,13,2,28,37,7,1,13,1,8,2,11,1,13,1,29,1,28,3,29,1,28,1,13,1,11,1,17,4,16,2,11,1,13,1,9,2,8,1,13,2,29,1,30,1,13,1,29,1,6,3,7,1,6,1,7,1,13,1,6,1,9,1,11,1,9,2,17,2,13,1,28,17,9,1,13,1,6,1,28,3,29,1,13,2,30,1,28,5,30,1,6,1,30,1,6,1,8,1,13,1,8,1,11,1,10,1,9,1,11,1,9,1,17,1,11,1,16,1,17,3,11,1,17,1,16,1,17,55,12,1,17,4,12,1,24,1,12,1,13,1,9,1,13,1,9,1,13,1,8,2,13,2,8,1,13,1,8,2,9,2,8,1,13,1,9,1,7,1,9,1,7,1,8,1,13,2,8,1,13,4,8,1,13,4,8,1,29,1,7,1,8,1,13,4,7,1,13,2,9,2,8,2,9,1,8,1,9,1,13,1,11,4,17,2,10,1,17,10,10,1,11,3,17,1,16,3,17,16,11,1,17,10,16,2,17,9,16,1,17,2,16,2,17,27,11,1,17,2,11,1,9,4,8,2,9,2,8,1,13,1,8,1,9,2,13,1,8,1,9,3,8,1,9,2,13,1,9,1,13,1,9,1,13,2,8,1,13,1,10,1,8,4,9,6,11,1,10,1,9,1,12,1,11,1,17,2,11,1,12,1,17,24,12,1,11,1,17,1,12,1,17,6,12,1,17,7,12,1,17,6,12,1,17,21,12,1,17,12,9,1,10,1,9,2,8,1,9,1,8,1,10,1,9,1,13,3,8,5,7,1,8,2,13,1,8,2,9,1,13,2,7,1,13,1,6,3,13,1,6,1,13,1,29,1,6,1,30,1,29,1,6,1,30,2,29,1,6,3,30,2,6,5,28,1,7,1,30,1,29,1,6,3,13,1,29,1,6,2,30,1,7,1,6,1,13,1,8,1,9,1,10,1,9,2,10,1,9,3,10,1,9,1,12,1,9,2,12,1,9,4,24,1,8,2,24,1,13,1,24,1,8,1,13,1,7,1,13,1,8,1,9,1,8,2,13,1,8,1,13,2,7,1,9,1,8,1,13,2,9,1,13,3,9,1,13,3,24,1,8,2,13,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,9,4,8,1,9,1,12,1,9,1,10,2,11,1,9,1,10,1,11,1,9,1,11,1,9,1,10,1,11,1,17,1,10,1,17,1,10,1,9,1,17,1,10,1,8,3,11,1,9,1,12,1,10,3,11,1,17,1,11,2,9,1,17,2,12,1,10,2,17,1,12,1,17,1,10,1,17,3,12,1,17,6,11,1,17,35,9,1,6,1,29,1,30,1,13,1,6,1,30,2,28,1,30,2,29,1,30,4,28,1,29,1,30,2,29,1,6,1,30,4,6,3,29,1,13,1,6,3,7,1,30,1,29,2,30,2,29,1,6,4,30,1,13,1,8,1,11,1,17,21,11,1,17,1,9,1,10,1,9,1,10,1,9,1,8,1,9,1,13,1,9,1,11,1,8,1,12,1,24,2,10,1,9,1,11,1,8,1,10,1,8,1,24,1,10,1,24,1,10,1,24,1,8,1,9,2,24,1,13,1,24,1,13,1,24,1,8,1,13,1,9,2,10,1,12,1,9,2,24,1,8,2,9,1,13,1,8,1,28,1,30,1,28,6,30,1,28,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,11,1,28,2,6,1,30,2,29,1,30,1,6,1,30,2,28,1,30,4,6,2,30,1,28,1,30,4,28,1,30,1,28,3,30,1,6,1,28,2,30,1,28,2,30,1,28,2,30,2,6,1,13,2,6,1,28,1,30,3,28,1,30,1,28,4,30,1,28,1,30,1,28,4,30,3,28,2,30,1,6,1,30,6,6,1,30,4,29,1,30,4,29,1,6,1,30,1,6,1,30,3,28,1,30,3,28,1,29,1,28,3,30,1,6,1,28,1,30,2,28,1,30,1,28,4,30,1,28,1,29,1,30,2,28,4,30,4,29,1,30,1,28,1,30,1,6,1,28,3,30,1,28,1,6,1,28,2,30,1,28,1,30,3,6,2,30,3,28,2,29,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,29,1,30,1,28,3,30,1,28,2,7,1,30,1,13,6,30,3,6,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,13,2,6,4,30,1,6,1,30,3,28,5,30,1,28,2,30,2,28,1,6,1,28,2,30,3,28,1,30,2,28,1,30,3,28,2,30,2,28,3,30,1,28,3,6,1,28,4,30,1,28,1,30,1,28,2,30,1,28,5,30,3,6,1,28,1,30,2,13,2,6,2,7,2,13,1,30,1,28,1,30,4,28,11,30,4,28,2,6,1,30,1,28,4,30,2,28,2,30,1,28,2,30,1,28,6,7,1,6,1,28,13,30,1,28,3,29,1,30,1,28,1,30,1,28,1,6,1,7,1,30,3,28,1,30,5,28,1,30,2,28,1,30,1,13,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,10,30,1,28,2,30,1,28,1,30,3,28,3,30,1,28,1,30,1,29,1,30,1,28,3,30,1,28,1,30,2,28,1,30,2,28,3,30,6,28,1,8,1,30,3,6,1,28,1,29,1,6,1,30,1,6,1,28,1,30,4,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,6,28,5,30,2,28,1,30,1,28,2,30,1,6,1,30,1,28,3,30,4,28,1,29,2,28,1,30,1,28,7,6,1,8,1,13,2,30,1,7,1,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,4,30,1,28,2,30,3,28,3,30,1,28,1,30,1,7,1,30,1,28,9,30,3,13,1,12,3,9,1,12,1,24,2,8,1,10,1,8,1,24,1,8,1,24,1,27,1,25,1,8,1,7,1,11,1,17,1,8,1,11,1,10,1,9,2,13,1,9,1,8,1,9,2,13,1,8,2,13,1,8,1,9,1,13,1,11,2,9,1,8,1,9,2,10,1,8,1,12,1,9,2,11,1,9,4,8,1,9,1,11,2,10,1,9,2,13,1,11,1,13,1,6,1,8,1,7,1,24,4,30,1,27,1,30,1,28,1,29,2,30,1,28,1,30,1,28,1,29,1,30,1,28,2,6,1,28,1,29,1,28,3,6,1,28,2,6,1,13,1,6,1,30,6,28,2,30,1,28,1,30,1,28,4,29,1,28,5,6,1,30,1,28,2,6,1,28,5,30,2,6,4,13,2,6,1,13,2,7,1,13,3,8,1,7,1,8,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,9,1,6,1,13,1,6,1,13,3,6,1,13,1,7,1,6,5,13,1,29,1,7,1,6,3,7,1,6,2,29,1,6,5,13,3,9,2,11,1,8,1,9,1,13,7,8,1,13,1,7,1,13,1,28,22,30,1,28,2,30,1,29,1,6,1,29,1,30,1,6,3,7,1,13,1,6,1,13,3,6,1,30,1,6,3,30,1,6,1,30,2,29,1,30,2,6,3,30,1,6,1,30,1,29,1,30,3,28,2,30,1,28,3,30,3,28,2,30,1,29,1,6,2,30,1,6,3,30,1,6,2,13,1,29,1,7,1,13,2,9,1,6,1,9,1,13,2,8,2,13,1,8,1,9,1,6,1,8,1,6,1,13,1,6,1,7,1,13,2,6,3,13,7,7,1,13,4,6,1,9,1,6,1,8,2,13,7,9,2,17,1,8,1,13,2,8,1,13,2,8,1,13,2,8,2,9,1,17,1,9,3,17,1,12,1,11,1,9,2,17,1,9,1,11,1,9,3,10,1,12,1,11,1,9,1,17,1,10,1,9,2,12,1,10,1,17,11,16,1,12,1,17,1,9,1,17,1,11,2,17,1,11,1,17,1,12,1,11,1,10,1,16,1,11,1,12,1,11,2,10,1,11,2,9,1,11,1,16,1,10,1,8,1,16,1,17,2,11,1,17,4,12,1,17,1,11,1,17,10,11,1,17,1,10,1,11,1,12,1,11,1,12,1,8,1,24,2,8,1,10,1,24,1,12,1,15,1,12,1,17,1,15,1,12,2,24,2,12,1,8,1,24,1,10,1,9,1,10,1,17,1,10,1,12,1,9,1,10,1,11,1,9,1,12,1,17,1,12,2,10,1,17,1,9,1,10,1,11,1,9,1,11,2,17,1,11,1,9,1,11,3,17,1,9,2,11,1,9,1,11,1,16,1,17,1,11,1,17,1,16,3,17,1,11,1,10,1,11,1,12,1,11,3,16,1,9,1,17,1,10,1,16,1,9,1,16,1,11,1,16,1,17,1,11,1,17,1,11,2,17,1,9,1,10,1,11,1,17,4,11,1,9,1,8,1,13,2,7,1,13,2,6,1,13,1,7,1,8,1,7,2,13,1,7,2,6,1,13,1,6,3,13,2,7,1,13,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,29,1,13,1,7,1,13,1,8,1,9,1,11,1,10,1,9,2,13,4,8,1,6,1,8,1,13,3,29,1,13,1,6,1,13,1,30,1,6,5,13,1,6,2,7,1,13,1,29,1,6,3,7,3,6,4,13,4,7,1,6,4,29,1,6,4,30,1,13,1,6,1,7,1,30,1,7,1,6,1,13,1,6,2,7,1,30,1,6,2,29,1,6,1,30,1,6,2,7,1,30,1,7,1,29,1,6,2,30,2,6,4,13,2,7,1,6,1,30,1,6,2,13,2,6,2,29,1,6,1,30,5,6,1,30,1,6,1,29,1,30,2,29,1,30,1,28,2,6,1,30,2,28,1,30,1,6,1,28,1,30,8,6,1,28,1,30,1,28,2,30,1,28,1,30,1,29,3,30,6,28,1,30,2,28,4,30,1,28,4,30,1,28,9,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,3,29,1,30,2,28,1,30,4,13,1,28,16,17,3,9,1,8,1,13,1,28,1,6,1,30,1,29,1,6,1,30,1,29,1,28,9,6,1,30,1,6,1,29,1,24,1,13,2,9,2,12,1,30,1,28,6,13,1,8,1,13,1,28,3,6,1,28,39,8,1,13,1,29,1,28,3,12,1,17,1,10,1,30,2,28,6,13,1,9,1,17,2,29,1,28,5,6,1,13,1,28,8,}, {28,1,30,1,11,1,8,1,28,53,6,1,10,1,16,1,17,2,9,1,24,1,29,1,28,1,6,1,9,2,17,1,9,1,30,1,8,1,9,1,11,1,9,1,17,3,16,2,17,1,11,1,9,1,6,1,28,2,30,1,28,3,13,1,17,1,9,1,7,1,28,1,30,1,6,1,30,1,6,1,17,3,9,1,11,1,9,1,13,1,7,1,8,1,13,1,9,1,8,1,12,1,17,3,10,1,9,1,8,1,7,1,6,1,13,1,7,1,13,1,28,37,30,1,13,2,9,1,16,1,11,1,6,1,28,2,30,1,28,2,7,1,10,1,17,4,9,1,11,1,16,1,9,1,8,1,9,1,10,1,13,2,6,1,30,2,29,1,6,4,7,2,6,1,9,1,11,1,10,1,8,1,9,1,17,2,9,1,28,17,9,1,13,1,7,1,30,2,28,2,9,1,13,1,6,1,30,2,28,3,29,1,7,1,29,1,7,1,6,1,13,2,8,1,9,1,24,1,10,2,9,2,12,1,11,1,12,1,17,2,11,1,17,1,11,1,16,1,17,1,16,1,17,49,12,4,17,2,12,1,17,1,12,1,10,1,13,6,9,1,8,3,13,4,8,1,13,3,8,2,13,4,7,1,13,9,8,1,13,2,7,1,13,2,9,1,13,4,8,1,13,1,9,2,13,2,9,2,10,1,11,1,9,1,16,1,10,1,11,1,16,1,11,1,16,1,17,1,16,1,17,6,11,1,16,2,11,1,16,1,17,2,16,1,17,4,16,1,17,13,16,1,17,10,11,1,17,7,16,1,17,1,16,1,17,3,9,1,16,2,17,20,12,1,17,2,11,1,12,1,17,1,11,1,9,1,10,1,9,1,8,1,9,1,13,1,10,1,13,1,8,1,9,1,8,3,9,2,8,3,10,1,9,1,8,1,9,4,8,2,9,1,24,1,9,1,13,1,9,2,8,1,9,1,10,1,9,1,8,1,9,2,8,2,11,1,10,1,17,4,12,1,17,23,11,2,17,1,10,1,11,1,12,2,17,4,11,1,17,4,11,1,17,25,11,1,12,1,17,6,11,1,17,11,11,1,10,2,9,2,8,1,9,1,10,1,8,1,9,1,24,1,8,2,7,1,10,1,8,1,13,3,8,1,13,2,8,1,9,1,13,3,7,1,24,1,13,2,6,1,7,2,29,1,6,1,30,1,6,2,28,1,6,2,7,1,6,1,29,1,6,2,29,1,6,1,7,1,29,1,7,1,29,1,30,1,29,1,30,1,13,1,7,1,13,1,6,1,7,1,29,2,13,2,8,1,13,1,9,3,11,1,9,1,8,1,9,3,11,1,9,2,10,1,9,2,8,1,9,1,8,1,9,1,8,1,24,1,8,4,6,1,13,1,8,3,13,1,8,1,7,1,8,1,13,2,6,1,13,2,8,1,13,2,8,4,13,2,9,2,8,2,13,1,8,1,9,1,8,1,9,1,13,2,9,1,10,1,13,1,10,1,11,1,8,1,10,1,9,3,12,1,11,1,10,1,11,1,10,1,12,1,11,1,9,1,10,3,8,2,17,1,10,1,12,1,11,3,12,1,9,1,10,1,8,1,11,1,10,1,12,2,10,1,17,1,8,1,12,2,17,1,9,1,11,1,12,1,11,2,10,1,17,5,12,1,17,1,11,2,17,40,11,1,13,1,30,1,6,2,30,1,29,1,30,4,29,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,6,3,29,1,6,4,13,1,6,3,29,2,30,1,28,1,6,1,30,2,6,1,29,1,30,1,7,1,6,1,13,1,8,1,17,22,11,1,10,1,9,2,10,1,9,2,24,1,9,1,8,1,10,1,8,1,24,3,8,2,9,3,8,1,24,1,8,1,11,1,9,1,10,1,9,1,8,2,10,1,13,1,8,2,9,1,8,1,24,1,8,1,9,1,24,1,8,1,10,1,9,1,8,1,10,1,9,2,8,1,9,2,30,1,28,4,6,1,30,3,28,5,30,2,29,1,30,1,16,1,6,1,28,1,6,3,30,5,28,1,30,2,29,1,28,1,30,2,28,5,30,2,28,2,30,2,28,6,30,1,28,2,30,2,28,1,30,1,13,1,30,1,6,1,30,1,6,1,30,3,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,7,28,1,30,1,28,1,29,1,30,2,28,4,30,2,6,1,28,1,30,1,29,1,30,7,28,1,30,2,28,1,6,1,30,1,28,1,6,2,30,4,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,5,6,2,30,6,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,30,9,6,1,30,4,29,1,28,1,30,1,28,1,29,1,30,1,28,2,30,1,6,1,13,1,6,1,13,5,30,1,28,3,6,3,28,2,30,2,28,1,30,1,6,3,29,1,30,3,28,4,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,3,28,1,30,1,28,1,30,2,6,2,30,1,28,1,30,4,28,1,30,1,6,1,28,5,6,1,30,2,28,5,30,2,28,6,29,1,30,1,6,1,30,3,6,1,13,1,6,1,13,1,6,2,13,1,30,1,29,1,30,3,6,1,28,7,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,1,30,3,28,1,30,1,28,2,6,1,16,1,28,3,30,1,28,1,30,1,28,10,30,1,6,1,30,1,28,3,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,6,1,30,1,6,1,28,7,30,1,28,1,30,3,28,10,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,3,28,1,6,1,28,1,30,2,28,3,30,2,28,1,30,1,28,1,30,1,28,2,6,1,30,1,6,1,30,3,28,1,30,2,28,1,13,1,28,1,29,1,30,1,6,2,30,2,6,1,30,1,6,1,28,2,29,2,6,2,28,4,30,1,28,1,6,2,28,1,30,1,28,2,6,1,28,1,30,2,28,2,30,1,6,1,28,1,30,4,28,1,30,4,28,2,30,1,6,2,30,3,28,1,30,1,28,3,30,1,29,1,13,1,8,1,13,1,6,1,30,1,28,1,30,1,28,11,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,4,30,2,28,1,30,1,28,5,30,1,6,1,30,1,28,9,30,2,29,1,13,1,17,2,12,2,11,1,8,1,24,2,8,2,24,1,8,1,25,1,26,2,13,1,9,3,11,1,13,1,9,1,11,1,9,1,13,1,7,1,13,1,9,1,10,1,9,1,13,5,10,1,11,1,13,1,11,1,8,1,13,1,11,1,9,2,8,1,11,1,9,1,8,1,17,1,9,5,11,2,10,1,11,1,9,3,13,1,7,1,8,1,13,1,8,2,9,1,25,1,27,1,29,1,27,1,30,2,29,1,30,1,28,1,30,2,28,1,29,1,28,2,29,2,30,1,28,1,30,1,28,4,30,1,9,1,6,2,30,3,28,5,30,1,28,1,30,1,28,2,6,1,13,1,28,2,6,1,29,1,28,1,6,1,28,1,30,1,29,1,28,3,30,1,6,1,28,1,30,1,6,1,28,2,6,2,30,1,29,1,13,1,6,1,13,1,29,1,8,1,13,2,7,1,13,2,8,4,9,1,8,1,9,1,13,6,6,1,13,1,8,1,13,1,6,5,13,1,7,1,13,1,7,3,13,1,6,3,29,1,30,1,6,1,30,1,29,1,13,4,8,1,24,1,12,1,11,1,9,2,10,1,8,1,7,1,8,1,9,1,13,3,9,1,30,1,28,26,30,1,6,1,7,1,6,1,13,1,29,1,13,1,6,1,13,4,6,1,29,2,6,1,29,1,30,1,6,1,30,1,6,1,29,1,6,3,30,1,6,2,30,1,6,1,30,2,6,1,30,2,6,1,28,1,30,1,28,1,30,4,29,1,30,2,29,2,6,2,30,1,29,1,30,1,29,1,30,1,6,1,7,1,6,1,13,5,6,1,13,2,8,1,13,1,9,1,13,1,8,2,13,2,6,2,13,1,6,1,13,2,6,1,13,1,6,1,13,2,7,1,6,1,13,2,7,2,13,1,6,1,7,1,13,4,8,1,13,4,7,1,9,1,8,2,9,1,13,1,9,1,11,1,9,1,8,2,13,1,9,1,13,1,8,3,9,1,11,1,17,1,9,3,8,2,9,1,8,2,9,1,11,1,9,7,12,1,10,1,8,1,9,2,11,1,8,1,11,1,12,1,17,12,16,1,17,2,9,1,12,1,11,1,17,1,8,1,17,3,10,3,11,1,12,1,9,1,10,1,9,2,10,1,11,1,17,1,16,2,9,1,17,2,12,2,17,1,16,1,17,10,11,2,17,2,11,1,10,1,11,1,10,2,9,2,24,1,9,2,12,1,24,1,12,1,9,1,10,2,12,1,24,1,12,1,24,2,10,1,12,1,24,2,12,3,10,1,17,1,11,1,9,1,17,3,11,2,17,1,11,1,9,1,11,1,16,1,9,1,17,1,9,1,17,1,11,3,9,2,11,2,9,1,16,1,11,1,17,1,11,2,16,1,11,1,17,1,11,1,17,1,11,2,16,1,11,1,17,2,11,1,16,1,17,1,10,1,17,1,11,1,17,2,11,1,16,1,17,1,10,2,17,1,11,1,9,1,11,2,17,6,12,1,8,1,13,1,6,1,13,1,6,2,7,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,7,2,13,1,6,1,13,1,6,2,13,2,6,1,13,1,6,1,13,1,7,1,13,1,8,1,6,1,7,2,6,1,7,1,6,1,13,1,7,1,6,1,13,1,7,1,13,1,8,1,9,1,10,1,8,1,16,1,9,1,13,2,9,1,13,8,6,5,13,1,6,4,7,1,6,2,7,1,6,3,13,1,30,1,13,2,7,1,13,4,7,1,13,1,6,2,29,1,7,1,30,1,6,1,30,1,13,1,29,1,28,1,6,2,13,1,6,1,13,2,6,6,30,1,29,1,30,1,7,1,6,1,29,1,6,1,29,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,13,2,30,1,6,1,13,1,29,3,30,1,29,1,13,2,29,1,6,3,30,2,29,1,30,3,7,1,6,2,30,1,29,1,30,5,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,4,28,1,30,1,28,1,30,1,13,1,28,6,30,2,28,5,30,2,6,1,28,6,30,1,28,5,30,1,28,14,30,1,28,1,30,3,28,1,30,1,6,1,30,3,11,1,28,16,17,2,16,1,11,1,13,1,7,1,28,1,6,1,28,1,30,3,28,6,30,1,28,2,6,2,28,1,6,1,13,1,6,1,9,2,13,1,16,1,13,1,28,4,30,1,28,2,6,1,17,1,6,1,28,3,6,1,28,38,30,1,10,1,13,1,28,4,17,3,6,1,28,2,30,1,28,4,13,1,11,1,16,1,17,1,6,1,28,5,29,1,30,1,28,8,}, {30,1,28,1,9,1,12,1,28,53,29,1,8,1,12,1,17,1,12,1,9,1,7,1,30,1,28,1,6,1,13,1,11,2,8,1,13,1,8,1,9,1,11,1,17,1,11,1,17,5,16,1,13,1,6,2,28,1,30,1,28,1,30,1,28,1,13,1,17,1,8,1,13,1,7,1,6,1,13,1,6,1,13,1,17,3,16,1,11,1,13,1,9,1,13,1,8,3,9,1,11,2,17,2,16,1,8,1,13,2,28,1,6,2,8,1,28,38,8,1,13,1,9,3,6,1,28,3,6,1,30,1,7,1,11,1,17,5,16,2,8,3,9,1,13,1,7,1,6,3,13,1,6,1,13,1,6,1,29,1,13,3,8,1,11,1,9,2,11,1,17,2,9,1,30,1,28,16,8,1,13,1,6,2,28,2,6,1,13,3,6,1,29,1,28,2,30,1,6,1,29,3,6,1,29,1,13,1,8,2,13,1,10,1,9,1,11,4,10,1,12,1,11,1,17,1,11,1,17,1,11,1,16,4,17,45,12,1,17,2,10,1,12,4,10,1,9,4,13,1,8,1,13,2,8,2,9,1,8,1,7,1,13,1,6,1,13,6,7,1,13,1,8,1,13,4,8,1,13,1,8,3,13,1,8,2,13,4,8,1,13,1,8,2,13,9,8,2,13,1,11,3,16,1,11,2,16,2,9,1,11,1,16,2,17,2,16,1,17,2,11,1,10,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,1,11,1,16,2,17,36,10,1,16,1,17,1,11,1,17,21,12,1,9,2,11,1,17,1,9,1,10,1,11,2,9,2,8,1,9,1,8,1,9,4,8,1,9,1,11,1,9,2,7,1,9,1,8,1,9,1,8,2,9,1,13,1,8,1,9,1,8,1,24,1,9,2,8,1,13,1,9,2,8,1,9,1,8,2,11,1,9,1,10,1,12,2,11,1,17,23,11,1,17,2,11,1,17,2,9,1,11,2,17,4,12,1,17,3,12,1,17,27,12,1,17,21,9,1,10,1,9,2,11,1,9,2,13,1,9,1,8,1,13,2,9,1,10,1,13,1,8,1,9,1,8,1,7,1,8,1,13,2,9,1,6,1,8,1,13,2,7,1,13,1,7,1,13,1,7,1,13,1,6,1,29,2,6,1,30,2,6,7,30,2,6,3,29,1,6,1,7,1,29,1,6,1,13,1,24,1,13,1,6,1,7,1,6,1,13,1,6,1,8,1,13,1,12,1,9,4,13,1,10,1,9,4,11,1,8,1,9,1,8,2,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,2,8,1,24,1,13,1,8,4,10,1,13,1,8,1,9,1,13,1,8,2,9,1,13,1,9,1,8,3,13,2,9,1,13,1,8,2,13,3,8,2,13,1,10,1,8,1,9,1,8,1,9,2,13,1,10,1,9,1,11,2,9,2,12,1,9,1,8,1,17,1,11,1,8,1,11,1,10,1,11,1,8,1,10,1,17,1,9,2,12,1,17,2,11,2,12,1,17,1,9,1,10,2,17,1,11,1,10,1,12,2,10,1,17,1,12,1,17,2,12,1,17,1,12,1,11,1,17,5,11,1,17,4,11,1,17,2,12,1,17,6,12,1,17,28,16,1,11,1,13,1,30,1,6,2,30,4,28,1,29,1,30,1,28,1,30,2,28,2,30,1,29,1,6,1,13,4,6,3,13,1,6,1,7,2,6,1,28,1,30,2,28,2,30,2,29,1,6,2,7,1,6,1,7,1,9,1,17,22,11,1,17,1,9,4,8,1,9,1,8,1,9,3,8,1,24,1,12,3,9,1,8,1,24,3,9,1,24,1,10,1,24,1,8,1,9,1,8,1,13,1,10,1,24,1,8,1,13,2,8,1,24,1,9,1,10,1,24,1,10,1,8,1,10,1,9,1,12,1,9,1,10,1,9,2,28,2,30,1,6,1,30,1,6,1,30,2,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,7,1,13,1,6,1,28,1,30,2,28,1,30,4,28,2,30,3,29,1,6,1,30,3,6,1,30,2,28,3,30,1,28,1,30,2,28,2,30,4,28,1,30,3,28,2,13,1,6,1,30,1,28,3,30,1,28,1,30,1,6,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,5,28,3,30,1,29,1,6,1,30,4,28,1,30,1,28,1,6,1,30,1,28,2,30,3,29,1,30,1,28,3,30,1,28,1,30,1,6,1,28,3,30,1,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,4,29,1,30,4,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,4,6,2,29,1,30,2,28,2,30,3,28,1,30,3,28,1,30,1,28,1,30,1,13,2,6,1,13,1,7,1,13,2,6,1,30,1,28,3,6,1,28,7,30,1,29,1,30,1,6,1,28,2,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,2,30,4,6,1,30,2,6,1,29,1,6,2,30,5,28,1,6,1,30,2,6,1,28,2,29,1,30,1,28,2,30,2,28,4,30,2,28,2,30,1,28,3,30,4,6,1,28,1,30,1,28,1,6,2,30,1,13,1,6,1,29,1,28,1,30,2,28,2,30,1,6,1,30,2,28,6,30,1,28,4,30,4,28,19,30,1,9,1,13,1,28,3,30,3,28,1,30,1,28,5,30,5,13,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,6,28,1,30,3,28,2,30,1,29,1,28,4,30,1,28,6,30,1,28,3,30,3,28,1,30,1,28,3,30,2,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,3,6,1,30,1,28,1,30,1,28,1,30,2,29,1,30,2,28,2,30,3,6,1,29,1,28,2,30,1,28,1,30,2,13,1,30,1,28,1,29,1,6,1,30,2,6,1,30,5,28,1,30,2,13,1,28,3,6,1,28,1,30,1,28,2,6,1,30,1,6,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,6,1,29,1,28,5,30,1,28,1,30,2,28,3,30,1,28,1,6,1,30,1,28,1,6,1,30,1,28,1,6,1,13,1,29,1,6,1,28,2,30,1,28,7,30,2,28,4,29,1,28,2,30,1,28,6,30,2,28,1,30,1,28,7,30,1,6,2,28,10,30,1,7,1,9,1,12,4,9,1,24,1,8,4,24,1,25,1,27,1,25,2,24,1,12,1,17,1,9,5,8,2,13,2,8,1,9,2,13,1,9,3,6,1,8,1,10,1,9,4,8,1,9,4,8,1,9,2,13,1,9,2,10,1,9,2,10,1,9,4,8,1,24,1,13,1,8,1,13,1,8,1,24,1,9,1,27,3,30,2,29,1,30,2,28,1,30,2,28,1,30,1,28,4,30,1,28,5,30,1,6,1,8,1,13,1,30,1,28,1,6,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,6,1,30,3,28,1,30,3,28,1,30,5,28,1,30,2,28,1,6,1,30,1,6,2,29,1,30,1,6,1,29,1,7,1,6,1,30,1,13,2,9,2,13,1,8,2,10,1,13,1,9,1,13,1,9,1,13,4,6,1,13,2,6,2,13,1,6,1,13,1,6,2,30,1,13,1,6,2,7,1,13,2,29,1,6,1,13,1,30,1,6,1,29,1,30,1,7,1,6,1,30,1,7,1,13,1,8,1,13,1,9,2,10,1,17,1,10,1,8,1,13,8,7,1,28,14,30,1,28,10,30,1,29,1,30,2,6,2,13,2,7,1,13,3,6,2,13,1,6,1,28,1,6,1,30,1,29,1,6,1,30,1,29,1,30,1,28,1,6,1,29,1,30,1,29,1,30,1,29,1,30,1,6,1,28,1,6,1,30,3,29,1,30,1,28,1,30,2,28,1,30,5,13,1,30,1,29,1,30,1,6,1,7,1,13,1,29,1,7,1,6,2,13,1,6,1,13,8,8,1,9,1,29,1,13,1,6,1,13,1,6,2,13,1,6,1,7,1,13,1,7,2,13,2,6,3,8,1,6,1,13,3,7,1,13,1,6,1,13,1,6,1,7,1,13,3,8,3,6,1,13,2,8,1,9,2,8,1,9,2,13,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,8,1,11,2,8,1,11,1,10,1,9,3,10,1,13,1,8,1,10,1,9,2,8,1,9,1,11,1,9,2,8,1,16,1,9,3,11,1,17,11,12,1,11,3,16,1,11,1,17,1,16,1,17,1,12,1,16,1,11,3,17,1,10,1,16,1,17,1,10,1,9,1,10,1,17,1,11,1,9,1,16,2,17,1,12,1,11,1,17,2,11,1,17,2,16,1,17,12,12,1,17,2,12,1,17,4,12,2,17,2,12,1,10,1,24,1,10,1,12,1,10,1,12,1,10,1,24,4,10,2,12,2,17,1,10,1,11,1,12,1,11,1,17,1,11,1,10,1,12,1,11,1,10,1,16,1,10,2,9,1,11,3,9,1,11,1,16,1,9,1,11,2,9,1,11,2,17,1,11,1,17,2,11,1,17,1,11,1,17,1,11,1,17,3,11,1,17,1,11,2,17,2,11,3,17,1,16,1,17,1,16,2,10,1,11,2,17,1,9,1,12,1,17,1,10,1,11,1,17,5,9,1,7,1,9,1,8,1,13,1,8,2,13,7,6,3,30,1,8,1,29,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,13,5,8,1,6,1,13,1,7,2,13,1,6,1,7,2,6,1,9,2,11,1,9,1,8,1,9,1,13,2,8,1,13,1,7,1,13,2,6,1,13,1,6,1,7,1,6,1,13,2,30,1,6,2,7,3,13,1,7,1,6,2,13,1,6,1,29,1,6,1,7,1,13,1,28,1,8,1,9,1,13,2,6,1,13,1,6,1,13,1,6,2,13,1,7,3,13,1,30,1,6,3,7,1,30,1,6,1,13,1,6,3,13,1,28,1,6,3,13,1,7,2,30,1,29,1,6,1,30,1,29,1,6,4,7,1,30,1,7,1,6,2,13,1,30,1,6,1,13,1,29,1,6,4,13,1,28,1,13,1,6,1,28,1,6,1,30,1,6,2,30,2,29,1,6,4,30,2,6,1,30,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,28,2,30,3,28,1,6,1,30,2,28,2,30,2,28,2,30,1,29,1,28,1,30,1,28,3,30,1,28,3,30,3,28,5,30,1,28,27,6,1,30,3,28,4,30,1,13,1,28,16,17,3,9,1,13,1,7,1,29,1,30,1,7,1,29,1,6,1,28,11,29,1,28,1,6,3,8,1,13,1,9,2,11,1,28,3,30,1,28,3,8,1,13,1,6,2,28,42,8,2,28,1,30,1,28,2,17,2,8,1,13,1,30,1,28,3,30,1,28,1,6,1,7,1,11,1,17,2,28,6,29,1,28,9,}, {28,2,9,1,14,1,28,53,6,1,9,1,17,1,16,1,17,1,10,1,8,1,30,3,8,1,11,2,13,1,30,1,13,1,8,1,11,2,9,1,17,5,11,1,9,1,13,1,28,1,29,1,28,1,6,1,8,2,9,1,12,1,17,1,8,2,13,2,30,1,8,1,12,1,17,2,16,1,9,2,8,1,6,1,13,1,8,1,9,2,11,1,16,1,17,2,10,1,13,1,8,1,13,1,30,1,7,1,29,1,9,1,28,19,30,1,28,17,6,1,7,2,9,1,10,1,8,1,7,1,28,2,30,1,28,1,6,1,29,1,17,5,9,1,17,1,16,1,11,1,9,2,13,1,8,1,6,1,30,2,7,1,30,1,6,1,7,1,6,1,7,1,6,1,8,1,7,1,9,1,11,1,12,1,9,1,12,1,17,2,8,1,28,17,9,1,13,2,6,2,28,1,13,5,7,1,6,2,7,1,6,2,29,1,6,2,30,1,6,1,13,1,24,1,13,1,8,1,9,1,11,1,12,2,9,1,11,3,12,1,17,2,11,1,17,1,11,3,17,1,11,1,17,40,12,2,17,1,10,1,12,1,17,2,10,1,12,1,17,1,10,1,11,1,9,1,8,1,9,3,13,1,8,2,13,1,9,1,8,1,13,2,8,1,13,3,8,1,13,2,7,1,8,1,13,1,6,1,13,6,8,1,13,3,8,1,13,2,8,1,9,2,13,2,8,1,13,3,9,1,13,2,8,1,13,1,8,1,13,1,8,1,9,2,13,1,11,1,9,1,10,1,11,2,16,1,11,2,17,1,16,1,17,7,16,1,11,1,17,7,16,1,17,27,10,1,17,1,16,1,10,1,16,1,17,7,9,1,16,1,11,2,17,24,9,1,12,1,11,1,9,4,11,1,9,2,11,1,9,1,13,1,7,1,9,1,13,3,8,3,9,3,8,2,9,4,8,1,13,1,9,2,8,2,9,2,8,1,9,1,8,2,11,1,10,1,12,1,9,1,12,1,11,1,17,21,11,2,9,1,10,1,11,1,17,1,11,1,17,1,9,1,11,1,12,1,11,1,10,1,17,39,12,1,17,17,9,1,11,3,8,1,9,1,11,1,9,1,8,1,9,1,24,1,9,1,8,1,24,1,8,2,13,1,24,2,13,2,8,1,24,1,13,2,6,1,13,1,7,2,13,1,7,1,6,1,29,2,6,1,29,1,6,1,7,1,6,4,7,1,30,1,6,3,30,1,29,2,30,1,29,1,6,1,13,1,7,1,8,1,13,3,7,1,13,1,8,1,13,1,11,1,9,1,8,1,9,1,12,1,8,1,9,9,8,1,9,1,13,1,9,3,8,1,13,1,24,1,8,2,13,1,8,2,13,2,9,1,8,1,9,1,13,1,9,1,13,1,7,1,9,1,8,4,13,1,8,3,13,1,8,4,9,3,13,2,9,1,8,2,12,1,9,1,13,1,9,4,10,1,8,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,10,2,12,1,9,2,17,1,12,1,17,2,10,2,8,1,17,1,11,1,9,1,12,1,10,2,11,1,12,1,9,1,10,1,9,1,17,1,12,1,17,2,11,1,17,4,11,1,17,2,12,2,17,1,11,1,17,1,11,1,17,2,12,2,17,36,16,1,17,1,11,1,13,1,6,1,30,1,6,1,29,1,30,4,28,1,30,2,28,1,30,1,28,1,29,2,6,2,13,2,6,4,7,1,13,2,7,1,30,1,6,1,28,2,30,2,6,1,30,1,6,2,30,1,7,1,13,1,8,1,12,1,17,22,11,1,17,1,10,2,9,1,8,1,9,1,8,1,9,1,8,1,24,1,9,1,10,1,9,1,8,1,13,1,24,1,8,1,24,1,8,2,24,1,8,1,9,1,8,1,9,1,13,1,8,1,12,1,8,1,24,2,8,1,24,2,9,1,10,1,8,1,9,1,8,1,9,1,10,1,8,1,9,2,13,1,8,1,9,1,11,1,28,1,30,1,28,4,30,2,28,6,30,2,6,1,29,1,13,2,29,1,28,1,30,2,28,2,6,1,28,1,30,2,28,2,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,29,1,30,1,28,1,30,2,28,1,30,1,28,4,30,2,28,3,13,1,30,1,28,1,30,1,6,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,3,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,10,28,1,30,1,28,1,30,1,6,1,30,3,28,2,30,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,2,6,2,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,6,1,30,1,28,2,30,1,6,1,30,5,28,1,30,2,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,3,29,1,13,1,9,1,13,3,6,3,30,2,28,1,30,1,28,2,29,1,28,6,13,1,29,1,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,2,29,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,6,1,28,1,30,1,29,3,30,2,28,1,30,1,6,1,30,2,28,1,30,1,28,5,30,1,28,1,30,2,28,5,30,3,28,1,30,1,28,2,30,5,6,2,13,1,7,1,6,1,30,1,28,1,30,1,28,2,6,1,30,1,6,1,28,9,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,8,30,1,28,1,30,1,28,2,30,1,28,3,8,1,13,1,30,1,28,2,30,1,28,3,30,3,28,2,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,6,1,28,1,30,1,28,1,30,4,28,2,30,2,29,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,3,30,2,28,1,6,1,28,2,30,2,28,5,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,2,30,2,28,1,30,1,13,2,30,3,6,2,30,5,28,2,30,1,28,1,13,1,30,1,28,2,30,1,28,3,30,1,28,8,30,2,28,4,6,1,28,2,30,2,28,1,30,1,28,3,29,1,13,1,30,1,28,1,7,1,6,3,13,2,30,1,6,1,13,1,6,1,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,5,30,3,28,7,30,1,28,1,30,3,28,7,30,2,7,1,9,3,17,1,10,1,8,4,24,1,25,2,27,1,29,1,25,1,7,1,9,1,12,1,10,1,11,1,8,2,9,1,11,1,13,1,8,1,13,2,9,1,13,2,9,1,8,1,9,1,8,1,13,1,17,1,8,1,9,1,13,1,8,1,9,2,8,1,9,6,12,1,11,1,9,2,11,1,9,4,8,1,9,1,8,1,13,1,6,1,7,1,8,1,13,1,24,2,27,2,26,1,30,1,28,1,29,2,30,3,28,4,29,1,30,3,28,6,6,1,13,1,6,2,30,1,28,2,30,1,28,2,30,1,28,6,30,1,6,1,28,2,30,1,28,1,30,6,28,1,30,1,6,1,30,3,28,1,29,1,6,1,30,2,28,1,6,4,29,1,13,1,7,1,13,2,6,1,13,1,9,1,8,1,10,1,8,2,13,2,7,1,13,2,7,2,6,1,7,1,13,1,6,1,13,1,6,6,7,1,13,1,6,3,13,1,30,1,6,2,30,1,6,5,13,1,6,1,13,2,8,1,12,1,17,2,12,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,13,2,28,16,30,1,28,6,30,1,28,1,30,1,6,2,7,1,13,1,7,1,6,1,13,4,6,1,13,1,7,1,29,1,13,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,29,1,30,2,6,1,30,6,29,2,30,2,29,1,30,1,28,1,30,2,29,1,6,2,30,1,29,1,6,1,7,1,30,1,7,1,6,1,13,4,30,1,13,7,8,1,7,2,6,1,29,1,6,1,30,1,6,1,13,1,6,1,29,1,7,1,13,1,6,1,13,2,6,3,13,2,30,1,13,1,6,1,13,3,6,1,13,1,6,1,13,2,8,1,6,1,13,2,9,1,7,1,13,1,8,2,11,1,9,1,17,1,9,3,13,1,9,2,6,1,10,1,11,1,8,2,9,1,13,1,9,4,8,1,10,1,13,1,8,1,9,4,8,1,9,1,10,1,9,1,8,1,13,1,9,3,11,3,16,1,17,6,16,2,17,1,16,1,17,1,11,2,17,1,11,2,17,1,12,1,9,1,17,1,16,1,12,1,11,1,9,1,11,1,12,1,11,2,10,1,17,1,10,1,17,1,16,1,17,3,10,1,17,5,11,1,17,7,16,1,17,6,12,1,17,2,11,1,17,1,9,1,17,1,11,1,17,1,13,1,11,1,9,2,10,1,9,1,12,1,10,1,24,1,12,1,10,1,17,2,12,2,9,1,10,1,11,1,17,1,11,3,17,2,11,1,16,1,11,1,9,1,17,1,16,1,11,1,16,2,17,1,16,1,17,1,11,2,17,1,11,2,17,2,16,2,17,1,16,2,11,1,17,4,16,2,17,4,11,1,16,1,17,2,11,1,16,1,11,2,17,1,16,1,17,2,11,2,17,1,9,1,12,1,17,1,11,1,17,5,9,1,8,2,6,1,13,1,6,1,8,1,13,7,9,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,7,1,13,1,7,1,13,1,7,1,13,1,7,1,13,2,6,2,13,1,6,2,7,1,6,2,7,2,13,2,9,1,11,2,9,2,13,1,8,2,13,2,7,1,8,1,7,1,6,1,13,1,6,1,13,1,6,3,7,1,6,1,7,1,6,2,13,1,6,2,13,1,6,1,30,1,6,1,7,1,6,1,13,1,6,1,13,1,9,1,13,3,7,1,13,1,6,2,7,1,6,2,7,1,6,3,29,1,7,1,6,1,13,1,6,1,13,2,6,1,13,1,7,1,13,1,6,1,30,1,6,1,7,1,6,1,28,1,13,1,29,1,13,1,6,2,29,1,6,1,30,1,13,1,6,1,29,1,6,1,29,1,13,1,7,1,6,2,30,1,13,1,28,1,6,1,13,1,6,1,7,1,30,1,29,1,6,1,13,1,6,1,30,3,6,1,30,1,7,1,29,1,6,1,30,10,6,1,30,1,29,1,30,3,28,1,6,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,29,1,28,1,30,1,6,1,30,3,28,10,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,3,30,1,28,5,6,1,28,2,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,3,30,3,28,1,30,2,28,1,6,1,28,17,17,3,7,1,8,1,28,1,6,1,7,1,6,1,29,2,28,11,30,1,7,1,29,1,7,1,8,2,9,4,30,1,28,6,30,1,9,1,13,1,28,43,16,1,13,1,28,1,30,1,28,2,17,2,8,1,7,1,28,1,30,2,28,3,30,2,8,1,9,1,11,1,13,1,28,5,30,2,28,8,}, {28,1,30,1,8,1,9,1,30,1,28,52,7,1,8,1,12,2,8,1,9,2,7,1,30,1,6,2,12,2,8,1,9,1,8,1,9,1,11,1,16,1,9,1,17,5,16,1,9,1,30,1,29,1,7,1,6,1,30,2,28,1,13,1,12,1,11,1,6,1,13,1,7,1,30,2,13,1,17,2,16,1,11,1,9,1,11,1,8,1,13,2,8,3,17,4,9,1,8,2,13,1,30,2,6,2,28,37,29,1,13,1,9,1,8,1,17,1,24,1,30,2,28,1,30,2,6,2,17,6,16,1,17,1,11,1,9,1,8,1,13,2,28,1,6,1,7,1,6,1,30,1,6,2,30,1,6,1,13,2,7,1,24,1,9,1,11,1,9,1,11,2,17,1,11,1,30,1,28,16,13,1,8,1,7,1,29,1,30,2,13,1,9,1,8,1,13,1,9,1,13,1,8,1,13,2,6,3,30,1,6,2,13,1,6,1,29,1,13,1,8,3,11,1,9,1,11,1,12,4,11,1,17,2,11,1,17,1,16,1,11,1,17,1,11,1,16,2,17,1,11,1,16,1,17,2,11,1,17,4,16,1,17,7,16,2,17,20,12,2,17,1,12,2,17,2,12,1,9,1,12,1,8,2,13,1,8,4,13,3,8,2,6,1,13,3,8,1,13,6,8,1,13,14,6,1,13,1,7,1,13,5,8,1,13,4,8,1,9,1,13,2,8,1,11,1,9,2,11,1,16,1,9,1,17,1,16,2,11,1,17,8,16,1,17,1,16,1,17,13,11,1,17,4,16,1,17,7,16,1,17,1,11,1,17,3,11,1,9,1,11,1,17,11,16,1,11,1,17,1,16,1,11,1,17,24,12,1,17,1,11,1,9,5,8,1,9,1,8,1,9,6,8,1,9,2,8,1,9,3,8,1,9,2,8,1,9,2,8,1,9,1,8,2,9,1,8,1,9,3,8,1,12,1,9,1,11,2,9,1,12,1,17,23,12,1,11,1,12,1,9,1,10,1,9,2,11,1,10,1,12,1,10,2,17,58,10,1,11,2,9,1,8,1,10,1,11,1,8,1,9,1,13,1,9,1,8,1,13,1,24,1,8,2,13,1,24,1,13,3,8,1,13,2,6,1,7,1,8,1,13,1,7,2,8,1,29,1,13,1,28,1,29,1,7,1,6,2,29,2,6,1,7,1,6,4,29,1,6,1,29,1,6,2,13,1,6,1,8,1,9,1,7,1,8,1,13,2,8,1,24,1,9,2,10,1,9,3,8,1,9,5,8,1,9,1,8,1,13,1,8,1,9,1,8,2,9,1,13,1,8,1,9,1,10,1,24,1,13,1,8,3,9,1,24,1,13,2,8,1,13,3,8,1,13,1,8,3,9,1,8,4,13,1,9,2,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,2,9,1,8,3,9,1,13,1,9,1,13,1,8,1,9,1,24,1,12,1,10,1,9,2,8,1,9,1,10,1,9,2,17,1,10,1,17,1,12,1,11,1,12,1,10,1,11,1,10,1,9,2,10,2,11,1,10,1,11,1,9,1,12,1,9,1,11,1,12,1,11,1,17,1,11,1,17,2,12,1,10,1,11,3,12,1,17,2,11,1,17,1,12,1,17,5,12,1,17,8,12,1,17,3,11,1,17,27,12,1,9,1,6,3,30,1,28,1,30,5,29,1,30,1,29,1,6,1,7,1,6,1,13,2,6,1,29,1,6,2,7,1,6,6,29,1,30,1,6,1,28,2,7,1,13,1,6,1,29,1,6,2,9,1,17,5,12,1,17,15,12,1,11,1,12,1,9,1,12,1,10,1,9,2,10,1,8,2,9,1,24,1,8,2,11,1,8,1,9,1,24,2,9,1,8,1,24,1,8,1,13,1,9,1,8,1,13,1,24,1,13,1,6,1,8,1,24,1,8,1,24,1,8,1,9,1,8,1,9,2,8,1,9,1,24,2,9,3,10,1,9,1,8,1,11,1,30,1,28,2,6,2,30,1,6,1,30,3,28,4,30,1,28,1,6,1,30,1,13,2,30,1,28,1,30,3,28,3,30,1,28,2,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,3,30,2,28,3,30,1,28,2,30,1,13,1,6,1,28,1,30,3,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,4,30,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,4,28,1,30,4,6,1,28,2,30,7,28,1,30,2,28,1,30,5,28,1,30,2,28,5,30,1,28,3,30,1,28,4,30,1,28,2,6,1,30,1,6,4,29,1,28,4,30,1,28,2,30,1,28,1,30,2,28,4,30,3,6,1,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,7,6,1,13,1,8,1,13,3,30,2,28,1,6,1,28,2,30,3,28,4,30,2,7,1,13,1,6,1,28,5,30,2,28,3,30,1,28,5,30,5,28,1,29,1,6,2,30,1,28,1,30,1,6,2,30,7,6,1,28,1,30,1,28,2,30,1,28,7,30,1,28,5,30,1,28,3,30,2,28,1,6,1,28,1,30,4,6,1,7,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,7,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,5,30,1,28,1,30,4,28,3,8,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,4,28,1,30,2,28,3,30,1,28,4,30,1,28,1,30,1,29,1,28,2,6,1,30,2,6,1,30,2,28,1,30,1,6,3,30,1,28,1,30,3,28,1,30,1,28,1,6,1,30,1,28,4,30,1,6,1,28,4,30,2,28,5,30,1,28,5,30,1,28,2,30,2,28,1,30,1,28,1,7,1,28,1,6,1,28,1,30,1,28,1,30,1,28,3,30,3,6,1,30,2,6,1,13,1,9,1,13,1,6,2,30,1,13,1,6,1,28,1,6,3,30,2,6,1,28,1,30,1,29,1,30,2,28,1,30,1,6,1,30,1,28,1,30,7,28,2,30,1,28,2,30,1,28,4,30,1,28,2,6,1,28,4,30,2,6,1,30,3,28,2,6,1,29,1,6,1,13,1,29,1,6,1,13,1,28,1,6,1,30,3,28,2,30,1,28,7,30,1,28,5,30,1,28,11,30,1,28,1,30,1,28,10,30,1,7,1,28,4,30,3,28,1,6,1,11,2,9,2,17,1,9,1,24,1,8,2,24,1,8,1,24,1,25,1,27,1,26,1,25,1,24,1,12,1,8,1,11,1,10,1,8,1,17,1,9,1,7,1,9,1,8,1,7,1,13,1,9,2,13,5,9,1,13,1,9,1,10,1,8,1,9,2,13,1,11,2,9,2,11,1,9,5,11,1,10,1,11,2,10,1,8,1,9,2,13,2,6,1,13,1,7,1,8,1,24,1,8,1,27,3,29,1,30,2,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,29,1,28,2,30,1,28,4,30,1,13,1,6,2,30,2,28,5,30,1,28,1,30,1,28,3,30,1,6,1,30,4,28,2,29,2,28,1,6,1,30,1,6,1,30,3,6,1,30,3,29,2,28,1,30,1,6,1,30,1,13,1,30,1,6,2,13,1,6,1,13,1,9,1,8,1,13,1,8,1,13,8,6,1,13,1,7,1,6,2,29,1,7,1,13,1,6,1,30,2,6,2,13,1,6,2,13,1,6,3,7,2,13,1,6,5,13,2,8,2,17,3,9,2,8,1,13,1,9,1,6,1,8,2,13,3,30,1,28,22,30,1,28,1,30,2,6,2,13,1,7,1,13,7,6,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,30,3,29,1,30,1,29,1,30,1,29,1,30,1,6,2,30,1,6,1,28,1,30,1,28,1,6,2,30,4,28,1,30,1,6,1,30,4,29,1,30,1,6,2,30,1,6,7,13,7,8,1,13,2,6,3,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,13,1,6,1,13,2,6,1,13,2,6,1,29,1,6,2,13,1,7,1,8,1,6,1,13,2,7,1,13,1,7,1,13,1,8,1,13,2,8,1,13,2,8,2,13,1,8,1,9,2,11,1,8,1,7,1,9,2,10,1,9,2,8,2,9,1,8,1,13,2,10,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,10,1,9,2,8,1,9,1,8,1,9,1,11,1,9,3,11,1,17,1,11,1,17,4,11,1,17,2,16,1,17,2,9,1,16,1,11,1,12,2,11,2,17,1,10,1,9,1,11,2,17,1,11,1,9,1,11,1,16,1,12,1,11,1,17,1,11,1,17,1,12,1,17,1,11,1,17,2,11,1,17,1,16,1,17,21,12,1,11,3,12,1,17,1,9,1,10,1,11,1,12,2,11,1,12,1,17,1,12,1,17,1,9,1,12,1,17,2,11,5,12,1,11,2,12,1,11,2,17,1,11,2,17,1,11,1,17,1,11,8,17,1,11,2,17,6,16,1,17,1,11,4,16,2,17,1,11,1,17,1,11,1,17,4,11,1,17,1,16,1,11,3,17,3,12,1,11,1,10,1,17,1,11,1,17,4,9,1,8,1,9,1,13,1,8,1,9,2,13,5,6,1,13,3,6,1,13,2,7,1,13,1,30,1,13,1,6,1,13,7,6,2,13,2,7,2,8,1,6,1,30,1,13,2,6,1,13,1,9,1,16,1,11,1,10,1,8,2,13,1,7,1,13,3,8,1,13,1,6,1,13,2,7,1,6,1,7,2,6,1,30,1,8,1,29,1,13,1,6,4,13,1,6,1,29,1,6,2,30,1,13,4,6,2,7,2,13,2,6,1,13,2,6,1,13,2,6,3,30,1,6,1,7,1,6,2,13,2,29,1,13,1,6,1,13,2,6,2,13,1,30,1,6,2,30,1,6,1,30,1,6,2,30,1,29,1,7,1,6,2,30,2,6,1,30,1,6,1,13,1,30,2,29,1,30,1,6,1,7,1,29,1,6,2,29,1,6,2,30,1,7,1,30,1,6,1,30,1,6,1,28,1,6,5,28,2,30,3,6,1,30,3,29,1,28,1,6,1,28,1,30,2,28,1,30,2,28,3,30,2,28,1,30,1,29,1,6,1,30,2,28,3,30,1,28,8,30,1,28,1,30,1,28,5,30,2,28,1,30,1,6,1,30,2,6,1,30,2,6,2,28,1,30,5,29,1,6,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,16,17,2,16,1,12,1,8,1,6,1,7,1,6,1,13,1,6,1,28,12,30,1,28,1,6,1,13,1,9,1,8,2,9,3,28,7,13,1,12,1,13,1,30,1,28,42,8,1,6,1,28,1,30,2,28,1,12,1,17,1,9,1,6,1,30,1,28,5,29,1,13,1,9,1,17,2,30,1,28,5,30,1,28,9,}, {28,1,30,1,8,1,17,1,28,53,6,1,8,1,11,1,17,1,6,1,9,2,7,1,29,1,6,1,13,1,11,1,12,1,8,1,6,1,7,1,13,1,11,2,16,2,17,3,16,1,17,1,11,1,8,1,6,2,30,1,6,1,28,1,30,1,13,1,9,1,10,1,7,1,30,2,6,1,30,1,8,1,12,1,11,1,17,1,11,1,16,1,11,1,8,1,9,2,13,1,9,1,10,2,11,1,17,2,10,1,8,1,13,2,29,1,30,1,7,1,13,1,28,37,7,1,13,1,8,1,9,1,12,1,9,1,6,1,28,2,30,2,6,2,12,1,17,5,16,2,11,1,9,1,8,1,13,1,7,1,6,3,30,1,6,2,13,1,7,1,6,1,13,1,7,1,13,2,9,2,10,1,9,1,17,2,11,1,28,17,7,1,8,1,13,1,6,1,30,2,13,1,9,1,8,1,13,1,10,1,13,1,9,2,13,1,7,1,30,2,29,1,6,4,13,2,7,1,13,1,8,2,10,1,12,1,11,2,12,1,10,1,11,1,12,2,17,5,16,2,17,2,11,1,17,1,16,1,17,1,16,1,11,1,16,1,11,1,12,1,17,1,16,1,17,2,16,1,17,6,12,1,17,16,12,1,10,1,12,1,17,5,11,1,9,4,13,1,10,1,8,1,13,1,8,1,13,2,8,2,13,3,7,1,13,8,7,1,13,19,8,1,13,9,8,1,9,1,10,1,9,1,8,1,11,1,17,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,17,3,16,1,17,2,9,1,17,1,10,1,17,10,11,1,17,5,16,1,17,10,16,1,17,2,16,1,11,1,17,5,16,1,17,2,16,1,17,6,16,1,17,1,16,2,9,1,17,11,11,1,17,5,11,1,17,5,10,1,12,1,11,3,9,2,10,1,13,1,10,1,9,4,8,1,10,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,8,1,9,2,8,1,13,1,11,1,9,1,8,2,9,2,8,2,9,1,11,1,9,1,11,1,10,1,17,1,11,1,12,1,11,1,17,20,9,1,11,1,12,2,11,1,12,1,17,1,9,1,11,1,9,1,11,1,10,1,9,1,10,1,17,1,11,1,17,1,12,1,17,35,12,1,17,20,11,1,9,3,10,2,9,2,8,1,9,1,24,1,13,2,9,1,13,1,7,1,13,1,7,1,8,1,24,1,8,1,13,1,8,1,13,3,7,2,6,2,29,3,6,1,30,1,6,1,29,1,6,1,30,1,13,1,6,2,30,1,29,3,6,1,29,2,6,3,13,1,24,1,8,2,13,3,24,1,9,1,10,1,9,1,10,2,9,2,10,1,13,1,9,5,8,1,9,1,13,1,10,1,8,1,9,1,8,1,9,1,13,1,9,1,24,1,13,1,9,1,8,1,13,1,8,2,13,1,9,2,8,1,9,1,13,1,9,1,13,3,9,1,8,1,13,1,24,1,13,2,9,1,13,1,8,1,12,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,4,8,2,9,2,11,1,8,1,11,1,10,3,9,3,8,1,9,3,8,1,9,1,8,1,9,2,12,1,8,1,10,1,11,1,9,1,11,1,9,2,11,1,10,1,9,1,12,1,9,1,12,1,10,1,11,1,17,1,12,2,17,3,11,1,12,1,17,1,9,1,17,6,12,1,17,43,16,2,13,1,6,2,13,1,30,2,28,1,30,1,6,5,7,1,13,2,7,1,13,1,6,6,7,1,6,2,7,1,6,2,30,1,6,2,13,1,8,1,13,2,7,1,13,1,7,1,16,1,17,22,12,3,9,1,11,1,8,2,24,1,8,1,13,1,9,2,8,1,24,1,8,1,13,1,8,1,13,1,10,1,9,1,8,1,11,1,8,1,13,1,8,1,13,2,8,1,13,1,7,1,13,1,8,2,24,2,8,2,24,1,9,1,10,1,9,1,10,1,24,1,10,2,9,2,13,2,9,1,30,1,28,4,30,3,6,1,28,1,30,1,28,3,30,3,6,1,13,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,13,1,30,4,28,1,30,3,28,1,30,2,28,4,6,1,28,3,30,1,28,1,30,3,28,1,30,2,13,1,28,2,6,1,28,1,30,2,28,3,30,1,28,3,30,2,28,1,30,1,28,1,30,2,28,4,30,4,28,1,30,2,6,1,28,1,30,1,28,1,30,5,28,1,30,4,28,1,30,3,28,1,30,1,28,1,30,4,28,2,30,4,6,1,28,2,30,1,28,3,30,3,28,3,30,2,28,1,30,1,6,2,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,3,6,1,28,2,30,8,28,2,30,1,6,1,28,1,30,2,28,1,6,1,28,3,30,4,6,1,13,1,7,1,8,1,13,1,6,1,29,1,30,3,28,2,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,1,6,1,8,1,13,1,30,2,28,4,30,1,28,1,30,2,28,3,30,1,28,6,30,2,28,3,30,2,28,1,30,2,6,1,30,2,28,3,30,1,6,1,28,1,30,2,28,1,30,2,28,5,30,1,28,5,30,1,28,1,30,2,6,1,29,1,28,1,30,5,28,1,30,2,6,1,13,1,28,1,30,2,28,2,30,1,28,22,30,1,28,1,6,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,6,1,13,1,30,1,28,3,30,1,28,9,30,1,28,3,29,1,6,1,28,7,30,1,28,1,29,1,28,1,30,8,28,1,6,2,13,1,6,1,29,1,6,2,30,1,6,1,30,4,6,1,28,1,30,4,28,1,30,1,28,1,30,3,28,1,30,1,28,4,30,2,28,3,30,1,28,3,30,1,28,1,30,1,28,1,6,1,28,1,30,5,6,1,30,1,28,1,30,2,28,3,30,1,6,1,13,1,30,1,13,1,11,1,13,1,6,1,29,1,6,1,13,2,30,1,6,1,30,1,6,1,29,1,6,1,30,1,28,2,30,1,29,1,30,2,29,1,30,2,28,2,30,1,28,3,30,1,28,3,30,1,28,10,6,1,28,1,30,4,7,1,30,3,6,1,28,1,6,3,13,1,6,1,30,1,28,1,30,3,28,1,30,1,28,12,30,1,28,2,29,1,6,1,30,1,28,3,30,1,28,1,30,1,28,4,30,2,28,12,30,3,28,2,30,1,28,2,29,1,28,1,13,1,11,2,9,2,10,1,9,1,24,1,8,1,12,1,8,1,25,2,24,1,27,1,26,1,8,1,24,1,9,2,12,1,10,1,9,3,13,5,9,1,13,1,9,1,13,2,11,1,9,3,13,1,10,1,13,1,8,1,9,1,8,1,13,1,8,1,9,3,8,1,10,2,9,1,11,1,10,1,9,1,11,1,9,1,12,1,9,1,10,1,9,1,8,1,7,1,13,1,24,1,7,1,24,1,8,2,29,1,27,1,29,1,28,1,29,1,30,1,6,1,28,1,29,1,13,1,28,1,30,1,28,4,6,1,28,8,6,1,13,1,7,1,30,2,28,1,30,1,28,3,30,1,28,2,30,2,28,1,6,2,28,2,30,2,28,1,30,1,29,1,30,3,28,1,30,3,28,2,30,1,28,1,6,1,30,3,28,1,30,2,7,1,30,1,13,1,7,1,13,3,8,2,13,1,8,3,13,6,6,2,7,1,6,2,30,1,13,1,29,1,6,1,13,1,6,3,7,1,29,1,7,1,6,1,7,1,29,1,6,2,13,1,7,1,6,1,29,1,6,3,13,1,7,1,9,2,11,1,12,1,17,1,10,1,9,2,8,1,13,3,8,1,13,1,8,1,13,1,30,1,28,4,30,1,28,20,30,1,7,1,6,2,30,1,13,6,6,1,29,1,30,2,6,2,30,1,29,1,30,4,6,1,30,1,6,1,30,1,29,2,30,2,28,1,30,1,29,1,30,2,6,1,30,1,29,1,30,1,28,1,30,2,28,2,30,1,13,1,30,2,29,1,30,1,29,1,7,1,29,2,13,1,30,1,7,1,13,1,6,2,13,1,8,1,13,3,9,1,13,2,7,1,13,2,30,2,6,2,29,1,6,2,29,1,13,1,6,1,30,1,13,3,6,1,13,1,6,1,13,1,6,1,13,2,7,1,6,3,13,2,7,1,6,1,13,2,7,1,13,2,6,1,13,1,9,1,8,1,13,1,9,1,8,3,13,1,11,2,10,1,8,1,10,1,8,2,9,2,13,1,9,1,13,1,11,1,13,1,9,1,13,2,10,1,8,1,9,2,13,1,11,1,10,1,8,2,9,2,8,1,9,3,10,1,12,1,9,1,11,1,17,10,16,1,11,1,12,2,17,4,16,1,17,2,11,1,16,1,12,1,16,1,11,2,17,1,9,1,12,1,17,1,11,1,17,1,16,1,11,1,17,1,11,1,17,2,11,1,17,2,16,1,17,8,16,1,17,3,16,1,17,2,11,1,17,6,10,1,17,1,11,1,12,2,11,1,17,3,9,1,17,1,11,1,12,1,10,1,11,1,12,2,11,1,12,1,17,3,11,1,17,3,10,1,12,1,17,2,12,1,17,1,11,1,16,1,11,1,16,1,11,1,17,2,11,1,17,6,16,1,11,1,16,1,11,1,17,2,11,1,17,7,16,1,17,1,11,1,16,1,17,1,11,1,16,1,17,3,11,1,17,2,12,1,11,1,10,1,17,1,11,1,16,1,17,5,8,1,13,1,9,1,8,2,9,2,13,1,8,1,13,2,6,1,13,1,8,1,13,3,7,1,6,1,7,1,13,1,6,1,8,1,13,1,8,1,13,8,6,2,7,1,6,2,29,1,7,1,6,2,13,2,8,1,16,1,10,1,9,1,7,1,8,2,13,1,8,1,6,1,13,1,6,1,13,2,8,1,13,1,6,1,13,1,9,1,6,1,13,5,30,1,6,1,13,1,30,1,13,1,6,1,13,2,6,1,13,1,7,1,8,1,13,4,8,1,6,1,29,1,6,1,13,1,6,1,13,1,6,1,30,1,28,1,6,2,30,1,6,1,7,1,6,1,7,3,13,2,6,1,7,1,13,1,29,1,6,1,13,2,6,2,13,1,6,1,30,1,13,2,6,1,30,1,13,1,6,1,13,2,6,2,7,1,6,2,30,1,6,2,29,1,6,6,13,1,6,4,29,1,6,1,29,1,30,1,6,1,30,1,29,1,28,1,29,1,30,1,6,1,30,3,29,1,28,1,6,1,28,1,30,1,29,2,30,2,28,3,30,1,28,1,30,2,28,1,30,1,28,1,6,1,29,1,28,1,30,1,28,2,30,2,28,1,30,3,28,1,30,1,28,1,30,2,28,6,30,1,28,1,30,6,28,1,30,2,28,1,6,1,30,4,28,2,30,2,28,1,30,4,29,1,30,2,13,1,6,1,29,2,30,1,6,1,13,1,30,1,28,15,29,1,17,2,11,1,9,1,7,2,6,1,13,1,7,1,30,2,28,12,30,1,7,1,30,1,13,2,9,4,28,7,8,2,7,1,28,43,13,2,30,2,28,2,17,2,12,1,30,2,28,5,6,1,13,1,10,1,17,2,6,1,28,6,6,1,30,1,28,7,}, {28,2,13,1,12,1,6,1,28,52,29,1,13,1,12,1,11,1,13,1,6,1,8,1,7,1,6,2,29,1,11,2,8,1,7,1,13,2,11,1,17,5,16,2,11,1,9,1,8,1,6,1,28,1,30,2,6,1,28,1,13,1,9,1,10,1,8,1,30,3,28,1,6,1,8,1,17,2,16,1,11,1,16,1,8,2,9,1,8,2,10,1,9,1,11,1,17,2,11,1,9,1,13,1,6,2,7,1,6,1,13,1,29,1,28,36,30,1,6,1,8,1,9,3,6,1,30,1,28,2,6,1,7,1,6,1,8,1,17,5,16,3,9,1,13,1,7,1,13,1,6,3,28,1,29,1,30,1,28,1,13,1,7,2,6,1,13,1,24,1,13,1,10,1,17,4,11,1,30,1,28,17,8,1,7,1,13,1,6,2,9,1,8,1,9,3,8,2,13,3,6,3,29,1,6,1,29,1,7,1,6,1,13,4,8,3,9,1,10,1,12,2,10,1,12,2,17,2,11,2,17,9,11,2,17,1,12,1,11,1,12,1,17,1,11,1,17,2,12,1,16,1,17,2,11,1,17,25,12,1,9,1,24,1,9,1,11,1,13,1,9,1,8,1,13,4,8,1,7,1,8,1,13,2,7,2,13,14,6,4,7,1,8,1,6,1,13,2,7,1,8,1,13,3,7,2,13,1,6,1,13,3,8,4,9,3,12,1,11,2,12,1,16,1,9,1,17,3,16,1,17,2,16,1,17,5,16,1,17,8,11,1,12,1,17,7,16,1,17,2,16,1,17,4,11,1,17,8,16,2,17,12,11,2,16,1,11,1,17,24,12,2,10,1,12,1,11,1,10,1,9,2,8,2,11,1,10,1,11,1,8,1,9,2,13,1,9,8,10,2,9,3,8,1,9,2,8,1,9,4,11,1,10,2,11,2,17,2,12,1,17,23,11,2,12,1,11,1,12,1,17,1,11,6,9,1,17,1,11,1,12,1,11,1,17,25,12,1,17,29,12,2,9,1,8,1,10,1,8,1,10,1,17,1,10,1,8,4,24,1,8,1,24,1,13,3,8,1,24,1,7,1,8,1,13,1,8,2,13,1,7,3,6,3,7,1,29,1,6,2,29,1,6,1,29,3,6,1,7,1,30,2,6,3,30,1,7,3,8,3,24,1,13,1,9,2,12,1,9,1,10,1,9,1,10,1,9,1,8,2,10,1,9,7,8,1,11,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,13,4,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,2,13,1,24,1,13,1,8,1,24,1,13,1,9,2,13,1,8,1,9,1,13,2,12,1,9,1,8,1,10,1,13,1,8,2,9,1,10,1,8,1,9,2,10,1,8,1,9,1,8,2,13,1,9,2,10,3,8,2,9,3,11,1,12,1,8,1,9,1,24,1,9,3,10,1,12,2,10,1,12,1,9,1,12,1,9,1,8,1,11,1,9,1,11,1,10,1,11,1,9,1,17,1,12,1,17,1,11,1,12,1,10,1,11,1,17,1,9,1,17,1,10,1,11,2,17,2,12,1,17,1,12,1,17,15,9,1,17,26,11,1,17,2,11,1,8,1,13,2,6,1,30,4,6,5,13,2,7,1,6,4,29,1,6,4,29,1,30,2,6,2,7,1,6,1,7,1,13,5,7,1,17,22,12,2,10,1,9,1,10,1,9,2,13,1,9,2,10,1,8,1,17,1,13,1,9,1,8,1,24,2,13,1,8,1,9,1,8,1,24,1,9,1,8,4,9,1,13,1,7,1,13,1,8,2,13,1,24,4,11,1,8,1,24,1,12,1,11,1,10,1,9,2,24,1,9,1,8,1,9,1,7,1,30,1,28,1,6,1,28,1,30,1,29,1,30,4,28,2,30,3,28,1,13,3,28,2,30,1,28,1,30,7,28,1,30,1,6,1,30,2,6,1,30,1,28,4,30,1,28,7,30,2,28,2,30,1,28,1,30,1,28,3,6,2,30,1,28,1,6,1,28,4,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,30,6,28,4,30,2,28,1,30,1,6,1,30,1,28,6,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,2,30,1,6,2,28,1,30,4,28,1,30,3,28,1,30,4,29,1,28,1,30,4,28,1,30,3,29,1,28,2,30,6,28,1,29,1,30,1,28,1,30,2,28,1,30,2,28,1,9,1,7,1,13,1,8,1,13,1,6,1,28,1,29,1,6,2,28,1,30,1,28,3,13,1,30,1,28,1,30,1,6,2,29,1,13,2,6,1,29,1,28,4,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,6,1,30,3,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,2,30,2,28,1,30,1,28,3,30,1,28,4,30,3,28,1,30,2,29,1,30,1,28,1,13,1,28,1,6,1,30,2,28,1,6,1,28,3,30,1,13,1,28,1,30,2,28,1,30,1,28,1,30,1,28,8,30,1,28,1,30,1,28,2,30,3,28,5,30,1,28,1,30,1,28,9,30,1,29,1,28,2,13,1,30,1,28,2,30,1,28,4,30,1,28,1,29,1,28,2,30,1,28,3,6,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,8,28,1,6,1,28,1,6,1,30,2,28,2,6,1,30,2,6,1,29,1,30,1,6,1,30,1,29,1,6,1,30,1,28,2,30,3,28,3,30,2,28,2,30,1,28,12,30,1,28,2,30,1,28,1,30,4,28,2,30,2,28,1,30,1,28,3,30,3,28,1,6,1,30,1,13,1,9,1,6,4,7,1,13,1,28,1,30,2,28,1,30,4,28,1,30,1,28,2,30,2,28,1,30,6,28,1,30,1,28,2,30,1,28,1,30,1,28,1,29,1,6,1,28,1,30,1,28,1,30,1,28,2,6,1,28,1,29,1,30,2,28,1,30,2,28,1,30,1,29,1,28,1,13,1,6,2,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,12,30,1,28,1,30,1,28,3,30,1,28,4,30,3,28,2,30,1,28,10,30,1,13,1,28,5,30,2,8,1,12,2,13,1,17,1,24,1,10,1,24,5,25,2,26,1,8,1,7,1,17,1,9,1,10,2,9,3,10,1,9,1,6,1,7,1,13,1,9,1,13,5,12,1,9,1,13,1,11,1,9,2,13,1,9,2,13,1,17,1,13,1,9,2,8,1,11,1,8,1,9,1,11,1,10,1,9,1,12,1,11,2,13,1,9,1,11,1,8,1,13,1,6,1,13,3,24,1,8,2,29,3,30,2,29,1,30,1,28,1,29,2,28,12,30,1,28,2,30,1,13,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,4,6,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,29,2,28,1,30,2,6,1,28,1,30,4,6,1,28,1,30,1,6,1,30,1,7,1,13,1,6,1,13,2,8,1,13,3,7,1,8,2,13,1,6,1,8,1,13,1,6,2,13,2,6,4,29,1,30,1,6,2,30,2,6,1,7,1,6,2,13,1,6,2,7,1,6,3,13,1,30,2,6,1,7,1,13,2,8,1,9,1,8,1,12,1,17,2,9,1,8,4,13,1,8,2,13,2,7,1,28,11,30,1,28,10,30,1,28,1,29,1,6,4,13,3,8,1,13,1,7,2,6,2,7,1,28,1,13,1,30,1,13,1,6,1,30,2,6,1,30,1,29,1,6,2,28,2,30,5,6,1,28,1,30,5,28,1,29,1,30,2,29,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,2,30,1,6,2,13,2,6,1,9,1,13,2,9,1,13,1,8,1,13,1,9,1,28,1,6,1,30,3,28,1,6,1,30,1,6,2,30,2,7,1,13,1,6,1,7,1,6,1,7,1,29,1,13,1,30,1,13,1,7,2,13,6,6,1,13,4,7,1,8,1,13,6,9,1,13,1,8,1,9,1,17,1,10,1,8,1,9,1,8,1,13,1,8,1,13,1,9,2,8,1,13,1,8,1,9,1,8,1,9,1,13,2,8,2,9,3,8,1,9,1,8,2,9,1,11,1,8,1,9,1,10,1,9,1,17,1,11,1,17,12,11,1,17,2,16,1,10,1,11,1,17,1,11,1,12,1,16,1,11,2,10,1,12,1,17,1,11,1,17,2,11,1,17,1,11,1,12,1,11,1,12,1,17,3,12,1,17,1,16,1,17,14,16,1,17,10,11,1,17,5,11,1,17,1,12,1,17,1,12,2,17,1,11,1,12,1,17,1,12,1,11,1,17,2,10,1,17,1,12,1,17,2,11,2,17,1,12,1,17,5,16,1,11,2,16,1,17,3,11,1,17,7,16,1,17,4,16,1,17,16,12,1,9,1,10,1,11,3,17,4,16,1,7,1,8,3,6,1,8,3,9,1,6,1,9,1,8,2,13,2,8,1,13,4,7,1,13,1,8,1,30,1,13,6,6,1,7,1,13,1,7,1,6,1,13,1,6,4,7,1,13,1,6,1,13,1,11,1,9,1,16,1,9,1,11,1,9,1,13,1,6,1,13,1,29,1,13,2,6,2,8,1,6,1,13,1,6,1,7,1,13,2,6,1,13,1,7,1,29,1,13,1,7,1,6,2,13,1,6,3,7,1,13,1,9,1,13,3,7,1,6,2,7,1,13,1,30,1,6,6,13,1,30,1,13,1,30,1,6,3,30,1,6,2,7,1,6,1,7,1,29,1,13,1,29,1,7,1,6,1,13,1,7,1,6,1,13,3,6,2,13,1,7,1,13,1,30,1,6,1,29,1,13,1,29,1,30,1,7,2,6,1,29,1,6,2,29,1,6,1,28,1,29,1,13,1,7,1,13,1,6,2,7,1,30,1,29,1,6,1,30,1,29,2,30,2,6,1,30,2,6,2,30,2,6,2,30,1,28,1,30,5,28,1,30,1,28,1,30,3,28,2,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,3,6,1,28,5,30,1,28,1,30,1,28,3,30,1,6,3,30,2,28,1,30,3,28,1,30,1,28,1,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,29,1,6,3,30,1,6,1,30,1,29,1,28,16,6,1,17,2,8,1,11,1,13,1,7,1,6,1,7,1,29,1,6,2,28,10,30,1,28,2,6,1,13,1,9,1,8,1,13,1,9,2,13,1,28,7,8,1,13,1,28,2,30,1,28,41,9,1,8,1,28,1,6,1,28,2,17,2,13,1,6,1,30,1,28,4,6,1,28,1,13,1,16,1,17,2,29,1,28,5,6,1,29,1,28,8,}, {30,1,28,1,6,1,17,1,8,1,28,44,30,1,28,7,30,1,13,1,9,1,12,1,9,1,30,1,6,1,13,1,29,1,30,1,13,1,9,1,11,1,9,1,6,1,13,2,9,2,11,1,16,1,17,2,16,3,11,1,9,1,6,1,28,5,6,1,12,1,9,1,8,1,30,1,6,1,30,1,6,1,13,1,11,1,17,2,11,1,16,1,17,1,8,1,9,2,11,1,8,1,9,2,11,1,17,2,12,1,9,1,13,1,6,1,30,1,6,3,30,1,28,37,13,1,24,1,10,1,8,1,9,1,8,1,30,3,6,1,30,1,6,1,8,1,17,4,11,1,17,2,9,2,6,2,13,1,30,1,6,1,7,1,6,1,28,1,6,1,7,1,8,1,29,1,9,1,13,1,6,1,10,1,13,1,10,2,17,4,28,17,29,1,8,1,13,2,30,1,13,1,11,1,10,1,11,2,9,2,10,1,8,1,13,1,7,2,6,2,29,2,6,1,29,1,6,1,13,2,7,2,8,3,9,1,10,1,9,1,10,1,9,1,12,2,11,1,12,1,17,2,11,1,17,2,16,1,17,3,11,1,17,3,12,1,17,5,12,1,17,6,11,1,17,1,12,1,17,20,12,1,11,1,9,1,8,2,13,1,9,1,8,1,9,1,13,1,9,2,13,4,8,1,7,1,13,2,7,1,13,8,8,1,13,2,6,2,13,1,6,1,30,1,6,4,13,1,6,1,13,7,7,2,13,4,6,1,8,1,9,1,13,2,9,4,10,1,11,1,17,1,16,1,9,1,11,1,16,2,11,1,17,9,16,1,17,5,16,3,17,1,16,1,17,6,16,1,17,3,11,1,17,4,11,1,17,1,16,2,17,1,16,1,17,2,16,1,10,1,17,7,11,1,17,4,16,1,17,1,10,1,11,1,17,18,12,1,17,2,12,1,11,1,12,1,17,1,11,3,12,1,9,1,12,1,9,1,8,1,10,1,9,1,13,1,9,2,11,1,9,3,11,1,8,1,9,1,13,1,9,1,10,1,13,1,9,2,8,1,10,1,8,1,11,1,9,2,11,1,8,1,11,1,12,2,11,2,10,1,17,1,12,1,17,22,11,1,9,1,11,1,12,2,11,1,17,1,11,1,10,1,11,1,12,1,9,1,11,1,10,1,17,1,9,1,17,60,10,1,11,1,9,2,11,1,9,1,10,1,12,1,8,5,9,2,13,1,9,1,13,3,9,1,8,2,13,1,8,1,6,1,13,1,6,1,7,1,6,5,29,1,6,1,7,1,29,1,6,1,7,1,6,1,29,2,7,1,6,1,7,1,29,1,6,1,13,1,6,2,13,1,9,1,8,1,9,1,13,1,9,1,10,1,9,1,10,1,9,1,11,1,9,1,11,1,8,3,11,1,13,1,9,3,8,1,9,1,8,1,13,2,8,1,13,1,12,1,8,1,9,3,13,1,24,1,8,3,13,1,9,1,24,1,8,3,24,1,8,1,9,1,8,3,24,1,8,2,9,1,24,2,13,1,9,1,8,1,10,1,9,1,7,1,9,1,8,1,9,1,8,1,13,1,8,2,11,1,10,1,9,3,8,3,12,1,9,1,17,1,8,2,11,1,8,1,9,1,8,1,10,1,11,1,10,1,8,1,12,1,10,2,8,1,9,2,10,2,12,1,9,1,24,1,12,1,24,1,9,1,17,1,9,2,12,1,9,1,13,1,12,2,17,1,10,1,17,1,10,1,17,1,12,1,11,1,17,1,12,1,17,9,12,1,17,1,11,1,17,41,16,1,13,3,30,5,6,2,7,2,6,1,7,1,6,4,7,1,6,6,30,1,6,1,30,2,6,2,13,2,7,1,6,1,13,1,6,2,17,21,12,1,17,2,9,1,10,1,11,1,9,2,8,1,10,1,24,1,13,1,8,3,13,1,9,3,8,3,9,4,13,3,8,1,13,1,8,2,9,1,24,1,13,2,8,1,9,1,8,2,24,1,12,1,24,2,10,1,9,2,8,1,10,1,8,1,9,1,6,1,28,2,30,1,28,1,30,1,6,1,30,2,28,5,30,1,6,1,30,1,6,1,13,1,9,1,28,6,30,2,6,1,28,3,30,1,6,1,30,2,28,3,30,2,28,2,30,1,28,1,30,3,28,3,30,1,28,1,30,2,28,1,30,3,28,1,6,1,13,1,30,1,28,1,30,1,28,9,30,1,28,1,30,3,28,3,30,1,28,3,30,2,28,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,6,1,30,1,28,1,6,1,30,7,28,5,30,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,6,1,30,4,6,1,7,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,29,1,30,1,28,1,30,5,28,1,30,3,29,1,30,1,28,1,30,3,29,1,30,1,28,1,30,2,28,1,30,3,28,1,30,1,29,1,28,1,6,1,29,1,13,4,30,3,6,1,29,1,28,2,30,1,28,3,29,1,6,1,28,1,6,1,7,1,6,1,13,3,6,1,30,2,28,4,30,1,28,7,30,1,28,7,30,6,6,1,30,2,29,2,30,1,6,1,28,1,30,1,6,1,30,1,28,2,30,2,28,1,30,2,28,6,30,1,28,1,30,1,28,1,30,3,6,3,30,1,28,1,30,3,28,1,30,2,28,1,13,1,6,1,28,1,30,1,28,3,30,2,28,1,30,2,28,5,30,1,28,4,6,1,28,7,30,2,28,4,30,1,28,2,30,1,28,2,30,2,28,1,13,1,6,1,30,1,28,6,30,4,28,2,30,2,28,1,30,4,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,2,30,2,6,2,30,1,29,1,30,2,28,2,30,4,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,4,30,1,28,4,30,1,28,5,30,2,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,6,1,30,1,6,1,30,1,6,1,13,1,6,1,30,3,13,1,6,1,29,1,30,2,6,3,30,2,28,1,30,2,29,1,6,1,13,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,1,6,1,28,1,30,4,28,1,30,1,6,1,30,2,28,1,6,1,28,1,6,1,13,1,6,1,30,4,28,4,30,1,28,4,30,2,28,3,30,2,28,2,30,2,28,4,30,1,28,4,30,6,28,1,6,1,28,2,30,1,28,7,30,1,28,2,30,1,6,1,30,1,28,3,30,1,28,1,30,1,10,1,17,1,10,1,24,1,10,1,12,1,8,2,24,3,25,1,26,2,29,1,8,1,24,1,10,1,9,1,17,1,9,1,8,1,9,1,8,4,13,1,9,2,13,1,9,2,8,1,10,1,9,1,13,1,9,1,11,2,8,1,13,1,8,1,11,1,8,1,13,2,9,2,8,1,10,1,9,1,11,1,10,2,11,1,9,1,11,1,9,1,13,1,8,2,13,3,6,1,8,2,13,1,8,1,27,1,28,1,29,1,30,2,29,1,30,1,29,1,28,1,30,3,28,4,30,1,28,5,30,1,28,4,8,1,6,1,28,1,30,1,28,3,30,1,28,3,6,1,28,3,6,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,8,6,1,30,1,29,1,6,1,29,1,30,1,6,1,13,4,7,1,6,1,13,1,8,1,6,1,13,1,6,1,8,1,7,1,13,4,6,1,29,1,6,1,13,1,30,1,6,1,28,1,6,2,30,1,29,1,6,1,7,1,6,1,7,2,13,1,6,2,13,2,7,1,13,1,6,4,13,3,8,1,9,1,13,1,17,4,9,1,8,2,13,1,9,1,13,1,9,1,8,1,13,2,28,12,30,1,28,5,30,1,28,3,30,1,28,1,29,1,28,1,13,1,6,3,13,2,7,1,13,2,7,1,13,1,6,1,30,1,6,2,28,1,29,1,30,2,28,1,29,1,6,1,30,3,6,1,30,2,7,1,13,1,29,1,30,1,6,1,30,1,6,1,28,1,30,2,28,1,30,2,29,1,6,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,30,1,7,3,13,1,6,2,13,1,6,1,13,5,8,1,7,2,29,1,30,2,29,2,6,2,30,3,7,1,29,1,6,2,13,1,29,1,6,2,13,1,6,1,30,1,7,1,6,1,7,1,13,1,6,1,13,1,7,1,13,1,6,1,13,4,8,1,13,3,8,1,13,1,9,1,13,1,8,1,13,3,9,1,17,1,10,1,9,3,13,1,8,1,9,1,8,2,10,1,13,1,9,7,8,1,10,1,9,1,11,1,13,1,8,2,9,1,8,1,9,2,11,1,9,1,12,1,9,1,12,1,11,1,17,6,12,1,17,2,11,1,17,1,16,1,17,2,12,1,17,1,10,1,17,1,12,1,17,6,11,1,17,1,12,1,17,5,10,1,17,2,11,1,17,1,16,1,17,22,11,3,17,1,11,3,17,4,12,1,17,1,11,1,17,2,12,1,17,2,11,1,17,1,12,1,17,1,12,1,17,4,11,1,12,1,17,3,11,1,17,4,11,1,17,1,16,1,17,2,11,1,17,6,16,1,17,2,16,1,11,1,17,7,16,1,17,3,16,1,17,7,11,2,17,1,11,1,17,1,11,1,16,2,17,4,16,1,9,1,8,1,13,1,8,3,13,1,9,1,13,1,9,1,8,1,13,3,8,1,13,1,9,1,7,2,13,2,6,1,9,1,13,3,6,1,13,2,8,1,6,1,13,1,6,1,7,1,6,3,13,1,7,1,6,1,7,1,6,1,13,2,9,1,17,1,12,1,11,1,9,1,8,2,13,2,6,1,13,1,7,1,6,2,13,1,7,1,13,1,6,1,13,10,30,1,6,1,7,1,13,1,6,1,13,1,8,2,13,1,7,2,13,1,6,1,13,4,7,1,6,1,13,1,30,1,6,1,30,1,6,5,7,1,13,3,6,4,7,2,6,1,7,1,6,1,29,1,13,1,29,1,6,1,13,3,6,1,13,2,30,1,6,1,30,1,6,5,30,1,6,1,29,2,30,1,6,1,30,1,6,1,29,2,13,1,29,1,7,1,6,3,30,2,6,3,30,3,28,1,6,1,30,2,29,1,30,1,6,1,28,1,6,4,28,1,30,3,28,1,30,1,28,2,30,3,6,1,29,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,6,1,28,1,30,1,28,7,6,2,30,1,29,1,28,1,30,1,28,6,30,2,28,1,30,1,28,8,30,2,28,1,30,3,6,1,30,1,29,1,30,2,28,1,6,1,29,1,30,1,28,15,8,1,17,2,16,1,9,1,13,1,8,1,29,1,13,1,29,1,13,1,30,1,28,10,30,1,28,1,29,1,7,1,30,1,13,1,8,1,9,1,13,1,9,1,13,1,28,3,30,2,28,2,13,1,8,1,13,1,6,2,28,40,30,1,8,1,30,1,28,3,13,1,17,2,9,1,7,1,28,6,6,1,9,1,16,1,17,1,11,1,28,6,30,1,29,1,28,8,}, {28,2,6,1,24,1,7,1,28,52,29,1,8,1,11,2,9,1,13,1,6,1,13,2,7,1,13,1,9,1,17,1,8,1,13,1,6,2,16,1,17,2,16,1,17,1,16,1,17,1,16,2,8,1,9,1,30,1,29,1,28,5,8,1,10,1,8,1,30,4,7,1,10,1,17,2,16,1,11,1,17,1,9,1,8,2,13,1,9,1,8,1,10,1,11,1,12,1,17,2,8,1,7,2,30,3,6,1,28,38,13,2,10,1,9,1,8,2,30,1,28,2,29,1,30,1,6,1,7,1,17,4,16,2,11,1,9,2,7,1,13,1,9,2,13,1,6,1,7,1,6,1,30,1,6,1,30,1,8,1,13,1,8,1,24,1,9,1,8,1,13,1,16,1,17,1,12,1,17,2,13,1,28,16,6,1,8,1,13,1,7,1,6,1,8,1,11,1,17,1,11,2,9,2,10,1,9,1,8,2,6,2,30,1,6,1,30,1,6,7,7,1,13,1,8,2,24,1,8,1,11,1,9,2,11,1,12,1,17,1,12,1,17,1,11,1,17,9,11,1,17,2,12,1,17,5,12,1,17,9,11,1,16,1,17,11,12,1,9,1,12,1,11,1,9,1,12,1,9,1,24,1,9,2,8,1,9,1,8,1,9,1,8,1,13,6,8,2,13,3,7,1,13,3,6,1,13,5,6,3,13,1,6,2,7,1,6,1,13,1,6,5,13,7,7,1,13,5,9,1,13,3,9,1,8,1,9,2,11,1,10,1,11,1,17,1,16,2,17,1,16,2,17,6,11,1,17,1,16,1,17,6,12,1,11,2,16,1,17,7,16,1,17,3,11,1,16,1,17,2,16,2,11,1,17,2,16,1,17,1,16,4,17,6,16,3,17,1,11,1,16,1,17,1,16,1,9,1,17,20,12,1,17,1,12,1,17,1,9,1,10,1,11,2,10,1,17,2,9,3,11,1,8,1,11,1,9,1,13,1,9,1,11,1,8,2,9,1,11,1,13,1,10,1,13,1,9,1,8,1,9,3,11,1,8,1,11,1,8,1,9,1,11,1,9,2,12,1,11,1,12,1,17,23,12,1,11,2,12,2,17,1,12,2,9,1,12,1,11,1,9,1,11,1,9,1,12,1,9,1,17,1,9,1,11,1,8,1,17,31,12,1,17,27,12,1,10,1,9,3,8,1,9,1,10,1,8,1,13,1,8,1,24,1,13,1,8,4,13,1,8,1,13,1,8,1,9,1,13,3,7,1,6,1,13,1,29,1,13,1,6,3,29,1,6,2,7,2,6,2,29,1,6,1,29,1,7,1,30,1,6,2,30,1,7,1,13,1,29,1,9,1,8,2,9,4,10,1,9,1,10,1,11,1,9,2,12,1,11,1,9,1,10,1,11,1,13,1,9,1,10,4,9,1,10,1,9,2,10,1,8,1,13,1,8,1,9,1,13,1,8,1,13,2,8,1,13,2,9,1,13,1,8,1,13,1,10,1,13,1,8,2,13,2,11,1,13,1,8,1,13,1,8,1,24,1,8,1,9,2,8,1,9,2,13,2,8,1,9,2,8,2,13,1,9,5,12,1,9,3,10,1,9,1,8,2,11,1,8,1,9,2,12,2,8,1,9,1,8,1,9,2,8,2,12,1,11,1,8,1,12,1,9,1,11,2,10,1,11,1,12,1,13,1,12,1,10,1,12,1,10,1,11,1,17,1,11,2,17,1,12,1,17,2,12,2,17,2,12,2,11,1,17,1,12,1,17,3,11,1,17,38,12,1,17,3,11,1,13,2,30,1,29,1,28,1,30,1,6,1,30,2,7,1,13,2,6,1,7,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,29,2,6,1,29,1,30,3,6,1,30,1,13,1,9,1,6,1,30,1,6,2,9,1,17,21,12,1,10,2,12,1,9,1,10,1,24,1,8,1,13,1,24,1,8,1,9,1,24,1,8,1,24,1,8,1,9,1,13,2,24,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,8,2,13,3,8,2,13,2,8,1,13,1,10,1,8,2,24,1,10,1,24,1,8,1,10,2,9,1,10,1,8,2,9,1,7,1,28,3,30,2,29,1,30,1,6,1,30,1,28,7,6,1,30,1,16,1,6,1,28,2,30,1,28,3,30,1,28,1,30,2,7,1,30,1,28,1,30,3,28,1,30,1,28,4,30,2,28,2,30,2,28,4,30,6,28,2,13,1,30,3,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,4,29,1,30,1,28,1,30,3,28,4,30,3,13,1,30,2,6,1,28,1,30,2,6,1,28,2,30,1,28,1,6,1,28,2,29,1,30,2,28,1,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,1,30,1,6,1,28,1,7,1,6,1,28,3,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,6,30,1,28,2,30,3,6,1,30,4,28,2,30,1,28,1,30,1,28,1,30,1,9,1,13,3,6,1,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,29,1,6,1,13,3,6,2,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,4,28,2,30,2,28,1,30,5,28,1,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,1,13,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,8,30,1,28,1,30,1,6,1,29,1,6,1,30,1,28,1,30,1,6,1,28,2,30,3,28,1,30,2,6,1,30,1,28,1,30,2,28,1,6,1,28,8,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,29,1,6,1,28,2,29,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,6,2,28,4,30,1,28,5,30,2,6,1,28,2,30,7,28,1,30,5,28,1,30,2,28,1,30,3,6,1,28,1,30,4,28,4,6,1,30,1,28,1,30,5,28,2,30,3,28,1,30,1,28,4,30,1,28,16,30,1,6,1,30,1,28,3,30,1,29,1,28,2,30,3,28,2,30,1,7,1,30,1,6,4,30,2,8,1,6,1,28,2,30,1,6,1,30,1,6,1,30,3,29,1,30,2,28,1,29,1,28,1,30,2,28,1,6,1,30,8,28,8,30,1,28,4,30,1,28,1,30,10,13,2,28,1,6,1,28,18,30,1,28,2,30,3,28,4,30,4,28,1,30,1,6,1,28,3,30,2,29,1,28,4,30,1,28,8,30,3,28,2,30,1,28,1,6,1,17,1,12,1,10,2,24,1,10,1,8,2,12,1,24,2,25,1,26,1,27,1,26,1,8,1,12,1,10,1,9,5,13,1,9,2,8,1,13,2,8,1,13,2,9,3,13,1,8,1,10,1,9,1,10,1,13,2,10,1,13,1,9,1,8,2,9,1,8,1,9,1,10,1,9,7,10,1,9,1,8,1,9,1,13,1,7,1,6,2,8,3,24,1,30,1,28,1,30,1,27,1,28,1,29,2,28,2,30,2,28,5,30,1,28,10,7,1,13,1,29,2,28,2,30,1,28,4,30,1,28,2,30,1,6,1,28,2,30,1,28,1,30,1,28,1,30,2,6,1,28,1,30,3,6,1,29,1,30,4,28,1,30,3,13,1,30,1,13,4,6,1,7,1,6,2,13,1,6,2,8,1,13,1,7,1,8,1,13,3,7,1,13,1,7,2,6,4,7,1,6,3,30,2,13,2,29,2,7,1,13,1,6,1,13,1,7,2,13,1,7,1,6,3,13,3,8,1,7,1,8,1,10,1,17,3,12,1,13,1,8,2,13,1,9,1,8,1,9,2,13,1,28,13,30,1,28,9,30,1,29,2,6,2,7,1,6,1,13,2,8,1,13,1,29,1,6,2,30,1,6,1,30,1,29,1,7,1,6,4,30,1,29,1,30,1,6,1,29,1,30,1,6,1,13,1,30,2,6,1,30,3,29,1,30,2,6,2,30,2,6,1,29,2,30,2,29,1,6,1,29,1,6,4,30,2,6,2,13,4,8,1,13,2,6,1,13,1,8,1,6,1,29,1,6,1,30,2,28,1,7,1,6,3,30,1,6,1,30,2,7,1,6,2,13,1,29,1,13,2,29,1,7,1,13,1,7,1,13,2,6,3,13,2,6,1,13,1,6,1,13,1,6,1,13,2,8,2,13,1,6,1,13,2,8,1,13,2,9,1,17,1,10,1,9,2,13,1,9,1,8,2,13,2,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,9,2,8,1,16,1,9,1,11,1,9,1,13,1,9,2,10,1,9,3,12,1,17,1,11,1,12,1,16,1,12,1,17,9,12,1,17,2,16,1,11,1,17,2,11,1,17,1,11,2,17,1,11,1,12,2,17,2,11,1,12,1,11,1,17,2,12,1,11,1,17,2,11,1,17,2,16,1,17,12,16,1,17,4,12,1,17,1,11,1,17,2,12,1,17,4,11,1,17,3,9,1,17,6,11,2,17,1,11,1,17,3,11,1,17,3,12,1,17,1,12,1,17,5,16,1,17,7,16,1,17,10,11,1,17,4,11,1,17,2,11,1,17,2,11,3,17,2,11,1,17,1,16,1,10,2,11,2,17,6,9,2,10,1,9,1,10,1,8,1,13,1,8,2,13,3,8,1,13,1,8,2,6,1,13,1,8,2,7,1,13,3,6,1,13,5,7,1,13,1,7,1,13,1,7,1,6,1,8,1,29,1,6,4,7,1,6,2,11,2,16,2,8,2,7,1,29,1,6,1,13,1,8,1,6,1,13,2,7,1,13,3,6,1,13,11,7,1,13,1,9,1,13,1,7,1,13,3,7,1,13,5,7,1,6,1,7,1,6,1,13,3,6,1,13,1,29,1,30,1,6,2,29,1,30,1,13,1,6,3,13,2,29,1,13,1,6,1,13,1,7,1,6,1,13,2,6,4,30,1,29,1,6,1,29,1,6,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,13,1,6,3,29,1,6,1,30,1,6,1,28,1,30,1,6,1,30,6,28,1,30,2,29,1,30,2,6,1,29,1,30,2,28,2,30,2,28,2,30,1,6,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,6,1,29,1,28,1,30,1,28,17,30,1,28,2,30,1,28,4,6,1,30,2,28,1,29,1,30,1,29,1,28,1,30,1,28,16,8,1,17,2,11,1,16,1,13,4,6,2,29,1,28,12,6,2,7,1,8,2,9,1,11,1,16,1,11,1,28,6,6,1,8,1,9,1,29,1,28,43,8,1,13,1,28,3,8,1,17,2,16,1,30,1,28,5,30,1,6,1,9,1,11,1,17,1,9,1,30,1,28,5,30,1,28,9,}, {28,2,6,1,10,1,8,1,28,52,6,2,17,1,11,1,10,1,8,1,13,1,6,1,7,1,13,1,8,1,9,1,12,1,9,1,30,1,13,2,9,2,12,1,16,1,17,3,16,2,9,2,30,1,28,4,30,2,24,1,12,1,8,1,6,1,29,1,30,1,29,1,30,1,9,1,17,2,16,3,9,1,11,1,13,1,8,1,13,1,8,1,9,1,12,1,11,1,17,1,11,1,8,2,6,1,29,1,6,1,7,1,13,1,6,1,28,37,29,1,13,1,9,3,8,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,12,1,17,4,16,1,11,1,9,1,10,1,13,1,7,1,29,1,7,1,13,1,30,1,6,1,30,1,29,1,7,1,6,2,13,2,8,1,9,1,13,1,9,1,11,1,16,1,12,1,17,2,30,1,28,16,13,2,6,1,13,1,8,1,9,2,11,1,10,1,11,1,9,1,11,1,9,2,13,1,8,1,6,2,30,1,6,1,30,1,6,2,29,1,6,3,13,1,6,1,8,1,13,2,8,1,13,1,11,1,9,3,11,1,12,3,17,25,11,1,17,2,11,1,17,1,11,1,16,1,17,6,11,1,16,3,11,2,9,1,11,1,8,1,11,1,9,3,8,1,13,1,8,2,13,12,6,2,13,3,6,2,13,2,6,1,13,3,6,1,13,1,6,5,29,1,6,3,13,1,29,1,13,16,8,1,9,1,8,1,11,1,10,1,11,3,10,1,17,2,11,2,17,8,11,1,17,1,12,1,16,1,17,4,11,1,17,1,11,1,17,13,11,1,17,6,16,1,17,1,16,1,17,10,16,1,17,3,10,1,16,1,17,1,11,1,17,24,12,1,17,1,9,1,12,1,11,2,10,1,17,1,12,1,11,1,13,1,11,1,8,1,9,2,11,1,9,1,10,1,13,1,9,1,10,1,8,1,9,1,8,1,9,2,12,1,8,2,9,2,10,1,9,3,11,2,12,1,11,1,17,24,11,1,17,3,10,1,11,1,17,1,10,1,9,1,10,2,17,1,10,1,9,2,11,2,9,1,11,1,10,1,17,2,12,1,17,25,12,1,17,2,12,1,17,28,11,1,17,1,10,1,9,4,8,1,9,1,13,1,8,4,13,2,24,2,8,1,9,1,8,2,7,2,13,1,7,1,6,1,13,1,7,1,6,2,29,1,6,2,7,1,6,1,7,3,6,1,7,1,6,5,7,1,13,1,29,1,13,2,9,1,12,2,10,1,17,1,12,3,9,3,12,1,8,1,9,1,11,1,9,4,10,1,13,1,8,1,9,1,10,1,8,3,9,1,10,1,9,1,24,1,8,3,13,1,8,2,13,3,8,2,13,1,8,1,13,1,8,3,13,1,24,2,9,2,8,2,10,1,8,2,24,1,9,2,24,1,9,2,8,1,24,1,13,1,9,1,7,1,9,1,13,1,11,1,9,1,10,1,11,1,9,1,8,1,11,1,9,2,24,1,9,1,8,1,9,3,8,1,9,2,12,1,8,1,11,1,8,1,9,1,11,1,10,1,12,1,10,2,12,1,24,1,11,1,10,1,9,1,11,1,9,1,11,1,10,2,9,3,10,1,12,1,17,3,10,1,12,3,17,3,12,1,17,4,12,1,17,41,16,1,17,2,9,1,13,1,6,1,28,1,30,1,29,1,30,1,6,3,13,1,6,2,29,1,6,7,29,1,30,1,6,1,28,1,30,1,6,1,30,1,6,2,13,2,30,1,6,1,30,1,7,1,9,1,17,20,12,2,17,1,11,1,12,1,8,1,24,1,8,1,11,1,8,1,9,1,24,2,9,1,13,1,10,1,8,2,9,1,10,1,9,1,8,2,13,3,8,1,13,1,8,1,13,2,24,1,8,1,24,1,13,2,8,1,24,1,8,1,24,1,8,1,12,1,24,1,8,1,12,1,24,1,12,1,10,1,9,1,10,1,8,2,9,1,13,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,3,6,1,30,2,6,1,13,1,30,3,28,3,30,1,28,1,30,1,29,1,28,1,6,1,28,1,6,1,30,3,28,4,30,3,28,3,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,13,1,28,2,30,1,28,2,30,1,6,2,30,1,28,1,30,1,29,1,30,2,28,4,30,1,28,4,30,5,28,1,30,1,29,2,30,1,29,1,6,1,30,1,28,1,30,2,28,3,6,1,28,2,30,1,28,4,30,2,28,3,30,1,28,2,30,3,28,8,30,2,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,5,30,1,28,1,30,1,28,4,30,5,6,2,28,1,30,3,28,1,6,1,30,1,28,3,30,2,28,1,30,1,13,2,8,2,13,1,28,1,29,1,28,3,30,1,28,1,30,1,28,4,30,1,7,1,13,3,6,1,13,1,30,7,28,2,30,1,28,1,30,3,28,1,30,2,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,5,6,2,28,1,30,1,6,4,29,1,28,1,30,1,28,4,30,1,28,9,30,2,28,1,30,3,28,1,30,3,28,1,30,1,6,1,28,1,30,1,28,1,30,1,13,1,30,2,28,2,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,3,30,4,28,2,30,2,28,4,30,2,28,1,30,1,28,1,30,1,28,3,6,1,28,1,30,3,28,2,30,1,28,1,30,1,28,3,30,2,28,3,30,1,28,4,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,2,30,3,28,12,30,1,28,1,30,2,28,4,30,1,6,4,29,1,6,1,30,2,6,1,30,2,28,1,30,1,28,1,6,2,13,1,6,1,13,1,6,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,13,1,30,2,29,1,30,1,28,1,6,1,30,1,28,2,30,3,28,1,30,1,28,8,30,1,28,6,6,1,30,1,28,2,30,2,28,1,30,1,28,1,6,1,30,1,6,4,30,2,28,7,30,1,28,3,30,2,28,3,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,13,1,6,1,28,1,30,1,28,1,6,1,30,2,28,1,30,1,28,3,30,2,6,1,28,3,29,1,30,1,28,2,30,1,28,3,30,3,6,2,28,2,9,1,17,1,12,1,10,1,12,2,24,1,8,1,24,2,10,1,24,1,25,1,27,1,26,1,8,1,24,1,9,2,12,1,10,1,8,1,9,2,13,2,9,1,8,1,13,4,9,3,13,1,9,2,8,1,9,1,12,1,8,1,9,2,13,2,8,1,9,4,8,1,10,1,9,1,11,1,13,1,11,1,9,3,8,1,13,1,8,1,13,1,6,2,7,1,8,1,9,1,8,1,24,1,30,1,29,1,30,2,28,1,27,1,29,1,30,1,28,1,30,2,28,5,29,1,28,2,30,1,28,3,30,1,28,3,6,1,13,1,30,1,28,1,30,3,28,4,30,1,28,1,30,1,6,1,30,4,28,2,30,4,28,2,6,1,28,3,30,1,28,1,29,1,30,1,6,1,29,1,30,3,6,1,13,1,6,2,13,1,6,2,13,1,30,1,13,1,7,1,13,1,6,1,7,1,13,1,6,1,7,1,13,1,7,1,13,2,6,2,7,1,6,1,30,1,6,1,28,1,6,1,29,1,6,1,13,1,29,1,6,3,13,1,6,1,13,1,6,2,7,1,13,3,6,1,13,1,7,1,13,1,7,1,13,1,10,1,13,2,11,1,17,3,10,1,11,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,28,24,29,1,6,3,13,6,7,1,13,1,6,1,7,1,30,1,6,2,13,1,28,1,6,1,30,1,6,1,30,2,6,1,30,1,6,2,29,1,30,2,6,2,30,3,29,1,6,1,28,1,30,2,28,1,30,2,29,1,6,1,30,1,6,1,29,1,6,2,30,1,6,4,7,1,30,1,7,1,13,6,9,2,13,2,28,1,6,1,28,1,30,2,29,3,7,1,28,1,30,1,6,1,30,1,6,2,13,1,6,3,28,1,6,2,7,1,29,1,6,4,13,1,6,2,13,1,7,1,13,2,6,1,13,1,6,1,13,1,8,1,13,1,8,1,13,1,8,1,13,3,6,1,8,1,16,1,9,4,8,2,13,1,9,1,13,3,10,1,8,1,9,1,8,2,16,1,8,1,9,6,8,1,9,1,8,1,13,1,9,3,11,1,10,1,17,1,9,1,12,1,11,2,16,1,12,1,11,1,17,15,12,1,17,2,11,1,12,1,17,6,16,1,17,1,16,1,17,2,16,1,17,18,11,1,17,7,11,1,17,1,10,1,17,1,11,1,17,1,11,1,17,2,12,1,17,1,11,1,17,5,16,1,17,9,12,1,17,15,16,1,17,5,16,1,17,21,11,3,9,1,17,1,10,1,17,7,8,1,9,2,13,1,8,1,9,1,6,1,9,1,8,1,13,2,9,1,13,1,8,1,6,1,13,1,6,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,6,1,13,6,8,1,7,1,13,2,8,1,13,1,6,2,13,1,29,1,13,1,6,1,13,1,17,1,16,1,10,1,9,3,7,1,13,1,8,1,7,1,13,3,6,2,13,2,8,1,6,1,13,2,6,1,13,1,6,1,13,3,6,1,13,2,6,3,13,2,6,1,13,1,6,2,13,1,6,1,13,3,6,1,29,1,6,4,13,1,6,1,7,1,13,1,30,1,6,2,7,1,6,2,7,1,6,1,7,1,13,1,6,1,13,1,7,1,6,1,13,3,6,1,7,1,13,1,30,1,6,1,7,1,6,3,30,1,7,1,30,1,6,2,29,1,6,1,29,1,6,2,30,3,6,5,7,1,6,3,30,1,6,3,28,1,13,1,28,1,30,1,29,1,30,1,28,1,6,1,29,1,30,6,13,1,30,7,28,1,30,2,28,1,6,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,30,4,28,4,30,1,6,1,28,5,30,1,28,4,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,6,2,28,1,6,1,28,3,30,1,28,16,8,1,17,2,16,1,9,1,8,1,13,1,7,1,6,1,8,1,7,1,30,1,28,12,30,1,29,1,13,1,10,1,9,1,11,2,17,1,8,1,28,4,6,1,28,1,13,1,24,1,8,1,7,1,28,1,30,1,28,1,30,1,28,39,9,1,7,1,28,3,9,1,17,2,9,1,29,1,28,1,30,1,28,3,6,2,9,1,11,1,17,1,8,1,28,6,29,1,30,1,28,8,}, {28,2,30,1,16,1,9,1,28,46,30,1,28,5,30,1,8,1,12,1,10,1,12,1,7,1,8,1,30,1,6,1,13,2,9,1,17,1,12,1,30,1,6,1,8,1,9,2,11,1,16,1,17,2,9,1,16,1,9,2,13,1,30,2,29,1,28,3,7,1,24,2,9,1,29,1,30,1,7,1,30,1,6,1,11,1,17,4,16,1,9,2,11,2,8,1,13,1,9,1,10,1,17,2,11,1,13,1,6,1,13,3,7,1,29,1,13,1,28,37,6,1,13,1,8,2,9,1,13,1,6,1,7,1,29,1,6,2,30,1,7,1,17,5,16,1,17,2,8,2,9,1,13,4,6,2,29,1,30,1,6,1,13,2,8,1,13,2,9,1,11,1,9,1,17,4,29,1,28,16,13,1,9,1,8,1,9,1,11,3,12,2,11,2,17,1,10,1,9,1,13,3,6,3,29,1,6,1,30,1,29,1,6,4,13,4,8,1,7,1,8,1,9,1,10,1,11,1,12,1,17,1,11,3,12,2,17,12,12,1,17,12,11,3,17,1,11,1,12,1,17,4,16,2,17,1,11,1,8,2,13,1,8,3,13,1,9,1,13,1,9,1,8,2,13,15,6,1,13,1,7,1,13,3,6,1,13,1,30,1,6,6,7,1,6,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,7,1,6,1,13,2,6,1,13,9,8,1,13,1,9,2,8,1,9,1,11,1,16,2,11,2,16,1,11,1,16,1,17,3,16,1,17,6,16,1,17,5,11,1,16,1,17,8,16,1,17,3,16,1,17,2,16,2,17,2,16,1,17,8,16,1,17,3,16,1,17,4,16,2,17,1,11,1,17,1,13,1,17,20,12,1,17,2,12,1,17,3,11,1,9,1,11,3,12,1,11,1,10,1,12,1,9,1,11,1,9,2,8,1,9,1,10,1,9,1,13,1,8,1,10,2,8,1,9,1,8,1,10,1,9,2,10,1,9,2,17,1,11,1,17,1,12,2,17,24,10,1,11,3,9,1,17,1,10,1,11,1,17,2,11,1,17,1,11,2,10,1,17,1,9,1,11,1,9,1,11,1,17,10,12,1,17,51,12,1,10,1,9,1,11,1,9,1,8,1,9,1,8,2,9,1,8,2,24,1,8,2,13,4,8,3,7,1,13,2,7,1,6,2,7,1,6,3,29,1,6,2,13,1,6,1,29,1,6,3,30,1,29,1,6,2,7,1,6,1,13,3,24,1,17,1,11,1,17,1,9,3,11,3,10,1,11,1,10,1,11,1,9,2,10,1,9,2,8,2,11,1,24,1,9,1,8,1,9,3,8,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,8,3,13,2,8,1,24,1,13,1,24,1,8,1,13,1,7,1,24,1,8,2,9,1,8,1,13,1,8,2,9,3,8,1,13,2,9,1,13,1,10,1,8,1,11,1,12,1,9,1,7,1,9,1,8,2,13,1,9,1,8,1,9,2,10,1,9,1,24,1,9,3,12,1,8,1,9,1,24,2,9,1,10,1,17,1,10,2,12,1,11,1,8,1,11,1,12,1,9,1,11,1,9,1,11,1,9,1,11,1,10,2,17,1,10,1,12,1,11,1,17,1,9,1,12,1,17,1,11,1,17,4,12,1,17,1,10,1,17,2,12,3,17,40,11,1,17,1,7,1,28,1,30,2,6,1,28,1,6,1,7,1,13,2,7,1,6,1,29,2,30,1,6,1,30,1,29,4,30,2,28,2,30,1,28,1,29,1,6,4,30,2,13,1,17,22,11,3,10,1,9,2,8,1,9,2,8,1,24,1,8,1,9,1,8,1,7,1,8,2,24,1,9,2,13,1,8,2,13,2,8,1,13,1,7,1,13,1,8,1,13,1,7,1,8,2,13,1,8,3,13,1,9,1,13,1,24,1,12,1,9,2,24,1,9,1,12,1,10,2,8,2,6,1,29,1,30,3,6,3,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,29,1,30,3,28,2,30,6,28,1,6,1,30,2,29,1,28,1,30,1,28,5,30,1,28,6,30,1,28,5,29,1,30,2,28,1,30,1,28,1,30,2,6,1,30,3,13,1,30,3,6,1,30,1,28,1,30,1,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,2,30,6,6,1,30,1,28,1,6,1,28,2,30,1,28,1,6,1,28,1,30,1,28,6,30,1,28,1,30,2,28,1,30,1,28,7,30,1,28,11,30,1,28,4,30,1,28,2,30,1,28,2,30,3,6,1,30,1,28,2,30,1,28,1,30,3,28,1,29,1,28,2,6,1,28,2,6,1,30,1,13,1,9,1,8,1,13,2,6,1,28,1,30,2,28,4,30,2,28,1,6,1,30,1,13,5,6,1,28,1,30,1,28,1,30,1,6,2,30,3,28,1,6,2,28,1,30,1,6,1,30,1,28,2,30,1,28,1,30,8,28,1,30,3,28,1,6,1,30,2,28,1,30,2,7,1,13,1,6,1,30,1,28,1,30,3,28,2,30,1,28,1,6,1,28,2,30,4,28,1,29,1,6,2,28,1,30,2,28,5,30,2,28,3,30,1,13,1,29,1,30,1,28,1,30,1,6,1,28,1,29,1,28,1,6,1,30,1,28,1,30,1,28,2,30,1,28,3,30,3,28,6,30,1,28,1,6,2,28,2,30,3,28,4,30,2,28,1,6,1,28,5,30,3,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,29,1,28,2,30,2,28,6,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,4,30,1,28,3,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,2,28,10,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,6,2,30,1,28,4,30,1,29,1,6,2,13,2,29,1,30,1,28,1,6,5,30,2,28,1,6,1,28,1,30,1,6,2,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,2,28,2,30,1,29,1,30,1,28,2,30,1,6,1,30,1,13,1,30,1,28,1,30,1,28,1,30,2,28,4,30,1,28,3,30,1,28,2,30,1,28,5,30,2,28,1,6,1,28,1,30,2,6,3,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,7,30,2,28,2,30,1,28,1,30,1,28,3,30,2,28,1,30,1,6,1,9,1,28,2,9,1,17,1,12,1,24,1,10,1,24,6,8,1,26,1,27,1,6,1,8,1,24,1,12,1,9,1,17,1,11,1,9,3,8,2,13,1,10,1,13,1,9,3,8,2,9,1,10,1,9,1,8,1,9,1,10,1,8,1,9,1,8,1,11,1,10,1,13,1,8,2,9,3,10,2,9,6,13,1,8,1,10,1,6,1,8,1,6,1,13,1,8,1,24,2,13,1,8,1,29,1,28,1,29,1,30,1,28,1,29,1,30,1,28,4,30,2,28,3,30,1,28,2,30,1,28,7,30,1,9,1,6,1,30,2,28,2,30,1,28,2,30,1,6,1,30,2,28,4,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,5,29,1,30,1,6,1,29,1,30,4,13,1,29,1,6,2,29,1,6,2,7,1,6,1,13,1,6,1,13,1,7,1,13,7,7,1,8,1,30,1,13,1,6,1,13,1,6,2,7,1,30,2,6,2,30,1,6,1,30,1,13,1,6,1,13,1,6,1,13,5,7,1,6,1,7,1,6,1,13,1,9,1,8,1,13,1,9,1,10,1,11,1,17,3,13,1,9,1,13,1,9,2,8,1,13,3,6,1,28,21,30,1,6,3,13,1,6,1,13,4,6,1,13,1,7,1,6,1,30,2,6,1,29,2,30,1,13,1,29,1,28,1,30,2,29,2,6,1,30,1,29,2,30,1,6,1,30,2,6,1,30,1,29,1,30,1,6,2,28,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,30,1,6,3,29,1,30,2,6,2,7,2,13,1,6,1,13,5,8,1,7,1,30,2,28,1,29,1,30,1,28,1,30,1,6,1,28,1,30,1,13,1,30,1,29,1,28,1,13,1,30,2,6,1,13,1,6,2,7,1,6,1,29,1,13,1,6,1,13,2,7,1,13,4,6,2,13,1,6,1,8,1,13,2,7,1,13,2,6,1,8,1,13,1,9,1,13,2,10,1,8,1,9,1,8,2,9,1,8,1,13,2,9,1,13,3,9,3,13,2,9,1,8,1,9,3,10,1,9,4,11,1,12,1,9,2,12,1,17,2,11,2,12,1,17,1,16,1,9,1,16,1,17,11,12,1,17,3,16,1,17,1,10,1,17,3,10,1,17,25,11,1,17,2,11,1,17,3,12,1,17,1,11,2,17,8,12,1,11,1,17,4,16,2,11,2,12,1,17,2,9,1,17,12,16,1,17,19,16,1,17,9,16,1,17,5,16,1,11,1,17,1,9,1,11,1,16,2,17,1,11,1,17,4,9,2,8,1,9,1,8,1,9,4,8,2,13,1,8,1,13,7,7,1,13,1,8,1,13,4,8,1,13,6,7,1,6,1,13,1,6,1,7,1,13,2,7,1,13,3,17,1,9,1,17,1,9,2,7,1,6,1,7,1,13,2,7,1,13,1,7,1,6,1,7,2,13,5,6,1,13,1,6,1,13,1,7,4,6,1,13,1,6,1,13,2,7,1,13,2,6,2,13,1,6,1,30,1,6,5,13,1,6,6,29,2,6,2,30,1,6,1,13,1,6,2,13,1,8,1,6,1,13,1,9,1,8,1,13,2,7,1,6,1,30,1,6,1,29,1,6,1,30,1,29,1,6,1,7,1,29,1,6,1,30,1,7,1,30,1,6,4,29,1,6,1,29,1,7,1,6,2,30,1,29,1,13,1,6,3,30,2,29,2,6,2,30,1,28,1,30,1,6,1,30,1,29,1,30,7,28,2,30,1,6,1,30,7,6,2,28,1,30,1,28,3,30,1,28,1,6,1,30,2,28,1,6,1,30,1,28,3,30,1,28,4,30,3,28,7,30,1,28,2,30,1,28,9,30,1,28,4,30,2,28,1,30,1,28,1,29,1,30,4,28,1,30,1,28,15,10,1,17,2,9,2,13,4,6,1,13,1,30,1,28,11,29,2,6,1,13,1,8,1,9,1,11,1,9,1,10,1,6,1,28,3,6,1,28,3,10,1,8,1,6,1,30,3,28,40,9,1,6,1,28,3,16,1,17,1,12,1,9,1,6,1,28,4,29,2,13,1,8,1,11,1,17,1,8,1,28,6,6,1,30,1,28,8,}, {30,1,28,1,6,1,9,1,17,1,28,53,13,1,11,1,17,1,8,1,7,1,8,1,6,1,7,1,6,1,7,1,24,1,10,1,11,1,13,1,6,1,8,1,13,1,9,1,16,2,11,1,17,1,16,1,11,1,16,1,9,1,13,1,6,1,28,6,11,1,24,1,8,1,29,1,6,1,28,1,29,1,6,1,13,1,17,5,13,1,9,4,13,1,9,1,13,1,17,2,11,1,9,1,13,1,6,1,30,1,7,1,6,1,13,1,6,1,28,37,7,1,9,1,8,1,12,1,11,1,8,1,28,1,30,1,28,1,30,2,6,1,7,1,17,7,16,1,11,1,8,1,9,1,13,1,7,1,6,1,29,1,30,1,29,1,30,1,6,1,30,1,13,1,7,1,13,1,8,1,13,1,24,1,9,1,10,1,17,4,6,1,28,16,13,1,12,1,17,2,11,1,12,1,11,3,10,1,11,2,10,1,9,1,13,1,8,1,13,1,6,1,30,1,6,2,30,1,29,2,30,1,6,1,30,1,7,1,6,1,7,1,6,1,13,1,7,1,13,2,8,2,24,1,9,2,10,1,17,1,12,1,17,1,11,1,12,1,17,2,12,1,17,3,12,1,17,8,11,1,17,2,12,1,17,5,11,1,12,1,17,2,12,2,17,3,16,2,11,1,10,1,9,1,8,2,10,2,8,1,13,1,8,1,13,10,7,1,6,3,13,1,29,1,13,1,30,1,6,2,13,1,6,1,13,2,6,1,13,1,6,1,7,1,13,1,7,1,6,7,29,1,6,3,13,1,30,1,13,1,7,1,13,2,7,1,13,5,7,1,13,1,6,1,7,1,13,3,9,1,8,1,9,1,11,1,9,1,11,2,9,1,17,1,16,1,17,10,16,1,17,4,16,1,11,1,17,1,16,1,17,1,16,2,17,12,16,1,17,2,16,1,17,5,16,1,17,4,16,2,17,7,16,1,17,2,16,2,9,1,17,18,12,1,17,7,10,2,11,1,10,1,9,1,10,1,9,2,17,1,12,1,17,1,12,1,11,1,9,3,11,1,8,1,10,3,9,3,11,1,10,1,9,1,11,1,10,1,17,1,11,3,17,26,11,1,17,1,11,1,17,1,11,1,17,1,12,1,17,1,12,1,9,2,11,1,17,1,9,1,11,2,10,3,9,3,17,2,11,1,17,28,10,1,17,31,11,1,9,6,8,1,24,1,9,1,8,5,13,1,8,2,13,1,7,1,13,1,8,1,13,1,7,1,6,2,7,1,6,1,13,1,6,1,7,1,6,1,7,1,29,1,7,2,6,7,13,1,7,1,13,2,9,1,11,1,17,2,10,1,12,1,9,1,10,1,11,1,9,2,12,1,9,1,10,1,12,1,11,1,8,1,10,1,9,2,24,1,9,1,10,1,13,1,11,1,9,2,24,1,12,1,11,1,10,1,9,1,8,2,13,2,8,1,13,1,9,1,13,3,8,1,13,1,24,1,8,1,13,2,8,1,13,2,9,1,13,1,8,2,24,1,13,1,24,1,8,3,24,1,13,3,8,3,13,1,8,1,11,1,9,1,8,3,9,1,8,1,24,1,9,2,8,2,9,2,24,1,8,1,24,1,8,1,10,1,8,1,9,1,13,1,11,1,12,1,10,1,9,1,10,1,8,1,17,1,12,2,11,2,10,2,9,2,10,1,9,3,10,1,9,2,17,2,12,2,17,1,12,2,17,1,11,1,17,1,11,1,17,1,11,1,17,2,11,1,17,3,11,1,17,42,11,1,28,1,6,1,30,3,6,1,7,1,13,1,6,1,30,3,6,3,29,1,30,7,6,2,30,2,6,1,13,1,6,3,29,1,9,1,17,8,16,1,17,12,10,1,17,1,12,1,17,1,10,1,9,1,11,1,8,1,9,1,13,2,24,2,9,3,13,1,24,1,13,1,8,1,13,2,24,1,7,1,13,2,8,1,13,2,24,1,8,1,13,4,8,1,13,3,8,1,10,1,24,2,9,1,8,2,24,1,8,1,9,1,12,1,24,1,9,1,13,2,30,2,28,1,30,4,28,3,30,1,28,4,30,1,6,2,29,1,28,2,6,1,30,1,28,1,30,1,28,2,30,3,6,1,30,2,28,2,30,2,28,2,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,2,28,3,9,1,30,1,28,1,30,2,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,3,28,1,30,1,6,1,30,1,28,1,30,3,28,1,29,1,30,1,28,2,30,1,28,2,6,1,30,2,28,1,30,5,28,2,30,2,28,4,30,5,28,8,30,1,28,2,30,1,28,5,30,1,28,5,30,1,28,1,30,2,28,6,30,3,28,1,30,2,29,1,30,1,29,1,28,1,29,2,30,1,6,1,28,1,6,1,28,2,30,1,28,1,29,1,6,1,11,1,6,1,13,1,6,1,30,2,28,1,30,3,28,3,30,4,9,1,13,3,7,1,28,1,30,1,28,2,30,4,28,1,30,3,6,1,30,3,28,1,30,1,28,1,30,2,6,1,28,2,6,1,30,1,6,1,30,1,28,1,30,2,29,1,30,1,28,1,6,1,28,1,6,1,30,1,6,1,28,1,30,1,13,1,30,1,6,1,28,5,30,1,28,1,30,4,28,3,30,1,6,1,29,1,28,1,6,1,28,1,30,6,28,1,30,1,28,1,30,1,28,3,6,1,29,1,28,2,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,3,28,3,6,1,28,1,6,2,28,2,30,1,28,5,6,1,28,4,30,2,28,3,29,1,30,1,6,1,28,1,30,1,28,3,30,2,28,1,30,1,28,2,30,5,28,5,30,1,28,6,30,1,28,13,6,1,30,1,28,3,30,1,28,8,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,5,30,2,28,2,6,1,28,2,30,2,28,2,6,1,28,1,30,3,28,1,30,1,28,2,6,1,13,1,6,2,13,1,9,1,13,3,29,1,30,1,29,1,13,1,6,2,28,1,30,1,6,2,30,1,28,4,30,1,6,1,30,1,28,8,30,1,28,1,30,1,28,2,6,1,30,1,29,1,30,1,28,1,30,1,29,1,13,1,6,1,28,2,6,2,28,2,30,1,28,2,30,2,28,2,30,1,28,3,30,2,28,3,6,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,6,2,28,8,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,2,9,1,30,1,29,1,17,2,24,1,8,1,24,2,8,1,24,3,8,1,25,1,26,1,25,2,24,1,9,1,17,2,11,1,13,1,11,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,8,2,13,1,9,1,11,1,9,3,17,1,9,1,11,1,9,1,10,1,9,1,8,2,13,1,8,1,9,2,13,1,9,1,8,2,9,1,11,1,8,1,11,1,8,1,9,1,8,1,9,1,13,3,6,1,13,3,24,1,10,1,26,1,30,1,28,1,29,1,28,2,30,1,29,1,28,5,30,1,28,7,30,1,28,7,11,1,6,1,30,3,28,1,30,3,13,1,30,1,28,2,30,3,28,1,30,5,7,1,30,1,28,1,30,3,6,1,29,1,30,3,6,1,30,1,28,1,30,2,13,1,30,3,6,1,30,1,6,2,7,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,7,1,6,1,8,1,6,3,7,1,8,1,6,1,7,1,6,1,30,1,29,1,6,1,13,1,6,2,7,1,13,12,9,1,13,2,8,1,10,1,12,1,17,3,11,1,8,3,9,2,8,1,9,1,13,1,30,1,28,19,30,2,6,1,29,1,6,2,13,4,6,1,13,2,6,2,13,1,6,2,30,1,6,1,13,1,28,1,7,1,6,2,30,2,13,1,29,1,7,1,28,1,6,2,29,1,13,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,1,28,1,30,1,6,1,28,1,30,1,6,1,30,1,6,7,7,2,30,1,7,2,6,1,13,4,8,1,7,1,13,1,6,1,28,1,30,1,28,1,29,1,30,1,29,1,30,4,28,1,30,1,28,1,6,2,30,1,6,5,30,1,6,1,7,1,13,1,29,1,30,1,6,1,7,1,6,2,13,4,6,1,7,1,6,1,7,1,13,2,8,1,7,1,13,2,8,2,13,3,11,1,9,1,8,1,9,1,7,1,13,1,8,1,13,3,8,2,10,1,8,1,9,1,13,2,9,1,8,2,9,2,8,1,9,1,13,1,12,1,8,1,11,1,9,1,11,3,17,1,12,1,11,1,17,2,9,1,16,2,10,1,11,1,17,7,12,1,17,2,12,1,17,9,12,1,17,2,12,1,17,1,16,1,17,2,11,1,17,1,16,2,17,14,11,1,17,6,12,1,16,1,17,1,16,1,11,2,17,2,11,1,17,2,11,1,12,1,17,2,11,2,17,1,16,1,17,1,16,1,17,3,11,1,17,41,16,1,17,7,16,1,17,2,16,1,17,1,11,1,17,7,9,1,11,1,9,2,10,1,8,2,9,1,8,2,13,1,9,1,13,2,9,1,13,1,8,1,9,1,6,1,9,1,13,3,10,1,8,1,13,1,7,1,8,1,7,1,13,7,6,1,13,1,6,3,13,2,6,1,9,1,17,1,16,2,8,1,13,2,6,1,13,1,6,1,7,1,6,2,7,1,6,1,13,3,7,2,13,2,8,1,7,1,13,3,6,2,7,1,6,1,7,1,29,1,6,1,13,1,6,1,29,1,13,9,6,1,30,1,13,1,7,1,6,1,13,1,6,4,13,1,6,1,13,1,7,1,13,1,6,1,7,1,13,4,7,1,13,1,7,1,13,1,6,1,13,1,6,3,30,1,29,1,6,9,7,1,30,1,6,1,7,1,6,3,29,1,6,1,29,1,7,1,13,1,6,1,13,1,6,1,30,1,6,2,7,1,13,1,6,1,29,1,6,1,30,3,6,1,30,7,28,1,30,2,6,1,30,1,28,1,30,1,28,1,29,1,6,3,30,1,6,1,29,1,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,3,30,3,28,1,6,1,30,1,28,2,30,1,28,6,30,1,6,1,28,3,30,1,28,4,30,2,28,7,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,16,9,1,17,2,8,1,13,2,8,1,13,1,30,1,7,1,6,2,28,13,7,2,9,1,10,1,16,1,11,1,12,1,6,1,28,3,30,1,28,1,30,1,29,1,9,1,8,1,6,1,28,42,29,1,13,1,6,1,28,3,9,1,17,1,12,1,8,1,30,1,28,2,30,1,6,2,13,1,30,1,9,1,16,1,17,1,9,1,28,5,30,1,6,2,28,8,}, {28,2,30,1,9,1,15,1,28,46,30,1,28,6,6,1,9,1,17,1,11,1,8,1,13,1,6,1,29,1,6,1,30,1,13,1,11,1,24,1,29,1,7,1,8,2,16,1,11,1,16,1,11,1,17,2,16,2,8,1,9,1,30,1,28,1,30,1,28,3,30,1,24,3,6,1,29,3,6,1,9,1,17,3,16,1,17,2,9,2,8,2,9,2,11,1,17,3,8,1,7,1,6,1,13,1,30,1,29,1,13,2,28,37,29,1,13,1,9,1,11,1,17,1,9,1,30,1,28,3,29,2,30,1,17,5,16,1,17,2,11,1,8,1,9,1,13,1,8,1,7,1,6,1,29,1,30,1,6,1,7,1,6,1,29,1,6,1,24,1,13,2,8,1,9,1,12,1,16,2,17,2,13,1,28,16,13,1,17,4,9,1,11,1,16,1,8,3,9,3,13,1,6,3,30,3,6,1,30,1,6,1,29,1,30,1,6,7,13,3,8,1,13,1,8,1,24,1,10,1,9,2,12,1,17,2,12,1,17,24,11,1,17,1,10,1,11,1,17,2,12,1,11,1,12,1,11,1,9,1,11,1,8,1,13,1,9,1,29,1,13,5,6,2,13,1,6,5,30,1,6,1,30,1,6,1,30,1,6,4,13,1,29,1,7,1,6,2,7,1,6,2,13,1,6,1,7,1,6,10,30,1,6,3,13,3,7,1,6,2,7,1,13,1,30,1,7,1,13,2,7,1,13,3,8,1,9,1,11,1,9,1,17,1,11,3,17,12,16,1,11,2,17,3,16,1,17,3,16,2,17,2,11,1,17,9,16,1,17,6,16,1,17,2,16,1,17,5,16,1,17,7,16,1,17,3,16,1,11,1,17,22,12,1,17,2,12,1,17,5,11,1,17,1,10,1,11,1,12,2,17,2,11,1,17,1,11,1,12,1,9,1,11,1,17,1,12,1,11,2,17,1,11,1,10,1,17,1,12,1,17,1,11,1,17,3,12,1,17,23,12,2,11,1,10,2,12,3,10,1,11,3,12,1,11,1,12,1,17,1,9,1,17,1,11,1,9,2,10,1,9,1,11,1,12,1,17,61,12,2,9,1,8,1,9,6,8,1,24,2,9,1,8,1,13,1,24,2,13,1,9,1,8,1,13,2,6,1,13,1,6,1,7,1,6,1,7,2,6,1,7,2,6,1,7,3,6,2,30,1,28,1,7,1,13,1,8,1,13,1,8,2,9,1,11,1,12,1,10,1,17,1,9,1,10,2,11,1,9,1,11,1,9,1,11,1,9,2,12,1,9,1,10,2,9,2,10,1,9,1,11,1,8,1,9,1,10,1,9,1,13,1,8,1,9,1,8,1,9,3,8,2,7,1,13,2,8,1,13,1,24,1,13,4,8,1,13,1,9,1,7,2,13,1,7,1,24,1,13,1,8,2,13,1,8,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,8,2,9,1,13,4,8,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,9,2,13,1,8,1,9,3,8,1,10,1,9,2,12,1,10,1,8,1,10,2,17,1,11,1,12,1,17,1,12,2,17,1,9,1,11,1,9,1,11,2,12,1,11,1,12,1,11,1,17,2,12,1,11,2,12,2,17,3,11,1,17,5,11,1,12,1,17,44,13,1,30,1,28,1,30,1,6,1,13,3,30,1,29,1,6,1,30,2,29,3,30,5,28,1,30,2,28,1,30,1,28,1,6,2,30,2,6,2,11,1,17,21,12,1,17,1,10,1,11,1,9,2,8,3,24,1,9,1,24,2,8,1,24,3,8,1,24,1,9,1,13,1,7,1,24,1,8,1,7,1,13,1,8,1,6,1,13,2,24,1,7,1,8,1,13,2,7,1,24,1,8,4,24,1,9,1,8,1,9,1,10,1,24,1,12,1,9,1,10,2,9,1,13,2,30,1,28,1,30,2,6,1,30,1,28,6,30,2,28,2,6,2,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,5,28,2,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,3,13,1,6,3,30,2,28,4,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,2,30,4,28,1,30,1,28,2,30,6,28,1,30,2,28,3,30,1,28,1,30,1,28,7,30,2,28,8,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,2,30,5,28,1,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,30,2,29,1,13,2,9,1,13,1,6,1,30,1,28,5,30,1,28,2,30,2,6,1,13,2,7,1,13,1,6,2,30,2,28,2,30,1,28,1,6,1,30,1,6,1,30,1,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,2,29,1,30,1,6,1,30,2,6,1,30,1,28,1,30,1,28,4,6,1,28,1,30,2,28,1,6,2,28,3,30,2,28,6,30,2,28,2,30,1,28,1,30,3,28,1,30,3,28,1,30,1,28,9,30,1,6,1,28,1,30,1,28,4,30,4,28,1,30,1,28,2,30,1,28,7,30,2,28,1,30,1,6,1,30,3,28,3,30,2,28,1,6,1,13,1,28,6,30,2,29,1,30,2,28,3,30,1,28,1,30,2,28,1,30,6,28,1,30,2,28,4,30,1,28,2,30,1,28,6,30,2,28,5,30,1,28,6,30,1,28,5,30,2,28,2,30,1,28,1,30,3,28,3,30,2,28,6,30,2,28,2,30,1,28,2,30,3,28,1,30,1,28,2,30,3,28,3,30,2,28,1,30,1,28,1,30,3,28,1,29,1,30,1,13,2,28,1,30,1,29,1,30,1,29,1,30,2,6,2,28,1,30,1,28,2,30,1,28,1,30,2,29,1,28,1,30,1,28,2,30,1,28,3,6,1,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,2,6,1,28,1,6,3,13,1,28,1,30,2,28,2,30,1,28,2,30,1,28,5,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,7,30,2,28,1,30,1,28,3,30,2,28,3,30,1,28,2,30,1,28,2,6,1,30,4,28,5,30,2,6,2,28,1,30,1,6,1,30,1,7,1,13,1,12,1,11,1,8,1,24,1,10,1,13,1,24,2,8,1,24,1,27,1,26,2,25,1,13,1,12,1,9,1,11,1,8,1,9,2,11,1,9,1,13,1,9,1,8,2,13,1,9,3,8,2,11,1,13,1,9,1,11,3,9,2,10,1,13,1,9,2,8,1,9,1,13,1,9,5,13,1,11,1,9,2,8,1,9,1,13,1,9,1,13,3,29,1,7,1,24,4,26,1,28,1,29,2,28,1,30,2,28,9,30,2,28,1,29,1,28,9,9,1,6,1,30,2,29,1,28,1,30,1,29,1,6,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,2,6,1,30,2,6,1,28,1,30,7,13,1,6,2,28,1,6,2,29,1,6,2,7,1,13,1,6,1,13,1,6,1,7,1,13,5,6,1,13,1,6,2,13,3,6,3,7,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,13,2,8,1,13,10,8,1,6,1,13,1,8,1,12,1,11,2,17,2,11,1,12,1,9,2,13,1,9,2,13,2,30,1,28,7,30,1,28,7,6,1,30,1,28,1,30,5,6,2,13,1,9,1,13,1,7,1,8,1,13,3,6,3,29,1,6,2,30,1,29,1,6,2,29,1,6,3,30,1,7,1,30,1,13,1,29,1,6,7,30,1,6,4,28,1,30,1,28,1,29,1,30,1,6,4,29,1,6,1,13,1,6,1,30,1,29,1,6,1,13,1,7,1,6,1,13,7,6,1,7,1,28,1,30,1,6,1,30,1,29,1,30,3,6,1,30,2,6,1,30,2,6,2,30,1,6,1,7,1,30,1,6,2,30,1,28,1,30,1,6,2,30,1,13,1,6,1,13,1,6,2,8,1,7,1,13,7,7,1,13,1,8,1,13,1,8,2,13,1,16,1,9,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,8,1,13,3,9,1,13,1,9,3,8,2,13,1,11,1,9,3,8,1,12,1,17,4,12,1,11,1,17,1,12,1,17,1,9,1,17,1,11,1,12,1,17,23,16,1,17,27,11,1,17,1,11,1,17,1,11,1,12,1,17,8,12,1,17,3,16,1,17,1,16,1,17,56,16,2,17,1,11,2,16,1,17,5,10,2,9,2,8,1,9,2,8,2,10,1,8,2,13,1,8,1,13,1,9,2,13,1,8,2,13,2,8,1,9,1,13,4,7,1,13,1,7,1,8,1,13,1,8,1,13,2,7,1,13,1,6,1,13,2,6,1,13,1,9,2,17,1,16,1,17,1,9,1,13,1,9,1,6,1,8,1,6,2,13,1,6,2,13,1,29,1,7,1,13,1,8,1,13,3,7,1,13,1,6,1,13,5,6,2,13,2,6,2,13,1,6,1,29,1,6,2,13,2,6,1,13,4,6,1,7,1,6,1,13,2,6,1,7,1,6,2,13,1,7,1,13,1,6,1,8,1,6,1,8,1,6,1,8,1,6,1,8,1,7,1,13,1,7,2,6,1,30,1,6,1,29,1,7,1,6,2,30,1,6,1,29,2,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,29,1,6,2,13,1,6,1,13,1,30,1,13,3,6,4,30,8,6,1,28,5,30,1,28,1,30,1,28,1,30,1,7,1,13,1,30,5,28,2,30,6,28,1,30,1,28,1,30,3,28,1,6,1,28,1,30,2,28,1,30,3,28,1,30,1,28,5,30,5,28,7,30,1,28,4,30,1,28,2,30,3,28,1,30,2,28,3,6,1,28,16,13,1,17,2,11,1,8,1,13,1,6,1,8,1,6,2,30,2,28,12,7,1,28,1,13,3,24,1,12,1,11,1,6,1,28,2,30,2,29,1,30,1,29,1,12,2,30,1,28,42,6,1,8,1,6,1,28,3,11,1,17,2,9,1,30,1,28,1,7,1,29,1,30,1,7,1,13,1,6,1,9,1,10,1,17,1,10,1,28,5,30,1,28,1,29,1,28,8,}, {28,1,30,2,12,1,15,1,30,1,28,46,30,1,28,5,6,1,8,1,12,1,9,1,13,1,7,1,13,1,30,1,28,1,30,1,13,1,17,1,11,1,6,1,13,2,8,1,17,2,11,1,16,1,17,1,11,1,16,1,17,1,9,1,8,1,28,5,30,1,28,1,13,1,12,1,9,1,30,1,28,1,29,1,6,2,7,1,11,1,17,4,9,2,8,2,9,1,13,1,9,2,17,3,10,1,13,1,6,1,13,1,30,1,6,1,30,1,7,1,28,37,30,1,13,1,9,2,16,1,13,1,30,5,29,1,6,1,17,5,16,1,17,1,16,2,9,1,8,1,9,1,13,1,7,1,29,1,13,1,29,1,28,1,30,1,6,1,13,3,8,1,13,2,8,1,11,1,17,1,16,1,17,2,13,1,28,16,6,1,9,1,11,1,9,1,8,1,9,1,13,1,8,1,13,2,7,1,13,2,8,1,13,1,6,3,30,1,6,1,30,1,28,1,29,3,6,1,30,1,6,2,7,1,6,3,29,1,7,1,13,1,7,1,13,1,8,2,13,1,9,3,11,1,10,1,12,1,17,11,11,1,17,14,12,1,17,2,12,1,11,4,16,1,9,1,8,1,7,1,13,6,6,3,30,1,29,1,6,3,13,1,6,6,29,1,6,1,29,2,6,1,29,1,6,6,13,1,6,7,29,1,6,3,29,1,13,1,6,3,13,2,7,1,6,1,29,1,6,1,13,1,6,1,13,1,6,2,13,3,8,1,13,2,8,2,16,3,17,21,16,1,17,2,11,1,17,2,11,1,17,2,16,1,17,5,16,1,17,2,16,1,17,7,16,1,17,3,16,1,17,8,16,1,17,5,10,1,17,24,12,2,11,1,12,1,9,1,10,1,11,2,17,1,12,1,11,1,12,1,17,1,11,1,12,2,11,1,12,1,11,1,12,1,11,1,12,1,17,1,11,2,12,1,9,1,12,1,17,1,11,1,17,1,9,1,17,1,12,1,17,24,12,1,17,2,11,2,12,1,11,4,17,1,11,1,17,2,11,2,17,1,12,1,10,1,17,1,11,1,10,1,9,1,11,1,17,2,12,1,17,1,11,1,17,59,12,1,10,1,17,1,10,2,9,2,10,1,11,1,10,1,9,1,10,2,9,1,13,2,8,2,9,1,13,3,7,1,13,3,7,5,13,1,6,3,7,1,13,3,7,1,13,3,8,1,10,1,11,1,12,1,17,1,9,1,12,3,10,1,11,2,10,1,17,1,11,2,10,2,11,2,9,1,12,1,9,1,12,1,9,3,8,1,9,2,11,1,9,2,10,1,9,1,8,3,13,1,8,1,13,4,24,1,8,1,6,1,13,1,8,3,13,2,7,1,13,3,8,1,13,1,8,1,13,1,7,1,13,5,6,1,24,1,8,2,9,1,24,2,9,3,13,1,8,1,9,1,8,2,9,1,8,3,24,1,8,1,9,3,8,2,9,1,8,1,17,1,9,1,12,1,9,1,10,4,12,1,17,1,9,1,12,1,17,1,11,1,17,1,10,1,11,1,12,1,11,1,17,2,9,1,17,5,10,1,17,1,11,3,17,2,12,1,11,1,12,2,11,1,17,3,11,1,17,44,6,1,29,1,30,1,6,1,13,2,6,1,30,2,6,1,30,4,29,1,30,1,28,1,30,2,28,1,30,5,28,1,30,1,6,1,28,1,30,1,28,1,13,1,11,1,17,20,11,1,17,1,12,1,9,4,13,1,24,1,9,1,8,2,24,2,9,2,24,1,8,2,13,1,8,1,13,2,24,1,13,1,8,1,7,1,13,1,8,1,13,1,8,1,9,1,13,1,24,1,13,1,8,2,24,1,13,1,8,2,24,1,13,1,24,1,8,1,24,1,9,2,24,1,9,1,11,1,9,3,8,1,30,2,28,1,30,2,6,1,30,1,28,5,30,1,28,1,6,1,28,1,6,1,29,1,6,1,30,1,28,2,30,4,28,1,30,2,28,1,30,2,28,2,30,2,28,8,30,1,28,2,30,2,28,4,30,1,28,7,6,2,7,1,6,1,30,1,29,1,28,4,30,1,28,2,30,1,28,2,30,1,28,7,30,2,28,3,30,2,6,2,30,7,28,1,30,1,28,5,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,9,30,1,28,1,30,2,28,6,30,3,28,2,30,1,28,5,30,1,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,2,6,1,7,1,30,1,13,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,13,3,7,1,6,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,28,1,30,2,28,2,30,2,28,1,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,29,1,6,1,7,1,6,1,30,1,28,1,30,1,28,12,30,10,28,1,30,1,28,2,29,1,30,2,28,3,30,1,13,1,28,1,30,2,28,4,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,3,6,4,30,1,6,1,30,2,28,6,29,1,28,1,30,1,6,1,30,4,28,1,30,1,28,8,30,1,28,5,30,1,28,9,30,1,28,1,30,1,6,1,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,5,28,5,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,2,28,2,30,1,28,2,7,1,30,1,28,1,6,1,30,1,29,1,28,1,29,1,6,1,28,2,30,1,28,2,6,1,28,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,1,30,1,6,1,30,2,28,7,30,1,8,1,13,1,28,2,30,1,28,4,30,1,28,1,30,3,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,18,30,1,28,1,30,1,28,4,30,2,28,3,6,3,30,2,28,1,29,2,7,1,8,1,10,1,12,1,9,1,12,1,8,4,24,1,26,2,25,1,27,1,25,1,13,1,11,1,12,1,9,2,11,1,9,2,13,2,8,1,13,3,8,2,11,1,13,1,9,5,12,1,11,1,10,1,9,2,12,1,9,1,8,2,13,1,9,2,10,1,11,1,9,1,8,1,9,1,8,1,10,1,9,2,13,2,10,1,13,3,6,1,13,1,8,1,24,2,13,1,6,1,29,1,30,1,29,1,28,2,29,1,30,1,28,2,29,1,28,5,29,1,28,12,30,1,8,1,7,1,30,3,6,2,28,7,30,2,28,1,30,2,28,3,30,3,6,1,30,4,28,1,30,2,6,1,30,2,13,1,30,1,6,1,30,1,29,1,6,7,7,1,6,2,7,1,13,1,7,1,6,1,13,1,6,1,7,1,13,2,7,1,13,1,7,1,13,1,6,4,30,1,6,5,7,1,6,1,13,1,8,1,13,6,8,1,6,1,13,2,8,2,13,2,12,2,17,4,11,1,9,1,13,1,9,1,11,1,8,1,13,1,9,1,30,1,28,15,30,1,28,3,30,3,6,1,28,1,7,1,6,1,13,1,7,1,8,1,13,1,6,1,13,2,6,4,30,1,13,1,30,1,13,1,7,1,30,1,29,1,6,2,30,1,7,2,6,1,13,1,30,1,6,3,29,1,7,1,30,1,7,1,6,4,30,2,6,2,30,3,13,1,30,2,6,2,30,1,6,1,7,1,30,1,13,1,7,3,6,1,13,1,6,1,13,1,9,1,13,1,28,1,30,1,7,1,30,2,28,1,30,3,29,1,6,1,29,1,30,1,6,1,30,2,7,1,6,1,30,2,6,6,8,1,6,2,13,1,30,2,6,1,13,1,7,1,13,1,7,1,6,1,13,3,8,1,13,3,8,1,13,1,8,1,7,1,13,2,8,1,11,1,9,1,8,1,9,2,8,1,13,1,9,1,8,1,13,1,9,2,13,1,8,1,11,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,13,1,11,1,9,3,17,5,11,1,17,1,12,1,17,1,9,1,17,1,12,2,11,1,17,1,12,1,17,20,12,1,17,26,16,1,17,2,16,1,17,7,16,1,17,1,16,1,17,2,11,1,17,4,16,2,17,23,11,1,17,27,16,1,17,7,10,1,16,1,17,6,9,1,16,1,9,1,8,1,10,1,13,1,8,3,13,1,6,1,8,1,13,1,8,2,13,1,9,1,13,1,8,3,10,1,8,1,13,2,6,1,13,5,6,1,13,1,30,1,13,2,7,1,13,1,7,1,13,2,7,1,13,3,16,1,17,1,16,1,17,2,13,2,7,1,8,2,13,1,6,5,13,3,9,1,13,1,9,1,8,1,13,2,8,2,6,1,13,2,7,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,7,8,1,6,2,7,2,13,1,6,2,13,7,6,1,13,2,9,1,6,1,13,4,7,1,6,2,30,2,6,1,30,1,7,1,29,1,6,2,30,1,6,10,30,1,6,3,29,1,13,1,6,1,13,3,7,1,6,2,30,1,6,1,7,1,29,1,30,2,6,1,30,2,28,1,30,3,28,1,30,3,28,1,30,1,6,1,30,1,6,2,29,1,28,3,30,1,28,2,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,3,28,3,30,2,28,2,30,1,28,3,6,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,29,1,28,1,30,3,28,1,30,3,7,1,28,16,10,1,17,2,9,1,8,2,13,1,7,2,28,1,29,1,28,10,29,1,30,1,29,1,6,2,13,1,9,1,8,1,9,1,11,1,17,1,30,1,28,3,30,2,28,1,6,1,9,1,12,1,30,2,28,41,6,1,7,1,28,4,17,2,16,1,8,1,30,2,28,1,6,3,28,1,13,1,8,1,11,1,17,1,13,1,28,16,}, {30,2,28,1,13,1,17,1,29,1,28,52,7,1,9,1,11,1,17,1,13,1,8,1,7,1,30,3,7,1,9,1,13,1,8,1,6,1,13,1,9,1,11,1,16,1,17,3,16,1,11,1,16,1,11,1,8,1,6,1,28,4,30,1,28,1,9,1,24,1,8,1,6,1,30,1,6,1,30,2,13,1,17,3,16,3,9,2,8,1,9,1,10,1,12,1,16,1,12,1,17,2,8,1,13,2,7,1,29,3,13,1,28,38,13,1,8,1,9,1,11,2,28,4,30,1,28,1,6,1,9,1,17,7,11,1,8,1,9,3,30,1,6,3,28,1,30,1,28,1,29,1,7,1,9,1,8,1,13,3,11,1,17,4,13,1,28,16,30,1,6,1,13,3,8,1,13,1,6,1,13,3,7,1,29,1,13,2,6,1,28,1,29,1,30,4,6,1,30,1,29,1,30,2,6,5,7,3,13,1,7,2,13,5,8,1,10,2,11,1,12,2,17,16,16,1,17,1,12,1,11,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,11,1,17,1,11,1,16,1,11,1,9,1,11,1,13,1,6,3,13,3,6,2,29,1,6,2,30,1,6,4,13,1,6,6,7,1,29,1,6,2,7,1,6,1,7,1,29,1,6,1,13,1,6,4,29,1,6,2,29,1,30,1,6,1,29,1,6,1,29,1,7,1,6,4,7,1,6,1,13,1,6,2,30,1,6,1,7,1,6,2,13,4,9,2,11,1,16,1,11,1,17,1,11,1,17,26,16,3,11,1,17,18,16,1,17,1,16,1,17,15,10,1,17,26,12,1,17,3,11,1,12,1,10,1,12,1,17,1,12,1,10,1,17,2,9,1,17,2,11,1,17,3,12,1,17,1,10,1,17,1,10,1,12,2,17,27,12,1,16,1,9,2,11,2,9,1,12,2,17,1,10,1,17,2,11,2,16,1,10,1,17,2,11,1,9,1,11,3,10,2,17,2,10,1,17,1,12,1,17,4,12,1,17,36,12,1,17,7,10,1,11,1,12,1,17,1,12,2,17,9,10,2,9,1,12,1,11,1,17,1,12,1,10,1,9,3,13,1,8,1,13,1,8,1,13,2,8,1,7,1,13,1,7,1,13,5,8,1,6,2,13,1,7,1,6,1,7,1,13,1,8,2,13,2,12,1,10,1,17,1,10,1,12,1,11,1,9,1,17,1,12,3,11,1,12,1,11,2,12,1,9,4,24,1,8,1,9,1,11,1,9,1,8,1,9,4,11,1,8,1,10,1,8,3,24,1,13,1,8,1,9,1,8,1,7,1,8,1,13,1,8,2,13,1,8,1,13,1,7,1,13,2,24,1,6,1,13,1,9,1,8,1,13,2,8,1,6,1,7,1,24,1,6,2,8,1,7,2,13,2,8,1,24,1,8,3,13,1,8,1,13,1,8,2,9,1,13,2,8,2,13,1,9,1,8,3,11,1,9,1,11,1,9,1,10,1,9,1,10,1,9,1,11,1,12,1,9,1,11,2,10,1,11,1,12,2,10,1,12,1,11,1,17,2,12,2,11,1,9,1,12,1,9,1,17,2,12,2,17,1,10,1,17,2,11,2,17,3,12,1,17,4,12,1,17,1,12,1,17,1,12,1,17,3,11,1,17,28,12,1,17,8,13,1,30,2,6,1,13,1,7,1,6,1,30,4,29,1,30,4,28,1,30,1,28,2,30,1,28,3,30,3,28,2,30,2,9,1,16,1,17,21,10,1,9,1,11,1,10,1,9,1,11,1,24,1,8,1,13,1,8,2,9,1,8,1,9,1,24,1,8,4,24,1,13,1,24,1,8,1,13,3,8,1,13,3,8,1,10,1,24,1,8,1,13,1,6,1,13,2,9,1,13,1,8,1,13,1,8,2,13,1,10,1,24,2,9,1,24,1,11,1,9,2,8,1,6,1,28,1,30,2,13,1,29,1,30,1,28,3,30,1,28,4,30,1,28,1,30,2,6,1,28,5,30,3,28,1,30,3,28,2,30,1,28,2,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,6,28,2,30,1,28,3,9,1,6,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,3,29,1,30,1,28,2,30,2,28,3,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,4,30,1,28,2,30,3,28,5,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,14,30,2,28,2,30,1,28,1,30,8,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,2,6,2,13,3,30,5,28,1,30,1,28,1,6,1,28,1,6,2,13,2,6,2,29,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,28,5,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,4,6,1,29,1,28,1,30,1,28,1,30,1,28,1,30,3,28,2,30,2,6,1,29,1,30,3,28,8,30,1,28,3,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,8,1,13,1,28,1,30,2,28,2,6,1,28,1,30,2,28,1,30,3,28,2,30,2,28,2,30,1,28,2,30,4,28,1,30,2,28,1,30,1,28,4,6,1,28,4,13,2,28,1,6,2,28,4,30,4,28,2,29,1,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,6,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,4,6,1,30,1,28,1,6,1,28,4,30,2,28,6,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,8,6,1,28,7,30,1,28,1,30,2,28,1,29,1,28,1,6,1,28,2,29,1,30,1,28,1,30,1,28,1,6,1,30,2,28,2,30,1,28,2,30,2,6,1,29,1,7,1,13,1,28,8,30,2,28,2,30,1,28,4,30,1,6,1,28,2,30,1,28,3,30,1,28,14,30,2,28,1,30,2,28,4,29,1,28,1,30,1,28,4,30,5,28,1,30,4,7,1,9,1,11,1,9,1,10,2,24,1,8,2,24,1,8,1,25,1,26,2,27,1,8,2,11,1,9,1,17,2,9,3,10,1,9,1,11,1,13,2,10,1,9,1,8,1,9,2,11,1,9,1,11,1,9,1,11,1,10,1,8,1,9,1,11,1,8,1,10,1,9,2,8,1,9,2,13,1,9,4,13,1,11,1,8,1,9,3,8,1,9,1,8,1,13,1,29,1,6,1,7,1,13,1,10,2,13,1,6,1,28,1,29,1,28,1,30,1,28,2,29,1,28,7,30,3,28,5,30,1,28,6,9,1,6,1,30,1,6,2,30,1,28,7,30,1,28,2,6,1,28,3,30,1,28,2,30,3,6,3,30,1,6,1,30,2,6,1,28,1,13,1,6,1,30,5,13,1,6,1,7,1,6,2,30,1,13,2,6,1,13,2,7,1,13,1,30,1,13,3,30,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,2,30,1,13,1,6,1,7,2,13,1,7,1,13,3,8,1,13,1,7,1,8,1,13,1,8,2,13,1,8,1,13,2,9,1,17,5,10,1,11,1,9,2,13,1,9,1,13,2,6,1,28,15,30,1,28,4,6,1,30,1,7,1,6,1,13,1,6,1,13,2,6,1,13,1,8,1,13,1,7,1,13,1,30,1,7,1,6,3,30,1,13,1,29,1,6,2,30,1,6,3,30,1,6,1,30,1,29,1,7,1,6,7,29,1,30,1,6,1,29,1,6,1,30,2,29,1,6,1,30,1,29,1,6,2,30,1,6,1,13,1,7,1,30,1,6,2,7,1,6,1,13,1,7,1,13,5,29,1,7,1,6,1,30,2,28,1,6,1,30,1,6,1,30,1,6,1,29,1,28,1,6,2,30,4,6,1,30,1,6,4,28,1,6,3,30,1,6,1,13,1,6,2,7,2,13,2,7,1,13,1,7,1,13,3,9,1,13,1,8,1,13,1,8,1,13,3,10,2,8,1,9,1,8,1,13,2,8,1,13,5,8,2,7,1,9,1,13,1,8,1,9,1,8,4,9,1,8,1,11,1,12,1,11,1,17,1,16,1,17,5,11,1,17,2,12,3,17,3,10,1,17,4,11,1,17,1,10,1,12,1,16,1,12,1,11,1,17,2,11,1,17,1,16,1,17,31,16,1,11,1,17,6,16,1,12,1,17,17,16,1,17,10,11,3,9,1,11,1,10,1,9,1,16,1,17,1,10,1,17,2,16,1,11,1,17,27,16,1,17,1,16,1,17,6,16,1,9,1,11,1,8,1,11,1,8,1,16,1,8,1,9,3,8,1,13,1,8,1,9,1,8,4,13,1,9,1,13,1,8,1,13,1,8,1,9,2,8,1,13,6,7,1,13,3,6,1,7,1,13,2,6,1,13,1,6,1,13,1,11,2,17,2,9,1,8,1,9,1,13,1,8,2,6,2,13,1,6,3,13,2,29,1,13,2,6,2,13,1,8,1,13,2,8,2,13,2,8,1,13,4,6,1,8,1,13,3,7,1,13,1,11,1,9,1,8,2,10,1,13,1,8,1,9,1,13,1,6,1,13,4,6,1,13,1,6,1,13,2,7,1,6,1,29,1,30,1,13,1,7,2,30,1,6,1,7,1,13,1,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,2,6,2,30,3,6,1,30,1,13,2,6,4,13,2,8,1,28,1,6,2,30,1,13,1,28,1,6,6,30,2,28,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,3,6,4,28,1,30,2,28,1,30,1,28,3,30,2,6,2,30,1,6,1,28,1,30,1,28,5,30,1,28,2,30,2,28,2,30,1,28,7,30,1,28,5,30,1,28,6,30,1,28,5,30,1,28,1,30,2,6,1,30,1,28,2,30,4,28,16,9,1,17,1,16,1,9,1,13,2,7,1,6,1,30,1,6,1,28,1,30,1,28,10,29,3,13,1,6,1,8,2,9,1,8,1,16,1,28,6,30,1,6,1,9,1,7,1,6,1,28,1,30,1,28,40,30,1,7,1,30,1,28,3,17,3,6,1,13,1,28,1,29,1,28,1,13,1,30,1,6,1,13,1,9,1,17,2,29,1,28,5,29,1,30,2,28,8,}, {28,3,6,1,17,1,13,1,28,52,29,1,8,1,12,2,9,1,8,1,6,1,30,1,28,1,7,1,6,1,16,1,15,1,10,1,8,1,13,2,12,1,17,1,11,1,17,1,16,3,9,1,16,1,8,1,6,1,28,6,13,1,17,1,8,2,30,1,29,1,6,2,13,1,17,3,9,1,16,1,10,1,9,2,8,1,9,1,13,1,9,2,10,1,17,2,9,1,7,2,6,1,28,1,29,1,13,2,28,36,30,1,28,1,7,1,8,2,12,1,9,1,30,2,28,1,30,2,28,1,6,1,12,1,17,5,11,1,17,1,9,2,13,2,7,1,6,1,30,1,28,1,7,1,28,1,29,2,6,1,13,1,24,1,13,1,8,2,6,1,9,1,11,1,17,3,13,1,28,17,13,1,6,2,29,1,30,1,6,1,7,1,13,1,6,3,29,1,13,2,29,1,28,3,30,2,28,1,30,4,29,1,30,3,6,1,29,1,6,2,30,1,7,1,13,1,6,1,7,2,13,2,8,1,13,1,8,1,9,1,10,1,9,1,11,2,17,1,11,1,17,9,12,1,17,4,12,1,17,4,12,1,11,1,12,1,17,4,12,1,17,1,11,4,17,1,9,1,7,1,6,3,7,1,30,2,29,1,30,2,6,2,29,1,30,1,7,1,6,2,29,1,6,3,29,1,13,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,7,1,6,1,7,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,29,1,13,1,6,2,30,1,7,2,13,1,6,2,13,1,6,2,7,1,13,4,9,3,11,2,17,35,16,1,17,9,16,1,17,6,16,1,11,1,17,16,9,1,17,27,12,1,11,1,17,1,11,1,17,2,9,1,17,1,12,2,17,3,12,1,17,1,12,2,17,1,12,1,17,1,11,2,17,3,12,1,17,27,12,1,11,2,9,1,11,1,12,1,10,2,17,1,11,2,12,1,9,1,17,3,11,1,12,1,17,1,12,1,11,1,12,1,10,1,13,1,17,49,12,2,11,1,17,1,10,1,11,2,12,1,17,1,12,1,10,1,17,1,11,1,10,1,17,5,12,1,17,2,12,1,17,1,10,1,12,1,11,2,17,1,10,1,9,4,10,1,13,1,8,3,13,1,8,1,13,2,8,1,13,2,8,1,7,1,13,1,7,1,13,1,7,1,13,1,8,1,13,1,8,2,9,1,10,1,11,1,9,1,11,1,12,1,11,1,10,1,11,1,12,1,10,3,9,1,12,2,17,1,12,1,10,1,9,1,11,1,12,1,8,1,17,1,10,2,11,1,9,1,11,1,10,1,9,1,10,1,11,1,8,1,9,1,13,2,8,5,13,1,6,1,9,1,7,1,8,1,13,1,7,1,13,3,8,2,7,1,13,1,8,1,13,1,8,1,13,2,7,1,13,1,7,1,8,1,29,1,13,2,8,1,13,3,8,1,13,3,8,1,13,2,24,1,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,13,1,9,1,8,2,10,1,24,1,9,2,11,2,9,1,10,1,11,3,10,1,11,1,10,2,11,3,10,2,11,1,12,1,11,1,9,1,12,1,17,2,12,1,17,1,12,1,17,3,12,1,17,4,12,1,17,3,12,1,17,4,12,1,17,4,12,1,17,2,12,1,17,8,12,1,17,19,11,1,17,5,11,1,17,2,6,3,13,1,7,1,30,2,29,1,30,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,4,28,1,30,2,28,1,30,1,6,1,17,20,12,2,11,1,9,1,11,1,9,2,24,1,8,1,9,1,8,1,10,2,8,1,24,1,8,4,9,2,13,1,8,2,9,1,7,1,13,3,6,1,13,2,7,1,13,1,8,1,24,2,13,1,8,1,9,1,13,1,8,1,13,2,8,2,24,1,8,1,10,1,9,1,12,1,11,2,9,1,10,1,11,1,8,1,6,1,30,1,29,1,30,1,6,2,28,2,30,1,28,5,30,1,28,2,30,4,6,3,30,1,6,3,28,3,30,2,28,1,30,2,28,1,30,2,28,2,30,3,28,1,30,2,28,1,30,1,28,3,30,1,28,3,30,3,28,3,9,1,13,1,28,1,30,2,28,6,30,1,28,1,30,2,28,3,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,3,28,1,30,1,28,5,30,2,29,1,30,1,28,1,30,1,28,11,30,2,28,9,30,1,28,2,30,1,28,2,30,1,28,4,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,2,7,1,6,1,13,1,8,1,13,1,30,1,28,1,30,1,28,4,29,1,6,1,28,1,6,1,29,1,16,1,13,1,6,1,28,1,30,2,28,1,30,3,28,6,30,1,28,7,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,1,30,2,28,3,30,3,28,1,30,1,6,2,29,1,30,1,28,1,30,2,28,16,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,2,13,2,28,3,30,1,28,3,30,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,6,1,9,1,6,2,30,1,28,1,29,1,30,2,6,1,28,4,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,1,29,1,28,6,30,1,28,1,30,1,28,10,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,9,30,2,28,5,30,1,28,2,30,1,28,5,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,2,30,1,28,5,30,4,29,1,30,2,28,1,30,1,28,2,6,1,29,1,30,3,28,3,30,3,28,1,30,2,28,1,30,1,28,2,30,3,28,2,30,2,28,4,30,1,28,3,6,1,28,3,6,1,8,1,28,1,29,1,30,1,6,1,30,1,28,2,30,1,28,5,30,3,28,1,30,1,28,3,30,1,28,3,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,7,6,1,28,4,30,1,28,5,30,1,28,3,6,1,30,1,28,1,30,1,28,2,30,2,6,1,13,1,11,1,9,1,12,2,9,1,24,1,8,1,24,1,8,2,29,1,25,1,27,1,26,1,24,1,8,1,10,1,9,2,8,1,11,1,10,1,9,2,8,1,11,1,9,1,13,1,9,1,11,2,8,1,11,1,9,1,11,1,9,2,11,1,9,2,8,1,9,3,8,1,9,1,8,1,9,1,8,1,13,1,8,1,9,2,11,1,9,2,17,1,13,1,9,1,8,1,9,3,13,1,7,2,13,1,8,1,12,2,8,1,27,2,30,2,28,8,30,1,28,1,29,1,30,1,28,14,8,1,13,1,6,1,29,1,6,1,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,3,30,1,28,1,30,1,28,4,6,1,30,3,6,1,30,4,13,1,30,2,29,1,28,1,29,1,28,1,13,1,30,2,6,2,7,1,6,1,7,1,13,1,7,1,30,1,7,1,13,6,9,1,13,1,6,1,7,1,13,1,30,1,6,2,7,1,30,1,13,1,6,4,7,1,6,1,7,1,13,5,6,1,13,2,8,1,13,2,7,1,13,2,8,1,10,1,17,5,12,1,9,1,11,1,10,1,9,2,8,1,13,1,6,1,28,14,30,1,28,1,30,4,29,1,6,2,7,1,13,2,8,1,13,2,7,1,13,2,6,5,29,1,6,5,30,1,13,1,30,1,6,2,29,1,13,1,29,1,30,1,7,1,6,3,7,1,6,2,30,1,6,2,29,1,6,2,30,1,6,2,29,1,6,2,30,1,6,2,30,1,13,1,30,1,6,3,13,8,30,3,6,1,28,1,30,1,7,1,28,1,30,1,6,1,30,2,6,1,30,3,28,1,30,1,6,1,30,1,6,4,7,1,29,2,7,1,6,1,13,1,30,1,6,1,13,2,7,1,13,1,7,1,13,3,8,1,6,1,7,1,8,1,13,2,6,1,13,1,9,1,13,2,9,1,11,1,12,1,8,2,13,2,8,1,13,3,7,1,9,2,13,1,9,2,8,1,10,1,13,1,9,1,13,1,8,1,9,1,8,1,9,1,11,1,9,1,17,13,12,1,16,1,11,1,17,5,11,1,12,1,8,1,9,1,10,1,9,1,11,2,9,2,11,1,16,1,17,1,11,1,17,33,16,1,17,8,11,1,17,12,11,1,17,2,11,1,17,3,11,1,17,1,11,1,9,1,16,1,9,8,11,1,9,1,10,1,16,1,9,1,11,1,9,1,11,2,10,1,17,24,16,1,17,3,16,1,17,5,9,1,16,1,11,1,13,1,8,1,11,1,8,1,9,1,13,1,8,1,9,1,13,1,9,2,13,1,8,1,9,1,8,1,13,2,8,5,13,1,8,1,7,1,13,2,7,1,13,2,8,1,13,2,6,1,13,2,6,1,13,1,7,1,13,1,6,1,13,2,16,1,17,4,9,1,13,2,9,1,13,4,8,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,8,1,13,2,29,1,13,1,8,1,6,1,13,4,6,1,8,1,13,1,8,1,13,1,6,1,8,1,13,2,9,1,11,1,10,1,17,1,10,1,9,1,11,4,9,1,10,1,9,1,16,1,13,1,9,3,13,1,9,1,16,1,11,1,9,2,8,1,9,2,13,6,6,2,9,1,6,1,7,1,13,1,6,1,7,1,13,1,6,1,13,2,6,1,13,1,30,1,6,1,13,1,30,1,6,2,13,3,6,4,13,1,6,2,29,1,6,2,13,2,6,1,30,1,6,1,30,2,29,1,30,1,28,1,30,2,28,1,6,1,29,1,30,4,28,1,30,1,28,2,6,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,30,3,6,1,30,4,29,1,28,2,30,1,28,1,30,2,28,1,6,1,30,2,28,1,30,2,28,4,30,1,28,3,30,1,28,2,30,2,28,2,30,1,28,7,30,2,28,2,30,2,28,2,30,1,6,1,28,16,17,3,13,1,8,1,30,1,29,2,28,1,30,2,28,12,6,3,29,1,8,1,13,2,11,1,17,1,28,4,30,1,8,1,13,3,7,1,6,1,28,1,30,1,28,41,13,1,28,3,30,1,16,1,17,2,13,1,6,1,28,3,7,1,29,1,6,1,7,1,9,1,17,2,30,1,28,5,6,1,7,1,28,9,}, {28,1,30,1,28,1,24,1,17,1,13,1,28,44,29,1,28,7,6,1,8,1,17,1,10,1,9,1,12,1,8,1,6,1,28,2,7,1,24,1,9,1,13,2,8,2,17,1,9,1,16,1,17,4,16,1,17,1,10,1,6,1,28,2,6,1,28,3,13,1,17,1,9,1,6,1,28,1,7,1,30,1,7,1,28,1,17,1,16,4,11,1,9,2,8,2,11,1,9,1,11,1,12,1,17,2,10,1,29,1,13,1,29,1,13,2,29,1,7,1,29,1,28,35,29,1,6,1,8,1,9,1,11,1,9,1,10,1,6,1,28,1,30,1,28,1,30,1,29,1,28,1,10,1,17,7,9,2,8,1,9,1,13,1,6,3,29,1,6,1,29,1,6,1,13,6,8,1,9,1,10,1,16,1,17,2,9,1,28,17,6,1,13,1,30,1,29,1,30,1,6,1,29,1,6,1,29,1,6,4,7,1,30,1,28,7,30,4,28,2,6,1,29,1,30,2,6,2,7,1,6,1,30,1,6,2,13,1,6,1,13,4,10,1,8,1,9,1,12,1,11,1,17,1,11,1,17,1,12,1,17,8,12,1,17,2,11,1,12,1,17,3,11,1,17,3,11,1,17,2,10,1,17,1,11,1,12,2,11,5,13,1,7,2,6,1,30,2,29,1,6,3,7,1,6,1,30,1,6,6,30,1,6,5,7,2,6,4,7,3,29,1,6,2,7,1,6,1,13,5,7,1,13,1,9,1,8,1,13,1,7,1,13,8,8,1,13,2,8,1,9,2,10,1,12,1,16,1,17,40,11,1,17,11,16,2,17,14,11,1,17,28,12,2,11,1,17,1,11,1,17,3,12,1,17,1,12,1,17,2,12,1,17,1,11,1,12,1,17,3,11,1,17,30,11,1,10,1,11,1,16,1,8,1,11,2,9,2,11,1,10,1,12,1,17,1,10,1,11,1,17,1,12,1,11,1,17,2,11,1,9,2,11,1,17,1,11,1,17,2,12,1,17,44,11,1,17,1,12,1,17,2,11,1,10,1,9,1,10,1,11,2,8,1,11,2,17,1,11,1,17,1,12,1,17,3,12,1,17,3,12,1,17,1,11,1,17,2,10,2,9,2,10,1,9,4,13,1,11,1,13,4,24,1,13,1,8,1,6,1,24,1,8,2,7,1,13,1,8,3,9,2,12,3,9,1,10,1,11,1,10,1,11,2,9,1,12,1,17,1,10,1,9,4,10,1,11,2,10,1,11,2,8,1,9,2,11,1,24,1,8,1,10,1,9,1,8,2,9,1,13,1,24,1,13,1,8,2,7,1,24,1,6,1,8,4,13,1,8,1,13,1,7,1,9,1,8,1,7,1,13,1,8,1,6,2,13,1,7,1,13,2,8,1,6,1,13,2,7,1,6,2,7,2,6,1,8,2,13,2,24,1,8,1,7,1,13,2,8,1,13,2,9,1,8,1,24,1,13,1,8,2,9,1,24,1,10,1,8,1,9,2,8,1,10,1,11,1,9,1,11,2,9,1,12,1,10,1,11,1,10,2,9,1,11,3,9,2,11,1,9,2,11,2,12,1,11,1,17,7,11,1,17,13,11,1,12,1,17,32,11,1,17,6,11,1,17,2,7,1,6,4,30,3,28,1,30,2,28,1,30,2,28,3,30,2,28,2,6,1,30,3,28,2,30,1,6,1,9,1,17,20,12,1,17,1,11,1,17,1,12,1,9,1,11,1,8,1,13,1,8,2,13,1,8,1,9,1,24,1,8,1,9,1,8,1,24,1,8,1,9,1,13,1,24,1,13,1,8,1,13,2,8,1,7,3,13,1,8,1,24,1,13,2,24,3,13,1,8,1,13,1,8,1,24,1,13,1,8,1,13,1,24,1,8,2,24,1,11,1,24,2,9,3,30,3,6,1,13,1,28,1,30,1,28,2,30,1,28,2,6,1,30,2,28,1,30,5,28,2,30,2,28,1,30,3,28,1,30,2,28,2,30,1,28,1,30,1,28,3,6,1,30,3,28,3,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,4,30,1,8,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,3,30,1,28,3,30,4,28,1,30,2,28,9,30,1,28,1,30,1,28,15,13,1,28,5,30,1,28,1,6,1,28,9,30,1,28,4,30,1,28,2,30,2,28,1,29,1,28,4,30,1,28,3,30,2,6,1,28,1,6,1,13,1,8,1,6,1,28,1,30,1,6,1,30,5,6,1,28,1,13,1,28,1,9,1,13,1,30,1,28,3,30,3,28,7,30,1,28,9,30,1,28,1,30,2,28,1,30,1,28,3,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,1,6,1,30,3,28,1,30,1,28,10,30,1,28,2,30,2,28,3,30,4,28,6,30,2,13,1,28,1,6,1,30,1,6,1,30,1,28,3,30,2,28,3,30,1,28,2,30,1,28,3,30,1,28,3,30,1,28,1,30,1,6,1,28,7,30,1,28,1,30,1,28,2,30,1,28,2,8,1,13,2,6,1,29,1,28,1,30,4,6,2,13,1,30,1,7,1,28,1,30,1,28,1,30,1,28,3,30,2,28,5,30,1,28,9,6,1,28,1,30,2,28,10,29,1,30,1,28,4,6,1,30,1,28,1,30,1,28,5,30,1,28,4,30,2,28,2,30,1,28,6,30,1,28,10,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,1,6,1,30,3,29,1,30,1,29,1,28,1,13,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,4,30,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,28,8,6,1,30,1,28,2,30,1,13,1,30,1,6,1,28,1,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,1,30,3,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,3,28,4,30,1,29,1,6,1,30,1,13,1,9,1,10,1,17,1,9,1,24,1,10,1,24,1,8,1,25,3,29,1,27,1,26,1,8,1,10,1,11,1,9,1,11,2,9,1,8,1,11,1,9,1,10,1,9,1,8,2,13,1,9,3,11,1,9,1,8,1,9,1,10,1,9,1,10,1,13,1,9,2,11,1,12,1,11,1,13,1,10,1,9,2,8,2,10,1,8,1,13,1,11,1,9,4,13,1,11,1,8,1,13,2,6,1,13,1,8,1,24,1,12,1,8,2,6,1,27,1,30,1,29,1,28,2,30,1,28,7,6,1,28,5,30,1,28,10,13,1,6,1,28,3,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,7,30,1,28,1,30,1,28,1,6,1,30,1,6,1,28,1,30,2,28,1,6,1,13,1,6,1,30,1,6,1,30,2,6,2,29,1,6,3,13,2,28,1,6,2,13,1,6,1,7,1,13,2,6,1,13,3,6,2,7,1,6,1,29,1,7,1,6,2,29,1,30,1,7,1,29,1,7,1,13,1,6,2,13,3,6,1,13,2,8,1,13,3,8,1,13,1,8,1,13,3,8,1,11,1,17,4,12,1,17,1,11,3,8,1,9,2,13,1,7,1,30,1,28,12,13,1,28,3,30,1,6,1,28,1,6,2,7,1,13,2,7,1,13,1,7,1,13,2,7,1,6,3,29,1,6,3,30,1,6,1,30,1,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,13,1,6,2,13,1,6,1,29,2,6,2,30,1,13,1,6,3,29,2,6,1,30,1,13,1,6,1,13,1,29,1,7,3,6,1,29,1,6,1,7,1,6,2,13,2,7,1,13,1,8,1,13,1,6,1,7,1,30,2,28,1,30,3,29,2,28,1,30,1,29,1,6,1,28,1,6,1,30,1,6,1,13,1,28,1,6,1,30,1,6,1,30,1,6,6,7,1,29,1,6,2,13,1,7,1,6,2,13,1,6,2,8,1,13,1,7,1,8,1,13,2,8,1,13,2,8,1,13,2,17,1,8,1,9,2,8,1,13,1,8,1,13,2,10,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,11,1,9,1,8,1,9,2,11,1,9,1,11,2,16,1,11,1,17,2,11,1,17,8,11,1,17,2,16,1,17,2,12,1,9,3,13,1,9,2,10,1,13,1,11,1,10,1,17,2,11,2,16,1,17,27,16,1,17,32,9,1,11,1,8,2,9,1,8,2,9,3,10,1,9,3,10,1,9,4,10,1,9,2,11,1,9,4,11,1,16,1,17,28,16,1,11,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,8,3,9,1,13,1,8,1,13,1,8,2,13,2,9,1,8,1,13,1,8,1,13,1,8,2,9,1,13,5,6,1,13,2,8,1,13,4,7,1,13,1,8,1,11,1,17,3,9,4,8,1,13,2,6,1,13,1,6,1,13,1,7,1,6,2,30,1,13,1,6,1,13,1,6,1,13,2,7,1,13,9,6,1,13,3,8,1,13,2,9,2,11,1,17,1,11,1,17,3,9,1,10,1,16,1,10,1,11,1,16,1,11,2,17,1,11,3,9,1,11,1,16,1,9,1,11,1,16,1,11,2,17,4,11,1,17,3,16,1,17,1,16,2,10,1,9,1,11,1,10,1,16,1,11,2,13,1,11,1,9,2,8,1,9,1,30,1,8,1,6,2,29,1,7,1,6,1,28,1,6,4,13,1,6,1,13,1,6,1,29,1,6,1,7,1,6,1,7,1,13,3,6,1,13,1,6,2,30,3,28,1,30,1,6,1,30,1,28,1,30,1,29,1,28,3,30,1,28,2,30,4,6,1,28,1,30,2,6,1,30,2,28,1,30,3,28,2,6,1,28,8,30,1,28,7,30,1,28,2,6,1,28,1,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,18,17,3,9,1,29,1,6,2,28,1,30,2,28,12,6,2,30,1,13,1,29,1,6,1,9,1,11,1,9,1,17,1,30,1,28,4,6,1,28,1,6,1,24,1,7,1,30,1,28,42,29,1,7,1,28,3,6,1,17,3,8,1,28,1,30,1,13,1,28,1,6,1,28,1,13,2,9,1,17,2,30,1,28,5,30,1,13,1,28,9,}, {29,2,28,1,6,1,17,1,13,1,28,51,30,1,6,1,11,1,10,1,9,2,6,1,8,1,30,1,28,2,29,1,9,1,16,1,24,1,6,1,8,1,9,1,17,1,16,1,11,1,17,2,16,3,11,2,6,1,28,1,30,1,28,4,6,1,11,1,9,1,13,1,28,1,6,1,28,1,6,1,7,1,17,3,16,1,9,1,11,1,8,1,9,1,13,2,12,1,9,1,12,1,17,3,9,1,8,1,13,1,6,2,30,1,13,1,6,1,30,1,28,35,30,1,29,1,8,1,13,1,11,1,12,1,11,1,7,1,28,1,30,1,29,2,28,1,30,1,9,1,17,3,16,2,17,1,9,1,16,1,9,1,8,1,13,1,24,1,6,1,13,1,30,1,6,1,28,1,30,2,6,1,7,1,13,1,8,1,13,2,8,1,13,1,16,1,11,1,17,2,9,1,28,17,6,1,13,1,30,2,6,1,30,1,28,2,30,3,6,2,7,1,6,1,28,8,30,2,28,1,30,1,28,1,29,1,30,1,6,1,29,1,6,2,30,1,29,1,6,2,30,2,6,1,7,1,13,4,9,1,13,1,9,1,11,1,12,1,17,1,12,1,11,1,17,1,11,1,17,1,11,1,17,13,12,4,17,1,11,1,17,2,12,2,11,1,9,1,17,1,10,1,17,1,12,1,17,1,8,2,13,1,6,2,29,1,6,3,28,1,6,2,30,1,6,1,30,4,6,3,30,1,6,1,29,1,6,3,30,1,6,1,30,1,6,1,13,1,6,1,7,1,29,1,6,3,29,1,6,3,30,1,29,2,7,2,6,3,7,2,6,2,13,3,6,1,8,1,13,2,8,1,13,1,9,1,12,1,11,1,16,1,17,2,16,1,17,12,16,2,17,1,16,1,17,2,16,1,17,7,16,1,17,9,16,1,17,1,16,1,17,11,16,1,17,8,11,1,17,4,16,1,17,34,11,1,17,2,12,2,17,1,12,2,17,4,12,1,17,2,12,1,17,29,11,1,9,1,11,1,12,1,11,1,9,1,12,2,10,1,11,1,9,1,12,1,17,2,11,4,9,1,10,1,12,1,17,3,11,3,9,1,17,42,10,1,17,1,11,1,10,1,11,1,12,1,17,1,11,1,9,1,8,1,10,1,11,1,9,2,12,1,9,1,10,1,11,1,10,1,11,1,17,2,10,2,17,1,10,2,17,1,11,1,17,1,12,1,17,3,12,2,10,1,9,1,17,1,8,2,9,1,8,1,9,2,8,1,9,1,13,1,8,1,13,1,9,1,7,1,8,1,13,2,9,1,10,2,9,1,10,2,11,1,12,2,9,1,11,1,10,1,9,1,12,1,10,2,12,1,11,1,9,1,12,4,8,1,12,1,9,1,8,1,11,1,9,1,13,1,24,1,10,1,9,1,8,1,9,1,13,1,24,1,8,4,7,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,2,7,1,9,1,8,1,13,1,8,2,6,1,13,6,6,1,7,2,13,1,6,1,13,1,30,1,13,1,7,2,13,1,7,2,13,1,7,1,6,1,7,3,8,1,6,1,13,2,8,1,13,3,24,1,7,1,8,1,9,1,24,2,9,2,24,1,9,1,10,1,9,2,10,1,11,3,12,1,11,4,10,2,9,2,11,1,9,1,8,1,10,1,9,2,8,1,9,1,10,3,12,1,11,1,17,2,11,1,8,1,10,2,9,1,11,1,10,1,9,1,17,1,10,1,17,43,12,1,17,6,16,1,30,1,13,1,6,1,30,4,28,1,30,2,28,1,30,1,28,2,30,1,28,3,30,3,28,5,30,2,9,1,17,19,11,1,12,1,9,1,10,1,9,1,10,1,9,1,11,1,13,1,10,1,24,1,13,1,8,1,13,1,24,1,10,1,13,1,9,1,13,1,9,1,8,2,13,2,8,2,13,4,6,1,8,1,7,1,8,1,13,1,6,1,13,3,7,1,24,1,6,1,13,1,9,2,24,2,8,1,13,1,24,1,8,1,9,5,8,2,29,1,6,2,13,2,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,1,30,1,6,2,30,4,29,2,28,2,6,1,28,1,30,2,28,1,30,2,28,2,30,2,28,2,30,1,28,1,13,1,6,2,28,1,30,1,28,1,30,1,28,1,29,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,8,1,13,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,3,28,1,30,3,28,1,30,1,28,1,30,4,28,2,30,1,6,1,30,4,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,6,1,28,6,30,4,28,10,30,1,28,1,30,3,28,6,30,1,28,3,30,1,28,10,30,1,28,2,30,2,28,4,30,2,28,1,30,3,6,1,30,2,6,1,13,3,30,1,28,2,6,1,28,1,30,1,6,1,30,1,29,1,28,1,30,1,6,2,9,1,7,1,28,1,30,1,6,1,28,6,30,5,28,2,30,1,28,2,29,1,28,5,6,1,30,1,28,1,30,1,28,1,30,6,28,2,30,2,28,1,30,3,6,1,28,3,30,1,28,3,6,1,28,2,6,1,28,4,30,1,28,2,30,1,28,11,30,1,28,2,30,1,28,1,7,1,6,1,30,3,7,1,29,1,30,1,6,1,28,1,30,3,28,15,30,1,28,2,30,1,28,11,30,1,13,2,28,1,30,1,28,1,6,1,30,2,28,1,30,7,29,1,30,1,28,4,6,1,28,1,30,1,28,2,30,2,28,5,30,1,28,11,30,3,28,1,30,1,28,1,30,2,28,4,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,6,30,2,28,4,30,2,6,1,30,1,29,1,28,6,30,1,28,1,30,2,28,1,30,1,6,1,29,1,13,1,30,3,28,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,4,30,1,29,2,28,3,30,1,28,9,30,1,9,1,6,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,12,30,5,28,8,30,2,6,1,28,1,30,2,28,1,30,2,28,1,30,3,28,5,30,1,28,1,6,1,30,1,6,1,8,1,11,1,17,2,12,2,24,1,7,1,24,1,25,2,8,1,25,1,26,1,6,1,24,2,8,1,9,2,10,1,11,1,9,1,11,3,9,1,8,1,13,1,9,1,10,1,9,3,11,1,9,3,12,1,9,2,13,1,11,1,9,3,8,1,10,1,9,3,13,1,10,1,11,2,10,1,9,3,11,1,9,2,8,2,7,2,13,1,9,1,24,3,8,2,29,1,28,1,30,2,28,6,30,1,6,1,28,18,13,1,6,1,30,1,6,1,28,1,30,4,28,1,30,1,28,3,30,1,29,1,28,5,30,1,28,1,6,1,28,2,6,1,30,3,28,1,30,2,13,1,30,1,29,1,30,3,28,1,30,1,6,2,30,1,6,3,7,1,6,1,7,1,6,1,30,1,13,1,6,1,13,2,7,1,13,3,6,1,13,1,6,1,13,1,6,2,13,1,7,1,29,1,7,2,6,1,7,1,13,1,6,1,7,1,13,2,6,1,8,1,13,4,8,1,9,1,6,1,13,5,9,2,17,3,12,1,17,1,11,2,9,1,11,1,9,2,8,1,13,2,30,1,28,10,30,2,28,1,30,3,6,2,13,4,7,1,13,5,7,1,6,2,13,1,30,1,6,2,28,1,6,2,30,1,6,1,30,1,6,2,7,1,6,4,29,1,30,1,13,1,6,3,13,1,6,2,29,1,6,2,30,2,6,2,30,2,6,1,13,1,6,1,7,1,6,2,30,1,6,1,30,1,13,1,6,2,13,3,8,1,10,1,16,1,8,1,30,2,28,1,6,2,28,1,30,1,28,1,29,2,28,1,30,1,28,1,30,4,29,1,30,2,29,1,6,2,29,1,13,1,6,1,30,1,6,1,30,1,13,1,6,2,13,4,8,1,13,1,6,2,13,1,8,1,13,1,8,2,13,4,8,1,13,1,8,1,13,1,10,1,11,1,13,1,8,1,9,2,13,1,8,1,13,4,8,1,13,1,9,1,8,1,9,3,8,1,9,6,10,1,11,1,16,1,17,1,12,1,17,15,12,1,9,2,13,1,8,3,11,1,9,1,8,3,13,1,10,1,11,1,10,1,17,34,12,1,17,19,11,1,17,4,9,1,10,1,11,1,10,1,9,5,11,1,9,1,11,1,9,1,8,1,16,1,9,1,12,1,9,1,11,1,9,1,10,1,16,1,11,1,8,1,11,1,10,1,9,2,11,1,9,1,11,2,16,1,9,1,17,7,16,1,17,17,11,1,9,2,11,1,9,2,8,2,13,1,8,3,13,2,8,1,9,2,8,1,13,1,8,3,9,2,13,1,9,1,13,1,8,1,13,10,7,2,13,1,29,1,6,2,30,1,6,1,9,1,11,1,17,2,11,1,9,2,8,3,13,1,6,1,13,4,30,1,13,1,6,2,29,1,13,3,7,1,6,1,13,2,7,1,13,1,7,1,13,1,6,1,13,1,6,1,13,2,7,1,13,2,9,1,10,1,9,1,8,1,9,1,17,5,16,1,17,1,16,1,17,1,10,1,16,1,17,1,16,1,17,1,11,1,16,1,11,1,16,2,11,2,17,1,11,1,17,1,8,1,16,1,17,1,11,1,16,1,9,1,16,6,9,1,11,3,9,1,16,1,11,1,16,3,11,1,16,2,17,4,9,2,11,1,9,2,11,1,9,1,8,1,13,2,8,1,13,2,6,2,8,1,7,1,28,1,30,1,6,1,8,1,6,3,28,13,30,2,28,1,30,2,6,1,30,3,6,1,29,1,30,2,29,1,6,1,30,5,13,1,30,2,28,1,30,1,28,4,30,1,28,4,30,1,28,8,30,1,28,5,30,3,28,6,30,1,28,1,29,1,28,16,17,3,10,1,13,1,29,1,30,1,28,1,29,1,28,14,6,1,28,1,6,1,7,1,13,1,9,1,12,1,9,1,16,1,28,3,30,1,28,1,30,1,28,1,7,1,8,1,13,2,28,42,30,1,28,1,6,1,28,1,30,1,13,1,17,3,13,1,30,1,28,1,29,1,13,1,6,1,28,1,13,2,10,1,17,2,28,6,6,1,7,1,28,9,}, {28,2,6,2,17,1,13,1,28,31,7,1,30,1,28,4,30,1,6,1,30,1,28,1,29,1,28,8,30,1,28,2,9,1,12,1,17,1,12,1,13,1,8,1,28,3,6,1,9,1,12,1,13,3,9,2,12,1,16,1,17,2,16,1,17,1,11,1,16,1,9,1,7,1,28,1,30,1,28,3,30,1,29,1,9,2,7,2,6,4,17,3,16,1,10,1,9,1,13,1,8,1,13,2,9,2,10,1,11,1,17,2,9,1,13,1,7,1,6,1,28,1,29,1,7,1,13,1,30,1,28,36,6,1,24,1,11,2,17,1,8,2,28,2,30,1,29,1,30,1,6,1,11,1,17,4,16,1,9,1,16,2,8,1,6,1,8,3,6,2,28,1,29,1,30,1,6,2,29,1,13,2,7,1,9,1,13,1,11,1,8,1,12,1,17,2,16,1,28,12,29,1,28,4,6,2,30,1,6,3,28,4,30,1,6,2,13,1,6,1,30,1,28,6,30,1,28,2,30,1,28,3,30,8,6,1,29,1,6,1,30,1,6,2,29,1,13,1,6,1,13,2,8,2,9,1,11,2,12,1,17,6,11,1,17,8,12,2,17,3,11,1,17,2,11,1,17,3,12,1,11,1,17,2,11,1,17,2,11,1,12,1,17,1,12,1,9,2,13,1,7,1,13,2,29,1,6,1,30,1,6,1,30,2,29,1,6,1,30,1,6,3,30,1,6,4,29,1,6,4,30,3,6,1,30,1,28,1,30,2,6,1,30,1,13,1,6,1,30,1,13,2,6,2,30,1,6,1,30,1,6,3,7,1,6,3,13,1,7,2,13,1,9,1,16,3,17,5,16,1,11,1,17,8,16,2,11,1,17,20,11,1,17,2,16,2,17,5,16,1,17,62,11,1,17,4,12,1,17,28,11,2,12,1,9,1,12,1,10,1,12,1,11,2,17,1,11,1,10,1,11,1,8,1,11,2,9,1,17,1,10,1,17,5,11,2,12,1,11,1,8,1,11,1,17,2,12,1,17,37,10,1,11,1,17,1,11,2,9,2,11,1,12,1,17,1,13,1,9,1,8,1,9,4,11,2,9,1,12,1,9,2,17,1,11,1,17,1,11,1,12,2,11,1,17,4,11,2,17,2,12,1,11,1,17,2,10,3,9,2,10,1,8,1,11,1,9,1,8,1,24,1,9,3,8,1,9,2,10,1,9,1,11,1,12,1,11,1,10,1,8,2,17,1,8,1,11,2,10,1,9,6,17,1,8,1,9,1,13,1,10,1,9,1,8,3,9,1,8,1,13,1,10,1,8,2,13,2,8,1,13,1,9,1,13,1,8,1,13,1,7,1,13,6,7,1,6,1,9,1,6,1,7,1,30,1,8,1,7,1,29,1,13,2,7,1,13,1,29,1,6,1,13,1,6,1,7,2,13,1,6,2,7,1,6,1,8,1,13,1,6,1,7,1,6,1,7,3,6,1,13,2,7,2,13,1,24,1,6,1,8,3,7,1,13,1,10,1,9,1,8,1,10,1,8,1,9,1,10,1,11,1,10,1,12,1,9,1,11,1,17,1,9,2,11,5,9,3,8,1,9,1,8,1,9,5,8,2,10,1,9,1,8,1,9,2,8,1,9,1,8,1,24,1,8,1,9,1,12,1,11,1,12,1,17,1,10,1,17,2,12,1,17,1,12,1,17,5,16,2,17,33,12,1,11,1,17,1,6,1,13,1,30,1,28,1,30,4,28,3,30,1,28,3,30,1,28,2,30,2,28,1,30,1,6,1,28,1,30,2,28,1,13,1,16,1,17,21,11,2,10,1,9,1,12,1,8,1,24,2,8,2,13,1,9,1,8,1,24,1,8,1,13,1,8,2,13,2,7,1,8,1,7,1,13,4,8,1,13,1,8,3,29,1,13,1,29,1,24,1,8,3,7,1,8,1,24,1,8,1,7,1,24,1,8,1,24,1,8,2,9,1,10,1,12,1,24,2,12,1,9,1,6,1,30,1,6,1,30,1,13,1,6,1,28,3,30,1,28,5,30,1,6,1,30,1,7,1,29,1,28,1,30,9,29,1,30,2,28,1,30,3,28,1,30,2,28,1,6,1,28,1,6,1,30,2,28,2,30,2,28,6,30,1,28,2,30,1,28,2,30,1,9,1,30,1,6,1,30,1,28,1,6,1,28,10,30,3,28,1,30,3,28,1,30,4,29,1,30,1,28,1,6,1,28,1,30,2,28,1,30,2,28,3,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,7,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,29,2,28,1,30,1,28,2,30,1,28,2,30,1,29,1,28,1,30,1,28,2,30,2,28,3,30,2,28,3,30,1,28,3,30,1,28,5,30,3,28,1,6,2,30,1,13,3,6,1,28,1,30,1,29,1,30,1,28,1,30,4,6,2,13,3,28,2,29,1,28,2,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,6,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,1,30,2,28,6,30,1,6,2,30,2,28,2,30,2,28,7,30,1,28,7,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,3,6,1,28,2,30,1,6,1,9,1,30,2,6,1,28,1,30,1,28,6,30,1,28,1,30,1,28,5,30,2,28,3,30,1,28,11,11,1,30,1,28,1,30,1,28,2,30,1,6,1,30,4,6,2,28,1,30,6,28,1,30,1,28,1,30,1,28,5,30,1,28,4,30,1,28,17,30,2,28,2,30,1,28,4,30,2,28,2,30,3,28,1,30,1,28,2,30,2,28,7,30,3,28,3,30,1,28,1,30,1,28,2,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,4,30,1,28,6,30,2,28,1,30,1,6,1,30,4,6,1,28,4,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,6,30,1,28,1,30,1,17,1,28,5,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,3,30,2,28,1,6,1,28,4,30,2,28,6,30,1,28,4,30,1,28,1,30,1,28,1,29,1,30,1,28,3,30,2,28,4,30,1,28,3,29,2,13,1,9,1,12,1,17,3,24,4,25,1,27,1,26,2,27,1,6,1,9,4,11,1,10,1,9,1,8,1,10,1,9,1,11,1,9,1,8,1,13,1,11,1,8,1,9,1,8,1,13,1,9,1,11,1,9,1,11,1,10,1,11,1,8,1,9,1,17,1,13,1,11,1,9,3,8,1,11,1,9,1,8,1,9,2,13,1,9,1,11,1,8,2,9,1,8,1,9,1,13,1,8,1,13,1,7,1,24,1,10,1,12,1,10,1,12,1,24,1,25,1,29,1,28,1,29,1,28,1,30,1,28,5,30,1,28,3,6,1,28,16,9,1,6,1,29,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,29,1,28,3,30,1,28,5,30,1,28,1,30,2,6,1,28,1,29,1,30,1,8,1,30,2,6,1,30,2,28,1,6,3,30,1,6,1,30,1,6,1,29,1,7,1,13,1,7,1,6,1,13,1,6,1,30,1,7,1,13,3,6,2,13,1,7,3,13,1,30,2,13,1,7,1,30,1,13,1,6,1,13,1,6,1,7,1,13,9,9,1,8,1,6,1,13,2,7,1,13,2,8,1,9,1,17,7,11,1,12,1,10,1,9,2,13,1,9,1,13,1,6,1,28,9,6,1,28,1,30,3,29,2,6,3,13,2,8,1,13,1,6,1,13,2,6,1,13,1,6,3,13,1,6,1,30,1,6,3,13,1,6,8,30,1,6,1,13,1,30,1,6,1,30,1,6,4,29,1,7,1,29,1,6,2,30,1,6,4,30,1,7,1,6,1,7,1,6,1,13,1,6,1,7,1,6,4,13,3,9,1,11,1,28,1,30,1,6,1,30,1,28,2,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,29,2,6,1,29,1,6,1,29,1,6,1,28,1,6,2,30,1,6,4,13,1,6,1,7,2,6,1,13,2,7,1,13,1,8,1,6,1,8,1,13,1,8,1,6,1,13,2,6,1,13,1,10,1,9,2,13,1,8,3,13,2,9,2,13,1,9,1,13,2,10,1,9,3,13,1,10,1,9,1,8,1,9,3,11,1,16,1,10,1,12,1,17,2,12,1,17,11,16,1,10,1,9,1,8,1,9,1,8,2,9,1,8,1,9,1,8,1,9,3,11,1,13,1,9,1,11,1,17,30,16,1,17,23,16,1,11,1,9,1,8,1,9,1,8,1,11,1,9,3,10,1,9,3,11,1,9,1,11,1,10,1,9,3,10,1,12,2,10,2,13,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,9,2,11,2,9,1,11,2,17,24,9,3,11,1,9,2,8,1,9,2,8,1,13,1,10,1,8,4,13,2,8,1,13,1,6,1,9,2,13,1,9,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,6,1,8,1,13,1,7,1,13,2,29,1,13,1,6,2,13,2,9,1,17,3,10,1,11,1,9,2,8,2,7,1,8,1,29,1,7,1,13,2,30,1,13,2,7,1,6,2,13,1,6,1,13,2,7,3,13,1,6,2,13,1,7,1,13,2,6,1,13,2,8,1,13,1,8,1,13,2,8,1,17,3,11,1,17,3,11,1,17,1,10,1,17,2,11,1,17,1,11,6,17,2,11,1,16,1,17,1,11,7,17,1,9,2,16,1,11,2,17,1,10,1,9,1,11,1,9,1,10,2,11,1,9,1,11,1,16,2,11,1,16,2,17,1,16,1,17,2,10,1,11,1,16,3,17,1,10,1,16,2,17,2,11,2,16,1,11,3,9,1,6,3,13,1,30,1,28,2,6,1,30,1,28,16,29,1,30,1,28,4,13,1,28,1,6,1,30,2,28,1,30,1,28,8,30,1,28,8,30,2,28,3,30,1,28,7,30,1,28,6,6,1,28,16,14,1,17,1,11,1,6,1,13,1,6,1,28,2,30,1,6,1,28,12,30,1,6,1,30,1,6,1,8,2,12,1,9,1,10,1,17,1,28,7,6,1,13,1,7,1,30,1,28,42,13,1,29,1,6,3,13,1,17,3,29,1,6,1,29,1,28,1,6,1,13,2,6,1,13,1,11,1,17,2,28,6,7,2,30,1,28,8,}, {28,2,6,1,30,1,10,1,8,1,28,33,30,1,28,10,29,1,28,7,6,1,8,1,17,2,9,1,13,1,6,2,30,1,28,1,30,1,9,2,8,1,13,2,9,2,17,1,12,1,17,2,16,1,17,3,13,2,28,1,30,1,28,5,12,1,17,1,6,1,29,1,7,1,28,1,30,1,7,1,9,1,17,2,16,1,9,1,11,1,9,1,8,1,9,1,13,1,9,2,11,1,16,1,17,2,16,1,9,1,13,1,30,2,28,1,29,1,8,1,28,38,13,1,10,1,9,1,17,1,10,1,13,1,28,1,30,1,28,1,30,2,6,1,9,1,17,4,11,2,9,2,8,1,13,3,6,4,30,3,6,2,13,4,8,1,17,1,11,1,9,1,16,1,17,1,11,1,28,12,29,1,28,5,6,2,28,1,13,2,30,1,28,2,30,1,6,1,29,1,7,1,13,1,30,1,28,10,30,1,28,3,30,1,28,1,29,1,28,1,30,2,6,1,30,1,29,1,30,1,6,1,30,2,29,2,6,1,29,1,7,1,6,1,13,1,8,1,9,1,10,1,11,5,17,4,12,1,17,3,12,1,17,8,12,1,17,5,11,1,17,10,11,3,17,2,11,1,8,2,9,1,13,1,8,4,9,1,8,2,13,1,8,1,9,1,8,1,9,3,8,1,9,1,10,1,9,2,8,1,13,2,6,1,13,1,7,3,6,2,28,2,30,2,9,1,6,3,30,2,28,1,6,1,30,1,7,2,13,1,6,1,30,1,13,4,8,1,9,1,17,1,11,1,17,2,16,3,17,1,16,1,17,35,16,1,9,1,16,2,17,1,16,1,17,18,11,1,17,36,12,1,17,3,12,1,17,36,11,1,9,1,10,1,11,2,10,1,12,1,9,1,11,1,12,1,11,1,17,1,10,2,12,1,11,1,9,1,11,1,17,6,9,1,12,1,10,1,11,1,17,1,11,1,10,1,17,38,11,1,12,1,11,1,10,1,11,2,10,1,9,1,11,1,9,3,12,1,9,9,11,2,10,1,12,1,11,2,12,2,17,5,10,1,17,2,10,1,17,1,12,2,9,1,12,1,11,1,12,1,17,1,9,1,17,1,9,1,11,1,12,1,9,4,10,1,9,1,11,1,10,1,12,3,11,1,12,1,9,1,11,1,9,2,10,1,9,4,12,1,9,2,10,1,9,1,11,1,9,2,10,1,8,1,13,1,9,1,7,1,8,1,13,4,6,1,13,1,8,1,13,3,7,1,13,1,8,4,13,2,7,1,13,1,6,1,13,3,6,1,13,1,7,1,13,1,7,1,6,3,13,1,7,2,6,4,7,1,6,6,8,1,6,1,7,1,6,1,7,1,6,4,13,1,29,1,13,1,7,1,13,3,8,1,7,1,13,4,9,2,8,1,9,1,24,1,11,1,9,3,11,1,12,2,10,1,12,1,9,2,8,1,10,1,9,1,10,1,9,1,10,1,9,1,8,1,10,1,9,3,7,1,13,4,8,2,9,1,13,1,8,3,9,1,8,2,9,1,11,1,9,1,11,1,24,1,17,1,12,2,17,2,12,1,17,6,12,1,17,32,16,1,17,1,13,2,30,7,28,3,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,6,1,9,1,11,1,17,20,9,1,10,3,8,1,9,1,8,1,9,2,13,1,8,1,10,1,24,1,13,1,24,1,9,1,8,1,13,2,8,2,13,3,8,2,13,2,24,1,13,1,24,1,13,2,24,1,6,3,13,1,24,1,8,2,13,2,8,1,24,1,8,1,13,1,24,3,10,1,9,2,24,1,10,1,8,1,9,1,30,1,6,3,7,1,6,1,30,2,28,4,30,1,28,2,30,1,28,1,29,1,6,1,30,1,6,1,30,1,28,1,6,1,28,2,30,1,6,1,30,1,6,1,13,2,6,1,13,1,30,2,6,1,30,2,6,1,30,1,6,1,28,1,30,1,28,1,6,1,30,3,28,1,30,1,28,1,30,1,28,1,29,1,28,3,30,2,28,1,13,2,7,1,28,2,29,1,6,2,30,1,28,8,30,2,28,4,30,1,28,2,30,1,28,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,3,28,2,30,1,28,6,30,1,28,1,30,2,28,5,30,1,28,3,30,2,28,1,7,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,7,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,4,6,1,28,4,30,1,28,2,30,1,28,1,6,1,30,1,13,1,6,1,13,1,28,1,30,1,28,2,30,1,28,2,30,3,28,1,13,5,28,2,30,1,28,10,30,1,28,2,6,1,28,1,30,1,28,2,30,1,28,2,30,2,28,2,30,3,28,1,30,1,6,1,28,2,13,1,28,1,30,2,28,1,30,3,28,1,30,1,29,1,28,13,30,1,28,5,30,1,28,9,30,1,28,1,30,1,28,4,30,1,28,2,30,1,6,1,8,1,6,1,30,1,28,1,30,2,28,2,30,1,28,4,13,1,28,1,30,1,28,2,30,2,28,2,30,2,28,12,8,1,16,1,30,2,28,6,30,1,28,1,30,1,28,1,30,4,28,2,30,3,28,1,30,1,28,1,30,1,28,8,30,1,28,3,30,1,28,5,30,1,28,5,30,1,6,1,28,2,30,1,28,1,30,1,28,2,30,3,6,1,30,1,28,1,30,1,28,2,30,3,28,2,30,2,28,4,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,4,6,1,30,1,28,1,30,3,6,1,7,1,30,1,28,5,30,1,28,3,30,1,28,3,30,1,29,1,28,2,30,1,28,2,30,1,6,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,3,30,1,13,1,11,1,28,1,30,1,28,3,30,1,29,1,30,1,28,6,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,11,30,2,28,3,30,1,28,3,30,3,28,1,30,1,28,2,30,1,28,3,29,1,30,1,8,1,24,1,17,1,12,1,10,1,12,1,24,1,9,1,8,2,25,1,27,1,26,3,24,1,9,2,11,6,8,1,11,1,9,2,11,1,8,2,9,3,8,1,11,1,9,2,10,1,17,1,9,3,11,1,9,5,8,1,9,1,8,1,9,1,13,1,11,4,10,1,9,1,10,1,9,2,8,1,13,3,8,1,13,1,12,1,15,1,24,2,25,1,6,1,30,1,28,2,30,1,28,26,9,1,6,1,30,3,28,2,30,1,28,1,30,1,28,4,30,1,28,7,30,1,29,1,28,1,6,2,30,1,6,1,13,1,6,3,30,2,6,2,29,1,30,1,6,1,29,1,6,1,29,1,6,2,13,1,6,1,7,1,13,1,29,1,6,2,7,1,13,3,8,1,30,1,13,2,6,1,7,1,6,3,13,1,6,3,13,1,6,1,7,2,8,1,13,2,6,1,13,2,8,1,13,1,6,1,13,1,9,1,13,4,8,2,13,1,9,1,8,1,9,1,17,5,16,1,17,2,9,4,8,1,13,1,6,1,28,7,30,1,6,1,30,1,28,1,30,1,6,1,30,1,6,2,13,4,8,1,13,6,6,1,30,1,7,1,30,1,6,5,30,1,6,1,29,1,6,2,30,1,6,1,30,1,6,3,30,2,7,1,6,3,30,1,7,1,6,2,13,1,30,1,6,1,7,1,30,1,6,5,13,1,6,3,13,1,30,1,13,2,6,2,13,3,8,1,9,2,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,2,6,1,29,1,30,2,6,1,28,1,6,3,30,1,6,2,30,2,6,2,13,1,29,1,13,4,7,1,13,2,6,1,13,2,8,1,13,1,7,1,8,1,6,1,7,1,13,1,8,1,13,1,17,1,9,1,13,1,11,1,13,4,8,2,13,4,8,2,9,5,10,1,8,1,9,1,11,1,13,1,12,1,11,1,10,1,11,1,12,1,11,1,17,1,10,1,17,8,12,1,17,1,11,1,9,1,11,1,9,2,8,1,10,1,9,1,13,1,9,2,8,2,9,2,8,1,13,1,9,1,17,27,16,1,17,26,11,1,13,1,10,1,11,1,9,1,11,1,9,4,8,1,9,1,10,1,11,1,9,1,11,1,9,2,12,1,17,2,10,1,17,1,9,1,11,2,16,1,17,1,11,1,16,1,10,1,9,1,16,1,8,1,11,1,17,1,11,1,9,2,11,1,12,1,16,1,9,1,16,1,17,21,9,2,11,2,9,2,10,1,8,1,9,1,8,1,10,1,8,1,24,1,9,1,8,1,13,2,11,1,13,1,8,4,9,1,13,2,8,1,13,2,8,1,13,2,6,1,13,1,6,1,7,1,13,3,30,1,6,3,7,1,6,1,13,1,9,1,16,1,17,2,9,3,10,1,13,1,6,3,13,1,7,3,13,1,6,2,28,2,13,1,29,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,9,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,13,3,8,1,9,1,13,1,10,1,17,7,16,2,17,1,16,1,17,2,9,1,16,2,11,1,16,2,10,1,16,1,17,1,11,1,17,2,16,2,17,3,11,1,16,2,17,1,11,1,16,1,12,2,17,1,9,3,10,1,16,1,9,3,11,1,9,1,10,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,11,2,8,1,9,2,11,2,9,1,11,2,8,1,11,2,16,1,11,1,17,5,10,1,9,2,16,1,10,1,9,2,11,3,10,1,9,2,8,1,13,5,8,1,13,1,6,1,13,3,6,1,7,3,13,3,30,1,28,2,30,2,28,8,30,1,13,1,28,4,30,1,28,3,30,2,29,1,30,1,28,4,30,1,28,7,30,2,6,1,28,16,14,1,17,1,9,1,8,1,13,1,29,1,28,16,30,1,28,2,30,1,8,2,9,1,8,1,9,2,28,7,8,2,30,1,6,1,28,42,6,1,29,1,30,2,28,1,30,1,17,3,13,1,6,3,30,1,8,1,30,1,6,1,8,1,12,1,17,2,28,6,29,1,6,1,28,9,}, {30,1,28,3,14,1,11,1,28,29,30,1,28,14,29,1,28,7,30,1,8,1,9,1,17,1,9,1,13,2,28,3,7,1,10,1,8,1,7,1,13,1,29,1,13,1,10,1,9,1,11,1,17,4,16,2,9,1,13,1,30,1,28,3,30,1,28,1,13,1,16,1,9,1,7,1,6,1,7,1,13,1,30,1,7,1,11,1,17,3,16,1,11,1,13,3,8,1,9,1,13,1,9,1,16,1,17,2,9,1,7,1,6,1,13,1,6,1,30,2,6,2,28,36,6,1,13,1,9,1,11,1,16,1,12,1,7,1,6,1,28,1,30,1,29,1,6,1,29,1,10,1,17,4,16,2,9,1,10,1,13,3,7,1,30,2,29,1,6,1,28,1,30,2,8,1,30,1,7,1,8,2,13,1,9,2,11,2,9,1,17,2,28,18,6,1,30,2,6,1,13,1,30,1,28,3,30,1,13,1,7,2,6,1,28,6,30,1,28,4,30,1,29,1,30,6,28,1,30,1,28,1,29,1,30,2,6,1,28,1,30,1,6,1,29,1,6,1,30,1,6,1,7,1,13,1,24,1,8,1,11,1,17,2,12,1,17,2,11,1,17,8,12,1,17,5,12,1,17,7,11,1,12,1,11,2,17,3,12,1,11,1,17,1,11,1,12,2,17,2,11,1,17,3,11,2,12,1,11,3,10,3,12,1,11,1,17,1,9,1,17,3,12,1,11,1,17,1,11,1,9,1,11,3,9,1,10,1,11,2,10,1,8,1,10,1,8,1,13,1,6,1,13,2,30,1,6,4,29,1,6,1,13,2,6,3,28,1,7,1,8,2,13,1,8,1,9,1,16,1,17,1,16,1,17,5,11,1,16,2,17,14,16,1,12,1,17,22,16,1,11,1,16,1,17,51,12,1,17,42,10,1,9,1,11,2,10,1,17,1,9,1,17,1,9,1,11,1,12,1,9,1,10,1,8,1,11,1,17,1,11,1,17,1,12,1,16,1,17,1,9,1,17,1,9,1,11,1,12,1,11,1,17,1,10,1,17,39,11,4,9,2,8,1,9,2,11,1,8,1,13,2,9,1,13,1,9,1,11,1,9,2,10,1,9,3,8,1,9,2,11,1,12,3,17,2,12,2,17,1,12,2,11,1,17,2,12,1,10,2,12,1,9,1,17,1,12,2,17,1,11,1,17,1,12,1,17,2,10,2,12,1,10,1,12,1,11,1,12,1,11,1,12,1,10,1,12,1,9,1,11,1,9,2,8,1,9,1,10,1,9,1,10,1,9,4,12,1,8,1,13,1,8,2,9,1,8,1,13,1,8,2,13,1,24,1,13,3,8,1,13,3,6,1,8,1,7,1,13,3,8,1,13,1,6,2,7,1,13,1,6,3,13,1,6,1,29,1,24,1,30,1,6,3,7,2,6,6,29,2,30,1,29,1,6,1,30,1,6,1,7,1,6,3,13,1,6,1,7,2,6,2,13,4,6,1,13,2,8,5,13,1,8,1,24,1,8,2,11,1,8,1,12,1,10,1,9,1,10,1,9,1,10,1,11,1,9,3,13,2,9,2,8,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,7,1,13,1,7,1,13,3,6,1,13,1,7,1,13,1,8,1,13,3,7,1,13,2,9,1,17,1,10,1,17,39,12,1,17,1,11,2,17,2,13,1,6,1,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,6,6,1,30,1,8,1,10,1,17,19,11,1,17,1,11,3,9,2,8,4,13,1,8,1,7,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,2,8,1,13,3,7,1,13,3,8,1,6,1,8,1,13,1,6,1,7,1,13,1,7,1,13,1,7,1,13,1,8,1,24,1,13,3,8,1,24,1,13,1,24,1,8,1,24,1,9,2,11,1,9,2,11,1,13,1,28,2,30,1,6,2,30,1,28,4,30,1,28,2,30,1,28,1,30,2,6,2,28,1,30,2,28,2,30,2,6,1,30,1,13,3,6,1,28,1,6,1,29,1,30,1,29,2,30,2,28,1,30,1,28,1,30,6,28,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,30,2,6,1,13,1,28,1,29,2,28,1,30,2,6,1,13,1,9,1,13,1,6,3,13,1,6,1,30,1,6,1,30,1,28,1,30,2,28,3,30,1,6,1,28,1,30,3,28,1,30,4,28,1,30,1,28,2,30,1,28,5,30,2,28,1,30,1,28,4,30,1,28,2,30,3,28,1,30,2,28,3,30,1,28,1,30,1,28,4,30,2,28,2,30,1,28,3,30,1,28,2,30,1,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,4,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,6,1,13,2,6,1,30,1,28,1,30,1,28,1,30,3,28,3,30,1,7,1,13,1,6,3,30,4,28,2,30,2,28,12,30,1,28,4,30,1,28,4,6,3,28,2,30,1,28,1,30,2,28,2,30,2,28,1,30,3,28,3,30,1,28,8,30,1,28,1,30,1,28,2,30,1,28,6,30,10,28,3,30,1,28,2,30,1,6,1,30,4,6,1,30,2,28,2,30,1,28,2,6,1,30,2,28,1,30,3,28,17,17,1,6,1,28,1,6,1,28,3,6,2,30,2,28,1,30,2,28,2,30,1,6,1,28,1,30,1,28,2,6,1,28,5,30,1,28,26,30,1,28,3,30,1,28,2,30,1,28,1,30,1,29,2,28,7,29,1,28,1,30,1,28,2,30,1,28,3,30,2,28,7,30,2,28,1,30,2,28,1,30,1,6,1,28,1,30,1,28,3,30,3,28,4,30,4,28,1,30,2,28,1,6,2,28,1,30,1,28,1,30,3,6,1,28,1,30,1,28,5,30,1,28,4,30,3,6,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,13,1,9,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,4,30,1,28,12,30,1,28,5,30,1,28,2,30,3,28,4,6,1,30,1,28,9,6,1,13,1,8,1,9,1,15,1,12,2,10,1,8,1,24,2,8,1,6,1,29,1,25,2,6,1,24,1,8,1,10,1,17,1,11,5,10,1,11,2,9,1,11,1,9,1,11,2,9,3,11,1,9,3,12,1,9,1,10,1,9,3,17,1,9,1,11,3,9,1,8,1,9,1,11,1,9,1,8,1,9,1,11,1,10,1,9,1,8,1,11,1,13,5,8,1,10,1,12,2,24,2,27,1,6,1,29,1,30,1,28,1,30,1,28,5,6,1,28,4,30,1,28,15,6,1,13,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,1,30,1,13,1,6,1,13,1,29,1,28,1,30,7,6,3,28,1,29,1,7,1,6,3,13,3,6,1,13,1,7,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,6,1,9,1,13,5,7,1,13,2,9,1,13,3,8,1,13,9,12,1,17,8,10,1,9,4,13,1,30,2,29,1,30,1,28,2,30,1,28,1,9,1,28,1,30,1,6,1,30,1,6,3,13,2,7,1,13,8,29,1,6,1,29,1,6,1,30,1,6,3,29,1,30,2,13,1,29,1,6,2,29,1,6,2,13,1,6,1,30,1,6,1,13,1,6,1,13,1,6,4,30,1,6,1,30,1,6,1,30,1,6,3,30,1,29,1,6,1,30,1,7,1,6,2,7,2,6,1,13,1,7,1,6,1,7,1,13,1,6,1,13,1,9,1,8,1,13,1,30,3,6,1,30,2,28,1,30,2,6,1,30,5,28,1,6,1,29,1,13,1,28,1,30,1,29,1,30,2,7,1,29,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,7,3,13,2,7,1,13,3,6,1,13,2,8,1,7,2,13,4,9,2,13,1,8,1,13,3,8,1,13,4,8,1,9,1,13,2,9,1,13,3,9,1,8,2,9,1,8,3,9,2,8,1,9,1,12,1,11,1,16,1,17,9,11,1,9,3,8,1,9,2,8,1,9,3,8,2,9,1,10,1,9,1,13,1,9,1,10,1,11,1,10,1,17,26,16,1,17,24,16,1,10,1,9,2,10,1,9,1,11,1,9,1,11,1,9,3,8,1,9,3,11,1,17,1,12,1,17,1,12,2,17,1,12,2,17,1,10,1,17,1,9,2,11,2,9,1,11,2,8,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,11,1,10,1,9,1,16,1,17,19,11,2,10,1,9,2,8,1,9,1,8,1,9,1,8,1,9,2,13,1,9,2,11,2,8,1,10,1,8,1,9,2,13,1,9,2,8,2,13,1,8,2,9,1,8,1,13,1,8,1,13,2,6,1,13,1,6,1,13,1,6,4,13,2,9,1,10,1,17,2,9,1,8,1,11,1,9,1,13,1,8,1,13,1,29,1,8,1,7,2,6,1,29,1,6,3,29,2,28,1,6,2,13,1,29,1,6,3,28,1,6,6,8,1,6,1,8,1,13,1,9,1,13,1,8,1,17,5,16,1,17,1,16,1,17,6,16,2,11,2,17,1,11,2,16,1,11,1,16,2,17,1,11,2,16,1,10,1,11,1,12,1,16,1,17,1,11,3,16,1,11,1,17,1,16,1,11,1,9,1,16,1,9,1,10,1,11,1,9,1,11,1,9,4,16,1,9,1,8,1,9,2,8,1,10,1,9,1,11,1,9,1,10,2,8,1,11,2,9,1,11,3,17,1,16,2,11,1,16,1,17,1,16,2,11,1,9,1,16,2,10,1,9,2,10,1,9,3,11,5,10,1,9,1,11,1,17,1,9,1,10,1,9,1,11,1,9,2,10,1,9,3,13,2,8,1,9,1,13,1,9,1,6,1,7,1,6,1,13,1,6,2,30,1,13,2,28,2,30,1,28,3,29,1,28,1,30,1,6,1,30,2,28,3,30,1,28,4,30,1,28,4,30,1,6,1,28,15,29,1,17,2,11,1,13,1,30,2,28,1,29,1,28,14,30,1,28,2,13,2,8,2,10,1,9,1,8,1,28,6,30,1,6,1,13,1,6,1,28,1,30,1,28,41,13,2,6,1,28,2,6,1,17,2,11,1,13,1,30,1,6,1,30,1,13,1,7,1,13,2,9,1,11,1,17,2,30,1,28,5,29,1,30,1,28,9,}, {28,3,6,1,12,1,13,1,30,1,28,2,30,1,28,21,30,1,28,2,30,1,28,16,29,2,28,1,30,2,28,2,29,1,13,1,9,1,17,1,9,1,8,1,29,1,30,1,28,2,13,1,9,1,11,1,9,1,7,1,8,1,13,1,9,2,12,1,17,3,16,2,12,1,9,1,6,1,30,1,28,3,30,1,29,1,6,1,13,1,17,1,7,1,6,1,30,1,7,1,30,1,13,1,12,1,17,4,9,1,13,1,8,2,13,1,8,1,9,3,17,2,11,1,13,1,30,1,6,1,29,1,30,1,29,1,8,1,6,1,28,37,13,2,9,1,17,2,7,1,28,1,29,1,6,1,30,1,28,2,9,1,17,5,16,2,10,1,9,1,8,2,6,4,29,1,30,3,6,2,8,2,13,1,9,1,11,2,16,1,11,4,29,1,28,17,29,1,30,2,7,1,6,1,30,1,28,1,30,2,29,1,6,1,13,1,6,1,28,7,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,5,28,1,30,2,28,1,29,1,28,1,29,1,28,1,29,1,30,1,7,1,13,2,10,1,11,1,9,1,17,1,11,1,17,3,12,1,10,1,17,1,12,1,17,4,11,1,17,4,11,1,17,2,12,1,17,1,12,1,17,4,12,1,17,4,12,1,17,6,12,2,17,3,11,1,17,6,11,1,12,1,17,1,12,1,17,23,11,1,9,1,11,1,9,1,8,1,13,2,6,3,8,1,13,1,7,1,29,2,28,1,30,1,6,1,13,1,11,1,10,1,11,1,17,2,11,1,17,1,11,1,17,1,11,1,10,1,17,2,11,1,17,1,16,1,17,1,16,1,17,1,12,1,16,1,11,2,12,1,10,1,11,2,10,1,17,7,16,2,17,2,16,1,11,1,17,14,16,1,17,9,16,1,17,4,16,1,17,77,11,1,17,1,9,1,12,1,11,1,10,3,12,1,11,1,12,1,17,3,9,1,17,2,11,2,17,1,10,1,12,1,11,1,17,1,11,1,9,1,10,1,17,1,12,1,10,1,17,1,12,1,17,37,11,1,17,1,11,1,17,1,11,1,9,2,11,1,12,1,10,1,13,1,9,2,8,2,9,1,8,1,9,1,8,1,13,1,9,1,8,1,9,3,24,1,11,1,10,2,17,1,9,1,11,1,17,1,12,1,10,1,9,1,12,1,17,1,10,2,9,1,11,1,10,1,11,1,12,1,17,1,10,1,12,1,11,1,12,1,9,1,12,1,10,1,17,1,11,3,10,1,17,1,11,1,9,1,10,1,9,1,10,1,9,1,10,2,9,1,11,1,9,1,11,1,10,1,8,2,24,2,8,1,9,1,8,1,10,1,8,2,13,1,9,1,13,1,6,1,8,2,7,1,13,2,7,1,13,2,30,1,8,1,7,2,13,1,7,1,8,1,13,1,8,1,13,1,7,1,29,1,7,1,6,2,7,1,6,1,13,1,29,2,30,1,7,1,29,1,6,1,7,1,28,1,7,1,30,1,13,1,30,1,6,1,30,2,6,1,30,1,6,2,30,1,29,1,6,1,29,1,30,1,6,2,7,1,29,1,6,1,7,1,6,3,13,1,29,1,7,4,13,1,7,2,13,2,9,1,8,2,9,1,13,1,8,1,9,1,10,2,24,1,10,1,9,1,12,1,11,2,10,1,9,2,8,1,13,1,10,1,6,1,8,1,13,3,8,1,13,1,7,1,13,2,7,1,6,1,7,2,6,1,13,1,7,2,6,5,13,2,8,1,13,2,8,1,11,1,9,1,17,34,12,1,17,5,11,1,17,3,9,1,6,1,29,1,28,1,30,8,28,1,30,4,28,1,30,4,6,2,13,1,9,2,17,6,12,1,17,12,12,1,17,1,12,3,8,1,24,1,12,1,10,1,13,2,9,1,13,1,7,1,10,1,13,1,8,1,13,1,8,1,13,1,8,2,13,4,6,1,13,1,8,1,13,1,8,1,7,2,13,1,8,1,7,2,13,1,6,2,13,2,8,1,24,1,8,1,13,1,8,4,9,2,11,1,24,2,10,1,9,1,10,1,11,1,6,1,30,2,28,1,7,1,30,2,28,1,30,3,28,2,30,1,28,1,30,1,28,1,13,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,2,6,1,30,9,28,1,30,2,28,1,30,3,6,2,30,6,28,2,30,1,28,1,7,1,13,1,30,1,28,1,30,1,28,2,30,2,28,3,29,1,6,2,13,2,6,1,13,1,6,1,30,2,28,1,30,4,28,1,30,3,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,2,28,2,6,1,28,4,30,1,28,5,30,1,28,2,30,1,28,5,30,1,6,1,28,1,30,1,28,6,30,1,28,9,30,4,28,1,30,1,28,3,30,1,28,1,30,1,28,2,29,1,30,4,28,1,30,2,28,2,30,1,28,2,13,2,6,1,30,2,28,2,30,1,28,3,30,1,28,2,6,1,8,1,6,2,7,1,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,3,30,1,28,1,30,1,29,1,30,3,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,5,28,2,30,2,29,1,30,1,28,1,30,3,28,1,30,1,28,3,30,1,28,6,30,1,28,8,30,1,28,1,30,3,28,1,29,1,28,4,30,1,28,2,13,1,28,1,30,2,28,1,6,1,28,1,30,4,28,1,29,1,6,1,13,1,30,2,28,1,30,1,28,1,30,2,28,16,17,1,28,2,30,2,28,1,6,1,30,2,28,1,30,2,29,1,28,1,30,1,28,5,30,2,28,1,30,1,28,1,30,1,28,22,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,7,30,3,6,1,30,1,28,2,30,2,28,4,30,3,28,2,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,1,30,5,28,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,28,1,30,3,28,3,7,1,6,1,28,3,30,2,28,1,30,1,28,7,30,1,28,1,30,2,28,2,30,1,7,1,30,2,28,5,30,1,28,2,30,1,28,4,11,1,13,1,28,1,30,1,28,2,30,1,28,5,30,1,28,1,29,1,28,2,30,1,28,6,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,7,30,1,28,3,30,2,28,3,30,3,28,2,30,1,28,5,30,2,13,1,24,1,12,1,17,1,12,1,9,2,12,1,10,1,24,1,26,1,25,1,27,1,26,1,29,1,7,1,8,1,11,1,12,1,11,1,17,1,10,1,11,1,17,1,11,2,10,1,11,3,9,4,8,1,11,1,9,1,10,1,9,1,11,2,9,2,11,1,17,1,8,1,9,1,11,2,9,3,11,1,9,1,12,1,10,1,8,1,11,1,9,2,11,1,9,2,13,1,8,2,13,1,6,1,24,1,8,1,9,1,24,3,6,1,26,1,6,1,30,3,28,5,30,1,28,20,30,1,9,1,28,1,6,1,28,1,30,2,28,5,30,1,28,2,30,1,28,2,30,1,28,2,30,3,28,2,30,1,9,1,28,1,6,1,30,2,28,1,6,2,30,5,29,1,30,1,6,1,28,1,6,2,29,1,6,1,7,1,13,1,30,1,13,4,6,1,13,1,6,2,13,1,6,1,13,3,6,1,13,1,6,1,13,4,30,1,13,5,8,1,13,1,8,1,6,1,13,1,9,1,8,1,9,1,8,2,9,1,8,1,13,3,8,1,13,1,12,1,10,1,17,8,9,2,8,2,9,1,13,1,6,1,30,1,28,1,30,2,29,1,9,1,28,1,6,1,30,1,6,1,30,1,6,1,13,4,8,1,7,1,13,5,6,1,29,1,6,2,29,1,6,1,29,1,6,1,30,1,29,1,30,1,13,2,6,1,7,1,30,1,6,1,7,1,6,1,7,1,6,5,7,1,6,3,13,1,6,1,13,1,29,1,6,2,7,1,6,1,7,1,6,3,30,1,13,1,7,1,6,4,30,1,6,1,7,1,13,4,8,2,6,2,29,1,6,1,30,2,28,1,30,7,6,1,30,2,6,1,28,1,30,1,29,1,6,1,30,4,6,1,28,1,6,1,13,1,30,1,6,3,13,4,6,1,13,1,7,1,13,5,8,1,13,1,9,1,8,1,13,3,12,1,8,3,13,1,9,1,8,1,13,1,8,2,13,1,8,1,13,1,8,1,13,2,9,1,8,1,9,1,8,2,13,1,11,1,9,3,11,1,8,1,9,2,11,1,10,1,11,1,12,1,11,1,17,7,10,1,12,1,9,2,8,1,9,1,8,1,9,4,8,1,9,2,8,1,9,2,11,1,10,1,9,2,16,1,17,3,16,1,17,45,9,3,11,1,8,1,9,1,8,1,9,1,11,1,9,4,8,1,11,1,8,2,12,1,9,1,17,1,12,1,16,1,10,1,11,1,17,2,11,1,12,3,11,1,16,1,17,1,11,2,12,1,16,1,17,1,9,1,11,1,12,1,11,1,9,1,11,2,17,1,16,1,12,1,11,1,17,1,16,2,17,16,9,1,11,3,9,1,11,1,9,2,13,1,9,4,8,1,13,1,10,1,6,1,24,1,13,1,9,1,8,1,9,2,8,1,9,1,13,2,8,1,13,2,9,1,8,2,9,1,8,1,13,2,6,1,7,2,6,1,29,1,6,1,13,1,29,1,6,1,13,1,8,1,16,1,17,2,12,1,11,1,9,1,8,2,13,1,7,1,6,1,28,1,7,1,6,2,29,1,6,1,30,1,28,2,29,1,30,2,29,1,6,1,29,1,13,1,6,1,13,1,7,1,6,1,13,1,6,4,13,1,7,1,13,2,9,1,13,1,9,1,17,3,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,2,11,1,17,1,16,1,9,1,10,1,11,2,9,1,11,1,16,2,9,1,11,1,10,1,11,4,9,1,16,1,9,2,11,1,10,1,9,1,8,1,9,7,13,1,10,1,9,1,8,1,10,2,8,1,11,1,9,2,8,1,11,1,9,4,12,1,9,2,11,1,9,3,11,1,10,1,9,1,16,1,9,1,11,6,16,1,11,1,17,1,11,1,16,2,11,3,16,1,11,1,9,1,16,1,9,2,10,1,9,1,11,1,8,1,11,1,10,1,9,2,11,1,9,4,11,1,9,1,11,1,17,1,11,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,28,3,30,4,28,1,30,5,28,3,30,2,28,1,30,2,28,3,30,2,6,2,28,15,29,1,17,2,11,1,6,1,7,1,13,1,28,1,6,1,30,1,28,16,13,2,9,5,28,4,30,1,28,1,30,1,9,1,8,1,6,2,28,42,13,2,28,4,17,2,11,1,13,1,6,2,13,2,8,1,9,1,13,2,10,1,17,1,12,1,28,6,30,2,28,9,}, {28,3,29,1,14,1,10,1,28,2,6,1,28,42,30,3,28,4,6,1,13,1,12,2,9,1,8,1,6,1,28,1,30,1,29,1,28,1,9,3,6,2,13,1,9,1,12,1,11,1,17,3,16,1,11,1,17,1,9,1,13,1,30,2,28,1,30,1,28,2,29,1,17,1,12,1,13,1,6,1,29,1,6,1,30,2,12,1,17,3,16,1,9,1,8,2,13,2,8,1,13,1,9,2,17,2,16,1,13,1,7,1,29,2,30,1,29,1,9,1,13,1,28,37,6,1,13,1,11,1,9,1,17,1,13,1,6,1,28,1,6,1,29,1,28,1,6,1,8,1,17,4,9,1,16,1,17,1,11,1,9,2,13,1,6,2,30,1,6,1,30,1,28,1,13,1,6,1,7,1,13,2,8,1,13,1,9,2,11,1,12,1,11,2,17,2,28,18,6,1,30,3,13,1,30,1,29,1,28,1,6,2,7,1,13,1,30,1,28,10,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,3,30,9,6,3,8,1,9,1,10,1,11,1,12,1,17,1,11,1,17,32,12,1,17,4,10,1,17,10,12,1,17,5,12,1,17,9,12,2,17,1,11,1,12,1,17,4,12,1,11,1,17,1,11,1,17,3,12,1,10,1,9,3,11,1,9,1,13,4,8,1,9,2,12,1,11,2,17,3,11,2,12,1,11,2,17,1,11,1,12,1,10,1,9,1,17,1,12,1,11,3,9,1,10,1,11,1,17,1,8,1,9,1,16,1,11,2,10,1,9,1,17,1,9,1,11,1,9,1,16,1,17,1,9,1,17,2,12,1,17,2,11,1,17,26,11,1,17,76,11,1,17,1,11,2,12,1,17,1,11,1,9,1,17,1,12,1,17,1,9,1,17,1,11,1,17,3,9,1,11,1,10,2,17,1,9,1,10,1,11,3,12,1,9,1,11,1,17,38,12,1,17,1,12,1,10,1,9,1,8,2,9,1,12,1,11,1,9,1,8,1,13,1,7,1,8,1,9,1,8,1,13,2,7,1,13,3,8,1,13,1,8,3,9,1,10,2,9,2,10,2,12,2,9,2,10,1,9,4,8,1,9,1,12,1,10,1,11,1,17,1,10,1,12,1,9,1,11,1,17,1,9,1,11,2,17,1,12,1,10,1,11,2,9,1,10,1,8,1,10,2,12,1,9,1,10,1,9,3,8,1,13,1,9,1,24,1,8,2,9,3,8,1,24,1,13,1,8,1,13,3,7,1,8,1,7,1,13,1,7,1,13,1,8,1,7,1,8,1,6,1,13,2,8,1,13,1,6,2,30,1,6,1,29,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,7,1,6,1,29,1,6,1,29,1,6,1,30,2,6,2,30,1,28,1,30,1,6,1,28,1,6,3,29,2,6,1,7,1,6,1,7,1,29,1,13,1,6,1,7,1,30,1,7,1,13,2,6,2,7,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,9,1,13,1,9,4,13,1,9,1,10,1,9,3,24,1,13,1,8,1,13,1,24,1,7,1,13,2,6,1,13,2,30,1,6,2,29,1,7,1,6,1,30,2,6,4,13,1,7,2,6,1,7,1,13,1,6,1,13,1,9,1,13,1,9,1,11,1,12,1,17,1,11,1,17,41,7,1,6,1,30,3,6,1,28,2,30,2,28,1,30,1,28,1,30,1,6,1,30,1,29,2,30,1,6,4,13,1,11,2,17,17,11,2,12,1,17,1,9,1,10,1,9,1,11,1,8,1,9,1,24,1,9,1,24,1,8,1,13,1,24,1,8,2,13,2,8,1,7,1,13,1,8,1,13,1,8,1,6,1,13,1,7,1,13,2,8,1,13,2,8,1,7,1,6,1,13,4,8,1,24,1,8,1,13,1,8,1,13,1,8,2,13,1,9,1,8,1,24,1,9,1,8,1,11,1,9,4,11,1,30,1,28,2,30,5,28,3,6,1,28,2,30,1,28,1,6,1,13,2,30,4,28,1,30,1,6,1,28,2,30,1,6,3,30,2,28,1,29,1,30,3,28,1,30,1,28,1,30,2,28,2,30,1,6,1,30,6,28,4,13,2,28,4,30,2,6,1,28,1,30,1,28,4,30,1,28,2,30,1,28,1,7,1,30,1,6,1,30,2,28,3,30,3,28,1,30,3,28,1,29,1,28,2,30,3,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,7,30,1,28,2,6,1,29,1,6,3,30,1,28,2,30,1,28,5,30,1,28,10,30,1,28,2,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,4,30,3,28,5,30,2,13,1,6,2,30,1,28,1,30,1,28,3,30,1,28,4,8,1,6,2,13,1,30,1,28,1,6,1,30,4,28,1,6,1,30,1,6,1,28,3,30,1,28,1,30,1,28,5,30,5,28,2,30,2,28,1,30,1,6,1,30,1,28,4,30,3,28,3,30,2,28,1,29,1,28,1,30,1,28,1,30,3,28,2,30,1,28,2,30,3,28,3,30,1,28,2,30,1,28,1,6,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,7,1,30,2,28,1,30,1,28,1,30,3,28,1,30,2,13,1,29,1,28,4,30,1,28,1,30,2,28,7,30,2,28,4,6,1,28,1,11,1,9,1,30,1,7,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,4,30,2,28,1,30,1,28,1,30,2,28,3,30,1,28,4,30,1,28,9,30,1,28,1,30,1,28,1,30,2,28,5,29,1,30,3,28,4,30,1,28,1,30,2,28,3,30,2,6,1,28,3,30,3,28,1,30,1,28,2,30,2,28,2,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,4,30,2,28,2,30,2,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,30,1,28,2,29,1,6,1,29,1,6,1,30,3,28,2,30,1,28,3,30,2,28,1,30,2,28,1,30,1,28,2,29,1,13,1,30,2,6,1,30,2,6,1,28,2,30,1,28,2,30,1,28,2,29,1,13,1,16,1,9,1,30,1,28,4,30,2,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,24,30,5,28,1,30,2,28,10,30,1,6,2,24,1,15,1,17,1,12,1,24,1,9,1,24,2,8,1,25,1,26,1,25,1,27,1,6,1,8,1,10,1,17,2,11,1,16,2,11,1,17,1,11,2,9,1,11,1,9,1,17,1,11,1,9,1,11,1,9,1,8,2,13,1,11,1,9,1,11,2,9,1,10,1,9,1,11,1,9,1,11,1,10,2,11,1,12,1,10,1,11,3,9,3,11,1,9,1,10,1,9,1,10,1,9,1,8,1,13,1,8,1,13,1,24,1,13,1,24,3,13,1,8,1,25,1,6,1,30,2,28,5,30,2,28,20,7,1,13,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,5,30,1,28,1,30,1,28,2,30,2,6,1,7,1,28,1,6,1,30,2,28,1,29,1,30,2,6,3,29,1,7,1,6,1,30,1,13,1,7,1,6,2,7,1,13,1,6,2,13,3,6,1,13,1,6,2,13,3,7,1,13,2,6,2,13,1,6,1,13,4,9,1,13,1,8,1,6,1,13,3,7,1,8,1,9,1,8,1,9,1,8,1,6,1,13,2,8,1,13,3,8,2,9,1,17,1,12,1,17,6,12,2,11,2,9,2,8,2,13,1,7,1,6,1,13,3,6,1,7,1,6,3,13,7,6,1,13,1,7,1,13,1,29,1,6,3,29,1,30,2,6,1,30,2,6,1,29,1,6,2,30,1,6,3,29,1,6,1,30,2,13,1,6,1,29,1,13,1,7,1,6,1,7,1,6,1,30,1,13,1,6,1,7,1,29,1,6,1,7,1,13,1,7,1,30,1,13,1,7,1,30,1,13,2,6,1,29,1,6,3,13,1,6,1,7,2,8,1,9,2,6,1,7,1,30,1,6,1,30,2,29,1,30,1,29,1,30,1,28,1,6,1,30,3,6,2,30,2,6,1,30,1,28,1,30,1,29,1,30,1,7,1,6,2,30,1,6,2,7,1,6,2,7,2,6,1,29,1,7,1,13,3,8,1,6,1,13,1,7,1,8,2,13,3,8,1,13,1,8,1,10,1,13,3,8,2,13,1,8,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,11,1,8,2,13,1,9,2,8,1,9,1,8,1,9,1,16,1,9,1,17,1,16,1,17,7,12,1,11,1,9,5,8,1,9,1,8,1,13,1,9,2,8,2,10,1,11,4,16,1,17,48,10,1,9,4,13,1,9,2,12,1,11,1,9,2,8,1,9,8,11,2,16,2,17,1,12,1,11,1,12,1,16,1,17,1,11,1,17,1,16,3,17,3,12,1,11,1,17,1,11,1,17,1,12,1,11,1,13,1,9,1,17,1,11,1,12,2,17,1,10,1,11,1,17,14,11,1,9,1,10,1,9,2,12,1,8,1,9,1,8,1,9,3,8,1,9,3,13,1,9,3,13,1,9,1,8,2,9,2,8,1,10,1,13,1,9,1,8,1,9,1,8,2,13,1,8,1,6,1,9,1,13,1,6,2,30,1,6,4,7,1,13,1,8,1,17,1,16,1,11,1,9,1,11,1,9,1,8,1,13,2,29,1,13,1,6,2,30,1,6,2,29,2,28,4,30,1,28,1,30,1,6,1,28,1,13,1,30,3,28,1,6,2,13,1,6,3,13,1,8,1,9,1,8,1,11,1,17,1,16,1,17,1,16,1,17,2,16,1,17,2,16,2,17,1,16,2,11,1,16,2,9,1,11,1,17,1,9,1,11,2,9,1,11,1,17,1,9,1,10,1,16,1,9,5,8,1,9,2,8,1,9,1,8,1,9,1,8,1,13,2,8,2,13,1,8,1,13,1,8,2,13,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,10,1,9,1,11,1,9,3,17,1,11,1,16,1,9,2,16,1,9,1,11,1,16,1,11,2,9,1,11,1,16,1,11,1,16,2,9,1,11,1,10,1,9,1,16,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,8,1,11,1,9,1,11,2,9,1,17,1,9,2,11,1,9,3,11,1,9,1,13,1,11,1,9,1,8,1,9,4,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,6,30,3,28,4,30,1,13,1,28,16,17,2,10,1,7,1,13,1,7,1,30,1,28,16,29,1,6,1,8,1,13,1,9,1,10,1,9,1,12,1,8,1,28,2,29,1,28,1,30,1,6,2,13,1,9,1,13,1,28,43,9,1,13,1,28,3,30,1,17,2,11,1,13,1,7,1,30,1,28,1,13,5,11,1,17,1,10,1,28,6,29,1,28,10,}, {28,4,14,1,9,1,6,1,28,44,6,1,28,2,30,1,28,3,30,1,13,1,11,1,17,1,12,1,9,1,13,1,30,1,29,1,28,1,30,1,10,2,8,1,13,3,11,2,12,1,17,4,11,1,17,1,9,2,6,1,28,1,30,1,28,4,9,2,13,2,6,4,9,1,17,2,16,2,11,1,8,2,13,1,8,1,10,1,13,1,9,1,8,1,16,1,17,1,16,1,13,1,7,1,6,1,28,1,6,3,13,1,28,34,29,1,28,1,6,1,28,1,13,1,9,1,10,1,17,1,13,1,6,1,30,1,28,1,30,1,28,2,9,1,17,4,16,1,17,1,16,2,9,1,13,1,9,1,13,1,6,1,30,1,6,2,29,1,7,1,13,1,30,1,24,1,8,1,13,1,8,2,9,1,10,1,16,1,10,1,9,1,17,2,29,1,28,6,6,1,30,2,28,8,6,1,28,2,6,1,30,1,6,1,30,1,6,2,13,2,6,1,30,1,28,13,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,6,30,4,28,1,30,1,6,1,29,1,13,2,8,1,12,2,17,1,12,1,17,18,11,1,17,6,11,1,17,5,12,1,17,4,12,1,17,30,12,2,17,3,12,2,17,5,11,1,17,1,11,1,17,3,10,1,17,1,11,1,9,3,12,1,11,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,17,2,12,1,11,1,12,1,17,1,9,1,11,1,10,1,11,2,12,1,11,1,17,1,9,1,17,1,11,1,17,1,9,1,17,1,10,1,9,3,17,1,9,1,10,2,12,1,9,1,11,2,9,1,17,2,9,1,10,1,11,3,17,2,10,1,16,1,17,98,10,1,12,1,10,1,17,1,11,1,17,2,9,1,12,1,11,1,9,1,17,1,10,1,17,1,11,4,17,1,11,1,17,1,11,1,12,1,17,1,11,4,17,1,9,1,11,2,17,2,12,1,17,30,12,1,17,2,11,3,10,1,9,2,8,1,9,1,11,1,8,1,13,1,8,2,13,1,9,1,6,1,13,3,7,1,13,1,6,1,7,2,13,2,8,2,9,2,12,1,9,1,11,1,9,1,24,1,9,1,11,1,10,1,13,1,9,1,24,1,13,2,24,2,8,2,9,1,10,1,9,1,12,1,11,2,9,1,12,2,9,1,12,1,9,3,10,1,9,2,11,1,10,1,12,1,10,1,12,1,11,1,10,1,9,1,10,2,8,1,9,1,8,2,9,1,10,1,12,1,8,2,9,1,8,3,13,2,8,1,13,7,6,2,13,3,7,2,13,1,7,1,13,1,29,1,6,3,30,3,6,1,13,1,28,1,6,1,28,1,6,1,7,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,6,1,28,1,6,1,13,1,28,1,6,1,7,1,30,1,6,2,7,1,6,1,7,1,29,1,6,2,29,1,6,1,30,1,6,1,7,1,6,1,7,1,6,1,7,2,8,1,13,2,8,2,24,1,7,1,24,1,7,1,9,1,24,1,13,1,9,1,8,1,11,1,9,2,13,1,8,1,9,1,8,1,7,1,8,1,24,1,13,1,6,1,13,1,7,1,13,2,6,14,7,1,6,1,7,1,6,2,29,1,7,2,13,1,8,2,9,2,11,1,17,2,12,1,17,37,16,1,17,1,13,1,6,2,29,2,28,1,30,3,29,1,28,1,30,1,28,1,30,2,28,1,6,1,29,1,30,1,6,1,30,2,13,1,9,1,10,1,11,1,17,6,12,1,17,2,12,1,17,6,12,2,11,1,17,1,12,1,10,2,11,1,8,1,10,1,8,1,13,2,8,2,13,1,8,1,13,1,8,1,13,1,8,2,13,2,8,1,24,1,6,1,8,1,13,1,6,1,8,1,13,1,8,1,13,2,7,1,13,1,8,1,7,1,6,1,13,1,8,1,9,1,13,4,8,1,24,1,11,1,13,1,8,1,24,1,8,1,10,1,9,1,24,1,9,1,12,1,8,1,12,1,9,1,6,1,30,1,28,1,29,1,6,1,30,3,28,4,30,1,28,3,13,1,6,1,28,2,30,1,28,2,30,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,29,1,30,3,28,1,30,2,28,1,30,1,28,4,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,2,30,1,13,1,30,1,28,1,30,1,28,3,30,2,28,2,30,2,28,5,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,7,6,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,7,30,1,28,5,29,1,28,1,30,1,6,1,13,2,28,11,30,1,28,9,30,4,28,4,30,3,28,1,30,1,28,1,30,7,6,1,30,1,6,1,30,1,6,1,13,1,7,1,28,1,30,1,28,1,30,1,28,6,30,2,8,2,6,3,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,6,1,30,1,28,2,30,1,28,1,30,2,28,1,30,3,28,4,30,1,28,9,30,1,28,5,30,1,28,1,6,1,28,1,30,2,28,2,30,3,28,1,30,2,28,2,6,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,6,2,30,1,28,1,30,2,28,3,30,1,28,15,30,1,17,1,8,1,13,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,6,30,1,28,6,30,1,28,1,30,1,7,1,6,1,28,7,30,1,28,10,30,3,28,2,30,1,28,1,30,3,28,1,6,1,30,1,28,2,30,1,28,1,30,3,28,2,30,2,28,4,30,1,29,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,7,1,28,1,30,2,6,1,28,6,30,2,6,1,30,1,28,1,30,1,6,2,30,2,6,2,30,2,28,2,30,2,28,2,30,4,28,1,29,1,30,1,6,1,13,1,6,1,28,1,30,1,28,4,30,1,28,2,30,2,28,5,17,2,28,1,30,1,28,4,30,1,28,4,30,1,28,3,30,1,28,5,30,3,28,2,30,1,28,8,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,10,30,2,6,1,8,1,12,1,17,2,9,3,10,1,24,1,25,1,26,4,29,1,24,1,12,1,17,1,11,1,17,2,11,1,17,2,11,1,12,1,10,1,11,1,10,1,17,1,12,1,9,1,17,1,9,1,11,1,9,1,10,1,8,1,9,1,11,1,9,2,11,2,9,3,11,2,9,1,17,1,11,1,10,1,9,1,11,1,17,1,9,2,17,2,12,1,10,1,9,1,13,3,8,1,13,1,9,1,13,1,24,2,13,1,6,1,27,1,29,3,30,1,28,27,8,1,9,1,30,1,28,1,29,1,30,2,28,4,30,3,28,3,30,1,28,2,30,1,28,2,30,1,28,3,13,1,28,1,6,1,30,3,28,1,30,2,6,1,30,1,6,3,30,2,6,2,13,1,6,3,13,2,30,1,9,1,13,1,7,1,13,4,6,1,13,3,7,1,13,3,6,1,13,5,8,1,13,1,8,1,9,1,13,3,8,1,13,1,8,1,13,3,8,1,13,1,6,1,8,2,7,1,13,3,11,1,16,1,17,9,12,1,9,1,10,1,8,1,9,1,13,4,9,1,13,2,6,1,13,12,6,1,13,1,6,2,30,2,29,1,6,1,30,1,7,1,6,5,7,1,13,1,29,1,30,1,6,3,30,1,7,1,30,1,7,1,6,1,29,1,6,5,13,1,7,1,6,1,13,1,30,1,13,2,6,6,13,1,29,1,6,1,29,1,6,3,7,1,13,3,9,1,8,1,13,1,6,3,30,2,6,1,30,3,6,1,30,4,28,2,30,3,28,2,30,2,29,1,30,3,6,3,13,1,6,2,7,1,13,2,6,1,13,1,6,2,13,2,6,1,13,1,7,1,8,1,13,1,8,1,13,2,8,1,13,1,9,2,13,1,8,1,13,2,7,1,8,1,7,1,8,2,13,2,8,1,13,2,9,2,13,1,9,2,13,2,9,5,8,1,9,2,10,2,11,1,10,1,12,1,17,6,11,1,9,1,8,1,9,1,10,1,8,2,9,2,13,1,8,1,13,1,9,1,8,1,9,3,8,1,9,1,16,1,10,1,16,1,17,1,16,1,17,1,16,1,17,6,16,2,17,34,10,1,8,1,9,2,13,1,9,4,8,1,10,1,9,3,13,1,8,1,11,1,8,3,13,2,9,1,8,1,13,1,8,1,16,1,9,2,11,1,12,1,11,1,10,1,17,1,16,1,17,2,11,1,17,4,10,1,11,1,17,1,11,1,12,1,16,1,12,1,16,1,11,2,17,1,11,1,9,1,11,1,9,3,17,12,16,1,11,1,9,1,11,2,9,2,10,1,8,1,12,1,9,2,10,1,9,1,11,2,8,3,9,3,13,1,10,2,9,1,13,1,9,1,10,1,9,2,8,4,13,1,8,1,13,3,30,1,7,1,29,1,6,1,30,2,13,1,7,1,13,1,17,2,10,1,9,1,10,1,9,1,8,2,13,1,7,1,6,2,30,2,6,1,30,1,6,1,28,1,30,1,28,5,30,5,6,1,7,2,6,2,13,8,9,1,17,1,16,3,17,2,12,1,17,1,16,2,17,1,11,1,17,1,16,2,9,1,16,1,11,6,9,1,11,1,9,1,16,1,10,1,11,3,9,1,11,1,8,1,9,1,12,1,9,1,11,1,9,2,11,1,9,3,8,2,13,1,8,4,9,1,13,4,8,2,13,2,8,1,9,1,10,1,13,1,16,1,9,1,10,1,9,1,10,1,9,5,11,2,9,3,10,1,9,1,16,1,17,1,11,1,10,1,9,2,11,2,9,1,11,1,10,1,9,9,8,1,9,1,8,1,9,9,8,2,9,4,11,3,9,2,6,1,28,1,30,3,28,1,30,1,28,3,29,1,30,1,28,3,30,1,28,2,30,1,28,1,6,1,28,4,30,3,28,16,17,2,11,1,13,2,29,1,28,1,6,2,28,12,30,3,8,1,13,2,8,1,12,1,9,1,11,1,13,1,28,3,29,1,28,3,13,1,9,1,29,1,30,1,28,42,6,1,29,1,30,1,28,2,13,1,17,2,8,1,30,1,29,1,6,1,29,1,24,1,8,1,13,2,9,1,10,1,17,1,11,1,28,6,6,2,28,9,}, {28,4,14,1,13,1,28,28,30,1,28,10,30,1,28,4,29,1,7,1,30,1,28,1,30,1,28,3,6,1,13,1,11,1,17,1,12,1,8,1,13,1,28,1,6,1,30,1,28,1,24,1,11,1,9,1,8,2,13,1,12,1,11,1,17,5,9,1,17,1,13,1,8,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,9,1,15,1,13,1,29,1,6,1,29,1,6,2,10,1,17,5,6,1,9,1,8,1,13,1,8,1,13,1,9,1,13,1,16,1,17,1,16,1,9,1,8,1,30,2,28,1,6,1,13,2,28,36,30,2,13,2,9,2,8,1,30,3,28,1,29,1,28,1,13,1,17,5,11,1,17,1,16,1,9,1,13,4,6,1,29,3,6,1,29,1,13,2,6,1,8,1,11,2,12,1,16,1,11,1,17,1,11,2,17,1,6,1,28,2,30,1,6,1,29,1,28,2,29,1,28,9,13,1,30,1,28,1,30,1,7,1,6,3,8,2,13,1,6,1,30,1,28,15,30,1,28,4,30,1,28,2,30,1,28,6,30,1,28,2,30,1,29,1,6,1,13,1,8,2,9,1,12,1,11,1,17,1,9,1,17,1,11,1,17,34,12,1,17,3,11,1,17,26,12,1,17,3,11,1,17,7,12,1,11,1,17,1,11,1,17,3,12,1,11,1,17,5,12,1,17,1,11,2,12,1,17,1,11,1,17,4,12,1,11,1,10,1,11,1,17,1,11,1,12,1,17,1,12,3,10,3,11,1,10,1,12,1,11,2,9,1,10,3,12,1,17,1,11,2,10,1,9,2,12,1,10,2,9,2,8,1,17,2,11,1,12,1,16,1,17,19,16,1,17,75,11,1,10,1,9,2,11,1,9,2,11,1,10,1,11,3,17,1,11,1,17,1,11,1,17,1,10,1,17,1,11,1,17,1,11,1,17,1,12,1,11,1,12,2,11,2,12,1,17,2,11,1,17,1,12,1,17,35,11,1,9,1,10,1,11,1,9,1,12,1,10,1,11,1,13,4,8,1,13,4,6,1,13,1,7,3,6,1,13,2,8,3,24,1,9,2,8,1,13,2,9,1,8,2,13,2,7,1,13,4,24,1,13,1,24,1,9,2,10,3,11,1,9,2,12,1,10,1,8,1,10,1,12,1,11,1,9,1,11,2,12,1,10,1,12,1,9,2,12,1,9,1,11,1,8,1,9,1,13,1,9,1,24,1,9,1,10,2,9,1,24,1,10,1,9,1,13,1,24,1,8,1,13,3,7,1,13,1,7,1,8,1,13,1,6,1,13,1,7,1,13,2,7,1,6,6,30,1,6,1,30,1,6,2,29,1,30,2,28,1,29,2,6,1,30,1,7,1,29,2,6,1,30,1,29,1,6,1,30,1,29,1,28,1,29,1,28,1,30,1,6,2,29,1,30,1,29,1,6,1,29,1,7,2,6,2,29,4,6,1,30,1,7,2,6,1,7,1,13,1,7,2,13,1,6,1,13,1,24,1,8,2,13,1,24,1,13,1,10,1,9,2,13,1,24,1,13,1,8,1,13,2,24,1,8,1,13,3,6,1,7,2,29,1,6,3,30,2,6,5,30,3,6,2,7,1,6,1,29,1,7,1,13,1,29,1,6,2,13,2,8,2,9,1,17,2,12,1,17,37,16,1,12,1,9,1,6,1,30,2,6,1,30,2,29,1,30,6,29,1,30,1,6,4,13,1,6,1,13,1,11,2,17,19,12,1,17,1,11,2,10,1,9,2,13,1,24,2,9,1,13,1,24,1,13,1,8,1,13,3,8,1,13,1,8,2,13,2,7,1,13,3,8,1,7,1,13,2,8,1,13,2,8,2,13,1,7,1,8,1,7,1,24,1,13,1,8,1,13,2,8,2,9,1,13,1,24,1,8,1,9,1,24,1,10,1,9,3,10,1,17,1,6,1,30,2,6,1,30,3,28,2,30,3,28,3,30,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,3,6,1,30,3,28,1,6,1,30,3,28,1,30,1,6,1,28,1,30,2,28,1,30,2,29,1,28,3,30,1,28,3,30,1,28,3,6,2,28,6,30,1,28,1,30,1,28,6,30,1,28,4,30,1,28,1,30,1,6,1,30,1,28,3,29,1,30,1,29,1,30,3,28,1,30,2,6,1,28,1,30,4,28,2,30,1,28,1,30,1,28,3,30,1,28,9,30,3,28,2,13,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,6,30,1,28,3,30,4,28,1,30,1,6,1,28,1,30,1,28,2,30,4,28,2,30,3,29,2,30,2,28,1,7,1,13,1,7,1,13,1,28,1,30,1,28,2,30,2,28,6,30,1,8,1,13,1,6,1,7,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,4,30,4,28,1,30,1,28,1,30,2,6,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,2,30,1,28,5,30,2,29,1,28,1,30,1,28,1,30,5,28,1,30,1,28,1,30,1,28,4,30,2,28,4,30,1,28,4,30,1,28,4,30,1,28,3,30,1,28,3,30,2,28,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,7,30,1,6,1,30,1,28,3,30,3,28,2,30,2,28,11,30,1,13,1,17,1,13,1,30,1,28,2,30,2,28,1,30,1,28,2,30,2,28,1,30,4,28,7,30,1,28,2,30,2,28,2,30,3,28,3,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,7,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,9,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,2,6,1,30,1,6,1,30,2,29,1,6,1,28,1,30,1,6,2,28,2,30,1,28,2,6,1,30,1,28,2,30,1,6,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,3,16,1,17,1,6,1,28,3,30,1,28,5,30,1,28,8,30,1,28,6,30,1,28,5,30,1,28,9,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,8,30,1,28,1,13,1,24,1,12,1,17,2,24,2,9,1,10,1,13,1,25,1,26,1,25,1,8,1,25,1,7,1,17,4,16,1,17,3,16,1,11,1,17,1,11,1,17,1,11,1,17,1,12,1,11,1,9,1,13,1,9,1,8,2,9,2,11,1,13,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,8,1,10,1,11,1,17,1,11,1,17,2,9,1,8,1,9,1,10,1,11,1,9,1,11,1,9,1,8,2,6,1,7,1,13,3,8,1,9,1,6,1,25,1,27,2,29,2,28,6,30,1,28,17,30,2,28,2,11,1,8,1,7,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,2,30,2,28,1,6,1,30,1,28,2,30,1,8,1,6,1,28,2,6,1,30,1,28,1,29,2,6,2,28,1,30,1,29,2,6,1,13,1,6,1,28,1,6,2,29,1,13,1,30,1,13,1,6,1,13,5,7,1,8,1,6,1,13,1,6,1,13,2,7,1,13,2,7,1,6,1,8,1,13,1,8,1,13,1,8,2,13,2,8,1,13,1,8,4,9,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,3,13,1,9,1,16,1,17,6,12,1,17,1,11,1,17,1,9,3,8,1,9,1,13,1,9,2,7,1,13,1,8,2,9,1,13,1,8,2,13,1,8,1,13,2,8,1,13,2,8,1,6,1,7,1,6,1,13,1,30,3,28,2,30,2,13,1,6,3,13,1,29,1,6,1,13,1,6,2,13,1,6,1,7,1,6,3,7,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,13,1,7,1,6,1,7,1,29,1,13,1,30,1,6,1,13,1,6,2,13,1,29,1,13,1,6,1,13,5,9,1,13,1,6,1,30,2,6,1,30,4,29,2,30,2,28,1,30,6,6,1,30,1,28,1,6,1,30,1,6,1,7,1,6,1,30,1,29,1,6,1,7,1,6,2,8,1,6,1,29,1,6,3,13,1,7,1,13,1,6,1,13,2,9,1,13,1,8,1,13,2,8,1,9,2,8,1,6,1,8,1,7,1,13,9,8,1,13,2,9,5,8,2,9,1,13,1,9,3,8,1,9,1,11,1,10,2,9,1,11,1,17,7,13,1,9,2,8,1,9,3,8,2,9,3,8,1,9,1,13,1,9,1,10,1,9,1,10,1,11,1,17,44,11,1,9,1,11,2,9,3,8,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,8,3,13,3,8,1,13,1,7,1,8,1,9,3,8,1,12,1,10,1,12,1,9,1,17,1,12,1,9,1,10,1,11,1,17,2,12,1,17,4,11,1,10,1,17,1,16,1,9,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,17,1,9,2,17,10,16,1,11,1,17,1,9,1,11,1,9,2,11,1,9,2,10,1,9,1,8,1,12,1,8,1,11,1,9,2,16,1,9,1,8,1,9,1,10,1,11,1,10,1,9,1,8,1,9,1,10,1,9,1,8,1,9,3,13,1,9,1,13,4,7,1,6,1,30,1,6,3,30,1,6,2,13,1,17,1,9,1,11,1,10,1,9,2,13,3,6,4,30,2,28,1,30,1,28,1,30,1,28,7,30,1,6,1,30,4,6,2,28,2,29,1,28,1,6,1,13,1,8,1,9,2,16,1,17,1,11,1,16,1,17,5,11,1,9,1,10,1,11,2,12,1,10,1,9,1,10,1,11,1,9,8,8,1,11,1,8,2,9,1,8,1,11,1,9,4,8,1,9,1,10,1,8,1,9,1,8,1,9,1,8,1,16,1,10,1,9,2,8,1,9,1,8,1,9,3,8,1,9,4,8,1,10,1,9,1,10,1,9,2,13,2,9,1,11,1,9,9,8,1,9,1,10,1,8,1,11,2,9,1,10,1,9,6,8,1,9,1,8,3,13,3,9,1,8,1,9,1,8,1,13,1,8,5,13,1,11,1,8,1,9,2,8,1,9,1,10,2,16,2,9,1,6,1,28,8,30,1,28,1,30,1,28,4,30,1,28,2,30,3,28,1,30,1,28,20,17,2,9,1,13,1,30,1,6,1,30,1,28,15,29,2,13,3,10,1,11,1,10,1,11,1,9,1,28,5,30,1,28,1,13,1,9,1,28,44,8,1,30,1,28,3,6,1,17,2,10,1,8,1,30,1,28,1,30,1,8,2,13,2,8,1,10,1,17,1,10,1,28,6,6,2,28,9,}, {28,4,8,1,11,1,28,44,29,1,6,1,28,7,13,1,11,1,17,1,16,1,13,1,30,1,28,2,30,1,6,1,8,1,17,1,16,1,13,3,9,1,12,1,17,1,16,1,17,3,16,2,11,1,13,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,9,1,17,1,7,1,6,1,30,1,29,1,30,2,13,1,17,3,16,1,11,1,9,1,13,1,8,2,9,1,13,1,9,1,8,1,16,1,17,1,16,1,8,1,13,2,28,1,30,1,7,1,6,1,13,1,28,37,30,1,8,1,13,1,9,1,12,1,8,1,28,5,30,1,7,1,10,1,17,4,16,1,17,1,11,1,9,1,13,2,7,1,13,1,29,1,30,2,13,1,6,1,29,1,30,1,7,1,24,1,13,1,9,1,8,1,12,2,17,1,16,1,17,3,8,1,13,1,6,1,28,7,30,1,28,7,8,1,13,2,8,1,13,2,10,1,8,2,9,2,6,1,28,21,30,1,28,1,30,1,28,10,30,1,7,1,6,1,7,1,13,1,8,1,9,1,11,1,12,2,17,14,12,1,17,31,12,1,17,23,11,1,17,3,12,1,17,3,12,1,17,6,12,1,17,1,12,1,17,1,11,1,17,3,11,1,17,1,11,1,17,1,12,2,17,1,10,1,17,1,11,2,10,1,11,1,17,1,8,1,12,3,17,2,12,1,17,1,12,1,9,1,12,1,10,1,11,2,9,1,11,1,9,1,24,1,10,2,17,1,10,4,12,1,11,1,9,1,11,1,10,1,9,2,11,2,8,1,9,2,11,1,12,1,10,1,16,1,11,1,17,91,11,1,12,1,16,1,9,1,10,1,12,1,9,1,10,1,11,1,17,1,10,2,17,1,11,3,17,1,12,1,17,1,11,1,9,1,11,2,17,1,11,3,12,1,11,1,17,2,11,1,17,40,12,1,17,2,11,1,12,1,9,1,10,1,13,1,24,1,13,1,24,1,13,3,7,1,6,1,7,4,6,3,7,2,13,2,9,1,8,1,13,1,24,1,8,5,6,1,13,6,8,2,24,1,9,4,11,1,9,1,17,1,8,1,10,1,11,2,10,1,12,2,11,1,10,2,12,1,9,1,10,1,11,1,9,1,11,1,9,1,8,1,10,1,8,3,9,1,8,1,10,1,9,1,8,1,11,1,13,1,9,2,13,1,8,1,13,2,7,2,9,1,13,1,6,3,8,1,7,2,6,1,13,1,6,1,29,3,30,1,6,1,29,1,6,2,29,1,30,1,28,1,6,1,30,2,6,1,29,1,30,1,29,1,30,1,29,1,30,2,29,1,6,2,30,1,6,1,30,3,6,2,29,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,13,1,30,2,6,1,30,2,29,1,6,3,29,1,7,1,6,1,7,1,13,1,7,1,13,6,8,2,13,1,6,1,8,2,9,1,13,2,8,2,13,1,7,2,13,1,7,1,13,2,6,7,7,1,30,4,6,2,29,2,6,3,29,1,30,2,7,4,6,1,8,1,9,2,12,2,17,39,16,1,8,1,6,3,30,9,29,1,30,2,29,1,30,1,6,1,7,1,30,1,13,1,9,2,17,1,11,1,17,1,11,1,17,11,12,1,17,3,12,1,9,1,12,1,10,1,9,1,11,1,8,1,11,1,8,1,11,1,8,2,13,1,8,2,24,1,13,2,6,1,8,1,13,1,7,1,13,1,8,1,24,1,6,1,7,4,13,2,8,1,13,2,24,1,8,1,13,1,8,1,13,2,7,1,8,1,7,1,24,1,13,1,9,2,8,1,9,1,13,1,24,1,9,1,24,1,9,3,8,1,11,2,16,1,6,1,30,1,6,1,30,1,29,1,30,3,28,1,30,1,28,1,30,3,28,2,6,2,30,3,28,1,30,2,6,1,30,2,6,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,2,28,8,30,1,28,3,30,1,28,5,30,1,13,1,28,7,29,1,28,6,30,1,28,3,30,1,28,5,30,1,28,1,30,5,28,2,30,1,28,1,30,4,28,2,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,3,30,3,28,1,30,2,28,5,6,2,28,4,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,4,30,3,28,3,30,1,28,1,30,1,28,1,30,6,28,2,30,1,6,1,30,1,7,1,30,1,28,1,30,2,28,1,30,2,28,3,30,1,28,1,30,2,8,1,13,1,6,1,28,2,6,1,30,2,28,1,30,1,28,2,6,1,28,1,6,1,30,1,28,1,30,3,28,1,30,1,28,4,30,1,28,3,30,4,28,1,30,4,28,4,30,2,28,1,6,2,30,1,6,1,30,1,29,1,6,1,29,1,30,2,28,1,6,1,30,3,28,1,30,1,28,1,30,1,28,3,30,2,28,6,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,6,1,13,1,28,4,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,8,30,1,28,9,6,1,9,1,11,1,13,1,28,5,30,1,28,2,30,3,28,5,30,2,6,1,28,1,30,2,28,4,30,2,28,2,30,1,28,2,30,2,28,1,30,1,28,3,30,3,28,2,6,1,28,3,30,4,28,1,30,1,28,2,30,2,28,3,30,3,28,3,6,2,29,1,28,1,30,1,28,1,30,1,28,6,30,2,6,1,30,2,29,1,30,1,6,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,3,30,1,28,1,30,3,28,2,30,2,28,1,30,1,13,2,29,1,30,2,28,1,13,2,6,1,28,8,30,1,28,2,30,1,28,1,30,1,28,11,30,1,28,2,30,2,13,1,17,1,11,1,28,2,30,1,28,3,30,1,28,1,30,1,28,15,30,1,28,4,30,1,28,1,30,1,28,11,30,1,28,4,30,1,28,1,30,2,28,4,30,1,28,1,30,1,28,4,30,1,13,1,9,1,17,2,12,1,24,2,17,1,8,1,24,1,8,1,27,1,25,2,6,1,8,1,11,1,17,2,11,1,16,1,11,3,17,1,12,1,17,2,11,1,17,1,11,1,9,1,17,2,9,1,11,1,10,1,8,1,13,1,11,1,9,1,11,1,9,1,11,1,10,1,9,4,11,2,8,1,9,2,17,1,11,1,9,1,11,2,9,2,10,2,8,1,9,1,13,3,8,1,6,1,24,1,13,1,7,2,29,1,27,1,8,1,29,1,30,1,28,27,30,1,16,1,17,1,6,1,30,3,28,5,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,1,6,1,13,2,6,1,30,1,29,1,6,1,30,5,29,1,30,1,6,3,29,1,6,3,13,1,6,1,13,1,6,1,13,1,6,1,8,1,13,4,9,1,13,8,7,1,13,4,8,1,13,1,7,1,13,7,8,1,9,2,13,1,9,1,13,1,9,1,13,4,9,1,13,3,8,3,9,1,11,1,17,9,10,1,9,1,11,1,9,2,8,1,9,1,8,4,13,1,8,3,13,1,9,1,13,3,8,1,6,1,13,1,7,1,13,1,6,1,29,1,6,3,30,1,29,1,6,4,30,2,6,4,30,2,6,2,7,1,6,1,13,2,6,1,13,3,6,2,13,3,6,1,13,2,7,1,6,1,13,1,6,1,13,1,29,1,6,1,13,1,6,4,13,6,10,1,8,1,13,1,6,1,30,1,28,2,30,1,6,4,30,4,28,1,30,1,29,1,30,1,28,1,6,1,30,2,28,1,6,1,28,1,30,1,6,3,30,1,13,1,6,2,30,2,6,2,13,2,8,1,13,2,8,1,13,1,9,2,8,1,13,1,6,1,13,1,8,2,13,6,7,1,13,2,9,1,6,1,13,9,9,1,13,2,8,1,9,1,8,2,9,1,8,1,13,1,10,1,13,1,11,1,12,1,11,1,12,1,11,1,12,1,17,5,9,3,8,1,9,2,8,1,9,3,13,1,9,1,8,2,9,1,8,2,9,1,11,1,12,1,16,1,17,11,16,1,17,30,16,1,11,1,8,1,9,2,8,2,10,1,9,2,13,2,8,2,9,1,13,5,8,1,13,1,9,1,8,1,7,1,13,2,8,1,13,1,8,1,13,1,9,2,8,1,10,2,12,1,11,2,10,1,12,1,17,1,11,1,17,1,11,1,12,1,8,1,17,1,11,1,17,1,16,1,17,1,12,2,11,2,16,1,9,1,11,3,10,1,11,1,10,2,17,7,11,1,9,1,11,2,12,1,9,1,10,1,9,4,11,1,9,2,12,1,11,1,9,2,11,1,12,2,10,1,9,5,11,1,9,2,8,1,9,1,8,4,6,3,8,1,13,2,6,1,7,1,13,1,6,2,30,2,29,1,30,2,8,1,17,2,16,1,9,1,8,1,11,1,13,3,6,3,30,2,6,1,30,2,6,1,28,8,30,1,28,3,30,2,7,1,6,5,13,1,8,1,9,1,13,1,9,1,17,2,11,3,16,3,11,1,17,1,12,1,11,1,10,1,16,1,10,2,11,1,9,1,11,1,10,1,11,1,10,1,9,1,8,1,11,1,12,1,9,2,11,1,13,1,8,3,9,2,8,1,9,1,13,2,6,1,8,1,13,1,16,1,8,1,9,1,8,5,13,2,9,3,8,2,13,1,8,1,9,1,13,1,8,2,9,1,8,1,6,1,9,3,8,1,9,1,8,1,9,2,13,1,9,1,8,2,9,2,10,1,9,4,11,1,13,1,8,1,9,1,8,1,9,2,8,1,9,2,13,1,9,1,8,3,13,2,9,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,8,1,10,1,8,1,9,1,13,2,9,1,8,1,9,3,10,1,11,2,6,1,28,2,30,2,28,2,30,3,28,9,30,1,28,7,30,1,28,16,17,2,8,2,29,1,28,1,7,1,6,1,28,14,30,1,6,1,13,3,8,1,9,1,16,1,9,1,8,1,28,1,30,1,28,4,6,1,13,1,9,1,30,1,28,43,8,1,30,1,28,3,13,1,17,1,11,1,10,1,28,4,6,1,29,1,6,2,10,1,11,1,17,1,13,1,28,7,13,1,28,9,}, {28,3,30,1,8,1,17,1,29,1,28,27,29,1,28,14,6,1,7,1,28,1,30,1,28,2,30,1,28,3,7,1,10,1,12,1,17,1,9,1,6,1,8,2,6,1,30,1,9,1,17,1,9,1,7,1,13,1,7,1,9,1,11,1,9,1,16,1,17,1,16,1,17,1,16,1,17,1,9,1,13,1,30,1,6,1,30,1,28,4,9,2,8,1,13,1,30,2,29,1,6,2,17,3,9,3,13,1,9,1,13,1,9,2,11,1,12,1,9,1,17,2,9,1,30,1,13,1,30,1,28,1,29,1,30,1,6,1,28,37,29,1,7,1,13,1,8,1,17,1,13,1,28,1,30,3,28,2,13,1,16,1,17,5,16,1,11,1,8,1,9,1,13,3,6,1,13,1,29,1,30,1,29,1,6,1,7,1,6,1,13,2,24,1,13,1,10,1,9,1,17,1,10,1,17,3,8,1,28,17,16,1,17,1,10,1,9,4,13,1,8,1,9,1,8,1,13,1,6,1,28,16,30,1,28,1,30,2,28,4,30,1,28,9,6,2,8,2,13,1,8,1,9,1,17,70,12,1,17,2,11,1,17,2,12,1,17,6,11,1,12,1,17,7,11,1,17,4,10,1,12,1,17,1,12,1,17,1,10,1,11,1,12,2,10,1,12,1,11,1,12,3,17,2,12,1,11,2,17,1,11,1,12,1,17,1,24,1,10,2,12,3,9,2,10,1,17,1,9,1,11,3,9,4,10,1,17,1,8,1,9,1,12,1,11,1,12,1,11,3,17,1,11,1,12,1,17,15,16,1,11,1,17,72,12,1,11,2,10,1,11,2,9,1,17,1,11,1,10,1,11,1,10,1,9,2,10,1,11,1,17,1,11,1,12,4,10,1,9,1,11,1,12,1,9,1,17,1,11,1,10,1,12,1,17,2,12,1,17,1,11,1,17,36,10,1,11,2,9,1,11,1,9,2,7,1,13,1,8,2,13,1,8,1,6,1,13,1,7,1,13,1,6,1,29,1,7,2,13,1,6,2,7,2,6,1,7,1,8,2,9,1,13,2,7,1,8,1,24,1,8,3,13,2,6,1,13,2,8,1,24,1,13,1,10,1,24,1,10,1,9,1,11,2,10,1,12,1,11,1,9,1,11,2,12,1,10,1,9,2,12,1,11,1,12,1,11,1,10,1,9,1,11,1,13,1,9,1,24,1,13,1,9,1,8,1,9,1,8,2,9,1,13,1,9,2,24,1,8,1,7,1,9,1,13,5,6,1,13,1,24,1,13,1,8,1,7,1,13,1,29,1,7,1,29,1,6,2,7,1,29,1,6,1,29,1,6,2,29,1,30,1,29,1,6,1,30,2,28,1,6,1,29,1,28,2,6,1,7,1,30,1,28,1,6,1,29,1,30,2,6,1,30,1,29,2,30,1,6,1,30,1,6,1,28,1,29,1,28,1,6,2,30,1,7,1,6,2,30,2,6,1,7,1,30,1,7,1,29,1,6,3,13,1,7,2,13,2,6,1,13,1,7,1,13,4,7,1,13,6,7,1,6,1,8,1,6,1,13,1,6,1,30,1,6,2,29,2,6,1,29,1,30,2,6,2,29,1,30,1,29,1,30,3,6,4,7,1,29,1,6,3,7,1,13,1,7,1,24,1,9,2,17,1,12,1,11,1,17,39,9,1,30,3,6,1,30,2,6,1,30,2,28,1,30,1,6,1,30,2,29,1,30,2,13,1,30,1,13,1,9,2,17,2,12,1,17,1,11,1,17,13,10,1,11,2,10,1,9,1,12,1,10,2,13,4,24,1,8,3,24,2,10,1,13,1,7,1,17,1,13,3,8,1,13,2,8,1,7,1,8,1,13,4,6,1,8,1,29,1,13,2,24,2,13,4,24,1,7,1,8,1,9,1,13,2,8,1,24,1,8,2,9,1,10,1,9,3,17,1,6,1,30,1,7,1,30,2,6,1,30,3,28,1,30,1,28,1,30,1,28,3,6,1,30,4,28,1,30,3,28,1,30,1,6,1,30,5,28,1,30,1,28,2,30,3,28,2,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,2,30,1,13,1,6,1,28,10,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,3,30,1,28,1,6,1,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,3,30,2,6,1,30,2,28,2,30,1,28,1,30,2,28,1,30,3,28,4,30,1,28,9,30,2,28,2,6,1,30,1,28,2,30,3,28,1,30,2,6,2,30,2,29,1,30,7,13,1,6,1,28,1,30,1,28,1,6,1,28,5,30,1,28,2,29,1,13,2,29,1,30,1,28,4,30,2,28,1,30,1,29,2,28,7,30,5,28,1,30,1,28,1,30,2,28,1,30,2,28,1,6,1,30,2,28,3,30,1,28,4,6,1,30,2,28,1,30,2,28,1,30,1,29,2,28,1,29,1,30,3,28,1,30,2,28,1,30,1,28,3,30,2,28,1,30,2,28,1,30,2,28,1,30,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,13,2,30,1,29,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,20,6,1,13,1,9,1,13,1,28,5,30,1,28,4,30,1,28,1,30,4,28,4,30,1,28,2,30,1,28,1,30,3,28,1,30,4,29,1,28,2,30,1,28,7,30,2,28,1,30,1,28,6,30,2,28,2,30,2,28,1,30,1,28,2,30,2,28,1,30,3,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,6,30,4,28,1,30,3,28,2,13,1,28,2,30,1,28,1,30,5,28,1,6,1,30,1,13,1,6,1,30,1,28,1,30,1,28,1,30,1,6,2,28,1,6,1,28,1,30,1,28,8,30,3,6,1,28,2,30,1,28,9,6,1,30,1,13,2,28,2,30,1,28,1,6,1,28,5,30,1,28,35,30,2,28,2,30,1,28,1,30,2,28,1,30,3,28,5,6,1,29,1,8,1,10,1,17,1,12,2,10,2,24,1,8,1,26,1,8,1,26,1,25,2,6,1,8,1,12,1,17,4,16,1,17,4,10,1,17,4,11,1,17,1,10,1,9,1,8,1,9,1,8,1,17,1,9,1,13,1,11,1,9,1,11,1,9,1,12,1,9,1,10,1,11,1,13,1,9,1,11,1,9,4,11,1,12,2,11,3,13,1,9,1,10,1,13,1,9,1,24,1,6,1,13,2,8,2,7,1,6,1,29,1,25,1,6,1,30,1,28,6,29,1,28,1,30,1,28,16,30,1,28,1,6,1,17,2,13,1,30,1,6,1,28,3,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,13,2,30,1,28,2,30,2,6,1,30,1,6,1,30,4,6,2,30,1,7,1,30,1,6,1,7,1,6,3,29,1,13,1,7,1,13,4,7,1,9,1,13,1,7,2,13,2,7,1,13,1,9,1,13,3,6,1,13,1,30,1,8,1,13,2,9,1,13,1,8,3,9,1,8,2,9,1,11,1,9,1,13,2,8,2,9,3,8,1,13,5,9,2,11,1,17,8,11,2,10,1,9,1,8,1,9,1,11,1,24,1,9,1,13,1,8,1,9,1,8,2,13,1,9,1,13,1,8,1,9,1,8,1,13,3,7,1,6,2,13,2,6,1,29,2,6,1,30,1,6,3,30,1,6,2,30,1,6,1,7,1,13,3,6,2,13,1,6,6,7,1,13,2,7,1,13,3,6,1,13,2,6,1,13,1,6,1,30,1,13,1,6,4,29,1,13,1,7,1,13,1,7,1,8,2,11,1,8,1,30,1,28,1,30,2,6,1,28,1,13,1,29,1,28,1,6,1,30,2,28,1,6,1,30,2,28,1,30,2,6,1,30,1,6,1,29,1,30,2,6,1,30,2,6,1,30,1,13,1,30,2,6,1,29,1,7,1,6,1,29,1,8,1,13,3,8,1,13,1,8,1,13,1,7,1,13,2,6,1,13,2,6,1,7,1,13,1,7,1,13,2,9,1,13,5,6,1,13,3,8,2,13,3,9,2,13,1,10,1,9,3,8,1,9,2,8,1,12,1,9,1,11,1,10,1,12,1,17,5,11,1,9,1,8,1,9,3,8,1,9,1,8,2,12,1,9,2,13,1,8,1,9,1,11,2,12,1,17,44,11,1,9,1,10,1,9,2,13,1,9,2,13,1,8,2,9,2,13,7,8,1,13,2,7,1,13,3,8,1,13,1,9,1,13,3,9,3,13,1,17,1,9,1,10,2,9,1,12,3,11,1,17,2,11,1,12,3,16,1,12,1,11,1,17,1,9,1,12,2,10,1,11,2,17,2,11,1,10,1,17,1,11,2,17,7,11,1,9,1,11,1,9,5,12,1,17,1,11,1,10,1,9,4,16,1,9,1,16,1,9,3,10,1,9,2,8,1,9,1,8,1,9,3,8,1,13,1,8,3,13,3,8,1,7,1,29,1,6,2,29,1,30,1,6,3,8,1,16,1,17,1,10,1,11,1,8,1,9,1,13,1,7,1,6,1,7,2,6,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,13,6,1,30,2,6,2,13,3,8,1,9,1,17,3,16,1,17,3,16,1,17,1,16,1,11,1,16,1,11,1,9,1,10,1,11,2,8,1,16,1,9,2,8,1,11,1,9,2,8,1,11,1,9,3,10,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,9,2,13,1,11,1,8,1,9,1,8,2,13,2,9,2,8,2,13,1,8,3,13,1,8,1,13,1,8,1,9,2,13,1,9,1,13,3,8,1,13,1,9,2,8,1,9,1,13,1,8,1,9,1,13,1,9,2,10,1,9,3,8,1,9,5,8,1,9,2,8,1,9,1,13,1,9,2,13,1,8,1,9,1,13,1,8,1,13,1,8,2,13,1,9,2,8,3,13,1,8,6,9,2,16,2,9,1,30,1,28,3,30,1,28,11,30,3,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,16,30,1,17,2,9,1,13,2,6,1,13,1,28,15,7,1,30,1,8,1,13,1,8,1,9,2,16,1,12,1,9,1,28,4,30,1,28,1,29,1,13,1,9,1,30,2,28,42,13,1,28,4,8,1,17,2,8,1,7,1,28,2,30,1,6,2,7,1,6,1,13,1,17,2,9,1,28,6,13,1,30,1,28,9,}, {30,2,28,2,9,1,17,1,28,45,6,2,28,1,30,1,28,4,13,1,9,1,17,1,11,1,24,1,9,1,8,2,13,1,7,2,17,1,9,1,13,2,6,1,9,1,17,2,16,1,12,1,17,3,14,1,9,2,29,1,28,1,13,1,6,1,28,1,6,1,28,1,24,1,12,1,24,1,6,2,13,2,28,1,8,1,17,1,16,1,17,1,16,1,9,1,13,2,8,1,10,1,9,3,12,1,11,1,17,2,9,1,6,1,7,1,30,1,28,1,30,1,6,1,13,1,28,36,30,1,6,1,8,2,10,1,17,1,9,1,29,1,28,4,29,1,30,1,17,6,16,1,11,1,7,1,13,1,9,1,6,1,13,1,29,1,6,1,7,1,29,1,6,1,29,1,28,1,6,1,7,1,24,1,8,1,9,1,13,1,11,1,17,2,16,2,17,1,13,1,28,17,8,1,9,1,10,1,11,1,9,1,8,1,13,4,8,1,9,1,7,1,28,13,30,1,28,19,30,2,13,3,9,2,10,1,12,3,17,5,11,1,17,4,12,1,17,3,11,1,17,7,10,1,17,50,11,1,17,2,12,3,17,10,11,1,12,2,17,5,12,2,11,2,17,2,12,1,9,1,11,1,12,2,10,1,17,1,12,2,17,1,11,1,12,3,11,1,17,1,9,1,17,1,11,1,12,2,11,1,10,1,12,1,9,1,10,1,17,1,24,1,11,1,9,1,24,1,12,1,10,1,12,1,11,2,10,1,9,1,12,1,10,1,9,1,17,1,11,1,12,1,10,1,11,1,17,2,11,1,17,74,12,1,17,3,12,1,17,7,10,1,11,3,10,1,11,1,9,3,11,1,10,1,11,1,10,1,17,2,9,1,17,1,12,1,11,1,17,1,9,1,11,3,9,1,11,1,17,2,11,1,17,41,11,2,9,5,12,1,8,1,24,1,13,2,8,1,13,1,7,1,13,1,7,1,30,1,13,1,6,1,7,1,6,5,7,1,6,2,7,1,24,1,13,1,7,2,13,1,7,1,13,1,24,1,13,3,7,1,13,3,8,2,9,3,10,1,12,1,9,1,17,1,9,3,17,1,9,1,17,1,12,1,11,2,12,1,10,1,12,1,11,1,12,1,11,1,9,1,10,1,24,1,13,1,9,1,8,2,10,1,9,1,8,1,9,1,13,1,8,1,13,1,8,1,13,3,24,1,7,2,8,1,13,1,7,1,13,2,24,1,10,1,13,1,6,1,29,1,6,1,13,1,6,5,29,1,6,2,30,1,6,1,7,1,29,1,28,1,6,1,28,1,30,1,28,1,6,1,30,4,28,1,6,2,30,1,6,1,30,4,6,2,30,1,6,1,28,1,30,1,6,1,30,2,28,1,6,1,30,1,7,1,6,2,30,1,6,1,28,1,7,1,28,1,6,2,29,1,7,1,6,2,7,1,6,1,13,3,6,1,7,1,13,1,6,1,13,2,6,1,13,2,7,3,6,1,13,2,6,1,29,1,13,1,7,1,30,1,29,1,6,1,29,1,6,2,28,1,29,1,30,1,29,1,30,4,28,1,30,3,6,1,28,1,6,1,30,1,6,1,29,1,6,1,7,1,13,1,6,1,8,3,12,1,11,2,17,1,12,1,17,31,16,1,17,4,11,1,17,1,16,1,9,1,11,1,9,1,8,1,6,1,13,1,6,1,30,2,6,1,30,4,29,1,6,1,13,1,6,1,30,1,13,1,10,1,17,1,11,1,17,1,11,1,12,1,17,2,11,1,17,8,9,1,17,1,11,1,17,1,11,1,10,1,11,1,10,1,9,1,10,1,24,1,8,1,10,2,13,1,8,2,13,1,24,1,13,1,8,1,13,1,9,1,8,2,13,1,8,1,13,1,8,1,13,3,9,1,7,1,13,1,7,1,8,2,13,1,24,1,13,4,24,1,8,2,13,2,8,1,13,1,24,1,9,1,13,1,24,1,13,1,8,1,9,3,8,1,11,1,24,1,12,1,17,1,30,1,6,1,30,3,13,1,30,1,6,1,30,2,28,1,30,1,28,4,6,1,8,1,30,1,28,1,30,2,28,1,30,3,6,1,28,5,30,1,28,1,30,2,29,1,30,1,28,2,30,1,28,3,30,1,28,5,30,1,28,1,30,2,6,1,7,1,6,1,30,1,28,1,30,1,28,2,30,3,28,5,30,2,28,3,30,1,28,3,30,1,28,3,6,1,28,1,30,1,28,6,30,2,28,1,30,1,29,1,30,1,28,1,30,6,28,1,29,1,30,1,28,1,30,1,28,4,30,2,28,1,30,2,28,3,30,6,28,1,30,1,28,3,30,2,28,1,30,3,28,5,30,2,28,2,30,4,6,1,30,3,6,1,30,1,6,4,30,2,29,1,30,4,28,1,30,2,13,1,11,1,6,1,28,1,30,1,6,1,30,1,28,4,30,1,28,2,13,1,9,1,6,1,30,1,28,2,30,3,28,5,30,1,28,1,30,2,28,2,30,1,28,4,30,1,28,5,29,1,28,1,6,1,30,3,28,1,30,1,28,1,30,1,28,6,30,1,6,1,28,1,30,2,28,1,6,1,30,1,6,2,28,1,29,1,30,4,28,1,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,1,6,1,30,1,6,1,28,1,30,1,28,3,30,1,6,1,28,2,30,2,28,1,6,1,28,2,30,1,28,12,30,1,28,2,30,1,28,1,30,1,13,1,9,1,30,1,28,1,30,1,28,4,30,1,28,4,30,2,28,4,30,2,28,3,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,4,30,3,28,3,30,1,28,1,30,1,28,4,30,3,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,3,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,3,30,1,28,4,29,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,5,29,1,6,1,30,1,17,1,6,1,7,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,5,30,3,13,3,28,1,30,1,6,1,28,1,30,1,28,6,30,1,28,4,30,1,28,3,30,3,28,1,30,2,28,8,30,4,28,3,30,2,28,5,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,3,29,1,8,1,9,1,17,1,12,1,9,3,8,1,24,1,8,1,25,1,8,2,25,1,8,1,24,1,17,7,16,1,17,3,9,1,17,1,11,1,17,3,11,1,12,1,9,1,8,3,9,1,8,1,10,1,9,1,10,1,9,1,11,1,9,1,8,1,9,1,10,1,9,1,10,1,9,1,8,1,12,1,17,1,9,1,10,1,17,1,11,1,9,2,8,1,9,3,13,2,8,4,24,1,29,1,26,1,27,1,8,1,6,1,30,1,28,6,30,1,28,20,9,1,17,2,9,1,29,1,30,3,28,4,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,6,1,13,1,30,7,6,1,28,1,30,3,6,3,30,1,7,1,6,2,13,1,6,2,7,1,13,1,7,1,6,1,7,1,8,1,6,1,13,8,7,1,13,1,6,1,13,8,8,1,13,3,8,1,13,3,9,1,8,2,13,1,9,3,8,1,13,1,8,1,9,1,13,2,8,1,13,1,8,1,9,1,8,2,9,1,11,1,17,6,12,1,17,1,12,2,10,1,9,1,12,1,11,1,9,1,13,1,8,1,9,1,13,1,9,1,13,8,8,1,6,1,13,3,29,1,30,1,6,3,30,1,6,3,29,1,6,2,30,1,13,1,6,1,30,1,6,1,7,1,6,2,13,1,30,1,6,1,7,1,30,1,6,1,7,1,6,1,7,1,6,2,7,1,13,2,6,1,13,2,6,2,7,1,6,1,29,1,6,6,13,1,9,1,8,2,9,1,8,1,13,2,29,1,30,2,28,1,30,1,6,1,30,1,6,2,28,1,30,5,29,1,30,2,6,1,30,3,6,1,30,1,28,1,6,4,13,1,29,2,6,4,9,2,13,1,8,1,13,1,8,1,13,1,6,1,29,1,13,7,7,1,8,1,13,2,7,1,13,1,8,1,13,1,6,2,7,1,13,8,8,1,13,1,9,1,13,1,8,2,13,1,9,1,8,1,9,6,12,1,11,3,17,2,12,1,17,2,9,3,10,1,8,2,9,1,8,3,10,1,12,1,11,3,17,44,11,1,9,4,8,3,13,1,9,1,13,1,8,1,9,2,8,1,13,6,7,1,13,2,7,1,13,1,7,1,13,1,6,1,8,1,13,1,7,1,6,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,11,1,17,1,10,3,11,1,12,1,17,1,9,1,17,1,12,1,10,1,12,1,17,1,12,1,16,1,12,1,10,1,11,2,9,1,16,1,10,1,11,1,16,1,17,1,11,2,9,2,17,3,11,1,12,1,9,2,10,1,9,1,11,1,9,4,8,1,9,1,11,1,10,1,11,2,9,1,12,1,11,1,8,1,11,2,8,1,10,1,11,1,9,1,11,1,9,3,10,1,9,1,13,1,8,2,13,1,8,1,13,2,7,1,6,1,29,1,13,1,6,1,30,1,6,1,30,3,6,1,9,1,16,1,11,3,8,1,9,1,8,1,7,2,13,1,6,1,13,1,6,2,30,1,28,1,29,1,28,9,30,1,28,6,30,3,6,2,13,1,6,1,13,1,9,1,8,1,16,1,11,2,12,1,17,1,11,1,17,1,12,1,17,1,11,2,9,1,16,1,11,1,10,1,9,3,10,1,9,1,12,1,9,7,13,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,9,1,13,2,9,5,13,1,8,1,9,1,13,4,8,1,13,1,8,2,6,1,9,1,24,1,13,1,8,1,13,2,7,1,9,1,8,1,13,2,8,2,13,3,8,1,13,1,8,1,9,6,8,2,9,4,8,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,3,9,1,13,1,9,1,13,1,8,1,13,3,9,1,13,1,9,1,13,3,8,1,13,1,8,3,9,2,16,1,9,1,13,1,28,2,30,2,28,1,30,6,28,4,6,1,30,2,28,1,30,2,28,3,30,1,28,1,30,1,28,16,30,1,17,2,9,2,30,1,6,2,28,1,30,2,28,12,6,1,30,1,13,1,8,1,13,1,9,1,10,1,12,1,11,1,13,1,28,4,30,1,28,1,7,1,8,1,13,1,30,1,28,42,7,1,13,1,6,1,28,3,13,1,17,2,13,1,30,1,28,2,29,1,13,1,7,1,13,1,6,1,10,1,17,2,8,1,28,6,13,1,28,10,}, {29,1,28,3,8,1,17,1,28,43,13,1,29,1,28,5,30,1,28,2,13,1,10,1,11,1,17,1,9,3,6,1,7,1,6,1,10,2,17,1,8,1,9,1,10,3,12,1,11,1,17,4,14,1,9,2,28,1,30,2,28,1,29,1,28,2,8,2,9,1,8,1,6,1,28,1,13,1,28,1,8,1,17,4,8,1,9,3,24,1,11,1,9,1,11,1,9,1,11,1,17,2,8,1,13,1,6,1,13,1,30,2,6,1,29,1,28,34,30,1,6,1,30,1,29,1,8,1,24,1,10,1,17,1,13,1,30,1,29,1,13,2,30,1,29,2,16,1,17,5,11,1,9,3,13,1,8,1,6,1,13,1,29,1,30,1,6,1,13,1,29,1,6,1,30,1,13,1,8,1,13,3,9,1,17,2,9,1,11,1,17,1,6,1,28,17,29,1,9,3,13,1,7,1,13,1,6,2,13,3,6,1,30,1,28,13,30,1,28,3,30,1,28,3,30,1,28,10,30,1,6,1,30,1,13,1,8,1,13,1,12,1,10,1,17,3,11,1,12,2,17,3,12,1,10,1,17,2,12,1,17,1,11,1,17,2,11,1,17,53,12,1,17,20,11,1,17,1,12,2,17,6,12,2,17,1,9,1,17,1,12,1,10,1,12,1,9,1,17,3,11,1,17,1,12,2,10,1,11,1,12,1,10,1,11,1,12,1,17,1,9,1,11,1,12,1,11,1,9,1,12,1,24,1,11,1,10,1,11,1,10,1,17,1,9,1,11,1,10,1,11,1,9,3,24,1,9,2,11,1,9,1,24,1,12,1,10,1,17,1,9,1,12,1,17,1,12,1,17,82,12,1,9,1,11,1,9,1,10,1,11,1,12,1,10,1,12,1,9,1,12,2,11,2,17,1,11,1,12,1,11,1,17,1,11,1,17,1,9,1,17,1,11,1,17,1,10,1,17,1,11,1,12,1,17,3,12,1,17,37,12,1,11,1,10,2,24,1,8,1,24,1,9,1,10,1,9,1,8,2,24,1,13,2,7,4,29,1,7,1,6,2,7,1,6,5,7,1,13,1,7,1,13,2,6,1,13,1,6,1,13,1,6,1,30,1,6,2,13,1,6,1,7,1,13,1,7,1,13,1,9,2,10,2,11,1,12,1,11,1,12,1,11,2,12,1,9,1,12,1,11,1,17,1,11,1,10,1,12,2,9,1,10,1,11,1,9,6,8,1,13,1,8,1,9,1,13,1,8,2,13,1,24,1,13,1,8,1,7,1,13,1,24,1,9,1,13,1,7,1,13,2,8,1,13,1,8,1,6,2,7,2,6,2,30,1,6,1,30,1,7,1,6,1,30,5,29,2,6,2,29,1,30,4,28,1,30,6,6,1,29,2,30,1,29,1,30,2,29,1,30,5,28,1,30,1,29,1,7,1,29,1,6,2,29,1,6,1,29,1,30,1,29,1,6,2,13,1,29,2,6,1,30,1,6,1,8,1,29,1,7,3,6,6,7,3,29,1,13,1,29,1,13,1,6,7,29,1,30,1,29,1,30,4,28,1,30,1,28,3,30,2,29,1,30,4,6,3,7,1,13,1,6,1,7,1,8,1,9,1,10,1,17,2,10,1,17,1,12,1,17,34,11,2,10,1,11,3,16,2,11,1,9,1,13,2,29,1,6,2,30,4,6,1,13,1,6,1,7,1,9,1,12,1,17,1,12,1,17,2,11,1,17,11,12,2,17,1,12,1,11,1,9,1,12,2,8,1,9,2,13,2,8,2,13,3,24,1,13,1,8,1,24,1,13,1,24,1,8,1,24,1,13,2,8,1,13,1,7,1,13,2,7,1,13,2,7,1,13,1,7,1,8,1,13,1,7,1,8,1,9,1,13,1,7,1,10,1,13,1,8,1,13,1,8,1,9,1,13,1,24,2,13,1,24,1,9,1,24,1,10,1,9,1,11,1,9,1,11,1,30,2,6,2,30,1,6,2,30,1,28,2,29,1,28,3,30,1,28,1,30,1,9,1,13,1,28,3,30,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,4,13,2,28,4,30,1,28,1,30,4,28,1,30,2,28,11,30,2,28,1,30,2,28,1,30,1,29,1,30,2,6,1,7,1,6,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,2,28,1,30,2,28,1,30,3,29,1,28,1,30,1,29,1,28,1,30,1,6,1,30,3,28,4,30,4,28,2,30,4,28,2,30,4,28,7,30,4,6,1,30,1,6,1,30,2,6,2,30,1,6,1,28,1,30,10,6,1,13,1,16,1,6,1,30,2,6,1,30,1,28,1,30,1,6,1,30,1,28,2,30,1,9,1,13,1,7,1,28,2,30,1,28,4,30,2,28,11,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,3,28,9,30,2,28,2,30,2,29,1,6,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,3,30,1,28,2,30,1,6,1,28,7,30,2,28,2,30,1,28,2,6,2,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,1,30,1,6,1,9,1,6,2,30,1,28,1,30,1,28,6,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,4,6,1,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,6,1,28,1,30,3,28,1,30,1,28,2,30,2,6,1,28,1,30,1,28,3,30,3,28,1,30,2,28,1,6,1,30,1,28,2,30,1,28,2,30,1,28,4,30,2,6,1,30,3,28,1,30,1,28,3,30,2,28,2,30,1,29,1,30,1,28,2,30,1,28,2,30,2,28,2,6,1,28,4,30,1,28,2,30,1,28,1,30,3,13,2,30,1,28,1,30,1,28,1,30,3,28,2,30,1,28,9,6,1,28,2,30,1,28,6,30,1,28,2,7,1,6,2,28,1,30,1,6,1,30,4,28,5,30,1,28,1,30,1,28,1,30,1,28,15,30,2,28,4,29,1,30,1,28,2,30,1,28,4,30,1,28,9,30,1,28,1,30,1,6,1,30,1,28,1,30,3,28,4,29,1,7,1,24,1,9,1,17,1,10,1,12,1,10,1,24,3,25,5,8,1,12,1,17,5,16,1,17,1,16,1,17,4,10,1,17,1,11,5,9,2,11,1,9,1,12,1,13,1,9,1,10,1,11,1,9,2,13,1,12,1,8,1,10,2,12,1,11,2,9,1,17,1,10,1,11,2,9,1,11,1,12,1,11,1,9,1,10,1,13,1,8,1,9,1,8,1,29,1,13,1,8,3,27,1,24,2,29,1,30,1,28,8,30,1,28,1,30,1,28,13,30,1,28,1,30,1,16,1,17,2,9,1,6,1,30,2,28,2,30,1,28,3,30,1,28,6,30,1,28,2,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,4,28,1,30,3,29,1,6,1,30,1,13,1,6,3,13,1,8,1,13,4,6,1,13,3,8,1,13,1,7,1,8,1,13,4,6,1,13,2,6,1,13,1,9,1,7,1,13,1,8,1,13,1,6,1,13,2,8,1,13,1,9,1,8,1,9,3,10,1,8,1,9,1,13,1,8,1,9,1,13,1,9,2,8,3,13,2,8,3,11,1,17,12,10,2,9,4,8,3,13,2,9,1,13,1,7,1,9,1,13,1,7,1,13,2,6,4,30,1,6,1,7,1,6,2,7,1,29,1,6,1,29,1,6,1,30,1,29,1,30,1,6,1,13,1,6,1,7,1,6,2,7,1,6,1,13,2,6,1,13,1,6,1,13,3,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,30,1,6,1,13,1,6,3,13,1,8,1,13,3,8,2,13,2,9,1,13,1,30,4,6,1,30,1,6,2,28,1,30,3,6,3,30,1,6,3,29,1,30,2,6,1,30,1,6,2,29,1,6,5,29,1,30,1,6,1,13,1,8,1,6,3,7,1,30,1,6,2,13,1,6,1,13,2,7,1,6,1,13,2,7,1,13,1,7,1,13,5,8,1,13,3,6,1,13,3,9,1,8,2,13,1,8,1,9,1,13,1,8,1,9,2,8,1,9,1,8,2,9,1,10,1,9,1,11,1,10,1,16,1,11,1,17,2,12,1,17,3,9,8,24,1,8,1,11,2,12,1,17,44,10,1,9,1,8,1,9,2,13,2,9,1,8,3,13,1,8,2,13,5,6,1,7,1,13,1,6,2,8,1,13,1,6,3,13,1,6,3,13,2,6,2,13,1,6,1,8,2,13,3,24,1,8,1,10,1,9,1,12,3,11,1,10,1,11,1,9,1,16,1,12,3,17,1,10,1,16,1,17,2,11,1,16,1,10,1,11,1,10,1,12,1,16,1,11,1,12,1,16,2,11,2,16,2,17,2,11,2,10,1,13,1,9,2,10,1,9,1,10,1,12,1,9,3,16,2,12,1,9,1,11,1,9,1,11,1,9,4,10,2,9,1,11,1,9,1,10,1,9,3,13,1,8,1,13,3,6,6,30,2,6,1,29,2,8,1,9,1,16,1,11,2,9,1,8,1,13,2,7,1,6,2,30,1,28,2,29,1,30,1,28,1,30,2,28,9,30,1,28,6,30,1,29,1,30,1,6,2,13,2,8,1,17,1,16,3,17,1,11,1,17,2,16,1,17,1,11,2,9,1,11,2,9,6,10,1,9,1,8,2,9,1,13,1,9,1,11,1,9,2,8,2,9,2,8,1,13,4,8,1,9,2,8,1,13,1,8,1,13,4,9,1,13,2,8,1,13,3,8,1,13,4,8,2,13,2,8,1,13,2,8,1,13,1,9,1,8,3,13,1,8,1,13,1,9,1,8,1,11,1,8,1,9,1,13,2,8,1,13,1,9,2,8,1,13,1,8,2,9,1,8,2,13,2,8,1,13,2,9,2,13,2,8,1,13,2,9,1,8,1,13,3,8,4,13,1,8,3,11,2,9,1,28,11,29,1,28,1,30,5,28,2,30,1,28,5,30,1,28,16,6,1,17,2,11,1,7,1,13,1,6,1,29,1,28,16,6,1,29,1,8,2,13,1,11,2,10,1,13,1,28,3,29,1,28,1,6,1,30,1,13,1,24,1,13,1,30,1,28,41,6,1,8,1,28,1,30,1,28,2,11,1,17,1,16,1,8,1,29,1,30,3,8,1,6,2,13,1,8,1,17,2,7,1,28,6,13,1,28,10,}, {28,2,29,1,28,1,17,2,7,1,28,42,6,1,29,1,28,1,30,1,28,6,13,1,24,1,11,1,16,1,17,1,12,1,13,1,8,1,30,1,13,2,12,1,11,1,9,1,13,1,8,1,11,1,12,1,11,1,17,4,11,1,17,1,11,1,13,1,7,1,6,2,28,1,29,1,28,2,13,1,10,1,8,1,7,1,13,1,29,1,13,1,30,1,10,1,17,2,11,1,12,1,11,1,9,2,10,1,9,1,13,1,10,1,11,1,9,1,11,1,17,2,9,1,8,1,7,1,6,2,13,1,7,1,6,1,7,1,28,35,30,1,13,2,8,1,9,1,12,1,9,1,13,1,6,1,30,1,28,1,30,1,6,1,30,1,17,6,16,1,10,1,9,1,24,1,6,3,13,1,6,1,29,2,30,1,13,1,6,2,13,1,10,1,24,2,8,1,9,1,12,2,17,3,13,1,28,18,9,2,13,1,6,1,30,1,28,1,30,2,7,2,13,2,28,6,30,1,28,11,30,1,28,15,29,1,6,1,8,2,9,2,17,2,11,1,12,2,17,2,12,2,17,1,9,2,17,1,12,3,17,1,12,1,17,3,12,1,17,51,12,2,17,3,11,1,17,3,12,1,17,8,11,1,12,1,17,5,12,1,17,5,11,2,17,1,10,1,12,1,10,1,12,3,17,1,11,1,12,1,17,1,12,1,9,1,11,1,9,2,8,1,11,1,12,1,11,1,8,1,11,1,12,3,24,1,17,1,8,1,11,1,10,1,12,1,11,1,17,1,24,1,10,1,9,5,11,1,9,2,12,1,9,1,10,1,11,1,9,1,11,1,9,2,10,1,12,1,17,80,11,1,16,1,17,1,11,1,12,1,9,1,17,1,11,1,10,1,12,1,10,1,12,2,9,1,11,1,12,1,11,2,17,1,12,5,11,1,9,1,17,1,11,3,17,42,11,2,10,1,9,1,11,1,9,1,8,1,24,1,9,1,8,1,9,1,13,4,7,2,6,1,13,1,6,2,29,1,7,1,29,1,6,2,7,1,6,1,7,1,6,2,13,1,6,1,13,1,6,1,7,1,13,4,7,2,13,1,6,1,8,1,6,1,7,1,8,2,13,1,9,1,10,1,9,3,11,1,9,2,11,1,17,1,10,1,17,1,12,3,9,1,10,1,9,1,12,1,10,3,24,2,8,2,9,1,8,1,13,1,8,1,24,1,13,1,9,1,13,3,8,1,13,1,24,1,7,1,8,5,13,1,6,1,13,1,30,1,13,1,28,1,7,1,29,1,7,1,29,1,6,1,30,1,28,1,6,1,28,1,6,1,30,2,6,1,7,1,30,2,6,1,30,3,29,1,28,1,30,1,28,1,30,4,28,1,29,1,30,1,6,1,30,1,6,1,13,1,29,2,30,1,6,1,29,1,30,1,29,1,30,2,6,1,30,1,29,1,6,3,29,1,6,1,29,1,6,1,30,1,6,1,29,1,30,1,6,7,8,1,7,1,6,1,7,1,6,3,29,1,6,1,7,2,6,3,29,2,7,1,29,2,7,1,29,1,30,7,29,1,28,1,30,3,28,1,30,7,6,2,13,1,30,1,6,1,13,1,7,1,8,1,10,1,9,1,17,1,12,1,11,2,17,2,11,1,17,21,10,1,17,12,16,1,9,1,11,1,10,2,11,5,9,1,8,1,6,1,30,4,13,1,6,2,13,1,11,2,17,5,12,1,17,11,12,3,11,1,9,3,12,1,10,1,24,1,8,1,13,1,8,1,13,1,24,1,13,1,8,1,10,1,6,1,13,1,8,1,13,2,24,1,8,1,13,1,8,2,7,2,13,2,7,3,13,1,8,2,9,1,8,1,13,1,8,1,13,1,8,1,13,2,24,1,8,1,13,1,8,3,13,2,8,2,11,1,9,2,8,1,9,1,10,1,9,1,28,1,30,1,6,1,30,1,6,1,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,9,1,6,1,30,2,28,1,30,2,6,1,30,2,28,1,30,3,28,1,30,4,28,2,30,1,28,1,30,1,28,2,30,1,28,9,13,1,6,1,28,2,30,1,28,5,30,3,28,10,30,1,28,4,30,1,28,1,30,7,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,4,28,1,30,4,6,1,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,4,30,1,28,8,30,1,28,4,30,1,28,1,30,1,28,1,6,1,30,3,13,1,6,1,30,1,6,2,28,2,30,3,28,1,30,3,28,1,6,1,30,2,16,1,17,1,13,1,28,2,30,2,28,1,30,2,28,1,29,1,8,1,13,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,29,1,28,1,30,1,28,1,30,3,28,1,30,3,28,3,30,1,28,1,30,3,28,2,29,1,30,1,28,1,30,3,28,1,30,1,28,2,6,1,28,2,6,2,28,1,30,1,28,1,30,1,28,1,29,1,30,4,28,1,30,2,28,2,30,1,28,1,30,3,28,8,30,1,28,12,30,1,28,1,30,1,28,5,30,1,29,1,30,1,6,1,28,4,30,1,6,1,28,17,30,1,28,1,30,1,8,1,9,1,6,1,28,2,30,1,28,1,30,1,28,8,30,1,6,1,30,1,28,1,30,2,28,4,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,3,28,1,30,2,6,1,30,6,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,3,30,3,28,1,30,3,28,3,30,1,28,2,30,1,28,2,30,3,28,2,6,1,28,1,6,1,28,2,30,2,28,1,30,1,6,1,30,2,28,1,30,1,28,1,10,1,28,1,29,1,30,4,28,5,30,1,28,3,30,1,28,7,30,1,6,1,28,4,30,1,28,1,30,1,9,1,6,1,28,4,30,3,6,1,30,2,28,1,30,2,28,4,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,6,30,1,28,1,13,1,6,1,30,2,28,6,30,1,28,7,30,1,28,4,30,3,28,1,30,2,28,3,30,1,6,1,29,1,13,1,24,1,17,1,12,1,10,2,24,4,26,1,25,4,8,1,9,1,12,1,17,11,9,1,17,2,11,1,9,1,11,1,10,1,11,1,8,1,10,1,11,1,9,1,10,1,8,1,13,1,11,1,9,1,10,1,13,1,10,1,8,1,9,3,12,1,11,2,17,1,11,1,12,1,11,1,9,1,11,1,9,2,11,1,9,3,10,1,9,1,6,1,8,2,24,1,25,2,8,2,6,1,30,1,28,8,30,1,28,1,30,1,28,15,13,1,17,3,11,1,13,1,30,1,28,3,30,1,28,2,30,2,28,3,30,2,28,3,6,2,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,3,29,1,6,3,29,1,6,1,7,1,6,2,13,13,8,1,6,1,13,1,8,1,6,1,13,2,8,1,13,8,9,3,13,1,8,1,10,1,9,2,13,1,11,1,9,1,8,1,13,1,9,1,8,4,9,1,13,2,8,1,13,1,9,1,8,1,11,1,17,10,11,1,12,1,11,2,9,4,13,6,8,1,13,1,7,2,13,1,6,5,30,1,6,1,30,1,7,1,13,1,7,1,6,3,29,1,6,1,29,1,6,3,29,1,6,8,7,1,6,2,13,2,6,1,7,2,6,1,13,1,7,1,6,3,7,1,6,1,13,1,6,1,13,3,7,1,13,6,6,2,28,1,30,2,29,1,6,1,30,1,29,1,30,2,6,1,28,1,6,1,30,3,29,1,28,1,6,1,30,3,6,1,30,1,29,1,30,1,6,4,29,1,30,1,6,1,30,1,6,2,8,1,13,2,6,1,29,1,6,2,7,1,6,1,28,1,7,1,6,1,7,1,13,1,6,1,9,1,6,1,13,2,8,1,13,3,7,1,13,1,6,2,13,13,8,2,9,1,13,1,9,4,8,1,9,2,12,2,17,1,11,1,16,1,12,1,17,3,12,1,9,1,11,1,9,1,13,1,9,1,13,1,8,2,9,2,17,1,10,1,11,1,12,1,17,39,11,2,10,2,8,1,9,1,8,1,13,3,6,1,13,4,8,1,13,3,7,1,13,1,6,1,7,1,6,1,13,1,6,1,13,1,6,5,7,1,6,3,13,1,6,2,13,1,7,1,6,2,13,3,8,1,13,2,9,2,11,2,9,1,11,1,16,1,10,1,11,1,10,1,11,1,17,2,10,1,17,1,9,1,17,2,12,2,11,2,12,2,11,1,16,1,9,1,11,1,16,1,11,1,17,1,11,1,17,1,12,1,17,1,11,1,9,1,10,1,9,1,11,1,9,4,11,1,13,1,11,2,9,3,16,1,9,1,12,1,10,1,16,1,11,1,12,2,9,1,10,1,9,1,8,1,9,3,8,1,9,1,8,2,13,1,6,2,7,1,30,1,6,1,7,1,30,1,29,1,6,1,28,2,30,1,6,1,13,1,10,1,11,2,8,1,9,2,8,1,13,2,6,2,13,1,7,1,6,1,30,4,28,8,30,1,28,7,30,1,28,2,30,1,28,1,13,4,16,1,11,1,17,1,11,2,16,2,11,1,12,1,11,1,9,1,11,1,9,3,8,1,9,3,13,1,8,1,9,2,8,1,10,1,13,2,9,1,13,1,9,2,13,1,9,1,8,2,13,3,8,2,9,2,13,1,8,2,7,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,6,6,1,13,1,8,2,13,5,8,1,13,2,8,1,13,1,8,1,13,1,9,1,13,4,8,1,13,3,9,1,8,2,9,1,13,1,9,2,13,1,9,2,8,1,9,1,13,1,9,1,13,2,8,3,13,1,9,1,8,1,9,1,13,3,8,3,13,6,9,2,16,1,17,1,9,1,28,4,30,1,28,1,30,1,28,1,30,4,28,1,30,2,28,28,13,1,17,2,9,1,7,1,6,2,29,1,30,2,28,13,6,1,30,1,13,1,6,1,9,1,13,1,16,1,9,2,13,1,28,2,30,3,28,1,6,1,13,1,16,1,30,1,28,42,30,1,13,1,29,1,28,3,11,1,17,2,13,1,30,1,28,1,6,1,7,2,13,1,24,1,6,1,10,1,11,1,17,1,6,1,28,5,30,1,6,1,28,10,}, {30,1,28,1,30,1,28,1,6,1,17,1,6,1,28,9,30,1,28,37,30,1,28,1,29,1,28,1,30,1,6,1,12,1,9,1,17,1,10,1,9,1,8,1,6,1,29,2,13,1,9,2,8,1,9,1,8,1,9,1,17,2,12,1,17,1,11,1,17,3,11,1,13,1,6,3,30,1,28,1,30,1,28,1,13,1,12,1,9,1,6,2,29,1,6,1,13,1,9,1,17,2,12,1,17,1,8,1,9,2,11,1,13,2,9,1,12,1,16,1,11,2,17,1,11,1,8,1,6,3,13,1,8,1,13,1,28,37,6,1,8,1,15,1,9,1,17,1,9,1,30,1,13,1,6,1,29,4,16,1,17,4,16,4,9,1,13,1,6,1,13,1,6,1,29,1,13,1,6,2,13,1,29,1,8,1,13,1,9,1,24,1,13,2,12,1,11,1,17,2,16,1,17,1,9,1,28,18,13,1,6,1,8,1,6,1,28,3,30,1,6,1,13,2,8,1,30,1,28,22,30,1,28,8,30,3,6,1,8,2,10,1,9,1,11,1,17,6,12,3,24,1,17,1,11,1,8,1,11,1,12,1,17,2,11,1,17,48,11,1,17,2,12,1,17,4,12,2,17,1,12,1,11,1,17,1,12,1,17,1,12,1,17,6,12,1,11,1,17,1,11,1,17,4,11,1,17,4,11,2,12,3,11,1,10,1,17,1,9,1,12,1,11,1,17,2,9,1,10,1,9,1,17,1,10,1,9,1,10,2,12,1,10,1,12,3,9,1,11,1,12,1,11,1,12,4,11,1,12,1,17,1,10,1,11,1,24,1,10,1,9,2,11,1,24,1,9,2,24,1,10,1,24,1,10,1,12,3,9,4,12,1,17,79,12,1,17,2,11,2,12,2,11,1,12,2,10,1,12,1,11,1,10,1,12,1,11,3,17,1,12,1,17,1,10,1,11,1,12,1,17,3,12,1,17,1,12,1,17,41,9,1,11,1,9,2,8,1,13,1,8,1,13,1,7,1,9,1,8,1,13,3,7,1,13,1,6,6,29,1,6,1,7,1,6,2,13,1,7,1,13,2,29,1,6,1,29,1,13,1,6,1,13,2,6,1,29,1,6,1,7,1,6,1,7,2,13,2,8,1,9,2,10,1,11,1,10,1,11,1,8,1,12,1,8,1,9,1,10,1,12,3,17,1,10,1,12,1,11,1,9,1,24,1,10,1,12,1,8,1,9,2,8,1,9,1,8,3,13,1,8,1,13,2,6,1,13,1,8,1,13,1,8,1,13,1,7,1,6,1,8,1,12,1,8,1,13,2,6,2,29,2,30,2,6,1,30,2,6,2,30,2,6,1,30,2,29,1,30,1,6,1,30,1,28,2,6,1,28,3,30,2,6,1,30,1,6,1,30,1,6,1,30,1,29,1,28,1,29,1,30,2,6,1,30,1,6,1,30,1,28,1,30,4,28,1,29,1,30,1,6,2,28,1,6,1,30,1,6,1,29,2,6,1,29,2,6,3,8,1,6,1,7,1,6,3,30,1,6,1,30,1,6,4,30,1,6,1,29,1,6,1,30,1,6,3,7,1,30,2,29,2,6,1,30,2,29,2,6,1,30,2,28,1,30,1,28,3,30,1,28,1,30,3,29,1,30,1,6,1,29,1,6,2,13,1,6,1,13,1,24,1,11,1,12,1,17,28,12,1,17,11,12,2,17,2,12,2,9,1,17,3,11,1,17,2,11,1,13,2,30,1,28,1,8,1,13,3,10,1,17,2,11,1,17,2,12,1,17,2,11,1,17,9,11,1,12,1,11,2,10,1,9,1,12,1,13,2,7,1,24,1,13,1,8,2,13,2,24,3,13,1,24,1,8,1,13,2,7,1,8,3,7,1,13,1,29,1,7,1,13,1,7,2,13,5,8,1,24,1,7,1,8,2,13,2,24,1,8,2,24,1,9,1,8,1,24,3,9,5,11,1,9,1,28,1,30,3,29,1,30,3,28,3,30,1,28,4,6,1,13,1,30,2,28,1,30,1,28,1,30,1,6,1,30,2,6,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,29,1,28,1,30,1,28,4,30,1,28,1,30,2,28,2,30,1,28,1,6,2,30,1,28,5,30,1,28,1,6,1,28,6,30,1,28,3,30,1,28,5,30,1,28,3,6,1,30,1,28,3,30,1,28,2,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,1,30,1,29,1,30,4,28,2,30,2,13,1,28,3,30,1,28,2,30,1,29,1,30,2,28,1,30,1,28,6,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,3,30,3,6,2,30,3,6,2,30,1,28,2,30,4,28,1,30,1,28,1,6,1,30,1,6,1,30,2,6,1,8,1,16,2,29,1,6,1,28,2,6,1,29,1,30,2,9,1,13,2,6,2,30,8,28,2,30,1,28,1,30,1,28,4,30,8,28,3,30,2,28,2,30,1,28,5,30,1,28,2,30,2,6,1,28,2,30,3,28,2,30,6,28,1,30,1,28,1,30,2,28,2,30,3,28,4,30,1,28,1,30,1,28,1,30,2,28,1,29,1,28,3,30,1,28,1,30,2,28,2,7,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,1,13,1,30,1,28,1,30,1,28,10,30,1,28,5,6,1,9,1,13,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,17,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,29,1,28,1,30,3,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,6,30,2,28,4,30,1,28,2,30,3,28,1,30,1,28,2,30,3,6,1,28,1,30,1,28,1,30,1,28,3,29,1,30,3,28,1,30,2,6,1,30,2,28,1,6,2,13,1,30,1,6,1,28,1,30,3,28,2,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,4,8,1,13,1,30,1,28,3,30,1,28,1,30,2,28,1,30,3,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,2,6,1,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,4,6,1,30,2,28,4,30,1,28,1,30,1,28,1,30,1,8,1,10,2,12,1,9,1,10,1,24,3,26,1,29,1,25,4,24,1,17,14,16,2,17,1,10,2,9,1,10,1,9,1,11,1,10,1,9,3,11,1,9,2,11,1,9,1,11,2,10,1,11,1,17,1,11,4,17,1,11,1,9,1,11,1,9,1,10,1,9,3,13,1,10,1,12,1,10,1,8,1,24,3,25,1,8,1,25,2,6,2,28,1,30,1,28,5,30,3,6,1,28,15,9,1,17,4,13,1,28,1,30,1,28,7,30,1,28,1,30,2,28,1,30,1,6,1,30,1,13,1,28,3,30,1,28,2,30,3,28,2,30,2,6,1,30,1,29,1,30,3,6,1,30,1,6,2,13,1,7,2,13,1,6,1,13,7,8,1,13,4,6,1,13,2,7,1,6,1,13,5,7,1,9,1,13,2,8,1,13,1,9,1,13,1,9,1,10,1,9,2,8,3,11,1,9,5,8,2,9,1,13,1,9,1,8,5,17,9,12,4,9,3,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,2,8,1,13,1,6,1,13,1,30,2,29,1,30,2,6,1,30,1,29,2,30,1,6,3,29,1,6,4,30,1,6,1,13,1,29,1,13,1,7,1,29,1,13,1,6,1,13,2,30,1,13,1,6,1,13,2,7,1,13,3,6,4,13,2,29,1,13,6,7,1,13,3,6,1,13,1,30,3,28,1,30,7,6,1,30,1,29,1,30,2,29,2,28,1,13,1,30,1,6,1,30,2,6,3,30,1,6,2,7,1,6,2,30,1,6,2,13,1,6,1,13,1,6,5,13,3,6,1,7,1,13,3,6,1,13,1,6,1,13,1,8,1,29,1,13,2,7,1,6,1,13,2,7,2,13,10,8,2,13,2,10,1,8,1,13,1,9,3,11,1,9,1,10,1,9,1,11,1,17,1,11,1,17,3,12,1,17,1,9,3,8,2,9,1,13,1,12,1,9,2,11,1,17,1,11,1,17,37,16,1,11,1,9,2,8,2,13,3,8,1,13,7,6,1,13,1,7,1,13,2,29,1,13,1,6,1,29,1,13,1,6,1,7,2,6,1,13,1,30,1,6,1,29,1,6,4,7,1,30,1,6,2,29,1,7,1,29,1,13,5,10,1,13,2,11,1,9,3,17,1,11,1,9,1,10,1,9,1,16,1,17,1,16,1,9,1,11,1,12,2,11,1,17,1,11,2,10,1,17,2,11,1,17,1,11,5,17,1,11,1,17,1,16,1,10,1,16,1,11,5,16,1,11,1,10,1,9,1,16,1,11,2,16,1,11,1,10,2,9,2,10,1,11,1,9,2,10,1,9,1,11,1,8,2,9,1,13,3,6,1,13,1,6,1,30,1,6,2,29,1,30,1,29,1,30,1,28,2,29,1,28,1,13,1,9,3,11,1,9,1,10,1,13,3,7,1,29,1,6,2,30,1,6,1,30,1,29,1,28,8,30,1,28,4,30,1,28,5,30,1,28,1,30,1,6,3,13,1,16,2,11,2,17,1,11,2,16,1,9,1,11,1,16,1,11,1,9,3,13,1,8,1,9,2,13,2,8,3,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,9,2,8,4,13,1,9,1,13,1,8,1,13,1,8,2,13,3,8,1,13,1,9,1,13,3,8,1,9,1,13,3,8,1,7,1,13,8,7,1,13,1,9,1,8,2,9,1,13,1,9,1,8,1,9,3,13,1,8,5,9,1,13,2,9,1,13,1,8,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,2,6,1,13,1,8,2,13,1,9,1,13,1,8,1,13,3,8,2,9,3,8,1,9,1,17,1,9,2,30,1,28,8,30,1,28,1,30,3,28,4,30,1,28,24,9,1,17,2,13,1,8,1,29,1,6,1,30,1,28,1,30,1,28,13,13,1,30,1,8,1,6,1,13,1,8,1,9,2,17,1,13,1,28,1,30,1,13,1,28,4,8,1,9,1,28,44,13,1,28,4,16,1,17,1,9,1,13,1,30,1,28,1,29,1,7,1,29,1,13,1,6,1,13,1,11,1,17,1,11,1,6,1,28,5,30,1,13,1,28,10,}, {28,4,9,1,17,1,6,1,28,47,30,1,28,1,30,1,28,2,7,1,11,2,17,1,10,2,13,1,6,1,29,1,30,1,13,1,10,1,11,1,8,1,13,1,9,1,12,2,17,1,11,1,17,1,16,1,17,1,10,1,17,2,9,1,13,2,30,1,6,1,30,1,28,1,30,1,29,1,17,1,10,1,8,1,6,1,7,1,6,1,30,1,10,1,17,1,12,1,16,2,17,1,9,2,13,1,8,1,9,1,11,1,9,1,16,2,12,1,17,1,9,1,8,1,13,1,7,1,13,1,7,1,13,1,6,2,28,35,29,1,30,1,13,1,9,1,24,1,16,1,11,1,13,2,30,1,6,1,30,1,6,1,29,1,11,1,17,4,11,1,17,1,16,2,8,1,13,2,29,1,6,1,13,1,7,1,13,1,6,3,7,1,6,1,9,2,24,1,9,1,8,1,16,1,12,1,17,3,9,1,28,18,30,1,13,2,6,1,28,5,7,1,8,1,13,1,30,1,28,11,30,1,28,14,30,1,28,5,30,1,29,1,13,1,9,1,13,1,12,1,10,1,17,1,12,1,17,3,12,2,17,2,11,2,17,1,10,2,12,1,9,2,12,3,17,2,12,1,17,3,12,1,17,47,12,2,17,4,12,1,17,16,12,1,17,1,11,1,17,3,12,1,17,2,11,1,10,1,17,2,24,1,17,1,11,1,17,1,12,1,9,1,11,2,10,2,24,1,9,1,10,2,17,1,12,1,10,1,9,1,12,1,10,1,12,1,11,2,10,1,24,1,12,2,9,1,11,1,12,2,10,2,11,1,12,1,11,1,10,3,11,2,12,1,10,2,11,1,10,1,12,1,10,1,17,1,11,1,10,1,17,3,16,1,11,1,9,1,17,72,12,1,17,2,12,1,17,1,11,1,17,1,11,1,12,1,11,1,17,1,11,1,12,1,9,1,17,1,11,1,12,4,11,1,17,1,10,1,12,2,11,1,17,1,12,1,17,1,11,1,17,4,11,1,17,37,11,1,9,1,10,1,9,2,8,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,7,1,13,1,7,1,6,2,13,1,6,3,7,1,29,1,7,1,6,2,7,1,6,2,8,1,7,1,6,1,7,1,6,2,7,1,13,1,6,2,13,1,28,1,6,1,7,2,13,1,9,3,8,1,9,1,11,1,12,1,11,1,9,1,8,1,10,1,11,1,9,1,10,1,11,2,10,1,9,1,11,1,9,2,10,1,24,3,10,2,24,1,8,1,9,1,8,1,9,1,13,1,8,6,7,1,13,2,6,1,8,1,13,1,8,1,9,1,13,1,6,1,7,1,6,1,30,1,29,1,6,2,29,2,6,2,30,1,6,1,29,1,30,1,6,2,29,1,7,1,29,1,6,1,28,1,6,1,29,1,30,1,29,1,28,1,30,2,28,1,30,4,6,1,30,2,29,1,30,1,29,1,28,1,30,1,28,1,6,1,13,2,7,1,30,4,28,1,30,1,6,1,30,1,6,1,29,2,30,2,29,1,6,1,7,1,30,1,29,1,7,1,30,1,6,3,7,1,30,2,6,2,7,1,30,1,13,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,30,1,29,1,6,2,30,1,29,1,30,5,28,11,30,4,29,1,30,1,6,2,7,3,13,1,8,1,10,1,11,1,17,3,12,1,17,16,11,1,17,7,12,1,17,16,12,2,11,5,17,3,11,1,9,1,13,1,6,2,13,1,8,1,17,1,11,1,17,3,12,1,17,4,12,1,17,4,12,1,17,1,12,1,10,1,9,2,12,1,11,1,10,1,17,1,9,1,24,1,9,1,24,1,9,1,13,2,8,2,24,1,13,1,8,1,24,1,6,1,13,4,8,1,7,1,13,1,7,1,13,2,7,2,6,1,13,1,7,1,13,1,6,1,13,1,24,2,7,1,24,1,8,1,13,1,8,1,13,1,8,1,13,1,8,4,24,2,8,3,10,1,9,2,10,1,17,1,13,1,30,1,29,1,30,1,29,1,6,3,28,1,30,2,28,4,29,1,30,1,13,1,6,1,28,2,30,1,28,1,30,1,28,1,7,1,30,2,28,2,30,2,28,1,30,3,28,4,30,1,28,3,30,1,28,7,29,1,28,1,13,1,6,1,28,6,30,1,6,2,28,3,30,3,28,4,30,2,28,2,30,1,28,3,30,1,28,1,13,1,28,7,6,1,30,2,28,2,30,1,29,1,30,2,28,8,30,2,28,1,6,1,28,2,30,1,28,7,6,1,30,2,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,2,6,1,7,1,6,1,30,2,28,3,7,1,28,4,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,1,30,2,6,1,11,1,8,1,6,1,30,2,28,1,30,2,13,1,8,1,6,1,30,1,6,1,30,3,28,2,30,1,28,1,30,3,28,1,30,1,6,1,28,2,30,6,28,1,30,1,28,2,30,5,28,1,30,1,28,3,30,2,28,3,30,1,28,1,29,1,6,1,28,5,30,2,28,1,30,5,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,4,28,3,30,1,28,1,30,4,28,2,30,1,28,1,30,2,28,1,30,2,28,2,6,1,30,5,28,2,30,2,28,1,30,2,6,1,29,1,30,1,28,4,30,1,28,5,30,1,28,4,30,1,28,2,11,2,7,1,6,1,30,1,28,2,30,1,28,2,30,2,28,9,30,3,28,2,30,1,28,1,30,1,28,1,30,3,28,3,29,1,30,2,29,1,30,4,28,1,29,1,30,1,28,2,30,2,28,1,29,1,30,5,28,1,30,1,28,2,30,3,28,1,30,5,28,3,30,1,28,3,30,1,28,3,30,2,28,2,29,1,28,2,30,1,28,1,30,1,28,5,30,3,28,4,30,2,29,1,30,2,28,2,30,2,13,2,30,2,6,1,30,1,9,1,30,3,28,1,30,1,28,3,30,1,28,6,30,1,28,9,30,2,28,2,30,1,28,2,7,1,13,1,28,7,30,8,28,1,30,5,28,1,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,15,30,3,28,1,7,1,30,2,28,7,30,2,6,1,8,1,10,1,12,1,10,1,12,1,8,1,24,3,26,1,27,1,25,2,26,1,8,1,10,1,17,17,11,1,9,1,11,1,10,1,11,3,17,1,9,1,8,1,10,1,9,2,10,1,9,1,10,2,9,3,11,1,10,1,11,1,9,1,17,1,9,2,11,1,10,1,9,4,13,1,9,1,17,1,24,3,8,1,24,1,8,1,24,1,26,1,25,1,13,1,6,1,28,7,30,4,28,14,29,1,16,2,17,3,10,1,28,1,30,2,28,1,30,3,28,1,30,2,28,1,30,2,28,1,29,2,30,1,29,1,6,1,28,1,30,2,28,3,30,2,28,1,30,3,6,1,29,1,30,2,29,2,30,1,6,1,7,2,13,1,7,2,6,1,7,1,13,4,8,1,13,1,7,1,13,18,8,3,13,1,8,1,9,1,13,1,8,2,9,2,10,1,13,1,8,1,13,1,8,1,13,1,9,4,8,3,13,1,8,2,9,1,16,1,17,7,12,1,17,2,10,1,11,1,9,1,11,1,9,1,8,2,9,1,13,1,8,1,13,4,7,1,6,2,30,1,29,1,6,1,13,1,30,3,6,1,29,1,6,1,29,1,30,1,6,2,30,1,13,1,7,1,30,1,6,1,7,2,6,2,13,1,7,1,6,1,30,1,7,1,6,1,13,1,6,2,7,1,13,1,29,1,6,2,13,2,6,1,7,1,13,1,6,1,13,4,8,1,13,6,6,1,13,2,7,1,30,1,29,1,30,1,28,1,6,1,30,1,29,1,30,1,6,1,28,1,29,1,30,1,6,1,30,3,6,1,28,1,13,1,28,1,30,1,29,1,6,1,13,1,30,1,6,1,30,1,6,3,28,1,29,1,30,2,13,2,30,1,6,1,30,1,29,1,6,1,7,1,13,1,30,1,6,1,7,1,6,3,13,1,6,1,13,4,7,1,6,1,13,1,6,3,13,1,6,1,13,1,6,1,13,3,8,1,13,1,6,1,13,6,9,1,8,2,9,1,8,1,9,1,8,1,9,1,8,1,9,2,12,1,10,1,11,1,9,1,17,6,11,1,17,1,9,1,13,1,8,1,13,1,9,1,10,1,9,1,17,1,16,3,17,8,11,1,17,27,11,2,10,2,9,1,13,1,8,1,13,1,8,1,13,8,6,4,30,1,6,1,13,1,29,1,13,1,6,2,29,1,6,3,30,1,29,1,30,1,29,1,30,1,6,3,29,1,6,2,13,1,29,1,6,3,13,3,6,1,13,1,9,4,11,1,10,1,9,1,12,1,10,1,12,1,16,1,9,1,10,1,11,1,17,1,11,1,17,1,11,2,12,1,11,1,10,1,17,2,12,1,11,2,10,1,16,1,11,1,16,1,10,2,16,1,8,1,17,4,11,2,16,1,11,1,9,1,8,1,9,1,16,1,11,2,9,2,12,1,11,2,16,1,9,1,10,1,9,1,10,1,8,1,9,1,13,1,8,1,9,1,13,3,8,1,6,2,13,1,6,4,30,2,29,1,30,1,28,1,30,1,28,1,30,1,13,1,11,1,9,1,10,1,9,3,7,1,9,1,6,2,13,1,6,1,29,1,6,2,28,1,30,2,28,6,30,1,28,14,30,1,29,1,28,1,8,1,17,1,11,1,12,1,16,2,11,1,16,1,11,1,12,1,11,2,9,1,10,1,9,2,8,3,13,1,11,1,13,1,9,1,8,2,13,1,6,1,8,1,29,1,9,1,13,2,9,1,13,1,8,3,13,1,8,2,9,1,8,1,13,1,8,2,7,1,6,1,8,1,13,3,6,1,13,6,6,1,7,1,13,2,6,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,13,3,8,1,7,1,6,1,13,1,8,1,13,3,8,2,9,1,8,1,13,1,8,2,9,1,13,2,8,1,9,1,13,3,8,1,13,1,8,1,9,1,8,2,13,1,8,2,13,4,8,1,6,1,13,1,8,1,13,1,8,1,13,7,11,1,9,1,8,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,7,30,1,28,22,9,1,17,2,13,1,7,1,6,3,29,1,28,12,6,1,30,1,6,1,28,1,6,1,13,2,10,1,13,1,11,1,10,1,29,1,30,1,28,1,6,1,28,4,8,1,9,1,28,43,6,1,29,1,6,1,28,3,16,1,17,1,16,1,13,1,28,2,29,1,30,1,13,1,7,2,24,1,9,1,17,1,12,1,30,1,28,5,29,2,28,10,}, {28,4,6,1,17,1,8,1,28,32,30,1,28,8,30,1,28,2,30,1,28,4,29,1,6,1,30,1,7,1,9,1,11,1,16,1,8,2,13,1,28,1,29,2,13,1,11,1,10,1,13,2,8,1,9,1,17,1,9,1,10,1,17,1,12,1,17,1,11,1,17,2,8,2,7,1,29,1,28,1,6,1,28,1,30,2,11,1,9,1,8,1,29,1,13,1,29,2,8,1,17,3,12,1,16,1,9,1,11,1,10,1,8,1,9,1,8,1,13,1,9,1,10,1,17,2,9,2,13,1,6,1,13,1,7,1,13,2,30,1,28,34,29,1,28,1,7,2,9,2,11,1,12,1,6,1,28,1,6,1,30,1,7,1,30,1,6,1,10,1,16,1,17,3,16,1,17,2,16,1,9,1,8,1,13,2,6,1,8,1,6,1,8,1,6,1,7,1,6,1,7,1,8,1,9,1,13,1,10,1,13,1,10,1,17,1,16,1,11,1,17,2,11,1,28,19,6,1,30,2,28,4,30,1,6,1,13,2,30,1,28,2,30,1,28,12,30,1,28,1,30,2,28,11,30,3,6,1,7,1,9,1,11,1,17,1,12,1,10,1,12,2,17,3,12,1,17,2,11,1,17,1,12,1,17,1,9,1,12,1,11,1,17,1,12,2,10,1,12,2,17,2,12,1,17,50,11,1,12,2,17,1,12,1,17,6,11,1,17,3,12,1,17,1,12,1,17,4,12,1,17,1,11,1,17,4,11,1,17,1,11,1,17,1,11,1,10,1,12,1,17,1,11,1,17,1,9,1,17,1,12,2,10,1,12,1,11,1,12,1,9,2,10,1,12,1,17,1,12,2,11,2,10,1,12,1,9,1,17,1,12,2,9,1,17,1,12,1,11,2,24,1,13,1,12,1,9,1,10,1,9,1,10,2,12,1,9,1,11,2,9,1,24,1,17,1,9,2,12,1,10,1,17,1,12,1,9,1,11,1,17,3,16,1,11,1,17,60,12,1,17,15,11,2,17,2,11,1,17,1,12,1,17,1,12,1,17,5,12,1,17,2,12,1,17,1,12,1,17,4,12,1,17,12,12,1,17,27,12,2,11,1,10,1,13,1,8,3,13,1,8,1,13,1,24,1,13,1,6,1,13,1,7,2,13,1,7,2,6,10,13,1,6,1,28,1,29,2,13,1,7,1,24,1,6,2,13,1,6,2,29,1,13,3,8,1,10,1,9,2,10,1,13,1,9,1,12,1,8,1,9,4,11,1,10,1,24,1,11,1,17,2,12,1,9,1,13,1,9,5,13,1,8,1,9,1,8,2,13,1,8,1,13,5,7,1,13,1,7,1,8,1,7,1,8,1,7,1,8,1,30,1,6,1,29,1,6,1,7,1,28,1,30,3,6,2,28,1,29,1,30,3,28,1,30,3,29,1,30,1,6,2,28,1,30,4,29,2,30,1,28,4,30,1,6,1,29,1,30,1,29,1,30,1,13,1,28,1,6,1,13,1,8,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,1,6,2,7,1,29,2,6,2,7,1,6,2,29,1,7,1,29,1,28,1,29,1,6,1,29,1,6,1,29,1,30,1,6,1,29,1,30,2,29,1,6,1,30,3,6,1,30,3,6,1,30,2,28,4,30,1,28,9,30,1,6,1,29,1,6,2,29,1,6,2,7,1,8,1,24,1,9,1,12,1,17,17,12,1,11,1,17,24,12,1,17,5,11,1,12,2,17,1,11,1,17,1,11,1,17,3,9,1,28,1,13,1,9,1,11,1,12,2,17,2,12,1,17,11,12,1,17,2,11,1,10,1,12,1,9,2,8,1,13,1,9,1,24,1,9,1,6,1,9,1,8,1,13,1,8,1,13,2,24,1,13,1,8,1,7,1,13,1,24,2,7,1,13,2,7,1,13,2,7,2,6,1,7,1,13,1,7,1,13,1,7,2,24,1,8,1,13,1,10,1,8,1,13,1,8,3,24,2,10,1,13,2,24,1,13,1,24,1,8,1,9,1,8,1,10,1,17,1,29,1,30,2,6,1,30,3,6,1,29,1,28,2,30,1,28,2,30,3,13,1,30,3,28,2,30,2,6,1,30,1,6,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,5,30,2,28,6,13,2,30,1,28,6,6,2,28,7,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,3,13,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,3,30,4,28,1,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,3,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,2,30,4,28,1,30,3,28,2,30,2,28,1,30,2,28,3,30,2,6,1,30,3,13,1,9,1,13,1,30,1,6,1,30,1,6,2,13,1,8,1,13,1,6,2,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,2,30,8,28,1,30,1,28,3,30,1,28,10,30,1,28,3,30,1,6,2,28,1,30,1,28,4,30,4,29,1,30,2,28,1,6,2,28,2,6,1,29,1,30,2,28,1,30,1,28,1,30,3,29,1,30,1,29,1,30,1,28,3,6,1,28,8,30,1,6,1,28,2,30,2,28,3,30,2,28,1,30,2,13,1,28,3,30,2,28,10,30,1,28,3,6,1,17,1,13,1,30,2,28,5,30,1,28,7,30,1,28,1,30,3,28,1,30,2,6,1,28,1,30,3,28,2,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,8,30,2,28,1,30,2,28,1,30,2,28,4,30,2,28,2,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,5,30,1,28,11,30,1,28,1,30,5,29,1,28,1,30,3,28,1,30,4,13,1,6,2,28,1,30,1,6,1,13,1,30,5,28,15,29,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,9,1,28,2,30,1,28,3,30,1,28,1,6,1,28,1,30,3,28,1,30,1,28,2,30,3,28,4,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,14,30,1,28,3,6,1,30,1,28,3,30,1,28,1,30,1,28,3,6,2,9,1,10,1,17,1,12,1,24,2,10,1,24,1,8,1,26,2,25,3,8,1,12,1,11,1,17,14,12,1,17,1,11,1,12,1,17,1,12,1,9,1,12,1,11,1,9,3,10,1,11,1,13,1,9,7,8,1,9,1,11,1,9,2,11,1,16,1,9,2,11,1,16,1,10,1,11,1,9,2,13,1,7,1,24,3,8,1,24,1,25,1,26,1,25,1,8,1,6,1,28,7,29,2,28,1,30,2,28,13,9,1,16,2,17,1,16,2,9,1,13,1,6,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,6,1,29,2,6,2,28,1,6,1,28,2,30,1,28,4,30,3,28,1,30,1,6,1,30,1,6,1,30,2,6,1,7,1,29,1,7,2,6,4,7,1,13,5,8,1,13,1,7,1,13,1,7,1,13,4,7,1,13,1,7,1,13,3,8,1,13,4,8,1,13,1,8,1,9,1,10,1,9,1,8,1,11,1,9,2,13,1,9,1,10,1,9,1,11,1,9,1,11,1,8,1,13,2,8,1,9,1,13,1,9,1,8,1,9,1,8,1,6,1,11,1,17,8,10,1,11,2,8,2,9,1,8,1,9,1,13,5,7,1,13,1,6,1,30,1,6,1,30,2,28,1,30,1,6,1,30,1,6,1,30,2,29,1,30,1,28,1,6,2,29,1,6,1,7,1,13,2,6,1,29,1,13,1,7,2,30,1,6,1,13,1,7,1,6,2,13,1,6,4,7,2,13,2,29,1,6,2,13,1,6,1,13,2,7,1,13,2,7,1,13,3,7,1,13,1,29,1,13,2,28,2,30,3,28,1,29,1,30,1,29,2,28,1,30,2,28,1,6,1,30,2,6,1,30,1,6,2,30,1,7,1,6,3,29,1,6,1,30,4,6,1,13,2,6,8,7,1,6,1,7,1,30,1,6,3,13,1,7,2,13,1,7,1,13,1,7,2,13,1,6,1,13,2,7,1,13,3,7,2,13,1,7,1,13,6,9,1,8,1,13,2,9,2,10,1,9,1,11,1,9,3,12,1,11,1,12,1,17,1,12,1,17,8,12,3,17,1,11,1,17,11,11,1,16,2,17,1,11,1,17,24,11,4,8,1,13,6,8,1,13,2,6,3,13,1,6,1,7,1,13,1,6,2,30,1,6,1,29,1,30,2,29,1,30,1,29,2,30,1,7,1,6,1,30,1,28,2,6,1,30,1,29,2,6,1,30,1,6,1,29,1,6,1,29,1,6,1,13,1,6,1,13,1,6,1,13,3,9,3,10,1,9,2,10,3,16,1,9,1,11,3,12,1,17,1,11,1,12,1,11,2,17,1,11,1,17,1,11,3,10,1,16,1,9,1,10,2,9,2,11,1,9,1,11,1,17,1,16,1,11,1,16,1,9,2,10,1,9,5,11,1,9,4,12,1,9,1,12,1,9,1,10,1,9,3,13,1,9,1,13,2,6,1,13,2,7,1,30,2,29,1,6,1,30,2,28,1,29,1,30,4,13,1,16,1,11,1,9,2,8,2,13,5,6,2,30,3,29,1,28,1,30,1,28,4,30,1,6,1,28,11,30,2,28,1,30,2,6,1,8,1,11,1,16,1,17,1,16,1,17,1,12,1,11,1,17,1,11,1,9,1,17,1,9,1,10,1,11,1,9,2,8,1,9,2,8,1,9,1,8,3,13,1,8,2,13,1,8,2,13,1,9,1,8,3,13,2,8,1,13,2,7,1,13,1,6,1,8,1,13,1,7,1,13,4,8,1,13,5,6,2,13,3,8,1,13,2,6,1,13,7,8,2,13,2,6,1,7,1,9,1,8,1,13,3,9,2,8,1,9,1,13,1,9,2,13,1,8,3,6,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,7,1,13,2,8,1,13,3,9,1,13,1,8,1,9,1,13,2,8,2,9,1,11,1,9,1,28,2,30,1,28,4,30,1,28,1,30,1,28,10,30,1,28,22,16,1,17,1,16,1,8,1,7,1,29,2,28,1,6,1,30,1,28,12,6,4,13,1,8,1,9,2,11,1,17,1,6,1,28,1,29,1,28,4,29,1,8,2,28,43,29,1,6,1,28,3,30,1,17,3,13,1,30,1,6,1,30,2,6,1,7,1,13,1,6,1,9,1,17,2,28,7,30,1,28,10,}, {28,4,30,1,17,1,9,1,28,49,30,2,28,1,29,1,8,1,17,1,11,1,10,1,8,1,30,1,6,1,29,1,28,2,9,1,11,1,13,2,9,2,12,1,17,1,16,1,17,1,11,1,16,1,17,1,11,1,17,1,16,1,13,1,30,1,29,1,28,1,29,1,30,1,28,1,13,1,8,1,10,1,13,1,6,1,13,1,6,1,7,1,9,1,17,5,11,2,13,1,9,1,13,1,8,1,9,1,11,1,16,1,17,2,16,1,13,1,9,1,6,2,13,2,6,1,29,1,28,36,6,1,13,1,24,1,15,1,11,1,9,1,13,1,30,1,6,5,10,1,17,5,11,2,9,1,16,1,13,3,6,1,13,2,29,2,13,1,7,1,6,1,7,1,8,1,13,1,8,2,9,1,17,5,16,1,28,18,30,5,28,2,30,1,6,2,13,1,7,1,29,1,28,3,30,2,28,1,30,1,28,3,30,2,29,1,28,9,30,1,28,5,30,3,29,1,6,1,13,1,9,2,10,1,17,1,12,2,17,1,12,3,17,4,12,2,17,1,11,1,17,1,12,3,11,1,17,1,12,1,17,1,11,1,17,3,11,1,17,14,12,1,17,33,12,1,17,2,11,1,17,2,11,1,17,2,12,1,17,7,16,1,11,1,17,7,12,4,10,1,17,1,11,1,12,6,10,1,11,1,12,1,17,1,12,1,9,1,17,1,10,1,12,1,9,1,10,1,12,1,11,1,10,1,9,1,11,1,12,3,9,1,17,1,8,1,11,1,12,1,10,1,11,1,12,2,11,2,8,1,12,1,11,1,10,3,8,2,11,1,10,1,9,1,11,2,12,1,10,2,12,1,11,1,9,1,11,1,9,1,11,2,17,1,12,1,17,1,11,2,17,61,12,1,17,15,12,1,17,5,12,1,17,2,12,1,17,3,12,1,17,2,10,1,17,3,10,1,12,2,10,1,17,38,12,1,17,1,11,1,10,1,9,2,13,1,24,1,13,3,7,1,13,1,24,1,13,3,6,5,7,1,6,1,7,2,6,1,13,1,6,5,7,1,6,3,13,1,7,1,13,1,7,1,6,1,13,2,24,1,8,1,13,1,8,2,9,1,11,1,9,1,11,1,9,3,11,1,12,1,8,1,9,2,11,1,10,1,12,1,9,2,24,1,12,1,24,1,9,3,8,2,10,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,2,8,2,13,1,6,1,7,2,13,1,8,2,6,2,7,1,6,1,7,1,30,2,29,2,28,1,6,1,28,1,30,1,6,1,29,1,28,1,6,1,28,1,30,2,7,1,6,1,29,1,6,2,29,2,30,4,29,1,6,1,30,5,28,1,30,1,6,1,28,1,30,1,29,1,28,1,30,3,6,2,30,2,29,1,30,1,29,1,30,1,6,1,29,1,6,1,29,1,6,2,30,1,6,2,30,1,6,2,30,1,29,1,30,1,6,1,30,2,6,1,30,1,29,2,6,1,29,5,30,1,29,2,30,3,29,1,28,1,30,4,28,15,29,3,6,1,29,1,13,3,8,1,10,1,9,1,10,1,17,17,12,2,17,1,12,1,17,23,11,1,17,9,12,1,17,6,13,2,11,1,17,4,12,1,17,6,12,1,17,1,11,1,17,2,12,1,17,1,11,1,17,1,12,1,9,1,17,2,9,1,12,1,8,1,24,1,8,1,13,1,9,1,13,6,6,1,24,1,8,1,13,1,8,1,7,1,8,1,13,2,7,1,6,1,13,1,7,1,13,1,6,1,7,2,13,1,7,3,13,1,8,1,13,1,8,1,24,2,13,2,8,2,13,1,8,1,13,1,9,1,24,1,10,1,8,1,9,1,8,1,9,1,8,1,9,1,17,1,29,1,28,1,6,1,30,1,7,1,6,4,30,2,28,1,30,5,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,6,2,30,1,28,4,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,6,30,1,28,3,13,2,30,1,28,2,30,1,28,3,6,1,30,1,28,1,30,1,28,6,30,2,28,4,30,1,28,7,6,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,3,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,5,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,6,1,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,3,28,1,30,1,28,1,6,1,9,2,7,1,13,3,8,1,13,2,6,1,30,2,28,2,30,1,28,1,6,1,30,1,28,1,30,7,6,2,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,3,6,1,28,1,30,1,28,3,30,1,28,5,30,1,28,1,6,1,30,1,28,1,30,1,28,2,6,1,28,1,30,6,7,1,30,6,28,2,30,3,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,6,2,30,1,28,2,30,1,28,2,30,1,28,3,30,1,6,2,28,1,30,1,28,5,30,1,28,8,30,1,28,2,9,1,16,1,6,1,28,3,6,1,30,3,28,2,30,1,28,7,30,3,28,1,30,4,28,3,30,2,28,3,30,4,28,1,30,1,28,2,6,1,28,1,30,2,7,1,28,1,30,1,28,10,29,1,28,1,30,1,28,2,30,3,28,1,30,1,28,6,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,1,30,1,6,3,28,1,30,1,28,1,6,1,13,1,30,6,6,1,28,2,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,10,29,1,28,1,30,1,28,4,30,1,6,1,29,1,28,1,30,1,28,1,30,1,28,8,30,1,28,3,29,1,28,1,30,1,28,2,30,1,28,8,30,1,28,1,13,1,8,1,28,1,30,1,28,9,30,4,28,4,30,1,6,1,30,1,28,3,29,1,30,3,28,2,30,1,28,3,30,1,28,1,6,1,8,2,12,1,17,1,10,1,24,4,25,1,26,1,27,1,8,1,25,1,8,1,24,2,17,15,11,1,17,1,11,2,17,1,12,1,11,1,17,1,11,1,17,1,9,1,10,1,12,1,9,3,8,1,9,1,11,1,9,1,17,1,11,3,10,1,11,1,9,3,10,1,9,1,8,1,11,1,17,2,9,2,17,1,8,1,26,1,24,1,25,1,8,1,25,1,8,1,29,1,27,1,7,1,13,1,28,7,30,1,29,1,30,3,28,8,30,1,28,4,17,1,11,1,17,4,11,1,13,1,6,1,28,1,30,1,28,4,30,1,28,1,30,2,6,2,30,1,6,1,30,1,28,4,29,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,29,1,30,1,6,1,30,1,6,5,7,1,6,1,7,1,13,1,6,1,7,2,13,8,8,1,13,1,8,1,13,3,9,1,13,4,8,2,13,1,8,2,13,3,9,1,13,1,8,1,13,2,10,1,13,1,10,1,9,1,8,3,13,1,9,2,8,2,9,1,8,1,9,1,8,1,9,2,8,2,9,1,10,1,9,1,16,1,17,8,12,1,11,1,12,1,9,2,13,2,9,1,13,2,7,2,6,2,28,1,6,4,30,3,6,1,30,3,6,1,30,1,6,1,29,1,6,1,7,1,6,1,29,1,30,1,6,7,7,1,6,2,13,1,6,4,13,1,30,1,29,1,6,2,13,1,7,2,13,12,7,1,6,1,9,1,13,1,28,1,30,1,6,1,30,1,28,1,30,7,6,1,28,1,30,2,6,1,29,1,6,3,7,1,6,2,28,1,6,1,30,2,6,1,28,1,30,1,28,1,30,1,6,1,13,1,30,1,6,1,28,1,6,1,29,1,6,1,28,1,6,1,7,1,30,3,29,1,6,2,13,1,7,1,13,1,29,1,13,2,8,1,7,1,13,1,6,1,7,1,13,1,6,1,13,2,30,1,6,1,13,11,9,1,8,1,9,2,8,1,9,1,13,1,9,3,11,1,9,2,16,1,11,2,17,9,16,1,17,13,16,1,11,1,17,1,10,1,17,4,12,1,17,18,11,2,10,1,9,1,11,1,8,1,13,2,7,1,13,4,7,1,13,2,7,1,13,1,7,1,6,3,7,1,6,5,7,1,6,1,29,1,30,1,6,1,30,3,28,1,30,2,28,1,30,3,28,1,30,3,7,1,30,2,6,1,30,1,13,1,6,2,13,1,6,1,13,2,9,1,13,1,9,2,10,1,9,1,11,2,9,1,16,1,9,1,10,1,11,1,17,1,11,2,17,1,12,2,11,1,17,3,12,1,9,1,11,1,9,3,11,1,9,2,11,2,16,2,10,1,17,2,11,2,16,1,9,1,11,2,12,1,9,5,12,1,8,1,12,1,16,1,9,2,8,1,9,1,8,1,13,2,6,1,13,1,7,1,30,1,6,4,30,1,6,1,29,1,6,1,28,1,30,3,28,3,6,1,16,1,9,1,11,1,10,1,8,1,9,1,13,1,7,1,13,2,6,1,13,1,6,1,30,3,29,1,28,4,30,3,28,13,30,1,28,2,30,1,6,1,9,1,17,1,11,2,17,1,12,1,17,1,16,1,11,1,12,1,10,1,9,3,13,1,9,2,13,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,7,1,8,1,13,2,8,3,9,4,8,1,9,2,8,1,13,2,9,1,6,1,13,2,8,1,13,1,8,1,13,3,6,1,13,5,8,1,6,1,8,1,6,1,9,1,6,1,13,2,8,1,13,6,9,1,8,2,9,1,16,1,13,1,9,1,13,5,8,1,13,6,8,1,13,1,8,1,13,2,7,1,8,3,13,3,9,1,13,2,8,1,6,1,13,2,8,1,13,5,8,2,6,1,13,2,9,1,8,1,28,1,30,1,28,4,30,2,28,1,30,1,28,8,30,1,28,1,30,1,28,22,14,1,17,1,16,1,13,4,30,2,28,13,29,1,30,1,6,2,7,1,8,2,9,1,16,1,17,1,13,1,28,1,6,1,28,1,30,1,28,3,24,1,6,1,30,1,28,42,6,1,24,1,28,3,30,1,17,2,10,1,9,1,6,1,29,1,6,1,30,1,7,2,6,2,9,1,17,1,12,1,28,7,29,1,28,10,}, {28,1,6,1,28,1,6,1,30,1,17,1,10,1,28,24,30,1,28,26,29,1,8,1,24,1,9,1,17,1,8,2,6,1,28,2,30,2,11,2,13,2,8,1,9,2,11,1,17,2,16,1,17,1,11,1,17,2,12,1,13,2,6,1,29,1,6,1,30,1,28,1,8,1,24,1,8,1,13,2,7,2,6,1,13,1,11,1,17,3,11,1,9,3,8,1,9,1,13,1,9,1,8,1,9,1,17,2,11,1,13,1,8,1,6,1,7,1,6,1,13,1,8,1,7,1,28,36,7,1,13,1,9,2,12,2,7,1,29,1,6,1,30,2,29,1,28,1,9,1,17,5,16,2,9,2,13,5,7,1,29,1,13,1,6,1,13,1,7,1,13,2,8,2,9,2,17,2,16,1,17,2,11,1,28,18,30,1,6,2,28,1,30,1,28,1,30,1,6,1,28,1,7,2,6,1,30,1,28,13,30,2,28,7,30,1,28,2,30,1,28,3,30,1,6,3,13,1,9,1,11,1,17,1,10,1,12,3,17,5,12,1,17,3,12,1,17,1,11,1,12,1,17,9,9,1,17,49,12,1,17,1,12,1,17,3,11,2,12,1,17,9,11,1,17,3,12,1,17,1,10,1,11,1,17,1,12,1,17,1,11,1,9,1,11,1,9,1,12,1,11,1,17,3,12,1,17,2,9,1,17,1,12,1,11,1,17,1,12,2,11,1,12,1,9,2,17,2,11,2,9,1,10,1,9,1,12,1,10,1,9,1,24,1,12,1,10,1,12,1,24,1,17,1,10,2,11,1,10,1,24,1,12,1,9,2,8,1,12,1,10,2,9,3,11,1,9,2,10,1,11,2,9,1,11,1,10,2,12,1,17,1,11,1,17,1,11,2,16,1,17,69,12,1,17,2,11,1,17,8,12,2,17,1,12,1,17,4,12,4,17,17,12,1,17,23,12,1,17,3,12,1,9,1,13,4,24,1,13,1,8,1,13,1,8,2,13,2,7,5,6,2,13,1,7,1,6,1,29,1,7,1,30,1,7,2,6,2,30,2,29,1,13,3,6,2,13,3,24,1,13,1,8,2,9,1,11,1,10,1,9,1,8,1,11,1,9,1,13,1,8,1,24,1,9,1,11,2,10,1,9,2,12,1,9,1,13,1,11,1,9,1,8,2,9,2,10,1,8,4,13,1,8,1,7,1,13,1,7,1,13,2,8,1,7,1,8,1,13,2,8,3,13,1,6,2,29,1,6,1,30,2,6,1,30,1,28,1,29,1,30,2,29,1,30,4,28,1,30,2,28,1,30,4,6,1,30,1,28,1,30,2,28,2,30,3,29,1,28,1,30,1,28,1,6,1,29,1,30,1,28,1,30,2,6,2,28,1,30,1,29,1,30,1,29,1,6,1,30,2,29,1,30,1,29,2,30,1,29,2,30,1,6,1,28,1,30,1,6,6,30,1,7,1,6,1,30,1,29,1,6,1,30,1,29,2,6,1,28,1,30,3,29,1,28,1,29,1,28,1,29,1,30,4,28,1,30,2,28,11,30,1,6,6,13,1,24,1,12,2,11,1,17,19,12,1,17,3,11,1,12,1,17,2,10,1,11,1,17,11,12,1,17,5,12,1,17,16,11,1,17,1,12,3,11,1,17,5,12,1,17,1,11,1,17,5,11,1,12,1,11,1,17,1,12,1,11,1,17,1,11,1,9,1,13,1,24,1,13,1,8,1,13,1,24,1,9,1,13,3,8,1,13,2,7,1,8,1,13,1,6,1,7,1,6,1,13,1,6,1,13,2,30,1,6,3,7,2,6,1,13,1,6,2,13,1,7,1,9,1,8,1,13,1,8,2,13,3,24,1,8,1,13,1,8,1,24,1,8,1,9,1,10,1,11,1,9,2,17,1,6,1,28,1,30,2,28,1,6,2,30,1,6,1,29,1,28,5,30,5,28,1,6,2,30,1,28,2,30,1,6,1,30,2,28,1,30,2,28,7,30,1,28,3,30,1,28,2,30,1,28,3,13,2,6,1,30,2,28,3,30,1,28,1,6,1,28,2,30,1,28,3,29,1,28,1,30,1,28,3,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,6,1,28,3,30,1,28,3,30,2,28,5,30,4,28,4,30,1,6,1,30,1,28,1,30,2,28,5,30,1,13,1,30,3,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,3,28,6,30,2,28,1,13,1,11,1,13,1,6,2,13,5,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,6,1,30,1,6,1,30,3,6,1,30,2,28,1,30,2,28,1,30,2,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,6,1,30,3,28,1,30,1,29,1,30,3,6,1,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,5,28,2,30,2,28,7,30,3,28,2,30,2,28,4,30,2,28,3,6,2,28,5,30,1,28,4,30,4,28,4,6,1,16,1,6,1,28,7,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,7,30,1,28,7,30,1,6,1,28,3,30,1,28,3,30,1,28,2,9,1,28,7,30,1,28,4,30,2,7,1,6,1,30,1,29,1,6,1,30,2,28,2,30,1,28,5,30,1,28,3,30,1,28,5,30,1,28,11,30,1,28,2,30,3,28,1,6,1,28,1,30,1,28,4,6,2,28,2,30,1,28,1,6,2,28,2,30,1,28,1,30,1,28,6,30,1,28,4,30,1,28,13,30,3,13,1,6,1,28,6,30,4,28,1,30,1,28,4,30,3,28,1,29,1,28,3,30,1,28,4,30,1,29,1,30,1,8,1,30,2,28,4,6,1,28,17,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,6,1,8,2,12,2,24,1,10,1,24,3,25,3,8,1,26,2,9,1,17,15,16,1,11,1,17,1,11,1,9,1,12,1,9,1,10,1,17,1,12,1,17,1,9,2,10,1,9,3,13,1,9,5,11,1,10,1,11,1,9,2,11,2,9,2,11,2,16,1,9,1,12,1,9,2,8,1,25,1,26,1,25,1,24,1,25,2,27,1,25,1,26,1,7,1,28,7,30,2,6,1,28,14,6,1,17,1,16,1,17,3,16,1,17,1,13,1,6,1,30,2,28,2,30,1,28,2,6,3,30,1,6,1,30,4,28,5,30,1,28,2,30,4,28,1,30,1,29,1,30,2,6,6,13,1,7,2,6,2,13,2,6,1,13,3,8,1,13,2,8,1,13,8,9,1,13,2,7,2,8,1,6,1,8,1,13,1,8,1,13,1,10,1,13,3,9,1,8,1,9,1,8,1,9,1,10,1,13,1,9,2,11,1,9,1,11,1,8,2,13,1,8,2,13,1,8,1,13,1,9,1,8,1,13,1,12,1,17,8,9,1,12,1,17,1,8,2,13,2,6,1,13,2,7,1,29,1,6,1,7,1,30,1,6,2,30,3,28,1,6,1,29,1,30,2,28,1,30,2,6,1,30,1,6,3,29,1,6,1,7,1,6,2,7,1,6,1,7,1,6,2,30,1,13,1,30,1,7,2,6,1,13,2,6,1,13,8,6,1,13,2,7,1,13,2,7,1,6,2,13,1,7,2,6,2,28,2,30,3,29,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,30,2,6,9,29,2,30,1,28,4,13,2,30,2,6,1,30,1,6,2,30,1,6,2,30,2,6,1,30,1,7,1,6,1,29,1,6,3,13,1,6,1,29,1,13,1,7,1,6,1,13,1,6,1,7,1,6,1,13,1,7,1,13,4,6,1,7,1,6,1,13,2,7,1,13,1,8,1,13,2,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,8,2,9,2,11,2,10,1,17,22,11,1,9,3,10,3,12,1,11,1,12,1,17,10,16,2,17,5,11,1,9,1,16,1,11,1,9,1,8,1,13,1,8,1,13,9,29,1,6,4,7,1,6,1,30,1,6,1,29,1,7,1,6,1,30,1,28,1,29,1,28,1,30,3,29,1,30,3,28,1,30,1,29,1,30,1,28,1,29,1,30,1,6,1,30,1,29,1,30,2,6,5,7,1,6,1,13,1,7,1,9,1,8,1,13,1,8,1,9,1,8,1,9,3,11,3,9,1,12,1,17,1,9,1,11,1,9,1,17,2,11,1,17,1,11,1,9,1,16,1,9,1,11,2,9,2,11,1,9,2,8,1,9,1,16,1,17,3,11,1,12,1,11,3,9,1,11,1,9,1,8,1,17,1,13,1,9,1,16,1,11,1,9,5,12,1,13,1,9,1,8,1,13,2,29,1,13,1,30,2,6,2,30,1,28,1,30,1,28,3,30,2,6,1,29,1,13,1,17,1,9,2,11,1,9,2,8,1,13,1,6,1,13,1,6,1,7,1,6,2,29,1,30,2,13,1,6,1,28,1,30,2,28,1,30,1,28,14,30,1,28,1,30,2,10,1,16,2,17,1,11,1,9,1,17,1,12,1,16,1,9,1,11,1,9,2,16,1,9,5,13,1,8,1,9,1,13,2,8,1,9,1,13,4,8,1,9,1,8,1,9,3,11,1,9,1,8,2,9,2,11,1,13,1,8,1,9,2,8,2,13,5,8,1,13,2,7,1,13,1,6,1,13,1,6,1,13,4,8,1,6,1,7,1,6,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,13,1,9,1,13,5,8,1,13,4,10,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,13,4,8,1,13,2,8,2,13,3,9,1,8,1,9,1,13,1,9,3,13,1,28,8,30,1,28,34,16,1,17,1,16,1,9,1,6,1,7,1,30,1,6,2,30,1,28,9,30,1,28,2,6,1,29,1,6,2,8,1,13,1,8,1,12,1,16,1,10,1,6,1,28,1,30,1,6,1,28,3,6,1,8,1,7,1,28,43,30,1,29,1,28,3,13,1,17,3,6,2,28,1,30,1,6,2,29,1,30,1,13,1,11,2,17,1,28,7,29,1,30,1,28,9,}, {28,1,30,1,28,3,17,1,24,1,28,24,30,1,28,23,30,1,28,1,7,1,30,1,6,1,24,1,17,2,9,1,7,1,29,2,28,2,6,1,10,1,8,1,9,1,13,2,9,2,17,1,12,1,17,6,10,1,8,1,13,1,7,1,28,2,6,1,28,1,13,1,11,2,13,3,6,1,7,1,13,1,17,3,16,2,11,1,9,1,8,4,9,1,10,1,16,1,17,2,11,1,10,1,13,1,6,1,8,2,7,2,6,1,28,35,6,1,7,1,13,1,8,1,9,1,17,1,10,1,8,1,28,1,6,2,29,1,6,1,29,1,9,1,17,5,16,1,17,1,9,1,16,1,24,1,9,1,8,1,7,1,8,1,7,1,6,1,13,1,30,1,6,1,30,1,8,1,9,2,10,1,9,1,11,1,12,1,16,1,17,3,16,1,28,18,30,1,6,2,30,2,6,1,30,1,13,2,7,1,6,1,29,2,28,9,30,6,28,1,30,2,28,1,30,1,28,1,30,1,28,5,30,3,6,2,13,2,11,2,12,2,17,7,12,2,17,1,12,1,17,1,10,1,12,1,17,3,12,1,10,1,12,3,17,1,11,1,12,1,17,1,12,1,17,1,12,1,17,2,11,1,17,23,12,1,17,16,12,1,17,7,12,1,17,4,11,1,17,9,12,1,17,3,10,1,17,2,12,3,17,2,12,1,17,1,11,1,12,1,11,1,17,1,10,2,9,1,17,1,11,1,12,2,10,1,17,1,12,1,11,1,9,2,11,1,12,2,10,1,17,1,10,1,9,1,12,2,9,1,10,1,11,2,10,1,11,1,9,1,10,1,9,1,12,1,11,1,9,1,10,1,9,1,13,1,9,1,10,1,24,1,12,1,10,1,9,1,11,1,10,1,9,1,11,1,12,1,11,1,9,1,12,1,9,1,11,1,10,1,12,1,11,1,10,1,17,2,10,1,11,3,17,66,12,1,17,1,12,1,17,1,11,1,12,1,17,1,12,1,17,4,12,1,17,6,12,1,17,5,11,1,17,1,12,1,17,18,12,1,17,23,11,1,12,1,9,1,13,1,9,1,8,2,24,1,8,1,13,2,8,1,9,1,7,1,13,2,6,1,7,5,6,1,7,1,6,1,30,1,6,1,7,1,6,7,13,4,7,1,13,3,8,1,13,1,9,1,8,2,10,1,11,1,9,2,11,1,9,1,11,1,8,1,10,1,9,3,13,1,12,1,10,1,9,1,10,2,8,1,24,1,8,1,13,2,9,2,8,2,13,1,8,2,13,1,8,1,13,2,7,1,6,1,7,1,13,3,8,1,13,2,7,2,6,4,30,2,6,2,30,1,6,1,30,4,6,1,29,2,30,4,6,1,29,1,30,1,29,1,30,2,29,1,30,1,6,1,30,2,7,1,30,6,28,3,6,1,30,1,28,1,30,3,29,2,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,6,1,30,1,29,1,30,1,29,3,30,1,6,1,28,1,29,1,6,1,30,1,29,1,6,1,28,1,30,1,6,1,29,1,30,1,6,2,28,1,30,1,29,2,30,5,28,1,30,1,28,11,30,1,28,2,30,2,7,1,6,1,7,1,6,1,13,1,9,1,11,1,17,2,12,1,17,20,12,1,11,1,17,6,12,1,17,24,12,1,17,12,12,1,17,10,11,1,17,1,12,1,17,1,12,2,17,1,11,2,10,2,9,2,12,1,10,1,24,1,9,1,24,2,13,1,8,1,24,1,13,1,7,2,13,1,8,1,7,1,13,1,29,1,7,3,6,1,7,1,13,1,7,2,6,1,7,1,6,1,7,2,8,1,7,2,6,2,13,3,8,1,24,2,7,1,10,1,13,2,24,1,13,1,8,4,13,3,8,1,11,1,17,1,30,2,28,1,30,3,6,2,30,6,28,2,6,3,30,2,28,2,30,1,28,1,30,4,6,1,28,2,30,1,29,1,30,1,28,2,30,2,29,1,30,1,28,1,30,2,28,1,30,1,28,3,13,1,8,1,6,1,30,1,28,2,30,2,28,3,29,1,30,1,28,2,30,1,28,7,30,1,28,2,30,1,28,2,30,1,28,4,30,3,6,1,28,1,30,2,28,5,30,6,28,1,30,1,28,5,30,2,28,2,30,2,28,6,30,1,28,1,30,2,28,1,30,4,28,1,30,1,28,1,30,1,28,4,30,3,28,6,30,2,6,1,30,2,28,2,30,1,28,7,30,1,28,5,30,2,28,1,30,2,28,3,8,1,10,1,13,2,6,2,13,2,6,1,30,1,28,4,30,1,28,1,30,1,28,1,30,3,29,1,30,4,28,2,30,1,6,1,29,1,30,1,28,2,29,1,28,2,30,1,28,2,30,1,28,2,30,4,28,1,30,1,28,8,6,1,28,1,30,1,28,1,6,1,28,2,6,1,28,1,30,9,28,2,30,3,28,2,30,1,28,7,30,1,28,4,30,2,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,4,28,1,30,5,13,1,30,1,28,3,30,1,28,2,30,1,28,6,30,1,28,2,30,2,13,1,11,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,9,30,2,28,1,30,2,28,2,30,1,28,4,30,4,28,3,30,1,28,2,30,1,6,1,28,3,30,1,28,9,30,3,28,2,30,1,28,1,30,2,28,1,30,1,28,19,30,1,28,2,30,1,28,4,30,2,28,3,30,1,28,1,6,1,30,1,28,1,30,2,28,3,6,1,28,1,30,1,28,1,30,1,13,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,2,28,14,30,2,6,1,28,1,9,2,30,1,28,9,30,1,28,1,30,3,28,1,6,1,30,2,29,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,13,1,30,2,28,2,30,1,28,6,30,1,6,1,28,1,30,1,28,7,30,4,28,11,6,1,13,1,24,1,12,2,8,1,24,2,10,1,24,1,27,2,26,1,8,2,24,2,17,16,11,1,17,1,9,4,11,1,17,1,9,3,10,1,9,1,11,2,13,1,9,4,17,1,9,1,11,3,9,3,10,1,9,1,11,3,10,3,11,1,12,1,24,1,8,4,25,1,26,1,27,1,25,1,6,1,29,1,28,7,6,1,30,1,29,1,28,1,30,1,28,12,6,1,17,1,16,2,17,3,16,1,10,1,6,1,28,1,30,3,6,2,30,1,6,1,30,1,6,1,30,4,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,5,6,1,30,4,7,1,13,1,7,1,13,1,6,1,13,1,29,1,13,2,6,1,13,14,8,1,13,3,9,1,8,1,13,4,9,1,13,1,8,3,13,2,9,3,13,1,10,1,9,1,8,1,9,4,13,1,8,1,9,1,8,1,9,2,8,1,13,1,8,2,9,2,12,1,17,7,12,1,17,1,9,1,13,1,9,2,13,1,7,1,13,1,6,1,7,1,13,1,29,1,30,1,6,1,30,2,28,1,30,1,29,1,28,1,29,1,6,1,30,1,6,1,30,3,29,1,30,1,7,1,6,3,13,1,6,2,13,2,6,3,7,1,6,6,13,1,6,2,13,1,7,1,13,1,6,2,13,1,6,1,13,1,9,1,6,1,7,1,13,5,7,1,6,1,7,1,6,1,13,2,30,1,29,1,30,1,28,2,30,1,28,1,30,1,29,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,6,7,30,3,28,1,29,1,28,2,13,1,6,1,30,2,28,1,6,1,28,1,29,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,7,1,6,5,13,3,6,1,13,2,7,2,13,1,29,1,8,1,6,2,13,4,7,1,13,1,8,1,13,6,11,1,9,7,10,1,12,1,10,1,17,21,16,1,12,1,9,1,10,1,9,3,10,1,9,1,11,1,10,1,9,2,17,1,12,1,16,1,17,10,16,1,11,3,16,1,9,1,8,1,9,1,13,1,8,1,13,7,6,1,7,2,6,5,30,1,6,6,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,6,2,13,2,6,1,13,2,9,1,8,1,13,1,9,3,8,1,9,3,17,1,11,1,16,1,10,1,11,2,9,1,12,1,16,1,11,2,10,1,11,1,9,2,16,1,6,1,17,1,9,1,16,1,11,2,9,1,12,1,16,1,17,1,9,1,17,1,11,1,9,1,17,1,9,3,8,1,9,2,12,1,9,1,12,1,8,1,9,1,8,1,13,1,9,1,8,2,13,2,8,1,7,1,29,1,6,2,30,2,6,1,28,1,30,5,28,1,30,2,29,1,8,1,16,1,17,1,9,2,8,1,13,4,8,1,6,1,7,2,29,2,6,1,30,3,28,21,30,2,9,1,16,1,11,2,17,1,11,1,10,1,17,1,11,1,9,1,11,1,10,1,9,1,8,1,12,1,11,1,9,1,8,1,9,2,8,2,13,1,9,1,13,1,9,1,13,1,7,1,6,1,13,2,8,2,9,1,8,1,9,1,6,1,13,1,9,1,8,1,13,1,6,1,7,1,13,2,8,1,13,1,8,2,13,2,8,1,13,2,6,1,13,1,8,1,6,1,13,6,8,1,29,1,13,1,6,1,13,2,29,1,13,1,8,1,13,3,7,1,13,2,6,1,13,3,30,1,8,1,13,2,6,1,13,5,7,1,13,2,9,1,13,1,7,1,13,1,8,1,9,1,13,4,6,1,13,1,29,1,13,3,8,1,13,6,9,1,8,1,6,1,9,1,8,1,13,1,28,2,30,1,28,9,30,2,28,5,30,2,28,1,30,1,28,2,30,1,28,17,16,1,17,1,8,1,9,1,13,2,7,1,6,2,28,12,6,4,8,1,6,1,9,3,16,1,11,1,8,1,28,2,30,1,28,3,13,1,6,1,29,1,28,43,29,1,7,1,28,4,17,2,9,1,13,1,30,2,28,1,30,1,6,1,30,1,29,1,9,1,10,1,16,1,17,1,28,7,30,2,28,9,}, {28,4,29,1,12,1,13,1,30,1,28,49,6,3,24,1,17,1,11,1,9,1,29,1,6,1,28,3,6,1,13,1,11,1,8,2,13,1,8,1,11,1,16,3,17,1,11,1,17,3,10,1,13,2,29,1,6,1,29,1,30,1,7,2,9,1,12,1,8,1,6,1,13,3,7,1,17,2,16,1,11,4,13,2,8,1,10,1,9,1,12,1,17,3,11,1,9,1,7,1,13,1,6,2,29,1,9,1,6,1,28,36,6,1,7,1,24,1,11,2,9,1,8,1,29,1,7,1,30,1,6,1,30,1,13,1,8,1,17,6,16,1,11,1,9,1,8,1,13,1,6,1,13,1,6,1,13,4,8,1,24,1,8,1,13,2,10,1,9,1,16,1,11,1,17,2,16,1,17,1,16,1,6,1,28,17,7,1,6,1,30,1,6,2,13,2,8,1,13,2,6,1,28,1,30,1,28,4,30,1,28,3,30,3,29,1,30,2,28,1,30,2,28,1,30,1,28,5,30,1,28,2,30,3,6,1,13,2,8,1,9,1,17,2,10,1,17,1,12,1,11,1,17,3,12,1,11,1,17,1,11,1,17,3,12,1,11,1,12,3,17,2,12,2,17,1,10,1,17,2,12,1,17,3,12,2,17,46,12,1,10,1,17,8,12,1,17,2,12,1,17,7,11,1,17,2,10,1,17,1,9,1,17,1,12,1,11,2,17,6,12,2,10,1,12,1,9,1,10,1,9,1,17,2,24,1,12,1,9,1,11,1,10,1,17,1,10,3,11,1,12,1,11,4,10,1,12,1,9,1,12,1,9,1,10,1,11,1,9,2,8,1,10,1,9,1,10,1,9,1,13,1,24,1,9,3,12,1,9,2,12,1,10,1,11,1,17,1,12,1,9,2,12,1,11,1,9,1,11,1,12,1,11,4,17,72,11,1,12,1,17,2,11,2,12,2,17,8,11,1,17,3,11,1,17,14,12,1,17,25,11,1,12,1,9,1,17,1,10,1,9,1,13,1,9,1,7,1,24,1,8,1,13,3,8,1,13,1,7,4,6,2,13,1,6,1,7,1,13,1,7,1,6,1,7,1,13,1,6,4,29,1,6,1,29,1,13,1,8,1,13,1,6,1,13,3,6,1,8,1,13,2,8,1,9,1,10,1,8,1,9,5,8,2,9,2,11,1,8,1,17,1,9,1,11,1,8,1,9,1,12,1,8,2,13,1,8,1,13,6,7,2,13,3,7,1,13,2,8,2,6,1,13,1,7,1,13,1,6,3,30,1,29,2,30,3,6,1,28,1,30,2,6,1,30,1,29,1,30,1,6,2,28,2,30,1,28,1,30,1,28,1,30,3,6,1,30,1,28,1,30,2,28,1,6,1,30,1,29,2,30,2,28,1,30,2,28,1,30,6,6,1,30,1,29,1,30,2,6,1,30,2,29,2,30,1,29,1,30,2,6,1,30,1,28,1,29,1,30,1,29,2,6,1,30,1,6,1,29,1,28,1,6,2,30,4,6,1,29,1,30,1,29,1,30,6,28,2,30,1,28,3,30,1,28,8,30,1,28,1,30,1,28,1,30,1,13,4,9,1,11,1,17,4,12,1,17,2,12,1,10,1,17,1,12,1,17,1,12,1,17,6,11,1,17,8,12,1,17,2,11,1,17,33,11,1,17,4,12,1,10,1,17,1,12,1,17,11,12,2,17,1,12,1,17,1,10,1,17,1,9,1,10,1,9,1,8,1,10,1,8,1,13,1,8,4,7,2,13,4,6,1,7,5,29,1,13,1,7,2,13,1,6,6,7,1,6,1,29,2,7,1,13,1,8,2,13,3,8,5,24,1,8,1,13,1,8,1,13,1,9,1,8,1,11,1,17,1,30,4,29,1,30,1,6,1,30,1,6,1,28,6,30,2,6,1,30,2,29,1,28,2,30,3,28,1,6,1,30,4,28,3,30,1,28,1,30,1,28,2,30,1,28,2,6,1,28,2,30,1,13,2,8,1,7,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,11,30,3,28,2,30,1,28,4,30,1,28,2,30,1,28,1,13,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,4,30,1,28,1,6,1,30,3,28,1,30,4,28,4,30,1,28,3,30,1,28,1,30,1,6,1,28,1,30,4,28,1,30,1,28,2,30,1,28,1,30,3,28,3,6,1,13,1,6,1,29,1,30,3,28,2,30,2,28,1,30,1,28,1,30,1,28,4,30,3,28,1,30,1,29,1,28,1,30,2,28,2,11,1,9,1,13,2,30,1,6,2,13,1,6,1,28,4,30,1,28,3,30,4,6,1,28,1,6,1,30,2,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,2,29,1,6,1,30,3,28,7,30,1,28,1,30,1,28,2,30,2,28,3,6,1,28,2,30,1,28,1,30,1,28,2,30,3,28,2,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,3,30,1,28,4,30,2,28,1,30,1,28,1,30,3,28,3,6,1,30,1,28,4,30,1,28,1,13,1,6,1,28,3,30,3,28,3,30,1,28,3,30,2,28,2,30,2,9,1,13,1,28,1,30,1,28,3,30,1,28,4,6,1,30,2,28,9,30,1,28,1,30,1,28,2,30,2,28,5,30,2,28,1,6,1,30,5,28,2,29,1,28,2,30,4,28,2,30,1,28,4,30,2,28,1,30,1,28,6,30,1,28,8,30,1,28,9,30,2,28,12,30,1,28,1,30,2,28,1,29,1,30,1,28,4,30,1,28,2,30,2,6,1,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,4,30,1,6,1,28,1,29,1,6,1,28,2,30,2,28,4,6,1,13,2,7,1,9,1,13,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,1,30,1,13,1,30,1,28,3,30,1,28,7,6,2,30,1,28,1,30,1,28,9,30,1,28,7,30,1,13,1,6,1,30,1,28,6,30,2,28,3,29,2,8,1,12,2,9,1,12,1,24,1,8,1,10,1,24,1,26,1,27,1,26,1,25,2,24,1,10,1,17,16,12,1,17,1,11,1,10,1,9,1,11,1,17,3,12,1,8,1,9,4,13,1,8,1,9,2,11,4,9,1,8,1,9,1,11,2,8,1,9,2,11,1,9,2,11,1,9,1,12,1,9,1,8,1,25,1,24,1,8,1,24,2,29,1,27,1,8,1,6,1,30,1,28,7,29,3,28,1,29,1,28,12,8,1,17,3,11,1,17,4,13,1,30,1,28,1,30,1,7,1,6,2,29,1,6,1,28,1,30,3,28,2,30,1,28,3,30,1,28,3,30,1,28,2,30,4,6,1,30,1,6,1,30,2,13,2,30,1,6,2,13,1,6,4,13,2,6,1,13,2,8,1,13,2,8,1,13,8,7,1,13,2,8,1,13,3,8,1,13,6,8,2,9,2,13,1,9,7,11,1,8,1,9,2,8,1,9,2,8,1,9,4,8,2,17,5,16,1,12,1,17,1,11,2,9,2,8,1,13,1,7,2,6,1,13,1,6,1,28,1,30,1,28,2,30,8,6,1,30,1,28,1,29,1,30,2,6,7,13,1,6,1,7,1,6,2,30,1,6,3,29,1,7,2,6,1,29,1,13,2,30,1,6,2,13,1,6,4,13,3,6,1,13,1,6,1,7,1,6,2,13,4,28,1,30,4,28,1,30,2,29,1,30,2,6,1,30,2,6,1,30,1,6,2,7,1,29,1,6,2,7,1,30,5,6,1,30,1,28,1,6,1,13,2,6,1,29,2,30,1,28,1,6,1,30,1,6,1,29,2,30,1,6,3,30,1,6,1,29,1,6,2,30,1,6,3,13,2,6,1,7,1,6,1,13,1,6,1,7,1,13,1,6,1,13,2,6,1,13,7,6,1,9,1,13,1,10,1,9,1,8,1,9,2,8,2,9,2,11,1,17,1,11,2,17,2,11,1,17,2,12,1,17,15,11,1,10,1,9,3,11,1,9,1,10,1,9,5,11,1,17,1,12,1,17,9,16,1,9,3,10,1,13,1,8,1,9,1,13,1,7,1,9,1,13,2,6,1,13,3,7,1,8,1,13,1,6,6,7,1,6,4,30,1,29,1,30,3,28,1,30,2,29,1,28,1,30,4,28,1,30,1,29,1,30,2,6,1,30,3,6,1,28,1,6,2,29,2,6,3,13,1,6,1,13,1,6,2,9,1,13,4,9,1,8,2,9,2,11,1,9,2,11,1,9,2,11,2,17,1,9,1,17,1,16,1,10,1,16,1,9,1,11,1,9,1,17,1,13,1,11,1,8,1,9,1,11,1,10,1,16,1,17,4,11,1,10,1,12,1,9,2,11,2,9,1,11,1,10,1,12,1,11,1,9,3,13,2,9,1,8,2,13,1,6,3,28,1,29,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,1,10,2,11,2,9,2,8,1,13,4,6,1,8,1,7,1,6,3,13,1,6,1,28,3,30,1,28,19,29,1,11,1,16,1,12,1,11,1,17,1,16,1,17,1,16,1,9,1,12,1,11,1,10,1,16,1,8,2,11,1,9,1,8,1,9,2,8,2,9,1,13,1,9,1,13,1,8,1,9,2,13,1,12,1,11,2,13,1,9,2,8,1,11,2,8,2,13,1,8,1,13,1,6,1,7,1,13,10,8,1,6,1,13,5,6,1,13,1,7,2,6,1,7,1,13,2,6,1,13,3,9,1,8,2,6,1,13,1,8,1,13,1,7,1,8,1,13,4,7,1,6,1,13,2,7,1,8,2,13,2,7,1,13,1,8,2,9,1,6,1,13,3,6,1,8,1,13,1,7,1,13,1,8,1,13,3,9,1,13,1,8,2,13,1,8,1,13,1,9,2,13,1,28,5,30,1,28,1,30,1,28,35,17,3,9,1,13,1,6,1,13,1,30,1,13,1,28,13,30,1,6,2,13,1,8,1,9,2,17,2,16,1,6,1,28,6,13,2,8,1,6,1,28,42,13,1,6,1,28,3,30,1,17,2,11,1,29,1,30,2,6,1,30,3,6,1,7,1,9,1,17,1,12,1,30,1,28,6,6,1,29,1,28,9,}, {28,2,30,1,28,2,9,1,10,1,28,44,30,1,28,5,30,1,29,1,7,1,8,1,17,1,11,1,9,1,13,1,30,2,28,3,9,2,8,1,13,2,24,1,10,1,16,1,17,7,16,1,13,1,8,1,6,1,13,1,28,1,6,2,13,1,11,1,10,1,13,2,6,1,13,2,6,1,17,4,16,1,11,1,9,3,8,1,9,2,16,1,17,3,16,1,9,1,30,1,13,1,7,1,6,2,13,1,7,1,28,35,29,2,7,1,9,3,12,1,13,2,6,2,13,1,6,1,29,1,13,1,17,7,11,1,8,1,9,1,13,1,8,1,13,1,6,2,30,1,13,1,6,1,13,1,6,1,13,1,8,1,12,1,9,1,11,2,16,1,17,1,11,1,17,3,30,1,28,17,9,1,13,2,7,1,9,1,13,2,7,1,13,2,30,1,6,1,30,1,28,3,30,1,28,4,30,3,28,2,30,1,28,1,30,4,28,1,30,9,29,1,30,1,13,1,8,1,9,1,17,1,11,1,12,2,17,2,12,1,17,1,12,1,17,1,12,2,17,1,12,1,17,2,11,1,10,1,17,3,10,2,12,1,17,3,12,1,17,1,11,1,12,1,11,1,17,1,10,1,11,1,12,1,17,1,11,1,12,1,17,22,12,1,17,21,11,1,12,1,17,14,11,1,17,2,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,2,10,1,12,2,11,1,17,2,12,3,9,1,10,1,11,1,17,1,10,1,9,2,10,2,12,1,10,1,24,1,9,1,10,1,11,1,9,1,17,1,8,1,12,1,9,2,12,1,9,1,10,2,9,2,12,1,9,1,12,1,24,1,9,1,13,1,11,1,9,2,12,1,11,1,9,1,10,1,9,1,10,3,9,1,11,1,12,1,17,1,9,1,12,1,11,2,9,1,12,1,11,2,9,1,11,1,9,1,11,1,10,1,16,1,17,72,9,1,17,1,11,1,17,1,12,1,17,1,12,1,17,5,12,1,11,1,17,1,12,1,17,1,12,1,17,18,9,1,17,20,12,1,17,2,12,1,9,1,10,1,9,1,24,1,8,3,9,1,13,2,8,1,13,1,8,1,9,1,8,1,13,2,7,1,8,1,13,5,7,1,13,2,8,1,6,1,7,1,6,1,7,1,6,1,7,2,6,1,8,1,13,1,7,1,13,1,6,1,13,1,8,1,13,1,24,2,8,1,13,1,9,1,8,1,9,1,8,1,9,1,10,1,8,1,10,1,8,1,9,2,10,1,12,2,8,1,9,1,8,1,9,2,13,1,8,1,13,1,8,1,13,3,8,1,13,1,8,1,13,1,7,2,13,1,7,1,6,1,13,2,29,1,6,1,13,1,8,1,13,1,6,3,29,1,7,1,6,1,29,2,30,1,29,2,30,1,29,1,30,1,6,1,29,1,7,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,29,1,28,1,30,3,28,1,30,4,28,1,30,9,28,1,30,1,6,1,29,2,30,2,28,1,30,1,29,1,30,2,6,1,29,1,30,5,29,2,6,1,28,2,29,2,30,1,28,1,6,2,30,1,29,1,30,4,29,1,30,1,29,1,30,1,29,1,6,1,30,2,6,1,30,7,28,1,30,1,28,11,30,1,29,1,6,2,7,1,9,1,13,1,8,1,12,1,17,2,12,1,17,2,12,1,11,1,17,2,11,1,17,1,12,1,17,2,12,1,17,3,12,1,17,6,12,1,17,44,11,1,17,3,12,1,17,5,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,11,1,12,1,10,2,9,1,12,1,9,2,24,1,8,3,13,2,24,2,13,1,7,1,13,1,7,1,13,2,6,5,13,1,29,1,7,1,13,1,7,1,6,1,29,1,13,1,7,2,13,1,7,1,30,1,6,1,13,3,6,1,13,4,8,1,24,4,8,2,9,1,8,1,13,2,8,2,16,1,13,1,30,1,28,2,6,2,30,1,29,1,30,1,6,1,28,2,30,3,28,1,30,2,6,1,30,1,28,1,30,3,28,1,30,3,28,1,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,1,13,1,9,1,6,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,2,30,1,28,7,30,3,28,1,30,2,28,5,30,2,28,1,30,1,7,1,30,9,28,1,30,3,28,3,30,1,28,1,30,3,28,2,30,2,28,2,30,1,28,2,30,3,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,5,28,1,30,1,28,1,30,3,13,2,6,1,30,3,28,6,30,1,28,4,30,1,28,7,30,2,28,3,11,1,8,2,13,1,30,1,28,1,30,1,6,1,28,5,30,1,28,2,30,3,6,1,28,1,29,1,6,1,30,1,29,1,30,1,29,1,30,2,28,1,30,1,28,1,6,1,28,1,6,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,4,6,2,28,1,30,1,28,1,30,1,28,4,6,1,28,1,30,4,29,1,30,2,6,1,30,1,28,1,30,1,28,1,6,1,28,1,6,1,30,2,28,1,30,3,28,5,30,1,28,2,30,3,28,2,30,2,28,1,6,1,30,1,6,1,28,1,30,1,28,2,30,1,29,1,13,2,9,1,13,1,6,1,13,3,30,1,28,10,30,1,28,6,30,1,13,1,16,1,13,1,30,1,28,2,30,1,28,12,30,1,28,8,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,3,29,1,30,1,28,8,30,2,28,4,30,1,28,2,30,3,28,1,30,1,28,20,30,1,28,3,30,1,28,3,30,1,28,3,30,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,2,28,3,30,1,28,4,6,2,30,2,28,9,30,1,28,4,30,1,28,6,30,2,28,5,6,1,13,1,6,1,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,3,30,1,28,1,30,1,6,1,30,1,28,9,30,1,28,1,6,1,28,4,30,1,28,10,30,1,28,2,30,2,13,1,6,1,30,1,28,6,30,1,28,6,29,1,6,1,24,1,12,1,24,1,12,2,24,2,12,1,8,1,25,1,6,1,8,1,6,1,7,1,9,2,17,18,10,1,11,2,17,3,12,1,9,1,13,2,11,1,9,1,11,1,9,2,10,1,9,3,11,1,9,4,11,1,13,1,8,1,12,1,10,3,9,2,8,1,9,1,12,1,8,1,25,1,24,2,8,2,25,1,8,1,25,1,29,1,28,7,30,2,29,2,28,14,9,1,17,3,16,1,17,4,8,1,6,1,28,1,13,1,6,1,30,1,28,1,30,2,29,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,29,1,28,1,30,1,6,1,30,2,6,1,13,2,30,1,6,4,13,2,6,1,30,1,6,1,7,1,13,3,7,1,13,3,8,1,13,5,8,1,13,8,29,1,13,1,6,1,8,1,13,1,8,1,9,1,7,1,13,2,9,3,8,1,9,1,8,1,10,1,9,3,8,1,9,2,8,2,12,1,9,3,8,1,9,1,8,1,9,1,17,5,11,1,17,1,12,1,11,1,8,1,9,1,13,1,6,1,13,1,6,1,30,1,29,1,30,3,29,1,30,2,28,1,30,2,28,1,30,1,28,1,30,3,28,2,30,1,29,1,30,1,29,1,6,2,13,1,6,1,29,1,30,1,6,7,7,1,13,1,6,1,13,5,6,1,7,1,6,1,30,1,6,3,13,1,6,1,13,4,6,1,7,1,30,1,28,1,6,2,13,1,6,1,28,1,30,2,29,1,30,2,29,2,30,1,6,1,30,1,6,2,30,1,29,1,30,2,6,1,13,1,6,1,7,1,6,1,30,2,6,1,30,1,6,2,30,1,28,2,13,3,28,1,30,1,6,1,28,1,30,2,29,3,30,2,29,1,30,2,29,1,6,1,29,1,30,2,6,1,30,2,6,1,13,1,6,1,13,1,6,2,13,1,7,1,13,3,29,1,7,1,13,6,8,1,13,1,9,2,13,3,9,1,8,2,9,1,13,1,9,1,10,1,11,1,12,1,11,1,12,1,17,1,11,1,16,2,17,17,12,1,9,1,10,1,8,1,9,5,10,2,9,1,11,1,9,1,16,1,17,8,11,2,10,1,9,2,13,1,8,1,9,1,8,2,13,4,6,2,13,1,6,1,13,1,7,1,29,1,30,1,6,1,30,1,6,3,29,1,6,2,29,1,30,2,29,1,30,4,28,2,6,1,28,2,6,1,30,3,13,1,30,5,29,1,30,1,28,1,30,1,6,1,7,1,6,1,30,3,29,1,6,1,13,1,29,1,13,2,7,1,8,1,6,1,8,1,13,1,8,1,13,2,10,1,11,1,9,4,11,1,9,1,10,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,11,1,9,2,11,1,16,1,9,1,11,1,9,1,10,1,11,1,9,1,17,1,11,2,16,1,9,1,11,1,17,2,10,1,11,1,9,1,12,1,11,1,9,1,16,1,9,1,12,1,8,1,9,1,8,2,9,1,13,4,7,1,29,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,28,2,30,3,28,1,30,1,9,1,11,1,16,1,9,2,8,1,13,1,8,1,13,1,8,1,13,3,6,2,13,2,6,1,30,4,28,14,30,1,28,3,30,1,28,1,30,1,11,1,17,1,11,1,16,2,10,1,16,1,12,1,16,1,12,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,8,1,9,3,8,2,13,1,9,2,6,1,13,2,9,3,16,1,9,1,8,1,9,1,8,2,9,3,8,1,9,2,13,4,9,1,8,1,13,1,8,1,6,1,8,1,13,1,7,1,6,1,13,6,9,1,13,4,6,2,13,5,6,1,13,2,9,1,6,1,9,1,6,1,9,1,13,3,8,1,13,2,8,2,13,1,8,1,13,4,8,1,13,3,8,2,13,10,8,1,13,3,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,28,7,30,1,28,35,17,2,11,1,13,3,6,2,30,1,28,12,6,1,30,1,6,3,13,1,9,2,8,1,11,1,10,1,28,7,8,1,13,2,6,1,28,42,6,2,28,3,6,1,17,1,16,2,30,2,6,2,13,1,30,1,6,1,29,1,13,1,17,3,28,6,6,1,30,1,28,10,}, {28,4,30,1,12,1,17,1,28,45,30,1,28,2,29,1,28,1,30,1,13,1,6,1,9,1,10,1,17,1,8,2,28,1,30,1,28,2,29,1,8,1,16,1,13,2,9,1,13,1,16,1,12,1,17,7,11,1,9,1,13,1,7,1,6,2,13,1,7,1,13,1,9,1,12,1,13,3,6,1,13,1,6,1,17,5,16,1,9,2,8,1,9,1,10,2,16,1,17,3,16,1,8,1,13,2,7,1,6,4,28,35,30,1,29,1,6,1,13,1,16,1,12,1,17,1,8,1,7,2,29,1,6,1,30,1,6,1,9,1,17,7,9,1,10,1,8,1,9,1,13,1,7,1,13,2,6,1,13,1,8,1,7,1,13,2,8,1,24,1,9,1,10,1,9,1,16,1,11,1,16,1,17,2,14,1,28,18,11,1,10,1,11,2,9,3,8,1,7,1,30,1,13,1,28,1,6,1,30,1,28,2,30,1,28,2,30,4,28,1,30,2,28,1,29,1,30,2,28,1,30,4,29,1,30,3,28,1,30,1,29,1,6,3,13,1,9,1,11,2,17,5,12,1,17,3,12,2,11,1,12,1,10,1,9,1,10,1,11,2,9,1,12,2,10,1,9,1,11,1,9,1,11,1,12,1,11,1,12,1,11,1,10,1,17,2,11,2,17,1,11,1,17,7,12,1,17,32,12,1,17,13,11,1,17,5,10,1,17,2,12,1,11,1,17,2,12,1,17,3,11,1,10,1,12,1,11,1,10,1,12,1,17,1,10,1,17,1,12,3,10,1,17,1,9,1,17,1,8,1,17,2,24,1,12,1,9,2,10,1,9,2,11,1,10,1,8,1,9,1,17,1,9,2,10,3,24,1,10,2,9,1,12,1,10,1,11,1,8,1,12,1,9,1,12,1,9,2,10,1,11,1,10,1,9,1,13,1,12,1,9,1,17,1,9,2,11,1,10,1,9,1,10,1,9,3,17,1,9,2,11,2,9,1,10,1,17,1,11,1,17,74,9,1,17,1,11,1,17,21,12,1,17,5,11,1,17,3,12,1,17,1,11,1,17,14,10,1,17,2,11,1,8,1,12,1,9,1,10,2,24,1,8,1,13,1,8,1,13,1,24,1,13,1,7,1,8,1,24,1,8,1,13,1,8,1,13,1,7,1,8,2,13,1,6,1,13,2,7,1,13,1,8,1,13,1,6,1,7,1,13,2,7,2,6,1,13,2,7,2,6,1,7,1,13,2,8,3,24,1,9,2,8,1,9,6,8,1,11,1,13,1,8,1,10,1,24,1,8,1,9,2,8,1,11,1,13,1,8,1,13,1,24,1,13,1,8,1,13,2,6,1,8,1,13,1,7,1,13,1,7,1,13,4,29,1,13,3,7,1,13,1,7,1,6,2,13,1,30,1,29,1,30,1,6,1,29,2,6,2,30,4,29,1,28,1,30,1,6,1,30,1,29,3,6,1,30,1,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,1,6,1,30,1,28,1,30,1,28,4,29,1,30,1,29,1,7,1,30,1,6,1,30,1,28,1,30,2,29,2,30,1,6,1,30,1,28,1,30,1,29,1,30,1,29,1,6,1,30,2,6,2,30,2,6,1,29,1,30,1,29,1,6,4,30,3,29,1,30,2,29,1,28,1,30,1,28,15,30,4,6,2,8,1,12,2,17,1,12,1,17,2,12,1,17,1,9,1,17,1,9,1,12,1,17,1,12,2,17,2,12,1,11,3,12,1,17,1,12,1,11,1,12,1,17,2,11,1,12,1,11,1,17,3,12,1,17,40,11,1,17,10,12,1,17,5,11,2,12,1,9,1,11,1,10,1,9,1,10,1,24,3,9,2,13,1,24,1,8,1,13,4,30,2,6,3,29,2,6,3,7,1,13,1,6,2,7,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,13,1,7,1,8,1,13,2,8,1,13,2,24,1,8,1,13,1,24,1,8,1,13,1,9,2,8,1,9,1,8,1,16,1,7,1,29,1,30,2,6,1,7,1,30,2,29,1,30,1,28,2,30,2,28,1,30,4,28,1,30,2,28,3,30,5,29,1,28,1,30,1,28,2,30,1,28,1,30,4,28,3,30,1,28,1,6,1,9,1,6,1,30,1,6,1,30,1,6,1,30,1,28,3,30,1,28,1,30,1,6,1,30,2,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,3,30,3,28,1,29,1,30,1,28,4,30,1,28,2,6,2,30,2,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,4,28,1,30,3,28,1,30,2,28,1,6,1,30,1,29,1,30,1,28,3,30,1,28,2,30,1,28,2,30,6,28,1,30,3,28,1,30,2,28,1,30,2,6,2,28,2,30,2,28,5,30,1,28,6,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,2,16,1,13,2,7,1,28,3,30,1,29,1,28,3,30,1,28,1,6,2,30,1,6,1,30,2,6,1,28,2,29,1,30,1,28,1,30,3,28,1,30,3,28,1,6,1,30,3,28,4,30,1,28,6,30,2,28,5,30,1,28,2,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,4,28,1,6,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,7,30,1,28,4,29,1,6,1,7,1,28,3,30,1,13,2,30,1,28,1,6,3,28,19,30,1,28,1,6,1,16,1,30,2,28,2,30,1,28,7,30,1,28,19,30,1,28,3,30,1,28,11,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,4,30,2,28,3,30,1,28,4,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,1,30,1,13,2,30,1,28,3,30,1,28,8,30,1,28,11,30,1,28,3,13,2,9,1,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,7,29,1,28,2,30,1,28,5,30,1,28,5,30,1,28,3,30,1,28,1,30,1,6,1,29,1,28,1,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,1,6,1,13,1,10,1,9,1,24,1,10,2,8,1,24,2,7,1,8,1,26,1,8,2,29,1,12,1,11,1,17,18,11,2,17,1,12,1,11,1,17,3,10,2,9,6,10,1,9,2,17,1,9,2,13,1,9,1,11,1,9,1,8,1,9,1,8,2,11,2,10,1,9,1,8,2,24,1,8,1,25,1,15,1,8,2,25,1,27,2,28,3,30,1,28,3,30,2,6,3,28,14,13,1,17,2,16,1,17,5,11,1,6,4,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,5,28,1,30,1,6,5,13,1,6,2,13,1,6,1,13,2,7,1,8,1,13,2,9,1,7,1,13,3,8,2,13,1,8,1,13,4,6,2,13,5,7,1,6,1,8,1,13,3,9,1,8,1,13,1,8,1,9,1,10,1,9,1,13,1,10,1,8,1,11,2,9,2,13,1,11,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,9,2,17,6,9,1,11,1,9,1,10,1,13,2,30,1,7,1,29,2,30,3,28,3,29,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,1,6,1,29,1,6,3,7,1,30,1,13,1,6,7,30,1,6,3,13,1,7,1,6,2,30,1,6,1,7,2,30,1,6,4,13,3,6,2,30,2,7,1,6,4,30,4,29,1,30,2,29,1,6,1,7,1,6,1,29,1,30,1,6,1,30,1,6,1,13,1,6,2,30,1,6,2,30,1,6,2,30,3,28,1,30,1,13,3,28,1,30,1,28,1,30,2,6,1,30,1,6,1,30,2,13,1,28,1,30,1,28,1,6,1,30,2,29,1,6,1,30,1,6,2,29,1,6,2,8,1,9,1,8,1,13,1,7,1,6,2,13,4,6,2,9,3,13,1,8,1,13,1,7,1,13,2,8,1,13,2,8,1,9,1,8,1,13,1,9,1,10,1,8,1,12,1,11,1,13,1,17,1,11,1,12,1,16,1,17,2,16,1,17,11,8,1,12,1,9,3,13,1,9,1,8,1,9,2,13,1,9,1,8,1,9,2,11,1,10,1,17,6,16,1,17,1,11,1,9,1,11,1,9,2,13,1,8,1,9,1,8,3,13,3,7,1,6,1,13,1,6,1,13,1,6,5,7,3,6,2,29,1,6,2,29,1,30,2,29,1,6,1,28,5,30,2,28,1,30,3,6,1,29,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,13,1,30,2,29,1,7,1,29,1,6,1,28,1,6,1,30,1,6,3,13,4,6,1,13,1,8,1,13,1,9,1,13,1,9,1,8,2,9,1,11,1,10,2,11,2,9,1,17,1,9,1,8,1,9,1,11,1,9,1,11,1,12,1,11,1,10,1,8,2,9,1,11,1,9,1,17,1,11,1,17,1,12,2,10,1,17,3,12,1,9,1,11,2,17,1,11,1,9,3,8,1,9,1,13,1,8,1,9,1,8,1,6,4,30,6,28,1,30,3,28,2,30,1,6,1,30,1,13,1,9,4,13,1,8,1,13,3,7,2,13,4,6,2,30,1,28,17,30,4,28,2,6,1,16,1,12,1,16,1,17,1,11,2,12,2,17,1,11,1,9,4,10,1,12,1,8,2,9,5,8,1,13,1,8,1,9,1,11,1,10,1,17,1,8,1,11,1,8,1,13,1,8,1,9,1,8,1,9,2,8,4,13,1,8,1,9,1,8,1,13,1,8,1,13,3,7,1,13,5,6,1,13,1,7,2,30,1,7,1,13,2,6,2,13,1,6,1,7,1,6,2,13,4,8,1,7,2,13,10,6,1,13,4,8,1,13,1,8,1,13,2,8,2,13,1,6,1,13,1,7,1,13,4,9,1,13,5,9,1,13,1,9,1,13,1,9,1,13,1,8,2,6,1,30,1,28,2,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,21,17,2,11,1,13,1,8,1,6,1,13,1,6,2,28,13,30,1,13,1,7,1,13,2,8,1,9,1,10,1,11,1,16,1,6,1,28,5,13,1,24,1,12,1,13,1,28,43,13,1,6,1,28,3,7,1,17,2,9,1,13,1,29,1,13,1,30,1,28,1,30,1,29,1,30,1,13,1,9,1,12,1,17,1,30,1,28,5,8,1,28,11,}, {28,5,17,2,28,49,29,1,6,1,29,1,6,1,8,1,17,2,10,1,13,1,28,4,13,2,17,1,6,2,13,1,8,1,10,1,17,8,11,1,9,1,13,3,30,1,7,1,29,1,6,1,17,1,9,1,13,3,6,1,29,1,6,1,17,7,13,1,9,1,8,1,13,1,9,1,8,1,17,3,12,1,8,3,6,1,29,1,13,1,8,1,6,1,28,36,29,1,7,1,24,1,13,1,10,1,9,1,13,1,6,2,30,1,29,1,30,1,28,1,8,1,17,7,9,1,13,1,8,3,13,5,8,3,29,1,13,1,9,1,8,1,9,1,12,1,16,1,17,1,16,1,17,2,14,1,6,1,28,17,9,1,11,1,9,1,8,2,13,2,8,1,13,1,6,3,30,1,28,1,30,2,28,1,30,1,28,2,30,6,28,1,6,1,30,6,29,1,30,2,29,1,30,2,6,2,30,1,6,1,13,1,8,1,9,1,12,2,11,1,17,2,10,1,17,1,11,1,17,1,10,1,17,1,10,1,17,1,11,1,12,1,9,1,12,1,17,1,8,1,9,1,17,1,9,1,10,2,12,2,11,1,12,1,10,1,11,2,17,1,9,1,17,1,12,1,11,1,17,17,12,1,17,29,12,1,17,12,12,1,11,1,17,3,11,1,17,3,11,1,12,2,17,1,9,1,12,1,17,1,10,1,17,1,12,2,17,4,11,1,17,2,9,2,10,1,11,1,10,1,17,1,12,4,10,1,12,1,9,2,10,1,9,3,11,1,9,1,11,1,10,2,11,1,9,2,11,1,9,1,10,1,9,1,11,2,8,1,10,1,9,1,11,1,10,1,8,1,10,1,9,1,11,1,10,2,9,1,12,2,9,2,11,1,9,1,12,1,24,1,9,3,17,1,10,2,12,1,9,1,17,55,10,1,9,1,17,3,12,1,11,1,17,17,12,1,17,9,12,1,17,3,12,1,17,2,12,1,17,7,12,1,17,3,12,1,11,1,12,4,17,3,12,1,17,9,13,1,10,1,9,1,11,1,9,1,11,1,9,1,10,2,9,1,8,2,13,2,7,1,13,1,24,1,7,1,24,1,8,2,9,1,8,1,13,1,24,1,13,3,24,1,8,3,9,1,13,1,24,1,7,1,13,2,6,1,30,1,6,1,8,1,7,1,6,3,7,1,6,1,7,1,6,1,7,2,9,1,24,1,8,1,9,3,13,2,9,1,8,1,10,1,8,1,12,1,10,1,24,1,9,1,24,1,13,1,10,1,24,1,10,1,13,1,9,1,13,1,8,1,6,1,13,8,7,6,6,1,7,1,8,1,7,2,6,1,7,1,6,5,30,1,6,1,29,1,6,1,30,1,6,3,30,1,6,1,29,1,30,1,6,2,30,1,29,1,30,1,29,1,30,1,6,1,29,1,28,3,29,1,30,1,28,1,30,2,28,1,6,1,30,6,29,1,30,1,28,1,6,1,28,1,30,2,29,1,6,1,29,2,6,1,30,2,28,1,30,1,6,2,30,1,6,1,30,2,29,1,6,1,29,1,6,1,28,1,6,1,30,2,6,1,28,1,30,3,29,1,6,1,29,1,7,1,29,1,30,1,28,1,6,1,30,1,6,1,28,1,30,4,28,10,30,4,29,1,6,2,8,1,9,1,12,1,17,1,12,2,11,1,12,1,11,2,10,1,9,1,17,1,11,1,10,1,12,2,11,1,12,1,17,3,11,1,9,1,17,1,11,1,17,8,12,1,17,1,12,1,17,3,12,1,17,35,10,1,17,2,11,1,17,3,11,1,17,4,12,1,17,1,11,3,17,1,11,1,10,1,12,2,10,1,9,3,8,1,13,1,9,1,24,1,8,1,24,1,8,3,13,2,7,1,13,1,6,2,29,1,6,3,30,1,29,1,7,2,6,1,7,1,6,1,13,1,30,1,13,1,6,1,13,1,6,2,7,1,13,1,7,1,13,1,6,1,8,2,7,1,8,1,13,1,8,2,13,2,9,1,8,1,24,1,9,1,11,1,8,1,9,1,11,1,7,1,28,3,30,1,6,2,29,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,29,1,28,1,30,2,6,1,30,2,6,1,30,6,6,2,28,4,30,5,6,1,30,2,6,1,13,2,30,1,6,1,29,1,30,3,28,1,30,5,13,1,28,1,30,2,28,1,30,1,28,1,30,2,29,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,4,30,1,28,1,30,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,4,28,6,30,3,28,1,6,1,28,1,30,2,28,1,30,2,28,1,30,2,6,1,30,6,28,1,30,1,28,2,30,1,29,1,28,1,6,2,30,1,28,1,30,1,28,1,30,2,28,1,30,4,28,3,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,3,30,1,11,1,13,1,6,2,28,3,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,6,2,30,2,28,1,30,2,28,1,30,3,6,1,30,2,6,1,28,1,30,1,6,1,28,1,29,1,30,2,28,1,30,1,28,9,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,4,28,3,29,1,28,1,30,1,28,1,30,2,28,2,30,2,29,1,28,1,30,3,28,5,30,1,28,4,30,2,28,3,30,1,29,1,30,2,28,1,30,1,28,1,13,1,11,1,6,1,28,2,30,2,28,20,30,1,28,1,30,1,9,1,6,1,28,35,30,2,28,2,30,3,28,2,30,2,28,3,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,22,30,1,28,8,30,2,28,1,30,2,28,2,29,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,6,2,28,1,8,1,13,1,28,9,30,1,28,9,30,1,28,5,6,1,30,3,6,1,9,1,13,1,29,1,30,2,28,2,30,1,28,3,6,1,28,3,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,4,30,2,6,1,28,1,30,1,28,10,30,1,28,2,30,2,28,2,6,1,29,1,28,1,11,1,9,1,30,1,28,3,30,2,28,4,30,1,28,2,29,1,13,1,9,1,24,1,10,1,12,1,10,1,12,2,24,1,25,2,6,1,7,1,13,1,7,1,9,1,11,1,17,15,16,1,17,2,11,1,17,1,10,1,17,2,9,1,17,1,11,1,9,2,11,2,9,2,11,2,8,1,10,1,9,2,10,1,8,1,9,3,11,1,9,3,11,1,9,2,12,1,11,1,24,2,25,1,27,2,25,1,26,1,25,1,27,1,28,1,29,1,30,1,28,5,30,1,28,1,30,2,29,1,6,1,28,14,9,1,11,1,17,1,11,1,17,3,10,1,17,1,9,1,13,1,7,1,6,1,30,1,29,1,30,4,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,5,30,1,29,1,28,2,30,5,28,1,6,1,13,1,6,1,29,1,7,1,6,1,13,1,6,1,7,1,13,2,7,1,13,2,6,1,13,3,9,1,13,3,8,1,13,2,7,1,13,2,6,1,13,3,6,1,7,1,13,5,8,1,13,1,6,1,13,1,9,2,8,1,9,5,8,2,9,3,8,1,9,1,8,1,9,2,8,1,13,1,9,1,13,1,9,1,11,1,17,5,11,1,9,2,8,1,13,1,6,3,30,9,28,1,30,1,28,1,30,1,28,1,6,1,28,5,29,1,30,1,6,3,30,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,30,1,6,1,30,1,6,2,7,1,13,1,6,4,7,1,6,6,7,1,13,1,7,1,6,4,29,1,30,2,13,1,6,1,29,1,30,3,28,2,30,1,29,1,6,1,29,1,30,3,6,1,7,1,13,1,6,1,13,1,6,4,30,2,28,1,30,1,6,1,30,1,6,1,29,1,13,2,28,2,30,2,6,1,30,1,6,1,30,2,6,1,28,1,30,2,6,1,28,1,6,1,30,2,29,2,6,2,29,2,13,1,6,1,29,1,6,1,13,1,30,1,6,5,13,2,8,1,13,2,7,1,8,1,7,1,13,3,6,1,13,1,6,1,7,1,13,1,9,1,8,1,9,1,13,2,11,1,9,2,17,1,9,1,12,1,9,1,11,1,10,1,12,1,17,1,11,1,12,1,17,2,11,1,17,6,12,1,10,1,11,1,17,1,9,2,13,1,8,1,9,1,8,1,9,3,8,1,9,3,11,1,17,1,12,1,17,6,9,5,8,1,9,1,13,1,9,1,13,1,9,1,13,3,7,1,8,1,13,1,7,1,6,1,13,1,7,1,30,1,13,1,6,2,29,1,6,1,7,1,6,3,29,1,30,3,28,3,30,3,28,2,30,1,28,2,30,1,28,1,30,4,6,1,30,1,6,1,28,1,13,1,6,1,28,1,30,1,28,1,29,3,6,1,30,1,6,1,29,1,6,2,29,1,6,2,29,1,13,1,8,1,13,4,8,1,9,1,13,1,9,2,8,1,11,1,8,1,10,1,17,1,9,1,17,1,10,1,11,2,10,1,9,1,11,1,16,1,9,1,11,1,9,3,10,1,9,1,10,1,9,1,11,1,9,1,17,2,12,1,17,2,9,3,11,1,10,1,16,1,11,1,9,2,13,1,8,1,13,4,7,1,6,3,30,2,28,3,30,3,28,3,30,1,28,1,30,1,6,1,9,1,11,1,9,1,13,1,9,1,13,4,7,1,13,1,7,1,6,1,7,1,13,1,6,2,30,1,28,19,30,3,28,3,9,1,17,1,11,1,16,4,12,1,11,1,12,1,10,2,11,3,9,1,8,1,10,1,9,3,8,1,13,1,9,3,13,1,9,2,8,1,9,4,10,1,8,1,10,1,12,1,9,2,8,1,9,1,8,2,9,1,8,2,13,2,8,1,13,1,9,2,13,2,6,1,13,3,6,1,13,1,8,2,9,1,8,1,13,6,8,1,13,1,8,1,13,2,6,1,13,10,7,1,13,4,8,1,13,3,6,1,13,2,6,1,13,2,8,1,13,2,7,1,13,2,6,1,13,3,8,1,13,1,9,2,13,1,8,1,9,1,13,3,9,2,6,1,28,4,30,3,28,8,30,1,28,27,17,2,11,1,9,1,13,1,6,3,28,14,6,1,29,1,13,3,8,1,9,2,12,1,9,1,30,1,28,5,30,1,10,1,13,1,6,2,28,42,6,1,30,1,28,3,6,1,17,2,9,1,6,2,29,1,13,2,30,2,29,1,9,1,17,3,28,6,6,1,30,1,28,10,}, {30,1,28,4,8,1,17,1,28,49,30,2,29,1,13,1,8,1,9,1,17,1,10,1,8,1,28,1,30,1,28,2,29,1,8,1,17,1,9,1,13,2,8,1,12,1,16,1,17,2,12,1,16,1,17,3,12,1,8,1,13,1,6,1,29,1,30,1,13,2,30,1,17,2,9,1,13,1,6,1,29,1,13,1,29,1,9,1,17,3,16,1,17,2,9,2,13,2,10,1,9,1,16,1,17,3,8,2,7,1,6,3,7,1,6,1,28,35,30,1,29,1,6,1,9,1,8,1,12,1,17,1,8,1,7,1,6,1,30,1,13,1,7,1,30,1,8,1,11,1,17,5,16,2,13,1,9,2,8,1,13,2,6,1,7,1,13,2,6,1,13,1,6,1,8,1,9,2,17,2,10,1,16,1,17,3,14,1,6,1,28,17,9,3,13,4,7,1,8,1,13,1,29,1,30,2,29,1,30,3,29,1,30,2,29,1,30,1,6,1,29,3,6,1,30,2,29,1,6,2,30,1,6,2,29,3,6,2,29,1,30,2,13,2,9,1,12,1,11,2,17,2,12,1,11,1,17,1,12,2,10,1,11,1,10,1,17,1,9,2,17,1,8,1,10,1,9,1,17,1,9,1,10,1,11,1,9,1,17,1,12,1,10,2,11,1,9,1,10,1,11,2,17,1,10,1,17,2,12,3,17,44,12,2,17,1,12,1,17,15,12,2,17,2,12,1,10,1,12,1,11,1,12,1,9,1,17,1,10,1,17,1,12,1,17,2,9,1,17,1,11,1,10,1,12,2,10,1,12,1,17,1,9,1,12,1,17,1,12,1,11,2,12,1,11,1,9,1,17,1,8,1,9,1,10,1,11,1,10,1,8,1,17,1,9,2,10,1,11,1,10,2,12,1,9,2,12,1,11,1,9,1,10,1,9,1,24,1,10,1,24,1,8,1,9,3,12,1,9,2,12,1,9,1,10,1,12,1,9,1,10,2,11,1,9,1,10,1,12,1,11,2,17,2,9,1,17,1,12,1,17,1,9,1,17,53,11,1,17,2,12,1,17,34,12,1,17,1,12,1,17,1,10,1,17,2,12,1,17,1,12,1,17,1,9,1,11,1,12,1,17,1,9,1,11,1,17,12,11,1,9,1,10,4,12,1,10,1,8,1,10,1,8,4,13,1,8,1,13,1,8,3,11,1,8,3,13,2,8,3,13,1,24,1,9,1,13,1,24,1,13,4,8,1,13,1,8,1,13,1,7,1,13,2,7,1,13,1,6,1,7,1,13,2,7,1,13,1,6,1,7,1,9,1,13,1,9,1,8,2,13,1,7,1,13,1,8,1,13,1,9,2,24,1,9,1,8,2,13,2,8,3,7,2,13,3,7,1,8,1,13,1,29,1,6,1,13,6,6,1,29,1,30,1,8,1,6,2,29,3,6,1,29,2,30,1,6,1,30,1,7,2,6,1,30,1,29,1,28,1,29,2,28,1,6,1,28,1,6,2,30,1,28,1,7,1,6,1,28,1,30,5,28,2,30,4,28,2,30,2,28,4,7,1,30,4,6,2,30,5,28,1,6,1,29,1,30,3,6,1,30,2,29,1,30,1,28,1,6,2,29,1,6,1,29,1,6,1,29,2,30,1,6,1,30,1,6,1,28,1,29,1,30,1,6,1,28,1,30,2,28,2,30,4,28,5,30,1,28,1,30,1,28,1,30,3,6,3,8,1,9,1,10,1,17,3,11,1,12,1,11,3,17,1,12,3,11,1,17,2,11,1,12,1,17,1,12,1,17,2,11,1,12,1,17,1,12,2,11,1,17,47,11,1,17,1,10,1,17,2,12,1,17,1,12,1,17,4,11,1,17,3,11,2,17,1,12,2,9,2,11,1,10,2,13,1,24,1,8,2,24,3,9,1,13,1,7,1,13,2,7,1,6,3,29,1,30,1,6,2,13,1,6,1,29,1,7,1,6,1,28,1,6,1,29,1,13,1,29,1,7,2,13,1,7,1,13,3,7,1,13,1,24,1,8,1,9,1,24,1,13,1,8,1,24,1,13,1,8,4,24,1,13,1,9,1,17,1,28,3,29,1,6,1,30,1,6,2,28,1,29,1,30,4,28,1,30,1,6,1,30,1,9,1,28,1,30,1,6,1,30,2,28,1,6,1,30,4,6,1,30,1,6,1,30,2,6,1,28,1,30,1,29,1,28,1,30,2,28,2,30,1,13,2,30,2,29,1,30,1,28,3,30,1,28,1,30,1,28,2,29,1,6,1,30,1,28,1,30,5,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,3,6,1,28,1,30,1,28,3,30,1,28,2,30,2,28,2,30,4,6,1,28,1,30,1,28,1,30,1,28,4,6,1,28,6,30,1,28,3,30,2,28,2,30,1,6,1,28,2,30,1,28,3,30,1,28,2,6,1,13,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,8,6,1,16,1,8,1,13,1,6,1,28,2,30,1,28,2,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,8,28,2,30,2,28,3,30,3,28,1,30,2,28,11,30,1,6,1,30,1,28,5,30,1,28,1,30,4,28,1,30,6,28,3,30,1,28,1,6,1,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,5,30,1,28,3,29,1,28,1,13,1,9,1,28,6,30,1,28,21,8,1,28,2,30,1,28,5,30,1,28,7,30,1,28,4,30,2,28,11,30,1,28,8,30,1,28,9,30,1,28,7,30,1,28,21,30,1,28,4,30,3,28,2,30,1,28,7,30,1,28,4,30,1,28,5,6,2,13,1,6,1,13,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,28,18,30,1,28,1,6,1,13,2,30,3,28,4,30,1,28,6,30,2,28,2,30,2,28,7,30,1,28,5,30,1,28,1,30,2,28,2,6,1,28,6,30,1,28,1,30,1,28,6,30,1,28,4,6,1,16,1,17,1,13,1,28,1,30,1,28,4,30,1,28,4,30,1,29,1,13,1,9,1,24,1,17,1,10,1,24,2,10,1,8,2,25,1,29,1,6,3,11,2,17,20,12,2,11,1,17,3,9,4,11,1,9,1,10,1,9,1,8,1,9,3,11,1,13,1,9,1,10,2,9,1,10,2,9,1,11,1,8,1,9,1,11,1,8,1,24,1,13,1,25,1,27,2,25,1,8,1,27,1,26,1,28,1,29,1,30,2,28,1,30,2,28,1,30,4,6,1,30,2,28,13,9,1,11,1,17,1,16,1,11,1,17,2,11,1,17,1,11,1,13,1,6,1,28,1,30,3,28,1,30,3,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,3,30,1,28,3,30,3,28,1,30,5,6,1,28,1,6,2,29,1,6,3,29,1,7,1,13,1,6,1,13,6,9,2,13,8,6,1,13,1,6,2,13,1,7,1,13,3,8,1,13,1,8,1,13,3,9,1,13,1,8,2,13,1,9,8,8,1,11,1,8,1,9,1,13,1,8,1,9,2,8,1,13,1,17,6,10,1,11,1,9,1,8,1,13,2,6,1,28,1,29,1,30,1,28,1,30,1,28,11,30,1,28,1,30,4,6,1,30,1,7,1,6,1,29,1,6,4,30,1,6,1,7,1,6,2,29,1,6,1,13,2,6,3,13,1,6,1,29,3,30,1,6,1,30,1,13,1,6,2,29,2,7,1,6,5,13,1,6,2,30,1,29,1,30,1,28,1,6,1,28,1,30,1,13,1,28,1,6,3,30,1,6,2,13,2,7,1,6,2,30,1,6,3,30,2,29,1,6,1,13,1,6,1,7,1,30,1,6,2,30,1,29,1,28,1,30,2,6,1,30,3,6,1,28,1,30,4,28,1,6,3,29,1,7,1,29,1,6,4,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,2,13,4,7,3,6,1,7,1,13,3,9,1,8,3,11,1,9,1,11,1,12,1,9,2,10,1,17,2,9,1,10,1,17,2,11,1,10,1,16,1,11,1,17,2,12,2,17,1,16,1,17,1,11,1,8,1,10,1,13,2,8,1,9,4,8,1,9,3,8,1,17,1,11,1,10,1,17,4,12,1,9,5,8,1,9,1,8,3,13,6,7,1,13,1,6,12,30,1,29,1,6,1,30,3,29,1,30,1,28,5,6,1,30,2,29,1,28,1,30,4,28,1,30,1,6,1,30,1,6,1,13,1,30,9,6,2,30,1,6,1,7,1,6,2,29,1,7,1,13,4,7,1,6,1,9,1,13,2,9,2,8,1,9,2,8,2,12,1,9,1,12,1,9,1,10,1,11,1,10,1,12,1,10,1,9,1,8,1,11,1,9,2,10,1,9,1,10,1,11,2,17,6,11,1,10,1,11,1,9,6,13,1,8,2,13,1,7,1,13,1,6,1,29,1,30,2,29,2,30,2,28,5,30,1,28,2,30,1,6,1,13,2,9,1,8,1,13,2,8,1,7,3,6,1,13,1,6,1,8,2,6,1,30,1,28,2,30,1,28,17,30,3,28,1,30,1,6,1,9,1,17,1,11,2,10,1,16,1,11,1,17,1,16,1,10,1,16,1,9,1,17,1,9,1,11,1,9,1,10,1,11,1,9,4,11,1,8,1,12,1,9,2,8,1,9,1,16,1,8,1,11,1,8,1,9,1,8,1,10,1,11,1,9,1,8,3,13,1,8,1,13,1,9,1,8,1,13,1,8,1,13,4,9,1,13,1,9,2,8,1,13,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,13,2,7,1,6,1,13,1,7,1,6,1,13,3,6,1,13,2,7,1,6,1,13,1,6,1,13,1,7,1,13,2,29,1,13,3,6,1,13,1,8,1,13,5,30,1,13,6,7,1,13,4,8,1,13,2,8,1,7,1,13,1,9,1,8,1,13,1,9,1,13,2,9,1,28,5,6,1,28,5,30,3,28,2,30,1,28,1,30,1,28,1,30,2,28,21,30,1,17,2,9,1,8,1,13,1,6,1,13,1,6,1,30,1,28,12,6,1,30,1,29,1,7,1,13,2,8,1,11,1,10,1,17,1,11,1,30,1,28,1,30,1,28,3,30,1,9,2,6,1,28,43,30,1,6,1,28,3,16,1,17,2,8,1,6,1,13,1,6,1,29,1,7,1,29,1,13,1,6,1,11,1,17,2,16,1,28,6,6,1,28,1,30,1,28,9,}, {28,4,30,1,24,1,17,1,28,49,29,1,28,1,7,1,8,1,24,1,9,1,17,1,16,1,8,1,29,1,28,4,9,1,11,1,9,1,8,1,11,1,8,1,10,1,17,1,16,1,11,1,17,1,11,1,17,3,16,1,9,1,13,1,8,1,13,1,6,1,7,2,6,1,9,1,17,1,10,1,13,1,7,1,6,1,13,2,17,6,13,1,8,1,9,1,13,1,16,1,9,1,10,1,17,4,9,1,13,4,30,2,29,1,28,34,30,3,13,1,24,2,9,1,12,1,13,3,6,2,7,1,28,1,8,1,17,7,16,1,10,1,9,3,6,1,13,2,6,1,7,1,6,1,13,1,8,1,29,1,9,3,12,1,16,1,11,1,17,4,14,1,13,1,28,17,8,1,13,2,29,1,30,1,6,1,30,1,6,1,13,2,6,1,29,1,6,1,30,1,28,1,30,2,28,1,30,2,29,1,6,3,29,1,13,1,28,1,6,1,29,1,6,1,7,1,6,4,7,1,29,1,6,2,29,2,6,2,13,1,9,2,17,2,11,1,17,2,11,1,12,2,9,1,12,1,10,1,11,2,10,1,9,1,10,1,9,1,11,1,17,2,12,1,9,1,10,1,11,2,9,1,10,1,11,1,9,1,10,1,9,1,12,1,9,1,12,1,10,1,17,1,12,1,17,1,12,1,17,1,10,1,17,45,12,1,9,1,17,3,11,1,17,1,12,1,17,14,12,1,17,1,11,1,17,1,11,1,12,1,10,1,12,2,17,1,11,1,12,1,17,1,12,1,17,2,12,2,17,1,12,2,17,2,10,1,17,1,10,1,11,1,9,1,12,1,10,1,11,1,10,1,12,1,9,1,11,1,12,1,9,1,12,1,11,1,9,1,12,1,9,1,10,1,12,1,24,1,9,1,11,1,9,4,24,1,9,1,10,1,9,1,10,1,9,3,12,1,9,2,11,1,10,1,9,2,10,3,9,1,11,1,9,1,10,1,11,2,12,1,17,1,12,2,17,2,12,1,17,39,12,1,17,6,11,1,17,1,9,2,8,1,17,4,12,1,17,1,12,1,17,30,12,1,17,11,12,1,11,1,10,2,12,1,9,1,11,1,12,1,17,12,12,2,8,1,17,1,10,1,8,1,9,2,10,1,9,3,8,1,13,1,9,1,13,2,8,4,9,1,24,1,8,2,13,2,8,2,9,1,8,1,24,1,8,1,24,1,8,2,13,2,8,1,13,1,9,1,8,2,13,2,7,1,29,1,7,4,29,1,6,2,7,2,13,4,24,1,6,1,13,1,24,1,9,3,13,3,8,1,13,1,9,1,13,6,7,1,13,1,6,1,7,1,6,1,13,2,7,1,6,1,7,1,6,1,7,1,6,2,7,1,6,1,13,1,6,1,7,1,6,2,30,1,6,1,30,1,29,1,30,1,6,1,30,3,6,1,29,1,30,1,28,1,29,1,6,1,30,2,7,1,6,1,30,1,29,1,30,2,6,1,28,2,6,1,28,1,6,1,28,2,6,1,29,1,28,1,30,8,29,1,30,1,29,1,6,3,30,3,6,1,29,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,30,3,29,1,6,1,30,2,6,1,28,1,30,1,6,1,30,10,28,1,30,1,28,2,30,1,28,1,30,6,6,4,13,2,12,2,17,2,11,1,17,1,11,1,12,2,17,1,12,1,17,1,10,1,11,1,12,1,17,1,10,1,17,1,12,4,17,1,9,1,11,1,10,2,9,1,17,15,11,1,17,32,12,1,10,1,17,1,11,1,17,1,12,3,17,2,12,1,17,4,10,1,12,1,17,1,11,3,12,2,9,1,8,5,10,2,8,1,24,1,13,1,8,2,13,1,7,1,29,1,13,1,7,1,6,1,7,1,30,1,29,1,6,2,7,1,13,1,7,1,6,2,29,1,7,1,6,3,13,1,7,1,8,1,13,2,7,1,13,1,8,1,13,2,24,1,13,1,24,1,8,4,13,1,24,1,9,2,8,1,17,1,10,1,28,3,30,4,7,1,30,1,29,1,6,1,28,2,30,2,28,1,30,1,6,1,17,1,13,1,30,2,28,3,30,1,28,2,6,1,30,2,6,1,28,1,30,2,6,1,28,1,30,1,28,4,6,1,30,1,13,1,6,1,28,1,6,1,30,2,28,1,30,4,28,1,30,1,28,2,30,1,6,1,28,1,30,1,28,6,30,3,28,1,30,1,28,1,30,4,28,4,30,2,28,1,30,1,13,1,6,1,30,4,28,1,30,2,28,1,6,1,28,1,30,2,28,3,30,6,28,2,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,2,6,1,30,1,6,1,30,2,13,2,6,1,28,1,6,3,28,4,6,1,30,1,28,2,6,1,30,1,28,6,30,1,28,1,30,1,28,4,30,1,28,5,30,1,28,4,13,1,9,1,8,1,6,2,28,4,30,2,28,2,6,1,28,1,6,1,28,1,30,3,28,1,30,2,6,1,30,2,28,1,30,1,28,4,30,1,6,1,30,4,28,11,6,1,28,1,30,2,28,1,30,3,28,4,6,1,30,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,1,6,1,28,1,30,2,6,1,28,2,30,1,28,1,30,1,28,8,30,1,28,4,30,1,28,2,6,1,13,1,6,1,13,1,6,2,28,3,30,1,28,4,30,1,28,8,30,1,28,11,16,1,6,1,28,12,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,9,30,1,28,6,30,1,28,7,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,8,30,1,28,11,30,1,28,5,30,2,28,6,29,1,28,4,6,1,28,2,30,1,28,6,30,1,28,2,13,5,6,1,28,12,30,1,28,8,30,1,28,3,30,1,28,2,30,1,13,1,6,1,30,4,28,1,30,1,28,13,30,2,28,2,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,9,29,1,30,1,28,2,30,1,28,2,30,1,28,10,6,2,10,2,12,1,10,1,12,1,24,2,8,1,26,1,8,1,6,3,8,1,17,22,11,1,17,2,11,1,17,1,9,4,10,1,8,1,10,1,9,1,11,2,9,1,8,1,9,2,8,1,9,2,11,1,9,1,10,1,9,4,8,1,11,1,9,1,8,2,25,1,30,1,27,1,25,1,24,1,27,2,28,1,29,1,30,1,28,1,30,1,29,1,30,1,28,1,29,1,30,1,29,1,28,1,29,2,28,14,10,1,11,1,17,1,16,1,17,1,11,1,17,1,11,1,17,1,11,1,10,1,7,1,13,1,30,5,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,7,6,1,30,5,28,1,30,4,6,2,30,1,6,1,30,1,6,1,30,1,6,1,7,1,6,1,7,2,6,2,13,2,8,1,7,1,13,1,6,1,13,1,6,1,8,1,13,1,7,2,6,1,7,1,13,1,6,1,13,1,8,1,13,1,6,1,9,1,6,1,13,2,7,1,13,1,8,1,9,1,13,1,8,1,9,1,8,2,10,1,9,2,11,1,13,1,9,2,11,1,9,2,10,1,8,1,9,1,8,1,9,2,13,2,8,1,13,1,17,5,12,1,8,2,13,1,9,1,13,1,6,1,30,2,28,3,30,1,28,2,30,2,29,1,28,4,30,1,28,1,6,1,30,1,6,1,29,1,30,1,29,1,28,2,29,1,6,3,28,1,6,2,29,1,6,2,7,2,6,1,13,1,6,2,13,1,30,1,13,1,6,3,13,1,7,1,29,1,6,2,30,1,13,1,6,1,30,1,6,2,30,1,6,1,13,1,6,2,7,1,6,1,30,1,28,1,30,1,29,1,30,2,6,1,30,1,7,1,29,1,6,1,29,1,6,1,28,1,13,1,7,1,29,1,13,1,7,1,6,2,30,2,13,1,30,1,7,1,6,1,13,1,6,1,30,1,28,1,30,1,28,2,30,1,6,1,30,1,29,1,30,1,28,1,6,1,30,2,29,1,28,1,30,4,29,1,6,2,30,1,6,1,30,1,6,1,29,1,13,1,6,1,13,1,6,1,30,1,6,2,7,1,13,2,6,2,13,7,6,2,13,3,7,2,8,2,9,2,10,1,24,1,9,1,17,1,10,3,9,1,12,1,11,1,17,1,11,1,12,3,16,1,10,1,16,1,11,1,12,2,9,1,12,1,9,2,10,1,8,2,9,1,10,1,9,4,13,1,9,2,10,1,11,1,17,1,11,1,17,1,16,1,17,1,16,2,10,1,9,2,8,1,13,1,9,1,8,1,9,1,13,1,8,1,13,2,8,1,13,2,6,1,13,1,30,1,6,1,29,1,6,3,13,1,6,1,30,2,6,3,30,1,6,1,30,1,6,1,30,3,28,2,30,3,29,1,28,2,30,1,28,1,30,4,28,1,30,3,28,1,30,1,6,1,28,2,29,1,28,1,29,1,30,1,29,1,30,3,28,1,30,1,6,2,30,1,6,1,30,2,6,1,30,2,13,5,8,3,13,1,9,2,8,1,10,1,8,1,9,1,11,1,9,1,11,1,9,1,12,1,11,2,9,2,8,1,9,1,12,1,9,1,11,1,9,2,11,1,17,1,12,1,17,3,16,1,11,3,9,1,11,1,12,1,11,1,8,1,13,4,8,1,6,3,30,1,6,1,29,1,30,1,6,1,28,1,30,1,28,1,30,4,28,3,30,2,29,1,13,1,9,1,8,2,13,2,9,1,7,1,6,1,7,1,13,1,6,2,8,2,30,1,29,1,30,1,28,17,30,2,28,2,30,1,28,1,30,1,29,1,16,3,11,2,16,1,12,1,17,2,11,1,9,1,17,1,9,1,10,1,11,1,10,1,9,2,12,1,10,1,11,4,9,1,11,1,8,1,9,1,13,1,11,1,9,2,16,1,11,2,9,1,11,1,16,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,2,13,1,8,2,13,3,8,1,13,1,8,1,13,1,8,4,13,3,8,1,13,2,9,1,8,2,13,4,6,1,8,1,13,1,8,1,13,1,7,1,13,2,7,1,13,2,7,1,13,6,9,1,8,1,9,1,13,9,7,1,8,2,6,1,13,4,7,1,8,1,13,2,9,1,8,3,13,2,8,1,9,1,6,1,28,2,6,1,28,4,30,2,28,4,30,1,28,8,30,1,28,19,30,1,17,2,11,1,8,2,7,1,8,1,13,1,29,1,6,1,28,10,29,1,30,1,6,2,8,1,13,2,9,3,10,1,12,1,30,1,28,6,13,1,8,1,30,2,28,42,7,1,28,4,16,1,17,1,16,1,9,1,6,2,7,1,6,1,13,2,7,1,13,1,9,1,11,1,16,1,10,1,28,5,30,1,29,1,28,11,}, {6,1,28,4,9,1,17,1,28,47,6,1,28,2,30,1,13,1,8,1,11,1,24,1,17,1,10,1,13,1,6,1,30,1,28,1,30,1,29,1,8,1,9,1,11,1,8,2,9,1,11,1,17,3,11,1,17,3,16,1,17,1,11,1,8,1,13,2,6,1,13,1,6,2,9,1,17,1,9,1,13,1,6,3,13,1,17,4,16,2,11,1,9,2,8,1,9,1,10,1,8,1,10,1,17,2,11,1,16,1,13,1,8,1,13,3,29,1,7,1,28,36,30,1,13,1,7,1,8,1,10,2,9,1,30,1,29,1,7,1,6,4,17,5,16,1,11,1,16,1,10,1,9,2,13,1,9,1,6,1,13,2,7,1,13,1,24,1,13,1,6,1,13,1,8,1,9,1,16,1,10,1,11,1,16,1,17,3,14,1,13,1,28,17,13,2,29,1,6,1,30,1,6,1,29,1,30,1,6,3,7,1,30,1,29,2,30,1,6,1,29,1,13,1,30,1,6,1,13,1,6,1,7,2,6,1,7,1,6,1,13,1,29,1,13,1,6,1,7,1,6,3,29,1,6,3,30,1,6,1,13,2,8,1,9,1,12,1,11,1,17,1,9,1,17,2,10,1,12,1,11,2,17,1,9,1,11,1,24,1,9,1,11,2,10,1,11,1,12,2,9,1,10,1,11,1,8,1,17,1,10,1,11,1,10,1,11,1,10,1,11,1,17,1,12,2,17,33,12,1,17,15,10,1,17,3,11,1,17,7,11,1,17,8,10,1,17,3,11,1,12,3,9,1,17,1,12,2,17,1,11,1,10,1,17,1,12,1,17,1,11,1,12,2,9,1,12,2,11,1,10,1,11,1,9,1,17,1,12,1,10,1,12,1,9,1,10,1,12,2,11,1,9,1,10,2,11,1,8,1,10,1,9,1,17,1,10,2,17,1,12,2,9,1,10,1,9,1,11,1,8,1,9,3,12,1,9,2,11,1,9,2,10,1,11,1,12,1,9,1,11,1,9,1,10,1,11,1,9,1,10,1,12,1,9,1,11,1,9,1,10,1,12,1,11,1,17,1,11,1,12,1,11,1,12,1,11,2,17,22,11,1,17,5,12,1,17,1,11,1,17,11,12,1,11,1,17,5,11,1,17,25,11,1,17,22,11,1,9,5,11,1,12,2,17,1,11,1,17,1,12,1,17,6,12,1,10,1,11,2,9,1,11,1,17,1,9,4,8,2,13,2,8,1,7,1,13,1,8,1,24,1,9,1,10,1,8,1,24,1,9,1,12,1,9,1,8,2,13,1,8,1,24,1,13,1,8,1,13,1,8,1,9,1,7,1,9,1,8,1,24,2,9,1,24,1,6,1,7,3,6,1,7,1,6,1,13,2,6,1,29,1,13,1,7,2,13,1,6,2,13,2,7,1,8,1,13,1,9,1,8,1,13,1,8,1,13,4,8,2,13,6,6,1,13,1,6,1,13,2,6,1,7,1,6,2,7,2,13,1,30,1,7,1,13,1,6,1,29,1,6,1,29,1,30,1,29,1,30,1,7,1,30,2,6,2,30,2,29,1,30,1,6,1,30,1,6,1,28,1,30,1,29,2,6,1,30,1,6,2,29,1,30,1,6,2,28,2,6,1,28,2,30,2,28,1,30,1,28,1,30,2,29,1,28,1,30,1,6,1,28,1,30,1,29,1,6,1,28,1,6,1,30,1,6,1,30,3,28,1,30,1,29,1,30,3,29,2,7,1,29,1,30,1,29,1,6,1,30,3,29,1,30,1,7,1,29,3,30,1,29,1,30,1,29,1,30,3,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,1,29,1,6,1,30,1,13,1,8,1,11,2,17,2,12,2,17,3,10,1,17,1,12,1,17,1,12,1,10,1,12,1,17,1,11,1,17,1,12,1,11,1,17,1,12,1,10,1,11,1,17,1,9,1,11,2,17,1,10,1,17,1,12,1,17,4,12,1,17,3,12,1,17,7,12,1,17,29,11,2,12,1,11,1,12,1,17,4,10,1,12,1,11,1,17,5,11,2,17,1,8,1,9,1,8,1,9,1,10,1,13,1,9,1,24,2,9,2,24,1,9,1,13,2,6,1,8,1,6,2,29,3,6,1,29,1,7,1,30,1,6,1,7,1,29,1,6,1,29,2,30,1,7,1,6,1,7,1,6,3,13,1,7,1,13,2,6,1,8,2,13,2,9,1,13,3,9,1,13,3,8,2,17,1,8,1,28,1,30,1,28,1,30,1,29,1,6,1,30,1,6,1,30,3,28,1,29,1,30,2,6,1,30,1,6,1,16,1,13,1,28,1,6,1,30,1,28,2,30,1,28,1,30,3,28,2,29,1,30,5,28,2,30,2,28,1,6,1,13,1,7,1,30,1,28,1,30,4,28,1,30,4,28,2,30,3,6,1,28,1,6,1,28,1,30,9,28,1,30,1,28,1,30,1,28,5,30,3,6,1,28,1,30,1,28,1,6,1,28,1,30,2,6,1,30,4,28,1,30,2,28,1,30,1,6,2,30,1,28,2,30,2,28,5,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,2,28,1,29,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,7,1,13,1,28,1,30,2,28,4,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,5,30,3,28,2,30,2,28,1,6,1,16,1,9,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,29,1,30,2,28,2,30,1,6,2,29,1,30,1,28,2,30,5,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,6,1,28,9,30,1,28,1,30,3,28,2,30,3,28,1,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,6,6,1,28,1,30,1,28,1,30,1,28,3,13,1,9,1,13,1,6,1,13,1,28,15,30,1,28,2,30,1,28,11,16,1,6,1,28,4,30,1,28,17,30,1,28,3,30,1,28,5,30,2,28,9,30,2,28,1,30,1,28,8,30,2,28,12,30,1,28,4,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,2,28,2,30,1,29,2,30,2,28,1,30,1,28,8,30,1,28,1,6,2,13,2,6,1,13,1,30,2,28,2,30,1,28,3,30,1,28,1,29,1,28,2,30,1,28,2,30,1,28,8,30,1,28,2,30,2,13,1,6,1,30,1,28,5,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,5,30,1,28,6,30,1,28,2,30,1,28,6,30,2,28,6,30,1,28,4,30,1,28,8,30,3,28,2,30,1,28,8,30,2,9,1,12,1,17,1,24,1,12,2,24,1,8,2,24,1,6,1,29,1,6,1,7,1,10,2,17,20,11,1,17,2,16,1,17,1,10,1,9,2,17,1,11,1,9,4,10,1,11,2,17,3,9,5,10,2,11,1,10,1,13,1,8,1,10,1,8,1,13,1,8,1,25,1,30,1,27,1,26,2,25,1,27,1,30,1,28,1,30,1,28,3,30,4,28,1,29,2,6,1,28,8,30,1,28,5,11,2,16,2,17,1,16,1,11,1,17,4,13,1,30,1,6,1,29,1,28,1,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,8,30,1,28,2,30,5,28,1,30,6,28,1,7,1,30,1,29,1,6,7,7,1,13,1,6,1,13,1,8,1,13,2,8,1,13,2,7,1,13,3,6,1,13,1,6,1,13,1,6,2,13,2,6,1,13,5,6,1,8,4,9,1,13,1,8,1,9,3,11,2,9,1,8,1,9,2,13,1,8,1,9,1,8,2,13,1,8,1,13,1,8,1,11,1,17,5,9,2,13,3,6,1,28,1,30,1,28,2,30,3,28,6,30,1,28,1,30,2,28,1,30,1,28,1,30,4,6,5,30,1,29,1,28,1,30,1,29,3,6,2,7,1,13,1,6,2,28,1,6,1,29,1,30,1,29,1,30,1,6,3,30,1,13,1,6,3,29,1,30,2,6,4,30,1,6,1,29,1,28,1,30,1,28,2,6,1,29,1,7,1,6,1,30,1,6,1,7,1,6,1,29,1,13,1,30,1,13,2,30,3,13,2,6,2,30,1,6,1,30,2,6,1,30,2,28,1,30,1,28,1,30,1,29,1,30,6,28,1,6,1,30,2,28,1,30,1,29,1,30,3,29,1,30,1,6,1,28,1,13,1,6,1,30,1,13,1,30,1,6,2,13,1,6,1,30,1,6,2,13,1,6,1,13,2,6,1,13,5,8,1,6,1,8,1,13,1,8,1,9,6,10,1,9,1,17,1,11,1,12,1,11,1,9,1,17,1,11,1,17,1,11,1,9,1,17,1,11,1,12,1,11,2,10,1,11,1,12,1,9,1,13,1,9,1,8,2,9,1,11,1,9,4,8,1,11,1,9,1,17,7,9,1,8,2,9,1,13,1,9,1,13,1,8,2,13,4,6,4,13,1,6,1,13,1,7,1,6,2,7,1,29,1,6,6,30,1,6,1,30,3,28,2,6,1,30,1,28,1,30,1,28,4,30,1,28,1,30,4,28,1,30,1,28,1,6,1,30,1,6,1,28,1,6,1,29,1,30,2,28,1,6,1,30,4,6,3,30,1,29,2,6,1,30,2,13,1,6,1,30,1,13,1,6,1,7,1,8,1,6,1,8,1,13,1,8,1,13,1,8,3,9,1,13,1,11,1,8,1,9,1,8,1,9,1,11,3,9,1,11,1,9,1,11,1,9,2,10,1,11,5,16,1,17,1,16,1,17,1,11,2,13,1,11,1,9,1,11,1,10,1,9,1,8,2,9,1,7,1,13,1,6,1,13,1,6,1,30,3,28,3,30,3,28,8,6,1,13,2,8,1,9,1,13,1,6,1,13,1,29,1,13,1,6,1,30,1,6,1,13,1,9,1,29,2,28,1,29,1,30,1,28,14,30,1,28,2,30,1,28,2,30,1,28,1,30,2,17,1,11,1,16,2,17,1,16,1,17,2,12,1,17,1,10,1,16,1,11,1,9,1,16,1,10,2,9,1,10,1,9,2,11,2,9,1,11,1,9,2,11,1,9,1,10,1,13,1,11,1,9,1,11,1,13,1,8,1,9,3,13,1,8,1,9,1,13,1,8,3,9,1,13,3,9,1,8,1,13,2,8,1,9,1,8,2,13,1,8,1,13,1,8,1,13,5,7,1,13,9,7,1,6,1,8,1,13,1,8,1,13,5,8,1,13,1,6,1,9,1,7,1,13,3,6,1,13,7,8,1,13,1,29,1,6,1,13,2,6,1,13,2,6,1,29,1,8,2,9,1,8,1,13,1,9,1,8,1,9,1,13,2,28,3,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,28,30,1,17,2,9,1,8,1,6,2,30,1,6,2,28,2,29,1,28,8,29,2,13,1,6,2,8,1,9,2,10,1,11,2,13,1,28,1,30,1,28,5,8,2,28,44,9,1,28,4,11,1,17,1,11,2,29,2,6,3,28,1,13,1,8,1,16,1,17,2,9,1,28,5,30,1,13,1,28,11,}, {28,5,9,1,8,1,6,1,28,49,30,1,7,1,8,1,7,1,9,1,17,1,11,1,8,1,6,1,28,1,30,1,29,1,30,1,11,1,12,1,9,1,13,1,24,1,9,2,12,1,17,1,16,1,17,5,10,1,9,1,13,1,8,1,13,2,6,1,7,1,6,1,11,1,10,1,12,1,13,2,6,1,7,1,6,1,17,4,9,1,11,1,9,2,8,1,9,1,13,1,11,1,9,1,11,1,9,1,17,2,9,1,8,1,7,1,13,1,6,2,8,1,13,1,28,36,30,1,29,1,13,1,8,1,9,1,11,1,9,1,13,2,6,1,29,1,7,1,6,2,11,1,17,4,16,3,11,1,10,2,8,1,30,1,6,1,8,2,6,1,30,1,13,1,6,1,13,1,8,2,11,1,10,1,11,1,16,1,17,5,13,1,28,17,6,1,13,2,30,1,6,1,30,2,6,2,8,1,7,1,6,2,30,2,28,1,30,1,28,1,6,2,7,1,6,1,13,1,29,1,13,1,6,5,7,1,13,1,6,1,13,1,6,5,7,1,6,1,7,1,13,1,8,1,9,1,17,1,11,1,12,2,11,1,10,1,11,5,9,1,10,4,11,2,9,1,10,1,11,1,17,2,9,2,11,2,12,1,10,1,11,1,12,1,11,1,12,1,17,1,11,1,12,1,17,7,12,1,17,32,12,1,17,18,11,1,12,1,17,9,12,2,17,1,11,1,17,5,11,1,12,1,17,5,12,1,17,4,11,1,17,1,9,1,17,2,12,1,17,1,10,1,17,1,10,1,17,1,10,1,12,2,9,1,12,1,10,1,11,1,12,1,11,2,12,1,10,1,9,2,10,1,9,1,10,1,11,2,9,2,10,1,9,2,10,2,9,1,12,1,10,1,9,1,12,1,9,3,11,1,12,2,10,1,9,1,13,1,9,2,12,1,9,1,11,1,9,1,12,1,11,1,10,1,11,2,17,2,11,1,12,1,17,1,11,1,17,36,11,1,12,1,11,1,17,1,11,1,16,1,17,1,11,1,9,1,11,1,10,1,12,4,17,3,10,1,17,36,12,1,17,4,10,1,12,1,9,1,10,1,24,1,10,1,24,1,12,1,10,1,17,2,12,1,9,1,10,1,17,9,12,1,17,1,9,2,10,3,8,1,9,1,8,1,9,1,8,1,13,1,24,1,8,1,9,1,8,1,9,1,8,1,9,2,24,1,12,1,17,1,9,1,12,1,13,1,10,1,8,2,24,1,10,1,13,1,8,1,24,1,8,2,9,1,8,2,13,1,8,1,13,2,6,2,7,1,6,1,7,2,29,1,7,1,6,2,13,4,6,2,13,1,7,1,8,2,13,4,7,1,8,1,24,1,8,1,13,1,7,1,13,5,7,1,13,1,7,1,13,1,6,2,13,2,29,1,6,4,13,2,29,1,6,1,29,1,7,1,30,1,6,2,30,1,6,1,30,1,29,1,30,1,6,1,29,1,6,2,28,1,29,1,30,3,7,2,6,2,30,3,28,1,30,1,29,1,30,2,28,1,6,1,29,1,28,1,30,3,6,1,30,1,28,1,6,1,30,1,29,1,6,1,30,2,6,5,30,1,29,1,6,1,30,2,28,1,29,1,30,1,6,1,29,1,30,2,29,1,30,3,28,1,6,1,30,2,28,1,30,3,28,1,30,2,6,1,30,2,29,2,30,4,28,1,29,1,28,1,6,1,30,4,28,1,30,4,29,1,6,2,7,1,13,1,8,1,10,1,17,5,12,1,11,1,16,1,17,4,12,1,11,1,17,2,10,1,11,1,12,2,17,2,9,1,11,3,17,1,9,2,17,1,11,1,17,2,11,1,17,44,10,1,17,1,10,1,17,2,10,1,11,3,12,1,17,2,12,1,17,2,11,2,17,1,10,1,12,1,9,1,11,1,12,2,9,1,24,1,8,2,13,1,9,1,24,1,9,1,8,2,13,1,24,1,8,1,7,5,30,1,29,2,6,6,29,1,6,3,30,1,28,1,13,2,30,1,8,1,13,1,8,1,13,2,6,1,8,1,13,1,9,1,24,1,8,5,13,1,9,1,8,2,17,1,7,1,30,3,6,2,30,4,6,1,28,2,30,5,6,3,28,1,6,1,28,1,30,4,28,1,30,2,6,1,13,1,6,2,30,3,28,1,30,2,28,2,30,1,6,1,13,1,6,1,28,1,30,1,29,1,28,1,30,4,28,1,30,3,28,1,30,1,6,1,28,4,30,1,28,1,30,3,28,2,30,3,28,1,30,1,28,1,30,2,28,4,30,2,6,1,30,1,28,1,30,1,28,1,6,2,28,1,30,1,28,4,30,3,28,1,30,2,28,1,6,1,28,3,30,2,28,1,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,29,2,30,1,28,1,30,3,28,1,30,1,28,1,30,1,6,1,30,2,28,2,30,2,28,1,30,5,28,2,30,1,28,1,30,2,6,1,29,1,28,2,30,2,28,2,30,3,28,1,30,2,13,4,6,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,3,30,1,28,1,30,1,28,1,29,1,28,1,30,2,28,2,30,1,28,1,30,1,13,1,30,6,28,2,30,2,28,2,30,2,28,1,30,3,28,6,30,1,28,5,6,1,30,2,29,1,30,2,28,1,29,1,30,2,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,30,2,28,1,6,1,28,8,30,1,28,4,6,1,13,1,7,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,2,30,2,28,1,30,1,28,5,30,1,28,3,6,1,11,1,6,1,28,26,6,1,28,8,30,1,28,1,30,2,28,2,30,1,28,49,29,1,30,1,28,3,30,1,7,1,6,2,28,9,13,1,6,1,7,1,13,2,6,1,30,1,28,10,30,1,28,6,30,1,28,2,30,1,28,8,17,1,13,1,30,5,28,4,30,1,28,1,30,1,28,2,30,3,28,7,30,1,28,1,30,1,28,3,30,2,28,9,30,2,28,3,30,2,28,12,30,1,28,3,30,1,28,13,6,1,17,1,9,2,12,1,24,2,8,4,6,1,29,2,7,1,11,1,9,1,17,20,16,1,17,5,11,1,9,1,10,1,11,1,8,1,11,1,9,1,10,1,9,3,11,1,17,2,13,1,10,1,11,1,9,1,10,1,11,1,9,1,11,1,12,1,13,1,10,1,9,2,8,1,13,1,25,1,30,2,25,1,27,1,29,2,30,3,28,2,30,2,28,1,29,3,30,1,24,1,30,1,28,1,30,1,28,12,17,1,11,1,17,4,16,1,17,4,11,1,13,1,29,1,30,2,28,1,30,1,28,1,30,2,28,4,30,1,28,4,30,1,28,4,30,1,28,3,30,4,28,1,30,1,28,1,6,1,30,1,29,1,30,1,6,1,30,2,29,1,28,1,29,1,6,1,7,1,6,2,7,2,6,1,13,1,6,1,8,1,13,6,7,1,6,1,8,1,6,4,13,1,6,1,13,1,6,1,13,9,9,1,8,2,13,1,9,5,8,1,13,1,9,2,8,2,13,1,9,3,13,1,9,1,13,1,8,2,11,1,17,2,16,1,12,1,16,1,9,3,6,1,29,1,30,3,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,2,28,1,30,4,29,1,30,1,29,1,7,1,6,3,13,3,6,4,30,1,6,1,30,3,6,3,7,1,6,2,29,1,30,1,13,1,30,1,29,1,13,1,30,4,6,2,13,2,7,1,28,1,6,1,28,2,6,2,30,1,29,1,6,1,29,1,6,1,13,1,6,3,30,1,13,1,6,1,30,1,6,1,30,1,6,1,8,1,7,1,30,1,29,2,30,1,28,1,29,1,30,2,6,1,30,2,6,1,30,4,6,1,30,2,7,1,30,1,28,1,30,2,7,1,13,1,30,1,29,1,6,1,30,4,7,1,28,1,30,1,13,1,6,1,30,1,6,2,30,1,6,3,7,1,6,1,13,2,29,1,13,3,6,1,13,1,6,2,13,1,8,2,13,2,8,1,9,1,11,1,8,1,12,1,17,1,11,1,10,1,11,3,17,3,12,1,17,2,12,2,17,1,11,1,16,1,11,1,9,1,11,2,8,1,10,1,9,1,11,1,9,4,10,1,9,1,10,1,9,1,10,1,11,2,17,1,11,1,10,1,12,1,11,2,13,1,9,2,13,1,9,1,13,7,6,1,13,2,6,2,7,1,30,1,7,1,6,3,7,1,6,1,7,1,30,1,6,1,30,3,29,1,30,1,29,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,3,29,1,30,2,28,2,29,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,28,1,6,1,29,1,6,1,30,1,29,2,28,1,30,2,7,1,6,1,13,9,8,2,13,1,9,2,10,1,9,1,11,1,12,1,9,1,11,1,16,1,10,1,9,2,11,1,8,1,9,1,11,6,16,1,17,2,16,1,17,1,12,1,16,1,9,2,16,1,11,2,9,1,8,1,13,2,6,2,7,1,6,1,30,1,28,2,30,1,28,1,30,3,28,1,30,3,28,3,30,3,13,1,8,1,9,3,13,2,6,1,30,1,6,1,7,1,6,3,30,1,6,1,30,2,28,2,30,1,28,10,30,1,28,1,30,2,28,2,30,2,28,2,30,1,29,1,17,1,8,1,11,3,16,4,12,2,11,1,9,1,10,1,9,2,11,1,9,1,10,1,12,1,11,3,8,2,11,1,9,1,11,1,9,1,8,1,9,1,8,1,9,1,11,1,13,1,11,1,9,1,13,1,8,1,9,1,8,3,9,1,8,1,13,4,9,1,13,1,8,1,13,3,8,1,13,1,7,1,6,1,8,1,13,1,8,3,13,3,6,1,13,1,8,1,13,3,6,1,13,3,8,1,13,2,6,1,13,2,6,1,13,7,8,3,13,17,6,1,13,3,8,1,13,2,8,1,13,2,7,1,10,1,13,1,28,5,30,1,28,1,30,3,28,6,30,1,28,8,30,1,28,17,13,1,17,2,13,1,9,1,13,1,6,2,29,1,30,1,29,1,28,1,30,1,28,8,30,1,13,1,28,1,6,2,8,1,11,1,8,1,9,2,12,1,16,1,28,7,13,1,29,1,30,1,28,43,6,1,28,4,16,1,17,1,16,1,9,1,30,1,6,3,13,1,30,1,29,1,8,1,17,3,13,1,28,5,30,2,6,1,28,10,}, {29,1,30,1,28,3,8,1,16,1,13,1,28,49,30,1,7,1,24,1,9,2,17,2,8,1,30,2,28,3,6,1,11,1,12,1,8,2,13,1,9,1,16,2,12,1,17,6,10,1,13,1,8,1,13,1,6,2,13,1,6,1,9,1,16,1,11,1,13,1,7,2,8,1,6,1,9,1,17,4,16,1,9,3,8,1,13,1,8,1,9,1,12,1,16,1,17,2,9,1,13,2,30,1,6,1,7,1,6,2,28,37,6,1,13,1,24,1,11,1,17,1,9,1,13,1,6,1,30,1,6,2,7,1,6,1,11,1,17,3,16,1,17,1,9,1,17,1,10,1,9,1,17,1,9,3,13,1,8,1,7,1,8,1,13,1,8,1,30,1,13,2,9,2,11,1,16,2,17,4,9,1,28,17,7,1,13,1,6,3,30,1,29,2,6,2,13,1,6,7,7,1,29,1,6,1,7,1,6,1,29,1,13,3,30,1,13,2,7,1,13,1,7,2,6,1,7,1,8,1,6,2,7,1,6,1,13,2,9,2,12,2,11,1,17,1,11,1,9,1,10,2,11,1,10,1,12,1,9,2,10,1,9,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,3,9,1,11,1,10,1,12,1,17,1,11,1,9,1,10,1,17,1,10,1,17,1,12,1,17,25,12,1,17,25,12,1,17,1,11,1,17,1,12,3,17,1,11,1,17,10,12,1,17,1,12,1,17,2,11,1,12,1,9,1,11,1,12,1,17,6,12,2,9,1,17,3,12,1,10,2,11,1,9,1,17,1,10,1,12,6,9,1,11,1,9,3,11,1,10,1,9,1,10,1,11,1,10,1,9,2,12,1,9,1,11,1,9,1,12,1,9,1,24,1,12,1,9,1,10,1,9,1,10,2,8,1,11,1,12,1,11,2,9,4,10,1,9,2,11,1,9,1,10,1,11,1,12,1,9,1,10,1,12,1,10,3,9,1,11,1,17,1,12,1,17,1,11,1,17,27,12,1,17,1,12,2,11,1,17,2,12,2,11,1,17,3,11,1,12,3,9,3,11,2,17,26,12,1,17,14,12,1,17,1,10,1,17,1,9,1,10,1,12,1,8,1,9,1,8,1,9,1,11,1,10,1,11,1,12,2,10,1,8,1,9,1,17,6,9,1,11,2,12,1,17,1,11,1,24,2,9,3,11,1,9,2,13,1,8,1,13,1,9,1,24,1,9,2,8,1,11,1,24,1,10,4,17,1,9,1,24,2,9,4,24,1,11,1,9,1,10,1,9,1,13,5,8,1,13,2,7,3,6,2,7,1,6,1,7,2,6,1,13,1,6,1,13,1,29,1,7,1,6,1,13,4,8,1,13,2,8,3,13,1,8,1,13,1,7,1,6,1,13,1,7,1,6,1,7,1,13,1,6,1,7,1,6,3,13,1,6,3,7,1,6,1,13,1,6,3,30,1,29,1,30,1,29,1,30,2,28,1,29,1,28,1,6,1,30,2,6,1,29,1,30,2,28,1,6,1,29,3,30,1,28,1,30,2,29,1,30,7,28,1,30,3,28,4,29,1,28,1,29,1,30,1,28,1,6,2,30,1,29,1,30,1,29,1,30,2,6,1,30,3,29,1,28,1,30,1,6,1,28,1,29,1,30,1,29,1,30,1,6,1,30,1,29,1,30,1,29,1,30,3,28,1,6,1,28,2,29,1,28,2,30,1,29,1,30,3,29,1,28,1,30,10,6,2,13,2,9,2,11,1,12,1,17,2,9,1,17,1,12,1,17,1,12,1,11,1,12,3,10,1,17,1,10,1,12,2,17,1,12,1,10,1,9,1,10,1,12,1,11,2,10,1,12,1,11,1,10,1,17,2,10,1,17,46,11,3,17,1,11,1,12,3,17,1,11,2,17,3,12,1,17,2,11,1,17,1,9,1,10,1,12,1,10,1,9,1,24,1,8,1,9,1,13,1,8,2,9,2,8,2,24,2,13,1,6,1,7,1,6,3,29,1,6,4,7,1,13,1,29,1,6,2,7,1,6,1,7,1,30,1,7,1,6,2,13,2,6,1,13,1,7,1,8,1,13,5,9,1,13,1,9,1,8,1,13,1,8,1,13,2,9,1,17,1,28,4,6,2,29,1,6,1,28,1,30,1,6,1,29,1,13,1,30,5,6,1,30,2,6,1,29,1,30,1,6,1,28,1,30,5,6,1,30,1,6,1,30,3,6,1,29,1,28,1,6,1,13,1,30,1,13,1,6,3,30,1,6,1,30,2,28,1,6,1,30,1,28,5,30,1,28,1,6,1,28,2,30,2,28,3,30,1,28,1,30,2,28,1,30,4,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,5,6,1,28,2,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,4,30,3,13,1,30,1,28,1,30,1,28,3,30,4,28,2,30,3,28,1,30,1,29,1,30,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,13,1,9,1,13,3,28,1,30,2,28,2,30,1,28,1,30,2,28,2,30,3,28,3,30,1,28,2,30,5,28,1,30,7,28,1,6,1,28,6,30,1,28,4,30,1,28,6,30,1,28,5,13,1,29,1,28,1,29,1,28,1,30,1,6,1,29,1,30,1,28,1,30,4,28,3,30,1,28,3,30,1,28,8,30,2,28,1,30,2,28,2,30,1,13,1,6,2,28,12,30,2,28,4,30,1,28,1,30,1,28,1,30,2,28,3,30,1,6,1,30,1,28,1,13,1,9,1,8,1,13,1,30,2,28,1,30,1,28,22,30,1,28,6,30,1,28,6,29,1,30,1,28,12,30,1,28,14,30,1,28,18,30,1,28,18,30,2,13,5,28,4,30,1,28,4,30,2,28,2,30,1,28,11,30,1,28,3,30,2,17,1,6,1,28,3,30,1,28,9,30,4,28,2,30,2,28,1,30,1,28,2,30,1,28,3,30,1,29,1,28,3,30,1,28,2,30,1,28,4,30,2,28,2,30,1,28,13,30,1,28,17,13,1,12,1,10,1,12,1,10,1,24,4,8,2,27,1,29,1,7,2,10,1,16,1,17,21,11,2,17,1,16,1,11,2,9,1,11,1,9,1,11,2,9,1,8,1,11,1,9,1,10,1,12,1,10,1,11,1,8,1,9,1,10,1,9,1,8,1,12,1,10,1,8,3,10,2,9,1,8,1,13,1,25,1,30,1,29,1,27,3,26,1,29,1,30,2,28,1,30,1,28,2,29,2,30,1,29,2,6,1,29,1,28,13,30,1,11,1,16,2,17,1,11,2,17,3,11,1,17,1,11,1,9,1,6,1,30,1,6,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,3,30,1,28,2,30,2,28,1,30,1,28,1,30,3,28,1,30,1,6,4,7,1,13,1,30,1,6,1,30,1,7,1,6,1,7,1,13,3,6,1,30,1,13,3,7,1,6,1,7,1,6,3,13,1,6,4,13,3,6,1,13,7,9,1,13,1,8,1,13,1,8,1,10,1,9,2,13,2,9,1,8,1,10,1,9,1,8,1,13,1,8,1,13,2,9,1,8,1,10,1,17,4,11,1,16,1,8,1,13,1,6,1,30,2,28,2,30,1,28,3,30,1,28,6,30,2,28,1,30,1,28,1,30,3,28,2,6,6,30,2,6,2,29,1,30,1,6,2,30,1,6,2,29,1,30,1,6,2,28,1,6,1,7,1,29,1,6,1,13,1,6,1,30,1,6,2,28,1,6,1,30,1,7,1,8,1,13,1,7,1,6,1,30,5,29,1,6,4,30,1,6,1,29,1,6,1,29,1,6,4,30,2,29,1,7,1,13,1,28,2,6,1,30,3,29,1,30,1,28,1,30,1,6,1,28,2,6,1,28,1,30,1,6,2,30,1,28,1,30,1,13,1,30,1,28,2,30,1,29,1,30,1,6,1,30,1,13,1,29,1,28,1,30,1,29,2,28,1,6,2,30,1,28,1,6,1,30,1,29,1,7,1,6,1,7,1,6,1,13,1,8,1,13,5,30,1,13,4,8,2,13,1,8,1,9,2,8,1,12,1,11,1,16,1,17,1,11,1,16,1,17,1,16,1,17,1,12,1,17,2,12,1,17,1,16,1,12,1,16,1,9,1,17,1,10,1,9,3,11,1,9,2,10,2,9,1,11,2,10,1,9,2,11,1,17,3,10,1,9,1,11,1,8,1,9,1,8,1,9,3,8,3,7,1,13,1,6,1,13,1,6,1,7,2,6,1,29,1,6,2,13,1,29,1,6,1,29,2,6,1,29,1,30,2,6,1,28,1,6,1,30,2,28,1,30,1,28,1,6,1,28,1,30,4,28,1,30,6,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,2,28,2,30,1,28,2,30,2,29,1,30,2,28,2,30,1,28,2,6,1,30,2,6,1,30,2,13,1,30,1,6,1,7,1,6,1,8,1,13,4,8,2,13,2,9,3,8,1,10,1,11,1,8,1,11,1,9,3,11,1,8,1,9,1,11,1,9,2,11,2,10,1,9,2,17,1,16,1,17,1,9,1,11,2,9,1,11,1,8,1,13,1,8,2,13,1,6,3,29,1,6,1,28,2,30,2,28,3,30,1,28,6,30,3,7,1,8,1,9,1,8,1,13,1,7,1,13,1,29,1,13,1,29,1,13,2,6,1,7,1,6,1,30,4,28,4,30,1,28,5,30,1,28,6,30,1,28,2,30,1,28,2,6,1,16,3,9,1,12,1,16,1,11,1,16,1,12,1,16,1,11,1,10,1,11,1,9,2,11,1,9,3,11,1,9,1,11,2,9,1,10,1,8,1,9,1,11,1,13,1,9,1,8,1,7,1,13,1,9,1,13,1,8,1,13,1,11,1,13,1,9,1,8,1,13,2,9,1,13,1,8,1,13,8,8,1,13,1,9,2,7,1,9,1,8,1,6,1,13,8,8,1,13,2,8,1,13,1,8,1,6,1,9,1,6,1,13,5,8,1,7,1,13,6,6,1,13,6,7,1,13,2,9,1,8,1,6,1,13,4,6,1,13,1,7,1,8,1,13,1,9,1,13,3,8,1,9,1,13,4,28,8,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,20,13,1,17,2,13,1,9,1,13,1,7,1,13,1,30,1,29,1,28,10,30,1,28,1,29,1,28,1,6,1,29,1,9,2,8,1,12,1,9,1,16,1,9,1,28,7,6,1,9,1,6,1,28,43,8,1,30,1,28,3,14,1,17,2,9,1,6,3,13,1,30,1,28,1,13,2,10,1,16,1,17,1,13,1,28,5,30,1,6,1,28,11,}, {28,2,29,1,28,2,13,1,16,1,13,1,28,22,6,1,28,20,30,1,28,6,29,1,8,1,9,1,13,1,17,1,11,1,13,2,6,1,28,2,29,1,6,1,8,1,12,1,13,2,8,1,24,1,17,2,16,1,17,6,16,1,8,4,6,1,29,1,13,1,10,1,17,1,12,1,8,1,13,1,7,1,13,1,30,1,11,1,17,2,16,1,17,1,9,2,13,2,9,1,13,1,9,2,11,1,17,1,11,1,17,1,8,1,6,1,13,1,6,2,7,2,13,1,28,37,29,1,13,1,8,1,9,1,17,1,9,1,6,1,7,1,6,1,30,1,7,2,6,1,9,1,17,6,16,1,17,1,9,1,12,1,13,2,6,2,8,1,13,3,6,1,8,1,7,1,8,2,9,1,11,1,17,2,16,3,17,1,11,1,28,17,7,1,6,4,30,1,7,1,28,1,7,1,13,3,30,2,6,5,29,1,6,4,13,4,7,1,13,1,7,1,13,8,8,2,13,1,8,1,10,1,9,1,17,1,11,1,10,1,17,1,10,2,9,1,10,1,11,1,9,1,11,1,9,3,11,1,9,1,10,1,12,1,9,1,12,1,11,1,17,1,11,1,12,1,11,1,10,1,12,1,11,1,12,2,17,1,11,1,17,2,10,1,17,6,12,1,17,5,12,1,17,44,12,1,11,1,17,1,12,1,17,2,11,1,17,7,11,1,17,2,12,1,17,2,11,1,12,2,11,1,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,12,1,17,1,10,1,12,2,17,4,12,2,11,1,8,1,12,1,9,1,11,1,8,1,12,1,10,1,11,1,10,1,17,1,10,2,11,1,12,1,9,1,12,1,9,1,10,1,9,1,10,3,24,1,9,1,11,1,9,2,11,1,8,1,10,1,9,4,10,1,9,3,10,1,9,2,10,1,11,2,10,1,8,1,10,1,12,1,17,1,12,2,11,1,16,1,17,1,16,1,17,2,10,1,17,27,9,1,17,1,12,1,17,1,12,2,17,1,9,1,17,1,10,2,17,4,10,1,17,6,12,1,17,8,12,1,17,17,11,1,17,10,12,1,17,1,12,1,11,1,12,1,17,1,9,1,11,1,9,3,13,1,9,1,10,1,11,1,9,3,13,1,8,2,17,6,12,1,17,2,10,1,12,2,17,1,11,2,9,1,8,1,9,2,24,1,8,2,24,1,8,1,24,1,10,1,13,2,9,2,24,1,10,1,9,1,24,1,12,1,24,1,9,3,24,1,9,1,24,1,12,1,24,1,11,1,10,1,8,1,24,1,9,1,24,1,8,2,13,1,8,2,13,2,6,1,13,4,6,1,13,2,7,2,13,2,7,1,8,1,6,1,13,1,6,1,13,3,6,1,13,1,8,1,13,2,7,1,8,1,13,2,7,2,13,1,6,1,7,1,13,1,6,5,7,1,6,1,30,1,13,1,6,3,30,1,6,1,29,1,30,1,6,7,28,1,6,1,30,1,28,1,30,2,6,1,30,3,29,2,28,1,29,1,30,1,28,1,30,2,29,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,9,28,1,6,1,29,1,6,2,30,1,28,1,30,8,29,1,30,1,29,1,30,1,6,1,30,3,6,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,30,2,28,1,30,1,28,1,30,2,29,2,28,2,30,2,29,1,30,1,28,2,30,2,6,2,29,1,6,1,8,1,13,1,9,2,17,1,11,1,17,6,11,1,12,1,11,1,12,1,11,1,10,1,12,2,10,1,11,1,12,1,11,1,12,1,17,1,11,1,10,1,12,2,9,2,11,2,12,1,17,49,10,1,17,1,11,2,17,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,1,10,1,17,1,10,1,12,1,9,1,12,1,10,1,9,2,10,1,9,3,8,1,13,1,8,1,9,1,8,1,9,1,13,2,8,1,13,1,7,1,13,1,6,1,7,2,6,3,29,2,6,2,7,1,6,2,13,1,6,2,29,1,30,1,7,1,6,2,7,1,6,1,13,1,7,1,13,4,8,2,7,1,9,1,13,2,24,1,13,1,8,3,11,1,10,1,28,2,30,1,28,1,29,1,6,3,30,2,6,1,28,1,30,1,6,1,28,3,30,1,7,1,28,1,30,9,28,1,6,2,30,4,29,1,30,1,6,1,7,1,13,1,6,4,13,1,7,1,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,6,1,28,1,30,2,28,1,30,2,28,2,30,4,28,1,30,4,28,1,30,1,6,1,30,2,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,4,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,29,1,28,1,30,1,28,1,30,1,28,2,13,1,8,1,13,2,6,1,7,1,13,2,6,1,30,1,6,2,30,2,6,1,28,1,29,1,30,3,7,1,6,1,30,2,13,1,30,2,28,1,30,1,13,1,8,1,9,1,8,2,13,1,8,1,6,1,30,2,6,1,30,4,28,3,30,1,28,1,30,1,6,1,30,1,28,4,30,1,28,3,30,1,28,1,30,5,6,2,30,1,28,7,30,1,28,4,30,2,28,12,6,1,30,4,6,1,30,4,29,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,2,30,1,28,4,30,2,28,3,29,1,30,1,13,1,7,1,29,1,28,6,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,3,30,1,28,2,30,1,8,1,13,1,6,2,9,1,8,1,6,1,28,2,30,4,28,5,30,1,28,5,30,1,28,8,30,1,28,1,30,2,28,4,30,1,28,20,30,2,28,13,30,1,28,22,30,2,28,4,30,1,28,1,30,1,28,4,30,1,28,2,30,1,13,4,6,2,28,2,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,11,30,1,28,2,30,1,28,1,29,1,17,1,13,1,28,4,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,5,30,1,28,3,30,1,29,1,28,2,30,1,28,10,30,1,28,7,30,2,28,11,30,1,28,6,30,1,28,1,30,2,28,2,30,1,13,1,9,1,12,2,24,2,12,1,8,2,25,1,24,1,27,1,6,3,9,1,12,1,17,25,12,1,11,1,9,1,11,1,10,1,11,1,9,1,11,7,9,1,8,1,17,1,11,2,9,1,11,1,9,4,8,1,17,1,9,1,8,2,25,1,29,1,25,1,29,1,8,1,29,1,27,1,28,2,30,2,28,4,29,2,28,2,6,1,30,1,28,1,30,1,28,7,29,1,28,2,30,2,11,4,17,4,11,1,16,1,17,2,11,1,6,1,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,3,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,3,28,1,30,1,28,2,30,1,6,1,30,1,29,1,6,2,29,1,6,1,30,1,29,1,30,1,6,3,8,1,13,1,8,1,13,1,6,1,7,1,6,1,7,1,29,1,7,1,6,4,13,1,6,2,7,1,6,1,7,1,6,1,7,1,13,5,9,1,13,1,8,1,13,1,9,1,13,1,9,5,13,1,8,2,9,2,10,1,8,1,9,1,8,2,9,1,13,1,8,1,9,1,17,4,16,1,11,1,7,1,9,1,13,1,6,1,30,1,28,7,30,1,28,3,30,1,28,1,30,4,28,1,30,1,6,1,28,1,30,1,29,1,30,7,6,2,30,1,6,1,28,1,6,2,30,1,6,11,29,1,6,4,28,2,6,2,13,1,8,1,6,2,30,1,6,2,30,1,6,2,13,1,30,2,29,1,6,2,30,1,6,3,30,1,6,1,30,2,6,1,28,1,6,2,29,1,6,1,30,3,6,1,30,1,29,1,30,1,29,1,30,2,28,1,30,5,29,1,30,1,29,1,30,1,28,1,30,3,28,1,30,1,28,1,30,5,29,1,30,2,13,1,6,1,30,1,6,1,30,1,6,4,7,2,13,4,8,1,6,1,13,1,6,1,13,3,8,2,9,2,8,1,9,2,10,1,11,4,17,1,12,1,17,8,11,1,17,4,10,1,11,1,12,1,10,2,12,1,17,1,10,1,17,1,10,1,9,2,11,3,12,1,16,1,11,3,12,1,10,1,9,2,10,2,13,1,9,1,13,3,6,1,13,1,7,2,13,2,6,1,13,1,30,1,6,1,7,1,30,1,6,1,7,1,6,1,30,1,6,1,30,1,6,1,30,4,28,1,29,1,28,2,30,2,29,1,30,1,29,1,28,1,30,2,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,3,28,7,29,1,28,2,30,2,28,1,30,1,28,1,29,1,28,2,30,4,6,2,7,1,6,1,13,2,7,1,13,6,7,1,13,1,8,2,13,1,9,1,8,1,9,4,16,1,9,3,10,1,9,1,8,1,11,2,13,1,9,1,11,1,9,1,11,1,9,1,16,1,17,2,8,1,9,1,8,1,11,1,9,2,13,2,7,1,6,2,29,2,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,6,1,13,2,8,2,13,3,29,1,13,2,6,2,30,1,6,1,30,1,6,1,30,1,29,1,30,2,28,7,30,1,28,1,30,1,28,7,30,1,28,4,13,1,17,1,9,1,16,1,12,1,16,2,11,1,12,1,16,1,11,2,10,1,11,1,9,2,11,2,8,1,11,1,16,1,9,2,11,1,9,4,8,2,9,2,8,1,9,1,8,2,13,2,9,2,8,1,13,4,6,1,13,1,8,1,13,4,8,2,13,1,8,1,6,1,13,5,8,2,13,7,8,1,7,1,8,1,13,4,7,1,8,1,13,2,8,2,13,1,8,1,13,5,7,1,13,2,7,1,13,8,9,1,13,1,6,1,13,3,6,1,13,2,8,1,6,1,8,1,13,1,8,3,13,1,9,1,13,2,8,1,13,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,4,30,1,28,20,8,1,17,2,8,1,9,1,7,1,6,4,29,1,28,1,30,1,28,9,29,1,28,1,9,1,13,1,24,1,9,2,16,1,17,1,12,1,9,1,28,7,8,1,9,1,30,1,28,42,29,1,7,1,28,3,6,1,17,1,16,1,10,1,13,1,28,1,6,1,29,1,6,2,13,1,6,1,8,1,9,1,17,2,30,1,28,6,6,1,30,1,28,10,}, {30,1,28,4,8,1,11,1,8,1,30,1,28,47,30,1,28,1,13,1,6,1,9,1,17,1,9,1,17,1,8,1,9,1,29,1,28,2,29,1,30,1,9,1,17,1,8,1,13,1,9,2,16,1,17,1,16,2,17,5,11,1,10,1,13,2,29,1,7,1,13,1,29,1,8,1,12,1,11,1,8,1,29,1,7,1,13,1,30,1,10,1,17,4,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,11,1,16,2,11,1,6,3,30,1,6,1,28,1,13,1,30,1,28,36,30,1,8,2,24,1,17,1,8,1,13,1,30,1,13,1,7,1,13,1,30,1,6,1,16,1,17,7,11,1,10,2,13,3,7,1,13,1,7,1,8,1,24,1,30,1,13,2,8,3,13,1,8,1,9,1,16,3,17,1,9,1,28,17,13,1,7,3,6,2,7,1,6,1,13,2,8,1,29,1,30,1,29,1,30,2,6,1,30,2,6,2,30,1,6,1,13,1,8,1,6,1,24,1,8,1,7,1,13,6,6,1,13,5,8,1,9,1,10,1,11,1,17,3,11,1,12,2,9,3,8,1,10,1,8,1,9,3,10,1,11,1,9,1,10,1,17,1,11,2,17,1,12,1,17,1,12,2,11,1,12,2,9,1,17,2,12,1,10,1,9,1,17,2,12,1,17,3,12,1,17,7,12,1,17,16,12,1,17,25,11,1,12,1,17,3,11,1,12,2,17,4,11,1,17,1,11,1,17,4,9,1,10,1,12,1,17,1,11,1,17,1,12,2,17,1,12,1,17,2,10,1,12,1,17,2,12,2,17,1,11,1,12,3,10,1,11,1,17,1,9,1,10,1,17,1,11,1,10,2,11,1,10,1,17,1,12,1,11,1,10,1,12,1,11,1,10,1,13,1,17,1,9,2,12,1,9,1,11,1,9,2,12,1,10,3,9,2,8,1,10,1,9,1,10,2,9,1,11,1,24,1,10,1,9,3,11,1,9,1,24,1,9,1,11,1,9,1,12,1,9,2,17,1,10,1,17,1,9,1,17,1,12,1,17,2,12,1,17,12,12,1,17,14,11,1,12,1,17,3,10,1,12,1,17,1,10,1,17,1,11,1,17,1,11,1,17,1,11,3,9,2,11,1,17,1,12,4,17,5,12,1,17,19,12,1,17,9,12,2,11,1,17,1,10,1,11,1,12,1,9,1,8,3,24,1,9,1,17,1,10,1,8,2,13,4,11,1,17,6,12,4,9,1,17,1,12,1,24,1,11,2,9,1,24,1,9,1,24,3,11,1,24,1,9,1,24,1,10,1,24,1,10,1,12,2,9,1,11,1,24,1,9,1,10,1,24,1,8,1,12,1,9,2,11,1,9,1,10,1,12,1,10,1,24,1,13,1,8,1,9,1,13,1,24,1,8,1,13,3,8,1,24,1,6,1,13,1,6,1,13,1,6,1,8,1,6,1,13,1,7,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,7,1,8,1,13,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,7,1,6,2,7,2,30,1,7,1,30,1,7,1,30,1,6,1,13,1,29,2,30,1,13,1,6,3,30,1,29,1,6,1,29,1,30,1,29,2,30,4,29,1,30,3,29,1,6,1,30,7,28,1,30,4,28,1,30,2,28,2,30,1,28,1,30,2,29,1,30,2,29,1,30,1,28,1,6,2,30,2,28,1,29,1,6,1,28,1,29,1,6,1,28,1,29,1,6,1,28,1,6,1,13,1,6,1,28,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,30,7,29,1,30,2,29,3,30,2,29,3,6,1,29,1,30,1,13,2,7,1,8,1,9,1,11,1,17,2,11,1,17,4,12,1,17,1,12,1,10,1,17,1,12,1,9,1,17,1,11,2,17,1,9,1,17,1,12,2,11,1,9,1,11,1,10,1,9,1,17,1,9,1,17,1,11,1,17,1,10,1,17,3,12,2,17,1,12,1,17,11,11,1,17,29,11,1,17,1,9,1,17,2,11,2,12,3,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,11,1,12,1,10,1,9,1,8,3,24,2,8,2,9,1,10,1,7,1,8,2,13,2,6,1,13,1,6,3,7,1,6,1,30,1,6,3,7,2,6,2,13,1,6,2,7,1,6,1,13,5,8,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,24,1,13,1,9,2,13,1,17,1,9,1,28,1,30,5,13,1,28,1,30,1,29,1,6,1,28,4,30,1,28,1,29,1,6,1,30,1,29,1,13,1,28,1,30,4,28,1,30,1,6,1,29,1,30,1,28,1,7,1,28,3,30,6,28,1,6,2,30,1,6,1,30,1,6,1,29,1,30,7,28,2,30,1,29,1,6,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,8,30,1,28,2,30,3,28,3,30,2,28,2,30,1,6,1,28,3,6,1,30,1,6,1,28,4,6,1,30,1,28,2,30,3,28,1,30,2,28,1,30,1,28,1,13,2,6,2,30,4,29,1,30,3,6,6,30,1,6,1,13,1,6,1,29,1,28,3,30,1,6,1,13,1,8,1,13,2,9,1,7,1,13,2,28,1,30,1,28,2,30,3,28,2,30,2,28,2,30,2,7,1,6,1,28,1,29,1,6,1,28,1,30,1,6,1,30,1,28,3,6,1,28,1,30,1,29,1,6,1,30,1,6,1,30,2,28,1,30,2,28,6,6,1,28,3,30,1,28,3,30,2,28,4,30,2,28,1,6,1,28,1,6,1,28,1,30,1,6,1,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,9,30,1,28,1,30,1,28,1,30,2,6,1,13,1,6,1,13,1,30,2,28,6,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,7,1,9,1,8,1,30,1,28,2,30,1,13,1,30,2,28,2,30,1,28,5,30,1,28,6,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,12,30,1,28,1,30,1,28,3,30,1,28,9,30,1,28,11,30,1,28,10,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,3,6,1,30,1,9,1,6,1,13,2,6,1,28,31,30,1,9,1,6,1,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,5,30,1,28,7,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,3,6,1,30,1,28,9,30,2,28,1,30,1,28,7,30,1,28,1,30,2,28,1,30,1,28,3,29,1,30,1,13,1,12,1,10,1,24,1,10,1,24,2,8,1,25,2,27,1,29,1,6,1,29,1,8,1,10,1,12,1,17,24,11,1,16,1,11,2,10,1,11,4,17,1,9,1,11,2,9,1,11,1,9,1,10,1,9,1,10,1,9,1,11,1,10,1,11,1,9,5,10,1,8,1,24,1,27,2,29,1,26,1,24,1,27,2,30,1,28,1,27,1,30,1,28,4,6,2,29,1,30,1,6,1,30,1,28,9,30,1,28,4,16,1,11,1,17,2,11,2,17,5,11,2,13,2,30,2,6,1,28,2,30,2,28,4,30,1,28,1,30,1,28,4,30,2,28,1,30,2,28,2,30,3,28,1,29,1,28,2,30,1,28,1,30,3,28,1,30,1,29,1,30,2,6,2,13,2,6,2,13,1,6,2,8,1,6,1,30,1,8,1,6,1,13,1,7,1,13,1,6,2,29,1,6,1,7,1,6,2,30,1,6,3,7,1,13,1,30,1,7,1,6,2,13,2,8,1,6,1,13,1,8,2,13,1,8,3,9,1,8,2,9,1,8,1,9,3,8,1,9,1,10,1,9,1,13,1,8,1,13,1,9,1,10,1,17,2,16,1,10,1,11,1,9,1,13,2,6,1,30,2,28,1,30,2,28,1,30,1,28,3,29,1,30,1,28,2,30,5,29,1,6,1,30,1,29,1,30,2,29,1,6,2,30,1,29,1,30,1,29,1,30,1,29,1,30,1,6,4,30,2,6,1,30,2,6,2,29,1,6,1,29,1,6,1,7,1,28,1,6,1,28,1,30,1,7,1,28,1,13,1,6,1,7,1,13,3,7,1,6,1,7,1,6,1,7,1,6,5,7,1,30,1,6,1,30,2,6,2,30,6,13,1,29,1,28,1,30,8,28,2,6,1,28,1,30,2,28,1,30,2,29,1,30,5,6,1,7,1,30,4,6,1,30,1,28,1,30,1,28,1,30,1,6,1,30,2,28,1,6,1,28,1,6,1,29,1,6,1,7,1,13,4,7,1,13,1,7,1,13,2,6,1,8,1,13,1,8,1,13,1,11,1,13,1,9,1,11,1,12,2,11,1,17,1,11,1,17,14,12,2,11,1,10,1,11,2,10,2,13,2,9,1,11,1,10,2,9,1,11,1,17,1,12,2,9,1,12,1,10,1,9,1,8,2,11,1,9,1,8,2,9,1,13,5,6,1,8,1,7,1,6,1,30,1,6,3,30,1,6,2,28,1,6,1,30,1,29,1,6,2,28,1,30,4,6,1,28,1,6,1,30,4,28,1,30,1,29,1,28,2,30,2,6,1,28,9,30,3,28,2,30,2,28,2,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,6,6,2,13,1,6,1,13,8,8,1,13,2,8,1,9,2,8,2,12,1,9,1,13,1,11,1,9,1,10,1,9,1,10,2,9,2,10,1,8,1,11,1,9,2,11,2,16,1,17,1,9,2,13,6,30,2,28,1,30,2,28,3,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,1,6,1,7,1,9,2,8,1,13,5,6,1,30,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,9,30,1,28,2,30,1,28,1,13,1,14,1,16,5,17,2,11,1,16,1,10,1,11,2,12,1,16,1,9,3,11,1,12,2,17,1,9,1,11,1,9,8,11,1,8,1,9,4,13,1,8,2,9,2,13,4,8,2,13,1,6,1,8,1,13,2,7,2,13,1,6,1,13,7,6,2,7,1,13,6,6,1,7,1,13,4,9,1,13,1,6,1,13,2,8,1,9,1,6,1,8,1,13,2,7,1,13,2,7,1,8,1,13,5,7,1,13,3,6,1,13,3,8,1,13,7,8,1,9,1,13,1,8,1,13,1,8,1,6,1,28,3,30,1,28,4,30,1,28,11,30,2,28,21,13,1,17,2,10,1,6,1,7,1,13,1,29,1,6,1,29,1,30,1,28,10,30,1,6,1,29,1,6,2,9,1,8,1,9,1,11,1,17,1,10,1,13,1,28,6,30,1,9,1,13,1,7,1,28,42,29,1,7,1,28,3,13,1,17,2,16,1,13,1,29,1,6,4,29,1,6,1,13,1,17,2,16,1,7,1,28,5,6,1,30,1,29,1,28,10,}, {28,5,8,1,17,1,9,1,30,1,28,22,29,1,28,24,30,1,28,1,24,1,8,1,9,1,8,1,17,1,16,1,11,1,8,1,13,1,30,1,28,2,6,1,8,1,17,1,13,1,9,1,8,1,13,1,17,3,16,1,17,1,16,1,17,3,9,1,10,1,8,1,13,1,8,2,13,3,16,2,13,3,8,1,13,1,9,1,17,3,16,1,11,2,9,1,8,1,13,1,9,3,10,1,16,1,17,2,9,1,13,1,29,1,7,2,30,1,13,2,30,1,28,37,7,1,8,1,11,1,10,1,11,1,13,1,29,1,13,1,6,1,30,1,13,1,6,1,9,1,17,4,11,1,16,1,17,2,16,1,11,1,9,1,13,1,8,1,13,2,24,1,8,1,6,1,7,1,6,1,7,1,13,1,9,1,13,1,9,2,11,1,16,1,11,1,16,1,17,1,16,1,28,17,13,4,29,1,13,1,6,1,7,1,13,2,7,1,6,2,30,1,28,1,6,1,29,1,6,1,30,1,6,1,30,1,7,3,6,1,13,3,8,1,7,1,13,3,7,1,13,4,8,1,13,2,9,2,12,3,17,1,11,2,12,1,9,1,11,1,9,1,10,1,11,1,12,1,8,1,9,1,8,1,10,2,9,2,17,1,10,2,11,1,10,3,12,2,11,1,17,1,11,2,17,3,12,3,17,4,12,1,17,24,12,1,17,23,11,1,17,3,12,1,17,10,12,1,10,1,17,2,12,1,17,1,9,1,10,1,11,2,10,1,12,1,17,3,12,3,11,1,17,2,12,3,10,1,17,3,12,2,17,2,11,1,17,2,9,1,11,3,9,1,17,1,12,1,17,1,9,1,12,1,11,1,12,1,11,1,17,1,11,2,10,1,17,1,9,1,11,1,10,1,12,1,24,1,11,1,9,2,10,1,11,1,10,1,9,1,12,1,10,2,8,1,9,1,12,1,9,1,11,1,10,2,9,1,11,2,10,1,11,2,10,1,12,1,11,2,17,1,10,1,12,1,10,1,11,1,17,1,12,4,17,6,11,2,17,6,12,1,17,8,12,2,17,1,12,1,10,2,12,1,17,1,12,1,17,5,11,1,12,1,10,1,17,1,12,1,17,3,12,1,17,15,12,1,17,24,12,1,17,1,11,1,12,1,8,1,9,1,8,1,9,1,24,1,9,1,10,1,9,1,12,1,24,1,8,2,13,2,29,1,8,1,9,1,17,7,10,1,17,1,12,3,17,1,11,1,12,1,10,1,9,2,8,1,9,2,8,1,10,1,9,2,11,1,12,1,9,1,12,2,9,1,10,1,9,1,24,1,9,1,24,1,10,1,9,2,10,2,8,1,10,1,17,1,9,1,8,1,9,1,8,1,9,1,8,2,9,2,8,1,9,1,13,2,8,2,13,1,7,1,13,1,6,1,13,5,30,1,13,1,7,2,6,1,13,7,7,1,13,2,7,3,8,1,7,1,30,1,7,1,6,1,30,2,6,1,29,1,6,4,7,2,29,1,6,1,28,1,30,1,29,1,30,1,7,1,6,1,29,1,30,1,6,3,7,1,30,1,6,2,29,1,6,1,28,1,30,2,6,1,30,1,28,1,6,1,30,5,28,2,30,1,28,3,30,1,28,1,30,4,28,3,30,3,28,2,30,5,29,2,30,4,29,1,28,1,6,1,7,2,6,1,29,1,30,1,6,4,30,1,6,1,28,3,6,1,28,1,30,4,29,1,30,1,6,1,28,1,30,1,6,1,30,4,29,1,30,2,6,2,29,1,13,3,12,1,11,2,17,9,11,2,10,1,12,1,10,1,17,1,10,1,12,2,9,2,12,1,17,1,9,1,11,1,9,2,12,1,11,1,17,1,12,1,10,1,11,1,9,1,17,3,11,1,12,1,17,42,11,2,17,2,11,1,17,1,9,1,12,1,17,1,11,1,12,1,17,2,12,1,17,2,11,2,12,1,11,1,9,1,12,1,24,1,9,1,11,1,8,1,9,1,8,2,9,1,13,1,8,1,24,1,8,2,24,1,13,2,7,1,6,3,30,1,6,1,30,1,7,2,29,4,30,1,13,1,6,1,29,2,6,1,13,1,6,1,13,5,8,1,13,2,8,1,13,1,8,3,24,1,13,1,9,1,8,1,13,2,8,1,17,1,9,1,28,1,30,1,29,1,28,1,7,1,28,1,13,1,6,1,28,1,29,1,30,2,28,4,30,1,6,1,9,1,6,1,30,1,13,1,28,1,30,2,28,1,30,2,28,1,6,1,28,2,30,5,6,1,30,2,6,1,30,2,6,4,13,1,30,1,28,1,30,2,6,1,30,2,28,4,30,6,28,4,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,6,2,30,2,28,3,6,1,28,5,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,2,30,1,28,2,30,6,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,3,29,1,30,1,28,1,30,2,28,1,30,2,28,2,30,2,6,1,9,1,29,1,30,4,28,1,29,1,28,1,29,1,30,1,6,1,30,2,6,1,7,1,30,1,6,1,30,1,28,1,30,1,29,1,28,1,6,1,30,1,28,1,30,1,13,1,9,2,13,2,9,1,13,1,6,2,30,1,28,1,30,1,6,1,30,1,28,1,30,2,28,3,30,1,28,2,30,1,6,2,30,2,6,1,29,1,28,1,30,1,28,2,6,1,28,1,6,1,30,1,28,2,30,2,6,1,13,1,6,1,30,2,28,7,13,1,28,5,30,1,28,6,30,1,6,1,30,1,6,1,30,4,28,6,30,3,28,2,30,2,28,1,30,3,28,5,30,5,28,1,13,2,6,1,30,1,28,1,30,1,28,7,30,1,28,5,30,1,28,4,30,1,28,1,30,2,6,2,30,2,28,4,30,2,28,3,30,1,28,11,30,2,28,10,30,1,28,1,6,1,30,1,6,1,28,4,30,1,28,6,30,1,28,4,30,3,28,1,6,1,30,3,29,1,28,36,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,13,2,6,1,29,1,6,1,28,1,30,1,28,30,6,1,9,1,13,1,30,1,28,4,30,2,28,6,6,2,28,8,30,1,28,1,30,1,28,1,6,1,28,3,30,1,28,6,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,2,30,1,28,4,6,1,30,1,28,5,30,1,28,2,6,1,28,8,30,1,28,1,30,1,13,1,8,1,12,1,10,1,12,1,10,1,24,1,8,1,25,2,27,1,29,1,30,2,24,1,12,1,17,24,11,1,17,4,11,5,17,1,10,1,11,1,9,1,11,1,9,2,13,1,11,2,17,1,9,1,17,1,11,1,10,1,16,1,10,2,9,2,13,1,24,1,25,1,29,1,27,1,26,1,25,1,29,1,27,1,29,1,28,1,27,1,28,5,30,1,29,1,30,2,29,1,28,1,30,1,28,8,30,1,28,4,11,2,17,11,11,1,7,1,6,1,28,1,30,4,28,2,30,3,28,1,30,1,28,2,30,3,6,1,28,2,30,1,28,3,30,1,28,3,6,1,30,2,28,1,30,1,28,2,29,1,30,1,29,1,6,1,30,2,29,1,30,3,6,1,30,1,6,2,13,1,6,1,13,1,7,1,13,2,6,1,13,1,30,1,13,2,6,1,7,2,30,1,6,2,30,1,13,1,6,1,30,1,6,1,13,1,6,3,13,8,9,1,13,1,8,1,9,1,13,1,9,2,10,1,13,1,10,1,8,1,9,1,10,1,8,1,9,1,13,1,8,1,9,1,8,2,16,1,17,3,9,2,13,3,30,2,28,3,30,2,28,9,30,3,6,1,28,1,30,1,29,1,28,1,29,1,6,5,29,1,6,1,7,1,30,1,6,2,7,1,6,1,30,1,6,2,29,1,30,1,6,2,30,1,13,1,7,1,6,2,29,1,30,1,6,1,30,4,13,5,30,1,6,1,13,1,7,1,6,1,30,1,6,1,29,1,6,2,13,1,28,1,6,1,30,1,6,2,30,2,6,1,28,5,7,1,6,2,29,2,30,1,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,2,29,1,30,3,28,1,30,6,28,1,29,1,28,1,30,1,6,1,28,1,29,1,30,1,29,1,6,2,29,1,28,1,6,2,7,1,13,3,6,1,8,1,13,2,6,1,8,1,9,1,8,2,9,3,8,1,9,1,11,2,17,14,12,1,17,1,12,1,17,1,8,1,9,1,11,1,8,1,9,1,11,1,10,2,9,1,10,1,11,1,9,1,12,1,9,1,11,1,16,1,17,1,11,2,9,1,11,1,9,3,8,1,9,2,13,2,8,1,7,1,13,1,6,4,7,1,29,1,6,1,13,1,6,2,7,1,6,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,2,6,1,29,1,30,7,28,2,30,4,28,9,30,1,28,3,30,1,28,4,30,3,28,5,30,2,28,2,30,1,28,1,6,1,30,1,7,1,13,1,6,1,13,1,6,1,13,3,6,1,13,4,8,3,9,1,8,2,9,1,13,1,9,2,10,1,8,2,9,5,11,2,9,4,10,1,11,2,8,1,13,2,8,1,13,2,30,1,28,1,30,1,28,1,30,1,28,3,30,3,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,13,1,9,2,13,1,7,1,13,2,7,1,13,1,29,2,30,2,29,2,30,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,4,30,1,28,4,30,1,28,5,7,1,17,1,16,1,11,1,16,2,11,2,16,2,9,1,11,2,9,1,16,1,10,1,9,1,10,1,16,1,9,2,11,2,9,1,8,1,13,3,8,2,11,1,8,1,9,1,13,2,9,2,8,2,13,2,6,1,13,1,6,1,13,2,7,2,6,1,29,1,6,1,13,2,8,1,13,1,8,1,6,1,13,1,6,1,13,1,6,1,7,1,13,1,7,1,6,2,8,1,13,1,6,2,13,2,6,1,7,1,13,2,6,1,13,1,6,1,13,2,7,1,13,1,8,1,7,1,13,1,10,1,8,1,7,1,8,1,7,1,13,1,7,1,13,8,8,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,6,1,13,5,8,1,13,2,8,1,13,2,6,1,13,1,9,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,1,30,2,28,20,9,1,17,2,8,1,9,1,7,1,29,1,7,1,29,1,13,1,30,3,28,9,7,1,29,1,6,1,24,1,9,2,11,1,12,1,17,2,9,1,28,7,13,1,8,1,29,1,28,44,30,1,28,2,13,1,17,2,9,1,13,1,6,1,29,1,6,1,30,1,29,1,6,3,13,1,11,1,17,1,13,1,28,5,6,1,29,1,30,1,28,10,}, {28,3,30,1,28,1,30,1,17,1,11,1,30,1,28,23,30,1,28,3,30,1,28,20,6,1,8,1,13,1,8,1,9,1,17,1,12,2,8,1,30,2,28,2,30,1,24,1,9,2,7,1,8,1,9,1,12,1,17,1,16,1,17,3,16,1,17,2,16,1,9,1,13,2,7,1,6,2,13,1,24,1,11,1,17,1,13,2,8,1,13,2,10,1,17,4,11,1,9,2,13,2,8,1,9,3,17,3,11,1,7,1,6,1,28,1,6,1,30,1,29,1,8,1,6,1,28,37,13,1,7,1,9,1,12,1,11,1,13,1,6,2,7,1,6,1,7,1,30,1,12,1,17,7,16,1,9,1,16,1,10,1,13,3,7,1,13,2,8,1,7,1,30,1,7,1,13,2,11,1,9,2,16,1,11,1,16,1,17,2,16,1,28,17,11,1,9,1,13,4,6,1,13,3,7,1,13,1,28,1,30,6,6,1,29,1,30,1,6,2,13,3,8,1,9,2,8,3,9,1,13,1,9,1,13,3,9,3,11,1,12,3,17,1,10,1,11,2,9,1,10,1,11,1,10,1,8,2,13,1,9,1,13,1,9,1,8,2,11,1,9,1,11,1,9,1,10,1,9,1,24,1,9,1,24,1,10,1,8,1,10,1,11,4,12,1,17,1,12,1,17,10,12,1,17,8,12,1,17,9,12,1,17,3,12,1,17,12,12,1,17,7,12,2,11,1,17,1,10,2,11,1,12,2,17,1,12,2,17,10,12,1,17,1,11,2,17,1,10,1,17,1,11,1,12,1,17,3,12,1,17,3,12,1,17,2,11,1,17,4,12,1,17,2,12,1,17,1,12,1,17,1,10,1,12,1,17,1,9,1,10,1,17,1,10,1,11,1,12,1,10,1,9,1,12,2,11,2,12,2,9,1,17,1,9,1,10,1,12,1,17,1,8,1,11,1,17,1,10,1,9,1,10,1,9,2,8,1,11,1,9,1,11,1,10,1,9,1,10,2,12,1,11,1,10,1,12,2,9,1,11,1,17,1,10,1,12,2,11,1,17,4,12,1,17,3,12,1,17,7,11,1,17,2,11,1,17,12,12,1,17,2,12,1,17,1,11,1,17,1,12,1,17,2,12,2,17,1,11,1,12,1,9,2,12,1,17,3,11,1,17,35,12,1,17,2,12,1,17,2,9,1,8,1,10,1,9,1,8,1,12,1,9,1,17,1,11,1,8,2,13,2,7,2,30,1,8,1,9,1,17,8,12,2,9,1,11,1,12,1,9,2,11,1,9,1,8,1,9,3,10,1,12,1,13,1,12,1,9,1,12,2,10,1,17,1,9,3,10,1,11,1,10,1,24,1,10,2,9,1,8,1,12,1,17,1,24,1,10,1,24,1,9,1,8,1,13,2,8,1,24,1,13,2,9,1,8,1,13,2,8,1,6,2,13,2,7,2,6,2,7,2,6,2,7,1,6,1,13,1,6,2,13,1,29,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,29,1,30,2,6,1,29,1,7,1,30,1,7,1,6,1,30,1,6,3,7,2,6,3,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,28,1,13,1,28,1,30,1,28,1,30,1,28,2,30,3,28,2,30,1,28,3,30,2,28,1,30,3,29,1,28,1,30,1,28,2,29,1,30,2,28,1,30,1,6,1,28,1,30,2,6,1,30,1,28,1,30,1,29,1,6,1,29,1,28,1,6,1,30,1,6,1,30,1,28,1,29,1,6,2,30,1,29,1,30,1,29,1,28,1,30,1,28,1,30,3,6,1,29,1,6,1,30,5,6,1,29,1,30,1,6,1,29,1,30,1,6,1,13,4,9,2,10,1,11,1,17,6,12,1,17,2,11,1,17,1,12,1,11,2,12,2,10,1,9,1,12,1,10,1,11,1,9,1,11,1,8,1,12,1,9,1,11,1,9,1,10,2,11,1,10,1,17,1,11,1,17,1,12,2,17,44,9,1,12,1,11,3,12,1,11,1,12,1,10,1,17,1,10,1,17,2,11,1,10,1,17,1,10,1,17,2,10,1,12,1,13,1,9,1,13,2,9,1,13,2,9,2,8,1,24,1,13,2,8,1,13,1,6,1,7,1,6,2,7,1,6,1,29,1,6,3,29,1,13,1,29,1,13,1,6,2,7,1,6,2,7,1,6,1,13,1,24,1,8,1,13,1,8,1,6,1,13,1,8,1,24,1,13,1,9,1,8,3,24,2,8,4,9,1,17,1,13,1,28,1,6,1,30,1,6,1,30,1,6,2,30,1,28,1,30,3,28,1,30,5,13,1,7,1,6,2,30,2,6,1,30,2,6,3,30,4,28,2,30,3,6,2,30,2,6,1,13,1,6,1,30,3,7,1,6,1,30,5,28,2,30,5,29,1,28,2,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,4,30,1,28,1,6,1,28,4,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,4,30,1,28,3,30,1,28,5,30,2,6,1,30,2,6,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,13,1,6,1,30,1,28,2,30,1,28,2,30,6,6,2,30,1,6,1,28,1,30,6,28,1,30,1,28,1,30,1,11,1,8,1,13,2,6,1,28,1,13,1,30,1,28,1,30,1,28,2,30,5,28,2,30,1,28,3,30,1,28,1,30,1,6,1,30,2,28,1,30,3,6,1,28,2,30,2,28,3,30,1,28,1,30,2,13,2,6,1,30,3,28,1,6,1,30,2,28,2,30,1,28,9,13,1,28,1,30,3,29,1,30,3,28,1,7,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,7,30,1,29,2,30,1,28,1,6,1,8,1,13,1,6,1,28,1,30,1,28,1,30,1,28,8,30,1,28,3,30,1,28,2,30,2,28,1,6,1,30,1,13,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,1,30,3,28,1,30,5,28,6,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,8,30,1,28,1,6,2,30,2,13,1,6,2,29,1,28,2,29,2,28,1,30,1,28,39,30,1,28,9,30,1,13,5,30,1,28,8,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,9,30,1,28,1,9,1,16,1,28,1,30,1,28,13,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,7,30,1,28,2,30,1,28,1,30,2,28,10,6,1,30,1,28,1,30,1,28,6,29,1,28,2,30,1,28,1,30,1,28,2,30,1,28,5,13,1,24,1,10,1,12,1,8,1,24,2,25,1,8,1,26,2,30,2,13,1,17,24,16,1,17,3,11,1,17,1,9,1,11,1,17,1,11,1,12,1,17,1,9,1,17,1,11,1,9,1,11,2,9,1,11,1,8,1,9,2,10,1,17,1,9,1,11,2,13,1,9,2,11,1,24,1,8,1,25,1,27,1,29,1,25,2,27,3,29,2,30,3,28,1,30,1,29,1,6,1,30,1,6,1,29,1,28,9,30,2,28,3,30,1,11,2,17,1,16,1,17,1,16,1,17,8,8,1,30,3,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,7,30,2,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,2,28,2,30,1,28,1,29,1,30,6,6,1,30,1,29,1,6,1,30,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,2,30,1,13,1,6,1,30,2,13,1,28,1,6,1,29,1,6,2,7,1,6,1,13,1,6,3,7,1,13,3,8,1,9,7,8,1,9,2,8,1,9,1,8,1,9,4,10,1,8,3,9,1,17,4,8,1,13,3,6,1,30,1,28,1,30,2,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,3,28,1,29,1,6,1,29,1,30,2,29,1,30,2,6,2,30,1,7,1,6,1,28,1,13,1,30,1,6,2,29,1,6,1,30,2,13,1,6,2,13,1,6,1,29,1,6,1,30,2,6,1,29,1,6,1,30,1,7,1,13,7,7,2,6,1,13,1,28,1,13,1,7,2,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,29,1,28,1,30,1,6,1,13,1,30,1,28,1,30,1,6,1,28,1,6,1,30,1,28,1,30,3,28,3,30,1,28,1,30,4,28,1,30,8,28,1,30,2,6,1,30,10,6,4,7,3,13,1,7,2,13,4,8,1,13,1,8,2,9,2,12,1,9,1,10,1,12,1,10,1,17,7,11,1,17,1,11,3,9,1,12,1,9,3,8,1,24,1,9,1,10,1,8,1,11,1,9,2,8,1,10,2,9,1,12,1,10,1,17,2,11,1,17,1,9,1,11,1,9,3,8,1,13,3,7,1,6,1,13,4,7,2,13,1,28,1,7,1,30,1,6,1,28,1,13,1,6,6,29,1,30,2,6,1,30,1,28,2,6,1,28,1,30,3,28,1,30,1,28,1,30,3,28,1,30,1,28,7,30,1,28,3,30,2,28,1,30,2,28,6,30,2,28,4,30,1,28,5,30,3,6,1,30,1,6,3,7,1,13,5,9,1,13,2,9,1,8,1,9,1,13,1,9,2,8,1,9,2,8,1,10,1,9,12,11,1,9,1,11,1,9,1,13,1,7,1,13,1,30,1,28,1,30,1,28,4,30,1,28,5,30,3,28,2,30,2,28,3,30,1,28,1,6,1,13,1,8,1,9,1,13,1,8,1,13,2,29,1,6,2,30,2,29,1,30,9,28,3,30,1,28,16,13,1,17,1,9,1,16,1,11,1,16,2,17,1,16,1,11,2,16,1,12,2,9,1,17,1,11,1,10,1,11,1,17,1,12,1,10,1,11,1,8,1,11,1,9,3,8,2,10,1,8,1,13,1,9,5,13,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,8,1,13,3,6,1,13,1,7,1,13,1,6,1,7,1,13,1,8,1,7,1,8,1,13,1,6,1,7,1,13,1,6,1,13,3,6,1,13,1,7,1,6,1,13,2,6,2,13,1,9,1,13,4,7,1,13,1,7,1,13,4,8,1,13,3,6,1,13,2,8,1,13,1,8,1,7,1,13,2,6,1,7,1,13,3,8,1,13,1,8,1,13,3,9,1,8,1,13,1,9,1,8,1,13,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,2,28,2,30,2,28,2,30,2,28,21,11,1,17,1,11,1,9,1,8,1,7,1,13,1,28,1,13,1,6,1,30,1,28,11,6,1,7,1,9,1,7,1,9,3,11,1,16,1,17,1,8,1,28,6,13,2,6,1,28,43,8,1,6,1,28,3,13,1,17,2,11,1,13,1,29,1,30,1,6,1,30,1,13,1,6,1,29,1,11,1,16,1,17,2,6,1,28,5,30,1,28,12,}, {6,1,28,1,30,1,28,2,6,1,11,1,17,1,30,1,28,21,6,1,28,11,6,1,30,1,28,12,30,1,13,1,9,1,8,3,10,2,9,1,8,1,6,1,28,3,6,1,9,1,17,1,24,1,9,1,13,1,9,1,17,2,16,1,17,6,11,1,13,1,8,1,13,2,30,1,13,1,6,1,24,1,16,1,9,2,8,1,13,4,17,5,10,1,9,1,13,1,9,1,13,1,10,1,9,1,16,1,17,3,16,1,30,1,9,1,6,1,8,1,13,1,29,1,8,1,13,1,28,37,30,1,13,1,8,1,11,1,8,1,9,1,6,2,13,1,6,2,30,1,10,1,17,4,11,1,17,2,11,1,9,1,11,1,9,1,8,1,7,2,13,1,6,1,7,1,8,1,13,1,7,1,13,2,8,3,9,1,11,1,16,2,17,2,16,1,6,1,28,16,11,4,13,2,8,1,13,3,30,2,6,2,30,1,29,1,6,1,29,1,30,5,6,1,7,1,13,1,8,1,9,3,12,1,9,2,8,1,13,1,10,1,8,1,9,1,8,1,10,3,17,4,10,1,11,2,8,1,11,1,9,1,8,2,9,1,12,1,8,4,9,1,13,1,9,1,10,1,9,2,10,1,9,1,12,1,9,1,24,1,9,3,10,1,9,1,8,1,12,1,11,2,17,1,9,1,17,1,12,1,17,3,11,1,17,11,12,1,17,3,10,1,17,1,12,1,17,13,12,1,17,17,11,1,17,1,12,1,17,3,11,1,17,7,12,1,17,4,12,1,10,1,12,1,17,1,10,1,17,6,12,1,17,1,12,1,17,2,12,1,17,2,11,1,17,1,12,1,11,1,10,1,17,1,11,2,17,1,11,1,17,1,11,1,10,1,17,1,12,1,11,1,12,1,11,1,17,1,10,2,9,1,11,1,12,2,17,1,12,1,17,1,11,1,9,1,10,2,9,1,11,1,10,1,12,1,9,1,11,1,10,2,9,1,11,1,10,1,9,2,11,1,9,2,11,1,10,1,9,2,17,1,11,1,12,2,9,1,17,1,12,1,10,1,9,1,17,1,10,1,12,1,9,2,17,1,11,2,17,1,11,1,17,4,12,1,9,1,11,1,17,1,11,1,12,1,17,7,12,1,17,2,12,1,10,1,17,5,11,1,17,1,11,1,17,1,12,3,17,3,12,1,10,1,17,1,12,1,17,2,11,1,17,1,11,1,17,32,12,1,17,9,9,1,11,1,24,1,9,1,17,1,11,1,9,2,11,1,8,2,13,3,7,2,6,1,13,1,17,7,12,1,17,1,10,1,12,1,11,1,10,1,11,1,12,1,10,2,24,1,9,2,24,1,8,1,10,1,9,1,11,1,9,1,17,1,11,1,12,1,9,1,11,1,12,1,24,1,10,1,9,1,10,1,9,1,24,1,8,1,9,2,8,1,11,1,8,1,9,4,8,1,13,1,8,4,13,2,8,1,13,1,9,1,8,2,7,1,13,2,6,1,7,1,13,1,7,2,13,1,30,1,13,2,6,1,7,1,6,1,7,2,6,2,13,2,7,1,13,1,7,1,6,1,7,1,29,1,6,1,28,1,6,1,30,1,29,1,6,2,30,1,29,2,7,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,13,1,6,2,30,1,6,2,29,1,30,1,6,4,30,1,29,1,30,1,29,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,1,30,2,29,1,28,1,30,2,28,3,30,1,28,3,30,1,28,1,30,1,6,1,28,1,30,1,6,2,30,4,6,1,30,4,6,1,30,1,6,3,30,1,29,2,28,1,30,1,28,1,30,1,28,1,29,1,6,1,30,1,29,1,30,6,6,2,30,1,6,3,30,1,6,1,7,2,13,4,9,3,11,1,17,8,11,2,9,2,17,1,10,2,12,2,11,3,9,1,10,1,12,1,9,2,12,1,9,1,10,1,11,3,10,1,17,2,10,1,17,4,12,1,17,8,12,1,17,11,12,1,17,20,10,1,11,1,17,2,12,3,17,2,11,1,17,2,11,1,17,3,11,1,17,1,9,3,10,1,8,1,9,1,24,1,9,1,8,1,9,1,8,2,6,1,9,1,13,1,7,1,13,1,7,1,13,1,7,2,6,1,7,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,7,1,29,1,6,5,7,1,13,1,6,1,13,2,6,1,8,1,24,1,13,2,8,3,7,1,9,1,24,1,13,1,9,2,13,1,9,1,13,1,11,1,9,1,30,3,6,1,30,1,6,3,30,3,28,1,30,1,28,3,30,1,28,1,30,2,6,2,30,1,13,1,30,4,28,2,30,1,28,1,30,2,28,1,29,1,28,3,30,1,6,1,7,1,30,3,8,1,6,1,30,2,6,1,28,1,6,1,30,3,6,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,6,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,4,30,2,28,1,30,1,6,1,28,2,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,2,28,1,30,2,6,2,30,1,6,1,30,2,28,2,30,1,28,1,30,2,28,3,30,2,28,1,13,2,30,1,28,2,30,4,6,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,13,1,6,1,28,1,30,1,28,1,30,2,28,5,13,1,16,1,13,2,30,1,29,1,30,2,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,3,28,3,30,1,28,2,6,3,30,4,28,1,30,1,28,2,30,2,28,4,30,1,28,1,6,1,28,1,6,1,29,1,6,2,30,1,6,1,13,1,28,2,30,1,28,6,30,1,29,1,30,1,28,1,6,1,28,2,30,1,28,1,6,1,30,2,28,3,30,1,28,9,30,3,28,5,30,3,6,1,28,2,13,2,30,3,28,1,30,1,28,11,6,1,28,2,30,1,28,1,6,1,30,2,7,1,13,1,30,3,28,5,30,1,28,5,30,1,28,2,6,1,28,9,30,1,28,4,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,2,6,1,28,9,30,1,28,2,30,1,28,8,30,1,28,16,30,1,28,11,30,1,28,18,13,2,6,2,13,1,7,1,30,1,28,6,30,1,28,14,30,2,28,3,30,1,28,3,30,1,28,2,30,1,17,1,28,5,30,1,28,4,30,1,28,1,6,1,28,1,30,1,28,4,30,1,28,6,30,1,28,8,30,1,28,15,30,2,28,2,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,7,29,1,10,2,12,1,24,3,25,1,26,1,25,1,6,2,8,1,12,1,17,24,16,1,17,4,12,1,11,1,9,1,12,2,9,1,10,1,9,1,11,1,17,1,9,1,10,1,13,1,9,3,11,1,9,2,12,1,11,1,9,1,16,1,9,1,13,2,11,1,10,1,24,1,27,1,29,1,27,2,8,1,27,1,29,2,30,3,28,1,30,1,28,2,29,2,28,1,30,4,28,7,6,1,28,5,16,1,11,1,17,9,11,1,17,2,11,1,13,1,30,3,28,3,30,1,28,7,30,1,28,17,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,29,1,30,1,13,1,29,2,13,1,29,1,7,1,6,1,13,1,6,1,7,1,13,1,7,1,13,1,30,1,7,1,13,1,30,1,7,1,6,4,7,1,29,1,6,3,30,2,6,1,13,2,8,1,7,1,13,1,8,1,6,1,9,1,6,1,13,1,10,1,9,5,8,1,9,1,8,1,9,2,13,1,8,1,9,1,13,1,9,1,8,1,9,1,10,1,17,3,8,1,9,1,13,1,7,1,13,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,29,1,30,1,6,1,29,2,30,1,6,1,30,1,6,2,30,1,29,1,28,1,6,1,29,1,30,1,6,2,29,1,13,1,7,1,30,2,28,1,30,1,6,1,7,1,30,1,6,4,30,4,29,1,6,1,13,1,7,1,13,3,7,1,6,3,13,1,7,1,30,1,13,1,6,1,7,1,6,2,13,2,30,2,13,1,28,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,13,2,6,1,30,1,28,1,6,1,30,1,28,1,30,2,6,1,28,1,6,1,28,1,30,1,29,1,28,1,30,4,28,1,30,4,28,1,30,2,28,2,30,1,28,2,30,4,28,1,30,1,28,1,30,1,28,1,30,1,6,1,7,1,6,2,13,1,6,1,13,2,8,1,13,2,8,1,13,1,9,1,8,2,9,2,12,1,9,2,17,1,11,1,10,1,17,7,11,1,12,1,8,1,11,1,10,1,12,1,9,6,13,1,11,1,8,1,13,1,8,2,9,2,8,1,9,3,11,1,9,1,10,1,17,1,8,1,16,1,10,1,13,1,9,1,13,1,9,1,13,5,7,1,6,1,8,1,13,2,6,3,30,1,6,1,28,1,6,5,29,1,30,4,6,1,28,4,29,1,28,1,30,3,29,1,28,2,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,6,30,2,28,15,30,1,28,6,30,2,29,2,13,1,6,2,29,1,30,1,13,5,6,2,13,2,9,1,7,1,9,1,8,1,9,6,8,1,9,4,11,1,9,5,8,1,10,1,9,4,13,1,29,1,28,3,30,4,28,6,30,3,28,1,30,6,6,2,8,1,10,1,8,1,11,2,7,1,6,1,13,1,6,1,28,1,30,2,28,1,30,2,28,1,30,3,28,1,30,1,28,17,30,1,28,2,30,1,13,1,16,3,9,1,17,1,11,1,16,1,12,1,16,1,12,1,9,1,16,2,17,1,12,1,11,2,12,1,17,1,12,1,11,1,16,1,11,1,9,1,11,2,9,1,11,2,8,1,10,1,11,2,9,3,8,2,6,1,13,2,8,3,6,1,13,4,8,3,13,1,7,1,13,2,29,1,7,1,13,1,6,1,13,1,6,1,13,6,6,1,13,12,8,1,13,2,9,1,13,2,6,1,13,1,7,1,13,1,6,1,13,10,8,2,7,1,13,3,9,1,13,2,8,1,13,8,9,1,13,2,30,1,28,5,30,2,28,1,30,2,28,7,30,1,28,1,30,1,28,2,30,1,28,20,11,1,17,1,16,1,9,1,8,1,13,1,7,1,30,1,7,1,6,1,28,11,13,1,30,2,6,1,13,1,11,1,8,2,11,2,17,1,13,1,28,6,30,1,13,1,6,1,28,43,6,1,29,1,28,3,9,1,17,2,10,1,13,1,7,1,30,2,6,1,30,2,13,2,10,1,17,2,28,7,29,1,30,1,28,10,}, {28,1,29,1,28,1,6,1,28,1,30,1,10,1,17,1,28,22,30,1,13,1,28,21,30,1,28,3,13,3,8,1,11,1,9,1,12,1,8,2,6,1,30,1,28,1,30,2,9,2,13,2,8,1,24,1,10,1,11,1,10,1,17,1,16,1,17,4,11,1,9,1,7,1,13,1,7,1,30,1,13,1,7,1,9,1,17,2,8,1,13,1,8,1,9,1,7,1,9,1,17,6,9,2,8,1,9,3,11,2,17,3,13,1,8,1,7,1,28,1,6,1,7,2,13,1,28,37,29,1,13,1,8,1,10,1,11,1,9,1,6,1,13,2,6,1,7,1,6,1,11,1,17,6,16,2,9,2,13,2,6,3,30,1,9,1,7,1,6,1,13,1,29,1,13,1,8,1,9,3,17,3,16,1,17,1,16,1,6,1,28,16,9,1,11,1,17,1,9,2,13,1,8,1,13,3,6,2,30,5,29,1,30,1,29,2,6,1,30,1,6,1,7,1,6,1,8,2,9,1,10,1,12,1,9,1,10,1,9,1,10,1,9,1,17,1,10,1,12,1,9,1,12,2,17,4,11,3,9,3,8,1,13,1,8,2,13,1,9,1,8,2,10,1,9,1,11,1,13,1,24,1,9,2,8,2,11,1,12,1,9,1,10,1,9,3,11,1,17,1,9,1,11,1,17,1,12,1,17,1,12,2,17,17,12,1,17,4,12,1,17,13,12,1,17,4,12,1,17,9,11,1,17,5,12,1,11,1,17,1,11,1,17,13,12,1,17,2,12,1,17,3,11,1,17,2,12,1,17,1,11,1,12,1,17,1,12,1,17,2,10,1,17,1,12,1,17,1,12,1,17,1,12,5,17,1,12,1,11,1,17,1,11,2,12,2,17,1,10,1,9,1,12,1,11,1,12,3,9,1,17,1,11,1,17,1,9,1,17,1,10,1,9,2,17,1,11,1,12,2,17,1,9,2,10,1,9,1,11,1,9,1,12,1,10,1,11,1,12,1,11,2,10,2,12,1,10,1,12,1,17,1,11,1,9,1,11,2,17,1,10,1,11,2,17,1,11,1,17,1,12,1,17,4,12,1,17,1,10,1,17,10,12,1,17,9,11,1,17,8,11,1,12,1,17,1,12,1,17,45,12,1,10,1,9,1,10,2,12,1,10,1,9,1,13,1,24,1,13,2,6,1,13,1,7,1,6,3,13,1,17,9,11,1,9,1,12,1,11,2,24,1,9,2,10,1,12,1,8,1,9,1,12,1,9,3,11,1,10,1,24,1,12,1,9,3,10,1,13,1,11,1,10,1,9,1,8,1,10,1,9,1,8,1,10,2,9,2,8,1,9,1,8,1,9,1,13,1,8,4,13,1,8,2,13,1,8,1,13,3,6,1,13,2,6,2,7,1,13,1,30,1,7,1,29,1,7,1,6,1,13,1,7,1,13,1,29,1,13,1,30,1,7,1,13,1,30,1,7,1,30,1,29,2,6,2,13,1,6,1,30,1,6,1,30,1,29,1,30,1,7,1,6,1,13,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,7,29,1,6,1,29,1,30,1,28,1,7,1,30,1,28,2,30,1,28,1,30,2,28,6,30,3,28,4,30,1,28,2,30,1,28,5,7,1,29,2,30,1,28,1,30,1,28,1,30,1,6,2,29,1,7,1,30,1,29,1,28,1,6,1,30,2,13,1,30,1,6,1,30,3,6,2,30,2,28,1,30,2,29,1,30,1,6,2,30,2,6,2,29,1,6,1,30,1,6,1,7,2,13,1,6,1,13,1,7,1,13,1,8,2,9,1,11,1,17,9,12,2,17,2,12,1,11,1,17,1,12,1,11,1,12,1,17,2,11,1,10,1,11,1,10,1,12,2,10,1,12,1,10,1,12,1,11,1,17,1,10,1,17,28,11,1,17,19,12,2,9,1,11,1,12,1,11,1,17,3,12,1,11,1,17,2,11,1,12,1,9,1,17,1,11,1,9,1,11,1,10,1,13,1,9,1,24,1,13,1,11,1,13,3,8,1,13,1,8,1,13,1,7,1,13,1,7,1,13,2,6,1,13,1,6,1,30,1,7,1,6,1,13,1,30,1,6,1,7,1,6,1,30,1,6,2,30,1,6,1,13,1,6,1,13,2,6,1,8,2,13,1,8,1,9,1,13,1,8,1,24,2,8,1,24,1,9,2,8,1,13,1,8,1,9,1,13,1,17,1,9,1,29,1,30,2,6,1,29,1,30,1,13,1,29,1,30,1,6,2,28,1,30,1,28,1,30,1,29,2,30,3,6,1,30,1,29,1,30,2,6,1,30,1,28,1,13,1,7,1,6,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,29,1,30,3,28,1,13,1,30,1,6,1,30,1,28,1,6,5,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,8,30,1,28,1,30,1,28,3,30,2,28,7,30,1,28,3,6,1,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,6,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,2,6,1,30,2,6,1,30,2,28,1,30,3,28,3,30,1,28,5,9,2,28,1,30,5,28,1,30,1,28,1,30,3,28,1,30,1,28,1,13,1,30,2,28,3,30,2,28,1,30,1,28,1,30,1,9,1,8,1,11,1,13,2,28,1,30,2,28,1,30,1,28,1,6,1,30,5,28,1,30,2,6,1,28,1,30,1,28,2,30,3,28,2,30,1,28,1,30,3,28,5,30,2,28,2,30,2,7,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,5,30,2,28,1,29,1,6,1,29,1,6,1,30,2,6,1,28,1,30,5,28,1,6,1,28,3,6,1,28,3,30,1,28,2,30,1,28,1,30,1,28,3,30,2,28,1,30,2,6,2,29,1,6,1,13,1,6,1,13,1,30,3,28,1,30,1,28,9,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,6,1,8,1,6,1,28,1,30,1,28,1,29,1,28,1,30,1,28,5,30,1,28,4,30,1,6,1,28,1,30,1,28,3,30,1,28,2,29,1,30,1,28,1,30,2,28,2,30,1,28,2,30,2,28,1,30,1,28,1,6,2,28,2,30,1,28,4,30,1,28,3,30,1,28,2,30,5,28,2,30,5,28,1,30,2,28,10,30,2,28,3,30,1,28,20,30,1,28,8,30,2,8,1,9,1,6,1,13,2,6,2,28,5,30,1,28,1,30,1,28,6,30,1,28,3,30,1,28,6,30,1,28,4,30,1,28,3,13,1,11,1,28,12,30,1,28,5,30,1,28,4,30,1,28,1,6,2,28,12,30,1,28,17,30,1,28,7,30,1,28,2,30,1,28,6,30,1,28,2,6,1,17,1,12,1,24,1,8,1,24,2,26,1,27,1,8,2,24,1,17,28,11,2,17,1,10,1,11,1,10,1,11,1,10,2,9,1,17,1,11,1,9,1,10,1,11,1,9,1,11,1,9,1,8,1,12,1,11,1,9,1,17,1,10,1,9,7,24,1,25,1,27,1,29,1,25,2,26,1,27,2,30,1,27,1,28,1,29,2,28,1,30,1,7,1,29,2,6,1,29,1,30,1,28,8,29,1,28,5,10,2,17,1,16,1,17,10,11,1,8,1,13,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,2,30,1,28,5,30,1,28,7,30,1,28,3,30,4,29,2,30,2,6,1,30,1,29,2,6,1,13,3,6,1,13,1,30,1,6,4,30,1,29,1,6,1,29,1,6,1,30,1,7,2,6,2,7,1,6,1,30,1,6,1,30,1,13,6,9,1,8,2,9,1,13,1,8,2,9,1,13,1,9,2,8,1,9,3,8,2,9,1,13,1,9,2,10,1,17,2,9,3,13,3,6,1,30,1,6,1,28,1,30,1,28,3,30,1,28,1,30,4,28,1,30,1,28,2,6,1,30,2,6,1,30,1,6,1,7,1,6,2,30,1,29,1,6,1,30,1,29,1,30,1,6,1,30,1,7,1,30,1,6,1,30,1,6,2,13,1,6,4,30,1,29,2,30,1,29,1,7,2,13,3,8,1,13,1,7,1,13,1,6,1,7,1,6,2,13,1,29,1,7,1,30,1,7,1,28,1,30,1,6,3,29,1,28,1,30,1,6,1,30,2,6,1,28,1,29,1,28,1,30,1,13,1,7,1,29,1,6,1,30,4,6,1,30,2,28,2,30,3,28,1,30,1,28,1,30,3,28,2,30,2,6,2,30,1,28,1,30,6,6,1,28,1,30,1,28,2,30,2,6,1,30,1,6,2,13,1,7,1,13,1,6,1,13,2,8,1,7,1,8,1,13,3,9,1,11,1,24,1,9,1,11,1,10,1,17,1,11,1,10,1,17,6,9,1,11,1,13,1,9,5,8,2,16,1,8,4,13,1,9,1,8,1,9,5,11,2,17,1,12,1,10,1,12,1,9,1,11,1,10,1,8,2,13,1,6,1,8,1,7,1,6,2,13,1,7,1,6,1,29,1,7,1,6,2,7,1,6,2,7,1,6,1,30,2,6,1,30,1,6,1,30,3,29,1,28,1,30,1,29,1,6,2,28,1,6,1,30,1,28,1,29,1,30,1,28,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,13,30,1,28,4,6,1,30,1,28,1,29,1,7,1,30,1,6,2,7,1,6,2,13,1,6,1,13,1,7,1,13,1,9,1,8,1,13,2,8,2,13,1,11,1,8,1,13,1,8,1,11,1,9,4,8,1,11,1,9,1,10,1,13,1,11,1,9,1,11,1,9,1,10,1,9,1,16,1,9,1,13,2,29,1,28,1,29,1,28,4,30,1,28,3,30,1,28,3,30,2,28,2,29,1,30,3,6,1,29,1,8,1,9,3,30,1,6,3,30,1,6,1,29,2,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,3,28,4,30,1,28,10,30,1,13,1,16,1,9,1,10,1,11,1,16,1,11,1,16,4,12,2,9,1,16,1,11,1,16,1,11,1,17,1,10,1,11,1,17,1,11,1,10,1,9,1,11,1,9,4,11,1,8,1,9,4,8,1,13,1,8,3,13,1,7,1,6,1,13,4,8,1,13,2,11,1,8,1,13,1,8,1,13,4,7,1,13,2,6,1,13,5,6,1,13,4,8,1,13,2,6,1,13,4,8,1,13,3,8,1,13,1,6,1,13,2,6,1,13,1,7,1,13,4,8,1,13,1,8,1,13,1,8,1,13,3,6,1,13,1,9,1,13,2,9,1,13,1,8,2,13,4,9,1,8,2,13,2,10,1,7,1,28,6,30,1,28,4,30,2,28,6,30,2,28,1,30,1,28,20,16,1,17,1,16,1,9,2,6,3,13,1,30,1,28,9,30,1,29,1,30,1,6,1,30,1,6,1,8,2,9,1,8,1,11,1,16,2,6,1,28,2,30,1,28,3,6,1,9,1,6,1,28,43,30,1,29,1,30,1,28,2,8,1,17,2,9,1,29,1,7,1,6,1,30,1,6,3,13,1,9,1,17,3,28,6,30,2,28,11,}, {28,1,7,1,28,1,30,1,28,1,6,1,12,1,8,1,30,1,28,27,29,1,28,17,30,1,29,1,28,1,8,1,13,1,6,2,13,1,12,1,11,2,13,1,7,1,28,1,30,2,29,1,9,1,10,2,13,1,8,1,9,1,12,1,17,1,11,1,17,6,9,1,8,2,6,2,13,1,7,1,13,2,17,2,9,2,13,2,9,1,10,1,17,5,12,1,9,1,10,1,9,2,11,4,17,2,16,1,8,1,13,1,7,2,6,1,13,1,6,1,13,1,28,38,8,2,9,1,12,1,9,1,6,1,13,2,7,1,30,1,28,1,11,1,17,7,11,1,9,3,6,1,13,3,8,1,7,1,13,1,29,2,7,1,8,1,9,1,13,1,11,1,9,1,17,1,16,1,17,4,30,1,28,16,9,1,11,1,17,1,9,2,8,1,13,4,7,1,30,1,6,2,13,1,29,2,30,1,29,1,30,2,29,1,6,2,30,1,13,2,8,1,9,1,10,1,11,1,12,1,11,1,12,1,9,1,10,1,11,1,10,1,11,1,9,1,11,1,12,1,17,3,11,1,17,1,10,1,9,1,11,1,9,1,13,1,10,1,9,2,8,1,13,1,9,3,8,2,9,1,12,1,9,1,8,1,9,1,11,1,10,1,11,1,9,1,24,1,9,1,11,1,9,2,10,1,9,1,17,1,10,1,11,1,10,1,17,3,10,1,17,2,12,1,17,5,12,1,17,5,10,1,17,1,12,1,17,2,12,1,17,2,12,1,17,3,12,1,17,15,12,1,17,1,12,1,17,6,11,1,12,1,9,1,17,1,12,1,17,17,12,1,17,5,12,1,17,1,12,1,17,1,11,1,12,1,17,1,11,1,17,1,12,1,17,1,12,3,17,1,12,3,17,1,9,1,10,1,17,1,12,1,11,1,10,1,9,1,12,1,10,1,12,1,17,1,9,1,12,1,9,1,8,1,11,1,17,1,11,1,10,1,17,1,12,1,10,1,11,1,9,1,17,2,12,2,17,1,11,1,9,1,12,1,9,1,10,1,17,1,9,1,11,1,10,1,9,1,12,1,17,1,12,1,9,1,10,2,9,1,10,1,9,2,11,2,17,2,11,1,12,1,17,1,12,1,9,1,17,2,12,4,11,1,17,3,10,1,17,1,11,1,17,7,12,1,17,5,11,1,17,3,12,6,17,5,11,1,12,3,17,47,11,4,8,1,24,2,8,1,13,1,7,1,13,2,7,1,6,1,7,1,6,1,7,2,11,1,17,5,12,1,17,1,12,1,17,2,9,1,10,1,9,1,10,1,11,1,10,1,12,1,11,1,9,1,10,1,8,1,12,1,9,1,12,1,9,1,10,1,12,1,11,1,10,1,12,1,10,1,11,1,9,2,10,2,8,1,10,1,9,1,12,1,24,1,9,6,8,1,13,2,8,4,13,3,8,2,13,2,7,1,6,1,13,1,6,1,7,1,13,1,29,1,6,2,13,1,6,1,13,2,6,1,30,1,7,2,13,1,30,1,13,2,6,1,30,1,6,1,30,1,13,1,6,1,30,1,29,1,6,2,29,1,7,1,6,2,30,1,24,1,29,1,7,1,6,1,30,3,6,3,29,1,6,1,29,1,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,3,6,2,30,1,29,1,28,4,30,1,28,1,30,1,28,1,30,2,29,1,30,2,28,3,30,2,6,1,28,4,30,1,28,2,30,1,6,1,30,2,28,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,29,3,7,1,30,1,6,2,30,2,6,2,30,2,6,2,30,2,6,1,29,2,28,1,6,2,30,1,6,2,13,1,8,1,13,2,6,1,13,3,9,2,10,1,12,1,11,1,17,9,11,1,12,1,11,4,10,1,11,1,12,1,17,1,11,1,17,1,9,1,12,3,17,1,10,1,9,2,17,1,11,1,10,2,17,1,9,1,12,1,17,2,11,2,12,1,17,7,11,1,17,2,12,1,17,8,12,1,17,19,12,1,11,1,10,1,11,3,10,1,17,1,11,1,17,3,10,1,17,1,12,1,17,1,12,1,11,1,10,1,11,2,24,1,7,1,13,1,12,1,8,1,13,2,24,1,8,1,13,3,9,1,13,3,8,1,13,1,6,2,7,2,6,1,29,1,6,1,29,1,6,1,30,1,6,3,29,1,7,1,30,1,6,1,30,1,13,5,8,1,9,1,8,1,9,1,8,1,24,1,8,2,9,1,8,1,24,1,10,2,8,3,12,1,13,1,6,1,28,1,6,1,30,6,28,1,6,1,28,1,30,2,28,1,30,2,6,1,28,2,30,1,6,1,30,3,28,1,30,2,28,2,30,3,28,3,30,6,29,1,30,1,6,1,9,1,29,1,6,2,28,4,30,4,28,1,30,1,28,6,30,2,28,5,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,7,30,1,28,1,13,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,6,1,13,1,28,3,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,2,28,1,9,1,28,5,6,1,30,1,6,2,30,2,28,4,30,1,6,1,29,1,28,3,30,1,28,2,30,1,28,1,6,1,30,1,11,1,9,2,13,1,6,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,2,28,3,30,2,28,1,30,2,6,1,28,2,30,1,28,1,30,3,6,1,28,6,6,2,28,1,30,4,6,1,28,2,30,1,13,2,30,3,28,1,30,1,28,2,29,1,28,1,30,3,28,1,30,3,28,1,30,1,29,1,28,2,30,1,28,2,30,1,28,7,30,1,28,1,30,1,28,1,30,3,28,1,30,1,13,1,30,1,6,1,8,1,13,2,28,6,29,1,28,2,30,2,28,1,30,1,28,2,30,3,6,1,30,3,6,1,13,1,7,1,30,7,28,1,30,1,28,1,6,1,28,3,30,2,28,1,30,5,28,1,30,1,28,4,30,3,28,2,30,1,28,1,30,2,28,2,6,1,30,3,28,1,30,1,28,1,13,1,30,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,11,29,1,28,2,30,2,28,1,30,1,28,7,30,1,28,12,29,1,28,4,30,1,28,14,30,1,28,3,13,1,8,1,13,3,6,1,30,1,28,2,6,1,28,13,30,2,28,7,6,1,30,1,28,9,16,1,28,4,30,2,28,5,30,1,28,6,30,1,28,6,30,1,28,1,30,2,28,21,30,2,28,10,30,1,28,2,30,2,28,9,30,2,13,1,10,1,12,1,8,1,24,1,8,1,27,1,29,1,8,1,12,1,9,1,24,1,17,31,11,1,17,1,10,2,12,2,11,1,9,2,12,1,10,1,9,2,11,1,9,2,10,1,11,1,9,1,11,3,17,1,13,1,9,1,8,1,11,1,12,1,8,1,25,1,27,3,25,2,27,1,29,2,27,1,28,1,6,1,30,1,28,1,29,1,7,1,6,1,30,1,29,2,28,14,30,1,9,1,11,1,17,13,12,1,6,1,28,1,30,2,28,1,30,2,28,3,30,1,28,3,30,1,28,27,30,1,28,2,30,5,6,3,13,1,6,2,7,1,13,1,6,1,13,1,6,2,30,2,7,1,30,1,6,1,28,1,6,1,29,1,30,1,7,1,29,1,6,2,29,1,7,2,13,4,9,1,13,1,9,1,13,1,9,1,8,1,10,1,13,1,8,1,11,1,9,2,11,1,13,1,8,1,9,1,8,2,9,2,8,3,9,1,17,3,9,1,8,1,9,1,13,2,7,1,28,1,30,1,28,3,30,1,28,1,30,7,29,1,28,1,30,4,29,1,30,1,29,3,6,4,30,3,6,1,30,1,29,1,7,1,28,2,29,1,13,1,7,2,13,1,6,1,30,1,29,1,6,1,30,3,6,1,13,3,8,1,13,1,30,1,13,2,6,1,13,1,6,1,13,1,30,1,6,2,30,1,13,1,29,1,6,4,30,1,6,1,30,1,28,1,30,2,28,1,6,1,28,2,29,1,7,1,6,1,13,1,6,1,30,2,29,1,30,1,28,2,30,2,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,3,28,1,30,2,28,5,6,1,30,1,29,1,30,4,6,1,30,2,13,1,29,1,6,1,13,6,8,1,9,1,8,1,9,1,10,1,9,2,11,1,9,1,11,1,17,4,10,1,9,1,10,1,11,1,9,5,13,1,9,2,8,5,9,1,8,2,13,1,9,4,10,1,9,1,17,1,12,1,17,1,11,2,9,1,12,1,8,1,9,1,8,1,9,1,7,1,13,1,29,1,13,1,7,1,6,3,30,1,13,1,29,1,6,1,7,2,13,1,6,1,30,7,6,1,29,1,7,1,6,1,28,1,6,1,30,1,6,1,30,8,28,1,30,1,6,1,30,1,28,6,30,1,28,7,30,1,28,15,30,1,28,9,6,1,28,2,6,1,29,1,6,1,30,1,6,2,7,1,6,1,13,1,7,1,13,2,9,1,13,1,8,3,13,1,9,1,8,1,9,1,8,1,11,1,9,1,8,1,9,1,11,1,8,1,10,1,9,2,11,1,9,1,10,1,9,7,8,1,13,1,6,1,7,2,13,1,6,1,29,1,28,6,30,2,28,1,30,6,6,1,28,1,13,3,9,1,8,1,13,2,6,2,30,2,6,1,30,5,28,4,30,1,28,3,30,2,28,10,30,1,28,3,30,1,28,1,13,1,16,1,11,1,9,1,16,2,11,1,12,1,17,1,16,1,11,1,16,1,11,1,12,1,17,1,16,2,17,1,16,1,11,1,16,1,11,1,9,1,17,1,11,1,9,1,11,1,12,1,11,3,9,1,11,1,9,1,16,1,8,1,10,1,9,1,13,2,8,1,9,1,13,2,9,1,13,1,8,3,9,1,13,3,6,1,8,1,13,1,6,1,13,1,7,1,13,2,6,1,13,6,8,1,6,2,13,3,8,1,6,1,13,6,8,2,13,1,6,1,13,2,7,2,13,4,8,1,13,15,8,1,6,1,13,3,8,3,9,1,13,3,7,1,6,1,28,3,30,1,28,1,30,1,28,2,30,1,29,1,30,1,28,1,30,2,28,7,30,1,28,3,30,1,28,18,16,1,17,1,10,1,8,2,30,4,28,12,30,1,28,1,30,2,8,1,11,1,8,2,16,2,11,1,9,1,28,6,29,1,13,1,30,2,28,42,8,1,28,4,9,1,17,2,9,1,6,4,13,1,30,1,6,1,7,1,13,1,16,1,17,2,28,6,30,3,28,10,}, {30,1,28,5,11,1,17,1,13,1,28,45,29,1,28,4,29,2,13,1,17,1,10,1,9,1,8,1,7,1,6,1,30,1,28,1,7,1,13,1,10,1,11,1,13,1,10,1,8,1,12,1,9,1,16,2,17,5,11,1,13,1,8,1,13,2,7,1,13,1,6,1,13,1,17,2,8,3,13,1,9,1,13,1,12,1,17,3,12,1,17,1,8,2,11,1,9,2,12,1,9,1,11,1,17,3,13,1,6,1,29,1,7,1,6,4,28,36,30,1,29,1,8,1,24,1,12,1,10,1,8,1,6,2,7,1,6,2,29,1,8,1,17,4,16,1,17,2,11,1,9,1,11,1,13,1,9,1,7,1,29,1,13,1,6,2,13,1,7,1,6,2,13,1,9,3,10,1,11,2,17,1,16,1,17,2,30,1,28,16,9,1,11,1,9,3,13,2,6,1,8,2,13,1,29,1,30,1,6,1,29,1,30,2,28,1,30,1,29,1,30,1,6,1,7,1,30,1,7,1,13,2,8,2,17,1,11,3,12,2,17,1,10,1,12,2,9,1,17,1,12,2,17,3,12,1,11,2,9,4,8,1,13,3,8,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,9,1,10,1,24,3,10,4,8,1,10,1,9,1,10,1,11,1,10,1,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,4,12,1,17,5,12,1,17,5,8,1,17,3,12,1,17,16,12,1,17,11,12,1,17,2,11,1,12,1,17,1,12,1,17,10,11,1,12,3,17,1,12,1,17,6,9,1,17,2,12,1,11,1,17,1,10,1,17,4,12,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,12,1,11,1,12,1,17,2,11,1,12,1,17,1,10,1,12,3,17,2,12,1,11,1,12,1,9,1,17,2,12,1,17,2,12,3,17,1,10,2,12,1,11,1,17,1,11,1,10,1,12,1,9,1,11,3,10,2,12,1,17,1,12,1,9,1,10,1,17,1,11,1,12,2,8,1,9,1,17,1,12,2,17,1,11,1,12,1,17,3,12,1,11,2,17,2,12,1,17,1,9,1,17,2,12,1,17,1,11,1,17,7,12,1,17,9,12,1,17,1,12,1,17,6,12,1,17,1,12,1,17,1,9,1,12,1,17,42,12,1,11,1,12,4,24,1,8,1,9,1,13,1,8,1,13,1,7,3,13,1,6,3,13,1,12,1,17,9,10,1,11,1,17,1,11,1,12,1,10,1,12,1,9,1,17,1,11,2,9,3,11,1,10,1,11,1,9,1,17,1,10,1,12,2,9,1,10,2,24,1,9,1,12,1,9,1,10,1,9,1,11,3,8,1,24,1,9,1,8,1,9,1,8,4,13,2,8,1,13,5,6,1,13,2,6,1,13,1,6,2,7,1,6,1,29,1,7,1,6,2,29,1,30,1,7,1,6,5,30,1,6,1,7,1,13,1,28,1,6,2,29,2,6,1,30,1,6,3,30,1,13,1,8,1,29,1,6,1,7,1,30,1,6,2,29,2,6,2,30,1,28,1,6,1,29,1,6,1,30,1,28,1,30,4,28,1,30,3,28,1,30,1,28,4,29,2,28,2,30,2,6,1,28,4,30,1,28,2,30,1,28,7,30,1,28,1,6,1,30,1,28,1,6,1,30,1,29,1,30,6,29,3,6,1,29,3,6,2,30,1,6,1,30,1,29,1,30,5,28,1,6,1,30,1,29,1,6,1,30,3,29,1,7,1,6,3,13,2,7,1,6,1,13,1,8,1,9,2,8,1,9,1,17,1,12,1,17,7,12,1,10,1,17,2,11,1,12,1,10,1,11,2,17,1,12,2,17,1,10,1,12,1,11,1,17,2,12,1,11,1,9,1,12,1,17,1,9,1,12,1,17,4,12,1,17,9,12,1,17,10,12,1,17,21,10,1,9,1,11,1,9,1,17,3,12,1,11,1,12,1,11,3,17,1,11,1,10,1,17,1,12,1,9,1,11,2,10,1,12,1,11,1,24,2,8,2,9,1,8,1,7,1,13,1,8,2,7,1,6,1,29,1,13,1,7,3,13,1,6,1,7,1,6,4,30,1,6,3,13,1,6,1,13,1,6,1,7,1,13,2,7,1,13,4,24,1,13,1,8,2,13,1,24,1,8,2,9,1,24,1,8,1,9,1,8,1,9,1,11,1,7,1,30,1,28,1,6,1,30,2,6,1,30,4,28,1,30,3,28,1,6,1,29,1,30,1,29,1,28,1,30,2,28,1,30,1,6,1,28,1,30,3,6,1,30,1,6,1,30,1,28,2,30,1,6,1,30,1,28,1,30,5,8,1,6,1,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,6,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,1,6,2,28,1,30,1,28,3,6,1,28,2,30,3,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,13,2,28,1,30,2,28,12,30,1,28,1,9,1,30,1,28,3,30,3,28,1,30,4,28,2,30,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,13,2,9,1,13,3,30,1,28,1,30,2,28,2,30,1,28,5,30,4,28,4,30,2,28,1,30,5,28,2,30,2,28,2,30,1,28,2,30,1,28,3,13,1,28,1,30,3,28,1,30,2,28,3,13,1,29,1,28,1,30,2,28,3,30,1,28,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,2,30,7,6,1,28,1,30,1,29,1,6,1,9,1,13,1,7,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,7,6,1,30,3,7,1,13,1,6,1,30,1,28,2,30,1,28,1,30,1,28,3,30,5,28,3,6,2,30,1,28,4,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,4,28,1,29,2,28,2,30,1,28,1,30,2,28,6,30,2,28,5,30,1,28,6,30,1,28,34,30,1,28,5,30,1,28,2,13,2,9,1,6,1,13,2,29,1,28,2,30,1,28,1,6,1,28,4,30,1,28,1,30,1,28,16,30,1,28,1,30,1,29,1,30,1,28,4,9,1,28,3,30,1,28,2,30,2,28,11,30,1,28,2,30,1,6,1,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,29,30,1,28,3,30,1,28,7,30,1,28,1,6,1,12,2,9,1,24,1,9,1,24,2,12,2,9,1,17,29,12,1,17,2,11,1,9,2,17,1,10,1,11,1,9,1,11,1,9,2,11,1,8,1,10,1,9,2,10,1,11,5,12,1,9,1,13,1,9,1,8,2,12,1,24,1,27,1,29,1,27,1,25,2,27,1,29,1,26,1,28,1,30,1,27,1,29,2,28,1,6,1,7,1,30,1,29,2,6,1,28,14,30,1,9,1,17,13,11,1,17,1,9,1,6,1,28,1,30,1,28,1,30,1,28,3,30,2,28,29,30,3,28,2,29,1,30,1,28,1,30,1,7,2,6,3,30,1,7,2,13,1,6,2,29,1,30,3,6,1,28,1,30,1,6,2,29,1,6,1,28,1,6,3,30,1,6,2,13,5,9,1,13,1,8,1,13,2,9,2,8,1,11,1,9,1,8,1,9,1,11,1,9,1,8,1,9,2,8,2,9,2,13,2,17,4,11,1,9,2,13,2,6,1,30,1,28,1,29,1,30,1,28,2,30,1,28,1,30,5,28,1,29,1,30,5,6,5,28,1,6,1,29,2,30,3,6,1,7,1,6,2,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,6,1,28,2,30,1,13,6,7,1,13,1,6,1,13,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,13,1,30,2,6,2,30,6,28,2,29,1,28,1,30,1,28,2,6,1,13,1,7,1,6,1,28,1,29,1,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,3,29,1,28,1,30,8,28,1,30,3,6,1,30,2,28,1,6,1,30,1,6,1,30,2,29,1,30,3,6,3,7,1,13,3,7,1,9,1,13,3,9,1,8,1,9,2,10,1,11,3,17,4,16,1,11,1,16,1,17,1,9,1,11,1,9,3,8,1,9,2,13,1,9,1,13,2,9,1,8,4,9,4,12,1,10,1,11,1,17,1,12,1,17,1,11,1,16,1,12,1,11,1,9,2,13,1,9,1,13,1,8,1,6,1,7,1,13,1,29,1,13,1,6,3,13,1,6,2,30,1,7,1,6,1,29,1,30,5,28,1,30,1,29,1,28,2,6,1,30,1,6,1,29,1,30,2,6,1,28,1,30,1,6,1,29,1,28,1,30,3,28,5,30,1,28,4,30,1,28,12,30,1,28,15,30,1,28,2,30,1,29,1,28,1,29,1,30,2,13,1,30,1,6,1,29,1,13,3,6,1,8,1,13,1,7,1,8,3,13,1,9,3,13,1,8,1,9,1,11,1,9,2,11,1,9,3,10,1,11,1,9,1,10,1,11,2,9,9,13,4,6,1,30,3,28,5,30,1,28,1,30,1,28,1,30,3,13,6,6,2,30,1,6,1,30,9,28,3,30,2,28,1,30,1,28,3,30,1,28,7,30,1,28,5,13,1,11,5,16,2,9,1,11,2,17,1,16,4,9,1,12,1,16,2,11,1,17,1,11,2,16,1,11,1,17,1,9,2,11,1,9,1,10,1,9,3,10,1,8,1,9,2,8,1,13,1,8,3,13,1,9,1,13,1,9,2,8,1,9,2,11,2,8,3,13,2,8,1,13,1,8,3,13,5,8,2,13,1,8,1,13,2,8,1,9,1,8,3,13,2,6,1,8,1,13,2,7,1,13,5,6,1,13,13,8,1,13,4,8,1,13,3,8,1,13,1,8,2,9,1,13,1,8,1,9,2,30,1,28,6,30,1,28,4,6,1,30,1,28,2,30,2,28,4,30,1,28,21,14,1,17,1,8,1,13,1,8,1,29,1,6,1,28,1,6,1,28,11,6,1,29,1,28,2,6,1,13,1,9,2,8,1,16,1,17,2,13,1,28,2,30,1,28,3,6,1,13,2,28,43,13,1,30,1,28,3,9,1,17,2,11,1,13,1,6,1,13,1,6,3,29,1,13,1,9,1,11,1,17,2,28,5,30,1,13,1,28,12,}, {30,1,28,1,30,1,28,3,17,2,6,1,28,24,29,2,28,22,29,1,28,2,29,2,8,1,12,1,8,1,9,1,30,1,29,1,7,1,28,1,30,1,13,1,8,1,9,1,24,1,8,2,10,1,11,1,17,1,16,1,17,6,9,1,6,1,7,1,13,1,7,1,29,1,7,1,13,1,17,1,11,1,13,3,8,1,13,1,9,1,17,4,11,1,10,1,9,1,8,1,9,1,8,1,10,1,11,1,12,1,10,1,16,1,17,2,8,1,13,1,8,1,6,4,9,1,28,37,30,1,29,1,13,1,12,1,9,2,6,1,7,1,6,1,7,1,30,1,7,1,8,1,17,4,16,1,17,2,13,1,12,1,9,2,13,1,7,1,30,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,9,2,13,1,11,1,10,1,11,1,17,1,11,1,17,3,30,1,28,17,9,2,8,1,9,1,8,1,13,4,7,1,6,1,30,2,29,1,30,2,29,1,7,1,6,1,30,2,6,3,29,1,13,2,9,3,17,1,12,3,11,1,17,2,11,1,12,1,17,6,12,1,17,1,9,4,8,1,13,2,9,1,8,1,9,1,13,1,8,2,13,2,24,2,13,1,11,1,9,1,11,1,9,3,10,1,9,1,17,1,11,1,10,1,11,1,10,1,12,1,17,3,11,2,17,1,12,1,11,1,17,3,9,1,17,5,12,1,17,1,9,1,11,1,17,3,12,1,11,1,12,1,17,1,12,1,10,1,11,1,17,1,11,1,12,2,17,23,10,2,12,1,11,1,17,1,12,1,17,1,11,1,17,2,11,1,17,5,11,1,17,1,12,1,17,4,12,2,17,2,11,1,12,1,17,1,12,2,17,3,12,2,11,1,17,3,12,2,17,1,11,1,17,5,11,1,17,1,12,2,17,2,12,1,17,1,12,1,17,1,9,1,11,1,12,1,10,3,12,2,17,3,12,1,9,1,12,1,9,1,10,1,12,1,8,1,12,2,10,2,9,1,17,1,10,1,12,1,10,1,11,1,12,1,17,2,10,1,12,1,10,2,12,2,17,1,12,1,17,1,12,1,17,2,12,3,11,1,17,1,12,1,11,1,17,3,11,1,12,1,17,2,12,1,17,4,11,1,17,4,12,1,17,5,12,2,17,2,12,1,17,8,12,1,17,3,12,4,17,20,11,1,17,23,12,3,8,1,9,1,13,2,6,6,7,1,6,1,7,1,9,1,17,10,12,3,17,1,10,1,17,1,12,3,9,1,11,1,10,1,24,1,9,1,11,1,24,1,12,1,10,1,12,1,10,2,12,1,10,1,12,1,9,1,12,2,17,1,11,2,10,1,12,1,9,1,24,1,11,1,8,1,24,1,9,2,8,1,13,1,8,1,9,1,7,1,8,1,13,1,6,1,13,1,6,1,13,7,7,1,13,1,6,1,7,1,6,3,13,2,6,2,29,1,7,1,6,2,30,1,6,5,29,1,6,4,7,1,30,1,6,1,8,1,13,1,7,2,29,1,6,1,29,1,6,3,30,1,6,1,30,2,6,2,30,2,28,2,30,4,28,2,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,5,30,1,28,3,29,1,30,2,28,1,30,1,6,3,30,3,6,2,29,1,6,4,30,2,29,1,6,1,30,3,6,1,30,2,6,2,30,1,6,2,30,1,29,2,6,2,29,1,7,1,6,2,7,1,6,2,7,1,13,1,9,3,12,1,17,1,11,1,17,11,11,1,17,1,12,2,10,1,17,1,12,1,17,1,10,1,11,1,10,1,17,1,12,1,11,2,12,1,9,1,11,1,12,1,11,1,17,1,12,1,10,1,17,5,9,1,17,6,12,1,11,1,17,7,11,1,17,1,12,1,17,22,11,1,12,1,11,2,9,2,12,3,17,2,9,1,17,1,11,1,12,1,9,1,11,1,12,1,10,1,24,1,10,1,24,1,10,1,24,1,13,1,10,1,9,1,13,1,9,1,8,1,13,3,8,1,13,1,29,1,7,1,6,4,29,1,7,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,13,2,7,2,6,1,13,2,8,2,24,1,13,1,8,1,9,1,8,1,24,1,8,3,9,3,11,1,9,2,11,2,28,1,30,2,6,1,29,1,30,4,28,2,30,2,28,1,30,2,6,1,30,1,6,1,13,1,30,2,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,2,29,1,6,1,30,1,13,1,30,1,6,1,28,1,30,1,28,14,30,1,28,13,30,1,28,13,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,13,30,1,6,2,30,1,28,1,29,1,28,1,30,2,28,2,6,1,28,2,30,4,28,1,13,2,28,2,30,1,28,1,30,3,28,1,30,1,28,2,30,2,28,2,6,1,30,1,28,3,30,2,28,2,30,2,13,2,9,1,8,1,13,1,6,1,28,2,6,1,28,2,30,2,28,1,30,4,28,1,30,1,28,1,30,2,28,2,30,3,6,1,30,1,28,1,30,1,28,2,30,2,28,7,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,3,28,7,30,1,28,6,30,3,28,3,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,3,28,1,30,4,28,1,13,2,9,2,13,1,6,1,30,1,28,1,30,2,28,2,30,3,28,1,30,3,28,1,30,2,28,1,30,3,29,1,30,2,28,1,13,1,6,1,30,1,29,2,28,1,30,3,28,1,30,1,6,1,30,4,28,2,30,3,28,1,29,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,29,1,28,5,30,2,28,1,30,1,29,1,28,1,30,3,28,5,30,1,28,1,30,1,28,3,30,1,28,4,6,1,28,2,30,1,28,2,30,1,28,7,30,1,29,1,28,1,6,1,28,2,30,1,28,24,30,1,28,1,6,1,30,1,28,5,30,1,7,1,13,2,9,1,30,1,6,1,13,1,30,1,28,5,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,8,30,1,28,1,9,1,17,1,28,19,30,1,28,2,30,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,14,30,2,28,16,30,1,28,2,30,1,28,5,30,2,28,2,13,1,17,1,24,1,12,1,10,1,9,1,24,1,9,1,12,2,9,1,17,30,11,1,9,1,17,1,12,1,10,2,17,1,9,1,11,2,9,3,8,1,10,1,9,1,8,1,9,1,10,2,11,2,9,1,11,2,13,2,11,2,10,2,25,1,27,2,25,2,26,1,27,2,29,2,28,1,29,1,30,1,28,1,30,1,7,1,30,2,29,1,30,1,28,14,30,1,11,2,17,12,16,1,17,1,10,1,13,1,30,4,28,6,30,2,28,1,30,1,28,28,30,2,28,1,30,1,6,1,7,1,30,1,6,3,13,1,30,1,6,2,7,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,2,28,1,29,1,6,3,7,1,6,1,13,3,8,3,13,1,8,3,9,3,8,3,13,1,8,1,9,2,8,2,9,1,8,1,13,1,8,1,9,1,17,3,13,2,9,1,8,1,13,2,30,3,28,4,30,1,28,1,30,2,28,1,30,2,28,1,30,2,6,1,30,5,6,2,30,2,6,1,29,1,30,3,28,2,6,2,30,3,6,1,30,1,6,2,30,1,28,1,29,1,30,1,6,1,7,1,13,4,6,1,7,1,6,2,13,1,6,1,13,1,6,2,30,1,29,1,6,1,30,3,29,1,6,2,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,7,1,13,2,30,3,28,1,30,3,28,1,30,1,28,1,30,1,28,3,6,1,28,2,30,1,28,2,30,1,28,1,30,2,6,1,30,3,28,2,30,1,28,1,29,1,30,4,6,1,29,1,6,1,29,1,30,1,13,1,29,1,6,3,8,1,13,1,8,1,6,1,13,1,8,1,13,1,9,6,17,1,12,1,9,1,12,1,17,2,11,1,17,1,9,1,10,1,8,1,11,1,12,1,8,1,10,1,13,1,10,1,9,1,13,2,8,1,13,1,8,1,9,1,8,3,9,2,11,1,9,1,16,1,12,1,17,1,16,2,17,1,11,1,12,1,9,1,11,1,8,1,13,4,6,3,29,2,6,2,7,1,6,1,7,1,6,1,7,1,6,1,30,1,6,2,28,1,7,1,28,1,6,1,28,1,30,1,6,1,30,1,6,1,30,2,13,1,30,3,28,1,29,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,9,30,1,28,5,30,1,28,1,30,1,28,18,30,1,28,1,30,2,28,1,29,2,6,2,13,2,30,1,13,1,6,1,13,5,8,1,13,2,9,1,8,1,9,2,8,1,9,1,11,2,9,2,11,1,9,2,13,1,11,1,9,1,10,1,11,1,9,1,10,1,9,1,8,2,9,2,8,2,13,1,9,2,13,2,7,1,13,4,6,1,7,1,28,6,6,1,30,1,29,2,13,3,7,1,29,1,6,1,30,1,29,1,30,2,28,1,30,1,29,1,30,2,28,1,30,3,28,1,30,1,28,2,30,1,28,12,30,1,28,2,30,1,28,1,16,2,17,1,16,3,11,1,17,1,12,1,17,1,12,1,16,1,17,1,11,2,16,1,12,1,11,1,12,1,16,1,17,1,16,2,10,1,9,1,11,1,9,1,12,1,10,1,16,1,9,1,11,5,9,2,8,1,9,1,13,1,9,1,8,1,13,1,10,1,9,1,8,1,9,1,8,2,11,1,9,1,8,2,13,4,8,2,13,1,8,1,13,2,8,1,13,9,7,1,13,7,6,1,13,1,8,1,6,2,13,1,6,1,13,1,6,1,13,2,29,1,13,7,8,2,13,1,7,1,9,1,8,1,13,5,8,1,13,1,8,1,13,1,9,1,13,2,8,1,13,1,9,1,13,2,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,7,30,2,28,21,17,2,11,1,13,1,8,1,6,1,30,1,28,1,7,1,28,11,30,2,29,1,6,2,13,1,10,1,9,2,17,1,11,1,16,1,13,1,28,6,6,1,13,1,6,1,28,43,6,2,28,3,11,1,17,2,9,1,6,1,30,2,29,1,6,2,28,1,29,1,8,1,16,1,17,2,28,6,7,1,6,1,30,1,28,10,}, {6,1,30,1,28,1,30,1,28,2,11,1,15,1,8,1,28,24,30,1,28,23,30,1,6,1,28,2,29,1,8,1,10,1,11,1,6,1,7,1,6,1,7,1,28,1,6,1,8,1,17,1,8,2,13,1,10,2,11,1,17,2,16,1,17,5,11,1,7,2,13,1,6,1,30,1,6,1,13,1,11,1,10,1,11,1,13,2,8,1,6,1,13,1,12,1,17,4,9,1,8,2,13,2,10,1,9,2,10,1,17,3,9,1,13,3,6,1,30,1,6,1,13,1,28,36,30,1,28,1,7,1,8,1,24,1,12,1,13,1,6,2,13,1,6,1,29,1,28,1,13,1,17,4,16,1,17,2,16,1,9,3,13,1,6,2,7,1,6,1,7,1,13,1,6,2,13,2,9,1,8,1,13,1,11,2,17,3,16,1,14,1,6,1,28,17,13,2,9,1,13,1,7,1,13,6,6,3,28,1,6,1,7,1,30,3,6,1,29,2,7,1,30,1,13,2,8,3,9,1,17,3,12,1,17,10,11,1,10,1,11,1,17,1,9,1,8,1,13,1,8,1,9,1,13,6,8,1,9,1,8,2,9,1,10,1,9,1,8,1,10,1,12,2,10,1,9,1,10,4,17,2,9,1,17,4,12,1,17,2,12,1,17,7,10,1,17,1,11,1,17,1,11,1,17,2,10,1,17,2,12,2,17,2,11,1,17,1,12,1,17,2,12,2,17,9,11,1,17,4,12,1,17,4,12,1,17,2,12,4,17,4,12,2,17,4,11,1,17,7,10,1,17,1,10,1,17,3,9,1,17,1,10,1,17,1,9,1,12,1,11,1,17,1,11,1,17,2,11,1,17,2,11,1,17,2,12,2,10,1,9,1,11,1,17,2,12,1,11,1,17,2,10,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,11,1,10,1,12,2,9,1,12,1,10,2,12,1,11,1,10,1,17,1,12,1,9,1,17,1,10,1,17,2,12,1,11,1,17,1,11,1,12,1,9,2,12,1,11,1,17,1,11,2,17,1,12,1,17,1,12,2,17,1,11,3,17,2,12,1,9,1,17,5,12,1,17,2,11,1,17,1,12,2,11,1,17,3,12,1,17,2,12,1,17,10,11,1,10,1,11,1,17,4,12,1,17,10,12,1,17,6,12,1,17,11,12,2,11,1,17,1,12,1,17,10,12,2,8,1,13,1,8,1,13,2,6,1,13,1,6,2,7,1,29,2,6,2,9,1,17,8,12,4,11,1,10,1,17,1,12,1,17,1,11,1,9,1,11,1,24,1,17,1,12,1,10,1,9,1,17,1,9,1,12,1,17,1,9,3,12,1,10,1,9,1,12,1,11,2,9,1,24,1,10,2,8,1,11,2,24,2,9,1,8,1,9,2,13,2,8,1,13,1,6,1,13,2,8,1,13,4,6,1,13,1,7,1,8,1,6,1,7,1,29,1,7,1,6,1,29,1,6,1,28,1,7,1,6,1,30,1,6,1,29,1,6,2,30,1,29,1,6,3,13,1,6,4,13,1,29,1,6,1,13,2,6,4,7,1,30,1,6,1,30,1,7,1,6,1,30,1,7,1,30,3,29,4,28,3,30,1,28,1,6,1,30,1,28,2,30,4,28,4,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,2,6,1,30,1,29,2,30,1,6,1,30,2,6,2,30,3,29,2,30,1,6,2,30,2,6,1,30,2,28,1,30,2,29,2,28,1,6,1,30,1,6,1,30,1,13,1,6,2,29,1,7,1,29,2,6,4,9,3,11,1,17,1,10,1,17,9,12,1,11,1,17,1,12,2,10,2,12,1,11,2,17,1,11,1,9,1,11,1,12,2,11,1,17,1,9,1,11,1,9,1,12,1,9,1,11,1,17,1,12,1,17,4,11,2,12,1,17,6,12,1,11,1,17,5,12,1,17,25,9,1,11,1,9,1,10,1,12,2,17,2,12,1,17,5,12,1,17,1,12,1,9,1,17,1,10,1,24,1,8,1,24,1,8,2,9,2,8,1,9,1,8,1,9,1,8,1,7,2,6,1,29,1,6,2,30,1,13,2,30,1,29,1,6,4,30,1,29,1,13,1,6,2,7,1,13,1,6,1,7,1,13,4,6,1,8,1,9,1,13,1,10,1,8,2,7,1,24,1,8,1,9,3,8,2,11,1,17,1,9,1,6,2,28,1,30,6,28,1,30,3,28,3,30,1,6,2,30,4,28,1,30,1,28,2,30,3,28,2,6,1,28,5,30,1,6,3,30,1,28,1,30,3,28,1,30,1,28,2,29,1,28,2,30,1,28,14,30,1,28,8,30,1,28,1,30,1,28,7,30,1,28,1,30,1,6,1,30,1,28,7,30,1,28,4,30,1,28,6,30,1,28,3,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,1,9,1,28,3,30,3,6,1,30,2,28,1,6,1,28,1,30,3,28,1,6,2,28,7,6,1,7,1,8,2,13,1,6,1,30,1,29,1,30,1,28,1,30,1,28,3,30,5,28,1,30,1,28,1,6,1,29,1,28,3,30,1,28,1,30,1,28,2,30,3,28,4,30,1,28,4,30,1,28,4,6,1,28,2,30,1,28,5,30,1,28,1,30,1,28,2,13,1,28,8,30,1,28,1,30,1,28,1,30,6,28,1,30,1,28,3,30,4,28,3,30,3,28,1,30,1,29,1,28,1,6,1,9,2,8,1,13,1,6,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,2,30,7,28,1,30,3,13,1,6,1,28,1,30,1,6,2,30,2,6,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,6,1,30,2,6,2,28,1,30,2,28,1,30,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,5,30,1,28,2,30,1,28,7,9,1,13,1,30,1,28,3,30,2,28,1,30,1,28,5,30,1,6,1,30,3,28,1,30,1,28,10,30,1,28,17,30,1,28,2,29,1,28,1,30,1,13,4,6,1,13,1,28,4,30,1,28,3,7,1,30,1,28,13,30,1,28,8,30,3,28,1,30,1,28,1,11,1,17,1,28,3,30,1,28,3,30,2,28,13,30,4,28,1,30,1,28,1,30,1,28,17,30,1,28,13,30,1,28,3,30,1,28,10,30,1,28,1,11,1,17,1,12,1,17,3,8,1,12,1,10,1,9,1,10,1,17,30,12,1,17,2,10,1,9,1,17,1,11,1,9,2,10,1,9,1,11,1,8,2,11,1,9,1,8,1,9,1,11,1,9,1,11,4,9,2,7,1,11,2,9,1,10,1,25,1,27,1,25,1,29,1,8,1,25,1,27,2,30,2,29,1,28,1,29,1,28,2,13,1,28,1,6,1,30,2,28,2,30,1,28,2,30,1,28,8,30,1,16,1,11,1,17,1,11,1,17,3,11,1,17,9,9,1,6,1,30,2,28,2,30,3,28,3,30,2,28,5,30,1,28,2,30,1,28,15,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,7,1,29,1,30,2,6,1,28,1,29,1,6,6,30,1,29,1,30,3,28,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,30,1,28,2,7,3,6,1,13,1,7,1,13,2,9,1,6,1,13,1,9,6,8,1,9,2,8,1,9,3,8,1,9,2,13,1,9,1,17,3,16,1,10,1,9,1,8,1,13,2,6,2,28,1,30,1,28,1,30,2,28,3,30,1,6,1,28,1,6,1,28,1,29,1,6,1,30,3,28,1,30,2,6,1,30,2,6,1,30,1,28,1,6,1,30,2,28,1,6,2,30,1,6,1,29,1,6,1,28,1,6,1,30,3,28,1,6,1,30,1,13,5,6,1,7,1,6,2,30,1,6,1,13,1,29,1,6,1,30,2,29,1,30,1,29,1,30,2,6,1,29,2,30,2,29,1,30,2,28,1,30,5,13,2,6,1,30,3,28,1,30,2,28,2,30,1,28,1,30,1,28,2,6,1,28,3,30,1,28,3,30,1,28,1,6,1,30,2,6,1,30,3,6,1,28,1,6,1,30,2,28,2,6,1,30,1,6,1,30,1,29,1,6,2,13,2,7,1,13,4,8,3,9,1,8,1,10,2,9,2,17,3,11,1,16,1,17,1,10,2,11,1,10,1,9,1,10,1,8,1,13,3,9,1,13,2,8,1,13,1,8,1,9,6,11,1,8,1,17,1,16,1,12,1,9,1,12,1,10,1,16,1,12,1,17,1,11,1,9,2,13,3,6,2,13,2,6,2,28,1,6,1,29,1,7,1,6,1,7,1,28,1,30,1,29,1,6,1,30,1,6,2,7,1,6,1,30,2,6,2,28,1,30,1,6,1,28,1,30,5,28,1,30,1,28,2,30,3,28,11,30,1,28,4,30,1,28,24,30,1,28,4,30,1,28,1,30,1,28,1,13,1,6,1,28,1,6,1,30,1,13,1,29,1,13,2,30,1,13,1,6,1,8,1,13,5,8,1,9,2,10,1,9,2,11,1,16,1,9,3,11,1,9,4,11,1,9,3,13,1,9,2,8,1,9,4,8,1,9,1,13,6,8,1,13,3,6,1,29,1,30,1,28,2,13,1,8,1,13,2,6,1,30,1,6,1,30,3,28,1,7,1,29,1,30,2,6,1,28,2,29,1,28,1,30,2,28,18,30,2,16,1,11,2,16,1,11,2,16,3,17,1,11,1,16,2,11,1,17,1,11,1,17,1,12,1,16,1,12,1,16,2,11,1,16,1,11,1,10,1,9,1,10,1,11,2,9,1,11,1,9,1,11,1,9,1,10,1,9,2,13,1,9,1,8,1,13,1,9,2,8,1,9,3,8,1,16,1,13,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,6,1,13,3,8,1,9,1,13,1,9,1,13,1,8,1,13,1,7,1,13,1,9,1,13,1,6,1,8,1,13,2,6,1,13,1,6,2,13,2,7,1,13,3,7,1,13,1,6,1,13,2,7,1,13,10,7,1,8,1,6,1,13,1,8,1,7,1,13,2,9,1,13,3,9,1,13,2,8,1,13,2,9,1,13,1,8,1,28,8,6,1,30,1,28,2,30,1,28,2,30,2,28,3,30,1,28,23,17,2,9,1,7,1,13,1,30,1,6,1,30,3,28,11,6,1,30,1,6,1,30,1,9,2,8,1,10,1,11,3,13,1,28,6,6,1,13,1,7,1,28,43,13,1,29,1,28,3,17,3,9,1,13,1,7,1,30,1,13,1,6,1,7,1,13,1,8,1,9,1,16,1,17,1,12,1,28,6,13,1,28,12,}, {28,1,30,2,28,3,9,1,17,1,24,1,28,52,30,1,8,1,17,1,9,1,6,1,30,1,29,1,6,1,30,2,13,1,17,1,8,1,9,1,13,1,9,1,8,1,10,1,17,1,16,1,17,6,11,1,24,1,13,1,7,3,13,1,7,1,11,2,13,1,9,1,7,1,9,1,13,1,9,1,17,5,11,1,8,2,9,1,13,2,11,1,10,1,17,1,10,1,17,2,9,1,8,1,13,1,30,1,6,1,13,3,28,38,7,1,13,1,11,1,9,2,6,2,13,1,29,1,6,2,13,1,17,7,9,1,11,1,12,1,9,2,6,2,7,1,6,4,30,1,13,2,8,1,9,2,12,1,10,1,17,5,6,1,28,17,11,1,9,1,8,2,13,5,8,1,7,1,6,2,30,1,7,1,6,3,29,1,7,1,30,1,6,4,29,1,13,1,8,1,9,1,13,3,9,1,11,1,17,2,12,1,17,3,11,1,17,5,9,1,11,1,9,1,13,1,9,2,8,3,13,2,7,1,8,3,13,1,7,1,9,1,8,2,10,1,9,1,11,1,10,2,12,1,9,1,17,1,9,1,12,1,10,1,12,2,17,1,12,1,17,1,10,1,11,1,9,1,17,1,10,1,17,1,12,2,11,1,17,2,9,1,17,4,11,1,12,1,17,3,12,3,17,2,12,1,17,5,12,1,17,14,12,1,17,4,12,1,11,1,17,2,10,1,17,3,12,2,17,5,11,1,17,4,12,2,17,1,12,1,17,2,12,1,17,1,9,1,17,2,11,1,17,2,9,1,11,1,9,1,17,1,12,2,17,1,12,3,17,1,11,3,17,1,12,2,11,1,17,3,11,5,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,10,1,17,1,12,1,10,2,17,2,10,2,11,1,10,3,12,1,17,1,10,1,17,1,24,1,17,1,12,1,11,1,17,3,12,2,11,2,12,2,17,1,12,2,17,3,12,1,17,5,12,1,11,1,17,2,11,1,12,1,17,2,11,1,17,2,12,1,17,12,12,1,17,1,12,1,17,1,12,1,17,10,11,1,17,2,11,1,17,3,12,1,17,4,12,2,17,16,11,1,17,4,12,1,9,3,11,2,12,1,17,9,12,1,11,1,10,1,8,2,13,1,7,1,29,1,6,2,7,1,6,3,7,1,9,1,17,9,12,2,11,1,17,2,9,1,17,2,10,1,17,1,9,1,12,1,10,1,12,1,24,1,10,1,11,1,9,1,17,1,24,2,9,1,10,1,8,1,9,1,10,3,24,2,9,2,8,1,9,1,8,1,13,1,8,1,10,1,9,1,8,1,13,1,24,1,8,1,13,1,8,1,13,3,7,1,13,1,8,1,7,1,13,1,8,1,13,3,7,3,6,1,30,1,13,2,6,2,7,1,6,1,7,1,6,1,7,1,29,1,6,1,29,1,6,1,29,1,13,1,28,1,6,1,30,1,29,1,6,4,13,1,7,2,30,1,6,3,29,1,6,1,7,1,30,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,28,1,29,1,28,4,30,2,28,8,30,1,28,2,30,1,28,2,30,2,28,2,30,1,28,4,29,1,28,2,30,2,28,1,30,2,28,3,29,1,28,1,6,2,30,1,7,1,30,1,6,1,30,1,29,2,6,4,29,1,6,1,29,1,30,1,6,2,29,1,30,1,7,2,28,1,6,3,7,3,30,1,6,1,30,3,29,1,30,1,6,2,28,1,29,1,30,1,6,1,9,1,10,1,17,1,10,1,17,1,12,2,17,8,11,1,12,1,17,1,11,1,17,1,11,1,17,1,12,3,10,1,17,1,11,2,17,1,12,1,11,1,10,2,11,1,9,1,12,1,10,1,17,1,12,2,9,1,10,1,9,1,10,1,17,1,9,2,17,3,12,1,17,7,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,22,9,1,11,1,9,1,12,1,11,1,17,1,11,1,17,2,12,1,11,1,12,1,17,3,9,1,10,1,9,2,8,1,10,1,9,1,13,1,24,1,8,1,13,1,24,1,9,1,13,2,7,1,6,2,30,1,13,1,30,1,6,2,30,1,7,1,29,2,30,1,6,2,29,1,30,1,6,1,13,1,6,3,29,1,6,2,13,3,8,1,13,1,8,1,24,2,9,1,13,2,24,1,13,1,24,1,9,1,8,1,9,4,17,1,6,1,28,1,6,1,30,11,28,2,30,3,6,2,30,1,28,2,30,1,28,1,30,2,28,1,6,1,28,1,6,3,30,1,29,1,30,3,6,2,28,5,30,3,28,1,30,1,28,6,30,1,28,7,30,2,28,4,30,1,28,2,30,1,28,4,30,1,28,9,30,1,28,1,30,1,28,3,30,1,28,11,30,1,28,16,30,1,28,2,30,1,28,2,30,1,28,3,30,4,28,1,13,2,6,1,28,1,30,2,6,1,28,2,30,2,28,1,30,3,29,1,28,1,30,3,6,1,28,2,6,1,30,4,13,2,8,1,13,2,30,2,28,1,30,2,28,4,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,4,29,1,28,6,30,3,28,2,30,1,28,1,29,1,28,1,30,2,28,1,30,4,28,3,30,1,28,1,30,1,28,5,30,1,28,1,6,1,28,6,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,7,30,1,28,3,6,1,30,2,28,1,6,2,13,3,30,1,29,1,28,7,30,1,28,4,30,1,28,1,29,1,30,2,28,1,30,2,28,1,30,2,28,1,30,2,10,1,16,1,6,1,30,5,6,1,30,3,28,2,30,1,28,1,30,2,6,1,28,1,30,1,28,2,30,1,29,1,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,13,1,28,3,30,1,28,4,30,1,28,3,30,3,28,6,17,1,13,1,28,5,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,5,30,1,28,7,30,1,28,5,30,2,28,7,30,1,28,8,30,1,13,1,9,1,13,1,6,2,30,1,28,5,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,20,30,1,28,1,6,1,13,1,30,1,28,3,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,8,30,1,28,9,30,1,28,15,30,1,28,19,30,1,28,2,30,1,28,4,30,1,28,1,11,1,17,5,8,2,12,1,24,1,11,1,17,25,11,1,16,1,17,3,11,1,17,2,11,1,17,1,11,3,8,1,12,1,8,1,9,1,13,1,9,2,10,1,9,1,13,1,9,1,8,1,9,1,11,1,9,1,11,2,9,1,13,1,9,1,11,1,9,1,24,1,25,1,30,1,25,1,27,1,26,1,25,1,27,1,29,1,27,1,29,1,30,1,29,2,28,1,6,1,29,1,30,1,29,2,30,2,28,13,7,1,11,1,9,1,16,1,17,15,13,1,6,1,28,1,30,3,28,2,30,1,28,2,30,4,28,1,30,1,28,25,30,1,28,1,6,1,13,1,6,1,30,1,6,1,28,1,6,2,30,1,6,1,30,1,7,1,30,1,29,1,30,1,6,1,29,1,30,2,28,1,30,3,6,1,29,1,30,1,29,1,6,1,29,1,6,1,30,1,7,2,13,1,29,1,13,1,8,1,7,1,13,2,9,1,13,1,8,1,9,1,13,1,8,3,9,1,8,1,13,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,13,2,11,1,8,1,11,1,17,2,16,1,8,1,11,1,13,1,6,1,7,1,29,1,6,1,30,1,28,2,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,30,2,28,3,30,1,6,1,30,2,28,2,30,10,28,1,29,1,30,1,6,3,13,1,7,1,13,3,6,2,13,1,6,1,7,1,6,1,29,1,7,1,6,1,7,1,30,1,6,2,30,3,29,1,30,3,28,1,30,2,6,1,28,1,30,2,28,1,30,1,29,1,6,4,28,1,29,1,28,2,29,1,28,1,30,1,28,7,30,1,28,3,30,4,28,1,30,1,28,1,6,1,28,1,6,1,30,1,28,4,30,2,29,1,30,1,29,1,6,1,30,1,6,3,13,2,30,1,7,1,13,2,9,4,8,1,10,1,9,1,11,2,17,3,10,2,9,1,11,1,16,1,8,1,10,1,8,3,13,1,8,1,9,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,9,2,11,1,10,1,16,1,17,1,11,1,16,2,11,4,10,1,9,4,13,1,6,1,13,1,6,3,30,1,7,1,13,2,30,2,7,1,6,2,13,1,6,1,13,1,6,2,13,1,29,1,30,2,6,2,30,2,7,1,6,1,28,2,30,3,28,1,30,1,28,2,30,4,28,18,30,1,28,27,30,1,28,2,6,1,30,1,29,1,6,2,30,1,28,1,6,1,30,1,6,3,13,1,6,1,13,2,8,1,13,1,8,3,13,1,9,1,8,1,9,1,8,1,9,1,11,1,8,1,9,3,10,2,11,1,9,14,13,1,9,1,13,1,8,2,9,1,8,1,13,1,9,4,13,1,6,4,13,3,6,3,29,1,6,1,30,2,6,2,30,2,28,4,30,2,6,1,30,3,28,4,30,1,28,8,30,1,28,2,30,1,11,1,16,1,17,1,11,1,17,1,16,1,11,1,16,1,11,1,17,2,12,1,16,1,11,1,17,1,11,1,16,2,11,1,17,1,12,1,9,1,17,1,11,1,10,2,12,1,11,1,8,2,9,3,8,1,9,3,13,1,9,1,13,1,8,1,9,1,10,1,8,1,13,1,8,2,13,1,8,1,9,4,13,1,9,1,13,2,9,1,16,1,9,2,8,1,13,2,8,1,13,1,8,1,13,2,8,1,6,1,13,1,7,1,9,1,7,1,13,3,7,2,13,6,7,1,13,2,8,1,13,3,6,1,13,1,8,1,13,4,8,1,13,2,7,1,8,1,7,1,13,1,8,1,7,1,9,1,13,3,8,1,13,1,8,2,13,1,8,1,13,2,8,1,13,2,30,1,28,5,30,1,28,3,6,1,30,4,28,2,30,1,28,3,30,4,28,18,30,1,17,2,10,1,13,1,9,1,30,2,6,2,29,1,30,1,28,8,6,1,28,2,30,2,28,1,13,1,8,3,11,2,16,1,6,1,28,2,30,1,28,3,13,1,9,1,28,44,6,1,30,1,28,2,30,1,17,3,9,2,6,2,13,1,7,1,13,1,29,1,9,2,16,1,17,1,8,1,28,6,6,1,13,1,28,11,}, {29,1,28,1,30,2,29,1,28,1,9,1,14,1,8,1,28,25,30,1,28,27,8,1,17,1,8,2,28,1,30,2,6,1,30,1,8,1,9,2,13,1,24,1,13,1,8,1,11,1,17,8,9,1,8,1,13,1,7,1,29,1,6,1,13,1,6,1,12,1,17,1,13,3,6,1,13,1,10,1,17,6,8,1,13,3,8,1,9,3,12,1,16,1,17,1,9,1,6,1,13,1,7,1,29,1,6,1,7,1,13,1,30,1,28,36,30,1,6,1,13,1,8,1,9,1,13,3,7,1,6,2,7,1,13,1,17,7,9,1,11,1,8,1,9,2,8,1,6,2,30,1,13,1,6,2,7,1,9,1,13,1,9,3,16,1,9,1,17,2,11,1,17,2,13,1,28,17,11,1,9,1,13,2,9,1,13,3,9,1,13,2,6,3,7,1,6,2,13,1,30,1,7,1,30,2,6,1,30,1,13,1,6,1,30,1,8,1,13,1,9,2,11,1,9,1,10,1,17,1,11,1,17,3,12,1,17,7,11,1,10,1,8,1,9,1,13,2,8,2,13,1,8,2,13,1,8,3,9,1,8,1,13,1,9,1,10,1,9,1,11,1,9,2,10,1,8,1,9,2,12,1,11,2,12,1,17,1,9,1,17,1,12,3,17,2,11,3,12,1,17,6,12,1,17,2,9,1,17,2,10,1,12,1,17,4,12,1,17,18,12,1,17,1,9,1,17,8,11,1,9,1,12,2,10,1,12,1,17,1,12,1,17,3,12,1,10,1,12,1,17,1,11,1,12,1,17,1,12,1,11,1,12,2,11,1,17,1,12,1,17,3,12,1,17,4,12,1,9,1,17,1,12,1,17,3,12,2,17,6,12,1,11,1,17,1,11,1,17,1,12,1,11,1,17,1,12,1,11,1,17,3,10,1,12,1,9,1,17,3,12,3,17,1,11,1,9,1,12,1,11,1,12,1,17,1,9,1,10,1,12,1,10,1,17,2,10,1,17,1,10,1,12,1,9,1,17,2,12,1,17,1,11,1,17,1,11,1,17,3,12,2,17,1,12,1,17,3,12,1,17,1,12,1,17,6,12,1,17,2,12,1,17,10,11,1,17,4,12,1,17,3,12,1,17,8,10,1,17,6,11,1,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,2,12,1,17,1,11,1,17,2,10,1,17,10,9,1,12,1,8,1,9,3,11,1,17,10,9,1,8,1,7,3,13,2,6,2,30,1,29,1,6,3,9,1,17,12,12,1,17,4,12,1,11,1,10,1,9,1,10,1,12,1,10,2,12,2,17,1,12,1,24,1,12,1,10,3,8,2,9,2,8,2,9,2,8,1,13,1,9,1,7,1,24,1,8,1,10,1,12,1,13,1,9,1,8,1,13,2,8,1,6,1,7,2,8,1,13,2,8,1,30,1,13,1,8,1,13,1,7,1,6,1,8,1,6,4,13,1,6,1,7,1,13,1,30,1,6,1,30,1,29,1,6,2,30,1,6,2,13,1,6,1,30,1,6,1,29,1,7,1,13,2,30,1,7,1,6,1,7,1,29,2,6,1,29,1,6,2,29,1,6,1,30,1,6,2,30,1,29,1,6,1,30,6,28,2,6,1,30,1,28,4,30,1,28,4,30,1,28,3,30,2,28,8,30,1,28,5,30,1,28,1,30,2,28,1,30,1,6,2,29,1,6,1,30,2,6,1,28,1,6,2,30,1,6,1,30,1,6,3,30,2,6,1,29,1,6,1,30,1,6,1,7,1,30,1,6,1,29,1,6,1,13,1,28,1,30,2,6,1,30,1,29,1,28,1,29,1,28,1,30,2,29,1,30,1,13,1,9,1,11,1,12,1,17,1,12,2,17,3,12,1,17,4,12,1,11,1,12,1,17,3,10,1,12,1,17,4,11,1,12,1,9,1,11,1,12,1,17,1,9,1,10,1,12,1,11,1,10,1,9,1,11,2,17,3,11,1,17,1,11,1,10,1,8,1,17,7,12,1,17,3,12,1,17,1,9,1,17,6,12,1,17,1,11,1,17,17,9,1,11,1,17,1,10,1,17,1,11,2,17,1,12,1,17,1,12,1,10,1,17,1,12,3,10,1,17,1,9,1,10,1,8,1,9,4,10,1,9,1,8,2,13,1,7,1,13,1,29,1,6,2,7,1,29,1,6,1,29,1,7,1,30,1,6,2,29,2,28,1,7,1,6,2,7,1,6,1,30,1,13,1,29,1,7,1,6,1,13,2,8,1,13,1,8,1,24,1,8,1,13,1,8,2,24,1,13,2,8,1,9,2,11,1,8,1,10,1,17,1,29,1,28,2,30,1,29,1,30,1,6,1,29,1,30,4,6,1,28,1,30,1,6,1,30,1,29,1,28,1,13,1,30,1,28,1,30,6,28,1,30,1,28,1,13,1,6,1,30,2,6,1,30,1,6,1,30,2,28,1,30,1,28,5,30,2,28,8,30,1,28,4,30,1,28,8,30,2,28,5,30,1,28,1,30,1,28,6,30,2,28,2,30,1,28,27,30,2,28,6,30,1,28,2,30,2,28,1,29,1,28,1,30,2,28,1,13,2,6,1,28,1,30,2,6,1,30,4,28,1,6,1,28,1,30,4,6,1,28,1,30,1,7,1,13,1,6,1,13,1,6,1,13,7,6,1,28,3,30,2,28,3,30,2,28,1,30,2,28,2,30,2,28,1,30,1,28,2,30,2,28,1,30,2,28,5,30,1,28,1,30,2,28,5,30,1,28,2,7,1,30,1,28,3,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,13,1,30,1,28,2,30,2,28,2,30,1,28,2,30,2,28,3,30,1,28,3,30,1,28,5,30,1,28,5,30,3,28,2,6,2,13,3,6,1,28,13,30,1,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,3,9,1,6,1,30,1,6,1,30,2,28,1,30,2,28,3,30,2,28,2,30,4,28,1,30,4,28,2,29,1,30,1,6,1,28,1,6,1,28,1,30,2,28,2,30,1,28,1,29,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,3,30,3,6,1,13,1,30,1,28,10,30,1,28,2,30,1,28,11,30,1,28,4,30,1,28,1,30,4,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,13,2,30,1,6,1,13,1,30,1,28,4,30,1,28,2,29,1,30,2,28,6,30,1,28,4,30,1,28,5,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,6,1,28,2,30,3,28,4,30,1,28,17,30,1,28,6,30,1,28,3,30,1,28,7,30,1,28,5,30,1,28,3,10,1,17,5,8,1,10,1,12,1,24,1,17,20,11,1,17,5,11,1,17,5,11,1,17,1,11,1,17,1,11,2,9,1,11,1,8,1,12,1,9,1,11,1,8,1,11,2,9,3,11,1,10,1,9,1,11,1,9,3,13,1,10,1,9,1,24,1,12,1,8,1,30,1,25,1,26,1,25,1,27,4,29,3,27,2,29,1,6,1,28,1,6,2,28,5,29,1,30,1,28,8,7,1,11,2,16,1,17,5,11,1,17,9,11,1,13,1,30,1,28,2,30,5,28,1,30,1,28,2,9,1,7,1,28,8,30,1,28,17,30,2,13,1,6,1,30,1,28,1,30,3,28,1,6,1,28,1,13,1,30,1,6,1,30,3,28,5,30,5,6,1,28,1,30,1,29,2,6,1,7,1,6,1,13,1,6,1,7,1,13,1,7,1,13,3,8,1,13,1,9,3,8,1,9,2,8,1,9,1,8,1,11,1,8,1,9,1,10,1,8,2,9,2,13,1,8,1,16,1,17,2,11,1,13,1,8,1,13,2,6,1,30,1,6,1,30,3,28,1,30,3,28,1,30,1,28,1,30,2,29,1,30,1,6,1,30,1,28,2,30,2,6,1,30,3,6,1,30,2,28,1,30,4,6,1,30,2,29,1,28,2,30,1,28,1,6,1,30,1,13,1,8,1,13,2,7,1,6,1,7,2,6,6,30,1,29,1,6,1,13,1,6,1,30,1,28,1,6,1,28,1,30,5,28,1,30,2,28,1,30,1,28,1,30,1,13,1,30,1,6,1,29,1,30,4,28,2,29,1,30,1,28,1,30,2,28,3,29,1,28,2,29,1,28,2,30,3,28,1,30,4,6,1,30,2,6,1,30,1,29,1,30,3,6,1,28,1,6,6,29,1,13,1,8,1,13,1,8,1,13,1,9,2,11,1,12,1,10,2,12,1,11,1,17,1,12,1,9,1,10,1,11,1,10,1,11,1,9,2,10,1,8,1,9,1,8,1,13,1,8,1,13,2,9,1,8,1,13,1,8,1,9,1,8,1,11,1,9,1,17,1,9,1,16,1,10,1,12,1,11,1,10,1,16,1,11,1,17,1,11,1,10,2,9,2,11,1,9,1,13,2,6,1,13,1,7,1,6,4,29,1,30,1,6,3,29,1,6,2,30,2,29,1,6,1,30,2,29,1,6,1,30,1,6,1,30,1,28,1,29,1,30,2,28,1,6,1,28,2,30,2,28,2,30,1,28,2,30,2,28,5,30,1,28,4,30,1,28,36,30,3,28,1,30,1,28,1,6,1,30,1,6,3,29,1,7,2,6,3,13,2,8,1,13,1,8,1,9,1,8,2,10,1,8,1,9,1,10,1,9,2,10,1,9,1,10,1,11,1,8,1,11,4,9,1,10,1,9,2,8,1,9,2,8,1,9,1,8,1,9,2,8,1,13,1,9,3,10,1,11,1,9,1,13,1,8,1,13,3,9,1,11,1,9,2,13,1,6,1,29,1,30,2,6,1,30,2,28,1,30,3,6,1,30,1,28,2,30,3,28,16,30,1,28,1,30,2,11,1,17,2,11,2,16,4,17,3,16,1,17,1,16,1,17,1,9,1,11,1,16,1,17,1,10,1,11,1,10,1,9,5,13,1,11,1,9,3,8,1,9,4,8,1,9,3,13,1,9,1,8,1,10,1,9,4,13,1,9,1,13,2,8,2,13,1,8,1,6,1,9,2,8,2,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,9,8,1,7,1,13,2,7,1,13,3,30,2,8,1,13,1,8,3,13,3,8,2,13,3,8,1,13,12,9,1,13,1,8,1,9,1,13,1,8,1,13,2,30,1,28,3,30,1,28,3,30,2,6,1,28,1,30,1,28,1,30,3,28,2,30,1,29,1,28,2,30,1,28,20,17,2,13,2,7,1,13,1,29,1,6,1,30,2,28,9,30,2,28,1,6,1,28,1,30,1,9,1,8,1,13,1,8,1,11,1,9,1,11,1,13,1,28,6,13,1,9,1,6,1,28,42,6,1,7,1,28,3,6,1,17,2,11,1,8,1,13,1,6,4,13,2,9,2,17,2,12,1,28,5,30,1,6,1,30,1,28,11,}, {28,1,30,2,28,1,7,1,28,1,24,1,17,1,8,1,28,52,29,1,6,1,17,1,9,1,30,1,28,1,30,3,28,1,24,1,12,1,9,1,6,1,13,1,8,2,11,2,17,7,16,1,9,1,13,2,6,1,30,1,28,1,30,1,17,1,9,2,13,1,7,2,8,1,13,1,17,6,10,1,9,1,13,1,9,1,13,1,8,1,9,2,17,2,16,1,9,1,7,1,6,2,7,2,13,1,7,1,30,1,28,37,8,1,7,1,8,1,12,1,8,1,13,1,7,2,6,1,13,1,28,1,8,1,12,1,17,6,16,1,9,1,8,1,9,1,8,1,13,2,6,1,13,1,8,1,13,3,8,1,9,1,13,1,9,3,10,1,11,1,12,1,17,3,8,1,28,17,9,1,11,1,9,2,8,1,9,3,8,1,13,3,6,3,13,1,6,1,13,1,6,2,29,1,6,1,7,1,29,1,7,2,13,5,9,5,12,1,17,2,11,1,17,7,9,1,8,5,7,1,24,1,8,1,13,1,7,1,9,1,13,1,8,1,9,1,13,1,24,1,9,1,8,1,13,1,11,1,8,1,10,1,9,2,11,1,13,1,11,1,12,1,10,1,17,3,12,1,11,1,17,1,11,2,12,2,17,1,11,1,17,1,12,1,10,1,9,1,17,1,12,2,17,1,11,2,17,2,12,1,17,1,12,1,11,1,17,1,12,1,17,2,12,1,17,1,12,3,17,7,11,1,17,3,10,1,12,1,17,1,12,1,17,3,12,2,17,1,12,1,11,1,12,1,17,1,11,1,17,1,9,1,17,4,11,1,17,1,11,1,17,1,11,1,17,1,12,3,17,2,10,1,12,1,11,1,17,2,9,1,17,3,11,1,12,2,17,3,9,1,17,1,12,3,10,1,12,3,17,1,12,1,17,1,12,1,11,1,17,2,12,2,17,6,12,1,17,1,11,1,17,2,12,1,17,1,11,1,9,1,12,1,17,1,10,1,11,1,12,1,17,1,11,1,17,2,9,1,12,1,10,1,17,3,12,1,17,1,9,1,12,2,17,3,11,1,17,1,12,1,11,1,12,1,17,1,12,1,17,1,10,2,17,4,12,1,17,7,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,3,12,1,17,6,11,1,17,2,11,1,17,1,12,1,17,1,11,1,17,1,10,1,17,6,11,1,17,7,12,2,17,10,10,1,17,1,10,1,17,9,12,1,17,1,12,1,10,1,11,1,10,1,9,3,8,1,9,2,17,9,10,1,12,1,17,1,9,1,13,4,6,1,13,1,6,1,29,1,6,2,8,1,17,11,12,1,17,1,12,2,17,1,12,1,17,1,10,1,12,1,9,1,17,1,12,1,9,1,24,1,12,1,11,1,9,1,17,1,9,1,24,1,12,1,8,1,24,2,9,1,8,1,24,1,9,2,13,2,8,1,13,1,8,1,13,1,7,1,13,2,8,1,13,1,9,3,13,4,7,1,8,1,7,1,13,1,7,1,13,2,6,1,7,1,13,1,6,1,13,1,6,5,7,1,6,2,29,1,7,1,6,1,13,1,6,1,30,1,6,1,29,1,7,1,6,2,13,1,30,1,6,1,13,1,29,1,6,5,30,1,6,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,30,3,6,2,30,1,6,2,7,1,8,1,30,1,29,1,28,1,30,1,6,1,28,3,30,1,28,7,30,1,28,2,30,2,28,10,30,1,28,3,30,1,28,1,29,1,30,1,28,1,29,1,6,1,30,2,29,3,7,1,6,1,7,1,29,1,6,1,29,1,6,1,30,3,7,2,6,8,30,2,6,1,29,2,30,1,28,1,30,1,28,1,30,4,28,1,6,1,8,1,11,3,12,1,9,1,12,2,17,11,12,1,17,2,12,1,17,1,10,1,11,3,17,1,11,1,12,1,11,2,10,1,12,1,9,3,10,1,9,1,17,1,12,1,17,1,10,1,11,2,9,1,17,1,9,1,17,4,12,1,17,4,10,1,11,2,17,1,12,1,9,1,17,1,9,1,12,1,17,2,12,1,17,8,12,1,17,8,12,2,9,1,11,1,12,1,10,1,17,1,11,1,12,1,17,1,11,2,9,1,17,1,12,1,10,1,11,1,9,2,11,1,17,1,11,1,9,2,8,1,7,1,24,1,12,1,24,1,13,1,7,1,8,1,13,2,29,1,6,2,7,1,30,1,29,1,30,2,7,1,6,1,29,1,6,5,13,1,6,1,7,1,13,1,6,1,13,1,8,2,13,2,8,1,13,2,9,1,8,2,13,2,8,2,24,1,9,2,12,1,8,1,9,2,8,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,3,6,1,28,1,6,3,30,1,6,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,6,1,30,2,28,4,30,1,28,2,30,1,28,3,30,1,28,1,30,3,28,18,30,1,28,5,30,1,28,1,30,1,28,7,30,1,28,4,6,1,30,2,28,10,30,1,28,3,30,1,28,2,30,1,28,10,30,4,28,4,30,1,28,1,30,2,28,1,30,2,28,1,30,3,13,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,3,6,1,13,1,10,1,13,1,6,1,13,3,6,3,30,3,28,2,30,3,28,3,30,1,28,1,30,2,28,2,30,1,28,4,30,2,28,7,6,1,28,4,30,1,28,2,6,1,30,2,28,1,6,1,30,1,28,4,30,1,28,1,30,3,28,2,30,1,28,1,6,1,28,1,6,1,30,1,28,7,30,1,28,5,30,1,28,6,30,1,28,6,30,3,28,1,6,2,30,1,6,2,13,2,30,1,29,1,28,6,30,1,28,9,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,13,2,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,6,1,28,5,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,30,2,28,2,30,1,28,1,30,4,6,1,28,1,6,1,29,1,30,1,28,3,30,1,28,29,6,1,30,2,28,6,30,1,28,3,30,1,28,3,30,1,6,1,9,1,13,2,6,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,6,30,2,28,1,30,1,28,2,30,1,28,7,30,1,28,1,30,1,28,4,30,4,28,2,30,3,28,7,30,2,28,1,30,2,28,1,30,2,28,8,30,2,28,10,30,1,28,10,30,1,28,2,30,1,28,20,9,1,17,4,13,1,8,1,9,1,24,2,11,1,17,29,11,1,17,1,12,1,17,1,9,1,17,2,9,1,11,1,10,1,9,1,11,1,9,3,11,1,10,2,9,2,11,1,9,1,11,1,9,2,11,1,13,2,9,3,8,1,25,1,27,1,25,1,27,1,25,2,26,1,27,3,29,1,30,1,29,1,27,1,29,2,30,1,6,2,29,1,30,1,28,2,30,2,28,9,13,1,9,1,16,1,11,1,17,6,11,1,17,9,11,1,7,1,28,2,30,1,28,1,30,1,28,6,13,1,28,24,30,4,28,1,6,2,30,2,28,1,6,1,28,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,4,28,3,30,3,28,1,30,4,6,2,29,1,6,5,13,4,8,2,13,1,9,1,8,1,9,1,8,5,9,2,8,2,9,2,8,1,9,3,8,1,9,1,17,3,11,1,9,2,13,1,7,1,29,1,30,7,28,1,30,5,6,1,30,1,29,1,30,1,28,1,6,1,30,1,6,1,29,1,7,1,29,1,30,1,28,1,30,1,28,3,29,1,6,1,29,1,6,1,28,1,30,5,6,2,13,6,28,1,6,1,7,1,30,1,6,1,30,4,6,1,30,1,13,1,6,1,30,1,28,1,30,4,28,1,30,5,28,2,30,2,6,2,28,1,30,1,6,1,30,2,28,2,6,1,28,1,30,2,28,3,29,1,30,1,28,2,30,2,28,2,29,1,30,1,28,1,30,3,6,1,30,4,6,1,28,2,30,5,29,1,30,1,6,1,13,2,6,2,7,1,13,1,9,1,13,1,9,3,10,1,9,1,10,1,11,1,12,1,11,1,17,1,10,1,8,1,9,1,17,1,8,1,11,1,9,2,8,1,9,1,8,2,13,1,8,1,9,1,8,1,9,2,8,1,11,1,9,2,17,1,10,1,8,1,17,1,9,1,16,1,17,1,10,1,11,1,12,1,11,2,9,1,10,1,9,5,8,1,13,1,7,1,6,3,29,1,30,2,6,1,13,1,6,1,30,1,6,2,30,2,6,1,30,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,30,1,28,2,30,3,29,1,30,4,28,3,30,1,28,46,30,1,6,1,30,3,28,4,30,2,6,1,29,2,6,2,7,3,13,3,8,1,13,1,8,1,9,1,13,2,11,1,8,1,9,1,10,1,9,2,11,2,9,5,8,1,9,1,11,1,10,1,13,1,11,1,10,1,13,1,9,1,10,1,9,4,8,1,9,1,8,1,10,1,11,1,9,1,13,1,9,1,8,1,13,1,9,2,13,2,9,1,8,1,9,1,8,1,13,1,6,1,30,1,28,2,30,1,6,2,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,13,30,3,16,2,17,1,16,2,17,1,11,1,17,2,16,2,11,2,16,2,17,1,11,1,17,2,12,1,17,1,9,1,12,1,11,1,13,1,10,1,9,1,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,8,4,13,1,9,3,13,1,11,1,8,1,11,1,13,1,11,1,9,1,13,1,10,1,13,2,9,1,13,1,9,1,8,2,13,1,8,2,13,1,8,1,9,1,8,4,9,2,10,1,8,1,9,1,8,1,13,7,8,1,13,2,9,1,13,3,7,1,6,1,8,1,13,2,8,1,13,1,8,1,13,6,8,1,13,4,8,1,13,5,9,2,13,1,8,1,13,3,28,3,30,1,28,1,30,5,28,1,30,3,28,1,30,1,28,1,30,2,6,1,29,1,28,1,30,1,28,21,17,2,9,1,13,3,30,1,28,2,7,1,30,1,28,7,30,2,28,3,30,1,13,1,9,1,8,2,9,1,8,1,10,1,16,1,6,1,28,6,13,1,8,1,13,1,28,43,9,1,30,1,28,2,6,1,17,2,11,1,8,1,13,1,29,1,6,1,29,1,13,2,6,1,9,1,11,1,9,1,17,1,8,1,28,5,30,2,29,1,28,11,}, {28,2,30,1,28,2,30,1,8,1,11,1,10,1,28,53,13,1,12,1,11,1,6,2,28,2,6,2,7,1,9,1,10,1,13,1,24,1,9,1,24,1,9,1,11,1,17,7,13,1,7,1,6,4,7,1,29,1,8,1,17,1,9,1,6,1,7,1,6,1,13,1,8,1,16,1,17,5,11,1,8,2,13,1,8,1,13,1,10,3,17,2,12,1,8,1,13,1,6,4,13,1,30,1,28,37,13,1,9,1,7,1,9,2,13,3,29,1,13,1,29,1,13,1,17,5,16,1,17,1,16,1,9,1,8,1,13,1,9,1,13,2,29,1,13,1,6,2,13,1,8,4,9,2,11,1,9,1,17,1,16,1,17,3,11,1,28,16,13,2,10,1,9,1,11,1,9,2,10,3,13,4,7,1,6,1,13,1,7,1,6,1,13,1,30,1,7,1,30,1,7,1,6,1,7,1,29,1,13,2,9,1,8,1,10,1,9,4,11,1,9,1,10,1,9,1,17,7,12,1,11,1,13,2,8,2,13,1,9,1,7,1,6,1,8,1,13,2,8,1,13,2,8,2,9,1,13,1,11,1,9,1,13,1,9,3,11,1,8,1,11,1,10,1,12,1,17,1,12,2,17,1,12,1,17,4,12,2,17,2,11,1,17,3,9,1,12,2,17,1,9,1,11,2,17,2,12,1,17,2,12,1,17,5,12,1,17,2,12,1,17,1,10,1,12,1,17,2,11,1,17,2,12,1,17,1,12,1,17,1,12,1,17,2,12,4,17,2,11,1,17,1,10,1,11,1,12,1,9,1,12,3,17,1,9,1,17,1,9,1,17,2,12,1,11,1,17,1,12,1,17,4,10,1,17,1,11,1,17,1,12,1,11,1,12,1,17,1,12,1,11,1,17,1,12,1,10,1,17,1,12,1,17,1,12,1,11,1,17,3,10,1,17,2,11,1,17,1,12,1,11,1,17,2,12,1,10,1,17,2,10,1,17,2,12,1,10,1,11,1,17,2,10,1,12,1,17,1,11,1,17,2,12,1,17,2,11,1,12,1,11,1,12,1,10,1,17,1,11,1,17,2,11,1,17,1,12,3,10,1,17,2,12,3,17,2,12,1,17,2,12,1,17,10,12,1,17,3,11,1,17,2,12,1,11,1,17,2,12,2,17,3,11,1,17,4,9,1,17,2,9,1,17,3,12,1,17,3,10,1,17,2,12,1,17,2,10,1,12,2,11,1,17,2,12,1,17,1,11,1,17,1,12,2,11,1,12,1,17,1,12,1,10,1,9,1,12,1,11,2,12,1,17,1,11,1,10,1,17,5,12,1,11,1,17,1,12,1,11,3,8,3,24,1,13,1,8,2,17,6,12,2,11,1,10,1,11,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,6,1,13,1,9,1,17,13,12,1,17,1,11,3,17,2,12,1,10,2,9,1,10,1,12,1,17,1,12,1,9,1,10,1,9,1,24,1,10,1,9,2,8,1,13,2,7,1,24,1,8,1,13,1,8,1,13,1,7,1,8,2,13,1,8,3,13,2,8,2,24,1,9,1,13,2,8,1,13,1,8,1,7,2,13,4,7,1,8,1,7,1,13,1,7,1,6,1,7,3,6,2,7,1,30,1,7,1,30,2,13,1,28,1,7,1,30,2,29,1,6,1,13,1,6,2,13,1,28,1,29,1,7,1,6,1,29,2,13,1,6,1,29,1,30,2,6,1,30,1,29,1,30,1,6,1,29,1,7,1,13,2,8,1,13,1,9,1,8,1,9,1,13,2,9,1,29,1,30,1,28,12,30,2,28,3,30,1,28,3,30,3,28,2,30,1,28,2,30,1,28,1,29,1,30,1,29,1,30,2,6,4,29,1,28,1,13,2,30,1,6,1,30,1,7,1,6,3,30,1,29,2,6,1,30,2,6,1,28,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,13,1,9,1,10,1,17,5,12,1,17,8,11,1,17,2,12,1,17,1,12,2,17,2,12,2,11,1,12,2,10,1,12,1,10,1,9,1,12,1,9,2,10,1,9,2,10,1,12,1,9,1,10,1,16,1,12,1,11,1,9,1,12,1,17,2,12,1,17,1,12,1,17,2,11,1,17,1,12,2,11,1,10,2,11,1,17,8,10,1,17,14,12,1,11,2,12,1,17,1,10,1,11,1,10,1,17,2,12,1,17,2,12,1,9,1,17,1,12,3,17,1,10,1,9,3,8,2,9,1,10,1,13,2,24,1,13,1,6,2,29,1,30,2,7,1,29,1,7,1,30,1,6,4,29,1,6,2,7,1,6,1,7,1,30,1,13,1,7,1,13,3,7,1,24,1,13,1,8,4,9,1,8,1,13,1,24,1,8,1,13,1,8,1,10,1,11,1,9,3,6,1,30,5,6,2,30,5,28,1,30,1,6,1,28,1,30,1,6,1,28,1,13,1,28,3,30,1,28,5,30,1,7,1,28,14,30,1,29,1,30,1,28,2,30,2,28,4,30,3,28,1,30,1,28,3,30,1,28,1,30,1,7,1,28,1,30,1,28,1,30,1,28,6,30,1,28,3,30,1,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,13,30,1,28,1,30,1,28,7,30,1,28,1,30,4,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,2,28,1,29,1,13,1,8,1,30,10,28,2,30,2,28,4,30,1,28,1,30,2,28,2,17,1,9,1,13,1,7,1,6,3,30,1,29,1,28,4,30,2,28,1,30,2,28,2,30,2,28,4,30,1,28,3,30,1,28,1,6,1,28,2,30,1,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,2,6,1,28,5,30,1,28,2,30,1,28,2,30,1,28,1,30,3,28,2,30,1,28,2,6,2,28,1,30,1,28,3,30,1,28,10,30,1,28,2,30,1,6,1,28,6,30,2,28,1,30,1,28,1,6,1,30,1,28,1,30,1,13,3,6,1,28,3,30,1,28,3,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,13,1,30,1,28,1,29,1,28,1,30,5,28,7,6,1,30,1,28,1,6,1,28,1,30,2,28,1,6,1,30,2,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,4,28,2,30,2,28,3,30,1,28,2,30,2,28,5,29,1,28,1,30,1,28,5,30,1,28,1,30,1,28,12,30,1,28,11,30,1,28,4,30,2,28,1,30,2,28,3,30,1,28,4,30,1,7,1,6,1,13,2,6,3,28,3,30,1,28,4,29,1,28,1,30,1,28,6,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,4,30,1,28,1,30,3,28,1,30,1,28,2,6,1,28,1,6,1,30,1,28,2,30,2,28,3,30,1,28,6,6,1,30,1,28,2,30,1,28,6,30,2,28,4,30,1,28,10,30,1,28,1,30,1,28,12,30,2,28,1,30,1,28,7,30,2,28,1,6,1,9,1,17,4,9,1,24,1,12,1,8,1,9,1,17,31,12,1,17,2,12,1,17,1,11,2,12,1,9,3,11,1,9,2,8,1,9,1,10,1,8,1,9,1,10,1,9,1,8,1,9,5,8,1,9,2,24,1,8,1,29,1,27,2,25,3,27,1,26,1,29,1,30,1,29,1,30,1,6,1,30,1,29,1,28,1,6,2,30,1,28,2,30,1,6,1,28,10,13,1,9,2,17,7,11,2,17,9,9,1,6,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,17,30,1,28,4,30,1,28,6,30,2,28,1,30,1,28,1,30,1,28,1,29,1,6,1,28,1,6,1,30,2,29,1,30,2,28,1,29,1,30,1,29,1,30,1,28,2,6,1,30,2,6,2,30,1,7,1,29,1,28,1,29,1,6,1,30,1,8,1,6,1,13,3,8,1,13,1,8,1,13,1,8,1,9,1,8,2,13,1,9,4,8,1,9,2,13,2,9,1,11,1,13,1,9,1,13,1,10,1,17,2,9,2,13,4,30,2,28,2,6,1,28,1,30,3,6,1,30,2,28,1,30,2,28,1,30,3,6,1,28,2,29,2,30,2,6,4,30,2,13,1,28,1,30,1,29,1,30,2,28,1,30,2,6,1,8,1,13,2,6,1,13,1,6,7,30,1,6,1,28,1,7,1,6,1,30,1,6,1,13,1,29,1,30,3,28,1,30,2,28,1,29,1,28,1,30,2,29,1,28,1,7,1,6,1,13,1,28,1,6,1,28,2,6,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,28,2,30,9,28,1,30,4,6,1,30,1,6,1,29,1,30,2,6,3,30,1,6,3,13,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,8,1,11,1,12,1,17,1,12,1,9,3,10,1,9,3,13,1,9,3,8,1,13,1,8,2,13,1,9,6,11,1,10,1,9,1,11,1,12,1,9,2,11,1,16,1,10,2,9,1,11,1,9,5,8,1,13,2,6,2,7,1,13,1,29,2,6,1,7,1,6,2,7,1,6,1,28,1,30,1,6,1,29,1,30,2,6,1,30,4,7,1,30,1,6,1,28,3,30,1,28,1,6,1,28,1,30,2,28,1,29,1,30,1,28,1,30,3,28,1,30,1,28,1,6,1,30,1,28,35,30,1,28,15,30,1,28,2,29,2,30,1,6,2,28,1,7,1,6,2,13,1,6,1,13,2,7,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,11,1,9,1,11,2,16,1,10,1,9,2,10,2,9,1,8,1,11,1,9,1,8,1,11,1,9,1,10,1,9,1,13,1,9,2,8,1,9,2,10,1,8,1,9,3,13,1,8,1,10,1,13,1,9,1,8,1,10,1,9,4,10,1,9,1,8,1,13,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,2,30,3,28,2,6,1,11,1,17,6,16,1,17,3,16,1,17,1,16,1,17,1,16,1,11,1,12,1,16,1,11,1,16,1,9,1,11,2,9,1,16,1,11,1,9,1,11,1,10,1,9,1,8,1,9,1,12,1,10,1,9,1,12,1,9,3,12,1,13,1,9,3,11,1,9,1,13,1,9,1,8,1,9,4,8,1,9,6,8,1,9,4,8,2,9,2,13,1,9,1,13,1,9,3,13,1,8,2,10,1,13,3,8,1,13,1,8,1,13,1,7,1,6,1,13,3,8,1,13,3,7,1,13,1,8,2,13,1,7,1,6,1,13,2,8,1,13,3,8,1,13,4,8,1,13,4,8,1,9,1,13,3,28,4,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,19,14,1,17,1,9,1,13,3,28,1,6,3,28,7,30,3,6,1,30,1,29,1,30,1,7,1,9,2,13,1,8,1,9,1,16,1,11,1,6,1,30,1,28,4,30,1,7,1,13,1,30,1,28,42,29,1,6,1,28,3,7,1,17,2,11,1,9,1,13,1,6,1,30,1,6,1,13,1,30,1,8,1,9,2,17,2,6,1,28,6,30,1,28,12,}, {29,1,6,1,28,1,30,2,28,1,8,1,12,2,28,26,30,1,28,26,13,1,9,1,16,1,6,1,28,1,30,1,28,3,13,1,12,1,9,1,6,2,13,1,10,1,16,1,17,1,11,1,17,6,10,1,13,1,6,1,7,1,30,1,29,1,30,2,24,1,17,1,8,1,6,1,7,1,13,1,8,2,16,1,17,4,12,1,8,1,9,2,8,1,9,1,8,2,10,1,11,1,17,2,8,1,13,1,7,1,30,1,6,2,30,1,8,1,28,38,7,1,13,1,9,1,10,1,8,1,13,1,28,1,7,1,30,1,7,2,13,1,11,1,17,4,16,2,9,2,8,3,13,1,6,1,13,1,6,1,28,1,6,1,8,1,13,2,8,1,13,1,9,2,10,2,16,1,17,4,10,1,28,17,13,1,17,1,10,1,9,2,11,1,9,2,8,1,9,1,13,1,6,1,7,2,13,1,6,1,13,1,6,2,8,1,7,2,6,3,7,1,13,3,8,2,9,1,10,1,12,1,11,1,17,1,10,1,11,1,17,1,9,1,11,1,17,1,11,1,9,1,16,1,17,3,9,1,13,1,8,1,13,2,8,1,7,1,13,1,8,1,13,2,8,1,13,1,8,1,10,1,13,1,9,1,8,3,9,1,13,1,9,1,8,1,9,1,13,1,9,2,17,2,12,3,17,6,12,4,17,3,12,1,17,1,11,1,17,5,11,1,17,2,9,1,17,1,10,1,17,1,11,1,12,1,17,1,12,2,17,1,10,1,12,2,11,2,17,1,12,1,17,2,11,1,17,1,12,2,10,1,12,2,17,4,11,1,12,1,17,1,12,1,11,1,17,1,12,1,11,1,17,1,12,1,11,2,10,1,17,2,10,1,11,2,17,1,9,2,10,1,17,1,9,1,17,1,11,1,9,1,12,1,17,2,12,1,17,1,12,2,11,2,17,6,12,1,17,1,12,2,17,2,12,1,17,1,12,1,17,4,10,1,17,2,11,1,17,1,8,1,10,1,12,2,9,1,17,1,9,1,17,1,12,1,17,1,12,1,11,1,17,1,10,1,12,2,17,2,12,1,10,1,17,1,12,1,11,1,9,1,10,1,11,3,12,2,17,1,12,5,10,1,9,1,17,6,12,1,17,4,12,1,17,2,12,2,11,1,12,1,17,2,11,1,12,1,17,7,12,1,17,4,12,2,17,1,11,1,17,2,12,1,17,7,11,1,17,1,11,1,17,1,10,1,12,1,11,1,12,1,10,1,12,1,17,4,11,1,12,1,17,1,12,1,10,1,12,3,10,1,17,2,9,1,12,1,17,8,10,1,12,2,10,1,11,1,9,1,8,1,13,1,8,1,13,1,7,1,8,2,9,1,17,8,9,1,10,1,9,5,11,1,8,1,11,1,9,1,11,1,12,1,17,11,12,1,17,2,12,1,11,1,17,1,12,1,10,1,17,1,12,1,9,2,12,1,17,1,11,1,12,1,17,1,9,2,11,1,24,2,8,1,13,1,8,2,10,1,24,1,13,1,8,3,13,3,8,1,7,2,8,1,13,2,6,1,24,1,7,1,13,1,7,1,8,2,24,1,8,1,13,1,24,1,13,1,8,1,7,1,9,1,6,1,13,1,8,1,13,1,7,1,13,3,7,2,6,1,7,1,13,1,6,1,13,1,6,1,13,1,6,2,13,2,7,1,13,1,8,2,13,2,29,1,13,1,29,1,7,1,30,1,6,1,28,1,30,1,13,1,28,1,29,1,6,5,13,1,7,1,29,1,13,1,8,1,9,1,10,1,9,2,12,1,10,1,8,1,9,1,17,1,29,1,28,1,30,2,28,1,30,1,28,7,30,2,28,5,30,1,28,11,30,3,6,2,29,1,30,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,13,1,30,1,6,1,30,1,6,1,30,2,28,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,2,8,1,9,1,10,1,12,1,17,1,12,5,17,1,11,1,17,13,12,1,17,1,11,2,12,1,11,2,9,1,12,1,9,2,11,1,9,2,11,1,8,1,17,1,16,1,10,1,9,1,8,1,9,1,10,1,11,2,17,1,12,1,17,1,10,1,17,2,12,1,11,1,17,1,10,1,12,1,10,1,11,1,9,1,12,1,11,1,17,1,12,1,11,2,10,1,17,17,11,1,10,3,17,1,12,1,9,1,11,2,17,3,9,1,17,2,12,1,9,1,12,1,11,1,17,1,12,1,9,1,10,1,11,1,9,2,10,1,9,1,7,1,24,1,6,1,8,1,6,1,29,2,6,3,29,3,6,1,30,2,6,4,13,1,6,1,7,1,6,1,13,1,7,2,6,1,8,1,13,1,24,1,8,2,13,2,8,3,13,1,24,1,13,1,9,5,11,1,9,1,30,1,28,1,29,1,28,1,30,8,29,1,30,1,6,1,30,2,6,1,30,1,13,1,30,2,28,1,29,1,30,2,28,2,30,2,6,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,6,2,28,6,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,3,7,1,30,4,28,7,30,1,28,1,30,1,28,5,6,1,28,1,30,1,28,11,30,1,28,4,30,1,28,5,30,1,28,3,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,1,9,1,30,1,28,1,30,5,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,2,28,8,11,1,8,1,13,1,30,2,6,1,30,1,28,3,30,1,28,1,30,2,28,6,30,2,28,6,30,2,28,1,30,1,6,1,28,2,30,1,28,2,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,3,28,1,30,2,28,1,29,1,28,3,7,1,28,3,30,1,28,1,30,2,28,12,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,13,4,30,2,28,4,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,3,28,1,30,1,29,1,30,1,28,2,9,1,13,1,28,4,30,2,28,1,30,1,28,1,6,1,30,2,28,2,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,8,30,1,28,8,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,3,29,1,28,2,30,2,28,21,30,1,28,1,30,3,28,2,30,2,28,2,30,1,28,2,30,1,28,3,30,2,6,1,13,1,8,1,6,4,28,6,30,2,28,7,30,1,28,7,6,1,28,1,6,1,28,3,30,1,28,2,30,3,28,2,30,1,28,4,29,1,6,1,30,2,6,1,28,2,30,1,28,4,30,2,28,2,30,2,28,4,30,1,28,5,30,1,28,2,6,1,30,1,28,3,30,1,28,14,30,3,28,1,30,1,28,14,30,1,28,6,30,1,11,1,17,5,10,1,12,1,10,1,9,1,17,19,16,1,11,1,17,7,16,1,12,1,17,5,11,1,17,1,9,3,7,1,13,1,9,1,13,1,9,1,13,1,11,2,8,1,9,1,17,1,9,4,11,1,9,1,13,1,8,1,9,2,24,1,8,1,30,1,8,1,27,1,24,1,25,2,27,1,25,1,27,1,29,1,30,1,29,1,6,3,29,1,6,1,29,1,30,1,29,2,30,1,28,10,30,1,6,1,9,1,16,1,17,1,11,1,17,17,13,1,30,1,28,1,30,3,28,5,6,1,28,9,30,1,28,14,30,1,28,1,30,1,28,1,30,1,28,2,29,1,30,2,6,2,30,1,28,1,30,1,6,1,29,1,6,2,30,2,28,6,30,2,28,1,29,1,28,1,30,2,29,1,30,2,6,1,8,1,7,2,13,2,28,1,13,6,8,2,6,1,13,2,9,1,8,3,9,1,8,3,9,1,10,1,9,2,8,1,9,2,10,1,17,2,11,2,13,3,6,1,30,5,28,1,30,3,28,1,30,1,29,1,28,3,29,1,30,4,28,1,6,1,30,6,6,2,30,1,6,2,30,1,6,2,28,1,30,2,13,1,6,1,13,4,6,1,7,1,13,1,30,1,29,2,6,1,30,3,7,1,6,1,7,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,6,1,28,1,30,1,29,1,30,5,6,1,13,1,30,4,28,1,30,5,28,2,30,1,28,4,30,1,28,1,30,5,6,1,29,1,30,1,29,1,30,1,29,1,30,1,6,1,30,2,28,1,6,1,29,1,28,1,30,3,29,1,30,1,6,1,7,1,6,2,30,1,6,1,8,2,9,1,8,1,9,3,10,1,9,1,11,1,12,2,9,1,10,1,9,1,13,2,9,1,13,2,8,1,9,1,13,1,9,2,13,1,9,2,8,1,11,1,8,1,10,1,8,1,12,1,9,3,11,2,16,1,10,1,11,2,9,1,12,1,9,1,10,2,9,1,13,4,8,1,7,1,13,2,29,1,6,1,29,1,6,1,30,1,6,1,29,1,7,1,30,1,13,1,28,1,6,2,29,1,7,1,6,3,28,1,29,1,7,1,28,1,6,1,28,1,6,1,28,2,30,2,28,2,30,3,28,1,30,3,28,1,30,1,28,13,30,1,28,34,30,1,28,10,30,1,28,1,30,1,13,1,30,2,6,1,7,1,6,1,7,1,13,1,6,1,13,3,7,1,13,2,8,2,9,3,11,1,9,2,16,1,9,3,11,1,9,2,11,1,9,1,17,1,11,1,10,1,9,2,10,1,9,2,12,1,11,1,9,1,10,1,9,3,8,5,9,2,13,1,8,2,13,2,9,2,8,1,9,2,13,2,9,1,6,1,28,1,30,4,28,1,30,1,28,3,30,5,28,1,30,2,28,5,30,4,28,1,13,1,11,1,17,5,16,1,17,1,10,1,17,1,11,1,17,3,16,1,17,1,11,1,12,1,17,2,11,1,16,1,11,2,10,1,16,1,9,1,11,1,10,1,11,1,12,1,9,1,11,1,8,1,11,1,9,1,11,2,9,1,11,1,10,1,9,1,16,1,11,1,8,1,10,1,9,1,12,1,16,1,11,2,9,1,8,1,9,3,8,1,9,4,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,10,1,9,1,10,1,13,2,8,1,13,1,8,2,13,1,8,3,13,1,8,2,13,14,7,1,13,5,8,1,13,1,7,1,13,3,6,1,13,1,9,1,13,2,9,1,8,2,13,1,8,1,13,1,28,3,30,1,28,5,30,1,28,3,30,1,28,3,30,4,28,1,30,1,28,1,30,2,28,18,14,1,17,1,9,1,13,2,6,1,28,3,30,1,29,2,28,5,30,1,28,3,29,1,28,1,6,1,13,1,11,1,13,2,9,1,11,1,16,2,30,1,28,5,30,1,13,1,7,1,29,1,28,42,29,1,7,1,30,1,7,1,28,1,7,1,17,2,11,1,9,1,13,1,6,1,30,1,7,1,6,1,7,1,13,1,8,1,9,1,17,2,9,1,28,6,6,1,30,1,28,11,}, {28,1,30,1,28,1,30,1,28,2,8,1,12,2,28,53,30,1,9,1,12,1,8,1,30,1,29,1,28,3,13,1,12,1,9,1,13,1,7,2,9,1,12,1,17,1,10,1,17,5,11,1,8,1,9,1,6,3,30,1,29,1,6,1,8,1,11,1,9,1,29,1,6,1,13,1,7,1,13,1,9,1,17,5,13,1,8,2,13,1,9,4,12,1,17,2,9,1,13,1,7,1,13,1,6,3,29,2,28,37,6,1,8,2,17,1,24,1,13,1,6,1,13,1,6,1,29,1,6,1,13,1,9,1,17,6,11,1,9,2,6,1,13,2,7,2,13,2,8,1,13,2,8,1,13,1,9,1,8,2,9,1,12,1,16,1,11,1,17,3,9,1,28,17,6,1,17,1,11,1,17,1,11,1,9,2,13,1,8,1,13,7,7,1,13,1,7,1,13,1,7,1,13,1,8,1,7,2,13,1,8,1,13,1,9,2,8,1,10,1,17,1,11,1,17,1,12,1,11,1,9,1,11,1,10,1,9,2,8,1,11,1,9,1,11,1,17,4,10,1,9,2,13,1,7,2,13,1,8,1,6,1,13,4,8,1,13,1,7,1,13,1,6,1,13,1,7,1,6,1,9,2,10,1,8,1,10,2,17,8,12,1,9,1,11,2,12,1,17,1,10,1,17,3,12,1,17,1,12,1,17,2,11,1,17,5,12,1,17,1,12,3,11,1,9,1,17,1,8,1,17,1,12,1,17,1,9,2,11,2,17,4,10,1,17,1,12,1,17,1,12,1,11,3,17,1,12,1,17,1,12,3,10,1,12,1,11,1,17,1,12,1,17,1,9,1,11,1,9,1,12,1,9,1,17,1,11,2,17,1,12,1,17,1,11,2,12,2,17,1,9,1,17,1,11,1,17,1,12,1,17,3,11,1,17,1,12,1,17,3,12,1,11,1,17,1,12,1,11,1,17,1,9,1,10,1,12,1,17,1,9,1,17,1,12,2,17,5,12,2,17,1,12,1,11,1,12,1,17,1,12,3,17,1,12,4,17,1,12,3,17,1,10,1,9,1,17,1,12,1,11,2,12,2,11,1,10,1,17,1,11,1,12,1,17,2,12,1,17,3,12,1,17,16,12,3,17,2,10,1,11,1,17,1,12,1,17,4,12,1,17,1,12,2,10,1,12,1,9,1,10,1,12,2,17,4,11,1,17,1,12,1,9,1,17,1,12,2,17,1,11,2,9,1,17,1,12,1,10,1,17,1,12,2,17,1,12,1,10,1,17,1,12,3,10,1,12,2,10,1,11,1,10,2,17,1,10,1,12,1,17,1,12,1,11,1,12,1,9,2,10,1,9,1,12,1,10,1,7,1,24,1,13,2,7,1,6,1,13,2,12,1,11,1,12,1,17,4,11,1,12,1,10,2,9,2,8,1,9,2,10,1,9,1,12,1,11,1,17,14,12,1,17,1,11,2,17,2,10,3,12,1,9,1,12,2,11,1,12,1,10,1,8,1,24,3,10,2,13,1,8,3,13,1,8,1,13,2,8,1,6,1,8,1,13,1,8,1,13,1,6,1,8,1,13,1,7,1,8,1,7,1,13,1,7,1,13,1,8,1,12,1,13,3,8,1,13,2,8,1,6,1,13,1,7,1,13,2,7,1,6,1,29,1,13,2,6,1,8,1,7,1,13,1,6,1,7,1,6,1,7,1,13,2,7,1,13,1,6,3,13,1,6,1,13,4,29,1,6,3,29,1,6,1,29,1,6,1,30,1,6,2,7,1,6,2,7,1,9,1,12,1,9,1,8,1,9,2,7,1,13,3,9,2,30,2,28,19,6,1,28,1,30,2,28,6,30,2,29,1,7,1,30,1,6,1,29,1,30,1,29,1,7,1,6,3,30,4,13,1,6,1,30,3,29,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,2,8,1,9,1,11,2,17,2,12,1,17,3,12,1,11,1,17,1,11,1,17,5,11,1,17,7,12,1,17,1,10,1,11,2,12,2,11,2,10,2,11,3,8,1,17,1,10,1,11,1,9,1,11,1,9,1,11,2,17,3,11,1,10,1,9,1,10,1,9,1,11,1,9,1,12,1,10,1,9,1,12,1,10,1,9,1,17,1,11,1,17,1,12,1,17,1,12,2,17,2,11,1,12,1,17,12,11,1,9,1,11,1,10,1,11,2,17,1,12,3,17,3,9,1,17,1,10,1,17,1,12,1,10,1,9,3,10,1,9,1,10,3,9,1,13,1,8,1,13,2,6,1,30,1,6,2,29,3,6,1,30,1,29,2,6,4,30,2,6,1,7,3,6,1,7,1,24,1,7,1,13,1,9,1,8,1,24,1,13,1,8,1,24,1,13,1,8,2,13,3,9,1,10,2,9,2,8,1,30,1,28,1,30,1,28,1,29,1,30,1,6,1,30,2,6,1,30,3,29,2,30,1,29,1,30,1,6,1,13,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,7,1,13,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,6,1,30,2,28,9,30,1,28,1,30,1,6,2,28,2,30,1,28,2,30,3,6,1,30,2,28,2,30,1,28,1,30,3,6,2,28,11,30,2,28,3,30,2,28,6,30,2,28,2,30,1,28,1,30,1,28,8,30,1,28,1,6,1,30,1,28,2,30,1,28,7,30,1,28,5,11,1,6,1,30,3,28,2,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,2,6,1,11,2,30,4,28,2,30,2,28,2,30,1,28,1,30,2,28,3,30,1,6,1,30,2,28,1,30,1,28,1,30,2,28,3,30,2,28,5,30,1,28,2,30,2,28,4,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,5,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,6,30,1,28,1,29,1,30,2,28,5,6,1,30,1,28,4,30,1,28,1,30,1,10,1,13,1,30,2,28,1,30,2,28,9,30,1,28,4,30,5,28,1,30,1,28,1,29,1,9,1,28,2,6,1,28,1,30,3,6,1,30,1,28,1,30,1,28,3,30,3,28,2,30,5,28,1,30,1,28,2,30,1,6,1,28,2,6,1,28,2,30,1,28,1,30,1,28,2,30,3,28,1,30,1,6,1,28,5,30,1,28,4,30,3,28,2,30,1,28,8,30,2,28,9,30,1,6,1,28,2,30,1,28,8,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,6,4,13,2,6,2,30,1,28,6,30,1,6,1,30,1,28,11,30,1,28,1,30,1,28,2,30,3,28,3,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,2,28,2,13,1,28,13,30,2,6,1,28,8,30,1,13,1,6,1,30,1,29,1,6,1,30,1,28,18,30,1,28,2,30,1,28,2,30,1,28,7,30,1,28,2,30,1,28,4,30,1,28,1,16,1,17,5,9,1,10,1,8,1,9,1,17,34,11,3,17,1,9,2,11,1,9,1,8,2,9,1,8,1,9,2,8,1,9,1,11,1,9,1,8,1,9,3,8,3,13,1,9,1,10,1,25,1,27,3,25,2,8,1,29,1,26,1,29,1,27,1,30,1,29,1,27,1,6,1,29,2,6,2,7,1,30,1,28,1,30,1,28,11,6,1,10,1,11,1,17,1,11,1,16,1,17,16,11,1,13,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,16,29,1,28,5,30,1,28,7,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,3,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,29,1,6,1,30,1,6,1,30,1,6,2,29,1,28,1,30,1,13,2,6,1,13,1,29,1,13,1,6,2,8,1,13,3,8,2,9,1,8,1,9,3,10,1,8,1,9,1,8,1,9,1,11,1,13,2,9,2,13,1,9,1,17,3,9,1,13,1,8,2,30,1,13,1,30,3,28,3,30,1,28,1,30,2,28,2,30,3,28,1,30,2,6,1,30,1,6,1,28,1,6,1,30,1,29,1,30,1,6,1,30,2,29,1,6,1,28,4,6,1,29,1,6,1,9,1,13,2,7,1,13,1,30,1,13,2,29,1,6,2,29,1,6,1,30,1,6,1,28,1,30,1,6,1,30,2,6,2,30,2,28,1,6,1,30,1,28,2,30,5,28,1,30,1,6,1,7,1,28,1,29,1,6,1,28,1,6,1,28,1,30,3,28,1,6,1,28,2,30,3,28,1,30,1,28,2,30,5,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,5,29,2,6,2,13,1,6,1,30,1,6,1,29,1,7,1,8,1,13,1,9,1,8,1,10,1,8,1,9,1,13,1,17,1,11,1,12,1,9,1,11,1,17,1,9,2,8,3,9,1,8,1,13,2,9,1,13,1,9,2,8,1,9,1,10,1,9,2,11,1,9,1,11,1,12,1,11,1,10,1,11,1,10,1,12,2,10,1,11,1,17,1,9,1,10,1,9,1,8,1,9,1,13,1,11,1,13,5,30,1,6,2,29,1,6,5,29,2,6,1,30,2,6,1,30,2,29,1,28,1,6,1,29,1,28,2,30,2,29,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,65,30,2,29,2,6,1,28,1,6,1,13,1,7,1,6,2,13,1,6,1,13,3,8,2,9,5,11,1,9,2,11,2,9,2,16,1,11,3,9,1,11,1,9,2,10,1,8,1,9,1,11,1,8,1,9,6,8,1,9,3,8,1,9,1,13,1,8,3,9,3,8,1,9,4,8,1,9,1,13,4,28,4,30,1,28,4,30,3,6,1,28,5,30,1,28,2,30,2,28,1,13,1,17,1,16,1,17,11,12,1,17,2,12,1,16,1,17,1,11,3,16,1,11,1,16,1,11,1,17,1,10,1,12,1,9,3,10,1,16,1,10,1,9,1,12,1,11,1,12,1,10,1,11,1,16,1,11,2,10,1,11,1,8,1,11,2,9,4,8,1,9,3,8,1,9,4,11,1,9,1,8,3,9,1,8,1,13,1,9,2,8,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,3,13,2,7,1,8,1,13,14,8,1,13,3,7,1,13,2,8,2,13,1,8,1,13,5,8,1,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,19,6,1,17,2,13,1,9,1,7,1,13,1,29,1,6,1,30,1,13,1,28,9,30,1,28,4,8,1,9,1,13,2,11,1,16,1,11,1,17,1,6,1,28,6,11,1,13,1,30,1,28,43,6,1,28,3,7,1,17,3,9,1,13,1,6,2,30,1,6,2,30,1,8,1,12,1,17,2,9,1,28,6,7,1,28,12,}, {6,1,30,1,29,1,28,3,13,1,17,1,9,1,6,1,28,52,13,1,8,1,9,1,7,1,6,1,30,1,28,2,30,1,7,1,9,1,17,1,13,1,30,1,7,1,9,2,17,7,10,1,9,2,13,1,28,2,6,1,30,1,29,1,8,1,10,1,9,1,29,1,6,2,13,2,12,1,17,5,9,1,8,1,10,1,9,1,8,1,9,1,13,1,9,1,17,3,16,1,13,2,6,3,13,1,9,1,29,1,28,38,6,1,13,1,17,1,9,1,13,1,28,1,13,1,7,1,30,1,6,1,13,1,12,1,17,7,9,2,13,1,8,2,13,2,7,1,8,1,13,2,8,1,13,1,7,1,13,1,8,2,9,1,13,1,11,1,17,4,11,1,28,17,6,1,11,1,17,1,11,2,9,3,6,1,8,2,13,4,8,2,7,1,13,2,7,1,13,4,9,1,13,1,9,1,13,1,8,1,9,1,11,2,9,1,11,1,10,1,9,1,8,1,9,9,17,4,12,1,11,1,9,1,7,1,6,2,13,1,8,1,13,3,11,2,13,1,9,1,8,1,9,1,8,1,9,1,8,1,13,2,8,1,9,1,11,1,10,1,11,1,10,1,12,1,11,1,17,2,12,1,17,5,12,2,17,1,9,1,17,2,11,1,12,2,17,2,12,1,10,1,17,2,12,1,17,3,11,1,17,2,11,1,12,1,11,1,10,2,9,1,10,1,12,2,11,1,17,1,10,1,17,1,12,1,17,3,11,1,9,1,12,1,17,1,11,1,17,1,9,1,12,1,11,1,12,1,17,1,11,1,9,1,11,1,12,1,17,1,11,1,9,2,17,1,9,3,12,2,9,2,12,1,11,1,12,1,10,2,11,1,12,2,9,1,17,1,10,1,11,1,12,1,11,2,12,1,17,1,12,1,17,5,12,3,10,2,17,1,12,1,17,1,10,1,17,2,12,1,17,1,12,1,17,1,10,1,17,1,11,1,17,1,10,1,12,1,17,1,12,1,17,4,12,1,17,1,12,2,17,1,12,2,17,1,11,1,12,2,17,1,10,1,12,1,17,3,11,1,17,1,11,1,17,1,12,3,17,1,11,1,12,1,17,4,12,1,17,2,12,2,17,1,12,1,17,7,11,1,17,1,10,1,12,1,17,3,12,2,17,1,12,3,17,1,12,1,17,2,12,1,10,1,17,3,12,1,17,5,11,1,17,1,11,1,17,4,12,1,17,3,12,2,10,1,17,1,10,1,11,1,10,2,9,1,12,2,9,1,12,1,9,1,24,1,11,1,24,1,10,1,11,1,10,1,11,1,9,1,11,1,9,1,11,1,12,1,24,1,11,1,24,1,11,1,24,1,9,2,13,2,7,1,13,1,6,1,7,1,13,2,8,1,12,1,17,5,11,1,17,1,11,1,10,1,8,1,9,1,8,2,10,2,12,1,17,14,12,1,17,3,12,1,11,1,17,2,11,1,9,1,11,2,12,3,10,2,12,1,9,3,8,1,9,1,8,1,9,1,8,1,7,1,13,4,7,1,8,1,13,1,29,1,13,1,6,1,13,1,8,1,13,1,8,1,13,1,7,2,24,1,6,1,8,2,13,1,8,1,13,9,6,1,7,1,6,1,7,1,13,1,7,1,13,1,8,1,7,1,6,1,13,2,7,1,13,2,6,2,13,1,29,1,6,1,7,1,29,1,6,2,7,1,6,1,7,2,13,2,6,1,30,1,29,1,6,1,7,1,6,2,29,1,7,1,13,1,6,1,13,1,7,1,9,1,17,1,10,1,6,2,7,1,6,3,29,1,7,1,13,1,29,1,28,1,30,1,28,5,30,1,28,7,30,1,28,6,30,2,28,1,30,1,28,1,30,7,6,2,29,1,28,1,6,3,29,3,30,2,6,1,13,1,6,1,30,1,28,1,30,4,28,5,29,1,30,2,28,2,30,1,28,2,30,1,28,1,30,3,29,1,13,1,9,1,11,1,10,1,11,1,17,1,12,1,10,1,17,2,12,1,11,1,17,2,11,1,17,14,9,1,11,1,10,1,11,4,12,1,17,1,12,2,10,1,9,2,10,1,12,1,11,1,17,1,12,1,17,6,10,1,11,1,17,1,9,1,12,1,17,1,12,1,11,1,17,1,11,1,10,1,12,1,11,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,11,1,17,2,12,1,17,11,9,1,17,1,9,1,12,2,17,1,11,1,17,3,12,1,17,4,9,1,11,1,10,1,12,1,9,1,10,1,11,1,8,1,24,3,10,1,13,1,8,1,13,2,6,1,13,1,6,2,30,1,7,1,30,3,6,1,29,1,30,1,29,3,6,4,7,2,8,1,13,1,7,1,13,4,9,1,13,1,8,1,24,1,8,1,9,1,24,1,13,1,9,1,8,1,24,1,9,1,11,1,10,1,8,1,9,1,13,1,28,1,6,1,28,1,29,1,6,1,30,4,28,1,30,2,28,1,30,4,6,2,13,1,30,4,28,5,13,1,6,1,28,3,30,3,28,1,30,1,6,1,29,1,28,1,30,2,28,1,30,1,28,3,30,1,28,3,30,1,28,3,6,1,30,2,28,2,30,1,7,2,13,1,30,1,28,8,30,1,28,1,30,2,28,11,13,1,28,3,30,1,28,14,30,1,28,8,30,2,28,2,30,1,28,4,30,1,28,2,30,1,28,1,6,3,8,1,13,2,30,2,28,1,30,1,28,1,6,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,2,28,1,30,1,28,4,30,1,13,1,11,1,8,1,13,1,6,1,30,1,28,1,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,1,6,1,28,4,30,2,28,1,30,3,28,3,30,1,28,2,30,1,28,5,30,1,28,2,30,3,28,2,30,1,28,1,30,3,6,1,28,1,30,3,28,1,30,1,28,2,30,2,28,2,30,2,28,3,30,2,28,4,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,4,30,1,28,2,30,1,28,4,8,1,9,1,13,1,6,2,28,2,30,1,28,4,30,5,28,2,30,7,28,3,6,1,13,1,6,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,3,6,1,28,3,30,3,28,1,30,2,28,2,30,2,28,9,30,2,28,3,30,2,28,1,30,4,28,1,30,1,28,7,30,1,28,1,30,4,28,11,30,1,28,2,30,1,28,1,6,1,9,1,13,1,6,1,30,1,28,2,29,1,28,12,30,1,28,2,30,2,28,1,30,2,28,5,30,2,6,2,13,2,6,3,28,4,30,1,28,4,30,1,28,4,30,1,28,2,30,1,28,4,30,1,28,6,30,1,28,4,30,2,28,3,30,1,28,2,30,1,28,2,30,2,28,2,13,1,6,1,28,4,30,1,28,6,30,1,28,9,13,1,30,2,29,1,28,2,30,1,13,1,30,1,28,17,30,1,28,1,6,1,28,14,30,1,28,7,9,1,17,5,8,1,11,1,24,1,12,1,17,19,16,1,17,17,12,1,17,1,11,1,8,1,9,3,8,2,9,14,10,1,8,2,27,1,26,1,27,1,25,2,26,3,27,1,29,2,30,1,27,1,25,1,27,1,28,1,8,1,6,1,30,4,28,10,30,1,28,1,9,1,11,1,17,2,11,1,17,17,9,1,13,1,30,5,28,1,30,2,28,1,30,1,28,10,30,2,28,10,30,1,28,8,30,2,28,1,30,1,28,1,30,9,28,1,30,1,6,1,28,2,30,1,28,2,30,2,28,1,6,1,30,1,6,1,7,1,28,1,7,1,30,1,13,1,6,2,13,1,6,1,13,1,6,1,13,5,8,1,13,1,8,1,13,1,9,2,13,1,9,2,8,1,9,2,11,2,9,1,13,1,8,2,9,2,17,2,12,1,8,1,13,1,8,1,13,2,29,1,28,1,30,5,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,29,2,30,1,6,2,30,1,6,1,30,1,6,2,13,1,30,1,7,1,6,2,30,1,6,1,30,2,6,1,13,4,8,1,7,1,6,2,13,1,6,2,30,3,6,1,29,1,6,1,30,1,29,1,30,3,28,1,6,1,28,3,30,3,29,1,28,3,6,1,30,1,6,2,28,2,30,6,6,2,28,1,30,1,28,3,30,4,28,3,30,3,29,1,6,1,28,1,30,2,28,1,30,4,28,2,30,3,29,1,30,2,6,1,29,2,6,4,7,1,8,2,9,1,12,1,11,5,17,1,8,2,9,1,10,1,9,2,8,1,9,1,13,2,8,1,9,1,13,1,9,1,13,1,9,2,16,1,9,1,11,1,12,1,10,1,9,3,10,1,9,1,10,1,11,1,8,1,9,1,11,1,9,1,8,2,24,1,7,1,8,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,30,1,6,1,7,1,28,1,6,1,7,1,30,1,6,2,30,1,28,1,29,1,6,1,30,2,29,1,28,1,30,1,29,1,28,2,30,1,29,2,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,66,30,1,28,1,30,5,6,3,7,1,13,1,6,1,13,1,7,1,13,3,8,1,13,1,8,1,9,1,8,2,10,1,9,1,11,1,12,1,10,1,9,1,16,1,10,1,16,1,11,3,9,3,10,1,9,5,8,1,10,1,9,3,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,10,1,8,2,9,6,8,1,9,4,8,1,9,1,13,2,28,5,30,1,28,3,30,1,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,13,1,17,12,16,2,17,1,16,1,11,1,17,1,16,1,12,1,17,1,16,2,11,1,16,1,10,1,11,1,9,2,12,1,17,1,11,1,9,1,11,1,9,1,11,1,9,2,17,1,9,1,11,1,9,1,12,1,11,4,9,3,8,1,9,1,8,1,9,1,8,1,13,1,8,2,9,1,13,1,8,1,10,1,8,2,9,1,8,2,9,1,8,2,9,2,13,1,8,2,13,2,8,1,13,1,8,2,13,3,8,2,13,1,8,1,7,1,8,1,13,4,7,1,13,1,6,1,8,1,13,1,8,2,13,3,6,1,7,1,13,3,7,2,13,6,8,1,13,2,9,1,13,2,6,1,28,5,30,2,28,4,30,2,28,6,6,1,28,1,30,1,28,22,17,2,8,1,9,1,13,1,6,1,30,1,28,1,29,1,28,9,30,1,28,1,6,1,28,2,6,1,7,1,8,1,11,1,8,1,11,1,10,1,16,1,17,1,6,1,28,5,30,1,8,1,6,1,7,1,28,42,6,1,13,1,28,3,13,1,17,3,8,1,13,1,6,1,28,1,30,1,6,1,30,1,13,1,9,2,17,2,13,1,28,5,6,2,28,1,6,1,28,10,}, {6,1,30,1,6,1,28,1,30,1,28,1,6,1,9,1,17,1,13,1,28,52,8,2,9,1,13,1,30,1,28,1,30,2,28,1,7,1,12,2,8,1,13,1,6,1,9,1,12,1,17,1,12,1,17,6,9,1,8,1,13,1,6,1,29,1,28,1,30,2,8,1,9,1,8,1,13,2,8,1,7,1,13,1,9,1,17,4,16,1,17,1,9,1,8,1,13,2,9,2,10,1,12,1,17,2,9,1,8,1,30,1,13,1,30,1,6,1,7,1,30,1,6,1,28,37,6,2,8,1,10,1,13,1,7,1,28,1,13,2,7,1,6,1,7,1,17,7,16,2,9,2,8,1,13,1,6,1,13,1,8,1,13,1,24,1,13,3,8,1,9,2,8,1,17,1,13,1,10,1,16,1,17,4,28,17,6,1,13,1,9,1,8,4,9,2,13,2,9,1,13,2,6,1,29,1,8,1,13,3,8,2,13,1,8,1,9,1,8,1,9,1,12,1,11,1,8,2,17,1,9,1,10,1,9,1,10,1,11,1,9,1,11,1,9,3,13,1,9,1,11,1,9,3,12,1,17,5,11,1,9,1,13,1,10,1,11,3,17,1,8,1,17,1,9,2,11,2,17,1,11,1,12,1,8,2,13,1,11,1,13,1,9,1,10,2,11,1,17,5,11,1,17,1,11,1,17,4,12,1,17,1,11,1,10,1,17,2,12,2,17,8,11,1,17,1,11,1,12,1,17,1,10,1,12,1,10,1,17,1,9,2,11,1,10,1,12,1,11,1,10,1,11,1,12,1,11,1,17,1,12,2,9,1,12,1,11,1,12,1,17,2,12,1,11,1,12,1,9,1,17,1,12,1,11,1,10,1,17,1,12,1,24,1,9,1,17,1,11,1,9,1,12,1,9,1,11,1,17,1,9,1,17,1,10,1,12,1,10,1,9,1,12,2,10,1,11,1,24,1,17,1,10,2,17,2,12,1,9,1,17,1,12,1,10,1,11,1,12,1,17,3,10,4,12,1,17,2,12,1,17,6,12,1,17,1,11,1,17,1,10,1,17,1,11,1,17,1,10,1,12,1,17,1,11,1,17,1,9,1,17,2,12,1,10,1,17,2,11,2,12,1,10,1,17,1,12,1,17,1,12,1,11,1,17,1,12,1,17,1,11,1,17,1,12,2,17,2,12,1,11,1,17,1,12,1,17,8,9,1,17,1,10,1,12,2,11,1,17,1,12,2,11,1,10,1,9,1,11,1,17,1,12,1,17,3,12,1,17,3,11,2,10,1,12,1,17,2,12,1,17,3,9,1,17,1,10,1,17,1,12,1,11,1,12,3,9,1,10,1,9,1,17,1,10,1,12,2,24,1,9,1,10,2,12,1,9,1,12,1,9,1,11,1,10,1,9,1,10,1,11,1,12,1,10,1,9,4,8,2,24,1,9,3,24,1,13,1,24,1,9,1,8,1,13,1,7,2,6,2,7,1,6,1,13,1,10,1,12,1,17,5,12,3,10,1,8,1,9,1,10,1,11,1,9,1,10,1,12,1,17,18,12,3,17,1,12,1,10,1,8,1,17,1,9,1,11,1,12,1,11,1,9,1,24,2,11,1,13,1,8,1,13,2,7,1,24,1,7,1,13,1,7,3,8,2,7,1,13,3,7,1,6,1,13,1,6,1,13,2,8,1,7,1,13,2,8,1,13,1,24,2,9,1,13,2,24,1,8,1,7,1,13,1,6,2,13,4,8,1,13,3,7,1,13,3,6,1,7,1,13,1,6,1,29,1,7,1,29,1,6,5,7,1,30,1,6,1,28,1,7,2,6,1,28,1,6,2,29,1,13,1,30,1,13,1,7,1,24,1,7,1,10,1,17,1,7,1,6,2,13,1,6,1,13,1,6,2,13,1,7,1,6,1,28,1,30,1,28,10,30,1,28,6,30,1,28,1,30,1,28,3,29,1,30,1,28,1,30,2,28,1,6,1,30,1,29,2,6,1,29,2,6,5,29,2,30,2,28,1,30,2,28,1,30,2,28,1,30,2,28,2,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,1,30,1,29,2,8,1,11,1,8,1,12,1,11,3,12,1,17,4,11,1,17,1,12,2,17,13,12,2,10,2,9,1,11,1,9,1,10,1,11,2,8,1,12,1,9,3,11,1,17,4,12,1,11,1,17,4,9,2,11,1,12,1,11,1,9,1,17,1,8,1,17,1,11,1,17,1,12,1,17,1,12,1,17,5,12,1,17,2,12,3,17,10,12,1,11,2,12,2,9,1,17,2,9,1,17,2,11,1,17,1,11,1,12,4,24,1,9,1,10,1,24,2,9,1,12,1,9,1,24,1,8,2,13,3,6,1,7,4,6,1,30,1,7,1,30,2,6,1,29,1,30,1,6,2,7,2,6,2,13,3,8,3,9,1,13,1,8,4,13,1,8,1,24,1,13,1,8,2,10,1,9,2,17,1,10,1,30,2,28,1,30,3,28,1,29,1,30,2,28,2,30,1,29,1,28,1,30,3,6,2,30,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,13,1,6,2,30,1,28,3,30,1,28,2,30,1,6,1,28,2,30,1,28,3,30,1,28,13,30,1,6,1,13,1,6,1,29,2,6,1,30,1,28,1,30,1,28,4,30,2,28,2,30,4,28,2,30,2,28,5,6,1,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,3,6,1,30,1,28,9,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,8,1,30,3,28,4,30,1,6,1,28,1,6,1,28,1,30,2,28,1,6,1,28,1,29,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,17,1,10,1,13,1,6,1,28,2,30,2,28,1,30,1,28,1,29,1,28,2,30,2,28,3,30,3,6,1,28,1,30,3,28,2,30,1,28,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,5,28,2,6,1,28,1,30,3,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,2,28,3,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,4,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,6,1,9,1,6,2,28,1,30,2,28,6,30,5,6,1,28,1,6,1,28,3,30,1,28,1,30,2,28,2,13,2,6,1,28,1,30,1,28,5,30,2,28,1,30,1,28,1,30,2,6,1,30,5,28,1,30,5,28,5,30,2,28,1,30,1,28,1,30,8,6,1,28,1,30,1,28,2,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,3,30,1,28,1,6,1,29,1,30,1,13,1,30,1,28,10,30,1,28,1,30,2,28,2,30,1,28,7,30,3,28,2,30,1,6,1,13,1,9,1,6,4,30,1,28,2,30,1,28,1,30,1,28,10,30,1,28,7,30,1,28,5,30,2,28,1,30,1,28,4,30,1,28,3,30,2,28,1,30,2,28,1,30,4,6,1,28,8,30,1,28,4,29,1,28,6,6,2,30,1,28,5,6,2,28,18,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,2,28,3,30,1,28,4,29,1,9,1,17,5,9,1,10,1,24,1,12,1,17,30,16,1,17,4,11,1,9,1,17,3,9,1,10,1,9,1,11,1,8,2,9,1,8,1,13,1,8,1,17,1,8,1,9,5,13,1,11,1,9,1,24,1,9,1,8,1,29,1,26,1,29,1,25,3,27,3,26,1,29,1,30,1,27,1,25,1,29,1,25,1,9,1,7,1,28,2,30,1,28,11,30,1,28,1,9,1,10,1,16,2,17,19,9,1,13,1,30,6,29,1,30,1,28,25,30,1,28,4,30,1,28,1,30,1,7,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,4,30,1,28,1,6,1,30,1,6,1,13,1,6,1,13,1,6,1,7,1,6,2,29,1,6,1,13,1,6,1,7,1,13,7,9,3,13,1,9,4,11,1,9,2,8,1,9,1,8,1,9,1,10,1,17,2,16,1,9,1,8,1,9,1,13,1,6,1,7,1,30,1,28,3,30,2,28,5,30,5,29,1,30,4,7,1,30,1,6,3,28,1,6,1,30,4,28,1,6,2,13,3,6,1,7,1,13,1,6,3,13,1,7,1,6,2,30,2,6,1,28,1,6,1,29,1,6,1,28,1,6,1,30,2,29,2,6,1,30,5,6,1,30,1,7,1,28,1,6,2,30,2,28,1,30,3,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,6,30,3,6,2,30,4,28,1,30,6,6,3,30,2,6,2,29,1,9,2,13,1,10,1,9,1,11,2,9,1,10,1,12,1,9,1,10,1,8,1,9,1,12,1,8,2,13,1,8,1,13,1,7,1,9,1,8,3,9,4,11,2,10,1,9,3,10,1,9,1,10,1,9,3,11,1,8,2,13,1,11,1,13,2,7,1,13,2,6,2,13,2,7,1,6,2,13,1,30,1,6,2,30,1,29,1,6,1,28,1,6,1,29,1,30,2,28,1,30,1,28,1,6,1,28,1,29,1,28,1,30,2,28,3,30,3,28,1,30,1,28,10,30,1,28,2,30,1,28,58,30,3,28,1,6,1,30,1,6,1,13,1,6,2,13,2,7,1,13,4,7,1,8,1,13,1,9,1,8,1,10,2,9,1,11,4,17,1,12,1,11,2,9,1,10,1,9,1,11,1,9,3,8,2,9,2,8,2,9,1,8,1,9,1,13,1,8,3,9,7,8,1,16,1,8,1,13,2,9,1,8,1,9,1,13,1,9,6,10,1,13,1,6,2,28,2,30,1,28,1,30,1,28,3,6,1,28,1,30,3,28,1,30,1,28,1,30,2,7,1,11,1,17,11,11,1,17,1,11,1,17,4,12,2,17,1,9,1,16,1,10,2,9,2,13,1,11,1,9,2,11,1,9,2,11,1,9,1,10,2,11,2,9,1,17,1,8,1,9,1,17,1,9,1,10,1,11,1,9,1,16,1,11,1,9,1,8,1,9,4,8,1,11,1,9,2,8,1,13,1,8,1,13,2,7,1,13,3,7,1,8,1,13,2,8,1,13,2,9,1,13,3,9,1,8,1,9,1,13,1,9,1,7,1,13,1,8,1,13,1,6,1,13,3,7,1,13,1,7,1,13,6,7,1,8,2,13,2,8,1,13,2,6,1,13,3,8,1,6,1,9,1,13,1,8,1,13,1,9,1,6,1,28,4,30,1,6,1,28,1,30,3,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,20,30,1,17,2,9,1,8,2,6,2,28,1,30,1,29,1,30,1,28,7,29,1,28,1,30,1,28,3,13,1,10,1,9,1,13,1,11,1,9,1,10,1,17,1,28,6,13,1,8,1,6,1,30,1,28,41,6,1,14,1,6,2,28,2,8,1,17,2,9,2,8,1,29,1,28,1,6,2,28,2,7,1,9,1,17,2,13,1,28,5,30,1,29,1,28,12,}, {29,1,28,1,30,1,28,1,30,1,28,1,6,1,8,1,17,1,30,1,28,52,6,2,8,2,29,1,28,3,29,1,8,1,9,1,8,1,9,1,13,1,6,1,24,1,10,1,16,1,12,1,17,6,9,1,13,2,6,1,29,2,30,1,6,1,13,1,9,2,13,1,6,2,13,2,9,1,17,1,11,1,17,3,11,1,9,1,13,1,8,1,9,3,11,1,17,4,8,1,29,1,6,1,13,1,6,2,13,2,28,37,6,2,24,1,12,1,9,1,7,1,28,1,13,1,29,1,8,1,6,1,13,1,17,8,9,1,8,1,9,1,7,1,29,1,13,1,7,1,30,1,6,1,13,1,6,1,13,3,9,1,8,3,9,1,10,1,11,1,16,1,17,2,16,1,6,1,28,17,7,1,6,1,30,1,6,2,9,1,13,1,9,5,8,2,9,1,8,2,9,1,8,2,13,1,9,2,8,1,10,1,8,1,13,1,7,2,8,1,9,1,11,1,10,1,13,1,11,1,13,1,9,3,11,1,9,5,11,2,13,1,11,2,8,1,11,2,12,1,11,1,9,2,10,1,12,1,9,4,12,1,11,1,9,1,10,1,9,1,12,1,17,1,11,1,8,5,9,1,10,1,11,1,12,3,17,11,11,1,17,1,12,1,11,1,17,3,11,1,17,2,11,1,12,1,17,2,12,1,17,1,12,3,11,1,12,1,9,1,11,2,9,1,11,3,12,1,11,1,12,1,17,1,12,1,9,1,11,1,17,1,11,1,17,1,11,1,10,1,12,1,10,1,17,1,12,1,17,2,11,1,17,1,12,1,17,1,10,1,17,1,11,1,10,1,9,1,10,1,11,1,17,1,10,1,11,1,8,1,12,1,9,1,12,1,8,1,17,1,24,1,11,1,10,2,9,1,10,1,11,1,12,1,17,1,10,1,12,2,17,1,12,1,11,1,12,1,11,2,9,1,8,1,17,1,9,1,12,3,17,1,10,1,17,6,10,1,17,1,12,1,17,2,12,1,17,2,12,2,17,2,10,1,12,1,17,1,12,1,17,1,12,1,17,3,12,2,17,1,12,4,17,1,12,1,10,1,12,1,17,2,11,1,12,2,17,1,10,1,17,3,12,1,17,2,12,2,17,1,12,1,17,5,12,1,17,1,10,1,11,1,12,1,9,1,11,1,17,3,11,3,12,1,17,1,10,1,17,2,9,1,17,1,12,1,17,1,12,1,11,2,12,1,10,1,12,1,17,2,12,1,9,1,12,1,11,1,17,1,11,1,10,1,12,1,9,1,12,1,8,1,12,1,11,1,12,1,11,1,9,2,24,1,11,1,9,1,24,1,10,1,17,1,8,1,24,2,9,1,24,1,10,1,8,1,24,1,10,1,8,1,11,1,13,1,9,1,8,7,13,2,9,1,13,1,6,1,29,1,6,1,30,1,29,1,6,1,7,1,8,1,17,1,11,1,17,1,11,1,10,2,17,1,10,1,9,1,11,1,9,1,24,1,10,3,11,1,17,12,12,1,17,3,12,1,17,2,12,1,17,1,12,1,9,1,8,1,17,1,11,1,12,1,11,1,17,1,12,1,9,1,10,1,8,1,9,1,13,1,8,1,13,1,8,2,13,2,7,1,13,1,7,1,8,1,13,1,6,1,13,2,6,1,8,1,13,2,7,1,6,1,13,2,6,3,13,1,6,2,13,1,7,1,8,3,10,1,13,1,8,2,6,1,13,2,24,1,7,1,13,1,9,1,7,1,13,3,7,1,13,1,7,1,13,2,7,1,6,3,13,1,6,2,7,1,6,1,7,1,6,2,30,1,6,1,29,1,6,1,29,1,30,2,29,1,30,1,28,1,6,1,7,1,13,1,7,1,13,2,9,1,17,1,7,1,6,2,7,2,6,1,29,1,6,1,30,2,13,1,30,1,28,1,30,1,28,14,30,1,28,8,30,3,28,1,30,2,28,1,30,1,7,1,30,1,6,1,29,1,6,2,29,2,6,1,30,6,28,1,30,1,28,1,30,1,29,2,28,2,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,3,30,2,13,1,10,1,12,1,9,2,10,1,11,3,12,2,17,2,12,1,17,1,12,2,17,12,12,1,17,1,10,1,11,1,17,1,10,1,17,1,12,1,9,2,12,2,10,1,11,1,13,1,17,6,11,1,10,1,17,1,10,1,12,1,17,1,12,1,9,1,10,3,12,1,17,1,12,2,10,2,12,1,17,1,12,1,11,1,9,1,17,1,12,1,17,1,12,2,17,2,12,1,10,1,17,9,11,3,8,1,12,4,10,1,17,1,12,1,9,1,10,1,12,2,10,1,11,1,10,1,24,1,9,2,8,1,12,1,9,1,8,1,11,1,7,1,24,1,8,1,13,3,7,1,6,2,29,1,6,1,29,1,6,3,30,1,7,1,30,1,6,2,30,1,29,1,30,2,6,1,13,1,7,1,8,1,13,1,7,1,24,1,13,2,8,1,13,3,8,1,24,1,8,1,9,1,8,2,13,1,8,1,9,2,16,1,13,1,6,1,28,2,30,5,28,2,30,3,29,1,13,1,6,2,30,1,6,1,30,1,6,1,30,1,28,1,30,1,13,4,30,2,28,1,30,1,28,3,30,1,28,9,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,3,30,1,28,19,6,1,30,1,28,9,30,1,28,2,30,3,28,6,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,1,13,1,9,1,28,2,30,1,28,2,30,1,28,1,30,3,28,2,30,2,28,5,30,1,6,1,30,3,28,1,30,2,28,1,13,1,11,1,9,1,13,2,30,3,6,1,28,2,30,2,28,1,6,1,28,3,30,1,28,3,30,1,29,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,3,6,1,28,1,30,1,6,1,28,2,6,1,28,6,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,5,13,1,9,1,13,1,6,2,30,2,28,1,30,1,6,1,28,3,6,1,30,3,28,1,6,1,30,1,28,3,6,1,13,4,9,1,8,1,13,1,9,1,28,2,30,2,28,1,30,2,28,1,6,1,30,3,28,1,6,1,30,1,28,1,30,2,6,2,30,3,29,1,30,3,6,1,30,3,28,4,6,1,30,1,28,1,29,1,30,1,28,1,30,1,28,4,29,1,28,2,30,1,28,1,30,1,28,12,30,2,28,3,30,1,28,4,30,1,28,1,30,1,28,1,29,1,6,1,13,1,30,1,28,2,30,1,28,1,30,1,28,8,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,6,1,13,2,6,1,13,1,6,1,30,1,28,12,30,1,28,10,30,1,28,4,30,1,28,5,30,1,28,2,30,1,28,2,30,2,28,3,30,2,28,5,6,2,28,11,30,1,28,7,6,2,28,9,30,1,28,3,30,1,28,7,30,1,28,7,30,1,28,7,30,3,28,8,30,1,28,1,30,1,13,1,17,5,24,1,10,1,9,1,17,39,11,1,10,1,12,1,9,1,11,1,9,4,13,2,9,2,8,1,12,1,9,2,8,1,10,1,9,3,17,1,10,1,12,1,25,3,26,1,25,1,27,5,30,1,29,1,27,1,8,1,24,1,6,1,10,1,24,1,28,1,30,1,28,12,30,1,28,1,13,1,11,1,9,1,17,9,12,1,17,11,9,1,29,1,28,1,30,2,28,1,30,1,6,1,28,16,30,1,28,6,30,1,28,6,30,1,28,1,30,2,28,1,6,2,30,7,29,1,30,1,28,1,6,1,28,5,30,1,28,1,30,2,28,1,30,3,6,4,7,1,6,4,13,1,7,1,6,1,13,3,8,1,13,2,9,2,13,1,8,1,9,1,10,1,8,1,13,1,9,1,8,1,10,2,8,1,9,3,8,1,13,1,9,1,17,2,9,1,13,1,11,1,9,1,13,2,30,1,28,2,30,1,28,2,30,2,6,1,30,1,28,3,30,2,6,1,30,1,28,1,30,1,28,1,6,1,28,1,6,3,28,1,30,1,6,2,30,2,6,3,8,2,9,1,13,3,6,1,13,3,7,1,6,1,13,1,6,2,30,1,29,1,30,2,28,1,30,1,28,1,29,1,28,3,30,2,28,1,30,2,29,1,30,4,6,2,30,3,6,1,30,1,6,1,28,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,4,30,3,28,1,29,1,30,1,28,1,30,5,28,1,6,1,28,1,30,1,6,1,30,1,6,1,29,1,6,6,8,1,9,1,8,1,9,1,12,1,9,2,11,4,9,1,10,1,9,1,8,1,9,1,13,2,9,1,8,2,11,1,13,1,9,5,11,1,9,1,11,1,9,1,11,2,9,2,10,1,9,6,13,2,8,1,13,4,6,1,13,1,6,1,7,2,6,1,13,1,6,3,13,1,30,1,13,1,6,2,30,1,6,2,29,1,30,1,29,1,30,3,29,1,28,2,30,1,28,3,30,1,6,1,30,1,28,1,30,2,28,76,30,2,6,1,30,3,6,4,13,2,7,1,13,5,9,1,13,1,11,1,9,1,12,1,10,1,11,1,12,1,11,1,12,2,9,3,11,1,9,2,8,1,9,3,8,3,9,1,8,1,9,1,13,1,9,2,13,1,9,1,8,5,13,1,8,3,9,1,11,2,9,1,8,1,9,2,8,1,11,1,9,6,8,1,13,1,6,1,28,10,30,1,28,2,30,3,29,1,7,1,17,12,16,2,17,1,11,1,17,2,16,1,17,1,12,1,16,2,11,3,9,2,16,2,9,1,8,1,11,1,9,1,10,1,9,1,10,1,9,2,11,6,9,2,11,1,9,3,8,1,9,1,10,1,9,1,13,1,9,1,13,1,12,1,9,1,11,1,13,1,9,1,13,2,8,2,13,1,8,1,13,1,7,1,13,1,9,1,13,5,7,1,13,1,8,1,13,3,6,1,13,2,8,1,13,1,8,2,13,4,8,1,9,1,13,9,7,1,8,1,13,1,7,1,13,2,6,1,13,2,7,1,13,3,9,1,13,1,6,1,11,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,35,6,1,17,2,8,1,9,1,13,1,30,2,6,2,30,1,28,11,30,1,6,1,30,1,8,1,9,1,13,1,8,1,12,1,11,2,17,1,30,1,28,5,6,1,8,1,7,1,28,42,30,1,9,1,13,1,28,3,8,1,17,2,11,1,8,1,6,1,28,3,30,1,6,1,13,1,9,2,17,2,13,1,28,5,30,1,13,1,28,12,}, {30,1,28,3,30,1,28,1,30,1,16,1,17,1,13,1,28,53,6,1,13,1,8,1,13,1,28,1,30,1,28,1,6,1,13,1,12,1,11,1,8,1,6,1,7,1,24,1,9,1,17,1,16,1,17,5,12,1,16,1,8,1,6,1,30,4,28,1,13,1,24,1,9,1,13,1,7,1,13,1,7,1,8,1,13,1,17,6,9,1,8,1,9,1,13,1,9,2,17,4,11,1,8,1,6,2,30,1,6,2,8,1,13,1,28,37,29,1,7,1,8,1,11,1,9,1,6,1,30,1,6,1,13,2,7,1,8,1,11,1,17,7,9,1,13,1,9,1,8,1,7,1,29,1,6,1,13,1,6,1,8,1,6,1,30,1,8,1,13,2,10,1,13,1,9,1,11,1,9,1,8,1,17,3,16,1,28,16,30,1,28,1,6,3,30,1,29,1,30,1,29,1,8,1,9,1,11,1,9,2,11,2,9,1,11,1,9,1,10,2,12,1,8,1,9,1,8,1,13,1,6,3,28,2,13,1,8,1,11,1,9,1,16,1,11,1,9,3,10,1,8,1,10,1,9,1,11,1,9,1,8,1,9,1,10,1,9,1,8,1,13,1,9,4,10,1,9,1,12,1,9,1,11,1,9,1,10,1,11,1,9,2,11,1,9,1,10,1,12,1,10,1,9,1,17,1,11,1,12,1,9,1,8,1,9,2,11,2,17,2,11,1,12,1,17,7,12,1,17,3,11,1,10,1,17,2,10,2,17,2,10,1,11,3,10,2,17,1,12,1,17,1,10,1,11,1,12,1,10,2,9,4,10,1,9,1,10,2,9,2,12,1,9,1,10,1,17,1,11,2,17,1,11,4,10,1,9,1,17,1,11,1,12,3,17,1,11,1,12,2,10,1,11,2,12,1,10,4,11,1,9,1,17,1,12,1,11,1,10,2,11,1,12,1,11,1,24,1,12,1,24,1,12,2,11,1,10,1,11,2,9,2,12,1,9,1,11,2,17,1,10,1,12,1,11,1,12,1,17,1,11,1,10,1,17,2,12,1,17,4,10,1,17,1,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,3,10,1,17,1,12,2,17,1,11,1,12,1,17,2,12,2,17,2,12,1,17,2,11,1,9,1,17,1,12,1,17,5,12,2,17,3,12,2,17,1,12,1,10,1,11,1,12,3,11,1,17,2,12,1,11,1,10,1,8,1,12,2,17,1,11,3,17,1,9,1,12,1,11,1,12,1,10,1,8,1,12,1,11,1,12,2,17,1,10,1,11,1,17,1,9,1,17,1,11,1,12,1,11,1,12,1,11,1,12,1,8,1,12,1,9,1,17,1,9,7,24,3,8,1,10,1,9,1,24,1,9,2,12,1,8,2,24,1,13,1,8,1,7,1,13,1,8,3,13,2,6,1,13,1,8,1,13,1,8,1,7,1,6,3,29,1,30,1,6,1,30,2,17,2,12,1,17,1,12,2,11,2,12,1,9,3,10,1,9,1,17,1,9,1,12,1,17,17,12,1,17,4,12,1,9,1,12,1,10,2,12,1,10,1,24,1,12,1,10,1,24,1,8,1,24,1,13,1,8,2,13,6,8,1,7,1,8,2,6,3,29,1,7,1,13,1,6,2,13,2,6,1,7,1,6,1,7,1,6,1,7,1,13,2,7,1,13,1,24,1,8,1,13,1,8,1,13,1,24,1,13,1,6,1,13,4,6,1,7,1,13,3,6,1,13,2,6,1,7,2,13,1,6,2,13,2,6,5,29,1,6,2,7,1,29,1,6,2,30,2,6,2,7,1,9,1,13,1,9,2,11,1,13,4,6,1,7,4,13,1,7,1,28,11,30,2,28,12,30,2,6,1,30,2,7,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,30,2,29,2,30,3,6,1,28,1,30,1,29,1,30,2,28,1,30,2,28,4,30,3,28,1,30,1,28,5,30,3,29,1,8,1,9,1,11,1,9,1,10,2,11,4,12,1,11,1,12,1,17,1,12,1,11,2,12,2,17,11,11,2,12,1,17,1,12,1,9,1,12,1,17,1,10,2,11,1,10,1,9,1,11,1,17,2,12,1,11,1,17,3,11,1,17,1,9,1,17,1,9,2,11,2,8,1,12,2,9,1,12,1,11,1,17,1,9,1,11,1,10,2,11,1,17,1,12,1,17,4,12,3,17,10,11,1,17,2,12,1,11,1,9,1,11,1,10,1,17,1,9,1,10,1,12,2,9,1,11,1,9,1,11,1,10,2,9,1,10,1,9,2,24,1,9,1,17,1,9,1,8,2,6,1,8,1,7,1,13,1,6,2,30,1,6,1,7,1,29,1,6,2,29,2,6,4,13,1,7,1,6,1,7,1,13,1,7,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,8,1,9,1,8,2,13,1,24,2,13,2,8,1,10,1,11,1,12,1,17,1,6,3,30,3,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,2,6,2,30,2,29,2,6,1,7,2,8,1,6,3,30,4,28,2,30,1,28,5,30,2,28,1,30,1,28,1,30,1,28,5,30,2,28,9,30,1,28,1,6,2,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,4,30,1,28,5,30,1,13,5,6,2,28,3,30,1,28,1,30,1,28,3,30,1,28,10,30,1,28,1,6,1,30,1,28,2,30,3,28,4,6,1,30,1,13,1,30,1,6,1,28,2,30,2,28,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,4,28,3,30,1,28,1,8,1,13,1,9,1,13,1,6,1,28,1,6,1,28,2,29,1,28,1,30,2,28,2,30,2,28,5,30,1,6,1,28,2,29,1,28,4,30,4,28,1,30,1,28,5,30,3,28,1,30,2,28,1,30,3,29,1,28,3,30,1,28,1,6,1,28,1,30,3,6,1,28,1,30,2,28,2,30,1,28,3,30,4,28,3,30,2,28,1,30,1,28,2,30,1,28,6,30,1,28,2,30,1,28,5,6,1,13,1,7,1,13,1,30,2,28,2,30,1,28,1,30,2,6,1,28,2,30,1,28,1,30,3,29,1,28,1,13,3,6,1,30,4,9,1,11,1,9,1,30,3,28,3,30,3,28,1,6,1,28,1,30,2,28,2,30,7,6,2,30,2,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,13,1,28,15,30,1,28,24,30,4,28,2,6,1,30,1,28,4,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,3,6,1,13,3,29,1,13,1,6,1,30,1,28,1,30,1,28,6,30,1,28,4,30,1,28,8,30,2,28,4,30,1,28,13,30,1,6,3,13,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,5,30,1,28,11,13,1,17,1,13,1,28,7,30,1,28,17,6,1,28,2,6,1,28,7,30,1,28,1,30,2,13,1,29,1,28,9,30,1,13,1,17,5,9,1,10,1,9,1,10,1,17,33,11,3,17,1,12,1,9,1,10,1,11,1,12,1,11,1,9,2,13,1,9,4,8,1,10,1,9,4,8,2,9,1,11,1,8,1,12,1,10,1,26,1,27,2,26,1,25,2,26,1,25,1,27,1,29,1,27,1,30,1,27,1,15,1,26,1,29,1,8,1,6,1,28,1,30,1,28,14,13,1,16,1,11,1,17,1,11,1,17,1,12,1,17,5,12,2,17,11,9,1,6,1,28,1,30,2,6,2,28,3,30,1,28,16,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,3,6,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,3,30,1,28,4,30,8,29,1,6,3,30,1,6,2,13,2,6,1,7,1,13,2,8,1,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,9,4,10,1,9,3,13,2,8,2,12,1,17,1,12,1,9,2,8,1,9,1,13,2,29,1,30,1,28,2,30,1,28,2,30,3,28,2,30,4,28,1,6,1,28,1,30,2,6,1,30,1,28,1,6,2,28,1,7,1,6,2,28,1,30,1,13,2,9,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,28,1,30,3,6,1,30,3,6,1,30,2,28,2,30,4,29,1,30,2,29,2,6,4,29,1,6,1,30,1,28,1,30,4,6,2,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,7,28,2,30,2,28,1,6,1,28,1,30,2,6,1,30,1,28,1,30,1,6,2,28,1,29,1,30,1,6,1,13,2,9,4,10,1,9,1,16,1,11,2,9,1,10,1,8,1,9,1,8,2,9,1,8,1,13,2,8,2,9,1,10,1,9,1,8,1,9,1,8,2,11,1,10,1,11,2,9,1,10,1,9,7,8,1,13,3,8,1,13,3,6,4,29,1,13,1,7,1,6,2,13,1,6,1,30,1,29,1,30,1,6,4,29,1,6,1,30,3,28,1,30,5,29,1,28,1,30,1,28,2,30,1,6,1,28,56,30,1,28,19,30,1,28,1,30,1,28,1,30,1,7,1,30,1,6,1,30,1,6,1,13,1,6,2,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,8,1,13,1,11,1,10,1,9,1,12,1,16,1,9,1,12,1,9,9,11,1,13,1,9,3,8,1,9,4,8,1,9,1,8,2,13,1,9,4,13,1,9,1,13,1,8,2,9,8,8,1,9,1,13,1,9,1,13,1,8,1,13,2,6,1,29,1,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,3,29,1,17,6,16,1,17,4,16,1,17,3,16,1,11,1,16,1,17,1,12,1,16,1,12,1,11,1,10,1,11,2,16,1,9,1,11,1,9,1,16,1,11,6,12,1,11,2,12,1,10,1,9,5,10,1,9,1,11,1,8,1,9,2,13,1,8,2,13,1,9,1,8,2,9,2,8,1,9,2,13,2,9,2,8,4,13,1,9,1,13,1,8,1,13,2,8,1,13,1,7,1,6,1,13,1,7,1,13,1,6,1,13,3,8,1,13,1,7,1,13,3,8,1,13,2,8,2,13,3,6,2,7,1,9,1,8,1,13,4,9,1,13,5,9,1,8,1,9,1,13,1,28,7,30,2,6,1,28,1,30,1,28,13,30,1,28,18,13,1,17,1,16,1,7,2,13,2,29,1,6,1,29,1,30,1,29,1,28,7,30,6,13,1,11,1,9,1,13,1,9,2,17,2,28,6,30,1,8,1,7,1,28,43,7,1,8,1,28,3,9,1,17,3,9,1,30,2,28,1,6,1,29,1,28,1,9,1,8,1,11,1,16,1,17,1,30,1,28,6,30,1,6,1,28,11,}, {29,1,30,1,28,1,30,1,28,2,30,1,17,1,9,1,6,1,28,52,30,1,24,1,8,2,6,1,30,3,28,1,6,1,10,1,9,1,10,1,6,1,13,2,9,1,12,1,17,1,12,1,17,5,12,1,9,1,13,1,6,2,30,1,7,1,30,2,11,1,13,1,29,1,13,3,7,1,9,1,17,5,9,1,11,1,9,2,8,1,11,1,9,1,10,1,11,1,17,2,11,1,8,1,28,1,6,1,13,1,6,1,13,1,8,2,28,38,13,2,16,1,13,1,6,3,7,1,13,1,8,1,9,1,16,1,17,7,9,1,8,1,13,2,9,1,7,1,30,1,6,1,30,1,7,1,24,1,29,1,8,1,6,1,13,1,8,1,9,3,17,1,12,1,16,2,17,2,30,1,28,17,6,1,30,2,6,1,30,1,29,1,6,1,28,1,6,1,13,2,8,1,9,1,8,2,9,1,8,1,13,2,6,1,13,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,8,2,9,3,11,1,9,1,11,2,9,1,13,1,9,3,8,1,9,1,13,1,9,2,11,2,8,2,11,1,13,1,9,4,8,1,9,3,12,1,9,1,11,1,9,2,12,3,11,1,17,1,11,2,17,1,12,1,9,1,11,1,9,1,17,1,10,1,11,1,17,1,12,1,17,4,12,1,17,2,12,1,17,1,10,1,17,1,12,1,9,1,11,2,10,1,17,1,11,1,12,3,9,1,11,1,17,1,11,1,12,2,17,1,12,1,10,1,9,1,12,1,10,3,12,1,9,1,11,1,10,1,9,1,12,1,10,1,9,1,17,1,9,2,10,1,9,1,10,1,11,2,12,2,17,1,12,1,11,2,17,1,12,2,11,1,17,1,9,1,17,1,10,1,12,2,11,1,24,1,11,1,9,1,10,3,12,1,10,1,9,1,10,1,9,1,10,1,9,1,11,1,9,1,10,1,9,2,8,1,12,2,17,1,9,1,12,1,10,1,12,1,10,1,8,1,9,2,12,1,9,1,10,2,11,1,10,1,12,2,10,1,17,2,12,1,17,1,12,1,17,3,12,2,17,1,12,1,17,2,10,1,17,3,9,1,17,1,11,1,17,1,12,2,17,1,12,1,17,2,11,1,12,2,17,2,10,1,17,1,11,1,12,1,17,2,11,2,9,1,17,1,12,1,17,2,12,2,17,2,12,1,17,3,12,1,17,1,12,1,11,2,17,1,11,3,12,3,10,1,11,1,10,1,11,2,12,3,24,1,12,1,9,2,12,1,9,1,17,1,11,1,10,1,11,1,12,1,9,1,11,1,12,1,11,1,24,1,11,1,10,1,9,1,11,1,9,3,12,1,10,1,9,5,24,1,8,3,10,1,8,1,9,1,8,2,13,1,8,3,7,1,8,1,13,5,7,2,13,1,7,1,13,1,6,1,8,1,13,1,6,1,29,1,28,1,30,3,6,1,7,1,13,1,9,1,17,1,12,1,11,1,17,1,12,1,11,1,9,1,8,1,9,1,8,1,10,2,11,1,10,2,12,1,17,16,11,1,17,2,11,1,17,1,9,1,12,1,17,1,12,2,11,1,8,1,24,1,8,2,9,2,13,1,8,2,13,2,7,1,13,1,8,1,13,1,8,1,13,1,6,1,13,5,8,1,13,1,6,1,7,2,6,4,13,1,6,4,8,1,29,1,13,1,7,1,8,2,13,1,9,1,13,2,8,4,13,1,7,2,13,3,7,1,13,1,6,2,30,1,13,1,7,1,29,1,7,1,30,1,6,1,7,1,6,4,7,1,6,1,28,1,29,1,6,2,30,1,29,1,6,3,30,1,6,1,7,1,9,2,11,1,10,1,8,1,13,1,9,1,13,1,8,1,13,3,30,1,29,1,28,17,30,1,28,2,30,2,28,1,30,1,28,1,30,6,6,1,29,1,6,2,30,1,29,1,30,3,29,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,29,3,28,8,30,2,28,3,30,1,28,2,30,1,6,1,11,1,9,1,10,5,12,3,17,20,12,1,11,1,9,1,11,1,17,1,12,2,17,1,12,1,9,1,10,2,9,1,17,1,12,2,11,1,9,1,11,3,10,2,17,1,10,1,11,1,12,1,9,1,8,1,9,1,11,1,9,1,11,1,12,1,9,1,12,4,11,1,12,1,17,1,11,1,9,1,17,1,10,1,12,1,11,1,12,1,9,1,12,1,11,1,17,7,12,2,11,1,10,1,11,1,17,1,11,1,12,1,24,1,12,2,9,1,12,1,9,1,12,1,10,2,11,1,9,1,17,1,10,1,9,5,10,1,13,1,24,1,8,1,24,1,7,1,13,1,6,1,13,1,30,1,6,8,30,1,6,1,30,1,7,1,6,1,29,1,13,2,7,1,24,1,13,3,8,1,13,1,9,1,13,1,8,1,13,2,9,1,10,1,8,1,13,1,8,2,7,1,10,1,9,1,11,2,28,1,30,7,6,1,28,4,30,1,28,1,30,1,28,1,29,1,30,1,28,2,13,2,7,1,13,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,6,30,1,28,2,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,4,30,3,28,1,30,2,28,4,30,1,28,18,6,1,28,6,30,1,28,3,30,1,6,1,29,1,28,2,30,1,28,1,6,1,30,1,28,8,30,1,28,1,6,1,30,1,6,1,7,1,30,1,6,2,30,2,6,4,30,1,28,3,30,1,28,1,30,4,6,1,28,1,30,2,28,1,30,1,28,1,6,1,28,3,6,2,28,1,30,2,28,2,30,1,9,1,13,2,6,2,29,1,30,3,6,1,30,4,29,1,28,2,30,1,28,3,30,1,13,2,28,4,30,1,28,1,30,3,6,1,29,1,28,1,6,1,30,2,6,1,30,1,28,1,30,7,28,4,30,1,13,2,6,1,30,2,6,1,30,1,6,1,29,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,2,30,2,13,3,6,2,28,4,30,1,28,2,30,1,28,3,30,1,6,1,30,1,6,2,13,1,6,1,30,1,28,2,6,1,30,2,28,1,13,1,28,1,30,4,28,2,30,1,29,1,30,8,28,2,30,1,28,3,6,2,30,3,6,2,28,1,30,4,28,1,30,2,28,1,16,1,28,4,30,1,28,4,30,1,28,3,30,1,28,6,30,1,28,2,30,1,28,4,30,1,28,1,30,6,28,1,30,1,28,9,30,1,6,1,28,4,30,2,28,2,30,1,28,7,29,1,28,1,30,1,28,4,6,1,13,2,7,1,6,1,13,1,28,2,30,1,28,8,30,1,28,26,30,1,28,3,30,3,28,10,13,1,30,1,28,13,30,1,28,1,13,1,9,1,16,1,13,1,28,6,30,1,28,8,30,1,28,8,30,1,28,12,30,2,28,1,6,1,8,1,28,6,30,1,28,2,30,1,28,1,6,1,17,5,11,1,10,1,12,1,17,34,11,4,12,2,11,1,9,2,11,1,9,1,8,1,13,2,8,1,9,1,8,1,9,1,10,2,11,1,9,3,10,1,13,1,9,1,8,1,9,1,24,1,25,1,27,1,25,1,27,1,25,2,27,2,25,1,27,1,29,1,28,1,27,1,8,1,27,1,30,1,13,1,24,1,28,16,30,1,10,1,11,1,17,23,13,1,6,1,30,1,28,2,30,2,28,1,30,1,28,3,30,2,28,7,30,1,28,4,30,1,28,5,30,1,28,7,30,2,6,1,28,1,30,2,29,1,30,2,6,1,29,1,6,1,28,2,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,6,7,1,6,1,29,1,6,1,7,1,13,2,6,1,13,2,8,1,13,1,8,2,9,1,13,1,9,1,8,1,13,1,8,1,9,2,11,1,9,1,8,1,9,1,8,1,13,1,10,1,13,1,17,2,11,1,8,1,11,1,13,1,9,1,8,1,13,1,30,2,28,1,30,5,28,4,6,1,30,9,6,1,30,1,28,1,30,1,29,1,30,1,29,1,7,1,6,1,13,6,6,1,13,1,7,1,6,1,30,1,6,1,30,1,13,1,29,1,30,2,6,1,30,1,29,1,30,6,28,2,6,2,30,1,29,1,30,4,6,1,30,1,9,1,30,3,6,1,30,3,29,1,28,3,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,1,30,1,6,1,29,1,30,1,6,3,13,1,8,1,9,1,13,1,9,3,12,1,10,1,9,1,11,1,8,1,9,2,13,1,8,2,9,2,13,2,8,2,9,1,13,2,11,1,9,4,12,1,11,1,16,1,10,1,11,1,8,1,9,2,13,1,9,1,8,1,13,1,8,1,13,1,7,1,13,2,7,1,6,1,29,1,13,1,7,1,6,1,29,1,6,3,30,1,6,1,29,1,30,1,6,1,30,2,28,1,29,1,28,2,6,1,29,1,30,3,29,1,30,5,28,4,30,3,28,4,30,1,28,8,30,1,28,65,30,1,6,1,28,3,29,1,7,1,29,1,6,1,13,1,7,1,6,1,8,1,6,1,8,2,13,1,8,2,13,2,9,1,8,1,9,2,10,1,17,1,11,1,9,1,10,1,9,5,13,1,9,4,8,1,9,2,8,1,9,2,8,1,13,1,9,4,8,1,9,1,8,1,9,3,10,1,13,1,9,6,11,2,9,2,8,1,9,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,13,2,30,1,28,9,30,1,29,1,30,1,29,1,17,9,11,1,16,2,17,1,16,1,17,1,12,1,17,1,11,1,16,2,17,1,13,1,16,1,11,1,12,1,10,1,9,2,11,1,10,1,9,4,10,2,9,2,11,1,10,1,9,1,11,1,17,1,9,1,11,1,9,1,11,1,9,1,10,2,9,1,10,1,13,1,9,4,13,1,9,1,13,1,8,2,13,4,9,2,13,4,8,1,13,1,8,2,9,1,13,1,8,2,13,3,8,1,7,1,8,1,13,2,7,1,9,1,6,1,13,6,7,1,8,1,13,1,6,1,8,1,13,1,6,1,13,2,9,1,13,6,6,1,13,3,9,1,8,2,9,1,8,1,13,1,6,1,28,7,30,2,28,34,13,1,17,2,11,1,10,1,13,1,6,1,30,1,28,1,29,1,30,1,28,11,30,1,28,1,29,1,6,1,11,1,10,1,9,1,17,1,11,1,17,2,30,1,28,5,6,1,13,1,30,2,28,41,30,1,13,2,30,1,28,2,16,1,17,1,11,1,9,1,8,1,6,1,28,2,29,1,7,1,13,1,8,1,9,2,17,2,30,1,28,5,6,1,30,2,28,11,}, {6,1,29,2,28,2,29,1,28,1,17,2,13,1,28,11,30,1,28,40,29,1,8,1,12,1,13,1,8,1,28,1,29,1,30,2,13,1,10,1,17,1,9,1,13,3,9,1,17,3,11,1,17,1,16,1,17,2,12,1,8,1,13,1,28,2,30,3,29,1,9,1,24,1,8,1,29,1,8,1,9,1,29,1,13,1,17,4,11,1,10,1,11,1,9,1,10,1,13,2,11,1,12,1,9,1,17,3,13,1,7,1,6,1,30,1,29,1,13,1,8,1,24,1,28,30,30,1,28,6,6,1,13,1,8,2,10,1,8,1,30,1,13,1,6,1,13,1,7,1,6,1,9,1,17,7,11,1,9,1,8,1,13,1,6,1,30,1,6,2,30,2,6,2,8,1,9,1,7,1,8,1,9,2,10,1,11,1,9,1,17,4,28,18,6,3,30,1,6,2,30,1,29,2,6,1,29,1,13,1,30,1,6,1,29,2,28,1,30,2,29,1,30,2,6,1,29,1,28,1,6,1,30,1,28,2,6,1,9,3,11,1,9,5,11,1,9,4,8,2,9,1,13,1,8,1,9,1,8,1,9,1,8,1,13,2,9,8,10,1,8,1,10,1,8,1,9,1,8,1,17,1,10,1,9,2,11,1,17,2,12,1,9,1,17,1,10,1,17,1,11,1,17,1,12,1,17,2,12,1,17,2,11,1,17,1,10,1,12,1,17,1,12,2,17,1,10,2,17,1,9,1,10,1,17,1,11,1,12,1,11,1,12,1,11,1,10,1,9,2,12,1,10,1,12,1,9,2,12,1,11,1,12,1,10,1,12,1,9,1,10,2,9,1,24,2,12,1,17,1,10,1,8,1,10,1,24,1,12,1,17,1,9,1,12,1,10,2,11,1,9,1,12,1,17,2,11,1,9,1,10,1,11,3,10,1,9,3,12,1,24,1,9,1,10,1,24,1,9,3,24,1,9,1,11,1,24,1,12,1,9,3,24,1,12,1,9,1,12,1,11,1,10,1,11,1,9,1,12,1,10,1,12,1,10,1,24,1,10,1,11,1,10,1,17,1,9,1,12,1,17,2,12,1,17,1,12,2,9,1,11,1,17,4,12,1,11,1,17,3,12,1,17,2,12,1,17,2,12,1,9,1,12,3,11,1,17,2,12,2,10,1,17,1,11,1,17,1,9,1,11,1,17,1,9,1,17,1,11,4,17,2,12,1,17,1,11,1,12,1,11,1,12,1,10,1,9,2,24,1,10,1,12,1,8,1,11,1,24,1,10,1,12,1,24,2,9,4,10,1,9,3,8,1,24,1,10,1,12,1,9,1,12,1,8,1,9,2,10,1,12,1,9,1,10,1,9,4,10,2,9,2,24,2,9,1,8,1,9,1,10,1,8,6,13,1,24,3,8,1,13,4,6,1,13,1,7,1,13,2,7,1,13,2,7,1,6,1,13,2,6,1,7,2,13,2,30,1,6,1,29,1,30,3,6,1,29,2,6,1,17,1,10,2,12,1,11,1,9,1,10,1,12,1,9,1,13,1,9,1,12,1,10,2,11,1,12,1,17,13,11,1,17,2,10,1,12,1,17,1,12,1,11,1,9,1,12,1,10,2,12,1,10,3,8,4,13,1,8,1,13,1,8,1,13,1,8,1,13,2,6,1,8,2,6,1,13,2,6,1,7,1,29,1,6,1,7,3,6,1,30,1,13,1,29,1,6,5,30,1,6,6,8,1,13,4,30,1,8,1,13,1,6,2,7,2,6,1,13,1,6,2,13,1,30,1,6,2,30,1,6,3,13,1,29,1,13,1,6,2,29,1,30,1,29,2,7,1,29,1,30,1,6,1,30,1,29,1,6,1,29,1,6,1,29,1,30,1,7,1,6,1,8,1,7,1,9,1,8,1,29,1,7,2,6,2,30,1,28,4,30,1,28,17,30,1,28,2,30,1,28,2,30,2,28,1,6,1,30,1,6,1,29,1,6,2,28,1,30,1,29,1,30,2,6,1,28,1,30,2,28,2,30,3,29,1,30,1,29,1,28,1,30,1,28,5,30,2,28,1,30,1,28,1,30,3,28,1,29,1,30,1,6,2,9,3,10,1,9,1,11,1,12,1,11,1,12,1,17,4,12,2,17,3,12,1,17,11,11,1,9,1,10,1,11,1,10,1,11,2,12,1,11,2,9,1,11,1,10,1,17,6,11,1,10,1,9,2,17,1,12,1,10,1,8,1,11,1,9,1,10,1,11,1,9,2,12,1,9,1,11,1,12,1,17,2,11,1,10,1,17,1,12,1,11,3,12,3,11,1,17,10,9,1,11,1,10,1,17,1,11,1,12,2,10,1,11,3,12,1,10,2,12,3,9,1,12,1,8,1,10,1,9,1,24,1,8,1,24,1,9,3,8,1,9,1,7,1,13,1,7,1,6,3,29,1,30,1,6,1,29,1,6,3,30,1,7,1,29,1,13,1,29,1,6,1,13,1,8,1,7,2,13,3,8,1,13,2,8,1,9,1,8,1,13,1,8,3,13,1,8,1,13,1,8,1,13,1,9,1,17,1,7,1,28,1,30,4,28,1,30,7,28,1,30,1,28,1,6,1,30,3,28,1,13,1,7,1,13,2,6,1,30,1,28,1,6,1,30,2,28,1,30,4,28,5,30,2,28,2,30,2,28,2,30,2,28,5,30,1,28,6,30,1,28,1,30,1,28,6,30,1,28,8,30,1,28,7,30,1,28,2,30,1,13,1,30,1,28,6,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,4,30,2,28,1,30,2,28,4,30,1,8,1,6,2,30,9,13,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,6,1,30,2,28,1,30,1,28,4,30,3,28,2,30,1,28,2,6,1,9,1,11,1,13,1,29,1,6,2,30,1,6,1,30,1,6,2,30,3,28,2,30,1,6,2,30,3,6,1,13,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,6,1,13,1,28,1,6,1,30,3,6,1,28,1,6,1,30,1,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,4,29,1,30,1,28,4,30,1,28,4,30,1,28,1,30,4,13,1,9,1,6,3,28,5,30,1,28,5,13,2,6,2,30,1,28,5,30,1,28,1,30,3,6,2,28,2,30,1,28,2,30,1,28,1,30,3,28,7,30,3,6,1,30,3,28,1,30,2,28,3,30,5,28,1,30,2,9,1,28,1,6,1,30,1,28,2,30,1,28,6,30,2,28,1,30,1,28,3,30,1,28,12,30,1,28,1,30,1,6,1,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,6,6,1,28,3,30,6,6,1,29,1,30,2,28,1,30,1,28,1,13,2,6,1,13,1,6,1,28,2,6,1,28,2,30,1,28,3,30,1,28,6,29,1,28,13,30,1,28,13,30,1,28,2,30,1,28,5,30,1,6,1,30,3,28,11,6,2,30,1,6,1,30,2,28,2,30,1,28,7,30,1,28,1,30,1,28,5,30,1,28,9,30,1,28,5,30,1,28,6,13,1,6,1,30,2,28,3,30,1,28,5,30,1,17,5,9,1,10,1,17,35,11,1,17,1,10,1,17,3,11,2,17,1,10,1,8,1,11,1,9,1,13,1,9,2,8,1,10,1,9,1,11,1,9,2,8,1,11,1,9,1,13,1,11,1,9,1,24,1,10,1,8,1,25,1,27,2,25,3,29,1,26,1,27,1,29,2,8,1,26,1,25,1,28,1,8,1,6,1,28,17,9,1,11,1,17,1,12,1,17,2,11,1,17,18,16,1,9,1,6,1,28,1,6,1,30,1,29,1,30,1,28,2,30,1,28,3,30,1,28,19,30,1,28,6,30,1,13,1,30,5,28,1,30,1,28,2,30,1,28,6,30,2,28,1,30,1,6,1,30,3,28,1,29,1,6,1,28,1,30,1,29,1,6,1,29,2,6,1,30,1,29,1,7,1,13,1,7,1,13,1,8,1,13,2,9,1,8,1,13,1,8,3,9,4,8,1,10,1,11,1,8,1,9,1,8,2,10,1,13,1,11,1,16,1,9,1,11,1,8,1,9,1,8,1,13,1,6,1,13,1,28,2,30,1,28,1,30,1,28,1,30,4,28,1,29,1,28,1,30,4,6,1,29,1,30,1,29,1,30,3,6,1,28,1,6,1,30,1,13,1,8,1,9,1,13,2,6,1,13,2,6,3,30,1,6,2,30,1,7,1,28,1,30,1,28,1,30,10,29,1,30,3,6,1,30,1,6,1,30,3,7,1,6,1,29,2,30,1,6,2,30,1,29,1,30,1,6,2,29,1,28,5,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,2,30,3,28,5,30,1,28,2,30,1,28,1,30,1,6,3,30,1,6,3,9,1,8,1,13,2,10,1,9,1,17,1,9,2,12,1,9,2,10,1,13,1,9,1,8,2,13,1,9,1,8,1,13,1,8,3,11,1,9,1,8,1,11,1,9,2,11,1,9,1,10,1,8,1,9,1,12,1,9,1,10,1,9,1,13,3,8,2,13,1,6,6,13,1,29,1,6,1,30,2,13,1,6,3,30,1,6,2,30,1,7,1,6,1,28,1,30,4,28,1,30,2,28,1,30,2,6,2,30,2,6,1,28,5,30,2,28,54,30,1,28,21,30,1,28,1,30,1,28,1,30,1,29,1,30,2,6,1,28,1,7,1,6,1,29,1,13,1,6,2,13,1,6,2,13,2,9,1,13,1,11,1,9,2,11,1,9,1,11,1,10,1,9,1,16,1,9,1,12,1,9,4,11,1,8,2,9,1,8,1,13,1,10,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,9,4,13,1,9,1,13,1,9,5,8,1,9,2,10,1,9,1,10,1,8,1,9,1,10,1,13,1,9,4,13,1,8,2,9,1,13,3,29,1,28,1,30,1,28,1,30,2,28,1,30,3,6,1,17,9,16,1,17,4,9,1,16,1,9,1,17,1,16,2,12,1,17,1,16,1,12,1,17,1,10,1,17,1,12,1,16,1,11,1,16,1,12,1,17,1,9,2,11,1,16,1,10,1,11,1,17,1,9,1,11,1,10,1,8,1,9,2,10,1,9,2,8,1,9,1,17,1,9,1,11,1,9,1,8,1,10,1,9,4,13,1,9,1,13,1,9,1,8,3,13,1,8,1,9,4,13,1,8,2,13,3,8,1,13,1,8,1,7,1,8,1,13,6,9,1,7,1,9,1,13,2,8,1,13,3,7,1,13,1,6,1,13,1,6,2,13,2,8,1,13,6,7,1,8,3,13,1,8,2,9,1,30,1,28,7,30,2,28,13,30,1,28,20,9,1,17,2,9,2,6,1,7,1,13,1,30,2,28,9,30,1,28,3,29,1,6,1,13,1,9,1,10,1,13,1,17,1,9,1,17,1,9,1,28,3,30,1,28,2,6,1,10,1,30,1,28,43,30,1,28,4,10,1,17,2,11,1,13,1,6,2,30,2,6,2,8,1,11,2,17,2,6,1,28,5,8,1,13,1,28,12,}, {6,2,30,2,28,2,29,1,8,1,17,1,6,1,28,52,30,1,8,2,24,1,13,1,28,4,6,1,12,2,9,1,7,1,13,1,8,2,11,1,12,1,17,1,11,1,17,1,16,1,12,1,17,2,13,1,6,2,30,2,29,1,30,1,7,1,10,1,24,1,13,2,7,1,13,2,8,1,17,4,11,1,9,1,16,1,8,1,9,2,11,1,17,1,11,1,17,4,6,2,30,1,6,3,24,1,13,1,28,38,13,1,7,1,9,1,8,1,29,1,13,1,6,1,13,3,8,1,16,1,17,7,11,1,13,1,9,1,13,3,29,1,6,3,29,1,6,1,29,1,6,1,13,1,8,3,9,1,10,1,13,1,9,1,10,1,11,1,16,1,7,1,28,17,30,1,6,1,28,1,6,1,30,1,6,1,30,5,28,1,6,2,28,1,30,6,29,1,30,2,6,1,30,2,28,3,13,1,9,2,11,1,9,2,10,1,9,3,11,1,8,2,13,1,9,2,13,2,8,1,9,1,13,1,8,1,9,1,8,3,9,1,8,3,9,4,8,1,11,1,10,1,9,3,16,1,11,1,10,1,11,1,16,1,11,1,17,6,11,1,17,3,10,1,17,1,11,2,17,1,12,1,17,1,10,1,12,1,11,1,10,1,12,1,11,1,17,1,11,1,9,1,11,1,10,1,11,2,9,1,11,1,17,1,12,1,17,1,24,1,12,1,10,1,17,1,12,1,17,2,9,1,12,1,10,1,9,1,24,1,10,1,9,2,17,1,24,1,9,1,24,2,9,1,8,1,12,1,11,1,9,2,10,1,17,1,9,2,11,1,12,1,11,1,9,1,12,1,10,1,9,1,10,2,9,1,12,2,17,1,9,1,8,1,12,1,8,1,9,4,10,1,9,2,10,1,11,2,10,1,9,2,10,1,24,1,8,1,24,1,13,1,9,1,10,2,12,1,9,2,12,1,9,1,24,1,10,1,9,2,24,1,13,1,8,1,17,1,24,1,17,1,11,2,12,3,11,1,17,2,12,1,11,1,12,1,9,1,17,1,11,1,17,1,12,2,10,1,17,1,10,1,12,2,11,1,17,1,12,1,11,2,17,1,12,1,17,1,12,3,11,1,12,1,9,1,12,1,10,1,9,1,12,3,17,2,12,1,17,2,12,1,9,1,11,1,17,1,9,1,12,1,8,1,12,1,10,1,13,1,8,1,9,3,8,1,9,1,8,1,9,1,10,1,12,1,24,1,9,1,8,1,24,1,9,1,24,1,10,1,9,1,8,1,11,1,17,1,13,1,10,1,11,1,13,1,10,2,11,1,9,1,11,1,9,1,11,1,9,4,24,1,8,1,24,1,8,1,13,1,8,4,13,2,8,2,7,2,13,1,8,1,6,2,7,2,6,1,7,1,30,1,13,1,7,1,8,1,13,1,6,1,29,1,7,1,6,3,13,1,7,2,29,3,6,1,28,1,30,1,6,2,29,1,13,1,24,1,11,1,17,1,9,1,10,2,9,3,8,1,9,2,12,1,9,1,10,2,17,11,12,2,17,4,12,2,10,2,17,2,12,1,10,1,8,1,11,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,7,1,8,1,13,1,7,1,8,1,7,1,8,1,7,2,6,1,13,2,6,2,7,2,6,1,29,1,6,6,29,2,30,1,6,4,29,1,13,1,6,1,13,1,7,2,6,1,13,2,8,1,6,2,13,2,7,1,6,6,7,1,6,3,29,1,6,1,29,1,7,1,29,1,6,3,30,1,7,1,30,1,6,2,29,1,6,3,30,1,7,1,6,1,7,1,6,1,30,1,6,1,28,1,6,3,30,2,28,1,30,1,28,7,30,1,28,2,30,2,28,10,30,1,28,1,30,1,28,1,30,1,28,3,30,1,6,1,29,1,6,2,30,2,29,1,30,4,28,1,6,1,30,1,28,4,30,1,28,2,30,1,28,1,29,1,6,1,28,1,30,1,28,3,30,1,28,2,30,3,28,1,30,3,7,1,13,1,8,2,9,2,11,1,9,1,12,1,11,1,12,1,11,1,12,1,17,1,12,1,11,1,17,6,11,1,17,13,11,4,9,1,11,1,9,1,12,1,11,1,17,3,11,1,12,1,11,1,9,1,17,1,8,1,10,1,9,1,10,1,17,1,11,1,8,2,11,1,10,1,11,3,9,1,11,1,17,1,12,2,17,1,11,1,17,1,10,1,17,4,11,1,17,1,10,1,17,2,12,1,17,11,10,1,17,3,12,1,9,1,12,1,10,1,17,1,11,1,12,1,10,1,17,1,9,1,11,1,9,1,11,2,9,1,13,1,8,1,24,1,9,3,8,3,13,2,7,2,13,1,6,1,13,1,6,1,30,1,7,1,6,2,29,1,7,1,6,2,7,1,6,1,13,1,7,1,13,1,7,1,8,1,13,1,8,1,13,1,8,2,13,1,9,1,13,1,24,1,8,1,13,1,9,1,8,1,13,1,8,2,13,1,9,2,11,1,13,1,29,1,28,1,6,1,30,4,29,1,28,1,30,2,28,4,30,1,28,3,30,1,28,1,13,1,6,1,30,1,7,1,30,2,28,1,30,5,6,1,28,2,6,1,30,1,28,1,30,2,28,3,30,1,28,2,30,2,28,5,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,2,28,5,30,2,28,11,6,1,29,1,28,9,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,1,30,2,6,1,13,1,6,1,28,1,30,2,28,4,30,1,28,2,6,2,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,6,28,1,30,4,28,1,30,1,28,1,30,3,28,2,30,1,9,1,13,1,9,1,13,2,28,1,30,1,28,1,30,1,29,1,30,2,6,1,29,1,30,1,7,1,13,3,6,1,29,1,6,1,30,1,28,2,29,1,28,2,30,3,28,4,30,1,28,1,30,1,29,1,28,1,30,1,28,3,30,1,28,2,30,1,28,8,30,1,6,1,30,3,29,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,4,28,2,30,1,28,3,30,1,28,1,30,1,28,10,30,1,28,3,7,1,6,1,13,1,9,1,6,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,1,10,1,30,2,28,2,30,1,28,5,30,1,28,1,30,2,6,1,30,1,28,2,30,1,28,2,30,1,28,5,30,2,28,2,30,1,28,4,30,2,6,1,30,1,28,8,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,12,30,2,28,8,29,1,28,3,30,2,28,9,30,2,6,1,30,1,28,2,30,1,28,4,30,5,6,1,30,4,28,1,6,1,7,1,8,1,29,1,6,1,28,12,30,1,28,3,30,1,28,1,30,2,28,13,30,1,28,6,30,2,28,4,30,1,28,1,30,1,28,4,30,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,5,6,2,30,1,28,25,30,1,28,6,30,1,28,4,30,1,28,6,30,1,28,4,30,1,28,8,30,1,17,5,10,1,12,1,11,1,17,34,16,1,11,3,17,1,11,4,9,2,13,1,8,1,13,1,9,2,7,1,9,1,10,1,9,4,10,1,9,3,24,1,9,2,24,1,28,1,27,1,26,1,27,1,24,1,26,1,27,2,26,1,27,1,29,2,27,1,26,1,28,1,6,1,29,1,28,17,6,1,11,1,17,1,16,1,17,6,12,1,17,1,11,1,17,14,13,2,28,1,6,1,30,2,28,1,6,1,30,2,28,7,30,1,28,21,30,3,28,2,6,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,29,1,7,1,29,1,30,1,6,1,30,1,7,1,29,1,13,1,6,2,13,3,7,1,13,1,8,1,13,5,11,1,13,1,9,3,8,1,10,1,11,1,8,1,9,2,13,1,8,1,13,1,9,1,11,1,17,1,9,3,13,1,9,1,8,1,13,1,30,1,28,5,30,2,28,2,30,3,29,1,28,1,30,4,29,1,30,1,6,1,29,1,30,1,29,1,6,2,30,1,13,2,9,1,6,1,13,2,6,1,29,1,13,2,6,2,13,1,29,1,6,2,30,1,6,2,28,1,6,1,30,1,28,4,30,4,28,1,29,1,6,1,30,2,6,1,28,1,29,1,6,3,30,1,6,1,30,1,6,2,30,1,28,1,30,1,28,4,30,1,28,8,30,1,28,1,30,1,28,7,30,1,28,3,30,6,6,1,30,1,6,2,8,2,9,2,8,1,9,1,12,1,17,1,9,1,11,1,12,1,11,2,8,1,9,1,8,1,13,1,7,1,9,1,13,2,8,1,13,1,8,2,13,1,8,1,6,1,11,1,9,3,11,1,9,2,8,1,9,2,8,1,13,2,9,1,13,1,6,1,13,1,6,2,7,1,6,3,13,1,6,4,7,1,6,4,28,1,6,1,29,1,30,2,28,1,6,1,30,1,28,1,30,2,6,1,30,2,29,1,30,2,28,1,30,4,28,1,29,1,28,1,6,1,30,2,28,79,30,1,28,1,30,1,28,1,29,1,30,1,29,1,30,1,6,2,29,1,6,3,7,1,13,1,6,1,13,3,8,1,13,1,8,1,10,2,9,2,8,1,9,1,11,1,9,1,11,1,9,2,10,1,9,4,8,1,9,1,13,1,9,1,13,1,9,2,8,1,9,1,13,1,9,1,8,1,9,1,8,1,13,2,8,2,13,1,17,1,9,4,8,1,9,4,13,1,10,1,8,1,13,1,8,1,9,3,8,2,9,3,8,1,13,1,8,1,13,1,6,1,30,2,28,1,30,1,28,1,6,1,28,1,6,1,8,1,17,8,11,1,17,1,16,2,17,1,10,1,17,1,11,1,17,1,16,1,17,1,11,2,16,1,11,2,10,1,11,1,17,1,11,1,17,1,12,1,16,1,10,2,11,1,16,1,11,1,9,3,16,1,8,1,12,1,11,1,12,1,11,1,12,1,10,1,9,1,10,1,11,1,9,3,13,1,11,1,13,1,9,1,8,2,11,1,9,3,8,1,9,1,13,1,8,1,9,1,13,2,8,1,13,2,9,1,8,1,13,1,9,2,8,1,13,1,8,1,13,3,9,1,13,1,9,2,8,2,13,1,6,2,13,4,8,1,13,8,6,1,9,1,13,4,8,1,13,4,7,1,9,1,13,3,8,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,7,1,28,16,30,1,28,17,9,1,17,2,9,1,13,3,28,2,6,1,28,13,6,1,29,1,13,1,8,1,9,1,11,2,10,1,17,2,28,1,30,1,28,2,30,1,28,1,8,1,13,2,28,42,30,1,8,1,13,1,30,1,28,2,9,1,17,3,13,1,6,1,30,1,29,1,30,1,7,1,13,2,9,1,17,3,30,1,28,5,8,1,28,1,29,1,28,11,}, {13,1,28,1,30,3,28,2,6,1,16,1,9,1,28,12,29,1,13,1,28,4,30,1,28,33,30,1,24,1,12,1,17,1,6,2,28,1,30,1,28,1,8,1,13,1,9,2,8,1,13,3,12,1,9,1,17,1,11,1,17,3,16,2,8,1,6,2,30,1,28,1,30,2,6,1,9,1,8,1,13,4,29,1,8,1,17,4,11,1,9,1,8,1,9,1,10,1,9,1,10,1,11,1,17,1,10,1,17,3,13,1,28,1,30,1,13,1,6,2,8,1,7,1,28,37,6,1,8,1,24,1,13,1,9,1,13,4,7,2,13,1,17,8,9,2,13,1,6,1,7,1,30,1,6,2,28,1,6,1,30,1,6,2,8,1,13,2,8,1,9,2,8,1,9,2,11,1,16,1,11,1,30,1,28,18,30,2,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,3,29,1,28,1,30,1,29,1,30,4,6,1,29,1,6,1,29,1,30,3,28,1,30,1,13,1,9,3,10,1,9,7,13,2,8,1,13,1,9,1,13,3,9,1,8,4,9,1,13,1,9,4,8,1,13,1,9,2,8,1,9,2,8,1,9,2,11,1,16,3,10,1,11,1,12,1,17,6,11,1,17,3,12,1,17,1,11,1,12,2,11,1,17,1,12,1,11,1,10,1,12,1,10,1,9,2,12,1,9,1,12,1,10,1,12,1,11,1,10,2,11,1,9,1,12,1,9,1,12,1,17,1,9,1,12,2,9,1,12,1,24,1,12,1,9,1,10,1,9,1,13,1,11,1,24,1,17,2,9,1,8,2,10,1,12,1,10,1,8,1,9,1,8,1,9,1,8,1,24,1,11,1,9,2,10,1,9,1,8,1,9,1,24,1,8,1,10,1,9,3,24,1,10,1,13,1,9,1,8,1,24,1,10,2,13,1,24,1,9,1,24,2,8,1,24,1,13,1,24,1,12,1,11,1,9,2,24,1,9,3,17,1,9,4,24,1,12,1,8,1,9,1,12,1,13,1,9,1,12,1,9,1,12,2,17,1,11,1,10,1,11,1,17,1,11,1,17,3,12,1,10,1,12,3,9,1,17,1,10,1,12,2,11,2,12,1,17,3,10,1,17,1,10,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,10,1,11,2,17,2,9,1,17,1,11,1,10,1,11,2,9,1,11,1,9,1,24,1,9,1,8,1,24,1,9,1,24,1,13,1,9,1,8,2,13,1,9,1,13,1,8,1,24,3,8,2,13,1,8,1,9,3,24,1,9,2,13,1,9,7,24,1,10,1,9,2,8,1,24,1,8,1,24,1,13,2,8,1,6,1,13,1,6,1,7,1,13,2,6,2,7,1,6,1,7,1,30,1,7,2,6,2,7,1,13,1,7,1,13,1,6,2,13,1,6,1,7,6,6,1,7,1,29,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,13,2,8,1,11,1,12,1,9,2,11,1,9,1,8,1,9,1,11,1,9,1,10,2,8,1,9,1,17,14,12,1,17,1,12,1,17,2,10,1,17,1,9,1,10,1,12,1,9,1,8,3,24,1,13,2,8,2,13,1,8,1,9,1,13,3,8,2,13,2,8,1,7,1,13,1,29,1,6,1,13,1,6,1,7,1,30,1,6,2,29,1,6,3,30,1,6,1,30,1,6,1,29,1,6,2,13,1,29,1,6,1,13,1,8,1,6,2,7,1,6,1,7,1,8,1,13,2,6,1,13,1,6,3,7,1,6,4,30,1,29,1,6,2,7,1,6,1,30,1,29,1,6,6,7,1,30,1,6,1,7,1,6,3,29,1,6,1,7,1,30,1,6,2,30,1,28,2,29,1,30,2,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,7,1,29,2,30,5,6,1,30,1,28,1,6,1,30,1,28,1,30,2,28,5,30,3,28,2,30,1,28,5,30,1,28,2,30,1,29,1,30,1,13,3,11,1,9,4,10,1,9,1,10,1,17,2,12,1,11,1,12,4,11,1,17,4,12,1,17,11,12,1,17,3,10,1,11,1,9,1,10,1,9,1,12,1,17,2,11,2,17,2,9,2,11,1,9,1,12,1,8,1,9,2,10,1,11,2,12,1,9,1,10,4,11,1,17,4,12,1,17,1,12,1,11,2,10,1,12,3,10,1,9,1,11,1,12,1,11,1,17,9,10,1,11,2,17,1,12,2,10,1,17,1,12,1,17,1,11,1,9,1,12,1,10,1,11,1,12,1,9,1,24,1,12,2,24,1,11,1,8,1,9,1,8,1,24,1,9,1,8,1,13,1,7,1,6,1,13,1,6,1,29,1,6,6,13,1,6,2,7,1,13,1,7,2,8,1,13,1,8,1,13,1,24,1,13,3,8,1,13,1,24,1,8,5,13,1,8,1,24,1,8,1,13,1,8,1,12,1,11,1,6,1,28,1,6,1,30,1,28,1,30,2,29,1,30,2,28,2,30,1,28,2,30,2,28,1,30,1,29,1,30,1,28,1,6,1,13,3,28,1,30,6,29,1,28,1,30,3,28,4,30,4,28,2,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,5,6,1,28,5,30,1,28,4,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,6,1,30,2,28,4,30,1,28,1,30,1,28,4,30,1,28,1,29,1,30,1,28,4,6,3,30,1,28,3,6,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,2,29,1,6,1,30,1,6,1,30,2,6,1,30,6,28,1,30,1,28,1,30,1,28,1,30,3,13,4,8,1,13,1,30,1,28,1,30,1,28,1,30,2,6,1,7,1,13,2,6,1,30,2,6,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,5,30,2,28,1,30,1,28,3,6,1,28,1,30,1,28,2,7,1,30,2,28,1,30,3,28,1,30,1,28,2,30,2,6,1,30,1,28,1,29,1,30,3,28,1,6,1,28,9,30,1,28,5,30,1,28,1,30,3,28,10,30,1,28,1,6,1,13,2,6,1,28,13,6,2,13,1,28,5,30,1,28,3,30,1,28,2,30,2,6,1,30,5,28,1,6,1,30,2,28,1,30,1,28,7,30,1,28,14,30,1,28,8,30,2,28,8,30,1,28,15,30,3,28,4,30,1,28,2,30,1,28,7,6,1,28,5,30,1,28,1,30,1,28,4,30,2,28,2,30,1,29,2,6,2,28,1,6,1,30,1,28,1,30,1,13,3,30,1,28,4,30,1,28,7,29,1,28,1,30,2,28,28,30,1,28,8,13,1,6,1,28,1,30,1,28,11,29,1,6,1,30,1,28,8,30,1,28,12,30,1,28,13,30,1,28,1,30,1,28,8,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,1,16,1,17,4,10,1,12,2,17,37,11,1,17,2,11,1,17,1,11,2,9,1,8,3,9,6,8,1,9,1,11,1,9,1,11,1,10,2,9,1,8,1,10,1,8,1,26,1,25,5,29,1,27,4,30,1,26,1,29,2,7,1,28,18,30,1,11,1,17,1,16,1,17,5,11,1,17,3,10,1,17,3,11,1,16,1,17,9,9,1,13,2,30,1,13,1,30,2,28,1,30,1,28,23,30,1,28,6,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,3,30,1,28,1,30,2,29,1,30,2,28,1,30,2,28,1,30,1,29,2,28,1,6,1,30,1,7,1,6,2,30,1,6,1,29,1,6,3,13,2,8,3,13,3,9,1,8,3,11,1,9,1,13,1,11,1,9,1,8,2,9,1,8,1,9,1,8,2,9,1,17,2,10,1,8,2,9,1,13,1,9,1,13,1,30,1,28,5,30,2,28,2,30,2,6,2,30,2,6,1,28,1,30,2,29,1,30,4,7,1,13,4,7,1,13,1,28,1,29,1,30,1,6,2,29,1,13,1,6,1,30,4,7,1,30,3,29,1,30,1,6,1,28,1,30,5,29,1,6,2,30,1,6,2,28,1,6,4,29,1,30,1,28,1,29,1,30,4,28,2,30,1,28,11,30,8,28,1,30,2,28,1,30,2,28,2,30,1,6,1,28,1,6,2,13,3,9,2,6,1,9,2,11,2,8,1,12,1,10,1,12,1,10,1,13,1,9,1,13,1,8,1,9,2,13,1,8,1,13,1,8,1,13,1,9,1,8,1,10,1,9,1,10,1,13,1,9,1,8,1,13,2,9,3,8,1,9,1,13,1,6,1,13,1,6,1,7,1,6,2,13,1,30,1,6,1,7,1,6,7,29,1,6,1,30,1,29,1,30,1,6,1,28,1,30,3,29,1,30,2,6,1,30,2,29,1,30,1,28,3,6,1,30,7,28,4,30,1,28,5,30,1,28,68,30,1,28,4,30,2,28,1,30,1,6,1,28,1,6,1,29,1,30,2,6,2,13,2,6,1,13,2,8,1,6,1,13,1,8,1,9,1,13,1,9,3,12,1,11,1,9,2,10,1,11,1,9,3,10,1,9,1,10,1,8,1,13,1,9,4,13,2,9,1,8,1,9,1,8,1,9,2,8,1,9,2,13,3,9,3,8,1,9,1,11,2,9,2,10,1,9,3,8,1,10,1,8,1,9,6,8,1,9,2,13,2,6,1,30,2,28,1,7,1,28,1,30,1,9,1,17,8,11,1,17,5,11,1,16,1,9,1,17,1,16,3,17,1,10,1,11,1,16,2,9,1,17,1,11,2,12,1,16,1,17,1,12,1,16,1,12,1,16,1,11,2,16,1,10,1,16,1,9,2,11,1,9,3,10,1,9,1,11,1,16,1,11,3,12,1,9,1,8,1,13,1,9,1,8,2,9,1,8,1,13,1,9,2,8,1,11,1,9,1,8,1,11,1,8,1,10,1,8,2,9,1,8,2,9,5,8,2,9,1,13,1,6,1,8,2,13,2,8,1,6,1,8,1,13,2,8,1,13,7,8,1,9,1,13,5,6,1,13,5,8,1,13,1,9,1,13,1,28,3,30,1,28,3,30,1,29,1,7,1,28,1,30,1,28,1,30,1,28,4,30,1,28,25,11,1,17,2,9,2,8,1,7,2,28,1,6,1,28,13,6,1,8,1,9,1,11,1,9,2,11,2,17,1,8,1,28,3,29,1,28,2,13,2,29,1,28,43,6,1,28,3,6,1,16,1,17,3,8,1,6,2,28,1,29,2,8,1,13,1,9,1,16,1,17,2,28,6,13,1,6,1,28,12,}, {6,1,29,1,6,1,28,1,30,1,28,1,29,1,8,2,7,1,28,10,29,1,13,1,29,1,28,39,29,1,13,1,8,1,7,2,30,1,28,3,29,1,17,1,9,1,24,1,13,4,9,1,17,1,12,1,17,3,11,1,17,1,16,1,10,1,13,1,28,1,6,1,30,1,29,2,6,1,13,1,8,2,7,1,6,1,13,3,11,1,17,4,10,1,9,1,8,2,13,1,10,1,9,2,11,1,17,1,11,1,17,1,13,1,28,2,6,1,13,1,7,1,8,1,13,1,28,37,29,1,28,1,13,1,17,1,9,1,8,1,7,1,13,3,7,1,6,1,12,1,17,7,9,2,13,1,6,2,29,3,30,1,6,1,8,1,13,1,29,1,13,2,7,1,8,1,9,4,12,1,9,1,16,1,17,1,28,19,30,4,6,2,30,1,28,1,30,4,29,1,6,1,30,1,6,1,13,1,29,1,6,3,30,1,6,2,29,1,30,1,28,2,30,1,13,1,8,1,11,1,9,1,10,1,17,1,13,1,9,1,11,1,9,1,8,5,13,1,8,1,13,1,8,2,13,6,8,1,13,1,8,2,9,2,8,1,13,1,8,3,11,1,9,3,11,1,8,1,11,1,16,1,12,1,11,1,16,1,17,6,12,1,11,1,17,1,11,1,12,1,11,1,17,2,12,1,17,1,10,1,12,3,17,2,10,1,12,1,9,4,12,1,9,2,12,1,8,1,9,3,10,1,17,1,11,1,9,1,17,1,11,1,17,1,24,1,10,1,24,1,9,1,10,1,12,1,11,1,8,1,9,1,24,1,8,1,12,1,9,1,8,1,9,1,24,2,8,1,9,1,8,2,13,1,12,1,9,1,10,1,8,2,10,1,8,1,10,1,9,1,10,1,8,2,9,1,13,1,9,1,24,1,10,2,9,1,13,1,9,1,11,1,10,1,8,1,9,1,8,1,10,1,8,2,24,1,9,2,17,1,9,1,24,1,9,1,8,1,13,1,9,1,24,2,9,1,10,1,13,1,24,1,9,1,8,1,24,1,12,2,24,1,9,1,10,1,9,1,12,1,9,3,12,1,10,1,11,1,12,3,9,1,17,1,10,1,9,1,12,1,10,1,9,1,24,1,17,2,10,2,17,1,10,1,17,1,9,1,17,1,10,1,11,1,10,1,9,1,10,1,12,1,17,1,11,1,9,1,17,1,9,1,10,3,11,1,10,1,11,1,9,1,24,1,12,1,9,1,13,1,9,3,13,1,9,1,8,2,9,1,8,2,13,1,9,1,8,2,13,1,8,1,13,1,8,3,24,1,13,2,8,2,9,1,8,1,13,1,8,1,9,1,8,1,10,1,9,1,13,1,9,1,10,2,8,2,9,1,8,2,13,1,8,1,13,1,7,1,13,2,6,1,7,2,6,4,29,2,30,2,29,2,6,3,7,2,6,1,7,4,6,5,30,1,6,1,30,2,29,1,30,1,29,2,6,1,29,1,6,1,29,1,13,1,8,1,12,1,10,1,9,6,10,1,9,1,8,1,10,1,9,1,10,1,17,15,12,2,11,1,17,1,12,1,10,1,12,1,9,1,10,1,8,2,24,1,13,1,9,1,8,1,7,1,13,2,8,1,13,4,8,1,13,1,8,1,13,4,7,1,6,1,8,1,6,1,29,1,6,2,29,1,13,1,29,1,6,1,29,1,6,2,7,1,29,1,30,1,6,2,29,1,30,1,6,1,30,2,6,4,7,1,6,1,13,2,29,1,6,1,13,1,7,1,6,1,7,1,13,1,6,2,7,1,29,2,6,1,29,1,6,3,30,1,6,1,29,1,30,1,6,1,28,1,6,5,29,1,6,1,30,1,6,2,30,1,29,2,30,2,28,3,30,1,28,13,30,1,28,10,30,1,28,2,30,1,28,1,30,4,28,1,30,1,6,3,30,1,29,1,6,2,30,1,29,2,30,1,28,3,30,1,28,1,30,1,28,3,30,1,29,1,28,1,30,1,6,1,30,1,28,4,30,1,28,1,30,1,29,1,30,1,6,1,29,2,13,4,8,2,9,4,8,1,9,2,11,1,8,1,11,3,12,1,17,1,11,1,17,3,12,1,17,15,12,1,9,1,17,1,11,2,9,1,11,1,17,2,11,3,17,1,11,1,12,1,11,7,10,2,9,2,11,1,9,1,12,1,9,1,11,1,12,1,10,1,12,2,17,3,9,1,12,1,10,1,12,2,17,1,10,1,12,2,10,1,9,1,12,1,17,8,9,1,17,1,11,1,12,3,10,1,11,2,9,1,10,1,17,1,12,1,9,1,17,1,12,1,9,5,24,2,8,3,24,1,9,1,13,1,24,1,13,2,6,1,7,1,13,1,29,1,6,1,7,1,30,1,29,1,6,1,7,1,30,1,7,2,6,1,13,1,7,1,13,2,11,1,24,1,13,1,8,1,13,4,24,1,13,1,8,1,13,1,8,2,13,2,8,2,9,2,8,1,17,1,30,1,28,1,30,2,28,1,6,1,30,1,29,1,30,1,28,3,6,1,30,2,28,2,30,2,28,1,30,2,8,1,6,2,7,1,30,3,28,2,30,5,28,1,30,3,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,3,30,2,28,1,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,7,30,1,28,3,30,2,6,1,30,3,28,4,30,1,28,3,30,1,28,4,30,2,28,1,30,3,28,5,30,3,28,4,30,1,28,3,6,1,28,1,30,3,28,1,30,1,28,1,30,4,6,1,28,1,30,5,6,1,30,1,13,1,28,3,30,2,28,2,30,1,28,1,13,1,30,1,13,3,6,1,13,1,30,1,6,2,13,1,30,5,28,2,30,5,28,1,30,1,28,3,30,2,6,1,28,7,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,4,30,5,28,1,6,1,30,1,6,1,30,8,28,1,30,2,28,2,30,1,28,2,30,4,28,1,30,4,28,3,30,1,28,8,30,1,28,1,30,1,7,1,13,1,30,1,28,7,30,1,28,5,30,1,28,1,6,1,13,1,30,1,28,3,30,1,28,2,30,1,28,3,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,2,28,9,30,1,28,3,30,1,28,11,30,1,28,2,30,1,28,1,30,1,28,9,30,1,28,11,30,1,28,5,29,1,28,15,30,1,28,3,30,2,28,1,30,2,28,1,6,2,28,2,30,1,28,1,30,1,8,1,13,1,30,2,28,1,29,1,30,1,28,9,30,1,28,2,6,1,28,1,30,1,28,10,30,1,28,4,30,1,28,3,30,1,28,5,30,1,28,2,30,1,28,6,13,1,30,1,28,9,30,1,28,3,13,1,29,1,30,1,28,7,30,1,28,31,30,1,28,14,30,1,28,1,30,3,28,1,13,1,17,4,10,1,9,1,17,38,11,1,17,2,11,1,17,1,11,2,9,1,10,1,8,1,9,2,11,1,13,1,9,2,11,1,9,2,8,1,9,3,11,1,9,1,8,1,12,1,24,1,26,1,27,1,26,1,27,1,25,1,8,1,27,2,25,1,26,1,27,1,29,1,27,1,29,1,28,1,8,1,30,1,28,17,30,1,9,1,17,1,11,1,17,4,11,1,16,1,17,1,11,3,17,15,10,1,30,1,28,2,30,3,28,2,30,1,28,23,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,29,1,28,1,29,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,2,6,1,30,1,6,1,28,1,30,2,29,1,6,1,30,1,6,1,30,1,6,5,13,1,7,1,6,1,7,1,13,2,8,1,13,1,10,1,8,2,9,1,8,3,9,1,11,2,9,2,8,1,9,2,13,1,8,1,9,1,17,1,11,1,9,2,8,1,13,3,6,1,29,1,28,3,30,1,28,1,30,1,28,2,30,3,28,1,30,4,29,1,30,2,28,1,30,1,6,2,7,1,8,2,13,1,7,1,6,1,13,1,6,3,7,1,6,3,30,2,6,3,29,1,30,1,29,1,30,1,28,1,6,1,30,2,28,1,30,4,29,1,30,2,28,1,30,2,6,1,7,1,6,3,30,1,6,1,30,2,6,1,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,5,30,3,28,5,30,1,28,2,30,2,28,1,30,2,7,1,6,2,13,4,8,2,9,1,12,1,11,2,9,2,8,2,13,1,8,1,13,2,8,3,13,5,10,1,13,1,9,1,13,1,9,4,13,2,8,1,13,1,8,1,13,1,8,1,13,2,6,1,13,1,7,1,6,7,13,1,6,2,30,1,6,1,30,1,6,1,7,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,10,6,1,28,1,30,1,6,1,28,1,30,3,28,1,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,71,30,1,28,3,29,1,28,1,30,2,29,1,6,1,29,2,6,1,7,1,6,1,13,7,8,2,9,1,8,1,11,1,9,2,11,2,9,2,11,2,9,1,8,1,9,2,8,6,9,1,13,2,9,1,13,1,9,1,13,1,9,6,10,1,9,1,8,2,9,2,8,2,9,3,8,1,11,1,8,1,9,7,13,1,9,4,13,2,9,1,6,1,30,3,28,1,9,1,17,8,16,1,17,8,16,2,17,2,16,1,9,1,16,1,17,1,16,2,11,1,17,1,11,1,16,3,11,1,9,1,11,1,16,1,12,1,11,1,17,2,10,1,11,1,9,2,11,2,9,1,8,1,9,1,8,1,9,1,8,2,9,2,8,1,9,1,10,1,9,6,11,1,9,1,8,1,9,1,8,3,13,2,8,1,13,1,9,4,13,1,8,3,9,1,13,1,10,1,9,4,13,4,9,1,13,1,8,1,6,1,13,1,9,1,13,4,8,2,13,6,9,1,13,1,7,1,13,3,8,2,13,1,8,1,6,1,28,6,29,1,30,1,28,3,30,1,28,12,30,1,28,18,17,3,13,1,8,2,7,1,6,1,28,1,29,1,28,14,13,1,8,1,11,1,9,1,17,1,11,2,17,1,9,1,28,3,30,1,28,1,29,1,13,2,29,1,28,43,13,1,30,1,28,2,6,1,9,1,17,2,9,1,8,1,30,2,28,1,6,1,30,1,13,1,9,1,10,1,11,1,17,2,28,6,29,1,6,1,30,1,28,11,}, {28,1,30,5,7,2,9,1,16,1,28,10,30,1,13,1,28,41,24,1,8,1,10,1,6,1,30,1,28,2,29,1,30,1,10,1,12,1,24,1,13,1,7,1,13,2,9,1,17,5,16,3,8,1,9,1,6,1,30,1,6,1,28,1,30,2,24,1,8,1,13,1,6,1,13,1,6,1,13,2,11,1,17,4,9,1,11,1,13,1,9,1,13,1,10,1,11,1,10,2,12,1,17,2,8,1,13,1,7,1,13,2,7,1,13,2,28,37,6,1,29,1,8,1,12,1,11,1,8,1,6,2,29,1,13,1,7,1,13,1,9,1,17,6,16,1,11,1,13,1,8,1,7,1,13,1,6,4,28,1,30,2,6,1,13,1,29,1,13,1,8,1,9,2,11,1,9,1,11,1,16,3,29,1,28,18,6,1,30,5,28,1,30,3,29,1,30,2,6,1,30,1,6,3,29,1,30,1,6,2,29,1,6,1,29,2,30,1,28,2,13,1,8,1,9,4,8,1,13,2,8,1,9,1,8,1,13,1,9,1,13,4,9,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,9,2,8,3,13,1,9,1,11,1,9,3,13,1,8,4,10,1,9,2,12,1,16,1,17,1,11,1,16,1,17,9,11,1,10,1,17,1,12,1,17,1,9,2,10,1,11,1,10,2,9,1,12,1,10,1,9,1,10,1,9,6,12,2,10,1,9,1,10,1,17,1,9,1,12,1,9,2,12,1,9,1,12,1,11,1,12,1,24,1,9,4,24,5,8,1,10,1,13,2,9,1,13,1,9,1,24,1,8,1,11,1,13,1,24,1,8,2,13,1,24,1,9,3,8,2,24,1,9,2,8,1,9,1,24,1,8,3,24,1,8,1,9,1,8,1,24,1,8,1,24,1,8,1,24,1,8,1,24,1,10,1,13,1,8,3,9,1,8,1,24,1,10,1,8,1,13,1,8,1,9,1,8,2,24,1,12,2,10,1,24,1,10,1,12,1,9,2,17,1,9,1,24,1,12,2,9,1,12,1,24,1,10,1,17,1,11,1,9,1,17,1,10,1,11,2,17,1,10,1,17,1,10,1,11,1,12,1,9,1,11,1,17,1,12,1,10,1,12,1,11,1,10,1,12,2,11,1,9,1,10,1,9,1,11,1,9,3,10,1,24,1,8,1,24,1,8,3,13,1,9,1,24,1,8,3,13,1,6,1,24,1,8,1,13,1,6,1,8,1,13,4,24,1,7,1,8,1,13,1,11,1,13,2,8,2,9,1,13,1,8,1,9,2,13,1,8,3,24,2,13,1,8,1,13,1,7,1,8,1,13,2,6,2,13,2,6,1,29,2,6,1,29,2,30,2,6,1,13,1,30,1,29,1,6,6,7,1,6,1,7,1,6,2,7,1,6,2,7,1,6,1,30,1,6,1,30,2,29,1,28,1,30,1,6,1,30,1,29,1,6,2,9,1,11,1,9,1,11,1,10,3,9,1,11,1,9,3,10,2,9,1,12,1,17,10,12,1,11,1,17,3,12,1,9,1,10,1,13,1,12,1,8,1,13,1,24,1,13,1,8,1,9,1,8,1,24,1,9,1,8,1,24,1,8,2,13,6,7,1,13,2,6,1,8,1,29,2,6,2,7,1,29,1,30,1,6,4,29,1,30,1,28,1,30,2,6,2,30,1,6,4,30,1,13,1,6,1,7,1,13,1,6,1,7,2,13,1,6,1,7,1,13,1,6,2,7,1,6,1,7,1,6,2,30,1,7,1,6,2,30,1,6,1,30,1,29,1,30,2,6,1,13,1,30,1,6,2,29,2,30,1,28,1,6,1,29,1,30,1,6,1,28,1,30,4,28,12,30,1,28,4,30,1,28,4,30,3,28,1,30,1,28,1,30,2,28,1,30,4,6,1,30,1,6,1,7,1,30,1,29,1,30,1,29,2,6,2,29,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,3,30,2,6,1,28,1,30,5,6,1,30,2,7,1,13,2,7,1,13,2,7,1,13,1,8,2,9,1,8,1,9,1,11,2,12,1,10,1,9,1,11,1,10,3,11,1,17,1,12,1,11,1,12,1,17,1,12,1,17,1,11,1,12,1,17,14,11,1,9,1,17,1,11,1,17,2,11,2,8,1,12,1,10,1,9,2,11,3,9,1,17,1,11,2,9,1,12,1,10,1,11,1,9,2,12,1,10,3,11,1,17,5,11,1,12,1,11,1,12,1,9,1,17,1,9,1,12,1,11,2,17,10,11,1,9,1,17,1,10,2,17,1,12,1,10,1,17,1,9,1,12,1,10,2,24,1,9,3,11,1,24,1,10,1,9,1,11,1,24,1,9,2,13,1,9,1,13,1,8,1,13,1,8,1,13,1,7,2,6,3,29,1,7,1,29,1,6,4,7,3,8,1,13,1,9,2,8,1,9,1,13,1,24,2,8,1,9,1,13,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,10,1,8,1,9,2,16,1,30,1,28,1,6,1,30,2,29,1,6,1,30,2,28,1,30,3,28,1,30,2,28,1,30,2,29,1,13,1,6,1,9,1,6,1,29,1,6,2,30,5,6,1,28,1,30,1,28,1,30,2,28,2,30,5,28,2,30,1,28,2,6,1,28,2,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,8,30,2,28,5,30,1,28,1,30,2,28,3,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,5,30,1,28,2,30,2,28,3,30,1,28,2,29,1,28,1,30,1,28,5,30,2,28,2,30,1,28,1,6,2,30,3,28,1,6,1,30,2,28,1,30,2,28,5,6,1,30,3,28,3,30,1,6,2,30,1,6,1,13,2,9,1,13,1,6,1,13,2,30,1,6,2,7,1,28,2,6,1,28,1,6,1,30,5,28,4,30,1,28,4,13,1,28,3,30,2,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,4,30,1,28,2,30,2,6,1,30,1,6,2,30,7,28,1,29,1,30,1,28,3,30,1,28,1,30,1,28,1,13,1,28,2,30,1,28,1,6,1,30,1,28,3,30,1,28,8,30,1,8,1,13,1,28,1,30,1,28,12,30,2,6,1,11,1,28,1,6,1,28,2,30,1,28,1,30,1,28,5,30,1,6,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,3,28,1,6,1,28,1,29,1,30,5,28,7,30,1,28,3,30,2,28,8,30,1,28,6,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,16,30,1,28,1,30,2,28,9,30,1,28,16,30,1,6,2,30,1,28,1,30,4,6,2,16,1,28,1,30,1,28,2,30,1,28,3,30,1,28,7,30,1,28,1,30,1,28,2,30,3,28,5,30,2,28,2,30,2,28,4,30,1,28,5,30,1,28,3,30,3,28,3,6,1,28,7,30,1,28,2,30,1,28,2,30,1,9,1,28,9,30,1,28,4,30,1,28,9,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,13,30,1,9,1,17,4,10,1,9,1,17,9,16,1,17,6,11,1,17,19,11,1,17,4,16,1,11,2,16,1,11,1,9,1,11,1,8,1,9,1,8,1,13,1,8,2,9,1,11,1,9,1,13,2,17,1,10,1,11,1,9,3,10,1,26,1,8,1,27,1,25,1,27,1,29,1,27,2,26,2,30,1,27,3,6,1,24,1,6,1,28,18,13,1,17,1,16,1,17,6,11,2,17,1,16,1,17,16,8,1,30,2,28,1,30,1,28,1,30,1,28,6,30,1,28,15,30,1,28,5,30,5,6,1,30,6,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,5,28,1,30,1,6,1,30,2,29,1,6,1,29,1,30,2,29,1,7,1,6,2,13,4,8,1,13,1,8,4,13,1,8,1,9,1,13,1,8,1,13,1,9,1,11,1,13,1,11,1,8,1,9,3,13,3,9,1,11,1,17,1,11,1,8,1,9,2,8,1,13,2,7,1,30,1,28,1,30,1,28,1,30,3,29,1,30,4,6,1,30,2,28,1,6,1,30,4,6,2,8,1,9,1,13,2,6,2,30,1,6,6,30,2,13,1,30,2,6,1,30,1,6,3,28,1,6,1,30,3,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,13,1,7,1,30,1,29,1,6,1,29,1,30,1,6,2,29,1,28,2,30,2,28,1,30,1,28,9,30,1,28,2,30,1,28,7,30,1,28,1,6,1,30,5,6,1,13,1,7,1,13,1,6,1,8,2,9,1,7,1,11,1,17,1,9,2,11,2,9,1,13,1,9,2,13,1,8,1,13,2,8,1,9,1,8,2,13,1,11,1,13,2,9,2,13,4,8,1,13,2,7,1,13,2,8,1,13,2,6,1,13,1,7,2,6,4,29,1,6,2,30,1,6,1,7,1,28,1,6,1,30,1,6,1,7,1,28,1,6,1,30,1,29,1,30,1,28,1,29,1,30,1,28,1,30,1,29,2,6,1,30,3,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,13,30,1,28,72,30,1,28,1,30,1,29,1,28,1,30,5,29,1,30,1,6,1,7,1,6,2,13,2,6,1,7,1,13,4,8,1,13,1,8,1,9,1,11,1,9,2,10,1,11,1,10,1,9,1,11,2,9,1,13,1,9,2,13,1,10,1,8,1,9,2,8,2,9,4,13,1,8,1,13,2,9,1,13,1,9,1,8,1,9,1,13,1,9,3,11,1,9,1,11,1,8,1,9,1,13,1,8,1,10,1,13,1,9,3,8,1,9,3,10,1,8,1,9,1,13,1,9,2,8,1,9,2,6,1,30,2,11,1,17,11,16,1,17,6,16,1,17,1,16,1,10,1,17,2,11,1,10,1,16,1,11,1,16,2,11,1,16,1,9,1,10,1,17,1,9,1,11,3,9,1,10,1,11,1,9,1,11,2,12,1,16,1,10,1,11,1,10,1,16,1,9,1,10,1,9,2,11,1,9,2,8,3,9,1,8,3,9,6,10,1,9,1,8,1,9,2,8,1,10,1,13,3,9,1,13,1,8,1,13,2,8,1,13,1,9,1,8,1,13,5,8,1,13,1,8,1,13,1,8,1,13,3,6,1,8,1,13,11,7,1,13,1,8,1,13,1,9,1,8,1,13,1,30,1,28,3,30,5,28,2,30,1,28,14,30,1,28,17,16,1,17,2,9,2,13,1,6,1,30,1,6,1,28,12,30,1,29,1,30,1,8,1,9,1,11,1,9,2,16,1,11,1,17,1,9,1,28,3,30,1,28,1,6,1,13,2,6,1,28,48,17,2,11,1,17,1,8,1,30,1,28,1,30,1,28,1,7,1,8,2,11,1,17,2,12,1,29,1,28,4,30,2,7,1,28,12,}, {30,1,13,1,7,1,6,1,29,1,7,1,29,1,9,1,17,1,11,1,6,1,28,7,29,2,28,1,30,1,28,40,6,2,8,1,10,1,29,1,30,1,28,1,30,1,28,1,7,1,12,1,11,1,8,1,24,1,13,3,10,1,11,1,17,6,11,1,8,1,29,1,28,1,30,1,28,1,6,1,30,2,8,1,9,1,6,2,13,1,6,1,13,2,12,1,17,4,9,1,11,1,8,1,9,1,10,1,8,1,9,2,17,1,11,1,17,2,13,1,6,1,13,1,6,1,7,1,13,1,10,1,8,1,28,37,6,2,8,1,9,1,17,1,8,1,6,2,29,1,6,2,7,1,9,1,17,7,9,2,8,1,6,1,13,1,6,1,30,1,6,2,28,1,13,3,6,2,8,1,13,1,8,2,9,2,16,1,11,1,10,1,16,1,13,1,28,18,6,1,30,5,28,1,30,4,28,3,6,3,30,1,6,1,30,2,6,1,30,3,28,3,30,1,13,1,8,1,9,2,10,1,9,1,8,3,13,1,9,2,13,1,8,1,13,1,8,3,13,1,9,1,8,2,9,2,13,1,8,1,9,2,8,1,9,1,13,1,8,1,11,1,8,1,9,1,13,1,9,1,13,1,9,8,16,1,17,2,16,1,12,1,17,4,12,2,17,1,12,1,17,1,12,1,17,1,12,1,9,1,17,1,12,1,11,1,9,1,10,1,9,2,10,1,12,1,9,3,8,1,10,1,9,3,8,1,9,3,10,1,11,1,9,1,12,1,9,1,17,1,10,1,9,1,10,2,9,2,24,1,12,1,8,1,11,1,9,1,10,1,8,1,9,1,8,2,9,1,8,1,9,1,8,3,9,2,8,2,9,1,13,1,12,1,24,1,13,3,8,1,13,2,8,2,13,1,9,1,13,1,24,1,11,1,8,2,10,1,13,1,9,1,8,4,24,2,8,3,24,1,10,1,8,3,9,1,8,1,10,1,13,1,24,1,13,1,9,1,8,2,9,1,13,1,24,1,7,1,17,1,24,1,9,1,24,1,12,1,9,2,12,1,9,1,17,1,10,3,12,1,9,2,10,1,8,1,10,2,9,1,12,1,9,1,10,1,12,1,9,1,10,1,17,1,9,1,12,1,24,1,11,1,9,2,10,1,17,1,9,1,10,1,17,2,8,1,9,1,10,1,9,2,24,1,9,2,24,1,9,1,24,1,8,1,13,1,9,1,6,1,8,1,7,2,8,1,13,1,6,1,13,1,8,1,13,1,7,1,13,2,6,1,29,1,7,1,6,1,13,3,24,1,8,1,9,1,13,1,8,1,13,1,8,2,13,1,8,1,7,1,8,1,13,1,7,1,6,3,13,2,8,1,13,2,6,1,13,1,30,1,13,1,6,2,29,1,30,2,29,1,30,5,29,1,6,1,30,1,29,1,6,2,29,1,7,1,6,2,29,2,6,5,30,1,29,1,30,2,28,1,30,1,6,2,30,2,7,1,13,2,12,1,9,1,10,2,9,1,11,1,10,1,17,1,12,1,8,1,9,3,11,2,17,14,11,1,17,1,10,1,17,1,11,1,10,2,8,3,9,1,13,2,24,1,8,2,9,1,13,1,8,1,13,2,8,1,24,1,8,1,7,1,8,2,6,1,13,1,7,1,6,1,7,1,29,1,28,1,6,1,30,2,29,1,30,1,28,3,29,1,28,1,6,1,30,1,29,2,30,2,6,1,29,1,30,1,6,2,7,1,6,1,7,1,29,1,13,1,6,5,7,1,6,2,29,1,7,1,6,1,29,1,30,1,6,1,30,1,6,1,29,3,30,2,29,1,30,1,29,1,30,2,6,5,30,2,29,1,6,1,30,1,28,5,30,1,28,7,30,2,28,6,30,1,28,4,30,1,28,2,30,2,28,2,30,1,6,1,28,3,30,1,6,4,30,5,29,2,30,3,29,1,28,6,6,1,30,1,29,1,28,3,6,1,30,1,28,2,29,1,30,1,29,1,6,1,13,1,30,1,6,1,13,1,30,1,13,1,6,1,13,1,8,1,9,3,10,1,9,4,8,1,9,1,11,1,9,2,11,3,9,1,17,1,12,1,11,3,17,1,12,2,17,1,12,1,17,12,10,1,11,1,17,3,12,1,11,1,12,2,11,1,9,1,17,1,9,1,11,1,8,1,17,1,12,1,17,1,10,1,12,1,11,2,9,1,10,1,9,1,10,2,9,1,11,3,12,2,17,1,12,2,11,1,17,1,9,1,12,3,9,1,17,1,11,1,12,4,17,9,11,1,8,1,11,1,12,1,9,1,10,1,17,1,9,2,11,2,10,1,11,1,9,1,11,1,10,1,8,1,24,1,9,3,8,2,9,1,13,2,8,1,13,3,6,1,13,1,6,1,7,1,29,1,30,1,7,1,30,1,6,4,7,1,13,2,8,2,13,1,24,1,8,1,24,1,13,1,8,3,13,2,8,1,13,1,8,4,13,1,9,1,10,1,9,3,11,1,30,1,29,1,30,4,29,1,30,3,28,1,30,1,28,3,30,4,28,1,30,2,9,1,7,1,28,1,30,1,6,1,30,4,28,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,4,28,1,30,1,28,1,6,1,28,1,30,1,28,2,6,1,28,1,30,1,28,3,30,1,28,1,6,1,30,2,28,2,30,4,28,5,30,1,28,1,30,2,28,7,30,1,28,1,30,1,7,1,28,7,30,2,28,2,30,3,28,2,30,1,28,1,6,1,30,1,28,6,6,1,28,1,30,1,28,4,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,4,30,4,28,1,30,3,13,1,7,1,13,1,9,1,13,1,7,1,13,1,6,1,13,1,6,2,28,1,30,1,6,1,30,2,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,6,13,1,30,1,28,5,30,1,28,3,30,1,28,2,30,1,28,12,30,1,28,1,29,1,6,4,30,3,28,1,30,2,6,1,30,1,28,1,30,2,6,1,30,2,28,1,30,1,28,18,30,1,28,2,9,1,6,1,28,2,30,1,28,10,30,1,28,1,6,1,29,1,16,1,28,3,30,2,28,2,30,1,28,4,30,4,6,1,30,2,28,1,30,1,28,1,30,3,28,2,30,1,6,1,28,1,30,4,28,1,30,2,28,3,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,7,30,2,28,1,30,1,28,1,30,1,28,4,29,1,28,1,30,1,28,4,30,1,28,8,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,12,30,1,28,6,30,1,28,7,30,3,28,1,30,2,13,1,28,1,10,1,30,1,28,2,30,2,28,1,30,1,28,10,6,1,28,9,30,1,28,8,30,2,28,2,30,1,28,4,30,1,28,3,30,1,28,5,6,1,13,1,28,11,7,1,28,1,7,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,23,30,1,28,28,7,1,17,5,13,1,17,18,11,1,17,17,11,1,17,4,11,1,17,2,11,1,12,1,17,1,9,1,8,2,9,1,13,1,9,2,13,1,9,2,8,1,13,1,17,1,10,1,11,1,9,1,11,1,9,1,24,1,8,2,29,1,26,1,27,4,29,1,27,2,28,1,29,1,24,1,26,1,24,1,28,1,30,1,28,17,13,1,16,1,17,5,16,1,12,1,11,3,17,2,11,1,17,1,16,2,17,1,11,1,17,9,11,1,8,1,13,1,30,2,28,1,30,1,28,1,30,1,28,10,30,1,28,12,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,4,28,2,30,4,28,1,30,1,29,1,30,1,6,1,30,1,28,1,30,2,29,1,6,3,30,3,6,1,29,2,6,5,30,2,13,2,8,1,13,4,9,1,13,2,9,1,8,1,9,2,13,1,9,1,8,1,9,1,17,1,6,1,9,1,8,2,11,1,13,1,8,1,9,1,16,1,17,1,9,1,8,1,9,2,8,1,13,2,28,1,30,2,28,1,30,1,28,3,30,4,28,2,30,4,6,3,7,1,13,3,7,1,13,2,6,1,30,1,7,1,6,1,30,1,6,1,29,1,13,1,6,3,28,1,30,2,7,1,29,1,30,2,28,1,30,3,28,1,30,1,28,1,6,1,13,1,30,2,28,1,6,2,30,1,6,1,29,1,28,1,30,3,6,1,28,1,30,2,28,2,30,1,28,3,30,1,28,4,30,1,28,3,30,2,28,1,30,1,28,11,30,1,28,1,30,1,7,1,13,1,7,2,13,3,8,2,11,1,9,1,10,1,12,1,8,1,11,2,9,1,13,1,8,1,13,4,9,2,13,1,9,1,8,1,9,1,13,1,9,2,7,1,9,1,13,7,8,1,13,1,7,1,13,1,30,1,8,1,7,1,13,2,6,2,13,1,30,1,6,5,30,2,6,7,30,2,6,1,30,1,29,2,30,5,28,1,6,1,28,2,30,1,28,1,30,2,28,1,29,1,30,1,28,1,30,2,28,1,29,1,30,1,28,2,29,1,28,83,30,2,6,1,28,1,30,1,6,1,29,2,30,1,6,1,7,1,6,2,13,1,7,1,9,1,13,1,8,1,7,1,13,1,8,1,13,1,9,1,8,1,9,2,11,1,10,1,11,1,9,1,13,1,9,2,7,1,8,2,13,1,9,1,11,1,9,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,2,9,2,8,2,9,1,8,1,9,2,8,1,9,2,13,1,9,4,13,1,8,2,11,1,9,1,8,1,10,1,9,3,13,1,9,4,8,2,9,1,8,1,13,2,16,1,17,14,16,2,17,3,16,1,17,3,11,2,16,2,10,1,17,1,10,1,16,1,17,1,11,2,16,1,12,1,9,1,11,1,10,1,17,1,11,1,16,1,9,4,11,1,12,1,16,1,9,1,11,2,10,1,12,1,9,1,12,1,9,1,10,2,11,1,9,2,8,1,12,1,9,2,13,1,9,2,11,1,8,1,11,1,13,1,9,2,8,1,9,2,8,1,13,1,10,1,8,2,13,2,9,1,13,2,8,1,13,3,9,1,13,2,8,1,13,2,8,2,6,1,8,1,13,1,8,1,13,1,8,1,13,3,8,1,13,2,8,1,13,1,6,2,7,1,13,1,8,1,13,1,8,2,13,1,30,1,28,4,30,1,28,1,30,1,28,15,30,1,28,2,6,1,28,17,16,1,17,1,9,1,10,1,12,1,8,1,13,1,6,1,29,1,28,9,30,1,29,1,28,1,30,1,28,1,6,1,13,1,8,1,9,1,8,1,9,1,11,1,16,1,17,1,9,1,28,5,30,1,13,2,28,44,13,1,30,1,28,2,30,1,17,3,11,1,13,1,29,1,28,1,29,1,6,1,13,1,6,1,13,1,16,1,17,3,28,6,6,1,28,1,29,1,28,11,}, {6,1,7,1,6,1,30,1,28,1,29,1,6,1,29,1,17,1,13,1,6,1,28,1,30,1,28,4,30,1,28,45,6,1,10,1,9,2,30,2,28,2,30,1,8,1,12,1,10,1,8,1,13,2,9,2,12,1,17,1,16,1,17,1,16,1,17,3,9,1,13,1,7,1,28,1,29,1,28,2,29,1,24,2,7,1,6,1,7,1,6,2,29,1,11,1,17,4,11,2,9,3,13,1,10,1,11,1,17,4,11,1,7,1,13,1,7,2,8,1,6,1,24,1,28,37,30,1,13,1,8,1,24,1,17,1,9,1,6,2,29,1,6,1,29,1,8,1,13,1,17,7,12,1,9,1,13,2,6,1,13,1,6,2,29,1,28,1,6,1,7,1,13,2,7,1,13,2,9,4,17,1,16,2,17,1,13,1,28,18,29,1,6,2,30,1,28,1,30,3,28,1,30,2,6,1,30,2,29,1,6,1,29,1,30,2,28,1,30,5,6,1,28,3,7,1,9,3,8,1,13,1,8,1,13,1,8,1,11,1,9,1,8,1,13,1,8,3,13,2,9,3,8,2,13,1,9,1,13,1,8,1,9,1,8,1,13,2,8,1,9,2,8,1,11,1,9,1,8,1,9,2,8,1,13,2,8,1,9,3,10,1,16,1,17,1,9,1,11,1,12,2,17,4,16,1,17,1,12,1,11,1,17,1,11,1,9,3,10,1,12,1,9,4,10,3,12,1,11,1,9,1,12,1,9,1,11,1,10,2,8,1,24,1,9,1,11,1,10,1,9,1,24,2,12,2,24,1,9,2,24,1,9,1,24,1,9,1,24,1,9,2,8,1,24,1,9,2,8,1,9,1,24,1,8,1,9,1,24,2,9,1,13,1,24,1,10,1,24,1,8,2,9,1,13,1,8,1,9,2,8,1,11,1,8,1,13,1,9,1,8,1,13,2,9,1,8,4,9,1,24,1,8,3,10,1,24,1,13,1,9,1,13,1,8,1,13,1,24,2,8,1,13,2,8,1,13,1,7,2,24,1,13,1,24,2,8,3,9,1,10,2,9,1,24,2,8,1,12,1,10,1,17,1,24,1,12,1,9,1,10,1,9,1,24,1,10,1,24,2,10,4,9,1,12,1,9,1,10,2,9,1,10,1,17,1,11,2,10,2,9,3,10,1,9,1,24,1,12,1,24,1,8,1,9,1,24,2,9,1,13,1,7,1,24,1,8,1,13,3,7,2,13,1,7,1,6,1,7,2,6,1,7,1,6,1,13,3,8,1,13,1,7,1,13,2,7,1,8,1,11,1,13,9,8,2,6,1,7,1,29,1,13,1,7,1,6,2,30,1,6,3,30,1,29,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,29,1,30,3,28,1,30,2,29,1,6,4,30,1,29,1,6,1,29,1,30,1,6,2,30,2,28,1,30,1,28,1,30,2,29,1,7,2,13,1,17,1,9,1,11,1,10,1,9,1,10,1,8,1,17,1,9,1,10,1,8,1,10,1,9,1,11,1,9,1,17,13,12,1,9,1,17,1,10,1,12,1,11,1,9,2,24,1,8,1,24,1,8,1,13,2,24,1,9,1,8,1,9,1,24,1,8,1,9,1,6,1,13,2,8,2,13,2,7,1,13,1,7,1,30,1,6,1,7,1,29,1,6,4,29,1,7,1,30,2,6,1,30,8,6,3,30,1,8,1,7,1,6,1,28,1,13,1,29,1,30,1,29,1,7,1,30,1,6,2,7,2,6,1,30,1,6,3,29,2,30,1,6,1,29,1,6,2,30,1,6,1,29,2,6,1,30,1,28,1,30,1,28,1,7,1,6,2,28,1,30,2,29,1,30,1,28,1,30,1,28,7,30,1,28,3,30,1,28,4,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,4,29,1,6,2,29,1,30,1,29,1,30,5,29,1,30,2,6,2,30,4,29,1,28,2,30,2,28,1,30,2,28,1,6,2,30,2,6,1,30,1,6,1,30,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,2,8,1,9,7,8,1,9,2,8,1,9,2,8,1,10,2,12,3,11,1,10,1,9,1,10,1,11,1,12,2,17,1,12,1,17,10,12,1,17,5,10,1,9,1,17,1,12,1,9,1,10,1,9,1,11,1,9,1,11,2,10,1,12,1,17,1,12,1,11,1,12,1,9,1,11,2,9,1,10,1,11,1,10,1,17,1,12,1,17,2,11,1,9,2,12,2,17,2,9,1,17,2,11,1,17,3,12,1,17,1,12,1,17,5,12,1,10,1,9,1,11,1,12,1,11,1,17,1,10,1,24,1,10,1,9,1,12,1,10,1,24,1,12,1,10,1,9,1,24,1,12,1,13,1,12,1,9,1,10,1,8,2,24,1,13,2,24,1,6,1,13,2,6,1,13,1,6,1,29,1,6,2,7,1,30,1,7,2,6,1,13,1,6,1,8,1,24,1,13,2,24,1,9,1,13,1,9,1,8,1,13,1,24,1,13,2,9,1,13,1,9,1,6,1,8,3,9,3,8,1,9,1,11,1,9,1,28,4,30,1,28,1,30,3,29,1,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,1,10,1,6,1,7,1,28,2,30,1,28,1,30,1,28,2,30,3,28,2,30,2,28,1,30,2,28,1,6,1,28,1,30,2,28,4,6,1,28,1,30,2,28,2,30,1,28,7,6,1,28,1,30,1,28,7,30,1,28,6,30,1,28,2,30,1,28,1,30,2,28,3,30,1,6,1,30,3,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,2,30,3,6,1,28,6,30,1,28,1,30,2,28,5,30,1,28,5,30,3,28,2,30,5,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,4,28,1,30,1,13,1,6,1,29,1,6,2,30,1,6,1,28,1,6,2,7,1,6,1,28,1,30,2,28,15,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,28,1,30,2,28,5,30,2,28,4,30,3,28,2,29,1,30,1,29,1,30,2,28,1,30,1,28,1,30,2,6,1,30,3,28,1,30,1,28,2,30,3,28,5,30,1,28,5,30,1,28,2,30,1,28,1,30,2,28,1,30,1,11,1,28,3,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,1,6,1,30,1,16,1,28,2,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,30,2,28,1,6,1,30,1,29,1,30,8,28,1,30,2,28,1,30,2,28,1,30,2,28,5,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,4,6,1,28,3,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,1,30,2,28,2,30,2,28,5,30,1,28,2,30,1,28,15,30,2,28,9,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,6,1,30,1,8,1,6,1,28,2,30,2,28,7,30,1,28,2,30,2,6,1,28,19,30,1,28,1,30,1,28,6,30,1,28,8,29,1,13,1,28,8,30,4,28,1,6,2,28,1,30,1,28,16,30,1,28,6,30,1,28,7,6,1,28,2,30,1,28,3,30,1,28,5,30,1,28,4,30,1,28,4,30,1,28,4,30,1,16,1,17,3,12,1,9,1,17,12,16,1,17,30,10,1,17,2,8,1,11,1,13,1,9,2,13,1,9,1,8,2,9,4,11,1,12,2,10,1,9,1,12,1,10,1,24,1,8,1,25,2,27,2,29,3,30,1,26,2,24,1,8,1,6,1,12,1,30,1,28,12,30,1,28,1,30,1,28,3,13,1,17,2,16,2,17,1,11,1,16,1,17,2,16,1,11,1,16,1,17,4,11,1,17,2,11,1,17,10,9,1,13,1,30,2,29,1,30,1,28,1,30,1,28,1,30,2,28,20,30,1,28,3,30,1,28,1,30,1,28,1,30,2,29,1,30,1,28,1,30,3,6,1,30,2,28,2,29,1,30,1,6,1,30,5,6,1,30,1,29,1,30,2,28,1,6,7,13,1,6,2,7,1,13,3,8,1,7,1,8,1,9,1,13,1,10,1,13,1,9,1,13,1,8,1,11,1,9,4,11,1,8,1,10,1,13,3,9,1,11,1,12,1,11,1,9,3,8,1,9,1,13,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,3,28,1,30,3,28,1,6,1,13,2,8,1,9,1,8,1,30,1,6,6,28,1,6,1,13,1,6,1,28,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,6,3,29,1,30,2,28,1,30,4,6,1,30,1,6,2,13,1,6,1,30,2,6,1,28,4,30,1,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,1,30,3,28,2,30,4,6,1,28,1,6,1,13,1,6,1,13,2,6,1,13,3,8,1,17,1,11,1,8,1,12,1,9,1,10,1,8,1,11,1,8,2,13,1,9,3,8,3,13,4,8,2,9,1,8,1,9,1,13,3,6,1,13,1,30,2,6,1,29,1,13,3,7,1,13,3,6,2,30,2,6,1,29,2,6,2,30,1,6,1,30,1,28,1,7,1,30,3,29,1,28,1,6,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,29,1,28,1,30,1,29,1,30,1,28,2,30,1,28,5,30,3,28,1,30,1,28,5,30,1,28,75,30,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,30,1,6,5,13,1,6,1,7,1,13,2,7,1,13,2,8,1,13,1,8,1,13,1,8,1,10,1,9,1,10,1,9,1,11,1,9,2,8,1,9,3,13,1,9,1,8,1,9,2,13,1,8,2,13,1,10,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,8,2,11,1,9,3,8,1,9,1,10,1,9,1,7,1,11,1,13,1,9,9,8,1,9,1,8,1,9,2,8,1,11,2,9,4,17,19,16,1,17,1,11,1,17,1,16,2,17,1,9,1,17,1,11,1,16,1,17,5,11,1,16,1,11,1,12,1,16,1,11,1,16,2,11,1,16,1,12,1,16,2,9,2,11,1,8,1,12,1,9,1,8,1,10,1,9,4,13,1,10,1,8,1,9,1,8,1,9,2,11,1,9,3,11,1,9,1,11,1,8,1,9,3,13,1,9,1,8,1,9,1,8,1,9,1,8,3,9,1,8,1,13,1,9,1,13,2,8,1,9,1,7,1,8,1,13,1,8,1,13,3,9,1,8,1,7,1,13,2,8,1,13,10,9,2,8,1,13,3,30,1,28,2,30,1,28,8,30,1,28,31,14,1,17,1,9,1,13,4,29,2,28,9,29,1,28,2,6,1,29,1,6,1,9,3,8,1,10,1,11,1,16,1,17,1,13,1,28,6,13,2,7,1,28,43,30,1,28,3,6,1,17,3,9,1,13,1,30,1,28,2,13,1,6,1,13,1,8,1,11,1,17,3,28,6,13,1,30,1,28,12,}, {7,1,13,1,30,1,6,1,30,3,6,1,11,1,9,1,6,1,30,1,28,51,13,1,9,1,12,1,13,1,30,1,28,2,29,1,28,1,9,1,12,1,10,1,7,1,6,1,7,1,13,1,12,1,17,1,16,1,17,1,16,1,17,4,8,1,13,2,29,1,28,1,30,1,6,1,28,1,9,1,10,1,13,1,6,2,7,1,28,1,13,1,8,1,17,4,16,1,11,1,10,1,8,1,9,1,6,1,10,1,9,1,17,4,8,1,7,1,30,1,6,1,13,2,6,1,8,1,29,1,28,36,29,1,6,1,8,2,10,1,13,1,7,1,6,1,30,3,6,1,9,1,17,6,16,1,11,1,9,2,7,1,6,1,13,1,6,1,7,1,6,1,29,1,30,1,6,1,7,1,13,1,6,1,8,1,13,1,8,1,13,1,9,1,7,1,11,1,9,1,16,1,17,1,13,1,30,1,28,17,30,1,29,1,30,2,28,1,30,2,28,2,30,3,29,1,30,3,28,1,30,3,28,2,6,1,28,1,30,1,28,3,30,1,13,1,9,1,8,1,9,2,10,1,9,2,8,2,9,3,8,1,13,2,8,1,9,1,13,1,8,1,9,2,13,1,8,1,9,1,13,1,9,2,8,1,9,3,13,1,9,1,8,1,13,1,8,1,13,1,8,2,13,2,8,1,13,1,9,1,8,1,9,1,11,1,13,1,12,1,17,2,12,1,17,6,11,1,17,2,10,1,17,1,11,1,12,2,10,1,11,2,8,1,10,1,9,2,10,1,9,1,11,1,24,1,9,1,12,1,24,1,9,2,12,1,9,1,11,1,12,1,8,1,9,1,13,1,9,1,11,2,8,1,9,1,10,1,24,1,9,1,12,3,9,1,8,2,13,1,24,2,10,1,13,1,8,3,9,1,8,5,24,1,8,1,9,1,13,4,7,1,8,2,7,1,8,3,13,1,9,1,8,1,13,1,8,1,13,2,8,3,24,1,9,1,13,1,24,1,13,2,8,2,13,1,24,1,8,1,13,1,24,1,13,1,8,1,13,5,7,1,13,2,24,1,8,2,24,1,13,1,9,1,10,2,12,1,8,1,10,1,12,1,10,2,9,1,8,1,12,1,11,1,8,1,24,1,9,2,8,1,9,1,8,1,10,1,9,1,10,1,9,1,10,1,8,1,10,1,9,1,24,1,9,1,11,1,9,1,10,4,24,1,8,2,9,2,13,1,8,2,13,2,8,1,7,1,13,2,7,1,13,1,6,1,7,1,6,1,30,1,6,4,7,1,13,1,6,2,30,1,6,1,29,1,7,1,29,1,13,3,8,1,9,1,8,3,7,1,13,1,7,2,13,2,7,1,13,1,6,1,13,1,6,5,30,1,7,2,6,1,30,1,28,1,30,1,28,3,30,1,28,4,30,4,28,1,30,1,28,1,6,1,29,1,30,1,6,2,30,2,29,1,30,1,7,1,30,5,28,1,30,3,6,2,7,1,13,1,9,1,11,1,10,2,9,1,11,2,9,2,8,2,9,3,12,3,17,14,11,1,12,2,9,3,8,2,10,1,8,1,24,1,8,1,13,2,8,1,13,2,8,1,7,1,13,2,7,1,13,1,7,1,13,1,7,1,6,3,7,1,6,1,30,3,29,1,28,1,6,2,30,1,28,1,30,1,29,1,30,3,6,1,29,2,30,4,29,3,6,1,28,1,7,1,6,1,30,2,28,1,6,2,7,2,30,1,29,1,6,1,30,1,6,2,28,1,6,1,28,1,6,1,29,1,30,1,29,1,30,2,6,1,29,1,6,1,30,1,6,2,30,2,6,1,30,5,28,20,30,1,28,2,30,1,28,2,30,3,6,1,28,1,30,1,6,1,30,3,6,2,30,6,29,1,30,3,6,1,30,1,28,1,6,1,30,2,28,2,30,1,28,3,6,1,30,2,28,2,30,2,29,1,30,1,29,1,30,1,6,3,7,2,6,1,13,1,6,1,13,1,7,1,8,1,13,1,9,1,8,1,10,1,9,2,8,2,9,1,8,1,9,1,8,1,9,1,10,1,8,1,24,1,9,3,11,1,17,1,10,1,9,2,17,2,11,1,17,10,12,1,9,1,17,3,11,1,12,1,11,1,12,1,17,1,10,1,9,1,11,1,12,1,9,1,12,1,11,1,12,1,11,2,9,1,17,1,9,1,10,1,17,1,12,1,17,1,12,1,9,2,11,2,17,1,11,1,17,1,11,1,17,1,10,2,12,1,10,1,17,2,11,1,17,2,11,1,10,1,11,1,17,7,12,1,17,1,9,1,17,1,9,1,12,1,17,1,10,2,12,1,11,1,12,2,9,1,12,1,9,1,10,2,12,1,9,1,17,1,9,3,24,1,13,1,24,1,8,2,13,1,8,2,6,1,7,1,6,1,7,2,13,1,7,1,30,1,7,1,30,1,13,4,7,1,13,2,8,2,13,3,24,1,8,1,13,1,8,1,13,2,8,1,13,1,24,1,8,2,13,1,9,1,10,1,9,2,13,1,8,1,9,1,11,1,28,2,29,1,28,2,30,1,28,1,30,1,28,1,29,1,30,2,28,1,30,2,28,6,30,1,9,1,30,1,29,1,30,1,28,2,30,1,28,2,6,1,30,6,28,1,29,1,30,2,29,1,28,2,30,2,28,2,29,1,28,1,30,3,28,4,30,1,28,2,6,1,28,1,30,1,6,1,30,2,28,1,30,1,28,3,30,1,28,4,30,1,28,2,30,2,28,10,6,1,13,1,30,1,28,3,30,8,28,2,30,3,28,7,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,2,30,1,28,1,30,4,28,1,6,1,28,1,30,1,28,2,30,1,28,1,6,1,30,2,6,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,6,1,7,1,6,1,29,1,6,2,30,1,29,1,6,3,30,1,6,1,28,2,30,1,28,2,30,1,28,2,6,1,28,1,30,1,28,1,29,1,30,1,28,2,30,1,28,3,30,1,6,1,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,4,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,4,28,3,6,2,30,2,28,1,30,1,6,1,30,1,28,4,30,1,28,9,30,1,28,1,30,1,28,3,6,1,9,1,28,3,30,1,28,10,30,4,8,1,30,2,28,1,30,2,6,1,30,1,28,1,30,1,28,3,30,2,29,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,28,1,30,4,28,1,30,2,28,4,30,3,28,6,29,1,6,1,28,1,30,1,28,3,30,1,28,1,6,1,28,2,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,22,30,1,6,1,28,7,30,1,28,5,6,1,13,1,6,1,28,1,30,1,28,11,30,2,28,2,30,1,28,21,30,1,28,4,30,1,28,6,30,1,28,3,13,1,30,1,28,2,30,1,28,4,30,1,28,1,13,1,30,1,28,14,30,1,28,6,30,1,28,7,30,1,28,7,6,1,30,1,28,1,30,3,28,2,30,1,28,3,30,1,28,10,30,1,28,4,30,1,9,1,17,4,9,1,17,44,11,1,17,1,11,1,9,1,13,2,9,3,8,2,9,1,10,2,11,4,17,1,9,1,17,1,10,1,8,1,25,3,27,2,29,1,30,1,27,1,30,1,24,3,8,1,24,1,15,1,30,2,28,12,30,3,28,2,6,1,17,1,16,1,17,2,11,1,16,2,11,1,16,1,11,3,17,2,11,1,17,3,11,1,17,1,11,1,16,1,17,9,11,1,13,1,30,1,28,3,30,2,28,23,30,1,28,5,30,6,28,1,30,1,28,2,30,2,29,1,28,1,29,1,30,1,28,1,6,2,28,1,30,1,29,1,6,1,28,1,6,1,30,1,29,1,6,1,30,1,6,2,29,1,7,2,6,1,13,1,6,1,13,1,7,1,13,2,6,1,13,2,8,2,13,3,9,1,8,1,13,1,11,2,9,2,17,2,10,1,9,2,10,1,9,1,10,2,12,1,11,1,9,2,13,1,9,2,13,1,8,1,29,1,28,3,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,6,1,30,1,13,1,9,1,13,2,6,1,13,2,6,1,7,1,30,1,13,1,7,2,13,2,30,4,28,2,6,2,29,1,30,1,29,1,28,1,30,2,6,1,30,4,6,1,30,2,13,2,30,5,28,1,6,2,28,2,30,2,28,3,30,1,28,5,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,1,6,2,7,1,13,5,8,1,13,1,8,1,10,1,11,1,9,2,10,1,9,1,13,3,9,1,13,1,10,1,13,1,8,1,11,1,9,2,10,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,7,1,13,6,6,1,13,1,7,1,13,1,29,1,6,1,7,1,13,3,6,2,30,1,29,1,13,1,29,2,30,1,6,1,30,2,13,1,6,2,29,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,28,1,29,1,30,1,29,1,30,1,28,1,30,1,6,1,28,13,30,1,28,85,30,3,28,1,30,1,28,4,30,1,13,1,30,1,6,3,13,3,8,1,13,1,6,1,13,1,9,1,13,1,9,6,11,1,9,1,10,2,9,1,13,1,9,5,13,2,9,1,6,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,9,2,8,1,9,1,13,1,9,1,8,1,9,2,11,1,8,1,9,3,8,1,9,5,13,1,9,2,13,1,9,1,8,1,10,1,8,1,11,1,9,2,11,1,8,1,10,1,11,1,17,17,16,1,17,1,16,3,17,1,11,2,16,3,11,1,10,1,11,1,12,1,17,1,16,2,11,1,16,1,10,1,11,1,16,1,9,1,11,1,10,1,9,1,10,1,11,1,8,1,17,1,12,2,16,1,11,1,12,1,11,1,9,2,11,1,8,1,11,1,8,3,13,2,9,1,13,1,9,4,13,1,9,1,13,1,11,1,9,1,13,1,8,3,9,1,13,1,9,1,13,1,8,1,13,1,8,2,9,2,13,1,8,1,9,1,8,4,13,2,9,1,8,1,13,2,8,1,9,2,7,1,9,1,8,4,13,1,8,1,13,5,9,1,13,1,9,2,13,1,6,1,28,6,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,27,14,1,17,1,9,2,11,1,6,2,30,2,28,10,30,1,28,2,29,1,6,1,13,1,9,4,11,1,16,1,17,1,13,1,28,6,8,2,30,1,28,42,29,1,30,2,29,1,28,1,7,1,17,3,8,1,6,1,28,1,6,1,28,2,13,2,9,2,16,1,17,1,11,1,30,1,28,5,6,1,29,1,28,12,}, {13,1,6,1,29,1,30,1,28,1,29,1,28,1,6,1,17,1,10,1,29,1,28,52,6,1,8,1,12,1,9,1,6,1,30,1,28,3,13,1,24,1,10,1,24,1,13,1,8,3,11,1,10,1,17,1,9,1,11,1,17,3,11,1,13,1,6,2,29,1,28,1,7,1,30,1,13,1,8,1,12,1,8,1,7,2,6,2,8,1,17,4,11,1,9,1,13,1,9,3,10,1,17,1,11,1,17,3,11,1,6,2,13,1,29,1,6,1,13,1,8,1,30,1,28,37,13,1,6,1,24,1,10,1,9,1,6,1,30,1,28,1,6,2,7,1,13,1,17,7,16,1,10,1,9,1,10,1,8,1,13,2,24,1,13,1,7,1,13,1,9,1,13,2,7,1,13,1,24,1,13,2,8,2,9,1,8,1,9,1,11,1,8,1,28,18,30,1,28,2,30,3,28,2,30,4,28,1,30,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,6,1,9,4,11,1,9,3,8,1,11,1,9,1,8,1,13,1,8,1,9,1,13,2,8,3,9,2,8,3,13,1,8,2,9,3,10,1,8,1,9,3,13,4,9,1,8,1,13,3,9,2,11,1,10,1,9,1,17,1,16,1,11,1,17,6,12,1,10,1,11,2,9,1,12,1,9,1,11,1,9,2,11,1,9,3,11,1,9,1,12,1,9,1,24,1,11,1,10,1,24,1,11,1,9,5,10,1,8,1,9,2,8,1,12,1,9,2,12,1,17,2,10,1,11,1,12,1,8,1,24,2,9,3,8,1,24,1,8,2,10,1,9,1,8,2,9,2,8,2,13,2,8,1,13,1,8,2,13,3,8,1,13,1,8,1,6,1,8,1,13,3,8,1,13,1,7,1,13,1,9,1,8,3,24,1,13,3,9,1,8,1,13,2,24,1,7,1,24,1,8,1,13,1,8,1,13,1,8,1,13,2,7,1,13,2,7,1,13,1,8,1,13,1,8,2,13,1,24,2,9,1,8,1,9,1,8,1,10,1,9,1,10,2,24,1,9,3,24,1,10,1,8,1,10,1,8,1,9,1,10,1,9,2,8,1,13,1,9,1,8,1,9,1,12,1,13,1,11,1,24,1,9,1,10,1,9,2,8,1,9,2,8,2,13,1,6,1,13,1,7,2,8,1,6,1,13,1,6,6,7,1,29,1,30,1,6,1,29,1,6,1,7,1,6,1,7,1,29,1,7,1,30,1,6,1,13,1,9,1,13,4,7,1,6,1,13,1,6,3,7,1,6,3,13,1,6,2,30,2,6,2,7,1,30,2,28,1,30,1,28,13,30,1,28,1,30,1,6,3,29,1,6,4,28,1,30,1,6,2,28,1,30,4,29,1,6,1,29,1,6,1,13,1,9,1,11,1,8,2,10,1,9,1,11,1,10,1,9,1,10,1,9,1,24,1,9,2,11,1,17,1,12,1,17,11,12,1,10,2,11,1,12,1,24,1,10,1,8,1,24,1,9,1,13,1,8,2,13,1,8,1,13,2,8,1,7,1,13,1,24,1,7,2,13,3,6,1,13,1,6,1,13,1,6,4,28,1,6,3,29,1,6,1,30,2,29,1,28,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,28,1,29,1,6,1,30,1,6,1,30,1,7,2,6,3,30,3,28,1,7,1,29,2,13,1,30,1,6,3,29,1,6,1,7,1,6,1,30,1,29,1,30,1,29,1,7,1,30,2,6,2,28,1,6,3,29,1,6,1,28,3,30,1,28,2,30,1,28,6,30,1,28,5,30,1,28,9,30,1,28,5,29,1,30,3,6,6,30,4,29,1,30,1,29,1,30,1,29,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,6,1,29,1,6,1,30,1,6,1,29,1,30,1,7,1,30,1,6,2,30,1,13,1,6,1,13,1,7,3,8,2,9,3,8,1,9,1,10,1,9,6,10,1,11,1,9,1,8,1,9,3,8,1,9,1,11,1,10,1,9,1,10,1,17,14,11,1,10,1,12,1,17,1,11,1,17,1,11,1,9,1,10,2,11,1,17,1,12,2,11,1,12,2,10,1,11,3,10,2,11,2,17,1,9,1,12,1,17,1,12,1,17,1,10,2,12,2,8,1,11,1,17,1,12,1,9,1,12,1,17,1,12,1,17,1,11,1,17,1,12,1,17,6,11,1,17,1,9,1,10,2,11,1,12,1,17,1,13,1,12,1,9,2,10,1,9,1,10,2,11,1,8,1,10,1,8,2,11,2,9,3,8,1,13,1,8,2,13,2,7,1,6,1,7,2,13,3,29,1,8,1,13,1,7,1,13,1,8,1,13,2,10,1,13,1,24,1,13,1,24,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,13,2,8,1,9,1,10,1,9,1,13,1,24,1,9,1,24,1,9,1,8,1,9,1,30,8,28,6,30,1,28,3,30,1,28,2,6,1,11,1,6,1,28,1,30,3,28,1,30,9,6,1,30,8,28,3,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,6,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,4,30,3,6,1,29,1,6,1,30,1,28,5,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,13,30,1,28,2,30,3,28,2,30,1,28,3,30,1,28,2,30,1,28,1,29,1,30,1,28,2,30,1,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,10,29,1,7,1,30,1,6,1,30,1,6,2,29,2,6,1,30,1,6,1,7,1,28,1,30,1,28,1,30,1,28,2,29,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,3,28,3,6,1,28,4,30,1,28,4,30,2,28,3,30,1,28,1,30,1,28,12,30,5,28,1,30,3,6,1,30,5,28,2,30,1,28,2,30,1,28,4,30,2,28,12,13,2,30,1,28,4,30,1,28,5,30,1,28,3,30,1,28,1,6,3,30,1,6,1,30,2,6,1,28,2,30,2,28,2,30,1,28,6,30,1,28,1,30,2,6,1,28,1,30,6,28,1,29,1,30,2,28,7,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,11,30,1,28,9,30,1,28,28,30,2,28,2,30,2,13,2,30,1,28,8,30,1,28,8,30,2,28,5,30,1,28,1,30,1,28,14,30,2,28,2,30,1,28,10,6,1,28,6,30,1,28,1,6,1,30,1,28,1,30,1,28,8,30,1,28,5,6,1,28,12,30,1,28,10,30,1,13,1,30,2,6,1,28,2,30,1,28,2,30,1,28,2,30,2,28,6,30,1,28,5,30,1,13,1,17,4,8,1,17,18,12,1,17,18,11,1,17,1,11,1,17,4,10,1,11,1,17,1,10,1,9,7,11,2,9,1,11,1,16,1,11,4,17,1,10,1,8,2,27,2,26,1,27,2,29,2,8,1,15,1,26,1,24,1,25,1,8,1,24,1,28,14,30,2,28,3,13,1,16,1,17,4,11,5,17,1,11,1,17,1,11,1,16,1,17,1,11,1,16,1,11,3,17,11,11,1,8,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,13,30,1,28,4,30,1,28,4,30,1,28,2,30,3,29,1,30,1,28,1,6,1,30,2,28,1,6,1,28,1,30,1,28,1,30,4,28,1,30,2,6,3,30,1,28,1,29,1,28,1,6,1,29,1,30,1,6,1,28,1,6,2,13,1,6,2,13,1,6,1,13,6,8,1,13,2,9,3,10,1,11,1,9,2,8,1,9,3,8,2,9,1,13,1,8,1,9,1,17,3,16,1,13,1,9,1,8,2,13,2,30,3,6,1,30,1,6,1,29,1,6,1,13,1,30,4,28,3,30,1,13,6,6,1,13,1,30,1,7,1,30,1,13,3,7,1,30,1,6,2,29,1,30,1,6,5,30,3,6,1,30,2,6,1,29,1,30,4,6,1,9,1,7,1,30,1,6,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,3,30,3,28,2,30,1,28,3,30,1,28,9,30,1,28,1,30,1,28,2,30,1,13,1,6,1,7,1,13,1,6,1,13,3,8,1,9,1,12,1,11,2,9,1,10,1,9,1,8,2,9,2,8,1,13,1,9,2,10,1,8,1,13,1,9,1,8,3,9,1,13,1,8,2,7,1,13,2,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,6,1,13,2,7,1,13,1,6,2,30,4,6,1,30,2,6,2,28,2,6,2,29,1,6,1,29,1,6,1,28,1,6,1,30,1,29,1,30,1,28,2,6,1,28,2,29,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,10,30,1,28,65,30,1,28,14,29,1,28,1,30,3,29,1,28,1,6,1,30,1,6,1,7,1,28,1,7,1,13,5,8,1,7,1,13,1,8,2,13,1,9,2,8,1,11,1,9,4,8,1,9,5,8,1,9,1,8,2,9,1,8,1,9,3,13,1,8,1,13,1,8,1,10,1,8,1,9,4,8,2,13,1,9,2,8,1,9,1,13,2,11,1,9,2,8,3,9,1,8,1,9,5,8,3,9,3,10,1,17,18,16,1,17,4,16,2,17,1,11,1,17,1,11,1,16,1,17,1,16,1,17,1,11,1,17,1,16,1,11,1,16,3,9,4,8,1,9,1,8,1,9,1,10,1,9,1,10,2,9,1,17,1,11,1,17,1,10,3,17,1,9,1,13,1,8,1,11,1,9,2,8,2,10,1,8,2,10,1,8,1,13,1,9,1,13,1,9,2,11,1,8,1,11,1,13,1,9,1,13,2,8,2,11,1,8,1,13,2,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,1,8,2,9,1,13,1,8,1,6,1,8,1,13,1,9,2,8,1,9,1,8,2,13,1,9,1,13,1,8,1,6,1,13,1,8,1,13,3,7,1,6,1,28,10,30,1,28,4,30,1,28,9,30,1,28,16,6,1,14,1,17,1,9,2,8,2,29,1,30,1,28,3,30,1,28,10,29,1,7,1,13,1,14,1,8,1,13,1,9,1,11,1,16,2,13,1,28,6,13,1,8,1,6,1,28,42,29,1,6,1,30,1,28,2,6,1,17,3,13,1,6,1,30,1,28,2,29,1,30,2,9,1,11,2,17,1,8,1,28,6,6,2,28,12,}, {13,2,30,1,29,1,6,1,29,1,28,1,7,1,9,1,8,1,6,1,28,52,13,1,12,1,17,1,9,1,6,1,30,2,28,1,30,1,8,1,12,1,24,1,9,1,13,1,7,1,10,1,8,1,10,1,16,1,12,1,11,1,16,1,12,1,16,2,8,1,13,1,8,1,29,1,28,1,30,2,28,1,13,1,10,1,11,1,13,1,6,1,7,1,13,1,30,1,13,1,11,1,17,3,16,1,12,1,13,1,9,4,17,5,13,2,6,1,28,1,6,1,29,1,7,1,13,1,6,1,28,36,29,2,6,1,8,1,10,1,9,1,6,3,30,2,6,1,13,1,17,6,16,1,11,1,9,4,8,1,13,1,7,1,24,1,8,2,13,2,8,1,7,2,8,2,13,1,8,2,9,1,11,1,16,1,17,1,11,1,28,18,30,9,28,1,30,4,28,1,29,1,28,2,30,2,28,2,30,5,28,2,6,1,9,3,8,1,13,1,9,1,13,1,9,3,11,1,9,1,13,2,8,1,9,1,13,1,9,1,13,2,9,3,13,1,8,1,9,2,7,1,8,1,9,1,8,1,9,2,8,1,13,2,10,1,9,1,6,1,8,1,13,3,8,1,9,1,13,1,8,1,13,2,11,1,9,1,12,1,17,2,11,1,17,7,9,3,10,1,9,3,12,1,9,1,10,1,9,1,8,1,10,1,9,1,11,1,8,1,10,2,9,2,24,1,9,1,11,1,9,1,13,1,10,1,13,1,9,2,10,1,12,1,17,2,10,1,12,1,9,1,10,2,24,1,9,1,11,1,9,1,17,1,9,1,12,1,24,1,8,1,13,1,9,1,12,1,13,1,9,1,24,1,8,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,13,1,8,2,7,1,8,1,13,2,24,1,13,2,8,3,13,2,8,3,13,1,8,2,24,1,13,2,8,2,7,1,13,1,9,1,8,1,24,1,13,1,8,1,13,11,8,1,13,3,8,2,13,3,24,1,8,2,9,1,13,1,8,1,9,1,13,1,24,1,9,1,13,1,24,1,9,1,8,1,9,1,13,1,10,1,8,1,11,1,9,1,10,1,9,1,8,2,24,1,9,1,10,1,9,2,24,1,8,1,13,1,9,1,8,1,13,1,8,1,13,3,6,1,13,2,6,1,13,1,30,1,13,1,7,1,6,1,30,1,29,1,7,1,30,2,6,2,7,1,29,1,30,1,13,1,6,1,29,1,6,1,29,1,6,1,13,2,8,1,7,1,13,1,8,1,6,1,13,2,7,2,6,3,7,1,29,1,30,1,29,1,30,1,6,2,30,1,6,2,30,1,28,1,30,4,28,6,30,1,28,2,30,1,28,1,30,2,28,1,30,5,6,1,30,1,29,2,6,1,28,1,30,3,28,1,30,1,28,1,30,1,6,1,30,1,28,1,7,1,12,1,9,1,8,1,9,1,24,1,9,1,8,1,9,1,8,1,9,3,13,1,9,3,17,12,12,1,17,1,12,1,9,1,11,1,12,1,10,1,13,1,9,1,8,2,13,2,9,1,8,1,13,3,24,2,13,3,7,1,13,1,8,1,6,1,13,1,6,2,29,1,6,3,30,1,6,1,30,3,29,1,13,1,6,3,30,7,28,1,30,5,6,1,30,1,13,1,6,1,13,1,30,1,28,2,6,1,28,1,6,2,13,1,28,1,7,1,29,1,6,1,30,1,6,2,30,1,6,2,29,1,30,2,6,1,29,1,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,4,30,2,28,3,30,2,28,1,30,1,6,1,30,2,6,1,7,1,29,1,6,3,30,6,29,1,6,1,28,1,29,1,30,3,29,2,28,1,30,2,28,1,30,1,28,5,29,1,30,2,29,1,6,2,29,1,30,2,13,1,7,1,29,1,13,1,29,1,6,1,13,1,6,2,13,1,6,1,13,2,9,1,13,1,24,1,13,1,8,2,13,1,8,2,9,1,8,3,13,1,9,2,8,1,9,3,13,1,8,4,13,1,17,15,12,1,17,1,11,2,12,1,11,2,9,1,11,2,12,2,8,1,10,1,17,3,12,1,10,1,17,1,12,1,11,1,12,1,17,1,10,1,12,1,11,1,17,1,11,1,17,1,12,1,9,1,17,1,11,1,17,4,11,2,10,2,17,14,11,1,17,1,9,1,12,1,11,3,10,1,11,2,9,2,11,1,10,1,9,1,11,1,9,2,13,1,24,4,9,1,13,1,8,1,7,1,8,1,13,1,7,1,13,2,7,1,6,1,13,5,7,1,13,2,8,1,13,2,8,2,13,3,8,1,13,1,24,3,13,1,24,1,10,1,8,1,13,1,9,2,24,1,8,1,9,4,28,2,30,2,28,1,30,1,28,1,30,3,28,6,30,1,28,1,30,1,28,1,30,1,6,1,17,1,8,1,6,1,30,3,28,1,30,2,28,1,30,1,6,1,30,1,6,1,30,2,28,2,30,5,28,2,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,5,30,2,28,1,30,1,28,7,30,2,28,3,30,1,28,1,30,2,6,1,28,2,30,1,29,1,30,1,28,1,30,1,28,5,30,1,28,2,30,4,28,3,30,1,28,5,30,4,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,4,30,2,28,3,6,4,7,1,6,1,29,1,6,2,30,1,6,1,13,2,28,1,30,2,28,3,30,1,28,1,30,1,28,4,30,2,28,7,6,1,30,1,28,5,30,1,28,1,30,2,28,3,30,1,28,1,6,1,28,7,30,2,28,1,30,1,28,1,30,3,28,2,30,7,28,2,30,3,6,1,30,1,28,4,30,1,28,8,30,1,28,4,30,1,28,2,9,1,13,1,30,4,28,1,30,1,28,2,30,1,28,5,30,4,13,1,9,1,28,1,6,1,30,3,6,1,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,2,6,1,28,1,6,1,30,3,28,2,30,2,28,2,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,7,30,6,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,37,30,1,28,1,30,1,28,4,16,1,9,1,30,1,28,11,30,2,28,6,30,1,28,23,30,1,28,10,30,1,6,2,28,5,30,2,28,2,7,1,28,1,30,1,28,1,30,1,28,12,30,1,28,1,30,1,28,3,30,1,28,10,30,1,28,1,30,1,28,1,30,1,28,7,30,2,28,2,30,1,28,3,30,1,28,3,30,1,28,5,30,1,28,3,30,2,8,1,17,4,9,1,17,17,11,1,17,21,11,2,17,3,11,1,17,2,11,1,8,1,9,1,11,1,8,1,9,3,13,1,9,3,11,2,17,2,11,2,12,1,10,1,25,1,26,2,27,1,25,1,27,2,8,1,15,1,25,1,29,2,24,1,26,1,7,1,29,1,30,1,28,15,30,1,28,1,30,1,16,1,17,1,11,1,16,1,11,1,16,1,10,1,16,1,17,1,11,2,17,1,11,1,16,2,17,2,11,1,17,1,11,2,16,1,17,11,12,1,9,1,6,2,30,1,28,8,30,1,28,12,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,6,1,30,3,28,1,30,2,6,1,30,3,29,1,28,1,30,3,6,1,30,2,13,1,30,3,6,2,30,1,6,2,30,1,6,2,13,1,30,1,13,5,6,1,13,1,8,1,13,1,9,1,8,1,13,1,17,1,10,1,9,1,8,1,11,1,9,1,11,1,8,1,9,1,8,1,11,1,8,3,13,1,9,1,17,4,16,1,11,2,10,1,11,2,6,2,28,1,30,1,28,1,30,1,28,1,6,1,13,1,6,1,28,3,30,2,6,1,13,5,30,1,7,1,6,1,7,1,6,3,13,1,30,1,29,1,6,2,28,1,6,2,30,2,28,1,30,1,29,1,30,1,29,1,30,1,29,1,30,2,6,1,29,1,30,2,6,1,30,2,13,1,6,1,28,1,7,1,28,2,30,1,28,1,30,4,28,3,30,1,28,2,29,1,30,1,28,2,30,1,28,5,30,1,28,12,30,3,13,3,6,2,7,1,9,1,13,3,9,1,11,2,9,2,8,4,9,2,8,1,13,1,9,3,13,1,8,1,9,1,8,1,13,1,8,3,13,1,8,1,6,1,13,2,7,2,6,3,13,1,6,3,13,1,29,1,7,1,30,1,6,1,8,1,6,3,7,1,28,1,6,1,30,4,28,1,6,3,28,2,29,3,30,1,28,1,30,1,28,1,30,3,28,1,30,2,6,1,28,10,29,1,28,81,30,2,28,10,30,3,28,1,30,1,28,1,30,2,7,2,13,3,6,2,8,1,6,1,7,1,8,1,13,2,8,1,9,3,8,1,11,1,9,3,8,1,9,2,8,2,9,2,8,1,9,2,8,1,13,1,9,1,13,1,9,1,13,1,8,1,9,2,13,2,8,1,13,3,9,1,8,1,9,1,8,1,13,1,9,2,8,1,9,2,13,1,11,1,13,1,8,1,9,2,8,1,13,1,9,3,8,2,10,1,9,6,11,1,16,1,17,14,16,1,17,2,11,1,16,1,17,6,11,1,17,1,11,1,16,2,11,1,10,1,11,1,9,2,8,1,9,2,10,2,9,2,8,2,9,2,12,1,16,1,11,1,9,3,12,2,10,3,12,1,11,1,17,1,10,1,9,3,8,1,12,1,10,1,8,1,11,1,9,1,13,1,10,1,8,1,11,1,8,2,9,4,16,1,11,1,8,1,9,2,8,1,9,1,8,1,13,2,8,1,13,1,8,1,9,1,13,2,6,1,13,1,8,2,9,5,11,1,9,2,13,1,9,1,13,1,6,1,13,4,11,1,9,1,8,2,6,1,28,5,30,1,28,17,30,1,28,20,14,1,17,1,11,1,10,1,7,1,8,1,28,1,30,2,28,11,6,2,30,1,7,1,8,2,13,1,8,1,10,1,11,2,16,1,13,1,28,5,29,1,8,2,7,1,28,42,29,1,6,1,28,1,30,1,28,1,9,1,17,2,11,1,8,1,6,1,28,5,30,1,13,1,11,1,17,2,8,1,28,5,8,1,13,1,30,1,28,10,30,1,28,1,}, {13,1,6,1,30,1,6,1,29,1,28,1,6,2,9,1,10,1,9,1,28,51,30,2,10,1,24,1,9,1,13,1,30,1,28,3,6,1,24,1,9,1,13,2,6,1,13,1,9,1,11,1,17,2,9,2,17,1,11,1,17,1,16,1,13,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,12,1,9,1,13,2,6,1,13,1,6,1,8,1,17,5,10,1,9,1,8,2,10,1,9,1,17,1,16,1,17,3,9,1,13,1,30,1,7,1,6,1,13,2,8,1,6,1,28,36,29,1,6,1,13,1,8,1,11,2,13,1,6,1,29,1,7,1,13,1,6,2,17,7,10,1,11,1,13,4,30,2,24,1,13,2,7,2,8,1,13,1,6,1,13,1,6,1,24,1,8,1,9,1,10,1,11,1,16,1,17,1,9,1,30,1,28,17,30,2,29,1,30,4,28,1,30,1,28,1,30,4,6,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,2,6,1,9,1,10,1,9,4,8,1,9,2,10,2,9,1,8,1,9,2,13,1,9,1,13,1,9,1,8,1,13,3,9,4,13,1,9,1,13,2,9,1,8,1,13,1,8,1,9,1,8,1,13,1,9,3,13,3,9,3,6,1,13,1,8,1,13,1,10,2,17,2,11,1,17,7,11,1,9,1,10,1,9,1,11,1,9,1,10,4,9,1,10,4,9,1,11,1,24,2,10,1,24,1,10,1,8,1,9,1,8,1,12,1,9,1,8,1,9,1,17,2,9,1,12,1,10,1,9,1,12,1,24,1,9,2,24,1,10,1,12,1,24,1,9,1,10,1,9,2,24,1,8,1,9,1,8,4,13,2,9,1,8,2,13,2,8,1,13,1,6,1,8,1,13,3,7,1,13,1,6,1,30,1,13,2,8,1,7,2,13,2,8,1,13,3,9,1,7,1,13,1,8,1,13,1,8,3,13,1,8,1,13,4,6,1,13,2,7,1,13,1,8,1,13,1,6,1,13,6,8,1,13,1,8,1,13,1,8,3,13,1,8,1,9,1,13,1,24,1,13,1,7,1,9,2,8,2,13,1,8,1,24,1,9,1,8,1,9,4,8,1,10,1,8,2,24,2,13,1,8,1,13,1,24,1,13,3,7,2,29,1,7,1,8,1,6,4,7,1,6,1,29,1,6,1,30,2,28,1,6,1,29,1,6,4,29,1,6,3,13,1,10,1,9,1,8,1,13,1,7,1,13,2,7,1,6,2,30,1,6,4,7,1,6,3,30,1,6,1,30,1,6,1,30,1,28,6,30,1,28,11,30,2,28,1,29,1,30,1,28,2,30,1,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,1,29,2,6,2,13,1,9,2,13,1,8,1,9,2,8,2,9,1,8,2,9,1,13,1,9,2,12,1,17,10,12,1,17,1,10,1,12,2,10,1,13,1,8,1,12,1,8,1,9,1,8,3,13,1,8,1,13,1,8,1,13,1,8,1,6,1,13,1,7,1,6,1,13,1,7,1,13,1,7,1,13,2,6,4,30,2,6,2,29,3,30,1,6,1,28,2,30,3,29,1,28,1,30,3,29,1,6,1,30,2,6,3,29,1,6,1,30,1,28,2,30,3,6,1,29,1,13,1,30,1,13,1,7,1,30,1,29,1,6,2,30,2,29,1,6,1,7,1,6,1,30,1,6,1,29,1,30,7,29,1,30,1,28,2,30,1,28,1,30,2,28,6,30,3,28,2,30,1,28,2,30,1,28,1,29,1,28,3,30,4,28,1,29,2,6,1,7,1,6,1,30,1,6,1,30,2,29,2,6,2,30,1,6,1,29,1,30,2,6,1,30,1,6,2,30,3,28,2,30,3,28,1,30,6,6,3,7,1,6,1,29,1,30,1,13,1,6,1,13,1,30,1,13,1,7,1,13,2,7,1,8,1,13,1,24,1,13,2,9,1,13,1,24,1,13,2,8,1,9,1,13,1,9,4,13,1,8,1,13,1,8,2,9,1,13,2,8,3,9,2,17,17,9,1,11,1,17,1,10,1,17,1,12,1,17,1,11,1,10,1,17,1,12,1,11,1,12,3,17,2,10,1,12,1,11,1,10,1,17,1,12,1,11,2,9,1,11,1,10,1,11,1,12,1,17,3,12,1,17,17,11,1,17,2,11,2,10,1,12,1,11,1,9,1,12,1,10,1,12,1,9,2,10,1,12,1,8,1,9,1,24,1,10,1,9,1,10,1,13,1,8,4,13,8,7,1,6,1,7,1,8,2,13,1,9,2,24,1,13,1,9,1,12,1,9,1,24,1,8,1,9,1,8,2,24,1,13,1,8,4,9,1,8,1,9,1,24,1,8,2,9,1,24,1,8,1,9,1,8,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,6,13,2,6,2,30,1,6,1,30,1,28,1,6,1,30,1,28,3,30,2,6,1,28,1,6,1,30,5,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,5,28,1,30,2,28,3,30,1,28,3,30,2,28,3,30,2,28,2,30,2,28,1,30,1,6,2,7,1,30,1,28,2,6,1,30,1,28,2,30,2,28,6,30,2,28,1,30,3,28,4,6,1,28,1,30,1,28,4,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,2,28,6,30,2,28,1,30,1,28,4,30,1,28,1,30,1,28,3,6,8,29,1,30,1,6,1,13,2,8,1,28,1,30,3,28,2,6,1,28,1,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,9,30,1,28,2,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,4,28,1,30,1,13,1,28,5,30,1,28,7,30,1,28,6,30,1,28,1,8,1,6,1,30,1,13,1,28,3,30,2,28,3,30,1,28,1,30,1,28,2,30,4,9,1,6,1,28,1,30,4,28,2,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,2,30,2,29,1,30,3,28,1,30,1,28,7,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,15,30,1,28,7,30,1,28,6,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,32,13,2,28,7,30,1,28,18,30,1,28,21,30,1,28,6,9,2,6,1,28,4,30,1,28,4,6,1,30,1,28,1,30,1,28,13,30,1,28,1,30,1,28,1,30,1,28,11,30,1,28,9,30,1,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,17,30,1,28,1,8,1,17,4,10,1,12,1,17,15,12,1,17,1,11,1,17,26,12,1,17,2,11,1,8,1,11,1,9,4,10,1,8,1,9,2,17,1,11,1,9,1,17,1,9,1,17,1,12,1,24,1,25,1,26,2,25,2,27,1,26,1,15,1,8,1,29,2,27,1,25,1,26,1,7,1,30,1,28,14,30,1,28,1,30,1,28,2,17,2,11,1,17,1,11,10,12,1,17,4,12,1,17,2,11,1,17,11,11,1,9,1,30,7,28,1,30,1,28,2,30,1,28,12,30,1,28,4,30,2,28,1,30,2,28,1,30,3,28,1,29,1,30,4,28,1,6,1,30,2,6,1,30,1,28,1,30,1,7,1,6,1,30,1,28,1,30,6,29,1,30,2,6,2,30,1,6,2,13,2,6,1,13,4,8,1,13,1,8,1,13,1,8,1,11,1,8,1,9,7,10,1,9,1,8,1,13,3,8,1,17,4,11,1,9,1,8,1,9,3,6,1,28,7,30,1,29,1,30,3,28,1,30,2,13,3,7,1,6,2,7,1,13,1,28,1,13,3,7,1,28,1,29,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,28,1,6,1,28,2,6,1,30,1,6,2,28,1,30,4,29,1,7,1,6,1,30,8,28,11,30,1,28,9,30,1,28,9,30,2,6,2,30,1,13,1,7,1,6,1,13,2,9,1,8,1,11,2,9,5,12,1,10,1,9,3,8,1,9,1,11,1,9,2,11,1,9,2,8,1,13,1,9,1,13,5,6,1,13,1,6,2,13,2,6,2,13,1,6,2,13,1,30,1,13,1,7,1,13,1,6,1,30,1,6,1,13,1,28,1,6,1,30,1,7,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,5,28,1,30,1,6,1,29,1,30,5,28,5,30,1,28,46,30,1,28,1,30,1,28,18,30,1,28,27,30,1,28,3,30,7,6,2,13,2,6,1,7,1,6,1,13,1,7,1,13,6,9,1,8,1,9,1,13,1,9,2,8,1,9,1,11,1,13,1,8,1,9,1,13,1,9,1,13,3,11,1,9,1,8,1,13,5,9,2,8,1,9,1,8,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,13,1,9,2,8,1,10,1,9,1,13,1,10,1,9,1,8,2,11,1,9,1,8,1,9,1,8,1,9,1,8,1,10,1,9,4,10,2,16,1,17,17,16,1,17,2,16,1,17,1,16,3,17,3,16,1,11,3,10,1,9,2,16,1,9,3,8,1,13,1,8,1,9,1,11,1,10,1,9,1,11,1,9,1,10,1,12,1,11,1,9,1,11,1,9,1,12,1,16,2,9,1,8,1,10,1,9,1,10,2,9,4,11,1,9,1,10,2,9,1,13,1,16,1,10,1,9,1,8,1,11,1,9,2,8,1,9,1,8,1,10,1,8,2,9,2,8,2,9,1,8,1,9,1,8,1,9,3,8,2,10,1,13,1,8,1,9,1,8,3,10,1,11,1,9,2,13,1,9,2,11,1,9,1,13,1,9,1,8,2,13,1,28,26,30,1,28,16,30,1,14,1,17,1,11,1,9,1,13,2,30,1,29,1,28,10,30,1,28,1,30,1,13,1,30,2,8,2,9,1,8,1,11,1,10,1,9,1,17,1,6,1,28,5,13,1,8,1,13,1,30,1,28,42,29,1,6,2,30,1,28,1,9,1,17,3,9,1,30,1,28,2,29,1,28,1,30,1,13,1,8,1,11,1,17,2,9,1,28,5,13,1,6,2,30,1,28,11,}, {13,1,30,1,13,1,29,1,6,1,29,3,13,1,9,1,8,1,28,53,9,1,17,1,10,1,13,1,30,3,28,1,6,1,24,1,9,2,30,1,13,1,7,1,9,1,11,1,16,1,11,1,12,1,17,2,9,1,11,1,9,2,7,1,29,2,28,1,29,1,28,1,6,1,10,1,9,2,6,2,29,2,13,1,17,4,16,1,10,1,9,2,8,1,11,1,16,1,11,1,16,1,17,3,8,2,6,1,30,1,6,1,13,1,7,1,9,1,29,1,28,37,6,1,13,1,24,1,11,1,12,1,8,1,6,2,7,1,6,3,12,1,17,6,16,1,11,1,13,1,8,1,13,1,30,1,29,1,7,1,13,1,6,1,7,1,6,2,7,1,6,2,13,1,8,1,9,1,12,1,9,2,16,1,17,1,16,1,11,1,28,18,6,2,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,5,30,1,28,1,29,1,30,1,28,3,30,1,29,1,28,1,30,2,9,3,8,1,9,5,11,1,9,1,11,1,9,1,8,2,9,5,8,1,10,1,8,1,9,1,13,1,8,1,9,1,8,1,13,2,9,1,6,1,13,2,8,1,9,1,8,1,13,1,8,4,10,1,7,1,8,1,9,1,10,1,11,1,13,1,9,1,8,1,9,1,11,2,17,10,12,1,9,1,10,2,9,2,12,1,9,1,10,2,8,1,12,1,9,7,8,1,9,2,8,1,24,1,8,1,10,1,13,1,12,1,17,1,9,5,17,1,9,1,24,1,11,1,8,1,9,1,10,1,17,1,8,1,10,1,9,2,24,1,13,1,9,1,8,1,13,1,8,1,13,6,8,1,13,1,8,1,13,1,7,1,13,1,7,1,13,1,6,2,13,3,7,1,6,2,8,1,13,8,8,1,7,1,8,1,13,1,8,3,13,3,7,3,6,2,13,1,6,1,13,1,7,2,6,1,7,1,13,1,6,1,13,5,8,1,13,1,8,1,13,1,7,1,13,1,8,1,24,1,13,2,8,1,13,3,8,1,24,1,8,4,24,1,8,1,10,1,9,1,8,1,24,1,8,1,9,1,8,6,13,3,6,2,13,1,6,5,29,1,30,1,29,1,6,1,7,1,6,2,13,1,30,1,6,1,30,2,6,2,29,2,30,3,7,1,8,2,13,1,7,1,13,1,7,1,6,3,29,1,6,2,29,1,6,2,30,1,6,1,30,2,6,3,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,11,30,2,28,1,29,1,28,1,30,1,28,1,30,2,28,2,29,1,28,1,30,3,28,1,30,2,29,1,30,1,8,1,12,1,8,2,10,1,9,1,8,2,13,1,24,1,8,1,13,1,8,2,9,1,13,1,11,1,17,9,12,2,17,2,12,2,10,2,9,1,24,1,9,5,13,2,24,1,8,1,6,1,13,4,6,2,13,2,7,1,6,1,13,1,6,2,30,1,6,2,29,1,30,1,29,1,30,1,29,1,30,1,29,1,28,1,30,2,29,1,28,1,30,1,29,1,30,4,29,1,6,1,30,1,7,1,6,1,29,1,6,1,29,1,6,1,29,1,30,3,6,1,30,1,29,1,6,2,29,1,28,1,30,2,29,1,6,6,29,1,6,3,30,1,6,2,30,1,7,1,30,2,28,5,30,1,28,2,30,1,28,1,7,1,30,1,28,2,30,1,28,1,30,2,28,5,30,1,28,1,30,1,28,1,6,1,28,1,30,4,7,1,6,2,13,1,29,1,30,6,28,2,6,1,30,1,28,1,30,1,6,2,30,1,29,1,30,2,29,1,30,2,28,2,30,1,28,2,30,1,28,1,30,3,29,1,6,1,7,1,6,6,7,2,6,2,13,1,30,1,7,1,13,1,30,1,13,4,24,1,13,3,9,1,8,3,24,1,9,1,8,1,13,5,8,1,13,3,6,1,13,1,6,2,13,1,7,1,12,1,11,1,17,11,10,1,11,2,17,1,12,1,11,3,17,2,11,1,17,1,11,1,17,1,12,2,17,1,9,1,17,1,11,1,12,1,17,1,11,1,17,1,12,1,11,2,17,1,11,1,12,1,17,1,11,2,12,3,17,6,11,1,17,2,11,1,17,10,12,1,11,1,17,2,12,1,9,1,11,1,17,1,10,1,9,5,12,1,17,1,8,1,24,1,17,1,9,1,10,1,8,1,24,1,8,1,9,1,8,2,9,1,13,1,8,1,13,1,24,1,7,1,8,1,13,1,7,1,6,1,13,1,8,4,13,1,8,2,9,1,13,2,8,1,13,1,9,2,8,1,24,1,10,2,12,1,10,2,8,2,13,1,8,2,24,1,9,1,8,1,9,2,28,2,30,3,28,2,30,4,28,3,30,1,28,5,6,2,13,1,6,1,28,2,30,2,28,1,6,1,30,1,28,1,30,4,29,1,28,1,30,1,6,1,30,1,28,1,6,2,30,3,28,4,30,1,28,3,30,1,6,1,30,2,28,1,6,1,30,3,28,1,30,4,28,3,30,2,28,1,30,1,28,1,30,3,28,3,30,3,28,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,5,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,6,1,30,1,28,1,30,2,28,7,30,3,28,8,30,2,28,4,30,1,29,1,30,1,28,1,30,1,28,2,30,1,6,5,30,1,6,1,30,1,6,1,30,2,28,1,6,1,13,1,28,1,30,2,6,1,28,2,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,4,30,1,28,1,30,1,6,2,30,1,28,2,30,1,28,1,30,1,28,7,30,2,28,9,29,1,30,2,29,1,28,1,30,1,28,3,30,2,28,3,30,1,28,1,30,2,6,1,30,1,28,6,30,1,28,11,30,1,28,1,6,1,13,3,6,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,3,28,1,30,1,28,2,30,1,6,1,13,1,28,1,30,2,28,13,30,1,28,6,6,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,4,30,1,28,4,30,1,28,4,30,1,28,1,30,1,6,1,28,1,30,1,28,6,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,14,30,1,28,25,6,2,30,1,28,8,30,2,28,1,30,1,28,1,30,2,28,3,30,3,28,1,30,1,28,1,30,1,28,9,30,1,28,13,30,1,28,6,8,1,16,1,30,1,29,1,30,1,28,3,30,1,28,4,6,1,28,5,30,1,28,33,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,6,30,1,28,6,29,1,28,1,30,2,8,1,17,4,9,1,12,1,17,15,11,1,17,1,12,1,17,25,11,1,17,3,11,1,10,4,13,1,9,1,8,1,9,1,11,1,8,1,9,1,11,2,12,1,17,1,12,1,17,1,10,1,24,1,27,2,8,1,25,2,24,1,8,1,26,1,25,1,27,1,29,1,6,2,8,1,30,1,28,16,30,1,28,2,17,1,16,1,11,1,16,1,11,1,9,1,10,1,12,2,9,1,11,1,9,1,11,1,16,1,17,1,12,2,17,2,11,2,17,1,11,2,17,11,12,1,9,1,6,1,30,1,28,3,30,2,28,3,30,1,28,3,30,1,28,4,30,1,28,6,30,1,28,4,30,12,6,1,30,7,7,1,30,4,28,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,29,1,6,3,13,2,6,1,7,2,8,1,7,1,13,1,11,1,9,1,13,2,9,1,10,1,8,1,11,1,9,4,8,1,9,1,8,3,9,1,17,3,9,2,10,1,8,1,13,1,9,1,13,1,30,1,28,1,30,3,28,3,30,3,6,1,30,1,29,1,7,1,10,1,9,1,13,3,7,1,8,2,6,1,13,2,6,2,29,1,6,2,29,1,6,1,30,2,6,1,30,2,28,1,6,1,30,1,6,1,30,1,29,1,6,2,30,1,29,1,30,1,29,1,30,2,6,1,30,2,6,1,28,1,29,1,30,3,6,1,28,2,30,1,28,5,30,1,28,11,30,2,28,5,30,1,28,2,30,1,6,1,30,1,13,1,30,2,6,1,13,1,30,1,13,2,8,1,9,1,10,1,9,2,11,1,10,2,9,1,8,2,9,7,8,1,11,1,8,1,9,1,8,1,13,2,8,1,13,7,6,2,29,1,13,1,6,2,13,1,29,1,6,2,7,1,30,1,6,2,7,1,29,1,7,1,13,1,28,1,30,1,7,1,6,2,30,1,6,1,28,1,6,1,29,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,3,28,1,30,3,28,51,30,3,28,18,30,2,28,26,30,1,28,3,30,1,28,1,6,1,30,1,28,2,6,1,30,1,6,3,7,1,6,1,13,1,7,1,13,4,8,1,13,2,9,2,13,1,9,4,13,1,9,1,7,1,9,1,8,1,13,1,8,1,9,8,13,1,9,1,11,1,13,1,9,3,8,1,13,2,8,1,13,1,8,1,13,2,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,2,8,1,10,1,8,3,13,1,9,1,13,1,9,5,11,1,9,5,16,3,17,13,16,2,17,2,16,1,17,1,16,1,17,2,16,1,17,1,16,1,9,1,17,1,9,1,16,1,11,2,17,1,11,1,16,1,10,1,9,1,11,2,12,2,9,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,12,1,9,1,12,1,9,1,12,1,8,1,9,1,12,1,10,2,9,1,8,2,11,2,9,1,8,1,9,1,8,1,9,3,8,1,11,2,10,1,11,1,9,1,11,1,9,1,10,1,9,4,13,1,9,1,13,4,9,3,7,1,8,1,9,1,8,2,13,1,9,2,11,1,9,2,11,1,13,1,10,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,28,4,30,1,28,10,30,1,28,28,17,2,11,1,9,1,8,1,13,1,28,1,29,1,6,1,28,10,30,1,28,3,7,1,13,1,9,3,11,1,17,1,11,1,17,1,28,5,30,1,13,1,9,1,8,1,28,43,30,1,28,1,6,1,9,1,28,1,11,1,17,3,8,1,29,1,28,2,30,1,28,2,13,2,16,1,17,2,9,1,28,4,29,1,13,1,7,1,6,1,28,11,29,1,}, {13,1,6,1,28,2,29,1,30,2,6,1,8,1,17,1,7,1,28,40,30,1,6,1,30,1,28,10,13,1,9,1,16,1,13,1,6,1,28,1,30,1,28,1,7,1,24,1,9,1,8,2,6,1,13,1,9,1,17,1,11,1,17,6,24,1,13,1,6,1,29,1,28,1,30,2,28,1,13,1,8,1,17,1,8,1,6,1,13,3,6,1,17,5,16,1,10,1,8,3,9,2,16,1,17,3,11,1,13,1,28,1,13,1,6,1,13,2,12,1,6,1,28,37,6,1,13,1,8,1,9,1,11,1,13,1,6,2,7,1,29,1,13,2,9,1,17,5,16,2,11,1,9,1,13,3,29,1,6,2,7,1,6,1,29,1,7,1,30,1,6,1,8,1,13,2,9,1,8,1,9,2,17,1,16,1,17,2,28,18,7,1,30,3,28,1,30,6,28,1,30,1,29,2,30,1,28,3,30,1,28,1,30,2,28,1,30,4,28,1,6,1,13,1,10,1,9,2,11,1,10,1,9,3,11,1,9,2,8,1,9,1,8,1,9,2,8,1,13,1,8,4,13,1,8,1,9,3,8,2,13,1,8,2,13,1,8,1,13,1,9,4,13,1,9,1,13,1,9,3,8,1,9,3,10,1,11,2,17,1,12,1,17,1,9,1,10,1,17,1,12,1,17,5,12,1,11,2,10,1,24,1,9,1,11,1,9,1,12,1,9,1,10,1,24,1,9,1,12,1,9,1,8,2,10,1,24,1,8,1,24,1,9,1,10,1,9,2,8,1,12,1,11,1,9,1,24,1,10,2,11,1,9,1,13,1,24,1,17,1,8,1,10,1,8,1,13,1,24,2,10,1,8,1,9,2,8,1,13,1,24,1,6,1,8,1,13,2,24,1,7,1,13,1,8,1,24,1,8,1,7,1,8,1,13,1,7,1,13,2,7,1,13,1,7,1,13,4,29,1,6,3,13,2,6,1,13,9,7,1,13,4,7,2,6,3,13,1,6,1,7,1,13,1,6,1,7,1,13,1,6,1,13,1,7,1,6,1,7,1,13,2,6,2,13,2,7,1,13,1,9,1,13,8,24,1,7,1,13,1,8,1,13,1,7,1,13,2,9,1,24,1,8,1,9,1,24,2,13,1,8,1,7,1,13,3,7,1,6,2,7,1,29,1,6,1,30,1,6,2,30,1,6,2,30,1,7,1,28,1,29,1,30,1,29,1,6,1,29,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,13,1,9,1,13,1,7,1,13,1,6,2,7,1,6,5,29,1,6,2,7,1,30,2,29,1,6,1,30,1,29,1,30,1,6,1,30,1,28,3,30,1,28,4,30,1,28,8,30,2,28,1,30,2,28,1,30,2,28,1,30,4,28,1,30,2,28,3,6,1,30,1,6,1,30,1,8,1,12,1,11,1,8,1,9,2,8,2,13,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,11,2,17,6,12,1,17,1,12,1,17,1,10,3,9,1,12,1,8,1,9,1,24,2,8,2,13,2,24,1,8,2,7,1,13,1,7,1,8,1,13,1,7,1,13,1,7,1,6,1,30,1,7,2,6,1,13,1,7,1,29,1,6,2,29,2,6,1,29,1,6,3,29,1,30,2,29,1,30,1,6,1,28,1,30,1,28,1,29,1,30,5,29,1,6,1,30,1,6,3,30,1,29,1,7,1,30,1,6,3,30,2,6,1,30,1,6,1,30,1,29,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,30,1,28,1,29,1,30,2,6,1,28,1,30,3,28,7,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,29,1,28,2,30,3,29,1,6,1,30,1,6,3,13,1,7,1,6,1,30,3,29,2,30,3,6,1,30,2,28,1,30,2,28,1,6,1,30,4,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,13,2,6,2,29,1,6,1,29,1,13,1,6,3,7,1,6,2,13,1,6,1,13,7,8,1,13,1,8,2,9,1,8,2,10,1,13,1,8,2,13,1,8,1,13,1,7,1,13,3,6,1,13,1,7,1,13,1,6,1,13,1,11,1,12,1,11,1,17,10,11,2,10,1,9,1,11,1,10,1,17,1,9,1,17,2,12,1,11,1,17,4,11,1,12,1,9,1,11,1,17,1,10,1,11,1,12,4,17,4,12,2,11,1,10,1,17,1,11,1,17,7,12,1,17,11,12,1,11,1,12,2,17,1,11,1,10,1,9,1,11,1,12,1,10,1,9,1,11,2,24,1,9,1,11,1,8,2,10,1,8,1,9,1,13,2,9,1,8,1,9,1,8,1,13,1,24,1,8,1,24,1,13,1,8,2,13,1,8,1,13,1,10,1,13,1,8,1,9,1,11,1,13,3,8,1,24,1,9,1,8,2,9,1,8,2,10,1,13,2,10,1,13,2,12,1,9,1,8,1,9,1,8,2,13,1,10,1,13,1,28,1,30,4,28,2,30,4,28,3,30,1,28,4,6,3,13,1,28,1,30,1,28,3,30,1,6,1,30,1,28,1,30,2,28,1,30,1,29,1,30,1,28,2,29,1,30,1,6,2,30,1,28,2,30,1,28,3,30,1,28,1,30,1,6,1,13,1,6,2,30,2,28,1,30,1,28,2,30,1,28,1,30,3,28,7,6,1,28,3,30,1,28,2,30,1,6,1,30,1,28,2,30,1,6,3,30,1,28,1,6,1,30,2,28,1,6,1,28,1,30,2,28,3,30,1,28,4,30,1,28,8,30,1,28,1,30,1,6,1,30,1,28,1,30,5,28,1,30,6,28,2,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,2,28,2,30,3,6,2,30,1,6,1,30,2,13,1,29,1,6,2,29,1,6,3,13,1,28,1,30,1,28,1,30,3,28,2,30,2,28,1,30,2,28,10,7,1,30,1,28,1,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,8,30,1,28,1,30,1,28,1,30,1,28,4,6,1,30,2,28,1,30,1,28,7,30,1,28,1,30,1,6,1,30,1,28,5,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,29,1,9,1,13,2,30,1,28,2,30,1,28,1,30,1,6,1,28,2,30,1,6,1,30,1,28,2,30,3,28,2,9,1,6,1,28,2,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,4,30,2,28,4,30,2,28,2,30,1,29,1,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,6,30,2,28,2,30,1,28,1,30,1,28,18,30,1,9,1,28,4,30,1,28,4,30,1,28,1,30,1,28,22,30,1,28,2,30,2,6,1,30,1,28,9,30,1,6,1,30,1,28,10,30,3,28,3,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,9,30,1,28,1,30,3,13,2,6,1,28,3,30,1,28,4,6,1,28,1,13,1,6,1,28,2,30,1,28,1,30,1,28,10,30,1,28,20,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,2,30,3,28,4,30,1,28,7,30,1,28,1,30,1,28,1,9,1,17,4,9,2,17,17,11,1,17,26,11,2,17,1,10,2,8,1,11,1,9,1,8,2,9,1,10,2,9,1,10,1,17,5,11,1,12,1,24,1,6,1,26,1,24,1,26,1,15,1,25,2,27,1,26,1,27,1,29,1,25,1,28,1,24,1,28,20,16,1,17,1,16,1,9,1,12,1,11,1,9,1,11,4,10,2,17,1,11,3,12,1,17,3,11,1,17,14,11,2,7,1,6,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,9,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,6,7,1,28,1,29,1,6,1,29,1,30,3,28,1,30,1,28,1,30,8,28,1,7,1,30,1,6,1,13,1,29,1,7,1,13,3,6,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,4,8,1,9,2,13,1,9,2,8,2,13,2,17,3,11,1,8,2,9,1,13,4,28,5,30,2,28,1,30,3,28,1,13,2,9,1,13,3,7,1,13,1,6,1,30,1,13,1,30,1,13,1,7,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,29,1,30,2,28,1,29,1,30,3,6,2,30,2,6,1,29,1,30,3,7,1,6,1,30,3,28,1,30,4,28,12,6,1,28,8,30,1,28,4,30,1,28,2,30,1,6,2,30,1,13,1,6,1,30,1,13,1,6,1,13,2,8,1,9,2,16,1,9,2,10,1,9,7,11,1,9,2,10,1,9,1,8,1,9,1,8,1,9,1,8,2,9,1,13,1,6,2,7,1,6,2,13,1,7,1,29,1,13,1,6,2,30,1,7,1,6,1,30,1,6,2,30,1,6,3,30,1,6,2,7,1,30,1,6,1,30,5,29,1,6,1,28,1,30,2,28,1,6,1,7,1,30,4,28,3,30,1,28,3,30,1,6,1,30,2,28,14,30,1,28,30,30,4,28,20,30,1,28,23,30,1,28,1,30,3,28,2,30,1,28,1,30,4,28,1,6,2,30,1,29,1,6,1,13,1,29,1,7,1,13,2,8,1,13,1,8,1,13,4,9,1,13,1,8,1,9,1,10,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,9,2,13,1,9,1,8,1,9,1,8,1,13,2,9,1,13,1,8,4,9,2,13,1,8,1,9,2,11,1,8,1,9,2,8,1,9,2,11,1,9,1,8,2,9,1,10,1,8,1,13,1,9,1,13,1,8,1,9,6,8,2,11,1,9,1,16,1,9,3,17,14,16,1,17,1,16,1,17,3,16,1,17,2,16,1,17,3,16,1,11,1,9,3,13,1,9,2,13,1,9,1,10,2,8,2,9,2,8,1,16,1,10,1,9,1,11,2,10,1,9,2,11,1,9,1,13,1,17,1,9,2,10,1,9,2,16,2,9,1,10,1,12,1,10,2,11,1,9,1,10,1,9,5,11,1,9,3,10,1,9,1,10,2,9,1,8,1,13,2,9,1,8,1,13,2,8,2,13,4,9,1,8,2,9,1,10,1,9,5,8,2,13,2,9,1,6,1,8,1,13,1,8,1,13,1,28,16,30,2,28,1,30,1,28,3,30,1,28,21,17,2,9,2,8,1,6,1,29,1,28,1,29,1,28,9,30,1,28,2,6,1,29,1,7,1,13,1,10,1,8,1,9,1,11,1,16,3,30,1,28,1,30,1,28,2,30,1,7,1,8,1,6,2,28,42,29,2,30,1,28,2,16,1,17,2,9,1,7,1,28,4,30,1,28,1,7,1,9,1,16,1,17,2,13,1,28,5,7,2,13,1,28,12,}, {13,1,29,1,28,1,29,1,30,1,28,1,30,2,9,2,8,1,30,1,28,37,29,1,28,13,6,1,13,1,9,1,11,1,29,1,13,1,6,2,28,1,6,1,9,2,13,1,6,1,13,2,9,1,11,1,12,1,11,2,17,3,12,2,8,1,30,2,29,1,6,1,29,1,30,1,8,1,10,1,16,1,8,1,13,1,29,2,6,1,7,1,12,1,17,3,16,1,10,1,8,1,9,2,8,2,9,1,17,4,10,1,13,1,29,1,28,1,13,1,29,1,13,1,9,1,6,1,30,1,28,36,30,1,9,1,13,1,12,1,17,1,13,1,6,1,13,2,6,1,30,2,9,1,17,6,16,1,11,1,8,1,13,1,6,2,29,1,30,1,13,1,6,4,7,1,30,1,28,1,8,2,10,1,9,1,8,1,12,1,11,1,17,2,16,1,28,18,30,2,28,1,30,2,6,1,30,1,28,1,30,1,28,2,30,2,29,1,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,1,6,1,28,2,29,1,13,1,9,2,11,2,13,1,11,1,9,1,11,1,9,4,10,2,9,1,13,1,9,1,8,1,9,1,13,1,9,2,13,1,9,2,8,1,9,1,8,1,9,1,11,1,8,5,6,1,9,1,8,2,10,1,9,1,8,1,9,1,8,2,9,2,8,1,9,2,10,1,17,1,11,1,16,1,17,11,12,1,10,2,11,1,9,1,12,1,9,1,8,1,10,1,9,1,11,1,9,3,11,1,9,4,13,1,11,1,9,1,8,1,9,1,8,1,12,1,11,1,10,1,8,1,12,1,9,1,8,2,9,1,10,1,24,2,9,3,8,2,24,1,13,2,9,2,8,1,13,2,24,1,13,1,8,1,13,3,7,1,13,3,8,1,13,3,6,1,13,1,7,1,13,1,7,1,6,2,13,2,7,1,13,2,6,2,13,2,7,1,6,1,13,1,7,2,8,1,13,1,7,1,13,2,7,1,13,1,6,2,7,3,6,1,13,1,6,1,30,1,6,3,7,1,6,1,7,1,6,4,13,1,6,3,13,1,6,1,7,3,6,1,13,1,8,1,7,1,13,3,8,1,13,1,8,8,7,1,9,1,8,1,13,1,24,1,8,3,6,1,7,1,13,1,7,2,6,2,29,1,30,1,6,1,30,1,28,1,7,1,6,11,30,2,6,1,28,1,30,1,6,1,13,3,7,2,30,1,13,1,29,1,6,4,30,2,6,1,30,1,29,1,30,1,29,1,6,1,30,1,7,1,6,1,30,4,28,2,30,3,28,7,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,1,30,6,28,1,30,4,6,2,28,1,24,1,9,1,10,1,13,4,8,1,13,1,8,1,13,3,7,1,9,1,13,1,10,1,12,1,17,9,11,1,12,1,17,1,12,1,11,1,12,1,10,1,12,1,8,3,9,1,24,1,8,2,13,1,6,1,13,2,6,1,13,3,7,2,6,1,13,1,6,2,13,1,6,2,30,1,6,1,30,1,6,2,30,3,29,1,28,1,30,1,6,1,30,2,29,1,30,2,28,3,30,1,28,1,29,1,7,1,30,1,6,1,30,1,6,1,29,1,7,2,6,1,29,1,30,1,29,3,6,4,13,1,6,7,29,1,6,1,30,4,6,1,29,1,28,1,29,1,30,2,28,1,30,2,28,3,30,2,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,6,1,28,1,30,1,29,1,28,1,30,1,29,2,7,1,8,1,13,2,6,1,7,1,6,2,30,1,29,1,28,1,6,1,28,1,6,1,30,1,29,1,30,7,28,1,30,4,6,1,28,1,30,1,6,1,28,2,30,1,6,1,30,1,28,3,30,2,29,2,30,1,8,1,13,1,6,5,29,1,6,2,30,1,6,1,13,1,6,1,13,2,6,1,13,1,8,1,13,2,8,1,13,1,7,1,8,3,9,1,10,1,6,1,24,1,13,1,7,1,13,2,7,2,13,2,6,1,13,1,6,2,13,1,7,1,6,1,30,1,8,1,17,1,9,1,17,8,11,1,12,1,11,1,12,1,11,3,9,1,11,1,12,1,17,1,8,1,12,2,11,1,17,1,10,1,11,1,17,2,12,2,10,1,11,1,17,1,11,1,17,2,10,1,12,1,17,2,12,1,17,1,11,1,9,1,10,1,9,1,17,2,11,1,12,1,17,1,12,1,17,16,11,1,12,1,10,3,12,1,10,1,12,1,9,1,10,1,9,2,11,2,12,1,24,1,9,5,10,1,8,2,24,1,13,1,9,1,8,2,24,1,13,3,9,1,13,1,24,2,8,1,9,1,13,1,9,2,8,1,24,1,13,1,8,1,9,1,24,1,9,1,10,1,13,1,9,2,24,1,8,1,9,2,8,2,24,1,9,1,8,1,9,1,8,2,17,1,13,1,30,2,28,1,30,1,29,1,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,3,6,3,13,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,6,28,1,30,2,29,1,30,2,29,1,30,1,6,1,30,4,28,1,29,1,30,1,6,1,29,1,28,1,30,1,28,4,30,1,28,1,13,1,28,1,30,2,28,2,6,1,30,1,28,2,30,2,28,2,6,1,28,2,30,1,13,1,7,1,28,2,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,7,29,1,28,1,30,2,28,3,30,2,29,1,6,1,30,2,29,1,28,13,30,3,29,1,30,3,6,2,29,1,30,1,6,1,29,1,30,1,6,3,28,1,30,2,6,1,30,1,28,1,30,3,28,4,6,1,30,3,28,11,30,2,28,2,30,1,28,1,30,1,28,6,30,1,28,10,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,3,30,2,28,1,30,1,28,3,29,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,1,29,1,6,1,30,2,28,1,30,1,6,1,13,1,8,1,9,1,13,1,6,2,30,3,28,2,30,4,28,4,30,2,28,1,30,1,6,1,9,1,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,2,30,3,28,5,30,1,28,1,30,1,28,29,30,1,28,1,30,1,28,1,30,1,28,7,7,1,30,1,28,10,30,1,28,11,30,1,28,12,30,1,28,1,29,1,13,1,30,1,28,9,30,2,28,4,30,1,28,6,30,1,28,8,30,1,28,17,30,2,28,1,30,1,28,1,30,1,28,1,30,2,9,1,6,1,28,1,30,1,28,1,30,2,28,2,6,4,28,1,30,1,28,2,30,2,28,1,30,1,28,11,30,1,28,4,30,1,28,1,30,1,28,12,30,2,28,1,29,1,28,1,6,1,30,1,28,2,30,4,28,4,30,2,28,7,30,2,28,3,30,1,13,1,17,4,12,1,10,1,12,1,17,29,10,1,17,13,12,1,11,1,17,2,10,2,11,1,9,1,13,1,9,2,11,2,9,2,17,1,12,1,17,2,12,1,17,1,12,1,24,1,6,1,27,1,25,2,15,1,24,1,27,1,25,1,27,1,29,2,26,1,30,1,24,1,28,20,16,2,11,5,10,1,11,1,17,1,10,2,11,1,12,2,17,3,12,1,17,1,12,1,17,1,11,1,9,1,16,1,11,1,17,10,11,3,13,1,30,2,28,4,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,2,30,3,28,3,30,2,28,1,6,1,28,1,30,1,6,1,28,2,30,2,6,1,30,4,28,2,13,1,6,1,13,1,28,2,6,1,30,1,29,1,30,1,6,1,30,2,29,1,30,2,6,2,30,3,29,1,13,2,6,1,13,1,6,2,13,2,7,1,13,1,11,1,13,2,9,3,13,1,8,1,9,5,13,1,8,1,9,1,8,2,9,1,10,1,17,2,11,1,9,1,8,1,9,1,8,2,13,2,30,1,28,3,30,1,28,1,30,1,28,4,30,1,29,1,13,4,29,1,6,1,30,2,6,1,30,1,28,1,13,1,6,3,29,1,6,1,30,1,6,2,28,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,2,6,1,30,2,29,1,30,3,29,1,30,1,29,1,30,4,29,1,30,1,28,1,30,1,28,21,30,1,28,3,30,1,6,2,30,1,6,2,30,1,13,2,6,1,13,1,9,3,11,1,10,1,11,3,9,4,8,2,9,1,17,1,11,2,9,3,10,1,8,1,9,1,13,2,8,1,13,3,6,1,13,2,6,7,30,1,6,2,7,1,6,1,30,1,29,1,30,1,29,1,30,1,6,2,29,2,6,1,29,1,30,2,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,28,2,6,1,28,1,6,1,28,2,29,1,28,1,30,1,29,1,28,8,30,1,28,17,30,1,28,14,30,3,28,23,30,2,28,20,30,2,28,1,30,4,28,2,30,2,28,1,30,2,28,1,6,1,28,1,30,2,6,2,8,1,6,3,13,2,6,1,13,8,8,1,13,1,8,1,10,1,8,2,9,1,13,2,8,3,9,2,13,2,8,3,9,5,13,2,9,1,8,1,13,3,8,2,9,2,8,1,9,1,10,1,13,1,9,1,11,1,8,1,9,1,8,1,9,2,8,1,9,1,8,1,11,1,8,1,9,2,8,2,11,1,8,1,9,1,8,1,13,1,9,1,11,2,9,1,11,1,17,17,11,1,16,1,17,2,11,1,17,2,11,1,17,2,11,4,10,2,9,1,10,1,9,1,8,1,10,1,11,1,8,1,9,2,8,1,13,1,9,1,8,1,9,1,13,1,11,1,9,3,8,1,11,1,8,1,9,2,8,1,16,1,13,1,11,1,9,6,8,1,9,5,13,1,10,1,9,2,8,1,11,1,8,1,9,1,8,2,9,2,13,1,9,1,8,1,9,1,8,1,9,1,13,1,16,1,9,1,13,2,9,1,13,1,9,3,11,1,9,1,8,2,13,1,8,1,13,1,9,4,13,1,9,1,8,1,13,1,6,1,28,20,30,1,28,5,30,1,28,16,13,1,17,2,9,2,8,1,30,1,28,1,30,1,28,9,6,1,28,3,30,1,28,1,13,2,11,1,8,1,9,1,10,1,13,1,16,1,17,1,30,1,28,4,30,1,7,1,13,2,28,43,30,1,6,1,30,1,28,1,6,1,17,3,11,1,8,1,28,4,30,2,13,2,11,1,17,2,30,1,28,5,13,1,28,1,30,2,28,11,}, {7,1,29,1,28,2,30,3,28,1,13,1,9,1,8,1,28,51,6,1,28,1,7,1,12,2,8,1,7,1,28,3,7,1,10,1,12,1,8,1,13,2,9,1,13,1,17,1,11,1,17,1,12,1,17,4,10,1,8,1,7,1,6,1,29,1,28,2,30,1,29,1,9,3,13,2,6,2,28,1,17,5,11,2,24,1,8,1,9,1,8,1,11,1,17,5,13,1,6,4,13,1,8,1,6,1,13,1,28,36,6,1,13,1,11,1,17,1,10,1,8,1,13,2,8,1,13,1,6,1,30,1,9,1,17,5,16,2,10,1,13,1,6,2,29,1,6,1,29,1,7,1,6,1,29,1,7,1,28,1,6,1,13,1,6,1,7,1,24,1,9,4,16,1,17,3,28,18,6,1,30,2,6,1,28,2,30,1,28,1,30,1,28,1,30,4,28,1,30,6,28,1,30,3,28,1,30,1,28,2,30,1,9,1,8,1,9,1,10,1,11,1,8,2,9,1,8,1,9,2,10,1,9,4,11,1,9,1,10,1,9,4,8,1,9,3,11,1,10,1,9,1,13,1,8,1,13,1,8,6,13,1,9,2,11,1,10,1,11,1,9,1,10,1,9,1,11,1,9,1,17,1,10,1,16,1,11,1,17,1,9,1,11,1,17,10,10,1,11,2,9,2,11,2,9,2,8,1,9,2,8,1,9,2,10,1,8,1,9,1,13,1,9,1,10,1,9,4,10,1,24,1,8,3,9,2,8,1,10,1,8,1,9,2,8,2,24,2,11,1,24,1,9,1,13,2,8,1,9,1,7,1,24,1,13,2,9,1,6,1,24,1,13,1,7,1,9,1,13,2,6,1,8,1,7,5,29,1,13,2,6,1,7,2,6,1,13,2,8,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,4,6,1,7,1,13,2,6,3,7,3,6,1,7,1,30,1,7,1,13,1,6,1,7,1,6,3,13,1,6,2,13,2,6,2,13,1,29,1,13,1,6,1,13,1,6,1,8,1,13,1,7,1,13,1,6,1,13,2,7,1,8,1,7,1,13,2,7,1,8,1,13,2,7,1,24,1,7,1,8,1,13,3,8,1,7,1,13,1,7,1,6,1,29,1,7,1,30,1,6,2,29,1,30,1,6,5,29,1,6,2,30,1,29,2,7,1,30,1,28,2,13,3,7,3,6,3,7,1,6,1,29,1,6,2,29,1,30,1,6,2,30,1,6,2,29,1,6,1,29,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,19,30,6,28,1,30,6,28,1,8,1,9,1,10,1,13,2,8,1,13,1,8,1,13,3,8,1,13,1,8,2,7,1,9,1,12,1,17,6,12,1,17,2,12,1,11,2,17,1,12,1,24,1,9,2,8,6,9,1,8,1,13,1,6,1,8,1,6,1,13,2,7,1,6,1,13,2,7,1,30,1,6,1,7,1,30,2,6,1,29,3,30,1,6,1,29,1,6,1,29,1,6,1,30,2,6,1,30,5,6,1,30,2,29,2,30,1,6,2,30,1,13,1,6,1,7,1,30,1,6,5,30,1,6,1,29,1,6,1,29,1,30,2,6,1,29,1,30,1,29,2,6,3,29,1,30,2,6,1,28,1,30,1,29,2,30,9,28,1,29,1,28,2,30,3,29,1,28,2,6,1,30,2,28,2,30,1,6,2,13,1,7,1,13,1,6,8,28,1,29,1,6,2,29,1,30,1,29,2,30,3,29,1,28,1,29,1,28,2,6,1,30,2,28,1,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,1,8,1,13,1,6,3,29,1,7,1,6,1,13,1,29,1,6,1,13,1,7,1,28,1,13,2,30,1,13,1,6,1,8,1,13,2,7,1,13,4,8,1,13,9,8,1,7,1,13,1,29,1,13,1,6,1,30,1,6,2,30,1,6,2,13,1,8,1,11,1,17,8,12,1,17,1,10,1,11,3,9,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,1,12,1,9,1,11,1,12,1,11,1,10,1,9,1,17,9,11,1,12,1,11,2,17,1,11,1,17,1,10,1,17,5,12,1,17,1,12,1,17,10,11,1,17,1,12,1,11,1,9,1,12,1,9,1,24,1,11,1,8,1,17,1,8,1,9,1,24,1,9,5,24,1,11,1,13,1,9,1,8,3,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,24,2,10,1,9,1,10,1,9,1,8,1,10,1,13,1,10,1,12,1,8,1,9,1,13,1,24,1,8,1,9,3,24,1,8,1,10,1,9,1,13,1,8,1,9,2,8,1,9,1,8,1,9,2,6,1,28,1,30,3,28,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,29,1,6,1,13,3,6,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,4,28,1,29,1,30,1,28,1,7,1,30,6,28,1,30,1,6,2,30,2,6,1,28,1,30,1,6,1,30,1,28,1,6,1,30,1,28,3,6,1,30,2,29,1,30,1,28,1,30,2,28,2,6,2,30,1,6,2,30,1,28,2,30,1,6,1,30,1,28,1,29,1,6,1,30,6,6,1,28,1,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,6,30,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,6,1,28,1,30,3,28,9,30,1,28,4,30,2,28,1,30,1,28,3,30,2,6,4,29,1,6,2,30,1,6,1,29,1,6,1,28,1,6,1,30,2,29,1,28,2,30,3,6,1,30,1,6,1,30,2,28,4,30,1,28,1,30,1,28,4,30,1,6,1,28,17,30,1,28,2,30,2,28,1,30,1,28,2,30,3,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,2,30,1,6,1,30,1,28,1,30,1,28,5,30,1,13,1,6,1,28,1,13,1,6,1,10,1,7,1,30,1,6,1,13,1,29,1,13,1,6,1,30,1,28,3,30,3,6,1,28,1,30,1,28,1,30,4,28,2,30,2,28,1,30,1,28,1,9,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,3,6,1,30,1,28,3,30,1,28,1,30,4,28,3,30,1,28,3,30,1,28,2,30,1,28,5,30,1,28,10,30,1,28,2,30,1,28,1,30,2,28,5,30,1,28,5,30,2,28,1,30,1,28,7,30,2,28,8,30,1,28,4,30,2,28,4,30,1,28,1,30,1,28,4,30,1,29,1,28,1,6,1,30,1,28,8,30,1,28,4,30,1,28,17,29,1,28,21,30,1,28,5,13,1,28,4,6,1,30,1,28,1,30,2,13,1,9,1,6,1,28,3,30,2,28,4,30,1,28,18,30,1,28,13,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,3,30,1,28,9,30,3,28,2,30,1,6,1,9,1,17,4,10,1,11,1,17,43,11,1,17,2,11,2,9,1,17,1,11,2,8,1,9,1,10,1,9,3,17,2,12,2,17,1,12,1,17,1,24,1,8,1,27,1,26,1,24,1,15,1,8,1,25,1,29,1,25,1,27,1,29,1,27,1,26,1,29,1,30,1,28,19,11,2,10,1,11,1,10,1,11,3,10,1,9,1,11,4,17,2,12,1,11,1,17,1,11,1,16,1,17,16,10,1,11,2,13,1,6,1,28,1,30,3,28,2,30,4,28,1,6,1,30,1,28,1,29,1,28,2,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,30,3,29,1,6,2,30,2,6,2,30,1,6,1,30,3,6,1,13,1,30,1,6,1,28,1,13,1,6,1,13,1,6,2,7,1,6,1,13,1,9,1,11,1,6,1,8,3,13,1,9,1,13,1,9,1,8,1,9,1,8,1,13,1,11,1,8,1,9,2,13,1,16,1,13,1,10,1,17,2,11,1,13,1,11,1,9,1,13,3,6,1,28,1,30,2,28,5,30,1,28,2,13,1,8,1,13,2,6,1,7,1,6,2,30,1,6,1,30,1,6,2,30,1,6,1,13,2,6,1,30,3,6,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,30,1,6,1,30,2,29,1,6,2,30,3,6,1,30,2,6,1,30,1,28,3,30,1,28,3,30,2,28,1,30,1,28,9,30,1,28,4,30,2,28,3,30,3,6,2,30,1,6,1,7,1,6,1,13,1,6,2,9,1,13,1,9,1,11,3,9,1,16,1,11,1,9,1,8,1,13,1,9,1,8,1,9,1,11,2,9,1,11,1,17,1,10,1,9,2,13,1,8,3,13,6,6,1,7,2,13,2,6,1,7,1,6,1,29,1,6,1,29,1,30,1,6,2,30,1,6,1,29,1,6,1,30,1,6,1,29,1,6,2,30,3,28,2,6,1,30,1,6,1,29,1,6,1,30,3,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,14,30,1,28,23,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,19,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,6,30,1,28,2,30,4,28,1,30,1,28,1,30,2,28,3,30,3,6,1,29,1,30,1,7,1,28,1,29,1,30,1,29,3,13,1,29,1,6,1,7,1,13,4,8,1,6,1,8,2,13,1,8,1,9,2,13,2,8,1,13,1,9,2,13,1,9,1,8,1,13,1,8,1,9,7,13,1,8,1,9,3,8,3,9,3,13,1,8,1,13,1,9,2,8,1,11,1,10,1,8,1,6,1,8,1,9,1,13,1,9,2,13,1,9,1,8,1,11,1,9,3,11,1,8,1,9,2,8,1,9,2,8,1,9,1,11,1,10,1,11,1,16,1,17,15,16,1,17,7,16,1,17,1,11,1,16,2,11,1,9,2,17,1,8,1,11,3,9,1,12,1,9,1,11,1,10,1,11,1,16,1,9,3,11,1,9,2,11,1,9,1,12,1,8,2,9,1,10,1,9,1,12,1,16,1,9,2,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,9,1,10,1,9,4,13,1,8,1,13,1,8,4,13,1,9,1,13,1,9,1,8,1,9,1,6,1,13,4,8,2,9,5,10,1,8,1,13,2,8,1,9,1,13,1,8,1,9,1,13,2,8,1,6,1,28,7,30,1,28,10,30,1,28,24,13,1,17,1,16,1,11,1,9,1,6,2,28,1,13,1,28,14,6,2,9,4,10,1,9,1,17,1,16,1,28,4,29,1,7,1,13,1,8,1,30,2,28,43,13,1,28,3,11,1,17,2,9,1,13,1,28,5,30,1,13,1,11,1,16,1,17,2,6,1,28,5,6,2,28,13,}, {13,1,6,1,30,1,28,2,30,1,28,2,13,1,16,1,13,1,30,1,28,51,7,1,13,1,8,1,11,1,8,1,6,1,28,2,30,1,6,1,13,1,8,1,24,1,7,1,6,1,13,2,9,1,17,1,11,1,12,1,11,1,17,3,12,1,9,1,13,2,6,1,30,1,6,1,30,1,6,2,12,1,8,1,13,1,6,1,7,1,6,1,13,2,17,4,9,3,6,1,9,2,8,1,17,4,11,1,8,1,7,2,29,1,7,1,13,2,8,1,30,1,28,33,30,1,28,2,30,1,24,1,13,1,9,1,12,1,17,1,7,2,6,1,13,1,6,1,28,1,8,1,17,4,16,1,17,1,11,1,9,2,6,1,30,1,13,1,7,1,29,1,6,1,30,1,29,1,13,1,6,2,7,1,30,1,13,1,8,1,24,1,8,1,12,1,8,1,16,2,17,1,14,1,30,1,28,17,30,3,28,1,30,2,28,1,30,1,28,1,30,2,28,2,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,2,30,1,8,1,9,1,11,1,9,5,8,1,11,1,9,1,11,1,10,1,9,2,11,1,8,2,9,8,11,1,9,1,13,1,11,1,9,4,8,1,9,2,8,1,13,1,12,1,8,1,10,1,9,2,10,1,11,1,8,1,17,1,16,1,12,1,11,1,12,1,11,1,10,1,17,3,16,1,17,10,10,1,9,1,11,1,8,1,9,1,8,1,11,2,10,1,9,2,17,1,9,1,24,1,9,2,10,1,8,3,24,1,8,1,17,1,11,1,9,2,24,1,9,1,24,1,13,1,9,1,13,1,8,1,9,1,13,1,8,3,13,1,8,5,24,1,13,3,8,2,13,3,6,1,8,1,13,1,6,1,8,2,6,1,8,1,13,1,7,1,13,3,7,2,13,1,7,1,6,1,13,1,6,1,7,1,6,1,7,1,6,2,8,1,6,1,13,1,7,2,13,1,7,1,13,1,8,1,13,2,7,1,6,7,30,1,6,1,13,1,7,1,6,2,30,1,29,1,6,3,7,1,6,2,28,1,6,3,7,2,6,1,7,1,6,2,29,1,13,1,7,1,13,2,6,1,13,1,6,2,8,1,7,1,13,4,8,1,13,2,8,1,13,7,6,1,13,1,6,1,7,1,6,2,29,1,6,4,30,1,6,1,7,1,30,1,6,1,30,2,6,3,28,1,29,2,6,1,7,1,13,1,30,1,6,1,13,2,6,1,13,1,7,1,29,1,30,1,29,2,6,1,28,1,29,1,30,2,6,3,30,1,6,1,7,1,6,3,28,3,30,1,28,5,30,1,28,17,30,2,28,1,30,3,28,1,30,1,28,2,29,1,6,1,7,1,13,1,8,1,13,2,8,1,6,1,13,2,8,3,13,4,24,1,11,1,17,6,12,1,17,1,12,1,17,1,12,1,11,2,10,2,8,1,24,1,10,1,24,1,8,2,9,1,13,1,8,1,13,1,7,1,13,2,6,1,13,1,7,1,13,2,6,1,7,1,13,1,6,1,29,1,7,3,29,1,6,1,29,1,30,2,29,1,30,3,28,1,30,1,6,1,28,2,29,1,28,1,30,2,28,1,30,3,29,1,30,1,6,1,29,1,6,2,28,1,6,1,13,1,29,2,7,1,30,1,29,1,6,1,29,1,13,1,6,3,13,1,7,1,28,1,6,1,29,1,30,1,6,1,28,1,6,1,29,1,6,3,30,1,7,1,30,1,6,1,28,1,6,2,28,1,6,1,28,1,30,1,28,3,30,2,28,2,29,2,30,4,28,1,30,1,29,1,8,1,13,1,6,2,7,1,13,2,8,1,29,1,6,3,30,1,6,3,30,5,6,1,30,2,29,1,6,1,29,2,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,30,5,28,2,6,1,30,2,8,2,7,1,6,5,29,1,13,1,29,2,13,1,29,1,6,1,7,1,6,1,30,1,6,1,13,1,7,1,8,3,13,4,6,2,8,2,13,1,7,1,13,3,30,1,7,1,6,1,7,1,6,1,30,2,6,1,30,1,29,1,6,1,7,1,6,1,9,1,8,1,17,13,11,1,10,1,9,1,11,2,12,1,17,1,12,3,11,1,17,1,10,1,12,2,17,1,12,2,17,2,10,1,17,2,8,1,17,1,11,2,17,2,12,2,11,1,17,1,11,1,17,1,10,1,17,1,11,1,17,15,12,1,17,3,11,1,10,1,11,2,17,1,12,1,10,2,9,2,24,1,9,2,10,1,17,1,8,1,10,1,11,1,10,1,9,1,10,1,9,1,8,1,9,3,8,2,13,1,9,1,8,1,13,1,8,2,24,1,8,1,24,1,11,1,8,1,10,1,11,1,13,1,9,2,10,1,11,1,12,1,13,1,8,1,9,1,8,1,13,1,8,2,9,1,24,1,9,2,13,1,8,2,9,1,13,1,10,1,13,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,6,1,13,1,7,1,6,1,30,3,28,1,30,2,28,1,30,9,28,1,30,3,28,1,6,1,7,1,13,3,6,1,30,1,13,1,6,1,28,1,30,5,28,1,30,1,6,1,30,3,28,5,30,4,28,1,6,1,13,1,30,4,28,1,30,2,28,4,30,3,29,1,6,1,28,2,29,1,30,3,28,2,30,1,28,4,30,1,28,1,30,2,28,4,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,2,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,4,30,1,6,1,29,1,30,1,28,2,30,2,6,2,7,1,6,1,30,2,6,2,29,1,30,1,6,1,29,1,7,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,6,30,2,28,2,30,2,28,5,30,1,28,1,30,1,28,3,6,1,30,1,28,7,30,1,28,2,30,1,28,2,30,1,28,14,30,1,6,1,28,2,30,1,28,7,30,1,6,1,9,1,7,1,13,3,6,1,13,3,6,1,28,2,30,1,28,2,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,4,10,1,9,1,28,1,30,2,28,3,30,1,6,1,28,4,30,2,28,3,30,1,28,2,30,1,28,2,30,5,28,3,30,1,28,22,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,13,30,1,28,8,30,1,28,2,30,1,28,1,30,2,28,15,30,1,28,5,13,2,28,7,30,1,28,1,30,1,28,8,30,2,28,4,30,1,28,5,30,1,28,10,30,1,28,1,30,1,28,3,29,1,28,2,30,2,28,4,30,1,28,1,30,1,28,2,6,1,30,2,28,1,29,1,6,1,30,2,28,1,6,2,29,1,30,2,28,1,30,1,28,1,30,1,28,18,30,1,28,9,30,1,28,2,30,2,28,2,30,1,28,5,30,1,28,2,30,1,6,1,28,6,30,1,28,4,30,1,28,2,30,2,28,3,30,1,9,1,17,4,9,2,17,48,11,3,9,1,11,2,9,1,12,1,9,1,8,1,17,1,11,2,17,1,12,2,17,1,12,1,13,1,27,1,25,1,8,1,24,1,8,1,29,1,27,1,29,1,27,1,30,1,27,2,6,1,30,1,28,18,6,1,11,1,10,1,9,1,11,1,10,1,9,1,10,2,9,2,12,1,9,1,11,4,17,1,11,1,17,1,10,1,11,1,9,1,17,17,16,1,11,1,13,1,30,1,28,2,30,1,28,1,30,1,29,1,30,2,28,1,30,1,28,2,30,1,6,1,30,1,28,2,30,4,28,2,30,4,28,1,29,1,30,1,28,1,30,1,29,1,28,1,6,1,30,1,6,1,30,2,28,1,30,1,28,2,6,3,29,1,6,1,30,2,13,1,30,2,6,1,13,1,28,1,30,2,29,1,6,1,30,1,29,1,6,2,28,1,6,2,13,3,7,1,13,1,9,1,8,2,13,4,9,1,13,1,8,1,10,1,9,3,8,1,9,3,12,1,9,1,8,1,9,1,11,1,17,2,13,1,9,3,8,1,13,2,6,2,29,1,30,4,28,2,30,1,29,1,13,1,8,1,13,1,7,1,6,1,30,1,29,1,6,1,28,1,6,5,29,1,6,1,13,1,29,1,6,1,28,1,29,1,28,1,6,1,30,2,6,1,30,1,6,1,30,2,29,1,30,1,6,1,30,2,6,1,29,1,30,1,28,1,29,1,6,1,29,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,18,30,1,29,1,30,1,6,3,13,1,7,1,6,2,29,1,13,1,9,1,8,1,9,1,10,1,8,1,10,2,12,1,10,1,9,6,11,1,9,1,12,1,17,1,10,1,9,4,8,1,9,1,13,3,8,1,6,2,7,1,6,1,30,1,6,2,13,1,7,1,6,3,7,1,30,1,6,1,30,1,28,1,30,1,29,1,30,3,6,1,30,2,6,1,30,1,28,1,30,1,6,2,30,1,28,1,30,2,28,1,6,1,28,1,30,3,28,1,30,1,28,5,30,1,28,5,30,1,28,42,6,1,28,2,30,1,28,22,30,1,28,8,30,1,28,2,30,1,28,6,29,1,30,2,28,2,30,1,28,1,30,1,28,3,30,3,29,1,28,1,6,1,30,1,28,2,30,3,6,4,7,1,6,1,13,1,7,1,13,1,8,1,13,1,7,1,13,2,8,1,6,1,13,2,8,1,13,1,8,1,11,1,9,1,13,2,9,1,8,1,9,1,8,3,13,1,10,1,13,1,8,1,9,1,8,1,9,4,8,2,10,1,8,1,13,1,9,1,6,1,9,1,13,1,10,1,9,1,13,1,8,1,10,1,13,1,9,3,13,1,8,1,9,3,13,1,11,1,9,1,13,1,9,1,8,1,11,2,13,1,9,2,8,1,10,2,8,1,13,1,9,1,8,1,9,1,11,1,17,23,11,1,17,2,9,1,16,2,9,1,11,1,13,1,8,1,9,3,8,1,11,1,9,3,11,1,10,1,9,1,11,1,8,1,9,1,16,1,9,1,16,1,9,1,8,1,9,2,13,1,9,1,11,1,8,1,9,1,8,2,9,6,8,1,9,1,7,1,9,4,8,1,9,1,8,3,13,1,9,3,8,2,13,1,9,1,8,5,9,1,8,2,13,1,9,1,13,1,9,3,11,1,13,1,9,1,8,1,13,2,9,1,13,1,9,2,13,1,9,1,13,2,6,1,28,8,30,1,28,1,30,2,28,31,8,1,17,1,16,1,13,1,8,2,6,1,28,1,29,1,28,1,30,1,28,11,30,2,6,1,9,1,8,1,9,1,8,1,9,1,13,1,17,1,8,1,28,1,30,1,28,4,6,1,24,1,13,1,28,43,29,1,28,1,30,2,7,1,11,1,17,2,11,1,8,1,28,3,30,1,28,2,13,1,9,1,11,1,17,2,30,1,28,5,6,1,30,2,28,12,}, {13,2,30,1,28,2,30,1,28,2,7,1,9,2,30,1,28,52,6,1,11,1,16,1,9,1,29,1,28,3,6,1,13,1,24,1,13,4,6,1,17,1,11,1,17,1,11,1,12,1,17,3,12,1,8,1,24,1,7,1,6,1,29,1,30,1,6,1,28,1,7,1,10,1,16,1,7,1,13,1,29,1,30,1,6,1,9,1,17,5,9,1,24,1,13,2,9,2,16,1,17,3,11,1,13,2,6,2,13,3,15,1,28,27,30,1,29,1,28,3,30,1,28,2,29,2,28,1,13,1,8,1,12,1,17,1,11,1,6,1,29,1,6,1,7,1,29,1,30,1,9,1,17,4,16,1,17,2,11,1,8,1,6,1,7,2,28,2,29,1,6,2,30,1,7,1,13,2,6,1,13,1,8,1,9,1,24,1,11,1,9,1,16,1,12,1,16,1,14,1,29,1,28,17,6,1,29,1,30,1,6,2,30,1,28,1,30,4,28,3,30,1,28,1,30,3,28,2,6,1,28,2,30,1,28,1,30,1,28,2,30,1,13,2,11,1,9,1,8,1,9,1,13,1,9,1,10,2,9,1,8,1,10,1,9,1,16,1,8,1,9,1,11,1,9,1,13,1,11,1,8,1,9,1,13,1,8,3,10,1,9,3,13,1,9,1,8,3,9,2,8,1,11,1,13,1,9,2,10,1,11,2,9,1,11,1,9,1,11,3,12,1,11,1,16,1,10,1,17,2,11,1,17,12,10,1,9,9,10,1,9,3,13,1,9,1,8,3,12,1,11,2,9,1,8,1,9,2,8,2,9,3,13,1,10,1,8,1,24,1,13,1,8,1,13,1,24,1,13,1,24,1,8,2,9,1,8,3,13,1,24,1,13,2,8,1,13,1,7,1,13,1,6,1,7,1,6,1,13,2,7,1,13,1,7,1,13,1,7,1,13,1,6,2,13,1,7,1,6,1,13,1,7,1,29,1,7,1,13,1,6,1,13,1,7,1,13,1,30,1,13,1,6,1,7,2,6,1,7,2,6,1,7,1,6,3,29,1,7,1,30,1,6,6,7,1,29,1,6,1,7,1,29,1,6,2,29,2,6,3,7,1,6,1,7,1,6,1,7,1,6,1,29,1,7,1,13,1,6,1,7,1,13,5,6,1,13,6,6,1,7,2,13,1,7,1,13,2,8,1,13,1,6,1,13,1,6,3,7,2,6,1,7,2,29,1,6,1,29,1,6,2,7,1,13,1,6,1,28,1,6,1,30,1,6,1,13,1,6,1,13,1,30,1,7,1,6,1,13,2,7,1,6,1,7,1,29,2,6,4,28,1,7,1,6,3,30,1,6,1,30,1,29,1,30,5,28,1,30,2,28,5,30,1,28,15,30,3,28,1,30,1,28,2,6,1,30,2,28,1,30,1,6,1,13,1,9,1,13,1,8,1,13,1,8,1,13,2,7,1,6,1,13,6,11,1,17,9,9,1,10,1,12,1,11,1,17,1,8,1,9,1,24,1,9,1,8,2,9,1,13,2,8,2,13,5,6,1,13,1,6,1,13,1,7,1,6,1,7,1,6,1,7,1,29,1,6,3,29,1,6,1,30,8,28,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,29,1,6,1,30,1,29,1,6,2,7,1,6,1,13,1,6,1,13,1,30,1,6,1,13,1,30,1,7,1,6,1,13,1,7,1,6,2,30,1,6,2,29,1,6,3,29,1,6,1,29,1,6,2,28,1,29,2,30,1,6,1,30,1,6,2,30,1,29,3,30,1,28,3,30,2,6,1,29,2,30,1,28,1,6,2,13,2,6,1,29,1,6,3,30,1,13,1,7,1,6,4,30,1,6,1,29,2,6,3,13,1,6,1,7,1,6,2,7,2,6,1,29,1,6,4,7,1,30,2,28,1,30,1,28,1,30,6,28,1,30,1,28,1,13,1,7,1,13,1,6,1,30,1,6,1,30,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,8,1,13,4,6,1,13,1,7,1,13,1,7,1,13,1,6,1,13,5,29,1,6,1,29,1,6,3,29,1,6,1,30,2,29,2,6,1,29,1,13,1,8,1,9,1,17,13,11,1,12,1,11,1,17,1,10,1,17,1,11,1,12,1,17,1,12,1,17,1,11,1,9,1,11,1,17,2,11,1,17,2,11,1,9,1,11,1,10,1,12,1,17,6,11,1,17,1,10,1,17,3,10,1,12,1,17,2,11,1,17,3,11,1,17,2,9,1,17,2,12,1,17,7,12,2,9,1,11,1,12,1,9,1,11,1,24,1,9,1,11,1,10,2,17,1,12,1,17,1,10,1,9,1,10,1,9,1,13,1,24,1,12,1,9,1,8,1,9,1,10,1,8,1,9,1,13,1,9,2,13,1,24,1,9,1,8,1,9,2,10,1,11,1,9,1,24,2,9,1,10,1,6,1,8,1,9,1,24,2,10,1,8,2,9,1,13,1,9,1,8,2,13,1,8,2,9,3,6,1,30,1,28,2,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,2,6,1,13,1,7,1,13,1,30,1,28,1,30,6,28,1,30,4,28,1,30,1,28,1,30,3,13,1,30,1,6,2,8,1,13,2,28,1,30,2,28,1,29,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,6,2,28,1,6,1,28,2,30,2,28,2,13,1,30,1,7,1,6,1,30,2,28,1,30,2,28,3,30,1,28,7,6,1,28,4,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,9,30,3,28,1,30,1,29,1,28,2,6,1,30,1,28,5,6,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,2,29,1,28,1,30,1,6,1,30,1,28,1,6,2,30,1,6,1,13,1,6,2,30,2,6,1,30,1,29,1,30,1,29,1,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,29,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,3,7,1,28,1,30,1,28,6,30,1,28,8,30,2,28,10,30,2,28,8,6,1,28,5,30,1,28,1,13,1,28,3,30,1,28,5,30,1,28,1,8,1,9,1,30,2,13,1,6,1,13,1,9,1,13,1,30,2,28,10,30,1,28,1,30,1,28,2,30,2,28,5,6,1,11,1,28,1,30,1,28,8,30,1,28,6,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,3,30,1,28,3,30,1,28,9,6,1,28,1,30,5,28,3,30,1,28,13,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,15,30,2,28,1,6,1,28,4,30,1,28,1,30,1,6,1,28,4,30,1,28,1,30,1,28,11,30,1,28,19,29,2,30,1,6,1,28,4,30,2,28,5,30,1,28,8,13,1,30,1,28,1,6,2,28,1,6,2,28,1,30,1,28,2,30,1,28,12,30,1,28,20,30,1,28,1,30,2,28,2,29,1,30,2,28,8,30,1,28,3,30,1,28,5,30,2,8,1,16,1,17,2,11,1,12,2,17,30,16,1,17,16,11,3,17,1,11,2,10,2,11,1,17,1,8,1,11,1,12,1,10,1,17,2,12,1,17,1,12,1,24,1,27,1,24,1,26,1,24,2,26,2,27,4,6,1,29,1,30,1,28,18,6,1,16,1,9,1,10,2,9,2,10,1,11,2,9,3,11,3,17,3,11,2,17,2,11,2,17,15,16,1,11,1,9,2,6,2,30,2,6,1,30,2,6,1,29,1,30,2,28,1,30,1,6,1,30,3,28,2,30,3,28,5,30,3,29,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,3,29,1,28,1,30,1,13,1,6,2,30,1,6,4,30,1,6,1,29,1,30,1,29,1,30,2,6,2,29,1,7,1,30,2,6,2,30,1,6,1,13,2,8,2,13,2,8,2,9,1,13,1,9,1,8,2,13,1,11,1,9,1,13,1,8,1,9,1,12,1,9,2,13,2,9,1,17,3,9,2,13,1,9,1,8,1,13,1,6,4,28,3,29,1,28,1,29,1,30,1,9,1,13,1,6,4,29,1,7,2,6,1,30,1,6,1,30,1,6,4,13,1,30,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,29,1,30,2,29,1,28,1,30,2,6,1,30,1,29,1,6,1,30,1,28,1,30,1,28,23,30,1,28,1,30,1,6,1,30,3,6,1,30,1,6,2,13,2,7,1,8,1,13,1,8,1,11,2,12,1,11,2,17,1,11,1,9,2,8,1,9,3,17,1,10,3,11,1,12,1,9,1,8,2,13,1,8,1,13,1,8,1,13,1,7,1,13,1,6,1,30,1,7,1,6,3,13,2,7,1,6,3,30,1,6,3,30,1,6,3,30,1,6,4,28,1,30,4,6,1,29,1,30,1,29,1,30,1,6,1,30,1,28,2,30,1,28,6,30,1,28,3,30,1,28,10,30,1,28,6,30,1,28,25,6,1,30,1,28,1,30,1,28,1,30,2,28,8,29,1,28,25,6,1,30,2,29,1,30,2,28,2,30,3,28,2,30,1,28,1,30,3,29,1,30,1,6,1,30,1,28,1,29,1,6,1,30,1,29,1,30,1,6,1,30,2,6,2,29,1,6,1,13,10,9,1,13,1,8,4,13,1,8,2,13,1,8,1,13,1,8,1,13,1,11,1,13,1,8,1,9,1,13,1,9,2,13,1,8,1,9,1,8,2,11,1,9,1,8,2,13,1,9,1,8,1,13,1,9,1,13,2,9,5,8,1,9,1,8,1,9,5,11,1,9,1,16,1,9,2,13,1,9,1,8,2,9,5,13,1,9,4,17,13,16,1,17,7,16,1,17,1,16,1,17,1,16,3,9,1,17,1,11,1,16,1,11,1,8,1,9,1,11,1,9,3,13,1,11,1,9,1,8,2,9,1,8,1,9,2,13,1,8,1,9,1,13,1,9,1,8,1,10,1,9,2,8,1,9,1,8,2,9,1,8,1,9,1,13,1,8,1,13,1,8,3,11,1,9,5,8,2,10,1,8,2,9,1,8,1,9,2,13,1,8,1,9,1,10,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,16,2,9,1,16,1,9,1,11,1,9,2,8,1,9,1,13,2,8,1,9,1,13,3,28,21,30,1,28,22,13,1,17,2,13,1,8,1,9,1,6,1,30,2,29,1,30,1,28,8,30,1,28,3,6,2,8,1,9,1,10,1,9,2,16,1,11,1,8,1,28,5,30,2,13,1,9,1,28,42,30,1,6,1,30,2,28,2,16,1,17,2,11,1,13,1,28,3,6,1,28,1,6,1,13,1,9,1,16,1,17,1,16,1,28,6,9,1,28,13,30,1,}, {8,1,28,2,30,1,28,3,30,1,7,1,9,2,28,52,30,2,17,1,12,1,24,1,13,1,28,1,6,1,28,1,30,1,13,1,8,1,13,2,30,1,8,1,13,1,9,1,11,1,17,1,11,1,17,4,16,1,9,1,8,1,6,2,30,4,6,1,12,1,9,2,13,1,6,1,13,1,28,1,9,1,17,2,16,1,17,1,11,1,10,1,24,2,9,1,13,1,9,1,16,2,17,2,16,1,8,1,6,2,7,1,8,1,13,1,7,1,15,1,28,36,6,2,7,1,9,1,17,1,16,1,9,1,6,1,30,1,29,1,6,1,13,1,28,1,13,1,17,4,16,1,17,2,9,1,28,1,30,1,6,1,13,1,6,1,29,2,30,1,28,1,7,1,6,2,7,1,29,1,8,2,9,1,8,1,9,2,17,1,9,1,14,2,28,18,7,1,30,1,7,1,30,3,6,1,30,1,28,4,30,2,29,1,30,2,28,1,30,2,28,2,6,1,28,1,30,4,28,2,9,1,13,1,9,1,8,2,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,16,1,11,1,8,1,10,1,9,1,8,1,9,1,8,2,9,1,8,1,11,1,9,5,13,1,8,1,10,1,9,4,10,1,8,1,9,1,13,1,11,1,8,2,9,1,16,1,17,1,16,1,10,1,9,1,17,1,11,3,16,2,17,1,12,1,17,1,9,1,17,1,11,1,17,8,11,1,9,1,10,1,9,1,11,1,10,1,9,2,10,1,13,1,10,1,9,2,8,2,9,1,8,1,9,1,8,1,9,1,10,2,8,1,9,1,8,1,13,1,24,2,9,1,8,3,6,1,8,2,13,1,8,2,24,2,8,1,13,3,8,1,13,1,8,1,24,1,13,3,8,1,13,3,8,1,13,3,6,1,8,1,13,2,7,1,13,2,7,1,29,1,13,1,7,2,13,2,6,1,7,1,13,1,6,1,7,1,29,1,6,1,7,2,13,1,7,1,13,1,7,2,6,1,7,1,6,8,29,1,6,1,28,1,6,2,30,1,6,2,7,1,6,1,29,2,30,1,7,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,13,2,6,5,7,1,6,1,7,1,30,1,7,1,29,1,7,4,13,3,7,2,13,3,6,1,8,1,7,1,13,4,8,1,6,1,13,1,6,6,29,1,7,2,13,1,29,1,7,1,13,1,29,2,13,1,7,1,29,1,6,2,13,3,6,1,7,3,6,3,30,1,6,1,7,1,6,1,30,1,7,1,6,2,30,1,29,2,30,1,29,2,30,1,28,25,30,1,28,1,30,6,28,1,30,3,28,1,7,1,13,1,9,1,24,1,7,1,8,1,13,2,7,1,13,2,6,1,7,1,13,1,7,1,13,2,9,1,12,1,17,5,11,1,17,1,12,1,17,1,11,2,12,1,10,1,9,1,11,1,8,1,9,2,7,1,8,2,10,1,8,1,13,2,6,1,7,1,8,1,6,1,13,1,6,1,29,2,7,1,30,2,6,1,7,1,6,3,29,1,30,1,6,2,30,1,6,1,28,1,30,2,6,1,30,1,28,1,30,2,29,1,30,2,29,2,6,1,30,1,6,1,29,2,7,1,6,6,7,1,29,2,13,1,7,1,6,2,30,1,6,2,13,1,29,1,6,1,30,1,6,3,29,1,6,3,30,1,6,1,7,1,13,1,6,1,8,1,30,1,28,1,6,3,28,1,30,3,6,1,30,1,28,2,6,1,30,2,6,1,29,1,6,1,8,1,6,2,29,1,7,3,29,1,7,2,8,1,7,1,6,6,13,1,6,2,30,1,29,1,30,3,29,1,30,5,6,1,28,1,29,1,6,2,29,1,30,5,28,1,30,5,28,1,6,4,29,1,6,1,29,1,6,1,30,1,6,1,7,1,6,3,30,1,6,1,13,2,7,1,13,3,7,1,13,3,6,1,7,1,6,2,7,2,6,1,13,3,6,1,30,1,6,1,29,1,30,1,6,1,28,1,29,1,30,4,29,1,7,2,9,2,10,1,17,13,12,1,11,1,10,1,17,1,10,1,12,3,11,1,17,3,12,1,10,1,12,1,17,2,12,1,17,1,11,1,10,1,17,2,9,1,12,2,17,6,12,1,11,1,17,4,11,1,17,2,12,1,17,3,12,3,17,9,11,1,12,2,11,1,12,1,10,1,9,1,10,1,12,1,9,1,10,1,12,2,9,2,11,1,9,1,12,3,10,1,8,1,11,1,9,1,11,1,24,1,11,1,9,1,13,1,9,1,8,1,24,1,9,1,8,1,10,1,9,1,10,1,8,1,9,2,10,1,11,1,9,1,12,1,11,1,8,1,9,1,13,2,24,1,9,1,10,1,8,1,9,1,13,1,8,2,24,1,13,1,8,1,13,1,11,1,13,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,5,30,1,13,1,30,1,13,1,6,1,30,2,6,1,30,1,28,1,6,1,28,1,30,1,28,1,6,2,30,1,6,1,30,3,28,2,8,1,6,1,13,2,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,5,6,1,28,2,30,2,28,2,6,1,28,1,30,1,28,1,30,4,28,2,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,3,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,3,28,1,30,1,28,2,30,4,28,4,30,2,28,1,30,1,6,1,30,1,28,3,30,1,28,1,30,2,28,3,30,2,28,1,30,1,6,1,30,1,28,2,30,1,13,1,7,1,6,2,13,1,29,1,6,1,30,1,6,2,30,2,6,1,28,1,30,2,6,2,28,2,30,1,28,2,30,6,28,7,29,1,6,1,30,1,28,5,30,1,28,9,30,1,28,4,30,1,28,3,30,2,28,4,30,1,28,1,30,1,28,4,30,1,28,6,30,1,28,1,30,1,13,1,28,3,30,1,28,1,30,2,28,3,6,1,9,1,8,1,28,2,29,1,30,1,6,1,13,2,6,1,28,1,30,3,28,4,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,2,30,1,9,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,4,30,3,28,1,30,2,28,1,30,3,28,1,6,1,30,1,28,1,6,1,28,3,30,1,28,5,30,1,28,4,30,2,28,3,30,1,28,2,30,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,14,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,6,30,1,28,2,30,1,28,9,7,1,28,1,30,2,28,2,6,1,30,1,28,11,30,1,28,3,30,1,28,7,30,2,28,14,30,1,28,1,30,3,28,7,30,3,28,8,6,1,28,2,30,1,28,5,30,1,28,10,30,1,28,6,30,1,28,17,30,1,28,2,30,2,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,5,30,2,28,4,30,1,28,1,6,1,11,1,17,3,10,1,11,1,17,29,10,1,17,10,11,1,17,4,10,1,17,1,12,1,17,1,11,1,10,1,11,1,10,1,11,1,10,1,11,1,10,1,9,1,11,3,17,4,11,1,24,2,27,1,25,3,27,2,25,1,27,2,29,1,27,1,25,1,6,1,28,18,6,1,8,1,11,1,10,1,11,1,17,1,9,2,11,2,10,1,11,3,9,1,17,1,11,1,9,1,12,1,17,1,11,6,17,4,11,1,17,2,11,1,17,7,11,1,17,1,9,1,7,1,30,6,6,1,30,3,29,1,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,1,29,1,6,1,30,1,28,2,30,1,28,1,30,1,28,2,30,3,6,1,30,3,28,1,6,1,30,1,28,1,7,1,6,6,30,1,13,1,30,1,29,1,6,1,30,1,28,1,30,3,6,4,7,1,6,1,29,1,6,1,8,1,7,1,30,1,8,1,13,2,6,1,13,3,9,1,8,1,9,1,8,1,10,1,8,1,9,2,11,1,9,1,8,1,9,1,13,1,8,1,9,1,11,1,12,1,17,1,9,4,13,1,8,1,13,1,6,1,30,1,6,1,30,5,6,1,13,3,7,1,6,3,29,1,6,1,29,1,30,1,29,1,6,2,30,1,6,1,13,2,30,1,13,1,28,1,30,2,6,2,30,2,29,1,28,1,30,2,6,1,30,1,6,1,30,3,29,1,28,1,7,1,13,1,6,1,7,1,28,1,30,1,29,1,30,1,6,1,29,1,30,2,28,1,30,1,28,14,30,1,28,6,30,2,6,2,30,1,6,3,13,4,9,1,10,1,12,1,10,1,11,1,12,1,11,1,10,1,13,1,9,1,10,1,9,1,11,1,10,1,12,1,9,2,12,1,10,1,9,1,12,1,8,1,9,1,8,1,13,2,30,1,6,1,13,2,7,2,29,1,6,4,29,1,30,1,6,1,7,1,28,1,13,1,7,1,29,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,2,28,1,7,1,28,1,30,1,6,2,30,1,29,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,2,30,1,28,3,30,1,28,35,30,1,28,3,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,15,30,1,28,15,30,3,29,1,6,1,30,1,28,3,30,3,28,1,30,1,28,1,30,1,29,1,13,1,6,1,28,2,29,1,30,3,6,1,30,1,29,1,7,2,6,1,29,1,30,1,7,2,13,1,6,1,13,1,8,1,13,3,7,1,13,2,8,2,13,1,8,2,9,1,13,1,9,1,8,3,13,2,9,2,10,1,9,3,8,1,13,1,9,2,13,1,8,1,13,2,8,1,13,1,9,2,8,1,9,1,13,1,11,1,9,3,13,1,9,2,13,1,9,3,8,1,13,1,9,2,13,2,10,1,9,6,8,1,9,1,13,1,9,2,13,1,9,2,13,1,17,23,16,2,17,2,11,1,16,2,10,1,16,1,11,1,16,1,9,1,11,1,16,1,9,1,16,1,11,1,17,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,3,13,1,16,1,13,1,8,3,9,2,8,4,9,1,8,1,9,2,13,1,8,1,13,2,9,1,8,1,13,1,8,1,13,1,9,1,13,1,6,1,9,1,13,1,8,1,13,2,8,1,13,1,9,2,8,1,13,2,8,1,9,1,13,3,11,1,9,1,16,1,9,1,8,1,13,1,9,1,13,2,9,2,13,1,9,4,30,1,28,4,30,1,28,38,9,1,17,1,11,1,13,1,11,1,8,2,6,1,7,1,28,8,30,1,28,3,30,1,6,1,7,1,6,1,13,1,9,1,11,1,9,2,11,1,17,1,16,1,28,6,13,1,7,1,8,1,28,43,30,1,13,1,28,2,6,1,16,1,17,1,16,1,10,1,8,1,28,4,30,2,8,1,9,1,11,1,17,2,28,6,29,3,28,4,30,3,28,4,6,1,}, {8,1,6,1,28,7,12,1,13,1,28,53,6,1,24,1,17,1,24,1,7,1,6,1,28,1,29,1,28,1,24,1,11,1,8,2,6,1,9,1,7,1,12,1,9,1,11,1,9,2,16,1,17,2,9,2,8,1,6,1,29,2,6,1,28,1,30,1,8,1,16,1,9,2,13,1,7,2,6,1,11,1,17,3,16,1,10,1,12,1,9,1,8,1,6,2,9,2,17,4,8,1,6,1,29,1,8,1,6,1,7,1,6,1,13,1,7,1,28,35,30,1,28,1,8,2,17,1,12,1,9,1,6,1,29,1,7,1,30,1,13,1,29,1,8,1,17,5,16,1,17,2,8,1,6,1,29,1,6,2,30,1,6,1,29,2,30,1,6,3,29,1,13,2,24,1,12,1,9,1,13,1,9,2,11,1,16,1,6,1,28,17,7,1,13,1,6,3,28,1,30,3,6,1,30,2,28,2,6,1,30,4,28,1,30,1,28,1,30,1,28,2,30,3,28,1,6,1,13,2,9,1,8,2,9,1,16,1,13,1,9,4,8,1,9,2,11,1,9,1,13,1,9,1,8,1,9,5,13,1,9,1,10,1,9,1,8,1,13,1,9,1,8,1,10,1,13,3,9,4,8,1,9,2,8,1,9,2,11,3,10,1,12,2,11,1,16,4,10,1,17,6,16,1,17,6,16,1,11,1,13,1,8,1,12,1,9,2,10,1,9,5,8,1,9,1,13,1,9,1,11,1,10,2,9,1,8,3,9,1,13,1,8,1,9,1,8,5,13,1,24,1,13,3,8,2,24,1,8,1,13,1,9,1,8,1,13,3,24,1,8,2,13,1,6,2,13,2,7,1,13,2,6,1,7,3,6,1,13,4,7,1,13,2,6,2,7,1,6,1,7,2,13,2,6,4,13,2,29,1,7,1,6,1,7,1,29,1,6,1,30,1,29,2,6,3,7,1,6,1,30,1,6,1,29,1,6,2,29,1,30,2,6,1,30,1,6,2,30,1,29,1,6,2,29,1,28,1,6,1,29,1,30,1,7,1,6,3,7,1,6,5,13,1,7,3,13,1,6,1,7,2,6,1,13,1,7,1,13,1,6,1,7,1,8,1,13,2,7,1,8,1,13,1,7,1,6,1,7,1,6,2,13,1,6,2,7,1,6,1,24,1,13,3,6,1,13,2,6,2,29,1,8,1,13,2,7,1,8,1,13,1,7,1,6,2,30,1,7,1,30,1,6,1,29,2,6,1,30,1,29,2,30,2,6,1,29,2,30,3,28,3,30,1,28,20,30,3,28,1,30,3,28,4,30,1,6,2,13,3,6,1,13,2,7,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,2,11,1,17,5,12,1,17,1,12,1,9,1,11,1,12,2,8,1,10,1,8,2,24,1,9,1,24,1,11,1,8,3,13,3,8,1,13,2,7,2,13,3,7,2,6,3,30,1,29,2,6,1,30,1,28,1,29,1,28,1,13,1,30,1,29,1,6,1,28,1,30,5,29,1,30,3,6,1,29,1,7,1,6,3,7,1,6,2,13,1,7,1,6,2,7,1,6,7,29,1,6,2,30,1,6,3,30,1,29,1,6,3,30,1,6,1,30,1,13,2,6,1,13,1,9,2,13,1,8,1,13,1,6,1,7,1,6,2,13,1,7,1,6,1,29,1,28,1,7,2,6,3,7,1,29,1,13,1,6,1,30,1,7,2,13,2,6,1,29,1,7,1,6,1,30,1,6,1,30,1,6,1,29,1,30,5,29,1,28,1,30,2,29,1,30,1,28,1,30,2,28,1,30,1,29,1,28,1,30,1,6,1,30,2,29,1,28,1,30,2,28,2,7,1,13,1,6,1,30,1,6,2,30,1,6,2,29,1,6,2,29,1,6,5,7,1,6,1,13,4,7,2,6,1,13,2,7,1,6,1,7,1,6,2,7,1,9,1,13,1,6,1,29,4,30,2,6,1,30,2,29,2,30,1,29,1,6,1,13,2,9,1,10,1,17,10,11,1,17,2,12,1,17,1,9,1,12,2,9,1,11,1,17,2,12,1,17,1,11,1,10,1,12,1,9,1,11,2,8,1,10,1,12,1,17,2,11,1,17,2,11,1,17,1,10,1,17,1,12,1,10,1,17,3,12,1,17,2,12,1,17,3,12,2,9,1,17,13,12,2,11,2,17,1,10,1,12,1,10,1,12,1,10,1,11,1,9,1,11,1,17,2,12,1,10,1,12,1,11,1,17,1,10,2,9,3,13,1,10,1,8,1,11,1,13,1,9,1,24,1,8,1,11,1,24,3,12,1,8,1,9,1,8,1,10,2,9,1,8,1,24,2,8,1,24,4,13,1,24,1,9,1,13,1,24,1,8,3,13,1,8,1,11,1,30,1,28,3,30,1,28,11,30,2,28,2,6,1,13,1,30,1,6,1,13,1,30,2,28,2,6,1,30,2,29,1,28,1,30,2,28,1,30,1,28,2,30,2,6,1,13,3,30,1,28,1,6,1,28,1,30,1,28,2,30,5,28,1,6,1,30,2,6,1,30,2,28,4,30,1,28,6,6,1,28,2,6,1,30,2,28,1,30,6,28,2,30,1,28,1,6,1,30,10,28,4,30,3,28,1,30,2,28,3,30,2,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,6,1,30,4,6,1,28,1,30,1,28,1,30,2,28,8,30,3,28,1,29,1,6,1,13,2,30,1,6,3,29,2,6,4,30,3,6,1,30,2,28,3,30,1,28,1,30,1,6,4,30,1,6,1,28,2,30,1,28,2,30,2,6,1,30,1,28,13,30,1,28,6,30,2,28,2,30,1,28,2,30,4,28,5,30,1,28,9,30,1,29,1,30,1,6,1,30,1,28,5,30,1,28,1,6,1,13,2,6,1,28,2,30,2,6,1,13,1,29,1,28,5,30,1,28,2,30,1,28,7,30,1,28,2,30,1,28,5,9,1,6,1,30,2,28,6,30,1,28,1,30,1,28,2,30,2,28,2,6,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,6,1,30,3,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,29,1,30,1,28,2,30,1,28,6,30,2,28,1,30,1,28,17,30,1,28,11,30,1,28,13,30,1,28,6,30,1,28,1,6,1,28,3,30,1,6,1,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,7,30,2,28,11,30,1,28,1,30,4,28,2,30,1,28,1,6,1,30,1,28,2,30,1,28,1,6,2,30,1,28,2,30,1,28,2,30,2,13,1,7,1,30,1,28,1,30,1,28,5,30,2,28,8,30,1,28,1,6,1,30,1,28,10,30,1,28,8,30,1,28,1,30,1,28,1,30,1,28,4,30,2,28,18,30,1,28,3,6,1,17,4,11,1,9,1,17,31,11,1,17,14,11,1,17,1,11,1,10,1,11,1,17,1,9,1,10,1,9,1,17,1,12,2,11,1,17,4,12,1,17,1,10,1,9,1,24,1,25,1,26,1,25,1,26,2,27,1,26,2,25,1,28,1,26,1,6,1,7,1,30,1,28,17,7,1,9,1,11,1,9,1,11,1,9,2,11,3,9,1,11,1,10,1,9,1,10,1,11,2,17,1,11,1,17,1,12,1,11,2,9,1,16,1,12,1,17,4,16,1,11,1,17,10,11,2,9,1,7,2,6,1,30,1,29,1,30,4,29,1,30,2,6,1,28,1,6,1,29,1,30,2,28,2,30,2,28,2,30,1,13,1,30,1,29,1,30,1,28,1,30,3,28,1,30,2,6,1,29,1,6,1,30,1,29,1,28,1,30,1,6,3,30,1,29,1,30,2,6,1,30,1,6,1,30,2,28,1,6,1,30,3,6,1,30,1,6,1,30,1,6,2,29,1,6,1,13,2,7,1,6,1,7,1,13,2,9,1,13,3,9,1,13,1,9,1,13,1,9,2,13,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,13,2,17,3,9,2,8,1,9,1,8,1,13,2,7,1,30,5,29,1,30,1,8,1,13,1,6,4,29,1,30,1,6,1,30,3,6,1,30,1,6,2,29,1,6,4,29,1,30,2,28,2,30,1,6,1,30,1,28,1,30,4,6,1,30,1,28,1,6,1,30,1,6,2,30,2,28,1,30,3,6,1,30,3,28,5,30,1,28,9,30,1,28,4,30,2,6,1,28,1,30,3,29,1,6,2,7,1,13,2,8,2,11,2,16,1,12,1,11,1,12,1,11,2,10,2,9,2,11,1,8,1,16,1,11,1,10,1,12,1,9,2,11,1,9,1,13,2,7,1,13,5,6,3,29,1,6,5,30,1,7,1,30,1,6,1,30,4,6,1,28,1,30,1,6,1,30,1,6,3,29,1,30,1,6,1,28,1,30,1,29,1,30,1,6,1,28,1,30,1,6,1,28,4,30,1,28,1,30,1,28,3,30,1,28,21,30,1,28,18,30,1,28,4,30,2,29,1,28,2,30,2,28,1,30,1,28,1,30,1,28,7,30,2,28,10,30,1,28,14,30,2,28,3,30,1,7,1,28,1,6,1,30,1,28,1,30,3,28,2,30,1,7,1,29,1,30,5,29,1,30,1,6,1,30,3,6,2,13,1,29,1,13,4,6,1,13,3,8,1,6,1,8,2,13,1,9,1,8,1,9,1,13,1,8,1,9,1,13,2,8,1,9,1,13,1,9,1,8,1,13,2,9,1,6,1,8,2,9,2,13,1,8,1,9,2,8,3,13,3,8,1,13,1,9,3,8,1,9,1,8,1,9,1,8,1,9,3,8,1,9,5,11,1,9,1,8,1,9,1,8,1,7,1,8,2,9,2,8,1,9,2,8,1,13,1,9,3,17,20,11,1,17,1,16,1,11,1,16,1,17,2,16,3,12,1,16,2,11,1,16,1,9,6,11,1,9,2,16,1,10,1,11,1,16,1,10,1,9,2,10,2,8,1,9,1,8,2,10,1,8,1,9,3,13,1,8,1,13,2,8,1,10,1,9,2,13,1,8,1,9,1,13,1,9,2,13,1,9,1,8,2,9,1,13,1,9,2,13,1,9,1,8,1,9,2,8,1,13,2,8,1,13,1,9,1,13,1,9,2,10,1,8,1,10,1,8,1,13,3,9,1,13,1,9,2,8,1,13,2,30,1,28,20,30,1,28,2,30,1,28,19,9,1,17,1,16,1,8,1,9,2,7,1,6,1,30,1,28,1,6,1,29,1,28,11,29,1,13,1,9,5,11,1,17,1,9,1,28,6,13,3,30,1,28,42,13,1,30,1,28,2,7,1,16,1,17,1,16,1,10,1,6,1,28,1,30,1,28,3,30,1,13,1,11,1,17,3,28,7,30,1,6,1,28,4,6,1,28,4,30,1,28,2,}, {6,1,29,1,30,2,28,4,30,1,9,1,13,1,6,1,28,52,6,1,9,1,17,1,9,1,30,1,6,1,28,2,6,1,13,1,9,1,13,1,8,3,13,1,8,1,12,1,17,1,9,1,17,4,11,1,17,1,13,1,6,1,29,1,28,3,7,1,8,1,11,1,9,1,13,2,6,2,30,1,6,1,17,4,9,1,8,1,9,2,24,1,8,1,9,2,11,1,17,3,7,1,6,1,7,1,6,1,13,1,7,1,24,1,13,1,29,1,28,36,6,1,7,1,13,1,24,1,11,2,29,1,6,1,29,2,7,1,29,1,13,1,17,7,16,1,13,1,8,1,29,1,6,1,29,1,30,2,6,1,28,1,30,1,7,1,13,1,28,1,6,1,8,2,13,1,6,1,9,1,13,1,9,1,17,1,16,2,28,18,6,4,30,4,28,1,30,1,28,1,30,6,28,1,30,2,28,1,30,6,28,1,30,1,28,1,13,2,9,1,8,1,9,6,8,1,9,2,8,1,11,1,9,1,8,1,9,3,8,1,13,1,9,2,13,1,9,1,13,1,9,4,13,1,9,1,8,1,13,1,8,1,13,2,8,4,9,2,8,1,9,1,10,1,9,2,10,1,11,1,9,1,17,2,10,1,11,1,12,1,9,1,11,2,16,1,17,1,16,1,17,11,11,1,9,3,10,1,9,1,8,1,10,1,9,2,13,1,10,1,9,1,8,1,9,2,10,1,8,1,24,1,8,2,24,1,8,1,9,1,8,2,9,1,8,1,9,1,13,1,8,2,13,1,7,1,13,3,8,1,13,2,8,3,24,1,13,1,8,2,13,1,8,1,13,1,8,1,7,2,13,2,6,1,13,1,7,2,6,1,8,1,13,2,7,1,13,3,6,1,13,3,7,2,8,1,7,1,6,1,13,1,6,1,7,2,13,1,6,2,30,1,13,1,6,1,29,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,3,30,1,6,1,29,1,6,1,30,1,6,2,30,1,6,3,30,1,6,1,30,1,29,2,30,1,6,2,29,1,6,2,29,1,6,3,30,1,7,1,13,1,7,1,6,2,13,1,6,1,7,2,29,1,7,2,13,3,6,1,7,1,8,1,13,2,7,1,13,1,8,1,13,1,6,2,13,1,6,2,13,1,6,1,13,2,6,4,7,1,6,1,13,2,8,1,30,1,13,6,7,1,6,5,28,1,7,1,6,1,29,1,30,1,29,1,30,1,6,1,29,1,6,1,30,3,28,1,30,1,28,4,30,1,28,15,30,1,28,3,6,1,30,2,28,1,30,2,28,1,30,2,29,1,28,1,30,1,6,1,7,1,9,1,13,2,7,1,6,1,13,1,6,2,29,1,13,1,7,1,6,1,13,1,7,1,13,1,8,1,9,1,17,5,9,1,17,3,10,1,17,1,10,1,12,1,9,1,13,1,8,1,24,1,8,1,13,1,10,1,7,3,13,1,24,1,13,1,8,1,6,1,13,1,8,1,7,1,6,3,7,1,6,1,7,3,30,2,6,1,30,1,29,1,30,1,6,1,28,1,29,1,28,1,30,2,29,2,30,2,28,1,30,2,29,1,30,1,6,1,30,1,6,2,30,1,6,1,7,1,6,2,13,2,6,2,13,1,6,4,29,2,6,6,29,1,6,2,29,3,6,1,30,1,6,1,29,1,6,1,30,1,7,1,28,1,29,1,30,1,29,1,7,2,6,2,30,1,6,1,13,1,29,1,6,1,13,2,6,4,13,2,6,2,7,2,6,3,7,1,13,1,30,1,6,4,29,1,6,1,28,1,6,1,28,1,30,2,28,3,30,3,28,1,30,1,6,1,28,4,30,2,28,1,30,3,29,1,6,1,30,1,6,2,13,1,29,1,6,1,13,1,30,1,29,1,6,1,29,1,13,1,30,1,6,3,7,1,29,1,6,5,7,1,6,1,29,1,7,2,6,3,30,3,6,2,28,1,7,2,13,1,6,1,29,1,6,1,29,2,30,1,29,1,30,4,28,1,6,1,30,1,29,1,13,1,6,1,8,1,9,1,11,1,17,2,11,1,17,1,11,1,17,1,12,1,17,7,12,1,17,1,9,1,12,1,17,1,11,1,17,1,9,1,17,1,12,1,11,2,12,2,17,1,10,2,12,1,17,2,11,1,17,1,10,1,17,1,12,1,17,1,9,1,12,1,17,1,12,1,17,1,12,1,17,3,11,1,17,4,11,1,12,1,17,3,11,1,17,10,12,1,17,1,10,1,11,1,17,1,11,1,12,1,10,1,12,2,11,1,10,2,11,1,9,1,12,1,17,4,9,1,11,1,8,1,11,1,10,1,9,1,8,2,10,1,8,2,9,2,11,1,9,2,8,1,10,1,9,1,24,1,13,1,9,2,8,1,13,1,8,1,9,1,13,1,8,1,24,1,7,1,13,1,24,1,8,3,13,1,8,4,9,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,2,30,1,7,1,30,1,6,2,28,1,30,3,6,1,30,2,6,2,30,2,28,2,30,1,6,1,30,1,29,1,6,1,13,1,30,1,6,1,30,7,28,1,30,2,28,3,30,1,6,1,30,3,28,7,30,1,28,1,30,3,6,1,30,1,29,1,6,1,29,1,30,1,6,1,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,1,6,1,30,1,28,3,30,1,28,1,30,9,28,1,30,1,28,1,30,1,28,1,30,5,28,2,30,2,6,1,28,2,30,4,28,1,30,2,28,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,29,1,13,1,6,2,30,1,13,1,7,1,6,1,29,1,6,2,30,1,6,3,29,1,6,3,29,1,28,3,30,3,6,1,30,2,6,1,30,2,28,3,30,3,28,1,30,1,6,1,28,11,30,1,28,2,30,1,6,1,30,1,28,7,30,1,28,1,30,3,28,1,30,2,28,2,30,1,28,4,30,2,28,5,30,1,6,1,30,1,28,2,30,1,28,6,30,1,13,2,30,1,28,1,29,1,28,3,30,3,28,8,30,1,28,12,30,2,28,2,16,1,30,1,28,3,30,2,28,9,30,1,28,2,6,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,4,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,2,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,31,30,1,28,14,30,1,28,6,13,1,28,1,30,1,28,2,30,1,13,1,28,9,30,2,28,4,30,1,28,7,30,1,28,1,6,1,28,12,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,4,6,1,28,1,30,1,13,1,6,1,30,2,6,3,28,3,6,1,30,1,28,2,30,1,28,3,30,1,28,8,30,1,28,1,30,1,28,15,30,1,28,8,30,1,28,3,6,2,28,1,30,1,28,14,30,1,28,6,29,1,17,5,9,1,17,31,12,1,17,13,11,1,17,2,11,2,9,1,12,1,9,1,10,1,9,1,17,2,10,2,17,1,11,1,17,3,12,1,11,1,17,1,24,1,25,1,26,2,27,2,30,1,25,1,27,1,25,1,30,1,27,2,29,1,28,18,13,1,9,1,11,1,9,1,17,1,9,2,11,1,10,1,9,4,11,1,9,2,11,1,10,1,11,1,17,2,11,1,9,1,11,2,17,4,16,1,11,2,17,5,16,1,17,4,11,1,16,1,11,1,13,1,6,3,30,1,6,1,30,2,28,1,6,1,28,1,30,1,6,1,28,1,30,3,7,1,30,5,28,2,6,1,28,1,30,3,28,1,6,1,30,1,28,1,30,1,6,2,30,1,28,1,6,1,30,3,6,1,28,1,9,1,29,1,6,1,30,1,6,1,29,1,30,4,28,1,6,1,30,5,28,1,6,1,30,1,29,1,6,1,7,1,30,1,6,2,13,1,6,1,8,1,6,1,13,1,7,1,8,1,9,1,8,1,9,1,13,2,9,2,8,2,11,1,13,2,9,1,8,1,9,1,13,2,11,2,17,1,11,1,9,1,10,1,9,3,13,1,6,2,30,1,6,1,30,2,29,1,6,1,11,1,13,3,6,2,30,1,6,3,13,1,30,1,6,2,7,1,6,1,30,1,6,1,30,1,6,1,7,1,28,1,30,3,6,1,29,2,30,1,28,2,6,1,28,1,6,1,28,1,30,1,28,3,30,1,6,1,13,1,30,1,28,3,6,1,30,2,28,1,30,1,28,18,30,3,29,1,30,1,29,1,30,2,29,1,6,1,7,1,13,2,8,1,9,2,11,1,12,1,11,2,9,1,12,1,9,1,10,1,8,1,10,1,9,2,10,1,11,2,10,1,12,1,11,1,9,1,10,1,9,1,11,1,9,1,13,1,8,1,7,1,13,1,6,1,13,1,6,1,7,1,30,1,13,1,30,1,6,1,29,1,6,1,7,2,6,1,29,1,6,1,30,2,6,2,29,1,6,1,30,5,28,1,30,1,6,1,29,2,6,1,30,2,29,2,6,1,13,1,28,1,6,1,28,2,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,34,30,1,29,1,30,1,28,3,30,1,28,2,30,5,28,1,30,4,28,1,30,2,28,8,30,2,28,16,30,1,28,4,6,1,30,3,28,2,30,1,29,1,13,1,7,1,29,1,30,1,29,1,6,5,29,1,6,1,29,1,6,3,7,1,6,2,13,2,6,1,7,1,13,2,8,1,13,10,8,1,13,1,7,1,9,1,13,1,8,2,13,3,9,1,13,2,9,1,7,1,9,1,13,1,9,3,8,1,13,1,9,2,8,1,11,1,13,1,9,2,8,1,11,1,9,4,11,1,13,1,9,1,13,1,8,1,9,2,13,1,8,1,9,2,13,1,9,2,8,1,9,1,11,1,9,2,8,2,9,1,13,1,8,1,9,4,11,1,16,1,11,2,17,19,16,2,17,1,16,2,17,1,11,1,9,1,10,1,11,1,10,1,9,1,11,1,9,3,11,1,9,1,10,1,9,2,10,1,9,4,13,1,10,1,11,1,17,1,9,2,11,1,9,1,13,1,9,4,10,1,9,2,16,1,9,7,13,1,8,2,9,3,8,1,9,1,11,1,8,1,11,1,13,2,9,1,8,1,13,2,7,1,8,1,13,1,8,1,13,1,8,2,9,1,16,1,9,3,10,1,8,4,13,1,9,4,13,1,28,7,30,1,28,11,30,1,28,24,16,1,17,1,11,1,13,1,9,1,13,1,6,2,30,1,6,1,28,8,30,1,28,3,30,1,6,2,9,1,10,1,13,1,8,1,10,1,9,1,17,1,13,1,28,6,13,1,11,1,30,2,28,42,7,1,30,1,28,2,30,1,17,3,9,1,13,1,28,2,30,1,28,2,30,1,9,1,16,2,17,1,10,1,28,6,29,1,28,1,30,1,28,12,}, {13,1,6,1,28,1,30,3,28,3,12,1,9,1,28,53,30,1,8,1,17,1,12,1,30,1,28,4,8,1,9,1,8,1,24,1,13,1,7,1,13,1,11,2,17,1,10,1,17,5,9,1,13,1,7,1,6,2,13,1,28,1,30,1,9,2,11,1,13,1,7,1,6,1,7,1,29,1,11,1,17,4,11,1,13,1,8,1,13,1,9,1,13,1,9,1,11,1,16,1,17,3,9,1,13,4,6,1,13,1,8,1,28,37,6,1,13,1,8,2,16,1,13,2,30,1,29,1,6,3,13,1,17,6,16,2,11,1,7,1,29,1,30,1,6,1,30,1,7,1,6,2,29,1,30,1,29,1,6,2,13,1,8,3,9,1,13,1,11,2,17,2,6,1,28,17,6,1,13,1,29,3,28,2,30,1,29,1,28,1,6,1,30,1,28,3,30,2,28,3,6,2,28,1,30,1,28,1,30,2,28,3,6,1,8,1,9,1,8,1,9,1,10,1,9,2,8,1,9,2,13,1,9,1,8,1,9,1,10,1,9,1,13,1,9,1,8,4,13,3,9,1,13,3,9,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,13,3,8,1,9,4,8,1,9,2,10,1,11,3,9,2,10,1,9,2,16,3,9,1,16,2,17,13,9,1,8,1,11,1,9,1,10,1,9,3,8,2,9,2,8,1,9,1,8,2,9,1,10,1,9,2,13,1,24,1,9,1,8,1,13,1,8,2,13,1,9,1,8,1,24,1,13,1,8,1,10,1,13,1,8,3,13,1,24,1,13,1,8,2,13,1,7,1,13,2,7,1,13,2,7,1,13,5,7,3,13,1,6,1,7,1,13,1,7,1,6,1,13,1,7,1,29,1,8,2,7,1,8,1,7,1,13,1,7,1,6,2,7,1,6,1,29,1,7,1,29,2,7,1,6,2,29,1,6,1,29,1,30,1,7,1,6,1,30,2,6,1,7,1,6,2,7,1,30,1,6,2,30,2,29,1,13,1,28,1,30,1,6,1,30,4,6,1,30,1,28,1,29,1,30,1,7,1,29,1,6,2,30,2,6,2,7,1,13,1,6,1,7,1,30,1,8,1,6,1,7,1,13,4,7,1,24,1,13,2,8,1,6,1,24,1,13,2,6,1,8,1,7,3,6,1,13,1,6,1,13,3,7,1,13,1,7,1,13,1,9,1,13,1,6,1,13,1,8,2,7,1,8,1,7,2,6,2,29,1,6,3,29,1,13,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,29,3,30,1,28,1,30,4,28,21,6,1,30,2,28,2,30,3,29,1,30,2,7,1,6,1,8,2,9,1,6,1,7,1,8,1,7,1,6,1,7,2,6,2,7,1,13,4,11,2,17,5,12,2,17,1,9,1,11,2,12,1,10,1,9,2,24,2,8,1,13,1,8,1,13,3,8,1,13,1,7,1,13,1,7,1,6,1,7,1,8,1,7,1,13,1,6,1,7,2,6,2,30,2,13,1,28,1,30,3,6,2,30,2,6,1,30,1,28,1,30,2,29,1,30,3,28,1,30,1,6,8,7,1,8,1,7,1,6,1,29,2,6,7,29,1,30,2,29,1,6,3,30,1,6,1,28,1,13,1,6,1,29,1,6,1,30,1,29,1,6,1,29,1,7,2,6,1,29,1,30,1,6,4,29,1,6,5,30,1,13,1,6,2,13,1,6,2,7,1,13,1,7,3,6,2,13,1,29,1,6,1,29,1,30,1,29,1,6,1,28,1,30,2,28,2,30,1,28,7,30,2,29,1,28,5,30,4,6,3,30,1,6,1,30,1,6,1,30,1,7,1,29,2,6,1,30,1,6,2,29,1,6,2,30,1,6,1,29,1,6,1,30,1,6,2,30,1,6,1,29,1,13,1,29,1,6,2,30,1,6,1,29,1,30,1,6,4,13,1,6,4,29,1,30,1,28,1,29,2,30,2,29,1,28,1,30,1,7,1,13,1,7,1,8,1,9,1,12,2,17,3,11,1,17,2,10,1,17,2,11,1,12,1,17,2,12,1,17,1,10,1,11,2,9,1,17,1,11,1,17,1,9,1,12,1,11,3,17,1,9,1,17,2,12,1,11,1,12,1,17,2,11,2,17,1,12,1,11,1,17,1,10,1,17,1,11,2,12,1,17,2,12,2,17,1,12,1,17,16,10,1,17,3,9,1,17,1,12,1,17,1,11,1,17,2,11,1,17,1,9,1,12,1,17,2,12,1,17,2,12,1,11,2,10,2,11,3,8,1,9,2,24,1,8,1,9,2,10,1,9,1,24,1,10,1,9,3,12,1,9,2,8,1,9,2,13,1,24,2,9,1,24,1,8,3,13,1,8,2,9,1,8,2,9,1,30,1,28,6,30,2,28,3,30,1,28,6,30,2,6,1,30,3,28,1,30,1,28,1,30,4,6,1,30,1,6,1,13,2,29,1,30,3,29,1,7,1,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,6,1,30,1,6,1,28,1,30,1,28,1,29,1,30,5,28,1,30,2,6,2,30,3,29,1,28,1,30,1,28,2,30,2,28,3,30,2,28,1,30,2,13,1,30,3,28,1,30,1,28,1,30,2,28,1,30,4,28,3,30,1,28,4,30,3,28,1,30,1,28,1,30,2,29,1,28,1,29,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,1,6,1,30,1,29,2,13,1,6,2,29,1,30,2,7,1,29,1,6,1,30,1,29,1,6,1,29,1,6,1,30,2,6,1,13,1,6,1,30,1,28,1,6,1,28,3,6,1,29,1,30,4,29,1,30,1,28,1,29,1,30,2,28,2,6,1,30,2,28,9,30,1,28,6,30,2,28,3,29,1,30,1,28,7,30,4,28,1,30,1,28,5,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,2,6,1,28,5,9,1,7,1,30,1,28,1,30,2,28,1,30,2,28,5,30,1,28,13,30,3,28,2,30,2,28,2,11,1,28,5,30,1,28,1,30,1,6,1,30,4,28,3,30,1,28,8,30,1,28,2,30,1,28,1,30,3,28,3,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,7,30,1,28,1,30,2,28,4,30,2,28,12,30,2,28,14,30,1,28,20,13,1,28,5,9,1,28,29,30,1,28,4,30,2,6,1,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,3,30,2,28,6,9,1,28,2,30,1,28,2,29,1,28,6,30,1,28,3,30,1,28,21,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,29,1,30,1,28,10,30,2,28,11,30,2,16,2,17,3,12,1,11,1,17,19,16,1,17,9,11,1,16,1,17,17,12,1,11,3,17,1,9,1,11,1,17,2,11,1,17,3,16,1,17,2,10,1,17,1,12,1,25,1,29,1,26,1,27,2,25,1,27,2,24,1,29,1,27,2,29,1,30,1,28,17,13,1,10,1,9,1,10,1,11,2,8,1,11,1,9,1,11,1,9,1,11,3,12,1,9,2,17,1,11,2,17,2,10,1,11,1,17,1,11,1,17,3,11,1,12,1,11,1,12,1,17,9,16,1,17,3,8,1,30,1,28,1,6,1,30,6,29,1,30,1,6,2,30,5,6,1,28,1,30,10,6,1,30,1,28,1,6,3,30,1,6,1,30,1,29,1,6,1,28,1,30,1,13,1,6,1,30,1,6,1,28,1,6,1,30,3,28,1,6,1,28,1,30,1,29,1,28,3,30,1,28,1,6,2,28,1,6,3,7,1,6,2,13,1,7,1,13,1,8,1,13,2,8,2,9,1,13,1,8,1,9,2,11,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,11,1,17,2,9,4,8,1,7,1,13,1,6,1,30,1,6,2,29,1,7,1,29,1,13,1,6,1,30,2,7,1,30,1,6,2,29,1,6,1,28,1,6,1,13,2,6,1,30,1,6,1,30,1,29,3,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,1,28,2,6,1,13,1,30,1,28,1,30,1,29,1,30,2,28,1,30,1,28,21,30,3,6,1,28,1,30,1,6,1,30,1,13,2,8,1,7,1,8,3,11,1,16,1,17,1,16,1,12,1,10,1,12,1,10,1,9,1,8,1,12,1,9,1,12,1,16,1,12,1,9,1,11,1,10,1,16,1,9,1,10,1,8,1,13,1,9,1,13,1,6,2,13,1,8,1,6,1,13,1,6,1,30,1,6,3,29,1,6,1,13,1,6,1,29,1,6,2,13,1,6,2,30,3,29,1,6,1,28,1,30,1,6,1,28,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,3,28,1,30,1,29,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,32,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,6,2,28,1,30,1,6,1,30,8,28,3,30,1,28,16,30,1,28,6,29,1,28,1,29,1,30,1,6,3,28,1,30,1,6,1,7,1,30,1,6,3,30,1,13,1,29,2,6,2,30,1,29,1,6,2,7,1,6,3,7,1,6,2,13,1,7,1,13,11,8,1,13,3,8,1,13,4,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,1,8,1,9,1,13,3,9,3,8,1,11,1,13,2,17,1,9,1,10,1,8,1,9,2,13,1,8,1,9,1,13,1,9,3,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,8,2,11,1,9,1,8,1,9,1,8,1,9,2,13,1,9,2,8,1,9,2,11,1,17,18,11,1,17,1,16,1,11,1,16,1,17,1,16,1,17,1,16,2,9,1,17,2,11,3,10,1,11,1,16,1,10,1,9,1,10,1,11,1,9,2,16,1,10,3,9,1,8,1,16,1,9,2,10,1,9,1,11,1,10,1,9,4,10,1,8,2,9,1,8,3,13,1,9,3,8,1,9,1,13,1,9,2,8,1,9,1,11,1,9,1,8,1,11,1,10,1,13,1,9,1,11,1,9,1,13,1,9,1,8,1,13,1,8,1,9,5,10,1,9,1,8,3,9,1,13,1,9,2,13,1,8,1,13,1,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,13,30,1,28,18,8,1,17,1,16,1,13,1,8,1,13,1,29,1,13,1,30,4,28,9,30,1,28,1,6,1,13,1,8,1,9,3,11,2,16,1,9,1,28,6,13,1,9,1,7,1,29,1,28,41,30,1,7,1,6,1,30,2,28,1,17,3,9,1,7,1,28,2,29,1,28,1,29,1,30,1,10,1,9,1,16,1,17,1,11,1,28,6,6,2,30,1,28,4,6,1,28,6,30,1,}, {6,1,28,1,6,1,30,2,28,4,8,1,11,1,6,1,28,52,6,1,8,1,17,1,12,1,29,1,28,4,8,1,9,1,24,1,8,1,13,2,6,1,17,1,12,1,17,3,10,1,17,1,16,2,9,1,13,2,29,1,30,1,6,4,16,1,11,1,6,1,13,1,6,1,13,1,30,1,8,1,17,4,9,2,13,1,29,1,9,2,11,3,16,1,17,2,9,1,6,2,13,1,7,1,13,1,7,1,13,1,29,1,28,14,30,1,28,1,30,1,28,19,30,1,29,1,9,1,8,1,12,1,9,1,28,1,30,3,8,1,13,1,9,1,17,8,11,1,24,1,6,2,30,1,6,1,29,4,6,1,8,1,13,2,8,1,7,1,8,1,9,2,13,1,9,1,16,2,17,1,13,1,28,17,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,1,30,4,29,1,30,3,28,2,30,3,6,1,28,1,30,1,28,1,30,1,28,2,13,2,9,1,13,1,8,1,9,3,11,1,9,1,13,1,11,2,8,1,9,2,8,1,9,3,13,1,9,3,8,1,13,1,9,1,13,1,9,1,13,1,8,2,13,8,8,1,10,1,13,3,9,6,12,1,10,1,12,1,17,1,9,1,10,1,12,1,9,1,11,2,12,1,17,16,11,1,10,1,8,1,9,2,13,1,11,1,9,5,10,1,9,1,10,2,9,2,8,2,9,1,13,1,8,3,7,1,9,1,8,1,13,1,8,1,24,1,13,1,8,2,9,1,8,1,10,1,13,3,9,1,7,1,8,1,13,1,8,2,7,1,13,3,6,1,13,2,6,1,13,5,7,1,6,2,13,2,7,2,13,1,7,1,13,1,7,1,13,1,7,1,6,1,7,1,13,1,6,3,13,1,29,1,6,1,7,1,29,2,6,2,29,1,6,1,7,1,6,2,7,1,6,1,30,1,7,1,6,1,13,1,6,2,29,1,6,1,30,2,6,1,29,1,6,1,29,1,30,3,29,1,30,2,28,1,7,1,30,1,6,1,30,1,6,3,30,1,7,1,29,1,7,1,6,1,7,1,13,1,6,3,30,2,13,1,7,1,13,1,6,1,13,1,8,2,6,1,8,1,13,1,7,1,13,1,8,1,13,3,8,1,6,2,7,1,13,1,7,1,6,1,30,1,6,1,13,2,6,1,9,1,7,1,13,1,8,1,13,1,7,1,24,2,8,1,7,1,6,3,29,1,13,1,6,2,29,1,30,1,6,1,13,1,6,1,30,2,29,1,6,1,29,1,6,3,28,4,30,1,28,6,30,1,28,13,30,2,28,1,30,1,28,3,30,1,28,1,30,1,6,2,7,1,6,1,9,1,8,1,7,1,8,1,6,1,7,1,6,1,13,1,6,1,7,1,13,1,6,1,13,5,17,8,12,1,17,1,24,1,10,1,11,1,9,4,13,3,6,1,13,2,6,1,13,1,7,1,13,4,7,1,13,2,29,1,13,1,6,1,7,2,6,1,29,1,6,1,30,1,7,1,6,1,30,3,6,1,28,1,29,1,28,1,29,2,28,1,6,1,29,1,30,1,29,2,6,1,29,2,6,1,29,1,6,1,30,1,6,2,13,5,7,1,6,1,7,1,6,2,30,2,7,1,29,1,6,3,30,1,6,2,30,1,7,1,29,2,30,1,6,1,30,1,6,2,30,1,6,1,30,3,6,4,29,1,6,2,30,2,29,1,6,1,29,1,6,2,29,1,6,1,13,1,6,1,7,2,6,4,13,1,6,1,30,1,7,1,6,2,28,1,30,2,29,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,13,1,30,1,28,1,30,1,28,1,30,2,6,3,30,1,6,3,30,1,6,1,30,2,6,3,7,1,6,3,13,1,6,1,7,1,6,1,29,1,30,1,13,1,29,1,30,2,6,1,30,1,6,1,7,1,29,1,7,1,30,2,29,1,6,2,28,1,29,1,28,2,30,2,28,1,6,1,29,1,7,1,13,1,6,1,9,2,17,2,11,1,10,1,12,1,11,1,9,1,11,2,17,1,12,1,17,1,11,1,17,4,12,1,11,1,12,2,9,1,10,1,12,1,10,1,12,2,17,1,9,1,17,1,9,1,17,1,11,1,17,1,9,1,12,1,17,1,11,1,17,1,10,1,12,1,11,1,10,2,11,1,17,1,11,1,17,2,12,1,17,3,12,1,17,16,12,1,17,3,11,1,12,4,10,1,11,3,17,1,12,1,9,1,12,1,11,1,12,1,10,1,17,1,12,1,10,1,11,1,9,5,11,1,24,1,9,1,12,1,10,1,8,1,9,1,10,1,12,1,9,1,8,1,9,1,10,1,9,1,13,2,10,1,8,4,24,1,13,1,24,1,8,2,13,1,7,1,9,1,8,1,9,1,13,1,8,1,9,2,28,1,30,1,28,2,30,1,28,3,30,3,28,1,30,1,28,3,30,1,28,2,6,1,29,1,28,1,6,1,13,1,6,1,28,1,30,1,6,1,30,5,28,1,30,1,6,1,30,1,6,1,13,1,30,1,28,1,30,1,13,1,6,1,30,2,29,1,28,1,30,3,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,3,6,1,30,1,28,1,29,1,30,4,28,2,30,2,28,1,30,1,13,1,30,2,6,1,28,1,30,2,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,2,6,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,6,1,28,1,30,1,28,2,30,3,6,1,28,1,30,2,29,1,30,2,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,6,1,13,1,6,2,30,1,6,2,29,2,6,1,30,1,29,1,30,2,6,1,30,1,6,1,30,1,28,1,7,1,29,1,28,1,29,1,28,2,30,1,6,1,30,4,28,1,30,1,28,1,30,2,28,3,30,1,6,1,28,1,30,1,28,10,30,1,28,2,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,8,30,1,28,1,6,1,28,1,30,3,28,1,30,1,28,2,6,1,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,2,9,1,30,1,28,2,6,1,28,1,30,2,28,4,30,1,28,3,30,1,28,8,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,13,1,11,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,5,30,2,28,1,30,3,29,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,1,13,1,30,3,28,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,6,1,28,10,30,2,28,16,30,1,28,9,30,1,28,6,30,1,28,19,6,1,30,2,28,4,8,1,30,1,6,1,30,2,28,3,30,1,28,24,30,2,28,1,6,1,30,2,28,4,30,1,28,6,30,1,28,2,6,1,28,1,6,1,30,1,28,3,13,1,28,3,30,1,28,1,30,1,28,7,30,1,28,10,30,1,28,13,30,1,28,1,30,2,28,2,30,1,28,6,6,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,6,11,1,17,5,12,1,17,17,16,1,17,4,11,1,17,22,11,2,17,2,9,1,10,1,11,1,17,2,11,1,17,1,11,2,17,1,12,1,16,1,17,1,10,1,17,2,12,1,8,2,26,1,27,4,26,1,8,1,26,1,29,2,27,1,29,1,30,1,28,17,9,2,13,1,11,2,9,1,11,1,9,1,11,1,10,1,11,1,8,1,11,1,10,1,9,2,11,1,12,1,11,1,17,1,9,1,11,2,12,1,11,2,17,1,11,2,17,1,11,1,17,1,9,1,17,1,12,1,17,8,16,1,11,1,17,1,8,1,6,1,30,1,6,1,30,2,29,1,30,13,6,1,30,2,28,1,30,1,28,2,30,1,6,1,30,1,29,1,6,1,30,1,29,2,6,2,30,2,6,2,30,1,29,1,30,1,13,1,30,2,6,3,28,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,30,3,28,1,6,2,30,1,6,2,30,1,6,4,13,1,6,1,13,1,7,1,9,1,8,1,13,1,8,2,13,1,9,3,11,1,9,1,13,1,9,3,13,1,8,3,9,1,17,3,9,1,8,1,9,2,13,2,6,2,29,1,6,3,13,4,30,1,6,2,7,1,6,1,30,1,13,1,30,1,9,1,30,1,13,1,7,2,30,1,6,1,28,1,30,1,29,1,28,1,29,1,6,1,28,3,6,1,30,1,28,1,30,3,6,1,28,1,30,1,28,1,13,2,30,1,28,3,30,1,29,1,6,1,28,18,30,2,28,1,30,4,7,1,29,1,6,3,13,5,9,1,10,2,16,1,17,2,11,2,9,1,11,1,9,1,10,1,9,2,11,1,8,1,11,1,9,1,11,1,9,1,11,2,8,1,9,2,8,2,13,4,6,1,29,1,13,1,28,1,6,2,28,1,6,2,29,1,6,1,30,1,29,1,30,1,7,1,29,1,30,1,28,1,30,1,6,2,30,1,6,1,28,1,30,5,28,1,29,1,30,5,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,19,30,1,28,18,30,2,28,6,6,1,28,3,30,1,28,1,29,1,30,4,6,2,30,1,6,1,29,1,6,1,30,1,29,1,30,1,28,1,30,1,28,4,30,1,28,10,30,1,28,1,30,1,28,5,30,2,28,1,29,1,28,1,30,2,6,1,29,1,13,1,29,2,30,1,6,1,30,1,6,1,29,1,6,3,30,1,6,1,7,1,6,1,7,1,6,1,7,1,6,1,13,2,7,1,6,1,7,2,13,1,9,1,13,1,7,1,6,2,9,1,13,1,9,2,8,1,13,2,9,1,13,1,7,1,13,1,9,1,13,1,9,2,8,1,9,1,8,3,9,1,13,5,9,2,8,1,9,2,10,1,8,1,9,1,8,1,13,1,9,1,11,1,9,3,8,2,9,4,13,1,9,1,8,1,11,1,9,2,8,1,13,1,9,2,13,1,9,2,8,1,9,2,8,1,9,1,8,2,13,1,9,1,10,1,9,1,13,1,11,1,9,1,16,1,11,1,17,16,16,2,17,2,16,1,17,2,16,2,17,1,16,1,17,1,10,1,16,1,17,1,16,1,11,1,9,1,16,1,9,1,11,2,9,3,11,1,9,3,11,1,9,1,11,1,10,1,11,2,12,1,9,2,16,1,17,1,9,1,12,1,10,1,8,1,9,3,10,1,9,1,8,2,13,1,9,1,8,2,9,1,13,1,8,1,9,2,8,1,9,1,8,1,9,3,8,1,13,1,8,1,11,1,9,3,11,1,13,1,11,1,9,1,11,2,9,3,13,1,8,1,9,1,8,1,13,1,9,1,13,3,28,5,30,1,28,2,30,2,28,1,30,1,28,8,30,1,28,1,30,1,28,3,30,2,28,16,16,1,17,1,16,1,13,3,7,1,29,1,30,1,28,1,30,1,28,5,30,1,28,5,6,1,7,1,13,2,9,2,10,1,13,1,11,1,9,2,28,6,13,3,29,1,28,41,8,1,13,1,29,1,28,1,30,2,17,3,9,1,28,3,6,1,28,1,29,1,28,1,8,1,9,1,17,2,13,1,28,6,6,1,28,14,}, {24,1,13,1,6,2,30,1,28,1,29,1,28,1,6,1,8,1,13,1,30,1,28,51,30,1,13,1,24,1,17,1,9,1,8,1,28,1,6,1,28,1,29,1,13,1,11,1,24,1,8,1,13,1,8,2,24,1,17,2,12,1,17,4,12,1,9,2,13,1,6,1,29,2,30,1,6,1,13,1,11,1,9,1,13,1,7,2,13,3,17,4,9,1,13,1,11,1,6,1,8,2,9,2,12,1,17,3,9,1,8,1,29,1,13,1,8,1,6,4,28,36,6,1,13,2,8,1,9,2,13,1,30,2,6,1,7,1,6,1,8,1,17,6,16,3,13,1,7,1,6,1,29,1,6,1,7,1,13,1,30,1,13,4,6,1,8,2,13,2,9,1,8,1,11,1,9,1,17,2,8,1,28,17,6,2,30,1,29,1,6,1,28,1,30,1,6,1,28,1,29,1,30,2,28,3,29,1,30,1,29,1,30,1,28,2,30,1,6,1,30,1,28,1,6,3,28,2,6,1,8,3,9,1,8,1,9,1,13,1,8,1,9,1,8,1,11,1,13,1,9,1,8,1,11,1,8,1,13,3,8,2,13,1,9,1,8,1,13,2,8,2,13,5,7,1,13,4,8,1,7,1,8,1,13,1,9,3,13,1,10,1,8,1,9,1,11,1,9,2,12,1,9,1,12,1,10,1,11,2,17,1,16,1,17,2,16,1,17,3,16,1,17,12,11,1,9,1,10,1,17,2,11,1,9,1,10,1,24,1,9,2,24,1,8,1,9,2,8,2,10,1,9,2,8,3,13,2,8,1,13,3,24,1,8,1,9,1,8,1,13,3,8,2,13,2,7,1,13,1,7,1,8,1,13,1,6,1,7,1,13,1,6,1,13,1,8,1,6,1,8,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,8,1,13,1,6,1,13,3,7,1,6,1,13,1,7,1,6,1,7,1,13,1,30,1,7,1,6,1,7,1,6,2,29,1,6,1,7,1,30,1,6,5,29,2,6,3,30,1,6,1,30,2,7,1,13,1,6,1,30,1,6,1,29,1,30,2,6,1,30,3,29,1,28,1,30,1,7,1,6,1,28,1,29,1,30,2,6,4,30,2,29,1,6,1,7,2,6,2,7,2,13,3,8,1,7,1,8,1,13,5,6,1,13,3,6,1,7,2,29,1,13,1,7,1,6,1,7,1,6,1,13,2,8,1,13,1,8,1,13,4,29,1,6,2,13,1,30,1,29,1,6,1,29,1,13,1,6,2,28,1,29,1,6,2,7,1,6,1,28,1,7,1,30,2,28,1,30,1,28,25,6,1,28,1,30,1,28,2,30,1,6,3,29,1,6,2,9,1,8,1,7,1,13,2,6,1,7,1,13,1,6,1,13,1,6,2,7,2,13,1,6,1,8,1,9,1,17,2,12,1,17,3,12,1,17,1,12,1,10,1,9,2,11,1,8,1,10,1,8,1,9,1,13,1,8,1,7,1,13,2,8,1,13,7,7,1,13,2,7,3,13,1,29,1,6,1,29,1,6,1,29,1,30,1,29,1,30,3,29,1,6,2,30,7,29,1,6,1,30,1,29,1,6,2,13,1,29,1,6,1,7,2,6,1,13,1,7,1,13,1,6,2,7,1,6,1,7,1,29,1,6,1,29,1,30,1,7,1,29,2,13,1,6,3,29,1,6,3,29,1,7,1,29,1,30,1,6,1,30,1,6,5,13,1,29,1,30,1,29,2,6,4,7,1,6,1,7,3,6,1,7,1,6,1,7,2,6,2,7,1,29,1,7,2,30,1,29,1,6,1,30,3,28,4,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,2,6,2,30,1,28,1,30,4,6,2,28,1,6,4,30,1,6,1,30,1,6,2,13,1,28,1,29,1,30,1,6,3,30,1,6,1,30,2,6,1,28,1,13,1,28,1,30,1,6,1,30,1,6,2,13,1,29,1,7,1,30,1,6,1,29,2,6,1,28,1,29,1,30,2,6,1,30,3,6,1,13,2,9,1,8,2,11,2,13,1,11,2,10,2,11,1,9,1,11,1,10,1,11,2,17,4,11,1,10,1,12,1,11,5,12,1,10,1,9,2,17,1,12,1,11,1,12,1,11,1,17,2,11,1,17,2,12,2,11,1,17,1,11,1,17,3,12,1,11,1,17,3,10,1,17,2,12,2,17,2,12,1,17,2,12,1,17,12,11,1,17,3,11,1,17,2,12,1,10,1,17,1,9,1,17,2,12,1,10,1,17,2,9,1,17,1,9,1,17,1,9,1,10,1,13,1,10,1,24,1,8,1,10,1,13,1,9,1,10,1,11,1,10,1,9,1,10,1,9,3,10,1,8,1,10,1,8,1,24,1,13,1,8,1,9,1,24,3,8,5,24,1,8,1,9,2,7,1,28,1,30,2,28,3,30,1,28,2,30,1,28,1,30,2,28,5,30,3,6,1,29,1,6,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,6,1,13,1,6,1,13,2,6,1,30,2,28,1,30,2,28,2,30,3,28,1,30,1,28,2,30,1,28,1,30,1,6,1,30,1,6,1,28,1,30,6,28,1,30,1,28,2,30,1,6,2,28,2,30,1,6,1,28,2,30,1,29,1,30,1,28,2,6,1,28,1,30,1,28,2,30,2,6,1,13,1,30,1,6,1,30,3,28,1,30,5,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,1,30,2,28,1,30,3,6,1,7,1,6,2,30,2,6,2,30,1,6,1,30,1,28,5,6,3,30,1,29,1,30,1,6,2,30,1,6,2,29,1,30,1,29,1,6,1,29,1,30,2,7,1,30,1,6,4,30,1,6,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,28,4,30,2,28,1,29,1,30,1,28,3,30,1,28,4,30,1,28,9,30,1,28,2,30,4,28,7,30,3,28,2,30,1,28,1,30,1,6,2,30,2,7,1,13,1,30,2,28,2,30,1,28,3,30,2,28,1,30,1,6,1,13,1,6,1,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,4,30,2,28,7,30,2,28,1,30,1,28,3,30,1,28,5,13,1,16,1,6,1,30,7,28,1,30,1,28,1,30,1,28,1,30,1,28,5,29,1,28,1,13,1,28,4,30,3,28,1,29,1,28,2,30,1,28,2,30,2,28,3,30,3,28,5,30,1,28,12,30,1,28,16,30,1,28,10,30,1,28,12,30,1,28,7,30,1,28,2,30,3,28,6,13,1,28,1,30,2,28,1,30,2,28,11,30,1,28,8,30,2,28,1,30,1,28,4,30,2,28,4,30,2,28,1,30,1,28,4,30,1,28,2,30,2,28,1,30,1,28,3,7,1,29,1,28,2,29,1,28,1,30,1,28,5,30,2,28,30,30,4,28,2,30,1,6,1,30,1,13,1,6,1,30,1,28,8,30,2,28,1,30,1,28,13,6,1,17,4,10,1,24,1,17,40,12,1,17,5,11,1,12,1,17,1,11,2,17,1,11,1,17,1,11,1,17,2,11,1,17,2,16,1,17,1,11,1,17,2,12,2,8,1,25,1,27,5,25,1,27,1,29,2,27,1,6,1,30,1,28,16,13,1,9,2,8,1,9,1,12,1,9,3,11,1,9,2,11,2,9,1,11,4,9,1,11,1,9,1,17,1,11,2,17,4,11,3,9,1,10,1,16,1,10,1,17,3,16,1,17,4,16,1,17,1,12,1,11,1,30,1,6,2,28,1,6,2,30,1,6,1,30,1,29,1,30,1,6,1,30,3,13,1,30,1,28,1,6,2,30,3,6,2,30,5,6,1,30,1,29,1,6,1,29,1,30,1,6,1,30,1,13,1,30,2,6,1,30,1,7,1,6,1,30,1,7,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,2,28,2,7,1,29,1,30,1,6,1,30,1,6,2,13,1,8,1,13,5,8,1,9,1,8,1,13,2,9,2,13,1,10,1,9,4,8,1,13,2,7,1,17,3,12,1,9,1,11,1,9,1,13,1,6,1,13,2,6,1,29,1,6,2,13,2,6,1,28,1,6,3,30,1,6,1,30,1,13,3,6,1,30,1,6,1,30,2,13,1,28,1,29,1,30,1,6,1,28,1,6,3,30,2,28,1,30,7,6,3,28,3,30,1,28,2,13,1,28,15,30,2,28,1,30,1,29,1,28,1,6,3,7,1,29,1,7,2,6,1,13,1,7,1,13,2,8,1,9,1,10,1,11,1,16,2,17,2,11,1,10,1,9,1,11,1,9,2,16,1,11,1,12,1,10,1,12,1,17,1,10,1,11,1,9,4,13,1,9,2,13,1,6,3,7,1,30,2,29,1,6,1,30,1,6,2,30,1,6,2,13,1,6,1,7,1,28,1,30,1,13,1,6,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,3,29,1,30,3,29,1,30,3,6,1,28,2,6,1,30,1,28,2,30,1,28,5,30,1,28,5,29,1,28,15,30,1,28,20,30,1,28,1,30,4,28,1,6,1,30,1,28,1,6,1,30,3,29,1,6,5,30,2,6,1,29,1,30,1,6,1,28,1,30,1,28,3,6,2,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,6,2,7,1,6,1,30,2,7,1,6,1,28,1,7,1,6,1,13,1,6,2,7,1,29,1,6,1,30,1,6,1,13,1,6,2,13,1,6,2,13,1,6,1,13,1,6,2,13,1,8,1,13,2,8,2,13,1,8,1,13,3,9,1,13,5,8,1,13,1,8,1,9,1,13,1,9,1,13,1,8,2,13,1,8,1,9,1,7,1,8,1,9,2,13,1,9,1,8,1,16,1,9,2,12,1,9,1,11,1,9,1,11,1,9,1,13,1,9,1,8,1,9,1,8,1,9,2,8,1,9,3,8,1,9,2,13,1,9,2,13,2,8,1,13,3,9,3,13,1,8,1,9,1,13,1,8,1,13,1,9,3,11,1,16,1,17,22,16,1,17,2,16,1,11,1,16,2,10,1,17,2,10,1,9,1,10,1,9,1,11,1,13,1,9,2,16,1,9,1,11,1,9,1,12,1,9,2,11,1,9,1,11,1,10,1,9,1,11,1,10,1,9,2,11,1,9,1,12,1,11,2,9,2,11,1,9,7,13,2,8,2,11,1,13,2,9,1,8,1,13,1,8,1,9,1,8,3,9,1,13,2,9,4,8,1,13,1,8,2,13,1,9,1,13,1,9,2,8,1,13,2,28,4,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,2,30,2,28,1,30,2,28,16,16,1,17,1,16,1,8,2,7,1,29,1,6,1,28,14,6,2,30,1,13,1,10,1,8,1,13,1,11,1,17,2,13,1,28,6,9,1,13,1,6,1,30,1,28,41,30,1,7,1,6,1,28,2,6,1,17,3,9,1,28,5,6,2,13,1,16,1,11,1,17,1,28,7,30,1,28,1,30,1,28,12,}, {9,1,30,1,13,1,6,1,30,1,29,1,30,1,28,1,6,1,8,1,9,1,28,54,12,1,10,1,24,1,13,1,28,1,29,1,30,1,28,1,7,1,17,1,9,1,24,2,13,2,11,1,17,6,12,1,17,1,9,1,13,1,6,2,30,3,6,1,13,1,16,1,9,2,7,1,13,1,6,2,9,1,17,4,11,2,8,1,9,4,17,2,11,1,17,2,8,1,6,1,13,1,6,1,13,1,6,1,7,1,8,1,30,1,28,36,6,2,8,1,16,1,9,2,24,1,6,1,30,1,13,1,29,1,13,2,10,1,17,6,11,1,17,1,9,1,7,2,6,2,30,1,6,1,7,1,13,1,7,1,30,1,8,1,6,1,13,2,7,1,8,3,17,1,11,1,16,1,14,1,13,1,28,18,30,2,28,1,6,1,30,3,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,3,6,1,8,1,9,2,11,1,8,2,9,9,8,1,9,1,13,2,9,2,13,5,8,1,13,1,8,2,13,3,8,1,13,2,6,1,13,3,8,1,13,1,8,1,13,3,9,1,13,1,8,1,9,2,10,1,16,1,10,1,9,2,17,1,11,1,16,1,17,1,10,1,16,1,17,7,16,1,17,12,10,1,9,1,11,1,9,2,8,3,9,1,8,1,10,1,13,1,9,2,12,1,13,1,9,2,8,1,9,1,8,6,10,1,7,1,8,2,13,1,8,3,7,1,13,1,24,1,13,3,24,1,13,4,6,1,13,3,6,1,7,1,13,2,7,1,13,1,8,1,13,1,6,2,7,1,13,2,7,4,6,2,7,1,13,2,6,1,7,1,6,2,29,1,6,2,30,1,7,1,6,3,7,1,28,1,29,1,7,1,29,1,6,3,7,1,29,1,6,1,29,1,30,1,29,1,30,2,6,1,30,1,6,1,24,1,30,1,6,1,29,1,30,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,6,1,30,2,29,1,30,2,7,1,28,1,6,1,30,1,7,1,30,1,6,1,30,2,6,1,13,1,6,1,7,2,13,1,8,1,24,1,8,1,13,6,6,1,7,1,13,2,7,1,13,2,7,1,6,1,29,1,6,1,7,1,13,2,7,1,6,1,8,1,13,2,6,1,13,1,7,1,6,2,29,1,7,1,6,1,29,2,30,1,6,1,29,1,6,1,7,1,30,1,6,2,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,8,30,1,28,14,30,2,28,1,29,1,6,1,7,1,6,5,13,1,11,1,8,1,6,1,7,1,13,2,7,1,13,1,6,1,7,2,29,1,7,1,30,1,6,2,8,2,17,6,12,3,10,1,9,1,11,1,9,1,8,2,9,1,8,1,13,4,8,1,6,1,7,1,8,1,6,1,13,2,6,3,7,1,13,2,7,3,6,1,29,1,6,1,29,2,6,1,29,3,30,2,29,1,28,1,29,1,30,1,28,2,30,3,6,1,30,1,6,2,29,1,7,1,29,1,30,1,6,1,13,1,6,1,13,2,7,1,6,5,7,1,13,1,6,1,7,1,30,1,29,1,6,2,30,1,13,1,6,2,30,2,6,1,30,2,6,2,30,2,7,1,6,1,28,1,6,1,30,1,28,1,30,1,6,1,7,1,6,2,29,1,6,2,13,2,6,1,30,1,7,2,29,1,6,1,7,1,13,1,7,2,6,1,7,1,6,1,29,2,6,2,30,1,29,1,30,1,28,1,30,2,29,1,30,1,28,1,30,2,28,5,30,1,28,5,30,1,28,2,30,4,28,1,30,2,28,2,30,2,29,1,6,1,29,1,6,5,30,1,6,1,30,3,6,1,30,1,7,1,30,1,6,1,30,1,6,1,29,3,28,1,6,1,30,3,6,1,30,1,6,1,30,1,29,1,30,1,29,2,6,1,29,1,30,1,29,1,30,4,29,1,30,1,6,1,30,1,13,2,11,1,8,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,11,1,10,1,9,1,11,1,17,1,12,2,17,3,11,1,17,2,12,2,10,1,11,2,12,1,11,2,12,3,9,1,12,1,17,1,10,1,9,1,12,1,9,1,12,1,17,3,12,1,17,2,11,1,17,1,12,2,17,1,10,1,12,1,17,11,12,1,17,3,12,1,17,2,12,1,17,8,12,1,17,1,12,3,17,1,11,1,10,1,11,1,17,2,12,2,17,1,9,1,11,1,10,1,9,2,12,1,9,2,8,1,9,1,11,1,12,1,9,1,10,1,12,1,9,2,24,1,9,1,11,1,10,2,24,1,10,1,8,3,11,1,9,1,13,1,24,2,13,2,8,1,9,1,13,1,8,2,13,1,11,1,13,1,28,4,30,1,28,4,29,1,28,2,30,2,28,4,30,1,28,1,29,1,6,1,30,2,13,1,28,1,30,1,6,1,28,1,30,3,28,1,30,2,28,1,30,1,6,2,30,1,6,1,29,2,6,1,13,1,6,1,30,3,28,1,6,1,30,2,28,1,30,4,28,1,30,4,6,1,30,1,28,1,30,1,28,1,30,2,28,3,30,2,29,1,28,1,6,2,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,6,28,1,6,2,30,1,6,1,30,2,6,1,28,1,6,1,28,1,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,3,28,1,30,1,6,1,13,1,6,1,28,1,30,2,29,1,30,1,28,1,30,2,28,1,6,2,28,3,30,1,7,1,6,2,28,1,13,2,6,1,30,1,29,1,30,7,29,1,28,1,29,1,30,2,6,1,30,1,13,2,28,1,6,1,28,1,30,2,28,2,30,4,28,2,30,1,28,2,30,2,28,1,6,1,28,1,30,2,28,9,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,2,28,7,30,2,28,2,29,1,28,5,30,1,6,2,28,2,30,4,28,2,30,1,28,3,30,1,13,1,6,1,28,2,30,2,28,8,30,1,28,2,6,1,28,6,30,1,28,2,30,2,28,2,30,1,28,3,13,1,17,1,6,1,28,1,30,3,28,1,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,43,30,1,28,8,6,1,30,1,28,4,30,1,6,1,28,1,30,1,28,4,13,1,8,1,28,8,30,1,28,7,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,1,29,1,30,2,28,1,6,2,28,8,30,1,28,3,30,1,28,3,30,2,29,1,28,3,9,1,30,1,28,2,30,2,28,1,30,4,28,16,30,1,28,12,30,1,28,4,30,1,28,3,30,3,28,1,30,2,28,6,30,1,28,1,30,1,28,5,30,1,28,8,30,1,28,1,30,1,28,1,16,1,17,4,24,1,10,1,17,29,11,1,17,15,11,1,17,1,11,4,17,1,10,1,9,1,12,1,17,4,11,1,16,1,11,1,17,3,10,1,8,1,26,1,25,1,26,1,27,1,25,1,27,1,26,1,25,1,29,1,30,1,29,2,30,1,28,16,9,3,13,1,11,1,9,1,11,1,10,1,9,1,8,1,9,4,11,2,9,1,11,3,10,1,11,6,17,1,12,1,9,1,11,3,16,1,12,1,11,1,17,12,13,1,29,1,6,2,30,2,6,1,30,1,6,2,30,1,6,1,30,4,6,1,30,5,28,1,6,1,30,1,6,1,30,2,6,1,29,1,30,1,6,1,30,1,6,1,30,1,13,1,30,2,29,2,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,28,2,30,3,28,2,30,1,28,1,30,6,29,1,30,3,29,1,6,1,29,1,7,1,6,1,13,4,9,2,13,1,8,1,13,1,9,1,10,1,13,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,2,17,3,9,4,8,1,7,1,13,1,29,1,6,1,13,3,6,5,29,1,6,3,13,1,6,1,29,1,6,1,29,1,6,2,29,1,30,2,6,1,30,2,28,1,30,2,28,1,30,5,6,1,28,1,30,3,13,1,6,1,28,7,9,1,28,1,30,1,28,8,30,2,28,6,30,1,29,1,30,1,6,1,13,1,6,1,7,2,13,4,8,1,9,1,13,1,9,2,10,1,16,1,12,1,17,3,11,2,10,1,9,1,12,1,9,1,10,1,16,1,11,2,10,1,9,1,12,1,9,2,8,1,9,1,13,2,8,1,7,1,13,3,6,4,30,1,6,1,28,1,30,1,6,2,7,2,30,1,28,1,6,1,30,2,6,1,28,1,30,1,28,1,30,2,29,1,28,1,6,1,30,6,6,1,30,1,29,1,30,1,6,1,28,1,30,1,28,1,30,3,6,1,30,2,28,2,30,2,28,4,30,1,28,19,30,1,28,25,30,4,29,2,30,2,6,2,30,1,13,1,30,1,13,2,6,1,30,1,29,1,6,1,29,1,6,1,28,1,30,1,29,1,30,1,28,1,30,4,28,3,30,2,28,1,30,2,28,2,30,2,28,1,29,1,30,1,28,1,30,4,29,1,28,1,30,1,6,1,29,1,7,1,6,1,30,1,29,1,6,12,13,4,6,2,7,1,30,1,13,1,6,1,7,1,13,4,7,1,13,1,8,1,13,2,9,1,13,3,9,1,13,8,7,1,13,3,8,1,13,2,8,1,9,1,8,2,9,1,13,1,11,1,10,1,8,1,10,1,8,1,9,1,11,1,9,1,8,1,11,1,8,1,11,1,9,2,13,2,8,1,9,1,11,1,8,3,9,2,13,1,9,2,13,1,9,1,13,1,9,1,8,1,9,1,13,2,9,1,8,4,9,2,13,1,8,1,13,1,8,1,9,1,10,1,9,1,17,8,16,1,17,4,16,1,17,2,16,1,17,1,16,1,11,1,17,5,16,2,17,1,11,1,17,1,16,1,11,1,16,1,11,3,16,1,10,1,12,1,16,2,9,1,11,2,17,1,12,1,9,2,11,1,12,1,9,1,11,3,9,1,11,1,9,2,11,3,9,1,12,1,9,2,12,2,13,1,9,4,11,1,9,1,8,1,13,1,9,7,8,3,11,1,9,2,11,1,9,2,8,2,9,3,13,1,9,1,11,1,8,1,9,2,30,2,28,5,30,1,28,3,30,3,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,19,17,2,16,1,13,2,8,1,13,2,28,13,29,1,28,1,6,1,8,2,9,2,8,1,16,2,17,1,13,1,28,6,8,1,9,1,30,2,6,1,28,40,6,1,29,2,28,2,8,1,17,3,9,1,28,4,30,1,29,1,6,1,13,1,9,2,17,1,6,1,28,5,30,1,29,1,28,14,}, {11,1,6,1,8,1,29,1,30,2,28,1,30,1,28,1,8,1,24,1,6,1,28,52,8,1,9,2,11,1,13,1,6,1,28,1,30,1,28,1,8,1,9,1,8,1,9,1,24,1,8,2,9,2,11,1,12,1,17,5,10,1,17,1,6,2,30,1,6,1,30,2,8,1,16,2,7,3,6,1,7,1,13,1,17,4,11,1,8,2,13,2,9,1,12,1,11,1,16,1,11,1,16,1,17,1,9,1,8,1,6,1,13,1,6,1,13,1,24,1,13,2,28,36,29,1,13,3,9,2,13,1,28,1,6,1,29,1,6,1,13,2,17,8,9,3,13,1,7,1,6,1,30,1,7,2,6,1,13,1,7,1,13,1,7,1,24,1,13,1,7,1,13,2,11,1,9,1,17,1,16,1,14,1,11,1,28,19,30,1,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,3,28,1,30,1,13,2,9,1,8,1,9,3,13,1,9,1,8,1,9,2,11,1,13,1,9,3,13,1,8,1,13,2,9,1,8,1,9,2,13,1,9,1,13,1,8,1,13,9,6,1,13,3,7,1,13,2,7,1,9,1,13,3,8,2,9,2,11,2,9,2,10,1,12,1,10,1,17,22,11,1,9,1,10,1,9,1,10,1,9,1,8,1,10,1,9,1,8,1,13,1,9,2,13,1,8,3,13,4,8,1,24,1,8,1,24,1,8,3,13,2,8,1,13,4,24,1,13,1,24,1,6,1,8,1,13,1,6,1,8,1,13,6,7,1,8,1,7,1,13,1,6,1,7,2,6,2,8,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,7,1,29,1,30,1,8,1,29,1,6,3,13,1,6,1,13,1,30,1,7,1,6,1,29,1,6,1,29,1,6,2,29,2,6,1,30,1,6,2,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,9,1,6,1,28,1,6,2,30,1,6,1,28,1,30,1,7,1,30,1,28,2,30,3,29,1,30,1,29,1,30,1,6,1,28,1,6,1,29,1,30,1,29,2,6,1,29,1,6,1,13,2,7,1,13,2,6,1,8,1,13,1,6,1,13,1,6,1,13,2,7,1,6,2,7,1,13,1,6,1,30,1,29,1,7,1,6,3,8,1,13,1,7,3,13,1,7,1,6,3,29,1,7,2,6,1,7,1,6,5,28,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,2,28,24,30,4,6,1,13,1,7,1,6,1,29,1,6,3,30,1,29,1,9,1,10,1,13,1,7,1,8,1,7,1,6,1,13,2,6,3,29,1,6,2,30,1,7,1,8,1,11,1,17,6,12,1,11,1,10,1,11,1,10,1,24,1,9,1,24,1,9,1,8,1,13,6,7,1,13,1,6,1,13,3,24,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,6,4,29,1,30,3,6,1,29,1,6,1,30,2,28,1,30,2,29,1,30,1,29,1,30,1,7,1,30,1,6,1,29,1,30,1,29,1,7,1,13,1,7,1,6,2,8,1,13,1,29,1,30,1,7,2,6,1,30,2,6,2,29,1,7,1,6,1,30,1,7,1,30,1,6,1,30,1,29,1,6,2,29,3,6,5,30,1,6,5,7,1,6,2,7,1,6,1,13,1,7,1,29,1,30,1,7,1,6,1,30,1,6,2,7,1,6,1,7,1,6,3,7,1,6,3,7,1,30,1,29,1,30,2,29,1,28,1,30,4,28,1,30,1,28,14,30,1,6,1,28,1,30,1,28,1,30,3,29,2,30,2,6,1,29,1,6,1,29,1,13,1,6,2,30,1,6,3,29,1,6,4,7,1,30,1,28,1,30,2,28,2,30,2,6,1,30,2,29,1,6,3,29,1,6,2,30,2,28,1,30,1,28,1,29,1,28,1,30,4,7,1,13,1,9,4,12,1,17,1,9,1,8,1,13,2,9,1,8,2,11,4,17,1,11,1,17,1,10,1,17,3,9,1,17,1,11,1,17,1,9,2,10,1,11,1,9,1,11,1,12,1,17,1,11,1,9,1,11,4,17,1,12,1,10,1,17,2,12,1,17,1,12,1,17,3,12,1,17,2,12,1,17,5,12,1,11,2,17,1,12,1,17,1,10,1,12,2,17,3,12,1,17,4,10,1,17,3,11,1,12,1,17,4,11,1,17,2,12,1,17,1,12,2,11,1,12,1,17,1,9,2,10,1,13,2,11,2,9,1,11,2,24,1,10,1,12,1,9,1,12,1,9,1,11,1,9,1,8,1,9,1,8,2,24,1,8,2,24,1,9,2,24,2,13,2,8,1,13,1,8,2,13,1,11,1,9,1,28,1,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,5,30,3,7,1,30,1,13,1,6,1,30,1,28,1,30,2,6,2,30,1,6,1,30,5,6,2,30,4,6,2,28,2,30,1,28,4,30,1,28,2,30,6,28,1,30,3,28,1,30,1,28,1,30,3,28,4,30,2,13,1,28,2,30,2,28,2,30,3,28,2,30,1,28,1,30,1,28,2,30,1,28,1,6,2,13,1,30,1,28,1,6,1,30,3,28,1,30,3,28,2,30,2,28,1,30,4,28,1,30,1,28,1,30,2,28,1,30,3,28,1,13,1,30,2,6,1,30,2,6,1,30,1,28,2,30,1,28,3,30,2,6,1,30,3,13,2,6,3,30,1,6,1,30,2,6,3,30,2,6,1,30,1,6,1,30,2,6,1,30,1,13,1,30,1,6,1,29,1,28,1,30,1,28,2,6,1,28,2,30,1,6,1,28,2,29,1,28,1,30,2,28,1,6,1,30,1,29,1,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,4,30,1,6,2,30,3,28,1,30,3,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,2,28,1,30,3,7,1,30,3,28,1,30,4,28,1,30,2,28,1,13,2,30,1,28,3,6,1,28,1,30,3,28,4,6,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,30,2,6,1,17,1,6,1,28,3,30,3,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,5,6,1,30,2,28,1,30,1,28,9,30,1,28,9,30,3,28,2,30,1,28,7,30,1,28,4,30,1,28,16,30,1,28,18,30,1,28,16,29,1,30,1,28,2,30,1,28,3,6,1,13,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,5,30,1,28,2,30,3,28,2,30,2,28,1,30,1,28,2,30,3,28,2,13,2,30,2,28,7,30,1,28,1,30,1,28,3,30,1,28,2,6,1,28,1,30,1,6,1,7,1,28,1,30,3,28,2,30,1,28,3,30,2,6,1,28,14,30,1,28,11,6,1,28,7,30,1,28,5,30,2,28,7,30,2,28,1,30,1,28,4,30,1,28,3,30,2,28,5,6,1,17,4,24,1,12,1,17,17,11,1,17,12,11,1,17,14,11,2,17,3,11,1,17,1,11,1,8,1,11,1,17,1,12,1,17,1,9,1,16,1,11,1,17,3,10,2,24,1,6,1,27,2,26,1,25,3,27,2,29,1,27,1,29,2,28,16,13,2,9,1,13,1,9,2,11,1,9,2,11,1,9,1,10,2,9,1,11,4,9,1,17,1,9,1,11,3,10,1,12,1,17,1,11,3,12,1,11,4,17,1,12,1,17,5,11,1,17,5,9,1,7,1,6,1,30,1,6,1,30,8,28,1,6,2,29,1,30,1,6,1,29,1,28,1,30,5,6,1,30,1,6,4,13,1,6,1,30,2,13,2,30,1,6,1,28,1,29,1,30,1,6,1,30,7,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,4,13,1,30,3,6,2,13,1,29,1,13,1,6,2,13,1,6,1,7,2,9,1,8,1,9,1,11,1,8,1,13,1,9,4,13,3,8,1,9,1,13,1,11,1,17,2,10,1,9,1,8,1,13,1,8,1,13,1,6,1,13,2,6,1,13,2,7,1,28,1,6,4,7,1,6,1,13,1,29,1,6,1,30,1,6,3,30,1,13,1,6,1,7,1,6,1,30,2,29,1,30,1,29,1,30,3,6,1,30,2,28,2,6,1,30,1,7,1,6,1,28,7,30,1,9,1,28,14,30,4,6,3,7,1,13,6,7,1,13,4,9,2,11,1,17,1,11,1,17,2,16,1,12,1,9,1,12,2,11,1,9,1,11,1,9,1,12,1,9,1,10,2,9,3,8,2,13,4,6,2,13,1,7,1,29,1,28,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,29,3,28,1,29,1,28,1,30,1,28,1,30,4,28,2,30,3,28,1,6,1,28,1,29,1,28,4,30,2,28,1,29,1,28,4,30,1,28,14,30,1,28,30,30,1,28,4,30,2,29,1,30,3,6,1,30,1,6,1,30,1,29,2,6,1,29,1,6,1,13,1,6,2,30,1,6,1,13,1,6,2,30,4,7,1,6,1,28,1,30,2,28,2,30,1,28,1,30,2,29,1,28,1,30,4,28,1,29,1,30,2,28,2,30,1,28,2,6,3,13,1,30,1,13,1,29,1,7,1,6,1,29,1,6,3,30,1,6,5,7,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,13,1,7,1,6,1,7,1,13,2,7,1,9,1,7,1,13,1,8,1,13,1,8,1,13,1,9,1,13,2,8,1,13,1,9,1,8,1,13,2,8,1,13,1,8,1,13,1,9,1,8,1,9,1,8,3,9,7,8,1,9,1,10,1,9,1,11,1,9,3,13,1,8,1,9,1,10,1,11,1,9,1,13,1,9,3,8,1,9,2,13,1,8,1,9,1,13,1,9,2,8,1,13,1,9,3,13,1,9,3,13,1,8,2,9,1,8,1,9,2,10,1,9,3,16,2,17,1,16,1,17,3,16,1,17,1,16,1,17,10,16,1,17,1,16,3,17,2,10,1,11,1,9,3,11,3,9,1,12,1,11,2,12,1,9,2,10,1,11,4,9,1,11,1,9,1,10,1,8,1,9,5,10,1,9,2,12,1,8,1,9,6,11,1,9,1,8,1,9,2,12,1,11,1,9,6,8,1,11,1,9,2,11,1,10,1,11,1,10,2,13,1,10,1,13,5,9,3,13,2,29,1,28,12,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,17,17,2,11,1,8,1,13,1,6,1,30,1,6,1,30,1,28,1,30,1,28,11,6,1,29,1,28,1,9,3,11,1,12,1,17,1,16,1,13,1,28,1,30,1,28,4,8,3,29,1,6,1,28,40,6,1,8,1,28,2,30,1,13,1,17,3,13,1,28,3,30,1,28,1,7,1,6,1,8,1,13,1,17,2,6,1,28,5,6,1,30,2,28,13,}, {13,3,7,1,30,3,28,2,10,1,14,1,28,54,6,1,24,1,12,1,13,1,6,1,28,2,30,1,6,1,9,1,10,1,8,1,13,1,30,1,7,1,8,1,11,1,17,1,12,1,11,1,17,3,12,1,17,1,9,1,13,1,29,1,6,1,30,1,29,1,30,1,13,1,12,1,9,2,8,2,7,1,13,2,17,4,11,1,17,1,8,2,6,1,8,2,11,1,16,1,17,1,12,1,17,1,9,1,6,2,13,1,6,1,8,1,6,1,13,2,28,36,30,1,8,1,13,1,7,1,9,1,8,1,13,1,6,2,24,1,9,1,13,2,17,7,11,3,8,1,6,1,29,1,13,1,7,1,13,2,29,2,13,1,8,2,24,1,8,1,13,2,9,1,13,1,9,1,16,2,14,1,8,1,28,18,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,2,30,2,28,1,30,2,28,3,13,2,9,1,8,1,9,1,13,1,9,1,13,1,11,1,13,1,8,1,13,1,9,1,13,1,8,1,9,2,13,1,8,2,9,1,8,1,13,2,9,1,13,1,8,1,13,2,8,2,9,1,13,8,8,1,13,3,7,1,13,1,8,1,13,1,8,3,9,3,11,1,9,1,17,2,11,1,17,1,12,1,17,24,8,1,9,1,11,1,9,1,8,1,11,1,13,1,9,2,8,2,13,1,8,2,13,1,8,2,9,1,24,1,13,1,8,2,13,1,8,2,24,1,7,1,8,2,13,2,24,1,8,1,6,1,13,6,6,1,7,1,8,1,13,2,6,1,13,1,7,1,13,1,29,1,13,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,13,2,29,1,7,1,6,1,7,2,6,3,13,1,29,1,7,1,8,1,6,5,7,1,29,1,6,1,29,1,6,1,30,2,29,1,6,1,30,1,6,2,30,1,28,2,6,1,28,1,6,1,30,1,6,2,30,1,6,1,30,1,6,2,30,1,6,1,30,1,13,1,30,3,28,2,29,1,30,1,6,1,30,5,28,1,29,2,30,1,6,1,28,1,6,1,29,1,6,1,7,3,6,1,13,2,6,1,7,2,6,2,13,1,7,3,6,1,8,1,6,2,30,2,6,2,13,2,7,2,13,2,7,1,13,1,6,3,7,1,6,1,7,2,6,1,29,1,30,1,6,1,30,1,6,3,28,1,7,1,29,1,30,1,28,1,30,2,28,2,30,1,28,23,30,1,13,2,6,2,30,1,29,1,28,1,29,1,30,2,13,1,7,1,8,2,9,1,8,1,13,2,6,4,7,1,6,5,7,1,9,2,17,3,12,1,10,1,12,2,9,1,12,1,11,1,9,1,8,1,9,1,24,1,8,2,7,1,13,1,7,1,6,1,7,1,8,1,13,3,7,1,13,1,6,1,7,1,6,2,13,1,6,1,8,1,13,1,7,1,6,2,30,1,7,1,29,1,6,1,13,2,7,1,6,1,13,1,6,3,29,2,30,1,29,2,30,1,29,2,30,2,6,1,13,1,30,1,6,1,13,1,6,1,13,3,7,1,29,1,6,1,29,2,6,2,29,2,6,1,7,1,6,1,29,1,7,1,29,1,6,2,30,1,29,2,30,1,29,1,30,1,29,1,6,2,29,1,30,1,6,7,30,1,29,1,6,2,7,1,30,1,6,1,13,1,6,1,7,1,6,2,7,1,6,1,7,1,6,2,7,1,6,1,29,2,6,1,30,2,29,1,6,1,30,8,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,2,28,8,30,3,29,4,6,2,7,1,30,1,13,1,6,2,30,1,6,1,7,1,30,1,29,1,13,1,6,1,30,2,28,1,29,1,30,1,28,1,30,1,6,1,30,1,28,2,30,1,6,1,30,5,29,1,30,4,6,1,29,1,30,2,6,2,7,1,13,1,9,1,11,1,9,2,11,2,17,1,9,1,13,1,9,2,8,1,13,1,8,1,9,2,11,1,12,3,17,1,11,1,17,1,11,3,12,2,10,1,17,1,9,1,11,1,10,2,11,1,12,1,10,1,17,1,12,2,11,1,12,1,17,1,12,2,11,1,17,1,12,1,17,5,12,1,17,5,12,1,17,6,12,1,17,1,12,1,17,2,11,1,17,5,11,1,17,1,12,1,17,12,11,1,17,1,12,2,17,1,12,1,17,1,9,1,11,2,10,2,9,1,11,1,9,1,12,1,11,1,12,1,9,7,10,1,8,1,9,1,13,1,8,1,24,2,9,2,10,1,9,1,13,1,8,3,13,1,8,2,9,1,13,1,11,1,9,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,5,30,1,28,1,29,1,30,1,29,1,28,1,30,1,6,1,13,1,30,4,6,2,28,1,30,6,6,2,30,1,28,1,30,2,6,1,28,1,30,2,28,2,30,1,28,1,30,4,28,1,30,3,28,2,30,3,28,1,30,7,28,4,30,1,7,1,30,1,6,1,28,1,29,1,28,1,30,3,28,2,30,1,28,3,30,3,28,3,9,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,3,6,1,30,1,28,1,30,4,28,1,30,2,28,2,30,2,28,1,13,1,28,1,29,1,6,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,13,1,6,2,28,1,6,1,13,1,9,1,29,1,30,2,28,1,6,1,30,2,6,1,30,1,6,1,30,1,29,1,30,1,28,1,30,1,29,1,6,1,7,1,28,1,7,2,30,2,7,1,28,2,30,1,28,2,30,1,6,1,28,3,30,1,28,1,30,1,28,1,30,2,6,1,28,2,30,1,28,2,30,2,28,2,30,2,28,3,30,1,6,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,8,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,6,1,30,2,28,1,30,3,28,1,29,1,30,2,9,1,8,1,6,1,28,2,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,1,30,4,28,2,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,1,6,1,11,1,30,1,28,1,30,2,28,2,30,2,28,1,30,3,28,2,30,2,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,4,28,3,30,2,28,2,6,1,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,1,6,1,30,1,28,3,30,1,28,7,30,1,28,22,30,1,28,4,30,1,28,8,30,1,28,7,30,1,28,6,30,3,13,1,28,5,13,2,30,1,28,9,30,1,28,5,30,1,28,3,30,3,6,1,28,4,30,1,28,3,30,1,28,3,13,1,6,1,28,3,30,1,28,1,30,1,28,1,30,2,28,4,6,1,28,1,30,4,6,1,28,1,13,1,6,1,28,5,30,5,28,1,6,1,28,3,30,1,28,6,30,1,28,16,30,1,28,2,30,1,28,11,30,1,28,4,30,1,28,15,30,1,29,1,30,1,28,3,13,1,17,4,11,1,24,1,17,28,11,1,17,10,11,1,17,6,11,2,17,1,11,1,17,1,11,1,17,1,9,1,11,1,12,1,17,2,11,2,17,4,9,1,17,1,9,1,26,1,29,1,27,2,26,1,27,2,26,1,25,1,29,1,27,1,7,1,29,1,28,16,9,2,13,2,12,1,11,1,9,2,8,1,9,2,10,1,8,1,9,2,11,3,9,2,17,1,9,2,17,1,11,1,9,1,11,1,9,1,16,1,17,1,9,1,11,2,10,1,11,2,17,12,16,1,9,1,28,1,6,3,30,1,6,1,28,1,30,1,6,1,28,1,30,2,6,1,30,2,6,1,28,1,29,1,28,1,6,3,30,1,6,1,13,2,7,1,6,1,30,1,29,1,30,1,6,1,13,2,6,2,29,2,30,1,6,1,7,1,30,2,28,2,30,2,28,2,29,1,30,1,28,1,30,2,28,3,30,1,28,3,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,6,2,13,1,6,1,13,2,8,1,7,1,8,1,13,1,9,3,8,1,9,1,13,1,11,1,8,1,11,1,8,1,9,1,8,1,13,1,8,1,10,1,17,3,9,1,17,1,9,1,8,2,6,2,7,2,13,2,30,1,13,1,6,5,8,1,6,1,30,1,6,3,30,1,6,3,7,1,6,3,30,1,6,1,28,1,30,1,29,1,30,1,28,1,30,2,6,1,30,1,6,2,9,1,13,1,28,4,30,1,28,3,30,1,9,1,30,1,28,1,30,1,28,1,30,1,28,1,6,2,7,1,28,1,30,1,28,3,30,4,6,1,7,1,13,5,6,1,13,5,9,1,10,2,11,1,16,1,17,4,11,1,12,1,9,1,10,1,11,2,17,1,9,1,12,2,11,1,12,1,9,1,8,1,9,1,13,5,7,1,13,1,6,1,7,3,6,1,30,1,6,1,29,2,6,1,30,1,6,1,30,1,6,3,28,3,30,1,28,1,6,1,28,2,30,3,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,6,28,2,30,1,28,3,30,1,29,1,28,1,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,34,30,1,28,2,30,1,28,1,30,1,28,2,30,2,29,2,6,1,29,1,30,1,13,1,6,1,30,1,13,1,7,1,13,1,6,1,7,1,6,1,13,2,6,1,29,1,6,4,13,1,6,2,28,1,30,2,29,1,28,1,29,1,30,2,29,2,6,1,29,1,6,1,30,1,29,1,6,1,30,4,28,1,30,1,7,1,13,1,28,1,30,2,6,3,30,3,6,1,30,1,6,3,7,2,29,1,6,1,7,1,13,1,6,1,7,1,13,1,6,3,13,1,6,1,29,1,13,1,7,2,13,3,7,2,13,1,6,1,7,1,13,10,8,1,13,4,8,2,9,2,8,2,13,2,8,1,9,1,8,1,9,4,16,1,8,1,16,1,10,1,9,2,11,1,9,3,8,1,9,1,8,1,9,2,13,1,11,1,9,2,13,1,9,1,13,1,9,1,8,1,13,1,9,5,8,1,10,1,13,1,9,1,8,1,9,1,13,1,8,2,9,4,13,1,9,1,11,1,9,1,11,1,16,1,10,1,17,12,16,1,17,3,16,1,11,1,16,1,11,2,17,1,11,3,9,3,8,1,9,1,10,1,9,1,10,1,11,1,9,2,12,1,8,1,9,1,11,1,9,3,13,1,12,1,9,1,11,1,9,5,8,1,10,1,9,2,8,1,11,1,9,1,11,1,9,5,8,2,9,2,8,1,9,1,8,2,9,2,8,1,11,1,9,6,16,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,13,2,9,1,8,1,13,2,28,12,30,1,28,4,30,2,28,6,7,1,28,17,17,2,11,1,9,1,8,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,28,8,30,2,6,1,29,1,6,1,13,3,10,1,11,1,17,2,13,1,28,6,9,1,13,1,6,2,28,41,13,1,6,1,30,1,7,1,28,1,8,1,17,3,13,1,28,3,30,3,6,1,8,1,10,1,17,2,28,7,6,1,28,14,}, {9,1,13,2,6,1,30,1,28,1,30,1,28,2,9,2,30,1,28,52,6,1,13,1,9,1,17,1,30,1,6,2,29,1,30,1,13,1,9,2,13,1,7,1,6,1,13,1,8,1,17,1,10,1,12,1,11,1,12,2,16,1,17,1,16,2,13,1,7,1,6,2,30,2,6,1,11,2,8,1,13,1,8,1,6,3,12,1,17,4,9,1,8,1,13,3,8,1,9,1,11,1,17,3,10,1,8,1,30,1,7,1,8,1,6,1,24,1,8,1,13,1,28,37,7,1,8,2,9,1,8,1,24,1,7,2,13,2,9,1,13,1,17,7,16,1,9,2,6,1,8,1,30,1,6,5,13,1,6,1,13,3,8,1,9,1,8,1,6,1,8,1,10,1,17,1,16,1,14,1,9,1,28,18,6,1,28,2,30,2,28,1,30,1,28,2,30,2,28,3,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,6,1,8,1,10,1,13,1,9,2,13,1,8,1,13,2,8,1,9,3,13,1,8,1,12,1,9,2,8,1,13,2,9,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,13,1,7,1,13,13,6,1,13,4,8,1,13,1,10,1,9,1,10,1,11,1,16,1,17,4,16,2,17,2,16,1,17,21,11,1,8,1,9,1,10,1,8,1,9,3,10,2,8,1,9,1,8,2,13,1,8,1,13,1,9,1,13,1,8,3,7,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,7,1,8,2,13,2,7,1,8,1,13,1,7,2,13,2,7,1,13,1,7,1,8,1,13,2,29,2,13,2,6,1,7,1,6,3,29,1,6,1,7,1,13,1,7,2,6,1,28,1,30,1,7,1,29,2,6,2,13,1,7,1,29,2,6,3,29,1,30,1,28,1,6,1,30,1,29,3,6,2,28,1,29,1,6,1,30,1,28,1,7,1,30,1,6,1,30,2,29,4,30,2,29,1,28,2,30,1,29,1,30,1,28,1,30,1,6,1,29,2,30,1,29,1,30,4,28,1,30,3,28,1,30,2,6,2,7,2,13,5,6,1,13,2,6,1,29,1,13,1,7,1,6,3,30,2,6,1,28,1,30,1,6,1,13,1,6,1,7,2,29,1,6,1,7,1,6,1,29,1,6,1,30,1,6,1,7,1,6,2,30,1,6,2,29,1,6,2,30,1,29,1,6,1,30,3,28,26,30,2,6,1,7,1,28,1,6,1,30,2,29,2,30,2,6,3,9,2,13,2,7,1,6,1,13,1,6,2,7,1,6,2,7,1,29,1,6,3,13,1,8,1,12,2,17,4,12,1,11,1,12,2,8,1,24,1,8,1,9,1,8,1,13,1,9,1,6,1,13,1,7,1,6,1,13,1,7,1,6,1,13,4,7,1,13,2,6,1,8,1,13,1,29,2,7,1,6,2,29,2,30,3,6,1,30,1,6,1,30,1,6,1,30,2,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,7,1,6,3,7,1,30,1,13,2,30,1,7,1,13,1,29,1,6,5,29,1,30,1,6,1,30,1,7,1,6,6,29,1,6,1,30,1,7,1,30,1,29,1,30,1,6,1,7,1,6,3,30,1,6,1,29,1,30,1,6,1,28,1,6,2,30,1,6,2,7,1,6,4,13,1,6,2,29,1,6,2,29,2,6,1,30,1,29,1,6,3,29,2,28,1,6,1,29,1,28,1,30,1,28,1,30,2,28,2,30,2,28,5,30,1,28,1,30,1,28,1,30,2,28,3,30,3,28,1,30,1,6,1,28,1,30,1,29,1,6,1,29,1,30,1,7,1,30,1,6,1,30,1,6,2,29,1,6,1,29,1,6,3,30,1,6,1,30,4,28,1,30,1,28,1,30,4,28,1,6,1,30,7,29,1,30,2,29,1,30,1,6,1,29,1,13,2,9,4,11,1,8,1,13,2,8,1,9,1,11,2,8,3,13,1,9,3,12,1,17,1,11,1,17,1,12,3,17,1,10,1,17,1,12,1,17,1,9,1,12,1,9,1,17,1,12,1,17,2,11,1,10,1,12,1,17,2,11,1,17,1,11,1,17,1,12,1,17,10,12,1,17,1,12,1,17,5,11,1,17,2,12,1,17,3,12,1,17,2,12,1,17,18,12,1,17,1,11,1,12,1,17,2,11,1,9,1,10,1,17,1,10,1,12,2,17,1,12,2,9,1,11,1,9,2,10,1,12,1,9,2,24,2,13,1,12,1,24,1,8,1,9,4,12,1,24,1,8,1,9,1,24,1,13,1,8,1,9,3,13,1,28,2,30,1,28,2,30,1,28,1,30,1,28,4,30,4,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,13,1,28,2,30,2,28,1,30,5,28,1,30,1,6,1,28,1,30,1,6,1,28,2,30,1,6,1,30,2,28,8,30,3,28,1,30,6,28,1,30,6,28,1,30,1,28,1,30,2,6,2,30,3,28,1,30,1,6,1,30,5,28,3,30,1,28,1,6,1,30,1,28,1,6,1,9,1,28,1,30,2,28,1,29,1,28,2,30,3,28,4,30,1,6,1,30,3,28,2,30,1,28,2,30,3,28,1,6,3,13,1,6,1,7,1,9,2,13,1,6,1,30,1,6,1,28,1,30,1,6,1,7,1,6,1,28,1,6,2,13,1,6,1,13,1,6,2,30,2,28,1,6,1,30,2,6,1,30,1,6,1,30,1,29,1,30,2,29,1,6,1,30,1,13,2,6,2,30,1,6,1,29,1,28,1,30,10,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,3,30,3,28,1,29,2,30,2,28,1,30,3,28,1,30,1,28,4,30,1,28,1,30,3,28,5,30,1,28,1,30,4,28,1,30,5,6,1,28,1,29,2,28,1,6,1,30,1,13,2,8,1,6,1,28,1,30,2,28,2,30,6,28,4,30,5,28,3,30,1,28,2,30,1,28,1,6,1,28,1,30,2,28,1,11,1,6,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,4,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,29,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,3,28,1,30,1,28,8,30,1,28,17,30,1,28,15,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,8,30,1,6,2,28,4,6,1,13,1,6,1,30,2,28,3,30,1,28,4,6,1,28,5,30,2,28,1,30,1,28,1,30,1,28,1,29,1,28,3,30,1,28,3,30,2,28,2,30,1,6,1,13,2,30,2,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,13,1,28,3,30,1,28,2,30,1,28,3,30,2,28,26,30,1,28,3,30,1,28,10,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,11,30,1,28,2,6,1,9,1,17,3,9,1,24,1,17,17,11,1,17,1,16,1,17,26,11,2,17,1,11,1,17,1,11,3,12,1,17,1,12,1,17,1,11,1,17,5,12,1,10,1,24,1,8,1,29,1,27,1,29,1,26,1,27,2,26,1,27,1,29,1,28,1,8,1,28,17,13,1,9,1,8,1,9,8,13,1,10,2,9,1,11,2,10,1,11,1,9,2,11,2,12,2,17,2,11,1,10,1,12,1,10,1,9,2,10,1,11,3,17,3,11,1,17,8,11,1,13,1,6,3,30,2,28,1,6,2,30,1,29,1,30,3,6,1,30,1,6,3,30,2,29,1,6,2,28,1,6,1,30,2,28,1,30,3,6,3,30,4,6,1,13,1,30,2,28,1,30,3,28,2,30,3,28,2,30,1,28,3,30,4,6,1,30,4,28,1,30,1,6,2,30,1,7,1,6,3,29,1,13,1,8,2,10,1,9,2,13,1,9,1,8,1,9,2,8,5,13,2,11,1,17,3,9,2,8,3,13,2,6,1,13,1,6,6,28,1,13,1,7,1,30,1,29,1,6,1,30,1,29,1,6,1,29,2,6,1,13,1,6,2,30,1,6,1,28,1,6,2,28,1,29,1,30,2,29,1,30,1,6,1,29,1,13,1,6,1,30,1,6,5,30,1,6,1,7,1,13,1,16,1,29,1,30,4,7,1,28,2,30,1,28,2,30,1,6,1,30,2,6,1,7,1,29,1,6,2,13,1,7,1,6,1,13,5,9,4,11,2,17,5,10,1,12,1,10,1,11,1,10,1,11,1,12,1,9,2,11,4,9,2,13,1,8,1,13,4,7,2,6,4,30,1,6,1,29,2,30,4,6,1,29,1,30,4,29,1,28,1,30,1,28,1,30,1,28,6,30,2,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,56,30,1,29,1,28,1,6,1,30,1,6,2,30,1,6,2,29,1,7,1,13,1,6,1,13,2,7,1,6,3,13,1,6,1,13,1,6,3,30,1,6,1,13,1,6,1,30,1,29,1,6,4,29,1,30,4,6,2,30,3,29,2,30,2,6,1,30,1,6,2,30,3,29,1,28,1,6,3,29,2,30,1,6,3,7,1,6,1,29,1,13,1,6,4,13,1,6,1,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,7,2,13,1,7,1,6,1,7,1,13,1,7,1,13,8,9,1,13,4,9,1,13,3,8,1,9,4,8,1,9,1,8,1,9,3,10,1,8,1,11,2,9,3,10,1,11,1,9,3,8,1,11,1,9,3,8,1,9,3,13,1,10,1,11,1,13,1,9,1,13,2,9,1,13,3,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,8,2,13,1,9,1,8,1,9,1,10,1,11,2,16,1,17,5,16,1,17,2,16,3,17,3,11,1,16,3,17,1,16,1,17,1,16,1,11,1,16,1,11,1,9,1,11,1,9,2,16,1,9,1,11,1,9,1,11,1,9,3,10,1,9,1,8,1,11,1,10,1,9,2,13,1,6,1,8,1,13,1,8,1,9,4,10,1,9,1,11,1,9,1,10,1,9,2,16,1,9,3,8,1,9,1,8,2,9,1,13,1,9,1,8,1,9,2,8,1,9,1,8,2,9,1,11,1,13,1,8,1,10,1,9,1,8,2,9,1,13,1,9,1,8,1,9,5,13,1,8,1,28,18,6,1,28,4,30,1,29,1,6,1,30,1,28,16,17,2,10,1,13,2,6,2,30,1,6,1,28,1,29,1,28,10,29,1,28,2,7,1,13,1,9,1,8,1,11,2,17,1,11,1,13,1,28,5,30,1,13,1,8,1,29,1,28,42,24,1,13,1,30,3,9,1,17,2,11,1,13,1,28,4,6,1,30,1,6,1,8,1,9,1,17,2,6,1,28,6,30,1,29,1,28,1,29,1,28,11,}, {9,1,8,1,6,1,29,1,30,1,28,4,7,1,12,1,6,1,28,53,6,1,10,2,13,2,29,1,6,1,28,1,13,1,11,1,12,1,13,2,7,1,6,1,8,1,17,6,12,1,17,1,11,2,13,1,29,1,6,1,28,1,30,1,6,1,13,1,10,1,17,1,8,1,6,1,13,1,7,1,6,2,10,1,17,3,16,1,11,1,8,1,13,3,9,1,8,1,16,1,17,3,10,1,8,1,6,2,7,1,6,2,24,1,8,1,28,37,7,2,6,1,10,1,16,1,13,1,28,1,13,3,8,2,11,1,17,6,16,1,11,2,13,1,9,1,13,2,7,2,6,1,7,1,30,1,13,1,7,1,13,2,24,1,8,5,11,1,16,1,14,1,11,1,28,19,30,1,28,9,30,1,28,3,30,1,28,3,30,1,29,1,28,2,30,2,29,1,30,1,28,1,30,1,13,2,9,1,10,1,13,1,9,1,13,1,8,2,13,1,9,2,8,2,10,1,9,2,8,1,13,1,8,1,13,1,9,1,13,6,9,3,13,5,30,1,13,3,6,1,13,4,8,1,13,3,8,2,13,1,8,1,9,1,8,1,9,2,17,1,11,1,17,6,16,1,17,22,13,1,11,1,8,1,9,8,8,2,13,1,8,3,13,1,8,1,13,1,8,1,13,5,8,3,13,1,8,1,13,1,7,1,13,2,7,2,13,1,8,1,6,1,13,3,7,1,13,1,6,1,7,1,13,3,6,1,29,1,6,1,30,1,6,2,7,1,29,1,7,1,6,1,30,1,6,1,29,1,6,2,28,1,30,1,6,3,13,1,30,1,6,4,30,1,7,1,29,2,6,1,29,1,6,2,29,1,6,1,30,2,6,1,29,1,30,1,29,1,6,1,28,1,29,1,30,1,28,1,30,1,6,1,29,1,30,4,28,1,30,2,6,1,30,3,6,1,28,1,30,1,28,1,6,1,30,2,28,3,30,1,28,1,30,2,6,1,28,1,6,1,29,2,7,1,6,2,13,2,7,6,30,1,13,1,29,1,6,2,30,1,6,1,30,2,6,1,13,1,8,1,6,2,30,1,6,1,7,2,29,1,6,1,30,1,6,2,7,1,29,1,6,1,29,1,6,1,29,1,6,4,30,1,29,1,30,1,29,1,30,4,28,20,30,1,28,2,30,5,28,1,30,2,29,1,30,1,29,1,6,3,13,1,8,1,13,1,9,1,13,1,7,1,6,1,13,1,7,1,6,8,7,1,13,1,8,1,10,1,17,4,10,1,17,1,12,1,9,1,12,1,9,2,24,1,9,2,8,1,13,1,7,1,13,3,6,1,13,3,6,1,7,1,6,1,13,4,8,1,7,1,6,2,7,1,30,1,6,1,13,1,30,1,29,2,6,1,29,1,30,2,6,1,30,3,6,1,29,1,30,2,29,1,30,1,29,1,30,2,6,2,7,1,6,2,13,2,30,1,13,1,6,1,13,1,29,2,6,1,30,1,6,1,7,1,6,4,29,1,6,1,29,1,6,1,7,1,6,3,29,1,6,2,29,3,7,1,6,1,30,1,6,2,29,2,30,1,29,1,30,2,7,1,6,1,13,1,6,1,30,1,13,1,6,1,30,1,6,2,29,1,6,1,29,3,28,1,30,2,6,1,30,1,6,1,28,1,6,1,30,3,28,1,7,1,6,1,30,1,28,2,30,2,28,13,30,1,28,5,30,1,6,1,28,2,30,1,6,1,30,1,29,1,30,1,13,1,6,1,28,1,6,7,13,1,29,1,30,1,29,1,30,1,28,2,30,1,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,29,1,30,2,29,1,28,1,6,2,9,1,8,1,11,1,9,1,8,1,11,1,13,1,7,1,6,2,30,2,9,1,16,1,10,1,13,2,9,2,8,1,9,1,17,1,11,1,12,1,17,2,12,1,17,1,12,1,11,1,10,2,11,1,12,3,9,1,10,1,12,1,10,2,11,1,17,1,12,1,11,1,17,16,12,1,17,5,11,1,10,1,17,1,11,1,17,3,12,1,17,1,11,1,17,6,12,1,17,6,11,1,10,1,12,1,17,1,10,1,17,5,11,1,12,1,10,1,11,1,10,1,12,1,10,1,12,1,17,1,11,1,12,1,10,1,17,1,10,1,11,1,10,1,24,1,9,1,8,1,9,3,13,1,9,1,8,3,9,2,24,1,8,3,13,1,24,2,13,1,8,3,13,1,6,1,28,2,30,1,28,7,30,3,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,2,6,3,28,1,13,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,13,1,29,1,30,2,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,3,29,1,28,2,30,4,28,1,30,2,28,1,30,1,28,1,6,1,13,1,28,2,6,2,30,3,28,2,30,2,28,1,30,2,28,1,30,4,13,1,6,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,2,29,1,30,2,28,1,30,4,28,1,30,1,28,1,30,1,28,1,6,4,30,1,28,1,6,1,30,1,6,2,7,1,6,1,13,1,6,1,30,1,6,2,30,1,7,2,6,3,30,1,28,1,30,2,28,1,29,1,6,1,30,1,6,1,7,1,6,1,28,1,29,1,6,1,30,2,29,1,30,2,6,1,30,3,6,1,30,1,28,1,30,4,28,1,6,1,30,2,28,1,30,1,28,1,6,2,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,4,30,2,28,4,30,1,28,3,30,2,29,1,30,3,28,1,30,3,28,2,6,2,28,1,6,1,28,1,30,2,13,5,30,1,28,2,30,1,28,2,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,1,9,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,2,30,3,28,2,30,4,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,1,6,1,28,2,7,1,28,4,30,1,28,3,30,1,28,2,30,1,28,11,30,1,28,14,30,1,28,13,30,1,28,18,30,2,6,1,30,1,28,1,30,1,28,1,7,1,30,1,28,1,29,1,28,2,30,1,28,9,30,1,28,1,30,2,28,4,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,1,29,1,6,1,9,1,13,1,28,3,30,3,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,13,1,7,1,30,1,28,1,30,2,28,4,30,2,28,2,30,1,28,5,30,4,28,13,30,1,28,4,30,1,28,4,30,1,28,4,30,2,28,1,30,1,28,6,30,1,28,2,30,2,28,11,30,1,28,6,6,1,17,3,10,1,12,1,10,1,17,18,11,1,17,26,11,2,17,1,11,1,17,1,16,2,17,1,11,1,17,1,11,1,17,1,12,1,17,5,12,1,11,1,12,1,9,1,29,1,27,2,25,1,27,3,25,1,29,2,6,1,30,2,28,15,13,1,9,2,8,1,9,2,8,1,9,3,10,1,9,4,10,1,11,1,12,1,9,2,11,1,9,1,10,1,12,1,9,1,17,1,9,1,12,1,9,2,11,2,9,1,17,1,11,1,17,1,16,1,17,4,11,1,17,8,8,1,6,1,29,1,30,5,28,2,30,2,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,6,1,28,1,6,1,30,2,28,1,30,1,28,1,30,3,28,1,6,1,7,1,30,1,29,1,13,1,28,1,30,1,28,4,30,4,28,1,30,1,29,1,28,1,29,1,30,1,28,4,30,4,28,1,30,1,6,1,30,1,6,1,30,3,6,2,7,1,13,1,6,2,8,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,17,3,11,1,9,1,8,1,9,2,13,5,6,1,30,3,7,1,30,1,8,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,6,7,30,3,6,1,30,1,6,1,30,1,6,1,29,1,6,1,13,1,30,2,6,1,7,1,6,1,7,1,13,3,6,1,13,2,9,2,13,1,6,1,30,1,6,1,30,1,6,2,30,1,6,3,30,1,6,2,30,1,6,1,7,1,6,1,7,1,13,4,9,1,13,3,9,1,8,1,9,2,12,1,11,1,9,1,17,3,12,1,17,1,9,2,11,1,12,1,9,1,11,1,12,1,10,1,9,1,11,1,10,1,9,1,8,1,9,1,8,1,13,2,7,1,13,2,29,1,6,1,30,1,13,1,6,2,30,1,29,1,30,1,29,1,28,1,30,7,6,1,28,2,30,6,28,1,30,3,28,2,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,4,30,3,28,3,30,2,28,1,30,1,28,2,29,1,28,6,30,1,28,6,30,1,28,26,30,1,28,1,30,1,6,1,30,2,6,5,30,1,6,2,13,6,30,1,13,2,6,4,13,1,30,1,13,2,30,1,13,1,30,1,29,1,6,1,7,1,13,1,30,2,6,1,30,1,6,1,29,2,30,1,6,1,30,7,29,1,6,2,28,1,29,1,30,3,6,1,30,3,6,1,29,1,30,1,6,1,29,1,6,2,7,1,29,1,6,1,13,1,6,1,7,1,6,1,13,1,30,2,6,1,13,3,6,2,13,5,6,1,13,1,6,1,13,6,7,1,8,1,13,14,8,1,13,5,9,4,8,1,11,1,12,1,11,2,16,1,13,1,11,1,8,1,9,3,8,1,9,1,8,1,9,4,8,1,9,5,8,2,9,1,8,2,9,3,13,2,9,1,8,1,9,2,8,2,9,1,8,1,9,1,13,1,8,1,9,4,11,1,16,1,17,1,16,1,17,9,16,1,17,1,11,1,17,1,16,2,17,1,16,1,11,4,9,1,11,1,16,1,17,1,16,1,11,2,8,1,13,1,9,4,8,1,11,1,13,1,9,1,12,1,8,2,9,2,13,1,9,7,10,1,8,2,16,1,8,1,9,1,16,1,9,1,11,1,10,2,12,1,9,1,12,1,9,1,13,1,9,2,8,1,11,2,9,2,10,1,13,1,9,1,13,1,9,4,13,3,8,1,13,1,8,1,9,2,11,1,9,2,28,12,30,1,28,3,30,4,28,5,13,1,29,1,28,16,17,2,13,3,28,1,6,1,30,3,28,12,6,1,7,2,6,1,8,2,11,2,17,2,28,7,9,1,8,1,29,1,28,42,9,1,6,2,30,1,28,1,9,1,17,2,11,1,7,1,28,2,30,2,6,1,28,1,7,1,9,1,10,1,17,2,28,7,6,1,28,14,}, {13,1,6,1,13,1,28,1,6,1,28,2,30,1,28,1,13,1,17,1,29,1,28,53,6,1,8,1,9,1,13,1,29,1,6,1,30,1,28,1,13,1,17,1,9,1,13,1,6,1,13,1,8,1,13,1,12,1,17,1,12,1,17,3,12,1,10,1,17,1,9,2,29,2,6,1,30,2,6,1,9,1,17,1,8,1,13,1,8,1,7,1,13,1,6,1,17,4,11,1,16,1,9,1,8,1,13,2,9,2,11,1,17,1,16,1,17,1,8,1,13,1,8,1,13,2,6,1,13,2,9,1,28,36,30,1,29,1,6,1,13,1,8,1,12,1,13,1,30,2,13,1,24,1,13,2,17,7,16,3,9,1,8,3,6,1,13,1,30,1,6,1,13,2,7,2,8,1,7,2,8,1,13,1,8,2,16,1,17,2,16,1,28,18,30,1,28,2,30,6,28,1,30,1,28,2,30,3,28,2,30,2,28,1,30,3,28,2,7,1,28,2,7,1,13,1,8,1,9,2,8,2,9,2,8,3,9,2,10,1,8,2,11,1,13,2,9,3,8,1,13,3,9,1,8,1,13,2,8,1,13,5,6,1,13,6,8,1,13,3,8,2,13,1,8,2,9,1,10,1,9,1,10,2,17,1,11,1,17,1,12,1,17,1,16,1,11,1,17,1,16,1,17,22,12,2,9,1,10,1,9,2,11,1,9,3,13,1,9,2,13,1,9,1,8,1,13,1,8,1,13,2,9,1,7,1,8,1,13,6,8,1,7,1,6,1,13,1,6,1,13,2,8,2,13,3,7,1,13,1,7,1,13,2,7,2,6,1,13,1,6,1,13,1,30,1,7,3,28,1,29,2,6,5,29,1,7,1,30,1,7,2,6,2,29,1,6,1,28,1,7,1,28,1,30,4,29,2,6,1,28,1,7,1,28,1,6,1,30,1,28,1,6,1,30,1,6,1,29,2,28,1,6,3,28,1,30,4,28,1,30,1,28,1,30,4,29,1,6,1,30,1,28,1,30,2,28,3,30,1,28,1,29,1,28,1,30,1,28,1,30,2,29,1,6,1,30,1,7,1,6,2,13,1,6,1,7,1,8,1,7,1,13,1,7,1,29,1,13,1,7,1,30,1,29,1,30,3,28,1,30,1,6,1,13,1,29,1,30,1,7,1,6,2,29,1,7,1,29,1,6,1,29,1,6,1,13,1,6,2,29,1,6,2,30,1,29,1,6,1,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,14,30,5,28,4,30,3,6,1,30,1,6,1,7,1,6,1,8,3,13,2,6,4,7,1,6,1,29,1,6,2,29,1,6,2,29,1,13,1,9,1,12,2,17,3,12,2,9,3,13,1,24,1,8,3,13,2,6,1,7,1,13,3,7,1,24,1,29,1,6,2,13,1,6,1,7,1,8,2,30,1,6,1,7,1,6,1,7,1,30,1,13,1,6,1,29,1,6,2,30,1,6,2,30,3,29,1,30,2,29,1,6,1,30,1,6,4,30,2,6,1,7,1,13,1,7,1,13,1,8,1,13,1,30,1,13,1,6,3,30,2,7,1,6,3,30,3,7,1,30,2,6,1,7,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,29,2,30,1,6,2,30,1,7,1,29,3,30,1,6,1,29,1,6,4,30,2,7,1,29,1,30,3,28,1,29,1,30,1,29,2,6,3,29,3,6,1,29,2,30,1,28,1,30,2,29,1,28,1,30,1,28,11,30,1,28,5,30,1,28,1,30,2,6,2,30,1,7,1,30,4,6,4,7,1,6,3,30,3,6,1,29,1,28,1,6,3,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,2,30,6,29,1,13,1,6,1,13,1,8,2,9,1,10,1,9,2,13,1,30,1,6,2,30,3,13,1,12,1,17,1,9,1,13,1,8,1,9,1,13,1,9,1,12,1,11,2,17,1,11,1,10,1,11,1,17,1,11,1,12,1,11,1,12,1,10,1,11,1,12,1,17,1,11,1,12,1,10,1,11,1,17,1,10,2,11,1,17,13,12,1,17,3,12,1,17,3,12,1,10,1,11,1,17,19,11,1,17,3,11,1,17,1,11,1,17,1,11,1,17,6,12,1,11,1,12,1,9,1,17,3,11,1,12,2,9,2,10,1,9,1,11,1,10,1,24,2,9,1,24,1,8,1,24,2,8,1,24,1,8,1,9,1,24,1,8,4,13,3,9,2,28,11,30,2,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,1,6,2,30,2,6,1,28,2,30,3,28,1,30,1,28,1,30,2,28,5,30,1,6,1,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,4,30,7,28,2,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,13,1,6,2,30,1,28,1,30,4,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,13,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,2,30,5,28,1,30,5,6,1,30,1,6,4,30,1,29,2,28,1,30,1,6,1,13,1,28,1,30,1,6,1,30,1,6,3,29,1,6,1,30,6,29,1,6,1,30,3,6,1,30,4,29,1,30,1,6,3,30,1,29,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,28,2,29,1,28,2,6,1,29,1,6,1,30,1,6,1,28,2,6,1,28,2,29,1,28,1,6,1,28,1,30,2,6,1,30,1,28,1,30,4,28,1,30,4,6,1,30,2,6,1,30,2,28,1,30,1,6,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,2,28,2,30,2,13,1,8,1,13,1,30,1,6,1,30,1,28,1,30,1,28,3,6,1,28,2,30,1,28,1,30,1,28,3,30,1,29,1,28,3,30,1,28,2,6,1,30,3,28,5,6,1,13,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,5,30,4,28,2,30,2,28,5,6,1,28,2,30,2,28,1,30,1,28,3,30,1,6,1,30,11,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,13,30,1,28,4,30,1,28,10,30,1,28,6,30,1,28,6,30,1,28,11,30,1,28,2,30,1,28,2,7,1,6,1,28,9,30,1,28,5,30,2,28,4,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,4,6,1,30,1,29,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,13,1,8,1,28,2,30,3,28,1,30,3,28,1,30,1,28,4,30,1,28,2,30,1,28,6,30,1,28,3,30,1,28,11,30,1,28,4,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,2,6,1,30,1,28,3,30,1,28,11,30,1,28,2,30,1,28,4,7,1,11,1,10,1,17,2,24,1,12,1,17,46,16,1,17,4,11,1,17,2,10,1,17,1,11,1,17,7,12,2,24,1,26,1,30,1,27,2,26,1,29,2,27,1,29,4,30,1,28,15,13,2,8,1,13,1,10,1,9,9,11,2,12,1,10,1,11,2,10,1,11,3,9,1,11,3,12,1,9,1,10,1,11,1,9,1,11,2,9,1,17,3,16,1,17,1,11,2,17,7,11,1,13,1,28,1,6,1,28,1,6,1,29,2,28,1,30,2,29,1,28,1,30,1,28,2,30,1,6,1,28,1,30,8,28,1,30,1,6,1,29,1,28,2,30,1,29,1,30,1,6,2,7,1,30,1,28,1,30,1,29,1,30,4,28,2,30,3,28,1,30,1,28,1,30,2,28,3,30,2,28,1,30,2,28,1,29,1,28,1,29,1,30,1,29,1,30,2,29,3,7,1,6,1,13,2,8,2,13,1,9,1,10,1,9,1,8,1,9,1,8,4,13,3,8,1,10,1,17,2,11,1,10,1,8,4,13,2,8,1,6,3,7,1,6,3,8,1,30,1,29,1,7,1,28,1,6,1,30,2,6,5,29,1,6,1,28,1,30,2,6,1,30,1,6,1,28,1,30,1,28,1,6,2,30,2,7,1,13,2,7,1,13,1,7,1,13,4,9,1,8,1,6,1,13,1,6,2,7,1,6,2,13,1,6,1,30,1,6,1,29,1,6,2,13,2,6,1,13,2,6,1,13,1,6,1,13,5,9,2,11,1,9,1,12,2,11,2,12,1,17,1,12,2,11,2,9,1,10,1,11,1,9,1,10,1,9,1,10,1,9,5,13,1,8,1,6,1,13,1,29,1,6,3,30,2,6,2,30,1,6,1,28,1,30,1,29,1,30,1,6,1,30,2,6,1,29,1,30,1,29,1,30,2,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,30,1,28,1,30,2,28,1,29,1,28,2,6,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,2,28,2,30,1,28,9,30,1,28,1,30,1,28,22,30,1,28,4,30,2,6,2,30,1,6,1,29,1,6,2,7,1,6,1,13,3,6,1,13,2,7,1,13,1,6,1,7,1,6,1,13,4,6,1,9,2,13,1,6,1,30,2,7,1,6,3,13,2,30,2,7,1,30,1,6,2,29,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,7,1,29,1,30,3,6,1,30,1,28,1,6,2,29,1,30,1,28,1,6,3,30,1,7,1,6,2,30,1,13,1,30,1,6,2,29,1,13,1,6,2,13,1,6,1,7,1,13,1,6,1,8,1,29,2,6,2,13,4,6,1,13,1,6,1,13,2,6,1,13,3,9,1,6,1,13,9,8,2,13,3,8,1,13,2,9,1,13,1,9,1,10,1,16,1,10,1,9,1,11,1,9,2,8,1,9,1,10,1,9,4,11,1,8,2,13,1,11,1,9,1,13,2,9,1,8,1,13,1,9,1,10,1,8,1,9,1,8,1,13,3,9,1,8,1,9,2,8,2,9,1,13,1,8,1,13,1,9,1,8,4,9,2,16,1,11,1,9,1,16,2,17,5,16,2,17,3,16,1,17,4,16,4,11,1,16,6,9,5,8,1,9,1,10,1,9,1,13,1,8,1,9,3,12,1,9,1,11,1,8,1,9,1,10,1,9,6,8,2,9,3,13,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,12,1,11,1,9,1,11,1,9,1,8,1,11,1,9,1,10,2,12,1,11,1,8,1,13,1,9,5,13,1,11,1,9,2,10,1,9,1,6,1,30,1,28,1,30,1,28,11,30,1,28,1,30,1,28,3,30,1,28,4,6,1,28,17,17,2,9,1,13,1,9,1,28,1,29,1,30,1,28,12,30,1,6,1,28,1,6,2,8,2,10,1,9,1,16,1,17,1,11,1,29,1,28,5,6,1,9,1,13,1,30,1,28,41,30,1,6,2,28,1,6,1,28,1,9,1,17,2,9,1,13,1,28,3,30,2,29,1,7,1,8,1,11,1,17,2,28,7,6,1,28,14,}, {9,1,13,3,28,2,30,1,28,2,13,1,14,1,6,1,28,52,30,1,7,1,9,2,13,1,7,1,6,2,29,1,8,2,9,1,8,1,13,2,7,1,9,1,12,1,17,2,12,1,17,4,9,3,7,1,28,1,30,1,29,1,30,1,6,1,8,1,12,1,9,1,7,1,13,1,8,1,7,1,13,1,17,5,16,1,9,1,13,2,8,1,9,1,8,1,11,1,17,4,9,1,6,2,13,4,24,1,30,1,28,37,13,1,8,1,9,1,12,1,13,2,29,1,6,1,8,1,10,1,8,1,17,9,11,1,9,2,8,1,13,1,7,1,29,1,6,1,29,1,6,1,24,1,13,1,24,1,13,1,7,2,8,1,24,1,8,1,10,1,16,1,17,2,16,1,28,18,30,3,28,2,30,5,28,6,30,2,28,1,30,2,29,1,28,2,30,4,28,1,6,1,9,2,10,1,13,1,8,1,9,1,13,1,8,1,13,1,9,4,11,2,13,1,9,1,10,1,13,1,9,1,8,1,13,2,9,3,13,1,9,1,13,1,8,1,9,1,13,1,8,2,13,3,6,1,13,6,9,1,8,2,13,1,9,1,13,2,9,1,8,1,13,1,11,1,9,1,17,1,11,2,12,1,17,1,9,1,17,2,12,1,17,26,10,1,12,1,8,1,9,1,11,1,9,2,10,1,9,2,8,1,13,2,9,1,13,1,9,1,13,1,8,1,13,2,8,1,13,3,9,1,13,2,8,1,13,3,6,1,13,1,6,3,13,1,7,2,13,2,6,1,13,2,7,2,13,1,6,1,7,1,29,1,6,2,7,1,6,1,7,1,6,1,29,2,6,5,28,1,6,1,13,1,7,1,30,1,7,1,28,1,6,1,30,3,6,2,29,1,30,1,6,1,30,1,29,2,30,2,6,1,30,1,28,1,29,1,30,1,29,1,6,1,7,1,30,6,28,1,30,2,29,1,30,2,28,1,30,2,6,1,30,3,28,2,30,1,28,1,30,1,28,4,29,1,28,3,30,1,6,2,7,1,6,1,7,1,13,2,7,1,13,1,6,1,13,1,6,1,8,1,7,1,6,1,28,1,30,1,29,1,30,1,6,1,30,2,13,1,29,2,30,4,6,2,30,1,29,1,6,1,30,2,6,1,13,1,30,1,6,2,30,1,29,1,6,1,7,1,29,1,28,1,30,2,28,1,30,2,28,2,30,2,28,10,30,1,28,1,30,1,28,5,6,2,28,4,30,1,28,1,30,3,6,4,30,1,8,4,13,1,7,1,13,2,6,1,7,1,6,1,30,1,6,1,29,1,6,1,29,1,6,3,8,3,17,3,11,1,17,1,12,1,11,1,12,1,9,3,13,1,24,1,9,1,8,1,13,2,6,1,7,4,13,2,6,1,13,1,7,1,13,3,6,1,13,2,7,1,6,3,29,1,6,2,29,2,6,1,29,3,30,2,28,1,6,1,30,1,29,2,6,1,29,1,13,1,29,2,30,1,6,2,13,1,6,3,30,1,29,1,6,1,30,1,7,1,13,1,29,1,6,1,7,1,30,1,7,1,29,1,7,1,6,1,13,1,6,3,29,1,6,1,29,2,6,3,28,1,30,1,29,1,30,1,6,3,30,1,6,1,30,2,6,1,30,1,6,3,13,1,6,1,28,1,6,1,30,1,6,1,28,1,30,4,6,1,13,1,7,1,6,1,28,1,29,1,6,2,7,1,6,2,30,2,28,1,30,1,29,1,30,2,28,1,29,1,30,1,28,2,30,1,28,4,30,1,28,6,30,2,28,3,30,5,6,1,30,2,6,2,7,1,6,2,30,1,6,1,29,2,7,1,30,3,29,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,5,30,1,28,1,29,2,30,1,6,2,13,1,9,1,8,1,9,1,13,1,9,1,8,1,7,1,6,1,30,1,29,1,30,1,6,1,28,2,30,1,6,1,11,1,17,1,9,2,8,1,9,2,12,2,9,1,12,2,11,1,12,1,17,1,11,2,10,1,12,1,11,1,17,1,12,1,9,1,12,2,17,1,10,1,17,1,11,1,17,2,12,1,17,1,11,1,17,16,11,1,17,3,11,1,17,2,11,1,10,1,11,1,17,18,11,1,17,8,12,1,17,2,11,1,17,3,11,2,17,1,12,2,9,3,8,1,9,1,10,1,9,2,24,1,8,1,9,2,10,1,8,2,24,1,13,1,8,2,9,1,8,1,24,1,13,3,10,1,9,1,28,12,30,2,28,2,30,1,28,2,30,1,28,2,30,1,6,1,30,1,13,1,30,2,28,1,30,2,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,1,13,1,30,2,28,1,30,3,28,2,6,1,28,5,30,1,28,6,30,2,28,1,30,2,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,13,1,6,1,30,3,28,1,30,5,28,1,29,1,28,2,30,2,28,1,29,2,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,6,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,2,6,1,30,3,6,1,28,2,30,8,29,1,28,1,30,1,6,1,29,2,30,2,6,2,30,1,28,1,29,1,28,1,30,1,6,1,30,1,6,2,30,3,6,2,30,4,6,3,30,2,6,1,28,3,30,2,6,1,30,2,6,1,30,1,6,1,30,1,28,1,30,3,28,1,30,1,6,2,30,1,6,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,5,29,1,30,2,28,3,30,1,28,1,30,4,28,1,30,3,28,1,6,1,28,1,30,1,6,2,30,1,29,1,30,1,13,1,9,1,6,1,30,1,6,1,30,1,28,1,30,3,28,1,30,2,28,1,30,2,28,1,29,1,30,5,6,1,30,3,28,1,30,4,28,4,30,1,7,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,3,30,2,28,2,30,3,29,1,28,2,30,2,28,1,6,1,28,2,30,1,28,2,30,2,28,2,6,1,30,2,28,1,6,1,28,1,30,2,28,1,30,2,28,4,30,1,28,1,30,1,28,16,30,2,28,15,30,1,28,16,30,1,28,6,30,2,28,4,30,1,28,1,30,1,6,1,30,1,28,13,30,2,28,4,30,1,28,7,30,5,28,3,30,1,6,1,30,1,6,1,28,2,30,1,6,1,28,1,30,4,28,1,6,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,9,1,30,1,28,3,30,1,28,3,30,2,28,8,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,18,30,1,28,2,30,1,28,9,6,1,30,1,28,1,30,1,28,5,30,2,28,10,8,1,9,1,17,2,24,1,12,1,17,33,11,1,17,19,16,1,12,1,9,1,12,1,17,6,11,2,9,1,10,1,6,1,29,1,26,1,29,1,27,2,29,1,27,1,29,1,30,1,6,1,29,1,30,1,29,1,28,14,13,1,9,2,8,1,9,1,11,1,9,2,8,1,9,4,10,1,9,1,11,1,12,1,11,2,10,1,11,1,10,1,9,1,11,2,9,1,11,1,9,2,11,2,10,1,9,1,11,2,17,1,11,2,17,4,9,1,11,2,17,3,12,1,16,2,9,1,6,2,28,1,30,1,6,1,28,1,30,1,28,2,29,1,30,2,6,1,30,1,6,1,30,2,28,1,6,1,28,1,30,3,29,1,6,2,30,2,6,1,30,4,28,1,29,1,30,1,13,1,28,1,30,5,28,2,30,4,28,1,6,1,28,4,6,2,28,1,6,1,28,6,30,3,28,2,29,1,30,2,13,1,7,1,6,1,13,3,8,2,9,1,13,2,8,1,9,1,8,4,9,2,8,1,9,1,13,1,12,1,17,2,11,1,9,2,13,1,8,2,13,2,6,1,13,1,30,2,6,5,29,1,30,3,6,1,30,1,6,2,7,1,6,1,29,2,6,1,30,2,6,2,30,1,28,2,30,5,6,1,13,1,9,1,13,1,9,1,8,1,6,1,13,1,8,1,13,7,7,1,13,1,6,1,13,2,7,2,6,1,13,2,6,1,7,1,6,2,13,3,8,1,6,1,13,3,11,1,9,2,11,1,9,1,11,2,9,1,17,2,12,2,9,3,11,1,9,1,11,2,12,1,9,2,10,1,9,1,8,1,13,2,8,1,6,1,13,2,6,4,29,1,6,1,29,1,6,2,29,2,30,1,6,1,30,4,29,1,28,1,13,1,30,2,6,1,28,1,30,2,6,1,28,1,30,3,28,1,30,2,28,1,30,3,28,2,30,2,28,7,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,8,30,1,28,16,30,1,28,18,30,2,6,1,13,1,30,1,29,2,6,2,13,1,7,1,13,2,7,1,6,1,8,1,7,1,13,9,8,1,13,2,7,1,13,1,6,1,13,2,6,2,13,1,6,3,7,1,29,1,13,1,30,1,6,4,29,3,6,1,30,1,13,1,6,1,28,1,30,1,29,1,28,1,30,1,6,1,30,1,6,1,29,1,7,1,29,1,28,1,29,1,30,1,29,3,30,1,29,1,6,2,7,1,29,1,6,2,7,1,30,1,6,1,29,1,6,2,7,1,6,2,7,2,13,1,7,1,13,1,6,1,13,3,6,1,13,1,6,2,8,1,13,2,8,1,6,2,13,1,6,2,13,1,7,1,13,1,6,1,13,4,8,1,13,1,9,1,13,1,8,1,9,9,10,1,9,1,16,1,13,1,10,1,8,1,13,1,8,4,11,1,13,1,8,1,9,2,8,1,9,1,13,1,8,2,9,6,11,1,13,1,9,1,13,1,9,2,8,3,9,2,13,1,8,2,9,2,11,1,9,3,11,1,9,1,11,1,16,1,17,3,11,1,16,1,17,3,16,1,17,5,11,1,17,3,11,1,17,3,16,1,17,1,11,1,16,2,10,1,11,1,9,1,11,1,9,2,12,1,13,1,11,1,9,2,11,1,8,1,9,1,11,1,9,1,8,1,9,1,8,1,9,4,8,1,11,1,9,4,10,1,8,1,11,1,9,3,11,1,8,1,9,1,11,1,10,1,9,1,11,3,16,1,9,1,11,2,9,1,12,2,9,2,8,1,11,1,13,2,8,2,9,2,8,1,9,1,13,1,30,1,28,1,30,2,28,9,30,2,28,1,30,2,6,1,28,5,30,1,6,1,28,17,17,2,10,1,11,1,7,1,13,1,7,1,6,1,28,1,30,1,28,1,30,1,28,9,30,1,6,1,7,1,6,1,8,1,9,2,8,1,11,1,17,2,28,6,13,3,6,1,28,42,30,1,13,1,30,1,6,1,28,1,12,1,17,2,16,1,13,1,28,3,6,1,29,1,6,1,28,1,10,1,11,1,17,1,8,1,28,7,29,1,28,14,}, {9,1,8,1,13,1,7,1,28,1,30,1,28,2,30,1,6,1,10,1,6,1,28,33,30,1,28,12,29,1,28,4,29,1,30,1,9,1,24,1,9,1,8,1,6,2,30,1,28,1,30,1,9,1,10,1,13,1,8,1,6,2,9,1,11,1,16,1,17,1,12,1,17,1,10,1,17,2,11,1,10,1,9,1,30,1,6,1,28,1,29,1,30,1,29,1,11,1,9,2,13,3,7,1,6,1,17,5,11,1,9,2,8,2,9,3,17,4,8,1,30,1,6,1,13,5,6,1,28,36,29,1,6,2,9,1,17,1,8,1,29,1,6,1,29,1,6,2,9,2,17,6,16,2,11,1,9,1,8,2,13,3,6,2,13,2,24,1,7,1,8,1,13,3,9,1,8,2,16,1,17,1,16,1,11,1,30,1,28,17,30,4,29,1,30,2,28,2,30,1,28,4,30,1,28,2,30,1,28,2,30,3,6,1,28,1,30,2,28,2,7,1,13,1,8,1,9,2,8,1,13,1,9,1,8,1,6,1,8,2,9,2,11,1,9,1,10,1,8,2,13,2,8,1,9,1,8,1,9,1,8,1,6,1,8,1,13,1,9,1,11,1,13,1,9,3,13,2,8,2,6,1,13,2,8,2,13,1,8,1,13,1,8,1,9,1,13,3,9,1,13,1,9,1,11,1,8,1,10,1,9,1,10,2,16,1,11,1,12,1,17,4,16,1,17,24,16,1,17,1,9,1,11,1,8,1,9,3,8,1,9,1,8,1,9,1,8,1,13,2,8,3,7,1,13,1,8,1,13,2,24,1,13,4,7,1,13,3,9,1,7,1,8,1,13,1,29,1,6,1,7,1,13,2,6,1,13,2,6,3,7,2,6,2,7,1,6,1,30,1,6,2,29,1,6,2,29,2,28,1,13,3,6,1,7,1,6,2,29,1,30,1,6,1,30,2,6,1,29,1,30,1,6,1,29,3,6,1,29,1,28,1,29,1,28,1,7,1,28,1,6,2,30,3,29,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,3,28,2,29,1,28,1,30,3,28,2,29,1,28,1,30,1,28,5,30,1,28,1,6,1,7,1,6,1,13,1,7,1,13,2,7,1,13,1,29,1,13,1,6,2,7,1,6,1,7,1,29,2,30,2,6,2,13,1,6,1,30,1,29,1,30,1,6,1,30,2,6,1,30,2,6,3,29,1,6,2,30,2,6,1,29,1,6,1,29,2,30,4,28,4,30,3,28,1,30,2,28,8,30,1,28,4,30,2,28,8,30,4,6,1,29,1,7,1,13,1,8,1,9,1,8,1,13,1,6,1,13,1,6,1,7,2,6,4,30,1,6,1,30,1,7,1,6,1,7,1,9,1,10,1,12,1,17,4,9,1,11,1,10,1,8,2,9,1,8,1,13,4,6,1,13,3,8,1,6,1,13,1,6,1,13,4,8,1,13,1,8,1,7,1,6,2,29,1,6,3,7,1,6,1,7,1,29,1,30,1,6,1,30,2,6,2,30,1,6,2,28,1,6,1,30,1,7,1,30,1,6,1,7,1,30,1,6,2,8,1,7,1,30,1,7,2,6,5,7,2,30,2,6,2,7,1,30,1,6,2,30,1,6,2,7,1,30,1,7,1,6,1,7,1,13,1,30,1,7,1,6,2,29,1,30,1,6,1,28,1,6,2,29,1,6,1,29,1,6,1,28,2,7,1,13,1,6,1,30,2,6,2,30,2,29,1,30,1,6,1,28,1,29,1,30,1,28,1,30,1,29,1,6,1,30,2,6,1,29,1,30,3,29,2,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,3,30,3,28,1,30,3,28,2,30,3,6,1,30,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,30,3,28,1,30,3,28,2,30,5,28,2,30,1,28,9,29,1,30,2,6,3,8,2,13,2,9,1,13,2,6,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,6,2,9,1,16,1,11,1,8,3,9,1,11,1,9,4,10,2,12,1,17,4,24,1,9,1,12,1,9,1,10,3,9,1,11,1,12,1,17,1,11,1,17,1,12,1,17,20,12,1,17,2,12,3,17,19,12,1,17,3,12,1,17,1,12,1,17,2,11,1,17,1,12,1,17,1,12,2,17,1,12,1,9,2,12,1,11,1,10,1,9,1,10,2,8,1,9,1,8,1,13,2,9,2,24,3,13,1,24,1,8,1,13,2,8,4,9,1,12,1,6,1,28,12,30,1,28,1,30,2,6,1,30,2,28,1,30,3,28,1,6,1,13,1,6,1,28,1,30,1,28,2,30,5,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,5,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,13,2,6,1,28,1,6,1,30,3,28,2,6,1,28,2,6,1,30,2,28,1,30,3,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,13,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,4,28,3,30,1,28,2,6,1,30,2,13,2,30,3,6,1,28,3,30,4,29,1,6,2,30,2,6,2,29,1,30,1,29,1,6,2,30,1,28,1,30,2,6,2,30,1,6,1,28,1,30,1,6,1,30,3,28,1,30,1,6,2,13,1,6,1,28,1,30,2,29,1,30,4,6,1,28,1,30,1,28,1,30,1,28,1,6,1,30,5,28,2,30,1,28,3,30,5,28,3,30,1,29,1,28,1,6,1,30,3,28,1,30,2,28,1,30,3,28,1,6,2,30,1,28,1,9,1,13,1,30,1,6,1,30,1,28,1,30,2,28,4,30,2,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,3,30,1,28,8,30,1,7,1,6,1,30,1,28,6,30,1,28,1,30,2,28,1,30,4,28,2,30,1,6,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,4,6,1,30,1,29,1,30,4,28,1,6,1,30,3,28,5,30,1,28,3,30,1,28,22,30,2,28,25,30,1,28,1,30,1,28,4,30,2,13,1,30,1,28,1,30,1,28,4,30,2,28,1,30,1,28,1,30,1,28,10,30,2,28,6,30,1,28,3,6,1,30,3,28,1,6,1,30,5,28,2,30,2,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,13,1,8,1,30,1,6,2,30,2,28,4,30,1,28,1,30,2,28,3,30,2,28,8,30,2,28,13,30,1,28,1,30,1,28,8,30,1,28,3,29,1,30,2,6,1,7,1,13,3,28,1,30,1,28,1,30,1,28,7,30,1,28,5,30,1,28,2,7,1,9,1,17,2,12,1,10,1,9,1,17,51,11,3,10,1,11,1,17,5,12,1,17,1,12,1,11,1,9,1,8,1,27,1,26,1,29,1,27,1,25,1,29,1,27,1,29,1,27,1,6,2,29,1,30,1,28,14,13,2,11,1,9,1,8,1,9,4,10,1,9,1,10,1,8,1,9,2,17,1,10,1,9,1,11,1,17,1,10,2,11,2,9,1,12,1,10,1,9,1,11,1,9,3,11,1,9,1,10,1,17,5,12,1,16,1,11,1,16,3,17,4,11,2,13,1,30,1,6,1,30,2,6,1,29,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,5,28,1,6,1,30,1,28,1,30,2,28,1,30,1,29,1,28,1,30,1,13,1,28,3,30,1,29,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,2,6,1,28,1,30,1,28,1,30,3,29,1,6,1,30,1,6,1,29,1,28,1,6,5,13,6,8,3,9,4,13,1,8,1,13,1,8,3,11,1,17,3,11,1,9,1,13,1,9,1,8,1,9,1,13,1,7,1,29,1,6,1,29,1,6,2,7,1,13,1,6,1,30,2,29,1,30,1,28,1,30,1,6,3,30,3,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,3,7,1,29,1,30,1,6,1,13,2,8,1,13,1,6,1,9,1,8,1,13,13,6,1,30,1,6,1,13,1,7,1,6,1,13,4,6,1,13,5,9,1,13,1,11,1,9,1,16,1,11,2,17,1,11,1,12,1,11,1,17,1,11,2,10,1,9,1,11,1,9,1,10,1,12,1,9,1,11,2,9,3,8,1,13,1,8,1,13,3,6,1,7,1,6,2,29,1,6,1,7,1,30,1,29,1,30,2,29,3,30,3,6,3,30,2,6,1,30,3,6,1,28,1,30,3,28,1,30,1,28,5,30,1,28,3,30,1,28,4,30,2,6,1,30,1,28,16,30,1,28,1,30,1,28,15,30,1,28,8,30,1,28,8,30,1,6,1,30,1,29,1,6,1,30,1,6,2,7,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,13,2,9,1,6,1,7,1,13,2,8,1,9,1,8,1,13,6,6,2,13,2,6,1,13,1,7,1,29,1,6,2,13,1,6,1,30,1,6,3,30,1,6,3,13,1,30,2,28,1,30,1,28,2,30,4,6,1,30,3,6,1,30,1,29,1,6,2,30,2,6,5,30,1,6,3,13,1,29,1,7,2,6,1,7,1,13,1,6,2,7,1,30,1,6,1,7,1,13,1,6,4,13,1,7,1,13,3,8,1,6,2,13,1,6,1,13,1,7,1,13,2,6,1,13,6,8,1,13,1,8,1,13,1,9,2,13,1,8,1,9,1,13,1,9,3,10,1,9,3,8,1,9,3,8,1,9,3,8,2,10,1,13,1,9,1,13,1,9,1,13,2,8,2,9,2,8,1,13,1,9,1,8,1,9,1,13,1,9,2,10,1,9,1,7,1,9,2,13,1,9,4,11,1,13,1,11,1,16,1,17,1,16,1,17,10,16,1,17,5,11,1,17,1,11,1,16,1,17,2,16,3,9,1,16,1,11,2,17,1,9,2,12,1,10,2,8,1,11,1,8,1,10,1,9,6,16,1,9,2,11,1,9,1,11,1,12,1,11,1,9,2,11,1,16,1,9,3,8,1,10,1,8,1,9,3,8,2,11,1,9,2,16,1,11,2,9,1,11,1,8,1,9,4,10,1,13,1,9,1,10,1,8,1,9,2,13,2,6,2,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,4,30,3,13,1,28,16,30,1,17,2,11,1,13,2,6,1,29,3,28,12,6,2,29,1,30,1,8,1,9,2,8,1,11,1,17,2,28,6,13,1,9,1,7,1,28,43,13,1,30,1,6,1,28,2,9,1,17,3,8,1,28,3,30,1,29,1,6,1,28,1,17,1,10,1,17,1,8,1,28,22,}, {13,1,16,1,13,2,28,1,30,1,28,1,30,1,28,1,13,1,9,1,6,1,28,52,30,1,6,1,10,1,17,1,9,1,13,1,30,1,29,2,6,1,11,1,10,1,8,1,6,2,7,1,9,1,12,2,17,2,16,1,17,2,11,1,9,1,13,2,6,1,30,2,28,1,30,1,7,1,9,1,16,1,13,1,8,1,13,2,6,1,7,1,9,1,17,4,12,1,9,1,13,2,9,2,10,1,9,1,12,1,17,2,16,1,9,1,6,1,8,1,6,1,7,2,13,1,8,1,28,36,30,2,6,1,8,1,9,1,16,1,13,1,28,1,13,1,6,1,13,2,6,1,17,8,16,1,11,1,10,1,9,2,13,2,29,1,8,1,30,1,6,1,7,1,13,1,24,2,8,2,6,1,8,2,9,1,11,1,10,1,17,2,28,18,6,1,30,4,28,1,30,4,29,1,28,3,30,3,6,1,30,1,28,1,30,2,6,1,28,1,29,1,28,1,6,1,28,2,29,1,13,1,9,1,13,2,9,1,6,1,13,3,8,1,13,2,11,1,9,3,8,1,9,2,13,1,9,8,13,2,9,1,13,1,8,2,9,2,8,2,13,1,9,1,8,1,13,1,8,1,13,4,8,1,9,1,13,2,8,2,9,1,8,2,11,1,8,1,9,2,10,1,9,1,17,1,16,2,11,1,17,2,16,1,17,27,9,1,10,1,8,1,9,4,13,2,9,1,13,2,9,1,8,2,13,2,8,2,13,6,8,1,13,1,9,1,13,1,7,1,8,3,13,1,7,1,6,3,13,2,6,2,7,1,6,1,7,1,6,2,13,2,6,3,29,1,6,1,7,1,6,1,13,2,8,1,7,1,13,2,29,1,28,1,30,1,29,1,30,1,6,2,30,1,7,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,7,1,30,2,6,1,30,1,28,1,29,1,30,3,6,1,30,1,29,2,28,1,29,1,6,1,29,1,28,1,29,1,28,2,30,2,6,1,29,1,30,1,28,1,29,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,1,29,1,7,2,6,1,13,1,6,1,13,4,6,1,8,1,24,1,13,1,7,1,6,1,7,1,30,1,6,4,13,1,6,1,29,1,6,2,30,3,29,2,6,2,29,1,6,2,29,1,6,2,7,2,30,1,29,1,30,1,6,1,29,1,28,2,30,1,28,1,30,1,28,4,30,2,29,1,30,1,28,3,30,1,6,1,28,6,30,2,6,1,28,6,30,4,6,1,30,1,6,1,30,1,6,3,8,3,30,1,6,1,13,2,6,1,7,2,29,3,6,1,29,1,6,1,30,1,6,2,13,1,9,2,17,1,12,2,11,1,12,1,11,2,24,1,8,1,24,1,9,1,13,1,9,1,13,4,6,1,8,1,6,1,13,4,7,1,13,1,7,1,8,1,13,1,8,1,13,1,29,1,13,2,30,1,6,1,28,1,29,2,7,1,6,3,29,1,6,1,30,2,6,1,28,1,30,1,6,1,30,3,7,1,6,1,7,1,13,2,6,2,13,1,29,1,6,2,30,1,6,1,13,1,6,5,7,1,6,4,30,1,6,4,13,1,7,1,29,3,6,2,29,2,30,1,6,1,30,1,29,1,6,2,30,1,7,1,30,3,13,1,6,1,30,1,7,2,6,2,29,1,7,1,28,1,30,1,6,2,30,1,29,1,30,3,6,1,30,2,6,2,30,1,28,1,29,1,30,1,6,1,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,3,28,1,30,2,28,1,29,1,30,1,6,1,29,1,30,1,29,1,6,2,29,1,6,2,29,1,30,1,6,1,30,3,13,1,29,1,30,3,28,1,30,1,28,1,30,6,28,4,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,29,2,30,1,13,1,9,1,13,1,8,2,13,2,6,2,29,1,30,1,28,1,30,2,28,1,30,2,29,1,30,1,7,1,10,1,17,2,9,2,13,1,24,1,9,1,8,1,11,1,10,1,12,1,10,1,12,2,11,1,12,2,9,1,17,1,9,1,10,1,9,1,17,1,10,1,11,1,12,1,10,1,12,1,17,1,12,1,17,21,11,1,17,8,12,1,17,19,12,1,17,1,11,1,17,1,12,1,17,7,11,2,17,1,9,1,12,1,10,2,24,2,9,2,13,1,24,1,10,1,9,2,24,2,8,3,6,1,13,1,24,1,9,3,8,1,10,1,17,1,13,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,3,28,2,30,4,28,1,30,4,13,2,28,2,30,1,28,1,30,5,28,1,30,3,28,1,30,1,28,2,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,4,30,4,6,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,28,2,30,3,9,1,30,2,6,1,30,1,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,29,1,28,2,30,1,6,1,30,2,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,3,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,2,6,1,30,2,6,3,30,1,6,3,13,1,6,1,30,3,29,1,30,2,6,1,29,1,6,1,30,2,28,1,30,1,28,2,29,1,30,3,6,1,30,3,6,2,30,1,6,1,29,1,28,1,6,1,30,1,28,2,6,1,30,2,28,1,29,1,30,2,28,1,13,2,6,1,30,1,28,4,30,3,6,3,30,3,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,2,30,2,6,1,29,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,6,1,30,1,28,1,13,2,30,1,6,1,28,8,6,1,30,1,28,2,30,2,28,2,30,2,6,1,30,2,28,1,30,3,28,1,30,5,28,1,6,1,13,1,28,1,30,1,28,4,30,2,28,1,30,2,28,3,30,1,28,3,6,1,28,2,30,1,6,1,30,1,28,1,30,4,28,1,30,1,28,1,29,1,28,3,30,5,6,1,30,3,29,2,6,1,30,2,28,9,30,1,28,6,30,1,28,5,30,1,28,2,30,1,28,46,30,1,9,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,4,30,2,28,3,30,6,28,5,6,1,29,1,28,1,30,1,6,1,30,3,28,1,30,10,28,1,30,2,28,1,13,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,4,30,1,28,6,30,1,28,1,30,2,28,5,30,1,28,1,30,2,28,11,30,1,28,9,30,2,29,1,30,2,28,2,6,1,30,1,29,1,30,2,29,1,30,1,28,1,30,1,28,6,30,1,28,2,30,2,28,6,30,1,13,1,17,3,9,2,17,31,11,3,17,13,16,1,17,3,9,1,17,1,11,2,17,6,12,1,17,1,10,2,9,1,24,1,27,1,26,1,27,3,29,3,6,1,29,1,6,1,30,1,28,3,30,2,28,10,6,1,9,4,11,1,9,5,8,1,9,1,11,1,10,1,11,1,10,1,17,1,12,1,11,1,12,1,9,2,11,1,8,1,17,1,9,2,10,1,9,1,11,1,10,1,9,1,11,1,9,1,10,1,17,4,16,1,11,1,16,1,11,2,17,1,11,1,17,1,11,2,17,2,9,1,30,1,29,1,30,1,28,3,30,3,28,1,30,4,29,1,30,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,29,1,6,1,28,1,30,1,28,1,6,1,30,1,29,1,28,1,6,1,28,1,30,1,6,1,30,1,29,1,30,1,28,1,30,3,6,1,30,5,6,1,30,1,28,1,30,1,28,1,30,1,29,1,28,4,30,1,28,2,30,1,28,1,29,1,30,2,28,2,30,1,6,2,13,2,6,1,13,2,8,1,13,1,9,1,13,1,9,1,13,3,9,1,8,1,9,1,8,1,13,1,8,1,9,1,13,1,12,1,17,2,11,1,8,1,9,1,10,1,6,1,13,2,29,1,6,3,29,1,6,1,8,1,30,1,28,2,6,1,30,4,6,1,13,1,6,1,30,1,29,1,6,2,30,1,13,1,30,1,6,1,30,4,29,1,28,1,30,1,6,1,9,1,7,1,9,1,13,1,8,1,10,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,21,8,2,13,1,10,1,11,1,9,1,11,2,16,2,17,1,12,2,17,1,11,1,9,1,12,1,9,1,11,1,12,1,10,1,9,2,10,1,9,3,13,4,6,2,7,1,6,2,29,2,7,1,6,2,29,1,30,2,6,2,28,1,13,1,30,1,6,2,30,1,6,1,30,1,6,1,28,1,30,3,28,1,30,1,29,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,4,28,7,30,1,28,33,30,1,28,11,30,5,6,2,13,1,6,2,13,1,7,1,6,1,13,1,6,1,13,5,9,2,10,1,13,2,9,2,13,1,8,1,13,4,8,2,13,5,7,1,6,1,13,1,6,1,7,1,29,4,30,1,29,1,6,1,30,1,6,2,29,1,30,1,28,1,30,2,28,1,30,1,6,1,30,2,6,2,13,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,13,1,6,5,29,2,6,3,7,1,13,1,30,1,7,1,13,1,6,1,13,2,6,2,13,2,29,1,6,2,13,1,6,1,7,1,6,3,13,5,6,1,13,1,7,2,6,2,13,1,6,1,13,2,7,1,13,1,9,1,13,3,8,2,9,1,8,1,9,1,8,1,9,1,8,2,9,1,11,1,16,1,8,1,9,1,10,1,9,1,8,1,9,1,8,1,9,3,10,1,8,1,9,2,13,1,9,2,7,1,9,3,8,1,9,1,11,1,9,1,8,1,9,3,7,1,8,1,9,3,13,3,9,1,8,1,9,1,13,1,11,1,9,4,16,1,17,1,16,1,11,1,17,20,11,2,16,2,17,1,12,1,11,2,17,1,11,1,9,1,11,1,9,1,8,1,11,1,9,1,13,1,9,2,8,1,9,1,13,1,9,2,8,1,9,3,8,1,16,1,10,1,9,3,11,1,12,1,9,3,13,1,9,1,11,1,8,1,9,2,8,1,9,1,11,3,16,1,12,1,9,1,16,1,9,3,10,1,9,3,11,1,9,1,11,3,13,1,30,1,6,3,30,1,28,1,30,1,28,1,30,1,28,2,30,5,28,1,30,1,28,3,30,1,28,2,30,1,9,1,28,16,13,1,17,2,11,1,9,1,13,1,30,1,29,2,28,2,30,2,28,8,30,2,28,2,8,1,12,1,11,1,9,1,10,1,11,1,17,1,12,1,28,1,30,1,28,4,13,1,9,1,8,1,6,1,28,42,29,1,6,1,30,2,28,1,16,1,17,3,9,1,28,3,30,1,28,1,6,1,7,1,9,1,17,2,8,1,28,6,29,1,28,1,30,1,28,13,}, {9,1,8,1,13,1,6,1,28,3,30,1,28,1,13,1,15,1,13,1,28,51,30,2,6,1,24,1,9,1,8,1,13,1,6,1,30,1,29,1,30,1,11,1,9,1,11,1,13,1,8,1,6,1,8,2,12,1,17,1,16,1,17,2,12,1,11,1,16,1,9,1,13,1,6,1,30,1,29,2,30,1,6,1,9,2,10,1,8,1,30,1,6,1,7,1,13,1,12,1,17,4,16,1,9,2,8,1,13,1,9,1,11,1,12,1,17,4,8,1,13,1,6,1,7,3,13,1,24,1,30,1,28,37,6,1,9,1,24,1,17,1,8,1,6,3,13,1,6,1,7,1,12,1,17,6,14,1,17,1,16,1,8,2,24,1,6,1,13,1,6,1,13,1,6,1,30,1,8,1,7,1,8,1,13,2,8,1,13,1,7,1,12,1,16,3,17,1,16,1,28,18,6,2,30,2,28,1,30,3,28,1,30,5,28,2,29,1,30,3,6,1,30,1,29,1,30,3,28,2,30,2,13,1,9,2,13,1,8,1,13,1,8,1,13,1,6,1,8,1,9,1,13,3,11,1,9,2,8,1,9,1,8,1,13,1,8,1,9,1,8,2,13,1,9,1,8,1,9,1,13,2,9,1,13,1,9,2,13,1,8,1,13,3,8,1,9,3,8,1,9,1,8,1,9,7,11,2,9,1,11,1,8,1,9,2,8,1,12,1,11,1,17,1,16,1,11,1,17,32,11,1,9,2,10,1,9,2,8,1,9,1,8,2,13,1,8,2,9,1,8,2,13,1,8,1,13,2,8,1,13,4,6,1,13,1,6,1,7,2,6,1,13,2,7,1,13,3,7,1,6,1,13,1,6,2,7,1,6,3,13,2,6,1,13,1,7,1,13,2,8,1,13,1,6,1,7,1,6,1,7,2,13,1,6,1,30,2,6,1,29,1,6,1,29,1,30,1,6,4,30,1,7,2,30,3,6,2,30,2,29,1,30,2,6,1,30,1,28,1,30,6,29,1,28,1,30,1,29,1,28,1,29,2,30,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,3,29,1,30,1,6,4,13,5,7,1,13,1,7,4,30,1,7,2,30,1,13,1,30,1,13,2,6,1,29,2,30,2,29,1,30,3,6,2,30,1,7,1,6,1,7,1,6,1,30,2,29,1,30,1,29,1,6,1,30,2,6,1,28,1,30,1,28,1,29,1,28,2,30,1,28,2,30,2,28,1,29,1,30,5,28,1,30,1,28,1,30,5,28,9,30,1,28,1,6,4,7,1,8,1,13,1,9,1,8,1,7,1,6,1,13,1,6,1,13,1,30,1,6,2,13,1,29,3,6,4,13,1,24,1,11,2,17,3,10,1,12,1,9,1,24,1,8,1,13,1,9,1,13,2,8,1,13,6,29,1,7,1,13,4,7,1,13,2,8,1,7,1,13,2,6,2,7,1,30,1,7,1,6,3,29,1,6,1,30,1,29,1,30,1,6,1,30,1,29,2,6,1,28,1,7,1,30,1,6,1,13,1,7,1,13,1,6,4,29,1,7,1,29,1,7,1,6,2,29,2,6,4,7,1,30,1,29,1,6,1,30,1,6,5,30,1,7,1,30,1,6,2,30,1,29,1,30,2,6,2,30,1,6,1,30,1,29,1,30,1,6,1,29,1,6,2,30,1,7,1,6,3,29,1,30,1,28,1,30,1,6,2,30,2,28,1,6,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,1,29,1,28,1,29,1,30,3,28,1,30,3,28,5,30,1,28,1,30,1,28,4,30,1,28,1,29,1,30,1,6,1,28,1,29,1,30,1,29,1,6,1,29,1,7,1,29,1,6,1,30,1,7,1,29,1,30,2,29,1,6,1,28,1,6,1,28,1,30,2,28,1,29,1,28,1,30,1,6,1,30,1,29,1,28,1,30,1,28,3,30,2,28,6,30,4,6,2,7,1,13,2,8,1,9,1,13,1,8,1,13,1,30,1,28,1,29,2,30,1,29,1,30,5,6,1,29,1,6,1,9,1,12,1,11,1,9,1,13,1,8,1,9,2,8,2,9,2,10,3,17,2,9,1,12,2,9,1,10,1,11,2,9,1,10,1,11,2,17,1,12,2,17,23,12,1,11,1,17,1,12,1,11,1,17,7,12,1,17,9,12,1,17,5,11,1,10,1,17,2,12,1,11,1,17,2,11,1,17,1,12,1,10,1,12,1,10,3,9,1,10,2,11,1,24,1,9,1,10,1,13,1,24,1,13,1,8,3,24,1,8,1,24,1,10,1,8,2,9,1,8,1,12,2,17,1,6,1,28,1,30,1,28,6,30,1,28,3,30,3,6,1,28,1,30,1,28,2,30,2,28,3,9,1,13,1,30,1,28,2,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,2,30,1,28,1,13,1,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,4,28,1,30,1,28,1,30,3,28,1,30,3,28,3,30,2,28,1,30,1,28,1,6,1,30,1,28,1,8,1,6,1,28,2,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,4,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,2,28,4,30,1,28,1,30,2,28,3,30,2,28,3,30,1,28,3,13,1,30,1,28,1,6,1,28,1,29,1,30,1,6,3,30,5,28,3,30,1,6,1,30,3,29,1,6,1,30,2,6,1,30,2,29,2,6,2,28,1,30,1,7,1,6,3,30,8,6,1,30,2,28,1,6,1,29,1,6,1,30,1,13,2,6,1,28,3,30,1,28,1,6,1,30,1,6,2,30,1,29,1,30,2,28,1,30,2,6,1,30,1,28,2,30,1,28,3,30,1,6,1,30,2,28,2,6,1,30,1,28,2,6,1,28,2,30,1,28,1,30,3,28,1,30,1,6,1,29,1,6,1,13,2,30,2,28,2,30,1,28,1,30,3,28,2,30,1,28,2,30,5,6,1,30,2,28,1,30,4,28,1,30,1,28,1,30,2,28,2,13,1,6,1,28,1,29,1,28,4,30,1,6,1,28,5,30,1,28,6,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,5,30,1,29,1,28,1,30,3,28,1,30,6,6,3,30,1,6,1,28,1,30,2,28,1,30,1,28,5,30,1,28,12,30,1,28,13,30,1,28,32,9,1,30,1,28,9,30,3,28,2,30,1,28,3,30,1,28,9,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,3,13,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,30,4,28,2,30,3,28,1,30,1,28,1,30,1,13,1,28,1,6,1,28,8,30,3,28,2,30,2,28,1,30,2,28,28,30,1,28,5,30,1,6,1,30,1,6,2,30,1,28,1,30,1,28,1,6,1,28,2,6,1,30,1,28,18,8,1,17,3,10,1,24,1,17,32,11,1,17,19,11,2,17,9,10,1,12,2,24,1,26,1,27,4,29,2,30,1,29,1,6,2,30,1,29,1,28,15,11,1,9,4,10,3,9,1,11,1,9,6,11,3,9,1,17,1,10,1,11,1,9,3,11,1,9,4,13,1,11,1,10,1,11,2,16,1,17,1,16,1,11,2,17,1,11,1,17,1,16,1,17,6,11,1,13,1,7,1,28,1,30,4,29,1,30,2,28,1,30,1,28,1,30,3,29,1,6,2,30,3,28,1,29,1,28,1,30,4,28,1,30,2,28,1,30,3,29,1,6,1,28,2,6,2,28,1,30,2,29,1,28,1,30,1,6,1,28,4,6,1,28,1,30,1,6,1,30,2,29,1,30,2,28,2,30,2,6,1,30,1,6,1,29,1,30,3,6,1,29,1,13,1,29,1,13,4,8,3,13,1,8,1,9,1,13,1,8,1,9,1,8,3,13,1,9,1,8,1,17,3,9,1,8,3,11,1,13,2,30,1,7,1,6,2,9,1,8,1,6,1,30,3,28,1,6,2,29,1,30,3,6,2,30,1,28,1,6,2,7,1,6,1,30,1,28,1,30,4,6,1,13,2,8,1,11,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,3,6,1,13,3,6,1,13,1,6,1,7,2,6,1,13,11,9,2,11,1,9,1,10,1,12,1,10,1,12,1,11,2,12,1,17,1,12,1,17,1,9,1,11,1,10,1,9,1,11,2,10,1,9,8,13,1,8,1,13,2,6,1,7,1,29,1,6,1,30,1,29,1,30,1,6,2,30,1,6,1,28,1,7,1,30,2,13,1,30,4,6,1,13,1,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,4,30,3,28,2,30,1,28,4,30,1,28,4,30,1,28,13,30,1,28,1,30,1,28,9,30,1,28,11,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,29,1,30,1,7,1,6,2,29,1,7,2,6,1,7,1,13,8,8,1,13,3,10,1,8,2,13,4,7,1,6,1,13,1,7,1,8,1,13,2,7,1,13,1,6,1,13,3,7,1,6,1,7,1,30,1,6,2,30,1,6,1,7,2,29,1,28,1,30,2,28,1,30,2,28,1,30,4,6,1,28,1,6,1,30,3,6,1,30,2,6,1,30,2,29,1,6,1,29,1,6,2,29,1,7,1,6,1,13,1,6,1,7,1,6,3,13,2,6,1,13,1,7,1,6,1,13,1,6,3,7,1,6,1,13,1,30,1,7,2,13,1,6,3,13,3,6,2,7,1,13,2,6,1,13,6,11,1,9,1,13,1,8,2,13,1,8,3,9,1,8,1,9,1,13,1,9,2,16,1,9,3,13,1,9,2,8,1,9,4,13,1,8,1,9,3,8,2,9,2,13,4,12,1,9,1,8,1,9,1,13,1,9,3,13,1,9,1,11,1,9,3,13,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,16,1,17,1,11,1,17,4,16,1,17,4,16,1,17,5,11,1,16,1,17,1,11,1,17,1,9,1,11,2,12,1,9,1,16,1,13,1,11,2,9,1,16,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,8,1,9,4,10,1,9,1,12,1,11,1,10,1,9,1,16,1,10,1,11,1,16,1,11,1,10,1,12,1,9,3,11,1,9,1,8,1,9,1,8,1,9,2,11,1,17,1,11,1,10,1,9,4,11,1,9,2,11,1,16,2,10,1,11,2,13,1,7,1,6,1,13,1,30,4,29,1,30,4,28,11,30,1,6,1,13,1,28,16,13,1,17,2,13,1,11,1,13,1,6,2,30,1,28,1,30,2,28,10,30,2,29,1,13,1,9,1,11,2,9,1,12,1,17,1,11,1,28,6,6,1,9,1,8,1,13,1,28,41,6,3,28,3,17,3,11,1,9,1,6,1,28,2,30,1,28,2,13,1,9,1,11,1,17,1,9,1,28,6,30,1,28,15,}, {9,1,8,1,6,1,7,1,28,5,6,1,12,1,9,1,28,47,30,1,28,3,29,2,30,1,9,1,11,1,9,1,13,1,28,1,7,1,28,1,7,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,11,3,17,1,16,2,17,1,12,1,11,1,13,1,29,1,6,1,30,1,29,2,6,1,13,1,16,1,8,1,9,1,13,1,6,2,13,1,11,1,17,4,11,1,10,2,9,1,13,1,12,1,9,2,12,1,17,2,16,1,13,5,6,2,9,1,30,1,28,36,6,2,9,2,17,1,10,1,29,1,6,2,29,1,30,2,8,1,17,6,16,1,17,1,16,1,9,1,13,1,7,1,6,1,13,2,29,1,7,1,6,1,7,1,8,1,13,1,8,1,9,1,8,2,13,1,8,2,12,1,11,1,17,1,16,1,30,1,28,17,6,1,30,1,28,1,29,1,6,2,30,4,29,1,28,1,30,3,6,1,28,2,30,3,7,1,13,1,28,1,29,1,28,1,30,2,28,1,30,1,9,1,7,1,8,1,13,1,8,1,13,1,9,1,13,3,9,1,8,1,9,4,13,1,8,1,9,5,13,1,8,1,9,1,8,1,9,1,13,1,8,1,13,2,9,1,13,1,9,2,13,3,9,1,13,4,8,1,9,2,8,1,9,3,13,1,8,2,9,1,10,1,9,2,8,1,10,1,9,2,12,1,9,2,17,2,12,2,16,1,17,30,11,2,8,1,10,1,9,3,8,1,9,1,24,1,13,2,9,1,8,3,13,1,7,1,9,1,8,1,13,1,8,1,7,1,13,6,8,1,13,2,8,1,13,1,6,1,13,1,6,2,8,1,13,1,7,5,13,1,7,2,13,1,7,3,6,4,7,2,6,1,13,1,30,1,6,3,30,1,6,1,30,1,6,2,30,2,6,1,13,1,29,1,6,1,7,1,13,1,30,3,6,1,30,1,29,1,30,1,29,1,30,2,6,1,30,4,28,1,30,1,29,2,28,1,30,5,6,1,28,1,30,1,6,1,29,1,30,1,28,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,7,2,13,4,8,1,13,1,7,1,13,1,8,1,6,3,29,1,13,1,6,2,30,1,6,1,13,1,6,1,7,1,6,1,30,1,29,1,6,1,30,1,29,1,30,1,6,1,29,2,30,1,6,1,7,1,6,1,29,1,6,1,13,1,6,1,30,3,29,1,30,3,29,1,28,2,29,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,2,29,1,28,6,6,3,28,7,30,3,29,1,30,1,29,1,30,1,6,2,7,1,8,1,9,1,10,1,9,1,7,1,6,2,13,1,29,1,7,1,29,1,6,1,30,1,29,2,7,1,30,2,6,1,30,1,13,2,9,2,17,1,12,2,11,1,12,1,10,1,9,2,13,1,8,1,13,1,9,1,13,4,6,1,13,1,7,1,13,4,6,1,8,2,9,2,13,2,7,1,13,1,7,2,6,1,29,1,6,2,7,1,6,1,7,1,6,2,30,1,6,1,30,2,6,1,28,1,30,2,6,2,7,1,6,5,29,1,6,2,7,2,13,1,6,2,29,1,6,3,7,1,30,1,13,1,7,1,13,1,29,1,30,1,6,1,30,1,29,1,30,1,6,2,7,2,6,2,13,1,6,1,30,3,6,1,29,5,30,1,6,1,30,1,29,1,28,1,6,1,30,1,6,1,13,1,6,1,30,1,6,1,29,1,6,1,7,1,30,4,29,1,30,4,29,1,28,1,30,2,28,1,30,2,28,2,30,2,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,4,30,2,28,1,6,2,30,2,6,1,28,1,30,1,6,1,28,1,30,1,6,1,30,1,6,2,30,1,6,2,28,1,29,1,6,3,29,1,30,1,29,1,30,4,28,1,30,1,28,1,30,5,28,1,30,1,28,9,30,1,28,1,30,1,7,1,6,1,8,1,13,2,8,1,13,3,29,1,6,2,29,1,30,5,6,1,30,3,13,1,6,2,13,1,17,1,12,1,8,2,13,1,9,1,24,4,10,1,12,2,17,1,10,1,12,1,10,1,8,1,11,1,9,1,10,1,9,2,11,1,12,1,10,1,12,1,17,1,12,1,17,18,12,1,17,2,12,1,17,2,12,1,17,5,12,1,17,11,12,1,17,6,12,1,17,7,12,1,17,2,12,1,17,2,12,1,10,1,12,1,11,1,12,1,10,1,11,2,10,1,8,1,13,2,8,1,9,1,24,1,8,5,24,1,9,2,8,3,17,1,9,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,4,30,2,28,1,30,3,6,1,28,1,30,1,28,1,30,1,28,1,9,1,13,1,6,1,28,2,30,2,28,3,30,4,28,2,30,1,28,2,30,1,13,1,28,3,30,2,28,1,30,2,28,1,30,1,28,2,30,5,28,1,30,3,28,1,30,2,6,1,28,1,30,1,28,1,30,2,28,5,6,1,28,2,30,1,28,3,30,1,28,6,30,3,28,1,30,2,28,2,30,2,28,6,30,1,28,1,30,1,28,1,29,1,28,2,30,1,28,5,30,1,28,4,30,1,28,3,30,2,28,1,7,1,28,1,30,1,28,5,13,2,30,4,29,1,30,2,6,1,30,8,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,3,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,2,29,1,28,1,30,4,28,1,6,1,30,1,6,2,30,6,6,1,29,2,30,2,28,2,30,2,28,1,30,1,28,1,30,4,6,1,29,1,30,2,6,1,28,2,6,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,1,6,3,8,1,6,1,30,1,28,3,30,1,28,4,6,1,30,2,28,2,30,4,6,1,30,3,6,1,28,2,30,3,28,1,30,2,28,2,30,1,6,1,13,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,4,30,1,28,1,30,3,28,1,30,2,28,3,30,1,28,1,30,2,28,1,29,1,30,1,28,1,30,3,28,1,30,2,28,2,30,3,6,1,7,1,6,1,30,3,28,1,30,2,28,3,30,1,28,1,30,1,28,4,30,1,28,8,30,1,28,2,30,2,28,6,30,1,28,11,30,1,28,2,30,1,28,2,30,1,28,6,29,1,28,5,30,1,28,4,30,1,28,1,16,1,28,1,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,4,30,1,28,11,30,2,28,1,30,1,28,2,6,1,30,2,28,1,30,2,28,1,9,1,28,6,30,2,6,1,28,4,6,1,28,1,30,3,28,2,30,1,6,1,13,1,28,1,30,7,28,4,6,1,30,2,6,1,30,1,28,1,30,3,28,7,30,1,28,1,30,1,28,8,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,2,7,1,6,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,29,1,30,1,28,2,30,1,28,2,30,1,28,12,8,1,17,3,12,1,9,1,8,1,17,31,11,1,17,1,16,1,17,17,9,1,17,2,12,1,17,5,11,1,17,1,11,1,17,1,8,1,24,1,8,1,29,1,26,1,27,3,29,1,30,1,27,1,28,1,26,1,29,3,28,14,11,1,9,2,10,1,9,2,11,1,10,1,9,5,11,1,12,1,11,2,9,1,11,1,10,1,11,1,9,2,11,6,9,1,10,3,11,1,9,1,17,5,16,1,11,1,9,1,11,1,16,1,11,1,17,3,11,3,10,1,29,1,30,2,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,2,29,1,28,1,30,7,28,1,6,1,28,1,30,2,28,1,30,1,6,1,28,2,30,1,6,2,28,1,30,1,28,1,29,1,30,3,29,1,28,1,6,1,30,1,28,1,6,1,29,1,30,1,6,1,29,1,30,3,29,1,30,1,28,1,30,3,28,1,30,1,28,2,29,1,28,1,30,1,6,1,30,1,6,2,30,1,13,4,7,1,8,3,13,1,9,1,13,1,8,3,13,1,8,1,9,1,13,2,10,1,17,2,9,1,12,1,9,1,13,1,9,1,13,1,6,2,30,1,13,1,6,1,9,1,29,2,6,1,28,1,30,1,6,1,28,1,6,2,30,1,6,2,30,1,28,1,30,2,6,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,8,1,9,1,8,6,13,3,9,1,13,1,8,1,13,4,7,1,13,1,8,1,13,3,7,1,13,5,8,1,13,1,8,1,6,1,13,1,9,4,8,1,11,1,9,1,11,1,16,1,11,1,17,2,12,1,11,1,12,1,11,1,12,1,10,1,11,1,9,1,11,1,9,3,10,1,9,2,8,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,2,30,1,6,1,30,2,29,1,6,1,30,4,28,1,6,2,28,1,30,2,28,2,6,1,30,2,28,1,30,3,28,1,30,1,28,3,30,1,28,2,30,2,28,2,30,1,6,3,28,2,30,1,28,9,30,1,28,16,30,1,28,10,6,1,28,4,29,1,28,9,30,4,28,1,6,2,30,1,7,2,6,3,13,1,7,1,13,1,6,1,13,3,6,1,13,1,8,1,13,1,9,2,11,1,13,3,8,2,13,4,9,1,13,1,9,2,8,1,13,2,6,1,13,2,7,1,29,1,6,1,7,1,6,2,13,1,30,1,6,1,13,1,29,1,30,1,29,1,30,1,28,2,30,5,28,1,30,2,7,1,30,2,28,1,6,1,30,2,28,1,30,2,6,1,30,1,6,1,30,1,6,1,29,1,30,1,6,2,29,2,6,3,13,2,6,2,13,1,6,4,13,1,30,1,6,3,13,1,6,2,13,1,6,1,13,2,7,1,29,1,6,3,13,4,29,1,13,1,7,1,13,1,8,1,13,1,8,1,13,4,8,1,9,1,13,1,8,1,9,1,8,2,13,1,9,1,8,2,9,4,8,1,9,2,13,1,9,1,8,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,1,9,7,8,1,9,1,8,2,9,1,13,1,9,2,8,1,9,4,8,1,9,3,10,1,9,1,11,1,16,1,17,18,16,1,17,4,16,1,11,2,9,1,11,1,10,1,9,2,10,1,9,1,11,1,9,1,8,1,9,1,16,1,8,2,11,1,9,1,11,1,9,1,16,1,11,1,9,1,13,1,11,3,9,2,17,1,9,1,11,1,9,1,11,1,10,1,8,1,10,2,9,1,11,1,9,1,16,1,10,1,11,4,17,1,9,2,13,2,9,4,17,1,11,3,6,1,7,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,30,4,28,1,30,3,28,3,30,2,28,1,30,2,28,1,13,1,28,16,13,1,17,2,9,1,13,2,6,3,28,1,29,1,28,11,6,1,29,1,30,1,6,1,9,2,16,1,12,1,9,1,17,1,13,1,28,6,29,1,10,1,6,1,28,42,13,1,7,2,30,1,28,1,6,1,16,1,17,2,11,1,13,1,6,1,30,1,29,1,30,1,6,1,13,1,6,1,16,1,17,2,13,1,28,6,6,1,29,1,28,14,}, {13,1,9,1,8,1,6,1,30,1,28,1,30,1,28,2,30,1,8,2,28,52,29,1,13,1,9,2,8,1,13,1,30,1,7,1,29,2,9,3,8,1,6,1,13,2,10,2,9,1,11,4,16,1,11,2,8,1,13,1,29,1,30,1,28,2,6,1,9,3,13,2,7,1,6,2,9,1,17,5,9,1,8,2,11,1,9,1,11,1,12,1,9,1,17,3,13,2,6,5,8,1,6,1,28,36,6,1,8,1,24,2,12,1,9,1,6,3,30,1,6,2,9,1,17,8,11,1,13,2,10,1,24,1,13,2,6,1,29,1,7,1,6,1,8,1,13,1,6,1,9,2,8,1,13,1,8,1,9,1,16,3,17,1,28,18,6,1,13,1,6,1,30,2,28,1,29,1,30,4,6,1,30,2,6,1,28,1,30,1,6,1,29,1,6,2,30,1,6,1,29,2,30,2,28,2,30,1,13,2,9,4,8,2,13,1,8,2,13,1,9,1,8,1,9,1,13,1,9,2,8,2,9,2,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,13,3,8,1,13,1,9,1,13,5,8,1,13,3,8,1,9,1,8,1,9,1,8,1,10,2,9,2,13,1,8,1,9,1,13,1,9,2,13,1,11,1,10,1,11,3,10,1,12,2,16,1,17,32,10,1,11,1,9,5,8,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,13,6,7,1,13,1,7,1,13,2,8,1,13,1,8,1,13,5,30,1,13,3,6,1,7,1,13,1,6,1,13,1,7,1,13,1,30,1,6,3,13,2,29,1,6,1,29,1,30,1,13,1,30,1,29,1,30,3,6,1,29,1,28,1,30,1,6,1,29,1,6,3,29,1,30,1,29,1,7,1,6,1,30,2,6,1,29,1,30,1,29,1,6,1,28,1,30,3,28,1,30,5,6,1,28,1,6,1,30,3,29,2,30,1,6,1,30,1,6,2,30,2,7,1,6,1,29,1,6,1,7,1,6,4,8,1,6,1,13,2,7,1,13,1,8,1,6,1,13,1,7,1,13,1,6,1,13,1,6,3,13,1,6,2,29,1,6,1,30,1,29,3,30,1,28,1,29,3,6,1,7,3,6,1,29,1,6,2,29,2,30,8,29,1,28,1,6,2,28,1,6,1,30,1,29,1,30,1,28,1,30,2,29,1,30,2,7,1,6,1,29,1,28,9,30,5,6,2,30,1,6,1,13,2,8,1,12,1,13,1,7,1,6,4,30,1,6,3,30,1,6,3,29,1,6,3,13,1,8,1,10,1,17,1,12,2,11,1,10,1,9,3,13,10,7,1,13,3,7,1,24,1,8,1,24,1,13,1,24,1,13,6,29,1,6,1,13,1,6,2,7,1,6,4,29,1,6,3,13,1,29,1,6,12,7,2,6,1,7,1,13,1,6,4,7,2,30,1,6,2,7,1,6,1,7,1,29,1,6,2,29,1,6,2,30,1,7,1,30,2,6,3,30,1,6,4,29,1,6,3,7,1,30,1,6,2,29,1,6,1,29,1,30,1,6,1,29,1,13,1,29,1,30,2,28,1,29,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,2,30,4,28,1,30,2,28,2,6,1,30,1,28,2,30,3,28,1,30,1,28,4,30,1,29,1,30,1,6,1,30,1,28,1,6,1,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,2,29,1,6,1,28,1,29,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,8,30,1,28,6,30,1,28,1,30,1,29,1,6,1,13,5,8,1,9,1,13,1,6,1,30,1,29,1,30,3,29,1,30,2,29,1,6,4,13,1,6,1,29,1,6,1,11,1,17,1,10,1,13,1,7,1,13,2,8,2,10,2,12,2,9,2,17,1,11,1,10,1,9,2,10,2,11,2,9,1,12,6,17,18,12,1,17,4,11,1,17,9,12,1,17,2,11,1,17,1,12,1,17,5,11,1,17,1,12,1,17,5,12,1,17,1,12,1,11,1,17,1,11,1,17,1,12,2,17,1,10,3,11,1,9,1,10,1,9,1,8,2,9,2,8,2,10,1,13,2,8,1,13,1,24,1,8,1,9,1,8,1,9,1,10,1,17,1,7,1,30,1,28,7,30,1,28,7,30,1,28,2,30,6,28,1,13,1,16,1,28,1,30,2,28,1,30,1,28,2,29,1,30,1,28,2,30,1,28,1,30,3,28,1,6,1,30,2,28,4,30,3,6,1,28,4,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,1,30,1,28,3,30,4,28,1,30,3,28,1,30,2,28,4,30,2,28,2,30,2,28,1,30,1,28,5,30,1,28,2,30,1,28,2,30,2,28,2,30,2,28,1,30,2,28,1,30,3,6,1,28,2,30,1,28,3,6,1,30,1,28,3,30,1,28,1,30,2,6,1,13,2,29,1,30,2,6,1,30,2,6,1,30,1,6,1,29,1,30,4,29,1,6,1,30,1,29,1,6,1,30,1,13,1,30,1,6,5,30,3,28,1,30,2,28,1,30,5,28,1,30,1,29,1,30,2,28,2,30,1,6,1,30,2,29,1,30,1,6,1,30,1,28,1,30,2,28,2,6,1,28,3,6,1,30,1,29,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,29,2,28,2,30,3,28,2,30,5,28,3,30,1,29,1,9,2,6,1,28,4,30,1,28,1,30,1,28,1,29,1,6,1,30,3,28,1,30,1,28,2,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,2,13,1,28,7,6,1,28,3,30,1,28,6,30,1,28,2,30,6,28,2,30,1,28,4,30,6,28,1,29,1,30,2,28,1,6,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,25,30,1,28,10,30,3,28,1,30,1,28,13,30,1,28,2,17,1,30,1,28,2,30,2,28,1,30,1,28,9,30,1,28,6,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,7,13,1,28,4,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,3,28,1,30,1,28,2,6,3,30,2,6,1,28,2,30,2,28,1,30,2,28,2,30,1,28,1,13,1,30,1,28,1,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,18,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,4,28,1,6,1,28,1,30,2,28,1,30,2,28,15,6,1,9,1,17,3,12,1,8,1,11,1,17,30,16,2,11,1,17,14,11,1,16,1,12,1,11,1,17,2,11,1,17,7,11,1,17,2,12,1,24,1,29,1,27,1,26,1,27,2,29,4,27,1,29,3,28,2,30,1,28,11,13,1,9,2,13,1,9,5,11,1,17,1,11,1,9,3,12,1,9,1,11,1,17,1,11,1,17,1,11,2,10,1,17,1,9,1,11,1,9,1,13,1,11,1,9,2,10,1,9,1,11,1,17,4,11,1,16,1,11,1,16,2,9,1,17,5,11,1,10,1,11,1,6,1,30,2,28,1,30,19,28,1,6,1,28,2,30,6,6,1,28,1,30,2,13,1,28,1,30,3,28,2,30,1,28,2,30,4,28,1,6,1,30,1,28,1,30,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,29,1,28,1,6,3,30,1,28,1,30,1,28,1,13,2,30,1,13,1,29,1,13,4,8,1,13,3,9,1,13,1,9,1,8,2,9,2,8,1,9,2,17,3,10,1,8,1,11,1,9,1,13,1,6,1,13,2,28,1,9,1,13,1,28,1,30,2,6,2,30,1,28,1,6,3,30,2,6,1,30,1,6,4,30,1,28,3,30,3,6,2,8,1,13,1,9,1,13,1,9,1,8,2,9,1,13,1,9,2,13,1,8,2,13,5,8,1,13,1,7,1,13,1,7,1,13,2,6,1,8,1,13,5,8,4,11,1,10,1,9,2,11,3,12,1,11,1,12,2,17,2,10,1,17,1,10,1,9,1,11,2,9,4,8,1,13,1,8,1,7,1,13,3,6,1,13,1,30,2,6,1,29,1,30,1,6,1,30,1,29,1,30,1,6,1,29,1,6,1,29,1,30,2,28,3,30,1,28,1,30,5,28,3,30,2,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,2,28,11,30,1,28,2,30,1,28,7,30,1,28,12,30,1,28,5,6,1,28,16,30,1,28,1,30,3,6,2,30,2,6,2,13,1,6,1,13,1,6,1,13,2,8,1,13,1,8,2,13,1,8,1,9,2,8,1,13,1,8,1,13,1,8,2,9,1,10,1,9,2,11,1,9,3,8,1,9,2,8,1,13,2,6,1,13,2,6,1,29,1,6,2,29,1,6,1,13,1,8,1,6,1,30,5,28,3,30,1,28,1,30,1,28,2,7,1,29,1,30,1,28,3,30,3,28,1,30,3,29,1,30,1,6,5,30,1,7,2,30,1,6,1,30,1,6,1,29,1,7,1,6,1,7,1,6,1,13,1,6,1,13,1,7,2,29,1,6,2,30,1,13,1,6,4,13,1,6,1,29,1,13,2,30,1,6,1,13,1,6,1,8,1,7,1,9,1,13,1,7,1,9,1,13,4,8,1,13,2,8,1,13,1,9,1,13,1,8,2,13,1,9,1,8,1,11,1,16,1,9,2,8,1,9,3,10,1,9,1,8,3,10,1,9,4,8,1,13,1,8,1,9,3,8,1,9,3,8,1,9,1,13,1,8,1,9,1,8,1,9,3,8,1,9,7,11,1,9,2,11,1,17,10,16,2,17,1,16,1,17,3,16,1,17,1,11,1,17,3,16,1,17,1,11,2,16,1,10,1,11,1,16,1,9,1,11,1,16,1,11,1,16,1,11,2,17,1,13,1,9,3,11,1,16,1,11,1,16,1,9,1,10,1,9,3,11,1,9,1,10,1,16,1,10,1,9,1,11,1,10,1,9,2,10,1,11,2,9,1,11,6,9,1,11,1,16,1,9,2,16,2,9,1,11,1,17,1,11,1,13,2,7,1,6,1,7,1,6,1,13,1,6,1,30,1,6,2,30,1,6,1,30,4,28,5,30,3,6,1,13,1,30,1,28,15,8,1,17,1,16,1,8,1,13,1,6,1,13,1,7,1,28,1,6,1,7,1,30,1,28,5,30,1,28,2,30,1,28,2,13,1,6,1,8,1,9,1,11,1,10,1,11,2,17,1,13,1,28,6,13,1,7,1,13,1,29,1,30,1,28,40,13,1,8,1,28,1,30,2,28,1,17,3,11,1,9,1,30,1,28,2,30,1,28,1,13,1,8,1,13,1,17,2,13,1,28,6,6,2,28,14,}, {9,2,13,1,30,2,6,1,28,2,29,1,28,1,15,1,11,1,30,1,28,40,30,1,28,7,30,1,28,2,6,1,8,1,7,1,9,1,12,1,8,1,6,2,30,1,13,1,8,1,24,1,13,1,24,1,8,1,13,2,10,1,17,2,16,1,17,2,11,1,16,1,9,1,11,1,13,1,6,2,30,1,29,1,6,2,13,1,12,1,8,2,13,3,29,1,8,1,17,5,12,1,9,1,13,2,9,3,12,1,17,3,13,2,6,2,13,1,6,1,29,1,8,2,28,37,8,1,9,1,10,1,9,1,8,1,30,2,6,1,30,1,6,1,28,1,9,1,17,7,14,1,16,1,9,1,13,1,8,1,6,2,30,1,6,2,30,1,6,1,7,1,13,1,8,2,13,1,8,1,13,2,9,1,11,2,17,2,30,1,28,17,6,1,28,1,29,1,6,1,30,4,6,2,29,1,6,1,28,1,30,2,6,1,28,1,29,1,30,2,29,2,6,5,28,2,30,1,13,3,8,1,13,5,8,1,13,1,8,1,11,1,13,1,8,1,13,1,8,4,13,2,8,1,9,1,13,1,8,2,13,1,9,2,10,1,8,1,9,2,8,1,10,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,6,9,1,8,1,13,1,9,6,8,1,9,3,8,1,9,1,12,1,10,2,12,2,9,1,17,1,11,1,17,1,16,2,17,29,16,1,17,1,11,1,12,1,9,1,10,1,9,1,8,1,9,3,13,1,9,2,24,1,8,2,13,2,8,2,13,3,7,1,13,9,24,1,6,2,13,1,6,1,7,1,13,2,6,1,7,1,6,1,7,2,13,1,30,1,7,1,6,2,29,1,6,4,30,2,29,1,30,2,6,1,28,1,29,2,7,1,29,1,30,1,29,2,30,1,6,1,29,1,28,1,30,2,6,6,30,3,28,1,6,1,29,1,30,1,29,1,30,2,28,1,30,1,6,1,28,1,30,3,6,2,30,1,6,2,29,2,7,1,28,1,7,1,6,2,13,1,7,1,13,5,6,1,8,1,7,1,8,2,7,1,13,1,6,3,13,1,6,3,13,2,29,2,30,3,6,2,30,1,7,1,30,1,7,1,30,1,13,2,7,1,6,1,7,1,6,3,29,1,6,1,30,1,29,1,6,3,30,1,29,1,30,2,29,3,6,1,30,5,29,1,30,1,6,1,30,1,6,1,28,12,30,1,28,1,30,2,29,1,6,1,29,1,30,1,7,1,13,1,9,1,8,1,17,1,13,1,7,1,29,1,6,2,29,1,6,1,29,1,6,2,30,1,6,2,30,1,6,1,30,1,7,3,13,1,8,1,11,1,17,2,12,1,11,1,9,1,10,1,9,1,13,1,8,2,13,1,8,1,7,1,13,1,7,1,13,1,6,1,13,1,6,1,13,3,8,2,13,1,6,1,13,1,7,1,13,1,7,2,13,2,7,2,6,1,7,1,13,1,29,1,7,1,6,7,30,1,29,1,6,6,29,1,6,2,7,1,6,2,7,1,6,2,13,1,7,1,13,1,30,1,7,1,6,1,13,1,6,1,13,1,6,2,30,1,28,1,30,1,7,1,6,1,7,1,29,1,6,5,30,1,6,1,29,2,30,1,6,1,30,2,29,1,6,1,30,1,6,2,30,1,29,1,7,1,29,1,6,5,13,2,30,1,29,1,30,4,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,29,2,6,2,30,2,6,1,28,2,29,1,30,1,29,3,30,2,29,1,30,4,29,1,6,1,30,6,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,29,2,30,1,6,1,30,1,9,1,8,1,13,1,8,1,13,2,9,1,6,1,29,1,30,3,28,1,30,4,6,1,30,1,6,2,13,1,29,3,30,1,6,1,16,1,17,1,10,1,13,2,6,1,8,1,13,1,8,1,24,1,8,2,13,1,10,1,13,1,9,2,11,1,24,1,12,1,9,2,10,1,9,1,17,1,11,1,17,2,11,1,12,1,17,21,12,1,17,2,12,1,17,22,11,1,17,4,12,1,17,1,11,1,12,3,11,1,17,1,11,1,17,1,12,1,17,2,12,1,13,1,9,2,13,1,9,2,13,1,8,2,13,1,24,1,13,1,8,1,10,1,24,1,8,1,24,1,10,2,12,1,16,1,28,2,29,1,28,8,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,4,28,1,8,1,16,1,30,1,28,1,30,1,29,1,30,2,28,1,30,1,29,1,28,2,30,2,6,1,30,1,28,1,30,1,13,1,6,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,6,29,1,30,1,28,2,30,1,28,10,30,1,28,3,30,1,28,4,30,1,28,3,30,5,28,1,13,1,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,13,1,7,1,6,1,30,1,6,1,30,5,6,2,30,2,29,1,6,1,30,1,6,1,29,1,30,3,6,1,30,1,6,4,13,1,7,1,30,1,29,1,28,1,30,1,28,1,29,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,6,28,1,30,1,28,1,6,1,30,1,28,1,30,7,28,2,30,2,28,1,6,1,30,1,28,1,30,2,28,2,30,3,28,1,13,1,6,1,30,1,28,5,30,1,28,1,30,4,28,1,6,1,13,1,6,3,28,2,30,1,28,2,30,1,28,2,6,1,28,1,30,2,28,2,30,4,28,1,30,3,28,1,30,1,28,3,30,1,28,2,30,2,28,2,30,1,28,1,6,1,28,2,30,1,28,4,7,1,30,2,28,6,30,1,28,2,30,2,28,2,30,2,28,1,30,3,28,1,30,1,28,5,30,2,28,2,30,1,28,1,6,1,13,1,29,1,30,3,28,2,30,1,28,2,30,1,28,4,30,1,28,4,30,1,28,8,30,1,28,9,30,1,28,6,30,1,28,3,30,1,28,7,30,1,28,2,30,1,28,3,30,1,28,3,30,2,28,8,16,1,13,1,28,1,30,2,28,4,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,2,29,1,28,8,30,2,28,1,30,1,28,9,6,1,13,1,28,3,30,6,28,1,30,3,28,1,6,1,28,1,30,1,28,1,30,1,6,4,29,1,28,2,30,3,28,13,30,2,28,4,30,1,28,16,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,13,1,30,1,28,1,29,1,28,1,30,1,28,1,6,1,29,1,30,2,28,1,30,1,6,1,28,4,30,1,28,13,30,1,13,1,17,4,24,1,9,1,12,1,17,30,11,1,17,24,11,1,17,1,11,2,17,2,11,1,12,2,8,1,27,1,25,1,27,1,29,1,25,1,29,1,30,2,27,2,29,3,28,2,30,1,28,11,30,1,11,1,9,2,10,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,10,1,9,1,10,3,11,3,9,2,11,2,9,3,11,2,10,1,17,2,16,1,17,2,11,2,10,1,11,2,17,3,11,1,17,1,11,1,12,1,10,1,9,1,30,3,28,1,30,3,28,1,30,2,28,1,30,2,28,1,30,1,6,1,30,2,28,1,30,2,28,1,30,1,28,2,30,3,29,1,30,3,28,1,30,3,6,1,28,9,30,2,28,1,6,3,28,1,30,4,29,1,30,4,28,3,30,1,6,3,30,2,28,1,13,1,7,1,29,2,6,1,7,1,6,1,13,1,6,1,9,1,13,1,9,3,13,1,8,2,9,1,13,1,9,1,13,1,9,1,13,1,12,1,17,1,9,3,8,2,13,2,6,3,9,1,30,1,7,1,30,3,6,1,30,1,6,2,30,2,6,1,30,2,6,2,30,1,6,2,28,1,30,1,28,1,30,1,29,1,28,1,29,1,6,1,13,1,8,1,13,1,9,1,13,2,9,1,8,2,13,1,8,2,9,1,13,1,8,1,13,4,9,1,7,1,13,11,8,1,13,3,8,1,13,1,9,1,8,1,16,1,9,1,12,1,10,1,12,1,11,1,17,1,12,1,17,1,11,3,10,1,17,1,9,2,10,1,9,3,8,1,13,2,8,1,13,3,7,1,6,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,30,5,28,1,30,2,28,2,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,6,1,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,18,30,1,28,11,30,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,1,13,1,30,1,6,1,28,1,6,1,13,1,6,2,7,1,13,1,6,1,8,1,6,1,13,2,8,1,13,1,8,1,13,1,9,2,8,1,13,3,11,6,17,1,10,1,9,1,8,3,13,2,7,1,6,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,8,1,6,1,28,1,6,1,29,1,30,2,6,1,30,1,28,2,30,1,28,4,29,1,28,4,30,1,28,1,30,1,28,1,30,2,6,1,30,5,6,1,30,2,29,1,30,1,29,1,6,2,30,1,13,1,7,1,30,1,29,1,6,2,29,1,6,4,7,1,30,1,7,1,6,1,30,1,6,1,13,4,7,1,13,1,6,1,29,1,7,1,13,1,6,1,13,2,29,1,13,2,8,2,13,7,7,1,6,1,13,3,8,1,13,1,8,3,9,1,8,1,10,1,9,1,11,1,9,1,13,1,9,1,8,2,9,4,8,2,9,1,8,2,13,1,10,1,9,3,13,1,9,1,8,1,9,1,13,1,10,1,9,1,8,2,13,2,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,2,8,1,10,1,11,1,10,1,16,1,11,1,16,2,17,5,16,1,17,11,16,2,17,2,16,1,11,2,17,1,11,1,16,1,17,1,16,5,10,1,16,1,11,1,16,2,8,1,11,1,10,1,17,1,9,1,11,1,16,1,11,1,9,1,16,1,11,1,9,1,16,1,9,1,17,1,10,1,9,3,11,5,17,1,10,1,11,1,10,1,12,3,9,3,16,1,11,1,17,1,9,1,11,1,16,1,11,1,13,5,6,1,13,1,6,1,29,1,6,7,28,1,6,1,28,1,30,1,28,2,30,2,28,1,6,2,28,16,13,1,17,2,9,2,13,1,8,1,6,1,28,2,30,1,6,1,30,1,28,10,6,1,30,2,24,1,9,1,10,1,11,2,17,1,8,1,28,5,29,1,6,1,13,2,6,1,28,41,7,1,13,1,6,1,29,1,28,1,30,1,17,3,12,1,11,1,30,2,28,1,6,1,7,1,8,1,13,1,9,1,11,1,17,1,13,1,28,6,30,1,28,15,}, {9,1,8,1,7,1,13,1,30,1,28,2,30,1,28,1,29,1,24,2,28,51,30,1,29,1,7,1,11,1,17,1,24,1,8,1,30,1,6,1,7,1,30,1,9,1,17,1,7,1,13,2,24,1,8,1,17,3,11,1,10,1,17,3,11,1,9,1,8,1,6,2,28,2,30,1,7,1,24,1,12,1,9,1,8,1,13,1,7,1,13,1,6,1,9,1,17,5,9,1,8,2,9,1,8,1,12,1,17,1,11,1,17,3,13,4,29,1,6,2,8,1,13,1,28,36,6,1,28,1,24,1,9,1,10,1,8,1,28,1,30,2,6,1,7,1,8,1,9,1,17,6,10,1,11,1,10,1,9,1,6,1,13,1,6,1,30,2,29,1,30,1,28,1,6,1,13,1,7,1,13,1,8,1,9,1,13,1,8,3,11,2,17,2,8,1,28,17,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,2,6,2,28,1,6,1,30,2,29,3,30,2,6,2,30,2,6,3,28,1,30,1,13,1,6,1,9,1,8,1,7,1,9,1,8,1,9,1,8,1,13,1,9,1,16,1,9,1,8,1,9,2,13,1,9,1,8,2,7,1,13,2,6,1,8,1,13,2,8,3,10,2,11,1,9,1,11,1,9,2,16,1,11,1,8,1,13,2,9,1,13,1,9,1,13,4,8,1,13,1,8,1,7,1,8,1,9,1,8,2,9,6,8,2,11,2,9,1,11,2,17,1,11,1,16,2,11,1,16,2,17,25,16,1,10,1,17,3,16,1,11,1,10,1,9,1,10,1,8,1,9,1,8,1,9,1,8,1,24,1,8,2,10,1,9,1,8,2,13,1,9,1,13,1,8,1,13,2,8,2,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,7,3,13,1,7,2,13,1,6,3,7,1,13,1,6,1,29,1,13,1,30,1,6,2,7,1,6,1,30,1,8,1,6,3,13,1,30,1,7,1,6,1,30,1,6,1,7,1,30,1,6,1,30,1,28,1,29,1,30,1,6,1,7,1,28,1,6,2,30,1,7,1,30,3,6,1,7,1,28,3,6,1,30,1,6,2,30,3,6,1,29,1,6,1,30,1,6,1,29,1,7,1,6,5,7,1,6,2,13,1,6,1,13,9,7,1,13,3,7,1,6,4,7,2,13,2,6,2,30,1,6,1,29,2,28,1,6,3,13,1,6,1,7,2,13,2,6,1,29,1,30,3,7,1,28,1,6,1,28,1,30,6,28,1,6,1,30,1,28,1,30,3,29,1,6,2,29,1,30,2,28,9,30,1,28,2,30,5,6,2,13,1,6,1,7,1,8,1,7,1,10,2,13,1,30,1,6,2,29,1,7,1,30,1,29,2,6,1,28,1,30,1,7,1,29,2,30,1,6,1,13,2,9,2,12,2,11,2,9,2,10,1,13,1,8,1,13,1,7,3,13,2,7,1,13,1,7,1,13,1,6,1,24,1,13,1,24,1,7,1,13,4,7,1,13,3,8,1,13,2,6,1,29,1,13,3,6,2,7,1,13,1,6,1,29,1,6,1,7,2,6,1,7,1,13,1,29,2,13,1,6,2,30,1,6,2,29,2,13,1,6,1,7,1,13,1,30,1,6,1,13,1,30,1,6,1,13,1,7,1,29,1,7,1,29,1,7,1,6,4,7,2,6,1,30,2,6,2,30,1,29,3,6,1,30,3,7,1,6,1,29,1,6,1,29,1,6,1,29,1,28,1,6,1,30,1,29,1,6,2,28,1,6,4,28,1,30,5,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,13,6,1,30,1,6,1,30,1,29,1,6,1,30,2,6,2,30,3,29,1,30,1,6,1,28,1,30,4,28,2,30,1,28,4,30,2,28,1,30,3,28,3,30,3,29,1,30,1,6,1,13,1,9,1,13,1,8,1,9,2,13,2,29,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,29,2,13,1,6,1,13,2,6,3,30,3,6,1,9,1,17,2,13,2,8,1,7,1,9,1,13,1,8,2,24,1,8,1,13,1,9,1,12,1,24,1,9,1,10,1,11,1,12,1,11,1,10,1,12,1,17,1,11,1,10,1,12,1,11,1,10,1,12,1,17,4,12,1,17,16,11,1,17,2,12,1,17,20,10,1,11,1,12,1,17,3,11,1,17,1,12,2,11,2,12,2,17,3,12,1,11,1,12,1,10,1,11,1,8,4,9,1,13,1,8,2,24,1,8,1,24,3,9,1,24,1,12,1,17,1,10,1,28,2,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,2,30,1,28,2,11,1,17,1,30,1,28,3,30,2,28,3,30,2,28,1,30,1,28,1,30,2,13,1,6,1,28,3,30,4,28,4,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,4,30,1,28,6,30,1,28,1,6,1,28,11,30,3,28,11,30,1,28,1,30,1,28,1,30,2,28,2,6,1,30,1,6,1,30,2,28,1,30,1,28,3,6,1,13,1,30,1,6,1,30,1,6,1,28,2,30,1,6,1,30,7,6,1,30,1,28,1,30,2,29,1,7,1,6,1,30,2,6,2,7,1,29,1,30,4,6,1,28,1,30,3,28,1,29,1,28,1,30,2,28,2,30,2,28,1,30,1,28,2,30,1,28,1,13,1,6,1,28,3,30,1,28,3,30,3,28,1,30,1,28,3,30,1,28,2,6,1,30,2,28,3,13,1,7,1,28,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,13,2,6,1,28,2,30,1,28,5,30,3,28,1,30,1,28,2,30,4,28,1,29,1,30,2,28,2,29,1,28,1,30,1,6,1,30,1,28,2,6,1,28,4,30,2,13,1,30,1,28,1,30,1,28,3,6,2,28,15,30,1,28,6,30,2,28,1,30,2,28,3,30,1,28,2,30,2,28,1,30,3,28,1,6,1,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,3,30,1,28,4,6,1,28,17,30,1,28,8,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,13,30,1,28,4,30,1,28,1,30,1,9,1,6,1,28,2,30,3,28,2,30,1,28,3,30,1,28,1,30,1,28,4,30,3,28,3,6,1,28,1,30,1,28,1,30,1,28,8,30,1,28,1,30,1,28,1,13,1,6,1,28,1,13,1,30,2,28,1,30,3,28,1,6,1,30,3,28,1,30,1,28,1,30,1,6,1,28,1,13,1,6,2,28,2,30,2,28,2,30,2,28,2,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,5,30,1,28,5,30,1,28,2,30,1,28,2,30,2,6,1,30,1,28,3,30,2,28,3,30,1,28,2,30,8,28,2,30,1,28,10,6,1,16,1,17,3,11,1,10,1,9,1,17,30,11,1,17,1,11,1,17,12,11,1,16,1,17,7,11,1,9,1,17,1,11,2,16,1,17,1,12,1,17,1,12,1,24,1,26,1,27,2,29,1,27,2,29,3,26,1,6,1,30,1,29,1,30,1,28,14,9,5,11,1,10,1,11,1,9,1,11,1,9,2,10,1,11,2,17,1,11,3,9,1,10,1,17,1,11,1,9,1,10,2,9,1,8,1,9,4,11,2,17,4,16,1,17,1,9,1,11,1,16,1,17,1,11,1,17,3,11,1,10,1,11,1,17,1,11,1,13,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,2,29,1,30,2,28,1,30,5,29,1,30,1,29,1,30,3,6,1,30,4,28,2,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,3,6,1,28,1,30,2,28,1,6,1,30,3,28,1,30,1,28,4,30,1,28,1,6,1,28,1,29,1,28,2,30,1,28,1,13,1,30,1,6,1,30,1,6,1,29,1,6,2,13,2,6,1,9,1,13,1,10,1,9,2,8,1,9,3,13,1,9,1,13,1,10,1,17,2,11,1,10,1,11,1,13,4,7,1,9,2,30,1,6,4,30,1,29,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,1,29,1,30,1,28,2,30,1,28,2,6,1,13,3,8,3,9,1,8,1,13,2,9,1,13,7,8,1,13,4,9,1,13,1,7,1,6,1,13,1,7,1,13,2,8,1,13,2,8,1,13,2,8,3,11,2,10,1,9,1,12,1,16,2,17,1,11,1,17,1,12,1,11,1,12,1,11,1,10,1,11,2,9,3,10,1,13,2,8,1,6,1,13,4,7,1,6,3,30,1,6,1,29,2,6,3,30,1,28,1,30,1,6,1,30,1,28,1,30,2,29,1,30,2,28,3,30,1,6,1,30,1,28,1,30,2,28,3,30,1,28,3,29,1,28,1,30,2,13,1,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,10,30,1,28,6,30,1,28,2,30,2,28,1,30,3,28,10,30,3,6,1,28,1,30,3,6,1,30,1,6,1,30,1,7,1,6,1,30,1,6,1,29,1,13,1,6,2,13,1,8,1,13,2,7,1,8,1,13,2,8,1,11,1,8,1,13,1,9,2,10,1,12,1,17,3,11,1,17,2,16,1,17,1,13,5,6,2,7,1,6,1,13,1,6,1,29,1,13,1,30,1,8,1,13,1,30,1,6,1,30,1,29,1,6,1,28,1,30,2,28,8,6,1,28,7,29,1,28,2,30,3,6,1,28,2,6,3,30,3,6,1,13,1,29,1,13,1,6,1,29,1,6,1,29,2,6,1,29,1,6,1,29,1,6,2,13,1,30,1,29,1,13,1,6,1,13,1,6,1,7,3,13,1,6,3,13,1,6,1,13,1,8,1,13,1,8,2,13,2,6,1,13,1,8,1,6,1,13,4,6,1,8,1,13,2,8,1,6,1,9,1,13,1,8,1,9,4,10,1,9,1,8,2,9,1,8,3,13,1,9,1,13,1,9,2,8,2,9,1,13,2,8,1,9,1,8,1,13,1,11,1,9,1,8,1,13,1,10,1,13,1,9,2,13,1,8,2,9,2,13,1,10,1,9,6,11,1,12,1,9,1,10,1,17,6,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,2,11,2,16,3,17,1,11,1,16,4,11,1,16,1,11,1,16,1,9,2,16,2,17,1,16,1,11,2,16,1,11,1,17,1,16,1,11,2,9,1,16,5,11,2,9,3,11,2,9,1,10,2,11,1,10,1,12,1,11,1,10,1,11,2,9,2,11,1,9,1,16,2,9,1,17,1,9,1,6,1,13,2,6,1,13,2,6,1,13,3,6,4,30,2,28,1,30,1,28,3,30,4,29,1,13,1,28,16,13,1,17,1,16,1,8,2,13,1,6,1,29,1,6,1,28,1,30,3,28,7,30,1,28,1,30,3,8,1,12,1,11,1,16,1,11,1,17,2,8,1,28,6,13,2,8,1,28,42,29,2,7,1,28,2,13,1,17,4,7,1,30,1,28,1,6,1,29,1,6,2,8,1,9,1,16,1,17,1,6,1,28,22,}, {9,1,6,2,13,1,28,1,30,2,28,2,29,1,10,1,15,1,30,1,28,52,30,1,13,1,9,1,10,1,7,1,13,1,29,1,30,1,13,1,9,1,17,1,8,1,7,1,8,1,13,1,8,1,9,1,17,1,12,1,11,1,16,1,17,5,9,1,13,1,6,1,28,3,30,1,9,3,13,1,8,2,13,1,8,1,11,1,17,6,13,1,10,1,13,1,9,2,13,1,11,1,17,1,11,1,17,1,8,1,29,1,13,1,6,1,29,1,6,2,13,1,29,1,28,37,6,1,8,1,10,1,12,1,9,1,28,1,6,1,30,3,6,1,13,1,17,6,16,1,9,1,11,1,8,1,13,1,6,1,8,1,6,1,29,1,7,1,6,2,28,1,13,1,6,1,8,1,24,1,9,3,8,1,9,1,11,2,17,2,6,1,28,17,30,2,6,1,30,1,29,1,6,1,30,1,28,1,6,2,29,1,13,1,6,1,29,2,6,1,30,1,6,1,29,1,6,1,30,1,29,1,6,6,30,2,13,1,8,1,9,1,13,3,8,1,13,1,9,1,13,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,7,1,8,2,9,2,13,1,9,1,13,2,9,1,13,1,10,1,8,1,9,6,13,1,9,3,10,1,9,1,13,2,9,1,13,1,10,1,11,1,7,1,6,1,7,1,13,3,8,2,9,1,13,1,8,2,9,1,24,1,13,1,9,1,10,1,9,3,16,2,11,1,17,3,16,2,17,10,16,1,17,5,16,2,17,9,13,1,8,1,10,1,17,4,11,1,12,1,9,1,10,1,11,1,10,1,9,1,8,2,9,2,8,1,9,1,13,1,8,1,24,1,8,1,9,1,13,1,8,1,24,1,8,1,13,2,8,1,13,1,8,1,13,2,6,1,13,1,7,1,8,1,29,1,13,1,7,1,13,5,29,1,13,1,6,1,7,1,13,1,7,1,6,5,7,2,6,1,7,1,30,1,7,1,29,1,6,1,30,1,29,2,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,30,3,28,1,30,2,29,1,6,2,30,3,6,1,29,1,6,2,7,2,6,3,30,1,6,3,29,1,6,1,7,1,6,1,8,1,13,3,6,1,7,2,13,5,7,2,8,1,13,2,6,1,13,1,6,1,13,1,6,3,13,1,11,1,30,1,7,1,6,3,7,1,6,3,13,1,6,1,13,4,7,1,6,1,13,1,6,1,29,1,6,1,30,1,29,1,7,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,6,1,28,1,7,1,29,1,30,1,6,1,30,1,28,1,29,1,30,1,29,1,28,4,30,1,6,1,28,3,30,1,28,1,30,1,28,1,6,1,30,1,6,5,7,2,13,1,24,1,10,1,6,4,29,1,6,1,7,1,6,1,30,1,29,2,6,2,7,1,6,1,29,1,6,1,7,1,13,2,8,1,9,1,17,2,11,1,24,1,9,1,8,2,7,1,13,2,8,1,13,1,7,2,8,1,13,3,7,1,13,4,6,1,7,2,13,1,8,3,7,1,8,1,7,1,8,1,13,3,6,1,29,1,6,1,13,1,6,1,28,1,6,1,7,1,29,1,7,1,6,1,30,1,7,1,6,2,13,1,6,1,30,1,6,1,29,1,7,1,13,1,7,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,30,1,6,1,30,1,6,2,29,1,6,4,7,2,6,2,30,1,13,1,29,1,6,3,29,1,30,1,29,1,6,2,29,1,6,3,7,1,30,1,6,2,30,1,7,1,6,5,30,1,6,1,30,1,6,2,30,1,6,1,29,1,28,2,30,2,28,5,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,3,30,2,28,1,29,1,28,1,30,1,29,2,6,1,30,1,28,1,29,1,30,2,6,1,29,1,6,1,29,2,6,2,28,1,30,3,29,1,28,2,30,1,28,1,30,1,29,1,28,2,30,1,6,1,29,1,28,1,30,1,28,1,30,6,28,1,30,3,6,1,29,1,6,1,28,1,9,1,8,1,7,1,9,1,8,1,13,3,6,1,29,1,6,1,30,3,6,1,28,1,6,1,30,1,6,1,30,1,6,2,29,1,7,1,30,2,29,2,30,2,13,1,8,1,17,1,9,1,13,1,8,1,13,1,7,1,8,1,13,3,6,1,9,1,13,1,8,3,10,1,24,1,12,4,17,1,10,1,9,1,10,1,12,2,17,18,11,1,17,13,12,1,17,10,11,1,12,1,17,2,12,1,17,1,9,1,12,1,17,2,12,1,9,1,17,4,11,1,12,1,11,1,12,1,9,1,12,1,9,1,8,1,10,1,8,1,13,1,24,1,13,1,8,1,9,1,8,1,13,1,24,1,13,1,9,1,12,1,8,1,11,2,16,1,8,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,5,30,3,29,1,30,1,6,1,30,1,6,2,9,1,17,1,28,2,6,1,29,2,30,3,28,1,30,4,28,1,6,1,9,2,6,1,30,2,28,1,30,3,28,1,29,1,30,1,28,1,29,1,28,1,30,9,28,2,30,3,28,6,30,1,28,2,30,3,28,1,30,1,28,5,30,1,28,6,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,6,1,30,1,29,1,28,1,30,2,28,6,30,1,28,2,30,1,28,1,30,3,28,4,30,1,28,3,30,2,6,1,30,1,28,2,6,1,28,1,6,1,13,2,6,1,30,2,6,1,30,3,6,1,30,1,6,1,30,2,29,1,6,1,30,1,6,5,28,1,6,1,30,1,6,1,13,1,6,2,29,1,30,2,6,1,28,3,30,2,28,3,30,4,6,1,28,4,30,1,28,1,30,1,28,1,7,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,4,30,2,28,1,30,6,28,3,30,2,28,1,6,1,30,2,6,1,9,1,6,2,28,1,30,1,28,1,30,2,28,3,30,3,6,1,28,3,6,1,29,1,30,1,6,1,30,2,28,2,30,2,28,2,29,1,28,3,30,5,28,1,30,3,6,1,30,1,28,1,30,2,28,1,9,1,7,1,28,2,30,1,28,5,30,1,28,1,30,1,28,3,30,2,28,1,30,2,28,7,30,1,28,3,30,1,28,6,30,2,28,1,30,1,28,3,6,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,3,6,1,30,1,28,12,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,12,30,2,28,9,30,1,28,3,29,1,28,1,9,1,6,1,30,1,6,1,28,3,30,2,28,2,30,4,28,1,30,2,28,3,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,2,10,1,6,1,28,2,30,7,28,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,28,2,6,2,30,4,28,1,30,2,28,6,30,1,28,6,30,1,28,1,30,1,28,1,30,2,28,4,30,1,28,13,30,1,28,9,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,5,28,7,30,1,28,11,9,1,11,1,17,3,9,1,24,1,11,1,17,29,16,1,11,1,17,20,11,2,17,1,9,1,11,1,10,1,17,1,11,1,12,1,11,1,12,2,9,1,7,1,27,2,29,1,27,1,26,1,29,2,27,3,28,1,30,1,28,2,30,2,28,11,7,1,8,1,9,2,10,1,11,1,10,1,9,1,11,2,9,4,11,1,12,1,11,1,12,1,10,1,11,1,10,1,11,5,9,3,8,1,9,1,10,2,11,1,17,5,11,1,9,1,11,1,9,1,11,1,16,2,17,1,11,3,17,1,11,1,17,1,9,1,28,5,30,6,28,1,30,3,29,1,30,1,28,1,30,4,6,1,30,4,28,1,29,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,29,1,28,1,30,3,28,1,29,1,30,4,28,1,30,2,29,1,30,2,28,2,30,1,6,1,28,1,30,1,29,2,6,1,29,1,13,1,6,1,13,1,9,1,8,3,13,1,9,2,10,1,9,4,8,1,9,1,17,3,11,1,8,3,13,2,7,1,13,1,8,1,6,4,30,1,28,1,30,1,6,1,30,5,6,1,29,1,6,1,30,3,28,4,30,1,6,2,13,3,8,1,13,3,9,1,13,1,6,1,13,5,8,1,13,4,7,1,13,4,8,1,13,2,8,1,13,2,6,1,13,1,8,2,9,1,13,2,9,3,11,2,9,1,12,1,16,1,11,1,16,2,12,1,11,1,17,1,10,1,11,1,9,3,8,1,9,1,8,1,9,1,8,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,30,1,6,2,30,1,6,2,30,1,29,1,30,3,29,2,30,4,28,3,30,1,28,1,30,1,28,1,30,1,28,1,6,1,7,1,28,6,30,1,28,3,30,2,13,1,6,1,28,1,30,1,28,10,30,1,28,2,30,1,28,2,30,1,28,6,30,1,28,7,30,1,28,1,30,1,28,17,30,2,28,2,30,2,29,1,6,1,30,1,29,1,7,1,30,2,29,1,6,1,30,1,29,1,6,2,29,1,8,2,13,9,10,1,9,1,10,1,13,1,9,1,17,11,9,1,13,2,6,3,28,1,6,1,30,1,6,4,8,1,6,3,29,1,28,1,29,1,30,1,29,1,28,1,30,1,28,3,30,1,28,3,6,1,28,9,30,3,28,2,30,1,28,1,29,1,30,1,29,1,6,1,29,1,6,2,29,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,4,6,1,30,1,6,3,13,1,29,1,7,1,6,5,7,1,13,1,29,1,13,1,8,2,7,1,8,1,6,1,13,1,7,1,13,4,7,1,13,1,8,1,13,5,8,2,13,1,10,1,13,1,8,2,9,3,11,1,9,1,13,1,9,2,13,1,11,1,8,2,9,3,13,2,9,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,9,2,13,1,8,2,9,2,13,2,9,1,13,2,9,1,10,1,9,1,10,1,9,3,11,1,16,3,17,6,16,1,17,2,16,1,17,5,16,1,11,1,17,1,11,1,17,10,11,1,17,1,16,2,10,1,16,2,17,1,11,1,17,4,11,1,16,5,17,1,11,1,17,2,11,2,9,1,17,1,8,1,10,1,12,1,9,1,12,3,11,1,10,2,9,1,10,1,11,1,10,1,12,1,11,1,10,1,9,1,17,3,9,1,13,5,9,2,13,3,30,1,13,1,7,1,8,1,28,1,30,1,6,1,30,3,28,1,30,4,7,1,13,1,28,16,9,1,17,2,11,1,13,3,7,1,30,1,28,1,30,1,6,1,28,9,30,1,28,1,30,2,13,1,9,1,11,1,9,2,11,1,17,1,13,1,28,6,13,1,10,1,6,1,30,1,28,41,13,1,6,1,30,1,28,2,6,1,17,3,16,1,8,1,29,1,30,1,29,1,30,1,6,1,13,1,9,2,17,2,30,1,28,5,29,1,28,1,6,1,28,6,30,1,28,7,}, {16,1,13,1,6,1,13,1,28,1,30,1,28,1,30,1,28,2,10,1,24,1,28,53,13,1,9,1,17,1,8,1,7,1,6,1,28,1,6,1,28,1,13,1,17,1,24,1,6,1,13,1,8,1,24,1,17,1,12,1,16,1,12,1,10,2,17,3,9,1,11,1,8,2,6,1,30,1,28,1,6,1,24,1,9,1,24,1,13,1,8,1,30,1,13,1,6,1,13,1,17,5,12,1,10,1,9,5,12,1,11,1,17,2,8,1,13,1,6,1,29,1,6,2,30,1,28,1,30,1,28,37,13,1,8,2,9,2,6,1,30,1,6,1,29,1,30,1,7,1,13,1,17,6,16,1,8,1,13,1,9,1,13,3,7,2,13,1,29,1,6,2,13,4,8,1,10,1,13,1,9,2,16,1,11,1,16,1,17,1,13,1,28,17,13,1,6,2,29,1,30,2,6,1,28,1,13,1,6,1,13,2,29,1,6,1,7,1,30,1,6,3,29,1,30,1,6,1,13,1,6,2,30,1,6,2,30,2,6,1,13,1,8,1,13,1,8,1,13,3,8,1,13,1,8,5,9,1,8,4,13,1,8,1,13,3,8,1,13,3,9,4,8,1,11,1,8,1,9,1,8,1,10,1,8,1,9,1,13,1,9,2,13,1,10,1,8,1,9,1,8,3,7,1,13,3,8,2,6,1,9,2,13,1,8,3,10,1,9,1,13,1,9,2,12,1,16,1,17,1,16,1,17,21,16,1,17,8,29,1,13,1,7,1,13,1,11,1,16,1,17,4,9,1,10,1,9,4,24,1,9,1,8,4,13,1,8,2,9,1,13,1,8,1,13,1,8,1,13,6,6,1,13,6,6,1,7,2,29,1,6,2,13,1,7,1,13,1,6,3,7,3,6,1,13,1,6,2,13,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,3,29,1,28,1,6,2,29,1,6,1,29,1,6,2,29,1,6,1,29,1,7,1,6,1,29,2,6,1,29,1,30,1,6,1,29,1,6,4,7,1,13,1,6,1,13,1,6,2,13,1,8,1,7,2,13,2,8,1,13,1,7,1,8,1,6,1,8,1,13,1,7,1,6,1,8,1,6,1,13,2,7,1,8,1,13,1,8,1,6,1,8,1,13,2,8,1,13,1,6,1,13,2,9,1,8,1,29,1,28,1,7,1,6,1,29,1,13,1,6,1,7,3,6,1,13,2,8,1,13,3,6,2,7,1,28,1,29,1,6,1,29,2,6,1,30,3,6,1,29,1,6,1,30,1,6,1,13,1,7,1,6,3,13,1,6,1,29,1,30,2,28,4,30,1,28,1,6,1,28,1,30,1,28,2,30,2,6,4,29,1,6,1,7,2,9,1,8,2,10,1,13,1,29,1,6,5,7,1,6,2,30,1,6,2,29,2,6,1,30,1,13,3,8,1,24,1,12,2,9,1,11,1,9,1,13,1,8,2,13,1,7,1,29,1,13,5,7,1,13,1,8,1,13,1,9,2,7,1,13,3,8,1,6,1,7,1,13,4,7,1,13,1,6,1,7,1,13,6,7,1,6,4,13,2,7,1,6,3,13,1,29,1,6,1,7,1,29,1,6,7,29,1,7,2,6,4,7,1,6,1,29,1,6,3,30,1,6,1,7,1,13,1,7,1,6,1,29,1,6,3,29,3,6,2,29,2,6,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,29,3,6,1,7,1,6,1,30,3,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,4,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,3,30,4,29,1,30,1,29,1,30,4,29,2,6,1,29,1,30,1,6,1,7,1,30,1,28,1,30,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,2,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,13,1,8,1,9,1,13,1,8,1,9,2,13,2,6,1,30,2,29,2,6,1,29,2,6,1,30,7,6,1,30,1,6,1,30,1,6,1,29,1,28,1,13,1,9,1,12,1,10,1,13,1,9,1,6,1,7,1,8,3,13,2,8,1,13,1,8,1,24,1,8,1,13,1,8,1,10,1,11,2,10,1,11,1,9,2,11,1,12,1,17,1,12,1,17,39,12,1,17,2,11,1,12,1,17,4,12,3,17,2,12,1,17,1,12,3,17,1,11,1,12,1,9,3,11,1,8,1,9,1,8,1,9,1,24,1,13,1,9,1,13,1,9,1,8,2,9,1,8,1,9,1,10,1,17,1,9,1,6,2,28,10,30,1,28,3,30,2,6,1,28,2,30,2,28,1,30,3,6,1,9,1,17,1,13,1,30,3,28,1,30,3,29,1,6,1,30,2,29,1,6,1,13,1,7,1,30,1,6,1,28,2,6,1,30,2,28,1,30,2,28,4,30,1,28,2,30,5,28,2,30,1,28,2,30,2,28,5,30,1,6,1,28,2,30,1,28,3,30,1,28,10,30,1,28,1,30,1,6,1,30,3,6,2,30,2,28,1,30,4,28,3,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,1,30,3,28,2,30,1,28,1,30,2,28,1,29,1,28,1,6,3,30,1,13,2,29,1,30,5,28,1,30,6,6,2,30,3,7,1,30,1,6,1,30,1,6,1,7,1,30,3,6,2,30,3,28,1,30,3,28,3,30,1,28,8,30,1,28,1,30,3,28,5,30,1,28,1,30,2,28,8,30,2,28,1,30,1,28,3,30,1,28,3,30,3,28,3,13,1,29,1,28,1,6,1,9,1,13,1,6,2,28,1,30,1,28,2,30,4,29,1,30,2,6,1,29,1,6,1,28,1,30,1,6,1,28,1,30,1,13,1,30,2,28,1,30,1,28,2,6,2,30,2,28,1,30,1,28,1,30,1,28,4,30,1,6,1,30,1,6,1,30,1,6,1,30,1,13,2,30,2,28,5,30,1,28,2,30,1,28,1,30,5,28,2,30,2,28,10,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,2,6,1,28,1,30,1,28,9,30,2,28,5,30,1,28,5,30,1,28,1,30,2,28,20,30,1,28,4,30,1,28,2,13,2,6,1,28,2,30,2,28,4,30,2,28,3,30,1,28,6,30,2,28,2,30,1,28,2,30,1,28,2,30,1,28,6,30,1,28,3,16,1,28,3,30,1,6,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,28,10,30,1,28,6,30,1,28,1,30,1,28,3,30,1,28,4,6,2,28,9,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,3,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,2,30,2,28,10,13,1,9,1,17,4,9,1,10,1,17,31,16,1,17,1,16,1,17,17,11,1,9,1,11,2,12,1,11,1,16,1,17,1,12,1,17,2,12,2,8,1,27,8,29,5,28,2,30,1,28,12,7,1,9,2,8,1,11,1,9,1,10,1,8,1,9,1,11,1,9,1,11,1,9,1,10,3,12,1,11,1,10,1,11,4,17,1,9,1,8,1,10,1,8,1,9,2,11,1,9,1,11,1,17,1,16,1,17,4,11,1,10,2,17,1,11,1,17,2,12,1,17,1,9,1,10,1,11,1,17,1,11,1,30,2,28,1,30,5,28,1,30,2,28,2,30,3,6,1,30,2,29,1,30,1,29,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,6,1,28,3,30,3,28,4,30,3,28,1,30,1,29,1,28,1,30,1,28,1,29,1,6,2,30,4,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,29,1,30,2,6,1,30,1,13,1,6,1,13,4,8,1,9,3,8,1,9,1,8,1,9,1,13,1,9,1,8,1,17,3,11,1,9,2,13,2,6,2,13,2,30,2,28,1,6,2,29,1,6,4,30,2,28,1,30,1,6,2,28,1,30,1,28,2,30,3,6,1,7,1,13,5,8,2,7,1,13,1,6,1,13,2,9,1,13,1,8,2,13,2,7,1,13,1,7,1,13,2,7,1,13,3,7,1,13,4,8,1,13,1,8,1,13,1,8,1,9,4,11,2,9,1,12,1,16,1,11,1,12,1,17,1,11,3,9,1,11,1,9,1,11,1,8,1,10,1,8,2,13,6,7,1,6,5,28,1,7,1,6,1,30,5,6,1,28,1,30,2,28,1,30,1,29,1,30,1,28,5,30,2,28,1,6,1,28,1,6,2,28,2,30,1,28,4,30,1,29,1,6,1,29,1,30,3,28,7,30,1,28,7,30,1,28,14,30,2,28,7,30,2,28,8,30,1,28,3,6,1,30,5,6,1,30,2,29,1,30,1,29,1,6,1,30,1,6,2,7,2,13,2,6,1,9,1,13,2,8,1,13,1,8,1,13,2,8,1,11,1,17,1,11,2,17,10,16,1,11,1,13,1,7,1,6,2,29,1,13,1,6,4,28,1,13,2,6,1,29,2,30,3,28,3,30,1,28,7,13,1,28,8,30,1,28,2,29,1,30,2,6,1,30,2,29,1,6,2,29,1,6,2,30,1,6,1,30,2,6,1,29,1,30,6,6,1,29,1,30,1,28,1,7,1,30,1,29,1,13,2,30,1,6,3,13,1,6,3,13,1,9,1,13,2,6,1,13,4,30,1,13,1,6,1,13,2,6,1,13,1,7,1,13,2,7,1,8,1,6,1,9,1,6,1,13,1,6,1,8,1,9,1,8,2,10,1,9,2,13,1,9,7,13,1,8,1,13,1,9,1,13,1,9,3,8,2,9,1,8,1,9,1,8,1,13,1,9,2,13,1,9,4,8,1,13,1,9,1,8,1,13,2,9,1,10,1,13,1,10,1,9,1,13,1,11,2,9,1,16,1,9,1,17,2,16,1,17,1,16,1,17,10,16,1,17,1,11,2,17,1,16,1,17,4,16,5,17,1,10,1,16,1,17,1,16,2,17,1,11,1,17,1,16,1,17,1,11,3,17,1,11,1,16,1,11,2,16,1,17,1,11,2,16,1,11,1,16,2,11,1,17,1,11,1,12,1,10,1,12,2,16,1,9,1,11,1,10,1,9,1,11,2,9,2,11,1,9,1,13,7,8,1,13,4,7,1,6,3,29,1,30,1,6,1,30,5,6,1,13,2,28,16,11,1,17,2,11,1,13,1,7,2,6,1,29,1,28,1,6,2,28,9,30,1,28,2,30,1,6,1,9,1,17,1,10,1,11,1,13,1,17,1,13,1,28,5,6,1,8,1,9,1,13,1,28,42,13,2,29,1,28,3,17,4,13,1,28,1,29,1,6,1,29,1,13,2,9,2,17,2,28,6,30,2,6,1,28,14,}, {9,1,8,1,7,1,6,1,28,1,29,2,28,3,8,1,9,1,28,52,30,2,8,1,10,1,24,1,8,1,6,1,28,1,6,1,30,1,13,1,17,1,9,1,8,1,7,1,8,2,24,1,12,1,17,1,10,1,16,1,11,1,17,1,16,1,17,2,11,1,8,1,6,1,28,1,30,1,29,1,28,1,8,1,12,1,10,1,13,1,8,1,13,2,7,1,9,1,17,4,11,2,9,1,8,1,13,2,9,1,16,1,12,2,17,2,9,1,30,1,29,1,7,1,6,1,29,1,6,1,13,2,28,36,30,1,7,1,8,1,9,3,6,1,30,2,6,3,13,1,17,9,9,1,8,1,13,1,8,1,7,2,13,3,24,1,6,1,8,3,9,1,11,1,8,3,11,1,12,1,10,1,17,1,8,1,28,17,13,1,6,1,29,1,6,3,13,1,6,2,7,1,13,2,6,5,29,1,30,1,29,1,30,2,6,2,30,1,29,1,6,3,30,1,13,1,8,1,13,3,9,1,7,1,8,1,13,2,9,2,8,2,9,1,13,5,8,1,13,1,8,2,13,1,9,1,13,1,8,1,9,1,11,1,10,1,11,1,9,7,13,1,9,2,8,1,9,2,13,1,8,1,9,1,8,4,9,2,13,5,8,1,9,2,8,1,11,1,24,1,9,2,11,1,10,1,16,1,10,1,11,1,17,2,11,1,17,26,16,2,13,1,29,1,6,2,30,1,13,1,10,1,17,3,11,1,17,1,10,1,11,1,8,1,10,1,9,1,8,1,10,1,9,1,11,1,10,1,11,1,10,1,9,1,8,2,24,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,13,2,7,1,13,7,30,1,13,1,7,1,6,1,13,1,6,1,13,2,6,2,13,1,6,1,30,1,7,1,13,1,6,1,7,1,6,2,30,1,7,1,29,1,30,1,6,2,29,1,30,1,6,10,29,1,6,1,29,1,6,4,7,1,6,1,7,1,6,1,7,1,6,1,7,1,13,1,6,3,13,1,7,3,13,2,8,1,13,2,8,1,7,1,13,6,7,2,29,1,8,1,13,2,8,1,13,2,7,1,8,1,13,4,7,1,13,1,8,2,13,1,7,1,13,1,6,1,30,1,13,1,7,1,13,1,8,1,13,1,24,1,13,5,7,1,6,1,13,1,6,3,30,2,29,1,30,3,6,1,30,1,7,1,29,1,6,2,13,1,7,1,6,1,30,1,6,1,30,1,6,1,7,1,30,3,28,2,30,1,29,1,30,1,28,4,30,1,28,3,30,1,6,1,30,2,6,1,30,1,13,1,7,1,13,1,7,1,11,1,8,1,13,1,29,1,30,1,29,1,6,2,29,1,7,1,30,1,6,2,30,2,6,1,13,1,6,2,7,1,6,1,8,1,13,1,8,1,10,1,17,2,11,1,24,1,8,2,13,1,7,1,13,3,7,1,13,1,7,1,13,3,8,1,13,2,6,1,13,1,7,2,13,1,8,1,6,1,13,2,7,2,6,1,13,1,6,1,7,1,13,2,6,1,13,1,6,3,13,2,7,1,13,1,6,3,8,1,7,1,6,1,29,2,6,2,30,3,6,4,13,1,6,3,7,1,6,1,30,1,6,2,13,1,6,3,7,1,6,3,30,1,29,1,30,1,6,4,30,1,28,1,29,1,6,2,30,2,7,1,30,1,6,5,29,1,30,2,29,2,6,3,30,3,6,2,30,5,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,6,1,30,5,29,2,30,4,6,1,28,1,6,1,29,1,28,1,30,1,28,2,6,1,30,1,28,3,30,1,28,1,6,1,28,1,30,1,6,1,29,1,28,4,30,2,28,1,30,2,28,2,30,2,6,1,30,1,28,1,8,2,13,3,8,1,9,1,8,2,9,1,7,1,30,6,28,1,6,2,30,2,28,1,30,1,6,1,28,1,6,2,29,1,30,3,29,2,28,1,16,1,12,1,11,1,13,3,6,1,13,1,6,1,13,1,24,1,13,1,8,1,13,2,8,2,24,2,9,1,24,1,10,1,12,1,10,1,9,3,17,3,12,1,17,10,12,1,17,9,11,1,17,15,11,1,17,2,12,1,17,1,12,3,17,3,11,1,12,1,10,1,17,1,12,1,17,3,12,2,9,1,12,2,9,2,11,1,24,1,11,1,9,1,13,1,12,1,9,1,24,1,9,1,8,2,9,2,24,1,9,1,11,1,17,1,9,1,6,1,30,1,28,1,30,2,28,13,6,1,30,3,28,1,30,3,6,1,13,1,30,2,13,3,29,1,6,1,30,1,28,1,6,1,28,3,6,1,13,2,6,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,4,28,1,30,3,28,1,30,1,28,5,30,1,28,7,30,3,28,3,30,1,28,1,30,1,28,3,30,2,28,3,7,1,6,1,28,1,30,2,28,1,30,8,28,5,30,1,28,5,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,2,29,1,28,1,30,1,28,2,30,1,6,1,29,1,30,1,29,1,30,1,6,1,29,1,30,1,29,1,6,1,30,3,6,1,28,2,30,1,28,1,30,2,28,1,29,1,6,1,28,1,29,1,30,2,6,2,30,2,28,1,30,5,29,1,6,1,28,2,29,1,28,1,30,1,28,4,30,2,28,1,30,1,28,3,30,1,29,1,28,1,29,1,28,7,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,2,6,1,30,1,28,1,30,1,6,1,9,1,13,1,6,1,30,1,6,2,13,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,13,1,28,1,30,3,6,1,30,2,28,1,6,1,30,1,28,3,6,1,30,3,28,1,30,1,29,1,28,2,30,5,29,1,30,1,28,3,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,9,1,6,1,28,13,30,1,28,1,30,3,28,1,30,2,28,5,30,1,28,4,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,4,29,1,30,3,28,20,30,1,28,3,30,1,28,9,30,1,28,7,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,3,9,1,6,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,3,6,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,6,30,3,28,1,30,1,28,2,11,1,28,6,30,1,28,2,30,1,28,2,30,1,28,7,7,1,30,1,28,13,30,1,28,7,30,1,28,12,6,1,9,1,28,16,30,3,28,1,30,2,28,1,30,1,28,5,30,1,28,6,30,1,28,6,30,1,28,8,30,1,28,1,6,1,8,1,17,5,11,1,17,35,16,1,17,15,11,7,17,4,11,1,12,1,8,1,26,2,27,5,30,1,27,1,29,3,30,1,28,1,30,1,28,13,30,1,13,1,9,2,11,1,9,1,11,1,9,1,11,1,10,1,9,2,11,1,12,1,11,2,17,1,9,1,10,1,11,1,10,1,17,1,11,2,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,17,1,11,1,17,2,16,2,11,4,17,4,11,1,17,1,10,1,11,1,9,1,12,1,6,1,28,3,30,1,28,2,30,2,28,1,30,1,28,4,30,4,28,2,29,1,6,1,30,1,28,2,30,1,28,1,29,1,30,1,28,2,30,2,28,1,30,3,28,2,30,3,6,1,29,1,30,1,29,1,30,5,28,1,30,3,29,1,30,3,28,1,30,1,28,2,29,1,30,1,28,1,30,1,28,4,6,1,30,2,6,1,28,1,29,2,13,1,6,1,13,1,7,1,8,1,13,1,8,3,11,1,9,3,8,1,9,2,11,1,17,2,12,1,8,1,10,1,6,1,13,1,6,1,13,3,6,3,29,1,30,1,6,1,29,1,30,5,29,1,30,3,29,1,30,2,28,3,30,1,6,1,8,1,13,3,8,1,6,1,13,1,6,1,7,1,13,2,6,1,7,2,6,1,13,1,6,1,8,1,13,1,6,1,13,1,7,1,6,1,13,2,7,1,13,2,6,1,13,3,8,1,13,1,7,1,8,1,9,1,7,1,9,1,8,2,9,3,11,1,17,1,10,1,11,2,17,1,10,1,11,2,8,1,11,1,8,1,9,2,8,1,13,1,8,2,13,2,7,1,6,1,7,1,6,4,7,1,6,1,13,1,30,1,6,1,30,1,6,1,29,1,6,1,30,5,28,1,30,1,28,2,6,1,28,1,30,1,28,1,30,6,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,28,1,30,3,28,3,30,1,28,9,30,1,28,8,30,1,28,19,30,1,28,7,30,1,28,3,30,1,7,1,30,6,6,2,29,1,30,1,7,1,30,1,7,1,13,1,6,1,13,1,6,2,13,1,8,1,13,2,8,1,13,1,8,1,9,1,17,1,11,1,17,1,11,1,17,12,11,1,13,1,30,1,6,1,29,1,6,2,30,2,6,1,7,1,13,1,30,3,28,1,30,2,28,3,30,1,28,10,30,2,28,10,30,1,28,3,30,1,29,1,30,2,6,1,30,1,6,2,29,1,6,1,29,1,30,1,6,1,7,1,30,2,6,2,29,1,30,1,6,1,30,2,6,3,13,1,6,1,30,1,7,1,6,1,29,2,7,1,30,1,13,6,6,1,13,1,6,2,13,1,6,5,13,1,7,2,13,2,7,1,13,1,7,1,13,5,8,2,9,1,8,1,9,2,13,1,8,2,9,1,8,1,9,1,13,1,8,1,13,1,9,3,13,1,9,1,13,1,8,1,9,2,8,1,9,2,13,2,8,1,9,1,13,1,9,1,8,1,13,1,9,2,8,1,9,1,11,1,8,1,9,4,10,1,9,4,11,2,16,1,17,1,16,2,17,2,16,1,17,2,16,1,17,5,16,1,17,10,16,1,17,1,16,1,17,2,16,1,17,4,16,3,17,1,16,4,17,2,16,1,17,1,10,1,17,1,16,1,11,1,16,2,12,1,17,1,16,2,17,1,11,1,17,1,12,1,16,2,9,1,11,1,16,1,10,1,11,1,10,1,11,1,17,2,8,1,13,5,8,1,13,3,8,1,13,3,7,1,13,1,6,1,13,1,30,1,28,1,6,1,30,1,28,1,30,1,6,2,7,1,9,1,28,16,16,1,17,1,9,2,13,1,7,1,24,1,8,1,30,1,28,1,30,1,28,9,30,1,28,1,30,1,7,1,6,1,9,4,11,2,17,1,30,1,28,6,13,1,9,1,13,1,28,42,29,2,28,4,17,3,11,1,13,1,30,1,29,1,6,3,13,2,9,1,17,1,9,1,30,1,28,6,7,1,28,15,}, {9,1,8,1,13,2,6,1,30,1,28,1,29,1,28,1,6,1,8,1,10,1,28,53,29,1,12,1,8,1,12,1,6,1,7,1,30,1,8,1,6,1,13,1,9,1,17,1,8,1,24,1,8,1,24,1,9,1,16,2,17,6,11,1,10,1,9,1,13,1,28,1,29,1,30,1,29,1,24,1,11,1,9,1,24,1,29,1,30,1,13,1,6,1,13,1,17,5,10,1,12,1,13,2,9,1,24,1,9,2,12,1,17,2,9,1,13,1,29,1,6,2,28,1,8,1,13,2,28,37,13,1,24,1,8,1,11,1,8,1,13,1,30,2,6,4,11,1,17,6,11,1,10,1,9,1,8,1,13,2,8,1,13,1,7,2,28,1,8,1,29,1,6,1,13,1,24,1,8,2,9,1,8,1,9,1,11,1,17,1,11,1,17,1,7,1,28,17,6,1,13,1,6,1,30,2,29,1,6,3,7,1,13,2,7,1,6,3,13,1,30,1,6,1,29,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,2,9,4,13,1,9,1,13,2,8,1,13,1,9,1,13,2,8,2,13,1,8,1,13,1,9,2,13,1,10,1,8,1,13,3,9,1,10,1,8,1,9,3,8,1,9,2,10,1,13,1,9,2,11,1,8,1,9,1,8,1,9,1,13,1,8,1,13,3,9,1,13,1,8,1,13,1,8,1,9,1,13,1,8,1,9,1,13,2,9,2,13,1,16,1,13,1,8,1,10,1,12,1,11,3,17,31,16,1,13,2,6,2,7,1,6,2,8,1,11,1,17,2,12,1,11,1,10,1,8,1,11,1,10,1,13,1,9,2,8,2,13,1,9,1,8,1,9,1,8,1,9,2,8,2,13,1,9,1,13,2,8,1,7,1,13,7,6,2,13,1,7,1,13,1,6,1,7,1,13,1,6,1,7,1,6,1,13,2,6,2,7,1,6,1,7,1,6,4,7,1,6,2,29,6,30,1,7,1,30,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,7,1,29,1,7,1,29,1,6,1,30,1,6,2,7,1,13,1,6,4,13,2,7,1,6,1,7,1,13,2,7,1,13,1,7,1,8,1,13,4,6,1,13,4,29,1,13,2,7,1,8,1,13,3,8,2,6,1,13,3,7,1,24,1,13,1,8,2,13,1,7,2,13,4,30,1,7,1,9,1,8,1,6,1,13,3,7,3,6,3,7,1,6,1,30,7,29,2,30,1,6,1,30,1,7,1,13,1,30,1,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,2,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,7,1,6,1,7,1,30,1,6,1,7,1,13,1,9,2,13,1,6,1,30,1,7,1,29,1,6,4,29,1,30,2,6,2,30,1,29,1,6,1,29,1,7,2,13,2,9,1,12,2,17,1,9,2,13,1,8,1,7,1,13,1,6,1,13,1,7,1,8,1,13,1,7,1,9,1,13,3,7,1,6,1,13,1,6,1,7,3,6,1,7,1,6,1,8,1,24,1,13,1,6,1,13,2,7,2,8,1,13,3,7,1,13,2,7,2,13,1,6,1,13,1,6,1,7,1,29,1,7,1,6,1,28,1,13,1,6,1,7,1,6,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,7,1,13,2,6,2,7,1,29,1,6,1,30,1,6,2,13,1,6,2,29,1,7,1,6,3,7,2,13,1,7,1,6,1,29,3,30,2,6,1,30,1,6,1,29,1,30,1,6,4,7,1,30,1,6,2,13,1,6,1,30,3,29,1,6,1,30,4,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,9,30,2,28,1,30,2,6,2,28,1,6,1,30,2,6,1,28,1,6,2,7,1,28,1,30,2,29,1,6,1,30,2,28,5,30,2,28,1,30,1,29,1,28,2,30,7,28,1,29,1,28,1,30,1,28,1,30,1,6,1,8,1,13,2,6,1,13,1,9,3,13,1,8,1,13,1,6,1,30,1,6,2,30,3,29,1,6,2,29,1,30,2,6,1,30,5,29,1,30,1,29,3,13,1,8,1,12,1,11,1,13,1,6,1,7,1,13,1,8,1,13,5,8,1,13,1,8,1,13,1,8,1,13,1,9,1,24,2,9,1,12,1,10,1,9,1,10,2,11,1,17,29,12,1,17,8,12,1,17,1,12,1,11,1,17,2,12,1,9,1,17,2,12,1,17,1,12,1,17,1,12,2,17,1,11,1,9,1,11,1,17,1,10,1,9,1,10,1,11,1,9,1,11,1,9,1,8,1,9,2,8,3,9,2,12,1,8,1,11,1,10,1,9,1,17,1,6,2,29,1,28,3,30,2,28,6,30,1,28,3,30,2,28,1,30,1,28,1,30,4,6,3,13,2,28,1,30,1,6,3,13,1,30,2,7,1,13,3,6,1,28,2,30,4,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,3,30,1,28,6,30,1,28,2,30,1,28,11,30,1,28,5,29,1,28,1,30,1,28,4,30,2,28,3,13,1,6,1,30,5,28,1,30,1,28,2,30,2,28,2,30,1,28,9,30,1,28,4,30,2,28,2,30,1,28,2,30,2,28,5,30,3,28,1,30,1,6,3,29,2,30,2,6,1,30,7,6,1,30,4,6,1,30,1,6,2,30,1,6,1,30,1,28,1,30,4,13,1,30,5,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,9,1,30,2,28,1,30,1,28,2,30,2,28,2,30,1,28,3,30,1,28,7,6,1,28,1,29,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,9,1,13,2,28,1,6,1,28,1,6,1,13,2,30,1,28,2,30,1,28,3,30,1,29,1,30,2,29,2,6,2,30,1,6,1,30,1,6,1,28,1,6,3,30,1,28,2,30,4,29,1,28,1,6,1,28,1,30,1,28,1,6,1,30,2,6,1,30,2,28,7,6,1,13,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,11,30,1,28,1,30,1,28,2,30,2,28,4,30,1,28,1,30,2,28,1,29,1,28,2,30,1,28,3,30,2,28,14,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,21,30,1,28,5,30,1,28,3,30,1,13,2,6,1,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,5,30,2,28,6,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,4,9,1,30,3,28,2,30,1,28,13,6,1,30,1,28,21,30,1,28,2,30,1,28,1,30,1,28,9,6,1,28,13,30,1,28,2,30,4,28,2,30,1,28,2,30,1,28,4,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,4,30,2,28,4,30,1,13,1,10,1,17,4,12,1,9,1,17,51,11,2,17,6,12,1,17,2,12,1,9,1,8,1,26,1,25,1,27,1,29,1,27,1,26,1,27,2,29,2,30,2,28,16,13,1,11,1,9,3,11,2,9,3,8,2,10,1,12,1,11,2,17,1,11,2,12,1,11,2,17,1,11,2,10,1,9,2,11,1,9,1,10,1,16,1,11,1,17,2,12,1,17,1,11,4,16,1,17,3,16,1,17,2,9,1,17,1,11,1,9,1,13,1,30,1,29,1,30,1,28,3,30,2,28,4,29,1,30,2,29,2,30,3,28,1,30,2,6,1,30,2,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,29,1,28,1,30,3,28,2,30,1,29,1,30,1,28,6,30,1,28,4,30,1,28,1,30,1,29,1,30,1,7,1,29,1,13,1,6,1,13,1,8,2,13,1,9,3,11,1,9,4,8,2,9,1,17,3,9,1,10,1,13,1,6,1,29,1,13,1,6,1,9,1,6,2,30,1,6,1,30,3,6,1,28,1,13,1,29,1,30,2,6,1,30,4,28,1,30,1,28,1,30,2,6,1,13,3,7,1,13,1,6,1,7,1,6,1,7,2,6,1,13,1,30,1,13,1,7,1,6,1,13,1,7,3,13,2,6,1,13,1,6,1,13,2,6,1,13,6,9,1,6,1,8,1,13,2,8,1,13,1,9,2,11,1,9,1,10,1,9,1,10,1,16,1,9,2,8,1,9,4,8,3,13,1,8,1,13,4,6,2,13,1,7,2,30,1,6,1,30,1,6,3,30,1,6,1,29,1,28,1,30,1,29,2,30,1,6,1,30,3,28,5,30,1,29,1,30,1,28,3,30,4,28,2,30,1,6,1,28,4,30,2,28,2,29,1,28,1,30,1,28,8,30,1,28,15,30,2,28,15,30,2,28,1,30,1,28,1,30,2,28,1,29,1,30,3,28,1,30,2,28,1,6,1,30,1,28,1,30,1,6,1,7,1,29,1,7,1,29,2,13,8,8,1,13,2,10,1,17,17,16,1,9,1,6,5,30,1,7,1,13,2,30,1,28,1,30,1,29,1,28,1,29,1,30,4,28,10,30,1,28,5,30,1,28,6,30,2,28,4,30,2,6,1,28,1,30,2,6,2,28,1,29,1,28,1,30,1,6,1,30,2,29,1,30,2,28,1,6,2,28,1,6,2,7,1,6,1,7,1,30,1,29,1,6,1,29,1,13,1,6,1,13,1,7,1,6,3,13,2,6,1,8,1,7,1,13,1,6,1,7,1,13,1,6,1,13,2,6,1,13,4,6,1,13,3,6,1,9,1,13,2,8,1,13,2,9,3,8,1,13,1,9,1,8,1,11,1,9,1,8,1,13,1,8,2,13,1,9,7,6,1,8,1,9,3,8,1,13,1,8,1,9,4,13,1,10,1,9,1,13,1,11,2,8,1,9,4,10,1,9,1,16,1,9,1,16,1,11,1,17,4,16,1,17,1,16,1,17,5,16,1,17,2,12,1,17,8,16,2,17,3,16,3,17,3,16,1,17,1,16,1,11,1,17,1,11,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,2,17,2,16,1,17,1,16,1,17,1,11,1,17,1,11,4,16,1,11,1,16,1,9,1,17,1,11,1,16,2,9,1,8,1,6,1,13,5,8,1,9,1,13,1,8,1,7,1,13,3,7,2,6,4,30,1,13,1,6,1,13,1,9,1,13,1,28,16,9,1,17,1,9,2,13,1,8,1,13,1,6,1,28,1,30,1,28,8,30,1,28,3,6,1,28,1,6,1,8,3,11,3,17,1,13,1,28,5,6,1,8,1,17,1,7,1,28,42,13,1,6,1,30,1,28,2,30,1,17,3,8,1,30,1,29,3,30,1,6,1,8,1,9,2,17,1,9,1,28,23,}, {9,1,13,1,7,1,8,1,6,1,29,1,28,1,6,1,28,1,29,1,6,1,17,1,13,1,28,52,30,1,13,1,9,1,17,1,13,1,29,1,13,1,6,1,13,1,9,1,12,1,11,1,8,1,7,1,13,2,24,1,9,1,17,9,8,1,7,1,29,1,28,1,29,1,13,2,12,2,7,1,13,1,7,1,6,1,28,1,13,1,16,1,17,4,11,1,16,1,8,2,13,1,8,1,9,2,17,3,9,1,6,2,30,1,6,1,28,1,13,1,7,1,11,1,28,35,30,2,6,2,10,1,12,2,7,1,6,1,30,1,6,4,16,1,17,4,16,1,17,2,11,1,16,1,8,2,13,1,6,1,29,1,13,2,29,1,6,1,30,1,13,1,7,1,6,1,8,1,9,1,8,1,13,1,8,1,16,1,11,1,17,2,9,1,28,17,13,3,30,1,29,1,6,5,7,1,6,1,7,1,13,2,6,2,13,1,6,1,30,1,28,2,30,1,6,2,30,1,28,1,6,1,28,2,7,1,9,1,13,1,8,1,13,4,6,2,13,1,8,3,13,1,9,1,13,1,9,1,13,2,8,1,9,2,13,1,9,1,10,3,8,1,9,1,13,1,8,3,9,5,13,2,9,1,13,1,9,1,13,1,9,1,8,4,13,1,6,1,13,1,8,1,13,2,7,1,8,1,13,1,8,1,13,4,9,1,17,1,10,1,12,1,9,1,17,2,16,1,11,1,17,29,11,1,8,1,6,3,29,1,6,4,13,1,11,1,17,2,9,1,11,1,9,1,8,1,9,2,8,1,10,1,9,4,10,1,9,1,11,1,13,2,8,1,13,1,8,2,9,1,8,1,13,4,6,1,13,2,6,1,13,3,7,1,13,1,6,1,13,1,7,1,6,1,13,1,8,1,6,1,30,1,7,1,13,2,6,4,13,1,29,1,6,4,7,1,6,1,30,1,6,1,30,1,29,2,6,7,7,1,6,2,7,1,6,2,13,1,30,1,6,3,7,1,13,1,6,1,7,1,6,1,13,1,7,1,6,1,13,2,7,1,13,1,9,1,13,3,7,1,13,3,7,2,13,2,6,1,13,4,6,1,13,2,24,1,13,2,8,1,13,1,8,1,13,3,8,3,13,1,8,1,13,2,7,1,8,1,24,2,7,1,8,3,13,1,8,1,13,1,29,1,6,1,29,1,7,1,6,1,29,1,30,2,6,1,30,1,28,1,6,2,30,1,29,1,30,1,6,1,30,2,6,3,7,2,6,1,29,1,30,2,29,1,30,3,28,4,30,1,28,2,30,1,6,1,30,1,28,1,6,1,29,1,30,2,13,1,8,1,29,1,13,2,12,1,13,1,7,1,29,1,30,1,6,1,29,2,30,1,6,2,30,1,13,1,6,2,30,1,6,2,7,1,29,1,13,2,7,1,8,2,10,1,11,1,24,1,9,1,24,1,8,1,13,4,6,1,13,1,9,2,8,1,7,1,13,2,6,1,13,1,6,2,13,1,7,1,13,3,30,1,13,1,7,2,13,1,7,1,13,1,8,1,6,2,13,4,7,1,13,2,7,1,13,4,7,1,6,2,30,2,29,2,13,1,6,2,13,1,6,1,7,1,6,4,7,2,6,2,7,1,29,1,6,1,29,1,6,1,29,1,7,1,30,1,29,1,6,1,30,1,13,1,29,1,6,1,29,1,6,1,29,2,6,1,29,1,30,1,6,5,30,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,29,1,30,1,6,2,30,1,6,1,29,1,30,2,6,1,30,2,28,4,30,1,28,4,30,3,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,6,1,28,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,29,1,6,3,29,1,6,1,28,1,30,1,29,2,6,1,30,2,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,3,6,1,28,3,30,4,28,1,29,1,30,4,28,1,29,1,30,1,7,1,13,3,6,1,13,1,8,1,13,1,8,1,9,2,13,1,6,1,30,1,6,1,30,3,6,3,30,3,28,2,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,2,30,1,29,1,17,2,11,1,8,1,7,1,13,5,7,1,13,4,8,1,13,1,24,1,10,1,24,1,8,2,10,1,12,1,10,1,12,1,10,1,17,2,11,1,17,4,12,1,17,4,12,1,17,14,12,1,17,2,12,1,17,4,12,1,17,1,10,1,12,3,9,1,17,1,9,1,12,1,17,1,12,1,17,1,9,2,17,1,10,1,17,1,12,1,17,2,9,1,12,1,11,1,12,2,11,1,9,1,12,2,8,1,9,1,10,1,8,1,9,2,24,1,13,1,10,1,13,1,8,1,9,1,11,1,10,1,17,1,12,1,6,1,29,1,30,1,28,11,30,1,28,1,30,1,28,1,6,1,28,3,30,1,28,1,6,1,30,1,29,1,6,1,13,2,29,1,30,3,6,1,30,1,29,1,6,1,13,2,30,2,7,1,28,1,30,1,28,4,30,1,6,1,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,4,30,2,28,2,30,2,28,1,30,2,28,1,30,2,28,4,30,1,28,1,30,2,6,1,13,1,30,4,28,1,30,3,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,4,30,1,28,6,30,2,28,1,30,3,28,1,30,2,6,2,30,2,6,1,30,1,6,4,30,1,6,3,30,1,6,3,30,9,6,2,30,2,29,1,6,1,30,3,28,1,6,1,30,2,28,1,30,4,6,1,28,1,30,1,28,1,30,3,28,1,30,1,28,2,17,1,29,1,30,1,28,3,30,1,28,1,30,2,28,4,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,3,28,1,30,3,13,1,30,1,28,2,30,1,6,1,13,2,30,1,28,1,30,5,28,2,7,1,28,2,6,1,28,1,30,1,28,1,30,1,6,1,28,1,6,1,28,1,30,1,13,1,6,1,28,1,30,1,28,1,30,1,29,2,28,1,6,1,28,1,30,1,28,1,30,3,28,2,6,1,30,1,28,9,13,2,6,1,28,7,30,1,28,2,6,1,28,4,30,2,28,1,30,1,28,1,30,1,28,6,30,2,28,1,30,1,28,2,30,2,28,1,6,1,28,2,30,2,28,1,13,1,28,3,30,2,28,3,30,2,28,2,30,1,28,6,30,1,28,5,30,1,28,1,30,3,28,3,30,1,28,1,30,4,28,1,30,1,28,4,30,1,28,12,30,2,28,2,30,1,28,2,8,1,28,2,6,1,28,5,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,3,30,1,28,4,30,1,28,2,30,2,28,3,13,1,28,2,30,1,28,1,30,1,28,12,30,2,28,4,6,1,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,19,30,1,28,10,30,1,28,4,30,3,6,2,28,1,6,1,30,1,28,3,30,1,28,2,6,1,28,5,30,1,28,2,13,1,28,3,30,1,28,8,30,2,28,3,6,1,13,1,17,5,9,1,10,1,17,32,16,1,17,17,11,2,12,1,17,1,16,1,11,2,16,1,11,1,12,1,11,1,12,1,9,1,8,1,25,1,27,5,25,1,30,1,28,1,6,1,29,2,30,3,28,6,30,1,28,6,6,1,11,1,9,1,17,1,9,1,11,1,9,2,10,1,9,3,11,4,17,1,11,1,10,1,17,1,12,1,16,1,9,1,11,3,10,1,9,1,11,2,9,1,11,3,17,2,16,1,17,1,11,2,17,1,11,1,12,1,11,1,17,2,16,1,17,1,11,1,9,1,12,1,9,2,6,1,28,1,30,3,28,12,30,1,28,2,30,1,28,1,30,1,28,3,30,2,28,1,6,1,29,1,30,1,28,6,6,1,28,1,30,4,28,1,30,2,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,4,29,1,30,1,6,1,30,1,6,1,13,5,9,1,8,1,9,4,10,1,9,5,17,2,10,1,9,1,6,1,7,1,6,2,8,1,6,2,28,1,29,1,6,2,30,1,29,1,30,4,28,1,30,4,28,4,30,2,6,3,7,1,13,1,7,1,13,2,6,1,7,1,13,1,6,4,30,1,6,3,30,1,6,1,13,1,6,1,13,2,6,2,13,1,6,2,13,1,6,1,13,2,6,1,13,1,7,1,13,3,9,1,7,1,11,1,10,1,9,2,10,2,8,1,9,1,10,1,9,1,10,1,8,1,9,1,8,4,13,3,6,1,8,1,13,3,7,1,6,1,13,1,6,2,28,1,13,1,6,1,30,1,7,1,29,1,30,1,29,2,30,9,28,1,30,3,28,3,30,1,28,2,30,1,28,1,30,1,28,5,6,1,28,1,30,1,28,4,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,14,30,2,28,6,30,1,28,3,30,2,28,1,30,1,28,2,30,2,28,2,30,1,28,2,30,3,28,1,30,3,6,2,30,1,6,4,30,2,29,1,13,8,11,1,13,1,8,2,9,1,17,1,16,2,17,17,9,1,30,1,6,1,29,1,28,1,13,2,29,2,30,4,6,1,30,2,28,6,30,1,28,14,30,1,28,5,30,1,28,3,30,1,29,1,30,2,29,1,30,1,6,1,30,3,29,2,30,1,6,1,29,1,6,2,29,1,28,1,6,1,30,1,28,1,6,2,13,1,6,2,7,1,6,1,7,1,13,1,7,1,13,1,6,1,7,1,13,1,6,3,29,2,13,1,6,3,29,1,13,1,7,1,6,1,7,2,6,2,13,1,6,2,7,1,6,1,7,1,6,1,13,1,6,1,8,1,7,2,13,1,8,1,13,1,8,1,9,1,7,1,9,2,13,1,8,1,13,1,8,2,13,1,8,4,13,3,9,1,8,1,9,1,8,1,13,1,9,2,8,1,9,1,13,1,8,1,9,1,8,1,9,2,8,2,9,1,11,1,13,1,9,1,8,1,9,1,11,1,10,1,11,1,9,4,16,1,11,2,17,16,9,1,17,1,16,1,17,1,11,1,17,3,16,1,17,1,16,1,17,4,16,2,17,6,16,1,17,4,16,2,11,1,17,1,11,1,17,1,16,1,17,2,11,1,17,1,11,1,17,2,16,1,17,1,11,2,10,1,11,3,10,1,16,1,17,1,8,1,13,4,8,1,13,1,6,1,13,2,8,2,13,1,8,1,13,1,7,1,13,2,30,1,6,1,29,1,6,1,13,1,29,1,6,1,13,1,9,1,8,1,28,16,17,2,9,2,6,1,8,1,6,2,30,1,28,1,13,1,28,11,6,2,28,1,8,1,16,1,11,1,10,1,9,1,17,2,6,1,28,5,6,1,8,1,9,1,13,1,28,42,9,1,30,1,28,4,17,3,9,1,30,1,13,1,6,2,30,1,13,2,11,2,17,1,11,1,28,6,30,2,28,15,}, {13,2,6,1,30,5,28,2,8,1,17,1,6,1,28,52,6,1,8,1,9,1,12,1,8,1,7,1,6,1,28,1,6,1,8,1,16,1,12,1,9,1,13,1,6,1,8,1,9,1,8,1,9,1,17,1,12,1,17,5,9,1,8,2,6,2,30,1,6,1,7,1,8,1,9,1,13,3,6,1,29,1,13,1,17,6,9,1,8,3,9,1,8,2,17,4,8,1,30,1,28,1,6,1,30,1,13,1,6,1,24,1,28,13,6,1,28,23,30,1,13,1,9,2,17,1,29,3,6,1,13,1,6,1,30,1,16,1,17,8,9,2,13,1,24,1,7,1,6,1,30,1,6,1,7,1,28,1,7,1,13,2,6,1,13,1,8,2,9,1,8,1,12,1,17,3,16,1,28,17,7,1,6,1,7,1,6,1,30,1,29,1,6,1,13,1,6,1,30,1,6,1,7,1,13,1,6,3,29,1,6,2,30,2,6,3,30,2,29,1,30,1,28,2,9,1,8,1,9,1,13,1,8,1,13,3,7,1,13,2,8,1,9,1,8,3,13,3,9,1,10,1,8,1,9,3,8,1,13,1,9,3,8,1,9,3,8,2,10,1,9,3,11,1,9,1,8,3,9,4,13,2,7,1,13,1,6,1,13,1,8,1,7,2,13,1,9,1,8,1,13,2,9,1,13,1,9,1,8,1,16,1,9,1,16,3,11,1,16,1,17,2,16,1,17,12,16,1,17,12,16,1,13,2,30,1,6,1,29,1,30,2,6,1,30,2,6,1,13,1,16,1,17,1,12,1,17,1,10,1,9,1,10,1,9,1,8,1,10,1,8,1,9,1,11,1,8,1,9,2,13,1,24,1,9,1,8,2,13,1,9,2,8,4,13,1,8,1,13,3,7,1,13,3,6,1,13,2,6,1,7,1,6,2,13,1,6,2,30,1,13,1,7,1,29,1,7,1,6,3,30,1,7,1,30,1,6,1,30,1,6,1,29,1,30,1,6,3,7,1,6,1,29,1,7,1,29,1,7,1,30,1,6,2,29,1,13,1,6,3,30,1,6,2,7,1,13,3,6,1,7,2,8,2,7,1,13,2,7,2,8,1,13,2,7,1,13,1,6,1,13,1,6,2,13,2,7,1,13,4,7,1,13,1,7,2,13,3,7,1,13,1,8,1,13,3,8,1,13,1,8,8,13,3,8,1,13,3,6,1,7,1,6,1,29,1,6,3,30,3,29,1,30,1,7,1,6,2,30,2,6,1,30,1,13,1,29,1,30,1,28,1,29,1,28,1,29,1,30,1,28,2,30,2,28,7,30,3,6,1,30,2,13,1,6,2,13,3,8,1,12,1,24,1,7,1,30,1,6,1,30,1,29,1,6,1,29,2,6,2,28,1,6,1,29,1,6,2,29,2,6,1,29,1,7,2,13,1,9,2,11,1,12,1,9,1,8,3,24,1,13,3,8,1,13,1,6,1,8,1,6,1,13,1,7,1,6,1,13,1,6,1,7,1,13,3,7,1,8,1,13,1,6,2,7,3,6,1,13,5,8,1,13,1,7,1,13,1,8,1,7,1,24,1,7,1,13,1,7,1,13,1,6,2,7,1,6,1,29,1,6,3,30,1,6,1,7,1,6,2,7,1,13,1,30,1,13,2,6,7,13,2,7,2,30,2,6,1,29,1,30,1,6,6,30,1,6,1,29,1,6,1,30,1,6,4,29,1,6,2,30,1,6,1,29,1,30,1,6,1,30,1,6,1,7,1,28,1,7,1,28,1,29,2,30,5,28,1,30,1,28,4,30,1,28,2,29,2,28,10,29,1,28,1,6,1,28,1,30,5,6,1,30,1,29,1,7,1,6,1,30,1,6,2,28,1,30,2,7,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,6,1,28,3,30,3,29,1,28,1,30,1,29,1,30,1,6,1,30,1,6,1,13,2,8,1,13,1,6,1,13,4,9,1,13,2,30,1,6,2,30,1,6,1,30,2,29,1,6,1,28,1,30,2,29,2,6,1,28,1,30,6,6,3,30,1,28,2,8,1,12,1,9,2,8,1,13,1,6,1,13,1,7,1,6,1,8,1,13,1,6,1,7,1,13,3,8,2,13,1,24,1,13,1,24,1,9,1,10,2,9,1,12,2,17,1,12,1,17,11,12,1,17,19,12,1,17,1,11,1,17,1,10,1,12,1,11,1,12,1,10,1,12,2,11,1,17,1,12,1,17,5,9,1,10,2,12,2,10,1,11,2,9,1,11,1,10,1,11,1,8,1,9,1,24,1,9,2,24,1,9,1,13,1,9,2,11,1,17,2,8,1,6,1,28,8,30,1,28,4,30,1,28,2,30,2,28,4,30,1,28,1,30,1,28,1,13,2,6,1,28,1,30,3,13,1,28,1,30,1,28,1,13,1,29,1,6,1,28,2,6,1,28,1,30,1,28,4,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,3,30,4,28,2,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,4,28,4,30,1,28,1,30,1,6,1,13,2,30,1,28,1,30,5,28,1,6,1,28,2,30,4,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,3,30,2,6,1,28,1,6,1,28,1,6,1,30,1,6,1,29,1,6,1,30,2,6,2,30,1,29,1,30,2,29,1,30,4,6,1,30,2,29,1,30,3,6,4,30,1,28,1,29,1,6,1,30,2,28,1,6,3,28,2,29,1,30,3,28,4,30,3,28,4,17,1,6,1,28,1,30,1,28,3,30,1,28,2,30,4,28,4,30,1,28,2,29,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,8,1,28,2,29,1,6,2,13,1,30,1,6,1,30,1,28,2,30,2,28,1,30,1,28,1,13,1,6,1,30,1,28,1,6,2,30,4,28,1,6,1,13,2,30,1,28,2,29,1,28,1,30,2,28,1,30,1,6,1,30,2,28,3,6,1,28,1,30,1,28,11,6,2,9,1,28,2,30,1,28,5,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,1,30,6,28,2,30,1,28,1,30,1,28,2,6,1,30,1,28,1,29,1,28,13,30,2,28,2,30,1,28,1,29,1,30,1,6,1,28,3,30,1,28,4,30,1,28,4,30,1,28,5,30,1,28,5,30,1,28,2,30,1,28,4,13,1,7,1,28,3,30,2,28,4,30,1,28,2,30,2,28,16,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,13,1,6,1,29,1,28,8,30,1,28,2,30,1,28,5,6,1,30,1,28,6,30,1,28,4,30,1,28,2,30,3,28,7,30,1,28,24,30,1,28,1,30,2,28,1,30,1,6,1,30,1,28,1,30,2,28,8,30,1,28,1,6,1,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,1,9,1,17,4,12,1,9,1,17,30,16,1,17,14,12,1,17,4,11,1,17,1,12,1,16,1,17,5,12,1,17,1,12,1,10,1,8,2,27,1,26,3,27,1,26,1,29,1,28,1,30,1,29,1,30,2,28,16,9,1,11,1,10,1,11,1,10,1,9,3,10,1,9,1,10,1,9,1,12,1,11,2,12,1,9,1,11,1,17,1,12,1,11,1,17,1,11,3,8,1,9,2,11,4,17,5,11,1,9,1,11,1,17,1,11,1,17,2,16,1,17,1,11,2,10,1,11,1,10,1,9,1,8,1,29,1,30,1,28,6,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,2,30,3,28,3,30,4,29,1,30,3,28,1,30,1,28,4,30,2,28,5,30,1,28,6,30,1,28,1,30,1,28,3,6,1,28,1,30,1,6,1,29,1,30,1,6,3,13,3,8,1,13,1,8,1,9,3,10,1,9,1,16,1,9,1,8,1,10,2,17,2,12,1,9,1,13,1,6,1,13,1,6,1,13,2,7,1,30,1,6,1,29,1,30,2,6,1,30,1,29,1,30,1,28,1,30,2,28,2,30,1,28,4,30,3,7,1,6,2,13,1,6,1,7,1,6,4,29,2,7,3,13,1,6,2,7,1,13,1,29,1,6,2,13,1,6,3,30,1,7,2,6,2,13,1,6,1,13,1,6,1,8,1,13,3,8,4,9,2,8,2,9,1,13,1,24,1,13,1,9,2,8,1,9,1,8,1,13,6,6,2,13,1,6,7,30,4,6,1,30,1,28,1,29,1,6,2,30,1,6,1,30,2,28,1,30,2,28,2,30,1,28,7,30,2,28,3,30,1,28,1,6,1,28,3,30,1,28,4,30,1,28,9,30,1,29,1,28,2,30,1,28,2,30,1,28,8,6,1,28,9,30,2,28,1,30,2,28,2,30,1,28,5,30,4,29,1,6,1,30,1,6,2,30,2,6,3,29,2,6,3,13,1,6,1,7,1,13,1,8,1,13,2,8,1,9,1,13,1,8,1,12,1,17,21,9,2,7,1,6,1,13,2,6,2,30,3,29,1,30,3,28,6,30,1,28,2,30,1,28,5,30,1,28,18,30,1,6,1,29,1,30,2,28,1,6,2,30,1,29,2,30,2,6,1,30,1,6,1,29,1,30,1,6,2,30,1,13,1,7,2,6,2,29,2,6,1,30,1,6,1,29,1,30,1,29,1,7,1,6,1,13,1,7,1,6,2,7,3,29,1,7,1,6,1,29,1,13,1,6,1,13,1,7,1,13,1,29,1,13,2,6,1,13,2,6,1,13,4,8,1,7,1,13,2,8,3,13,1,8,2,9,1,13,2,8,3,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,8,3,13,1,9,2,13,1,9,3,7,1,9,1,8,1,9,2,8,1,9,3,10,1,11,1,8,2,13,1,11,1,9,1,10,1,9,1,11,1,10,1,16,1,11,1,16,2,17,1,16,1,17,6,16,1,17,4,11,1,17,1,16,2,17,4,16,1,17,9,16,1,17,4,16,1,17,1,16,1,17,1,16,2,17,1,11,1,17,1,16,2,17,3,11,1,17,1,16,2,17,1,9,1,16,1,11,2,10,1,16,2,17,1,11,1,9,1,8,1,13,2,8,1,13,5,8,1,13,1,9,1,13,4,30,1,6,1,7,1,6,1,13,2,6,1,8,1,13,3,28,16,17,2,11,1,9,1,30,1,13,3,28,1,30,1,6,1,28,13,13,1,8,1,9,2,11,2,17,2,30,1,28,5,30,1,8,1,17,1,30,1,28,42,13,1,28,4,6,1,17,3,9,1,29,1,6,5,13,1,9,1,16,1,17,1,9,1,28,6,6,1,30,1,28,15,}, {8,1,6,2,28,2,30,1,28,1,30,1,28,2,13,1,8,1,13,1,28,51,30,2,13,1,9,1,17,1,9,1,30,2,29,1,28,1,6,1,17,1,10,1,24,1,9,1,8,2,13,1,9,2,11,1,16,1,17,4,16,1,10,1,16,1,13,1,29,2,30,1,29,1,13,1,9,1,16,1,24,1,13,2,29,1,13,2,11,1,17,3,16,1,11,1,9,1,13,2,8,1,6,1,8,1,11,2,17,3,6,1,30,1,6,2,30,1,6,1,13,1,9,1,28,35,29,1,28,1,30,1,13,1,9,1,12,1,9,2,30,1,7,1,29,2,6,1,29,1,10,1,17,7,11,1,10,1,11,1,13,2,8,1,6,3,30,2,6,2,13,1,7,1,8,2,13,1,10,2,11,1,9,1,12,1,17,1,9,1,28,17,30,2,6,2,30,1,29,1,6,1,13,1,6,3,13,1,29,1,13,1,29,1,6,1,30,1,7,1,6,1,29,1,30,1,6,1,28,1,6,1,29,1,13,1,6,2,30,1,28,1,13,2,8,1,13,1,9,1,13,1,8,2,13,2,8,1,9,1,13,1,9,1,8,1,7,1,9,1,13,1,9,1,13,1,8,1,11,1,13,1,11,1,9,1,13,1,8,1,13,2,8,1,13,1,9,4,11,1,7,1,9,1,13,2,9,2,8,2,9,1,8,1,9,1,13,2,8,1,13,7,9,1,13,2,9,1,13,1,8,1,9,1,13,1,8,1,10,1,9,1,11,1,17,2,12,1,17,1,16,1,17,1,16,2,17,14,11,1,17,11,13,1,6,2,30,1,6,1,29,1,30,2,6,2,30,1,29,1,6,1,9,1,16,1,9,1,11,1,9,6,10,1,8,1,24,1,9,1,8,1,9,1,8,4,13,1,8,2,9,1,13,2,24,1,13,2,8,1,9,1,13,2,7,3,6,1,7,1,13,2,6,1,13,1,7,1,6,3,7,1,6,3,29,1,6,3,30,1,29,2,30,1,6,2,30,1,6,1,29,1,30,1,6,1,30,1,6,1,29,2,6,1,7,1,6,1,13,1,29,1,6,1,13,1,6,1,7,2,13,2,6,1,13,2,7,1,13,2,6,1,7,4,8,1,13,3,8,1,6,1,13,1,7,1,13,6,6,1,13,2,7,2,13,3,8,1,7,1,8,1,13,3,9,2,8,2,13,4,8,3,6,1,13,1,8,1,13,1,9,1,13,1,8,1,13,2,6,1,8,1,13,1,6,1,7,1,6,1,30,1,6,1,13,1,6,2,29,1,30,1,29,2,6,1,29,2,6,1,29,1,30,1,29,1,30,1,28,1,6,1,29,1,30,3,6,1,30,1,28,1,30,1,28,3,30,2,28,2,30,4,28,1,30,1,6,1,30,1,7,1,13,3,24,1,12,1,9,1,7,1,6,3,29,2,6,1,29,1,6,1,30,1,13,1,6,1,28,1,6,1,30,1,29,1,30,3,7,2,6,1,8,1,9,3,10,1,24,1,9,1,8,1,13,1,6,1,8,1,13,1,8,2,7,1,29,1,13,2,30,1,8,2,7,1,6,1,13,1,7,3,13,1,7,3,13,4,7,1,8,1,6,1,13,2,8,2,13,2,8,1,13,1,7,2,13,1,6,1,7,1,6,1,30,1,29,1,6,2,30,1,29,1,6,2,13,1,6,1,13,2,6,1,13,1,6,3,7,1,6,1,7,1,29,1,7,1,6,2,7,1,6,2,13,1,6,1,30,2,6,1,30,1,6,2,29,1,30,1,7,1,6,3,30,1,29,1,13,1,6,1,29,2,6,2,30,1,29,1,6,2,30,1,7,1,28,1,30,1,6,1,7,1,29,1,30,4,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,9,30,2,28,6,30,1,28,2,30,2,7,1,30,3,6,1,29,2,6,2,30,1,6,3,29,3,28,1,29,1,28,1,29,1,30,1,28,1,30,1,29,1,30,1,28,3,29,1,30,1,28,1,30,1,28,3,30,4,28,1,30,2,28,1,6,1,29,1,30,1,28,1,29,1,7,1,13,2,9,1,13,1,6,1,8,1,13,2,8,1,9,1,8,2,13,1,30,1,6,5,30,5,28,1,30,1,29,1,30,2,6,2,30,1,6,1,30,1,29,2,6,1,30,1,28,1,30,1,28,1,30,1,13,1,9,1,11,1,9,1,6,1,13,1,7,1,6,1,13,2,7,1,13,4,8,2,7,1,8,1,13,2,8,1,9,1,24,1,11,1,12,2,17,28,11,1,17,3,12,2,17,1,11,1,12,1,11,1,12,4,11,1,12,1,11,1,17,3,12,2,17,1,12,1,10,1,17,1,12,1,11,2,10,1,9,1,12,1,10,2,12,1,10,2,9,2,11,1,24,1,8,2,24,2,10,1,17,1,8,1,17,1,9,1,29,1,28,5,30,1,28,5,30,1,28,3,30,2,6,1,29,1,28,2,30,1,28,1,30,2,28,1,13,1,30,2,28,5,30,2,6,3,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,6,28,1,30,5,28,1,30,4,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,6,1,13,1,6,1,30,2,6,1,30,1,28,4,30,1,28,1,30,2,28,5,6,1,28,4,30,1,28,5,30,1,28,5,30,1,28,1,30,5,28,3,29,1,28,1,30,3,6,1,29,1,30,3,6,2,30,4,6,2,30,1,29,3,30,1,28,1,30,2,6,1,13,1,6,1,30,2,6,1,30,3,28,1,30,1,28,1,13,1,6,2,30,2,6,1,28,2,30,4,28,3,29,1,30,1,28,2,13,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,4,30,1,6,1,9,1,30,1,28,1,13,1,8,1,6,2,28,1,30,1,28,6,30,1,28,1,30,1,6,3,30,4,6,2,30,1,13,1,30,2,28,1,6,1,30,7,6,1,30,1,28,1,30,1,28,1,30,2,28,3,30,2,28,10,9,1,13,1,28,2,6,2,30,2,28,1,30,1,6,1,30,1,28,3,30,2,28,4,30,1,28,2,30,1,28,4,6,1,28,7,30,3,28,5,30,3,28,6,30,1,28,6,30,1,28,1,30,1,28,1,30,2,28,3,30,2,28,1,30,4,28,2,30,3,28,4,30,1,28,1,30,1,28,2,30,1,28,8,30,1,28,4,29,1,6,1,28,1,30,1,28,3,13,1,6,1,28,1,30,1,28,6,30,1,28,1,30,1,28,11,30,1,28,9,30,1,28,1,30,1,28,1,7,1,9,1,30,1,28,11,30,1,28,2,30,1,28,3,6,1,30,1,28,7,30,2,28,2,30,1,28,4,30,1,28,8,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,14,30,1,28,1,30,1,28,1,29,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,29,1,30,2,28,4,30,1,28,1,30,1,28,10,13,1,17,1,16,1,17,3,10,1,11,1,17,42,16,1,17,7,11,1,17,3,12,1,17,5,11,1,12,1,24,2,26,5,29,1,6,1,28,2,29,1,30,4,28,14,13,1,17,1,9,1,12,1,11,2,10,1,9,4,10,1,11,1,10,1,11,1,17,1,9,1,11,1,16,2,10,1,11,1,10,1,8,1,9,4,8,1,10,1,9,1,11,1,17,3,11,1,17,1,10,1,11,2,17,1,16,2,17,3,16,1,11,1,17,1,11,2,9,1,8,1,13,1,28,17,30,2,28,4,30,1,28,4,30,2,28,2,30,2,28,1,6,1,28,2,30,1,28,1,30,3,28,2,30,1,28,3,30,1,28,1,30,1,28,5,30,2,28,9,30,1,6,1,30,1,28,1,30,3,28,1,13,1,6,1,13,2,7,1,9,1,8,2,9,1,8,2,11,1,10,1,11,1,9,2,8,1,9,1,11,1,17,1,11,1,9,1,13,1,7,1,8,1,13,1,6,3,7,1,29,1,30,1,6,1,30,1,29,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,2,28,1,13,1,29,1,7,1,29,1,6,2,28,1,29,2,28,1,6,2,30,1,6,2,30,2,6,2,29,1,30,1,7,1,30,1,6,2,13,1,30,1,6,1,13,1,30,1,6,1,7,1,13,1,6,1,13,1,7,1,6,1,7,1,29,1,13,1,8,1,13,1,8,3,9,1,17,1,9,2,8,1,13,4,8,1,13,2,8,2,13,3,8,1,13,2,6,6,7,1,6,2,30,1,29,1,6,2,29,2,30,1,6,1,29,1,30,2,28,1,30,2,28,1,29,1,6,1,28,1,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,4,30,2,28,4,30,1,28,14,30,1,28,14,30,1,28,14,30,1,28,4,30,1,28,1,29,1,30,3,6,2,30,1,6,1,30,1,7,1,30,1,6,1,7,1,30,1,6,1,29,1,13,1,29,1,7,1,13,1,6,2,13,6,8,1,11,1,12,1,17,1,16,1,17,1,11,2,17,19,11,1,9,1,13,1,6,2,29,1,30,3,29,1,30,5,28,1,30,1,28,9,30,1,28,20,29,1,28,1,30,5,29,1,28,2,6,1,30,2,6,1,28,1,30,1,7,1,30,1,6,1,30,1,6,3,7,1,30,1,6,1,30,1,29,1,6,1,29,2,6,1,7,1,29,1,6,1,29,1,6,3,13,1,6,1,13,1,6,2,7,1,6,2,7,1,6,1,13,1,7,1,13,1,29,1,6,1,7,1,13,2,6,1,13,1,6,1,13,1,7,1,13,4,6,1,13,3,9,1,8,2,9,1,8,1,13,1,9,1,13,7,8,1,13,1,9,3,13,3,9,2,8,1,13,2,11,1,9,1,11,1,9,1,8,1,9,2,8,1,9,3,16,1,9,1,11,1,12,1,10,1,9,1,10,1,9,3,11,2,9,1,11,1,17,1,9,1,17,5,16,1,11,1,9,1,11,3,16,2,17,1,16,1,17,9,16,1,17,1,16,1,17,7,16,1,17,1,16,1,17,6,16,1,11,1,17,2,16,1,17,1,16,1,17,1,16,1,11,1,16,1,11,1,16,2,11,1,16,2,17,1,16,1,8,1,9,1,8,1,9,1,7,1,8,1,13,3,8,1,9,1,13,1,9,2,13,1,9,2,8,1,13,3,7,1,9,1,13,1,8,1,13,1,11,1,13,1,28,16,17,3,13,4,28,1,30,1,6,1,30,2,28,10,30,1,6,1,30,1,9,2,16,1,9,1,8,1,17,1,16,1,30,1,28,5,6,1,11,1,10,1,6,1,28,42,6,1,29,1,6,1,28,2,8,1,17,2,11,1,8,1,6,1,13,2,6,2,28,1,13,2,16,1,17,1,11,1,28,23,}, {8,2,6,2,30,4,28,2,13,1,8,1,6,1,28,51,30,1,28,1,13,1,9,1,13,2,7,1,29,2,8,1,6,1,16,1,11,1,10,1,9,1,7,1,24,1,13,1,11,1,17,1,11,1,17,4,11,2,16,1,9,1,6,1,13,2,7,1,6,2,24,1,9,2,13,1,6,3,13,1,17,5,9,2,13,3,8,1,11,1,10,1,9,1,17,2,9,1,8,1,30,1,6,1,13,1,6,1,29,1,7,1,24,1,28,36,30,2,13,1,8,1,11,2,8,1,6,1,30,1,6,1,30,1,13,1,30,1,10,1,17,7,16,1,9,1,10,1,8,1,24,1,7,1,8,1,13,1,30,1,7,2,6,4,13,1,9,1,11,1,10,1,9,1,17,2,16,1,17,1,16,1,6,1,28,16,6,2,13,1,30,1,6,1,30,1,6,2,13,2,6,1,13,1,6,2,30,2,6,3,30,2,6,1,29,1,30,2,28,1,6,2,28,2,13,1,8,1,13,1,8,1,13,3,9,2,6,1,13,1,8,1,13,2,8,1,9,1,13,2,9,1,13,3,9,1,10,1,9,1,8,2,9,2,8,1,9,2,13,1,8,2,9,3,13,1,9,1,13,1,9,1,13,1,8,1,9,1,8,2,13,1,8,1,13,1,8,1,7,1,8,2,13,1,8,1,7,1,8,1,9,3,8,1,9,1,7,1,9,1,11,1,8,1,11,1,10,2,9,2,11,1,12,2,17,1,16,2,17,9,16,1,17,15,13,2,6,1,30,2,6,1,29,2,30,2,29,2,30,2,13,1,12,1,17,1,10,1,17,1,10,2,9,2,11,1,9,3,10,1,24,1,8,2,13,1,8,1,9,1,8,5,13,2,8,1,13,1,6,1,13,3,7,1,13,6,6,2,13,1,7,1,6,3,13,1,6,1,7,1,6,2,29,1,6,1,7,1,30,2,6,1,29,1,30,2,7,1,29,1,6,3,30,3,7,1,6,1,30,1,6,3,13,1,7,1,6,1,7,1,13,1,8,1,13,1,7,1,13,1,7,1,13,2,6,2,13,1,7,2,13,1,7,1,13,1,7,1,13,1,6,1,13,3,6,1,13,1,7,2,13,4,8,1,7,1,13,1,6,1,8,1,13,2,8,1,13,2,9,1,8,1,13,5,24,1,13,1,8,1,7,1,24,1,8,2,13,1,9,1,8,2,13,1,24,1,8,1,9,1,7,1,13,1,6,2,29,1,7,1,6,2,29,1,30,1,6,1,29,3,7,1,29,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,28,2,30,1,7,1,29,1,30,1,28,6,30,2,28,1,30,1,29,1,30,1,29,1,6,4,7,1,13,1,7,1,24,1,11,1,12,1,7,2,29,2,6,1,13,1,6,1,30,1,6,2,30,1,6,1,29,1,30,1,6,1,29,1,6,1,30,1,6,2,30,1,7,1,6,1,13,1,10,1,11,1,12,1,24,1,9,1,13,1,24,4,7,1,13,2,7,1,6,1,7,1,6,1,29,1,6,1,13,2,7,1,13,5,6,1,13,1,7,1,8,1,13,1,8,1,7,1,13,1,24,1,13,1,6,1,13,1,6,1,8,1,13,2,24,1,13,2,6,1,29,1,6,1,29,3,30,1,6,1,7,1,30,1,13,1,7,1,13,1,7,1,6,4,13,2,6,4,7,1,30,1,7,1,6,1,7,1,6,2,30,1,6,1,29,1,6,2,30,1,6,2,29,1,6,4,7,1,6,1,29,1,30,1,6,1,28,1,29,1,30,1,29,1,30,3,6,1,30,1,6,2,7,1,30,1,29,1,7,1,6,1,30,2,28,2,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,4,29,1,28,6,30,1,28,1,30,1,28,2,30,1,28,2,29,1,30,2,6,1,30,2,7,1,6,1,28,1,6,1,29,1,30,2,6,1,29,1,30,4,6,1,30,2,6,1,28,2,29,2,30,2,28,1,30,1,28,4,30,2,28,2,30,1,29,2,30,1,6,1,30,2,29,1,7,1,13,1,6,2,13,2,8,1,7,1,13,2,9,3,8,2,6,3,30,2,28,3,30,8,6,1,30,2,6,1,28,1,6,1,30,1,6,1,30,4,29,1,28,1,30,2,13,1,16,1,12,1,13,2,6,1,13,1,7,1,6,1,7,1,6,3,13,1,7,1,13,1,7,1,6,1,8,1,13,1,8,2,13,1,10,1,9,2,17,1,12,1,17,30,11,2,12,1,9,2,24,1,10,1,12,3,11,1,10,1,17,1,12,2,17,1,12,1,17,1,12,2,10,1,11,1,9,1,12,1,11,1,10,1,12,2,9,1,24,1,11,1,9,2,13,1,9,1,8,1,10,1,13,1,8,2,9,2,11,1,17,1,9,1,30,1,28,5,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,1,6,1,28,1,29,1,13,2,7,1,28,3,30,3,28,1,6,2,29,1,30,3,28,1,30,1,29,1,28,2,30,4,28,1,6,1,30,11,28,1,6,1,30,2,29,1,30,2,28,1,29,1,30,2,28,2,30,1,28,1,30,6,6,1,30,2,7,1,30,1,28,1,30,1,28,2,13,2,6,1,30,2,28,2,30,4,28,2,30,2,28,2,30,4,28,3,6,1,28,2,30,1,28,1,30,3,28,2,29,1,28,4,30,3,6,1,30,2,28,1,30,1,28,1,6,1,28,1,6,1,30,1,13,1,30,1,6,1,29,1,30,3,6,1,30,6,28,1,6,2,30,2,29,1,30,1,6,1,29,1,30,2,6,1,29,1,6,1,30,2,28,1,30,1,28,1,30,1,13,1,6,2,30,2,6,2,30,2,28,2,30,3,7,1,29,1,13,1,6,1,13,2,30,1,28,11,30,1,28,1,30,2,29,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,13,1,7,1,28,1,6,1,29,1,6,1,13,1,28,1,30,1,28,5,30,3,6,2,30,2,6,2,30,1,6,1,30,2,6,1,30,1,28,5,30,1,28,6,30,2,28,15,30,1,28,2,30,1,28,1,17,1,13,1,30,1,9,1,13,1,6,1,13,1,28,1,6,1,30,1,28,1,30,2,28,1,13,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,1,30,3,28,6,30,2,28,2,30,2,28,13,30,1,28,2,30,1,29,1,28,1,30,3,28,1,30,2,28,1,30,2,28,6,30,1,28,14,30,2,28,2,30,1,29,1,28,1,30,1,28,5,30,1,13,1,28,2,30,1,28,3,30,1,28,4,30,1,28,8,30,2,28,3,30,1,28,7,30,1,28,1,16,1,6,1,28,14,30,1,28,1,7,1,30,1,6,1,30,1,28,24,30,1,28,4,30,1,28,2,30,1,28,20,30,1,28,2,29,1,28,2,30,1,29,1,28,1,30,1,28,7,30,1,28,4,30,3,28,2,30,3,28,1,6,1,28,11,30,1,28,2,11,1,17,5,13,1,12,1,17,35,11,1,17,13,16,1,17,2,16,2,17,5,11,1,12,1,17,1,8,1,25,1,8,1,25,1,27,1,25,1,6,2,28,1,30,2,6,1,28,1,30,2,28,14,7,1,16,1,11,1,9,1,11,1,9,3,10,1,9,1,12,1,9,1,10,1,9,1,17,1,11,1,9,2,10,1,11,1,17,1,9,1,12,1,9,2,10,1,9,2,10,1,9,1,10,2,17,5,11,1,16,1,11,2,17,5,16,1,17,1,11,1,9,1,11,1,9,1,8,1,13,1,28,19,30,1,28,1,6,1,28,7,30,3,28,3,6,1,28,8,30,1,28,8,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,3,29,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,13,1,6,1,13,1,7,1,13,2,9,1,8,1,9,1,10,2,11,1,12,1,9,1,12,2,9,2,17,2,9,2,8,1,13,1,30,1,6,1,7,1,13,1,6,2,30,3,6,1,29,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,13,1,30,1,13,1,30,1,6,1,7,1,30,1,6,1,30,6,6,1,29,1,6,2,30,1,6,3,30,1,6,1,7,1,30,2,13,1,6,8,7,2,13,3,7,1,13,1,8,2,9,1,8,1,13,1,24,1,13,1,7,1,13,4,8,1,7,1,13,1,8,1,9,1,6,1,13,2,7,1,29,1,13,1,6,1,13,1,7,1,6,7,29,2,30,1,29,1,30,1,6,2,30,1,6,1,29,1,6,1,30,3,28,1,30,2,28,4,30,1,28,1,30,1,28,1,6,1,30,1,28,4,30,1,28,8,30,1,28,1,30,2,28,12,30,1,28,5,30,1,28,6,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,1,30,3,28,1,30,1,29,1,30,1,28,3,30,1,29,1,30,1,29,2,6,2,30,1,6,3,13,1,6,1,13,1,6,1,13,2,6,1,13,4,7,1,13,2,9,1,16,1,17,2,12,1,11,2,17,1,11,1,17,21,7,1,30,1,6,1,29,1,30,1,29,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,4,30,1,28,8,30,1,28,2,30,1,28,9,30,2,28,1,30,1,28,1,30,6,28,1,6,1,28,1,6,2,29,2,6,1,30,1,6,1,13,1,29,1,6,1,30,1,29,1,30,1,6,1,30,2,6,1,28,1,6,2,7,1,6,4,29,1,6,1,7,1,30,1,6,1,13,1,29,1,7,1,13,1,30,1,6,1,29,1,13,1,6,3,7,1,13,3,29,1,13,9,8,1,13,1,9,1,8,1,13,1,6,1,8,1,13,1,8,3,13,2,9,2,8,1,13,3,8,1,13,1,9,1,13,1,8,4,9,1,13,1,6,1,11,1,9,1,8,1,9,1,12,3,9,1,10,1,9,3,11,1,9,2,11,1,10,1,9,3,8,1,13,1,10,1,9,1,11,2,9,1,11,1,9,1,10,1,9,1,10,2,11,1,10,1,9,2,12,1,11,1,9,1,11,1,8,1,16,1,17,6,16,1,17,1,16,1,17,1,16,1,17,9,11,1,16,1,17,4,16,1,17,4,16,3,11,2,16,1,11,1,17,4,6,1,9,1,13,1,9,2,13,1,8,1,13,4,8,1,9,3,13,4,9,2,8,1,9,4,13,1,30,1,28,16,17,2,16,1,8,1,13,1,7,1,13,1,6,1,28,1,29,1,30,1,28,12,6,1,13,1,8,1,9,1,11,1,9,1,16,1,17,1,16,1,28,5,30,1,13,1,8,1,13,1,6,1,28,42,6,1,28,4,9,1,14,1,17,1,11,2,6,1,7,2,6,3,8,1,9,1,17,1,16,1,8,1,28,6,13,1,6,1,28,15,}, {9,1,13,1,6,1,29,1,28,2,30,1,28,3,6,1,17,1,6,1,28,52,30,1,7,1,9,2,8,1,6,1,13,1,28,1,6,2,12,1,10,1,9,1,13,1,7,2,13,1,10,1,11,1,9,1,12,2,17,2,16,1,11,2,9,1,8,1,30,1,6,2,29,1,6,1,8,1,9,2,13,2,7,1,6,2,16,1,17,3,16,3,8,2,13,1,8,3,11,1,17,1,16,1,9,1,13,1,30,1,7,1,6,2,13,1,6,1,13,1,30,1,28,36,30,1,6,1,8,1,11,2,8,1,28,1,6,1,30,1,28,1,6,1,30,1,9,1,17,7,11,2,9,1,8,1,13,1,6,1,13,1,6,1,7,2,30,1,7,1,13,1,6,1,8,1,13,1,9,1,12,1,9,1,10,1,9,1,11,1,17,3,30,1,28,16,6,11,13,1,6,1,7,1,30,1,6,3,30,2,6,1,29,1,30,1,6,1,30,2,6,2,28,1,30,1,13,2,9,1,13,2,8,2,13,3,8,1,9,3,13,2,8,1,13,4,9,1,8,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,5,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,3,6,1,13,1,8,1,9,1,8,1,9,1,8,1,9,2,11,1,9,4,12,1,11,1,10,1,11,1,17,1,12,2,17,22,16,1,17,1,11,1,17,1,16,1,17,2,9,1,6,4,30,1,29,1,30,2,6,1,30,2,29,1,6,2,13,1,11,1,12,2,11,1,10,1,17,1,10,1,9,1,11,1,9,3,8,1,24,1,9,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,4,8,1,7,1,13,1,7,1,6,1,13,4,6,1,7,1,13,1,30,1,13,1,7,2,6,2,7,1,6,1,29,1,13,1,6,1,29,1,6,1,30,3,6,1,30,2,6,1,28,1,30,1,7,1,6,1,29,2,7,2,6,1,29,3,6,1,7,1,29,1,6,1,30,1,29,1,7,1,13,1,6,3,7,1,6,1,13,1,6,2,13,1,7,4,6,1,13,1,7,2,6,1,7,2,6,1,13,1,8,1,13,1,24,1,13,7,8,1,7,1,8,2,13,3,7,1,8,1,13,1,6,1,7,1,8,1,13,2,8,1,13,3,7,1,9,1,13,1,8,2,13,1,6,1,13,1,6,4,13,2,29,1,28,1,29,2,30,1,6,1,28,1,6,2,7,1,29,2,30,5,29,1,6,2,30,1,6,1,30,1,28,1,30,1,28,7,30,1,29,1,30,4,7,1,13,3,6,1,24,1,10,1,11,1,9,1,7,1,30,1,7,1,6,1,7,1,30,1,6,2,29,1,30,2,28,1,6,2,28,2,30,1,28,1,6,1,30,1,29,1,13,3,12,2,9,2,24,1,9,2,8,1,13,3,7,1,13,2,7,1,6,1,13,2,6,1,7,1,13,1,7,1,13,1,8,1,13,2,6,1,13,4,7,1,13,2,6,1,7,1,13,2,7,1,8,1,9,1,13,1,29,1,7,1,13,1,6,1,7,2,29,1,6,3,30,1,7,1,6,1,13,1,6,1,13,2,6,1,7,1,6,5,13,2,29,2,6,2,29,2,6,1,7,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,13,1,6,4,29,2,30,1,6,3,29,1,30,1,6,1,30,1,7,1,6,1,29,1,6,3,30,1,6,1,30,1,6,2,29,1,6,1,30,4,28,1,30,1,28,1,30,4,28,6,30,1,28,1,30,1,28,3,30,1,28,1,29,1,30,4,6,2,30,1,6,1,30,1,29,1,30,1,28,1,30,1,6,2,30,2,6,1,30,1,29,1,30,2,28,1,6,1,28,2,30,3,28,1,30,2,28,4,30,1,28,5,30,1,28,1,30,3,6,1,7,1,6,1,7,1,6,2,7,1,6,1,8,1,13,1,6,1,13,1,8,2,9,2,13,2,6,1,30,1,29,1,30,1,28,1,30,1,6,1,30,5,28,1,30,1,28,4,30,1,6,2,29,1,6,2,29,1,30,3,28,1,30,3,6,2,8,1,9,2,7,3,6,1,29,1,6,1,7,1,13,2,6,4,13,1,7,1,13,1,7,1,8,1,9,3,11,1,17,1,12,2,17,1,12,1,17,21,12,1,11,1,17,1,12,2,11,1,10,1,9,1,10,1,9,2,11,2,12,1,17,2,12,1,11,1,12,3,11,1,10,1,12,3,10,1,12,1,24,1,9,2,24,2,9,2,24,1,13,1,8,3,9,1,8,1,13,3,8,1,9,1,11,1,17,1,9,1,28,1,30,1,28,12,30,1,28,3,30,1,28,6,30,1,28,1,6,1,9,1,30,2,28,1,30,3,6,1,30,3,29,1,6,1,30,3,28,2,30,2,28,1,30,2,28,1,29,1,30,1,28,1,6,1,28,2,30,3,28,2,30,1,28,1,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,4,6,1,28,1,6,1,30,1,28,3,6,1,13,3,28,1,30,2,13,1,6,2,28,2,30,1,29,1,30,4,28,1,30,3,28,1,30,3,28,1,30,1,28,2,30,2,28,2,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,1,30,1,6,1,30,5,28,2,6,2,30,2,29,1,30,2,28,1,6,1,30,1,28,1,30,1,29,1,30,2,6,1,30,1,28,1,30,2,6,1,28,1,30,1,29,1,30,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,2,6,1,30,2,6,1,28,1,29,1,28,1,30,2,6,1,30,1,13,1,30,1,6,1,29,1,28,1,30,2,28,2,30,4,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,4,30,1,28,3,30,1,11,1,6,1,30,4,28,1,30,1,28,3,30,3,28,1,6,1,13,1,30,3,6,1,28,1,30,1,7,1,30,2,6,1,28,2,30,1,28,1,30,2,28,3,30,1,28,4,6,1,28,3,30,1,28,4,30,1,28,4,30,1,28,3,30,1,28,1,30,1,9,1,10,1,13,3,30,4,28,1,30,3,6,1,30,1,6,1,28,1,30,1,29,1,30,3,28,1,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,5,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,5,30,2,28,1,30,1,29,1,30,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,5,6,1,30,1,28,12,30,1,6,1,28,1,30,1,6,1,28,8,30,1,6,1,30,2,28,6,30,1,28,3,30,2,28,6,30,1,13,1,28,7,30,1,28,3,30,1,28,1,8,1,28,7,30,2,28,10,13,1,30,1,28,9,30,1,28,4,30,1,28,40,30,1,28,1,29,1,6,1,28,1,30,1,13,1,6,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,6,1,30,2,28,4,30,2,28,2,30,1,28,1,30,2,28,9,6,1,16,1,17,4,11,1,9,1,17,31,11,1,12,1,17,8,16,1,17,1,16,3,17,4,11,2,17,1,11,1,16,1,17,5,11,2,17,1,13,1,8,1,25,1,26,2,27,1,29,2,28,1,30,1,29,1,28,1,30,2,28,13,30,1,13,1,11,1,9,3,10,1,13,1,8,1,11,1,9,5,11,1,9,1,11,1,17,1,9,1,11,3,17,1,10,1,11,1,9,2,11,2,9,1,10,1,11,1,17,1,11,3,17,2,11,1,16,1,11,2,17,5,11,1,10,1,17,1,9,3,13,2,28,14,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,3,6,1,29,1,28,1,30,1,28,1,30,1,28,5,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,6,30,4,28,1,30,2,28,2,6,1,30,2,6,1,7,1,6,1,13,2,6,1,9,2,10,1,8,1,11,3,9,2,8,1,9,1,10,1,17,2,12,1,11,1,6,1,7,1,13,1,6,2,13,1,6,1,7,1,30,1,6,1,29,1,30,1,29,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,6,1,7,1,30,1,6,1,30,1,28,1,6,1,30,2,28,1,30,10,6,3,30,6,13,1,30,1,6,1,30,1,6,1,13,1,6,4,13,1,6,1,13,1,29,1,13,2,7,1,9,1,8,1,13,1,30,1,13,2,8,1,13,2,6,1,13,2,7,3,13,1,7,1,6,2,13,1,7,1,30,1,6,2,13,1,6,3,7,1,29,1,30,1,13,1,30,1,6,2,7,1,30,2,6,3,30,2,6,1,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,4,28,1,6,1,30,1,28,8,30,1,28,3,30,1,28,3,30,1,28,15,30,1,28,1,30,3,28,5,30,1,6,1,30,1,28,1,29,1,30,1,29,1,30,2,13,1,6,1,28,1,29,1,6,2,13,1,6,1,7,1,30,1,6,1,30,2,7,1,13,1,6,1,13,4,7,1,13,1,8,1,9,1,17,3,16,1,11,1,16,1,17,1,16,1,17,22,8,1,13,1,29,1,6,1,30,1,29,1,30,5,6,1,30,5,28,6,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,12,30,1,28,3,30,1,28,2,30,2,28,1,30,3,6,1,30,1,29,1,30,4,28,1,29,2,30,1,13,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,7,1,6,1,13,1,29,1,6,5,29,1,6,1,7,1,30,1,29,1,6,2,13,5,30,1,13,1,6,3,7,1,13,2,7,1,13,2,8,1,13,5,8,1,13,1,8,1,13,2,9,1,13,3,8,1,13,1,8,1,13,2,8,1,13,1,9,1,8,2,9,3,8,1,9,2,13,1,11,1,13,1,12,1,9,1,10,1,8,2,9,2,11,1,17,1,11,1,9,3,11,2,13,1,9,2,8,1,9,1,10,1,9,3,16,1,9,1,10,1,13,1,9,8,10,1,11,1,9,3,10,1,9,1,11,1,9,1,11,1,16,2,10,1,17,1,16,1,17,4,16,1,17,7,11,1,17,12,16,2,17,2,11,1,17,2,16,2,17,1,16,1,8,2,13,1,9,2,13,1,8,1,6,1,8,1,13,2,8,1,13,1,9,2,13,1,8,1,13,6,8,1,13,1,9,2,6,1,28,15,6,1,17,2,11,1,10,1,7,1,6,1,8,1,29,2,6,1,30,1,28,10,29,1,6,1,29,1,30,1,10,1,9,1,16,1,9,1,17,2,11,1,28,2,30,1,28,3,6,1,13,1,11,1,6,1,28,41,30,1,6,1,7,1,28,3,10,1,17,2,16,1,9,1,13,2,8,1,13,2,29,1,9,2,17,1,16,1,13,1,28,7,6,1,28,13,30,1,28,1,}, {9,1,13,2,30,1,29,1,28,3,30,1,28,1,6,1,11,1,8,1,30,1,28,50,30,1,29,1,6,1,9,1,10,1,9,1,30,1,6,3,29,1,9,1,17,1,9,1,29,1,13,3,10,2,17,1,11,1,17,1,11,1,17,2,9,1,11,1,9,2,29,1,30,1,29,2,13,1,8,2,9,1,13,1,6,1,13,1,7,1,30,1,11,1,17,6,13,1,9,1,13,1,10,1,13,2,9,1,11,1,17,1,11,1,9,1,7,1,13,2,6,2,13,1,8,1,28,38,8,1,9,1,10,1,17,1,13,1,29,1,28,1,6,1,28,1,30,2,8,1,17,8,9,1,13,1,8,2,6,1,13,1,6,2,7,1,6,2,13,2,9,1,8,2,9,1,11,2,9,1,16,1,17,2,16,1,6,1,28,16,6,4,30,1,29,1,13,1,30,1,13,3,7,1,6,1,28,1,30,3,6,1,7,1,28,1,29,1,30,2,6,2,30,5,13,1,8,1,13,5,8,2,13,1,8,2,13,2,9,2,13,3,8,1,13,1,10,1,8,1,9,3,13,1,8,1,9,1,8,1,9,3,8,1,9,1,8,1,9,1,8,2,9,1,8,1,9,5,8,1,13,3,8,2,9,1,8,1,9,1,8,4,10,1,9,1,8,1,12,1,9,1,11,1,8,1,9,2,10,1,16,2,17,23,11,2,17,3,16,2,17,1,11,1,13,2,29,1,6,1,30,3,6,1,29,1,30,3,6,1,30,3,7,1,8,1,9,1,17,1,12,2,11,1,9,2,10,1,8,2,11,1,8,1,9,1,8,1,9,1,8,2,13,4,7,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,8,2,13,1,7,2,13,1,6,2,13,1,6,1,7,1,6,5,30,1,7,1,13,1,30,1,7,1,6,1,29,2,30,1,6,1,13,1,29,1,7,1,6,2,30,1,28,1,6,1,28,1,30,1,29,1,30,1,6,1,29,1,6,1,7,1,30,1,7,1,29,1,6,1,7,1,6,1,7,1,6,1,30,1,7,1,13,1,30,1,7,1,29,1,6,1,7,2,30,2,6,2,13,1,6,1,29,1,7,1,6,1,13,1,7,1,30,1,29,1,13,1,6,1,13,1,8,1,13,1,7,1,13,2,7,1,13,3,8,1,13,2,7,1,13,4,6,1,7,1,13,1,9,1,13,2,8,4,9,1,8,1,13,1,8,2,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,30,5,29,1,6,2,30,1,29,1,6,1,30,1,7,1,28,1,6,1,30,3,6,1,30,1,6,1,29,1,28,1,30,2,28,1,30,1,28,5,30,4,6,1,30,1,6,2,13,3,9,1,10,1,12,1,9,1,13,1,6,6,7,1,6,4,30,2,29,1,6,1,29,1,28,2,7,1,6,2,13,3,17,1,11,1,9,2,10,1,11,1,24,1,8,1,13,1,6,1,13,1,29,2,7,1,6,3,29,1,13,1,7,1,13,1,7,1,13,1,7,1,8,1,7,1,13,2,8,1,7,1,8,1,13,4,6,1,13,6,8,1,13,2,30,1,6,3,28,1,6,1,29,3,6,2,7,1,6,3,7,1,30,1,6,1,7,2,6,1,7,1,28,1,7,1,13,1,6,2,29,1,30,3,6,2,30,2,13,1,6,2,30,1,7,1,30,1,6,1,29,1,6,2,28,1,29,1,6,1,30,1,6,1,30,2,7,1,30,4,7,1,28,1,6,1,29,1,6,2,30,2,6,3,30,1,29,1,28,1,30,2,28,1,30,1,28,7,30,1,28,5,30,2,28,1,29,1,28,1,6,1,30,1,28,2,30,2,6,1,30,1,6,1,30,1,29,1,30,1,6,2,30,1,6,3,30,1,29,1,6,1,30,5,28,1,30,2,28,5,30,4,28,2,6,1,30,2,6,2,29,1,7,1,13,1,7,1,6,1,7,1,6,1,29,1,6,1,24,1,13,3,8,3,9,1,8,1,13,1,6,1,30,6,28,1,30,1,6,1,28,2,30,1,28,1,30,2,6,1,7,1,6,1,13,1,6,1,30,3,6,1,30,6,28,1,30,1,29,1,30,2,6,1,13,2,9,1,8,1,7,2,13,2,6,1,13,1,7,1,6,2,29,2,7,1,6,1,13,2,8,1,9,1,11,2,10,1,12,1,17,1,11,1,17,22,12,1,17,1,11,1,9,1,11,2,9,1,10,1,9,1,10,2,12,1,11,1,17,1,12,1,10,1,12,1,11,1,12,1,9,1,11,1,12,1,11,1,17,1,10,3,12,1,24,2,8,1,24,1,8,1,24,1,10,2,9,1,24,1,7,1,13,2,8,2,6,1,7,2,13,1,11,1,13,1,28,4,30,1,28,4,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,3,30,2,28,1,30,1,28,1,13,2,6,1,28,1,6,1,30,4,6,3,28,2,30,6,28,1,30,2,28,1,30,4,7,1,30,1,6,2,30,1,28,1,30,3,28,1,6,1,28,2,29,1,30,1,28,1,30,3,28,1,30,1,6,1,28,2,30,3,28,2,6,2,13,2,6,1,30,2,13,1,6,2,30,1,28,1,6,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,6,1,28,2,6,1,30,3,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,4,28,1,30,1,28,3,30,6,6,2,30,1,6,1,28,1,30,3,6,1,30,2,29,1,28,3,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,2,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,3,28,1,30,2,6,1,30,2,28,1,30,2,28,1,6,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,13,1,28,2,30,1,28,5,30,2,28,1,30,5,28,1,30,1,28,7,30,1,28,1,9,1,13,1,28,1,30,5,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,3,30,1,28,6,30,1,28,2,30,1,28,2,30,1,6,1,30,1,28,18,17,1,30,1,6,1,30,3,28,4,30,4,6,2,28,1,30,3,28,1,30,1,28,5,30,2,28,1,30,1,28,2,30,1,28,5,30,2,28,2,30,1,6,1,28,3,30,1,28,1,30,1,28,4,30,2,28,1,30,1,28,5,30,1,29,1,28,2,6,2,30,2,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,11,30,2,29,1,30,1,29,1,13,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,13,1,28,2,30,1,28,1,30,1,28,1,30,1,28,12,30,1,6,1,28,4,30,1,28,2,30,1,28,5,9,1,28,6,30,1,28,2,30,1,28,2,30,1,28,5,30,2,28,51,30,1,28,2,30,2,28,4,6,2,28,2,6,1,28,1,6,2,28,1,30,3,6,1,30,1,6,2,28,8,6,1,30,2,28,2,30,2,28,2,30,1,28,6,30,2,17,5,9,2,17,30,10,1,17,21,12,1,17,2,11,1,17,1,12,1,17,2,10,1,17,1,9,1,8,1,26,2,27,2,6,1,29,2,30,2,29,1,30,1,28,15,6,1,9,1,10,1,9,1,10,1,8,1,9,1,8,2,9,2,10,1,9,2,11,2,16,1,11,2,16,1,11,1,12,1,9,1,11,2,10,1,9,2,11,1,13,1,10,1,9,1,17,1,11,1,17,3,16,1,11,2,16,1,11,1,17,5,11,1,12,1,17,1,11,2,9,2,8,1,30,1,28,15,30,1,28,1,30,2,28,5,30,1,28,2,30,3,6,2,28,2,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,8,30,1,28,3,30,1,6,1,30,1,6,1,30,4,28,7,29,1,30,2,6,1,13,3,8,1,9,1,10,1,9,1,10,1,11,1,10,1,16,1,11,2,10,1,9,2,17,3,9,1,6,2,29,1,6,6,30,1,6,2,29,1,30,2,28,2,30,1,28,1,6,1,28,1,30,1,28,2,7,1,6,2,30,1,28,2,30,1,28,5,30,7,6,1,30,6,29,1,30,2,29,1,28,1,30,1,6,1,30,3,7,1,29,2,6,1,7,1,13,4,7,1,13,1,7,1,13,2,7,1,13,2,6,1,13,1,7,1,6,2,13,3,6,1,7,1,30,1,13,2,6,1,13,1,7,1,30,1,6,2,29,1,6,1,28,1,30,1,7,1,6,1,30,1,29,1,30,1,6,2,29,1,30,4,6,1,28,1,29,1,30,1,28,1,30,2,28,1,30,3,28,2,30,2,6,1,30,3,28,3,30,1,28,1,29,1,28,1,30,4,28,1,30,1,28,10,30,1,28,2,30,1,28,19,30,1,28,3,30,5,29,1,30,3,6,1,30,1,6,2,29,1,30,2,7,1,29,1,6,2,30,2,6,1,7,1,30,1,13,2,6,1,7,1,13,3,7,1,13,1,8,1,13,1,9,2,16,1,12,1,16,1,12,2,17,1,11,1,16,2,17,21,11,1,9,1,13,1,30,1,13,1,30,4,29,2,28,1,30,1,6,1,30,2,28,2,30,2,28,5,30,1,6,1,28,18,30,1,28,1,6,1,28,2,30,1,6,1,30,2,28,2,30,2,28,3,6,1,29,1,30,1,28,1,6,1,30,2,29,1,6,1,7,1,6,1,30,2,6,1,30,1,29,1,30,1,29,2,7,1,13,1,29,1,13,1,6,1,29,1,6,1,13,1,6,3,13,2,6,2,13,1,29,1,7,1,13,1,6,1,13,5,6,1,13,1,7,1,13,1,7,1,13,4,7,1,13,3,9,1,7,1,13,1,8,1,13,2,8,1,13,1,7,1,13,4,8,1,13,1,9,1,13,5,8,2,13,1,8,1,13,1,11,1,8,1,9,1,10,1,9,3,17,1,9,3,10,1,16,1,8,1,10,1,11,1,9,1,10,1,9,2,11,1,9,1,10,1,9,1,11,1,9,1,10,1,11,2,9,2,10,1,11,1,9,1,11,3,17,1,11,2,9,2,17,1,9,1,17,1,9,1,11,1,9,1,8,1,10,2,16,1,11,1,16,1,17,9,16,1,17,4,16,1,17,6,16,1,17,2,16,2,11,1,17,5,11,1,13,2,9,4,13,5,8,1,13,3,8,1,9,1,13,4,8,1,13,3,10,1,8,1,6,1,28,15,30,1,17,2,11,1,9,1,7,1,13,1,7,1,6,3,30,1,28,11,30,1,6,1,13,1,8,1,11,2,9,1,17,2,9,1,28,3,30,1,28,2,8,1,9,1,8,1,28,42,6,2,28,4,11,1,17,2,9,1,8,1,13,3,6,1,13,1,6,1,8,1,9,1,17,2,30,1,28,6,6,1,28,16,}, {11,1,8,2,13,1,30,2,28,3,30,2,8,1,9,1,28,52,30,1,7,1,9,1,11,1,9,1,6,1,28,1,30,1,28,1,30,1,9,2,12,1,9,1,7,1,6,1,13,1,9,1,12,1,11,1,17,2,16,2,17,1,9,1,16,1,9,1,6,1,13,1,6,1,29,1,6,2,8,1,9,1,24,1,8,1,29,1,8,1,6,1,13,1,17,7,7,1,8,3,9,1,13,1,11,1,16,1,17,1,10,1,8,1,6,2,29,1,6,4,29,1,28,36,29,1,6,1,24,1,9,2,13,1,7,1,28,1,29,2,6,1,30,1,8,1,17,7,9,1,11,1,8,1,9,1,7,1,13,2,6,1,7,2,13,1,24,1,13,2,7,1,8,1,9,2,11,1,9,2,8,1,10,1,16,1,17,1,6,1,28,16,6,1,30,2,6,1,30,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,30,3,6,1,28,1,29,1,6,1,29,1,28,1,6,1,30,1,6,3,30,1,29,1,30,1,7,1,9,1,13,1,9,1,13,3,9,1,13,1,7,1,8,1,9,1,11,1,8,2,13,1,8,1,9,1,13,1,9,2,13,1,9,2,8,3,9,1,8,1,9,1,8,1,9,1,11,1,8,2,9,5,13,1,8,1,9,2,13,1,9,1,8,2,13,1,8,1,13,1,10,1,9,7,8,1,9,1,8,1,13,1,9,1,8,1,9,2,11,2,12,2,16,2,17,4,16,1,17,18,16,1,17,3,16,1,11,1,16,1,13,1,7,1,30,1,29,1,6,1,30,1,6,1,30,1,28,1,30,2,6,1,29,1,30,1,6,2,30,1,29,1,7,1,8,1,17,1,11,1,10,2,9,2,11,1,9,4,8,1,9,1,13,1,8,5,9,1,8,3,9,1,13,2,8,1,7,1,6,1,13,4,7,1,6,1,13,1,6,6,7,1,6,5,30,1,6,1,7,1,29,1,6,2,7,1,30,1,29,1,6,4,30,1,7,1,6,1,7,1,6,1,13,1,6,2,29,1,7,1,6,4,29,1,30,1,6,2,29,2,6,4,30,1,6,3,29,1,30,1,7,1,30,1,6,2,30,1,6,1,29,1,7,3,13,1,7,1,13,2,6,1,7,2,13,3,9,1,6,1,30,1,7,3,13,3,8,1,6,1,8,2,13,1,8,1,13,1,8,1,13,1,8,2,9,1,24,1,8,1,13,1,7,1,13,2,7,1,13,1,7,1,29,2,28,1,6,1,30,1,29,1,30,1,6,3,30,1,7,1,30,1,6,1,30,4,6,2,7,1,6,2,30,2,28,1,30,2,28,4,30,1,28,3,6,2,30,1,7,1,29,1,6,2,13,1,8,1,24,1,12,2,13,1,6,1,13,2,29,1,13,1,6,3,7,1,6,1,29,1,6,1,30,7,29,1,30,1,29,1,13,1,8,1,9,1,12,1,10,1,17,1,12,1,9,1,8,1,13,3,7,1,13,1,6,2,30,1,6,2,7,1,13,1,7,1,13,1,7,1,13,4,7,1,13,1,7,2,13,1,8,1,7,2,24,1,7,1,6,1,8,1,13,3,7,1,13,1,6,1,13,1,29,1,6,4,30,1,6,1,28,1,6,1,29,1,6,2,7,1,29,1,7,1,6,1,13,1,30,1,29,1,6,2,29,1,13,1,6,5,30,1,29,1,6,2,30,1,6,3,13,1,30,2,6,1,7,1,6,1,30,1,6,1,29,1,6,1,30,2,29,1,28,1,30,3,29,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,2,13,1,29,1,6,2,28,1,30,2,29,1,30,1,6,1,29,1,28,1,29,1,28,2,30,2,28,1,30,1,28,10,30,1,6,2,30,1,6,2,7,1,28,1,6,1,29,2,30,4,6,1,29,1,30,1,13,1,6,2,30,2,29,1,6,1,29,1,28,1,29,1,28,2,30,4,29,1,30,4,28,1,30,3,29,1,30,1,13,1,6,1,7,1,6,3,25,1,29,1,8,1,13,2,8,1,13,2,8,1,9,1,8,2,13,1,6,1,30,5,28,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,30,2,6,3,30,2,28,1,6,1,30,1,29,1,28,1,30,1,28,1,29,1,30,1,6,1,28,1,6,1,30,1,28,1,30,2,13,2,8,1,11,1,9,2,13,1,7,1,6,2,30,3,29,1,30,3,29,1,13,2,8,2,11,1,9,1,10,1,9,1,11,1,17,19,12,1,17,1,11,1,12,1,9,5,8,1,24,1,9,1,11,1,10,1,12,2,11,1,12,1,10,2,24,1,10,2,12,1,10,1,9,2,8,1,24,2,8,1,24,1,9,1,24,2,8,1,24,1,8,1,7,1,8,1,13,1,7,1,6,6,13,2,30,1,28,2,30,1,28,7,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,3,30,1,28,1,30,2,7,1,13,1,30,4,28,1,30,2,28,2,30,6,6,1,30,3,28,1,30,1,29,1,30,5,6,2,30,3,28,2,6,2,30,3,28,2,6,1,30,3,6,1,28,2,30,6,6,1,9,1,13,2,30,2,28,2,30,1,13,1,28,1,29,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,2,6,1,28,2,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,5,30,1,28,3,30,1,28,1,29,1,28,2,30,1,6,2,30,1,6,1,13,1,30,2,6,1,30,2,28,1,6,1,28,1,6,1,30,1,6,1,30,1,6,2,30,1,28,1,6,1,30,1,28,1,6,1,29,1,30,2,6,1,28,1,6,1,28,1,6,1,30,7,6,1,30,1,6,2,29,1,6,2,13,1,6,1,30,1,6,1,30,3,28,1,30,1,28,1,30,2,28,1,6,1,28,1,6,1,28,13,6,1,28,1,30,1,28,7,30,1,28,3,9,1,30,1,28,2,6,1,30,7,6,1,29,1,6,1,30,1,29,1,28,1,30,1,28,1,30,1,28,2,30,3,6,1,28,1,30,2,28,11,6,1,30,1,28,4,30,1,28,14,8,1,17,1,30,1,28,2,30,2,28,3,30,2,29,1,28,1,30,1,28,2,30,1,28,1,6,1,30,3,28,7,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,2,28,4,30,2,28,1,30,9,6,1,28,4,30,1,28,1,30,1,28,1,6,1,28,3,30,1,28,6,30,1,28,1,6,1,30,1,28,2,30,1,13,1,28,8,30,1,28,1,6,2,28,5,30,2,28,1,30,1,28,4,30,2,28,3,6,1,30,2,28,2,30,1,28,5,30,1,28,3,9,1,28,1,30,1,28,5,13,1,28,1,30,1,28,8,30,1,28,18,30,1,28,4,30,1,28,29,30,2,28,2,30,1,28,2,30,1,28,1,30,2,28,2,30,1,6,1,30,4,29,1,30,2,28,2,30,2,28,2,30,1,28,4,30,2,28,1,30,3,28,1,30,1,28,2,30,1,28,5,30,1,13,1,17,5,12,1,17,44,16,1,17,7,11,2,17,1,11,1,12,1,17,3,12,1,17,1,12,1,6,1,25,2,30,1,27,1,6,1,29,2,28,1,30,4,28,15,10,1,9,1,13,2,9,1,13,1,9,3,8,1,10,1,9,1,11,1,9,2,11,1,10,1,11,2,10,1,17,1,9,1,17,1,12,1,9,2,12,1,11,3,17,1,12,2,11,1,9,1,16,1,11,4,17,2,16,1,17,2,16,1,17,4,11,2,8,1,13,1,6,1,30,1,28,14,30,2,28,2,30,1,28,1,6,1,28,4,30,1,28,1,30,2,28,1,30,5,28,1,30,1,28,4,30,1,28,8,30,1,28,3,30,1,28,1,6,1,30,1,28,2,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,1,6,2,13,1,6,1,13,3,9,1,11,1,9,1,11,2,9,2,11,1,10,1,9,1,11,1,17,3,8,1,13,1,6,1,13,1,30,1,29,1,7,2,29,2,6,1,30,3,28,2,30,1,28,3,30,1,28,2,30,1,6,1,30,1,6,1,28,2,30,1,28,10,30,1,28,1,6,1,28,1,30,1,29,1,30,2,28,2,30,1,28,1,30,1,6,1,28,1,6,1,13,1,30,1,6,1,30,3,29,1,30,2,7,1,6,1,13,2,6,1,13,1,7,1,13,1,6,1,13,4,6,1,7,1,13,1,6,1,13,1,6,4,13,1,7,1,13,1,30,1,6,3,7,1,6,2,30,1,13,1,6,2,30,2,6,1,30,2,6,1,29,1,6,1,7,1,6,1,30,3,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,16,30,1,28,5,30,2,29,1,28,1,30,6,6,2,30,1,29,1,30,1,29,1,6,3,30,1,6,7,7,1,13,4,6,1,13,4,8,2,9,1,11,1,12,2,10,1,11,1,17,1,16,2,12,1,11,1,17,22,11,1,13,2,30,1,29,1,30,1,6,2,30,1,29,1,30,7,28,1,30,2,28,3,30,3,28,3,30,1,28,15,29,1,28,4,30,1,28,2,30,1,28,4,6,1,28,1,30,1,28,1,30,6,6,1,7,1,6,3,29,1,30,1,29,1,6,1,29,1,6,1,30,1,13,1,30,1,6,1,13,1,6,1,7,1,6,1,29,1,6,2,30,1,13,1,6,1,7,1,30,1,13,1,29,1,13,1,30,1,7,1,6,1,13,1,7,1,13,3,6,1,13,1,7,1,13,2,7,2,13,1,8,2,13,1,9,1,13,3,9,1,13,1,8,1,13,4,9,1,13,2,8,1,6,1,13,2,8,2,13,4,10,1,9,6,11,1,16,1,17,1,9,4,10,1,9,3,12,1,10,1,11,2,13,1,9,5,13,1,8,1,10,1,9,1,11,1,9,1,10,1,11,1,9,1,10,1,11,4,12,1,9,1,11,3,12,1,16,1,11,1,9,1,11,1,9,1,12,1,11,2,17,23,16,1,17,2,11,1,17,3,11,1,17,1,11,1,13,3,8,1,13,1,8,2,13,1,8,1,13,2,8,1,13,1,9,1,13,3,8,1,13,2,9,1,13,2,9,1,8,1,13,1,9,1,30,1,28,15,6,1,17,1,16,1,11,1,9,1,8,1,24,1,6,1,13,1,29,1,30,1,29,1,28,6,30,1,28,1,30,2,6,2,30,1,7,1,8,2,9,1,11,1,17,2,8,1,28,2,30,1,28,2,6,1,13,1,9,1,6,1,28,43,6,1,29,1,28,3,16,1,17,2,9,2,7,1,8,1,13,1,29,1,13,1,28,1,9,2,17,2,6,1,28,6,29,1,30,1,28,15,}, {17,1,9,1,13,1,6,1,30,1,28,5,30,1,9,1,8,1,28,51,30,1,6,2,9,2,8,2,6,1,28,1,30,1,13,2,12,2,13,1,9,1,13,1,24,1,9,1,16,1,11,2,17,4,16,1,11,2,8,1,7,1,13,1,28,1,29,1,6,1,13,1,12,1,8,1,13,1,7,2,6,1,30,1,9,1,17,4,16,1,11,1,13,2,12,1,9,1,8,2,9,1,17,2,9,2,28,1,13,1,8,2,30,1,6,1,13,1,30,1,28,37,13,1,9,2,17,1,9,1,6,1,29,1,28,1,29,1,30,1,29,1,8,1,17,8,9,1,8,4,7,3,6,1,7,1,13,3,8,1,13,1,8,1,9,1,11,1,8,1,11,1,9,1,11,1,17,2,13,1,28,16,6,2,30,1,6,1,30,1,6,1,30,1,13,1,6,1,7,1,13,1,29,1,6,1,29,1,28,1,6,2,29,1,30,1,28,1,6,2,30,1,6,1,30,5,28,1,13,1,9,2,8,1,13,4,8,2,13,1,9,1,8,1,13,1,8,1,13,2,9,1,13,1,8,1,13,1,8,1,9,5,8,1,9,2,16,1,9,3,8,1,9,1,8,2,9,1,8,1,9,3,8,1,9,1,8,5,11,1,9,1,8,1,9,3,8,1,9,1,8,1,9,1,11,1,9,1,11,1,8,3,13,1,11,4,9,1,11,1,16,1,17,3,16,1,17,20,16,1,17,1,16,1,17,1,11,1,13,1,6,1,30,5,6,2,29,1,6,1,28,2,6,1,30,1,6,5,13,1,8,1,10,1,12,1,9,2,24,1,12,1,9,2,8,1,9,1,8,2,24,1,8,2,13,1,9,1,13,2,8,1,13,4,6,1,13,3,6,1,13,2,6,2,13,1,30,1,6,2,13,2,6,3,7,1,6,1,29,1,7,1,30,1,6,2,30,1,6,3,13,1,6,1,30,2,6,1,30,1,29,1,6,2,30,2,6,5,29,1,6,1,30,1,6,4,30,1,6,2,30,1,6,1,30,2,6,1,29,1,28,1,29,1,6,4,30,1,28,1,7,1,30,1,7,1,6,2,7,1,6,4,13,1,7,1,13,5,6,2,13,3,7,1,8,1,6,1,13,1,24,1,9,1,13,2,8,1,13,1,8,1,13,3,8,1,24,1,8,1,7,1,13,1,7,2,8,1,13,1,30,1,6,1,28,2,29,1,28,1,6,1,30,1,6,1,30,3,6,1,30,1,13,1,30,1,6,1,28,1,6,1,13,1,7,1,30,1,6,1,30,1,28,9,30,3,28,1,30,1,6,1,29,1,6,3,13,1,8,1,13,1,8,1,11,1,17,1,24,1,13,3,7,1,6,1,29,1,6,1,30,1,6,2,30,2,29,1,6,1,30,1,28,1,29,1,30,5,6,1,13,1,9,1,17,1,12,3,9,1,10,1,13,3,7,1,6,1,7,1,6,1,28,1,7,1,6,2,30,1,6,1,30,1,13,2,7,1,29,1,13,2,8,1,7,1,13,2,6,1,13,1,9,1,6,1,8,1,7,1,8,1,6,1,7,1,13,1,8,1,13,2,7,1,29,1,7,2,6,1,30,2,29,1,6,1,29,1,30,1,7,1,6,1,13,1,6,1,13,2,6,8,7,1,30,1,6,2,30,1,7,1,6,1,30,1,29,1,30,1,6,1,29,3,6,3,7,1,30,1,6,1,28,1,30,1,29,1,30,2,29,1,30,1,6,3,29,1,30,1,6,1,29,2,6,5,30,1,7,1,30,1,6,3,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,29,1,6,1,13,1,6,1,30,2,29,1,30,3,6,1,30,4,6,1,30,1,8,2,30,1,29,1,6,2,29,2,6,3,7,1,30,1,28,1,30,1,6,1,30,1,7,1,28,1,30,4,29,2,30,1,6,1,13,1,7,1,13,2,6,1,27,1,26,2,6,1,24,1,8,1,7,1,29,1,13,1,9,3,13,1,8,1,13,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,6,2,29,1,30,1,6,1,28,1,30,3,6,1,30,2,28,1,30,7,28,1,6,2,13,3,8,1,9,1,17,1,9,1,13,1,7,1,29,1,28,1,30,4,28,1,30,1,6,1,7,1,8,4,11,1,10,1,11,2,17,17,11,1,12,1,17,1,9,3,13,1,8,1,13,1,8,2,9,1,24,1,12,1,11,2,12,1,9,1,10,1,17,1,12,4,24,1,12,1,9,1,8,1,24,1,13,2,9,1,13,1,8,1,9,1,8,1,13,2,8,1,6,1,7,1,6,2,7,1,29,1,6,1,30,1,29,1,13,1,7,1,30,2,29,1,30,1,6,1,28,1,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,6,1,13,1,28,1,29,1,30,2,28,3,6,1,30,1,6,1,30,3,6,1,30,1,6,2,7,1,6,1,30,1,29,2,6,1,28,1,30,3,29,1,28,1,30,2,6,1,30,1,6,1,28,2,30,3,6,1,30,1,29,1,30,1,29,1,6,1,30,2,6,1,13,1,6,1,13,3,6,2,13,1,29,1,30,2,28,3,30,2,6,2,28,2,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,4,28,2,30,1,6,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,29,1,30,4,6,1,30,1,6,2,30,1,6,2,30,1,6,1,28,1,30,4,28,1,29,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,30,2,29,1,6,1,13,1,29,2,28,1,30,7,29,1,6,1,28,1,6,1,30,2,6,1,30,1,28,1,30,1,28,1,6,1,30,1,28,3,30,3,28,2,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,29,1,28,1,30,1,28,1,29,1,30,1,28,1,6,1,30,2,28,1,6,1,30,1,28,2,30,1,28,4,13,2,28,1,30,6,28,1,6,2,30,1,6,1,30,2,28,2,30,1,28,3,30,3,28,2,6,1,28,2,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,14,30,1,13,1,10,1,6,1,28,9,30,1,28,6,30,1,28,2,30,1,28,5,30,1,28,2,30,3,28,2,30,1,28,1,30,4,28,1,30,3,28,4,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,7,28,3,30,1,28,2,30,1,28,5,30,1,28,3,30,2,28,5,30,1,28,4,6,1,28,2,30,1,28,6,30,2,6,1,28,1,30,1,28,2,30,1,28,12,30,1,6,1,28,2,30,1,28,7,30,1,28,3,9,1,28,6,6,1,30,2,28,9,30,2,28,34,30,1,28,5,6,1,28,10,30,1,28,1,30,2,28,5,30,3,28,4,29,1,30,1,13,2,6,1,28,1,30,1,28,1,30,1,28,9,6,1,30,1,28,4,30,2,28,9,29,1,13,1,17,5,9,1,10,1,17,26,16,1,17,24,11,1,17,2,12,2,17,2,12,2,17,1,24,1,27,1,8,1,27,3,6,1,30,6,28,15,9,1,13,1,9,1,8,1,13,3,9,3,8,1,9,4,10,1,11,2,10,1,11,3,9,1,11,2,9,4,12,1,9,1,17,4,16,1,17,1,11,2,10,1,11,3,17,2,11,2,17,1,9,1,10,1,12,1,10,1,9,2,8,1,30,2,28,15,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,12,7,1,30,2,28,5,30,1,28,9,30,2,29,1,6,1,13,1,7,1,13,2,9,2,12,1,10,2,11,1,9,1,12,1,9,1,12,1,17,4,11,1,13,1,30,1,6,1,30,1,13,1,6,3,30,1,28,1,30,1,6,2,28,1,30,1,28,8,30,1,13,1,6,1,30,1,28,12,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,5,29,1,28,2,30,1,28,2,30,1,7,1,6,5,13,1,6,2,13,1,6,1,29,1,13,1,6,3,13,1,30,1,6,1,30,1,7,1,6,3,13,1,6,9,28,1,6,1,30,2,6,5,30,1,6,1,30,1,29,1,7,1,30,1,6,1,30,5,28,1,6,1,28,1,30,7,28,1,29,1,28,1,30,2,28,3,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,9,30,1,28,16,30,2,28,6,30,2,6,1,28,2,29,1,28,1,29,1,6,1,28,2,29,1,30,1,29,1,6,1,28,1,6,2,30,1,6,1,13,1,6,2,29,1,30,1,13,1,6,2,13,2,6,1,13,4,8,2,9,1,10,2,17,1,9,1,11,1,17,4,11,3,17,24,8,1,6,1,7,1,6,1,29,1,30,2,29,1,6,1,28,1,30,5,28,2,30,3,28,1,30,3,28,10,30,1,28,6,30,2,28,6,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,29,1,6,1,7,1,28,1,30,1,6,1,28,1,13,1,29,1,30,1,6,1,30,1,6,5,30,1,6,1,7,1,6,2,29,1,7,1,30,1,29,1,6,2,7,1,13,1,30,1,6,1,13,1,6,1,30,1,13,1,7,1,13,1,6,1,13,1,7,2,6,1,13,1,6,1,13,1,6,1,13,1,7,1,8,1,9,1,13,1,8,1,13,2,8,3,13,1,8,1,7,1,13,4,8,1,13,1,8,1,13,4,9,1,13,1,8,3,9,2,12,1,17,1,8,1,11,1,9,1,8,1,9,3,8,1,9,1,8,2,11,1,9,1,11,1,9,3,11,1,9,9,11,1,17,1,9,1,17,1,16,1,11,1,10,1,16,1,11,2,17,1,9,1,17,1,10,2,17,1,12,1,9,3,11,3,16,1,17,18,16,1,17,2,16,1,17,3,16,1,17,1,16,1,17,1,16,1,11,1,13,1,8,2,9,2,11,1,9,2,13,4,8,1,9,1,8,2,13,3,9,1,8,1,9,1,13,5,30,1,28,15,6,1,17,2,8,1,9,1,13,2,29,1,7,1,29,1,30,1,28,9,30,2,6,3,13,1,8,1,9,1,12,1,13,1,16,1,17,1,13,1,28,5,29,1,13,1,9,1,13,2,28,41,30,1,28,1,30,1,28,3,16,1,17,2,12,1,8,1,6,1,13,2,30,1,13,1,6,1,8,1,12,1,17,1,16,1,29,1,28,6,30,2,28,15,}, {16,1,13,1,9,1,13,1,30,1,28,5,30,1,12,1,13,1,6,1,28,51,29,1,7,1,13,1,17,1,6,3,29,2,28,1,9,1,11,1,9,1,13,1,10,1,29,1,11,1,9,2,16,1,11,2,17,4,11,1,9,1,8,1,13,1,7,1,30,1,29,1,13,1,8,1,10,1,9,1,13,1,6,1,28,1,6,1,13,1,9,1,17,5,16,1,9,1,8,2,11,1,8,1,11,1,9,1,11,1,12,1,11,1,24,1,13,1,29,2,7,2,8,1,6,1,13,1,28,37,30,1,13,1,11,1,12,1,8,1,6,2,29,1,6,1,7,1,29,1,13,1,17,7,11,1,9,2,13,1,8,3,6,1,30,1,6,2,13,2,6,1,8,1,6,1,13,1,8,1,10,1,9,1,11,2,8,1,17,2,9,1,28,16,30,2,29,1,30,1,6,6,7,1,13,1,7,1,6,1,7,1,29,1,6,1,28,1,13,1,6,1,13,1,6,3,30,4,28,2,13,3,8,1,9,1,8,1,13,2,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,7,1,8,1,9,1,8,1,9,2,13,1,9,9,13,1,10,1,8,1,13,1,9,2,13,1,9,5,13,3,8,2,9,1,8,1,11,1,9,1,8,1,13,1,9,2,10,1,13,1,9,1,10,1,11,1,12,1,11,2,12,1,9,1,11,1,17,1,11,2,17,1,16,1,17,26,16,1,11,1,13,1,30,1,29,1,30,3,6,1,29,1,30,1,6,2,30,1,29,1,6,1,30,1,6,3,7,2,6,1,13,1,8,1,10,1,17,1,12,1,11,2,10,2,9,2,8,3,9,2,8,1,13,2,8,1,13,3,7,1,8,1,13,4,8,1,13,4,7,1,13,1,6,4,13,1,30,1,7,1,6,2,29,1,13,1,30,1,7,1,29,1,30,1,6,1,29,1,30,1,6,2,29,1,30,2,6,2,29,1,30,1,6,2,30,2,29,2,30,2,6,4,29,2,6,1,29,2,6,1,29,3,30,1,7,1,6,2,29,1,6,2,29,2,7,1,29,1,7,1,6,2,7,1,6,1,29,1,6,1,30,1,29,1,13,2,8,1,13,4,7,1,6,1,7,1,6,1,8,1,7,2,9,1,13,2,7,1,24,1,13,2,24,1,8,1,9,1,8,1,13,1,8,1,13,2,8,1,24,1,6,1,7,1,13,1,7,1,6,1,30,1,29,2,6,1,28,1,6,2,7,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,13,1,6,1,28,1,30,2,28,5,30,2,28,2,30,4,6,2,29,1,13,1,7,2,9,1,24,1,9,1,10,1,17,1,13,2,7,1,13,1,6,1,7,1,13,1,29,1,6,1,13,1,6,3,28,1,6,1,29,1,6,1,30,2,29,1,30,2,13,1,6,1,13,1,12,1,9,1,17,1,9,1,11,1,10,1,13,2,7,1,8,1,7,1,6,1,13,1,30,2,6,1,29,1,30,2,7,1,6,2,13,1,7,1,8,1,6,1,7,1,13,2,7,1,6,1,13,1,6,1,13,2,8,1,6,1,13,5,6,1,13,1,6,1,7,1,30,1,6,1,30,1,6,1,29,1,28,1,6,2,28,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,13,1,30,1,13,1,7,1,6,2,29,3,7,1,29,1,30,1,6,1,29,1,6,1,30,2,29,1,30,1,6,1,30,1,29,1,28,1,29,1,6,1,30,1,6,3,30,1,6,1,28,1,6,1,30,1,7,1,6,3,30,1,7,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,29,1,6,2,30,3,6,1,28,1,30,2,28,1,30,1,28,8,30,1,28,2,30,2,28,1,30,2,6,3,30,1,7,1,30,1,29,2,30,1,29,1,6,1,29,1,30,2,29,2,30,1,6,2,30,1,29,2,30,2,6,1,29,2,6,1,30,2,6,1,29,1,28,2,29,1,6,1,28,1,6,1,13,1,30,2,29,1,7,1,13,4,8,1,25,1,27,1,26,1,25,1,24,2,13,2,6,1,9,4,8,1,9,1,7,1,30,1,28,1,30,1,28,1,29,2,30,2,28,1,30,1,28,1,30,1,28,1,30,3,6,1,28,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,30,2,29,1,30,3,28,1,29,1,6,1,30,2,13,1,7,1,29,1,6,1,29,1,6,2,13,1,9,1,17,1,9,1,13,2,6,2,30,1,28,2,30,1,28,2,6,1,13,1,8,2,9,1,10,1,9,1,17,1,11,2,17,5,12,1,17,6,11,1,17,2,12,1,10,1,9,2,8,1,13,1,8,1,7,1,9,1,24,1,9,1,24,1,9,2,13,1,10,2,9,1,10,1,9,1,24,1,12,1,9,1,24,1,8,1,24,1,13,1,7,5,13,1,8,2,13,1,8,1,13,2,6,2,29,1,6,1,28,1,29,1,28,1,7,1,13,1,30,3,28,1,30,1,28,6,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,3,16,1,6,2,30,4,6,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,30,3,6,1,30,2,28,1,30,2,28,1,6,1,30,2,6,1,30,2,28,2,30,2,28,1,30,3,28,1,30,2,6,1,13,1,6,1,13,2,8,1,13,2,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,4,30,2,6,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,3,28,3,30,5,6,2,28,1,30,1,6,1,13,2,30,1,29,1,30,3,6,2,28,1,6,1,30,2,6,1,30,3,29,1,6,1,28,1,30,2,29,1,28,1,6,1,13,1,6,1,30,2,6,2,30,4,29,1,28,1,30,1,6,1,30,6,29,1,28,1,6,1,7,1,28,1,30,3,28,2,30,2,28,1,30,1,28,1,30,2,6,1,13,1,8,1,13,1,28,1,30,1,6,1,13,2,28,1,6,1,30,1,6,1,30,4,28,6,30,1,28,1,8,1,30,2,28,1,30,2,29,1,30,3,6,1,30,2,29,1,30,1,28,1,30,1,28,3,29,1,28,2,30,1,28,7,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,14,30,1,7,1,6,1,30,2,28,11,30,1,28,5,30,1,28,5,30,1,28,1,30,1,6,1,28,7,30,1,28,3,30,1,6,1,28,4,30,1,28,8,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,4,6,1,30,1,28,1,6,1,28,1,30,1,28,5,30,2,28,1,30,2,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,4,30,1,28,1,30,1,28,3,30,3,28,3,13,1,28,1,30,1,6,1,28,2,30,1,28,2,30,1,28,2,30,1,28,5,30,3,28,13,13,1,28,16,30,1,28,2,30,2,28,24,30,1,28,11,30,1,28,2,7,1,28,2,30,1,28,9,30,4,28,1,30,1,28,1,30,3,28,3,30,1,28,1,30,1,13,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,5,30,1,28,9,30,1,28,1,30,1,10,1,17,5,10,1,11,1,17,12,16,1,17,12,11,1,17,24,11,1,17,2,11,1,17,4,10,2,24,1,25,1,26,1,25,1,30,1,27,1,29,1,30,1,28,1,30,3,28,16,9,2,13,2,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,10,1,9,1,11,4,17,1,11,6,9,1,10,1,9,1,10,1,11,3,17,5,11,3,16,1,17,2,16,1,17,3,16,1,17,2,16,1,11,1,8,1,9,1,10,1,6,1,30,1,28,4,30,1,28,16,30,1,28,3,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,15,30,3,6,2,30,1,28,6,6,1,30,1,28,1,30,1,28,2,30,2,28,4,6,1,30,1,6,1,13,3,8,1,9,1,8,1,9,1,16,1,10,1,11,2,17,3,12,2,17,3,9,1,13,1,6,1,30,1,6,1,30,1,6,2,7,1,6,1,7,1,6,1,28,1,6,1,28,4,30,2,28,3,30,1,13,1,28,15,30,1,28,1,30,1,28,11,30,1,28,1,30,1,28,1,30,1,6,2,28,1,6,2,30,1,6,1,29,1,13,1,6,1,30,1,7,2,6,2,7,1,29,1,6,4,13,1,6,3,30,1,6,2,7,1,6,3,30,1,6,1,30,1,6,1,7,1,30,1,6,1,28,1,6,3,30,1,6,2,29,1,6,1,13,1,29,1,30,1,6,1,29,1,6,1,30,1,28,1,30,2,28,1,29,1,30,2,29,1,30,2,28,2,30,2,28,2,30,1,28,1,30,2,28,2,30,1,28,25,30,1,28,6,30,1,28,6,30,2,28,1,30,1,28,1,6,1,28,1,30,5,6,1,30,3,6,1,30,1,29,1,30,1,13,2,6,2,7,1,13,1,30,1,13,1,30,1,13,8,9,1,13,1,9,2,11,1,9,1,11,2,17,1,11,1,17,1,12,1,9,1,11,1,17,26,8,1,13,1,6,2,30,3,28,1,29,1,28,2,30,1,28,2,30,4,28,1,30,2,28,1,30,2,28,3,30,1,28,4,30,1,28,5,30,1,28,4,30,1,28,1,30,1,6,1,28,8,30,1,28,2,6,1,28,1,29,2,28,1,7,1,28,1,6,2,30,1,7,1,30,1,6,4,7,1,29,1,7,1,6,5,7,1,6,2,30,1,6,1,30,1,6,1,13,1,6,2,29,1,6,1,13,1,6,4,13,2,30,1,7,1,6,1,7,1,13,1,7,3,13,5,8,2,13,4,9,1,13,1,8,1,13,3,6,1,7,1,9,1,13,1,8,1,13,1,8,1,13,2,9,1,13,1,9,1,8,1,9,6,10,1,9,2,13,1,9,3,11,1,9,2,13,1,10,1,8,3,9,1,8,1,11,1,9,4,11,1,12,1,11,3,16,1,9,1,16,1,11,1,16,1,12,1,17,1,11,1,17,1,12,1,11,2,16,1,12,1,17,2,10,2,12,1,11,2,9,2,11,2,10,1,17,10,16,1,17,3,11,1,17,5,16,1,17,7,10,1,7,1,9,4,8,1,13,3,8,2,13,2,8,2,13,2,8,1,9,2,8,1,9,1,8,1,9,1,8,1,10,1,6,1,30,1,28,15,7,1,17,1,16,1,9,1,10,1,13,1,6,2,13,1,30,1,29,1,28,6,30,1,28,3,30,1,29,1,28,1,13,1,6,1,8,1,12,1,11,1,9,1,17,2,13,1,28,1,30,1,28,3,30,1,8,2,13,1,28,42,6,1,13,1,6,1,28,2,30,1,8,1,17,2,11,1,8,2,13,1,6,1,8,1,7,1,29,1,8,1,9,1,17,2,30,1,28,6,6,1,28,16,}, {17,1,11,1,9,1,6,2,29,1,28,5,15,1,8,1,30,1,28,50,29,2,6,1,12,1,11,1,17,1,13,1,30,2,29,1,28,1,10,1,12,1,9,1,8,1,13,1,24,1,13,1,9,1,11,1,9,1,10,1,17,5,11,1,16,1,9,1,13,1,29,1,30,2,29,1,13,1,17,1,9,1,6,2,13,1,29,1,30,1,8,1,17,5,8,2,11,1,13,1,9,2,8,2,16,1,17,2,8,1,6,1,29,1,13,1,6,1,29,1,6,1,8,1,13,1,28,37,8,1,13,2,9,1,13,1,7,1,6,1,28,1,29,1,30,1,7,1,6,1,17,7,16,1,9,2,10,1,24,1,13,2,6,1,7,2,6,1,29,1,6,1,13,3,11,1,8,1,9,1,10,1,16,1,9,2,17,2,13,1,28,16,6,2,28,1,30,3,6,3,13,1,7,1,13,2,6,1,30,3,6,1,30,2,29,1,6,3,30,1,29,2,30,1,28,2,6,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,8,2,9,1,8,1,13,1,10,1,8,3,9,2,8,2,9,2,13,1,9,1,7,1,9,1,12,1,10,1,9,2,10,2,9,2,13,1,9,2,8,2,9,3,8,1,9,1,13,1,8,2,9,2,8,1,9,4,10,1,9,5,8,1,11,1,9,4,16,1,11,2,17,1,11,2,17,1,16,1,12,1,17,13,12,1,17,6,16,1,17,3,16,1,17,1,13,1,30,9,6,2,30,1,29,1,30,2,29,1,6,2,13,1,6,4,8,1,12,1,17,1,11,1,17,1,24,1,8,1,9,2,11,1,10,1,13,1,8,1,9,3,8,1,7,1,13,1,8,2,13,3,6,1,13,4,6,1,13,2,29,1,13,1,6,4,7,1,6,1,30,1,13,1,7,1,29,1,6,4,28,1,6,2,7,1,13,1,30,1,6,2,30,2,13,1,29,1,6,1,30,1,29,1,6,2,29,1,6,2,29,1,30,1,6,5,30,1,6,3,13,1,30,1,6,6,30,1,6,1,29,1,6,2,30,1,7,1,29,1,6,3,7,1,6,1,13,1,6,1,29,1,30,1,6,1,8,1,7,1,6,3,7,1,29,1,7,2,13,1,6,1,13,2,9,1,13,1,8,3,24,1,7,1,8,3,13,1,8,2,6,3,8,1,6,1,28,1,6,1,30,2,29,1,30,4,29,3,6,1,29,1,6,1,30,1,6,1,7,1,29,1,7,2,30,1,29,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,6,1,29,1,6,2,13,1,6,1,8,1,24,1,9,1,10,1,12,1,13,2,6,1,13,1,8,1,13,3,6,1,13,1,6,2,7,2,30,3,29,1,30,3,28,1,30,1,13,1,8,2,9,2,11,1,10,3,13,1,7,1,6,1,13,1,7,1,6,2,30,1,28,1,30,1,29,1,6,1,29,1,6,1,7,1,13,4,9,1,7,1,8,1,13,1,7,1,13,1,7,1,13,7,8,1,13,1,6,1,7,1,13,1,30,1,6,2,30,1,28,1,30,1,6,1,30,1,6,1,30,1,6,2,7,1,13,1,6,1,13,1,6,2,29,1,6,3,29,1,6,3,29,3,30,1,29,2,30,1,6,1,29,1,6,2,30,1,6,2,30,2,6,1,29,1,6,2,29,1,6,1,30,1,6,5,30,1,6,1,29,1,30,2,29,2,6,4,30,1,29,1,30,1,6,1,29,1,30,4,28,2,30,1,28,1,30,4,29,1,28,1,29,1,28,1,30,3,6,1,30,1,6,1,29,1,6,7,30,2,13,1,30,2,29,1,30,1,6,2,30,1,13,1,7,1,6,4,29,1,30,2,28,2,30,1,28,1,30,1,29,1,30,3,28,1,29,1,30,1,6,1,13,1,29,1,13,1,8,1,6,1,8,1,13,2,25,1,26,1,27,2,26,1,8,1,24,1,8,1,6,1,8,1,9,5,13,1,6,2,30,2,6,1,30,13,6,1,30,2,29,1,30,2,29,1,30,4,28,2,30,1,29,1,30,3,29,1,6,1,30,3,29,1,30,1,28,1,6,1,30,2,29,1,6,1,30,1,7,1,9,1,8,1,9,1,8,1,13,2,6,1,30,2,29,1,30,1,6,1,13,1,8,2,9,2,17,1,12,1,10,1,11,1,17,11,11,2,9,1,8,1,9,1,13,1,8,1,13,1,7,1,13,2,8,1,13,3,10,1,24,2,8,1,9,1,24,1,9,1,8,1,9,1,13,1,24,1,8,1,7,2,6,3,7,1,6,1,13,1,6,2,7,1,6,1,13,1,6,1,29,1,6,1,30,5,6,2,28,7,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,9,2,6,2,30,3,28,2,30,6,6,1,30,2,6,2,30,1,29,1,6,1,30,1,29,1,28,1,30,5,29,1,28,1,6,1,30,3,29,1,28,1,6,1,28,1,30,2,6,2,13,2,28,1,30,2,6,1,30,3,28,2,30,1,28,1,30,2,28,7,30,1,6,1,28,3,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,7,1,28,1,30,1,28,2,30,6,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,3,28,1,6,1,28,1,30,1,28,1,13,2,6,5,30,5,28,1,6,1,28,1,30,4,28,1,30,4,6,2,13,1,30,1,6,2,30,3,6,1,30,4,6,1,28,1,29,1,30,1,28,1,30,1,29,1,28,1,30,1,28,1,6,2,30,2,28,1,30,6,29,1,28,1,30,1,6,2,29,1,6,3,28,5,6,4,30,1,6,2,30,1,29,1,28,1,30,3,28,2,11,1,30,2,28,1,29,1,30,1,6,1,30,3,6,1,28,2,30,3,28,3,30,2,28,2,30,1,28,9,30,1,28,3,30,3,6,1,28,3,30,1,28,2,30,1,28,11,13,2,6,1,28,9,30,2,28,1,30,1,28,1,30,1,28,9,30,1,28,6,30,1,28,3,30,1,28,14,30,1,28,15,30,1,28,4,30,1,28,2,30,2,28,1,29,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,3,30,1,28,7,30,2,28,4,30,2,28,3,30,1,28,6,13,2,28,1,30,3,28,1,30,1,28,3,30,1,28,5,30,3,28,9,30,1,28,4,6,1,28,4,30,1,28,3,30,1,28,5,30,2,28,2,30,1,28,12,30,2,6,1,28,4,30,1,28,32,30,1,28,4,30,2,28,1,30,3,28,1,30,2,28,2,30,2,13,1,30,2,28,13,6,1,30,1,28,8,30,1,28,6,30,1,28,1,6,1,16,1,17,4,10,1,11,1,10,1,17,21,11,1,17,25,16,1,17,2,11,1,17,1,11,1,17,4,12,3,8,1,25,1,26,2,30,1,29,1,30,1,28,1,29,1,30,3,28,14,30,1,9,1,13,2,8,1,13,3,9,1,13,1,8,1,9,5,17,1,11,2,10,1,11,1,17,1,11,4,9,1,10,2,9,1,11,2,17,1,16,1,17,5,11,3,17,1,11,1,17,4,11,1,17,1,11,1,17,1,11,1,16,1,10,1,9,1,13,1,30,1,28,20,30,1,28,2,30,1,29,1,28,4,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,8,30,2,7,1,30,1,28,5,30,1,28,3,30,1,28,12,6,1,13,1,6,2,8,2,9,1,17,1,11,2,17,3,11,1,12,1,9,1,11,1,12,1,17,2,9,1,13,1,6,2,30,1,13,2,29,1,6,5,30,3,28,5,30,1,28,1,7,1,6,1,28,35,30,1,28,2,29,1,7,1,6,7,29,1,7,1,6,1,30,1,6,1,29,2,6,1,30,1,6,1,30,2,6,8,30,1,6,2,28,1,6,1,30,1,7,1,30,1,6,1,7,1,6,3,7,1,29,1,6,2,30,4,28,1,30,4,6,2,30,2,28,2,29,1,28,1,30,1,28,3,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,9,30,2,28,16,30,1,28,3,30,2,28,1,30,3,6,1,28,1,30,1,6,1,30,1,29,1,30,3,29,1,30,1,6,2,30,1,6,1,30,1,6,1,13,1,6,2,13,1,6,1,13,1,6,2,13,1,7,1,13,7,9,1,12,1,17,1,10,1,11,2,17,2,11,1,17,1,10,1,12,1,11,1,17,5,16,2,17,19,16,1,13,1,7,1,6,3,30,3,28,1,29,1,30,1,29,1,30,3,29,1,30,2,29,1,28,1,6,1,30,2,28,12,30,1,28,2,30,1,28,2,30,1,28,7,30,1,28,6,30,4,28,1,30,3,29,1,13,1,30,1,28,1,6,2,30,1,29,2,7,1,29,1,6,1,29,1,13,1,6,1,13,1,30,1,7,1,30,1,6,4,7,1,28,1,13,1,29,1,6,1,7,1,30,1,6,2,13,1,6,3,13,1,7,1,13,1,30,1,6,1,7,1,6,1,7,1,13,1,6,1,13,1,7,1,8,1,9,1,8,1,13,9,8,1,13,6,8,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,4,11,1,8,1,13,1,9,2,8,1,9,1,8,1,9,2,8,1,9,2,8,1,9,1,8,1,9,8,11,1,9,1,11,1,9,1,12,1,11,1,10,2,17,1,10,1,17,1,16,1,11,1,12,1,11,1,10,1,16,1,17,1,16,3,11,2,9,1,8,1,11,2,9,4,11,1,17,6,16,1,17,18,16,2,13,2,9,2,8,1,9,2,13,2,9,1,13,3,8,2,13,4,8,1,9,3,11,1,8,1,13,2,30,1,28,15,9,1,17,1,16,1,9,1,8,1,7,1,6,1,13,1,6,1,29,1,13,1,29,1,28,9,29,1,28,1,6,1,7,2,10,1,11,3,17,2,8,1,28,4,6,1,28,1,13,1,9,1,8,1,7,1,28,41,30,1,6,1,28,3,29,1,9,1,17,2,9,1,7,1,13,2,29,1,7,1,6,1,7,1,8,1,9,1,17,1,11,1,28,7,30,1,28,16,}, {17,1,9,1,7,1,13,1,6,1,28,3,30,1,28,2,15,1,9,1,29,1,28,49,30,2,7,1,13,1,9,1,16,1,11,1,9,1,6,2,29,1,28,1,8,1,9,1,8,1,9,1,6,1,13,1,8,1,10,1,11,3,17,5,11,2,8,1,7,1,6,2,30,1,6,1,8,1,9,1,10,1,13,1,7,1,8,1,28,1,13,1,9,1,17,4,16,1,8,1,9,2,8,1,9,1,13,2,9,1,11,1,17,1,12,1,7,1,6,3,7,1,6,1,28,1,8,2,28,36,30,1,13,1,9,3,11,1,13,1,6,1,30,1,6,1,30,1,6,1,7,1,12,1,17,6,16,2,11,1,9,2,8,1,13,1,7,1,29,1,13,1,6,3,7,1,13,3,8,1,10,2,12,1,16,1,11,1,16,1,17,1,13,1,28,16,30,2,6,1,30,1,13,1,6,2,13,6,6,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,2,28,1,30,1,28,2,30,1,8,4,9,1,8,2,13,2,9,1,8,1,9,3,13,1,8,1,9,1,8,1,13,1,9,1,8,5,9,5,11,2,9,1,8,1,9,3,8,1,13,1,8,1,9,3,8,1,9,5,11,1,9,1,10,1,9,1,13,3,9,4,10,1,9,4,10,1,16,1,11,3,16,2,11,2,10,2,17,3,11,1,16,1,17,1,16,2,17,3,12,1,17,12,11,1,17,1,13,1,29,1,30,1,29,1,30,6,6,2,30,1,6,1,29,1,6,2,7,1,6,2,7,1,13,2,6,1,13,2,8,1,17,2,12,1,17,1,11,1,9,2,10,1,9,3,13,1,8,1,13,1,10,1,8,1,13,1,8,1,7,1,9,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,7,1,6,1,13,1,6,1,13,2,7,2,6,1,7,1,30,2,29,1,6,7,7,1,6,2,7,1,30,1,6,1,29,1,6,1,29,2,6,1,29,1,6,2,29,2,6,3,7,1,30,1,29,3,6,1,7,1,30,1,6,1,29,1,6,1,30,2,6,1,29,1,6,3,30,2,6,1,29,1,30,1,7,1,30,1,29,1,30,2,7,1,28,2,6,3,8,1,13,3,7,1,6,3,13,1,6,1,7,1,13,1,6,1,29,1,13,5,8,2,13,3,8,1,13,3,6,1,13,1,8,1,13,1,6,1,29,1,28,1,6,2,30,1,6,2,29,1,6,2,29,1,6,1,30,1,6,1,7,1,6,1,13,1,30,1,7,1,30,2,28,2,30,1,28,6,30,2,28,1,30,1,28,1,30,3,6,3,7,1,6,1,13,1,8,1,24,1,9,2,17,1,24,1,13,2,6,1,8,1,13,1,6,1,7,1,6,1,13,1,6,4,29,2,6,3,30,1,29,1,30,1,13,3,9,1,13,1,24,1,17,1,9,1,17,1,9,1,8,2,13,3,6,2,28,1,6,1,30,2,29,1,6,2,13,1,6,1,29,1,13,3,8,1,6,1,13,3,6,1,13,1,8,1,13,1,8,1,7,1,13,2,24,1,7,1,13,2,30,1,29,2,28,1,30,1,29,1,30,2,29,1,30,2,6,2,28,1,30,1,6,1,13,1,7,1,28,1,7,1,30,1,29,1,6,3,29,1,6,2,30,2,29,1,6,1,30,1,7,2,6,1,7,2,29,1,6,3,30,2,6,1,29,1,13,1,29,1,6,3,30,1,6,1,29,1,30,1,6,1,28,1,6,1,29,1,7,1,30,1,6,1,7,1,6,3,30,1,6,1,29,1,30,2,6,1,29,1,30,1,29,1,28,1,30,1,28,2,30,8,28,1,6,3,13,1,6,2,29,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,29,1,30,1,29,1,30,1,6,2,30,4,29,1,28,1,30,6,28,1,29,1,30,1,28,1,6,1,30,2,6,1,13,1,6,1,9,1,7,1,8,1,24,1,25,1,24,2,25,1,27,2,25,1,8,3,6,1,13,1,8,2,9,2,13,1,7,1,30,3,28,1,30,6,6,1,30,2,28,1,30,2,6,2,30,3,7,1,6,1,30,2,6,1,30,2,6,2,30,1,28,1,6,1,30,1,28,2,30,1,28,1,6,4,30,1,28,1,6,2,28,2,30,1,29,1,6,1,30,1,29,1,6,1,7,1,6,1,13,3,6,1,13,1,30,1,28,1,6,1,7,1,13,2,8,1,9,1,10,1,11,1,10,1,12,1,17,1,12,1,17,7,12,1,11,1,12,1,8,3,13,1,8,2,13,1,6,1,7,2,12,1,6,1,7,1,13,1,8,1,9,1,10,1,8,3,24,1,8,1,13,1,7,1,6,1,7,1,6,1,7,1,6,1,30,1,6,2,29,1,13,1,29,1,7,1,6,2,29,1,28,1,6,1,30,1,28,2,30,1,6,2,30,1,28,1,30,1,28,2,30,3,28,2,30,2,28,2,30,1,28,3,30,1,28,3,30,5,28,1,30,1,28,1,30,1,13,1,6,1,28,2,30,3,6,1,30,1,28,1,30,1,6,1,30,3,28,1,30,5,28,1,30,2,28,1,6,1,30,3,28,1,30,2,28,1,30,1,6,1,30,1,29,1,30,2,6,1,28,1,30,1,6,1,30,3,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,8,30,2,28,3,30,1,28,3,30,1,7,1,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,30,2,28,1,30,3,13,3,30,2,6,2,30,1,6,1,28,1,6,1,30,3,6,1,28,1,30,2,28,1,30,3,6,1,28,1,30,1,6,1,30,1,29,1,6,2,30,1,6,1,28,1,6,1,29,1,30,5,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,29,1,6,1,30,3,28,1,30,4,28,2,30,1,28,1,6,1,29,1,28,1,30,4,28,1,29,1,28,1,6,1,30,1,6,2,29,1,28,2,6,1,28,2,30,2,6,1,28,2,6,1,13,1,30,1,28,1,6,1,13,1,28,2,30,1,28,6,30,4,28,3,30,3,28,1,30,1,28,2,6,1,30,2,28,2,30,3,28,2,30,1,29,1,28,1,29,1,30,1,28,1,30,1,28,12,30,1,8,1,13,1,28,19,30,2,28,15,30,1,28,13,30,1,28,6,30,1,28,2,30,1,28,9,6,1,28,11,30,1,6,1,30,6,6,1,28,4,30,1,28,1,30,1,28,11,30,1,28,4,30,1,28,3,30,1,28,1,30,1,6,1,30,4,28,1,30,1,28,1,30,1,28,2,6,1,28,4,30,1,13,1,30,2,28,10,6,1,28,3,13,1,28,2,30,1,28,2,30,1,28,11,30,1,28,14,30,2,28,4,30,1,28,11,30,2,28,1,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,4,30,1,29,1,6,1,28,1,30,2,28,8,6,1,29,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,2,30,3,28,5,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,2,6,1,17,5,16,1,17,49,11,1,17,1,11,1,17,1,11,1,17,1,11,2,17,3,12,1,24,2,8,1,25,1,6,2,30,2,28,1,30,4,28,14,9,1,13,2,7,1,13,1,8,1,13,1,9,3,8,1,9,3,11,1,9,1,17,1,10,1,11,2,9,2,11,1,8,1,11,1,10,1,9,3,17,1,11,2,17,6,9,1,11,4,17,3,12,1,17,1,16,1,11,1,17,1,11,3,9,2,6,1,30,1,28,1,30,1,28,6,30,1,28,14,29,1,30,2,28,1,30,2,28,17,30,1,7,1,28,1,30,1,28,21,29,1,30,2,29,1,13,3,9,1,13,1,9,1,11,1,12,1,17,3,11,1,10,1,9,1,10,1,11,1,17,3,9,1,13,1,6,2,13,3,30,1,7,1,6,1,13,1,6,1,30,4,28,1,30,2,28,3,6,1,13,2,28,34,6,1,28,1,30,1,6,3,29,1,30,1,13,1,6,1,7,1,6,5,30,1,29,1,28,1,13,1,29,1,6,1,30,1,6,1,30,1,6,2,29,1,30,1,7,2,30,1,6,2,30,1,7,1,13,1,6,1,13,1,6,3,30,1,6,1,29,1,6,6,30,1,28,1,30,3,6,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,5,30,2,28,23,30,1,28,6,30,2,28,1,30,1,28,1,29,1,6,3,29,1,30,1,7,1,6,2,30,1,6,1,13,1,6,1,29,1,6,4,13,1,6,2,30,1,8,1,13,5,8,1,7,1,6,1,8,1,6,1,9,3,11,1,12,1,11,2,12,1,11,1,12,1,11,1,12,1,11,2,10,1,17,27,11,1,13,2,6,1,7,1,30,6,29,1,28,1,30,1,29,1,30,4,28,1,30,4,28,6,30,1,28,2,30,1,28,2,30,1,28,9,30,1,6,1,28,3,30,1,28,4,30,1,28,2,30,3,6,1,30,1,13,2,30,2,29,1,30,2,6,3,7,1,13,1,6,4,30,1,6,1,30,1,6,2,29,1,6,1,30,1,29,1,30,1,6,2,30,1,29,3,13,1,7,1,6,2,7,1,6,5,29,1,6,3,13,3,8,1,7,1,13,5,6,1,13,1,7,1,13,2,6,1,13,8,9,2,13,1,9,4,8,1,9,1,8,2,9,1,8,1,13,1,8,3,9,3,8,1,10,1,9,2,8,1,9,2,13,1,9,3,8,1,9,1,8,1,11,1,9,1,11,6,10,1,11,1,9,1,11,2,16,1,17,2,9,1,11,1,16,1,12,1,17,1,9,1,11,1,16,1,11,1,16,1,9,1,11,3,9,2,10,1,11,2,17,12,16,1,17,2,16,1,17,5,16,1,11,1,13,2,9,1,13,1,9,3,8,1,9,1,13,4,9,1,8,2,13,2,8,1,13,1,9,1,8,1,9,1,8,2,9,1,13,1,6,1,28,15,8,1,17,2,9,1,6,2,13,3,7,1,6,1,30,1,28,10,6,1,30,1,13,1,7,1,9,2,16,1,10,1,17,2,13,1,28,4,30,1,29,1,13,1,8,1,13,1,30,1,28,41,13,1,7,1,30,1,28,2,30,1,16,1,17,2,9,1,7,1,13,2,6,4,9,1,11,1,17,1,16,1,28,24,}, {17,1,16,1,8,1,13,1,6,1,28,2,30,1,28,2,30,1,13,1,17,1,7,1,28,50,13,1,7,2,9,1,17,1,9,2,6,1,28,1,30,2,9,1,17,1,11,1,9,1,8,1,6,1,8,3,17,1,9,1,17,5,16,1,11,1,9,1,13,1,6,2,29,1,30,1,13,1,12,1,11,1,8,1,7,1,6,1,7,1,30,1,13,1,17,5,11,1,8,1,13,1,9,1,13,1,8,1,24,1,8,1,17,3,8,1,6,2,13,1,6,1,7,1,30,1,24,1,7,1,28,36,30,1,7,1,13,1,8,1,9,1,13,1,29,2,6,1,30,1,28,1,29,1,6,1,9,1,17,6,16,1,11,1,16,1,17,1,9,1,13,3,6,1,13,1,30,1,6,4,13,1,8,1,13,1,16,1,9,2,17,1,11,2,17,1,9,1,28,16,6,1,30,1,6,2,28,1,6,1,13,1,6,1,13,2,6,1,13,2,6,2,30,2,6,3,30,1,29,1,13,1,6,2,13,1,6,1,30,1,28,2,6,1,13,1,8,1,13,1,8,1,9,3,8,1,9,3,8,1,9,1,8,1,9,2,13,4,8,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,10,1,11,1,9,2,8,2,9,1,8,1,9,3,8,1,9,3,8,1,9,1,13,1,10,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,2,8,2,9,5,11,2,10,1,17,5,16,1,11,1,16,1,17,1,9,1,12,1,17,2,9,1,11,3,17,2,11,1,17,6,16,1,17,1,16,1,17,3,16,1,13,1,30,1,6,1,30,2,28,1,6,2,30,2,6,2,29,1,6,2,7,1,13,1,30,1,6,1,30,1,13,2,7,1,13,1,7,1,13,1,30,1,13,1,9,1,12,1,17,1,12,1,17,1,9,1,8,2,9,2,8,1,9,1,8,2,10,1,8,1,13,1,8,1,13,2,9,1,8,1,13,2,7,1,13,6,6,1,13,3,6,1,7,1,13,1,6,1,30,1,13,1,29,1,6,4,29,1,13,1,6,3,29,1,6,3,7,1,6,2,30,1,6,2,30,1,6,3,29,2,6,2,29,1,30,1,29,2,30,1,7,1,6,4,29,1,6,3,30,1,6,1,7,2,6,1,7,1,6,1,29,1,6,1,30,1,6,1,13,1,6,1,13,1,9,1,11,1,9,2,8,1,13,2,6,4,7,3,6,1,7,1,6,1,13,1,6,1,9,1,13,1,6,1,13,3,9,1,13,2,7,1,13,2,7,1,13,3,7,1,30,1,6,1,29,3,30,1,29,2,6,1,7,1,30,1,6,2,29,1,7,1,29,1,6,2,30,4,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,1,6,1,30,3,6,1,7,1,13,3,8,1,24,1,8,1,12,1,10,2,9,1,29,1,13,2,8,1,7,2,13,1,30,1,13,1,6,1,29,1,6,4,30,2,6,1,30,1,29,1,7,1,13,1,6,2,13,1,7,1,9,1,17,1,9,3,13,2,30,1,6,1,7,1,6,5,13,1,6,1,29,2,13,1,6,1,13,3,8,2,13,1,8,1,6,1,13,1,8,1,7,1,6,1,13,3,7,2,8,1,13,1,6,1,7,1,30,1,29,2,30,1,28,1,30,3,6,6,29,1,13,1,6,3,7,1,30,1,6,2,29,1,6,1,29,1,30,1,6,6,29,1,6,1,30,1,28,1,6,1,30,1,28,1,6,1,30,2,6,1,28,1,6,2,7,2,30,1,7,1,6,1,29,1,30,1,7,1,29,1,6,1,30,2,6,2,30,1,29,1,28,1,6,1,13,1,6,1,30,1,6,1,29,1,30,1,29,1,30,4,29,1,6,1,30,1,6,1,28,1,30,5,28,1,29,1,13,1,7,1,6,1,29,1,30,1,7,1,6,1,30,1,6,4,30,3,6,1,30,1,29,1,30,2,29,1,6,1,29,1,6,1,29,1,30,1,6,2,29,1,6,2,30,2,6,1,28,1,30,3,29,1,28,1,30,1,6,2,8,3,24,1,13,1,24,2,25,1,8,1,24,2,25,1,27,1,8,1,24,2,6,1,7,1,6,1,12,1,13,1,8,1,9,1,13,1,6,1,29,1,30,3,6,2,28,1,30,1,6,1,28,2,30,4,6,3,13,1,6,1,30,1,6,1,7,1,30,2,28,1,29,1,30,2,6,1,29,1,6,1,29,1,30,1,29,1,28,1,6,1,30,1,29,1,30,1,6,1,28,1,6,3,30,2,28,1,30,3,6,3,7,1,30,1,6,2,30,1,6,1,13,3,6,1,9,4,8,1,9,1,8,1,17,1,9,1,17,1,11,1,12,1,17,1,12,1,17,2,12,1,17,1,10,1,9,2,8,1,7,1,13,3,6,3,30,1,7,1,9,1,7,1,6,1,7,1,24,1,13,1,24,1,13,1,9,1,13,2,8,1,13,1,7,1,28,1,29,1,30,1,28,1,30,2,29,1,30,1,29,1,6,2,28,1,6,1,30,1,29,1,28,1,29,1,30,2,28,1,6,1,7,1,30,1,28,3,30,1,28,1,30,1,28,5,30,1,28,3,30,2,28,2,30,1,28,5,30,2,28,2,29,1,30,1,11,1,30,1,28,1,29,1,28,1,30,2,28,1,30,4,28,2,30,2,28,1,30,1,28,2,6,1,28,1,30,1,28,1,6,1,28,1,30,1,29,1,28,1,30,3,6,1,28,2,6,2,7,2,13,3,7,1,30,1,28,1,30,1,28,1,29,1,30,2,28,3,30,1,6,1,28,1,30,1,28,7,30,3,28,1,6,1,28,1,30,2,28,7,30,1,28,1,30,3,28,1,30,2,29,1,28,1,30,1,28,3,30,3,6,1,28,2,30,3,28,2,30,3,28,1,30,1,28,1,30,1,28,1,6,2,13,1,6,1,30,1,29,1,6,4,30,3,6,1,30,2,29,1,30,3,28,1,30,2,28,1,30,1,6,3,30,5,6,1,28,1,6,1,30,3,6,1,30,2,28,1,30,4,28,1,30,2,6,2,28,1,6,2,30,3,28,1,30,2,6,1,30,2,13,2,30,1,28,2,30,1,28,1,30,2,28,1,30,1,6,1,28,1,6,2,30,1,6,1,30,1,28,1,6,1,30,4,28,1,6,4,7,1,28,3,30,1,28,1,30,1,28,3,30,1,28,2,9,1,28,1,30,1,28,4,30,3,28,4,30,1,28,2,30,1,28,1,30,2,7,1,30,1,28,3,30,2,28,11,30,1,6,1,11,2,28,13,30,1,28,2,30,2,28,5,30,1,28,4,30,1,28,2,30,1,28,4,30,1,28,11,30,2,28,1,30,1,28,2,30,1,28,12,30,1,28,17,30,3,28,3,30,1,28,4,30,1,28,14,30,1,28,9,29,1,28,1,6,1,28,2,30,1,28,7,30,1,28,2,6,1,13,1,30,1,28,2,30,1,28,4,30,1,28,2,30,2,28,1,30,1,28,1,13,2,30,1,28,2,30,1,28,1,30,1,28,11,30,1,28,4,30,1,28,8,30,1,28,7,30,1,28,17,30,1,28,1,30,1,28,1,30,1,28,12,30,2,28,1,30,1,28,2,6,1,8,1,7,1,13,1,17,1,16,1,9,2,10,1,8,1,28,2,30,1,28,11,30,1,6,1,28,4,30,1,28,2,30,1,28,6,30,1,28,2,6,2,13,1,9,1,17,58,10,1,17,1,12,1,17,6,8,1,13,1,6,3,28,3,29,1,30,3,28,14,11,1,13,4,8,2,9,1,13,1,9,1,8,1,10,1,9,1,11,1,9,3,11,2,17,2,11,1,9,1,12,1,11,2,9,4,10,1,16,1,17,4,16,1,11,1,10,1,11,5,12,1,17,2,16,1,17,1,16,1,11,1,17,1,11,2,17,1,11,1,13,1,6,1,28,5,30,1,28,4,30,1,28,15,30,1,28,2,30,3,28,3,30,1,28,5,30,1,28,4,6,1,30,1,28,1,30,1,28,23,30,1,6,1,13,4,8,1,9,1,11,1,17,2,11,1,10,1,12,1,9,2,11,2,12,1,16,2,11,1,13,1,6,1,7,1,6,2,13,1,6,1,13,1,6,2,7,1,6,1,30,1,28,1,30,1,28,5,30,1,6,1,30,1,6,1,28,35,6,1,30,3,6,1,29,1,28,2,30,1,6,1,29,1,7,1,30,1,6,1,29,1,6,2,30,1,6,1,28,1,6,1,30,1,6,3,30,1,6,1,28,1,6,2,13,1,30,1,13,2,6,1,7,1,6,1,30,1,6,3,30,3,29,1,30,1,6,1,30,1,7,1,6,1,30,1,6,1,30,1,29,1,30,5,28,1,30,1,28,1,30,1,28,1,29,1,28,3,30,5,28,2,30,1,28,1,30,3,28,1,30,1,28,11,30,1,28,2,30,1,28,9,30,1,28,7,30,1,28,2,6,1,30,2,6,1,30,1,28,1,6,3,30,2,6,1,29,1,6,1,30,1,13,1,6,1,7,1,13,2,7,1,6,1,13,2,6,1,13,1,6,1,13,3,8,2,9,1,13,1,8,2,9,1,10,1,11,1,10,2,9,1,17,1,9,2,11,1,12,1,9,1,11,2,17,4,11,1,17,24,13,1,6,1,29,1,6,1,30,1,29,1,30,3,28,1,29,1,6,2,30,4,29,1,28,1,30,2,28,14,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,13,1,29,1,28,1,6,1,30,1,6,3,30,2,13,1,30,1,6,2,30,1,6,6,29,1,6,1,30,1,7,1,6,2,29,1,13,1,6,3,29,1,6,1,30,1,6,1,13,1,29,1,13,1,6,1,29,1,13,1,6,1,13,1,6,1,13,2,9,1,6,1,8,1,13,1,6,1,13,1,30,1,13,1,8,1,6,1,8,1,13,2,7,1,13,11,8,2,13,1,8,2,13,1,8,1,13,1,8,1,13,2,9,1,8,1,13,1,8,1,9,1,8,2,11,1,13,1,8,1,9,3,8,1,10,1,8,1,13,1,9,2,8,1,9,1,10,2,9,2,8,1,11,1,9,4,11,1,10,1,11,1,17,1,9,1,10,1,16,1,12,3,17,1,16,1,9,2,12,1,9,2,11,2,9,1,10,1,9,1,11,1,9,2,11,1,17,9,16,1,17,10,16,1,9,1,8,3,9,3,8,2,9,2,13,1,9,1,8,1,9,1,8,1,13,3,9,1,13,1,9,1,13,1,8,2,9,2,8,1,28,16,13,1,17,1,12,1,9,1,8,1,13,2,8,1,7,1,6,2,28,9,30,1,6,1,28,2,13,2,10,1,11,1,9,2,17,2,13,1,28,3,30,1,29,1,30,1,6,2,8,1,28,42,6,2,30,1,28,2,13,1,16,1,17,1,16,1,9,1,6,1,7,1,13,1,6,1,13,1,30,1,6,1,9,1,11,1,17,1,11,1,28,6,30,1,6,1,28,16,}, {17,1,11,1,13,2,6,1,28,6,8,1,15,1,30,1,28,50,29,1,24,2,9,1,12,1,9,1,13,2,28,1,30,1,28,1,8,2,9,1,13,1,7,1,13,3,17,1,8,1,11,1,17,7,13,2,29,1,30,1,29,1,30,1,13,1,17,1,6,2,7,1,13,1,6,2,13,1,17,1,16,1,17,2,9,2,11,1,10,1,8,1,13,2,8,1,11,1,17,3,13,1,6,2,30,1,6,3,7,1,13,1,28,37,6,1,9,1,13,1,8,1,24,1,7,1,6,1,30,1,29,1,28,3,9,1,17,7,11,1,9,1,10,1,9,1,24,1,8,1,7,2,6,1,13,1,29,1,6,2,30,1,13,1,8,2,9,3,17,2,12,1,17,1,11,1,28,16,6,1,30,2,6,1,29,2,30,1,13,1,6,2,7,2,13,1,6,2,7,1,6,1,30,1,6,1,28,1,30,1,6,2,7,1,6,1,30,2,6,1,30,2,13,2,9,3,8,2,11,1,13,1,8,1,9,3,13,3,8,1,13,1,9,5,12,1,10,1,9,3,11,1,9,1,8,1,9,4,8,1,13,1,9,1,13,1,9,1,13,1,9,1,11,1,9,1,8,1,9,2,8,1,13,1,9,4,8,2,9,1,8,1,9,4,10,1,13,1,9,1,13,1,12,1,11,1,9,1,16,1,17,1,9,1,17,1,11,1,17,1,11,1,17,3,12,1,17,2,11,1,17,3,11,1,16,1,17,14,16,2,9,1,30,4,29,1,30,2,6,4,13,1,6,3,30,1,6,3,30,1,6,1,13,1,6,2,8,1,29,1,6,2,13,1,11,1,17,4,10,2,11,1,9,1,7,1,8,2,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,2,8,1,13,3,7,1,13,1,6,1,13,1,6,1,7,1,8,1,7,1,6,1,13,2,6,2,7,2,6,1,7,1,6,9,30,1,6,1,30,1,6,5,29,1,6,4,30,2,7,1,6,2,30,1,29,2,7,1,30,1,6,1,29,1,13,1,6,1,7,1,6,2,29,1,6,2,29,1,6,2,7,1,13,1,6,1,29,1,13,1,9,1,11,1,9,1,17,1,10,1,17,1,11,1,12,1,17,1,9,1,6,2,30,1,6,2,7,1,13,1,6,1,30,1,6,4,13,1,8,1,13,1,8,1,6,1,7,1,8,1,13,2,7,2,13,1,6,1,13,1,7,1,6,2,30,2,6,1,30,1,28,1,6,3,7,2,6,2,13,1,28,1,6,1,29,1,28,1,29,1,28,2,30,1,28,2,30,1,28,6,30,1,29,1,28,2,30,1,29,1,30,1,29,1,6,4,13,1,7,1,9,1,13,1,24,1,10,1,24,1,9,1,8,2,6,3,13,1,7,1,30,1,6,1,7,1,30,1,7,1,30,1,6,3,29,1,30,2,6,1,30,1,13,2,6,1,8,1,13,1,8,1,9,2,24,1,9,1,8,1,13,1,8,1,7,2,6,1,30,1,6,1,30,2,29,1,6,2,30,1,6,1,8,1,6,1,13,9,8,3,13,2,7,1,8,1,6,1,7,1,6,1,28,1,6,1,28,3,6,1,30,2,6,2,30,1,6,1,29,3,13,1,6,5,30,1,6,4,7,1,6,1,29,1,6,2,29,1,6,1,7,1,29,1,6,1,30,1,29,1,30,2,6,2,28,1,6,2,30,1,29,1,30,1,6,2,30,1,6,2,13,1,6,1,30,1,28,1,6,2,7,1,30,1,29,2,6,4,30,1,29,1,6,1,30,2,6,1,30,3,6,1,29,1,30,1,29,1,30,1,6,2,30,2,29,1,6,1,13,1,6,2,30,1,6,1,29,1,30,1,7,1,29,1,6,2,30,3,29,1,6,2,30,1,6,1,30,3,29,1,13,1,6,1,29,1,6,1,30,1,28,1,29,1,6,1,30,1,28,1,6,1,29,2,30,1,29,3,6,4,8,2,24,1,7,1,8,2,24,2,8,1,24,3,27,1,26,1,24,1,8,1,24,1,13,2,7,1,8,1,9,2,10,1,8,1,13,1,28,1,6,1,29,2,30,2,6,1,30,3,28,1,30,2,28,1,30,1,29,1,13,1,6,2,28,1,30,4,28,1,6,1,29,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,3,28,2,30,1,28,2,30,3,6,1,29,1,30,1,6,4,29,1,6,4,30,2,28,2,30,1,6,2,13,1,10,1,17,2,9,1,8,1,9,2,12,2,17,1,12,1,17,1,12,1,11,1,9,2,8,2,13,4,6,2,29,1,6,2,13,2,6,2,7,1,13,4,24,1,7,1,13,1,6,3,28,1,29,1,28,1,30,1,28,6,30,1,29,1,28,1,29,1,28,1,30,2,28,1,6,1,13,2,28,1,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,4,30,2,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,13,1,11,1,6,1,30,2,28,3,30,4,28,2,30,2,28,3,30,3,28,1,30,4,28,1,30,1,28,1,30,2,28,1,30,5,6,1,30,1,6,2,30,3,28,1,30,2,28,4,30,2,28,1,6,1,28,1,6,1,28,1,30,2,28,1,30,1,28,3,30,2,6,2,30,2,28,1,30,1,28,1,30,4,28,1,30,1,28,4,30,6,28,1,30,2,6,1,30,1,6,3,28,2,30,5,6,1,30,3,28,1,6,2,13,2,6,2,29,1,6,1,30,2,29,1,30,1,29,1,30,2,6,1,30,5,6,2,30,1,28,1,30,1,6,3,29,1,30,3,6,1,30,1,29,1,30,1,28,1,30,1,28,3,30,2,6,1,30,1,28,2,30,1,6,1,28,1,30,1,6,3,30,3,28,3,30,1,29,2,6,1,13,2,6,1,30,3,28,1,6,1,30,2,28,1,30,3,6,1,28,2,6,1,28,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,13,1,9,1,30,2,29,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,29,1,28,5,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,28,1,30,2,6,1,28,2,30,2,28,5,13,1,30,1,6,1,30,1,13,2,6,1,13,1,8,1,30,1,28,8,30,1,28,1,30,1,28,21,6,1,28,6,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,12,30,1,28,14,30,1,28,30,30,1,28,1,30,1,28,6,30,1,28,2,30,4,28,6,30,2,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,3,28,1,30,1,28,2,13,1,6,1,28,3,30,1,28,10,30,1,28,6,30,1,28,4,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,3,30,1,28,2,6,1,30,1,28,2,30,1,28,4,30,1,28,13,30,1,28,1,30,2,28,3,30,1,28,2,30,1,13,1,9,2,13,1,28,4,29,1,28,1,6,1,30,1,28,3,30,2,28,8,30,2,28,12,30,1,28,2,29,3,28,2,13,1,17,21,16,1,17,13,12,1,17,19,11,2,17,1,12,1,17,8,29,1,30,1,6,2,30,1,28,2,30,4,28,13,30,1,8,1,13,3,7,2,8,2,13,1,9,1,13,2,11,1,8,1,9,1,8,1,17,1,11,2,9,2,11,1,9,2,10,1,11,1,9,2,11,1,10,1,9,2,17,5,11,2,9,1,11,1,10,1,11,1,16,1,17,6,11,1,17,1,11,4,8,1,13,1,29,1,30,1,28,10,6,1,28,9,30,3,28,3,30,1,28,1,30,1,28,14,6,1,7,1,28,5,30,1,28,19,29,1,30,3,13,1,8,1,13,1,11,4,12,1,17,3,11,3,10,1,11,1,12,1,17,1,16,1,13,1,6,2,30,1,6,1,29,1,6,1,13,1,6,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,7,1,30,1,28,35,30,1,28,1,30,4,6,1,30,2,6,1,29,1,6,4,30,1,6,1,30,3,6,1,29,2,6,1,30,2,13,1,6,2,29,1,6,1,13,1,6,2,7,1,6,1,28,1,6,3,30,2,6,1,30,1,29,1,7,1,30,1,29,1,30,1,6,1,30,1,6,1,30,2,28,2,30,2,6,1,28,2,30,1,28,1,30,4,28,1,29,1,28,1,6,1,30,2,28,1,30,3,28,5,30,1,28,2,30,1,28,11,30,1,28,1,30,1,28,7,6,1,28,5,30,1,28,1,30,4,6,1,30,2,6,1,30,3,6,1,7,1,6,1,30,1,7,1,6,1,30,1,6,2,7,1,13,1,6,4,13,1,6,1,9,1,13,2,7,1,13,1,9,2,8,2,9,2,8,1,9,4,8,1,11,2,10,2,9,1,12,1,11,1,17,6,11,2,16,1,17,21,11,1,13,1,7,2,6,1,29,1,30,5,29,1,30,1,29,1,6,1,29,1,30,1,6,1,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,6,1,28,1,30,2,28,1,30,1,6,1,30,1,6,3,30,2,6,1,30,1,6,3,29,1,28,2,6,2,30,2,6,1,29,1,6,1,29,1,6,2,30,1,29,1,30,3,28,1,6,1,28,1,29,1,13,1,6,5,29,1,7,1,6,4,13,3,8,1,6,1,13,2,7,1,13,2,6,2,13,1,7,1,13,12,7,1,8,1,13,2,8,1,9,2,13,1,8,2,13,1,8,1,13,1,6,1,9,1,8,1,9,1,8,1,13,1,9,1,13,2,8,2,9,4,8,1,9,4,13,1,9,1,10,1,9,1,11,1,9,3,11,1,9,1,10,2,12,1,17,1,11,2,12,2,11,1,10,2,17,1,9,1,16,1,12,1,10,1,9,1,17,1,9,1,16,1,11,1,10,1,11,1,9,2,11,1,9,1,11,2,17,5,16,1,17,6,16,1,17,5,16,1,9,1,8,2,13,1,9,1,8,1,10,1,9,2,13,1,9,3,13,2,9,1,8,1,13,3,6,1,9,2,13,1,9,3,13,1,6,1,28,15,8,1,17,1,16,1,9,1,8,1,6,2,13,2,7,2,30,1,28,9,30,1,6,1,29,1,13,1,6,1,8,1,10,1,9,1,16,1,17,2,9,1,28,5,6,2,9,1,30,2,28,4,30,1,28,36,13,1,6,1,28,4,17,3,13,1,6,1,13,1,7,2,6,1,13,2,16,2,17,1,9,1,28,7,30,1,28,12,6,1,28,3,}, {11,1,16,1,8,1,13,1,6,1,30,2,28,1,30,1,28,2,8,1,17,1,29,1,28,51,13,2,12,1,10,1,9,2,7,1,6,1,29,1,6,1,13,1,12,1,9,1,8,1,13,3,10,1,9,1,12,1,10,1,17,4,11,1,9,2,8,1,13,1,30,1,7,1,6,1,13,2,9,1,10,1,8,1,24,1,13,1,7,1,13,2,17,3,11,1,9,1,11,2,10,1,13,1,10,1,8,2,9,1,17,3,13,1,7,1,13,2,7,1,30,1,6,1,8,1,9,1,28,36,6,1,13,1,9,4,13,1,30,1,29,1,28,1,30,1,28,2,8,1,17,7,11,1,9,2,11,1,8,1,13,1,7,1,6,1,29,3,6,1,7,1,6,2,13,1,9,1,8,2,9,1,17,1,12,1,17,2,10,1,30,1,28,15,29,1,6,2,29,3,6,1,13,2,6,2,13,1,7,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,13,2,7,1,6,2,29,1,13,1,9,1,13,1,9,1,8,2,9,1,13,1,9,1,8,2,9,2,10,1,8,1,9,1,13,1,8,1,13,1,8,3,9,1,11,1,13,1,11,3,9,5,10,1,13,2,9,1,7,1,13,4,8,2,13,1,8,1,9,5,8,1,10,1,9,2,11,1,9,4,11,1,9,2,11,1,9,1,8,1,9,1,17,1,11,1,16,1,17,1,16,1,11,2,12,1,17,2,16,1,17,25,13,1,6,1,30,1,6,1,30,2,6,1,30,3,6,1,29,1,30,1,6,7,30,2,6,1,7,1,6,3,13,1,7,2,6,1,9,2,13,1,9,1,17,2,10,1,11,1,17,1,8,1,10,2,9,2,8,2,9,1,8,1,9,1,13,1,8,1,13,7,6,1,13,1,6,1,13,2,6,1,7,1,13,1,7,1,13,2,6,1,13,1,6,1,7,2,13,1,6,1,13,1,6,1,13,1,30,1,6,1,7,1,6,4,30,1,6,1,7,1,6,2,29,1,6,1,13,1,6,2,28,1,6,5,7,1,13,1,6,1,7,1,6,1,13,3,30,1,6,1,13,1,7,1,6,1,13,1,8,1,13,1,8,1,9,3,11,1,10,1,17,1,9,1,12,1,17,3,9,1,13,2,6,1,7,1,13,1,6,1,30,1,6,2,7,1,30,1,6,1,29,1,13,3,8,2,13,1,8,1,7,1,13,2,7,1,13,3,8,1,6,1,7,1,6,1,30,2,29,1,6,1,29,1,13,1,7,2,29,1,7,1,30,1,6,1,13,1,29,1,6,1,30,3,28,1,30,1,28,6,30,1,28,1,30,1,28,3,30,2,6,1,28,1,30,2,6,3,13,2,8,1,13,1,8,2,17,1,9,1,13,3,8,1,7,1,6,1,13,2,6,1,29,1,7,1,6,2,28,2,30,1,6,1,30,2,6,1,30,1,6,2,7,1,8,1,13,1,8,1,13,1,8,1,17,1,9,1,11,1,9,1,8,1,7,1,13,1,7,1,29,1,6,1,30,1,6,1,29,2,6,1,29,1,7,2,6,1,13,2,9,1,7,1,8,1,13,1,8,1,7,1,13,1,8,2,13,5,7,1,13,2,7,1,30,1,7,1,29,1,30,1,28,1,29,1,30,2,29,2,30,1,6,1,29,1,30,1,28,1,30,2,6,1,30,1,6,2,30,1,6,2,30,2,6,1,29,1,6,2,29,1,30,2,6,1,30,2,29,1,30,4,29,1,30,3,6,1,30,1,28,1,30,1,28,1,6,1,29,1,7,2,13,1,6,1,29,2,28,1,6,1,29,1,6,1,30,1,6,3,30,1,6,1,30,1,6,1,28,1,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,29,2,30,2,28,1,6,2,28,1,6,3,7,1,29,1,6,1,30,1,6,1,29,1,6,3,30,1,6,2,29,1,30,1,7,1,28,1,29,1,30,1,6,1,7,1,6,1,30,1,29,1,6,2,29,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,7,1,8,1,13,1,7,1,8,1,24,1,8,3,24,5,8,1,25,3,24,2,6,1,13,1,24,1,8,2,11,1,8,1,13,2,6,1,13,1,30,1,6,2,29,1,6,3,30,2,6,1,30,1,6,1,28,1,6,2,30,2,29,1,28,1,30,1,28,1,30,3,29,1,6,1,29,1,6,1,30,2,6,1,29,2,30,3,29,1,30,1,28,2,30,2,28,1,29,1,30,1,28,1,30,1,28,1,29,1,13,1,6,1,29,1,7,2,6,1,7,1,30,1,6,2,30,2,28,1,30,1,28,1,30,2,28,1,13,1,12,1,17,1,9,2,13,1,9,2,11,2,9,1,12,1,9,2,8,1,13,1,7,2,29,1,30,1,6,1,30,3,29,1,7,1,6,1,29,1,6,1,29,1,7,1,13,1,8,1,13,1,7,1,6,3,30,3,28,6,30,7,28,1,30,1,29,1,13,3,28,2,30,2,28,1,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,6,30,1,28,3,30,3,28,3,30,1,28,1,8,1,13,1,6,1,30,1,28,1,6,1,28,1,30,2,28,1,30,2,6,1,30,2,6,1,30,1,29,1,30,1,6,1,30,1,28,2,30,1,28,1,30,5,28,2,30,2,28,1,30,1,28,3,30,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,3,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,1,6,1,28,4,29,1,28,1,30,2,28,1,30,1,28,1,30,4,28,1,6,1,30,1,28,1,6,2,30,2,28,1,30,1,28,2,6,1,13,1,30,3,28,1,30,1,6,1,30,1,28,3,30,1,28,1,30,2,13,2,30,1,29,1,6,5,30,1,6,2,30,4,6,1,30,4,28,1,30,1,29,1,6,2,30,1,28,2,6,1,30,6,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,6,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,3,6,1,30,1,6,1,30,3,28,2,30,1,28,1,30,1,28,2,30,1,6,1,30,6,28,2,30,1,28,1,29,1,28,1,6,1,17,1,6,2,30,3,28,2,30,2,28,6,30,1,28,1,30,1,6,1,28,2,30,1,6,1,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,12,13,2,6,1,30,1,6,1,30,1,28,1,9,1,29,1,7,1,28,24,30,4,6,1,30,2,28,4,30,1,28,6,30,1,28,1,30,2,28,8,30,1,28,1,30,1,28,3,30,1,28,5,30,2,28,4,30,1,28,8,30,1,28,1,30,1,28,8,30,1,28,24,30,1,28,3,30,2,28,2,30,5,28,2,6,1,7,1,28,6,30,1,28,11,30,1,28,1,13,1,30,1,28,1,30,1,28,7,30,1,28,3,30,1,28,18,30,1,28,2,30,2,28,3,30,3,28,6,30,1,28,3,30,2,28,3,30,1,28,1,30,1,28,12,30,2,28,3,30,1,29,1,30,1,28,8,30,1,6,2,30,1,28,5,30,2,28,3,30,2,28,1,30,1,28,2,30,2,28,2,6,1,29,1,30,1,28,4,30,1,29,1,6,1,28,5,13,1,16,1,17,5,11,1,17,46,12,1,17,12,13,1,28,1,6,1,30,2,28,2,30,2,28,16,9,1,13,7,9,1,8,1,13,1,9,1,11,1,9,2,13,1,11,1,17,1,11,2,17,1,11,2,10,1,11,1,9,2,10,1,11,2,9,1,11,1,17,6,11,4,16,1,11,1,17,2,16,1,17,4,11,4,17,1,10,1,9,1,13,1,30,1,28,15,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,1,30,5,28,1,30,1,28,7,30,1,28,3,6,2,28,4,30,1,28,3,30,1,28,18,30,3,8,1,10,1,9,1,8,1,9,1,10,1,11,1,10,1,12,1,11,1,17,2,10,1,11,1,12,1,11,1,12,1,17,2,11,1,13,1,30,2,6,1,30,2,6,3,7,1,30,2,28,7,30,1,29,1,28,33,30,1,28,4,30,1,28,2,29,1,28,1,29,1,28,1,6,1,30,2,6,1,29,1,6,1,29,1,6,2,30,1,29,1,30,3,6,1,28,1,6,1,28,1,6,1,30,1,6,5,7,1,30,1,7,1,30,3,6,2,30,1,6,2,30,2,6,3,29,1,30,2,28,1,29,2,28,1,30,1,6,1,28,4,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,30,1,6,1,28,5,30,1,28,20,30,2,28,4,30,2,6,1,28,1,30,1,6,1,30,1,6,2,30,2,13,1,6,1,29,1,30,1,6,2,7,1,29,1,6,1,13,1,29,1,13,1,6,2,13,1,6,1,13,4,8,1,7,1,13,5,8,1,13,2,8,1,9,1,13,1,10,1,9,1,10,1,9,2,10,1,9,2,17,1,11,2,17,5,11,1,17,1,11,1,17,3,16,1,17,19,11,1,13,1,7,1,6,1,29,1,6,1,30,1,29,1,28,1,30,2,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,28,2,29,1,28,1,29,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,4,13,1,30,1,6,1,30,2,28,1,6,1,30,1,6,1,29,1,30,1,6,1,28,1,30,1,28,1,6,3,30,1,6,1,7,1,6,3,29,1,30,1,29,1,6,1,30,1,6,1,29,1,6,2,7,1,30,1,6,3,7,1,6,1,29,1,6,1,29,1,7,1,13,4,7,2,30,1,13,2,6,1,7,1,13,1,6,1,13,7,7,1,8,1,6,1,8,1,13,3,8,3,13,1,8,1,9,1,8,1,13,4,8,1,9,1,8,1,9,1,13,1,8,1,13,1,9,2,8,1,9,2,8,4,9,1,8,1,9,2,13,1,10,1,9,1,13,1,9,2,13,1,11,1,8,2,9,1,11,1,9,1,16,1,9,2,10,1,9,5,11,1,9,1,11,1,9,1,10,1,11,1,9,1,16,1,11,2,12,1,11,1,12,1,9,1,8,1,11,1,9,1,11,1,9,1,16,2,17,16,10,1,13,1,9,2,10,1,9,2,13,1,9,2,10,1,13,2,9,2,13,1,8,1,13,1,8,1,13,2,8,1,9,1,13,1,9,4,30,1,28,15,9,1,17,2,9,1,8,1,13,5,7,1,29,1,28,8,30,1,29,1,28,1,6,1,13,1,30,1,9,3,11,1,17,1,16,1,13,1,28,5,30,1,8,1,13,2,28,42,8,1,6,1,28,3,13,1,17,3,13,1,6,1,13,1,30,1,29,1,13,2,8,1,10,1,16,1,17,1,9,1,28,7,30,1,28,16,}, {17,1,16,1,8,1,6,1,13,1,28,2,30,1,28,3,8,1,13,1,8,1,28,50,30,1,8,1,13,1,8,1,16,1,9,1,8,1,13,1,30,2,28,1,8,1,9,1,24,1,9,1,8,1,13,1,8,1,13,1,9,1,10,1,9,1,17,5,16,1,9,1,13,2,7,1,30,2,6,2,17,1,10,1,7,1,13,4,29,1,17,3,11,1,9,1,12,1,13,1,9,1,11,1,8,1,9,2,11,2,17,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,24,2,28,36,29,1,6,1,8,2,9,2,29,1,6,1,30,2,28,2,29,1,8,1,17,7,16,1,9,1,11,1,10,1,8,1,13,2,6,1,7,1,28,1,7,1,6,1,13,3,7,1,8,1,9,3,12,1,17,3,16,1,28,18,30,1,29,1,6,1,30,1,6,4,13,1,30,1,13,1,6,1,30,2,6,1,29,1,7,1,6,1,28,2,6,2,13,1,7,1,6,2,13,1,28,1,6,1,13,1,9,2,13,1,9,1,13,1,9,1,8,1,9,5,10,1,8,1,9,1,8,2,13,1,8,1,9,2,10,1,9,1,10,2,9,1,10,1,9,2,11,1,8,2,9,2,13,4,9,1,13,1,9,1,13,1,9,1,8,1,9,3,13,1,10,1,9,1,8,1,10,2,8,1,9,1,8,1,11,1,9,2,12,1,9,1,16,1,17,2,12,1,16,1,11,1,12,1,9,1,17,1,16,1,11,1,16,1,17,1,12,1,10,1,17,1,9,1,17,13,12,1,16,1,17,7,11,1,9,1,7,1,30,1,6,2,30,3,29,1,30,3,6,1,29,1,30,1,6,1,29,1,30,1,6,2,30,1,6,1,30,1,6,2,7,2,13,1,6,1,13,1,6,1,13,3,28,1,30,1,7,1,8,1,12,1,11,1,12,1,16,1,9,1,11,2,12,1,9,2,8,3,13,1,8,2,13,1,9,1,13,1,8,1,13,5,7,1,6,1,7,1,6,1,13,1,7,1,6,2,29,1,6,1,29,1,6,3,13,1,6,1,13,1,7,1,29,1,6,1,7,1,6,1,30,1,6,2,29,1,6,4,29,3,7,2,29,1,6,1,29,1,30,1,13,1,30,1,7,1,13,1,8,1,13,6,8,2,9,1,11,1,17,1,11,1,9,1,12,2,11,1,9,3,11,1,9,1,12,1,11,1,17,2,9,1,13,4,6,2,7,1,30,1,7,1,6,2,13,1,7,1,13,1,6,1,9,1,6,1,13,2,7,1,13,4,6,1,13,1,8,1,13,1,6,3,30,1,6,1,30,1,29,1,13,2,29,1,6,1,29,1,6,1,29,1,30,1,28,1,30,1,29,1,28,1,30,1,28,5,6,1,29,1,28,4,30,1,28,1,30,1,28,2,30,1,6,2,30,1,6,1,30,1,7,1,6,2,13,1,9,1,8,1,11,1,12,2,9,1,13,4,8,1,7,1,13,3,7,1,30,1,6,2,13,1,7,1,6,1,7,1,6,1,7,1,6,2,7,1,13,1,8,1,13,3,9,1,17,1,11,1,9,1,10,1,13,2,8,1,13,1,6,1,29,1,6,4,13,1,7,1,6,1,13,2,6,1,8,2,13,1,8,2,7,1,13,4,7,2,13,2,7,1,13,1,7,1,29,1,13,1,7,1,30,2,28,1,30,4,6,1,29,1,28,1,6,1,30,1,6,1,13,3,6,2,30,1,29,1,30,1,6,3,13,1,30,2,29,1,30,1,6,2,30,1,6,1,30,1,29,1,30,2,6,1,28,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,2,30,1,28,2,6,1,13,1,30,1,13,1,7,1,6,4,30,1,29,1,6,1,30,3,6,1,29,1,30,1,6,1,28,1,6,1,29,1,30,2,29,1,30,1,6,1,29,1,30,1,29,2,30,1,6,1,30,1,6,1,29,1,30,1,6,3,7,1,29,1,6,2,30,2,6,1,30,1,29,1,6,2,30,1,29,1,30,2,6,3,29,1,6,1,13,1,28,1,6,1,29,1,30,2,6,1,30,2,6,2,8,1,9,1,6,1,8,1,30,1,13,1,8,1,10,1,8,1,24,2,25,1,24,2,8,1,24,1,25,2,27,1,8,2,26,1,7,1,13,2,9,4,13,2,29,1,6,2,29,2,6,1,30,1,6,1,29,1,30,2,6,2,30,1,6,1,13,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,6,1,28,1,30,1,13,1,30,1,6,2,30,3,29,1,30,1,28,1,29,1,28,1,6,1,30,1,29,1,30,2,28,2,30,2,28,1,29,1,6,1,30,2,6,3,13,1,6,1,30,3,28,1,6,1,28,1,30,2,29,1,30,2,9,1,11,2,9,1,8,1,9,1,8,1,9,1,10,1,8,1,9,1,8,1,13,1,7,1,6,1,30,8,29,1,6,1,29,1,30,1,6,4,13,1,7,1,6,1,30,1,6,1,30,2,28,9,30,4,28,1,30,2,13,2,30,1,6,1,30,4,28,4,30,1,6,1,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,6,30,1,28,3,30,1,28,1,8,1,13,1,29,1,28,1,30,3,28,1,30,2,29,1,30,1,6,1,30,8,6,1,30,1,28,1,30,4,28,2,30,1,28,1,30,1,28,2,6,1,30,1,28,1,30,5,28,3,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,3,30,1,28,5,30,3,28,1,6,1,28,2,30,1,28,10,30,1,13,1,6,1,28,1,30,1,28,2,30,1,28,2,30,3,6,1,30,3,6,1,29,1,28,6,30,2,13,2,6,1,30,1,29,1,30,2,6,3,29,1,28,1,6,1,30,2,28,2,30,2,28,1,30,1,6,1,30,2,6,1,29,1,6,1,28,1,30,1,29,1,30,6,6,1,30,3,28,1,29,1,28,2,30,1,6,1,28,1,29,1,6,2,30,2,29,1,30,7,13,3,28,2,30,1,28,1,30,2,28,3,30,5,28,3,30,1,28,1,6,1,30,1,28,1,6,1,13,2,6,1,28,1,30,4,28,1,30,2,28,4,6,1,13,1,28,12,30,1,28,1,30,2,28,4,30,1,28,3,30,3,28,1,30,1,28,4,30,2,6,1,28,1,13,1,30,1,28,4,11,1,28,22,30,1,28,1,30,2,28,7,30,1,28,1,30,2,28,2,30,1,28,3,30,2,28,1,30,1,28,20,30,2,28,14,30,1,28,9,30,1,28,14,30,1,28,5,30,1,28,3,6,1,13,1,28,9,30,1,28,2,30,1,28,1,6,1,28,3,30,1,28,2,30,1,28,23,30,2,28,2,30,1,28,10,30,1,28,8,29,1,30,2,28,4,30,1,28,3,30,1,28,9,30,1,28,5,30,1,28,14,30,4,29,2,30,2,28,4,30,1,28,1,30,1,28,4,6,1,30,4,28,5,30,1,28,16,30,1,6,1,30,1,28,7,13,1,16,1,17,14,16,1,11,1,17,7,16,1,17,38,12,1,17,1,24,1,28,1,29,2,30,1,28,20,13,5,6,1,13,2,8,2,13,2,8,1,10,1,11,1,8,1,10,3,11,1,17,1,11,1,13,1,8,1,9,1,10,1,9,4,10,2,17,5,16,1,17,1,11,1,9,1,11,3,16,1,11,1,17,2,16,1,11,2,17,1,12,1,17,1,11,1,17,1,11,2,10,1,13,1,30,1,28,13,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,13,13,1,28,6,30,1,28,2,30,1,28,17,30,1,6,2,9,1,8,1,9,1,8,1,9,4,17,3,11,1,17,1,12,1,11,1,12,1,11,1,10,1,17,1,12,1,10,1,13,1,6,1,30,1,6,4,30,1,6,3,30,1,28,6,6,1,30,2,28,37,30,4,28,1,30,1,28,1,30,3,6,1,30,3,6,1,30,2,6,1,30,1,29,1,30,2,6,2,7,1,6,1,28,1,6,2,7,1,6,3,30,2,29,2,6,1,30,2,29,1,30,1,6,1,7,1,30,1,7,1,30,3,6,1,30,1,29,2,30,2,6,1,29,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,30,5,28,2,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,3,30,2,28,10,6,1,28,4,30,1,28,1,30,2,28,1,30,1,6,1,30,2,29,1,6,3,29,2,6,1,29,1,30,1,13,2,6,2,13,2,6,3,13,9,8,2,13,1,8,1,13,1,10,1,9,6,10,1,9,1,10,1,17,2,10,1,17,1,16,1,17,3,10,1,12,1,17,2,16,1,17,25,9,1,13,1,6,2,30,1,6,1,30,1,29,1,30,3,6,3,30,1,28,1,6,1,28,3,30,1,28,2,6,1,29,1,28,1,29,1,30,1,28,1,30,2,28,2,30,1,28,5,30,1,28,2,30,4,28,1,30,2,28,1,30,4,28,1,6,1,30,2,6,1,13,1,28,1,6,1,29,1,6,4,30,1,6,1,30,1,29,1,30,1,6,1,30,1,29,1,30,1,13,1,29,1,7,1,30,2,28,1,6,1,30,1,7,1,29,1,30,1,6,2,30,1,6,1,30,1,29,3,7,1,29,1,13,1,6,1,30,2,13,4,6,3,13,3,7,1,13,1,6,1,13,1,6,1,7,1,13,7,8,1,13,5,6,1,13,5,8,2,13,1,8,2,13,1,9,1,13,2,9,1,13,1,8,1,13,2,8,1,9,1,13,1,9,1,8,3,9,1,8,2,9,1,8,1,9,2,8,1,9,1,8,1,9,1,8,1,9,2,13,1,9,1,13,1,9,3,13,1,8,1,9,4,8,1,9,1,10,3,11,1,9,2,11,1,9,1,11,2,9,1,11,2,10,1,9,2,12,1,9,2,16,1,11,1,17,13,16,1,9,1,13,1,9,2,8,1,9,6,8,1,9,5,13,2,7,1,8,1,9,2,13,1,8,1,9,2,13,1,6,1,28,15,17,2,16,1,13,3,30,1,13,2,7,1,30,1,6,1,28,6,30,1,28,2,6,1,29,1,6,1,13,2,9,3,8,1,17,2,13,1,28,6,13,3,28,42,13,1,30,2,28,2,13,1,17,3,13,2,6,1,13,1,6,1,8,1,6,1,9,1,10,1,17,2,9,1,28,6,6,1,13,1,28,16,}, {11,1,16,1,13,1,7,1,29,1,30,1,28,1,30,1,28,1,30,2,6,1,9,1,28,48,30,1,28,2,6,1,30,1,8,1,9,1,16,1,11,1,9,1,13,1,30,1,28,1,6,2,17,1,9,1,8,1,13,1,29,1,13,1,11,1,9,1,11,2,17,5,16,1,9,1,8,2,28,1,30,3,8,1,12,1,24,1,8,1,6,3,7,1,6,1,17,4,9,2,10,1,8,1,10,1,8,3,10,1,16,1,17,2,13,1,29,2,30,1,13,1,28,1,24,1,8,1,6,1,28,37,7,1,8,2,24,1,9,1,6,1,30,1,6,1,28,1,6,1,28,2,9,1,17,7,9,2,13,1,9,2,8,1,6,1,29,1,30,1,7,1,6,1,7,1,29,1,7,1,6,1,8,1,9,1,8,2,10,1,17,2,12,1,17,2,28,16,30,1,6,2,30,2,6,1,30,1,29,1,13,1,6,4,13,1,6,1,30,1,6,3,30,4,29,1,6,1,7,1,8,1,6,1,28,1,30,1,6,1,9,1,8,2,9,4,8,1,10,1,9,1,13,1,9,1,8,2,11,1,9,1,8,1,10,1,9,3,11,2,9,1,12,1,9,3,8,1,10,1,9,5,10,1,9,1,13,1,9,1,13,1,10,1,9,1,8,1,10,1,8,1,9,1,8,1,9,1,16,1,11,1,16,1,9,1,8,2,9,2,12,1,9,1,11,1,17,1,10,2,17,1,11,1,17,1,10,1,16,2,12,2,11,1,17,23,12,1,17,7,9,1,6,2,30,1,29,1,6,2,30,1,6,1,30,2,6,1,30,1,29,1,30,1,28,1,13,1,6,4,30,2,13,1,6,2,13,2,6,1,13,1,7,1,13,2,29,1,30,1,28,1,30,1,28,1,6,1,13,1,8,1,10,1,17,4,9,1,11,1,9,4,10,2,8,1,9,1,8,2,9,2,8,1,13,2,7,1,13,2,8,1,13,2,7,2,6,1,7,2,6,3,13,1,7,2,29,1,7,1,6,8,7,1,6,1,13,1,6,1,7,2,6,1,7,2,6,1,13,1,7,1,13,2,9,1,7,1,8,2,9,3,8,1,9,1,11,1,12,1,9,1,10,1,9,2,10,1,9,1,8,4,9,4,10,1,17,2,9,1,8,2,13,2,7,1,6,1,29,1,30,2,29,1,6,1,28,1,6,1,7,1,13,3,6,1,8,1,13,1,6,1,13,4,10,1,13,1,7,1,13,1,6,1,29,1,30,1,6,3,7,1,6,2,30,1,6,1,29,2,30,1,29,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,5,30,1,28,6,30,1,28,1,30,1,6,3,7,2,13,2,8,1,9,1,10,1,12,1,17,1,13,1,24,1,6,1,13,3,6,1,13,1,7,2,13,1,7,3,29,1,7,1,13,1,6,4,13,6,9,1,8,1,11,1,12,1,10,1,9,1,13,2,9,1,13,1,7,1,13,1,6,1,30,1,7,1,6,1,13,1,8,1,24,1,13,2,8,1,6,1,9,1,13,1,7,1,9,1,13,3,8,1,13,2,8,1,13,3,6,1,7,1,30,1,6,1,28,1,30,3,28,1,30,1,29,1,30,1,6,1,7,1,6,2,7,1,30,1,6,2,30,2,29,1,30,1,7,1,6,5,30,1,29,1,30,1,29,1,6,3,30,1,29,1,30,1,28,1,29,2,28,1,30,1,29,1,30,1,29,2,30,1,6,1,28,1,30,3,28,1,29,1,30,2,29,1,6,1,30,3,29,1,6,1,30,1,6,1,30,1,29,1,30,1,6,3,29,1,6,2,29,1,6,2,30,2,6,1,30,1,29,1,6,1,30,1,13,1,30,1,6,1,29,2,6,2,30,1,6,1,30,1,13,1,6,3,30,2,6,1,30,2,7,1,29,1,7,1,6,1,13,1,6,1,13,2,6,2,7,1,29,1,6,2,29,1,7,1,6,1,13,1,8,1,24,1,8,1,9,1,13,1,30,2,29,2,25,2,24,5,25,1,24,3,8,1,27,2,26,1,24,2,6,1,7,1,13,1,9,4,13,1,7,1,13,1,30,1,29,2,30,1,6,1,30,1,6,2,30,4,6,2,13,1,30,2,28,1,7,1,28,2,30,6,28,1,6,1,30,1,6,2,30,1,28,1,29,1,28,2,6,1,30,1,28,1,30,2,28,1,30,8,28,3,6,1,30,1,29,1,6,1,30,1,6,1,28,1,6,1,28,2,30,1,28,1,6,1,28,1,30,1,28,2,30,1,13,1,9,2,8,1,9,1,13,1,8,1,13,1,24,1,13,1,7,1,6,1,30,1,28,1,30,1,28,1,30,1,28,4,6,1,30,1,29,2,6,1,30,1,7,2,30,1,7,1,29,1,30,1,28,1,6,2,28,1,30,1,28,7,30,3,29,1,30,1,13,2,6,1,30,1,28,1,30,1,6,1,28,2,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,3,6,1,30,2,28,3,30,1,28,1,30,1,28,2,6,1,30,2,28,1,30,1,28,1,9,1,13,1,29,1,30,2,28,3,6,1,28,2,30,1,6,1,30,3,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,8,28,1,30,2,28,1,30,1,28,2,30,5,28,2,30,1,28,5,30,2,28,4,30,1,28,6,30,1,28,8,30,1,6,1,13,1,28,1,30,2,28,3,30,1,28,2,30,1,28,2,6,1,29,1,30,2,28,1,30,1,28,2,30,1,28,1,6,1,28,1,6,1,29,2,6,2,30,1,6,1,29,1,6,1,30,1,29,2,30,3,6,1,30,2,6,1,30,1,28,1,30,1,6,1,30,2,6,1,30,1,29,1,6,2,30,1,6,1,30,4,28,1,30,5,28,1,30,1,28,3,30,2,6,1,30,2,29,1,28,1,30,3,28,1,30,2,6,1,9,1,6,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,6,1,30,2,6,1,30,1,6,2,28,1,30,2,28,2,13,1,28,1,6,1,28,1,6,1,30,1,28,1,30,2,28,1,30,3,6,1,28,1,6,2,28,2,30,1,28,4,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,2,6,1,28,3,30,1,28,2,30,1,28,5,13,1,30,1,28,2,13,1,28,5,17,1,28,2,30,1,28,25,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,8,30,1,28,2,30,1,28,13,30,2,28,1,30,2,28,11,30,2,28,22,30,1,28,5,30,1,28,4,13,1,17,1,28,10,30,2,28,3,6,1,13,1,28,5,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,6,1,29,1,28,1,30,1,28,20,30,3,28,3,30,1,28,3,6,1,28,2,30,2,28,23,30,1,28,1,30,1,28,2,30,1,28,12,30,1,28,3,30,2,28,1,30,1,28,3,30,1,28,3,6,1,28,11,30,1,28,5,30,1,28,1,30,2,29,1,6,1,30,2,6,1,30,1,28,1,30,1,28,3,30,1,28,3,6,1,9,1,16,1,17,14,11,1,16,2,17,35,11,1,17,2,12,1,17,2,11,1,17,2,16,1,17,1,12,1,29,2,6,1,30,1,28,2,30,1,28,1,30,2,28,14,9,1,13,4,7,1,8,1,9,1,13,1,8,2,13,1,11,1,9,2,10,1,9,1,11,1,10,1,17,1,11,2,17,1,10,1,11,1,9,4,11,2,9,1,16,1,17,4,16,1,17,1,9,1,11,2,9,1,11,3,16,3,17,4,11,3,10,1,12,1,11,1,13,1,6,2,30,1,28,8,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,5,30,1,28,10,13,1,6,1,28,6,30,1,28,1,30,1,28,14,30,1,28,1,29,3,6,1,30,1,6,2,13,1,7,1,8,2,9,2,17,1,12,1,9,1,17,2,9,1,10,1,9,1,10,1,16,1,17,2,16,1,13,1,6,2,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,28,3,30,2,28,34,30,1,28,5,29,1,28,2,30,1,28,3,6,1,28,2,30,2,28,1,30,2,6,1,30,1,29,1,6,2,30,2,6,1,29,1,6,4,13,1,6,1,29,1,6,1,30,1,29,1,30,1,29,1,6,2,30,1,29,1,30,2,6,1,30,1,6,1,29,2,6,1,30,3,6,2,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,2,30,1,29,1,28,1,30,2,28,1,30,4,28,4,30,1,28,2,30,1,29,1,28,1,30,1,28,7,30,1,28,4,30,3,28,1,29,1,28,3,30,1,29,1,6,1,28,1,6,1,29,1,6,2,29,1,13,1,29,1,6,3,7,2,30,1,29,1,7,1,6,1,30,1,13,1,6,1,13,1,7,2,13,3,7,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,8,2,9,2,8,1,13,1,9,1,8,1,9,1,11,1,9,1,11,1,10,1,11,1,17,8,11,1,17,3,11,1,17,2,11,1,17,19,16,1,9,1,7,2,13,1,6,1,29,1,30,2,29,1,30,1,6,1,30,3,6,1,30,1,6,2,30,2,6,2,28,1,30,1,29,1,6,1,30,4,28,1,30,2,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,3,6,1,28,1,30,1,29,1,30,3,28,1,30,3,28,2,30,1,6,1,30,3,29,2,30,2,29,1,6,1,29,1,6,5,28,1,30,2,29,1,30,1,6,3,30,2,6,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,30,1,29,1,6,1,30,1,29,2,6,1,30,1,6,1,13,2,29,1,6,1,30,1,6,1,13,1,6,1,13,5,6,1,13,1,6,1,13,1,6,1,13,3,7,1,13,1,6,1,13,4,9,1,13,5,9,2,13,2,8,1,13,3,9,1,13,2,8,1,13,1,8,2,13,2,9,2,8,1,9,1,8,1,9,2,7,1,9,1,13,1,8,2,9,3,8,1,13,2,8,1,9,4,13,2,7,1,8,1,13,2,8,1,13,1,9,3,8,1,9,2,10,1,9,1,11,1,9,1,11,1,9,2,10,1,9,2,11,1,10,1,9,2,11,1,16,1,11,1,16,1,17,12,16,1,9,1,8,1,9,3,8,2,13,1,9,8,8,2,9,1,8,1,9,1,13,2,9,4,13,1,6,1,28,15,17,2,9,3,8,1,13,1,30,1,6,2,29,1,28,7,29,1,30,2,29,1,7,1,6,2,13,1,9,1,10,1,9,1,16,1,17,2,13,1,28,5,30,1,8,2,7,1,28,42,6,1,30,1,28,2,30,1,13,1,17,3,13,1,9,1,13,1,8,1,13,2,8,2,16,1,17,2,13,1,28,6,29,1,6,1,28,16,}, {16,1,11,1,8,1,13,1,6,2,30,2,28,3,13,1,10,1,6,1,28,48,29,1,28,2,6,1,8,1,10,1,11,1,9,1,8,1,7,1,30,1,13,1,6,1,8,1,24,1,9,2,8,3,13,1,10,1,12,1,9,1,12,1,17,4,11,2,9,1,13,1,28,1,29,1,28,2,13,1,12,1,11,1,8,1,6,3,13,1,29,1,17,5,11,1,8,1,13,3,8,1,13,1,9,2,17,2,16,1,28,1,13,1,6,1,13,1,6,1,13,2,8,1,6,1,28,36,6,1,8,1,9,2,8,1,13,1,30,1,6,1,30,1,29,1,28,1,30,1,9,1,17,7,9,1,10,1,9,1,8,1,13,1,9,1,6,1,13,1,6,1,29,1,28,1,29,1,7,1,8,1,13,1,6,1,9,2,10,2,16,1,12,1,17,3,28,17,6,1,28,1,30,3,6,1,29,1,6,6,29,1,30,3,6,2,29,1,30,1,6,2,29,1,6,1,13,1,6,1,29,1,30,1,7,1,13,1,9,3,13,2,9,3,16,1,9,1,8,3,11,1,9,1,11,1,9,3,11,1,13,1,9,1,8,1,11,1,9,2,11,1,8,1,9,1,10,1,9,2,12,1,9,1,16,1,9,1,17,1,10,1,11,2,16,1,9,1,13,1,9,3,8,1,10,1,9,2,12,1,11,1,8,1,16,1,9,3,10,1,9,1,11,2,16,1,12,1,9,1,17,1,12,1,17,1,11,1,12,1,11,1,17,17,16,1,17,2,16,1,17,10,9,1,6,4,30,8,29,1,28,1,6,1,30,2,13,1,29,1,6,7,13,6,7,1,28,1,29,1,28,1,6,1,28,1,30,1,28,2,30,1,6,1,13,2,17,5,11,1,10,1,9,3,10,1,9,1,10,1,9,2,13,2,8,1,13,1,8,1,13,7,9,1,7,1,13,2,7,1,13,3,7,1,13,9,6,1,7,1,6,2,7,1,13,1,7,1,13,1,8,3,10,1,12,1,9,1,17,1,10,1,17,3,11,4,10,2,9,1,8,5,13,4,7,1,9,1,8,1,11,2,10,1,12,1,13,2,8,1,7,1,6,3,30,1,6,2,30,1,29,1,30,1,6,3,13,2,6,1,8,1,7,1,9,1,7,1,13,3,7,1,13,1,6,1,8,1,13,1,29,1,6,3,30,1,6,4,30,1,28,2,30,5,28,13,30,1,28,1,30,1,29,1,30,4,29,1,30,1,13,5,24,2,9,1,11,1,9,1,13,2,7,1,8,1,24,2,8,1,13,2,6,1,13,1,6,1,7,2,6,2,7,3,13,1,24,1,8,1,9,1,7,1,13,3,9,2,11,1,12,1,9,2,8,1,13,1,6,1,13,3,8,1,7,2,13,1,8,1,13,3,8,2,9,2,13,1,8,2,13,1,6,1,13,2,7,1,13,2,7,1,13,1,7,2,13,1,6,2,28,1,6,1,30,1,28,1,30,1,6,1,30,2,29,1,6,1,29,1,7,1,6,7,28,1,7,1,30,1,6,1,29,1,28,1,30,1,6,2,29,1,28,1,30,1,29,1,30,4,6,1,30,3,6,1,30,1,29,1,6,2,29,2,30,1,29,1,6,1,30,2,6,1,30,1,6,3,7,1,30,1,29,1,6,3,28,1,30,1,28,2,6,1,30,1,29,2,30,1,6,3,29,1,6,1,29,1,28,1,29,1,30,1,6,4,30,1,29,1,7,1,6,3,30,1,29,1,6,1,30,1,29,1,30,1,6,1,30,1,13,1,30,1,7,1,6,1,13,3,6,1,8,1,6,1,13,1,6,2,13,1,8,1,9,1,13,1,9,1,17,1,11,1,29,1,30,1,28,4,30,2,27,1,25,2,8,1,24,1,25,1,24,3,15,1,24,4,27,1,8,1,24,2,7,1,13,1,8,1,9,1,10,1,9,1,8,1,13,1,7,1,6,1,7,1,6,1,28,1,30,5,6,2,30,3,13,1,7,1,6,2,28,1,30,1,6,1,28,1,30,1,28,2,30,1,6,1,30,6,6,1,30,2,6,1,30,1,29,1,30,1,28,1,30,3,29,1,30,2,28,1,30,2,28,1,30,1,6,3,30,3,29,1,6,2,30,3,28,1,30,3,29,1,30,1,29,1,28,1,30,2,6,1,9,1,11,1,9,1,8,1,13,1,8,2,6,2,30,1,6,1,28,7,30,1,7,1,30,1,29,1,30,1,6,1,7,1,6,2,29,1,6,1,29,2,30,2,28,1,30,1,28,8,30,1,28,1,6,1,30,1,9,1,13,1,28,5,30,1,28,1,30,2,28,1,30,1,28,5,30,2,28,2,29,1,28,2,30,3,28,1,30,1,28,3,30,1,6,2,30,1,28,3,11,1,6,1,30,3,6,1,28,1,30,1,28,1,6,2,28,3,30,1,28,2,30,1,28,1,30,1,6,1,30,2,28,1,30,2,28,5,30,2,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,2,28,3,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,4,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,1,30,2,28,3,29,1,28,1,30,2,28,5,30,1,6,2,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,3,28,1,30,2,28,1,30,2,28,2,30,1,6,1,13,1,6,6,29,1,6,1,29,1,6,1,30,4,29,1,6,1,30,1,6,2,30,3,29,1,6,1,30,3,29,1,30,1,6,1,30,6,28,1,30,4,29,1,30,4,29,1,13,1,30,3,28,1,30,3,28,1,30,1,8,1,13,1,30,2,28,2,30,1,6,1,28,1,30,1,28,3,30,4,28,1,30,1,28,2,30,1,28,1,29,1,30,1,28,3,8,1,6,1,28,1,30,3,28,2,30,1,28,2,30,3,6,1,30,2,28,2,30,1,6,1,28,5,30,1,28,3,30,2,28,2,30,2,28,4,30,1,28,5,30,1,28,7,30,2,28,3,9,1,28,6,30,1,28,11,30,1,28,4,30,1,28,2,30,1,28,2,30,2,28,5,30,1,28,32,30,1,28,2,30,1,28,9,30,1,28,12,30,1,28,3,30,1,28,1,29,1,28,14,17,2,13,1,28,3,30,1,28,6,30,1,28,1,30,1,28,2,7,1,30,2,28,2,30,1,28,3,30,1,28,11,13,1,28,13,30,2,28,7,30,1,28,7,30,1,28,3,30,2,28,3,30,1,28,9,30,2,28,3,30,1,28,23,30,1,28,1,6,1,30,2,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,6,1,28,11,30,1,28,7,30,1,28,1,30,3,28,1,30,1,29,1,28,10,29,1,9,1,17,14,11,2,17,20,11,2,17,18,11,1,17,1,12,1,17,1,16,1,17,1,10,1,17,1,24,1,6,2,29,1,30,1,28,2,30,2,28,1,30,2,28,12,13,1,6,1,9,1,13,4,8,3,13,2,9,3,8,1,9,2,13,1,12,1,17,2,12,1,8,1,11,1,9,2,10,1,9,1,16,1,11,3,17,5,11,1,16,1,9,2,11,1,16,1,9,1,17,3,16,1,17,1,11,1,17,2,11,1,10,1,17,1,11,1,12,1,11,1,12,1,11,1,13,1,28,14,30,3,28,2,30,3,28,2,30,3,28,9,30,1,28,2,13,1,28,5,30,1,28,1,30,1,28,17,6,1,28,1,30,2,28,1,30,1,6,1,13,3,9,1,8,1,9,1,11,1,17,3,12,1,11,2,12,1,11,2,12,1,17,1,11,1,17,1,9,1,7,1,6,1,30,1,6,1,30,1,29,2,30,4,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,22,30,1,28,13,30,1,28,2,30,5,28,1,30,1,28,1,29,1,30,1,6,1,30,2,29,1,30,3,28,1,30,1,6,1,30,1,6,2,30,1,6,4,13,2,29,1,28,1,6,2,13,1,6,1,30,1,29,1,6,1,30,2,6,1,30,11,6,2,28,1,30,2,28,3,30,1,6,1,30,1,28,3,6,1,30,1,28,1,30,1,28,1,30,4,28,2,30,2,28,1,30,2,28,2,30,2,28,1,29,1,28,2,30,1,28,9,30,2,28,1,30,1,28,1,13,1,28,1,30,2,28,1,30,1,6,3,28,1,6,4,30,1,6,1,30,1,6,2,30,1,13,1,6,2,7,1,6,1,13,2,8,1,7,1,13,8,8,1,13,1,8,1,9,1,13,1,8,3,13,1,9,1,8,1,9,1,8,1,9,1,12,1,9,4,11,1,17,3,11,2,17,1,11,1,16,1,17,3,10,1,17,1,11,2,17,20,16,1,9,1,7,1,6,2,29,1,6,1,30,2,28,1,30,1,6,1,30,1,6,1,29,1,30,2,6,1,28,1,30,2,29,1,28,1,30,2,28,3,30,2,28,3,30,2,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,1,29,1,30,3,29,2,30,1,6,2,30,1,6,1,29,1,6,1,29,1,30,1,6,1,29,1,6,2,30,1,6,1,30,2,29,1,30,1,29,2,30,2,29,1,6,1,30,3,6,1,29,1,30,3,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,6,2,13,1,7,1,13,1,6,2,7,1,13,1,7,1,6,2,13,4,6,5,7,1,6,1,8,1,13,7,7,1,13,4,6,1,8,1,13,2,9,1,13,4,8,1,13,2,8,1,9,1,13,1,9,1,8,2,13,1,8,1,9,1,8,3,13,4,9,3,13,1,9,1,8,1,13,4,6,1,13,6,6,1,13,1,9,1,13,1,8,1,9,2,13,1,11,2,10,1,11,1,10,1,9,1,10,2,12,2,10,1,9,2,16,2,9,1,16,1,17,9,16,1,9,3,13,1,9,4,8,1,6,1,13,1,8,2,9,3,13,1,9,3,13,1,9,3,8,1,9,3,8,1,30,1,28,15,16,1,17,1,9,2,13,2,9,1,13,2,8,1,6,2,28,4,29,1,28,2,30,1,6,1,30,2,13,1,7,1,13,1,9,1,11,1,8,1,11,1,17,1,16,1,13,1,28,6,8,1,9,1,30,1,28,3,6,1,28,37,30,1,8,1,28,4,9,1,17,3,13,4,8,2,13,1,10,1,11,2,17,1,13,1,28,7,29,1,28,14,29,1,28,1,}, {10,1,9,1,13,2,6,2,28,1,30,1,28,3,8,1,9,1,13,1,28,48,30,1,29,1,28,1,29,1,6,1,10,1,11,1,10,1,9,1,7,2,30,2,13,2,11,1,8,1,24,1,6,1,8,3,9,1,10,1,17,5,12,1,11,1,12,1,13,1,29,2,30,1,28,1,8,1,9,1,12,1,13,3,7,1,13,1,30,1,11,1,17,4,12,1,9,2,13,2,24,1,13,1,9,1,17,3,16,1,28,1,30,1,29,2,6,2,8,2,30,1,28,36,29,1,6,1,8,1,10,1,9,1,13,1,29,1,30,2,28,1,30,1,28,1,13,1,17,7,9,3,8,1,9,1,8,1,29,1,13,1,30,1,7,1,13,1,30,1,13,1,6,1,13,1,8,1,24,1,8,1,9,2,17,1,12,1,17,3,28,18,30,5,6,1,7,1,13,2,6,2,30,1,29,1,6,1,7,1,30,1,6,3,30,3,6,1,30,1,6,1,7,1,6,1,28,1,29,1,9,2,8,1,13,1,10,1,9,2,10,1,11,1,9,2,10,1,9,4,11,1,9,1,8,1,9,1,13,1,9,2,11,1,12,1,9,1,11,1,9,1,8,2,11,1,9,1,10,1,11,1,9,4,11,1,9,3,11,4,16,3,9,1,10,1,12,1,8,1,9,1,11,1,8,1,10,1,9,2,12,1,9,1,11,1,10,1,9,1,16,1,10,1,12,1,17,3,16,1,17,21,16,2,17,3,11,1,17,3,16,1,9,1,6,2,30,3,6,1,30,1,6,1,30,2,29,1,30,2,28,1,30,1,6,1,28,1,7,1,6,1,30,1,6,1,30,1,6,1,29,1,13,2,6,1,13,3,9,1,8,1,7,1,29,2,30,1,6,1,28,2,6,2,28,1,30,2,28,1,30,1,6,1,13,1,9,2,12,1,17,3,11,1,12,1,11,1,9,5,8,1,9,2,13,2,7,1,8,1,13,1,8,2,13,4,9,1,13,1,6,1,13,6,8,3,13,1,9,1,8,1,9,2,13,1,9,2,11,1,10,1,9,1,11,3,17,1,12,2,11,1,17,3,12,1,9,1,12,1,11,1,9,2,11,1,10,1,9,2,8,1,13,4,7,2,13,2,10,1,9,3,8,1,13,2,7,2,6,1,29,1,30,1,6,1,28,1,29,1,6,1,30,1,6,2,13,1,7,1,13,2,8,1,6,2,13,2,8,1,13,1,7,2,6,1,13,1,8,1,13,2,7,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,6,2,28,2,30,1,28,6,30,1,28,10,30,1,28,1,29,1,30,1,6,1,29,1,6,1,13,1,7,2,8,1,13,2,24,1,9,1,17,1,9,1,8,1,13,1,8,3,13,1,8,1,13,1,8,1,6,1,8,2,6,1,13,3,7,1,8,1,13,2,8,2,24,1,13,3,24,1,8,1,11,1,9,1,11,1,12,1,9,2,8,2,9,1,13,1,9,1,13,1,8,2,9,2,8,1,9,2,13,1,8,2,13,2,8,1,13,1,8,2,13,2,7,1,6,1,8,1,13,3,7,2,6,2,30,2,28,1,6,1,28,1,7,1,6,1,13,1,6,1,29,1,6,1,29,1,7,1,30,1,6,2,29,1,30,1,6,2,29,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,6,1,29,2,30,1,28,1,29,2,28,1,30,3,6,3,30,2,28,1,30,1,29,1,6,2,28,1,30,4,28,1,6,1,7,1,6,2,30,1,6,1,30,1,28,1,6,1,30,2,6,2,30,2,6,1,7,1,6,1,30,2,29,1,6,1,30,1,6,2,30,1,6,1,30,3,6,1,29,1,7,1,29,1,30,1,6,1,7,1,6,4,30,2,28,1,6,1,7,1,6,1,7,1,6,1,8,1,6,1,8,1,11,1,13,1,9,1,11,2,8,1,13,1,6,1,30,1,7,1,30,2,28,5,30,2,29,1,25,2,24,1,25,1,24,1,8,1,24,1,8,2,24,2,15,1,24,1,26,1,8,1,25,1,24,1,8,1,24,1,9,2,8,1,11,1,8,1,9,1,13,3,30,1,29,1,6,4,30,5,6,1,30,1,9,1,30,2,6,1,28,1,30,2,28,1,6,1,30,1,28,2,29,1,30,1,29,1,30,1,29,1,6,2,28,1,30,1,28,2,29,1,28,1,30,4,6,2,30,1,28,1,30,4,29,1,28,1,6,2,30,3,28,3,30,4,28,1,30,1,29,1,30,3,28,1,30,1,28,3,13,1,9,3,6,1,13,2,30,3,28,2,30,1,28,2,30,1,28,1,6,2,29,1,30,1,6,1,29,1,6,1,13,1,30,2,29,2,30,6,28,7,30,1,28,1,7,1,9,2,6,1,30,2,28,1,30,2,28,1,30,1,28,2,30,3,28,2,30,4,28,1,30,2,28,1,6,1,30,4,28,1,30,4,28,1,30,4,6,1,16,1,30,2,6,1,30,1,28,2,30,1,28,3,30,1,28,5,30,1,28,1,30,2,28,5,30,1,28,3,6,1,28,1,30,1,28,1,30,2,28,2,30,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,4,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,2,28,4,30,1,28,8,30,1,28,1,30,1,6,1,28,4,30,1,28,6,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,2,13,1,29,1,6,3,13,1,6,3,30,1,29,1,30,1,29,1,30,2,6,1,30,1,28,1,6,1,30,1,6,1,29,1,6,4,30,1,6,1,30,3,6,1,30,1,28,1,30,2,6,1,30,5,28,1,6,1,30,1,28,1,30,2,13,1,6,1,30,3,28,1,30,2,29,2,11,1,13,1,6,1,30,2,28,1,30,1,28,3,30,1,28,2,30,3,28,1,30,1,28,2,6,1,30,1,28,1,30,3,28,1,30,1,6,2,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,6,1,28,1,30,1,28,1,30,4,28,1,30,2,28,1,29,1,28,1,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,10,30,1,6,1,28,4,6,1,13,1,28,6,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,11,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,11,30,1,28,2,30,1,28,15,30,1,28,9,30,1,28,13,30,1,28,6,30,1,28,11,30,1,9,1,13,1,28,11,30,1,28,4,13,1,30,1,28,1,6,1,28,2,30,1,28,5,30,1,28,5,30,1,28,2,30,1,28,18,30,1,28,10,30,1,28,4,30,1,28,4,30,1,28,16,30,1,28,2,30,1,28,5,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,2,6,1,28,8,30,1,28,1,6,1,28,12,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,2,30,3,28,3,30,1,28,2,30,1,28,3,30,1,11,1,16,1,17,13,11,1,17,19,16,1,17,8,11,1,17,10,12,1,17,3,16,2,17,1,16,1,17,1,12,1,7,1,6,1,29,1,30,1,28,2,30,1,6,1,28,15,13,3,6,1,13,4,8,2,9,3,11,1,9,1,10,1,9,1,11,1,17,1,12,2,11,3,10,1,9,2,11,4,9,2,16,1,17,5,11,2,17,1,11,1,16,2,9,1,16,2,17,5,11,1,10,1,11,2,17,1,9,2,11,2,13,1,30,1,28,5,30,1,28,6,30,2,28,2,30,1,28,1,30,1,29,1,28,2,30,2,28,5,30,2,28,5,6,2,28,24,6,1,29,1,28,2,30,4,13,3,8,2,9,1,10,1,16,1,11,1,17,1,10,1,16,1,11,2,12,1,11,1,16,1,11,1,17,2,9,1,6,1,30,1,6,1,30,2,6,2,30,6,28,1,30,1,28,1,30,1,28,1,9,1,30,1,28,24,30,1,28,11,30,1,28,4,30,1,28,1,30,1,28,2,30,1,29,1,28,2,30,2,28,1,30,2,29,1,30,1,6,1,28,1,6,3,7,1,29,1,6,1,30,1,13,1,6,2,29,1,9,1,6,4,29,1,7,1,6,1,30,2,6,1,13,1,6,1,29,1,6,1,29,1,30,5,6,1,30,3,28,1,30,1,28,1,6,1,28,5,30,2,28,1,30,2,28,1,30,1,28,3,6,1,30,1,28,4,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,2,30,2,28,3,30,1,6,1,30,3,28,2,6,1,30,2,6,2,29,3,6,1,30,1,6,1,7,1,28,1,6,1,29,1,7,1,13,2,7,1,6,1,13,2,6,1,8,1,7,1,13,2,7,1,13,1,7,1,13,7,8,1,7,1,8,1,13,5,9,1,8,1,10,1,9,4,10,1,9,1,11,2,17,3,12,1,17,1,10,1,16,1,11,1,17,2,10,1,11,1,9,1,11,3,17,20,11,1,9,1,13,1,6,1,30,1,6,2,30,2,29,2,30,6,6,1,29,1,30,3,29,1,30,1,29,2,30,1,28,2,29,1,28,1,29,1,28,1,30,2,28,1,29,1,28,1,30,3,28,2,30,2,28,1,30,2,28,1,30,6,6,1,29,2,30,1,29,2,6,2,30,2,6,2,28,1,29,1,28,1,30,2,6,1,30,2,29,1,6,2,30,4,29,1,28,1,13,1,30,1,13,1,30,1,6,1,29,2,30,1,6,1,29,2,6,1,28,1,6,2,30,1,6,1,30,1,28,1,13,1,6,8,13,1,6,1,7,1,13,1,6,1,7,1,13,2,7,1,13,1,6,1,13,3,7,1,13,1,6,1,13,2,7,1,8,1,13,2,8,1,13,4,7,1,13,2,8,1,13,4,8,1,13,1,8,3,9,1,13,1,8,1,13,1,8,1,6,1,8,2,13,5,7,1,9,1,13,6,6,1,13,2,6,1,13,1,7,1,6,1,13,3,9,1,8,3,9,2,8,2,9,2,11,1,9,2,11,1,10,1,17,1,9,1,16,2,8,1,11,1,9,2,16,3,17,7,11,1,9,3,13,2,9,1,8,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,8,2,9,1,13,1,9,1,13,1,9,3,8,1,9,4,28,16,17,2,11,1,8,1,13,2,6,2,13,1,8,1,29,1,6,1,28,5,29,1,30,1,28,1,6,1,7,2,30,1,7,2,9,3,17,2,16,1,7,1,28,5,29,1,9,1,13,1,29,1,30,1,28,1,30,1,28,39,13,1,30,1,28,3,13,1,17,2,16,1,9,1,7,1,13,3,9,2,8,1,9,1,11,1,17,1,6,1,28,6,7,1,30,1,28,16,}, {12,1,11,1,8,2,6,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,9,1,29,1,28,51,29,1,8,1,10,1,11,2,8,1,29,1,6,1,30,1,6,1,13,2,9,1,13,4,6,1,8,1,10,1,9,1,17,6,12,1,17,1,7,2,28,1,29,1,28,1,8,1,9,1,12,1,13,1,7,1,13,1,7,1,6,2,17,5,12,1,11,1,9,1,8,1,13,2,24,1,10,1,11,1,17,2,16,1,6,1,30,1,29,1,6,1,13,1,6,1,13,1,8,1,28,37,6,2,8,1,9,2,8,1,29,2,28,4,7,1,17,8,9,1,8,1,13,1,24,1,6,1,8,1,13,1,6,2,13,1,29,2,8,1,13,1,24,1,9,1,12,1,8,1,10,1,12,1,10,1,17,3,28,17,30,1,28,1,29,1,6,1,30,2,6,1,30,2,6,1,28,2,30,1,6,1,28,1,6,1,30,1,6,2,30,1,29,1,6,1,30,1,28,1,30,2,13,1,6,1,29,1,13,2,10,1,9,1,11,1,10,1,9,4,16,1,11,1,9,1,10,1,9,3,10,1,9,1,11,1,9,1,11,1,8,1,9,1,10,1,9,1,11,3,9,1,11,1,9,1,8,1,9,1,11,1,10,1,16,1,17,1,16,1,17,1,11,1,17,1,9,1,12,1,11,1,9,1,12,1,8,1,10,1,16,1,9,1,8,1,9,1,8,1,10,1,11,1,10,4,9,4,11,1,17,1,11,1,17,4,11,1,17,5,16,1,17,2,11,1,17,6,16,1,17,1,16,1,17,1,16,1,11,1,17,2,11,2,17,1,11,1,17,3,16,1,9,1,29,2,6,2,30,1,6,1,30,1,6,4,28,1,30,1,6,1,28,2,30,1,6,3,13,1,6,1,13,1,7,1,13,2,7,1,13,2,6,1,13,1,6,1,8,1,30,1,28,1,30,2,28,1,29,1,30,7,28,1,30,2,6,1,30,1,13,2,9,1,11,3,17,8,11,1,10,1,9,8,11,1,9,1,8,1,10,3,9,1,11,1,10,1,9,1,11,1,10,1,9,1,17,1,10,2,12,2,9,1,11,1,17,2,12,1,17,1,11,2,17,2,12,1,11,1,17,2,11,1,17,1,11,1,9,1,10,1,9,1,11,1,8,1,9,2,8,1,24,1,8,1,13,5,8,3,11,1,9,2,13,4,6,2,29,1,6,3,28,1,6,1,30,1,6,1,29,2,13,1,6,1,7,1,13,5,6,1,7,2,13,1,7,3,13,2,6,1,13,1,6,2,30,2,6,1,30,1,29,1,6,1,30,1,28,2,30,1,28,2,30,1,28,5,30,2,28,4,30,1,28,1,30,1,28,1,29,1,28,1,30,5,29,1,7,1,6,1,13,2,24,2,9,1,17,1,24,2,8,2,24,1,6,1,8,1,13,2,8,2,13,3,8,1,13,2,24,1,8,1,9,1,24,2,9,3,24,1,8,1,9,1,8,1,9,1,17,1,12,1,17,1,11,1,8,5,13,1,8,1,9,2,8,1,9,1,24,1,8,1,9,1,13,2,8,3,9,1,7,1,13,4,8,1,13,1,8,1,7,1,13,1,7,1,13,1,6,1,29,1,7,1,30,1,6,1,30,1,28,1,30,2,29,1,30,1,6,2,7,1,30,1,6,2,30,1,29,1,6,1,30,1,13,1,6,2,7,1,6,1,29,3,30,1,29,1,30,1,29,1,30,1,29,1,30,2,6,1,30,1,6,1,30,2,6,1,28,1,6,3,29,4,30,2,29,1,28,1,29,1,28,1,6,1,30,1,7,2,30,2,29,1,6,1,29,1,6,2,29,1,6,1,30,1,6,2,30,1,6,3,7,1,30,3,29,1,28,1,6,3,30,1,6,1,29,1,13,1,6,3,7,1,6,2,30,1,29,1,6,4,13,1,7,1,13,1,8,1,9,2,13,1,8,1,16,1,13,1,29,1,28,11,30,1,28,1,29,1,30,2,26,1,27,1,24,2,8,1,25,2,24,7,27,1,8,1,25,1,8,1,7,1,6,1,9,3,10,1,9,2,13,1,30,2,6,1,30,1,28,1,6,1,30,3,6,4,30,1,29,1,30,1,6,1,30,2,28,2,30,1,28,1,30,7,6,1,30,2,6,1,28,1,30,4,28,2,30,1,28,4,30,6,28,1,30,1,28,1,30,2,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,2,6,1,30,2,6,1,28,2,30,1,28,1,6,1,9,1,17,1,9,1,8,1,6,2,28,1,6,1,30,1,28,5,30,1,6,2,29,1,28,1,7,1,30,4,6,1,30,5,28,2,30,1,28,1,30,2,28,2,30,2,6,1,7,1,10,1,13,1,29,2,30,2,28,1,30,1,28,3,30,8,28,1,30,2,28,2,30,1,29,1,28,1,29,1,28,4,30,1,28,2,30,4,13,1,30,2,16,1,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,10,30,1,28,5,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,3,30,2,28,3,30,1,28,7,30,1,28,1,30,1,28,2,30,1,28,12,30,2,6,1,28,1,30,1,28,2,30,1,28,5,30,4,28,3,30,1,28,4,30,4,6,1,30,1,6,2,30,2,13,1,6,4,30,2,6,1,29,1,6,1,28,1,6,2,29,1,6,1,30,1,28,1,29,1,28,1,30,1,6,1,30,1,28,1,29,1,30,3,28,1,6,1,30,2,28,1,30,2,6,1,30,6,28,1,6,2,28,2,13,1,29,1,28,1,6,1,28,1,30,1,6,1,28,1,6,1,9,1,7,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,6,1,30,4,28,1,30,1,6,2,28,1,30,2,28,1,30,1,28,2,6,2,28,1,30,1,28,1,30,3,28,2,30,1,28,2,29,1,30,1,6,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,28,3,30,5,28,2,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,2,30,1,28,4,30,1,13,1,28,4,9,1,30,1,28,12,30,1,28,4,30,1,28,10,30,2,28,13,30,1,28,9,30,1,28,26,30,1,28,6,30,1,28,26,30,1,9,1,28,17,13,1,28,2,30,1,28,8,30,1,28,6,6,1,28,3,6,1,28,23,30,2,28,6,30,1,28,1,30,1,28,11,30,1,28,7,30,1,28,9,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,3,30,2,28,1,30,4,28,12,30,1,28,6,30,1,28,1,30,4,28,13,30,1,8,1,9,1,17,12,16,1,17,24,16,1,17,7,11,1,17,3,12,1,17,1,11,1,12,1,17,1,16,1,11,1,16,1,17,1,11,1,16,1,12,1,17,1,8,1,6,1,29,2,30,1,28,1,30,1,29,1,30,1,28,14,6,1,13,6,6,1,8,1,9,1,13,1,8,2,11,1,13,1,11,2,8,1,9,2,11,1,17,1,11,3,10,1,9,1,10,2,11,2,10,1,9,1,17,4,16,1,17,1,11,1,10,1,11,2,17,1,10,1,17,1,11,1,17,1,11,1,17,1,12,1,17,3,11,1,17,2,11,1,10,1,11,3,10,1,13,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,6,2,29,1,30,1,29,1,30,2,28,1,30,2,28,1,30,1,28,8,6,1,30,1,28,24,30,1,28,1,30,4,6,3,8,1,13,2,9,2,11,1,12,1,11,1,17,1,12,2,10,1,17,1,9,1,10,1,11,2,12,1,17,1,9,1,13,1,6,1,30,3,28,1,30,2,6,1,30,3,28,2,30,2,29,1,6,1,8,1,28,34,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,3,6,1,30,2,6,2,28,1,6,1,7,1,28,1,6,2,30,1,7,1,6,2,29,1,28,1,6,1,30,1,6,1,30,1,6,2,30,1,29,1,30,1,6,1,30,2,6,1,30,3,6,2,30,1,6,1,28,1,6,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,6,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,7,30,5,6,1,28,2,30,4,29,1,30,1,28,1,6,1,29,1,30,1,13,1,6,2,29,1,6,1,7,1,6,4,29,1,13,2,6,1,13,1,6,1,13,1,6,1,7,1,13,4,7,2,13,1,7,1,13,3,9,1,13,3,8,1,13,4,8,2,9,1,8,1,9,2,8,1,9,3,17,4,11,2,16,1,9,1,16,1,10,1,11,1,10,1,11,1,9,1,12,1,10,1,17,1,12,2,17,17,11,1,9,2,13,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,6,1,29,1,30,1,28,1,30,2,6,2,30,2,29,2,6,1,30,1,6,1,7,1,30,1,29,1,30,2,29,1,30,10,28,1,30,2,28,1,30,3,6,4,28,1,7,1,29,1,6,4,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,4,28,1,6,1,29,1,6,1,30,1,28,1,6,3,29,1,30,1,29,1,6,1,30,5,6,1,30,1,7,1,13,2,6,2,13,3,6,5,13,1,7,1,13,2,7,1,6,2,29,1,13,1,6,1,29,1,13,4,8,1,13,2,6,1,13,1,7,1,13,9,8,2,13,2,7,1,13,7,8,1,7,1,8,1,6,1,9,1,13,8,7,1,13,4,8,1,6,3,13,1,6,1,7,1,13,1,6,1,13,1,6,4,13,2,8,1,13,1,6,1,8,1,13,3,9,1,8,1,9,3,10,1,8,1,11,2,9,1,10,1,11,3,10,1,11,1,9,3,16,2,17,4,11,1,16,1,9,2,8,1,9,2,8,2,9,3,13,1,8,1,13,1,9,1,13,1,8,2,9,1,8,2,9,1,11,1,8,1,13,1,11,1,10,2,9,1,30,1,28,15,17,2,8,1,9,1,13,3,6,1,7,1,8,1,6,2,28,5,30,1,28,1,30,2,28,1,29,1,6,1,13,1,8,1,9,2,10,1,11,1,17,1,11,1,30,1,28,6,9,1,8,1,28,1,30,1,28,40,29,1,6,1,28,4,8,1,17,2,11,1,8,2,13,1,8,1,7,1,9,1,8,1,9,1,11,1,17,2,6,1,28,6,6,1,30,2,28,15,}, {17,1,16,1,13,1,7,1,13,1,29,1,30,1,28,4,6,1,8,2,30,1,28,50,30,1,13,1,9,1,11,1,10,1,9,1,13,1,6,2,28,1,13,1,9,2,13,1,7,1,6,2,13,1,24,1,9,2,10,1,17,5,11,1,9,1,8,1,30,1,7,1,29,1,30,2,24,1,9,1,8,1,13,1,6,1,13,1,6,1,13,1,10,1,17,4,11,2,8,1,7,1,13,1,9,1,7,1,9,1,17,3,11,1,13,1,28,1,6,2,7,1,29,1,13,2,28,37,6,2,9,2,10,1,9,1,6,1,28,1,6,1,28,3,13,1,17,7,11,1,8,2,13,2,8,2,6,1,13,1,6,1,30,1,6,1,8,1,7,1,6,1,13,1,12,1,9,3,10,1,11,1,17,3,28,16,30,6,6,5,30,1,29,1,6,1,30,1,6,1,30,2,6,2,30,1,6,1,29,1,30,3,6,2,29,1,28,1,13,2,11,1,9,4,10,1,9,3,10,2,9,1,11,1,9,2,11,1,9,2,13,1,9,2,8,1,11,1,9,1,11,1,9,1,11,2,9,2,10,1,9,6,16,1,12,1,17,3,11,1,9,1,11,1,12,1,11,1,16,1,10,1,16,1,9,1,11,1,10,2,16,1,10,1,11,2,12,1,11,1,9,2,10,1,9,1,16,1,17,1,12,1,11,1,17,12,16,2,17,1,11,1,17,2,16,3,17,3,16,2,17,4,11,1,16,2,9,1,30,2,6,1,29,1,30,1,6,7,29,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,7,1,6,2,13,1,6,1,13,1,6,3,13,2,7,1,6,1,30,2,28,1,30,7,28,1,30,5,28,3,30,1,28,1,29,1,28,1,30,2,29,1,6,1,13,1,6,1,9,1,10,1,17,1,12,1,11,2,10,1,11,1,16,1,17,1,16,1,12,2,17,1,12,2,17,1,11,1,17,10,11,2,17,3,12,1,17,3,11,1,17,2,12,2,11,1,17,1,12,3,24,1,11,1,9,2,8,1,9,1,13,1,8,3,13,1,8,1,13,2,8,1,13,1,8,1,13,1,9,2,8,1,9,1,13,1,8,1,13,2,7,1,6,1,29,1,6,3,30,1,29,1,28,1,6,1,13,2,6,1,13,4,7,1,8,1,13,1,8,1,13,3,8,1,7,2,13,2,7,1,30,1,6,1,30,1,29,2,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,7,30,1,28,2,30,1,28,3,30,2,28,1,30,1,6,6,13,2,10,1,8,1,11,1,9,1,24,1,8,1,9,1,13,1,9,1,8,2,13,1,24,2,8,1,13,1,24,1,13,2,10,1,24,1,8,2,9,1,10,1,9,2,10,1,13,1,9,2,10,1,9,2,10,1,12,1,11,2,9,2,11,1,9,1,13,2,9,1,8,1,9,2,8,3,13,1,9,1,8,2,13,1,6,1,24,1,13,1,24,1,9,1,6,1,13,3,8,1,13,2,7,1,13,1,6,3,30,1,6,2,30,4,28,1,6,1,13,1,29,1,7,1,29,1,30,1,13,1,6,2,29,1,6,1,29,2,30,2,7,1,28,1,29,3,28,2,29,1,30,3,28,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,29,1,28,1,8,1,6,1,30,1,6,1,30,1,13,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,6,3,30,1,6,1,30,1,29,1,6,1,7,2,28,1,6,4,30,1,6,3,29,1,7,1,6,5,13,1,29,1,13,1,7,1,9,1,13,1,28,1,30,1,6,1,28,7,30,1,28,2,29,2,30,2,28,1,29,1,30,1,29,1,25,2,24,1,25,1,24,5,8,1,24,4,26,1,24,1,8,3,6,1,13,1,9,3,16,1,10,1,13,1,6,3,13,1,30,2,7,1,30,1,6,1,30,1,28,1,30,1,6,3,29,1,28,1,30,2,28,2,30,1,28,1,30,2,29,1,30,2,6,5,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,5,28,1,30,3,28,2,30,4,28,1,30,1,28,1,30,1,28,4,6,2,28,1,30,1,6,1,30,1,28,3,6,1,9,1,17,1,11,1,10,1,8,1,6,1,30,1,28,2,30,1,6,1,30,2,13,1,30,1,6,2,7,1,6,3,29,1,30,1,29,1,30,4,28,2,30,6,28,1,30,1,13,1,9,1,13,1,6,1,30,1,28,1,6,1,30,1,29,1,28,3,30,1,28,1,30,5,28,2,30,2,28,3,30,1,28,1,29,1,30,2,28,2,30,1,28,1,30,2,28,2,29,2,30,2,6,1,8,1,30,1,28,1,29,1,28,10,30,1,28,12,30,1,28,8,6,1,28,2,6,1,28,1,30,2,28,1,30,1,28,4,30,1,28,3,30,4,28,6,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,5,30,1,28,2,30,2,7,1,6,1,28,2,30,1,28,3,30,1,28,11,30,1,28,1,30,2,28,3,30,1,28,1,30,1,6,5,13,2,6,1,30,1,6,5,30,2,6,1,30,1,6,1,30,1,29,1,30,2,29,1,6,1,13,1,6,3,30,1,29,1,30,4,28,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,6,1,28,1,30,2,28,1,30,2,13,1,29,1,28,1,6,2,30,1,28,1,9,1,16,1,6,2,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,2,29,1,30,1,6,1,28,2,30,1,6,1,28,1,30,2,28,2,30,2,13,1,6,1,28,1,30,2,6,1,30,1,28,1,30,2,6,1,30,2,7,1,6,4,30,1,29,1,30,3,29,1,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,2,28,1,30,1,28,2,30,1,28,5,30,2,28,1,30,1,13,1,28,1,6,1,28,2,9,1,13,1,28,2,30,2,28,2,30,2,28,7,30,1,28,67,30,1,28,9,30,1,28,20,6,1,11,1,28,6,30,1,28,1,30,1,28,7,30,1,6,1,28,3,30,1,28,1,30,1,28,6,30,1,28,5,30,1,28,3,30,1,28,16,30,1,28,1,30,1,13,2,28,1,30,2,28,9,30,1,28,9,30,2,28,2,30,1,28,14,30,1,28,8,30,3,28,2,30,2,28,1,30,2,28,6,30,1,6,1,30,1,28,3,30,2,28,10,30,1,28,8,30,1,28,3,30,2,28,1,30,1,28,8,30,1,28,2,30,2,13,1,16,1,17,13,16,1,17,32,12,1,17,4,11,1,12,1,17,4,11,1,17,1,11,1,17,1,10,1,6,1,30,1,6,1,30,1,28,1,30,1,29,1,28,15,13,4,6,1,13,3,8,1,13,1,8,1,9,3,11,1,9,2,8,1,9,1,8,1,10,2,11,2,9,1,11,1,9,2,11,1,8,1,11,1,10,1,9,1,16,1,17,5,16,1,11,5,9,1,11,2,17,4,11,3,17,1,10,1,11,1,10,1,11,1,10,1,11,1,9,1,10,1,30,4,28,2,30,3,29,1,28,1,30,2,6,3,30,1,6,1,30,1,28,1,30,4,28,1,30,3,28,1,30,1,28,5,6,2,28,6,30,1,28,6,30,1,28,11,30,1,6,1,30,2,29,2,6,1,7,1,13,2,8,1,9,1,8,1,9,1,10,1,11,1,16,1,12,1,11,1,17,1,16,1,10,1,11,1,17,1,10,1,11,1,12,1,17,1,16,1,8,1,13,1,30,7,28,1,30,1,28,1,30,1,28,3,30,2,6,1,28,26,30,1,28,1,30,1,28,9,30,2,28,2,30,1,28,1,30,1,28,1,30,9,6,1,28,1,6,1,30,1,28,1,30,1,6,4,29,1,6,2,28,1,6,1,7,1,6,2,13,1,29,1,6,3,30,1,6,3,30,1,6,1,30,2,29,1,6,1,30,2,28,1,13,1,28,1,6,1,30,1,28,3,30,1,28,2,30,2,28,3,30,3,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,4,30,1,28,6,30,1,28,1,30,1,6,1,28,2,30,1,13,3,30,1,6,1,30,5,6,1,29,2,6,1,29,1,6,1,7,1,6,1,7,1,6,1,29,1,6,2,13,1,7,1,13,3,6,1,13,2,6,1,9,1,13,2,6,1,13,1,6,1,8,1,6,1,8,1,13,2,9,1,13,8,8,2,13,1,9,1,13,1,8,1,9,1,8,1,9,2,11,1,17,4,11,1,17,1,16,1,11,1,16,1,11,2,12,1,10,1,9,1,8,1,9,1,8,1,11,2,9,1,17,17,16,1,8,2,13,1,6,1,7,1,30,1,29,1,6,4,30,1,29,1,30,2,6,1,30,2,28,1,30,1,6,1,30,3,6,1,30,1,6,3,30,1,6,1,30,1,29,1,30,4,6,1,30,2,29,1,30,1,29,1,30,2,28,1,30,1,28,1,6,1,30,2,28,1,29,1,6,1,29,1,6,2,13,1,30,1,6,1,30,1,6,1,28,1,30,2,6,1,30,2,6,1,28,1,29,1,30,2,6,1,28,1,30,3,6,1,29,1,6,1,30,2,29,1,7,1,6,2,30,1,6,1,29,1,6,1,28,1,6,2,7,1,13,1,6,2,29,1,28,1,6,1,29,2,6,2,13,1,7,1,6,1,13,2,6,2,13,1,6,2,7,1,6,1,13,1,6,2,30,1,13,1,7,1,13,5,8,1,13,1,8,1,13,2,6,1,13,1,8,1,13,6,7,1,8,1,13,2,8,1,13,4,8,1,13,2,8,1,6,1,7,1,13,2,9,1,13,3,8,1,13,5,7,1,6,1,29,1,28,1,6,1,7,1,6,4,13,2,6,1,7,1,13,2,7,1,13,3,9,1,7,1,13,1,8,1,13,1,9,1,8,1,9,2,10,1,8,1,11,1,9,1,12,1,9,1,12,2,9,1,11,1,9,2,16,2,17,5,11,1,9,1,13,1,9,1,8,1,9,2,11,1,9,1,13,1,8,3,9,2,8,1,9,1,13,1,8,1,13,2,8,1,9,2,10,1,9,1,11,1,13,1,30,1,28,15,17,2,11,1,9,1,13,6,30,1,28,9,6,1,28,1,29,1,7,1,13,1,8,1,11,1,9,1,11,2,17,1,9,1,28,6,30,1,8,2,6,1,28,2,30,1,28,38,29,2,28,3,30,1,13,1,17,3,7,1,13,1,8,1,7,1,9,1,7,1,8,1,11,1,12,1,17,2,30,1,28,6,7,1,28,17,}, {17,1,12,1,9,1,6,3,29,1,30,1,6,1,28,2,29,1,11,1,12,1,28,52,6,1,8,1,9,1,10,1,8,1,13,1,6,4,11,1,9,1,13,2,29,1,6,1,7,1,9,1,13,1,9,1,17,5,12,1,11,2,13,2,28,3,6,1,9,1,10,1,8,2,13,1,6,1,7,1,6,1,11,1,17,4,11,1,13,1,9,1,13,2,8,1,29,1,12,1,17,3,9,1,7,2,30,1,13,1,30,1,7,1,6,1,8,1,28,37,7,2,9,1,12,1,11,1,8,1,29,1,30,3,28,2,8,1,17,7,11,1,9,1,13,3,6,1,13,1,6,1,28,2,13,1,29,1,13,2,8,1,13,2,9,3,16,1,11,1,16,1,17,2,29,1,28,15,30,2,29,1,30,4,29,1,7,1,6,1,30,2,29,1,28,2,30,4,6,2,28,2,6,1,29,1,30,2,6,2,29,1,13,1,8,1,11,1,9,2,10,1,9,1,10,1,9,1,16,1,9,4,11,1,9,1,11,1,9,1,16,1,11,1,9,4,13,1,9,2,11,1,9,1,16,1,12,1,9,2,10,1,9,1,11,1,12,1,9,5,10,1,8,1,16,1,12,1,16,1,9,1,10,2,11,1,16,1,11,2,9,4,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,2,17,3,16,1,17,1,11,1,17,3,12,1,17,8,16,2,17,2,16,1,11,1,17,1,16,1,11,1,16,1,12,1,17,1,16,2,17,3,11,1,10,1,30,1,6,2,29,1,6,1,30,1,6,1,13,1,30,2,6,3,7,1,29,1,6,2,30,1,29,1,6,4,29,1,13,2,7,1,13,2,6,1,13,2,8,1,6,1,28,3,29,1,30,6,28,1,30,2,28,1,30,1,29,1,30,1,6,1,29,1,6,1,30,6,6,1,30,1,28,1,30,1,6,2,30,2,6,1,7,1,6,3,13,1,8,2,9,3,17,11,11,1,17,9,11,1,17,1,9,1,12,2,17,1,11,1,10,1,12,1,9,4,24,1,9,1,13,1,8,1,13,6,7,1,13,4,8,1,9,1,8,1,10,1,8,1,13,2,8,1,13,1,30,1,6,2,30,2,28,1,30,2,6,1,7,1,13,3,6,1,13,1,7,1,13,1,6,1,7,1,8,1,13,1,8,2,7,2,13,2,6,1,7,1,30,3,29,1,30,5,28,1,30,1,28,11,30,1,28,5,30,3,28,1,30,1,28,1,6,1,28,1,29,1,28,1,6,1,7,1,6,1,13,1,8,1,13,1,9,1,8,1,24,4,13,1,7,1,24,1,8,1,24,1,8,2,13,1,24,1,8,1,24,1,13,1,9,1,13,1,24,2,8,1,24,1,10,1,24,1,9,1,11,1,8,1,11,2,17,1,12,1,10,1,11,1,12,1,10,1,11,1,8,1,11,1,10,1,9,1,11,1,9,1,8,1,10,1,9,1,8,2,9,1,13,2,24,1,13,4,7,1,9,1,13,1,8,1,13,5,9,1,13,3,7,1,13,1,6,1,13,1,6,1,29,1,6,3,30,1,6,1,7,1,28,1,30,1,29,1,6,1,28,1,13,1,29,1,30,1,6,1,7,1,6,1,30,1,29,1,30,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,3,7,1,30,1,6,1,30,1,6,2,29,1,30,4,7,1,29,1,30,1,29,1,30,1,28,1,30,1,29,1,30,1,7,1,13,1,30,1,29,2,30,2,6,2,29,2,30,1,6,5,29,1,6,1,29,1,6,2,30,1,6,1,30,1,29,1,7,1,6,3,7,1,6,2,28,1,30,1,7,1,30,1,6,1,13,1,6,1,13,1,6,2,13,2,7,1,24,1,29,1,28,8,30,2,28,1,30,1,29,3,30,1,27,1,28,1,27,1,29,2,27,1,25,1,24,4,25,1,24,7,25,1,8,1,24,2,13,1,7,1,9,1,8,2,11,1,8,1,16,1,13,1,30,1,29,1,30,1,28,2,30,1,6,2,7,1,6,1,30,1,6,2,29,1,30,1,6,1,30,2,6,1,28,1,30,3,28,2,30,2,29,2,6,2,29,1,28,2,30,5,28,1,30,2,28,1,30,1,28,1,30,6,28,3,30,2,28,7,6,1,30,1,28,2,30,2,28,1,29,1,30,2,28,1,30,2,28,1,30,1,28,4,6,1,13,1,9,1,17,5,9,1,13,1,9,1,11,2,9,1,13,1,6,1,13,2,6,1,7,1,30,2,6,2,28,2,30,3,6,1,30,1,28,1,30,2,6,1,13,1,9,1,11,1,6,1,30,1,28,1,30,3,28,2,29,1,30,1,28,2,30,1,28,1,30,2,28,1,30,4,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,4,30,2,29,3,6,1,29,1,9,1,28,1,30,1,29,1,28,4,30,3,28,8,30,1,28,2,30,2,28,1,6,1,28,1,30,1,28,3,30,2,28,3,30,2,28,1,30,3,28,4,30,1,28,3,30,1,28,4,30,2,28,11,30,1,28,1,30,2,28,10,6,2,28,2,30,1,28,1,30,1,28,6,30,3,28,3,30,2,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,3,8,1,6,1,29,1,30,1,6,3,13,1,6,1,13,1,6,1,29,1,6,2,30,1,6,1,30,1,7,1,29,1,30,1,6,1,30,1,29,1,6,2,7,1,30,1,6,4,30,1,13,1,6,1,29,1,6,1,30,2,28,1,29,1,30,1,28,1,6,1,30,1,28,2,30,2,6,1,30,2,7,1,6,1,30,5,13,1,11,1,6,1,30,2,28,2,30,4,28,1,30,2,6,1,13,1,6,1,30,2,6,2,30,4,28,1,30,2,28,1,6,1,7,1,28,4,30,1,29,1,28,1,30,1,28,1,6,1,7,1,30,1,28,1,30,4,28,2,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,11,30,1,28,1,30,1,13,1,28,4,11,1,28,2,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,4,30,1,28,72,30,1,28,24,30,1,10,1,28,3,30,2,28,11,6,1,28,16,29,1,28,2,29,1,28,2,30,1,6,1,28,1,30,1,28,7,30,1,28,6,30,1,6,1,30,1,9,1,6,1,28,3,30,1,28,5,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,1,30,2,28,8,30,1,28,1,30,1,28,1,30,2,28,3,30,2,28,1,30,1,28,3,30,1,28,1,6,1,28,1,30,3,28,1,30,1,28,5,6,1,28,18,30,1,28,6,30,1,28,1,30,1,28,2,30,2,28,8,30,1,13,1,17,45,11,1,17,5,16,1,11,1,17,2,11,1,17,1,12,1,16,1,12,1,17,2,7,1,30,1,29,1,27,2,28,17,30,1,13,6,7,1,13,2,9,1,13,1,9,1,8,1,11,1,10,1,9,1,10,1,11,1,9,1,10,1,8,1,17,1,9,1,11,1,9,1,16,1,8,1,10,2,17,1,11,1,8,1,11,1,17,4,11,1,17,1,10,1,11,4,9,1,17,1,12,2,11,1,17,3,12,1,17,1,12,1,11,1,10,1,11,2,17,2,10,1,11,1,10,1,13,1,28,3,30,1,28,2,30,2,28,1,6,1,30,4,29,1,30,1,28,1,30,2,28,1,30,2,29,2,30,1,29,1,28,5,13,1,7,1,30,1,28,8,6,1,28,1,30,1,28,16,6,1,30,4,6,1,13,1,8,1,13,1,8,2,9,3,17,1,11,1,17,1,11,2,12,1,16,1,12,2,11,2,17,3,9,1,13,1,7,1,6,1,28,1,30,3,29,1,30,2,28,6,6,1,30,1,28,39,30,2,28,4,29,1,28,1,30,1,28,1,30,1,28,1,6,1,30,3,6,1,28,1,30,3,6,1,29,2,7,1,30,1,6,1,13,1,6,1,13,2,6,2,30,1,6,4,30,1,28,1,29,1,30,2,13,1,30,1,29,1,30,3,6,1,30,3,28,1,6,1,13,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,29,1,28,1,29,2,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,1,29,1,30,1,28,1,30,3,28,1,30,1,29,1,30,1,29,1,28,1,30,2,13,1,29,1,30,1,29,1,6,1,28,1,6,3,13,1,30,1,6,2,13,1,7,2,30,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,6,1,8,1,13,4,9,1,6,1,13,2,8,1,9,1,13,8,8,1,13,3,9,1,8,1,13,1,9,2,13,1,11,1,10,1,17,4,11,2,9,3,11,1,9,1,11,1,8,1,9,1,8,1,10,1,9,3,10,1,11,1,17,1,11,1,12,1,17,13,16,1,13,1,9,1,7,1,6,4,30,1,6,2,7,1,6,1,29,2,30,2,29,1,6,2,30,2,6,1,7,1,30,1,6,1,30,1,6,1,28,1,7,1,29,1,30,2,6,1,29,2,6,1,30,3,29,1,28,1,30,2,6,1,30,1,28,2,30,1,6,1,30,1,6,2,28,1,7,1,30,1,29,1,30,1,13,1,6,1,30,1,6,4,29,1,6,3,30,1,6,1,30,1,28,1,6,1,29,1,30,2,6,1,29,3,30,1,6,1,29,1,30,1,6,1,30,2,29,2,30,1,29,1,7,1,30,1,6,3,28,1,6,6,29,1,6,2,7,1,6,1,7,1,29,1,7,1,13,1,30,1,6,2,30,1,13,1,6,2,13,1,6,1,13,2,6,2,13,1,7,1,13,1,6,1,13,1,7,1,6,2,13,2,8,1,13,1,8,1,7,1,13,5,7,1,13,8,8,1,6,1,13,2,6,1,13,1,7,2,13,5,29,1,6,1,7,2,6,1,13,1,6,1,13,1,29,1,6,1,7,1,6,2,7,1,6,3,8,1,13,1,6,1,13,3,6,2,13,3,9,1,13,1,9,2,8,3,9,4,10,1,8,1,10,1,11,1,9,1,10,1,8,1,9,1,11,1,16,1,11,1,16,1,17,1,11,1,9,1,8,1,9,1,11,1,8,1,9,1,13,2,9,3,13,1,9,1,13,4,9,1,17,1,11,1,9,1,17,1,11,3,9,1,28,16,17,2,16,1,9,1,8,1,13,1,6,1,8,1,7,1,24,1,30,1,28,5,29,2,28,2,30,1,28,1,29,1,7,1,13,1,6,1,9,3,17,2,12,1,30,1,28,5,6,1,9,1,8,1,28,1,30,1,28,40,6,1,29,1,30,1,28,3,8,1,17,2,11,1,13,1,8,1,9,1,13,4,11,1,12,2,17,1,13,1,28,6,6,1,30,1,28,14,30,1,28,1,}, {17,1,16,1,9,1,13,2,30,2,29,1,28,3,30,1,9,2,28,47,30,1,28,3,29,2,8,1,9,1,10,1,13,1,29,3,7,1,6,1,9,2,13,3,29,1,6,1,13,1,10,1,9,1,12,1,17,3,11,1,16,1,17,1,8,1,13,2,29,2,28,1,13,1,8,1,9,1,24,1,30,1,8,1,7,1,30,1,13,1,9,1,17,2,10,1,17,1,9,1,10,1,8,1,13,1,8,1,13,1,6,1,17,1,11,1,17,3,8,1,6,2,13,1,6,3,7,1,8,1,28,36,30,1,8,2,11,1,9,1,8,1,6,1,29,1,6,1,30,1,29,2,9,1,17,7,11,1,9,1,11,1,13,1,29,1,7,1,13,1,29,1,6,2,30,1,6,1,30,1,6,1,8,1,13,1,9,1,8,1,9,1,17,1,12,1,16,1,11,1,17,2,30,1,28,16,30,2,28,1,30,3,6,2,29,1,6,2,30,1,13,1,30,1,28,1,30,2,6,2,30,1,28,1,30,2,28,1,29,1,30,2,29,1,6,2,9,2,10,1,9,1,10,1,8,1,9,4,11,1,9,2,16,1,9,2,11,1,10,1,11,1,9,3,11,1,9,1,11,1,9,1,16,1,9,3,10,1,9,3,11,1,9,1,11,1,10,1,9,1,11,1,9,2,12,2,17,1,10,1,12,1,17,1,10,1,12,1,16,1,10,2,11,1,17,1,11,1,9,1,11,2,17,2,16,1,9,1,12,1,10,1,17,6,16,1,17,13,16,2,17,1,11,2,17,1,16,1,11,2,9,2,11,1,9,1,11,1,17,2,10,1,11,1,6,1,30,1,29,2,6,9,7,1,6,2,7,1,13,1,6,1,30,1,7,1,6,1,13,1,6,1,7,1,13,1,6,2,13,3,9,1,8,1,7,1,28,1,30,3,28,1,30,2,29,1,30,2,28,4,30,1,29,1,30,2,28,2,30,1,28,1,29,1,28,1,30,2,28,2,30,2,28,1,30,2,6,3,29,1,6,2,7,1,6,1,13,2,9,1,11,1,17,10,12,2,17,8,12,3,17,3,11,1,9,2,10,2,9,2,10,1,9,2,13,3,8,2,13,4,7,1,8,1,9,1,13,1,9,1,11,1,9,1,8,2,9,1,13,2,6,1,13,1,29,2,30,1,6,1,29,1,30,1,29,1,6,1,7,3,13,2,8,1,6,1,13,3,7,1,13,2,9,1,13,1,6,1,13,2,30,1,29,2,6,3,28,1,30,2,28,3,30,3,28,14,30,1,28,1,30,1,28,1,30,3,29,1,30,2,7,1,6,2,7,1,8,1,7,1,13,1,8,1,10,1,8,1,12,1,8,1,24,2,8,3,24,1,9,1,24,1,13,1,8,1,13,1,9,1,8,1,9,2,8,1,24,1,9,1,12,1,10,1,9,1,17,1,10,2,9,1,12,4,10,1,17,1,10,1,12,1,11,1,8,1,9,1,8,1,10,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,10,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,9,1,8,3,13,2,6,1,13,1,29,2,6,3,29,1,6,2,13,1,29,1,30,1,6,3,30,1,7,1,6,2,30,1,6,1,29,1,6,1,30,1,6,1,29,1,30,4,6,1,29,1,7,1,30,2,6,1,7,1,6,1,28,1,30,3,7,1,29,1,6,3,30,1,6,1,29,1,30,1,6,2,29,2,30,2,6,1,13,1,30,2,6,1,29,1,30,1,29,2,30,2,6,2,30,1,6,2,29,1,6,2,30,1,6,1,13,1,6,1,7,1,6,1,29,1,13,1,6,3,13,1,7,1,6,2,30,1,6,2,30,1,13,1,6,1,7,1,13,1,7,1,13,1,8,1,6,2,29,1,28,1,29,1,30,1,28,3,29,1,28,3,30,2,29,2,27,1,29,2,28,1,29,1,27,2,25,1,24,1,25,1,24,9,25,1,8,1,25,1,8,1,24,1,8,1,7,1,13,2,9,1,11,1,9,2,10,1,13,1,30,5,6,1,29,1,30,3,6,3,13,1,6,2,30,2,6,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,29,1,30,3,29,1,28,1,6,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,6,2,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,5,28,2,30,1,28,3,30,2,6,1,30,2,6,1,30,2,28,2,30,3,28,4,29,1,6,2,30,1,7,1,13,6,11,1,9,2,13,2,8,1,13,1,6,2,30,2,29,1,30,2,6,2,30,1,7,1,6,1,13,1,9,1,13,1,29,1,28,1,30,2,28,1,30,1,29,1,30,1,29,1,28,2,30,3,28,1,6,1,30,2,29,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,28,1,30,5,28,1,30,1,28,1,30,1,28,1,29,1,30,3,6,1,30,1,9,1,30,1,28,1,30,2,28,3,30,1,28,5,30,2,28,1,30,1,28,12,30,1,28,1,30,2,28,3,30,2,28,3,30,1,28,11,6,1,30,1,28,4,30,1,28,4,30,1,28,4,30,1,28,7,30,1,28,1,30,1,6,1,30,1,28,1,6,1,28,9,30,1,28,3,30,5,28,2,30,1,28,2,30,1,28,1,30,1,29,1,6,1,30,1,13,1,6,1,30,1,6,1,28,1,6,2,13,1,6,4,7,1,30,1,7,1,30,1,29,1,6,1,30,1,6,1,29,2,6,2,13,1,7,1,6,1,7,1,6,1,13,1,30,1,6,2,30,3,28,1,30,1,6,1,30,1,28,1,29,1,30,6,28,1,29,1,30,1,6,1,30,4,29,1,28,1,7,1,11,1,30,2,28,1,30,2,28,3,30,5,28,1,30,1,6,3,30,1,28,1,6,1,28,1,6,1,28,1,30,2,28,1,13,1,6,1,28,1,30,2,6,1,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,4,28,3,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,2,30,2,28,3,6,1,13,1,28,3,30,1,28,4,30,1,28,4,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,7,30,1,28,3,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,62,30,1,17,1,28,1,30,1,28,1,30,1,28,11,13,2,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,6,30,1,28,3,6,1,28,14,30,1,28,1,30,2,28,1,30,3,28,4,30,2,28,2,30,1,28,2,30,2,28,3,30,2,28,11,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,6,30,1,28,1,30,1,28,3,30,1,28,4,30,2,28,1,30,2,28,2,30,1,28,3,30,1,28,2,30,4,28,3,30,1,28,4,30,1,28,3,30,1,28,1,30,4,28,4,30,2,6,1,30,3,28,9,30,1,28,2,30,1,6,1,16,1,17,30,12,1,17,10,12,1,17,2,11,5,17,1,11,1,17,4,12,1,11,1,17,3,24,1,30,2,27,1,26,1,28,18,13,7,7,1,13,1,8,1,13,1,9,2,10,1,9,2,11,1,13,2,9,2,12,1,11,1,9,1,17,1,9,1,10,1,9,1,7,2,9,1,8,1,10,1,17,5,11,3,9,1,11,4,9,1,17,1,12,1,17,2,11,1,17,1,11,3,17,1,10,1,11,3,10,1,9,1,12,1,9,1,13,1,6,1,28,4,30,1,28,2,30,2,28,1,30,4,28,2,30,2,28,3,30,1,29,1,6,1,28,1,30,2,28,2,11,1,30,1,28,4,30,1,28,2,30,1,28,1,6,1,28,1,6,1,28,6,30,1,28,7,30,1,28,1,29,1,30,3,6,3,13,1,8,1,13,1,8,2,9,2,11,1,9,1,16,2,17,1,12,1,17,1,10,1,12,1,10,1,11,2,17,3,13,2,29,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,3,6,1,30,1,28,32,30,1,28,4,30,2,28,6,30,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,30,2,28,1,29,1,30,1,29,1,6,1,29,1,6,1,7,1,6,1,28,1,6,7,7,1,6,1,30,1,6,1,29,1,7,1,28,1,7,1,6,2,13,1,30,7,29,1,28,1,6,1,7,1,29,1,30,5,28,1,30,3,29,1,28,1,6,1,30,1,6,1,28,3,30,6,28,2,30,1,28,1,30,1,28,2,29,1,28,4,30,3,29,2,30,1,29,1,6,1,28,1,7,1,29,1,6,1,30,1,29,2,28,1,30,2,6,1,29,1,6,1,30,1,29,1,6,3,7,1,6,1,13,1,6,1,7,1,13,3,8,1,13,2,9,1,13,2,8,1,6,1,8,1,13,1,7,1,13,1,7,1,13,2,8,1,13,6,8,1,13,1,7,1,6,1,7,1,13,3,9,1,10,1,8,1,9,2,11,1,17,5,11,1,10,1,9,1,10,1,9,1,11,1,8,3,9,3,10,1,9,1,10,4,17,3,16,1,12,1,11,2,17,8,11,1,8,1,13,1,30,1,6,1,29,1,6,1,13,1,7,1,6,1,30,1,13,1,30,1,6,1,30,2,28,1,30,3,6,2,30,1,6,4,30,1,29,1,6,1,29,1,6,2,29,1,30,1,29,1,30,1,29,1,28,1,30,1,28,1,29,1,28,3,29,1,30,1,6,1,30,3,6,5,30,1,6,1,13,2,30,1,6,1,30,1,6,4,30,1,28,1,29,1,6,1,30,1,29,1,28,1,6,1,29,1,28,1,6,4,29,1,30,1,6,1,29,2,6,1,29,1,30,1,6,1,7,1,29,2,13,1,6,1,29,1,6,1,30,1,6,2,29,1,30,1,6,2,29,1,13,1,29,1,30,1,6,3,13,1,30,1,6,1,13,2,6,1,30,1,6,2,13,1,6,1,29,1,13,1,6,1,13,1,29,1,13,1,8,1,7,2,13,1,6,1,13,1,7,1,13,2,8,1,13,2,6,1,13,17,7,1,13,6,6,1,7,1,30,1,6,1,30,2,6,2,13,1,6,1,7,1,6,1,7,1,6,4,13,1,6,1,13,1,6,1,30,1,6,2,29,1,6,1,7,1,6,1,7,3,8,1,13,4,9,2,13,1,9,1,11,1,9,1,10,1,11,1,10,1,9,2,11,2,9,1,11,4,16,2,17,2,10,1,11,1,9,5,11,1,9,1,11,2,17,9,9,1,16,1,8,1,30,1,28,14,6,1,17,2,16,1,9,1,8,1,6,2,8,1,7,1,6,2,30,1,28,10,6,1,7,1,13,1,9,2,10,1,8,1,17,2,11,1,30,1,28,5,6,1,9,2,6,1,30,1,28,40,30,1,6,2,28,3,9,1,17,2,13,3,8,2,7,1,13,1,8,2,17,2,16,1,6,1,28,6,7,1,30,1,28,16,}, {17,1,16,1,9,1,13,2,30,2,28,4,30,1,8,1,16,1,28,44,30,1,28,5,30,2,13,1,17,1,12,2,10,1,13,1,6,1,30,3,13,1,10,1,8,1,13,3,6,1,8,1,9,2,8,1,17,4,12,1,9,1,10,1,9,1,7,1,6,1,28,2,30,1,13,3,6,1,13,1,29,1,8,1,7,1,24,1,17,3,11,1,9,1,12,1,13,2,9,1,8,1,13,1,9,1,17,3,11,1,30,1,29,1,13,2,29,1,13,4,28,36,6,1,8,1,24,1,12,1,11,1,8,1,13,1,6,1,28,2,30,1,28,1,13,1,12,1,17,5,16,1,11,1,12,1,9,1,7,1,6,2,13,1,6,2,30,3,6,1,24,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,11,1,9,1,17,1,13,1,28,15,30,1,6,1,30,1,6,2,30,1,28,1,30,1,6,3,29,2,30,2,29,2,30,3,29,1,30,2,6,1,30,1,28,2,29,1,30,2,6,1,8,1,11,1,8,1,9,3,16,1,8,1,9,1,13,1,10,1,9,1,10,2,11,1,16,1,10,1,11,1,16,1,9,1,11,1,9,1,10,1,16,1,9,1,16,1,11,2,16,1,9,1,12,1,9,1,17,1,11,1,12,1,8,1,9,2,11,1,9,4,12,1,11,3,10,1,11,2,9,1,10,1,9,3,11,1,16,1,11,1,9,1,10,1,9,1,10,2,9,2,10,1,16,2,12,1,17,3,12,1,17,6,16,1,17,1,12,1,17,3,16,1,17,2,16,1,17,3,11,2,10,1,8,1,9,1,11,1,17,1,16,1,17,1,11,1,9,1,6,1,30,5,6,3,29,1,13,1,6,2,30,1,6,4,29,1,6,1,29,1,6,1,13,1,30,1,13,2,6,1,13,1,6,1,13,5,28,1,30,2,28,1,30,1,28,3,30,1,28,1,30,6,28,1,30,4,6,1,29,1,28,1,30,4,28,1,30,1,28,1,30,3,6,1,29,1,6,5,13,1,8,1,17,12,11,1,17,4,12,1,17,3,12,1,17,1,9,1,11,1,12,2,11,1,10,1,9,3,8,1,10,1,9,1,8,2,13,1,8,1,9,1,13,5,6,3,8,1,13,2,9,1,13,1,9,1,8,2,13,1,9,1,13,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,13,1,7,1,13,4,7,2,13,1,8,4,9,2,13,2,6,3,29,3,28,1,6,1,30,1,28,5,30,1,28,1,30,1,28,13,30,1,28,1,30,1,28,4,30,2,28,1,30,1,29,1,13,1,6,2,7,1,13,2,24,1,12,1,9,1,10,1,8,1,24,1,8,3,24,2,8,1,24,1,8,1,24,1,8,1,24,1,8,1,24,1,13,1,8,2,10,1,9,1,10,1,9,1,10,1,17,1,10,1,12,1,17,1,11,3,10,2,8,1,9,1,12,1,9,2,13,1,9,1,8,1,9,2,8,1,13,1,8,2,13,1,8,1,13,1,8,2,13,1,8,1,13,1,9,1,8,1,9,2,13,1,8,1,9,1,13,6,6,1,7,1,6,2,30,1,13,1,30,1,6,1,13,1,6,1,28,1,6,1,30,1,29,1,7,1,6,1,29,1,6,2,30,1,28,1,29,1,30,2,6,1,29,1,6,1,30,1,6,1,30,3,6,2,29,1,28,1,29,1,30,2,6,1,30,2,29,1,6,1,30,1,29,1,6,2,28,1,6,2,29,1,30,1,7,1,30,1,6,2,13,1,6,1,29,2,30,2,6,1,30,1,6,2,28,1,6,2,30,1,6,3,7,1,30,1,6,2,29,1,30,1,6,2,29,1,6,1,7,1,29,1,7,1,6,2,29,1,6,1,30,1,6,1,7,1,6,1,13,1,6,1,13,1,7,1,30,1,29,1,6,2,29,1,30,2,28,8,29,1,30,1,27,1,29,3,27,1,29,1,27,1,30,1,27,1,25,1,24,4,25,1,24,7,26,1,24,3,13,1,6,1,13,2,9,1,11,1,8,1,11,1,9,1,30,1,6,1,28,2,30,2,6,1,30,2,29,1,6,1,8,1,6,1,29,1,6,1,7,1,30,2,28,1,30,1,29,1,28,2,30,2,28,3,30,2,28,2,30,3,28,5,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,4,30,3,28,3,30,1,29,1,30,1,28,2,30,2,28,1,30,4,28,1,30,2,28,2,13,1,7,1,6,2,30,4,6,1,28,1,30,1,29,1,13,1,6,2,13,1,9,1,13,6,8,1,9,2,13,1,7,1,30,2,28,3,30,2,6,1,30,1,6,1,30,3,28,1,30,5,6,2,28,1,30,5,29,1,30,5,28,1,30,2,28,1,30,1,28,2,29,1,30,4,7,1,13,1,6,2,28,1,30,1,28,1,30,1,28,8,30,2,28,9,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,4,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,7,30,1,28,3,30,1,28,2,30,1,28,1,30,1,13,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,2,28,5,30,1,28,1,30,2,28,1,30,1,28,1,6,1,13,1,30,3,6,1,30,1,28,1,6,2,30,7,6,2,13,1,7,1,6,4,30,2,7,1,6,1,29,1,13,2,30,2,28,1,6,1,30,2,6,1,30,1,29,1,30,2,6,1,30,3,28,1,30,2,6,1,30,1,29,1,30,1,6,1,30,1,29,1,30,2,29,1,6,1,30,1,13,1,16,1,30,3,28,2,30,1,28,3,30,3,28,1,30,2,28,1,6,2,28,1,30,1,28,1,30,1,28,1,30,4,13,1,30,1,28,5,30,1,28,1,30,2,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,3,28,2,6,1,28,1,30,1,29,1,28,2,6,1,30,1,28,2,30,2,28,2,30,1,28,8,30,1,28,2,30,1,28,1,13,1,6,1,28,1,30,2,28,2,30,1,28,4,30,2,28,1,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,13,30,3,28,1,30,1,28,49,30,1,28,19,10,1,9,1,28,9,30,1,28,1,29,1,6,1,30,2,6,1,28,6,29,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,2,28,2,30,1,28,5,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,8,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,11,30,1,28,1,30,1,28,13,30,1,28,3,30,1,28,10,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,20,30,1,6,1,30,5,28,1,6,1,30,1,28,5,30,1,28,5,13,1,10,1,16,1,17,42,11,2,10,1,17,1,11,2,17,7,11,1,17,1,10,1,15,1,7,1,29,1,27,1,26,1,29,1,28,2,30,1,28,14,13,4,8,1,13,1,7,1,6,2,13,2,8,1,9,1,11,1,10,1,11,1,12,1,11,1,13,1,8,1,9,3,11,2,17,1,9,1,10,1,9,2,10,1,9,2,17,4,11,3,10,1,11,1,12,1,11,3,10,1,11,2,17,1,11,1,17,1,11,1,12,1,17,1,11,4,10,1,17,1,11,1,17,1,10,1,17,1,9,1,8,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,10,28,1,30,7,28,1,29,1,30,1,28,1,13,1,28,7,30,1,28,2,30,2,28,17,30,3,6,1,30,1,13,2,7,1,13,2,8,1,13,1,8,1,9,3,11,1,10,1,12,1,11,1,17,1,11,1,10,1,9,2,11,1,17,3,8,1,7,1,30,1,6,1,30,2,28,1,30,1,28,2,30,3,28,1,30,2,28,1,6,1,28,26,30,1,28,4,30,1,28,2,30,1,28,5,30,1,28,1,29,1,30,1,6,1,30,1,28,4,30,1,28,3,30,3,6,1,30,3,29,1,6,6,13,1,6,1,30,1,7,1,6,1,13,1,30,3,13,1,30,1,6,3,29,1,30,1,6,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,29,1,6,1,29,1,30,6,28,1,30,7,29,1,30,3,28,3,30,2,28,1,29,1,30,1,28,3,30,1,28,3,30,1,6,1,28,1,30,10,28,1,6,3,30,1,29,1,6,2,30,1,6,3,7,1,30,1,6,2,7,1,13,1,30,1,13,7,6,1,8,1,13,4,8,1,6,1,13,2,8,1,7,1,9,1,13,5,8,1,13,6,8,1,13,3,8,1,11,1,9,1,11,1,12,1,17,7,8,1,9,1,8,1,9,2,8,1,9,1,8,1,13,2,9,1,10,1,8,1,11,1,10,2,11,1,12,1,17,2,12,1,11,1,17,1,12,1,17,7,9,1,13,1,6,2,30,1,6,1,30,2,6,1,7,2,13,1,29,2,6,1,28,1,13,1,29,1,6,1,30,2,29,1,30,2,6,6,30,2,6,1,30,2,6,2,30,1,28,1,30,12,6,2,30,1,6,2,7,1,30,2,6,1,29,1,7,1,6,2,29,2,30,1,6,3,30,3,6,1,28,1,6,1,29,1,6,1,30,2,29,1,30,1,6,1,28,1,6,2,30,1,29,1,6,3,13,3,7,1,6,2,30,1,29,1,7,1,30,1,6,1,29,1,6,1,13,1,30,1,6,6,13,1,7,2,30,1,6,1,13,2,7,1,13,1,6,2,7,1,13,1,6,2,13,5,7,1,13,9,6,1,13,3,7,1,13,1,8,1,13,1,8,1,13,2,7,2,8,1,13,3,7,2,13,1,6,1,13,1,6,1,7,2,6,4,13,1,6,2,30,1,6,2,30,1,6,5,13,3,6,1,30,1,6,1,29,1,6,1,29,1,6,4,7,1,13,4,8,5,9,1,8,1,9,1,10,2,9,1,11,1,8,1,11,1,10,1,11,1,9,1,11,3,9,1,11,1,17,1,11,2,16,2,11,1,16,1,17,1,11,1,17,1,9,1,12,2,11,1,17,1,10,1,17,1,16,1,17,4,9,1,28,15,13,1,17,2,10,1,9,1,13,1,6,1,8,1,13,2,30,1,28,1,6,1,28,5,30,1,28,3,30,2,6,1,13,1,8,3,11,1,17,2,9,1,30,1,28,5,30,1,9,2,28,43,7,1,30,1,28,3,11,1,17,2,9,1,29,2,8,1,24,1,8,1,13,1,9,1,8,1,16,1,17,2,28,6,13,2,29,1,28,16,}, {17,2,10,1,8,2,29,1,28,1,6,1,28,4,8,1,9,1,30,1,28,30,30,1,28,19,30,2,13,1,11,1,12,2,7,1,13,1,7,1,28,1,6,1,24,1,9,1,24,1,13,1,29,1,13,1,6,1,8,3,17,6,10,1,11,1,9,1,6,1,7,1,28,1,6,1,30,1,24,1,9,2,6,1,7,1,6,1,29,1,28,1,11,1,17,4,11,1,13,3,6,1,13,1,8,1,13,1,9,1,17,2,16,1,6,1,8,2,13,1,8,1,13,1,8,1,24,1,6,1,28,37,7,1,9,1,11,1,12,1,8,1,6,1,29,1,30,1,28,1,30,2,29,1,17,7,16,1,9,1,13,1,8,1,13,2,28,1,6,1,13,1,30,1,7,1,28,1,7,1,13,1,9,1,8,2,9,1,24,1,13,1,9,2,8,1,9,1,17,1,13,1,28,15,30,2,28,1,30,1,6,2,29,1,6,6,30,1,6,1,30,3,29,1,30,3,28,2,6,2,30,2,29,1,30,1,6,1,13,1,8,1,9,3,8,1,9,4,11,1,9,2,11,1,9,1,17,1,11,2,16,1,11,3,16,1,9,5,8,1,11,1,9,3,10,1,9,1,11,2,9,4,11,1,10,1,16,1,17,1,11,2,9,1,10,1,9,2,11,1,9,2,8,1,9,1,11,1,16,2,12,1,11,1,16,1,11,1,9,1,11,1,10,1,16,2,17,1,16,1,17,7,16,1,17,2,16,1,17,3,16,1,17,7,16,1,11,2,12,1,11,1,12,1,11,1,17,1,11,1,16,1,8,1,13,1,30,2,29,1,30,1,29,1,30,2,13,1,6,1,30,2,6,1,30,1,6,5,13,1,30,1,13,1,6,1,13,3,6,1,8,1,13,3,8,1,9,1,13,1,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,2,30,4,28,1,30,2,28,1,30,1,6,4,7,1,6,1,7,1,13,1,11,1,17,22,12,1,10,1,17,1,11,1,12,1,9,1,11,1,24,1,10,1,9,3,8,1,9,1,8,2,7,1,24,1,13,1,6,1,13,3,6,1,13,1,7,1,13,1,9,1,13,1,7,1,13,3,8,1,13,2,8,2,6,1,30,1,6,2,30,3,7,1,6,2,13,5,24,1,6,1,7,1,13,1,8,1,13,1,9,2,13,1,8,1,13,1,29,1,7,1,30,2,6,1,30,3,28,1,30,3,28,21,30,2,28,1,30,2,29,1,30,1,6,1,30,1,6,2,13,2,6,1,13,1,9,1,10,3,9,1,24,1,7,1,10,1,13,1,24,2,8,2,24,1,8,1,13,1,9,2,8,2,24,2,11,1,9,1,24,2,10,1,9,1,11,2,9,1,17,1,12,2,11,1,9,1,12,1,11,1,9,2,13,1,9,1,13,1,9,1,8,2,24,1,9,1,13,1,9,1,8,1,13,2,9,1,13,1,9,1,8,1,13,1,24,1,8,1,9,1,13,1,8,1,13,1,9,1,8,1,13,1,8,2,24,1,9,1,13,2,7,1,6,2,13,1,30,1,6,1,13,1,6,4,7,1,29,2,6,1,29,1,6,1,30,1,7,1,30,1,6,1,30,2,6,2,29,1,30,1,7,1,6,1,7,1,6,4,29,1,6,1,28,1,30,2,6,1,28,1,6,2,30,2,6,4,30,1,6,1,30,1,29,1,6,6,30,1,29,3,28,1,13,1,6,1,30,1,29,1,6,1,30,1,7,1,29,1,7,1,30,1,13,1,6,1,29,1,30,1,7,1,13,1,29,1,6,3,29,2,6,1,30,1,13,2,30,2,13,1,30,1,13,2,28,2,6,1,13,1,6,1,25,1,29,1,27,1,28,2,30,5,29,1,27,1,29,1,27,1,29,1,27,1,26,1,29,1,27,2,26,1,25,2,24,2,8,1,24,1,25,1,24,1,8,1,24,3,8,1,24,1,26,1,25,1,24,1,8,1,7,1,13,2,8,1,13,1,11,1,9,2,13,2,30,3,28,1,30,1,6,1,28,1,30,1,6,1,28,1,8,1,6,4,29,1,7,1,29,1,30,6,28,2,30,6,28,2,30,2,29,1,28,1,30,2,28,3,30,1,28,1,30,2,29,2,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,6,1,28,1,30,3,28,3,30,1,28,2,30,1,29,1,30,2,6,1,30,4,28,2,30,2,28,2,30,1,13,1,7,2,6,1,30,2,29,1,30,1,28,1,30,4,28,2,30,1,28,1,6,1,28,1,6,1,13,6,6,1,30,5,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,2,28,1,29,1,30,1,28,1,30,3,6,1,28,1,6,1,30,2,28,1,29,2,30,2,29,1,30,3,28,1,6,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,13,2,6,1,30,3,28,2,30,1,28,1,30,2,28,3,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,4,30,1,29,1,28,1,30,2,28,2,30,1,28,7,30,1,28,1,30,1,28,1,30,4,28,3,6,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,3,30,1,13,1,28,2,30,2,28,6,30,1,28,2,30,1,28,4,30,3,28,1,29,1,30,5,6,2,30,3,6,1,29,1,6,3,30,2,6,4,29,2,30,1,6,5,13,1,28,1,6,2,13,1,6,3,30,1,6,1,30,8,6,1,30,7,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,2,6,1,30,2,11,1,30,1,28,4,30,1,28,3,30,1,28,1,30,2,28,3,13,1,30,3,29,1,30,1,28,2,30,2,28,1,13,1,28,2,30,1,6,1,30,2,6,1,28,3,30,2,28,1,30,3,28,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,1,30,1,28,4,16,1,28,5,30,2,28,5,30,1,28,1,30,2,28,12,30,1,28,4,30,3,28,10,30,1,28,18,30,1,28,11,30,1,28,18,30,1,28,2,30,1,28,16,13,1,9,1,28,11,30,1,6,1,30,1,28,11,30,1,28,3,30,1,28,9,30,1,28,12,30,1,28,6,30,1,28,5,30,1,28,2,30,1,28,4,30,2,28,25,30,3,28,19,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,8,30,1,28,8,30,1,28,1,30,3,28,2,30,1,6,1,28,3,30,4,28,2,30,2,28,2,30,1,28,1,30,1,28,1,6,2,9,1,16,1,17,39,11,1,17,4,12,1,17,1,11,1,17,2,11,1,17,1,11,1,17,2,12,1,17,1,9,1,11,1,24,1,6,1,27,1,29,1,27,1,28,3,30,1,28,13,6,1,13,4,7,1,6,1,13,1,6,1,13,2,9,1,11,2,10,1,9,1,10,1,11,1,8,1,13,1,9,1,10,1,9,1,11,1,9,1,17,1,11,2,8,3,9,1,8,1,11,1,17,1,16,1,17,2,9,2,11,2,16,1,12,1,11,1,9,3,17,3,11,1,17,2,11,1,17,3,10,1,11,1,9,1,11,2,12,1,11,1,17,1,11,1,9,1,30,2,28,2,30,5,28,1,30,3,6,1,28,2,30,2,28,1,29,1,30,1,28,2,6,1,30,3,28,1,6,1,30,1,28,3,30,3,28,1,30,1,28,1,30,4,28,1,30,2,28,1,30,1,28,10,30,1,6,1,28,1,6,4,7,1,13,2,7,1,13,2,9,1,10,1,9,2,11,1,16,1,11,1,17,1,12,2,16,1,11,1,9,1,11,1,17,3,6,2,30,4,28,1,30,1,28,1,30,3,28,1,30,1,28,1,29,1,7,1,28,25,30,1,28,18,30,5,28,3,6,1,30,1,28,1,30,1,28,1,30,1,29,1,30,2,29,1,6,1,30,1,6,6,13,1,29,1,30,1,6,2,7,1,30,1,6,2,30,1,7,1,6,1,7,1,13,1,30,2,6,1,30,2,6,1,28,1,30,2,29,1,6,1,28,1,30,3,6,1,28,1,30,1,6,1,30,1,29,1,6,1,30,3,29,1,30,7,28,1,30,1,28,2,29,1,30,3,28,1,29,1,30,1,28,1,30,1,29,1,28,1,30,2,28,1,6,2,28,1,29,1,30,4,7,1,6,2,30,2,6,1,30,4,6,1,13,1,30,1,13,3,7,3,13,6,8,2,13,1,6,1,13,3,8,1,13,2,8,1,13,2,7,1,8,1,29,1,13,3,8,1,13,3,8,1,13,1,6,1,9,1,11,1,9,4,17,7,11,1,9,3,12,1,9,2,13,1,9,1,13,1,7,1,8,1,9,2,8,1,9,1,11,3,17,1,12,1,11,1,16,1,11,2,17,7,13,1,28,1,6,1,30,2,6,1,30,2,6,2,13,2,29,1,6,1,30,2,6,4,30,1,6,1,7,1,29,1,6,1,30,1,6,3,29,3,30,1,6,2,30,1,28,1,6,1,30,1,6,1,29,1,30,1,28,1,30,1,29,1,30,3,6,3,30,1,6,1,29,1,6,1,28,1,6,1,30,1,6,3,30,1,6,1,30,1,29,1,30,1,6,2,30,2,6,1,28,1,29,1,30,1,29,1,6,1,30,1,6,2,29,1,30,1,7,1,6,1,30,3,6,6,13,1,6,2,29,1,6,1,29,2,30,2,6,6,30,1,7,1,13,1,7,2,13,1,6,2,13,2,6,1,7,1,29,1,13,2,7,1,13,4,30,1,13,1,30,1,13,3,6,2,13,1,6,1,9,1,13,2,30,1,8,1,13,5,7,2,8,1,6,2,13,3,8,1,13,3,6,1,13,3,7,3,6,2,30,1,6,2,13,1,6,6,7,1,6,1,29,1,13,1,6,1,29,1,13,1,6,1,29,1,6,1,29,1,30,4,6,1,30,1,6,3,29,2,13,3,8,1,13,1,9,4,8,1,9,1,10,1,9,1,8,1,16,1,9,3,11,2,9,1,11,2,9,1,11,1,10,1,11,1,10,1,11,1,9,1,11,3,16,1,11,1,12,1,17,1,10,2,9,1,11,1,17,4,13,1,28,15,13,1,17,2,11,1,13,2,6,1,13,1,8,1,28,1,30,3,28,10,30,1,29,1,13,1,9,2,11,1,13,1,17,2,11,1,28,6,13,1,24,1,9,1,28,42,29,1,13,1,28,2,30,1,28,1,9,1,17,2,8,1,29,1,13,2,7,1,13,3,9,2,17,1,11,1,28,7,8,1,6,1,28,16,}, {14,2,11,1,13,2,6,1,30,1,29,1,6,1,28,1,30,1,28,1,10,1,24,1,28,51,30,1,6,1,24,1,17,2,9,1,7,3,29,1,13,1,8,1,13,1,29,1,8,1,13,1,7,1,13,1,7,1,8,1,9,2,17,5,12,1,9,2,6,1,29,1,28,1,6,1,29,1,9,2,13,2,7,1,6,1,13,2,9,1,17,3,12,1,10,1,24,2,13,2,24,1,13,1,8,2,16,1,17,1,11,1,13,1,6,1,7,1,6,1,8,1,9,2,11,1,8,1,28,36,29,1,7,1,24,1,13,1,11,1,16,1,30,1,6,1,28,2,30,1,28,1,30,1,9,1,17,5,10,1,9,2,24,1,7,1,8,1,13,1,9,1,13,1,29,1,28,1,29,1,7,1,28,1,8,1,9,2,8,1,13,2,8,1,9,2,11,1,16,1,17,1,30,1,28,15,30,1,28,1,30,4,6,2,29,1,13,1,30,1,7,1,29,1,7,1,13,1,30,1,28,1,6,1,30,2,28,2,29,1,30,5,6,1,30,1,6,1,13,1,11,2,9,2,11,2,9,5,11,2,16,3,11,1,16,1,11,1,10,1,9,2,16,1,9,1,10,1,9,1,11,1,16,1,11,1,12,1,10,1,12,1,16,1,11,1,8,1,13,1,10,1,9,2,11,1,9,2,10,1,8,1,9,1,10,1,9,3,8,1,9,5,13,1,9,3,8,1,9,4,10,1,12,1,10,3,11,1,17,1,10,1,12,1,16,1,11,1,17,1,11,1,16,1,17,2,11,1,17,10,16,1,17,3,11,1,16,1,11,1,17,2,11,2,6,1,29,1,30,5,29,1,6,6,29,1,6,1,30,2,6,1,29,1,6,2,13,1,6,3,29,1,7,1,6,1,13,3,8,1,13,1,29,1,28,2,30,1,28,2,30,4,29,1,30,2,28,1,30,4,28,1,30,5,28,1,30,3,28,1,30,2,28,1,30,1,29,1,6,1,7,1,6,1,13,1,6,2,13,1,10,1,17,22,12,1,10,1,12,1,9,1,10,2,9,1,11,1,9,2,8,1,24,1,9,2,13,1,8,1,24,1,13,1,7,2,13,2,6,1,7,1,13,1,6,1,13,4,24,1,13,1,6,1,13,3,7,2,6,1,13,2,30,1,6,1,7,1,6,2,30,1,7,1,6,1,7,2,6,1,8,1,13,5,6,1,13,1,8,1,9,1,13,1,7,2,30,1,29,1,30,3,28,1,30,3,28,4,30,2,28,17,30,2,28,1,6,1,28,1,29,1,30,1,28,1,6,1,30,1,6,1,7,2,6,1,24,1,8,2,9,2,17,1,8,1,13,1,24,1,9,1,24,1,8,1,24,1,13,2,24,2,8,1,24,2,13,1,24,2,9,1,24,1,9,2,12,2,11,1,17,1,11,2,9,1,17,1,12,1,10,1,17,1,9,7,13,1,8,2,13,1,8,1,9,1,13,2,9,1,13,1,9,1,13,1,8,1,24,2,8,1,9,1,8,1,13,1,9,3,8,1,9,2,13,2,8,1,7,1,13,1,7,2,6,1,7,2,13,1,6,4,7,1,6,1,7,1,6,1,30,1,6,2,28,1,30,1,29,2,6,1,29,1,30,1,7,1,30,1,6,1,30,1,28,1,6,1,30,1,29,1,6,1,29,3,13,1,6,2,30,1,6,1,30,2,7,1,6,1,30,3,6,3,29,1,6,2,29,1,7,1,29,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,29,1,7,1,28,1,29,1,6,2,7,1,6,4,7,1,13,1,28,1,7,1,29,1,13,1,30,1,29,1,7,1,6,5,13,1,7,1,30,1,28,2,13,1,7,1,25,1,29,1,27,1,30,2,28,3,29,2,30,1,29,1,27,1,29,1,25,1,29,1,30,1,27,1,29,2,27,1,26,1,25,2,24,1,8,1,25,1,24,2,8,1,24,3,25,1,24,2,8,1,24,2,8,1,13,4,9,1,12,1,9,1,11,2,13,1,6,1,28,1,30,3,29,1,30,4,13,1,6,1,7,1,6,5,30,1,29,1,30,1,28,2,30,3,28,4,30,1,28,9,30,1,28,1,30,1,28,1,30,1,28,1,30,5,28,1,30,1,28,3,30,1,28,2,30,4,28,1,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,28,2,30,2,28,1,30,1,6,2,28,1,30,1,28,1,6,1,28,2,30,1,28,4,6,2,30,3,28,1,30,1,28,3,6,1,30,4,28,1,30,2,28,2,30,3,28,1,30,8,28,1,6,1,30,3,29,1,28,2,30,5,28,3,30,2,28,6,30,1,28,1,6,1,30,1,29,1,30,1,6,1,9,1,6,1,13,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,9,30,1,28,1,30,1,28,6,30,4,28,10,30,2,28,3,30,2,28,5,30,3,28,1,30,1,28,2,30,3,28,1,30,1,28,5,30,2,13,1,28,1,30,2,28,1,30,2,28,2,30,2,28,2,30,3,28,1,30,2,6,1,28,3,30,2,28,1,6,1,30,1,29,1,6,1,30,3,28,1,30,1,6,4,30,3,6,1,13,2,30,1,6,8,30,1,6,2,13,1,6,2,30,1,6,2,29,1,30,1,6,1,30,1,6,1,28,1,30,3,6,2,30,1,28,1,30,4,28,1,30,3,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,16,1,6,1,28,2,6,1,28,1,30,1,28,1,30,1,28,2,30,4,28,2,6,2,30,9,6,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,2,30,2,28,1,30,1,28,1,30,3,28,1,30,3,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,2,30,4,6,2,13,1,6,2,30,1,13,1,6,1,28,1,30,1,28,2,17,1,28,5,6,1,30,1,28,5,30,2,28,1,30,1,28,8,30,1,28,5,30,1,6,1,28,2,30,2,28,1,30,4,28,1,6,1,30,1,28,25,30,1,28,14,30,1,28,32,9,1,28,11,7,1,28,20,30,1,28,6,30,1,28,2,30,1,28,10,30,1,28,1,30,1,28,49,30,1,28,9,30,1,28,1,30,1,28,18,30,2,28,12,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,3,30,1,28,4,30,1,28,5,30,1,28,3,13,1,8,1,17,40,11,1,17,2,12,1,17,11,12,1,9,1,10,1,6,1,29,1,28,1,27,1,28,1,30,1,28,1,30,1,28,13,30,1,8,1,7,1,13,3,7,1,13,1,30,1,7,1,13,1,9,1,10,1,9,1,11,1,9,1,11,1,10,1,9,1,13,2,9,3,10,1,11,3,9,3,10,1,8,1,9,1,17,4,11,5,16,1,11,1,16,1,9,1,11,1,10,1,12,1,11,1,17,1,11,1,17,1,11,1,17,5,12,1,11,1,17,1,11,1,17,1,12,1,11,2,9,1,6,1,30,1,28,2,30,2,28,1,30,8,28,1,6,1,30,3,28,1,6,1,30,1,28,1,30,2,28,1,30,1,13,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,2,28,3,30,1,28,4,30,1,28,2,30,1,28,3,7,1,30,2,28,1,6,1,7,1,6,1,7,2,13,1,8,1,13,2,9,1,10,1,16,1,9,1,10,1,11,1,12,1,11,1,12,2,10,1,9,1,11,1,17,3,9,1,7,1,29,1,30,3,28,1,30,1,28,1,30,5,28,1,6,1,13,1,28,27,30,2,28,1,30,1,28,9,30,2,28,2,29,1,28,4,30,1,28,2,30,1,28,3,30,4,6,1,30,3,13,1,6,1,29,1,30,1,6,1,7,2,6,2,13,1,29,2,6,1,29,1,30,1,6,2,30,2,6,1,30,3,6,1,30,2,6,2,30,1,6,2,30,1,29,2,30,1,6,1,28,1,30,2,28,2,29,1,6,2,28,1,6,1,30,5,28,3,30,2,29,1,6,3,29,1,30,1,6,1,30,2,7,1,28,1,29,1,30,1,29,1,30,1,28,1,29,1,30,1,29,1,30,2,6,1,29,2,13,1,30,1,6,1,30,3,6,4,7,1,13,2,6,1,7,1,13,1,6,1,13,2,8,1,13,1,8,1,13,2,8,1,9,1,8,1,13,1,8,3,13,1,6,1,8,1,9,1,13,2,6,1,13,2,6,1,13,1,7,2,13,1,9,1,13,2,8,1,9,3,11,2,17,2,11,1,17,5,8,1,9,3,13,1,24,1,9,1,8,1,9,1,11,1,13,3,8,1,13,1,8,1,9,2,12,1,11,1,17,1,12,1,17,2,11,1,17,1,11,1,17,5,16,1,30,1,7,1,6,1,30,2,28,1,30,3,28,1,13,2,6,4,30,1,6,1,30,1,6,3,30,2,6,3,13,1,6,3,7,1,29,1,6,1,29,1,6,1,30,1,29,1,30,1,29,1,28,1,30,1,29,1,30,3,28,1,6,1,30,3,29,1,6,2,30,1,28,1,6,2,29,1,6,1,30,1,6,4,29,1,7,1,29,2,6,2,29,1,6,2,28,1,6,3,29,2,30,1,6,1,29,1,6,2,13,1,7,1,6,1,13,1,6,1,30,1,7,1,6,1,29,1,6,3,28,1,6,2,13,1,30,1,7,2,6,3,13,1,6,1,7,2,29,1,6,1,13,1,6,3,13,1,6,1,13,1,6,2,13,3,6,2,13,5,6,1,13,4,9,1,6,1,13,1,9,1,7,1,13,1,6,1,13,3,8,1,13,13,6,1,7,1,6,1,7,1,6,1,29,1,13,1,6,3,7,1,6,1,13,1,6,2,30,1,6,2,28,1,7,3,13,1,6,1,30,1,29,1,28,2,30,4,28,2,30,4,6,1,7,1,6,2,13,6,9,2,8,2,9,1,8,1,9,1,11,1,9,2,11,1,10,1,9,1,10,1,9,1,10,1,9,3,10,1,9,1,16,1,11,2,16,1,11,2,17,1,9,1,11,1,9,1,17,1,11,3,17,1,7,1,28,15,13,1,17,1,16,1,9,2,24,1,7,3,30,1,7,1,30,1,28,10,30,1,28,1,29,1,8,1,9,4,17,2,9,1,28,5,30,1,13,3,28,42,6,1,29,1,28,4,9,1,17,1,11,1,8,1,28,1,6,1,8,1,13,1,8,1,13,1,9,1,16,1,12,1,17,1,10,1,28,6,30,1,13,1,6,1,28,16,}, {16,2,12,1,7,2,6,1,30,2,28,1,29,1,28,2,12,1,15,1,28,51,29,1,30,1,8,2,10,1,13,1,8,1,13,2,6,1,30,1,9,2,8,1,7,1,6,1,29,1,6,1,8,2,24,1,12,1,17,5,12,2,9,1,6,1,30,3,28,1,24,2,8,1,6,3,30,1,6,1,13,1,12,1,17,2,12,1,11,1,8,1,11,1,13,1,7,1,13,1,9,3,17,3,13,4,7,1,13,1,6,1,7,1,9,1,28,37,13,1,9,3,10,1,13,1,28,1,29,1,28,1,30,1,28,1,30,1,11,1,17,5,16,1,11,1,8,1,6,2,7,1,13,3,6,1,28,2,30,1,6,1,13,1,24,2,8,1,13,3,9,2,16,1,17,2,9,1,28,16,30,3,6,1,30,1,6,2,30,1,13,1,29,1,6,1,13,2,6,2,30,1,6,1,30,2,29,2,6,1,30,2,29,1,30,1,6,1,30,1,7,1,6,1,8,1,9,1,11,1,9,1,11,8,16,1,11,5,16,1,11,1,17,1,16,1,11,2,16,2,9,3,12,1,9,2,8,2,13,1,9,2,13,1,9,1,13,1,8,1,13,1,8,2,9,1,13,1,8,1,13,1,8,2,13,1,8,2,9,1,13,3,9,2,8,3,13,1,9,5,10,1,9,3,8,1,9,1,11,1,9,2,16,1,11,1,16,1,11,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,11,2,17,1,11,1,17,2,12,1,16,1,17,1,11,1,16,1,17,1,16,1,13,2,30,2,29,2,30,3,6,2,30,4,6,1,29,1,6,10,13,1,6,1,13,1,29,1,8,3,7,1,30,2,28,1,30,1,29,1,6,1,30,4,28,1,30,1,28,1,30,3,28,1,30,4,29,1,30,1,29,2,30,1,28,3,30,4,29,1,30,1,6,2,13,3,9,1,17,22,12,1,17,1,11,1,17,1,9,1,10,2,9,1,24,1,8,1,9,1,11,1,8,3,24,1,8,1,13,1,8,1,13,4,6,2,7,1,6,2,8,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,7,1,8,1,13,3,29,1,13,1,7,1,28,1,29,2,6,2,13,1,8,2,13,4,8,1,13,3,8,1,13,3,6,3,30,2,29,2,30,4,28,2,30,1,28,17,30,1,28,4,30,2,28,2,30,1,29,1,30,1,6,1,29,1,13,1,6,2,7,2,24,1,9,1,10,1,17,1,24,2,8,1,7,1,13,1,8,1,9,1,24,1,9,1,8,1,9,1,24,1,9,2,8,2,24,1,10,1,8,1,10,1,24,1,9,1,11,1,10,1,9,1,12,3,17,1,12,1,10,2,9,1,8,1,10,1,13,3,9,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,9,1,8,1,13,1,10,1,8,1,13,1,8,1,9,1,8,3,9,1,13,1,9,1,8,1,13,1,8,1,9,1,8,2,13,1,8,1,13,2,6,1,13,5,6,2,30,1,6,2,29,1,6,1,29,2,30,1,7,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,30,1,6,1,30,1,6,3,29,2,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,2,13,1,30,1,6,1,30,1,6,1,7,1,30,1,6,1,30,1,29,1,7,1,6,1,28,1,30,1,6,1,29,2,30,1,7,1,29,1,6,1,29,2,6,2,7,1,6,3,29,1,7,1,13,1,6,1,7,1,6,1,7,1,6,3,29,1,7,2,13,1,29,1,13,1,7,2,13,1,28,3,30,1,6,1,8,1,27,2,29,2,30,2,28,1,29,1,30,2,27,4,29,2,26,1,27,1,29,2,26,1,29,1,26,1,8,1,24,1,8,2,24,7,25,3,24,1,8,3,13,1,7,1,8,1,9,1,10,1,17,1,9,2,13,1,6,1,28,1,30,2,28,1,6,7,7,1,6,1,29,1,13,1,6,1,29,1,30,3,28,2,30,1,28,1,29,1,28,1,6,1,28,2,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,5,28,1,30,2,28,2,30,1,28,1,30,5,28,2,30,1,28,1,30,3,28,2,6,2,30,1,28,2,30,4,28,2,30,1,28,4,30,1,28,3,30,2,6,1,28,1,30,3,28,2,6,1,30,1,28,3,30,1,28,1,30,2,6,1,28,3,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,5,28,1,30,5,28,2,30,1,28,1,30,10,28,1,17,1,13,1,30,1,29,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,5,30,1,28,1,30,1,28,21,30,1,28,2,30,1,28,4,30,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,6,7,1,30,9,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,7,6,3,7,1,6,1,30,1,6,3,30,1,6,2,13,1,30,1,13,1,29,1,30,1,6,4,30,1,6,3,28,1,6,2,30,1,6,1,28,1,6,2,30,2,6,3,30,1,29,1,30,5,28,2,30,2,28,1,30,2,28,1,6,1,30,2,28,1,13,1,30,1,29,1,30,3,16,1,28,1,6,1,30,2,28,2,30,1,28,3,30,3,28,2,9,2,13,1,6,2,28,1,30,3,28,1,30,6,6,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,1,28,2,30,1,28,2,30,1,28,1,6,1,28,2,30,3,28,2,30,2,28,3,30,1,28,1,30,2,28,1,6,3,13,1,16,1,28,1,30,2,28,3,30,1,28,7,30,1,28,5,30,1,28,4,30,2,28,2,30,1,28,3,30,1,28,2,30,1,28,2,30,3,28,1,30,2,28,1,30,1,28,14,30,1,28,6,30,1,28,19,30,1,28,5,30,1,28,22,16,1,28,11,6,1,28,6,30,1,28,5,30,1,28,10,30,1,28,4,30,1,28,15,30,1,28,7,30,1,28,2,30,1,28,2,30,1,28,12,30,1,28,36,30,1,28,15,30,2,28,3,30,1,28,2,30,2,28,1,30,1,28,2,30,3,28,1,6,1,28,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,2,13,1,28,2,30,1,28,1,30,1,6,1,30,3,28,1,30,1,28,2,13,1,9,1,16,1,17,8,10,1,16,1,17,26,16,1,17,1,16,1,11,1,12,2,17,1,12,1,17,9,16,1,17,1,10,1,8,1,6,1,29,1,27,1,30,2,28,16,13,5,29,1,13,1,30,1,7,1,9,1,8,2,9,1,17,1,9,3,13,3,8,1,13,1,9,4,11,1,9,1,11,1,8,2,13,1,9,1,16,1,17,2,11,1,10,1,17,1,11,2,9,1,17,1,9,3,17,1,11,1,17,1,12,1,17,1,11,1,12,1,17,1,12,1,11,1,17,1,9,1,11,3,9,1,11,1,17,2,11,2,10,1,13,1,7,1,28,3,6,1,28,1,30,6,28,2,30,1,29,1,30,1,28,1,6,1,30,2,28,1,30,2,28,1,30,1,6,1,13,1,28,3,30,1,28,1,30,3,28,2,30,3,28,15,6,1,30,1,28,1,30,2,29,1,30,1,6,2,13,3,8,2,9,3,10,1,11,1,9,1,16,1,11,1,17,1,16,1,11,2,12,2,17,3,13,1,28,2,30,5,28,1,30,2,28,2,30,1,28,1,13,1,28,28,30,1,28,8,30,2,28,3,30,2,28,2,30,1,28,1,30,1,28,2,6,1,28,1,30,2,28,1,30,4,29,1,28,1,6,1,30,1,6,1,30,1,6,1,7,1,28,1,7,1,6,2,30,1,6,1,13,1,30,1,6,2,13,1,30,1,6,1,30,1,6,2,28,1,6,1,30,1,28,2,6,2,30,2,7,1,6,1,28,1,29,1,30,3,6,2,30,4,28,2,6,1,30,4,28,1,30,2,28,1,30,2,28,1,30,1,29,1,30,10,6,1,29,1,30,1,6,1,28,1,30,4,29,2,6,2,13,1,6,1,29,2,6,2,13,1,6,1,13,1,6,3,13,1,6,1,13,3,8,1,13,2,8,1,13,1,8,3,13,1,8,1,13,2,9,1,13,1,8,1,9,1,13,3,6,1,8,1,6,1,8,1,13,2,8,1,13,1,9,1,13,4,8,2,9,2,17,6,12,1,10,1,9,2,13,1,8,3,9,1,8,1,9,1,8,1,13,1,6,1,13,2,8,2,9,3,17,2,12,1,17,1,11,1,17,1,11,1,16,1,17,4,16,1,7,1,13,1,6,1,30,1,6,1,30,1,29,1,30,4,6,1,30,1,6,1,7,1,6,3,13,1,28,1,6,1,30,2,29,1,6,2,13,2,29,1,30,1,7,1,6,1,7,1,6,3,29,1,6,3,30,1,29,1,30,1,29,2,30,1,28,1,30,1,6,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,6,3,30,1,6,3,7,1,6,1,13,1,6,2,7,1,6,1,30,1,7,1,13,1,6,3,30,1,6,4,7,1,8,1,13,1,6,2,13,1,29,1,6,1,30,1,6,2,30,1,6,7,30,1,7,1,6,4,7,1,6,4,13,1,7,1,29,1,13,1,6,1,7,1,13,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,8,1,7,1,6,1,8,1,13,1,6,1,13,1,6,1,13,1,6,1,13,5,8,1,13,2,7,1,13,1,7,1,13,5,7,1,6,2,13,7,29,1,7,1,13,1,6,2,13,1,30,1,7,1,6,2,7,1,13,2,7,1,6,3,7,2,6,1,30,1,6,1,13,2,29,1,30,2,28,4,30,1,28,4,30,1,29,1,30,2,6,7,13,3,8,1,13,2,9,2,8,1,13,1,9,1,10,1,9,4,10,1,9,3,8,1,9,3,10,1,9,1,10,1,11,1,10,1,12,1,10,1,11,1,9,1,11,1,10,2,9,1,11,1,6,1,28,15,13,1,17,1,11,1,9,1,8,1,6,1,13,1,7,1,30,2,6,2,28,11,30,1,6,2,13,1,9,1,8,1,9,1,17,2,9,1,28,6,9,1,13,1,6,1,28,42,13,1,30,1,28,4,12,1,17,1,16,1,6,1,30,2,13,1,8,3,11,1,9,1,11,1,17,1,8,1,28,6,13,2,6,1,28,16,}, {17,1,16,1,11,1,8,1,7,1,6,2,28,5,10,1,8,1,30,1,28,50,30,1,6,1,8,1,24,1,17,1,9,1,7,1,6,1,29,2,28,1,9,1,8,2,13,1,6,1,13,1,7,1,6,1,13,1,12,1,11,4,17,2,16,1,9,2,7,1,30,1,6,2,30,1,13,1,8,1,13,2,30,1,7,3,8,1,17,4,9,1,13,1,10,1,9,1,8,1,13,1,10,2,17,4,8,1,7,2,29,1,24,1,6,1,13,2,9,1,28,36,30,1,7,1,13,1,8,1,10,2,13,1,30,4,28,1,6,1,17,4,9,1,17,3,12,1,24,1,7,1,6,1,24,1,8,1,13,1,29,2,6,1,30,1,6,1,29,1,9,3,13,2,8,1,11,1,16,2,17,2,9,1,28,17,6,1,28,1,6,1,30,1,6,1,7,1,30,1,6,5,13,1,30,2,6,1,30,1,6,1,30,2,6,1,28,1,30,2,6,2,30,3,9,1,8,1,10,1,9,1,11,1,17,1,10,1,16,1,11,1,16,1,9,3,11,1,9,1,11,1,9,1,11,4,9,1,11,2,9,2,11,1,9,3,8,1,9,3,13,3,8,1,13,2,7,1,13,1,8,1,13,3,7,1,13,3,8,1,13,6,8,1,13,1,8,3,9,1,8,1,9,1,13,1,8,1,9,2,13,1,11,1,9,1,11,1,10,2,11,7,9,1,11,1,16,1,17,1,11,1,17,1,11,1,17,1,16,1,17,1,16,1,11,1,16,1,17,2,16,3,11,1,9,1,16,1,13,1,30,6,6,2,29,1,6,1,30,2,29,2,6,1,28,1,6,8,13,1,6,4,13,1,7,1,9,1,13,1,6,1,30,4,28,2,30,2,28,1,30,1,29,1,30,6,28,1,30,3,28,1,30,9,28,1,29,1,30,1,6,1,29,1,6,2,8,1,17,22,12,1,17,1,11,1,12,1,9,3,8,1,9,1,24,1,9,1,8,1,9,1,13,1,24,1,8,3,13,1,8,1,7,1,13,1,7,1,13,1,6,1,13,2,6,1,8,3,13,3,7,1,13,1,7,1,8,1,13,1,7,1,13,1,30,1,13,1,6,1,28,1,30,2,6,2,29,1,13,1,6,1,13,2,7,4,8,1,13,3,8,1,13,2,29,1,6,1,29,1,6,1,29,1,6,2,28,1,29,1,28,2,30,1,28,1,30,1,28,10,30,1,28,9,30,1,28,1,30,1,28,2,30,5,29,1,13,1,29,1,13,1,8,1,7,1,8,1,9,1,24,1,17,1,9,1,24,1,12,1,24,1,8,1,24,2,8,1,24,2,8,1,13,1,24,3,9,1,13,1,10,1,9,1,12,1,8,1,9,1,8,1,12,1,11,3,12,1,10,3,17,1,11,2,9,2,8,1,9,2,13,1,8,1,13,2,9,1,13,1,9,1,8,3,9,2,13,1,9,1,13,1,8,2,9,2,11,1,9,1,8,2,24,1,13,1,9,1,11,1,7,1,8,1,13,5,8,1,13,1,9,1,6,1,7,1,29,1,6,1,7,1,6,1,7,1,6,1,29,1,6,1,29,5,6,1,29,1,30,1,6,2,29,1,7,1,30,1,6,1,29,1,6,1,29,1,30,1,6,4,7,1,30,1,6,1,30,1,6,5,30,1,29,1,6,2,30,1,6,1,30,1,6,2,29,1,6,2,30,1,29,1,30,2,29,1,7,1,30,1,6,6,7,1,6,3,29,1,6,1,30,1,6,1,13,1,29,1,6,1,7,1,6,1,29,1,13,1,7,1,6,2,13,1,6,1,30,1,28,3,6,1,26,1,25,1,26,1,29,1,30,1,27,1,29,1,30,1,28,1,29,3,26,1,29,1,27,3,29,1,27,1,29,2,27,1,26,1,27,2,24,4,8,1,24,7,25,2,24,2,25,1,13,3,9,1,16,1,11,1,9,2,13,1,6,2,30,1,29,1,6,1,30,1,6,4,7,1,6,5,13,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,4,28,2,29,1,28,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,6,1,30,2,6,1,30,2,28,3,30,2,6,1,30,2,28,2,30,2,28,1,30,4,28,2,30,3,28,2,30,1,28,1,30,1,28,3,30,2,28,3,30,1,28,1,30,2,28,1,6,1,28,1,30,2,28,1,29,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,5,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,5,28,2,30,2,28,1,30,1,28,1,29,1,28,1,6,1,28,1,9,1,6,1,28,2,30,1,29,1,6,1,30,1,28,3,30,1,28,23,30,1,28,1,30,1,28,6,30,2,28,7,30,1,28,3,30,1,28,4,30,1,29,1,28,1,30,2,28,4,6,2,30,1,28,4,30,1,28,1,6,2,30,4,28,1,30,1,28,1,6,1,28,1,30,2,28,6,30,2,28,1,13,2,30,2,28,1,30,6,6,2,30,1,6,1,29,2,6,1,13,1,6,3,30,1,6,1,30,2,6,1,30,1,6,1,29,1,6,3,30,1,28,1,6,2,30,1,6,1,29,1,28,1,30,1,6,1,30,2,29,2,28,1,6,1,28,2,30,2,28,1,30,2,28,2,30,2,28,2,30,5,13,1,6,1,28,1,13,1,8,1,11,1,30,1,6,1,28,1,30,4,28,5,30,1,28,2,9,2,28,1,30,1,6,1,28,1,6,1,29,1,28,2,30,2,29,1,30,1,28,1,30,2,13,1,28,1,6,1,30,2,28,1,30,2,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,1,6,2,30,2,28,2,30,1,28,1,30,1,13,1,11,1,13,1,28,5,30,2,28,1,30,1,28,3,30,2,28,14,30,1,28,1,30,4,6,1,30,5,28,1,30,1,28,4,30,1,28,4,30,1,28,19,30,1,28,11,30,1,28,2,30,1,28,5,30,1,28,23,8,1,13,1,28,10,30,1,28,2,30,1,28,5,30,1,28,20,30,1,28,50,30,1,28,15,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,12,30,1,28,5,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,6,30,1,13,1,16,1,9,1,16,1,17,7,12,1,11,1,17,19,12,1,17,21,11,2,8,2,6,2,29,3,30,1,28,1,30,1,28,13,13,2,7,1,6,1,13,3,29,1,30,1,13,1,9,1,13,1,9,1,10,1,9,1,11,1,9,2,13,2,9,1,8,1,9,3,11,2,10,1,11,1,9,1,8,1,13,1,9,1,10,1,17,3,16,1,17,1,16,1,11,4,10,1,9,1,17,1,11,1,17,2,11,1,17,1,11,1,17,1,12,1,17,4,12,1,17,2,11,5,12,2,9,1,7,1,30,8,6,1,30,2,6,1,28,1,30,1,29,2,30,6,28,2,30,1,6,1,28,4,30,1,28,6,30,2,6,1,30,1,28,3,30,1,28,1,29,1,28,1,30,1,28,2,30,1,6,1,30,2,28,1,30,4,29,2,6,1,30,1,13,2,6,1,13,1,8,1,13,1,9,1,13,1,8,1,11,5,10,1,11,3,17,3,9,1,6,1,30,5,28,2,30,2,28,3,30,2,28,31,30,1,28,13,30,1,28,1,30,1,28,4,30,1,28,1,30,3,28,1,6,1,30,2,29,1,30,2,6,3,13,1,6,1,13,1,6,12,29,1,6,2,30,1,28,1,30,6,6,1,29,1,6,1,7,1,30,1,6,1,30,3,28,2,29,1,6,1,29,2,30,2,6,1,28,1,30,3,29,1,28,1,30,1,28,1,30,1,29,1,6,1,30,1,29,2,28,1,30,4,6,1,28,1,6,1,30,1,29,1,6,1,28,1,29,1,6,2,29,1,6,3,28,1,6,6,29,1,13,1,7,1,6,1,7,2,13,9,8,3,9,1,8,1,13,1,8,1,13,7,7,1,6,1,13,1,6,1,13,2,6,1,13,4,6,1,13,3,11,1,9,1,12,1,17,4,12,1,17,1,10,1,8,1,7,1,13,3,9,1,8,1,13,1,9,1,8,2,13,4,8,1,9,6,17,2,11,1,17,2,11,1,17,4,9,1,6,1,13,1,30,7,28,1,30,1,6,2,30,2,7,2,13,1,30,1,6,1,30,1,6,2,30,1,6,1,30,2,7,1,29,1,6,1,29,1,6,3,7,1,29,1,30,2,28,1,6,1,30,1,29,2,6,2,30,4,6,1,29,1,30,2,6,1,30,1,6,2,29,1,30,1,13,1,30,1,6,5,30,1,6,1,7,1,30,1,6,1,30,2,6,1,13,1,7,1,6,1,13,5,6,1,30,4,29,1,6,1,30,1,6,2,13,1,30,1,28,1,6,1,30,1,6,5,30,1,13,1,6,2,7,2,30,1,13,1,6,1,13,4,30,1,6,2,13,2,6,1,13,1,7,1,13,4,9,1,7,1,13,2,7,1,13,2,6,1,13,1,8,1,13,1,7,1,13,1,7,1,13,2,8,1,13,4,6,1,13,1,6,1,13,1,7,1,13,5,8,1,6,1,13,3,6,1,13,1,7,1,6,3,7,1,30,1,13,4,6,2,13,1,30,1,6,3,7,1,13,2,28,13,30,1,28,2,30,2,28,1,30,1,6,3,30,1,6,2,13,1,7,2,9,1,13,2,8,2,13,2,8,1,9,1,8,1,9,3,8,1,9,1,8,1,9,5,13,1,8,2,10,1,8,1,9,5,11,1,13,1,28,15,13,1,17,2,9,1,13,1,7,1,6,1,30,1,7,1,28,1,6,1,30,1,28,7,30,1,28,1,30,1,28,1,29,1,13,2,9,4,17,2,9,1,30,1,28,5,10,1,9,1,6,1,28,42,6,1,7,1,30,1,28,3,17,2,9,1,29,1,30,1,28,1,13,1,8,2,13,1,11,3,17,1,9,1,28,6,30,1,6,1,28,16,30,1,}, {17,1,16,1,11,1,8,1,13,1,29,1,30,3,28,1,30,1,28,1,11,1,8,1,6,1,28,50,6,1,28,1,6,1,8,1,9,1,8,1,13,1,6,1,29,1,6,2,11,2,8,1,13,2,29,1,6,2,8,1,24,2,17,2,16,1,17,2,12,1,16,1,9,1,6,2,30,1,28,1,30,1,13,1,8,2,13,3,30,1,6,1,8,1,17,4,9,2,24,3,8,1,6,1,11,1,17,4,13,1,7,1,13,3,30,1,13,1,6,1,13,1,29,1,28,35,6,2,9,2,10,1,11,1,13,1,30,1,29,1,28,1,30,1,29,2,16,1,17,8,11,1,13,1,9,1,13,2,8,1,24,1,30,1,29,1,13,4,8,1,13,2,8,2,9,1,12,1,17,3,8,1,28,17,6,1,30,1,6,1,30,1,13,1,6,7,29,1,13,1,6,4,29,1,6,1,28,1,6,1,30,1,6,1,30,1,29,1,30,1,29,1,30,1,6,1,9,2,13,1,10,1,16,1,10,1,11,3,10,1,11,2,10,1,9,1,16,1,9,4,13,1,10,1,9,6,13,1,9,3,13,1,9,1,8,1,9,1,13,1,9,2,8,5,13,1,8,2,13,1,8,2,9,2,13,3,9,2,8,1,13,1,8,1,11,2,9,1,8,1,9,2,13,3,9,1,8,2,13,1,8,1,13,2,8,1,9,2,13,1,8,1,11,2,9,1,11,1,16,1,9,2,10,1,8,1,9,1,13,3,9,1,6,1,13,3,7,2,6,1,13,2,30,4,29,1,6,1,28,1,29,1,30,6,29,1,6,1,7,1,6,2,29,1,30,1,6,7,13,3,8,1,6,2,29,1,30,1,28,1,30,1,6,1,30,4,6,1,28,1,30,2,28,1,30,1,28,2,30,2,6,1,28,1,30,4,29,1,30,2,28,1,30,4,6,1,29,1,13,2,7,1,10,1,17,21,11,1,12,1,10,2,11,2,10,1,24,1,10,1,8,1,24,1,8,3,24,1,8,1,7,1,13,3,7,1,6,1,7,1,13,1,6,4,7,1,13,1,8,1,9,1,13,1,6,1,13,1,7,1,13,4,8,1,6,1,7,2,28,1,6,4,7,1,6,1,13,1,6,1,13,1,7,1,13,1,8,1,13,2,8,1,13,1,8,1,7,1,8,1,9,1,13,1,6,1,7,2,30,3,6,1,28,1,30,2,28,4,30,1,28,3,30,1,28,13,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,4,29,1,7,4,13,1,24,2,17,1,12,1,8,2,24,3,8,1,24,3,9,1,24,1,8,3,9,1,24,1,9,1,24,1,9,2,10,2,8,1,9,1,12,1,9,3,12,1,17,1,12,1,9,1,12,1,13,2,9,1,13,1,8,1,9,1,10,1,9,2,10,1,9,1,24,1,8,2,13,2,9,3,12,1,10,1,9,1,10,1,8,2,13,1,8,1,24,1,8,1,13,1,7,1,8,1,13,1,24,1,13,2,8,1,13,5,7,1,13,1,7,1,6,1,13,1,6,1,29,1,6,1,7,1,6,7,30,1,7,1,29,1,7,1,28,1,6,4,29,1,7,1,6,1,29,1,30,1,7,1,6,3,29,1,6,5,13,1,30,1,6,1,29,1,6,1,29,1,6,2,7,2,30,1,6,2,29,1,30,2,29,1,30,1,28,1,7,1,30,1,29,1,6,1,7,1,29,1,7,1,29,1,6,1,13,1,6,2,29,1,7,1,30,2,6,2,7,2,13,2,7,1,13,3,28,4,29,2,25,2,27,2,30,1,29,2,30,1,29,2,27,1,29,1,27,1,26,1,27,1,26,1,27,2,29,1,27,1,30,1,29,2,27,1,24,7,25,1,24,1,25,1,8,1,25,1,24,1,25,1,8,2,24,2,8,3,10,1,11,1,9,1,12,1,9,1,13,1,6,1,28,2,30,1,28,1,6,1,7,1,30,1,29,1,6,2,7,1,13,1,6,2,13,1,6,2,13,1,6,1,30,11,28,1,30,1,28,1,30,1,28,2,6,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,5,28,1,30,1,28,1,30,2,28,2,30,4,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,3,6,1,30,4,28,2,30,2,28,2,30,1,28,1,30,2,28,5,30,1,28,1,30,1,28,3,30,1,28,3,30,4,28,2,30,3,29,1,28,1,30,1,28,2,29,1,6,2,28,3,30,3,6,1,30,2,28,3,30,1,28,2,30,3,28,2,29,1,28,1,30,2,13,1,8,1,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,4,28,3,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,8,30,1,28,2,30,1,28,4,30,1,28,2,30,2,28,3,30,1,7,1,13,2,9,1,6,1,13,1,6,1,30,2,6,1,30,1,6,1,7,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,2,28,4,30,1,28,1,13,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,2,28,2,30,2,28,2,30,1,28,1,30,2,28,1,30,4,28,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,2,6,1,28,1,30,2,6,1,30,6,6,1,30,3,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,5,13,1,6,1,13,4,30,5,28,2,30,1,28,6,11,1,13,1,29,1,30,1,7,1,30,1,6,3,8,1,13,2,6,2,30,2,28,1,6,1,30,4,28,2,30,1,28,1,30,3,28,5,29,1,28,2,30,1,28,1,6,1,28,7,30,2,28,1,30,2,28,2,30,2,28,2,30,1,28,10,30,1,9,1,30,1,28,2,30,1,28,1,30,2,28,6,30,1,28,6,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,6,30,3,6,1,28,1,30,1,28,13,30,1,28,1,30,1,28,23,30,1,28,4,30,1,28,1,30,1,28,13,30,1,28,10,30,1,17,1,28,9,30,1,6,1,28,4,30,1,28,1,30,1,28,10,30,1,28,9,30,1,28,1,30,1,28,11,30,1,28,25,30,1,28,3,30,1,28,16,30,1,28,6,30,1,28,9,30,2,28,3,30,1,28,1,30,1,28,12,30,2,28,2,30,1,28,10,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,6,30,3,28,2,30,1,28,2,30,1,28,7,30,1,13,1,9,2,17,7,12,2,24,1,12,1,17,18,16,1,17,20,11,1,13,1,30,1,13,1,6,2,29,3,28,17,13,4,7,1,13,3,6,1,9,3,11,2,9,2,7,1,8,2,9,1,8,1,9,2,16,1,8,1,9,2,11,1,9,3,13,1,10,1,17,4,11,1,17,1,11,2,16,1,10,3,9,1,11,1,17,2,12,1,17,1,11,1,17,4,12,1,11,2,17,1,11,3,10,1,11,1,17,1,11,2,17,1,11,1,6,2,30,7,28,1,30,1,29,1,28,1,30,2,29,1,30,3,6,1,30,3,28,1,30,1,7,1,6,1,28,2,30,1,28,6,30,2,6,1,28,3,30,2,28,5,30,1,28,2,30,2,28,5,30,1,6,1,30,1,29,1,13,1,6,2,8,1,13,1,8,2,9,5,11,1,9,1,11,1,17,1,11,3,17,4,9,1,28,1,30,3,28,1,30,2,28,3,30,2,28,1,29,2,28,25,30,1,28,5,30,1,28,4,30,1,28,2,30,1,28,9,30,2,28,2,30,1,6,1,30,2,29,1,30,3,13,1,6,1,30,1,6,2,13,1,6,1,13,1,30,1,6,5,13,1,6,1,30,1,13,1,6,1,29,1,6,1,28,1,6,4,28,1,30,1,6,1,28,1,30,1,7,1,30,2,6,1,30,1,6,1,29,1,30,5,6,1,30,2,6,1,13,1,30,2,29,1,30,3,28,1,6,1,30,1,28,1,6,1,28,1,30,3,29,1,30,2,6,3,29,1,30,1,6,1,29,1,30,2,6,1,30,1,6,1,30,1,6,3,29,1,13,2,6,2,30,1,6,1,13,1,6,2,13,1,7,1,6,2,13,6,9,1,13,1,9,1,13,3,7,1,13,2,8,1,7,1,8,1,13,2,6,1,7,1,13,2,29,1,13,1,6,2,13,1,7,1,13,4,7,1,8,1,13,1,9,1,17,6,11,1,9,1,17,1,9,1,13,1,7,2,8,1,13,1,8,1,13,1,9,1,8,2,13,4,9,1,8,1,10,1,9,1,10,1,12,1,11,1,12,1,9,1,11,1,17,1,11,1,17,5,13,1,6,2,7,1,6,1,29,2,30,1,28,1,29,1,30,4,28,1,30,2,6,2,29,1,6,4,13,1,7,1,13,1,6,2,7,1,13,1,6,1,29,1,13,1,6,1,29,3,6,2,30,2,6,1,30,1,6,2,28,1,30,1,6,1,29,1,30,1,6,2,29,1,30,4,7,1,6,2,29,1,6,1,7,2,6,3,13,1,6,2,30,1,8,1,30,1,13,1,6,1,30,1,7,1,13,1,30,1,6,1,30,1,6,5,13,1,30,1,6,1,30,1,6,1,29,1,30,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,7,1,13,1,6,1,13,2,6,1,7,1,6,3,13,1,8,1,30,1,7,1,13,1,6,1,7,2,6,1,7,1,13,4,8,1,6,1,13,2,8,1,13,2,6,1,13,1,8,1,13,1,6,1,13,1,6,1,13,8,7,1,13,1,6,4,8,1,13,2,7,1,13,1,6,1,13,1,6,2,13,1,7,1,6,1,13,1,6,1,13,1,6,1,7,2,13,1,6,1,13,1,6,2,29,1,6,2,13,1,6,1,30,1,28,20,30,1,6,1,29,1,30,1,6,4,13,1,7,1,13,1,7,1,13,2,6,1,8,1,13,5,9,1,13,1,9,1,13,12,7,1,13,1,9,1,11,1,29,1,28,15,9,1,17,1,16,1,11,1,13,1,6,1,7,1,13,1,28,2,30,1,6,1,30,1,28,4,30,1,28,5,6,1,13,1,7,1,8,1,9,2,11,1,17,2,8,1,28,6,9,1,10,1,30,2,28,41,30,1,29,2,28,3,17,2,11,1,6,1,30,1,29,1,13,2,8,1,9,2,11,1,10,1,17,1,9,1,28,6,7,1,30,1,28,17,}, {17,1,16,1,9,1,13,1,8,1,29,1,13,1,28,1,30,1,28,3,9,1,12,1,29,1,28,11,30,1,28,37,30,1,28,2,30,1,12,1,11,1,10,1,8,1,7,1,6,2,13,1,8,1,10,1,13,2,8,1,28,1,6,1,13,2,12,1,11,1,17,1,10,1,17,2,11,1,17,2,13,2,29,3,30,2,13,1,9,1,6,1,13,4,24,1,17,5,9,3,13,2,8,1,10,1,17,4,13,2,6,1,7,1,8,1,29,1,7,1,13,1,8,1,28,37,7,1,10,1,24,1,9,2,13,1,29,1,30,1,6,2,30,1,6,1,17,9,9,1,24,1,8,1,13,3,30,1,28,1,29,1,6,1,7,1,8,1,6,1,8,1,13,1,8,1,9,1,8,1,12,1,17,4,16,1,28,17,6,1,30,1,7,1,30,1,6,2,7,1,6,2,30,1,6,6,29,1,6,1,29,2,28,1,30,3,6,1,28,1,6,1,30,2,13,1,9,1,13,1,10,1,11,1,16,3,11,1,16,3,11,2,10,1,9,1,11,2,9,1,8,1,11,2,9,1,10,1,8,1,17,1,10,1,11,1,8,1,9,6,13,1,9,1,13,2,11,1,9,1,8,1,13,1,7,1,13,2,8,1,6,2,13,1,7,1,6,7,30,2,6,1,30,3,28,1,30,1,6,1,30,1,7,1,29,1,30,1,6,5,30,2,6,1,30,3,28,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,6,1,29,1,30,1,28,1,6,1,30,1,29,1,30,1,28,2,29,1,28,1,6,1,30,1,28,1,29,1,30,3,6,1,30,1,29,1,6,2,30,1,6,1,30,1,29,1,30,1,6,1,7,1,6,7,13,3,7,1,6,1,13,3,29,1,30,1,29,1,30,1,28,1,30,3,28,1,30,1,28,2,30,2,6,1,30,6,29,1,30,10,29,1,30,1,29,1,30,1,6,1,8,1,11,1,17,18,12,2,17,4,12,1,11,1,10,3,8,1,9,2,24,1,9,2,13,1,8,4,13,1,6,2,13,2,6,3,29,1,6,2,8,1,13,4,7,1,13,1,6,1,7,1,8,1,13,2,6,1,13,4,6,2,29,1,6,1,7,1,13,2,7,1,13,4,8,1,24,1,13,1,24,1,8,1,13,3,6,2,30,1,6,1,29,1,30,4,28,6,30,1,28,12,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,4,6,2,30,1,6,2,13,1,24,1,9,1,17,1,12,2,13,1,8,1,10,1,8,2,9,1,24,1,9,1,8,2,13,1,8,1,13,1,9,1,24,1,8,2,24,2,9,2,8,1,10,1,8,1,10,1,24,1,11,1,9,1,10,3,12,1,11,1,9,3,10,1,8,2,9,1,8,1,13,2,9,1,8,3,10,1,9,1,24,1,9,1,8,1,9,1,8,1,9,1,8,2,9,1,24,1,13,1,7,1,8,2,13,2,8,2,13,1,9,1,6,1,13,1,8,1,24,1,13,2,8,1,6,1,24,1,6,1,13,1,6,1,13,1,7,1,6,1,13,2,29,1,6,2,28,1,6,4,7,1,30,1,6,1,30,1,7,1,6,6,7,1,6,5,28,1,7,1,6,1,8,1,6,1,7,1,6,2,29,1,6,3,29,1,6,1,30,2,7,1,13,1,7,1,6,2,29,2,30,2,13,1,6,2,30,1,7,1,29,1,30,3,6,5,7,1,6,2,13,6,28,5,6,1,27,1,25,1,27,3,28,1,29,1,27,1,29,1,27,1,29,2,26,1,25,1,27,2,24,1,27,1,26,1,27,1,29,1,27,1,29,1,27,1,25,2,8,1,24,1,25,1,24,1,25,1,8,1,24,3,25,1,8,1,25,1,24,2,25,1,24,2,8,1,7,1,8,2,16,1,9,1,11,1,9,1,6,1,30,3,28,1,30,1,6,4,7,1,30,1,6,1,29,1,30,1,7,1,30,2,28,1,6,1,30,1,29,1,28,1,30,3,28,1,29,1,30,1,29,1,30,1,28,1,30,5,28,1,30,1,6,1,30,5,28,2,30,3,29,1,30,3,28,4,30,3,6,1,28,4,30,2,28,1,30,3,29,1,28,2,30,6,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,5,28,1,6,1,29,1,30,3,28,1,6,1,28,1,30,2,28,6,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,3,28,2,30,1,28,4,30,3,6,1,30,2,28,1,7,1,30,2,6,1,30,4,28,1,30,1,28,2,30,1,28,4,30,1,6,1,28,1,30,1,28,1,6,1,28,1,8,1,13,1,30,1,28,3,30,3,29,1,30,1,28,4,30,1,28,6,30,2,28,1,30,1,28,4,30,1,28,4,6,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,10,30,1,28,1,30,1,28,2,30,1,28,5,13,2,8,1,13,2,30,1,28,1,30,1,6,1,28,1,13,2,30,2,28,4,30,1,28,10,30,1,28,1,30,1,28,1,30,1,28,4,30,3,29,1,28,1,30,1,28,1,30,1,28,2,30,3,28,4,30,3,28,1,30,3,28,1,30,4,6,1,28,1,30,1,29,1,6,1,13,1,30,1,6,1,30,2,28,1,30,1,6,1,28,1,30,1,29,1,6,1,28,1,6,1,30,1,6,1,30,4,28,4,30,1,28,1,29,1,28,1,6,1,30,3,8,1,17,1,9,1,13,2,30,1,13,1,6,1,28,5,30,2,28,1,30,3,6,1,28,1,11,1,6,2,30,1,6,1,30,2,29,1,30,1,6,1,13,2,30,1,29,1,28,1,30,1,28,1,6,1,30,4,29,1,30,1,28,2,30,1,28,8,30,3,28,2,30,1,28,1,30,3,6,3,28,4,30,3,28,2,30,1,28,11,6,1,9,1,30,5,28,1,30,1,28,18,30,1,28,2,30,2,28,5,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,9,30,1,28,20,13,1,28,2,6,1,28,5,6,1,28,16,30,2,28,1,6,2,30,1,28,1,17,1,30,1,28,8,30,2,28,7,30,1,28,23,30,1,28,1,30,1,28,4,30,1,28,15,30,1,28,1,30,1,28,15,30,1,28,11,30,1,28,13,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,6,30,3,28,8,30,1,28,2,30,1,28,5,30,2,28,1,30,3,28,1,30,4,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,2,30,3,28,7,13,1,9,2,16,1,17,4,10,1,12,1,17,1,9,1,13,1,24,1,12,1,17,21,16,1,17,8,11,1,17,1,11,1,9,1,17,1,11,1,8,1,6,2,13,1,7,1,13,2,29,2,27,1,30,1,28,16,13,2,7,1,13,1,7,1,6,1,13,1,6,1,13,1,8,2,13,1,11,1,9,1,11,1,9,2,13,1,8,1,9,3,8,1,13,1,9,1,11,3,9,1,11,1,8,1,13,1,9,1,16,1,17,1,16,1,17,2,16,2,9,1,11,3,10,1,16,1,11,1,9,1,11,1,17,1,11,1,17,1,11,2,17,5,11,1,17,2,11,1,17,1,10,1,17,1,11,1,10,1,11,3,8,1,6,1,30,1,28,1,30,6,29,1,30,1,28,1,30,1,29,1,6,1,29,2,30,2,28,4,9,1,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,3,28,2,30,1,28,1,30,1,28,1,30,1,28,2,29,1,30,1,6,1,13,2,6,1,13,2,6,1,13,1,8,2,10,2,9,1,12,1,11,3,17,1,12,1,17,4,13,1,7,1,30,6,28,1,30,1,28,3,30,1,13,1,28,30,30,1,28,5,30,1,28,15,30,1,28,2,30,1,28,1,6,1,30,1,6,1,30,4,6,1,30,1,6,2,7,1,13,1,6,3,30,1,29,1,6,1,29,1,7,1,6,2,30,1,6,1,7,1,29,1,6,1,30,1,6,2,29,1,6,1,30,1,13,2,29,1,6,1,28,1,30,6,29,1,6,1,30,1,29,1,30,4,6,1,30,1,6,2,30,4,7,1,6,1,28,1,30,1,28,1,30,5,29,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,30,3,13,2,6,2,7,1,6,2,13,2,7,1,6,1,13,6,9,1,13,3,8,1,13,1,8,1,6,1,8,1,13,1,9,1,13,4,6,1,13,4,7,2,13,7,7,1,13,1,8,1,9,1,17,6,12,1,17,1,9,1,8,2,7,1,13,1,7,2,13,3,8,1,13,2,7,1,13,3,8,1,9,2,10,1,8,1,9,1,17,1,12,1,17,1,11,1,17,7,7,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,2,30,1,29,1,30,1,29,1,30,1,28,2,6,1,28,1,6,1,13,1,6,1,30,1,13,1,7,1,30,2,6,1,30,1,6,1,30,1,29,1,7,1,29,1,6,3,7,1,30,2,29,1,30,2,6,1,30,3,6,1,30,2,29,1,6,1,30,1,6,1,30,1,13,1,29,1,30,1,6,2,28,1,7,1,6,4,13,1,29,1,6,1,29,1,13,2,6,1,13,1,6,2,7,1,28,1,6,3,13,1,6,1,7,1,30,1,6,5,7,1,30,1,6,1,30,1,29,1,6,2,30,2,6,1,30,1,29,1,30,1,6,2,13,1,6,1,7,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,30,1,13,2,6,2,13,1,6,1,13,2,7,1,13,2,6,1,13,1,6,1,13,2,7,1,13,3,7,1,6,1,13,1,6,1,13,2,6,1,13,1,9,1,7,1,13,3,6,1,13,1,6,2,13,3,7,1,13,2,6,1,13,1,6,1,13,2,29,1,7,1,6,1,13,1,7,1,30,1,13,1,6,1,7,1,6,1,7,1,6,1,13,1,6,3,13,1,6,1,13,2,29,1,28,21,30,2,6,1,30,1,6,2,13,1,6,1,13,1,6,1,29,1,7,1,13,1,6,2,7,2,6,1,13,1,6,1,13,2,7,1,13,4,6,1,13,2,6,1,7,1,13,1,6,1,13,2,6,1,13,1,10,1,9,1,29,1,28,15,9,1,17,2,9,1,8,1,7,3,30,1,28,1,30,1,6,1,30,1,28,7,30,1,28,1,30,2,6,1,13,1,8,1,9,1,8,1,9,1,17,2,9,1,28,5,6,1,13,1,8,1,30,1,28,2,30,1,28,39,13,2,30,1,28,2,6,1,17,2,9,1,29,1,30,1,29,1,8,2,13,2,9,2,17,2,9,1,28,6,30,1,7,1,28,17,}, {17,1,11,1,16,1,8,1,13,1,6,1,30,3,28,3,13,1,12,1,6,1,28,49,30,1,28,3,11,1,10,1,8,1,13,1,29,1,6,2,13,1,8,1,12,1,13,1,8,1,6,2,13,1,6,1,8,2,9,1,17,6,11,1,10,1,13,1,28,3,29,1,30,1,8,1,12,1,6,1,13,1,29,1,6,1,7,1,13,1,12,1,17,3,11,1,9,3,13,2,8,2,17,4,13,1,8,2,29,1,13,1,6,1,13,2,24,1,29,1,28,36,8,1,9,3,11,1,8,1,7,1,30,1,28,2,30,1,7,1,12,1,17,8,10,1,9,1,8,1,24,1,8,1,13,3,29,1,6,2,13,1,8,3,9,1,24,1,9,3,12,1,17,2,16,1,28,17,30,3,28,1,6,1,13,1,29,1,13,1,6,3,13,1,6,1,29,1,13,1,6,3,29,2,30,4,29,1,30,1,29,1,13,1,16,1,9,2,16,1,9,2,10,1,11,2,9,1,11,1,8,1,13,2,8,1,13,8,8,1,9,1,13,1,7,2,6,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,2,29,1,6,1,28,1,30,3,28,1,30,1,29,1,30,1,28,1,30,4,28,1,30,2,28,1,30,6,28,1,30,2,28,1,29,2,6,1,29,1,6,1,30,2,29,1,30,2,28,1,30,2,6,1,30,8,29,2,30,1,6,1,29,1,30,4,6,1,30,2,29,1,30,2,28,1,30,1,28,2,30,3,28,1,30,3,28,1,6,1,30,1,6,1,30,2,6,1,29,1,6,2,29,1,6,2,30,1,7,1,6,1,13,2,30,1,13,1,7,2,30,3,6,1,30,2,29,1,6,1,29,1,30,4,6,1,30,4,28,1,29,1,30,4,28,1,30,4,29,1,30,3,29,1,7,1,13,1,9,1,17,14,12,2,17,5,12,1,17,2,12,3,10,1,8,1,11,1,8,1,24,1,10,1,8,1,24,1,11,1,24,1,9,1,8,1,13,1,7,1,8,1,7,1,13,1,7,2,6,3,7,2,13,2,8,2,7,1,13,2,7,1,13,3,9,1,8,1,13,1,6,1,29,1,13,1,6,1,28,1,7,1,29,1,13,1,7,1,13,2,7,1,13,3,8,1,13,4,11,1,13,1,24,1,13,1,29,1,30,1,6,1,29,1,30,1,6,1,30,3,28,3,30,1,28,2,30,1,28,3,30,1,28,16,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,6,5,13,1,8,1,13,1,9,1,17,2,13,2,7,2,8,1,13,1,24,1,7,1,8,4,24,1,13,1,8,5,13,1,24,2,11,1,24,1,8,1,24,2,11,1,8,1,11,1,12,1,17,1,10,1,11,1,9,1,8,2,9,2,8,2,11,1,8,2,9,4,8,2,24,1,12,1,13,1,24,1,9,2,10,1,11,1,13,1,8,1,13,1,9,1,8,4,13,1,24,1,13,1,24,1,8,4,13,1,8,2,7,1,13,2,8,1,13,1,7,1,13,1,6,1,13,1,30,1,13,1,7,2,30,1,6,5,7,1,6,2,30,2,6,1,13,1,6,2,7,1,6,1,7,1,29,1,30,1,13,3,6,1,29,1,6,1,7,1,29,1,6,1,29,3,6,1,29,1,6,2,30,1,7,1,30,1,29,1,6,3,30,1,29,1,6,2,30,1,6,1,29,1,30,1,6,2,7,1,6,2,30,1,7,1,13,1,6,3,9,1,13,3,9,1,6,1,28,5,6,1,30,1,27,1,25,1,26,2,30,1,28,1,29,2,27,2,29,1,27,2,26,1,27,3,25,1,27,1,30,1,29,1,30,2,27,1,8,1,25,1,8,1,24,3,8,2,24,5,25,1,24,2,25,1,13,1,6,1,13,1,9,1,13,1,12,2,11,2,9,1,13,1,30,1,28,1,29,1,28,2,7,1,30,1,6,1,30,1,7,1,13,2,6,1,29,1,30,2,6,2,29,1,30,1,29,1,28,1,30,3,28,1,29,1,6,3,30,3,28,3,30,2,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,5,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,29,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,4,6,2,30,1,28,4,30,1,28,3,30,1,28,3,29,2,30,3,28,5,30,1,28,2,30,1,28,2,30,4,28,1,30,1,28,1,30,2,28,1,30,1,29,1,30,1,28,1,30,1,28,2,30,1,6,1,30,3,28,1,7,1,6,2,13,2,7,1,28,1,7,1,30,1,6,1,29,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,3,30,2,28,1,11,1,9,1,28,1,29,1,30,3,28,2,6,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,3,29,1,30,1,28,1,30,1,28,14,30,1,28,2,30,1,28,2,30,1,6,1,13,1,8,1,6,2,28,7,30,1,28,2,30,2,28,5,30,3,28,1,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,5,30,1,28,3,30,2,28,1,30,2,28,1,30,2,28,6,30,2,28,1,30,8,6,1,30,1,6,1,9,1,8,1,28,1,6,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,29,1,28,1,30,1,6,1,28,1,29,1,30,1,28,4,6,1,30,1,6,2,28,1,30,1,6,1,11,1,9,1,13,1,30,1,6,1,29,1,6,1,29,1,30,1,6,1,28,1,30,1,28,2,30,1,7,1,30,1,28,1,30,2,28,1,13,1,6,1,30,1,6,2,29,1,28,1,30,1,28,1,30,1,6,1,30,4,28,1,30,2,28,1,30,1,6,1,28,2,30,2,28,1,30,1,28,6,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,3,28,2,30,1,28,8,30,1,28,11,11,1,13,1,6,1,28,1,30,2,28,1,30,1,28,5,30,1,28,8,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,10,30,2,28,2,30,1,28,1,30,2,28,4,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,8,13,1,28,2,30,1,28,2,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,5,30,7,28,2,30,1,28,1,9,1,8,1,28,8,29,1,28,8,30,1,28,7,30,1,28,10,6,1,28,6,30,1,28,14,30,1,28,54,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,5,28,1,30,1,28,5,30,1,28,2,30,1,28,5,30,1,28,3,6,1,28,2,30,1,28,4,30,1,28,7,30,3,28,3,30,2,28,3,30,2,28,1,30,1,28,4,30,1,13,1,9,2,11,1,10,1,16,1,17,1,16,1,12,1,15,2,12,2,9,1,8,1,17,28,11,1,17,1,16,2,10,1,13,1,6,1,7,1,13,1,29,1,13,1,8,2,13,1,6,1,29,1,27,1,29,1,28,16,6,1,13,7,7,1,13,1,9,1,13,1,9,2,8,1,9,3,13,1,8,1,9,1,13,1,9,5,11,1,9,1,10,1,9,1,13,1,9,2,17,2,16,1,17,1,11,3,17,1,11,1,9,1,11,1,9,1,11,1,12,1,16,1,17,2,16,1,11,2,17,1,11,3,12,2,11,4,17,4,11,1,12,1,10,1,17,1,9,1,6,1,30,2,28,1,30,1,28,2,30,5,6,2,29,1,30,6,28,1,9,1,28,1,30,2,28,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,6,1,28,3,6,2,30,1,28,3,30,2,28,3,30,1,6,2,30,3,6,4,13,5,9,4,10,1,12,1,10,1,17,1,9,1,11,2,17,3,11,1,9,1,6,1,28,1,30,1,6,1,28,2,30,3,28,2,30,1,29,1,28,31,30,1,28,6,30,3,28,4,30,1,28,9,6,1,30,1,28,3,29,2,30,1,29,1,13,1,6,1,13,2,6,1,28,1,6,3,13,1,30,1,6,1,7,1,6,4,30,1,6,1,30,1,6,1,30,1,29,1,6,1,29,2,6,2,30,4,6,1,30,1,28,1,30,3,29,2,30,1,6,1,30,1,6,1,30,2,6,1,29,1,30,2,6,1,30,4,28,1,30,5,6,1,30,1,29,1,6,1,29,1,6,1,29,1,30,1,6,1,29,1,30,1,29,2,6,1,30,1,6,1,13,1,6,1,13,1,6,1,13,1,30,1,29,1,7,1,6,2,7,1,6,1,13,1,6,1,13,8,9,1,8,1,13,1,9,2,13,1,9,1,11,1,8,1,9,2,13,2,7,2,13,1,7,1,13,1,7,1,29,1,13,2,7,1,8,1,13,1,7,1,13,3,9,1,17,5,12,1,17,1,9,1,10,1,9,1,8,1,13,2,8,1,13,1,6,1,13,3,8,1,6,1,7,1,13,3,8,4,9,2,8,1,10,1,11,1,10,1,11,2,17,1,11,1,17,3,11,1,6,2,30,3,28,2,6,1,28,1,6,2,30,3,28,2,6,1,28,2,6,1,13,2,6,2,29,2,6,5,29,1,28,1,29,1,6,6,30,2,6,1,30,2,6,2,30,1,6,5,29,3,6,2,28,1,30,1,13,1,6,5,30,1,6,1,7,1,6,1,29,1,6,6,30,1,6,1,29,2,7,1,30,1,29,1,6,7,7,1,29,2,30,3,29,1,13,1,6,2,7,1,30,2,13,1,30,1,13,1,7,1,13,2,6,1,13,3,6,1,13,1,29,1,13,1,6,1,13,1,7,1,13,2,7,1,6,1,13,2,7,1,13,1,6,1,13,4,6,2,7,1,13,1,7,1,6,2,7,1,13,1,6,2,13,1,7,2,13,1,6,1,7,1,13,1,7,1,13,4,7,1,8,1,13,3,6,3,13,1,7,1,6,1,7,2,6,3,13,4,7,1,13,2,7,3,13,2,29,1,30,1,28,22,30,3,6,1,29,1,28,1,30,1,6,1,30,1,6,2,29,1,6,4,29,1,6,1,30,3,29,1,30,1,6,2,30,1,6,1,29,1,6,1,7,1,13,1,30,1,8,2,30,1,13,1,10,1,9,1,6,1,28,15,8,1,17,2,13,2,6,1,13,1,6,1,28,1,7,1,30,1,28,6,30,1,28,4,30,2,13,2,8,1,13,2,16,1,17,2,9,1,28,5,30,1,13,2,30,1,28,42,13,2,29,1,28,2,6,1,17,3,30,1,29,2,6,1,13,2,9,3,11,1,17,1,9,1,28,6,13,2,29,1,28,16,}, {17,1,16,1,10,1,9,1,6,1,13,1,29,1,6,1,28,4,8,1,14,1,28,46,30,1,28,7,8,1,9,1,11,1,24,1,6,2,13,1,6,1,29,1,17,1,8,2,6,1,8,1,7,1,13,1,8,1,9,1,10,2,11,1,17,1,11,1,17,2,12,1,9,1,13,1,28,1,7,1,28,2,6,1,8,2,13,4,7,1,8,1,17,4,16,1,9,4,12,1,9,1,8,1,17,4,8,1,7,1,13,1,7,1,13,1,6,1,8,1,13,2,29,1,28,36,13,1,24,1,9,1,17,1,10,1,29,1,6,1,30,3,29,1,13,1,11,1,17,7,12,1,24,1,13,1,9,1,13,2,8,1,6,1,30,3,13,1,29,1,13,1,7,1,13,1,8,1,9,3,17,4,16,1,28,17,6,3,29,1,6,1,13,1,6,1,13,2,29,1,6,1,30,1,6,5,7,1,29,1,6,1,30,1,29,1,30,3,28,1,30,4,6,2,30,1,6,2,7,1,6,2,28,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,29,1,30,1,6,3,28,2,30,3,29,1,28,2,29,1,28,2,30,11,28,2,30,1,28,9,30,2,28,3,30,3,28,1,30,3,29,1,30,2,6,1,29,2,30,3,6,1,30,2,28,1,30,5,6,1,30,2,6,1,30,3,29,1,30,6,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,6,1,30,2,6,1,28,2,29,1,6,1,30,1,29,1,30,1,7,1,6,3,7,1,29,1,6,3,7,1,13,1,6,1,13,1,6,2,28,1,30,3,28,1,30,1,29,1,30,2,29,1,28,1,30,3,6,1,30,3,29,1,30,6,6,1,30,3,29,1,30,5,24,1,12,2,17,3,12,1,17,14,12,1,17,3,10,1,11,1,17,1,11,1,9,2,10,1,9,2,8,3,24,1,8,1,13,1,8,1,13,1,8,2,7,1,6,1,7,1,6,1,7,1,29,1,13,1,7,1,13,4,8,1,6,1,7,2,13,1,6,1,13,1,6,1,13,1,6,1,13,3,6,3,7,2,6,3,7,1,8,1,13,2,8,1,13,2,8,1,13,1,8,2,13,1,8,1,7,1,30,1,7,1,6,1,30,3,6,1,28,5,30,1,28,2,30,1,28,25,30,3,6,1,30,1,29,1,7,1,13,3,8,1,17,1,12,2,8,2,13,1,9,1,7,1,24,1,13,1,7,1,8,1,24,1,8,6,13,1,7,1,8,1,13,5,8,3,13,1,24,1,9,2,10,1,12,1,17,1,11,1,17,1,11,1,8,1,10,1,9,6,8,1,9,2,8,1,11,1,8,1,9,1,8,1,9,2,13,1,8,3,24,1,7,1,13,2,8,1,13,4,8,1,24,1,8,1,13,1,24,1,8,1,13,1,8,1,13,8,7,1,8,1,13,1,29,1,7,2,6,1,7,1,6,2,7,1,29,1,6,1,7,2,6,1,30,1,13,1,30,1,7,1,30,1,29,1,6,1,13,4,29,2,7,2,6,3,29,2,6,3,29,1,6,2,29,1,6,2,29,1,6,2,29,1,7,1,28,1,29,1,6,5,30,2,6,7,13,5,8,1,13,1,28,5,30,1,29,1,26,2,25,1,27,1,29,1,27,1,30,1,29,1,27,7,26,1,25,1,27,2,26,1,29,1,27,1,26,2,24,1,25,1,24,2,25,2,24,3,8,3,24,1,8,1,24,2,8,1,24,1,13,1,8,1,13,1,9,1,8,1,11,1,9,4,13,3,28,2,30,1,29,1,13,1,6,1,30,1,6,1,7,1,6,1,30,1,7,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,30,2,29,1,6,1,30,5,28,1,6,1,28,1,30,2,6,1,28,1,29,2,28,1,30,8,29,1,28,1,30,2,28,1,30,5,28,3,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,29,1,30,1,6,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,2,29,1,28,1,30,1,28,2,30,1,28,7,30,1,28,3,30,1,28,1,29,1,30,1,28,2,30,2,6,2,30,1,6,1,30,2,28,2,30,2,7,1,6,1,30,1,13,2,30,3,6,1,30,1,28,2,30,2,28,1,30,2,28,4,30,1,28,1,29,1,30,1,28,1,30,2,10,1,6,1,30,1,28,1,6,1,30,2,28,1,30,2,29,1,30,2,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,2,28,1,30,1,28,9,29,1,30,1,28,1,30,2,28,3,30,2,28,4,30,1,28,3,30,1,28,3,30,1,28,2,30,1,9,1,6,3,7,1,28,2,30,2,28,1,30,1,28,1,30,3,28,4,30,2,28,8,30,1,28,6,30,3,28,5,30,1,28,1,30,4,28,3,30,4,28,3,30,1,28,6,30,1,6,1,30,3,28,3,6,1,8,2,28,1,6,2,28,2,30,2,29,1,28,1,30,4,28,4,6,1,29,1,28,1,30,1,28,2,30,1,6,2,30,1,6,1,13,3,9,1,13,2,29,1,6,1,28,1,30,1,6,1,13,1,30,2,29,1,30,1,6,2,30,1,7,1,6,2,28,2,16,1,13,1,6,1,13,1,6,1,30,2,6,1,29,1,30,4,6,1,30,2,28,1,30,1,6,1,29,1,28,1,30,1,29,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,2,30,1,28,12,30,1,28,1,30,1,28,4,17,1,6,1,28,1,30,1,28,4,30,4,28,2,30,1,28,1,30,1,28,1,30,3,6,1,30,2,28,2,30,1,6,1,30,1,28,17,30,2,28,2,30,1,28,1,30,2,28,1,30,2,6,1,28,2,30,2,28,1,6,1,28,1,6,1,30,2,28,1,30,2,28,13,30,1,28,3,6,1,28,2,29,1,28,1,30,1,28,3,30,1,28,6,30,2,28,2,30,2,28,10,9,1,28,7,6,1,28,21,30,1,28,6,6,1,28,7,30,1,28,5,30,1,28,25,30,1,28,1,30,1,28,34,30,1,28,6,30,1,28,2,30,1,28,3,30,1,28,11,30,1,28,3,30,1,28,4,30,1,28,1,6,1,30,2,28,9,6,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,2,30,1,29,1,8,1,9,1,11,1,12,1,9,1,10,1,15,1,17,3,24,1,9,1,11,1,16,1,17,27,11,1,8,1,13,2,6,2,13,3,7,1,13,2,6,2,29,1,27,1,29,1,28,16,30,1,13,7,6,2,8,2,9,3,13,1,10,1,9,2,8,1,9,5,8,1,13,1,17,1,11,1,9,1,11,1,9,1,13,1,9,1,16,1,17,4,11,11,17,3,11,3,10,1,16,1,11,1,17,3,11,2,17,1,16,1,11,1,16,1,12,1,11,1,9,1,17,1,12,1,9,1,30,1,28,1,30,3,29,1,30,2,29,1,28,1,30,3,6,1,29,1,30,3,28,2,13,2,6,1,28,4,30,1,6,1,28,2,30,2,28,2,30,1,28,1,30,3,28,1,30,1,6,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,6,1,28,1,30,2,29,1,30,2,6,1,7,1,6,1,13,2,7,1,13,1,8,3,9,1,10,1,9,3,11,4,16,1,17,2,11,1,13,1,30,1,6,1,30,2,28,6,30,1,6,1,30,1,28,33,30,1,28,3,30,2,28,10,30,1,28,5,30,1,6,1,28,1,30,1,28,1,30,2,6,1,7,1,30,1,6,9,30,1,7,1,6,1,30,2,6,2,29,1,6,1,29,1,30,1,6,6,29,1,30,1,6,1,30,2,6,1,30,6,6,1,30,7,29,1,6,1,30,1,6,1,30,1,6,2,29,1,30,1,29,1,30,3,6,1,30,1,6,2,29,1,30,1,7,1,29,2,6,1,29,1,30,1,6,3,13,1,6,1,29,1,6,2,13,3,6,1,7,1,6,1,7,3,13,3,6,1,13,4,9,1,13,2,7,1,8,1,13,3,8,1,13,1,6,2,7,1,13,1,6,1,13,1,6,1,7,1,13,1,6,3,13,1,7,2,13,1,7,2,8,1,9,1,17,4,11,1,12,1,17,1,9,1,8,1,9,1,8,1,6,2,13,2,6,5,8,1,13,1,7,1,13,2,8,1,13,1,8,2,9,3,11,3,9,1,11,1,17,1,11,1,16,1,17,3,9,1,29,1,7,1,6,1,30,2,28,3,30,2,6,1,30,2,28,1,30,1,28,7,30,1,6,1,13,1,6,1,29,2,6,2,30,1,6,2,29,1,6,7,29,1,6,2,30,1,6,1,13,1,6,3,29,1,6,2,30,1,29,2,6,2,13,1,30,1,6,7,7,1,30,1,13,1,6,2,13,1,6,1,30,1,7,1,6,1,13,1,30,1,29,1,6,1,7,1,30,1,6,1,29,1,30,1,6,2,13,1,6,3,30,1,6,3,30,1,6,1,30,1,6,2,29,1,6,3,7,1,6,1,30,1,13,1,6,1,7,1,13,3,6,1,7,1,6,1,13,2,7,1,13,1,29,1,13,1,6,1,13,1,6,2,7,2,13,1,9,1,6,1,13,2,6,1,13,2,7,1,13,1,7,1,13,5,6,1,13,3,7,2,13,2,6,1,13,5,6,3,13,1,7,1,13,1,6,2,13,1,7,1,13,5,6,1,7,1,13,5,7,1,13,1,6,1,8,1,6,1,28,7,30,1,28,17,30,2,28,1,6,1,29,1,30,1,6,1,29,1,30,1,28,1,30,2,28,1,30,3,29,1,30,5,7,1,6,2,29,1,6,1,13,1,6,1,8,1,9,1,13,1,30,1,9,2,16,1,28,16,16,1,17,1,16,1,9,1,8,1,7,1,28,1,13,1,30,1,28,1,30,1,7,1,30,1,28,9,30,1,6,1,13,1,8,1,13,2,9,2,17,2,6,1,28,6,8,1,11,1,13,1,28,2,30,1,28,39,8,1,6,1,30,1,28,2,9,1,16,1,9,2,13,1,29,1,13,1,9,1,13,3,9,1,11,2,17,1,10,1,28,6,6,2,28,9,30,1,28,7,}, {17,1,16,2,13,1,7,2,6,1,30,1,29,1,30,1,28,2,30,1,12,1,13,1,28,7,30,1,28,2,30,1,28,41,7,1,13,1,12,1,9,1,24,1,13,1,6,1,30,1,13,2,17,1,10,1,8,1,7,1,6,1,13,1,8,1,13,1,9,2,17,1,11,1,12,1,10,1,12,1,17,2,8,1,13,1,6,1,30,2,28,1,6,1,8,1,24,1,8,1,6,4,8,1,10,1,17,3,9,2,8,2,9,1,13,1,9,1,11,1,12,1,17,3,9,1,13,1,6,2,13,1,8,1,13,1,6,1,13,1,6,1,28,35,30,1,13,1,9,1,24,1,11,1,16,1,13,2,30,1,29,1,6,2,29,1,11,1,17,6,11,1,8,2,13,2,7,1,8,1,13,1,7,1,28,1,29,2,28,1,6,1,13,1,7,1,8,3,9,1,8,1,9,1,17,4,6,1,28,16,6,1,28,1,29,2,30,1,6,3,13,2,6,1,29,1,30,1,6,3,29,1,6,2,29,1,30,3,29,1,6,3,30,1,6,2,28,1,30,3,6,1,29,1,6,1,30,1,6,1,30,5,6,1,29,1,30,2,6,1,29,1,30,3,29,1,30,2,28,1,29,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,3,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,2,30,14,28,1,30,4,6,1,30,2,6,1,28,2,30,3,28,1,30,2,28,1,30,4,28,1,30,2,28,3,6,1,30,1,6,1,30,3,6,1,29,1,6,3,29,1,30,1,6,4,13,1,7,1,6,2,13,1,6,1,30,1,6,1,28,1,30,3,28,1,30,3,29,1,30,2,6,1,30,5,29,1,30,1,6,1,30,1,29,1,30,1,29,1,30,5,29,1,6,1,29,2,11,1,17,1,12,1,17,1,12,4,17,1,12,1,17,5,12,1,17,9,11,2,10,1,9,2,8,1,9,1,24,1,9,2,8,1,9,1,24,1,13,1,8,1,9,1,13,2,7,1,13,2,6,1,13,1,6,1,7,1,6,1,13,1,6,2,13,1,7,1,8,1,6,1,13,2,7,2,8,1,13,2,7,1,13,5,6,4,13,4,7,1,8,1,13,2,8,1,24,1,8,1,10,1,13,1,8,1,13,2,6,1,29,1,30,1,7,1,6,1,30,2,29,1,28,1,6,1,28,1,30,2,28,23,30,1,28,1,29,1,28,3,29,1,28,1,29,1,6,3,7,1,13,2,8,1,12,1,17,1,12,1,13,1,8,1,7,1,8,1,7,1,13,1,8,1,13,1,8,1,24,1,8,1,24,1,8,1,13,3,6,6,13,1,7,1,8,1,13,3,8,1,13,1,9,2,8,1,12,1,11,1,9,2,8,1,9,1,8,1,9,3,8,2,17,1,9,1,13,1,8,2,9,1,8,1,24,1,9,1,8,5,13,1,8,5,9,1,24,1,8,1,12,1,8,1,9,1,8,3,13,1,8,1,13,1,8,2,7,1,6,1,13,3,8,1,7,1,8,1,13,1,8,1,13,1,8,1,13,2,6,2,13,2,7,1,6,1,7,1,29,2,7,1,6,1,29,1,13,1,7,1,13,1,6,1,13,1,6,1,29,1,7,2,29,1,8,1,6,2,13,1,6,1,30,3,29,1,7,1,6,2,30,1,6,4,7,1,28,1,6,2,29,1,6,1,29,1,30,1,6,1,30,1,13,1,6,3,13,3,7,1,8,1,6,1,8,1,13,1,8,1,6,1,28,6,29,1,26,1,25,1,26,3,27,1,29,2,30,1,27,1,25,1,27,1,26,1,27,1,26,1,27,3,25,1,27,2,29,1,27,1,29,1,27,1,8,1,25,1,24,9,25,1,24,2,15,1,24,1,8,1,9,1,8,2,9,3,11,1,10,1,11,1,10,1,9,1,11,1,9,1,10,1,8,1,13,3,9,1,8,1,6,1,30,2,13,1,7,2,30,1,28,1,6,2,29,1,30,4,6,1,30,1,6,1,30,2,6,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,3,6,2,30,1,29,1,30,3,28,3,30,2,28,1,30,1,28,2,30,2,28,2,30,4,28,2,30,3,28,1,30,4,6,2,28,1,6,1,30,3,28,1,30,1,28,1,30,4,28,1,30,2,6,1,30,1,28,1,6,1,30,1,28,3,30,2,28,1,30,1,6,1,9,1,13,1,30,2,28,3,30,1,28,1,30,3,28,1,6,3,30,1,28,1,6,1,13,1,7,1,13,2,30,1,6,1,13,2,8,1,9,1,13,1,9,2,6,1,28,1,30,1,28,1,6,1,28,8,30,1,28,3,30,1,28,2,6,1,11,1,16,1,13,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,1,30,4,28,2,30,2,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,3,6,1,28,1,30,1,28,1,30,1,28,3,30,2,28,7,30,1,28,2,30,1,8,1,13,1,28,7,30,1,28,2,30,1,28,6,30,1,28,4,30,1,28,6,30,1,28,4,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,11,30,2,28,1,30,2,28,2,30,1,29,1,6,1,9,1,6,5,30,6,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,6,2,30,1,28,2,6,1,16,1,9,1,6,4,28,1,30,1,28,1,30,3,6,4,28,1,6,1,30,1,28,2,29,1,6,1,9,1,30,2,6,1,30,7,29,1,30,1,28,1,30,1,6,1,28,1,30,4,28,7,30,1,28,4,30,1,28,3,30,1,28,2,30,2,28,11,30,1,28,5,30,1,28,9,16,1,28,7,6,1,30,1,6,1,30,5,28,1,30,1,28,2,30,2,28,1,30,1,28,1,6,1,30,1,28,3,30,1,28,12,30,1,28,1,30,1,28,3,30,3,28,1,30,2,28,3,30,2,6,1,30,2,28,2,30,5,28,1,30,1,28,1,30,1,28,5,30,1,28,6,30,1,28,2,30,2,28,3,30,1,28,1,30,2,28,2,30,1,28,3,6,2,13,1,6,1,30,1,28,11,7,1,13,1,28,6,7,1,28,9,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,25,30,1,28,34,30,1,28,8,30,2,28,2,30,1,28,1,30,1,28,10,30,1,28,11,30,1,28,6,30,1,28,2,30,1,28,9,30,1,6,1,30,2,28,3,30,1,28,9,30,1,28,2,30,2,28,1,6,1,13,1,30,2,29,1,6,1,13,2,12,2,17,5,11,1,17,25,11,1,9,1,13,2,6,1,29,1,30,1,6,3,13,2,6,1,29,2,6,1,30,2,29,1,30,2,28,15,30,1,6,1,13,9,9,1,8,1,13,1,8,1,9,4,8,1,13,2,8,1,9,2,13,1,9,6,13,1,9,1,16,1,17,1,16,1,17,1,16,1,11,2,9,1,17,1,16,1,9,1,16,1,17,1,11,1,10,1,11,1,17,1,16,1,17,1,11,4,17,1,11,2,12,1,17,1,11,1,17,1,11,1,17,2,11,1,17,1,16,1,11,4,13,1,6,1,28,1,30,7,6,1,30,4,28,1,30,2,28,2,13,1,6,1,28,1,30,1,28,1,30,1,28,3,30,2,28,3,30,4,28,1,30,1,28,1,7,1,6,1,28,1,6,1,28,2,30,2,28,3,6,1,28,1,30,1,28,1,30,4,28,1,30,4,7,1,6,1,13,3,11,1,9,1,13,1,9,1,8,1,9,1,8,1,11,1,8,1,9,2,11,1,9,1,17,2,9,1,8,2,6,1,29,1,30,3,28,4,30,1,29,1,28,20,30,1,28,8,30,1,28,6,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,6,30,2,28,1,30,1,28,1,30,3,28,1,30,2,28,1,6,4,13,2,6,2,13,1,6,2,7,1,6,2,7,1,6,1,29,1,6,7,30,1,6,3,30,4,29,1,30,1,6,1,30,6,6,1,30,8,6,1,30,2,28,1,13,1,30,1,29,1,30,6,29,1,30,1,29,2,6,4,29,3,7,1,13,1,6,1,7,2,6,2,7,1,6,2,7,1,13,1,29,1,6,2,13,2,7,1,13,6,8,1,13,1,9,2,13,1,9,1,8,2,13,5,6,1,13,1,6,1,13,1,6,2,7,3,6,1,13,6,9,1,17,4,16,1,12,1,10,1,11,1,9,2,6,1,13,1,6,3,7,1,6,4,29,1,7,1,13,2,6,1,7,1,13,1,8,1,13,2,8,1,13,1,9,2,10,1,9,1,11,2,17,1,11,1,17,4,9,1,30,1,7,1,28,3,30,1,28,3,30,3,28,11,30,1,29,1,7,1,6,3,30,1,6,1,30,1,28,1,6,2,30,1,6,3,30,1,29,1,6,1,7,1,6,1,13,1,6,2,7,3,6,2,30,1,6,4,30,1,7,1,13,2,6,1,13,1,6,4,13,2,6,3,28,1,6,2,30,4,29,1,6,1,30,1,6,1,7,1,6,1,29,1,7,1,6,2,30,1,6,1,29,1,30,1,6,1,28,1,6,2,13,1,30,1,6,3,30,1,13,1,6,1,29,1,6,1,7,1,13,1,6,1,7,1,13,5,6,1,13,2,6,1,13,2,6,3,13,1,29,1,7,1,13,6,6,1,13,4,7,1,13,3,6,1,13,1,6,1,8,1,13,3,6,1,13,2,6,1,7,1,13,5,6,1,7,1,6,1,13,1,29,1,13,2,6,2,29,1,6,1,13,5,6,1,8,1,13,1,6,1,13,1,7,1,6,1,13,1,30,2,6,1,28,23,30,3,28,1,30,2,28,1,30,2,28,1,30,1,28,6,30,1,28,3,30,3,28,1,30,2,6,1,13,1,7,1,9,1,7,1,30,2,13,1,9,1,16,1,30,1,28,15,16,1,17,1,10,1,9,1,13,1,6,1,7,1,6,2,28,2,6,1,30,1,28,10,6,1,13,3,9,2,11,1,17,2,29,1,28,5,6,1,9,2,28,43,8,1,6,1,7,1,28,2,7,1,17,2,11,1,28,2,30,2,8,1,13,1,8,1,9,2,17,2,13,1,28,6,30,1,13,1,30,1,28,8,30,2,28,2,6,1,30,1,28,2,}, {17,2,9,2,8,1,30,1,13,1,28,2,30,2,29,1,7,1,13,1,24,1,28,53,8,1,12,1,9,1,8,1,6,2,13,1,28,1,13,1,9,1,8,1,13,4,6,1,8,2,11,4,10,1,9,1,12,1,9,3,6,1,28,1,30,1,28,1,6,1,8,1,9,1,13,1,7,2,6,1,13,1,6,1,17,6,9,2,13,1,8,1,13,1,9,1,11,1,17,3,9,1,8,1,6,2,7,1,30,1,6,1,13,1,8,1,6,1,28,36,7,1,9,2,17,2,8,1,13,1,30,1,6,2,29,2,11,1,17,6,11,1,13,1,8,1,24,1,13,1,24,1,6,1,13,1,6,1,30,3,13,3,6,1,9,1,13,2,9,2,10,1,17,3,11,1,28,17,30,3,28,1,6,1,30,1,6,3,7,2,6,2,30,1,6,3,30,1,29,1,6,1,30,1,29,1,30,1,6,1,30,3,29,2,30,1,29,1,30,1,29,1,30,1,6,1,28,1,6,2,28,1,30,2,28,1,30,4,29,1,30,2,29,1,30,1,6,1,30,2,29,1,30,2,28,1,30,1,29,1,30,2,28,2,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,2,30,7,28,1,30,4,28,2,30,1,28,2,30,4,29,1,28,2,30,4,29,1,30,2,28,2,30,3,6,1,28,1,30,3,29,1,30,3,29,2,30,3,28,1,30,1,28,4,30,1,28,2,30,3,6,1,28,2,30,2,28,1,30,3,6,7,13,1,6,3,7,1,13,1,30,1,13,1,7,1,6,1,28,1,29,1,30,2,28,1,30,8,29,1,30,2,6,1,30,2,29,1,30,1,29,1,30,2,28,1,6,2,30,2,29,2,30,3,13,1,9,2,10,1,12,1,17,1,12,1,17,16,12,4,11,2,9,3,13,1,9,1,24,1,8,1,9,1,8,1,7,1,6,1,8,1,13,1,9,1,8,1,9,1,8,1,13,3,8,1,13,1,29,1,6,1,8,1,30,1,7,1,13,1,10,1,13,6,7,1,8,2,6,1,13,2,8,1,13,2,7,1,13,3,7,1,13,1,8,3,10,1,9,1,13,1,8,2,13,2,7,1,13,3,6,1,30,1,28,1,6,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,19,30,1,28,2,30,1,28,2,30,1,29,2,30,1,29,1,30,1,13,1,6,1,7,1,13,2,9,1,10,1,17,1,12,1,9,1,7,1,13,1,8,6,13,1,24,1,10,1,13,1,7,2,30,1,13,1,7,1,6,1,7,4,6,1,13,2,30,1,6,1,7,1,13,1,6,1,8,1,9,1,11,2,9,1,10,1,17,1,10,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,8,1,9,2,8,8,24,1,8,3,24,1,13,2,8,1,24,1,8,1,13,2,8,1,13,8,8,2,13,5,7,1,8,1,13,1,7,1,13,1,6,1,13,1,6,1,13,2,30,1,6,1,7,1,13,1,6,1,8,1,7,1,13,1,6,2,7,1,6,1,29,1,30,1,6,3,13,1,6,4,7,1,6,1,29,1,6,1,30,1,6,1,29,3,6,1,29,1,6,1,29,2,6,4,30,2,6,1,7,1,30,2,28,1,29,2,13,1,6,2,7,1,13,3,8,1,13,1,7,1,28,6,30,1,29,1,27,1,26,1,27,1,29,1,30,1,29,2,30,1,27,1,25,2,27,2,29,1,25,2,8,2,27,1,26,1,27,1,29,1,27,3,25,1,24,1,25,3,24,2,25,1,24,2,25,3,24,3,7,1,13,1,10,1,24,1,10,1,16,1,11,1,9,3,10,1,8,1,11,2,9,1,11,1,9,4,13,3,6,2,13,1,6,2,30,1,29,2,6,1,30,1,6,1,30,2,29,1,30,2,28,1,30,4,28,1,30,9,28,3,30,5,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,4,6,1,28,3,30,3,28,2,30,1,28,1,30,2,28,2,30,5,6,1,29,1,28,2,30,1,28,7,30,5,28,2,30,1,28,1,30,2,28,2,6,3,30,2,28,2,30,1,28,1,30,1,28,2,30,1,13,1,9,1,17,1,16,1,17,1,16,1,11,1,16,2,9,2,8,1,11,1,17,1,16,2,11,1,16,1,17,4,13,1,28,1,30,1,28,4,29,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,29,1,17,1,16,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,7,28,4,30,2,28,1,30,3,28,1,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,2,28,2,30,2,28,11,30,1,9,1,6,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,3,30,1,28,7,30,1,28,11,30,1,28,2,30,2,28,3,30,1,28,5,30,1,28,9,30,1,28,1,30,2,28,7,30,2,6,3,30,5,6,1,30,7,28,2,30,1,28,1,30,1,28,1,6,2,29,1,28,1,6,1,29,1,6,1,8,1,9,1,6,1,28,1,13,1,6,1,29,1,30,2,28,1,30,1,28,5,29,1,28,5,30,1,28,1,7,1,6,1,30,1,29,1,30,1,28,1,30,1,28,2,30,2,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,8,30,1,28,2,30,2,28,2,30,2,28,14,30,1,28,8,30,2,28,1,29,1,9,1,28,7,29,1,28,6,30,1,28,5,30,1,28,6,30,1,28,18,30,1,28,1,30,7,6,2,30,3,28,3,30,1,28,7,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,7,30,1,28,1,6,1,30,1,28,4,30,1,28,7,30,1,28,2,9,1,6,2,28,1,30,1,28,2,30,1,28,9,30,1,28,4,30,1,28,1,30,2,28,10,30,3,28,5,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,5,30,1,28,3,30,1,28,2,30,1,28,8,30,3,28,2,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,6,30,1,28,7,30,1,28,5,30,1,28,5,30,2,28,10,30,1,28,4,30,1,28,7,30,1,28,1,30,1,28,4,30,3,28,15,30,3,28,1,30,2,28,2,29,1,13,1,24,1,9,1,10,1,16,1,11,1,17,1,16,1,17,22,12,1,9,1,8,2,13,2,30,3,29,1,30,2,28,1,30,3,28,1,30,2,28,2,30,3,28,17,6,1,13,5,8,1,7,1,13,2,9,1,8,2,9,2,8,1,9,2,13,1,9,1,13,1,9,4,11,1,9,1,11,1,9,2,11,1,8,1,11,1,17,5,11,1,9,1,11,1,17,1,11,2,10,1,11,2,16,3,17,1,16,1,17,1,11,1,9,2,11,3,17,1,11,2,17,5,11,2,10,1,11,3,13,1,7,1,30,3,28,1,30,13,11,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,2,30,3,6,1,29,1,30,2,28,1,29,1,30,1,6,2,30,1,28,1,30,2,6,1,30,1,28,1,6,1,28,1,30,3,6,1,28,1,30,1,28,1,30,3,28,1,30,3,13,1,6,1,7,1,13,1,8,1,13,3,8,1,9,2,11,1,9,4,11,3,17,2,11,1,9,1,6,1,29,1,28,1,30,2,28,3,30,1,28,1,6,1,28,27,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,1,6,1,28,2,29,1,28,11,30,2,28,1,30,1,29,1,30,1,6,1,30,1,6,1,13,1,29,1,6,1,7,1,13,1,6,1,29,1,6,3,30,2,6,3,30,1,6,1,28,1,6,4,28,1,30,1,6,1,7,1,30,4,29,1,6,1,29,1,30,1,29,1,28,1,30,2,28,1,30,1,6,1,29,1,28,1,6,1,29,1,28,1,6,2,29,2,28,1,13,1,6,1,28,1,30,2,29,1,6,1,30,4,29,1,6,1,13,1,30,1,29,1,6,2,30,1,7,1,30,1,6,2,13,1,6,2,7,1,6,1,7,1,29,1,13,1,6,1,13,1,7,1,13,1,29,1,13,1,8,1,13,3,8,1,13,1,8,1,13,1,9,1,7,1,9,1,8,1,13,3,9,1,13,3,7,1,6,1,13,2,29,1,7,1,6,3,13,2,6,1,13,1,6,2,8,1,9,1,17,3,11,4,8,1,13,1,7,1,30,1,29,1,6,2,13,1,7,1,6,2,29,1,6,3,7,1,13,1,8,1,7,1,13,1,8,1,7,1,13,2,6,1,8,2,9,3,11,3,12,2,17,3,8,1,28,1,30,2,28,7,30,1,28,2,6,1,28,4,30,1,28,6,6,2,13,1,29,1,6,1,30,1,6,6,29,1,6,2,29,1,6,2,7,1,6,2,29,1,30,1,6,1,29,1,28,1,6,1,13,1,30,1,6,1,30,1,6,2,30,1,6,1,29,1,6,3,30,1,6,1,13,1,6,3,28,1,6,1,30,1,6,1,29,1,6,2,29,1,6,1,29,1,6,3,29,1,6,1,30,1,6,1,13,1,7,2,6,1,7,1,30,1,7,1,6,2,30,2,13,1,30,1,6,2,30,1,28,1,7,1,6,1,13,1,30,2,13,2,6,1,13,2,6,1,13,2,7,2,6,1,13,2,6,1,13,1,30,1,29,1,13,2,7,1,13,2,9,1,13,4,7,1,13,3,6,2,13,3,6,1,13,1,6,1,13,2,6,2,8,1,6,1,13,5,8,1,13,2,6,1,7,1,13,1,7,1,6,1,7,1,13,1,7,1,13,1,6,1,13,1,7,1,8,1,13,3,6,1,13,1,6,1,13,3,6,2,28,24,6,1,28,1,30,2,28,1,30,1,28,3,30,1,28,4,30,1,28,1,6,1,30,1,28,1,30,1,28,2,30,1,6,4,7,1,13,3,6,1,30,1,6,1,13,1,16,1,9,1,6,1,28,15,16,1,17,1,8,2,13,3,7,1,6,2,28,12,6,2,13,2,9,2,11,1,17,3,29,1,28,4,30,1,29,1,10,1,8,1,29,1,28,1,29,1,28,40,6,2,30,1,28,2,13,1,17,2,8,1,28,1,30,2,13,1,6,1,13,1,10,1,11,1,16,1,17,2,13,1,28,6,6,1,7,1,30,1,28,13,29,1,28,2,}, {17,2,16,1,9,1,24,1,13,1,6,1,28,1,30,1,28,3,29,1,12,1,13,1,28,30,30,1,28,10,30,1,28,3,29,1,28,6,6,1,8,2,12,1,13,1,7,1,29,1,6,3,9,1,11,1,24,1,13,4,6,1,9,2,17,1,11,1,12,1,17,1,12,1,16,1,10,1,9,1,8,1,29,2,28,2,6,1,7,1,13,1,8,1,7,1,6,1,7,2,30,1,16,1,17,4,11,1,9,1,10,1,13,1,8,1,13,1,7,1,10,1,17,3,12,1,13,1,6,1,29,1,6,1,30,1,29,1,7,1,8,1,28,37,6,1,8,1,12,1,11,2,9,1,29,2,6,1,30,1,6,1,30,1,9,1,17,4,11,1,17,1,16,1,11,1,9,2,8,2,30,1,6,1,29,1,30,1,6,1,29,1,30,1,13,2,8,1,6,1,8,2,13,1,9,1,12,1,17,4,28,17,30,4,29,1,30,1,6,3,29,1,7,1,6,2,7,1,30,1,6,1,30,1,13,1,28,1,30,3,29,1,30,1,6,2,30,4,28,1,30,2,29,1,30,2,28,1,30,4,6,1,29,1,30,2,28,1,30,3,29,1,6,1,30,1,6,1,30,1,28,1,6,1,29,1,30,1,29,1,28,1,30,1,28,1,29,1,30,1,28,1,30,4,28,1,30,1,28,1,29,1,28,1,30,3,28,1,30,1,28,3,30,3,28,2,30,4,28,1,30,1,28,2,30,1,28,3,30,2,28,3,30,1,28,2,30,4,28,1,30,1,28,2,30,6,29,1,28,1,30,4,28,2,30,1,28,1,30,2,28,1,29,1,30,3,28,1,30,1,28,5,30,1,28,2,30,1,6,2,29,1,6,1,7,1,6,1,29,1,13,1,30,2,6,2,30,1,13,1,6,1,13,1,6,2,28,3,30,1,28,2,30,1,28,1,30,1,29,1,28,1,29,1,30,1,29,1,30,4,6,1,30,8,29,1,30,4,6,2,9,1,17,2,12,3,17,1,12,2,17,11,12,1,17,3,11,1,12,1,10,1,9,3,10,1,24,1,9,2,8,1,13,1,8,1,7,1,8,1,13,1,7,1,6,1,13,1,7,1,13,1,29,1,6,2,7,1,6,1,13,4,6,1,7,2,13,2,6,1,13,4,8,3,24,1,6,1,13,2,7,1,8,1,6,2,13,1,6,1,13,1,8,1,13,1,24,2,9,1,11,2,9,1,8,2,7,1,13,3,6,1,29,1,6,2,30,2,6,1,30,1,29,2,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,14,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,6,1,13,1,29,1,6,1,13,4,10,1,17,1,12,1,8,2,13,1,8,1,24,1,13,1,7,1,8,1,7,1,8,1,13,1,7,1,6,1,7,2,9,1,13,1,29,1,30,1,29,1,7,1,6,1,7,1,6,1,8,1,7,1,6,5,7,1,13,1,9,1,10,1,17,1,11,1,9,1,10,1,9,2,8,1,10,2,9,1,8,1,9,3,8,1,24,1,9,1,13,1,8,1,13,1,9,1,13,2,8,1,24,1,13,1,9,1,13,1,24,1,9,2,24,1,9,1,8,1,13,1,8,2,13,2,6,1,13,1,8,1,6,1,8,1,13,1,7,1,13,2,8,2,13,1,7,1,13,3,8,1,13,1,7,2,8,1,7,1,13,2,7,1,6,2,7,2,13,1,6,1,7,1,13,1,30,1,6,1,7,1,29,1,6,2,7,1,29,1,7,1,30,1,6,1,29,1,6,2,7,1,29,1,7,1,6,4,30,1,6,1,30,1,6,1,30,1,7,1,29,3,6,1,29,1,6,2,7,1,6,2,7,1,6,1,13,5,8,2,30,1,28,4,30,1,28,2,27,2,26,1,30,1,28,1,29,1,28,2,29,1,30,1,27,1,26,2,27,1,26,1,8,1,27,1,25,1,27,1,25,1,27,2,30,1,27,1,26,1,29,1,27,1,24,1,8,1,24,2,25,1,26,1,25,1,8,4,24,1,25,1,24,2,8,2,24,1,9,1,17,1,16,1,9,2,8,1,9,1,8,2,9,1,8,1,13,1,9,1,13,1,7,1,13,2,6,1,13,1,6,1,9,2,13,1,29,1,7,1,30,1,6,1,29,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,6,2,30,3,28,1,30,4,29,1,30,1,28,1,30,1,28,1,30,1,8,1,16,1,13,1,28,1,30,1,29,1,28,1,30,2,28,1,30,1,28,1,30,2,28,6,30,1,28,1,30,3,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,6,1,30,2,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,3,30,2,6,1,30,1,29,1,30,4,28,2,30,1,6,2,7,1,11,2,13,5,6,1,13,1,6,4,28,1,30,1,28,1,30,2,6,1,29,1,13,1,16,1,17,1,13,1,28,1,30,3,28,2,30,1,28,9,6,1,17,1,9,1,6,1,28,2,30,2,28,1,30,2,6,1,28,1,6,1,28,1,30,3,6,1,30,2,28,3,30,3,28,1,30,1,28,1,30,2,28,3,30,3,28,4,30,1,28,9,30,2,29,1,28,1,30,1,13,5,28,1,30,1,28,3,30,1,28,2,30,1,6,1,28,1,30,1,28,3,30,1,28,7,30,1,28,4,30,1,28,1,30,1,28,8,6,1,28,10,30,1,28,1,30,1,28,1,30,1,28,8,30,1,28,1,30,5,28,7,6,3,29,1,30,2,28,1,30,3,28,1,30,2,28,1,30,3,29,1,28,1,30,1,6,1,30,2,6,1,28,1,30,3,28,1,30,1,9,2,6,1,29,1,30,3,28,1,30,2,28,1,30,2,28,3,30,1,28,2,29,1,30,1,28,1,30,1,28,2,13,1,28,1,30,1,28,1,30,4,28,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,8,30,1,28,4,30,1,28,2,30,1,28,8,30,1,28,9,30,1,28,8,30,1,13,1,28,4,30,1,28,2,30,1,28,12,30,1,28,2,30,1,28,1,30,1,28,20,30,1,28,1,30,5,6,1,28,2,30,1,28,1,30,1,28,5,30,1,28,9,30,1,28,2,30,1,28,8,30,1,28,15,6,1,28,11,30,1,28,4,9,1,11,1,28,5,30,1,28,29,30,1,28,13,30,1,28,7,30,1,28,14,30,1,28,3,30,1,28,6,30,2,28,3,30,1,28,1,30,1,28,2,30,1,6,1,28,1,30,2,28,5,30,1,28,1,30,1,28,3,30,2,28,2,30,1,29,1,28,2,30,1,28,1,29,1,28,4,30,1,28,1,30,1,28,1,30,2,28,6,30,2,28,2,30,1,28,9,30,1,28,1,30,1,28,8,30,1,28,1,30,1,28,3,30,1,28,10,30,1,28,2,30,3,28,8,29,2,13,2,11,1,10,1,17,1,12,1,17,18,16,1,9,1,11,1,9,1,13,2,6,1,30,1,6,2,30,2,28,1,30,1,28,6,30,1,28,1,30,3,28,1,30,3,28,16,30,1,13,3,6,3,8,1,13,2,8,2,13,1,11,1,9,1,8,1,13,1,8,2,13,1,8,1,9,3,10,1,9,2,11,3,9,3,17,2,11,1,17,1,11,3,9,1,17,4,9,1,17,1,11,3,17,1,16,1,17,1,11,2,16,1,17,1,16,1,17,4,16,2,17,4,11,2,12,1,11,2,10,1,13,1,6,2,29,1,30,2,28,1,30,5,29,1,30,1,29,1,30,1,28,1,6,1,9,1,28,7,30,1,28,5,30,3,29,1,6,1,30,1,6,1,29,1,30,1,29,1,30,10,28,1,6,1,30,2,28,1,30,1,28,1,30,3,6,1,30,1,6,1,7,1,13,1,6,1,13,4,9,1,8,2,9,2,11,1,8,1,10,1,11,2,10,1,11,1,16,1,12,1,9,1,13,1,6,1,28,1,30,2,28,4,13,1,30,1,28,36,30,1,28,6,30,1,28,7,30,1,28,2,30,1,28,2,30,1,28,1,29,1,30,1,6,1,30,1,6,1,29,1,6,1,13,1,6,1,7,2,6,3,30,1,13,1,30,1,7,1,6,1,7,2,30,2,13,1,6,2,30,2,6,2,30,1,6,1,13,1,28,1,6,1,30,1,6,1,29,1,30,2,28,1,30,2,29,1,28,1,29,1,6,2,30,1,29,1,6,1,30,4,6,2,30,7,29,1,28,1,7,1,30,2,6,1,30,2,6,2,29,1,13,1,30,1,13,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,30,1,13,1,7,1,8,1,13,1,6,1,7,1,13,7,8,1,13,2,8,1,13,1,8,3,13,1,8,1,13,4,6,2,29,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,4,17,3,10,1,12,1,9,1,13,1,7,1,6,2,7,1,30,1,6,2,7,3,6,6,7,1,13,12,9,3,11,1,12,1,11,1,16,1,17,3,6,1,28,2,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,11,30,1,6,1,30,1,13,2,29,1,6,3,30,1,29,1,6,2,13,1,6,1,13,1,6,1,7,1,6,2,13,1,6,1,7,2,6,6,30,1,7,1,6,1,7,1,29,1,7,1,13,2,6,1,13,2,29,1,6,1,13,1,6,3,30,1,6,3,30,1,6,2,7,1,29,1,13,1,6,1,30,1,6,1,29,1,6,2,30,2,6,1,29,1,30,2,7,1,30,1,6,1,30,2,6,2,13,2,6,2,7,1,6,1,7,1,6,1,30,1,6,3,13,1,6,2,13,1,7,1,13,1,6,1,7,3,6,4,13,2,7,1,8,1,13,1,7,1,13,1,6,1,13,3,6,1,7,2,13,1,6,2,13,1,6,1,13,1,6,1,13,1,7,1,13,6,8,1,13,3,6,1,13,1,6,3,29,1,13,3,6,2,13,1,8,1,6,2,13,1,8,1,6,1,13,1,6,1,13,1,6,2,7,1,6,1,30,1,28,25,30,5,28,6,30,1,28,7,30,4,6,2,30,2,13,1,6,1,29,1,30,1,6,1,13,2,9,1,13,1,28,15,14,1,17,1,9,2,6,2,28,1,7,1,29,1,6,1,30,2,28,10,29,1,13,1,6,1,13,1,9,2,10,1,17,3,6,1,28,5,30,1,24,1,9,1,7,1,28,1,30,1,28,39,30,1,13,1,6,1,28,3,16,1,17,2,10,1,28,2,6,1,30,1,6,1,13,1,10,1,11,1,16,1,11,1,17,1,7,1,28,6,7,1,6,1,28,11,30,1,28,1,30,1,28,3,}, {17,4,8,1,6,3,28,2,30,1,28,1,30,1,17,1,9,1,28,25,30,1,28,16,30,1,28,8,30,2,13,1,24,1,17,1,9,1,6,1,30,1,6,1,28,1,29,1,10,1,12,1,13,2,6,2,13,3,9,1,12,1,17,1,11,1,17,1,16,1,17,2,11,1,8,1,6,1,28,1,29,1,30,2,13,1,9,1,8,1,6,1,13,1,6,3,11,1,17,4,12,1,11,1,12,1,13,3,9,2,16,1,17,2,16,1,9,1,13,1,6,1,7,1,6,3,8,1,30,1,28,36,6,1,9,3,10,1,8,1,29,1,30,2,29,1,28,2,13,1,17,7,9,2,8,1,9,1,13,2,6,2,28,3,8,1,24,1,13,1,8,1,13,1,8,1,13,1,24,1,9,1,10,1,9,1,11,1,17,2,30,1,28,18,30,2,29,1,30,1,6,1,13,1,6,3,30,1,6,1,29,1,30,1,6,1,29,1,6,1,13,1,29,2,30,1,6,1,30,2,28,1,30,2,29,1,28,1,30,5,29,1,30,4,28,1,30,1,6,1,30,9,6,1,30,1,28,1,30,3,6,3,28,1,30,2,28,1,30,1,28,1,30,8,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,29,1,28,1,30,5,28,1,30,1,28,1,30,1,28,2,30,5,28,1,30,1,28,1,30,3,6,1,30,3,28,1,29,1,30,3,28,1,30,4,28,1,30,1,28,1,30,4,28,2,29,1,30,1,28,1,29,2,6,2,29,1,7,1,29,1,13,2,6,1,13,1,7,1,13,1,7,1,13,1,7,1,6,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,10,28,1,30,2,28,1,29,1,30,3,29,2,7,1,9,1,12,1,17,6,10,1,17,8,12,1,17,3,11,1,12,2,17,1,12,1,10,1,12,1,10,1,8,1,9,1,8,1,9,1,13,2,8,1,13,5,6,1,13,1,7,1,30,1,6,4,7,2,6,1,29,1,30,1,6,1,29,1,7,1,13,1,6,1,7,1,13,1,29,1,13,1,7,1,13,6,6,1,7,1,6,1,8,1,13,1,6,1,7,1,8,1,13,1,8,1,13,1,9,1,8,1,10,1,8,1,13,1,8,2,7,1,13,1,6,3,30,1,29,1,6,1,30,3,29,1,30,1,28,3,29,1,28,2,30,1,28,3,30,1,28,7,30,1,28,12,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,7,1,13,2,9,1,17,1,12,1,9,1,8,2,13,3,6,1,13,1,6,1,7,1,13,1,8,1,7,1,13,1,6,1,29,1,7,2,6,6,13,2,6,1,29,2,30,1,6,2,13,1,8,2,10,1,11,1,10,1,11,1,8,2,10,1,8,1,9,2,8,1,10,1,13,1,8,4,13,1,9,2,8,2,9,1,8,1,9,1,13,2,8,2,13,1,8,1,13,9,7,1,13,1,7,1,13,1,24,1,13,1,7,1,13,2,7,1,13,6,7,1,13,3,7,1,13,1,6,1,8,1,6,1,8,1,13,1,9,1,13,1,7,2,13,2,7,1,6,2,29,1,6,4,29,2,6,1,29,1,6,2,7,2,6,2,29,1,7,1,30,1,6,3,29,1,30,1,6,1,7,1,30,1,13,1,29,1,6,1,29,1,30,1,6,2,7,1,6,1,13,2,8,1,13,1,8,1,6,1,28,5,30,1,28,1,30,2,27,4,29,1,30,1,28,2,30,2,27,1,25,1,27,1,26,2,25,3,26,1,25,1,27,3,26,1,27,2,25,1,24,5,25,1,8,1,24,2,25,1,8,1,24,1,8,2,25,1,6,1,24,1,7,1,11,1,9,1,11,1,16,1,13,1,7,1,6,2,30,1,29,1,6,2,13,1,6,1,30,1,6,1,30,1,13,5,11,1,6,1,30,2,6,1,30,2,28,3,30,1,28,1,29,1,30,5,6,1,28,1,30,1,6,1,30,1,29,1,30,1,28,1,30,1,28,2,30,1,11,1,17,2,28,1,30,1,29,1,28,2,30,2,29,1,28,1,29,1,28,2,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,2,6,2,30,2,6,1,29,1,30,2,28,10,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,3,6,1,13,2,7,1,9,1,6,2,30,3,6,1,28,2,30,1,28,1,30,2,28,2,6,1,30,3,28,1,30,1,6,1,10,1,17,1,30,1,28,2,30,1,28,4,30,2,28,1,30,1,28,1,30,2,6,1,28,1,16,1,8,1,28,1,30,4,28,3,30,2,6,1,30,2,6,1,28,1,29,1,6,1,28,1,30,1,28,5,30,1,28,6,6,2,30,1,28,6,30,1,6,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,13,1,6,1,30,1,6,1,28,3,30,1,28,6,30,5,28,13,30,1,28,1,30,3,28,6,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,4,6,1,28,5,30,1,28,10,30,1,28,8,30,1,28,1,29,1,30,1,28,2,30,4,28,1,29,1,30,1,28,1,30,5,29,1,28,1,30,2,29,1,30,1,28,1,30,1,28,1,30,3,9,1,13,1,30,4,6,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,13,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,29,1,30,1,28,11,30,1,28,2,30,1,28,12,30,2,28,7,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,4,30,2,13,1,28,15,30,1,28,4,30,3,28,1,30,1,28,5,30,1,28,7,30,1,28,3,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,29,1,28,1,30,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,2,30,1,28,18,30,1,28,7,13,1,28,16,11,1,9,1,28,5,30,1,28,8,30,1,28,9,30,1,28,3,30,1,28,5,30,1,28,20,30,1,28,9,30,2,28,3,30,1,28,6,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,5,30,2,28,3,30,1,28,4,30,2,28,3,30,3,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,2,28,9,6,1,28,3,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,4,30,1,28,3,30,1,28,3,13,1,6,1,30,1,28,4,30,1,28,3,30,1,28,4,30,2,28,1,30,8,28,4,30,3,6,2,7,1,13,1,8,1,13,1,9,1,16,1,10,1,9,1,8,1,9,1,10,1,9,2,11,1,8,1,9,1,8,1,13,1,9,1,13,1,8,1,13,2,6,1,30,1,28,1,6,1,30,1,28,1,30,1,28,9,30,1,28,2,30,8,28,17,29,1,13,2,6,1,13,1,8,1,13,2,8,1,13,2,9,1,13,2,9,1,13,1,8,4,13,1,9,1,17,1,10,1,9,1,10,1,9,1,11,1,9,1,16,1,9,1,13,1,10,1,16,1,17,2,11,1,9,2,8,1,11,1,17,1,11,1,10,1,9,1,11,4,16,1,17,5,11,1,17,2,11,1,10,1,16,1,11,1,17,2,16,1,12,1,17,2,11,1,9,1,17,1,12,1,11,1,9,1,7,1,30,2,28,2,30,3,28,1,29,1,30,4,28,2,11,1,6,1,30,3,28,1,30,1,28,1,30,1,28,3,30,2,28,1,30,3,28,1,30,2,6,1,30,1,29,2,30,3,28,1,30,2,29,1,28,2,30,2,6,2,30,2,28,1,30,5,6,1,30,2,6,1,13,3,8,2,9,1,8,1,10,1,8,1,11,1,9,1,10,1,9,2,11,1,9,1,11,4,9,1,8,1,30,1,6,1,30,1,28,2,30,2,7,1,30,1,28,26,30,1,28,7,29,1,28,7,30,1,28,9,29,1,30,1,28,1,30,2,28,1,30,1,6,1,29,1,6,1,30,1,6,2,30,1,13,1,30,1,13,1,7,2,6,1,13,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,7,2,29,1,6,1,30,1,29,1,6,1,30,1,6,1,28,1,30,3,6,1,30,1,28,1,30,5,6,6,13,1,29,1,30,2,6,2,13,1,6,1,30,1,6,2,29,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,29,1,6,1,30,1,6,4,13,1,6,4,7,1,6,2,29,1,13,4,7,1,6,1,13,1,7,1,8,1,7,1,13,1,9,1,7,1,13,2,8,3,13,1,8,1,13,5,6,2,13,1,6,1,7,1,6,3,13,2,6,2,13,4,9,1,17,4,9,2,13,2,6,1,13,1,29,1,6,2,13,1,7,3,6,3,29,1,6,1,30,1,6,2,13,1,7,1,6,1,13,2,6,1,13,2,7,1,13,2,9,1,11,1,9,1,8,1,9,1,10,1,11,1,17,4,30,1,28,1,6,1,30,1,28,11,30,1,28,10,30,1,28,3,6,1,13,1,8,1,6,1,7,1,6,4,7,1,30,1,13,1,6,2,30,1,29,1,13,1,6,4,29,1,6,2,29,3,6,1,30,2,7,1,6,4,7,1,13,1,7,1,6,3,28,1,30,1,7,1,29,1,6,2,13,1,30,1,13,1,30,1,7,1,6,3,29,1,6,2,30,1,6,10,30,1,7,1,6,3,30,1,6,6,7,1,6,1,13,2,6,2,13,1,6,9,7,1,6,1,13,2,6,1,8,1,13,6,6,1,7,2,6,1,13,2,6,1,13,3,6,1,13,1,6,1,13,1,29,1,13,1,30,2,7,1,13,2,6,1,7,1,13,1,6,1,13,1,6,1,13,1,7,3,13,12,6,1,8,1,13,2,29,1,30,1,28,23,30,1,28,3,30,1,28,16,30,3,28,1,6,1,29,1,6,3,30,1,28,1,30,2,7,1,13,2,30,1,28,15,14,1,17,1,9,1,8,2,6,6,30,2,28,9,29,1,13,2,9,1,11,1,9,1,17,4,30,1,28,5,13,1,9,1,13,2,28,41,30,1,13,1,30,1,28,3,9,1,17,2,13,1,28,2,6,2,13,1,8,1,9,2,11,2,17,1,30,1,28,5,30,1,6,2,28,10,29,1,28,2,30,2,28,2,}, {17,4,8,1,9,1,13,1,28,1,30,1,29,1,28,3,9,1,8,1,6,1,28,50,30,1,6,1,7,1,8,1,17,1,13,2,28,1,7,2,6,1,13,1,11,1,13,1,8,1,13,2,6,2,9,2,17,4,16,2,17,1,16,1,10,1,8,1,28,1,30,1,28,1,30,1,8,2,13,2,6,3,7,1,9,1,17,6,10,2,8,1,9,2,16,2,17,2,16,1,6,1,13,1,6,2,30,1,6,1,8,1,6,1,7,1,28,36,6,1,8,2,12,1,10,1,13,1,7,1,28,1,30,1,6,1,30,1,28,1,6,1,17,8,16,1,13,2,9,1,13,2,28,1,30,2,13,2,8,1,13,1,8,1,24,1,8,2,13,1,8,2,12,1,10,1,11,1,16,1,30,1,28,16,6,1,30,1,28,1,30,1,6,1,28,1,13,1,7,1,6,1,13,1,6,5,28,1,30,3,6,1,30,1,28,1,30,1,6,1,28,1,6,1,30,2,28,3,30,1,28,1,30,1,28,1,6,1,30,1,6,1,28,2,6,1,29,1,28,2,30,1,28,1,29,1,6,2,29,1,6,1,30,1,28,1,6,1,30,1,13,1,6,1,28,1,6,1,30,1,6,1,29,1,28,1,29,1,6,1,28,3,6,1,30,7,28,1,30,1,28,3,29,1,28,1,30,1,28,2,30,4,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,5,28,2,30,2,28,2,30,2,28,1,30,2,28,1,30,2,28,2,30,1,28,1,6,1,28,1,30,4,29,1,30,5,28,1,30,4,28,3,30,1,28,2,30,2,28,1,30,4,6,2,30,1,6,1,29,1,30,1,13,1,30,1,6,2,29,1,7,1,6,1,13,1,6,1,30,7,28,1,30,1,28,2,30,2,28,1,30,2,29,1,30,1,28,2,30,2,6,2,30,5,6,1,30,2,6,1,24,1,17,22,12,1,17,1,12,1,11,2,12,1,9,2,8,1,9,1,13,1,9,1,13,3,8,1,13,2,7,2,6,2,13,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,13,3,7,1,13,3,7,1,13,1,7,1,13,10,30,1,13,1,7,1,13,2,6,1,13,1,8,1,10,1,24,1,8,3,24,1,13,2,8,1,6,1,13,1,7,1,6,2,29,1,28,1,30,1,6,1,30,2,28,6,30,1,28,9,30,1,28,1,30,1,28,3,30,3,28,1,30,1,28,2,30,1,6,1,30,1,6,1,29,1,30,1,28,1,6,1,28,1,6,3,13,1,6,1,8,1,13,1,12,1,17,1,13,4,8,1,13,1,6,1,13,1,8,1,13,2,7,1,8,1,6,3,7,1,6,3,7,1,6,1,30,1,6,1,13,1,24,1,7,1,6,1,7,1,6,3,7,1,6,1,8,1,9,1,10,1,9,2,11,1,9,1,10,1,8,1,10,1,8,1,9,2,13,1,9,2,13,1,9,1,8,2,9,1,24,1,13,1,9,1,8,1,13,1,8,1,24,1,8,2,13,1,8,1,13,1,8,1,13,1,24,1,13,1,8,1,13,4,8,1,13,4,8,1,6,1,13,2,7,2,13,1,7,1,8,1,13,1,7,1,13,1,7,1,13,4,29,1,6,2,7,1,13,1,29,1,7,1,6,2,13,1,6,1,13,1,6,2,7,1,6,3,7,1,29,1,6,1,29,1,6,3,30,1,6,2,30,1,6,2,30,1,6,1,30,2,6,3,30,1,29,1,6,5,13,3,7,1,13,2,11,1,13,1,28,8,29,1,27,1,26,2,29,1,6,2,28,3,29,2,25,1,26,1,29,1,25,2,27,1,26,1,30,1,27,3,25,1,27,2,26,2,8,2,24,3,25,3,24,1,25,1,26,1,25,1,24,2,25,1,6,1,29,1,30,1,13,1,8,1,13,1,6,6,13,1,6,2,13,1,6,2,29,1,30,1,7,1,13,2,30,1,13,1,30,1,13,2,30,2,6,1,30,6,6,2,29,1,6,1,30,1,29,1,28,1,30,2,29,1,30,1,6,1,29,1,30,1,28,1,30,1,28,1,6,1,28,1,9,1,17,1,11,1,6,2,28,2,6,1,30,2,29,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,4,28,1,30,1,28,1,30,2,29,1,30,1,29,1,28,3,30,1,28,3,30,1,28,2,30,1,28,14,30,1,28,9,13,1,10,1,13,3,29,1,6,1,28,5,30,1,28,1,30,3,28,1,13,2,30,1,6,1,30,1,6,2,8,1,17,1,28,1,30,5,28,2,30,1,28,1,30,1,28,1,30,2,28,1,13,1,29,1,6,1,7,1,6,1,29,1,28,3,30,1,28,2,30,2,6,1,30,4,29,1,30,1,28,2,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,3,28,1,30,1,28,1,30,1,28,2,30,1,13,1,6,1,28,1,30,1,28,2,30,1,28,4,30,1,28,2,30,3,6,1,30,3,28,3,30,1,28,5,6,1,30,1,28,15,30,1,28,14,30,1,28,11,30,1,28,2,30,1,6,1,28,5,16,1,13,1,30,2,28,3,30,2,29,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,1,6,1,30,3,28,2,30,2,28,2,11,1,13,1,30,2,6,1,30,1,6,1,28,1,30,1,28,3,30,1,28,1,30,1,28,6,30,1,28,2,30,1,13,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,7,30,1,28,16,30,1,28,1,6,1,30,1,28,9,30,1,28,5,30,1,28,4,30,1,28,7,6,1,28,6,6,1,28,4,30,1,28,1,30,1,28,8,30,2,28,1,30,1,28,1,6,1,28,2,30,2,28,2,30,1,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,1,6,4,30,2,13,1,30,2,6,1,28,1,30,2,28,2,6,1,28,2,30,1,28,2,6,1,28,19,30,2,28,2,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,16,17,1,28,7,30,1,28,7,30,1,28,5,30,1,28,7,30,1,28,14,30,1,28,26,30,1,28,11,30,1,28,7,30,1,28,1,30,1,28,6,30,1,28,2,30,2,28,2,30,1,28,2,30,3,28,3,30,1,28,1,30,3,28,2,30,2,28,3,30,4,28,1,30,1,28,2,30,1,28,5,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,13,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,5,30,2,6,1,28,1,30,1,28,7,30,1,28,2,30,4,6,2,28,1,6,1,30,3,28,1,30,1,13,1,6,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,17,29,2,30,1,28,1,30,1,28,16,30,1,7,1,13,1,6,1,13,1,8,1,13,1,7,1,13,3,9,4,13,1,8,1,13,2,9,1,13,1,8,1,9,1,11,1,9,1,13,1,9,1,11,1,8,1,11,1,9,2,11,2,17,2,9,1,8,1,9,3,12,1,17,1,11,1,16,1,9,1,11,2,16,1,17,1,11,1,17,1,16,1,17,1,11,2,12,1,11,2,17,1,12,1,11,1,17,7,11,3,12,1,10,1,9,1,13,1,30,2,6,1,30,1,28,2,6,1,30,1,28,1,30,2,29,1,30,1,17,1,13,1,28,2,30,1,28,1,6,1,30,2,28,2,30,1,28,2,30,4,28,2,30,2,7,1,28,2,29,1,30,4,29,1,28,1,30,2,6,1,28,6,29,1,30,2,28,2,30,1,29,1,30,2,6,1,30,1,13,2,9,1,8,1,13,1,9,2,8,1,9,3,10,1,9,1,10,1,11,1,9,1,11,1,9,3,10,1,8,1,10,1,6,2,28,3,6,2,28,39,30,1,28,4,30,1,28,6,30,4,28,3,30,2,29,1,7,1,28,1,6,4,30,1,6,3,7,1,6,4,30,1,6,1,29,1,6,1,7,1,6,3,29,1,30,1,6,1,30,1,6,2,30,2,6,2,30,1,6,1,30,3,28,1,30,1,28,2,30,1,7,1,30,3,7,1,30,1,6,1,30,1,6,1,29,1,6,1,13,1,30,1,29,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,7,1,30,1,6,1,7,1,6,1,7,3,6,4,7,1,6,2,7,1,6,1,13,1,6,1,13,1,9,1,8,1,13,4,8,1,13,2,8,1,9,1,13,2,9,1,13,1,9,1,8,1,13,3,8,1,13,2,6,2,13,2,6,3,13,1,6,2,13,2,7,1,9,1,12,1,11,2,12,1,9,1,13,1,6,2,30,1,6,3,29,1,6,1,7,1,6,12,29,1,13,5,6,1,7,2,13,1,9,1,13,1,9,1,11,1,9,1,10,1,11,1,17,4,30,1,28,1,29,1,30,1,28,1,30,1,28,10,30,1,28,8,30,1,28,2,30,1,28,3,6,1,13,1,6,1,13,1,6,1,13,3,6,1,13,2,6,1,13,1,7,1,29,1,6,1,7,1,13,2,6,3,30,1,6,1,30,1,6,1,13,1,6,4,30,1,6,2,13,2,30,2,6,1,7,1,6,5,7,1,30,1,6,1,30,1,6,7,30,1,13,1,29,1,30,2,29,2,6,1,30,1,6,9,7,1,6,2,13,1,29,1,13,5,29,1,13,1,6,1,13,1,7,1,6,1,13,3,6,1,13,1,29,1,13,3,7,1,13,2,7,1,13,1,6,1,8,1,6,1,30,1,13,1,6,1,13,1,29,1,6,1,7,1,13,1,7,1,13,2,6,2,13,5,6,2,13,2,6,1,13,2,6,2,13,2,7,1,13,2,7,1,13,3,8,1,6,1,13,1,8,1,13,4,8,1,7,1,13,1,29,1,6,1,28,32,30,1,28,1,30,1,28,11,30,1,28,2,30,2,6,2,28,2,30,3,7,1,11,1,28,16,14,1,17,1,10,1,8,1,6,1,29,2,13,1,6,3,28,11,6,1,13,1,30,1,13,1,9,1,8,1,12,1,17,3,6,1,28,3,30,1,28,1,6,1,11,1,8,1,28,42,30,1,13,1,30,1,6,1,28,2,9,1,17,2,7,1,6,1,30,1,28,2,13,1,8,1,13,1,9,1,11,1,17,2,30,1,28,5,6,1,24,1,29,1,28,10,30,1,28,2,30,1,28,3,}, {17,4,9,1,6,1,30,4,28,2,29,1,13,1,17,1,30,1,28,16,30,1,28,1,6,1,28,31,29,1,28,1,13,1,8,1,9,1,13,1,6,4,29,1,8,1,9,1,8,1,30,1,8,1,6,1,30,1,13,2,9,1,17,1,11,1,17,5,16,1,10,1,9,1,30,2,29,1,30,1,24,1,12,1,13,1,6,1,7,1,13,1,29,2,9,1,17,3,16,1,17,1,10,3,9,2,8,1,17,1,12,1,17,2,11,1,8,2,7,2,13,3,8,1,13,1,28,35,30,1,6,1,13,2,17,1,10,1,9,1,30,3,28,3,13,1,17,7,16,1,11,2,29,1,8,1,13,2,29,2,28,1,30,1,8,3,6,1,13,1,8,2,9,2,12,2,10,2,17,1,28,17,29,1,6,2,28,1,6,1,30,1,29,1,6,1,13,1,29,1,6,1,30,1,13,1,6,1,30,4,6,1,29,1,6,2,30,2,28,1,30,4,28,1,30,4,28,1,30,2,6,2,30,1,29,1,6,1,30,1,6,1,7,1,6,1,30,2,6,1,30,1,28,2,30,1,29,1,28,1,30,3,6,1,30,1,28,1,30,3,29,1,28,1,30,7,28,1,30,4,28,2,6,1,28,1,29,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,2,29,2,28,1,30,7,28,3,30,2,28,1,30,5,28,1,30,4,28,1,6,1,30,2,28,1,30,1,28,1,30,6,29,1,30,2,29,1,30,4,28,1,6,1,30,1,29,1,6,1,30,1,7,1,6,2,13,1,6,1,7,1,6,2,13,1,6,1,13,1,6,1,13,2,6,2,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,6,2,28,2,30,4,28,2,6,1,29,1,30,1,29,1,30,1,28,2,29,1,6,1,10,1,17,21,11,1,17,2,12,1,9,1,11,1,10,1,8,2,9,1,8,1,24,3,13,1,8,1,7,1,13,1,6,1,13,1,6,1,7,1,6,3,29,1,30,2,29,1,6,2,29,1,28,1,30,1,13,3,7,2,13,1,6,2,13,3,8,1,13,7,7,1,29,1,13,2,11,1,9,1,8,1,9,1,13,1,8,2,13,1,8,1,13,3,7,1,30,1,29,2,7,1,30,4,28,2,30,4,28,2,30,1,28,15,30,1,28,1,30,3,28,1,6,1,28,1,6,2,28,2,29,2,30,1,6,4,13,2,8,1,11,1,9,2,13,1,7,1,6,1,7,2,13,1,6,1,13,1,6,1,13,1,7,1,6,2,7,1,6,1,7,1,13,1,30,1,6,1,30,1,6,1,30,2,6,1,24,1,7,2,6,3,29,1,6,2,8,1,9,3,10,1,9,2,8,2,9,2,8,2,13,1,9,1,8,2,24,1,8,2,9,1,13,1,8,1,24,1,13,2,7,1,13,1,7,1,13,2,8,1,7,1,13,2,8,1,13,1,8,1,13,6,8,1,7,1,13,4,8,1,29,1,7,4,13,1,7,3,13,1,7,1,8,1,7,1,13,3,6,1,7,1,6,3,13,1,6,1,7,1,29,1,6,1,7,1,30,1,6,2,29,1,6,10,30,2,7,1,30,1,6,2,29,1,30,1,29,1,6,1,13,1,29,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,13,2,9,1,6,1,28,9,27,1,25,1,27,2,6,1,29,1,30,1,28,2,30,2,27,2,26,1,25,1,27,2,25,3,26,1,25,1,27,1,25,1,29,1,26,1,27,1,25,1,24,3,8,1,24,4,8,1,24,1,26,1,25,2,8,1,25,1,7,1,29,1,6,1,8,1,13,1,6,1,28,1,30,1,29,1,6,4,30,2,7,1,13,1,6,2,30,1,6,3,7,1,6,1,13,1,8,1,13,1,30,1,6,1,28,1,29,1,28,2,30,1,28,1,30,1,28,1,6,1,30,4,28,1,30,2,28,1,30,2,28,3,30,1,28,1,30,2,6,1,7,1,28,1,30,4,28,1,30,1,28,2,30,1,28,1,30,9,28,1,30,1,28,3,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,6,1,30,2,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,3,28,2,30,1,28,3,30,2,28,2,30,1,28,10,13,1,17,2,13,1,28,1,30,3,28,1,30,2,6,1,30,1,6,1,28,2,30,1,6,1,30,1,6,1,30,2,6,2,16,1,8,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,3,28,1,6,1,28,1,9,1,6,1,30,1,13,1,6,1,30,2,28,1,30,9,28,1,30,4,28,2,30,2,28,4,30,2,28,2,29,1,28,2,30,1,28,6,30,1,28,6,30,1,28,1,6,1,13,1,28,6,30,1,6,1,28,1,30,1,28,4,30,1,28,2,30,3,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,11,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,6,6,28,1,30,1,28,8,30,1,28,1,6,1,30,1,28,1,13,1,11,1,13,1,30,1,28,1,30,1,28,1,30,6,28,1,30,1,28,1,30,3,6,1,28,1,30,2,28,2,30,3,28,1,30,1,29,1,17,1,30,3,6,1,28,1,30,2,28,7,30,2,28,1,30,1,28,2,30,1,28,2,30,1,7,1,30,2,28,4,30,7,28,3,30,1,28,1,30,4,28,2,30,1,28,4,30,4,28,1,30,5,28,2,6,1,28,3,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,4,6,1,30,1,28,6,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,4,30,1,28,5,30,1,28,1,30,2,28,1,30,4,28,1,6,1,30,3,28,1,6,2,28,1,6,1,30,1,28,6,30,1,28,1,30,2,28,4,30,1,28,22,30,2,28,4,30,2,28,16,17,1,28,7,30,1,28,2,30,1,28,13,30,1,28,13,30,1,28,3,30,1,28,4,30,1,28,21,30,1,28,11,30,1,28,2,30,2,28,2,30,1,28,6,30,1,28,1,30,2,28,6,30,1,28,2,30,2,28,4,30,2,6,1,30,3,28,5,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,2,30,2,28,2,30,2,6,1,30,2,28,2,30,1,28,1,30,1,28,4,30,1,28,4,30,2,28,1,30,1,28,4,30,1,28,1,29,1,6,2,30,2,28,1,30,3,28,1,30,1,28,2,30,3,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,29,1,6,1,30,3,13,1,28,2,30,1,28,1,30,1,28,10,30,1,28,7,30,1,28,7,30,2,29,1,30,4,28,16,6,1,13,1,7,1,13,5,7,1,9,1,8,1,13,1,10,1,9,1,13,4,8,1,13,1,8,1,9,1,13,1,8,1,9,3,11,2,9,3,11,1,17,2,16,1,9,1,11,1,13,1,8,2,16,2,11,1,17,1,11,1,10,1,17,4,16,1,17,1,11,2,12,1,11,2,12,1,17,2,12,1,17,1,16,1,17,6,11,1,9,1,12,1,11,1,9,1,13,1,6,1,30,1,29,1,30,1,6,1,28,1,30,3,28,2,13,1,17,1,28,1,30,3,6,1,28,1,6,2,28,1,30,5,28,1,6,1,30,2,6,1,28,1,7,1,28,2,30,4,28,2,30,1,28,1,6,1,29,1,28,1,30,1,6,1,28,1,6,1,28,1,30,2,6,1,28,2,30,3,6,1,28,1,6,3,7,1,13,2,8,1,13,1,8,1,13,1,9,3,8,1,9,5,11,1,9,1,10,1,9,1,8,1,10,1,13,1,6,1,28,1,30,1,28,1,30,3,28,46,30,1,28,2,6,1,30,1,28,2,30,3,28,1,30,2,6,1,28,1,6,2,30,3,13,1,6,7,29,1,6,2,30,1,6,1,7,1,6,1,7,1,6,1,7,1,30,2,6,1,13,1,6,1,30,1,29,1,30,3,29,1,28,1,30,1,28,1,30,1,28,1,6,1,29,1,6,1,30,1,6,5,30,1,28,1,7,1,13,1,6,1,30,1,29,1,6,1,30,2,6,1,30,1,29,1,6,1,13,1,30,1,13,1,6,6,13,1,7,1,13,1,6,1,13,1,6,1,13,2,6,1,7,1,13,4,8,1,6,1,10,1,13,1,8,2,13,1,8,1,13,3,8,1,13,1,8,1,13,1,7,1,13,2,6,2,13,1,6,1,13,1,30,1,13,2,7,1,13,2,6,1,7,1,29,1,6,1,8,2,13,1,9,1,17,3,8,1,9,1,6,3,28,1,6,2,29,1,6,1,29,2,6,2,29,1,6,5,30,1,6,1,29,1,6,2,7,2,13,4,7,3,8,1,13,1,9,1,8,1,11,1,9,1,11,1,17,1,11,1,17,2,11,1,28,2,30,1,29,1,28,1,30,1,28,9,30,1,28,7,30,1,28,9,30,1,6,1,13,1,6,1,13,2,6,1,7,1,13,3,7,1,6,1,13,2,7,1,6,2,13,1,7,1,6,1,7,1,13,1,6,3,30,1,6,1,7,1,6,1,13,1,6,4,13,1,6,1,13,1,6,1,13,1,7,1,6,5,7,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,13,1,30,1,6,2,7,1,6,2,7,1,29,1,6,1,29,1,6,1,13,1,6,1,30,1,29,1,7,1,6,1,7,3,6,4,7,1,29,1,13,1,6,2,13,1,6,2,13,1,30,1,13,2,7,1,29,1,7,1,6,1,13,1,7,1,13,1,8,1,13,1,30,1,13,1,6,1,13,1,6,1,13,2,7,2,6,1,13,1,6,1,13,1,7,1,8,1,13,3,6,1,13,5,6,1,8,1,6,1,13,2,7,1,6,1,13,2,6,2,13,3,7,1,6,1,7,1,13,1,7,1,13,3,7,1,13,2,6,1,13,1,30,2,28,39,30,1,28,9,30,1,6,1,28,2,6,2,30,2,13,1,9,1,28,15,6,1,17,2,10,1,8,1,13,1,6,1,30,1,7,1,29,1,28,1,29,2,28,6,30,1,28,4,13,3,10,1,9,1,10,1,17,2,10,1,28,6,8,1,9,1,8,1,30,2,28,41,6,1,30,1,28,3,9,1,17,2,7,1,28,2,29,1,13,3,9,1,16,1,11,1,17,2,28,6,7,1,13,1,6,1,28,12,30,2,28,3,}, {17,4,16,1,9,1,24,1,6,1,28,1,30,1,29,1,28,1,30,1,24,1,10,1,6,1,28,50,6,1,30,1,7,1,10,1,17,2,13,1,7,2,6,1,30,1,8,1,10,1,8,1,13,1,30,1,7,1,6,1,13,2,9,1,17,7,16,2,9,1,6,1,29,1,30,1,28,1,9,1,8,2,9,1,7,1,13,1,7,1,29,1,9,1,17,3,16,1,11,2,17,1,10,1,8,1,11,3,17,4,13,3,8,1,13,1,6,1,13,1,10,1,13,1,28,36,6,1,24,1,8,1,11,2,9,1,30,2,6,1,29,1,28,2,6,1,17,7,11,1,16,1,9,1,8,2,9,1,13,1,28,1,6,1,30,1,29,1,28,1,13,3,8,2,10,1,9,2,11,1,10,2,17,2,6,1,28,16,6,2,30,4,6,2,13,1,6,1,7,1,13,1,6,3,13,1,30,1,28,1,30,3,6,1,29,1,30,1,6,1,30,2,29,1,30,1,29,1,28,3,30,1,29,1,30,2,6,3,29,2,28,1,30,3,6,1,29,1,30,1,29,2,28,1,30,4,6,1,30,2,6,1,30,1,28,1,30,5,6,1,28,1,30,6,28,1,6,1,28,1,30,2,28,1,30,1,28,2,30,2,28,2,30,4,28,2,30,2,28,1,30,1,28,1,30,1,6,1,28,3,30,6,28,3,30,2,28,2,30,3,6,1,30,4,6,1,28,1,30,2,6,1,30,2,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,1,30,1,6,3,30,1,6,1,29,1,13,1,6,2,7,1,6,1,13,1,7,1,13,2,6,2,13,2,8,1,6,1,29,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,1,6,1,30,5,6,2,13,1,17,1,12,1,17,22,11,1,12,1,10,1,9,2,10,1,9,1,8,1,9,1,8,2,13,1,8,1,13,1,8,1,30,1,13,1,7,1,29,1,6,2,30,2,29,2,30,2,28,2,30,3,7,1,13,1,7,1,13,2,7,1,8,1,13,2,7,1,13,4,6,1,13,2,8,1,13,2,8,2,13,1,11,1,9,1,8,1,11,1,13,1,29,1,13,3,8,1,7,1,6,2,30,1,6,2,30,3,29,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,12,30,3,28,1,30,1,28,2,6,1,28,2,29,1,6,1,13,2,7,1,6,1,13,1,9,1,24,1,9,1,8,2,13,3,6,2,13,1,7,1,13,2,7,2,6,1,7,1,6,1,29,1,6,2,29,1,6,3,13,1,30,1,8,1,13,1,30,1,29,1,7,1,6,4,7,2,8,1,10,1,8,1,9,1,10,1,9,1,13,1,8,1,9,3,13,2,9,3,13,1,8,2,13,1,24,1,13,2,8,2,13,2,8,1,13,1,7,1,13,1,8,1,13,1,24,1,13,2,9,1,8,2,13,3,8,1,6,1,7,1,13,4,7,2,13,2,7,1,13,1,7,1,6,1,7,2,13,4,8,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,6,1,13,1,6,4,7,1,6,3,30,2,29,1,30,1,6,2,29,1,6,1,30,1,6,2,7,1,29,1,30,1,13,1,29,1,6,4,13,1,6,2,13,1,7,1,13,1,7,1,13,1,8,1,13,2,6,1,28,8,6,1,29,1,27,1,29,2,26,1,27,1,29,1,28,4,30,1,27,1,25,1,27,2,25,1,27,1,25,5,27,1,25,1,26,1,25,1,26,1,24,6,25,1,24,3,25,1,8,1,25,3,26,1,29,2,6,1,13,2,7,2,30,2,6,3,30,1,6,2,7,1,13,1,6,2,13,3,6,1,13,3,8,1,28,2,6,1,28,2,30,1,28,1,30,6,6,1,29,1,30,3,28,1,30,1,28,2,30,2,6,1,28,1,30,1,28,1,6,1,30,3,28,3,30,3,28,2,30,2,29,1,30,1,28,2,30,1,28,2,30,4,28,1,30,1,28,1,30,2,6,1,28,1,30,1,28,1,30,2,28,2,30,1,29,1,6,1,30,4,28,1,29,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,6,30,1,28,13,6,1,28,1,30,1,11,1,9,1,13,1,6,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,4,30,4,13,1,9,1,6,1,30,2,28,1,29,1,30,2,28,8,30,1,6,1,28,1,17,1,6,1,30,3,6,1,28,3,30,1,6,1,30,1,6,2,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,11,30,1,28,6,30,2,28,7,13,1,28,10,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,7,30,1,28,6,30,1,28,12,30,1,28,15,30,1,28,3,30,1,28,4,6,1,28,6,30,1,6,1,7,1,11,1,13,1,28,2,30,4,29,1,30,1,28,1,6,1,30,7,28,2,6,1,30,3,28,1,30,4,16,1,6,1,30,1,28,4,30,1,28,10,30,1,28,5,6,3,30,1,28,1,30,1,6,1,28,2,30,2,6,1,30,3,28,4,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,1,30,1,6,1,30,2,6,1,30,2,6,1,28,1,30,1,28,12,30,2,28,2,30,1,28,7,30,2,28,1,13,1,28,1,30,1,28,4,30,1,28,6,30,1,28,5,30,2,28,5,30,1,28,4,30,2,28,3,30,5,28,1,29,1,30,2,28,1,30,1,28,1,30,4,28,1,30,1,28,1,6,1,28,1,6,1,28,3,30,2,28,24,30,1,28,2,30,1,28,9,30,1,6,1,28,15,30,1,17,1,28,3,30,1,28,34,30,2,28,18,30,1,28,2,30,1,28,28,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,3,30,3,28,1,30,1,28,1,30,4,28,3,30,2,28,1,30,1,28,1,30,4,28,1,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,4,30,1,28,1,30,1,28,1,29,1,6,2,30,1,28,1,30,1,28,6,30,1,28,5,30,2,28,1,6,2,30,2,6,2,30,6,28,5,30,1,28,1,30,3,28,2,30,4,28,4,29,1,28,1,30,1,6,1,28,3,6,1,28,5,30,3,28,25,6,1,29,1,28,2,30,2,28,16,6,1,13,8,9,1,13,2,8,1,9,1,13,5,8,2,13,1,9,1,13,1,9,3,11,1,10,2,9,2,17,2,11,1,9,4,8,1,17,1,11,1,17,1,11,1,9,1,11,1,17,1,16,1,17,1,16,1,17,3,11,3,17,2,11,1,17,2,11,1,17,4,12,1,17,1,11,1,17,1,11,1,10,1,11,1,10,1,9,1,30,1,6,2,30,6,28,2,11,1,13,1,28,1,6,1,30,5,28,1,30,1,28,1,30,2,6,1,30,2,28,3,30,1,28,1,6,1,30,1,6,1,28,2,30,1,29,1,28,3,30,2,28,1,29,1,30,1,28,5,30,2,28,1,30,1,28,1,30,1,28,2,29,1,30,1,6,1,7,1,6,1,13,2,8,2,13,1,9,1,8,1,9,4,10,1,9,1,10,1,8,1,9,4,11,1,8,1,9,2,13,1,30,1,28,1,30,2,28,18,30,1,28,6,30,1,28,15,30,1,28,5,30,1,28,1,30,2,28,1,30,1,28,7,30,1,28,1,6,1,30,1,29,1,13,1,7,2,6,3,29,1,7,1,6,3,13,1,28,1,6,1,13,1,30,2,28,2,6,1,30,1,6,2,30,1,13,1,30,1,29,1,28,1,30,5,6,1,28,1,30,2,28,1,6,2,30,1,6,1,29,1,6,1,30,1,6,1,29,1,13,1,6,1,30,2,13,1,30,2,7,1,6,2,30,1,7,1,6,3,13,1,6,3,13,2,6,1,7,1,30,1,13,3,6,2,13,4,8,1,13,1,8,1,7,1,9,1,13,1,8,2,13,1,9,1,13,1,8,3,13,4,7,1,6,2,13,1,6,1,13,2,7,1,6,1,7,1,6,1,30,1,6,1,13,1,7,1,13,1,6,1,13,2,9,1,17,3,9,1,13,1,29,1,6,1,30,1,6,1,29,2,6,1,29,1,6,4,30,2,6,2,30,1,6,5,13,1,6,2,7,1,13,1,6,2,7,2,6,1,13,3,10,1,8,1,10,2,11,1,10,1,17,3,11,1,28,2,30,3,28,4,30,1,28,4,30,1,28,11,30,1,28,8,30,2,13,8,7,1,6,3,7,2,6,2,28,1,6,1,29,1,6,2,30,1,6,3,7,1,30,1,13,1,6,1,13,1,6,2,13,1,7,1,13,1,28,1,30,1,29,1,6,1,7,1,13,1,6,5,13,1,6,1,13,1,29,1,6,6,13,1,6,2,30,2,13,1,30,1,6,2,30,1,6,1,13,2,6,2,7,2,13,2,6,1,13,1,7,2,29,1,13,1,30,1,6,1,13,1,6,1,13,1,8,1,13,2,7,1,6,1,7,1,13,1,8,2,13,2,8,1,6,5,13,6,7,1,6,1,13,7,7,1,13,1,7,1,13,2,8,1,13,1,6,1,13,2,7,1,13,1,6,1,7,1,13,1,7,1,13,1,6,1,7,2,13,5,6,1,13,6,30,1,28,30,30,2,28,17,30,1,28,1,6,1,28,1,30,1,28,2,6,2,13,1,6,1,28,15,30,1,17,2,11,1,13,1,8,1,7,1,6,1,13,1,30,2,28,1,6,1,28,9,29,1,6,1,13,1,7,1,9,1,12,1,10,1,17,3,9,1,28,6,6,1,8,1,13,1,29,1,28,42,8,1,28,4,11,1,17,2,13,1,28,1,30,1,28,1,6,3,8,1,9,1,11,1,17,1,16,1,28,6,6,1,8,1,13,1,28,10,30,1,29,1,28,5,}, {17,3,16,1,11,1,13,1,7,1,6,1,30,1,28,3,29,1,13,1,12,1,6,1,30,1,28,3,30,2,28,5,30,1,28,1,30,1,28,15,30,1,28,20,30,1,6,1,7,1,11,1,17,1,10,1,6,1,30,1,6,1,30,1,6,1,13,4,29,1,6,2,7,1,13,1,9,1,17,2,12,1,17,3,11,2,12,1,8,1,7,1,30,1,6,1,28,1,6,1,11,1,8,1,13,1,6,1,8,1,7,1,28,1,8,1,17,3,16,1,11,1,16,1,9,1,11,1,10,1,9,2,11,1,17,3,16,1,9,1,7,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,28,36,30,1,6,1,9,2,12,1,9,1,13,1,28,3,30,1,28,1,13,1,16,1,17,7,11,1,12,1,9,1,13,1,8,1,6,1,30,1,29,2,28,1,6,2,7,1,8,2,13,2,8,1,13,1,11,1,17,1,16,3,30,1,28,16,13,1,6,2,28,1,6,1,30,2,28,1,6,2,30,1,29,1,30,1,6,2,30,1,6,1,28,1,30,2,6,1,28,1,30,1,6,1,28,1,6,1,28,1,30,1,6,2,30,1,6,1,29,1,30,2,28,1,29,1,6,1,29,1,30,1,28,1,30,3,6,1,28,1,30,3,28,1,6,1,30,1,29,1,30,1,6,1,30,2,6,1,30,2,29,1,6,2,29,1,30,6,28,2,30,4,28,1,30,2,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,29,1,30,2,28,3,30,1,6,1,30,3,28,1,30,7,28,1,30,3,28,1,30,4,28,1,30,2,28,1,6,4,30,3,28,1,13,1,28,1,30,1,28,2,30,1,29,1,30,1,28,1,30,1,28,1,6,1,30,1,6,2,29,1,28,1,29,2,30,1,6,4,13,1,30,1,13,1,30,1,7,1,6,1,13,4,29,1,28,2,30,3,28,1,6,1,30,1,28,5,30,9,28,2,29,1,28,1,30,1,29,1,28,1,6,3,24,1,17,1,12,2,10,1,24,1,10,1,24,1,12,3,17,14,11,1,12,2,10,1,9,1,8,1,24,1,9,1,8,1,13,1,8,1,13,1,8,2,13,3,6,1,7,2,6,2,30,1,6,2,30,7,7,1,13,1,8,1,13,4,7,1,13,9,6,1,13,4,9,1,13,1,9,1,13,3,6,1,7,1,13,3,29,1,13,1,29,2,28,1,30,3,28,1,29,1,28,4,30,1,28,3,30,1,28,19,6,1,28,5,29,1,28,1,30,4,6,1,30,1,13,1,6,1,7,2,24,1,8,1,10,1,9,1,6,1,13,2,7,1,13,1,6,1,8,1,6,2,7,1,6,1,7,1,30,1,6,3,7,1,6,1,7,1,30,1,6,2,7,1,6,1,13,2,6,2,29,1,30,1,6,4,13,1,7,1,8,4,9,2,8,1,13,2,9,2,13,1,8,1,6,1,8,1,13,1,8,6,13,14,8,1,13,2,8,1,13,4,6,1,13,1,7,1,13,1,8,1,6,5,7,1,6,1,13,1,7,1,13,1,6,1,8,1,7,1,13,1,7,1,13,2,6,2,7,2,6,1,7,1,13,1,6,3,30,1,29,1,6,1,30,1,6,1,13,1,6,2,30,1,6,1,29,1,7,1,6,1,30,2,13,1,29,1,13,1,6,1,13,1,6,1,13,3,7,1,13,1,7,2,13,2,9,1,13,1,8,1,6,1,28,9,30,1,29,1,6,2,27,2,29,1,6,1,30,1,28,3,30,1,27,1,29,1,27,1,24,1,27,1,25,2,26,1,25,1,27,4,26,1,25,1,24,1,25,1,24,5,25,1,8,1,24,2,26,1,25,2,8,1,25,1,6,2,29,2,28,1,6,1,13,2,6,1,28,1,30,3,13,1,6,6,13,1,11,1,9,2,13,2,9,1,13,1,6,1,30,1,6,1,30,2,6,1,30,6,6,1,29,1,6,1,30,1,6,1,30,5,28,1,6,1,30,1,28,2,30,1,6,1,30,2,28,1,30,1,28,1,30,2,28,1,30,4,28,5,30,1,28,3,30,3,28,1,30,1,29,1,28,2,30,1,28,3,30,1,28,1,30,3,29,1,6,1,28,1,30,3,28,1,30,2,28,1,30,3,28,2,30,1,28,1,30,1,28,4,30,1,28,4,6,1,30,1,28,2,30,1,28,2,30,1,28,4,30,2,13,1,10,1,9,1,13,2,9,1,13,1,6,2,30,2,28,1,6,1,13,6,6,1,13,1,9,1,13,2,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,1,6,1,28,1,30,1,6,1,29,1,30,1,8,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,2,30,1,6,1,28,11,30,3,28,4,30,1,28,4,30,1,28,2,30,1,28,4,6,2,28,1,30,1,28,19,30,1,28,3,30,1,28,2,30,1,28,6,30,1,28,8,30,1,28,12,30,1,28,7,30,1,28,7,30,1,28,6,30,3,13,1,8,1,6,1,30,2,28,5,30,1,28,3,6,1,30,2,6,1,30,1,6,1,30,1,7,1,6,1,28,1,30,2,28,4,13,2,28,1,30,2,28,3,30,1,28,9,30,1,28,5,30,1,28,1,30,1,13,1,28,2,30,1,28,2,30,1,28,2,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,3,30,2,29,1,6,2,7,1,30,3,28,22,30,2,28,3,29,1,6,2,28,6,30,2,6,1,28,1,30,1,28,3,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,4,30,2,28,1,30,2,28,1,29,1,30,1,6,1,28,1,29,1,28,1,30,2,28,1,30,2,28,3,30,2,28,3,30,1,6,1,28,7,30,1,28,3,30,1,28,7,30,1,28,12,30,2,28,1,30,1,28,13,16,1,17,1,28,13,30,1,28,1,30,1,28,14,30,1,28,54,30,1,28,4,30,1,28,2,30,2,28,4,30,1,28,8,30,1,28,6,30,1,28,1,30,1,28,1,30,1,6,1,30,3,28,6,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,8,13,1,30,1,28,3,30,1,28,2,29,1,28,7,30,1,28,1,30,1,28,1,30,1,13,1,6,1,28,1,30,1,28,5,30,2,28,2,30,3,28,1,30,3,28,1,29,1,28,3,30,2,28,1,30,1,28,2,30,1,6,1,30,1,29,2,6,1,28,7,30,1,28,3,30,1,28,20,30,2,28,2,30,1,28,1,30,3,28,1,30,1,28,14,30,1,13,1,6,2,13,5,9,3,8,2,13,5,8,1,13,1,8,1,13,1,9,4,11,2,9,2,11,1,17,1,11,1,17,1,11,1,9,1,12,1,9,1,8,1,11,1,17,1,11,3,17,2,10,1,11,1,12,1,17,3,11,1,17,2,11,2,17,1,12,1,11,1,17,3,11,1,17,4,11,1,17,2,10,1,17,1,10,1,13,1,6,1,29,1,28,1,6,1,30,2,29,1,28,1,30,2,17,1,28,2,30,2,28,3,30,2,29,1,30,2,29,1,28,1,30,1,6,1,28,2,30,1,28,1,30,1,28,5,30,3,6,1,30,7,28,1,6,1,28,2,30,3,28,2,30,1,28,1,30,1,28,1,30,1,6,1,29,1,6,2,7,1,13,1,7,1,13,1,9,1,13,2,9,2,8,1,9,6,10,1,11,1,9,2,11,1,10,1,9,1,13,1,6,1,30,2,28,28,30,1,28,27,30,3,28,1,30,5,6,1,30,1,6,1,7,1,6,3,7,1,6,1,7,2,6,1,29,1,6,6,30,2,6,2,29,1,30,1,6,1,30,1,29,1,30,2,28,1,30,4,6,1,30,1,6,1,30,3,13,1,6,2,30,1,6,2,13,1,6,1,30,1,7,1,6,3,28,1,6,2,28,1,6,1,7,1,30,1,7,1,30,2,6,2,13,1,30,1,13,1,7,1,6,2,7,1,13,1,7,1,13,8,6,1,9,1,8,1,13,1,8,2,13,1,8,1,13,1,8,1,9,1,13,1,8,1,6,1,13,3,7,1,6,3,7,1,13,2,6,1,7,1,13,1,6,1,9,1,13,3,8,1,9,1,17,2,11,1,7,1,28,2,30,1,29,1,28,1,30,1,6,4,29,1,6,3,29,1,6,2,7,1,6,6,13,1,6,2,30,1,6,1,7,1,13,1,7,3,13,3,9,4,17,4,16,1,11,1,28,2,30,1,28,1,30,1,28,11,30,1,28,18,30,1,28,2,29,1,6,2,13,1,8,1,13,4,7,1,13,1,7,1,13,1,6,1,13,1,7,1,13,3,6,2,13,1,7,2,6,1,7,1,13,1,30,1,13,1,6,2,13,2,7,1,6,6,29,1,13,1,7,1,6,1,7,1,6,6,7,1,6,3,29,1,7,1,6,1,29,1,6,3,30,1,6,4,13,1,30,1,13,2,7,1,13,1,7,1,6,4,13,4,6,1,13,2,30,1,7,3,13,1,6,1,7,2,13,2,8,1,13,1,6,1,9,1,7,1,13,2,7,1,13,2,6,1,13,2,6,1,7,1,13,4,8,1,13,1,6,1,13,4,7,1,8,1,30,1,13,2,8,1,6,2,13,1,6,1,13,5,6,1,13,1,7,1,13,1,7,1,13,1,30,1,6,1,13,3,6,1,7,1,28,39,30,1,28,10,30,1,29,1,6,1,28,3,30,1,6,2,13,1,9,1,28,15,6,1,17,2,9,1,13,1,7,1,6,1,13,1,6,1,30,2,28,1,6,1,30,1,28,7,29,1,28,1,6,1,7,1,13,2,11,1,8,1,16,1,17,2,10,1,28,6,6,1,8,1,13,1,28,43,6,1,30,1,28,3,11,1,17,2,30,1,28,1,30,1,29,1,6,1,13,2,8,1,11,2,17,1,11,1,28,5,30,3,6,1,28,13,6,1,28,3,}, {17,2,16,1,17,1,8,2,6,1,13,2,28,1,13,1,28,2,13,1,10,1,6,1,28,5,30,1,28,6,7,1,28,34,30,2,28,1,30,1,6,1,13,1,24,1,17,1,13,2,28,1,6,1,28,1,29,1,13,1,9,1,13,1,6,1,13,1,7,1,13,2,6,1,9,1,11,1,17,7,10,1,16,1,13,1,28,1,30,1,6,2,8,3,6,2,7,1,6,1,9,1,17,5,9,2,12,2,10,1,11,1,16,1,17,4,13,1,8,1,6,1,7,1,6,1,8,1,6,1,8,1,7,1,28,36,30,1,7,1,6,1,9,1,17,1,9,1,7,1,28,1,30,1,28,2,30,1,6,1,16,1,17,7,11,2,13,1,8,3,6,1,30,3,6,1,7,1,8,2,7,1,13,1,9,2,11,2,17,1,10,1,11,1,17,1,13,1,28,16,6,2,30,3,29,1,28,1,13,1,30,1,6,1,30,1,6,1,30,5,29,2,28,1,29,1,6,1,28,1,29,1,30,3,29,1,30,1,29,1,30,4,6,1,30,1,7,1,6,2,29,1,6,1,30,1,6,1,30,1,28,1,29,1,30,2,28,1,30,2,28,1,6,1,30,8,6,1,28,1,30,1,28,1,30,6,28,2,30,2,28,1,30,1,28,1,30,2,29,1,28,1,30,1,6,1,28,1,29,1,30,2,28,2,30,2,28,2,30,1,28,2,29,2,6,1,29,1,28,1,30,6,28,1,30,5,28,1,30,2,28,3,30,1,6,1,30,1,29,1,30,1,28,1,30,1,28,2,30,2,6,1,30,1,29,1,30,1,6,1,28,1,30,1,28,1,30,5,29,1,6,1,30,1,6,1,29,1,28,1,30,1,6,1,29,1,6,1,30,1,7,1,6,3,29,1,13,1,6,1,13,1,7,2,13,2,30,1,28,1,30,1,28,1,29,1,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,29,1,30,1,6,1,30,2,13,1,30,1,6,1,30,1,13,1,12,1,17,2,8,1,24,1,25,1,24,3,12,1,10,1,12,1,17,7,12,1,17,5,12,1,10,1,11,1,8,1,9,3,8,2,9,1,8,2,13,2,8,1,13,1,6,1,7,1,29,1,7,1,6,2,30,5,6,1,30,2,29,1,30,2,9,1,13,1,6,1,7,1,13,1,7,1,13,1,7,1,8,1,13,1,7,2,13,3,8,1,6,1,13,2,7,1,8,1,9,1,13,2,8,1,7,1,6,1,13,1,7,1,13,2,6,1,13,1,30,1,29,1,13,1,6,2,30,3,29,1,28,2,30,2,28,1,30,2,28,4,30,2,28,8,30,1,28,3,30,1,28,3,30,2,28,2,30,5,28,1,30,2,13,3,7,2,9,1,11,1,9,2,6,1,13,1,8,1,6,1,7,1,13,1,7,1,13,1,6,1,7,1,6,4,29,1,7,1,29,1,6,1,29,1,6,2,29,1,7,1,6,1,7,1,13,2,6,1,30,1,6,6,13,1,9,1,8,1,9,2,13,1,9,2,8,1,13,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,10,1,13,1,8,4,13,1,24,1,9,1,13,3,8,1,24,1,8,1,13,10,8,1,13,2,7,1,13,2,6,2,7,1,13,2,7,3,13,3,7,1,6,1,13,5,7,1,13,1,6,1,13,1,6,1,13,1,29,1,7,1,13,1,7,1,6,1,7,1,29,1,7,1,6,2,13,1,6,3,7,1,6,1,7,1,13,1,7,1,6,1,13,1,7,1,8,1,13,1,8,1,13,1,6,1,8,1,13,1,6,1,13,1,7,1,6,1,13,3,9,1,30,1,28,9,30,2,6,1,25,1,26,1,29,1,27,2,29,1,28,5,29,2,25,2,27,2,25,3,27,2,25,1,27,1,25,1,27,1,25,1,24,7,25,1,24,1,25,2,26,1,25,1,8,2,7,2,30,1,29,2,6,2,13,1,9,2,13,1,9,1,13,1,9,2,8,1,9,1,13,3,9,6,13,2,30,1,6,2,28,1,6,1,30,1,6,1,28,1,6,2,30,1,29,2,30,1,6,1,30,4,6,1,28,1,6,1,30,1,6,2,29,2,6,1,30,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,3,30,1,28,1,29,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,28,2,30,9,28,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,2,30,3,28,3,30,1,28,6,30,2,28,1,30,2,28,4,30,2,28,2,30,1,13,1,9,1,11,1,17,1,11,1,9,1,13,3,8,1,11,1,9,1,13,1,9,1,8,1,13,4,7,1,30,1,6,1,30,2,6,1,28,3,30,2,28,1,30,2,28,4,6,2,28,2,9,1,28,1,30,3,28,1,30,2,6,1,28,5,30,1,28,9,30,1,28,9,30,3,28,12,30,2,6,2,30,3,28,2,30,2,28,1,30,1,28,4,30,1,28,2,30,3,28,4,30,1,28,28,30,1,28,19,30,3,28,9,6,1,30,1,6,1,30,2,28,3,7,1,30,1,28,2,29,1,30,1,28,1,30,1,28,2,6,1,13,1,6,1,30,1,13,1,7,1,28,1,30,1,28,3,29,1,9,1,13,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,2,30,3,28,3,13,1,28,3,30,1,28,4,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,3,30,1,6,1,30,1,6,1,30,4,6,1,28,1,6,1,28,2,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,6,1,28,1,30,1,6,1,30,1,6,1,29,1,30,2,6,2,13,1,30,1,28,6,30,1,28,1,30,1,28,16,30,1,28,12,30,1,28,39,13,1,28,2,30,1,28,5,6,3,28,1,30,1,28,2,30,2,28,1,30,2,6,1,28,4,30,2,28,7,30,1,28,1,13,1,17,2,28,24,30,1,28,12,30,1,28,2,6,1,28,18,30,1,28,3,30,1,28,26,30,4,28,4,30,1,28,1,30,2,28,5,30,1,28,6,30,1,28,4,6,1,28,1,30,2,28,2,30,2,28,4,30,3,28,1,30,1,28,2,30,1,28,5,30,5,6,1,30,1,6,1,13,1,7,1,6,1,30,1,28,8,30,1,28,5,30,2,6,1,29,1,28,4,30,3,28,4,30,2,6,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,4,7,1,28,1,30,1,29,1,28,1,30,1,28,16,30,1,28,1,30,1,28,16,30,2,28,1,30,2,29,1,30,2,28,15,30,1,13,1,6,1,13,2,7,1,8,2,13,2,9,1,13,1,8,1,13,2,8,1,9,1,6,1,13,1,9,2,13,2,8,1,9,3,11,2,9,1,16,1,11,1,17,3,10,2,9,3,11,1,9,1,17,1,11,3,16,1,11,1,16,1,17,4,12,1,17,1,12,1,17,2,11,1,17,1,12,1,17,1,11,1,17,1,12,1,17,5,11,2,16,1,9,1,13,1,6,2,30,1,28,1,6,2,30,1,28,1,29,1,28,1,8,1,28,2,30,7,29,1,28,1,30,1,28,1,30,4,29,1,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,4,28,2,29,1,6,1,30,3,6,2,8,1,13,1,9,1,13,2,8,1,13,2,9,1,8,1,9,2,13,1,10,1,9,6,10,1,9,4,13,1,6,1,30,2,28,43,30,2,28,9,30,1,28,1,30,1,28,1,30,2,28,1,29,1,6,1,13,1,30,2,6,1,30,1,6,1,7,1,6,3,7,1,29,1,13,2,7,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,29,1,30,2,29,1,30,1,29,1,30,3,28,2,30,1,28,1,29,1,30,3,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,2,7,1,6,1,29,1,6,1,29,1,6,2,29,1,7,1,6,3,13,1,7,1,13,6,9,1,13,3,6,1,9,1,13,2,8,1,13,1,8,2,6,1,9,1,13,1,9,3,8,2,13,1,8,1,7,1,13,2,6,1,13,1,7,2,6,1,7,1,13,1,6,1,7,2,13,1,6,2,13,5,9,2,11,1,17,2,9,1,6,3,30,5,6,1,29,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,29,1,6,3,30,2,7,1,13,1,30,1,6,6,7,1,6,1,13,1,7,1,13,1,9,1,8,1,9,1,11,2,17,3,11,1,9,1,28,2,30,2,28,6,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,8,30,1,28,12,30,2,6,1,13,1,9,1,13,2,9,1,7,1,13,2,6,1,7,1,6,1,13,1,6,2,13,2,6,1,7,1,13,1,6,1,7,1,6,3,7,1,6,1,13,4,6,1,13,1,6,2,13,1,6,4,7,1,6,1,29,1,7,1,13,1,7,1,6,3,30,1,7,1,6,4,29,1,6,2,7,1,6,1,29,1,7,1,13,1,6,2,13,1,6,1,13,2,6,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,6,1,7,1,13,1,7,1,13,1,7,1,13,1,8,1,13,1,6,1,13,3,8,2,13,2,6,2,8,1,6,1,7,1,13,1,6,1,13,1,6,2,13,2,8,1,13,2,7,1,13,1,6,1,29,1,7,1,13,3,6,1,7,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,8,1,6,2,13,2,6,1,13,1,6,1,13,2,7,1,8,1,9,1,13,1,6,1,13,1,30,1,6,1,29,2,28,37,30,1,28,6,30,1,6,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,6,2,9,1,6,1,28,15,6,1,17,1,16,1,11,1,9,1,7,1,6,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,7,30,1,6,2,13,1,8,1,9,3,17,3,9,1,28,6,7,1,13,1,9,1,28,42,30,1,28,1,30,1,28,3,9,1,17,1,11,1,6,1,28,3,6,1,30,1,6,1,8,1,9,1,17,3,28,6,30,1,13,1,7,1,28,11,29,1,28,1,6,1,28,3,}, {17,3,11,1,17,1,8,1,6,1,13,1,28,3,30,1,28,1,13,1,12,1,13,1,28,8,30,1,28,38,30,1,28,3,30,1,13,2,17,1,10,1,13,1,30,2,6,1,28,1,13,1,8,2,6,4,13,1,7,1,10,1,9,1,17,7,11,1,17,1,13,2,30,1,29,2,8,1,11,1,13,2,29,1,6,1,7,1,10,1,17,5,16,1,10,1,11,1,9,1,16,1,10,1,11,1,17,4,8,1,13,1,6,1,13,1,6,1,8,3,6,1,28,36,30,1,6,2,9,1,10,1,12,1,13,1,28,1,30,1,28,3,30,1,11,1,17,6,16,2,12,1,9,1,10,1,8,2,7,1,6,2,30,1,6,1,13,1,29,1,13,1,24,2,8,1,11,2,16,1,17,2,16,1,14,1,29,1,28,16,13,1,30,2,6,1,30,1,28,1,30,1,28,1,30,3,28,1,6,1,29,1,30,4,6,1,29,1,30,1,28,1,29,1,30,1,29,1,28,1,30,1,29,1,30,2,6,2,30,1,6,1,30,1,6,6,30,1,28,1,6,2,28,1,6,1,30,1,29,1,6,1,28,2,29,1,28,1,6,1,30,3,28,1,30,2,6,1,30,1,6,4,28,1,30,2,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,2,29,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,13,1,30,2,28,3,30,5,6,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,7,1,28,2,30,1,29,2,30,3,6,1,28,1,30,4,28,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,29,1,30,2,6,2,29,1,30,2,6,2,13,1,6,1,7,1,6,5,7,1,13,3,6,1,30,1,28,1,30,1,28,2,30,4,28,3,30,2,28,1,30,10,28,1,6,1,30,1,6,2,30,1,6,1,17,1,12,1,24,6,12,3,10,1,12,1,17,11,10,1,12,1,11,2,9,1,10,1,8,1,24,1,8,2,13,1,8,1,6,1,8,1,13,2,7,4,6,1,29,1,30,1,29,1,30,1,29,1,30,5,29,1,30,1,29,1,13,2,7,1,13,1,6,1,13,4,7,1,8,1,13,4,6,1,7,1,9,1,8,1,13,1,9,1,13,3,6,1,13,2,6,1,13,2,6,1,13,1,6,2,13,1,7,1,29,1,30,2,6,1,28,8,30,1,28,21,30,1,28,3,30,8,6,1,29,1,6,1,13,3,24,1,10,1,11,1,8,1,13,2,7,1,13,3,7,1,6,1,8,1,6,1,29,1,6,1,30,2,7,1,6,1,7,2,29,1,6,1,7,1,6,4,7,1,6,4,30,1,6,1,29,2,6,1,7,1,13,2,10,1,9,2,10,1,13,1,9,1,13,3,9,1,8,3,9,1,13,1,8,1,24,1,7,1,10,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,13,2,8,2,13,4,6,1,13,2,8,1,13,1,7,1,13,3,7,1,13,1,8,1,6,1,13,1,7,1,13,1,7,1,13,2,6,1,13,2,7,1,13,3,7,1,6,1,7,1,6,1,13,2,6,3,7,1,6,2,7,1,13,1,6,2,13,2,6,1,29,1,7,3,6,1,29,1,13,2,7,1,13,1,6,1,13,9,8,2,9,1,8,1,6,1,28,11,6,1,29,1,8,1,26,1,27,1,29,1,27,2,30,1,28,4,30,1,29,2,8,1,25,1,27,2,25,1,26,3,25,1,26,1,25,4,24,6,8,1,24,1,25,2,26,1,24,1,27,1,26,1,25,1,29,1,28,1,30,1,6,2,13,1,6,2,13,2,11,1,9,2,11,1,8,1,13,2,6,3,13,2,7,1,6,1,30,1,13,1,6,2,30,1,28,1,29,1,30,2,6,3,30,1,6,1,30,1,13,1,6,2,30,1,6,1,28,1,29,1,30,2,6,1,30,2,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,2,29,1,28,2,30,2,28,2,30,1,28,1,30,2,28,2,30,1,28,2,30,2,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,8,30,1,28,5,30,2,28,2,30,3,28,1,30,1,28,2,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,3,28,1,30,2,28,1,13,1,6,1,30,2,13,1,6,2,28,1,30,1,28,2,30,1,6,3,30,3,6,1,28,2,30,3,28,3,6,1,28,1,6,1,28,1,30,4,28,1,13,2,30,1,28,3,29,1,28,1,6,1,28,3,30,1,28,13,30,1,28,2,30,1,28,8,30,1,28,13,13,1,28,1,30,1,28,11,30,1,28,22,30,1,6,2,29,1,28,3,30,2,28,2,30,1,13,1,28,8,30,1,6,1,29,1,30,1,28,2,29,1,6,1,29,1,13,5,6,1,28,5,30,1,28,1,30,1,28,1,13,1,7,1,6,1,13,2,6,1,13,1,6,1,29,1,28,1,6,1,9,1,17,1,7,1,28,1,30,4,6,1,28,1,6,1,13,1,6,2,30,1,9,1,13,1,28,1,6,1,28,3,6,1,17,1,6,1,30,1,28,1,6,1,28,3,30,2,28,7,30,1,28,2,30,2,28,2,30,2,6,1,13,1,6,1,13,1,28,1,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,1,30,2,6,2,28,1,30,1,13,1,6,1,13,1,9,1,13,2,9,1,6,1,13,1,8,1,9,1,13,1,6,1,30,1,13,1,6,1,30,1,13,1,6,1,7,1,6,2,13,1,28,4,6,1,13,1,7,1,6,3,30,2,28,1,30,1,6,2,30,2,7,1,13,1,6,1,13,1,6,1,13,1,8,1,6,2,7,1,6,1,13,1,30,1,28,2,29,1,6,1,13,1,28,1,30,1,6,2,30,1,7,1,13,2,6,1,7,1,13,2,30,2,13,2,28,1,6,1,13,2,6,1,30,1,13,1,30,2,28,4,30,1,13,2,7,1,13,1,9,1,13,1,6,1,13,1,6,1,30,1,28,6,30,1,28,12,30,1,6,1,30,1,28,8,30,1,6,1,28,2,30,1,28,1,30,1,28,1,30,2,28,2,6,1,30,1,28,16,17,2,6,1,28,5,30,1,28,7,30,1,28,4,30,2,28,6,30,1,28,13,30,1,28,15,30,1,6,1,30,1,28,2,6,1,28,22,30,2,28,2,6,1,28,3,6,1,30,2,28,5,30,1,28,2,30,1,28,24,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,1,30,3,6,1,13,2,6,1,28,1,30,1,28,16,6,1,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,6,1,28,2,6,1,30,2,28,8,30,1,28,25,6,1,30,1,28,2,30,1,28,1,30,5,28,15,13,1,30,1,13,6,8,1,9,1,13,1,9,1,13,2,6,1,13,5,9,1,8,1,9,1,13,1,8,1,10,1,13,1,9,3,17,3,11,1,12,1,9,1,17,1,10,1,13,1,8,1,11,2,17,1,11,4,17,1,12,1,17,8,11,3,17,2,12,1,17,1,11,1,17,7,11,2,6,1,30,7,28,1,7,1,13,1,28,1,30,4,29,1,28,1,30,1,28,1,30,1,6,1,29,2,6,1,29,2,30,1,28,1,30,1,28,1,29,2,30,3,29,1,30,1,6,1,30,1,28,1,30,2,6,1,28,1,30,1,28,4,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,2,30,1,6,1,30,1,6,1,30,1,6,1,7,1,13,2,9,1,13,1,9,1,13,1,9,2,8,1,9,1,10,1,9,3,10,1,9,1,11,2,10,1,9,1,10,1,9,1,13,1,6,2,28,24,30,1,28,19,6,1,28,12,30,1,28,1,30,3,28,1,29,2,6,2,13,1,6,3,13,1,6,1,7,1,6,2,13,1,7,1,13,1,29,1,6,1,28,1,6,1,30,3,6,1,28,1,30,1,6,1,30,6,6,1,30,7,29,2,30,3,13,1,6,2,30,2,7,1,29,1,30,1,6,2,29,1,6,1,30,1,6,1,13,1,6,3,13,3,8,1,6,1,13,5,8,1,13,2,9,1,7,1,13,1,7,1,8,1,13,1,6,1,13,1,9,2,8,3,9,1,8,1,13,3,6,1,13,2,6,1,13,1,6,2,29,1,6,2,13,2,8,1,7,1,13,3,9,2,17,2,16,1,6,4,13,1,30,3,6,1,30,2,29,1,28,1,6,1,30,1,29,2,6,2,30,1,6,1,29,1,6,2,29,1,6,1,29,1,7,1,6,2,30,1,7,1,6,2,29,1,6,1,7,2,6,1,7,1,13,1,9,2,10,1,11,1,10,1,17,2,16,1,17,1,8,1,28,3,30,1,28,2,30,1,28,3,30,1,28,6,29,1,28,16,6,1,28,2,30,1,28,4,30,1,28,1,6,2,13,1,8,1,9,2,8,1,13,3,7,1,6,1,13,1,6,1,7,1,6,1,7,1,30,1,7,1,6,6,7,1,6,1,13,3,30,1,29,1,7,1,6,1,7,1,30,1,6,1,7,1,30,1,13,1,6,3,29,1,6,1,13,1,30,1,6,1,13,1,6,1,30,1,6,1,7,1,6,1,7,1,29,1,13,1,6,3,13,1,7,1,6,1,13,1,6,1,8,1,7,1,6,1,13,1,7,1,13,8,6,1,13,1,6,1,13,2,6,1,13,7,8,1,13,3,7,1,13,1,7,1,13,1,7,2,13,1,7,1,13,3,8,1,29,1,7,2,13,2,6,2,13,4,7,1,13,1,29,1,13,1,6,1,7,1,13,2,6,1,13,4,7,1,13,1,7,1,13,1,6,1,13,2,9,1,13,1,6,1,13,1,6,1,28,45,29,1,13,2,28,1,6,1,28,1,6,2,28,3,30,1,6,1,13,1,8,1,30,1,28,15,6,1,17,2,11,1,9,1,13,1,6,1,7,1,6,1,29,1,30,1,28,9,30,2,7,1,13,1,29,1,9,1,10,1,9,1,10,2,17,2,13,1,28,6,7,1,8,1,6,1,28,42,29,1,13,2,28,3,11,1,17,1,16,1,7,1,28,1,30,2,6,1,7,1,13,1,9,1,11,1,17,2,10,1,28,6,6,1,13,2,28,14,6,1,28,2,}, {17,4,16,1,13,2,7,1,13,1,6,1,30,1,28,1,29,1,13,1,9,2,28,47,30,1,28,4,6,1,13,1,11,1,10,1,13,1,6,1,29,1,30,1,29,1,8,1,9,1,8,1,13,1,6,2,13,3,9,2,17,4,16,1,17,2,10,1,9,1,6,2,28,1,30,1,6,1,8,1,9,1,6,1,13,1,8,2,13,1,8,1,17,6,11,1,16,1,9,1,10,2,11,1,16,1,17,3,8,1,6,1,30,1,7,2,8,1,29,1,8,1,7,1,28,36,30,1,29,1,8,1,13,1,11,2,8,1,28,5,29,1,9,1,17,8,11,1,9,3,7,1,29,1,6,2,29,2,13,2,8,1,6,1,13,2,9,1,11,1,16,1,17,3,16,1,8,1,28,16,13,1,6,1,28,1,30,1,6,1,28,3,29,2,6,1,30,1,28,1,6,1,30,1,28,2,30,4,29,1,6,1,30,1,28,1,30,4,29,1,30,1,29,1,6,2,30,1,6,2,30,1,6,1,29,1,7,1,6,1,30,1,6,1,28,1,30,1,28,2,30,2,28,2,30,1,29,1,30,2,28,1,6,1,30,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,28,1,29,1,30,4,28,1,30,1,28,1,30,3,28,1,30,1,29,1,30,1,28,1,30,4,28,1,29,1,28,2,30,3,28,1,13,1,29,1,30,2,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,10,28,1,13,1,30,3,28,1,30,2,28,1,30,1,6,2,28,1,30,1,28,1,30,9,28,1,6,1,28,1,29,1,28,1,6,1,29,2,6,2,13,1,7,1,6,4,8,1,6,1,13,4,29,1,30,3,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,7,29,1,30,1,29,1,6,2,7,1,6,1,28,1,13,1,17,1,9,1,8,1,24,2,12,1,24,1,10,2,24,1,17,1,12,1,10,1,17,7,11,1,17,4,10,2,12,1,10,1,24,1,8,1,9,1,24,1,9,1,13,3,8,2,13,1,6,1,13,1,7,1,6,1,30,1,29,1,30,1,29,1,6,1,29,1,6,1,30,1,6,1,30,2,28,1,6,1,30,1,8,2,30,1,13,3,6,1,13,2,7,1,8,1,6,1,7,1,13,2,7,1,13,1,6,1,13,2,8,1,13,1,8,1,13,1,8,1,6,1,13,1,7,1,13,2,6,1,7,1,6,3,29,1,30,2,29,1,30,3,28,3,30,1,28,3,30,1,28,14,30,1,28,3,30,1,28,3,30,2,28,2,30,1,28,2,30,2,6,1,30,1,7,1,8,1,13,4,9,1,11,1,13,3,8,1,13,3,7,1,13,1,6,1,13,2,6,2,13,1,29,1,6,2,30,1,6,1,7,1,6,1,7,1,6,1,29,1,6,2,7,1,6,2,29,1,6,2,28,1,7,1,30,1,6,1,7,1,8,1,9,1,8,2,11,1,10,1,9,4,13,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,13,1,8,2,9,1,8,1,13,2,8,1,7,1,13,1,8,1,13,1,6,1,8,1,13,1,8,1,13,3,9,1,13,3,7,1,13,1,8,1,7,1,13,1,6,1,7,2,13,2,7,1,13,1,7,1,6,1,13,1,7,1,13,1,8,1,13,2,7,2,6,1,13,2,6,2,13,1,6,1,7,1,13,1,8,2,7,1,6,1,13,1,30,1,13,1,6,1,13,1,7,2,29,1,6,2,13,1,7,2,13,3,8,1,13,1,8,1,13,6,9,1,13,2,30,1,28,10,30,1,29,1,27,3,26,1,27,4,28,1,30,1,28,2,27,1,30,1,29,1,30,1,25,1,26,1,27,2,26,1,25,1,26,1,25,2,26,1,25,1,26,1,25,1,24,7,25,2,24,1,25,4,24,1,13,1,29,1,7,1,6,4,7,1,13,1,6,1,13,1,9,2,11,1,8,1,6,1,30,1,6,1,28,1,30,1,6,1,30,2,6,5,30,1,6,1,30,3,6,2,29,1,30,1,6,1,30,3,6,1,30,2,28,1,29,1,30,3,6,1,28,1,30,2,29,1,6,1,28,8,30,1,28,4,30,1,28,1,30,3,28,2,30,1,28,8,30,1,28,6,30,1,28,10,30,1,28,3,30,1,28,2,30,4,28,8,30,2,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,3,6,1,29,1,30,1,28,10,30,3,6,1,28,1,30,1,29,1,28,2,6,1,30,6,28,3,30,1,28,1,30,1,28,1,30,3,28,1,30,2,6,1,28,1,30,1,17,1,13,1,28,1,30,3,6,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,20,30,1,28,8,30,1,6,2,28,1,6,1,10,1,8,1,30,1,28,3,29,1,28,1,30,2,13,1,6,6,13,2,28,3,30,4,6,1,28,9,30,2,28,43,30,1,28,4,6,1,30,2,13,1,8,1,9,1,13,1,11,1,17,1,13,2,6,1,28,2,30,1,6,1,13,1,7,1,6,1,30,4,6,1,8,1,30,1,6,1,28,2,30,1,8,1,9,1,8,1,28,4,30,2,28,5,30,1,28,13,13,1,28,67,30,1,6,1,28,7,7,1,30,1,28,1,30,1,28,66,6,1,28,6,30,1,28,1,30,10,9,1,13,1,6,1,7,1,6,2,28,1,6,1,30,2,6,1,13,2,6,1,28,5,30,1,17,1,9,1,30,1,28,4,30,4,6,1,30,1,6,1,30,1,28,3,30,1,6,2,13,2,6,2,13,1,6,1,28,1,30,1,28,1,30,1,6,1,30,2,28,6,30,2,28,4,30,1,28,4,30,2,28,3,30,2,28,5,30,1,28,1,30,1,28,4,30,1,28,15,30,1,28,2,30,1,28,1,30,2,28,1,30,4,28,5,6,1,28,2,30,2,28,2,30,1,28,13,30,1,28,9,30,1,28,1,30,1,28,4,30,1,28,9,30,1,13,2,6,1,30,1,6,1,29,1,28,13,30,1,28,3,30,1,13,1,30,2,28,3,30,3,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,8,6,1,29,1,28,6,30,1,28,31,30,3,29,2,30,1,28,1,30,1,28,14,6,1,7,1,13,1,7,1,13,1,9,1,13,3,9,1,8,1,13,3,7,1,13,4,9,1,8,2,9,2,13,1,8,1,13,1,9,2,11,1,17,4,16,1,11,1,9,1,13,1,9,2,11,6,17,1,9,1,17,2,12,1,17,1,12,1,17,7,12,1,11,1,17,1,11,1,17,6,11,1,17,1,10,1,11,1,10,1,30,1,7,1,30,1,28,1,6,1,30,3,6,1,7,1,28,1,30,1,28,1,29,1,28,1,30,1,6,1,28,1,30,1,29,1,6,1,29,1,6,2,28,1,30,2,28,1,30,1,28,1,30,2,6,1,30,2,28,2,30,1,28,2,30,2,28,3,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,29,1,6,1,30,1,6,1,7,1,13,3,8,1,13,1,8,1,13,1,8,3,9,4,10,1,9,2,8,1,10,1,9,2,11,1,10,3,9,1,13,1,30,1,6,1,29,1,28,41,30,1,28,15,30,1,28,1,30,3,6,7,7,2,6,2,30,1,13,2,6,2,30,1,6,1,29,1,6,1,30,3,7,1,6,1,30,1,13,1,30,1,6,2,30,1,29,1,30,1,29,1,30,1,28,1,29,1,28,1,30,2,6,1,30,2,28,1,6,3,28,1,7,1,6,1,30,1,29,1,6,1,30,2,6,1,29,1,6,2,30,1,6,1,30,1,6,1,13,2,7,1,6,2,13,1,6,2,13,1,6,1,13,1,7,1,6,2,13,1,7,1,8,1,7,1,13,2,8,3,13,2,8,1,13,1,8,1,13,1,7,1,13,1,8,1,13,2,7,1,6,1,13,3,6,1,13,5,6,1,13,2,12,1,17,2,9,1,30,1,28,1,30,2,6,1,29,1,28,1,29,1,6,1,29,1,30,1,28,1,30,5,29,3,6,1,29,2,6,1,29,2,30,1,7,1,6,1,29,3,6,6,13,1,7,1,13,2,9,1,10,2,12,1,17,5,6,1,28,4,30,2,28,5,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,10,30,1,28,4,30,1,28,1,30,1,6,1,30,1,6,2,9,1,13,1,8,1,9,1,7,1,13,3,6,1,13,3,6,1,13,2,7,2,6,1,13,1,7,1,13,4,7,1,13,1,30,1,13,2,6,1,30,1,13,2,30,1,6,2,7,1,6,1,30,1,13,1,7,1,6,1,13,5,6,1,7,1,13,2,6,2,13,1,7,1,6,2,13,4,7,1,13,3,7,1,13,1,6,1,13,1,6,2,13,2,7,1,13,5,6,1,13,1,8,1,13,4,7,1,13,4,7,2,8,1,7,1,8,1,7,2,13,1,7,2,13,2,7,1,13,3,7,1,6,2,7,2,13,3,7,1,13,1,29,1,13,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,4,6,1,13,1,28,35,30,3,28,6,30,1,6,1,13,1,9,1,6,1,28,1,30,1,6,1,30,2,28,1,30,1,6,1,13,3,28,16,13,1,17,2,9,1,13,2,6,2,30,1,6,2,28,1,30,1,28,8,30,1,28,1,6,1,13,2,8,1,12,1,8,1,9,1,17,2,9,1,28,6,13,2,6,1,28,42,29,1,13,1,30,1,28,3,17,3,6,1,28,1,30,3,13,3,11,1,17,2,11,1,28,7,13,1,6,1,28,9,30,1,28,4,29,1,28,2,}, {17,4,16,1,8,1,13,2,6,1,28,1,30,1,29,1,28,1,7,1,17,1,8,1,28,13,29,1,28,31,30,1,28,5,30,1,8,1,24,1,12,1,16,1,9,1,28,1,13,1,28,1,30,1,7,1,8,1,13,2,7,1,6,1,7,2,9,2,17,1,16,1,17,6,16,1,9,1,7,1,28,1,29,1,28,1,7,1,13,1,17,1,8,1,30,1,8,1,13,1,6,1,13,1,17,5,16,1,17,1,11,2,9,2,11,1,17,4,9,2,13,1,7,1,13,3,24,1,6,1,28,36,30,1,6,1,7,1,8,1,11,1,17,1,8,1,6,1,28,5,10,1,17,7,11,1,9,1,13,1,10,1,9,1,13,1,6,1,13,1,30,2,29,1,6,1,8,2,29,1,13,3,12,1,17,2,16,1,17,1,14,1,11,1,28,16,9,1,7,1,30,1,28,1,6,1,30,3,6,3,30,2,6,1,30,2,28,1,30,3,6,1,30,2,6,1,30,2,28,1,30,2,6,1,29,1,28,1,30,1,13,1,30,2,6,1,30,2,29,1,6,1,30,1,6,1,28,1,30,1,6,1,28,2,6,1,30,1,29,1,28,1,30,1,29,1,30,2,29,1,28,1,30,2,6,1,30,1,6,1,30,1,28,2,30,1,6,2,30,1,6,1,30,2,28,1,30,1,28,1,30,3,28,2,30,1,29,1,30,3,29,1,28,2,30,2,28,1,29,1,28,3,30,2,29,1,30,2,28,1,30,1,28,4,30,1,28,2,6,1,28,1,29,1,28,3,30,1,28,4,30,2,29,1,30,1,6,1,30,1,28,1,30,4,6,1,30,1,6,1,30,2,6,1,28,1,29,2,30,1,29,3,28,1,6,2,30,1,6,1,28,1,30,1,7,1,6,3,8,1,29,1,6,5,13,1,8,1,13,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,3,28,1,29,1,28,2,30,3,28,1,6,1,30,1,6,1,7,1,6,2,28,1,6,1,17,1,8,2,24,7,12,1,24,1,10,1,17,7,12,1,17,2,9,1,17,1,12,1,10,1,24,1,10,1,24,1,9,1,8,2,9,1,8,1,13,5,8,1,7,1,13,2,7,1,6,1,28,1,29,1,30,1,29,1,6,1,28,1,30,3,28,1,30,1,6,1,9,1,13,1,30,1,8,1,13,1,8,1,6,1,13,2,6,1,13,1,6,1,13,2,6,1,13,4,8,1,9,1,13,3,7,2,13,1,7,1,13,1,7,1,6,1,30,1,29,1,13,1,30,1,6,1,30,1,29,1,30,3,28,6,30,1,28,21,30,1,28,2,30,1,28,3,30,1,28,1,30,3,29,1,6,3,13,3,9,1,8,1,17,1,8,1,13,1,6,1,13,2,8,1,6,1,13,2,6,1,7,1,6,4,7,2,6,2,29,1,7,1,6,2,30,1,29,1,6,2,13,1,7,1,6,1,7,1,30,1,6,5,7,3,8,1,13,1,10,1,8,1,10,1,11,1,13,1,9,1,13,1,9,1,8,1,13,2,8,1,13,1,7,1,9,1,13,2,8,2,13,2,8,2,13,1,8,1,13,2,24,1,13,4,8,1,13,6,7,1,13,1,7,1,13,3,6,1,13,1,6,2,13,1,6,2,13,1,29,1,13,1,7,3,13,2,7,1,6,1,13,2,7,1,13,1,8,1,6,1,13,1,6,1,13,2,7,1,6,1,13,1,6,1,7,2,13,1,7,1,6,1,13,4,7,1,13,2,8,2,13,2,8,1,13,2,9,1,16,1,17,1,13,1,28,10,30,2,29,2,26,4,27,1,25,1,27,1,29,1,30,1,28,1,30,2,29,1,30,1,29,3,27,2,26,1,27,2,26,1,25,2,27,2,25,1,24,1,8,1,24,6,8,1,24,1,8,2,25,1,24,1,26,1,25,1,6,1,29,1,30,1,6,1,29,1,6,3,30,1,13,1,8,1,9,1,8,1,13,2,30,6,6,1,28,1,6,1,30,1,28,1,6,1,13,1,30,1,6,1,30,1,6,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,3,30,2,28,9,30,1,28,5,30,2,28,2,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,3,6,1,28,1,30,1,29,1,30,2,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,5,28,1,30,2,6,1,30,1,28,4,30,4,28,1,30,1,28,1,30,4,28,1,30,1,6,1,28,2,30,7,28,1,30,1,6,2,28,1,30,2,28,1,30,1,6,1,30,1,6,1,30,3,16,1,13,1,28,1,29,1,30,5,28,4,30,1,28,5,30,1,28,1,30,1,6,1,30,1,29,1,28,4,6,1,13,2,9,1,30,1,28,3,8,1,6,6,30,1,13,2,9,2,17,1,16,1,9,1,7,1,6,1,28,2,30,1,28,9,30,2,28,2,30,1,28,3,30,2,28,1,30,1,28,7,6,1,28,13,30,1,28,40,13,1,9,1,8,1,28,4,30,2,28,3,30,1,6,1,30,1,28,11,13,1,30,1,28,27,13,1,28,28,30,2,28,5,30,2,28,8,30,3,29,1,30,1,6,1,30,1,6,2,30,1,28,1,30,1,28,3,30,1,6,2,30,1,6,1,28,1,7,1,9,1,7,1,6,1,30,3,6,2,30,1,6,1,7,1,30,1,6,3,29,1,30,1,6,2,30,1,13,1,30,2,29,1,6,1,30,2,6,2,30,1,28,1,7,1,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,6,30,2,29,1,7,1,6,2,7,1,30,1,6,2,30,2,28,1,30,2,28,2,30,1,28,4,30,1,28,19,30,1,28,2,30,1,28,16,13,1,6,1,28,18,30,1,28,1,30,1,6,1,30,1,28,1,30,1,6,1,28,2,6,2,28,2,6,1,28,1,7,1,13,3,9,1,8,1,13,2,9,1,13,1,6,1,13,1,9,1,13,1,28,1,7,1,13,4,9,1,7,1,30,1,28,1,13,1,7,1,13,1,6,1,30,1,13,1,30,1,6,2,30,2,13,1,30,4,6,1,30,1,28,2,6,1,30,2,28,3,30,3,13,1,30,2,28,2,30,2,13,1,30,1,28,1,30,1,28,2,30,1,28,1,29,1,28,3,30,1,28,20,30,1,28,9,30,2,28,11,6,2,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,5,30,1,28,9,13,1,6,1,28,1,30,4,28,7,30,4,28,4,30,1,28,4,6,1,28,1,30,1,28,3,6,1,30,2,28,36,30,1,28,2,6,1,28,2,29,1,30,1,28,1,29,1,28,15,7,1,13,2,9,2,13,1,8,1,13,1,9,1,13,1,8,1,9,2,13,2,6,1,9,1,13,1,9,1,13,2,8,2,9,1,8,1,9,1,13,1,9,1,17,2,16,1,17,3,11,1,10,1,9,2,6,1,9,1,16,1,11,8,12,1,17,10,11,1,17,2,12,1,17,5,12,1,11,1,17,2,11,1,13,1,30,1,6,1,30,1,28,1,30,3,8,1,29,1,30,8,6,1,30,3,29,1,30,5,6,1,30,1,6,2,30,1,29,1,30,3,28,1,30,3,28,1,30,2,28,2,30,1,28,1,30,2,29,1,30,1,28,1,30,1,29,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,6,1,7,1,29,1,13,5,9,1,8,1,9,1,13,1,9,2,13,1,9,1,8,1,9,2,10,1,9,1,10,1,11,1,9,1,10,1,16,1,13,1,9,1,13,1,6,1,30,2,28,40,6,1,28,17,30,1,29,1,6,1,30,1,6,3,29,1,13,1,7,1,30,1,6,3,13,2,6,3,30,1,6,2,30,1,29,1,28,1,30,1,6,2,30,3,28,1,6,1,29,1,6,1,30,1,29,2,30,3,28,1,30,1,28,1,30,1,28,1,6,1,13,1,29,1,6,1,30,1,6,2,7,1,30,1,6,4,30,2,13,1,6,1,7,1,29,1,6,2,7,1,6,1,13,3,6,1,13,11,8,2,13,3,9,1,13,4,8,1,13,3,6,1,13,1,6,4,13,2,6,1,8,1,13,1,6,1,13,1,8,1,10,1,16,1,17,1,9,1,6,2,30,1,28,1,30,3,29,1,6,1,30,2,28,1,30,6,6,6,29,1,30,1,6,1,30,1,29,1,13,1,29,2,6,1,29,1,6,1,30,1,7,2,29,1,7,1,13,1,7,1,13,1,8,1,9,2,17,6,16,1,6,1,28,2,30,2,28,3,30,1,28,9,30,1,29,1,28,19,30,1,28,7,30,1,28,2,30,2,28,1,6,1,13,1,9,1,7,1,8,1,9,1,8,2,9,1,13,3,7,1,13,3,6,2,13,7,30,1,8,1,7,1,6,1,13,2,6,1,7,1,13,2,6,1,13,2,6,2,28,1,13,1,6,1,13,1,6,2,13,1,7,1,13,2,30,1,13,1,6,1,13,5,7,2,6,1,13,2,6,1,7,3,13,3,7,1,13,2,8,1,13,2,7,1,8,1,13,3,8,1,13,13,6,1,13,1,6,1,13,5,7,1,13,4,7,1,6,1,13,1,6,1,13,11,7,2,13,1,8,1,6,1,13,5,6,2,28,34,30,2,28,8,30,1,6,1,13,1,8,1,16,1,6,1,13,3,28,3,6,1,13,3,28,16,30,1,17,1,16,2,9,1,13,1,6,1,7,1,13,2,6,1,28,1,7,1,28,8,30,2,6,1,13,1,8,1,9,2,11,1,9,1,12,1,17,1,13,1,28,6,6,1,9,1,13,1,28,42,7,1,13,1,29,1,30,1,28,1,30,1,17,2,16,1,30,1,28,2,29,1,13,3,9,1,11,1,9,1,16,1,11,1,28,6,7,1,6,2,28,13,30,1,28,3,}, {17,4,9,2,24,1,7,1,29,1,30,2,28,2,6,1,24,1,13,1,28,15,29,1,28,23,30,1,28,6,30,1,28,5,6,1,13,1,17,1,9,1,8,1,7,1,28,1,6,1,28,1,13,1,9,1,8,2,30,1,13,1,6,1,13,1,8,1,9,1,10,1,11,1,17,3,16,1,17,2,16,1,9,1,24,1,28,1,30,1,28,1,6,1,11,1,12,1,8,1,13,1,6,1,13,2,6,1,17,4,16,1,9,1,16,1,11,1,9,1,13,1,9,2,17,4,9,1,13,1,6,2,13,1,6,1,24,1,8,1,6,1,28,36,29,1,7,1,13,1,8,1,9,1,17,1,24,1,6,1,30,1,28,1,30,1,28,1,30,1,9,1,17,7,16,1,8,1,9,2,13,3,6,1,28,1,30,1,6,2,24,1,7,1,8,2,13,2,9,1,17,2,16,1,17,1,14,1,9,1,28,16,13,1,6,1,29,1,28,1,30,2,29,1,28,1,13,1,30,1,29,1,30,5,28,1,6,1,29,1,30,1,29,1,30,2,6,1,30,1,28,1,30,2,28,1,29,1,30,3,6,1,30,1,28,2,30,1,28,1,30,11,28,1,6,1,30,1,29,1,30,1,28,1,30,1,6,1,28,1,6,1,30,2,28,1,30,2,6,5,28,1,30,1,28,3,30,1,28,2,30,2,6,1,28,1,30,3,28,5,29,1,28,2,30,3,29,1,30,4,28,3,30,2,28,1,30,2,28,2,30,3,29,1,30,5,29,1,28,1,30,2,6,1,30,2,28,1,6,2,30,2,28,2,30,1,29,1,30,1,28,1,30,3,6,1,30,6,28,1,30,1,6,1,7,1,30,1,13,4,6,1,13,1,6,2,13,3,7,1,6,1,13,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,2,28,4,30,1,29,1,30,2,28,1,30,1,29,1,6,1,13,1,28,1,6,1,28,1,24,1,12,1,24,2,8,1,24,1,8,2,24,4,10,1,12,1,17,8,12,1,17,1,11,2,17,1,11,1,24,1,9,2,24,1,13,1,10,1,24,1,8,1,13,1,7,1,13,2,7,1,13,3,7,1,6,2,29,2,30,2,29,1,30,2,6,1,30,2,28,1,6,1,9,1,13,2,7,1,8,1,13,1,8,1,13,3,6,1,13,5,8,2,11,1,8,1,13,1,9,1,13,1,7,3,13,4,7,1,6,4,29,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,2,28,3,29,1,30,1,28,1,30,1,28,8,30,1,28,9,30,1,28,1,30,1,28,1,30,3,29,1,28,1,30,1,6,1,29,1,6,1,7,2,13,1,9,1,8,1,11,1,13,2,6,1,8,1,13,2,8,1,13,1,6,1,13,2,7,1,6,1,30,1,7,1,6,1,13,1,6,1,7,2,6,2,29,1,7,1,6,2,7,1,29,1,6,1,30,1,28,1,6,1,29,1,6,1,30,1,6,1,13,1,7,1,6,2,13,1,9,2,13,1,9,3,13,1,9,2,8,3,9,1,8,2,13,1,8,4,7,1,6,1,9,1,13,2,8,1,9,1,13,1,8,1,13,2,8,1,6,1,8,4,13,1,7,1,8,1,13,1,8,1,7,2,13,2,6,1,13,1,7,1,6,1,7,2,13,2,6,1,13,1,7,1,13,1,7,1,6,1,7,1,13,5,24,1,13,3,6,1,7,1,13,1,7,1,13,1,8,1,13,2,7,2,13,1,7,1,13,3,8,1,13,2,8,1,13,1,8,1,7,1,6,1,13,1,9,1,17,1,16,1,6,1,28,11,29,1,6,1,29,2,25,3,26,2,29,1,26,1,27,1,30,1,28,1,29,1,30,1,28,1,30,1,29,1,27,1,8,1,25,1,27,2,29,1,27,1,8,1,25,3,27,1,24,10,25,1,8,1,24,1,25,2,24,1,25,1,6,1,29,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,30,1,13,1,9,1,13,1,9,1,13,1,30,1,28,1,6,1,30,6,28,1,6,1,28,1,6,1,30,1,28,1,30,2,28,2,30,4,28,1,30,2,29,1,28,1,30,1,28,1,30,2,6,1,29,1,30,1,29,1,28,1,30,2,28,1,30,1,28,1,30,3,28,4,30,2,28,1,30,1,28,5,30,2,28,8,30,3,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,4,30,4,28,2,30,1,28,1,30,3,28,2,30,2,28,1,6,1,28,2,30,1,28,1,30,6,6,1,30,2,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,1,29,1,30,2,28,1,29,1,6,1,30,1,29,1,30,4,28,1,29,1,28,7,29,1,6,2,13,1,30,1,13,1,28,1,8,1,30,1,28,4,30,1,28,1,30,1,28,1,6,1,30,1,28,9,6,1,30,1,28,21,30,1,6,1,30,1,7,2,28,4,6,1,30,1,6,1,28,2,30,2,29,1,30,1,29,1,30,2,29,1,30,3,29,2,30,2,7,1,29,1,6,1,30,1,13,1,6,1,7,1,30,2,6,1,29,2,6,1,30,1,7,1,29,1,6,1,30,1,6,1,30,1,6,2,29,1,7,1,30,2,29,1,28,1,6,3,30,2,6,1,28,1,6,2,30,5,28,2,6,1,29,1,28,1,30,2,28,1,6,1,30,2,29,1,6,1,13,1,7,1,30,2,13,2,29,1,13,2,6,1,13,1,7,1,10,1,13,1,9,1,28,5,30,1,28,16,30,1,13,1,30,1,28,6,30,1,28,1,6,1,30,1,6,2,13,1,7,1,6,2,13,1,29,1,28,2,30,1,29,1,30,1,7,1,6,2,13,1,16,1,13,2,6,2,30,2,29,2,6,2,30,1,6,4,30,1,6,2,13,1,6,1,13,2,7,1,13,4,8,1,6,3,29,1,6,3,30,1,13,1,7,1,6,3,30,1,29,1,6,2,30,1,13,1,6,3,30,1,6,1,29,1,30,1,6,4,30,1,6,1,13,1,30,1,6,2,29,1,13,2,30,2,13,1,6,2,13,1,7,2,6,1,13,2,29,1,13,3,30,1,13,1,6,1,13,1,6,1,13,3,29,1,6,4,30,1,13,4,6,2,13,1,6,2,13,1,30,1,6,4,30,1,6,2,13,2,7,1,13,1,9,1,13,1,8,2,6,1,13,3,7,1,13,2,6,2,13,1,6,1,13,1,6,2,30,1,6,1,13,1,6,2,13,2,9,1,13,3,6,1,30,2,6,1,30,1,13,3,30,1,6,2,13,1,7,1,6,1,13,1,7,1,6,1,29,1,6,1,29,1,13,1,6,2,29,1,6,1,30,1,29,1,30,1,29,1,30,1,6,1,7,1,30,1,28,4,10,1,13,1,28,53,30,1,28,8,30,1,28,5,30,1,6,2,30,1,13,2,6,2,28,1,30,1,6,1,30,1,28,1,30,1,13,1,8,1,9,1,13,2,10,1,13,1,8,1,11,2,13,3,16,2,11,1,9,1,17,1,9,1,13,1,6,1,8,1,10,1,16,1,13,1,9,2,13,1,17,1,9,3,13,1,11,1,9,2,13,1,30,1,13,2,6,1,28,1,30,1,28,2,6,1,30,2,28,4,8,1,30,1,28,12,30,1,28,4,30,1,6,1,28,18,30,1,6,1,30,2,28,3,30,1,7,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,7,30,1,28,1,30,1,6,1,28,2,30,1,28,2,6,2,28,1,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,12,30,1,28,7,30,1,28,3,30,2,29,1,28,1,30,2,28,1,30,1,28,16,30,1,13,5,9,1,13,2,8,1,13,7,8,3,9,1,13,1,7,1,13,1,8,1,13,1,11,2,16,1,17,2,16,1,17,2,16,1,11,1,17,1,8,1,9,1,8,1,11,1,10,1,16,1,11,2,16,1,11,1,17,1,9,1,11,1,17,2,11,1,12,1,11,1,17,9,11,2,12,1,17,1,12,1,17,3,11,1,9,2,13,1,6,1,30,4,6,1,13,1,30,1,28,2,30,1,28,2,30,6,29,1,6,1,30,2,6,2,28,1,29,1,30,2,6,1,30,1,29,1,6,1,30,4,28,1,30,2,28,1,30,1,28,2,30,1,28,2,6,1,30,1,28,2,30,5,28,1,30,1,28,1,30,1,28,1,6,2,30,1,6,1,13,10,8,1,9,2,13,1,9,1,8,1,9,6,11,1,9,1,12,1,11,1,17,1,8,1,30,3,28,39,6,1,28,17,30,2,28,1,29,1,6,1,30,1,29,1,13,1,6,2,30,1,13,1,7,1,6,1,13,2,30,1,6,1,7,1,6,1,29,2,30,1,6,1,30,1,6,1,30,4,6,1,30,1,6,1,7,1,6,1,30,1,28,2,30,4,6,3,30,1,6,1,29,1,6,1,30,3,6,1,29,1,6,1,30,3,6,1,7,1,30,1,6,3,30,1,6,1,13,3,7,1,30,1,6,1,13,15,8,1,6,1,8,1,13,1,8,2,13,4,7,1,6,3,7,1,6,2,13,1,7,1,6,1,13,1,8,1,13,1,9,1,13,1,11,1,17,1,6,1,30,1,28,2,30,3,29,1,30,1,28,3,30,2,29,2,30,4,6,1,30,1,29,2,6,1,30,1,6,2,30,1,6,2,7,1,6,1,29,1,30,1,6,1,29,1,6,1,13,1,29,1,7,1,6,1,8,1,6,1,13,1,8,1,9,1,10,1,11,1,17,6,6,1,28,3,30,3,28,2,30,1,28,3,30,1,28,5,30,1,28,4,30,3,28,5,30,1,28,19,30,1,28,1,6,1,9,1,13,1,7,1,13,2,9,1,8,2,9,3,13,1,9,1,7,1,8,1,9,1,13,3,8,1,9,1,8,2,13,1,8,1,7,1,13,1,6,1,13,2,7,4,13,1,6,1,13,2,7,1,13,3,7,1,9,1,6,1,7,2,13,2,7,1,6,1,13,3,6,1,13,4,6,1,13,8,8,1,13,1,8,1,9,1,8,1,9,1,8,1,13,3,10,1,8,1,6,1,13,1,6,1,9,1,13,1,8,1,13,3,8,1,13,2,8,1,13,1,7,1,13,6,6,2,13,1,7,1,13,1,29,1,6,1,13,1,8,1,13,1,6,1,13,9,7,1,13,2,6,1,13,5,6,1,13,1,7,1,28,34,30,2,28,8,30,3,9,1,11,2,10,1,8,1,9,1,30,1,28,1,30,1,6,2,13,1,8,1,29,1,28,15,6,1,17,2,10,1,9,1,13,1,7,1,29,1,7,1,30,2,28,1,30,1,28,9,30,2,13,1,8,1,9,3,11,1,17,2,8,1,28,6,13,1,8,1,13,1,28,42,6,1,30,1,28,1,30,3,17,2,9,1,13,1,28,1,30,1,29,1,7,1,13,1,8,1,9,1,16,2,17,1,8,1,28,6,30,1,13,1,28,11,30,4,28,3,}, {17,4,16,1,9,1,8,1,13,1,6,1,29,1,28,4,17,1,7,1,28,13,30,1,28,37,6,1,13,1,8,1,12,1,8,2,13,1,6,2,30,1,13,1,9,1,8,1,6,1,13,3,6,1,8,1,11,1,17,3,12,1,17,3,16,1,11,2,13,1,30,3,7,1,9,1,12,1,6,1,13,1,8,1,13,1,6,1,7,1,11,1,17,5,11,1,9,1,10,2,9,1,10,1,12,1,17,3,11,1,13,2,7,1,13,1,6,1,13,1,8,1,7,1,6,1,28,36,7,1,8,1,13,1,11,2,8,1,13,1,28,4,30,1,9,1,17,7,16,1,9,1,8,3,13,2,29,2,30,1,6,2,8,1,6,1,8,1,13,1,8,1,13,1,8,1,11,1,17,4,9,1,28,16,13,2,30,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,28,1,30,1,29,1,30,2,6,1,30,5,29,1,28,1,6,3,30,1,6,2,29,1,7,1,30,1,6,2,30,5,6,1,29,1,28,1,30,1,28,1,30,4,29,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,29,1,30,3,6,2,29,2,30,1,28,3,6,1,30,1,28,1,30,1,28,1,30,3,29,1,30,2,29,2,28,1,6,1,30,4,28,2,30,3,28,1,30,1,28,3,30,1,6,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,3,28,1,30,4,28,2,30,6,29,1,30,1,29,1,28,1,30,1,29,1,28,1,29,1,28,1,30,1,29,1,6,1,30,2,29,1,30,1,29,2,13,1,7,1,13,3,6,1,29,1,6,2,13,1,29,1,13,2,6,1,13,2,30,1,29,1,30,7,28,1,29,1,30,1,6,1,28,1,30,2,28,1,30,4,28,1,30,3,6,1,30,2,28,1,29,1,6,1,9,1,12,1,8,3,24,3,12,1,15,1,17,1,12,2,17,11,12,1,10,1,8,1,12,1,9,1,8,1,12,1,8,1,24,1,8,4,13,1,8,1,13,1,7,2,13,1,9,1,7,1,6,3,30,4,28,1,30,1,29,1,28,1,30,1,28,1,6,1,9,2,13,1,8,2,13,1,6,1,7,1,13,1,7,3,13,2,8,1,13,2,9,1,13,2,9,1,13,2,7,1,13,4,6,1,13,1,6,5,29,1,6,1,29,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,13,30,1,28,9,30,1,28,5,29,1,28,2,30,1,6,3,7,1,13,1,6,1,8,1,9,1,8,1,11,1,13,1,8,1,13,3,8,2,7,1,13,1,8,1,7,2,6,1,7,1,6,2,13,1,30,1,6,1,13,1,6,2,29,2,6,1,30,1,28,1,6,1,7,1,29,1,13,1,29,2,13,1,6,2,7,2,6,2,13,2,9,1,13,1,9,2,13,1,11,1,7,1,13,2,8,3,13,1,8,2,13,2,7,1,8,1,13,1,9,1,8,1,13,3,8,1,13,2,8,1,9,1,8,2,6,1,24,2,8,1,13,1,8,1,13,2,7,1,8,2,13,7,7,1,6,2,13,5,8,1,13,1,8,1,13,1,6,1,8,1,13,1,6,1,7,1,8,1,13,4,7,1,24,1,13,2,6,1,13,1,7,1,13,1,7,1,13,6,8,2,13,1,9,3,13,1,28,14,6,1,27,2,26,1,25,1,26,1,27,2,26,2,27,1,29,3,30,2,27,2,30,2,8,2,27,1,26,1,29,2,25,1,8,1,25,5,24,2,25,1,24,3,25,1,24,3,25,1,8,1,25,2,6,2,29,1,28,1,6,1,28,1,6,1,30,1,28,1,29,1,7,1,9,2,8,1,9,1,13,1,29,1,30,2,28,1,30,1,6,1,28,1,30,1,6,2,28,1,6,2,30,1,6,1,30,7,28,1,30,4,29,1,28,1,6,1,28,1,29,1,28,1,6,1,30,1,28,1,29,1,30,2,6,1,30,1,28,1,30,2,28,1,30,3,28,3,30,2,28,4,30,1,28,5,6,1,30,1,28,1,30,1,28,2,29,1,28,1,30,3,28,2,30,1,28,3,30,1,28,2,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,3,30,4,28,1,6,1,28,1,30,2,6,1,30,2,28,1,30,4,6,4,30,1,6,1,28,3,30,2,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,18,30,1,6,1,28,1,6,1,28,16,30,1,28,12,30,1,28,3,30,5,28,2,6,1,13,2,9,1,30,1,6,1,30,1,29,1,6,2,13,1,30,1,6,2,29,1,6,1,13,1,30,1,6,1,29,1,6,9,13,1,6,1,13,1,30,1,6,1,13,1,6,1,7,1,6,4,30,2,6,2,7,1,6,3,30,1,6,1,29,1,6,5,28,1,13,1,30,3,6,1,30,1,6,1,28,1,30,2,13,1,30,1,7,1,30,1,13,1,7,1,13,1,6,1,30,1,29,1,30,1,6,1,13,1,6,1,13,1,6,1,30,1,13,1,29,1,13,2,6,2,13,1,30,1,6,1,13,1,6,1,13,1,6,1,29,1,9,2,17,1,28,1,6,1,30,3,6,2,13,3,29,1,30,1,28,1,30,1,28,2,29,1,28,1,30,1,29,1,30,1,6,1,8,1,6,1,29,1,30,1,7,1,13,6,6,2,13,1,6,3,13,7,6,4,13,1,9,1,8,1,29,1,13,1,6,2,30,1,6,2,30,2,29,1,6,1,29,1,6,1,30,2,6,1,29,1,6,3,13,1,6,1,30,1,13,2,6,1,13,1,30,1,6,1,13,2,6,1,28,1,13,1,6,4,29,1,6,2,30,2,6,1,29,1,6,2,30,1,6,2,29,1,30,1,6,1,29,1,30,2,28,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,6,3,13,2,30,1,7,2,6,1,30,1,6,2,13,3,7,1,13,1,6,1,13,1,9,1,30,1,13,1,29,1,13,1,6,1,7,3,13,2,6,3,13,1,7,1,6,1,7,1,6,1,13,1,8,1,13,1,6,1,30,1,6,5,13,1,6,3,13,1,6,2,13,1,6,1,13,1,6,1,7,1,13,1,7,1,6,1,13,2,8,1,13,7,6,1,30,2,6,1,13,1,9,2,8,1,6,4,13,3,6,1,30,1,6,1,29,1,30,1,6,3,30,1,29,1,6,1,7,1,30,1,13,1,6,1,13,1,6,1,30,2,6,1,30,2,6,2,30,2,6,2,13,2,30,1,17,1,13,1,30,1,6,2,29,2,6,1,13,1,6,2,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,1,30,3,6,1,30,1,28,5,13,1,30,1,28,2,30,1,28,66,30,1,28,2,30,1,28,2,30,1,6,1,28,1,7,1,28,3,30,1,28,1,6,3,13,2,6,1,30,1,13,1,30,1,13,1,6,1,28,1,11,1,17,1,16,1,17,5,16,1,13,3,6,1,13,2,6,1,28,1,30,1,6,2,13,2,8,1,13,1,6,1,13,1,6,3,30,1,28,1,30,2,29,1,30,1,6,1,30,1,28,8,6,1,28,3,29,1,28,2,30,2,29,1,6,1,28,8,30,1,28,3,30,1,28,3,30,1,28,7,6,1,13,1,30,1,28,37,30,2,6,1,29,1,28,1,30,1,29,1,30,1,28,1,30,1,28,15,6,1,13,2,8,1,13,1,8,1,13,2,9,1,13,2,8,1,13,2,8,1,13,3,8,1,9,1,13,1,9,1,13,5,9,1,11,3,17,1,16,2,11,2,9,2,13,1,9,1,17,1,16,1,12,1,11,3,10,1,17,1,12,1,17,2,11,1,12,2,17,8,11,1,17,7,11,1,17,1,11,2,9,1,6,1,29,1,30,2,13,2,28,1,30,1,28,3,30,4,6,1,30,3,29,2,30,1,6,1,30,1,6,1,28,1,30,4,6,1,28,1,29,1,30,1,29,1,30,1,6,1,29,1,30,2,6,1,30,1,29,1,28,2,30,1,6,1,28,1,30,1,6,1,30,1,29,1,30,2,6,1,28,1,30,3,29,1,30,2,28,1,29,2,6,1,13,9,9,1,13,1,9,2,8,1,9,1,8,1,9,4,17,1,10,2,11,2,12,1,9,1,13,1,30,2,28,58,30,1,28,2,30,1,6,7,7,1,29,1,8,1,13,1,6,1,7,1,30,1,6,1,29,1,7,1,30,1,6,1,29,1,6,2,30,1,29,1,6,1,29,1,6,1,30,2,28,1,30,1,6,1,30,1,6,1,28,2,6,1,30,1,6,1,30,3,29,3,30,2,6,2,29,2,6,2,28,1,6,2,7,1,6,5,7,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,7,1,13,2,8,1,7,1,13,1,7,1,8,1,13,4,8,1,13,3,7,2,13,2,28,1,29,2,30,1,6,1,13,1,6,2,13,5,10,2,16,1,13,1,28,2,30,2,29,1,30,1,6,1,28,5,30,1,28,4,30,2,29,6,6,1,30,1,29,2,6,2,30,1,7,1,6,1,30,2,6,5,7,2,13,2,8,1,13,1,9,1,11,2,17,5,11,1,28,5,30,1,28,12,30,2,28,2,30,2,29,1,28,7,30,1,28,21,13,3,6,1,13,1,6,1,13,6,9,1,7,1,6,1,13,1,6,1,13,3,9,1,13,1,8,1,9,3,13,1,8,1,13,5,8,1,13,3,6,1,7,1,13,1,7,1,13,3,7,1,9,1,6,1,8,1,7,1,6,1,13,10,8,1,13,1,6,1,13,6,8,1,13,1,8,1,9,4,8,1,9,1,11,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,9,1,13,2,8,1,13,3,9,1,13,1,9,1,13,2,6,2,7,1,6,1,7,1,13,3,7,2,13,1,6,4,13,2,6,2,13,1,6,1,7,2,6,1,13,2,7,1,13,1,6,1,13,2,8,1,13,2,30,1,28,32,30,1,28,12,30,2,13,1,11,1,16,1,11,2,16,1,6,1,28,1,30,2,13,2,9,1,28,16,9,1,17,3,9,1,7,2,28,1,30,2,6,1,28,10,29,1,28,1,29,1,13,2,8,1,9,2,17,1,11,1,17,1,8,1,28,6,13,1,7,2,28,42,24,1,13,1,30,2,28,2,17,2,9,1,6,1,28,1,29,1,6,1,7,1,8,1,13,1,10,1,11,1,16,1,17,1,13,1,28,6,13,1,6,1,30,1,28,10,30,1,28,6,}, {17,4,16,1,9,1,13,1,7,1,6,1,7,1,28,3,30,1,9,1,24,1,28,47,29,1,28,3,29,1,30,1,9,1,17,1,16,1,13,1,29,1,6,1,13,1,28,1,8,1,9,2,13,4,7,1,13,1,8,1,11,1,17,3,16,1,17,1,16,1,11,2,9,1,13,1,6,1,30,1,28,1,13,1,9,1,10,1,9,1,13,1,7,1,13,1,7,1,30,1,12,1,17,3,16,3,11,1,9,1,8,1,9,2,12,1,17,3,12,1,13,2,8,1,13,1,7,1,13,3,28,38,8,2,17,1,10,1,12,1,28,1,30,2,29,1,28,2,10,1,17,7,16,1,10,1,8,3,7,1,29,1,28,3,7,1,13,4,8,2,13,1,9,1,16,1,17,1,11,2,16,1,17,1,29,1,28,15,29,1,6,1,30,1,28,2,30,1,28,1,30,1,6,1,30,6,28,1,29,1,28,1,30,1,6,2,29,2,6,1,29,1,30,1,6,1,29,1,6,2,30,1,29,1,6,1,7,1,13,1,29,1,28,1,30,1,29,1,30,1,28,1,6,1,30,6,29,1,30,5,6,3,30,1,29,1,6,1,28,1,6,1,30,1,29,1,30,2,28,1,29,1,30,1,29,1,30,1,29,1,30,4,28,1,29,1,30,2,28,1,30,2,28,2,30,2,6,1,29,2,30,1,7,1,13,1,29,1,6,4,28,2,30,1,28,1,30,3,28,2,30,2,28,3,30,1,29,1,28,1,29,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,6,2,30,1,29,1,28,1,30,3,28,1,30,3,28,1,30,1,28,1,30,2,6,1,28,1,30,1,28,1,30,1,6,2,13,1,6,1,7,1,6,2,13,1,6,4,30,1,8,1,6,1,13,3,8,1,7,1,30,1,6,1,29,1,28,1,30,2,6,1,28,1,30,1,6,2,30,3,6,1,30,1,6,1,28,1,30,2,28,1,30,3,29,1,6,1,30,3,28,1,13,1,11,1,9,1,7,1,24,2,15,1,17,2,12,2,17,13,12,1,10,1,17,1,11,1,9,1,10,1,24,1,8,1,24,2,8,1,13,1,8,1,13,1,8,1,13,3,6,1,8,1,7,1,30,1,6,1,29,3,30,3,28,1,30,4,29,1,6,1,13,1,9,1,13,1,7,1,9,1,8,2,13,2,7,1,13,1,6,3,13,1,9,1,13,3,9,1,13,2,6,1,13,1,7,1,13,1,6,2,7,1,6,1,7,1,30,1,6,1,7,1,6,2,29,1,28,3,6,1,30,4,28,4,30,1,28,18,30,1,28,5,30,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,6,3,8,1,29,1,8,1,7,1,12,1,10,1,13,5,7,1,8,1,7,1,13,1,7,1,13,2,6,1,13,1,6,1,29,1,6,1,30,1,13,2,30,1,6,2,7,1,29,1,7,1,6,1,7,1,6,2,30,1,6,1,30,1,6,1,29,1,7,1,6,2,7,1,6,1,7,1,8,3,9,1,13,3,9,1,8,4,7,1,13,1,24,1,13,1,8,1,9,1,8,1,13,1,8,2,13,1,24,1,9,1,13,1,8,1,13,4,8,1,7,1,8,1,24,1,7,1,13,6,8,1,13,2,7,1,13,1,8,1,13,2,7,1,13,1,7,1,9,1,13,5,7,2,13,3,8,1,13,4,6,2,7,1,6,1,8,1,13,1,6,1,7,1,13,1,7,1,13,5,8,3,13,1,8,1,9,1,8,1,6,1,30,1,28,15,30,2,29,1,27,1,25,2,26,1,25,1,26,1,27,1,26,1,28,2,30,1,28,2,27,1,29,2,27,1,29,1,27,1,26,2,25,1,27,1,26,1,25,1,26,2,25,1,24,8,25,2,24,4,25,1,24,1,26,1,7,1,29,1,30,1,29,1,30,1,28,1,30,3,13,1,6,1,9,2,13,1,8,1,7,1,13,1,6,1,30,1,28,1,30,1,6,1,30,2,28,1,6,1,13,1,6,2,29,1,30,4,28,1,30,3,6,1,29,1,30,6,29,1,30,4,28,1,30,1,28,2,30,1,29,1,30,2,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,9,30,2,28,3,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,29,1,28,2,30,1,29,1,30,1,28,1,30,1,6,1,28,1,30,3,6,2,28,1,30,1,28,2,29,1,30,3,28,50,6,1,28,2,30,1,13,1,28,10,30,1,28,2,30,1,28,1,6,2,29,1,6,2,30,1,6,2,30,5,6,1,30,1,6,9,13,1,30,1,8,1,13,2,6,7,30,1,6,1,28,1,30,1,6,1,30,1,6,2,30,2,29,1,6,1,13,1,6,4,7,1,6,3,30,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,29,1,30,1,13,1,30,1,6,3,29,1,6,2,30,1,29,1,6,2,29,1,30,2,28,1,29,1,6,3,30,3,6,2,29,1,6,1,8,1,13,1,29,1,13,1,6,1,29,1,13,1,6,3,29,1,13,1,6,1,13,1,6,5,29,1,6,3,13,1,6,2,30,1,6,2,13,3,9,1,6,1,30,1,6,3,13,2,6,2,30,1,6,2,30,3,6,3,13,1,7,2,8,1,13,1,6,1,7,1,13,1,6,2,13,1,6,1,13,3,6,2,30,1,6,3,13,2,7,1,6,2,29,1,30,1,29,1,7,1,6,1,13,1,6,1,13,2,7,1,6,3,13,1,6,2,29,1,6,1,30,1,29,2,28,1,29,1,7,1,6,3,29,1,6,2,7,3,6,1,13,1,6,1,13,1,6,7,30,1,6,4,28,1,29,1,30,1,6,4,7,2,6,2,30,2,6,6,30,1,6,1,29,1,13,2,6,1,29,1,6,1,13,3,6,1,13,1,7,1,6,1,13,1,6,1,13,2,8,1,6,1,13,7,6,2,29,1,6,1,7,1,28,1,30,1,6,1,28,1,13,1,29,1,13,3,30,1,13,4,7,2,6,1,13,1,7,1,6,1,29,2,6,2,7,1,6,1,7,1,6,2,7,1,6,2,13,4,6,1,13,1,6,1,8,1,6,1,13,1,8,1,13,2,6,1,30,1,13,1,6,5,13,2,6,1,9,1,13,1,8,1,13,1,7,1,6,1,13,2,30,2,13,1,7,1,6,1,7,1,6,1,30,1,7,1,29,1,6,1,30,1,29,1,30,1,29,1,30,2,29,1,6,1,30,1,29,1,30,1,29,1,28,1,6,3,13,1,17,1,6,1,13,1,9,1,6,2,13,1,29,1,6,1,30,1,13,1,6,7,29,1,6,2,30,1,28,1,29,1,6,1,30,1,6,2,29,1,6,1,30,2,29,1,30,1,28,1,6,1,30,4,6,1,30,4,28,2,6,1,28,1,30,2,28,2,30,1,28,1,29,1,30,2,28,72,30,1,28,25,6,1,13,3,6,3,29,1,6,1,13,2,9,1,13,1,6,1,13,3,8,2,13,4,6,2,10,1,13,1,6,1,13,1,9,1,10,1,8,1,6,3,13,1,6,1,13,1,30,1,28,1,30,1,28,3,7,1,29,1,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,10,30,1,28,17,30,1,28,6,6,1,30,1,6,1,30,1,29,1,30,1,29,2,28,1,30,1,28,15,30,1,6,1,7,1,13,6,8,3,13,1,9,2,13,1,9,1,13,1,8,3,13,2,9,2,11,1,9,2,11,1,10,1,9,1,17,1,16,1,17,1,11,3,9,2,11,1,16,1,11,2,10,1,17,5,10,1,11,5,17,1,11,1,17,6,12,1,17,1,12,1,17,4,11,1,17,1,11,2,9,1,13,1,29,1,30,2,8,1,7,1,28,1,30,4,6,1,28,1,30,7,6,2,29,2,30,2,13,1,28,1,30,1,29,1,28,1,6,2,30,1,29,1,28,1,29,2,30,1,28,1,30,6,6,1,28,1,30,1,28,1,30,1,6,1,30,5,28,1,30,3,28,1,6,1,29,1,30,2,13,7,9,1,13,2,8,2,9,1,8,1,9,1,8,1,9,1,8,1,9,1,10,2,12,1,10,1,11,2,12,1,11,1,9,1,13,1,30,1,28,39,30,1,28,20,30,2,28,1,29,1,6,1,7,1,29,1,6,1,30,1,7,2,13,1,7,1,6,1,28,1,6,4,13,2,29,1,6,1,30,1,28,1,7,1,30,3,6,3,30,3,6,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,2,29,1,6,1,29,1,6,5,13,1,6,1,30,1,6,3,28,1,13,1,6,1,13,5,7,1,6,1,13,3,8,4,13,1,8,1,13,8,8,1,13,1,29,1,6,2,13,1,30,1,13,1,7,1,30,1,6,2,13,1,7,1,13,2,8,1,11,1,9,1,28,3,30,1,28,3,30,1,28,3,30,1,28,4,30,1,28,4,30,1,29,2,6,2,29,1,6,2,29,1,28,1,30,1,6,2,7,1,6,2,29,1,6,4,7,1,13,1,8,1,13,1,8,3,17,1,12,1,17,4,11,2,17,1,6,1,28,2,30,1,28,2,30,1,28,6,30,1,28,5,30,1,6,1,30,1,28,31,30,1,13,2,6,1,13,7,7,1,6,1,29,1,28,2,6,1,28,1,6,1,30,2,29,1,6,1,7,1,6,1,7,1,13,2,7,1,6,1,13,2,8,1,13,2,9,1,13,3,8,1,13,7,9,1,13,7,8,2,9,1,13,5,8,1,13,2,9,1,11,2,9,1,10,1,16,1,9,2,13,1,9,1,11,1,9,3,8,1,13,4,30,1,6,1,30,2,6,1,30,1,6,1,29,1,6,1,13,5,9,1,6,3,7,1,6,1,13,1,30,1,6,2,13,1,6,4,30,2,6,1,29,2,6,3,13,2,7,1,6,1,13,1,7,1,9,2,13,1,6,1,13,2,6,1,28,29,30,3,6,1,28,9,30,1,28,2,30,1,6,2,9,1,11,1,16,1,10,2,13,1,28,1,29,1,6,1,7,1,13,1,6,1,28,16,8,1,17,1,11,1,9,1,6,2,30,1,6,3,28,1,29,1,28,4,29,1,28,2,30,1,28,1,30,2,28,1,13,1,9,1,10,1,11,3,17,2,13,1,30,1,28,6,6,2,28,42,6,1,7,1,30,1,28,2,6,1,17,2,11,1,29,1,28,1,13,1,6,1,13,1,8,1,13,1,9,1,16,2,17,2,28,6,7,1,6,1,28,10,6,1,28,1,30,1,6,1,29,1,28,3,}, {17,4,16,1,9,2,6,1,7,1,30,1,28,3,29,1,24,1,9,1,28,47,30,2,29,1,30,1,6,1,30,1,8,1,9,1,17,1,9,1,6,1,30,3,13,1,9,1,13,1,7,2,6,1,13,1,6,1,8,2,11,1,17,7,12,1,17,1,8,1,29,1,6,2,7,1,24,1,10,1,24,1,29,1,24,1,13,1,8,1,6,1,9,1,17,4,16,1,17,1,9,2,6,1,9,1,11,2,17,3,9,1,13,2,7,1,13,2,6,1,8,1,9,1,30,1,28,35,30,1,7,1,8,1,9,1,24,1,12,1,9,1,29,1,6,1,30,1,28,3,8,1,17,7,16,1,11,1,13,1,8,1,13,1,8,1,6,1,13,1,7,1,29,1,13,2,6,1,8,1,7,1,13,3,9,1,11,1,17,1,11,1,16,1,17,1,16,1,30,1,28,15,6,2,29,1,30,1,28,2,30,4,28,1,30,4,6,1,30,1,6,1,28,2,30,4,29,1,30,1,29,1,6,1,28,1,6,3,29,1,13,1,7,1,6,2,30,1,29,1,30,2,6,3,28,1,6,1,30,1,6,2,28,1,29,1,30,1,28,1,30,2,6,1,30,1,6,1,29,2,6,1,30,1,6,2,30,4,6,1,30,1,28,2,30,4,28,1,30,2,28,1,30,1,28,2,30,1,29,1,6,1,30,6,6,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,2,28,1,30,2,28,3,30,3,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,2,6,1,28,1,30,4,28,1,30,3,28,1,30,2,28,2,30,1,6,1,30,1,6,1,29,1,28,1,6,1,30,1,29,1,13,1,6,1,13,1,6,1,30,1,29,1,30,1,7,1,30,1,7,1,29,1,6,2,13,3,8,1,13,2,6,1,28,1,30,1,28,1,30,3,6,3,29,1,30,1,29,1,30,2,6,1,28,1,30,4,28,2,30,4,6,1,28,1,30,1,8,1,17,1,24,1,25,1,8,1,15,1,12,2,17,1,12,1,17,15,11,1,10,1,12,1,11,1,24,1,10,1,9,1,24,2,9,1,8,1,9,1,13,2,8,1,7,1,13,1,6,2,9,1,6,2,30,1,6,1,30,3,28,1,30,1,28,1,30,2,29,1,28,1,7,1,13,4,8,1,9,1,13,4,7,1,13,1,10,1,9,1,6,1,13,1,9,1,8,1,9,1,13,6,7,2,13,1,7,1,6,2,7,1,6,1,7,1,28,1,6,1,29,2,30,3,28,1,6,1,28,2,30,1,28,1,30,1,28,11,30,1,28,13,30,1,28,2,30,2,28,1,6,1,30,2,6,1,29,1,6,2,7,1,13,1,24,1,9,2,8,1,13,1,9,2,7,1,8,2,13,2,7,1,13,2,6,1,29,1,6,1,7,1,6,1,13,1,6,1,7,2,6,2,29,1,6,2,7,1,30,1,7,1,29,2,6,4,7,3,29,1,7,1,6,1,13,3,8,1,13,1,8,1,9,1,8,1,9,1,10,1,13,1,8,1,9,1,13,1,10,1,8,1,13,2,8,1,13,1,8,1,7,1,8,3,13,1,7,1,8,2,24,2,8,2,13,1,8,1,13,1,8,2,7,1,6,1,24,1,13,1,9,1,13,2,8,5,7,1,13,2,8,1,13,2,7,1,13,2,8,2,13,6,6,1,13,2,8,1,13,3,24,1,6,1,13,1,7,1,6,1,8,2,13,2,8,4,9,1,8,1,13,1,30,1,28,16,30,1,29,2,25,1,27,1,25,2,27,1,25,1,27,2,29,1,28,2,29,2,30,1,29,1,27,2,29,2,27,1,26,1,6,1,29,2,27,2,25,1,27,1,25,3,24,2,25,1,24,1,8,1,24,1,25,1,24,1,8,1,25,1,24,1,25,1,8,1,25,1,6,4,28,1,6,2,30,1,28,1,30,1,13,2,8,1,9,1,13,1,8,1,6,1,29,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,13,3,6,2,30,2,6,1,30,1,29,1,6,2,28,1,13,1,6,1,30,3,29,1,30,1,28,1,30,1,28,1,30,5,28,2,30,1,28,1,30,4,28,1,30,3,28,3,30,1,28,7,30,1,28,1,30,1,28,1,30,2,28,5,30,3,28,4,30,1,28,69,30,2,28,2,30,2,6,3,30,1,28,1,13,1,9,2,13,2,7,1,30,2,6,1,30,1,28,1,30,1,6,1,7,1,13,1,30,1,6,1,29,1,6,1,7,1,6,2,29,1,6,1,13,1,30,1,6,1,30,1,6,5,29,2,6,1,30,1,7,1,30,1,7,1,30,1,6,1,30,1,29,1,6,2,29,1,13,3,30,1,6,1,29,1,6,3,30,1,6,6,29,1,30,1,6,8,29,2,6,8,7,1,6,3,29,1,30,1,6,2,7,1,29,1,6,1,30,1,6,1,29,1,30,1,6,2,29,3,30,1,6,1,30,2,29,1,30,1,6,2,30,1,29,1,30,1,13,1,7,1,6,1,13,1,6,1,30,1,6,3,8,1,6,2,7,1,6,3,30,1,7,1,13,1,6,1,7,1,6,1,29,1,13,1,6,2,13,3,6,1,13,1,8,1,13,1,30,1,6,1,13,1,7,1,29,1,6,2,29,2,7,1,29,1,6,1,30,1,6,2,29,1,7,1,6,2,7,1,6,1,13,1,9,2,30,1,13,1,6,1,13,1,6,1,7,1,13,1,7,1,13,1,6,2,29,1,13,2,29,2,7,1,13,1,6,1,29,1,13,1,6,2,7,1,6,3,8,1,13,3,29,1,6,2,13,1,29,1,6,1,13,1,30,1,6,2,13,1,30,2,29,1,6,4,29,1,6,6,7,1,13,1,29,1,6,2,7,1,6,2,29,1,6,3,28,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,6,4,7,1,6,2,30,1,29,1,7,1,30,1,6,6,13,2,6,1,7,1,16,1,29,1,13,3,6,1,29,2,13,1,9,1,8,1,30,1,13,1,8,1,13,1,6,1,8,1,6,3,13,1,6,2,29,1,6,4,13,1,6,2,13,1,8,1,13,1,7,1,13,2,6,3,30,1,6,3,7,1,13,1,6,4,29,1,8,1,13,3,6,3,29,1,6,6,7,1,13,2,6,2,29,1,6,5,13,1,6,1,13,2,8,1,30,1,29,1,6,1,29,1,6,1,29,2,6,2,29,2,7,1,29,1,6,1,13,1,29,1,6,2,30,1,6,2,29,1,30,1,29,1,30,2,29,1,30,1,6,1,29,1,6,1,7,1,30,2,13,1,17,1,28,1,13,3,6,3,29,1,6,1,7,1,30,2,6,1,29,1,30,2,6,1,30,4,6,2,30,2,13,1,6,1,30,1,29,1,6,5,28,1,6,1,29,1,30,1,29,2,28,1,6,1,30,4,28,1,30,7,28,1,30,3,6,2,30,3,28,1,13,1,30,1,6,1,13,1,30,3,29,1,30,1,28,1,30,1,28,1,6,1,30,6,29,1,6,1,30,4,6,1,30,2,28,1,6,1,29,1,6,2,28,3,30,1,28,2,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,12,30,1,28,2,6,1,28,29,30,1,28,8,30,1,28,3,30,1,28,11,30,1,13,1,9,1,30,1,28,3,30,1,28,2,30,2,6,1,28,1,6,1,30,1,6,1,30,1,28,2,6,1,30,2,28,1,30,1,13,1,16,2,13,1,30,1,6,1,29,1,30,3,28,2,30,1,28,2,30,1,28,7,30,1,28,18,30,1,29,2,30,1,29,1,28,6,30,1,28,11,6,1,13,7,9,1,13,2,8,1,9,3,13,1,11,1,13,3,8,2,13,2,9,2,12,1,11,1,13,1,9,1,11,1,17,4,9,1,11,1,9,2,8,1,9,1,12,1,11,3,17,1,11,1,12,1,11,1,12,1,11,1,12,1,11,1,12,1,11,2,17,3,11,1,17,1,11,1,17,1,11,1,17,9,9,1,11,1,6,1,30,2,13,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,6,1,30,1,6,2,29,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,30,1,29,1,28,1,29,1,30,4,28,1,6,3,30,3,28,3,29,1,30,2,29,1,28,1,30,3,28,2,29,1,28,1,6,2,13,1,6,2,7,1,13,2,7,1,13,1,8,1,13,3,8,1,13,1,9,1,8,2,9,5,16,1,17,2,11,3,9,2,13,1,30,1,28,62,6,4,13,1,6,1,13,1,9,1,29,1,6,2,13,1,30,1,6,2,30,1,6,1,30,1,6,1,7,1,6,1,7,1,6,5,30,1,29,1,30,3,6,2,30,10,6,1,30,1,29,1,30,1,13,1,29,1,6,2,30,1,6,7,13,2,30,1,6,1,13,2,29,1,13,1,8,1,13,2,7,1,13,3,6,1,13,14,6,1,29,1,13,1,30,1,7,1,6,1,13,2,30,1,13,1,9,2,11,1,8,1,6,1,28,2,29,1,28,2,30,1,28,17,30,3,29,1,6,1,7,2,6,2,30,1,28,1,6,1,13,1,6,2,7,1,29,1,6,4,13,1,8,1,24,1,9,1,8,1,12,1,17,5,9,1,16,1,11,1,28,3,30,1,28,3,30,1,28,11,30,2,28,1,30,1,28,11,30,1,28,13,30,1,28,1,30,1,28,3,13,4,6,2,30,1,6,1,7,2,6,3,28,1,30,1,28,9,29,1,6,1,28,6,6,1,30,1,6,1,13,3,9,2,8,1,13,1,9,3,8,2,9,2,8,1,13,1,8,4,13,1,8,1,9,1,6,1,13,1,6,2,13,5,6,1,13,1,6,2,13,1,7,1,6,1,28,2,6,1,13,1,29,1,28,2,29,1,28,14,30,2,7,1,6,1,13,1,7,2,6,2,29,1,7,1,9,1,6,2,29,1,30,2,6,1,30,1,28,1,30,1,6,2,29,1,6,1,30,2,6,2,13,1,7,1,13,4,8,1,13,1,30,1,28,23,30,1,28,1,30,4,28,2,30,1,28,1,30,1,28,10,30,1,28,1,6,1,13,1,8,1,11,3,10,1,9,1,28,2,6,1,13,3,28,16,9,1,17,1,11,1,9,1,13,1,6,2,13,1,28,1,30,1,29,1,28,1,30,1,28,10,7,1,13,1,9,1,11,1,16,1,11,1,12,1,17,2,8,1,28,6,13,2,30,1,28,42,6,1,13,1,30,1,28,2,30,1,17,2,11,1,30,2,29,1,13,4,9,1,11,1,17,2,11,1,28,6,7,1,6,2,28,10,30,1,28,1,29,2,28,3,}, {17,4,16,1,9,2,8,1,29,1,28,1,30,2,28,1,6,1,9,2,28,13,29,1,28,32,30,1,28,2,6,1,28,1,6,1,29,1,9,2,17,1,8,1,13,1,29,1,13,1,30,2,17,1,9,1,8,1,29,1,13,1,6,1,13,1,9,1,13,1,11,1,12,1,17,5,10,1,16,1,11,1,24,1,7,1,29,1,6,1,7,1,24,1,17,1,8,1,6,1,7,1,8,1,6,1,7,1,9,1,17,5,11,1,10,1,9,2,8,1,11,2,16,1,17,2,9,1,8,1,9,1,13,4,7,1,11,1,6,1,28,35,29,2,24,1,11,1,9,3,6,1,30,1,29,1,28,3,6,1,17,8,11,2,9,1,10,1,8,1,13,2,30,2,6,1,13,1,6,1,7,1,6,2,29,1,13,1,9,1,17,1,16,1,9,1,16,1,17,2,28,16,30,1,29,1,6,1,29,1,30,3,6,2,29,1,28,1,30,2,28,2,29,1,28,1,30,3,6,2,30,2,6,1,30,1,13,1,6,2,30,1,28,1,30,1,6,3,30,2,29,2,30,1,6,1,29,1,30,3,28,3,29,1,30,4,6,1,30,1,6,1,30,3,6,2,30,1,6,2,30,2,28,1,29,1,6,1,30,2,6,1,30,3,6,1,29,1,28,1,29,1,30,1,28,1,30,2,6,2,30,2,6,1,28,1,30,1,28,3,30,1,29,2,30,2,28,2,30,2,29,1,30,3,28,1,30,1,28,2,30,6,28,1,7,1,30,3,6,2,29,1,30,2,6,1,28,1,6,1,30,5,6,1,28,1,30,4,28,1,30,1,28,1,30,1,29,1,28,1,30,1,6,1,28,1,30,2,13,1,28,1,6,3,7,1,30,1,6,5,13,2,9,1,6,2,28,1,30,1,28,1,30,3,29,1,30,3,28,1,30,3,28,1,30,1,28,1,30,7,6,1,30,2,28,1,29,1,10,1,12,1,8,2,24,2,12,1,17,15,12,1,10,1,17,1,11,1,12,1,10,1,12,1,24,1,11,1,24,1,8,1,24,1,9,1,24,2,8,1,13,1,8,1,13,2,6,1,24,1,8,1,13,1,29,1,30,2,29,2,30,1,29,1,28,1,30,3,29,1,6,2,8,1,7,3,8,1,13,1,6,1,13,1,7,1,13,2,8,1,9,1,10,1,8,2,13,2,8,1,13,1,8,1,13,1,6,2,13,1,7,2,6,1,7,1,6,2,7,1,6,2,29,2,7,1,29,1,30,4,28,2,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,12,30,1,28,7,29,1,30,5,6,2,7,2,13,1,6,1,9,2,24,1,9,2,6,1,13,1,8,3,13,3,6,2,7,1,13,1,30,1,6,2,7,1,13,1,6,1,30,1,6,1,7,1,13,1,6,2,7,1,6,1,13,1,7,2,6,1,29,1,6,1,29,1,6,1,29,1,7,1,6,2,13,2,7,3,13,1,7,2,13,1,8,1,13,1,8,5,13,1,8,1,13,1,8,3,13,2,8,2,24,1,9,1,24,1,8,2,13,2,8,1,7,1,13,1,8,1,13,1,6,1,8,1,24,1,13,2,8,1,13,1,8,2,13,1,8,1,13,1,8,1,13,2,8,1,13,4,24,1,7,1,13,2,7,1,13,1,8,2,13,1,8,1,6,1,13,3,8,3,7,1,24,1,13,1,8,1,13,3,24,1,9,1,24,1,13,3,7,1,29,1,30,2,28,14,30,2,29,1,28,1,26,1,27,1,26,1,25,1,26,2,27,1,26,1,27,1,30,1,28,1,30,2,29,1,27,1,30,1,29,1,27,3,26,1,27,3,29,1,26,2,27,1,26,1,25,1,24,1,8,1,24,1,8,1,15,1,24,1,8,1,24,1,25,1,24,5,8,1,6,4,30,1,13,1,30,1,6,1,7,1,30,1,13,2,9,3,16,1,13,1,6,1,29,1,30,1,6,1,30,4,6,1,30,1,9,1,13,1,28,1,6,1,30,1,6,1,30,1,28,1,30,2,6,1,30,2,13,3,30,2,6,1,28,1,30,1,29,1,30,1,28,1,6,1,30,2,6,1,28,1,13,1,30,3,28,1,30,2,28,1,30,1,28,2,30,3,28,2,30,1,28,41,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,9,30,1,28,1,30,3,6,1,30,1,6,2,30,2,6,1,30,3,28,1,30,2,28,1,6,1,30,3,6,1,30,1,7,1,6,1,7,1,6,1,30,1,13,1,6,2,13,1,6,1,13,1,7,2,13,1,30,1,6,2,30,1,8,1,17,1,13,1,30,1,8,1,30,1,6,4,8,1,7,1,29,1,6,2,30,2,6,5,30,1,7,1,6,1,29,2,6,4,30,1,13,1,6,3,30,1,6,5,13,1,30,2,28,1,30,1,13,1,6,3,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,29,1,6,3,29,1,13,1,6,1,30,2,6,1,13,1,6,2,13,1,6,2,30,1,6,1,29,1,6,6,7,1,13,1,6,2,29,1,30,1,6,5,13,1,29,1,6,2,30,2,29,1,30,2,6,2,30,1,6,1,30,1,6,2,30,1,6,2,7,1,6,1,7,1,6,1,30,1,13,1,30,1,7,1,6,3,30,1,6,4,13,2,6,3,13,1,6,1,29,1,13,2,6,2,7,2,6,1,13,2,29,1,30,2,6,3,13,1,30,1,6,1,13,1,30,1,29,1,6,1,29,1,6,1,29,1,6,3,13,1,6,2,13,2,29,1,13,1,7,1,13,1,6,1,13,2,6,1,13,1,29,1,13,1,7,1,13,1,6,2,13,2,7,1,6,2,29,1,6,4,7,1,6,3,13,3,6,1,8,1,6,1,13,1,6,4,30,1,6,1,29,1,6,2,30,1,29,1,30,3,6,1,9,1,30,1,13,1,28,1,6,3,29,1,13,1,6,3,7,1,6,1,30,1,13,1,6,1,29,1,7,1,6,2,30,2,6,1,29,1,6,3,29,1,6,1,29,3,6,1,29,1,30,1,6,2,30,1,29,1,6,3,13,1,7,1,13,2,10,1,6,1,13,1,6,1,13,1,6,1,13,2,8,1,13,1,6,3,13,1,6,1,13,4,6,1,29,1,7,1,6,1,7,1,13,1,7,1,6,1,13,1,30,1,7,1,6,2,13,5,6,1,13,1,6,1,13,1,6,1,13,2,7,1,13,1,6,7,29,1,13,2,6,2,29,1,6,1,30,1,11,1,8,1,7,1,30,1,6,1,7,1,6,2,7,1,13,1,29,1,6,3,13,1,6,1,13,5,30,1,6,1,13,1,6,1,30,1,29,1,6,1,28,1,6,3,7,1,13,1,7,2,6,1,30,2,29,1,30,1,6,1,30,1,29,1,30,1,29,1,30,6,6,1,30,1,9,1,17,1,28,1,6,1,28,1,30,1,6,1,13,1,30,2,6,1,28,1,30,1,29,1,6,2,30,1,29,1,30,1,29,1,30,1,6,1,30,2,6,1,29,1,6,1,30,2,6,1,30,1,6,1,29,1,6,1,30,3,6,1,29,1,30,1,29,1,30,2,6,1,30,2,6,1,29,1,30,4,6,1,28,1,29,1,30,3,29,1,30,1,6,1,30,4,28,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,6,1,28,1,6,2,28,1,30,3,29,1,6,1,30,1,6,4,29,2,30,1,6,1,30,1,6,1,30,3,13,1,30,3,6,1,30,1,29,1,30,2,6,3,28,1,30,1,6,2,30,5,28,2,30,1,6,1,28,2,30,2,28,1,6,1,30,3,6,2,29,2,28,1,30,4,6,1,28,1,30,2,28,1,30,1,28,3,6,1,30,1,28,4,30,1,28,1,6,1,28,3,13,1,28,12,30,1,28,13,30,1,28,22,6,1,28,1,6,1,30,1,6,1,30,3,29,1,30,2,28,6,30,1,28,2,6,1,30,4,28,16,13,1,28,1,6,1,9,1,28,1,29,1,28,1,29,1,28,16,30,1,6,1,7,1,13,1,9,1,8,2,13,1,9,1,8,1,13,1,9,5,8,1,9,1,13,1,8,2,13,1,8,1,13,3,11,1,9,2,10,1,9,1,11,1,16,1,17,1,11,2,10,1,11,1,9,1,8,1,11,6,17,1,11,2,9,1,11,1,16,1,17,2,11,1,12,1,17,7,12,1,17,10,11,1,9,1,6,1,28,1,8,1,28,2,30,1,6,1,28,1,30,4,28,1,30,2,29,2,6,2,30,2,6,2,29,2,30,1,6,3,29,2,30,1,6,1,29,2,30,2,6,1,29,1,6,2,28,1,6,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,2,6,1,30,2,28,1,6,1,30,2,6,1,30,1,6,2,7,2,29,1,6,1,13,3,7,2,13,2,9,1,13,2,8,1,9,2,8,1,13,1,9,2,11,1,16,1,17,1,12,1,10,1,11,2,9,3,13,1,30,1,28,31,30,1,28,28,30,2,6,1,28,1,13,1,7,1,11,1,8,1,6,1,29,1,6,1,13,1,29,1,6,2,29,1,13,1,6,3,7,1,30,1,13,1,30,1,6,1,30,1,29,1,6,1,30,2,6,3,30,1,6,2,13,1,30,2,6,2,28,3,6,1,30,1,7,2,28,1,29,2,6,2,29,1,6,6,13,8,7,1,6,1,13,1,6,1,8,1,13,12,9,1,13,8,6,1,13,1,6,1,13,1,8,1,9,1,8,1,9,1,13,1,28,25,30,1,28,1,30,1,29,2,6,5,29,1,13,1,7,1,6,2,30,1,6,5,24,1,13,1,8,1,13,1,9,1,10,1,17,4,12,1,9,1,11,1,10,1,28,4,30,2,28,4,30,1,28,8,30,1,6,1,28,3,30,1,28,3,30,1,28,5,30,1,28,9,30,1,28,9,8,2,13,3,6,3,13,3,7,1,28,1,30,1,28,8,30,1,28,2,30,1,28,11,30,1,29,1,28,2,30,2,28,1,30,1,6,1,30,1,28,1,30,1,6,2,30,3,28,2,30,1,28,2,30,1,28,13,30,1,28,1,30,2,29,1,28,22,30,1,29,1,7,1,29,1,13,1,6,1,13,1,6,1,30,1,28,1,6,1,30,1,28,1,6,1,29,1,30,1,6,1,28,1,30,1,6,2,30,1,6,2,13,8,9,1,30,1,28,23,30,1,28,20,30,2,6,1,13,1,9,1,11,2,17,1,10,1,11,1,30,1,28,1,6,1,13,3,28,16,9,1,17,1,9,1,10,1,13,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,29,1,28,1,30,1,6,1,9,1,16,1,11,1,9,1,11,1,17,2,29,1,6,1,28,5,13,2,6,1,28,42,6,1,13,1,30,1,28,2,6,1,17,3,28,1,7,1,28,1,7,1,6,3,11,2,17,2,8,1,28,5,30,1,7,1,13,1,30,1,28,10,30,2,28,2,30,1,28,2,}, {17,4,16,1,9,1,8,2,13,1,28,1,30,1,28,2,30,1,13,1,24,1,29,1,28,46,6,1,28,3,30,1,28,1,8,1,9,1,16,1,9,1,7,1,30,1,6,1,28,1,13,1,9,2,8,1,13,2,30,1,6,1,13,1,8,1,12,1,11,1,17,5,11,3,9,1,7,1,28,1,30,1,6,1,8,1,24,1,6,2,8,1,6,2,13,1,11,1,17,4,10,1,16,1,10,1,8,1,9,2,8,1,10,1,11,1,17,2,16,1,30,2,8,2,29,1,6,1,9,2,6,1,28,36,29,1,24,1,8,1,9,1,11,1,8,1,7,1,30,4,28,1,7,1,17,6,16,1,11,1,17,1,9,4,13,1,7,1,6,1,30,1,7,1,13,1,7,3,6,1,13,2,8,1,9,1,11,1,10,1,16,1,17,1,16,1,30,1,28,15,7,1,6,1,7,1,6,2,29,2,6,1,30,2,6,1,28,1,30,1,6,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,6,2,29,1,30,3,28,1,6,1,13,1,29,1,6,1,29,1,30,2,29,1,30,2,28,1,7,1,30,1,6,3,30,2,6,1,30,1,28,2,6,1,30,1,6,1,28,1,29,1,6,1,28,1,13,1,6,4,30,1,7,1,30,3,6,1,30,3,29,1,6,1,28,1,30,6,28,1,6,2,28,1,30,1,28,1,30,1,28,2,29,1,30,1,28,3,30,2,29,1,28,1,6,1,30,2,28,1,30,1,28,1,30,2,28,1,30,9,29,1,30,2,28,1,30,2,7,1,29,1,6,1,29,1,30,2,28,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,2,6,1,30,1,28,3,30,1,29,1,6,1,30,2,6,1,30,1,29,2,28,1,13,1,6,1,30,1,6,3,13,5,6,1,29,1,30,1,28,1,30,3,6,1,30,1,6,1,30,1,28,1,30,2,6,1,30,2,6,2,30,2,28,2,30,2,28,1,6,1,30,3,28,1,10,1,12,1,24,1,8,1,24,1,10,1,12,1,17,18,12,1,10,2,12,1,24,1,9,1,10,1,24,1,8,1,9,1,8,2,13,1,24,1,6,1,13,2,6,1,7,1,13,2,30,2,28,1,6,3,30,1,29,1,30,1,6,2,7,1,29,2,28,1,6,3,7,1,9,1,13,2,8,1,13,2,17,1,8,1,11,1,8,1,13,2,8,1,13,2,6,1,13,1,6,2,8,1,13,1,6,5,7,1,29,1,6,1,29,1,30,1,6,2,30,4,28,2,30,2,28,2,30,1,28,17,30,1,28,1,30,1,28,4,30,1,28,2,30,2,6,1,28,1,29,1,6,1,29,1,6,1,7,1,13,1,7,2,10,1,9,1,11,1,24,1,8,2,13,2,24,1,13,2,7,1,8,1,13,2,6,1,13,1,7,1,6,1,7,1,13,1,7,3,30,1,29,2,7,1,6,1,7,2,30,1,13,1,29,1,6,2,29,1,7,1,6,1,13,1,29,1,13,1,6,4,13,1,6,2,13,2,8,1,9,1,7,1,9,1,6,1,8,1,13,1,9,1,13,1,9,3,8,1,13,1,8,3,9,1,8,3,13,1,10,1,9,2,13,1,8,1,13,1,9,1,8,1,24,1,7,1,13,2,8,1,13,1,8,1,7,1,8,4,13,2,7,1,8,1,13,1,8,2,13,2,8,1,13,1,9,1,8,3,13,2,8,1,13,2,9,1,8,1,13,1,6,1,7,1,13,2,8,1,13,1,7,1,24,1,11,1,8,1,13,2,7,1,6,1,7,1,29,1,30,3,28,14,30,2,29,1,27,2,25,2,24,1,25,1,27,2,25,1,29,1,30,2,29,1,30,2,27,4,29,1,27,1,26,1,27,2,26,1,27,3,26,2,25,1,8,1,24,3,8,1,24,1,25,2,24,3,8,1,25,3,6,1,30,1,6,1,30,1,6,1,30,2,29,1,6,2,13,2,8,1,9,1,11,1,8,1,13,1,6,3,30,2,6,5,9,1,6,1,30,1,13,1,28,1,6,1,28,1,29,1,30,3,6,1,13,1,29,1,30,2,28,1,29,1,28,1,6,1,28,1,6,1,30,1,28,1,30,3,28,1,30,2,28,4,30,1,28,29,30,1,28,16,30,1,28,1,30,1,6,1,28,2,6,1,28,1,6,2,28,1,6,1,29,1,6,3,28,1,6,1,30,6,6,2,7,1,30,1,6,1,13,1,7,1,6,2,13,1,6,3,30,1,29,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,7,3,13,1,30,1,13,1,7,1,13,4,6,1,7,2,13,1,7,1,13,4,30,1,13,1,11,1,16,1,6,2,8,1,13,1,6,1,13,1,30,1,6,1,29,1,30,1,6,1,13,1,6,2,30,2,6,1,29,1,6,2,29,1,30,1,13,1,6,1,13,1,6,2,30,1,6,4,30,1,29,1,7,1,6,1,13,1,6,4,29,1,30,1,7,1,6,1,13,1,9,1,13,1,29,1,6,1,30,1,29,1,7,1,6,7,29,1,7,1,28,1,6,1,30,1,6,2,29,1,6,5,13,1,6,1,30,1,29,1,6,2,7,1,30,1,13,1,6,1,13,1,6,1,29,1,6,1,30,1,7,1,30,1,6,2,29,1,6,1,29,1,6,1,30,1,6,1,13,1,6,3,30,1,6,3,29,1,7,1,6,2,29,2,6,1,13,3,29,1,30,1,28,1,7,1,13,2,6,1,29,1,8,1,6,1,13,1,30,1,6,1,30,1,6,2,13,2,6,1,7,1,6,1,29,1,7,1,6,1,7,1,13,1,29,1,13,3,6,8,30,1,29,1,6,1,30,2,6,1,30,1,6,1,29,1,13,5,6,2,7,1,13,2,7,1,6,1,7,1,30,1,13,1,6,2,13,2,29,1,6,3,7,1,6,1,7,2,29,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,30,1,6,1,13,3,8,1,13,2,7,1,6,1,29,1,30,2,6,2,30,1,6,2,30,1,6,1,29,1,13,1,9,1,6,2,7,2,6,2,13,1,29,1,6,2,29,1,30,1,29,1,6,1,13,1,30,1,29,3,30,1,6,2,29,1,30,1,7,1,30,1,6,2,30,1,29,1,6,1,30,1,6,2,30,2,6,2,30,1,29,1,6,1,13,1,6,1,13,2,9,1,13,1,7,1,13,2,6,1,13,1,8,1,9,1,13,4,6,4,28,1,13,2,6,2,7,1,13,1,6,1,13,3,6,2,13,3,6,5,13,2,7,1,6,2,13,1,7,1,6,2,13,1,6,1,7,2,6,2,7,1,13,1,8,1,6,1,13,1,6,1,7,1,6,2,13,1,6,2,13,2,7,1,6,3,29,1,6,5,13,1,6,2,29,2,6,1,28,3,6,2,30,1,7,1,30,1,6,3,13,1,7,1,6,3,29,1,6,3,30,1,6,1,29,1,30,2,6,1,30,1,29,1,6,2,29,1,30,2,9,1,17,1,28,1,29,1,30,1,6,1,28,2,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,2,6,1,28,1,6,3,30,1,6,1,29,1,6,1,29,1,30,3,6,1,30,1,29,2,30,1,28,1,6,1,30,3,6,1,30,4,6,1,29,1,30,1,29,1,6,1,30,3,29,1,30,2,6,1,28,1,30,1,29,1,30,2,6,2,30,1,29,1,6,1,29,1,30,2,6,1,29,1,6,1,28,1,13,1,29,1,6,1,30,2,29,1,30,3,6,1,29,1,30,1,6,1,30,4,29,1,30,2,6,1,29,1,30,2,29,1,30,2,6,1,30,2,6,1,28,1,29,1,30,1,7,1,6,2,28,1,30,1,29,2,30,2,28,1,6,1,30,2,29,1,30,1,28,1,6,1,29,1,6,1,28,1,29,1,28,1,30,2,6,1,29,1,6,1,13,1,30,3,29,1,6,2,30,3,6,2,29,1,28,1,6,1,13,2,30,1,28,1,30,1,13,3,6,3,29,1,30,2,28,1,30,2,28,1,30,1,28,4,6,1,28,1,30,1,28,3,30,1,28,1,30,1,28,5,30,2,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,15,6,1,28,19,6,1,13,1,28,6,6,1,28,1,30,1,28,5,30,2,28,1,13,1,28,1,13,1,9,1,30,1,28,1,29,2,30,1,28,16,13,1,7,1,13,6,9,2,13,1,9,1,10,1,9,1,8,5,13,2,10,1,13,2,9,1,8,1,9,2,10,1,9,1,17,4,16,2,8,1,9,4,10,1,11,3,17,1,11,3,12,1,11,1,17,2,12,1,17,4,12,1,11,2,17,1,11,1,17,1,11,1,17,1,12,1,17,2,12,1,11,2,16,1,11,1,16,1,9,1,13,2,6,1,30,7,29,1,30,3,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,28,1,30,1,29,3,6,2,29,1,30,6,29,1,6,1,28,1,30,3,28,1,30,2,6,1,30,2,6,1,29,1,28,1,29,2,6,1,30,2,6,4,7,1,6,1,7,1,6,2,13,1,7,1,13,2,7,1,8,1,13,1,8,4,13,1,9,1,10,1,8,2,9,1,12,1,17,1,10,1,9,2,11,1,9,1,10,1,9,2,13,1,28,1,30,1,28,59,30,1,28,1,29,1,13,1,30,1,9,1,8,1,6,2,7,1,13,1,29,1,6,1,30,1,7,1,6,5,29,2,7,1,6,3,13,1,6,1,30,1,7,1,29,1,30,1,6,2,30,2,6,1,30,1,6,1,30,2,13,2,29,2,30,1,6,2,29,1,6,1,30,1,7,1,30,1,6,2,7,1,6,1,13,1,7,1,6,1,7,1,13,1,7,1,6,1,7,2,13,4,9,1,8,1,13,1,7,1,6,1,13,1,7,1,13,1,6,1,13,3,8,1,7,1,6,1,13,7,9,1,13,4,9,1,11,1,9,1,10,1,28,2,30,1,28,25,30,1,29,1,30,1,6,2,29,1,6,1,29,1,13,2,29,1,30,2,29,1,6,1,29,1,6,2,13,1,24,1,8,2,9,1,11,1,12,2,17,3,11,1,9,1,11,1,9,1,28,4,30,1,28,2,30,1,28,3,30,1,28,8,29,1,30,1,28,1,30,1,28,28,30,1,28,1,13,1,9,1,13,2,7,1,13,1,6,1,7,1,6,2,7,1,6,2,30,2,28,3,30,1,28,5,30,1,28,7,30,1,28,5,30,1,28,2,30,1,28,20,30,1,28,9,30,1,28,2,30,3,28,7,30,1,28,16,30,2,29,1,6,1,29,1,30,2,6,1,29,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,29,1,30,1,6,1,13,7,7,1,6,1,28,21,30,1,28,3,30,1,28,1,30,1,28,17,6,2,13,1,11,1,17,1,12,1,11,2,17,1,6,1,28,1,7,1,13,1,9,1,6,1,28,16,17,2,16,1,9,1,8,1,6,1,30,2,13,1,7,1,28,1,30,1,28,4,6,1,28,4,30,1,6,1,13,2,8,1,16,1,9,2,16,1,17,2,13,1,28,1,30,2,28,2,6,1,13,1,8,1,30,1,28,42,13,1,8,1,30,1,28,2,13,1,17,2,12,1,6,1,30,1,29,1,6,1,7,1,13,2,9,1,16,1,17,2,9,1,30,1,28,5,6,2,28,12,30,1,6,1,30,1,28,1,29,1,28,1,}, {17,4,10,1,11,1,13,1,8,2,30,1,28,1,30,1,28,2,8,1,10,1,29,1,28,11,30,1,28,36,30,1,28,1,30,1,28,1,13,1,9,1,12,1,9,1,7,1,13,1,30,2,13,1,9,2,13,1,8,1,13,1,8,1,6,1,13,1,8,2,17,6,16,1,17,1,12,1,8,1,7,1,30,1,28,1,6,1,8,1,10,1,13,2,7,4,13,1,17,5,11,1,10,1,8,1,9,3,17,1,11,1,17,2,16,1,13,3,6,1,8,1,29,1,13,1,7,1,6,1,28,35,29,1,6,1,8,2,11,2,12,1,7,1,29,1,30,1,29,1,28,2,7,1,17,5,16,1,11,1,16,3,9,2,24,1,7,1,6,2,28,1,13,2,30,1,13,1,6,1,13,1,7,1,8,1,10,1,9,1,17,1,11,1,10,1,17,2,30,1,28,15,6,1,13,1,6,2,28,1,29,1,30,1,6,4,29,1,28,1,30,1,28,1,6,1,28,3,6,1,28,1,30,3,6,1,28,1,30,2,28,1,6,1,30,3,28,1,6,1,30,1,6,2,30,4,29,1,7,1,6,1,30,1,6,2,30,1,29,2,30,1,6,3,30,1,6,2,29,1,30,1,6,1,13,1,7,1,30,1,6,1,30,1,6,1,29,1,30,6,6,4,29,1,7,1,13,1,30,1,28,1,30,1,28,3,30,1,6,1,30,1,28,1,30,3,6,1,30,4,28,1,30,1,6,1,28,1,6,1,30,7,28,1,30,2,6,1,28,1,7,1,30,1,28,1,29,2,30,1,28,1,6,1,28,2,6,1,30,3,6,1,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,1,6,1,30,1,28,1,30,3,29,1,30,2,6,1,30,1,29,1,13,1,7,1,6,2,29,1,7,1,6,1,7,2,8,1,9,1,6,1,30,1,28,2,30,1,28,1,29,1,30,3,28,1,30,1,28,2,30,1,6,1,30,5,28,1,30,2,28,2,30,5,9,1,12,1,24,6,17,13,12,2,17,2,11,1,17,1,9,5,8,1,12,1,8,1,24,1,9,1,13,1,8,2,7,1,8,1,6,1,13,1,8,1,13,1,7,1,13,2,6,3,7,1,30,1,13,1,29,1,13,1,6,1,30,3,7,1,30,1,6,1,13,3,6,1,13,2,9,1,10,1,9,4,7,2,9,1,8,1,13,2,7,2,13,1,6,1,29,1,6,5,7,2,6,3,28,1,30,1,28,1,30,4,28,3,30,1,28,21,30,1,28,3,30,2,28,1,30,2,28,1,6,1,30,1,29,1,6,2,29,1,6,2,8,1,13,1,10,1,17,1,9,2,10,1,8,2,13,5,8,1,7,2,13,1,29,1,13,1,7,1,8,1,13,1,7,1,8,1,6,1,13,1,8,1,7,1,6,1,29,1,7,1,6,1,7,1,6,2,30,1,13,1,6,1,7,1,6,3,29,1,6,1,13,1,7,1,6,1,7,1,6,2,13,5,8,1,13,3,8,2,13,2,9,1,13,1,8,1,13,1,6,1,9,1,8,5,24,1,8,2,13,2,8,1,13,1,8,2,24,1,8,1,13,2,9,1,13,1,8,1,7,1,13,1,24,1,13,1,8,4,7,1,13,1,8,1,13,3,8,1,9,1,8,1,9,1,8,1,13,6,7,1,13,1,7,1,8,1,13,1,24,1,8,1,10,1,8,1,13,1,24,1,8,1,25,2,26,1,8,1,7,1,30,2,28,13,30,1,29,2,30,2,25,2,26,2,8,1,27,1,25,1,27,1,29,1,28,2,29,2,27,2,29,1,25,1,27,5,26,1,6,1,26,1,27,3,26,1,27,1,24,2,25,1,24,3,25,2,24,6,25,1,13,1,30,1,29,2,6,1,30,2,6,1,30,2,29,1,13,2,9,1,8,2,9,2,6,1,30,1,6,1,29,1,6,1,28,1,29,1,13,4,30,1,6,1,30,1,29,1,6,1,30,2,13,1,29,1,7,1,30,1,29,2,6,1,30,2,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,49,30,1,28,1,30,1,6,1,30,2,6,1,7,1,13,1,6,4,7,1,30,1,6,2,28,1,7,1,6,6,13,1,6,3,7,1,6,2,13,1,6,1,7,1,6,2,30,1,13,1,7,1,6,1,13,1,6,1,30,1,6,1,29,1,6,2,30,1,6,2,29,1,6,3,7,1,29,1,30,1,7,1,6,1,7,1,13,1,8,1,13,2,7,1,13,1,6,1,13,4,6,2,7,1,13,1,8,1,9,2,28,1,13,1,9,1,6,2,30,1,6,2,30,1,13,1,29,1,6,1,29,1,6,2,7,1,13,1,7,1,13,1,6,1,13,2,6,1,13,2,6,2,30,1,6,5,30,1,6,1,13,3,6,4,29,1,30,1,28,1,8,1,13,1,6,4,30,1,29,1,30,1,29,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,29,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,5,30,1,6,4,13,4,6,1,13,2,7,1,6,1,29,3,6,2,28,1,6,1,30,1,6,1,28,1,29,2,30,1,6,1,30,3,29,1,6,1,29,1,6,1,28,1,6,1,30,2,6,4,13,2,7,1,6,1,7,1,13,1,6,1,13,1,6,2,30,1,6,7,13,1,30,1,6,2,13,1,6,2,30,1,7,1,30,2,6,4,29,1,6,2,30,1,6,2,30,1,6,2,30,1,6,1,7,1,13,1,8,1,6,1,7,2,6,1,13,1,6,1,13,5,29,1,13,1,7,2,6,1,13,1,6,1,29,1,13,1,6,1,13,2,7,1,6,3,7,1,29,1,6,4,30,1,13,1,8,1,29,1,6,3,29,1,6,3,29,2,6,1,7,1,29,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,6,4,30,1,6,2,30,1,29,2,30,1,6,1,7,1,6,1,28,1,6,3,29,2,6,2,29,2,6,2,28,1,6,2,30,1,29,3,6,1,30,1,6,1,13,1,29,1,30,2,6,3,11,1,13,1,30,1,7,1,13,1,6,1,9,1,13,2,30,1,6,4,13,1,6,2,13,2,6,1,13,2,7,1,13,3,6,2,7,1,13,1,6,2,30,1,6,1,13,2,6,2,7,2,13,1,6,1,7,2,13,1,30,1,6,2,29,1,6,2,29,1,7,1,6,1,13,4,29,1,7,1,29,1,6,1,13,1,30,1,6,8,13,1,29,1,6,4,29,1,6,1,7,1,6,5,30,1,6,2,30,2,6,5,29,1,30,1,6,2,30,1,7,1,30,1,6,10,30,1,6,1,30,1,13,1,17,1,28,1,6,1,30,1,28,1,30,2,29,1,30,1,6,1,30,3,13,1,30,2,29,1,6,1,29,1,30,1,6,2,30,1,6,1,29,1,30,1,6,2,30,1,28,2,30,6,29,1,6,2,29,1,30,1,29,1,6,1,30,2,29,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,29,1,30,3,6,2,30,1,29,1,6,2,29,1,30,1,6,9,29,1,6,1,30,6,29,1,30,8,28,1,30,3,6,2,30,1,6,3,29,2,30,3,29,2,30,1,28,1,6,1,30,5,29,1,30,2,6,1,30,2,6,1,30,6,28,1,30,3,13,3,30,1,6,1,28,1,29,2,30,1,6,1,30,3,28,1,6,3,13,1,30,1,6,1,29,1,6,2,7,1,6,2,29,1,30,1,6,2,30,3,6,1,30,4,29,1,6,1,7,1,30,1,6,1,30,1,28,1,6,1,30,4,29,1,30,1,6,1,30,1,29,1,30,2,6,4,30,2,29,1,30,3,29,2,30,2,28,4,29,1,30,2,28,1,30,2,28,41,6,1,29,1,28,1,29,2,28,16,6,1,7,1,13,7,8,2,11,2,8,2,13,1,9,1,8,1,9,2,13,4,8,1,13,1,9,2,11,1,9,1,8,1,16,1,17,3,11,1,17,1,16,1,8,1,11,2,9,1,16,1,11,1,17,2,11,3,17,1,11,1,17,1,11,2,17,3,11,1,17,3,16,1,17,5,11,1,17,4,11,2,17,1,11,1,10,1,7,1,30,1,29,2,30,2,28,1,30,1,28,1,30,1,28,2,30,4,6,2,30,1,6,2,29,1,6,1,13,1,6,1,30,3,6,1,30,1,29,1,30,1,6,1,30,3,29,1,28,1,6,1,28,1,30,1,29,1,6,1,30,2,29,1,30,1,6,1,30,3,28,1,6,1,28,1,30,1,28,2,13,1,6,1,29,1,30,1,6,1,29,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,8,1,13,4,8,3,13,1,8,2,11,1,9,1,16,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,8,1,13,2,28,26,30,1,28,33,30,4,13,2,6,4,13,1,6,1,7,2,29,1,7,1,13,1,6,2,29,1,6,1,30,1,29,1,6,1,30,2,13,1,30,1,6,1,30,2,28,1,6,1,30,1,29,1,6,1,28,1,29,1,30,2,6,1,30,1,6,2,30,1,6,2,30,2,6,1,30,1,6,2,13,2,7,2,13,1,6,1,8,1,13,2,7,3,13,2,6,1,13,1,6,1,13,1,8,1,30,1,13,5,7,1,13,8,29,1,13,4,9,1,13,1,9,2,11,1,10,1,13,1,6,1,30,1,28,1,30,2,28,22,30,2,28,2,30,2,6,2,29,3,6,1,30,2,29,2,7,1,29,1,6,1,13,1,9,1,24,1,13,1,8,1,9,1,8,1,12,1,17,4,11,2,10,1,13,1,30,1,28,3,30,1,29,1,30,1,28,3,30,1,28,9,30,1,6,1,28,8,30,1,28,3,30,4,28,4,30,3,28,4,30,2,28,2,30,1,9,1,11,1,13,3,6,8,28,1,30,2,28,36,30,1,28,2,30,2,28,6,30,1,28,1,30,1,28,4,30,2,28,1,30,1,28,13,30,1,28,16,30,1,29,1,7,1,6,3,29,3,6,1,30,1,29,1,28,1,6,1,29,1,30,4,6,2,7,1,6,1,13,2,7,2,9,1,13,1,30,1,28,21,30,1,28,23,6,1,13,1,8,1,11,1,10,1,11,1,12,1,17,1,16,1,13,1,30,1,7,1,13,1,9,1,6,1,28,16,17,3,11,1,13,1,6,1,30,1,29,1,30,1,29,1,28,4,30,1,28,2,30,1,28,3,30,2,29,1,7,1,11,2,16,1,11,1,16,1,17,1,16,1,29,1,28,2,30,1,28,2,13,1,8,1,13,1,29,1,28,41,6,1,8,1,13,1,7,1,30,1,28,1,13,1,17,2,9,1,30,1,29,1,30,1,13,1,6,1,13,2,11,1,17,3,9,1,28,6,6,1,7,1,28,12,6,2,29,1,28,1,30,2,}, {17,5,10,1,9,1,7,1,13,1,6,1,28,1,30,1,28,1,30,1,6,1,11,1,6,1,28,11,30,1,28,35,30,1,28,3,6,2,9,1,17,1,8,2,29,1,7,1,13,1,6,1,10,1,12,1,8,1,6,1,13,1,8,1,7,1,9,3,16,1,12,1,17,4,11,3,9,1,13,1,6,1,30,2,9,2,8,1,6,3,29,1,8,2,17,5,16,1,10,1,9,3,12,1,16,1,12,1,16,1,17,1,12,1,13,2,6,1,8,2,13,1,8,1,24,1,6,1,28,34,29,1,30,1,29,1,8,2,24,1,8,1,9,1,6,2,30,2,28,2,13,1,17,6,16,2,11,1,10,1,11,2,13,2,6,1,29,2,6,1,13,3,8,1,13,3,11,2,17,1,16,2,17,2,30,1,28,15,29,1,7,1,6,4,30,1,6,1,7,1,6,3,28,1,30,1,28,1,30,2,29,1,28,1,30,7,6,1,30,1,29,1,13,1,6,1,30,1,6,1,30,1,29,1,30,1,29,2,6,1,30,1,6,1,30,1,29,3,6,2,30,6,6,1,30,2,6,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,7,6,2,30,1,29,1,6,1,30,1,28,1,30,3,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,3,29,1,28,2,30,1,28,1,6,1,28,1,30,3,28,1,30,5,28,2,6,1,28,1,30,3,29,1,30,2,6,1,30,4,6,1,30,3,6,1,28,1,30,1,28,1,30,3,28,2,30,2,29,1,28,2,29,1,30,1,28,1,30,2,28,1,30,1,29,1,30,2,6,3,29,1,13,1,6,1,13,1,6,1,13,1,8,1,13,3,29,1,30,5,6,1,28,1,30,1,28,2,30,1,28,1,30,2,29,1,30,3,28,1,29,1,30,1,29,1,30,1,28,1,30,3,28,1,30,1,6,1,8,1,12,1,24,3,13,1,7,2,8,2,24,1,17,10,12,3,17,1,12,1,9,2,10,1,9,3,12,1,9,1,13,1,12,1,8,1,9,1,13,1,8,1,13,5,8,1,13,5,7,1,13,1,7,1,6,4,28,1,30,4,29,1,7,2,13,2,8,1,13,1,8,2,11,1,8,3,24,1,6,1,30,1,13,1,6,1,7,1,6,1,13,1,7,1,13,2,7,1,29,1,6,1,7,1,30,1,13,1,6,3,28,1,6,1,29,1,30,4,6,1,28,7,30,1,28,11,30,1,28,1,30,1,28,1,30,2,28,6,29,1,30,3,28,1,6,1,30,1,13,1,7,2,6,2,13,2,9,1,11,2,10,1,13,2,8,3,13,1,8,3,13,3,7,1,29,1,8,1,13,2,7,1,29,1,13,1,29,1,6,4,13,1,6,1,29,2,7,1,6,1,7,1,6,1,7,1,29,1,6,3,7,1,29,1,30,1,7,1,13,3,7,1,13,1,8,1,13,2,8,3,13,1,8,1,13,2,8,2,24,1,13,1,24,1,13,2,8,1,24,2,8,1,7,1,8,2,7,1,13,2,8,2,6,1,8,1,13,1,9,1,8,1,13,1,24,1,7,1,8,1,24,1,13,4,8,2,24,1,13,1,8,1,13,2,8,1,13,1,9,1,13,2,9,1,13,1,8,1,13,1,8,1,7,1,8,1,7,1,13,1,6,1,9,1,8,2,24,2,8,1,13,1,24,1,8,2,25,4,30,1,29,1,28,13,30,3,28,2,29,1,27,1,8,1,27,1,8,1,25,1,27,1,25,1,27,1,30,1,28,1,29,1,27,1,29,2,27,3,26,1,30,1,27,2,26,1,29,1,6,1,29,1,26,1,27,1,26,1,25,2,24,1,25,2,24,1,25,2,24,1,25,1,24,2,8,3,24,1,6,1,13,1,6,3,30,2,6,2,30,3,7,2,13,1,8,1,9,1,7,1,13,1,28,1,30,1,28,2,30,2,28,1,6,2,30,1,6,1,28,5,30,1,28,2,30,2,28,3,29,1,28,1,30,1,6,2,28,1,29,1,30,3,28,37,30,3,6,1,30,1,6,2,13,1,30,1,6,7,7,1,13,2,6,1,13,1,6,1,7,3,13,1,30,1,13,1,30,1,6,2,13,1,6,4,30,1,6,2,29,4,6,2,30,1,6,3,30,1,29,1,6,1,29,2,6,1,30,1,28,1,29,1,6,2,30,1,29,1,6,1,30,1,6,2,7,1,30,1,7,1,13,1,29,1,13,5,7,1,9,1,8,1,13,1,6,1,13,2,7,1,13,2,6,1,8,4,29,1,9,1,13,1,6,3,30,1,6,4,13,1,30,1,6,1,28,1,6,1,7,1,29,1,13,1,6,2,7,1,13,1,6,1,8,1,13,1,6,3,30,1,6,1,30,1,29,3,7,1,29,1,7,1,6,4,29,1,30,1,29,1,8,1,29,1,30,4,29,1,30,2,29,1,30,1,29,1,6,2,29,1,6,1,28,1,30,1,29,3,30,1,6,1,30,1,6,1,29,2,30,1,6,1,13,1,29,1,6,1,30,1,6,1,13,1,6,5,29,1,6,1,7,1,6,3,29,1,6,1,29,1,30,3,6,1,29,1,6,10,29,1,6,2,30,2,6,1,30,1,29,1,6,1,28,1,6,1,30,1,28,1,29,1,6,1,30,1,6,1,30,1,13,1,28,1,6,1,7,1,6,4,30,1,13,2,6,7,30,1,7,1,30,1,6,4,30,1,6,8,13,1,30,1,13,2,30,1,8,1,13,1,6,1,29,1,13,1,6,1,7,1,13,1,7,1,13,1,7,1,6,1,7,1,6,2,13,2,6,2,13,1,6,3,13,1,6,2,29,1,6,1,30,1,6,2,29,1,6,3,13,2,6,1,7,1,6,1,7,1,6,3,30,1,6,1,30,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,13,3,30,1,6,1,30,1,7,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,13,1,6,1,30,3,29,1,6,1,29,1,6,4,30,1,13,1,6,1,13,1,6,3,30,1,13,1,29,1,30,1,6,1,29,2,6,4,13,1,8,1,13,2,6,1,13,1,9,1,13,1,6,3,13,2,6,1,13,1,29,1,6,2,7,1,13,3,6,1,13,2,29,1,6,2,13,1,6,3,13,1,6,1,13,2,29,1,13,4,6,1,13,2,7,1,6,3,7,1,6,1,7,2,6,1,30,1,7,1,8,1,13,2,29,1,13,1,6,1,7,1,6,4,7,1,13,1,6,2,29,2,6,1,30,1,6,1,13,1,6,3,7,1,29,1,6,1,13,1,6,1,13,1,6,2,30,1,6,1,30,1,6,3,29,1,30,1,13,2,7,1,30,1,6,1,7,1,30,2,6,3,29,1,7,1,6,1,29,1,30,2,28,1,6,1,30,1,6,1,29,1,9,1,17,1,6,1,13,1,30,1,28,1,30,4,29,1,6,1,29,1,6,1,29,2,30,2,28,2,29,1,6,1,30,2,7,1,6,3,30,3,6,1,30,1,6,1,30,2,28,1,30,3,7,1,30,1,6,1,30,2,6,1,29,1,30,1,6,1,28,1,30,2,29,1,30,2,29,1,6,1,28,1,30,1,6,1,29,1,28,1,30,2,6,3,13,1,6,2,30,2,29,1,30,2,6,1,29,1,30,4,29,1,30,4,29,1,30,5,6,1,30,3,6,1,29,1,6,1,30,1,29,1,6,1,30,2,29,2,30,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,30,1,28,1,30,1,29,1,30,1,28,1,6,2,30,1,6,1,29,3,28,1,29,1,30,4,6,2,29,1,28,1,30,2,29,1,6,1,30,1,29,1,30,2,28,1,30,1,6,1,30,1,6,2,13,1,30,1,6,1,29,1,6,2,30,2,6,1,7,1,30,2,6,3,30,2,6,1,30,3,6,1,13,1,7,1,30,1,6,2,30,1,29,3,30,1,29,2,30,2,29,1,30,1,6,1,28,1,30,1,13,1,6,1,30,2,13,1,30,1,29,1,30,2,29,2,28,1,30,2,13,1,6,1,7,1,13,1,6,1,30,2,7,1,13,1,6,1,28,1,30,2,28,3,30,2,28,1,6,1,28,2,30,2,28,2,30,2,28,3,30,1,28,4,30,2,28,12,6,1,13,1,6,2,30,1,28,17,30,1,13,4,9,1,13,3,9,1,11,1,9,2,13,1,8,1,9,1,13,2,9,1,7,1,9,1,13,1,9,4,13,2,10,1,11,1,9,1,17,4,16,1,17,1,11,1,9,1,11,2,9,1,11,1,17,2,11,1,9,1,11,1,16,1,11,1,16,1,11,2,17,8,11,2,17,1,12,1,16,1,17,6,12,1,11,1,17,1,9,1,13,1,6,1,30,2,28,1,30,6,28,3,30,4,6,1,30,1,6,2,28,1,6,2,28,2,6,1,30,1,28,1,6,1,30,2,28,1,6,2,30,1,29,1,30,2,6,1,28,1,6,1,30,2,29,1,30,1,28,1,30,1,28,1,29,1,30,4,29,1,30,2,6,1,30,1,7,1,29,2,6,2,29,1,13,1,6,1,7,1,6,1,13,3,8,3,13,1,8,1,13,1,8,1,9,1,13,1,11,3,9,3,11,2,9,1,10,2,9,2,11,1,9,1,13,1,30,1,28,24,30,1,28,34,30,1,28,1,7,1,13,1,30,1,13,1,29,1,7,3,28,1,6,1,13,1,6,1,7,1,6,2,29,1,6,3,7,1,29,1,7,1,6,1,28,1,6,2,28,1,13,1,30,1,29,1,30,1,29,1,28,1,30,1,29,1,28,1,30,1,6,1,30,2,29,1,6,1,30,1,6,2,29,1,6,3,28,1,6,1,13,1,7,1,13,1,6,3,13,1,7,1,13,1,6,1,13,6,6,2,13,2,7,1,13,6,8,2,13,3,8,5,10,1,9,2,11,1,17,1,11,1,9,1,13,1,28,1,30,1,28,24,30,1,28,4,30,1,29,3,30,1,29,1,28,1,8,1,30,1,29,1,6,2,30,1,29,1,6,1,8,1,13,1,8,1,13,1,9,3,11,3,17,1,11,2,10,1,11,1,8,1,30,1,28,3,30,2,28,3,30,1,28,2,30,1,28,5,30,1,28,1,30,1,6,1,28,3,30,1,28,10,30,1,28,2,30,2,28,3,30,1,28,5,30,1,28,2,6,1,13,1,9,1,13,1,8,1,13,1,7,1,13,2,7,1,6,2,30,1,6,1,30,2,28,5,30,1,28,41,30,1,28,2,30,1,28,4,30,3,28,1,29,1,28,31,6,1,29,1,6,3,30,2,6,3,30,1,28,1,30,5,6,1,29,1,6,1,13,1,6,1,13,5,6,1,28,20,30,1,28,23,30,1,6,1,13,1,9,2,11,1,17,1,11,1,16,1,11,1,9,1,6,1,7,1,13,1,9,1,13,1,28,16,17,2,11,1,9,1,6,1,13,1,28,1,6,1,29,1,28,6,30,1,28,1,30,2,28,2,30,2,6,1,13,1,10,1,9,1,16,1,9,1,17,3,7,1,28,5,7,1,13,1,8,1,29,1,6,1,28,40,30,1,9,1,6,2,30,2,9,1,17,2,11,1,6,1,7,2,6,1,9,1,13,2,11,1,16,1,17,2,9,1,28,5,30,1,13,2,28,12,30,2,6,2,28,2,}, {17,4,16,1,11,1,9,1,6,1,8,1,13,1,28,4,8,1,10,1,28,50,30,2,29,1,8,1,9,1,17,1,11,1,13,1,29,1,6,1,29,1,8,1,10,1,17,1,10,1,8,1,13,1,9,1,8,1,13,1,12,2,17,7,12,1,9,1,10,1,30,1,6,1,30,1,6,1,8,1,12,1,8,1,29,1,8,1,30,1,8,1,30,1,8,1,17,4,16,1,11,1,10,1,17,1,8,1,12,1,8,1,17,4,16,1,6,1,13,2,7,1,13,1,24,1,8,2,6,1,28,36,6,1,8,2,10,3,13,1,6,1,29,1,28,1,30,1,28,1,7,1,17,6,16,3,10,1,9,2,13,1,6,1,29,1,28,1,30,1,6,1,13,1,24,1,7,1,13,3,8,2,12,1,17,1,10,1,16,1,17,2,13,1,28,15,6,1,7,1,13,1,6,3,29,1,7,1,30,1,6,2,30,2,28,1,30,1,28,1,29,1,28,4,6,1,30,1,29,1,30,1,6,1,30,2,6,4,30,2,6,2,30,1,6,1,30,3,29,2,28,1,30,1,28,1,30,1,6,1,28,2,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,6,2,30,3,28,1,29,1,30,3,6,1,28,1,6,1,28,1,30,1,28,1,6,1,30,1,29,1,30,4,28,1,29,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,3,28,1,30,2,29,1,30,2,28,1,30,3,28,1,30,12,28,1,6,2,28,2,30,4,28,1,30,10,29,1,30,3,29,1,30,2,29,1,28,1,6,1,13,1,6,1,28,1,6,1,13,8,6,1,30,1,29,1,30,4,29,1,28,2,30,4,28,2,6,1,28,1,6,1,28,3,30,7,13,1,17,1,8,1,13,1,24,2,7,1,6,2,30,1,13,1,24,1,10,1,17,10,12,2,11,1,17,1,11,1,9,1,12,3,8,1,9,1,24,4,8,1,9,1,13,11,6,1,13,1,30,2,6,1,30,2,28,1,30,4,29,1,6,3,13,1,9,1,8,2,13,2,8,1,13,1,7,1,8,1,7,1,13,1,8,1,6,1,13,1,6,1,7,1,6,1,29,1,6,1,30,1,8,1,6,1,13,1,6,1,13,1,30,2,6,3,30,2,28,2,30,1,28,10,30,2,28,5,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,4,29,1,30,1,7,1,6,1,13,1,6,1,13,1,7,1,9,1,8,1,9,1,10,1,12,1,10,1,9,2,13,1,8,1,13,2,8,1,13,1,8,1,13,3,6,1,8,1,13,1,8,1,13,5,7,2,6,2,29,1,6,1,13,1,6,2,30,1,7,1,30,1,7,3,6,1,7,1,6,1,7,1,6,2,7,1,8,1,13,2,7,1,8,1,13,1,8,1,6,1,8,2,13,1,9,1,13,1,24,1,8,1,13,1,7,1,9,1,13,1,9,1,13,1,8,2,24,1,9,1,13,1,8,2,13,1,7,1,24,1,13,2,9,1,13,1,8,1,7,1,13,1,8,1,24,1,13,3,8,1,13,1,7,1,8,2,9,1,8,1,7,1,9,1,8,2,13,2,9,3,13,1,8,1,13,1,7,1,13,1,8,1,13,1,9,1,24,2,8,1,13,1,9,1,7,1,8,1,25,1,8,1,24,1,8,1,25,1,24,1,27,2,29,1,28,15,30,1,29,1,28,1,30,1,27,1,8,2,25,2,27,1,25,1,27,2,28,1,29,3,30,1,27,1,29,1,27,3,25,1,27,1,29,1,27,1,6,4,27,1,26,2,24,5,25,2,24,3,15,1,24,1,8,1,29,1,6,1,13,1,30,1,28,1,30,3,28,3,30,1,8,1,13,2,28,1,6,1,7,1,29,1,28,17,30,2,28,9,30,1,6,5,13,2,29,1,9,1,30,1,28,2,6,1,28,15,29,1,28,1,30,4,6,3,30,1,6,1,13,1,6,6,7,1,6,1,7,1,29,1,6,1,29,1,6,3,30,1,6,1,30,1,13,1,7,1,6,3,30,1,6,2,13,1,30,1,6,1,7,1,6,1,13,1,6,2,29,1,13,1,30,1,6,2,30,1,29,2,30,1,6,1,29,4,6,4,30,2,6,1,30,1,6,1,30,1,6,1,13,1,7,1,30,1,6,9,13,1,6,4,13,7,8,1,13,2,6,1,13,2,6,1,13,1,9,1,13,2,6,1,13,1,9,1,13,1,30,1,13,1,28,1,6,2,30,1,6,1,30,1,6,1,30,1,6,2,13,1,6,1,29,1,30,2,6,1,13,3,29,1,13,1,6,1,29,1,6,1,30,1,13,1,30,2,29,1,28,1,30,1,6,4,30,1,29,1,6,1,30,1,7,1,13,1,6,3,30,1,29,1,30,2,6,3,7,1,6,1,29,3,6,1,30,3,6,1,30,2,6,3,30,1,29,1,30,1,6,1,30,1,29,1,6,1,13,1,6,2,29,2,30,1,6,3,30,1,29,1,6,1,7,3,6,3,7,1,6,1,13,1,30,1,29,2,30,1,6,2,29,1,28,1,30,1,29,1,6,3,30,2,7,1,30,1,6,2,29,1,30,2,6,1,30,2,6,1,30,1,29,1,30,1,6,2,29,1,7,1,13,1,29,1,8,1,6,2,7,2,13,1,6,2,13,1,30,1,13,1,30,2,6,1,29,1,30,1,6,2,30,1,6,1,29,1,6,1,29,1,30,1,6,5,7,1,9,1,6,1,9,1,13,1,29,1,7,1,13,1,6,1,13,4,6,1,13,2,7,1,6,1,13,1,6,1,13,2,29,1,6,1,7,1,6,1,29,1,6,3,7,1,6,3,7,1,6,1,13,3,6,1,7,1,6,2,29,1,13,1,7,1,6,1,29,1,30,1,29,2,30,1,6,1,7,1,28,1,13,1,6,1,8,1,30,1,6,1,28,1,6,1,29,1,7,1,30,1,29,1,6,1,29,1,30,2,7,1,6,2,30,1,29,2,6,5,30,1,6,3,29,1,6,3,7,1,6,5,29,1,30,2,29,2,6,1,7,1,29,1,6,1,9,1,6,2,9,1,8,1,6,1,13,1,29,1,6,3,29,1,6,2,7,1,6,4,7,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,3,7,2,13,4,6,1,29,1,13,1,6,1,30,1,6,2,30,1,6,6,13,1,29,1,6,1,13,2,6,6,29,1,30,1,7,1,29,3,6,2,29,1,30,1,29,2,6,1,13,1,29,1,6,1,13,1,6,1,29,1,13,1,29,1,30,1,8,1,7,1,6,3,7,1,6,3,8,1,13,1,29,1,13,1,6,2,13,1,6,3,13,1,29,1,13,1,6,2,30,1,6,3,30,3,9,1,17,1,13,2,28,1,6,1,29,2,6,2,30,2,6,1,30,2,28,1,29,2,28,1,30,1,6,1,30,4,29,1,30,1,6,1,30,1,29,1,30,3,29,1,30,2,6,1,30,1,28,2,6,1,30,2,6,2,30,4,29,2,30,1,6,1,28,1,30,2,6,1,30,1,28,1,6,1,30,1,6,1,7,1,29,1,6,1,28,1,30,2,6,1,30,1,6,1,30,2,29,2,30,1,29,1,28,1,30,2,29,1,30,2,6,1,30,2,29,2,30,9,28,1,30,2,29,2,6,1,30,1,29,2,6,2,30,1,29,3,6,1,29,1,30,1,29,1,30,1,6,1,30,3,6,1,29,1,6,1,30,2,6,2,30,2,29,1,30,3,6,2,13,2,29,1,6,1,29,1,30,4,6,1,30,2,29,1,30,1,6,2,30,1,6,1,29,1,6,1,13,1,29,1,6,1,29,1,13,1,6,1,13,1,29,1,6,3,13,1,6,1,30,2,6,2,13,1,29,1,30,1,6,3,30,1,7,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,29,2,6,1,30,1,13,1,30,4,29,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,28,1,30,1,8,1,13,1,6,1,7,1,30,1,28,1,6,1,30,8,28,1,6,1,28,2,30,1,28,1,29,1,6,1,28,2,6,1,30,1,28,1,6,1,28,2,30,1,6,1,30,2,6,1,30,1,7,1,28,1,6,1,29,1,30,2,6,1,30,2,6,3,8,1,29,1,28,1,30,2,28,16,30,1,6,1,13,3,8,1,7,1,13,2,10,1,13,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,7,1,6,1,13,1,9,2,11,2,9,1,11,1,17,3,16,1,11,2,17,1,11,1,10,1,11,4,10,1,11,3,17,4,16,1,17,1,11,1,17,1,12,1,17,3,11,1,17,1,11,1,17,1,16,1,17,4,12,1,17,1,11,1,17,2,11,1,9,1,13,1,30,1,6,1,30,1,29,1,28,1,30,3,28,1,6,1,28,1,30,1,28,1,30,4,6,1,30,1,29,1,30,1,6,2,30,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,28,1,30,2,28,1,30,1,29,1,30,3,28,1,6,1,28,1,30,1,29,2,30,1,6,1,30,3,6,2,30,1,6,1,28,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,13,1,6,1,7,1,13,1,6,1,13,4,7,1,8,1,13,3,9,2,10,1,11,1,9,2,11,1,9,1,8,1,11,2,9,1,10,3,9,3,13,1,30,1,28,60,7,1,6,2,7,1,29,2,6,1,29,1,6,2,29,1,6,2,30,1,6,4,13,1,30,1,13,1,7,1,6,1,7,1,6,1,30,2,7,1,28,2,29,1,6,1,30,2,29,1,6,1,30,1,29,2,30,1,29,1,30,1,6,2,29,1,6,2,29,1,6,2,7,1,6,2,13,3,8,1,13,5,29,1,13,2,7,1,6,1,13,1,8,1,6,1,8,1,13,3,8,1,13,1,7,1,13,2,9,1,13,1,9,2,6,1,12,1,9,1,10,1,11,3,17,2,11,1,9,1,6,2,30,1,28,4,30,1,28,20,30,1,28,3,30,1,29,1,30,4,6,6,30,1,7,1,29,1,6,1,24,1,13,2,24,1,8,1,13,2,11,1,10,1,17,1,16,1,9,3,11,1,13,1,30,1,28,2,30,2,29,1,6,2,30,1,28,12,6,1,30,1,28,10,30,1,28,11,30,1,28,6,30,1,29,1,8,1,9,1,8,3,13,1,6,1,13,1,6,1,30,5,28,12,30,1,28,15,30,1,28,8,30,1,28,3,30,1,28,12,6,2,29,1,28,7,30,1,28,3,30,1,28,2,30,1,28,19,30,2,28,2,6,1,13,1,6,2,28,1,30,3,28,1,6,1,28,1,30,1,28,1,7,1,30,2,6,3,7,1,13,3,8,1,30,1,28,19,30,1,28,25,13,3,11,1,12,1,17,2,16,1,17,1,9,1,7,1,30,1,13,1,11,1,13,1,28,16,14,1,17,2,8,1,6,1,13,1,6,1,7,1,28,1,29,1,28,1,30,1,28,4,30,1,28,2,29,1,28,1,29,1,13,3,8,1,11,1,9,1,16,1,9,1,17,2,28,2,30,1,28,1,30,1,28,1,9,3,30,1,28,41,6,4,28,2,10,1,17,2,9,1,13,1,29,1,13,5,10,1,17,3,30,1,28,6,7,1,6,1,28,11,30,1,6,1,29,1,28,2,30,1,28,1,}, {17,5,11,1,8,1,13,2,30,3,28,1,29,1,13,1,11,1,6,1,28,50,6,1,13,2,8,1,17,1,10,1,9,1,13,1,30,1,6,1,13,2,11,1,9,2,8,2,13,1,24,1,8,1,9,1,16,1,17,7,12,1,9,1,7,1,28,1,29,1,28,1,8,2,9,1,29,1,6,1,7,1,30,2,24,1,17,5,12,1,11,1,13,2,9,1,10,1,9,1,17,4,28,1,6,1,8,1,13,1,24,1,8,2,9,1,29,1,28,35,30,1,6,1,8,2,24,1,10,1,11,1,13,1,30,1,29,1,6,1,28,2,30,1,17,6,16,1,11,4,9,3,30,1,28,1,30,1,7,2,8,2,13,2,8,1,9,1,10,1,9,1,17,5,6,1,28,15,6,1,7,1,6,1,30,1,6,5,30,1,6,2,30,1,28,1,30,1,28,2,6,1,28,1,30,2,6,1,30,2,6,1,28,1,6,1,30,1,6,1,13,1,6,3,28,1,6,4,29,1,30,2,29,1,30,2,6,1,30,3,6,1,29,1,30,9,6,1,30,3,6,1,28,1,6,2,29,1,30,1,6,1,30,1,6,2,29,1,28,2,30,1,28,1,30,1,28,2,30,5,28,2,30,1,28,3,30,2,28,3,30,4,6,1,30,1,29,1,30,1,29,1,28,1,30,2,28,2,30,1,28,1,6,1,28,1,30,3,28,1,30,1,28,1,30,3,6,1,30,1,6,1,30,2,13,1,6,1,30,1,29,1,30,7,28,1,30,1,6,2,28,1,30,2,28,1,6,1,28,1,29,1,30,2,6,1,29,1,6,6,13,1,8,1,13,1,9,1,8,1,13,1,28,1,30,2,6,1,28,1,30,3,28,1,30,6,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,1,29,1,13,1,17,1,24,2,8,2,6,1,30,2,28,2,30,1,29,1,13,1,17,11,11,1,10,1,11,1,9,1,11,1,10,1,11,1,10,1,8,2,13,1,8,4,13,1,8,1,24,1,8,3,13,2,7,1,6,3,30,1,6,1,13,1,28,1,30,7,29,1,6,1,13,2,8,1,9,1,8,1,9,1,6,1,9,1,13,1,9,2,13,2,7,1,13,1,7,1,13,1,7,2,6,2,13,1,29,1,7,1,30,1,7,2,6,1,7,2,30,1,29,1,30,1,28,2,30,6,28,4,30,1,28,14,30,1,28,10,30,2,28,1,6,1,30,2,6,2,7,1,13,2,7,1,9,2,10,1,17,1,11,1,12,1,11,1,9,1,11,1,9,2,8,1,13,2,8,3,13,1,8,2,13,2,7,1,13,3,6,1,7,2,29,1,7,1,6,1,7,1,30,1,6,1,13,1,7,2,6,1,13,1,6,1,7,1,13,2,29,1,13,1,7,1,13,2,6,1,13,3,9,1,13,1,7,1,8,1,24,1,13,2,8,1,6,1,13,3,8,2,6,1,7,1,9,2,13,1,9,1,8,1,13,1,8,4,13,1,8,1,13,2,8,1,13,6,7,1,13,1,7,1,8,1,13,4,8,1,13,3,8,3,9,1,8,3,9,1,8,2,9,1,11,1,8,1,24,1,9,1,7,1,13,1,6,1,30,1,26,1,24,5,25,1,26,1,27,2,29,1,28,11,30,1,28,2,29,2,30,1,29,2,27,1,25,1,26,1,25,1,26,1,27,1,25,1,27,2,28,1,27,2,29,2,27,8,26,1,6,1,28,1,7,1,6,1,29,1,25,1,8,1,25,1,24,3,25,4,24,1,25,1,24,1,8,2,29,1,28,11,13,1,6,1,13,3,6,2,28,7,30,1,13,1,6,2,7,1,13,1,30,2,28,8,30,1,28,1,6,2,7,1,13,5,11,1,8,1,13,1,9,1,16,1,8,1,6,1,30,1,6,3,13,1,6,1,30,1,6,1,30,1,6,1,28,1,30,4,6,1,29,1,6,4,30,1,6,1,7,1,6,2,13,1,6,3,30,1,6,5,7,1,6,1,7,1,29,1,6,3,13,1,6,2,29,1,6,3,29,1,7,1,30,1,6,1,30,1,6,2,7,1,6,3,30,1,6,4,30,1,7,1,29,1,30,1,6,2,30,1,6,1,30,1,28,1,6,1,30,3,6,3,29,1,30,1,29,1,30,2,6,1,30,1,29,1,6,1,30,1,6,3,30,1,6,1,29,1,6,2,30,1,13,1,6,4,13,1,30,1,7,1,6,4,13,2,7,1,8,1,7,2,6,1,29,1,13,2,8,2,6,1,30,1,7,1,6,2,29,1,6,5,29,1,30,1,7,1,29,1,6,8,29,1,6,2,29,1,7,1,6,2,13,1,29,1,6,4,13,1,6,2,30,1,6,1,28,1,13,1,6,2,13,1,6,1,28,1,30,1,6,1,30,1,29,1,30,1,6,1,7,1,6,1,30,1,6,2,29,2,6,1,29,1,30,1,6,3,30,1,6,1,29,1,30,1,6,3,7,1,6,2,13,1,30,1,6,1,28,1,6,1,29,1,6,1,30,1,7,1,29,3,6,3,29,3,30,1,6,1,30,2,6,1,30,3,6,3,29,1,6,1,29,1,6,2,30,2,6,2,29,1,30,2,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,2,30,1,13,1,6,1,30,1,6,2,13,1,6,1,29,1,13,1,6,5,30,1,6,1,29,1,6,2,7,1,6,1,30,1,6,3,29,1,6,1,13,1,6,3,29,1,13,4,6,3,13,2,6,1,13,1,8,1,13,2,6,2,7,1,13,1,6,3,29,1,6,1,13,1,29,1,6,2,29,1,6,2,29,1,6,4,7,1,13,2,6,1,29,1,6,1,30,1,7,1,6,2,29,1,30,1,6,6,13,2,8,1,13,1,8,1,29,1,6,1,7,1,6,2,30,1,6,2,29,1,6,2,30,1,6,3,30,1,6,1,30,1,29,1,30,1,6,1,29,1,30,1,6,5,30,1,6,2,30,2,6,3,29,2,6,1,29,1,6,1,29,1,30,2,29,1,6,2,13,2,17,1,30,1,6,3,28,1,30,1,6,1,30,1,6,1,29,1,6,3,13,2,7,1,6,1,29,1,13,1,6,2,7,1,6,3,13,1,30,1,7,1,13,4,6,1,13,1,6,4,7,1,6,6,29,1,6,3,30,1,6,1,13,1,29,1,30,2,6,1,29,1,30,1,29,1,6,1,30,1,29,1,30,5,6,2,30,1,6,2,13,1,6,3,30,1,7,1,13,1,7,1,6,1,7,1,6,1,13,1,6,4,30,1,13,2,30,1,13,1,6,1,30,1,6,1,28,1,13,1,6,2,13,2,30,4,6,2,29,1,6,2,9,1,13,1,8,1,13,1,30,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,30,1,6,2,28,1,30,1,29,1,6,1,28,1,30,1,29,3,30,1,6,3,29,2,30,1,29,1,30,1,28,1,30,1,28,1,6,5,28,1,30,1,6,1,28,1,30,2,6,1,30,1,6,1,30,2,29,1,30,1,29,1,30,1,29,2,28,1,30,4,6,3,30,1,29,1,28,1,30,4,6,1,30,2,29,1,30,3,6,1,28,2,30,2,6,1,28,1,30,2,6,1,30,3,29,1,30,1,6,2,30,2,28,1,6,1,30,1,29,1,6,1,30,2,6,3,30,1,29,1,13,1,6,3,30,1,6,1,30,1,29,2,30,1,28,1,6,3,30,1,6,1,30,3,6,2,7,1,6,1,30,1,6,1,29,1,6,1,30,2,29,1,30,2,6,1,30,2,6,1,30,4,6,2,30,1,6,3,29,1,6,2,13,1,6,2,29,1,6,1,28,1,7,1,13,1,30,1,6,1,29,1,7,1,6,1,30,1,29,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,2,7,1,6,1,30,1,6,1,30,1,28,1,13,1,6,1,28,1,30,1,6,1,30,1,29,1,6,6,30,1,6,1,8,1,13,1,6,1,30,2,6,1,13,2,6,1,28,1,30,2,6,1,28,1,30,7,28,1,30,1,28,1,6,2,29,1,6,1,30,1,28,1,6,1,29,1,30,3,6,1,30,2,28,1,6,4,7,1,6,2,29,1,30,1,6,2,9,1,8,1,13,1,6,2,30,1,28,15,30,1,6,1,13,3,7,1,13,3,8,1,9,2,8,1,9,1,8,4,9,1,8,1,9,2,13,1,9,1,13,2,9,1,13,3,9,1,11,1,16,1,17,4,16,1,11,3,10,1,11,1,17,1,10,1,16,1,17,1,9,1,11,2,10,1,9,1,17,4,11,1,17,8,16,1,17,2,12,1,17,1,11,1,17,1,11,1,17,3,11,1,8,1,30,3,28,1,30,2,28,1,30,2,28,2,6,1,30,3,6,1,30,1,6,1,29,1,6,1,30,2,6,2,30,1,6,1,30,2,29,2,30,1,6,1,30,1,29,2,30,2,29,1,30,2,28,1,6,1,30,2,29,1,28,1,29,1,30,2,6,2,29,2,28,1,30,1,6,4,29,1,6,3,13,1,30,1,13,4,7,1,13,5,8,1,13,1,8,1,9,2,8,1,9,8,11,1,9,3,11,1,9,2,11,1,13,1,30,1,28,21,30,1,28,36,30,1,6,1,30,2,29,1,6,1,30,1,6,3,30,1,6,3,29,1,6,8,7,1,13,2,6,2,30,1,6,1,30,3,29,1,6,1,30,6,6,2,30,1,29,1,13,1,6,6,7,1,13,1,7,1,13,2,9,1,13,2,7,1,13,3,6,1,13,1,8,1,7,1,13,7,9,1,13,1,9,2,8,1,9,1,17,1,9,1,12,1,17,8,9,1,8,1,29,1,30,2,28,25,30,1,28,3,30,3,28,1,30,3,6,2,7,1,28,1,29,3,30,1,8,1,24,1,9,1,8,4,13,1,10,2,11,1,17,1,11,1,9,3,11,1,9,1,30,1,28,3,29,1,30,1,28,1,30,2,28,2,30,1,28,9,30,1,6,1,28,2,30,1,28,21,30,1,28,2,30,1,28,2,30,1,9,3,8,1,7,1,13,3,6,3,30,3,28,2,30,1,28,1,30,1,28,32,30,1,28,5,30,1,28,1,30,2,28,3,30,2,6,1,30,2,28,6,30,2,28,14,30,1,28,6,30,1,28,5,30,1,28,5,30,1,13,2,6,1,30,3,29,2,28,1,30,1,6,1,13,1,6,1,7,1,6,1,7,1,13,1,9,1,13,2,9,1,8,1,6,1,28,18,30,1,28,16,30,1,28,8,30,1,13,3,9,2,10,1,11,1,16,1,11,1,17,1,11,1,10,1,11,1,8,1,30,1,28,15,30,1,14,1,17,1,11,2,13,1,6,2,30,1,28,1,29,1,30,1,28,10,6,1,30,1,6,1,13,2,9,1,10,2,17,2,10,1,28,1,30,1,28,1,30,1,28,2,29,1,9,1,6,1,30,1,28,3,30,1,28,37,7,2,13,1,28,3,9,1,17,2,9,1,13,2,9,1,13,4,9,1,16,1,17,2,6,1,28,6,13,1,6,1,28,12,30,3,28,3,}, {17,4,16,1,11,1,8,2,6,2,29,1,6,1,28,1,6,2,9,1,13,1,28,4,30,1,28,19,30,1,28,23,30,1,28,2,6,1,13,1,10,1,12,1,17,1,13,2,29,1,6,1,13,1,17,1,11,2,9,2,8,1,13,1,8,3,16,1,17,5,16,1,11,1,17,1,8,1,6,1,28,1,30,2,13,1,6,1,10,1,30,2,13,1,29,1,6,1,8,1,17,7,9,1,8,1,9,1,12,1,17,5,13,1,6,1,13,1,8,1,13,1,7,1,13,3,28,34,30,1,28,1,30,1,8,1,9,2,12,1,9,1,13,1,29,1,30,4,6,1,12,1,17,6,11,3,10,1,11,1,9,1,7,1,6,1,29,1,6,1,29,1,13,1,8,1,13,2,8,1,13,1,9,2,10,1,17,1,11,1,9,1,16,1,17,1,13,1,28,15,7,2,13,1,6,1,8,1,6,2,30,1,6,1,28,1,6,2,28,1,30,2,28,3,30,1,28,1,30,4,6,1,30,1,29,1,6,1,30,1,6,2,30,1,13,1,6,1,13,1,29,1,30,1,29,1,6,1,30,1,29,1,6,1,30,3,6,1,30,4,28,1,30,4,29,1,30,1,6,2,30,2,13,1,6,1,13,1,6,1,29,1,6,1,30,3,6,2,30,1,28,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,29,1,30,2,28,1,30,2,28,1,30,2,28,1,30,6,28,1,30,4,28,1,30,1,29,1,28,1,29,1,30,3,28,1,6,1,30,3,28,1,30,1,29,1,30,4,6,1,28,1,6,1,30,2,6,1,29,1,30,4,6,1,30,2,6,4,30,1,6,1,30,5,29,1,30,2,6,4,29,1,13,1,6,2,8,3,13,1,30,1,28,1,30,1,28,1,6,1,29,1,30,1,29,2,28,2,30,2,28,1,6,1,28,2,29,1,30,2,6,1,28,1,30,2,28,1,30,1,6,1,29,1,30,3,8,1,9,1,8,2,6,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,7,1,17,9,11,2,10,1,11,1,9,1,10,1,9,1,11,1,9,1,10,1,8,2,24,1,8,2,13,1,8,1,9,1,10,1,9,1,8,1,7,1,6,1,13,2,29,1,6,1,29,1,6,1,30,5,28,1,30,2,6,1,28,1,30,1,29,1,13,2,9,4,30,1,13,1,8,1,6,1,13,6,6,1,13,1,6,2,13,1,7,1,6,2,13,3,7,1,30,2,6,1,29,1,6,1,30,2,28,1,30,2,28,1,30,1,28,8,30,2,28,20,30,3,6,2,28,1,6,2,13,2,6,1,7,1,13,1,9,2,17,1,12,1,17,2,10,1,12,1,11,1,8,2,9,2,13,2,8,5,13,2,8,1,7,1,13,1,7,2,6,1,13,1,7,1,13,3,6,1,13,1,6,1,13,1,7,3,13,1,7,1,6,1,13,1,7,1,30,1,13,1,7,3,13,1,24,1,7,1,24,1,13,2,8,1,13,1,9,1,13,2,8,2,13,1,10,1,13,1,8,2,9,1,13,1,8,1,9,2,11,1,8,2,13,1,8,2,13,1,8,1,13,2,8,1,13,2,9,1,8,3,13,1,8,1,6,1,13,3,8,1,24,2,13,1,9,1,7,1,24,1,13,2,24,1,8,1,9,2,10,2,17,1,9,1,11,1,24,4,8,1,25,1,8,1,25,1,8,1,24,2,25,2,26,1,25,1,27,2,29,1,28,7,30,1,28,1,30,1,28,4,29,3,27,2,25,1,27,3,29,1,26,1,27,2,30,1,27,2,28,1,29,1,27,8,25,1,6,1,13,1,6,2,26,1,25,1,8,1,25,1,8,1,24,3,25,1,8,1,25,1,8,1,24,1,8,2,25,1,13,1,6,1,28,1,30,2,28,2,30,1,29,1,30,1,28,1,13,2,8,1,13,1,9,5,13,2,9,1,8,1,13,1,9,1,13,1,9,2,13,8,8,1,9,2,6,1,13,3,8,1,13,1,8,1,9,2,13,7,6,1,13,1,8,1,13,1,6,1,30,1,29,1,13,1,30,1,6,5,30,1,6,1,7,1,6,2,13,1,6,5,13,1,30,1,6,2,13,1,6,2,13,2,7,2,6,2,13,1,6,2,30,1,6,3,13,1,6,4,7,1,6,2,13,2,6,3,13,1,6,1,29,1,30,1,6,5,30,3,6,1,30,2,6,1,30,3,6,1,30,1,6,1,30,1,6,2,7,1,6,2,29,1,6,1,30,1,6,1,30,4,6,3,29,1,30,1,6,3,7,1,6,2,29,1,13,1,29,1,13,1,6,5,7,1,6,1,7,1,6,2,13,1,30,1,13,1,6,1,7,1,8,1,9,1,13,1,30,1,9,1,13,1,6,3,30,1,6,4,30,1,29,1,6,1,29,2,6,2,29,1,6,1,7,1,6,2,29,1,6,2,29,1,6,2,29,1,13,1,30,2,29,1,30,1,6,4,30,1,29,4,6,1,13,1,30,1,6,2,30,1,6,1,30,1,7,1,30,2,6,4,29,2,6,1,29,1,30,2,6,4,30,1,29,1,6,1,30,1,6,3,13,1,29,1,6,2,29,1,6,1,7,1,13,1,6,1,29,1,6,1,30,1,6,2,29,1,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,30,1,29,1,7,1,30,1,6,1,29,1,30,3,6,1,30,1,6,3,30,1,6,1,29,1,28,1,29,1,6,1,30,1,29,1,30,3,29,1,6,1,28,1,6,1,29,1,30,1,13,1,6,4,7,1,29,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,7,2,6,6,7,3,6,5,30,1,13,1,29,1,30,1,13,2,6,6,13,8,6,1,29,1,30,1,6,2,29,1,6,1,13,2,6,2,29,1,6,2,13,1,29,1,6,2,30,1,13,2,6,3,7,1,6,2,30,1,6,2,30,1,29,1,6,9,30,1,6,2,30,1,29,1,30,1,6,1,30,1,29,1,30,3,7,1,6,1,30,1,29,1,6,1,30,1,6,1,29,1,30,1,6,2,29,2,6,2,13,1,30,1,6,2,30,1,6,2,29,1,6,3,30,1,6,2,13,1,6,1,29,1,13,1,6,1,30,1,8,1,17,2,28,1,30,1,6,1,29,1,6,7,30,1,29,1,6,5,30,1,6,6,13,1,6,2,7,1,6,4,7,3,6,2,30,1,6,1,13,1,29,1,13,1,29,1,6,5,30,1,6,3,13,1,6,1,30,1,29,2,13,1,30,1,6,1,29,3,30,1,6,2,30,2,13,1,7,1,6,1,13,1,30,1,6,2,13,1,6,1,29,4,7,1,6,1,30,1,29,1,6,2,30,1,8,1,7,1,6,5,30,1,7,1,6,2,29,1,13,1,6,1,30,1,13,1,6,1,29,1,13,2,6,1,13,2,28,1,17,1,8,1,6,3,13,1,6,3,30,2,29,1,30,2,29,2,30,1,6,2,29,1,30,1,29,1,6,2,30,1,29,1,30,2,28,1,6,1,28,1,29,1,6,1,29,1,6,1,30,3,6,1,29,1,7,1,30,1,6,1,30,3,6,1,30,3,29,2,30,2,6,1,30,1,28,1,6,1,28,2,30,1,6,1,30,1,28,2,29,1,30,1,28,1,30,1,29,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,29,2,30,1,29,1,30,1,29,1,6,1,30,5,6,1,29,1,6,1,29,1,30,2,6,2,29,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,29,1,6,1,29,3,6,1,29,1,6,1,30,1,6,1,30,3,6,1,28,1,29,1,30,1,29,2,30,2,29,1,30,1,28,1,30,1,6,1,30,1,6,1,29,1,6,2,7,1,30,1,6,1,29,1,6,3,29,1,30,1,6,5,30,1,7,1,13,2,6,2,13,2,6,1,7,1,6,1,29,1,6,1,13,1,6,1,7,1,6,2,13,1,29,1,30,1,7,1,30,1,6,2,30,1,7,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,3,30,1,6,1,29,1,30,1,6,3,13,1,30,2,6,1,29,1,30,1,13,1,29,2,30,1,29,2,28,1,13,1,6,2,30,4,6,1,28,1,30,4,29,3,13,1,29,1,6,2,29,1,30,1,6,2,28,1,29,1,28,1,30,1,6,1,30,1,6,1,29,1,30,1,28,1,6,2,30,1,6,1,28,1,6,1,7,2,6,1,13,2,6,1,28,2,30,2,28,15,6,1,13,1,8,1,13,1,8,1,13,5,8,1,13,1,9,1,13,3,9,2,8,1,9,1,8,1,11,1,9,1,13,1,9,1,13,1,9,3,8,1,17,1,16,1,17,6,11,3,16,1,11,1,10,1,11,1,9,1,17,1,9,3,16,2,11,1,17,1,11,2,17,1,11,1,12,1,17,1,11,3,17,1,11,1,17,4,11,1,17,1,9,1,17,2,12,1,11,1,9,1,13,1,30,2,29,1,30,3,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,30,4,29,1,6,2,29,1,30,3,29,1,30,1,6,1,30,2,29,1,30,2,28,2,6,1,28,1,30,1,28,1,30,1,6,1,28,2,6,1,30,1,6,1,30,2,6,2,29,1,30,1,6,1,28,1,6,1,30,1,6,4,13,1,6,1,13,2,8,1,29,1,13,1,7,1,6,1,13,1,6,1,9,1,7,1,13,1,9,1,7,1,8,1,9,2,8,1,13,1,9,1,8,1,9,2,11,1,9,2,11,1,9,4,13,1,30,1,28,20,30,1,28,35,30,2,28,3,30,2,6,2,29,1,7,1,6,2,29,1,6,3,30,1,13,1,6,1,30,1,29,2,30,1,6,6,30,1,28,1,6,1,30,2,29,1,28,1,30,2,6,4,28,1,6,1,29,1,6,1,30,1,6,1,30,1,13,2,30,1,6,1,7,1,6,1,7,1,13,1,8,1,13,3,6,1,13,1,6,1,13,1,8,3,13,1,8,1,9,1,13,3,8,1,9,1,8,1,9,2,12,3,17,2,12,1,17,6,10,1,13,1,7,1,28,1,30,2,28,26,30,3,28,3,30,2,6,1,29,1,30,1,6,3,28,1,30,1,6,1,7,1,8,1,24,1,8,3,13,1,9,1,8,2,11,1,17,1,11,1,8,3,10,1,17,1,13,1,30,1,28,5,30,3,28,13,6,1,30,1,28,4,30,1,28,4,30,1,28,4,30,1,28,9,30,2,28,3,6,1,9,4,13,1,7,1,13,1,6,1,13,1,6,2,28,1,29,1,30,2,28,4,30,2,28,7,30,1,28,14,30,1,28,2,30,1,28,12,30,1,29,1,30,2,28,1,30,3,28,5,30,1,28,5,30,1,28,1,30,1,28,8,30,2,28,3,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,8,6,1,13,1,7,1,13,1,30,2,6,1,30,1,6,2,7,1,6,1,7,1,13,2,8,4,9,1,10,1,28,19,30,1,28,25,13,1,7,2,6,1,8,1,11,1,9,1,11,1,16,1,11,1,8,1,11,1,17,2,13,1,30,1,28,15,6,1,17,2,9,2,13,1,30,1,6,1,29,1,30,2,28,4,30,1,28,6,30,1,28,1,6,1,13,1,9,2,11,2,17,2,9,1,28,6,13,1,8,2,30,1,28,41,6,2,29,1,28,3,11,1,17,2,9,1,13,3,6,1,13,3,9,2,17,2,6,1,28,6,7,1,28,11,30,2,28,1,6,2,28,3,}, {17,4,16,1,11,1,8,1,9,1,13,1,6,1,28,1,6,1,28,2,6,1,9,1,6,1,28,44,30,1,28,3,6,1,28,1,6,1,7,1,8,1,11,1,17,2,13,2,6,1,13,1,6,1,9,1,11,1,24,1,8,2,7,1,13,3,9,1,17,1,10,1,17,3,16,1,17,1,9,3,29,1,6,2,29,1,8,1,9,2,30,1,29,1,6,1,30,1,7,1,13,1,17,6,9,2,12,1,11,1,10,1,17,5,7,1,6,1,13,3,8,1,13,1,7,1,14,1,30,1,28,35,7,1,24,1,10,1,13,1,9,3,13,1,29,1,30,3,7,1,10,1,17,6,9,1,16,3,8,1,13,1,6,2,30,1,28,1,6,1,7,1,8,1,13,1,7,1,8,1,10,1,9,1,11,1,8,1,11,1,17,4,7,1,28,15,6,1,29,1,30,1,6,2,13,2,6,2,30,1,6,2,30,2,6,1,30,2,28,1,29,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,29,1,6,3,29,1,6,1,28,2,6,1,7,1,28,1,6,1,30,5,29,1,28,1,30,1,6,2,30,2,13,1,28,1,29,1,6,2,30,3,28,1,6,1,13,1,29,1,30,1,6,1,30,2,6,1,30,1,6,2,30,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,30,1,28,1,29,1,30,3,28,3,30,1,28,2,30,2,28,1,30,3,28,1,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,4,29,1,28,1,30,2,29,1,30,1,29,1,30,2,28,1,30,2,6,1,30,3,6,1,30,2,29,1,30,3,6,1,30,2,6,1,13,1,30,4,6,1,30,1,6,1,30,1,6,5,7,1,6,1,7,1,6,2,13,4,8,2,7,1,28,1,30,3,6,1,29,1,28,2,30,1,29,1,30,2,28,1,30,2,6,1,30,1,6,1,28,1,29,1,28,2,30,1,29,1,30,4,6,1,28,1,7,1,24,1,8,2,13,1,29,1,28,1,30,1,28,3,30,1,28,1,29,1,13,1,17,8,10,1,11,2,10,1,11,1,8,1,9,3,24,1,13,1,8,3,13,1,8,1,13,2,10,1,13,2,6,1,13,1,7,1,6,2,7,1,30,1,6,1,30,2,28,1,30,2,6,1,30,3,6,1,30,1,6,1,13,2,9,1,11,1,9,1,6,1,7,2,13,2,8,1,7,1,13,4,30,1,13,1,6,1,7,1,6,1,7,1,13,3,7,1,13,1,9,1,6,1,13,1,6,1,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,1,30,3,28,5,30,1,28,4,30,1,28,15,30,1,28,1,30,1,28,2,30,4,6,1,7,1,13,3,8,1,11,1,17,3,12,2,10,1,11,1,12,1,10,1,9,3,24,1,13,1,9,1,13,1,24,1,13,1,8,1,7,1,13,2,8,2,13,1,24,1,6,1,13,6,6,2,7,3,13,1,6,1,7,1,13,1,7,1,30,1,7,1,6,1,13,1,7,1,6,1,13,1,8,1,24,1,13,1,8,1,13,2,9,1,13,1,8,2,13,2,24,1,9,1,8,1,13,1,24,1,13,1,24,1,8,1,13,1,24,1,8,1,24,1,8,1,13,2,8,1,13,2,8,1,13,2,8,1,9,1,13,1,9,1,13,1,7,2,8,2,9,1,13,1,9,1,13,1,9,1,8,1,9,2,10,1,9,2,12,1,24,1,17,1,12,1,17,3,9,1,12,1,24,1,8,2,25,1,27,1,26,1,25,1,24,1,25,2,8,1,26,1,27,1,26,1,27,2,30,1,28,10,30,1,28,2,30,4,26,1,25,1,8,2,25,5,29,2,27,3,29,1,27,1,29,1,25,1,27,1,25,2,8,1,27,1,26,1,8,1,6,1,28,1,13,1,7,2,25,1,24,3,15,1,24,9,8,1,13,9,8,1,9,1,10,1,8,1,9,5,11,1,16,1,11,1,9,4,8,2,9,1,13,2,7,2,13,1,6,1,13,3,6,2,13,4,6,1,13,3,8,1,9,2,10,1,8,1,13,1,9,1,6,1,13,2,7,2,13,2,7,1,6,1,30,1,6,1,29,1,7,1,13,1,7,1,6,5,29,1,30,1,29,1,6,5,7,1,30,1,13,1,6,1,30,1,6,2,30,1,6,1,30,1,6,3,30,1,6,6,29,2,6,2,7,1,6,2,13,1,7,1,6,1,7,1,6,1,7,1,6,2,7,1,6,2,30,1,13,1,6,1,7,1,6,1,13,2,30,1,6,1,30,1,6,1,30,1,6,6,30,1,29,1,28,1,29,2,6,1,7,1,6,4,30,1,29,1,30,1,6,1,7,1,29,1,30,1,6,2,30,2,6,1,30,2,29,1,6,1,30,1,29,1,13,1,7,2,6,5,13,4,29,1,13,1,16,1,13,1,6,1,9,1,13,1,28,1,29,1,6,2,7,1,30,3,6,1,29,1,6,2,30,1,6,1,30,2,6,2,7,1,29,1,6,4,30,1,7,1,29,1,6,1,29,1,6,4,29,1,6,1,29,1,6,2,29,1,30,1,28,1,30,1,13,1,6,5,29,1,30,3,6,1,30,2,29,1,6,1,30,1,6,1,30,1,6,1,29,1,30,3,29,1,6,3,30,1,29,1,6,2,29,1,6,6,29,2,6,3,29,1,6,1,29,1,13,1,29,1,6,2,30,1,7,1,30,1,6,2,30,1,29,1,6,1,30,2,29,2,6,2,29,2,30,1,6,1,29,1,30,3,6,1,30,1,6,1,29,1,6,2,29,1,28,1,6,1,13,4,30,1,29,1,13,1,7,3,6,1,13,2,7,1,13,2,6,1,7,2,6,1,7,1,6,2,30,1,6,2,29,1,6,1,30,1,6,2,30,1,6,1,30,1,6,3,29,1,6,3,13,1,6,2,13,2,7,1,6,1,13,1,29,1,13,4,6,1,29,1,6,2,29,2,6,1,29,1,6,1,29,1,6,1,30,1,6,2,29,1,30,1,6,3,13,2,28,1,6,3,30,2,6,1,29,1,6,2,29,1,6,1,29,1,7,1,30,1,7,1,13,1,7,1,6,2,13,1,30,1,6,5,29,1,13,1,6,3,30,2,7,1,13,1,6,7,29,1,30,1,6,5,29,2,13,1,29,1,13,2,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,7,1,6,3,28,1,17,2,28,1,30,1,6,2,30,1,6,1,13,1,6,1,30,1,6,2,13,1,29,1,6,2,8,1,13,2,29,1,6,1,29,1,30,1,29,1,6,1,30,1,7,1,29,2,6,4,7,2,6,3,29,1,13,1,6,3,7,1,29,1,6,2,13,1,29,1,6,4,13,1,30,3,13,1,6,2,30,1,6,1,28,1,6,1,29,1,30,1,6,1,13,1,6,1,29,1,6,1,7,1,13,6,6,2,13,1,6,3,29,1,6,1,13,1,29,2,13,1,8,1,7,1,6,3,30,1,13,1,6,4,29,1,6,2,13,1,6,1,29,1,6,1,30,1,28,1,6,1,13,1,28,1,6,1,17,1,28,1,6,1,7,1,29,1,6,1,7,1,29,1,6,3,7,1,6,1,29,2,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,7,1,6,1,30,2,6,1,30,1,29,1,28,1,7,1,29,1,6,3,30,1,6,1,13,1,30,1,6,2,29,1,6,2,28,1,6,4,30,1,29,1,6,1,30,5,29,1,28,1,30,1,28,2,29,1,30,2,28,1,29,1,28,1,29,1,28,1,29,2,30,4,6,1,30,1,28,1,29,1,30,1,28,1,29,1,30,1,6,1,30,6,28,1,29,1,6,1,29,1,6,1,29,2,6,2,30,1,29,1,6,4,30,1,6,1,28,1,6,1,29,2,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,29,1,30,2,6,2,30,1,29,1,30,1,6,3,30,1,6,1,29,1,30,1,6,1,30,1,6,1,29,1,28,1,30,3,6,2,30,1,6,1,29,1,6,2,13,1,8,1,13,1,6,1,29,1,13,1,7,1,6,1,13,1,30,2,6,3,7,1,6,1,13,1,8,1,7,1,6,2,30,1,6,1,7,1,6,2,7,1,30,1,6,1,13,1,29,2,6,3,30,1,6,1,30,1,6,3,30,1,6,1,28,1,6,1,30,1,6,2,13,1,29,1,6,2,28,1,6,1,8,1,6,1,29,1,30,1,6,1,30,1,6,1,29,1,13,2,29,1,7,1,29,2,6,2,30,2,28,1,6,2,13,2,6,1,30,2,6,1,30,1,6,3,29,1,30,1,13,1,30,1,6,1,29,1,6,1,30,1,6,1,29,2,6,4,30,1,6,7,7,1,30,2,28,15,6,1,13,2,7,1,13,2,9,2,13,4,9,1,8,2,13,2,9,3,13,1,9,9,16,1,17,1,16,1,17,5,11,1,17,1,9,1,11,1,9,1,11,2,10,2,9,2,10,1,11,1,17,1,12,2,11,1,9,1,11,1,17,2,16,2,17,8,11,1,12,1,10,1,17,2,11,1,9,1,11,2,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,2,28,1,30,2,6,1,28,1,13,1,30,3,29,1,6,1,30,1,29,1,30,2,6,1,30,2,28,1,30,2,28,2,30,1,6,1,28,1,30,1,29,1,28,1,30,1,6,1,30,4,28,1,30,1,6,2,29,2,30,1,13,1,6,1,29,1,6,2,13,1,6,1,13,1,6,1,30,1,6,1,7,1,6,1,13,3,8,1,6,1,13,3,8,1,13,1,8,1,9,6,8,1,11,1,13,1,9,2,11,1,9,4,30,1,28,18,30,1,28,36,30,2,28,1,30,2,6,1,29,1,30,1,6,1,30,1,6,2,13,2,6,1,13,1,6,2,30,2,6,1,7,1,6,1,28,1,6,1,30,1,6,1,30,1,29,1,6,2,30,1,6,1,30,2,6,1,30,1,7,1,30,1,6,2,30,1,6,2,29,1,13,1,6,1,29,1,6,1,29,1,6,4,7,1,13,1,6,1,8,1,7,1,6,1,13,6,8,1,9,1,8,1,13,1,9,1,13,1,8,1,10,1,9,2,8,1,9,1,11,1,17,11,9,2,13,2,6,1,29,1,30,1,28,2,30,1,28,30,30,3,29,3,24,1,29,1,28,1,6,1,8,1,6,1,24,1,8,2,13,2,24,2,9,1,10,1,17,1,9,2,13,1,9,2,11,1,16,1,9,1,6,1,28,2,30,2,6,1,30,1,28,16,6,1,28,1,30,1,28,5,30,1,28,4,30,1,28,3,30,1,28,8,30,1,28,3,6,1,10,1,11,1,9,2,8,1,30,1,8,1,13,1,7,1,6,1,13,1,30,2,28,1,30,1,28,12,30,2,28,23,30,1,6,1,30,1,28,3,30,1,28,5,30,1,28,10,30,1,28,2,30,1,28,12,30,3,28,6,30,4,28,8,30,2,11,1,9,1,8,1,13,1,7,1,8,1,9,1,8,1,11,1,16,1,11,1,9,1,12,1,16,1,17,2,16,1,9,1,7,1,30,1,28,1,6,1,28,42,13,1,6,1,7,1,13,1,6,1,8,1,9,2,16,1,17,1,9,1,10,1,12,1,11,1,13,1,28,16,6,1,14,1,17,1,11,1,9,1,7,1,13,1,28,1,29,1,7,1,28,1,30,1,28,1,29,1,28,6,30,3,28,1,13,2,9,1,12,1,11,1,17,3,8,1,28,1,29,1,30,1,29,1,30,2,7,1,8,1,9,1,28,1,30,1,28,41,6,1,29,1,30,1,28,1,29,1,10,1,17,1,11,1,9,1,6,1,13,1,6,1,13,1,7,1,6,2,11,2,17,2,29,1,28,6,13,1,6,1,28,16,30,1,28,1,}, {17,5,9,1,8,1,13,1,8,1,29,1,30,1,28,2,30,1,13,1,17,1,9,1,28,48,29,2,6,2,8,1,10,1,16,1,17,1,6,2,30,1,6,1,30,1,17,1,11,1,9,1,8,2,9,1,8,1,13,1,8,1,9,1,13,1,17,6,11,1,12,1,8,1,6,1,29,1,30,1,6,1,30,1,24,1,9,1,8,1,7,1,6,1,7,1,6,1,13,1,17,7,9,2,17,6,11,1,6,2,30,1,13,2,7,1,13,1,8,1,11,1,30,1,28,34,6,1,28,1,13,3,9,1,12,1,9,1,7,1,29,1,13,1,30,1,28,1,6,1,12,1,17,6,9,1,16,1,11,1,8,1,9,1,13,2,29,1,28,1,30,1,29,1,13,1,6,1,8,1,13,3,9,1,10,1,11,2,17,4,9,1,28,15,13,1,6,1,13,1,6,2,13,1,6,3,30,2,29,1,30,1,28,1,29,1,28,1,30,4,28,1,30,3,6,1,30,1,6,1,30,1,28,2,30,1,7,1,6,2,30,1,6,1,28,1,6,1,30,6,6,1,29,1,6,1,28,1,29,1,28,2,30,1,6,1,28,2,30,1,28,1,6,1,30,1,6,1,30,2,28,1,29,1,30,1,6,1,28,1,6,1,30,4,29,1,30,1,28,1,30,5,28,2,30,1,28,1,30,3,28,4,30,1,28,1,29,1,30,2,28,4,30,5,28,2,30,3,28,1,30,1,28,1,30,3,29,1,28,1,30,3,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,6,1,30,7,6,2,13,1,30,1,6,1,30,1,6,1,30,1,6,5,29,1,30,1,6,1,29,1,6,1,29,2,6,2,7,1,13,3,8,1,13,2,29,2,28,1,30,2,6,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,5,28,1,30,1,28,1,7,2,24,1,8,1,13,1,29,1,28,1,30,1,28,4,29,1,28,1,30,1,7,1,12,1,17,5,11,1,17,1,10,1,12,1,9,2,12,1,9,2,10,1,9,1,8,1,9,1,8,1,9,1,8,3,13,1,9,1,10,1,9,1,13,1,6,1,29,2,7,1,6,1,30,2,6,1,30,2,6,1,28,2,30,4,28,1,7,1,13,1,8,1,13,1,8,2,13,2,6,1,13,2,6,1,8,1,13,1,7,2,13,2,6,1,13,1,6,1,7,1,6,1,7,1,29,1,13,1,8,1,6,2,29,1,7,1,6,1,13,1,30,1,29,1,30,4,28,1,30,2,28,3,30,3,28,3,30,1,28,7,30,1,28,5,30,2,28,1,30,1,28,3,29,1,30,1,29,1,30,1,6,1,29,2,6,1,13,1,7,1,13,1,7,1,8,2,17,1,12,1,17,2,12,1,9,1,17,1,11,1,10,1,9,1,10,2,9,1,13,1,9,1,8,1,24,1,10,1,8,1,13,1,8,3,7,1,8,1,13,5,7,1,13,1,7,1,13,1,7,1,13,1,7,1,6,1,7,1,6,1,29,1,6,1,13,3,7,1,13,1,8,1,13,2,6,1,8,1,9,1,13,2,10,1,8,1,13,1,8,2,13,1,24,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,8,2,9,1,8,1,9,1,24,1,8,1,24,1,13,1,7,1,13,1,9,1,8,2,9,1,13,1,8,1,10,1,13,1,9,1,24,1,13,1,9,1,13,1,10,1,9,1,10,1,8,2,24,1,12,2,17,2,10,1,9,1,24,1,13,2,24,1,8,2,9,1,24,1,8,2,24,4,8,1,24,1,8,1,25,1,27,1,29,3,28,10,30,2,28,1,29,1,30,1,29,1,30,1,29,1,8,1,24,2,25,1,24,4,25,1,29,2,27,1,30,1,29,2,27,2,26,2,25,1,27,1,25,2,8,1,7,1,13,2,7,1,13,1,8,1,26,1,8,1,24,3,15,1,24,5,8,1,24,2,8,1,13,1,8,1,13,7,9,1,11,1,9,5,10,1,11,1,9,1,13,3,7,1,8,1,7,1,13,2,7,1,6,1,13,1,7,1,13,1,6,1,13,2,6,1,13,2,7,1,13,1,6,1,13,2,6,1,13,2,7,1,8,2,13,5,6,2,13,1,29,1,7,1,6,1,13,2,29,1,6,2,13,1,30,1,6,1,13,1,6,3,29,1,6,1,29,1,6,2,7,1,6,4,29,1,13,1,6,2,8,1,28,1,13,2,6,2,28,1,13,1,29,1,6,2,13,1,30,1,6,1,29,1,6,1,7,1,6,4,13,3,6,3,7,1,6,3,7,1,6,1,13,2,6,1,13,1,7,1,13,1,7,1,13,1,6,1,13,3,6,1,29,1,6,1,30,1,6,1,13,1,6,1,13,1,8,1,13,2,9,1,6,6,7,2,6,2,7,1,6,6,13,1,6,3,30,1,6,1,13,1,7,1,6,5,13,1,6,1,13,1,6,1,13,3,7,1,17,1,30,1,13,2,6,1,30,1,29,1,6,2,30,1,29,1,6,1,30,2,29,1,6,1,7,1,29,4,30,1,6,1,30,1,6,1,29,1,6,4,29,1,6,2,30,2,6,1,29,1,6,1,13,1,29,1,6,1,30,1,29,1,6,1,7,1,30,1,7,1,6,1,29,1,7,1,29,1,30,1,6,1,30,2,6,1,30,2,6,1,28,1,7,1,30,1,6,1,30,1,29,2,6,3,13,1,6,3,7,1,29,1,7,1,6,2,13,1,6,2,29,1,6,3,13,1,7,1,13,1,30,1,7,1,6,1,29,1,6,3,29,1,6,4,30,1,6,1,29,1,6,1,29,1,30,1,7,1,30,2,6,4,29,2,30,2,6,2,29,1,6,1,29,1,6,2,30,2,29,1,6,1,7,1,30,1,6,2,29,1,6,2,13,1,8,1,13,1,7,1,13,2,7,2,6,5,13,1,6,2,7,1,29,1,6,1,30,1,6,1,28,1,6,1,7,1,13,1,6,3,30,1,6,3,30,1,6,2,13,1,6,1,13,5,6,1,13,1,7,1,13,1,7,2,13,2,6,2,30,1,6,5,29,1,6,1,29,1,6,1,30,1,6,8,29,1,6,3,30,1,6,4,13,1,30,1,6,1,13,1,7,3,6,3,30,2,6,1,29,1,6,1,7,1,29,1,30,1,6,1,30,1,29,1,30,1,6,1,29,1,30,1,6,1,30,2,6,2,29,1,6,1,29,1,6,1,29,1,6,1,30,2,6,1,30,1,7,1,13,1,6,4,30,1,6,2,13,1,30,1,29,2,30,1,6,1,13,1,28,1,17,2,28,1,6,1,30,2,29,1,30,1,29,3,6,4,13,1,6,2,29,1,6,6,30,1,13,1,30,1,6,1,13,1,6,1,13,1,30,1,6,4,30,1,6,3,28,1,30,1,6,1,29,2,13,2,7,1,29,1,6,2,7,1,6,2,9,2,6,3,30,1,7,1,6,1,7,1,29,1,6,1,13,1,7,3,13,1,6,1,13,3,8,1,7,1,13,3,6,1,13,1,6,1,13,1,6,1,7,1,13,1,6,2,13,1,6,1,8,1,6,1,13,1,6,1,13,1,6,2,7,1,29,2,13,1,6,3,30,1,29,1,6,4,9,1,13,1,6,1,8,1,16,1,30,1,6,2,7,1,6,7,29,1,6,3,30,2,6,1,28,1,6,2,29,1,30,1,6,1,29,1,6,2,30,2,6,1,30,3,6,13,29,1,30,1,6,2,29,1,6,1,30,2,29,1,6,1,30,3,28,1,30,1,7,1,6,2,30,2,29,1,28,1,6,1,29,2,30,3,29,1,6,1,30,1,6,2,30,3,6,2,30,3,6,1,30,1,29,1,30,4,6,1,29,1,30,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,29,1,6,2,30,2,7,1,29,1,13,1,6,2,29,1,6,2,13,2,29,1,6,1,30,3,6,1,30,2,6,1,30,2,6,1,13,1,6,1,30,1,6,1,30,2,29,1,6,1,30,2,28,1,30,1,6,3,29,1,30,1,6,2,13,2,6,1,29,2,13,1,7,1,6,3,7,1,6,3,7,1,30,1,6,1,13,1,6,1,9,1,7,1,6,4,29,1,6,1,7,1,6,1,30,1,29,2,7,1,28,1,6,1,29,1,6,2,28,1,13,1,6,1,7,1,28,1,29,1,6,1,29,2,6,6,13,1,8,1,13,1,28,1,6,1,28,1,29,1,30,1,7,1,6,2,30,1,6,2,7,1,29,1,28,1,29,1,30,1,29,1,30,2,6,1,13,1,6,1,29,1,6,1,30,1,29,2,6,1,30,1,6,1,30,2,6,4,29,1,6,3,29,1,6,1,30,2,29,1,6,5,13,1,24,1,13,1,30,1,28,2,30,1,28,14,30,1,13,10,9,1,13,1,10,1,13,1,8,1,9,1,13,1,8,1,9,3,8,1,9,1,13,1,9,2,13,1,9,1,11,1,9,1,11,2,17,7,11,4,9,1,11,3,10,1,9,1,17,1,11,1,10,1,17,1,9,1,10,1,11,1,10,1,17,1,11,1,17,2,11,1,17,4,12,1,17,3,11,1,17,2,11,1,9,1,11,2,8,1,6,2,30,4,28,3,30,2,28,1,30,1,28,1,30,1,28,2,6,2,30,1,7,1,6,1,30,1,6,1,30,2,28,1,30,1,29,2,6,1,29,1,30,1,6,1,28,1,29,1,30,1,28,1,6,1,30,3,6,1,28,1,30,3,6,1,29,1,30,2,6,1,29,1,7,1,6,2,30,2,6,1,7,1,6,2,7,1,13,2,6,2,7,1,6,5,13,2,7,1,13,8,8,1,13,1,9,1,8,1,13,1,10,1,9,1,13,1,9,5,13,1,9,1,6,1,28,17,6,1,28,1,30,1,28,30,30,1,28,4,30,4,6,1,30,1,6,1,28,1,6,2,28,1,6,2,7,1,30,1,13,1,29,1,30,1,13,1,30,1,6,4,29,1,6,1,29,1,30,1,6,2,28,1,30,2,6,2,30,1,29,2,7,1,6,3,30,1,6,2,7,1,30,1,13,1,30,1,6,2,30,1,13,1,7,1,29,1,6,1,11,1,13,2,8,1,13,3,9,1,13,1,8,3,9,1,10,1,8,1,9,1,11,1,9,1,11,2,17,10,16,1,11,1,9,1,13,2,8,1,13,1,30,1,6,1,28,29,30,1,28,2,30,1,28,3,30,1,28,1,6,1,29,1,13,1,30,1,6,1,13,1,8,1,7,1,13,1,7,1,13,1,8,1,24,1,9,1,8,2,11,2,10,1,8,1,9,1,13,1,9,2,17,1,13,1,28,2,30,1,28,1,29,1,6,1,28,8,30,1,28,7,30,1,6,1,30,1,28,4,30,1,28,4,30,1,28,15,30,1,28,2,13,1,9,1,16,1,8,1,9,1,8,1,30,1,13,2,7,1,6,2,30,2,28,1,30,1,28,14,30,1,28,21,30,1,28,8,30,1,28,1,30,1,28,5,30,1,28,2,30,2,28,9,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,3,30,2,28,2,30,1,28,12,6,2,13,2,9,2,8,1,6,1,30,1,7,1,30,1,13,1,7,1,13,1,11,1,17,1,9,1,29,1,30,2,28,42,13,2,6,3,7,1,13,1,9,2,11,1,17,2,11,1,16,1,10,1,6,1,28,16,29,1,14,1,10,1,9,1,11,1,7,1,6,3,29,1,28,8,30,2,28,1,30,3,29,1,8,1,12,1,17,1,16,1,17,3,9,1,30,1,28,5,6,1,8,2,6,2,28,40,6,1,13,1,6,1,28,3,11,1,17,2,10,1,6,1,13,2,6,1,13,2,28,1,17,1,10,1,17,2,28,6,7,1,24,1,28,12,29,1,30,1,28,5,}, {17,3,16,1,17,1,9,1,13,1,7,2,6,1,30,3,28,1,29,1,17,1,13,1,28,47,29,1,28,2,7,1,6,1,13,1,8,1,17,2,8,1,13,2,7,1,29,1,17,1,9,1,17,1,13,1,8,1,13,1,8,1,7,1,6,1,13,1,6,1,17,6,12,2,9,1,6,3,28,1,13,1,9,2,29,1,6,1,7,1,29,1,13,2,17,4,16,1,10,1,17,1,11,1,9,2,10,1,17,5,10,1,6,2,13,1,29,1,6,1,24,1,13,1,24,1,28,34,30,1,28,1,6,1,9,4,12,1,10,1,13,1,6,1,28,1,6,1,29,1,28,1,11,1,17,3,11,1,16,2,11,2,12,1,9,1,13,1,8,1,30,1,7,1,28,1,6,1,13,1,6,1,7,1,29,1,7,1,13,1,24,1,13,1,9,1,8,1,9,1,12,1,11,1,17,2,13,1,28,15,13,1,30,1,7,1,6,1,30,1,7,2,6,4,29,1,30,4,28,1,30,1,28,2,30,1,28,1,30,1,6,1,28,1,6,2,29,2,6,8,29,1,30,1,28,1,30,1,6,1,30,1,28,1,30,3,28,1,30,2,6,1,30,1,6,1,30,2,29,1,30,1,28,1,30,4,29,1,30,3,6,1,29,1,30,1,6,1,30,5,28,1,30,2,29,1,30,2,28,1,30,6,28,2,30,2,28,1,30,2,28,4,30,3,28,1,30,3,28,1,30,3,6,1,30,1,6,1,30,4,6,1,30,1,6,1,30,2,28,1,30,1,6,2,28,1,6,1,30,1,6,1,30,7,6,1,30,2,28,1,6,2,29,1,30,5,6,1,30,1,29,1,7,1,6,1,29,1,6,2,7,1,29,1,6,1,13,2,8,1,13,1,8,1,13,3,30,1,28,1,30,3,28,2,6,1,30,3,28,1,30,2,29,1,30,1,29,1,6,1,30,2,29,1,6,2,30,1,6,1,29,1,30,2,6,1,30,2,6,1,17,1,24,1,8,1,6,1,30,1,28,3,30,1,28,5,8,1,17,5,10,1,11,1,9,1,11,1,10,1,11,1,8,1,9,2,24,1,8,1,9,3,8,2,7,1,8,1,13,2,24,1,13,4,6,1,30,1,6,1,7,1,30,1,7,1,28,1,30,5,28,1,6,1,30,1,7,2,13,1,9,1,8,3,7,2,13,1,6,1,8,1,13,1,7,1,13,1,7,1,13,1,6,1,7,1,30,1,6,1,7,1,30,1,13,1,6,1,7,2,13,1,7,2,6,1,30,1,6,1,29,1,30,6,28,3,30,3,28,1,30,1,28,2,30,1,28,12,30,1,28,5,30,8,6,1,29,1,6,2,13,1,7,1,13,3,8,1,17,1,12,1,17,1,10,1,12,2,11,4,17,1,9,1,24,1,8,1,9,1,24,1,10,1,9,1,8,1,9,1,8,1,13,2,7,1,8,1,13,2,7,1,13,1,6,1,13,5,8,1,6,1,7,1,6,1,7,1,13,4,6,1,13,1,7,2,13,1,8,1,13,1,8,1,13,1,8,1,13,3,9,1,24,1,13,4,8,1,9,2,8,2,13,1,9,1,13,1,9,1,8,2,9,2,24,1,8,1,24,1,9,1,13,1,9,2,8,1,13,1,8,1,9,2,8,1,24,1,9,3,8,1,24,2,13,1,8,1,17,1,12,1,17,2,10,1,8,1,13,1,7,1,24,1,8,1,24,2,10,1,24,4,15,1,12,1,24,5,25,2,27,2,29,1,30,1,28,10,30,2,28,1,27,1,30,1,29,1,27,1,26,1,24,6,8,1,27,1,25,1,27,1,29,1,25,1,27,4,25,2,27,1,25,2,27,1,25,3,29,1,6,2,7,1,8,1,24,5,8,1,25,1,24,6,13,2,6,3,13,1,6,2,7,1,13,2,9,1,11,1,9,1,8,1,10,1,9,3,8,1,13,1,8,1,13,2,6,1,7,1,13,1,7,1,13,1,6,1,13,2,6,1,13,1,6,2,13,1,7,2,13,3,6,6,13,3,6,1,7,1,13,2,29,1,13,2,6,1,13,1,6,1,7,2,13,1,6,4,7,1,13,2,6,2,7,1,6,1,29,1,6,1,7,1,30,1,6,2,29,1,7,1,29,2,6,1,29,1,6,2,28,1,13,1,6,2,13,1,6,1,29,1,13,3,29,1,7,1,13,1,7,5,13,1,6,1,13,1,6,2,13,2,6,4,13,3,6,2,30,1,13,1,6,1,7,1,6,2,7,1,6,1,7,2,13,1,9,1,12,1,6,1,13,1,6,1,7,1,6,4,9,1,6,1,13,1,6,1,7,1,29,1,6,3,13,1,6,2,29,2,6,1,7,3,6,2,7,1,13,2,6,1,7,1,13,1,6,1,7,1,13,2,6,2,13,1,6,1,13,1,6,1,13,3,17,1,30,1,9,1,6,2,29,1,6,2,29,1,6,1,29,2,30,1,6,4,30,1,6,3,29,1,6,1,29,1,13,1,6,3,29,2,6,1,13,1,6,6,29,1,6,2,30,1,29,1,7,3,6,2,29,2,6,1,30,1,29,2,30,2,29,3,6,3,29,1,30,1,6,1,28,1,29,2,28,1,30,1,6,5,29,1,6,2,29,2,6,9,29,1,28,1,6,2,29,1,6,2,29,1,6,1,30,2,29,1,30,3,29,1,30,1,6,1,29,1,6,3,13,1,30,1,13,1,6,3,29,1,30,3,6,3,29,1,30,1,29,1,6,1,7,1,29,1,30,1,6,1,29,1,13,1,30,1,6,2,13,2,6,1,8,1,7,1,6,2,29,1,7,1,6,5,7,1,6,2,29,1,13,1,6,3,13,1,6,3,30,1,6,1,30,1,13,1,28,1,6,1,7,2,6,1,13,2,6,1,13,5,6,2,7,2,6,1,30,1,6,3,13,1,30,1,28,1,29,1,30,2,13,1,6,1,13,1,6,1,30,1,13,2,29,1,6,1,7,1,13,1,6,5,7,1,6,5,13,2,6,1,13,1,30,1,6,1,13,1,29,2,6,1,30,1,6,1,13,1,28,1,6,3,29,2,30,1,6,1,7,1,28,1,29,4,30,1,6,6,30,1,29,1,6,1,30,1,29,1,6,1,13,1,29,2,6,1,30,1,6,1,13,1,30,1,6,1,30,1,6,2,30,2,28,1,17,1,16,1,28,1,6,1,30,1,29,1,30,1,6,2,30,1,6,1,30,3,29,1,6,2,13,1,6,4,29,1,7,1,6,3,13,1,30,1,7,1,6,4,7,1,6,3,29,1,6,2,29,1,30,2,13,1,7,1,6,1,29,1,6,5,29,1,6,1,29,1,6,1,13,1,6,3,30,1,6,1,13,1,6,3,7,1,6,5,7,1,6,2,13,3,6,1,13,3,7,1,6,3,29,1,13,2,6,1,7,1,13,2,6,1,13,2,6,1,29,1,6,7,7,1,6,2,13,2,8,1,6,2,17,1,13,1,7,1,6,4,29,1,6,1,13,1,6,5,30,1,6,2,30,2,29,1,28,1,6,2,7,1,30,1,6,1,30,1,28,1,30,1,29,1,6,2,30,4,6,1,28,1,13,1,30,1,6,3,30,1,6,1,30,1,13,1,29,1,30,2,28,1,6,1,29,1,30,2,29,1,6,1,30,1,29,1,30,2,6,1,30,2,6,1,30,3,29,1,28,1,29,2,6,4,29,1,30,4,6,2,30,1,29,2,30,1,29,1,30,3,6,1,30,2,6,1,30,1,7,1,30,1,6,1,28,1,6,1,30,2,6,1,30,1,29,1,28,1,29,1,6,1,29,1,6,2,29,1,6,2,7,1,30,2,29,1,30,1,6,2,7,1,30,1,7,1,13,1,6,1,29,2,6,1,28,1,6,1,30,2,6,1,30,2,6,2,30,1,29,1,6,2,30,1,6,5,13,1,7,1,30,1,6,3,7,1,29,1,30,1,6,1,13,1,6,2,13,3,8,1,13,2,6,2,8,1,6,6,30,1,29,1,6,2,13,1,30,1,6,3,29,1,6,3,13,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,29,1,6,2,30,1,6,1,16,1,13,1,7,1,6,2,7,1,13,1,6,1,13,1,6,3,30,3,29,1,7,1,6,1,29,1,30,1,28,2,8,1,6,1,28,1,29,1,6,2,7,1,13,1,30,1,6,3,28,1,6,2,30,1,28,1,29,1,6,2,13,1,28,1,29,1,30,1,13,1,6,3,30,1,13,1,6,2,13,1,7,1,29,2,28,1,30,1,28,15,13,1,6,1,13,2,8,1,13,3,8,1,13,2,8,3,13,1,8,1,13,2,10,1,11,1,9,1,10,1,13,1,8,1,9,2,13,1,9,2,11,1,9,2,17,8,11,1,17,2,11,1,9,1,11,2,10,1,8,1,9,1,10,1,11,1,17,1,16,1,11,1,9,1,11,3,17,11,12,1,17,2,11,2,10,1,11,2,8,1,6,1,30,1,28,1,30,4,28,4,30,4,6,1,30,1,7,1,6,1,13,1,6,1,30,3,6,1,29,1,6,1,30,1,28,1,6,1,28,1,6,1,28,1,30,5,6,2,30,4,6,2,30,2,6,1,30,1,6,1,30,3,6,1,28,1,6,4,13,1,6,2,29,1,7,1,30,1,13,1,30,1,6,1,7,1,13,2,6,1,7,1,13,3,8,1,13,1,6,1,13,10,8,1,9,1,8,1,9,3,8,1,9,1,8,1,6,1,28,16,30,1,28,3,30,1,28,28,30,1,28,4,30,1,29,1,28,1,30,1,6,1,13,1,30,1,6,2,30,2,6,1,30,1,6,2,13,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,7,1,30,2,13,1,30,2,29,1,30,4,6,1,30,2,29,1,30,1,6,1,7,1,6,2,30,3,6,3,7,1,6,1,13,1,6,1,13,1,11,1,13,3,8,1,24,1,8,2,9,1,8,1,9,1,24,1,9,4,17,1,12,1,9,1,17,10,11,1,17,1,9,1,13,3,6,2,29,2,30,5,28,25,30,1,28,4,30,1,28,1,30,1,29,1,6,3,7,1,30,1,13,1,6,1,13,1,8,1,13,1,24,3,8,2,10,2,9,2,13,1,9,1,11,1,9,1,11,1,13,1,6,1,28,2,6,1,29,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,5,13,1,28,3,30,1,28,3,30,1,28,5,30,2,28,1,30,1,28,3,30,1,28,3,30,2,28,3,13,2,11,1,9,1,13,1,6,1,29,1,13,2,29,1,30,1,29,1,30,1,28,17,30,1,28,24,30,1,28,5,30,1,28,5,30,1,28,21,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,17,29,1,30,2,28,8,30,1,11,1,16,1,9,1,30,1,28,1,30,1,28,41,13,2,6,4,29,1,13,1,8,1,9,1,17,4,11,1,6,1,28,16,9,1,17,2,10,1,13,1,6,2,13,1,7,1,6,1,28,8,30,2,28,3,6,1,13,1,9,1,10,1,17,5,9,1,30,2,28,2,6,1,28,1,13,3,28,42,13,1,30,1,29,1,30,1,28,1,30,1,9,1,17,1,16,1,11,1,6,1,13,1,7,1,13,1,6,1,13,2,16,1,17,2,10,1,28,6,30,1,8,1,30,1,28,12,30,1,6,1,30,2,28,2,}, {17,3,16,1,17,1,9,2,8,1,6,1,30,3,28,2,7,1,17,1,6,1,28,49,29,1,28,1,29,2,10,2,12,1,13,1,6,2,7,1,6,1,8,1,17,1,9,1,13,2,6,1,7,1,13,1,7,1,13,1,9,1,17,4,16,1,11,1,17,1,12,1,8,1,13,1,30,2,29,1,6,1,13,2,6,1,13,2,29,1,6,1,13,1,24,1,17,2,16,1,17,2,11,2,8,1,9,1,13,1,8,1,11,1,17,3,13,1,28,1,29,1,6,1,8,1,7,1,13,3,30,1,28,34,30,2,13,2,10,1,12,1,17,1,9,1,6,1,13,1,6,1,29,1,30,2,9,1,17,3,11,1,17,1,9,1,10,1,9,1,10,1,8,1,13,2,7,1,30,1,28,1,29,1,8,1,6,1,7,1,13,1,29,1,7,1,24,2,13,1,9,3,11,1,9,1,17,1,8,1,28,14,30,1,7,1,13,1,6,3,7,1,6,4,29,1,30,1,28,2,30,1,29,2,30,1,6,1,29,1,30,1,29,1,28,1,30,1,28,1,6,1,30,2,6,1,30,1,13,1,30,1,29,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,29,1,6,3,30,1,29,1,30,2,28,1,30,2,28,2,30,6,29,1,6,1,30,1,28,1,6,1,30,1,29,1,30,2,6,1,30,5,29,1,28,2,30,2,28,1,30,8,29,1,30,2,28,1,30,5,28,1,30,1,28,2,30,1,28,1,30,4,28,1,30,4,28,1,30,1,6,1,30,1,6,1,30,4,6,2,30,2,29,1,30,2,6,1,30,1,28,1,30,9,6,4,30,4,29,1,30,2,6,1,30,1,6,1,30,1,6,2,29,1,13,2,6,2,13,2,7,1,13,1,8,1,13,1,28,1,30,4,6,1,30,1,28,1,30,4,28,1,30,1,28,1,29,1,30,2,6,2,28,1,6,1,30,2,6,1,28,1,30,1,29,1,28,1,30,3,24,2,13,1,7,1,6,1,30,1,28,4,29,1,30,1,29,1,30,3,11,1,17,5,11,2,10,1,9,1,8,1,10,1,9,2,8,2,9,1,8,1,10,1,13,1,8,1,13,2,10,1,17,1,12,1,13,1,6,2,7,1,30,1,29,1,6,2,7,1,28,1,30,1,28,1,29,1,30,2,29,1,6,1,30,2,6,1,13,1,9,1,8,1,13,2,7,1,13,1,24,1,6,1,7,1,13,1,6,1,13,3,6,2,13,1,7,1,6,1,30,1,6,1,13,2,7,1,6,7,30,1,28,1,6,1,28,1,30,1,28,1,30,4,28,4,30,1,28,4,30,1,28,3,30,1,28,9,30,1,28,5,30,5,6,4,7,1,13,3,10,1,9,1,17,1,11,1,17,2,11,1,17,1,11,1,17,1,10,1,12,1,10,2,9,1,8,1,24,1,9,1,10,1,24,1,8,1,13,1,8,1,9,1,8,6,13,1,24,1,13,4,8,1,13,2,6,1,8,2,6,1,8,2,13,2,7,1,8,1,7,1,8,1,13,4,24,1,13,1,9,1,8,1,13,1,8,2,9,1,8,3,9,2,10,1,9,2,8,1,9,1,8,1,9,1,8,2,10,1,13,2,9,1,11,1,10,1,9,1,13,1,9,2,24,1,8,2,10,1,9,2,10,1,9,1,24,1,10,1,17,1,8,1,10,1,8,1,13,1,8,1,6,2,30,1,13,1,8,3,24,2,12,1,24,2,12,1,24,6,8,1,25,1,27,1,29,1,27,1,30,1,28,10,30,1,28,1,29,5,25,1,24,6,25,3,27,1,29,1,27,1,26,1,29,1,27,1,30,1,26,2,25,3,27,1,25,1,8,2,27,1,25,1,6,1,7,1,8,3,25,1,24,1,15,1,24,4,10,1,24,1,12,1,8,1,7,1,13,1,30,1,8,1,30,1,6,1,30,1,6,1,7,1,6,1,13,2,8,1,9,3,13,1,9,1,8,1,13,3,6,1,13,2,6,2,29,2,6,1,29,2,6,1,7,1,13,1,6,1,7,1,6,4,13,1,6,1,7,1,13,1,7,1,13,2,6,1,13,1,6,1,7,1,13,1,7,1,13,1,6,1,13,1,8,1,7,1,13,1,7,1,13,1,6,1,13,1,6,1,29,1,6,1,30,1,6,1,30,1,13,1,29,1,6,2,29,1,6,1,29,2,6,1,30,1,6,3,29,1,30,1,6,4,13,2,6,2,13,1,6,1,29,1,13,2,30,1,6,2,7,2,6,1,7,1,13,3,6,1,13,1,6,1,13,4,29,1,13,1,6,1,13,1,7,1,13,1,6,1,30,1,7,1,6,1,29,1,7,1,6,1,30,1,7,1,30,1,7,1,6,2,13,1,9,1,12,1,17,1,13,1,7,1,13,3,6,1,8,1,16,1,9,1,13,1,8,1,13,2,6,2,13,1,6,2,7,1,6,1,13,1,6,2,13,1,6,1,7,1,6,3,29,1,6,1,30,2,6,3,13,2,29,1,7,1,13,1,6,1,13,2,9,1,16,1,17,1,8,1,7,1,6,1,29,2,6,2,29,3,30,1,29,3,6,1,30,1,29,1,30,2,6,1,29,1,6,2,30,1,6,2,29,1,6,2,7,2,6,3,30,2,7,1,30,1,6,2,29,1,6,1,29,1,6,2,30,1,6,3,29,1,6,1,30,1,6,1,29,1,6,1,29,2,30,1,6,1,30,1,29,1,30,1,29,2,6,6,30,2,28,3,29,1,6,5,30,1,6,2,30,1,6,2,30,2,29,1,30,2,29,1,6,1,30,1,6,2,30,1,29,2,30,1,28,1,6,2,30,1,6,2,7,1,13,1,6,1,13,1,6,1,13,1,7,1,6,6,7,1,6,3,28,1,6,3,30,1,6,1,28,1,30,1,6,3,29,2,8,1,6,1,13,1,7,1,6,1,7,1,6,4,29,1,6,2,7,1,29,1,6,6,29,1,6,1,30,1,6,1,30,1,6,2,30,1,7,1,30,1,6,1,13,2,6,1,13,1,30,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,7,1,29,1,7,1,6,1,28,1,6,4,29,1,6,2,28,1,29,1,6,1,13,1,8,1,6,1,13,1,29,1,6,1,7,1,13,2,7,1,6,1,29,1,7,1,6,2,13,1,6,7,29,1,6,1,13,1,7,1,30,1,6,4,29,2,28,1,29,3,30,1,13,1,6,1,29,1,28,1,29,1,6,1,30,3,6,3,29,1,30,1,13,1,29,1,6,1,13,1,6,1,7,1,30,1,6,1,29,1,6,6,30,1,6,1,29,1,28,1,13,1,17,1,16,1,13,1,6,1,30,1,6,5,7,1,6,1,30,1,6,2,29,1,6,2,13,2,6,1,13,1,6,1,29,1,6,2,29,2,6,4,29,1,6,1,29,1,6,5,29,1,30,1,7,1,6,1,30,1,28,1,6,3,29,2,6,5,7,1,13,1,29,1,6,1,29,2,6,2,29,1,6,2,13,2,6,2,13,2,6,2,13,1,6,1,13,4,6,1,13,1,6,4,7,1,6,2,13,1,6,5,29,1,6,1,29,1,6,2,30,1,6,1,30,2,29,1,30,1,6,3,13,2,6,1,16,1,11,1,6,2,30,2,6,6,29,1,6,2,30,1,6,1,30,1,6,4,30,1,7,1,30,1,6,2,29,1,6,1,30,2,6,1,30,1,29,1,30,2,6,3,30,1,6,3,29,1,6,2,30,1,28,1,30,1,29,1,6,1,13,1,6,1,30,1,29,1,30,1,28,2,30,1,29,1,28,1,30,2,28,1,29,1,30,3,29,1,30,1,29,1,28,1,30,2,29,2,6,1,29,2,6,2,30,1,6,1,30,1,6,1,29,1,6,3,29,1,30,2,29,1,6,1,30,1,6,1,13,1,6,2,30,1,6,1,30,1,7,1,30,5,29,1,30,1,6,1,7,1,30,1,29,1,6,1,30,1,6,1,28,1,6,1,29,1,30,1,6,1,29,1,6,1,13,1,30,1,6,1,30,1,6,1,29,3,30,1,13,1,29,1,30,4,6,1,29,1,30,1,6,1,29,1,30,2,6,1,13,2,6,2,13,1,29,1,13,1,6,2,29,1,30,1,6,3,13,1,6,3,13,1,7,1,13,2,6,3,9,1,30,1,6,5,29,2,7,1,6,2,7,1,6,1,7,1,6,3,29,1,13,2,6,2,28,1,6,1,29,2,6,3,29,1,6,1,29,1,13,1,9,1,29,1,6,2,13,1,6,1,30,1,13,1,29,1,6,1,30,1,29,1,6,1,30,2,28,1,30,1,6,1,13,3,6,1,13,1,29,2,6,1,30,1,6,1,13,1,6,1,13,1,6,3,30,1,6,1,30,2,6,1,30,1,29,1,6,3,30,1,6,1,30,1,6,3,13,1,6,1,30,2,6,1,13,1,6,1,29,1,28,1,30,2,28,15,13,4,8,1,13,4,9,1,8,1,13,2,9,1,8,1,13,2,9,2,11,1,9,3,11,1,9,1,11,1,8,1,9,1,11,1,9,2,11,1,17,7,11,2,9,1,11,2,9,2,11,1,10,1,11,1,9,1,11,3,16,1,9,1,11,3,17,4,11,1,17,4,11,1,17,1,11,1,17,1,12,1,9,1,11,1,9,1,11,1,10,1,11,1,6,1,30,1,6,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,13,1,29,1,30,1,6,1,30,1,6,2,29,1,30,3,6,1,28,1,6,1,30,1,29,1,28,1,6,2,30,2,29,1,30,1,6,1,30,1,29,2,30,1,29,2,28,1,7,1,6,3,30,2,6,1,29,1,30,1,6,1,30,1,13,1,6,2,7,1,6,1,13,1,29,1,13,1,6,1,30,1,13,1,6,1,13,3,6,1,13,1,30,1,6,2,7,1,6,1,13,2,6,1,13,2,6,1,13,3,8,1,13,2,8,2,13,1,7,1,8,2,9,2,8,1,10,1,13,1,30,1,28,13,30,1,28,32,30,1,28,4,30,2,13,1,6,2,30,2,6,1,7,1,6,2,29,1,6,1,30,1,6,1,7,1,6,2,30,1,13,1,6,1,29,1,30,2,6,1,29,1,28,1,29,3,30,1,29,1,30,2,29,1,30,2,28,1,30,2,6,1,30,3,6,2,29,1,6,3,29,1,6,2,13,4,10,1,13,1,8,3,9,1,13,1,8,1,10,1,9,2,12,1,10,2,17,2,12,1,17,12,9,1,8,1,13,3,6,2,29,1,28,2,30,1,28,2,30,1,28,33,30,2,29,1,13,1,7,1,6,1,29,1,6,1,13,1,7,1,24,1,8,2,13,1,8,1,24,1,8,1,24,1,10,1,6,1,9,4,11,1,17,1,13,1,28,2,6,2,28,3,30,1,28,14,30,1,13,1,28,2,30,1,28,19,30,1,28,1,30,1,28,2,6,1,28,1,9,1,10,1,9,2,13,1,7,1,13,2,29,1,6,1,30,2,28,18,30,1,28,6,30,1,28,2,30,2,28,19,30,1,28,5,30,2,6,1,28,5,30,1,28,3,30,1,28,2,30,3,28,6,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,11,30,1,28,9,30,2,13,1,11,1,8,1,28,25,30,2,28,15,30,1,13,1,6,4,30,1,6,2,13,2,9,1,12,1,16,1,17,1,10,1,7,1,28,16,13,1,14,1,16,1,9,1,13,3,29,1,6,1,13,1,28,6,30,1,28,2,29,1,28,1,29,1,28,1,6,2,9,1,16,1,17,1,12,1,17,3,9,1,6,2,28,4,8,1,9,2,28,42,13,1,6,1,29,1,30,1,28,2,8,1,17,2,11,1,13,4,6,1,13,2,11,1,16,1,17,1,11,1,28,6,6,1,13,1,28,13,30,1,28,1,30,1,28,3,}, {17,1,16,4,9,1,11,1,8,1,7,1,6,1,29,1,6,1,28,2,13,1,8,1,24,1,28,25,30,1,28,23,30,1,7,1,30,2,9,2,10,1,13,1,6,1,30,1,6,1,7,1,9,1,16,1,10,1,29,1,8,1,29,1,6,1,13,1,6,2,8,1,17,1,16,1,17,4,11,2,8,1,13,1,30,3,13,2,9,1,7,1,29,1,13,1,30,1,29,1,13,1,17,4,11,1,16,1,10,1,9,2,8,1,9,1,12,1,11,1,17,3,13,1,29,1,30,1,13,1,8,2,24,1,8,1,6,1,30,1,28,34,30,2,9,1,13,1,9,1,11,1,16,1,9,1,13,1,6,3,29,1,28,1,9,1,17,6,16,1,11,1,9,1,13,1,8,1,13,1,8,1,7,1,6,2,30,1,13,1,8,1,13,1,7,1,13,3,9,4,17,1,16,1,17,1,11,1,28,15,9,1,13,1,6,1,30,1,6,5,13,1,30,1,6,1,30,3,29,1,30,1,28,1,30,2,28,2,30,3,6,1,28,1,6,2,30,2,28,1,30,1,28,1,29,2,6,3,30,1,6,2,30,2,28,2,30,8,28,1,30,3,28,1,30,2,29,1,30,2,29,1,6,1,30,1,29,1,30,1,28,1,30,1,6,1,30,1,28,1,30,4,28,2,30,3,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,1,30,2,28,3,30,2,29,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,28,1,6,1,30,1,28,1,30,2,6,1,30,1,6,2,30,1,28,2,6,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,6,1,30,2,29,1,30,2,6,2,13,1,6,1,30,2,6,1,28,1,6,2,30,4,29,2,6,4,29,1,13,1,8,1,13,3,8,2,6,1,29,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,29,1,30,1,6,2,29,1,30,1,6,2,30,3,6,1,30,1,6,2,30,2,24,1,17,1,8,1,7,1,6,1,28,2,30,2,28,1,30,1,29,1,30,4,6,1,12,1,17,4,12,2,11,1,9,8,8,1,10,1,8,1,9,1,13,1,7,1,9,1,17,1,13,1,6,1,13,1,6,1,7,1,30,1,6,2,29,1,6,2,28,1,30,1,6,1,28,1,30,2,28,1,6,2,13,4,6,1,13,1,6,2,7,1,13,4,6,1,30,1,7,1,6,2,30,1,7,1,6,1,7,1,13,2,6,6,29,1,6,1,29,2,30,9,28,1,30,1,28,6,30,1,28,8,30,1,28,2,30,1,28,3,30,1,28,2,30,6,6,2,30,2,13,4,8,1,13,1,17,1,11,2,17,1,11,1,10,1,12,1,17,2,12,1,10,1,11,1,9,1,12,1,24,1,9,2,10,2,9,1,24,1,8,2,24,1,13,1,10,1,13,2,24,1,8,2,13,2,8,1,13,1,8,2,13,1,8,1,13,4,8,2,13,1,7,1,13,2,7,1,8,3,24,2,8,2,9,1,13,1,24,1,8,1,9,1,13,1,10,1,24,2,9,1,10,2,9,4,8,1,10,1,13,1,9,1,8,2,17,1,10,1,24,1,9,1,12,1,9,1,12,1,10,2,12,2,11,1,24,1,12,1,24,1,12,1,13,1,6,1,29,1,8,1,10,1,13,1,8,1,6,1,8,4,25,1,24,9,12,1,24,3,8,1,27,1,29,2,30,1,28,9,30,1,28,1,29,3,27,2,30,1,26,1,8,1,24,4,25,1,24,1,25,2,26,1,25,1,26,2,27,4,25,1,27,1,26,1,25,1,8,1,25,1,26,1,8,1,25,1,24,1,8,1,24,2,25,2,24,6,8,1,24,2,13,1,6,1,13,1,6,6,7,1,6,2,13,1,6,1,9,2,10,1,11,1,8,1,13,1,8,1,9,1,8,1,7,1,13,4,6,1,13,1,6,2,30,1,6,1,13,1,6,1,30,1,6,1,29,1,6,1,7,1,6,3,29,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,13,1,6,1,13,1,7,1,13,3,6,1,13,2,6,1,13,1,29,1,6,4,30,1,6,3,30,4,6,1,30,1,29,1,30,1,6,1,29,1,6,6,29,2,6,9,7,1,6,3,29,1,6,4,7,1,6,1,7,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,3,6,4,30,1,6,1,30,1,6,2,13,1,6,2,29,2,8,2,11,1,9,1,8,1,6,1,9,1,13,3,9,1,6,2,13,7,7,1,13,2,6,2,29,1,6,1,29,3,6,4,13,1,30,1,29,1,6,1,28,1,6,2,13,2,7,1,6,1,13,3,8,1,12,1,17,2,13,1,30,1,29,1,13,1,6,3,29,1,6,2,29,1,6,2,29,1,6,1,29,1,6,1,29,1,30,1,29,1,30,2,6,1,30,1,29,1,6,2,29,1,6,2,29,1,7,1,6,4,29,1,13,1,6,3,29,1,6,2,28,1,6,3,30,3,29,1,28,1,30,2,6,2,30,2,6,1,30,1,29,1,30,5,6,4,29,1,6,1,29,1,30,1,29,1,6,1,28,1,30,1,6,1,29,1,6,2,30,1,6,1,29,1,30,1,6,2,30,1,6,1,29,1,6,2,30,1,6,1,30,5,29,1,6,1,30,2,13,3,7,1,13,2,6,1,13,1,7,1,13,2,30,1,13,2,6,1,7,1,13,1,6,1,13,2,30,1,29,1,30,1,6,1,28,1,6,1,7,1,6,1,13,1,7,1,6,2,30,1,13,1,30,1,6,1,7,1,6,1,13,1,6,4,29,1,6,1,29,2,30,1,6,2,30,1,29,1,6,1,30,1,6,3,29,1,7,1,28,1,6,1,30,1,6,3,7,1,29,1,30,1,13,1,6,2,7,1,6,3,7,1,6,2,13,1,7,1,6,1,7,1,13,1,6,2,7,1,6,1,28,1,7,1,6,1,7,1,13,1,6,1,7,1,6,1,7,1,13,1,29,1,6,1,13,1,30,1,7,1,13,1,6,1,13,1,7,1,13,1,6,4,29,1,7,1,6,2,30,1,6,1,7,1,6,1,29,1,6,1,30,1,6,4,29,2,30,2,6,1,13,1,30,1,6,1,30,1,6,1,30,2,6,1,30,2,29,1,13,1,6,5,7,1,13,1,29,1,6,6,29,1,30,1,6,1,30,2,28,1,6,1,17,1,16,1,30,1,6,1,30,2,6,1,29,1,6,1,29,1,30,1,6,1,29,2,30,1,6,2,30,1,6,2,7,1,6,1,29,1,6,5,30,1,6,1,30,1,6,6,7,1,30,1,6,1,29,1,6,2,13,1,28,1,30,1,6,1,29,1,30,1,6,1,30,1,29,1,6,1,29,2,6,2,7,1,6,1,13,1,6,5,30,1,29,1,30,1,13,1,6,1,29,1,13,1,6,3,30,1,13,1,30,1,6,2,13,2,6,3,13,1,7,1,6,2,30,2,13,1,7,1,6,1,30,1,6,2,7,1,6,3,30,1,6,1,30,1,6,2,30,1,6,2,7,1,30,1,6,2,13,1,17,1,13,1,6,1,30,3,29,1,6,1,29,2,30,1,6,2,30,3,13,1,30,2,6,1,30,3,6,1,29,1,6,2,13,1,6,2,30,2,29,1,30,2,6,1,30,1,29,3,6,2,30,1,6,2,30,1,13,1,6,1,29,1,6,1,30,3,6,2,30,1,6,1,30,11,28,1,30,1,28,2,30,3,29,1,28,1,6,1,29,1,30,1,29,1,30,2,29,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,30,1,29,1,30,1,6,2,29,1,30,1,6,1,30,1,28,1,6,1,30,2,6,1,28,1,6,1,29,4,28,2,30,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,28,1,30,1,6,1,30,1,29,1,6,1,30,1,6,3,30,2,6,1,30,2,6,5,29,2,30,1,6,1,30,1,6,3,13,1,6,1,13,1,29,1,6,4,7,1,6,3,13,1,7,2,13,2,6,1,13,1,6,1,13,2,6,2,29,1,6,4,13,1,29,1,6,2,29,1,6,1,29,1,30,1,6,2,7,1,8,1,6,1,30,1,6,2,30,1,6,1,29,3,30,1,6,1,29,1,9,1,6,2,13,1,29,4,6,1,30,1,6,1,29,2,30,1,6,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,13,1,6,7,30,1,13,1,6,2,30,2,29,1,30,1,29,2,30,1,29,1,30,1,29,1,13,1,6,4,30,1,6,2,7,1,29,1,6,2,7,2,6,1,30,2,29,1,28,14,30,1,6,1,7,1,13,8,8,4,9,2,8,1,10,1,9,1,11,1,9,5,10,2,9,3,11,2,17,9,9,1,17,1,16,1,11,1,16,1,11,2,16,1,9,1,11,1,12,1,11,1,17,1,10,1,9,2,11,1,17,1,16,1,17,2,11,1,9,1,16,1,17,1,12,1,17,1,11,2,17,1,11,1,10,1,11,1,9,2,11,2,9,1,13,1,30,3,28,1,30,2,28,4,6,2,30,3,29,1,28,1,6,2,30,1,6,2,29,1,28,1,30,1,28,1,30,2,29,1,30,1,6,1,28,1,30,8,6,1,30,2,29,1,30,1,29,1,6,1,30,1,6,1,30,1,6,5,30,2,7,1,6,2,7,1,6,1,7,1,6,1,30,1,6,1,13,1,6,1,30,1,6,2,30,2,6,2,7,1,6,1,13,1,30,1,13,1,30,1,6,1,13,1,29,1,7,1,13,1,6,1,13,3,8,4,13,2,9,4,13,1,28,24,30,1,28,18,30,1,6,1,28,4,29,1,30,1,6,2,13,1,6,2,13,1,7,1,6,1,7,1,6,4,29,1,6,4,28,2,30,1,6,1,28,1,29,1,6,2,29,1,6,1,30,2,6,2,29,1,30,2,29,1,28,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,6,2,29,2,6,1,13,1,7,3,13,1,9,1,13,1,8,1,24,1,13,1,9,1,8,1,9,1,8,1,9,2,10,1,9,1,10,1,17,1,12,1,17,12,10,1,9,2,13,4,8,1,6,1,30,2,28,33,30,2,6,1,29,1,28,1,30,3,13,1,6,4,7,1,6,1,8,1,24,1,8,1,13,1,8,3,13,2,9,1,8,2,13,2,9,2,17,1,8,1,7,1,30,1,6,1,30,1,28,11,30,1,28,6,30,1,13,1,28,4,30,1,28,2,30,1,28,4,30,1,28,11,30,3,28,2,13,1,11,1,9,2,13,3,30,1,6,1,29,1,30,2,28,2,30,1,28,2,30,1,28,11,30,2,28,27,30,1,28,1,30,2,28,10,30,1,28,9,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,10,30,1,28,1,30,2,28,3,30,1,28,11,30,1,28,11,30,1,13,1,9,1,6,1,30,1,28,5,30,1,28,2,30,1,28,31,30,1,6,1,7,1,30,3,6,1,30,1,29,1,6,2,7,1,9,3,11,1,29,1,28,16,9,1,14,1,17,1,10,1,8,1,13,1,7,1,6,1,13,1,29,1,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,2,13,1,9,2,17,1,16,1,17,3,13,1,6,1,30,1,28,4,13,1,9,1,8,1,28,42,30,1,6,2,28,3,11,1,17,2,9,1,6,1,13,2,6,1,8,2,13,1,11,1,17,2,11,1,28,6,30,1,8,1,7,1,28,8,30,1,28,1,30,1,28,7,}, {17,3,16,1,17,1,11,1,9,2,13,1,30,2,28,3,30,1,17,1,8,1,28,4,30,1,28,2,29,1,6,1,28,39,29,2,6,1,30,1,29,1,13,1,15,1,17,1,6,3,29,1,6,1,8,1,16,1,12,1,13,1,7,1,13,1,6,1,7,1,13,1,7,1,8,1,11,1,12,1,16,1,17,1,11,1,17,2,16,1,8,1,7,1,28,3,6,1,8,1,9,1,6,2,13,1,6,1,29,1,13,1,10,1,17,3,16,1,11,1,16,1,9,2,8,1,9,1,17,1,11,1,17,3,8,1,6,1,7,2,24,1,13,1,24,2,13,1,28,36,13,1,8,1,13,2,10,1,9,1,10,1,13,1,6,1,7,1,28,1,30,1,29,1,9,1,17,7,8,1,9,1,13,2,8,2,13,2,30,1,6,1,8,2,13,2,7,1,9,1,13,1,10,1,9,1,11,1,10,1,12,1,17,2,16,1,28,15,13,2,6,3,7,1,6,3,13,1,7,1,30,4,28,2,30,3,6,2,28,2,29,1,28,1,30,1,29,1,28,2,30,1,29,2,30,4,6,1,29,1,6,4,29,1,6,1,30,3,28,1,30,2,28,1,30,3,28,1,30,6,6,1,30,1,6,2,30,2,6,1,29,1,30,2,29,1,30,2,28,2,30,1,29,1,30,1,28,1,30,3,28,2,30,3,28,1,30,2,29,1,28,2,30,2,28,1,30,6,28,1,30,2,28,3,30,1,28,18,30,1,28,2,6,1,28,1,30,1,28,2,6,2,13,2,28,1,30,1,29,1,28,1,30,1,6,1,30,4,7,1,6,1,30,1,6,1,30,1,6,2,13,1,7,1,6,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,3,28,1,30,1,6,1,28,1,6,2,30,1,6,1,30,3,28,2,30,4,8,1,12,2,13,1,6,1,28,3,30,2,29,2,6,1,30,1,28,1,30,2,6,1,17,4,10,1,11,1,10,1,9,7,8,4,13,2,7,1,8,1,9,1,12,1,13,1,7,1,13,1,29,1,6,4,30,5,28,1,7,1,30,1,6,1,29,1,13,3,6,1,13,1,6,3,7,1,13,1,6,2,13,1,7,2,13,2,29,1,13,1,30,1,8,1,6,2,7,1,29,1,13,1,7,1,8,1,6,1,30,1,29,1,7,1,6,5,30,1,6,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,2,28,8,30,1,28,1,30,3,28,1,30,1,28,3,30,2,6,1,30,2,6,1,29,1,6,1,29,1,13,2,9,1,12,2,9,1,17,1,10,1,12,1,17,1,12,1,17,1,12,1,8,1,17,1,12,1,10,1,9,1,8,1,9,1,24,1,9,1,24,1,9,2,13,2,9,2,7,1,8,1,13,1,8,1,13,2,8,1,13,3,8,6,13,1,8,1,13,2,8,1,9,1,6,1,13,3,8,2,13,4,24,1,8,3,9,1,24,1,13,2,9,1,8,1,11,1,17,1,9,2,10,1,11,1,10,2,13,1,9,1,12,1,9,1,10,1,8,1,9,1,17,1,12,1,11,2,9,1,17,2,9,2,6,2,8,2,7,1,8,3,10,1,24,1,8,2,24,3,8,1,24,2,15,1,24,3,12,1,24,1,15,1,24,4,8,1,29,4,28,11,29,2,30,1,27,1,26,1,29,1,26,1,25,1,24,2,8,1,24,3,25,2,26,1,25,2,27,2,29,1,27,2,26,1,25,1,8,2,25,2,24,1,25,2,8,1,24,3,8,2,25,1,24,2,8,1,24,1,8,2,13,2,8,1,29,1,28,1,30,1,13,1,6,1,13,3,9,1,13,2,7,1,6,1,9,2,8,1,9,1,8,3,9,1,13,1,6,1,13,1,8,1,13,2,6,1,29,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,7,1,6,2,7,1,13,5,8,1,13,1,6,1,7,1,6,2,13,1,6,1,13,1,7,2,6,1,7,1,6,1,13,4,7,1,6,3,13,1,6,2,30,1,6,3,29,1,6,3,30,1,6,1,29,1,6,4,7,2,6,2,7,1,8,1,6,1,7,1,6,1,13,1,6,2,13,1,6,2,7,1,6,1,13,3,6,1,13,1,30,2,13,2,7,1,13,1,6,2,13,1,6,3,13,3,9,1,13,2,6,1,7,2,6,1,13,1,6,1,13,1,6,1,13,1,6,2,7,1,9,1,8,2,6,1,13,4,6,3,7,1,13,3,6,2,13,1,30,1,6,1,13,1,6,3,28,1,30,1,6,1,13,4,6,5,13,1,30,1,7,1,6,1,7,1,13,1,28,1,13,1,7,1,13,3,12,1,17,1,13,1,6,3,30,1,6,3,30,2,29,1,13,1,6,5,28,1,6,2,29,1,7,1,28,1,6,1,13,1,7,1,13,1,30,1,6,3,29,1,30,2,6,1,30,1,29,2,6,1,29,1,30,1,6,2,29,1,6,1,30,1,6,1,30,2,6,2,30,3,6,1,28,1,6,1,30,3,29,1,6,2,30,2,28,1,6,1,29,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,28,1,6,2,28,1,30,2,29,1,6,2,29,1,6,1,28,1,6,1,30,3,28,1,6,2,30,3,29,2,30,1,6,1,7,1,13,1,6,2,7,1,6,1,29,2,13,2,6,1,29,1,13,1,30,1,29,1,30,1,6,1,30,1,6,4,9,1,6,2,7,1,30,2,6,1,29,2,13,1,6,1,29,1,30,1,13,1,30,1,13,1,6,1,29,1,6,3,13,1,30,1,6,1,13,1,6,1,7,1,6,6,29,1,6,2,28,1,6,1,30,1,6,1,29,1,6,2,29,1,6,2,13,1,6,1,13,1,6,3,7,1,6,1,29,1,6,5,13,1,6,3,13,1,6,3,29,1,6,1,29,1,30,1,6,4,30,2,6,1,29,1,6,2,29,2,6,3,7,1,6,2,29,1,6,1,30,1,6,1,13,1,6,2,29,1,6,2,30,1,6,1,30,1,6,1,29,1,30,3,29,1,30,1,29,1,6,2,30,2,28,1,30,1,6,1,30,5,6,1,7,1,6,4,13,1,6,1,29,1,30,1,6,1,7,1,6,1,29,1,30,2,29,1,28,1,6,1,30,1,6,1,10,1,13,2,6,1,30,1,6,1,30,1,29,1,6,1,30,2,29,1,30,3,28,1,6,1,29,1,6,3,7,1,6,2,30,2,6,2,28,1,13,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,30,2,29,1,6,2,30,1,6,2,29,1,30,1,6,1,30,1,6,1,29,2,30,2,6,4,30,1,6,1,7,1,30,1,29,1,6,1,28,1,30,2,29,1,6,4,30,1,6,1,29,1,30,2,6,2,30,1,29,1,30,2,29,2,13,1,7,1,6,1,30,2,13,1,29,1,28,1,29,1,30,1,29,1,30,2,6,1,30,1,29,2,30,1,6,2,29,2,30,1,6,1,30,2,7,1,30,1,17,1,8,1,30,3,29,1,30,1,6,1,30,1,29,1,30,1,6,2,30,1,6,1,30,1,28,1,30,1,29,1,6,1,29,1,6,1,30,2,29,2,6,1,30,1,6,4,29,1,30,3,6,2,30,1,6,4,29,1,6,2,30,1,6,1,28,1,30,1,6,3,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,28,1,30,5,28,1,6,1,30,3,6,1,29,1,6,1,29,1,30,3,6,1,30,2,6,2,28,1,30,1,28,1,6,1,30,2,29,1,6,1,28,2,29,1,30,2,29,1,30,2,6,1,30,2,29,1,6,2,28,1,30,1,29,1,30,1,6,3,30,2,29,1,6,2,30,2,6,2,30,6,29,1,30,2,6,1,13,1,6,1,30,2,29,1,30,1,6,1,30,1,6,1,30,3,6,2,13,1,6,1,29,1,30,1,6,2,7,1,6,1,29,1,7,1,30,1,6,2,29,1,6,3,13,1,6,1,13,2,6,2,30,1,13,1,6,2,30,2,13,2,6,1,30,1,6,2,29,2,6,1,13,1,29,1,13,1,6,8,29,2,30,2,6,2,30,1,29,1,13,1,16,1,28,1,29,2,6,2,29,1,6,1,30,1,29,1,6,2,30,1,7,1,6,1,29,1,30,1,6,1,30,2,6,1,29,1,13,1,6,2,29,1,6,1,30,1,29,1,13,1,6,8,30,1,29,1,30,1,28,1,30,1,29,1,13,2,6,4,30,2,6,3,29,1,7,1,6,1,7,1,29,1,30,1,28,16,6,1,13,9,9,1,13,1,8,1,13,2,8,1,13,1,9,1,8,1,13,1,10,1,9,1,11,1,8,1,9,1,13,1,9,2,8,2,9,1,17,1,11,1,17,8,11,1,17,1,11,2,9,2,10,2,9,2,10,1,12,2,10,3,17,1,11,1,17,1,11,1,17,2,11,1,17,2,11,2,9,1,10,1,17,1,12,2,11,4,10,1,11,1,9,1,6,1,30,5,28,3,30,5,28,2,30,2,29,1,30,3,29,1,30,1,6,1,30,3,28,2,29,1,30,2,28,1,30,1,28,2,30,1,29,1,30,1,6,1,29,2,6,2,30,1,29,1,6,3,30,1,6,1,30,1,6,2,7,1,29,1,7,1,28,1,13,1,6,3,30,2,13,1,30,1,29,1,6,1,30,1,29,1,30,1,6,1,28,1,13,1,30,1,13,1,7,1,13,1,6,1,30,1,6,1,29,1,6,1,30,1,6,2,13,2,6,1,13,6,9,2,13,1,9,2,13,1,28,5,30,1,28,9,30,1,28,1,30,1,28,19,30,1,28,4,7,1,28,2,30,2,6,1,30,2,13,1,30,1,13,3,6,1,7,1,6,2,13,1,28,1,30,1,6,7,7,1,30,2,6,2,28,1,29,1,30,2,6,1,30,1,29,1,30,5,28,1,30,3,6,2,29,1,6,3,7,1,6,1,29,1,13,1,6,2,13,3,9,1,11,1,8,1,9,1,13,2,10,1,9,1,10,1,12,3,17,13,16,1,11,2,8,2,13,2,8,3,6,1,30,1,28,34,30,1,28,6,29,1,6,1,30,1,29,2,6,1,8,2,24,1,8,1,24,1,13,1,8,5,13,5,9,1,12,1,17,1,8,1,6,1,29,1,6,1,30,2,28,2,30,3,28,12,30,2,28,7,30,1,28,9,30,1,28,4,30,6,28,1,8,1,11,1,9,3,7,1,13,2,6,2,30,2,28,1,30,1,28,25,30,1,28,4,30,2,28,18,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,7,30,3,28,10,30,1,28,2,30,3,28,23,30,1,28,7,6,3,28,8,30,1,28,7,30,1,28,23,6,1,13,2,30,1,6,2,30,3,28,1,6,2,13,3,12,1,6,1,28,16,11,1,17,2,9,1,8,1,13,1,6,1,13,2,6,1,28,3,30,2,28,2,30,1,28,2,6,1,28,1,30,1,29,1,6,1,11,1,17,6,13,1,28,6,13,2,8,1,28,42,6,2,30,2,28,2,16,1,17,2,8,1,13,2,7,1,9,1,13,2,9,1,17,1,16,1,17,1,11,1,28,6,7,1,13,1,30,1,28,13,30,1,28,4,}, {17,5,16,1,9,2,13,1,30,2,28,3,29,1,9,1,24,1,28,7,29,2,28,41,6,4,24,1,12,1,6,1,29,1,6,1,9,1,6,1,9,1,11,1,9,1,8,1,7,2,6,1,13,2,7,1,9,2,17,5,16,1,9,2,13,1,30,1,29,1,30,1,29,1,8,1,9,1,13,1,6,1,7,1,28,1,30,1,13,1,12,1,17,5,12,1,17,1,9,2,17,3,16,1,17,2,8,1,29,1,6,1,8,1,13,2,8,1,13,2,28,35,6,2,7,1,9,1,8,1,11,1,16,1,9,1,8,1,6,2,7,1,28,2,9,1,17,3,16,1,17,3,9,2,8,3,13,1,7,1,29,1,6,1,13,1,6,1,13,1,9,1,8,1,13,2,24,1,12,1,8,1,11,1,17,5,28,15,30,1,7,1,6,2,13,1,30,1,13,1,6,2,7,1,6,2,30,1,28,1,29,1,30,8,29,2,6,1,30,1,29,1,30,2,29,1,6,1,30,3,6,1,29,1,6,1,28,1,6,3,30,1,6,1,30,4,28,1,30,1,6,1,30,2,28,2,30,5,29,1,28,1,30,1,6,1,30,1,29,2,6,1,30,2,29,1,30,1,28,2,30,2,28,1,6,1,28,1,30,11,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,29,1,30,1,28,4,30,2,28,29,6,3,29,1,30,1,29,1,28,2,6,1,28,1,30,2,29,1,30,1,29,1,6,1,30,1,6,2,29,1,6,3,7,1,13,2,8,1,13,2,9,2,6,1,29,1,30,1,28,1,30,1,29,1,30,1,28,2,30,3,6,1,30,3,29,2,30,1,29,1,30,2,6,1,30,2,6,1,30,2,6,2,30,2,28,1,6,1,10,1,12,1,24,1,7,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,17,3,11,3,9,2,8,1,9,1,13,2,8,1,9,2,8,1,9,1,13,1,8,1,13,2,12,1,10,1,13,1,8,1,30,1,29,1,6,4,7,1,30,1,6,1,30,4,6,1,30,1,6,1,13,4,7,1,29,1,6,3,7,2,6,1,13,1,7,1,6,2,30,1,6,5,7,1,6,1,13,1,6,2,30,1,6,6,30,1,28,1,6,1,30,4,28,2,30,2,28,1,30,1,28,3,30,1,28,2,30,2,28,1,29,1,28,2,30,1,28,5,30,1,28,2,30,1,28,2,30,2,6,1,30,2,6,2,7,1,30,1,6,1,7,3,9,1,8,2,12,1,11,1,17,1,11,1,10,1,12,3,17,1,9,1,12,1,10,1,9,1,8,1,9,3,17,1,8,3,10,1,24,1,13,1,8,4,24,1,8,1,13,1,9,1,7,1,13,1,8,2,13,1,24,1,8,1,7,1,9,1,8,1,13,1,8,3,13,1,8,1,13,1,24,1,13,1,8,1,7,1,8,1,9,1,24,2,8,1,13,1,8,1,9,1,24,1,9,1,12,1,10,1,9,1,10,1,9,1,8,1,12,1,10,2,8,1,12,1,17,1,11,1,9,4,24,1,9,2,13,1,9,1,10,1,24,1,13,1,7,1,13,1,6,3,13,1,9,1,24,3,12,1,10,1,24,3,10,1,24,6,8,1,24,1,12,1,24,2,12,1,24,4,27,1,29,3,30,1,28,10,30,1,29,1,27,1,29,3,26,1,8,1,25,1,24,6,25,2,26,1,27,1,25,1,27,1,25,1,27,3,25,1,24,1,25,1,8,1,25,2,8,1,24,2,25,1,24,1,8,2,24,1,25,1,24,1,8,1,24,1,8,1,12,1,10,1,13,1,8,1,13,1,7,1,6,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,6,1,8,1,9,3,13,2,9,1,13,5,6,1,13,1,6,1,13,1,29,1,13,1,6,2,13,1,29,1,13,1,6,1,13,4,7,1,13,1,7,1,6,2,7,1,6,4,13,1,6,2,13,1,7,1,13,2,6,3,8,1,7,1,6,1,13,1,29,2,13,1,6,2,29,1,7,1,6,1,13,1,29,1,6,2,29,1,6,1,13,2,29,1,6,4,7,1,6,1,29,2,6,5,7,1,13,1,7,1,13,3,6,1,8,1,7,1,9,1,13,1,9,1,6,1,13,2,6,1,13,3,7,1,13,1,6,1,7,1,13,3,6,1,13,1,6,2,7,1,6,1,13,2,6,1,13,2,7,2,6,1,13,3,6,1,13,1,8,1,6,1,8,2,7,1,13,1,8,1,13,4,6,1,7,1,29,1,7,1,6,2,7,1,13,1,6,2,29,2,30,1,6,1,29,1,30,1,7,1,30,1,7,1,29,1,13,1,29,2,6,1,30,1,6,1,29,1,7,1,6,1,13,3,6,1,8,1,9,1,13,2,9,1,16,1,7,1,6,2,30,1,6,1,30,1,6,3,30,1,6,1,7,1,30,1,6,1,30,1,6,5,29,1,6,1,30,1,6,5,30,1,28,1,30,2,6,1,28,1,29,2,6,2,30,1,29,2,30,1,29,1,28,1,30,1,6,1,30,1,29,1,30,1,6,1,30,5,6,1,28,2,6,1,29,1,30,2,29,1,30,1,6,2,30,1,6,1,30,4,6,1,30,2,6,2,30,2,29,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,29,1,30,3,6,2,29,2,30,1,28,1,30,2,28,1,30,2,6,1,13,1,6,2,30,1,13,1,30,4,6,1,28,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,29,1,28,1,6,3,13,1,6,1,7,1,30,1,29,1,30,1,6,3,13,1,6,1,7,1,6,1,30,2,6,1,13,1,6,1,13,2,6,1,13,1,6,2,30,2,6,2,30,1,6,2,28,1,6,5,30,1,6,1,29,2,6,1,29,1,6,4,13,1,6,2,13,1,6,1,13,1,7,1,29,1,6,1,30,1,6,1,7,1,6,3,13,1,7,1,13,1,6,1,13,1,29,1,30,1,6,1,29,1,30,1,6,2,29,1,13,2,6,1,13,2,29,1,6,1,7,1,6,1,29,1,13,1,6,3,30,1,29,1,6,2,29,1,6,1,28,1,6,1,30,2,29,1,30,1,6,2,29,1,30,1,29,1,30,1,28,1,29,1,30,1,6,1,30,1,29,1,28,1,30,2,28,1,30,5,29,1,30,4,13,1,6,2,30,2,13,1,30,2,6,1,13,1,7,1,6,1,30,3,10,1,13,1,6,1,13,1,29,1,30,2,28,1,30,1,6,1,30,3,29,1,6,1,30,1,29,1,28,1,6,1,30,2,6,1,7,1,29,2,30,4,28,1,30,1,28,2,30,3,6,1,30,2,6,1,30,1,28,1,6,2,7,1,29,1,30,1,6,1,30,1,29,1,6,2,29,2,6,1,7,1,29,1,6,1,13,1,7,1,6,1,29,1,6,1,30,2,6,2,7,1,6,1,29,1,30,2,29,2,6,5,30,1,6,1,29,1,30,1,29,1,6,1,30,2,28,2,6,1,30,1,6,1,8,1,30,1,6,3,30,3,6,1,30,1,29,2,30,2,29,1,6,1,30,1,6,2,30,1,6,2,13,1,16,1,30,1,6,1,30,5,29,1,30,4,6,1,30,1,29,2,30,1,29,2,30,1,6,1,29,1,6,1,30,1,6,2,30,3,28,1,30,2,29,1,30,1,6,2,30,1,29,1,30,1,29,2,13,1,6,4,30,1,29,1,6,2,30,1,6,2,30,1,29,3,6,1,30,2,29,1,6,1,30,1,28,1,6,1,30,1,7,1,13,1,29,1,30,1,6,2,29,2,6,1,13,2,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,4,30,1,6,1,29,1,28,1,30,1,28,1,30,1,6,2,28,1,29,1,30,1,28,1,30,2,29,1,30,1,28,1,30,1,28,1,29,1,6,1,30,4,6,1,29,1,6,1,30,3,6,1,30,2,6,1,29,1,30,1,6,1,29,1,28,2,6,5,28,1,30,2,29,1,28,1,30,4,6,1,30,1,29,2,30,1,29,2,30,2,6,3,7,1,6,2,13,1,6,2,30,1,6,1,7,1,30,1,13,1,6,2,7,1,13,1,7,1,29,1,6,1,30,1,29,1,30,1,6,1,29,1,30,1,13,2,6,1,29,1,6,1,13,1,30,2,29,1,30,1,29,1,30,1,6,2,29,1,6,1,28,1,30,2,13,1,6,1,13,1,7,1,9,2,13,1,30,1,6,1,29,3,6,1,29,2,30,1,28,1,29,1,6,1,30,1,29,1,30,1,6,1,28,1,7,1,6,1,29,1,6,1,13,1,30,1,29,1,6,2,30,2,6,2,7,1,13,1,6,2,28,1,6,1,30,2,6,1,28,1,6,2,13,1,6,1,30,1,6,1,30,1,6,3,13,1,6,2,7,1,6,5,30,1,6,1,28,1,30,2,28,12,29,1,7,1,13,1,6,1,8,1,13,1,7,1,8,1,13,1,7,1,13,1,9,1,13,2,9,4,8,1,9,5,11,1,10,1,9,3,13,2,10,1,11,1,9,1,17,5,16,1,11,1,17,4,11,4,12,1,9,1,11,1,10,1,11,1,10,1,11,2,10,2,11,1,12,1,10,1,17,1,11,1,16,1,17,1,11,1,12,2,17,1,12,1,17,1,12,1,17,1,11,1,10,1,12,1,9,1,11,1,9,1,8,1,6,2,30,1,28,3,29,1,30,1,6,1,28,2,30,2,28,1,30,1,28,1,30,4,28,1,30,5,28,2,30,2,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,30,2,29,1,6,1,29,2,6,2,30,1,7,1,30,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,29,1,30,3,6,1,29,1,6,1,29,1,6,3,30,1,6,1,30,1,6,1,29,2,6,3,30,2,6,3,30,1,6,1,29,1,6,1,29,1,13,1,6,2,13,1,7,1,13,2,6,1,8,1,9,1,10,1,9,1,13,1,30,1,29,1,28,13,30,1,28,2,30,2,28,8,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,1,29,1,30,1,6,5,13,1,6,1,8,1,13,1,6,2,7,1,13,1,6,2,13,2,6,1,13,1,7,1,30,1,6,1,30,1,13,1,30,3,28,1,6,1,30,2,28,1,30,2,28,2,30,2,6,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,2,29,1,13,1,29,1,6,1,8,2,13,1,8,1,13,1,10,1,9,1,8,1,9,2,10,1,9,1,16,1,17,1,16,1,17,13,8,1,11,1,8,1,13,2,7,1,13,1,8,1,13,1,6,2,7,1,6,1,30,1,28,39,30,2,6,1,30,1,29,1,6,1,29,1,8,1,24,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,7,1,6,1,8,2,13,1,9,1,10,1,17,2,9,1,28,1,30,1,6,1,30,2,29,1,28,4,30,1,28,11,6,1,30,1,28,4,30,2,28,9,30,1,28,2,30,1,28,4,30,2,28,1,29,1,28,1,30,1,8,1,9,1,11,2,8,1,13,1,6,1,13,2,30,1,29,1,30,4,28,2,30,1,28,1,30,1,28,9,30,1,28,1,6,1,28,27,30,1,28,1,30,1,28,3,30,1,28,4,6,1,28,11,30,1,28,11,30,1,28,5,30,1,28,3,30,1,28,16,30,1,28,6,30,1,28,6,30,2,28,13,30,1,28,2,6,1,28,23,6,1,13,2,30,1,28,2,30,1,28,2,30,1,6,3,13,2,8,1,13,1,28,16,9,1,14,1,16,1,10,1,13,1,6,2,29,2,6,1,28,2,30,1,28,8,30,1,28,1,6,1,8,1,9,1,12,1,11,1,17,4,13,1,28,6,13,1,8,1,13,1,28,42,13,1,30,1,29,1,30,1,28,2,17,3,13,1,7,2,13,1,7,1,6,1,13,1,9,1,11,1,17,3,28,6,29,1,9,1,6,1,28,10,30,1,28,1,6,2,29,1,28,3,}, {17,6,11,1,8,1,13,1,6,1,28,1,30,1,28,2,29,1,9,1,10,1,30,1,28,6,29,1,28,1,30,1,28,38,30,1,28,2,30,1,6,1,8,1,10,1,8,1,7,1,29,1,6,1,30,1,6,1,13,1,12,1,11,1,8,1,6,1,7,1,8,1,13,1,8,1,13,1,8,1,11,1,12,1,17,5,14,1,10,1,13,1,28,1,7,1,28,1,6,1,9,2,7,1,6,1,13,1,6,1,13,2,9,1,17,5,16,1,9,2,11,1,12,1,17,2,16,1,17,2,13,1,6,1,29,1,13,1,7,1,13,1,8,1,7,1,13,1,6,1,28,33,6,1,28,1,6,1,8,1,9,1,11,1,10,1,17,1,16,1,13,1,8,1,6,2,30,1,28,1,13,1,11,1,17,5,16,1,13,1,8,2,6,1,13,1,8,1,6,2,28,1,6,1,9,1,8,1,13,1,8,1,9,1,10,1,8,2,9,1,11,1,17,5,28,15,6,1,7,1,6,2,29,2,6,3,29,1,7,1,28,1,30,1,28,2,30,1,6,1,30,3,28,2,30,1,6,1,30,2,28,3,29,1,28,1,30,1,29,1,30,1,29,1,6,1,29,3,30,1,29,1,30,1,29,1,28,1,30,3,6,1,29,1,30,3,6,1,30,1,6,1,28,1,30,4,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,2,13,1,30,2,28,2,6,1,30,1,28,1,30,1,28,1,30,5,28,1,30,2,6,2,28,1,30,4,28,37,30,1,13,1,6,1,30,2,6,1,28,1,30,1,6,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,30,2,6,3,13,1,6,2,13,4,8,2,13,1,8,1,13,1,30,2,6,1,30,2,29,1,30,3,28,1,30,1,6,1,28,1,29,1,30,4,28,1,30,2,6,2,30,2,28,1,30,1,28,2,29,1,30,2,28,1,8,1,17,1,9,1,29,1,6,1,28,3,30,9,28,1,7,1,17,3,11,3,9,2,10,1,9,2,8,3,9,2,13,4,9,1,12,1,8,2,13,1,6,1,7,2,6,3,30,2,6,3,30,1,6,1,13,1,9,1,13,2,6,1,13,1,6,2,30,1,6,2,7,2,13,1,6,1,7,2,13,1,7,2,6,1,7,1,30,1,6,3,7,1,6,1,7,1,6,1,7,1,6,5,30,3,28,1,30,1,6,1,30,3,28,4,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,3,30,3,28,3,30,7,6,1,30,1,29,2,6,1,7,1,6,1,29,1,13,1,29,1,13,1,24,1,13,1,9,1,10,1,12,1,10,1,11,1,12,1,10,1,12,1,10,1,11,1,10,1,9,5,10,1,9,4,24,1,8,2,13,1,8,1,13,1,24,1,8,4,13,1,9,1,8,1,13,1,8,1,13,3,8,2,9,1,8,1,24,1,13,2,9,1,8,5,24,2,13,2,8,1,9,1,8,1,9,2,8,1,9,1,8,1,13,1,10,1,24,2,13,1,8,1,12,2,24,1,17,1,24,1,9,1,13,1,7,1,13,1,7,1,6,3,7,1,30,2,6,6,13,1,8,1,13,1,24,1,8,1,24,2,8,1,25,1,24,1,8,1,12,1,24,2,8,1,24,6,12,1,15,1,8,2,24,1,25,1,26,1,30,1,29,2,30,1,28,11,30,1,28,1,27,2,29,2,8,1,24,4,8,1,24,2,25,1,27,1,25,4,27,2,26,1,27,1,25,1,27,1,8,1,25,2,8,1,24,1,25,1,24,1,8,1,25,1,24,4,8,1,24,2,8,3,24,1,7,2,6,1,7,1,6,1,7,2,13,2,8,1,9,1,7,1,13,1,7,1,9,3,13,1,8,2,9,1,16,1,9,2,8,1,6,1,7,3,29,1,13,2,6,1,7,1,13,1,6,1,13,1,6,2,30,1,6,4,7,1,13,3,6,1,13,1,6,1,13,1,7,1,6,1,29,1,13,1,30,2,6,3,7,1,13,1,6,2,29,1,13,2,6,3,30,1,13,1,6,2,8,1,7,1,6,2,30,1,7,1,30,1,6,5,30,1,6,2,30,2,6,2,13,1,6,2,13,1,7,1,29,1,13,1,6,1,7,1,13,2,7,1,13,3,6,1,7,1,13,1,7,3,6,1,13,2,6,2,13,1,9,1,13,1,8,1,6,1,13,3,8,1,7,1,6,1,13,3,6,1,13,1,7,1,6,2,13,2,8,1,7,1,13,1,30,1,6,1,13,1,6,1,13,1,30,1,6,2,13,1,29,1,7,1,30,1,29,2,30,1,28,1,6,1,28,1,6,2,29,1,30,3,6,1,30,2,6,1,29,2,30,1,29,1,7,1,29,1,30,1,29,1,7,1,13,2,7,1,13,4,8,1,13,1,9,1,13,1,7,1,6,1,13,1,29,1,7,1,29,1,6,3,7,2,30,1,6,2,29,1,6,1,28,1,29,1,6,2,30,1,6,3,7,1,6,1,30,1,6,3,28,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,30,2,29,1,30,2,29,1,28,1,30,1,6,1,30,1,6,2,29,1,28,2,30,2,28,1,29,1,30,1,6,1,29,1,30,1,29,2,6,1,30,1,6,1,30,1,29,1,6,1,29,1,6,3,29,2,30,1,6,1,13,1,6,3,30,1,29,1,6,4,29,1,30,1,29,2,30,2,29,1,6,1,30,2,29,1,30,1,29,1,6,2,7,2,6,1,13,1,6,1,28,1,30,3,6,1,28,1,6,1,28,1,30,1,28,2,30,3,29,1,30,1,6,2,13,1,6,6,13,1,6,1,13,1,6,1,30,1,6,2,7,1,6,1,7,1,6,1,13,1,6,3,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,29,1,30,1,29,1,6,1,7,1,6,1,30,1,6,3,13,2,6,2,29,1,6,1,30,1,6,1,7,1,6,4,30,1,7,1,29,1,13,2,8,1,13,4,6,2,30,1,29,2,6,1,28,1,6,1,30,1,13,2,6,2,29,1,30,1,6,1,7,1,6,4,29,1,6,1,30,1,29,2,13,1,6,1,30,1,6,5,29,1,30,1,6,1,30,1,6,1,28,2,6,1,30,1,6,2,30,3,29,1,30,3,6,1,30,4,6,3,30,5,6,1,30,2,28,3,29,2,11,1,13,1,30,1,13,2,30,1,6,1,30,2,28,1,30,7,6,1,30,2,6,1,30,3,6,2,30,1,29,1,30,1,29,1,30,3,6,1,28,1,6,2,29,1,30,1,29,2,30,1,28,1,6,1,13,1,30,1,29,1,30,1,6,1,28,2,29,1,6,1,28,1,29,1,6,2,30,1,6,2,7,1,6,3,30,2,28,1,30,1,28,1,6,1,29,1,6,3,29,2,13,1,6,1,13,2,30,1,6,2,30,2,29,1,28,1,29,2,6,1,30,1,28,1,6,1,29,1,30,1,6,1,30,2,6,1,28,1,30,1,29,1,30,5,6,1,30,2,28,1,6,2,28,1,6,1,17,1,29,1,30,2,6,1,30,1,28,1,6,1,30,1,28,1,30,1,29,1,30,1,29,1,30,3,6,1,29,1,30,1,29,1,30,2,29,1,30,1,6,1,30,1,29,1,30,7,6,1,29,3,6,1,30,1,29,1,6,1,13,1,6,4,30,2,7,1,29,1,30,1,29,2,6,1,30,1,6,1,29,1,6,2,29,1,30,2,6,1,28,1,6,1,30,1,29,1,6,1,7,1,28,1,6,1,29,1,30,1,6,1,29,1,6,1,7,1,30,2,29,1,30,2,29,1,30,2,6,2,28,1,30,1,28,1,6,1,30,2,29,2,30,2,28,1,29,1,28,1,30,1,29,1,30,1,29,1,30,3,28,1,30,4,28,1,30,1,29,1,6,1,30,1,6,1,30,5,6,1,30,2,29,1,30,1,29,1,30,3,6,1,30,1,7,1,29,1,6,2,29,1,30,1,6,1,29,1,30,1,29,1,30,3,29,1,6,1,30,1,29,1,6,5,30,1,6,1,30,2,6,2,29,1,6,1,29,1,6,1,13,1,6,1,29,1,6,1,29,1,6,1,30,2,29,2,28,1,30,1,29,2,6,3,29,1,6,1,30,1,6,1,29,1,6,5,30,1,6,1,13,1,7,1,6,1,13,1,30,1,6,1,8,1,13,1,6,1,7,1,6,5,30,1,29,1,28,1,6,1,30,1,6,1,30,2,29,3,30,1,6,3,30,2,6,2,29,1,28,1,30,2,28,1,30,1,6,1,13,1,6,4,30,1,29,1,30,1,6,1,30,1,13,2,30,1,6,1,30,1,6,3,29,2,13,1,7,1,6,1,7,2,6,2,13,1,6,2,29,1,30,1,29,1,30,1,28,13,8,1,7,1,13,1,6,1,9,2,13,5,8,2,6,1,8,1,9,1,13,1,9,2,10,1,9,1,8,1,9,1,13,1,8,1,9,6,11,3,17,9,11,1,17,1,11,1,12,1,11,1,9,2,11,1,10,1,11,2,17,1,11,1,17,1,11,1,10,1,12,1,11,1,17,1,11,2,17,1,10,1,11,1,9,1,17,2,11,3,17,1,9,1,11,1,10,1,17,1,11,2,6,3,30,1,28,1,29,1,30,2,28,2,30,2,28,1,30,1,29,1,30,3,28,1,30,3,6,1,30,1,28,1,30,1,28,2,6,1,28,2,29,1,28,1,30,4,28,2,29,1,30,2,29,1,30,2,6,3,29,1,6,1,30,1,29,2,7,1,29,1,28,1,6,2,30,1,29,1,30,1,29,1,7,1,13,1,6,1,30,2,6,1,30,1,13,1,30,1,29,1,6,6,30,1,6,1,30,4,6,1,29,1,6,3,28,1,29,1,7,1,6,2,13,2,7,1,13,2,9,1,13,1,9,2,8,1,13,1,30,1,28,1,30,3,28,14,30,1,28,2,30,4,28,3,6,1,30,3,28,1,30,2,29,1,6,4,29,1,30,1,6,1,13,1,6,1,13,2,8,1,7,1,13,6,7,1,6,1,13,2,6,1,13,2,30,1,6,1,28,1,29,1,6,1,30,7,28,1,30,1,28,1,30,1,28,3,30,2,28,1,29,1,6,1,30,5,29,1,6,1,30,1,6,1,13,2,8,3,10,2,8,1,9,1,11,3,16,1,17,2,16,1,17,12,9,2,8,1,13,1,6,1,13,4,7,2,6,2,30,1,28,41,6,1,29,1,6,2,7,1,8,2,7,1,8,1,13,1,8,1,6,1,8,2,6,1,7,1,13,3,7,1,13,2,11,1,17,2,6,1,28,3,30,2,28,2,30,1,28,14,6,1,28,8,30,1,28,10,30,1,28,3,30,1,28,1,30,2,28,2,13,1,8,1,9,1,11,1,12,1,9,1,13,1,6,1,13,2,6,1,30,4,28,4,30,1,28,11,30,1,28,1,30,1,28,2,6,1,30,1,28,21,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,11,30,3,28,9,30,1,28,1,30,1,28,5,30,1,28,1,30,3,28,26,30,2,28,3,30,1,28,4,30,1,28,4,6,1,28,21,30,1,28,1,30,1,13,2,9,1,13,1,30,1,28,2,30,1,28,4,6,1,13,2,11,1,13,1,28,16,9,1,17,1,16,1,11,1,13,1,8,1,13,1,7,1,6,1,13,1,30,3,28,7,30,1,28,1,29,1,13,1,29,1,17,1,11,1,17,5,13,1,28,6,13,1,8,2,28,42,7,1,6,1,30,1,28,2,6,1,17,3,9,1,29,1,13,1,9,1,30,1,9,1,6,1,9,1,17,3,12,1,28,5,30,1,13,3,28,9,6,1,28,2,30,1,28,5,}, {17,5,10,1,9,2,8,1,13,1,30,2,29,1,28,1,6,1,9,1,24,1,28,9,30,1,28,6,30,1,28,32,30,4,13,1,8,1,11,1,13,1,6,3,28,1,9,1,17,1,9,1,8,1,13,1,29,1,13,1,6,1,13,2,9,1,16,1,9,1,17,1,16,2,17,1,16,2,10,1,13,1,30,1,29,1,28,1,6,1,13,1,8,1,13,1,6,1,13,1,6,3,17,5,16,1,9,1,17,1,13,1,10,1,11,1,9,1,12,1,17,3,8,1,28,1,6,1,7,1,8,1,13,1,8,3,7,1,28,33,6,1,7,1,30,1,13,1,11,1,9,2,11,1,16,1,8,1,13,1,8,1,28,1,6,1,28,1,13,1,17,4,16,1,17,2,9,3,6,1,13,4,7,1,6,2,8,1,13,1,9,1,13,1,9,3,10,1,9,1,11,1,17,4,28,15,29,1,28,1,30,3,13,1,30,4,7,1,6,1,29,1,30,1,6,1,30,2,28,1,30,1,29,2,30,1,6,2,30,1,28,1,30,1,28,3,30,1,29,3,6,1,30,3,6,1,30,2,6,1,30,4,28,1,6,1,30,2,6,1,30,6,29,1,30,1,28,1,29,1,30,2,6,1,28,2,30,1,29,1,30,1,29,1,30,2,28,1,29,1,28,2,30,2,29,1,30,2,28,2,30,5,28,2,30,1,28,2,6,1,28,19,30,3,6,2,30,1,6,1,29,1,6,1,7,1,6,1,7,1,30,1,6,1,30,1,6,1,30,3,28,2,30,2,6,1,28,1,30,2,28,2,30,5,6,1,30,2,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,2,8,1,7,1,9,1,13,4,11,1,7,1,30,1,6,1,30,1,6,1,30,4,28,1,6,2,30,2,28,1,30,5,29,1,30,1,28,1,29,1,28,1,30,2,28,1,30,6,29,1,10,1,17,1,13,1,6,1,28,3,30,1,29,1,30,3,28,1,30,1,28,1,30,3,9,1,17,2,11,1,12,1,10,1,9,4,8,2,9,1,13,1,8,1,13,1,8,1,13,2,6,1,8,1,9,1,8,1,13,2,7,1,13,2,7,1,6,2,29,1,30,1,29,1,6,1,7,2,13,4,8,1,29,1,6,1,7,4,6,1,7,1,6,1,7,1,13,2,7,1,6,1,30,1,29,1,6,3,29,1,6,2,7,1,6,2,30,1,29,1,13,1,29,1,6,3,30,1,6,1,28,1,30,1,28,2,30,8,28,2,30,1,28,6,30,1,28,4,30,3,28,2,29,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,29,1,6,1,29,1,7,1,6,1,29,1,13,2,7,1,13,1,9,1,12,1,11,2,17,1,12,2,10,1,9,1,10,1,11,2,10,2,11,2,8,1,9,1,11,1,17,1,11,1,24,2,8,2,24,1,10,1,24,1,13,1,9,1,24,1,8,1,9,1,7,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,24,1,8,2,24,1,8,1,24,2,8,4,24,1,11,1,8,2,9,1,8,1,13,1,8,3,9,1,13,1,8,1,9,2,8,2,13,1,7,1,13,2,7,1,30,1,28,2,30,1,7,1,6,1,30,2,28,1,30,1,6,1,13,1,7,1,13,2,8,7,24,1,25,1,24,15,12,1,24,5,25,1,27,1,29,2,30,1,28,10,29,2,27,3,29,2,25,1,24,7,25,1,26,1,25,1,26,1,25,1,26,1,27,1,25,1,27,2,8,1,25,2,24,1,25,1,24,1,25,1,24,2,25,2,8,1,24,1,8,2,24,2,8,1,12,1,9,1,8,4,13,1,6,1,13,2,8,4,9,1,13,1,9,1,16,1,8,2,9,1,8,1,13,1,8,1,7,1,13,3,8,1,13,1,7,1,6,1,29,1,7,1,30,1,13,2,6,2,29,1,6,3,13,1,6,3,7,1,6,1,7,2,29,2,6,1,13,1,6,2,7,1,6,2,13,3,6,4,7,1,13,1,7,2,6,5,13,2,7,1,6,4,29,1,6,1,7,1,6,3,29,2,7,1,6,4,30,1,6,1,13,2,7,1,6,1,13,1,7,1,6,1,13,1,6,1,13,2,7,1,6,1,13,6,6,1,7,1,6,1,13,5,7,2,13,1,7,1,13,1,6,1,13,1,6,1,9,1,7,1,6,1,29,1,7,2,29,1,13,2,7,1,13,1,7,1,6,1,30,1,29,1,6,3,13,1,6,2,7,1,6,1,29,1,13,1,30,2,6,1,29,1,6,1,9,1,13,1,6,5,29,1,30,1,6,1,29,2,30,1,6,1,28,1,6,1,29,1,30,1,6,6,13,4,6,1,29,1,6,1,13,1,8,1,7,1,6,1,29,1,6,6,30,1,6,1,29,1,28,1,6,2,30,2,6,2,30,1,6,3,29,1,6,3,29,1,30,4,6,1,29,1,30,1,29,1,6,1,29,1,28,1,29,1,30,1,6,1,29,1,28,1,29,1,30,2,6,1,30,1,29,1,6,2,30,2,29,1,30,1,6,1,29,2,30,3,6,1,28,1,6,1,30,1,13,1,29,1,6,2,30,1,6,1,30,3,29,1,30,1,6,1,29,2,30,1,6,2,29,1,6,3,30,1,6,1,28,2,30,1,29,1,30,1,6,1,28,1,6,1,30,1,28,1,6,2,30,1,6,2,13,1,6,1,7,1,6,1,29,2,30,7,6,2,29,1,30,1,6,6,13,3,6,2,30,1,13,1,6,4,29,1,30,4,6,3,13,1,6,3,30,1,29,1,6,1,30,2,6,1,30,1,6,4,29,1,6,2,29,1,30,2,6,1,29,1,6,2,30,1,28,1,8,1,6,2,28,1,6,2,30,1,29,3,6,1,29,1,30,1,6,1,13,1,6,1,13,2,8,1,6,3,13,1,30,1,6,1,30,2,29,2,13,1,29,1,6,3,30,1,28,1,13,1,6,3,7,1,6,1,7,1,6,1,29,1,30,1,6,3,30,4,29,1,30,1,29,1,30,2,6,2,13,3,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,28,1,30,1,28,1,6,1,29,1,6,2,30,1,6,1,30,1,6,1,30,2,29,1,30,2,6,1,13,1,9,1,13,1,6,1,30,1,13,1,29,1,6,1,30,1,28,1,29,1,30,1,28,1,30,3,29,1,30,1,29,1,30,2,29,1,30,1,28,1,6,1,7,1,13,1,30,1,6,1,29,1,28,1,30,2,6,3,30,1,6,2,7,1,29,2,6,1,29,1,28,1,13,1,7,1,6,1,29,1,30,1,6,1,28,1,30,2,6,1,30,2,29,3,6,3,7,1,30,1,6,1,7,1,13,1,30,1,6,1,29,1,6,1,30,1,6,1,7,1,30,1,6,3,30,2,6,3,29,1,6,1,30,1,29,1,30,1,29,1,6,1,13,1,28,1,6,1,29,1,6,2,30,1,29,1,6,1,30,1,29,1,30,3,6,1,30,3,6,1,30,2,6,2,30,1,28,1,17,1,16,1,28,1,30,2,29,1,30,3,28,1,30,3,28,2,30,1,6,1,30,2,29,1,30,1,29,1,30,2,29,2,30,1,6,1,29,1,30,2,29,1,30,1,6,1,29,2,6,1,30,3,6,2,29,2,30,1,29,1,30,1,29,1,6,1,13,1,6,1,7,1,28,1,30,3,29,1,30,1,29,1,30,1,6,2,28,1,29,1,6,1,30,1,29,1,6,1,29,1,6,1,7,2,6,3,29,1,6,2,30,1,8,1,6,1,30,1,6,1,30,1,7,1,6,5,30,1,6,2,29,1,6,1,30,2,6,1,28,1,30,3,28,1,29,1,30,2,28,2,29,1,30,4,29,1,30,1,29,1,6,1,30,2,29,1,30,1,28,1,30,1,28,1,6,1,28,1,30,3,28,1,30,1,6,1,29,1,30,1,28,1,6,1,28,1,6,2,29,1,30,3,29,1,30,2,29,1,6,1,30,1,6,2,29,1,6,2,29,2,6,4,30,1,29,4,6,2,30,1,13,2,29,1,30,1,7,1,6,2,30,2,6,1,28,1,30,1,29,1,30,1,29,1,30,1,28,1,6,1,30,1,7,1,29,1,6,1,30,2,28,1,29,1,30,2,29,1,6,1,28,1,6,3,29,1,30,1,7,1,6,1,30,3,6,1,30,2,6,1,30,3,6,1,29,1,30,2,28,2,30,1,28,1,30,1,28,1,30,2,6,4,30,1,6,1,28,1,6,1,29,1,13,3,30,1,29,2,6,2,30,2,6,1,13,2,28,1,29,2,6,3,29,1,6,3,13,2,6,4,30,1,13,2,6,1,29,1,28,1,30,1,28,13,13,2,6,1,13,1,8,1,13,4,8,1,13,3,9,1,8,2,9,5,13,1,8,1,9,1,13,1,8,1,9,2,8,1,11,1,13,1,9,1,17,1,9,1,10,1,17,9,11,1,17,2,11,1,9,1,17,1,10,1,9,2,11,1,10,1,17,1,12,1,11,1,9,1,11,2,10,1,9,1,11,1,17,1,11,2,10,1,17,2,9,1,17,2,11,1,17,1,12,1,9,1,11,1,9,1,11,2,13,1,6,1,29,1,30,3,28,3,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,1,29,1,28,4,30,3,28,3,30,3,28,1,6,1,30,1,28,5,6,1,28,1,30,1,29,2,30,1,6,2,28,1,6,1,30,1,6,1,30,2,6,2,30,2,28,1,6,1,29,1,13,1,30,1,29,1,30,1,28,1,6,1,30,3,6,1,7,1,6,3,29,1,30,1,28,1,7,1,29,1,30,8,6,2,29,1,6,7,7,1,13,1,9,1,8,1,9,2,13,1,29,1,28,2,30,1,28,1,30,2,28,1,29,1,28,4,30,4,28,1,29,1,30,1,28,1,30,1,28,1,30,4,6,1,29,1,30,2,28,1,30,1,6,1,30,1,13,1,6,1,30,1,6,1,30,1,6,1,13,1,7,2,13,6,6,1,13,2,6,1,13,4,6,1,7,1,6,1,7,1,29,1,6,1,30,8,28,1,29,1,28,1,29,1,30,3,6,1,30,6,6,1,30,3,6,2,29,1,13,1,6,1,7,1,13,1,8,2,9,1,12,1,9,1,8,1,11,1,8,1,11,1,10,1,17,15,16,1,9,1,8,1,13,2,6,2,7,2,6,4,29,1,30,1,28,39,30,2,28,1,29,1,13,1,29,1,6,2,13,1,7,1,6,1,7,2,6,1,29,1,30,1,6,1,13,6,9,1,11,1,17,2,30,2,28,2,30,1,6,1,28,17,6,1,29,1,28,8,30,1,28,16,30,3,6,1,8,1,9,1,11,1,16,1,13,3,8,1,6,1,29,1,6,2,30,1,29,1,30,2,28,2,30,1,28,1,30,1,28,9,6,1,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,12,30,1,28,4,30,1,28,1,30,1,28,5,30,1,28,21,30,2,28,3,30,2,28,19,30,1,28,16,30,1,28,2,30,1,6,1,30,1,28,2,30,3,28,6,30,4,28,21,30,1,13,2,9,2,30,1,28,4,30,1,6,1,28,1,30,1,6,1,13,1,9,1,6,1,28,16,16,1,17,1,16,1,8,1,6,1,7,1,13,1,29,1,6,2,29,1,6,1,30,2,28,8,6,1,7,1,8,1,17,1,16,1,17,5,6,1,28,1,6,1,28,3,30,1,13,1,8,1,13,1,28,42,7,1,6,1,30,1,28,2,6,1,17,3,8,1,13,1,6,1,13,1,29,1,8,1,6,1,11,1,16,1,17,2,9,1,28,6,8,1,9,1,28,12,6,1,30,1,29,1,28,4,}, {17,6,16,1,9,1,13,1,29,1,6,1,28,3,6,1,24,1,8,1,29,1,28,24,30,1,28,24,29,1,30,2,13,2,11,1,7,1,28,3,30,1,24,1,9,1,12,1,13,1,6,1,13,1,6,1,13,1,7,1,8,1,29,1,10,1,11,3,16,3,12,1,8,1,24,1,6,1,29,1,28,1,6,1,8,1,9,1,8,1,29,1,6,2,13,1,6,1,9,1,17,4,11,1,17,1,16,1,9,3,17,1,12,1,17,2,16,1,10,1,13,1,6,2,13,1,7,2,10,1,8,1,30,1,28,32,7,1,6,1,30,1,28,1,13,1,8,1,9,2,17,1,11,1,13,1,8,1,7,1,30,1,29,1,28,1,13,1,11,1,17,4,16,1,17,1,11,1,9,2,6,1,13,3,6,1,30,1,13,3,8,1,10,1,9,1,8,2,9,3,12,1,17,1,16,1,17,2,6,1,28,14,30,1,6,2,30,2,29,1,6,1,13,1,7,1,29,1,7,1,13,1,6,1,28,1,6,1,28,2,30,1,6,1,29,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,2,6,1,30,1,28,1,30,1,6,1,30,1,29,1,6,1,29,1,6,1,29,1,6,1,7,1,6,2,30,2,6,1,28,1,6,1,30,3,28,1,29,1,30,5,29,2,30,1,6,3,30,2,29,1,6,1,30,2,6,1,30,3,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,16,6,1,30,1,6,1,28,1,30,2,6,1,29,1,28,1,30,2,6,1,30,1,6,1,30,2,29,1,30,2,6,1,13,1,7,1,6,1,13,2,9,1,13,2,30,1,29,2,28,2,30,2,28,2,30,1,28,1,30,4,29,1,6,1,29,1,6,2,30,1,6,2,7,1,13,6,9,1,13,1,6,1,30,1,28,1,30,2,6,1,29,1,30,5,28,1,30,3,28,1,29,1,6,1,28,1,13,1,30,3,28,1,30,1,29,1,30,5,29,1,28,1,6,1,17,2,6,1,30,4,28,1,30,2,28,1,30,1,28,1,30,2,28,1,7,2,17,2,12,1,17,1,11,1,12,1,10,1,9,3,8,1,13,1,9,1,13,1,9,1,13,2,7,1,13,1,8,1,10,1,9,1,13,2,7,2,6,1,7,1,6,3,7,1,29,1,6,1,13,2,9,1,13,2,7,1,6,4,7,1,6,1,13,1,28,1,6,2,30,1,13,2,6,1,30,1,29,1,30,1,7,1,6,2,7,1,6,3,7,2,13,1,7,1,6,2,7,1,6,2,30,1,6,1,29,2,30,1,28,1,30,5,28,1,30,4,29,1,28,3,30,4,28,2,30,1,28,2,30,1,28,5,30,2,28,1,29,1,28,1,6,1,28,1,29,1,6,1,30,1,7,2,6,1,29,1,8,1,13,1,8,1,17,1,10,1,9,1,10,1,12,1,10,1,12,2,17,1,10,1,9,2,11,1,8,1,10,1,12,1,10,2,12,1,9,2,13,1,9,2,24,2,9,1,8,3,13,1,9,1,8,1,13,1,24,1,8,2,9,2,13,1,24,1,13,1,8,1,24,1,10,1,8,2,24,2,8,1,13,1,12,1,7,1,13,1,9,1,8,1,13,1,8,1,9,5,24,1,9,2,13,1,6,5,28,1,29,2,25,1,13,1,6,4,7,1,13,1,7,1,29,1,24,1,8,1,6,1,26,1,24,2,26,1,8,1,25,1,8,2,6,1,25,1,8,1,27,1,8,1,25,1,24,3,8,1,24,4,8,1,24,6,8,1,25,1,27,1,30,1,29,2,28,10,30,1,29,3,26,1,29,2,25,1,24,7,8,1,27,1,26,1,25,2,8,1,26,1,25,1,27,2,26,1,25,1,24,1,25,2,24,1,25,1,24,1,25,1,24,1,8,1,25,1,26,1,24,1,10,1,12,1,10,1,24,1,9,1,8,1,10,1,9,1,13,1,8,2,13,2,8,1,13,1,6,1,13,1,8,1,13,6,8,1,13,1,7,1,6,1,13,1,6,1,7,1,13,3,8,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,29,1,6,1,7,1,6,2,30,1,6,1,13,1,6,6,13,1,7,2,13,1,7,2,6,2,13,1,6,1,7,3,6,2,13,1,6,1,7,1,6,3,7,1,13,1,6,4,30,1,6,1,29,1,6,3,10,1,6,1,13,1,8,1,13,2,7,1,6,2,30,1,29,1,6,1,13,1,7,1,6,1,13,2,7,1,13,2,6,3,7,1,6,2,7,1,29,1,6,1,13,1,6,1,13,1,7,1,13,5,7,1,13,2,6,1,13,1,9,1,7,1,6,1,13,1,6,1,13,1,6,2,13,1,10,1,9,1,8,2,10,1,7,1,13,2,6,2,13,1,6,3,7,1,13,1,6,1,13,1,6,1,13,1,6,4,7,1,13,2,30,2,6,1,29,1,6,3,30,4,29,1,30,1,6,2,30,1,29,1,6,7,13,2,8,1,6,1,13,1,30,1,9,1,8,1,13,1,6,2,28,1,30,2,6,1,30,1,6,1,29,1,6,1,30,1,29,1,6,3,30,1,29,2,30,1,6,1,29,1,6,3,30,1,6,1,30,1,6,1,30,2,6,1,29,2,28,1,6,2,30,2,6,1,30,3,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,3,30,1,6,1,29,1,28,1,30,2,29,1,30,1,6,1,29,2,30,1,6,1,7,1,6,2,28,1,30,1,6,4,30,1,6,1,30,1,6,2,13,1,30,1,29,2,6,1,30,1,6,2,29,1,30,1,6,1,7,1,6,1,30,1,28,1,30,2,6,4,29,1,30,3,6,1,13,1,6,1,13,1,28,1,6,3,30,1,28,2,6,1,30,1,6,3,30,1,6,1,28,1,13,1,30,1,28,1,6,1,7,1,30,1,6,1,7,1,30,1,28,1,30,1,13,3,6,3,30,2,29,1,13,1,6,1,7,1,6,4,29,1,6,1,30,1,6,1,28,1,6,1,28,1,29,3,13,1,28,1,6,1,30,1,13,1,29,1,6,1,30,1,6,1,30,1,7,1,30,1,13,2,6,3,13,1,6,1,30,3,29,1,6,2,30,1,13,1,7,1,6,1,7,1,13,1,7,1,13,1,7,2,13,1,6,1,29,1,28,1,30,1,7,1,6,1,30,1,6,1,30,1,29,1,30,1,29,2,6,4,7,1,30,1,29,1,6,4,30,1,6,1,30,2,6,1,30,1,6,1,28,1,29,1,30,1,29,1,6,2,29,1,30,1,29,1,28,1,30,2,6,1,29,1,30,2,6,3,30,2,28,1,30,1,28,1,30,2,6,2,29,1,7,1,30,2,6,2,30,1,28,1,13,1,6,1,11,1,13,1,30,3,6,1,13,1,28,1,6,1,30,2,29,1,6,1,28,2,6,1,30,1,29,1,30,4,6,1,7,1,29,1,30,2,7,1,28,1,30,1,29,1,6,2,29,1,6,4,30,1,29,1,6,3,29,1,6,3,29,1,30,1,6,1,30,1,6,2,30,4,6,1,29,1,13,1,30,1,29,1,6,1,13,1,6,4,29,1,6,1,29,1,13,1,6,2,7,1,6,3,30,1,6,2,30,2,6,2,29,1,13,1,30,1,6,3,30,1,6,1,29,1,6,1,30,1,29,2,13,1,30,1,6,1,29,1,30,1,29,2,6,1,29,1,30,1,6,1,29,1,6,1,30,3,29,2,28,1,16,1,17,1,28,1,29,1,6,1,30,3,28,2,29,1,28,2,6,2,30,6,28,1,30,3,29,1,6,1,30,2,29,1,28,1,30,3,28,1,6,1,30,2,6,1,30,2,29,1,30,2,29,1,28,1,6,1,29,1,13,1,6,1,29,1,6,3,30,2,6,3,30,2,6,1,30,3,6,2,29,1,30,1,13,2,6,2,29,1,6,2,29,2,30,1,7,1,13,1,29,2,6,5,30,1,6,3,30,1,29,1,28,1,6,3,28,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,28,1,6,1,28,1,6,1,28,1,30,1,28,1,30,2,6,2,29,1,30,2,6,1,30,2,6,2,28,1,6,1,29,1,30,3,6,1,30,1,6,1,28,1,30,1,6,1,30,2,6,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,6,1,13,1,6,3,29,1,30,1,29,1,30,1,6,1,7,1,29,1,30,1,6,2,28,1,13,3,6,3,28,1,6,1,30,2,28,1,30,6,29,1,6,1,7,1,6,1,30,5,6,1,30,3,28,1,30,1,28,1,30,3,29,1,30,1,29,1,28,1,29,2,30,1,29,1,6,3,30,1,6,1,29,1,30,2,6,1,30,1,29,1,6,1,30,6,6,1,30,1,6,1,28,2,30,1,28,1,30,1,29,1,6,3,28,1,30,3,29,1,13,3,6,1,30,1,29,1,6,2,7,1,30,1,29,2,6,1,7,1,6,1,29,1,13,6,6,3,30,1,28,2,30,1,28,10,6,1,13,5,8,1,6,1,13,4,6,1,8,1,13,1,8,1,13,2,9,2,8,1,11,1,9,2,8,1,13,2,9,3,13,1,9,1,11,1,17,1,16,1,11,1,17,10,11,1,17,1,10,2,11,1,9,2,11,2,9,1,12,1,11,2,12,1,17,4,11,2,10,2,17,1,16,1,11,2,10,1,17,2,11,1,17,1,11,1,16,1,11,2,9,1,6,1,13,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,4,28,1,30,1,29,1,6,1,28,3,30,1,28,9,30,2,28,2,6,1,30,4,28,1,6,1,30,1,28,1,6,1,28,1,6,1,30,2,6,1,30,2,6,1,7,1,6,1,28,1,30,1,6,1,30,1,28,1,6,1,28,1,30,3,29,1,30,1,6,1,30,1,13,1,30,2,6,1,7,1,30,3,6,1,30,2,28,1,6,1,29,2,6,2,30,1,6,4,13,1,30,1,6,1,8,1,13,3,9,3,13,1,30,2,28,7,30,1,28,1,30,1,28,1,30,3,28,3,30,1,6,1,7,1,30,3,29,1,30,1,29,1,6,1,28,1,7,1,30,1,6,2,13,1,30,1,13,1,6,1,13,9,7,1,13,3,6,1,13,2,7,1,13,1,6,1,8,1,6,1,13,2,7,1,6,3,30,1,28,1,6,1,7,1,29,1,30,3,28,1,30,1,28,1,30,1,7,1,29,1,6,3,29,1,6,1,28,1,6,1,30,1,6,2,13,1,7,1,13,2,8,1,9,1,13,1,9,2,11,1,12,1,10,1,9,1,11,1,10,1,9,1,17,1,11,1,17,13,9,1,13,2,7,1,13,1,7,1,13,1,6,1,13,1,6,2,29,1,6,1,30,1,28,15,30,1,28,24,30,1,28,1,30,2,8,1,6,1,29,1,8,3,6,1,7,1,6,2,29,1,7,1,6,1,7,1,6,1,24,1,9,1,13,2,9,1,16,2,17,1,6,1,28,2,30,1,28,1,30,3,28,24,30,1,28,6,30,1,28,8,30,1,28,3,6,1,30,1,9,1,8,1,9,3,13,3,7,1,6,2,30,5,28,3,30,3,28,7,6,1,30,1,28,31,6,1,28,2,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,8,30,1,28,2,30,1,28,5,30,1,28,4,30,2,28,5,30,2,28,1,30,1,28,11,30,1,28,15,30,1,6,2,30,1,28,6,30,1,28,2,30,2,6,1,29,1,28,2,30,2,28,4,30,1,28,13,6,1,8,1,9,3,13,1,28,4,30,1,6,1,28,1,30,2,13,2,6,1,28,16,9,1,17,1,16,1,9,1,7,1,8,1,6,1,8,1,28,1,13,1,6,1,30,1,28,2,30,1,28,5,13,1,28,1,29,1,13,2,10,1,17,1,11,1,16,1,17,3,6,1,28,1,6,1,28,4,13,2,7,1,28,41,6,1,13,2,30,1,28,2,6,1,17,3,8,1,13,2,10,1,8,2,13,1,9,1,17,3,9,1,28,5,30,1,9,2,29,1,28,8,30,1,28,1,30,1,28,1,13,1,28,5,}, {17,5,11,1,13,2,8,1,6,2,28,1,30,1,28,1,30,1,9,2,29,1,28,7,30,1,28,2,30,1,28,16,30,1,28,13,30,1,28,6,30,1,28,2,6,1,7,1,13,1,12,1,30,1,6,1,29,3,24,2,10,1,9,1,13,1,6,1,7,1,6,3,13,1,10,2,12,1,17,3,16,1,9,1,8,1,13,1,6,1,28,1,30,1,28,1,13,1,9,1,8,1,13,1,6,2,13,2,9,1,17,4,16,1,11,1,16,1,11,2,9,1,16,1,17,4,8,1,28,1,29,1,30,1,6,1,8,1,24,1,9,1,24,1,6,1,28,34,29,1,30,1,8,1,9,3,17,1,12,1,8,1,7,1,13,1,6,1,28,2,7,1,17,4,16,1,17,1,9,1,11,1,16,1,10,1,8,1,6,1,13,1,6,1,30,1,8,1,6,1,8,1,13,1,8,1,24,2,13,1,8,1,9,1,8,1,11,1,12,1,10,1,11,1,16,2,30,1,28,14,30,1,13,1,6,1,13,1,6,1,13,1,6,8,28,1,30,2,6,2,30,1,6,3,30,1,28,1,6,1,28,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,29,1,30,2,29,1,30,2,28,1,29,1,6,1,29,1,30,3,28,1,30,1,6,1,28,1,30,3,29,1,30,3,29,1,30,3,6,1,30,2,29,1,6,2,30,2,29,2,30,1,29,1,30,5,28,1,6,1,30,7,28,18,30,1,6,3,30,1,6,1,30,1,6,1,30,3,13,1,30,1,29,1,30,1,6,3,30,1,6,4,13,1,7,1,6,1,13,4,6,2,29,1,6,2,30,1,29,1,30,1,28,2,30,1,29,1,6,1,30,1,6,4,30,1,6,5,13,5,8,2,13,1,30,2,6,1,30,2,6,1,28,1,30,1,6,1,30,2,6,2,28,1,29,1,6,1,28,2,13,2,28,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,29,1,28,1,29,2,8,1,12,1,13,1,6,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,2,29,1,9,1,17,2,12,1,11,1,9,1,10,1,24,1,9,2,24,1,13,1,8,1,13,2,8,1,13,3,10,2,13,2,7,1,6,2,13,1,7,2,6,4,7,1,13,1,9,1,29,1,6,1,7,1,13,1,7,1,6,2,7,1,6,1,7,1,13,1,6,1,13,2,6,3,7,4,29,1,7,1,6,2,7,2,6,1,7,1,6,1,30,1,7,1,29,1,7,1,29,1,30,1,6,1,30,1,29,1,30,3,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,29,1,30,2,28,1,30,1,29,1,28,4,30,1,28,3,30,3,29,2,30,1,6,1,29,1,13,1,6,1,29,1,6,1,7,1,13,1,6,1,9,1,8,2,11,1,12,1,10,1,12,1,11,1,12,1,11,1,10,1,11,2,12,1,11,1,9,1,11,1,10,1,8,1,9,1,10,2,9,1,24,2,12,1,13,1,10,1,8,2,24,2,9,3,13,1,8,1,13,2,8,1,24,1,8,1,9,2,8,4,9,1,24,1,8,1,13,1,24,1,13,1,24,1,9,1,24,1,8,1,13,1,9,1,13,1,9,3,8,1,12,1,10,1,7,1,6,1,29,1,30,1,28,1,30,1,29,2,6,1,26,3,6,1,7,1,6,1,7,1,13,1,6,1,26,1,8,2,26,1,8,1,25,1,8,1,25,2,8,1,26,1,27,1,25,1,6,1,8,1,25,1,8,1,24,1,8,1,12,1,24,4,8,1,12,1,24,4,12,1,24,4,25,2,29,2,28,1,30,1,28,9,30,3,29,1,27,2,29,1,27,1,25,1,24,4,15,1,24,1,25,3,27,1,25,1,27,2,8,1,27,2,8,1,25,1,24,1,25,1,24,1,8,2,24,2,8,1,25,2,8,1,24,1,12,1,24,1,9,2,8,2,7,1,13,1,9,1,8,1,13,1,8,1,9,1,8,1,13,3,7,1,6,2,13,3,8,2,30,1,13,1,6,3,7,1,13,2,6,2,13,1,6,2,13,1,7,1,30,1,6,1,13,2,30,1,6,1,7,1,13,1,30,1,6,1,13,1,6,3,7,1,6,1,29,1,6,3,13,1,7,2,13,1,6,2,13,1,7,1,30,1,13,1,7,1,6,2,13,1,6,1,13,1,6,5,7,1,6,1,7,1,6,1,13,2,30,1,6,1,30,1,11,1,6,2,8,1,13,2,30,1,6,7,7,1,6,3,30,1,13,1,7,1,29,1,6,1,30,1,13,1,6,1,30,1,13,1,6,2,13,4,29,1,13,3,6,2,7,1,13,1,6,1,30,1,13,3,7,1,13,1,6,1,13,1,7,1,6,1,7,1,6,2,13,3,6,2,13,1,7,1,6,1,30,1,13,1,29,1,6,3,30,1,29,1,28,1,30,1,29,3,28,2,7,1,6,1,30,1,6,2,30,1,13,1,28,1,30,6,7,1,30,1,6,1,30,1,6,2,30,1,6,1,13,3,6,2,29,1,28,1,13,4,6,1,30,1,28,1,6,1,29,2,30,1,29,1,6,1,30,1,29,1,6,1,30,1,6,2,28,1,7,1,6,1,30,1,6,2,7,1,30,1,6,1,7,1,6,2,30,5,29,1,30,2,6,2,30,1,6,1,30,1,6,1,30,1,28,1,30,1,29,1,30,1,29,1,30,2,29,1,6,1,13,1,6,2,29,1,6,1,29,1,30,1,6,2,29,1,6,1,29,1,28,1,29,1,7,1,6,1,29,1,6,1,30,1,6,1,30,2,6,2,30,2,6,3,30,1,29,1,6,1,30,1,29,1,6,2,28,1,6,1,30,3,29,1,6,1,28,1,30,3,6,1,30,1,28,1,30,2,29,1,7,1,6,1,13,2,6,1,13,1,6,1,29,1,13,3,6,2,9,1,13,4,6,1,7,2,9,2,6,3,29,1,7,1,6,1,29,1,6,1,28,1,6,1,30,1,6,1,13,1,6,1,30,2,6,2,30,1,7,1,6,3,7,1,30,1,6,1,29,1,6,3,30,1,13,1,30,1,13,1,6,1,29,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,7,1,13,1,30,1,6,1,29,2,6,1,7,1,13,2,30,1,6,4,7,1,13,2,6,1,13,1,6,2,13,2,28,1,30,2,6,1,30,1,6,1,29,2,30,2,6,3,30,1,6,3,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,2,29,1,30,3,28,1,29,1,30,1,6,1,30,1,28,1,30,1,28,1,30,3,28,2,6,2,30,1,29,1,28,1,30,1,6,1,30,4,28,1,6,1,29,2,30,1,29,1,30,1,28,1,6,1,29,1,30,1,16,1,13,2,30,1,28,2,30,1,13,1,6,1,30,3,28,4,6,1,28,1,6,1,28,1,30,2,6,1,30,1,28,1,6,1,30,3,29,1,28,1,30,1,6,1,30,1,13,1,7,1,6,1,30,2,29,1,7,1,30,1,13,1,30,1,13,1,30,1,6,3,7,1,30,1,6,1,29,1,30,1,29,1,30,1,6,1,30,1,29,1,6,2,30,1,6,2,13,1,6,2,13,1,6,2,30,1,6,3,29,1,7,1,13,1,6,1,29,1,6,1,29,1,30,1,29,1,6,1,30,1,29,1,30,1,6,2,29,1,6,1,30,1,6,1,30,1,29,1,13,1,29,2,30,1,6,1,29,1,6,1,30,1,6,1,29,1,6,3,28,2,6,3,29,1,6,2,30,1,6,1,28,1,6,1,17,1,28,1,29,1,30,1,29,1,30,6,6,1,30,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,30,1,29,1,6,1,30,2,28,1,30,1,28,2,6,1,28,2,30,1,28,2,30,3,6,1,30,1,6,2,29,1,30,1,13,2,6,1,30,1,29,1,6,3,29,1,30,1,6,7,30,2,6,2,13,1,6,1,13,1,6,2,13,1,30,1,6,2,30,1,6,1,30,1,6,3,28,1,6,2,29,1,6,1,30,1,29,1,6,1,30,1,29,1,6,2,30,1,28,1,6,1,30,1,29,1,30,1,29,1,30,4,28,1,29,1,6,1,28,1,30,1,29,1,28,1,29,1,30,5,6,2,28,4,30,4,6,1,28,1,30,3,29,1,30,3,29,1,30,1,6,1,30,1,6,3,30,1,6,1,28,1,29,1,30,2,6,4,29,2,28,1,6,1,29,1,6,1,30,1,6,1,30,2,29,1,6,1,29,1,6,1,28,1,13,2,6,1,7,1,13,2,29,1,6,1,28,1,30,4,6,1,28,2,29,1,30,3,13,1,30,2,6,3,30,2,28,2,30,5,28,1,29,3,6,2,7,1,30,1,6,1,30,1,6,1,30,2,6,1,29,1,30,1,29,1,28,3,30,4,28,1,30,1,7,1,30,1,7,1,28,1,30,5,6,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,6,1,28,1,30,1,29,2,6,1,30,2,29,1,30,1,6,1,13,1,7,1,6,3,13,1,8,1,7,1,13,3,29,2,30,1,28,12,30,1,13,4,8,2,13,3,6,1,13,1,6,1,13,3,8,1,9,6,8,1,13,2,8,1,6,1,9,3,13,1,9,1,17,1,11,1,16,1,11,1,16,1,17,12,11,1,9,1,11,1,9,1,11,2,9,1,17,1,11,2,10,1,11,2,17,4,11,2,10,1,9,1,11,1,9,1,17,1,9,1,12,1,10,1,12,1,10,1,9,1,10,1,11,1,9,1,6,3,30,2,28,3,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,2,30,2,28,4,30,2,28,1,30,1,28,7,6,1,29,1,30,1,29,1,6,1,28,1,29,1,6,1,28,1,29,1,28,1,30,1,28,4,30,2,28,1,30,2,28,1,30,2,28,1,30,2,6,3,30,1,6,1,29,2,30,4,28,1,30,2,28,1,6,1,28,1,30,1,28,1,6,1,30,1,6,2,30,1,13,1,29,2,13,2,6,1,13,2,7,1,9,1,7,1,8,1,13,2,7,1,28,4,30,2,28,1,30,4,6,1,30,1,28,1,30,6,6,1,29,1,28,1,6,1,30,1,6,3,13,1,6,1,13,3,6,1,13,1,6,1,13,1,8,1,13,3,8,1,13,1,9,1,13,2,6,1,13,5,8,1,13,3,8,1,13,1,29,1,13,3,6,1,13,1,30,2,6,1,28,1,6,1,30,1,28,1,30,3,6,1,28,1,29,1,28,1,6,2,30,1,29,1,6,1,28,1,13,1,6,1,13,4,9,1,13,1,9,2,10,1,11,1,9,1,10,1,9,1,17,1,12,1,17,2,12,2,16,1,17,10,16,1,9,1,6,2,13,1,7,1,13,1,6,2,7,1,6,4,30,1,28,44,6,1,29,1,6,1,13,2,6,1,29,1,30,1,6,2,29,1,6,1,7,1,13,2,8,1,13,3,8,1,17,1,9,1,17,1,6,1,28,3,30,1,6,1,30,1,6,1,28,17,30,1,28,20,30,1,28,6,6,1,8,2,11,1,9,1,7,1,13,1,6,1,7,1,13,1,30,1,28,1,30,2,29,1,28,3,30,1,28,10,6,1,28,4,30,1,28,17,30,1,28,9,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,7,30,1,28,7,30,4,28,7,30,1,28,4,30,1,28,2,30,1,28,7,30,1,28,15,30,1,28,1,30,1,7,1,6,1,28,4,30,1,28,2,30,2,28,2,30,1,28,22,30,1,13,1,8,1,13,1,9,1,13,1,6,1,28,4,30,3,28,1,6,1,13,2,6,1,28,16,16,1,17,1,16,1,9,1,13,2,6,1,13,2,30,1,28,2,30,1,28,6,6,1,28,2,6,2,13,1,12,1,16,1,17,1,16,2,17,1,11,1,28,6,7,1,13,1,6,2,28,41,29,1,6,2,30,1,28,2,7,1,17,2,16,1,13,5,8,1,13,1,10,1,11,1,17,2,13,1,28,6,8,1,9,1,29,1,28,9,30,1,28,2,29,1,28,5,}, {17,5,11,1,9,1,8,1,9,1,30,1,29,1,28,4,7,1,14,1,30,1,28,27,30,1,28,19,30,1,29,2,30,2,28,1,13,1,17,1,8,1,6,1,30,1,28,1,29,1,13,1,12,1,14,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,9,1,12,1,11,1,17,4,16,1,10,1,6,2,30,1,29,1,28,1,8,1,24,1,13,1,6,3,13,1,7,1,9,1,16,1,17,3,16,1,17,2,12,1,8,1,9,1,16,1,12,1,17,3,11,1,8,1,13,1,6,1,13,2,8,1,24,1,13,1,30,1,28,36,6,1,24,1,13,1,9,2,17,1,24,1,6,1,24,1,6,1,7,1,28,1,6,1,17,5,11,2,16,1,11,1,9,2,8,3,28,1,30,1,6,1,9,1,13,1,8,2,9,1,8,1,13,1,8,1,11,1,10,2,12,1,17,3,29,1,28,14,30,1,28,1,6,1,30,1,7,1,6,2,30,1,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,30,1,29,2,6,1,30,1,28,1,29,1,30,1,28,1,30,1,6,1,30,1,28,1,29,1,6,1,30,1,29,1,6,3,29,1,28,1,30,2,28,1,30,4,29,1,28,1,29,1,30,3,28,2,30,3,6,1,28,1,6,2,30,2,29,1,6,1,30,1,6,1,30,3,29,1,30,2,6,1,28,1,29,1,28,1,30,3,28,18,30,1,6,1,30,4,6,1,30,1,6,1,30,6,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,13,1,6,1,13,5,6,1,13,1,6,1,7,1,6,2,29,1,30,1,28,1,6,1,30,2,28,3,29,1,6,1,30,3,6,1,30,2,6,1,30,1,13,1,6,1,13,2,8,1,13,1,8,1,13,1,30,1,6,1,28,1,30,6,28,1,30,1,28,1,30,1,29,1,28,1,13,1,30,1,6,1,29,1,6,1,30,8,6,1,28,1,6,1,30,1,29,1,30,2,6,1,9,2,13,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,3,6,1,13,1,17,2,12,2,11,1,10,2,9,2,8,1,13,1,9,1,8,1,13,5,9,1,10,1,8,1,13,1,7,1,13,1,7,1,6,3,13,2,6,1,8,1,9,1,8,1,13,1,6,1,13,1,6,2,13,1,7,2,6,1,29,1,6,1,7,2,6,1,13,1,30,1,13,3,7,1,6,1,7,1,6,1,7,1,13,2,30,1,7,1,6,3,7,1,6,1,30,1,6,2,30,2,6,1,30,1,6,2,28,1,30,1,29,1,6,2,30,5,6,1,28,3,30,1,29,1,28,1,30,3,28,3,30,1,28,1,30,2,28,1,30,1,29,1,30,2,29,1,30,1,29,1,30,1,6,5,7,1,6,2,13,2,8,2,9,1,11,1,9,1,24,1,10,2,12,1,10,1,12,2,10,1,12,1,9,1,10,3,11,1,9,6,8,3,24,2,9,3,13,1,8,1,9,1,13,1,24,2,13,1,24,1,8,2,24,1,8,1,24,1,8,1,9,2,13,1,9,1,8,2,24,1,8,3,9,1,8,2,24,2,8,1,9,1,13,1,30,1,28,4,29,1,6,1,29,1,6,1,27,1,26,1,8,1,27,1,26,2,8,1,26,1,25,1,8,1,26,1,8,2,25,1,26,1,8,1,25,1,26,1,25,1,29,1,25,1,8,1,26,1,8,1,25,2,8,1,25,1,8,1,24,1,8,1,24,4,12,1,24,6,8,1,24,1,25,1,27,2,29,2,30,1,28,10,29,1,28,1,29,1,27,4,25,1,24,1,25,1,8,1,24,1,25,1,24,2,25,2,26,1,25,2,26,1,27,4,24,1,25,1,26,1,27,1,26,1,24,4,8,1,25,3,8,2,9,1,8,1,24,1,13,4,8,1,9,1,8,1,13,3,8,2,13,1,6,1,13,1,7,1,6,1,13,3,6,3,7,2,6,2,7,1,13,1,7,1,13,1,6,2,7,1,6,3,7,1,6,1,13,1,30,1,7,1,6,2,13,1,6,1,7,1,29,1,6,1,29,1,6,4,13,1,7,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,2,6,3,13,1,7,1,6,2,7,1,13,1,6,2,30,1,13,1,6,1,29,1,13,1,6,1,13,1,30,1,17,1,11,1,29,1,6,2,7,1,29,1,7,1,29,1,6,2,29,1,30,1,6,3,7,1,29,1,6,1,13,1,6,1,30,1,6,1,13,1,6,2,13,1,6,1,7,1,6,1,7,2,6,1,8,1,13,1,6,1,13,2,6,1,13,2,6,1,7,1,6,1,7,1,6,2,13,2,6,1,13,1,6,1,13,2,6,2,9,1,13,1,6,2,13,2,30,1,6,1,7,1,29,1,6,1,30,1,6,1,30,2,29,1,30,2,6,2,7,1,29,1,6,1,7,1,30,1,6,1,29,1,30,1,6,1,30,1,28,1,6,1,30,2,29,1,30,1,6,1,13,1,30,2,6,1,29,1,6,3,7,1,13,2,29,2,30,1,6,1,13,1,8,2,6,1,29,1,6,2,30,2,6,1,30,1,6,1,29,1,30,1,6,1,30,1,28,1,7,1,30,1,29,1,6,1,29,1,30,2,29,1,6,2,29,1,6,1,30,1,6,2,30,4,29,1,30,2,6,1,29,3,6,1,30,2,6,1,28,1,30,1,6,1,30,2,29,1,6,1,7,1,6,1,30,2,29,2,6,1,28,1,6,3,29,1,30,1,29,1,30,1,13,1,7,1,29,1,28,1,6,2,30,4,29,1,6,1,29,1,30,2,29,1,30,4,6,1,30,1,6,2,30,1,29,1,6,1,30,1,28,1,6,2,30,1,6,2,29,1,6,1,29,2,30,3,6,1,30,1,6,1,13,8,8,1,13,2,9,1,11,1,8,1,9,1,8,2,13,2,6,2,13,1,6,9,29,1,30,1,29,1,6,1,29,1,30,1,13,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,30,2,6,1,28,1,29,1,30,1,6,3,30,1,6,1,29,1,6,2,29,1,30,1,6,2,30,1,29,1,30,1,7,1,28,1,7,2,13,1,6,3,13,1,29,1,6,2,13,1,30,1,13,1,6,1,13,1,7,1,13,2,30,5,6,9,30,3,6,2,29,1,30,1,29,1,30,1,6,1,29,1,6,1,30,1,6,3,30,1,6,1,30,3,28,1,6,2,30,3,29,1,28,1,30,4,28,1,30,2,28,1,9,1,17,1,28,2,30,2,28,1,30,1,6,1,30,2,28,1,6,1,30,1,29,1,28,1,8,1,16,1,28,3,29,1,30,3,28,1,30,2,28,1,30,3,28,1,6,1,28,2,30,3,28,2,6,4,30,1,6,2,30,1,29,1,30,1,6,8,13,1,6,1,13,1,6,3,28,1,13,1,9,1,8,1,6,2,7,1,30,1,7,1,29,1,6,1,29,2,13,1,6,1,30,1,13,1,6,3,29,2,6,1,30,1,6,6,30,1,6,2,29,1,6,1,30,1,6,1,29,1,13,1,6,1,30,2,29,1,6,1,30,1,6,2,29,1,6,1,29,1,30,1,6,1,28,1,30,1,6,2,30,2,6,1,30,6,6,4,29,1,6,1,30,1,16,2,28,1,6,1,30,1,6,1,30,2,29,1,30,3,29,1,30,2,6,1,30,3,29,1,30,3,28,1,30,1,6,1,13,1,28,1,30,1,28,1,30,3,6,1,30,2,7,1,28,1,6,1,30,1,6,2,29,2,6,1,30,2,6,3,29,1,30,1,6,2,29,1,6,5,29,3,6,1,30,1,29,1,30,1,6,2,13,1,6,1,13,1,6,3,29,1,7,2,6,2,30,1,13,1,7,2,29,1,30,1,29,1,30,1,6,3,30,1,6,1,29,1,6,1,7,1,29,1,30,4,28,1,29,2,30,2,28,1,29,2,30,6,28,1,6,3,30,1,29,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,30,4,7,1,28,1,30,3,7,1,6,1,13,1,30,1,29,1,30,4,6,1,29,1,28,1,29,1,6,3,30,2,29,1,28,1,30,1,6,2,29,3,30,1,6,1,30,1,8,1,7,2,30,2,7,1,30,1,6,1,30,1,28,1,30,1,28,5,6,1,28,1,30,2,6,1,28,1,30,1,6,1,30,1,28,2,30,1,28,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,7,1,13,3,6,1,28,4,30,1,29,1,30,3,28,2,30,1,29,1,30,2,28,1,30,1,29,1,28,1,30,1,6,2,28,1,6,1,30,3,7,2,6,2,30,1,6,1,30,1,6,1,13,1,30,1,6,1,30,2,6,1,30,1,29,1,30,1,29,1,30,2,29,1,30,2,13,2,29,1,6,1,13,3,8,1,7,1,6,2,29,1,30,2,28,12,6,1,13,7,6,1,13,4,7,1,13,3,9,5,8,1,9,1,8,1,13,3,9,2,8,1,9,1,16,1,9,1,11,1,16,1,11,1,17,1,16,1,17,7,12,1,17,3,11,1,12,1,9,2,17,1,11,4,12,1,17,2,11,1,17,1,10,1,16,1,11,1,16,1,11,1,10,1,9,3,11,3,17,1,12,1,9,1,11,1,10,1,9,1,13,1,6,1,13,1,30,1,28,1,30,1,28,7,30,1,28,1,30,1,29,1,6,1,30,3,28,4,30,1,28,4,30,2,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,6,30,2,28,1,30,2,28,2,6,1,30,1,6,1,30,1,6,1,28,1,30,7,28,1,30,6,6,1,28,1,30,1,28,1,13,1,6,1,30,1,9,1,13,1,30,1,6,2,7,1,13,1,6,1,13,5,30,1,28,1,30,1,28,1,30,1,28,4,6,1,30,2,6,1,30,4,6,1,30,1,6,1,30,1,6,1,28,1,13,1,6,1,7,1,29,1,6,2,13,2,8,1,7,1,6,1,13,3,7,1,6,1,13,3,7,1,9,1,13,1,6,1,8,1,13,3,8,1,13,5,8,1,13,3,8,1,6,1,13,1,30,1,6,1,13,1,30,1,6,1,30,1,6,3,30,1,6,1,7,1,13,1,6,2,30,1,6,1,13,1,29,1,6,1,13,1,7,2,13,2,8,1,9,1,8,1,9,2,11,1,9,1,11,1,17,1,9,1,11,1,12,1,11,2,12,1,16,2,17,10,11,1,9,1,13,2,6,4,7,1,6,1,29,1,6,2,30,1,29,1,28,9,30,1,28,33,30,1,28,1,29,1,13,1,6,1,13,1,6,5,30,1,6,1,13,2,7,1,13,1,6,1,13,3,9,1,17,3,13,1,28,2,30,1,6,1,30,3,28,3,30,2,28,2,30,1,28,9,29,1,28,22,30,1,28,1,30,3,6,1,8,2,9,1,13,1,8,1,13,1,6,1,13,1,6,2,29,1,6,1,29,1,30,1,28,3,30,1,28,3,30,1,28,6,6,1,28,7,30,1,28,24,6,1,30,2,28,2,30,1,28,5,30,1,28,2,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,2,30,1,28,3,30,2,28,2,30,1,28,3,30,2,28,1,30,1,28,20,30,1,28,17,30,1,6,1,28,4,30,2,28,4,30,1,6,1,28,4,30,1,28,4,30,1,28,12,30,1,6,1,8,1,13,2,9,1,13,1,29,1,28,3,30,1,28,3,6,1,13,2,28,17,16,1,17,1,16,1,11,1,13,1,6,1,13,1,7,1,6,4,28,4,30,1,28,1,30,1,28,2,30,1,29,1,6,1,9,1,10,1,9,1,16,1,17,1,11,1,17,1,10,1,28,6,6,1,11,1,6,2,28,13,29,1,28,28,13,1,6,1,28,3,30,1,17,2,10,1,13,2,8,1,9,1,8,1,9,1,8,1,16,1,11,1,17,2,13,1,28,6,10,1,9,1,28,12,29,1,28,6,}, {17,4,16,2,9,3,13,1,28,1,29,1,28,1,30,2,8,1,15,1,28,45,30,1,28,1,30,2,6,1,29,1,28,1,6,1,29,1,13,1,12,1,7,1,30,2,29,1,30,1,6,1,12,1,9,1,8,1,29,1,7,1,6,2,8,1,6,2,8,1,11,1,17,4,16,2,11,1,13,1,6,1,29,1,28,2,6,1,24,1,9,1,8,1,6,1,7,1,6,1,30,1,9,1,17,5,11,1,17,1,11,1,12,2,17,1,16,1,17,3,11,1,7,1,30,1,7,2,13,2,12,1,13,1,30,1,28,36,13,2,7,1,9,1,11,2,9,1,7,1,8,1,6,1,28,2,30,1,17,4,10,2,17,1,11,1,16,1,11,1,9,3,13,1,7,1,6,1,28,1,13,1,8,2,9,1,8,1,13,1,24,1,9,3,12,1,17,1,11,1,17,2,29,1,28,14,6,1,13,1,30,1,6,2,28,1,6,2,7,1,30,1,6,2,30,1,6,1,13,1,28,1,29,1,30,1,6,1,30,2,6,1,30,2,6,2,28,1,6,1,30,1,28,1,6,1,30,2,6,1,30,7,6,1,30,1,6,1,30,1,29,1,30,2,28,1,6,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,29,1,6,1,28,1,6,2,30,1,6,1,30,1,7,1,30,1,6,1,30,1,29,1,30,4,28,1,30,2,28,1,30,1,28,1,30,4,28,13,30,1,28,1,30,2,28,1,30,1,28,1,30,4,6,5,30,1,6,1,29,1,30,1,6,1,30,1,29,2,30,1,6,1,30,1,29,1,30,4,6,1,13,1,29,1,6,1,7,1,6,2,7,1,6,1,30,1,6,4,29,1,6,1,30,1,28,1,30,1,6,1,28,1,30,2,6,1,29,1,6,1,13,1,6,3,30,1,6,1,8,1,13,1,29,1,13,3,30,1,28,2,6,1,30,3,28,1,30,2,28,1,30,1,29,1,30,2,29,1,30,1,6,1,30,1,13,1,29,1,30,4,6,2,30,6,29,1,30,2,6,1,11,1,8,1,6,1,30,1,28,2,6,1,30,9,6,1,12,1,17,2,12,1,17,1,9,3,24,1,9,1,8,2,13,2,7,1,13,1,7,1,8,1,12,1,10,1,8,1,13,1,7,1,6,1,7,1,6,1,13,1,7,3,6,1,11,1,12,1,9,1,8,1,6,1,13,1,6,1,7,3,13,1,8,1,13,1,7,2,13,1,7,1,13,1,7,3,13,1,7,1,30,1,13,1,8,2,6,1,7,3,6,6,7,1,6,2,30,1,6,2,29,1,7,1,30,1,29,1,30,1,28,1,6,1,29,1,6,1,29,1,6,1,30,4,6,1,29,1,30,1,28,1,30,2,28,1,30,5,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,2,29,1,6,2,29,1,6,3,13,1,7,1,13,1,7,1,8,1,11,1,9,2,24,1,8,2,24,1,10,1,13,1,12,1,10,1,24,1,11,3,9,1,10,1,12,1,10,1,24,1,11,1,9,1,8,1,9,2,8,1,13,1,9,1,8,1,9,2,8,2,13,1,8,3,9,1,24,1,8,1,24,1,8,1,24,1,8,1,9,1,13,1,8,1,24,1,8,1,11,1,8,1,9,2,8,1,9,1,8,1,13,1,24,1,8,1,9,1,8,2,13,1,28,1,30,1,28,3,30,1,29,1,27,2,30,1,25,1,26,2,27,1,25,1,6,1,29,2,26,1,25,1,26,1,25,1,27,1,8,1,25,1,26,1,8,1,25,1,27,2,25,1,8,1,25,1,8,1,25,1,8,1,24,9,8,1,24,3,15,1,24,2,8,1,25,1,27,1,29,1,30,3,28,8,30,1,28,1,29,3,25,1,26,1,27,2,24,1,25,2,24,1,25,1,24,1,25,1,24,1,8,1,26,1,27,1,25,3,27,1,25,1,26,2,25,1,26,1,25,1,27,1,8,1,24,3,25,1,8,1,25,1,8,1,27,1,8,1,24,2,9,2,24,1,6,1,13,1,6,1,8,1,13,1,8,1,13,2,6,1,13,2,6,6,28,1,29,1,13,1,6,1,7,1,13,1,6,1,30,1,6,4,28,1,30,1,6,2,29,1,6,5,13,1,6,5,7,1,30,1,13,1,6,2,7,1,6,2,7,1,6,1,7,1,6,2,30,1,6,1,30,1,13,2,7,1,13,1,6,3,13,1,30,1,29,1,6,5,13,1,6,1,29,1,13,2,7,1,13,1,6,1,28,1,17,2,13,1,7,2,13,1,7,1,6,1,13,1,11,3,13,1,7,1,29,1,6,1,13,1,30,2,13,2,6,4,30,1,6,1,7,1,6,1,13,1,7,1,6,1,7,1,6,1,13,2,6,1,7,1,13,1,7,2,6,1,13,1,7,3,13,1,6,3,13,1,6,2,13,1,6,1,7,1,6,3,7,1,6,3,30,1,6,5,30,1,6,1,29,1,6,1,30,1,6,1,29,1,30,2,29,4,6,1,29,1,6,1,29,1,6,1,30,1,6,1,28,1,6,2,30,1,6,2,29,1,6,1,29,1,6,1,7,1,6,1,7,1,6,1,29,1,6,1,30,2,7,1,13,1,30,1,13,1,29,1,6,1,30,1,6,1,28,1,29,1,28,1,6,1,30,2,29,1,6,2,30,1,6,1,7,1,29,2,6,3,30,1,6,1,30,1,6,1,30,1,13,1,6,1,29,2,30,1,6,1,30,4,6,1,30,1,6,2,30,2,6,2,30,1,29,2,6,3,29,1,6,1,30,1,6,1,30,1,29,2,30,1,6,1,29,1,30,1,29,1,30,1,28,1,30,2,6,2,29,1,30,1,6,1,30,3,6,1,30,2,28,1,6,3,30,2,29,1,6,1,30,1,29,2,6,3,30,1,6,1,29,1,30,1,6,1,30,2,6,1,29,2,6,1,30,3,29,1,30,1,13,1,29,1,6,2,30,1,6,1,28,1,30,1,6,1,13,1,29,1,30,1,13,1,6,1,30,1,6,1,28,1,29,1,28,1,30,2,6,3,29,1,30,1,6,2,13,1,7,1,6,1,13,1,30,5,29,1,6,1,30,1,6,2,30,2,6,1,29,2,6,1,30,1,6,3,29,1,6,3,30,1,29,2,30,1,29,2,30,1,6,2,30,1,13,1,6,1,7,1,30,1,13,1,6,1,13,5,6,1,8,2,6,1,30,1,8,1,6,4,28,1,6,2,30,1,6,1,29,3,28,1,29,1,6,1,29,1,30,1,6,1,13,2,6,2,29,1,13,1,6,2,29,1,6,1,30,1,29,1,6,2,30,1,6,1,30,1,6,1,30,1,29,1,6,1,28,1,30,1,29,1,28,1,6,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,2,28,2,29,1,28,1,6,1,13,2,6,1,30,1,6,1,29,2,30,1,29,2,30,2,29,1,28,1,29,1,28,1,8,1,16,1,28,1,6,1,29,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,2,29,1,30,2,6,1,30,5,29,1,30,1,7,1,30,2,6,1,29,1,6,1,30,1,6,1,29,2,30,1,29,2,30,2,6,2,13,1,30,1,7,1,13,1,6,3,30,1,28,1,6,1,13,1,29,1,6,1,29,1,6,1,29,1,6,1,13,1,7,1,6,4,13,1,6,1,13,1,29,2,6,3,28,1,6,1,30,1,6,1,30,2,13,1,29,2,30,1,6,4,30,2,6,1,30,1,6,1,30,1,7,1,30,1,6,1,30,3,28,1,6,2,29,1,6,3,30,1,29,1,30,1,6,1,29,1,6,3,30,1,6,3,30,1,13,1,30,1,9,2,28,1,13,1,29,1,28,2,30,1,29,1,30,3,29,1,28,1,29,1,30,3,29,1,30,1,29,3,6,2,28,1,29,1,30,5,29,1,6,1,29,1,6,2,30,4,29,1,6,1,29,2,6,3,29,1,30,1,6,1,29,1,6,3,29,1,30,1,6,1,29,1,6,1,29,1,6,2,29,1,6,1,30,1,13,1,6,1,13,1,6,1,7,1,6,4,30,1,6,2,13,1,6,4,7,1,6,1,30,2,6,2,7,1,29,2,6,1,28,1,6,2,30,2,29,1,30,1,29,2,30,1,28,1,6,1,30,4,29,1,30,1,29,1,30,1,28,1,29,1,30,1,6,1,7,1,6,1,30,1,28,1,6,1,28,1,6,2,30,1,28,1,30,3,29,1,6,2,30,2,6,2,30,1,7,1,13,1,29,2,30,1,29,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,29,2,30,6,6,2,13,1,28,3,6,1,30,1,28,1,30,3,6,1,28,1,30,1,28,2,30,2,29,1,6,2,28,1,29,1,6,1,30,3,29,1,30,1,29,1,30,1,28,2,6,1,30,1,29,1,30,1,13,3,6,1,30,1,7,1,8,1,13,2,30,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,30,3,29,1,28,2,30,1,28,1,6,1,13,1,6,2,30,2,28,2,6,1,7,1,6,1,13,1,29,1,7,1,29,1,6,2,30,1,28,1,30,4,29,1,30,1,29,2,6,1,29,1,6,2,13,1,7,2,6,1,13,7,6,1,30,1,29,1,28,12,30,1,6,1,13,1,8,1,13,1,8,1,9,1,13,7,9,1,8,1,13,1,8,1,9,2,8,1,9,4,8,1,13,1,30,1,13,1,9,3,11,1,9,1,11,1,17,1,11,1,17,13,12,2,17,1,9,3,17,1,11,1,17,2,9,2,11,1,12,1,17,2,9,1,11,1,17,1,11,1,9,3,11,1,16,1,11,2,17,1,9,3,11,1,9,1,13,1,6,1,30,1,6,1,30,1,28,1,30,3,28,2,30,2,28,2,30,3,28,1,30,4,28,5,30,1,28,5,30,1,28,7,30,1,28,3,30,2,28,1,13,1,28,14,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,5,30,1,28,1,29,1,30,2,28,1,29,2,13,1,6,1,29,1,30,1,6,3,13,2,6,1,30,1,13,3,9,1,13,2,6,1,28,1,30,3,28,1,30,1,28,1,29,1,28,1,30,2,6,1,28,1,6,1,30,2,6,1,7,1,6,1,29,2,6,1,7,1,29,1,6,3,8,1,6,1,13,1,6,2,13,3,9,1,8,2,6,1,8,3,9,1,13,2,9,1,13,7,7,1,13,1,6,1,13,1,6,1,7,1,13,5,6,1,7,1,28,1,6,3,13,2,6,1,13,1,7,1,6,1,8,2,13,5,8,4,11,1,9,1,11,1,9,1,12,1,17,1,11,2,12,1,16,1,17,1,11,2,17,1,16,2,17,7,16,1,9,1,13,1,6,1,7,1,13,1,6,1,13,1,6,4,7,1,29,2,30,1,28,43,30,1,28,1,30,1,8,1,13,1,6,4,29,2,6,1,13,1,7,1,6,2,7,1,6,2,13,2,9,1,17,1,11,1,17,1,13,1,28,2,6,2,30,3,28,17,30,2,28,5,30,1,28,7,30,1,28,5,30,1,28,5,30,2,9,2,8,1,9,1,13,3,6,3,29,2,30,1,28,14,30,1,6,1,28,14,30,1,28,4,30,1,28,5,30,2,28,5,6,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,2,28,3,30,5,6,1,30,6,28,1,30,2,28,2,30,1,28,2,30,1,28,9,30,1,28,3,29,1,28,18,6,1,7,1,28,1,30,2,6,1,30,2,6,1,13,1,30,3,28,2,30,1,28,1,30,1,28,16,29,1,28,1,13,6,7,1,28,6,30,2,13,2,28,17,17,3,9,1,13,1,7,1,13,1,8,1,13,1,6,2,30,1,28,8,6,1,30,2,6,1,13,1,11,1,16,1,17,1,11,1,17,2,9,1,28,6,13,2,7,1,28,1,30,1,28,12,30,1,28,27,6,1,13,1,29,1,30,1,28,2,6,1,17,2,10,1,8,1,6,1,8,1,9,1,13,1,8,1,9,1,16,1,17,3,7,1,28,3,30,1,6,1,28,1,8,1,13,1,28,10,6,1,30,1,28,2,30,1,6,1,28,3,}, {17,6,16,1,9,2,29,1,28,2,30,1,28,2,6,1,9,1,6,1,28,46,30,2,6,1,30,2,6,3,9,1,24,1,30,1,29,1,28,2,6,1,11,2,24,1,6,4,7,1,29,1,7,1,13,1,11,1,17,2,16,1,17,2,16,2,13,1,6,1,30,1,28,1,30,1,13,1,8,2,13,1,6,1,13,2,8,1,7,1,17,7,9,1,10,1,9,1,11,1,16,1,17,3,16,1,6,3,8,1,6,1,24,1,9,1,13,1,30,1,28,36,6,1,13,2,9,1,11,1,10,1,9,1,29,1,28,1,30,1,6,1,29,1,28,1,16,1,17,4,8,1,11,2,16,1,12,1,13,1,9,2,13,1,6,1,7,1,6,2,13,1,9,1,8,1,24,1,9,2,24,1,17,1,9,1,17,5,30,1,28,14,13,1,30,1,13,1,7,1,29,1,6,1,30,2,6,4,30,1,7,2,30,1,28,2,30,1,28,1,30,1,29,1,30,1,29,1,28,1,30,1,28,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,30,4,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,29,1,28,1,6,1,30,4,28,1,6,1,30,1,6,3,28,1,30,1,29,1,6,1,28,1,29,1,30,1,28,1,29,1,30,1,29,1,28,15,30,1,6,1,30,1,28,1,30,1,28,1,30,3,6,1,30,2,29,1,30,2,28,1,30,6,6,1,28,1,6,1,30,8,28,1,30,1,13,1,6,3,7,1,13,1,29,1,6,1,13,1,6,4,13,1,29,1,6,4,7,1,6,1,13,1,30,1,29,1,6,5,30,1,6,1,13,1,7,1,13,1,8,1,13,1,6,3,30,1,6,2,28,1,30,3,28,1,6,1,30,2,28,1,30,3,6,1,28,1,6,2,29,1,30,1,29,1,13,1,30,3,29,1,6,1,29,1,28,1,29,1,28,1,30,3,7,1,17,1,8,1,30,2,28,3,30,1,28,1,30,5,28,2,7,1,17,1,11,1,12,1,9,1,11,1,8,1,9,1,13,1,8,2,13,6,8,1,17,1,11,1,9,1,13,1,7,2,13,2,6,1,13,1,7,1,13,3,9,1,8,1,9,1,6,1,13,1,7,1,6,3,7,1,6,1,13,1,7,3,6,1,13,1,7,2,13,1,6,1,13,3,6,1,13,1,6,3,7,1,29,1,6,1,7,1,29,1,6,2,7,1,30,1,13,2,30,1,6,2,30,1,6,1,28,1,6,1,29,1,28,1,6,1,30,7,28,3,30,1,6,1,30,1,28,5,30,1,28,1,6,1,30,4,28,1,6,1,30,2,7,1,6,2,30,1,13,1,7,1,6,1,13,4,9,1,12,1,8,1,24,1,13,1,8,2,24,1,10,2,9,1,10,4,9,1,11,1,10,1,9,1,10,1,12,1,9,1,11,1,9,3,10,1,9,2,13,1,8,1,9,2,8,1,10,1,9,3,8,1,24,1,13,1,8,2,11,1,24,1,8,3,9,1,10,2,9,2,10,1,9,1,8,1,9,1,10,1,8,1,9,1,8,1,9,1,30,1,28,4,29,2,30,1,27,2,29,2,26,1,25,4,29,1,6,1,8,1,27,1,26,1,27,1,25,3,8,2,25,3,8,1,26,2,25,4,24,2,8,1,25,1,24,1,25,1,24,3,8,1,24,4,8,2,27,3,29,2,30,1,28,7,30,1,28,2,30,1,27,1,29,1,27,4,25,1,24,1,25,1,8,1,24,1,25,1,24,1,26,1,8,1,25,2,27,1,25,1,27,2,25,1,27,1,25,2,26,1,25,1,24,1,25,2,24,2,8,1,24,1,25,1,24,1,25,1,8,1,24,1,9,2,8,2,24,1,13,1,6,2,13,1,6,1,8,1,13,1,6,2,28,1,6,1,29,1,6,5,13,1,6,1,13,1,30,1,29,1,13,1,29,1,13,2,29,2,6,3,30,2,6,1,29,1,6,3,30,1,13,1,6,3,30,1,13,1,29,1,30,1,6,1,29,1,6,2,29,1,30,1,7,1,6,3,30,1,6,1,28,1,6,1,13,1,30,1,29,1,13,1,29,1,13,1,6,1,7,1,6,4,29,1,6,2,30,1,6,2,30,1,6,2,13,1,29,2,13,1,8,1,13,1,6,2,7,1,13,1,6,2,30,1,11,1,17,1,12,1,8,1,13,1,6,4,13,1,6,1,13,1,6,1,13,1,7,1,6,4,29,1,6,3,7,1,6,1,30,1,13,1,6,4,30,1,7,1,6,1,7,1,6,2,13,1,6,1,13,1,28,1,6,2,13,2,6,1,7,1,6,2,30,1,6,2,29,1,6,2,29,1,30,2,29,1,30,2,6,1,30,3,6,2,30,1,6,1,30,1,6,1,28,1,6,1,28,1,30,4,6,1,30,1,6,3,30,1,6,5,13,2,7,1,6,2,30,1,6,1,29,1,6,1,13,1,6,1,13,1,28,1,8,1,30,1,29,2,30,1,6,4,30,1,6,1,30,1,7,1,6,1,29,2,6,1,29,1,13,1,30,1,6,2,29,1,6,2,30,1,7,1,6,2,29,1,30,1,6,2,30,1,6,1,30,2,29,1,30,1,29,1,6,2,30,1,29,1,30,1,29,1,30,2,6,4,29,1,6,1,30,3,29,1,30,1,28,1,7,1,28,1,6,1,30,1,13,1,6,2,29,1,28,1,6,1,29,1,6,1,30,2,28,1,30,2,6,2,30,2,29,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,6,1,13,1,6,2,30,2,6,1,30,3,6,1,29,1,30,3,29,1,6,2,30,3,28,1,29,1,30,2,28,1,30,4,28,1,30,1,29,1,6,2,30,1,6,1,28,2,30,1,29,1,30,1,7,1,29,1,6,1,13,1,6,5,28,1,29,1,28,1,30,1,6,6,30,1,28,1,30,1,29,1,6,3,30,2,13,1,30,1,29,2,7,1,30,1,6,1,30,2,6,3,28,1,10,1,6,2,7,1,30,1,6,1,13,4,6,1,7,1,6,1,13,1,7,1,6,1,29,1,6,1,28,2,6,1,30,2,6,1,29,1,30,1,28,1,30,2,6,1,29,1,6,1,29,1,13,1,6,1,29,1,6,3,29,2,6,3,29,1,6,2,28,2,6,2,30,1,29,1,28,1,30,3,6,1,28,1,30,1,6,2,28,1,30,1,29,1,30,1,28,2,30,1,28,1,30,2,28,1,6,2,28,1,30,3,6,1,30,2,29,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,16,1,8,1,30,5,6,1,30,3,29,1,6,1,30,4,28,2,30,1,28,1,30,1,29,1,28,1,30,2,29,1,6,2,7,1,6,1,30,1,29,1,13,1,7,1,6,2,30,1,6,1,30,1,13,1,29,1,13,3,6,2,30,1,6,2,30,1,6,2,29,1,13,1,6,5,29,1,6,4,13,1,6,2,7,1,6,1,30,2,29,1,30,3,6,1,30,1,29,1,6,2,29,2,6,1,29,1,6,1,30,1,6,2,30,1,29,1,6,4,13,1,6,2,30,1,6,5,30,1,6,3,28,2,29,1,30,1,6,1,30,1,29,1,6,1,28,1,29,1,6,3,29,2,17,1,8,1,30,1,6,1,13,2,6,1,29,1,30,1,6,1,30,5,6,2,29,1,6,5,13,1,6,1,30,1,6,2,30,3,7,1,30,2,6,1,28,1,30,1,6,1,29,1,30,1,29,1,30,2,6,1,29,1,6,1,29,1,6,1,29,1,6,1,29,3,6,2,29,2,30,1,29,3,30,1,13,1,28,1,30,1,13,1,6,1,13,1,29,2,6,3,13,2,29,1,30,1,6,1,29,2,30,1,6,1,29,1,13,1,6,1,28,1,13,1,6,1,30,1,7,3,6,1,29,1,13,1,6,2,30,4,28,1,30,1,28,1,30,2,6,1,29,1,30,1,29,1,30,3,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,29,1,30,1,6,1,30,3,29,1,6,1,30,1,28,1,29,2,28,1,13,1,7,1,28,1,29,1,30,2,7,1,28,1,6,1,29,1,30,1,6,3,30,1,28,1,6,1,29,1,30,1,28,1,29,1,28,1,29,1,30,1,28,1,30,1,6,1,8,1,9,1,6,2,30,2,29,1,6,1,28,2,30,3,28,2,30,1,28,1,30,1,28,2,6,1,30,1,6,1,30,1,29,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,7,1,6,3,7,1,6,2,13,2,30,5,6,1,7,1,6,2,30,3,28,4,30,3,28,1,29,1,13,2,30,1,6,3,30,3,6,4,13,1,6,1,13,1,6,1,30,1,28,1,30,2,28,1,30,2,28,1,29,1,30,2,6,1,30,1,28,1,30,1,29,1,6,1,30,1,29,1,13,4,7,1,13,1,29,1,6,1,28,1,30,1,28,1,30,1,28,10,29,1,13,1,8,1,13,2,6,1,13,2,9,1,13,3,6,1,9,4,13,1,9,2,13,1,9,3,11,1,13,1,9,1,13,1,9,1,13,1,8,1,9,2,11,2,17,7,16,1,17,8,11,1,17,1,12,1,17,1,11,1,17,3,11,3,9,1,17,1,10,1,16,1,17,2,11,2,9,1,11,3,9,1,11,1,10,1,16,1,9,1,11,1,10,1,11,2,6,1,29,2,6,1,30,2,28,2,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,4,28,1,30,1,28,13,30,3,28,3,30,1,28,11,30,1,28,2,30,2,28,3,30,2,28,3,30,1,28,7,30,2,28,1,30,1,28,2,29,1,6,1,30,3,13,1,6,1,29,1,30,2,6,2,29,1,30,1,7,1,6,2,13,1,6,1,13,3,9,1,13,2,7,1,6,1,30,3,28,1,30,4,28,1,6,1,30,1,6,1,29,1,28,1,6,4,13,1,7,1,30,1,6,1,13,1,9,1,29,1,13,1,7,1,13,2,8,1,7,1,13,6,8,1,13,1,8,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,6,4,30,1,6,1,28,1,30,1,6,2,13,5,6,1,13,2,6,1,13,1,8,1,13,2,9,1,13,1,30,2,8,1,13,2,8,1,13,1,8,1,9,2,10,1,17,1,9,1,11,1,10,1,11,1,17,1,10,1,16,4,17,4,16,1,17,5,16,1,9,2,13,5,6,1,13,1,6,2,13,1,6,1,7,1,29,1,6,1,30,1,28,46,13,1,29,3,7,1,6,2,7,1,29,1,6,6,29,1,13,2,10,1,17,3,8,1,28,2,30,1,6,2,28,1,30,1,28,17,30,1,6,1,28,23,30,4,8,2,9,1,13,1,8,1,7,2,6,1,30,1,6,4,30,1,28,13,6,1,30,1,28,6,30,1,28,8,30,1,28,16,6,1,28,1,30,1,28,6,30,1,29,1,30,2,6,1,28,3,30,2,28,1,30,1,28,1,30,2,28,3,30,1,28,4,30,2,6,1,30,1,6,2,29,1,28,8,30,1,28,4,30,1,28,8,30,1,28,8,30,1,28,1,30,1,28,3,30,1,28,1,6,6,28,2,6,1,28,2,6,1,30,1,28,6,30,1,28,7,30,1,28,8,6,1,13,4,9,1,13,2,28,3,30,1,28,2,6,1,30,1,13,1,9,1,7,1,28,16,17,2,16,1,9,1,8,1,9,1,13,3,6,1,30,1,13,1,28,4,30,2,28,1,6,1,29,1,30,1,6,1,29,1,9,3,16,1,11,1,17,2,13,1,28,6,8,1,9,1,8,1,28,42,29,1,13,1,6,1,28,3,13,1,17,2,11,1,13,1,6,1,9,1,13,2,9,1,10,1,11,1,17,3,7,1,28,2,30,1,28,3,8,1,6,1,30,1,28,9,30,1,28,1,30,1,6,1,28,5,}, {17,6,9,2,16,1,7,1,28,5,6,1,24,1,6,1,28,49,30,2,6,2,8,1,10,1,24,1,6,1,30,1,28,1,6,2,9,2,8,1,29,1,13,1,6,1,7,1,6,1,8,1,13,1,6,1,11,1,17,2,12,1,17,1,12,1,16,1,10,1,13,1,29,2,30,1,28,1,6,1,24,2,9,1,13,2,6,1,30,1,9,1,17,3,11,1,17,1,11,1,9,1,10,1,9,1,10,1,17,1,16,1,12,1,17,2,16,1,13,1,6,2,29,1,13,1,8,1,24,1,8,1,13,1,28,36,7,1,6,1,8,1,10,1,9,1,12,1,6,1,13,1,6,1,30,2,28,2,9,1,17,6,16,2,11,1,8,1,9,1,13,1,7,1,6,2,28,1,13,1,6,1,8,1,13,2,9,1,10,1,9,1,11,1,10,1,17,1,11,2,17,2,13,1,28,14,13,1,7,1,29,1,30,2,6,1,29,1,6,2,7,1,6,4,29,1,30,3,28,1,29,1,30,2,6,2,29,1,30,1,6,1,30,1,6,1,30,2,29,1,30,1,29,1,6,1,29,1,30,1,6,2,29,1,28,1,6,1,29,1,6,1,30,3,6,1,30,2,28,1,30,1,6,1,28,1,30,3,6,1,30,2,6,1,30,1,6,1,30,1,6,2,28,2,30,1,28,1,30,2,29,1,28,1,30,3,6,1,28,1,30,1,28,13,30,2,28,1,30,1,28,1,30,2,28,1,30,8,6,1,30,1,6,2,30,4,28,1,29,1,30,3,6,1,30,1,7,1,6,1,30,2,6,1,29,1,30,1,6,1,7,1,30,1,29,1,6,3,29,1,7,2,6,1,13,1,6,1,13,1,29,1,6,3,30,1,6,2,29,1,6,2,29,1,7,1,6,4,13,4,7,1,9,1,7,1,28,1,30,4,6,2,28,1,6,1,30,1,28,1,29,1,30,1,6,1,30,1,6,1,30,2,6,2,28,1,6,1,30,3,28,1,30,6,29,1,28,1,30,2,6,1,28,1,6,1,16,1,8,1,30,1,28,4,30,1,28,1,30,5,28,1,6,1,9,1,17,1,10,1,11,1,12,1,9,3,10,1,8,1,13,1,8,1,13,1,7,1,13,2,9,1,17,1,9,1,6,1,7,2,13,2,6,1,13,1,8,1,13,1,6,1,13,2,9,2,13,1,7,1,13,3,6,1,30,1,13,1,6,1,7,1,13,1,6,2,13,1,6,1,7,1,13,1,6,1,8,1,13,1,7,2,8,1,13,1,6,4,13,1,29,1,13,1,30,1,13,1,30,2,7,1,13,1,6,1,7,1,6,4,30,2,6,1,30,7,28,1,29,1,30,1,6,1,28,1,30,1,28,1,30,4,28,1,6,1,30,2,28,4,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,6,2,7,2,13,1,6,1,13,1,8,1,9,1,8,2,24,1,8,2,9,1,8,3,9,4,10,1,12,1,10,1,12,2,11,1,24,1,9,1,10,1,9,3,8,1,24,1,10,1,9,1,8,2,11,1,8,3,24,1,13,1,8,1,9,1,8,1,9,1,13,1,9,1,8,1,24,1,10,1,24,1,11,1,24,1,9,2,11,1,24,1,10,1,11,1,9,1,8,3,28,3,29,1,28,1,29,3,27,1,29,1,27,2,8,1,25,1,24,1,26,1,25,1,26,2,25,2,27,1,26,1,8,1,25,2,8,3,24,1,25,1,26,1,25,1,26,2,25,1,8,1,27,1,24,1,25,3,24,1,8,1,24,8,8,1,24,1,25,1,27,1,29,3,28,11,30,1,27,4,25,1,27,1,25,1,8,1,25,1,24,2,8,1,25,1,8,1,25,1,27,1,25,2,26,1,25,1,26,1,25,5,27,1,8,1,25,1,24,2,8,1,25,1,8,1,25,2,8,1,24,1,6,1,13,1,7,1,24,1,6,4,7,1,29,1,28,2,8,1,29,1,6,1,29,1,30,2,28,1,6,1,28,1,6,1,29,2,30,1,6,1,30,1,6,3,30,2,29,3,6,2,30,1,29,1,6,2,30,1,29,1,6,1,30,1,6,1,13,1,30,1,6,1,28,1,29,1,7,2,6,5,28,1,7,1,13,1,6,3,29,3,30,1,6,1,29,1,6,3,29,1,6,1,30,3,6,2,30,1,6,2,30,1,6,4,30,1,13,1,6,1,7,1,6,2,13,2,30,1,28,1,6,4,30,1,6,2,13,4,30,2,6,1,30,1,6,1,7,1,6,1,7,2,29,1,6,5,29,2,30,1,29,2,6,1,30,1,6,1,29,1,6,1,29,1,6,6,30,1,6,1,29,1,30,2,6,2,30,1,6,4,7,1,6,1,28,1,6,2,29,1,30,2,6,1,30,1,6,1,30,1,6,1,30,3,29,1,6,1,29,1,30,2,6,1,28,1,6,2,28,1,30,1,6,2,30,1,6,2,29,2,30,1,13,1,6,2,7,1,30,1,6,1,29,1,6,1,30,1,8,1,7,1,29,1,28,1,7,1,9,1,28,1,30,4,6,1,30,2,6,1,29,1,30,1,6,2,29,1,7,1,6,1,7,1,29,1,30,1,6,2,29,1,7,1,6,1,29,1,6,1,13,1,6,1,30,1,29,1,6,2,29,2,28,1,6,1,30,1,6,1,30,2,6,1,29,1,30,3,29,1,6,1,29,1,6,1,30,1,6,1,30,2,29,1,30,1,29,1,6,1,30,1,29,2,6,2,30,1,29,1,6,1,13,1,30,1,29,1,6,1,29,1,30,1,29,1,30,7,6,1,30,3,6,1,29,1,6,1,28,1,30,2,6,1,30,3,7,1,30,8,29,1,30,2,6,2,30,1,28,1,6,1,28,1,30,1,28,5,30,4,29,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,29,1,30,2,6,4,13,1,6,1,13,1,6,1,30,1,6,1,29,1,30,2,29,1,30,1,6,2,29,1,30,2,29,1,30,1,13,1,6,3,29,1,6,1,28,1,6,1,30,1,6,1,28,1,6,1,30,2,29,1,30,2,6,1,13,2,6,2,13,2,29,1,7,1,6,2,13,1,6,1,13,1,30,1,6,2,29,1,6,1,13,1,30,3,29,1,30,4,29,1,30,1,6,8,13,2,6,1,29,1,30,1,6,1,30,2,6,1,7,1,13,1,29,1,6,1,30,1,29,3,28,1,6,1,30,1,28,1,29,1,30,1,29,1,30,1,28,1,30,6,28,2,30,1,28,1,30,3,28,1,30,1,6,1,30,1,28,1,30,1,29,1,30,1,29,1,6,2,30,3,28,1,17,1,13,1,30,1,28,1,29,2,30,3,28,1,6,1,30,1,28,1,30,1,28,2,30,4,29,1,28,1,30,3,6,2,7,1,30,1,6,1,13,1,6,5,29,1,6,2,13,1,6,1,30,2,6,1,13,1,6,2,13,1,30,1,13,1,6,1,29,1,13,1,30,1,7,1,13,1,6,1,13,1,6,1,13,1,29,1,6,2,13,1,6,4,30,1,6,4,30,1,6,1,29,1,6,1,30,2,6,1,29,1,30,4,6,1,29,1,6,1,28,1,30,3,6,1,29,5,30,3,6,1,29,1,6,2,30,1,29,1,28,1,6,3,29,1,28,1,30,2,29,1,30,2,6,1,29,1,28,1,6,1,28,1,9,1,17,1,28,1,30,1,28,1,30,1,6,1,29,2,6,1,30,2,6,2,30,2,29,1,30,1,29,1,6,1,28,1,6,1,30,1,13,1,30,1,6,1,30,1,28,1,6,1,30,1,29,1,30,1,29,1,28,1,9,1,29,1,30,3,6,1,29,1,30,6,6,1,28,1,6,1,30,3,29,3,30,1,6,4,13,1,28,1,30,1,6,3,13,1,6,2,30,1,6,3,29,1,30,1,7,1,30,1,29,1,6,4,7,1,6,4,13,1,7,1,6,4,29,1,6,1,29,1,30,1,6,3,29,2,6,3,30,4,29,1,6,4,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,1,30,3,6,1,30,1,13,1,7,1,13,1,30,2,28,1,29,1,28,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,29,2,30,1,6,3,30,3,6,1,28,2,6,1,30,2,29,1,30,1,28,1,17,1,9,1,6,1,7,1,30,1,7,1,30,1,6,1,28,1,30,6,28,2,30,2,13,1,6,2,7,1,6,1,30,1,6,1,29,1,30,2,6,1,30,2,29,1,28,1,30,1,6,1,13,1,30,1,6,1,13,2,6,1,30,2,6,1,29,1,6,1,30,1,6,2,13,1,6,1,30,4,6,2,30,1,6,1,13,1,6,1,13,1,28,2,29,2,28,1,29,1,6,1,13,3,7,1,29,1,8,1,13,1,6,1,29,1,30,1,28,1,6,1,28,2,30,1,6,1,28,2,30,2,29,1,30,1,13,1,29,2,6,1,29,1,30,1,13,6,6,1,29,1,6,1,30,1,28,2,30,1,28,9,30,1,7,1,6,1,9,1,6,1,8,1,9,1,13,1,8,1,13,3,8,1,13,2,8,2,13,5,8,1,13,1,9,1,13,3,9,1,8,1,9,3,11,1,10,1,11,2,17,2,11,1,17,10,11,3,17,1,11,1,10,1,17,1,10,1,17,1,11,2,17,1,16,1,11,1,17,1,10,1,17,1,9,2,10,1,11,1,9,1,11,1,10,1,16,1,12,1,11,3,9,1,11,2,9,1,16,1,7,1,30,1,6,1,29,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,4,28,2,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,9,30,4,28,3,30,1,28,6,30,1,28,3,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,13,30,1,28,1,30,1,6,1,13,1,6,1,28,1,29,1,28,1,6,1,30,2,6,3,29,1,13,1,6,3,13,1,7,1,13,5,6,1,7,1,6,1,30,2,29,1,28,1,6,1,30,3,6,1,29,1,6,3,13,1,6,2,7,1,13,1,6,1,13,1,9,1,7,1,13,5,8,2,13,1,7,1,13,2,8,1,13,2,6,1,13,2,6,1,7,1,6,1,7,1,30,4,29,1,30,1,6,2,30,1,28,1,30,1,6,1,29,1,6,2,7,1,13,3,9,1,13,2,9,3,8,1,11,2,9,1,11,1,9,3,11,2,9,1,8,1,11,1,9,1,10,1,11,2,17,1,9,1,12,1,11,1,16,3,11,2,16,1,11,1,17,5,11,2,10,1,13,1,7,1,13,1,7,1,6,1,13,1,6,2,7,2,29,1,6,1,29,1,30,2,28,46,13,1,6,1,29,1,6,2,29,2,6,2,7,1,6,1,30,1,6,2,28,1,6,1,7,1,11,1,13,1,17,3,13,1,28,2,6,1,29,1,30,1,28,10,30,1,28,7,30,1,28,1,30,2,28,11,30,1,28,13,30,1,9,2,8,1,13,3,7,1,13,2,6,2,30,1,6,1,28,9,30,1,28,3,30,1,6,1,30,1,28,2,30,1,28,22,30,1,28,6,6,1,28,3,30,1,28,2,30,3,6,1,30,1,28,2,30,1,28,1,30,4,28,1,30,4,28,1,30,8,28,1,30,1,28,3,30,1,28,3,30,2,28,3,30,1,28,6,30,1,28,1,30,2,28,1,30,2,28,6,30,1,28,2,30,1,28,8,6,1,13,1,30,4,28,1,30,1,28,1,30,1,6,1,28,22,30,1,13,1,7,2,6,1,13,4,6,1,28,2,30,1,28,2,30,2,6,1,8,1,6,1,28,16,17,2,16,1,8,1,13,1,8,3,6,1,8,1,6,1,29,1,30,1,28,4,30,1,6,1,28,1,6,3,29,1,9,1,11,2,16,1,11,1,17,2,9,1,28,5,30,1,13,1,8,2,28,42,7,2,30,1,28,2,30,1,13,1,17,2,9,1,7,1,13,1,9,2,13,1,7,1,8,1,17,1,16,1,17,2,6,1,28,5,30,1,8,1,29,1,28,9,30,2,28,1,6,1,28,6,}, {17,7,9,1,13,2,29,1,28,1,6,1,28,3,9,1,6,1,28,8,6,1,28,26,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,2,6,1,29,1,30,1,6,3,8,1,24,2,6,1,30,1,29,1,30,1,6,1,8,1,12,1,8,1,29,1,7,1,30,1,7,1,30,1,29,1,30,1,9,2,16,1,12,1,17,2,16,1,10,1,12,1,13,1,30,3,28,1,7,1,24,1,13,1,24,1,13,5,17,4,16,2,11,2,10,1,9,1,10,1,17,1,12,1,17,3,6,1,28,1,6,1,30,1,8,1,13,1,7,1,13,1,8,1,28,29,30,1,28,6,7,1,6,1,13,1,9,1,12,1,17,1,13,1,6,1,30,2,28,2,30,1,9,1,17,6,16,2,11,2,8,2,9,1,29,1,28,1,6,1,13,1,7,1,24,1,8,1,12,1,13,1,24,1,10,1,11,1,12,1,16,1,11,1,17,3,6,1,28,14,6,2,30,1,6,1,30,1,6,4,7,1,6,1,29,1,6,1,30,6,29,1,28,1,6,1,29,1,30,2,29,1,13,1,28,1,7,1,6,2,29,1,6,1,30,1,29,1,6,1,30,3,6,1,30,2,29,2,28,1,6,1,28,1,6,1,30,1,28,1,6,1,28,1,29,1,30,1,6,1,28,1,6,1,28,1,30,2,28,1,30,2,6,1,30,1,6,1,30,1,29,3,28,1,30,2,6,2,30,1,28,1,30,1,28,11,6,1,30,2,29,1,28,3,30,2,28,2,30,1,29,1,30,1,6,1,28,1,30,6,28,1,30,1,6,1,29,1,30,2,6,1,30,4,6,1,28,1,30,1,28,1,30,2,6,1,30,1,6,3,29,1,6,2,29,1,6,1,30,1,6,4,7,1,6,2,13,2,7,1,6,2,30,3,6,1,28,1,30,2,6,6,8,1,13,2,7,1,6,1,28,1,30,1,29,1,13,1,30,1,6,1,29,1,30,2,29,1,30,3,28,1,30,1,6,2,29,1,6,1,30,2,29,1,28,1,30,1,6,1,30,3,29,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,29,2,11,1,8,1,29,1,28,6,30,3,28,2,13,1,9,1,11,3,9,1,10,1,8,1,9,1,8,1,13,1,8,1,9,1,13,1,8,2,13,1,8,1,11,1,24,1,13,8,8,1,6,1,13,1,6,1,13,1,9,2,13,2,7,1,6,1,13,1,7,1,6,1,13,2,6,3,7,1,13,3,6,1,13,3,6,1,13,3,6,2,7,2,6,5,13,2,29,1,7,1,29,1,6,4,30,5,6,1,30,2,28,1,30,1,28,2,30,2,28,1,30,4,28,1,30,2,28,1,30,4,29,1,6,1,28,1,6,1,30,2,6,7,13,2,7,1,13,1,8,1,9,2,8,1,13,3,24,2,13,1,10,1,9,1,24,1,8,1,24,1,10,1,12,1,9,1,10,1,12,1,10,1,9,1,10,1,8,1,12,1,8,1,9,1,24,1,8,1,9,2,8,2,24,1,8,1,24,2,9,1,8,1,9,1,24,1,8,2,24,2,9,1,24,2,9,1,10,2,24,1,9,1,11,1,9,2,11,1,10,1,9,2,13,1,6,1,28,2,6,1,29,2,6,1,26,4,25,2,24,1,25,1,24,1,8,1,26,1,25,1,26,1,8,1,25,1,27,1,25,1,26,2,8,1,25,1,8,1,25,2,26,2,27,1,8,2,27,1,25,2,24,2,8,1,24,2,8,1,25,1,26,1,24,1,8,1,24,3,25,2,24,1,27,2,28,1,30,2,28,8,30,1,28,1,29,2,30,1,25,1,27,3,25,1,24,2,25,1,24,3,8,1,24,1,27,1,26,2,25,2,24,1,25,1,27,1,25,6,24,1,8,1,25,1,24,1,8,3,25,3,8,1,7,1,13,2,7,4,29,1,6,1,13,1,30,1,13,2,29,2,6,1,29,3,6,2,29,3,6,3,30,1,29,1,6,1,28,2,6,2,29,3,30,2,28,1,30,1,29,1,28,1,30,4,28,1,29,1,6,4,7,1,13,1,29,1,6,1,13,1,6,3,13,1,6,1,13,1,29,2,6,1,30,1,6,8,29,1,6,1,29,1,7,1,13,2,6,1,30,1,6,1,7,1,29,1,13,2,6,1,13,3,28,1,6,1,30,2,29,1,30,1,6,1,30,1,6,1,28,1,6,4,7,1,6,2,30,3,6,1,30,1,6,1,28,1,13,1,7,1,6,3,7,1,6,2,29,1,6,2,29,1,30,1,29,2,6,1,29,2,6,3,30,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,29,1,6,1,30,1,29,1,30,1,6,1,30,1,28,3,29,1,6,2,30,4,28,2,30,1,7,1,6,1,28,1,6,2,30,1,13,1,29,1,6,4,30,1,6,2,29,2,30,1,6,2,7,1,30,1,6,2,28,1,6,1,13,3,30,2,6,1,13,2,7,1,30,3,28,1,6,3,29,1,6,4,30,1,29,1,6,1,30,1,6,4,29,2,13,1,29,1,6,2,30,1,6,2,30,1,6,2,29,2,30,2,6,1,28,1,6,2,29,1,6,1,13,1,6,1,30,1,29,1,30,1,29,1,6,2,29,1,28,1,6,1,30,1,6,1,30,2,6,2,28,1,30,2,28,1,30,1,7,1,6,1,30,2,29,1,30,1,29,1,30,1,29,1,6,2,30,1,6,1,30,3,6,1,28,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,28,1,29,2,30,1,6,1,29,1,30,1,29,1,6,1,28,1,30,6,29,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,29,1,30,4,28,1,30,1,29,1,30,3,29,1,28,1,30,2,6,1,30,1,6,5,30,1,6,1,29,1,6,3,28,1,30,1,6,2,30,1,29,1,30,1,7,1,6,2,30,1,29,2,6,4,7,1,30,1,28,1,6,1,29,3,6,2,13,1,6,1,29,1,6,1,13,2,6,3,13,1,7,1,6,3,13,1,6,1,29,1,6,2,13,1,29,1,30,1,28,1,30,2,29,1,28,1,6,1,30,1,29,1,6,1,28,1,29,1,13,3,6,3,29,1,13,3,6,3,30,1,7,1,6,6,30,1,6,1,29,1,6,1,30,1,29,1,28,1,30,2,29,1,6,1,30,3,28,1,30,4,28,2,30,7,6,1,29,1,30,2,6,2,29,1,6,2,30,1,28,1,9,1,17,1,29,1,30,1,29,1,6,2,29,3,30,1,29,1,6,1,28,2,6,1,29,2,30,3,29,1,30,3,6,1,29,1,6,2,29,1,7,1,6,3,30,1,6,2,30,1,6,1,13,1,7,1,13,1,6,1,13,1,30,1,6,1,7,1,13,1,6,4,13,1,6,1,29,1,6,1,13,1,6,1,30,2,13,1,29,2,6,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,7,1,6,2,30,2,6,3,29,1,6,1,28,1,30,1,6,1,30,1,6,1,29,2,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,2,30,1,6,1,30,4,6,1,30,1,6,1,30,3,28,1,30,1,7,1,6,1,29,3,6,2,29,1,6,1,28,1,6,1,28,1,30,1,17,1,8,1,28,1,30,6,29,1,28,1,30,1,29,1,6,2,29,1,30,1,6,1,30,1,6,4,28,1,6,1,28,1,13,1,29,1,30,3,6,1,30,1,13,1,6,2,30,2,29,1,30,1,29,1,30,1,28,1,6,1,30,1,6,1,30,2,6,2,30,1,6,3,30,1,6,2,30,1,6,1,13,1,6,1,7,1,6,4,7,1,13,1,6,4,13,1,7,1,29,1,6,5,30,1,13,1,30,1,6,3,7,1,6,1,7,1,6,1,30,1,29,1,6,3,30,1,29,1,30,3,29,1,28,1,30,1,29,1,6,1,30,1,6,6,30,3,29,2,6,1,29,1,28,1,6,1,30,3,6,4,30,1,6,2,30,1,29,2,30,1,6,1,30,1,6,2,29,1,6,3,29,2,30,1,29,1,7,1,30,1,7,1,30,1,6,2,30,1,7,1,6,1,13,1,30,1,29,1,30,1,29,1,6,1,30,2,17,1,29,1,6,1,13,1,6,1,30,1,28,1,7,1,30,1,13,1,6,1,28,2,29,2,30,1,29,1,28,1,6,2,13,1,6,1,29,1,30,1,13,1,30,1,6,1,30,1,29,1,30,3,28,1,29,1,30,1,6,4,13,1,9,1,13,1,6,2,29,1,6,1,30,2,6,2,30,1,28,1,30,2,28,1,29,2,6,2,29,1,6,1,13,1,28,1,6,1,28,1,30,1,6,2,13,1,28,1,6,3,13,2,8,1,6,2,29,1,6,1,29,1,28,1,30,2,28,1,30,4,29,1,6,1,29,1,30,3,6,2,30,1,13,2,7,1,13,3,6,3,29,1,30,1,28,12,6,1,13,2,6,2,9,1,8,1,13,1,9,1,13,4,9,4,13,3,8,1,13,1,9,1,13,1,8,1,9,4,8,1,9,1,13,1,11,2,10,1,16,1,17,1,12,2,17,1,12,1,17,2,16,1,17,4,11,2,10,1,11,5,16,1,11,1,9,1,17,2,16,1,17,1,11,1,9,1,17,1,11,3,9,2,10,1,9,1,11,3,8,1,9,1,11,2,9,2,11,1,9,1,30,1,6,1,30,1,28,10,29,1,28,1,29,1,28,2,30,2,6,1,30,1,28,3,30,1,28,3,29,1,28,3,30,1,28,2,30,2,28,3,30,1,28,12,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,9,30,1,28,14,30,2,13,1,30,1,28,1,6,1,30,1,29,1,30,1,6,2,28,1,30,2,6,1,29,1,30,1,29,1,6,2,13,4,8,3,13,2,30,1,6,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,7,1,6,1,13,1,6,1,13,1,8,1,9,1,13,2,9,2,13,1,8,1,13,1,8,4,13,1,9,1,8,1,9,2,13,1,9,1,13,1,7,1,13,1,7,1,6,1,7,1,30,1,7,1,13,3,6,1,7,1,13,1,6,1,13,1,30,1,13,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,13,4,8,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,9,8,10,1,9,2,17,1,10,1,12,1,10,1,11,3,16,2,17,7,11,1,10,1,9,1,13,1,7,2,13,1,30,1,7,1,6,6,29,1,30,1,28,1,30,1,28,37,30,1,28,3,30,1,13,2,6,4,30,3,6,3,7,1,6,3,30,1,7,1,6,1,13,1,11,1,9,1,11,1,17,2,13,1,28,2,6,2,30,1,28,21,6,1,28,6,30,1,28,16,30,1,28,1,30,1,13,1,6,1,9,2,8,1,13,1,6,1,7,1,13,1,6,3,30,2,28,13,6,1,28,14,30,1,28,8,30,1,28,9,30,2,28,5,30,2,6,1,30,1,29,1,28,1,30,1,28,1,30,2,28,3,29,1,30,1,28,1,30,1,7,1,28,1,30,1,28,1,30,4,6,1,30,1,28,2,30,3,28,1,30,1,28,4,30,1,28,8,30,2,28,3,30,1,28,2,30,4,28,3,30,1,28,9,30,1,29,1,30,1,6,1,13,1,30,1,28,2,30,5,28,1,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,4,30,1,13,2,6,3,13,3,6,1,30,2,28,1,30,1,28,3,7,1,9,1,28,16,13,1,14,1,17,1,16,1,8,2,6,1,8,2,6,1,29,1,13,1,29,2,28,9,7,1,6,1,13,1,11,1,9,1,10,1,11,1,17,2,13,1,28,5,6,1,13,2,6,1,30,1,28,41,13,1,7,1,28,4,9,1,17,2,16,1,8,1,13,5,8,1,11,1,16,1,17,2,6,1,28,6,8,1,7,1,28,12,6,1,28,6,}, {17,6,11,1,16,1,8,2,28,5,30,1,8,1,13,1,28,7,30,1,28,28,30,1,28,7,30,1,28,1,29,1,30,2,28,1,29,1,6,1,7,1,8,1,9,2,6,1,7,1,13,1,28,1,6,1,7,1,9,1,8,1,7,1,13,1,6,4,13,1,8,1,10,1,17,1,11,1,17,1,16,1,17,2,12,1,13,1,6,1,28,3,13,1,24,2,13,1,29,1,13,1,7,1,6,1,8,1,17,4,16,2,11,1,9,3,17,2,16,1,17,3,8,1,7,1,30,1,6,3,8,2,29,1,28,36,6,1,9,1,8,1,13,1,10,1,12,1,9,1,30,1,28,1,6,1,30,2,28,1,10,1,17,6,16,1,9,1,10,1,9,1,13,3,8,1,28,1,6,1,13,1,7,1,8,1,9,1,10,1,24,1,11,3,9,1,17,1,16,2,17,2,7,1,28,14,30,1,6,2,28,1,6,6,30,1,29,1,6,3,30,2,28,1,30,3,6,1,30,1,6,1,28,2,30,1,6,1,30,2,7,1,13,1,6,1,29,1,6,1,30,2,29,1,30,1,29,1,30,1,6,1,28,1,30,1,29,2,30,3,28,2,6,1,30,1,28,1,30,2,28,1,30,2,6,1,30,1,6,1,30,2,6,1,28,3,30,1,28,1,30,1,6,1,28,1,30,2,28,13,6,2,29,1,30,1,28,1,29,1,30,1,29,1,30,2,28,2,30,2,28,1,30,3,28,1,30,2,28,1,6,1,30,1,6,1,28,1,30,2,6,1,30,2,29,1,28,1,30,4,6,1,30,3,6,3,9,1,13,1,6,2,30,2,29,1,6,3,13,1,30,1,7,1,13,1,29,1,13,1,6,1,13,1,30,1,29,2,30,3,29,2,7,1,30,1,6,2,13,1,7,1,13,1,8,1,9,1,8,1,30,1,6,1,30,6,29,1,28,1,29,1,28,1,30,1,28,1,7,2,30,1,29,1,6,1,7,1,6,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,5,28,1,30,3,29,1,8,1,9,1,13,1,30,2,28,1,30,1,28,3,30,2,28,2,6,1,13,1,11,4,12,1,13,1,9,3,8,1,9,1,13,1,8,2,13,2,11,2,8,1,13,2,7,1,8,1,7,1,6,1,13,2,7,2,13,1,8,1,13,1,9,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,6,1,7,1,6,2,29,1,6,1,13,3,6,1,7,2,29,2,7,3,13,3,7,2,6,1,13,1,6,2,7,2,6,1,29,1,6,3,30,1,6,1,30,2,28,1,30,2,28,1,30,5,28,1,30,3,28,1,29,1,30,1,6,1,28,1,29,1,30,1,28,1,30,1,28,2,7,1,30,1,6,1,29,1,30,1,7,1,29,1,30,1,7,1,6,1,13,1,6,1,7,1,8,1,13,1,8,1,13,1,24,1,8,4,13,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,10,1,9,3,12,1,10,1,12,3,24,2,9,1,24,1,9,1,8,1,13,1,8,1,9,2,13,1,8,4,9,1,8,2,9,2,8,1,9,1,8,1,24,1,9,1,8,2,9,1,8,1,11,1,8,1,11,1,8,1,9,3,6,1,29,1,30,4,6,1,29,1,27,1,26,1,25,2,26,1,25,1,24,1,25,1,24,1,8,2,25,2,24,1,25,2,8,1,26,1,25,3,26,2,25,1,8,1,26,1,25,3,27,1,24,6,25,1,24,6,8,1,24,2,8,1,27,3,30,1,29,2,30,1,28,7,30,1,28,1,30,1,27,1,29,2,26,1,27,2,25,1,24,1,8,1,24,1,15,1,24,2,25,1,26,1,8,1,27,1,24,1,26,1,25,4,26,1,8,1,26,1,27,1,25,2,24,1,8,1,24,2,25,1,24,1,8,1,25,1,8,1,13,1,6,2,7,1,13,2,6,1,30,1,7,1,6,1,7,1,30,1,6,2,13,1,6,1,13,1,6,3,30,1,6,3,30,1,6,2,29,1,6,1,30,1,6,1,30,6,28,1,6,1,30,1,6,1,29,1,7,1,6,1,30,2,6,1,30,1,13,1,29,1,6,1,13,1,6,1,13,1,30,1,6,1,7,1,6,1,13,1,7,1,6,4,28,1,6,1,29,2,13,1,29,1,7,1,30,1,6,1,30,1,6,7,29,1,6,1,30,2,29,1,6,1,30,1,6,4,30,1,29,1,30,1,9,1,6,2,30,1,6,1,29,1,30,1,6,2,29,1,6,1,30,2,6,1,30,4,9,1,11,1,13,1,6,1,29,1,30,3,6,1,13,1,29,1,7,1,13,1,6,3,30,1,29,2,30,2,29,1,30,1,6,1,30,1,29,2,6,3,30,3,29,1,6,1,30,2,6,2,28,1,30,2,6,1,30,1,28,1,30,1,29,1,6,1,30,4,28,1,30,1,29,1,6,3,29,1,30,1,7,1,29,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,2,28,1,6,2,29,2,6,5,13,1,6,2,30,1,6,1,29,2,6,1,29,3,6,1,29,1,30,1,6,2,29,1,6,1,30,1,6,2,30,1,6,2,28,1,6,3,13,1,30,1,6,1,30,2,6,4,29,1,30,1,6,1,28,2,6,3,30,1,6,3,30,1,6,1,29,1,30,2,6,1,30,1,6,1,29,1,30,1,28,1,6,2,29,1,6,2,29,1,13,1,28,1,30,1,6,1,29,1,6,2,13,1,29,1,6,1,30,1,29,1,30,1,29,1,30,3,6,2,29,1,6,1,29,1,30,2,6,1,30,4,29,1,30,3,6,1,30,2,28,1,30,1,6,1,29,1,30,1,28,1,30,2,28,3,30,1,6,1,30,3,28,1,30,1,28,3,30,2,28,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,28,1,13,1,6,4,13,1,30,2,29,1,30,1,6,1,30,1,6,1,29,1,30,4,28,1,30,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,2,6,3,28,1,30,1,6,2,7,1,6,6,29,1,6,1,29,1,8,1,30,1,13,2,8,1,13,1,6,5,30,1,6,1,30,2,29,1,6,1,30,1,29,1,6,1,30,1,28,1,6,1,30,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,7,1,6,2,13,2,6,2,30,1,6,1,30,1,6,2,7,1,6,3,29,1,6,1,30,1,6,3,30,1,13,1,30,2,6,2,30,3,29,1,30,2,28,2,30,1,29,1,13,1,28,1,6,1,28,1,30,2,29,1,28,1,30,2,28,1,30,1,29,1,30,1,29,2,13,1,6,1,28,1,10,1,13,1,6,1,29,1,6,1,29,1,6,1,29,1,6,2,30,2,28,1,6,2,28,1,30,3,28,1,29,2,6,1,30,4,13,1,7,1,6,2,13,1,7,1,6,6,30,1,13,4,6,1,13,2,7,1,30,1,7,1,13,1,7,1,6,1,13,1,6,5,13,1,6,1,13,2,30,1,6,3,7,1,6,1,13,1,29,1,6,3,30,1,6,1,30,2,29,1,6,1,28,1,29,1,6,2,29,1,30,1,6,1,30,2,6,1,29,1,30,2,29,1,6,1,29,1,30,1,6,1,30,1,29,1,30,1,6,2,28,1,6,4,29,1,6,3,30,1,29,1,6,4,30,1,6,1,30,1,6,1,13,1,6,1,28,1,17,1,8,1,28,1,30,2,28,1,30,2,6,1,29,1,28,1,6,1,30,2,7,1,30,2,6,2,28,1,30,1,29,1,30,1,6,1,30,1,6,1,29,1,6,3,29,2,13,1,7,1,29,1,6,1,30,1,6,2,30,1,6,1,29,1,30,1,6,1,30,1,6,1,29,1,6,1,29,1,30,5,6,1,30,1,6,2,30,1,6,3,30,1,6,2,7,3,29,1,6,2,13,2,29,1,6,1,29,1,13,1,30,1,29,2,6,2,13,1,30,1,13,1,6,1,13,1,6,1,7,1,6,2,29,1,30,1,6,4,30,1,29,1,30,1,29,1,30,1,6,2,29,1,30,3,6,1,30,2,29,1,30,1,6,1,30,4,29,1,13,1,6,2,13,1,6,1,30,1,6,2,30,1,29,1,30,2,7,1,6,2,30,1,29,2,30,3,6,1,29,1,6,1,30,1,6,2,13,1,6,1,30,1,29,1,30,1,6,2,30,1,29,1,30,1,6,5,30,1,29,1,30,1,12,1,13,1,30,1,9,1,6,1,7,1,6,1,29,1,7,2,8,1,6,1,30,6,7,2,6,1,13,1,6,1,7,1,6,1,28,1,13,1,6,1,30,1,6,2,30,1,29,1,30,1,6,1,29,2,7,1,6,2,13,1,7,1,6,1,30,2,6,1,30,2,13,1,7,1,28,1,7,1,30,1,6,2,28,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,13,2,8,1,13,4,30,1,29,1,6,1,29,2,13,1,28,1,29,1,30,1,6,4,30,1,6,1,29,1,30,1,13,2,6,2,13,1,7,1,6,1,13,1,28,1,6,1,30,1,13,1,7,1,6,1,28,1,30,1,28,6,30,1,28,3,7,1,13,5,9,1,13,1,8,1,13,1,7,1,13,1,8,1,13,1,9,1,11,1,13,5,8,1,13,1,8,1,9,1,13,1,9,2,11,1,13,1,10,1,8,1,9,2,17,1,11,1,9,1,17,1,12,1,11,1,17,8,11,1,16,1,11,2,10,1,17,1,11,5,16,1,17,1,16,1,17,3,9,1,11,1,9,2,11,1,9,1,10,1,11,1,17,1,9,1,11,2,9,3,10,1,9,1,16,1,13,1,30,1,29,1,6,1,30,1,28,10,30,1,28,1,30,1,28,1,30,4,28,7,30,1,28,4,30,1,28,2,30,1,28,3,30,1,28,3,30,1,28,5,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,6,30,2,28,2,13,1,30,2,6,1,29,1,30,3,28,1,6,2,30,3,29,1,6,1,13,1,30,1,7,1,29,1,13,2,7,1,13,2,8,1,13,1,9,1,8,1,13,1,30,1,6,2,7,1,6,1,13,3,6,1,13,1,6,1,13,2,9,2,13,1,8,1,10,1,17,1,8,1,9,1,8,1,13,3,8,1,13,1,8,1,7,1,8,1,7,1,8,1,9,1,13,1,8,1,9,1,13,1,8,1,13,5,8,1,13,2,9,1,13,4,6,1,13,1,6,2,30,1,6,6,30,1,6,2,30,1,13,1,6,1,13,7,8,2,9,1,8,1,9,2,8,1,9,1,11,1,17,1,11,4,10,1,17,9,12,1,9,2,13,1,7,2,13,3,6,5,29,1,30,1,28,2,30,1,28,37,30,1,6,1,28,1,7,1,13,3,30,1,29,1,28,1,30,2,28,1,30,1,6,1,29,1,6,2,7,1,6,3,13,4,10,1,16,1,17,2,13,1,28,1,30,4,28,1,30,1,28,1,30,1,28,9,30,1,28,7,6,1,28,3,30,1,28,2,30,1,28,11,30,1,28,6,29,1,9,3,8,1,13,2,8,1,6,1,13,1,29,2,30,4,28,11,30,1,6,1,28,34,30,1,28,7,6,1,30,1,6,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,29,1,6,1,28,2,30,1,28,2,6,1,28,1,29,2,28,1,30,1,28,3,30,1,28,7,30,1,28,3,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,3,28,2,30,1,28,10,29,1,6,2,30,3,28,1,30,2,28,4,30,1,28,17,30,2,9,1,7,1,13,1,6,1,13,1,7,1,13,1,7,1,13,1,30,2,28,3,30,1,29,1,7,1,8,1,28,16,13,1,17,2,11,1,8,1,13,1,8,1,13,1,6,1,8,1,6,1,29,1,6,1,28,10,30,1,29,1,8,1,9,1,10,1,11,1,8,1,17,2,7,1,28,6,9,1,8,1,13,1,28,42,6,2,29,1,30,1,28,2,11,1,17,2,16,1,13,4,8,2,9,1,10,1,16,1,17,2,30,1,28,6,7,1,13,1,28,9,29,1,28,1,30,1,6,1,28,1,30,1,28,4,}, {17,6,16,2,9,1,13,1,30,1,28,1,30,1,28,3,10,1,7,1,28,36,29,1,28,7,6,1,28,1,6,1,30,1,6,2,29,1,13,2,6,1,9,1,11,1,13,1,6,4,7,1,11,1,9,1,29,1,6,5,7,1,8,1,10,1,11,1,17,4,16,1,9,1,13,1,6,1,28,2,6,1,8,1,13,1,24,1,13,1,7,4,9,1,17,4,16,2,9,1,11,2,9,2,17,1,11,1,16,1,17,2,13,1,6,1,13,2,7,1,6,1,13,1,7,1,8,1,28,36,29,1,8,1,6,1,8,1,11,1,9,2,30,1,6,1,28,4,9,1,17,5,11,1,16,1,11,1,9,1,11,1,9,2,7,1,30,3,7,1,8,2,24,2,8,1,10,2,17,1,11,2,9,1,11,1,17,2,8,1,28,14,30,1,13,1,6,3,29,1,13,1,6,4,7,1,6,2,7,1,30,5,6,1,30,4,6,1,30,2,29,1,6,2,30,3,6,5,30,2,28,1,30,6,6,1,30,3,28,2,30,2,6,1,28,1,30,1,28,1,29,1,30,3,28,1,6,1,30,1,29,1,6,1,28,3,30,2,28,11,30,3,6,1,30,5,28,2,30,4,28,1,30,1,6,1,30,1,6,1,30,2,29,1,30,4,6,1,30,1,7,1,28,1,29,2,6,1,28,1,6,2,30,1,6,1,30,1,28,1,6,1,30,1,29,1,30,1,6,1,13,1,11,1,9,1,30,1,6,2,30,1,6,1,29,1,6,1,30,1,6,2,29,1,13,1,29,1,7,1,6,2,7,1,6,1,30,3,29,1,6,4,30,1,7,1,13,3,8,1,9,2,30,2,6,3,29,2,30,5,13,1,6,1,30,1,6,1,30,3,28,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,30,4,29,1,6,1,30,1,28,1,6,3,30,1,29,1,30,1,13,1,9,1,13,1,30,2,28,1,30,1,28,6,30,1,13,1,9,2,17,1,11,1,10,1,9,1,24,1,9,1,8,1,10,1,9,1,8,1,13,1,8,1,9,1,13,1,10,1,17,1,24,1,13,3,7,2,13,6,6,1,9,1,13,3,6,2,13,3,6,1,13,1,6,1,7,2,6,2,29,1,7,2,8,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,3,29,1,7,1,6,1,7,2,6,2,7,1,6,7,30,1,6,1,30,3,29,1,30,3,28,1,30,2,6,1,29,1,28,1,29,1,6,1,30,2,28,1,30,2,6,1,30,1,29,3,28,1,30,1,13,1,7,1,28,1,30,1,7,1,6,2,7,1,6,1,7,1,13,4,8,1,10,1,8,1,13,5,24,1,8,1,10,1,24,2,8,1,9,1,10,1,8,1,9,1,10,2,12,2,10,1,9,1,8,1,24,1,13,1,24,2,8,2,13,1,10,1,8,3,9,2,8,1,9,1,13,1,9,1,24,3,9,6,24,1,9,2,13,1,9,2,13,1,30,1,28,1,29,1,30,1,28,2,6,1,29,1,27,1,26,1,27,1,25,1,26,1,24,1,26,1,24,3,25,1,26,1,8,1,25,1,8,1,24,2,8,1,26,1,8,1,25,1,8,2,25,1,8,1,25,1,8,1,25,2,24,1,8,1,24,1,8,1,24,3,8,1,24,7,8,1,24,3,29,1,27,1,28,1,29,1,28,6,30,1,28,4,27,6,25,2,24,2,8,1,25,2,24,1,8,1,25,1,26,3,25,3,24,1,27,1,25,3,24,3,25,1,24,2,25,1,24,1,25,1,27,1,25,1,26,1,6,1,29,1,13,1,29,2,7,1,30,3,28,1,6,1,13,1,29,1,6,2,7,1,6,2,29,1,30,1,29,2,6,1,29,1,7,1,6,2,30,1,29,1,28,1,29,1,30,1,28,1,6,2,13,1,6,2,30,1,29,1,6,1,29,1,30,1,6,1,30,1,6,2,30,1,13,1,6,1,7,1,29,1,6,1,7,1,6,2,7,1,6,3,7,1,6,1,30,1,13,2,6,3,29,3,30,3,29,1,30,1,6,1,28,1,6,1,30,2,29,2,30,1,6,2,30,4,6,1,29,1,6,1,7,1,30,1,6,2,13,1,6,1,29,1,6,2,30,1,29,2,28,1,30,2,6,1,28,1,13,1,30,1,6,1,30,2,13,3,7,1,6,2,29,2,6,1,30,2,13,1,6,2,7,1,6,1,13,1,6,2,30,3,29,1,30,1,6,1,28,1,30,1,29,1,30,2,6,1,30,1,29,1,28,1,30,1,6,1,29,1,30,1,7,1,30,4,28,1,29,1,28,1,30,3,28,1,30,1,28,1,29,1,30,2,28,1,30,1,6,1,30,1,29,1,6,1,29,1,30,1,6,4,30,1,6,1,30,1,6,1,30,1,6,2,7,1,13,1,30,1,6,1,30,1,6,2,13,1,6,2,29,1,6,1,30,2,29,1,6,3,29,1,30,1,6,2,29,1,6,2,30,1,6,1,29,1,30,1,7,1,29,1,6,4,29,1,13,1,29,1,13,1,29,1,30,1,6,2,29,1,30,1,6,5,29,1,30,1,28,1,30,1,6,2,30,1,6,1,28,1,30,2,29,1,6,1,30,2,6,1,30,2,6,2,30,1,6,2,29,1,30,4,6,1,30,1,13,1,6,2,30,2,29,2,30,5,6,2,30,2,6,1,30,2,6,1,30,2,6,1,28,1,29,1,28,1,6,2,30,2,6,1,28,1,6,2,13,2,30,3,28,1,29,1,6,2,30,1,29,1,30,1,28,3,30,2,28,1,30,3,28,1,30,4,29,4,6,1,29,1,6,2,13,1,6,1,30,1,6,3,28,1,6,1,30,1,28,1,30,2,29,1,28,1,13,2,6,4,30,1,29,1,7,1,6,4,30,1,29,1,6,3,30,1,6,1,30,1,6,4,13,1,6,1,13,1,6,3,13,1,30,1,7,1,13,3,6,1,13,1,6,1,30,1,13,1,6,4,30,1,28,1,29,1,30,1,28,1,30,1,6,1,28,1,6,1,30,1,29,1,30,1,6,2,30,1,6,1,13,2,6,3,13,1,6,2,30,1,29,2,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,3,29,1,30,3,28,1,6,2,29,1,6,1,28,2,30,1,28,2,30,1,6,1,13,1,30,1,28,1,30,4,6,1,30,5,6,1,29,1,30,1,28,1,30,2,17,1,13,2,30,3,6,1,30,1,29,2,30,2,29,1,28,1,30,6,29,1,6,1,30,3,28,1,29,1,6,2,13,1,6,1,29,1,30,2,6,1,13,1,6,2,13,2,7,1,13,2,6,1,13,1,6,1,29,1,8,1,6,1,13,1,7,2,13,2,30,1,6,1,30,1,13,1,29,1,6,5,13,1,6,6,29,1,6,1,29,1,30,2,6,2,30,1,29,1,6,1,28,1,30,4,28,1,6,2,28,1,30,1,13,1,30,1,6,1,30,3,6,2,29,1,6,1,30,1,6,4,29,1,28,1,6,1,30,1,6,1,30,1,28,1,30,3,29,1,7,1,6,1,30,1,6,1,28,1,30,2,16,1,17,1,28,3,6,1,28,1,7,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,30,2,6,1,30,1,29,1,6,1,29,1,6,3,30,2,6,2,29,1,6,1,30,1,29,1,6,2,28,2,30,3,29,1,30,1,6,2,30,1,6,5,30,1,6,1,30,1,29,1,30,1,6,1,30,1,28,1,30,1,28,2,6,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,30,1,29,2,6,2,13,1,6,2,28,1,6,1,30,1,13,1,6,1,13,2,6,1,13,1,6,3,13,1,29,1,6,2,30,4,6,1,29,1,6,1,30,1,29,1,30,1,6,3,30,3,29,1,30,1,6,1,30,8,29,1,30,1,7,1,30,1,6,2,30,1,29,1,6,1,29,2,28,1,6,1,29,2,6,1,28,1,30,6,6,1,30,1,29,1,6,2,30,4,6,1,29,1,6,1,30,1,6,1,30,1,6,3,29,1,30,2,6,1,17,1,28,1,13,1,6,1,30,2,6,2,29,1,30,1,29,1,6,4,30,2,6,2,28,1,29,1,30,2,6,1,28,1,13,1,6,1,29,1,30,1,29,1,6,2,30,1,29,1,6,4,13,1,6,1,30,1,6,1,29,1,30,1,29,1,30,2,28,1,13,1,6,1,30,1,28,1,30,1,29,1,28,1,30,1,6,1,30,1,28,1,29,1,6,1,30,1,13,1,6,1,30,2,29,1,6,1,30,1,6,1,7,1,13,1,10,1,8,2,6,1,13,1,7,1,6,1,30,1,6,4,30,1,6,2,29,1,7,1,30,1,6,1,28,1,6,1,28,1,6,1,30,1,29,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,7,1,13,1,6,1,13,1,6,2,28,12,13,2,6,1,13,2,9,2,8,1,13,1,8,1,9,1,8,2,13,2,9,1,13,1,9,1,8,2,7,1,13,2,9,3,7,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,17,3,16,1,17,4,16,1,17,1,12,2,17,1,12,1,9,1,11,4,9,1,11,1,17,1,11,1,17,4,11,2,9,1,11,1,9,3,11,3,9,1,11,1,9,1,11,3,9,1,10,1,9,2,6,1,28,1,30,1,28,1,30,1,28,10,30,1,28,3,30,3,28,2,30,1,28,10,30,1,28,1,30,1,28,6,30,1,28,3,29,1,28,3,30,1,28,1,30,1,28,1,6,1,28,6,30,1,28,5,30,1,28,8,30,1,28,1,30,1,28,3,6,1,13,1,28,1,30,3,6,1,30,5,6,1,29,1,6,1,30,1,6,2,29,1,30,1,29,1,6,2,13,4,9,1,13,1,8,1,13,2,6,1,13,1,6,1,13,1,30,2,6,1,30,1,6,1,13,1,7,1,6,1,13,5,8,1,7,1,9,2,8,1,9,4,10,1,8,1,9,2,8,4,9,2,8,3,13,5,6,1,7,1,13,8,6,1,30,2,6,3,30,1,6,2,7,1,6,2,13,9,9,2,8,1,11,1,10,1,11,2,16,1,12,1,11,2,10,1,16,1,11,2,17,8,11,1,9,1,11,1,8,1,13,4,6,1,13,1,7,1,29,1,6,2,30,2,28,38,30,3,28,2,6,1,29,1,28,4,30,1,28,3,30,1,6,1,29,1,7,1,6,1,29,1,6,3,13,2,8,1,13,1,16,2,17,2,6,1,28,1,6,3,28,22,13,1,28,1,30,1,28,2,30,3,28,14,30,2,28,2,29,1,9,2,13,4,6,1,13,1,6,1,30,2,28,3,30,1,28,11,6,1,13,1,28,4,6,1,28,18,30,1,28,17,30,2,28,1,6,2,30,4,28,6,30,1,28,3,30,2,28,2,30,1,29,1,28,14,30,2,28,2,30,3,28,7,30,1,28,2,30,2,28,1,30,2,28,9,30,1,28,3,30,1,29,1,13,1,6,1,30,3,28,1,6,1,28,1,30,1,28,6,30,1,28,9,30,1,28,1,30,1,6,1,29,1,13,2,30,3,28,1,30,2,7,1,6,1,30,2,28,3,30,1,13,1,9,1,28,16,9,1,17,2,9,1,8,1,13,2,7,1,13,3,8,1,6,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,7,1,13,1,9,3,16,1,17,2,13,1,28,5,30,1,8,1,7,2,6,1,28,41,6,1,30,1,29,1,28,3,9,1,17,2,11,1,8,1,13,2,9,1,8,2,13,1,9,1,17,3,6,1,28,6,24,1,7,1,28,9,30,1,6,1,13,1,6,1,30,1,28,5,}, {17,6,11,1,9,1,11,1,6,2,29,1,28,3,6,1,9,1,6,1,28,25,30,1,28,2,30,1,28,7,6,1,28,1,30,1,28,1,29,1,28,2,30,1,28,1,29,1,28,1,29,1,6,1,30,1,7,1,6,2,13,1,17,1,12,1,29,2,7,1,13,2,8,1,9,1,12,1,6,5,29,1,30,1,7,1,9,1,17,1,12,1,17,3,11,1,17,1,6,1,30,1,13,1,28,2,13,1,8,1,24,1,13,1,7,1,6,1,8,1,7,1,9,1,17,4,16,2,10,1,11,1,8,1,16,1,9,2,16,1,12,1,17,2,13,1,9,1,29,1,13,2,8,1,29,1,9,1,8,1,28,36,6,1,13,1,7,1,9,2,17,1,11,1,30,1,28,2,29,1,28,1,6,1,10,1,17,7,9,1,16,1,24,1,13,1,6,2,8,1,6,1,13,2,24,1,8,1,13,1,24,1,9,3,11,1,12,1,11,1,9,2,17,1,14,1,8,1,28,14,13,3,30,1,6,1,30,1,6,2,13,1,6,2,13,1,6,1,30,1,6,2,30,1,6,1,30,1,28,1,30,3,6,1,29,2,6,1,7,1,6,1,30,2,6,4,30,2,6,1,30,1,6,1,28,1,30,6,28,1,30,8,28,1,6,1,30,2,28,1,30,1,6,1,30,2,6,1,28,1,30,2,29,1,7,1,6,1,30,1,28,9,6,1,30,4,28,1,30,1,28,1,30,1,28,1,6,1,28,1,29,1,30,1,29,1,6,1,28,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,30,1,6,3,30,1,6,1,30,5,6,1,28,1,29,1,28,1,6,1,28,1,30,1,28,1,29,1,6,1,30,2,6,2,13,1,6,2,30,1,13,1,30,1,6,1,30,1,29,1,6,7,30,1,7,1,6,2,29,1,6,1,30,1,6,2,7,1,30,1,29,1,6,1,13,1,6,1,13,2,6,1,13,1,9,1,6,1,13,1,28,1,30,3,29,1,30,1,6,1,13,1,6,1,30,9,6,1,29,1,6,2,30,2,29,1,30,2,28,1,30,3,6,1,30,1,6,1,28,1,6,5,13,1,9,1,30,1,28,2,30,1,28,6,6,1,13,1,9,1,10,1,11,1,17,1,10,2,11,1,9,1,8,1,9,3,10,1,9,1,13,3,11,2,6,1,13,1,8,1,7,2,6,1,13,2,6,1,13,1,6,1,13,1,9,1,8,1,9,1,13,1,8,1,7,1,29,1,13,2,7,2,6,1,29,1,6,2,30,1,13,3,7,1,13,1,6,1,7,1,6,1,7,2,13,1,7,1,13,1,6,1,7,1,6,1,13,1,7,1,6,1,7,1,6,2,29,1,6,3,28,1,30,1,6,1,30,1,29,1,30,3,28,1,6,1,30,1,6,1,30,2,6,1,30,1,6,2,30,1,28,1,6,1,28,1,6,1,29,1,6,1,28,1,30,4,6,2,30,1,6,4,7,2,30,1,6,1,13,1,6,1,13,2,8,1,9,2,8,1,6,1,13,1,8,2,13,2,7,1,13,1,10,1,24,1,8,1,9,2,10,2,9,1,12,2,10,1,12,2,10,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,8,2,24,1,8,1,9,1,11,1,24,1,8,1,9,1,10,1,9,3,8,1,24,1,10,1,9,1,10,2,9,3,29,1,28,3,30,3,29,1,27,1,29,1,27,1,29,1,27,1,26,1,25,4,24,1,8,4,24,2,8,1,24,1,25,2,8,3,25,1,8,1,24,1,25,1,24,4,26,1,24,3,8,1,24,1,8,1,24,1,25,1,24,4,25,1,8,1,24,1,26,1,28,1,26,1,29,2,30,1,28,6,30,3,29,1,30,1,27,4,26,1,29,1,25,1,24,1,25,1,8,1,24,2,25,3,26,1,27,1,26,1,25,4,26,1,25,2,24,1,8,1,25,1,8,1,24,3,27,1,8,2,27,1,25,1,26,1,30,1,13,1,29,1,28,1,29,1,13,1,29,1,6,1,30,5,7,1,6,1,29,1,6,1,30,1,29,1,13,2,6,3,29,2,30,1,6,2,13,2,30,1,28,1,6,1,29,1,30,1,6,1,30,1,28,1,30,1,7,1,29,4,30,2,6,1,30,2,29,1,28,1,7,1,30,1,6,2,13,1,30,1,6,1,30,1,29,1,30,1,6,2,30,1,6,1,29,1,13,1,6,1,30,1,6,1,30,1,29,1,30,3,6,1,30,2,29,1,30,2,29,1,6,1,30,1,29,1,6,4,29,1,6,2,30,1,6,2,29,1,6,1,8,1,7,1,6,3,30,1,6,1,28,1,6,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,28,1,6,1,30,1,6,1,7,1,29,1,13,3,6,1,30,2,6,2,29,1,6,2,8,1,16,1,30,1,6,4,30,1,6,2,29,1,7,1,6,1,29,1,30,1,28,1,30,5,6,1,30,2,28,1,30,2,28,1,29,1,28,1,6,1,28,1,30,1,6,1,28,1,30,1,6,1,30,2,29,1,28,1,30,1,29,2,6,1,30,2,6,2,30,4,28,1,30,2,29,1,13,2,6,1,30,1,6,2,8,2,7,1,6,3,29,1,6,1,30,1,29,3,6,2,29,1,6,2,29,1,6,1,30,1,6,1,30,1,29,1,6,4,30,1,6,1,30,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,7,1,29,1,30,1,28,1,6,1,30,3,28,1,29,1,30,6,6,1,28,1,6,1,29,1,30,4,7,1,28,1,30,1,28,1,29,1,6,1,29,1,30,2,6,1,29,1,30,1,6,1,30,1,6,1,13,1,6,1,29,1,30,1,6,1,30,3,6,1,30,9,6,1,30,4,28,1,30,3,29,1,6,1,28,1,30,1,6,1,30,1,28,2,30,2,28,1,30,3,6,2,30,1,28,1,30,3,28,3,30,1,28,2,30,4,6,1,30,1,28,1,30,2,6,2,13,1,6,1,13,1,6,2,30,1,6,1,13,1,29,1,6,2,29,1,30,1,6,1,30,3,7,1,13,1,6,2,30,1,29,1,30,2,29,1,30,1,6,1,30,2,6,1,29,1,30,2,6,1,30,1,6,2,29,2,6,1,29,1,6,1,7,1,30,1,6,4,13,3,7,2,13,1,6,1,13,1,7,1,6,3,13,1,6,1,8,1,6,2,30,4,6,1,30,1,29,1,30,3,6,2,30,1,6,5,29,1,30,2,6,2,30,1,6,1,29,1,6,2,28,1,30,1,29,4,6,1,29,1,30,2,6,1,29,1,6,1,30,1,29,1,30,1,29,1,30,2,29,1,30,1,29,1,6,1,30,1,29,2,30,2,28,1,30,7,28,1,6,2,30,1,28,1,17,1,30,1,7,1,30,4,28,1,30,1,29,1,30,1,28,2,6,1,28,2,30,1,28,1,30,4,29,1,6,1,28,1,30,2,6,1,7,1,6,1,30,1,6,2,29,1,6,4,30,1,13,6,6,3,13,1,6,1,7,1,30,1,13,1,6,1,13,1,6,2,13,1,7,1,13,1,6,4,13,1,6,3,30,1,6,1,30,1,6,1,29,1,6,1,28,1,29,1,28,1,30,2,6,2,30,1,6,2,28,2,30,3,29,1,30,1,6,3,30,1,28,1,30,1,29,1,30,1,7,1,29,1,30,1,29,1,28,1,30,2,6,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,29,2,30,1,6,2,30,2,6,1,9,1,17,1,6,1,30,1,29,1,28,1,30,1,28,4,29,1,30,2,6,1,30,1,7,1,29,1,30,2,6,1,28,1,30,1,29,1,6,4,30,2,6,1,30,1,13,2,6,2,13,1,6,3,13,1,30,4,29,1,28,1,6,1,29,1,6,1,30,1,6,3,30,3,28,1,6,3,30,3,6,1,29,1,30,1,6,1,30,2,13,1,6,2,30,1,13,1,29,1,6,1,29,1,6,3,13,2,6,2,13,2,7,1,6,1,30,1,13,1,6,1,28,1,29,1,6,3,30,1,29,2,30,2,6,1,30,2,28,1,6,1,30,5,6,1,28,1,30,1,28,1,6,1,30,3,29,1,30,2,6,1,29,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,2,29,1,28,1,6,2,30,3,6,1,30,1,29,1,30,1,29,1,30,1,6,3,30,1,29,1,28,1,6,2,28,1,30,2,13,1,6,1,30,1,29,1,30,1,28,1,9,1,28,1,13,1,30,1,29,1,30,1,28,1,30,2,28,1,30,3,6,2,30,1,6,3,30,1,29,1,6,3,29,1,6,1,30,1,7,1,30,2,6,1,30,1,29,1,6,3,30,1,6,2,28,1,6,1,29,1,7,1,6,1,29,1,30,1,6,1,30,1,13,1,30,1,28,1,30,1,29,1,28,1,29,1,30,1,28,1,6,1,29,1,28,1,29,1,6,1,29,1,30,1,29,1,6,1,30,1,6,2,13,1,9,1,13,1,9,1,13,4,7,1,29,1,6,1,30,2,6,1,29,1,7,1,13,1,6,1,7,1,6,4,29,2,6,1,29,1,6,2,7,1,13,1,30,1,7,1,13,1,6,1,13,2,29,1,13,1,6,1,8,1,13,1,28,12,13,2,6,2,13,1,8,1,13,2,9,1,7,1,13,3,9,4,8,1,13,2,8,1,13,1,8,1,9,1,13,1,8,1,9,1,17,1,9,2,11,1,10,3,9,1,17,1,10,1,17,1,10,1,17,9,12,1,9,1,17,1,11,2,17,1,11,1,10,1,17,2,11,1,17,4,11,1,17,1,11,5,9,1,11,1,17,4,10,2,11,1,9,1,11,1,10,1,11,1,9,1,8,1,28,1,30,3,28,8,30,1,28,7,30,1,28,16,30,1,28,5,30,1,28,8,30,2,6,1,28,2,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,4,30,2,28,4,30,1,28,2,30,1,28,2,6,2,28,1,30,1,29,1,30,5,6,1,29,1,30,2,29,1,6,1,29,1,6,3,7,1,6,1,13,6,8,2,13,2,8,1,9,3,8,1,9,1,13,1,7,1,6,2,13,5,6,1,13,2,8,1,9,1,13,1,9,4,8,1,9,1,11,1,9,2,10,1,9,1,8,1,9,2,11,1,17,2,11,1,16,1,11,1,10,1,8,2,9,1,13,8,8,1,13,2,6,3,7,2,13,5,8,1,7,1,13,1,8,1,13,2,8,1,13,1,8,1,9,1,10,1,8,1,12,1,11,3,17,1,16,2,12,1,16,1,9,1,13,1,11,1,17,1,16,1,17,8,11,1,13,1,7,1,13,4,6,3,13,1,6,1,30,1,28,26,30,1,28,13,30,1,28,3,30,1,28,2,30,2,28,2,30,3,6,1,29,1,6,1,30,1,6,1,29,1,13,1,6,1,13,3,8,2,16,1,17,2,11,1,6,1,28,1,6,1,30,2,28,1,30,1,28,3,30,1,28,8,30,1,28,2,30,1,28,3,30,1,7,1,28,5,30,1,28,7,30,1,28,9,30,1,28,1,13,1,9,2,13,3,7,1,13,2,30,1,29,1,30,1,6,1,30,2,28,5,30,1,28,6,13,1,28,48,30,1,28,2,30,1,28,3,29,1,28,1,30,2,28,6,30,2,6,1,30,1,28,2,30,2,28,11,6,1,28,2,30,1,28,6,30,1,28,9,30,1,28,8,30,1,28,4,6,1,7,1,6,1,30,1,28,2,29,1,28,1,30,1,28,1,30,1,28,15,30,1,6,1,13,3,7,2,6,1,30,3,28,1,30,1,6,1,13,1,30,1,28,3,6,1,13,1,9,1,28,16,6,1,17,2,9,1,13,1,7,1,6,1,8,1,7,2,6,1,7,1,29,1,28,6,30,1,28,1,30,2,28,1,7,1,8,1,9,2,11,1,17,1,16,1,17,1,28,5,30,1,29,1,9,1,8,1,6,1,7,1,28,41,13,1,6,2,28,2,30,1,16,1,17,1,11,1,9,1,13,1,8,1,13,1,8,1,7,1,9,2,17,4,29,1,28,6,9,1,13,1,28,9,29,1,6,2,13,2,28,5,}, {17,4,11,2,16,1,12,1,8,1,24,1,30,1,28,1,30,1,28,3,13,1,9,1,28,33,29,1,28,5,30,1,28,1,30,1,28,2,30,1,29,1,28,1,6,1,30,4,6,1,8,1,11,1,17,1,6,3,13,1,6,1,7,1,17,1,11,1,7,1,6,3,13,1,7,2,8,1,11,1,12,1,17,4,10,1,9,1,24,1,6,2,29,1,30,1,6,1,13,1,24,1,13,1,7,1,13,3,6,1,17,5,16,2,11,1,9,1,8,1,11,1,16,1,11,1,17,3,10,1,6,2,13,1,8,2,24,2,8,1,29,1,28,29,7,1,29,1,28,1,6,1,28,1,30,1,6,1,8,1,6,1,13,1,9,1,11,1,13,1,29,1,30,2,28,3,9,1,17,7,10,1,9,2,8,3,13,2,7,1,8,2,9,1,13,1,24,1,10,1,13,1,10,1,17,1,11,2,9,1,10,2,14,1,9,1,28,14,6,1,13,2,6,1,7,1,6,5,28,1,13,3,7,1,30,2,28,1,30,2,29,1,30,4,6,2,29,1,30,1,29,1,30,2,6,1,30,1,6,1,29,2,13,1,29,1,30,1,6,1,30,3,29,1,30,1,28,2,30,2,6,1,30,1,6,1,28,1,6,1,28,1,6,1,30,4,28,1,30,1,29,2,28,1,6,1,29,3,6,1,28,10,30,6,28,1,30,2,28,1,30,9,6,1,30,2,6,1,30,2,29,2,30,1,6,1,30,3,29,1,30,3,29,1,6,1,29,1,30,3,6,1,30,1,6,1,30,4,6,1,30,3,6,1,29,1,30,1,6,2,29,1,30,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,13,1,7,1,13,1,6,2,13,1,28,1,30,1,6,1,30,1,6,2,7,1,6,1,13,3,8,1,13,3,29,1,6,1,13,1,6,2,30,1,6,4,30,2,29,1,30,3,28,1,30,3,29,1,30,1,6,1,29,1,30,2,6,2,30,1,6,1,30,1,6,2,29,1,30,1,6,3,30,1,6,2,30,1,9,1,13,1,28,1,29,1,28,8,6,1,13,2,11,1,17,2,10,1,9,3,17,1,9,4,8,2,13,1,8,1,13,6,6,1,7,1,13,1,7,1,6,1,13,2,9,1,13,1,9,1,13,1,8,1,13,3,7,1,13,1,6,1,13,1,7,1,6,1,13,3,8,1,7,1,6,2,13,2,7,2,6,2,7,3,13,1,7,1,13,1,7,1,6,1,13,1,6,2,13,1,6,4,7,1,29,1,30,1,6,1,28,1,30,2,28,1,6,1,30,4,28,1,6,1,30,2,29,1,6,1,30,1,29,1,30,3,29,1,28,1,29,1,30,1,28,1,29,1,30,1,6,4,7,1,6,2,13,1,7,1,13,2,8,2,13,1,8,1,9,1,13,1,7,1,29,1,7,1,13,3,8,1,24,2,8,2,24,1,13,1,24,1,9,2,10,1,12,1,10,1,24,1,10,1,9,1,24,1,9,2,11,1,24,1,9,3,24,1,9,1,8,1,24,2,8,1,10,1,9,5,10,1,9,2,10,1,9,2,8,1,9,1,8,1,30,1,28,4,30,1,28,1,30,1,6,1,29,1,27,3,30,1,25,2,27,2,25,1,24,1,8,1,24,1,8,1,24,1,8,1,24,2,8,2,25,1,8,3,25,2,24,1,8,2,24,4,25,1,24,1,8,1,24,2,8,1,24,4,15,1,24,3,25,1,8,1,25,1,27,1,29,2,30,1,28,5,30,2,28,1,30,1,29,1,30,1,29,2,27,1,26,2,27,1,8,4,24,4,26,1,27,1,26,1,27,1,25,4,24,1,25,1,26,1,24,2,25,1,24,1,25,1,24,1,26,1,8,2,26,1,27,1,6,1,7,1,29,1,6,2,29,1,30,1,6,2,30,3,28,2,6,1,28,1,6,1,13,1,7,1,6,1,13,1,30,1,29,1,6,2,28,1,30,2,6,2,30,2,6,1,28,1,29,1,6,1,29,1,30,1,29,1,28,1,29,1,13,1,30,2,6,1,30,1,6,1,28,1,29,2,6,1,29,1,28,1,6,2,13,2,6,3,30,1,6,3,29,1,30,1,6,3,30,1,6,1,30,1,6,1,30,2,28,1,30,1,29,1,30,2,6,1,29,1,30,1,6,1,29,1,30,1,29,1,6,1,29,1,30,1,6,1,29,1,30,1,6,1,29,2,6,1,30,1,6,1,13,1,29,1,8,1,13,1,6,1,29,1,6,1,29,1,6,2,30,1,6,2,29,1,6,1,30,1,6,2,30,1,6,1,29,1,6,1,29,1,6,1,30,2,7,1,13,3,6,1,30,1,13,1,28,1,30,1,6,1,7,1,6,2,13,1,6,3,29,1,30,1,6,3,28,1,6,1,30,1,28,1,30,3,28,1,30,3,28,2,30,3,6,1,28,1,30,2,29,1,30,2,28,1,30,3,29,1,30,3,6,1,13,1,6,1,30,1,6,1,30,2,6,1,7,1,13,1,6,1,7,2,13,2,30,2,13,1,7,1,6,3,30,3,6,2,30,2,6,3,29,1,30,1,6,1,28,2,30,2,6,1,29,1,6,1,13,1,6,1,30,3,6,1,13,1,6,1,13,1,29,1,6,1,13,1,29,1,6,2,30,1,6,2,29,1,6,4,29,1,30,2,6,2,30,2,28,1,30,2,29,1,30,5,6,1,29,2,30,1,6,1,30,1,7,1,30,3,28,2,6,1,30,1,13,1,6,2,28,1,30,1,29,1,30,2,28,1,30,6,6,1,30,3,28,1,30,2,6,1,30,2,29,1,30,3,6,2,30,1,6,1,30,1,28,1,6,3,29,1,30,1,6,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,5,30,3,28,1,30,1,28,1,6,3,30,1,6,1,30,1,6,1,29,1,30,1,28,1,6,1,30,7,6,1,13,1,30,1,6,3,30,1,29,2,30,1,29,1,6,1,29,1,30,1,6,8,29,1,6,2,29,1,6,1,30,1,29,1,6,2,29,1,6,7,7,2,13,6,7,1,6,2,13,1,6,2,30,2,6,1,29,1,28,1,30,2,29,1,6,1,29,1,6,2,29,1,30,1,6,4,29,1,30,1,29,1,30,2,6,2,29,2,7,1,30,1,29,1,30,1,29,1,30,3,28,1,6,1,29,1,6,1,30,2,28,1,30,5,29,1,6,1,29,2,30,1,6,1,30,1,28,1,30,1,28,2,29,1,30,2,29,1,30,4,28,1,17,1,16,1,6,1,28,1,30,2,28,1,29,2,30,3,28,1,29,1,30,4,6,1,29,1,28,1,6,1,30,1,6,1,30,1,6,1,28,1,6,6,13,1,6,3,7,1,6,1,7,1,13,1,6,1,13,1,6,1,7,1,6,2,13,2,6,1,8,1,13,2,8,1,13,1,29,1,13,2,6,1,7,1,6,2,13,1,6,5,30,1,6,1,30,9,28,1,13,1,6,1,30,3,29,1,28,1,30,1,6,1,30,1,6,2,29,1,30,2,29,1,30,1,6,1,7,1,28,1,29,1,28,1,30,7,28,1,30,2,28,2,30,1,28,2,30,2,6,2,13,1,17,1,9,1,6,1,30,1,28,1,30,1,28,5,30,2,28,2,29,1,30,1,28,1,30,4,28,1,30,2,6,1,30,1,29,1,30,1,6,4,29,1,7,1,6,1,30,2,6,1,30,1,6,1,29,1,30,1,29,1,6,2,30,1,29,2,6,1,28,1,29,1,30,1,6,1,29,2,30,1,29,2,6,1,30,2,6,1,28,1,30,2,29,1,30,4,13,1,6,1,30,1,6,2,30,2,28,1,6,1,30,1,6,2,29,1,6,4,29,1,6,2,29,1,6,1,29,1,30,3,29,1,30,5,29,1,30,3,29,1,30,2,28,1,30,2,29,1,30,2,28,1,29,1,30,4,29,1,30,2,6,2,28,1,30,2,28,1,29,1,30,3,6,1,28,2,30,5,6,1,30,2,6,1,28,1,6,1,29,1,30,1,29,2,6,1,30,1,13,1,6,1,30,1,6,1,13,1,16,1,17,2,8,1,28,1,29,1,28,1,16,1,28,1,7,1,29,1,30,1,6,1,28,1,30,1,29,2,30,1,28,1,29,2,30,1,29,2,28,1,30,1,29,1,28,1,6,1,30,2,6,1,28,1,6,2,29,1,6,1,30,2,6,2,29,1,30,1,6,2,28,2,30,2,29,1,6,1,29,1,6,1,29,2,6,1,30,1,29,1,28,1,30,1,28,1,29,2,30,2,28,1,30,1,28,1,6,1,29,1,30,3,6,1,13,1,6,2,8,2,13,1,6,1,13,1,7,1,13,2,8,1,7,1,6,1,30,1,6,2,30,2,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,29,1,6,2,13,2,6,1,13,1,6,1,8,1,13,1,6,1,7,1,6,1,13,2,30,1,28,11,30,1,13,1,8,1,6,1,7,1,13,1,9,1,8,3,13,1,9,1,13,2,8,1,13,1,9,1,8,1,9,1,8,1,13,3,8,1,9,1,11,1,9,2,12,1,10,1,8,1,10,2,11,1,9,2,11,2,10,1,11,1,16,1,17,7,11,1,17,2,11,7,17,7,11,3,9,2,11,1,10,1,17,1,12,1,11,1,12,1,9,1,11,1,10,1,17,1,11,1,9,1,11,1,9,2,13,1,30,2,28,1,30,1,28,13,30,1,28,2,30,1,28,9,30,1,28,4,30,1,28,6,30,1,28,11,30,1,28,3,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,2,13,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,2,6,1,29,1,30,2,7,1,13,1,6,2,28,1,6,4,13,2,7,1,13,3,7,1,13,1,8,3,9,3,13,1,9,1,11,1,9,1,13,1,9,1,8,1,9,3,8,1,9,4,11,1,9,2,11,1,9,8,11,1,9,1,10,2,11,2,17,2,11,4,12,1,17,1,11,1,9,1,8,1,9,1,8,1,9,2,13,4,7,1,13,2,8,1,13,5,9,1,13,1,9,1,13,3,9,2,11,1,9,1,11,1,9,1,10,1,11,2,10,1,9,2,7,1,13,2,6,2,30,1,6,1,9,1,17,4,16,1,11,1,17,2,11,1,13,4,7,2,29,2,6,1,29,1,30,3,28,26,30,2,28,1,30,1,28,12,30,1,28,1,7,1,30,2,28,1,30,1,29,4,7,1,29,1,30,1,13,1,30,1,6,1,13,2,7,1,8,1,9,1,7,1,13,1,17,1,11,1,17,1,16,1,30,2,6,1,30,2,28,14,30,1,28,1,30,1,28,3,30,3,28,1,30,1,28,6,30,1,28,4,30,1,28,1,6,1,28,9,13,1,8,1,9,1,13,5,6,1,29,1,30,1,6,1,30,1,6,1,28,4,30,1,28,3,30,1,28,3,13,1,28,45,30,1,28,2,30,1,28,1,30,1,28,4,30,3,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,10,30,1,28,1,30,3,28,3,6,1,28,13,30,1,28,8,30,1,28,3,30,1,28,3,7,2,6,1,30,2,29,1,30,3,28,6,30,1,28,5,30,1,28,2,30,2,13,1,7,1,13,4,28,1,30,2,28,2,6,2,13,2,29,1,30,2,13,1,11,1,9,1,28,16,13,1,17,2,11,1,9,1,13,3,7,1,13,2,30,1,28,8,30,1,28,2,30,1,13,2,9,1,11,1,16,1,17,3,6,1,28,5,6,1,9,1,13,1,30,2,28,41,6,1,7,1,6,1,30,2,29,1,17,3,11,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,17,3,28,6,7,1,13,1,6,1,28,9,30,1,28,1,6,1,13,1,28,1,30,1,28,4,}, {17,4,16,1,11,1,17,1,12,1,13,2,29,1,13,1,28,1,29,1,28,1,6,1,8,2,28,33,30,3,28,5,29,1,13,1,28,2,6,1,30,3,6,1,28,1,6,2,8,1,10,1,24,1,13,1,6,1,30,1,6,2,13,1,9,1,8,1,13,1,6,2,13,1,29,1,13,1,6,1,13,1,17,1,11,1,12,1,17,1,16,1,17,1,11,1,10,1,8,1,29,1,13,1,28,1,30,1,6,1,8,1,9,1,13,1,6,1,13,4,17,3,16,4,11,1,16,2,9,1,11,1,17,4,13,3,8,1,13,1,8,1,13,1,7,1,8,1,30,1,28,31,30,1,28,2,30,1,6,1,13,1,7,1,8,2,16,1,8,1,6,1,30,3,28,2,9,1,17,4,16,1,17,2,16,1,8,1,13,1,7,2,24,1,13,1,7,2,13,2,9,1,13,1,8,2,10,1,9,1,16,1,17,2,12,1,16,2,14,1,9,1,28,14,13,3,6,1,29,1,30,1,6,3,7,1,13,1,6,1,13,2,7,1,29,1,30,1,6,1,29,2,6,2,30,1,29,1,30,1,6,4,30,1,6,3,30,2,6,3,30,1,6,1,30,14,6,2,30,2,28,1,30,3,29,1,30,1,28,1,30,2,28,1,6,1,28,11,30,1,28,2,30,3,29,1,30,1,28,2,30,4,29,1,30,1,6,1,28,1,6,1,28,1,6,5,30,1,6,2,30,3,6,1,29,1,30,3,29,1,30,8,28,1,30,1,6,1,7,1,29,1,30,1,29,1,30,3,29,2,30,1,6,1,30,2,29,1,28,2,29,1,30,3,6,1,29,1,13,1,6,4,29,1,30,2,6,5,7,1,13,1,8,1,13,1,8,1,13,1,30,1,7,1,30,3,6,1,30,1,6,1,28,1,30,1,28,2,30,2,29,1,28,1,30,5,6,1,28,1,30,1,6,1,28,1,6,4,30,7,7,1,13,1,28,1,30,2,6,1,13,2,30,1,28,8,30,1,13,2,9,1,10,1,17,1,24,1,17,2,9,5,13,1,9,2,8,1,13,1,9,1,13,2,9,1,7,3,13,2,6,1,13,1,6,1,8,1,17,1,13,3,8,1,7,1,13,2,7,1,13,2,7,1,13,4,8,1,6,1,13,1,7,1,6,1,7,1,13,1,7,1,6,2,7,1,8,1,7,3,13,1,7,1,13,1,6,1,7,1,6,1,13,1,30,1,7,1,6,3,29,1,30,1,6,1,30,1,6,1,30,2,28,1,30,1,29,1,6,1,30,3,29,1,30,2,29,1,30,1,29,1,30,3,29,2,30,1,28,1,30,3,6,2,29,1,6,3,29,1,6,1,7,1,13,1,6,1,13,1,6,2,9,2,8,1,29,1,7,2,6,2,8,1,13,1,8,1,13,2,8,2,24,1,8,3,9,1,10,1,11,1,12,1,10,2,11,1,12,1,10,1,8,1,11,1,9,3,24,2,9,2,24,1,8,1,24,1,9,1,8,1,11,1,10,2,9,1,11,1,8,1,24,1,8,1,9,1,8,1,9,1,13,1,28,7,29,2,27,2,26,1,29,1,27,1,26,1,27,3,8,1,24,1,27,1,26,1,24,2,15,1,8,1,24,2,25,2,8,1,26,2,25,1,24,3,8,1,24,2,8,1,24,4,8,1,24,9,8,2,25,2,26,2,29,1,30,1,28,5,30,2,28,1,30,1,29,2,27,1,29,1,27,2,25,1,27,1,25,2,8,1,24,4,25,1,29,1,30,1,25,2,26,1,25,1,27,1,25,2,24,2,25,1,24,5,8,3,7,1,6,2,7,1,30,2,6,5,30,2,6,1,30,6,13,1,6,1,13,2,7,1,29,3,6,2,30,1,6,1,30,1,29,1,30,1,6,1,30,2,6,2,30,1,29,1,30,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,30,2,6,5,29,1,6,3,29,1,6,5,30,1,29,1,13,1,30,1,28,1,29,1,30,1,29,1,30,3,6,3,29,3,6,3,29,1,6,2,29,1,7,1,6,9,13,1,11,1,13,1,29,1,7,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,29,1,6,1,29,2,6,2,30,1,29,1,6,1,28,1,6,1,30,1,13,1,30,1,6,2,13,1,9,1,16,1,13,1,6,1,30,1,6,1,30,3,29,1,6,1,29,2,6,1,29,2,30,1,29,1,6,1,29,1,30,1,29,1,6,2,29,2,30,1,28,1,6,1,30,2,29,1,30,1,6,1,30,1,6,1,29,1,28,1,30,1,28,1,30,1,28,1,29,1,30,2,29,1,6,1,30,1,29,1,28,1,30,3,6,1,13,2,6,2,29,1,28,1,30,1,13,2,29,1,6,1,30,4,6,1,28,1,30,1,29,1,30,1,29,1,30,1,29,1,13,1,29,1,6,1,29,1,28,1,6,1,30,1,6,1,29,1,30,2,29,1,30,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,2,7,1,6,4,30,2,6,1,30,1,29,1,30,1,6,1,29,1,30,1,6,1,30,6,28,1,29,2,6,1,30,3,6,1,28,1,6,2,28,1,29,1,30,1,29,2,28,1,30,3,28,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,3,28,2,30,2,28,2,30,2,29,1,30,4,6,1,29,1,30,1,28,1,30,1,28,1,30,2,6,1,13,1,30,1,28,1,30,6,28,3,6,1,29,1,30,2,6,1,28,1,6,1,28,1,30,3,29,1,28,1,6,3,28,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,29,2,30,1,6,1,30,1,6,4,7,1,30,1,29,2,6,1,30,2,6,10,30,1,6,5,29,1,6,1,29,1,6,1,13,1,6,1,29,1,13,1,7,1,6,2,30,1,6,1,13,1,6,4,13,2,6,1,7,1,30,1,7,1,13,1,7,1,30,1,6,1,30,1,6,2,30,2,29,1,6,3,30,1,6,2,30,1,29,1,30,1,6,1,29,1,6,1,30,1,6,3,13,1,29,1,30,1,6,4,29,1,6,1,28,1,30,3,6,1,30,1,28,2,30,3,13,1,8,1,28,1,30,4,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,3,13,1,9,1,10,1,9,1,6,2,30,1,28,1,6,1,30,2,29,1,30,1,29,1,30,2,6,1,29,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,29,1,30,2,29,1,6,5,13,1,8,1,6,3,13,3,6,1,13,9,7,1,13,1,7,1,6,1,13,1,6,2,13,2,7,1,13,1,6,4,7,1,29,1,6,1,28,1,29,1,28,1,30,1,28,1,30,3,6,1,30,1,6,2,30,3,28,2,30,1,29,1,30,1,29,2,30,1,29,1,30,1,28,1,30,7,29,2,28,1,30,2,29,1,28,2,30,2,6,1,30,3,28,2,30,2,17,1,9,1,6,1,30,1,6,1,30,3,28,2,30,2,28,1,30,4,28,1,29,1,6,1,30,1,28,1,29,1,28,2,30,1,29,1,30,1,29,1,30,1,6,2,7,2,6,1,29,1,30,4,29,1,30,2,6,2,29,1,6,2,13,1,30,1,29,1,6,1,29,1,30,1,6,4,28,1,29,1,30,2,6,2,30,2,6,1,29,1,6,1,30,1,29,1,30,1,6,1,13,1,6,2,30,1,6,1,29,2,30,2,6,1,29,2,6,2,29,1,6,2,29,1,30,1,29,1,13,1,6,1,29,1,6,3,30,4,6,1,13,1,6,1,30,1,28,1,30,7,28,1,30,1,29,1,6,1,30,3,29,3,30,6,29,1,30,5,6,1,30,1,29,1,30,2,28,1,29,1,30,2,28,1,29,1,30,2,6,1,29,3,6,1,30,2,6,1,28,1,6,1,16,1,17,3,16,1,28,1,30,1,28,1,8,1,30,1,13,1,30,2,6,2,29,1,30,1,28,1,6,1,30,4,28,1,30,3,28,2,30,2,6,1,30,1,6,1,28,1,30,1,6,2,30,2,6,1,29,1,7,2,29,4,30,2,29,1,30,1,6,1,30,2,7,1,6,1,30,4,28,1,30,3,28,1,30,2,28,1,6,1,30,2,6,1,28,1,13,2,6,1,28,1,13,5,30,1,6,2,30,1,6,1,30,1,6,1,30,2,6,3,13,1,6,1,29,1,6,1,29,1,30,2,28,1,30,1,6,2,30,3,6,2,7,1,13,2,7,1,29,1,6,3,7,1,28,2,29,1,28,9,6,1,13,2,6,1,13,1,8,1,13,1,9,1,13,1,9,1,7,1,9,2,8,2,9,1,8,1,9,2,13,2,9,1,13,1,9,1,13,1,9,5,10,1,11,1,10,1,9,1,11,1,10,1,17,1,10,1,17,1,11,1,17,1,11,1,17,9,11,1,17,2,16,1,10,1,17,1,11,2,17,1,11,2,17,3,11,1,10,2,17,1,9,1,11,2,12,1,17,1,11,4,10,1,9,1,11,1,10,1,11,1,10,1,8,1,13,1,6,1,28,1,30,1,28,8,30,1,28,18,30,1,28,2,30,1,28,17,30,1,28,4,30,1,28,1,30,4,28,1,30,1,28,1,30,4,28,1,30,1,28,4,30,3,28,2,30,1,6,1,30,1,6,2,30,1,28,1,30,1,29,1,30,2,6,1,30,1,6,2,29,1,6,3,13,1,6,1,29,1,13,1,6,2,13,1,6,1,13,1,7,1,13,2,8,1,9,1,13,1,17,1,11,1,8,2,13,2,8,1,9,3,13,1,9,1,8,1,9,5,10,1,9,3,8,1,11,1,10,1,9,4,10,1,9,1,11,1,9,1,11,2,12,2,11,1,9,1,12,1,11,2,10,1,11,1,9,1,12,1,16,1,9,2,16,1,9,1,11,1,9,3,11,2,9,1,11,1,9,2,8,1,9,5,11,2,9,1,10,1,11,1,9,1,11,1,9,1,11,1,10,2,13,2,30,1,28,1,30,1,6,2,30,2,28,1,30,1,28,2,9,1,17,2,16,1,17,1,11,4,13,4,7,1,6,3,29,1,6,1,29,1,30,3,28,23,30,1,28,19,29,1,28,3,30,1,6,1,29,1,30,1,29,1,6,1,29,2,6,4,13,1,7,1,8,1,13,3,17,1,11,1,17,1,11,1,28,2,6,1,30,1,28,19,30,1,28,1,30,3,28,3,30,1,28,11,30,1,28,8,30,1,13,1,11,1,8,2,13,1,8,1,13,1,8,1,6,1,30,1,6,1,30,1,29,1,30,2,28,2,30,1,28,7,6,1,30,1,28,12,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,27,30,1,28,3,30,1,28,1,30,2,28,1,30,3,28,4,30,1,28,2,6,1,28,3,30,1,28,2,30,2,28,3,30,1,28,8,30,3,28,2,30,1,28,10,7,2,13,1,6,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,7,30,2,28,2,30,1,6,3,13,2,8,1,6,1,30,2,28,3,30,2,13,2,9,1,11,1,17,1,11,1,12,1,28,16,30,1,17,1,16,1,11,1,8,1,13,3,8,1,6,1,7,1,29,1,28,8,30,1,6,1,29,1,6,1,13,2,9,1,11,1,16,1,17,3,28,6,30,1,8,1,6,1,13,1,29,1,28,41,13,2,7,1,28,3,17,2,16,1,17,1,13,4,8,3,17,4,28,6,13,2,29,1,28,10,6,1,13,1,6,2,28,5,}, {11,1,17,2,10,1,17,1,16,1,17,1,9,2,13,2,30,1,28,1,29,1,28,1,6,1,24,1,7,1,28,33,30,1,29,1,28,2,29,1,6,1,30,1,29,1,30,3,7,1,29,1,6,2,30,1,29,1,6,1,30,1,29,1,13,1,24,1,12,1,6,1,30,1,29,1,6,1,28,1,13,1,9,3,6,1,13,2,7,1,8,1,13,1,8,1,12,1,17,4,12,1,16,1,12,1,13,1,6,1,29,1,6,1,29,1,6,1,13,1,17,1,13,1,6,1,8,2,13,2,17,6,16,1,11,1,16,1,11,1,10,1,17,1,11,1,17,3,10,1,6,2,13,2,7,1,13,1,24,1,10,1,29,1,28,34,30,2,13,1,8,2,9,2,10,1,30,4,28,2,13,1,17,3,16,2,17,1,11,1,9,1,8,1,13,1,8,1,11,1,13,1,6,1,13,1,7,1,6,1,7,1,13,2,8,1,9,1,10,1,13,1,11,1,16,2,11,3,16,2,28,14,13,3,6,1,29,1,6,4,29,1,6,1,13,2,28,1,6,2,30,3,6,1,28,1,6,1,29,1,13,2,6,5,30,1,13,1,30,1,6,1,30,2,6,2,29,1,30,2,6,1,30,1,28,1,29,1,28,1,30,1,28,1,6,1,28,1,6,1,28,1,30,4,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,1,7,1,6,1,28,1,30,2,28,9,30,1,28,3,30,1,28,5,30,2,28,1,30,1,28,1,29,1,7,1,28,1,6,1,30,3,28,1,6,1,30,2,6,1,30,1,28,1,30,2,6,1,30,2,29,1,6,1,30,1,6,3,30,2,6,1,30,2,6,1,30,1,7,1,6,2,30,1,6,1,30,2,6,1,30,2,29,1,6,1,29,1,28,1,30,2,6,1,30,1,6,1,29,1,30,1,6,1,7,4,13,1,6,4,30,1,6,1,30,1,13,1,30,1,13,3,8,2,13,2,30,1,6,1,30,2,28,1,30,4,28,1,30,1,7,1,30,1,28,1,30,5,6,2,29,1,30,2,6,3,29,1,28,1,6,2,30,2,28,1,6,1,29,1,6,1,28,1,6,1,7,1,30,1,28,1,30,1,6,1,8,1,13,1,30,1,28,8,30,1,13,2,11,1,17,2,12,1,9,1,11,1,9,1,10,1,9,1,10,2,13,1,8,1,9,1,13,1,9,1,8,1,9,3,13,3,7,2,13,2,8,2,13,1,9,1,13,2,6,1,13,4,6,1,13,2,6,1,13,1,8,1,13,1,7,2,13,2,7,1,6,1,7,1,13,1,29,1,7,1,29,1,13,2,6,2,7,4,6,2,30,1,6,1,7,1,6,1,30,1,6,1,30,1,7,1,6,1,30,1,6,2,30,3,6,2,30,2,6,1,30,1,29,1,30,1,6,1,30,1,29,2,6,1,30,2,28,1,29,1,30,1,29,2,30,1,6,2,29,1,30,1,13,3,7,2,8,1,13,1,8,1,13,1,9,1,8,2,29,1,6,2,7,2,13,1,7,1,8,1,13,2,8,1,13,1,8,2,24,1,8,1,12,1,8,1,10,1,24,1,10,2,9,8,24,1,9,2,10,3,8,1,9,1,10,3,11,1,8,2,24,1,11,1,9,1,8,1,6,1,30,1,28,5,30,2,29,1,30,1,27,5,26,1,27,1,29,1,26,1,24,1,8,1,25,3,15,1,24,2,25,1,24,2,8,2,25,2,8,1,24,2,8,2,24,1,8,2,24,6,8,1,24,8,8,1,26,1,27,1,25,1,27,1,29,3,28,7,30,1,29,1,27,1,29,2,27,1,25,1,26,1,27,1,26,1,8,2,24,4,25,1,27,2,25,1,27,1,26,1,25,4,24,3,8,2,24,2,8,1,25,2,26,1,30,1,6,2,30,2,29,1,28,1,29,1,30,2,6,1,30,5,28,3,30,1,6,1,7,1,6,1,13,2,6,1,7,1,30,1,6,1,28,1,30,1,6,3,28,1,30,3,6,1,30,1,6,1,30,2,6,1,30,1,29,2,6,2,30,5,29,2,28,1,29,1,28,1,13,1,6,2,29,1,30,1,6,2,29,3,6,1,28,1,30,2,6,2,29,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,7,1,6,1,30,1,6,1,29,1,6,5,30,1,6,5,30,1,6,1,7,1,29,3,6,1,9,1,13,1,6,1,29,1,6,3,28,1,29,1,6,3,30,1,29,2,6,1,30,4,6,1,29,1,6,1,30,1,6,1,30,4,6,1,13,3,8,1,13,5,6,1,7,1,6,1,29,1,28,2,29,1,30,1,28,1,30,3,29,2,30,1,29,1,30,1,29,1,30,2,29,1,30,1,28,1,6,1,30,2,6,1,30,2,13,1,6,2,29,1,30,1,6,2,13,1,6,1,29,1,30,1,6,1,7,1,6,1,7,1,13,2,30,1,6,1,13,3,6,1,30,2,29,1,30,1,6,1,28,1,29,1,6,2,29,1,6,1,30,2,29,1,6,2,30,1,29,1,30,2,6,1,29,1,6,2,7,1,13,1,29,1,6,1,30,2,29,1,30,1,29,1,30,1,6,3,30,1,7,1,6,2,28,1,6,2,29,1,30,1,29,1,30,1,29,3,30,2,6,1,28,2,30,1,6,1,28,2,30,1,28,1,30,2,28,1,6,1,30,5,13,1,29,1,6,3,28,1,6,1,29,1,30,1,28,1,13,1,28,1,30,1,28,1,6,1,28,1,30,4,28,1,29,1,30,1,28,1,30,1,29,1,30,1,28,1,29,1,30,1,28,1,30,2,28,1,30,2,6,1,29,1,30,5,29,1,28,1,30,2,6,1,28,1,6,1,13,1,6,1,30,1,29,1,28,1,30,2,28,2,30,2,29,1,28,1,30,3,28,1,30,2,28,2,30,2,6,2,28,1,6,1,29,1,30,2,6,2,13,1,6,1,28,1,6,1,30,1,6,1,30,1,6,3,13,1,6,2,29,2,6,3,29,1,6,1,30,1,29,1,13,1,29,1,30,1,6,3,29,1,6,1,29,1,6,1,13,1,6,2,28,1,30,2,6,4,30,1,29,1,6,2,7,1,13,1,6,5,30,1,7,1,29,1,6,1,7,1,13,3,6,2,29,1,6,1,30,3,6,4,28,1,29,3,30,2,13,1,30,1,6,3,13,1,6,1,7,2,6,2,29,1,30,1,6,1,28,1,29,1,6,2,29,1,28,2,6,1,30,1,6,1,29,1,6,1,28,1,6,1,7,1,30,1,6,1,29,1,28,1,30,1,28,1,6,1,30,1,29,1,30,3,28,4,13,1,7,1,9,1,6,6,30,1,6,1,29,1,6,1,28,1,30,2,29,1,30,2,29,1,30,2,28,1,6,3,30,2,28,1,30,1,28,2,6,4,30,1,13,1,6,1,13,1,6,1,13,5,8,1,13,5,8,1,13,2,7,2,6,1,7,1,29,1,30,1,6,1,7,1,6,1,29,1,6,1,13,1,30,1,6,4,30,1,7,1,6,1,30,9,29,1,6,1,29,1,28,2,29,1,28,1,30,2,6,1,30,2,6,1,30,1,28,2,30,1,6,1,30,1,28,1,6,1,30,4,28,1,30,2,28,3,30,1,28,3,30,1,28,1,30,3,28,1,17,1,9,1,28,1,29,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,2,6,1,28,1,6,1,28,1,29,2,30,1,29,2,6,4,30,1,6,3,29,1,6,1,30,2,29,1,28,1,13,1,6,1,29,1,30,2,6,1,30,1,6,1,30,2,7,1,6,1,30,2,6,2,29,1,13,1,6,1,30,1,6,1,30,3,6,1,28,1,29,1,30,4,6,2,30,1,6,1,29,2,30,3,29,1,6,2,30,1,6,2,30,2,6,1,30,1,6,1,28,1,30,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,6,1,28,1,6,1,30,3,28,2,29,1,28,1,30,2,28,1,30,2,28,1,6,1,28,1,6,1,30,1,6,1,28,2,6,1,30,1,28,1,30,1,29,1,30,3,28,1,30,1,28,1,30,2,6,2,30,1,29,1,6,1,29,2,6,1,7,1,30,1,6,3,29,1,30,1,6,1,30,1,6,1,17,4,8,1,28,1,6,1,30,1,13,1,28,1,13,1,30,1,6,1,30,1,28,1,29,2,30,1,6,1,28,1,6,1,30,5,28,1,30,1,29,1,30,2,29,1,6,1,30,1,6,1,30,1,28,1,6,2,29,1,6,4,29,1,30,1,29,1,6,2,29,1,6,1,29,1,30,1,6,4,28,1,30,3,6,1,30,4,28,1,30,1,28,1,30,1,6,1,30,1,29,1,7,1,13,1,30,2,6,2,13,3,30,1,13,1,30,1,6,2,30,1,29,1,6,3,29,1,6,1,30,1,6,1,30,2,6,1,30,1,29,2,6,1,30,1,6,1,30,2,6,3,29,1,7,1,13,1,6,1,30,1,6,2,29,1,6,1,13,1,30,1,28,1,29,1,6,1,28,9,9,1,13,5,8,2,13,2,8,1,13,1,9,1,13,3,9,1,13,2,8,1,13,2,9,1,8,2,9,1,11,1,10,1,11,1,10,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,16,1,11,1,16,1,17,3,11,1,17,11,11,1,17,1,11,1,16,1,11,2,17,3,12,1,17,1,11,1,12,1,9,1,17,1,11,4,10,1,11,1,12,1,11,2,9,1,10,1,16,1,9,1,11,1,8,1,13,1,6,2,28,1,30,1,28,22,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,10,30,1,28,5,30,2,28,2,30,4,28,1,30,1,28,2,30,1,28,4,30,2,6,1,29,1,30,1,28,1,30,1,28,1,13,1,6,1,30,4,29,1,30,1,29,1,6,3,29,2,6,4,13,3,6,1,13,1,7,1,13,5,6,1,13,2,8,1,10,1,13,2,9,1,13,1,8,1,9,2,8,1,13,1,9,1,8,1,9,9,11,1,12,1,9,2,8,1,9,1,8,2,9,1,11,1,8,1,11,1,9,1,12,1,9,1,10,1,9,2,17,1,8,1,11,1,8,1,11,1,9,2,11,3,9,1,11,1,9,2,16,2,10,1,13,1,8,1,9,1,13,2,11,3,17,1,16,2,17,1,11,1,17,1,11,1,9,2,13,2,6,1,30,1,6,1,30,1,28,1,6,1,29,1,30,1,6,3,30,1,28,1,30,5,9,1,17,2,16,1,9,5,13,5,6,6,30,1,28,1,30,1,28,17,30,1,28,3,30,1,28,1,30,1,28,2,29,1,30,1,28,9,30,1,28,4,29,2,28,1,30,1,6,1,30,1,6,1,29,1,6,2,13,1,29,1,6,2,7,1,6,1,7,1,8,1,13,3,9,1,11,2,17,1,9,1,6,1,30,1,13,1,6,1,29,1,28,12,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,5,30,1,28,2,30,1,28,16,13,1,8,1,13,4,6,1,13,1,7,1,6,1,30,1,6,1,29,1,6,1,30,1,28,5,30,2,28,2,30,2,28,7,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,2,28,2,30,3,6,1,29,1,30,3,28,1,30,3,28,1,30,2,6,1,28,1,30,1,6,1,28,19,30,1,28,2,30,1,28,1,30,3,28,3,30,6,28,1,30,3,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,13,30,1,28,2,30,1,29,1,28,2,30,1,6,1,30,2,28,7,30,1,28,3,6,1,13,2,6,1,30,2,28,4,30,1,28,9,6,1,30,2,6,1,7,1,6,1,13,5,28,7,30,1,13,1,8,1,17,3,11,1,28,16,13,1,14,1,17,1,10,1,13,1,8,1,13,1,8,1,13,1,29,1,13,1,28,6,29,1,28,2,6,1,28,1,6,1,13,2,8,2,9,1,17,1,11,1,17,2,28,6,7,1,8,1,13,1,30,2,28,41,6,1,13,1,30,1,28,2,13,1,11,1,17,1,16,2,8,1,9,1,13,1,8,1,13,1,7,1,13,1,11,1,17,3,28,6,29,1,6,1,30,1,28,9,6,1,13,1,6,1,8,1,6,1,28,5,}, {17,3,11,1,16,1,11,1,16,2,9,1,8,1,6,1,30,1,28,3,6,1,8,1,24,1,6,1,28,31,29,1,28,4,6,1,30,1,29,1,30,1,13,1,30,2,29,1,30,1,29,1,30,2,29,1,30,2,6,1,10,1,13,1,9,1,13,1,8,1,29,1,6,1,30,1,13,1,11,1,10,1,8,1,7,1,13,1,7,1,8,2,24,1,9,2,12,1,17,2,16,1,17,2,11,1,8,1,13,2,29,1,6,1,28,1,10,1,9,1,13,1,8,1,13,1,8,2,13,1,17,3,16,2,17,1,14,1,16,2,10,1,17,1,16,1,17,4,9,1,6,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,28,34,29,1,6,1,8,2,13,1,9,3,30,1,6,1,29,2,28,2,24,1,17,5,16,2,9,1,8,3,9,1,8,1,13,3,6,1,8,1,13,1,6,1,13,1,8,1,11,3,17,2,16,2,11,1,14,1,9,1,28,14,6,1,13,1,6,3,30,1,6,1,13,1,6,1,29,1,13,1,30,1,6,1,13,2,6,1,7,1,6,1,28,1,30,2,6,2,30,3,6,2,7,1,6,2,30,1,6,1,30,1,29,1,13,1,30,1,6,2,29,1,6,1,30,2,6,1,30,1,6,2,28,1,6,1,30,1,28,2,29,1,30,1,6,1,28,1,6,1,30,3,6,1,28,1,30,2,29,1,28,12,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,29,1,28,1,30,1,28,1,30,3,28,1,29,1,30,1,28,1,6,1,30,1,28,1,30,1,6,1,30,2,29,1,30,2,6,1,30,2,29,1,30,1,6,1,30,2,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,3,28,1,30,1,29,1,6,1,7,1,6,1,28,2,29,1,30,1,29,1,28,1,6,1,30,1,28,1,6,3,7,1,30,1,13,1,28,1,29,1,30,1,6,2,30,2,6,2,8,1,13,2,8,1,13,1,30,1,6,2,30,3,28,1,29,1,30,2,28,2,29,1,6,1,30,1,6,1,28,1,30,2,6,1,28,1,6,1,30,1,6,1,30,3,7,1,30,1,29,1,6,1,30,1,28,1,30,4,6,1,28,1,30,1,6,1,29,1,30,2,7,1,13,1,6,1,30,1,28,8,6,1,13,1,9,1,12,1,11,1,17,2,11,1,9,2,11,1,9,1,8,1,11,1,9,1,13,2,8,1,13,1,9,1,8,2,9,1,8,1,6,2,13,1,6,1,9,2,8,1,13,1,24,1,13,3,7,1,13,7,6,3,13,2,29,2,6,1,13,1,6,1,7,3,6,1,13,1,6,1,8,1,6,1,13,1,6,2,7,1,6,6,28,1,13,1,28,1,6,1,29,1,6,1,30,1,6,1,30,3,28,1,30,1,6,1,29,2,6,1,30,1,6,1,30,2,29,1,30,2,29,1,30,2,28,1,30,2,6,2,29,1,13,1,29,1,30,1,7,1,29,1,13,2,6,1,13,1,7,1,13,2,11,1,8,2,7,1,29,1,6,1,13,2,7,1,13,4,24,1,8,1,24,2,9,1,24,1,9,1,11,1,24,1,9,2,17,1,10,1,17,1,11,1,10,1,9,2,10,1,24,1,11,1,9,3,10,2,12,2,10,1,9,3,11,1,17,1,9,1,13,1,30,1,28,7,30,2,29,1,27,1,29,1,27,3,26,1,29,1,27,2,26,1,25,1,27,1,8,1,25,1,24,6,25,1,8,2,25,1,8,1,25,1,24,2,25,2,24,2,8,2,24,1,8,1,24,1,25,2,24,10,25,1,27,2,26,1,27,1,29,2,30,1,28,6,30,1,29,2,27,3,26,1,27,1,25,2,8,1,24,5,25,1,26,1,27,1,29,1,25,1,27,1,25,1,27,1,25,3,24,1,15,1,24,4,8,1,24,1,26,1,27,1,7,1,6,1,29,4,6,1,28,2,6,1,30,1,29,1,30,2,6,1,28,1,6,1,30,2,29,1,30,2,6,1,30,2,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,3,29,1,30,1,28,1,30,2,7,1,30,1,6,5,30,2,28,1,30,3,29,1,30,2,6,1,30,4,6,1,30,7,28,1,30,1,29,1,6,1,30,1,29,2,30,1,6,1,29,1,30,1,28,1,30,1,29,2,30,2,6,1,30,1,6,2,30,1,6,4,30,1,29,1,6,3,30,2,6,5,13,1,6,2,7,1,6,2,30,1,6,2,29,1,6,1,7,1,13,1,6,1,30,2,29,1,6,2,28,1,30,1,6,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,3,8,1,6,1,7,1,8,1,13,3,8,1,13,2,6,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,28,1,30,4,29,1,28,1,6,1,28,1,30,1,28,2,29,2,6,1,30,1,13,2,6,3,30,2,6,2,13,1,8,2,13,1,30,1,6,1,28,2,30,2,6,1,29,2,6,1,29,1,30,3,29,1,6,1,30,1,28,1,13,1,30,1,6,2,30,1,28,2,29,2,6,1,30,1,6,3,30,2,6,1,30,1,28,1,6,1,30,1,6,7,28,1,6,4,30,1,29,1,30,1,28,1,30,4,6,1,30,1,6,1,28,1,29,1,30,10,6,1,30,1,6,1,30,1,29,1,6,3,30,1,29,1,28,1,29,1,6,1,30,1,29,1,30,3,6,1,30,4,28,1,30,4,28,1,30,10,29,1,6,1,30,1,28,2,30,3,29,1,28,1,6,1,30,1,6,1,16,1,30,1,28,1,6,1,28,1,30,6,28,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,6,1,28,1,30,1,29,1,30,3,29,1,30,1,6,2,30,1,6,1,30,1,6,2,29,1,6,1,7,1,30,1,6,1,30,1,6,1,13,3,6,2,29,1,13,1,6,2,30,1,6,3,7,1,29,2,6,1,30,1,28,1,6,2,29,1,6,1,30,1,6,1,30,2,28,1,30,1,13,4,7,1,13,1,6,3,29,1,6,7,13,1,7,2,13,3,6,1,30,1,6,7,30,1,6,1,30,1,29,1,6,2,13,2,30,1,6,1,13,1,6,1,13,1,7,1,6,1,7,1,13,1,7,1,29,1,6,1,30,1,29,1,6,1,30,2,6,2,28,1,6,1,30,3,29,1,28,2,6,1,13,1,7,1,30,3,29,1,6,2,30,2,28,1,29,2,13,1,7,1,13,1,8,1,6,4,30,2,6,1,30,2,29,1,30,1,6,1,29,2,6,1,30,2,6,1,30,1,29,2,6,1,30,2,29,1,30,2,29,1,6,1,29,1,6,1,29,1,7,1,29,1,13,2,7,1,6,1,13,3,29,1,8,2,13,4,8,2,13,1,9,1,6,2,13,1,6,1,7,1,13,1,6,2,30,1,13,1,6,3,30,1,6,1,30,3,29,1,28,1,30,1,6,1,30,1,28,1,29,1,28,1,30,2,28,1,6,1,30,1,6,1,30,6,6,2,30,6,29,1,28,2,29,1,30,2,28,1,29,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,3,6,1,16,1,6,2,28,2,6,1,28,3,30,3,28,1,30,4,28,3,6,1,13,1,29,1,30,4,28,1,30,2,28,1,6,1,13,1,30,1,28,1,6,1,29,2,30,2,28,2,6,2,30,2,29,1,30,2,28,1,30,2,29,1,6,1,30,1,28,1,30,2,28,1,30,4,6,1,30,1,29,1,30,4,29,1,6,1,30,1,29,1,28,1,29,1,30,1,6,1,29,1,6,2,29,2,6,2,30,1,6,1,13,1,30,1,29,1,6,1,7,1,30,2,29,1,28,1,6,1,13,1,6,2,30,2,6,1,30,2,7,1,30,1,29,1,28,1,29,1,30,2,6,1,30,2,28,1,29,1,30,3,6,1,30,3,28,1,30,4,28,1,29,1,30,2,29,1,30,1,28,1,29,1,30,1,29,2,30,1,28,1,30,1,28,1,29,1,30,2,29,1,6,3,29,1,13,1,29,1,6,2,30,1,6,1,28,1,17,3,16,1,13,1,30,1,6,1,30,1,13,1,6,2,28,1,29,1,30,1,29,1,28,1,30,1,29,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,4,29,2,6,1,30,2,6,2,13,2,29,1,30,1,6,3,30,1,29,1,30,2,6,2,13,1,30,2,6,1,29,1,30,1,6,1,28,1,30,1,28,1,30,3,28,1,30,1,29,1,6,2,13,2,29,1,6,3,29,1,6,4,7,1,6,1,29,1,30,2,28,1,6,1,30,1,6,1,29,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,29,1,6,3,13,1,6,1,13,2,6,6,28,1,30,1,28,1,30,1,28,8,7,1,13,5,8,1,13,1,9,1,10,2,13,1,8,2,13,3,9,1,13,2,8,1,9,1,8,1,9,1,8,1,9,2,12,1,9,2,11,1,17,1,9,1,11,1,8,1,11,1,9,1,11,1,16,1,11,1,12,1,16,1,17,11,16,3,11,1,17,1,11,2,17,2,16,1,12,2,17,2,11,1,10,1,11,2,17,1,11,1,12,1,11,1,10,1,11,1,9,2,11,1,16,1,10,1,9,1,11,1,8,2,13,1,6,1,28,6,30,1,28,15,30,1,28,26,30,2,28,4,30,3,28,1,30,1,28,3,30,1,28,2,30,3,6,1,30,1,28,1,30,1,28,1,30,1,29,1,6,4,29,1,30,2,6,1,7,1,29,1,7,1,29,1,30,1,13,1,6,4,7,2,13,1,6,2,13,1,6,1,13,6,8,1,13,1,8,2,9,1,8,1,13,1,8,2,9,1,8,1,9,3,8,2,9,2,8,1,9,3,10,1,9,2,8,1,10,2,8,1,11,1,8,1,9,2,8,1,9,2,8,1,12,1,10,1,9,11,11,5,16,1,9,1,17,1,10,1,13,2,28,5,30,1,28,1,30,2,6,1,13,1,6,1,30,3,6,1,30,1,6,1,30,1,6,1,30,3,28,2,30,2,6,1,30,1,28,4,30,1,28,1,6,1,13,1,11,2,16,1,12,1,9,2,8,1,13,3,6,2,29,1,6,1,7,1,6,1,7,1,6,1,30,1,28,1,30,1,28,17,30,1,28,8,30,1,28,12,30,2,29,1,6,2,28,1,30,1,29,1,6,2,29,1,6,2,30,2,6,2,29,1,13,2,8,1,7,1,8,1,9,1,8,1,11,2,17,1,11,1,6,1,28,1,6,2,28,22,6,1,28,13,30,2,28,6,30,1,28,4,8,1,9,1,8,1,13,2,8,1,13,2,7,1,6,1,30,1,6,2,30,2,28,9,6,1,28,7,30,5,6,1,30,2,28,1,30,1,29,1,30,1,6,1,30,3,28,1,30,1,28,1,6,1,30,7,28,1,30,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,4,30,1,28,10,29,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,2,30,1,28,2,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,8,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,8,30,1,28,1,30,2,6,2,13,1,28,1,30,1,28,6,30,1,28,2,30,1,6,1,30,2,28,2,6,2,13,1,6,1,13,1,7,1,6,2,13,2,30,1,28,7,30,1,13,1,11,1,17,2,9,1,28,16,9,1,17,1,16,1,9,2,13,1,8,1,13,1,7,1,6,3,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,7,1,13,1,8,1,11,2,16,1,17,1,16,1,28,6,30,1,13,1,8,1,6,1,30,1,28,41,13,1,30,2,28,3,17,2,11,2,9,1,13,1,8,1,13,1,8,2,16,1,9,1,16,1,17,2,28,6,6,1,8,1,30,1,28,9,29,1,6,1,7,1,13,1,30,1,28,5,}, {10,1,17,3,11,1,16,1,17,1,12,1,9,1,8,1,30,1,6,1,28,1,30,1,28,1,29,1,8,2,28,39,6,1,28,1,30,1,6,1,30,2,28,7,6,1,8,1,24,1,10,1,13,1,29,1,7,1,30,1,13,2,9,2,8,1,6,1,13,1,7,1,13,4,17,1,11,1,17,5,16,1,10,1,13,1,30,1,29,1,30,1,28,1,8,1,9,1,13,1,8,1,13,2,8,1,9,1,16,1,17,4,11,1,16,1,11,2,16,1,9,2,17,1,10,1,17,2,16,1,6,1,13,1,7,1,13,1,7,1,13,1,8,2,13,1,28,35,13,1,9,1,24,1,13,1,11,1,16,1,10,1,7,1,29,1,6,2,30,1,13,1,6,1,17,7,16,1,8,1,9,1,8,3,7,1,6,2,7,2,13,3,24,1,9,3,17,1,9,1,11,1,10,1,17,1,16,1,11,1,28,14,30,1,13,1,6,1,29,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,30,1,13,1,6,1,7,1,6,3,29,1,30,2,6,1,29,1,6,3,7,1,6,2,30,1,6,1,7,1,29,1,6,1,30,2,6,1,29,1,6,1,29,1,6,1,28,1,6,1,30,3,6,1,28,1,6,1,30,3,13,1,30,1,29,1,30,1,28,1,30,2,28,1,6,1,28,1,29,1,6,1,29,1,30,1,28,10,6,1,30,3,28,1,30,3,28,1,29,1,28,2,30,2,28,3,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,4,29,1,13,1,6,1,30,1,6,3,30,2,6,1,30,1,28,1,30,1,6,1,30,4,29,1,6,1,30,1,28,1,30,1,29,1,28,1,30,3,6,2,30,1,28,1,6,1,30,1,6,1,30,2,6,2,28,1,30,1,29,1,6,1,30,2,28,1,6,2,30,1,6,1,13,1,6,1,29,1,6,2,29,1,6,3,13,1,6,1,9,1,8,1,13,1,30,2,28,1,6,1,29,1,28,1,30,2,6,1,28,1,6,2,28,3,6,1,30,3,28,1,6,1,30,1,29,1,30,3,6,1,28,2,30,3,29,1,30,3,28,1,30,1,29,1,30,1,28,1,6,1,28,1,6,2,13,3,28,3,30,1,28,4,6,2,9,2,10,1,12,1,17,3,12,1,8,1,12,1,9,1,10,1,8,1,9,1,8,1,13,1,8,1,9,1,10,1,9,1,8,1,13,2,8,1,29,1,13,1,9,2,8,1,13,4,8,1,7,1,9,1,29,1,8,1,13,1,7,1,13,4,7,2,6,1,13,1,6,1,7,2,13,1,7,1,29,1,6,1,13,2,6,1,13,1,7,1,6,1,13,1,7,1,6,1,7,2,6,1,13,1,6,1,13,1,30,4,6,2,29,1,6,2,28,1,7,1,30,1,6,1,30,1,6,3,30,2,29,1,30,1,6,1,28,2,30,1,28,1,29,1,30,1,28,1,6,1,30,1,7,1,13,1,29,2,6,1,29,1,7,1,6,1,8,1,13,4,10,1,8,1,9,1,13,1,6,2,7,1,6,1,13,3,7,1,13,4,9,1,8,1,9,6,8,1,24,1,9,1,11,1,12,1,11,1,9,1,12,1,8,1,9,4,11,1,9,2,8,2,9,1,11,2,9,1,13,1,6,1,29,1,28,9,30,2,29,2,26,1,27,4,26,1,27,1,26,1,25,1,24,1,25,3,24,6,8,1,25,1,24,1,8,1,25,1,8,1,25,2,8,1,24,1,8,1,25,1,24,5,25,1,24,8,25,1,26,1,25,1,29,1,27,3,29,2,30,1,28,7,29,1,27,2,30,1,26,1,25,4,24,1,25,1,24,4,25,1,27,1,29,1,25,1,26,1,25,2,26,1,25,1,26,1,8,1,25,1,24,1,15,1,24,2,8,1,24,2,25,1,29,1,6,1,28,3,30,1,28,5,30,1,6,1,30,3,28,2,30,1,29,1,30,2,6,1,29,1,7,1,29,1,6,2,30,1,29,1,30,1,29,1,30,1,28,1,30,1,6,2,28,1,6,1,28,1,30,2,28,1,30,1,28,1,6,1,30,2,28,1,29,1,30,1,6,1,30,6,28,1,30,1,29,1,28,1,9,1,13,1,28,1,30,1,29,1,30,4,13,1,30,3,6,2,30,1,6,1,30,4,6,1,30,1,6,2,29,1,6,2,29,1,6,3,30,2,29,1,6,2,29,1,30,1,6,9,7,1,13,2,29,1,6,2,13,1,30,1,6,6,13,2,30,2,6,2,29,1,30,1,6,2,13,1,30,2,13,1,6,1,30,1,6,1,29,1,6,1,30,1,29,1,6,3,29,1,6,1,13,1,28,1,8,2,6,2,13,1,6,1,28,1,6,1,30,2,29,1,30,1,29,1,30,2,6,1,28,1,30,7,29,1,30,1,6,1,7,1,29,1,13,2,9,1,6,1,28,1,30,1,28,1,30,1,6,1,9,2,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,6,2,29,1,30,1,13,1,7,1,6,5,30,1,28,1,30,2,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,2,28,1,6,2,30,1,29,1,30,1,6,2,30,1,6,1,29,1,6,1,29,1,30,2,29,1,30,1,6,1,29,1,30,3,29,1,30,3,29,1,28,2,6,1,28,1,30,1,28,1,30,3,28,1,6,1,30,3,6,3,30,2,6,1,28,2,30,3,6,2,28,1,30,1,29,1,30,2,28,3,30,1,28,1,30,2,28,1,30,6,28,1,6,1,28,1,30,2,6,1,30,4,28,3,30,3,28,2,30,1,7,1,11,1,6,1,30,1,29,1,30,1,28,3,30,2,29,1,30,2,28,1,30,1,28,1,30,3,28,1,30,1,6,1,30,3,28,1,30,2,28,1,29,2,6,2,30,1,29,1,30,2,13,1,6,4,7,1,6,5,7,1,6,2,7,1,29,1,6,1,30,1,6,1,30,1,6,2,30,1,7,1,30,1,6,1,13,1,6,1,30,1,6,2,28,1,6,1,29,1,6,1,13,3,8,1,6,1,13,1,29,1,6,3,7,1,6,4,13,3,6,1,13,2,6,6,30,1,6,2,29,1,6,3,30,1,6,1,7,1,13,1,6,1,7,1,13,1,7,2,6,2,29,1,7,1,6,2,29,1,30,4,29,1,6,1,30,2,6,1,28,1,29,1,6,1,30,1,28,1,6,1,28,1,30,1,9,1,13,2,29,1,6,1,29,1,30,1,29,2,30,1,28,1,13,1,10,1,9,1,29,1,6,1,29,1,30,1,6,7,30,1,29,2,30,1,13,2,30,1,29,1,30,4,6,3,28,1,6,1,29,1,30,1,29,1,6,4,13,1,6,2,7,1,6,3,13,1,7,1,13,4,7,1,6,1,29,1,13,6,30,1,6,1,13,2,6,1,30,1,6,1,29,1,7,2,6,1,29,1,6,4,29,2,30,1,28,1,30,2,28,1,30,1,28,1,30,3,29,1,6,2,30,1,28,1,30,1,6,1,28,1,6,1,29,1,6,1,30,2,29,1,30,2,6,1,28,1,6,1,29,1,30,2,6,1,30,2,29,1,30,1,28,1,30,7,6,1,28,2,30,1,28,1,30,1,28,1,9,1,16,1,28,1,30,1,6,3,28,3,30,2,28,1,30,1,28,1,29,1,28,1,30,2,28,2,30,5,29,1,30,4,6,2,13,1,6,1,13,1,30,1,6,1,29,2,6,1,29,1,7,1,28,1,30,1,6,1,30,1,6,1,30,2,28,2,30,1,6,1,30,5,6,2,30,2,28,1,30,1,28,1,30,3,6,1,30,1,6,1,30,1,29,1,6,2,30,3,6,2,29,1,13,1,30,2,7,1,13,2,30,1,29,1,6,1,8,1,6,1,29,2,7,2,6,1,30,2,6,1,30,1,6,1,29,1,28,1,30,1,6,1,29,1,30,5,29,1,30,1,29,1,28,1,30,2,28,1,30,5,28,1,29,1,30,1,29,1,30,1,29,2,30,1,28,1,30,1,29,1,30,1,28,1,30,3,29,1,30,1,6,1,28,1,6,2,28,1,6,1,13,3,6,2,7,1,6,1,29,1,30,1,29,1,9,1,10,1,8,1,30,3,28,1,30,1,13,2,30,3,28,1,30,3,28,2,30,1,6,1,28,1,30,3,29,1,30,4,6,1,29,1,28,1,30,1,28,2,6,1,28,1,30,1,6,2,13,1,6,1,30,2,29,2,6,1,29,1,6,1,30,2,29,1,6,2,29,2,6,3,30,5,28,2,30,2,6,2,8,1,9,1,13,1,29,1,30,1,13,1,6,1,30,1,13,1,6,1,13,1,6,3,30,2,6,1,29,1,28,1,30,3,6,1,30,1,6,1,30,1,29,1,30,3,29,1,28,1,30,3,6,2,30,1,6,4,7,1,13,1,6,7,30,1,28,10,30,1,13,5,9,2,8,2,10,1,9,3,13,1,8,1,13,2,8,1,13,2,8,2,9,4,11,1,9,6,10,1,9,3,11,1,17,1,11,1,17,1,11,3,17,20,12,1,11,1,17,1,9,1,17,1,11,2,12,1,11,2,17,1,11,2,10,1,11,1,17,1,9,1,17,1,9,1,8,1,13,1,8,1,9,1,13,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,10,30,1,28,14,30,1,28,17,30,1,28,2,30,1,28,5,30,1,28,4,30,1,13,1,30,1,6,1,30,4,28,1,13,1,30,1,6,1,30,1,6,2,30,1,6,1,29,1,6,4,30,1,13,1,6,6,13,1,6,1,13,1,6,1,13,5,7,1,9,1,13,1,8,1,9,1,8,1,13,1,8,2,13,1,9,1,13,1,8,2,13,1,9,1,8,1,9,1,8,1,9,2,8,2,9,3,10,2,9,2,13,1,9,6,8,2,9,1,10,3,8,1,10,1,9,2,13,1,9,1,8,1,9,4,16,1,10,1,16,1,9,1,11,2,17,1,9,1,13,2,28,1,30,1,28,5,30,2,29,1,30,6,6,2,30,1,6,1,30,1,28,2,30,2,28,3,30,1,6,1,30,2,6,2,13,1,17,1,11,1,12,1,9,1,8,1,13,2,7,1,13,1,7,2,6,3,29,1,30,2,29,1,30,1,28,6,29,1,6,1,28,20,30,1,28,12,30,1,6,2,29,1,28,2,6,1,29,1,28,1,30,2,6,3,30,1,29,1,6,1,13,1,7,1,13,3,9,1,11,1,9,1,11,1,17,1,9,1,13,1,6,2,29,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,29,1,30,2,28,3,30,1,28,12,30,1,28,1,30,1,28,5,30,1,13,1,9,1,13,2,11,1,8,1,13,2,6,1,30,1,29,1,6,1,30,2,28,9,30,1,28,4,30,1,6,1,28,1,29,1,6,1,29,1,6,1,13,1,7,1,30,1,6,1,28,1,30,3,28,1,30,3,28,1,30,3,29,1,28,2,30,1,28,2,30,1,28,2,6,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,5,13,2,28,12,30,1,28,10,30,1,28,6,30,1,28,2,30,1,28,6,30,1,28,3,30,2,28,1,30,1,28,3,30,1,28,1,30,2,28,4,30,3,28,6,30,1,28,2,30,2,13,2,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,3,13,2,6,1,7,1,6,1,28,1,30,1,6,1,8,1,13,1,30,1,28,4,30,1,28,1,30,1,7,1,13,1,17,1,11,1,10,1,28,16,13,1,17,2,9,1,8,1,13,1,7,1,13,1,6,1,7,1,13,1,6,1,30,1,28,2,30,1,28,3,30,2,28,2,7,1,13,2,8,1,10,1,16,1,11,1,17,1,10,1,28,7,8,2,6,1,28,41,30,1,8,1,6,1,28,1,30,1,28,2,17,1,14,1,17,1,8,1,9,1,13,1,9,1,13,1,7,1,9,1,11,2,17,3,28,6,13,2,28,9,30,1,29,1,7,1,13,1,30,1,29,1,28,5,}, {10,1,17,3,16,1,11,2,9,2,13,2,28,1,29,1,28,3,8,1,13,1,6,1,28,33,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,4,29,1,6,1,13,1,9,2,8,1,6,4,13,1,8,1,10,1,9,1,13,1,6,2,8,1,7,1,13,2,17,6,16,2,9,1,13,1,30,1,28,1,30,1,13,1,10,1,8,1,24,1,13,2,7,1,13,1,8,1,11,1,17,4,16,1,11,2,12,1,8,2,10,1,9,1,11,1,17,2,16,1,13,1,29,1,13,3,29,1,13,1,9,1,13,1,28,8,30,1,28,3,13,1,28,2,30,1,28,19,29,1,13,1,10,1,11,1,9,1,11,2,13,1,7,1,29,1,30,2,28,1,8,1,17,7,11,1,12,1,8,1,9,1,8,1,13,1,8,1,13,1,7,1,13,2,8,1,6,1,8,1,13,1,8,1,12,1,9,2,10,1,16,1,11,1,16,1,17,1,14,1,28,15,13,2,6,4,28,1,13,1,6,1,7,1,13,3,6,1,30,1,13,1,30,1,28,1,6,1,30,1,13,1,6,3,28,1,29,1,7,1,13,2,6,2,13,1,30,1,7,1,6,1,30,1,13,1,29,1,30,1,29,1,30,1,28,1,30,3,28,1,30,2,6,1,28,3,6,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,6,1,30,1,28,10,30,2,28,5,30,1,28,7,30,3,28,5,30,2,6,1,30,2,13,1,30,4,28,1,30,5,6,1,30,1,29,1,7,1,30,5,6,1,30,2,29,2,28,1,6,1,28,1,30,4,28,1,30,1,29,1,6,1,7,1,30,1,6,1,28,1,30,2,6,1,30,3,6,1,30,1,6,1,30,1,6,1,13,1,6,1,7,1,6,2,30,1,6,1,30,1,7,1,30,1,6,1,13,1,8,2,9,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,3,28,1,29,1,30,1,6,1,28,1,6,1,30,4,6,1,30,1,6,2,28,1,6,1,30,1,13,1,29,1,28,1,30,5,29,1,28,1,30,1,6,1,30,1,28,1,6,1,28,1,13,1,28,1,7,1,13,1,6,1,28,8,30,1,13,1,8,1,9,1,17,2,9,1,17,2,11,1,8,1,10,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,10,1,9,1,8,1,24,1,13,2,9,1,13,2,8,1,9,1,13,1,8,1,13,2,9,1,13,2,7,1,13,4,7,1,6,4,13,1,7,1,13,1,6,1,7,2,6,1,7,2,6,1,13,1,6,1,7,1,6,1,13,2,6,3,7,2,6,4,30,1,6,1,30,1,6,1,29,1,30,2,29,1,6,1,29,2,30,2,29,1,6,3,30,1,28,1,30,1,28,1,29,1,7,1,6,1,30,1,28,1,6,1,30,1,29,2,30,1,13,1,6,2,7,1,13,5,8,2,11,1,10,1,13,1,6,2,13,1,6,2,13,3,7,1,9,1,13,1,8,2,9,1,8,1,9,1,11,1,10,1,9,5,24,1,13,2,24,1,16,1,12,2,17,1,11,2,17,2,9,1,10,1,12,1,9,1,13,1,30,1,29,1,6,1,28,1,29,1,28,6,30,2,29,2,27,4,26,1,25,1,26,1,25,1,27,2,26,1,25,2,26,1,8,2,24,5,26,1,24,2,25,1,24,3,8,1,25,1,8,1,24,3,25,1,24,3,8,1,24,10,25,1,27,1,26,1,29,2,28,1,29,2,30,1,28,2,30,1,28,2,30,1,28,1,27,1,29,1,27,2,25,2,26,1,27,1,25,2,8,1,24,1,8,1,24,1,25,2,26,2,27,2,26,1,27,2,25,3,27,1,25,1,24,1,15,1,24,2,8,1,25,1,7,1,30,1,29,1,30,2,28,1,29,1,28,2,30,1,28,2,30,2,29,1,30,1,29,1,28,3,6,1,30,3,28,1,6,1,13,1,6,1,30,2,6,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,6,1,30,2,29,1,30,1,29,2,30,1,29,1,6,1,29,3,30,1,6,2,30,1,6,2,29,1,6,3,30,1,6,1,30,1,13,2,6,1,29,1,30,1,29,1,6,2,30,1,13,1,30,2,6,3,30,1,29,2,30,1,6,1,30,3,6,2,30,3,29,1,30,2,6,1,29,1,6,1,7,1,30,3,29,1,6,1,28,1,6,2,29,1,6,1,30,1,6,1,30,1,13,2,6,2,30,2,6,1,30,1,6,2,30,1,29,1,6,2,30,1,13,4,6,3,7,1,6,1,13,1,30,1,6,1,29,2,28,1,6,1,29,2,30,1,6,2,29,3,6,3,29,1,30,1,6,2,13,1,6,1,8,1,6,1,29,1,6,1,30,1,28,2,30,1,28,2,30,2,28,1,30,3,29,1,30,1,28,1,13,1,30,1,6,1,7,1,28,1,30,1,29,1,13,2,8,2,9,1,10,2,29,2,28,1,30,2,29,1,28,2,30,2,28,1,30,4,28,1,6,1,28,1,30,1,29,1,30,1,29,1,6,1,30,2,6,1,30,2,6,1,29,1,30,1,13,1,29,1,6,3,13,1,6,1,7,1,30,1,29,1,6,1,29,2,6,1,30,1,6,2,29,1,28,1,6,2,30,1,6,1,30,1,29,1,30,3,28,2,30,2,28,1,30,1,6,1,28,1,30,2,28,1,6,1,30,2,29,1,6,1,30,1,6,2,30,1,29,1,6,1,30,3,29,1,6,1,30,1,6,2,28,1,6,1,13,1,30,2,6,1,30,3,28,1,30,3,6,1,30,3,28,1,30,5,28,1,30,2,28,1,6,1,30,3,28,2,30,1,28,1,30,2,28,1,29,1,30,2,8,1,28,2,30,3,6,1,28,4,30,2,28,1,30,5,28,2,30,2,13,1,6,1,30,1,28,1,30,3,28,1,6,2,13,1,6,1,29,1,6,3,13,2,6,1,30,1,8,1,7,1,6,3,29,1,28,1,30,1,6,3,29,1,6,1,30,1,6,5,29,1,6,1,30,1,6,2,29,2,6,1,30,1,6,1,13,1,6,1,13,2,6,2,13,1,6,1,7,1,13,1,30,1,6,3,29,1,30,1,6,1,30,2,29,1,30,2,7,1,6,1,29,1,6,2,30,1,6,1,7,2,6,3,13,1,6,2,7,1,6,2,7,1,6,2,30,1,13,1,6,5,30,2,6,1,30,3,29,1,30,1,6,3,29,1,6,2,28,1,30,3,13,1,8,1,30,1,6,1,30,2,29,1,30,3,6,1,16,1,6,1,28,1,6,1,30,1,29,2,7,2,6,1,30,1,13,1,30,1,29,2,6,2,28,1,29,1,6,1,30,2,6,1,29,1,30,1,6,1,28,1,29,1,30,1,6,1,29,1,6,4,13,1,6,1,29,1,6,2,7,1,13,1,6,1,13,1,6,1,13,1,6,2,8,1,13,8,6,1,7,1,6,1,13,1,6,2,13,1,6,2,29,1,6,3,7,2,6,2,28,1,6,1,30,1,6,1,28,2,6,1,28,1,6,1,30,1,28,1,30,4,6,1,29,2,6,1,30,3,6,1,29,1,6,1,30,1,6,5,30,2,6,2,30,1,28,1,29,1,28,2,29,1,6,1,30,1,28,1,30,2,28,2,6,1,30,3,28,5,17,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,2,30,1,6,1,30,1,28,1,29,1,28,1,29,2,30,2,28,1,30,1,28,2,7,1,29,1,7,1,30,1,6,1,30,1,28,2,30,1,6,1,29,1,6,1,7,1,30,3,29,1,30,3,7,1,6,1,29,2,6,1,30,1,7,1,30,4,6,1,7,1,30,1,6,2,30,1,6,3,30,1,6,1,30,1,6,1,30,3,29,1,6,4,30,1,6,2,13,1,29,1,13,2,6,1,30,1,6,1,30,1,6,1,7,1,6,3,30,1,6,2,30,2,29,2,6,1,28,2,30,3,28,1,30,1,6,1,30,2,6,2,30,1,29,1,28,1,6,1,30,2,6,2,30,1,29,1,30,2,29,1,30,7,29,1,30,1,6,7,29,1,13,2,29,1,6,1,7,1,6,3,30,1,6,1,13,1,30,1,6,1,7,1,6,1,29,1,30,1,13,2,30,2,28,1,30,1,28,1,30,3,29,1,30,1,29,1,28,2,30,2,6,1,30,1,29,1,30,1,28,2,30,5,29,2,28,1,7,1,6,2,28,1,30,1,6,1,29,2,30,2,29,1,28,1,6,1,30,1,29,1,30,1,6,2,28,1,30,1,6,1,30,3,29,2,30,1,28,2,30,1,6,1,13,1,9,1,30,1,6,1,13,1,6,1,7,1,29,1,6,3,28,1,29,1,30,1,6,1,30,2,28,1,30,4,29,2,30,2,29,1,30,1,28,1,6,1,30,9,6,1,30,1,13,1,6,1,13,1,6,2,13,2,6,1,7,2,6,1,30,3,28,8,6,1,7,1,8,1,13,3,8,1,13,1,11,1,13,1,10,1,8,1,10,1,13,1,9,1,13,2,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,11,1,8,1,10,1,9,1,8,1,9,1,11,1,10,1,11,1,9,2,10,1,9,2,10,1,9,1,17,3,11,1,17,3,16,1,17,3,11,1,17,1,11,1,17,6,16,2,17,2,16,1,17,1,11,1,17,2,11,2,12,1,17,1,12,1,17,1,12,2,9,2,10,1,9,1,10,1,11,1,10,1,9,1,13,2,7,1,6,1,30,1,28,1,30,1,28,15,30,1,28,11,30,1,28,5,30,1,28,9,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,7,28,2,6,1,28,1,30,3,29,1,30,1,29,1,7,1,29,1,6,2,7,1,29,1,6,2,13,1,6,1,13,3,6,1,13,1,29,1,7,1,6,1,7,1,13,1,6,1,29,1,6,2,13,6,8,1,13,1,8,1,13,2,9,1,13,1,8,2,13,2,9,2,8,1,9,5,13,1,9,5,13,1,8,1,9,3,8,1,9,5,8,1,9,4,8,1,9,2,8,1,9,2,11,1,9,5,11,1,9,1,16,1,17,1,9,1,16,2,9,1,11,1,9,1,16,1,11,1,10,1,11,1,9,1,6,1,30,1,28,6,30,2,28,1,30,1,28,1,30,1,6,1,29,1,6,4,28,1,30,4,6,4,30,2,8,1,17,1,12,1,9,1,8,1,6,1,13,1,6,1,7,1,13,2,7,1,6,1,29,1,6,1,28,2,30,1,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,28,30,1,28,2,6,4,29,1,6,1,29,1,30,2,28,1,29,1,6,1,29,1,6,2,30,1,13,1,6,1,13,1,8,1,9,1,13,2,9,1,11,1,17,1,11,1,9,1,6,3,30,4,28,10,30,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,6,1,30,1,28,1,30,2,28,1,29,1,28,2,30,1,28,1,6,1,28,3,30,1,28,1,30,1,28,5,30,1,28,2,30,1,13,1,11,1,13,1,9,2,13,1,7,1,6,1,13,1,6,1,30,4,28,8,30,1,28,2,30,4,7,1,13,1,6,2,13,1,30,2,29,1,30,2,28,1,29,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,4,30,2,28,3,30,2,28,6,30,3,28,1,30,2,6,2,28,1,8,2,6,1,28,10,30,1,28,5,30,1,28,8,30,1,28,2,30,1,28,1,30,1,28,10,30,1,28,10,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,4,30,1,6,1,7,1,6,2,30,2,28,3,30,3,28,2,30,2,28,1,30,1,8,1,13,2,30,1,6,1,28,1,30,3,6,2,13,1,7,1,28,4,30,2,7,1,13,1,9,1,11,2,28,16,9,1,17,1,10,1,9,1,13,1,9,1,13,1,6,1,30,1,29,1,13,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,6,1,8,3,11,2,16,1,17,1,10,1,28,7,13,2,7,1,28,42,7,1,6,1,30,1,28,2,30,1,17,2,16,1,11,1,8,2,13,1,9,2,13,1,11,1,17,3,9,1,29,1,28,5,8,1,6,1,13,1,28,8,30,1,28,1,30,1,6,1,29,1,28,6,}, {9,1,17,3,16,1,17,2,13,2,8,1,6,1,30,2,29,1,28,1,6,1,13,1,9,1,29,1,28,33,29,1,28,3,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,5,13,1,29,1,24,1,9,2,6,1,28,1,6,1,29,1,28,1,9,1,11,1,12,1,6,1,7,2,13,2,9,1,13,1,12,1,17,5,12,1,9,1,8,1,13,1,6,2,30,1,29,1,13,1,9,1,13,1,6,1,29,1,7,1,13,1,6,1,13,1,17,6,12,1,9,3,13,2,17,4,13,3,6,1,13,1,24,1,13,1,8,1,6,1,30,1,28,11,29,1,28,5,30,1,28,13,30,1,28,1,29,1,6,1,13,1,11,1,9,1,8,1,12,1,9,1,13,1,7,1,30,1,29,1,6,1,28,1,8,1,17,5,11,1,17,1,10,1,9,5,8,1,6,2,8,1,13,1,8,1,6,1,7,1,8,1,24,1,8,1,11,2,16,1,17,1,11,1,17,3,30,1,28,14,6,3,30,1,7,1,6,2,7,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,7,2,6,2,7,1,6,2,7,1,6,3,7,1,6,2,13,1,29,1,6,2,30,1,6,3,30,1,6,2,30,5,6,1,30,1,29,1,30,1,29,1,6,2,28,1,30,2,28,1,30,2,28,1,30,2,28,10,6,1,30,2,28,1,30,1,6,1,30,2,28,1,30,5,28,1,30,3,28,3,30,1,28,1,6,1,30,2,6,1,28,1,6,1,30,2,6,3,30,2,28,1,6,1,30,2,29,2,30,1,28,1,30,3,28,1,30,2,6,2,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,2,29,1,30,1,6,1,28,1,6,1,30,4,28,1,29,1,6,1,29,1,30,1,6,1,28,1,13,1,29,1,6,1,30,1,13,1,28,2,6,1,30,2,7,1,13,1,9,1,13,3,30,2,6,1,30,1,6,1,28,2,30,1,28,1,29,1,30,1,28,1,30,1,6,1,30,4,28,1,30,2,28,1,6,2,30,3,28,1,6,1,30,4,6,1,30,3,6,2,28,1,29,1,6,3,29,1,13,1,29,1,6,3,28,3,30,1,28,4,30,1,13,1,24,1,8,1,12,3,17,2,10,3,9,3,8,2,9,1,8,1,9,1,8,1,9,1,8,6,13,3,8,2,7,1,8,2,7,1,8,1,7,1,13,2,7,1,6,1,13,1,6,1,29,1,13,1,6,1,13,4,7,2,6,1,7,1,6,1,7,1,13,2,7,1,13,2,6,1,13,1,6,1,13,1,7,1,30,1,6,1,7,1,6,2,30,1,7,1,30,2,7,1,6,1,28,1,6,1,30,2,6,2,29,1,6,3,30,1,6,2,30,1,6,1,7,1,13,1,6,2,30,3,6,1,7,1,6,1,7,1,6,1,7,1,13,1,7,2,13,3,9,1,12,1,8,1,7,1,6,3,7,2,13,4,9,1,13,1,24,2,9,1,24,1,11,2,9,1,24,1,9,1,8,1,9,1,24,1,8,1,6,1,29,1,6,5,13,1,7,1,6,1,7,1,6,1,28,16,30,1,29,3,27,1,26,1,25,1,27,1,25,1,26,4,24,1,25,3,24,1,25,1,8,1,24,1,15,1,24,2,25,2,8,1,25,1,24,1,25,1,24,3,8,1,24,1,25,2,24,1,8,1,24,1,25,2,24,5,8,1,24,4,26,1,27,2,29,1,30,2,27,1,29,1,28,2,30,2,28,1,30,3,27,1,25,1,26,1,25,1,27,2,25,2,24,1,25,1,8,1,24,1,8,1,24,1,8,1,25,1,29,1,26,1,25,1,26,2,25,3,27,1,26,1,24,1,8,1,24,1,15,1,24,2,26,1,7,1,29,2,28,4,30,1,28,5,30,1,28,3,30,4,28,1,30,2,28,1,13,4,30,1,28,1,6,1,30,1,28,1,30,5,28,1,30,2,6,1,29,1,28,1,6,1,30,1,29,1,30,1,28,1,29,1,6,1,28,1,6,1,30,3,6,1,30,1,28,1,30,4,28,1,6,1,28,3,30,2,29,1,28,1,29,1,6,1,30,1,29,1,30,1,6,1,30,2,6,1,30,5,6,1,29,1,6,2,30,1,29,1,6,1,30,1,6,1,29,1,30,2,6,3,30,1,29,1,6,3,30,1,29,3,6,3,9,1,6,3,13,1,6,1,29,1,6,3,30,1,29,1,6,3,13,1,29,1,30,1,29,1,6,2,13,1,7,2,13,1,6,1,29,1,30,1,6,1,7,1,30,1,6,2,29,3,6,2,30,4,29,1,30,1,28,3,30,1,13,1,17,1,9,1,16,1,17,1,16,1,10,1,11,1,9,2,8,1,13,1,8,1,13,3,17,2,13,1,30,1,6,1,11,1,8,1,16,1,11,1,9,1,13,1,30,1,28,3,30,1,6,1,28,3,30,1,28,1,30,3,28,2,30,1,28,1,29,1,30,4,6,2,30,1,13,1,6,1,13,1,30,3,6,1,29,2,6,2,7,1,30,1,6,1,30,1,6,1,30,1,7,1,6,2,30,2,6,1,29,1,6,1,30,2,6,2,28,1,30,2,6,1,29,1,30,1,6,2,30,4,6,2,28,2,6,1,28,1,30,1,6,1,28,1,30,4,28,1,6,1,30,1,29,1,30,1,29,1,30,1,6,1,29,1,30,1,29,1,6,1,28,1,30,1,6,1,30,1,29,3,30,6,6,1,28,1,30,3,6,1,30,3,28,1,6,1,28,1,30,11,28,1,30,3,29,1,30,1,29,1,6,1,30,4,28,1,30,1,28,1,30,1,28,1,30,2,28,6,30,1,28,1,30,1,28,2,6,2,30,1,28,4,6,3,30,2,28,1,29,1,30,1,6,1,13,1,29,1,30,1,6,1,13,1,6,2,7,1,6,1,13,1,6,1,7,1,6,2,29,1,6,1,13,1,30,1,6,6,29,1,6,3,30,1,7,1,6,3,29,1,6,1,13,1,29,1,13,1,6,1,7,1,6,2,13,1,6,1,29,1,30,1,29,1,30,1,6,3,29,1,30,2,6,2,29,1,30,1,29,1,6,1,30,1,6,1,13,1,6,2,7,1,6,4,7,1,6,1,13,2,6,1,13,2,6,1,13,1,6,3,7,1,13,1,6,1,28,1,30,1,6,1,30,4,6,1,29,2,30,1,6,3,29,1,30,1,6,1,13,1,30,3,28,1,6,1,28,1,13,3,8,1,28,1,30,2,28,1,30,1,29,1,28,1,6,1,30,1,29,1,30,1,29,2,13,1,30,1,29,1,6,4,29,1,30,2,29,2,6,1,30,2,6,1,30,1,29,1,30,1,29,1,6,1,30,1,6,2,13,1,6,1,13,2,6,2,13,2,6,1,13,5,6,2,13,2,8,1,6,1,13,2,7,1,6,4,7,1,29,1,6,2,28,1,6,1,29,1,30,1,6,4,13,1,28,1,29,1,30,1,29,1,28,2,30,2,28,1,30,3,13,1,30,1,29,3,30,1,28,1,6,2,30,2,29,1,30,2,6,4,28,1,6,1,30,1,6,1,28,1,30,3,28,2,29,1,6,2,28,1,6,2,30,2,28,1,30,1,28,1,30,1,28,1,16,1,6,1,28,1,30,3,28,1,30,2,28,4,30,2,28,1,30,2,28,1,30,1,6,1,30,2,6,1,28,2,30,2,6,1,30,3,6,1,29,1,6,1,30,3,6,1,28,1,30,1,13,1,6,1,30,1,6,1,28,1,6,2,30,1,6,1,29,1,30,1,6,2,30,1,6,3,30,1,6,1,30,2,6,1,28,2,29,1,30,2,6,1,29,1,28,2,30,3,29,1,30,3,29,1,6,1,30,2,6,1,29,1,6,1,28,1,6,1,28,1,30,1,6,2,13,1,6,1,30,1,6,1,30,1,6,2,30,1,7,1,6,2,30,4,6,1,30,3,29,1,30,2,28,1,7,1,30,1,28,1,6,2,30,1,28,1,30,1,28,2,6,1,30,5,29,1,6,1,30,2,29,1,6,1,30,2,29,1,6,2,29,1,28,1,6,1,30,1,7,1,29,1,6,3,7,1,29,1,7,1,6,1,13,1,7,1,6,3,13,1,28,1,6,2,30,1,28,1,13,1,30,1,6,3,28,2,30,2,29,1,13,1,29,1,28,2,29,1,30,2,28,1,30,1,6,1,30,2,6,1,30,2,29,1,30,1,29,1,30,1,6,1,30,2,6,1,29,1,7,1,30,1,28,1,30,2,29,2,30,2,28,1,13,1,6,1,28,1,30,1,28,1,6,1,28,1,6,1,30,1,6,1,30,3,28,2,30,4,13,1,9,1,6,3,13,2,6,1,13,1,7,1,13,2,8,1,29,1,6,1,30,3,28,1,30,1,29,1,28,1,30,2,28,1,6,1,29,1,30,1,29,1,28,1,30,3,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,29,1,6,1,13,1,6,3,7,1,6,3,13,1,28,1,30,1,28,1,30,2,28,7,7,1,13,3,7,1,13,2,8,1,11,1,9,3,11,1,13,1,9,1,8,2,13,2,9,1,8,1,11,1,9,1,11,1,9,4,8,1,9,1,11,1,10,1,11,3,16,1,17,2,8,1,11,2,10,1,11,1,12,1,11,1,17,2,16,1,17,3,16,1,10,1,11,1,17,6,11,1,17,1,11,1,17,1,11,2,17,1,11,1,17,1,16,1,11,1,17,1,11,1,17,1,11,1,10,2,11,1,12,1,11,1,9,1,11,4,9,1,13,3,7,2,30,1,28,31,30,1,28,8,30,1,28,8,30,1,28,2,30,3,28,1,30,1,28,3,30,3,7,1,28,2,30,3,6,1,7,2,6,1,30,1,6,2,30,3,29,1,6,3,13,1,6,3,7,1,6,1,30,1,6,1,7,1,13,1,6,1,13,1,7,1,8,1,7,1,8,1,13,6,8,2,9,1,13,1,8,1,9,1,13,1,9,3,13,1,10,1,8,1,13,1,8,2,9,1,8,1,9,3,10,1,9,2,10,1,9,3,8,1,9,1,8,1,13,1,9,2,8,1,9,1,13,1,9,4,10,1,9,1,13,1,8,1,9,4,8,3,9,2,17,1,11,2,9,1,16,1,9,1,11,5,9,2,13,1,7,1,13,1,28,4,6,1,30,1,6,1,30,1,6,2,13,1,30,5,28,1,30,3,6,4,30,1,6,1,17,3,8,1,13,2,7,1,6,5,29,1,6,1,30,1,29,2,30,1,28,5,30,3,29,1,28,1,30,1,28,17,30,1,28,8,30,1,28,1,30,1,6,4,26,1,29,1,6,1,29,1,28,1,6,2,30,1,29,2,7,1,30,1,13,5,6,1,13,2,11,1,9,1,17,1,11,1,13,1,28,1,6,1,30,1,6,1,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,4,28,16,30,2,28,5,30,1,13,1,9,4,13,1,8,1,6,2,30,2,29,1,6,1,30,2,28,4,30,1,28,1,30,2,28,1,30,2,6,1,7,1,8,1,13,3,6,2,30,1,6,1,29,1,28,1,30,3,28,1,30,1,29,1,28,6,30,1,28,1,6,1,28,1,30,2,28,7,30,2,28,2,30,4,6,1,30,1,28,1,30,3,28,1,30,1,13,1,30,2,28,2,30,1,28,27,30,2,28,6,30,1,28,3,30,1,28,27,29,2,13,1,6,1,29,1,30,1,28,1,30,1,28,8,30,1,6,1,13,1,9,2,13,1,6,1,30,2,28,1,30,1,29,1,6,1,13,1,6,1,30,1,28,2,30,3,7,1,13,1,16,1,11,2,30,1,28,15,9,1,17,1,16,1,8,1,13,1,9,1,13,5,7,1,28,3,30,2,28,2,30,1,28,2,6,2,8,1,13,1,8,1,11,1,8,1,17,2,9,1,28,6,6,1,8,1,13,1,6,1,30,1,28,40,29,1,6,2,30,1,28,2,30,1,14,1,17,2,9,1,13,1,8,1,13,1,9,1,6,1,13,1,11,1,17,3,9,1,28,6,13,2,6,1,28,9,6,1,7,1,30,1,29,1,30,1,29,1,30,1,28,3,}, {9,1,11,1,17,5,10,1,13,3,28,1,6,1,28,3,9,2,30,1,28,38,29,1,28,3,30,1,28,3,30,1,28,4,29,1,13,1,9,1,17,1,13,1,6,1,29,1,28,2,9,2,12,1,13,2,6,1,13,1,6,1,13,2,9,1,17,7,16,1,11,1,13,1,6,1,28,1,30,1,6,1,8,1,10,1,9,1,6,1,7,1,13,2,29,1,9,1,17,4,16,1,17,1,11,1,9,1,17,1,11,1,10,2,17,3,16,1,6,1,29,3,6,1,8,1,7,1,6,1,8,1,28,34,30,2,13,1,8,1,13,1,9,1,12,1,9,1,8,1,7,1,29,3,28,1,13,1,17,4,11,1,16,1,17,1,9,1,11,1,16,1,9,1,13,1,8,2,7,1,13,2,8,1,6,1,13,1,6,1,13,2,7,1,9,1,8,1,16,2,17,3,12,1,28,15,6,3,13,2,6,1,7,1,30,1,7,1,6,1,7,1,13,1,7,1,13,4,6,1,30,1,13,1,6,2,29,1,30,1,29,1,6,1,7,1,6,1,30,2,6,1,13,1,6,1,30,1,6,1,13,1,30,1,6,3,30,1,29,1,28,1,6,1,28,1,30,2,28,1,6,1,28,1,30,1,28,2,30,3,29,1,30,1,28,1,6,1,28,10,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,6,28,1,30,1,28,2,30,2,29,1,30,3,29,1,30,1,6,1,30,2,28,1,29,1,30,2,29,1,30,2,6,1,30,1,6,1,29,1,30,2,28,2,30,2,6,1,28,3,30,1,28,1,30,2,6,1,30,1,6,1,28,1,30,3,6,1,28,1,6,1,29,1,30,1,28,1,30,2,28,1,30,1,28,2,6,3,29,1,13,1,29,1,6,1,29,1,7,1,30,1,7,1,28,1,30,1,6,1,13,5,29,1,6,1,28,1,6,1,29,1,30,3,29,1,30,2,28,1,30,1,28,3,6,1,30,3,28,2,29,1,30,1,29,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,28,1,30,2,29,1,6,1,30,1,6,2,29,1,6,1,30,1,29,3,28,2,30,2,28,1,30,1,28,1,30,2,13,2,8,1,9,1,12,1,10,1,17,1,12,1,17,1,24,2,9,2,8,3,13,1,9,2,8,1,9,1,13,1,11,1,13,1,7,1,8,1,7,1,8,2,13,1,8,1,13,1,9,1,13,2,7,2,13,1,7,1,8,1,13,1,6,2,29,1,6,1,13,1,6,1,13,2,6,6,13,1,8,1,13,4,7,1,6,2,13,1,7,2,6,1,7,1,6,1,30,1,7,1,6,1,7,1,13,1,6,3,29,1,6,2,30,1,29,2,30,1,6,2,30,1,6,1,29,2,30,1,29,1,6,2,30,1,6,4,30,1,6,1,7,2,13,1,7,1,13,3,7,1,13,1,11,1,10,1,8,1,13,1,6,3,24,1,6,1,7,1,8,1,13,2,8,2,9,3,10,1,9,3,24,1,9,2,13,1,6,1,28,1,30,1,6,1,30,1,28,2,30,1,28,20,30,2,29,2,27,3,25,2,27,1,25,2,26,1,25,1,8,1,25,3,24,1,25,2,24,2,25,4,24,1,8,1,24,1,25,3,24,3,8,2,25,1,24,2,25,1,24,2,25,1,24,6,25,2,26,1,29,1,27,2,29,1,30,1,27,2,30,1,28,2,30,1,28,2,30,1,29,1,27,4,25,1,26,1,27,1,25,1,24,5,25,2,26,1,25,1,26,1,25,3,26,1,25,2,26,2,24,1,8,1,24,4,27,1,6,1,28,1,6,1,30,1,28,1,29,1,28,8,6,1,30,4,28,1,30,1,28,1,30,3,13,3,7,1,13,1,28,2,30,1,28,1,6,1,30,1,28,1,30,1,6,1,30,3,28,1,29,1,28,1,30,1,28,1,30,2,6,1,28,1,29,1,30,1,28,1,6,2,30,6,6,1,30,1,28,1,29,1,13,1,7,1,28,1,30,3,28,1,30,2,28,1,30,4,28,1,30,1,6,2,30,1,29,1,6,1,30,1,7,1,6,5,30,1,7,1,6,2,30,1,6,1,30,1,6,3,30,1,6,10,9,1,13,1,7,1,6,2,29,1,6,2,29,1,6,1,30,1,29,1,6,1,30,1,29,1,30,2,6,3,29,1,6,1,30,1,13,3,6,1,30,1,6,1,30,1,28,1,30,6,28,1,30,2,29,1,30,1,28,1,30,1,28,1,6,1,28,3,9,1,16,1,13,1,6,1,13,2,7,1,6,2,7,1,6,2,13,1,8,1,7,1,8,2,9,1,8,1,13,2,30,1,6,1,30,1,28,1,30,3,6,4,30,1,6,1,28,1,6,1,28,1,6,1,28,1,30,3,28,1,29,1,28,1,30,4,29,1,30,1,6,1,13,1,6,1,13,1,6,1,28,1,7,1,6,1,30,1,6,2,29,1,7,1,13,2,6,1,13,1,6,1,7,1,6,1,30,2,7,1,6,1,30,2,6,1,30,1,29,1,30,2,6,2,30,1,29,1,6,1,7,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,30,1,28,1,6,1,29,1,28,1,30,1,28,1,6,1,28,1,30,2,6,2,28,1,30,3,28,1,30,3,28,1,30,4,13,1,6,1,29,1,30,1,29,2,30,1,6,1,30,1,6,1,30,3,28,1,30,2,28,1,30,2,28,1,30,1,29,1,28,1,30,1,6,1,30,2,28,2,30,1,28,1,30,4,28,1,30,2,8,1,28,1,30,2,28,2,30,1,28,4,30,6,28,4,30,2,28,1,30,1,28,1,30,2,28,2,6,6,30,1,6,1,29,1,28,1,6,1,30,1,6,1,30,1,9,1,29,1,13,1,30,1,6,2,7,1,6,1,28,1,13,1,6,2,29,1,13,1,6,2,29,2,6,1,30,1,6,1,29,1,6,3,29,1,6,1,30,1,7,1,13,1,29,1,6,1,13,1,6,2,13,1,9,1,13,1,6,1,7,1,30,3,6,2,29,1,6,1,30,4,6,4,30,1,6,1,30,1,6,3,7,2,6,2,7,1,13,2,7,1,13,1,7,1,13,1,6,2,13,1,7,1,13,2,29,1,6,1,7,1,6,4,29,1,6,4,29,1,30,1,7,1,30,4,6,2,30,1,29,1,30,2,6,1,13,1,8,1,6,1,28,1,13,1,30,2,6,1,30,2,29,2,30,1,6,2,29,1,30,1,6,1,28,1,30,1,6,1,29,1,6,4,29,1,6,1,30,1,28,1,6,4,29,1,30,3,6,1,30,1,29,1,6,2,7,3,6,1,13,1,6,1,13,3,8,1,6,2,13,2,30,2,6,2,13,1,6,2,30,1,13,1,7,2,13,1,30,1,6,1,29,1,6,1,29,1,6,1,13,1,6,1,30,2,29,1,30,1,6,1,30,1,6,1,28,1,13,1,30,1,6,1,30,4,13,1,28,1,9,1,30,2,29,2,6,1,29,1,6,1,13,1,6,1,30,1,7,1,30,2,29,1,30,1,6,1,29,1,30,2,28,1,30,1,6,3,30,2,6,2,30,3,6,1,29,1,28,1,6,1,30,1,28,1,29,1,28,2,16,1,11,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,3,28,1,6,1,28,1,30,2,29,1,28,1,29,1,30,2,28,1,30,1,6,1,30,1,28,1,30,5,13,1,30,2,29,1,28,1,6,1,30,1,29,1,30,2,6,1,30,1,29,1,30,4,6,1,29,1,30,4,28,1,30,1,29,2,6,1,13,1,30,1,29,1,28,2,6,1,28,1,30,1,6,3,29,1,30,1,29,1,6,1,28,1,6,1,29,1,6,2,30,1,6,1,13,1,29,1,13,1,6,2,7,1,6,2,30,1,6,1,13,1,30,3,6,1,30,1,28,1,30,1,6,1,29,1,30,2,6,1,30,3,29,2,30,6,28,1,30,3,6,2,30,3,29,1,28,1,6,1,28,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,13,1,6,2,7,1,6,1,30,1,6,1,13,2,6,1,13,1,6,1,13,1,6,2,9,1,6,2,30,2,13,1,6,2,29,1,6,1,7,1,30,1,6,5,7,1,6,1,30,4,6,1,30,1,28,2,6,1,30,2,6,1,30,1,6,1,29,1,30,1,6,2,7,1,6,3,30,2,13,2,6,2,29,1,6,2,9,1,30,1,6,1,13,1,30,5,29,1,30,1,28,2,30,2,13,1,28,1,30,1,6,1,11,1,8,1,13,1,6,4,13,1,6,2,7,2,6,2,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,29,3,30,1,29,1,30,1,6,1,30,3,6,1,30,1,29,1,28,1,6,2,29,1,6,2,30,1,29,1,30,1,29,1,6,1,7,1,30,1,29,1,30,1,28,10,30,1,6,1,13,2,7,1,8,4,9,6,13,1,9,1,13,2,11,1,9,3,8,1,9,1,11,3,9,2,8,1,9,1,11,4,10,2,9,1,16,1,11,5,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,17,1,11,2,17,2,11,4,10,1,16,1,17,1,11,1,17,2,9,1,16,1,17,1,12,1,11,1,17,1,11,2,17,1,11,1,9,1,11,2,9,1,11,1,9,1,11,2,8,1,13,1,8,1,13,2,30,2,28,1,30,3,28,5,30,1,28,3,30,1,28,5,30,1,28,2,30,2,28,10,30,1,28,2,30,1,28,8,30,1,28,2,30,1,28,1,29,2,30,3,28,1,30,1,28,1,30,1,6,2,30,2,6,1,28,1,30,1,28,1,29,1,6,1,29,1,30,1,29,2,30,1,13,1,30,1,6,2,30,1,6,3,7,1,6,5,13,2,7,4,13,2,6,1,13,2,8,1,6,1,13,1,9,1,13,3,9,1,13,3,8,1,7,1,8,2,13,1,9,1,8,1,9,1,8,4,9,1,10,1,13,1,9,3,8,1,9,4,8,1,9,2,8,1,9,7,13,1,9,1,10,1,8,1,9,2,11,1,9,2,10,1,9,1,10,1,12,1,9,2,11,2,9,1,12,1,10,1,12,2,9,1,12,2,16,1,17,2,16,1,9,1,10,1,9,1,11,6,9,1,13,3,6,1,30,1,28,5,6,2,30,1,6,1,7,1,30,1,17,3,12,1,8,1,13,2,6,4,29,1,30,1,29,2,30,1,28,3,30,2,29,1,30,1,29,1,30,2,28,1,29,1,28,1,30,2,28,1,29,1,28,1,30,2,28,11,29,1,30,2,28,1,30,2,28,1,30,2,28,1,29,3,25,3,29,1,30,1,29,1,30,1,13,1,30,1,28,1,6,1,13,1,6,1,13,5,8,1,13,3,9,1,10,1,17,2,13,1,30,2,6,1,28,2,30,1,28,8,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,13,30,2,28,5,30,1,28,2,13,1,9,3,13,1,7,2,6,1,7,1,6,3,30,1,29,1,28,4,30,1,28,4,6,1,13,2,8,1,13,1,30,1,6,1,29,1,28,1,30,2,6,1,30,2,28,3,30,2,28,5,30,1,28,1,30,2,28,1,30,1,29,1,30,1,28,4,30,1,28,2,30,2,28,5,30,2,29,1,30,2,28,1,30,1,28,2,6,2,30,1,28,1,30,2,6,3,28,16,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,9,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,6,4,28,2,30,1,28,1,6,1,28,1,30,1,28,3,6,1,30,1,6,1,13,4,30,1,28,1,30,1,28,1,6,2,7,1,6,1,13,1,6,2,28,1,6,2,28,1,13,1,8,1,11,2,28,16,17,3,8,3,13,1,7,1,30,1,7,1,29,1,6,1,28,10,30,1,13,2,9,1,11,1,8,1,10,1,17,2,10,1,28,7,9,2,13,1,30,1,28,40,29,1,6,1,30,2,28,2,30,1,14,1,17,1,16,2,13,1,9,1,8,2,13,1,8,1,17,4,9,1,28,5,30,1,13,1,9,1,28,10,29,1,13,1,6,1,28,2,30,1,28,4,}, {17,7,16,1,11,1,13,1,28,2,30,1,28,3,6,1,11,1,13,1,28,37,30,1,28,1,30,1,28,1,30,1,28,9,13,1,8,1,9,1,17,1,8,1,7,1,28,1,6,1,28,1,7,1,8,1,12,1,9,1,6,3,29,1,8,1,24,2,11,1,17,1,16,2,17,2,16,2,9,1,24,1,6,1,7,1,28,1,29,1,6,1,15,1,13,1,6,1,30,1,7,1,13,1,6,1,8,1,17,7,9,1,8,1,11,2,10,1,17,4,6,3,8,1,6,1,13,1,8,1,24,1,6,1,28,34,30,2,8,2,12,1,10,1,17,1,12,1,8,1,13,1,6,2,7,1,28,1,8,1,12,1,17,6,8,1,11,1,9,1,13,1,24,1,13,1,8,1,13,1,6,1,9,1,10,1,13,1,6,1,8,1,13,1,24,1,7,1,13,2,17,1,12,1,16,1,17,3,6,1,28,14,6,1,7,1,13,1,6,2,13,2,30,1,13,1,6,2,13,2,6,2,13,1,6,2,7,1,6,1,29,1,6,2,29,1,30,1,29,1,6,1,30,1,6,4,29,1,6,2,28,1,6,2,30,1,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,4,28,1,30,1,28,2,30,1,28,7,30,1,6,1,30,4,6,1,30,1,28,1,30,1,28,1,30,4,28,1,30,2,28,1,30,6,28,1,30,1,28,1,30,3,6,1,28,1,30,3,28,1,30,1,29,1,30,1,29,1,30,3,28,1,6,1,28,1,30,3,28,1,30,1,6,1,30,1,28,1,30,2,6,1,30,3,29,1,30,3,28,2,30,1,29,1,28,2,29,1,30,5,6,1,30,1,6,1,30,1,29,1,30,2,6,2,29,1,7,2,13,1,30,2,28,2,13,1,7,1,13,2,8,2,7,1,6,1,30,5,28,1,30,2,29,1,30,5,28,1,30,1,6,1,28,1,30,4,6,2,30,2,6,1,29,1,30,1,6,2,29,1,30,3,6,1,30,5,6,2,30,3,6,1,29,1,6,3,28,1,30,3,28,4,30,1,6,1,13,1,9,2,12,1,11,1,9,1,12,2,10,1,8,1,10,1,9,1,8,8,9,1,13,3,8,1,13,3,9,1,7,1,8,1,13,3,6,1,8,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,2,7,1,13,5,8,1,13,5,7,1,29,1,6,1,7,1,6,1,7,1,6,1,13,1,6,5,29,2,30,1,6,2,30,1,6,1,7,1,6,2,7,1,6,3,29,1,7,1,30,1,6,2,30,1,6,2,7,1,30,1,6,6,7,1,6,1,7,1,13,3,9,2,10,1,9,1,13,1,8,1,6,1,7,1,6,1,13,1,7,1,8,1,13,2,8,2,9,3,10,2,8,2,9,2,13,1,30,1,28,2,30,3,28,2,30,1,28,14,30,1,28,3,30,1,28,2,30,1,29,3,26,1,27,1,26,1,27,1,25,1,26,1,25,1,27,1,25,2,27,1,25,2,24,2,25,1,8,1,24,3,25,2,26,1,27,1,25,1,8,1,25,1,8,2,24,2,25,2,24,3,8,1,24,1,8,3,24,5,25,3,26,1,27,2,30,4,29,1,28,1,30,2,29,1,30,2,29,1,27,2,25,1,26,1,27,1,26,3,8,1,24,4,25,2,8,1,25,2,26,1,29,1,25,7,24,1,25,1,24,1,8,1,26,1,8,1,6,1,28,1,29,1,28,1,30,2,28,9,9,1,30,2,28,5,6,1,30,1,29,1,13,2,30,1,13,2,28,1,30,1,28,1,30,1,13,1,30,4,6,1,30,1,28,1,30,1,28,1,30,2,29,1,30,2,6,1,30,1,6,1,30,3,6,2,30,6,29,1,30,1,6,1,13,1,7,1,30,3,29,2,30,2,29,1,6,2,30,1,6,3,30,1,6,1,28,1,30,1,29,1,30,2,6,2,30,1,6,6,29,1,6,3,29,3,6,2,30,2,6,2,13,1,29,1,6,1,30,1,13,1,9,1,29,1,30,1,6,2,30,1,29,1,6,2,30,1,29,2,30,1,29,1,30,1,6,1,30,3,29,1,30,1,6,1,29,1,28,1,30,1,6,1,29,1,6,1,30,1,29,1,28,2,30,1,29,1,30,1,28,1,30,1,6,1,30,5,28,1,30,3,28,1,29,1,13,1,28,1,30,1,28,2,30,3,28,1,30,1,28,2,30,2,28,1,30,2,7,1,13,1,28,1,6,1,7,1,13,1,30,1,29,2,13,1,6,3,30,2,6,2,30,1,6,1,30,2,6,1,28,1,30,2,29,1,28,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,13,1,6,2,29,1,6,4,7,1,13,1,6,1,30,1,6,1,30,2,6,1,13,1,7,1,30,1,6,2,29,1,6,1,29,1,30,1,6,2,30,2,29,1,6,1,29,1,6,1,29,1,30,1,6,1,28,1,30,1,28,2,30,1,29,1,30,1,28,1,29,1,30,7,6,1,30,2,6,2,29,3,30,1,6,2,29,2,6,1,29,1,28,1,30,2,13,1,6,1,30,1,6,1,29,1,30,3,28,1,30,3,29,1,30,3,28,1,29,1,30,3,29,1,30,5,28,2,30,1,28,1,30,6,6,2,28,3,30,2,28,3,30,1,28,1,30,3,28,3,30,1,28,1,30,3,28,1,30,1,28,1,29,1,30,1,28,1,30,2,6,1,30,1,29,3,30,1,6,5,30,1,6,1,13,2,30,1,13,1,6,2,7,1,6,2,30,1,13,1,6,1,29,1,30,1,6,1,13,1,6,1,29,1,6,1,29,2,6,5,30,1,7,1,6,1,7,1,13,1,7,1,6,1,29,1,6,2,13,1,8,1,6,1,28,1,6,1,30,1,29,1,28,1,30,2,28,1,6,1,30,1,28,1,30,1,29,1,28,1,29,1,30,1,29,1,30,1,6,2,30,2,6,1,29,1,6,1,7,1,6,1,13,1,6,1,30,1,13,1,6,3,7,1,13,1,6,1,13,1,6,1,7,1,6,3,7,2,28,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,30,3,29,1,30,1,6,2,30,1,6,1,28,1,30,1,28,1,13,1,6,1,30,3,13,2,28,1,30,1,6,2,29,1,7,2,30,1,6,2,30,1,29,1,6,1,30,2,29,1,13,2,6,1,30,1,29,1,13,1,6,4,7,1,6,3,30,1,6,2,30,1,13,1,30,1,13,2,6,1,13,3,6,1,13,1,6,2,30,1,6,2,13,1,6,6,30,1,6,1,30,1,28,1,30,1,29,1,30,1,6,1,28,1,30,1,29,1,13,1,6,6,30,2,29,1,6,3,30,1,6,1,7,1,6,6,13,1,29,1,13,1,30,2,6,3,13,1,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,29,1,30,1,28,1,6,1,13,1,30,1,29,1,30,3,7,1,29,1,30,1,29,1,6,1,30,5,28,3,6,1,17,1,28,1,30,2,28,1,30,3,28,2,30,1,28,1,30,3,28,1,30,6,29,1,30,3,29,1,30,3,6,2,28,1,30,1,29,1,30,3,6,1,30,1,6,1,29,1,30,1,28,1,30,1,28,2,30,5,6,1,29,2,30,1,28,1,6,1,30,1,29,1,30,1,28,1,6,1,30,3,6,1,30,1,6,2,30,3,28,1,29,2,30,1,29,2,30,1,6,1,30,1,29,1,30,1,6,2,13,1,6,1,13,2,6,1,7,1,28,1,6,1,13,1,6,1,13,1,6,3,29,1,30,2,29,1,30,1,28,1,30,3,29,3,30,1,29,1,28,1,30,8,6,1,30,1,6,1,30,2,29,1,30,1,6,1,13,1,6,2,30,1,6,1,28,1,30,1,29,2,30,1,6,1,30,1,6,2,30,2,6,4,7,1,13,1,6,1,7,2,6,2,13,3,6,1,29,1,28,1,6,2,30,4,6,1,30,1,6,1,7,1,30,1,29,1,6,1,13,1,6,1,30,2,6,1,29,1,30,1,6,3,30,1,6,1,29,1,6,1,29,1,6,2,29,1,30,1,6,2,7,1,6,1,13,3,6,2,13,4,6,1,30,1,6,1,30,2,28,1,30,1,29,2,30,1,6,1,30,1,6,2,9,1,7,1,30,1,6,1,13,2,30,1,6,1,30,2,8,1,30,2,6,1,13,2,30,1,29,1,6,1,28,2,30,3,28,2,6,1,30,2,29,1,28,1,30,1,29,2,30,2,29,1,6,1,30,2,29,1,6,1,30,1,29,1,30,5,13,1,30,2,6,1,7,2,13,1,6,1,29,1,28,3,30,1,28,1,30,1,28,5,30,1,13,5,8,1,13,1,9,3,11,1,9,1,8,1,11,1,13,2,8,1,9,2,8,1,9,1,8,1,9,1,8,1,11,1,9,2,11,1,10,2,11,1,9,2,17,1,9,1,11,2,17,2,10,1,11,4,9,1,11,1,17,2,11,1,17,1,11,1,17,3,11,1,16,1,17,2,16,1,11,1,16,1,17,1,11,2,9,1,17,1,11,2,16,1,17,3,11,5,9,1,10,1,9,1,11,1,10,1,11,1,9,1,10,2,13,1,8,1,13,1,6,1,13,2,30,1,28,3,30,2,28,6,30,2,28,7,30,1,28,19,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,3,28,1,30,1,13,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,6,1,30,2,6,2,29,1,6,1,13,1,30,1,29,2,7,1,6,1,29,1,6,1,29,1,13,1,6,2,13,1,6,2,30,1,6,1,7,1,6,2,13,2,7,1,13,7,8,3,13,4,9,1,8,1,13,1,8,2,13,1,8,4,13,2,8,2,9,4,8,1,10,2,13,1,8,1,9,1,13,1,9,2,8,1,9,1,13,1,9,5,8,1,9,1,13,1,9,3,10,1,11,1,10,1,8,1,9,2,11,1,9,1,11,1,9,2,11,1,10,1,11,1,12,2,17,14,11,4,9,1,8,1,6,1,13,1,30,1,28,5,30,1,13,1,9,1,11,1,17,2,11,1,8,1,13,1,6,6,29,2,30,3,28,2,30,4,28,4,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,4,30,2,29,1,30,3,28,1,30,1,29,4,27,4,26,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,29,1,13,1,6,1,7,2,13,1,7,1,13,3,7,1,13,1,10,1,17,2,12,1,8,1,30,2,6,1,29,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,6,30,3,28,2,30,1,28,7,30,1,28,5,9,3,13,3,6,1,7,1,29,1,6,1,7,1,6,1,30,1,29,1,30,1,28,5,30,1,6,1,13,2,8,1,7,2,8,1,6,1,29,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,9,30,1,28,9,30,1,28,8,30,5,28,2,30,2,6,1,29,1,28,5,30,3,28,2,30,1,28,9,30,1,28,2,30,1,28,4,30,1,28,5,6,1,28,3,30,1,28,3,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,4,30,2,28,2,30,1,28,7,30,1,28,1,6,1,28,1,30,2,6,2,29,1,28,1,29,1,28,1,30,1,28,2,30,1,28,1,30,3,6,2,13,4,28,2,30,2,28,1,30,1,7,1,9,1,8,1,9,1,13,1,30,1,6,1,30,1,13,1,9,1,11,1,17,1,28,16,17,3,9,1,13,2,8,1,7,1,29,1,13,1,7,1,30,1,28,3,30,1,28,2,29,1,28,3,29,1,13,1,6,1,9,2,8,1,11,1,9,1,17,1,13,1,28,6,6,1,8,1,9,1,13,1,28,41,30,1,6,1,29,1,28,3,30,1,17,3,13,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,17,2,13,1,28,1,30,1,28,4,8,1,13,1,28,9,30,1,28,1,13,1,29,1,6,1,28,1,30,1,28,4,}, {8,1,17,6,16,1,8,1,7,1,6,1,30,1,28,3,30,1,28,1,15,1,6,1,28,39,29,2,30,6,28,4,7,1,8,2,17,1,6,1,13,1,28,1,30,2,6,1,8,1,10,1,13,1,6,1,13,1,8,1,7,1,13,1,9,2,24,1,17,6,16,1,12,1,9,1,6,1,28,3,6,1,24,1,9,1,6,1,13,1,7,1,13,1,6,1,9,1,17,6,12,1,13,1,11,1,9,3,17,4,8,1,7,1,6,2,13,2,7,1,8,1,13,1,28,33,29,1,28,1,30,1,7,1,13,1,8,1,9,1,17,1,12,1,24,1,6,1,7,1,6,1,29,1,30,1,13,1,17,6,16,2,12,1,16,1,13,2,8,1,7,2,6,1,7,2,24,1,13,2,6,1,9,1,13,1,8,1,13,1,10,1,17,5,30,1,28,14,29,1,13,1,6,1,29,1,6,1,30,2,6,1,30,1,7,1,13,1,6,2,13,1,6,2,29,1,30,1,6,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,6,2,30,1,6,4,30,1,6,1,7,1,29,2,30,1,6,1,30,2,6,1,30,5,28,2,30,1,28,1,30,2,28,1,30,1,6,1,28,8,30,3,29,1,30,4,28,1,29,1,30,3,28,1,30,1,28,1,30,1,28,1,30,13,28,1,30,2,6,2,28,1,6,1,30,1,28,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,30,4,28,1,30,1,28,2,30,2,29,1,28,1,6,1,30,2,6,1,30,8,28,1,30,6,6,1,30,1,6,4,29,1,7,2,6,3,9,1,13,6,29,1,6,2,30,1,6,1,7,1,6,2,29,1,30,6,29,2,28,1,30,3,28,1,6,1,28,1,29,1,6,1,30,1,6,2,30,3,6,1,30,4,6,1,30,2,28,1,29,2,30,1,6,1,30,1,29,1,30,2,29,1,28,1,6,2,28,1,6,2,29,1,28,5,30,1,6,1,9,3,10,1,24,1,8,1,9,1,12,1,11,1,9,3,8,2,13,1,8,1,11,1,13,1,6,1,13,5,7,1,8,2,9,1,13,1,24,1,13,3,6,1,13,4,7,1,29,1,13,1,6,1,13,1,29,1,13,1,6,3,7,3,13,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,7,1,13,1,6,1,13,1,6,7,7,1,6,1,28,1,6,1,30,3,7,1,6,1,7,1,30,1,6,1,7,2,29,1,6,1,30,1,13,1,30,1,6,1,13,1,29,1,6,2,7,1,6,4,13,8,9,2,13,1,7,1,13,5,7,1,13,1,24,1,8,1,24,1,10,1,9,1,11,1,9,1,24,1,9,2,8,2,6,1,28,5,30,1,28,1,30,2,28,6,30,1,28,9,30,1,28,1,30,4,29,1,6,1,29,2,27,1,26,2,25,2,26,2,25,3,27,1,8,1,24,1,25,1,8,1,25,1,8,1,25,2,27,1,25,1,8,1,24,1,26,1,24,2,25,2,8,1,24,2,25,1,24,3,25,1,24,1,25,2,24,3,25,1,24,2,27,2,25,1,26,1,27,1,29,1,28,1,29,1,28,1,29,1,30,3,29,1,30,1,28,1,29,2,27,2,26,1,25,1,26,1,25,1,29,1,25,1,24,6,25,3,27,2,25,1,26,1,25,1,27,1,8,1,25,2,24,2,25,1,8,1,25,1,6,2,29,2,30,3,28,1,30,2,28,1,30,1,28,3,30,1,28,1,6,2,30,1,29,1,28,1,30,2,28,1,29,1,6,3,13,1,7,2,13,1,8,1,28,1,29,1,30,1,13,1,29,2,30,3,6,1,30,12,28,1,30,1,6,1,30,2,29,1,30,1,29,2,6,1,30,2,6,1,29,1,6,3,30,4,6,1,30,1,29,1,6,1,30,1,6,4,29,1,6,1,30,1,28,1,30,2,28,1,6,7,30,1,6,4,30,1,6,10,7,1,28,2,30,1,13,2,30,4,6,1,30,1,28,1,6,1,29,1,30,2,29,1,28,2,30,1,29,1,28,1,6,1,30,1,28,1,30,2,29,1,6,2,28,1,30,1,29,1,6,2,28,2,30,2,6,1,30,1,29,1,28,1,30,3,29,1,30,3,6,2,30,3,28,1,30,2,28,3,30,1,28,1,30,1,28,1,6,2,28,1,30,1,6,1,13,3,7,1,6,1,29,1,6,1,13,1,7,1,6,3,7,1,6,2,29,1,6,3,30,1,6,1,13,2,6,1,28,1,30,2,6,1,29,1,30,1,29,2,13,1,6,1,30,2,6,1,30,1,7,1,6,1,29,1,6,1,7,1,6,1,7,1,6,1,13,1,7,1,6,1,13,1,7,2,6,2,28,1,6,3,7,1,29,1,30,2,29,1,30,1,6,3,30,1,6,1,30,6,28,2,30,1,28,1,30,3,28,1,30,2,29,1,30,1,28,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,29,2,30,1,6,1,29,1,7,1,6,2,29,2,30,1,29,2,30,1,6,1,30,1,6,1,30,1,6,3,13,1,28,1,29,1,6,1,29,1,30,1,6,1,29,1,30,5,28,1,30,3,28,1,7,1,6,1,28,1,30,3,28,1,30,1,28,3,30,1,28,1,30,3,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,29,1,28,4,6,1,30,1,6,1,30,5,6,2,13,1,6,2,8,1,13,3,6,11,29,1,6,1,29,1,6,3,30,1,6,1,7,1,6,1,13,1,29,2,6,1,13,2,6,1,7,1,6,1,30,1,13,3,29,1,30,1,6,1,30,1,6,2,28,2,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,1,28,1,30,1,6,3,29,1,30,1,29,1,6,1,13,1,6,1,13,1,6,1,7,1,6,8,13,1,30,1,6,1,13,1,6,2,28,1,6,1,30,1,6,1,30,2,29,1,6,1,29,1,30,3,6,1,7,1,29,1,30,1,28,1,29,1,6,1,30,1,13,1,30,2,28,1,29,2,11,1,28,1,6,1,30,5,6,1,29,2,30,2,29,1,30,1,6,1,28,1,30,3,13,1,6,2,29,1,6,2,13,1,6,1,13,2,7,1,29,1,6,3,30,1,7,1,13,2,8,1,13,1,8,1,13,2,8,1,13,3,6,3,13,1,30,1,13,1,6,1,7,1,6,3,28,1,30,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,30,1,6,2,29,1,6,4,29,1,6,1,30,1,6,1,29,1,30,2,6,1,30,1,6,2,29,1,30,2,13,1,6,3,7,1,6,1,13,1,7,1,30,1,6,2,7,1,6,2,30,1,6,1,30,1,6,1,13,1,6,1,29,1,6,1,28,1,6,1,28,1,30,3,29,1,28,1,30,1,13,1,28,1,30,1,6,1,28,2,30,1,28,1,30,1,28,1,17,1,6,1,28,2,30,1,28,4,30,2,28,3,30,1,28,2,30,1,29,1,6,1,28,1,30,1,6,1,30,1,29,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,29,1,28,1,29,1,28,1,6,1,28,2,29,1,30,2,6,1,28,1,30,4,6,1,30,2,29,1,28,1,6,1,30,2,6,1,30,3,28,1,6,1,30,2,6,1,28,1,6,1,30,2,6,1,30,1,29,1,30,1,28,1,6,1,28,1,6,1,29,1,30,2,6,2,7,1,29,1,28,1,13,1,6,3,30,2,6,1,7,1,29,1,7,1,13,1,6,1,13,1,30,3,6,1,30,3,28,1,29,1,30,2,29,1,6,1,29,2,6,1,29,1,28,1,30,5,6,2,30,1,6,1,28,1,29,1,28,1,30,1,28,1,6,2,30,2,6,2,13,1,7,1,30,1,7,1,6,1,30,2,7,1,6,1,7,1,6,2,13,1,6,1,13,1,7,1,13,1,6,1,30,1,29,1,30,1,6,2,30,3,29,1,30,2,29,1,6,1,29,1,30,1,6,1,30,1,6,3,13,1,6,2,30,1,6,1,28,1,30,3,6,1,29,1,6,10,13,1,6,2,13,1,7,2,29,2,6,1,13,1,29,1,6,2,30,2,28,1,30,2,29,2,30,1,7,1,6,3,30,1,13,2,6,1,29,1,30,1,29,1,28,1,6,2,30,1,29,1,6,1,13,1,6,1,29,1,6,2,30,1,29,1,6,1,30,3,29,1,30,2,28,1,29,1,30,2,28,1,6,1,28,1,30,1,6,5,29,1,6,1,28,1,6,1,30,1,28,1,6,1,7,1,6,3,29,1,6,1,13,1,7,1,13,1,7,1,30,2,28,1,30,1,28,1,30,1,28,4,30,2,29,1,6,1,13,1,7,1,13,3,9,4,11,1,10,1,9,3,8,1,9,2,8,1,9,5,11,1,10,1,9,1,11,1,9,2,10,1,11,1,9,2,10,1,11,2,10,1,9,1,11,3,17,1,9,1,11,1,17,1,11,1,10,1,9,1,17,3,11,2,17,1,11,1,16,1,11,4,17,1,11,3,17,2,11,1,17,3,11,1,17,2,11,5,10,1,9,4,10,1,9,2,13,1,8,1,13,1,6,2,30,3,28,1,30,1,28,1,30,2,28,2,30,2,28,6,30,1,28,19,6,1,28,7,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,13,1,28,3,30,4,28,1,30,1,29,1,28,1,30,2,6,1,30,1,6,1,30,1,6,2,7,1,29,1,6,2,7,1,13,2,29,1,7,1,29,1,13,1,7,2,6,1,28,1,29,1,6,1,29,1,13,3,6,1,13,6,9,2,8,1,9,1,13,1,8,2,9,1,13,1,9,1,13,2,8,1,9,1,8,2,9,3,13,1,8,1,9,2,8,1,9,1,8,1,9,2,13,1,9,2,8,1,9,3,8,2,9,1,8,1,9,1,8,1,9,1,8,1,9,4,13,1,9,1,11,1,13,1,9,5,11,1,9,2,12,2,10,1,12,2,17,5,12,1,17,4,12,1,17,1,16,1,17,1,11,1,12,1,16,2,17,2,16,1,11,1,8,1,7,1,29,1,28,5,6,1,8,1,11,3,8,1,24,1,13,1,6,1,7,1,29,1,6,1,29,4,30,6,28,2,30,2,28,5,30,3,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,4,29,1,6,2,29,6,26,2,27,2,25,1,8,1,30,1,6,1,29,2,6,2,13,1,6,1,7,1,6,1,7,2,6,1,13,3,6,2,13,1,9,1,17,3,13,1,30,1,6,2,13,1,30,2,28,16,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,6,30,2,9,2,13,6,30,1,13,1,30,2,29,1,30,1,28,6,30,1,6,1,8,1,13,4,6,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,9,30,1,28,3,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,1,6,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,21,30,1,28,2,30,3,28,4,30,1,28,1,30,1,28,5,30,1,28,7,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,3,7,1,6,1,29,1,30,2,28,5,30,1,6,1,7,1,6,4,13,3,7,1,30,3,6,2,9,2,13,1,9,1,8,1,28,1,6,1,9,1,11,1,16,1,17,1,28,16,17,3,9,1,7,1,8,1,13,1,6,1,7,1,30,1,29,1,6,1,30,1,28,2,30,1,28,4,30,1,13,1,29,1,30,1,9,1,10,1,9,2,11,1,17,1,16,1,8,1,28,6,29,1,9,2,13,1,28,41,30,1,6,2,30,1,28,2,13,1,17,3,13,3,8,3,10,2,11,1,17,2,13,1,28,6,9,1,13,1,28,9,29,1,6,3,28,7,}, {9,1,16,1,17,5,11,1,9,1,8,1,7,1,6,1,28,4,6,1,24,1,13,1,28,37,29,2,30,1,28,1,30,1,29,1,30,1,28,1,29,1,30,1,28,4,30,1,7,1,9,1,17,1,9,1,7,1,29,1,28,1,6,1,30,1,8,1,9,1,24,1,13,1,6,1,7,1,6,1,13,1,8,1,11,1,17,1,12,1,17,5,16,1,12,1,9,1,8,1,29,1,30,1,29,1,6,1,13,1,8,1,7,1,13,1,6,1,8,1,6,1,8,1,17,5,16,2,9,1,11,1,9,3,16,1,17,3,13,1,6,2,13,1,7,1,13,2,15,1,24,1,28,34,30,1,28,1,13,2,8,1,24,1,12,1,11,1,9,1,7,2,6,2,30,1,13,1,17,5,16,1,17,1,9,3,8,1,13,2,8,1,28,1,29,1,24,1,8,1,13,1,7,1,13,1,30,1,9,1,13,1,8,1,13,1,8,1,9,1,12,1,17,3,30,1,28,14,6,1,30,2,6,1,30,1,6,1,13,1,30,1,6,1,29,1,30,1,6,1,29,1,7,1,6,2,30,1,13,1,30,1,6,1,30,2,6,3,30,2,28,1,6,1,28,1,29,1,6,1,28,2,29,1,30,3,6,1,30,1,6,2,30,2,29,1,28,1,30,2,6,1,28,1,30,1,6,1,28,2,30,2,28,9,30,1,29,2,30,5,28,2,30,1,28,3,29,1,30,1,28,1,6,1,30,2,29,1,6,2,29,1,30,1,13,1,29,1,28,1,29,1,6,2,28,1,30,1,28,1,29,1,30,1,6,1,30,1,28,2,6,1,30,2,29,1,6,1,30,5,28,1,30,2,28,1,30,1,28,1,30,6,6,1,30,2,28,2,30,1,29,1,28,1,30,1,28,1,30,7,28,4,30,1,28,1,6,1,29,1,6,1,29,1,6,1,13,1,6,1,13,1,8,1,13,3,6,1,13,4,6,1,28,1,30,3,28,1,6,3,30,3,6,1,29,1,30,3,6,1,30,2,28,2,30,3,28,1,30,1,6,1,30,1,6,2,30,2,29,1,28,1,6,1,30,3,28,1,30,1,6,1,30,4,6,1,30,1,6,1,30,2,29,1,6,1,28,1,29,1,30,1,28,1,30,2,28,4,6,1,30,1,8,2,24,1,10,1,7,1,13,1,8,1,10,1,12,2,10,1,8,3,9,3,13,2,8,1,7,1,8,4,9,1,13,1,9,1,13,2,8,1,13,3,6,1,13,1,7,1,13,1,6,1,13,1,7,1,13,1,7,1,13,3,6,1,7,1,13,4,8,1,7,1,13,1,6,2,7,1,29,1,7,1,6,1,13,1,6,1,30,1,6,2,7,1,13,1,6,2,7,1,6,2,30,1,13,1,6,2,7,2,6,1,30,1,6,1,29,1,30,1,6,8,13,1,29,1,7,1,13,1,30,1,6,1,13,1,7,1,13,1,7,1,13,3,9,1,12,1,8,1,24,1,8,1,6,1,13,1,7,1,13,2,8,1,13,1,8,2,10,1,12,1,10,1,9,2,10,1,9,2,13,1,6,1,30,1,28,24,30,2,28,1,30,1,29,1,30,1,29,3,30,1,29,1,27,2,25,1,26,4,25,1,26,1,25,1,8,2,24,5,27,1,25,2,26,1,25,2,8,1,24,1,25,2,8,1,24,3,8,1,25,1,24,1,25,1,24,2,8,1,24,2,25,1,15,1,25,1,8,2,25,3,27,1,25,1,30,3,28,2,29,3,30,1,27,2,29,1,27,1,26,3,25,1,26,1,27,1,25,1,8,1,24,2,15,1,24,1,25,2,24,1,25,1,26,1,25,3,26,1,25,1,27,1,25,1,24,1,25,3,8,1,25,1,30,3,29,1,30,2,6,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,6,1,7,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,7,2,6,1,13,4,6,1,30,2,6,1,30,3,28,1,6,1,30,2,28,1,30,2,28,1,30,2,6,1,30,5,6,1,30,4,28,1,30,2,28,1,29,1,28,1,30,2,6,1,13,1,29,1,30,1,6,2,28,1,6,1,30,1,29,1,6,1,30,1,6,2,30,1,29,1,30,4,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,5,29,1,6,1,30,2,13,1,29,2,6,4,29,1,6,1,30,3,6,1,30,1,7,1,8,1,9,1,30,2,6,1,29,1,28,1,29,1,6,1,30,2,28,3,30,2,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,6,2,28,1,30,2,28,1,30,1,6,1,30,1,29,1,30,1,28,1,6,1,30,6,29,1,6,2,7,1,13,1,30,1,28,1,30,1,28,2,30,1,6,3,28,1,6,3,30,1,29,1,30,2,6,3,13,1,30,2,13,1,6,1,7,1,6,1,30,1,29,3,6,3,30,1,6,3,30,2,29,1,30,1,29,1,30,4,13,1,6,2,30,1,28,1,29,1,30,2,6,3,28,1,6,3,30,1,6,3,30,1,6,1,13,1,30,1,29,2,6,3,7,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,29,2,6,1,30,1,28,4,30,5,28,1,30,7,28,1,30,1,6,1,30,6,29,1,30,2,28,1,30,3,6,1,30,2,6,3,13,1,6,1,7,1,30,2,6,1,30,2,6,1,30,2,6,1,30,2,6,1,13,1,6,1,29,1,6,1,29,1,30,1,6,1,28,3,30,1,28,1,30,1,28,2,6,2,30,2,28,3,30,2,28,1,30,1,28,2,30,1,28,2,30,4,28,9,30,2,6,2,30,1,29,1,30,2,28,1,30,1,6,2,29,2,7,1,6,6,29,1,30,1,6,2,29,2,7,1,6,4,29,1,6,2,7,1,6,5,13,1,6,3,13,1,6,3,30,1,6,1,30,1,13,2,29,1,30,2,29,1,6,1,30,3,28,3,30,1,6,1,29,1,30,2,6,1,13,2,6,1,13,1,6,4,7,1,6,3,13,1,6,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,30,1,13,2,6,1,7,1,6,1,13,3,6,1,30,1,6,2,30,1,6,1,7,1,29,2,6,1,29,1,6,2,29,1,6,1,30,2,13,2,30,4,13,1,9,1,28,1,30,4,6,2,30,1,7,1,30,1,6,2,30,3,6,1,13,2,6,1,13,5,7,1,13,3,6,1,13,1,7,1,6,1,13,1,29,1,6,1,13,6,8,1,9,1,13,2,8,1,9,1,13,1,8,1,13,1,7,1,13,4,6,1,13,2,6,2,30,1,29,1,30,3,6,1,29,1,30,1,29,3,6,1,30,1,6,2,30,1,13,1,6,1,30,1,29,1,6,1,29,1,30,1,29,1,30,1,28,2,6,2,8,1,29,1,30,1,6,1,30,1,6,2,28,1,6,1,30,5,29,1,6,1,30,1,29,1,28,1,6,2,30,1,29,1,30,1,6,1,30,2,29,1,7,1,30,2,13,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,17,1,13,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,2,28,1,6,1,30,3,6,1,30,2,29,1,6,2,30,7,28,1,30,3,29,1,6,1,28,1,30,1,28,1,6,1,30,2,29,2,30,1,28,1,29,1,30,1,28,1,6,1,28,1,6,1,30,1,6,1,13,1,6,6,28,1,30,3,29,1,6,1,30,1,6,1,30,1,6,2,30,2,29,1,6,1,30,4,28,1,6,1,29,1,28,1,6,6,13,1,6,1,13,4,6,1,13,1,6,1,8,1,13,1,6,1,13,1,6,3,30,2,28,1,30,3,28,2,29,1,30,1,29,1,6,1,30,1,6,2,30,1,6,1,30,4,29,3,6,3,30,2,28,1,6,1,30,1,28,1,30,2,13,1,6,6,29,1,30,1,13,1,6,2,30,1,13,1,6,1,30,1,6,1,29,2,7,1,6,1,30,1,28,1,30,4,29,1,6,1,28,1,30,2,6,1,30,3,6,1,28,1,13,2,6,1,30,2,6,1,30,3,29,1,6,2,30,1,28,1,30,1,29,1,6,1,13,1,6,1,29,1,6,1,13,1,8,1,13,3,6,1,13,1,6,2,13,1,7,1,13,1,6,1,30,4,28,1,6,1,30,2,6,1,30,1,9,1,17,1,7,1,30,1,6,1,29,2,6,1,30,2,29,1,30,2,6,1,13,1,6,9,30,1,6,1,30,1,6,1,28,1,30,1,28,2,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,29,1,30,1,6,2,28,1,29,1,30,1,6,2,30,1,6,1,30,1,6,4,7,2,13,1,6,2,28,1,30,1,28,7,30,1,6,3,13,5,9,2,8,1,9,1,10,1,11,1,8,1,9,2,8,2,9,5,13,2,9,1,11,1,9,1,10,1,11,4,10,1,9,4,11,3,9,1,11,1,9,1,11,1,12,2,17,3,11,1,17,2,16,1,11,1,9,2,16,1,11,1,16,1,17,1,11,1,16,1,11,3,16,1,11,1,17,4,11,4,12,1,11,1,10,1,9,4,10,1,9,2,11,1,9,1,13,1,9,1,13,2,6,1,30,1,28,3,30,1,28,5,30,1,6,1,28,15,30,1,28,10,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,2,30,1,28,1,30,1,6,2,28,2,30,1,28,2,30,1,28,1,30,1,6,1,30,7,29,2,28,1,30,1,6,3,7,1,6,1,7,1,30,1,13,2,6,2,13,1,29,1,7,1,6,1,13,1,6,1,7,1,13,3,6,1,7,1,13,1,7,1,13,1,6,1,8,2,7,1,13,5,8,1,13,1,8,1,13,1,9,1,13,1,8,2,13,1,8,1,13,1,8,3,9,1,8,1,9,1,13,1,8,1,9,5,8,1,9,1,12,1,9,8,10,1,8,1,10,1,9,2,17,1,8,1,9,2,13,1,9,5,10,1,9,1,10,1,12,1,10,1,12,2,17,1,12,1,17,11,12,1,17,1,12,1,17,3,16,1,11,2,16,1,11,2,13,1,6,1,29,1,28,1,6,2,30,1,9,1,12,1,17,1,10,1,9,1,8,1,13,1,6,1,29,1,6,2,30,2,29,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,8,29,1,30,2,28,3,30,1,28,3,30,1,28,1,29,2,30,1,29,2,27,1,6,1,27,1,6,1,29,2,25,1,27,2,26,1,29,1,26,1,6,1,13,1,29,1,30,1,6,1,7,1,13,2,6,1,29,1,13,2,6,1,13,1,8,2,13,2,6,1,8,1,9,1,17,2,16,1,13,1,6,3,30,1,28,14,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,3,28,3,30,2,28,4,30,2,28,8,30,1,11,1,9,1,13,4,6,1,13,2,7,1,6,1,7,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,8,1,13,1,8,1,13,2,7,1,30,1,6,1,30,3,28,4,30,1,28,14,30,1,28,8,30,1,28,8,30,1,28,1,30,1,28,3,30,1,28,2,13,1,28,3,30,1,28,1,30,1,28,4,30,2,28,22,30,3,28,2,29,1,30,1,28,2,30,1,28,1,30,1,28,10,30,1,28,8,30,1,28,2,30,1,28,7,30,1,28,1,30,3,6,3,30,1,6,1,30,3,13,1,28,1,6,2,30,1,29,1,6,2,13,3,6,3,30,1,13,2,9,1,8,1,10,1,11,1,9,1,10,1,9,1,16,2,9,1,28,16,17,2,10,1,9,1,8,2,13,1,6,2,13,1,30,1,29,1,28,6,30,2,28,1,6,2,7,1,13,1,9,1,13,1,11,1,9,1,17,2,13,1,28,5,30,1,6,1,10,1,8,1,28,42,6,2,7,1,30,1,28,2,13,1,17,1,16,1,9,1,13,2,7,1,8,2,13,1,11,1,10,1,17,3,8,1,28,5,29,1,9,2,28,11,6,1,30,2,28,6,}, {16,1,9,1,16,1,17,3,11,2,9,1,7,1,13,1,28,2,30,1,28,1,30,1,6,1,9,1,7,1,28,41,29,1,28,2,6,1,28,1,30,1,28,4,30,1,13,1,9,3,6,2,28,2,30,1,8,1,9,1,24,1,6,1,8,1,29,1,7,2,8,1,9,2,17,8,9,1,28,1,29,2,6,1,29,1,24,1,8,1,13,2,6,1,13,1,7,1,13,1,17,5,16,3,9,4,17,4,13,2,8,1,13,2,6,1,13,1,9,1,13,1,28,33,29,1,28,1,30,1,6,1,8,1,13,2,11,1,9,2,6,2,7,1,6,3,17,8,9,1,10,1,9,1,12,1,13,2,7,1,29,1,13,2,8,1,13,4,9,2,11,1,17,1,12,1,17,4,6,1,28,14,6,3,30,1,6,2,30,1,7,1,6,4,13,1,30,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,29,2,6,2,30,1,6,5,30,1,13,1,29,1,28,1,6,2,30,1,28,1,6,1,30,1,6,1,28,1,6,2,30,2,29,1,28,1,30,2,28,1,6,1,30,4,28,7,30,3,28,1,30,3,28,1,30,4,28,1,30,2,28,1,6,1,30,1,29,1,30,1,6,1,29,1,6,1,30,3,28,1,6,2,30,1,28,1,30,1,28,1,6,1,30,2,6,1,30,5,29,1,30,1,6,1,29,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,4,28,1,6,1,28,1,30,3,6,1,30,2,28,1,30,1,28,1,30,1,29,1,30,3,6,1,29,1,30,2,6,2,7,1,28,1,6,2,30,1,7,1,13,2,6,1,13,1,29,1,7,1,6,1,13,4,30,1,6,1,29,1,30,2,29,1,30,2,6,1,30,1,29,1,30,3,28,3,30,1,28,1,30,3,28,1,6,1,30,2,6,1,30,1,29,1,6,1,30,3,28,1,30,3,28,1,30,2,28,2,30,4,6,1,30,5,28,1,30,1,13,1,30,1,6,1,28,1,30,1,28,3,30,2,6,1,13,1,7,1,13,1,8,1,7,1,6,1,13,1,12,1,17,2,9,1,11,1,9,2,8,2,13,2,8,3,13,1,9,2,8,1,10,1,9,1,8,1,13,1,8,1,7,1,9,1,8,1,13,1,6,1,7,2,6,1,13,1,6,1,13,2,6,1,8,1,7,1,6,1,7,1,8,1,13,4,8,1,13,3,6,1,13,2,6,2,7,2,13,1,7,1,30,1,13,1,7,1,29,2,6,3,13,1,6,2,7,2,13,1,29,1,6,2,29,1,6,3,30,1,6,3,28,1,13,1,7,1,6,3,7,2,13,4,8,1,13,1,10,1,11,1,24,1,13,7,24,1,8,1,10,1,8,1,10,2,13,1,12,1,9,2,8,1,13,1,29,1,28,7,30,1,29,1,30,1,28,1,30,1,28,17,29,1,6,1,30,1,6,2,27,1,29,1,27,1,29,1,27,3,25,7,8,2,24,2,25,1,24,1,27,1,8,1,25,1,27,1,24,3,8,1,25,1,8,1,25,1,24,8,25,1,24,1,8,1,15,1,24,2,25,1,24,1,25,1,24,1,25,2,27,2,29,1,27,1,30,1,27,3,30,1,27,1,30,1,29,1,26,2,25,1,27,1,26,2,25,1,27,1,25,2,24,5,8,2,25,6,24,1,25,2,8,2,25,1,24,1,8,1,6,1,30,2,28,1,30,4,28,4,30,1,28,1,30,3,28,1,6,2,30,1,28,1,30,6,13,1,7,1,6,1,29,1,13,3,6,3,30,2,28,1,6,1,30,1,6,1,30,9,6,1,30,4,6,1,30,6,6,1,30,2,28,1,30,1,28,1,6,1,7,1,30,2,28,1,30,4,6,1,29,1,30,1,29,1,28,1,29,1,30,3,6,1,30,2,29,2,28,1,30,1,29,1,30,2,6,1,30,1,6,3,30,1,6,3,29,1,28,1,29,1,13,2,29,1,30,1,29,1,6,1,28,1,30,1,6,4,30,1,11,1,7,1,28,1,30,1,29,2,7,1,6,1,30,3,28,1,30,3,6,1,30,2,29,1,30,2,28,1,29,1,30,2,6,1,29,1,30,1,29,1,30,1,28,1,30,4,29,2,30,1,6,1,30,1,28,2,6,2,29,1,6,3,7,1,30,1,6,1,30,1,6,2,30,1,29,1,6,2,13,1,30,1,7,1,13,1,6,1,29,1,6,1,13,2,6,1,7,1,6,4,30,1,6,2,29,1,28,1,7,1,6,1,29,1,6,2,29,1,6,1,30,1,29,1,6,3,29,1,30,2,7,1,30,3,28,1,30,3,28,2,30,3,6,2,30,3,6,1,30,1,6,2,30,1,6,4,29,1,30,1,6,1,30,1,6,2,30,3,28,2,6,2,30,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,29,1,28,3,30,2,28,1,30,1,28,1,30,1,29,2,6,1,30,5,6,1,30,1,29,1,30,1,6,1,30,1,13,1,29,1,30,1,28,1,30,1,28,1,30,2,28,1,6,2,30,3,28,3,6,1,29,1,6,5,30,1,28,1,30,1,28,1,30,1,28,4,30,2,28,2,6,1,7,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,1,29,1,28,1,13,1,6,2,7,1,13,2,6,1,29,2,6,2,29,1,6,2,30,1,7,1,6,1,13,1,6,2,30,2,6,1,30,1,6,1,29,1,6,2,29,3,6,2,30,1,6,1,30,1,6,1,30,1,7,1,30,1,13,1,6,2,30,2,6,1,7,1,6,1,13,3,8,1,13,1,9,1,6,2,13,1,29,2,30,1,28,1,30,1,28,3,30,1,6,1,30,1,13,1,6,1,13,1,7,1,13,1,7,1,13,1,6,4,30,1,6,2,30,1,6,5,13,1,6,1,7,1,6,1,7,1,13,1,6,1,7,1,6,1,13,1,7,2,29,1,13,2,29,1,6,1,30,1,6,2,28,2,30,3,28,1,29,1,28,1,30,1,28,1,6,1,30,1,6,1,28,2,30,1,28,1,6,1,9,1,28,2,6,1,30,2,29,1,6,1,28,1,29,1,6,1,29,1,6,2,7,1,30,1,13,1,6,2,7,1,6,1,13,5,29,3,6,1,29,1,6,1,13,1,6,2,30,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,9,1,13,2,8,1,13,3,7,2,29,1,13,2,6,1,13,1,6,1,30,1,29,1,13,1,30,5,29,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,3,28,1,30,2,29,1,30,1,29,1,6,1,13,1,30,1,6,1,13,1,6,1,30,1,29,1,6,1,28,1,7,1,13,1,30,2,6,2,30,1,28,1,29,1,6,1,30,1,28,1,6,1,30,1,28,2,30,1,6,1,30,2,29,1,13,1,30,1,6,3,30,1,6,1,30,1,29,1,6,1,30,1,28,2,17,1,9,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,29,2,30,1,29,1,6,1,29,1,6,4,30,2,28,2,29,1,30,6,6,1,30,1,6,1,30,1,6,1,28,1,29,1,28,1,30,1,29,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,29,1,6,1,7,1,13,1,6,1,7,1,6,2,29,1,6,1,13,1,29,1,6,1,29,1,30,1,6,1,30,1,28,1,6,4,29,1,28,1,29,2,6,1,29,1,6,1,30,3,6,1,30,1,29,1,6,1,30,2,29,1,13,1,6,2,13,1,6,1,8,2,13,1,8,1,13,1,8,1,13,1,30,1,28,4,29,1,28,2,30,3,28,1,30,1,6,1,30,4,6,1,30,1,29,1,28,1,30,3,6,1,29,1,30,2,29,1,6,1,28,1,6,2,28,1,6,1,30,2,6,3,30,1,6,1,30,1,6,1,29,1,6,1,7,1,6,2,29,1,6,1,28,1,13,1,30,2,6,5,30,2,6,2,7,1,29,1,6,1,28,1,30,1,28,1,6,1,30,2,6,1,30,2,6,2,28,1,29,1,30,1,29,2,28,1,6,2,30,1,29,1,30,1,6,1,30,1,28,2,30,2,6,3,13,2,6,1,13,3,9,1,13,1,6,1,7,1,30,1,6,1,30,1,29,1,6,1,30,4,29,1,30,1,9,2,30,3,28,1,6,1,30,1,29,1,30,1,29,1,13,1,6,2,13,2,6,2,30,5,29,1,30,1,29,1,6,1,30,1,29,2,6,1,30,4,29,1,30,2,29,4,30,6,29,1,6,1,30,1,6,1,30,1,6,2,29,1,6,5,28,3,30,1,28,4,30,1,28,1,30,1,29,2,6,1,24,1,13,4,9,5,11,1,9,1,8,1,11,1,9,3,8,1,9,2,8,1,9,4,11,1,9,2,17,1,9,1,10,1,17,1,11,1,10,1,9,3,11,1,9,1,11,1,9,1,10,1,17,1,9,1,12,1,17,2,11,1,17,1,11,1,17,1,11,2,9,1,11,1,16,1,11,1,10,1,17,1,9,1,10,1,12,1,11,1,12,1,11,1,17,1,11,2,12,1,11,6,12,1,9,1,10,1,9,1,11,1,9,8,13,1,6,1,28,1,30,3,28,2,30,1,28,21,30,1,28,11,30,1,28,3,30,1,28,5,30,1,28,5,6,1,28,7,30,3,28,1,30,1,28,1,30,2,6,1,29,1,30,2,6,1,29,1,6,3,30,1,29,1,7,1,13,1,6,1,30,1,6,3,28,1,7,1,6,4,7,2,13,1,7,1,6,1,13,3,6,1,13,1,8,1,13,1,8,1,7,1,13,7,6,1,13,2,6,1,13,4,6,1,9,1,8,1,13,2,8,1,9,1,13,2,8,8,9,1,10,1,13,1,9,2,8,2,9,1,8,1,9,3,13,1,8,2,9,1,8,3,11,1,9,3,10,1,9,2,11,2,17,8,12,1,17,5,11,1,17,1,12,1,16,1,17,1,11,1,17,2,16,2,11,1,16,1,9,2,13,2,30,1,6,2,8,1,17,3,12,1,9,1,8,1,13,1,6,4,30,1,29,1,6,1,29,1,30,2,29,1,6,1,30,2,28,2,30,1,28,3,30,6,28,1,30,1,28,1,30,1,28,2,30,3,29,1,6,1,27,1,26,1,27,2,26,1,27,2,29,1,6,1,25,1,8,1,6,1,7,1,29,1,30,1,29,1,6,2,13,1,6,2,13,5,6,1,13,4,9,2,17,1,10,1,16,1,9,1,29,1,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,1,30,2,29,1,30,3,28,3,30,1,28,2,30,2,28,6,30,2,28,4,30,2,28,2,6,1,8,2,13,3,6,1,13,1,6,2,13,1,29,1,13,1,6,1,28,1,30,1,28,3,7,1,13,1,8,1,9,1,13,3,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,3,6,1,30,1,28,5,30,1,28,1,30,1,28,17,30,1,28,8,6,1,30,1,28,4,30,1,28,3,30,2,28,2,30,1,28,3,30,1,28,20,30,1,28,3,30,1,28,11,30,1,28,3,30,1,28,9,30,1,28,3,30,3,28,8,6,1,13,1,6,1,30,2,13,1,6,1,13,1,6,1,30,1,6,1,30,2,6,2,29,1,13,2,9,1,13,2,8,1,13,1,8,1,13,2,9,1,10,2,13,1,7,1,13,3,28,16,17,3,13,2,9,1,6,1,13,1,7,1,6,3,28,1,30,1,28,3,29,1,28,1,30,2,29,1,6,2,8,1,13,1,9,2,17,3,28,7,13,1,9,1,13,1,29,1,28,41,6,1,13,2,6,1,28,2,9,1,17,1,16,1,11,1,6,1,13,2,8,3,9,1,16,1,17,3,8,1,28,1,6,1,29,1,28,1,30,1,6,1,9,1,13,1,30,1,28,8,6,2,30,2,28,1,30,1,28,5,}, {16,1,17,2,11,1,17,1,16,2,11,1,9,1,13,1,6,2,30,1,28,3,7,1,9,1,8,1,28,35,30,1,28,11,30,3,28,1,6,2,11,1,17,1,8,1,6,1,28,1,30,2,7,1,8,3,13,1,7,1,6,2,13,1,9,2,11,1,17,1,16,1,12,1,17,2,9,1,11,1,10,1,13,2,6,2,29,1,7,1,24,1,13,1,6,1,7,1,6,1,30,2,8,1,17,6,16,1,9,3,13,1,9,1,11,1,17,3,8,1,7,1,6,1,8,4,24,1,13,1,28,35,30,2,8,1,13,1,24,1,11,1,9,2,13,3,6,1,28,1,6,1,17,7,16,4,9,1,8,1,13,1,6,2,8,2,6,1,9,1,13,1,8,1,9,1,13,1,9,1,12,1,10,1,12,1,17,1,11,1,17,2,29,1,28,13,6,1,30,2,6,1,30,1,6,2,7,1,6,1,13,1,30,1,13,1,6,4,30,1,29,2,6,1,30,1,6,3,30,1,6,1,30,1,28,1,6,1,30,1,6,2,30,2,6,1,30,1,29,1,30,8,28,1,29,1,28,1,6,1,30,1,29,1,6,1,30,2,28,10,6,1,28,1,6,1,30,1,7,1,30,1,6,1,30,1,28,1,30,3,29,2,30,1,6,2,30,2,6,1,30,5,6,1,29,1,30,3,6,1,30,2,6,3,29,1,6,2,30,3,6,1,28,1,30,1,6,1,30,2,28,1,30,2,6,1,28,1,30,6,28,1,30,4,28,1,6,1,29,1,28,1,30,1,28,1,6,1,30,1,28,2,30,2,28,2,30,1,28,1,30,2,6,1,30,3,6,1,28,1,6,2,30,1,6,1,7,1,6,2,13,3,30,1,6,1,13,1,8,1,13,1,8,1,13,1,6,1,30,3,29,1,6,1,30,2,28,3,30,1,28,1,30,10,28,1,30,4,6,1,30,4,29,1,28,1,6,2,30,5,28,2,30,4,28,1,30,1,29,1,6,1,28,2,12,1,9,1,7,1,28,4,30,3,6,3,7,2,13,2,6,1,7,1,10,1,17,1,11,1,9,1,11,1,9,1,11,1,13,3,7,1,13,2,9,1,13,1,8,1,9,1,8,1,9,1,13,4,9,1,13,2,7,1,8,1,13,1,6,2,29,1,7,1,13,1,6,1,13,2,9,1,6,1,7,1,13,6,8,1,13,1,6,1,13,6,6,1,13,1,6,1,7,1,13,1,7,1,6,1,7,1,6,3,13,2,29,1,6,3,7,1,6,3,7,1,6,2,13,1,7,2,6,3,7,1,13,1,7,2,13,1,7,1,8,1,13,1,10,1,8,1,9,1,11,1,9,1,24,1,8,1,13,1,8,1,13,3,24,1,10,1,24,1,9,2,10,1,9,1,8,1,11,1,17,1,10,1,29,1,30,1,28,12,30,2,28,3,30,2,28,10,30,1,29,3,6,1,27,1,26,1,27,2,29,1,26,1,25,2,26,1,25,2,26,1,25,1,24,7,25,1,24,1,8,1,25,7,24,8,25,1,24,8,8,1,24,1,25,1,27,2,30,1,27,4,26,1,27,1,29,2,27,2,26,1,25,1,27,1,25,1,26,1,29,1,26,1,27,2,24,2,15,1,24,4,25,1,24,1,25,1,8,1,25,4,24,4,25,1,8,1,6,1,29,2,28,3,6,1,30,1,28,3,6,1,30,1,28,5,30,3,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,13,1,6,2,13,1,6,1,13,1,7,1,13,2,6,1,28,1,30,1,29,1,6,2,29,1,6,1,30,4,28,1,30,3,6,1,30,2,29,2,30,1,29,1,6,1,29,1,30,1,6,2,30,3,29,1,28,1,30,2,6,3,29,1,30,2,29,1,30,1,29,1,30,5,6,1,30,2,6,1,29,1,6,1,28,1,29,1,30,1,28,1,30,2,29,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,2,6,1,30,1,28,1,29,1,30,2,29,1,6,1,29,2,7,1,8,1,6,1,29,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,2,29,1,28,1,30,3,6,1,29,1,30,1,29,1,30,2,29,1,6,1,28,1,30,2,29,1,30,1,6,2,29,1,30,1,6,1,28,1,6,2,30,1,6,1,30,2,6,1,28,1,6,1,29,1,6,1,13,1,6,1,13,1,6,1,13,2,7,1,13,2,6,1,13,1,6,1,7,1,6,2,13,2,6,2,7,1,29,1,30,2,6,3,30,1,6,2,29,1,6,2,30,2,6,1,28,1,6,2,29,1,30,3,6,1,7,1,6,1,30,1,29,1,28,1,30,2,6,1,28,1,29,1,30,1,28,1,30,3,6,1,29,1,28,2,6,3,30,2,13,1,6,1,29,1,28,1,6,3,29,1,28,1,30,4,6,1,29,1,30,1,6,1,28,1,30,4,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,3,28,2,6,2,30,1,29,1,28,1,6,1,30,6,28,2,13,1,30,2,6,1,30,5,6,2,29,1,30,2,28,1,6,1,28,1,30,1,29,1,30,1,6,1,30,1,28,2,30,1,6,1,28,3,6,1,28,6,30,1,7,1,6,1,28,3,30,1,28,5,30,1,28,1,30,3,28,1,30,1,28,2,30,2,28,1,30,3,6,2,13,1,7,1,29,1,13,1,29,1,30,1,13,1,7,1,30,2,13,1,30,2,13,1,6,2,7,1,6,2,30,1,6,1,30,1,7,1,28,1,6,1,30,1,6,1,30,1,29,1,6,6,13,2,29,1,6,4,7,1,6,1,30,2,13,2,6,1,29,1,7,1,6,2,7,1,9,1,13,1,29,1,30,2,28,1,30,1,28,2,30,2,28,2,30,1,29,1,30,3,8,1,13,2,28,2,6,1,28,1,6,1,7,1,13,1,6,1,13,5,6,2,29,1,13,2,6,3,7,1,13,5,9,2,13,1,6,1,7,1,13,2,9,1,10,1,13,2,11,1,16,1,9,1,16,1,10,1,9,1,13,1,9,1,13,1,9,1,6,3,8,1,11,1,13,2,6,1,30,1,6,1,29,1,6,1,13,1,6,1,8,1,7,1,13,1,7,1,6,1,13,3,6,1,13,1,9,1,13,4,9,1,13,4,9,1,13,3,9,1,11,1,9,1,13,2,8,1,9,1,13,1,7,2,9,2,13,1,8,1,13,1,9,2,8,1,13,3,7,1,6,1,7,1,13,1,6,1,13,1,9,1,13,1,6,6,29,1,13,1,6,1,13,1,9,1,13,2,6,1,8,1,9,1,6,1,29,1,6,2,30,2,28,1,30,1,6,1,30,1,6,1,13,1,6,1,28,1,30,1,6,3,30,1,6,1,30,2,28,1,30,1,6,3,13,3,9,1,13,1,29,1,8,1,6,1,30,1,6,2,30,1,6,1,13,1,29,1,30,1,29,2,30,1,6,1,30,2,28,2,9,1,17,1,28,2,30,1,28,1,30,1,28,4,30,1,29,1,30,2,28,1,30,4,6,2,13,1,28,1,29,1,30,1,6,3,30,3,29,2,28,2,29,1,28,1,30,1,6,1,29,1,30,1,29,1,6,2,29,1,6,1,29,1,6,6,30,1,6,1,7,1,29,1,30,1,13,1,6,1,7,1,6,2,30,5,6,2,29,1,30,1,6,1,28,1,6,1,30,2,6,1,30,1,6,2,30,2,6,2,30,1,6,2,29,1,6,1,29,1,13,2,6,1,29,1,6,1,30,1,13,3,7,1,13,2,6,1,30,1,6,1,30,4,13,1,28,1,30,1,28,1,29,1,30,3,6,1,30,1,29,1,6,1,30,1,16,1,9,1,29,1,6,2,29,1,30,2,6,2,30,2,29,1,6,1,30,1,6,1,30,1,29,2,6,1,29,1,6,1,30,1,6,2,30,1,13,3,7,1,6,3,30,1,6,4,30,2,6,2,28,2,6,3,29,2,6,4,30,5,6,1,29,1,28,1,29,1,6,1,29,1,6,1,29,1,30,2,6,1,30,1,29,1,28,1,6,2,30,1,28,1,29,1,28,2,30,1,29,1,13,1,6,3,13,2,7,1,13,1,29,1,6,5,29,1,30,1,6,2,28,1,8,1,13,1,30,1,6,1,30,2,6,1,30,2,6,1,29,1,6,2,13,1,30,1,6,1,29,1,30,1,29,1,30,3,28,1,30,1,29,1,28,1,30,4,28,1,30,4,29,2,6,1,30,2,6,1,30,1,29,1,28,1,6,1,29,2,6,2,29,1,30,1,6,2,29,1,6,1,29,2,6,1,29,1,6,2,30,4,28,1,30,1,28,6,29,1,6,3,7,1,8,2,13,1,9,1,13,1,10,1,8,1,9,4,13,1,8,1,10,1,11,1,13,1,8,1,13,3,8,1,9,2,11,1,9,2,10,1,9,1,11,1,10,1,11,1,9,1,11,1,9,2,11,1,10,2,9,3,12,1,11,1,17,2,11,4,9,1,11,1,9,1,16,2,11,2,16,1,11,2,17,2,10,1,11,5,12,1,11,1,9,1,11,2,10,1,11,2,9,1,11,1,9,3,11,1,9,4,8,1,13,2,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,28,30,2,28,3,30,1,28,2,30,2,28,5,13,1,30,1,28,3,30,3,28,1,6,1,30,1,28,2,29,1,30,3,28,2,29,1,6,1,30,1,29,1,30,3,6,1,28,1,6,1,13,1,6,2,29,1,6,1,30,1,7,1,30,1,7,1,30,1,6,5,13,1,6,4,7,1,13,1,8,1,13,1,7,2,13,2,6,1,13,1,6,1,7,1,6,1,13,1,6,1,13,5,8,1,13,1,10,1,13,11,8,1,13,1,9,2,13,2,9,2,8,3,13,1,8,3,13,1,10,1,8,1,9,2,8,1,9,3,13,1,8,2,9,2,10,1,9,1,12,1,9,1,11,1,17,7,11,1,16,1,12,1,17,1,11,1,12,1,11,1,17,2,16,1,11,2,16,1,11,2,16,1,17,16,8,1,13,1,7,1,6,1,7,1,6,1,29,2,30,1,29,1,30,2,29,3,28,2,30,1,29,1,30,1,29,1,28,1,30,1,28,6,30,2,28,1,29,1,6,1,29,2,27,4,26,1,27,2,29,1,6,1,7,1,8,1,7,2,6,2,7,1,6,2,7,1,29,1,6,4,13,3,7,1,13,1,9,1,13,1,8,1,9,3,17,1,16,1,8,1,30,2,28,1,30,1,28,1,30,1,28,12,30,1,28,7,30,2,28,2,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,6,30,1,9,1,13,4,6,2,13,1,6,1,7,1,6,2,28,1,30,1,28,3,30,1,13,2,8,2,13,1,6,1,30,1,29,1,6,1,30,2,28,6,30,2,28,2,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,7,30,2,28,5,30,2,28,1,30,1,6,2,28,1,30,4,28,2,30,1,28,2,30,1,28,3,30,2,28,3,30,1,28,1,30,2,28,18,30,2,28,7,30,1,28,17,30,1,28,4,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,5,30,1,6,1,13,1,10,1,9,1,13,3,6,2,28,1,30,1,29,1,28,2,6,2,13,2,8,2,13,1,9,1,8,1,13,1,9,2,8,1,13,1,6,2,30,1,7,1,13,1,28,15,6,1,17,2,16,1,8,1,13,1,8,1,6,1,7,1,29,1,6,1,13,1,30,1,28,3,30,1,28,3,6,1,28,2,29,1,13,1,8,3,9,1,11,1,17,2,30,1,28,2,30,1,28,3,24,1,8,1,9,1,29,1,30,1,28,40,29,1,13,1,6,2,28,2,10,1,17,3,13,3,8,1,13,1,9,2,16,1,11,1,17,1,12,1,6,1,28,2,30,1,28,1,6,2,8,1,13,1,28,9,13,1,30,1,6,3,29,1,28,5,}, {9,1,17,2,16,3,17,2,9,1,8,1,13,1,7,1,28,1,30,2,28,1,6,1,12,1,13,1,29,1,28,25,30,2,28,4,30,1,28,6,6,1,29,1,28,1,30,1,28,1,30,2,28,5,6,1,13,1,8,1,10,1,11,1,13,1,28,1,30,1,28,1,30,1,7,1,9,1,8,1,6,1,13,2,8,3,11,1,12,1,17,6,16,1,12,1,8,1,13,1,6,2,29,2,8,1,9,1,8,1,29,1,13,3,9,1,12,1,17,4,16,1,17,1,11,1,9,1,11,1,16,1,9,1,11,1,17,3,13,4,6,1,8,1,9,1,13,1,7,1,6,1,28,34,30,1,6,2,7,1,11,1,10,1,12,1,9,1,13,2,7,1,30,2,7,1,17,5,16,1,17,1,16,1,9,2,8,1,12,1,13,1,11,1,7,1,6,1,8,1,13,6,8,2,9,1,17,1,16,1,17,4,9,1,28,13,30,1,13,1,7,1,6,1,30,1,28,1,7,1,30,1,7,1,6,3,30,2,6,2,29,1,6,1,30,3,6,1,30,1,6,2,30,2,6,1,29,1,6,1,28,1,29,1,6,1,30,1,6,1,30,4,29,1,30,3,28,1,6,1,28,1,6,1,30,3,6,1,30,1,6,1,30,1,28,7,30,2,28,1,6,1,30,4,28,1,6,1,30,1,6,1,30,1,6,1,30,2,6,2,30,4,28,1,6,1,30,1,6,3,29,1,30,1,6,2,28,1,30,2,7,1,30,5,6,2,30,1,28,1,6,1,30,2,6,2,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,2,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,4,6,1,30,1,28,5,30,3,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,6,3,13,1,7,1,8,1,13,1,6,1,30,2,13,2,7,1,13,1,6,1,28,1,30,1,28,3,30,2,28,3,30,1,28,3,29,1,28,4,29,2,30,1,29,1,28,1,6,2,28,1,30,1,28,1,30,1,29,1,30,5,29,1,28,1,29,1,30,2,29,1,28,1,30,5,6,1,30,2,6,1,28,2,10,1,17,1,9,1,29,1,6,1,29,1,30,1,28,1,30,2,28,1,29,1,6,2,7,1,13,2,8,1,6,1,8,1,17,2,10,2,12,1,24,1,8,2,13,1,9,1,13,1,8,1,13,2,8,1,9,1,8,1,9,3,13,1,8,1,13,1,8,1,13,1,8,2,13,1,30,1,6,1,13,1,6,1,29,1,6,2,13,2,6,1,13,1,7,1,13,1,8,1,13,3,8,1,13,4,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,3,6,1,13,1,7,1,30,1,13,1,6,1,13,1,6,3,30,2,29,1,13,1,6,2,13,1,7,1,30,1,7,1,6,1,13,1,6,1,7,1,6,1,13,1,8,1,13,1,8,1,13,1,9,1,24,1,11,1,9,2,24,1,7,1,13,1,8,1,13,1,8,2,24,1,9,3,10,1,9,1,10,1,11,1,9,1,7,1,30,1,28,1,30,1,28,1,30,1,28,8,30,1,29,1,28,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,1,29,1,30,1,29,1,30,1,29,1,27,7,26,1,25,1,26,2,25,3,8,1,24,1,25,1,24,1,8,2,25,3,8,1,27,1,25,1,26,1,24,1,8,1,25,2,24,9,25,1,24,5,25,1,27,1,24,1,8,1,27,1,26,1,27,3,29,2,27,1,26,1,27,1,29,1,27,5,25,2,27,4,25,1,24,3,15,1,24,3,25,1,29,1,25,7,24,1,8,1,24,1,8,1,6,2,29,1,28,1,30,1,28,2,30,1,29,1,28,1,30,3,28,1,30,2,28,1,30,3,29,1,6,1,30,1,6,1,30,3,28,1,30,8,6,1,29,1,13,1,6,1,30,1,6,2,29,1,6,1,30,4,28,1,30,1,28,1,30,1,28,1,30,5,28,3,6,1,30,2,29,1,30,1,28,1,30,5,6,1,29,1,6,2,30,1,28,1,30,1,29,4,30,2,6,1,30,1,6,1,30,1,28,1,30,2,29,1,30,2,28,1,6,1,30,1,29,1,30,1,28,1,6,1,28,1,30,4,28,2,29,1,28,1,29,1,30,2,7,1,29,1,6,1,30,1,6,1,30,1,28,1,30,1,6,1,30,2,6,2,13,1,9,1,13,1,30,1,6,1,28,1,29,1,30,2,28,1,30,2,28,1,6,1,30,2,29,2,30,2,29,1,6,1,30,2,28,1,6,3,7,1,30,2,28,1,29,1,7,1,30,1,29,1,6,1,7,1,30,1,6,1,30,3,6,1,30,1,6,1,13,1,6,1,13,2,6,3,30,1,6,2,7,1,6,2,13,1,6,2,29,1,13,2,30,1,7,1,6,1,13,1,30,1,6,1,30,3,29,1,6,1,13,1,6,3,29,1,6,1,30,2,29,1,30,7,29,1,30,6,28,2,30,1,28,1,30,2,6,1,30,4,29,1,30,4,7,1,6,2,7,1,30,2,29,1,30,2,6,1,28,2,6,1,29,1,30,4,6,1,30,1,28,2,30,6,28,1,30,4,28,1,30,1,28,3,30,3,28,1,30,1,28,2,6,2,30,1,6,1,30,1,28,2,30,1,28,1,30,1,28,8,30,1,13,2,6,4,30,1,28,5,29,1,6,1,13,1,30,1,28,3,30,3,6,1,30,1,13,1,28,6,30,2,28,8,30,1,28,1,29,1,28,3,30,1,13,1,28,1,30,1,13,3,9,2,10,1,8,1,9,1,13,3,17,1,9,2,13,1,9,1,13,1,30,1,6,1,28,2,6,2,29,2,28,1,6,1,28,1,30,2,28,1,30,1,13,1,30,1,6,1,30,4,6,9,13,1,30,1,6,1,8,1,16,2,11,2,16,1,9,1,13,1,11,1,8,1,13,3,8,1,9,1,13,1,9,1,16,1,8,1,13,1,6,2,16,1,9,1,11,1,16,1,17,2,16,2,9,1,13,1,30,1,29,1,13,1,6,1,30,1,28,3,29,1,28,1,29,1,6,1,30,1,29,1,28,1,30,1,28,3,30,1,13,1,6,1,28,4,30,2,28,8,7,1,6,1,28,5,6,1,28,1,13,2,28,1,30,3,6,1,30,3,28,2,6,1,28,1,29,1,6,1,30,1,6,2,29,1,30,2,8,1,13,1,30,1,6,2,29,1,8,1,13,4,30,1,6,1,9,1,16,1,9,1,16,1,17,1,9,1,16,1,9,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,30,2,6,2,29,1,8,1,29,1,6,1,28,1,6,3,28,1,6,1,28,1,30,1,28,2,30,1,6,1,28,3,30,1,28,1,30,1,28,1,30,1,28,4,30,2,28,5,30,2,13,1,30,3,28,2,13,1,6,1,30,2,28,4,30,1,28,1,6,1,13,1,8,1,6,1,30,1,13,1,30,1,9,2,8,1,11,1,13,2,6,1,13,3,29,1,28,1,6,1,29,1,30,1,28,1,30,2,17,1,6,1,30,3,28,2,30,1,29,1,6,1,30,2,28,1,30,1,6,1,13,1,30,1,6,1,30,2,29,1,6,3,30,1,6,2,29,1,30,1,6,4,30,1,29,1,28,1,30,1,28,2,30,3,6,1,29,1,6,2,30,1,6,3,30,1,6,1,30,1,6,2,29,2,6,3,28,1,30,5,6,2,30,1,29,2,30,1,7,1,6,1,30,1,6,1,30,5,6,1,30,4,6,4,7,1,6,2,13,1,28,1,30,1,29,1,6,2,7,1,13,3,6,1,29,1,30,1,28,1,30,1,6,1,30,2,29,2,30,1,6,2,30,1,28,1,6,1,30,1,6,1,28,1,29,1,6,1,11,1,13,1,30,1,6,4,29,2,6,1,30,2,29,2,30,1,28,1,30,3,6,1,30,2,6,2,29,1,6,1,7,1,6,4,30,1,6,2,13,1,6,2,30,1,29,1,28,1,6,1,8,1,9,1,6,2,13,1,29,1,6,1,30,1,7,1,30,3,13,1,28,1,6,2,30,1,8,1,9,1,6,1,30,1,6,1,30,2,29,1,30,1,29,1,30,1,6,1,30,2,28,5,30,1,28,1,30,1,6,1,13,1,6,1,30,1,6,2,7,1,6,2,13,1,7,1,6,1,29,1,6,1,13,1,30,2,6,1,30,1,9,1,6,1,30,1,28,1,29,1,6,1,30,1,7,1,6,1,30,1,28,1,6,1,13,1,6,2,7,1,6,1,29,1,28,2,30,1,6,1,30,1,28,2,6,1,28,1,30,2,6,2,29,1,6,2,30,1,28,2,6,1,29,1,6,1,29,1,6,1,13,1,6,3,29,1,6,1,30,1,29,1,6,5,30,1,29,1,6,1,29,1,6,3,29,1,28,1,30,2,28,8,29,1,30,2,6,2,13,2,9,1,13,2,9,3,8,1,9,1,13,1,10,1,9,2,13,2,9,1,8,1,6,1,13,1,11,1,9,5,10,1,11,4,10,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,17,2,11,6,17,1,11,1,9,1,13,1,9,1,10,1,11,1,16,1,11,1,17,1,10,1,17,2,12,1,11,4,10,1,12,1,17,1,11,5,17,1,12,1,8,1,9,1,8,1,9,3,8,1,9,1,13,2,7,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,6,30,1,28,15,30,1,28,8,30,1,28,4,30,2,28,3,7,1,6,1,28,5,30,1,28,1,30,1,28,8,30,1,6,1,30,1,28,1,6,1,28,1,6,3,30,1,13,1,30,1,6,1,7,1,29,1,6,8,29,2,6,1,30,1,6,1,13,1,6,3,30,1,6,1,13,1,6,1,13,1,7,1,6,1,7,1,13,1,7,1,13,2,7,1,6,2,13,1,6,1,13,1,6,1,13,1,7,1,6,1,10,1,13,3,8,1,13,2,8,2,7,1,13,1,8,1,13,1,8,1,13,1,11,1,13,1,7,1,8,2,7,1,13,3,9,1,13,1,9,1,8,2,13,1,9,1,8,1,13,1,9,1,13,1,10,1,24,1,10,1,9,2,8,1,10,1,9,1,10,2,17,3,10,1,12,1,17,1,11,1,12,1,16,3,11,2,17,1,12,1,11,1,9,1,11,2,16,1,12,1,17,1,12,1,17,1,12,1,17,3,11,1,17,11,12,1,24,1,8,1,13,1,6,2,13,1,6,1,29,2,6,2,29,1,30,1,29,3,30,3,28,1,30,3,28,2,29,1,28,2,29,2,30,1,6,1,29,2,27,1,29,1,27,1,29,1,27,2,29,1,6,1,29,1,6,1,13,1,6,1,29,1,6,1,7,2,13,1,30,1,6,1,7,1,6,2,13,1,6,1,13,4,7,2,24,1,9,1,24,1,9,3,17,2,13,1,28,3,30,3,28,10,30,1,28,5,30,1,28,3,30,2,28,4,30,1,28,11,30,1,28,8,8,1,13,3,8,1,7,1,6,1,13,2,30,1,29,2,30,2,28,2,6,1,13,5,29,1,6,1,30,1,28,1,30,1,6,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,4,30,3,28,1,30,2,29,1,30,2,28,1,30,2,29,1,30,3,28,4,30,3,28,3,30,1,28,5,30,1,28,1,30,2,28,22,30,1,28,3,30,1,28,5,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,4,30,1,28,2,30,2,6,1,13,1,16,1,17,3,13,1,30,3,29,1,30,4,6,1,7,1,8,1,9,1,8,1,9,1,13,1,10,1,9,1,6,1,28,1,30,2,29,1,6,2,7,1,28,15,29,1,17,2,9,3,13,2,29,1,6,1,7,1,30,1,6,1,28,5,30,1,6,1,28,2,6,1,29,1,6,1,8,1,9,2,11,1,12,1,17,2,28,7,8,2,9,1,6,1,30,1,28,40,13,3,29,1,28,2,17,3,9,1,13,1,8,1,13,1,9,1,8,1,9,1,11,2,17,3,13,1,28,5,13,1,9,1,8,1,28,9,30,2,6,2,28,1,6,1,28,5,}, {9,1,16,1,17,2,11,1,16,3,9,1,6,1,13,1,6,1,30,1,28,2,30,1,29,1,8,2,28,29,6,1,30,1,28,2,30,1,28,2,30,1,28,6,30,1,28,2,30,2,28,1,30,2,28,1,13,1,8,1,10,2,29,1,28,1,30,1,28,1,29,1,13,1,9,1,13,2,8,1,6,1,24,2,13,1,11,1,16,1,17,1,11,2,12,1,17,1,12,1,16,1,10,1,8,1,13,1,6,1,8,1,6,1,7,1,9,1,8,1,13,1,6,1,13,1,29,1,8,1,7,1,17,6,11,1,9,1,10,1,9,2,11,1,17,4,8,1,6,1,13,1,6,1,13,1,24,1,8,1,24,1,8,1,30,1,28,34,6,2,9,1,8,1,9,1,12,1,17,1,13,1,8,1,6,1,13,2,30,2,17,7,16,3,11,1,8,2,24,1,13,1,7,1,30,1,6,1,24,1,7,1,9,1,13,3,8,1,9,1,12,1,17,3,16,1,17,1,8,1,28,13,30,1,6,1,30,1,29,1,6,3,7,1,6,1,13,1,29,1,7,1,13,2,30,2,6,1,30,1,28,2,6,1,29,1,6,1,30,2,29,1,6,1,30,1,6,2,30,1,6,1,28,2,6,1,30,4,29,1,30,1,6,1,30,3,29,1,30,2,29,1,28,1,30,2,28,9,30,1,28,2,6,1,30,1,6,2,29,1,30,1,29,1,6,2,30,1,6,1,29,1,6,2,30,2,28,1,29,1,30,1,28,1,30,1,6,2,30,1,6,3,28,1,30,4,28,1,30,2,28,1,6,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,6,1,29,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,1,6,1,30,1,28,1,6,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,4,28,1,29,1,28,1,30,1,29,1,6,2,8,2,13,1,7,1,6,4,13,2,29,1,30,4,28,2,30,2,28,1,30,3,28,1,30,1,28,2,30,1,29,1,28,1,29,1,30,2,28,1,30,2,28,1,6,2,29,2,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,29,1,30,3,29,1,30,1,6,1,30,1,29,1,30,2,28,1,29,1,11,1,17,2,8,1,30,1,28,2,29,2,30,1,28,1,30,2,6,1,7,1,13,1,25,1,8,2,26,1,8,1,12,2,9,2,10,1,11,1,13,1,8,1,13,4,9,7,8,1,9,1,13,4,8,1,7,1,13,1,7,1,6,1,30,1,7,1,13,2,6,1,13,1,6,1,7,1,8,1,13,2,8,1,13,2,7,1,6,1,8,1,6,1,13,2,7,1,13,4,6,2,7,1,13,1,6,1,7,1,13,1,7,1,29,1,13,1,29,1,6,1,7,1,30,1,6,8,7,1,13,1,6,3,13,3,7,1,13,4,9,2,11,2,9,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,10,1,24,2,9,1,24,1,9,2,10,1,8,1,13,1,6,1,30,1,28,1,30,2,28,12,30,2,28,5,30,1,28,1,30,1,28,3,30,1,29,1,28,1,30,1,29,1,27,1,26,1,27,1,29,1,25,1,26,1,25,2,27,1,25,2,26,1,25,1,8,1,24,1,25,1,24,3,25,1,24,1,25,2,24,1,8,1,25,1,24,1,25,5,24,6,25,1,24,7,25,1,24,1,8,1,25,1,27,2,29,1,27,1,30,1,26,1,29,1,27,7,25,1,26,1,25,1,26,1,27,3,29,1,27,1,24,7,25,1,8,1,24,1,8,1,25,2,8,1,24,1,25,1,24,1,25,2,26,1,30,1,6,1,30,1,28,1,30,1,28,3,30,9,28,2,6,1,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,6,3,7,1,13,2,30,1,29,1,30,2,6,1,30,3,6,1,30,1,28,1,30,6,6,1,30,1,28,1,6,1,30,1,6,1,29,1,30,1,29,1,13,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,3,28,1,29,1,30,1,28,1,30,5,29,1,30,8,28,1,30,1,28,1,30,1,6,2,30,5,6,1,30,1,6,1,30,1,6,2,28,1,30,2,6,1,30,3,6,1,30,1,29,1,30,1,29,1,30,1,13,1,29,1,13,2,6,1,30,1,28,2,30,5,28,1,29,1,28,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,6,2,30,1,6,3,30,1,29,2,6,2,29,1,30,1,6,1,30,2,6,5,13,2,29,1,6,1,13,2,6,1,7,1,6,1,13,2,6,1,13,2,6,3,13,1,6,1,7,1,13,1,6,2,13,1,6,4,29,1,30,1,6,1,29,2,6,1,30,2,13,1,28,1,30,1,29,1,30,1,29,1,30,3,28,1,29,1,6,1,28,1,30,1,7,1,30,3,6,1,30,2,28,2,6,1,30,1,6,3,29,1,30,1,29,1,6,2,28,1,6,1,13,1,6,1,29,1,28,1,6,4,29,1,6,1,30,4,6,2,13,1,30,5,28,1,30,2,28,7,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,19,30,1,8,1,11,1,16,1,17,2,16,1,8,1,9,1,8,1,6,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,13,1,30,1,6,1,28,1,30,1,28,1,30,1,28,9,6,1,28,25,29,1,28,23,30,1,28,5,30,1,28,3,30,1,29,1,28,1,30,2,28,4,30,1,13,2,30,1,6,1,29,1,6,2,28,7,30,1,28,4,29,1,28,2,30,1,28,7,30,1,6,1,28,1,30,1,6,1,28,2,30,2,28,3,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,2,30,1,28,9,7,2,28,17,30,1,28,1,29,1,6,1,28,2,29,1,13,1,6,2,30,1,6,1,13,1,30,1,28,1,30,1,6,4,13,1,28,2,30,1,29,1,28,3,30,1,28,2,30,5,28,1,30,1,6,2,29,2,30,2,6,1,28,1,30,1,28,2,30,1,28,31,30,1,28,2,30,1,28,26,30,1,28,10,30,1,9,1,28,7,13,1,30,2,6,1,28,1,30,2,6,1,28,1,6,2,13,1,30,2,29,1,30,1,28,1,30,1,13,6,30,1,6,1,13,1,6,1,13,1,16,2,9,1,8,1,30,1,13,3,6,1,11,1,8,1,13,3,9,1,8,1,13,1,8,1,6,2,9,1,13,1,30,1,7,1,6,1,7,1,13,1,6,6,30,1,6,2,30,1,6,3,13,2,6,1,30,3,6,1,30,2,6,1,29,1,6,3,13,2,7,1,6,1,28,6,29,1,30,1,6,1,28,9,30,2,28,1,30,2,6,1,30,2,6,1,7,1,30,2,29,1,7,1,29,2,7,1,30,2,6,1,28,1,30,2,29,1,30,2,6,1,30,1,6,2,28,1,6,1,30,1,29,1,6,1,30,1,6,2,30,1,6,4,30,1,28,1,6,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,13,1,6,2,7,2,6,1,7,2,6,1,30,1,6,1,30,3,6,1,30,1,13,1,28,1,13,1,28,1,30,2,29,1,30,1,6,2,30,1,29,1,28,2,30,2,6,1,30,1,28,1,29,1,28,1,6,2,28,1,30,1,28,1,6,1,28,1,6,1,30,1,6,1,30,3,6,2,30,1,29,1,30,1,28,1,8,1,13,1,28,1,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,6,1,13,2,29,1,6,1,30,1,29,2,30,5,28,1,29,1,30,1,6,1,30,1,6,2,28,1,29,1,30,1,29,1,6,1,30,3,6,3,29,1,6,1,7,1,6,4,7,1,6,2,29,1,6,8,30,1,6,1,28,1,30,1,28,7,29,1,28,3,6,1,13,5,9,1,8,1,9,1,8,1,9,1,13,1,9,3,8,1,13,5,9,6,10,1,9,3,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,17,1,11,1,9,1,10,1,12,1,17,1,11,2,16,2,17,1,10,1,11,2,17,1,11,1,17,1,11,1,17,1,11,2,17,2,11,3,17,1,11,1,17,2,11,1,12,1,11,2,9,1,11,1,9,3,8,1,9,2,13,2,9,1,13,2,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,8,30,1,28,5,30,1,28,7,30,3,28,3,30,1,29,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,1,13,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,2,6,1,28,2,30,2,28,1,30,1,28,1,6,1,30,2,28,2,6,1,30,1,29,1,30,1,6,1,29,1,6,1,30,1,29,1,6,4,29,1,6,2,29,1,6,3,29,1,6,2,29,1,6,2,13,2,6,2,13,1,6,1,13,1,6,1,13,1,29,1,7,1,13,1,6,1,13,1,6,2,7,1,6,1,7,1,13,1,8,1,13,12,8,2,7,1,8,1,9,1,13,2,9,1,8,1,9,1,8,1,13,1,8,4,9,1,8,1,13,2,9,1,7,1,9,2,13,1,8,1,9,1,8,1,13,1,9,3,8,1,11,1,12,1,17,1,12,1,9,1,12,1,11,2,9,3,11,1,9,1,10,1,9,1,11,1,12,1,11,1,12,1,11,2,17,1,11,1,17,1,11,1,16,1,17,2,11,1,17,13,24,1,8,1,13,1,6,7,29,3,6,1,30,1,29,2,28,1,30,1,28,1,29,1,28,1,30,4,29,1,30,1,28,1,29,1,30,2,29,1,27,1,29,2,27,2,6,1,25,1,6,3,29,1,6,4,13,2,7,1,13,2,7,1,13,1,6,1,13,1,8,1,13,2,7,1,6,1,13,1,24,1,8,1,13,1,9,1,11,2,17,1,11,1,13,1,28,2,30,1,6,1,30,3,28,2,30,1,28,15,30,1,28,17,30,1,28,8,7,1,8,1,13,4,6,1,7,1,6,1,29,1,30,1,6,1,30,1,29,1,28,2,30,1,13,4,7,1,13,1,30,2,28,1,30,2,29,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,2,28,9,30,1,28,2,30,2,28,4,30,1,28,3,30,4,6,1,28,1,30,1,28,3,30,1,28,1,29,1,28,1,6,1,30,2,28,1,30,1,28,3,30,2,28,2,30,1,28,2,30,1,28,5,30,1,28,14,30,1,28,4,30,1,28,6,29,1,28,8,30,1,28,4,30,2,28,6,30,2,6,1,28,5,30,1,28,2,30,4,28,1,30,1,29,1,11,1,17,1,11,1,6,2,30,1,28,1,6,2,28,1,6,2,9,1,10,2,17,1,9,1,6,1,30,3,13,1,30,1,6,4,13,1,28,15,8,1,17,2,9,2,13,1,8,1,7,1,29,1,13,1,29,1,6,1,29,1,28,4,6,1,29,1,30,4,7,1,6,1,13,2,9,1,12,1,16,1,17,2,6,1,28,2,29,1,28,3,9,2,13,1,30,1,28,41,13,1,30,2,28,3,9,1,17,1,16,1,13,1,8,1,13,2,8,1,9,2,11,1,16,1,17,3,7,1,28,5,13,1,8,1,13,1,28,9,6,2,13,1,30,1,7,1,29,1,28,5,}, {13,1,17,4,16,1,11,2,10,1,13,1,7,1,6,1,29,1,28,4,9,1,10,1,28,41,30,1,28,1,30,2,29,1,30,1,29,1,30,1,28,1,30,2,6,1,13,1,10,1,12,1,6,1,29,1,7,1,28,1,30,1,6,1,9,1,8,1,7,1,6,1,13,1,24,1,9,1,24,1,10,1,17,2,11,1,17,4,11,2,16,1,6,3,29,1,13,1,8,1,9,1,7,1,29,1,13,4,17,5,16,3,9,4,11,1,17,3,8,1,30,1,6,1,13,1,8,1,6,1,8,1,9,1,11,1,28,35,30,1,13,3,9,2,17,1,13,3,30,1,6,2,29,1,17,6,16,1,17,1,16,1,9,1,11,1,9,2,8,3,13,1,8,1,6,1,8,2,13,2,7,1,11,1,9,2,17,3,16,1,17,1,13,1,28,14,13,1,6,1,30,1,28,1,13,2,8,1,6,1,7,1,29,1,6,1,13,1,6,1,30,4,28,1,13,1,30,2,6,2,30,3,6,1,30,1,29,1,30,2,6,1,30,2,28,2,29,1,30,1,6,1,30,2,6,1,30,6,6,1,28,11,30,1,28,1,30,1,29,2,30,1,6,1,30,1,6,1,30,4,29,1,30,5,28,1,30,1,28,1,6,2,30,1,6,1,28,1,30,3,6,1,28,1,30,1,29,1,30,1,6,1,30,1,28,1,30,4,28,1,30,1,28,1,29,1,30,1,6,2,28,2,29,1,30,1,6,1,30,2,29,1,30,1,6,1,30,4,28,1,30,2,6,1,30,2,28,2,29,1,28,1,30,3,28,8,30,3,28,1,30,2,28,2,30,2,6,1,30,2,13,2,8,1,6,3,13,4,8,1,28,3,29,1,28,1,29,1,28,1,30,1,29,1,28,2,30,1,29,1,28,1,30,1,28,1,30,1,28,3,30,6,28,1,30,4,6,1,30,3,6,1,29,1,30,2,28,1,30,9,6,2,29,1,28,2,13,1,17,1,12,1,9,1,29,1,30,1,28,1,30,1,29,1,30,2,29,1,30,1,13,1,7,2,26,1,8,1,25,1,8,1,24,2,9,1,17,2,9,3,24,1,9,1,13,1,9,2,13,1,8,1,13,1,9,1,10,2,9,2,13,1,9,1,13,1,9,1,13,1,7,1,13,1,7,1,30,3,6,3,13,1,6,1,13,4,8,2,13,6,7,1,13,3,6,1,13,1,6,1,29,1,6,1,13,1,6,2,13,1,6,1,13,1,30,1,7,1,6,1,13,2,7,1,6,4,7,1,6,1,7,3,6,3,13,1,6,1,13,4,8,1,13,1,8,1,9,1,10,1,11,2,9,1,24,1,8,1,13,1,9,1,8,1,9,2,10,1,9,5,17,1,9,1,7,1,30,2,28,1,30,3,28,2,30,1,28,4,30,1,28,3,30,2,28,5,29,1,28,3,30,1,28,2,30,1,6,1,30,1,29,1,6,1,27,2,26,1,29,1,25,1,26,1,25,1,26,1,25,1,27,1,25,1,26,1,25,1,8,2,24,4,25,1,24,3,25,2,24,2,25,4,24,3,8,1,24,2,8,1,24,6,25,1,24,1,25,1,27,3,29,5,25,2,26,1,29,1,27,2,29,1,27,1,26,1,27,1,26,2,27,4,8,2,24,4,25,5,24,1,25,1,24,3,25,2,27,1,26,1,6,2,28,1,29,1,6,1,29,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,29,1,30,1,6,1,28,1,30,4,28,1,6,1,28,2,30,3,28,1,30,1,28,1,30,1,6,1,28,5,30,1,6,1,7,1,6,1,10,1,13,2,30,1,6,3,30,4,28,1,30,3,6,3,30,1,7,1,6,2,29,1,6,2,30,2,6,1,29,1,30,1,6,1,30,1,29,1,30,2,7,1,13,1,29,1,30,3,29,1,30,2,28,1,30,1,28,1,6,1,30,2,29,1,30,1,6,1,29,1,30,2,28,1,30,4,29,1,30,5,6,2,30,1,29,1,30,2,29,1,13,1,29,1,30,1,6,1,30,1,6,1,29,3,30,2,29,1,13,1,6,1,13,2,6,2,28,1,30,1,29,1,30,3,29,1,30,3,28,2,6,2,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,2,30,4,29,1,6,5,29,1,6,3,29,1,6,2,13,1,6,2,13,1,6,2,13,1,29,1,6,2,7,1,6,2,13,1,6,2,13,1,29,1,13,1,6,1,13,2,30,1,29,1,30,1,6,2,30,1,7,1,30,1,6,2,29,2,28,3,29,1,30,4,29,1,6,1,29,1,30,2,29,1,6,2,30,1,29,1,30,1,28,1,30,10,29,1,6,3,30,1,29,2,30,1,28,1,30,1,28,1,30,1,6,1,28,1,7,1,28,1,30,1,6,1,28,2,30,1,6,1,13,2,30,1,13,2,28,1,30,1,6,2,30,1,28,2,30,1,6,1,28,2,30,2,13,3,30,1,6,1,30,1,28,37,13,1,28,67,30,1,28,12,30,2,28,10,30,1,28,17,29,1,28,2,6,2,30,1,28,4,30,5,28,1,29,1,30,2,29,1,6,1,30,1,6,1,30,2,28,1,30,1,28,2,30,8,28,6,30,1,6,1,28,1,30,1,28,3,30,1,28,3,6,2,28,7,30,1,28,2,6,1,30,1,6,1,30,1,6,2,29,1,30,1,6,2,30,1,6,5,28,1,30,1,6,1,30,1,28,2,30,1,28,5,30,1,28,1,30,2,29,1,30,1,6,1,30,1,13,1,6,2,29,1,6,2,30,2,28,32,30,1,28,5,30,1,28,1,6,1,28,16,30,2,28,15,13,2,28,7,6,1,30,2,6,1,30,1,28,1,30,1,28,1,6,1,30,2,28,10,30,1,28,1,30,1,28,10,6,1,28,5,30,1,28,1,6,2,30,5,6,1,30,2,6,1,30,1,29,1,6,3,29,1,30,1,13,3,30,1,6,1,13,2,9,1,8,2,13,5,9,1,13,2,8,1,13,1,9,3,6,1,13,1,8,2,9,1,8,1,11,1,9,1,11,1,16,2,11,1,9,2,10,1,9,3,11,1,8,1,9,1,6,1,13,1,6,1,13,2,30,1,6,1,13,1,9,1,6,3,13,1,7,1,6,1,30,2,6,2,13,1,29,1,28,3,30,1,13,1,6,1,28,5,30,1,6,1,28,1,30,2,6,3,13,1,30,1,6,1,28,1,29,1,6,1,13,1,29,1,13,2,30,1,13,1,6,2,29,1,30,1,6,3,29,1,6,2,29,1,6,1,30,2,6,2,30,1,29,1,13,1,6,3,28,1,30,1,6,1,30,2,6,4,30,3,28,1,30,1,28,3,29,1,13,1,29,1,30,2,29,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,29,1,30,2,29,1,30,1,28,1,6,1,13,1,6,1,30,1,28,1,30,1,29,2,28,1,30,1,28,1,6,1,29,1,13,2,30,2,6,1,30,3,28,2,29,1,28,1,30,2,28,1,30,1,28,1,29,1,6,1,29,1,30,1,29,1,6,1,28,2,6,1,30,1,6,2,29,1,28,1,6,5,30,1,6,1,29,1,7,1,6,3,29,1,6,1,29,1,6,5,7,1,30,1,28,3,30,1,6,1,8,1,28,3,30,1,28,3,6,1,7,1,13,2,8,1,13,2,9,6,13,1,8,1,13,3,8,1,9,1,8,3,10,1,9,4,11,1,9,1,10,1,11,1,9,1,12,1,9,1,10,1,8,1,9,2,12,2,17,1,11,1,9,1,11,2,17,1,11,1,16,1,11,2,17,1,11,1,17,1,11,3,12,3,10,1,11,1,17,2,11,6,10,1,12,1,11,1,10,1,9,1,11,2,9,1,11,1,10,1,11,1,9,3,8,1,9,1,13,1,9,1,13,1,28,2,30,2,28,3,30,1,28,2,30,1,28,2,30,2,28,3,30,1,28,5,30,1,28,1,30,3,28,1,30,3,28,1,30,3,28,3,30,2,28,4,30,4,7,1,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,6,30,2,28,5,30,1,28,1,30,3,28,1,30,2,6,1,30,1,29,2,6,4,30,1,6,1,29,1,30,4,29,1,6,1,7,1,6,5,29,1,7,1,6,3,29,1,30,1,29,1,6,2,7,1,6,1,13,1,6,2,13,1,7,1,13,4,6,2,7,1,13,1,8,1,13,3,6,1,8,1,13,9,8,3,13,3,8,2,13,1,8,1,10,2,8,1,9,1,8,1,9,1,8,3,9,2,10,1,17,1,12,1,9,2,8,1,10,1,9,1,10,1,9,2,10,1,9,4,8,1,9,2,17,1,9,2,10,1,12,1,17,1,12,1,11,1,12,1,16,1,17,3,16,1,17,4,16,1,17,5,12,1,9,1,8,1,30,3,6,7,29,8,30,1,28,1,29,1,28,1,30,1,29,2,30,1,29,4,25,1,6,2,29,1,6,2,29,1,30,1,6,1,30,1,28,1,13,1,6,2,13,1,8,1,13,1,7,1,13,3,7,3,6,1,7,2,13,2,8,3,13,1,10,1,17,1,11,1,16,1,13,1,28,2,6,1,30,1,29,1,30,3,28,2,30,1,28,3,30,1,28,1,30,1,28,25,30,1,28,1,30,2,28,1,6,1,28,4,30,1,9,1,8,1,13,2,6,5,29,1,30,2,29,1,30,1,28,1,7,1,13,1,7,1,13,2,30,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,4,28,2,30,1,28,3,6,1,28,3,30,1,28,2,30,2,28,1,30,1,28,8,30,1,28,3,30,1,28,6,30,1,28,3,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,4,6,1,30,2,28,5,30,1,28,17,30,1,28,13,30,1,28,8,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,14,30,1,28,2,30,2,6,1,7,1,13,1,7,1,13,1,6,1,7,1,13,2,9,1,10,1,12,1,17,1,11,1,6,1,30,1,29,1,30,2,29,1,30,1,6,1,30,1,13,1,6,1,13,1,28,15,6,1,17,3,12,1,13,2,6,1,30,1,13,1,30,2,28,4,29,1,28,2,6,1,28,2,6,1,13,1,6,1,7,1,9,3,12,1,17,2,28,7,9,2,13,1,6,1,28,41,13,1,6,1,28,4,16,1,17,1,16,1,9,1,8,4,9,1,8,1,11,1,16,2,17,1,16,1,30,1,28,5,6,1,11,1,13,1,28,10,6,1,7,1,6,2,30,1,28,5,}, {10,1,16,1,17,4,16,1,11,1,16,1,13,1,6,3,28,4,9,1,8,1,29,1,28,31,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,2,30,2,29,1,28,1,29,3,8,1,9,1,24,1,13,1,30,2,28,1,29,1,8,1,9,1,13,1,7,1,30,1,13,3,8,1,11,1,17,1,12,1,17,5,16,2,9,1,8,1,6,3,29,1,24,1,11,1,8,1,6,1,7,1,13,1,7,1,8,1,16,1,17,6,11,1,9,1,16,1,8,1,9,1,11,1,17,3,9,1,7,1,30,1,29,1,13,1,8,3,10,1,28,33,7,1,30,1,7,2,8,2,10,1,12,1,11,1,9,1,8,1,13,1,7,1,13,1,30,1,6,1,17,6,16,1,17,1,10,1,9,1,11,1,9,1,8,1,13,2,6,1,8,2,13,6,7,1,24,1,9,1,17,5,10,1,28,14,6,5,13,1,7,2,6,1,30,1,6,2,7,1,6,1,30,2,6,1,28,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,1,29,1,30,1,6,1,29,1,30,2,6,1,28,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,6,1,30,2,6,1,30,2,28,10,30,3,29,1,30,2,6,1,28,1,30,3,6,1,30,1,29,1,30,3,28,1,6,1,30,1,28,1,30,1,6,1,28,3,30,2,29,1,30,1,28,1,30,1,28,1,29,1,30,4,29,1,30,3,28,1,30,4,6,1,30,3,6,1,28,1,29,1,30,1,28,1,30,4,28,1,30,5,28,1,30,3,28,2,30,2,6,1,28,6,30,3,6,1,28,1,30,1,28,7,30,1,6,4,13,2,6,4,13,2,8,1,13,1,30,6,28,3,29,2,30,1,28,5,30,1,28,1,30,1,28,1,30,13,28,1,29,1,30,4,6,1,30,1,6,1,30,8,6,1,28,2,9,1,10,1,17,1,12,1,29,1,30,4,6,2,13,1,30,1,28,1,29,1,7,1,8,1,26,1,8,1,25,1,8,2,12,1,17,2,9,1,10,1,12,1,10,1,12,1,8,1,9,2,8,2,9,3,8,1,9,1,8,1,9,3,8,1,13,5,29,1,6,2,30,1,6,2,7,1,13,5,8,1,13,1,8,1,13,2,8,1,13,9,6,2,8,1,7,1,6,1,7,1,13,3,6,1,13,1,7,1,13,2,7,2,13,2,6,1,30,1,6,1,13,2,30,1,6,1,13,5,7,1,13,1,8,1,9,2,12,1,11,1,10,1,9,1,13,1,9,1,24,1,8,1,9,2,10,1,9,2,10,1,24,1,12,1,17,1,8,1,29,1,30,2,28,1,29,1,30,3,28,9,30,2,28,8,30,5,29,3,30,1,29,1,26,1,27,2,26,1,25,2,26,3,25,1,8,1,24,1,25,1,8,1,24,2,8,1,24,2,25,1,24,6,8,1,24,1,25,3,24,5,15,1,24,9,25,1,8,1,25,1,29,2,28,1,29,1,27,2,30,1,26,1,27,4,29,2,26,2,25,1,27,3,29,2,25,1,24,7,25,6,8,1,24,3,25,1,7,1,6,1,29,2,6,1,29,1,6,2,30,1,6,1,30,1,6,2,30,1,29,1,28,1,6,1,29,1,30,5,6,1,30,3,6,1,28,2,30,2,29,1,30,2,29,1,6,1,28,1,29,1,30,1,28,1,30,2,6,1,30,1,9,1,13,3,6,1,29,2,30,1,6,1,30,1,6,4,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,29,1,30,3,29,1,7,1,6,1,30,1,6,1,29,1,30,1,29,1,30,3,6,2,29,1,30,2,29,1,28,1,6,1,28,1,30,1,6,1,28,1,30,2,28,1,30,3,6,1,29,1,30,1,29,1,6,2,29,1,6,4,13,1,6,1,13,1,6,2,30,1,6,1,30,1,13,1,6,1,13,1,6,1,29,1,6,1,8,1,30,1,6,2,28,1,30,3,28,1,29,1,28,1,30,1,6,1,29,1,30,1,29,2,30,1,6,2,30,1,29,1,28,1,6,1,30,1,6,1,28,1,6,1,30,2,29,1,30,12,7,1,30,1,6,1,29,1,6,4,13,1,6,1,13,3,6,6,13,1,6,1,13,1,6,3,29,1,30,1,29,1,30,1,6,1,30,2,6,1,30,1,29,2,30,3,28,1,30,1,28,4,30,1,6,2,28,1,30,1,6,1,30,1,29,1,30,1,29,1,30,2,6,4,13,1,6,1,13,1,8,1,13,2,8,1,13,2,30,2,28,2,6,1,30,1,28,3,6,1,13,3,8,1,30,1,28,1,6,1,13,1,30,1,28,2,30,1,28,41,30,1,28,1,30,3,28,4,30,1,28,1,30,2,29,1,30,3,6,1,30,2,9,1,8,1,13,2,30,1,28,9,30,2,28,19,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,1,13,1,8,1,7,1,30,3,28,1,30,2,29,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,13,6,1,29,1,28,9,30,3,13,1,29,1,30,1,6,1,13,2,6,2,29,1,6,1,13,1,8,2,7,1,6,1,13,3,6,2,7,1,29,1,7,1,30,1,7,1,6,4,30,1,29,2,30,4,6,1,30,1,29,1,30,2,29,1,6,1,30,1,6,1,30,1,13,1,6,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,13,1,16,1,28,5,13,1,6,1,30,1,6,2,7,1,28,1,7,1,13,2,29,1,30,1,29,1,28,1,30,1,28,1,6,1,28,1,30,2,6,1,30,1,6,1,30,3,28,1,30,7,6,1,30,1,6,2,30,1,6,3,30,1,29,1,28,1,6,1,13,1,30,6,28,1,30,1,28,6,30,2,28,9,30,1,28,1,30,1,28,1,29,1,6,1,30,1,28,1,30,2,13,1,6,1,30,3,6,4,13,1,30,1,13,1,6,1,30,4,6,2,7,1,6,1,7,1,13,1,6,5,30,2,6,1,30,1,28,1,6,1,30,2,6,2,28,1,30,2,9,1,6,1,28,1,30,3,28,4,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,2,28,34,30,1,28,2,30,1,28,8,30,2,29,1,30,3,29,1,28,1,30,1,28,1,30,1,28,2,6,1,30,2,6,3,30,3,28,13,30,3,6,1,30,1,28,1,30,1,6,1,30,1,6,1,13,3,9,2,13,1,6,1,9,1,13,2,29,1,13,1,8,1,11,1,16,1,11,1,9,2,16,1,11,1,8,1,11,1,17,7,9,2,11,2,13,1,6,2,13,4,6,1,30,1,6,1,13,1,29,1,13,2,7,1,13,1,6,1,13,1,6,1,30,2,6,1,29,1,6,2,29,1,30,1,6,1,30,3,6,1,30,1,6,1,28,1,29,1,28,1,30,1,28,1,29,1,6,1,30,1,28,1,29,1,30,2,6,1,30,1,6,3,30,5,6,1,28,4,6,1,28,1,30,4,6,1,28,1,29,1,30,3,28,1,30,1,29,1,28,1,30,1,29,1,28,1,30,1,13,2,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,7,1,13,1,29,1,6,1,29,1,6,1,30,2,29,1,30,1,29,1,28,1,30,1,28,1,30,2,28,2,30,1,6,1,30,2,29,1,6,1,28,1,30,1,6,1,30,1,29,1,30,1,6,5,13,1,29,1,6,2,29,1,6,2,30,1,6,1,29,1,28,1,6,3,28,1,30,2,29,1,6,1,30,1,28,1,30,2,29,1,6,1,28,8,7,1,13,2,9,1,13,1,8,1,9,5,13,2,8,2,13,3,9,2,8,1,10,1,9,1,10,1,9,1,11,1,10,2,9,1,10,1,9,1,11,1,9,3,11,1,17,1,11,3,9,3,11,3,17,1,16,1,17,1,16,1,11,4,10,1,11,2,17,1,11,4,17,1,11,1,17,1,11,2,12,1,9,1,11,1,9,1,11,2,10,2,11,2,10,1,11,2,9,3,8,1,13,1,9,2,13,1,6,1,30,4,28,4,30,1,28,2,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,3,6,1,30,1,28,1,30,4,28,1,30,2,28,1,30,1,6,1,28,1,30,1,6,1,30,1,28,8,30,2,28,1,30,1,28,4,30,2,28,2,30,2,28,4,6,1,30,1,6,1,28,1,29,1,6,1,29,1,6,1,30,1,29,1,28,1,6,1,29,1,6,1,28,1,29,1,6,2,30,1,29,1,28,1,30,1,7,2,30,1,29,2,6,1,7,1,6,1,30,2,6,1,30,1,6,2,13,1,7,1,6,1,13,1,6,2,7,2,13,2,29,1,6,3,13,1,29,1,9,1,6,2,7,3,13,7,8,1,7,1,13,1,8,1,13,4,8,1,13,1,8,1,13,2,9,1,13,2,9,1,8,3,9,1,13,1,9,4,11,1,10,1,9,4,8,1,9,1,8,2,9,2,13,1,8,1,9,4,13,1,9,2,10,1,9,2,11,1,12,2,17,18,10,1,13,1,7,1,6,2,30,1,6,2,13,1,7,1,6,3,7,1,6,5,27,2,6,1,29,2,6,1,7,1,6,4,30,1,29,6,30,1,6,1,7,1,13,1,6,1,7,2,8,1,13,1,8,1,11,1,9,1,13,1,6,3,7,4,13,1,8,1,13,1,9,1,8,1,7,1,10,1,17,2,10,1,6,1,28,2,6,1,30,5,28,5,30,1,28,11,30,1,28,3,29,1,28,9,6,1,28,1,30,2,28,6,29,1,30,1,28,1,30,1,8,1,13,3,7,1,29,1,30,1,6,1,29,1,6,1,30,1,29,1,30,2,13,2,6,1,13,2,6,2,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,4,30,2,28,3,30,1,28,1,30,1,28,10,30,1,28,6,30,2,28,5,30,1,28,1,30,1,28,3,29,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,39,30,1,28,4,6,1,28,3,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,7,1,9,1,8,1,11,1,17,5,8,1,30,3,28,3,30,1,6,1,30,2,6,1,30,1,28,16,13,1,17,1,11,1,13,1,9,1,8,1,13,1,6,1,29,1,6,3,28,2,30,1,28,3,30,1,28,1,30,1,28,2,13,1,6,1,9,1,13,1,8,1,10,1,16,1,17,1,11,1,28,2,30,1,28,4,13,1,8,1,13,1,30,1,28,41,13,1,6,1,13,1,30,1,28,1,30,1,16,1,17,2,9,1,7,1,13,1,8,1,9,2,13,1,17,1,9,1,17,3,28,6,7,1,8,2,28,9,29,2,13,1,30,1,7,1,29,1,28,5,}, {13,1,17,7,10,1,13,1,6,1,7,1,30,1,28,3,29,1,13,2,28,32,30,1,28,8,29,1,28,1,30,3,29,2,28,1,30,2,6,1,7,1,13,1,10,1,17,1,16,1,6,1,30,2,28,1,13,1,8,1,11,1,13,1,7,1,13,1,7,1,8,1,9,1,11,1,17,1,16,1,17,5,16,2,8,2,30,1,6,1,29,1,6,1,24,1,10,1,24,1,13,1,24,1,13,1,7,1,13,1,11,1,17,4,16,3,9,3,13,1,11,1,17,3,9,1,28,1,6,2,8,1,7,1,13,2,9,1,6,1,28,33,30,1,6,2,9,1,8,1,9,1,12,1,11,1,10,1,8,1,13,1,6,3,7,1,9,1,17,6,11,1,9,1,11,1,9,1,8,1,11,1,13,2,29,1,6,1,13,2,28,1,9,1,8,1,7,1,9,1,8,2,12,1,11,1,17,2,12,1,17,1,16,1,28,14,30,1,6,2,30,1,6,2,29,1,7,2,30,1,6,1,29,1,6,1,30,1,6,1,29,2,30,1,6,2,30,1,6,2,30,7,29,1,30,1,6,1,30,1,6,1,30,6,6,1,30,2,6,1,30,1,6,1,28,9,30,2,28,2,30,2,6,1,29,1,30,1,29,2,6,1,30,5,29,1,30,1,6,2,30,2,28,1,30,4,6,1,30,2,6,1,29,1,30,2,29,1,30,1,6,2,29,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,28,1,30,2,28,1,6,1,30,2,6,1,29,1,30,2,28,1,29,1,30,2,28,1,30,3,6,1,28,1,30,4,6,1,30,3,28,2,30,5,28,1,30,2,28,1,30,1,29,1,30,1,29,1,28,1,30,1,28,2,30,2,29,1,30,1,6,2,13,1,7,1,13,1,7,1,29,1,30,1,13,1,6,1,13,1,7,1,13,1,30,3,28,1,30,5,28,2,30,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,3,30,4,29,2,6,1,30,1,6,1,28,2,30,1,29,1,30,1,29,1,6,1,29,1,6,1,30,1,29,1,28,2,13,1,24,2,10,1,13,1,29,1,28,3,6,4,28,1,30,1,6,1,13,1,25,1,24,1,8,1,25,1,8,1,12,3,10,2,9,1,17,1,12,1,9,1,10,1,9,1,13,2,9,1,8,1,9,2,10,1,13,1,8,1,9,2,8,1,9,1,8,1,13,1,7,1,6,3,29,1,13,1,6,3,13,1,6,1,8,1,9,1,7,1,9,1,13,1,8,1,9,1,6,1,13,2,8,1,13,3,6,2,13,2,7,1,6,1,13,2,7,1,13,1,6,2,13,2,6,1,7,1,6,1,7,1,13,1,29,1,13,1,6,1,13,2,6,2,13,1,7,1,13,1,7,1,13,1,7,1,13,3,8,1,9,1,24,1,11,1,17,1,11,1,8,1,24,1,13,1,9,2,10,2,9,3,11,1,9,1,12,1,10,1,8,1,30,1,28,4,30,4,28,3,30,1,28,4,30,1,28,6,30,1,28,4,29,1,28,1,29,1,30,3,28,1,29,1,27,2,26,1,25,2,26,1,25,1,26,1,25,3,24,2,8,1,24,3,25,1,8,1,24,1,25,1,24,6,25,3,24,1,15,1,24,9,15,1,24,3,25,1,24,1,25,1,27,2,29,1,28,1,29,1,28,2,30,1,6,1,26,1,27,2,29,1,27,2,26,1,27,1,26,1,27,1,29,3,25,2,24,3,15,1,24,1,25,3,8,1,24,1,25,1,8,1,24,3,8,1,27,1,26,1,6,2,30,1,29,1,6,1,29,2,7,2,6,1,28,1,6,2,30,1,29,1,6,1,28,1,6,1,30,1,6,1,29,1,30,1,6,1,29,1,30,1,28,1,30,1,6,1,30,1,6,2,30,1,28,1,30,1,6,1,30,2,29,1,30,1,6,6,30,1,13,4,6,2,30,1,6,2,30,1,6,1,30,2,6,3,30,1,6,4,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,29,2,30,1,6,2,16,1,6,1,30,1,29,1,30,1,6,1,29,1,28,1,29,2,30,1,29,1,30,1,29,1,6,1,30,1,29,1,6,1,30,3,6,3,30,1,6,1,30,1,29,3,6,1,29,1,30,1,13,1,29,1,7,1,29,1,30,1,6,2,29,1,30,1,13,1,6,2,13,1,30,1,13,1,6,2,29,1,8,1,6,2,30,2,6,2,29,1,30,14,29,1,13,1,6,1,30,1,29,1,30,4,29,1,6,1,30,1,6,1,30,2,6,1,29,1,30,1,6,2,29,1,6,4,29,1,6,3,30,1,28,1,30,1,28,1,30,2,13,1,6,1,30,1,7,2,6,1,28,1,6,1,30,1,6,1,30,1,29,1,13,1,29,1,6,1,13,1,6,1,13,1,30,2,6,3,13,1,6,2,13,1,9,1,8,1,9,2,13,3,6,1,29,1,6,1,13,4,6,1,13,1,30,1,13,1,6,2,13,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,28,31,30,1,28,7,30,1,28,3,30,1,28,5,30,2,6,2,30,11,6,4,29,1,30,1,13,1,6,1,30,2,7,2,6,2,30,5,6,1,13,1,6,1,28,1,30,1,6,1,30,1,28,4,29,1,28,3,30,1,28,2,30,2,28,3,30,1,28,7,30,1,28,1,30,2,29,2,6,5,7,1,28,2,6,1,30,1,28,1,30,1,6,2,30,1,6,1,28,1,6,1,30,2,6,1,29,1,28,1,29,1,30,1,6,1,30,2,28,1,29,1,6,2,29,3,7,1,29,1,6,1,30,1,29,1,6,1,7,4,13,1,7,1,6,1,30,1,6,2,30,3,29,1,8,1,6,1,30,1,28,1,30,3,28,1,6,3,13,3,6,1,29,1,13,5,6,1,29,1,6,1,30,1,28,1,6,1,7,1,6,1,13,1,6,1,7,2,6,3,30,1,7,1,30,2,13,3,29,1,30,1,28,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,2,29,1,30,1,28,1,8,1,13,1,28,1,30,2,28,1,29,1,30,3,28,2,29,1,9,1,28,2,30,1,28,1,6,1,7,1,6,1,13,1,30,3,28,1,30,1,29,1,6,1,29,1,30,1,6,1,30,3,29,1,6,1,30,4,6,1,28,3,6,1,29,2,30,1,28,2,30,4,29,1,28,2,30,2,28,1,30,1,28,2,6,2,28,1,30,1,28,2,30,2,28,2,30,1,6,1,28,1,30,1,29,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,2,28,1,30,1,6,2,29,1,30,1,28,1,29,1,13,1,30,2,6,1,30,3,6,1,28,1,6,2,30,1,29,1,30,1,6,2,30,1,28,1,6,3,7,1,28,1,30,1,29,1,30,1,6,2,29,1,6,1,30,4,28,2,6,1,28,1,6,1,30,1,6,1,9,1,7,1,30,3,29,2,6,1,30,2,29,1,28,1,6,1,30,4,6,2,29,1,30,7,28,1,30,1,28,1,30,2,29,1,6,1,28,14,30,1,28,1,30,1,28,2,6,1,28,1,30,2,28,2,30,1,28,2,30,2,28,1,30,1,29,1,6,1,29,1,30,1,29,1,30,3,6,2,30,2,28,1,30,1,28,2,30,2,28,37,30,1,28,6,30,1,28,11,29,1,13,1,7,1,9,1,13,1,6,1,30,3,6,1,30,1,6,1,13,3,16,2,9,1,8,1,9,1,8,1,9,2,8,1,6,1,8,1,9,1,13,2,7,1,9,4,6,1,7,1,6,3,7,1,6,2,7,1,9,1,13,1,30,5,6,1,30,1,6,2,30,2,28,3,30,1,28,3,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,4,29,2,30,1,28,1,30,2,28,2,13,1,9,1,30,1,29,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,29,1,6,1,7,1,6,1,30,2,6,1,28,1,30,1,28,2,30,2,28,1,6,1,28,1,30,2,29,1,30,2,29,1,30,3,29,1,30,1,6,6,7,1,13,2,6,6,29,1,30,5,29,2,30,1,29,1,30,1,13,1,9,1,29,1,28,3,30,1,28,1,30,1,28,7,30,1,7,1,9,1,8,2,9,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,13,3,9,1,13,1,8,1,13,1,8,1,9,1,11,1,9,1,11,1,9,3,8,1,11,1,9,1,11,1,10,1,17,2,9,2,11,1,10,2,11,1,9,3,16,1,11,4,9,4,11,1,10,2,9,1,11,1,17,1,11,2,17,1,11,1,12,1,11,1,12,1,11,2,9,1,8,1,11,1,9,1,10,2,9,1,11,2,10,1,9,2,11,1,9,2,8,1,10,2,13,1,6,3,30,2,28,3,30,1,28,1,30,4,28,8,30,2,28,2,30,1,28,1,30,1,6,1,28,1,30,4,28,1,30,1,29,1,30,4,28,1,30,1,6,1,28,1,6,1,13,1,30,2,28,6,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,4,30,1,28,6,29,1,28,1,30,1,28,1,30,1,6,1,29,2,28,1,30,2,29,1,30,3,28,1,30,1,9,1,13,1,29,1,6,4,30,1,6,1,30,1,6,3,30,1,6,1,7,1,6,2,30,2,7,2,6,4,13,1,6,2,13,3,7,1,13,2,6,1,13,3,7,1,13,5,7,1,13,6,6,1,13,1,8,3,13,2,24,1,8,3,13,2,9,1,13,2,10,1,8,1,10,1,9,3,8,2,13,1,8,1,13,1,9,1,8,1,13,1,9,1,8,1,9,4,8,1,9,1,8,1,9,1,10,1,9,1,10,3,11,1,9,1,17,1,11,1,17,5,16,1,17,2,16,1,17,9,12,1,24,1,13,1,8,1,13,1,6,1,30,1,6,2,30,1,8,1,6,1,24,1,6,2,29,2,6,1,29,1,6,1,29,1,30,1,28,2,30,1,29,1,6,1,7,1,6,2,7,1,30,1,13,1,7,1,13,1,6,1,13,3,8,3,13,2,30,1,6,1,29,1,7,1,29,1,6,3,7,1,6,1,13,1,24,1,13,3,9,1,17,2,16,1,13,1,28,1,30,8,28,5,30,1,28,8,30,2,28,1,30,1,28,1,30,2,28,7,30,1,28,1,30,1,29,1,6,1,28,8,30,1,28,1,6,1,8,1,13,1,8,1,13,2,6,2,28,1,30,1,28,1,6,1,30,2,6,1,13,3,7,2,29,1,6,1,28,1,29,1,28,5,30,1,28,3,30,2,28,1,30,1,28,5,30,1,28,8,30,1,28,10,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,7,30,2,28,1,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,10,30,1,28,10,30,1,28,3,30,1,28,11,30,1,28,7,30,4,28,1,30,3,28,13,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,1,6,1,29,1,6,3,30,2,6,1,30,2,28,1,30,1,28,1,30,1,6,2,29,1,7,1,6,2,28,16,13,1,17,1,11,1,9,1,13,3,6,3,7,1,28,1,6,1,28,1,30,1,28,8,6,2,13,1,9,1,8,1,9,1,11,1,17,1,11,1,28,7,10,1,8,1,13,1,6,1,28,41,13,1,7,1,6,1,30,1,28,2,17,3,9,2,8,1,9,1,8,1,7,1,10,1,9,1,10,1,17,2,16,1,28,6,6,1,8,1,6,1,28,9,29,1,30,1,6,3,29,1,28,5,}, {9,1,11,1,17,4,16,1,17,1,8,1,9,1,6,3,28,4,24,1,16,1,28,40,30,2,28,1,6,1,28,1,30,1,6,1,30,1,6,2,29,1,6,1,13,2,16,2,24,1,6,1,29,1,28,1,30,1,13,1,10,2,13,3,7,1,9,1,13,1,10,1,17,5,16,1,17,2,11,1,9,1,8,1,13,2,6,2,13,1,16,1,24,1,6,4,7,1,16,1,17,3,16,1,17,1,11,1,10,2,8,1,13,1,11,1,9,1,17,3,9,1,13,2,8,1,13,1,8,2,9,1,15,1,9,1,28,33,30,3,24,1,8,1,13,1,9,1,11,1,9,1,8,1,7,2,30,1,6,2,9,1,17,5,16,2,11,1,9,1,10,1,9,1,8,1,9,1,13,1,6,1,13,3,6,1,13,2,8,4,9,1,10,1,16,1,9,1,17,2,16,1,28,14,7,1,13,2,6,1,13,1,30,1,29,1,6,1,29,1,6,8,30,1,29,1,6,4,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,2,30,2,28,1,29,2,30,1,28,1,30,3,6,2,29,1,28,10,30,2,6,4,30,1,6,1,30,2,6,1,30,4,28,1,30,1,29,1,30,3,13,1,28,1,6,1,29,2,30,3,6,1,30,1,29,1,30,2,6,1,30,6,6,1,30,1,6,1,30,2,28,1,30,1,6,1,30,2,6,2,30,1,29,2,30,1,28,1,6,1,30,3,29,1,28,1,30,6,28,1,29,1,28,1,30,4,6,2,29,1,30,3,29,1,30,2,29,1,30,3,28,1,30,1,6,1,30,2,6,1,28,2,30,1,6,6,7,2,30,1,6,1,13,3,8,1,30,2,28,1,30,3,6,1,30,5,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,3,28,2,30,1,28,1,30,7,28,1,30,2,29,1,28,2,30,2,28,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,28,2,8,1,9,1,8,1,10,1,25,1,29,1,30,2,29,1,6,2,7,1,6,1,30,2,29,1,6,1,25,2,8,2,25,1,8,2,24,3,7,1,8,1,24,1,17,1,12,1,13,1,8,1,9,1,8,1,13,1,9,2,8,2,9,1,8,1,13,1,9,1,13,1,8,1,6,2,13,1,7,1,29,1,30,1,7,1,6,2,29,1,7,1,13,2,7,1,13,1,8,1,13,1,8,1,13,1,9,1,13,2,24,1,13,1,6,1,13,2,8,1,7,1,13,1,7,1,8,1,7,1,13,2,30,1,13,6,7,1,29,1,6,1,13,4,8,1,13,1,6,2,29,1,7,2,13,2,8,1,13,1,8,1,9,2,12,3,8,1,10,1,8,1,10,2,9,1,10,1,11,1,9,1,12,1,10,1,9,1,11,1,9,1,29,1,28,2,30,2,28,1,30,2,28,3,30,1,28,6,30,2,28,7,30,2,28,1,30,1,29,1,30,3,29,2,26,2,27,1,25,10,24,4,25,1,24,3,25,1,24,1,25,1,24,5,25,1,24,2,15,1,24,16,29,3,13,1,8,1,17,3,13,1,28,1,29,1,27,1,29,1,27,1,29,1,27,4,29,2,27,1,29,1,25,1,24,5,25,2,24,1,25,1,24,3,25,1,24,1,25,1,26,2,6,3,28,1,30,2,6,4,30,1,29,2,6,2,29,1,6,1,30,1,6,1,30,2,28,1,29,1,30,4,28,1,6,1,30,3,6,1,30,1,6,1,29,2,30,5,28,2,29,1,6,3,29,1,13,5,6,7,30,1,29,1,6,3,29,1,6,3,29,1,6,2,29,1,6,4,29,1,6,2,30,1,6,2,13,1,6,1,9,1,6,4,30,1,6,2,30,2,6,1,28,1,29,1,6,1,30,1,7,1,29,1,30,1,6,2,30,1,6,1,29,2,6,9,7,1,30,2,6,2,29,2,6,1,30,1,6,2,30,1,6,3,13,1,7,1,6,1,13,2,8,1,6,2,29,1,30,1,28,1,6,1,30,3,29,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,28,1,29,1,30,4,6,1,28,1,29,1,30,1,6,1,30,1,28,2,30,2,28,4,30,2,28,1,30,2,29,1,13,3,9,2,10,1,8,1,9,1,13,1,9,1,17,1,8,2,30,1,6,1,9,1,17,1,13,1,8,1,16,1,7,1,13,5,30,1,28,1,6,1,28,1,30,2,6,4,28,1,30,2,28,3,30,1,28,31,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,2,28,1,30,1,6,1,28,1,30,2,28,1,30,2,28,1,6,2,30,1,28,1,30,4,29,1,30,3,29,1,7,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,3,28,2,6,2,28,1,30,1,29,2,6,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,2,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,13,30,1,29,2,30,3,29,1,28,1,30,3,28,1,30,1,28,1,30,1,6,1,13,1,6,2,28,1,6,1,29,1,6,2,30,1,6,1,30,1,6,2,30,1,6,4,29,2,28,1,29,1,6,1,30,1,6,4,30,1,13,2,30,1,6,3,7,1,6,2,13,1,7,1,6,3,13,2,7,1,6,2,7,1,29,1,30,1,13,1,6,1,30,1,6,1,7,2,6,3,7,1,13,1,6,1,13,1,30,1,6,1,29,1,6,1,13,1,6,1,7,1,6,5,30,1,6,6,30,1,6,4,30,1,28,1,6,1,30,2,28,2,30,3,28,2,30,2,13,1,6,1,28,1,30,2,28,1,30,2,28,1,30,2,28,2,6,1,13,1,30,6,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,3,28,4,29,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,4,29,1,28,5,30,1,28,1,30,6,28,2,30,2,29,1,30,1,28,5,6,1,28,1,30,2,28,3,30,2,28,1,30,2,6,1,30,1,28,1,6,1,29,1,6,1,13,1,6,6,7,1,30,1,28,2,30,1,6,1,28,2,30,2,28,1,29,1,30,1,29,1,6,1,30,4,6,1,30,1,6,2,30,3,28,2,30,1,28,1,6,1,28,1,30,1,28,1,9,2,30,3,6,1,30,4,29,1,30,9,6,1,29,1,6,1,30,1,6,1,30,1,6,3,30,1,29,1,30,1,28,9,30,1,28,1,30,1,28,4,30,3,7,2,6,1,30,3,6,1,30,1,28,1,29,1,30,1,6,2,30,1,29,1,30,2,6,2,30,1,29,1,6,1,30,1,28,1,29,1,28,2,30,2,28,1,30,1,28,6,30,1,28,40,30,1,28,5,30,1,28,16,30,1,28,1,29,1,28,8,29,1,28,1,6,2,28,2,30,1,28,2,30,2,29,1,28,2,29,1,30,1,28,1,30,3,6,1,13,2,28,1,6,1,30,1,6,1,13,1,9,3,13,1,6,1,13,1,6,1,30,1,13,2,6,1,13,1,6,1,13,2,9,1,6,1,30,2,6,1,30,1,6,1,28,1,30,1,28,1,29,1,30,1,6,1,13,1,29,2,6,1,28,3,13,1,11,1,28,2,30,1,28,2,30,1,6,1,28,1,30,1,28,1,6,2,30,1,29,1,6,1,30,1,29,1,28,1,29,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,6,1,30,2,29,2,30,1,6,3,29,1,6,2,13,1,6,4,30,2,7,2,6,1,30,1,6,1,30,3,28,1,30,2,6,4,9,1,28,2,30,1,28,1,30,2,29,1,28,8,29,1,6,1,7,1,9,3,8,1,9,1,13,1,9,2,13,1,9,2,8,1,9,1,13,1,8,1,13,1,8,1,9,1,8,1,9,3,8,1,9,2,11,1,8,1,9,2,17,2,9,1,10,1,9,2,11,1,9,3,11,1,9,2,10,1,9,2,11,1,17,1,9,3,10,1,8,1,9,1,11,2,9,1,11,1,9,1,11,7,10,1,12,1,11,1,12,1,11,2,10,1,17,1,11,1,10,1,11,1,17,1,10,1,9,1,10,1,11,1,9,5,8,1,13,1,8,1,6,2,30,2,28,1,6,1,29,1,28,4,30,1,28,2,30,1,28,5,30,3,6,2,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,28,2,30,2,29,1,28,10,30,1,28,3,30,3,28,3,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,7,1,30,1,8,1,9,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,29,1,13,1,7,1,30,2,6,1,30,2,13,1,6,3,13,1,6,3,30,1,6,1,28,1,29,1,13,1,7,1,29,2,6,1,13,1,7,1,6,1,7,1,6,1,7,1,13,1,7,1,13,2,6,1,7,1,13,5,8,3,6,1,13,4,8,1,13,3,8,1,9,1,13,3,8,1,13,1,8,1,9,1,12,1,8,1,9,1,13,1,8,1,13,3,6,1,8,3,13,2,8,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,9,2,10,4,12,1,16,1,11,1,17,4,12,1,17,5,11,1,17,2,11,1,17,11,12,1,10,1,9,1,10,1,17,1,11,1,13,2,10,1,8,1,13,1,6,4,7,1,13,1,6,1,13,2,7,2,6,1,13,4,8,1,7,1,13,3,8,1,7,1,6,2,30,1,6,4,13,1,6,2,13,1,7,1,13,3,8,2,11,1,17,2,16,1,7,1,28,1,6,2,30,1,29,1,30,4,28,10,30,1,28,3,30,1,28,4,30,4,28,6,30,1,28,5,30,1,28,7,6,1,9,1,13,3,6,1,30,1,6,1,13,1,30,2,29,1,30,1,13,2,9,1,13,1,8,1,29,2,6,1,28,3,30,2,28,4,30,1,28,5,30,2,6,1,28,1,30,1,28,1,30,1,28,13,30,1,28,2,30,1,28,8,30,2,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,11,30,1,28,1,30,1,28,8,30,1,28,14,30,1,28,1,30,1,28,13,30,2,28,1,30,1,28,2,30,1,28,4,30,2,28,7,30,1,28,7,30,1,28,6,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,6,1,13,2,6,1,28,16,13,1,17,2,11,1,7,2,13,1,29,1,13,1,6,1,29,1,30,2,28,4,30,1,28,2,30,2,29,1,30,1,29,1,13,1,9,3,17,2,11,1,30,2,28,4,30,1,8,1,13,1,7,1,6,1,28,41,13,2,30,1,28,3,17,3,10,1,9,1,8,1,9,1,8,1,9,1,13,1,16,1,11,1,17,3,28,6,13,2,29,1,28,9,6,1,29,1,13,2,28,1,6,1,30,1,28,4,}, {13,1,11,1,17,6,10,1,8,1,13,1,6,1,29,1,28,4,7,1,13,1,30,2,28,33,30,1,28,2,6,1,29,1,6,1,13,1,28,2,6,1,30,1,6,1,29,1,30,1,6,1,29,1,13,2,8,1,11,1,17,1,9,1,30,1,6,1,29,1,30,1,7,1,11,1,9,1,13,1,6,1,13,1,6,1,8,1,13,1,12,1,17,9,9,1,13,1,6,1,13,1,6,1,30,1,8,1,12,1,8,1,13,2,8,1,6,1,13,1,10,1,17,4,16,1,11,2,9,1,10,1,11,1,9,1,11,1,17,3,9,1,6,2,29,1,8,1,13,1,8,2,9,1,13,1,28,35,6,1,8,2,10,1,9,1,16,1,10,1,13,2,6,1,7,1,13,2,9,1,17,6,11,1,16,1,11,1,8,2,9,2,7,1,13,1,24,1,6,1,29,1,6,1,8,2,9,1,24,1,9,2,10,1,12,1,11,1,12,1,17,2,10,1,6,1,28,13,7,1,13,1,6,1,13,1,30,3,29,2,13,1,28,1,13,1,6,2,30,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,29,1,30,3,6,2,30,3,28,3,30,1,6,1,30,2,29,1,30,1,28,8,30,1,28,1,30,2,6,1,30,2,28,1,6,1,28,1,6,3,30,1,6,2,29,1,30,1,6,1,30,1,6,1,30,4,28,1,30,6,28,1,30,1,28,1,30,6,29,1,30,2,13,1,30,1,29,1,6,2,13,1,6,6,13,1,30,1,6,1,29,1,6,1,30,1,29,1,30,2,29,2,30,2,6,1,30,5,6,1,28,1,6,2,30,1,29,1,30,1,6,1,29,1,6,1,30,7,6,1,30,2,28,2,30,3,6,1,30,1,28,1,6,2,13,2,7,1,6,1,30,1,13,1,30,1,6,1,13,2,8,1,30,6,28,1,6,1,30,1,29,1,30,1,6,1,30,2,28,1,30,2,6,1,30,6,6,1,30,3,28,1,30,1,28,1,30,1,28,3,6,1,30,1,6,1,30,6,6,1,30,1,6,1,30,5,28,2,6,1,12,1,24,2,26,1,29,2,28,1,6,2,13,1,8,1,6,2,28,2,30,1,6,2,26,1,27,2,25,1,24,2,10,1,24,2,6,2,12,3,8,2,13,1,8,2,13,1,9,2,24,1,9,1,8,5,13,1,6,2,7,1,30,1,7,1,6,1,13,1,30,1,7,2,6,2,7,1,13,2,9,1,13,1,8,3,13,8,6,1,13,2,6,1,13,3,7,1,13,2,6,1,7,1,13,4,6,1,7,3,13,9,8,1,10,1,12,1,10,1,12,1,17,1,10,1,9,1,8,1,11,1,8,1,11,1,24,1,10,1,11,1,8,1,9,1,10,1,9,1,8,1,30,2,28,1,30,1,29,1,28,1,30,2,28,1,30,2,28,15,30,1,28,1,30,2,29,3,6,1,29,1,27,3,26,1,25,1,8,1,25,1,26,1,25,1,24,1,25,1,24,1,25,1,24,10,8,1,24,6,25,3,24,8,12,1,15,1,12,1,24,1,15,1,24,3,25,1,24,1,25,2,27,2,6,1,7,1,17,4,30,2,28,1,30,1,29,1,26,1,25,1,26,1,27,2,30,1,29,1,27,1,25,1,8,1,24,3,25,1,26,1,25,1,24,1,8,1,25,1,24,1,25,2,8,1,25,1,27,1,6,1,29,1,6,2,30,1,6,1,29,2,30,1,28,1,30,2,29,1,30,1,29,1,30,1,6,2,29,1,30,2,28,1,6,1,29,1,30,5,29,1,30,1,6,1,30,6,29,1,30,3,28,1,30,1,6,1,30,1,6,4,13,1,6,1,7,1,13,1,6,1,9,1,13,1,30,1,13,1,6,4,7,1,6,1,7,1,13,1,6,1,7,1,6,4,29,1,6,4,30,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,13,1,29,1,9,1,6,1,29,1,7,1,6,2,30,1,6,4,7,1,29,1,6,5,29,1,6,4,28,1,6,2,29,1,13,1,6,2,30,1,6,3,7,1,6,1,30,1,6,1,30,1,6,2,29,1,30,1,6,2,28,1,30,1,6,3,30,1,13,1,8,1,9,1,13,3,6,2,30,2,28,2,30,2,28,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,2,6,3,13,2,6,2,13,2,6,2,7,1,13,1,11,1,13,1,6,1,13,2,6,1,13,2,7,1,13,1,6,1,13,4,28,1,6,1,8,1,29,1,13,3,30,1,28,1,6,2,28,13,30,1,28,26,30,1,28,8,30,1,6,1,29,1,6,1,13,1,6,1,7,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,30,2,29,1,30,2,6,1,28,1,30,5,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,29,1,30,2,29,1,30,1,28,1,6,1,7,1,30,1,28,1,30,3,28,1,30,3,28,3,29,1,30,3,28,1,30,1,6,1,30,1,28,1,30,2,29,1,30,5,6,1,28,1,29,1,30,3,28,2,30,2,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,4,30,1,28,1,30,1,6,1,30,4,28,1,30,2,28,3,30,3,28,3,6,1,8,1,13,1,28,1,30,1,29,2,7,1,29,1,28,1,29,1,30,1,6,2,29,1,6,1,30,1,29,1,30,1,29,2,30,2,6,1,30,1,6,1,30,1,6,2,30,2,13,1,7,3,30,1,13,1,6,1,13,1,29,1,13,1,6,1,13,2,6,1,13,1,6,5,30,1,28,1,7,1,29,1,30,1,6,1,30,1,28,1,6,1,30,2,13,1,6,6,28,1,7,1,6,5,13,1,29,1,7,1,6,1,13,1,6,1,13,1,6,1,28,1,6,1,28,1,6,2,29,2,6,1,28,3,30,2,28,1,30,3,28,2,30,1,13,1,6,1,30,1,28,1,30,2,28,7,30,1,11,1,28,1,30,1,28,1,29,1,30,1,6,1,30,5,28,1,30,1,28,1,6,1,28,3,30,1,28,3,6,1,30,1,28,1,30,2,28,3,29,1,28,2,30,4,28,1,29,1,30,3,6,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,6,1,28,1,6,1,30,2,28,1,6,1,30,4,28,1,30,8,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,2,29,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,6,1,29,1,7,1,6,1,30,5,28,3,30,2,28,2,30,5,28,2,6,1,17,1,30,1,28,2,29,1,30,2,28,5,6,1,30,1,29,1,30,1,29,1,6,1,30,2,28,1,30,6,6,1,28,1,29,1,6,1,29,1,6,4,30,2,29,1,28,1,30,1,28,5,30,2,6,1,28,1,30,5,29,1,6,1,30,1,29,1,30,3,6,1,30,1,6,2,29,1,6,1,30,2,29,3,6,1,28,1,30,1,28,1,30,1,6,2,30,3,6,2,29,2,28,1,29,1,28,2,30,1,28,1,30,3,28,1,30,1,28,3,30,1,28,9,30,1,28,42,29,1,28,4,30,1,28,2,29,2,28,1,30,1,28,1,6,1,28,1,30,6,29,1,30,1,29,1,30,1,29,1,28,1,30,2,29,1,30,1,28,19,6,1,7,1,9,2,6,1,13,2,6,2,13,5,6,2,30,1,13,2,6,1,13,1,6,1,13,1,16,1,6,3,30,1,6,2,28,1,30,1,29,1,6,1,30,1,8,1,6,3,30,1,28,1,30,1,28,3,30,1,28,2,30,4,28,1,29,1,28,2,6,1,30,1,28,1,30,1,28,3,29,1,13,1,28,1,13,1,6,5,30,1,29,1,7,1,6,2,30,1,28,2,30,1,29,1,28,1,6,1,28,2,6,1,30,1,6,4,30,1,28,2,30,1,29,1,28,4,30,1,28,5,30,1,9,5,8,1,13,1,9,1,8,1,13,1,8,1,11,1,9,1,13,1,9,1,8,2,9,2,8,1,10,1,9,7,11,1,17,1,11,1,9,1,8,1,10,2,9,1,11,1,9,4,11,3,17,1,11,2,17,1,9,1,10,1,9,1,13,1,10,1,9,1,11,1,9,2,10,1,11,1,9,1,11,2,9,2,11,1,9,1,11,1,12,1,11,3,9,1,12,1,17,1,11,1,9,2,11,1,10,1,11,1,10,2,11,1,9,1,11,1,9,1,12,1,13,2,9,1,13,1,6,1,28,1,29,1,30,5,28,3,30,2,28,1,6,1,28,1,30,2,28,1,30,3,28,1,30,3,28,1,30,3,6,1,30,4,28,1,30,2,29,1,30,1,28,1,30,2,28,4,30,1,6,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,7,30,3,29,1,6,2,7,1,30,4,6,1,30,2,6,1,29,3,6,2,30,2,6,1,29,1,13,1,30,1,6,1,7,1,6,5,7,2,13,1,6,1,29,1,6,2,29,1,6,1,13,1,6,4,13,1,29,1,30,1,6,1,13,1,7,1,6,1,13,1,7,1,8,1,13,2,29,1,7,1,13,2,8,2,13,1,8,1,13,1,8,1,13,2,8,1,13,1,9,1,13,5,9,1,8,1,13,2,7,2,13,2,8,1,13,2,7,1,6,1,8,1,13,1,9,1,13,3,9,1,13,1,8,2,13,1,9,2,12,1,9,1,12,1,9,1,17,8,12,1,17,4,12,1,17,21,10,1,9,2,13,1,9,1,13,1,8,1,13,5,7,1,13,1,7,2,13,3,6,1,8,1,7,1,6,1,8,1,30,1,6,3,29,2,7,1,6,1,7,2,13,2,7,2,6,1,24,1,13,2,9,1,17,3,16,1,7,1,28,1,6,2,30,1,28,1,30,4,28,4,30,1,28,23,6,1,28,2,30,1,28,2,30,1,28,8,8,1,9,1,6,1,13,2,6,2,28,1,6,1,30,1,6,1,29,1,6,1,7,1,8,3,13,1,6,2,30,3,28,1,30,1,28,5,6,1,30,1,28,1,6,1,28,6,30,1,28,16,30,1,28,11,30,1,28,9,30,3,28,2,30,1,28,1,30,1,6,1,28,4,30,1,28,8,30,1,28,4,30,1,28,13,30,1,6,1,28,23,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,2,29,1,30,1,7,1,6,1,28,16,9,1,17,1,16,1,11,1,7,1,13,1,6,1,7,1,6,1,13,2,30,1,6,1,28,6,30,1,28,1,29,1,6,1,30,1,13,2,8,1,10,1,9,1,17,1,12,1,11,1,28,6,6,1,11,1,13,2,28,42,13,2,6,1,28,2,30,1,17,3,11,1,13,2,8,1,9,1,8,1,9,1,16,1,11,1,17,3,28,6,13,1,24,1,29,1,28,8,6,1,13,2,8,1,6,1,30,1,28,1,30,1,28,3,30,1,}, {13,1,9,1,17,5,16,1,11,1,8,1,13,2,6,1,29,1,28,3,6,1,13,1,6,1,28,30,6,1,28,2,30,2,29,1,6,1,29,1,13,1,6,1,13,1,7,1,6,2,29,1,6,1,30,1,29,1,13,1,7,2,8,3,9,2,6,4,13,1,8,1,9,1,13,1,8,2,13,2,9,1,16,1,11,1,16,1,17,3,16,1,11,1,16,1,9,1,10,1,13,1,8,1,6,1,13,2,8,1,9,1,10,1,8,1,13,3,6,1,12,1,17,5,16,2,9,1,11,1,10,1,9,1,12,1,16,1,17,2,11,1,13,4,8,1,13,3,28,36,6,1,13,2,8,1,12,1,17,1,9,1,8,1,13,1,7,1,6,1,7,1,30,1,16,1,17,7,11,1,9,1,13,2,8,1,13,1,6,1,13,1,30,1,13,1,6,1,7,1,13,1,8,1,13,1,8,1,9,1,11,1,17,2,11,1,17,1,11,1,17,1,16,1,30,1,28,13,30,1,13,1,6,1,30,2,6,2,29,1,6,2,30,1,29,1,30,2,6,1,30,3,28,1,29,1,30,1,6,1,30,3,6,1,30,3,29,1,6,1,30,1,28,1,6,2,30,2,6,1,29,1,30,3,28,11,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,6,4,28,1,6,1,30,2,6,1,30,1,6,2,29,1,28,1,30,1,6,1,30,3,6,1,30,1,6,2,30,1,29,1,30,2,28,1,29,1,28,1,30,1,6,1,13,1,6,1,13,1,6,3,30,1,6,2,30,1,6,1,30,1,29,1,6,1,30,2,29,1,30,1,6,2,30,3,29,1,30,3,6,1,30,1,29,1,28,1,30,2,6,2,29,1,6,3,7,1,28,1,30,2,29,1,30,2,28,2,30,1,6,1,30,5,28,2,30,1,28,1,13,1,6,2,7,1,6,2,7,2,30,1,7,3,13,2,6,1,30,2,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,28,3,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,3,28,3,6,2,28,2,6,1,24,3,30,1,29,2,28,1,6,1,8,3,6,2,29,1,28,1,30,1,6,2,25,1,29,1,27,1,26,1,24,4,10,1,27,1,29,1,30,1,24,1,17,1,10,1,9,1,10,1,8,1,10,1,8,2,10,1,9,1,8,1,9,1,13,1,8,1,13,2,8,1,29,1,13,1,6,3,29,2,6,1,30,1,7,1,13,7,9,1,8,2,13,1,9,2,8,3,13,2,8,1,13,1,8,1,9,1,6,1,8,1,13,2,7,1,8,1,6,1,8,1,7,1,13,8,7,1,13,1,6,1,7,1,13,1,8,1,9,2,12,1,10,1,17,3,12,1,10,1,9,1,12,1,10,1,9,1,11,1,12,1,10,1,11,1,10,2,9,1,6,1,30,1,28,1,30,3,28,1,30,2,28,17,30,1,28,1,30,1,28,1,29,2,6,1,29,1,27,2,26,1,29,1,27,2,25,3,26,1,25,2,24,2,25,1,24,13,25,1,24,2,25,1,24,19,25,1,8,1,24,1,8,1,27,1,30,1,25,1,29,1,6,1,15,1,17,2,9,1,28,1,6,1,28,1,27,2,29,3,30,1,28,1,27,1,25,2,24,1,8,1,24,2,25,1,8,1,24,1,25,1,24,4,8,2,25,1,27,1,6,2,30,3,28,1,29,1,30,4,6,1,29,1,30,4,6,1,28,1,29,1,6,1,30,1,6,1,28,1,6,1,30,4,28,1,30,1,29,1,30,2,6,1,30,4,28,1,30,2,28,1,6,1,30,1,29,2,6,1,30,1,6,1,7,1,13,1,6,1,7,1,13,1,8,1,6,1,13,4,6,3,29,1,13,1,30,1,13,3,7,1,6,1,30,1,7,1,6,1,13,2,6,1,7,1,30,2,6,1,30,1,6,1,30,1,6,1,7,1,28,1,6,1,9,1,6,3,28,1,6,5,30,1,29,1,30,1,6,1,29,2,30,2,7,1,6,2,30,1,13,3,7,1,6,1,13,4,6,2,13,1,30,2,6,1,30,1,6,2,13,2,6,1,30,1,6,1,30,1,7,1,6,2,13,3,7,1,13,1,11,1,13,1,30,3,6,1,30,1,6,3,29,1,7,1,13,1,9,1,13,1,8,2,9,2,8,1,9,1,13,2,9,1,13,1,6,1,10,1,9,1,7,1,6,1,28,3,30,1,6,1,29,1,28,36,29,1,30,3,13,1,6,1,30,1,6,1,28,1,29,1,30,2,28,2,30,2,28,1,30,1,28,3,30,3,28,1,30,3,28,1,30,2,28,2,30,1,28,1,6,1,28,1,6,1,28,1,30,4,28,1,30,4,28,1,30,2,28,5,30,1,28,2,30,1,28,1,30,3,28,3,6,1,28,6,30,1,28,1,29,1,30,2,28,1,29,1,28,1,30,3,6,1,13,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,29,1,30,1,29,1,28,1,29,1,30,1,29,2,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,29,1,30,1,29,1,7,1,30,3,28,1,29,1,30,1,28,1,30,1,28,3,29,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,4,28,3,30,1,28,4,29,1,7,1,30,1,29,1,6,1,28,3,30,1,28,4,30,1,28,1,30,2,6,1,13,1,6,1,30,2,6,1,30,5,29,1,6,2,30,2,7,1,6,2,29,1,6,1,30,1,29,2,6,3,29,1,6,1,30,1,6,2,7,1,6,1,29,1,6,6,13,3,7,2,6,1,13,2,28,1,30,1,6,1,7,1,29,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,29,2,6,4,30,1,6,1,30,3,6,1,7,1,13,1,6,3,7,1,6,2,30,1,29,1,6,1,30,5,29,1,28,2,6,1,30,3,28,2,30,1,28,1,30,2,28,1,30,1,7,1,30,1,28,1,29,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,9,1,28,1,29,1,30,1,29,1,30,9,6,2,28,1,30,1,28,2,29,1,30,1,28,1,30,2,28,4,30,1,6,1,30,1,28,2,30,2,29,1,28,1,30,2,28,4,30,4,28,2,30,1,28,1,30,2,28,1,30,2,29,1,30,3,28,1,30,1,28,3,30,1,6,2,30,1,6,1,30,1,28,1,29,1,30,1,28,2,30,6,6,1,28,2,6,1,28,1,30,2,28,1,30,6,28,1,30,1,29,1,30,2,28,1,6,2,28,2,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,2,30,2,28,1,30,1,28,1,30,1,17,1,6,1,28,1,30,1,28,1,30,1,28,2,30,3,28,2,30,1,29,1,30,1,28,2,6,1,28,1,29,1,30,4,6,3,28,1,29,1,30,2,28,2,30,4,28,3,6,1,28,1,30,1,6,1,30,1,6,1,28,2,30,1,28,2,30,3,28,2,30,3,28,1,30,1,28,1,30,3,28,1,6,1,29,1,28,1,30,4,6,1,30,4,6,1,29,1,30,2,29,1,30,2,28,1,30,2,28,2,6,1,28,1,30,4,28,2,30,1,29,1,30,1,29,1,28,1,6,2,30,1,6,1,30,2,28,1,6,2,28,1,6,1,30,2,28,1,6,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,2,30,1,6,1,28,1,30,1,28,5,30,4,29,1,30,1,28,1,30,1,6,1,30,2,29,1,6,1,30,1,28,1,30,5,29,1,13,1,6,1,28,1,29,1,6,1,29,1,6,2,13,1,6,2,29,2,30,1,29,1,28,1,30,4,6,1,28,34,30,1,28,6,11,1,9,1,28,1,30,2,6,1,28,1,30,1,6,2,28,1,30,1,13,1,7,1,13,1,28,1,13,4,6,1,13,1,29,2,6,2,30,1,6,1,13,1,6,3,13,1,6,1,13,5,9,1,13,1,8,1,7,1,13,2,6,1,13,4,7,1,29,1,6,3,13,1,6,1,28,1,30,1,28,3,30,1,28,2,30,1,6,1,28,1,30,1,6,1,13,1,28,1,30,4,29,1,28,2,29,1,28,7,6,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,9,2,8,1,9,2,10,1,13,1,10,1,9,5,8,3,9,1,13,1,9,1,17,1,12,1,8,1,9,2,11,1,12,1,9,2,11,2,9,3,11,1,10,1,11,1,9,1,10,1,11,2,12,1,11,1,9,1,11,1,9,2,11,2,10,1,11,2,17,1,12,1,11,1,10,1,11,5,10,1,9,1,11,3,17,3,12,1,10,1,12,1,10,2,11,1,12,2,11,3,10,1,9,1,11,2,9,1,8,1,13,2,6,3,30,4,28,1,30,1,28,2,30,2,28,1,30,1,6,1,30,2,28,1,30,3,28,1,30,1,6,1,30,2,28,1,29,1,28,3,6,2,28,11,30,1,28,1,30,3,28,1,30,1,28,6,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,6,29,1,30,1,6,2,28,1,29,1,28,1,6,2,30,1,6,5,29,1,30,1,6,1,7,1,30,1,6,3,29,1,6,8,13,1,30,2,7,1,6,1,29,1,7,1,6,4,30,1,7,1,6,1,13,1,7,1,13,7,6,2,13,2,7,1,13,3,8,1,7,1,13,3,8,1,13,2,8,1,9,1,13,4,7,1,13,3,7,1,8,1,13,4,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,9,1,8,1,11,3,12,2,11,1,17,2,12,1,17,1,12,1,17,5,12,1,17,4,12,1,17,3,12,1,17,13,9,1,11,1,16,1,9,1,8,1,9,2,8,2,13,2,7,1,13,1,29,1,13,2,7,1,6,1,29,1,6,1,29,2,13,1,6,2,30,1,29,1,7,1,6,1,13,1,7,1,6,1,13,2,6,1,7,1,6,1,13,1,8,1,9,1,8,1,10,1,17,4,6,1,30,1,6,1,30,3,28,2,30,5,28,5,30,1,28,3,30,1,28,10,30,1,28,1,30,1,28,1,30,1,28,1,6,1,29,1,30,1,28,11,6,1,10,1,7,1,6,1,13,1,6,2,30,3,13,1,6,2,8,1,9,1,13,2,6,1,30,2,28,2,30,1,28,1,30,1,28,4,29,1,6,1,28,4,30,1,28,6,30,1,28,14,30,1,28,3,30,1,28,5,30,1,28,2,30,2,28,4,30,2,28,3,30,1,28,12,30,1,28,32,30,1,28,16,30,1,28,4,6,1,30,2,28,4,30,1,28,5,30,1,28,5,30,1,28,8,30,1,28,1,30,5,28,5,30,2,6,2,28,17,8,1,17,1,11,2,13,2,6,1,29,2,7,1,6,1,30,2,28,9,29,1,30,1,28,1,8,1,9,2,11,1,17,2,11,1,30,1,28,5,30,1,13,2,6,1,28,41,30,1,6,2,30,1,28,2,13,1,17,2,16,1,9,2,8,1,9,1,13,2,9,2,11,1,17,2,9,1,28,6,6,2,30,1,28,8,6,5,13,1,28,4,30,1,28,1,}, {13,1,17,7,11,1,9,1,8,1,13,1,6,2,28,3,13,1,8,1,13,1,28,1,30,1,28,27,30,1,28,2,30,1,28,1,6,1,30,1,29,1,28,1,6,1,28,2,30,1,28,1,29,1,28,2,30,1,7,2,6,1,9,1,13,1,8,1,9,1,11,1,9,2,7,1,13,1,6,1,13,1,9,1,10,1,13,1,24,2,13,3,17,5,16,1,17,1,16,1,11,2,9,1,8,1,13,4,8,1,12,1,9,2,13,1,8,1,13,1,8,1,9,1,17,4,16,3,11,1,9,1,11,1,17,1,16,1,17,4,13,2,6,1,8,1,13,2,24,1,13,1,6,1,28,33,6,1,28,1,6,1,13,1,24,1,9,1,8,1,17,1,10,1,24,1,13,3,6,1,30,1,12,1,17,4,11,1,17,2,12,1,10,1,8,2,9,1,8,1,13,1,7,1,13,1,7,1,13,3,8,2,10,2,9,1,10,2,16,1,17,1,16,1,17,2,28,14,30,1,6,2,30,3,29,1,6,1,30,2,6,1,7,1,6,2,30,1,6,2,30,3,29,1,30,1,29,1,28,1,6,1,30,1,29,1,6,1,29,1,6,3,30,2,6,1,30,2,6,2,30,3,28,9,30,2,6,1,30,1,6,1,7,1,6,2,30,2,6,1,30,1,6,4,30,2,28,2,30,3,6,1,30,4,28,1,30,2,28,1,6,1,28,1,30,4,6,1,30,1,13,1,6,2,30,2,6,1,30,2,6,1,30,3,29,1,30,4,28,1,30,1,6,1,30,4,29,1,30,1,6,1,30,2,6,3,28,1,30,1,6,1,30,3,6,1,29,1,30,1,29,2,28,1,30,2,28,1,30,2,6,1,30,2,29,1,30,1,28,4,30,3,6,1,28,1,30,2,6,1,13,2,6,1,30,1,29,1,30,1,28,1,30,1,13,3,30,4,28,2,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,4,28,4,30,1,28,3,30,2,28,1,30,1,28,1,6,1,28,1,30,3,6,1,30,3,6,1,28,2,13,1,8,1,24,1,8,1,6,1,28,3,30,1,9,1,13,2,8,1,28,5,6,4,30,1,25,1,24,2,12,1,24,1,25,1,29,2,30,1,8,1,12,1,17,1,8,1,13,1,8,1,9,1,8,1,10,1,11,1,8,1,9,2,8,1,13,1,8,1,13,2,6,3,13,1,6,2,30,1,6,3,13,1,6,1,7,1,8,1,9,1,8,1,7,1,13,1,8,1,9,1,8,1,13,2,8,2,13,1,8,1,13,6,7,1,13,1,8,2,13,2,7,1,13,2,7,1,13,2,24,1,6,1,13,5,8,3,11,2,12,1,17,1,12,4,11,1,10,1,9,1,12,1,11,1,10,1,12,3,13,1,30,1,28,1,30,8,28,1,30,1,28,5,30,1,28,7,30,1,28,2,29,2,6,1,26,1,27,5,29,1,25,1,26,1,25,4,8,1,25,1,8,1,25,1,24,1,25,1,15,1,24,2,15,1,24,1,15,1,24,2,25,1,24,8,8,1,24,1,25,1,24,1,8,1,24,5,15,1,12,1,24,3,15,1,24,1,8,1,25,1,26,1,8,1,29,1,27,4,26,1,27,1,26,1,8,1,6,4,27,2,29,1,27,1,29,3,27,2,25,1,24,4,26,1,24,1,25,1,8,1,24,3,8,1,25,1,8,1,27,1,6,1,30,2,29,2,30,2,6,1,30,4,6,1,30,1,28,1,30,1,28,1,29,1,30,1,29,2,30,1,6,1,13,1,30,2,29,1,30,2,6,1,28,1,30,1,6,1,29,2,6,3,30,1,6,2,30,1,28,1,30,4,6,1,28,1,29,1,6,1,30,1,13,1,7,1,13,2,30,1,7,1,13,4,6,2,13,1,6,4,13,3,6,1,13,2,8,1,7,1,13,3,6,2,30,1,6,1,30,1,6,3,30,1,6,1,13,1,8,1,6,2,13,2,30,1,6,3,30,1,6,2,29,1,6,1,30,1,29,1,6,2,28,1,29,1,30,1,6,1,30,1,28,1,6,1,30,3,29,1,30,1,6,2,30,3,28,3,30,1,28,4,30,1,28,10,9,1,17,1,11,1,13,2,8,2,13,1,28,3,29,1,30,1,7,1,6,1,30,3,28,1,30,1,28,7,30,1,28,3,30,1,28,20,30,1,28,1,30,1,28,2,29,1,28,1,6,2,30,2,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,3,6,1,30,1,29,1,30,1,29,1,28,1,30,1,6,1,13,1,28,1,6,1,29,1,28,7,30,1,28,1,30,2,28,3,30,1,28,1,30,4,29,1,28,1,30,9,28,2,6,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,3,28,2,30,2,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,6,3,28,3,30,2,29,1,30,2,28,2,30,2,29,1,30,7,28,1,30,2,28,2,6,2,30,7,28,2,30,4,28,2,29,2,30,2,28,1,30,1,28,3,6,1,29,1,28,1,29,1,30,1,28,2,30,1,28,4,6,1,30,1,29,1,6,1,13,1,6,1,28,5,30,2,6,1,30,3,13,2,30,2,6,3,30,1,6,2,30,2,6,1,30,1,6,1,7,1,6,1,30,1,29,1,30,1,29,1,30,3,28,1,6,1,30,1,6,2,30,1,6,1,13,1,6,1,30,1,13,1,30,2,29,1,6,2,29,1,6,1,13,1,6,2,13,1,30,1,6,1,28,1,30,1,29,1,6,1,28,1,30,1,29,1,30,3,28,1,30,2,6,3,29,2,6,3,29,1,30,1,6,1,30,1,13,3,6,9,28,1,30,1,28,2,30,2,6,2,30,1,29,2,6,1,28,1,29,1,30,1,29,1,30,1,28,1,13,1,6,1,28,1,30,2,28,3,30,2,28,1,30,2,28,1,13,2,30,1,29,1,6,1,30,1,6,1,30,2,28,1,6,1,29,1,6,1,30,2,28,1,6,1,30,1,28,1,29,1,28,1,30,4,28,2,6,2,7,1,28,1,30,1,29,1,6,2,28,5,30,2,28,1,30,1,28,1,29,2,30,1,28,4,30,1,28,2,29,1,30,1,28,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,2,28,1,30,5,6,1,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,4,30,4,28,1,30,1,28,1,29,1,30,2,28,1,6,2,30,3,28,1,6,1,30,4,28,1,30,1,28,1,30,1,28,5,17,1,16,1,28,1,30,1,28,3,30,1,28,1,30,2,6,1,28,1,30,1,28,3,30,1,6,1,30,7,6,1,30,1,6,1,28,1,6,1,28,1,30,3,28,1,29,1,30,1,28,2,30,2,28,1,29,1,28,7,30,1,28,1,30,3,28,1,30,4,6,1,29,1,30,1,28,1,30,2,6,1,29,1,28,1,30,1,29,1,28,2,30,1,28,2,30,3,28,1,30,2,29,1,30,4,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,2,6,3,30,1,28,1,30,1,28,1,29,1,28,2,30,2,6,1,30,2,29,1,30,2,28,1,30,1,28,1,6,1,29,1,30,1,28,1,30,3,6,1,30,1,28,1,30,1,28,1,6,2,28,1,30,2,29,1,30,4,29,1,28,1,30,2,6,1,30,1,28,1,30,2,28,2,30,1,28,1,6,1,28,1,6,1,30,1,7,1,6,2,30,1,6,4,13,2,8,1,13,1,30,1,6,1,30,1,6,1,13,1,6,3,30,1,29,1,13,1,28,1,30,1,28,1,30,1,28,16,6,1,28,11,30,2,28,6,17,1,28,10,6,1,7,1,6,1,28,24,29,1,30,1,6,4,13,1,9,2,13,2,8,1,13,1,9,1,13,1,9,2,17,3,9,1,17,2,11,1,9,1,6,1,13,1,17,1,16,1,13,2,6,1,30,2,28,1,30,2,6,1,7,1,6,2,28,3,30,1,28,4,29,2,13,1,8,1,9,7,11,2,9,1,11,1,8,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,11,1,17,1,11,1,9,1,11,1,17,1,9,1,17,1,9,1,11,1,10,1,11,3,9,1,10,1,9,1,11,7,10,1,9,1,10,1,11,3,9,2,11,1,10,1,17,1,16,1,10,1,11,2,10,1,11,8,17,2,12,1,9,1,17,1,11,2,17,1,11,3,12,1,11,2,9,4,11,1,9,1,8,2,9,1,13,2,6,1,30,1,28,1,29,1,30,2,28,1,30,7,28,1,30,2,6,1,29,1,30,3,29,1,28,1,6,1,28,3,30,1,29,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,6,2,28,10,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,4,6,2,30,2,13,1,29,1,6,1,29,1,6,4,30,1,6,1,13,1,30,1,29,1,6,2,29,1,30,1,6,1,30,1,29,1,7,1,29,1,6,1,30,1,13,1,7,1,30,1,7,1,6,2,7,1,6,2,7,1,6,3,13,1,7,1,6,2,29,1,6,1,13,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,13,1,8,1,13,4,8,1,13,4,6,1,8,1,13,1,9,1,13,2,7,1,13,2,6,1,7,1,6,1,7,1,13,1,6,1,13,2,7,1,13,2,8,1,13,3,9,1,13,3,8,2,9,1,13,1,11,1,9,1,16,1,12,1,17,1,11,1,17,2,12,1,17,1,10,1,17,1,12,1,17,6,16,1,17,16,16,1,8,2,7,1,8,1,6,1,13,1,8,1,13,1,8,1,13,1,7,2,29,1,7,1,6,1,29,1,7,1,29,1,6,2,29,1,13,1,6,4,13,1,6,4,13,1,7,1,6,1,29,2,6,1,13,2,9,1,11,1,17,4,11,1,13,1,30,1,6,1,30,3,6,1,29,1,28,2,30,1,29,1,30,1,28,26,6,2,30,1,28,11,13,1,8,1,13,1,7,1,13,1,6,1,29,1,6,4,13,1,8,1,9,1,13,3,7,1,6,1,30,2,28,2,30,1,28,4,30,1,29,1,28,2,30,1,28,1,30,1,28,5,30,1,28,2,30,1,28,22,30,2,28,1,6,1,28,1,30,4,28,5,30,3,28,2,30,1,28,4,30,1,28,5,30,1,28,5,29,1,28,9,30,1,28,35,30,1,28,10,30,1,28,21,30,1,28,2,30,1,28,3,30,3,13,1,6,1,28,17,11,1,17,1,11,1,9,1,13,1,6,1,29,1,7,1,29,1,6,1,28,1,6,1,28,5,29,1,28,3,30,1,28,1,6,1,28,1,13,1,8,1,11,1,9,1,17,2,8,1,28,7,8,2,29,1,28,42,8,1,13,1,28,1,30,1,28,1,13,1,17,3,11,1,13,1,8,2,11,1,9,1,16,1,10,1,16,1,17,2,9,1,28,6,6,1,13,1,6,1,28,1,30,1,6,1,28,5,7,1,6,1,8,1,7,1,13,1,30,1,29,1,28,2,30,1,28,2,}, {6,1,9,1,17,3,16,1,17,2,10,1,13,2,8,1,30,2,28,3,6,1,9,1,13,1,28,31,6,1,13,1,7,1,6,2,13,1,6,1,29,1,28,1,13,1,30,1,13,4,10,1,11,1,8,1,17,1,11,1,17,3,11,1,10,1,13,2,6,1,29,1,13,1,9,1,11,1,8,1,6,1,13,1,6,1,13,1,9,2,17,6,16,1,17,1,16,1,11,1,9,1,13,1,6,1,13,1,6,1,8,2,9,2,13,2,6,1,8,1,9,1,17,3,16,2,17,2,16,1,11,1,8,1,9,1,10,1,17,4,13,3,7,2,6,1,13,1,8,1,6,1,28,34,30,1,6,1,13,1,9,1,8,1,9,1,17,1,9,1,13,3,6,1,13,1,29,1,11,1,17,6,12,1,11,1,9,1,13,1,8,2,24,1,9,1,7,2,6,1,13,3,24,2,9,1,10,1,9,1,10,1,17,2,16,1,17,2,11,1,29,1,28,13,6,3,30,1,6,1,30,1,6,1,29,1,6,2,7,1,6,1,13,1,6,4,28,1,30,2,29,1,28,1,6,2,30,2,29,1,30,1,29,1,30,1,6,1,29,1,6,1,28,1,30,2,6,1,30,1,6,1,30,1,28,9,29,1,6,1,30,1,13,1,6,3,30,1,29,1,6,1,29,1,30,3,13,1,29,1,30,1,6,2,30,2,29,1,30,1,6,1,28,1,30,4,6,1,29,1,30,1,29,1,28,1,29,1,30,1,6,2,30,2,13,1,6,1,30,2,29,1,6,2,30,2,28,1,6,1,28,1,29,1,30,1,28,1,29,1,30,6,6,1,30,5,28,1,30,3,28,2,30,2,28,4,30,1,29,1,6,1,28,1,30,2,6,2,30,2,28,2,6,1,30,2,28,1,30,1,7,1,30,1,29,1,30,1,28,1,30,2,28,2,30,1,6,1,30,1,29,1,13,1,30,1,6,3,7,1,13,3,6,1,29,1,28,3,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,3,28,1,30,7,28,1,30,1,28,2,30,2,6,1,28,1,30,1,29,1,28,1,30,2,28,2,30,3,6,1,30,1,28,1,30,1,8,1,24,1,8,1,24,1,28,4,6,1,24,2,7,1,6,2,28,3,30,2,29,1,6,1,30,1,29,1,8,1,25,1,24,3,25,1,8,1,27,1,30,1,28,1,13,1,10,1,11,1,9,3,8,3,9,1,24,1,8,2,13,1,8,2,13,2,6,1,7,1,6,3,29,1,6,2,13,2,7,1,13,1,8,1,7,1,13,1,8,1,24,1,9,1,13,1,8,1,9,2,13,1,8,2,13,2,8,3,13,3,8,1,9,1,13,8,8,1,13,2,8,2,13,1,8,4,9,1,17,3,12,2,11,1,10,1,11,2,12,1,17,2,12,1,17,1,12,1,8,1,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,13,30,2,6,2,26,1,27,1,26,1,27,3,26,2,25,2,27,1,26,1,25,3,8,1,25,1,24,3,15,2,24,1,15,1,24,1,8,1,24,2,25,2,24,2,25,1,26,1,24,8,25,1,24,2,12,3,24,2,15,1,24,3,25,1,27,1,25,3,27,1,26,2,27,2,25,1,27,1,6,2,29,2,27,1,25,1,27,1,26,1,29,1,27,1,30,1,29,1,25,1,27,1,24,3,8,2,25,1,24,2,25,1,24,1,8,1,24,1,25,1,26,1,30,2,6,1,29,1,30,2,6,1,30,4,29,1,30,4,6,1,30,2,28,1,30,1,6,1,30,2,28,1,13,1,6,2,28,1,6,2,28,1,6,4,29,1,6,2,30,4,29,1,6,2,28,1,6,1,30,5,29,1,13,3,9,1,13,2,6,1,7,1,9,1,13,2,6,1,7,1,13,1,30,1,13,2,6,1,13,1,6,1,7,1,13,4,30,2,6,2,30,1,6,1,29,1,13,2,28,1,6,2,30,1,6,1,13,2,6,1,28,1,6,1,30,3,28,1,30,2,28,1,30,1,28,43,30,1,28,33,30,1,28,7,30,1,28,2,30,1,28,1,30,3,28,1,6,1,30,1,29,1,30,1,28,1,30,1,6,1,29,1,30,3,28,1,30,1,28,2,30,1,28,1,30,2,6,1,30,1,6,1,30,4,29,1,28,1,30,1,13,1,6,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,29,1,30,1,6,1,28,1,6,1,30,2,28,1,30,4,13,1,30,1,28,6,30,1,28,1,30,3,28,1,30,1,28,1,6,1,28,5,30,1,28,2,30,3,28,4,30,4,28,2,30,2,28,2,30,3,13,1,30,3,29,1,30,1,28,2,29,1,30,1,28,2,30,7,28,1,30,1,28,1,30,1,28,1,30,2,6,2,30,4,28,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,4,28,4,30,1,28,2,30,4,28,2,6,1,30,1,28,7,30,2,29,1,6,1,8,1,30,1,6,1,30,1,6,1,30,1,29,1,6,5,29,1,6,1,30,1,6,1,30,1,29,1,6,3,30,1,29,3,6,1,30,1,6,1,30,1,6,1,7,1,6,3,13,1,6,1,7,1,6,2,7,1,13,4,6,1,30,6,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,3,6,2,30,1,6,2,29,1,6,2,29,1,13,2,6,1,13,1,29,1,6,1,13,1,6,1,13,1,6,2,30,2,6,2,7,1,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,13,1,30,2,28,1,30,3,6,1,30,2,6,1,30,1,29,1,28,1,17,1,13,1,30,2,6,1,30,4,6,1,30,1,28,1,29,1,28,2,30,1,28,1,29,1,6,1,30,2,6,2,30,2,6,1,30,1,28,1,29,1,30,3,28,2,13,1,6,2,13,1,6,1,30,2,29,1,30,2,28,1,30,1,28,1,30,2,29,1,28,3,30,1,28,1,30,1,28,1,6,1,29,1,30,1,6,1,28,1,29,1,30,4,6,1,30,1,13,1,6,1,30,1,6,2,13,1,29,2,30,5,6,1,30,6,28,1,30,1,6,1,28,1,30,1,28,1,29,2,6,1,30,2,6,1,28,1,30,4,6,3,29,1,30,1,28,1,6,1,13,1,6,1,28,1,30,2,28,2,6,1,28,4,9,1,17,1,6,1,28,5,30,3,28,2,30,2,28,2,30,1,28,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,29,1,30,1,6,1,30,5,6,1,28,6,30,3,28,1,29,1,30,6,28,1,30,2,28,1,30,2,28,2,29,1,30,1,28,1,30,2,28,1,30,2,29,1,28,1,29,1,28,3,30,2,28,1,6,1,30,1,28,1,30,2,28,1,6,1,28,1,30,7,28,1,30,1,28,1,30,1,28,5,30,1,28,3,29,1,30,1,6,2,28,1,30,4,29,1,30,2,28,1,30,6,28,1,30,1,28,3,30,2,29,1,7,1,30,5,28,1,30,1,28,1,30,2,6,1,28,1,30,3,29,1,30,7,6,1,30,1,28,1,6,1,28,1,30,3,29,1,30,1,13,1,6,3,30,1,7,1,6,1,7,1,13,1,6,4,29,2,28,1,7,1,30,1,6,1,29,1,30,1,13,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,4,29,1,28,2,30,2,13,1,30,1,28,1,30,1,28,8,30,2,29,1,28,4,9,2,28,47,30,1,28,3,30,1,6,1,28,8,30,2,28,1,30,1,13,1,28,9,30,1,28,1,6,1,13,1,29,1,6,1,30,2,28,3,29,1,28,1,30,1,29,1,13,1,8,1,13,1,8,1,9,1,11,1,9,1,11,1,9,2,10,1,11,1,9,2,10,1,13,1,9,1,8,1,9,2,10,1,11,1,17,2,9,1,11,1,9,1,11,2,9,1,11,1,17,1,11,4,9,1,12,1,11,1,17,1,16,1,9,1,12,1,11,2,9,1,12,1,11,2,9,1,11,4,17,1,10,1,11,3,9,1,11,2,9,3,12,1,11,1,9,1,11,1,17,1,11,2,10,1,17,2,11,3,17,3,11,1,17,1,11,1,9,2,16,1,11,4,9,3,13,1,9,1,13,1,29,1,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,5,6,1,30,1,6,1,30,2,28,1,30,3,6,1,30,3,28,2,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,4,6,1,28,2,30,1,28,6,30,3,28,7,6,1,29,1,30,3,6,1,30,2,6,2,28,1,29,1,6,3,30,2,28,1,6,1,30,1,6,1,30,1,6,2,29,1,13,1,6,1,29,1,30,1,6,3,13,1,6,2,13,1,6,1,13,1,30,1,29,2,6,1,13,1,30,1,6,1,7,1,13,1,6,3,13,1,6,1,13,3,7,1,13,1,6,1,13,3,6,1,13,2,7,1,8,1,6,1,13,2,8,1,13,1,6,2,13,1,6,1,7,1,6,1,7,1,6,2,13,1,7,1,13,1,6,1,13,1,7,1,13,7,8,1,13,4,9,4,10,1,12,1,11,1,17,1,11,2,12,1,17,1,9,1,17,1,9,2,17,1,12,1,17,1,16,1,17,17,9,1,13,2,29,1,28,2,30,1,13,3,6,1,30,1,29,1,6,1,30,1,6,1,29,1,6,4,7,1,6,3,29,1,6,2,13,1,6,4,29,1,6,1,13,1,6,1,13,1,9,1,11,2,9,1,17,2,16,1,17,1,13,1,29,1,30,1,13,1,30,5,28,1,30,4,28,1,30,3,28,20,29,1,30,1,6,1,30,1,28,8,29,1,28,2,13,3,6,1,7,1,6,1,30,1,6,1,29,1,30,1,13,2,9,1,8,1,13,1,8,1,13,1,6,1,29,1,28,8,30,1,29,1,30,1,28,1,30,1,28,10,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,1,30,4,6,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,5,30,1,28,1,30,2,28,51,30,1,28,4,30,1,28,6,30,1,28,5,30,1,28,13,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,6,2,28,17,9,1,17,1,13,1,9,1,13,2,6,2,13,1,30,2,29,1,30,1,28,2,30,2,28,5,29,1,30,1,6,1,9,2,11,2,17,2,9,1,28,2,29,1,28,3,7,1,9,1,13,2,28,41,6,1,7,1,30,1,28,3,10,1,17,2,16,1,13,1,11,1,9,2,8,3,9,1,16,1,17,2,9,1,28,6,8,1,13,1,28,1,30,1,28,1,30,1,28,5,13,1,28,1,6,1,29,1,13,1,28,7,}, {29,1,10,1,11,1,17,2,16,1,9,1,16,1,9,2,13,1,7,1,6,1,28,4,13,1,10,1,8,1,28,23,30,1,28,2,13,3,8,1,9,1,11,2,17,1,11,1,17,1,11,1,17,6,11,1,17,11,16,1,11,1,13,1,6,1,7,1,13,1,8,1,24,1,8,2,7,1,30,1,8,1,9,1,10,1,17,2,16,1,17,5,11,2,8,1,13,2,6,1,13,1,24,3,8,1,13,1,7,1,13,1,6,1,9,1,17,7,16,1,10,1,11,1,9,1,11,1,16,1,17,3,8,1,29,1,13,1,7,1,6,1,30,1,8,1,13,1,6,1,28,35,30,1,13,2,24,1,10,1,17,1,16,1,9,1,13,2,6,1,7,1,13,1,9,1,17,8,9,3,8,1,24,1,13,1,6,4,13,1,8,2,24,2,9,3,17,1,11,2,16,1,17,1,16,1,6,1,28,13,13,2,30,1,13,1,30,1,6,1,29,1,28,1,6,1,13,1,6,7,30,1,6,1,28,1,30,1,28,1,30,1,6,1,30,2,6,1,28,1,6,1,30,1,6,6,28,1,30,2,28,4,30,1,28,3,13,1,30,1,6,3,30,1,13,1,29,2,6,2,13,1,6,2,30,2,28,1,30,5,6,1,30,2,28,1,30,3,6,1,30,3,6,1,30,1,6,1,30,1,29,1,6,1,7,1,13,1,6,1,29,1,30,2,6,2,29,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,7,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,5,28,2,30,1,28,1,29,1,30,3,6,1,28,1,30,7,6,1,28,1,30,3,28,1,30,1,28,1,29,1,6,1,28,2,30,3,29,1,6,5,30,1,28,1,6,1,13,3,6,1,30,5,28,3,29,1,28,2,30,2,28,1,30,1,29,1,28,3,30,18,29,1,30,2,28,1,30,2,29,1,28,1,30,1,29,1,30,3,29,1,28,2,8,1,24,2,8,1,6,1,30,1,28,2,6,1,8,1,6,1,8,1,6,1,30,1,28,4,30,1,28,1,29,2,30,1,25,1,24,1,8,1,24,3,25,1,24,1,30,1,28,2,13,1,9,1,10,1,9,1,11,1,8,1,9,1,8,2,9,1,13,1,8,1,13,3,7,1,13,2,29,1,13,1,6,1,7,1,6,5,7,2,8,3,9,1,8,2,9,1,8,5,9,1,8,1,13,1,8,1,13,1,8,1,6,1,24,1,13,3,9,2,8,1,13,5,8,1,13,1,9,2,13,1,10,2,11,1,9,1,17,5,12,1,17,1,12,1,17,1,12,2,17,4,8,1,30,2,28,6,30,1,29,1,28,2,29,1,30,1,29,1,30,1,28,2,30,1,28,8,30,3,29,1,6,2,27,3,26,4,25,7,24,1,8,1,24,4,15,2,24,9,8,1,24,1,25,1,24,1,25,1,24,2,8,1,25,1,24,1,25,1,24,2,15,1,12,1,24,3,15,1,24,4,8,2,24,2,27,2,29,1,27,1,26,1,25,1,27,2,29,2,30,1,29,1,30,1,27,1,26,1,25,1,29,2,30,1,25,2,24,2,12,1,24,8,25,2,29,1,30,2,6,1,29,1,30,1,28,1,29,1,30,5,6,1,30,5,6,1,30,9,13,4,6,3,29,1,30,1,29,1,30,1,6,1,30,1,6,3,30,5,28,3,30,2,28,2,30,1,13,1,6,1,29,1,13,1,28,4,6,1,28,1,30,3,28,2,30,1,28,1,30,6,28,15,30,2,28,42,30,1,28,13,30,1,28,9,30,1,28,2,29,1,28,1,30,2,28,3,30,2,28,1,30,1,28,2,6,1,30,2,28,1,30,2,29,1,6,1,30,1,6,1,29,2,6,1,29,1,30,3,29,1,28,1,29,1,28,1,30,1,6,1,7,1,28,1,6,3,29,1,30,1,28,2,30,3,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,5,28,1,30,1,29,1,13,1,29,1,6,1,28,1,30,1,28,1,30,1,28,3,30,2,28,1,6,1,28,1,30,5,28,1,29,1,6,1,28,1,30,4,6,1,30,1,6,1,29,1,30,1,28,1,30,5,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,2,30,2,28,1,6,1,28,3,30,2,28,1,29,1,28,1,30,1,28,1,13,1,6,2,30,2,28,1,29,1,30,2,6,1,30,2,28,1,30,1,28,1,30,4,28,1,30,1,28,2,30,3,6,1,30,4,28,1,30,2,28,1,30,1,28,1,30,2,28,4,30,2,28,6,30,1,28,4,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,6,1,30,3,28,3,30,2,28,2,30,1,6,1,13,1,30,2,6,1,30,2,28,1,6,2,30,1,6,1,29,1,30,2,6,1,30,2,6,1,30,2,28,1,6,2,30,1,6,4,29,1,30,1,29,1,6,1,29,1,13,1,6,1,30,1,13,1,29,1,13,1,7,1,6,1,29,1,6,2,30,6,28,1,30,1,6,1,30,3,28,1,30,1,6,1,30,1,28,1,6,1,30,2,6,1,7,1,29,1,6,1,7,1,6,1,30,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,30,1,6,3,30,1,6,1,30,1,29,1,30,2,28,1,6,1,29,1,30,1,28,1,30,6,29,1,28,1,6,1,30,8,29,1,30,3,28,1,16,1,28,1,30,2,13,1,6,3,30,2,29,1,28,1,6,3,30,1,6,1,30,1,13,1,30,3,28,1,30,1,28,1,30,1,29,2,28,1,30,1,28,1,6,2,30,1,6,1,13,1,30,2,6,1,30,1,13,1,30,1,13,2,6,1,29,1,30,1,6,1,30,3,6,1,30,3,28,1,30,1,13,1,6,1,30,1,6,1,29,1,28,1,6,1,30,1,28,2,6,1,30,1,29,1,6,2,29,1,30,3,29,1,6,1,30,6,6,2,28,1,6,1,30,7,28,1,30,3,29,1,28,1,30,1,6,1,28,2,6,1,30,1,7,1,30,2,6,1,30,1,28,1,29,1,30,3,28,3,30,1,28,1,30,1,28,1,30,1,17,1,8,1,28,4,30,4,28,4,30,2,28,1,30,1,28,1,30,2,28,4,30,1,6,1,30,3,28,1,6,1,30,2,28,3,30,1,28,2,30,3,28,4,30,4,28,3,30,1,28,2,30,1,29,1,30,2,29,1,28,1,30,1,29,2,30,6,28,1,30,3,29,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,6,1,30,4,28,1,29,1,28,1,30,1,28,2,29,1,28,1,30,1,28,1,30,3,28,2,29,1,30,1,6,1,29,1,30,2,6,1,28,4,30,2,28,1,30,5,6,2,29,1,28,1,6,1,7,1,28,1,7,1,30,1,29,1,30,4,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,6,2,30,2,6,3,30,6,28,1,30,4,6,3,29,1,6,2,30,1,7,1,6,1,13,1,7,1,13,1,30,1,6,1,30,3,28,2,30,3,6,1,13,1,28,1,30,1,28,1,30,3,28,4,30,1,6,2,30,1,6,1,30,1,6,1,8,1,9,1,13,1,6,1,30,1,29,1,30,1,28,1,30,2,28,3,30,1,28,1,29,1,30,1,29,1,6,1,30,1,6,1,28,1,17,1,13,1,6,2,30,1,6,1,30,3,28,3,30,3,29,1,28,25,30,1,28,1,30,1,28,1,30,2,28,1,30,3,6,1,13,2,6,1,7,1,6,1,28,25,30,1,28,5,30,1,28,2,30,1,28,1,6,1,7,1,13,1,8,1,9,1,13,1,8,1,11,1,9,1,11,1,9,1,8,1,9,1,10,1,9,2,8,1,12,1,9,1,11,1,9,1,17,2,11,2,12,1,11,3,10,1,9,2,11,2,9,1,10,1,9,1,11,1,9,1,11,3,9,1,10,1,16,1,11,3,16,1,9,1,11,4,16,1,11,1,9,1,11,3,10,1,11,1,9,4,11,2,12,1,11,1,17,2,11,2,17,1,11,1,17,2,12,1,17,1,11,1,17,1,11,1,9,2,10,1,11,3,10,1,9,1,11,1,9,2,11,1,9,2,13,1,8,1,30,2,28,1,29,1,28,1,30,1,29,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,28,4,30,2,28,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,5,30,2,28,2,30,1,28,1,30,2,28,4,30,1,28,2,30,1,28,5,30,4,6,1,30,1,6,1,28,1,6,1,29,1,6,1,30,3,6,1,13,1,28,1,7,1,30,1,29,1,6,1,30,1,6,2,29,1,6,4,30,1,6,4,7,1,30,1,6,1,7,1,6,1,13,2,6,1,29,1,7,1,6,1,13,1,6,1,30,1,13,1,28,1,13,1,6,2,13,1,7,1,13,3,7,1,13,3,7,1,13,1,7,1,13,2,6,2,13,2,30,1,13,1,6,2,30,1,6,1,30,3,7,1,6,7,7,1,13,4,7,1,13,4,8,1,13,1,8,1,13,1,9,2,10,1,12,1,9,2,12,1,9,2,11,1,10,1,9,1,11,2,12,1,17,1,11,1,17,1,12,2,17,3,10,1,17,5,16,1,17,6,16,1,8,1,6,1,30,1,29,1,30,1,6,2,13,2,7,1,6,2,30,1,29,2,6,2,29,2,13,1,30,1,7,2,29,1,7,1,13,1,7,1,13,1,6,1,7,1,6,2,13,2,8,1,9,1,17,3,11,1,17,4,6,1,13,1,6,3,29,1,30,1,6,1,29,1,30,7,28,2,30,1,28,9,30,1,28,10,30,1,6,1,28,12,13,4,6,2,7,1,6,4,13,1,8,1,9,2,13,1,30,1,29,1,30,2,28,5,30,2,28,8,30,1,28,16,30,1,28,8,30,1,28,3,30,1,28,1,30,1,28,3,30,2,28,1,6,1,28,3,30,2,28,2,30,1,28,4,30,1,28,1,30,1,28,6,30,1,28,6,30,1,28,47,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,13,30,1,28,1,30,4,28,1,30,1,28,4,30,1,28,1,30,1,28,1,29,1,13,1,28,17,10,1,17,1,9,1,10,1,11,1,13,1,29,1,30,2,6,1,28,2,30,1,28,3,30,1,28,5,29,1,30,1,29,1,6,1,9,2,17,3,9,1,28,6,13,1,9,1,13,1,7,1,30,1,28,40,30,1,6,1,29,1,28,3,9,1,17,3,9,2,8,3,13,1,16,1,11,1,17,3,13,1,28,6,16,1,13,1,28,4,30,1,28,3,30,1,6,1,28,1,7,1,6,1,30,1,28,4,30,1,28,2,}, {6,1,9,1,17,3,16,2,11,2,9,1,13,1,6,2,30,3,28,1,13,1,9,1,13,1,30,2,28,7,30,1,28,7,29,1,13,1,9,2,11,1,10,1,11,1,17,2,11,1,17,29,10,1,11,1,9,6,6,1,7,1,13,2,8,2,9,1,16,2,17,6,16,1,9,1,13,2,6,2,13,1,8,1,10,1,9,1,13,1,8,1,13,1,6,1,8,1,17,7,11,2,9,2,12,1,17,4,9,1,29,1,6,1,29,1,6,3,24,1,13,1,28,35,6,1,8,1,13,1,9,1,10,1,11,1,10,1,8,1,13,1,30,1,13,1,30,1,29,1,8,1,17,7,9,1,8,1,9,1,24,2,9,1,13,4,8,1,7,1,6,1,8,1,9,2,8,1,12,1,11,1,12,1,16,3,17,2,13,1,28,13,6,1,13,1,6,3,30,3,6,1,28,1,7,2,30,1,6,2,30,1,6,1,28,1,30,2,28,1,30,3,29,1,30,1,29,1,30,2,6,1,29,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,7,30,2,28,1,6,1,30,1,28,1,30,1,6,3,30,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,29,1,30,1,28,1,29,1,30,3,28,1,29,1,30,1,6,1,30,1,29,2,6,2,30,3,28,1,30,8,28,1,30,10,28,1,30,1,29,1,30,3,29,1,30,5,28,2,30,3,28,2,6,1,30,2,6,1,29,1,30,1,28,1,6,1,29,1,30,1,6,1,30,1,28,2,30,2,28,1,30,3,29,1,30,1,6,1,28,1,30,2,29,2,6,3,13,1,6,1,30,1,6,2,13,3,6,1,30,3,28,1,30,2,28,1,30,24,28,1,30,7,28,1,30,5,6,1,30,2,29,1,30,1,29,1,30,1,28,1,24,2,17,1,26,1,29,1,28,3,6,1,8,1,25,1,6,2,29,1,28,4,29,1,30,3,29,1,25,1,8,1,25,2,8,1,25,3,29,1,28,2,6,1,24,1,11,1,10,1,8,1,24,1,8,1,9,1,13,1,9,1,8,1,9,1,8,2,13,2,6,1,13,1,6,1,13,1,7,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,13,1,6,1,13,2,8,4,9,1,8,1,9,3,8,1,9,2,13,1,8,1,13,1,9,1,6,1,13,1,9,2,8,1,13,1,24,2,9,1,8,3,13,1,9,5,17,1,12,1,11,1,12,1,17,7,12,1,17,4,9,1,30,1,28,6,30,1,28,1,30,3,6,1,30,6,28,9,30,1,28,1,30,1,6,1,29,3,27,2,26,1,27,1,26,1,25,4,8,1,25,5,24,3,15,3,24,4,25,1,24,2,8,1,24,3,25,1,24,3,25,1,24,1,8,1,24,2,15,1,24,2,15,1,24,1,12,1,24,3,12,1,24,2,25,3,26,1,27,1,29,1,27,1,25,2,27,1,26,1,29,2,30,2,29,3,30,2,26,1,27,4,24,3,15,1,24,1,8,2,24,2,8,3,7,1,6,1,13,1,6,2,30,2,6,4,13,1,28,1,6,1,30,1,28,1,29,1,30,2,29,1,28,8,30,1,28,8,30,1,28,25,30,1,28,35,30,1,28,33,30,1,28,1,13,2,28,1,30,2,29,1,28,1,30,1,28,3,30,3,28,1,30,2,28,2,13,2,30,3,28,1,30,3,28,1,30,5,28,1,30,1,6,1,30,1,6,3,28,1,29,1,30,5,6,1,30,1,29,1,6,1,29,1,30,4,28,1,30,1,29,1,30,3,28,2,6,1,28,1,30,1,29,3,30,2,6,1,13,1,6,3,30,1,29,2,6,1,30,1,28,1,30,1,6,1,28,4,30,1,28,2,30,1,28,2,30,1,6,1,7,1,30,1,28,1,30,1,28,2,30,2,28,3,30,3,28,4,30,4,6,1,29,1,30,1,29,1,28,1,29,1,28,2,30,1,6,1,30,5,28,1,30,2,28,1,30,2,28,1,30,7,28,2,30,5,28,2,30,1,6,1,28,1,29,1,28,1,30,1,29,1,28,1,30,1,28,1,30,2,28,1,29,1,6,1,13,1,6,1,28,1,30,2,28,1,30,1,29,1,30,4,29,1,28,1,30,3,28,2,30,1,28,2,30,2,29,1,6,1,30,1,29,1,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,2,30,2,28,2,30,1,28,8,30,1,28,8,30,5,28,1,30,1,28,1,6,1,7,1,30,1,29,1,30,1,6,1,30,1,29,1,28,1,30,1,28,1,30,1,6,2,29,1,6,1,30,1,6,1,29,1,30,2,28,1,7,1,30,1,6,1,7,1,30,1,6,2,30,1,6,1,30,1,6,2,30,2,6,1,13,1,30,1,29,2,30,1,6,3,30,1,29,2,13,1,6,1,7,1,6,3,29,1,7,1,6,1,30,2,6,1,28,2,30,2,7,1,6,1,28,1,6,1,28,1,30,1,29,1,28,1,30,1,6,1,29,1,13,1,6,2,30,2,29,1,28,1,6,1,7,1,30,1,6,1,13,1,6,1,7,1,6,4,29,1,6,1,30,1,6,1,30,1,6,3,30,3,6,1,7,1,28,3,30,1,29,1,30,4,7,1,28,2,30,2,28,2,30,2,6,2,30,3,28,1,13,1,7,1,28,1,30,1,6,1,29,1,28,1,30,2,29,1,30,4,6,1,28,2,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,6,3,28,3,30,1,28,3,30,2,29,1,6,3,30,1,6,1,30,2,6,1,30,6,6,1,30,3,28,1,6,1,30,1,28,1,30,1,6,2,29,1,30,1,29,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,4,30,5,28,1,6,1,28,1,29,1,28,1,30,3,28,6,6,1,28,6,30,1,28,1,30,3,28,1,30,1,29,1,28,1,30,1,28,1,11,1,13,1,28,1,30,1,28,6,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,29,1,6,1,30,3,6,1,30,1,6,1,28,1,30,1,28,1,6,1,28,2,30,1,6,1,28,1,30,4,28,4,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,13,1,28,1,29,1,30,1,29,1,30,1,28,1,30,1,28,1,6,1,29,1,28,3,30,3,28,3,30,2,6,1,28,1,30,1,28,1,30,1,28,2,29,1,30,2,28,2,6,1,28,1,30,3,28,5,30,4,28,2,30,8,28,2,30,10,29,1,28,1,30,1,28,2,6,1,30,3,28,1,30,1,29,1,30,1,28,4,30,2,28,2,29,2,30,1,28,2,29,1,28,1,29,1,6,1,29,1,30,3,28,1,6,1,28,1,30,1,28,2,29,1,6,1,29,1,6,1,30,1,28,1,30,2,28,1,30,1,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,8,1,6,1,30,4,29,1,30,1,28,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,6,1,13,1,28,1,30,1,6,1,30,4,28,2,30,3,28,1,29,1,6,1,29,1,13,1,30,1,28,1,29,1,9,1,30,1,29,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,6,1,30,3,28,2,30,1,28,2,30,4,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,3,28,1,30,2,29,1,30,1,29,1,13,1,6,1,30,1,29,1,6,3,7,1,13,1,6,4,30,1,28,1,30,2,28,6,30,1,28,20,30,1,28,1,30,2,28,1,30,2,6,1,13,1,8,1,9,4,8,1,11,1,9,1,13,1,9,2,8,1,9,4,10,1,17,2,9,1,10,1,16,1,9,1,11,1,9,1,11,3,10,1,9,2,11,1,9,1,11,3,9,2,11,1,9,2,11,2,10,1,11,5,9,1,11,1,9,1,11,5,9,2,11,1,9,2,17,1,11,3,10,1,17,1,10,1,11,1,9,1,11,2,17,4,16,1,17,2,16,1,11,1,9,2,11,1,10,1,9,1,11,3,9,1,11,2,9,1,13,1,30,1,6,1,30,2,28,2,30,1,28,1,30,5,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,6,2,28,1,30,2,28,1,30,1,28,10,30,1,28,1,30,2,28,6,30,1,28,3,30,1,28,11,30,2,28,9,30,2,6,1,28,1,29,1,30,3,28,1,30,1,13,1,28,1,6,1,30,3,6,6,7,1,6,5,30,1,13,1,6,2,13,1,6,4,29,1,30,1,13,1,6,1,30,1,7,1,6,1,13,2,6,2,7,1,13,2,6,2,13,1,6,1,13,2,6,1,7,1,13,1,6,3,13,1,7,1,13,2,6,1,30,1,6,2,30,1,6,2,29,1,6,1,30,1,7,1,6,1,7,1,6,1,13,1,6,5,30,1,6,1,13,7,8,2,9,1,8,1,9,2,11,2,9,3,10,1,9,2,11,1,10,1,17,1,11,1,9,1,11,1,12,1,16,1,11,1,17,4,11,1,9,1,11,2,17,3,16,1,11,1,16,1,17,3,9,1,6,1,28,1,29,1,6,2,13,1,7,1,13,1,6,3,7,1,6,1,7,1,29,2,6,4,29,1,7,1,13,1,6,1,7,1,13,1,6,1,7,1,6,1,13,3,8,1,11,1,17,3,11,1,17,4,6,1,7,1,13,2,30,5,29,1,28,1,30,6,28,1,30,1,28,9,30,1,28,10,30,1,13,1,30,1,28,11,13,1,8,1,13,1,6,4,30,1,29,1,13,3,9,1,8,1,13,1,6,2,29,1,6,1,30,1,28,2,30,2,28,1,6,1,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,14,30,1,28,4,30,1,28,5,30,1,28,5,30,3,28,1,30,2,28,1,30,2,6,1,30,3,6,1,7,1,6,1,13,1,7,1,30,3,28,3,30,1,28,39,30,1,28,17,30,3,6,1,28,6,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,2,30,1,28,5,30,1,28,5,30,1,28,2,6,1,30,2,28,17,14,1,17,1,16,1,9,1,13,4,6,1,13,1,28,2,29,1,28,3,30,1,28,2,30,1,28,2,29,1,6,1,13,2,9,3,17,2,13,1,28,6,8,1,13,1,9,1,13,1,28,41,30,2,7,1,6,1,28,2,11,1,17,3,9,5,8,1,16,1,17,4,9,1,28,5,30,1,9,1,6,1,28,3,30,1,28,4,30,1,28,1,30,1,6,1,30,1,6,2,28,6,}, {6,1,8,1,17,2,11,1,17,1,9,4,8,1,13,1,7,1,6,1,28,1,30,1,28,1,29,1,9,1,13,1,6,1,30,1,28,14,6,1,13,1,7,1,8,1,9,1,12,1,17,40,11,1,13,3,6,1,13,2,11,1,17,8,16,2,9,1,13,1,6,1,13,1,30,1,8,1,16,1,9,1,13,2,9,1,13,3,16,1,17,5,16,1,8,1,12,1,9,2,17,5,8,1,6,3,13,3,24,1,13,1,28,33,30,1,28,1,30,1,7,1,13,1,8,1,9,1,8,1,11,1,9,1,13,1,6,1,13,1,6,2,13,1,17,8,10,1,9,4,8,1,30,1,6,1,13,1,6,1,28,1,13,1,8,1,13,1,9,3,10,1,11,1,16,3,17,2,7,1,28,13,6,1,13,1,6,3,29,1,30,2,6,1,30,2,6,2,29,1,6,4,30,1,6,2,30,1,29,1,30,2,6,1,30,2,29,3,6,1,29,1,6,1,30,1,28,9,30,2,6,3,30,1,6,1,30,3,29,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,2,6,2,30,1,28,1,29,1,30,2,6,1,30,3,29,1,6,1,30,2,6,5,30,1,6,1,28,1,30,1,28,1,30,1,28,1,29,1,30,4,28,1,30,1,28,3,30,5,29,1,30,1,29,1,30,2,28,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,3,6,1,30,2,28,3,6,1,30,1,28,1,30,1,6,1,30,6,29,1,30,1,29,2,30,1,28,1,30,3,6,4,30,1,29,1,6,1,13,3,6,1,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,4,28,1,30,3,28,1,30,4,6,1,30,2,28,1,30,4,28,1,30,1,28,1,30,2,28,1,30,2,28,1,6,1,30,1,29,1,28,1,6,1,30,5,29,1,30,2,28,1,6,1,9,1,24,1,6,1,30,1,28,2,30,1,6,1,25,2,26,1,6,1,30,1,28,6,29,1,28,2,25,1,24,1,25,2,8,1,25,3,6,1,30,1,28,2,6,1,8,1,17,1,11,3,9,1,8,1,9,1,13,1,8,1,13,7,6,3,7,2,29,1,6,1,13,1,6,1,13,2,7,1,13,2,9,1,10,1,8,3,9,1,11,1,9,2,8,1,9,1,8,3,13,1,9,1,8,1,9,2,8,1,9,1,8,1,10,1,8,2,9,2,8,2,9,1,12,2,11,1,17,1,12,1,17,4,12,1,17,1,12,1,17,5,8,1,30,1,28,6,29,1,30,12,28,10,30,2,6,1,29,1,27,1,26,1,27,4,26,2,25,4,26,1,8,2,24,4,15,2,12,1,15,1,24,9,15,1,24,2,25,1,24,3,25,1,24,4,15,2,24,1,12,1,15,1,12,1,24,1,15,1,24,3,25,2,27,1,26,1,27,8,29,1,30,2,29,2,27,1,29,1,30,2,29,2,25,4,24,2,8,2,24,1,13,1,6,2,29,1,28,8,30,1,28,27,30,1,28,26,30,3,28,5,29,1,28,17,30,1,28,5,30,1,28,4,30,2,6,1,30,3,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,6,1,30,1,28,1,30,3,13,1,6,1,30,3,6,1,29,1,30,3,6,1,30,2,6,1,29,1,6,1,13,2,30,2,28,1,30,1,29,1,30,3,6,1,30,1,28,2,30,6,9,1,30,1,6,1,28,1,30,4,28,2,6,1,30,3,28,2,30,1,28,1,7,1,30,1,28,1,30,2,29,1,6,1,30,1,6,2,30,1,29,1,30,2,6,1,28,1,30,4,29,1,30,2,28,1,29,1,30,2,28,1,30,1,28,1,30,2,29,1,28,1,30,1,6,1,30,1,13,1,29,1,30,4,28,1,30,4,28,1,30,1,28,5,30,1,28,1,30,2,13,1,6,1,29,1,28,1,30,4,28,2,13,1,17,1,29,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,1,6,1,29,1,30,4,29,2,6,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,7,29,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,1,29,1,30,3,6,1,29,1,6,1,28,1,30,2,28,1,30,2,28,1,30,1,6,1,30,7,29,1,28,1,30,2,29,1,6,2,28,1,30,2,28,1,30,3,28,4,30,4,28,1,30,6,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,29,1,28,3,30,2,6,1,7,1,6,1,30,1,6,2,30,3,28,2,30,2,29,1,28,2,30,1,28,2,6,1,28,1,6,1,30,1,6,1,28,1,6,2,30,1,6,2,30,1,6,1,29,1,30,2,6,2,30,1,28,1,30,3,28,2,30,1,6,1,30,1,6,3,7,1,30,1,6,1,30,1,29,1,13,2,29,1,28,1,30,1,28,3,30,4,28,1,30,1,29,1,28,1,29,1,28,1,30,1,6,1,28,1,30,3,29,1,28,1,30,2,6,1,30,1,6,1,29,1,6,3,30,1,6,4,30,2,6,2,30,2,7,1,29,2,30,1,13,1,28,1,30,1,28,1,30,2,28,2,6,1,13,1,30,1,28,3,30,3,28,1,6,1,30,6,6,1,13,1,28,1,6,1,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,3,7,1,28,2,30,1,28,9,30,1,28,1,6,1,28,3,30,1,28,14,30,2,13,1,30,1,13,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,7,29,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,5,30,6,28,1,30,1,28,1,6,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,4,30,1,6,1,30,1,28,1,30,2,28,3,17,1,28,16,30,1,28,6,30,2,29,1,6,1,30,1,28,2,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,6,30,3,28,3,30,1,28,2,30,1,28,1,30,3,28,1,30,3,28,1,6,1,30,1,6,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,2,30,2,28,1,6,1,28,2,30,4,28,2,30,1,28,6,6,1,28,8,6,1,28,1,30,1,28,1,30,2,28,1,30,4,28,1,30,3,29,1,30,1,28,3,29,1,30,1,29,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,29,1,30,2,29,1,30,2,28,1,30,4,28,1,30,2,28,4,30,1,6,1,28,1,30,2,6,2,30,1,29,1,6,1,13,1,30,4,6,1,28,3,30,1,28,1,13,1,16,1,28,4,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,3,29,1,30,1,29,1,30,1,28,1,30,1,28,2,30,1,28,3,29,1,30,6,9,1,13,1,28,1,30,1,29,1,30,1,29,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,1,30,1,6,1,28,3,30,2,28,3,30,2,28,2,6,1,30,1,29,1,28,1,30,4,28,2,30,1,6,3,30,1,6,1,13,1,6,2,13,1,6,1,30,2,29,2,30,1,29,1,28,1,30,2,28,2,6,1,28,1,29,1,28,14,30,2,28,3,30,2,28,2,30,3,29,1,13,1,8,1,9,4,11,2,9,1,8,1,9,2,11,1,9,2,10,1,17,1,11,1,9,1,11,1,9,1,11,1,9,2,10,1,11,1,9,1,11,1,9,1,13,1,16,1,9,1,10,1,9,1,11,1,10,1,9,2,11,2,9,1,11,2,9,1,11,1,9,1,11,6,16,1,9,2,11,1,9,1,11,3,9,1,17,1,10,1,11,5,12,1,11,2,12,1,10,1,17,1,12,1,17,4,11,1,17,1,11,1,9,4,11,2,16,1,10,1,11,2,10,1,11,1,13,3,30,2,28,1,30,5,28,1,30,1,28,2,30,3,28,1,30,2,28,1,30,3,13,1,6,1,28,1,30,1,28,1,29,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,14,30,1,28,1,30,3,28,1,6,1,30,3,28,1,6,1,30,1,13,1,28,2,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,3,30,1,6,1,29,1,6,3,7,1,13,3,29,1,7,1,6,2,30,1,6,1,29,1,7,1,6,2,28,1,6,3,29,1,13,2,29,1,6,2,13,1,7,1,6,1,13,2,6,1,8,1,30,1,13,2,6,1,13,1,7,1,9,1,6,2,30,1,6,1,28,1,6,1,30,1,29,1,30,2,6,1,30,1,6,1,30,1,7,1,29,1,30,1,6,2,29,1,30,1,6,1,29,2,6,1,13,1,7,1,13,2,7,1,8,1,13,2,9,1,8,1,9,5,10,1,9,5,11,1,10,1,11,4,12,1,16,1,11,5,12,1,17,1,11,1,12,1,17,1,11,1,17,1,12,2,17,3,11,1,8,1,6,1,7,1,30,1,29,1,6,1,8,2,7,1,6,6,7,1,6,3,29,1,13,1,7,1,13,1,7,1,13,1,6,2,7,1,13,1,9,2,17,1,9,1,10,1,11,2,17,5,13,4,6,1,29,1,6,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,6,30,3,28,1,30,1,28,1,30,2,28,1,30,1,29,1,30,1,6,1,28,1,30,1,28,4,30,1,28,6,13,2,6,5,29,1,13,1,6,1,8,1,13,1,9,1,7,1,13,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,2,29,1,13,1,30,1,28,1,30,2,28,2,30,2,28,4,30,2,28,1,30,2,28,10,30,1,28,8,30,1,28,7,30,2,28,1,30,1,28,1,30,1,28,2,6,1,30,1,7,1,6,1,28,1,30,2,29,1,30,2,29,1,28,5,30,1,28,2,30,1,28,6,30,1,28,23,30,1,28,25,30,1,28,10,30,1,28,4,30,2,28,6,30,2,28,2,30,2,28,3,30,2,28,1,30,2,6,1,28,16,30,1,14,1,17,1,16,1,8,2,13,1,6,2,13,1,6,1,30,1,28,1,6,1,28,1,30,1,28,5,30,1,28,1,6,2,13,2,9,1,16,1,17,3,13,1,28,6,13,1,9,1,8,1,13,1,28,42,13,1,6,2,28,2,11,1,17,2,12,1,11,1,8,1,9,5,17,4,13,1,28,5,6,1,9,1,28,6,30,1,28,4,6,1,30,1,7,1,6,1,30,2,28,5,}, {6,1,9,1,11,1,17,1,16,1,12,1,9,1,10,1,11,1,13,2,8,1,29,1,6,1,29,1,28,2,6,1,24,1,13,1,29,1,28,1,30,1,28,12,30,1,6,2,13,3,10,1,17,16,16,1,17,24,10,1,13,5,9,1,16,1,17,7,16,1,11,1,9,1,7,1,13,2,30,1,8,1,10,1,9,2,8,1,13,1,8,1,13,2,11,1,17,4,11,1,17,2,11,1,10,1,17,1,12,1,17,4,11,1,6,1,30,1,29,1,13,3,24,1,8,1,28,36,7,1,8,1,13,1,9,1,10,1,11,1,9,1,7,1,13,1,7,1,6,1,13,2,17,7,11,1,10,1,9,1,10,1,8,3,13,1,6,2,29,1,13,1,6,1,13,2,9,2,12,1,10,1,17,1,16,4,17,1,6,1,28,13,6,1,13,1,6,2,30,6,6,2,29,1,6,1,30,1,6,1,28,1,29,1,28,1,30,1,29,1,30,1,29,1,28,1,6,1,29,1,30,6,6,1,30,1,28,9,30,9,6,1,30,1,6,2,30,3,6,1,30,1,6,2,13,1,30,3,6,1,7,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,2,6,1,30,2,29,1,6,1,30,1,29,1,30,2,29,1,30,2,6,1,28,1,30,1,28,2,30,2,28,1,30,2,28,1,30,3,28,1,30,1,28,2,30,1,28,2,6,1,30,2,6,1,30,3,28,1,30,5,28,1,6,1,29,1,30,2,28,1,6,1,29,1,30,1,28,1,29,1,28,1,6,2,30,2,28,2,30,2,29,1,30,2,6,1,30,3,29,1,6,1,30,3,6,1,13,1,6,1,30,1,7,1,30,1,6,3,30,5,28,1,30,6,28,1,30,4,28,2,29,2,30,2,29,1,30,1,6,1,30,4,28,1,30,1,28,1,30,2,28,1,30,1,28,11,30,1,28,3,29,1,8,1,24,2,25,1,30,1,28,1,30,1,28,1,29,1,6,1,26,1,25,1,27,1,6,1,29,1,28,5,30,4,26,1,8,1,25,2,8,1,25,1,27,2,30,2,28,4,13,1,17,2,11,1,9,2,8,1,13,4,8,1,7,1,13,2,7,1,13,2,6,1,7,1,6,5,7,3,6,1,13,3,9,2,10,1,9,2,11,1,9,3,8,1,9,1,8,1,13,1,9,4,8,1,24,1,9,1,8,1,11,1,9,2,11,1,9,1,12,1,17,5,16,1,17,3,10,1,17,4,10,1,8,1,13,1,30,1,28,6,30,3,28,1,30,2,28,1,30,2,28,1,30,1,6,1,30,3,28,2,30,1,28,3,30,1,28,2,30,1,29,1,27,1,26,1,25,2,26,1,27,1,26,1,25,1,29,1,27,1,25,4,8,1,25,2,24,2,15,1,24,2,15,2,24,8,8,1,24,6,25,1,24,6,15,1,24,1,15,1,12,1,24,1,15,3,24,2,25,2,8,1,26,1,29,1,27,1,29,1,27,6,29,2,27,1,28,2,30,1,28,1,29,4,30,1,8,1,26,1,25,1,27,1,29,4,28,41,29,1,28,17,30,2,28,3,30,2,6,1,30,1,6,2,7,1,13,1,28,2,30,1,28,1,30,1,6,1,28,1,6,2,30,4,29,1,6,2,28,1,30,2,28,1,30,2,28,1,30,9,29,1,6,1,28,1,6,3,30,1,29,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,6,1,30,3,28,2,30,2,28,1,6,1,30,3,6,1,30,3,6,1,30,4,6,1,28,2,29,1,28,1,6,1,28,2,29,1,30,1,28,2,30,2,28,1,30,1,13,1,6,1,30,1,29,1,28,3,29,1,30,1,28,2,30,3,28,2,13,2,30,4,6,1,13,1,6,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,28,1,6,1,30,3,28,1,30,3,28,1,30,1,29,1,28,2,30,4,28,1,30,2,6,1,28,1,30,2,28,4,30,1,28,3,30,2,28,1,30,1,28,3,30,1,6,1,13,1,30,1,28,2,30,4,28,2,6,1,9,1,6,1,30,1,28,7,30,2,28,1,6,1,13,1,28,2,29,4,30,2,6,1,28,1,6,1,30,1,28,2,30,1,28,1,6,1,30,1,6,1,30,1,28,1,30,3,28,1,29,1,30,1,28,1,30,3,6,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,6,1,30,2,28,1,6,2,29,2,30,1,6,1,7,1,28,5,6,1,28,1,30,2,6,2,30,2,28,1,30,1,6,1,28,2,30,10,28,1,30,6,28,2,30,3,28,6,30,1,28,6,30,1,28,6,30,2,28,7,30,1,28,2,29,1,30,2,28,2,30,2,28,3,30,2,28,1,30,2,28,1,30,1,28,1,30,11,6,1,29,1,6,1,30,2,13,1,30,1,28,1,30,1,28,1,29,2,30,1,6,1,29,1,6,1,30,2,6,5,30,3,28,5,30,2,6,1,28,1,30,6,28,3,30,3,6,1,30,1,28,1,30,2,6,1,30,1,7,1,28,1,30,4,6,1,28,1,30,3,6,1,30,5,28,1,30,2,28,1,30,2,28,2,6,2,29,1,30,1,28,1,30,2,28,1,30,1,28,2,6,1,30,2,6,2,28,1,6,1,30,1,6,1,13,1,30,1,28,2,30,4,28,5,30,1,28,2,30,3,28,8,30,1,28,3,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,6,30,3,28,2,30,1,28,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,3,28,1,30,1,28,2,6,1,30,3,28,1,30,2,28,12,30,2,28,6,8,1,13,1,28,1,30,1,28,16,30,3,28,1,30,1,28,1,30,3,28,1,30,5,28,1,6,2,29,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,2,6,1,28,2,30,3,28,1,30,1,28,1,30,1,28,3,30,3,28,1,30,1,6,1,28,1,30,1,28,2,30,2,28,6,30,4,6,1,30,1,28,2,29,1,30,2,28,4,29,1,28,3,30,2,28,2,30,1,28,6,30,2,28,1,30,1,28,6,30,2,28,6,30,2,29,1,30,1,28,1,6,1,28,4,30,1,28,2,30,3,28,1,30,1,29,1,28,1,29,1,30,1,6,1,30,2,29,1,28,1,30,1,29,1,30,1,29,1,30,3,6,2,29,2,30,1,28,1,29,1,28,2,29,1,30,1,28,3,6,1,28,1,30,2,28,1,30,1,8,1,6,1,28,1,30,1,6,2,28,1,30,5,28,2,30,3,28,1,30,2,29,1,30,1,28,1,30,4,28,1,6,1,28,4,30,1,6,1,30,1,6,1,9,1,7,1,6,1,30,1,28,1,29,1,30,2,29,1,28,1,30,2,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,4,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,2,28,4,30,2,28,1,30,5,29,1,6,1,30,1,7,1,30,1,13,1,30,1,6,1,28,1,6,1,30,1,29,1,28,1,29,1,30,5,6,1,28,3,6,1,30,1,28,2,30,3,6,1,13,1,6,1,30,3,6,2,30,1,28,4,30,2,28,3,30,2,6,1,8,2,9,2,11,1,9,3,11,1,9,1,10,1,9,3,11,1,9,2,11,2,10,1,11,2,10,1,17,1,9,1,10,1,9,1,10,1,11,3,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,10,1,11,1,9,1,11,7,16,1,11,1,9,1,16,1,9,1,16,1,17,1,9,2,11,1,16,1,11,1,10,1,11,3,17,1,11,2,12,3,17,3,12,2,11,5,17,1,16,1,9,1,11,1,17,2,11,1,12,1,17,1,12,1,11,1,9,2,13,1,6,1,7,1,6,1,30,2,28,1,30,3,6,1,30,1,28,1,30,2,28,1,30,3,28,2,6,1,7,1,30,1,28,2,6,1,28,1,30,3,28,2,30,2,28,4,30,2,28,4,30,1,28,8,30,1,28,10,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,1,29,1,6,1,13,1,6,2,29,1,30,3,28,2,30,2,6,1,28,1,6,7,29,2,6,1,29,1,30,1,6,1,29,1,28,1,6,1,7,1,6,2,13,1,30,1,13,1,7,1,13,1,30,1,6,3,30,2,6,4,30,1,13,1,29,2,7,1,6,1,13,1,6,2,30,1,6,1,13,1,6,1,9,1,6,1,29,1,6,2,29,1,30,1,6,2,30,1,7,1,6,1,7,1,6,1,13,1,28,1,30,1,6,1,30,1,6,2,30,1,6,1,29,1,13,2,28,1,7,1,13,1,6,1,13,2,7,1,13,2,9,1,8,1,13,1,9,4,8,1,9,6,12,1,9,2,11,1,16,1,12,1,17,1,10,1,11,1,9,1,10,2,11,1,12,1,11,1,10,1,17,1,11,1,12,1,17,1,12,1,17,6,8,1,13,1,6,2,13,4,7,1,6,1,29,1,6,1,7,1,29,2,30,1,6,2,13,2,6,2,29,1,13,2,9,1,11,1,17,1,11,2,17,1,16,1,17,6,13,1,6,1,13,1,6,2,30,1,13,1,30,1,6,1,7,1,6,3,30,6,28,1,30,1,28,5,30,2,28,3,30,1,28,1,30,2,28,1,30,2,29,2,30,2,28,5,30,1,28,4,30,1,13,2,6,8,13,1,9,1,8,1,13,1,6,1,7,1,6,1,13,1,30,2,6,1,30,1,28,2,6,2,30,2,28,7,30,2,28,1,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,10,30,1,28,5,30,1,28,1,30,1,28,3,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,15,30,1,28,8,6,1,28,1,30,1,28,27,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,8,30,3,28,1,30,1,28,4,30,1,28,1,30,1,28,5,30,1,28,1,29,1,28,19,14,1,17,1,16,1,13,1,8,1,13,1,8,1,6,3,29,1,6,1,28,4,30,1,28,1,6,1,28,2,29,1,6,1,13,3,8,1,11,1,16,1,17,2,6,1,28,6,13,1,9,1,13,1,28,42,13,1,8,1,30,1,28,3,16,1,17,3,8,1,9,1,13,1,9,2,11,2,16,1,17,3,13,1,28,5,13,1,8,1,6,1,28,9,7,1,29,1,30,1,29,1,6,2,30,1,28,5,}, {7,1,6,1,11,1,12,1,16,2,11,1,9,1,11,1,8,1,13,1,6,1,30,1,6,1,30,2,28,1,7,1,13,2,30,1,28,6,29,1,28,9,6,2,13,1,6,2,13,1,9,1,17,39,11,1,9,1,13,3,8,1,11,1,16,1,17,7,16,2,9,1,8,1,6,1,13,3,24,1,12,1,13,3,7,1,13,1,8,1,17,11,11,1,17,4,9,1,7,1,6,1,7,1,30,1,8,1,9,1,8,1,13,1,29,1,28,33,29,1,6,1,13,1,6,1,24,1,11,1,9,1,16,1,9,1,13,3,7,1,6,2,17,6,16,1,10,1,12,1,16,1,8,1,9,1,11,1,6,1,13,3,6,1,30,1,6,1,13,3,12,1,9,2,10,1,9,1,11,1,16,1,17,2,7,1,28,12,30,1,7,1,13,2,6,3,30,4,7,1,30,1,6,3,29,1,30,2,6,1,30,1,29,1,6,3,30,1,6,1,28,1,30,3,28,1,30,1,28,10,29,1,6,2,13,1,6,1,29,1,6,3,30,1,29,2,28,1,6,3,30,1,6,1,30,1,29,1,6,1,28,2,30,1,29,1,30,1,6,1,30,1,29,2,30,1,6,1,30,1,6,1,30,3,28,1,6,2,30,1,6,2,29,1,30,3,6,1,30,1,29,1,30,1,6,1,28,1,6,1,28,1,6,1,30,4,28,1,6,1,28,1,30,1,6,1,30,3,29,1,30,8,28,1,30,1,6,1,28,1,30,10,6,1,30,2,6,2,7,1,30,5,6,1,29,1,30,3,28,2,6,1,30,1,6,1,30,2,28,1,30,2,6,1,30,1,6,2,29,1,6,1,7,1,13,2,6,2,30,3,28,1,30,1,28,1,30,3,28,1,30,1,28,4,30,1,28,4,30,2,29,1,6,1,28,2,29,2,28,10,29,1,30,1,6,3,7,1,8,1,24,2,8,1,9,1,24,1,8,1,24,2,8,1,29,1,28,4,29,1,6,4,29,1,28,8,30,2,26,1,8,1,25,1,8,1,25,2,27,1,29,1,28,7,30,1,9,1,17,1,11,1,8,1,10,1,9,1,8,1,13,1,7,1,13,3,8,3,13,2,6,1,13,2,6,1,7,2,6,1,13,6,9,1,10,1,9,1,10,1,9,1,10,1,12,1,11,2,9,1,8,1,9,1,11,1,9,2,8,1,9,1,8,1,10,1,9,1,11,1,9,1,10,1,9,1,17,12,14,1,17,1,10,1,8,1,29,1,30,1,28,6,30,1,28,1,30,3,28,1,30,3,6,1,30,1,29,2,30,1,29,1,28,4,29,1,28,1,30,3,28,2,30,1,26,1,25,2,26,1,25,2,26,1,25,1,27,1,8,1,24,2,25,5,24,1,15,1,24,3,15,1,12,1,15,1,24,10,8,1,24,5,25,2,24,2,8,1,24,1,15,1,24,1,15,4,24,4,25,3,27,3,29,2,27,4,29,1,30,1,27,1,29,2,30,2,28,1,30,1,27,1,30,1,29,3,24,1,8,1,30,1,6,2,28,32,30,1,28,4,29,1,28,3,30,1,28,2,30,5,28,4,30,2,28,2,30,1,28,2,30,1,6,1,30,1,28,1,30,1,29,1,30,3,6,1,30,1,6,1,13,1,6,2,28,3,30,1,28,1,6,1,30,1,29,1,30,1,28,1,30,5,6,1,30,6,28,5,30,4,28,2,6,1,13,1,30,1,28,2,30,2,28,1,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,8,6,1,30,1,29,1,30,1,6,1,30,5,28,3,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,6,6,1,30,1,28,1,30,8,28,1,6,1,8,1,9,1,8,1,7,1,28,1,13,1,7,1,6,3,30,1,6,1,30,7,28,1,30,1,28,1,30,1,29,1,30,4,28,1,30,4,28,1,30,5,28,1,30,2,29,1,28,1,29,1,28,1,29,1,28,1,30,1,28,4,30,1,28,2,30,2,28,2,30,1,6,1,13,1,30,2,28,9,30,1,28,1,30,4,6,1,28,2,30,1,28,4,13,1,28,1,30,4,6,1,30,1,29,1,30,1,28,1,30,2,28,1,30,1,29,1,28,1,30,2,28,1,6,1,30,1,28,2,30,1,28,1,30,5,28,2,30,1,28,4,30,6,28,1,30,4,28,1,30,1,6,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,4,30,2,28,4,30,7,28,1,30,4,28,2,30,1,28,5,30,1,28,1,30,1,28,18,30,1,28,1,30,2,28,3,30,3,29,1,6,1,30,2,28,1,30,1,28,7,6,2,30,1,28,1,30,3,28,1,30,2,6,1,30,1,6,1,30,1,29,1,30,3,6,1,28,1,30,2,28,1,6,1,30,2,6,1,30,1,6,1,29,1,6,1,29,1,6,1,30,2,28,16,30,1,6,1,28,1,30,3,28,3,30,1,29,1,30,4,28,5,6,1,28,2,30,2,28,1,30,2,28,1,29,1,30,1,6,1,30,4,6,1,30,4,28,5,6,1,30,1,28,2,30,1,28,7,30,2,28,1,30,1,28,1,30,1,13,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,3,30,1,28,4,30,1,28,3,30,1,29,1,30,1,28,1,30,2,28,16,30,5,28,3,30,1,28,8,30,3,28,8,30,1,28,4,30,3,28,2,30,1,28,1,30,1,28,7,30,1,28,3,30,1,28,10,30,3,28,2,30,1,28,1,6,1,16,1,28,16,30,1,28,5,30,2,28,1,30,2,28,4,30,3,6,1,30,3,28,3,30,1,28,2,30,1,28,3,30,2,28,1,30,2,28,2,30,1,28,2,30,2,28,1,30,4,28,1,30,5,28,1,30,4,29,1,28,1,6,1,28,1,30,1,28,5,30,1,28,3,30,5,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,8,30,3,28,3,30,2,28,2,30,2,28,1,30,3,28,1,30,1,28,1,6,2,28,3,30,1,28,6,30,2,28,1,30,1,28,1,30,3,28,1,29,1,28,1,30,7,29,1,30,1,28,1,6,1,30,1,29,2,30,5,28,1,30,1,6,1,30,2,28,1,30,4,29,1,13,1,6,1,29,1,30,2,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,2,28,1,30,1,29,1,30,2,28,1,30,3,28,1,30,1,29,1,30,1,9,1,13,1,29,2,6,2,30,1,28,1,29,2,28,2,30,3,29,1,30,6,6,1,30,1,28,3,30,3,28,1,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,2,29,1,30,2,28,1,30,3,28,1,6,1,28,1,30,1,29,1,30,2,28,1,6,3,13,2,6,1,7,1,30,3,29,1,30,2,28,1,30,1,13,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,5,28,1,29,1,6,1,28,1,30,1,28,12,6,1,8,2,9,3,11,1,9,2,8,1,9,3,11,3,10,1,11,3,17,1,11,2,16,1,11,1,17,1,10,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,10,1,11,3,10,2,11,3,9,1,11,2,9,1,11,3,17,1,11,2,9,1,10,3,9,1,11,3,10,1,11,1,9,1,11,1,17,1,11,1,17,1,11,1,9,1,11,1,12,1,17,4,11,1,10,1,17,1,11,1,17,9,11,2,9,4,6,1,28,1,6,2,30,3,28,3,30,2,29,1,30,1,6,1,28,2,6,1,30,1,6,2,30,2,28,1,6,1,30,2,28,1,30,1,28,3,30,1,28,1,30,4,28,3,30,2,28,3,30,2,28,4,30,2,28,17,30,2,28,4,30,1,6,3,30,1,28,2,30,4,28,1,30,1,28,1,29,1,30,1,6,3,30,2,6,2,29,1,30,1,6,1,13,1,6,1,13,2,30,1,6,2,7,1,6,1,13,1,29,1,13,1,30,1,6,1,7,1,6,3,7,1,6,3,30,1,6,3,7,1,6,3,7,1,6,1,13,1,6,1,30,2,7,1,6,1,30,1,6,1,28,1,30,1,29,1,6,1,30,3,29,1,6,8,29,1,6,2,30,1,6,1,30,1,6,1,7,1,6,1,13,1,7,1,13,2,7,1,13,3,8,1,9,1,8,1,13,1,9,5,8,1,9,2,8,1,9,3,10,1,11,1,10,1,11,1,17,1,9,1,12,1,11,1,10,1,11,1,17,1,12,1,11,1,10,1,17,1,11,1,17,1,16,1,17,6,11,1,17,1,10,1,8,1,13,1,8,1,13,1,6,1,7,1,6,1,13,1,6,2,7,1,6,3,7,2,6,1,13,2,9,1,11,2,12,1,10,1,11,1,17,2,11,1,17,6,13,2,9,1,13,1,30,1,6,1,30,1,6,3,30,1,28,1,29,1,6,1,28,3,30,1,28,2,30,1,28,3,30,1,28,9,30,1,28,2,29,1,6,1,29,1,28,2,30,3,28,3,30,3,28,2,13,2,30,1,29,1,6,1,13,1,6,1,30,1,6,1,13,1,9,2,13,3,7,2,6,1,28,1,30,3,7,1,6,1,13,1,28,1,6,1,28,1,30,1,28,3,30,1,28,2,30,2,6,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,17,6,1,29,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,4,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,3,30,2,28,2,30,1,28,5,30,2,28,2,30,1,6,1,28,12,6,1,30,1,28,3,30,3,6,1,28,13,30,2,28,3,30,4,28,1,30,1,28,1,30,1,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,2,30,1,28,2,30,1,28,4,29,1,30,2,28,16,6,1,14,1,17,1,10,1,9,1,13,1,29,1,13,1,6,1,30,1,8,1,29,2,28,9,6,1,30,1,13,1,6,1,9,1,8,1,11,2,17,2,6,1,28,6,13,1,8,1,6,1,30,1,28,41,8,1,6,1,28,4,17,3,9,1,13,1,9,1,13,1,9,1,13,1,9,2,11,1,17,3,28,6,6,1,13,1,28,10,29,1,30,1,13,1,7,1,29,1,6,1,30,2,28,1,30,1,28,2,}, {6,1,13,1,11,1,16,1,11,2,16,1,11,2,13,2,8,1,7,1,29,1,28,3,6,1,8,1,7,1,29,1,28,8,30,1,28,6,30,2,6,1,13,2,6,1,13,3,17,40,16,1,11,1,9,1,8,1,16,1,17,3,16,1,17,5,16,1,11,2,8,1,13,1,6,1,24,1,8,1,11,1,10,1,13,1,8,2,13,1,11,1,17,9,9,1,11,1,17,5,8,1,6,1,30,1,6,1,13,1,24,2,13,2,28,35,6,2,13,1,9,2,17,1,10,2,13,1,8,2,6,3,17,7,11,1,8,1,10,1,9,3,8,2,13,2,6,3,13,1,8,1,13,1,8,1,9,1,10,1,17,1,16,2,17,1,16,1,17,1,6,1,28,13,7,1,13,3,6,1,29,1,30,1,6,1,30,1,29,1,6,4,29,1,6,1,30,1,6,1,30,1,28,1,6,3,30,1,29,1,30,1,6,1,28,1,6,1,30,1,28,9,6,1,13,1,6,2,28,1,30,2,6,1,30,1,6,3,30,1,6,2,30,1,13,1,6,3,30,1,13,1,6,1,30,1,6,1,30,2,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,30,3,29,1,28,1,6,1,30,1,29,1,6,1,29,1,30,3,6,1,30,1,28,1,30,1,29,1,30,6,6,1,30,1,28,1,30,12,28,1,30,4,6,1,30,4,28,1,30,4,6,1,29,2,28,1,30,1,6,3,29,1,30,2,29,1,30,1,29,1,30,1,29,1,30,1,28,2,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,2,28,2,30,1,28,2,13,2,30,2,28,5,30,1,28,6,30,1,28,1,30,1,28,2,6,1,30,1,28,1,29,2,30,2,28,1,30,1,6,2,29,1,7,1,6,1,7,1,13,2,8,1,9,1,10,1,24,3,10,1,12,1,17,1,10,1,12,2,17,1,15,1,12,1,24,3,25,1,28,4,29,1,6,2,26,1,6,1,29,1,28,9,30,1,29,1,26,1,25,2,8,1,25,2,27,1,30,1,28,9,6,1,8,1,9,3,10,2,8,1,13,4,8,1,7,1,6,1,8,1,13,1,8,1,13,1,6,2,30,1,13,1,6,1,13,5,9,1,8,1,11,2,17,1,11,1,9,6,10,2,9,2,10,1,9,2,12,1,9,1,11,1,10,1,17,2,11,1,9,1,12,1,10,2,9,2,8,2,13,1,6,1,29,1,30,2,29,1,6,1,30,2,28,1,30,3,28,1,30,1,28,1,30,3,29,4,30,2,29,1,30,1,28,3,30,1,28,1,30,3,28,1,30,1,29,3,26,1,25,1,8,1,25,1,27,1,25,1,8,1,25,1,27,2,25,2,26,2,24,1,25,2,24,2,15,1,24,1,15,2,24,1,15,1,24,16,25,1,24,2,25,1,24,2,12,1,15,1,24,3,12,1,24,4,25,1,8,1,27,1,29,2,30,1,27,3,29,1,27,3,30,1,29,4,30,1,29,4,27,1,29,2,27,1,25,1,8,1,13,1,29,1,7,1,29,1,30,1,28,1,30,1,28,4,30,1,28,1,30,2,29,1,30,1,6,1,30,4,28,1,30,5,28,2,29,1,30,5,6,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,4,30,3,28,2,30,1,28,1,30,1,28,1,30,1,29,1,6,1,28,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,13,1,6,1,13,1,28,1,30,4,29,1,30,1,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,4,30,2,6,1,30,1,28,1,30,1,28,1,6,1,30,2,28,2,29,1,28,1,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,7,1,30,1,6,1,30,3,6,2,30,1,29,1,30,1,29,1,30,2,6,2,30,2,29,1,30,2,28,1,30,5,29,1,30,2,29,1,7,1,6,1,30,1,6,1,28,5,30,1,7,1,6,2,28,2,30,4,28,1,30,1,28,2,6,1,30,3,28,1,30,7,28,1,29,1,6,1,30,1,28,1,6,1,28,2,30,1,28,1,30,2,29,1,30,2,28,2,30,1,6,1,30,2,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,3,28,1,29,1,6,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,5,30,1,28,2,30,1,29,1,28,1,30,3,28,1,30,1,29,1,30,1,29,1,30,2,29,1,30,1,28,2,29,1,30,3,6,1,28,1,30,5,29,2,30,2,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,29,1,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,8,30,3,28,7,30,1,28,8,30,2,28,2,30,1,28,4,30,4,6,1,30,1,28,1,30,2,28,6,6,1,30,4,28,1,30,5,28,2,30,2,29,1,30,3,6,1,30,1,28,1,6,1,30,1,6,1,29,1,6,1,29,1,6,2,29,1,6,1,30,2,28,1,30,1,28,15,30,1,6,1,28,1,30,1,28,1,30,1,28,7,30,2,28,5,30,2,28,1,30,2,28,1,6,1,28,3,30,5,6,1,28,1,30,2,6,1,30,2,28,3,13,1,28,2,30,1,28,6,30,2,28,1,30,3,28,2,13,1,30,1,28,15,30,3,28,2,30,1,28,10,30,2,28,1,30,1,28,10,30,1,28,2,30,1,28,4,30,2,28,12,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,6,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,3,30,4,28,3,10,1,30,1,28,1,30,2,28,17,30,2,6,1,28,2,30,2,28,2,30,1,28,3,30,2,28,1,30,4,28,4,30,1,28,2,30,1,28,1,30,1,28,2,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,2,30,1,28,1,30,2,6,1,30,4,28,4,30,1,28,2,6,1,28,2,30,1,28,3,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,11,30,1,28,2,30,3,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,5,30,1,28,4,30,4,28,2,29,1,28,1,30,5,28,1,30,1,28,1,30,1,6,2,30,1,6,1,30,3,6,1,28,2,30,2,28,2,30,4,28,1,30,1,29,1,6,1,30,3,6,2,28,1,6,1,28,4,30,1,28,2,29,1,28,1,30,4,29,1,6,1,28,1,30,1,28,2,30,1,28,3,30,2,28,2,8,1,13,2,30,1,29,1,28,1,6,1,30,1,28,2,29,1,30,1,7,1,6,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,6,1,30,2,6,1,28,1,30,2,13,1,29,1,6,1,28,1,29,1,28,1,29,1,28,2,30,1,28,1,6,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,1,29,1,30,3,28,1,30,1,29,1,30,1,28,8,30,1,28,3,6,1,13,1,9,2,10,1,9,2,10,1,9,4,10,1,11,4,10,1,11,7,16,1,9,1,11,3,9,1,11,2,12,1,11,2,17,1,12,1,11,1,10,1,17,1,11,2,10,1,11,2,16,1,11,1,9,1,16,1,11,3,9,1,11,4,9,1,10,1,9,2,10,1,11,1,9,1,17,1,11,1,17,2,9,1,11,1,17,3,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,8,9,3,11,1,28,3,29,1,30,1,6,3,30,4,28,1,6,1,30,1,6,3,29,1,6,1,29,1,30,2,6,1,30,1,6,1,30,7,29,1,28,1,6,1,28,2,30,3,29,1,28,1,30,2,28,3,30,2,28,2,30,1,28,2,30,1,28,7,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,2,30,1,29,1,28,2,29,1,30,2,28,2,30,1,6,1,30,2,29,2,30,3,28,1,30,1,29,1,6,4,30,1,7,1,30,1,29,1,6,1,30,1,6,1,30,2,6,2,7,2,6,1,29,1,7,2,13,2,6,2,30,1,6,3,30,1,7,1,6,1,30,2,7,1,29,2,6,2,30,1,6,1,7,1,6,1,7,1,28,1,6,3,30,2,6,1,7,4,30,1,6,1,30,1,6,2,13,1,6,1,30,1,6,6,13,1,6,3,13,2,8,1,13,1,8,3,13,1,8,1,9,1,13,2,8,2,9,1,10,1,9,4,11,1,9,1,11,1,10,1,12,1,10,1,9,4,11,1,9,1,11,1,12,1,11,1,9,2,10,1,12,1,11,1,12,1,17,1,11,1,17,9,9,1,8,1,10,1,9,1,11,1,9,2,8,3,17,1,13,2,9,1,16,1,17,1,11,5,9,1,17,1,16,3,17,3,16,2,13,1,6,1,9,1,8,1,13,1,29,1,6,5,30,2,29,1,28,1,6,1,29,2,30,1,28,1,30,1,28,5,30,1,28,6,29,1,30,2,6,1,28,1,30,3,28,4,30,2,28,2,29,1,30,2,28,1,8,1,13,1,6,2,7,1,13,1,30,1,29,1,7,1,8,1,9,2,6,1,8,1,7,1,6,3,29,3,30,2,13,1,6,1,30,3,28,1,30,1,28,6,30,3,28,1,30,2,28,1,30,1,28,20,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,8,30,2,28,5,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,1,30,2,28,7,30,1,28,2,30,1,28,1,30,1,28,23,30,1,28,10,30,1,28,3,30,1,28,2,30,1,28,9,30,3,28,8,30,1,28,5,30,1,28,1,30,1,28,1,6,1,30,2,28,16,13,1,17,1,16,1,9,1,10,1,7,1,13,4,29,1,6,1,30,1,28,9,30,1,6,1,28,1,30,1,13,1,10,1,13,1,11,1,17,2,29,1,28,6,8,1,13,1,7,1,28,42,29,1,30,2,28,2,29,1,17,3,16,1,8,1,13,2,8,3,9,1,11,1,17,2,16,1,30,1,28,5,6,2,13,1,28,10,6,1,13,3,7,1,30,1,28,5,}, {30,1,13,1,10,1,17,4,11,2,8,1,6,1,13,2,28,1,29,1,28,1,29,2,8,2,6,1,28,5,30,1,28,2,30,1,28,1,30,1,28,8,6,2,13,4,9,1,17,41,11,3,16,1,17,5,16,1,17,1,16,1,17,1,8,2,6,3,10,1,9,1,11,1,8,2,9,3,11,1,17,6,16,1,11,1,17,2,12,1,9,1,12,1,17,2,9,1,30,1,28,1,6,1,13,1,8,1,13,2,9,1,30,1,28,32,30,1,28,1,29,1,13,1,6,1,8,1,9,1,11,1,16,2,8,2,13,2,6,1,13,1,17,4,16,1,17,1,16,2,10,1,9,2,17,1,9,1,24,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,8,2,13,1,8,1,9,1,10,1,12,1,11,2,17,2,8,1,28,12,6,2,9,1,6,1,7,1,13,1,6,1,29,1,30,3,29,1,6,3,29,1,6,1,30,3,6,1,28,1,6,2,30,1,29,1,30,1,28,11,6,2,30,1,13,1,29,1,6,1,30,1,13,1,30,1,6,3,30,2,29,1,6,5,30,1,13,1,6,1,13,1,30,1,6,5,30,2,6,2,30,2,28,1,6,1,30,5,6,1,30,2,6,4,30,3,29,1,6,2,28,1,30,6,28,1,30,1,28,1,30,5,29,1,30,3,28,1,30,1,29,1,28,1,30,5,28,3,30,1,28,2,6,1,28,1,30,2,28,1,30,4,28,3,30,1,28,1,30,1,28,1,30,3,28,4,30,1,28,2,30,2,6,1,28,11,30,1,6,1,30,1,28,2,29,2,30,1,29,1,30,1,6,1,29,1,6,2,29,1,6,1,28,1,6,1,29,1,7,1,8,1,13,2,24,9,10,1,12,3,17,1,12,1,17,1,24,1,12,1,17,2,24,1,15,1,12,3,17,1,12,1,15,1,12,1,24,3,26,1,29,1,28,4,29,1,7,1,6,2,26,1,29,1,30,1,28,8,30,1,28,1,27,1,26,1,25,4,27,1,28,12,30,1,9,1,17,2,11,1,12,1,9,2,24,1,8,1,13,1,24,1,8,1,7,1,6,1,13,1,7,2,6,1,13,1,7,1,13,2,8,1,13,1,10,2,11,2,12,1,11,1,10,1,17,1,11,3,12,1,10,3,9,1,11,1,9,2,11,1,17,1,12,1,17,2,12,1,13,1,29,1,7,1,30,1,6,3,7,2,13,1,29,1,28,2,6,1,30,1,6,1,29,1,30,2,28,4,30,2,28,3,29,1,30,6,29,1,30,1,28,2,29,1,30,1,28,1,30,2,29,3,27,1,25,1,26,2,25,1,27,1,25,1,26,1,25,3,8,1,24,1,25,1,26,1,25,1,26,1,29,1,24,10,25,3,24,3,25,1,24,9,25,1,24,1,25,1,24,4,12,2,15,1,24,6,25,3,27,1,29,1,30,1,27,2,30,3,29,2,30,2,29,3,27,1,29,1,27,2,26,1,25,1,24,1,8,1,24,1,13,3,6,1,28,2,29,1,30,1,7,1,6,1,29,1,30,2,29,1,6,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,29,1,28,4,30,3,29,1,28,2,30,2,28,5,30,1,28,2,30,1,28,8,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,2,30,2,29,1,28,2,30,1,6,1,28,1,6,3,28,1,30,1,6,1,13,1,30,1,29,1,28,1,30,1,6,2,30,1,28,3,30,3,6,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,6,2,30,1,28,1,30,3,29,1,30,1,28,3,29,1,28,3,29,1,30,1,28,2,29,1,30,3,6,1,30,3,28,1,30,1,6,1,30,6,28,2,30,2,28,1,30,1,28,1,30,5,28,4,30,1,28,1,30,3,6,2,30,1,7,1,13,1,6,1,28,2,30,1,6,1,30,2,29,1,28,1,30,1,29,1,28,2,30,2,28,1,6,1,30,4,29,1,30,3,28,1,30,2,28,2,29,1,30,1,28,2,30,3,28,1,30,3,6,1,30,1,7,1,28,3,30,1,6,1,30,1,28,2,30,4,28,1,6,1,30,3,28,2,30,1,28,1,29,1,6,1,30,1,7,1,29,1,30,1,28,1,30,1,28,5,30,2,28,2,30,4,28,2,30,5,6,1,28,1,30,5,28,1,30,2,28,1,30,4,28,1,30,1,28,2,30,1,28,2,30,3,28,10,30,1,28,4,30,1,28,6,30,1,28,1,30,1,28,3,6,1,30,2,28,12,30,1,28,5,30,1,28,5,30,1,28,2,30,1,28,5,30,1,28,16,30,1,28,3,30,1,28,6,30,1,28,5,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,4,7,1,29,1,28,1,30,3,6,1,28,1,6,1,30,6,29,1,30,1,6,2,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,6,2,30,3,28,3,30,1,28,15,6,1,28,12,30,1,28,3,30,1,28,1,30,2,28,2,6,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,5,28,1,30,1,28,2,11,1,30,1,28,1,30,2,28,2,30,3,28,2,30,1,28,4,30,1,6,1,28,1,6,1,28,5,6,1,28,6,30,1,28,3,30,1,28,7,30,1,28,2,30,1,28,2,30,2,28,3,30,2,28,17,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,8,30,1,28,13,30,1,28,3,30,1,28,2,30,3,28,2,30,1,28,10,30,1,28,1,30,2,28,6,16,1,28,8,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,18,30,1,28,1,30,1,28,2,30,8,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,29,1,28,5,30,1,28,1,30,3,28,2,30,1,28,2,30,1,28,5,30,1,28,4,30,1,28,2,30,1,28,10,30,1,28,10,30,1,28,7,30,1,13,1,28,2,30,1,28,1,30,1,28,2,30,1,28,6,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,5,6,2,30,2,29,1,28,1,6,1,28,1,30,2,28,2,6,1,28,1,30,1,28,1,30,2,28,1,30,2,13,1,30,5,28,12,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,8,1,11,1,29,1,8,1,28,2,30,2,6,1,29,1,28,1,30,1,6,1,30,1,28,4,30,3,28,1,30,3,28,4,30,1,28,3,6,1,30,2,28,1,30,1,28,9,30,1,28,1,6,1,28,3,30,1,28,3,30,1,28,1,30,5,28,2,6,1,30,1,28,1,30,1,29,1,28,2,30,1,28,1,8,1,28,8,29,1,28,1,6,1,28,1,30,1,28,2,30,2,28,2,30,3,28,11,29,1,6,1,13,1,8,1,13,1,8,3,9,4,11,5,16,1,17,1,16,1,11,3,10,1,9,2,11,1,9,1,11,2,9,1,11,2,10,1,9,4,10,1,11,1,9,1,11,1,9,1,10,1,11,1,16,1,11,11,16,1,10,1,9,1,11,1,9,2,11,7,17,5,16,1,17,1,16,1,17,1,16,1,17,8,11,2,10,1,9,1,28,5,7,1,13,3,6,3,13,2,29,1,30,1,6,1,7,1,6,1,28,1,6,1,29,1,30,1,29,2,6,1,30,2,6,1,30,1,28,2,30,2,29,1,30,5,28,8,30,1,28,2,30,2,28,9,30,2,28,6,30,1,28,3,29,1,28,1,30,1,29,1,30,3,28,3,6,1,30,1,28,1,29,1,6,1,30,1,28,1,6,1,30,2,28,2,30,3,28,1,30,1,29,1,28,1,30,2,6,2,30,1,7,1,6,3,7,1,13,1,6,1,29,2,13,1,29,1,6,2,7,1,29,1,30,2,13,1,6,3,29,1,6,1,30,1,6,3,30,1,6,2,30,1,7,2,6,2,29,1,30,1,6,1,30,2,29,1,13,1,29,1,30,1,7,1,30,1,6,3,7,1,29,2,6,3,30,2,13,1,29,2,7,1,29,1,13,6,8,1,13,1,8,2,9,4,13,1,9,5,8,1,9,2,8,1,11,1,17,1,9,1,11,1,9,1,11,2,9,1,11,1,10,2,12,1,10,2,12,1,11,1,9,1,11,1,12,2,11,2,17,13,12,1,17,5,16,1,17,4,16,1,11,1,17,1,11,1,17,9,13,1,29,1,28,1,13,1,6,1,28,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,29,1,30,3,28,1,30,3,28,2,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,2,6,1,29,1,28,1,30,1,28,7,30,1,29,1,6,1,30,1,6,1,9,1,13,7,8,1,11,1,9,1,8,1,29,1,8,1,13,4,6,1,13,1,6,1,13,2,7,1,29,1,28,1,30,1,29,1,30,1,28,2,30,1,28,4,30,1,28,2,30,2,28,21,30,1,28,2,30,1,28,1,30,1,6,1,28,6,30,1,28,4,30,1,6,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,3,28,2,30,1,28,3,30,1,28,2,6,1,28,26,30,1,28,11,6,1,28,1,30,1,28,8,30,5,29,1,28,1,29,1,28,3,30,1,28,3,30,1,28,10,30,1,28,1,30,1,28,17,13,1,17,1,11,1,10,1,9,1,13,1,29,1,13,1,6,1,13,1,8,1,28,1,6,1,30,1,28,4,30,1,28,4,30,1,6,2,8,1,9,2,17,2,9,1,30,1,28,6,13,1,7,1,13,1,28,42,6,1,7,1,28,3,30,1,16,1,17,2,8,2,9,1,8,3,9,1,11,1,16,1,17,2,11,1,28,6,6,1,9,1,6,1,28,9,29,1,7,1,6,1,13,2,6,2,28,4,30,1,}, {29,1,9,1,17,4,16,1,17,2,9,1,13,1,6,1,29,1,13,1,28,3,29,1,8,1,13,1,30,2,28,1,30,1,28,5,30,2,29,1,28,9,29,1,13,5,8,1,16,1,17,43,16,1,17,6,11,1,17,1,13,3,8,1,13,1,9,1,16,1,8,2,9,1,13,1,9,1,13,1,17,7,11,2,17,1,16,1,10,1,17,4,9,1,29,1,28,1,6,2,8,3,14,1,28,34,30,1,29,1,6,1,24,1,9,2,17,1,12,1,9,1,8,2,13,1,7,1,30,1,13,1,9,1,17,4,16,1,17,1,16,1,11,1,12,1,16,1,8,1,10,1,9,2,7,1,8,1,6,1,29,1,13,1,7,1,13,2,24,1,13,2,8,1,9,1,10,1,9,1,17,1,16,1,13,1,28,11,9,2,30,1,13,2,6,2,29,1,30,1,28,1,30,3,6,4,30,2,29,1,6,1,30,2,28,1,30,3,28,8,30,1,28,1,30,1,13,1,7,1,6,4,13,1,6,3,7,3,29,1,6,4,30,1,6,1,13,1,6,2,30,1,29,1,6,4,30,2,13,1,30,2,6,2,30,2,6,1,30,3,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,8,6,1,30,1,28,1,6,1,28,1,6,1,30,3,6,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,6,30,1,28,5,30,1,28,4,6,1,30,1,28,6,30,1,28,2,30,2,28,3,29,1,30,1,29,1,6,1,30,1,6,2,13,1,29,1,6,1,29,1,6,1,7,2,6,1,13,1,6,1,7,2,13,2,24,1,8,2,24,1,13,1,24,1,8,6,24,1,8,1,24,3,8,1,24,1,10,1,12,1,24,1,12,1,24,1,12,2,24,2,12,3,24,1,17,1,24,1,12,2,24,4,12,2,15,2,12,1,24,1,15,2,24,1,25,1,26,1,29,1,28,6,6,1,13,1,8,1,6,2,29,1,30,1,28,7,30,1,28,1,30,1,27,1,25,1,26,1,25,1,26,1,27,2,28,13,30,1,9,1,8,1,24,1,12,1,17,3,11,1,10,1,11,1,8,2,13,1,24,1,13,4,10,1,9,1,12,2,17,9,11,1,17,3,11,1,10,1,17,1,12,1,9,1,17,4,10,1,8,1,28,1,29,1,7,2,30,1,28,2,29,1,13,1,6,1,7,1,29,1,6,1,29,2,6,1,29,2,30,4,28,1,30,5,29,1,30,1,29,1,30,1,29,3,30,2,28,3,30,2,28,3,30,1,29,2,25,1,26,2,27,1,25,1,27,2,24,1,25,5,26,1,25,1,26,2,27,2,25,3,24,4,25,1,24,5,25,1,24,1,25,1,24,2,15,2,24,13,17,1,24,1,17,2,24,1,15,1,24,3,27,1,25,1,27,1,29,1,27,1,29,1,30,1,29,1,28,1,29,7,27,1,29,1,27,1,26,2,27,1,25,1,8,1,26,1,27,1,6,1,7,1,6,1,29,1,30,9,6,1,30,2,6,1,30,1,6,2,30,1,6,2,30,1,28,1,30,4,28,3,30,1,29,1,28,2,30,2,28,2,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,29,1,28,6,30,2,28,2,30,2,28,2,30,2,28,3,30,1,28,2,30,1,29,1,30,1,6,1,29,1,6,1,29,1,6,2,30,4,6,1,7,1,30,3,28,1,30,1,29,1,30,1,29,1,30,2,28,2,30,2,28,8,30,1,28,1,6,2,7,1,28,1,30,2,28,1,30,2,28,2,30,2,28,3,30,1,28,1,30,2,28,2,30,4,28,1,30,1,29,1,6,1,30,1,28,1,30,4,29,1,30,1,6,1,30,1,28,2,30,2,28,3,30,2,29,1,28,4,30,2,29,1,30,3,6,2,7,1,6,1,13,2,28,1,6,1,13,1,7,1,30,1,28,1,30,5,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,7,6,1,30,6,29,1,28,2,6,1,30,4,29,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,28,5,30,3,28,2,30,1,28,3,30,1,28,2,30,3,28,1,30,3,6,1,30,4,6,1,30,3,28,1,30,3,28,2,30,1,28,2,30,1,28,4,30,1,28,3,30,2,28,6,30,1,28,10,30,1,28,8,6,1,28,4,30,1,28,1,30,1,28,23,30,1,28,1,30,1,28,2,30,1,28,9,30,1,28,26,30,2,28,16,30,5,6,1,28,2,30,2,28,2,6,1,30,1,28,1,30,4,28,2,30,1,29,1,30,2,28,20,30,1,28,19,30,2,28,3,30,1,28,2,30,1,6,1,30,2,28,1,30,2,28,2,30,4,28,3,13,1,28,5,30,3,28,2,30,1,28,5,6,1,30,1,28,14,30,1,28,39,30,1,28,1,30,1,28,6,30,1,28,15,30,1,28,1,30,1,28,1,30,1,28,18,30,1,28,3,30,1,28,6,30,1,28,4,30,4,6,1,11,1,28,15,30,1,28,4,29,1,28,1,30,1,28,3,30,2,28,1,30,1,28,9,30,1,28,7,30,1,28,2,6,1,28,1,6,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,2,30,1,6,1,28,4,30,3,28,1,30,1,28,1,30,2,28,2,30,3,28,23,6,1,28,10,30,1,28,15,30,3,28,2,30,2,28,1,30,2,28,1,6,1,29,1,30,3,6,4,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,4,13,1,28,13,30,3,28,1,30,1,28,1,30,2,6,1,28,2,30,2,28,3,30,2,6,1,13,1,11,1,30,1,28,1,8,1,30,2,28,1,6,1,29,1,6,1,7,1,6,1,28,1,30,1,28,5,30,1,28,1,29,1,28,5,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,6,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,9,30,1,28,1,30,2,28,4,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,1,30,2,28,1,29,1,30,2,29,1,28,11,6,2,13,2,8,2,9,3,11,1,17,1,11,5,9,1,11,3,9,1,11,2,10,3,9,1,11,3,8,1,9,4,13,1,9,1,8,2,11,2,10,1,9,1,11,2,10,1,11,1,17,1,16,1,17,1,16,1,11,2,17,1,11,1,17,1,11,6,10,1,11,2,17,1,9,1,11,2,17,1,11,2,17,2,16,1,17,1,11,1,17,3,16,1,17,1,12,1,17,3,16,2,9,1,30,1,28,8,6,1,13,4,6,1,29,1,6,1,29,1,6,1,29,1,6,1,30,5,29,1,30,3,6,1,30,1,29,1,30,4,28,2,30,1,28,3,30,4,28,4,30,1,28,10,29,1,28,10,29,1,30,2,28,1,29,1,30,1,28,1,30,3,6,1,30,1,28,1,30,2,28,1,30,1,29,1,30,3,28,1,30,3,28,1,29,1,30,1,29,1,6,3,30,2,6,1,30,5,6,1,7,1,30,1,6,1,7,1,6,1,13,2,6,1,7,1,13,1,30,1,7,1,6,2,29,1,6,2,30,2,6,1,29,2,6,2,7,1,6,4,30,1,6,1,30,2,6,2,30,1,6,1,30,1,6,1,30,1,6,3,30,1,6,3,29,1,30,1,6,2,29,2,30,1,29,1,6,1,30,1,7,1,13,7,8,1,13,1,9,2,13,4,8,1,9,2,11,1,9,1,11,1,9,2,8,1,10,1,11,2,8,1,9,2,12,1,11,1,9,1,12,1,10,1,11,1,9,1,11,2,12,1,11,1,17,1,11,2,17,38,8,1,28,1,6,3,30,1,28,8,30,1,28,14,30,1,28,2,30,2,28,1,30,2,28,1,29,1,28,1,30,2,28,2,6,1,30,1,28,1,30,1,28,1,6,1,29,1,28,1,30,1,8,1,13,4,9,1,8,1,9,2,8,1,11,1,9,1,6,1,8,1,6,1,13,3,7,1,6,1,28,1,30,3,28,4,30,1,28,10,30,1,28,25,30,1,28,1,30,1,28,1,30,1,28,11,30,1,28,1,30,2,28,5,30,2,28,5,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,29,30,2,28,6,30,2,28,2,30,2,29,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,17,13,1,14,1,17,1,9,1,10,1,8,1,9,1,13,1,28,1,7,1,9,1,30,1,28,3,30,1,28,4,30,1,28,2,30,1,6,1,13,2,8,1,9,1,17,2,11,1,30,1,28,6,8,1,13,1,28,43,13,2,30,1,28,2,30,1,16,1,17,3,12,1,8,1,7,1,9,4,16,1,17,3,28,6,30,1,13,1,6,1,28,8,30,1,6,2,7,1,6,1,29,1,30,1,28,6,}, {13,1,10,1,11,1,17,5,16,2,9,1,29,1,13,1,28,4,30,1,6,1,7,1,28,9,30,1,28,6,30,1,28,6,13,2,7,1,24,1,13,3,11,1,17,48,11,1,16,1,8,3,13,1,8,1,10,1,9,2,8,1,9,2,10,1,8,1,16,1,17,7,10,1,12,1,11,2,12,1,11,1,17,2,9,1,30,2,28,1,30,1,13,1,8,1,9,1,11,1,29,1,28,34,30,1,6,1,8,1,12,1,24,1,16,1,17,1,9,1,13,1,7,1,13,1,29,1,7,1,13,1,16,1,17,5,11,4,8,2,9,3,8,2,13,1,28,1,13,2,9,2,8,1,13,1,9,2,11,1,16,1,11,1,9,1,17,1,13,1,28,11,6,1,13,1,28,1,8,1,13,2,6,1,29,2,30,1,28,1,29,1,28,1,6,1,30,1,29,1,6,2,7,1,6,1,30,1,6,1,30,2,28,1,30,1,28,7,30,1,28,1,6,3,13,1,30,2,6,3,13,1,30,2,6,1,13,1,6,6,7,1,6,2,28,1,6,4,28,1,6,1,13,1,30,1,13,1,6,2,30,1,6,1,30,1,29,1,6,1,30,2,28,1,30,1,6,1,30,4,13,1,30,5,28,1,30,5,29,1,28,1,30,2,28,1,30,5,28,1,30,5,28,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,6,1,30,2,29,1,6,2,29,1,6,1,13,1,6,1,7,1,29,1,7,1,6,1,24,1,7,1,13,1,7,1,6,1,7,1,13,3,8,2,13,1,8,4,24,2,8,1,24,2,8,1,24,1,8,1,24,4,8,1,25,1,24,10,8,1,24,8,12,1,24,5,12,1,24,1,15,1,24,1,12,2,24,1,12,1,15,2,12,1,24,3,12,1,24,3,12,2,24,7,25,1,26,1,27,1,29,2,28,3,30,1,28,2,29,1,6,1,25,1,26,1,25,1,6,2,29,1,28,10,29,1,27,1,25,1,27,1,25,1,27,1,29,2,28,14,7,2,6,1,29,1,13,1,8,1,12,1,17,1,12,1,17,9,12,1,10,1,24,2,8,1,24,1,13,1,8,1,24,1,8,2,13,2,9,1,24,1,8,1,9,1,12,2,24,1,8,1,24,1,8,1,13,3,29,1,28,1,6,2,30,3,28,1,6,3,26,1,27,1,6,1,29,1,30,1,29,3,30,1,29,1,6,1,29,1,30,1,29,1,28,1,30,3,29,1,6,1,30,1,28,1,30,2,28,1,6,1,29,1,30,1,6,1,30,1,29,1,30,1,28,1,30,1,29,2,27,1,26,1,25,2,24,1,8,1,25,4,24,1,25,3,8,1,25,2,26,2,25,1,8,1,24,2,15,1,24,1,12,1,24,5,25,2,8,1,24,5,15,2,24,8,12,1,24,2,15,1,17,2,12,1,24,1,12,1,24,4,8,1,25,1,27,2,29,4,30,2,27,1,29,1,30,2,29,1,30,2,29,2,27,2,25,2,8,2,6,2,7,1,29,1,28,1,6,1,30,1,28,1,30,7,6,1,30,1,28,3,30,4,28,1,6,1,28,1,30,4,28,5,30,1,28,1,30,2,28,4,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,5,30,1,28,1,30,5,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,5,29,1,6,1,30,1,28,1,29,1,28,1,30,1,6,1,30,1,6,2,30,2,29,1,30,1,6,1,30,1,29,1,28,4,30,1,28,1,30,2,28,4,30,2,28,1,30,1,7,1,30,3,29,1,30,3,28,1,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,1,30,2,28,1,30,2,29,1,30,1,29,2,30,4,29,1,30,2,29,1,30,5,28,1,6,1,30,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,6,1,30,2,28,1,30,2,13,2,7,1,30,1,6,3,28,1,30,1,6,1,28,1,6,1,30,3,28,1,30,4,6,1,28,1,30,1,29,1,30,3,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,1,6,1,30,2,6,1,28,1,6,3,30,1,6,1,28,1,30,3,28,1,6,1,30,1,6,1,30,2,28,1,6,1,7,1,30,1,28,2,30,1,28,1,30,2,28,2,30,2,28,2,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,3,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,13,30,1,28,29,30,1,28,16,30,1,28,6,30,1,28,30,30,1,28,34,30,2,28,1,29,1,30,2,28,3,30,1,28,1,29,1,30,5,28,1,30,1,29,1,28,1,30,3,28,8,30,2,28,11,6,1,28,6,30,1,28,4,30,1,28,7,30,1,28,1,30,2,28,4,30,1,28,13,30,1,28,1,9,1,7,1,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,6,1,29,1,30,1,28,5,13,1,30,1,28,1,30,1,28,17,30,1,28,5,30,1,28,4,30,1,28,42,30,1,28,2,30,1,28,17,30,1,28,19,9,1,6,1,28,7,30,1,28,4,30,1,28,5,30,1,28,10,6,1,28,6,30,1,28,1,30,2,28,9,30,3,28,1,30,1,28,1,30,3,28,3,30,1,28,1,30,2,28,8,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,20,30,1,28,5,30,1,28,4,30,1,28,18,30,1,28,7,30,1,28,4,30,1,6,1,28,1,30,3,28,1,13,2,6,1,29,1,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,5,13,1,28,2,6,1,28,9,30,1,28,5,30,1,6,1,28,2,29,1,30,1,28,6,6,1,8,1,9,1,6,1,28,1,6,1,13,1,30,1,13,1,6,1,30,1,6,1,30,1,28,3,30,1,28,4,30,1,28,1,30,4,28,4,30,1,28,1,6,1,30,2,28,1,30,2,28,2,30,1,28,2,29,1,30,1,28,5,30,1,28,13,30,1,28,2,30,1,28,16,6,1,28,1,6,1,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,29,1,30,1,28,1,13,1,7,1,29,1,28,11,7,1,13,1,8,3,9,1,8,1,11,1,17,1,11,1,9,2,11,1,9,2,11,3,9,4,11,1,9,1,8,1,13,1,8,6,13,1,6,2,13,1,6,1,7,2,8,1,13,1,7,1,8,2,9,2,17,1,16,1,17,2,16,1,11,1,16,1,12,1,11,1,9,1,12,1,11,3,12,1,9,1,11,1,17,1,10,1,11,1,12,1,11,2,17,2,12,1,17,1,16,1,11,2,17,1,9,1,11,3,9,1,11,1,10,1,9,1,6,1,30,1,28,10,6,1,7,1,8,1,9,1,13,2,7,2,13,1,29,2,30,1,6,3,29,1,30,3,28,1,30,3,28,1,30,3,28,1,30,2,29,1,30,2,28,1,30,1,28,2,30,1,6,2,30,1,28,1,30,1,28,2,29,1,28,2,30,3,28,1,30,1,28,4,30,1,28,2,30,2,28,2,30,2,28,1,6,1,28,1,6,1,30,2,6,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,29,1,30,3,28,1,30,7,6,1,29,1,6,1,30,1,6,1,13,1,28,1,30,1,6,1,30,2,6,3,30,2,28,1,30,1,6,2,13,1,6,2,7,1,6,2,7,1,6,7,30,3,13,1,6,1,13,1,30,1,29,1,6,1,30,2,28,1,6,1,30,1,7,1,29,1,13,1,30,1,6,4,30,2,6,2,29,1,30,1,6,1,7,1,6,2,30,1,6,4,7,1,13,8,8,1,9,5,8,1,9,1,8,1,9,1,13,1,9,3,11,1,9,2,11,1,9,3,10,1,9,2,11,2,10,2,12,1,11,1,12,1,17,1,11,3,17,1,10,1,17,1,11,1,17,32,13,1,6,2,7,1,13,2,7,1,13,2,28,1,30,1,28,1,30,1,28,17,30,1,28,4,6,1,28,1,13,1,6,1,28,1,7,1,6,1,13,1,6,2,30,2,28,1,30,4,13,1,9,1,13,1,6,1,13,1,8,1,13,1,8,1,9,2,11,1,16,1,8,1,13,3,7,1,6,1,29,1,6,3,13,1,6,1,28,1,30,2,28,4,30,1,28,1,30,2,28,12,30,1,28,20,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,29,1,28,1,30,2,28,7,30,1,28,2,30,1,28,8,30,1,28,7,30,1,28,22,30,1,28,8,30,2,28,7,30,1,28,1,30,1,28,1,30,2,6,1,30,2,29,1,28,7,30,1,28,13,30,1,28,18,13,1,17,2,8,1,13,1,6,1,13,2,6,2,13,1,30,2,28,8,30,1,28,1,29,1,28,1,6,1,13,1,9,2,16,1,17,1,16,1,28,7,13,1,8,1,28,43,8,1,6,1,28,4,17,1,14,1,17,1,11,1,8,1,9,3,8,1,9,1,16,2,17,2,10,1,28,6,6,1,13,1,30,1,28,8,29,1,30,2,29,1,6,1,7,1,13,1,28,6,}, {11,2,17,1,12,1,16,3,17,1,16,1,9,1,13,1,8,1,13,1,6,1,30,1,28,3,8,1,7,1,6,1,30,1,28,9,30,2,28,2,6,1,8,1,13,2,29,1,28,4,30,1,6,1,7,1,13,2,9,2,24,1,11,1,17,11,16,2,17,31,16,1,17,2,9,2,13,1,8,1,13,2,11,1,17,1,8,1,10,1,9,1,8,1,9,1,6,1,11,1,17,6,16,1,9,2,11,1,17,5,11,1,6,1,29,1,6,1,29,1,7,1,8,1,9,1,24,1,29,1,28,35,7,1,8,2,9,1,11,1,17,1,9,1,13,1,8,1,7,1,29,2,6,1,17,5,16,1,17,1,16,1,11,1,13,1,8,1,9,3,8,1,13,2,8,1,6,1,13,1,7,1,13,1,8,1,9,1,8,1,11,1,17,1,11,2,16,1,17,2,13,1,28,13,30,1,8,1,13,2,30,1,6,1,29,1,30,3,6,1,30,1,6,2,30,4,29,1,28,1,30,1,28,9,30,1,6,1,13,1,6,2,30,2,13,2,6,2,30,1,6,2,13,1,6,4,7,1,29,1,13,1,6,3,30,1,6,1,30,1,6,1,30,4,28,1,29,1,28,1,6,1,28,1,30,10,6,2,30,2,6,1,30,5,28,1,30,2,6,2,28,2,30,1,28,2,30,1,29,1,6,1,29,2,7,1,29,1,7,1,13,2,7,1,13,4,7,1,24,1,8,1,13,1,8,3,24,1,8,1,24,1,8,1,24,6,12,2,24,1,10,1,12,1,24,1,12,2,24,2,12,2,24,3,12,1,24,17,12,1,24,10,12,1,24,9,15,2,24,2,15,1,24,20,8,1,25,1,27,1,25,1,27,3,29,1,30,1,28,4,30,1,28,2,29,1,26,1,27,1,29,1,8,2,6,1,29,1,30,1,28,9,29,1,6,1,27,2,29,1,26,1,27,1,29,1,30,1,28,14,6,1,13,1,6,1,25,1,6,2,7,1,8,1,12,1,24,1,12,3,10,1,9,1,13,1,24,1,13,1,8,1,6,2,24,1,8,2,6,1,8,1,7,1,13,1,8,2,24,4,25,1,8,1,24,2,8,4,6,1,29,1,30,1,29,1,28,1,30,3,29,1,6,1,26,3,27,4,29,2,6,2,29,1,30,2,29,1,28,1,30,3,28,1,30,1,28,3,30,1,29,1,30,2,29,1,28,1,29,1,30,1,29,2,30,1,27,1,29,1,27,2,25,1,8,1,25,1,8,2,25,1,8,1,24,1,27,1,25,2,24,1,25,2,24,2,25,2,24,12,25,1,24,10,8,1,24,8,12,2,24,1,17,1,12,2,24,1,15,1,24,3,8,1,27,4,30,1,27,1,29,5,30,1,27,1,29,2,27,2,29,1,27,1,26,1,25,2,8,1,25,1,26,1,7,1,29,2,30,2,6,1,30,2,6,1,28,1,30,1,28,2,30,2,28,1,30,4,29,1,6,1,30,3,29,1,30,1,29,1,30,4,28,1,30,1,28,4,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,4,30,1,28,1,30,2,6,1,28,8,30,1,28,5,30,1,28,5,29,1,28,2,30,1,6,1,30,7,28,1,30,1,28,1,29,1,13,2,29,1,30,1,28,1,30,6,28,1,30,3,28,1,6,1,28,2,30,2,28,3,29,1,28,1,6,2,28,1,30,3,29,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,1,30,2,28,1,30,3,29,1,28,1,6,3,30,1,29,2,30,1,28,1,30,2,28,1,30,2,28,2,30,2,29,1,28,2,6,1,28,1,30,1,28,1,30,5,28,2,6,1,13,1,9,1,6,1,7,1,6,1,28,2,30,1,6,1,30,2,28,1,30,4,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,6,1,28,1,30,1,28,2,30,2,6,1,28,1,30,3,6,2,28,1,29,1,6,1,28,1,6,1,28,1,30,6,6,1,30,2,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,4,30,1,28,6,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,6,30,1,28,33,30,1,28,15,30,1,28,73,29,1,30,2,28,1,30,4,28,1,30,9,6,1,28,1,30,1,28,1,6,1,28,22,30,1,28,5,30,1,28,5,30,1,28,7,13,1,28,1,30,1,28,5,30,2,28,6,30,1,28,1,30,1,28,1,30,1,28,2,13,1,6,1,28,6,30,1,28,1,30,1,28,2,30,1,28,3,13,1,28,7,30,3,28,21,30,1,28,91,13,1,9,1,28,34,30,1,28,13,30,2,28,2,30,1,28,23,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,11,30,1,28,15,30,1,28,14,30,1,28,12,30,1,28,5,30,2,28,2,30,1,28,3,30,4,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,9,30,1,6,1,30,2,28,11,30,2,28,3,6,3,30,2,6,1,28,3,30,1,28,1,30,1,13,1,9,1,30,3,6,2,29,1,9,1,13,1,6,1,30,3,28,9,30,1,28,14,30,1,28,2,30,1,28,5,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,26,30,3,28,9,30,1,6,2,13,1,9,1,10,1,8,1,17,1,10,1,9,1,11,1,9,1,10,1,9,1,11,1,9,4,13,1,10,1,8,1,9,1,13,3,6,1,13,2,8,1,13,1,7,3,6,4,29,2,30,1,6,1,7,1,6,2,7,1,30,1,13,1,11,1,16,1,17,2,12,1,16,1,17,1,10,1,11,4,9,1,12,1,11,1,9,1,11,3,17,2,12,1,11,4,16,1,11,1,10,1,11,1,12,1,11,3,16,1,10,1,13,1,30,1,28,10,30,1,28,3,30,1,6,1,13,1,11,1,8,3,29,2,30,1,13,1,6,1,29,1,30,2,6,1,30,4,28,1,6,1,30,3,6,1,30,3,28,1,30,2,28,1,30,3,28,3,30,1,28,2,30,1,28,2,6,1,30,2,28,5,29,1,28,4,30,1,28,1,6,1,28,2,30,1,28,1,30,3,6,1,30,1,29,1,6,1,29,1,30,1,28,1,30,1,6,1,30,1,29,1,30,2,28,1,6,1,28,2,30,1,6,1,30,4,6,3,30,5,6,1,30,3,29,1,6,1,7,1,6,1,29,1,30,1,29,1,6,2,30,1,6,3,29,1,30,1,29,1,6,1,29,1,6,2,29,1,6,2,29,1,30,1,13,1,29,1,6,1,29,1,30,1,6,1,13,1,6,1,29,1,13,1,6,2,13,1,6,2,30,1,29,1,6,4,29,1,6,4,29,1,13,1,30,2,6,2,13,1,6,1,13,6,8,1,13,1,9,2,13,2,9,1,13,2,9,5,17,1,9,2,16,1,9,4,10,1,9,1,10,1,9,1,16,1,10,2,17,1,11,1,12,1,11,1,16,1,17,2,11,2,12,1,17,1,12,1,17,31,16,1,8,2,9,4,10,2,9,1,13,3,30,1,28,2,30,1,28,13,30,1,6,1,30,1,28,3,30,2,28,4,30,4,28,1,30,1,28,1,30,1,28,1,30,1,13,1,9,1,13,1,8,1,13,2,9,1,13,2,8,1,9,1,10,1,13,1,8,2,13,2,7,1,6,1,30,1,6,1,7,1,30,1,28,1,29,1,28,5,30,1,28,34,30,1,29,1,28,1,30,2,28,6,30,1,28,6,6,1,28,6,30,1,28,1,30,1,28,2,30,1,28,8,30,1,28,11,30,1,28,4,30,1,28,2,30,1,28,16,30,1,28,6,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,4,30,6,28,4,30,1,28,1,30,1,28,9,30,2,28,4,30,1,28,19,9,1,14,1,17,1,9,1,13,2,6,1,13,1,29,1,13,1,30,1,6,1,28,12,6,1,8,2,13,1,10,1,17,2,9,1,28,7,9,2,30,1,28,41,30,1,13,2,6,1,28,3,17,3,16,1,13,1,9,2,8,1,9,2,11,1,16,1,17,2,8,1,28,5,30,1,13,2,28,9,13,1,30,1,7,1,28,1,6,2,13,1,30,1,28,5,}, {12,1,17,3,11,1,17,1,9,1,16,2,11,1,9,1,13,1,6,1,30,1,28,3,30,1,8,1,9,1,13,1,29,1,28,5,30,1,28,8,9,1,11,1,9,1,24,1,6,1,28,4,30,1,29,1,13,2,8,1,9,1,24,1,13,1,8,1,9,1,17,17,16,1,17,25,16,2,9,2,8,1,13,3,10,1,9,1,24,1,9,1,11,1,13,1,10,2,11,1,17,6,11,1,9,3,12,1,11,1,17,3,16,1,6,1,30,1,7,1,6,1,7,1,13,1,8,2,6,1,28,34,30,2,13,1,24,2,9,1,17,1,9,1,8,1,13,2,29,1,7,1,6,1,12,1,17,4,16,2,9,1,11,1,9,1,11,1,9,2,10,1,8,1,13,1,9,1,13,2,6,1,13,1,8,1,13,2,8,1,11,1,10,1,17,5,13,1,28,14,6,1,9,1,13,1,6,2,30,5,6,1,29,1,30,2,28,12,30,1,6,1,28,1,6,1,8,2,13,1,6,6,7,1,6,2,29,1,13,2,6,1,13,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,28,1,6,1,30,2,28,1,6,1,28,1,30,5,28,1,30,3,28,2,6,1,13,1,6,2,30,1,13,1,30,1,6,1,30,1,6,3,29,1,6,5,30,1,6,2,13,2,7,1,8,1,25,2,8,1,24,11,12,2,24,1,12,1,24,5,12,1,24,1,12,2,24,8,12,1,24,1,12,1,24,28,12,1,24,4,12,1,24,2,12,1,24,15,8,1,24,10,26,1,27,2,29,2,30,1,27,1,30,1,27,1,29,1,30,1,28,4,30,1,28,5,27,1,25,1,8,1,25,2,26,2,29,2,28,11,6,1,27,1,29,2,26,1,29,1,6,1,28,15,30,1,7,1,26,1,27,1,26,1,25,1,8,1,25,1,8,1,25,1,8,1,25,2,8,1,24,2,25,1,8,1,26,1,25,1,8,2,24,1,8,1,12,1,24,1,8,2,24,3,12,1,24,4,8,1,24,1,8,1,7,1,29,3,28,1,30,1,29,1,30,1,28,1,29,1,6,1,26,3,27,5,29,1,27,1,30,1,29,2,30,1,29,2,28,1,30,1,28,2,30,3,28,1,29,1,30,8,29,2,27,3,26,1,25,1,26,1,25,1,24,1,8,1,24,2,25,1,24,1,25,1,26,2,25,2,8,1,25,1,24,2,15,1,12,1,24,2,17,2,15,1,24,1,12,1,15,1,24,16,25,1,24,2,12,2,24,3,12,2,15,2,24,1,15,1,24,3,25,1,27,1,25,1,30,1,27,2,29,3,30,1,29,2,30,1,29,1,27,2,29,1,27,1,29,2,27,1,25,2,24,1,8,1,26,1,7,1,30,1,6,1,29,1,28,1,29,1,13,1,29,1,28,1,30,4,6,4,28,1,30,3,28,1,30,2,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,9,30,1,28,1,30,1,28,6,30,1,28,2,30,1,6,1,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,30,4,28,1,30,1,28,3,30,1,6,1,13,1,30,1,29,1,6,1,30,1,6,1,30,3,28,2,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,13,1,30,4,28,4,30,2,28,2,30,1,7,1,6,1,29,1,30,1,28,1,30,8,29,2,30,2,28,2,30,5,28,2,30,5,28,1,6,1,28,1,30,2,28,3,30,1,28,2,30,2,28,1,6,1,30,1,29,1,16,1,28,1,30,2,28,3,30,1,28,2,30,5,28,1,30,2,28,1,30,1,28,4,6,1,28,1,30,4,28,1,30,4,28,6,30,1,28,1,6,1,28,1,30,1,6,4,28,1,30,3,28,1,30,1,28,2,30,1,28,2,30,1,7,1,30,2,28,4,30,1,28,9,30,1,28,17,13,1,30,4,28,48,30,1,28,17,30,1,28,67,30,1,28,3,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,6,1,30,5,28,1,6,1,30,1,28,1,6,1,29,1,28,22,30,2,28,13,30,1,28,4,30,1,28,5,30,1,28,4,30,2,28,1,30,1,28,2,30,1,28,5,30,1,28,5,30,1,28,10,29,1,28,7,30,1,28,12,30,1,28,13,30,1,28,1,30,1,28,86,30,1,10,1,28,76,30,1,28,8,30,1,28,52,30,1,28,15,30,2,28,5,30,1,28,5,30,1,6,1,28,3,30,2,28,1,30,1,6,1,28,2,30,3,28,1,30,1,28,5,6,1,28,1,13,1,6,1,28,18,6,1,30,1,28,4,30,2,28,2,9,1,13,1,30,1,13,1,6,1,28,1,30,1,28,1,6,2,30,1,28,9,30,1,28,19,30,1,28,22,30,1,28,1,30,3,28,1,30,1,28,9,30,2,28,28,30,1,28,11,30,1,13,2,8,1,17,1,9,2,13,1,9,1,8,1,9,2,13,1,8,1,13,1,8,2,9,1,8,1,13,3,7,1,6,1,7,1,6,6,29,1,6,1,30,2,6,1,30,1,6,3,29,2,6,1,29,1,6,1,7,1,13,1,10,1,11,1,17,1,16,1,17,1,12,1,17,1,11,1,10,1,11,1,10,1,11,1,10,1,12,1,11,5,17,1,11,4,10,1,11,1,10,1,11,4,9,1,13,2,30,1,28,19,30,1,13,3,6,1,7,1,6,1,30,2,28,1,30,3,28,1,6,2,28,1,6,1,30,2,28,2,29,1,30,1,6,1,28,3,29,1,28,1,30,3,28,2,29,1,30,1,28,1,30,1,28,2,6,1,28,3,30,3,28,8,29,1,28,1,30,3,6,1,29,1,6,2,30,5,28,2,30,1,29,1,30,4,28,1,6,1,28,1,30,2,28,1,30,1,28,1,7,1,6,1,28,1,30,1,6,3,30,3,6,2,29,1,6,2,30,1,29,1,6,2,13,1,6,1,7,1,6,2,7,1,13,1,6,6,29,2,30,1,6,3,13,1,6,1,28,1,30,1,6,1,30,1,6,4,28,1,6,1,7,1,30,1,29,1,6,1,29,1,30,1,29,2,30,1,29,2,30,1,6,3,13,1,6,1,13,1,7,3,13,4,8,1,13,2,8,1,13,1,9,2,13,1,8,1,9,1,8,1,9,1,11,1,8,1,13,1,9,1,8,1,10,1,11,1,10,1,8,1,11,1,9,3,11,1,9,1,10,1,11,1,12,1,11,1,12,1,10,3,12,1,16,1,17,2,12,1,17,35,11,2,9,1,11,2,12,1,17,1,12,1,17,1,11,1,10,1,11,1,9,2,8,1,13,2,8,1,13,3,7,1,6,2,30,3,28,1,30,1,6,1,13,3,28,2,30,1,6,1,28,16,9,1,17,1,10,1,30,1,13,1,6,3,13,1,9,1,11,1,10,1,9,1,11,2,13,3,30,1,13,1,29,1,30,1,28,2,6,1,28,1,30,2,28,8,30,1,28,7,6,1,28,3,30,1,28,7,30,1,28,9,30,1,28,15,6,1,28,24,30,1,28,5,30,1,28,1,30,2,28,8,30,1,28,1,30,2,28,15,30,1,28,3,30,2,28,7,30,1,28,2,30,1,28,4,29,2,28,6,30,1,28,1,30,1,28,9,29,1,28,23,9,1,17,1,11,1,12,1,11,1,13,3,6,1,13,2,30,1,28,1,30,2,28,7,30,1,28,1,13,1,9,1,8,1,13,1,10,1,16,1,17,2,28,7,17,1,6,1,30,1,28,41,6,1,13,1,7,1,6,1,28,2,7,1,17,3,16,1,9,2,8,2,9,2,11,1,16,1,17,2,13,1,28,6,7,1,6,1,30,1,28,9,6,1,30,1,6,2,30,1,7,1,28,6,}, {9,1,12,1,11,1,17,1,11,1,16,2,11,1,10,1,13,1,9,1,7,1,13,2,28,3,30,1,8,1,10,1,8,1,6,1,28,14,13,1,9,1,11,1,9,1,17,1,9,1,29,1,28,3,6,1,7,2,8,1,24,2,13,1,24,1,9,1,8,1,13,1,11,1,17,41,11,2,8,1,13,1,8,1,7,2,11,1,9,1,11,1,9,2,11,1,8,1,9,2,17,7,11,1,9,1,17,1,9,1,11,1,17,3,8,1,13,1,30,2,7,1,13,1,6,1,8,2,6,1,28,33,30,1,28,1,30,1,8,2,11,1,9,1,11,1,9,1,8,1,13,1,8,1,7,1,6,1,28,1,17,6,16,2,11,1,9,1,8,1,9,1,8,1,9,2,8,3,13,1,7,1,13,1,8,1,9,1,8,2,9,2,17,1,12,1,17,3,13,1,28,14,13,1,16,1,13,3,6,1,30,2,6,1,30,1,6,1,30,3,28,9,30,1,28,1,6,3,7,1,6,1,17,2,13,2,29,1,13,1,6,1,13,4,6,1,7,1,13,1,6,1,13,2,30,1,13,1,6,1,13,2,6,1,13,2,30,1,6,1,30,2,29,1,30,2,6,1,30,4,6,1,30,2,6,1,30,3,29,1,6,1,29,1,30,4,6,1,30,5,6,5,30,3,6,2,24,1,8,3,24,3,12,1,24,9,12,1,24,9,12,1,24,13,12,1,24,11,15,1,24,19,12,1,24,3,15,1,24,16,8,1,25,2,26,2,27,1,29,1,26,1,27,1,26,1,27,1,30,1,29,1,30,1,27,1,30,1,29,1,30,3,28,1,30,1,29,1,30,1,28,5,29,2,27,1,25,1,26,1,25,2,27,2,29,1,30,2,28,10,30,1,29,2,6,1,29,1,28,2,29,1,30,1,28,15,6,1,26,2,27,1,24,1,25,2,24,1,25,1,8,3,25,1,26,1,24,1,8,2,25,1,26,1,8,1,24,4,8,2,24,6,8,1,27,1,30,2,28,5,29,1,28,4,29,1,7,1,6,1,27,1,29,1,27,4,29,1,27,1,29,1,27,1,29,1,27,1,29,1,27,1,29,2,30,3,29,1,30,1,29,1,6,1,29,1,28,1,30,3,28,1,29,1,28,1,30,1,27,2,25,2,26,1,25,1,26,1,8,1,24,2,25,1,24,1,25,1,24,2,25,1,24,1,25,4,24,3,15,2,12,1,17,1,15,1,12,1,24,1,12,1,24,14,8,1,24,3,8,1,24,1,25,1,24,4,15,4,12,1,15,1,24,3,8,1,25,1,8,1,27,1,30,1,25,1,29,4,27,1,30,1,29,2,27,4,29,1,27,1,25,4,8,1,24,1,6,1,13,1,29,3,28,1,30,1,6,2,29,1,30,2,28,1,6,5,28,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,29,2,30,1,28,4,29,1,28,2,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,13,30,2,28,1,30,1,28,2,30,1,28,2,6,1,30,5,6,1,30,2,29,1,28,1,30,1,28,1,30,2,6,1,29,1,6,1,29,1,30,2,28,1,6,1,28,1,29,1,28,1,30,1,28,2,30,1,28,4,30,3,28,1,30,1,28,1,6,2,30,1,28,6,30,1,28,1,30,1,28,1,30,1,29,1,6,2,29,1,28,1,30,1,28,1,30,1,29,1,30,2,28,2,30,3,6,1,30,2,6,1,28,1,30,3,28,7,30,1,6,1,30,1,28,1,30,1,28,5,30,3,28,1,30,1,28,1,30,1,10,1,6,1,9,1,11,1,30,1,28,1,30,1,28,3,30,1,28,3,30,2,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,4,13,1,28,2,30,2,28,8,30,1,28,27,30,1,28,2,30,1,28,6,30,1,28,53,6,1,28,82,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,3,6,1,30,2,28,1,30,1,28,1,30,1,6,1,30,1,28,55,30,1,28,5,30,1,28,1,30,4,28,1,6,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,5,6,1,30,1,28,20,30,1,28,102,16,1,28,44,30,1,28,1,30,1,28,28,30,1,28,8,30,1,28,51,30,1,28,18,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,10,30,1,28,5,30,1,13,1,28,18,6,1,28,5,30,1,28,2,13,1,8,1,28,1,30,1,28,1,30,1,6,1,28,1,6,2,28,2,30,2,28,2,30,1,28,8,30,1,28,2,30,1,28,24,30,1,28,1,30,1,28,7,30,1,6,1,28,1,6,1,29,2,28,55,29,1,6,1,10,1,9,1,8,3,13,2,8,3,9,1,8,1,13,1,6,1,29,1,30,1,28,2,29,1,28,1,30,1,29,1,30,1,29,2,6,1,29,3,30,7,29,1,30,1,7,1,29,1,6,3,30,2,6,1,9,2,10,1,17,1,16,1,12,1,16,1,11,1,16,1,11,1,17,1,12,1,11,1,17,4,11,3,9,2,11,3,10,1,8,1,13,1,6,1,29,1,30,1,28,10,30,1,28,1,30,1,28,11,13,2,6,1,30,7,28,1,30,5,6,1,30,2,29,1,30,2,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,2,6,1,29,1,30,1,28,6,30,1,28,2,30,1,28,4,30,3,29,1,30,1,29,1,6,1,30,3,28,1,30,2,29,1,28,1,30,1,6,1,28,1,30,2,6,1,29,1,30,1,28,1,30,3,28,2,30,2,6,1,30,2,29,1,30,2,29,1,6,1,30,1,13,2,30,1,6,1,29,1,6,1,29,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,6,3,7,1,13,1,6,3,30,1,6,1,13,1,6,1,30,1,6,1,30,1,7,1,6,1,7,1,30,1,6,1,13,1,7,1,6,1,30,1,6,3,30,1,29,1,6,1,29,1,30,1,6,1,29,1,6,1,30,1,6,3,7,1,6,1,13,2,7,2,6,1,7,1,13,3,7,1,13,1,7,1,9,1,13,1,8,1,9,1,8,1,9,1,13,1,9,4,8,1,9,3,10,1,9,1,10,1,11,1,9,1,10,1,9,1,11,1,10,1,11,2,12,1,11,1,12,1,11,1,12,1,17,36,11,1,9,1,10,1,9,1,11,2,17,1,12,1,11,1,17,2,12,1,11,1,10,1,11,1,10,2,8,1,9,2,13,1,9,1,13,4,6,1,30,2,13,1,8,1,6,1,13,1,28,1,30,2,6,2,30,2,28,1,30,2,28,1,30,1,28,7,30,1,8,1,17,1,13,1,30,1,28,1,30,2,6,1,30,2,28,1,6,1,28,1,30,5,6,3,30,2,28,2,29,1,28,5,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,1,29,1,28,3,30,2,28,6,30,1,28,25,30,2,28,10,30,2,28,7,30,1,28,6,30,3,28,12,30,1,28,3,30,1,28,16,30,1,28,1,30,1,28,1,30,1,28,7,30,2,28,4,30,3,28,1,30,2,28,8,30,1,28,4,30,4,28,22,8,1,17,1,12,1,9,1,8,2,13,3,29,1,6,1,13,1,30,1,28,9,30,2,28,1,30,1,8,1,9,1,11,1,16,1,17,1,16,1,28,7,16,1,13,1,7,1,28,41,6,1,8,1,13,1,6,1,28,1,29,1,6,1,17,3,11,1,8,1,9,1,13,1,9,2,8,1,9,1,17,3,13,1,28,6,8,2,30,1,28,8,30,1,6,1,30,1,13,1,6,1,7,1,28,7,}, {8,1,24,1,17,3,9,2,11,1,8,1,11,1,13,1,6,1,8,1,6,1,8,1,24,1,6,2,13,1,17,1,9,1,29,1,28,13,29,1,13,1,8,1,9,1,8,2,10,1,9,1,13,1,6,1,28,2,30,1,28,1,30,1,28,1,8,1,7,1,8,1,9,2,8,3,17,14,16,1,17,26,11,1,9,1,8,1,6,2,13,2,16,1,9,1,8,1,11,1,8,1,9,1,10,1,8,1,17,6,11,1,13,1,9,2,11,1,9,1,17,3,9,1,13,1,28,1,6,1,7,1,6,1,8,1,13,1,8,2,28,35,30,2,24,1,13,1,16,1,11,2,13,2,7,1,6,1,29,1,28,1,11,1,17,6,16,1,17,1,9,3,11,1,9,1,8,1,13,2,7,1,13,1,6,1,13,2,8,1,9,1,8,1,9,1,8,1,11,2,17,3,8,1,28,14,30,1,11,1,9,1,13,1,6,3,30,1,28,1,6,1,30,2,28,4,30,1,28,1,30,1,6,1,30,3,7,1,13,1,30,1,13,1,30,1,7,1,6,1,13,1,8,1,13,8,8,1,13,7,6,1,7,2,13,2,6,2,30,2,6,1,30,1,6,1,30,1,13,1,28,1,29,1,30,2,6,5,30,2,6,3,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,2,30,1,6,1,30,2,6,3,30,2,13,1,10,1,24,5,15,3,24,1,12,1,24,2,12,1,24,1,12,1,24,2,12,1,24,2,12,1,24,6,12,1,24,2,15,2,24,5,15,2,24,1,15,1,24,6,8,1,24,1,25,1,24,22,25,1,24,2,25,1,24,1,25,3,24,2,25,1,24,6,8,1,25,1,26,1,25,1,27,5,29,7,28,2,30,1,28,3,29,1,28,1,29,1,30,2,28,3,30,1,28,1,27,2,25,3,24,2,25,1,26,1,29,1,30,1,28,1,30,1,28,10,29,2,30,3,28,3,30,1,28,14,29,1,26,3,27,1,25,2,8,3,25,3,8,2,24,1,8,1,25,1,24,1,8,2,24,2,25,1,24,7,8,1,25,1,27,1,30,1,29,1,30,1,29,1,30,1,28,6,30,1,6,1,26,2,29,1,27,1,26,1,27,4,29,1,27,1,29,1,27,3,29,1,6,1,29,1,30,1,29,5,30,3,29,1,30,3,29,3,27,2,29,1,8,1,26,1,24,7,25,1,24,1,25,1,24,1,27,1,25,1,26,1,25,1,26,1,24,2,15,2,24,2,15,1,17,1,12,1,24,4,12,1,24,15,25,2,27,1,25,1,24,1,12,1,24,1,17,4,15,4,24,1,8,1,25,2,27,3,30,1,29,1,27,1,29,1,27,1,29,1,27,2,29,2,27,3,26,2,25,2,8,2,6,3,29,1,28,1,30,1,28,1,30,1,28,1,29,2,30,4,29,1,6,2,30,2,28,1,29,1,28,1,30,1,28,1,30,2,28,7,30,2,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,1,6,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,30,2,28,2,30,1,28,1,30,1,28,4,30,1,29,1,28,2,30,2,28,1,30,6,28,3,30,2,6,2,30,4,28,2,30,1,6,3,30,1,6,1,30,2,29,1,28,1,30,2,28,1,30,4,6,2,30,5,28,1,30,1,29,1,13,1,6,1,29,1,28,2,30,2,28,1,30,3,28,1,30,1,28,1,6,1,28,3,6,2,30,1,29,1,30,3,28,1,30,1,28,3,30,1,6,1,30,2,28,1,30,1,28,8,30,1,28,1,30,1,28,12,30,1,6,1,9,2,6,1,8,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,7,30,1,28,9,30,2,28,5,30,1,28,3,30,1,28,6,30,1,28,4,30,1,28,6,30,1,28,36,6,1,28,55,30,1,28,21,30,2,28,59,30,1,28,1,30,3,28,1,30,4,28,2,30,1,28,1,29,1,28,1,30,2,28,1,13,1,30,1,28,27,30,2,28,1,30,1,28,18,13,1,9,1,13,1,9,1,7,1,28,10,30,1,28,2,30,1,6,1,30,1,28,5,30,1,28,3,30,1,28,5,30,1,9,1,28,8,30,1,28,17,30,1,28,7,30,1,28,1,30,1,28,87,16,1,28,26,30,1,28,5,30,1,28,15,30,1,28,35,30,1,28,68,30,1,28,11,6,1,28,1,30,1,28,25,13,1,28,17,30,1,28,7,6,1,17,1,28,1,30,3,6,1,28,1,6,1,29,1,30,3,28,47,30,1,28,5,30,1,13,1,6,1,28,1,30,2,28,54,30,1,29,1,24,1,8,2,13,1,8,4,13,1,6,1,30,1,28,6,30,1,28,1,30,1,29,1,28,2,30,1,28,4,30,1,28,9,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,6,1,29,1,8,1,13,1,9,2,17,4,11,1,10,1,11,1,9,1,10,1,11,1,17,1,9,1,11,1,10,2,9,1,13,2,30,1,28,1,30,3,28,12,30,1,28,13,30,2,13,1,6,2,30,3,28,1,6,2,30,2,6,2,28,1,29,1,30,2,6,1,30,1,28,4,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,2,28,1,13,1,28,5,30,1,28,1,30,1,28,1,30,5,28,1,29,1,28,1,30,3,29,1,6,1,29,1,30,1,29,1,30,4,28,1,30,1,6,2,30,1,29,1,30,3,6,1,30,4,6,1,30,3,6,1,30,1,6,3,29,2,6,1,7,1,30,1,6,2,7,1,30,1,6,1,29,1,6,4,29,1,30,2,6,1,30,1,6,3,7,1,29,1,6,1,30,1,6,2,7,1,6,1,28,1,6,1,13,1,6,1,7,1,6,2,30,1,6,1,30,1,13,1,6,1,30,1,13,1,6,3,30,1,6,1,30,1,6,1,30,2,6,1,29,1,30,1,6,1,7,1,6,1,29,2,6,1,13,1,6,2,13,2,7,1,13,2,7,1,13,2,8,1,9,1,13,1,7,1,9,1,8,1,13,1,8,1,9,3,12,1,9,1,13,1,9,2,10,1,9,1,12,1,9,1,11,2,9,1,11,1,10,1,11,1,12,3,11,1,16,1,12,1,17,29,16,2,17,5,11,3,9,1,11,1,17,3,11,1,17,1,12,1,11,1,17,1,11,2,10,1,9,4,11,1,9,1,10,1,8,2,9,1,8,1,9,1,8,1,13,2,6,1,30,1,6,2,30,1,28,1,7,1,28,1,30,2,28,1,6,1,28,1,30,2,28,2,30,1,28,4,6,1,9,1,6,2,28,2,6,1,28,1,30,1,6,1,30,2,28,1,6,2,28,1,30,1,28,3,29,1,28,2,30,1,28,10,30,1,28,2,30,4,28,1,30,1,28,1,30,1,29,1,28,4,30,1,28,5,30,1,28,25,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,15,30,1,28,4,30,1,28,4,30,2,28,4,30,1,28,19,6,1,28,6,30,2,28,1,30,1,28,2,30,4,29,1,28,3,30,1,28,5,30,1,28,1,30,3,28,1,30,2,28,2,30,1,28,2,30,3,28,18,11,1,17,2,9,1,8,1,13,3,6,1,7,1,6,1,7,1,6,1,28,11,30,1,6,1,9,2,11,1,17,2,10,1,28,7,8,2,13,1,28,41,7,1,13,1,6,1,30,1,28,2,8,1,17,4,10,1,9,1,8,1,9,1,13,1,11,1,9,1,17,3,8,1,28,6,13,2,30,1,28,8,30,1,29,2,30,1,29,1,13,1,28,6,30,1,}, {8,1,24,1,10,1,17,1,9,1,17,1,16,1,10,1,9,1,8,1,13,2,8,1,6,4,13,1,8,1,17,1,9,1,6,1,28,13,29,1,13,1,11,1,9,2,8,1,9,1,10,1,24,1,9,1,13,1,6,1,30,1,28,2,30,2,6,2,13,1,11,1,9,2,8,1,10,1,9,1,17,38,16,1,10,1,16,1,8,1,13,1,7,1,9,1,8,1,9,2,8,2,13,1,24,1,13,1,10,1,17,5,16,1,17,1,11,1,9,1,11,1,9,2,17,3,10,1,13,1,28,1,6,2,13,1,7,1,8,2,7,1,28,35,30,1,7,1,24,1,8,1,12,1,17,1,8,2,13,1,6,1,13,1,6,1,29,1,13,1,17,3,16,1,17,2,16,1,11,1,9,1,11,1,13,1,8,1,13,1,9,1,7,1,13,1,9,1,13,1,8,1,13,2,8,1,9,1,11,1,10,1,8,2,9,1,10,1,17,2,9,1,28,14,13,1,9,2,13,1,7,1,30,1,6,2,28,2,30,1,29,1,30,2,6,1,30,1,6,2,30,2,13,3,7,1,8,1,7,1,9,1,13,1,6,2,7,1,8,2,13,2,9,1,8,1,13,1,7,1,13,3,7,1,6,2,30,1,8,1,6,1,7,1,13,1,7,1,30,1,6,2,30,1,6,1,28,1,6,2,30,1,6,1,30,5,6,1,30,1,6,1,29,1,30,1,6,3,30,1,6,3,30,4,6,3,30,4,6,1,30,4,29,1,6,1,24,1,10,1,24,1,15,2,24,1,15,1,24,1,12,1,24,2,12,1,24,2,12,3,24,1,12,2,24,3,15,1,24,29,15,1,24,1,12,1,24,4,15,1,24,9,25,3,24,1,25,1,24,1,25,1,24,2,8,1,24,3,8,1,24,1,8,1,24,1,25,1,27,1,26,1,29,2,27,2,29,2,30,1,29,1,30,1,29,1,30,5,28,6,30,1,29,2,30,1,28,1,30,1,28,3,29,2,8,1,25,1,8,1,24,1,25,1,24,2,25,1,26,1,27,1,29,1,28,13,29,1,30,1,28,4,30,1,28,16,29,2,27,1,25,2,26,1,25,4,24,1,25,2,8,1,25,1,8,1,25,1,24,1,25,4,24,6,15,1,24,1,8,1,27,1,29,2,30,1,29,1,30,1,28,1,30,1,28,5,29,1,27,2,25,1,29,1,27,1,26,1,25,1,27,1,26,1,27,1,26,1,27,2,26,1,27,2,6,1,29,2,6,1,29,2,30,1,29,2,30,1,29,1,30,3,29,3,6,1,29,2,26,2,8,2,24,5,8,1,24,1,25,8,8,1,24,1,17,1,12,2,24,1,12,2,24,1,17,1,24,5,25,1,8,1,15,1,24,5,25,1,24,3,25,1,24,2,25,1,24,1,26,1,24,3,15,1,12,1,17,2,15,1,17,1,24,1,15,1,12,1,24,1,25,2,27,6,29,1,27,1,26,1,27,2,29,2,27,1,29,1,27,2,25,2,8,1,25,1,24,1,25,1,8,1,29,2,30,1,28,2,30,1,28,3,30,1,6,1,28,3,29,1,30,1,28,1,30,4,29,1,30,1,28,1,6,1,28,1,6,1,29,1,28,1,30,3,28,1,30,1,28,1,30,7,28,1,29,1,28,1,30,2,28,1,29,1,28,1,30,2,29,1,30,2,28,1,30,1,28,1,30,2,28,1,6,1,28,2,30,1,28,1,30,3,6,1,28,2,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,4,6,2,28,1,30,7,6,2,30,2,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,2,6,2,28,1,30,2,28,1,30,1,28,1,6,1,7,1,6,1,30,1,28,7,30,2,28,2,30,1,28,5,30,1,28,8,30,1,28,7,30,1,28,5,30,1,28,3,30,1,28,4,30,1,28,6,30,2,7,1,17,1,30,2,28,7,30,1,28,1,30,1,28,1,30,2,28,8,30,1,28,18,30,1,28,2,6,1,30,1,28,9,30,1,28,2,30,1,28,65,30,1,28,25,30,1,28,22,8,1,6,1,30,1,28,42,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,1,13,1,30,1,28,2,30,3,28,1,30,1,28,2,30,1,13,1,28,1,30,3,28,1,30,1,7,1,29,1,28,1,30,2,28,5,30,1,28,20,13,1,28,1,30,1,28,6,6,1,28,1,30,5,28,1,13,1,9,1,30,1,13,3,30,2,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,1,6,2,13,1,30,2,28,2,30,2,28,1,6,1,30,4,28,2,30,1,28,2,30,1,13,1,30,1,28,2,6,1,28,5,30,1,28,6,30,1,28,15,30,1,28,16,30,1,28,41,30,1,28,25,30,2,28,5,17,1,28,31,6,1,28,9,30,1,28,30,30,2,28,3,30,1,28,6,6,1,28,7,30,1,28,5,30,1,28,58,30,3,28,13,30,1,28,19,13,1,28,16,6,1,28,7,30,1,13,1,16,1,28,2,30,1,6,1,29,1,9,1,30,1,28,1,30,1,28,3,30,1,28,51,6,1,28,1,30,1,28,54,30,1,28,3,30,1,7,1,30,2,6,1,29,1,6,1,29,1,6,2,28,4,30,1,28,1,30,3,28,25,30,3,28,1,30,1,29,1,30,1,13,1,6,3,13,1,8,2,9,1,13,2,9,1,10,1,13,3,6,2,28,5,30,1,28,13,6,1,28,18,6,1,13,1,6,1,30,2,6,2,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,30,2,29,1,28,1,6,1,30,5,28,2,6,1,30,2,13,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,28,5,30,3,6,1,30,1,29,1,30,2,29,1,6,1,30,2,6,1,30,2,29,2,28,1,30,1,6,2,29,1,6,1,30,2,29,1,28,1,6,1,30,4,28,1,6,1,30,2,6,1,29,2,6,2,30,1,29,1,6,4,30,1,13,1,6,1,7,1,30,1,6,1,30,1,6,2,30,1,6,4,7,2,6,2,7,1,6,2,30,1,6,1,30,1,6,3,7,1,30,2,6,1,29,1,30,1,6,2,29,1,6,1,29,2,6,2,29,1,30,1,29,1,30,1,6,2,30,1,6,5,7,1,30,1,6,1,13,1,6,2,7,1,6,2,13,4,6,1,13,1,7,1,9,1,13,1,8,2,9,1,8,1,9,1,8,1,11,1,9,4,13,1,8,2,9,2,8,1,10,1,9,2,10,1,9,1,17,1,9,1,11,1,17,2,10,1,17,3,10,1,17,26,11,1,16,1,17,3,11,4,12,1,17,5,11,1,17,3,11,1,9,1,11,1,10,1,9,1,17,1,9,1,11,1,12,1,9,1,11,2,9,2,10,1,9,1,11,1,9,1,8,1,13,1,7,1,6,1,29,1,28,1,6,2,28,1,30,6,28,2,30,1,28,1,30,1,28,2,6,2,28,4,30,1,28,2,30,2,28,1,30,1,6,1,30,1,28,1,30,2,13,1,6,1,29,1,30,1,28,18,30,1,28,3,13,1,6,1,28,6,30,1,28,6,30,1,28,24,30,1,28,1,30,1,28,16,30,1,28,6,30,1,28,3,30,1,28,5,30,1,28,6,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,11,30,1,28,2,29,1,28,1,30,1,28,2,30,3,28,1,30,3,28,2,30,1,28,3,30,3,28,2,30,1,28,8,30,1,28,1,30,1,28,2,30,1,28,18,9,1,14,1,17,1,9,1,13,1,7,1,6,2,13,1,29,1,6,3,28,2,30,1,28,8,6,2,10,1,9,1,11,1,17,2,10,1,28,6,6,1,9,1,7,1,8,1,28,41,6,1,7,1,6,1,13,1,28,2,8,1,17,3,11,1,9,1,13,1,9,4,17,4,29,1,28,5,29,1,13,1,7,1,28,9,30,1,13,1,6,1,13,1,7,2,28,7,}, {13,1,8,1,10,1,8,1,11,1,17,3,10,1,11,2,8,1,13,2,29,1,28,1,6,1,30,1,7,1,16,1,11,1,7,1,28,13,30,1,8,1,9,2,8,1,9,1,13,1,8,1,11,1,17,3,9,1,13,1,6,1,28,1,6,2,28,1,30,1,13,1,9,2,8,1,11,2,17,37,16,1,17,1,16,1,11,1,16,1,13,2,7,1,13,1,17,1,11,1,9,1,13,1,9,1,10,1,13,1,9,1,17,5,16,2,9,1,13,1,11,1,9,2,17,4,29,1,28,1,29,2,13,1,8,2,9,1,8,1,28,34,30,1,28,1,7,1,13,1,8,1,11,1,9,1,10,1,8,1,7,1,13,1,7,1,6,1,28,1,9,1,17,7,10,1,13,1,11,2,10,1,24,1,8,1,13,1,8,2,13,6,9,1,8,1,9,3,10,1,17,2,9,1,28,14,30,1,13,1,9,1,6,2,30,1,6,1,30,2,6,1,30,1,6,2,30,1,6,1,13,1,6,1,13,9,8,1,13,1,6,1,13,1,6,1,13,9,6,1,13,1,6,1,13,3,7,1,6,1,13,1,6,1,13,2,7,1,6,2,30,2,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,3,29,1,30,2,6,4,30,1,29,1,6,1,29,1,30,3,28,2,6,1,28,1,30,1,6,1,30,2,6,1,28,1,30,1,28,2,30,1,6,1,8,1,24,1,8,1,24,1,25,1,15,1,24,3,15,1,24,1,15,2,24,1,12,1,15,1,12,2,24,5,25,1,24,41,25,1,24,2,25,1,24,1,25,3,24,1,25,1,24,2,8,1,25,1,8,1,25,1,27,2,26,1,27,1,28,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,6,1,28,1,30,1,28,2,29,1,28,1,30,1,28,7,30,4,28,1,30,1,28,3,27,5,24,2,25,1,24,1,25,2,26,1,29,1,30,1,28,14,30,1,28,23,6,1,8,1,26,1,8,1,25,3,26,1,27,1,25,4,24,1,8,1,25,1,24,1,25,1,24,9,8,1,25,1,27,1,29,1,30,1,6,1,30,1,28,8,6,1,8,1,26,1,25,2,8,1,27,1,25,2,26,2,27,5,29,1,6,3,29,2,30,1,28,2,30,1,29,3,30,1,29,2,30,1,29,2,27,1,25,2,24,9,25,1,26,2,27,1,25,1,8,2,24,3,12,1,24,1,15,1,12,2,24,4,15,1,24,1,15,1,24,13,25,1,24,1,8,2,24,6,15,1,12,1,17,1,12,1,15,3,24,1,15,1,24,1,8,1,25,1,27,1,25,2,27,2,29,1,27,3,26,1,27,2,28,1,29,1,27,1,29,2,25,2,8,1,24,1,26,1,25,1,6,1,30,1,6,1,30,3,28,1,30,1,28,2,6,2,30,1,28,2,30,1,6,1,29,1,28,1,6,2,30,1,6,1,30,1,6,1,30,2,6,1,30,3,28,1,6,1,28,1,30,2,28,1,30,2,29,1,30,5,6,1,28,1,30,4,6,2,30,2,28,1,30,1,28,1,29,1,28,3,6,1,28,1,30,2,28,1,30,1,28,1,30,3,6,1,30,2,28,1,30,14,29,1,30,3,28,1,29,1,28,1,30,4,28,2,30,1,6,2,30,2,28,2,30,2,28,1,30,1,28,1,6,1,30,1,28,2,6,1,29,1,13,1,6,1,28,2,30,1,28,1,30,1,13,1,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,5,30,1,28,5,30,1,28,23,30,1,28,8,13,3,30,1,28,16,30,1,28,8,30,2,28,12,13,1,30,2,28,1,7,1,30,1,28,9,30,1,28,94,6,1,28,66,30,1,28,1,30,2,28,3,6,2,30,2,28,4,6,1,28,1,13,1,9,1,28,3,30,1,28,1,30,1,6,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,28,2,30,1,28,1,30,1,28,1,13,1,28,3,30,1,28,2,30,1,28,15,30,1,28,4,30,1,6,2,28,2,30,1,28,5,30,3,28,3,30,4,6,2,30,1,28,1,30,1,6,1,28,1,30,4,6,1,30,1,6,1,30,1,6,2,13,1,8,1,30,1,7,1,29,2,30,1,6,1,30,3,28,1,30,2,28,7,30,3,28,4,30,1,6,1,28,1,30,1,28,8,30,1,28,13,30,1,28,3,30,1,28,35,30,1,28,49,16,1,28,42,30,1,28,5,30,1,28,35,30,1,28,1,30,1,28,2,6,1,28,81,30,1,28,21,30,2,28,14,30,1,28,1,6,1,29,1,28,1,6,1,30,1,28,5,30,1,6,1,28,1,30,1,13,1,8,1,28,1,30,1,28,2,30,1,28,111,6,1,30,1,29,1,9,1,6,1,28,1,6,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,38,30,1,28,2,30,1,28,3,30,1,6,1,30,1,29,1,13,1,6,2,28,1,30,2,28,1,30,2,28,3,30,1,28,34,30,1,6,1,13,1,6,2,30,1,28,4,30,1,28,1,6,1,8,1,28,1,30,1,6,2,30,1,28,1,29,1,6,1,28,1,6,1,30,1,28,2,30,5,28,2,30,1,28,1,30,1,28,1,30,2,29,1,6,1,30,2,6,1,28,1,29,1,30,1,6,1,29,3,30,3,29,1,28,1,30,5,7,1,6,4,30,1,6,1,30,1,29,1,30,3,29,1,6,1,29,1,30,3,6,1,30,1,6,1,13,1,7,1,6,2,13,1,29,1,6,2,7,1,30,1,7,1,6,3,29,1,13,1,30,1,6,2,13,1,30,1,29,1,6,5,30,1,6,2,29,1,6,1,7,1,13,1,7,1,13,3,6,3,30,1,6,2,29,2,6,1,29,2,6,1,30,2,29,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,29,1,6,3,30,1,6,5,13,3,8,2,7,1,9,3,13,1,9,3,13,1,9,1,8,1,9,1,8,3,10,1,8,1,11,1,10,2,13,1,9,1,10,1,9,2,11,1,9,1,12,1,17,1,12,1,11,1,17,5,12,1,17,6,16,1,17,1,11,1,17,11,11,2,17,1,11,1,17,1,12,1,10,1,11,1,12,1,17,4,11,2,17,7,10,2,9,2,10,2,17,2,11,1,12,1,10,1,9,1,12,1,9,2,10,1,9,1,12,1,7,1,8,1,6,1,30,3,6,1,30,1,28,1,6,1,30,1,6,1,30,4,28,5,6,2,30,1,28,8,30,2,28,1,30,1,28,4,6,1,30,2,28,21,30,1,13,1,28,5,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,6,30,2,28,1,30,1,28,7,30,2,28,16,30,1,28,2,6,1,28,12,30,1,28,13,30,1,28,1,30,2,28,6,30,2,28,2,30,1,28,13,30,1,28,2,30,2,28,2,6,1,30,1,28,1,30,1,29,1,30,1,28,4,30,1,28,1,30,1,28,1,30,4,28,2,30,3,28,1,30,1,28,1,30,3,28,1,30,1,28,19,9,1,14,1,11,2,13,1,6,1,13,2,6,3,30,1,28,5,30,1,28,4,6,1,28,1,6,1,7,1,9,2,11,1,16,1,17,1,9,1,28,6,6,1,24,1,8,1,13,1,28,41,13,1,7,1,8,1,30,2,28,1,9,1,17,3,11,1,17,1,11,1,9,3,11,1,17,4,28,7,7,1,13,1,28,10,6,1,7,1,13,1,29,1,13,1,28,7,}, {6,3,13,1,8,1,11,1,10,1,16,2,17,1,16,1,11,2,9,1,13,3,9,1,16,1,17,1,16,1,7,1,28,14,13,1,8,1,9,2,10,1,9,2,17,5,11,1,8,1,13,1,28,1,30,2,28,1,6,1,7,1,8,1,17,1,9,1,11,1,17,1,12,1,11,1,17,36,16,2,17,1,9,1,8,1,9,3,16,1,17,1,12,1,13,1,9,1,8,1,9,1,17,5,11,3,9,1,10,1,9,1,10,1,11,1,17,1,11,1,12,1,13,1,29,2,7,1,6,1,8,2,9,2,28,35,29,1,6,1,13,1,9,2,12,1,16,1,8,1,13,2,7,1,6,1,28,1,13,1,17,7,9,1,11,1,9,2,11,2,8,2,13,1,8,2,13,1,8,2,11,1,13,2,9,2,17,1,10,1,11,1,10,1,16,1,11,1,28,15,7,1,13,1,6,3,29,1,6,1,30,3,7,1,13,4,30,1,13,3,7,1,13,4,6,1,7,1,13,1,7,1,6,2,13,4,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,5,6,2,13,1,30,1,7,1,13,1,6,1,30,2,28,1,30,1,29,1,6,2,30,2,6,1,30,1,29,1,30,2,29,1,30,1,29,1,6,1,30,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,3,28,1,6,1,30,3,29,1,6,1,30,3,28,1,6,1,29,1,6,1,8,1,25,1,8,2,25,4,24,5,12,1,25,1,24,13,25,1,24,10,12,1,24,8,15,1,24,8,25,1,24,5,25,1,24,2,25,1,24,7,25,1,29,1,27,1,29,1,30,2,29,2,28,2,29,2,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,1,28,5,30,1,28,4,30,1,29,2,6,1,26,2,8,1,27,1,24,5,25,1,26,1,25,1,26,1,29,1,30,1,28,2,30,1,28,12,30,1,28,22,30,1,6,1,25,1,26,1,25,2,24,1,25,2,24,1,25,1,8,1,25,2,8,3,24,1,8,1,24,3,25,1,24,4,25,3,27,1,29,1,30,2,28,7,6,2,25,4,26,1,25,1,26,1,27,1,25,2,26,2,27,4,29,2,30,1,29,1,30,4,29,1,6,1,29,2,30,1,29,1,30,1,29,1,27,1,26,1,8,1,24,9,8,1,24,1,25,1,26,2,25,1,27,1,24,5,15,1,12,2,24,8,15,1,24,11,8,3,24,1,8,1,24,6,15,2,17,1,15,1,17,2,15,2,24,2,25,2,27,1,26,1,27,1,26,1,27,2,26,1,25,1,26,1,27,1,26,1,27,1,25,1,27,4,26,1,27,1,25,1,26,1,25,1,6,1,7,1,29,3,30,4,28,1,30,1,28,1,30,2,7,1,6,2,29,1,30,2,29,1,30,6,29,2,28,1,6,2,30,1,28,1,30,2,6,1,30,5,6,1,28,2,30,1,29,2,30,1,13,1,6,1,30,1,6,1,29,1,6,1,29,1,28,1,30,1,28,1,30,1,28,3,30,6,28,3,29,1,30,1,28,2,29,1,28,1,29,1,28,4,30,1,28,6,30,1,28,2,30,1,28,12,30,3,29,1,28,1,30,1,28,3,30,1,28,6,6,1,30,1,29,1,6,1,28,1,6,1,28,2,6,1,7,1,30,1,28,4,30,1,28,9,30,1,6,1,28,34,6,1,28,8,6,1,7,1,30,1,28,11,30,1,28,2,30,2,28,11,30,1,28,11,6,2,28,25,30,1,28,37,30,1,28,44,30,2,28,67,30,1,28,3,30,1,28,1,29,1,28,1,30,2,6,1,30,1,28,3,30,1,13,1,17,1,28,5,30,3,28,1,30,1,6,1,29,1,6,1,28,1,30,1,28,1,30,3,28,1,6,2,28,5,30,1,28,1,30,1,28,15,30,1,28,2,7,1,28,20,30,1,28,4,6,1,30,1,6,5,29,1,6,2,13,1,30,1,28,1,13,1,28,1,6,1,30,1,6,2,28,2,30,1,28,1,30,1,28,4,30,3,28,3,30,1,6,1,30,1,6,1,28,2,30,1,28,1,6,1,28,3,30,1,28,2,30,2,28,4,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,29,30,1,28,8,30,1,28,40,30,2,28,1,30,2,28,2,8,1,13,1,28,4,30,1,28,11,30,1,28,6,30,1,28,6,30,1,28,1,30,1,28,5,30,1,28,3,6,1,28,26,6,1,28,16,30,2,28,1,30,1,28,5,30,1,28,67,30,1,28,7,6,1,28,21,30,2,28,4,30,1,28,1,29,1,7,1,13,1,29,1,28,14,9,1,30,1,28,2,6,1,16,1,6,1,13,1,6,2,30,1,28,1,30,1,28,53,30,2,28,1,30,1,28,55,30,1,9,1,30,2,28,46,30,1,28,1,30,2,28,5,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,35,30,2,6,2,30,1,6,1,30,2,29,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,30,10,28,1,30,4,28,1,6,1,28,1,30,1,28,1,6,1,30,5,29,1,6,6,30,1,29,1,30,1,28,2,30,1,6,2,13,1,6,1,30,1,28,1,30,2,6,1,29,1,30,1,28,1,30,2,6,3,30,2,6,1,28,1,6,3,29,1,30,1,29,1,6,2,7,1,6,4,30,1,6,4,30,2,29,1,6,4,30,1,6,8,13,1,30,1,13,2,6,1,7,1,13,1,7,1,6,1,13,1,29,2,7,1,29,1,30,1,6,1,30,3,6,1,29,4,30,1,6,3,30,1,29,1,6,1,30,1,7,1,13,1,29,1,6,1,7,1,13,3,6,1,8,1,13,1,9,1,8,4,9,1,8,2,9,2,8,2,9,3,8,1,13,1,9,2,8,1,10,1,9,1,8,1,9,1,8,1,9,2,8,1,17,1,12,1,17,1,11,1,12,2,17,25,11,3,12,1,11,2,17,3,12,1,17,4,11,1,17,1,11,1,16,1,17,1,11,1,12,1,11,1,12,1,9,1,10,1,9,2,11,2,10,1,12,1,10,1,11,1,10,1,12,3,17,1,11,1,12,1,11,1,29,2,28,1,6,1,28,1,30,1,28,2,6,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,6,30,1,28,1,30,1,29,1,28,1,30,1,28,1,30,4,28,1,30,3,6,1,28,6,30,1,28,9,30,1,28,23,30,2,28,3,30,1,28,6,30,1,28,4,30,2,28,2,30,1,28,2,30,1,29,1,28,1,30,2,28,1,30,2,28,7,30,1,28,15,30,1,28,4,30,1,28,2,30,5,28,3,30,2,28,1,30,3,28,13,30,1,28,1,30,4,6,1,28,1,30,1,28,1,30,1,28,1,6,1,28,3,6,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,5,30,1,28,3,6,1,28,18,9,1,14,1,16,1,9,1,13,1,9,1,7,1,8,1,6,1,30,1,29,1,6,1,28,5,29,1,28,1,30,1,28,2,6,4,8,1,9,1,11,1,17,2,13,1,28,6,29,1,9,1,8,1,29,1,28,41,29,1,13,1,6,1,28,3,9,1,17,2,16,1,11,1,13,1,7,1,9,2,8,1,11,1,17,3,16,1,6,1,28,6,8,2,28,8,29,1,6,1,13,1,7,1,6,1,13,2,6,1,28,5,30,1,}, {30,1,6,1,13,2,7,1,11,2,17,4,11,2,9,1,16,1,11,1,9,1,11,1,17,3,8,1,30,1,28,11,30,1,28,1,9,1,10,1,11,3,17,1,11,1,10,1,17,5,11,1,16,1,11,1,13,1,6,1,28,1,6,1,30,2,13,1,9,1,12,1,11,1,10,1,17,1,11,1,17,44,13,1,6,2,9,1,13,1,9,1,17,4,16,1,11,1,16,1,9,4,12,1,11,1,17,3,13,1,28,1,6,1,29,1,13,1,7,1,8,1,12,1,24,1,29,1,28,34,29,1,13,1,8,1,9,2,16,1,11,1,9,1,13,1,8,1,6,1,7,1,13,2,11,1,17,6,11,1,9,1,10,1,11,1,9,1,12,1,9,1,8,2,13,2,9,1,8,1,9,3,8,1,9,1,11,1,9,2,11,1,9,2,16,1,28,15,13,4,6,1,13,1,6,1,7,2,13,2,6,1,30,1,6,4,13,2,28,1,6,4,30,1,13,1,6,1,13,1,6,1,13,1,7,1,13,5,9,1,13,2,6,3,13,2,6,1,13,1,6,5,29,1,6,2,30,1,13,1,30,1,6,1,30,3,6,1,30,2,6,2,30,1,28,1,29,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,28,1,30,1,13,1,30,5,28,1,6,1,30,4,6,1,30,2,6,1,29,1,7,1,6,2,25,1,26,1,25,2,27,2,25,1,8,1,25,1,24,14,12,1,15,1,24,1,12,2,24,1,15,3,12,2,24,9,8,1,24,1,25,2,24,1,8,1,24,8,25,2,24,5,8,1,25,3,29,3,27,1,29,3,30,2,29,1,30,3,28,3,30,2,28,12,29,1,28,2,30,1,28,4,29,1,27,2,25,1,26,1,8,2,24,1,15,1,24,3,25,3,27,3,28,41,6,1,25,1,8,1,24,1,25,3,24,1,26,1,25,1,8,1,25,1,24,1,25,1,8,1,25,1,24,1,8,1,24,4,25,1,24,1,25,3,27,2,29,2,30,2,28,6,6,1,7,1,26,1,8,1,27,1,25,2,27,1,26,4,27,4,29,1,27,1,29,3,30,2,29,2,30,3,28,1,30,1,29,1,26,1,29,1,25,4,24,7,8,1,25,2,8,1,29,1,30,1,29,1,25,2,24,3,12,1,24,1,15,1,24,6,15,1,24,3,15,1,24,7,15,1,8,1,24,1,8,1,25,1,8,1,24,2,15,1,24,5,15,1,24,2,12,1,15,1,12,1,15,2,24,2,25,2,27,3,26,1,27,2,25,1,27,2,26,1,25,1,27,1,26,1,27,2,26,1,27,1,25,1,27,1,26,1,25,2,29,2,30,1,28,2,30,2,28,1,6,1,28,1,30,2,29,1,28,1,30,1,29,1,6,2,28,1,30,1,28,1,30,2,6,1,30,3,28,3,30,4,6,1,30,2,28,1,30,2,29,1,30,3,28,1,30,1,6,1,29,1,30,1,6,1,28,1,30,5,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,6,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,13,30,2,28,14,30,1,29,2,30,1,28,7,30,2,28,2,6,2,30,2,13,1,30,1,6,1,30,1,6,2,30,1,28,15,30,1,28,3,30,1,28,30,29,1,30,1,28,7,13,2,28,2,7,1,6,1,28,33,30,1,13,1,28,14,30,1,28,11,30,1,28,31,30,1,28,6,30,1,28,44,30,3,28,20,30,1,28,27,30,1,28,18,30,3,6,1,29,1,7,1,13,1,6,1,13,1,6,1,13,1,28,1,30,1,28,3,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,1,6,2,30,1,29,1,30,1,28,1,6,1,28,1,13,1,6,1,28,1,30,1,28,53,30,2,28,1,30,1,28,1,30,4,6,3,9,1,7,1,28,2,6,1,30,1,28,5,30,1,28,1,30,2,6,1,13,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,8,28,3,30,1,28,2,30,3,28,2,30,1,28,2,30,1,28,12,30,1,28,13,30,1,28,6,30,1,28,2,30,1,28,13,30,2,28,7,30,1,28,7,30,1,28,4,30,1,28,1,30,1,28,1,29,1,30,2,29,1,30,1,6,1,7,1,8,1,28,1,30,1,28,1,30,4,28,20,30,1,28,1,30,2,28,31,30,2,28,5,30,2,28,7,30,1,28,2,13,1,28,7,30,1,28,1,30,1,28,75,30,1,28,26,16,1,6,1,30,2,28,1,6,1,30,1,28,11,30,2,28,4,29,1,6,1,7,1,6,1,9,1,16,1,9,1,28,65,30,1,28,54,8,1,30,1,28,1,30,1,28,46,30,1,28,3,30,3,28,56,6,1,30,2,28,1,29,1,7,1,28,1,29,1,30,1,28,3,30,3,28,1,30,1,6,1,28,1,29,1,30,4,29,1,30,1,28,1,30,1,28,1,6,1,29,1,6,1,30,2,29,1,6,1,28,1,29,1,30,1,28,1,30,1,6,2,29,1,30,1,6,1,29,1,30,1,6,1,30,3,29,1,30,1,28,3,30,6,29,1,28,1,29,2,30,1,6,1,28,1,6,1,29,1,30,1,6,1,29,1,7,1,30,1,29,1,6,1,30,1,6,2,7,1,28,1,13,1,29,1,7,1,30,1,6,1,7,2,6,1,30,1,6,2,7,2,6,1,29,1,6,1,30,1,6,1,7,1,6,3,13,1,6,1,30,1,13,1,6,3,29,1,6,2,7,1,13,1,6,1,13,1,6,1,28,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,3,30,1,7,1,30,1,6,5,30,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,3,9,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,9,2,13,1,8,1,9,1,8,1,10,2,9,1,8,1,10,1,11,1,9,2,11,1,9,1,10,1,24,1,9,2,17,1,11,1,17,5,12,1,17,3,12,2,17,1,12,1,17,18,9,1,11,3,17,2,11,1,17,1,11,2,17,4,12,1,17,1,11,2,10,1,11,1,9,3,10,1,11,1,9,4,11,1,9,2,12,1,17,3,9,1,13,1,29,1,6,2,30,1,28,1,6,1,28,2,30,1,28,1,6,1,30,2,28,3,30,1,28,8,30,1,28,1,30,1,28,3,6,1,30,2,28,2,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,7,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,28,30,1,28,2,30,2,29,1,6,1,30,5,28,1,30,2,28,1,30,1,6,1,30,1,28,2,30,3,28,1,30,1,28,3,30,1,28,3,30,1,28,12,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,2,30,2,28,1,6,1,30,1,28,13,30,1,28,1,30,1,6,2,28,1,30,3,6,2,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,4,30,1,28,1,30,2,28,18,16,1,14,1,16,1,13,1,29,1,6,2,8,1,6,2,29,1,6,1,30,1,28,8,29,2,7,1,6,1,13,1,9,2,11,1,17,2,6,1,28,6,30,1,8,1,10,1,30,1,28,41,13,1,6,1,28,3,30,1,16,1,17,2,16,1,9,1,11,1,10,1,13,1,10,1,8,1,17,5,28,6,30,1,13,2,28,10,6,1,29,1,8,1,13,2,28,6,30,1,}, {30,1,6,2,29,1,7,1,8,1,12,1,10,2,17,2,12,1,17,3,11,1,17,4,16,1,13,1,28,14,29,1,12,1,17,1,11,1,17,1,12,1,11,1,17,9,9,1,8,2,29,1,30,1,28,1,29,1,6,1,8,1,9,1,16,2,17,46,11,1,9,1,8,1,9,1,8,1,17,5,16,1,9,4,11,3,17,3,6,1,30,1,29,1,13,4,8,1,9,1,6,1,28,35,6,1,13,1,24,1,9,1,17,1,12,1,9,1,13,2,6,2,7,1,13,1,17,7,10,3,11,2,9,1,12,1,9,1,8,1,13,2,7,2,9,2,16,1,13,1,9,3,13,1,10,1,11,3,28,15,30,1,13,2,6,1,7,1,13,1,6,3,13,2,7,1,6,2,30,1,6,1,7,1,8,1,30,1,6,1,7,2,6,2,13,1,6,1,28,1,13,1,29,1,13,2,6,1,13,8,6,1,7,1,13,1,6,1,13,1,6,1,13,2,6,1,30,1,6,4,30,3,28,1,30,1,6,1,30,1,6,2,30,2,28,1,30,4,6,1,30,1,28,1,30,1,6,4,30,2,7,1,28,1,30,3,6,2,28,1,6,1,13,1,30,2,6,2,30,1,6,1,30,1,6,2,8,1,25,1,8,2,24,38,15,1,24,1,25,2,24,1,25,2,24,4,8,1,24,1,8,1,24,1,8,1,24,1,25,3,27,1,25,1,27,4,29,1,25,1,27,2,29,5,30,2,28,1,30,1,28,9,30,1,28,2,30,1,28,3,30,1,28,5,29,2,25,1,8,2,24,1,8,1,24,7,25,4,27,2,30,1,28,17,30,1,28,24,6,1,25,3,8,2,25,2,8,1,25,1,24,14,25,3,29,2,28,8,29,1,6,1,7,1,25,3,26,2,25,2,26,2,25,1,26,1,27,2,29,1,27,1,30,1,29,3,30,1,29,1,30,1,29,1,6,1,30,1,27,1,25,4,8,2,24,1,25,1,24,1,8,1,24,1,25,1,24,2,25,3,26,3,25,3,24,5,12,1,17,1,24,8,15,1,24,2,15,1,24,5,25,1,24,5,25,2,24,2,25,1,24,6,15,1,24,2,15,2,17,1,24,3,8,1,25,1,26,1,27,2,26,1,27,1,26,1,29,1,25,1,27,3,25,1,26,2,27,1,26,2,25,1,24,1,8,1,25,1,6,1,29,1,30,5,29,1,30,3,6,1,28,1,30,1,29,1,30,2,13,1,6,1,30,1,29,1,30,1,6,1,30,5,6,1,28,1,30,3,28,1,30,1,6,1,29,1,6,1,30,1,29,1,28,1,30,4,6,1,30,2,29,1,28,3,30,3,28,3,30,1,28,1,30,1,28,9,30,1,28,51,30,1,28,1,29,1,6,2,13,2,30,1,6,4,30,1,29,1,30,1,28,16,30,1,28,34,30,1,28,7,6,1,7,1,28,16,30,1,28,10,30,1,28,8,30,1,28,30,30,1,28,28,30,1,13,1,28,25,30,1,28,24,29,1,28,5,30,1,28,1,30,1,28,4,30,1,28,28,30,1,28,4,30,1,28,25,30,3,6,1,13,2,6,1,30,1,6,1,28,3,30,1,28,1,7,1,30,1,29,1,30,1,28,1,29,1,30,3,6,1,30,3,29,1,6,1,30,2,28,1,13,1,8,1,6,1,30,1,28,29,30,1,28,6,30,1,28,17,6,1,28,2,30,1,28,4,30,1,6,2,30,1,8,1,30,2,6,1,30,3,28,5,30,1,28,5,6,1,28,1,30,4,28,2,6,1,30,4,6,1,30,2,28,1,30,1,6,2,28,1,30,1,28,2,6,1,30,7,28,2,30,3,28,1,6,1,30,1,28,4,30,1,28,5,30,3,28,2,30,1,28,8,30,2,28,2,30,4,28,2,30,2,28,1,6,1,30,1,28,2,30,4,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,7,30,1,28,4,30,1,28,1,30,2,28,1,30,2,13,2,28,1,6,1,28,2,30,2,28,1,6,1,28,23,6,1,28,13,30,1,28,8,30,1,28,1,30,1,28,20,30,1,28,3,30,1,28,6,30,1,28,8,6,1,28,77,30,2,28,2,30,1,28,1,30,1,28,10,30,1,28,3,6,1,17,1,30,1,29,1,28,4,6,1,28,14,30,1,6,3,30,1,13,1,17,1,7,1,28,120,9,1,28,115,6,3,30,2,28,1,30,2,6,1,30,1,28,2,30,2,28,1,6,1,30,2,28,1,30,2,6,3,30,3,6,1,28,1,30,1,6,1,30,1,6,2,30,1,6,4,30,1,6,1,30,1,29,2,30,1,29,2,6,1,28,1,30,5,6,1,30,1,6,2,30,1,6,1,30,5,28,1,6,2,29,2,30,1,29,1,6,1,30,1,6,1,7,2,30,1,28,1,6,1,30,1,6,2,13,1,29,1,6,1,29,2,6,4,29,1,6,1,29,1,13,1,6,1,13,1,30,1,7,1,30,1,6,3,30,1,13,1,7,1,6,3,13,2,30,1,6,7,30,1,6,1,30,1,29,1,28,1,29,1,30,1,6,1,29,4,6,1,30,1,7,1,6,3,7,1,6,1,29,2,6,1,7,1,29,1,6,1,13,4,9,1,13,1,9,1,8,1,13,2,9,4,8,2,9,3,8,1,9,5,10,1,9,1,10,1,9,3,10,1,9,1,10,1,11,3,12,1,17,11,12,1,17,5,12,1,17,15,11,2,17,2,11,1,17,1,11,2,17,1,12,2,11,1,17,1,11,2,17,1,11,1,9,1,11,1,10,1,9,1,10,1,9,1,11,1,13,1,9,1,8,1,9,1,12,1,17,2,12,1,8,2,6,1,29,1,30,2,28,2,30,1,28,26,30,1,28,1,30,3,28,1,30,1,28,1,6,1,30,1,28,12,30,1,28,1,30,1,28,2,30,2,28,4,30,1,28,9,30,1,28,10,30,1,28,3,30,1,28,5,30,3,28,7,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,6,30,1,28,6,30,2,28,1,29,1,28,4,30,1,29,1,30,3,28,2,30,1,28,1,30,2,6,1,30,2,6,1,7,1,6,1,13,1,6,1,30,3,28,15,6,1,28,1,13,1,29,1,6,2,13,1,30,1,28,1,30,1,28,4,29,1,30,1,28,1,30,4,28,1,30,1,28,6,30,1,6,1,28,18,16,1,17,2,13,1,8,1,6,1,29,1,13,1,6,2,28,1,6,1,28,5,30,1,28,2,30,2,7,1,6,1,13,2,9,2,16,1,17,2,13,1,28,1,30,2,28,3,7,1,8,1,13,1,30,1,28,41,8,1,13,1,29,1,28,3,17,3,16,1,9,1,10,3,13,2,16,1,17,1,16,1,17,2,28,6,29,1,9,1,13,1,28,9,30,1,6,1,13,1,6,1,13,1,8,1,28,6,29,1,}, {30,1,7,1,29,1,6,2,8,1,13,1,9,1,12,1,11,2,12,1,17,3,11,1,17,1,16,2,17,2,9,1,7,1,13,1,8,2,6,3,13,3,6,2,13,1,12,1,11,4,12,1,11,3,12,2,17,1,16,2,17,6,9,1,8,1,28,1,30,1,6,2,13,1,9,1,11,2,17,55,11,1,16,1,9,1,8,1,9,1,10,1,11,1,10,1,17,3,6,1,30,1,28,1,13,2,9,1,24,3,6,1,28,34,29,1,7,1,13,1,8,1,24,1,16,1,10,1,9,1,13,1,6,5,17,5,16,1,17,1,11,1,17,1,10,1,9,2,16,1,9,3,13,1,30,1,13,3,10,2,8,1,10,2,9,1,12,1,11,1,9,1,17,2,28,15,30,1,13,2,6,1,13,2,6,5,13,1,29,1,6,1,30,1,6,1,30,1,13,1,6,1,29,1,6,1,7,1,6,2,13,1,7,1,13,1,6,1,30,1,13,4,6,1,13,1,6,1,13,6,6,1,30,1,13,2,6,5,30,4,6,1,30,1,28,1,6,1,30,2,6,1,30,1,29,1,30,1,29,1,6,1,30,1,6,5,30,2,6,1,30,1,6,1,13,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,6,3,13,1,28,1,30,1,28,2,13,1,24,1,8,1,24,1,25,3,24,15,25,1,24,1,8,1,24,6,25,1,24,12,25,1,24,2,25,2,8,2,25,6,29,1,30,1,29,3,27,2,29,1,27,3,6,2,29,1,30,2,28,3,30,1,28,11,30,1,28,1,29,1,30,1,28,3,30,1,28,1,30,1,29,2,27,1,25,4,24,1,26,1,8,1,24,7,25,4,26,1,27,1,29,1,30,1,28,43,29,1,8,2,25,1,24,3,25,1,24,1,25,1,24,1,25,1,24,1,8,1,24,3,8,1,24,5,8,1,26,1,27,1,30,1,29,1,30,1,28,7,6,2,26,1,25,2,8,1,27,1,26,1,8,1,27,1,25,1,27,1,26,1,27,8,30,1,29,3,27,2,26,1,25,2,26,1,25,2,24,7,25,1,24,1,25,1,26,1,27,1,26,2,27,1,25,2,24,2,12,4,24,1,15,1,24,10,15,1,25,1,24,4,8,1,24,2,25,1,24,1,8,2,25,1,24,1,25,1,24,1,25,1,24,5,15,1,24,1,15,3,12,1,15,1,24,4,26,1,27,1,25,1,27,1,26,1,27,1,25,1,27,1,25,1,27,3,25,1,26,1,27,3,25,3,8,1,6,2,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,5,30,4,28,1,30,4,28,3,30,3,28,5,30,2,28,4,30,2,6,1,30,2,28,1,30,1,28,4,30,1,28,2,30,1,28,47,30,1,28,5,6,1,30,2,28,11,30,2,6,2,30,1,28,1,6,1,30,2,28,2,30,1,28,16,30,1,6,1,28,38,6,1,28,3,13,1,30,2,28,23,30,1,28,8,30,1,28,62,6,1,28,45,30,1,28,1,30,1,28,1,6,1,30,1,28,3,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,2,30,1,28,6,30,1,28,11,30,3,6,1,30,1,28,20,6,1,28,4,6,1,30,2,28,1,29,1,7,1,13,1,6,3,28,1,30,2,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,7,1,13,1,30,1,6,1,30,2,8,1,13,1,6,1,30,1,28,27,30,1,28,1,30,1,28,5,30,2,28,18,30,1,28,1,30,2,28,1,30,1,28,1,30,3,6,1,30,2,6,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,7,28,1,30,3,28,1,30,3,28,2,30,1,6,1,30,1,6,4,30,3,28,1,6,1,30,3,28,1,30,5,29,1,30,3,28,1,30,3,28,1,30,2,28,1,29,1,28,1,30,1,28,5,30,2,28,1,30,1,28,4,30,1,28,2,6,1,28,1,30,1,28,1,30,2,6,1,30,3,28,2,30,1,28,5,30,2,28,1,30,1,28,8,30,1,6,1,28,1,6,1,28,1,30,1,28,3,30,2,29,1,28,1,30,1,28,11,30,1,28,3,13,1,9,1,6,1,28,1,13,1,28,2,30,1,28,1,30,1,28,1,7,1,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,3,28,5,30,1,28,1,30,1,28,1,6,1,28,8,30,1,28,4,30,1,28,3,30,1,28,6,6,2,28,14,30,1,28,4,30,1,28,3,30,1,28,1,30,3,28,1,30,4,28,2,6,1,28,8,30,1,28,12,30,1,28,1,30,2,28,4,30,1,28,24,30,1,28,13,30,1,28,5,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,3,30,1,28,8,30,1,28,3,17,1,7,1,30,1,28,17,30,5,6,1,30,1,6,1,9,1,30,1,28,50,6,1,28,69,9,1,28,119,6,1,7,1,30,1,6,1,30,1,29,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,30,2,29,1,30,1,13,1,29,1,30,1,6,1,30,1,6,1,29,1,6,3,30,1,6,3,28,1,6,1,30,5,6,1,7,1,30,1,6,2,30,4,28,1,29,1,6,2,29,1,30,7,6,2,30,2,6,1,30,4,29,1,30,1,6,2,30,2,6,1,28,1,30,1,6,2,30,1,29,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,29,1,6,2,13,2,7,1,29,1,6,2,8,1,13,1,30,1,13,1,6,4,29,1,6,1,29,2,13,1,6,2,13,1,7,1,29,2,6,1,30,1,6,2,30,1,6,1,30,1,6,2,30,1,29,1,30,1,6,1,29,1,7,1,29,1,6,1,29,1,6,3,13,2,7,2,13,1,7,1,8,2,13,1,8,2,9,1,8,2,13,1,8,1,13,1,9,3,8,1,9,7,11,1,10,1,11,1,9,1,11,1,10,2,9,1,10,1,9,1,11,1,12,1,17,5,11,1,17,2,11,2,12,1,17,4,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,8,16,1,17,5,11,1,17,3,11,2,9,1,11,3,9,1,11,2,10,1,9,1,11,1,9,1,11,1,10,1,12,1,11,1,9,1,11,2,17,1,12,1,9,1,13,1,6,1,30,1,28,2,6,1,28,3,30,1,28,18,30,2,28,2,30,1,28,1,30,2,28,4,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,4,30,1,28,1,13,1,30,1,28,9,30,1,28,6,30,1,28,2,30,1,28,8,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,2,28,2,30,1,28,3,30,1,28,1,30,4,28,1,30,2,28,3,30,1,28,5,6,1,30,1,6,1,30,1,28,4,30,2,28,1,30,1,6,1,28,2,30,1,28,1,30,2,6,1,28,2,30,1,28,1,30,1,28,5,30,2,13,1,6,5,29,1,30,1,28,15,30,4,28,3,30,1,28,6,30,3,28,1,30,2,6,1,28,1,30,1,28,3,30,1,28,1,30,1,29,1,28,18,11,1,17,1,9,2,13,2,6,1,7,2,6,1,7,1,29,1,30,1,28,6,29,1,28,2,13,1,28,1,29,1,13,1,9,2,11,1,16,1,17,1,8,1,28,1,6,1,28,3,6,1,9,1,13,2,28,42,13,1,6,1,7,1,30,1,28,1,6,1,17,3,11,1,9,1,11,1,9,1,8,1,13,2,9,1,17,4,28,2,30,1,28,3,30,1,8,1,6,1,28,9,6,2,7,1,8,1,7,1,29,1,30,1,28,5,13,1,}, {28,1,6,1,7,1,13,2,8,1,24,3,8,1,9,2,17,3,9,1,8,2,9,1,16,3,17,16,9,1,10,1,11,1,12,2,11,1,17,3,16,1,17,7,16,2,9,2,30,1,28,1,30,2,6,1,8,1,10,1,17,55,16,1,11,1,12,1,9,1,10,1,11,1,12,1,17,3,6,1,30,3,8,1,24,1,8,2,9,1,29,1,28,34,29,1,6,1,8,1,24,1,9,1,17,1,16,1,10,1,7,1,13,2,29,1,7,1,13,1,17,7,11,1,17,1,10,3,17,1,9,2,8,1,13,2,6,1,8,1,11,1,9,3,10,4,9,1,8,1,17,1,11,1,13,1,28,14,13,1,6,1,13,1,6,1,13,1,6,4,13,1,6,3,30,1,13,1,6,1,29,1,6,1,7,1,13,1,6,2,13,2,6,3,29,1,6,1,13,1,6,1,29,1,13,1,29,1,6,1,7,2,6,1,13,1,6,2,13,1,6,5,7,1,13,1,6,3,29,1,13,1,30,1,6,1,8,2,7,1,13,3,6,1,13,5,6,1,13,2,28,2,30,1,28,3,6,1,28,2,30,1,28,18,30,1,29,1,27,1,25,2,24,1,25,1,24,13,25,2,24,10,25,1,24,4,25,1,24,2,25,1,8,1,25,3,26,2,27,2,26,1,27,2,29,2,28,1,27,1,25,1,26,1,29,1,27,2,29,1,27,3,29,1,30,3,28,15,30,7,28,1,30,2,28,1,29,2,25,3,8,1,24,8,8,1,24,3,8,1,24,1,25,1,27,1,26,1,27,1,30,1,28,3,30,1,28,42,6,1,25,1,24,3,25,1,24,1,8,1,25,2,24,6,12,1,24,3,8,1,27,1,25,1,29,1,27,1,30,1,28,8,30,1,6,1,26,3,25,6,8,1,25,2,27,2,26,1,27,4,30,1,29,1,27,1,26,1,25,1,8,2,25,1,8,2,25,1,24,1,8,1,24,6,25,1,24,1,25,5,27,1,25,1,24,2,15,1,12,1,24,1,15,2,17,2,12,1,24,1,12,1,24,6,15,1,24,8,25,1,24,4,25,1,24,3,25,1,24,6,15,1,12,1,15,2,12,1,17,1,15,1,24,1,25,1,24,1,25,2,26,2,24,1,25,1,26,1,25,3,27,1,25,1,29,1,25,4,26,1,27,3,6,1,30,1,6,1,30,1,28,19,30,1,28,1,6,1,30,4,28,3,30,1,28,7,30,1,28,1,30,1,28,9,30,1,6,1,30,1,28,5,30,1,28,5,30,1,28,15,30,1,28,2,30,1,28,26,30,1,6,2,30,3,28,12,6,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,18,6,1,28,40,30,1,13,1,6,1,30,1,28,35,30,1,28,50,30,1,28,9,13,1,28,9,30,1,28,14,30,1,28,2,30,1,28,16,30,4,28,2,30,2,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,13,30,1,28,4,6,1,28,6,30,1,28,15,30,1,28,2,30,1,28,1,30,1,6,1,30,1,6,2,30,2,6,1,13,1,30,1,28,1,6,1,30,1,7,1,6,7,29,1,6,1,29,1,6,3,13,1,30,1,28,1,30,1,11,1,13,1,6,2,30,1,28,3,30,1,28,2,30,1,28,1,30,2,6,1,28,7,30,1,28,3,30,2,28,5,6,1,28,4,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,2,30,2,28,1,30,2,6,2,30,1,28,2,30,1,6,2,30,2,28,2,30,1,28,1,30,1,28,4,30,3,28,3,30,3,28,1,30,2,6,2,30,1,6,4,30,2,28,1,6,1,30,2,29,1,28,1,30,1,29,1,6,1,30,2,28,1,30,1,28,1,6,1,30,1,28,2,30,2,28,3,30,4,28,1,30,1,28,3,30,3,6,1,28,2,30,2,28,7,30,2,28,3,30,3,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,5,30,1,28,4,30,1,28,3,30,1,28,1,30,2,28,2,30,2,28,2,30,1,29,1,30,1,28,5,6,1,30,1,29,1,28,1,13,2,28,1,29,1,30,1,28,2,30,2,28,1,30,1,29,1,30,2,28,2,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,2,30,1,28,4,30,1,28,2,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,7,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,4,30,9,28,5,30,2,28,6,30,1,28,5,6,1,28,2,30,1,28,4,30,4,28,1,30,1,28,7,30,1,28,4,30,1,28,2,30,1,28,4,30,1,28,7,30,1,28,8,30,1,28,1,6,1,30,1,28,1,30,2,28,2,30,3,28,3,30,1,28,1,30,3,28,6,6,1,28,8,6,1,13,2,28,5,30,1,28,12,13,1,6,1,30,1,28,1,6,1,13,1,6,1,13,1,29,1,13,1,30,2,28,2,30,1,28,12,30,1,28,32,30,1,28,68,30,2,28,123,6,1,30,2,28,1,30,2,6,1,29,1,30,1,28,1,6,1,30,1,6,1,13,1,30,2,29,1,6,1,29,1,6,2,30,2,6,3,7,1,6,1,30,2,29,1,6,2,28,1,6,2,29,2,6,2,29,1,6,1,30,1,6,1,30,2,29,1,30,8,6,2,29,1,6,2,30,1,28,1,6,1,30,4,28,1,6,2,29,1,28,1,6,1,29,1,6,2,30,1,6,1,29,2,6,5,30,1,6,4,13,1,6,2,7,1,13,2,6,1,29,1,7,1,6,1,7,1,6,2,29,1,7,2,30,1,7,1,6,1,30,1,13,1,6,1,13,1,29,1,13,1,7,1,6,2,29,1,6,1,29,1,6,1,28,1,6,1,29,1,6,1,30,1,13,2,7,1,6,1,7,1,13,1,6,1,13,2,6,2,7,2,13,1,8,1,7,1,13,1,9,1,13,1,7,1,13,2,8,1,13,1,9,1,13,1,9,2,13,1,9,4,11,1,9,6,11,2,10,3,9,2,12,2,17,7,11,1,12,1,17,1,10,1,17,4,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,11,16,1,11,1,17,2,11,1,17,1,11,1,16,1,11,1,12,1,9,1,8,1,11,1,10,1,9,3,12,1,9,2,11,1,10,1,9,2,12,1,11,1,9,1,12,2,11,1,17,1,9,1,7,1,6,1,30,1,28,1,30,1,6,1,30,2,28,6,30,1,28,4,30,1,28,4,30,1,28,2,30,1,28,4,30,1,28,5,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,8,30,2,28,6,30,1,28,9,30,2,28,15,30,1,28,1,30,3,28,4,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,8,30,1,28,7,30,1,28,7,30,2,7,1,30,1,28,1,30,2,28,3,30,1,28,1,30,2,6,1,30,1,6,1,13,1,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,22,30,8,28,1,30,1,28,2,30,1,28,3,30,1,28,1,6,1,28,18,9,1,17,1,9,1,8,1,13,1,29,1,6,4,13,1,6,1,28,7,29,1,28,1,30,1,6,1,30,1,29,1,13,2,11,1,16,1,17,2,13,1,28,5,13,1,9,1,13,1,6,1,28,42,7,1,13,2,30,2,28,1,17,3,11,1,9,1,11,1,9,5,17,3,11,1,28,7,8,1,13,1,28,8,30,2,13,1,29,1,13,1,7,1,13,1,28,6,6,1,}, {6,1,28,2,13,1,8,1,13,1,24,1,8,1,13,1,8,1,13,1,16,2,17,2,8,1,6,2,13,2,10,1,16,1,17,16,9,1,8,1,9,1,11,2,17,6,16,1,17,1,16,2,12,1,17,4,16,1,13,1,7,1,6,1,28,2,30,1,6,1,9,1,16,1,17,2,16,1,17,51,9,1,11,1,8,1,10,1,17,1,16,1,17,3,13,1,28,1,30,1,13,3,7,1,8,1,13,2,28,34,29,1,7,1,8,1,9,1,11,1,17,1,16,1,8,1,13,2,29,1,6,1,30,1,13,1,17,3,16,1,17,2,16,1,17,1,9,1,17,1,16,1,12,1,8,1,9,2,13,2,9,1,13,2,9,1,11,2,8,1,9,2,11,1,8,1,9,1,17,1,12,1,17,1,6,1,28,14,30,1,6,1,13,3,9,1,6,2,30,1,6,1,7,1,30,1,6,1,28,1,30,1,28,1,6,2,7,1,6,1,30,2,13,1,30,1,6,2,13,1,30,1,6,1,13,1,6,3,13,1,6,1,13,5,6,4,29,1,30,1,29,1,6,5,13,1,6,3,28,21,30,1,28,15,30,1,28,5,30,1,8,1,25,1,24,16,8,1,24,1,25,4,24,2,25,2,24,1,25,3,24,1,8,1,25,3,27,1,25,1,27,2,29,2,27,1,29,1,27,3,29,7,6,3,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,3,30,2,28,7,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,29,1,27,1,25,2,24,8,8,1,24,3,8,1,24,1,25,1,27,1,25,1,24,1,26,2,27,4,30,1,28,44,30,1,25,1,8,1,24,1,8,1,24,2,25,2,24,1,25,2,24,7,25,1,26,3,29,2,28,9,29,1,7,1,26,1,25,2,8,1,25,1,8,1,25,3,26,1,25,5,26,1,25,1,26,2,25,1,8,2,24,1,25,1,8,1,24,1,8,1,24,2,25,1,8,1,24,1,25,4,8,1,25,4,24,1,25,1,24,1,25,1,12,1,15,3,12,1,15,5,12,2,24,8,15,1,24,2,25,1,24,1,25,1,24,9,8,1,25,2,8,1,24,6,15,1,12,2,15,1,17,1,12,1,24,1,25,3,24,1,25,1,8,1,25,3,27,1,25,1,27,1,25,1,26,2,25,6,26,1,30,1,6,2,30,1,28,2,30,1,28,20,30,1,28,3,6,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,6,1,28,4,6,2,28,3,6,1,28,4,30,1,28,2,30,1,28,9,30,2,28,9,30,2,28,1,30,1,28,31,30,2,6,1,30,1,6,1,28,2,30,2,28,2,30,1,28,7,6,1,28,6,30,1,28,2,30,1,28,20,30,1,28,18,30,1,28,20,6,2,29,1,28,85,30,1,28,10,13,1,28,7,30,1,28,8,30,1,28,3,30,1,28,2,30,2,28,6,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,2,6,1,28,2,30,1,28,1,6,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,2,29,1,28,11,6,1,28,2,30,1,28,1,30,1,28,7,30,2,28,5,30,1,28,1,30,1,28,5,30,1,28,1,30,1,6,1,13,1,7,1,6,2,13,1,30,1,29,1,30,2,6,6,13,1,6,2,30,1,29,2,6,1,7,1,6,1,29,1,30,1,6,1,16,1,30,1,6,1,13,1,30,1,28,2,29,1,30,3,28,1,29,1,30,1,28,1,6,1,28,5,30,2,28,3,30,1,28,2,30,1,29,1,28,1,30,1,28,1,29,1,28,3,30,1,28,2,30,3,28,1,6,1,30,2,28,1,30,7,29,1,28,2,30,2,28,1,30,1,28,2,29,1,6,1,30,1,29,1,6,1,13,1,29,1,30,2,29,1,30,4,28,1,29,1,30,1,28,3,30,3,28,3,30,1,28,1,30,1,29,1,28,1,30,1,6,1,28,1,30,1,28,1,30,2,29,1,6,3,28,1,29,1,28,1,30,5,28,1,30,1,28,5,30,1,28,2,30,1,28,1,30,1,28,1,10,1,13,1,30,1,28,1,30,2,28,2,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,29,1,30,2,28,3,30,3,28,1,30,1,6,1,30,1,28,1,30,2,28,2,30,1,28,4,30,2,28,1,30,8,28,2,30,2,28,1,30,1,28,1,29,1,30,1,28,2,6,2,28,5,30,1,28,1,6,2,30,2,9,1,6,1,30,3,28,3,30,1,28,1,6,1,30,1,28,3,30,1,28,4,30,3,28,4,30,1,28,1,30,3,6,1,29,1,28,2,30,2,28,3,6,1,30,2,28,3,30,3,28,2,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,2,30,3,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,2,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,6,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,4,30,1,6,1,28,2,30,2,28,2,30,1,28,2,30,2,6,1,28,4,30,4,28,2,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,12,30,1,28,1,30,2,28,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,6,1,28,2,30,2,28,1,30,2,28,1,30,1,28,2,29,1,30,2,28,4,30,1,28,1,6,1,28,2,6,1,30,1,28,16,30,2,28,1,30,1,6,1,13,1,9,1,6,1,9,1,6,2,28,19,30,2,28,11,30,1,28,12,30,2,28,1,30,1,28,11,30,2,28,1,30,1,28,55,6,1,30,1,28,127,30,1,28,2,30,1,6,1,30,2,13,1,30,2,29,1,30,3,6,1,30,1,29,1,30,2,7,1,6,1,30,1,7,1,6,1,30,1,7,1,30,1,28,1,29,1,6,1,30,1,6,1,28,1,6,1,28,1,29,1,30,1,28,1,6,1,29,1,6,2,30,1,6,2,30,2,29,1,30,1,29,1,28,2,30,3,28,1,30,8,6,2,30,1,29,1,30,2,6,1,7,1,30,1,13,1,6,2,30,1,6,2,30,2,6,1,13,1,30,1,7,2,6,2,7,1,29,1,13,1,6,1,7,1,13,2,30,1,7,1,6,1,7,2,6,3,7,1,13,1,7,2,13,1,7,1,6,1,7,1,6,2,7,2,6,1,29,3,6,1,30,1,28,1,6,4,13,1,29,1,6,3,13,4,7,1,6,2,8,1,13,1,9,1,13,4,8,1,13,2,9,1,13,1,8,1,13,1,10,1,9,5,11,2,9,1,10,1,11,1,9,1,11,1,10,2,9,1,12,2,10,1,12,2,17,6,11,1,12,1,10,1,12,3,17,2,12,1,11,2,17,3,12,4,17,11,9,1,17,4,11,1,10,1,8,1,9,5,8,1,10,1,11,1,10,1,11,1,9,1,11,1,9,1,10,1,11,1,17,3,10,1,11,1,17,1,24,1,7,2,28,4,6,1,13,1,28,5,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,4,6,1,28,7,30,1,28,1,30,1,28,1,30,2,28,3,6,1,28,3,30,1,28,2,6,2,30,3,28,16,30,1,6,1,28,2,30,7,28,5,30,1,28,4,29,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,6,2,28,4,30,1,28,2,30,2,28,1,30,2,28,10,30,1,28,24,30,1,28,1,30,1,6,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,34,30,1,28,1,30,1,13,1,28,18,17,2,9,1,13,1,8,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,29,1,28,7,30,1,28,1,29,1,30,1,13,2,9,1,11,1,17,3,30,1,28,5,30,1,8,1,13,1,6,1,28,42,6,2,29,2,30,1,6,1,17,4,12,1,17,1,13,1,9,4,16,1,17,2,8,1,30,1,28,6,8,1,6,1,28,8,30,1,29,1,30,1,6,1,13,2,7,1,28,6,6,1,}, {28,2,6,1,24,1,7,1,24,1,8,1,13,1,8,1,13,2,16,1,17,3,16,1,30,1,6,3,7,1,11,1,17,3,16,1,17,11,11,1,12,1,9,1,11,1,9,1,12,1,17,7,11,1,17,1,11,1,16,1,17,6,9,1,10,1,13,1,28,4,13,1,12,1,16,1,17,4,11,1,17,46,16,2,11,1,9,1,11,1,9,1,16,1,17,3,13,1,29,2,30,1,8,2,6,1,13,1,9,1,8,1,28,34,30,1,6,1,8,1,9,1,16,3,9,1,7,2,13,1,29,1,6,1,13,1,17,4,9,1,11,1,12,1,17,1,9,1,11,1,16,1,10,1,16,1,13,3,8,1,13,3,8,1,12,1,9,2,10,1,8,1,9,1,13,1,9,1,11,1,17,2,29,1,28,14,6,1,7,3,30,1,28,1,30,1,28,1,30,2,6,2,13,1,6,5,13,1,6,1,13,1,9,1,13,1,6,1,13,1,6,1,13,2,6,1,29,1,7,1,13,1,6,4,9,1,7,1,13,1,30,2,28,26,30,1,28,4,30,1,28,1,30,6,28,2,30,2,6,1,30,3,6,1,30,1,6,1,30,3,28,1,30,1,28,1,6,1,30,1,7,1,8,1,24,1,12,1,24,7,25,1,24,8,25,2,8,2,25,2,8,2,25,1,26,1,27,1,26,1,25,1,26,1,27,1,29,2,27,1,30,1,27,1,30,1,29,1,27,1,29,3,30,1,27,1,29,2,27,2,29,1,6,1,29,2,30,1,29,1,30,1,28,3,30,1,28,1,30,1,28,9,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,4,29,1,30,1,29,1,25,1,24,1,8,1,24,1,12,1,24,5,12,1,24,2,25,1,24,1,25,2,24,1,27,1,25,3,27,1,26,3,27,2,29,1,30,3,28,42,29,1,25,2,24,6,8,1,24,8,25,1,26,1,25,1,27,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,7,1,25,6,8,1,24,1,25,1,8,1,24,1,8,1,25,2,8,1,24,2,25,1,8,1,24,1,8,1,24,1,8,1,24,3,8,1,15,1,24,3,8,1,25,3,26,1,25,1,27,2,26,1,25,1,8,1,24,3,15,1,12,1,15,1,12,2,15,3,17,1,24,1,15,1,24,9,25,1,24,4,8,1,24,6,25,1,24,3,25,2,27,2,25,1,24,4,15,1,24,1,12,1,15,1,17,2,24,2,25,5,26,1,25,1,27,1,24,1,27,1,25,1,26,1,25,1,27,1,25,1,26,1,25,1,26,1,8,1,25,2,27,2,26,1,29,1,28,4,30,1,28,21,6,1,28,3,30,2,28,2,30,1,28,1,30,1,6,2,30,1,28,1,30,1,6,1,28,3,30,1,28,5,30,1,28,3,30,1,28,1,30,4,28,5,6,1,28,13,30,1,28,25,30,1,28,2,30,2,28,1,30,1,28,1,6,1,30,3,28,1,6,2,28,8,6,1,28,1,30,3,28,7,13,1,30,1,28,50,30,1,28,7,30,2,28,1,6,1,28,21,30,1,28,4,29,1,30,1,28,31,30,1,28,4,30,1,28,9,30,1,28,16,30,2,28,1,30,1,28,1,13,1,6,1,28,3,30,1,28,1,30,1,28,3,29,1,28,3,30,2,28,1,30,2,28,6,30,2,28,1,30,1,28,8,30,1,6,1,28,1,30,1,28,1,30,2,6,1,28,4,30,2,28,4,30,1,29,1,28,2,30,1,28,5,30,1,28,1,30,1,28,1,30,2,28,1,30,2,29,1,28,1,30,2,28,1,30,4,28,1,30,1,28,1,6,1,28,4,30,1,29,1,6,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,10,30,1,28,2,30,1,6,1,13,1,6,2,13,3,29,1,30,2,7,3,6,2,29,1,30,1,6,2,29,1,6,2,7,1,6,2,7,1,6,1,13,1,8,1,6,1,13,1,6,1,28,1,30,2,29,1,6,2,30,2,28,1,30,1,6,1,30,1,6,1,28,3,30,1,28,1,29,1,28,2,30,1,28,2,30,3,28,1,30,1,28,1,29,1,30,1,28,2,30,2,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,2,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,3,6,1,30,4,28,1,6,1,30,6,28,3,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,4,29,1,30,1,28,1,6,1,30,1,28,1,30,1,13,1,30,2,28,1,30,3,28,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,13,1,30,2,28,2,29,1,28,1,6,1,30,1,28,2,30,1,29,2,28,4,6,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,29,1,30,1,28,1,30,1,29,1,6,1,30,4,28,2,30,1,28,1,30,2,28,4,30,1,6,1,30,2,29,1,30,2,28,1,29,1,30,3,28,5,30,3,6,1,30,3,28,2,30,3,6,1,28,1,30,2,11,1,28,1,30,1,28,1,30,1,28,5,30,2,28,3,6,1,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,1,30,3,6,1,13,1,28,1,30,3,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,29,1,6,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,7,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,4,28,1,30,1,28,1,30,5,28,1,30,1,6,1,29,1,30,2,28,1,30,2,28,1,29,1,30,1,6,1,30,2,28,1,30,3,28,1,30,2,28,1,30,1,29,1,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,3,30,5,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,28,5,30,1,28,2,30,2,28,1,30,3,28,1,30,1,28,6,30,4,28,2,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,6,1,30,4,28,1,6,1,30,1,28,1,30,1,28,1,30,2,29,2,30,5,13,1,30,3,13,1,30,1,28,1,30,1,29,1,28,15,30,2,13,1,6,1,13,2,6,1,28,2,30,1,28,2,30,1,28,17,30,1,28,5,30,1,28,18,30,1,28,24,30,1,6,1,28,45,13,1,28,131,30,3,13,1,30,1,28,3,30,3,29,1,6,1,30,1,6,2,29,1,28,1,30,1,6,1,30,1,29,2,6,1,30,1,29,1,30,1,6,1,28,2,30,3,28,1,30,6,6,2,28,1,29,1,30,13,6,1,30,1,29,1,30,1,6,1,29,1,30,1,6,2,7,1,30,1,6,1,30,3,6,1,29,1,30,1,6,1,7,3,6,5,7,1,6,6,13,1,6,1,7,1,6,1,30,1,29,1,7,1,6,2,29,1,13,1,7,1,13,1,6,2,7,1,13,3,6,3,7,1,29,1,6,1,29,1,6,1,13,1,6,1,29,1,6,1,29,1,6,1,13,1,6,5,13,1,7,1,6,1,7,1,13,2,8,1,13,1,8,1,13,1,9,1,6,1,13,1,6,1,13,1,7,1,13,2,8,1,13,1,9,1,8,1,9,1,10,1,9,2,11,1,9,3,11,1,10,1,11,1,12,1,17,1,12,2,17,1,11,1,10,1,17,6,12,1,11,2,9,1,12,1,17,1,12,1,11,1,10,1,12,1,10,1,17,1,24,1,12,2,17,2,12,3,17,1,11,2,17,6,16,2,17,2,9,2,11,1,9,7,10,3,9,1,12,1,10,1,17,3,12,1,10,1,11,1,17,1,12,1,10,1,8,1,6,2,28,4,30,2,6,1,28,5,30,1,28,2,30,1,28,1,30,1,28,11,30,1,28,5,30,1,28,2,30,1,28,2,30,3,6,1,28,1,30,2,28,3,30,1,28,1,6,1,30,1,28,12,30,2,28,1,30,1,28,2,6,1,30,1,28,1,6,1,28,1,6,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,7,30,1,28,30,30,1,28,1,30,1,6,1,28,35,30,1,13,1,28,17,7,1,17,2,8,1,10,1,6,3,13,1,7,1,6,1,9,1,6,1,29,1,28,1,30,1,28,2,6,1,28,3,30,4,8,1,11,2,17,3,28,6,30,1,13,3,28,42,29,1,13,1,29,1,30,1,6,1,13,1,17,3,16,1,9,2,10,1,9,1,8,1,13,1,9,1,17,3,9,1,28,6,30,1,13,1,7,1,28,9,29,1,8,1,6,1,7,2,29,1,28,1,30,1,28,4,6,1,}, {29,1,28,2,30,1,8,1,24,2,7,1,8,1,9,1,8,1,12,1,17,3,9,1,13,1,6,1,13,1,30,1,13,2,16,1,17,2,12,1,17,3,11,2,16,1,11,1,16,1,10,1,17,3,9,3,11,1,12,1,17,6,16,1,11,1,10,1,16,1,11,1,17,8,24,1,13,1,6,1,28,2,30,1,6,1,13,1,10,1,17,1,16,1,11,1,9,1,17,1,16,1,17,42,16,2,11,1,16,1,11,1,12,1,16,1,11,1,17,4,13,1,29,1,30,1,6,1,8,2,24,1,8,1,9,1,6,1,28,34,29,1,6,1,13,1,8,1,11,2,9,1,13,1,8,1,6,2,28,1,6,2,17,8,16,1,9,2,16,1,9,1,12,1,13,3,6,2,8,2,9,1,10,1,9,3,8,2,9,1,17,3,8,1,28,14,30,1,6,1,13,1,6,2,30,4,28,1,30,1,13,1,6,1,28,1,6,3,28,1,30,1,28,2,6,1,30,1,6,2,7,1,30,2,6,4,30,1,7,1,6,1,29,1,6,1,7,1,6,2,28,1,6,1,30,2,6,1,28,2,30,2,6,1,30,2,28,1,30,1,28,4,30,2,28,1,30,3,6,2,30,4,28,1,6,1,30,4,28,1,30,1,28,1,30,1,6,2,28,1,6,1,28,1,6,2,30,1,6,1,30,1,6,1,28,1,29,1,6,3,30,1,6,1,29,1,30,1,6,1,13,1,24,1,8,1,25,2,24,1,25,1,24,1,25,1,24,4,25,1,24,3,25,4,27,1,26,1,27,1,29,3,27,1,26,1,27,1,29,3,28,1,30,3,29,1,30,1,29,1,30,1,29,3,6,1,25,1,6,1,29,3,30,2,28,15,30,2,29,1,28,1,30,7,29,1,28,4,27,2,25,1,8,1,24,1,12,1,24,16,25,2,26,2,27,2,26,2,27,5,29,1,30,1,28,1,30,1,28,41,6,1,24,14,8,1,24,2,27,1,26,1,29,1,28,10,29,1,7,1,25,3,24,9,25,1,24,3,25,1,24,7,15,1,24,4,8,1,24,1,25,1,26,1,25,2,26,1,25,3,8,1,25,1,24,1,8,1,24,2,15,3,12,2,24,2,15,1,24,1,12,1,24,7,8,1,24,1,25,2,24,4,25,1,8,1,24,2,25,1,24,5,25,2,8,1,25,1,24,8,17,2,24,1,15,1,24,2,8,1,25,2,24,1,27,1,26,3,25,1,26,1,8,1,25,1,26,2,25,2,26,1,8,1,27,1,26,1,25,1,26,1,6,1,29,1,30,1,28,31,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,8,30,2,28,1,30,1,28,20,30,1,28,2,30,1,28,29,30,1,6,1,13,1,29,1,28,1,6,1,30,1,29,1,30,2,28,1,30,2,28,7,13,2,28,8,30,1,6,1,28,20,6,1,28,5,30,1,28,19,30,1,28,11,30,2,28,1,30,1,28,19,30,1,28,3,30,1,28,7,30,2,28,1,30,1,28,4,30,1,28,5,30,2,28,7,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,19,30,2,28,1,30,1,28,2,30,3,28,3,30,1,28,1,6,1,30,1,28,4,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,2,30,4,10,1,9,1,28,1,30,3,6,1,28,4,30,1,28,4,30,1,28,1,30,1,29,1,6,2,29,1,30,2,6,1,30,3,28,1,30,1,28,1,30,2,28,1,6,1,30,2,29,1,28,1,29,1,28,1,30,6,29,1,6,1,30,2,28,1,30,2,29,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,29,1,6,1,30,1,28,1,30,1,29,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,2,30,3,28,1,6,1,13,1,9,1,8,1,9,1,8,1,13,1,30,3,13,5,6,10,29,1,13,1,9,1,13,1,29,1,6,2,30,1,28,1,30,2,28,1,30,2,28,1,6,1,28,1,6,1,30,1,13,1,28,5,30,3,28,2,6,1,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,2,28,3,30,3,6,1,28,1,29,1,28,2,30,1,28,1,29,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,6,5,13,1,6,2,28,1,29,2,30,2,29,1,28,1,29,2,6,1,28,1,30,1,6,2,30,1,29,1,30,1,6,1,30,2,29,1,6,1,30,8,28,1,30,3,6,1,30,1,29,1,28,1,29,1,30,5,29,1,30,4,29,1,30,4,28,1,6,1,28,1,6,1,28,1,30,3,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,5,28,1,30,2,6,1,28,1,6,1,28,1,30,2,28,1,30,8,28,1,30,1,28,2,30,1,28,2,30,1,6,1,30,1,28,1,29,1,30,2,29,1,30,1,29,1,30,3,6,1,30,1,28,1,30,1,28,1,29,1,30,2,28,2,6,1,28,2,30,2,28,2,30,1,6,1,30,2,28,1,16,1,28,1,30,1,28,1,30,1,28,4,30,1,29,1,30,1,28,2,30,1,28,8,30,1,6,1,30,2,28,2,30,2,6,1,29,1,30,2,6,1,30,1,28,1,30,2,29,1,30,1,28,2,29,1,6,1,30,1,29,1,30,1,29,1,6,1,28,1,30,1,28,1,30,1,6,1,30,2,28,1,6,1,30,1,29,1,28,1,29,1,28,1,30,8,28,1,30,7,28,2,30,2,28,1,6,2,30,1,29,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,29,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,29,1,6,2,30,2,28,1,6,1,30,2,28,1,30,1,29,1,30,3,28,1,30,1,6,2,28,2,30,2,28,1,30,2,6,1,30,2,28,1,30,1,28,2,30,1,28,2,30,3,28,1,30,1,28,2,30,2,28,5,30,2,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,7,1,6,1,30,1,13,1,30,1,6,3,30,2,28,1,30,4,28,2,30,1,6,1,30,2,6,1,28,1,6,1,30,3,28,1,30,1,6,1,13,1,30,1,6,1,7,1,29,1,30,2,28,2,30,1,28,6,30,1,6,1,30,1,29,1,30,1,28,1,13,2,6,1,8,1,6,1,7,1,30,1,28,1,30,4,28,4,30,1,28,2,30,1,28,2,30,1,28,2,6,1,28,1,30,1,28,1,30,1,28,11,30,1,28,5,30,1,28,1,30,1,28,9,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,2,28,4,30,3,28,45,6,1,28,134,6,1,30,1,13,2,6,1,30,1,6,1,30,1,6,1,30,3,6,4,30,2,6,1,29,1,6,1,30,1,6,1,29,1,30,1,6,1,28,1,30,4,28,1,29,1,30,2,6,1,29,1,30,1,6,1,29,1,30,1,6,1,29,1,28,1,29,1,6,2,29,1,6,1,29,1,30,2,29,3,6,1,30,1,6,1,13,1,6,1,29,2,30,2,7,1,6,2,30,3,6,1,30,4,6,2,7,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,6,8,30,1,6,3,13,1,6,2,7,1,6,3,7,1,6,2,7,2,13,1,6,3,13,3,29,1,6,1,29,1,6,1,13,1,6,2,13,1,6,2,7,2,8,1,9,2,13,2,30,1,28,1,13,1,6,1,13,4,7,1,13,1,6,1,13,2,6,1,13,1,9,1,13,1,8,1,9,2,13,1,11,1,17,1,11,1,10,1,11,1,17,1,11,1,17,4,12,1,17,1,12,1,17,5,10,1,11,1,9,1,10,1,9,2,17,1,11,1,12,2,8,1,9,1,24,1,12,1,11,2,10,2,12,1,17,4,10,1,17,7,11,1,16,1,17,1,11,1,9,3,8,1,9,1,13,1,9,1,8,1,13,1,9,2,12,1,11,1,9,3,11,1,17,1,11,3,9,2,8,1,6,1,28,21,30,1,28,6,30,1,28,4,30,1,28,7,29,1,28,2,30,1,28,2,30,1,28,4,30,1,6,1,28,2,30,1,28,1,6,1,28,7,30,1,28,3,30,1,28,2,30,3,28,2,30,3,28,2,30,1,28,2,30,1,28,2,30,1,28,1,6,1,28,1,30,2,28,1,30,4,28,1,30,1,28,8,30,2,28,5,30,1,28,8,30,1,28,2,30,1,28,2,30,3,28,1,30,1,28,5,30,1,28,1,30,1,28,34,6,1,30,1,28,26,30,1,13,2,28,17,6,1,11,1,17,1,13,1,11,1,13,5,30,1,7,1,30,1,28,10,30,1,28,1,13,2,8,1,17,4,28,7,7,1,8,1,13,1,30,1,28,41,6,1,13,1,30,1,28,1,29,1,7,1,17,4,9,4,11,1,8,1,16,1,17,3,9,1,28,6,6,1,13,1,6,1,28,10,6,2,13,1,6,1,30,1,28,5,30,1,13,1,}, {28,1,30,1,6,1,8,1,6,1,13,1,8,1,9,2,13,1,9,1,12,1,17,3,12,1,13,1,6,1,13,1,6,1,29,1,13,1,17,4,9,1,17,1,12,1,17,1,16,1,11,1,12,1,17,1,11,1,17,2,16,1,9,1,11,1,8,2,9,1,17,5,16,1,17,1,10,1,16,1,11,1,17,1,11,1,17,8,11,1,24,1,6,1,30,1,28,2,30,1,13,1,9,1,11,1,16,6,17,42,16,1,11,1,16,2,11,1,16,2,17,3,13,1,28,1,30,1,29,1,13,2,6,1,13,1,9,1,7,1,28,35,13,2,9,1,12,1,17,1,11,1,6,1,13,1,6,2,30,1,6,1,13,1,8,1,17,6,11,1,9,1,11,1,12,1,17,1,9,1,12,1,13,1,8,1,9,1,13,1,7,1,13,2,10,1,9,2,8,1,9,2,8,1,9,1,11,1,8,1,9,1,8,1,28,15,6,1,7,1,13,1,30,1,28,1,6,1,30,2,6,2,30,1,28,1,6,4,13,1,6,1,13,3,6,2,13,1,29,1,7,1,30,1,6,2,13,1,6,1,7,1,6,1,13,1,28,1,6,2,30,2,6,3,30,1,29,1,30,1,6,1,30,9,6,2,30,1,6,1,30,1,6,1,30,2,6,1,30,2,29,1,30,1,6,2,28,1,6,2,30,1,28,1,6,2,13,1,6,1,30,2,6,1,30,3,13,1,28,2,30,2,13,1,6,2,30,1,6,1,29,1,6,1,30,1,29,1,30,1,6,1,13,1,26,1,25,2,8,1,24,1,25,1,24,1,25,2,24,2,25,3,26,1,27,1,28,1,26,1,29,1,27,3,29,1,27,1,29,2,27,1,30,1,29,1,30,1,28,1,30,1,29,4,6,1,30,1,29,1,30,1,29,1,28,2,30,3,29,1,30,2,28,1,30,1,28,11,30,2,29,1,28,3,30,3,29,1,28,2,30,2,27,1,26,1,25,1,8,1,24,1,8,1,15,1,24,1,12,1,24,1,12,1,24,15,25,2,27,6,25,1,26,1,27,1,25,1,29,1,30,2,29,1,30,1,28,1,30,1,28,11,30,1,28,27,29,1,6,1,24,13,25,1,24,1,8,1,27,2,28,10,30,1,13,1,7,1,8,1,25,2,24,7,8,1,24,17,25,2,24,14,12,1,24,1,17,1,12,1,24,3,12,1,17,2,15,1,12,2,24,7,25,1,24,2,25,1,24,2,25,1,24,1,25,1,8,1,24,1,25,5,24,6,15,1,24,1,15,1,24,4,25,1,24,2,8,1,25,1,27,2,8,1,25,3,27,2,29,1,25,1,27,3,25,2,26,1,25,4,27,1,29,1,28,32,30,1,28,19,30,1,28,15,30,1,28,19,30,1,28,26,30,1,28,3,30,6,13,1,28,10,30,1,29,1,30,2,28,30,30,1,28,3,30,1,28,20,30,2,28,9,30,1,28,2,6,1,28,9,30,1,28,15,30,1,28,15,30,1,28,5,30,1,28,5,30,3,28,1,30,1,28,1,30,1,6,1,30,4,28,2,30,3,28,1,29,1,28,1,30,3,28,4,30,1,28,1,30,1,28,2,30,2,28,3,30,3,28,5,30,2,28,2,30,4,28,2,30,1,28,1,30,1,28,2,30,1,29,1,30,3,28,1,8,1,9,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,7,1,6,2,29,3,28,1,30,2,29,1,30,1,13,1,30,1,29,1,6,2,30,1,29,1,28,1,30,1,28,1,30,1,6,1,28,1,30,8,6,1,30,1,28,1,30,2,29,1,30,1,29,1,28,3,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,6,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,5,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,3,6,2,13,3,6,1,13,1,6,1,30,1,29,1,6,6,13,1,6,2,7,1,29,1,30,1,13,1,30,2,13,2,30,1,6,2,28,1,6,1,30,1,29,1,30,1,28,1,30,1,6,2,29,1,30,1,13,1,30,1,29,1,6,2,28,2,30,1,28,3,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,1,30,1,6,1,30,1,6,1,30,4,29,1,28,1,30,1,28,1,30,1,28,1,30,1,6,2,29,2,6,1,28,1,30,2,8,1,30,1,6,1,28,1,30,1,29,1,6,1,30,2,28,1,30,1,29,3,30,3,6,2,30,1,6,1,28,1,30,1,28,1,30,1,29,1,30,1,29,1,28,1,30,3,28,3,13,1,6,1,30,1,7,1,30,5,28,1,30,1,28,1,30,2,13,2,6,2,30,3,28,1,30,2,6,1,28,3,30,1,28,2,30,2,28,2,30,1,28,1,30,9,29,1,30,1,28,2,30,2,28,1,30,2,28,2,6,1,30,3,28,2,30,3,28,2,30,1,28,2,29,1,30,1,28,1,30,6,28,1,30,1,29,1,30,4,29,1,30,1,28,1,30,4,6,2,30,2,6,1,30,2,6,3,28,1,30,1,28,1,9,1,30,1,28,1,30,2,28,3,30,4,28,1,30,2,28,3,30,5,28,1,30,3,28,2,30,2,6,2,28,1,30,1,6,1,30,1,28,1,6,1,28,2,30,1,29,1,30,1,28,1,30,3,6,1,30,1,28,1,30,6,28,1,6,1,28,2,30,2,28,1,29,1,28,5,30,3,29,1,30,2,28,1,30,2,28,1,30,4,29,1,30,1,28,4,30,5,28,1,30,3,29,1,30,1,29,2,6,1,13,1,6,1,30,1,28,1,29,1,30,2,6,1,30,3,28,1,30,1,28,1,30,2,29,1,30,1,28,1,29,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,4,28,3,30,2,28,2,6,2,30,1,29,1,30,5,29,1,7,1,30,1,6,2,30,1,29,1,6,2,30,2,6,3,30,3,13,1,30,1,6,1,30,2,6,2,28,1,6,1,30,2,6,1,30,1,29,1,30,2,6,1,28,1,30,1,28,1,6,1,30,6,28,1,29,1,28,1,30,5,28,1,29,2,13,2,6,3,13,1,6,1,28,1,30,1,6,2,30,1,6,1,30,2,28,1,30,1,28,2,30,1,28,2,30,3,28,3,30,1,28,4,30,1,29,2,28,3,30,3,28,1,30,1,28,2,30,1,28,2,30,2,28,6,30,3,28,5,30,1,28,1,30,2,28,1,29,1,28,3,6,1,30,1,28,3,30,1,28,45,30,1,28,140,30,4,13,1,30,1,6,1,30,4,6,2,30,1,6,2,30,3,29,1,30,4,29,1,6,2,30,1,6,1,29,1,6,4,13,1,30,1,6,5,29,1,6,2,29,1,6,2,30,5,13,1,30,1,29,1,6,3,7,1,30,1,28,1,6,1,30,6,29,1,30,1,29,1,6,1,28,1,29,2,6,2,30,1,6,3,29,1,6,1,28,1,6,2,29,1,6,5,30,1,8,1,13,2,7,1,6,1,30,2,7,1,6,3,7,2,13,1,29,2,6,5,28,1,7,1,13,1,6,3,13,2,7,1,13,1,29,1,6,1,29,1,6,1,13,1,8,1,7,2,13,4,6,3,13,2,6,2,13,2,8,1,13,1,8,1,9,2,8,1,10,1,17,1,12,1,10,1,12,1,17,1,12,1,17,11,11,1,9,2,8,2,11,1,17,1,11,2,12,1,24,1,9,1,8,1,9,1,12,1,9,1,10,1,12,1,11,2,12,1,11,1,9,1,11,1,17,8,12,1,11,1,9,3,13,1,9,3,8,1,9,4,11,1,9,3,12,1,11,1,10,1,12,1,11,1,17,1,8,1,30,1,28,29,30,1,13,1,30,1,28,12,30,2,28,2,30,1,28,3,6,3,28,1,30,1,28,3,30,2,28,3,30,1,28,5,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,2,28,1,30,1,28,3,30,1,28,9,30,2,28,1,6,1,28,2,30,1,28,3,30,1,28,1,30,1,28,8,30,1,13,1,30,2,28,8,30,2,28,8,30,2,28,1,30,1,28,49,30,2,13,2,28,17,30,1,17,2,11,1,16,1,6,1,30,1,13,1,7,1,28,1,13,1,6,1,29,2,30,1,28,6,30,1,28,2,6,1,13,2,9,1,17,3,16,1,28,7,8,1,13,1,7,1,6,2,28,39,30,1,13,1,6,1,29,2,28,1,8,1,17,3,11,3,10,1,9,1,13,1,9,1,11,1,17,3,11,1,28,5,30,1,28,1,9,1,29,1,28,8,30,1,6,2,13,1,6,1,7,1,28,5,6,2,13,1,}, {29,1,13,1,29,1,7,1,13,3,12,1,11,1,10,1,9,1,10,1,17,3,9,1,13,1,6,1,13,2,29,1,13,1,12,1,17,2,10,1,12,1,16,1,17,2,11,2,10,1,11,2,16,1,17,2,12,1,24,1,8,2,11,1,8,1,17,2,11,1,17,1,12,2,10,1,17,1,16,1,17,1,11,1,17,4,16,1,17,5,11,1,9,1,6,1,28,3,6,1,8,1,11,1,16,1,12,1,17,1,11,1,17,2,11,1,17,40,11,2,16,1,10,2,11,1,17,4,9,1,28,1,30,2,8,1,24,2,9,2,13,1,28,35,13,1,6,1,13,1,10,1,16,2,9,1,29,1,6,1,29,2,6,1,13,1,11,1,17,7,16,1,9,2,8,1,10,1,16,1,13,3,8,1,13,2,8,1,9,2,10,1,9,1,8,1,10,2,9,1,17,3,13,1,28,15,6,4,29,1,6,1,30,2,6,1,30,1,6,2,28,1,6,2,13,1,6,4,30,1,6,2,13,1,28,1,13,1,6,2,30,1,6,1,7,1,30,1,28,1,29,1,6,1,29,1,28,1,6,1,30,1,6,2,30,3,28,1,29,1,30,6,6,1,30,2,29,1,6,1,30,1,6,1,30,1,6,1,30,3,6,1,30,2,6,2,30,1,28,1,29,1,30,2,6,1,30,1,28,1,30,1,6,1,30,3,13,1,6,2,30,2,13,1,6,5,29,1,30,2,6,1,30,2,29,1,30,1,6,1,7,1,25,1,26,1,25,2,26,1,25,1,26,1,27,1,25,1,26,1,25,1,26,3,27,1,30,1,27,1,29,4,28,1,29,2,30,1,29,4,30,1,29,1,28,5,30,1,28,4,30,1,28,19,30,1,28,3,30,1,28,1,30,1,28,2,29,1,30,1,29,1,27,1,25,1,24,1,8,1,24,1,15,1,24,1,12,1,24,1,12,1,15,2,12,1,24,1,12,1,24,2,17,1,24,1,12,1,24,5,25,6,27,1,26,1,29,1,27,1,25,1,27,1,26,3,27,2,29,1,30,1,29,1,6,1,28,40,6,1,25,1,24,2,12,1,24,9,25,4,27,1,28,10,30,1,8,1,24,8,12,3,24,5,12,1,24,8,8,1,24,10,12,1,15,1,24,1,12,2,15,1,12,4,15,1,24,1,12,2,24,2,12,1,24,1,12,1,17,1,12,1,15,1,24,1,12,1,24,7,25,1,24,1,25,1,24,2,25,10,24,1,25,2,24,5,15,1,24,4,15,1,25,2,26,1,27,2,25,3,27,1,25,1,26,1,8,1,25,9,27,2,29,1,30,1,28,11,30,1,28,79,30,1,28,31,6,1,30,2,6,1,30,1,28,8,30,1,28,1,7,1,30,1,28,28,30,2,28,5,30,1,28,21,30,1,28,11,30,4,28,10,30,1,28,7,29,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,3,28,1,30,3,28,1,30,1,28,9,30,1,28,6,30,3,6,1,30,1,6,1,28,1,30,2,28,1,6,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,1,28,2,30,2,28,2,30,1,6,1,30,1,28,1,30,2,28,1,30,4,29,1,28,1,30,1,6,1,28,1,6,1,29,1,13,1,6,1,30,1,6,1,28,1,30,1,6,2,28,2,29,1,28,1,30,1,29,1,6,3,30,1,6,2,29,2,6,1,28,1,30,1,28,1,30,1,29,1,30,2,6,1,30,2,29,1,30,1,29,1,6,1,30,2,6,1,28,1,30,6,29,1,30,2,6,1,28,1,30,1,29,1,28,1,29,1,6,1,28,5,30,1,28,1,30,1,28,1,30,3,28,1,6,1,29,1,30,2,6,1,28,1,29,1,28,3,6,1,30,1,28,1,29,1,30,3,6,1,30,2,28,10,30,1,28,1,30,3,13,2,6,1,13,1,6,1,9,1,30,2,29,1,13,1,30,1,6,1,29,1,13,1,6,2,13,4,6,3,13,1,8,1,6,3,30,1,7,1,30,3,28,1,6,1,30,1,6,3,30,5,6,2,30,1,28,1,30,1,28,3,30,3,28,1,30,1,28,1,30,1,28,1,30,2,7,1,30,1,28,7,30,3,6,1,30,1,6,1,30,1,6,1,30,4,28,1,6,5,28,2,29,1,6,1,30,3,29,1,6,1,13,1,6,1,28,1,6,2,29,1,28,1,6,1,30,1,29,1,30,1,29,1,28,1,29,1,30,2,6,1,28,1,6,1,30,1,28,1,7,1,30,3,28,2,30,1,7,1,30,2,28,1,30,1,28,1,30,1,13,1,30,2,6,1,28,1,6,1,30,2,28,1,29,1,30,1,28,1,30,2,6,1,9,1,6,1,28,1,30,1,28,2,6,1,30,2,6,2,28,1,30,4,28,1,30,1,28,2,30,1,28,1,30,6,28,2,30,2,28,1,29,1,28,1,30,1,28,1,30,1,28,1,29,1,6,1,30,1,29,1,6,1,30,2,6,1,30,2,6,1,28,1,30,1,29,1,6,1,28,1,30,4,6,1,28,3,29,1,30,2,28,1,6,1,30,7,6,1,30,4,6,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,28,1,30,1,13,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,3,30,1,28,2,30,1,29,1,28,1,30,2,28,2,13,1,7,1,28,1,29,1,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,4,30,2,28,2,6,2,29,1,30,1,6,2,30,3,28,3,29,1,28,1,30,1,29,1,30,1,28,1,30,4,28,2,6,2,28,1,30,1,6,2,30,1,6,2,30,4,28,1,30,4,28,1,6,1,28,1,30,2,28,1,29,1,30,1,28,1,29,1,6,1,30,5,28,1,30,2,28,2,30,1,7,1,28,1,30,1,28,1,30,3,6,1,30,3,13,1,9,1,6,1,30,1,28,1,29,1,30,2,6,1,29,2,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,6,1,30,1,28,1,30,2,28,2,30,2,6,1,30,1,28,2,6,1,29,2,30,2,6,1,30,2,6,1,30,1,13,1,6,1,30,2,29,1,6,1,30,1,6,1,28,1,30,9,29,1,6,1,7,1,6,1,29,1,30,1,6,3,29,1,6,1,30,1,6,1,28,1,30,3,6,1,30,1,29,1,28,1,30,4,6,1,28,1,30,1,8,1,9,2,13,1,6,3,9,1,30,1,6,2,30,1,13,1,29,1,28,4,30,2,28,4,30,2,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,4,28,4,30,1,28,5,30,2,28,1,30,1,28,37,30,1,28,3,6,1,28,146,30,1,28,1,30,3,6,3,7,1,6,1,7,2,13,1,30,1,29,1,6,1,13,1,30,1,7,1,6,1,29,2,6,3,13,1,7,1,13,4,29,2,13,1,7,1,13,1,30,1,6,2,13,1,7,1,6,2,30,1,6,2,29,1,13,2,29,1,6,4,7,1,6,1,13,1,6,2,7,1,29,1,6,1,30,5,29,1,30,2,28,1,13,1,30,1,6,2,30,1,6,3,7,1,30,1,6,2,30,1,6,1,30,1,6,1,7,2,6,1,7,1,13,1,6,2,29,1,13,1,7,2,6,2,13,1,6,1,7,1,13,1,6,4,13,1,6,1,13,1,30,2,7,1,6,1,7,1,13,1,6,1,8,1,6,3,8,1,6,2,13,2,6,1,7,1,13,2,6,1,8,1,13,1,6,2,13,1,6,1,13,3,9,1,13,2,9,2,11,1,9,1,12,3,17,13,9,1,10,1,9,1,8,1,24,1,8,1,9,1,12,1,13,1,8,1,24,2,13,1,9,1,24,1,9,2,11,2,10,1,12,1,10,1,9,1,10,1,11,1,17,5,11,1,17,2,9,1,10,1,13,1,9,1,13,2,9,2,13,1,24,1,9,2,24,1,8,1,13,1,8,1,9,1,8,1,10,1,11,1,10,1,17,1,8,1,13,1,28,11,30,1,28,19,30,1,28,15,30,2,6,1,30,1,28,1,6,2,30,1,28,1,6,1,28,2,30,1,28,3,30,1,28,9,30,2,28,1,30,1,28,3,30,1,28,5,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,6,13,1,28,1,30,5,28,6,30,1,28,6,30,3,28,8,30,1,28,7,30,2,28,5,30,2,28,5,30,1,28,42,13,3,28,18,17,2,16,1,8,1,13,1,7,1,13,1,6,2,30,1,6,1,29,1,28,1,30,1,28,9,7,1,6,1,8,1,9,1,11,1,17,2,9,1,28,7,8,2,30,2,28,40,30,1,6,1,28,1,30,1,28,2,13,1,17,4,9,1,11,2,9,2,13,1,16,1,17,3,9,1,28,2,30,1,28,3,13,1,7,1,30,1,28,10,30,1,7,1,6,1,7,1,28,7,8,1,}, {28,1,6,1,13,2,8,1,24,1,8,1,9,1,12,2,11,1,17,4,9,1,8,1,13,2,7,1,29,1,8,1,12,1,17,2,9,1,11,1,17,2,16,2,10,2,9,1,11,1,17,3,8,1,10,1,8,2,9,1,10,1,17,3,12,1,11,2,10,1,11,1,16,1,12,1,17,3,16,1,17,6,9,1,17,2,11,1,13,1,30,1,28,2,30,1,6,1,9,2,10,1,12,1,16,1,17,3,16,1,17,35,16,2,17,1,16,3,11,4,16,1,17,2,8,1,30,1,6,2,8,1,13,1,24,1,8,1,9,1,13,1,28,34,30,1,6,1,8,1,24,1,9,1,17,2,9,1,6,2,29,2,6,2,9,1,17,7,16,1,12,1,9,2,11,1,10,1,8,1,13,2,9,1,13,1,8,1,9,1,10,1,9,5,11,1,17,4,13,1,28,14,30,1,6,4,30,1,6,1,30,1,6,1,30,2,6,3,30,1,6,1,7,1,13,1,6,1,29,1,6,3,7,1,30,1,6,1,30,5,28,1,30,1,6,1,30,6,6,2,30,2,29,1,30,5,6,1,30,1,28,1,6,1,30,1,29,1,30,2,6,1,13,1,6,3,13,1,6,2,30,1,6,5,7,1,6,1,13,1,6,1,13,3,6,1,13,1,6,1,30,2,6,3,7,1,6,5,29,1,30,1,6,1,30,1,28,1,30,1,13,1,30,1,6,2,29,2,6,1,25,1,26,1,27,3,25,1,27,3,25,1,27,1,29,2,27,1,30,1,29,3,30,3,29,2,30,3,28,8,30,1,28,1,30,1,28,24,30,1,28,3,30,1,29,2,26,1,25,1,8,1,24,2,12,1,24,1,12,1,24,1,12,1,24,1,12,1,24,4,12,1,24,4,12,1,24,7,25,2,27,2,26,1,29,1,27,1,26,1,27,1,26,1,27,1,26,1,25,1,27,2,28,1,30,1,27,1,30,1,29,1,30,1,28,38,29,1,7,1,25,1,8,1,24,9,8,1,24,1,8,1,26,1,25,1,27,1,30,1,28,7,30,1,29,1,25,1,24,4,12,1,15,1,24,8,12,1,24,5,12,1,24,1,12,1,24,12,15,2,24,1,12,1,15,1,12,1,15,1,24,1,15,1,12,1,24,8,12,1,24,1,12,3,17,1,24,5,8,1,24,1,25,2,24,2,25,1,26,1,25,3,8,1,25,1,24,1,27,2,25,1,24,1,25,2,24,3,25,1,24,1,12,1,24,7,25,11,8,1,24,3,25,1,24,1,26,1,25,2,27,2,29,1,30,1,28,93,30,1,28,29,30,1,28,2,30,1,6,1,13,1,30,1,28,10,29,1,30,1,28,6,30,1,28,4,30,1,28,17,30,1,28,8,30,1,28,14,30,1,28,15,30,2,28,2,30,1,28,10,30,2,28,2,30,1,28,2,7,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,6,1,28,9,30,1,28,4,30,1,28,4,30,4,6,1,28,1,30,1,28,1,30,1,6,1,30,3,28,1,30,1,6,1,28,1,30,1,28,3,30,1,28,3,30,1,6,1,30,1,29,1,6,3,30,3,28,1,30,1,28,1,6,1,30,1,6,1,30,2,29,1,6,1,30,1,6,2,28,1,30,2,6,1,28,1,30,3,6,1,29,1,6,1,28,1,30,3,6,1,30,2,28,1,30,1,6,1,13,1,30,2,6,2,29,1,28,1,30,1,6,2,30,1,29,1,6,1,30,1,6,1,29,1,6,1,30,4,28,1,6,1,30,1,28,1,30,1,28,1,30,2,29,1,30,1,13,1,6,1,30,2,28,1,30,1,29,1,30,1,6,3,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,32,29,1,28,1,30,1,28,1,30,1,8,1,13,2,6,3,29,1,6,1,13,1,30,1,7,1,29,1,6,1,9,1,6,3,9,1,7,1,29,1,6,2,13,2,6,1,30,1,6,3,29,1,6,1,28,1,30,2,28,1,13,1,29,1,28,3,6,1,28,2,30,1,28,6,30,1,28,1,30,3,28,3,30,1,28,1,6,1,28,1,30,4,6,1,30,1,28,1,29,1,30,4,28,3,30,3,28,1,6,1,28,5,30,1,6,1,28,1,30,3,28,6,30,3,28,13,30,1,28,6,30,2,28,2,30,1,28,9,30,1,6,2,28,8,29,1,28,1,30,1,13,1,28,18,30,1,28,30,30,1,28,7,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,6,28,2,8,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,2,28,1,30,1,28,4,30,1,28,1,30,1,29,1,30,1,6,1,30,3,28,1,30,2,13,1,30,1,6,1,30,1,28,2,6,1,30,4,28,1,30,5,28,4,30,1,6,1,30,1,28,1,6,1,30,3,6,1,30,4,28,1,30,1,28,1,30,4,28,1,29,1,28,1,30,1,28,1,30,2,29,1,30,9,28,1,30,4,28,1,30,2,28,1,30,4,29,1,6,1,28,1,30,4,28,1,30,4,28,1,30,1,28,2,30,2,6,1,30,1,28,1,30,1,28,2,30,1,13,1,16,1,17,1,6,1,30,2,6,2,30,1,28,1,29,1,30,1,28,2,30,2,28,2,30,1,28,3,30,3,28,1,30,2,29,1,30,3,29,1,6,1,29,2,30,1,28,1,30,1,6,1,30,1,29,1,6,2,30,4,28,1,6,1,30,1,29,1,30,1,6,2,29,1,6,4,29,1,30,2,6,1,30,1,28,1,30,2,6,1,28,1,30,1,6,1,30,2,6,1,30,1,28,1,6,1,29,2,30,2,28,1,30,1,28,1,30,1,6,1,30,5,6,1,28,1,7,1,9,3,30,1,29,1,30,1,13,2,30,1,28,1,6,2,29,2,6,1,30,1,28,1,30,6,6,1,30,1,28,1,30,1,28,2,30,2,28,1,30,2,28,1,6,1,28,1,6,1,28,2,30,2,28,1,30,1,28,2,30,5,28,1,30,1,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,3,28,3,30,1,28,3,30,1,28,2,6,1,30,2,28,1,30,2,28,40,13,1,28,21,30,1,28,116,30,1,28,16,30,3,6,1,28,1,30,1,6,1,30,1,13,1,29,1,6,2,13,1,6,1,13,1,30,1,29,1,6,1,30,1,13,4,6,4,13,2,6,3,13,4,6,2,30,2,6,1,29,1,6,1,29,1,30,1,6,2,13,2,6,1,13,1,7,1,6,1,29,1,30,1,6,1,30,1,29,1,30,2,29,1,6,1,7,1,29,1,30,1,6,7,29,1,6,1,30,1,6,3,29,1,6,2,13,1,7,1,29,1,6,4,13,1,7,1,13,1,7,2,6,2,7,1,13,2,6,3,29,1,13,1,6,2,29,1,6,1,7,1,6,3,29,1,6,1,13,2,7,1,13,1,7,1,13,5,6,1,13,3,6,1,13,3,7,1,8,1,13,1,6,1,13,1,7,1,13,1,10,1,9,2,12,1,11,1,12,1,17,1,12,1,17,8,12,1,10,1,17,1,9,1,8,2,11,1,24,1,8,1,6,1,13,1,8,1,13,2,9,1,8,3,17,1,9,1,11,3,10,1,9,1,12,2,17,6,11,1,10,1,17,1,8,2,13,1,8,6,9,1,8,1,13,1,9,2,10,1,9,1,10,1,9,2,10,1,13,1,30,3,28,2,30,2,28,1,30,2,29,1,30,1,6,1,28,40,6,1,28,4,30,3,28,1,30,1,28,9,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,16,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,5,30,1,6,2,30,3,28,2,30,1,28,13,30,1,28,6,30,1,28,5,30,5,28,4,30,1,28,2,30,1,28,5,30,3,28,2,30,1,28,5,30,1,28,32,29,1,7,1,28,18,17,1,16,1,8,1,9,1,13,1,29,1,6,1,7,1,6,2,30,1,28,1,30,2,28,1,6,1,28,3,30,1,28,2,29,1,13,1,8,1,9,3,17,2,11,1,28,7,13,1,8,1,6,1,28,41,30,1,7,1,6,2,28,2,6,1,17,3,16,1,11,1,9,1,13,1,9,2,10,1,17,1,16,1,17,2,9,1,28,6,29,1,10,1,28,8,30,1,28,1,30,2,6,1,30,1,6,1,28,7,8,1,}, {28,1,8,1,13,1,8,2,7,1,24,1,12,1,10,1,9,1,11,2,17,3,11,1,13,3,8,1,13,1,8,1,17,3,11,3,16,1,11,2,12,2,11,1,9,1,17,3,9,1,8,3,13,1,10,1,16,2,17,1,12,1,11,1,10,1,9,1,12,1,8,1,9,1,17,4,11,1,10,1,17,5,11,1,9,2,11,2,13,1,30,1,28,2,30,1,9,1,8,1,10,1,9,1,16,1,9,1,17,2,16,3,17,33,16,1,17,3,11,1,16,2,17,1,16,1,17,3,11,1,30,1,6,1,13,2,8,1,13,1,8,1,9,1,7,1,28,35,29,1,8,1,11,1,9,1,17,2,13,1,6,2,30,1,6,1,7,1,6,1,17,8,16,1,9,2,11,1,9,2,8,1,13,2,9,1,8,1,13,2,10,1,11,3,9,1,10,1,11,1,17,4,9,1,28,14,30,1,6,1,7,1,30,1,6,5,30,1,29,1,30,2,29,1,30,1,29,1,13,1,6,1,7,1,30,1,7,1,6,1,7,1,29,1,6,2,30,2,6,1,30,3,28,1,30,1,6,1,28,1,30,3,28,1,29,1,30,1,6,2,30,1,6,1,28,2,30,2,28,1,6,1,30,2,6,1,30,1,6,10,30,1,6,1,30,1,6,4,29,1,6,1,13,1,6,1,13,1,7,1,6,2,13,1,6,2,29,1,6,3,28,1,30,1,6,1,30,1,6,1,30,5,28,1,30,2,28,2,30,2,29,1,30,1,27,1,29,5,25,1,6,2,29,1,6,1,29,1,30,4,28,1,30,1,28,10,6,1,28,33,27,2,25,2,24,6,12,2,24,1,12,2,24,1,12,1,24,1,12,1,24,1,12,1,24,3,12,2,24,8,25,2,26,3,27,4,26,1,27,3,29,2,27,1,25,1,27,2,29,1,30,1,28,37,30,1,6,1,8,1,24,2,12,1,24,1,12,1,24,6,25,1,26,1,27,1,29,1,6,1,13,1,7,1,28,7,6,1,8,1,24,4,12,1,24,2,12,1,24,1,12,1,24,6,12,3,24,4,12,1,15,1,24,1,15,1,24,1,12,1,24,2,12,1,24,1,15,1,12,1,15,2,12,3,15,1,17,1,15,1,12,1,24,1,15,1,24,4,12,1,24,1,12,1,24,2,12,2,17,1,12,2,24,7,25,1,24,2,25,1,26,1,24,1,25,1,26,1,25,1,26,1,27,1,25,6,27,1,24,2,25,2,24,3,12,1,24,4,25,8,8,1,25,1,24,3,8,1,24,1,25,1,27,1,25,2,26,1,25,1,29,1,30,1,28,58,30,1,28,18,30,1,28,48,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,8,6,2,28,69,30,1,28,1,13,1,30,1,28,2,30,1,28,1,30,2,6,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,13,1,30,1,28,1,6,1,28,1,30,2,28,1,29,1,28,3,30,1,28,2,30,2,28,1,6,1,28,1,30,1,28,2,30,2,28,3,30,3,28,1,30,1,28,1,30,3,7,1,30,1,28,1,30,2,6,1,30,1,29,1,6,1,30,6,6,1,30,1,6,1,30,3,29,2,28,2,30,3,6,2,28,1,6,1,28,1,6,2,30,1,28,1,30,3,6,2,30,6,28,2,30,4,28,1,30,2,28,1,29,4,6,1,30,4,6,2,28,1,6,1,30,1,6,1,29,1,28,1,30,2,6,3,7,1,13,2,6,1,30,1,29,1,30,1,28,1,30,3,28,13,30,1,28,61,30,1,28,15,30,4,28,2,30,1,6,1,28,2,30,1,28,1,6,1,30,3,28,65,30,1,9,1,30,3,28,31,6,1,30,1,28,23,13,1,28,2,17,1,28,18,30,1,28,60,13,1,28,25,30,2,28,2,13,1,30,1,28,3,30,2,6,1,13,1,30,1,6,1,28,1,6,1,30,2,28,1,30,1,28,3,30,1,28,1,6,2,29,1,6,1,30,1,13,1,30,1,6,1,29,1,30,1,28,1,30,5,6,1,30,1,29,1,30,2,28,1,30,4,28,1,29,1,30,2,29,1,30,1,29,1,30,1,6,1,29,1,30,1,28,1,30,2,28,1,30,5,28,1,6,1,30,1,28,1,7,1,29,1,28,1,30,1,28,1,6,1,30,3,28,1,30,1,29,1,30,2,6,1,30,4,6,1,30,2,28,1,6,2,30,1,29,3,30,1,6,1,29,2,28,1,30,1,28,1,29,1,6,1,30,2,28,1,30,4,28,1,30,1,29,1,30,3,29,1,30,1,28,1,30,3,6,1,29,1,30,3,29,1,30,1,29,1,6,1,30,1,29,1,30,4,29,1,6,1,30,1,29,2,30,1,6,2,30,1,6,1,30,1,6,1,28,1,29,2,30,3,29,1,28,1,6,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,29,1,6,1,30,1,28,1,30,1,6,1,28,1,30,1,29,1,6,1,30,2,29,1,28,1,29,1,30,2,8,1,9,1,8,1,13,1,30,1,6,1,13,1,8,1,6,1,30,6,6,1,28,2,30,4,28,1,30,6,28,1,30,2,28,1,30,1,28,1,30,1,28,4,30,5,28,2,30,1,28,2,30,10,28,1,30,1,28,1,30,1,29,1,28,1,30,2,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,8,28,39,6,2,28,19,30,1,28,2,30,2,28,114,30,1,28,35,30,1,28,33,30,3,6,3,13,1,6,1,13,1,6,3,30,1,6,4,30,1,7,1,30,1,29,1,6,1,30,2,29,2,13,1,7,2,13,1,7,1,29,1,6,1,30,1,6,1,7,1,6,1,7,1,6,1,7,1,6,3,30,1,6,1,13,1,30,1,13,1,6,1,7,1,6,5,7,1,13,4,29,1,13,1,7,1,13,5,8,1,6,1,13,1,8,1,13,4,6,3,13,1,6,1,13,1,7,1,13,4,9,1,24,2,10,1,12,2,17,9,11,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,8,2,7,1,13,5,9,2,8,1,11,1,10,1,9,1,10,2,17,1,16,1,17,5,11,1,17,1,9,1,11,1,13,3,8,3,13,1,8,1,13,1,9,2,13,1,8,1,9,2,10,1,9,1,12,1,9,2,7,1,30,2,28,1,30,1,28,2,30,1,28,4,30,1,6,1,28,16,6,1,28,40,30,1,28,8,30,3,28,1,30,1,28,7,30,1,28,2,30,1,28,7,30,1,28,9,30,1,28,2,6,1,28,3,30,1,28,7,30,1,28,10,30,1,28,8,30,1,28,6,30,1,28,14,6,1,30,1,28,1,30,1,28,13,30,1,28,24,30,1,28,18,29,1,17,2,10,1,9,1,13,3,6,3,30,1,28,9,30,1,6,1,13,2,6,1,13,1,9,2,17,3,28,7,13,2,6,1,28,41,29,1,13,1,28,1,6,1,28,2,8,1,17,4,10,1,9,2,11,1,13,1,9,1,16,1,17,3,11,1,28,5,30,1,13,2,28,11,30,1,7,1,30,2,28,6,30,1,16,1,}, {28,1,7,1,8,2,13,1,8,1,24,1,12,1,10,1,9,1,24,1,12,1,17,3,16,1,13,1,6,1,8,1,6,1,9,1,13,1,11,1,17,1,12,2,17,2,9,1,17,1,16,1,17,1,12,1,9,1,24,1,15,1,17,1,9,1,8,1,9,1,13,3,8,1,17,3,16,2,9,2,10,1,8,1,12,1,11,1,17,2,16,1,17,1,12,1,16,1,17,4,9,1,8,1,12,3,17,2,9,1,8,1,28,2,30,1,9,1,12,1,9,1,10,1,12,1,9,1,16,2,17,1,16,1,17,34,16,1,17,1,11,1,9,1,11,1,9,1,17,4,9,1,6,1,29,2,6,2,8,1,9,2,13,1,28,34,7,1,13,2,8,1,9,1,17,2,8,1,6,1,29,1,6,1,30,1,6,1,28,1,11,1,17,7,12,1,13,1,17,1,9,3,8,2,9,1,13,4,11,1,9,1,12,1,9,3,16,2,17,3,9,1,28,15,7,1,6,1,28,1,6,2,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,13,1,6,2,7,1,6,1,30,4,28,3,30,5,28,2,30,1,28,2,29,1,30,1,6,1,30,1,29,1,30,1,6,1,30,2,29,1,28,1,30,1,6,4,29,1,6,2,30,2,6,1,30,1,29,1,6,1,7,1,6,2,7,1,6,3,13,3,6,1,29,1,7,1,30,1,6,1,13,1,6,3,29,1,30,1,13,1,28,1,30,2,28,4,30,1,28,4,30,2,28,6,30,2,28,1,30,3,6,1,29,1,30,1,29,1,30,1,28,10,30,2,28,1,30,2,28,30,30,1,28,1,30,1,6,1,8,2,24,4,12,1,24,2,12,6,24,2,12,2,24,1,12,1,24,12,25,2,8,1,24,1,25,2,26,1,29,1,27,2,26,1,27,1,25,1,27,1,29,1,25,1,27,1,25,1,27,3,29,2,30,2,28,1,30,2,28,12,30,1,28,18,6,2,25,1,24,6,12,1,24,3,8,1,25,1,27,1,29,2,30,1,28,2,30,1,28,5,29,1,7,1,8,1,24,5,15,1,24,1,12,1,24,1,12,1,24,1,12,1,24,1,12,5,24,1,12,8,17,1,12,1,15,1,17,2,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,1,12,1,15,1,12,1,24,1,12,1,24,2,12,1,24,2,15,1,24,2,12,1,17,1,12,1,17,1,24,1,12,1,24,6,25,2,27,1,25,3,27,1,25,4,24,1,25,6,24,1,25,2,24,8,25,3,27,1,25,2,26,1,25,3,24,1,25,1,24,4,25,1,24,1,25,2,27,1,29,2,28,113,30,1,28,13,30,1,28,1,30,2,13,1,6,1,30,3,28,8,30,1,7,1,30,1,28,11,30,1,28,41,30,1,28,1,30,1,28,6,30,1,28,4,30,2,28,1,9,1,30,1,28,1,30,5,6,1,28,2,30,1,28,2,30,2,28,1,30,2,6,1,30,7,6,1,28,2,30,5,28,1,30,2,6,1,30,4,28,2,30,5,28,1,6,1,30,1,28,1,30,2,28,2,30,7,28,1,6,1,28,1,6,1,28,1,6,1,28,3,30,1,6,1,28,1,6,1,30,1,6,1,8,1,16,1,6,1,28,1,6,1,30,3,6,1,30,3,6,1,30,1,6,1,30,2,28,1,29,1,30,5,6,1,30,1,6,1,28,1,30,2,6,1,30,3,6,2,30,2,28,3,30,3,6,1,28,2,13,1,28,1,30,4,28,51,30,1,29,1,28,5,30,2,28,1,29,1,28,1,30,4,28,1,30,1,29,1,13,2,7,1,6,1,30,2,28,6,6,1,13,2,7,1,30,1,13,6,8,1,9,3,8,1,9,1,16,1,9,1,6,2,13,1,6,1,8,1,13,2,7,1,9,1,16,1,11,1,9,1,13,1,30,1,6,1,28,1,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,14,30,3,29,1,28,1,30,1,6,1,29,1,7,1,6,1,13,1,6,1,28,2,6,1,30,2,28,2,29,2,6,1,30,1,6,1,28,2,30,1,28,1,30,1,28,8,30,2,28,1,30,1,28,2,9,1,17,1,6,1,13,1,6,1,8,1,9,1,13,1,30,1,28,1,6,1,30,1,13,1,6,1,30,4,28,1,30,2,29,1,6,1,30,6,28,2,29,1,30,2,13,1,6,1,13,1,30,2,29,2,28,3,30,1,6,2,30,1,6,1,13,1,9,1,11,1,13,2,7,1,29,1,28,1,29,1,30,1,28,2,13,1,30,1,28,1,17,1,28,1,30,1,28,2,30,3,28,3,30,1,28,2,6,1,28,1,30,1,28,1,30,1,6,1,30,1,28,9,30,1,28,32,30,1,28,2,30,1,28,1,30,2,6,2,28,8,30,1,13,1,28,28,30,1,28,39,30,1,28,2,30,3,28,2,30,1,28,1,6,1,30,3,6,1,30,1,28,1,30,4,29,1,30,1,6,1,30,1,6,1,29,1,30,2,28,1,30,1,6,2,7,1,6,2,30,1,28,1,29,1,30,3,6,1,13,1,6,1,30,2,6,1,30,2,29,1,30,1,6,1,30,1,6,1,30,3,6,2,30,3,29,1,6,1,30,1,6,2,30,1,6,1,30,2,6,1,30,1,28,1,30,3,6,1,30,3,28,1,30,2,28,1,30,3,29,1,30,1,29,1,30,1,29,2,6,1,28,1,7,1,30,2,28,2,30,3,6,2,30,2,6,1,29,1,6,1,30,2,13,1,29,1,28,1,6,1,30,2,29,1,30,2,29,3,30,2,28,2,6,1,29,1,28,1,29,1,6,2,28,1,30,1,28,1,30,4,29,1,30,1,28,1,13,1,30,2,6,1,8,1,13,3,6,2,7,1,30,4,28,1,6,1,29,1,30,2,6,1,30,1,28,1,29,1,6,1,30,4,29,1,28,1,6,1,28,1,30,1,28,2,30,1,28,1,30,2,6,1,30,2,28,1,30,1,29,1,30,4,28,1,30,2,28,3,6,1,28,3,29,1,28,2,30,8,28,1,6,1,30,7,28,1,30,1,28,1,6,1,28,2,13,1,6,1,30,3,28,13,30,1,28,24,13,1,30,1,28,12,30,1,28,5,30,1,28,197,6,1,13,1,29,1,6,2,13,1,30,1,6,1,29,1,30,1,29,1,30,2,6,5,30,1,13,1,29,1,30,1,6,6,13,2,6,1,30,2,29,1,13,1,6,1,13,1,30,1,29,1,6,1,7,1,6,3,13,2,7,1,30,1,7,3,6,1,13,1,6,3,13,1,6,1,13,2,6,1,13,1,6,2,13,1,6,1,13,1,7,1,8,1,13,2,6,1,13,5,8,1,7,2,13,1,8,2,9,1,12,1,17,13,9,1,13,1,8,1,9,1,13,10,12,1,8,1,9,1,24,1,10,1,11,1,17,8,11,1,9,1,13,2,8,1,24,1,13,1,24,1,8,1,13,1,8,5,9,2,17,1,9,2,17,1,9,1,13,1,30,1,28,7,30,1,28,3,30,1,6,1,30,1,28,15,30,1,28,6,30,1,28,13,30,2,28,36,30,2,28,12,30,1,28,8,30,1,28,2,29,1,6,1,28,12,30,1,28,6,30,1,28,3,30,1,28,1,30,3,28,23,30,1,28,1,30,2,6,1,28,4,30,2,28,5,30,1,28,27,30,1,29,1,28,3,13,1,9,1,28,12,30,1,17,2,16,1,9,1,13,3,6,2,29,1,30,1,6,1,28,9,6,3,8,2,9,1,16,1,10,1,17,1,9,1,28,7,9,1,8,1,13,1,28,41,6,1,9,1,6,1,28,1,30,1,28,1,13,1,17,3,11,1,12,1,9,4,11,1,16,1,17,3,9,1,28,2,30,1,28,2,30,1,13,1,9,1,28,10,6,1,30,1,6,1,30,1,6,1,30,1,28,4,29,1,28,1,17,1,}, {28,1,8,2,9,2,8,2,11,1,12,1,16,2,17,1,16,1,17,2,16,1,13,2,8,1,13,1,8,1,13,1,17,5,16,1,11,1,10,1,9,1,16,1,8,1,9,2,11,1,17,1,15,1,10,1,6,1,8,1,7,1,6,1,10,1,11,1,17,1,9,1,8,2,9,1,24,1,9,1,13,1,11,1,8,1,11,1,17,3,10,1,16,1,14,1,17,1,9,1,12,1,8,1,24,1,8,2,9,1,17,1,12,1,11,1,17,1,9,1,6,1,28,2,6,1,9,3,11,1,12,1,11,1,17,37,16,1,17,8,9,1,29,2,7,2,13,2,8,1,11,1,9,1,30,1,28,32,30,2,6,1,13,1,9,2,12,1,17,1,9,1,30,1,29,1,28,1,13,1,30,1,6,1,10,1,17,6,10,2,9,3,10,1,11,2,8,1,13,1,30,1,6,2,9,1,8,1,9,1,11,1,10,1,8,1,9,1,16,1,17,4,9,1,30,1,28,13,30,2,29,1,30,3,6,1,30,1,6,2,29,1,6,1,28,1,29,1,7,1,30,2,13,1,30,1,6,1,30,1,6,1,30,3,28,2,30,2,6,1,30,2,29,1,30,2,29,2,30,2,28,1,30,2,6,1,30,1,6,1,30,1,28,1,6,1,30,4,28,1,6,2,29,2,30,2,6,1,30,1,6,1,30,1,6,1,30,2,6,1,28,1,6,1,28,1,30,1,6,1,30,1,7,1,6,2,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,2,28,2,29,1,28,3,30,1,28,15,30,1,28,17,30,1,28,31,30,1,28,1,30,1,28,2,30,3,28,1,29,1,26,1,8,1,24,5,12,1,24,1,12,7,24,18,25,2,27,3,25,1,26,1,25,2,27,6,26,2,27,2,29,1,27,1,30,1,29,1,30,1,28,1,30,2,28,30,30,1,6,1,25,1,24,7,12,1,24,2,25,1,27,1,29,1,30,2,28,10,8,2,25,1,8,1,24,3,12,1,24,1,12,1,24,1,12,1,24,2,12,2,24,1,12,3,24,1,12,1,17,1,12,2,17,1,12,6,17,1,12,1,17,2,12,5,17,1,12,2,24,1,12,2,24,1,12,1,24,4,15,1,24,3,12,2,24,1,17,1,12,2,24,5,25,6,24,1,25,1,24,4,25,7,24,1,25,1,24,2,25,1,24,2,25,1,24,3,25,1,27,1,25,1,26,1,25,1,27,1,25,2,24,7,25,3,8,1,27,1,29,2,28,16,30,1,28,62,30,1,28,39,30,1,28,5,30,1,28,2,30,1,28,3,30,1,13,1,6,1,28,4,30,1,28,7,30,1,6,1,28,17,30,2,28,4,30,1,28,6,30,1,28,18,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,3,30,2,28,1,30,2,13,1,30,1,6,1,28,1,30,2,28,1,30,2,29,1,30,3,28,1,29,1,30,1,28,1,30,1,28,1,13,1,29,1,30,1,28,1,6,2,29,1,30,3,6,1,28,2,30,1,28,1,29,1,30,1,29,2,7,1,6,1,30,2,28,1,6,1,30,7,28,1,30,1,6,2,30,5,28,1,29,2,28,3,30,2,6,1,30,1,6,5,29,1,30,1,6,1,30,2,13,1,17,1,6,1,30,1,6,1,28,1,13,1,29,1,6,1,30,1,6,1,7,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,29,2,30,2,28,1,30,1,28,2,30,3,28,4,29,1,28,13,30,1,28,25,30,1,6,1,13,3,28,1,30,1,13,2,30,1,28,3,6,1,8,1,9,1,13,2,9,1,16,1,13,4,9,2,11,1,9,1,8,2,13,1,6,1,30,1,28,1,30,1,29,1,7,1,6,1,30,1,6,2,28,1,6,1,28,1,30,2,29,1,30,2,28,1,30,3,28,1,6,2,30,2,6,1,28,1,30,1,29,1,30,1,6,4,13,2,8,1,13,2,8,1,13,1,8,2,13,2,7,1,30,1,7,1,30,2,6,2,30,1,6,3,30,1,28,1,13,1,6,2,30,3,6,1,13,1,7,1,13,1,6,2,29,1,6,1,13,1,9,2,10,1,13,2,6,1,30,2,28,2,6,1,28,1,30,4,29,1,30,2,6,2,30,2,28,1,6,1,30,1,6,1,13,1,6,1,30,1,6,1,13,1,6,1,30,1,6,3,29,1,6,2,13,1,30,1,6,1,30,2,6,1,30,2,6,1,7,2,6,1,29,1,6,2,29,1,6,1,29,2,6,1,8,1,11,1,30,1,7,1,6,2,30,1,29,1,6,3,30,1,6,1,28,1,30,1,6,1,28,1,30,6,6,1,30,4,6,1,29,1,6,1,28,1,30,2,28,1,30,1,7,1,6,4,30,3,28,1,30,2,28,1,13,1,9,2,6,1,28,3,30,2,28,1,30,2,28,1,8,1,28,1,7,1,17,1,28,2,29,1,6,1,30,2,28,1,6,1,30,2,6,1,30,1,6,2,29,1,30,2,6,1,13,2,6,1,30,1,6,1,30,2,6,3,30,1,6,1,13,1,29,1,6,2,28,1,30,1,6,1,30,1,6,1,29,1,30,4,28,2,6,2,28,1,30,1,28,1,30,2,28,1,30,4,28,1,30,1,28,1,30,1,6,1,30,2,6,2,30,1,13,1,6,1,30,1,13,1,29,1,6,2,30,1,13,1,28,1,30,1,28,1,9,1,28,27,6,1,28,79,30,1,28,2,30,1,28,2,6,1,30,1,28,1,30,2,28,1,30,2,28,1,29,1,30,2,6,1,30,1,29,1,6,1,30,1,28,1,30,1,6,1,30,1,28,1,30,2,6,1,30,3,28,1,30,1,6,1,30,4,6,1,13,1,29,1,28,1,29,1,30,3,29,1,6,1,30,2,29,1,30,2,29,1,30,5,6,1,29,1,30,1,6,1,30,1,29,1,30,1,28,1,30,1,28,1,29,1,28,1,30,2,6,1,30,4,28,1,30,4,28,2,30,4,28,1,30,2,7,1,13,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,3,13,1,6,1,13,1,6,1,30,1,13,5,30,3,6,1,29,1,30,1,29,2,30,1,6,1,30,2,29,1,30,4,6,1,30,5,6,1,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,30,4,6,1,30,2,29,1,6,1,30,2,6,1,28,2,6,2,30,2,6,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,3,30,1,28,1,6,1,30,1,28,1,29,1,30,2,6,1,30,2,6,1,30,2,28,38,9,1,30,1,28,217,6,1,30,1,6,1,13,2,30,1,6,1,13,1,7,1,30,1,29,1,6,3,30,1,6,1,13,1,8,1,9,2,13,1,6,1,29,2,6,2,30,1,13,1,28,1,7,1,6,1,13,1,30,1,7,1,29,2,6,3,29,2,13,1,30,1,7,1,30,1,29,1,13,3,7,1,13,1,30,1,29,1,6,1,13,2,7,1,13,1,6,1,13,1,7,1,13,7,30,1,6,1,13,1,7,1,6,1,13,1,6,1,13,8,9,1,12,1,17,13,11,1,8,1,13,1,9,1,13,2,8,1,13,2,9,1,13,3,8,1,9,1,13,1,9,1,10,1,11,1,17,3,16,1,17,4,9,1,11,2,7,1,13,2,9,1,8,1,13,3,24,1,8,1,9,1,8,3,9,2,12,1,9,2,6,1,30,1,28,13,30,1,28,14,6,1,28,13,30,3,28,4,6,2,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,46,30,1,28,6,6,1,28,6,30,1,6,1,30,1,28,46,30,1,6,1,28,1,30,1,28,5,30,3,28,4,30,1,28,4,30,1,28,5,30,1,28,12,30,3,28,4,30,1,28,12,8,1,17,2,9,1,8,1,13,1,8,1,13,2,6,2,28,2,30,1,29,1,28,4,30,1,28,2,30,1,13,4,9,1,11,1,17,2,9,1,28,7,8,2,9,1,28,41,9,1,13,1,29,1,28,3,8,1,17,3,11,1,9,1,8,1,9,4,16,1,17,3,13,1,28,6,9,1,13,1,6,1,28,10,30,1,6,1,30,1,29,1,6,1,28,6,17,1,}, {7,1,29,1,13,1,24,1,8,1,24,1,8,1,24,1,11,1,9,1,16,1,9,1,17,4,9,1,13,2,8,2,13,1,17,6,10,1,11,1,16,1,11,1,12,2,24,1,12,1,15,1,12,1,13,1,8,2,7,1,13,1,8,1,12,1,17,1,16,1,11,1,7,1,8,1,7,1,8,1,6,1,9,1,24,1,17,4,12,1,16,2,17,1,14,1,9,1,6,1,8,1,13,1,6,1,24,1,9,1,10,1,11,1,12,1,17,1,9,2,13,1,28,1,30,1,7,1,8,1,12,1,11,2,17,2,16,1,17,36,16,1,17,1,16,3,17,2,11,1,29,1,6,1,13,1,7,1,6,1,10,1,8,1,9,1,8,1,29,1,28,33,29,1,30,1,13,1,24,1,8,1,17,1,11,1,9,1,6,1,29,1,7,1,28,1,6,1,30,1,10,1,17,2,12,1,17,3,9,6,10,1,9,1,13,1,8,1,13,3,9,3,10,1,13,1,9,2,11,1,17,4,9,1,6,1,28,13,30,2,6,2,30,2,6,1,30,2,6,1,30,1,6,1,30,3,7,1,30,1,28,1,6,1,30,2,13,1,29,1,30,8,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,4,28,1,30,2,6,1,28,2,30,5,28,2,30,1,29,1,28,5,30,2,28,2,30,1,6,1,30,1,28,1,30,4,28,4,30,1,28,2,6,1,28,1,30,1,28,2,30,1,28,35,30,1,28,11,30,1,28,16,30,3,28,1,30,2,28,5,29,1,6,1,25,1,24,10,12,2,24,2,12,1,24,1,12,1,24,2,12,1,24,14,25,4,24,1,25,1,26,4,29,1,27,1,26,1,25,3,27,1,29,1,27,1,29,1,27,1,29,1,30,1,28,2,30,2,28,2,30,1,28,9,30,1,28,12,30,3,6,1,7,1,8,1,24,9,25,1,27,1,29,1,28,2,30,1,28,11,30,1,7,1,24,1,10,1,24,11,12,1,24,2,12,1,24,1,17,1,12,2,24,1,12,6,17,1,12,8,24,1,15,1,12,4,15,2,24,4,25,1,24,7,17,1,12,1,15,1,12,1,24,2,25,1,24,5,25,1,24,1,8,1,25,6,27,1,25,1,26,1,25,4,24,1,25,1,24,2,25,1,24,5,25,4,8,1,25,1,24,9,25,1,8,2,26,1,30,2,28,18,30,1,28,20,30,1,28,3,30,1,28,30,30,3,28,5,30,2,28,11,30,1,28,37,29,1,30,1,13,1,6,1,28,1,30,1,28,11,29,1,28,22,30,1,28,26,30,1,28,1,30,2,28,2,30,7,28,1,30,3,6,1,28,1,30,3,7,1,30,2,6,1,30,6,29,1,28,1,30,4,6,1,30,1,13,1,29,1,30,1,6,1,28,2,30,2,6,2,28,1,6,2,30,3,6,2,30,1,29,1,30,1,6,2,29,3,6,1,29,1,6,3,30,5,6,1,30,1,6,1,30,1,6,1,13,1,29,2,7,2,6,7,13,5,30,1,6,1,13,1,6,1,8,1,13,2,6,1,7,1,30,2,6,1,29,1,28,2,30,1,28,1,30,1,28,4,30,1,28,21,30,1,28,3,30,1,28,1,30,3,28,2,29,1,30,2,28,1,13,1,6,1,30,2,29,1,30,1,28,1,30,2,28,1,30,6,28,1,30,1,29,1,13,2,30,1,13,1,6,2,13,1,6,2,7,1,30,4,6,1,28,1,30,1,28,1,6,1,30,1,29,1,6,1,30,2,6,1,28,1,30,1,28,2,30,4,28,1,30,2,13,1,28,3,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,6,3,30,1,8,2,13,3,7,1,29,1,13,1,28,2,6,1,9,1,13,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,30,1,6,1,8,1,6,2,30,1,28,1,30,1,28,1,30,2,6,2,28,1,30,1,6,2,13,1,6,1,30,2,6,1,30,3,28,1,6,2,30,1,29,2,30,2,28,1,30,2,6,1,29,1,28,1,6,1,30,1,28,1,30,1,28,2,29,2,30,2,6,2,13,1,6,1,30,1,13,1,6,1,13,2,28,1,6,2,30,1,29,1,6,1,30,1,6,1,28,2,30,1,6,1,30,1,28,1,6,2,29,1,30,2,6,1,9,1,6,1,29,3,30,1,6,1,28,1,6,1,30,1,29,1,28,2,6,1,30,6,28,1,30,2,28,1,30,5,28,1,30,1,28,1,30,1,28,1,6,1,13,2,30,3,28,1,30,3,6,3,30,1,29,1,30,1,13,1,30,3,29,1,28,1,6,1,30,2,6,1,28,1,9,1,6,1,8,1,17,1,28,1,30,3,28,1,6,1,28,4,13,1,30,2,6,2,30,1,6,4,29,1,6,1,28,1,6,1,30,1,29,1,6,2,29,1,6,2,29,1,30,3,13,2,28,1,29,1,28,1,30,1,29,1,28,1,6,1,28,1,30,1,6,1,30,3,6,1,30,5,29,1,30,1,29,1,30,4,28,1,6,1,30,2,6,2,29,1,30,1,6,1,30,1,29,1,28,1,6,1,29,1,30,3,8,1,6,1,28,1,6,1,30,9,6,2,29,1,30,1,29,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,6,1,13,1,6,1,30,5,6,1,29,1,28,4,30,1,28,9,30,1,28,50,30,1,28,38,30,3,28,15,30,1,28,1,6,1,28,4,30,1,28,1,30,2,28,1,30,2,28,1,7,1,29,1,6,3,28,1,29,1,30,1,6,1,13,1,6,1,13,1,30,5,6,1,30,1,28,2,6,1,30,2,28,1,30,2,28,1,6,2,13,2,30,1,28,1,30,1,6,1,29,1,30,1,29,1,28,1,13,1,7,1,13,1,6,1,7,1,13,3,11,1,13,2,30,1,6,1,30,2,28,1,30,1,28,1,29,1,30,2,6,1,28,1,6,1,29,1,30,2,28,1,6,1,30,1,6,1,30,5,29,1,30,3,29,1,30,1,28,2,30,5,29,1,30,1,29,1,6,1,29,1,30,2,6,2,30,2,29,2,28,1,30,1,6,1,30,3,28,1,30,2,28,1,29,1,28,1,30,3,29,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,30,1,6,1,28,9,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,18,30,1,28,1,13,1,30,1,28,17,30,2,28,2,30,1,28,20,6,1,28,64,30,1,28,112,30,1,29,1,6,1,13,1,29,1,7,1,6,1,29,1,6,1,13,1,6,1,13,4,28,3,30,1,6,1,30,2,6,3,13,1,30,1,6,1,28,1,6,2,28,1,30,1,29,1,30,1,6,5,7,1,30,1,13,1,7,1,29,1,13,2,6,1,7,1,13,2,6,1,13,3,8,1,13,1,8,1,13,1,7,1,13,1,8,2,13,5,7,1,6,1,13,4,7,1,13,1,24,1,9,1,8,1,9,2,10,2,12,1,17,14,9,1,13,2,8,3,6,1,13,4,8,1,13,1,9,1,10,1,11,1,12,1,17,1,12,1,17,6,12,1,10,1,8,1,9,1,8,4,7,1,8,1,24,1,8,1,13,4,8,1,9,1,13,1,9,1,13,1,30,1,28,3,30,1,28,3,30,2,28,1,30,1,28,4,30,1,28,11,6,1,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,7,30,1,28,3,13,1,6,1,28,2,30,1,28,1,30,2,28,1,30,1,28,4,30,2,28,49,30,1,28,10,30,1,6,1,13,2,30,1,29,1,30,2,28,3,30,1,28,2,30,2,28,21,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,11,30,1,28,7,30,1,28,1,30,1,28,16,30,2,28,18,6,1,17,2,9,1,8,2,13,1,6,1,29,1,7,1,6,1,30,1,28,4,6,1,28,1,6,1,28,1,6,1,30,1,13,5,8,1,11,1,17,2,13,1,28,7,10,1,8,2,28,2,29,1,28,38,6,1,24,1,7,1,28,2,30,1,9,1,17,2,16,1,17,1,11,1,9,1,8,1,9,2,16,3,17,2,13,1,28,2,30,2,28,2,10,1,13,1,7,1,28,9,6,1,29,1,13,1,30,1,6,2,28,5,6,1,16,1,}, {29,1,13,1,9,1,13,1,8,3,15,1,17,1,9,1,17,5,10,1,9,1,13,2,8,1,24,1,8,1,9,1,17,4,16,1,9,2,17,1,9,1,10,1,9,1,24,1,12,1,15,1,9,1,8,2,24,1,13,1,8,2,12,1,17,2,9,1,8,2,13,1,6,3,8,1,17,3,12,1,10,1,11,2,17,1,12,1,8,1,6,2,13,1,6,1,29,1,13,2,12,1,9,1,24,1,11,1,12,1,11,1,8,1,29,1,28,1,6,1,13,1,9,2,10,1,9,1,17,35,16,2,11,1,17,1,16,1,17,4,16,1,8,1,28,1,13,2,6,1,13,2,24,1,9,1,6,1,28,33,30,1,6,1,13,1,24,1,12,1,17,1,11,1,8,1,13,1,6,2,28,1,29,1,6,1,8,1,17,4,11,1,16,1,17,1,10,1,9,1,11,1,13,3,9,1,13,2,8,2,13,3,8,1,9,1,8,1,9,1,8,1,11,1,10,1,17,4,28,15,6,2,29,1,7,1,30,2,6,2,30,1,28,1,29,1,28,1,30,4,7,1,13,2,6,1,30,1,28,1,30,1,28,6,30,3,28,1,30,2,28,1,29,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,2,30,4,6,2,30,1,28,1,30,5,28,3,30,1,28,1,13,1,30,1,6,1,30,2,28,1,30,2,28,3,30,1,28,35,30,1,28,24,30,3,28,9,30,1,28,1,30,1,28,7,30,1,28,1,30,1,6,1,24,2,8,1,24,9,12,1,24,6,12,1,24,10,25,1,24,5,25,1,24,1,25,6,27,2,26,1,27,2,25,1,29,1,27,2,29,1,27,1,29,3,30,3,29,1,28,22,30,1,28,3,6,1,24,1,8,3,24,8,25,1,27,1,29,1,30,2,28,7,30,1,28,4,30,1,28,1,30,1,7,1,13,1,24,8,12,1,24,3,12,2,24,1,12,6,24,5,12,7,15,1,12,1,24,1,15,1,12,1,17,2,12,1,15,1,12,3,24,2,17,1,24,1,12,1,15,1,24,3,12,3,24,1,12,1,24,3,25,1,24,1,25,6,26,1,27,1,26,1,25,5,27,1,25,3,24,2,25,6,24,1,25,6,8,1,24,8,25,2,8,1,26,1,29,1,6,1,30,2,28,9,30,1,28,2,30,1,28,52,30,1,6,1,28,28,30,1,28,10,30,2,28,12,30,1,28,3,30,1,28,7,30,1,28,1,6,1,13,1,6,1,30,1,28,2,30,1,28,7,30,1,28,1,30,1,28,6,30,2,28,10,30,1,28,18,30,1,28,3,30,1,28,2,30,1,28,2,30,5,28,1,30,2,29,1,6,1,30,1,6,1,28,1,30,3,13,1,6,1,28,1,30,4,13,1,6,2,7,1,28,1,30,6,29,1,6,2,13,1,29,2,6,1,13,1,28,1,29,1,30,1,6,1,30,1,6,1,29,1,6,1,28,1,6,1,29,2,30,1,29,1,6,1,13,1,6,3,30,2,6,1,30,1,6,1,29,1,6,4,30,1,6,1,30,1,6,2,30,4,28,1,6,2,28,1,6,2,30,1,29,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,2,28,1,6,1,28,1,30,1,28,4,30,1,28,1,30,1,28,3,7,1,28,17,30,2,28,2,29,1,10,1,11,1,8,1,13,1,29,1,6,1,8,1,13,1,6,1,30,2,13,1,30,1,7,1,13,3,6,1,9,1,7,1,13,1,6,3,30,1,6,3,30,1,6,2,7,1,30,2,6,2,29,1,6,1,30,1,6,4,30,2,6,1,30,2,29,2,30,1,29,1,30,2,6,1,30,1,29,1,30,1,6,1,28,1,30,2,28,1,6,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,3,28,1,6,1,30,4,28,1,6,1,28,1,30,4,28,1,29,1,30,1,6,1,30,1,28,1,30,1,6,1,13,1,30,1,6,1,30,1,29,1,6,2,29,2,30,1,13,3,6,1,30,2,28,1,30,1,6,1,30,2,9,2,13,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,13,1,6,1,30,2,6,1,30,1,28,1,29,2,28,1,6,1,30,1,29,1,6,2,30,1,6,2,28,4,30,6,6,2,30,1,6,2,29,2,30,4,28,1,30,1,6,1,7,1,30,2,29,1,6,1,30,1,29,1,28,1,29,1,6,4,7,2,6,1,29,1,6,1,30,1,29,2,30,1,6,2,30,2,6,1,30,2,6,2,29,1,6,1,13,2,6,1,30,1,6,3,29,1,6,1,30,1,13,1,6,3,7,1,30,1,6,4,30,1,6,1,28,1,30,6,29,1,30,1,28,1,30,4,6,2,30,3,29,1,30,1,28,1,30,2,6,1,30,1,6,1,29,1,28,1,9,1,30,4,6,1,29,1,28,1,30,2,28,1,13,3,16,1,28,1,30,1,29,2,30,1,28,2,30,1,8,1,9,1,13,2,6,1,28,2,30,4,6,1,28,1,6,1,29,1,28,1,6,1,30,1,28,2,13,1,29,1,28,2,30,2,6,1,28,1,30,2,6,1,29,1,28,1,29,1,30,1,6,2,30,2,28,1,30,1,6,1,30,1,29,1,30,1,28,2,30,5,29,1,6,1,29,1,30,6,6,1,30,2,28,1,30,1,29,1,6,2,28,1,29,1,28,1,13,1,6,1,28,1,29,1,28,1,30,4,29,1,30,1,6,1,30,6,6,1,30,1,29,1,6,2,7,1,30,1,28,1,13,1,9,1,6,1,28,1,6,1,30,2,6,1,30,2,7,1,6,1,30,2,6,1,29,2,30,1,6,1,30,1,28,1,29,1,6,1,30,1,6,1,30,1,29,1,30,4,6,2,30,2,28,1,30,4,28,1,30,2,6,1,30,2,6,3,30,1,29,1,6,5,30,2,6,2,30,1,29,1,28,2,6,4,30,1,6,1,13,1,29,1,28,1,30,1,29,1,6,2,28,1,13,2,28,1,30,1,28,37,6,1,13,1,28,27,30,1,28,9,30,1,28,17,8,2,6,2,13,2,29,1,30,3,6,2,29,1,6,1,13,5,9,2,8,1,29,1,30,1,6,1,29,1,6,1,30,1,28,1,30,3,28,1,30,1,6,1,30,2,29,1,6,1,29,1,30,1,6,1,28,1,29,1,30,1,28,1,30,6,28,1,30,1,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,2,28,1,30,3,6,6,30,2,29,1,30,4,29,1,30,1,29,2,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,28,1,30,1,13,1,7,1,6,1,28,1,30,2,28,2,30,3,28,2,30,1,28,1,30,2,28,2,6,1,28,1,30,1,28,1,30,2,29,1,30,1,6,1,28,2,30,1,28,2,30,1,28,1,30,4,28,1,30,1,28,2,9,1,28,1,30,1,28,9,30,1,28,8,30,1,28,21,30,1,28,36,30,2,28,57,30,1,28,41,30,1,28,45,30,3,6,1,30,3,28,8,6,1,13,1,6,1,13,1,29,1,6,3,30,1,7,1,30,1,6,1,30,2,6,3,29,1,6,5,29,1,13,1,6,1,13,1,29,1,7,1,13,1,29,1,7,1,13,3,6,1,8,2,7,1,13,6,6,1,13,4,6,2,13,1,8,2,24,1,8,1,10,2,9,1,8,1,12,1,11,1,10,1,17,12,11,1,17,1,16,1,9,1,8,3,10,1,13,1,8,1,13,1,8,2,13,1,8,2,9,1,8,1,10,2,12,1,17,1,12,1,17,5,10,1,13,1,7,1,13,2,8,2,13,2,8,1,13,3,8,1,13,1,7,1,13,1,8,1,13,1,30,1,28,6,30,1,28,3,30,2,28,5,30,1,28,2,30,1,28,6,6,1,30,1,28,16,30,1,28,2,6,1,13,1,6,1,28,6,30,1,28,1,30,3,28,4,30,1,28,2,30,1,28,7,30,1,28,6,30,1,28,45,30,1,29,1,30,1,29,1,6,1,28,1,30,1,6,1,28,1,30,2,28,1,29,1,28,1,30,1,28,26,30,1,28,1,6,2,30,2,28,1,30,1,28,2,30,2,28,5,30,1,28,4,30,1,28,19,30,2,28,17,13,1,17,2,9,1,10,1,6,1,13,1,6,1,13,1,6,2,28,1,30,1,28,3,7,1,28,1,30,1,29,1,28,1,30,1,13,4,9,1,13,1,10,1,11,1,17,1,13,1,28,6,13,1,11,2,17,1,6,1,28,1,30,1,28,38,6,3,30,2,6,1,9,1,17,3,9,2,13,2,9,1,10,1,9,1,17,1,16,1,17,2,6,1,28,3,30,1,28,1,30,1,10,1,8,1,28,10,30,1,29,1,6,1,30,1,6,2,28,5,6,1,17,1,}, {30,1,6,1,8,1,13,1,8,1,10,1,24,1,11,1,8,1,11,3,17,3,9,2,8,2,13,3,11,1,17,4,11,2,9,1,11,1,24,1,16,1,13,1,10,1,9,1,14,1,15,1,8,1,24,1,13,1,8,1,13,1,8,1,11,1,17,1,9,1,12,1,8,2,13,1,7,1,6,2,13,1,9,1,17,3,11,2,15,1,9,1,10,1,9,1,13,3,7,1,6,1,29,2,7,1,9,2,10,1,9,1,11,1,17,1,9,2,30,1,28,2,13,2,17,38,11,1,16,1,17,2,16,1,17,3,6,4,8,2,9,1,8,1,9,1,30,1,28,33,30,2,13,1,8,1,10,1,17,2,6,1,30,2,6,1,30,1,6,1,28,1,13,1,17,4,16,1,11,1,17,1,9,1,11,1,10,1,8,1,16,1,12,1,8,1,9,1,13,3,7,2,13,2,8,3,9,2,11,1,10,1,17,3,6,1,28,13,30,1,6,1,30,1,6,2,29,2,28,1,30,2,6,1,28,1,30,1,28,2,30,4,28,16,30,1,29,1,28,4,30,1,28,2,30,2,28,3,30,4,6,1,29,1,30,1,28,1,30,2,29,1,30,2,29,1,30,1,28,1,6,1,28,1,6,1,30,1,6,1,28,1,30,2,28,4,30,1,28,1,30,1,28,7,30,1,28,56,30,1,28,1,30,4,28,3,30,1,28,1,30,1,28,9,30,1,29,1,13,1,8,3,24,1,25,1,24,6,12,1,24,3,12,2,24,20,25,2,24,1,25,3,27,2,26,1,27,1,25,1,27,1,26,1,25,2,27,2,30,1,29,1,30,1,29,2,30,2,28,2,30,1,28,6,30,2,28,16,7,1,24,9,25,1,26,1,27,1,30,1,28,2,30,1,28,8,30,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,7,1,25,1,24,4,15,1,24,2,12,1,24,4,12,1,24,2,12,1,24,1,12,2,24,3,12,1,24,2,15,1,17,2,12,1,17,1,12,3,15,1,12,1,24,2,17,1,12,1,24,1,17,1,12,1,24,2,12,1,24,8,17,1,12,1,15,1,12,1,24,1,25,1,24,2,25,1,24,1,25,6,8,1,25,1,27,3,25,1,27,1,25,10,24,3,25,1,24,1,25,1,24,1,25,2,24,2,15,1,24,1,15,1,24,3,8,2,26,1,6,2,30,1,29,1,28,9,30,1,28,6,30,1,28,9,30,1,28,2,30,1,28,1,30,1,28,17,30,1,28,25,6,1,28,15,30,1,28,3,30,1,28,33,30,1,28,1,30,1,28,5,9,1,29,1,28,15,30,1,28,4,30,1,28,23,30,1,28,1,30,1,28,5,30,2,28,2,30,1,28,1,6,1,30,2,6,1,30,4,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,3,28,2,30,4,13,2,6,1,13,1,28,1,29,1,30,4,6,1,30,1,29,2,30,1,6,1,30,1,13,2,30,1,6,1,28,1,6,1,30,7,29,1,6,1,7,1,30,1,6,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,23,30,1,28,6,30,1,28,3,30,1,28,3,30,1,28,2,6,1,13,1,28,1,30,1,28,4,30,2,7,1,6,2,29,1,6,1,28,1,13,3,7,1,13,3,6,1,9,1,13,1,6,3,28,1,6,1,28,1,6,2,7,1,6,2,29,1,13,1,6,1,29,1,7,1,13,1,6,3,29,1,6,1,7,1,13,2,30,1,6,2,30,2,29,2,6,1,30,1,6,3,29,1,28,1,6,1,30,2,28,1,6,1,29,1,30,1,29,1,30,1,28,1,6,1,7,1,6,1,30,5,29,1,30,3,28,1,30,1,6,1,30,2,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,6,2,28,2,30,1,28,3,30,1,13,1,6,1,28,3,30,1,6,1,29,1,6,1,13,3,6,3,30,2,6,1,28,1,30,1,13,1,7,1,6,1,28,1,30,2,29,1,30,2,28,1,30,2,6,1,13,1,30,3,6,1,13,2,6,4,28,1,30,1,28,1,30,1,6,2,30,1,28,2,30,1,28,1,30,3,6,1,30,1,6,1,30,1,6,2,29,2,6,4,28,2,29,1,28,1,30,1,28,1,30,3,13,1,6,1,30,1,6,1,30,3,6,1,30,2,6,1,30,6,6,1,30,3,28,1,29,1,30,1,6,2,30,1,6,3,13,1,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,2,6,1,28,1,6,1,13,1,29,1,30,4,28,1,30,2,28,1,30,3,28,2,30,3,28,2,30,1,13,1,6,3,30,5,6,2,30,3,28,1,13,1,30,1,6,1,30,1,28,1,30,2,29,1,6,2,28,1,10,1,11,1,9,1,16,1,13,2,11,1,13,1,9,2,13,1,9,1,13,1,6,1,11,1,29,1,6,2,13,1,6,1,30,1,13,1,28,1,13,1,8,1,6,1,7,1,9,1,30,3,29,1,13,1,6,2,30,1,28,1,6,1,28,1,6,1,28,1,6,2,28,1,30,2,28,2,30,1,28,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,30,1,28,1,6,1,30,1,6,2,30,2,28,1,6,1,30,6,6,1,29,1,28,1,6,1,28,1,30,2,13,1,30,1,28,3,30,2,29,1,28,1,30,3,28,1,30,3,29,2,28,1,30,1,6,2,30,1,6,2,28,1,17,1,6,1,28,1,6,1,29,1,30,3,28,1,6,1,30,2,6,1,30,1,6,1,29,1,30,4,6,1,30,2,6,1,30,1,13,1,28,1,7,1,30,2,29,1,28,1,30,1,6,2,30,1,6,1,28,1,29,1,30,1,13,1,30,1,29,1,6,5,29,1,6,1,30,4,6,1,30,5,28,1,13,2,30,1,6,1,30,1,6,1,30,2,29,1,6,6,29,1,7,1,6,1,13,1,30,1,29,1,6,1,30,1,13,1,30,1,7,1,28,1,29,1,30,4,6,1,30,2,28,1,30,1,13,2,8,1,16,1,11,1,9,1,6,1,30,3,13,1,6,1,30,1,28,1,30,2,6,1,28,1,30,1,28,1,30,1,6,1,13,1,30,1,28,2,30,1,28,4,30,1,28,7,30,1,28,11,30,1,28,1,30,1,28,6,30,2,28,20,7,1,9,1,28,7,29,1,13,5,16,1,8,1,6,1,30,1,7,1,30,3,28,1,6,1,30,2,6,1,30,1,13,1,6,2,29,1,30,2,6,2,30,1,6,1,7,1,30,3,6,1,30,1,28,2,30,1,29,1,30,5,6,1,30,1,6,2,30,1,29,1,30,1,29,1,30,2,6,1,30,1,6,2,28,1,30,6,28,1,30,2,29,1,30,2,29,1,28,1,6,1,28,1,6,1,28,1,30,4,29,1,30,1,6,1,30,1,13,2,30,2,28,1,30,1,28,5,30,2,28,1,30,1,28,2,29,1,28,1,30,9,13,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,6,1,30,1,28,1,13,1,6,1,30,1,28,1,30,2,28,3,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,30,3,28,19,30,1,28,47,30,1,28,152,6,1,13,3,30,1,6,6,30,1,6,1,28,1,30,3,6,3,13,1,6,7,30,1,13,5,7,1,13,1,29,1,6,1,13,4,7,1,8,1,13,1,8,1,7,1,13,1,7,1,13,1,9,1,13,1,8,1,24,1,8,1,17,1,12,1,8,1,9,1,24,1,10,1,11,1,17,15,16,1,11,1,17,1,9,1,10,1,9,1,8,1,9,1,13,1,8,3,13,1,9,1,13,1,9,2,11,2,17,5,12,1,11,1,8,2,9,1,8,1,7,1,13,1,8,1,13,1,6,1,13,2,8,2,13,3,6,1,29,1,28,9,30,2,28,4,30,1,28,1,30,2,28,6,30,1,6,2,28,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,6,1,13,1,28,3,30,1,28,2,6,1,28,6,30,1,28,4,30,2,28,10,30,1,28,5,30,2,28,9,30,1,28,44,30,1,28,27,30,1,28,3,29,1,6,1,28,3,30,1,28,10,30,2,28,22,29,1,28,5,30,1,28,11,13,1,17,2,10,1,8,1,7,1,13,1,7,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,6,3,8,1,13,1,9,1,16,1,17,2,13,1,28,6,13,1,10,1,12,1,9,1,28,4,29,1,13,1,28,9,30,1,28,25,13,1,8,1,7,1,29,1,30,1,13,1,17,3,16,1,9,4,8,1,16,1,17,1,16,2,17,2,6,1,28,5,6,1,8,1,13,1,29,1,28,8,30,1,28,1,29,1,28,1,7,1,13,1,28,6,13,1,17,1,}, {28,1,13,1,8,1,13,1,8,1,13,2,15,3,16,1,17,4,16,1,9,1,8,2,9,2,8,1,16,1,17,2,16,2,17,1,9,1,15,2,11,1,8,1,24,1,8,2,15,1,14,1,8,1,9,1,24,1,13,2,7,1,10,1,16,1,17,2,8,2,6,1,7,1,6,1,13,1,6,1,17,4,9,1,10,2,17,1,9,2,13,1,6,2,7,2,6,1,7,1,30,1,13,2,8,2,9,1,11,2,10,2,6,1,28,2,30,1,13,1,9,1,17,7,11,1,17,14,16,1,17,13,16,2,17,6,6,3,8,1,7,1,8,2,24,2,6,1,29,1,28,33,30,1,13,1,10,1,9,1,17,2,13,1,30,2,6,2,30,1,29,1,9,1,17,5,12,1,9,1,11,1,9,2,17,1,11,2,9,2,13,1,9,1,13,2,6,1,9,1,11,2,10,1,13,2,9,2,17,4,13,1,28,13,6,2,13,1,7,1,6,1,30,1,28,1,30,1,28,2,30,2,28,30,6,1,28,1,30,2,29,1,6,1,13,1,30,1,6,2,29,1,28,6,30,1,28,1,30,1,28,1,30,7,6,1,28,1,30,1,28,1,30,1,28,59,30,1,28,2,30,4,28,1,30,1,28,4,30,2,28,5,30,1,28,8,30,1,28,3,29,1,24,6,8,1,24,6,12,2,24,22,25,1,24,1,25,2,26,1,25,2,8,1,27,3,25,1,26,1,25,1,27,2,29,5,30,1,28,3,30,3,28,1,30,1,28,2,29,1,6,1,29,1,30,2,28,2,30,1,28,6,30,2,28,1,30,1,6,1,8,1,24,1,25,1,24,5,8,1,25,1,27,1,29,1,28,17,30,3,28,2,30,2,6,2,25,1,24,9,12,1,24,3,15,1,24,1,12,3,24,2,12,1,24,3,12,1,15,1,24,1,12,2,17,1,12,2,17,1,12,1,17,2,15,2,12,1,15,1,24,10,12,1,24,1,17,1,24,11,25,4,24,1,25,1,24,1,27,1,24,1,25,1,24,1,8,1,26,1,25,2,24,2,25,5,24,1,25,3,24,8,25,1,8,2,7,1,29,1,6,2,7,1,6,1,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,3,30,2,28,1,30,4,13,1,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,43,30,1,28,12,30,1,29,1,28,6,30,1,28,7,29,1,28,17,30,1,28,3,30,1,28,4,30,1,28,1,30,2,28,1,29,1,6,1,28,3,30,1,28,4,30,1,28,3,30,3,28,2,30,1,28,3,30,2,28,8,29,1,28,5,30,2,28,3,6,1,30,1,28,1,6,1,30,2,6,1,30,4,28,1,30,4,28,1,30,2,28,2,6,1,30,6,6,2,30,3,6,1,30,3,28,3,6,2,28,1,13,1,30,1,29,2,30,2,6,1,30,1,28,1,6,1,28,1,6,1,30,2,6,1,30,2,28,1,30,2,28,2,30,1,6,1,30,1,28,3,30,1,28,37,30,4,6,1,28,1,30,3,28,2,30,5,6,1,30,3,6,2,13,1,6,1,30,3,6,1,7,1,29,1,6,2,30,1,28,1,30,2,6,3,28,1,29,1,6,1,30,1,29,1,28,1,6,1,29,1,13,1,6,1,29,1,6,7,30,1,6,1,29,2,6,1,29,1,6,2,29,2,30,2,6,1,29,1,28,2,6,1,30,2,6,1,30,1,6,1,13,1,6,1,30,2,29,1,28,1,30,5,6,1,30,2,29,2,30,3,28,1,29,1,28,1,30,2,28,5,30,4,28,3,30,1,28,1,30,1,28,1,30,2,28,1,6,1,30,1,6,1,30,1,28,7,30,2,28,1,30,1,6,1,30,1,28,2,30,1,28,2,13,1,9,1,6,1,13,1,6,1,30,1,6,1,7,1,30,1,6,1,13,2,30,1,28,3,30,1,28,1,30,1,7,1,13,1,29,1,6,1,28,3,30,2,6,3,13,1,30,1,6,1,30,1,6,1,30,4,29,1,30,1,6,1,30,2,28,1,30,1,6,1,28,1,30,1,6,1,30,2,28,3,30,2,7,1,28,1,13,1,6,1,7,1,6,3,30,1,28,2,30,2,28,6,30,1,28,1,30,1,6,1,30,1,28,2,30,1,28,2,30,2,28,3,30,1,28,2,6,1,28,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,6,1,28,1,30,1,6,1,13,1,29,2,30,1,6,4,13,1,29,1,30,1,29,1,6,1,28,1,30,1,6,1,29,1,30,1,28,5,30,1,28,2,30,3,28,1,30,1,28,1,6,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,28,2,30,3,28,1,30,1,28,1,11,1,9,1,28,2,30,2,29,1,28,1,6,1,30,1,28,1,17,1,13,1,9,1,17,1,30,1,6,2,7,1,6,2,30,1,6,2,28,1,16,1,30,2,6,1,7,1,6,1,30,1,13,1,30,1,29,1,28,2,6,1,11,1,6,1,28,3,7,1,28,1,30,1,28,3,30,2,28,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,2,30,1,6,1,28,1,30,3,28,4,30,1,28,1,30,1,28,1,30,1,28,3,29,1,30,1,28,3,6,2,28,1,30,1,28,2,30,4,13,1,30,1,28,1,30,3,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,7,10,1,28,1,30,1,28,2,30,4,28,1,29,1,30,1,28,2,30,2,28,1,30,4,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,2,30,2,28,1,30,1,28,2,30,1,6,1,30,2,28,1,29,1,30,3,28,2,30,2,6,1,28,1,30,2,28,2,6,1,30,1,28,1,6,3,29,2,6,2,13,3,6,1,29,1,13,1,29,1,13,1,6,1,7,1,6,6,30,1,29,1,6,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,6,2,30,1,29,1,30,1,28,1,30,2,6,1,28,1,6,3,30,1,29,1,30,2,29,1,6,1,29,1,30,1,28,2,29,1,30,2,28,1,30,1,28,2,30,3,6,1,30,2,29,1,30,3,29,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,6,3,30,2,28,1,30,1,29,1,6,1,28,1,6,1,28,9,30,1,28,2,30,3,28,2,30,1,28,1,30,2,28,1,6,1,9,1,28,8,30,1,6,1,30,1,13,2,11,1,13,1,28,3,30,1,28,6,30,1,28,5,29,1,30,1,7,1,6,1,30,2,28,3,30,1,28,1,30,1,28,3,30,1,28,5,30,1,29,1,13,1,6,1,28,1,6,1,29,1,7,1,13,1,6,6,30,1,29,1,28,1,6,1,30,3,6,1,30,1,28,2,29,1,30,1,6,2,28,1,30,3,29,1,30,4,29,1,30,1,13,1,6,1,30,4,28,8,30,3,28,1,30,1,6,1,30,1,28,1,30,5,6,1,29,1,30,1,28,1,6,2,30,1,28,1,6,1,28,1,30,2,6,1,28,2,9,1,30,1,28,1,6,1,30,1,28,1,30,7,28,2,30,3,28,1,30,1,28,2,30,4,6,2,30,2,28,2,30,1,28,2,30,2,28,1,30,2,28,4,30,1,28,1,30,1,28,14,30,1,28,4,6,1,30,1,28,11,30,3,28,25,30,1,28,2,30,1,28,29,6,1,28,105,13,1,9,1,6,3,7,1,29,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,29,1,30,1,6,2,13,1,6,1,30,2,6,1,30,1,29,1,13,1,29,1,6,1,13,1,6,1,13,1,8,1,13,2,8,1,13,3,7,1,13,8,8,1,13,1,8,3,17,1,12,1,13,1,8,2,24,1,9,1,12,2,17,14,11,1,17,2,11,1,12,1,11,2,9,2,8,1,13,1,9,1,8,3,10,1,9,1,12,1,10,1,12,1,17,5,11,1,9,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,24,1,8,1,13,1,6,1,30,1,28,19,30,2,28,6,6,1,28,1,30,1,28,2,30,4,28,3,30,1,28,7,30,1,28,3,30,2,28,7,30,1,28,2,6,1,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,10,30,1,28,4,30,1,28,6,30,1,28,68,30,1,28,1,30,2,28,4,6,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,22,30,1,28,1,30,1,28,4,30,1,28,12,12,1,17,2,10,1,13,3,7,1,28,2,30,1,28,5,29,1,28,4,30,1,7,2,13,1,9,3,11,1,17,2,13,1,28,6,7,1,13,2,9,1,30,1,28,3,30,1,28,14,29,2,28,2,6,1,7,1,6,1,8,1,13,1,9,1,12,1,30,1,28,9,29,1,9,1,29,1,13,1,30,2,13,1,17,3,11,2,9,1,12,1,13,2,16,3,17,3,6,1,28,4,30,1,28,1,9,1,8,1,30,1,28,8,30,2,6,1,13,1,6,2,28,4,29,1,28,1,6,1,17,1,}, {6,2,13,2,8,1,9,1,8,1,9,1,8,1,12,1,9,1,17,1,12,1,17,2,16,1,9,1,8,1,13,1,6,1,9,1,7,1,9,1,17,3,16,1,17,1,11,1,9,2,15,1,9,1,8,2,24,1,14,2,9,1,7,1,13,1,24,1,13,2,8,1,12,1,17,1,9,2,7,1,13,3,29,1,13,1,10,1,17,3,13,1,24,1,8,1,9,1,10,1,9,1,24,1,7,1,30,1,6,1,30,1,6,1,7,1,28,1,13,1,6,1,13,1,24,3,17,1,24,1,11,1,9,1,24,1,29,1,28,2,7,1,11,1,12,1,17,1,12,1,16,3,11,1,17,29,16,2,17,5,9,1,6,1,29,1,8,2,9,1,12,1,8,1,9,1,6,1,28,34,6,1,13,1,8,1,12,1,17,2,9,1,6,1,28,1,30,1,28,1,30,1,7,1,13,1,17,5,16,1,17,1,8,1,9,1,11,2,17,2,24,1,13,4,7,1,13,2,10,1,9,1,17,1,8,1,9,1,13,1,9,1,11,1,17,3,13,1,28,13,6,1,13,1,30,2,6,1,28,1,30,3,28,5,29,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,15,30,1,6,1,30,1,6,1,29,1,30,1,28,1,30,1,28,2,30,1,28,16,30,1,28,10,30,2,28,48,30,2,29,1,28,1,30,2,28,2,29,1,30,2,28,1,30,1,28,5,30,1,28,7,30,1,28,2,30,1,28,5,30,1,28,2,29,1,7,1,24,8,8,1,24,2,12,1,24,2,12,1,24,20,25,3,27,2,25,1,24,1,25,2,29,1,27,1,25,2,24,1,27,1,26,1,25,1,27,5,30,1,29,1,30,1,29,1,30,1,28,2,29,1,28,1,29,1,28,1,30,1,6,4,28,2,30,2,28,5,6,1,7,1,30,1,29,1,13,1,8,1,24,7,25,2,27,1,30,1,28,15,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,7,1,25,1,24,1,8,1,24,9,12,1,24,1,12,1,24,1,12,1,15,1,24,1,15,1,12,2,24,1,12,2,24,1,15,1,12,3,24,2,12,5,15,1,12,3,24,6,12,1,24,3,12,1,15,1,12,1,24,6,25,1,24,2,25,2,24,1,25,5,26,1,29,2,27,2,25,1,27,1,25,1,27,1,25,2,26,1,25,6,24,5,15,1,24,1,8,1,25,1,6,3,29,1,13,1,7,1,29,2,30,2,6,1,30,1,6,1,30,1,28,3,30,2,28,1,6,1,28,4,30,1,28,1,30,2,28,3,30,1,28,10,30,1,28,37,30,2,28,19,6,1,28,1,30,1,6,1,30,3,6,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,2,30,1,28,1,30,2,28,1,6,1,30,2,28,1,30,1,29,1,28,3,30,7,6,1,30,1,6,3,29,1,6,1,13,2,6,1,30,2,6,1,28,1,6,1,30,4,6,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,4,30,4,28,1,30,1,28,1,30,1,28,2,30,4,28,1,6,4,30,4,28,1,30,3,28,1,30,1,28,2,6,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,6,1,13,1,6,1,30,3,28,3,30,2,6,3,28,16,6,1,28,19,30,3,28,1,6,2,30,2,28,3,30,1,28,3,30,1,28,5,30,1,28,1,29,1,28,1,30,1,28,1,30,6,13,1,30,3,6,4,30,1,6,3,30,1,6,3,29,1,6,1,29,1,6,2,30,3,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,30,1,6,1,13,1,6,2,30,1,7,1,6,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,29,1,30,2,6,1,30,2,6,1,30,3,6,1,30,4,13,1,30,2,29,1,6,2,30,4,28,1,30,4,28,3,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,6,30,1,28,3,29,1,28,5,30,1,28,2,30,2,6,2,28,2,30,1,28,3,6,1,13,3,6,2,29,1,30,1,28,1,6,1,13,1,6,2,28,4,7,1,13,1,6,1,30,1,28,2,30,1,28,5,6,3,30,5,6,1,28,3,30,2,28,10,30,2,6,2,30,1,28,4,29,1,28,1,6,1,28,1,30,4,28,7,30,1,28,2,6,1,28,21,30,1,28,2,30,1,28,2,6,1,13,1,30,3,28,3,30,1,6,3,30,1,7,1,28,1,6,1,30,1,28,3,30,2,28,6,30,1,28,1,30,1,28,4,29,1,6,1,30,4,28,8,30,1,28,1,16,1,8,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,17,1,28,1,8,1,17,1,30,2,6,3,30,1,13,1,9,2,13,1,9,1,13,1,9,1,13,4,8,1,13,1,6,1,30,2,6,2,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,10,30,1,28,3,30,1,28,1,30,1,28,9,30,1,28,1,30,2,28,17,30,2,9,1,30,1,28,4,30,1,28,4,30,1,28,5,30,1,28,6,13,1,6,1,28,3,30,1,28,12,30,1,28,9,30,1,28,7,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,1,29,1,30,4,6,1,30,1,29,1,6,2,29,1,6,2,29,1,13,1,6,1,13,1,6,1,7,1,13,3,7,1,13,1,30,1,6,3,30,1,6,1,29,2,30,1,6,1,30,1,6,1,30,3,28,1,30,2,29,1,30,3,6,1,30,1,6,1,29,1,30,1,6,1,29,1,30,4,6,1,30,2,29,1,28,1,29,1,30,6,6,2,30,5,28,1,30,2,6,1,30,1,6,3,30,1,29,1,6,1,30,2,6,1,29,2,30,2,6,1,30,1,6,1,30,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,2,6,1,29,1,13,4,6,2,30,1,13,2,30,1,28,2,30,2,28,2,30,1,6,1,7,1,6,1,13,3,28,47,30,1,28,2,30,2,28,6,30,1,28,2,30,1,28,2,30,1,6,1,30,1,28,2,30,1,28,1,30,2,6,1,30,2,6,1,30,1,6,1,13,1,6,1,30,2,28,1,30,1,6,1,30,1,28,3,6,1,30,6,28,1,30,2,28,1,30,1,28,1,30,7,28,1,6,1,28,2,30,3,6,1,30,3,9,1,28,1,30,2,28,1,30,2,28,4,30,4,28,2,30,1,28,3,30,2,28,1,30,2,28,1,30,4,28,2,30,1,28,3,30,1,29,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,6,1,28,6,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,3,30,2,28,11,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,7,30,1,28,27,6,1,30,1,28,78,30,1,28,26,30,1,9,1,13,1,8,1,7,1,30,1,6,1,29,1,30,1,7,1,30,2,6,1,29,1,30,2,28,1,7,2,30,2,6,2,30,1,7,1,6,2,13,2,6,1,13,3,8,1,6,1,13,2,6,1,7,1,13,2,8,1,13,1,7,1,8,1,13,5,8,1,9,2,11,1,13,1,29,1,7,1,13,1,24,1,8,1,12,1,17,1,12,1,17,13,16,1,10,1,17,2,12,1,11,1,17,2,11,1,17,1,9,1,13,1,9,1,8,1,9,1,13,2,9,1,12,1,11,1,17,6,11,1,9,1,13,4,8,1,13,4,8,1,13,3,30,1,28,7,30,3,28,2,30,1,28,8,30,1,28,4,30,1,6,1,28,16,30,1,28,7,30,1,6,1,30,1,28,17,30,1,28,6,30,1,28,8,30,2,28,5,30,1,28,1,30,1,28,2,30,1,28,7,30,1,28,14,30,1,28,48,30,1,28,6,30,2,28,5,30,1,28,3,30,1,28,15,30,1,28,9,30,1,28,18,9,1,17,2,10,1,13,2,7,1,30,1,29,1,30,1,28,4,30,1,28,1,30,1,28,2,29,1,28,1,6,1,30,1,29,1,6,1,8,1,9,1,11,2,17,2,6,1,28,6,13,2,7,1,6,1,28,30,30,1,28,5,30,1,28,3,6,1,9,1,13,5,14,1,17,3,11,1,10,1,11,1,13,2,11,1,17,5,28,3,30,1,28,2,6,1,13,2,30,1,28,8,30,2,13,1,29,1,7,1,30,2,28,5,30,1,16,1,}, {28,1,6,1,13,1,29,1,13,1,8,1,9,1,12,1,10,1,14,1,10,1,16,1,10,1,17,2,16,1,9,1,8,1,13,3,8,2,16,1,17,2,12,2,9,1,8,1,12,1,9,2,24,1,9,1,8,1,14,1,11,1,8,1,9,1,13,1,6,2,13,1,10,1,12,1,17,1,9,1,12,1,24,1,13,1,8,1,13,1,8,2,17,4,9,3,12,1,10,1,8,1,13,2,30,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,13,2,7,1,13,1,24,1,8,1,24,1,12,2,10,1,13,1,6,1,13,1,29,1,7,1,24,1,10,1,17,2,9,1,17,1,11,1,17,29,16,1,11,1,16,1,17,3,13,1,6,1,13,1,8,2,9,1,13,1,10,1,9,1,7,1,28,34,6,1,8,1,9,1,17,3,9,1,6,1,28,2,30,3,9,1,17,5,11,1,16,1,9,1,11,1,10,1,17,3,10,1,9,1,8,1,13,2,6,1,8,1,9,2,11,1,16,1,9,1,10,1,11,1,13,1,11,1,17,2,16,1,13,1,28,14,6,3,28,1,30,2,28,1,30,1,28,28,30,1,28,3,30,1,28,3,30,1,28,80,30,1,28,2,6,1,28,2,30,1,28,2,30,1,28,1,30,3,28,2,30,1,28,8,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,4,30,1,6,1,8,2,24,10,12,1,24,1,12,1,24,20,25,3,24,2,25,3,27,1,24,3,8,2,25,2,29,1,27,1,30,1,27,4,24,2,29,1,28,1,30,3,28,1,30,1,6,1,30,2,29,1,28,11,29,1,7,1,30,1,25,2,24,6,25,1,27,2,30,1,28,4,30,1,28,7,30,2,28,2,30,4,28,10,29,1,6,1,13,1,8,1,24,5,15,1,24,7,12,2,24,3,12,1,15,1,12,1,24,2,12,7,24,1,12,1,15,1,12,2,24,1,12,1,24,3,12,1,15,1,17,1,12,1,24,1,15,1,24,1,17,1,24,5,25,1,24,1,8,1,24,1,25,1,24,2,25,1,26,1,25,2,27,1,29,1,27,2,29,1,27,1,26,1,25,1,27,1,26,1,25,2,26,1,25,3,24,1,25,2,24,6,15,1,25,1,27,1,6,1,30,1,29,2,6,4,30,2,28,8,30,2,28,7,30,1,28,10,30,1,28,3,30,1,28,1,30,1,28,15,30,1,28,5,30,1,28,16,30,1,28,7,30,7,28,1,29,1,28,1,6,3,29,1,6,1,28,1,30,1,29,1,6,1,30,1,13,2,30,1,28,1,30,3,29,1,13,1,6,2,30,1,6,1,30,2,6,1,28,1,30,4,6,1,28,1,29,1,30,1,6,1,30,2,6,1,30,2,29,1,30,2,6,1,7,2,29,1,6,2,30,1,6,3,28,1,6,1,30,4,6,3,28,1,30,2,29,1,30,2,28,1,30,1,28,2,29,1,28,1,30,2,28,1,30,1,28,4,30,2,28,2,30,1,28,2,30,2,13,1,30,2,6,1,30,2,6,2,30,1,6,1,30,1,6,1,30,3,28,1,6,1,28,1,30,1,28,1,30,1,29,1,6,1,30,4,6,1,13,1,28,14,30,1,28,13,8,1,6,1,28,1,29,1,28,3,30,1,6,1,29,1,6,1,30,2,6,1,30,1,28,1,30,1,6,3,30,1,6,1,29,1,30,1,13,1,6,2,29,1,30,1,6,1,30,1,6,1,30,1,29,1,28,1,29,2,6,2,29,1,6,6,30,1,6,2,30,1,6,1,30,1,28,1,29,1,6,1,30,1,13,1,6,3,13,1,6,2,13,1,6,2,30,1,6,1,29,1,7,1,6,1,29,1,6,1,30,1,13,1,6,3,30,1,6,1,13,1,7,1,30,2,6,1,28,1,30,4,6,4,29,1,6,1,30,2,29,1,30,2,29,2,30,1,29,1,30,1,29,2,30,1,28,1,6,1,30,4,29,1,30,1,6,1,28,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,3,30,2,28,29,30,1,28,1,30,1,28,2,6,1,28,6,30,3,6,3,30,1,28,5,30,1,6,1,8,1,13,1,6,1,28,1,13,1,30,2,13,1,6,1,13,1,9,1,6,1,28,2,13,2,6,1,30,2,13,1,6,1,30,3,29,1,6,2,13,2,29,1,28,5,13,1,28,1,30,2,28,5,30,1,28,21,30,1,28,11,30,1,28,1,30,1,28,25,30,2,28,1,30,1,28,2,30,1,7,1,30,2,28,1,6,1,13,1,30,1,28,1,30,2,28,3,30,1,28,13,30,3,28,7,30,1,28,4,30,1,28,1,17,1,28,7,6,1,28,2,17,1,28,1,9,2,28,1,6,1,30,1,28,2,30,2,7,1,13,1,30,1,9,1,28,1,6,2,30,1,6,2,28,2,30,1,13,1,28,3,30,1,28,24,30,1,28,22,30,1,28,2,30,1,28,1,30,2,28,1,30,1,9,1,28,23,13,1,28,25,30,1,28,13,30,1,28,2,30,1,28,12,30,2,28,1,30,7,6,1,30,1,28,1,6,1,29,1,30,1,28,1,30,1,6,1,29,1,28,1,6,2,28,1,30,1,29,1,30,1,28,1,30,2,6,1,30,1,6,1,29,2,30,1,6,1,29,1,6,1,29,1,30,1,29,1,6,1,30,1,6,1,30,3,7,1,30,3,28,1,30,2,29,1,6,1,29,1,28,1,30,2,6,2,30,9,28,1,30,2,28,1,29,1,6,1,29,1,28,1,30,2,28,1,6,1,30,5,29,1,30,2,29,1,30,2,29,1,7,1,6,1,29,1,28,2,29,1,30,1,29,1,30,1,13,1,29,1,30,4,7,1,6,1,30,1,6,2,30,2,6,1,30,1,6,3,30,5,13,1,6,1,30,2,6,2,7,1,6,1,13,2,6,1,8,1,6,1,28,1,30,1,28,13,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,24,30,1,28,31,30,1,6,1,28,3,30,1,28,22,30,1,28,3,30,3,6,1,28,2,29,1,30,2,28,1,13,2,28,3,30,1,28,1,30,2,28,1,29,1,28,1,30,1,28,4,30,4,28,1,30,1,6,1,28,2,30,2,6,1,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,28,1,30,1,28,3,6,1,28,2,30,1,28,1,30,1,28,1,30,2,28,2,6,1,28,1,13,1,30,1,28,4,30,1,28,3,30,2,28,1,30,3,28,2,30,1,28,3,30,2,28,1,30,1,28,4,30,1,28,1,30,1,28,11,6,1,30,1,28,23,30,1,28,4,30,1,28,18,30,1,28,9,30,1,28,7,6,1,28,5,30,1,28,2,30,1,28,60,30,1,9,1,13,1,6,1,28,1,30,4,6,2,30,1,29,3,6,1,13,1,6,1,30,3,29,1,6,1,29,1,6,2,13,1,7,1,6,1,13,11,6,1,13,2,6,1,13,4,9,1,11,1,9,1,11,1,7,1,28,1,30,1,6,1,29,1,13,1,8,1,24,1,17,1,12,1,17,13,11,2,10,1,9,1,10,1,11,1,10,2,9,1,16,2,8,1,7,1,13,1,8,1,9,1,8,1,9,2,11,1,17,5,11,1,16,1,9,1,8,1,13,2,8,3,13,2,7,1,6,1,29,1,30,1,28,23,29,1,30,1,6,1,28,10,30,2,28,17,30,1,6,1,28,27,30,1,28,5,30,1,28,14,30,1,28,2,30,1,28,2,30,1,28,11,30,1,28,25,30,1,28,1,30,1,28,21,30,1,28,7,30,1,28,36,6,1,28,18,9,1,17,1,16,1,11,1,8,1,13,1,6,1,29,2,30,2,28,4,30,1,28,1,30,1,28,2,6,1,28,1,29,1,28,1,29,1,13,1,9,1,10,1,16,1,17,2,28,7,13,1,8,1,9,1,29,1,30,1,28,40,10,1,13,4,8,1,17,4,11,1,17,1,8,2,9,2,16,1,17,4,29,1,28,1,30,1,28,3,30,1,10,1,6,2,28,9,30,1,7,1,13,1,6,1,30,3,28,3,30,1,13,1,17,1,}, {6,1,7,1,8,2,13,1,8,2,9,1,10,1,9,1,12,1,9,1,10,1,17,2,14,1,9,2,8,1,7,1,13,1,8,1,9,1,17,3,9,1,11,1,9,1,11,1,9,1,15,1,24,1,15,1,24,1,8,1,14,2,9,1,24,1,13,3,6,1,17,2,16,1,12,1,9,1,8,2,13,1,7,1,13,1,8,1,11,1,17,3,8,1,9,1,24,1,17,1,15,1,9,1,13,1,7,1,13,1,29,1,6,2,30,1,29,2,7,2,13,1,6,2,13,1,8,1,9,1,12,1,17,1,12,1,17,1,9,1,8,1,6,2,28,1,13,1,9,1,11,1,17,2,12,1,11,1,17,3,16,1,17,14,16,1,17,12,16,1,17,2,13,1,29,1,13,1,24,1,8,2,24,1,9,1,8,1,6,1,28,32,30,1,28,1,6,1,13,1,17,1,9,1,17,1,12,1,9,1,7,1,6,2,29,2,28,1,13,1,17,5,9,1,10,1,9,1,16,1,8,1,17,1,8,1,11,1,9,1,8,1,13,2,8,1,13,1,6,1,13,1,9,1,12,1,9,1,11,1,9,3,17,1,16,1,17,2,13,1,28,14,30,1,6,1,30,4,28,24,30,2,28,1,30,1,28,1,30,2,28,4,30,1,28,2,30,1,28,78,30,1,28,4,30,1,28,8,30,1,28,13,30,1,28,9,30,1,28,4,7,1,8,1,25,1,24,14,25,1,24,2,25,1,24,12,25,1,24,4,25,6,24,1,25,1,27,1,25,1,24,1,25,1,26,1,27,4,29,1,27,1,29,1,25,1,8,1,26,1,27,1,30,2,28,2,30,1,29,1,30,1,29,1,6,1,29,1,30,3,28,6,30,1,6,2,25,1,24,4,12,1,15,2,24,1,25,1,26,1,27,1,30,2,28,11,30,2,28,2,30,1,28,1,30,1,6,1,28,3,30,1,6,1,28,6,30,1,28,1,6,1,7,1,24,3,8,1,24,3,12,1,24,1,12,1,15,1,24,4,12,1,24,1,15,1,24,3,12,1,24,3,12,2,24,1,12,1,15,1,17,1,15,1,12,1,17,1,24,1,12,1,17,6,12,3,24,1,12,2,24,4,25,7,26,1,27,6,25,2,26,1,27,1,25,1,26,2,27,1,25,1,27,1,25,3,27,1,24,2,15,1,24,2,8,1,24,2,27,1,6,2,29,1,30,2,28,2,30,1,6,2,30,1,6,1,28,1,30,1,28,4,30,1,28,7,30,2,28,1,30,1,28,4,30,2,28,5,30,1,28,21,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,6,5,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,3,6,1,30,1,28,1,13,1,28,1,6,1,30,1,29,1,6,2,30,2,28,3,29,1,6,1,30,1,29,1,30,1,6,2,30,7,6,1,30,3,28,1,30,2,28,1,6,1,30,4,29,1,28,1,6,2,30,2,6,1,30,1,28,1,6,2,13,1,6,1,30,2,6,1,28,2,30,2,6,1,7,1,30,4,28,2,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,3,13,1,28,1,6,1,13,2,30,1,6,1,13,3,6,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,11,30,1,28,16,13,1,30,1,28,9,30,2,6,2,13,1,28,1,13,1,30,2,13,1,30,1,29,2,13,2,30,1,6,2,7,1,30,1,13,1,29,1,6,2,30,1,6,2,30,2,6,1,29,1,6,5,29,1,6,1,29,1,30,1,13,1,30,2,6,4,13,1,28,1,30,1,6,5,13,1,6,1,29,1,6,1,13,1,6,1,13,1,30,1,6,3,30,1,6,2,30,1,6,2,28,1,6,2,30,1,29,1,13,1,29,1,30,2,28,1,6,1,28,2,6,1,28,1,29,1,28,1,29,1,28,1,30,2,28,1,30,1,6,2,28,1,30,7,6,1,30,2,28,3,29,1,6,1,30,1,28,2,29,1,30,6,28,1,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,12,30,1,28,36,30,1,6,1,13,1,6,1,30,1,13,1,28,1,30,1,28,2,13,1,6,1,13,8,6,1,13,1,30,1,13,1,9,3,13,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,1,6,2,13,1,28,6,6,1,28,8,30,1,28,83,30,1,28,28,16,1,28,10,17,1,28,1,9,1,13,1,28,10,9,1,28,3,30,1,28,14,30,1,28,40,30,1,28,10,6,1,28,23,13,1,28,11,30,1,28,2,30,2,28,26,30,1,28,10,30,2,6,1,30,1,28,1,30,3,28,1,29,1,30,1,28,3,30,1,28,4,6,1,30,1,28,1,30,1,28,4,29,1,28,1,30,3,28,2,30,5,28,5,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,2,30,2,28,1,6,2,30,1,28,3,30,1,28,1,29,1,28,1,30,1,28,1,6,1,30,6,28,2,30,1,28,3,30,1,28,1,30,4,29,1,28,2,29,1,30,2,6,1,30,1,28,1,30,5,28,1,6,1,30,1,13,2,6,2,30,2,28,2,30,5,6,2,7,1,13,1,30,1,6,1,30,1,6,1,28,1,29,1,6,1,13,1,6,2,13,3,6,1,30,1,13,3,9,1,13,1,28,1,30,5,29,1,30,1,28,2,30,3,6,1,13,1,30,6,6,1,30,1,28,2,30,2,28,4,30,2,28,5,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,8,30,1,28,22,30,1,28,30,30,1,28,3,7,1,30,1,29,1,30,1,28,2,8,1,30,3,28,1,29,1,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,6,1,28,1,30,1,28,1,30,6,28,1,30,1,6,1,28,1,30,6,28,1,30,1,28,4,6,1,28,3,30,1,28,2,30,2,28,5,30,1,28,2,30,1,28,2,30,1,28,1,30,2,6,2,28,1,6,1,13,1,30,1,6,1,29,1,28,3,30,1,28,5,30,2,28,5,6,1,30,1,28,1,30,4,28,2,30,2,28,1,30,1,28,2,30,1,28,2,30,2,28,3,30,1,28,10,30,1,28,8,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,22,30,1,28,1,30,1,28,9,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,56,6,1,9,1,7,1,6,1,29,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,3,30,1,6,1,30,1,29,1,30,1,29,1,28,1,7,1,6,1,29,1,13,3,6,1,9,1,8,1,13,2,6,1,13,4,6,1,8,1,13,5,8,1,9,2,17,1,29,1,28,3,6,1,7,1,8,1,9,1,17,2,12,1,17,4,12,1,17,6,16,1,9,1,16,1,9,1,16,1,11,2,9,1,11,1,9,1,11,1,16,1,17,1,9,2,13,1,9,1,13,1,9,2,11,2,17,4,11,2,9,2,13,5,6,1,29,2,28,28,30,1,28,29,30,3,28,11,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,7,30,1,28,1,30,1,28,7,30,4,28,6,30,1,28,2,30,1,28,16,30,1,28,4,30,1,28,9,29,1,28,2,30,1,28,2,30,1,6,1,28,63,30,1,28,19,9,1,14,1,11,2,9,1,13,1,7,1,30,2,28,1,6,1,30,1,28,4,30,1,28,2,6,3,30,1,28,1,29,1,13,1,9,2,11,1,17,2,28,7,13,2,10,1,13,1,30,1,28,39,6,1,9,1,8,1,7,1,6,1,30,1,9,1,17,4,8,1,9,1,8,1,9,3,17,4,11,1,28,3,30,1,28,2,7,1,9,1,13,1,28,6,30,1,28,2,7,1,8,1,6,1,7,1,13,1,7,1,6,1,30,1,28,3,30,1,6,1,17,1,}, {28,1,6,1,7,1,8,1,13,1,24,1,8,1,24,1,10,1,9,2,12,1,9,1,17,2,14,1,9,1,8,1,13,1,24,1,7,1,8,1,9,1,17,4,9,2,24,1,12,1,10,2,24,1,8,1,24,1,14,1,15,1,11,1,8,1,13,2,8,2,11,1,17,2,11,1,12,1,13,1,8,1,6,1,8,1,9,1,8,1,24,1,17,3,10,1,13,1,9,1,10,1,15,1,10,1,8,1,13,1,6,1,7,1,30,3,7,1,29,1,6,1,30,1,6,2,7,1,13,1,9,1,24,1,17,1,12,2,10,1,17,2,12,1,24,1,13,1,30,1,28,1,6,1,13,1,17,1,11,2,12,1,11,1,17,1,16,1,17,1,16,1,17,24,16,1,17,3,11,1,29,1,6,1,24,1,13,1,8,1,24,1,9,1,24,1,13,1,28,34,6,1,24,1,9,1,10,1,17,1,16,1,9,1,30,1,28,1,30,2,28,2,13,1,17,5,16,1,11,1,16,1,11,2,12,1,9,4,7,1,9,1,13,2,6,1,13,1,12,1,8,1,11,2,9,1,8,1,9,1,11,1,16,1,17,2,6,1,28,13,30,5,28,5,30,1,28,1,30,1,28,23,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,77,30,1,28,2,30,1,28,5,30,1,28,10,30,1,28,4,30,2,28,8,30,1,28,1,30,1,28,1,6,2,25,1,24,9,12,1,24,2,12,1,24,23,8,1,24,1,25,2,24,1,25,2,24,4,25,1,27,1,25,1,26,1,27,1,29,1,27,1,29,1,25,1,8,1,25,2,6,1,29,1,30,2,29,2,30,1,29,2,27,2,29,2,30,4,28,1,30,1,28,1,29,1,7,1,8,1,24,3,12,1,24,4,25,1,29,2,28,11,30,1,28,5,30,2,28,2,30,5,28,1,30,2,28,1,30,1,28,2,30,1,28,2,29,2,6,1,8,1,25,1,24,14,12,1,15,1,24,5,12,2,24,1,12,1,15,1,17,1,15,1,17,1,12,1,17,3,15,1,17,1,12,1,15,1,24,1,17,3,12,1,24,2,25,1,24,2,25,6,26,2,27,2,25,2,27,1,26,1,25,4,24,1,25,2,27,2,8,1,26,1,25,3,24,2,8,1,24,3,25,2,29,1,30,4,28,1,30,1,28,1,30,3,6,2,28,1,6,1,28,1,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,4,30,1,28,10,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,6,1,28,2,30,3,28,2,30,1,7,1,28,1,30,2,29,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,28,1,6,4,30,3,6,1,30,3,6,2,30,3,6,1,7,1,6,1,13,1,6,1,13,2,6,2,30,1,28,1,30,2,28,1,30,1,6,4,7,1,30,1,6,1,30,1,6,2,30,3,6,1,30,1,29,1,30,5,6,1,30,8,29,1,6,1,13,1,30,1,13,1,30,1,6,2,30,2,28,1,30,1,28,1,6,1,13,1,30,3,28,2,30,1,28,6,13,1,9,1,6,1,28,2,13,1,6,2,28,2,30,1,28,2,30,1,28,3,30,2,28,3,7,1,13,1,28,37,6,1,13,2,6,1,30,3,13,1,28,1,6,4,30,1,6,1,30,2,6,1,7,1,6,1,29,1,30,1,29,1,30,1,6,2,30,1,29,1,6,1,13,1,7,1,6,2,30,2,6,1,30,2,6,2,30,2,6,1,30,1,6,1,29,3,6,1,30,1,6,1,30,2,29,1,6,1,30,1,7,1,30,1,29,1,6,1,30,1,29,2,30,1,13,1,6,1,30,4,6,1,13,1,30,1,28,1,6,1,30,1,6,1,30,6,29,1,28,2,30,2,6,1,13,1,28,4,30,1,13,1,30,1,28,1,30,3,28,1,30,1,28,2,6,1,28,1,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,2,6,1,28,5,30,1,28,3,30,1,28,10,30,1,29,1,28,4,30,1,28,17,30,4,6,1,30,1,28,1,30,1,6,1,13,1,6,1,30,2,6,2,30,1,28,1,13,2,6,1,13,2,33,1,5,353,13,1,28,2,30,1,6,1,28,1,6,2,30,1,6,1,30,1,28,1,6,2,28,1,30,2,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,3,30,1,28,15,30,1,28,2,30,1,28,7,30,3,28,1,30,3,28,3,30,1,28,1,30,1,28,2,30,1,28,11,30,2,28,2,30,1,28,2,30,3,6,1,30,5,28,2,30,4,6,1,13,1,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,1,6,1,30,2,6,1,30,4,6,1,7,1,6,1,28,2,13,2,29,1,13,1,6,2,13,2,6,1,28,1,30,6,6,2,30,2,6,1,30,1,6,1,30,1,29,1,7,1,6,2,7,1,6,1,30,2,6,3,30,1,6,1,30,1,28,1,30,2,28,1,30,1,6,5,30,1,6,1,30,1,29,1,30,1,13,1,6,2,30,1,6,2,28,1,29,1,30,1,6,1,28,1,6,1,28,1,13,1,6,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,6,1,30,1,28,5,30,1,6,1,30,1,6,1,28,40,30,1,28,18,30,2,28,2,30,1,28,4,6,2,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,2,28,2,30,3,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,5,30,3,6,2,28,1,13,1,6,1,30,2,28,2,30,1,28,9,30,2,28,2,30,3,6,1,30,3,28,2,30,2,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,28,5,30,1,28,10,30,1,28,1,30,2,28,2,30,1,28,6,30,2,6,1,30,2,28,11,30,1,28,15,30,2,16,1,17,1,13,1,28,6,30,1,28,63,13,1,8,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,29,1,6,4,13,1,6,1,29,1,6,1,29,1,6,1,30,2,6,3,13,1,30,1,13,2,6,1,13,11,7,1,13,1,8,1,13,1,9,3,12,2,28,2,30,1,28,1,30,1,7,1,6,1,13,1,10,3,12,1,17,1,12,1,17,4,11,1,13,1,8,1,9,4,13,2,7,1,13,2,6,1,13,2,9,1,13,1,11,1,9,2,8,2,9,2,11,1,17,5,9,2,13,1,7,1,6,2,7,1,29,1,6,1,30,2,28,28,30,1,28,31,30,1,6,1,28,17,30,1,28,4,30,1,28,25,30,2,28,9,30,1,28,1,30,2,28,17,30,2,28,13,6,1,30,1,28,19,30,1,28,62,9,1,17,1,16,1,10,1,9,1,13,1,6,1,7,2,30,1,28,6,29,1,30,2,28,2,30,1,29,1,30,2,13,1,9,1,10,1,16,1,17,2,28,7,9,1,13,2,29,1,28,41,13,3,28,1,6,1,9,1,17,3,11,1,9,2,8,1,9,2,11,1,17,4,11,1,28,6,13,1,8,2,28,9,30,1,6,1,13,2,6,1,13,1,30,2,6,1,29,1,30,1,28,1,13,1,17,1,}, {6,1,13,1,7,1,9,1,13,2,8,1,24,1,9,1,8,1,11,1,10,1,12,1,17,3,8,1,13,1,8,1,9,1,6,1,10,1,8,1,17,3,16,2,9,3,24,1,15,1,13,1,8,1,6,1,14,2,24,1,13,1,24,1,9,1,24,1,13,1,9,1,17,2,9,1,8,2,24,1,8,1,13,1,24,1,8,1,10,1,12,1,14,1,17,1,10,1,24,1,9,1,17,1,14,1,12,1,6,1,28,1,6,1,7,1,6,3,29,1,6,1,7,1,6,1,13,1,6,3,29,1,7,1,8,1,10,1,11,1,12,1,10,1,11,1,17,3,8,2,6,3,9,1,10,2,9,2,17,26,16,1,17,4,8,1,7,1,13,1,8,1,24,1,8,2,13,1,8,1,13,1,28,33,29,1,6,1,8,1,11,1,17,2,10,1,11,1,7,1,28,1,29,1,30,1,6,1,29,1,6,1,10,1,17,2,16,1,17,2,11,2,12,1,16,1,8,1,9,2,8,1,13,1,9,1,8,1,6,1,13,2,9,2,11,2,9,2,8,1,11,1,16,1,17,3,13,1,28,13,30,1,6,1,28,8,30,1,28,6,30,1,28,96,30,1,28,4,30,1,28,6,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,2,30,5,28,1,30,1,28,1,30,2,28,6,30,1,29,1,13,1,8,1,24,12,12,1,24,25,25,1,24,1,25,1,24,5,25,1,26,2,8,2,27,1,25,1,29,1,8,1,24,1,25,1,26,1,29,1,30,2,27,1,30,1,29,2,30,2,29,1,27,1,29,2,30,4,28,2,6,1,7,1,25,1,8,1,24,3,12,1,24,2,25,1,26,1,27,1,30,2,28,10,30,1,28,8,30,2,6,1,28,3,30,1,28,3,30,1,28,1,30,4,28,2,30,1,6,1,7,1,8,3,24,5,12,1,24,3,12,1,24,16,15,1,12,2,24,2,15,1,24,5,8,1,25,1,24,1,26,1,25,2,24,1,25,1,8,1,25,1,26,1,25,1,27,1,26,2,25,4,26,3,25,5,26,1,25,2,24,2,8,1,25,1,24,2,25,1,15,1,24,2,8,1,29,1,6,1,29,1,30,1,28,2,30,1,28,4,30,2,28,2,30,3,28,7,30,1,29,1,28,4,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,2,30,4,29,1,30,4,28,1,30,2,28,1,6,1,30,4,28,2,6,1,30,2,28,1,30,1,6,1,28,1,30,1,29,1,30,3,29,1,6,1,30,1,6,1,30,1,29,1,28,1,6,1,30,2,6,3,30,1,6,1,29,1,30,2,6,2,13,1,6,2,13,1,6,1,7,1,13,2,6,3,30,1,6,3,29,1,30,1,13,1,30,2,6,1,28,1,30,1,6,1,28,1,6,1,30,4,28,1,30,1,28,16,6,1,28,2,13,1,29,1,8,1,13,1,28,6,30,1,6,1,28,14,6,2,28,13,6,1,28,3,30,1,13,1,6,1,28,23,30,1,28,1,6,1,28,1,30,1,6,1,29,1,28,1,30,2,28,2,6,3,13,1,9,1,6,2,13,1,6,1,13,2,29,1,30,1,6,2,13,1,29,1,30,4,13,1,28,1,30,2,29,1,30,3,28,1,29,1,28,1,7,1,6,1,30,1,29,1,30,1,6,1,29,1,30,3,6,1,30,1,29,1,28,1,30,1,28,1,6,1,30,1,28,2,30,2,28,2,30,5,28,1,30,4,6,1,30,3,29,1,30,1,6,1,13,1,30,4,28,1,29,1,30,1,6,1,28,5,30,2,28,2,30,1,28,1,30,1,28,2,6,1,11,1,28,4,30,1,28,13,30,1,28,8,13,1,28,5,30,1,28,1,30,3,28,3,6,1,28,1,30,2,6,1,30,1,28,1,13,4,9,2,11,1,9,1,13,6,9,1,5,391,13,7,30,2,28,1,30,1,28,2,30,1,28,40,30,1,28,31,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,1,6,1,13,1,30,1,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,6,1,30,1,6,1,13,2,17,1,13,1,30,3,29,1,13,3,6,2,30,2,6,1,30,2,6,1,30,2,6,3,13,1,30,1,6,3,30,2,6,3,29,1,30,1,28,1,30,5,29,1,30,1,13,1,6,1,30,2,6,1,30,1,6,1,30,1,13,1,29,3,6,3,29,1,6,4,29,1,6,1,30,1,13,2,6,2,13,1,6,6,30,1,29,1,6,1,29,1,6,1,30,1,6,2,30,1,7,1,6,1,30,1,13,2,6,2,30,1,6,1,30,1,28,34,6,1,28,33,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,3,30,2,28,2,30,1,28,1,30,3,28,1,30,1,28,2,30,4,28,3,30,1,9,1,30,2,28,7,30,1,28,2,6,1,29,1,28,2,30,3,28,1,6,1,30,5,28,1,29,3,28,4,30,1,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,2,30,1,28,1,29,1,30,1,28,1,6,1,30,1,28,2,30,3,28,11,6,1,28,1,30,1,29,1,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,15,29,1,11,1,17,2,6,1,28,4,30,1,28,35,30,1,28,29,30,1,13,2,6,1,30,1,29,1,30,2,6,2,29,1,6,1,30,1,6,1,13,1,6,1,30,7,6,1,30,2,13,1,6,1,7,1,13,12,24,1,8,1,13,1,8,2,10,1,9,1,11,2,28,3,30,2,6,1,13,1,8,1,9,1,10,1,9,1,12,2,17,1,12,1,17,1,12,1,17,1,10,1,30,3,13,1,28,2,30,2,28,1,30,1,28,1,30,1,6,3,28,1,6,1,9,3,11,1,9,1,8,1,12,1,11,1,17,3,11,1,6,1,30,1,28,1,6,1,28,1,30,1,28,33,6,1,28,34,30,1,28,39,30,1,28,27,30,1,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,9,30,1,28,1,30,1,29,1,30,1,6,1,28,15,30,4,28,39,30,1,13,1,28,18,16,1,17,1,9,1,10,1,13,2,6,2,30,1,29,1,28,4,30,2,7,1,28,6,6,2,13,1,9,2,11,1,17,1,11,1,28,7,13,1,8,2,6,1,28,1,30,1,28,2,30,1,28,36,13,1,6,2,29,1,30,1,10,1,17,3,9,1,8,1,9,4,16,1,17,4,10,1,28,6,7,1,8,1,13,1,28,9,29,1,30,2,6,1,29,1,28,6,6,1,13,1,17,1,}, {30,1,13,2,9,1,8,1,13,1,8,2,9,1,10,2,9,1,12,1,17,2,14,1,11,1,8,1,9,1,13,1,7,1,9,1,6,1,12,1,17,2,16,1,17,1,11,1,9,1,12,1,10,1,12,1,24,1,9,1,13,1,15,1,11,1,9,1,8,1,13,1,8,3,9,1,17,3,13,3,8,1,24,1,8,3,17,3,9,2,8,1,17,1,15,1,9,1,29,1,7,1,29,1,30,1,6,1,13,1,29,1,13,1,29,1,7,2,13,1,29,1,13,1,6,1,24,1,6,1,8,3,9,1,24,1,9,1,12,1,17,4,8,1,6,1,29,1,13,1,8,1,11,1,9,1,10,2,11,1,17,28,16,1,9,1,6,1,29,1,7,1,6,1,8,2,10,1,9,1,13,1,28,33,29,1,6,1,9,1,11,1,8,1,17,1,10,2,13,1,28,3,29,1,28,1,29,1,9,1,17,4,16,2,8,1,16,1,12,1,16,1,9,3,8,1,9,2,13,2,7,1,13,2,16,1,9,1,10,2,9,1,10,1,17,4,9,1,28,14,30,3,28,3,30,1,28,29,30,1,28,9,30,1,28,16,30,1,28,59,30,4,28,1,30,3,28,1,30,3,28,1,6,1,30,1,28,3,30,1,28,2,30,2,28,1,30,4,28,1,30,1,28,1,30,1,28,2,30,2,28,5,30,1,28,1,30,1,13,1,8,1,24,15,15,1,12,1,24,16,8,1,24,6,8,2,25,1,24,3,25,1,24,1,8,1,25,1,27,2,25,1,8,1,24,1,25,1,27,1,30,3,29,2,27,1,29,3,27,1,26,1,29,3,30,1,28,2,30,2,8,3,24,1,8,1,24,1,15,1,24,2,25,1,26,1,27,1,29,1,28,12,30,1,28,9,30,1,7,1,6,1,30,1,6,1,13,1,6,1,7,1,6,1,13,2,9,1,13,1,6,1,30,1,6,1,30,3,6,1,30,1,6,1,7,2,25,2,24,1,8,1,24,9,25,5,26,1,25,2,24,1,25,1,8,2,24,2,8,1,24,2,15,1,24,1,15,1,24,1,25,2,24,1,8,1,25,2,8,1,25,1,8,1,26,1,25,1,8,1,24,2,8,1,25,7,26,1,25,3,24,2,8,1,25,6,24,1,25,1,24,4,25,1,6,1,30,1,6,1,29,1,30,3,28,7,6,2,28,2,30,1,28,1,30,2,28,6,30,1,28,3,30,1,28,5,30,1,28,1,30,2,6,1,28,2,6,1,30,2,28,1,29,1,30,2,13,1,28,1,30,1,6,2,30,2,28,1,30,2,6,1,28,1,30,2,6,2,28,1,30,6,29,1,30,5,6,2,30,6,6,2,13,2,30,1,6,2,30,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,13,2,6,1,28,1,6,2,30,3,6,1,13,1,30,1,6,3,30,1,28,2,30,1,28,9,30,1,28,27,6,1,9,1,28,9,13,1,28,15,13,1,30,1,13,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,2,6,2,30,1,6,1,30,4,7,1,6,1,28,2,30,3,28,3,30,2,28,1,30,1,28,1,30,1,6,1,28,1,6,1,28,1,30,2,28,2,30,2,28,5,30,1,28,1,30,1,28,2,6,2,13,1,9,1,13,1,6,1,7,1,6,1,30,1,6,1,30,1,6,5,29,1,6,1,30,2,13,1,6,3,30,4,29,1,30,1,6,1,30,1,28,1,30,3,28,1,6,1,28,7,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,3,30,4,28,1,30,2,28,5,30,1,6,1,28,24,17,1,28,2,30,1,28,9,6,1,28,3,30,2,28,2,30,4,13,3,8,1,13,2,9,1,13,5,9,1,13,5,33,1,5,419,33,1,5,2,9,1,13,1,6,1,30,1,6,3,30,1,6,1,13,1,30,1,28,3,30,1,28,4,30,2,28,12,30,1,28,7,30,1,28,8,30,1,6,1,28,36,30,1,28,3,6,1,30,1,28,8,30,1,28,10,6,1,13,3,29,1,28,4,30,1,6,1,13,1,6,1,30,1,28,1,30,1,28,1,30,10,28,2,29,1,30,1,28,3,30,1,13,1,28,1,6,1,28,1,30,3,28,1,30,1,28,1,30,1,29,1,28,1,6,1,30,2,6,1,30,2,28,1,29,1,30,1,6,1,30,2,13,1,30,1,6,1,13,1,6,1,30,1,6,1,7,1,29,1,30,1,6,1,13,1,6,4,13,1,6,1,29,1,30,1,7,1,13,1,6,2,7,2,6,2,13,4,7,1,13,1,7,1,28,7,30,1,28,1,6,1,28,3,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,12,13,1,29,1,28,63,30,1,28,1,30,2,28,2,6,1,13,1,28,2,30,1,28,1,30,1,28,2,30,2,28,6,30,2,28,2,30,2,29,1,30,3,6,2,29,1,30,3,13,2,6,1,30,2,6,1,28,3,30,1,6,1,30,1,28,1,30,2,28,1,30,5,28,2,30,2,6,1,30,1,28,1,29,1,6,1,30,1,28,7,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,1,30,3,28,5,30,1,28,7,30,1,28,1,6,1,10,1,17,2,6,1,28,2,30,3,28,1,30,1,28,3,30,1,28,40,30,1,28,1,30,1,28,18,13,2,29,1,30,2,28,1,13,1,29,1,30,1,6,2,29,2,6,1,30,2,6,1,30,2,6,1,30,1,28,1,29,1,30,1,29,1,6,1,13,1,7,1,13,4,7,1,13,7,9,1,8,1,24,1,8,1,9,2,17,1,8,1,28,3,30,1,29,1,6,1,7,1,13,1,8,1,9,2,17,1,11,1,12,1,17,1,12,2,17,1,9,1,28,1,30,1,6,1,9,1,13,1,30,1,13,1,28,1,30,2,28,4,6,2,13,1,8,1,9,1,17,1,8,2,9,2,17,1,16,1,17,2,6,1,28,39,6,1,28,130,30,1,28,1,30,3,28,13,6,1,28,15,30,3,28,7,30,1,28,15,30,1,28,1,6,1,7,1,28,18,14,1,17,1,11,1,8,1,9,1,13,2,28,1,30,1,28,6,6,1,30,1,28,3,30,1,28,2,7,1,6,1,8,1,13,1,10,1,11,1,17,1,9,1,28,7,6,1,13,1,9,1,28,41,13,3,30,2,13,1,11,1,17,3,11,1,13,1,9,1,8,1,9,1,16,1,9,1,17,4,16,1,30,1,28,1,30,2,28,2,8,1,7,1,13,1,30,1,28,8,29,1,6,1,30,1,28,2,29,1,28,6,8,1,17,1,}, {13,1,6,1,13,1,8,1,6,1,13,1,9,3,13,1,10,1,24,1,12,1,17,2,16,1,9,1,8,2,9,1,13,1,6,1,11,1,17,4,11,1,17,1,11,1,24,1,15,1,8,1,11,1,8,1,9,1,8,1,15,1,9,1,13,1,8,3,6,1,8,1,10,1,17,1,8,1,24,1,13,1,6,1,8,1,13,1,15,1,24,1,14,1,17,2,14,1,13,1,8,1,24,1,14,1,15,1,12,1,13,1,30,2,28,1,6,2,13,1,6,1,13,2,30,1,7,1,6,3,13,3,8,4,11,2,10,1,12,2,17,3,9,1,7,1,30,1,6,1,9,2,11,2,17,2,16,1,17,26,9,1,29,1,6,1,8,2,7,1,8,1,9,1,24,1,15,1,28,33,7,1,30,1,8,1,9,2,10,1,17,2,13,1,28,1,30,3,28,1,7,1,9,1,17,4,16,1,11,1,13,1,16,1,10,1,16,1,8,1,9,1,13,1,8,1,9,1,13,3,29,1,7,1,9,1,11,1,13,1,11,1,8,2,17,5,13,1,28,15,30,1,28,1,30,1,28,14,30,1,28,16,30,1,28,4,29,1,28,7,30,1,28,31,30,1,28,24,30,1,28,14,30,2,28,1,30,1,28,3,30,1,6,1,28,1,30,1,28,1,30,3,28,2,30,2,6,1,30,2,28,1,30,1,28,2,30,1,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,2,30,2,28,1,29,1,6,1,24,10,8,1,24,12,12,1,24,5,25,1,24,14,25,4,8,1,25,3,8,1,24,2,27,3,29,2,27,3,29,1,27,4,29,2,30,2,28,1,29,1,25,1,8,1,24,2,12,1,25,1,24,1,12,1,24,1,8,2,27,1,28,13,30,2,28,3,30,1,28,4,6,2,13,1,8,1,9,1,16,1,17,1,16,2,17,4,16,1,11,1,9,1,8,1,6,2,30,3,6,1,30,1,29,1,6,3,13,1,6,1,25,1,24,1,25,1,8,1,24,1,12,1,24,4,8,1,25,1,27,1,25,1,26,1,25,1,27,2,26,1,25,1,26,1,25,1,24,1,8,1,25,1,8,1,25,3,8,1,24,1,25,2,27,1,25,1,27,1,25,2,27,1,25,4,24,5,25,2,27,1,8,1,25,1,24,1,25,1,24,3,25,2,24,1,26,1,25,1,24,1,8,4,26,1,29,1,28,1,29,1,28,3,6,1,28,3,30,1,28,2,30,1,28,2,30,4,6,1,30,4,28,1,30,3,6,1,30,4,28,1,30,1,6,1,28,1,6,1,30,1,6,2,30,1,6,1,30,2,6,1,30,4,28,1,30,1,6,2,30,2,6,1,30,1,6,5,30,1,6,2,30,3,6,3,8,1,13,1,30,2,28,1,30,2,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,3,30,1,28,11,30,1,28,1,30,1,28,11,30,1,28,37,30,3,13,1,6,1,30,1,6,1,29,1,13,1,6,2,30,1,28,1,30,1,6,1,30,1,28,1,30,1,13,1,30,2,28,1,6,1,30,1,28,1,13,1,30,1,6,1,30,1,6,5,30,1,13,1,9,1,13,1,30,1,6,1,30,3,6,1,30,1,28,2,29,1,30,5,28,1,30,1,28,1,30,2,28,1,6,1,28,2,30,3,28,2,30,3,28,2,30,1,28,1,30,1,28,2,6,1,28,3,30,1,28,10,30,1,6,1,13,2,30,1,6,3,30,1,6,1,30,2,6,1,30,2,28,1,30,2,6,3,30,2,28,10,30,1,28,8,30,1,28,2,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,27,30,1,28,4,13,1,6,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,6,2,13,2,11,1,16,2,11,1,9,1,6,1,13,2,9,1,13,4,9,1,16,1,11,1,13,1,9,1,13,1,9,1,16,1,5,432,33,1,5,48,16,4,13,1,9,1,13,1,30,1,6,1,30,1,28,3,30,2,6,1,28,1,30,3,28,6,30,1,28,4,30,1,28,2,30,1,28,6,30,3,28,11,30,1,28,6,13,3,28,5,6,1,30,2,28,1,6,1,28,2,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,6,6,1,28,1,30,1,28,6,30,3,6,1,28,2,30,4,6,1,30,1,28,2,30,2,28,2,6,1,28,1,30,1,28,1,30,4,6,2,13,1,29,1,30,1,6,2,30,1,28,1,30,2,28,2,30,3,6,1,28,1,6,1,7,1,13,1,6,1,30,1,6,3,30,1,28,12,6,1,30,1,28,1,30,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,2,28,3,8,1,28,2,30,4,6,1,28,2,30,1,6,1,28,3,30,1,28,55,30,1,6,1,28,6,30,2,28,3,30,4,28,1,30,1,28,1,30,4,28,1,29,1,30,4,6,1,30,2,28,1,30,2,6,1,30,1,6,1,30,7,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,3,28,3,30,3,28,2,30,1,28,1,30,2,28,9,30,1,28,1,30,1,28,2,30,1,28,5,30,2,28,3,30,1,28,6,30,1,28,2,30,2,6,2,30,1,13,1,6,1,28,2,30,1,28,2,30,2,28,2,30,1,28,20,30,1,28,34,30,1,28,3,30,1,28,3,30,1,13,2,30,1,29,1,6,2,29,1,6,1,30,1,29,1,6,2,30,3,28,1,29,1,30,1,6,1,30,1,29,2,28,1,6,2,13,2,7,2,6,1,13,2,8,2,6,1,8,1,13,1,8,3,24,1,8,1,9,2,12,1,11,1,6,1,28,3,30,1,29,1,6,2,7,1,13,1,24,1,9,2,10,2,17,1,12,1,17,2,9,1,28,1,6,1,13,1,9,1,13,3,6,2,13,1,6,1,30,1,6,1,30,1,28,3,30,1,6,1,9,5,17,3,9,1,30,1,28,1,30,1,28,37,6,1,28,119,30,1,28,7,30,1,28,4,30,2,6,1,30,1,28,1,30,1,28,8,30,1,28,1,6,1,30,2,28,9,30,2,28,4,30,1,28,3,30,2,28,2,30,1,28,12,30,1,28,2,30,1,6,1,30,2,28,18,14,1,16,1,11,1,8,2,13,1,6,1,30,2,29,1,28,7,30,1,28,1,30,1,28,2,6,2,30,1,13,1,10,2,17,2,12,1,28,7,6,1,8,2,29,1,28,3,30,1,28,36,29,1,9,1,6,1,29,1,6,1,13,1,9,1,17,3,16,1,11,1,13,1,9,3,10,1,17,4,11,1,6,1,28,1,6,2,28,2,7,1,8,1,6,1,28,8,30,1,28,2,6,1,30,3,28,6,9,1,17,1,}, {13,1,29,1,13,1,8,2,7,1,13,1,10,1,9,2,24,1,13,1,17,5,9,2,13,1,7,1,13,2,9,1,17,2,11,1,17,2,13,1,17,1,15,2,24,1,9,1,13,1,14,1,15,1,8,2,13,1,8,1,13,2,9,1,12,1,17,1,9,2,8,1,13,1,7,1,9,1,13,1,24,1,10,1,17,1,14,2,15,1,10,1,8,1,15,2,10,1,7,2,30,1,28,1,30,1,28,1,29,1,6,1,13,1,6,1,7,1,6,1,29,2,6,1,13,2,6,1,8,1,13,2,8,1,9,3,8,1,11,2,17,1,16,1,17,1,11,1,17,1,13,1,6,1,13,1,9,1,12,1,10,1,17,2,16,1,17,25,9,1,6,1,29,1,6,1,13,2,24,1,8,1,9,1,24,1,6,1,28,31,30,1,28,1,29,1,6,1,8,1,9,1,11,1,17,1,10,1,13,1,28,1,6,1,30,2,28,1,6,1,10,1,17,4,11,1,9,1,10,1,9,2,10,2,9,2,8,1,9,1,12,1,6,1,13,2,30,1,9,2,11,2,8,1,11,1,16,1,17,4,11,1,28,15,30,3,28,65,30,1,28,12,30,1,28,11,6,1,30,1,28,20,30,3,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,29,1,28,1,30,2,6,1,30,1,6,1,28,2,30,2,28,2,30,1,6,3,30,1,28,1,30,1,28,5,30,1,28,2,30,2,28,2,30,5,6,2,8,2,25,1,24,3,25,1,24,5,8,1,24,1,25,1,24,2,8,1,24,24,25,1,26,1,25,1,27,1,24,1,25,2,8,2,24,2,25,1,27,1,25,1,29,1,27,1,29,1,25,1,27,1,25,1,29,1,27,3,30,2,29,1,27,1,29,2,27,1,25,1,8,1,24,4,8,1,24,1,8,2,6,1,29,1,28,12,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,7,1,8,1,11,1,16,1,17,2,16,1,11,1,8,1,9,3,13,1,9,1,13,1,9,4,10,1,13,2,30,3,28,1,30,1,28,1,30,1,6,1,29,1,7,1,6,2,8,2,24,1,8,1,24,3,8,1,24,3,25,2,24,1,25,4,27,1,26,1,24,1,25,4,26,1,24,1,25,3,8,1,27,1,25,3,8,2,26,2,8,3,24,1,26,1,8,1,24,1,8,1,24,1,25,1,8,1,25,1,24,1,25,1,24,1,25,1,24,1,8,2,25,1,8,1,25,2,7,1,6,1,30,1,6,1,30,2,6,1,28,1,6,2,30,2,6,1,28,1,30,3,6,1,30,4,6,1,30,2,6,1,30,1,6,3,13,1,7,1,6,3,7,1,6,2,30,2,13,1,6,1,30,1,6,3,30,2,6,2,30,4,28,1,6,2,29,1,28,1,30,7,28,1,30,1,28,1,30,1,28,3,30,1,28,49,30,1,28,8,30,1,28,3,30,1,28,1,30,1,28,1,30,3,6,2,30,3,6,1,30,2,29,2,30,2,13,1,6,1,13,1,28,1,6,1,30,1,6,3,13,3,6,1,7,1,13,1,8,1,13,1,6,2,30,1,6,2,13,1,6,1,13,1,6,3,30,1,28,1,6,2,30,2,13,1,6,2,13,1,30,3,29,1,6,2,28,1,30,2,28,2,30,1,28,2,6,1,30,1,28,1,30,1,28,2,30,4,28,1,6,1,30,1,6,1,30,1,6,1,28,4,6,1,28,18,30,1,28,7,6,1,13,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,30,1,28,4,30,2,28,1,6,1,30,1,28,1,30,1,28,33,30,2,28,1,30,1,28,3,6,1,28,1,30,1,28,1,30,2,28,1,6,3,28,1,13,2,6,1,13,1,28,2,30,2,28,2,6,1,13,4,28,1,13,1,9,1,11,1,9,2,13,1,30,1,6,1,13,1,33,2,5,2,33,1,5,1,33,5,5,1,33,2,5,1,33,1,5,2,33,3,5,517,33,1,13,1,6,1,13,6,6,1,13,1,6,4,28,3,30,2,13,1,30,1,28,1,30,1,13,1,30,1,13,1,6,1,30,3,28,4,30,1,28,2,6,2,13,2,28,4,6,1,30,1,6,1,28,4,30,1,28,1,30,1,28,5,6,1,28,1,30,2,28,9,30,1,28,3,30,1,28,2,30,2,28,20,30,1,28,1,30,1,28,2,6,1,28,10,30,1,6,1,30,1,28,3,13,1,28,4,6,1,28,1,30,1,28,11,30,2,6,1,30,1,6,1,28,1,30,1,28,3,30,1,28,5,30,1,28,2,30,1,6,1,28,3,13,2,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,3,28,7,6,1,13,1,28,5,30,1,28,6,6,1,28,27,30,1,28,6,13,1,17,1,13,1,28,7,30,1,28,3,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,2,30,6,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,1,30,2,6,2,30,1,28,2,30,1,28,2,30,4,28,1,30,1,28,4,30,2,28,2,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,4,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,6,1,30,2,6,1,30,3,6,1,30,2,28,1,30,3,28,11,6,1,28,1,30,2,28,35,30,1,28,3,30,1,28,2,30,1,28,2,29,1,13,2,29,1,30,2,6,3,28,1,29,2,30,1,29,1,30,1,29,2,6,1,29,1,30,1,6,1,30,1,29,2,30,1,13,1,6,1,13,4,8,1,13,1,8,2,9,1,24,1,9,3,8,2,9,1,24,1,10,1,12,1,6,1,28,3,30,1,29,1,30,1,6,2,13,1,24,1,13,1,24,1,11,2,12,3,17,1,9,1,28,2,6,1,30,2,6,1,30,2,6,1,28,2,30,1,28,5,30,1,28,2,6,1,7,1,8,1,16,1,11,1,9,1,6,1,30,3,28,1,30,1,28,82,30,1,28,74,30,2,28,1,30,1,28,1,30,1,28,8,30,3,28,9,30,1,29,1,30,1,28,24,30,2,28,5,30,2,28,3,30,4,28,1,30,2,6,1,30,1,28,18,16,1,17,1,9,1,13,3,30,1,6,1,30,1,29,1,28,5,30,1,28,1,30,1,28,1,30,1,28,1,30,3,13,2,9,1,11,1,17,2,8,1,28,7,13,1,8,1,9,1,13,1,28,3,30,1,28,36,13,1,10,1,13,1,6,1,30,1,13,1,11,1,17,3,11,1,10,1,13,1,9,3,11,1,16,1,17,3,11,1,7,1,28,1,6,1,30,2,6,1,13,1,9,1,7,1,28,9,30,1,6,1,29,2,30,1,29,1,30,1,28,5,13,1,17,1,}, {28,1,29,1,24,1,8,1,9,1,13,1,8,1,10,1,9,2,12,1,17,1,12,1,16,1,17,2,16,1,8,1,10,1,13,1,6,1,7,2,10,1,17,3,12,1,17,1,12,2,16,1,17,1,24,1,9,1,13,1,12,1,9,2,8,2,13,1,6,1,13,1,10,1,17,1,9,1,11,1,12,1,8,1,7,1,6,1,9,1,8,2,9,1,14,2,16,1,9,1,13,1,10,1,9,1,14,1,15,1,8,1,7,1,28,1,29,1,30,1,28,1,29,1,28,1,13,1,29,1,13,1,29,1,6,1,8,1,13,2,7,1,6,1,13,1,8,1,13,1,28,1,13,2,8,2,13,1,16,1,12,1,17,2,16,1,17,2,8,1,30,2,13,1,8,1,9,1,11,1,17,1,11,1,16,1,17,23,10,1,6,3,7,1,9,1,8,1,13,1,8,2,6,1,28,31,30,1,28,1,29,1,13,1,8,1,10,1,11,1,17,2,8,1,29,1,30,2,29,1,28,1,30,1,12,1,17,3,16,1,17,1,11,1,10,2,9,1,10,1,11,1,10,1,9,1,10,1,13,2,6,1,30,1,13,2,8,1,10,1,9,1,16,1,11,1,12,1,17,5,11,1,28,15,30,3,28,1,30,1,28,3,30,1,28,7,30,1,28,30,30,2,28,1,30,1,28,3,30,1,28,2,30,2,28,4,30,2,28,3,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,28,16,30,2,6,1,30,6,28,1,30,1,28,1,30,1,28,1,30,6,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,5,28,2,7,1,30,3,28,1,30,1,28,1,30,4,28,1,30,1,28,4,30,3,29,1,30,1,6,2,30,2,8,1,24,1,8,1,24,3,25,1,24,1,8,1,25,3,24,1,25,1,8,1,24,8,25,1,24,14,8,1,24,1,26,1,25,6,8,1,24,2,25,1,24,2,25,1,27,1,25,2,24,1,8,1,25,1,26,1,25,2,26,1,27,1,29,2,27,1,28,1,27,2,8,1,25,1,8,1,24,1,12,1,15,1,12,1,24,2,8,1,25,1,6,1,30,1,28,11,30,1,29,3,28,1,30,2,28,1,30,1,6,1,13,1,11,1,9,1,13,5,30,1,6,1,13,2,6,3,13,5,8,2,17,2,6,1,29,1,6,1,30,1,28,1,30,5,6,1,29,1,7,1,6,1,7,1,24,1,26,1,8,1,25,1,26,1,24,3,8,2,24,2,25,1,24,1,8,1,24,5,25,1,24,1,26,1,8,1,24,1,8,1,25,1,24,2,8,1,25,1,8,1,24,7,25,1,8,2,24,1,8,1,24,2,8,1,25,2,8,1,24,4,8,3,6,1,13,2,6,2,29,1,6,1,30,2,6,1,30,1,28,1,6,1,29,1,30,2,29,1,28,1,30,3,6,3,29,1,6,3,30,2,6,4,30,1,6,1,29,1,6,1,29,1,30,3,28,3,30,1,28,56,30,2,28,10,30,2,6,2,30,2,6,2,13,1,7,1,30,1,29,1,6,1,30,2,6,1,13,1,9,1,13,1,30,1,6,1,30,1,6,1,30,3,6,8,29,1,13,1,6,1,30,1,29,1,30,5,28,1,30,3,7,1,30,1,6,1,30,2,6,2,30,1,6,1,30,1,9,1,6,3,13,1,6,1,30,3,6,1,30,1,28,5,30,1,6,1,30,1,6,1,30,2,28,4,30,1,28,5,30,1,28,1,30,1,28,42,30,2,28,5,30,1,13,1,28,11,30,1,9,1,6,1,30,1,28,1,13,3,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,6,1,13,5,9,1,13,6,9,6,5,4,33,1,5,6,33,1,5,3,33,2,5,1,33,1,5,1,33,1,5,2,33,2,5,3,33,2,5,555,33,4,13,2,6,1,13,1,33,3,5,7,33,1,5,9,13,4,5,1,9,1,13,1,6,1,28,5,6,1,13,69,9,1,13,1,6,1,28,3,30,1,28,13,6,2,30,1,28,20,13,1,28,4,6,1,28,5,30,1,28,2,30,1,29,1,30,3,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,2,28,1,30,1,6,1,30,3,28,3,30,1,28,35,9,1,17,1,11,1,28,17,30,1,28,9,30,6,6,1,30,6,28,2,30,1,28,3,30,3,7,1,30,2,28,2,30,1,28,2,30,1,28,9,30,1,6,1,28,6,30,1,28,2,30,2,28,2,30,2,28,4,30,1,28,2,30,2,28,2,29,1,28,1,30,4,28,1,30,1,28,2,30,1,28,2,29,1,28,1,30,2,28,1,30,4,28,1,30,1,28,4,30,1,28,1,6,1,28,1,30,4,28,1,30,1,28,1,30,2,28,2,30,2,28,3,30,1,28,31,6,1,13,2,28,1,6,2,28,1,6,2,30,1,6,3,30,1,29,1,30,2,29,1,30,2,6,1,30,1,6,1,30,2,13,1,7,1,13,3,8,4,24,2,11,1,9,2,24,2,9,1,12,1,17,1,12,1,28,2,6,1,30,1,6,2,29,1,30,1,6,3,13,1,8,1,9,2,11,1,12,2,17,1,9,1,28,1,30,1,6,1,30,1,28,1,30,3,28,3,30,9,29,1,30,2,28,2,30,1,28,2,30,2,28,77,13,1,6,1,30,1,28,67,30,1,28,21,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,5,30,1,28,1,30,1,29,1,6,1,30,1,28,23,30,1,28,1,30,1,28,1,30,2,28,7,30,2,28,1,30,1,6,1,28,1,30,1,28,19,14,1,16,1,9,1,8,1,13,1,8,1,6,1,30,1,28,1,6,1,30,1,28,5,30,1,28,1,29,1,28,3,6,2,13,2,9,1,11,1,17,1,16,1,10,1,28,7,8,1,13,1,7,1,6,2,28,39,6,1,8,1,13,1,6,3,16,1,17,3,16,1,13,1,9,1,8,1,11,1,9,2,16,1,17,3,11,1,30,1,28,5,6,2,13,1,28,10,30,1,6,4,30,1,28,5,9,1,17,1,}, {28,2,6,1,13,1,9,1,13,1,8,1,10,1,13,1,12,1,17,4,16,1,17,1,14,1,9,1,13,1,8,1,6,1,8,1,13,1,8,1,17,1,12,1,17,1,12,1,17,1,12,1,17,3,9,2,24,1,16,1,14,1,10,1,9,1,8,1,13,1,24,1,13,1,6,1,17,3,8,1,7,1,8,1,9,2,8,2,13,1,16,1,14,1,17,1,10,1,9,2,10,1,14,1,15,1,6,3,28,1,6,1,30,2,29,1,28,1,6,1,13,2,6,1,13,1,6,1,8,1,7,1,13,1,8,1,6,1,13,3,29,1,13,2,8,1,17,2,16,1,17,5,11,1,13,1,28,1,6,1,9,2,10,2,11,1,17,4,16,1,11,1,16,1,17,16,13,1,6,1,13,1,7,1,8,3,10,1,9,1,11,1,30,1,28,31,29,1,6,3,13,1,9,1,10,1,17,2,13,1,28,1,30,1,29,1,28,2,30,1,11,1,17,3,16,2,11,1,9,1,11,1,17,1,9,1,10,2,8,1,13,1,9,1,13,2,6,1,13,1,8,1,9,1,10,1,11,1,16,1,17,1,11,1,16,1,17,1,16,1,17,2,13,1,28,15,13,1,30,2,28,11,30,1,28,3,30,3,28,32,30,1,28,3,30,2,28,1,30,3,28,2,30,2,28,2,30,1,28,2,30,7,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,29,1,30,2,28,1,29,1,28,2,30,2,28,2,30,1,28,1,6,1,28,1,30,3,28,2,30,1,6,1,28,1,30,1,28,1,30,4,13,1,6,1,30,2,6,1,30,5,28,1,30,1,28,1,29,1,28,1,30,2,29,1,30,4,6,1,30,8,6,1,24,7,25,3,24,1,27,1,25,3,24,2,25,1,24,10,15,1,24,4,25,4,27,1,24,1,25,3,24,1,25,3,24,2,25,4,27,1,25,6,24,1,25,1,26,1,29,1,28,1,27,1,29,2,27,1,8,1,25,1,24,1,25,1,24,3,12,1,24,1,26,1,6,1,13,1,29,1,28,11,6,1,13,1,7,1,29,1,30,5,28,1,6,1,8,1,17,1,11,1,13,3,7,1,13,5,8,1,13,1,7,1,6,1,13,3,6,1,13,1,9,1,8,1,11,1,8,1,13,2,6,2,30,2,6,1,30,3,6,1,29,2,6,1,29,1,13,1,6,1,7,1,8,1,24,1,10,1,8,1,15,1,24,8,8,1,24,12,8,1,24,2,25,1,24,1,8,1,24,4,8,1,25,1,8,1,25,1,26,1,8,1,25,1,24,1,8,1,26,2,6,1,8,1,6,2,29,1,6,4,29,1,6,5,30,1,6,2,30,2,28,1,6,1,30,1,29,1,30,1,6,1,30,2,28,1,30,1,28,1,6,1,30,1,28,62,30,1,28,2,6,1,30,3,28,1,30,1,28,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,4,30,1,6,2,30,1,6,1,30,1,6,2,29,1,30,2,29,1,30,1,6,1,30,3,28,1,30,1,28,4,30,2,28,3,30,7,6,1,28,2,30,1,28,8,30,1,28,8,30,2,28,4,13,2,28,1,6,1,28,1,30,1,28,2,30,2,28,63,30,1,6,1,13,4,6,1,13,1,30,2,6,1,13,1,9,1,13,3,30,2,13,2,30,1,13,2,33,1,5,11,33,23,5,719,28,37,9,1,28,10,30,1,28,3,30,1,28,3,30,1,28,5,30,1,28,2,30,2,29,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,18,6,1,28,5,13,1,11,1,7,1,28,44,30,2,13,1,6,2,28,3,30,1,28,3,30,2,28,1,30,1,28,2,30,1,28,2,30,3,28,2,30,3,28,5,30,1,28,1,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,1,30,3,28,5,29,1,28,2,30,4,28,1,6,1,30,1,28,1,30,2,28,3,30,2,28,4,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,22,30,1,6,1,30,1,28,1,30,2,28,1,29,1,13,3,6,1,28,1,6,2,29,1,6,1,30,2,6,1,30,3,6,1,30,3,29,1,30,1,6,1,30,1,6,1,30,1,6,1,7,1,8,5,10,1,12,1,11,1,24,1,8,1,24,1,9,1,10,1,9,1,12,2,13,1,28,2,29,1,6,1,30,1,13,1,6,1,13,1,6,1,13,3,8,1,24,1,8,1,11,1,9,1,17,2,9,1,28,1,29,1,13,2,6,1,28,3,30,2,28,2,30,2,28,1,30,1,6,1,13,1,6,1,30,2,28,3,30,1,28,1,30,3,6,1,30,1,28,75,30,2,28,50,30,1,28,1,30,1,28,43,30,1,28,1,30,1,28,6,30,1,28,2,6,1,30,1,28,10,30,1,28,4,30,1,28,8,30,2,28,5,30,2,28,6,30,2,28,22,14,1,17,1,11,1,9,1,13,1,6,2,30,1,29,1,30,1,28,4,30,1,28,7,13,1,29,1,30,1,6,1,9,1,11,1,12,1,17,1,10,1,28,7,13,1,8,1,13,1,6,1,28,1,29,1,28,1,30,1,28,36,6,1,11,1,13,2,6,2,9,1,17,4,13,1,8,1,13,1,9,3,17,4,9,1,28,6,13,3,28,10,6,1,7,1,6,1,29,1,7,1,28,1,30,1,28,3,13,1,16,1,17,1,}, {30,1,6,1,7,1,6,1,13,1,8,1,6,1,8,1,11,1,10,1,17,1,9,1,17,3,14,1,15,1,12,1,8,1,13,2,6,1,8,1,12,1,17,2,11,1,17,6,12,1,9,1,8,1,11,1,17,1,9,2,13,2,7,1,8,2,17,3,14,1,10,1,24,1,8,1,24,1,9,1,11,1,9,1,16,1,14,1,16,1,12,1,8,1,9,1,12,1,14,1,15,1,13,1,6,2,29,1,30,1,28,1,30,2,28,2,29,1,6,1,8,1,6,1,13,1,6,1,13,1,7,1,6,1,7,1,6,1,13,1,6,1,13,2,29,1,13,1,10,2,12,1,17,7,11,1,6,1,28,1,6,1,9,2,10,1,17,2,16,1,10,1,11,1,16,1,17,1,10,1,11,1,17,14,16,1,13,1,6,2,13,1,8,2,9,1,11,1,8,1,6,1,28,30,30,2,29,1,30,1,7,1,8,2,11,1,12,1,17,1,13,1,30,1,28,2,30,2,28,1,9,1,17,3,16,1,11,1,17,1,11,3,12,1,13,1,17,1,8,1,9,1,13,1,7,1,13,1,6,1,13,2,8,1,9,1,10,1,11,1,17,3,10,1,17,1,16,2,11,1,28,15,6,1,30,1,29,1,28,8,30,2,28,1,30,1,6,1,30,1,29,1,30,2,28,1,30,2,28,12,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,3,30,3,28,2,30,1,28,5,30,1,28,1,30,1,28,4,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,6,1,28,6,30,1,28,1,30,1,28,1,30,3,28,3,30,2,28,1,30,1,28,2,30,4,28,2,30,1,6,1,28,1,30,1,6,1,28,1,30,1,6,1,28,2,30,3,28,1,29,1,6,1,28,1,6,1,30,3,28,1,30,7,6,2,30,4,28,1,30,1,6,2,30,4,6,1,30,1,28,1,30,1,6,1,28,1,30,2,6,1,30,1,6,2,29,1,6,3,8,2,24,1,8,1,24,5,25,4,8,1,25,2,24,5,8,1,24,3,25,1,24,5,25,1,24,1,25,1,8,1,24,1,25,1,24,1,25,4,8,3,25,2,8,1,25,5,8,2,25,2,8,1,24,1,26,2,27,3,28,1,30,1,27,1,25,1,24,7,25,1,30,1,28,13,30,1,7,1,29,1,28,1,6,1,29,1,28,1,29,1,30,1,28,1,29,1,30,1,6,1,9,1,16,1,9,1,13,1,6,2,7,1,6,3,9,1,30,1,9,1,6,2,13,1,7,1,6,1,7,1,6,1,13,1,11,1,9,1,8,1,13,2,6,6,30,1,6,5,29,1,6,2,29,1,6,1,30,1,6,2,7,1,8,4,24,2,12,1,24,2,8,1,24,4,8,1,15,1,24,6,15,1,24,5,15,1,24,4,25,1,26,1,7,1,13,1,24,1,13,1,6,1,29,1,7,1,6,1,13,2,7,3,6,3,13,1,6,3,28,1,30,1,28,1,30,1,28,53,30,1,28,1,30,1,6,2,30,3,28,1,30,1,28,7,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,4,30,10,28,1,30,1,28,1,29,1,30,3,28,3,30,1,28,4,30,1,28,3,30,1,28,22,30,1,28,22,30,1,28,1,6,1,8,1,13,1,30,1,28,4,6,1,13,1,28,50,30,1,28,1,6,2,13,1,30,1,28,1,6,2,13,1,33,1,5,789,16,1,5,1,13,10,28,15,30,1,28,28,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,1,29,1,30,2,28,8,30,1,28,3,30,1,28,9,30,1,28,4,30,2,6,1,28,4,30,1,28,4,30,1,28,1,30,1,28,5,30,1,28,60,30,1,28,5,30,1,28,2,6,1,28,1,30,1,28,3,30,2,28,3,30,1,28,2,30,1,28,2,30,2,28,2,30,1,28,3,30,2,28,2,30,1,28,1,30,2,28,1,30,2,28,8,30,2,28,3,30,3,28,1,30,1,28,1,30,5,29,1,28,8,30,1,28,4,30,1,28,17,30,5,6,2,9,1,13,1,6,2,28,1,30,1,29,3,30,2,29,1,30,1,29,1,30,1,6,1,30,3,29,1,6,3,13,1,7,1,13,1,8,3,9,1,24,1,12,1,10,1,12,1,9,1,12,1,24,1,17,1,24,1,9,2,28,2,30,2,28,1,6,2,7,1,13,6,10,1,8,1,9,1,12,1,17,1,16,1,6,1,28,1,30,1,6,2,30,1,6,1,30,1,29,1,28,1,30,3,28,1,30,2,28,1,30,3,6,1,30,1,28,7,30,1,6,1,28,131,30,1,28,45,30,1,28,7,30,1,29,1,28,10,30,1,28,1,30,1,28,4,30,1,28,7,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,23,14,1,16,1,11,1,9,1,13,2,6,1,28,1,7,1,6,1,30,1,28,5,6,1,29,1,30,1,29,1,30,5,13,1,9,2,17,2,10,1,28,2,30,1,28,3,30,1,8,3,13,1,30,1,28,39,6,1,13,4,6,1,9,1,17,3,9,1,8,2,13,1,8,2,11,2,17,3,9,1,28,6,13,1,9,1,13,1,28,10,7,2,6,2,13,1,30,2,28,1,13,1,10,1,9,1,17,2,}, {30,1,6,3,13,1,7,1,13,1,24,1,12,1,8,1,17,5,14,1,15,1,24,1,9,1,13,1,8,1,6,1,8,1,9,1,11,1,17,2,16,1,17,2,12,1,17,2,12,1,9,1,13,1,16,1,14,1,9,1,12,1,8,1,13,4,12,1,17,1,16,1,14,1,10,1,13,2,9,2,8,1,9,1,17,3,16,1,12,1,24,1,12,1,24,1,12,1,8,1,28,1,30,1,29,7,6,1,13,1,6,1,13,1,24,1,8,1,6,1,13,1,30,1,8,1,13,1,7,1,13,4,6,1,10,1,24,1,9,1,17,9,10,1,30,1,29,1,6,1,13,1,10,1,11,2,17,1,10,1,11,1,10,2,9,1,16,1,11,1,17,12,16,1,24,1,6,1,9,1,13,1,8,2,9,1,11,1,9,1,29,1,28,32,30,1,28,1,13,2,9,1,11,2,16,1,13,1,30,1,28,5,24,1,17,5,16,1,12,1,9,1,12,1,9,2,10,1,8,1,9,2,13,1,7,1,30,1,13,1,9,2,11,2,16,1,12,1,16,2,10,1,11,1,16,2,17,1,28,15,13,1,30,2,28,1,30,4,28,1,30,1,28,3,30,1,28,1,6,1,30,1,28,2,30,2,28,6,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,4,6,1,28,2,30,1,28,1,30,2,28,3,30,2,28,1,6,1,28,1,29,1,30,5,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,4,28,1,30,1,28,2,30,4,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,1,30,3,6,1,28,1,6,1,28,1,6,1,30,2,6,1,30,2,28,1,30,1,29,1,28,1,30,1,6,1,28,2,29,1,30,1,29,1,30,1,6,1,30,1,28,3,30,2,28,1,30,1,6,1,29,1,6,1,28,1,6,1,30,2,29,1,28,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,30,2,6,1,29,1,30,3,6,2,30,1,6,5,28,1,29,1,6,1,13,1,24,5,25,1,24,2,25,2,27,1,25,1,24,1,26,1,25,2,24,9,25,2,24,5,25,1,8,1,24,3,25,2,24,2,25,1,26,1,25,1,24,1,25,3,26,1,24,1,25,3,24,1,25,2,27,2,29,2,28,2,30,1,25,1,24,6,8,2,13,1,30,1,28,4,30,1,28,8,30,1,6,1,30,1,29,1,13,1,6,1,29,1,30,2,29,1,6,1,28,1,13,1,6,1,9,1,13,2,7,1,13,4,7,1,30,1,8,1,6,1,13,2,6,1,13,1,6,1,13,7,30,2,6,1,30,1,29,1,6,1,30,2,29,1,13,1,30,1,6,3,28,1,7,1,29,4,6,1,29,2,6,1,29,1,6,1,30,2,7,1,6,1,13,1,8,2,24,5,8,1,24,1,8,1,24,8,8,1,24,1,25,1,8,3,7,1,8,1,6,2,29,1,30,2,29,1,30,1,28,57,30,1,29,1,30,1,28,1,29,1,30,1,6,2,30,1,6,1,30,4,28,6,30,1,28,1,30,1,28,14,30,1,28,2,30,1,28,4,30,1,28,32,30,1,28,4,30,1,28,40,6,2,28,1,30,1,28,3,30,1,13,3,28,15,30,2,13,1,28,1,30,1,9,1,13,1,28,5,6,1,30,1,13,1,6,1,13,2,5,4,13,2,33,7,5,3,33,1,5,813,33,1,13,2,6,2,28,7,6,2,28,38,30,2,28,21,30,1,28,2,29,1,28,1,30,1,28,3,30,1,6,2,28,1,30,1,28,5,30,1,28,3,30,2,28,1,30,1,28,2,30,4,28,1,30,4,28,1,30,1,28,1,30,1,28,4,30,1,28,65,30,2,28,1,30,3,28,2,30,1,28,1,30,1,28,5,30,4,29,1,28,1,6,1,30,4,28,1,30,1,28,1,30,1,28,1,30,6,28,1,30,1,28,6,30,3,28,2,30,2,28,2,30,1,28,1,30,2,28,6,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,2,7,1,13,1,6,1,13,1,8,1,6,2,13,1,30,1,6,2,29,1,28,1,30,2,6,1,30,3,6,5,29,2,30,1,13,2,24,2,9,1,17,1,12,1,10,1,12,2,10,1,12,1,17,2,12,1,29,1,30,4,29,1,6,1,29,1,6,1,13,2,7,1,13,2,8,2,9,2,12,2,13,1,28,1,6,2,29,1,6,2,28,1,30,2,6,1,28,1,30,3,28,1,30,9,28,2,30,1,28,1,30,1,13,1,30,1,28,76,30,1,28,91,30,1,28,16,6,1,30,1,28,8,30,1,28,16,30,3,28,5,29,1,30,2,28,2,6,1,30,1,28,24,16,1,17,1,9,1,8,1,13,2,29,1,6,2,29,1,28,7,6,1,30,1,28,3,29,1,6,2,13,1,9,1,16,1,11,1,17,2,28,6,7,1,8,1,9,1,7,1,6,1,28,40,6,1,13,1,30,1,28,1,6,1,13,1,9,1,17,3,11,1,7,1,13,1,8,1,13,2,9,1,17,4,10,1,28,6,13,1,9,1,7,1,28,9,29,1,7,1,13,1,6,1,13,1,30,1,28,1,6,1,9,1,17,2,11,2,17,1,}, {28,1,6,1,13,1,30,1,6,3,8,1,9,1,17,6,14,1,15,1,13,1,6,3,13,1,29,1,12,1,17,3,12,1,17,6,11,1,6,1,12,1,14,1,12,1,9,1,24,1,8,1,10,1,13,1,9,1,16,1,17,2,9,1,24,1,8,1,13,1,6,1,9,2,24,1,12,1,17,2,16,1,9,1,24,1,10,1,14,2,13,1,29,2,6,2,30,2,29,1,13,1,29,1,6,1,30,1,13,1,8,1,6,2,13,2,7,1,30,1,6,2,7,1,13,3,7,1,8,3,17,1,12,1,17,9,9,1,6,3,13,1,9,1,11,1,9,1,8,1,9,2,10,2,11,1,16,1,9,1,16,1,17,9,16,1,13,1,6,1,13,2,8,1,9,3,24,1,29,1,28,31,29,1,30,1,6,2,8,1,13,1,17,1,8,1,11,1,8,1,30,2,28,4,13,1,12,1,17,2,16,2,17,1,16,1,11,2,8,2,9,2,8,2,30,1,8,1,28,1,7,1,8,1,10,2,11,2,17,1,16,1,12,1,16,1,17,3,11,1,30,1,28,14,6,1,30,1,13,1,28,3,30,1,28,1,30,2,28,2,29,1,30,1,28,1,30,1,28,1,29,1,30,2,28,4,30,1,28,5,30,1,28,10,30,1,28,2,30,1,28,1,30,3,6,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,2,30,9,28,1,30,2,28,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,29,1,28,1,30,3,28,1,30,3,6,1,30,2,6,1,30,1,6,1,30,4,6,1,30,1,6,1,30,1,29,1,28,1,6,1,28,2,30,1,28,1,30,4,29,1,28,4,30,1,28,1,30,4,28,1,30,2,28,1,6,1,28,1,30,1,6,2,28,1,30,1,28,1,29,1,30,3,6,1,30,1,7,1,30,2,29,1,6,1,30,1,6,1,30,1,6,3,30,1,6,3,30,1,7,1,30,1,6,2,30,1,6,1,29,1,6,2,8,1,24,7,8,1,26,4,25,5,24,3,25,1,24,1,25,1,24,8,8,1,25,2,8,1,25,1,24,4,25,2,24,2,25,1,8,2,25,3,8,1,26,1,25,1,30,3,29,1,28,1,29,1,27,1,26,1,24,1,12,1,24,5,25,2,13,1,6,1,28,1,30,1,28,10,7,1,6,2,30,1,29,1,6,2,28,1,29,1,30,3,28,1,30,1,13,2,8,1,9,1,13,5,6,2,13,1,6,1,13,8,9,1,13,1,6,3,29,1,30,1,6,3,29,1,30,3,6,1,30,1,28,1,30,1,6,1,30,2,7,1,6,3,29,1,30,1,6,1,29,1,30,3,6,3,29,1,30,1,6,2,7,3,8,3,25,1,7,1,6,1,25,1,7,1,6,6,29,1,28,1,30,2,28,40,30,1,28,1,30,3,6,1,30,1,6,1,28,1,30,2,28,2,30,2,28,1,30,2,6,1,30,1,6,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,13,30,1,28,64,30,1,28,33,30,1,28,2,30,1,28,1,30,1,13,1,30,1,7,1,6,1,28,1,30,4,13,1,9,1,13,2,30,1,7,1,30,1,28,6,6,1,13,2,9,1,13,1,6,1,9,1,16,1,11,1,16,1,11,1,9,1,16,1,5,845,16,1,6,1,28,3,30,1,28,1,6,1,28,25,30,1,28,2,29,1,6,1,30,1,28,36,30,1,28,4,6,1,30,1,28,8,30,1,28,2,30,1,28,3,30,2,28,1,6,1,28,1,30,1,28,1,30,6,28,3,30,2,6,1,28,1,30,1,28,3,30,1,28,6,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,64,6,1,28,1,6,1,30,2,6,1,28,4,30,2,28,1,30,2,28,2,30,1,28,1,30,2,28,4,6,1,30,1,28,1,30,1,28,3,30,1,28,5,30,2,28,1,29,1,28,2,30,1,28,3,30,1,28,2,6,1,28,6,30,2,28,1,30,2,6,1,30,3,13,1,9,1,13,1,6,4,7,1,30,3,6,1,30,2,6,1,30,1,6,2,30,1,6,1,29,1,6,1,29,1,6,1,7,1,13,1,8,1,12,1,17,1,12,1,17,1,12,2,17,3,8,1,6,1,7,1,6,2,30,1,6,2,29,1,7,1,6,1,7,1,13,1,8,1,13,4,11,1,9,1,8,1,30,1,6,1,13,2,6,1,13,1,6,1,29,1,6,1,28,1,30,9,28,1,30,1,28,2,30,1,28,2,6,1,30,2,6,1,13,2,28,173,30,1,28,12,6,1,28,23,30,1,28,1,6,1,30,1,28,1,30,1,28,3,30,4,28,1,6,1,28,27,14,1,16,1,17,1,9,1,6,1,13,1,6,4,28,1,30,1,28,2,30,2,29,1,28,1,30,2,28,1,30,1,29,1,6,2,13,1,9,1,16,1,17,2,8,1,28,5,30,1,6,1,8,1,12,1,13,1,29,1,30,1,28,39,6,1,13,2,6,3,17,4,13,2,8,1,13,1,8,1,9,2,16,1,17,3,8,1,28,6,9,1,13,2,28,8,30,1,13,2,7,1,6,1,13,1,30,1,13,1,9,1,17,3,11,3,}, {30,1,29,1,6,1,13,2,6,1,30,1,8,1,9,1,10,1,17,2,9,1,17,3,14,1,8,1,6,3,8,1,30,1,11,1,17,10,12,1,8,1,15,1,17,1,10,1,9,1,8,1,13,2,7,1,13,1,9,1,17,1,12,1,10,1,24,1,8,1,13,2,9,1,8,1,10,1,12,1,14,1,17,1,11,1,17,1,15,1,9,1,10,1,11,1,8,1,13,1,29,1,28,2,29,1,7,1,30,1,29,1,6,1,7,1,30,1,6,1,13,1,6,1,29,1,6,1,13,1,6,1,13,1,8,1,7,3,13,1,7,3,9,1,12,1,10,1,17,1,16,1,17,10,9,1,7,1,8,1,13,1,9,3,10,1,9,2,13,1,8,1,9,1,8,1,11,1,17,9,14,1,13,2,6,1,9,1,8,2,24,1,8,1,11,1,8,1,28,31,30,1,28,1,30,1,6,1,13,2,10,1,11,2,13,1,29,1,28,5,6,1,17,6,11,2,12,1,17,1,10,1,13,1,24,1,13,2,6,1,13,1,30,1,13,1,8,2,9,1,17,1,9,2,8,1,11,1,17,4,11,1,28,15,6,2,30,2,28,2,30,1,28,2,30,2,28,2,30,4,6,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,3,30,2,28,1,30,2,28,1,30,1,28,5,30,1,28,1,6,1,30,3,28,1,30,7,28,1,30,4,28,1,30,2,6,2,30,1,6,1,30,9,29,1,28,1,30,2,28,1,6,1,30,5,28,1,29,1,30,1,28,1,30,2,28,1,30,8,28,2,30,1,28,1,6,1,30,2,6,1,30,2,28,1,6,1,30,3,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,5,6,2,30,2,6,1,30,1,7,1,28,1,6,1,30,1,6,1,28,1,30,3,6,1,30,1,6,2,30,1,6,3,30,1,13,1,6,2,30,1,6,1,29,1,6,7,29,1,30,1,8,1,24,7,8,1,25,1,24,9,8,1,24,10,8,1,25,1,24,1,25,1,8,1,24,1,8,1,15,1,8,1,25,1,8,1,24,3,25,1,26,1,25,1,8,1,25,1,8,1,26,1,30,1,29,1,28,4,30,1,27,1,24,4,12,1,24,3,25,1,26,1,30,1,28,12,6,1,29,1,6,1,13,1,30,2,28,1,7,1,6,1,30,2,28,2,6,2,30,1,13,1,7,1,6,1,13,8,6,1,13,2,8,1,13,2,9,2,13,4,6,3,29,1,6,3,7,1,6,2,29,1,6,5,29,1,6,1,30,1,6,3,30,4,28,1,30,1,28,1,30,1,28,15,30,1,28,20,30,1,28,5,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,6,2,30,3,28,1,6,2,28,3,30,1,28,4,30,1,28,9,30,1,28,101,6,1,28,2,30,1,13,1,6,2,13,2,6,3,13,4,5,3,33,1,13,3,33,1,5,1,33,1,5,2,33,1,13,1,5,1,33,3,5,1,33,2,5,7,33,1,5,863,33,1,5,1,33,1,5,2,9,1,13,1,30,3,28,4,6,1,13,1,28,9,30,1,28,5,30,2,6,1,13,1,9,1,6,2,7,1,28,39,13,1,28,6,30,1,28,5,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,3,28,1,30,1,28,6,30,2,28,4,30,2,29,1,28,1,30,1,6,1,28,1,30,2,28,1,29,1,30,2,28,1,6,1,28,7,30,2,28,2,30,2,28,61,30,1,28,9,30,2,6,1,30,4,28,1,30,2,28,1,30,1,28,5,30,2,28,3,30,3,28,10,30,1,28,3,6,1,30,1,13,1,6,1,13,2,6,1,9,1,13,1,7,1,13,1,30,1,13,1,6,2,29,1,30,1,6,2,29,1,30,1,6,6,7,1,13,1,24,1,17,1,12,2,17,4,9,1,6,1,30,2,6,3,29,1,13,1,6,2,13,1,7,1,13,1,8,1,13,1,9,1,8,1,9,2,8,1,13,1,28,1,6,1,29,1,6,1,30,1,6,1,30,5,28,1,30,1,28,1,30,2,29,1,28,1,30,2,28,1,30,3,28,1,30,3,28,1,6,1,8,1,13,1,28,186,30,1,28,21,30,1,28,4,30,1,28,39,14,1,17,1,9,1,13,1,9,1,8,1,6,1,30,1,6,1,29,1,28,3,30,1,28,2,6,1,30,1,28,4,29,1,6,1,29,1,8,1,9,1,11,1,17,2,6,1,28,6,7,1,10,1,9,1,6,1,28,41,30,1,7,1,8,1,28,2,6,1,11,1,17,3,9,1,7,1,29,1,8,1,9,3,16,1,11,1,17,2,8,1,28,6,13,1,8,1,30,1,28,3,30,1,28,4,13,3,6,1,8,1,7,1,13,1,10,1,11,1,16,1,11,1,9,1,10,1,17,2,}, {28,1,29,1,6,1,7,1,24,1,13,1,6,1,7,1,12,1,9,1,12,1,15,1,17,1,12,1,16,1,14,1,9,1,8,1,6,1,13,1,29,1,7,2,8,1,17,3,10,1,12,1,11,1,10,1,12,1,17,2,10,1,9,2,14,2,13,1,8,1,13,1,8,3,10,1,17,1,14,1,11,1,8,1,13,2,8,1,10,1,9,1,8,1,11,1,17,3,9,2,15,1,14,1,8,2,6,1,29,1,6,2,28,1,6,2,29,1,30,1,6,2,30,1,13,2,24,1,13,2,7,1,13,1,6,3,8,1,13,1,8,1,7,1,8,2,9,1,24,1,17,5,16,1,17,5,16,1,17,2,9,1,13,2,7,1,9,1,13,1,8,1,9,1,12,1,9,1,11,4,17,8,16,1,8,1,13,1,8,1,6,1,9,2,24,1,13,1,8,1,7,1,28,31,6,1,29,1,6,1,29,1,8,1,12,1,10,2,16,1,9,1,28,2,30,1,28,1,30,1,28,1,30,1,17,3,11,1,17,2,11,1,16,1,9,1,10,1,12,1,8,1,13,1,9,1,13,2,30,1,13,1,6,1,8,1,13,1,8,1,13,1,8,1,9,2,11,1,17,3,16,2,28,15,13,1,30,1,6,1,30,2,28,2,30,1,28,3,30,1,28,4,30,6,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,7,28,1,30,1,6,1,30,6,6,1,30,1,6,1,30,1,29,1,30,8,6,1,28,1,6,1,30,1,6,1,30,2,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,6,2,30,1,28,1,30,1,28,3,30,1,29,1,28,1,30,3,28,1,30,7,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,2,6,1,30,1,13,2,30,2,6,2,13,1,28,1,30,2,28,1,6,1,30,3,28,1,30,1,6,3,30,1,6,1,13,1,6,1,30,1,13,1,6,1,30,1,6,5,30,1,6,1,30,3,6,3,8,1,24,13,8,1,24,11,25,1,24,9,8,1,24,1,25,3,24,1,8,1,25,2,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,8,1,24,7,8,1,27,1,29,1,28,12,30,1,6,1,29,1,30,3,29,1,30,1,13,1,30,1,6,1,30,2,6,1,30,2,29,1,6,4,30,1,6,1,7,1,13,5,8,1,13,2,8,2,13,5,6,2,30,1,29,1,6,1,30,2,29,1,30,5,29,1,6,1,30,1,28,37,30,1,28,2,30,1,6,1,30,3,28,1,30,2,28,2,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,3,28,4,30,1,28,4,6,1,28,12,30,1,28,81,6,1,13,1,9,1,5,3,33,2,5,2,33,1,5,2,33,2,5,5,33,2,5,2,33,1,5,917,33,6,5,1,33,2,13,1,33,3,5,3,9,1,13,1,6,2,30,1,28,1,30,2,13,7,6,2,28,3,30,2,28,3,30,1,28,25,6,1,28,2,6,1,30,1,28,30,30,1,28,8,30,1,28,7,29,1,28,6,30,1,28,2,6,1,28,1,30,5,6,1,30,4,28,1,30,1,28,1,30,2,6,1,28,2,6,1,30,2,28,1,30,1,28,1,30,1,28,12,30,1,28,57,30,3,6,1,28,3,29,2,30,1,28,1,6,1,30,1,28,2,30,1,28,1,30,6,28,3,30,1,28,1,30,1,28,1,30,2,6,1,30,2,6,1,28,1,30,1,28,1,13,3,9,1,10,1,13,1,6,3,30,1,6,3,30,1,6,2,28,1,6,1,29,1,7,1,13,1,24,2,10,1,11,1,17,3,9,1,13,1,30,2,7,1,13,3,29,1,6,4,13,2,9,2,8,2,7,1,30,2,6,3,29,1,6,1,30,1,29,1,30,4,29,1,28,1,30,1,29,1,28,1,29,1,30,3,28,1,6,1,30,4,7,1,30,2,6,1,13,1,6,1,30,1,28,208,30,1,28,3,30,1,28,6,30,1,28,2,30,1,28,30,14,1,17,1,9,1,13,2,7,2,29,1,30,1,6,1,28,1,30,2,28,7,30,2,6,1,30,1,6,1,13,1,10,1,17,1,16,1,17,1,29,1,28,6,30,1,16,1,9,1,6,1,30,1,28,40,29,1,13,1,6,1,30,1,13,1,28,1,17,4,13,1,6,1,13,2,9,3,17,4,13,1,28,5,30,1,13,3,28,3,30,1,28,4,6,2,8,1,13,2,7,1,9,1,11,1,16,1,11,2,9,1,16,1,17,1,11,1,}, {28,2,6,1,7,1,28,1,7,1,13,1,7,1,12,1,24,1,12,2,9,2,12,1,14,1,8,1,6,5,29,1,8,1,17,3,10,1,11,1,9,1,12,1,17,2,10,1,8,1,9,1,11,1,15,1,9,2,8,1,30,1,6,1,13,1,8,1,10,1,16,1,15,1,9,1,13,3,6,1,8,1,10,1,13,1,11,1,17,2,14,2,12,2,14,2,7,1,6,1,29,1,30,1,29,1,30,1,6,2,28,1,7,1,28,1,6,1,30,1,29,1,7,1,29,1,6,1,7,1,6,2,13,1,8,1,6,1,7,2,8,1,6,1,8,3,9,1,17,5,12,1,11,1,17,1,12,1,17,7,8,1,30,2,13,1,9,6,17,1,11,2,17,6,16,2,13,2,6,1,8,1,9,1,24,1,10,1,11,1,6,1,8,1,30,1,28,31,30,1,28,1,29,1,30,1,13,1,10,1,12,2,9,1,28,1,30,1,28,1,6,1,28,2,13,1,17,6,9,1,13,1,8,1,11,1,9,1,8,2,24,1,9,1,13,2,8,1,6,1,7,1,13,3,9,2,10,1,17,4,16,1,9,1,28,15,29,1,30,1,6,1,30,1,6,1,28,2,30,1,28,1,30,1,6,1,28,1,6,1,30,5,6,1,30,9,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,3,30,1,28,1,6,1,30,1,29,1,6,1,28,1,30,1,6,2,28,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,3,29,1,30,3,6,1,30,5,29,1,6,1,30,1,28,2,30,1,28,2,6,1,28,2,30,2,28,3,30,1,28,3,30,1,28,3,30,1,28,1,30,1,6,1,30,1,28,2,30,1,28,1,30,5,28,1,30,5,28,1,6,1,28,2,30,1,29,1,13,1,6,3,30,3,6,4,30,2,6,1,29,1,30,1,6,1,30,2,6,6,30,1,6,1,30,1,28,1,13,1,30,1,28,1,30,3,6,1,28,1,6,1,29,1,30,1,28,1,8,1,25,1,24,1,15,2,24,1,8,1,24,1,12,1,25,1,24,1,8,1,25,1,24,4,15,1,24,2,15,1,24,9,15,1,24,5,8,1,25,1,24,2,25,2,26,1,29,1,28,1,29,1,30,1,28,3,30,1,28,1,29,1,27,1,8,1,24,7,25,1,29,1,30,1,28,10,30,1,6,1,13,1,8,1,29,1,28,1,30,2,29,2,6,3,28,1,30,8,28,1,30,1,6,6,13,2,6,2,30,1,6,1,29,1,6,1,28,1,30,5,28,2,30,3,28,29,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,2,6,1,30,1,28,1,6,1,30,3,28,1,6,1,30,2,6,3,30,1,28,1,30,1,28,2,30,2,28,6,30,1,28,1,30,2,28,12,30,1,28,5,30,1,28,64,30,1,13,2,6,2,28,10,6,2,30,1,13,3,6,2,13,1,6,1,13,4,6,1,13,1,33,2,5,974,33,1,5,33,28,5,30,1,6,1,30,1,28,23,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,20,30,1,28,1,30,1,28,3,30,2,28,5,30,1,28,3,30,1,28,2,30,1,28,1,30,3,28,4,30,1,28,3,30,1,28,1,6,1,28,1,30,2,6,1,28,1,30,2,28,4,30,1,29,1,28,3,30,1,28,1,30,1,28,7,30,1,28,53,6,1,29,1,6,3,28,4,30,2,28,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,6,1,30,3,6,1,30,1,6,1,28,1,30,1,6,1,7,1,6,1,24,1,13,2,6,3,29,1,30,1,29,1,30,1,29,1,6,1,30,1,6,1,13,2,9,1,11,1,9,1,11,1,17,2,9,1,6,2,28,1,30,1,6,1,13,1,7,1,13,1,6,1,30,1,6,4,30,3,6,1,28,1,6,2,7,1,6,1,29,1,30,2,6,1,30,2,6,1,30,1,28,1,6,2,30,1,28,1,30,3,29,1,28,1,30,1,28,3,30,1,28,1,30,2,13,2,6,1,30,2,28,253,30,1,14,1,17,1,9,3,8,1,29,2,6,1,29,1,30,1,28,2,30,1,6,2,30,1,28,2,30,3,6,1,7,1,6,1,8,1,11,1,16,1,17,2,28,7,7,1,9,1,8,1,13,1,6,1,28,40,6,1,13,1,6,1,28,1,30,1,13,1,17,4,13,1,6,1,30,1,13,1,9,2,8,1,16,1,17,3,6,1,28,6,8,1,9,1,30,1,28,8,29,1,6,4,10,1,17,1,16,2,11,2,16,1,10,1,17,1,9,1,}, {28,1,6,2,7,1,9,1,24,1,13,1,8,1,13,1,9,1,12,1,15,1,24,1,9,1,17,1,14,2,15,1,30,1,29,3,6,1,8,1,17,3,11,2,24,1,8,1,12,1,9,1,12,1,8,1,30,1,9,1,15,1,12,1,8,2,13,2,6,1,8,1,10,1,14,1,15,1,9,1,13,1,8,3,24,2,8,1,9,1,17,2,16,1,12,1,9,1,15,2,9,1,24,1,6,2,29,1,30,1,29,1,28,2,29,2,6,1,28,1,6,1,29,1,6,1,29,1,28,1,6,1,30,1,7,1,13,1,6,1,7,1,13,1,6,2,7,1,8,2,9,1,17,5,16,1,11,1,12,2,16,1,17,8,16,1,13,2,8,2,12,1,10,1,11,1,9,2,11,1,17,1,16,1,9,1,11,1,17,4,14,1,9,2,7,1,8,2,9,1,10,1,8,1,13,1,24,1,28,31,30,1,28,3,6,1,9,2,10,1,12,1,8,1,30,1,28,1,29,1,30,1,29,1,30,1,13,1,17,4,16,1,11,1,12,1,10,1,12,1,8,2,24,1,8,1,13,1,9,2,7,1,13,3,7,1,9,4,11,1,17,4,16,2,28,15,30,1,6,1,30,3,6,1,30,2,6,1,30,4,6,2,30,2,6,1,28,1,30,1,6,1,28,1,6,1,28,1,30,2,28,1,30,2,28,1,6,1,30,3,28,2,30,4,28,1,30,5,28,1,6,1,30,1,29,1,28,1,30,3,28,1,30,1,6,1,30,4,6,1,28,1,6,2,30,2,6,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,4,6,2,30,1,28,2,30,1,28,1,30,4,28,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,2,30,2,6,1,30,1,28,1,30,2,6,2,30,1,6,1,28,1,30,7,6,1,28,1,30,1,6,1,30,1,6,4,7,1,30,2,6,1,30,2,6,2,30,1,6,2,30,1,13,1,30,1,6,1,30,1,6,2,30,2,6,4,30,1,6,4,30,1,6,1,30,4,6,1,30,2,6,2,30,1,6,1,13,1,24,1,8,1,24,4,12,1,24,2,8,1,24,1,15,1,24,1,8,1,24,5,15,1,24,1,15,1,24,10,15,1,8,1,25,1,24,1,25,1,26,1,27,1,29,1,28,1,29,1,30,1,29,1,28,1,30,1,28,2,29,1,6,1,25,1,24,2,12,1,24,4,27,2,29,1,30,1,28,9,29,1,6,2,13,1,6,1,29,1,30,5,28,1,6,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,6,2,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,9,30,1,28,20,30,1,28,2,30,1,28,2,30,12,28,1,29,1,28,2,30,2,28,2,30,2,6,1,30,2,6,1,30,4,28,1,30,1,28,2,30,1,28,2,30,1,28,27,30,1,28,30,6,2,30,1,28,11,30,1,13,4,33,3,5,2,33,2,5,1,13,2,6,2,9,1,13,1,9,1,13,2,9,3,13,5,9,1,13,3,5,1,13,1,5,1026,13,4,6,1,28,48,30,1,28,12,30,1,28,2,30,1,28,1,30,2,28,13,30,1,28,2,30,2,28,1,6,1,28,3,30,1,28,5,30,2,28,3,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,6,30,1,28,7,30,1,28,58,30,1,28,4,30,1,28,1,30,3,28,1,6,1,30,1,6,1,28,1,12,1,8,1,9,1,13,1,8,1,6,2,29,1,30,2,6,1,30,2,6,4,9,1,12,2,17,1,12,1,7,2,28,2,30,2,6,1,30,2,6,1,29,1,30,5,6,1,28,1,6,1,30,2,29,1,28,1,30,2,29,1,30,1,28,1,30,1,28,2,30,2,6,1,29,1,30,4,28,1,30,1,28,2,30,3,6,4,30,1,28,257,6,1,14,1,17,1,9,1,13,1,8,1,13,1,7,3,29,1,30,2,28,3,30,2,28,1,30,3,28,1,30,1,6,2,13,1,10,1,17,3,28,7,6,1,10,1,12,1,11,1,28,2,30,1,28,38,7,1,6,2,28,1,30,1,13,1,17,3,9,2,6,1,13,1,8,1,9,3,11,1,17,3,6,1,28,5,6,1,8,1,13,2,28,7,6,1,29,1,6,1,13,1,29,1,13,1,11,1,17,2,12,2,11,1,10,1,11,2,16,1,}, {28,1,30,3,6,2,7,1,13,1,24,1,9,3,24,1,12,1,17,1,14,1,15,1,13,1,6,1,8,2,6,2,7,1,11,1,17,2,9,1,10,1,8,1,24,1,8,1,9,1,13,1,8,1,6,1,13,1,15,1,9,1,6,1,7,1,13,1,29,1,13,1,29,1,24,1,12,1,10,2,24,1,13,1,8,1,13,1,8,1,24,1,13,1,11,1,17,1,12,1,17,1,16,1,9,1,24,1,15,1,14,1,8,1,29,1,30,1,6,1,30,2,28,1,30,1,6,1,29,2,30,2,6,3,30,1,6,1,28,1,8,1,28,1,6,1,13,1,6,1,7,1,13,1,7,1,13,2,9,1,12,1,16,1,17,4,11,1,12,1,11,1,17,1,12,1,16,1,10,1,17,8,7,1,30,1,13,1,8,2,10,3,11,1,9,1,16,1,10,1,8,1,17,3,14,1,9,1,13,2,8,1,13,1,8,1,10,1,9,2,13,1,30,1,28,30,30,1,28,1,6,1,28,1,13,1,11,1,13,1,12,1,17,1,9,1,13,1,28,3,30,2,6,1,17,4,12,1,11,1,13,1,9,4,13,1,8,2,24,1,8,2,7,1,13,1,9,1,8,1,9,2,11,1,10,1,9,1,17,5,9,1,28,15,29,1,30,2,6,1,30,1,28,1,30,2,6,2,29,1,30,5,6,1,29,1,6,1,29,1,30,4,28,1,30,4,29,1,28,1,30,2,28,1,30,1,6,1,28,1,30,3,28,1,30,3,29,1,30,1,6,1,30,1,29,1,6,2,13,1,30,2,6,1,30,1,6,1,30,1,28,1,30,3,28,1,30,2,6,1,29,1,28,1,30,1,6,2,30,3,6,1,30,3,6,1,30,1,28,1,30,3,6,1,30,1,28,1,30,1,6,1,30,2,29,1,30,3,6,1,30,1,6,1,30,1,6,1,30,2,6,2,30,1,6,3,30,1,29,1,30,1,28,2,30,1,6,1,30,2,6,1,28,1,30,1,6,1,30,1,29,1,30,3,28,2,13,2,6,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,28,1,30,2,28,2,29,1,28,1,30,1,6,1,30,2,6,2,29,1,6,2,28,1,6,1,30,1,6,4,30,1,6,2,30,2,6,6,30,1,6,1,30,1,6,1,8,2,24,1,12,1,8,1,24,4,12,1,24,12,25,1,24,8,27,1,25,2,27,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,29,1,27,1,25,1,24,7,25,1,27,1,29,1,28,11,6,1,8,1,13,1,29,1,30,1,28,31,7,1,13,1,28,10,30,8,6,1,30,2,6,1,30,1,6,1,30,5,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,3,30,4,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,6,1,30,1,6,2,30,3,28,18,30,1,28,29,30,3,13,2,6,1,30,1,13,1,16,1,13,1,6,1,28,2,30,1,28,1,6,1,5,1,13,2,33,3,5,1,33,5,5,1073,33,2,9,1,6,4,13,2,30,1,6,1,30,1,6,1,13,1,30,1,28,2,30,1,6,1,28,2,30,1,28,1,30,1,9,1,13,1,28,36,30,1,28,17,30,1,28,1,6,2,28,2,30,2,28,1,30,1,28,1,30,4,28,4,30,3,28,2,30,1,28,3,30,2,28,1,30,1,28,4,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,4,30,1,28,1,6,2,30,1,28,10,6,1,28,42,30,1,29,1,30,2,29,1,6,1,29,1,6,1,13,1,9,3,13,1,7,1,6,1,13,1,6,1,30,2,13,1,30,1,7,1,30,1,6,1,13,1,24,1,11,1,12,1,11,1,13,2,30,1,28,1,30,1,28,2,6,1,30,1,6,1,29,1,30,2,6,1,30,1,28,1,30,4,29,2,28,1,30,4,6,1,29,1,30,3,28,2,30,2,28,4,30,1,6,1,30,1,6,1,7,1,30,1,6,1,30,1,28,2,30,1,28,81,30,1,28,158,30,1,28,17,6,1,17,2,10,1,9,1,13,6,28,7,30,1,28,5,13,2,9,3,17,2,30,1,28,6,13,1,8,1,11,1,8,1,28,1,6,1,30,2,28,37,13,1,8,1,29,1,30,1,28,1,6,1,17,3,16,1,13,2,8,1,9,1,13,1,9,2,16,2,17,2,6,1,28,5,30,1,9,1,13,1,6,1,28,8,6,1,13,1,6,1,13,1,11,1,17,1,12,1,17,1,11,1,17,1,9,1,11,3,9,1,}, {28,2,30,1,7,1,29,1,7,2,13,1,7,1,12,1,24,1,10,1,9,2,17,1,14,2,13,2,8,1,7,1,13,1,6,1,13,1,17,3,12,1,9,1,15,1,24,1,10,1,9,1,12,1,13,1,6,1,8,1,15,1,9,1,8,1,6,5,8,1,24,1,15,1,24,2,13,1,8,1,24,1,10,1,9,1,8,1,9,1,17,4,24,1,8,1,11,1,14,1,24,1,6,1,28,1,29,2,30,1,29,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,28,1,6,1,30,1,29,2,30,1,29,1,28,1,13,1,7,3,6,1,29,1,12,1,9,1,17,1,12,1,14,1,17,1,14,1,17,1,15,2,24,1,9,1,17,1,12,1,11,1,17,8,16,1,13,1,28,1,30,1,7,1,9,2,11,1,17,1,16,1,11,2,12,1,17,2,14,1,9,1,13,2,9,1,8,2,9,1,13,1,8,2,28,31,29,1,30,2,6,1,13,1,9,3,17,1,9,1,28,2,30,1,28,1,30,1,28,1,7,1,11,1,17,3,16,2,10,1,9,2,8,3,9,1,8,1,13,2,9,1,29,1,13,3,9,5,17,4,16,2,30,1,28,15,30,2,28,1,6,1,30,5,28,1,30,1,6,2,30,1,13,1,6,1,29,1,30,2,28,1,6,1,30,1,28,1,30,2,28,2,30,1,28,1,6,1,30,4,28,1,29,1,6,1,30,3,28,1,30,5,28,3,30,2,28,1,29,1,30,2,6,1,30,1,6,1,30,1,6,2,30,2,6,1,28,1,30,1,6,1,30,2,6,4,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,3,28,1,30,1,6,2,30,2,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,3,13,1,30,1,13,1,30,1,29,1,28,1,6,1,30,1,6,1,13,1,29,1,30,3,6,1,28,1,30,2,28,2,30,1,6,1,29,1,13,1,9,1,6,1,30,5,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,13,6,1,30,1,6,1,29,1,6,3,29,1,30,1,7,1,6,2,13,1,6,2,30,1,28,1,6,1,28,1,29,1,6,1,29,1,6,1,24,4,15,1,24,6,15,1,24,2,8,1,24,1,25,1,24,8,25,1,26,1,27,2,29,1,30,2,29,1,30,1,29,1,30,1,29,1,30,1,29,1,28,1,30,2,26,1,25,1,24,8,25,1,29,1,27,1,28,9,30,1,6,1,7,1,6,1,30,1,6,1,28,27,30,1,28,1,30,1,6,1,30,3,13,1,29,1,30,8,6,1,28,1,30,1,28,1,6,2,30,2,28,2,30,2,28,1,30,1,28,2,30,1,28,3,30,7,28,2,30,3,28,1,30,3,28,1,30,1,6,1,28,1,30,1,28,3,6,1,30,1,28,3,30,3,28,1,30,2,28,1,30,1,6,1,28,1,30,3,28,40,30,2,28,2,6,1,13,2,33,1,5,9,33,1,5,1,33,1,5,1,33,1,5,1,33,1,5,1104,9,4,13,4,6,4,30,2,28,1,30,1,28,1,30,2,6,1,13,1,6,1,28,2,30,1,28,21,6,1,13,1,28,14,30,2,6,1,28,1,30,3,28,1,30,4,28,3,29,1,30,2,28,3,30,1,28,2,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,2,30,5,28,1,30,3,28,1,30,1,28,5,30,1,28,2,30,4,28,2,30,2,28,3,30,1,28,1,30,2,28,35,6,3,30,1,6,1,30,1,6,1,29,1,9,1,17,3,9,1,13,1,7,1,8,1,6,1,13,2,6,2,13,2,8,1,13,1,9,2,10,1,28,8,30,2,6,3,30,1,6,1,28,1,6,1,30,3,29,2,30,2,6,1,30,2,28,1,30,3,28,6,30,2,28,1,30,2,6,1,30,1,28,8,29,1,28,79,30,1,28,158,30,1,28,17,30,1,17,2,11,1,13,1,8,1,9,1,29,1,13,2,6,1,28,5,30,1,28,6,29,1,13,2,9,1,10,1,16,1,17,2,6,1,28,6,8,1,10,1,9,2,28,1,30,1,28,39,8,1,29,2,30,1,6,1,8,1,17,3,16,1,6,1,13,2,8,3,9,1,17,4,6,1,28,5,13,1,9,1,13,1,30,1,28,6,30,1,28,1,29,2,13,1,8,1,9,1,17,1,16,1,11,1,12,1,10,1,8,1,9,1,11,1,10,1,8,1,}, {28,3,6,1,29,1,7,2,9,1,24,1,15,1,9,2,10,1,8,1,13,1,14,1,15,1,9,1,6,1,30,1,13,1,6,2,7,1,8,1,17,1,16,1,17,1,16,1,10,1,8,2,9,2,8,1,29,1,13,1,10,1,8,1,7,1,13,1,6,1,7,1,6,1,30,1,8,1,12,1,11,1,13,5,8,1,13,1,8,1,12,1,11,1,17,3,9,1,15,1,10,1,14,1,12,1,8,1,28,1,30,1,6,1,28,1,29,1,6,1,30,1,28,2,29,1,30,1,29,1,28,1,30,2,6,1,30,1,6,1,30,1,28,1,30,1,6,2,8,1,13,2,6,1,24,1,17,4,14,1,17,2,9,1,17,1,24,1,12,1,8,1,9,1,17,12,9,1,28,1,29,1,13,1,10,1,11,1,16,1,10,1,17,1,8,1,16,2,9,1,13,3,7,1,13,1,12,1,24,1,8,1,10,1,8,1,28,31,6,2,28,1,13,3,10,1,17,2,11,1,29,1,30,1,28,2,29,1,28,1,6,1,17,4,16,1,9,2,8,1,10,1,9,1,13,2,8,2,13,2,7,2,8,3,6,1,8,2,9,1,10,1,9,1,17,3,16,1,17,1,30,1,28,14,30,1,6,1,30,1,28,1,30,3,6,2,30,1,6,2,30,1,6,1,30,2,28,1,30,6,6,1,30,2,28,1,6,1,30,1,28,1,30,4,6,1,30,1,28,1,30,3,6,1,28,1,30,6,29,1,6,1,30,5,6,1,30,1,29,1,6,1,30,1,6,1,7,1,30,1,28,1,6,1,30,1,6,3,30,4,6,1,30,3,6,4,30,2,28,1,30,1,6,4,29,1,6,2,30,1,6,2,30,4,6,3,30,2,28,2,30,1,28,1,30,1,6,1,30,2,28,1,30,1,6,3,30,2,6,2,30,3,6,3,30,2,6,1,30,2,28,5,30,3,28,1,30,2,28,3,30,1,28,2,30,3,29,1,30,1,6,2,30,2,6,1,30,1,6,1,30,1,6,2,30,1,13,1,6,2,30,1,13,1,30,1,6,5,29,1,30,1,6,2,24,1,10,1,24,4,8,1,24,1,15,1,24,1,14,1,24,1,8,1,24,1,8,1,24,2,8,1,25,3,26,1,29,1,30,1,27,1,29,1,27,2,29,2,27,1,29,3,30,1,29,3,27,1,26,1,25,1,24,2,15,1,24,3,25,3,27,1,28,1,30,1,28,8,30,1,6,2,30,1,28,3,30,1,28,9,30,2,28,1,30,2,28,4,30,3,29,1,30,9,6,1,30,1,6,2,29,1,30,1,6,1,30,8,29,1,28,4,6,1,28,1,30,1,28,4,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,5,30,1,28,1,30,2,28,3,30,2,28,2,30,2,28,4,30,2,28,1,30,2,6,1,28,1,6,3,30,1,6,2,13,12,33,1,13,4,6,1,13,1,28,7,30,2,28,1,30,2,13,1,33,1,5,2,33,1,5,6,33,3,5,1135,13,2,6,2,30,1,6,6,13,1,6,1,30,2,28,1,6,1,28,1,30,2,28,1,30,1,6,1,30,1,28,12,30,1,17,1,13,1,28,18,30,1,28,5,30,2,28,22,30,1,28,2,30,2,28,1,30,1,6,1,28,1,30,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,30,2,28,1,30,2,29,1,30,3,6,1,28,1,30,3,28,1,30,3,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,8,30,1,28,7,6,4,30,1,29,1,6,1,28,1,13,1,11,1,17,3,11,2,10,1,8,2,13,1,8,1,13,2,24,1,9,4,13,1,30,1,28,14,30,1,28,1,30,1,28,11,30,1,28,2,30,2,28,4,30,1,28,7,30,1,28,1,30,1,28,51,30,1,28,208,29,1,17,1,16,1,9,1,8,1,13,1,9,1,6,1,7,1,13,1,6,1,28,11,30,2,13,2,8,1,17,4,30,1,28,6,13,1,16,1,9,1,30,1,28,41,8,1,13,1,30,1,29,1,6,1,9,1,17,2,16,1,9,1,13,5,8,1,10,1,17,4,29,1,28,5,13,1,8,2,28,9,30,2,13,1,11,1,17,1,16,1,17,1,16,1,9,3,8,1,9,2,13,1,}, {28,2,29,1,28,1,8,2,6,2,8,2,15,1,9,1,12,1,9,2,12,1,11,1,8,2,13,3,30,1,7,1,11,1,17,2,12,1,11,1,16,1,11,1,9,1,17,1,15,1,8,1,10,1,30,1,11,1,14,1,24,1,6,1,13,1,29,1,13,1,24,1,7,1,8,1,10,1,12,1,13,2,7,1,6,1,13,3,9,1,17,2,12,1,11,1,9,1,13,1,14,2,8,1,29,2,28,1,29,1,6,1,30,2,29,1,28,2,6,1,28,1,6,1,29,1,28,1,6,1,30,1,29,1,6,1,28,1,30,1,6,1,28,2,13,1,6,1,13,2,8,1,17,3,16,1,14,1,17,1,12,1,16,2,17,1,9,1,17,3,11,1,17,12,13,1,8,1,13,3,9,1,16,1,11,1,16,1,9,1,16,1,9,1,13,1,8,1,13,1,24,1,8,2,12,1,24,1,6,1,29,1,28,30,29,2,30,1,7,1,9,1,13,1,10,1,16,1,17,1,9,1,29,1,28,1,30,1,28,1,29,1,28,1,8,1,17,5,16,1,10,1,9,3,8,1,9,1,13,1,8,1,13,1,8,1,6,1,7,1,6,1,8,1,9,1,8,3,24,1,9,1,16,1,9,1,17,4,30,1,28,14,30,1,6,1,28,1,6,1,30,6,28,1,30,8,6,1,30,1,28,1,30,3,6,2,30,2,28,1,30,1,28,1,30,1,6,1,30,7,6,1,30,2,29,1,30,11,13,1,6,1,30,6,6,1,30,1,7,1,28,1,6,1,30,2,6,2,30,3,6,1,30,2,28,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,6,2,28,2,30,2,6,1,30,6,28,1,30,2,13,1,30,1,28,1,30,1,28,1,7,1,28,1,30,1,29,1,28,1,30,1,28,1,30,2,28,1,29,1,30,1,28,1,6,2,30,1,28,1,30,1,28,1,30,3,28,1,6,1,30,1,28,1,30,1,6,1,28,3,30,4,6,1,30,2,28,1,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,3,6,2,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,5,6,1,28,1,6,1,8,4,26,1,25,2,24,1,8,1,24,2,25,2,26,1,30,1,26,1,29,1,27,1,29,5,30,1,29,1,28,1,29,1,30,1,6,2,29,1,28,2,29,1,27,1,26,1,25,1,24,1,8,1,24,4,8,1,24,2,25,1,27,1,28,1,30,1,28,2,30,1,28,4,30,1,6,1,13,1,7,1,6,2,29,2,30,2,28,2,30,1,28,1,30,1,28,2,30,4,28,1,30,1,28,2,30,1,28,1,6,1,30,1,6,1,30,4,6,1,28,1,30,5,28,1,29,1,30,1,6,2,30,1,28,1,30,4,28,1,30,2,28,1,6,1,28,2,29,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,10,30,1,28,5,30,6,28,2,30,1,7,1,30,1,28,1,30,4,6,1,28,1,13,4,9,1,13,1,9,1,33,1,5,23,33,1,5,1166,13,2,33,2,13,3,33,1,5,1,13,2,33,1,13,1,5,1,13,1,9,1,13,1,9,3,13,2,9,1,13,3,9,1,5,1,16,1,17,1,5,1,13,1,9,1,13,2,28,1,13,1,9,2,13,1,28,3,6,2,28,9,30,2,28,27,30,2,28,10,30,1,28,6,30,3,28,1,30,1,28,1,30,1,6,1,30,5,28,3,30,1,28,1,30,2,6,1,28,1,6,1,30,2,28,1,30,3,28,1,30,2,28,1,30,4,28,1,30,1,28,3,6,1,30,2,28,4,30,2,29,1,6,1,13,1,6,1,13,1,7,1,6,2,13,1,8,1,17,1,12,1,8,1,12,1,17,3,9,2,11,1,9,3,10,1,11,2,13,1,30,2,28,31,30,1,28,4,30,1,28,2,30,2,28,1,6,1,30,8,28,80,30,1,28,158,6,1,28,17,9,1,17,1,16,1,13,1,9,1,13,3,29,1,8,1,6,1,28,1,30,1,28,3,6,2,28,3,6,3,13,3,11,2,17,2,28,7,8,1,10,1,16,1,6,1,30,1,28,3,30,1,28,35,30,1,8,1,6,1,29,2,13,1,9,1,17,3,9,1,30,1,6,1,13,2,10,1,9,2,17,4,6,1,28,4,30,1,13,1,9,1,13,1,6,1,28,7,30,1,28,1,30,1,9,1,17,1,12,1,16,1,11,1,9,1,11,1,9,3,16,1,9,1,8,1,}, {28,2,30,2,29,1,6,1,29,1,8,1,24,1,9,1,10,3,9,2,15,1,14,1,15,1,13,1,8,2,13,1,29,1,6,1,9,1,17,4,10,2,15,1,9,1,24,1,8,1,24,1,6,1,14,1,10,1,8,1,6,1,13,2,6,1,13,2,9,1,17,1,8,2,10,1,6,1,8,2,13,3,17,2,11,1,13,1,9,2,10,1,11,1,12,1,29,1,30,1,6,2,30,1,28,1,30,1,28,1,30,1,28,4,29,1,28,1,29,1,7,1,29,1,30,1,29,1,30,2,29,1,6,1,30,1,28,1,6,2,8,2,17,1,9,1,16,1,17,2,16,1,17,1,10,1,9,1,11,1,12,1,17,17,9,1,8,1,13,2,11,1,9,1,11,1,16,1,9,2,13,1,6,2,13,1,8,1,11,1,9,1,24,1,8,1,28,32,13,1,7,1,6,1,8,2,11,1,17,1,16,1,11,1,13,1,28,3,30,1,28,1,13,1,12,1,11,1,17,1,16,1,17,2,10,1,11,1,9,2,10,1,6,1,13,1,9,1,13,1,8,1,6,2,13,2,8,1,9,1,8,1,13,1,9,2,8,1,13,1,17,2,16,1,17,1,30,1,28,15,30,1,28,1,30,3,6,2,28,4,6,1,28,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,4,6,1,30,3,28,1,30,4,29,1,30,3,6,1,29,1,30,2,29,1,30,3,6,1,30,1,6,2,29,1,28,1,30,2,28,1,30,3,6,1,28,1,30,4,6,1,28,1,30,2,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,4,30,1,28,1,6,1,30,2,29,1,30,2,29,1,30,3,28,1,6,2,30,1,6,1,30,2,6,1,30,1,28,1,6,1,30,2,6,2,30,2,6,1,30,2,29,1,28,1,6,1,30,2,28,1,30,1,6,1,28,2,6,1,30,1,28,2,30,1,28,1,30,1,6,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,27,30,1,28,1,29,2,27,2,26,1,27,2,25,1,8,1,27,2,29,1,30,1,29,2,30,1,28,1,29,4,28,2,30,3,29,1,26,1,25,2,24,8,15,1,24,1,8,1,27,1,28,8,29,1,13,3,8,1,6,2,7,1,6,1,30,2,29,1,28,1,6,4,30,2,29,1,30,2,6,5,30,3,6,1,30,1,28,1,6,1,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,28,2,30,2,28,2,30,1,28,14,6,2,30,1,28,3,29,1,6,1,28,4,30,1,28,4,30,1,6,1,28,1,5,1268,30,1,28,3,30,1,28,2,30,1,6,1,28,35,30,4,28,1,6,1,30,1,6,1,30,3,6,1,30,1,7,1,30,2,28,1,13,1,6,1,30,1,28,4,30,1,6,1,30,6,28,6,30,1,28,2,30,1,29,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,2,13,1,7,1,6,1,13,1,8,1,10,1,11,1,9,1,12,1,17,3,12,2,10,1,11,3,12,1,11,1,8,1,6,1,7,1,6,2,30,1,28,1,30,3,28,31,30,3,28,3,29,1,28,1,6,3,28,1,30,1,28,1,30,1,29,1,28,1,30,1,28,5,30,1,28,12,30,1,28,56,13,1,6,1,28,158,13,1,28,17,9,1,17,1,11,2,8,1,11,1,13,1,6,1,13,1,8,2,28,4,6,1,28,1,6,1,28,2,6,1,30,1,29,1,13,1,8,2,9,2,17,2,11,1,28,6,30,1,13,1,16,1,9,1,6,1,28,41,13,1,6,1,30,1,6,1,13,1,9,1,17,2,16,1,11,1,7,1,30,1,13,4,9,1,17,4,28,6,7,1,9,1,8,1,30,1,28,9,9,1,16,1,17,1,11,1,16,1,10,2,11,1,8,1,10,1,9,1,8,1,13,2,}, {28,1,30,1,28,1,13,1,6,3,29,1,13,1,24,1,17,3,24,1,15,1,12,1,14,1,9,1,13,2,8,1,13,1,7,1,30,1,17,4,16,1,10,1,17,1,10,3,8,1,9,1,13,1,17,1,14,1,15,1,6,1,8,1,13,4,17,2,15,1,8,1,9,1,13,1,7,1,13,2,6,1,8,1,17,2,11,1,9,1,8,2,14,2,9,1,6,1,30,2,28,3,29,1,30,1,29,1,28,1,30,2,28,1,29,1,6,1,28,1,6,1,13,1,6,1,30,2,6,1,28,3,6,1,30,1,13,2,8,1,16,2,11,1,17,2,16,1,17,4,12,1,17,3,16,1,17,6,16,2,17,7,9,1,13,1,8,2,13,1,11,1,10,2,8,2,13,1,24,1,13,1,8,1,9,1,24,1,9,1,30,1,28,31,13,1,6,1,7,1,13,1,9,1,10,1,9,1,16,1,9,1,6,1,28,1,30,1,28,1,30,1,28,1,13,1,17,3,11,6,17,1,9,2,8,1,24,1,8,2,13,1,6,2,24,1,13,1,9,1,24,1,13,1,9,1,11,1,10,2,11,1,17,3,6,1,28,14,30,1,29,1,30,2,6,1,30,2,6,1,30,2,6,1,30,1,28,1,30,1,6,2,30,3,6,1,30,1,6,1,30,6,29,1,28,1,30,1,28,1,6,1,28,1,30,5,28,1,29,1,30,2,28,3,30,8,6,1,28,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,6,1,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,2,28,2,30,2,6,1,28,2,30,2,28,1,30,1,29,1,28,1,30,3,28,1,30,8,6,1,30,2,6,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,6,1,30,3,28,1,30,2,28,1,6,1,13,1,30,2,28,1,30,4,28,1,6,1,30,2,28,2,30,1,28,3,30,1,28,37,30,2,28,2,30,2,29,2,6,1,25,3,26,1,25,1,26,2,27,2,29,2,28,1,30,2,27,1,28,1,30,1,28,2,30,2,28,1,6,1,25,2,26,1,8,1,25,1,24,5,8,1,26,1,27,1,29,1,28,1,30,2,28,2,30,1,28,1,6,1,13,2,29,1,6,3,30,1,6,2,30,1,29,1,30,1,6,3,30,1,6,2,29,2,30,1,6,2,13,1,6,1,30,1,29,1,30,3,28,1,30,1,28,6,30,1,28,6,30,1,28,6,30,2,28,2,30,2,28,1,30,3,28,16,30,3,28,2,30,1,28,3,30,1,28,6,5,1,16,1,5,1289,9,1,13,2,30,1,6,1,30,1,28,32,30,1,28,3,30,3,28,1,6,1,28,6,30,1,28,1,29,1,28,2,30,2,28,7,30,3,28,1,29,1,6,1,30,2,6,2,13,2,7,1,13,1,8,1,6,1,8,1,17,1,9,1,12,2,10,1,17,1,12,1,17,4,12,1,17,2,9,1,30,2,6,1,30,1,6,1,30,7,28,6,30,2,28,21,30,1,28,6,30,2,28,13,30,1,28,12,30,1,28,55,30,1,28,1,6,2,28,1,30,1,28,156,6,1,28,17,11,1,17,1,16,1,13,1,8,1,13,1,7,2,13,2,6,1,30,2,28,4,30,1,29,1,28,1,30,1,29,2,6,1,13,2,8,1,16,1,17,3,28,7,10,1,9,2,6,1,28,1,30,1,28,39,13,1,6,1,7,1,6,1,7,1,9,1,17,2,16,1,8,1,30,1,7,1,6,2,13,1,9,1,13,1,16,1,17,2,11,1,28,5,30,1,13,1,9,1,8,1,28,4,30,1,28,2,6,2,13,2,8,1,16,1,11,1,9,4,10,1,9,2,13,3,}, {28,3,30,1,6,1,30,1,6,1,24,1,13,1,9,1,10,1,15,1,12,1,8,1,17,1,14,2,9,1,8,1,13,1,30,1,6,2,29,1,9,1,17,3,16,1,17,1,16,1,9,1,14,1,16,1,17,1,8,1,24,1,14,2,24,1,8,2,13,1,7,1,30,1,7,1,10,2,16,1,17,1,8,1,6,1,7,1,8,1,13,1,6,1,24,1,12,1,17,2,10,1,13,1,8,1,9,1,15,1,9,1,6,1,28,1,6,1,28,1,29,1,30,2,6,1,30,1,29,1,28,2,29,1,28,1,30,4,29,2,13,1,6,1,13,1,6,1,28,1,6,1,28,1,6,1,9,1,12,1,9,1,15,1,12,1,17,2,16,1,11,1,17,1,16,2,17,1,11,1,16,1,11,1,16,1,17,6,16,1,9,1,12,1,17,1,16,1,17,5,16,1,9,1,6,1,30,1,13,1,9,1,13,4,9,1,8,1,10,1,12,1,24,1,11,1,30,2,28,29,6,1,13,1,29,1,13,2,9,1,11,1,17,1,16,1,9,1,6,1,30,1,28,1,30,1,28,2,7,1,11,1,17,1,12,1,11,4,9,1,10,1,11,1,10,1,11,1,13,1,9,1,13,4,29,1,24,1,10,1,12,1,9,1,8,4,9,1,11,1,17,1,16,1,17,1,13,1,28,15,30,6,6,2,28,2,30,2,6,1,29,1,30,1,6,2,30,1,13,1,6,1,30,1,28,1,30,4,29,1,30,2,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,13,28,1,29,2,30,3,28,1,30,1,6,1,30,1,6,1,28,1,6,1,28,1,6,1,30,2,28,1,30,3,28,2,30,3,28,1,30,5,6,1,28,1,30,3,6,1,28,2,6,1,30,4,6,1,30,5,29,1,28,1,6,2,30,4,6,2,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,40,30,2,28,3,30,1,28,1,30,1,28,2,30,2,6,1,30,4,28,1,30,2,29,1,7,1,13,1,7,1,25,3,26,1,25,2,26,2,27,1,25,1,29,4,28,1,30,2,28,1,30,1,29,2,27,2,25,1,8,2,25,1,24,2,8,1,25,1,26,1,29,1,28,6,30,1,6,1,24,1,7,1,6,1,28,1,30,1,6,1,30,1,6,2,30,5,28,1,29,1,28,2,30,1,28,1,30,2,28,1,6,1,30,1,13,1,30,4,28,16,30,1,28,4,30,3,28,3,6,1,30,3,28,2,30,1,6,2,30,2,28,1,6,1,13,1,6,1,30,1,28,2,30,2,28,2,6,1,30,1,6,1,13,3,9,1,13,1,33,1,5,4,33,1,5,1300,13,2,30,1,28,1,30,1,28,1,30,1,28,19,30,1,28,34,30,1,6,1,30,1,28,1,30,2,6,2,30,2,6,2,7,1,13,1,6,2,13,1,24,1,10,1,9,1,12,2,17,6,12,1,17,1,11,1,6,2,29,1,30,3,6,2,30,2,6,4,30,1,6,2,13,1,6,1,30,4,6,1,13,1,30,1,28,1,30,5,6,2,28,72,30,2,28,27,6,2,28,15,30,1,28,1,30,2,28,31,30,1,28,107,6,1,28,17,11,1,17,2,8,1,13,3,6,2,13,2,28,3,6,1,28,2,30,1,6,1,28,1,6,1,13,1,30,1,13,1,6,1,9,1,16,1,9,1,17,2,9,1,28,7,8,1,9,1,8,1,30,1,28,1,29,1,28,39,9,1,6,1,29,1,30,1,6,1,8,1,17,2,10,1,13,1,7,1,6,1,7,1,9,1,13,2,9,1,17,4,28,5,30,1,13,1,9,1,13,1,28,7,6,1,8,1,11,2,17,1,16,2,11,1,10,1,9,4,8,1,6,1,7,1,13,1,}, {28,4,6,1,29,1,6,1,29,1,13,1,6,1,9,1,15,1,11,2,17,2,14,1,9,1,6,3,13,1,6,2,9,1,17,1,11,1,17,3,12,1,14,1,17,1,14,1,10,1,8,2,14,2,24,1,8,1,13,1,8,1,13,1,8,2,10,1,17,2,10,1,13,1,8,1,6,1,7,1,24,1,6,1,13,1,9,1,17,1,10,1,12,2,9,1,15,2,11,1,13,1,30,1,29,1,28,1,6,1,28,1,13,1,29,1,6,2,28,2,29,2,6,1,30,2,6,2,30,1,13,1,7,1,6,1,7,1,13,1,28,1,7,1,6,2,13,1,16,1,9,1,11,1,17,1,16,3,9,1,17,1,9,1,12,1,16,1,11,1,16,1,17,6,16,1,12,1,10,1,8,1,17,1,9,1,17,7,11,1,13,2,29,1,13,2,7,1,8,1,9,3,8,1,10,1,9,1,29,1,28,2,30,1,28,26,30,1,29,1,7,2,6,1,13,2,9,1,16,2,11,1,6,1,28,3,6,1,28,1,6,1,12,1,17,4,11,1,9,1,11,1,9,2,10,1,8,1,9,4,13,1,29,1,6,1,13,1,9,1,17,1,9,1,12,1,11,1,12,1,17,1,9,2,17,1,16,2,8,1,28,15,30,3,6,1,30,2,6,1,30,4,6,1,29,1,30,3,29,1,30,2,29,1,30,1,29,1,30,3,28,1,30,1,28,1,30,4,28,1,30,4,28,1,30,1,29,1,28,1,29,1,6,1,30,8,28,1,30,3,28,1,30,1,6,1,28,1,29,1,6,1,30,1,6,1,30,2,28,1,30,4,6,1,30,1,6,1,30,6,28,2,30,3,6,1,29,1,30,1,6,1,30,6,28,6,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,35,30,1,28,2,30,1,28,3,30,4,28,2,30,1,28,1,6,1,30,7,28,1,30,2,6,2,28,1,29,1,6,1,28,1,30,1,29,1,28,2,13,1,6,1,28,1,30,1,28,1,29,1,28,4,13,1,6,1,7,1,24,1,8,1,25,1,8,1,27,1,8,1,26,1,27,1,29,1,27,1,29,1,27,1,28,1,29,1,30,2,29,2,30,2,27,1,29,1,27,1,26,2,27,2,25,1,27,1,29,1,30,2,28,6,6,1,13,2,30,1,28,1,30,1,28,1,30,1,6,1,9,1,6,1,28,1,30,2,28,6,30,1,28,6,29,1,30,1,28,1,30,1,28,9,30,1,28,9,30,2,28,1,30,1,13,4,30,1,6,1,13,6,9,2,13,4,11,1,9,1,13,3,9,1,16,2,5,3,33,1,5,1314,9,1,6,1,13,4,9,1,13,4,28,2,6,1,30,1,6,1,13,1,6,1,30,1,6,3,13,1,30,2,6,1,30,1,6,1,30,1,28,1,13,1,6,1,28,26,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,3,28,1,29,2,13,2,6,1,13,1,8,1,9,2,12,1,11,1,17,2,12,1,17,5,6,2,7,1,30,3,28,1,30,2,6,2,30,3,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,7,30,1,6,1,9,1,13,1,30,1,6,1,28,71,6,1,29,1,28,26,30,1,28,18,30,2,28,24,30,2,28,113,6,1,28,17,11,1,17,1,16,1,9,1,8,1,13,2,30,1,13,2,30,1,28,3,29,1,28,1,6,1,28,1,30,2,28,1,6,2,7,1,13,2,11,1,16,1,17,2,10,1,28,6,30,1,9,1,10,1,11,1,13,1,28,1,6,1,28,39,13,1,7,1,30,1,28,1,13,1,17,3,11,1,9,1,6,1,30,1,7,1,13,1,8,1,9,2,16,1,17,2,11,1,28,4,30,2,8,1,9,1,6,1,28,4,30,1,13,1,9,1,11,1,9,1,16,1,11,1,16,1,9,1,16,1,8,3,9,1,8,1,9,2,13,2,9,1,}, {28,1,29,1,28,1,8,2,13,1,6,1,8,3,24,1,8,1,13,1,8,1,17,2,14,1,9,1,24,1,13,2,6,1,7,1,6,1,9,1,17,2,16,3,12,1,14,2,17,1,10,1,8,1,13,1,17,1,14,1,9,1,13,1,30,1,29,1,6,3,10,1,16,3,6,1,7,1,6,2,13,1,6,2,12,1,17,2,16,1,9,1,16,1,15,2,8,1,6,2,30,2,29,1,28,1,6,2,29,1,6,1,30,2,28,1,29,1,28,2,6,1,29,2,7,1,6,2,29,2,7,1,6,1,30,1,29,1,7,1,12,1,9,1,10,1,17,1,16,1,14,1,12,1,16,2,12,1,10,1,16,4,17,5,16,1,17,1,12,2,9,1,11,1,9,1,17,7,16,1,24,2,13,2,7,1,6,1,13,1,9,2,10,3,24,1,7,1,6,1,30,1,28,1,30,1,28,26,29,1,6,1,7,1,6,2,13,1,17,1,11,1,16,1,9,1,6,1,28,2,30,1,28,2,6,1,9,1,17,4,12,1,11,1,16,1,11,2,17,1,10,2,9,3,13,5,9,2,17,1,12,1,11,1,12,1,11,1,17,1,11,1,16,1,17,1,8,1,28,16,30,2,6,2,30,1,6,1,30,3,29,1,30,2,6,1,13,1,30,2,6,1,29,1,30,3,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,9,28,1,30,1,29,1,30,2,6,1,30,3,29,2,28,1,30,1,29,1,30,1,29,1,30,7,6,1,28,1,30,4,6,1,28,1,6,1,30,6,28,2,6,2,30,3,28,8,30,1,28,39,30,5,28,1,6,1,28,2,30,5,28,1,30,2,28,1,30,1,6,1,28,1,6,1,30,3,6,1,30,9,6,1,30,2,28,1,30,1,28,4,7,1,30,1,28,1,30,3,28,1,29,1,28,1,30,1,28,1,30,1,28,1,6,2,13,1,8,1,24,1,8,1,13,2,6,1,25,1,29,3,30,1,28,1,30,2,28,3,29,1,30,1,29,2,27,2,28,1,30,2,28,5,30,1,28,1,30,1,6,1,30,1,29,1,28,2,30,1,28,1,30,1,29,1,6,1,30,1,6,1,30,5,28,1,30,2,28,6,30,1,28,1,30,2,28,11,6,1,30,1,28,3,30,1,6,1,30,1,13,1,33,3,5,1397,33,3,13,4,6,1,28,4,30,2,28,2,30,1,28,1,30,2,7,1,8,1,13,1,8,2,13,1,8,1,10,1,17,5,12,1,17,3,6,1,30,2,6,1,28,1,30,1,28,2,29,1,30,1,6,1,30,2,28,2,30,1,28,16,9,1,13,1,6,1,30,4,28,9,30,1,28,5,30,1,28,39,30,1,28,4,30,1,28,18,30,1,28,1,30,1,28,14,30,2,28,19,30,1,28,157,16,1,17,1,16,1,9,1,13,1,6,1,13,1,30,1,6,1,13,1,29,1,28,3,6,1,30,1,28,1,30,1,29,1,30,1,7,1,6,2,13,2,9,1,13,1,10,1,17,2,9,1,30,1,28,6,9,3,7,1,28,1,30,1,28,39,8,1,6,2,13,2,10,1,17,2,9,1,13,1,6,2,13,1,8,1,13,2,9,1,17,4,28,5,6,1,9,2,13,1,28,1,30,2,6,1,8,1,16,1,11,3,16,1,11,1,10,1,9,3,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,2,}, {28,1,30,1,28,1,30,2,6,2,13,1,6,2,24,1,8,2,9,2,17,1,14,1,9,1,11,1,8,1,13,1,7,1,13,1,6,1,24,1,17,4,16,1,17,4,9,1,8,1,13,1,9,1,14,1,24,1,8,1,13,5,9,1,16,1,17,1,9,1,8,1,6,1,13,2,8,1,24,1,8,1,11,1,17,3,10,1,16,1,11,1,14,1,10,1,13,2,30,1,28,1,6,1,30,1,28,1,30,3,6,1,29,1,28,1,29,1,30,1,28,2,30,1,29,1,6,1,30,1,6,3,13,1,7,1,29,1,6,2,8,1,16,1,17,1,12,1,10,1,17,1,11,1,9,2,11,1,9,1,11,1,16,1,11,2,16,1,17,2,12,1,11,1,16,1,9,1,8,1,16,1,10,1,12,3,16,2,17,4,9,1,16,1,9,2,24,1,7,1,28,2,7,1,6,1,10,1,9,2,12,1,13,1,6,1,30,1,29,1,30,1,6,1,29,1,28,24,6,1,13,2,7,1,13,1,24,1,16,2,11,1,10,1,13,1,30,5,28,1,9,1,11,1,17,4,16,1,9,1,11,1,17,1,10,1,9,3,13,2,9,1,24,1,13,1,7,2,24,1,9,1,11,1,17,1,11,1,17,1,16,1,17,2,16,1,11,1,10,1,28,17,30,3,6,2,30,2,28,1,6,1,30,1,28,1,30,1,28,1,6,1,29,1,30,5,28,3,30,2,28,1,30,2,28,1,30,7,6,1,28,1,6,2,29,1,30,1,28,1,6,1,28,1,6,1,30,2,6,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,2,6,1,28,7,7,1,6,1,28,40,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,1,6,1,28,1,6,1,30,2,28,1,29,1,30,2,6,2,28,1,6,1,30,5,6,1,28,1,30,1,29,1,30,1,6,1,30,1,6,1,7,1,30,4,6,1,30,1,6,2,30,2,29,1,30,1,28,1,30,1,28,1,30,1,28,9,30,4,28,1,30,1,28,3,30,2,28,1,30,3,28,1,30,3,13,2,24,1,13,1,8,1,7,1,6,2,29,2,28,5,29,1,25,1,29,2,28,2,30,1,28,2,29,1,30,1,7,1,6,1,29,2,6,1,30,1,28,3,6,1,28,4,6,1,13,1,30,1,28,1,30,1,28,3,30,1,28,6,30,1,28,3,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,1,13,1,9,2,16,1,5,1413,33,1,13,5,30,1,28,7,7,1,13,1,9,1,17,1,9,2,17,8,6,1,30,4,28,1,30,1,28,2,30,2,28,22,11,1,6,1,30,1,28,1,30,1,28,17,6,1,28,3,30,1,28,51,29,1,28,1,30,1,28,15,30,1,28,7,6,1,28,6,30,1,28,5,30,1,28,110,30,2,28,34,30,1,28,17,16,1,17,2,11,1,13,4,9,1,8,1,29,2,30,1,28,1,30,2,28,1,30,1,6,2,30,1,13,5,9,1,16,1,17,2,10,1,28,7,9,1,11,1,17,1,6,1,28,1,30,1,28,38,30,1,7,1,13,1,6,2,29,1,16,1,17,2,11,1,13,1,6,1,30,1,6,1,8,3,9,1,17,3,9,1,28,4,30,1,6,1,9,1,16,1,9,1,8,1,13,1,9,1,11,2,17,2,11,1,9,2,16,1,9,1,13,2,9,1,8,1,13,1,9,5,17,2,}, {28,3,6,2,29,1,28,2,9,1,7,1,8,1,9,2,13,1,8,1,17,2,11,1,10,1,8,2,13,1,6,2,17,3,10,1,12,1,17,3,14,1,16,1,24,1,9,1,8,1,10,1,14,1,9,1,7,3,8,1,6,1,8,1,15,2,12,1,11,1,8,2,6,1,7,1,13,1,30,1,24,1,10,1,17,2,12,1,11,1,9,1,12,1,15,1,17,1,13,1,29,1,30,1,29,2,30,2,28,1,30,1,29,2,6,1,30,1,6,1,30,3,29,1,28,1,7,1,28,1,30,1,6,1,28,1,29,1,28,1,6,1,29,2,8,1,9,1,14,1,9,1,14,1,17,1,11,1,16,1,9,4,11,2,12,1,17,1,12,2,11,1,12,2,9,3,24,1,16,1,12,1,16,1,17,5,14,1,8,1,6,1,9,1,8,1,9,1,13,2,6,1,30,1,6,1,13,1,7,1,9,1,8,1,13,2,30,2,29,3,28,3,30,1,29,1,28,19,7,1,8,1,13,1,9,1,13,1,7,1,16,2,11,2,6,1,28,4,30,2,9,1,17,3,16,1,17,1,9,1,11,2,16,1,11,1,9,3,12,1,9,1,13,3,8,2,9,3,12,1,17,1,11,1,17,1,11,1,10,1,16,1,17,1,13,1,28,18,30,1,6,1,30,4,13,1,7,1,6,1,30,1,6,1,30,2,6,1,30,5,13,2,6,1,7,1,6,1,30,1,13,1,6,1,13,1,8,1,13,6,30,1,7,1,6,2,28,1,30,1,13,3,6,1,29,1,30,1,6,1,28,6,30,1,28,32,30,1,28,3,30,1,28,5,30,1,13,1,30,1,6,1,13,1,6,2,7,1,28,1,6,1,30,1,28,1,6,1,28,1,30,2,6,3,30,1,13,1,30,1,13,4,30,4,29,1,6,2,30,3,6,1,30,4,6,1,30,1,29,1,6,1,30,1,6,3,30,2,28,1,30,1,28,1,29,1,28,2,30,2,28,2,30,2,28,1,30,2,28,1,30,9,6,2,28,1,30,2,28,2,30,1,28,14,29,1,28,1,29,2,6,2,13,1,8,1,6,2,29,2,28,1,6,1,29,2,6,2,7,1,29,2,7,1,6,2,29,1,7,1,6,1,13,1,6,2,30,2,13,2,6,1,13,3,9,3,13,2,30,1,13,1,28,1,13,2,9,1,13,1,9,1,11,1,9,1,13,3,33,1,5,1438,13,1,28,8,30,1,8,2,9,2,11,1,17,5,13,1,30,6,28,3,30,1,28,22,6,1,28,18,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,2,30,1,28,2,30,1,28,5,6,2,28,58,30,1,28,3,30,1,28,43,30,1,28,76,30,2,28,32,30,1,28,18,16,1,17,1,16,1,9,1,7,1,30,1,6,1,13,1,7,2,6,1,28,4,29,1,28,1,29,1,28,1,6,2,30,1,8,2,6,1,13,1,9,1,11,1,17,2,16,1,28,6,30,1,9,3,29,2,28,39,29,1,9,1,6,2,30,1,13,1,17,2,11,1,17,1,13,1,30,1,13,1,29,1,8,1,9,2,10,1,17,3,9,1,28,5,13,1,16,3,9,1,17,1,10,1,11,2,9,5,13,2,7,1,13,1,8,1,6,1,13,2,8,2,9,1,16,3,}, {28,1,30,1,28,2,30,1,6,1,29,1,8,1,13,1,7,1,8,1,13,1,9,2,12,1,17,1,16,1,9,1,13,1,9,1,13,1,6,1,13,1,8,1,10,1,17,3,16,1,17,1,16,2,14,2,12,1,13,2,8,1,15,1,10,1,6,3,29,1,7,1,13,1,14,2,17,1,9,1,13,3,9,1,13,1,24,1,6,1,11,1,17,2,12,1,9,1,12,1,14,1,17,1,9,1,6,1,29,1,30,1,6,2,29,1,30,1,28,2,6,1,29,1,30,2,6,1,28,1,6,1,28,1,30,2,28,1,30,2,6,1,7,1,6,1,30,1,29,1,28,1,6,1,24,1,8,1,15,1,10,1,15,1,17,1,10,1,13,2,8,1,9,1,8,1,16,1,8,1,11,1,17,3,16,1,11,1,10,1,9,1,8,1,13,1,8,1,13,1,9,1,12,1,11,1,17,4,16,1,8,1,13,1,9,1,13,1,8,1,9,1,16,1,13,1,6,1,30,2,29,1,13,2,6,1,13,1,28,1,7,1,29,1,30,1,28,6,30,2,29,1,28,14,30,1,7,2,10,1,9,1,11,1,9,1,11,2,17,1,16,1,9,1,13,1,6,1,28,1,29,1,30,1,28,1,30,1,8,1,17,2,16,1,17,1,10,1,9,1,11,1,16,1,11,1,9,3,13,1,8,1,9,1,13,3,8,1,9,3,10,1,12,1,17,1,9,2,11,2,16,1,17,1,13,1,28,18,30,3,6,1,30,1,13,2,9,3,8,1,13,1,7,1,13,1,9,2,13,2,6,1,13,2,6,1,13,1,28,1,30,1,6,1,30,1,7,1,30,1,6,1,13,2,6,2,30,1,28,1,30,1,28,20,30,1,28,15,30,1,28,1,30,1,28,2,30,2,6,1,30,2,28,1,30,1,6,1,30,2,29,1,30,1,28,1,30,1,28,1,6,2,7,1,28,1,6,2,30,1,7,1,28,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,13,2,30,1,7,1,6,1,13,1,6,1,30,1,13,2,6,1,13,1,29,2,6,1,30,3,28,1,30,4,28,2,6,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,30,6,6,2,30,1,6,1,28,3,30,2,28,4,30,1,28,1,30,2,6,1,30,1,6,1,28,9,30,1,28,8,30,1,28,3,30,2,29,1,28,1,29,1,7,1,13,1,29,1,6,1,13,1,9,1,8,1,6,1,9,5,10,2,9,1,10,1,16,1,17,1,9,1,8,1,13,1,9,2,5,7,33,1,5,8,33,1,5,1449,6,1,30,3,28,3,6,1,13,1,9,1,11,1,9,1,13,2,8,1,13,1,28,2,30,1,28,30,6,1,28,31,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,6,2,30,1,6,1,28,3,30,1,28,52,30,1,28,1,30,1,28,18,30,1,28,2,30,1,28,12,30,1,28,11,6,1,28,76,30,2,28,32,30,1,28,17,17,2,9,1,8,2,13,2,6,1,13,1,10,1,7,1,28,3,29,1,28,2,29,1,30,1,28,1,6,1,13,1,6,1,13,1,9,1,8,1,9,1,10,1,17,2,9,1,28,6,30,1,8,1,11,1,13,1,30,1,28,1,30,1,28,38,7,1,9,1,13,1,29,1,28,1,30,1,16,1,17,2,9,1,13,1,30,2,6,1,8,1,30,1,8,1,11,1,16,1,17,2,9,1,28,5,13,1,16,2,11,2,17,1,12,1,10,1,9,3,13,2,9,1,13,4,9,1,29,1,9,1,13,1,11,2,16,1,17,1,16,1,17,1,}, {28,3,30,2,28,1,6,1,30,1,7,1,6,1,13,1,24,1,11,2,16,1,9,1,17,1,8,2,9,1,8,2,6,1,30,1,13,1,17,5,16,2,17,1,14,1,9,1,24,1,13,1,24,1,9,1,11,1,8,1,6,2,7,1,30,1,13,1,17,2,16,2,8,1,6,1,13,1,24,1,13,1,9,2,17,3,12,1,8,1,13,1,8,1,14,1,8,2,13,1,29,1,28,1,30,1,28,2,29,1,28,3,30,1,28,1,6,2,30,2,29,2,13,1,6,2,30,2,28,1,6,1,29,1,30,1,6,1,13,1,8,1,12,1,10,1,15,1,17,1,9,1,24,1,13,2,8,1,13,1,10,1,9,2,17,1,16,1,17,1,10,1,17,1,11,1,9,2,8,1,13,1,9,2,11,1,9,1,10,1,17,3,10,1,8,1,7,1,8,3,7,1,9,1,8,1,12,1,9,1,13,1,28,3,30,1,7,1,8,1,6,1,28,10,30,2,28,3,30,1,7,1,30,1,6,1,13,1,8,2,11,1,17,11,11,1,17,2,9,1,29,1,30,2,6,1,28,1,6,1,8,1,17,3,11,1,9,3,17,1,9,1,17,1,9,1,13,1,8,1,13,3,6,1,13,2,9,1,10,1,11,1,12,1,9,1,8,1,9,2,10,1,16,1,17,2,10,1,28,61,30,1,29,1,6,1,30,2,6,1,30,1,28,1,30,2,6,1,30,2,6,1,28,1,6,1,30,1,28,1,6,3,30,1,6,1,30,3,6,1,30,1,6,2,30,1,6,1,30,2,6,1,30,1,28,1,7,1,30,3,28,1,30,2,28,1,6,1,28,1,6,3,29,1,6,1,28,1,13,1,7,1,13,1,6,3,30,1,6,2,30,1,6,1,30,2,7,1,6,2,30,2,6,1,30,3,13,1,30,1,6,2,30,1,6,1,30,1,28,1,30,5,28,1,30,1,28,2,30,2,6,1,30,1,6,2,13,1,6,2,30,4,6,1,13,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,6,3,30,6,28,1,6,1,28,1,13,1,6,1,30,1,6,1,30,2,6,1,13,1,9,1,16,1,11,1,9,1,13,4,9,1,13,2,9,1,11,1,16,1,9,3,16,1,11,1,9,1,13,1,8,1,16,1,11,1,9,7,13,1,9,1,13,5,33,1,5,1469,33,3,13,1,6,3,30,1,13,2,9,2,13,2,30,1,13,2,33,1,13,4,6,1,13,1,6,2,13,1,6,1,13,9,6,1,13,9,33,2,13,3,28,34,30,1,28,3,30,1,28,3,6,2,28,4,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,35,30,1,28,4,30,1,28,11,30,1,28,5,30,1,28,4,30,1,28,1,30,1,28,7,6,1,30,1,28,9,7,1,28,78,30,1,28,2,30,1,28,2,30,1,28,43,17,2,16,1,8,1,13,2,6,1,7,1,13,2,6,1,28,6,29,1,6,1,30,2,6,1,29,1,8,1,9,1,8,2,11,1,17,3,28,6,30,1,9,1,11,1,6,2,28,1,29,1,28,38,9,1,8,1,6,1,7,1,28,1,6,1,16,1,17,2,11,1,30,3,28,1,13,3,16,1,17,3,9,1,30,1,7,1,6,1,30,1,7,1,10,1,17,1,11,1,17,1,11,3,8,1,11,1,8,1,13,1,8,2,13,3,7,1,13,1,8,1,9,1,13,1,11,1,17,2,16,1,17,2,16,1,}, {28,4,30,1,6,1,28,1,30,1,13,2,7,1,8,1,24,2,9,1,10,1,17,1,9,1,24,1,8,1,7,2,29,1,7,1,8,1,17,3,10,1,15,1,12,3,17,1,15,1,13,1,29,1,24,1,15,1,24,1,7,1,13,1,29,2,30,2,8,1,10,1,17,1,11,1,13,1,7,1,13,1,9,1,24,1,9,1,8,1,17,4,11,1,13,1,15,1,11,1,8,1,24,1,30,1,6,2,30,1,29,1,28,1,6,1,30,3,6,1,28,3,29,1,28,1,29,1,30,2,28,1,30,5,28,1,6,1,29,1,13,2,8,1,15,2,17,1,12,1,9,1,13,1,7,1,9,1,8,1,9,1,8,2,12,1,17,3,9,1,16,1,8,2,13,1,8,2,24,1,9,1,13,1,10,1,12,1,17,2,14,1,13,1,30,1,29,2,6,1,30,1,13,1,7,1,8,1,9,1,13,1,6,1,28,2,6,1,13,1,9,1,13,2,30,1,28,4,7,1,8,1,11,1,12,1,11,3,16,1,17,1,11,1,17,19,11,1,17,1,9,1,6,1,28,2,6,1,28,1,13,2,17,5,11,1,10,1,16,1,9,3,11,2,10,1,9,1,8,1,9,2,13,2,10,2,12,2,11,1,8,1,9,1,11,1,17,3,16,1,28,29,30,1,28,3,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,6,1,28,2,30,1,6,2,30,3,6,1,28,1,6,1,30,1,6,2,30,1,13,1,30,2,6,2,30,1,6,1,30,1,28,1,30,1,6,2,30,1,6,1,30,1,6,2,30,2,29,2,6,1,13,1,6,1,30,1,6,2,13,1,6,3,30,1,6,1,7,1,30,1,6,2,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,4,7,1,30,2,29,1,30,1,6,1,29,1,6,1,30,1,6,2,29,1,6,3,30,1,13,1,6,3,7,1,6,1,30,3,6,1,30,1,6,1,30,2,28,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,30,2,28,3,30,1,28,2,30,2,28,2,30,1,6,3,13,1,30,1,28,1,6,2,30,1,13,2,5,47,16,2,17,1,16,8,17,1,5,1,16,1,5,1487,16,1,5,52,13,1,6,1,28,38,30,2,28,1,30,1,28,5,30,1,28,3,30,1,28,6,30,1,28,5,30,3,28,49,6,1,28,2,30,1,28,3,30,1,28,3,30,2,28,11,6,1,28,78,30,1,28,2,30,1,28,27,30,1,28,18,17,2,16,1,8,1,13,1,6,1,8,1,6,1,13,2,28,5,29,2,28,1,30,1,6,1,30,1,28,1,13,2,9,1,8,1,9,1,10,1,17,2,8,1,28,6,29,1,9,1,12,1,8,1,29,1,28,1,30,1,28,38,13,3,29,1,6,1,29,1,17,3,9,1,6,1,28,1,30,1,6,1,13,1,6,1,13,1,11,1,17,3,11,1,10,1,11,1,9,1,8,1,17,1,16,1,17,1,16,1,11,2,10,1,8,1,13,1,10,1,8,1,9,1,8,3,13,3,9,1,8,2,11,1,17,2,16,1,17,2,16,1,11,1,}, {28,1,29,1,30,4,6,1,30,1,7,1,13,1,8,1,24,2,9,1,8,1,17,1,9,1,8,3,13,3,6,1,13,1,17,4,9,1,24,1,11,1,16,1,9,1,11,1,13,2,24,1,11,1,8,1,7,1,9,1,29,1,30,2,29,1,13,1,15,1,9,2,13,1,6,1,13,2,8,1,9,1,12,1,16,1,17,3,8,1,9,1,12,1,9,1,11,1,8,1,6,1,30,1,28,2,30,1,6,1,30,1,7,1,28,2,6,1,28,1,9,1,7,1,28,2,29,3,30,2,28,4,6,1,29,1,6,1,13,1,8,1,12,1,9,1,10,1,17,1,12,1,8,1,13,1,8,1,6,1,10,1,9,1,13,1,24,1,11,1,17,1,12,1,17,1,12,1,8,1,9,1,13,2,8,1,13,1,9,1,12,1,9,1,10,1,11,1,17,1,14,1,16,1,9,1,29,1,30,1,28,1,29,1,30,2,6,1,13,1,6,1,13,1,7,1,29,1,6,1,13,1,8,2,13,1,6,1,7,1,13,1,7,1,30,1,28,1,30,1,9,1,11,2,17,2,16,1,11,1,17,2,11,1,17,20,8,1,6,1,29,1,6,1,29,1,6,1,30,1,9,1,17,6,11,2,10,1,11,2,12,1,9,2,8,1,9,1,7,1,13,2,9,1,8,1,13,1,9,2,8,2,10,1,17,5,28,18,30,2,28,1,30,2,29,1,30,1,6,1,28,1,30,1,28,3,29,2,30,1,6,1,30,1,6,1,29,1,13,1,6,1,30,1,29,1,30,2,29,1,6,2,29,1,30,1,6,1,30,1,6,1,7,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,6,1,30,1,6,7,13,3,6,1,13,1,6,1,13,4,7,1,6,1,7,1,6,8,13,1,6,2,28,1,6,2,30,2,6,2,30,1,6,1,30,1,28,1,30,3,6,2,13,1,30,1,6,1,28,1,30,3,6,2,30,1,6,1,30,2,6,2,30,8,6,1,30,1,6,1,30,1,6,1,30,2,29,1,6,1,28,1,30,2,28,6,30,1,28,1,30,3,28,1,30,1,9,1,13,2,33,1,5,2,33,1,5,1613,6,1,13,2,6,1,13,2,6,1,28,22,30,1,28,10,30,1,28,7,30,1,28,9,6,1,30,1,28,6,30,2,28,20,30,1,28,28,30,1,28,18,30,1,6,1,28,2,30,1,28,124,30,1,17,2,9,2,13,1,8,2,6,1,30,1,28,1,29,1,28,5,29,1,28,2,30,1,28,1,30,1,8,1,13,2,9,1,8,1,17,3,9,1,28,6,30,1,11,1,9,1,13,1,28,41,13,1,8,1,13,1,30,1,6,1,13,1,17,3,11,1,30,1,28,1,30,1,28,1,7,1,6,1,9,2,17,6,16,1,17,2,11,1,16,1,11,1,10,2,13,3,30,2,6,1,13,1,9,1,13,4,9,1,16,1,10,1,16,2,17,1,11,2,9,3,}, {28,2,30,2,28,1,6,1,29,2,6,1,7,1,30,1,29,1,10,1,11,1,9,1,16,1,17,1,10,1,8,1,6,1,8,1,6,1,7,1,6,1,8,1,11,1,17,1,16,1,10,1,9,1,8,1,24,1,10,1,17,1,10,1,8,2,9,1,10,1,9,1,13,1,6,1,8,1,30,2,6,1,13,1,10,1,12,1,11,1,8,1,6,1,13,3,8,1,11,1,17,3,16,1,12,1,9,2,12,1,9,1,13,1,6,1,30,1,29,1,28,1,29,1,6,1,28,1,7,1,6,1,28,5,30,1,28,1,30,1,29,1,28,1,6,1,30,1,29,1,6,2,28,1,30,3,29,1,13,1,8,1,24,1,17,1,15,1,12,1,9,1,13,2,8,1,7,1,13,1,8,1,12,1,17,3,9,1,13,2,9,1,13,1,24,1,8,2,12,1,9,1,11,1,9,1,17,2,14,1,16,1,13,1,6,1,30,1,28,1,30,3,13,1,30,1,29,1,6,2,30,1,28,1,6,2,29,1,30,1,13,1,7,1,28,2,6,1,28,3,30,1,13,1,17,2,16,1,11,1,16,2,17,21,11,1,13,1,6,2,30,2,13,2,17,6,11,1,16,1,10,1,11,3,9,1,10,1,9,1,8,1,10,1,13,2,11,1,9,2,10,1,9,1,11,1,8,1,9,1,16,2,17,2,16,1,28,18,6,2,30,3,6,1,30,3,28,2,30,1,28,1,30,1,6,2,30,1,6,1,30,1,6,2,30,1,6,1,28,1,29,1,6,2,13,1,6,1,30,1,6,4,30,1,6,1,30,1,6,3,30,3,7,1,6,1,30,1,6,1,30,1,6,1,30,1,7,2,13,1,6,3,30,1,6,4,29,1,6,3,13,1,30,2,13,1,6,4,28,2,30,2,28,3,29,1,28,1,7,1,6,1,28,1,30,4,7,1,6,2,30,4,6,1,30,2,6,1,13,2,30,2,6,1,13,1,30,1,13,1,6,1,30,1,6,2,13,1,6,1,13,1,30,1,6,1,13,2,6,1,13,7,9,2,11,1,16,1,9,1,5,1,13,1,9,7,5,1627,13,1,6,1,28,34,30,1,28,2,30,1,28,9,30,2,28,1,30,1,28,1,30,1,28,12,30,1,28,1,30,1,28,9,30,1,6,1,28,3,30,1,28,39,30,1,28,1,30,1,28,2,6,1,30,1,28,126,6,1,17,2,8,1,13,3,6,1,30,2,13,1,30,1,28,2,30,1,28,2,30,1,28,3,29,1,30,1,29,1,13,1,8,2,11,1,17,3,6,1,28,6,13,1,9,2,13,1,28,1,30,1,28,39,9,1,8,1,13,2,6,1,8,1,17,3,11,1,6,1,28,1,30,1,29,1,9,1,13,1,6,1,11,1,16,1,17,6,11,2,17,1,11,2,10,1,9,2,13,2,8,1,11,1,13,1,8,4,6,1,13,1,11,2,9,1,17,1,16,1,11,1,9,2,10,1,11,2,}, {30,1,28,2,6,1,13,1,6,2,8,1,7,1,6,1,8,1,24,1,8,1,9,1,8,1,17,1,15,1,9,1,7,1,29,1,13,1,7,1,6,3,10,1,17,1,11,1,8,1,13,1,24,1,9,1,12,2,10,2,8,1,13,1,15,1,17,1,6,1,7,1,29,1,6,1,30,2,29,1,8,2,9,1,8,1,6,3,13,1,8,1,9,1,17,4,9,1,10,1,9,1,17,1,15,1,9,1,6,1,29,1,30,2,28,1,30,2,28,2,30,1,28,2,30,1,28,1,29,1,30,2,6,1,30,2,6,1,29,1,28,1,30,1,6,1,28,2,6,2,8,1,13,1,10,1,17,1,12,1,15,1,8,2,7,1,6,1,7,1,8,2,10,1,12,2,17,2,9,1,24,2,13,2,9,1,13,1,10,1,9,1,17,1,9,1,17,1,16,2,15,1,9,1,28,2,30,1,28,3,6,1,30,1,29,2,28,6,30,1,16,1,9,1,6,1,28,1,30,2,28,1,30,1,28,2,30,1,13,1,11,2,17,1,11,1,16,1,17,20,9,1,13,1,30,1,6,2,13,1,28,1,9,1,17,5,10,1,8,1,16,1,9,1,11,3,9,2,10,1,7,1,9,1,13,1,8,2,13,1,9,1,13,1,9,4,17,4,16,1,6,1,28,17,6,1,30,1,6,3,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,3,28,1,30,2,6,3,13,3,6,3,7,1,6,1,30,4,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,30,7,29,1,6,3,30,1,6,1,30,2,6,2,30,1,13,1,6,3,30,2,6,1,30,2,6,1,28,1,30,1,29,1,30,1,6,1,30,2,28,4,30,1,28,1,30,1,6,1,30,1,6,2,30,1,6,2,30,1,6,1,13,1,9,1,11,1,16,1,9,1,13,1,9,1,13,3,9,1,13,3,33,1,5,1,33,1,5,1663,28,40,30,1,28,5,30,1,28,2,30,1,28,7,30,1,28,7,6,1,30,1,28,1,30,4,28,4,30,2,28,1,30,1,28,73,30,1,28,93,13,1,17,2,9,1,13,3,6,1,13,3,28,12,30,1,13,2,6,1,11,1,17,3,8,1,28,6,13,1,17,1,8,1,6,1,28,41,13,1,11,1,9,1,6,1,13,2,17,3,8,1,6,2,28,1,6,1,13,2,6,1,10,1,17,6,16,2,11,1,12,1,16,1,13,1,9,1,8,1,13,1,6,1,13,4,9,1,13,2,9,1,8,1,10,1,11,1,16,3,10,1,8,1,13,1,11,1,16,1,17,1,16,1,}, {28,2,6,4,13,1,6,3,7,1,13,1,8,1,10,1,9,1,8,1,14,1,10,1,29,1,6,1,29,1,30,1,6,1,28,1,6,1,12,1,17,1,11,2,9,2,13,1,8,1,11,2,8,1,13,1,8,1,14,1,12,1,24,1,29,1,30,1,28,1,29,1,13,2,9,2,8,2,13,1,6,1,29,1,13,1,8,1,11,1,17,3,16,1,9,1,8,1,11,1,12,1,15,1,13,1,7,1,30,1,28,1,6,1,30,2,28,1,29,2,30,5,28,4,30,2,28,3,29,1,28,4,29,1,13,1,29,1,24,1,15,1,17,2,9,1,8,2,13,1,8,3,9,3,17,1,10,1,8,1,7,1,8,1,7,1,9,1,13,1,24,1,9,1,11,1,16,1,17,2,12,1,17,2,7,1,29,1,28,1,29,1,30,1,28,1,29,1,28,1,30,1,28,9,5,3,33,1,30,1,28,8,9,3,11,1,16,1,17,19,8,1,6,2,13,1,30,1,13,1,30,1,9,1,17,5,12,1,10,1,12,1,11,1,16,1,11,1,9,2,10,1,9,3,13,1,8,1,9,1,13,2,9,2,13,1,11,2,17,1,16,2,11,1,16,1,30,1,28,17,6,1,30,5,6,1,30,1,6,3,28,2,30,2,6,1,28,1,30,1,6,2,30,1,6,1,30,4,29,1,13,2,6,2,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,8,6,1,28,3,30,7,6,1,28,2,6,2,28,1,6,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,6,1,30,1,6,1,13,2,9,1,5,1696,13,3,6,2,28,51,30,1,28,9,30,1,6,1,30,2,28,7,6,1,28,4,6,1,28,5,30,1,28,41,30,1,28,5,13,2,6,1,28,4,30,3,28,5,30,1,28,10,30,1,28,27,30,1,28,52,13,1,17,1,10,1,9,1,8,1,13,2,6,3,13,1,28,5,29,1,28,1,30,2,28,2,30,1,6,1,8,3,11,1,16,1,17,2,6,1,28,6,13,1,16,1,9,1,8,1,28,41,9,2,8,1,13,3,17,3,9,1,6,2,13,1,7,1,13,2,8,1,13,1,17,4,16,3,11,1,16,1,10,1,11,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,13,1,16,2,17,1,10,1,16,1,11,1,9,1,11,2,10,1,9,3,}, {29,1,28,1,29,1,6,2,29,2,6,1,8,3,7,1,9,1,13,1,24,1,12,1,15,1,8,1,13,1,6,1,29,1,30,1,29,1,30,1,6,1,17,3,11,1,8,1,9,1,13,1,8,1,13,1,8,2,13,2,14,1,15,1,10,1,7,2,6,1,29,2,6,1,10,1,15,1,9,1,24,1,13,1,6,2,13,1,9,1,8,1,12,1,17,3,11,1,9,1,11,1,12,1,17,1,8,1,13,1,29,1,6,1,29,1,30,1,29,1,6,1,28,2,30,1,28,2,30,1,28,3,29,1,13,1,30,1,7,1,28,1,6,1,30,1,28,2,29,2,28,1,30,1,8,2,9,1,17,3,9,1,13,2,6,2,13,1,30,1,9,1,10,1,9,1,17,1,9,2,8,2,6,1,9,1,13,2,12,1,9,1,17,1,11,1,17,1,16,1,11,1,16,1,8,1,13,1,28,1,30,1,28,2,29,1,28,1,30,1,28,7,30,1,28,1,5,5,33,1,13,1,28,7,30,1,11,2,17,4,16,1,17,16,9,1,13,5,9,1,17,7,16,1,11,3,9,1,10,1,9,1,8,2,6,1,13,2,9,1,8,2,11,1,9,1,8,1,9,1,10,1,11,1,9,3,17,1,28,18,30,3,6,3,30,1,6,1,30,2,28,1,30,4,6,1,28,2,30,2,28,1,30,2,6,2,30,5,6,1,30,2,6,1,28,1,30,1,28,1,30,4,28,1,30,2,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,13,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,13,2,6,1,13,2,6,1,9,2,13,5,33,2,5,1709,6,2,13,3,6,3,13,2,6,1,13,6,6,1,13,3,28,32,30,1,28,7,30,1,28,5,30,1,28,2,30,1,28,6,30,1,28,5,30,1,28,1,30,1,28,53,30,1,28,12,30,1,28,23,30,1,28,2,30,1,28,32,30,1,28,22,13,1,17,2,13,1,8,1,13,1,8,1,6,2,7,1,30,1,28,5,30,1,28,5,30,1,13,4,11,1,17,3,28,7,13,1,17,1,11,1,13,1,28,41,9,2,13,3,17,4,11,1,6,4,13,3,11,1,16,1,17,3,16,1,17,1,16,2,11,1,16,1,9,2,8,1,9,1,10,1,13,1,9,1,13,2,9,1,11,1,8,1,10,1,11,1,16,1,10,1,16,1,11,1,9,1,10,1,11,1,10,1,13,1,8,1,11,2,16,1,}, {28,1,30,1,28,2,13,1,7,1,30,1,29,1,7,1,8,1,13,2,9,1,8,1,6,1,24,1,14,1,15,1,7,1,29,1,7,1,28,1,30,1,29,1,30,1,16,1,17,2,12,1,24,1,8,1,13,2,8,1,24,1,13,2,8,1,15,1,10,1,9,1,7,1,29,1,30,1,6,1,28,1,6,1,9,1,10,1,8,1,9,1,8,1,13,1,29,1,6,1,8,1,9,1,16,1,17,2,11,1,9,1,24,1,7,1,9,3,29,1,30,2,28,1,6,1,7,1,30,2,6,1,30,1,28,1,29,1,30,1,28,5,30,1,28,3,6,1,30,1,28,1,6,1,30,2,6,1,13,1,8,1,13,1,12,1,17,2,12,1,6,1,7,1,13,1,30,1,13,1,6,1,8,1,24,1,17,2,9,1,24,1,11,1,9,1,6,1,13,1,7,1,13,1,11,2,12,1,16,1,17,1,16,1,12,1,9,2,28,2,30,1,28,1,30,2,28,2,30,1,29,1,28,5,30,1,28,1,5,8,13,1,28,8,13,1,10,1,16,1,17,22,11,1,9,1,11,1,17,7,16,2,17,1,9,2,11,1,8,1,9,1,8,3,13,1,9,1,8,1,10,1,9,1,17,1,10,1,9,1,16,1,17,1,11,1,16,1,17,2,30,1,28,18,30,1,6,2,9,1,5,1813,13,3,28,29,6,1,28,19,30,1,28,1,30,1,28,12,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,5,30,1,28,54,30,1,28,8,30,1,28,1,30,2,28,14,30,3,28,2,29,1,28,2,30,1,28,4,30,1,28,4,30,1,28,7,6,1,28,17,7,1,17,2,9,1,13,2,6,1,13,1,6,2,30,1,28,3,30,1,28,4,29,1,28,2,30,1,13,2,9,1,13,1,9,1,17,3,28,7,8,1,16,1,13,1,6,1,29,1,28,39,30,1,9,2,13,3,12,1,17,3,9,1,6,2,13,2,6,1,13,2,11,1,17,4,16,3,11,2,9,1,8,1,12,1,9,2,13,1,8,2,10,1,9,1,10,1,12,1,16,1,17,1,9,2,11,1,9,3,11,2,9,2,11,3,10,1,}, {28,1,7,1,28,2,13,1,8,1,29,1,8,1,6,1,8,1,7,1,8,1,7,1,9,1,8,1,15,1,14,1,9,1,13,1,6,5,29,1,9,1,17,2,9,1,13,1,24,1,13,1,24,1,13,1,9,1,6,2,29,1,9,1,24,1,13,1,24,1,6,1,29,3,13,1,24,1,11,1,8,1,10,1,8,1,7,1,8,1,9,1,8,2,16,1,17,3,8,2,9,4,13,1,29,2,28,1,29,1,30,1,28,1,29,2,28,1,30,4,28,2,30,1,6,1,28,3,30,1,29,2,6,1,30,3,28,1,8,3,17,2,9,1,12,1,8,1,29,1,6,1,30,1,6,1,13,1,8,1,9,1,17,1,12,2,10,1,16,1,24,1,13,1,6,1,13,1,10,1,17,1,11,1,9,1,8,1,9,1,17,1,16,1,17,1,9,1,30,1,28,8,30,1,28,7,5,10,6,1,28,7,6,2,11,1,16,2,17,29,11,1,17,1,16,1,17,1,11,1,10,1,11,1,9,2,13,1,9,1,6,1,8,1,13,1,9,1,12,1,16,1,11,1,12,1,9,1,17,1,11,1,17,2,14,1,13,1,28,18,13,1,5,1821,16,1,33,1,28,25,30,1,28,32,30,1,28,5,30,2,28,5,30,2,6,2,28,2,30,1,28,3,30,1,28,1,30,1,28,55,30,3,28,13,30,1,28,2,30,1,28,11,30,1,28,6,30,1,28,22,8,1,17,1,16,1,8,2,13,1,6,1,13,1,6,2,28,3,30,1,28,3,30,1,28,2,30,3,29,1,8,1,9,1,13,1,16,1,17,2,16,1,28,6,6,1,13,1,9,2,29,1,28,40,30,1,9,1,16,1,7,1,13,2,11,1,17,3,10,1,6,2,13,3,8,1,13,1,16,1,17,4,16,2,11,3,9,2,10,1,9,3,8,1,12,1,9,1,17,2,11,1,16,1,17,1,10,1,8,1,11,1,9,1,10,1,11,1,9,1,10,1,11,1,16,1,11,1,16,2,17,1,}, {28,3,30,1,13,2,6,1,8,1,6,2,8,1,13,1,8,1,13,1,24,1,8,1,12,1,10,1,13,1,29,1,30,3,6,1,30,1,9,1,17,2,9,1,13,1,8,1,7,1,8,1,13,2,6,2,29,1,14,1,9,1,8,1,13,1,30,1,6,1,30,2,13,1,11,1,9,1,10,1,9,1,8,1,24,1,9,1,13,1,9,2,11,1,17,3,12,1,24,1,13,1,10,1,8,2,29,2,30,1,29,1,28,1,29,1,7,1,28,2,30,1,7,1,28,2,29,1,28,3,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,1,29,1,28,1,6,2,8,1,9,1,11,1,9,1,17,1,9,1,7,1,13,1,30,1,6,1,8,1,30,1,6,1,24,1,12,2,16,2,17,1,12,1,9,1,24,1,17,1,10,1,8,1,16,1,9,3,17,2,11,1,8,1,30,2,28,2,30,1,28,2,6,1,30,1,28,8,5,12,13,1,28,4,30,1,28,2,30,1,13,1,9,1,17,31,11,1,17,1,16,1,11,2,16,1,9,2,8,1,9,1,10,1,9,1,11,1,10,1,11,2,8,1,11,1,16,2,17,3,30,1,28,17,5,1826,13,1,33,1,6,1,13,10,6,1,13,4,28,4,30,2,28,27,30,1,28,2,30,1,28,6,30,1,28,9,30,1,13,1,6,1,28,5,30,1,28,1,30,1,28,3,6,1,30,1,28,50,30,1,6,1,30,1,28,17,30,1,28,2,30,2,28,13,30,1,28,1,30,1,28,21,11,1,17,2,10,1,13,2,6,1,30,2,29,1,30,1,28,5,30,1,28,3,30,2,28,1,6,1,9,1,8,1,10,1,16,1,11,1,17,1,11,1,28,7,8,1,9,1,29,1,6,1,30,1,28,2,30,1,28,36,30,1,9,1,16,1,13,1,7,1,6,1,17,3,11,1,13,2,6,2,9,1,8,2,9,1,16,1,17,4,9,1,8,1,11,1,9,3,8,1,13,1,9,2,8,1,9,1,17,5,9,1,13,1,9,1,13,1,11,3,9,1,10,1,11,2,16,1,11,2,9,2,}, {28,1,30,2,28,1,7,1,30,1,24,1,7,1,29,1,13,1,6,1,8,1,7,1,24,1,13,1,24,1,16,1,14,1,13,2,6,3,30,1,6,1,8,1,17,2,9,1,8,1,13,2,8,3,6,1,7,2,13,1,9,1,13,1,6,2,30,2,28,1,6,1,24,1,17,3,12,1,24,1,8,2,9,1,8,1,16,1,17,3,16,1,9,1,8,1,10,1,14,1,24,1,6,2,28,1,6,1,28,4,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,6,1,28,1,30,1,28,2,29,1,28,2,6,1,8,2,13,1,17,2,11,1,13,1,7,1,6,2,13,1,28,1,13,1,9,1,11,1,12,1,17,1,10,1,9,2,16,1,10,1,8,2,9,1,10,1,8,1,9,2,12,1,16,2,8,1,6,1,30,2,29,1,30,1,28,1,7,1,30,1,28,1,30,1,28,7,5,14,13,1,28,2,30,1,28,1,30,1,28,2,30,1,13,1,16,3,17,24,16,1,17,1,16,2,17,1,16,1,17,1,16,1,10,1,9,2,8,1,9,1,8,1,9,1,16,3,9,1,17,1,9,1,16,2,17,2,14,1,30,1,28,16,13,1,5,1853,13,1,28,25,30,1,28,8,30,1,28,10,6,1,28,4,30,1,28,5,30,1,28,14,6,1,30,2,28,52,30,2,28,3,30,1,28,1,30,2,28,36,16,1,17,1,16,1,8,2,6,2,30,1,7,2,6,1,28,2,30,1,28,2,30,1,28,3,30,2,28,1,6,1,8,1,13,1,9,1,16,1,17,2,9,1,28,6,30,1,12,1,9,1,8,1,7,1,28,1,30,1,28,39,10,1,9,1,13,1,8,1,13,1,11,1,17,2,11,1,8,1,6,1,13,3,8,1,13,1,9,1,17,1,16,1,17,2,16,2,11,1,8,1,11,1,9,2,8,1,9,2,11,1,17,1,11,1,17,1,11,1,10,1,11,1,17,1,13,1,9,2,11,2,9,1,11,2,16,1,9,1,17,1,16,1,17,1,13,2,6,1,}, {30,1,28,3,13,1,8,2,13,1,9,1,8,1,13,1,8,4,12,2,14,1,8,1,13,1,30,1,28,1,29,1,6,2,9,1,17,2,10,1,13,4,8,2,13,1,29,1,28,1,8,1,24,1,13,1,6,1,30,1,28,1,30,3,10,1,17,2,12,1,8,1,13,1,6,1,8,1,13,3,17,4,8,1,24,2,10,1,8,1,29,2,28,2,29,1,28,4,30,2,28,4,30,1,28,2,7,1,29,1,28,2,30,1,28,1,30,2,28,1,30,2,7,1,8,2,11,1,17,2,12,1,9,1,30,1,7,1,13,1,6,2,7,1,9,1,11,1,9,1,12,1,24,1,12,1,24,1,12,1,9,1,8,2,24,1,13,1,9,3,17,3,13,1,7,1,6,1,30,2,6,1,30,1,6,1,28,10,5,16,6,1,28,7,30,1,13,1,17,24,16,1,17,2,16,1,17,1,11,1,17,1,11,1,17,1,9,1,10,1,9,1,13,1,8,1,13,1,9,1,11,1,16,1,11,2,16,1,17,1,16,2,17,1,16,1,17,1,13,1,28,16,9,1,5,1855,13,7,30,1,28,16,30,2,28,4,30,1,28,4,30,1,28,7,30,2,28,23,30,1,28,3,30,2,28,59,30,1,28,3,30,1,28,14,30,1,28,17,17,2,9,2,8,1,13,4,6,1,28,5,30,1,28,3,6,1,30,2,6,2,13,1,9,1,11,1,16,1,17,2,11,1,28,7,17,1,16,1,8,1,6,1,28,41,9,2,8,1,13,2,17,3,9,1,6,1,13,5,8,1,11,1,17,4,10,1,9,1,10,1,9,4,10,1,11,1,16,1,11,1,16,1,17,1,11,2,9,5,11,2,10,1,16,1,11,2,17,2,11,1,9,1,13,1,30,3,}, {30,1,28,4,29,1,8,1,6,1,24,1,13,2,7,1,10,1,15,1,9,1,13,1,17,1,14,1,9,1,13,1,29,1,6,1,28,1,6,1,28,1,13,1,17,2,24,1,8,1,9,1,7,1,13,1,24,1,13,2,6,1,13,2,14,1,6,1,13,1,30,1,28,2,29,1,6,1,17,3,9,1,8,1,13,3,6,1,13,1,8,1,17,4,24,1,8,1,9,1,12,1,13,1,30,2,28,6,30,1,28,1,30,1,28,1,29,1,30,1,28,1,6,1,29,1,28,1,6,1,30,2,28,4,30,1,28,2,30,1,6,1,8,1,24,1,17,1,11,1,17,1,16,1,13,1,7,1,6,1,30,1,13,1,6,1,7,1,9,1,11,1,10,1,17,2,10,1,24,1,12,2,8,1,6,1,8,1,9,1,8,1,24,1,9,1,17,1,12,1,16,1,9,1,30,2,6,1,28,1,30,1,28,12,5,18,33,1,28,7,6,1,9,1,17,27,16,1,17,1,11,3,9,3,8,1,13,1,16,2,11,1,17,2,16,2,17,3,16,1,17,1,13,1,28,15,6,1,13,1,5,1495,13,5,33,1,9,1,13,1,28,9,30,1,28,2,30,1,28,1,30,1,28,1,13,2,9,2,13,4,9,1,13,1,9,1,13,2,9,3,13,1,5,1,9,3,5,2,33,1,5,322,13,1,28,13,30,1,28,2,30,2,6,1,28,1,30,1,28,39,29,1,30,1,6,1,30,2,28,4,6,1,30,1,28,27,30,1,28,32,30,1,28,2,30,1,6,1,28,2,30,1,28,3,30,1,28,16,16,1,17,1,11,1,9,1,8,1,13,1,8,1,6,1,13,1,6,1,30,2,28,2,30,1,28,1,30,3,29,1,28,1,29,1,13,2,9,3,11,1,17,2,8,1,28,6,30,1,9,1,10,1,8,1,30,1,28,40,7,1,9,2,13,3,16,1,17,1,11,1,9,1,13,5,8,1,9,1,16,1,11,4,9,1,11,2,8,1,11,1,9,1,11,3,16,1,17,2,16,1,9,1,10,1,9,2,13,1,8,1,9,1,11,3,16,1,17,1,11,1,16,1,13,1,9,1,7,1,6,1,28,3,}, {28,4,29,1,6,1,13,1,30,1,8,1,9,1,8,2,12,1,13,1,24,1,8,1,11,1,15,1,8,1,6,4,30,1,6,1,8,1,17,2,10,1,6,3,8,2,24,1,13,2,28,1,6,1,14,1,13,1,6,1,28,3,6,2,9,1,17,1,9,2,8,1,24,1,9,1,13,1,7,1,8,1,13,1,17,4,10,1,8,1,11,1,14,2,6,1,30,2,28,3,29,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,30,1,29,1,28,3,30,1,28,6,30,1,28,1,6,1,13,1,11,1,17,2,12,1,11,1,13,2,28,1,6,1,8,1,6,1,7,1,13,1,12,1,17,1,9,1,10,1,12,1,17,1,9,1,24,1,13,2,8,1,13,1,24,1,7,1,11,1,12,1,17,2,8,1,30,2,29,1,28,1,6,1,28,1,29,1,30,2,6,1,28,7,5,21,6,1,28,2,30,1,28,2,30,1,6,1,13,1,17,24,16,1,11,1,17,1,11,1,17,1,16,1,11,1,9,1,8,3,9,1,17,1,16,1,17,1,16,4,17,1,16,1,17,2,13,1,28,15,30,1,13,1,5,1481,33,5,5,1,6,1,28,6,30,1,28,4,6,1,28,2,30,1,6,3,30,1,6,1,28,1,6,1,29,1,6,1,28,1,29,1,6,2,13,1,7,1,13,3,7,1,13,2,6,2,28,1,6,1,30,1,6,1,30,1,28,1,6,2,13,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,13,1,9,1,13,4,9,1,13,4,9,1,13,1,9,1,13,7,6,1,13,1,6,1,13,3,6,1,9,6,5,1,9,1,5,7,33,1,5,1,13,1,33,1,5,1,33,1,5,2,33,1,5,274,33,1,13,5,28,13,30,1,28,11,30,1,28,29,30,1,28,4,6,1,7,1,30,3,28,24,30,1,28,44,30,1,28,16,11,1,17,1,9,3,13,1,9,1,7,1,13,1,6,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,13,1,6,1,13,1,6,2,9,3,17,3,9,1,28,6,6,1,9,3,6,1,28,40,13,1,16,1,9,1,8,1,30,1,13,1,11,1,17,2,8,1,13,1,7,2,9,1,6,1,8,1,10,1,16,4,11,1,9,3,11,2,9,1,11,1,16,3,17,2,16,1,9,2,11,1,9,3,8,1,11,1,10,1,17,1,11,1,17,1,16,1,11,1,9,1,6,1,7,1,6,1,28,3,}, {28,3,29,4,6,1,24,1,6,1,10,1,8,1,24,1,9,1,24,1,10,1,16,1,17,1,24,1,9,1,7,1,13,2,7,1,13,2,17,1,16,1,9,1,8,1,29,1,24,1,8,1,13,1,9,1,24,1,8,1,13,1,24,1,14,1,13,1,7,2,29,2,6,1,7,1,10,1,16,1,9,4,8,1,13,4,17,4,24,1,9,2,15,1,10,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,28,2,30,1,28,2,24,1,13,1,6,1,30,1,28,1,30,1,28,8,29,1,6,1,11,1,17,2,10,1,17,1,16,1,8,1,7,1,6,3,13,1,7,1,24,1,9,1,17,1,15,1,17,1,12,1,17,1,8,8,11,1,9,1,17,2,9,1,13,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,4,30,1,6,1,28,1,5,23,30,2,28,2,30,1,28,1,30,1,28,1,13,1,16,1,17,21,16,1,17,1,16,1,11,1,9,1,11,1,9,1,8,1,7,1,9,1,8,2,11,1,16,3,17,1,11,1,17,1,16,1,11,1,17,2,6,1,28,16,6,1,5,1477,33,1,13,1,6,1,28,1,6,1,28,1,13,1,6,2,30,1,7,1,13,2,9,1,28,1,30,1,13,1,30,1,6,1,7,1,6,1,30,1,13,2,7,1,13,3,7,1,13,5,6,1,29,1,30,1,8,1,29,1,6,1,13,1,8,1,7,1,13,1,7,1,13,1,6,1,13,2,28,1,30,1,29,1,13,1,7,1,6,1,7,1,29,1,13,2,7,1,6,1,13,1,7,1,8,1,9,1,13,1,6,1,13,2,30,1,8,1,13,6,9,1,10,1,13,3,8,1,13,1,8,1,13,4,7,1,13,1,6,1,13,1,7,3,13,1,7,1,9,1,13,1,6,2,13,2,6,1,13,2,29,1,6,1,7,1,13,2,7,1,6,1,28,1,30,1,28,1,6,1,7,1,28,1,30,1,28,2,30,1,28,20,13,3,6,1,13,2,6,2,13,4,33,1,13,8,6,1,13,3,33,1,5,232,13,2,6,2,28,1,30,1,28,3,30,1,28,65,30,1,28,8,29,1,28,61,16,1,17,1,9,2,13,1,9,1,13,3,6,1,28,1,29,1,28,1,30,1,28,2,29,2,6,3,7,3,13,1,11,1,9,1,16,1,17,2,9,1,28,7,9,1,8,2,30,1,28,40,13,1,10,1,9,1,6,1,13,2,17,2,11,1,9,1,13,3,9,1,13,1,9,1,16,1,17,1,16,2,11,1,13,1,9,1,11,1,9,2,16,1,9,1,16,1,17,2,16,1,10,1,11,1,8,1,9,1,16,1,9,4,11,1,16,1,17,1,16,2,11,1,8,1,9,1,30,1,13,3,28,3,}, {28,5,13,2,6,1,29,1,6,1,9,1,15,1,14,1,24,1,15,1,8,1,12,1,17,1,10,1,8,1,30,1,13,2,30,1,7,1,13,1,15,1,14,1,9,1,6,1,8,3,13,1,9,2,13,1,6,1,10,1,14,1,15,1,8,1,30,2,6,1,13,1,30,1,6,1,10,1,11,1,9,2,13,1,24,1,7,1,13,1,24,1,9,2,17,2,12,1,9,1,24,1,8,1,14,1,12,1,8,1,30,2,28,1,29,1,6,1,28,1,6,1,29,1,28,3,30,1,29,1,13,1,30,4,29,1,28,1,30,1,28,6,6,1,13,1,24,1,8,1,17,1,12,1,14,1,12,1,9,1,6,1,13,1,7,1,13,2,7,1,8,1,17,1,12,1,17,1,12,1,17,1,10,1,9,1,8,1,6,1,13,2,24,1,8,1,9,1,11,1,24,1,17,1,16,1,17,1,13,1,28,5,30,1,6,2,29,1,28,7,5,24,33,1,6,2,28,1,6,1,28,1,6,1,30,1,13,1,9,1,16,1,17,20,16,3,9,1,11,1,9,2,13,1,8,3,11,1,16,1,11,3,17,1,11,1,9,1,17,1,16,1,17,1,9,1,28,16,13,1,5,1476,28,3,30,1,6,2,13,1,6,1,29,1,13,2,28,1,13,1,6,2,8,1,13,3,7,1,13,1,6,1,13,2,7,1,13,1,8,1,13,1,7,1,13,2,6,1,13,1,8,1,29,1,13,1,8,1,13,1,6,1,8,1,13,2,8,3,13,3,7,1,13,1,6,1,30,1,13,1,7,1,13,3,7,1,13,1,8,1,13,1,8,1,7,1,13,1,8,1,24,1,13,1,24,1,8,2,13,1,9,1,13,1,8,1,6,1,13,1,7,1,13,1,8,1,7,1,13,2,8,1,13,1,24,1,8,1,9,1,8,1,13,1,7,2,6,1,7,1,6,1,8,1,6,1,7,1,13,3,7,2,13,1,7,1,13,1,7,1,24,1,7,1,13,2,7,1,28,1,8,1,30,1,6,1,7,3,30,1,13,1,29,1,13,4,6,2,13,1,28,1,7,1,28,2,30,1,28,3,7,1,28,2,6,2,28,55,13,5,33,1,5,207,33,1,5,3,13,10,28,1,30,1,28,9,13,2,28,20,30,1,28,29,30,1,28,16,30,2,28,9,30,1,28,6,30,1,28,27,16,1,17,1,11,1,8,1,9,1,13,4,7,1,6,1,28,2,30,2,6,1,13,1,30,2,6,1,13,1,6,2,13,2,11,2,16,1,17,2,11,1,28,4,30,1,28,1,30,1,9,1,11,1,9,1,28,41,6,1,10,1,13,2,30,1,13,1,17,2,11,1,16,1,6,1,13,3,8,1,17,2,16,1,9,4,11,4,17,4,16,1,9,1,10,1,9,4,8,2,13,1,9,1,16,1,9,1,17,4,9,1,29,1,6,2,30,1,28,4,}, {28,5,6,1,7,1,8,1,7,1,6,3,17,1,10,1,15,1,10,1,17,3,8,2,13,2,6,2,13,1,15,1,14,1,15,1,13,1,6,1,8,1,13,2,9,3,24,1,8,1,15,1,14,1,11,1,8,1,13,1,6,1,30,1,6,1,8,1,11,1,8,1,9,2,8,1,9,1,8,4,9,1,17,1,16,1,10,1,9,1,8,1,24,1,12,1,14,1,10,1,30,1,28,1,30,1,6,1,30,4,29,1,28,1,29,1,28,1,6,1,13,1,6,1,28,3,30,1,29,1,28,1,30,1,28,5,30,1,6,1,8,1,12,1,9,2,17,1,9,1,8,1,7,1,6,3,7,1,29,1,13,1,11,1,12,1,17,2,12,1,17,1,8,1,13,7,9,1,10,2,17,1,12,1,6,1,13,1,6,1,28,1,30,1,7,1,30,1,13,1,30,2,28,7,5,26,33,1,30,1,6,2,30,1,6,1,28,1,30,1,13,1,9,1,16,1,17,21,11,2,10,1,9,1,13,1,9,2,10,2,11,1,16,1,17,1,10,1,16,1,17,1,16,2,17,2,9,1,28,16,13,1,5,1470,11,1,28,1,13,1,28,1,30,1,28,1,6,1,13,2,6,1,13,1,6,1,13,2,6,1,8,1,6,1,7,1,8,1,13,4,9,1,8,2,10,1,9,2,11,1,8,2,9,1,8,2,7,1,13,2,8,1,13,1,7,3,13,1,8,1,24,2,8,1,9,1,8,1,10,1,8,1,24,1,13,1,8,1,9,2,13,1,10,1,8,1,24,1,8,1,11,1,8,5,9,1,24,3,13,1,24,2,9,1,13,1,24,3,13,1,9,1,13,1,24,1,8,1,10,1,13,1,24,2,13,2,8,2,6,1,13,1,7,1,13,1,24,1,13,2,8,1,24,1,9,1,13,4,6,2,8,1,7,1,13,1,6,1,7,1,8,1,7,1,13,4,29,1,13,2,6,1,13,5,8,2,13,1,7,1,13,1,7,1,29,1,8,1,7,1,6,1,29,1,6,1,7,1,6,1,7,1,29,1,13,1,6,1,13,1,30,1,28,1,29,1,7,1,30,1,7,2,28,2,30,1,28,1,30,3,28,2,6,1,28,43,6,1,13,4,33,3,5,229,33,1,6,1,28,1,6,1,13,2,6,1,13,3,28,73,30,1,28,9,30,1,28,16,16,1,17,2,8,1,13,1,6,1,7,1,29,1,13,1,29,2,28,1,30,2,29,1,30,2,6,3,8,1,6,1,13,1,8,2,9,2,16,1,17,2,13,1,28,6,30,1,9,2,24,1,28,41,13,1,9,1,13,2,29,1,8,1,17,3,9,1,7,1,13,2,9,1,11,1,17,1,16,1,11,1,16,1,8,2,9,1,17,1,16,1,11,1,17,1,16,1,11,1,17,1,9,2,11,1,9,1,13,1,9,2,8,1,10,1,9,1,11,1,9,3,11,1,17,1,11,1,13,2,28,1,30,3,28,4,}, {29,1,28,2,30,2,29,1,6,1,7,2,6,2,7,1,24,1,12,1,24,1,10,1,17,2,14,1,13,1,8,1,6,1,13,2,29,1,6,1,9,1,14,1,12,1,24,1,7,1,13,1,8,1,13,1,10,1,13,3,8,1,10,1,24,1,9,1,8,1,13,1,7,1,30,1,7,1,9,1,11,1,12,1,10,1,9,1,11,1,13,1,8,2,6,1,8,1,17,3,15,1,13,1,24,1,9,1,10,1,15,1,13,1,6,1,28,4,30,1,29,1,28,1,30,1,28,1,6,1,13,1,6,1,30,2,29,1,28,1,30,1,29,1,28,7,30,1,28,1,30,1,28,1,8,1,13,1,9,1,17,1,24,1,9,1,6,2,13,1,6,2,7,2,8,1,17,3,12,1,17,1,9,1,30,1,13,1,7,1,8,2,13,3,17,3,9,1,6,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,6,1,29,1,28,7,5,29,13,1,6,1,28,1,6,2,28,1,30,1,6,1,13,1,16,3,17,17,16,1,17,2,9,1,7,1,9,2,13,1,9,1,10,1,11,1,16,1,11,1,16,1,11,1,16,2,17,2,11,1,28,16,13,1,5,1468,9,1,13,2,6,3,8,1,13,1,6,1,13,1,6,1,7,1,8,2,7,1,24,1,8,2,7,1,13,2,8,1,13,1,24,1,13,1,24,1,9,1,10,1,12,1,8,1,9,1,10,1,9,2,8,2,9,2,13,3,8,1,24,1,13,1,8,1,9,2,10,1,12,1,10,1,12,1,10,2,9,1,8,1,10,1,9,1,8,2,24,1,8,1,10,1,13,1,9,1,24,1,8,1,24,1,8,1,13,1,10,1,8,1,24,1,8,3,24,1,8,4,13,2,10,1,13,2,24,2,8,1,13,1,9,1,13,1,8,1,9,2,13,1,24,1,13,3,6,1,9,1,13,1,8,1,6,1,13,2,7,1,13,1,10,1,7,1,13,1,8,1,7,1,13,1,6,1,8,1,7,1,6,1,7,1,8,1,13,1,6,1,13,1,8,1,6,1,7,1,8,2,6,1,13,1,6,1,13,1,8,3,13,1,6,2,13,3,8,1,13,2,7,1,13,1,7,1,24,1,13,5,7,1,13,2,7,3,6,1,13,1,7,1,29,1,28,2,6,1,13,1,6,1,13,1,28,2,29,1,28,1,6,1,30,1,28,43,30,1,5,247,33,1,13,3,28,8,30,2,28,7,30,1,28,42,30,2,28,25,17,2,16,1,9,1,8,1,6,3,13,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,29,1,13,1,6,1,13,1,6,1,8,2,9,1,8,1,9,1,17,3,11,1,28,7,10,1,9,1,13,1,30,1,28,40,8,1,10,1,8,1,30,1,13,1,10,1,17,3,9,1,13,1,30,1,9,1,12,1,17,1,16,3,9,3,11,1,17,5,16,1,17,1,16,2,10,1,9,2,11,1,16,1,8,1,11,1,9,1,10,1,11,1,13,1,9,1,16,1,17,2,13,1,6,1,7,1,28,7,}, {6,1,30,2,28,1,6,1,30,1,6,1,29,1,6,3,8,1,6,1,9,1,24,1,12,1,17,3,24,1,8,2,6,1,8,1,6,2,14,2,12,1,10,1,7,1,13,1,8,1,24,1,13,1,8,1,13,2,24,1,15,1,9,3,13,1,8,1,29,1,7,1,13,1,12,4,8,1,13,4,8,1,11,1,17,2,15,1,8,2,15,2,14,1,9,1,29,1,28,3,29,1,28,1,30,1,6,1,28,1,6,1,28,1,29,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,8,30,1,8,1,24,1,13,1,8,1,9,1,10,1,13,1,6,1,13,1,30,1,29,1,30,1,6,1,13,1,8,1,17,2,11,1,16,1,9,1,8,2,6,2,8,1,13,2,8,2,11,1,17,1,12,1,9,1,13,1,30,3,28,3,6,1,30,1,13,1,28,4,30,1,28,2,13,1,5,29,33,2,13,1,28,1,6,1,30,1,13,2,6,1,13,1,9,1,10,1,11,1,17,3,16,1,17,15,11,2,9,1,11,1,16,1,11,1,16,2,11,1,17,1,11,2,17,3,9,1,28,16,6,1,5,1465,16,1,11,1,13,2,9,1,13,1,8,1,7,1,8,1,7,1,8,1,13,3,9,1,13,1,24,1,8,2,13,1,9,1,8,1,7,1,13,2,8,1,13,1,8,1,12,1,13,1,8,2,9,1,24,1,13,1,8,1,24,1,9,1,8,2,9,1,8,2,24,1,8,2,24,1,8,2,12,1,10,2,24,1,11,1,24,1,9,1,10,1,12,1,9,1,13,1,11,1,7,1,8,2,7,1,24,1,8,1,13,1,24,1,13,1,24,1,8,1,24,1,8,1,9,2,8,2,24,2,8,1,11,1,24,1,13,1,24,2,13,1,24,1,7,1,9,1,8,1,13,1,10,1,8,2,24,2,9,1,24,1,13,1,8,1,13,1,24,1,13,1,7,1,8,1,13,2,7,1,13,3,7,1,13,1,8,3,6,1,8,1,7,1,13,1,7,2,13,3,7,1,6,1,8,2,13,2,6,1,7,1,9,1,6,3,7,1,13,4,8,1,7,2,8,1,13,1,7,1,8,1,7,1,6,1,13,1,6,1,8,1,7,1,8,1,13,1,6,1,7,1,13,1,30,1,7,1,8,1,13,1,8,1,13,1,7,1,13,1,6,2,13,1,6,1,30,2,28,1,30,2,7,1,30,1,28,1,29,1,28,14,30,1,28,10,30,1,28,5,30,3,28,6,6,1,9,2,13,3,5,246,33,1,5,2,33,1,5,5,6,1,30,2,28,20,30,1,28,20,13,1,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,17,17,2,11,1,8,1,13,2,6,1,13,1,6,1,28,1,6,1,28,1,30,1,28,2,6,1,28,1,30,1,8,1,13,1,29,1,6,1,30,1,13,3,11,1,17,3,13,1,28,6,30,1,9,1,10,1,13,1,28,41,13,1,9,1,13,2,29,1,11,1,17,3,9,3,16,1,17,2,11,1,16,1,9,1,11,3,17,2,16,1,17,2,11,1,9,1,11,1,10,1,9,1,8,2,11,1,16,1,11,1,17,1,16,1,9,1,13,2,6,1,8,2,17,1,12,1,6,1,7,1,6,2,28,6,}, {28,1,30,1,28,4,29,1,30,1,7,1,13,1,7,1,13,2,24,1,8,1,10,1,17,2,14,1,24,1,13,2,29,1,13,1,6,1,8,1,14,2,8,1,7,1,8,2,6,1,8,2,13,1,8,1,13,1,8,1,14,1,9,1,24,1,8,2,6,1,29,2,30,1,16,1,17,1,11,1,13,1,9,2,24,1,13,2,7,1,11,1,17,2,12,1,9,1,8,2,10,1,14,1,9,1,28,1,29,1,28,1,29,1,28,1,30,1,28,1,6,1,28,2,6,1,29,2,28,4,30,1,28,3,30,1,28,6,6,2,7,1,8,2,14,1,9,2,6,2,13,1,7,1,29,1,28,1,13,1,9,1,17,1,16,1,17,2,8,2,13,1,6,3,13,5,8,1,17,1,8,1,13,1,30,1,29,1,28,1,30,1,28,1,29,1,6,1,30,1,6,1,13,1,28,6,13,1,5,32,13,1,30,2,13,2,28,1,6,1,30,1,13,1,17,4,16,1,17,18,16,1,11,1,16,5,17,1,16,1,17,3,16,1,28,16,6,1,5,1446,13,4,7,1,13,1,9,1,8,1,9,1,13,1,9,2,13,2,9,1,13,1,9,2,13,2,9,1,13,1,24,1,13,1,9,1,8,1,13,1,8,1,24,2,8,1,24,1,13,1,24,2,9,2,13,1,8,1,13,1,8,1,13,1,11,1,13,1,8,2,29,1,13,2,24,1,8,1,6,1,8,6,13,1,7,1,13,4,24,1,8,1,24,1,13,1,8,1,13,1,8,1,24,1,10,1,24,1,8,2,24,1,8,1,10,1,9,1,13,1,7,1,8,1,13,1,8,2,24,1,8,1,10,1,24,1,13,1,24,1,9,1,13,1,8,4,13,2,8,2,13,1,8,1,24,1,8,2,13,1,7,1,13,2,8,1,7,1,8,1,24,2,13,1,7,1,13,1,7,2,8,1,13,1,6,1,13,1,7,1,24,1,8,1,13,2,6,1,13,1,8,1,13,1,8,1,7,1,8,2,13,3,7,1,6,2,7,1,6,1,7,3,6,1,29,1,7,2,6,1,13,1,29,1,8,1,13,1,6,1,7,1,13,1,8,1,6,1,13,5,8,2,13,2,7,1,8,1,7,1,8,1,13,1,7,2,24,1,13,1,8,1,13,1,8,1,6,1,8,1,13,1,24,1,7,1,8,1,6,1,8,7,13,2,6,1,7,1,30,1,13,1,30,1,13,1,6,1,28,1,29,1,30,1,28,4,6,1,28,1,30,1,6,1,29,1,28,1,29,1,30,2,28,1,6,2,30,1,13,1,30,1,7,1,28,1,30,3,6,1,30,1,13,1,7,1,6,1,30,1,6,3,30,1,28,2,6,1,30,1,13,1,33,1,5,255,16,1,5,1,9,1,13,2,6,2,28,1,6,1,28,31,9,1,17,2,6,1,28,8,30,2,28,1,30,1,28,18,17,2,11,1,13,2,7,1,6,2,13,1,7,1,30,1,28,5,30,1,29,1,6,1,8,1,6,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,17,2,13,1,28,6,6,1,9,1,17,1,8,1,28,41,8,1,9,1,13,2,9,1,17,3,11,2,13,1,17,4,11,2,16,1,11,1,16,1,17,3,16,2,11,3,9,1,13,2,8,1,11,2,17,4,13,1,6,1,30,1,6,1,7,1,10,1,9,1,12,1,29,2,6,1,30,1,6,1,28,1,30,1,28,3,}, {30,3,28,1,30,1,7,1,29,1,30,3,24,1,8,1,13,2,24,1,11,1,14,1,17,1,14,1,8,1,13,1,6,1,7,1,13,1,6,2,12,1,14,2,6,1,7,1,13,2,24,1,11,1,8,1,13,3,14,1,12,1,9,1,13,2,7,1,6,1,30,1,8,1,9,1,12,1,17,1,9,2,8,1,24,1,8,1,13,3,17,2,9,1,13,2,8,1,9,1,15,1,8,1,7,1,29,1,28,1,30,1,28,4,30,1,6,1,28,1,6,2,28,1,29,1,28,4,30,1,28,7,30,1,29,1,13,1,8,2,13,1,12,1,9,2,13,1,6,2,30,1,6,1,28,1,13,1,9,1,17,3,16,1,9,1,8,1,13,2,30,1,7,1,13,1,7,1,13,2,9,2,14,1,17,1,6,1,30,1,29,1,28,3,6,1,30,2,7,1,6,1,28,3,30,1,28,2,13,1,5,34,13,1,30,1,28,1,13,3,7,1,13,1,6,1,9,1,17,1,16,1,17,7,16,1,17,15,16,3,17,1,16,1,17,3,28,16,6,1,5,1439,16,1,9,2,11,2,13,2,7,1,8,1,13,2,11,1,8,1,13,2,8,2,13,1,9,1,13,4,8,1,13,1,8,1,9,1,13,1,9,2,8,1,13,1,8,1,13,1,8,1,13,2,24,2,13,2,8,1,13,1,24,1,13,1,9,1,7,1,10,1,13,2,24,1,29,1,24,1,7,1,24,1,8,1,13,1,8,1,24,1,8,1,24,1,13,1,8,1,6,1,8,1,7,1,13,1,24,1,8,1,7,1,13,1,7,2,29,1,7,1,13,1,7,1,13,6,8,1,24,1,13,1,7,1,13,1,8,1,24,1,8,1,13,2,8,1,7,1,13,1,24,1,8,2,13,1,24,1,13,1,8,1,13,1,9,1,7,3,13,1,7,2,29,1,7,2,6,1,7,2,29,1,24,1,13,2,30,1,13,2,29,1,7,1,29,1,7,3,29,1,6,1,7,1,6,2,7,1,8,1,13,1,8,1,13,1,7,1,10,1,7,1,8,1,24,1,13,1,7,1,29,1,13,1,7,2,13,1,7,1,6,2,8,1,6,2,7,1,6,2,10,1,12,1,17,1,8,1,28,1,13,3,7,1,13,2,7,1,13,1,7,1,13,1,6,2,13,1,8,1,29,1,6,1,7,1,6,2,13,2,7,1,8,1,13,1,24,1,29,1,13,2,8,1,13,1,6,1,7,1,8,1,13,1,7,2,8,1,13,1,9,1,7,1,9,1,13,2,9,1,13,1,7,3,13,2,6,2,29,1,6,2,13,2,6,2,30,1,6,1,29,1,30,1,6,3,13,1,6,4,7,1,28,1,6,1,7,1,13,1,30,1,7,1,6,1,13,1,7,1,6,1,7,1,13,2,8,1,13,1,8,1,13,1,8,1,9,2,11,2,16,1,11,1,5,255,33,1,5,1,33,1,13,5,6,3,30,1,28,1,30,2,28,11,30,2,28,6,30,1,11,1,17,1,9,1,28,9,30,1,28,1,30,1,6,1,7,1,28,17,17,2,9,2,6,1,7,1,13,1,7,1,13,1,29,1,30,1,28,3,30,1,29,2,6,1,7,1,29,1,13,1,6,1,8,1,13,1,6,1,9,1,16,1,11,1,17,2,6,1,28,6,6,1,17,1,8,2,28,41,8,1,9,1,13,1,6,1,13,1,8,1,17,3,11,2,17,4,11,1,9,1,17,6,16,2,17,1,16,1,9,1,8,1,13,1,9,2,17,6,13,2,30,1,13,1,6,1,9,1,12,1,10,1,30,2,13,1,30,1,28,2,30,1,28,3,}, {7,1,28,5,29,1,30,1,6,1,7,1,6,1,8,1,13,1,8,1,13,1,15,1,14,1,17,1,16,1,7,1,6,1,13,1,6,1,29,1,6,1,13,1,17,3,8,1,13,2,8,1,6,1,7,1,24,2,8,1,28,1,15,1,17,1,8,2,6,1,13,1,29,1,6,1,13,1,9,1,11,3,9,1,13,1,8,1,6,1,8,1,13,1,9,1,17,2,10,1,8,1,13,1,24,1,8,1,10,1,24,1,30,2,28,1,30,3,28,4,29,1,6,1,30,1,28,1,30,1,28,2,30,1,28,5,6,1,28,1,29,2,30,2,6,1,8,1,13,1,24,2,12,1,13,4,6,1,29,2,6,1,11,1,16,1,17,1,16,1,17,1,12,1,24,1,13,2,7,3,13,3,8,1,24,1,12,1,17,1,6,1,28,3,30,2,28,1,29,1,6,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,13,1,5,36,13,2,28,1,13,1,28,3,6,1,9,2,17,5,16,6,17,12,16,1,17,6,9,1,28,16,13,1,5,1437,9,1,11,1,13,1,9,2,13,2,10,2,9,2,8,1,24,1,12,1,10,1,12,1,24,1,8,1,10,1,24,1,8,1,9,1,8,3,9,1,24,1,8,1,13,1,9,2,13,1,8,1,7,1,8,2,7,1,8,1,13,1,7,1,13,1,24,1,11,1,8,4,9,1,8,1,13,2,8,1,24,1,9,1,13,2,24,1,13,1,7,1,29,1,9,1,10,1,13,1,9,1,7,3,8,1,29,1,6,1,13,1,7,2,13,1,8,2,13,1,7,2,6,1,7,2,13,2,6,1,13,1,6,1,8,1,13,4,24,1,9,1,8,1,24,1,13,2,7,2,8,1,13,1,8,1,7,1,9,1,13,1,8,2,7,1,13,1,7,1,8,1,13,1,7,1,6,1,7,1,28,1,7,1,29,1,6,1,13,4,6,1,7,1,6,1,30,1,7,1,6,1,29,1,30,2,6,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,6,1,13,2,7,1,13,1,24,1,8,1,7,2,13,2,6,1,13,1,30,1,7,1,6,1,29,1,13,1,29,1,7,1,6,1,13,1,17,3,10,1,7,1,13,1,6,2,29,1,6,1,7,3,6,2,13,1,7,1,6,3,13,4,6,1,13,1,7,1,8,2,7,1,8,1,13,2,7,4,8,2,6,1,13,2,7,1,8,1,29,1,13,1,7,1,8,2,13,1,7,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,8,1,30,1,6,2,7,1,29,1,6,1,13,1,30,2,13,1,7,1,6,2,13,1,6,1,30,1,6,3,7,1,13,1,29,1,13,2,6,3,29,1,7,1,29,1,7,1,6,1,13,1,24,1,13,3,9,1,13,1,9,2,13,1,11,1,9,1,11,1,5,290,16,1,5,1,13,2,30,1,28,5,30,1,28,1,30,1,6,2,28,16,17,2,11,1,13,1,29,1,6,2,13,2,29,1,28,3,30,1,28,1,29,1,30,1,29,1,6,1,8,1,29,1,13,2,8,1,13,1,6,1,13,1,16,1,17,2,28,7,13,1,9,1,10,1,9,1,28,41,9,1,13,2,30,2,9,1,17,3,16,1,17,10,16,1,11,1,9,1,11,1,17,1,10,2,13,1,10,1,11,1,16,1,17,7,28,1,30,3,29,1,13,1,12,1,24,1,6,1,30,1,6,1,30,2,28,5,}, {6,1,28,1,30,1,28,2,7,1,30,2,13,1,29,2,13,1,11,1,9,2,12,1,10,1,17,1,16,1,13,1,6,3,7,1,29,1,30,1,17,3,8,1,6,1,13,2,8,1,9,1,8,1,9,1,8,1,6,1,15,1,17,1,13,1,8,1,6,2,29,2,13,1,9,1,11,1,17,1,8,1,9,1,13,3,6,1,29,1,9,1,10,1,17,2,9,1,13,1,9,1,12,1,24,1,15,1,30,1,29,1,28,1,6,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,7,1,30,1,29,1,28,1,6,1,30,1,28,1,30,2,28,3,29,1,28,3,29,1,28,1,8,1,7,1,13,1,24,2,9,1,8,1,7,1,6,1,30,1,6,3,28,1,9,1,17,2,16,1,9,1,12,1,13,1,7,1,13,3,8,1,13,2,8,1,13,1,24,1,12,1,15,1,30,2,28,5,6,2,30,1,6,1,30,1,28,5,13,1,5,38,6,2,30,2,28,2,30,1,28,1,13,1,9,1,16,2,17,2,16,3,11,1,17,1,16,1,17,11,16,4,17,3,16,1,28,16,13,1,5,1428,9,1,13,1,6,1,9,1,8,1,9,2,13,2,9,1,11,2,17,3,13,1,9,1,11,1,13,1,10,3,9,1,8,1,24,1,9,1,13,1,24,2,8,1,10,1,13,1,24,2,13,4,9,1,13,2,8,1,13,2,7,1,13,1,24,1,13,3,7,1,24,1,13,1,8,1,13,1,24,1,13,2,9,1,24,1,8,1,9,1,8,1,24,1,8,2,7,1,8,3,13,2,7,1,8,2,7,1,13,1,8,2,6,1,9,1,7,1,13,1,7,2,13,1,7,2,8,1,13,1,8,3,13,2,7,1,8,1,13,1,8,2,24,1,9,1,8,1,9,1,10,1,24,1,13,1,24,1,8,2,24,3,8,1,13,1,10,1,24,1,8,1,10,1,13,1,8,3,13,2,24,1,10,1,6,1,29,1,8,1,7,3,13,1,7,1,13,1,7,1,30,1,7,1,28,1,30,1,28,1,30,1,7,1,28,1,7,1,30,1,6,1,13,1,30,1,29,1,7,1,13,2,28,1,29,1,13,2,7,2,30,1,6,1,13,1,6,2,7,1,30,1,13,1,30,1,6,1,13,1,9,1,17,2,11,1,12,1,28,1,13,1,30,1,6,1,13,1,7,1,29,1,13,1,28,1,8,1,30,1,6,1,8,1,7,2,13,2,8,1,6,2,13,1,7,2,13,1,7,1,13,1,7,1,13,1,8,1,9,1,6,1,8,1,7,1,29,1,7,1,13,1,6,1,13,6,8,1,6,2,13,1,7,1,6,1,24,1,13,1,7,1,13,1,7,3,6,3,29,1,13,1,30,1,6,2,7,1,6,1,30,1,29,3,7,2,30,1,8,1,6,2,7,2,29,1,13,1,29,1,6,1,7,1,30,1,7,1,29,1,7,1,13,2,11,2,12,1,24,1,10,1,8,1,10,1,13,1,10,1,13,2,9,1,13,1,9,2,5,290,33,1,13,2,6,1,30,1,28,3,30,1,6,1,30,1,28,16,17,2,8,1,13,5,7,1,6,1,30,1,28,4,30,1,7,1,13,1,29,1,7,1,13,1,6,1,13,1,7,1,13,1,7,1,11,1,17,3,28,7,6,1,9,2,8,1,28,41,9,1,13,1,6,3,11,1,17,2,16,1,17,7,16,1,17,1,9,1,11,3,17,1,11,1,10,1,13,1,11,1,9,1,16,1,9,1,16,1,17,7,28,1,13,1,30,1,6,1,28,1,8,1,12,1,9,1,7,2,29,1,6,1,28,6,}, {28,2,29,1,28,1,30,2,29,1,30,2,6,1,13,1,6,1,13,1,9,1,12,2,17,3,13,2,7,1,6,2,30,1,29,1,10,1,17,2,9,1,13,2,7,1,8,3,13,1,8,1,13,1,9,1,16,1,17,1,9,1,6,1,7,1,28,1,30,1,13,1,11,1,9,1,24,1,9,2,6,1,7,1,6,3,13,1,16,1,17,1,9,1,24,1,6,1,8,1,9,1,24,1,8,1,13,1,6,1,29,1,6,1,30,1,29,2,28,2,30,2,28,1,30,1,28,1,30,1,29,1,28,1,29,1,28,9,30,2,6,1,24,1,9,2,24,1,14,1,24,1,6,1,24,1,29,1,13,1,6,1,30,1,29,1,8,1,12,1,9,1,8,1,11,1,24,1,9,1,7,1,6,1,13,1,6,1,8,2,29,1,7,1,8,2,10,1,9,1,6,1,28,5,30,1,28,10,13,1,5,40,13,1,30,1,28,2,6,1,28,1,30,1,28,1,13,1,11,3,16,2,17,1,16,1,11,2,10,1,16,1,17,8,16,1,11,1,16,1,17,2,16,1,17,2,16,1,30,1,28,15,13,1,5,1427,11,1,9,1,13,1,8,2,24,1,13,1,9,1,17,1,10,1,17,1,9,1,8,1,17,3,13,3,8,1,24,1,10,1,8,1,24,1,10,1,8,2,24,1,8,1,7,1,13,1,9,1,7,1,13,2,8,1,13,1,9,1,13,2,8,1,13,1,8,1,13,1,8,1,13,1,24,1,6,1,7,3,8,1,24,1,6,1,7,1,13,1,8,1,9,1,6,1,8,1,13,3,8,1,24,1,8,3,7,1,13,1,24,1,8,1,9,1,8,3,13,2,8,1,13,1,8,1,24,1,8,1,13,1,6,1,8,1,13,1,24,1,7,1,8,3,13,3,8,1,13,6,24,2,13,1,8,1,24,1,9,2,13,1,10,1,9,1,8,4,6,1,8,1,13,1,7,1,8,1,7,1,24,1,10,1,13,1,24,1,13,1,24,2,13,2,7,1,8,1,9,2,13,2,24,1,6,1,13,1,7,2,6,1,29,1,6,1,30,1,6,1,13,1,30,2,28,1,30,1,6,1,30,1,6,1,7,1,6,3,7,4,6,2,7,1,29,1,7,1,6,1,8,1,29,1,6,1,7,1,13,2,7,1,8,1,7,1,29,1,8,2,30,2,6,1,8,1,6,1,13,1,8,1,28,1,8,1,6,1,7,1,8,1,13,1,7,1,6,1,13,3,7,1,13,1,6,1,8,1,24,1,29,1,24,3,12,1,24,1,13,1,9,1,8,2,6,1,8,1,13,2,24,1,7,1,8,1,13,2,7,1,13,2,7,1,6,1,8,1,6,1,13,1,8,1,6,1,13,2,8,1,13,1,7,2,13,1,28,1,6,1,28,1,7,1,30,1,7,3,28,1,6,3,8,1,7,1,13,1,6,1,29,1,13,1,6,1,7,1,30,1,7,1,6,2,13,1,6,1,29,1,6,1,9,1,8,1,9,1,12,1,11,1,12,1,10,1,13,2,9,2,13,3,6,1,33,1,5,295,13,1,9,1,6,1,28,16,17,2,8,1,13,2,6,1,13,2,7,1,30,1,6,1,28,1,13,1,28,2,30,1,7,1,6,2,13,2,6,1,13,4,16,1,17,2,16,1,28,7,13,1,17,1,13,2,28,41,9,1,8,1,13,1,6,2,11,1,17,10,11,3,16,1,11,2,16,1,9,1,13,1,11,3,9,3,16,1,17,6,7,2,30,1,28,1,29,1,9,1,12,1,10,1,13,1,29,1,6,1,30,1,28,6,}, {6,1,28,4,30,2,29,1,6,1,8,1,6,1,13,2,12,1,11,1,12,1,9,1,17,1,9,2,7,2,6,2,29,1,30,1,24,1,17,2,9,1,6,1,13,2,8,1,11,1,9,2,7,1,8,2,14,1,12,1,9,1,13,2,8,1,7,1,13,1,12,1,9,2,11,2,13,3,6,1,7,2,17,2,16,1,11,1,6,1,13,1,24,1,9,1,8,1,6,1,13,1,28,2,13,1,30,1,28,1,6,1,29,1,28,1,29,2,28,5,30,1,28,9,30,1,28,1,6,1,13,1,8,2,10,2,24,1,30,1,13,1,6,1,30,1,29,1,28,1,6,1,8,1,17,4,8,1,13,1,6,1,29,1,6,2,8,1,13,1,8,2,13,1,8,1,10,1,9,1,13,1,28,2,30,1,28,3,30,2,28,1,30,1,28,6,6,1,5,42,6,2,30,1,28,1,30,2,28,2,13,1,9,2,16,1,11,1,17,1,16,2,11,1,16,1,11,1,16,2,17,10,16,1,17,3,28,16,13,1,5,1422,9,1,11,1,9,1,11,1,9,2,8,1,11,1,10,1,13,1,10,1,24,1,7,1,13,2,24,1,6,1,13,1,17,4,13,1,8,1,29,1,24,1,13,1,7,1,8,1,13,1,8,1,13,1,6,1,9,1,30,1,13,1,7,1,29,1,13,1,8,2,6,1,7,1,8,2,13,1,6,1,7,3,13,1,8,1,13,4,7,1,13,1,8,1,7,1,8,1,13,1,9,1,7,1,9,1,13,1,9,1,13,1,24,1,8,3,24,2,8,1,7,1,8,1,6,1,13,1,11,1,8,3,7,1,8,1,13,2,7,1,8,1,13,3,6,1,24,1,9,1,24,1,8,1,13,1,8,1,24,1,13,1,8,1,10,1,24,1,8,1,13,1,24,1,13,2,8,1,24,2,12,1,9,1,24,2,8,2,10,1,13,1,24,1,13,2,24,1,8,1,13,1,8,1,13,1,9,1,13,2,24,1,7,1,8,1,9,1,7,1,8,1,7,2,29,1,30,1,29,1,13,1,6,1,7,2,13,1,6,1,29,1,6,1,30,4,13,1,30,2,29,1,6,2,13,1,6,1,13,1,30,1,6,1,28,1,7,2,28,1,29,1,7,1,6,1,13,1,6,3,7,1,6,1,8,2,7,1,6,2,7,1,29,1,6,1,29,1,6,2,13,1,7,1,6,1,13,1,7,1,8,1,6,1,7,1,30,1,13,3,6,1,7,1,30,1,8,1,13,1,7,1,13,2,7,1,13,1,24,2,7,1,13,2,24,1,10,1,24,2,8,1,24,1,13,1,24,1,13,3,8,1,13,1,24,1,7,1,24,1,13,2,7,1,13,2,7,1,13,1,29,1,6,1,29,1,28,1,29,1,7,2,6,3,29,1,28,1,29,2,6,1,30,1,29,2,30,1,6,2,28,1,7,1,6,1,30,1,13,1,30,2,7,1,6,1,7,1,13,4,7,1,24,1,8,1,13,1,8,1,9,1,10,1,8,1,10,1,8,1,9,1,8,1,9,1,13,1,9,1,6,2,9,1,5,294,9,1,28,15,6,1,17,1,11,1,9,1,8,1,13,1,6,1,8,1,13,2,29,1,28,4,6,1,30,3,6,1,30,1,6,1,13,1,6,1,8,1,13,2,11,1,17,3,28,5,30,1,28,1,13,1,9,1,13,2,28,41,16,1,8,1,13,1,6,2,9,1,17,8,16,1,11,1,16,2,9,1,16,2,9,1,11,1,10,1,17,1,9,1,10,1,11,1,10,1,11,1,13,1,17,6,11,1,6,1,30,1,6,1,30,1,29,1,10,1,17,1,8,1,30,1,29,1,6,1,28,1,30,1,28,3,30,1,28,1,}, {28,3,30,1,29,1,28,1,30,2,6,1,29,1,13,1,6,1,13,1,12,1,9,3,16,2,24,1,13,1,8,1,30,1,6,2,29,1,9,1,11,2,9,1,8,1,6,2,9,1,8,1,9,2,10,1,13,1,9,1,16,1,13,5,8,2,9,3,24,1,9,1,8,1,6,1,13,1,8,1,13,2,17,3,13,2,8,1,24,1,15,1,6,1,7,1,30,1,7,1,29,2,6,2,30,2,29,1,30,1,29,1,28,2,30,1,28,3,29,1,28,5,30,1,28,1,30,1,28,1,6,1,13,1,7,1,8,1,24,2,9,1,24,1,6,1,13,3,29,1,28,1,30,1,8,1,12,1,16,1,11,2,24,1,7,1,6,1,28,1,6,1,13,3,8,1,13,1,9,2,15,1,10,1,6,1,28,10,29,1,28,5,30,1,5,44,33,1,6,1,30,2,28,1,30,1,28,2,30,1,13,1,16,5,9,1,10,1,9,1,16,1,9,1,17,3,16,1,17,8,9,1,28,16,13,1,5,1406,11,1,13,1,9,1,13,1,9,2,13,5,9,2,11,1,9,3,11,1,9,2,10,1,8,2,9,1,10,1,8,1,13,1,24,1,7,1,13,3,7,1,6,1,17,2,8,1,28,1,29,1,8,1,13,1,7,1,13,1,6,1,13,1,7,1,13,2,8,2,13,2,8,1,6,1,7,3,8,1,29,1,8,1,7,1,13,2,7,2,9,1,13,1,6,1,8,2,29,2,13,1,8,1,10,1,13,2,8,1,13,2,24,1,8,2,24,1,7,1,13,1,24,1,8,1,24,1,8,1,24,2,8,1,9,1,8,1,13,1,8,1,13,1,8,1,10,1,13,1,8,3,13,2,24,1,7,1,13,1,7,1,13,1,8,2,7,2,13,3,6,1,7,1,13,1,7,1,13,2,24,1,13,1,8,1,24,1,13,3,6,2,8,3,24,1,7,1,13,3,6,1,13,3,7,3,8,1,13,2,6,1,7,1,6,1,8,1,13,1,8,2,6,2,13,1,29,1,6,1,28,1,29,1,7,1,6,3,29,1,6,1,29,1,6,1,13,1,7,1,13,1,8,1,6,1,29,1,7,1,13,1,30,1,6,1,7,1,13,1,30,1,7,1,6,4,7,1,6,1,7,2,13,1,7,1,8,1,13,1,7,2,6,1,7,1,24,1,6,1,7,1,13,1,7,3,13,1,6,3,13,2,7,1,6,1,7,2,8,1,29,1,13,2,8,1,13,2,6,1,13,3,24,2,13,1,24,1,13,1,6,1,8,1,13,1,8,1,6,1,24,1,8,1,7,1,6,1,7,1,13,2,8,1,13,1,7,3,6,1,7,1,13,1,6,1,8,3,6,1,29,1,7,1,13,1,24,1,7,3,30,1,13,1,29,1,7,1,13,1,28,1,30,2,29,1,30,1,29,1,13,2,29,1,24,1,13,1,6,1,13,1,8,2,13,1,7,1,13,1,29,1,13,2,7,1,13,2,24,1,9,1,24,1,12,1,8,1,24,1,10,2,6,1,9,1,13,1,9,1,13,1,9,1,11,1,5,290,16,1,28,15,30,1,17,2,9,1,13,1,8,1,13,1,7,1,13,1,6,1,30,1,28,4,30,3,6,1,30,1,6,2,13,1,29,1,13,1,6,1,13,1,17,1,16,1,17,1,16,1,28,7,13,1,9,2,13,1,28,41,11,1,9,1,7,1,6,2,9,1,17,8,16,2,9,1,11,1,16,1,11,1,9,1,11,2,17,3,11,1,16,1,10,1,9,1,11,1,16,1,17,1,11,1,17,3,11,1,6,1,28,2,30,1,6,1,11,2,13,1,30,1,29,2,28,7,}, {29,1,6,1,30,1,28,2,30,1,6,1,28,1,7,1,30,1,6,2,24,1,10,1,17,1,9,2,17,2,8,1,9,1,30,1,6,1,30,1,6,2,9,1,11,1,17,1,9,1,13,1,8,1,13,1,8,1,9,3,8,1,13,1,8,1,14,1,13,2,6,1,29,1,13,2,6,1,10,1,12,2,16,1,9,1,30,1,6,4,9,1,17,3,11,1,13,1,9,1,13,1,9,1,8,1,7,1,30,1,28,1,6,1,28,3,6,1,28,2,29,1,30,1,28,3,30,1,28,11,30,2,6,1,24,1,13,2,9,1,24,1,7,1,13,1,29,1,6,2,29,2,28,1,8,1,17,3,10,1,8,1,6,1,7,1,28,1,6,1,7,1,29,1,13,1,8,1,24,1,13,1,8,1,24,1,10,1,7,1,28,4,30,3,29,1,6,1,28,8,5,46,33,1,13,1,30,1,28,5,13,1,9,1,16,2,9,1,11,1,16,1,11,1,16,1,11,1,16,1,17,8,16,2,17,1,11,1,29,1,28,15,13,1,5,1379,13,1,30,1,28,1,6,1,30,1,13,4,9,3,13,3,9,1,13,1,8,2,13,1,9,1,10,1,8,1,9,1,13,1,9,1,7,1,13,2,9,1,8,3,9,3,8,1,9,5,8,1,9,2,24,1,7,1,8,1,13,5,24,1,6,1,8,2,24,1,6,1,13,1,28,1,12,1,7,3,8,3,13,2,8,1,7,1,13,1,6,1,24,1,6,1,13,1,7,1,6,1,7,1,8,2,7,1,8,1,13,1,7,1,13,1,30,1,7,1,13,5,8,1,13,3,6,1,8,2,7,2,13,1,8,1,13,1,8,1,24,1,9,1,13,1,24,1,13,1,24,1,8,2,9,2,8,1,7,1,24,1,7,1,8,1,13,1,12,1,8,1,13,3,9,1,10,1,7,1,24,1,13,2,8,1,13,3,7,1,8,1,13,2,24,2,30,1,13,1,6,1,24,1,7,1,13,4,7,2,8,1,7,1,13,2,6,1,13,3,7,1,29,1,13,1,6,1,7,1,13,1,6,1,8,2,7,1,6,1,7,1,13,1,6,1,7,3,6,1,13,1,8,1,7,2,8,1,7,1,6,1,13,1,7,1,6,1,30,1,28,1,6,2,13,2,6,1,13,1,6,1,13,1,7,1,13,1,7,1,24,1,7,1,8,1,6,1,24,1,13,1,29,1,7,5,13,1,7,1,6,1,7,1,8,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,13,2,6,1,29,1,7,1,13,2,8,1,13,1,7,1,13,1,7,2,13,1,8,1,6,1,7,2,13,2,6,2,8,1,7,1,8,1,7,1,13,1,8,1,29,1,13,1,6,1,13,1,24,1,7,1,13,1,8,1,6,1,8,1,7,1,13,2,6,1,13,1,6,1,13,1,7,1,8,2,6,2,7,1,8,2,7,3,30,1,13,1,24,1,7,1,13,1,8,1,13,1,29,1,6,1,13,1,6,1,8,1,29,1,6,4,7,1,30,2,7,1,29,1,30,1,7,1,13,1,6,1,29,1,13,1,7,1,13,1,24,1,8,1,7,1,13,1,8,3,7,1,13,1,6,1,13,2,9,1,8,2,13,1,9,1,13,1,12,1,9,2,8,1,7,1,10,1,9,3,13,1,5,287,28,15,6,1,17,1,16,1,13,2,24,1,13,4,30,2,28,7,30,1,13,1,7,1,6,1,8,1,13,1,6,1,13,1,16,1,17,2,11,1,28,3,30,2,28,2,13,1,8,1,13,1,30,1,28,40,30,1,9,1,8,1,6,2,13,1,9,1,17,6,9,1,16,1,8,1,11,2,9,1,13,1,9,1,17,5,16,1,9,1,10,1,9,1,8,1,10,1,17,1,11,1,10,1,17,3,9,1,6,2,28,2,6,1,12,1,17,1,6,1,28,10,}, {30,1,28,1,30,1,6,1,28,1,30,3,6,1,30,1,6,1,29,1,8,1,16,1,17,1,11,1,9,1,17,1,12,1,10,1,7,1,8,1,30,1,7,1,29,1,13,1,11,1,17,2,11,1,8,2,13,1,8,1,9,2,15,1,9,1,13,1,9,1,12,1,9,1,13,1,7,2,13,1,6,2,13,1,16,1,9,1,12,1,8,1,7,1,6,3,7,2,17,3,24,1,13,1,8,2,9,1,13,1,29,1,28,1,29,2,6,1,28,1,30,1,6,1,28,1,6,2,29,1,30,2,28,1,30,1,28,7,30,1,28,5,29,1,6,1,8,1,6,1,13,1,9,1,6,1,28,1,30,1,13,1,6,4,8,1,17,3,11,2,7,1,29,3,6,1,13,1,8,3,12,1,9,1,12,1,15,1,8,1,30,1,28,5,29,1,30,1,6,2,28,7,33,1,5,47,33,1,6,2,30,1,28,4,30,1,13,1,9,2,16,1,11,1,16,1,11,1,16,2,11,1,16,1,17,8,16,1,6,1,28,15,6,1,5,1373,33,2,5,1,9,2,13,1,6,1,30,1,6,1,7,1,13,1,8,1,13,1,9,2,6,1,13,2,8,1,9,3,13,6,24,2,13,1,8,2,13,1,8,1,13,1,8,2,24,1,10,1,13,1,10,1,8,1,24,1,13,1,8,4,24,1,13,1,7,1,13,1,8,3,13,1,7,2,6,1,7,1,13,3,7,1,8,1,13,1,6,1,7,1,6,1,13,2,7,3,8,3,7,2,8,1,6,1,8,1,13,1,29,1,13,1,29,1,13,2,7,1,6,1,7,2,13,3,7,1,8,1,13,1,24,1,8,1,13,1,7,1,13,1,8,1,13,4,8,1,7,1,13,1,24,2,8,1,13,1,9,1,13,1,24,1,8,1,13,1,9,1,24,1,8,2,24,1,13,1,9,1,8,1,13,1,7,1,24,1,8,1,9,1,13,1,7,1,13,3,8,1,7,1,24,1,7,1,10,1,6,1,24,1,7,1,13,2,8,1,13,2,8,1,6,1,13,1,8,1,13,1,7,1,8,1,13,2,7,1,8,1,6,1,13,1,7,1,24,1,7,2,9,1,6,1,8,1,7,2,8,1,13,1,6,1,7,1,24,1,8,1,13,1,8,2,30,1,24,1,29,1,8,1,10,1,7,1,10,1,7,1,13,2,8,1,13,2,7,1,13,2,7,1,6,1,7,1,6,1,13,1,8,1,6,1,24,1,7,1,8,3,7,1,8,1,13,2,8,2,7,2,13,1,7,1,8,1,6,1,13,1,8,1,13,1,8,3,13,1,8,1,13,1,7,2,24,1,6,2,13,2,8,1,13,2,8,2,13,1,7,1,6,1,13,2,30,1,6,1,8,1,6,1,13,1,7,1,24,1,8,2,13,1,8,1,10,1,13,1,8,1,13,1,10,1,6,1,8,3,6,1,13,1,7,1,6,2,8,1,6,1,13,1,7,1,8,1,7,1,30,1,7,1,13,2,6,1,8,1,6,1,13,1,7,1,6,2,13,2,29,1,7,1,13,2,8,1,24,1,8,1,30,1,7,2,6,3,30,1,13,1,28,1,29,1,6,2,28,1,6,1,7,1,30,1,13,1,6,1,13,5,7,1,8,1,6,1,8,1,7,2,13,1,7,1,13,1,8,1,7,1,13,1,24,1,8,1,13,1,8,2,24,2,8,1,10,1,17,1,9,1,10,1,13,3,9,1,5,285,28,15,8,1,17,2,9,1,13,2,8,1,13,2,6,1,30,1,6,1,28,4,30,2,28,1,6,4,13,1,6,1,13,2,11,1,17,2,11,1,28,7,6,1,8,1,9,1,30,1,28,41,8,1,13,3,7,1,13,1,17,5,11,1,9,1,11,1,9,1,11,1,13,2,8,1,11,1,17,5,11,1,8,1,9,1,13,1,11,1,16,1,17,1,16,1,17,1,11,1,17,2,11,1,6,1,28,1,29,1,28,1,6,1,10,1,9,1,6,2,13,1,30,1,28,7,}, {28,3,30,3,28,2,30,1,29,1,7,1,13,1,9,2,12,1,13,2,17,1,11,1,16,1,8,1,7,1,6,1,13,1,6,1,13,1,9,2,17,1,12,1,13,1,6,1,9,1,8,1,14,1,9,1,24,2,9,1,8,1,16,1,8,1,6,1,13,2,30,1,8,1,6,1,9,1,14,1,12,2,9,1,8,1,13,1,29,1,6,1,13,2,9,1,17,2,8,2,13,1,8,1,24,1,9,1,30,1,28,1,30,5,28,1,6,1,30,1,28,3,30,1,28,14,30,1,6,1,7,2,8,2,24,1,8,1,24,1,13,1,29,1,7,1,24,1,13,1,7,1,12,1,17,3,10,1,11,1,13,1,29,1,28,1,6,1,29,1,8,1,13,1,8,2,9,2,10,1,14,1,6,1,28,1,30,2,28,5,6,1,28,1,30,1,28,6,33,1,5,49,33,1,13,1,28,4,30,1,28,2,13,1,11,2,9,2,11,1,16,1,11,1,16,1,17,3,16,1,17,5,6,1,28,15,13,1,5,1370,9,1,30,1,28,1,6,1,28,1,8,1,13,4,9,1,8,1,7,1,13,2,8,1,6,1,8,1,13,1,24,1,7,1,9,1,8,1,13,1,9,1,24,1,8,3,9,1,8,2,24,1,13,2,8,1,24,1,13,1,8,1,13,1,8,1,24,1,13,1,24,1,8,3,24,1,8,1,24,1,13,1,6,1,13,3,7,1,8,1,7,1,30,1,7,3,13,3,7,1,6,1,29,1,13,2,7,2,30,1,6,1,8,1,7,2,8,1,24,1,8,1,10,1,8,1,13,2,8,1,7,2,8,1,13,1,6,1,30,2,13,1,7,1,13,4,7,2,8,1,13,1,8,1,13,1,8,1,7,1,8,2,13,1,24,1,8,1,13,1,8,1,10,2,8,1,13,1,8,1,10,2,8,2,9,1,12,1,10,1,8,2,7,1,9,1,6,1,8,2,7,3,8,2,24,1,13,2,10,1,13,1,24,3,9,2,13,1,7,1,8,1,7,1,12,1,13,1,8,1,7,1,24,1,6,1,13,1,24,1,6,1,7,1,24,2,8,1,24,1,9,1,10,1,12,1,24,1,12,1,24,1,8,1,10,1,8,1,9,1,7,1,24,2,13,1,24,2,8,1,7,1,24,1,8,1,9,1,8,1,10,1,24,1,8,1,10,1,24,2,9,1,24,1,8,1,13,1,24,1,8,1,24,1,8,2,13,7,6,1,24,1,7,2,8,3,13,2,8,1,13,2,7,1,6,1,24,1,12,1,7,2,13,1,8,2,13,1,7,1,13,1,7,1,24,1,8,1,13,1,7,1,24,1,7,1,6,1,13,2,24,1,13,1,7,1,8,1,7,1,13,1,29,1,8,1,29,1,7,1,13,2,30,1,8,1,7,2,13,1,8,3,13,1,8,4,13,1,8,1,13,1,7,2,10,1,7,1,13,1,7,1,8,1,13,1,24,1,13,3,7,1,6,1,8,1,13,4,29,1,6,2,7,1,29,1,30,1,7,2,29,1,13,1,7,2,13,2,24,1,6,1,13,1,7,1,6,1,13,1,30,1,29,1,7,1,13,1,30,1,6,2,7,2,13,2,6,1,30,1,29,1,7,1,6,2,8,1,6,1,7,1,6,1,13,3,24,1,13,2,8,1,7,1,8,1,7,1,13,1,8,1,7,2,6,1,7,1,6,1,8,1,24,1,10,1,8,1,13,1,9,1,13,4,9,1,5,280,28,15,11,1,17,1,9,1,13,1,8,1,13,4,8,1,30,1,13,1,28,1,30,1,28,3,6,1,30,2,6,1,7,1,6,1,13,2,7,1,9,2,17,2,10,1,28,7,8,2,13,1,6,1,28,41,13,4,7,1,9,1,17,3,11,1,9,1,16,1,9,1,10,1,9,1,11,1,13,1,9,1,17,5,11,1,17,1,12,1,9,2,13,1,9,1,17,1,16,3,17,3,9,1,6,1,30,1,28,1,30,1,7,1,12,1,10,1,9,1,6,1,28,9,}, {28,1,6,1,28,3,30,1,28,1,29,1,6,1,30,1,13,2,12,1,9,1,24,1,11,1,12,2,14,1,11,1,13,1,9,1,6,1,13,1,6,1,30,1,9,1,17,2,12,1,13,1,8,2,13,1,11,1,9,1,24,2,13,1,9,1,12,1,8,1,15,1,9,1,13,1,6,1,8,1,7,1,15,1,12,1,16,1,9,2,13,2,6,3,29,1,12,1,17,2,8,2,24,1,9,1,8,2,13,1,28,1,30,3,28,3,6,2,28,1,29,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,10,29,1,6,1,7,1,24,2,8,1,13,1,30,1,29,1,13,1,24,1,13,1,9,1,8,1,9,1,17,3,9,1,24,1,13,1,30,1,28,1,29,2,6,1,13,1,24,1,9,2,24,1,9,1,15,1,8,1,30,1,28,4,30,3,28,1,30,1,6,1,28,6,33,1,5,51,33,1,30,1,28,2,30,1,28,4,13,1,9,3,11,2,16,3,17,3,16,1,17,2,16,1,13,1,28,15,13,1,5,1357,33,5,13,1,33,1,9,1,6,3,13,1,9,1,13,3,8,1,7,1,13,3,8,1,13,2,24,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,8,1,10,1,8,1,13,1,9,1,13,3,10,1,7,1,24,1,8,2,24,1,8,2,12,1,8,2,24,1,13,1,8,1,13,2,6,1,8,1,7,1,24,1,13,1,8,1,13,1,29,1,13,1,6,3,29,1,30,1,6,2,29,1,24,1,13,1,29,1,7,1,13,1,8,1,13,2,8,1,13,1,8,1,13,2,24,1,13,4,7,1,24,1,7,1,24,1,6,1,24,1,13,2,7,1,8,1,13,1,7,1,6,1,7,1,8,1,7,1,13,1,24,1,8,3,13,1,10,1,24,1,8,1,24,3,10,1,7,1,8,1,24,2,8,1,12,1,8,1,9,1,24,2,9,1,8,1,24,1,12,1,8,2,9,2,24,1,9,2,24,1,13,1,24,1,12,1,24,1,8,1,13,1,10,2,8,2,13,1,9,1,24,1,10,2,13,2,9,1,6,1,24,1,13,1,24,2,13,1,24,2,8,1,7,1,24,1,8,1,24,1,8,2,10,1,13,2,9,1,24,3,13,2,24,2,8,1,24,1,8,1,13,1,8,1,10,1,13,1,8,1,12,1,10,1,12,2,24,1,12,1,24,2,9,1,10,1,13,1,24,1,13,1,24,1,10,2,11,1,8,1,24,1,10,1,8,2,24,2,10,3,7,1,17,1,24,2,10,1,8,1,9,1,8,1,7,1,8,1,13,1,8,4,24,1,8,1,24,1,8,1,10,1,8,1,10,1,13,1,24,1,7,1,8,1,9,1,8,1,24,1,8,1,13,2,6,1,8,1,9,1,13,2,24,1,13,1,8,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,10,1,24,1,7,1,8,1,13,1,8,2,24,1,13,1,24,2,8,2,13,1,8,1,13,1,8,1,13,1,8,1,7,1,8,1,6,1,8,2,24,1,13,2,24,2,7,1,30,1,8,1,7,2,13,1,6,1,29,1,13,1,6,1,13,1,6,1,13,1,8,1,7,2,29,1,7,1,8,1,7,1,13,1,7,1,13,1,6,1,13,2,30,1,9,1,30,1,6,1,13,1,6,2,7,3,13,1,6,1,13,1,29,1,13,1,29,1,30,2,6,1,13,1,6,1,13,2,8,1,13,2,8,1,7,1,9,1,7,1,13,2,8,1,13,1,9,1,13,1,30,1,29,1,7,1,8,1,6,1,13,2,9,1,7,1,30,1,13,2,11,1,5,276,33,1,28,15,9,1,17,1,8,1,9,1,28,1,8,2,13,2,6,2,30,1,28,5,30,1,6,1,7,1,6,1,7,1,30,1,13,1,6,1,29,1,8,1,16,1,17,2,13,1,28,7,13,1,10,1,13,1,29,1,28,40,30,1,11,1,13,3,9,2,11,1,17,2,11,3,9,1,13,2,9,1,11,1,12,1,11,1,17,7,8,2,13,2,11,1,16,1,9,1,12,1,17,3,9,1,13,1,28,3,6,1,16,1,9,2,28,6,30,1,28,3,}, {30,1,28,1,29,1,28,2,30,1,28,1,29,1,13,1,6,1,13,1,29,1,8,1,24,1,8,1,9,2,24,1,14,1,9,1,8,2,7,1,6,1,30,1,8,1,7,1,17,3,8,1,9,1,13,1,9,1,12,1,9,2,8,1,24,1,10,1,17,1,10,1,8,3,7,1,6,3,9,1,16,1,9,1,13,1,6,1,24,1,13,1,7,1,6,2,9,1,17,2,15,1,9,1,13,1,9,1,15,1,9,1,8,1,30,1,28,1,30,1,28,3,30,3,28,3,6,1,28,2,29,1,30,1,28,2,30,1,28,7,30,2,13,1,30,1,24,1,12,1,24,1,8,1,24,1,30,1,13,3,7,1,6,1,24,1,9,1,10,1,24,1,12,1,15,1,24,1,13,1,7,2,13,2,8,1,13,1,6,1,8,1,9,1,12,2,8,1,30,1,28,3,30,1,28,2,6,1,28,1,30,2,28,3,13,1,28,2,33,1,5,53,33,1,13,1,28,7,7,1,8,1,9,2,11,1,9,1,11,1,17,5,16,1,9,1,7,1,28,15,13,1,5,1355,13,1,28,2,30,1,6,1,30,1,7,1,13,1,8,1,29,1,8,1,13,4,7,3,13,2,7,1,10,1,7,1,24,1,10,1,8,2,9,2,8,1,24,1,8,2,24,1,13,1,24,1,9,1,8,1,9,1,10,1,7,1,8,1,9,1,24,3,8,3,24,2,13,1,8,1,13,2,8,1,13,1,8,1,30,1,8,1,7,1,6,1,13,3,7,2,6,1,29,1,13,1,6,4,8,1,13,2,7,1,13,1,6,1,13,2,7,1,8,1,13,1,7,1,13,1,6,1,24,1,8,2,6,1,8,2,7,1,8,3,7,2,8,1,13,2,8,1,24,1,13,1,24,1,8,1,24,1,7,1,24,1,8,1,24,3,8,1,10,1,24,1,13,2,8,1,24,3,13,1,24,1,10,1,8,1,9,1,8,1,10,2,9,1,12,1,10,1,24,1,8,1,17,1,8,1,13,1,24,1,13,1,9,1,13,1,10,2,9,1,10,1,12,1,24,3,9,1,12,1,9,1,10,1,24,1,10,1,13,1,9,1,10,1,9,1,10,2,24,1,10,1,11,1,24,1,9,1,24,1,9,1,8,1,9,1,24,1,10,1,9,1,10,1,9,1,10,2,8,2,12,1,24,2,17,1,10,2,9,2,8,1,12,1,10,1,24,1,10,1,9,1,12,3,17,1,12,1,10,1,12,2,10,1,24,1,10,1,12,1,10,1,24,2,10,1,24,1,9,1,8,1,9,1,24,1,9,1,24,4,10,1,24,2,17,1,9,1,12,1,17,1,24,1,13,1,10,2,24,5,12,1,24,1,9,1,24,1,10,1,24,1,8,1,10,2,24,1,10,4,8,3,7,1,6,1,10,1,8,1,24,1,8,1,24,1,8,1,24,1,8,5,29,1,24,1,6,2,7,1,24,1,7,1,8,1,24,1,8,1,9,1,8,1,11,1,24,1,10,1,24,1,8,2,13,1,8,1,13,1,8,2,13,1,24,1,8,1,7,1,24,1,10,1,7,1,13,1,6,1,9,1,8,1,13,1,7,2,10,1,7,1,6,1,13,1,8,1,6,1,7,3,13,1,7,1,13,1,30,1,13,1,30,1,7,1,6,2,29,1,6,1,7,1,6,2,13,1,30,1,8,1,6,1,29,1,24,1,7,1,13,2,6,1,30,1,13,1,7,1,6,1,7,1,6,1,7,1,6,1,7,1,28,1,13,2,7,1,8,2,13,2,7,2,6,2,29,1,8,1,30,1,7,1,13,1,30,2,28,1,30,1,28,3,13,2,28,1,9,1,13,1,9,1,13,2,5,274,28,15,9,1,17,1,9,4,13,1,8,1,6,1,7,1,6,1,28,6,29,2,6,2,7,1,8,1,6,1,7,1,13,2,11,1,17,2,11,1,28,7,8,1,9,1,13,1,28,41,6,1,8,1,13,2,8,1,11,1,9,2,11,1,16,1,9,1,10,1,9,1,13,1,9,2,11,1,12,1,17,5,12,1,17,2,9,2,6,1,8,1,13,1,8,1,16,1,8,1,17,1,11,1,17,2,11,1,30,1,28,3,13,1,12,2,7,1,28,10,}, {28,5,6,1,28,2,30,2,29,1,6,1,8,1,9,3,8,1,11,1,17,1,9,1,8,1,7,1,13,1,6,1,13,3,17,2,12,1,17,1,16,1,24,1,9,2,15,2,8,2,9,1,12,1,9,1,24,1,13,1,7,1,13,1,6,1,7,1,10,1,17,1,11,1,9,1,7,2,8,1,13,1,8,1,13,1,7,1,9,1,17,2,14,1,11,1,24,1,9,1,24,1,9,1,13,1,28,1,29,1,28,4,30,2,28,13,30,1,28,7,29,1,6,1,13,1,12,1,9,1,13,1,6,1,13,1,6,1,8,1,6,1,7,1,29,1,13,1,9,1,17,2,24,1,9,1,24,1,13,1,29,1,6,1,7,1,13,1,8,2,24,1,8,1,13,1,17,2,9,1,30,2,28,3,30,1,28,1,7,1,28,1,30,2,28,3,30,2,28,1,33,1,5,56,28,7,30,1,6,1,13,1,11,1,17,1,11,1,17,5,16,2,13,1,29,1,30,1,28,13,13,1,5,1349,30,1,28,3,30,2,28,2,30,1,6,2,13,3,7,1,8,1,24,2,8,1,13,2,24,1,13,1,7,1,24,1,13,1,12,1,10,1,8,1,24,1,12,1,8,1,9,1,13,1,9,2,8,1,10,1,24,2,8,1,24,2,13,1,24,1,10,1,8,3,10,1,8,2,12,1,24,1,9,1,13,2,7,1,29,1,7,1,6,2,8,1,24,1,6,1,7,2,24,1,6,1,7,1,13,1,6,3,7,2,8,1,6,1,7,2,29,1,6,1,13,1,29,1,13,1,24,1,13,2,6,1,8,3,24,2,13,1,24,2,7,1,9,1,8,1,13,1,12,1,13,1,24,1,13,1,8,1,24,2,10,1,13,1,10,1,7,1,24,2,8,1,13,2,8,1,7,1,12,1,8,1,10,1,24,1,8,1,12,1,24,1,9,1,10,1,13,1,10,1,17,1,8,1,13,1,24,1,8,1,24,1,13,1,10,1,9,1,10,1,11,1,8,1,9,1,17,1,9,1,10,2,8,1,13,1,10,1,9,1,24,1,17,1,10,1,24,2,8,1,10,1,17,1,12,3,24,1,12,1,10,1,9,1,12,1,13,1,17,1,24,1,8,1,17,1,8,1,10,1,12,2,9,2,17,1,12,3,17,3,12,1,24,1,17,2,12,1,17,2,12,1,24,1,17,1,12,1,24,1,10,3,12,1,13,1,10,1,12,5,24,1,17,1,12,1,17,1,10,1,12,1,10,1,12,1,24,1,12,2,8,1,24,1,8,1,24,2,12,2,24,1,12,1,24,2,12,1,10,1,12,1,24,1,9,1,7,1,24,1,17,1,24,1,12,1,24,1,10,1,12,1,10,1,24,1,10,1,12,1,8,1,24,1,10,1,17,1,9,1,12,1,9,1,8,1,12,1,24,2,10,1,8,1,13,1,10,1,17,1,24,2,10,1,9,1,10,1,7,1,24,1,10,1,8,1,7,1,10,1,24,1,8,1,24,1,8,2,12,1,10,4,24,1,10,1,8,1,13,1,8,2,13,1,24,3,13,1,8,1,13,3,7,1,13,1,8,1,7,1,13,1,6,1,24,1,7,2,8,2,13,2,8,1,13,1,6,2,8,1,7,1,13,1,6,1,7,1,13,1,29,1,6,1,29,1,7,1,6,1,8,1,29,1,7,2,6,1,13,1,6,1,13,1,6,2,8,1,7,1,13,1,7,1,8,1,30,1,8,1,13,1,6,1,13,2,8,1,30,1,7,1,6,1,13,1,7,1,6,1,29,1,13,2,6,3,7,1,6,1,13,2,29,1,30,1,6,1,29,1,30,1,7,1,28,1,7,1,28,1,6,1,28,1,29,1,28,1,30,1,7,1,28,1,13,2,10,1,9,1,8,1,9,1,6,1,9,1,5,270,33,1,28,15,9,1,17,1,11,1,10,2,13,1,7,1,8,1,13,2,28,1,30,1,28,6,30,1,6,1,13,1,30,1,6,1,7,1,6,1,13,1,7,1,9,1,17,2,13,1,28,7,9,1,13,2,28,41,13,1,8,1,6,1,9,1,7,1,9,3,16,1,9,1,30,1,6,1,9,2,12,1,17,5,12,1,16,1,17,4,11,2,9,1,8,1,13,2,9,1,10,1,11,2,17,2,9,1,28,2,29,1,30,1,13,2,16,1,6,1,28,10,}, {29,1,28,6,6,1,28,2,29,1,6,1,8,2,24,1,8,1,6,1,15,1,14,1,17,1,13,1,8,2,13,1,8,1,6,1,8,1,16,1,17,1,16,1,9,1,8,1,9,2,24,1,15,1,12,1,10,1,13,1,9,1,11,1,15,1,24,1,16,1,10,1,8,1,13,2,15,2,16,1,11,1,9,1,8,1,13,2,8,1,9,1,8,1,12,1,17,2,16,1,10,1,24,1,13,1,9,1,8,1,29,1,30,1,28,2,30,1,28,3,30,1,28,20,30,1,6,1,28,1,6,1,24,2,13,1,6,2,13,1,7,1,6,1,29,1,6,1,13,1,9,1,12,2,10,1,9,1,13,1,6,1,30,1,7,1,6,1,29,1,6,1,13,1,6,1,9,2,17,1,10,1,17,1,28,5,30,1,28,1,29,1,30,1,28,1,30,1,28,3,30,2,28,1,13,1,5,58,28,8,6,1,13,1,16,2,17,5,16,1,9,1,13,1,29,1,28,9,6,1,28,3,13,1,5,1345,33,1,13,2,30,1,6,1,30,2,28,1,6,1,7,1,13,3,8,1,13,2,8,2,9,1,8,1,24,1,13,1,24,1,9,1,13,1,24,1,9,1,10,1,8,1,10,2,24,1,8,1,10,1,9,1,24,1,10,1,9,1,24,1,11,1,13,1,24,3,8,2,10,1,13,1,8,1,24,2,8,2,24,2,8,1,13,2,8,2,7,2,13,2,7,3,13,2,8,2,7,1,29,1,8,1,7,3,29,1,7,1,6,2,30,1,13,1,6,1,13,2,6,1,24,1,8,1,13,1,24,1,8,1,24,2,8,1,10,1,8,4,13,1,10,1,24,2,8,1,24,2,8,1,9,1,12,1,13,1,9,1,24,1,10,1,24,1,10,1,9,1,10,1,8,1,10,1,9,1,10,1,8,1,10,1,9,1,24,2,9,1,10,1,13,1,10,1,24,1,8,1,10,1,24,1,12,1,13,1,10,1,12,2,9,1,8,1,11,2,8,1,24,1,12,2,8,1,12,1,9,1,12,1,9,1,24,1,17,1,24,1,12,2,24,1,12,1,10,1,24,1,12,3,17,1,10,1,17,1,10,1,12,2,11,1,9,1,17,1,12,1,10,1,12,2,9,1,17,1,24,1,17,1,12,3,17,2,10,1,17,4,12,5,17,2,24,1,12,1,9,1,17,1,24,1,17,1,10,1,17,1,12,1,17,1,12,1,17,1,12,4,17,1,12,1,17,3,24,1,12,2,24,1,12,2,8,1,10,1,8,1,12,1,8,2,12,2,10,2,24,1,13,1,24,2,12,1,24,2,8,1,12,1,10,1,12,1,10,1,17,1,12,2,8,1,10,1,24,3,10,3,8,1,10,5,13,1,24,1,12,1,24,1,13,1,8,1,12,1,10,1,8,1,24,1,10,1,24,1,7,1,8,1,13,2,10,1,13,1,10,1,24,1,10,2,9,1,24,1,12,1,9,1,12,1,10,1,7,1,24,3,7,1,24,1,13,1,24,3,13,1,8,2,24,1,8,1,10,1,7,1,10,1,8,1,13,1,24,1,8,1,6,1,13,1,8,1,13,1,7,1,13,1,6,2,7,1,6,2,13,1,6,1,13,1,7,2,6,1,29,1,30,1,13,3,6,2,7,3,6,1,7,1,8,1,24,1,8,1,6,1,13,1,6,1,8,1,6,1,13,1,8,1,6,1,7,1,13,1,29,1,6,3,13,1,7,1,13,2,7,1,6,1,7,1,8,1,6,1,29,1,13,1,30,1,13,1,28,1,30,1,28,1,30,1,6,1,28,5,6,1,30,1,28,2,13,1,7,1,29,1,17,2,8,2,9,1,11,1,5,267,28,15,11,1,17,1,11,1,9,2,13,1,6,1,13,1,6,1,28,1,29,1,28,7,30,1,7,1,29,1,30,1,29,1,6,2,13,1,8,1,11,1,17,2,13,1,28,7,9,1,11,1,30,1,28,41,13,1,8,1,13,2,9,1,13,1,10,1,11,1,13,1,28,2,13,1,9,1,11,1,9,2,11,1,17,5,11,2,17,2,11,1,9,1,24,1,9,1,8,1,13,1,8,2,11,1,17,3,9,1,28,4,8,1,11,1,9,1,6,1,28,3,30,1,28,6,}, {28,7,30,2,28,1,29,1,6,2,7,1,9,1,8,1,15,1,17,3,9,1,13,1,24,1,13,1,6,1,13,1,8,1,12,1,17,1,11,1,10,1,11,1,8,1,9,2,15,1,9,1,24,1,8,1,9,1,17,1,16,1,10,1,9,1,8,1,13,1,8,1,13,2,12,1,11,1,17,1,10,1,11,1,8,2,24,1,8,1,13,1,17,3,10,1,14,1,12,1,24,1,9,2,8,1,29,1,28,1,30,1,28,3,6,1,28,7,30,1,28,15,6,1,13,1,24,1,9,1,24,1,13,4,29,1,6,2,7,1,12,1,24,1,12,1,17,1,8,3,30,1,13,2,8,1,24,1,7,1,8,1,13,1,24,1,10,1,17,1,16,1,7,1,28,4,29,1,28,1,13,1,28,1,29,1,6,1,28,6,6,1,5,60,30,1,28,9,11,1,17,5,13,1,29,1,28,14,6,1,5,1334,33,7,28,6,13,1,28,1,6,1,30,1,6,1,13,1,8,1,13,1,9,1,7,1,13,1,8,1,24,1,13,1,24,1,8,2,12,1,24,1,12,1,10,1,24,1,10,1,12,1,9,1,10,1,24,1,8,1,12,3,24,1,9,1,10,2,9,1,8,1,12,1,9,1,12,1,13,1,24,1,11,1,7,1,24,3,8,3,7,1,8,1,13,1,24,1,13,1,6,1,30,1,13,1,7,5,6,1,7,1,29,1,6,1,7,1,6,1,13,1,7,1,8,1,6,1,8,1,7,2,8,1,6,1,13,1,7,3,13,1,24,1,8,2,24,1,9,1,10,1,8,1,24,1,13,1,9,1,8,1,9,1,12,1,9,1,10,1,12,1,8,1,12,2,13,1,9,1,10,1,12,1,10,1,12,1,10,2,12,1,8,2,17,1,10,1,17,1,12,1,10,1,8,1,17,1,12,1,10,2,11,1,17,1,11,1,10,1,12,1,17,1,11,1,12,1,24,1,12,1,10,1,9,1,24,1,9,1,10,1,24,2,9,1,24,1,12,1,17,2,9,1,12,1,10,1,12,3,17,1,12,5,10,1,12,1,17,1,12,4,17,1,12,1,24,1,12,2,17,1,11,1,17,1,10,1,17,1,10,1,12,3,17,1,11,1,12,1,17,5,12,1,17,10,12,1,17,2,10,1,17,1,12,1,17,1,10,1,17,5,12,1,17,1,12,2,17,2,12,1,10,1,17,1,12,2,10,1,9,1,10,1,12,1,24,3,10,3,24,1,17,1,24,1,10,5,8,1,10,1,13,1,17,1,12,1,24,4,10,2,12,2,24,1,12,1,24,1,12,1,24,3,10,1,8,2,10,1,24,1,12,1,24,2,12,2,9,1,24,3,8,1,12,1,17,1,13,1,8,1,24,2,10,1,24,1,10,1,24,1,12,2,24,1,8,2,12,3,24,1,10,1,8,1,13,1,8,1,13,1,24,3,8,1,24,1,13,1,7,1,24,2,13,1,24,2,13,1,9,1,13,1,8,2,24,1,7,1,10,1,8,2,24,1,8,1,13,1,8,1,29,1,13,2,6,3,13,1,8,1,7,1,6,4,24,1,29,1,13,1,6,1,13,3,24,1,13,2,7,1,13,1,6,2,30,1,6,1,13,2,6,3,7,1,6,1,13,3,6,1,13,1,6,1,13,1,6,1,29,1,30,1,29,1,7,1,6,1,29,2,28,1,6,1,28,1,6,2,13,1,28,1,29,1,30,1,29,1,6,2,30,1,6,2,13,3,9,1,8,1,9,1,5,266,28,15,11,1,17,1,16,1,13,1,9,2,6,1,13,1,29,1,30,2,28,8,13,2,28,1,6,1,7,1,6,2,8,1,17,1,16,1,17,1,13,1,28,6,30,1,13,1,8,1,30,1,28,41,9,3,13,2,8,1,13,1,28,2,6,1,13,1,9,3,8,1,13,1,9,1,11,1,17,2,11,1,9,1,16,1,10,1,12,2,17,1,8,1,24,1,13,1,8,2,9,1,8,1,9,1,17,3,9,1,28,2,30,1,6,1,13,1,9,2,28,11,}, {28,7,30,1,29,1,6,1,29,1,6,1,13,1,8,2,12,2,17,2,12,1,8,1,24,1,13,1,6,2,13,2,17,3,9,2,13,1,9,1,10,2,24,1,8,1,9,1,13,1,11,1,17,1,10,1,9,1,10,1,9,1,13,1,6,1,9,1,14,1,17,1,12,2,8,1,24,1,8,2,9,1,13,1,9,1,17,3,9,1,24,1,10,1,11,1,12,1,11,1,29,1,28,3,29,1,30,1,28,21,6,3,30,1,6,1,13,1,24,1,9,1,24,1,8,2,13,1,6,1,29,1,30,1,7,1,9,1,12,1,17,2,10,1,17,1,13,4,8,2,13,3,8,2,12,1,11,1,7,1,28,6,6,2,28,1,6,1,28,6,13,1,5,62,30,1,28,6,30,1,28,1,6,1,17,4,16,1,28,15,6,1,5,1331,33,1,13,1,28,6,30,1,28,3,30,1,29,1,7,1,13,2,9,1,13,1,9,1,10,1,8,4,13,1,8,1,13,2,10,3,9,1,17,1,9,1,12,2,24,1,12,1,9,1,8,1,9,1,11,1,10,1,12,1,24,1,8,2,10,1,24,1,9,1,24,2,9,1,8,3,11,1,24,1,8,1,24,2,8,4,13,1,8,1,7,1,13,1,6,1,7,3,29,1,6,1,7,2,13,1,7,1,8,1,6,1,13,2,7,2,8,1,6,1,29,1,13,2,6,1,13,1,8,4,24,1,8,1,24,1,10,1,8,1,24,1,9,1,24,2,9,1,8,1,9,1,24,4,17,1,12,2,10,1,9,1,12,1,17,1,10,1,17,1,12,3,17,1,12,3,17,1,10,2,12,3,24,1,10,1,24,1,17,1,24,1,11,1,10,2,24,1,12,1,9,1,12,1,10,1,12,2,24,1,12,1,8,1,12,1,13,1,24,1,11,1,10,1,9,1,12,2,9,1,10,3,12,1,10,1,17,1,10,1,12,1,17,1,12,1,24,1,17,3,12,1,17,1,12,5,17,2,12,1,17,1,12,3,17,1,12,1,17,3,24,1,17,1,12,1,17,5,12,1,17,3,12,1,17,3,12,1,17,3,10,1,12,1,17,9,12,2,10,1,17,1,12,1,17,3,12,2,17,4,10,1,12,5,8,1,10,1,24,1,17,1,10,1,12,1,17,1,10,3,12,2,10,2,24,1,17,1,10,1,17,1,24,2,12,1,8,1,17,1,12,1,24,2,12,2,8,1,10,1,12,1,17,2,12,1,8,1,12,1,9,1,10,1,24,1,12,1,24,2,10,1,12,1,10,1,24,1,8,1,12,2,8,1,9,1,12,1,24,1,12,1,8,1,17,1,8,1,10,1,24,1,12,2,24,1,12,2,10,1,24,1,12,1,10,1,12,1,17,1,24,1,12,1,24,1,9,1,24,1,8,1,12,1,13,1,8,1,10,1,8,1,24,3,13,1,8,1,10,1,9,1,24,1,13,1,24,1,10,1,13,1,10,1,8,1,13,3,6,1,7,1,8,1,7,1,6,1,7,3,13,1,6,1,7,2,13,1,7,1,13,1,6,1,30,1,7,1,24,1,8,1,29,1,13,1,29,1,7,1,8,1,13,1,8,1,7,4,6,1,8,1,30,1,13,1,7,1,8,1,6,1,7,1,13,2,29,1,6,1,29,2,13,1,7,1,28,1,29,1,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,2,29,1,28,1,30,1,6,1,30,1,6,2,30,1,9,1,13,2,9,1,16,1,5,262,28,15,16,1,17,1,11,1,9,1,13,1,8,1,6,1,7,2,30,1,28,9,30,1,29,1,28,1,6,1,28,1,30,1,6,1,11,1,9,1,17,2,13,1,28,7,8,1,24,1,30,1,28,16,29,1,28,24,9,1,8,1,13,1,6,1,13,1,29,1,28,1,30,1,6,1,9,1,11,2,10,1,9,2,30,1,9,1,17,4,10,1,9,1,12,1,17,1,12,1,9,2,13,1,8,1,13,1,8,2,11,3,17,1,12,1,7,1,28,4,13,1,8,1,13,1,6,1,28,10,}, {28,9,29,1,30,1,28,1,7,1,13,1,24,2,9,1,17,3,9,1,13,2,8,1,6,2,13,1,12,1,17,2,16,1,8,1,9,4,12,1,9,1,13,2,17,2,9,3,8,1,24,1,13,2,11,1,17,1,12,1,9,1,10,1,8,2,13,1,24,2,12,1,17,2,16,1,9,3,17,1,15,1,12,1,7,1,6,1,29,1,28,14,30,1,28,9,30,1,28,1,6,2,30,1,7,1,24,1,8,1,24,1,8,1,7,1,6,1,29,1,6,1,7,2,8,1,17,1,12,1,17,2,24,1,12,1,8,1,13,1,24,1,8,1,6,2,13,1,9,1,8,1,10,1,17,2,8,1,28,4,30,3,28,2,30,1,28,6,13,1,5,64,30,1,28,4,6,1,28,3,30,1,13,1,9,1,13,1,28,15,13,1,5,1328,33,2,13,1,28,7,30,2,28,1,6,1,13,1,7,1,13,1,8,1,13,1,8,1,9,2,24,1,13,2,24,1,13,2,10,1,24,1,11,1,24,1,11,1,10,1,24,1,11,1,10,2,12,2,24,1,10,2,9,1,12,1,10,1,24,1,8,1,10,2,24,2,12,1,13,1,24,3,8,4,10,1,24,1,13,1,8,1,7,1,8,1,13,1,8,1,13,3,7,1,13,2,6,1,8,1,6,1,13,3,24,1,29,1,8,1,13,4,8,1,13,4,8,1,7,1,8,1,10,1,8,1,10,1,24,1,8,1,9,1,24,2,10,2,11,2,8,1,9,1,12,1,10,1,24,1,12,1,10,1,17,2,10,1,17,1,12,3,17,1,10,1,12,2,17,2,12,2,17,1,10,2,17,2,12,1,17,2,12,2,17,2,24,1,12,2,24,1,11,1,12,1,10,1,9,1,10,1,11,1,9,1,10,1,12,2,17,1,12,2,10,1,9,1,12,1,17,1,12,1,10,4,12,1,9,1,17,1,9,1,10,1,12,1,10,1,12,1,17,1,12,2,17,2,12,1,17,1,9,1,17,2,10,1,17,1,12,2,17,2,12,2,17,1,8,1,12,1,17,18,12,1,17,3,10,1,17,7,12,1,17,1,12,2,17,3,12,2,17,5,12,1,17,5,12,1,17,1,10,2,17,1,9,1,12,1,17,1,12,5,10,2,12,2,10,1,24,2,17,1,12,2,24,1,10,1,24,1,12,1,10,1,12,1,17,1,24,1,12,1,8,1,10,3,12,2,10,1,24,1,10,1,8,1,7,1,12,1,9,2,12,1,8,1,17,1,24,1,12,1,10,2,24,1,12,1,24,1,12,2,24,1,17,1,8,1,10,1,12,1,10,1,24,1,10,3,12,2,24,1,9,1,10,1,17,1,10,1,12,3,10,1,12,2,10,1,12,3,10,1,8,1,24,2,13,1,8,2,24,1,8,1,7,1,13,1,10,1,29,1,7,1,13,2,8,2,7,1,8,1,6,1,13,1,7,1,24,1,13,2,8,1,24,1,8,1,24,1,8,1,24,1,6,1,13,1,8,1,13,1,29,1,13,1,8,4,7,1,13,2,8,1,13,2,6,2,24,1,30,1,7,4,29,1,13,1,29,1,7,1,13,1,28,3,6,1,29,1,30,2,6,1,30,1,6,1,28,1,30,2,28,1,30,3,29,1,30,1,6,1,29,1,30,1,13,1,6,1,13,3,5,261,28,15,14,1,17,1,16,1,10,1,9,1,13,1,6,2,30,1,28,9,30,1,6,1,13,1,6,2,28,1,6,1,8,2,17,1,11,1,17,1,13,1,28,6,6,1,8,1,6,1,28,14,30,2,28,26,9,1,17,1,9,1,13,1,28,2,13,1,9,2,16,1,11,1,16,1,9,1,8,1,13,2,9,1,16,1,17,2,10,1,11,1,17,1,11,1,10,1,12,1,8,2,6,1,30,1,13,1,9,1,10,1,9,1,12,2,17,2,7,1,28,2,30,1,28,1,6,1,9,1,8,1,28,11,}, {28,7,30,1,28,1,30,1,28,1,7,2,8,2,9,1,12,2,17,2,13,1,8,1,13,1,7,1,6,1,13,1,8,1,9,1,17,2,10,1,8,1,15,1,9,1,24,1,8,2,15,1,9,1,6,1,17,3,9,1,11,1,13,1,9,1,7,1,13,1,17,3,11,2,8,2,24,2,8,1,17,7,14,2,17,1,9,1,6,1,28,1,30,2,28,22,30,1,6,1,13,1,6,1,7,2,13,1,8,2,24,1,6,3,28,2,30,1,8,1,11,2,17,1,11,2,24,1,8,1,13,2,6,1,8,1,13,1,9,1,8,1,13,1,17,1,12,1,17,1,10,1,13,1,30,1,28,3,30,1,28,2,30,2,28,6,13,1,5,66,30,1,28,2,6,1,30,1,28,21,33,1,5,1326,28,11,7,1,6,1,13,3,9,2,8,1,13,1,8,1,13,2,8,1,24,1,13,1,11,1,8,1,10,1,12,1,10,1,9,1,10,6,24,1,10,1,24,1,10,2,12,1,24,5,11,1,8,3,13,1,24,2,8,1,13,1,24,1,8,2,24,1,8,2,7,1,13,1,24,1,7,2,13,1,7,1,13,1,7,2,6,2,7,1,13,1,24,1,13,1,29,1,8,1,6,1,7,3,8,1,7,1,13,2,24,1,7,1,8,3,24,1,13,1,24,1,13,1,12,1,24,1,8,1,10,3,12,1,9,1,12,1,9,1,10,3,17,1,9,1,17,4,12,1,17,1,12,1,17,1,12,2,17,2,12,1,17,1,12,1,10,1,12,1,17,2,24,1,17,1,12,1,17,1,24,2,17,1,24,1,12,3,10,1,12,1,9,1,10,2,12,1,9,1,17,1,9,1,12,1,10,1,17,1,24,1,9,1,10,2,9,2,12,1,8,1,17,1,13,1,11,1,12,2,17,1,12,1,10,1,12,2,17,1,12,1,10,1,12,2,24,1,12,1,17,4,12,1,17,2,12,2,17,1,10,1,12,4,17,5,12,1,17,35,12,1,17,6,12,1,17,2,12,2,10,1,12,1,17,4,9,1,17,1,12,1,17,1,12,2,17,1,12,2,9,1,10,3,12,2,10,2,17,1,10,1,17,1,10,1,9,1,12,1,10,1,12,1,17,1,24,1,12,1,10,1,24,1,8,1,17,1,24,1,10,1,9,1,10,1,12,1,10,1,8,1,17,1,12,1,24,1,12,1,8,2,17,1,24,2,10,1,24,1,8,1,12,1,24,1,12,2,10,4,9,1,10,1,17,1,12,1,11,1,12,2,24,1,10,1,12,1,17,2,12,1,9,1,12,1,10,4,12,1,10,1,9,1,10,1,12,1,10,2,8,1,13,1,12,2,10,1,24,1,13,1,8,1,7,1,8,2,13,1,6,1,7,1,13,1,10,1,13,1,8,1,13,3,7,1,10,1,8,1,6,1,13,2,7,1,13,2,8,1,7,1,6,1,8,1,29,1,6,1,8,1,13,1,8,2,24,1,7,1,13,3,29,1,6,1,7,1,29,1,13,1,7,1,13,1,6,1,13,1,30,1,6,1,13,1,7,1,30,1,13,1,30,2,6,1,28,1,29,2,30,1,28,1,30,2,7,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,13,2,9,1,5,258,28,15,14,1,17,1,16,1,9,1,8,1,13,1,6,2,13,1,6,1,28,3,30,1,28,3,30,2,29,1,30,1,6,1,28,2,13,2,9,1,16,1,17,2,6,1,28,6,13,1,8,1,24,1,28,21,30,1,28,20,8,2,9,1,13,1,30,1,9,1,17,1,16,1,17,1,11,1,13,1,9,1,6,1,13,1,6,2,8,1,17,3,12,1,17,1,12,1,17,1,10,1,9,1,8,2,7,1,8,1,13,1,12,1,15,1,9,1,11,1,17,3,30,1,28,4,30,1,9,1,24,1,28,11,}, {28,5,30,1,28,2,30,3,29,1,13,1,6,1,24,1,9,1,15,1,14,1,17,2,24,1,6,2,8,1,30,1,13,1,7,1,8,1,17,2,9,1,11,1,8,1,9,2,14,1,8,2,24,1,6,1,14,1,17,1,16,1,9,2,8,1,9,1,6,1,8,1,16,1,17,1,16,1,11,1,9,1,8,2,24,2,10,1,16,1,17,7,15,1,9,1,8,1,29,1,28,4,30,1,28,22,30,1,8,1,13,1,30,1,8,1,10,1,9,1,8,1,6,1,7,2,6,1,29,1,6,1,13,1,24,1,10,3,8,1,9,1,24,1,8,1,13,1,7,1,13,1,6,1,8,1,13,1,17,3,14,1,10,1,24,1,30,1,28,4,6,1,28,1,29,2,28,6,13,1,5,68,33,1,28,6,30,1,28,16,5,1322,33,1,13,1,28,9,6,1,7,1,13,8,8,5,10,1,13,1,9,1,24,1,12,1,10,1,17,1,12,2,10,1,9,1,10,1,9,1,10,5,9,1,10,1,9,1,12,1,8,1,9,1,8,1,10,1,8,2,24,1,8,1,24,1,8,1,24,2,8,1,7,1,8,1,24,1,8,2,13,1,30,1,13,1,7,1,13,2,8,2,7,1,13,1,8,1,7,1,13,3,8,2,7,1,13,1,6,1,24,1,7,1,6,1,8,3,13,1,9,1,24,2,8,1,9,1,24,2,12,1,10,3,9,1,24,1,12,1,24,1,10,1,24,1,9,1,10,2,12,1,10,1,17,1,10,1,12,3,17,1,12,1,10,1,12,1,17,9,11,1,17,1,12,2,17,1,12,3,17,1,9,1,17,1,24,1,12,1,10,1,12,2,17,1,12,1,10,1,17,1,24,1,8,1,17,1,10,1,12,1,10,1,8,1,12,1,24,1,12,1,9,1,24,1,10,1,12,3,17,1,10,1,12,2,10,1,12,1,11,1,17,1,12,1,24,1,17,2,10,1,12,2,17,2,12,1,17,4,12,1,17,1,10,1,17,1,12,1,17,2,9,1,17,1,12,2,17,3,12,1,17,19,12,1,17,10,12,2,17,9,12,1,17,9,12,1,17,18,12,1,17,1,12,2,10,1,17,1,12,1,10,2,12,4,17,1,12,1,10,1,17,1,24,1,12,2,10,1,12,1,17,1,12,1,17,1,12,1,24,2,17,1,10,1,24,1,12,1,24,1,10,1,12,1,8,1,17,1,8,1,12,1,24,1,12,2,9,1,10,1,12,2,10,3,12,2,17,1,12,1,10,2,17,1,12,1,10,2,12,2,10,1,8,1,12,1,9,1,24,1,12,1,10,3,24,1,12,1,24,1,10,1,24,3,7,1,6,4,8,2,10,1,24,2,13,1,24,1,13,1,7,1,10,1,13,1,9,1,8,2,13,2,8,1,13,1,7,2,8,4,13,1,8,1,6,1,8,3,24,1,13,1,8,2,13,1,7,1,13,1,6,1,13,3,6,2,29,1,28,1,6,1,29,1,7,3,29,1,28,1,6,2,30,2,7,2,6,1,29,1,6,2,30,3,28,2,30,2,28,1,30,1,28,1,30,1,5,257,28,15,17,1,16,1,11,1,13,1,9,1,13,1,7,1,6,1,29,1,30,3,28,5,30,2,28,1,29,1,28,1,30,1,28,1,13,1,8,1,11,1,16,1,17,2,30,1,28,6,13,1,9,1,6,1,28,1,30,1,28,40,30,1,28,1,8,2,13,1,16,1,17,1,11,1,13,1,6,1,30,1,6,1,28,2,30,1,13,2,17,5,9,1,10,1,9,3,8,1,7,1,13,1,24,1,10,1,12,1,16,1,12,1,16,1,17,1,12,1,28,5,30,1,17,1,8,1,30,1,28,1,30,1,28,8,}, {28,7,30,1,28,1,30,1,28,1,6,2,13,1,15,1,12,1,15,2,17,2,8,1,13,2,8,1,13,1,8,1,7,1,8,1,17,2,10,1,9,1,13,1,8,1,24,1,9,2,7,1,24,1,13,1,11,1,17,1,11,1,24,1,9,2,29,1,7,1,9,1,16,1,17,3,24,1,13,2,11,1,8,3,17,6,12,1,17,1,16,1,6,1,7,1,28,26,30,1,28,1,13,1,8,1,6,1,9,1,11,1,15,1,8,1,13,1,6,1,29,1,6,1,28,2,6,1,8,1,11,1,12,1,9,1,8,1,13,1,8,1,13,1,8,1,7,1,13,3,6,1,9,1,15,1,17,1,14,2,8,1,28,4,6,1,28,4,30,1,28,5,13,1,5,70,33,1,28,13,30,1,28,3,30,1,28,1,5,1323,13,1,28,7,30,1,6,2,8,2,13,4,8,2,13,2,24,1,8,1,24,2,13,1,12,1,24,1,17,1,11,1,17,1,9,1,17,1,10,1,12,1,10,2,17,1,10,1,24,1,12,1,9,1,24,1,10,2,8,2,10,1,13,1,12,1,24,3,13,1,8,1,24,1,13,1,8,3,6,1,13,1,24,3,13,2,8,2,13,1,8,1,13,2,8,2,6,1,7,1,13,2,24,1,7,1,13,3,6,1,8,2,13,1,9,1,8,1,9,1,8,1,12,1,24,1,7,1,13,1,12,1,24,1,9,1,12,1,24,1,12,2,9,1,17,1,12,1,10,1,17,1,12,1,9,2,12,1,17,2,11,1,17,4,12,1,17,8,12,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,10,1,17,2,12,3,17,1,12,1,17,1,10,3,17,1,12,1,10,1,17,1,12,1,10,1,12,2,24,1,12,1,17,2,10,1,17,1,8,1,17,2,12,2,17,1,12,1,24,1,12,3,10,1,12,1,10,1,13,1,12,1,10,1,9,1,17,1,10,1,17,1,8,1,17,1,9,1,10,1,12,1,10,1,17,1,12,1,10,1,12,3,17,1,10,1,17,2,12,2,17,4,12,1,17,24,11,1,17,13,12,1,17,39,12,1,17,3,11,1,17,6,12,1,17,2,11,1,17,1,12,5,10,1,12,1,10,1,12,1,24,1,10,2,12,1,24,1,12,1,10,1,17,1,24,1,12,1,10,1,12,1,24,1,9,1,12,2,9,1,12,2,24,1,12,1,10,1,12,1,17,1,24,1,10,1,12,1,24,1,17,1,24,1,12,1,10,1,24,2,12,1,9,1,12,3,9,1,10,2,13,1,12,1,8,1,12,1,24,2,13,2,24,4,10,1,24,1,13,1,8,1,24,2,13,2,6,1,13,1,29,1,8,1,6,1,8,1,13,1,6,1,8,1,13,1,8,2,7,1,13,1,8,1,7,1,8,2,13,1,7,1,8,1,13,2,8,1,6,1,30,1,29,1,13,1,29,1,6,1,13,1,29,2,7,1,30,2,28,1,6,1,30,1,28,1,7,2,29,1,28,2,6,1,28,2,7,1,29,1,28,5,30,2,28,1,6,1,30,1,7,1,28,1,5,254,28,15,17,1,11,1,10,1,8,1,13,1,8,1,6,1,13,1,6,1,29,1,28,3,30,1,28,6,30,1,29,1,6,1,7,1,13,1,9,1,17,4,29,1,28,3,30,1,28,2,13,1,9,1,13,1,28,4,30,1,29,1,13,1,29,1,9,1,13,1,9,1,10,1,13,1,6,1,8,1,6,1,29,1,30,1,6,3,30,1,28,21,7,1,17,1,9,1,11,1,17,2,9,2,6,2,28,4,6,1,29,1,17,2,16,1,17,1,11,1,10,1,17,1,10,2,13,1,8,1,30,1,7,1,13,1,9,2,16,1,17,3,11,1,28,5,6,1,17,1,13,1,28,2,30,1,28,8,}, {28,12,7,1,8,2,15,2,12,1,17,2,8,2,6,1,7,1,8,1,13,3,17,2,9,1,8,3,13,1,10,1,9,2,13,2,8,1,11,1,12,1,9,1,13,3,6,1,8,1,9,1,17,2,16,1,8,2,10,1,8,1,24,1,8,2,17,4,16,1,9,2,15,1,9,1,13,2,28,28,30,1,13,2,9,1,10,1,24,1,8,1,6,1,29,1,30,2,28,1,29,1,13,1,9,1,10,2,9,1,6,1,24,1,8,1,13,3,6,1,8,2,13,1,11,1,17,1,14,1,12,1,9,1,13,1,30,1,28,4,29,2,28,1,6,1,30,1,28,3,30,1,28,1,6,1,5,72,13,1,30,1,6,1,30,4,6,1,28,2,33,1,5,1326,13,1,33,1,13,1,6,1,13,1,28,1,30,1,28,2,30,1,7,1,13,2,9,1,8,1,13,1,8,1,13,4,8,1,13,1,7,1,9,1,7,1,13,1,10,1,8,1,24,1,17,1,10,1,9,1,10,3,12,1,10,1,12,2,24,1,11,1,10,1,24,1,10,1,9,1,24,2,9,1,24,3,8,1,9,1,8,1,13,1,24,1,9,1,10,1,13,2,8,1,13,1,8,1,6,1,7,1,24,1,13,2,7,1,13,4,7,1,8,1,13,1,24,1,8,1,6,1,13,1,8,1,13,1,8,1,24,2,10,1,8,1,10,1,24,2,8,1,10,1,8,1,10,1,24,3,17,1,10,1,11,1,12,2,17,1,9,1,17,2,12,2,17,1,12,1,17,4,9,1,17,4,12,1,17,19,12,1,17,2,10,1,17,1,10,1,11,2,12,5,11,1,10,1,11,1,24,1,10,1,11,1,24,1,8,1,10,1,24,1,8,1,13,1,10,2,12,1,10,1,17,1,12,2,10,1,12,2,17,1,12,1,10,1,12,1,10,1,17,1,12,1,17,1,12,1,24,1,17,1,10,2,17,1,24,1,8,1,11,1,8,2,9,1,24,1,8,1,13,2,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,10,1,24,1,13,1,12,1,10,1,9,1,10,1,8,1,10,1,12,2,10,1,12,2,10,1,12,1,11,2,12,1,24,1,10,1,24,1,10,1,12,1,9,1,10,1,24,1,17,1,12,1,9,1,10,1,9,1,24,2,9,1,8,1,24,1,9,2,10,1,11,2,10,1,11,2,10,2,11,1,10,2,12,3,9,1,12,1,10,1,12,2,11,1,9,1,17,1,12,3,10,1,12,1,11,1,12,3,11,1,10,2,11,2,17,1,11,1,17,1,12,2,11,2,10,1,17,1,11,1,8,1,11,2,10,1,9,1,24,1,10,1,9,1,17,1,9,2,10,1,9,1,17,1,12,2,10,1,12,1,17,1,9,1,12,3,17,2,8,1,12,2,10,1,12,2,8,1,12,1,24,2,12,1,17,1,12,9,24,1,12,2,10,1,12,1,24,1,10,1,9,1,12,1,10,1,12,2,10,1,12,3,10,1,12,2,24,1,12,1,10,3,8,1,24,1,12,1,24,1,10,2,8,3,24,2,8,1,24,1,13,1,9,1,24,1,13,1,24,1,13,1,8,1,13,2,10,1,8,2,13,2,8,2,24,1,13,1,8,1,24,1,8,1,7,1,13,2,7,1,13,2,6,1,29,2,6,1,7,1,29,1,7,1,28,1,6,1,30,1,13,1,28,1,30,2,7,2,30,2,6,2,7,1,13,1,28,1,13,1,30,2,28,1,30,1,28,4,30,1,13,1,28,1,6,1,30,1,6,1,13,1,9,1,5,251,28,15,17,1,11,2,8,2,13,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,7,30,3,28,1,8,1,10,1,12,1,17,2,16,1,28,6,30,1,10,1,13,1,8,1,6,1,8,1,9,1,11,1,17,4,11,2,9,1,8,4,9,1,10,1,9,1,30,1,13,2,28,2,30,1,28,2,6,3,13,1,33,1,28,1,30,1,28,2,30,1,6,1,30,1,28,3,30,1,28,1,13,1,11,1,17,2,9,1,8,1,13,1,28,1,29,1,28,6,30,1,16,1,17,2,10,1,9,2,10,1,9,1,8,3,7,1,13,1,8,1,14,1,12,1,8,1,17,3,12,1,30,1,28,1,30,1,28,1,30,1,8,1,10,1,9,1,30,2,28,9,}, {28,9,29,1,30,1,13,1,6,1,24,1,17,3,12,1,16,1,17,1,9,1,13,2,9,1,13,3,8,1,17,2,8,1,10,1,11,1,24,1,9,1,12,1,10,1,15,1,8,1,7,1,8,1,9,1,10,1,8,1,13,3,8,1,9,1,10,1,12,1,17,1,12,1,8,1,9,3,13,1,24,1,6,1,16,1,17,3,9,2,12,1,15,1,9,1,8,1,6,2,28,20,30,1,28,6,29,1,13,1,6,1,24,1,10,1,24,1,13,2,6,1,30,1,29,1,30,1,28,1,13,1,9,1,8,1,15,1,9,1,8,1,24,1,29,1,6,1,29,1,6,2,13,1,8,1,24,1,8,1,12,1,14,1,11,1,9,1,7,1,28,4,29,2,28,1,6,1,28,1,30,1,28,5,13,1,5,1405,33,1,13,1,5,1,28,3,30,2,6,4,7,1,24,1,13,1,7,1,13,1,9,1,7,1,13,1,7,1,8,2,24,1,8,1,13,1,8,1,24,1,10,1,8,1,10,1,24,1,9,1,10,1,9,1,12,1,9,2,12,1,10,1,24,1,12,1,17,1,8,1,12,1,24,1,9,1,11,1,9,1,10,1,9,1,24,1,9,1,24,2,10,1,8,1,24,2,13,1,24,1,13,1,8,1,13,4,7,1,8,1,13,1,6,1,7,1,13,1,8,1,6,1,13,1,7,1,8,1,7,1,8,4,24,1,13,1,7,1,8,1,24,1,10,1,8,1,24,1,10,1,8,1,11,1,8,1,10,1,12,1,24,1,12,3,17,1,12,2,17,1,12,1,17,2,10,1,12,1,17,1,10,1,12,1,17,1,12,1,17,3,12,1,10,1,17,8,12,1,17,4,12,1,10,1,17,1,12,1,10,1,17,1,12,1,17,5,11,2,10,2,17,4,12,1,17,1,12,2,13,1,9,1,17,1,9,1,12,2,8,1,12,1,10,2,17,1,12,1,17,1,12,1,10,1,12,2,10,1,17,1,10,1,12,2,8,1,10,1,9,1,24,2,9,1,12,2,17,2,10,1,12,1,24,1,10,1,8,1,11,1,24,1,10,2,24,1,10,3,8,1,24,1,10,1,9,1,24,1,8,1,9,1,11,2,12,1,9,2,12,1,10,1,24,1,9,1,17,1,12,4,10,1,9,1,12,2,11,1,12,2,9,1,12,1,11,1,10,2,12,1,9,1,12,1,11,1,10,2,24,1,12,1,10,2,9,1,11,1,9,1,10,1,8,1,10,1,9,1,10,1,12,1,11,1,12,1,11,1,12,1,11,1,9,1,10,1,9,3,12,1,9,2,11,1,10,1,12,1,11,1,17,1,12,1,10,1,12,4,10,1,11,1,12,1,17,1,10,1,11,1,17,1,12,1,17,1,12,2,17,1,12,6,17,1,11,1,12,1,11,1,10,2,9,1,11,1,9,1,10,1,17,1,10,1,17,1,10,1,17,6,12,1,17,1,10,1,17,1,10,1,12,2,9,1,17,1,9,1,12,1,24,1,12,1,10,2,12,2,17,1,10,1,17,1,12,1,17,1,10,1,17,1,12,2,8,1,10,1,24,1,10,1,12,1,10,1,12,1,17,1,10,1,17,1,10,2,17,1,12,1,10,1,17,1,10,1,12,1,10,1,12,1,17,1,24,1,17,1,10,1,17,1,12,1,24,1,10,1,11,1,24,1,10,2,9,1,11,2,6,1,12,1,10,2,6,2,8,1,13,5,8,1,24,1,13,1,7,1,8,1,7,1,8,1,24,1,13,1,8,1,13,1,24,1,8,1,7,1,6,1,24,1,7,2,13,1,8,1,28,2,7,1,13,1,6,1,7,1,6,1,30,1,29,1,30,2,28,1,6,1,29,1,30,1,6,1,7,1,30,1,7,1,6,2,30,2,6,2,29,2,28,1,29,1,28,1,30,1,28,1,6,1,30,3,7,1,28,1,9,1,5,249,28,15,17,2,10,1,9,1,13,1,6,2,13,1,28,1,30,1,28,9,6,1,30,1,6,1,28,1,7,1,9,1,10,1,17,3,11,1,28,5,30,1,28,1,13,1,11,2,17,8,9,1,10,1,9,2,8,1,13,7,5,19,13,1,30,1,6,1,30,1,9,1,16,1,11,1,6,1,30,1,6,1,29,1,28,8,6,1,17,4,10,1,8,1,9,1,10,1,9,1,8,1,13,1,29,1,7,1,24,2,12,1,17,4,9,1,28,4,6,1,7,1,17,1,8,1,28,11,}, {28,7,30,1,28,1,7,1,30,2,6,1,9,1,17,6,8,1,13,1,29,1,13,2,8,1,13,1,7,1,16,1,17,1,16,1,24,1,9,2,8,2,17,1,12,1,13,1,8,1,7,1,12,1,24,1,8,1,13,4,8,1,10,1,17,2,16,1,11,1,9,1,8,1,24,1,7,1,6,2,9,1,17,3,12,1,8,2,9,1,24,1,13,2,6,1,28,22,30,1,28,5,7,1,13,1,9,1,10,1,8,2,13,1,30,1,6,1,28,2,6,2,24,2,11,1,9,1,11,1,13,1,28,1,30,1,6,2,8,3,11,1,10,1,11,2,14,1,8,1,6,1,28,5,6,1,28,2,6,2,28,3,30,1,28,1,13,1,5,1403,13,1,6,1,28,2,6,1,30,2,6,2,13,1,6,1,8,1,13,6,8,1,13,2,8,2,24,1,8,1,24,2,10,1,24,1,10,1,24,3,9,1,24,1,10,1,9,1,10,1,9,3,10,1,12,1,10,1,24,1,9,1,12,1,8,1,24,2,10,1,12,1,10,1,24,1,13,1,24,1,8,2,13,4,7,1,6,2,8,1,6,1,13,1,30,1,7,1,13,3,8,2,6,1,13,1,8,1,7,1,8,1,7,1,10,1,13,1,10,1,24,2,10,1,28,1,8,1,24,2,10,1,24,2,10,1,8,1,12,1,17,1,12,1,17,1,10,1,17,1,12,1,17,1,12,2,17,2,12,1,17,27,12,1,17,1,11,1,17,1,12,1,17,1,12,4,17,1,12,2,11,1,8,1,17,1,9,1,24,1,17,1,12,2,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,2,17,1,10,1,9,1,17,2,9,1,12,1,24,1,9,1,12,1,17,2,12,1,9,1,10,1,12,2,17,1,24,1,8,3,9,1,8,1,9,1,24,1,8,2,10,1,8,1,24,2,13,1,10,1,9,1,11,1,10,1,24,3,9,2,8,1,10,4,24,1,12,1,10,1,9,2,10,1,12,1,9,1,10,2,9,1,12,2,9,1,12,1,17,1,11,1,12,2,11,1,12,1,10,1,12,1,10,1,11,1,17,2,10,1,11,1,9,1,17,1,9,3,10,1,12,1,8,1,10,1,9,2,10,3,11,3,17,1,12,2,10,3,13,1,10,1,12,1,10,1,12,1,9,1,12,1,11,1,9,1,17,1,9,1,12,3,17,1,12,2,10,1,12,1,10,1,12,1,17,1,10,1,11,1,10,1,12,2,17,1,12,2,17,1,12,1,17,1,11,1,17,1,10,1,12,1,11,1,17,1,12,1,17,4,12,1,11,1,12,1,11,1,10,1,9,1,17,9,12,1,17,1,12,2,17,2,8,1,17,2,12,3,9,1,17,2,12,3,24,1,17,1,9,1,10,1,24,3,12,1,10,3,17,2,12,1,10,1,12,2,10,4,24,1,12,2,24,1,12,1,17,1,8,1,12,1,17,1,10,1,17,2,11,1,8,1,17,1,24,1,10,1,12,1,8,1,10,2,24,1,10,2,13,1,9,1,10,1,13,1,8,1,24,1,8,1,13,1,8,1,13,3,24,1,8,1,24,1,29,1,13,2,8,1,13,1,7,1,8,2,7,1,30,1,6,1,29,1,13,1,29,1,7,1,30,1,6,1,30,1,6,1,7,1,6,1,7,1,28,1,6,1,7,1,6,1,30,1,29,2,30,1,13,1,29,1,28,1,30,1,28,1,6,1,30,1,13,1,6,1,28,2,6,4,7,1,28,1,30,1,6,1,13,1,5,247,28,14,13,1,17,1,11,2,8,1,30,1,13,1,6,1,13,1,6,2,28,12,6,2,10,1,16,1,17,4,30,1,28,4,30,1,6,1,11,1,17,7,11,2,9,1,11,1,9,2,13,2,5,31,16,1,13,3,30,3,28,2,30,1,28,4,29,1,11,1,17,1,16,1,17,1,9,1,10,1,9,1,8,2,13,1,29,1,7,1,13,1,9,1,12,1,9,1,16,1,17,3,8,1,28,2,30,1,28,1,29,1,13,1,17,1,9,1,30,1,28,10,}, {28,6,30,1,28,1,6,1,30,1,29,2,13,1,11,1,17,6,16,1,8,1,6,1,8,1,13,1,7,1,6,1,9,1,11,1,16,1,12,1,8,1,9,1,8,1,13,1,9,1,17,1,9,1,24,1,13,2,12,1,9,2,8,1,13,1,7,1,13,1,9,1,17,2,16,1,9,4,12,1,13,2,29,1,24,1,17,4,15,1,9,1,10,1,13,2,30,1,28,1,30,1,28,18,30,1,13,1,6,1,28,1,30,1,28,1,30,1,6,1,29,1,13,1,9,1,15,1,12,1,9,1,8,1,6,1,7,1,30,1,28,1,29,1,28,1,29,1,9,1,14,1,9,1,15,1,8,1,13,1,6,1,7,1,29,2,13,1,8,2,13,1,9,1,24,1,14,1,12,1,24,1,30,1,28,5,6,1,30,1,6,2,29,1,28,3,13,1,28,1,13,1,5,1400,30,1,28,3,6,2,28,1,13,3,9,1,7,1,6,1,13,2,8,2,24,1,8,1,13,1,8,1,13,1,7,1,13,1,8,1,24,2,6,1,9,1,8,1,10,2,24,5,10,1,9,1,10,2,12,2,9,1,12,1,24,1,9,1,24,1,9,1,8,1,12,1,24,2,10,1,24,2,10,1,13,1,9,1,13,1,8,1,13,1,8,1,7,3,13,2,30,1,7,3,13,1,7,2,9,1,13,2,7,1,24,1,8,1,24,1,8,1,24,3,9,1,10,1,9,1,8,2,24,1,10,2,17,1,10,1,17,1,12,1,17,5,12,1,17,1,12,1,17,20,10,1,12,1,17,3,12,1,17,3,12,4,11,1,17,3,9,1,17,1,12,1,17,3,12,1,17,1,12,2,17,3,12,3,10,1,12,2,17,2,12,1,17,1,12,1,8,1,12,2,10,1,12,2,10,1,17,1,24,1,17,2,10,1,12,1,10,1,12,1,10,1,17,1,12,1,10,1,9,2,8,2,9,1,8,2,9,1,24,1,10,1,8,1,9,1,13,1,8,2,9,2,10,1,8,1,24,1,10,2,9,1,10,2,17,1,12,1,11,1,10,2,9,1,12,1,10,1,12,1,11,1,9,1,10,1,9,1,17,1,12,1,17,1,11,1,17,1,10,1,12,1,11,1,10,1,11,1,10,2,9,1,12,1,9,1,12,1,17,1,12,1,17,2,11,1,10,1,12,2,24,1,11,2,10,1,12,1,17,1,10,1,12,1,8,1,12,1,24,1,9,8,11,1,12,1,24,1,9,3,11,1,12,1,11,3,12,1,11,1,12,1,10,1,11,2,12,1,11,2,10,1,12,1,11,1,17,1,11,1,17,1,11,1,17,2,12,1,17,2,12,1,17,2,12,1,17,1,11,1,17,2,12,1,17,2,12,1,11,1,17,2,12,3,17,2,12,1,10,1,11,1,12,1,11,1,17,11,9,1,12,1,17,1,12,3,17,2,10,3,17,1,9,1,10,2,12,1,10,1,12,1,10,2,24,2,12,1,10,1,12,2,9,1,12,1,10,1,17,1,12,2,10,1,17,2,12,1,17,1,24,1,17,1,12,1,10,1,17,2,12,5,10,1,17,3,9,1,17,1,12,2,17,1,8,1,24,1,10,1,8,1,24,1,10,1,24,1,13,1,9,1,12,1,13,1,24,1,13,1,9,1,8,2,6,1,8,1,13,4,30,1,13,1,29,1,6,1,13,2,7,1,13,1,29,1,28,1,7,1,6,2,7,2,6,1,30,2,7,1,30,1,13,1,28,1,29,1,30,2,7,1,6,1,28,1,30,2,29,1,6,1,30,1,6,1,30,1,28,1,7,1,29,1,30,3,6,1,9,1,13,1,9,1,33,1,5,242,28,14,13,1,17,2,9,1,8,1,6,3,13,1,6,2,28,10,30,1,28,2,13,1,9,1,12,1,17,4,30,1,28,4,6,1,13,1,17,8,12,1,9,3,13,1,5,37,13,1,28,10,13,1,16,1,17,1,16,1,11,2,9,1,8,1,12,1,13,3,6,1,13,1,8,1,9,1,17,5,8,1,28,5,13,1,12,1,8,1,28,11,}, {28,5,30,1,28,1,6,1,28,1,30,3,13,1,8,1,9,1,17,5,8,1,6,1,7,2,13,2,7,1,13,1,24,1,11,1,24,1,9,1,8,3,9,1,10,1,8,1,9,1,13,1,9,1,12,1,10,1,13,2,6,1,8,1,7,1,9,1,10,1,17,2,11,1,9,1,13,1,11,1,24,1,8,2,7,1,9,1,17,3,11,1,9,1,8,1,10,1,9,1,8,1,30,1,28,20,30,1,28,4,30,1,28,1,13,2,7,1,24,1,15,1,14,1,10,1,13,1,29,1,6,1,29,1,30,1,28,2,6,1,8,1,10,1,14,1,10,1,9,1,6,2,28,1,6,3,8,4,10,1,24,1,14,1,15,1,13,1,28,5,6,1,29,1,28,2,6,1,28,3,13,1,28,1,30,1,5,1395,33,3,13,1,28,3,6,1,13,5,7,1,13,1,8,1,7,1,13,2,8,2,13,3,29,1,8,1,13,1,8,1,13,3,8,1,24,1,8,1,9,1,24,5,8,1,13,1,10,3,8,2,24,1,10,1,12,1,9,1,10,1,9,1,12,1,10,1,24,1,11,2,24,2,8,1,24,1,8,2,13,1,7,2,6,1,13,1,6,3,7,2,6,1,7,1,13,3,8,1,24,1,9,1,8,1,9,1,24,1,8,3,11,1,9,1,12,1,8,1,12,2,28,1,13,1,17,2,12,2,17,11,12,2,17,21,12,1,17,6,12,1,17,3,12,4,17,3,12,2,17,3,12,1,17,6,12,2,17,5,12,2,17,4,9,1,12,2,10,1,12,1,17,1,12,2,17,1,12,2,10,1,8,3,24,1,7,1,24,1,8,1,7,1,9,1,24,3,8,1,10,1,8,1,10,1,24,1,9,1,13,1,9,1,12,1,9,1,24,1,8,1,10,1,9,1,11,1,24,1,9,1,10,1,12,1,10,2,24,1,9,1,10,1,12,1,10,1,11,1,12,1,17,1,11,1,12,1,17,2,10,1,12,3,10,1,17,1,9,1,10,1,12,4,17,1,12,2,17,1,12,1,11,1,9,1,10,1,12,1,11,1,12,1,11,1,12,1,11,2,10,1,12,1,11,1,10,1,11,3,10,1,8,1,10,1,8,1,24,1,9,1,12,1,10,1,9,2,10,1,12,1,10,1,17,1,10,1,11,4,10,1,12,1,11,1,12,2,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,8,11,1,17,5,12,1,17,1,12,1,17,5,11,1,17,1,12,1,10,2,17,10,12,1,17,3,12,1,17,4,12,2,10,1,12,1,10,1,24,1,12,1,24,1,12,1,24,1,10,1,24,4,12,1,9,2,12,3,13,1,10,1,17,1,10,1,12,1,17,2,12,2,9,1,12,1,17,1,12,1,17,2,12,1,10,1,12,2,17,1,10,2,17,1,12,1,10,1,12,1,24,1,12,1,24,1,10,1,12,2,24,1,17,1,13,1,10,1,24,1,12,1,8,3,10,1,13,1,10,1,7,1,13,2,6,1,13,1,29,1,13,1,30,1,6,1,7,1,6,2,7,1,13,1,30,1,7,1,6,1,7,2,29,1,6,1,13,1,6,1,7,1,8,2,6,1,13,1,7,1,29,1,30,1,28,1,30,1,6,1,28,2,30,1,7,1,28,2,30,2,29,1,6,1,28,2,7,1,28,1,30,1,28,1,6,1,13,1,9,1,5,239,28,14,29,1,17,1,12,1,9,1,8,1,7,1,6,1,29,1,6,2,28,2,30,1,28,8,29,1,28,2,13,1,9,1,16,1,17,3,16,1,6,2,30,1,6,2,13,1,8,1,17,4,16,1,17,1,12,1,11,1,9,2,16,1,11,1,5,39,16,1,28,6,30,1,28,2,13,1,17,2,9,1,10,1,9,3,13,1,9,1,13,1,7,1,13,1,8,2,12,1,9,1,12,2,17,2,24,1,28,4,30,1,8,1,9,2,28,11,}, {28,6,6,2,29,1,6,1,29,1,28,1,7,1,6,1,9,1,17,6,9,1,30,1,7,1,13,1,8,1,7,1,13,1,17,3,11,1,8,1,9,1,13,1,17,1,24,1,10,1,13,1,6,1,8,1,10,1,13,2,8,1,6,1,13,3,8,1,17,1,12,1,11,1,13,1,9,1,24,3,13,1,24,2,17,2,10,1,12,1,13,1,12,1,9,2,13,1,29,2,28,15,30,1,6,2,29,2,28,5,13,1,30,1,6,1,8,1,9,1,15,1,14,1,24,1,6,1,13,1,30,1,29,1,30,2,28,2,13,1,24,1,15,1,14,1,10,1,8,1,30,1,28,1,29,1,6,2,13,2,29,1,7,1,8,1,15,1,14,1,9,1,28,6,6,2,29,1,28,1,6,1,28,3,6,1,28,2,5,1392,13,2,28,6,30,1,6,1,7,2,8,2,7,1,13,2,8,1,24,1,8,2,13,1,7,1,13,2,24,1,8,1,7,1,8,4,24,1,8,1,9,1,8,1,9,2,10,1,24,2,10,1,24,3,10,1,24,1,9,1,24,1,12,1,24,1,8,1,9,2,10,2,8,1,9,1,10,1,8,1,24,1,9,1,24,1,13,4,7,5,13,1,7,1,6,1,13,1,7,1,13,1,6,1,8,1,13,1,8,1,9,1,13,1,8,2,9,1,11,1,13,1,8,1,13,1,8,2,9,1,13,1,9,2,29,1,8,1,12,1,11,1,10,2,9,1,17,1,9,1,12,1,17,1,12,1,17,26,10,1,12,1,17,3,12,1,17,1,12,4,17,1,12,1,17,1,12,1,17,1,12,2,17,3,12,1,17,1,12,1,17,6,10,1,9,1,17,1,11,1,12,3,17,1,12,1,24,1,17,1,9,1,12,3,8,1,17,1,12,3,8,1,24,1,13,1,24,1,13,1,8,2,9,1,7,1,8,1,24,1,10,1,13,1,9,1,10,1,8,2,10,1,9,4,24,1,10,1,9,1,24,1,10,2,8,1,9,2,10,1,9,1,10,1,17,1,10,1,11,1,9,2,17,1,10,1,9,1,11,2,17,1,12,1,10,1,12,1,11,1,17,1,12,1,17,1,10,1,12,1,11,1,12,5,11,1,10,2,12,2,11,1,9,1,17,3,11,1,17,1,11,1,12,1,11,2,12,2,10,1,12,2,17,5,10,1,17,1,12,2,11,1,17,1,11,1,9,1,10,1,11,2,10,2,11,2,9,1,11,3,10,2,9,1,17,1,10,1,12,1,9,1,12,2,17,4,12,1,17,1,11,1,17,3,12,1,17,3,12,1,17,4,12,1,17,2,11,1,17,1,12,1,17,10,10,1,17,6,12,1,17,10,11,1,12,3,17,2,12,1,24,2,10,1,12,1,10,1,8,1,17,1,8,1,12,1,10,1,24,1,8,1,10,1,12,1,10,1,17,1,12,4,17,1,9,3,12,1,17,1,9,1,12,1,10,1,12,1,17,1,24,1,12,4,17,1,12,2,17,2,10,1,17,1,12,4,8,1,11,1,24,1,9,1,24,1,8,1,9,1,24,1,10,1,24,1,10,1,24,1,13,1,24,1,8,2,7,1,8,1,13,1,8,1,6,1,7,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,8,1,6,1,30,1,29,1,6,1,13,2,7,1,6,4,29,1,28,1,13,1,6,1,29,1,8,1,7,1,28,1,6,2,29,1,28,1,30,1,29,1,30,1,7,1,6,1,30,2,28,2,6,1,30,1,28,1,13,2,9,1,13,2,33,1,5,233,28,14,6,1,17,2,9,1,8,1,13,3,9,1,6,2,28,1,6,1,30,2,28,4,29,1,28,1,29,1,30,1,29,1,9,2,16,1,17,4,16,1,17,1,16,1,17,1,16,1,17,6,16,1,17,1,9,3,5,43,28,9,8,1,17,2,12,1,10,1,24,1,9,1,13,1,9,1,8,3,13,2,24,1,10,1,17,1,10,1,12,1,17,2,8,1,28,4,30,1,9,1,8,1,24,1,30,1,28,10,}, {28,5,30,1,29,1,30,2,28,1,6,1,28,1,7,1,13,2,9,1,17,5,13,1,6,1,13,3,6,1,8,1,17,3,9,1,12,1,10,1,12,1,17,1,10,1,24,1,8,1,13,2,12,1,9,1,13,3,7,1,13,2,24,1,17,3,9,2,8,1,24,1,13,1,8,1,7,1,24,1,17,4,24,1,13,1,10,1,9,1,13,1,30,1,28,15,29,2,28,9,30,1,28,1,29,1,6,1,8,1,17,1,14,1,12,1,8,1,6,1,28,1,30,1,28,2,29,2,13,1,10,1,14,2,24,1,8,1,6,1,13,1,30,1,7,1,8,1,13,3,24,2,15,1,14,1,8,1,29,1,28,1,30,1,28,3,30,1,6,2,13,1,6,1,28,3,29,1,28,2,5,1389,33,1,13,1,28,8,30,1,13,1,7,1,13,1,7,2,10,1,8,3,6,1,24,1,8,3,13,1,8,1,24,1,13,1,24,2,8,3,13,1,8,1,24,3,12,1,24,1,10,1,8,1,10,1,24,1,8,2,10,1,24,1,8,2,24,1,10,1,24,2,10,1,24,1,9,1,8,1,10,1,24,3,13,1,7,1,8,1,7,1,13,1,6,1,7,1,6,3,8,1,7,2,13,1,7,1,13,2,24,1,8,1,13,1,24,1,9,1,24,1,9,2,11,1,9,1,8,1,13,1,8,1,9,4,11,1,10,2,17,2,12,1,10,1,12,1,17,1,10,1,12,2,11,2,12,1,11,2,17,24,12,1,17,3,12,4,17,1,12,1,17,9,10,1,12,1,17,6,12,1,17,1,12,1,17,6,24,1,17,1,12,1,11,1,17,1,12,1,17,1,12,2,17,1,9,1,24,2,9,1,13,1,10,1,8,2,24,1,8,2,24,4,9,1,24,1,12,1,10,1,24,2,9,1,10,2,24,1,10,2,24,1,9,1,10,1,9,3,24,1,9,1,11,1,9,1,10,1,8,1,10,1,9,2,10,3,12,1,11,1,12,1,8,1,9,1,12,2,10,2,9,1,17,1,11,1,12,1,9,1,12,2,17,1,12,1,10,2,11,2,8,1,17,2,11,1,12,1,11,2,12,1,17,2,10,1,12,1,17,1,12,1,17,4,11,2,12,1,11,1,12,1,17,2,10,2,12,1,11,1,17,1,11,1,9,1,11,1,12,1,11,1,12,1,9,1,11,1,12,1,11,3,10,2,11,1,17,2,12,1,11,1,12,2,11,1,12,2,11,1,17,2,11,1,17,12,11,1,17,4,12,1,17,9,11,1,17,1,12,1,10,1,12,1,17,1,12,1,11,1,17,1,12,1,8,1,12,1,11,1,12,1,17,9,9,1,17,1,12,1,17,1,12,1,24,1,10,1,12,1,24,2,12,1,24,1,9,1,24,1,10,1,9,1,10,1,12,1,8,1,10,1,8,1,10,3,12,3,17,1,12,1,24,1,12,1,10,1,24,1,17,2,9,1,17,2,12,2,17,1,12,1,17,2,12,1,11,1,12,1,10,2,9,1,12,1,8,1,10,1,11,1,24,1,17,1,13,1,8,1,24,1,13,1,8,1,10,1,8,1,9,1,8,1,12,1,8,1,7,1,8,1,13,1,8,1,6,1,13,2,29,1,7,1,6,1,7,1,13,1,30,1,8,2,7,1,29,1,7,1,6,1,7,1,24,1,6,1,7,1,13,1,7,1,30,1,6,2,28,1,7,1,6,1,30,1,29,1,30,1,6,4,30,2,29,1,6,2,28,1,30,2,28,3,7,2,28,1,30,1,28,3,33,1,5,230,28,14,8,1,17,2,13,1,9,1,8,1,13,2,8,1,13,1,30,3,28,1,30,1,28,1,30,1,28,3,30,1,6,1,29,1,13,2,9,1,16,1,17,14,16,1,11,1,10,1,16,1,9,1,5,44,28,9,9,1,17,3,9,1,12,2,9,2,13,1,7,1,30,1,29,1,13,1,8,1,14,1,9,3,12,1,17,1,13,1,28,4,30,1,9,1,24,1,8,1,28,1,30,1,28,9,}, {28,7,7,1,29,2,28,1,7,1,6,1,13,1,24,1,13,1,12,1,17,4,13,4,6,1,8,1,9,1,16,1,17,1,12,1,9,1,8,1,9,1,17,1,12,2,17,1,8,1,28,1,9,1,8,1,12,1,13,1,6,2,8,1,6,2,24,1,17,3,9,1,10,1,9,1,24,2,9,2,8,1,17,1,11,1,8,1,9,1,8,2,11,1,9,1,13,1,30,1,29,1,28,11,30,1,6,2,28,13,30,2,24,1,9,1,14,1,10,1,9,1,6,1,30,3,28,2,6,1,13,1,10,1,14,1,11,1,24,1,8,1,6,2,7,1,29,1,6,1,8,1,6,1,13,1,9,1,12,1,10,1,14,2,29,1,28,4,6,1,29,2,30,1,6,2,30,1,28,2,29,1,28,2,5,1386,33,1,28,8,30,2,6,1,30,1,13,2,7,1,13,2,7,1,9,1,13,1,10,1,13,1,8,1,24,1,8,1,13,1,8,1,7,1,8,1,13,1,8,2,13,1,8,1,24,1,8,1,24,1,8,1,24,3,10,2,24,1,10,1,24,5,10,2,24,4,8,1,12,1,24,1,12,1,24,2,8,1,13,1,7,3,6,2,13,1,7,1,29,1,13,1,8,1,7,1,13,4,9,1,24,1,9,1,8,2,13,2,7,1,24,1,13,1,9,2,10,1,11,2,9,1,11,6,17,3,10,1,12,1,11,1,17,1,12,1,17,3,11,1,12,1,17,1,11,3,12,1,11,1,12,2,11,1,12,5,11,2,12,1,10,1,9,2,11,1,10,1,24,1,11,1,10,1,13,1,9,2,8,1,9,1,11,1,9,1,10,1,9,1,13,1,10,1,13,1,8,1,9,1,8,1,7,1,11,1,9,2,8,1,24,1,8,1,24,1,9,1,24,1,11,1,8,1,24,1,8,1,9,1,10,1,13,1,9,1,8,1,9,2,10,1,24,1,8,2,10,1,13,1,10,1,24,5,8,1,24,1,10,1,11,2,8,1,11,1,10,2,24,2,9,1,12,1,9,1,8,1,10,1,24,1,12,1,9,2,8,1,9,2,24,1,9,1,24,1,10,1,9,1,24,1,9,3,24,1,9,1,10,1,8,1,9,2,10,1,8,1,9,1,11,1,10,2,11,1,10,2,12,1,17,1,10,1,17,2,11,1,10,1,17,1,12,1,11,1,9,1,10,2,11,2,10,2,12,1,11,1,17,3,12,1,17,3,11,1,12,2,17,4,11,1,12,1,17,3,12,1,17,1,12,1,17,1,10,1,17,2,12,1,17,1,12,1,17,1,9,1,12,1,9,1,10,1,11,3,12,2,11,1,17,1,11,1,12,1,11,1,12,1,9,1,12,1,10,2,17,1,12,1,17,1,10,1,17,2,12,1,17,2,11,2,12,1,17,1,11,1,12,4,17,5,11,1,17,1,12,1,17,9,11,1,17,1,12,1,17,4,12,2,17,2,11,1,12,1,11,1,12,1,17,1,12,4,17,5,10,2,17,1,12,2,10,5,8,1,12,1,10,1,12,1,17,2,12,1,17,3,12,1,17,3,10,1,12,2,17,1,10,1,17,1,24,1,12,1,24,1,17,1,12,1,24,1,17,2,10,1,17,4,12,1,17,1,12,1,17,1,11,1,10,1,9,1,11,1,24,1,10,1,24,2,17,1,12,1,24,1,8,1,9,1,24,1,9,1,24,1,10,1,8,1,24,1,8,3,24,1,13,1,7,1,24,2,6,1,13,1,7,5,13,1,8,1,6,1,13,1,8,1,7,2,13,1,30,1,13,1,30,1,29,2,6,1,29,2,6,1,29,1,28,2,7,1,6,1,28,1,6,2,30,2,28,1,7,1,6,1,28,1,6,2,30,3,28,2,30,1,28,1,30,1,28,1,13,2,5,228,28,14,17,2,16,1,11,1,8,2,13,1,8,1,13,3,6,1,30,1,29,1,6,1,30,1,28,4,13,1,6,2,13,1,8,1,9,1,17,11,16,1,9,1,11,3,16,1,11,1,9,1,11,1,5,44,28,2,29,1,28,4,29,1,28,1,9,1,17,3,10,2,24,3,13,1,6,1,30,2,6,1,13,1,9,1,10,1,15,1,11,1,12,1,17,1,13,1,28,5,9,2,7,1,28,11,}, {28,6,30,1,29,2,30,2,28,1,6,3,13,1,10,2,17,3,9,1,8,2,7,1,13,1,6,2,17,3,10,2,9,1,17,1,12,1,16,1,10,1,9,1,13,1,24,1,10,1,9,1,13,1,8,1,6,1,30,1,7,1,28,1,9,1,17,4,12,2,8,1,24,2,13,1,24,1,17,2,12,1,24,1,9,2,24,2,8,1,7,1,28,11,30,1,28,18,6,1,8,1,10,1,24,1,8,1,6,1,30,2,28,4,6,1,9,1,14,1,17,1,8,1,13,1,6,1,30,1,13,1,29,1,8,2,6,1,8,1,6,1,24,1,9,1,8,1,24,1,28,6,7,1,13,1,7,1,28,1,7,1,30,1,28,1,29,1,28,3,33,1,5,1384,30,1,28,6,6,1,28,1,6,2,13,1,6,1,7,3,13,2,24,1,13,1,24,1,13,2,8,1,13,1,24,2,8,1,10,1,24,1,8,1,13,1,8,1,10,1,24,1,13,1,8,1,13,1,24,2,10,1,8,1,24,2,13,1,10,1,8,2,10,1,7,1,10,1,24,1,8,1,24,1,10,1,9,1,12,1,9,1,24,1,10,1,8,2,7,1,6,1,13,1,6,1,13,1,7,1,6,1,7,1,6,1,7,1,29,1,7,3,13,2,24,1,13,1,9,1,10,3,24,1,10,1,13,2,9,1,8,1,10,1,9,2,11,2,17,9,12,1,17,1,12,1,17,4,12,1,17,7,12,1,17,2,12,2,10,2,11,1,10,1,11,2,9,1,12,1,11,1,9,1,11,4,9,1,11,1,9,1,11,1,10,1,9,1,10,3,9,1,24,1,10,1,8,2,11,1,7,1,8,1,9,2,8,1,9,1,8,1,24,2,9,1,8,1,12,1,24,1,9,1,24,1,9,1,24,1,9,1,8,1,24,1,9,1,24,1,8,1,9,1,8,1,10,1,13,1,9,1,8,2,24,1,8,2,24,1,13,1,8,1,10,1,24,1,9,1,10,1,24,1,10,2,8,1,24,1,10,1,9,1,12,1,8,1,9,1,10,1,9,2,10,1,9,1,10,1,9,2,8,1,11,1,9,1,10,1,24,1,9,2,8,1,10,1,9,1,24,1,9,1,10,2,8,2,11,1,10,2,11,1,10,1,9,1,17,1,10,2,12,1,17,1,10,1,11,1,10,1,11,1,17,1,11,1,12,5,17,1,10,1,12,1,11,1,12,2,10,1,17,5,12,1,11,1,17,2,12,1,17,1,11,1,17,2,12,3,17,2,12,1,11,1,17,1,12,1,17,1,11,1,17,1,11,1,12,1,17,1,9,1,11,1,12,1,11,3,12,1,10,1,17,3,11,1,17,1,10,1,11,1,17,1,12,1,10,1,17,1,12,2,17,1,10,1,11,4,12,1,17,1,12,2,11,1,17,7,11,1,17,2,11,1,17,16,12,1,17,3,12,1,17,6,12,1,11,1,17,1,12,1,17,11,11,1,10,1,12,2,10,1,12,1,24,1,17,1,12,1,24,1,17,2,12,1,17,1,12,1,10,1,17,3,12,2,17,1,24,2,12,2,24,1,10,1,12,1,24,1,12,2,8,1,12,2,17,3,12,1,17,1,12,2,10,1,12,1,10,1,12,1,24,1,12,1,10,1,12,1,10,1,24,1,12,2,10,1,12,1,10,1,24,1,13,1,24,2,9,1,8,1,13,1,8,2,24,1,13,1,8,2,13,2,7,1,13,1,6,1,7,1,13,4,6,1,7,3,6,1,7,1,29,1,13,1,6,4,30,1,6,1,28,1,30,1,7,1,28,1,7,1,29,1,28,2,29,1,28,1,29,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,30,2,6,2,28,1,13,1,33,1,5,224,28,14,10,1,17,2,11,1,13,3,8,1,13,2,29,1,7,1,30,2,28,2,30,1,28,1,6,1,30,1,6,1,13,1,6,1,9,3,16,1,17,10,11,2,9,1,10,1,9,1,13,1,11,1,5,46,28,6,30,1,28,1,29,1,8,1,14,1,17,1,11,1,9,2,13,1,8,2,6,1,28,2,29,1,30,1,8,1,9,2,24,1,8,1,12,1,17,1,13,1,30,1,28,3,8,1,9,2,13,1,28,11,}, {28,6,6,1,30,1,6,1,30,2,29,1,30,1,6,1,7,1,8,1,7,1,12,1,9,1,17,2,8,1,6,1,24,1,13,2,7,2,17,3,9,3,12,1,10,1,12,1,9,1,8,2,10,1,9,3,7,1,13,2,8,1,6,1,8,1,17,4,16,1,13,1,8,1,9,1,7,1,24,1,12,1,11,1,17,1,9,2,8,1,24,1,9,1,24,1,13,1,6,1,28,9,30,1,28,1,30,1,28,11,30,1,28,5,29,1,6,1,7,1,17,1,7,1,10,1,6,1,30,1,28,1,29,1,28,3,13,1,9,1,14,1,17,1,9,1,8,1,6,1,30,1,6,1,29,1,13,1,8,1,13,1,8,4,11,2,29,1,28,4,29,1,30,2,29,1,30,2,28,3,6,1,28,2,33,1,5,1380,33,1,13,1,28,6,30,1,28,1,29,1,13,1,6,1,13,1,30,1,6,1,30,1,29,1,8,1,13,1,24,1,13,1,8,2,9,1,13,1,24,1,8,1,9,2,13,1,9,2,8,1,24,6,9,1,24,1,10,1,8,1,24,2,10,1,24,1,10,1,24,4,8,1,24,2,10,1,9,1,24,1,8,1,13,1,24,1,29,1,7,1,8,1,6,1,7,2,6,1,7,1,29,1,6,1,13,1,6,1,13,4,8,1,24,2,8,1,24,2,10,1,24,1,9,1,13,1,9,3,11,1,9,1,12,1,11,2,17,34,12,1,10,1,12,2,11,1,12,1,11,1,17,2,12,3,10,1,12,1,10,1,9,1,10,2,12,1,10,1,11,1,12,1,10,1,9,1,12,1,9,3,24,1,13,1,10,1,8,1,24,1,8,1,10,2,9,2,10,1,9,3,24,1,9,1,24,1,8,1,11,1,8,1,9,1,8,1,10,1,9,2,8,1,24,1,9,1,8,1,24,1,9,1,8,2,12,1,24,3,12,1,24,1,9,1,10,1,9,1,12,1,10,1,24,1,10,2,12,1,9,1,11,1,9,1,11,1,10,1,9,2,10,1,9,1,10,1,8,1,11,1,12,1,10,1,9,1,12,1,11,1,12,2,10,1,17,1,11,1,12,1,10,1,9,1,24,1,10,1,12,2,17,1,11,3,17,1,11,1,12,2,17,1,11,2,17,1,11,4,10,1,11,1,17,1,10,2,9,1,17,1,12,2,17,5,12,1,17,1,12,2,11,1,12,3,17,1,12,2,17,1,10,1,17,3,12,1,17,6,11,1,12,1,17,1,11,4,17,2,11,1,12,1,11,1,17,3,11,4,12,1,11,1,17,1,9,1,11,1,12,1,11,2,17,2,10,1,11,3,12,2,17,1,11,1,12,1,11,1,17,7,12,1,17,3,12,1,17,4,12,1,17,6,11,1,17,6,12,1,17,6,11,1,17,12,9,1,17,1,12,1,17,1,12,2,11,1,17,1,12,1,17,5,10,1,17,1,12,1,9,1,10,2,17,1,9,1,11,1,12,1,17,1,24,1,12,1,10,2,12,1,24,1,12,3,9,1,10,1,17,4,9,1,12,1,10,2,12,1,24,1,12,1,17,1,24,1,17,1,10,2,12,1,10,1,24,1,12,1,10,1,13,1,24,2,10,2,24,1,12,1,13,1,8,1,13,2,8,1,24,1,7,1,8,1,13,1,29,1,24,1,13,2,9,1,13,1,7,4,6,1,7,1,6,2,30,1,7,1,6,2,30,1,6,1,29,1,6,1,29,3,28,1,6,1,28,2,30,1,28,2,29,1,6,1,29,1,6,1,29,1,7,1,30,1,28,1,30,2,28,5,13,1,33,1,5,222,28,14,11,1,17,1,16,1,11,1,9,3,8,2,13,1,28,2,30,1,6,1,29,1,30,2,6,1,30,1,6,1,7,2,13,1,9,1,10,1,9,1,16,1,9,1,17,8,16,1,9,2,16,1,8,1,13,1,5,47,6,1,28,4,30,1,28,3,30,1,8,1,17,2,16,1,9,4,7,1,30,1,6,1,28,1,30,1,6,1,13,2,10,1,8,1,16,1,17,2,13,1,28,4,30,1,8,1,11,1,7,1,28,11,}, {28,2,30,1,28,3,30,1,28,4,29,2,6,1,7,1,24,1,8,1,24,1,17,2,9,1,10,1,9,1,24,2,8,2,13,1,17,3,9,1,16,1,9,1,17,1,12,1,17,2,10,1,7,1,8,1,9,1,11,1,9,1,6,1,13,1,6,1,7,1,13,1,9,1,17,4,9,1,8,1,13,3,24,1,12,1,17,2,9,1,12,1,9,1,24,1,10,1,15,1,9,1,13,1,28,9,30,1,28,20,30,1,8,1,15,1,9,2,8,1,29,1,28,4,30,1,7,1,8,2,14,1,8,1,6,1,7,2,6,1,29,1,7,1,13,1,6,1,8,1,9,1,8,1,12,2,14,1,30,1,28,5,29,1,30,1,29,1,28,2,30,1,28,2,6,1,29,1,28,1,33,1,5,1379,28,3,30,1,28,2,30,2,7,1,6,1,13,3,7,2,29,1,6,3,8,3,13,1,8,1,24,1,12,1,8,1,10,1,8,2,24,2,9,1,8,2,10,1,8,1,24,1,13,1,7,1,8,1,24,2,8,1,24,1,10,1,24,3,10,1,24,1,8,2,24,2,9,1,24,1,8,1,24,1,8,1,7,1,6,3,13,3,6,2,28,1,7,2,13,1,7,3,13,2,24,1,8,1,24,2,10,1,9,1,12,1,17,1,9,5,11,2,17,2,11,1,17,12,9,1,17,23,12,1,17,4,12,1,17,1,12,2,17,1,12,2,9,2,17,1,9,1,11,1,10,1,9,1,10,1,11,1,10,1,9,1,10,1,9,1,8,1,10,1,9,1,8,2,10,1,13,1,24,1,10,1,9,3,10,1,11,1,10,1,9,2,24,1,9,2,10,1,8,1,9,2,24,1,10,2,9,3,11,1,10,1,9,1,10,1,24,1,9,1,24,1,12,1,10,1,11,1,12,1,10,1,9,1,10,1,12,1,17,1,24,1,9,1,11,1,12,1,11,1,9,1,11,1,10,1,11,1,12,1,10,1,9,1,12,1,11,1,24,1,8,1,10,3,12,1,10,1,12,2,9,1,11,2,10,1,9,1,11,3,12,4,17,1,12,2,11,1,17,2,12,2,17,1,11,1,10,1,12,1,17,2,12,1,11,3,12,2,10,1,11,1,12,2,17,1,12,1,17,2,12,1,17,3,12,2,10,1,17,1,11,1,9,1,17,2,11,1,17,1,11,1,17,4,12,1,17,1,12,1,11,1,12,1,10,1,17,6,11,1,17,3,11,1,17,1,11,1,17,2,12,1,11,2,12,1,11,1,17,2,11,2,12,1,17,1,12,3,9,1,17,1,12,1,10,1,17,1,11,1,10,1,12,1,11,1,17,2,12,2,11,1,17,2,12,1,17,3,11,1,17,3,12,1,17,1,10,2,17,6,11,1,12,1,17,1,12,1,17,28,12,1,17,1,12,2,11,1,12,1,10,1,17,2,9,1,11,1,17,2,24,1,10,1,24,1,12,3,10,2,24,1,12,3,24,1,12,3,24,1,11,1,24,1,9,1,12,1,17,1,10,1,24,1,10,1,17,1,10,1,12,1,10,1,11,1,8,1,10,1,12,1,24,2,9,1,8,1,10,2,24,1,10,1,8,1,9,1,10,2,24,1,11,1,8,2,24,1,13,3,8,1,24,1,8,1,7,2,6,2,8,1,13,2,7,1,6,1,7,1,6,1,7,1,29,2,28,1,30,2,29,1,30,1,7,1,30,1,28,2,30,1,6,1,30,2,7,1,28,2,30,1,28,1,30,2,7,1,13,1,30,1,28,1,6,1,30,1,28,6,6,1,13,1,5,219,28,14,16,1,17,2,11,1,9,1,8,1,13,1,9,2,7,1,30,3,13,1,28,3,30,2,28,1,13,1,6,1,13,2,8,2,9,2,17,7,10,1,16,1,11,1,9,2,13,1,5,48,30,1,28,8,6,1,9,1,14,1,17,1,16,1,15,1,8,1,24,1,13,1,8,1,6,1,28,1,6,1,28,1,30,1,13,1,8,1,9,2,12,1,17,2,6,1,28,4,29,1,8,1,17,1,28,12,}, {28,1,30,1,28,4,6,1,28,1,29,1,7,1,28,2,29,1,7,1,6,1,7,1,8,1,24,1,17,3,11,1,24,1,8,1,13,2,6,2,17,3,11,1,17,1,10,1,17,2,11,1,17,1,11,1,8,1,13,1,9,1,16,1,8,1,13,2,8,1,13,2,12,1,17,4,13,1,6,2,13,3,24,1,17,3,12,1,13,1,9,1,8,1,24,1,8,1,30,1,28,1,29,1,28,4,30,2,28,22,6,1,13,1,12,1,17,1,24,1,7,1,30,1,29,2,28,3,7,1,10,1,9,1,10,1,9,1,6,1,7,1,6,2,29,1,7,1,6,1,13,1,6,1,13,1,24,1,13,1,17,1,12,1,7,1,28,3,29,1,30,1,6,2,30,1,6,1,28,1,30,1,28,5,13,1,5,1375,33,1,13,2,28,5,30,1,6,1,7,2,13,1,7,1,13,2,30,1,7,1,6,1,7,1,29,1,6,1,7,1,13,2,7,1,13,1,24,2,10,1,24,2,8,2,24,4,10,1,24,1,12,1,10,3,12,1,10,1,9,1,10,1,24,1,8,1,10,1,24,5,9,1,8,1,10,1,8,1,13,2,7,1,30,1,7,3,29,1,30,1,13,1,6,1,7,1,6,1,8,1,7,1,8,3,13,1,8,2,24,2,12,1,11,1,10,1,13,1,9,1,24,1,9,1,24,1,11,1,10,1,11,1,17,2,11,2,17,18,16,1,17,21,12,1,17,8,12,1,17,1,11,1,17,1,12,1,17,2,12,1,11,1,17,2,11,1,17,1,10,1,9,3,12,1,8,1,10,1,11,1,10,1,9,1,10,1,24,1,10,2,24,1,10,3,9,2,8,1,24,1,10,2,24,1,9,1,13,1,9,1,8,1,9,2,24,1,12,1,8,1,9,1,10,2,12,1,10,2,17,1,9,1,10,2,12,1,11,2,17,1,10,2,11,1,10,1,12,1,10,1,12,1,10,1,12,2,9,1,12,1,9,1,17,1,9,1,12,1,8,1,9,1,10,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,12,1,11,1,10,1,11,1,17,1,12,1,17,2,12,1,17,6,11,1,17,2,12,3,11,1,12,2,11,1,10,1,17,1,11,1,17,1,11,1,17,1,12,1,17,5,11,1,12,1,17,2,11,1,12,2,17,2,11,1,17,4,11,1,12,2,17,1,12,1,17,2,11,1,12,1,17,1,11,2,17,5,11,1,17,10,12,1,11,1,17,1,12,1,17,2,11,1,12,1,17,1,11,1,12,1,10,1,17,1,10,1,12,1,17,1,11,3,9,1,12,1,17,3,12,2,17,2,11,1,17,1,10,1,17,3,11,1,17,1,12,1,17,3,11,1,12,2,11,1,17,2,11,1,12,1,17,38,12,1,10,1,12,1,17,1,12,2,24,1,17,1,24,1,12,1,9,1,12,1,9,1,8,1,9,1,24,1,8,1,10,1,24,2,9,1,24,1,10,1,12,1,9,1,24,1,10,1,13,1,10,1,12,2,10,1,12,4,10,1,12,2,17,1,12,1,10,1,9,1,10,1,24,1,12,2,24,1,11,1,24,2,11,1,8,1,13,1,8,1,9,1,7,1,13,1,8,1,9,1,10,1,24,1,13,1,24,1,29,1,13,1,7,1,13,1,29,1,6,2,30,2,6,1,30,1,29,1,28,1,30,1,29,1,30,1,6,1,7,2,13,1,29,1,28,1,13,1,6,1,28,1,30,2,28,1,30,1,6,1,28,1,13,1,6,1,30,2,6,1,13,1,29,1,30,1,6,1,28,2,30,1,28,1,13,1,5,218,28,13,29,1,12,1,17,1,11,2,9,1,10,1,8,1,10,1,13,1,8,1,28,1,6,2,30,1,6,1,30,1,28,2,29,1,30,1,13,4,8,1,9,2,17,7,8,1,9,2,8,1,11,1,5,50,13,1,28,5,30,1,28,3,9,1,14,1,17,1,16,1,24,1,10,1,9,1,24,1,8,1,30,1,29,1,28,2,29,1,13,2,8,2,10,1,17,2,13,1,28,4,13,1,9,2,28,2,29,1,28,9,}, {28,6,29,1,30,1,29,1,28,2,29,1,30,1,8,1,9,1,24,1,9,1,15,1,14,1,17,2,11,1,10,1,13,1,24,1,13,2,7,1,9,1,17,4,10,1,17,4,9,3,12,1,11,1,8,2,7,1,13,1,8,1,9,1,16,2,17,1,11,1,16,1,6,1,13,1,29,1,7,1,6,2,24,1,12,1,17,3,9,1,24,1,9,1,10,1,9,1,6,1,28,28,30,2,13,2,10,1,17,1,8,1,13,1,6,1,28,1,29,1,28,1,30,1,28,1,13,1,9,1,10,1,15,1,24,1,6,1,29,1,13,1,6,1,8,1,6,1,13,2,29,1,13,1,6,1,9,1,17,1,14,1,6,1,28,4,30,1,28,8,6,1,28,2,13,1,5,1374,28,7,30,1,6,2,13,1,6,1,13,5,7,3,30,1,6,1,13,1,10,1,8,2,13,1,24,1,10,1,12,1,24,1,10,1,24,1,13,1,24,2,8,1,24,6,8,3,10,2,24,1,10,2,24,4,9,2,24,1,9,1,13,1,6,1,7,1,13,2,7,1,29,1,30,1,6,1,29,1,6,1,7,1,6,2,7,1,13,1,8,2,24,2,10,1,9,1,12,1,17,1,10,1,17,1,24,1,10,1,24,1,8,1,12,1,10,1,12,1,11,1,17,1,11,1,17,1,12,1,17,39,12,1,17,14,12,2,17,1,12,1,17,1,12,1,11,2,17,1,11,1,12,2,11,1,10,1,9,1,12,1,24,1,9,1,12,1,9,1,11,1,10,1,11,1,24,1,10,2,24,1,11,1,12,1,10,1,9,1,10,2,24,1,10,1,9,1,12,1,9,1,10,1,12,1,11,2,12,1,24,1,10,1,9,2,17,1,10,1,12,1,17,1,12,1,10,2,11,1,12,1,17,1,12,1,11,2,12,1,10,1,12,1,10,1,9,1,12,1,24,1,10,1,12,2,9,1,10,1,9,1,17,1,9,1,12,1,11,1,10,1,17,1,10,1,12,1,10,1,12,2,17,1,12,2,11,1,10,1,11,1,17,1,12,2,17,1,12,2,17,2,11,1,12,1,17,1,12,1,11,1,12,3,11,1,17,1,12,1,11,1,9,1,17,2,10,1,17,4,11,1,12,2,11,1,12,1,17,1,11,2,12,1,17,1,12,1,17,1,12,1,11,2,17,5,12,1,17,3,11,1,12,1,10,1,17,14,11,1,17,2,12,1,17,5,12,1,17,3,12,2,17,2,12,1,17,1,12,2,17,1,12,1,11,1,17,1,12,1,10,1,9,1,17,1,11,2,17,1,11,1,17,1,11,1,12,1,11,1,17,2,11,1,17,1,11,1,17,1,11,1,17,1,12,1,10,1,11,1,17,1,12,2,17,1,12,1,17,1,11,1,12,1,17,2,11,1,17,4,12,1,17,29,12,1,17,2,12,1,17,1,24,1,12,1,17,1,12,1,10,1,12,1,10,3,12,1,9,1,10,1,7,1,6,1,8,2,10,1,24,2,8,1,13,1,10,1,8,1,10,1,24,1,12,1,10,1,12,1,17,1,12,1,10,1,12,1,17,1,12,2,10,1,12,1,17,1,11,1,24,1,7,1,24,1,10,1,12,2,8,1,24,1,9,1,8,1,9,1,10,1,9,1,10,1,12,1,8,1,24,2,9,1,24,1,13,1,7,2,6,1,30,1,6,1,29,1,6,1,29,1,13,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,30,1,28,3,29,1,6,1,28,3,7,1,30,1,28,1,7,1,6,2,29,1,30,1,6,1,28,1,30,2,6,1,28,1,6,1,28,2,6,1,5,216,28,14,16,1,17,1,16,2,11,1,10,1,9,2,13,2,30,2,6,1,30,3,28,3,30,1,6,2,13,2,16,2,17,6,9,1,8,1,16,1,9,2,16,1,5,51,13,1,28,4,30,1,28,3,6,1,9,1,14,1,12,1,11,1,9,1,8,1,13,1,10,1,8,1,29,2,6,1,28,1,29,2,9,1,24,1,9,1,12,1,17,2,6,1,28,4,29,1,24,1,8,1,28,12,}, {28,5,30,1,28,1,30,2,6,4,8,1,24,1,10,1,17,1,15,1,17,2,14,1,16,1,8,1,13,1,8,2,6,1,13,1,10,1,17,2,16,1,17,1,12,1,16,1,14,2,12,1,10,1,24,1,8,1,15,1,16,2,7,1,13,1,10,1,14,1,9,1,11,1,12,1,16,1,10,1,8,1,13,1,8,1,6,1,13,1,6,3,12,1,17,3,12,1,10,1,8,1,9,1,24,1,7,1,29,1,28,27,6,1,30,1,13,1,8,1,17,2,13,1,7,1,6,1,28,1,30,1,28,1,30,1,29,1,6,1,11,1,15,1,17,1,9,1,8,1,6,1,13,5,7,1,6,1,7,2,8,1,14,1,12,1,28,5,29,2,28,2,6,1,28,1,30,1,28,2,30,1,28,2,13,1,5,1372,9,1,28,7,6,1,13,2,9,1,8,1,13,1,8,1,13,1,7,1,6,2,7,1,29,1,6,1,8,3,7,2,24,1,8,1,10,1,8,1,24,4,13,1,10,1,24,1,13,1,10,1,24,2,8,1,10,1,24,1,12,1,9,1,24,1,10,1,12,1,8,1,12,1,24,1,10,1,9,1,24,1,11,1,8,1,13,4,6,1,7,2,6,2,30,1,6,1,29,1,30,1,7,1,13,3,7,1,13,1,24,1,8,1,10,1,24,1,9,1,12,2,17,1,11,1,10,1,9,1,11,1,9,1,12,3,17,1,12,1,11,1,17,5,16,1,17,13,16,1,17,40,12,3,17,1,12,2,17,1,11,1,12,1,10,1,12,2,11,1,9,1,10,1,12,1,9,1,12,1,9,1,10,1,12,1,11,1,12,1,10,1,8,1,12,1,9,1,8,1,10,1,24,1,9,2,24,1,10,1,9,2,10,1,9,1,11,1,10,4,12,1,17,1,12,1,11,1,8,1,11,1,12,2,10,1,12,3,17,1,9,1,12,2,11,1,9,1,12,1,11,3,9,1,12,1,10,2,12,3,9,1,11,1,12,1,9,1,12,1,10,1,17,1,12,1,9,2,11,1,12,1,10,1,17,1,12,2,17,4,10,1,11,1,12,1,17,1,11,1,17,1,12,1,17,1,11,1,12,1,17,2,12,1,17,1,12,1,11,1,12,1,10,1,11,1,17,2,12,1,17,4,12,2,17,1,12,1,17,1,12,1,17,2,12,1,17,4,11,1,17,1,11,2,12,1,17,3,12,2,11,1,17,2,10,1,17,17,12,1,11,1,12,1,17,1,12,1,17,11,12,1,17,4,12,1,17,1,11,1,17,1,11,4,17,1,12,1,11,1,17,3,12,1,11,2,17,2,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,10,1,12,1,17,1,12,4,17,5,11,1,17,1,11,1,17,31,12,3,17,1,12,1,10,1,12,2,8,1,12,1,24,1,10,2,24,3,13,3,8,1,24,3,10,1,24,1,10,1,24,1,10,1,17,1,9,1,12,1,17,1,11,1,10,2,12,1,17,1,11,1,24,2,10,1,17,3,12,1,17,1,24,1,12,1,9,1,12,1,10,1,12,2,10,1,24,2,17,1,24,1,13,3,6,1,7,1,28,1,6,1,30,1,7,1,30,1,7,2,6,1,30,3,6,1,29,1,30,1,6,2,30,3,6,1,13,1,30,2,28,1,30,1,28,1,6,4,7,1,6,1,28,1,30,1,28,5,30,1,5,214,28,14,9,1,17,2,11,2,9,3,8,1,13,1,29,2,13,1,29,1,30,1,28,2,30,1,28,2,7,1,13,1,8,1,12,1,16,1,17,6,9,2,13,1,30,1,13,1,5,53,13,1,28,5,30,1,28,2,29,1,14,2,16,1,9,1,10,1,9,1,10,1,24,1,8,1,6,3,30,1,6,2,12,1,10,1,12,2,17,1,10,1,7,1,28,3,30,1,6,1,9,1,8,1,28,12,}, {28,1,30,1,28,3,29,1,6,1,7,1,28,1,6,1,30,1,29,1,13,3,17,1,11,1,17,1,16,1,17,2,12,1,13,1,8,1,13,1,9,1,7,1,13,1,11,1,17,4,12,1,9,1,17,1,16,1,10,1,9,2,8,2,14,1,9,1,10,1,17,1,11,1,14,1,9,2,11,2,9,1,13,3,6,1,13,4,17,3,16,1,10,1,9,1,8,1,9,1,12,1,29,1,30,1,28,26,30,1,28,1,8,1,9,1,8,1,17,2,8,1,30,1,6,1,30,1,29,1,30,1,29,1,6,1,7,1,10,1,9,1,12,1,9,1,13,1,6,2,13,1,9,1,13,1,6,1,8,1,13,1,6,1,8,1,24,1,14,1,9,1,13,1,30,1,28,5,30,2,6,1,30,1,28,3,7,1,30,1,28,1,6,1,5,1370,28,5,30,1,28,1,6,1,13,2,7,1,8,4,13,1,7,1,6,1,13,1,7,2,13,1,7,2,8,1,24,1,8,2,10,1,8,2,24,2,10,2,24,1,10,1,8,2,10,1,24,1,8,2,12,1,8,1,24,4,8,1,10,1,24,2,8,1,24,1,8,1,9,1,8,2,6,1,7,1,29,1,7,2,13,2,29,2,7,1,6,1,13,1,29,1,7,1,13,2,24,1,13,1,24,3,9,1,12,1,17,4,10,2,9,1,11,2,12,1,17,4,12,1,11,1,17,1,11,1,17,3,16,1,17,3,16,1,17,9,16,1,17,30,12,1,17,6,12,1,17,2,12,1,17,1,12,2,17,1,12,1,11,1,12,1,17,1,12,2,17,1,9,1,12,4,11,2,10,1,11,1,12,1,11,1,12,1,9,1,10,1,9,1,24,1,9,1,11,1,9,1,10,1,12,1,10,1,9,1,10,1,9,3,11,2,12,1,10,1,12,1,10,2,12,1,10,1,12,1,11,1,12,1,11,2,12,1,17,1,11,1,10,1,11,1,12,1,17,3,11,1,17,1,11,2,10,1,12,2,9,2,11,1,10,1,17,1,12,1,11,1,12,1,10,1,17,1,10,1,12,1,9,1,12,2,17,2,9,1,11,1,12,1,11,2,12,2,10,1,12,1,11,2,17,2,11,1,17,1,12,1,17,1,11,4,12,1,11,1,10,1,12,1,17,3,12,2,17,5,12,1,17,3,12,1,10,1,17,1,12,2,17,7,12,1,11,1,12,1,17,7,11,1,17,12,11,1,17,1,12,1,17,8,12,1,17,15,11,2,17,2,12,2,17,3,12,1,17,1,12,1,11,2,12,3,11,2,12,1,11,1,17,1,11,1,17,1,12,2,11,1,12,1,17,1,12,1,17,39,12,3,17,1,12,3,10,1,17,1,10,2,24,2,10,1,9,1,8,1,12,1,24,3,7,1,8,1,24,1,13,1,10,1,8,1,24,1,7,1,10,1,12,1,24,1,9,1,12,1,8,1,24,1,12,1,10,1,12,2,17,2,12,1,11,1,10,1,12,1,11,1,12,1,24,1,9,1,24,3,17,1,9,1,10,1,12,1,10,2,13,1,24,1,13,1,8,2,7,1,6,1,7,1,6,1,7,1,29,1,28,1,29,1,30,1,7,1,30,1,6,1,30,1,29,2,6,1,7,1,6,1,28,1,30,1,7,1,28,1,30,1,28,2,7,1,30,3,7,1,6,2,29,1,28,1,30,1,6,1,30,1,28,4,13,1,5,211,33,1,28,13,29,1,14,1,17,2,11,1,12,1,9,1,10,1,13,1,8,2,30,1,13,1,28,1,6,2,28,3,30,1,6,1,13,2,10,1,16,1,17,3,16,1,8,1,11,1,9,1,13,3,9,1,5,54,13,1,28,4,29,1,28,4,11,1,14,1,16,1,11,1,15,1,24,1,8,2,13,1,29,1,30,1,29,1,6,1,30,1,13,1,9,2,16,1,12,1,17,2,29,1,28,4,24,1,13,2,28,2,30,1,28,2,30,1,28,6,}, {28,5,30,1,28,1,30,1,7,1,28,1,7,1,30,1,29,1,13,1,8,1,24,1,10,2,16,1,17,1,14,1,16,1,13,1,8,1,10,1,11,1,8,1,13,1,9,1,17,3,9,1,16,1,9,1,10,1,11,1,17,1,9,1,13,1,6,1,24,1,14,1,12,1,17,1,14,1,12,1,13,1,6,1,30,1,9,2,12,1,11,1,7,2,6,2,13,2,28,1,16,1,17,3,9,2,10,2,9,1,7,1,29,1,28,26,30,1,6,1,13,1,8,1,9,1,12,1,17,1,8,1,29,2,7,1,29,1,30,1,28,1,30,1,7,1,8,1,9,1,12,1,24,1,8,1,7,1,8,1,13,1,30,1,6,1,8,1,7,1,13,2,6,1,9,1,17,1,14,1,6,1,28,5,29,1,7,1,6,1,30,1,13,1,30,1,28,2,13,1,28,3,5,1368,13,1,28,4,30,1,28,1,30,1,13,3,8,1,13,1,8,2,13,1,24,1,13,1,29,1,13,1,8,1,13,3,6,1,7,1,6,1,24,1,13,1,10,1,24,1,10,1,24,1,10,3,8,1,13,1,8,1,12,1,9,1,10,1,8,1,24,1,8,1,24,3,10,1,24,2,8,2,10,1,24,2,8,1,24,1,7,2,6,2,7,1,13,1,6,2,30,1,6,1,7,4,6,1,7,1,13,1,24,1,8,1,13,1,24,1,10,2,17,3,12,1,10,2,12,2,17,8,12,2,16,2,17,1,16,1,17,1,16,5,17,3,16,1,17,1,16,1,17,4,16,1,17,32,12,1,17,2,12,3,17,3,11,1,17,1,10,1,12,2,17,1,11,3,10,1,12,1,11,2,10,1,11,1,8,1,12,1,11,1,12,1,9,2,11,2,8,1,12,1,11,1,8,2,12,1,9,1,10,2,9,2,17,1,10,1,9,1,10,1,11,1,24,1,12,2,10,2,11,1,10,1,12,1,11,1,12,2,11,1,12,1,17,2,12,1,11,5,12,1,11,3,12,2,10,1,11,2,12,1,10,1,12,1,17,1,11,2,12,4,9,2,11,1,17,1,11,1,10,1,11,1,17,1,11,1,10,1,12,1,10,1,17,1,12,2,17,4,12,2,17,1,12,1,17,2,12,1,17,1,11,1,17,2,12,1,17,1,11,1,17,1,12,1,17,1,12,2,10,1,12,1,17,4,12,2,11,1,17,1,11,1,17,1,12,1,17,3,12,1,17,1,12,2,17,1,12,1,17,10,12,1,17,4,11,1,17,15,12,1,17,20,12,1,17,2,12,1,17,3,11,1,12,2,17,2,12,1,17,1,10,1,17,3,11,1,12,1,11,1,12,1,17,1,11,1,12,1,11,1,12,4,11,1,17,2,12,1,17,17,12,1,17,13,12,1,17,2,12,1,10,1,17,1,12,2,10,1,17,1,24,1,17,1,10,1,9,1,24,3,10,1,24,3,10,1,8,3,13,1,10,1,24,5,12,1,10,2,12,1,10,1,24,1,10,1,24,1,12,3,17,1,12,2,9,1,10,1,12,1,10,1,12,1,24,2,13,1,11,1,10,2,8,1,10,1,9,2,10,1,7,1,24,1,13,1,7,1,30,1,13,1,6,2,30,1,6,1,28,1,6,2,7,1,30,3,28,1,30,1,6,1,30,1,28,1,6,1,29,1,6,1,7,1,30,1,28,1,6,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,5,13,2,5,209,13,1,28,13,30,1,17,3,9,3,11,1,8,1,13,2,7,1,13,1,28,1,6,1,30,1,28,5,13,1,17,1,16,1,17,2,11,1,16,1,11,1,7,1,9,1,8,1,13,1,9,2,5,55,13,1,28,4,30,2,28,2,6,1,14,2,9,1,24,1,9,1,13,1,30,1,6,1,30,1,7,1,6,1,29,1,30,1,29,1,13,1,8,1,11,2,12,1,17,1,12,1,30,2,28,3,7,1,9,1,8,1,30,1,28,11,}, {6,1,28,3,29,1,28,2,29,1,6,1,30,1,29,1,6,1,29,1,13,1,8,1,24,2,9,1,10,1,17,1,14,1,11,1,24,1,13,1,6,1,8,1,13,2,9,1,17,2,11,1,9,1,8,2,16,1,9,2,8,1,13,1,6,1,13,1,14,1,11,1,16,1,9,1,8,1,6,4,11,1,9,1,24,1,6,1,13,1,6,2,13,1,29,1,6,1,12,1,17,1,12,2,9,1,8,1,10,1,24,2,6,1,29,1,28,27,30,1,8,2,13,1,10,1,17,1,7,1,6,2,13,1,29,1,30,1,28,2,13,1,24,1,9,1,17,1,8,2,9,1,8,1,30,1,13,2,6,1,30,1,6,1,13,1,24,2,17,1,9,1,13,1,30,1,28,4,6,3,29,1,28,1,30,2,28,1,9,1,6,1,28,2,5,1366,30,1,28,2,30,1,28,1,30,2,13,2,7,1,8,1,6,1,13,1,24,1,8,1,24,1,13,1,7,1,8,1,13,1,29,1,8,1,13,1,24,1,7,1,29,1,7,1,24,1,7,1,8,1,24,2,7,1,24,1,8,1,10,1,12,1,24,1,13,1,10,1,8,1,24,1,8,1,24,1,9,1,10,1,24,4,10,1,8,3,24,2,8,2,6,2,29,1,7,1,29,1,7,1,6,4,29,1,13,1,8,1,7,1,13,1,7,1,9,2,24,1,10,1,12,1,24,1,17,6,12,1,11,1,12,2,17,1,12,1,17,6,12,1,17,1,11,3,17,1,11,1,17,1,16,1,17,2,16,1,17,3,11,1,17,4,16,1,17,37,11,1,17,1,11,1,12,3,17,1,12,2,10,1,17,1,12,1,10,2,12,1,11,1,12,2,8,1,10,1,12,2,9,1,12,1,10,1,11,2,17,1,12,2,11,1,9,1,10,1,9,1,10,2,9,1,11,1,10,1,11,1,12,2,10,1,11,1,10,1,12,1,10,1,8,1,11,1,9,1,17,1,12,1,10,1,17,1,12,1,11,1,17,2,12,2,17,1,11,1,17,3,12,3,17,1,11,2,12,3,10,1,9,1,17,1,11,1,12,1,11,2,10,2,12,1,8,1,12,1,17,2,11,1,12,2,17,1,12,1,17,1,11,1,17,1,12,1,11,2,17,1,12,1,17,1,11,1,17,1,11,1,17,2,12,1,17,2,11,1,12,2,10,2,17,1,12,1,17,8,12,1,17,1,11,2,17,2,12,4,17,1,12,1,17,9,11,2,17,10,12,1,17,6,12,1,17,1,12,1,17,42,12,1,17,1,11,1,17,2,12,2,17,2,11,1,12,1,17,1,12,1,17,1,12,1,17,2,11,1,17,2,12,1,17,1,11,1,17,34,10,1,17,1,9,1,17,1,12,1,10,1,24,1,10,1,24,3,12,2,24,3,8,1,10,1,13,1,24,3,8,2,10,1,8,1,10,1,8,2,6,1,8,1,9,2,24,2,12,1,10,1,24,1,12,1,11,1,10,1,17,1,10,1,9,1,10,1,11,1,17,1,8,1,12,1,11,1,24,1,8,2,11,1,24,3,8,1,24,1,9,1,8,1,24,1,8,1,6,1,13,2,6,1,29,2,6,2,29,1,13,1,6,1,30,1,7,2,6,1,28,4,6,2,29,1,6,1,29,2,7,1,6,1,30,2,29,1,28,2,29,1,28,1,6,2,28,4,13,1,5,207,6,1,28,13,30,1,14,1,17,1,11,1,9,1,11,1,9,2,8,2,13,1,30,1,6,2,28,1,30,1,28,2,30,1,6,1,8,1,17,1,10,1,16,3,9,2,13,1,8,2,13,2,16,1,5,56,28,6,6,1,28,2,13,1,14,2,11,1,9,1,6,1,29,1,7,1,13,1,6,1,28,1,30,1,28,2,6,1,13,1,8,1,24,1,9,1,12,1,17,1,10,1,6,1,28,3,29,1,8,1,9,1,8,1,28,12,}, {6,1,28,3,30,1,28,2,29,1,28,1,13,1,6,2,13,1,24,1,13,1,10,1,13,1,8,1,11,1,14,1,17,1,9,1,24,1,7,1,8,2,13,2,9,1,17,2,16,1,11,1,9,2,24,3,9,1,8,1,6,1,8,1,11,1,10,1,13,1,11,1,9,1,13,1,6,1,7,1,8,1,9,1,10,1,11,1,8,1,13,1,6,1,13,1,6,1,7,2,9,1,17,2,12,1,9,1,13,1,7,1,9,1,24,1,13,1,28,26,30,1,28,1,29,1,6,1,29,1,8,1,10,1,17,1,24,1,13,1,6,1,29,2,28,3,8,1,7,1,8,1,10,1,24,1,12,1,8,3,7,1,13,2,6,1,13,1,30,1,7,1,17,1,14,1,12,1,8,1,6,1,28,4,30,1,13,1,30,1,28,5,13,1,30,1,28,2,5,1364,13,1,30,1,28,2,30,1,28,1,6,1,13,1,8,1,13,2,24,1,30,1,13,3,7,1,24,1,13,1,8,1,13,1,7,1,6,1,13,4,8,1,7,1,8,2,13,1,7,1,8,1,12,1,8,1,24,3,8,1,24,1,9,1,8,1,24,2,8,1,24,3,8,1,24,1,8,1,24,1,10,3,7,1,8,1,29,2,7,3,6,1,29,2,6,3,7,4,8,2,24,1,8,1,11,1,10,1,12,1,17,2,11,5,17,1,9,1,12,1,10,2,9,2,11,1,17,1,12,1,17,2,11,2,10,1,12,1,10,1,11,3,16,1,17,1,16,2,17,1,16,2,17,38,11,2,12,1,17,1,12,1,17,2,11,2,12,1,11,1,17,2,11,1,17,2,9,1,11,3,9,1,10,1,11,2,17,1,12,1,11,1,17,1,11,1,12,1,11,2,10,1,12,1,11,3,10,1,17,1,10,1,9,1,11,1,17,1,12,1,10,2,11,1,10,2,11,1,10,1,11,1,17,1,12,2,10,1,12,3,17,1,11,1,17,1,11,1,12,1,11,2,12,1,10,1,11,1,12,1,11,1,12,1,17,1,11,1,12,1,17,3,11,2,17,1,12,1,17,2,12,1,11,2,12,1,11,2,12,1,17,1,12,1,17,1,11,1,12,1,11,1,17,1,12,1,11,2,17,1,11,1,17,1,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,4,12,1,17,1,9,1,11,2,12,1,17,1,12,1,17,1,12,1,17,3,12,2,17,1,12,2,17,1,11,1,12,1,17,1,11,1,12,1,17,1,12,1,11,1,17,14,11,1,17,4,11,1,17,3,12,1,17,5,12,1,17,6,11,1,17,4,12,1,17,4,12,1,17,29,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,6,11,1,17,2,11,1,17,2,11,2,17,1,11,1,12,2,17,4,12,1,17,27,9,1,12,2,10,1,12,4,8,1,24,1,10,1,24,1,9,1,24,1,8,1,24,1,8,2,13,1,24,1,9,2,24,2,7,1,9,1,8,1,24,1,13,2,8,2,9,1,24,1,8,1,10,1,8,1,12,1,10,1,17,1,12,1,17,1,10,1,9,1,12,1,10,2,8,1,12,1,10,1,12,1,10,5,9,1,13,1,10,1,13,1,9,2,24,1,8,1,29,1,13,1,6,3,28,1,30,2,13,2,6,1,30,2,28,1,6,1,30,1,7,1,6,1,30,1,6,1,28,1,13,1,29,1,30,2,6,1,28,1,29,1,30,1,6,1,28,1,7,1,30,2,6,1,7,1,28,2,9,1,5,206,28,14,13,1,14,1,17,1,11,3,13,1,8,2,13,1,6,1,28,1,30,1,28,5,9,2,11,1,17,1,11,1,10,2,11,1,8,1,9,1,8,2,13,1,6,1,5,58,28,4,30,1,28,2,30,1,28,1,30,1,11,1,17,2,11,1,13,1,7,3,6,2,29,1,6,1,28,1,8,1,6,1,24,1,8,1,24,1,12,1,17,1,9,1,28,2,30,1,28,1,30,1,8,1,9,2,30,2,29,1,28,9,}, {28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,29,1,13,1,6,1,13,1,10,1,8,1,10,1,15,1,14,1,17,1,9,1,13,1,24,1,13,4,16,1,17,2,11,2,9,2,8,1,9,2,24,1,13,1,29,1,13,1,12,1,9,1,8,1,24,1,8,1,13,3,8,1,9,1,10,1,9,1,8,1,7,1,8,1,13,1,6,2,7,1,9,1,17,2,12,1,10,1,13,2,9,2,13,1,30,1,28,20,30,1,28,6,30,1,28,1,7,1,13,1,8,1,17,1,8,1,6,2,29,2,28,3,6,1,24,1,10,1,12,1,8,1,24,1,13,1,8,1,13,3,6,3,13,1,8,1,17,1,12,1,9,1,7,1,28,6,7,1,6,2,28,1,30,2,28,1,30,1,6,1,28,2,33,1,5,1362,28,3,6,1,30,2,6,1,13,2,9,1,24,1,7,1,13,1,24,1,13,1,24,1,8,1,9,1,13,4,6,1,13,1,7,1,8,1,7,1,13,1,6,1,24,3,8,3,24,1,8,1,24,1,10,1,24,2,8,3,24,1,8,1,24,1,8,1,24,3,10,1,9,1,24,2,7,1,13,1,6,2,13,2,29,3,30,2,6,1,7,1,13,2,8,1,13,1,10,1,13,1,9,1,11,1,10,1,17,1,9,1,24,1,9,1,10,2,11,1,12,1,11,1,12,1,11,1,12,1,9,1,12,1,24,1,8,1,9,2,10,1,17,2,12,1,11,5,16,1,11,2,16,4,17,4,16,2,17,1,16,1,17,33,12,1,11,1,12,1,11,2,12,1,17,2,11,1,17,2,11,1,10,1,17,1,10,2,12,1,10,1,12,1,10,1,12,3,11,1,10,1,11,1,17,1,12,1,17,1,12,1,17,1,12,2,11,1,17,1,12,3,11,1,12,2,17,1,11,1,10,1,12,1,11,1,12,1,10,1,11,1,10,1,11,1,17,1,11,2,9,1,17,3,12,3,17,1,12,1,17,1,12,5,11,1,17,1,12,1,17,1,9,1,17,2,10,1,11,1,17,1,9,1,17,1,10,1,17,1,12,1,10,1,11,1,17,1,11,1,10,1,17,2,11,1,10,1,11,1,12,1,17,1,11,1,17,1,11,1,17,2,11,1,17,1,11,1,12,1,17,8,11,1,12,1,17,2,11,1,12,1,10,1,17,1,12,1,17,1,11,2,17,1,11,2,17,3,11,1,17,1,12,1,17,3,10,1,17,1,12,1,11,1,17,1,11,1,17,4,11,1,17,3,11,1,17,20,12,2,17,1,12,1,17,1,12,2,11,2,17,1,12,2,17,1,12,1,17,2,12,1,11,1,17,5,12,1,17,24,12,1,11,1,17,9,12,1,17,1,11,1,12,1,17,2,12,1,11,1,17,1,12,1,11,2,17,1,11,1,17,1,11,1,17,17,12,1,17,13,12,2,9,1,17,1,10,1,9,1,10,1,9,1,10,1,24,1,8,1,12,1,8,1,10,1,8,2,24,1,8,1,7,1,6,1,24,4,13,2,8,1,7,1,24,2,8,2,24,2,9,1,10,1,9,1,11,1,8,1,9,1,10,1,17,1,12,1,10,1,12,1,24,1,12,3,24,1,8,1,12,1,9,1,12,1,24,1,8,1,9,1,12,1,10,1,12,1,13,1,24,1,13,1,24,1,8,2,13,1,8,1,13,1,7,1,28,1,6,2,30,1,13,1,6,3,30,1,28,1,6,2,13,1,6,2,30,1,6,1,28,1,13,1,6,1,30,2,28,2,6,2,30,2,28,1,30,1,28,2,13,1,5,204,28,14,6,1,14,1,17,1,16,1,11,2,9,1,8,1,9,1,6,1,30,1,29,1,28,1,30,2,28,1,29,1,8,1,17,3,9,1,11,1,9,3,8,2,13,3,5,59,28,5,6,1,28,3,29,1,17,1,14,1,11,1,9,1,6,2,7,1,6,1,7,1,6,2,30,1,29,1,6,1,8,2,10,1,8,1,17,2,9,1,28,4,7,1,9,1,11,1,13,1,28,12,}, {30,1,28,4,29,1,30,2,6,1,29,1,6,1,7,2,29,1,7,1,9,2,12,1,15,1,12,1,14,1,15,1,9,1,8,1,13,1,8,2,13,2,17,2,16,1,8,2,9,2,8,1,10,1,8,1,7,1,30,1,8,1,10,1,8,1,24,1,8,3,6,1,7,1,8,2,12,1,9,3,7,1,13,1,6,1,7,1,13,1,16,1,17,3,8,2,13,1,9,2,13,1,28,23,30,1,28,3,30,1,28,1,29,1,13,2,17,1,9,2,24,1,8,1,13,1,30,1,28,3,7,1,24,2,8,1,9,1,30,1,8,2,9,1,6,1,7,1,13,1,6,1,30,1,8,1,24,1,8,1,17,1,14,1,8,1,30,1,28,4,7,1,6,2,30,2,28,1,30,1,28,1,29,1,6,1,28,2,33,1,5,1359,9,2,30,1,28,1,6,2,13,1,6,1,13,3,7,1,13,1,8,1,24,1,10,1,8,2,6,1,13,3,6,1,8,3,7,2,13,1,24,1,6,1,9,1,12,1,8,1,13,2,24,1,8,2,24,2,8,2,24,1,8,2,24,2,8,1,10,1,24,1,8,1,24,2,8,1,24,1,13,1,30,1,29,1,6,3,29,1,30,2,6,1,29,1,6,1,7,1,13,1,7,1,13,2,9,1,10,1,9,1,17,1,11,1,10,1,17,1,9,1,12,1,10,2,11,1,12,4,11,1,17,1,11,1,9,1,8,1,9,1,10,2,17,2,12,1,17,1,10,1,9,1,10,1,9,3,16,1,11,1,16,2,17,1,16,1,17,3,16,1,17,3,16,1,17,2,16,1,17,2,16,1,17,26,11,2,17,1,11,3,12,3,17,2,12,1,10,1,17,1,10,1,11,2,9,2,10,1,9,2,10,1,11,1,17,1,12,1,17,1,12,1,10,2,12,2,11,2,17,1,12,1,17,1,10,1,12,1,17,1,10,1,11,1,9,1,12,2,11,1,17,1,10,1,11,1,17,1,11,1,12,1,17,1,11,1,12,1,17,3,12,2,17,1,12,1,11,1,12,1,11,1,12,1,11,2,12,1,17,1,10,1,17,1,12,2,17,1,12,1,17,3,11,1,17,1,11,2,17,2,12,2,10,1,17,1,11,1,12,1,11,1,12,2,17,2,12,1,17,1,10,1,17,2,12,1,17,2,12,2,11,1,12,1,11,1,17,1,10,1,11,1,17,1,11,1,17,1,12,2,17,1,11,2,17,2,11,2,12,1,11,1,17,2,11,1,17,3,12,1,17,5,11,1,12,1,17,1,10,1,11,2,17,5,11,1,17,4,11,1,17,10,11,1,17,4,11,1,17,2,11,1,17,1,12,1,17,2,12,3,10,1,11,1,10,1,11,1,12,1,11,1,10,1,9,1,12,1,11,2,12,1,11,1,12,1,10,1,12,1,17,1,11,1,17,2,10,1,11,1,17,2,12,1,17,29,11,1,17,1,11,1,17,1,12,2,10,1,11,1,12,1,11,1,12,2,11,2,17,2,11,1,12,1,17,32,12,1,17,1,10,1,12,4,10,1,24,1,8,1,24,1,12,1,24,1,9,1,8,3,13,3,8,1,13,2,24,1,13,2,24,1,7,1,8,1,13,1,8,1,24,1,10,2,24,1,12,1,24,1,12,1,10,1,9,1,12,1,9,1,10,1,12,5,10,1,13,1,10,1,8,1,12,2,24,1,10,1,12,1,17,1,24,2,10,1,7,1,13,2,29,1,6,1,7,1,6,1,30,1,13,2,30,1,6,1,7,1,30,1,29,3,30,1,29,1,6,1,28,1,7,1,30,1,28,1,30,1,6,2,29,1,6,1,29,1,30,1,29,1,30,3,6,1,28,1,6,1,9,1,5,202,30,1,28,13,8,1,17,3,11,1,10,1,8,2,9,1,13,1,30,1,6,1,28,1,29,1,7,1,8,1,11,1,17,1,12,2,8,1,9,1,24,1,9,1,13,1,6,1,13,2,6,1,13,1,33,1,5,59,28,4,6,1,28,4,13,1,17,2,12,1,9,1,13,3,6,1,28,1,6,2,28,1,29,1,30,1,7,1,8,1,10,1,12,2,17,1,9,1,28,4,29,1,11,1,10,1,13,1,28,2,30,1,28,9,}, {28,4,7,1,28,2,29,1,30,1,6,1,13,2,30,1,8,1,13,1,9,1,24,1,9,1,12,1,17,1,14,1,17,1,6,1,24,1,8,1,24,1,8,1,9,2,16,1,17,1,16,1,9,2,11,1,24,1,17,1,10,1,8,1,9,1,8,1,7,1,24,1,9,5,6,1,13,3,10,1,9,1,6,1,8,3,6,1,13,2,24,1,17,1,11,1,9,1,10,1,24,1,9,1,8,2,6,1,28,25,30,1,28,1,30,1,28,1,6,2,13,1,12,3,8,1,7,1,13,1,28,3,30,1,6,1,24,4,8,1,7,1,9,1,8,1,7,1,6,1,7,2,29,1,6,1,24,1,10,1,14,1,15,1,8,1,28,1,30,1,28,1,30,1,6,1,29,1,8,1,30,1,29,1,6,1,28,1,6,1,28,2,6,1,28,2,6,1,5,1358,13,1,30,1,6,1,30,1,6,1,13,5,9,1,8,1,7,1,13,1,9,1,8,1,13,1,10,1,7,2,8,1,13,2,6,1,13,1,7,1,13,2,24,1,8,1,13,1,24,1,10,1,8,2,24,1,13,1,24,1,13,1,8,1,24,1,8,1,9,1,24,2,8,1,7,1,10,1,7,1,8,1,13,2,8,1,7,2,29,3,13,1,6,1,30,1,28,1,7,1,28,1,6,1,13,1,6,2,13,1,8,1,7,1,24,1,9,2,10,1,11,1,10,1,12,1,9,1,10,1,9,1,11,1,12,2,11,2,17,4,11,1,10,2,9,4,17,1,11,5,9,5,11,2,16,2,17,2,16,1,17,9,16,1,17,5,11,1,16,2,17,21,11,1,16,1,12,1,11,1,17,4,12,2,11,1,17,1,11,1,10,1,11,1,9,2,10,1,9,1,10,1,9,2,17,1,12,1,10,1,17,1,8,1,11,3,17,3,11,1,17,1,12,1,11,1,12,1,11,1,12,2,17,2,10,1,11,1,10,1,17,1,11,1,10,1,17,1,11,2,17,1,11,1,17,1,10,1,11,1,17,1,12,1,10,2,11,1,17,1,11,1,17,2,11,1,17,1,12,3,17,1,12,2,17,1,9,1,11,1,17,1,11,1,12,2,17,1,11,3,17,1,9,1,11,1,12,1,10,1,11,1,17,1,10,2,17,1,11,1,17,2,12,2,17,1,12,1,17,4,11,1,17,1,12,2,17,2,11,1,17,3,12,1,17,2,11,1,12,2,11,1,17,3,11,2,17,3,10,1,17,1,12,2,17,4,11,1,17,4,11,1,17,1,12,4,17,1,12,1,17,1,11,1,17,11,12,1,17,3,10,1,12,1,17,1,9,1,10,1,17,1,11,2,9,1,10,1,11,4,12,1,10,1,11,1,10,1,11,1,12,1,11,1,9,1,10,1,8,1,11,2,10,2,12,1,10,2,11,1,10,1,11,1,17,1,12,1,11,1,17,34,12,2,17,2,12,1,9,1,17,1,12,1,17,3,11,1,17,36,12,1,17,1,10,2,12,1,10,1,24,1,12,1,13,1,9,1,13,1,10,1,6,1,13,1,8,1,24,1,13,1,8,1,13,1,24,1,13,1,9,2,24,3,13,1,24,1,13,1,24,1,13,1,8,1,24,1,8,1,7,1,8,1,9,2,12,1,9,1,12,1,10,1,24,2,12,1,17,1,12,1,24,1,9,1,10,1,9,3,10,1,12,1,9,1,10,2,12,2,13,2,6,1,30,2,6,2,29,1,28,1,6,1,29,1,7,1,28,1,6,1,30,1,6,1,28,1,30,1,6,1,7,1,6,1,30,1,6,1,28,1,7,1,29,1,28,1,6,1,28,1,30,1,6,1,13,1,29,1,30,2,13,1,28,1,6,1,13,2,5,199,6,1,28,13,8,1,17,2,11,3,10,1,9,2,13,1,6,2,8,1,9,1,11,1,9,1,10,1,9,2,10,1,13,1,8,2,13,5,6,1,5,61,28,4,30,1,28,4,7,1,17,3,7,1,8,1,6,1,13,1,7,1,6,1,28,1,29,1,6,1,30,1,28,1,8,1,24,1,8,1,9,1,10,1,17,1,9,1,28,1,30,1,28,3,9,1,10,1,13,1,28,3,30,1,28,7,30,1,}, {28,2,30,1,28,1,29,1,28,3,30,2,6,1,28,1,13,3,9,1,11,1,9,1,12,1,10,1,14,2,13,1,9,1,8,1,12,1,13,1,9,1,8,1,17,2,16,1,10,1,13,1,11,1,13,1,11,1,12,1,24,2,6,1,13,1,8,2,13,1,8,1,13,2,6,1,13,1,8,1,9,3,13,1,8,1,6,1,29,1,13,4,10,1,17,1,9,2,8,1,24,1,9,1,10,1,29,1,28,27,30,1,6,1,29,1,6,1,7,1,9,1,12,1,17,1,8,1,7,1,29,1,28,1,30,1,28,2,6,1,13,1,24,1,9,1,8,1,13,2,8,3,6,1,13,1,6,2,13,2,24,1,15,1,14,1,8,1,30,1,6,1,28,1,30,3,8,1,13,1,30,2,28,1,29,1,28,2,13,1,28,2,6,1,5,1353,33,1,13,2,9,1,28,1,6,2,13,5,8,1,13,1,8,1,13,2,8,2,9,1,8,1,24,1,13,2,6,1,13,2,24,1,7,1,24,1,13,3,8,2,7,1,10,1,24,1,8,1,10,1,24,4,10,1,24,1,8,2,13,2,8,1,7,1,8,1,13,1,7,4,6,1,7,1,6,2,29,1,30,3,6,2,13,1,7,3,8,4,10,2,17,1,12,1,9,1,10,1,11,1,10,1,11,3,10,1,11,1,17,6,11,1,10,1,9,3,11,2,9,1,11,2,12,1,11,2,8,2,10,1,9,1,10,1,11,1,16,1,17,3,16,2,17,1,16,1,17,2,16,1,17,4,16,1,17,2,16,1,17,1,16,4,17,19,11,2,17,7,10,1,17,3,11,2,9,1,10,1,9,2,8,1,11,1,9,1,11,3,10,1,17,1,9,1,11,1,9,1,12,1,17,1,10,1,12,2,11,1,12,1,17,3,11,1,17,3,10,1,17,1,11,2,12,2,11,1,17,1,12,2,17,1,11,1,12,1,17,1,10,1,17,1,12,2,11,1,12,1,17,1,11,2,17,1,12,1,17,1,10,1,11,1,17,2,12,3,11,1,17,1,11,1,17,1,11,1,17,3,11,2,10,1,11,1,17,1,11,1,12,1,17,1,11,1,12,6,17,1,11,1,17,1,11,1,12,3,11,1,17,1,11,1,12,2,17,2,11,3,17,1,11,1,17,2,12,1,11,1,12,1,17,1,10,3,17,1,11,1,17,1,12,1,17,4,11,1,17,7,11,1,17,1,11,1,17,6,11,1,17,2,11,1,17,7,12,1,11,1,17,2,11,3,10,1,11,2,9,1,24,1,11,1,9,2,12,1,11,1,10,2,9,4,12,1,10,1,12,1,9,1,10,5,11,2,10,1,9,2,10,1,11,1,12,1,9,1,12,1,17,1,12,2,17,1,12,1,11,3,17,33,11,1,17,1,11,1,12,1,17,5,12,2,17,1,12,1,17,21,12,1,17,11,12,6,10,2,12,1,8,1,24,1,8,1,13,1,7,1,8,2,24,1,13,1,8,1,24,1,13,2,24,1,13,1,6,1,8,1,7,1,13,3,8,1,13,2,7,1,12,1,8,1,12,1,8,2,12,1,9,1,24,1,9,1,10,1,17,1,12,1,10,1,17,1,24,1,9,2,10,1,24,1,10,1,24,2,10,1,9,1,10,1,8,1,13,3,7,2,6,1,7,1,6,1,7,1,6,1,28,1,6,1,30,1,7,1,29,3,13,1,6,2,29,1,7,3,30,1,29,1,6,1,30,1,13,1,30,2,6,2,29,1,30,1,28,1,30,1,6,1,9,1,5,197,30,1,28,13,13,1,17,2,16,1,10,1,9,1,10,1,9,1,8,1,9,1,13,1,9,1,11,1,9,1,11,1,13,1,11,1,13,1,9,2,8,1,7,1,13,2,5,66,28,9,8,1,17,2,9,1,13,3,6,2,7,1,30,1,29,1,28,2,6,1,8,1,9,3,12,1,17,1,13,1,28,5,9,1,11,1,6,1,28,12,}, {28,3,29,1,28,5,30,1,6,1,29,1,13,2,24,1,9,1,10,1,11,3,14,2,11,1,8,1,6,1,9,1,10,1,13,1,8,1,17,3,9,4,12,3,24,1,13,1,8,2,17,1,9,4,13,1,8,1,9,1,17,1,9,1,12,1,9,1,8,1,13,2,7,1,6,1,13,1,12,1,11,1,9,1,12,1,9,2,24,1,9,2,24,1,28,28,29,1,6,1,29,1,6,1,12,1,17,2,13,1,7,1,28,5,8,2,9,1,24,1,10,2,8,1,13,3,8,1,13,1,7,2,13,1,7,1,8,1,15,1,14,1,8,1,29,1,28,1,29,1,7,1,28,1,29,1,7,1,13,1,30,1,28,1,29,1,30,1,28,2,30,1,28,2,6,1,5,1351,28,3,6,1,28,1,30,1,13,1,7,1,13,3,9,1,8,1,13,1,8,1,13,1,8,2,9,1,13,1,24,1,8,2,13,1,24,1,6,1,9,1,13,1,8,1,7,2,13,1,8,2,13,1,7,1,24,1,10,1,24,2,12,1,8,1,10,1,8,1,10,1,8,2,13,2,24,1,6,1,8,1,6,1,13,1,6,1,7,1,6,2,7,2,6,1,7,1,30,1,7,1,28,1,29,1,6,1,28,1,13,1,7,2,13,1,8,1,13,2,9,2,10,1,17,2,12,2,10,2,11,2,12,1,11,3,17,6,16,1,12,1,9,1,12,1,9,2,11,2,9,2,11,2,8,3,11,1,8,1,9,2,11,2,17,4,16,1,17,3,16,1,17,4,16,1,17,1,16,1,17,2,16,2,17,1,16,4,17,7,16,1,17,2,16,1,17,4,16,2,11,1,17,1,16,2,17,5,12,1,10,1,11,1,12,1,9,1,10,1,9,1,10,3,9,1,11,2,17,1,12,1,11,1,9,1,11,2,12,2,11,1,9,1,17,1,10,1,17,1,12,1,17,1,12,1,11,2,17,1,11,1,17,1,11,1,12,1,17,1,12,1,11,1,12,1,10,1,17,2,11,1,17,3,11,1,12,1,11,1,12,2,11,1,12,2,11,2,17,1,12,1,11,1,10,1,17,1,12,1,17,1,12,1,11,1,12,4,17,1,12,1,17,2,12,1,17,2,9,1,17,1,11,1,17,1,10,1,12,4,10,1,12,2,17,1,11,2,12,1,17,2,12,1,17,2,12,3,17,3,10,1,17,5,12,1,17,4,12,1,17,2,11,1,17,1,11,1,17,2,12,1,17,11,12,1,17,1,12,1,17,7,11,1,17,2,11,1,17,2,11,1,17,4,11,1,10,1,11,1,9,1,11,1,10,1,9,1,11,1,10,1,9,1,10,2,11,1,10,3,9,2,12,1,9,2,11,1,10,1,9,1,10,1,9,1,10,1,17,1,9,1,10,2,9,1,12,1,11,1,10,1,9,1,10,1,11,1,10,1,9,1,12,1,11,2,9,2,11,2,12,1,17,34,12,1,17,2,12,1,17,3,11,1,12,2,17,39,9,1,10,1,12,1,10,1,24,1,12,1,10,1,24,3,13,1,10,1,6,1,24,1,13,3,9,1,8,1,24,1,7,1,8,1,24,1,8,1,13,2,6,1,8,1,13,2,6,1,8,1,24,1,13,1,24,1,13,1,8,2,10,2,12,1,9,1,10,2,12,1,9,1,10,2,9,1,24,1,12,1,10,1,12,1,10,1,24,1,12,2,24,1,10,1,13,2,6,1,13,2,29,1,6,2,7,3,28,1,7,1,6,1,29,1,6,1,28,1,6,2,29,1,30,1,6,3,30,1,6,2,8,1,13,1,28,1,7,1,30,2,7,1,13,1,30,1,28,1,30,1,33,1,5,195,28,14,13,1,17,2,11,1,17,1,11,1,9,1,11,1,9,2,8,1,12,3,9,1,8,2,9,1,8,1,13,2,6,1,33,1,5,67,28,8,30,1,13,1,17,2,9,1,24,1,13,1,6,1,8,1,6,2,30,1,6,1,30,1,28,1,30,1,8,1,24,1,8,1,9,1,17,2,9,1,28,4,29,1,16,1,8,1,6,1,28,3,30,1,28,8,}, {28,1,6,1,28,6,13,1,29,1,13,1,29,1,13,1,6,1,11,3,12,1,9,1,10,1,17,1,15,1,8,1,9,1,24,1,9,1,13,1,9,1,11,1,16,1,17,1,11,1,9,1,11,1,17,1,12,1,9,3,8,1,7,1,13,1,8,1,10,1,8,1,11,1,10,1,8,1,6,1,8,2,17,2,12,1,8,1,9,1,24,1,6,1,8,1,13,1,24,1,11,1,17,1,12,1,16,1,9,1,8,1,13,1,24,1,15,1,13,1,30,1,28,12,30,1,28,15,30,1,7,1,29,1,11,1,12,1,17,1,24,1,7,1,28,1,30,1,28,4,10,1,9,1,12,1,10,1,9,1,24,1,13,1,9,1,6,1,13,1,7,1,13,3,8,1,12,2,10,1,15,1,29,1,30,1,28,1,30,1,7,1,30,1,6,1,7,1,28,2,30,1,6,1,28,2,6,1,28,2,6,1,5,1347,13,2,30,1,28,2,6,3,8,1,13,1,7,1,8,1,13,2,7,1,13,1,8,1,13,2,9,3,8,2,13,1,8,1,11,1,24,1,13,2,8,1,24,1,13,2,24,4,6,1,8,1,10,1,9,1,24,1,9,1,8,1,24,1,10,1,8,1,24,1,8,1,24,1,8,1,13,2,6,1,13,1,6,2,29,1,30,1,28,1,6,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,7,1,8,1,13,2,24,1,8,1,9,1,10,1,11,1,17,1,9,2,10,1,11,1,10,1,11,1,10,1,12,1,17,2,12,1,17,9,16,1,11,1,9,1,11,1,9,3,12,1,9,1,12,1,9,7,8,1,11,2,16,1,17,1,16,3,17,1,16,2,17,3,16,1,17,1,16,1,17,1,16,1,17,1,16,5,17,3,16,2,17,7,16,2,17,3,16,1,11,1,17,1,16,1,17,6,16,2,11,1,9,1,11,2,13,1,9,1,8,1,9,4,11,1,9,1,11,1,10,1,11,1,17,1,10,1,11,5,17,1,11,1,17,2,11,2,17,2,12,1,11,1,12,1,11,1,17,1,11,1,17,1,11,1,12,1,17,7,12,1,17,5,11,2,12,3,11,1,17,1,11,1,12,1,17,5,12,1,11,1,9,1,12,1,11,1,17,2,10,1,17,1,12,3,10,1,11,1,17,2,12,2,17,2,12,1,17,1,11,1,12,2,11,1,10,1,11,1,10,1,17,3,10,1,17,1,11,1,17,1,12,1,11,1,17,3,11,1,17,2,11,1,12,1,17,8,12,1,17,6,12,1,17,1,12,1,17,16,12,1,17,1,11,1,17,4,11,1,10,2,9,1,11,1,9,1,11,2,10,1,12,1,8,1,11,1,9,1,11,2,9,1,12,1,9,1,10,1,12,1,10,1,12,1,11,2,12,2,11,1,10,1,11,1,10,1,9,2,10,1,8,1,9,1,12,1,10,1,11,3,10,1,24,1,10,1,9,1,10,2,9,1,12,1,9,2,12,1,9,1,12,1,10,1,11,1,17,1,11,1,17,25,12,1,17,16,12,1,17,2,12,1,17,1,12,1,17,19,11,1,17,14,12,1,9,1,10,2,9,1,24,1,9,1,24,1,10,1,13,1,8,1,24,1,13,1,24,1,8,1,13,1,8,1,13,3,8,1,13,3,6,1,8,2,13,2,6,1,7,1,13,1,7,1,24,2,8,1,10,1,17,1,9,1,24,1,10,1,12,1,11,1,12,1,11,1,9,1,10,1,12,1,17,2,9,1,10,1,17,1,10,1,12,1,9,1,12,1,8,1,6,1,13,1,24,1,6,1,7,1,29,1,6,1,7,2,6,1,30,1,28,1,29,1,6,1,29,1,30,1,6,1,29,1,7,1,30,1,8,1,6,2,7,1,30,1,28,1,7,1,28,1,6,1,28,1,6,1,29,1,28,2,6,2,9,1,5,193,28,13,30,1,9,1,17,2,16,1,8,1,9,1,11,1,10,1,17,1,9,2,16,1,8,1,9,5,13,1,6,1,13,1,5,69,28,9,13,1,17,3,8,1,13,1,7,1,8,1,13,1,30,1,29,1,6,1,30,1,6,1,28,1,13,1,12,1,8,2,17,2,9,1,28,2,30,1,28,1,29,1,9,1,8,1,6,1,28,12,}, {28,3,30,1,28,1,30,1,29,1,28,2,29,1,6,3,13,1,16,1,9,1,12,1,8,2,16,1,12,1,17,1,16,1,11,1,9,1,13,1,9,1,8,1,9,1,17,3,12,1,9,1,17,1,12,1,17,1,9,1,12,1,8,1,13,1,30,1,9,1,15,1,16,2,13,1,8,1,13,1,9,2,16,1,17,1,12,1,11,1,12,1,11,1,8,3,10,1,11,1,17,3,9,1,24,1,8,1,9,1,10,1,8,1,29,1,28,12,30,1,28,12,30,1,28,1,6,1,29,1,30,1,13,1,10,1,17,2,9,1,29,1,28,2,30,1,28,2,6,1,24,1,17,1,12,2,24,1,9,1,6,3,13,1,7,1,13,1,8,3,15,1,12,1,14,1,16,1,13,1,30,1,29,1,6,1,29,1,6,1,30,1,6,1,28,3,30,1,28,2,7,1,28,2,13,1,5,1343,33,2,30,1,28,4,30,1,7,1,13,3,8,1,13,2,8,1,7,1,13,1,7,1,8,1,13,5,7,1,8,2,13,1,24,3,8,2,13,3,7,1,8,3,13,1,7,1,13,1,10,2,8,1,24,1,8,1,7,1,13,1,24,1,8,1,13,1,10,1,9,1,6,1,8,1,6,1,29,1,6,1,28,1,6,1,30,1,28,1,29,1,7,1,30,2,29,1,28,1,6,1,7,2,13,3,9,1,10,2,13,1,9,2,10,1,12,1,11,1,10,1,11,1,10,1,12,1,11,1,17,1,12,1,17,11,11,1,10,1,11,2,9,1,8,1,9,1,24,2,9,1,10,1,9,4,12,1,9,4,16,2,17,1,16,2,17,1,16,2,17,1,16,4,17,2,16,2,17,1,16,1,17,2,16,3,17,1,16,1,17,5,16,1,17,2,16,1,17,1,11,1,16,1,17,1,16,1,11,3,17,2,16,2,9,1,11,2,10,1,9,2,13,5,8,2,16,1,9,3,12,2,9,1,17,1,10,2,11,1,17,1,11,1,17,1,10,1,12,2,11,2,17,1,12,1,11,3,12,1,11,1,12,1,9,1,11,4,17,7,12,1,11,1,17,2,11,2,17,1,11,1,12,2,10,1,17,2,11,1,17,4,12,1,11,1,17,4,12,1,17,3,12,1,17,2,12,1,17,1,11,1,17,2,11,1,12,3,17,1,12,1,17,2,12,3,11,1,17,2,11,1,17,1,11,1,9,1,12,1,10,1,11,1,12,1,10,1,17,1,11,1,12,2,17,1,12,1,17,4,12,1,17,3,12,1,17,17,12,1,17,3,12,1,17,2,12,1,17,3,11,1,17,2,12,1,11,2,9,1,12,1,10,1,12,1,11,1,10,1,12,2,11,1,10,1,17,1,12,1,11,1,17,1,9,1,11,1,9,1,17,1,11,1,10,1,12,1,11,1,10,1,12,1,9,1,11,1,9,1,12,1,9,1,10,1,11,1,10,1,12,1,10,2,9,2,24,2,9,1,24,1,9,1,10,1,9,3,10,2,9,1,10,1,9,1,11,1,12,1,9,1,17,1,11,2,17,29,11,1,17,5,11,1,17,3,12,1,17,1,11,1,12,1,17,24,12,1,17,2,12,1,17,8,12,1,17,1,12,1,17,2,12,4,9,1,12,1,10,1,12,1,13,1,8,1,24,1,13,1,9,1,8,1,24,1,13,1,8,1,13,1,7,1,24,1,8,1,13,1,8,1,29,1,13,3,6,1,24,1,13,2,7,1,8,1,10,1,12,2,8,1,9,1,10,1,13,2,12,2,9,1,12,1,17,1,10,1,17,1,10,1,17,1,12,3,17,1,12,1,24,1,13,1,7,1,8,2,7,1,13,2,6,1,13,1,8,1,6,1,29,1,8,1,6,2,13,1,30,1,13,2,6,1,29,2,7,1,6,1,7,1,28,1,6,1,28,1,6,1,29,2,28,1,6,1,30,1,28,1,6,1,13,1,33,1,5,190,6,1,28,13,13,1,17,2,16,1,11,1,9,1,11,4,9,1,11,1,9,4,8,1,6,1,28,1,33,1,5,69,33,1,28,4,30,1,28,1,30,1,28,2,9,1,17,1,16,1,12,1,13,1,7,2,8,2,13,1,30,1,28,2,6,1,29,1,7,1,24,2,8,1,11,1,17,1,8,1,28,3,30,1,6,1,11,1,24,1,6,1,28,1,30,1,28,10,}, {13,1,30,1,28,5,30,1,29,1,7,1,6,1,30,1,6,1,8,1,13,1,17,1,12,1,16,1,11,1,17,1,16,1,14,1,9,1,24,1,9,1,15,1,8,1,11,2,17,3,11,1,17,1,16,1,17,2,11,2,13,1,8,1,13,1,9,1,17,2,13,1,8,2,13,1,8,1,11,2,16,1,17,2,9,1,8,3,13,1,9,1,8,1,17,3,10,1,9,1,11,1,9,1,11,1,15,1,28,24,30,1,6,1,28,1,30,3,6,1,13,1,12,1,17,2,24,1,29,1,30,1,6,1,30,2,28,1,13,1,8,1,17,2,12,1,24,1,7,1,6,2,30,1,29,1,7,1,13,3,9,1,12,1,14,2,15,1,13,1,30,1,6,2,29,1,30,1,28,1,30,2,29,1,30,2,28,2,6,1,13,1,28,1,30,1,5,1342,28,8,6,1,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,11,1,10,1,11,1,9,1,13,2,6,1,13,1,7,1,8,2,9,1,13,1,24,1,8,2,13,1,24,1,13,1,24,1,7,1,8,1,13,1,8,4,7,1,9,1,10,1,24,1,8,3,24,2,13,3,6,3,30,1,29,2,28,1,30,1,29,1,30,1,28,1,29,1,30,1,7,1,6,1,13,5,9,1,8,1,12,1,9,4,12,2,10,1,12,2,11,1,17,1,11,1,17,4,12,1,17,7,16,1,17,1,9,5,24,1,9,3,10,2,8,1,9,7,12,1,11,2,16,2,17,1,16,1,11,1,16,3,17,1,16,1,17,5,16,1,11,1,17,1,11,1,17,4,16,1,17,3,16,4,11,3,17,1,16,1,17,1,16,2,10,1,16,1,9,1,11,1,10,1,11,2,9,3,8,1,6,3,13,2,9,2,8,1,9,2,11,1,10,1,9,1,11,3,17,1,11,4,17,2,11,1,12,1,11,2,10,1,11,1,12,1,10,1,17,1,11,1,10,1,17,1,11,1,17,2,12,1,11,1,17,7,12,2,17,1,12,1,17,5,11,1,17,1,12,1,10,1,12,2,17,3,11,1,17,1,12,1,17,2,11,1,17,3,12,1,17,1,11,1,17,2,11,1,17,1,12,2,17,5,12,2,11,2,10,1,17,1,11,1,10,1,12,1,17,1,11,1,12,1,17,1,9,2,17,1,24,1,12,2,17,1,12,2,11,1,17,2,10,1,12,2,17,2,12,2,17,1,11,1,17,4,12,1,17,14,11,1,12,1,17,1,11,1,17,2,11,1,17,2,12,1,11,1,17,1,10,1,12,1,10,1,12,2,11,1,17,1,12,4,17,2,11,1,17,1,12,1,10,1,11,1,10,1,12,1,10,2,12,1,10,2,11,1,12,1,10,2,24,1,12,1,10,1,9,3,8,1,9,2,10,1,11,1,8,1,24,1,9,2,8,1,9,1,12,1,11,1,12,1,9,3,10,1,11,1,12,1,9,1,17,1,11,1,12,1,11,3,17,19,11,1,12,1,17,5,12,1,17,3,12,1,17,9,12,1,17,1,12,1,17,4,12,1,17,32,12,1,17,1,10,1,17,2,12,1,17,1,10,2,12,1,8,1,9,1,8,1,13,1,10,1,24,3,8,2,13,2,8,2,13,2,6,1,7,2,8,1,29,1,24,2,7,1,8,2,13,1,8,1,10,1,24,2,12,1,11,1,13,1,10,1,9,1,11,1,10,1,12,2,10,1,9,1,13,1,10,1,17,1,12,1,8,1,24,1,8,1,6,1,7,1,13,2,8,1,13,3,9,1,7,1,13,1,7,1,6,1,13,2,6,2,7,2,6,1,29,1,28,1,7,1,29,1,30,1,6,2,28,1,6,1,7,1,30,2,7,1,6,1,28,1,30,1,28,1,5,189,6,1,28,13,9,1,17,2,11,1,16,2,10,1,11,4,9,1,10,1,9,2,13,3,5,71,13,1,28,3,6,1,28,4,29,1,9,1,17,2,12,1,9,1,7,1,13,3,29,2,30,1,6,1,30,2,8,1,12,1,24,1,9,1,17,1,12,1,8,1,28,5,9,1,8,1,28,13,}, {30,1,6,1,28,2,30,2,29,1,13,1,6,2,13,1,6,1,13,1,8,1,12,1,17,1,16,1,17,1,16,3,17,1,13,1,24,1,9,1,24,1,9,1,10,1,13,1,17,4,16,1,17,1,12,1,11,1,17,1,15,1,8,3,17,1,15,1,16,1,12,1,13,2,8,3,16,1,17,2,12,1,9,3,10,1,8,1,13,1,24,1,17,3,9,2,12,1,15,1,14,1,9,1,30,2,28,3,30,1,29,1,30,1,28,5,29,2,28,2,30,1,28,2,30,1,28,4,13,1,28,1,6,1,7,2,8,1,12,1,11,1,17,1,14,1,10,1,7,1,28,3,30,1,28,1,6,1,24,1,12,1,17,2,24,1,8,1,30,1,6,2,28,1,29,1,24,1,7,1,24,1,10,1,9,1,17,2,14,1,8,1,6,1,13,1,6,1,30,2,6,1,28,1,6,1,28,6,6,1,28,1,13,1,5,1337,33,1,28,8,6,2,13,2,9,2,8,1,9,3,13,1,9,1,8,1,13,2,8,1,13,2,8,1,7,1,13,2,8,2,24,1,8,2,9,1,7,2,13,1,24,2,8,2,13,1,8,1,6,1,24,1,8,1,24,1,8,1,13,1,24,1,13,1,8,1,24,1,7,1,8,2,7,2,29,2,28,1,30,1,28,1,30,1,28,1,29,1,30,1,6,1,29,1,6,1,7,1,13,2,7,1,8,1,13,1,24,1,9,1,12,1,9,1,24,1,9,1,11,1,9,1,12,1,11,2,12,2,17,4,12,1,17,2,12,1,17,7,16,1,17,1,16,1,9,1,10,1,9,1,24,1,9,1,24,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,8,2,9,2,16,1,11,1,16,5,11,2,17,5,11,1,16,1,11,2,17,1,16,1,10,1,16,2,17,1,16,1,10,1,16,1,11,2,17,1,10,1,16,1,11,2,10,1,17,1,16,1,11,3,17,1,10,1,11,2,10,1,11,1,10,1,9,2,10,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,10,1,11,1,10,1,11,3,12,1,11,1,16,2,17,1,9,1,11,1,9,1,11,2,17,1,12,2,17,1,11,1,9,1,17,1,11,3,17,1,11,1,17,5,11,1,17,4,11,1,17,1,12,1,11,1,12,1,17,2,11,1,17,4,11,1,17,5,11,1,17,6,12,1,17,2,11,1,17,1,9,1,17,3,12,1,17,2,12,2,17,1,12,3,11,1,12,3,11,1,9,1,17,1,11,1,17,1,10,1,12,2,10,1,12,2,9,1,12,2,10,1,17,1,12,1,11,1,12,1,11,1,12,1,17,2,12,1,17,1,12,1,11,1,12,1,17,2,11,1,12,2,11,1,17,1,10,1,11,1,12,1,11,1,17,11,11,1,17,3,11,1,12,1,11,3,12,3,11,1,17,1,11,1,10,1,11,3,17,4,12,3,11,1,12,2,9,1,12,1,10,1,12,1,11,1,12,4,9,1,12,3,10,1,12,1,10,1,12,1,11,1,8,1,10,2,9,1,24,2,12,1,9,1,10,2,8,1,9,1,8,1,10,1,24,1,10,4,9,1,8,1,11,1,17,1,9,1,11,1,10,1,11,1,12,3,11,2,17,26,12,1,17,2,12,1,17,9,12,1,17,17,11,1,17,5,12,1,17,3,11,1,17,12,9,1,17,1,12,1,17,2,12,1,8,1,17,1,12,1,10,3,8,2,24,3,13,1,7,2,8,1,7,1,13,1,7,1,24,1,13,3,7,3,10,2,8,1,13,1,6,1,8,2,13,1,24,1,9,1,24,2,8,1,10,1,24,1,12,3,17,2,12,3,24,1,10,1,13,1,24,3,9,1,10,1,13,1,8,1,13,1,6,1,13,1,7,1,24,1,13,2,6,1,7,1,13,1,30,1,8,1,6,3,7,1,6,1,30,1,7,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,29,1,28,2,7,1,30,1,13,1,5,186,28,14,16,1,17,2,16,2,17,1,10,1,16,2,11,3,16,1,9,2,13,1,5,73,13,1,28,3,30,1,28,2,30,1,28,1,6,1,12,1,17,1,14,1,11,1,12,1,7,1,8,2,13,1,6,1,7,1,6,1,30,1,29,1,30,1,13,1,24,1,8,1,9,1,17,2,28,2,30,2,29,1,6,1,24,1,9,1,28,13,}, {29,1,28,3,30,1,28,1,6,1,28,3,30,1,6,1,28,1,13,1,8,1,17,2,16,1,17,1,16,2,14,1,24,1,9,1,13,1,24,1,8,1,24,1,13,1,12,1,17,2,16,1,11,1,10,1,17,1,11,1,10,1,12,1,11,1,8,1,9,1,12,1,14,1,17,1,9,1,8,2,9,1,13,1,9,2,17,1,10,1,17,1,11,1,9,2,10,1,6,1,8,1,12,1,17,3,16,1,17,1,12,1,16,1,14,1,15,1,29,1,28,2,30,1,28,4,30,1,28,1,30,3,28,2,30,1,28,6,30,1,28,2,6,1,30,3,13,1,24,1,9,1,17,2,14,1,10,1,6,1,28,1,30,1,28,3,30,1,9,1,12,1,17,1,10,1,8,2,29,1,30,2,29,1,30,1,13,1,7,1,13,1,24,2,17,2,14,1,9,1,7,1,6,2,29,1,30,2,28,1,30,2,28,5,29,1,28,1,30,1,5,1334,33,1,13,1,28,9,6,1,7,1,13,1,8,1,9,1,13,2,24,1,10,1,9,1,8,2,9,1,8,1,7,1,9,1,13,1,8,1,24,1,8,1,13,1,9,1,13,1,24,1,13,1,9,1,13,1,8,1,24,1,8,2,24,1,8,1,13,2,9,1,6,1,13,2,24,1,12,1,7,1,10,1,9,1,8,1,9,1,13,1,8,1,13,2,9,1,29,1,30,3,29,1,28,1,30,2,29,1,28,2,30,1,13,3,24,1,8,2,9,1,7,1,8,1,9,1,10,1,9,1,10,2,9,1,11,1,12,1,11,1,17,17,16,1,11,1,16,1,9,5,13,1,8,1,9,1,8,3,9,1,8,3,13,1,9,3,11,1,9,2,11,2,17,1,11,1,16,2,17,2,16,1,17,1,16,1,11,2,9,2,12,1,9,1,10,1,11,1,17,1,9,2,13,1,8,2,10,1,9,1,16,1,11,1,9,2,11,1,16,1,11,1,9,1,12,1,16,1,11,2,9,1,11,2,9,2,11,1,9,2,8,1,10,1,9,2,8,1,9,2,12,1,11,1,9,1,12,1,17,1,9,2,11,1,9,2,11,2,16,1,11,1,16,1,9,1,16,1,11,1,17,1,11,1,10,1,17,1,12,1,9,1,12,1,11,1,12,2,11,1,17,1,11,1,17,4,12,1,17,8,12,1,17,1,12,1,17,1,12,1,17,7,12,1,17,7,11,1,17,4,12,1,11,1,17,1,11,1,12,1,11,1,12,2,17,1,10,1,17,1,11,1,10,1,12,2,10,2,11,1,12,1,10,3,12,1,10,1,11,2,12,2,17,1,10,1,9,2,10,1,11,1,17,1,10,1,12,1,11,1,12,3,11,2,17,1,10,1,12,2,10,1,9,1,12,1,11,2,9,1,10,2,12,2,17,1,12,2,17,9,11,1,17,2,12,1,17,1,10,1,11,1,10,1,17,1,12,1,11,1,12,2,11,1,12,1,11,1,17,1,11,2,17,5,9,1,12,1,11,1,12,2,17,1,12,1,10,1,11,1,12,1,10,1,12,2,10,1,8,1,24,2,10,3,12,1,11,2,24,2,10,4,9,1,10,2,12,1,13,1,12,1,24,1,10,1,9,1,10,1,12,2,17,1,9,1,10,1,24,1,12,1,10,1,11,1,12,1,11,1,9,1,10,1,12,1,11,3,17,16,11,1,17,7,12,1,11,1,17,10,12,1,17,11,11,1,17,8,12,1,17,9,12,1,17,4,12,2,17,9,12,1,17,2,12,1,17,1,10,1,24,1,17,1,8,1,24,2,10,2,13,1,24,2,8,2,7,2,8,2,7,1,8,1,13,1,8,1,24,1,7,1,8,2,24,1,8,3,24,1,13,2,7,1,10,1,9,1,24,2,12,2,24,1,17,1,12,1,17,1,10,2,13,1,24,1,12,1,17,1,13,1,10,1,8,1,7,1,6,2,8,1,13,1,8,1,7,1,6,1,13,1,8,1,6,1,7,1,13,1,7,1,6,1,30,1,6,2,29,1,7,1,28,1,6,2,28,2,6,2,28,1,30,1,28,1,30,2,28,1,30,1,13,1,5,184,28,14,17,3,16,1,17,1,11,4,16,1,9,2,13,1,9,1,13,1,5,74,13,1,28,4,30,1,28,3,7,1,24,1,16,1,11,1,10,1,24,3,13,1,8,1,30,1,6,5,24,2,8,1,9,1,17,1,12,1,6,1,28,4,30,1,11,1,8,1,28,13,}, {28,7,29,1,6,1,13,1,6,1,30,1,28,1,7,1,24,1,12,1,17,3,14,3,9,2,13,1,9,1,12,1,16,1,8,2,17,4,10,2,17,1,16,1,11,1,15,1,10,1,9,1,12,1,17,1,11,1,24,1,7,1,8,1,6,1,8,2,12,1,17,1,11,2,12,1,10,1,9,1,8,3,9,1,17,3,16,3,12,1,14,1,9,1,13,1,29,1,28,2,30,1,28,2,30,1,28,1,30,1,28,8,30,2,29,1,28,2,30,1,28,2,30,1,28,1,29,1,8,1,9,1,24,1,9,1,8,1,9,1,8,1,6,1,30,1,28,4,6,1,24,1,12,1,17,1,15,1,8,1,6,1,8,1,6,1,29,1,13,1,30,1,6,2,13,1,9,2,17,3,9,2,7,1,6,1,28,3,6,1,29,1,28,2,30,1,28,2,6,1,9,1,28,2,5,1331,33,1,13,1,30,1,28,7,30,1,28,1,30,2,8,1,13,2,7,1,13,1,9,2,8,1,13,1,24,1,9,2,8,1,24,1,8,1,9,1,13,1,9,1,24,1,9,1,8,3,13,1,8,1,9,1,24,1,13,3,8,1,13,1,8,1,13,1,24,1,8,2,13,1,8,1,9,1,8,2,9,2,6,1,7,1,13,1,6,1,7,2,6,3,28,1,30,2,28,2,30,1,29,1,6,2,8,1,13,1,8,1,9,1,13,1,10,1,9,3,24,1,8,1,9,1,10,1,11,2,17,21,16,3,12,1,9,1,11,1,13,1,9,1,8,2,24,2,8,1,9,1,13,1,9,1,8,5,9,2,11,2,16,1,11,1,16,6,17,1,16,2,9,1,11,2,9,2,10,1,9,1,11,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,10,1,8,1,9,2,11,1,9,1,11,1,16,1,12,1,11,2,16,1,9,1,17,1,13,1,16,1,9,1,11,2,10,1,11,2,9,1,8,1,12,1,9,1,12,1,10,1,9,1,17,1,11,1,17,1,11,2,16,1,11,1,16,1,11,1,10,1,16,1,9,1,16,1,11,1,12,1,17,1,11,2,17,3,10,1,11,1,17,1,11,2,12,2,17,8,12,1,17,3,11,1,17,1,11,1,17,1,12,1,17,3,11,1,12,1,17,11,11,1,17,3,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,1,12,1,11,3,12,1,11,2,10,1,12,4,11,1,12,1,10,1,12,2,11,2,12,2,10,1,11,1,9,1,17,1,9,1,12,1,11,1,10,1,17,1,12,2,11,1,12,1,11,1,17,1,9,1,12,1,24,1,12,1,10,1,24,1,9,1,12,2,24,1,9,2,10,2,9,1,17,1,12,1,17,1,12,1,11,1,12,1,17,2,12,1,17,4,12,1,17,2,10,1,17,3,11,1,17,2,11,1,17,3,12,1,17,3,11,1,17,1,12,3,17,1,10,1,12,1,10,1,9,1,12,1,17,1,10,1,17,2,12,2,17,1,12,3,11,1,10,1,9,1,10,5,24,1,12,1,10,2,8,1,10,1,9,1,12,1,10,4,9,1,24,1,13,1,10,1,11,1,9,1,12,1,10,2,11,1,9,2,12,2,9,1,10,1,9,1,10,1,11,2,17,2,11,1,17,7,16,1,17,7,11,1,12,1,17,17,12,1,17,9,9,1,12,2,17,7,12,1,17,4,11,1,17,1,12,1,17,2,12,1,17,3,12,1,17,1,12,1,11,1,17,7,12,1,17,5,12,1,10,1,12,2,24,1,9,1,24,3,8,1,13,2,7,1,13,1,8,1,24,1,13,1,7,1,8,2,24,2,9,2,13,2,8,1,13,1,7,1,8,2,13,1,8,1,7,1,8,1,24,1,12,3,9,1,10,2,24,1,12,1,17,1,12,1,17,1,12,1,9,1,8,2,9,1,6,1,13,1,8,1,7,1,8,1,7,1,13,1,7,1,13,1,24,1,7,1,30,1,7,1,13,2,8,1,30,2,7,1,6,2,30,1,28,1,29,2,28,1,30,1,28,1,30,1,28,1,30,1,6,2,30,1,13,2,5,182,30,1,28,13,16,1,17,1,16,1,17,2,16,1,10,1,9,1,16,1,9,1,8,1,13,2,5,76,13,1,28,8,30,1,9,1,10,1,11,1,9,1,13,3,24,2,13,1,6,1,29,1,6,1,29,1,6,1,9,2,8,1,9,1,17,2,30,1,28,4,6,1,12,1,8,1,28,13,}, {28,3,29,1,28,1,6,1,28,2,30,1,28,1,29,1,28,1,7,1,6,1,8,1,12,1,17,2,14,1,17,4,9,2,10,1,9,2,13,1,9,1,17,2,16,1,9,1,8,1,16,1,12,1,9,1,17,1,10,1,9,1,16,1,17,3,8,2,9,1,8,1,13,1,9,1,10,1,9,2,11,2,9,1,8,2,24,1,13,1,17,8,14,1,9,1,13,1,30,1,28,3,30,1,28,3,29,1,28,2,30,1,28,7,30,1,28,2,30,2,28,3,29,1,13,1,8,1,24,1,13,1,9,1,12,1,13,1,6,1,28,1,30,2,28,2,29,1,8,1,12,1,17,1,11,1,24,1,13,1,29,1,6,2,30,2,6,1,13,2,8,1,12,1,9,1,14,1,9,1,8,2,7,1,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,9,1,28,2,5,1328,13,2,28,9,30,2,6,1,13,1,8,1,13,1,8,1,13,2,9,2,13,1,10,1,9,1,13,1,9,1,13,1,9,1,8,1,9,2,8,1,24,1,8,1,9,1,8,1,13,1,8,1,10,1,13,1,9,1,13,1,8,1,24,1,7,1,13,1,8,1,24,1,13,2,8,2,6,1,13,2,8,1,12,1,24,1,13,4,7,1,13,1,7,1,6,2,28,1,30,1,29,1,6,1,30,4,6,1,30,1,8,1,9,1,13,1,8,2,12,1,11,1,10,3,9,1,11,3,17,19,16,2,17,1,11,1,12,1,17,1,11,1,9,1,8,2,13,1,8,3,24,1,8,2,9,1,24,1,7,1,13,1,24,1,9,1,24,1,8,1,9,1,11,3,16,4,17,1,16,2,11,1,8,1,9,1,13,1,9,1,24,3,9,2,8,2,13,1,8,1,13,2,9,1,10,1,8,1,9,2,11,1,9,1,11,1,17,1,9,1,17,1,11,3,9,1,10,1,16,1,9,1,11,3,17,1,16,1,10,1,16,1,9,1,11,1,9,2,11,2,16,1,17,1,11,1,17,2,16,1,17,1,16,2,11,1,17,1,16,1,10,1,17,1,11,2,12,1,17,2,11,5,17,15,11,1,17,3,12,1,17,2,11,1,17,1,12,2,17,5,12,3,17,7,12,1,17,2,12,1,17,1,11,1,12,1,17,1,12,2,17,1,10,1,12,1,10,1,11,1,17,1,10,1,12,2,10,1,12,1,11,1,12,1,10,1,11,1,10,1,12,4,11,1,12,1,17,1,10,1,12,1,17,1,12,1,11,2,17,1,11,2,17,2,12,1,11,1,12,1,8,1,12,1,24,3,9,3,24,2,10,1,8,1,24,2,10,1,24,1,12,1,24,2,17,7,12,1,17,2,12,1,17,1,12,1,17,4,12,1,17,13,10,1,17,2,11,2,10,1,12,2,11,1,17,2,10,1,17,1,12,2,11,1,9,1,12,1,10,2,9,1,10,1,9,2,12,2,10,1,24,1,9,1,10,2,12,1,11,1,12,2,24,1,12,4,11,1,10,1,24,1,12,1,10,3,12,1,9,1,10,1,9,4,10,1,9,1,10,1,11,2,17,2,12,1,17,30,11,1,17,1,11,1,17,1,11,1,17,12,11,1,17,11,11,1,17,2,11,1,17,3,12,1,17,1,12,2,17,2,11,1,12,1,17,9,12,1,10,1,12,1,10,2,24,1,12,1,9,1,12,1,10,1,24,1,8,1,24,1,13,1,8,1,6,1,8,1,13,1,7,2,10,1,24,1,13,1,24,1,8,1,13,1,8,1,7,1,13,1,8,1,6,1,8,1,6,1,13,1,8,1,9,1,13,1,24,1,10,1,8,1,12,2,17,1,12,1,10,1,17,1,12,1,10,1,12,4,8,1,12,1,7,1,10,1,24,1,8,1,24,1,7,1,13,2,8,2,13,1,6,1,13,1,8,1,6,1,13,1,30,1,13,1,30,1,6,1,7,1,30,1,6,1,28,1,7,1,28,2,30,1,28,1,6,1,28,1,29,1,30,2,6,1,9,1,5,179,33,1,30,1,28,13,17,5,9,4,13,2,5,78,13,1,28,2,30,1,28,5,29,1,10,1,17,1,12,1,24,2,8,1,24,2,8,1,13,1,8,1,6,3,29,1,8,1,9,1,8,2,16,1,11,1,29,1,28,4,13,1,15,1,8,1,28,13,}, {30,1,28,4,30,3,13,1,6,1,13,1,30,2,7,1,10,1,17,1,14,1,17,4,14,1,17,1,9,2,11,1,13,1,17,1,8,1,16,1,17,3,11,2,10,2,17,1,16,1,11,1,10,1,16,1,17,3,9,1,13,3,7,1,9,2,17,1,16,1,12,1,17,1,16,1,9,1,8,1,13,2,11,1,17,5,12,2,16,1,17,1,13,1,6,1,28,1,30,2,28,2,30,1,28,6,30,1,28,11,30,1,28,1,6,1,13,2,10,1,8,1,12,1,9,2,6,1,29,1,13,1,29,1,28,1,29,1,6,1,7,1,17,1,10,1,12,1,8,2,6,2,13,2,6,2,13,1,28,1,13,1,16,1,9,1,15,1,14,1,9,1,30,1,6,1,30,1,29,1,28,2,30,1,28,3,30,1,28,4,30,1,28,1,13,1,5,1323,33,1,13,2,28,11,6,1,28,1,13,1,6,1,13,2,8,1,13,2,9,1,13,1,8,3,9,2,8,1,9,1,8,1,9,2,13,1,9,1,10,1,9,2,13,1,24,1,8,2,24,5,8,4,13,4,7,1,6,1,11,1,10,1,8,1,13,2,29,1,7,1,13,1,7,1,29,1,28,1,6,2,28,1,6,1,29,1,28,2,30,1,6,1,13,2,24,2,9,1,8,1,17,2,10,1,11,1,9,2,17,1,11,1,12,1,16,2,17,19,11,2,17,3,12,1,10,1,9,1,8,1,9,1,13,1,24,2,8,2,13,1,7,1,13,3,8,2,9,1,13,1,8,1,11,1,9,1,16,1,11,2,16,4,17,1,10,1,9,2,8,1,9,1,24,1,9,2,8,1,9,1,7,1,8,1,7,1,8,1,13,1,9,1,8,1,13,1,10,1,9,3,12,1,11,1,16,1,11,1,9,1,11,2,9,1,11,2,9,1,11,1,12,1,9,2,16,1,10,1,9,1,11,2,12,1,16,2,11,2,12,1,16,5,17,1,11,1,17,1,11,1,17,2,11,1,17,1,16,1,17,1,9,1,16,1,17,1,11,1,16,1,17,1,11,1,17,7,11,1,17,15,11,1,12,1,17,13,11,1,17,4,11,1,17,2,9,1,17,3,11,1,17,2,12,2,17,1,11,1,12,4,11,1,24,1,17,1,12,1,11,1,12,1,17,1,12,2,9,1,12,1,17,3,12,1,17,1,12,3,9,1,12,1,17,1,10,1,17,2,12,4,10,1,17,1,12,1,11,1,24,1,11,2,9,1,24,1,10,1,24,1,8,2,24,1,10,1,8,1,24,1,10,1,12,1,17,1,24,1,17,1,12,1,17,3,12,1,17,2,11,2,17,3,12,1,17,22,11,1,17,3,12,1,10,1,12,3,11,1,10,1,12,1,17,1,11,1,9,1,11,1,9,1,12,1,9,1,11,1,9,2,11,1,10,1,11,1,24,1,8,1,10,2,9,1,24,1,12,1,24,3,11,1,10,4,24,1,9,1,11,1,9,3,10,1,9,1,11,1,9,2,17,1,10,1,11,1,12,1,17,30,11,1,17,3,11,1,17,11,12,1,17,2,11,2,17,11,12,1,17,5,12,3,17,3,12,1,17,9,12,2,17,1,12,1,10,1,17,1,10,1,12,1,10,1,12,1,10,1,24,1,10,1,13,1,24,1,8,1,13,1,7,1,24,1,17,1,10,1,13,3,6,1,13,1,7,1,8,1,7,1,13,1,6,1,13,2,7,2,24,1,7,1,13,1,8,1,10,1,24,1,17,1,24,1,9,1,10,1,12,1,17,1,10,1,9,1,12,1,17,1,9,1,10,1,12,1,10,3,13,3,24,1,7,1,8,2,7,1,8,1,13,1,30,1,8,1,13,1,6,1,7,1,13,1,28,1,30,2,7,1,6,1,28,1,6,1,30,1,28,1,30,1,29,1,6,2,30,1,6,1,28,1,30,1,13,1,33,1,5,176,33,1,13,1,28,13,17,3,11,2,16,2,9,2,5,80,13,1,28,7,30,1,6,1,16,1,17,1,9,1,8,1,13,1,8,1,9,1,11,1,9,1,6,1,13,2,6,1,7,1,29,1,8,1,9,1,8,1,9,1,17,1,9,1,29,1,28,4,24,1,10,1,8,1,28,13,}, {28,7,30,1,6,1,29,1,8,1,6,1,7,1,13,1,8,1,24,1,17,1,14,1,17,4,16,1,9,2,8,1,9,2,8,1,16,1,17,3,9,1,17,1,11,1,16,1,17,2,16,1,11,1,10,1,17,3,13,4,29,1,9,2,16,2,10,1,17,1,9,3,7,1,10,2,17,6,16,1,17,2,13,1,30,2,28,1,29,1,28,10,30,1,28,10,30,1,6,2,13,3,8,1,9,1,17,1,9,1,30,1,7,1,13,1,6,2,30,2,13,1,9,1,17,2,12,1,13,1,30,1,29,2,7,1,30,1,6,1,13,2,8,1,13,1,10,1,17,1,9,1,10,1,13,1,30,2,28,3,30,1,28,1,29,1,30,1,28,1,30,1,28,2,13,1,30,1,28,1,13,1,5,1322,28,12,30,2,29,1,13,4,9,1,13,1,9,1,8,1,7,1,9,1,8,1,13,1,8,1,9,1,8,2,7,1,6,1,13,1,8,1,6,1,13,2,9,1,7,1,8,1,10,1,13,1,10,1,8,1,13,1,8,1,9,1,13,1,8,1,24,1,8,1,9,1,13,1,8,2,7,1,13,1,7,1,6,1,24,1,13,1,7,1,13,1,6,1,30,1,6,1,29,1,6,1,28,1,6,1,30,1,6,1,30,1,7,1,30,1,6,1,7,1,6,1,9,1,13,1,8,1,9,1,10,1,11,4,9,1,10,2,11,1,12,1,17,22,16,1,11,2,17,1,11,2,9,1,11,1,13,1,9,3,24,1,13,2,8,1,13,5,8,4,10,2,11,1,12,1,10,1,17,3,16,1,17,1,9,1,13,1,8,1,9,1,24,1,13,1,8,3,9,1,13,1,6,1,13,2,6,1,13,2,8,2,13,2,9,2,11,1,16,1,12,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,17,1,11,3,16,1,11,1,17,1,11,2,17,1,16,1,17,1,16,1,11,1,12,1,11,1,9,1,11,1,17,1,11,1,17,1,16,2,17,6,9,1,17,1,16,1,17,1,11,1,12,2,11,1,12,2,17,7,12,1,17,5,11,2,12,1,17,1,11,1,17,6,11,2,12,1,17,5,11,2,17,2,12,1,17,6,11,1,17,3,12,2,17,2,11,1,12,1,9,1,12,2,17,1,10,1,17,1,11,1,17,3,11,5,17,3,12,1,17,2,12,1,17,2,12,1,10,1,17,4,11,1,17,2,10,1,11,1,12,1,17,1,12,2,17,1,10,2,12,1,10,2,24,1,10,1,8,1,24,1,8,2,9,1,8,1,24,2,10,1,12,1,10,2,12,4,17,2,12,4,17,1,12,1,17,1,12,2,17,2,12,1,17,6,12,1,17,14,12,3,11,1,12,1,10,2,17,1,12,1,9,1,12,1,11,1,10,2,12,1,24,1,11,1,9,1,8,1,24,1,11,1,12,1,8,1,11,1,10,1,9,1,11,1,9,1,24,1,10,1,11,1,24,1,9,1,24,1,11,1,9,2,10,1,8,1,17,1,13,1,9,1,8,1,11,1,24,1,10,1,9,2,10,1,11,2,17,1,12,1,17,44,12,1,17,2,9,1,17,7,12,1,11,1,17,9,11,1,12,2,17,1,12,3,17,1,12,1,11,1,12,1,17,1,12,1,10,1,17,5,12,5,10,1,12,4,24,1,12,1,9,1,10,1,12,1,17,1,24,2,8,2,24,1,13,1,8,2,13,2,6,1,13,1,8,1,29,1,8,1,7,1,8,1,24,2,13,1,24,2,17,1,10,2,17,1,11,1,12,2,10,1,12,1,10,1,11,1,12,1,24,2,12,2,9,1,10,1,24,1,10,1,29,1,13,1,8,1,6,1,13,1,8,2,6,1,24,1,7,1,6,1,7,1,8,1,13,1,6,1,7,1,13,1,29,1,30,1,29,1,28,1,29,2,7,1,30,2,28,1,9,1,6,1,13,1,28,1,5,175,30,1,28,13,29,1,17,3,11,1,9,2,13,1,5,82,28,8,30,2,14,1,17,1,12,1,17,1,10,1,17,1,24,2,9,1,7,1,13,2,6,1,7,1,6,1,8,1,9,1,8,1,17,1,16,1,17,1,28,5,6,1,15,1,24,1,28,13,}, {28,1,30,2,28,2,30,1,28,2,30,1,29,1,7,3,6,1,13,2,9,1,16,3,17,2,16,1,9,1,8,1,9,1,8,1,9,2,12,1,17,4,12,1,16,3,17,3,16,2,17,2,8,1,13,5,9,1,16,1,10,1,9,1,12,1,8,2,9,1,8,1,9,1,11,1,17,5,12,1,11,1,14,1,17,1,8,1,7,1,6,1,28,8,29,1,28,1,29,1,28,1,30,1,28,3,30,1,28,1,29,1,28,6,6,1,13,1,24,1,13,1,9,1,10,1,11,1,8,1,29,1,7,1,13,2,30,1,6,1,30,1,13,1,9,1,17,2,9,1,8,2,6,1,13,1,6,2,13,1,6,1,7,1,8,2,11,1,9,1,14,1,8,1,6,1,29,2,28,1,30,2,28,1,30,1,28,9,13,1,5,1319,33,1,13,1,28,11,30,1,28,1,6,2,8,2,7,1,8,1,9,1,8,1,13,3,8,1,13,3,8,2,13,1,9,1,10,1,13,1,10,1,13,1,8,1,13,1,7,1,8,2,24,2,13,1,9,1,13,2,8,1,13,2,7,1,8,1,13,4,6,2,13,1,6,1,8,1,13,2,6,1,7,1,6,1,28,2,30,1,7,1,6,2,30,2,13,1,29,1,6,1,13,2,9,1,8,2,11,1,12,1,17,1,9,1,10,2,9,1,11,1,10,1,17,2,11,1,17,21,11,1,16,1,10,1,11,3,17,1,10,1,8,1,9,1,8,3,13,3,7,1,8,2,13,1,8,3,24,1,8,1,9,1,10,3,9,1,12,1,17,2,16,1,11,1,9,2,8,1,13,1,8,2,24,2,9,1,13,1,7,2,29,1,13,2,24,1,13,5,9,1,8,1,9,1,11,2,8,1,9,1,10,1,9,1,11,1,16,1,11,1,12,1,11,2,9,2,16,2,17,2,12,1,17,4,11,1,17,3,16,2,17,1,16,1,17,5,16,2,17,3,11,2,17,2,11,1,16,1,12,1,16,1,17,1,11,2,12,1,17,2,11,1,17,2,12,1,11,1,17,1,12,1,17,4,11,1,17,21,11,1,17,10,12,1,17,2,12,1,17,4,10,1,12,1,11,1,17,1,12,2,17,1,11,1,12,1,10,1,17,2,10,2,17,1,12,1,17,1,10,1,11,1,17,4,12,1,17,3,10,1,17,2,12,3,17,1,12,3,11,1,10,1,12,2,9,1,8,1,12,2,24,1,10,1,13,1,24,4,10,1,24,1,12,1,17,1,9,1,17,1,10,1,9,1,17,1,10,1,12,1,11,1,10,1,12,2,11,1,9,1,17,1,11,1,10,1,12,1,17,1,11,1,17,4,12,1,17,11,12,2,17,1,12,3,17,2,11,1,12,7,10,1,17,1,11,1,12,3,9,2,12,3,10,1,24,2,12,1,9,1,12,1,24,1,9,2,10,1,24,1,12,2,24,1,10,1,12,1,8,1,10,1,9,2,10,1,9,3,11,1,9,1,12,1,10,1,12,1,17,29,11,2,12,1,17,4,11,1,17,4,12,1,17,4,11,1,17,5,12,1,17,8,12,1,17,5,12,1,17,7,12,2,9,1,17,1,11,1,10,1,12,1,10,1,12,1,17,4,12,1,11,1,12,2,10,1,17,3,10,1,12,2,9,1,24,1,10,1,8,1,13,1,6,1,8,2,13,1,9,1,7,1,24,1,7,1,8,1,7,1,8,1,6,1,29,1,7,1,6,1,8,1,13,1,7,1,24,1,13,1,10,2,9,1,10,1,12,1,9,1,10,1,12,1,8,1,10,2,17,1,10,1,12,3,24,2,12,1,8,1,10,1,30,1,8,1,13,1,24,1,7,2,13,1,8,1,7,1,6,1,8,1,7,3,13,1,29,2,6,1,29,1,6,1,29,1,30,1,6,1,28,1,10,1,6,2,30,1,13,1,33,1,5,172,6,1,28,14,30,1,14,1,17,2,16,1,9,1,13,1,5,83,28,4,29,1,30,1,29,1,28,2,6,1,14,1,17,3,9,1,17,1,9,2,8,1,13,1,7,1,13,2,7,1,6,1,9,1,11,1,9,1,11,1,17,1,13,1,28,5,8,1,14,1,13,1,28,13,}, {6,1,28,6,30,1,28,1,30,1,28,1,6,1,8,1,28,1,30,1,24,1,8,1,9,2,11,1,16,1,17,1,12,1,8,1,13,1,24,1,13,2,9,1,17,4,16,1,17,6,16,1,11,1,9,1,17,1,16,1,10,1,13,3,7,2,8,1,9,1,17,1,16,1,10,1,8,1,12,1,11,1,9,1,11,2,17,4,16,1,12,2,14,1,17,1,9,1,13,1,29,1,28,1,30,2,28,2,29,1,30,1,28,1,6,1,28,3,6,1,28,3,30,1,28,3,30,1,28,1,30,1,28,2,13,1,8,2,24,1,13,1,10,1,17,1,9,1,28,1,30,1,6,2,29,1,6,1,30,1,9,1,17,2,14,1,9,1,13,1,29,1,30,1,13,2,30,1,7,1,8,1,13,1,24,1,9,1,10,2,17,1,8,1,30,1,6,1,28,1,30,2,28,1,30,1,28,3,30,1,28,3,30,2,28,1,30,1,5,1318,28,8,6,1,28,3,30,1,28,1,6,1,13,2,7,1,13,1,8,1,13,3,8,3,13,1,8,2,13,1,9,2,8,1,13,2,8,1,9,2,6,1,13,1,7,1,13,3,7,1,13,1,8,2,13,6,6,1,7,2,13,1,7,1,29,1,6,2,7,1,13,1,7,2,6,1,28,2,30,4,28,1,6,1,7,1,30,1,6,1,7,2,9,2,8,1,10,2,17,2,9,1,11,2,17,1,11,2,17,16,16,1,17,8,16,2,10,1,17,1,9,1,10,1,9,2,12,1,8,1,24,1,8,3,7,1,13,1,7,1,13,2,8,1,13,1,7,1,8,1,24,1,13,1,9,3,11,1,12,1,16,2,11,1,17,1,9,1,8,1,13,1,10,1,8,1,13,1,24,1,13,1,8,2,6,2,7,1,6,1,8,1,13,1,7,2,8,1,13,2,8,1,9,4,11,1,12,1,11,1,17,1,11,1,9,1,17,1,11,1,16,1,11,1,17,1,11,1,10,1,17,1,12,1,11,1,17,1,11,1,17,1,16,1,12,1,17,1,16,2,11,1,17,1,16,3,17,1,16,1,17,2,16,5,17,5,16,1,12,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,16,1,17,2,16,2,17,1,11,1,17,1,16,3,17,2,16,1,17,15,12,1,17,4,11,1,12,1,17,5,10,1,17,3,11,1,17,3,12,1,17,1,10,1,17,5,12,1,17,1,11,1,12,1,17,1,12,1,17,1,12,1,11,2,12,1,17,2,12,2,17,1,12,1,17,1,12,2,17,1,12,1,17,2,12,2,17,1,12,1,17,1,12,2,17,1,12,2,17,2,12,4,10,3,9,1,10,1,9,1,10,1,8,1,10,1,24,1,12,1,8,1,12,1,10,1,9,3,10,1,17,1,12,2,11,1,10,1,9,1,11,1,12,1,9,1,11,1,17,1,9,1,17,1,12,2,11,1,17,2,12,1,17,1,12,1,17,9,12,1,17,2,12,1,17,1,12,1,17,1,12,2,17,1,12,2,11,1,12,1,17,1,11,1,12,6,10,1,12,2,11,1,10,1,12,1,9,1,11,1,12,1,9,1,12,3,10,1,12,1,10,1,17,1,12,1,10,1,12,1,9,4,13,1,9,2,11,1,9,1,10,1,9,1,12,1,10,1,11,1,17,44,12,1,17,2,12,1,17,8,12,1,17,6,12,1,17,1,12,1,17,3,12,2,17,3,12,1,17,1,11,1,17,1,12,1,10,1,17,2,12,1,11,1,17,1,12,1,17,4,12,2,17,1,12,1,17,5,12,1,17,1,8,1,12,1,10,1,24,2,13,1,8,1,13,1,24,1,8,1,13,1,8,1,24,1,8,2,9,1,13,1,7,1,8,4,13,1,8,2,24,1,8,1,12,1,17,1,10,1,12,2,10,1,12,2,24,2,12,2,8,1,24,1,8,1,24,1,6,1,8,1,7,1,6,1,13,1,24,1,13,2,24,1,13,2,6,1,8,1,6,2,7,1,13,1,6,2,30,1,13,1,30,1,13,1,7,1,6,2,30,2,13,1,30,1,28,1,6,1,5,171,28,15,29,1,14,1,17,1,11,1,9,2,5,84,28,9,13,1,17,4,10,1,9,1,8,1,13,5,7,1,8,1,7,1,9,1,24,1,17,1,9,1,16,1,8,1,28,5,13,1,24,2,28,13,}, {28,7,30,2,29,1,6,3,30,1,7,2,8,1,12,1,16,2,9,1,17,2,9,1,8,1,9,1,13,3,9,1,17,4,16,1,12,1,17,5,9,2,17,3,7,1,8,2,6,1,13,1,9,1,17,2,12,1,17,2,9,1,6,1,9,2,11,2,17,3,16,1,9,2,17,1,14,1,9,1,6,1,29,1,28,1,30,1,28,10,30,3,28,1,30,1,28,8,30,1,6,1,13,1,7,1,8,1,15,1,24,1,8,1,30,2,7,1,13,1,28,1,6,1,28,1,8,1,12,1,17,2,8,2,6,1,29,1,13,2,30,1,8,1,13,1,8,1,13,1,9,1,8,1,11,1,14,1,11,1,6,1,28,1,30,1,29,1,28,1,30,2,28,3,30,1,28,3,13,1,28,2,6,1,5,1316,28,7,30,1,28,2,29,2,28,1,30,1,6,1,13,1,6,2,13,1,8,3,9,2,8,1,13,1,8,2,11,1,7,1,9,1,8,1,13,1,7,1,8,3,13,2,8,1,7,1,29,1,13,2,7,1,9,1,13,3,24,1,8,1,6,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,6,2,29,1,6,1,30,2,13,1,6,1,30,1,6,1,28,1,29,1,30,1,29,1,6,1,30,1,8,2,7,1,13,1,7,1,10,1,24,1,10,3,12,1,9,1,10,1,9,1,11,2,17,3,11,1,17,11,16,2,17,3,16,1,17,2,16,1,17,2,16,1,17,1,16,2,10,1,11,1,10,1,11,2,9,1,24,1,8,2,13,1,8,2,13,1,8,1,13,2,8,1,7,1,13,1,8,2,9,3,10,1,11,4,16,1,12,1,17,1,9,1,13,4,6,1,8,3,9,1,13,1,29,1,13,1,28,1,24,1,7,2,8,3,13,1,9,1,10,1,9,3,10,1,9,1,11,1,9,1,11,1,10,1,16,1,12,1,9,1,10,1,11,1,9,1,8,1,10,1,9,1,10,1,12,2,11,1,16,1,17,10,16,5,17,5,16,1,17,1,11,1,9,1,11,2,17,1,9,1,17,2,11,1,16,1,11,1,17,1,11,1,17,2,11,3,17,4,16,1,17,23,12,1,17,5,11,1,17,10,12,1,17,5,11,1,17,1,12,1,17,2,12,1,17,4,12,1,17,3,12,2,17,1,12,3,17,1,12,1,10,1,11,1,12,1,11,1,17,2,12,3,10,1,17,1,12,2,17,1,9,1,12,1,9,1,17,1,12,1,10,1,12,1,24,1,10,2,24,1,10,1,8,1,9,1,10,1,8,3,9,1,17,1,9,1,10,1,17,1,12,2,17,1,12,1,10,1,12,4,11,1,17,1,11,1,12,1,17,1,12,1,17,1,11,3,17,1,12,2,17,6,11,1,17,1,12,1,17,4,12,1,17,3,12,1,17,1,12,1,11,1,17,1,11,1,12,4,9,1,12,1,10,2,12,1,10,1,12,2,10,1,12,1,8,1,12,1,10,1,12,1,10,2,12,1,24,1,12,2,10,2,9,1,10,2,11,3,9,1,11,1,8,1,9,1,11,3,12,2,17,10,16,1,17,15,12,1,17,2,11,1,17,3,11,1,17,3,12,1,17,11,12,1,17,6,11,1,17,5,12,1,17,2,11,1,17,8,12,1,11,1,17,1,11,1,12,1,11,1,12,3,11,1,17,7,12,1,17,1,12,3,11,1,12,1,17,2,10,1,24,2,10,1,8,1,24,1,9,1,13,1,24,2,13,1,24,1,7,1,30,1,6,2,8,2,13,1,7,3,13,1,24,1,8,4,24,2,8,1,12,1,8,1,12,1,8,1,12,1,9,1,10,1,12,1,10,1,8,1,12,2,24,1,12,1,8,1,24,1,6,1,24,2,6,1,24,1,13,1,24,1,13,1,12,1,13,1,7,1,6,1,30,1,7,1,30,1,29,1,6,1,30,1,8,1,30,1,29,3,6,1,28,1,30,1,28,1,13,1,33,1,5,168,28,16,6,1,17,2,16,1,11,1,5,85,28,3,30,1,28,1,30,1,28,3,13,1,14,1,17,2,11,1,12,1,8,1,11,1,12,1,8,1,13,1,9,1,13,1,8,1,29,1,7,1,24,2,10,1,11,1,17,1,9,1,28,5,10,1,11,1,24,1,28,13,}, {28,1,30,1,28,8,6,1,30,1,28,1,29,2,6,1,16,1,8,1,11,1,16,1,17,3,13,4,9,1,13,1,16,1,17,10,16,2,11,1,17,1,14,1,10,1,12,1,8,3,24,1,9,1,12,1,16,1,17,1,9,1,11,1,9,1,8,3,11,1,17,3,11,1,12,1,9,1,11,1,17,1,15,1,11,1,6,1,30,3,28,1,29,1,30,1,28,4,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,3,30,1,7,2,8,2,24,1,12,1,9,1,13,1,30,1,6,1,29,1,6,1,28,1,6,1,28,1,9,1,12,1,17,1,14,1,12,1,13,1,6,2,13,5,8,1,13,1,9,1,17,2,14,1,9,1,30,2,28,1,30,1,28,1,30,1,28,5,30,1,28,2,7,1,28,2,30,1,5,1314,28,13,6,1,28,1,13,3,8,1,9,1,8,1,13,1,9,1,8,3,13,1,9,2,8,1,9,1,13,1,10,1,9,1,13,4,9,2,13,4,6,1,7,1,8,3,13,1,8,1,13,3,7,1,6,1,29,2,7,1,30,1,29,1,30,1,6,2,30,1,28,1,29,1,30,1,8,1,28,1,30,1,28,1,29,1,28,1,6,1,29,1,7,1,13,1,8,1,24,1,10,1,12,1,9,1,17,1,12,1,17,2,11,1,10,3,12,1,10,1,17,7,16,1,17,1,16,3,17,3,16,2,17,6,16,1,17,1,16,1,17,1,16,3,11,2,12,1,9,1,13,2,24,1,13,1,9,1,8,1,9,1,13,1,8,1,7,1,13,1,8,1,6,1,7,1,8,1,9,1,8,1,24,1,8,2,24,1,11,1,9,1,11,1,17,1,11,2,9,1,8,1,13,1,8,1,7,1,6,1,8,4,29,1,6,1,7,1,6,1,7,1,8,1,7,2,13,1,8,1,13,1,8,1,9,2,11,1,9,1,12,1,9,1,11,1,16,1,10,1,9,2,8,1,12,1,9,1,8,1,9,1,8,1,13,1,9,1,10,1,9,1,12,1,10,1,9,1,11,1,16,1,17,1,11,1,17,1,16,2,11,1,16,1,11,1,17,1,9,1,17,1,16,1,11,1,17,1,11,4,9,1,11,2,16,1,9,1,17,1,10,1,11,1,12,1,17,1,16,1,9,1,10,1,9,1,10,1,17,1,11,2,17,2,16,1,17,1,11,1,17,24,11,1,17,17,11,1,17,2,11,1,17,4,12,1,17,4,12,2,10,1,17,3,12,2,17,2,12,1,17,2,12,1,10,1,11,1,17,1,12,4,17,1,12,1,11,1,17,1,10,2,12,2,17,1,12,1,17,1,12,2,11,1,12,1,11,1,12,1,10,1,17,1,12,1,10,1,24,2,10,1,24,1,8,1,24,1,10,4,12,1,17,2,12,4,11,1,17,1,11,1,17,2,10,1,12,1,17,1,11,1,9,1,11,2,10,3,12,2,17,4,12,1,17,15,11,1,17,1,12,1,17,2,10,1,12,3,11,1,12,1,11,1,12,1,10,1,11,1,12,1,10,1,11,1,12,1,17,1,9,1,10,2,11,1,10,1,12,2,11,1,12,2,10,1,11,1,9,1,8,1,9,1,11,1,24,1,10,1,9,1,11,1,10,1,9,2,11,3,17,50,12,1,17,1,12,1,17,16,12,2,17,4,12,1,17,1,12,1,17,1,10,1,17,1,12,2,17,1,12,1,11,1,17,4,12,1,17,4,10,1,12,2,17,1,12,4,24,1,12,1,13,1,24,1,13,2,10,1,8,2,13,1,7,2,13,2,8,1,7,1,13,1,7,2,13,1,8,1,7,1,10,1,9,1,12,1,10,2,9,2,17,1,24,1,9,2,12,1,24,2,12,1,10,1,24,1,8,3,13,1,24,1,13,1,8,1,13,2,7,1,8,1,13,1,7,2,13,1,7,1,30,1,7,2,13,1,28,1,13,3,8,1,28,1,6,1,7,1,30,1,28,2,9,1,5,161,13,2,28,5,30,1,6,1,28,1,29,1,28,4,30,2,28,1,7,1,9,1,6,1,28,1,30,4,6,1,5,85,28,3,30,1,28,2,30,1,28,2,30,1,17,3,10,1,24,1,11,1,8,1,9,1,8,1,9,1,8,1,29,1,13,1,7,1,6,1,9,1,24,1,10,1,17,2,9,1,28,5,24,1,17,1,6,1,28,13,}, {28,8,29,1,28,2,29,1,30,1,29,2,7,1,24,1,8,1,12,1,11,1,16,1,17,2,10,1,13,1,8,1,6,1,13,2,9,1,17,5,16,1,17,4,16,1,9,1,11,1,17,2,11,1,10,1,9,1,24,1,8,1,9,2,17,2,16,1,9,2,8,1,9,2,8,1,12,1,17,5,16,1,9,1,10,1,15,1,24,1,6,1,28,5,30,1,28,9,30,1,28,8,30,1,28,1,6,1,7,1,10,1,6,1,8,1,24,1,10,1,24,1,6,1,29,2,30,1,28,1,29,1,28,1,24,1,10,1,12,1,11,1,15,1,8,1,13,1,7,1,6,1,7,1,6,1,7,1,8,1,13,2,8,1,12,2,14,1,9,1,30,1,6,1,30,1,28,1,29,1,28,1,6,1,28,3,29,1,6,1,28,2,6,1,28,2,13,1,5,1312,33,1,28,11,29,1,13,1,6,3,13,3,9,1,8,1,13,2,9,1,13,1,8,1,12,1,9,2,8,1,13,1,6,1,13,2,9,1,13,1,8,1,11,1,9,1,13,1,6,1,29,1,6,1,13,5,6,2,13,1,8,1,13,1,6,1,7,1,29,1,6,3,30,1,7,1,13,1,29,1,30,2,28,1,30,1,28,1,6,1,13,1,6,2,28,2,6,1,13,2,24,2,13,1,9,1,10,2,12,2,17,1,11,1,12,1,11,1,9,1,11,1,9,1,17,3,12,1,17,6,16,1,17,1,16,1,17,1,16,1,17,12,16,1,17,2,16,2,9,1,12,1,11,1,9,2,24,1,8,1,13,2,7,1,13,1,7,1,8,1,13,1,6,1,13,1,7,1,8,1,7,1,13,1,24,1,8,1,13,1,9,2,10,4,9,1,10,1,13,1,6,1,13,1,7,1,13,1,7,1,8,1,24,2,7,1,13,1,6,3,7,1,6,1,13,4,8,1,9,2,12,1,9,1,11,1,10,1,11,1,9,1,24,1,8,1,9,1,8,2,24,1,8,1,9,1,8,1,11,2,9,1,17,3,11,1,12,1,17,4,16,3,17,2,11,2,9,1,16,1,11,1,9,1,11,1,16,1,17,1,9,1,17,2,11,3,17,1,11,1,10,1,17,14,16,1,17,49,12,1,17,7,12,3,11,2,17,1,11,2,17,1,12,1,11,1,17,1,12,4,17,1,11,1,12,2,10,1,12,1,9,1,17,2,11,1,17,3,11,1,17,3,12,1,17,2,12,5,10,1,9,1,10,1,24,3,9,1,10,4,12,3,10,1,17,1,12,3,17,1,12,1,17,3,11,1,12,1,11,2,12,1,11,1,10,2,12,3,10,1,9,1,12,1,10,1,11,1,17,1,12,2,17,8,12,1,17,5,12,1,11,2,17,1,10,1,17,1,12,1,10,2,12,1,9,1,12,3,10,1,12,1,10,2,12,1,11,1,10,1,11,1,12,1,10,2,9,1,10,2,11,1,24,1,10,1,9,2,10,2,9,1,11,1,9,3,10,1,12,2,17,62,11,1,17,9,11,1,17,1,11,1,17,1,11,1,17,2,12,3,17,1,11,1,12,3,17,1,10,1,17,9,11,1,10,1,12,1,17,1,12,1,10,2,12,1,10,2,24,1,13,4,24,1,13,1,7,2,6,1,13,1,8,1,13,1,8,1,7,2,13,2,8,1,24,2,13,1,24,1,8,1,24,1,13,1,12,1,24,1,12,1,10,1,12,1,24,1,10,1,12,1,24,1,9,1,8,1,7,1,24,1,7,1,13,2,7,1,13,3,7,1,29,1,6,1,13,1,28,1,30,1,7,1,29,1,8,1,30,1,7,1,29,1,7,1,30,2,28,1,6,1,28,4,5,156,13,1,28,5,30,1,13,1,6,1,7,1,30,1,7,2,30,2,28,2,30,1,13,1,28,11,33,1,5,85,28,3,30,2,28,4,6,1,14,1,17,2,11,1,9,1,8,1,9,1,24,1,9,1,13,1,8,1,13,1,6,2,8,1,13,1,8,2,10,1,12,1,9,1,28,5,24,1,12,1,24,1,30,1,28,1,30,2,28,9,}, {28,4,6,1,28,3,29,2,6,1,30,1,6,1,29,1,6,2,13,1,9,1,12,3,17,2,9,1,13,1,8,2,13,3,17,4,16,1,17,4,11,1,16,1,8,1,9,1,17,2,16,1,9,1,24,1,9,1,8,1,9,1,10,1,17,2,12,1,11,1,10,1,13,1,9,1,24,1,13,1,9,1,17,2,16,1,17,2,16,1,9,1,11,1,15,1,8,1,6,1,28,19,30,2,28,5,13,1,6,1,8,1,13,1,8,1,9,1,12,1,7,1,29,1,30,1,28,1,6,1,29,2,30,1,24,1,10,1,15,1,17,1,10,1,6,1,7,1,13,1,6,1,13,1,7,1,6,1,8,2,13,1,8,1,9,1,12,1,14,1,9,1,6,1,30,2,6,1,28,1,29,1,30,1,28,1,29,1,28,1,7,1,28,3,7,1,28,2,6,1,5,1311,28,12,6,4,9,1,13,1,8,1,7,1,8,1,13,1,8,5,13,2,6,1,30,1,8,1,6,1,8,1,13,2,8,1,13,2,7,1,29,1,30,1,6,1,13,1,6,1,7,1,28,1,6,1,7,2,6,1,13,1,7,3,6,1,7,1,30,2,28,3,30,1,28,2,6,1,28,1,6,1,28,2,6,3,13,1,7,1,6,2,13,1,24,2,10,1,9,1,17,5,10,1,9,1,10,1,12,2,11,2,17,1,12,1,17,3,16,1,17,1,16,5,17,1,16,1,17,1,16,1,17,2,16,1,17,9,16,1,11,1,16,1,11,1,9,1,11,1,8,1,6,1,8,1,7,1,8,1,13,2,8,1,13,2,7,1,6,3,13,1,7,1,29,1,13,1,8,1,24,1,8,1,9,1,24,1,9,1,11,1,10,1,17,1,9,1,13,1,7,2,8,3,6,1,8,1,24,1,13,1,6,1,13,1,29,1,13,1,6,1,8,1,29,1,8,2,24,1,9,2,11,1,12,1,9,1,10,1,11,1,9,1,11,1,10,1,24,1,13,1,24,1,13,1,24,1,8,1,24,2,10,1,17,1,12,2,17,2,16,1,12,1,11,3,16,1,11,1,17,1,11,1,16,3,11,1,16,3,11,1,17,1,16,3,11,1,17,1,16,1,17,2,16,1,17,1,10,1,17,1,10,1,17,1,11,2,17,61,11,1,17,2,12,1,17,2,12,1,11,2,17,3,12,1,17,1,11,2,17,1,11,1,17,1,9,1,17,1,12,7,11,1,12,1,10,2,17,1,12,1,17,1,12,1,17,3,12,1,17,1,12,3,17,2,12,2,17,1,12,1,8,1,12,1,9,1,24,3,10,1,9,1,10,2,12,1,10,1,12,1,10,1,12,1,17,2,11,1,17,2,12,2,17,1,10,3,12,1,10,1,11,1,12,2,9,1,10,3,12,1,9,1,8,1,12,1,9,1,17,2,12,1,17,12,12,1,17,2,12,2,17,1,11,1,17,3,10,1,11,2,12,2,9,1,11,3,12,1,10,2,12,1,9,1,10,1,11,1,10,1,9,2,11,1,8,1,9,2,24,1,10,1,8,1,9,1,10,1,8,1,17,1,10,1,9,1,10,1,12,1,9,1,17,10,16,1,17,10,12,1,17,16,12,1,17,12,12,1,17,3,12,1,17,28,11,1,17,1,12,2,17,8,10,1,11,1,9,1,10,1,12,1,10,1,24,1,9,1,12,1,24,2,13,2,8,1,24,1,7,1,24,1,13,1,7,1,8,1,7,1,13,1,7,1,29,1,13,1,7,2,13,1,7,1,8,1,13,1,8,1,13,1,24,3,17,1,8,1,24,2,10,1,12,1,10,1,24,3,10,1,8,1,24,1,6,1,13,3,24,1,6,1,8,1,13,1,6,1,7,1,13,2,6,1,13,4,6,1,7,1,6,2,7,1,13,1,6,4,28,1,30,1,13,1,5,151,33,2,13,1,28,2,30,1,28,1,29,1,7,1,13,1,7,1,13,4,9,1,7,1,6,2,13,2,29,1,6,1,30,2,28,7,6,1,33,1,5,85,28,3,30,3,28,3,9,1,14,1,17,2,9,1,10,1,9,1,8,1,24,1,13,2,6,1,13,2,6,1,8,1,13,2,8,1,12,1,17,1,13,1,28,4,30,1,9,1,17,1,6,1,28,1,29,1,28,11,}, {28,1,30,1,6,1,28,4,29,1,28,2,30,1,6,1,28,1,30,1,6,1,28,1,9,1,8,1,11,1,12,1,17,1,16,1,17,1,9,2,24,1,13,3,6,1,11,1,17,3,16,1,17,1,16,1,12,1,16,1,17,1,10,1,8,1,13,1,16,1,17,1,12,1,8,1,7,1,8,1,10,1,13,1,10,1,17,2,11,1,12,1,10,1,9,1,24,2,9,2,17,6,12,1,14,1,10,1,9,1,6,1,29,1,28,16,30,1,28,2,30,1,28,1,30,2,28,2,6,1,8,3,24,1,9,1,15,1,10,1,28,2,6,2,29,1,6,1,30,1,24,1,10,1,15,1,17,1,24,1,9,1,7,2,13,1,6,3,8,1,13,1,8,1,10,2,24,1,17,1,8,1,13,1,28,3,30,1,6,1,7,1,28,3,30,1,28,3,6,1,28,2,13,1,5,1308,33,1,13,1,30,1,28,4,30,1,28,5,30,1,28,1,6,1,13,6,7,1,13,2,9,2,13,3,6,1,13,1,10,1,9,2,8,1,9,1,12,1,8,1,13,1,7,1,6,1,30,2,13,2,6,1,13,1,6,1,30,1,13,1,30,1,6,1,13,1,6,1,13,1,6,2,29,1,30,1,28,1,30,1,28,4,6,2,28,2,30,1,28,1,30,1,29,1,13,1,7,1,30,1,6,1,13,1,8,2,9,2,12,3,17,3,12,1,11,2,10,1,11,2,12,1,17,5,16,1,17,2,16,5,17,2,16,1,17,1,16,1,17,2,16,1,17,4,16,1,17,2,16,1,17,2,16,1,17,1,11,1,8,1,13,1,6,1,8,1,13,1,7,1,13,1,7,1,6,2,29,1,6,2,7,3,29,1,8,3,9,1,8,2,9,3,10,1,9,1,24,1,6,1,13,1,6,1,8,1,7,1,8,4,7,1,6,1,13,1,8,1,13,1,6,1,24,1,6,1,8,1,13,1,9,1,11,1,9,1,10,1,8,1,10,1,11,1,10,1,12,1,8,1,24,1,8,1,13,3,8,1,24,1,8,1,9,1,10,1,12,1,9,1,17,1,9,3,8,1,24,1,9,1,10,1,11,1,12,1,9,1,11,1,16,1,11,1,17,1,16,2,11,2,16,1,17,2,16,2,17,1,16,1,12,1,17,1,11,1,16,1,12,1,17,1,10,1,11,2,17,2,11,1,17,10,16,1,17,48,11,1,12,1,17,1,12,3,11,1,12,1,11,1,12,2,17,2,12,1,17,1,12,4,9,1,17,1,12,3,10,1,12,1,10,1,17,2,12,2,17,1,10,1,12,1,17,1,12,2,10,1,12,1,17,1,12,2,17,1,11,1,17,1,12,3,11,1,12,2,10,1,24,1,10,2,24,1,12,1,9,2,8,1,12,1,10,1,12,2,17,2,11,1,12,1,11,1,17,1,12,2,17,1,10,1,17,1,10,1,17,1,10,1,11,1,12,1,10,1,12,1,10,1,11,1,9,2,11,1,8,1,10,1,9,1,11,1,10,2,9,1,17,1,12,1,17,3,12,1,17,3,12,1,17,6,12,1,17,2,12,3,9,1,11,1,12,2,10,1,17,1,11,1,9,1,10,3,12,2,10,1,12,2,9,1,11,1,17,1,10,1,11,1,17,1,12,1,11,1,24,1,8,2,9,2,10,1,11,1,24,1,11,2,10,1,11,3,17,48,11,1,17,2,11,1,17,3,11,1,17,22,12,1,17,4,11,1,17,11,12,2,17,1,12,1,17,1,10,2,12,1,8,1,17,1,24,1,13,1,8,1,24,1,8,1,13,3,30,1,8,1,13,1,29,1,7,1,13,1,8,1,7,1,13,1,7,1,29,1,24,1,7,1,24,1,13,1,8,1,6,1,12,1,8,1,12,1,24,2,12,1,24,1,10,1,8,1,9,1,10,1,13,5,8,1,7,2,6,1,7,1,13,2,7,1,13,1,7,1,6,1,29,1,6,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,30,3,7,1,29,1,30,2,13,1,5,147,33,1,28,2,30,2,28,1,30,1,28,1,30,1,6,1,13,1,9,1,10,2,17,3,10,1,11,1,24,1,8,1,10,1,13,2,7,1,13,3,28,2,30,1,28,3,5,87,28,4,30,1,28,3,30,1,6,1,14,1,17,1,11,1,10,1,13,1,8,2,24,1,13,1,24,1,13,1,7,1,30,2,8,1,6,1,7,1,9,1,16,1,12,1,8,1,28,5,9,1,12,1,29,1,28,13,}, {30,1,29,1,6,1,30,1,6,2,28,3,6,1,28,1,29,1,6,1,30,2,13,1,8,1,11,1,12,1,16,1,17,4,8,4,13,2,12,1,17,4,16,2,12,1,17,1,16,2,9,1,13,1,17,2,11,1,9,1,13,1,8,1,13,1,9,2,11,1,17,1,11,1,9,2,8,1,24,2,9,2,17,5,9,1,11,2,24,1,9,1,13,1,28,19,6,1,29,1,28,2,30,2,28,2,7,1,8,1,29,1,24,1,12,1,10,1,14,1,6,1,30,1,7,2,6,1,28,1,7,1,13,1,15,1,10,1,16,1,11,1,8,1,13,2,6,1,13,1,6,1,28,1,13,2,8,1,13,1,9,1,11,1,14,2,13,1,28,4,7,1,13,1,30,2,28,1,6,1,28,3,30,2,28,1,6,1,5,1306,33,1,28,14,30,2,13,2,6,1,8,1,7,1,8,1,7,1,9,2,8,1,13,2,6,2,13,1,8,3,13,2,9,1,8,1,9,3,13,1,28,1,30,1,7,1,6,1,30,1,28,1,30,1,6,1,13,1,7,1,6,2,7,2,13,1,28,1,30,2,28,6,30,2,6,1,30,1,6,1,30,1,28,1,6,2,13,1,6,1,29,1,13,2,12,4,17,4,11,7,12,1,17,4,16,1,17,1,16,1,17,2,16,4,11,1,17,2,16,4,17,2,16,1,17,1,16,1,17,2,16,2,17,1,16,3,11,1,8,2,6,1,7,1,8,1,30,1,29,1,6,1,30,1,7,1,6,1,29,1,26,1,30,1,6,2,7,1,6,1,7,1,8,1,13,1,9,1,8,1,24,1,9,1,8,1,11,1,12,1,9,1,8,1,13,1,6,1,8,1,13,1,29,1,7,1,8,3,6,1,8,2,29,1,8,5,9,4,10,1,12,1,9,1,12,1,8,1,10,1,9,1,13,1,8,2,13,1,24,2,10,1,9,1,8,1,24,1,13,1,10,2,8,1,24,1,13,1,9,3,13,1,9,2,11,1,16,4,17,3,16,3,10,1,16,1,17,1,12,1,16,1,17,2,11,1,16,1,17,1,11,1,10,1,9,1,11,4,10,1,9,1,17,1,11,1,16,1,11,3,16,1,9,1,17,1,11,1,16,1,17,2,16,1,17,2,16,1,17,1,16,2,17,1,16,1,17,3,11,1,17,28,11,1,17,4,12,1,17,1,12,2,17,2,11,1,12,1,11,1,9,1,12,1,11,1,24,1,11,1,17,1,11,1,9,1,12,1,11,1,12,1,10,1,12,2,10,1,12,1,11,1,10,1,12,1,10,2,17,1,12,4,17,1,10,1,12,2,11,2,17,1,10,2,11,1,12,2,11,1,12,1,11,1,12,2,9,1,12,1,9,1,8,1,10,2,9,1,12,1,10,1,13,1,10,1,11,1,12,3,10,1,17,1,12,2,17,1,10,1,11,1,17,1,12,3,17,1,12,3,24,1,10,1,24,1,10,1,12,1,9,1,10,1,12,1,24,1,12,1,10,1,12,3,11,1,17,1,11,1,17,9,12,1,17,2,12,1,17,2,12,1,11,1,12,1,11,1,9,1,12,1,11,3,10,1,12,1,11,1,12,1,9,1,24,1,12,1,11,1,10,1,11,1,10,1,12,1,10,2,13,1,10,1,8,1,12,2,9,2,11,1,9,1,11,1,9,1,11,1,12,1,17,1,12,1,17,85,12,1,17,2,12,2,17,5,12,2,9,1,12,1,17,1,10,1,12,3,10,1,12,2,24,1,10,1,24,1,13,1,7,1,13,1,8,1,6,1,29,1,6,1,8,1,29,1,7,1,6,1,13,1,30,1,7,1,6,1,13,2,24,1,13,1,8,2,10,1,12,1,10,1,24,1,8,1,12,1,24,1,13,1,12,1,13,1,8,1,13,2,10,2,6,1,24,1,7,1,13,1,7,2,29,1,30,1,13,3,29,1,6,2,7,2,13,1,6,3,30,1,6,1,7,1,29,1,6,1,30,1,28,3,13,1,5,144,13,1,30,1,28,1,7,1,30,1,28,3,13,1,24,1,12,1,10,1,17,10,11,2,12,1,9,1,11,1,24,1,13,1,6,2,28,5,33,1,5,84,13,1,28,9,8,1,17,2,9,1,12,1,9,2,12,1,9,1,7,1,6,1,8,2,29,1,13,1,8,1,13,1,24,2,10,1,17,1,7,1,28,4,30,1,9,1,17,1,29,1,28,13,}, {28,1,29,2,28,1,30,1,28,2,30,1,28,2,6,3,13,1,29,1,7,1,10,2,17,1,16,1,17,4,24,1,13,1,8,4,12,1,17,4,11,1,17,3,16,2,13,1,24,1,9,1,17,2,9,1,13,2,8,1,6,1,24,1,10,1,12,1,16,1,12,2,9,1,8,1,9,1,8,1,9,1,11,1,16,1,17,3,15,1,12,1,10,1,9,2,6,1,30,1,28,24,29,1,28,1,13,2,6,1,8,1,10,1,14,2,6,3,13,1,29,2,6,1,8,1,9,1,10,1,17,1,9,2,13,3,29,1,30,1,13,1,6,2,13,2,10,1,11,1,14,2,6,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,6,2,28,5,6,1,5,1304,33,1,28,7,30,1,28,4,30,1,6,1,30,2,13,1,7,1,13,3,9,1,13,1,8,1,13,1,9,1,13,2,28,2,9,1,10,1,9,2,8,1,9,5,8,1,9,1,8,1,29,1,13,1,6,1,13,2,6,1,13,1,6,2,28,1,6,3,7,1,6,1,13,1,28,1,30,2,28,7,29,1,28,1,30,1,28,2,7,1,13,2,8,1,9,2,11,1,12,3,17,2,12,1,17,2,11,1,12,1,11,1,17,1,11,1,17,4,11,1,17,2,16,1,17,3,16,10,17,5,16,1,17,1,16,1,17,2,16,2,17,1,16,2,11,2,13,1,29,1,13,1,8,1,6,2,30,2,6,1,30,1,28,2,30,1,29,2,30,1,7,1,6,1,7,1,8,1,13,1,8,1,24,1,8,1,7,1,13,1,9,1,8,1,7,1,9,1,13,1,6,2,7,1,29,1,13,1,6,1,8,1,7,1,8,2,13,1,8,2,13,1,8,1,24,2,11,1,10,1,12,1,17,1,9,1,12,1,11,1,10,1,11,1,9,3,8,1,13,2,24,2,7,1,12,1,7,1,24,1,13,1,8,1,24,1,8,3,13,2,9,2,12,1,11,1,10,1,16,1,11,1,17,5,16,1,17,3,16,1,17,4,16,1,9,1,11,1,9,3,11,3,9,1,11,2,9,1,11,1,16,1,11,1,16,1,17,1,16,1,11,2,10,1,9,1,11,1,16,1,17,1,10,1,16,2,17,1,11,1,16,1,11,1,16,1,17,1,11,1,17,31,12,6,17,1,12,1,24,1,11,1,24,1,10,2,12,2,10,2,11,1,17,1,10,1,12,1,11,1,12,2,10,1,9,1,10,2,12,1,11,1,12,4,10,1,17,1,10,1,12,6,11,1,17,4,12,1,11,1,12,1,17,1,10,1,12,2,11,1,24,1,12,1,10,3,24,4,12,1,13,1,24,1,10,3,12,2,10,1,12,2,10,1,12,1,11,1,12,1,10,1,12,1,10,1,12,1,17,1,10,3,12,1,10,1,12,3,24,1,12,1,9,2,12,3,11,1,12,1,17,4,12,1,17,10,12,3,10,1,11,2,12,1,11,1,17,1,10,1,12,2,11,1,12,2,9,2,17,1,10,1,11,1,10,1,12,1,11,1,9,1,12,1,10,1,9,1,10,1,8,1,12,1,24,1,17,1,10,1,12,2,10,2,9,2,11,1,17,1,12,1,17,1,12,1,17,34,11,1,17,3,12,1,17,20,12,1,17,25,12,1,17,5,12,1,17,1,12,1,17,2,12,1,17,1,12,2,24,1,12,1,8,1,24,1,8,1,24,1,12,1,10,1,24,2,8,1,24,2,29,1,24,1,8,1,13,2,7,2,29,1,6,1,30,1,8,2,24,2,13,1,8,1,24,2,17,1,10,1,9,1,12,1,10,1,9,1,12,1,24,1,8,1,24,2,8,1,13,2,9,1,13,1,7,1,13,2,8,1,7,1,29,1,13,2,6,1,7,2,6,1,7,1,6,2,13,1,6,1,7,2,30,2,7,1,28,4,5,139,33,1,13,1,30,4,28,1,30,1,28,1,30,1,6,1,13,1,17,1,12,1,17,12,12,1,17,3,12,2,9,1,13,2,6,1,28,5,33,1,5,83,13,1,28,9,8,1,15,1,17,1,11,1,10,1,9,1,10,1,11,1,8,2,7,1,13,1,6,2,7,1,6,1,8,1,13,1,10,1,11,1,17,1,30,1,28,5,9,1,10,1,13,1,28,13,}, {28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,29,1,13,1,30,1,13,1,7,2,13,1,9,2,10,1,17,6,24,1,10,1,24,1,9,1,13,2,12,1,17,3,12,1,11,1,17,1,16,1,17,2,16,1,9,1,17,2,16,1,17,1,9,2,8,1,12,1,11,1,8,1,12,1,11,2,12,1,11,1,8,1,9,2,13,2,17,4,10,1,16,1,8,1,9,1,10,1,9,1,6,1,28,21,30,1,28,1,29,1,28,3,6,1,13,1,8,1,6,1,9,1,14,2,24,1,29,1,13,1,8,1,6,2,28,1,7,1,17,1,11,1,12,1,9,1,10,1,8,1,13,1,30,1,6,3,13,1,6,1,7,1,13,1,11,1,10,1,14,1,10,1,24,1,28,4,29,2,13,1,6,1,28,1,13,1,6,1,28,5,13,1,5,1302,28,11,30,1,28,2,30,2,6,1,13,8,8,3,13,1,6,1,7,1,13,1,9,2,13,1,8,1,9,2,13,2,8,1,11,1,9,1,11,1,9,1,8,1,7,1,8,1,6,1,30,1,13,1,7,1,6,2,7,1,28,2,30,2,6,1,30,1,6,1,28,6,29,1,28,4,30,1,29,1,6,1,13,2,7,1,13,1,10,1,9,2,17,8,11,1,12,1,11,1,17,1,11,1,12,1,11,1,12,1,17,4,16,2,17,1,16,3,17,2,16,3,17,1,16,2,17,2,16,1,17,8,16,6,9,1,13,1,7,1,6,3,29,2,30,3,29,2,30,1,29,1,28,1,30,1,13,1,7,1,13,1,6,1,13,5,29,1,11,1,9,1,13,1,8,1,13,1,7,1,29,1,7,2,29,1,7,1,8,2,24,3,8,1,13,1,6,1,8,1,10,1,9,2,13,1,12,2,11,1,12,2,9,2,10,1,24,1,9,1,24,1,9,2,8,1,7,1,24,1,8,1,13,1,9,1,13,1,9,1,24,1,13,1,8,1,13,1,7,1,24,1,9,2,10,1,9,1,12,1,8,1,11,2,16,4,11,1,17,1,16,1,11,1,16,1,11,1,16,1,12,1,11,1,9,1,10,1,9,3,16,1,9,2,10,1,9,1,10,1,11,2,9,1,16,1,9,1,16,1,11,1,17,1,11,2,16,1,9,1,11,1,16,1,10,1,16,1,11,1,16,1,11,1,17,1,11,1,16,2,17,2,11,1,17,28,12,1,17,1,12,1,10,1,12,1,11,3,12,1,8,1,12,1,17,1,10,1,11,1,12,1,8,1,12,3,11,1,12,1,10,1,12,3,9,1,12,1,9,1,10,3,11,1,10,1,24,1,10,1,12,1,10,2,12,2,10,1,12,6,10,1,12,1,17,1,11,1,17,2,12,2,10,1,12,3,10,1,12,1,10,1,12,1,10,2,24,2,8,2,24,2,10,2,12,2,10,1,12,1,10,1,12,1,9,1,17,1,12,1,11,1,17,1,12,2,17,2,12,1,17,1,24,1,10,1,8,1,12,2,9,1,17,1,10,1,12,1,9,1,12,4,11,1,17,4,11,2,17,8,12,1,17,2,11,1,12,3,11,1,12,1,11,1,9,1,17,1,10,1,12,1,9,1,11,4,12,1,9,1,17,1,12,1,10,1,12,1,10,2,11,1,9,1,12,2,11,1,9,1,12,1,10,3,11,1,17,1,11,1,12,1,11,1,12,1,17,23,16,1,17,7,11,1,17,7,11,1,17,20,11,1,12,1,17,26,12,3,11,3,17,5,12,1,17,2,10,2,17,1,12,2,24,1,9,1,24,1,17,1,12,1,10,1,8,1,30,1,8,2,7,1,6,2,13,1,6,1,13,2,6,1,7,1,13,1,7,1,13,1,9,1,10,1,24,1,8,1,10,1,12,1,13,1,24,2,12,1,24,1,10,1,24,1,10,1,12,1,8,3,13,1,8,1,13,1,8,4,6,2,7,1,6,1,13,1,29,1,7,2,6,2,30,1,6,3,29,1,6,1,28,1,6,1,30,1,28,2,6,1,5,137,28,2,30,1,28,6,6,1,10,1,12,1,17,20,12,1,11,1,10,1,6,1,29,1,30,1,28,4,5,83,13,1,28,5,30,1,28,1,30,1,28,1,9,1,14,1,17,2,9,1,8,1,17,1,8,1,24,1,13,3,8,1,13,1,6,1,8,1,13,1,7,1,8,1,17,2,6,1,28,5,11,1,9,1,28,14,}, {30,1,29,1,30,1,28,6,30,1,6,2,29,1,28,1,7,1,30,1,9,1,17,6,16,1,9,1,13,3,6,1,13,1,8,1,17,6,14,1,17,1,16,1,17,1,9,3,14,1,17,2,8,3,13,1,9,1,11,1,16,1,9,1,10,1,13,1,10,1,13,1,9,1,8,2,9,1,16,1,17,2,10,1,12,1,9,2,15,1,24,1,13,1,28,21,30,1,28,5,30,1,7,1,8,2,9,1,14,2,13,1,6,4,29,1,6,1,7,1,9,1,17,1,16,1,10,1,9,1,13,2,29,1,30,2,6,1,29,1,13,2,7,1,8,1,11,1,14,2,13,1,30,1,28,2,6,1,30,1,6,1,28,1,30,2,28,1,29,1,28,5,13,1,5,1301,30,1,28,11,29,1,28,1,6,1,28,1,6,3,13,2,8,1,7,1,8,2,13,1,8,1,13,1,7,1,30,1,7,1,9,1,8,2,30,1,13,1,6,1,30,2,6,1,30,2,13,1,7,1,13,1,9,1,13,1,9,1,13,4,7,1,13,1,6,1,13,1,30,2,28,4,6,1,28,1,30,1,28,4,30,1,28,3,30,1,28,1,29,1,13,1,30,1,6,1,9,1,13,1,12,2,17,1,12,1,17,3,12,1,11,1,12,1,11,1,12,2,17,1,11,1,17,3,11,1,16,1,17,3,16,5,17,1,16,1,17,1,16,5,17,1,16,2,11,1,16,1,17,2,16,1,17,4,16,1,17,1,16,2,17,1,9,1,7,1,13,1,7,1,6,1,30,1,27,1,30,1,29,1,28,4,29,1,30,1,27,2,30,1,6,1,13,1,6,2,7,1,9,1,8,2,13,1,8,1,9,1,10,1,13,1,7,1,6,1,8,1,7,1,6,1,7,1,6,1,24,1,7,1,8,2,24,1,8,1,13,1,24,1,12,1,24,2,9,2,12,1,11,1,9,1,12,1,9,7,8,2,9,1,8,2,13,1,24,1,9,1,24,1,13,2,9,1,13,1,8,2,9,1,8,1,9,1,8,1,9,1,8,1,9,2,10,1,8,1,11,1,9,1,16,2,11,1,16,3,17,1,11,2,9,1,16,1,9,2,12,1,10,1,9,2,10,1,11,1,16,1,11,2,10,1,11,3,9,1,16,1,11,5,9,1,17,1,11,2,17,1,16,1,11,1,17,1,16,1,17,1,11,1,16,2,17,22,11,2,12,1,17,2,11,2,9,1,12,1,10,5,12,1,10,6,12,1,9,1,10,2,8,1,10,1,24,2,10,1,11,1,9,1,12,1,10,3,12,1,24,1,9,1,10,1,11,1,12,2,24,1,12,2,9,1,10,1,12,4,17,1,11,1,10,1,12,1,17,1,12,1,9,1,12,1,11,1,12,1,17,1,10,1,12,1,17,1,12,1,11,1,12,3,24,1,10,1,12,1,24,8,10,2,17,1,10,1,17,1,12,1,17,1,12,4,17,1,12,5,11,1,10,1,9,1,12,1,10,2,12,1,10,2,12,1,10,1,17,1,12,2,17,1,9,1,12,1,11,1,17,1,12,1,17,1,11,1,17,9,11,1,17,6,12,1,17,1,11,1,12,1,10,1,9,1,11,1,9,1,10,2,24,1,12,2,10,4,11,1,12,1,11,1,10,1,17,1,11,1,10,1,12,1,9,2,10,1,11,1,9,1,10,1,9,1,12,1,17,35,12,1,17,1,12,1,17,3,12,1,11,1,10,1,9,1,17,3,11,1,17,7,12,1,17,21,12,1,17,10,11,1,17,3,11,1,17,7,10,1,17,1,10,1,12,2,10,1,24,1,12,3,10,1,17,1,24,2,8,1,13,1,7,1,8,2,7,1,6,1,7,1,6,1,13,1,6,1,8,1,7,1,8,1,24,1,13,1,24,1,8,1,24,5,10,1,9,1,10,1,24,1,10,1,12,1,10,2,24,2,13,1,24,1,13,4,6,1,13,1,6,2,13,1,7,1,6,1,30,1,6,1,7,1,13,1,30,2,13,1,6,1,30,1,6,2,30,1,6,1,30,2,28,1,30,1,33,1,5,132,13,2,28,1,30,1,28,2,30,1,28,1,30,2,6,1,13,1,11,1,17,20,12,1,17,1,12,2,9,1,13,2,6,1,28,3,30,1,13,1,5,81,6,1,28,9,13,1,17,3,11,1,10,2,8,2,9,1,13,1,8,1,29,1,13,1,6,1,29,1,8,1,10,1,11,1,17,1,16,1,6,1,28,5,11,2,6,1,28,13,}, {28,1,6,1,28,2,30,1,28,5,30,1,6,2,7,1,6,2,8,1,12,1,17,6,13,1,6,1,8,1,13,1,8,2,10,1,17,9,12,2,15,1,12,1,14,2,15,1,10,1,8,1,24,1,13,1,10,1,9,1,17,1,16,1,11,1,8,1,9,1,13,1,24,1,7,1,8,2,17,1,16,1,17,1,16,1,8,1,9,1,13,1,10,1,24,1,6,2,28,24,30,1,28,1,29,1,6,1,29,1,8,1,11,1,14,2,13,1,28,1,29,1,6,1,28,3,30,1,9,1,17,1,10,1,16,1,14,1,9,1,7,1,28,1,13,1,29,1,30,1,6,1,7,1,6,1,9,1,13,1,9,1,14,2,7,1,6,1,30,2,6,1,30,1,7,1,13,1,6,1,29,2,6,1,28,5,33,1,5,1297,33,1,13,2,28,5,30,1,28,5,30,4,29,1,30,1,29,2,6,1,7,1,30,1,6,1,7,1,13,4,29,1,13,4,6,3,28,2,30,1,28,1,30,3,28,1,29,1,30,1,13,1,9,1,13,1,8,1,13,2,8,1,30,1,7,1,6,2,29,1,6,1,30,1,28,2,30,1,28,2,30,1,28,4,30,2,6,1,30,1,6,1,28,1,8,3,9,1,8,1,11,1,12,1,17,5,12,2,17,1,12,2,17,5,11,1,17,4,16,1,17,1,16,1,17,2,16,1,17,1,16,2,17,1,16,2,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,4,16,1,17,2,16,1,17,1,11,1,8,1,6,2,7,1,6,1,29,1,30,1,28,1,30,1,28,3,30,1,28,2,30,2,29,1,6,1,29,1,7,1,6,2,13,1,8,1,6,1,24,1,8,1,11,1,24,2,6,2,7,1,6,3,13,1,6,1,24,1,8,2,24,1,8,2,9,1,24,1,8,1,10,1,24,1,11,1,24,1,16,1,9,3,24,1,9,1,8,1,9,1,24,2,8,1,24,1,9,1,24,2,8,2,9,1,13,1,9,2,8,1,10,1,8,1,9,1,10,1,9,2,10,1,9,3,8,1,9,1,8,1,9,2,10,1,9,4,8,1,11,1,8,2,12,1,9,1,16,1,9,1,12,1,16,1,9,2,10,1,12,1,11,1,12,1,11,2,10,1,12,1,11,1,9,1,17,1,11,1,16,3,11,4,16,1,11,1,16,4,17,1,16,1,17,1,11,1,17,21,12,1,11,1,12,1,10,1,11,1,12,1,11,2,12,1,9,2,11,1,12,1,9,2,24,1,9,2,10,2,11,1,12,2,24,1,9,1,10,1,24,1,10,1,8,1,10,1,12,2,10,1,9,1,12,2,9,2,24,1,12,1,9,1,24,1,8,2,24,1,10,3,12,1,24,1,10,1,24,2,9,1,10,1,12,1,17,1,11,1,12,2,10,1,12,2,10,2,12,5,10,1,17,1,12,2,24,3,10,1,24,1,12,1,24,1,8,1,24,1,12,1,9,1,10,1,12,3,11,1,17,1,12,1,17,2,12,1,17,1,11,1,12,4,10,1,12,1,10,3,12,5,10,1,8,1,11,1,12,2,17,4,12,1,17,2,11,1,12,1,17,6,12,1,17,5,10,2,11,1,12,1,10,4,11,1,9,1,10,1,12,1,11,1,10,1,12,3,11,2,10,1,12,1,10,1,11,1,12,1,9,1,12,1,24,1,12,1,11,1,10,2,9,1,10,2,8,2,10,1,11,1,17,18,11,1,17,2,11,2,17,5,11,2,12,1,17,3,11,1,17,5,16,1,17,9,12,1,17,4,12,1,17,28,11,1,17,4,12,1,17,7,12,1,17,1,12,2,17,4,24,1,12,2,10,2,12,1,24,1,7,1,13,1,6,1,7,2,24,1,7,1,6,2,7,1,6,1,13,2,24,1,13,1,24,2,7,1,8,1,24,3,8,1,12,2,24,1,12,1,10,2,24,2,8,1,10,1,24,1,9,1,8,1,13,2,8,1,13,2,29,1,7,1,13,1,28,1,7,1,6,1,30,1,6,1,30,2,6,1,29,2,30,1,7,1,30,1,7,1,30,2,28,1,30,1,28,1,6,1,5,129,33,1,28,1,30,1,6,2,28,1,30,1,28,5,13,1,12,1,17,3,12,1,17,20,12,2,10,1,11,1,13,1,9,1,13,1,6,1,30,1,28,2,6,1,13,2,5,77,6,1,28,9,7,1,17,3,12,2,24,1,9,1,8,1,7,1,8,1,7,1,28,1,7,1,13,1,8,1,7,1,8,1,10,1,17,1,16,1,28,6,9,1,10,1,28,14,}, {28,1,29,1,28,4,30,1,28,1,30,2,29,1,28,1,30,1,28,1,6,2,9,1,11,1,17,6,8,2,7,1,13,1,8,1,13,1,24,1,17,3,12,2,17,2,12,1,17,1,12,2,10,1,17,3,9,1,10,1,8,1,13,1,9,1,8,1,9,1,17,2,9,2,8,3,13,1,9,2,17,3,16,1,12,1,13,2,24,2,6,1,28,23,29,1,28,3,6,2,8,1,7,1,11,1,14,2,10,1,30,1,28,1,29,1,28,1,29,1,28,1,7,1,8,1,11,1,17,2,9,1,8,1,13,1,6,1,7,1,6,1,29,1,7,1,29,1,13,2,8,1,16,3,7,1,30,1,28,1,30,2,29,1,8,1,30,1,6,1,7,1,30,1,13,1,28,2,29,1,28,2,13,1,5,1295,33,1,13,1,28,15,30,1,7,1,30,2,28,2,29,2,7,1,13,1,6,1,13,5,7,1,13,3,28,9,30,1,28,3,13,1,30,1,6,1,13,2,7,2,30,1,6,2,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,3,6,1,30,1,29,1,6,1,13,1,9,2,8,1,24,1,10,1,24,1,17,6,12,1,11,1,17,1,12,1,17,3,12,3,17,1,12,1,17,5,16,1,17,2,16,1,17,1,16,1,17,2,11,1,17,1,16,3,17,1,16,1,11,1,17,2,16,1,17,1,16,3,17,2,16,1,17,1,16,1,17,1,11,1,13,1,29,1,6,2,29,1,28,1,29,1,28,8,30,2,28,1,6,1,8,1,29,1,7,1,8,2,13,1,7,1,8,1,24,1,8,2,13,2,8,1,13,1,6,1,8,1,13,1,24,1,13,1,24,1,8,3,13,1,9,1,24,1,10,1,9,1,8,2,17,1,11,1,9,1,8,1,9,1,8,1,10,3,8,2,24,1,8,1,24,1,9,4,13,1,8,1,12,1,11,1,9,2,11,1,12,1,9,1,24,1,8,1,9,1,8,1,9,5,24,1,8,1,9,1,8,1,13,1,24,1,9,6,8,2,10,1,9,2,8,1,11,4,16,1,12,1,16,1,11,1,17,2,16,2,17,2,16,1,17,1,11,3,16,1,11,1,12,1,11,2,16,3,17,21,12,1,17,2,12,2,10,1,11,1,10,1,17,1,11,1,12,1,9,1,11,1,10,1,12,1,10,1,8,1,10,2,8,1,12,1,10,6,12,1,24,1,10,1,24,1,10,4,11,2,10,1,24,1,12,1,9,1,24,1,12,2,24,1,12,1,24,1,10,2,9,1,12,1,10,2,12,1,24,1,12,1,8,1,12,1,10,1,12,1,10,2,9,1,24,2,12,1,10,1,12,2,11,1,10,2,12,3,10,2,12,1,24,1,12,1,8,1,24,1,10,1,24,4,10,1,12,1,10,3,12,2,11,1,12,3,10,1,17,1,12,1,17,3,10,1,12,2,10,1,12,2,10,1,9,1,12,4,10,1,12,1,11,1,17,1,12,1,11,2,17,1,12,1,17,7,11,1,17,1,12,1,17,4,12,1,11,1,17,1,11,1,9,1,11,1,17,1,10,1,11,3,12,1,11,2,10,1,11,1,12,1,11,1,12,1,11,1,10,1,12,1,17,1,12,1,10,1,12,1,17,1,10,2,12,1,9,1,10,1,9,1,11,1,12,3,9,1,11,2,17,15,16,2,17,1,11,1,12,1,17,1,16,2,17,5,12,2,17,9,16,1,17,1,12,1,17,7,12,1,17,3,12,1,17,2,11,1,17,33,11,1,17,1,12,3,17,1,11,1,17,8,12,1,17,2,12,2,11,1,12,1,8,1,12,1,8,1,13,1,24,1,7,1,24,1,8,1,7,1,8,1,13,1,7,2,6,1,13,1,7,1,13,1,24,1,13,1,10,1,8,1,24,2,10,3,8,1,12,2,10,2,17,1,24,1,13,1,10,1,7,1,24,1,13,1,24,1,8,1,7,1,6,1,13,1,29,1,13,1,6,1,24,1,7,1,6,1,29,2,6,1,7,1,29,1,6,2,7,1,6,1,30,1,6,1,29,1,28,2,6,2,5,126,33,1,13,1,6,1,28,10,7,1,12,1,17,8,12,1,17,1,12,1,17,1,12,1,10,2,17,1,12,1,17,10,12,1,17,2,10,2,24,1,8,1,13,1,6,1,30,2,28,3,33,1,5,74,13,1,28,9,9,1,17,1,12,1,9,1,8,1,12,1,24,1,9,1,13,1,9,1,10,1,8,1,6,1,30,1,6,1,13,1,9,1,8,1,16,1,17,1,13,1,30,1,28,4,7,1,14,1,9,1,30,1,28,13,}, {28,5,30,1,28,2,6,1,30,1,28,2,7,1,30,1,6,1,28,1,24,1,17,7,9,1,8,3,13,2,9,1,17,11,9,1,12,1,17,1,10,2,17,1,13,1,8,1,13,1,9,1,12,1,16,1,17,1,16,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,16,1,17,2,16,1,17,1,13,1,7,1,13,1,8,1,6,1,29,1,28,22,30,1,28,3,7,1,30,1,8,1,6,1,9,1,15,1,14,1,6,1,30,1,28,1,30,1,28,3,30,1,10,1,17,3,9,2,6,1,7,1,6,3,30,1,6,1,13,2,8,1,11,1,17,1,16,1,8,1,29,1,30,2,28,1,29,1,9,1,30,1,13,2,29,1,13,1,28,2,13,1,28,2,13,1,5,1293,13,1,28,13,6,1,30,1,28,1,13,1,30,1,7,1,30,2,28,2,6,1,13,1,7,1,13,2,29,1,13,1,7,1,13,1,7,1,30,1,13,2,6,1,28,2,30,1,28,1,6,1,13,1,29,1,13,1,6,1,30,1,28,4,13,1,28,3,6,2,29,1,28,1,30,1,28,4,30,1,28,1,6,1,28,1,6,1,29,1,30,2,29,1,28,1,6,2,30,1,6,2,13,1,24,1,8,1,12,1,8,1,11,1,24,1,12,2,17,6,11,1,12,1,17,1,12,1,17,3,11,2,17,6,16,1,17,1,16,1,17,3,16,5,11,1,16,4,17,1,16,6,17,1,16,1,17,1,16,1,17,1,16,3,11,1,13,1,29,1,6,1,29,1,30,3,28,9,29,3,13,2,6,1,13,1,8,1,24,1,7,1,9,1,10,1,24,1,13,2,8,4,6,1,24,1,8,1,24,4,8,1,9,3,8,2,9,1,12,1,9,1,13,1,9,1,8,1,9,3,10,1,13,1,9,2,8,2,24,3,8,1,9,1,10,1,8,1,9,2,11,1,24,1,11,1,9,1,11,1,9,3,8,1,10,1,12,1,9,2,8,1,9,3,13,1,7,1,8,3,9,2,10,1,9,1,24,1,17,1,12,2,11,3,9,1,17,1,16,3,12,1,17,1,11,1,17,1,16,1,17,4,16,2,17,1,16,2,17,1,16,2,11,1,16,2,17,18,12,5,17,1,12,3,10,1,17,1,10,2,11,2,10,5,9,2,24,2,10,1,24,1,10,3,11,1,9,1,12,1,9,1,11,1,10,3,11,1,10,1,11,1,17,1,11,1,12,1,10,1,12,1,11,2,10,1,12,3,9,1,12,1,9,1,12,1,10,1,24,4,9,1,24,1,9,2,13,1,9,1,24,2,10,1,24,1,8,1,24,1,10,3,24,1,10,3,12,2,10,2,24,2,8,1,24,3,12,1,24,2,10,3,12,5,17,1,10,1,12,3,17,3,11,1,12,2,17,1,10,1,24,1,12,1,10,3,12,2,11,1,10,1,17,2,11,1,12,2,17,1,11,1,12,2,17,6,12,1,17,8,12,1,17,2,12,2,11,2,17,1,12,1,11,1,12,3,17,1,11,1,10,1,11,1,12,1,11,1,17,1,12,1,11,1,10,1,12,1,10,1,11,2,9,1,11,1,9,2,10,3,9,2,10,1,12,1,11,1,17,1,12,1,17,11,11,1,16,1,11,1,17,1,10,1,17,1,11,3,17,8,11,1,17,21,11,1,17,37,12,1,17,1,12,1,17,2,12,1,17,5,12,1,17,3,12,4,10,1,12,2,17,1,24,1,10,1,24,1,8,1,13,1,8,1,24,1,7,2,13,1,7,1,29,1,8,1,29,1,8,1,7,2,24,1,13,1,24,2,8,2,9,2,24,1,12,1,8,1,10,1,24,2,12,1,9,2,8,1,24,2,13,1,8,1,24,1,7,1,13,1,7,2,29,1,30,1,13,1,7,1,29,1,7,2,29,1,6,2,29,1,13,1,30,1,7,1,6,3,30,1,28,1,33,1,5,123,13,1,30,1,6,3,28,1,30,1,29,1,28,5,30,1,24,1,17,9,12,1,10,1,12,1,24,1,10,1,13,3,9,1,24,1,8,1,9,1,12,1,17,4,12,2,17,2,12,2,10,1,11,2,9,2,13,1,8,1,6,1,7,1,30,1,13,1,6,1,13,2,6,1,13,1,5,69,13,1,28,2,30,1,28,6,8,1,14,1,17,2,10,1,9,1,8,1,9,1,29,1,8,1,13,1,29,1,6,1,8,1,13,1,7,1,8,1,10,1,17,2,13,1,28,5,6,1,14,1,10,1,30,1,28,13,}, {28,9,30,2,28,2,30,3,9,1,12,2,17,5,13,1,8,4,24,1,7,1,17,5,16,1,17,3,10,1,16,1,9,1,17,5,13,1,8,2,6,1,12,1,11,2,16,1,8,2,9,1,13,1,24,1,8,1,13,1,17,5,8,1,13,1,8,2,29,1,28,26,30,1,28,1,6,2,24,2,14,1,9,1,6,1,30,1,28,5,29,1,24,1,17,1,12,1,17,1,9,2,13,2,6,1,29,1,6,2,24,1,7,1,9,1,10,1,17,3,7,1,30,1,28,1,29,1,30,1,8,1,7,1,28,1,13,2,7,1,13,1,28,5,13,1,5,1291,33,1,30,1,28,6,6,1,28,1,29,1,28,1,6,1,28,3,30,1,7,1,29,1,7,1,13,1,28,2,30,1,7,1,9,1,7,1,13,6,6,2,13,3,30,1,28,2,30,1,13,1,6,1,13,1,6,1,7,1,13,1,28,1,30,2,29,1,6,2,30,1,28,5,30,1,28,7,6,2,13,2,6,2,30,1,29,2,30,1,7,1,6,1,13,3,8,1,10,3,24,1,11,1,17,1,11,1,17,2,12,1,17,4,12,2,17,1,12,2,17,7,11,1,17,3,16,1,17,2,16,1,17,2,16,5,17,1,16,3,17,1,16,3,17,1,16,2,17,1,16,1,17,2,16,1,17,1,11,1,9,1,13,1,6,1,7,1,30,2,28,12,29,1,6,2,7,1,6,1,8,1,13,3,9,1,10,1,24,1,8,1,13,2,8,1,6,1,13,1,8,1,13,1,24,1,8,2,24,1,13,2,10,1,24,1,9,1,8,1,9,2,11,1,9,1,12,1,9,4,8,1,9,2,8,2,9,1,8,1,24,2,10,1,9,1,13,1,24,1,9,2,10,1,9,1,11,2,10,1,9,4,13,1,11,1,12,1,9,1,11,1,10,1,13,2,7,1,10,1,8,2,24,1,8,1,10,1,9,1,11,1,10,2,9,1,10,1,11,2,9,2,11,1,16,2,9,1,16,1,17,1,11,1,17,1,11,1,17,1,11,1,17,2,16,2,9,1,16,3,11,1,17,1,12,1,11,1,16,2,17,14,12,1,17,2,11,1,17,2,12,6,10,1,12,3,11,1,10,1,12,1,9,1,11,1,12,1,9,1,10,1,12,1,10,1,9,1,10,1,12,1,9,1,12,1,11,1,17,1,11,1,17,5,11,1,17,1,12,1,17,3,11,1,12,1,11,1,12,2,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,2,10,2,12,1,10,1,24,1,10,4,12,2,8,1,24,1,8,2,10,1,24,1,10,1,24,1,10,1,24,1,10,1,12,3,10,1,12,1,10,1,24,4,10,3,8,1,10,1,24,1,12,1,10,2,12,2,11,1,10,1,12,2,17,1,12,10,10,1,11,1,10,1,12,2,10,1,9,1,11,1,12,1,17,3,12,1,11,1,12,1,17,2,11,1,17,4,12,1,17,13,11,1,17,1,11,2,12,2,11,1,17,2,9,1,17,1,11,1,12,2,11,1,12,1,17,1,12,2,17,1,12,2,17,1,11,1,10,1,9,3,10,1,8,1,10,1,9,1,10,1,9,1,10,1,11,1,17,13,11,1,16,1,17,3,12,1,11,4,10,1,17,1,11,1,17,2,16,1,17,10,11,2,17,16,12,1,17,35,12,1,17,1,11,2,12,1,17,8,12,1,17,1,9,1,17,1,12,1,17,1,12,1,24,1,17,1,24,1,12,1,8,1,24,1,6,1,8,2,6,2,30,1,7,1,6,1,8,1,13,2,8,2,24,3,8,1,10,1,24,1,12,1,24,2,8,1,12,1,24,3,10,1,24,2,9,1,13,1,7,2,13,1,7,1,30,1,7,1,13,1,7,1,29,1,30,1,6,1,29,2,7,2,30,2,6,3,7,1,29,1,7,1,29,1,28,2,33,1,5,120,9,1,6,2,30,1,28,1,29,1,6,1,28,8,13,1,12,1,17,3,12,1,17,4,11,1,9,1,11,1,9,1,12,1,9,1,12,1,11,1,8,1,24,1,10,1,8,2,13,1,10,1,17,2,12,1,17,3,12,3,17,1,12,1,11,1,12,1,24,1,9,2,24,1,8,2,13,1,8,1,13,2,6,1,13,2,33,1,5,67,30,1,28,8,29,1,8,1,17,3,12,2,9,1,13,4,8,1,13,1,7,1,13,1,8,1,6,1,12,2,17,1,9,1,28,5,8,1,14,1,8,1,28,14,}, {28,10,6,1,28,1,6,1,29,1,6,2,8,1,17,1,16,1,17,4,16,1,11,1,9,1,24,1,13,1,6,1,10,1,24,1,17,9,12,1,17,1,16,1,13,1,17,2,10,1,12,2,9,2,8,1,16,1,12,2,16,1,8,1,11,1,13,2,8,1,13,1,12,1,11,1,17,1,16,1,17,1,16,1,8,1,9,3,29,1,28,3,6,1,28,23,6,1,7,1,8,2,9,2,15,1,6,1,28,6,29,1,8,1,17,1,11,1,17,1,12,1,9,1,13,1,6,1,7,1,6,1,7,1,29,1,7,1,6,1,11,3,12,1,17,1,13,1,28,1,29,1,28,1,7,1,29,1,6,3,13,2,8,1,28,1,30,2,28,2,6,1,5,1288,33,1,28,11,30,1,28,5,6,1,29,1,13,2,6,1,8,1,28,1,6,1,7,1,13,1,7,1,13,1,7,1,8,1,9,1,7,1,13,2,8,1,13,1,8,1,13,2,30,1,13,1,7,1,13,4,9,1,8,1,13,2,30,1,7,1,30,1,28,1,6,1,28,1,30,1,28,11,29,1,28,1,30,1,13,1,8,1,30,1,6,1,7,1,13,1,6,2,8,1,13,2,8,1,13,1,11,2,12,1,9,1,12,1,9,1,12,1,17,1,12,1,17,4,12,1,17,3,12,1,17,1,12,2,17,1,12,1,17,3,11,2,17,2,11,1,17,1,16,2,17,2,16,1,17,1,16,2,17,1,16,2,17,1,16,6,17,4,16,2,17,1,16,3,8,1,13,1,6,3,28,2,29,1,28,8,30,1,26,1,30,1,28,1,7,1,6,1,13,1,7,1,13,1,8,1,13,1,24,1,9,1,7,1,6,1,13,2,8,3,25,1,7,2,6,1,8,1,6,1,13,1,8,3,12,1,9,6,8,1,24,1,8,1,9,1,11,1,9,1,8,1,24,1,9,4,24,1,8,1,9,1,8,1,9,2,8,1,12,1,9,1,11,1,10,1,12,1,11,1,8,1,11,1,9,1,11,1,10,1,12,1,9,1,12,1,9,1,12,1,9,1,8,1,24,2,8,1,13,1,8,1,9,1,24,2,12,1,9,1,16,1,11,1,9,1,11,1,17,1,16,2,11,1,17,2,11,1,17,1,11,2,17,4,16,2,17,1,16,2,11,1,17,1,16,2,11,1,16,1,17,1,16,1,17,14,12,3,17,6,12,3,11,2,12,1,9,1,12,1,10,1,12,1,11,2,17,1,12,1,17,4,12,1,17,1,11,1,17,26,12,4,17,3,12,1,17,1,10,1,9,1,10,2,9,1,10,1,24,2,10,1,24,1,10,1,24,1,10,1,24,2,12,1,10,1,12,1,10,2,12,1,10,1,12,1,24,1,12,1,24,3,12,1,24,2,8,1,24,1,10,2,12,1,10,1,12,3,11,1,12,1,17,2,11,1,12,1,17,1,10,1,12,3,11,1,9,1,10,1,11,1,12,1,11,1,10,2,12,2,10,1,17,1,12,4,17,7,12,2,17,2,11,1,17,14,12,1,11,1,12,1,11,1,17,2,12,2,17,1,11,2,17,1,12,2,17,1,12,1,17,1,11,3,10,2,9,1,11,1,9,1,8,1,10,1,24,1,10,1,8,1,17,1,12,1,11,1,17,8,16,2,17,2,16,1,17,5,12,1,11,2,10,3,11,1,17,4,12,1,17,1,12,2,9,1,11,1,17,2,16,1,17,16,12,1,17,33,12,1,17,6,10,1,12,2,10,1,17,3,12,2,17,3,10,2,12,2,10,1,12,3,10,1,24,1,8,1,7,1,8,1,6,1,8,1,24,1,13,1,8,1,7,1,13,1,7,2,24,1,13,2,8,1,24,1,10,1,12,1,17,1,12,1,10,1,12,1,24,5,8,1,13,1,24,1,8,1,24,1,13,1,7,1,13,2,24,1,30,1,6,1,7,1,8,1,7,1,6,1,13,1,28,1,6,1,29,1,7,1,6,1,29,1,6,1,30,1,6,1,7,1,13,1,28,2,30,1,6,1,5,117,13,1,6,2,7,2,29,1,30,2,28,1,6,1,29,1,28,5,24,1,9,1,12,2,17,2,12,1,17,3,12,3,10,1,17,1,11,1,17,2,12,1,11,1,10,1,13,2,9,1,8,1,13,1,24,2,11,1,17,2,12,1,17,5,12,1,17,1,11,1,17,1,9,1,10,1,12,1,24,2,9,2,11,1,10,1,17,1,9,1,10,1,9,2,5,65,28,9,7,1,9,1,17,2,11,1,12,1,9,1,10,1,13,2,6,1,13,4,7,1,9,1,24,1,9,1,11,1,17,1,9,1,28,5,13,1,15,1,11,1,28,14,}, {28,5,30,1,28,3,30,1,28,1,6,1,30,1,29,1,30,1,6,1,9,2,17,1,12,1,17,4,9,1,24,1,13,1,9,1,6,1,8,2,17,4,12,1,17,1,16,1,10,1,17,1,9,1,10,1,12,1,16,1,12,1,16,1,9,1,12,1,8,1,9,1,24,1,13,1,11,1,17,2,9,5,12,2,9,1,16,1,17,2,16,1,12,1,9,1,8,1,17,1,9,1,13,1,6,1,30,1,28,26,13,1,7,1,8,1,10,1,9,1,24,1,6,1,28,6,29,1,24,1,12,2,16,1,9,1,6,1,29,1,13,1,29,1,6,1,29,1,7,2,9,2,17,1,11,1,17,2,6,2,7,1,28,1,29,1,6,3,29,1,6,1,8,1,13,1,28,2,30,2,28,1,13,1,5,1287,28,11,30,2,28,5,29,1,7,2,13,1,7,1,9,1,7,1,28,1,30,1,8,1,13,3,7,1,9,1,7,2,8,1,7,1,13,3,8,1,28,2,6,1,7,1,9,2,13,1,10,2,8,1,9,2,8,1,13,3,30,1,6,1,28,11,30,1,28,1,30,2,8,1,9,1,13,1,28,1,6,2,13,2,6,1,24,1,8,1,10,3,17,1,12,1,10,1,17,1,11,1,17,2,10,1,17,4,12,1,17,11,16,1,17,3,11,1,17,1,11,2,17,1,16,1,17,1,11,1,16,1,11,1,16,6,17,3,16,4,17,1,16,1,17,1,16,1,17,1,16,1,17,2,9,1,7,3,30,2,29,1,28,10,27,1,29,2,13,1,6,1,13,2,6,1,13,2,24,1,13,1,24,1,8,4,7,1,8,1,6,1,25,1,6,1,7,1,8,1,6,1,7,1,6,2,24,1,9,1,8,1,9,1,17,1,11,1,12,1,9,3,17,1,9,3,10,1,9,1,8,1,9,1,11,1,12,1,11,1,9,1,12,1,17,1,9,1,11,1,17,1,10,1,9,2,11,4,10,1,17,1,12,1,17,1,11,2,17,1,9,1,10,1,17,1,11,1,9,1,10,1,9,1,24,1,12,1,11,1,9,1,12,1,9,1,12,1,11,1,9,1,12,1,16,1,11,1,12,1,9,1,16,1,9,1,11,1,17,1,11,3,16,1,17,2,11,1,17,1,16,1,17,3,16,1,11,1,16,1,17,14,12,1,17,1,12,1,17,2,9,1,12,1,17,1,12,4,17,1,12,5,11,1,12,4,10,1,17,42,12,1,11,1,17,1,12,3,17,1,12,3,10,1,9,1,24,2,12,2,8,1,10,2,12,2,10,2,12,1,17,1,12,2,10,1,12,1,24,1,12,1,24,1,10,2,12,1,24,3,9,1,12,14,17,1,11,1,12,1,9,1,12,2,11,1,10,2,11,1,12,1,10,1,11,1,17,2,11,1,17,1,12,2,17,3,12,1,17,1,12,1,17,1,11,1,12,1,17,3,12,1,17,8,12,1,17,2,12,2,17,3,12,1,17,2,12,1,17,4,12,1,11,1,17,1,12,4,9,1,10,1,11,1,10,3,12,1,9,1,11,2,9,2,12,1,17,11,11,1,17,8,16,1,11,1,10,2,11,3,17,1,11,2,12,1,10,1,11,2,10,1,9,1,11,1,12,1,11,2,9,1,17,1,11,1,17,47,12,1,17,4,11,1,17,13,12,1,17,2,12,1,17,1,12,1,10,1,24,1,12,3,24,1,12,1,8,1,7,1,13,1,24,1,8,1,7,1,13,2,6,2,13,1,24,1,10,1,8,1,10,1,8,2,10,1,24,1,12,3,24,1,17,3,8,3,13,2,24,1,13,1,8,1,6,1,8,1,29,1,13,3,30,1,24,1,13,1,29,1,28,1,7,1,6,1,7,1,29,1,13,2,29,1,6,1,29,1,30,3,33,1,5,113,13,2,30,1,6,3,28,1,30,1,28,1,30,1,6,1,29,1,28,1,30,1,28,1,30,1,28,2,10,3,17,1,12,1,17,1,12,1,17,2,12,2,17,6,11,1,12,3,10,1,8,1,10,1,13,1,24,1,8,2,10,1,24,1,17,2,12,2,17,2,12,5,17,1,9,1,12,2,10,1,12,3,11,1,17,1,11,1,12,1,9,1,10,1,11,1,5,64,28,9,29,1,12,1,16,1,17,3,9,1,24,1,13,1,8,2,13,3,8,3,10,1,12,1,17,1,12,1,10,1,28,5,9,1,14,1,24,1,28,14,}, {28,8,30,3,29,1,30,2,28,1,13,2,12,1,17,6,8,1,9,1,13,1,8,1,13,1,8,1,12,1,17,2,12,1,17,1,12,1,17,2,10,1,17,2,9,2,16,1,17,2,12,2,9,2,8,1,13,1,11,1,10,1,17,1,11,1,9,1,8,1,13,2,8,2,11,1,10,1,17,2,16,1,17,1,16,1,9,1,17,1,15,1,13,1,6,1,30,1,28,24,30,2,6,1,8,1,13,1,8,1,9,1,24,1,6,1,30,1,28,2,30,1,28,2,30,1,8,1,10,1,12,1,17,1,12,1,24,1,13,1,6,2,30,1,6,1,29,1,13,1,8,1,10,2,16,1,17,2,13,1,28,2,30,1,6,1,28,1,13,1,29,1,30,1,6,1,13,1,9,1,30,1,28,2,13,2,9,1,5,1283,33,1,13,1,30,1,28,10,29,1,28,4,30,2,28,1,13,3,6,1,7,1,6,1,13,1,6,1,28,1,7,1,13,1,29,1,13,1,24,1,8,1,13,1,9,1,6,1,13,3,7,1,13,2,6,1,7,1,13,1,8,1,13,1,9,1,13,2,7,1,13,1,8,2,13,1,8,1,13,2,28,8,6,1,28,2,30,1,6,1,30,1,6,1,30,1,13,1,9,2,6,2,7,1,8,2,24,1,10,1,12,1,17,1,12,2,17,1,12,2,17,1,12,1,17,2,12,1,17,4,10,1,11,1,17,1,12,1,10,1,17,8,11,1,12,1,17,1,11,1,16,1,17,1,16,1,11,1,16,1,17,1,11,1,16,4,17,3,16,1,10,1,11,1,17,1,16,3,17,1,16,3,17,1,16,1,11,1,16,1,17,1,8,1,9,1,7,1,13,1,7,1,28,1,30,1,28,11,29,2,25,1,6,1,7,1,13,1,6,1,7,1,13,1,24,1,10,1,24,1,9,1,8,3,7,1,6,2,8,1,30,1,8,1,6,1,30,1,25,1,8,1,6,2,8,1,24,1,8,1,9,1,10,1,11,1,10,1,11,1,12,1,11,1,9,2,24,1,10,1,11,1,9,4,11,1,9,1,24,2,9,1,13,2,8,1,11,1,10,1,11,1,9,1,10,1,16,1,10,1,16,1,11,3,10,1,11,1,16,1,12,1,16,1,9,4,8,1,10,1,9,1,24,2,9,2,8,1,9,1,8,1,10,1,9,2,8,1,9,3,11,1,12,1,11,2,12,1,16,2,11,1,16,3,17,1,11,3,16,2,17,16,12,1,17,4,11,1,17,1,12,2,17,1,12,2,17,4,11,1,12,1,11,1,17,1,12,1,17,48,12,1,17,2,12,1,11,1,12,2,10,1,12,1,10,2,12,1,9,1,12,1,10,1,9,1,10,1,12,1,10,1,12,3,10,1,12,2,10,1,12,1,10,1,24,1,10,1,24,1,10,2,9,1,10,1,12,1,11,1,12,1,17,1,12,2,10,1,12,5,17,1,12,4,11,1,12,4,11,1,10,1,12,1,10,1,17,1,12,1,10,1,12,3,17,4,12,1,17,7,12,1,11,1,17,11,11,1,17,1,12,1,17,2,12,1,17,1,11,1,17,1,12,1,17,2,12,1,11,3,17,2,11,4,12,1,11,1,10,1,12,1,17,1,10,1,9,1,10,1,11,1,17,1,11,1,17,21,11,1,10,1,9,1,10,1,17,1,10,1,17,1,11,1,10,1,16,2,9,1,11,1,9,1,10,1,11,1,9,2,12,1,17,59,11,1,12,1,11,1,12,1,17,6,12,2,10,2,17,1,24,1,12,2,24,1,10,1,12,1,24,4,8,1,6,1,13,1,7,1,8,1,24,1,13,1,7,1,8,1,10,1,13,1,17,1,13,1,10,1,24,1,12,1,10,1,12,1,10,4,9,2,11,1,8,2,10,1,24,1,13,1,7,1,13,3,8,1,13,1,7,2,8,1,7,1,8,1,30,2,7,2,13,2,6,1,29,1,30,1,13,1,6,2,28,3,5,109,13,1,28,1,30,1,28,1,13,1,30,1,6,1,29,1,30,3,28,3,30,2,28,4,13,1,10,1,24,1,11,1,12,1,17,13,12,3,17,1,12,2,17,1,11,1,12,1,10,2,24,1,9,1,17,1,12,4,17,1,12,2,17,6,12,1,17,2,12,1,17,2,12,3,9,1,12,1,9,1,17,1,16,1,5,62,28,10,14,1,17,1,16,1,11,1,9,3,6,2,13,1,7,1,29,1,7,1,13,1,8,1,9,2,16,2,17,1,9,1,28,5,24,1,14,1,13,1,28,14,}, {28,11,30,1,28,1,6,4,17,1,10,2,9,1,17,3,9,1,8,2,24,1,8,1,13,1,8,1,9,1,17,1,16,1,17,1,9,1,17,2,16,1,17,2,12,1,9,1,16,1,17,2,9,1,24,1,8,1,9,1,13,2,10,1,17,2,16,1,11,1,24,1,8,1,13,1,8,1,9,1,8,1,9,1,17,4,9,1,11,1,16,1,14,1,13,1,6,2,30,1,28,1,30,1,28,22,29,1,7,1,13,1,7,1,8,1,9,1,24,1,13,1,28,2,30,1,28,4,8,1,9,1,11,1,17,2,8,2,13,3,8,3,9,2,10,1,12,1,11,1,17,1,13,1,6,2,29,1,6,1,29,2,6,1,7,1,13,1,6,1,9,1,28,4,8,1,5,1283,13,1,28,8,29,1,28,4,30,1,28,1,29,1,28,2,6,2,13,1,30,2,13,2,7,1,13,1,6,2,28,1,13,3,8,1,13,1,6,1,13,1,7,1,13,2,8,1,7,3,13,1,6,1,13,2,8,1,13,1,7,1,13,1,8,2,13,2,8,1,9,1,10,1,8,1,28,8,30,3,6,1,28,1,30,3,7,1,13,1,9,1,11,1,7,1,13,1,8,3,10,1,12,1,11,1,9,1,17,1,12,1,17,4,12,1,17,7,10,1,11,2,17,11,16,2,17,1,11,1,9,2,17,1,16,1,10,1,16,5,11,2,17,1,16,2,17,1,16,1,17,2,16,1,17,2,16,1,17,1,16,2,11,1,16,2,11,1,9,1,7,2,30,1,28,1,30,1,28,1,30,1,28,8,30,2,6,1,25,1,29,1,6,1,7,1,13,1,6,1,7,1,13,1,24,1,8,1,24,2,7,1,6,1,8,1,6,2,29,1,27,1,6,1,26,1,6,3,7,2,6,1,24,3,10,1,12,1,10,1,12,1,9,1,10,1,11,1,9,1,11,1,9,4,11,1,24,1,8,1,9,1,8,1,13,1,10,1,8,1,9,1,11,2,9,1,17,1,9,2,11,1,9,1,17,1,11,4,17,1,16,2,11,1,16,1,8,1,9,1,24,1,8,1,13,1,6,1,8,1,29,1,6,1,8,1,13,1,9,1,24,1,8,5,13,1,9,3,16,2,11,1,17,1,16,1,11,1,16,3,11,1,16,1,17,1,11,1,17,2,16,1,17,9,12,2,17,5,10,1,12,2,17,1,12,1,17,1,12,1,17,2,12,5,17,1,10,1,12,1,17,55,12,1,11,1,17,1,12,2,17,1,11,1,12,2,10,2,12,1,10,2,9,1,24,1,12,1,10,1,12,1,10,1,12,2,10,1,9,1,12,1,9,1,10,2,24,1,12,1,10,1,12,5,17,1,12,3,17,1,12,3,17,1,12,3,10,3,12,1,11,1,10,1,9,1,10,1,9,1,12,2,17,3,10,1,17,1,12,1,17,1,12,1,17,5,11,1,17,12,11,3,17,3,11,1,17,11,12,1,17,2,11,1,12,1,17,1,10,1,12,1,11,3,12,1,10,1,12,2,9,1,11,1,12,2,17,10,11,1,17,1,16,1,17,6,16,1,17,1,10,2,11,2,17,1,12,1,9,2,11,1,9,2,11,1,10,1,11,1,9,2,13,1,9,1,17,11,16,1,17,9,11,1,17,32,12,1,17,3,12,6,17,7,12,1,10,1,12,1,9,1,12,4,17,1,10,1,8,1,24,1,10,1,24,1,10,1,12,1,24,1,8,2,7,1,13,2,6,1,8,1,10,2,24,1,10,1,12,3,17,1,24,1,8,1,12,1,24,2,10,1,24,1,12,1,13,1,8,2,10,1,13,1,7,1,8,1,6,1,8,1,13,1,6,1,13,1,6,2,13,3,30,1,28,1,30,1,8,1,30,1,7,1,13,1,6,1,13,1,30,3,28,1,6,1,33,1,5,103,33,1,5,1,6,1,28,1,7,1,6,2,13,1,7,1,6,1,30,1,29,1,28,1,30,1,28,8,6,1,29,1,8,1,11,1,12,1,17,1,12,1,17,3,12,1,11,1,17,10,12,1,17,1,12,1,17,1,12,2,17,1,11,3,24,1,8,1,17,1,12,2,9,1,17,1,12,1,17,18,12,1,11,3,5,60,28,9,30,1,16,1,17,1,11,1,16,1,11,1,9,1,8,1,24,1,13,1,24,1,29,1,6,1,7,1,6,1,8,1,9,2,12,1,17,1,12,1,9,1,28,5,8,1,14,1,10,1,28,14,}, {28,13,7,1,30,1,13,1,12,1,9,1,17,1,12,1,17,4,8,1,9,1,8,1,24,1,6,1,9,1,13,1,17,4,9,1,12,1,17,3,16,1,17,1,13,1,11,1,16,1,11,1,10,1,9,1,8,4,9,1,17,2,10,1,12,1,9,1,13,1,24,1,6,1,7,1,8,1,12,1,17,4,10,1,9,1,10,1,11,1,8,1,6,1,28,26,30,1,13,2,6,1,8,1,24,1,10,1,24,1,28,4,30,1,28,2,8,1,9,1,10,1,17,1,12,1,8,1,7,1,30,1,28,1,7,1,30,1,29,1,7,1,8,1,9,2,12,1,17,1,11,1,8,1,28,4,13,1,6,3,13,3,6,1,28,2,6,1,28,1,13,1,5,1280,13,1,30,1,28,8,30,1,28,1,30,1,28,4,29,1,30,1,28,2,30,2,28,1,29,1,6,1,13,1,8,1,13,1,6,1,13,1,30,1,6,1,30,1,7,1,6,1,8,1,6,1,29,1,13,2,7,3,6,2,28,1,30,1,7,1,13,1,6,1,13,1,7,1,13,3,29,1,7,1,6,1,13,1,7,1,13,1,6,1,30,1,6,1,30,1,6,1,28,3,6,1,30,1,6,1,13,1,6,1,30,1,29,1,6,2,8,1,9,1,11,1,13,1,9,2,13,1,9,1,8,1,12,1,10,1,17,2,11,1,17,8,12,1,17,4,12,2,17,1,10,1,17,2,12,1,17,7,11,1,16,1,9,2,11,2,9,1,10,1,11,1,16,2,17,1,11,1,16,1,11,1,16,2,17,1,16,1,17,1,16,3,17,1,16,4,17,2,16,3,10,1,8,1,7,1,29,1,30,1,29,1,30,1,29,1,28,10,6,3,7,1,6,1,13,2,7,1,6,1,8,1,10,1,8,1,13,1,24,1,7,1,6,1,29,1,30,1,27,3,29,1,25,1,27,1,26,1,6,2,7,1,13,1,7,1,24,2,10,1,11,1,9,1,11,1,17,2,8,1,12,1,16,1,9,1,17,1,9,3,8,1,13,1,9,1,8,1,13,1,11,1,13,1,8,1,12,2,11,1,12,1,17,1,12,1,16,1,11,1,9,1,10,1,11,1,16,3,17,1,16,1,17,1,9,3,24,1,9,1,8,3,10,1,11,1,8,1,24,1,10,1,8,2,24,2,9,2,8,1,11,4,17,1,11,2,16,2,11,1,17,3,16,1,11,1,17,22,12,1,17,6,12,1,17,1,12,9,17,1,11,1,17,1,11,1,17,1,11,2,16,2,17,6,16,1,17,36,12,2,17,1,12,1,17,1,12,2,11,2,17,1,11,1,10,1,12,1,17,2,12,2,10,1,17,1,12,3,17,2,12,3,10,1,17,1,9,1,10,2,12,4,17,2,12,1,17,1,12,3,17,1,12,1,17,3,12,2,11,2,12,2,10,1,11,1,12,3,11,1,17,3,12,1,17,3,12,1,11,1,17,10,12,1,17,13,12,1,17,5,12,1,11,1,17,6,9,1,11,1,12,1,10,1,12,3,11,1,10,1,9,1,11,1,17,2,11,1,17,20,11,1,16,1,17,1,11,1,9,1,17,1,10,1,11,1,9,1,10,1,11,1,10,1,12,1,10,1,8,1,9,2,11,1,9,1,11,1,17,7,16,1,17,1,16,1,17,2,12,1,17,3,11,1,17,2,11,3,12,1,11,1,17,3,12,1,17,8,11,1,17,9,12,1,11,1,17,8,11,3,17,5,12,1,17,5,12,3,10,1,12,2,24,2,10,1,12,1,17,1,10,1,12,1,10,1,13,1,24,1,10,1,8,1,24,1,8,1,24,1,7,1,24,1,13,1,8,1,24,2,10,1,24,1,12,5,8,1,24,1,12,1,24,2,12,1,8,1,24,1,10,1,9,1,8,2,24,1,9,1,8,2,6,1,9,1,7,1,6,1,8,1,6,1,13,2,6,1,8,1,7,1,8,1,30,1,7,1,13,1,6,1,7,1,6,1,13,1,29,1,28,4,33,1,5,99,33,1,13,1,28,1,13,3,29,1,13,1,30,1,6,1,13,1,28,3,30,1,28,2,30,1,28,6,7,1,8,1,17,1,12,2,17,2,11,1,17,21,11,1,17,1,12,2,10,2,11,1,10,2,12,1,17,1,11,1,17,2,12,1,17,3,12,1,17,1,12,1,17,12,9,2,5,58,28,9,13,1,9,1,17,2,9,2,11,1,10,1,8,1,24,1,8,1,13,2,8,1,6,1,13,1,10,1,9,1,11,1,17,2,7,1,28,5,24,1,11,2,29,1,28,13,}, {28,12,30,1,28,1,29,2,24,1,12,1,10,1,17,5,9,1,13,2,8,1,13,1,24,1,13,1,16,1,17,2,11,1,16,1,11,1,16,1,17,2,16,2,12,2,17,2,9,1,10,1,13,1,24,1,7,1,9,2,17,1,11,1,17,1,16,1,12,1,9,1,8,1,13,1,24,1,8,1,13,1,17,5,9,1,10,1,9,1,24,1,6,1,28,27,6,1,13,2,7,1,8,1,24,1,8,1,28,7,24,1,10,1,9,1,12,1,24,1,13,1,7,1,6,1,13,1,29,1,13,1,8,1,29,1,13,1,9,1,12,1,9,1,17,2,10,1,29,1,6,2,29,1,6,1,30,1,6,4,13,1,6,1,28,4,13,1,5,1278,13,1,28,14,30,1,28,1,30,1,28,3,30,1,29,1,6,1,28,1,30,2,7,1,6,1,13,2,7,1,30,1,6,1,30,1,6,1,7,1,6,2,13,1,29,1,13,3,6,1,13,2,29,1,13,1,7,1,6,2,29,1,13,1,30,1,6,3,13,1,6,1,13,2,30,1,9,1,6,1,13,1,29,1,30,2,28,1,6,1,7,4,13,1,6,1,13,2,6,1,8,1,7,1,13,1,10,1,8,1,10,1,11,1,10,2,9,1,12,1,17,2,12,1,17,1,12,1,17,3,11,1,17,3,12,1,17,4,11,1,17,1,12,1,17,1,12,1,17,1,11,1,17,5,11,3,16,2,10,1,9,1,11,3,9,1,11,1,16,2,17,2,16,5,11,1,16,1,17,2,16,1,11,1,16,2,17,3,11,1,16,2,9,1,8,1,24,1,13,1,7,1,30,1,28,11,30,1,28,1,6,4,7,1,6,1,8,1,7,1,8,2,7,1,6,1,29,1,30,1,6,1,28,1,27,1,29,2,27,1,25,1,29,1,8,1,29,1,25,1,6,1,29,1,6,2,13,1,9,1,12,1,9,1,11,2,9,1,10,1,12,1,9,1,12,1,10,1,12,1,9,2,8,1,13,2,24,1,13,2,24,1,10,1,8,1,11,2,16,1,17,1,16,1,12,1,17,1,11,1,17,1,9,3,11,2,17,1,12,1,11,1,17,1,16,1,17,1,11,3,10,1,8,1,13,1,8,1,24,1,8,1,24,2,9,1,8,3,11,1,10,1,11,1,9,2,16,1,11,1,16,1,17,1,16,1,17,1,16,5,17,2,16,1,17,23,12,1,17,3,12,1,17,1,12,2,11,1,9,1,10,2,9,2,11,1,9,2,11,1,9,4,10,2,16,1,17,1,11,2,17,1,11,1,16,1,17,2,16,1,17,38,12,1,17,1,12,2,17,4,12,5,17,2,12,1,17,1,12,3,17,1,12,2,11,2,12,4,17,1,12,1,10,1,17,1,12,1,17,1,12,1,17,7,12,4,17,2,11,1,12,2,17,2,12,1,17,2,11,1,17,7,12,1,17,1,12,1,17,8,12,1,17,1,12,1,17,7,11,1,17,1,12,1,17,2,11,2,17,4,12,2,17,1,12,1,10,1,17,1,12,1,17,1,12,1,17,1,11,1,17,3,12,3,11,3,12,1,17,10,16,1,17,9,11,1,17,1,11,2,17,1,9,1,10,1,11,1,16,2,11,2,9,2,10,1,9,1,8,1,16,1,17,6,16,1,17,1,16,1,11,1,17,1,11,1,12,2,11,1,17,2,11,2,17,1,10,1,11,2,12,1,11,1,17,1,12,1,17,20,11,1,17,1,11,2,17,13,12,1,17,6,11,1,12,3,10,1,9,1,12,1,10,1,13,1,24,1,12,1,24,1,10,2,24,1,10,1,17,1,24,1,8,1,24,4,8,1,13,1,24,2,10,3,12,1,10,1,12,1,24,3,10,1,8,2,10,1,12,1,11,1,13,2,24,1,8,2,7,1,10,1,8,1,24,1,6,1,8,1,13,1,6,2,7,3,13,1,7,2,6,2,29,1,6,1,8,1,6,1,7,2,28,3,30,1,9,1,5,96,13,2,30,1,8,1,13,3,7,1,30,1,7,1,6,1,30,4,28,11,7,1,8,1,9,1,17,1,12,1,17,2,12,1,10,1,12,2,17,22,10,1,11,1,12,1,10,1,12,1,10,1,11,1,12,3,17,1,10,1,12,2,17,13,12,1,17,1,10,1,9,1,8,1,9,1,5,56,28,9,30,1,9,1,14,1,17,1,11,1,16,1,12,1,9,1,17,1,24,1,13,2,30,1,7,1,13,1,8,1,9,1,11,1,17,3,8,1,28,5,8,1,17,1,8,1,28,14,}, {28,11,30,1,28,1,29,1,6,2,13,1,9,1,17,2,12,1,17,3,15,1,13,1,8,1,13,1,8,2,24,1,16,1,17,2,10,1,17,1,16,3,17,3,9,1,17,2,10,1,9,2,13,1,9,1,24,1,8,1,9,1,12,1,17,1,12,1,10,1,9,1,11,1,13,1,7,1,13,2,24,1,12,1,17,3,12,1,8,1,9,2,8,1,6,1,28,27,6,2,7,2,8,1,24,1,8,1,7,1,28,6,13,1,9,3,11,1,8,2,29,1,7,1,13,1,6,1,13,3,8,1,9,1,12,1,17,2,24,1,28,4,6,1,29,1,30,1,6,3,13,1,30,1,28,4,13,1,5,1276,33,1,30,1,28,7,6,1,29,1,28,1,30,1,28,2,6,1,28,1,6,1,28,4,13,1,6,2,7,1,13,1,6,1,28,1,29,1,28,1,6,1,13,1,7,1,13,1,7,1,30,1,13,1,6,1,13,5,28,5,30,1,13,1,29,1,13,1,6,1,29,1,7,1,13,1,6,1,13,1,6,1,29,1,13,2,7,1,13,1,30,2,6,2,13,1,28,1,13,1,17,1,9,2,8,1,13,3,8,1,9,1,13,1,11,1,13,1,9,1,10,1,17,1,11,1,9,1,11,1,12,1,17,1,12,2,17,1,10,1,17,14,10,1,12,2,10,1,12,1,17,7,11,1,10,2,9,2,8,1,9,1,11,1,8,1,10,1,17,1,11,1,16,1,17,1,16,2,11,1,16,1,11,4,17,1,16,3,17,1,11,1,17,1,16,1,17,1,16,2,12,1,16,1,9,1,8,1,13,1,29,1,30,2,28,1,30,2,28,4,30,1,28,2,29,1,28,1,27,1,6,1,29,1,6,1,7,2,13,1,7,1,6,1,24,1,13,1,6,1,30,1,29,2,26,1,30,1,27,1,30,1,27,1,30,1,26,1,27,1,26,1,30,1,6,2,7,1,6,2,8,1,24,1,11,1,8,1,10,1,17,1,9,1,11,1,10,1,12,1,10,1,9,1,24,1,8,2,13,1,8,2,13,1,8,2,10,1,9,2,13,1,9,1,12,1,8,1,11,1,10,1,9,1,13,2,7,1,10,1,11,1,17,1,11,1,17,1,16,1,17,1,16,1,11,2,9,1,12,2,9,1,24,1,9,1,24,3,8,1,24,1,8,1,9,2,8,1,9,2,10,1,9,2,11,2,16,1,17,1,16,1,17,1,16,1,17,1,11,1,17,2,16,1,17,11,12,1,17,16,9,1,12,1,10,1,24,1,8,2,13,1,8,2,13,2,7,1,8,3,13,2,9,1,10,1,9,1,10,1,9,1,11,2,9,2,11,1,9,1,10,1,11,2,17,1,11,3,17,1,11,1,17,31,12,1,17,1,12,1,17,11,12,1,17,1,12,1,17,2,12,1,17,2,10,2,17,2,10,1,12,2,11,1,12,1,17,1,12,1,17,4,12,1,10,1,17,2,12,2,17,2,12,3,17,1,12,1,17,1,12,1,17,3,12,1,10,1,12,1,11,1,17,1,12,1,17,13,12,1,17,6,12,1,11,1,17,11,11,1,17,7,12,1,17,1,11,2,12,1,9,1,17,1,11,1,12,1,17,1,12,1,9,1,12,1,11,3,17,1,11,1,17,4,16,1,17,1,11,1,17,7,16,1,17,5,16,1,17,2,11,1,17,1,11,1,12,1,11,2,9,1,10,1,11,2,16,1,10,1,9,1,16,1,10,1,17,5,11,1,16,2,12,1,11,1,12,1,17,1,12,1,11,1,17,1,9,1,11,1,12,1,9,2,11,1,10,1,11,2,12,1,11,1,17,5,12,1,17,10,12,1,17,3,11,1,17,4,11,1,17,3,11,1,17,3,12,1,17,14,12,2,24,1,10,2,24,1,13,1,24,1,9,1,12,1,24,1,10,1,12,1,9,1,24,1,12,1,10,1,9,1,8,2,24,1,8,2,13,1,24,1,13,1,10,1,24,1,12,1,24,1,12,1,24,1,10,1,24,1,12,2,9,1,10,2,12,1,9,3,13,1,7,1,6,1,13,1,8,1,24,1,8,1,6,1,8,3,13,1,24,1,13,2,7,3,13,2,29,3,13,1,6,1,28,2,30,1,13,2,33,1,5,91,30,1,28,2,9,1,6,1,9,1,13,1,6,1,13,1,30,1,6,1,29,1,30,1,28,1,30,2,28,11,6,1,13,1,10,1,12,2,11,1,17,1,10,1,17,1,12,1,17,13,12,3,17,9,10,1,12,2,10,1,12,1,10,2,9,1,10,2,9,1,10,2,12,2,17,10,12,1,17,2,10,1,12,1,9,1,10,1,11,1,9,2,11,1,16,1,9,3,13,2,33,1,5,45,28,9,13,1,16,1,14,1,16,2,11,1,9,3,13,1,8,2,13,1,6,1,13,1,9,1,12,1,17,1,9,1,11,1,17,1,8,1,28,5,13,1,17,1,13,1,30,1,28,13,}, {28,9,30,1,28,1,30,1,29,2,6,1,7,1,13,1,8,1,17,2,12,1,17,1,12,1,17,1,12,1,13,3,8,2,13,1,12,1,17,2,12,1,17,1,16,2,12,1,17,1,16,1,9,2,16,1,17,1,11,1,12,1,9,1,13,1,8,1,13,1,8,1,10,1,9,1,17,1,12,1,24,1,9,1,8,1,9,1,13,2,8,2,12,2,17,3,9,1,10,1,9,1,6,1,28,29,6,1,7,1,6,1,24,1,12,1,24,1,30,1,6,1,28,5,13,1,10,1,12,1,9,3,13,1,6,1,29,1,6,2,29,1,13,2,12,1,11,1,9,1,12,1,17,1,24,1,6,1,28,3,7,1,6,2,30,1,28,1,29,1,6,1,30,1,28,1,30,2,28,1,13,1,5,1275,13,1,28,7,6,2,28,4,30,1,28,1,30,2,6,1,28,1,30,1,6,1,30,1,7,1,30,1,29,1,28,4,30,1,28,2,30,1,7,1,30,3,13,1,6,1,7,1,13,1,28,10,6,3,8,1,6,2,13,1,6,1,7,1,6,1,7,1,6,1,7,1,13,2,7,1,6,1,13,3,9,1,17,1,10,1,9,1,13,2,8,1,12,1,8,1,10,1,9,1,12,1,11,2,17,3,12,1,11,1,17,4,11,1,17,15,11,1,12,1,17,1,11,1,17,1,12,1,17,6,9,1,16,1,9,1,11,1,10,1,9,2,10,1,9,1,11,4,12,1,17,1,11,1,9,1,11,1,10,1,11,3,16,1,10,1,9,1,11,1,17,1,11,1,17,1,16,2,17,1,11,2,17,1,10,2,13,1,29,1,13,1,30,1,6,1,29,1,28,1,29,1,30,1,28,1,30,1,28,1,29,1,30,1,28,2,6,1,29,1,8,1,29,1,6,1,7,1,8,1,13,1,6,1,25,1,29,1,30,1,28,1,30,2,28,2,27,1,30,2,27,1,29,1,27,1,29,1,27,1,8,1,6,1,28,1,6,1,8,2,24,1,10,1,9,2,24,1,9,1,10,1,9,4,13,1,9,1,8,1,13,4,8,1,10,1,8,2,13,1,10,1,9,1,8,3,9,1,10,1,9,1,10,2,16,2,17,1,11,1,16,1,11,1,16,1,11,2,16,2,9,2,10,1,9,2,13,1,8,1,9,1,10,1,8,2,9,3,10,1,9,2,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,2,11,1,16,1,17,2,16,1,17,24,12,1,11,2,9,1,24,1,13,3,8,1,13,1,8,1,6,1,13,1,8,1,6,1,8,1,13,1,6,1,13,2,8,1,13,1,8,1,13,1,8,2,9,1,11,1,9,3,10,1,9,4,12,1,11,1,16,1,11,1,16,3,17,1,16,1,17,1,16,1,17,35,12,1,17,4,12,1,17,2,12,1,11,2,17,1,12,3,17,1,12,5,17,4,12,2,17,1,12,1,17,2,10,1,17,1,9,1,17,1,11,2,17,1,9,1,12,1,11,1,12,2,17,1,11,1,17,1,12,1,17,2,12,1,17,15,12,1,17,4,12,1,17,12,12,1,17,4,11,1,17,2,11,1,17,2,12,1,11,1,10,3,11,2,17,1,11,2,17,1,11,2,17,1,10,1,11,1,17,5,16,1,17,3,11,1,17,1,11,1,17,8,10,1,17,2,12,1,17,1,11,3,10,1,9,2,11,1,9,2,10,1,11,1,17,1,16,1,17,2,16,1,17,2,12,1,17,1,11,2,17,1,11,1,17,1,10,1,11,1,10,1,17,1,11,1,9,3,8,1,9,1,10,1,12,1,17,1,11,1,17,3,11,1,17,10,12,1,17,1,11,1,17,4,11,1,17,1,12,1,17,5,11,1,12,1,17,1,11,1,17,8,12,1,17,4,12,2,17,1,10,1,24,1,12,2,24,1,17,1,24,1,10,1,17,1,24,1,10,2,24,1,10,1,24,3,8,1,7,1,8,1,7,1,8,3,12,1,24,2,12,1,24,2,10,1,8,1,17,1,9,1,10,1,24,1,10,1,9,1,10,1,11,1,8,1,9,4,24,1,8,2,13,1,6,1,24,1,6,1,13,1,8,1,13,1,7,1,6,2,8,1,30,1,7,1,13,1,6,1,13,1,6,2,30,1,7,1,28,4,6,1,5,88,33,1,13,1,28,1,13,4,8,1,13,1,7,2,28,1,7,1,6,3,28,1,7,1,28,2,30,1,28,8,30,1,8,1,12,1,11,1,12,7,17,6,12,1,17,6,12,1,17,8,12,1,17,1,11,1,12,3,11,1,17,1,10,1,12,1,8,1,11,1,12,1,10,1,9,1,11,1,9,1,10,1,17,1,12,2,17,8,12,1,17,2,9,1,17,1,12,2,11,1,8,1,9,3,13,1,30,1,28,5,5,41,33,1,28,8,30,1,28,1,14,2,17,1,9,2,8,1,9,2,8,2,13,1,6,1,7,1,13,1,11,1,12,1,8,1,17,3,6,1,28,5,8,1,17,1,13,1,28,3,30,1,28,10,}, {28,2,29,1,30,2,28,3,30,1,28,3,30,1,7,1,28,1,6,1,8,1,9,1,12,1,17,3,12,1,17,1,24,1,6,2,13,1,8,1,13,2,10,1,17,2,16,1,9,1,16,2,17,3,16,2,9,1,11,1,17,1,9,1,8,1,9,2,13,2,8,1,16,1,12,1,9,3,8,1,13,1,8,1,13,1,8,1,24,1,12,1,17,1,12,1,16,1,10,1,13,1,10,2,8,1,29,1,28,26,30,1,6,4,9,2,8,1,29,1,28,4,30,1,28,1,7,1,24,1,13,1,12,1,9,1,13,1,8,1,28,1,7,1,6,2,13,1,9,1,13,1,12,1,17,1,10,1,17,2,9,1,7,1,28,3,30,1,29,1,28,1,30,1,6,1,28,1,13,1,6,1,28,2,30,1,6,2,5,1273,13,1,28,7,30,1,13,1,30,1,28,7,30,1,6,2,28,1,13,1,7,1,13,1,28,11,30,1,28,3,9,1,13,1,29,1,28,6,6,1,29,1,28,6,7,1,13,1,6,2,13,1,6,1,13,1,30,1,13,1,9,1,6,1,30,1,6,3,13,1,8,1,9,1,11,1,10,1,12,4,11,1,17,3,12,1,17,1,12,1,17,2,12,1,10,1,17,1,12,1,17,22,11,1,17,6,12,1,11,1,10,1,11,2,9,2,10,1,16,1,11,1,9,1,11,1,10,1,17,1,11,2,17,1,11,1,17,1,11,1,17,1,16,2,11,1,16,1,17,2,11,1,12,3,11,2,9,1,16,1,11,1,17,1,9,1,13,1,8,1,7,1,13,1,6,1,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,30,3,29,1,26,1,29,1,13,1,6,1,13,4,8,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,2,28,1,27,1,25,1,29,1,28,1,6,1,29,1,13,1,6,1,29,1,8,2,9,1,8,1,12,1,24,1,10,1,11,1,9,1,11,1,9,1,13,1,9,1,13,1,8,1,6,1,13,1,24,1,13,1,8,2,7,1,8,1,24,1,10,1,8,1,9,2,8,2,9,3,10,1,11,2,10,2,11,1,17,2,16,1,11,1,12,1,11,2,9,1,10,1,9,1,10,1,8,1,9,2,24,1,12,1,9,1,10,2,9,1,12,1,11,3,16,6,17,1,16,1,17,4,11,1,17,18,12,1,17,4,11,2,8,1,13,1,8,1,13,2,8,2,7,2,6,1,13,2,29,1,8,1,13,2,7,1,8,1,7,1,6,1,7,1,13,2,8,2,13,3,9,1,7,1,13,3,8,1,9,4,10,2,11,2,16,3,17,1,16,5,17,43,12,2,17,3,12,1,17,2,12,1,17,13,12,1,17,1,12,2,17,2,11,2,12,2,17,15,12,1,17,3,12,1,17,18,11,1,17,9,12,1,10,1,9,2,17,1,11,1,17,1,12,1,11,1,12,1,17,1,11,2,9,2,11,5,17,2,12,1,10,1,12,1,17,3,11,1,9,1,12,1,17,8,11,2,9,1,17,1,11,2,12,1,9,1,8,1,10,1,8,1,11,1,9,3,11,1,17,1,16,1,17,2,16,1,17,1,12,1,17,3,16,1,9,1,10,1,12,2,9,1,11,1,10,1,9,2,10,1,8,1,11,1,8,1,9,1,11,1,17,1,11,1,17,15,12,1,17,3,11,1,17,3,11,1,17,2,12,2,17,4,12,1,17,7,12,1,17,1,11,1,17,8,24,1,12,4,10,2,24,1,10,1,17,1,12,2,10,1,9,2,13,1,8,1,7,1,13,2,8,1,24,1,10,1,13,1,12,1,10,1,24,2,10,1,8,1,10,1,24,1,12,1,11,1,24,1,12,1,8,1,24,2,12,1,24,2,12,1,8,1,13,1,8,1,13,1,24,1,10,1,8,1,13,1,10,1,6,1,8,1,7,1,24,1,7,1,13,1,6,1,10,1,8,1,6,1,30,4,29,2,28,4,5,1,33,1,5,83,13,1,28,1,13,4,7,1,24,1,13,1,30,2,6,2,28,2,29,1,28,3,30,1,28,10,29,1,9,1,17,1,12,2,17,1,12,1,17,2,12,2,17,8,11,1,17,4,12,1,17,12,12,1,17,1,12,1,17,1,11,1,17,1,12,1,10,1,12,4,9,1,12,1,9,1,11,1,10,2,17,7,12,1,17,4,10,1,17,1,10,1,12,1,11,1,10,1,24,1,8,1,13,1,30,1,28,3,30,1,28,2,30,1,28,2,9,1,33,5,5,30,6,1,28,9,13,1,16,1,14,1,17,2,13,1,11,1,9,1,11,1,17,1,8,3,7,1,8,1,13,1,9,1,12,1,17,1,11,1,17,1,7,1,28,5,8,1,17,1,13,1,28,1,30,1,28,12,}, {28,2,30,1,28,3,30,1,29,1,28,1,30,1,28,2,29,1,30,1,29,2,7,1,8,1,10,1,24,1,12,1,17,3,9,1,13,5,8,1,13,1,17,4,9,1,17,3,16,1,17,2,13,1,17,1,9,2,8,2,13,1,8,1,9,2,16,1,9,1,11,1,10,2,24,1,13,1,8,2,13,1,9,2,12,1,9,1,11,1,24,1,9,2,11,1,8,1,30,1,29,1,28,25,30,1,6,1,7,1,13,1,9,1,12,1,10,1,9,1,29,1,6,1,28,2,30,1,28,2,6,1,8,1,12,1,9,1,8,1,10,1,8,1,29,3,7,1,6,1,13,1,6,1,13,1,10,2,17,2,10,1,6,1,28,3,6,1,28,2,29,1,28,1,30,1,7,2,28,3,30,1,13,1,5,1272,13,1,28,8,30,1,28,3,30,1,28,3,30,1,28,1,6,2,28,1,6,1,7,1,28,15,7,1,13,1,29,1,28,7,29,1,28,3,30,1,28,4,30,1,6,1,13,2,29,1,28,1,6,1,30,1,13,2,30,1,28,2,29,2,7,1,29,1,13,1,8,1,10,1,12,1,9,1,12,2,11,1,10,2,17,8,10,1,17,23,11,1,12,1,17,6,11,1,12,1,9,3,8,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,17,1,11,1,17,2,16,1,11,1,17,1,16,1,11,1,17,1,12,1,11,1,10,1,9,1,16,1,9,1,8,1,11,1,9,1,11,1,10,2,12,1,13,2,6,1,7,1,29,1,30,1,6,1,30,1,28,1,29,1,30,5,28,1,30,1,29,1,6,3,7,3,6,1,8,1,30,1,28,5,30,1,28,1,30,2,27,2,29,1,28,1,29,1,25,1,6,2,7,1,29,1,7,1,8,2,24,2,9,1,10,1,8,1,9,3,10,1,24,2,8,1,13,2,8,2,13,6,8,1,7,1,24,1,8,1,13,1,24,1,8,1,9,1,24,1,9,2,11,1,12,1,11,1,9,3,11,1,12,1,11,1,17,1,11,1,9,2,10,1,11,1,10,1,9,1,10,2,9,2,11,1,16,2,9,1,11,1,16,3,11,1,16,1,11,1,17,25,11,1,17,3,12,1,11,1,9,1,10,1,13,3,8,1,6,1,7,3,13,1,8,1,6,2,7,2,6,1,7,1,6,1,29,1,7,1,6,1,13,3,7,1,6,1,7,1,13,2,24,1,6,1,13,4,8,1,9,2,13,1,8,1,9,1,8,1,9,2,11,3,16,3,17,1,16,2,17,35,12,1,17,1,12,1,17,1,12,2,17,3,12,1,17,1,12,1,17,4,12,1,17,9,12,1,17,1,12,1,17,3,12,1,17,2,11,2,17,1,12,1,17,5,12,2,17,32,12,1,17,3,11,1,17,1,12,1,11,1,17,1,12,2,17,1,11,1,17,1,11,4,10,1,12,1,9,1,11,2,17,1,10,1,9,1,10,1,9,1,11,2,17,2,12,2,11,1,9,2,10,1,9,2,10,1,12,1,17,1,12,1,17,3,11,1,9,3,10,1,8,1,10,1,9,1,17,1,12,1,9,2,8,1,9,1,8,1,9,1,11,2,12,1,17,1,16,2,17,1,9,1,12,1,9,2,10,1,9,2,10,1,11,1,17,1,11,1,9,1,10,1,9,5,11,1,8,1,9,3,11,1,12,1,17,7,11,1,17,9,12,1,17,3,12,1,17,1,12,1,17,2,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,5,12,1,17,1,11,1,17,3,12,1,17,2,8,1,17,1,10,1,17,2,12,1,17,1,12,1,17,1,12,4,10,1,8,1,10,1,8,1,24,1,9,1,13,1,8,1,24,2,7,2,24,1,8,1,24,1,8,1,13,1,12,1,13,1,24,1,9,1,12,1,24,1,12,1,8,1,24,1,10,1,24,1,8,1,12,1,10,2,12,1,8,1,12,1,8,1,13,1,24,1,8,1,24,2,8,2,13,1,8,1,7,1,13,1,30,1,13,1,6,1,13,1,7,1,6,1,28,1,6,1,28,2,30,1,28,5,30,1,5,81,13,1,30,1,7,2,13,1,8,1,13,1,8,1,7,1,30,1,6,2,7,1,29,1,7,1,28,6,30,1,28,6,30,1,28,2,29,1,24,1,17,4,12,2,17,1,11,1,17,1,12,1,17,3,12,1,17,29,12,1,17,2,12,1,17,1,12,2,8,1,11,1,9,1,24,1,9,1,17,14,10,1,24,1,10,1,13,1,9,1,6,1,13,2,8,1,6,1,13,3,6,1,13,3,30,1,28,1,6,1,28,1,6,1,33,1,5,28,6,1,28,9,6,1,14,1,17,2,16,1,9,2,8,1,13,1,7,1,8,4,13,2,10,1,9,1,17,3,7,1,28,5,13,1,11,1,13,1,28,14,}, {28,1,30,1,28,9,29,1,28,2,30,1,6,1,28,1,13,2,9,2,12,2,17,1,9,1,8,1,6,1,13,1,8,2,13,1,24,1,16,1,17,2,12,1,17,2,16,2,17,1,16,1,9,1,8,1,12,1,11,1,9,1,24,1,8,4,6,1,16,1,17,2,9,2,13,1,24,1,13,1,6,1,8,1,9,1,10,1,17,2,12,1,24,1,9,3,8,1,6,1,28,27,13,1,9,1,13,1,12,1,17,1,12,1,9,1,29,1,30,1,28,3,30,1,28,1,6,1,24,1,12,1,15,1,10,1,8,1,13,2,7,1,6,1,13,3,6,1,7,1,8,1,17,1,12,1,17,1,12,1,29,1,28,3,30,1,28,2,6,1,30,1,28,1,6,1,29,1,28,4,13,1,5,1269,33,1,13,1,28,9,30,1,28,1,30,1,28,4,30,2,29,1,30,2,28,1,6,1,13,1,28,12,30,3,6,1,7,1,13,3,28,1,30,1,28,1,6,1,30,2,13,1,30,1,7,1,28,4,30,1,29,1,28,1,30,1,6,1,13,2,28,1,30,1,28,2,13,1,30,1,6,2,30,1,28,2,30,1,13,1,10,1,8,2,17,1,9,1,12,1,17,1,12,1,17,33,11,1,17,7,12,2,11,1,10,1,9,1,8,1,9,1,11,1,9,1,11,2,17,1,10,1,11,1,17,1,11,1,17,1,11,2,17,1,16,1,11,2,17,1,16,1,17,1,11,1,12,1,10,2,9,1,8,1,11,1,9,4,8,2,7,3,6,1,29,2,28,1,29,1,30,1,28,1,29,1,30,1,27,1,30,1,7,2,6,1,7,1,13,2,7,1,8,1,7,1,6,1,28,8,30,1,28,1,30,1,27,2,29,3,6,2,29,2,7,1,24,1,7,1,6,1,24,1,8,1,9,3,8,1,9,3,8,2,13,1,8,1,13,1,6,2,7,2,13,4,8,2,7,1,8,2,9,1,8,1,9,1,11,3,12,1,16,2,11,1,17,1,10,1,11,1,9,2,10,2,9,1,10,2,16,3,10,1,12,2,11,1,9,1,17,1,9,1,16,2,17,2,11,1,16,2,17,3,16,3,17,1,16,1,17,14,12,1,17,4,11,1,10,1,9,1,10,1,8,2,13,1,8,1,13,1,6,1,8,1,13,1,6,1,7,2,29,1,6,1,29,1,6,2,29,2,7,1,30,1,7,1,29,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,7,1,30,1,6,2,13,2,6,3,13,1,7,1,8,1,13,4,11,1,9,1,11,2,16,1,11,1,16,2,17,1,16,1,17,36,12,1,17,2,12,2,17,2,12,1,17,6,12,1,17,13,12,1,17,1,12,1,17,1,12,1,11,1,12,1,17,41,11,1,17,2,12,1,17,6,12,1,17,3,10,1,11,2,12,1,11,2,12,1,9,1,10,1,12,1,11,1,10,1,17,1,12,1,17,2,11,1,10,1,9,1,24,1,8,1,10,1,13,1,8,2,24,1,9,2,11,1,10,2,11,1,9,2,8,1,9,2,10,1,24,1,12,2,9,1,10,1,8,1,11,1,9,1,8,1,9,1,8,1,11,1,16,1,11,2,12,1,9,6,10,2,9,2,8,1,10,3,9,1,10,1,9,1,17,1,8,1,10,1,9,3,8,1,9,2,12,1,17,16,11,1,17,3,11,1,17,2,11,1,17,2,11,1,17,1,11,1,12,1,17,1,11,1,17,1,12,1,17,4,11,1,12,1,17,1,12,1,17,1,11,1,12,1,17,2,12,1,17,1,11,1,10,1,11,1,17,1,12,1,17,2,24,1,12,2,10,1,17,1,10,1,9,3,24,1,7,1,9,1,7,1,13,3,10,2,13,1,10,2,8,1,12,1,8,2,9,1,12,1,9,1,10,1,12,1,8,1,10,1,9,1,11,1,17,1,10,1,8,1,24,1,13,1,10,1,13,1,10,1,24,1,13,1,24,1,13,1,10,1,13,1,24,1,8,2,7,1,13,1,6,1,29,1,13,1,24,1,13,1,6,1,28,1,6,1,29,2,30,1,28,5,5,79,6,2,7,1,13,1,8,1,13,2,8,1,7,1,6,1,29,1,13,1,29,1,6,1,29,1,13,1,28,1,30,1,28,1,30,1,28,3,30,1,28,8,30,1,11,2,12,1,17,2,12,1,17,1,12,1,17,6,12,1,17,5,12,1,17,20,11,1,17,3,12,1,17,4,12,2,10,1,12,3,17,2,12,1,17,10,12,3,17,1,9,1,24,1,10,2,9,1,11,1,13,1,9,1,7,1,8,1,13,4,7,1,13,2,6,1,30,1,28,2,30,1,13,1,5,1,33,1,5,24,28,9,13,1,17,2,16,1,10,2,9,2,8,1,9,1,8,1,13,5,8,1,9,1,17,2,9,1,6,1,28,4,30,1,16,1,11,1,8,1,28,1,29,1,30,1,28,11,}, {30,1,28,2,30,1,28,9,30,3,6,1,13,1,6,1,9,1,8,1,17,1,9,1,17,1,9,1,13,1,7,1,6,1,29,1,13,1,24,1,8,1,11,1,17,1,12,1,16,2,17,2,16,1,17,1,16,1,11,1,10,2,17,1,9,1,8,1,9,1,8,1,13,1,8,1,13,1,11,1,16,1,17,1,11,1,8,1,10,1,24,2,13,1,8,1,9,1,17,2,12,2,9,3,16,1,9,1,30,1,28,26,6,2,9,3,12,1,17,1,15,1,8,1,28,3,29,1,28,2,6,1,24,1,12,2,14,1,9,1,6,1,7,1,6,1,13,1,6,1,7,3,6,2,12,1,9,2,11,1,29,1,30,1,28,3,29,1,28,1,30,1,28,3,6,1,28,4,30,1,5,1267,33,1,6,1,28,20,30,1,6,1,29,1,30,1,8,1,28,4,7,1,28,1,6,1,30,1,28,2,6,1,30,1,6,1,13,1,6,1,30,1,28,9,30,1,6,2,7,1,30,1,6,2,30,2,28,2,6,1,28,1,30,1,13,2,30,1,28,3,7,1,13,1,30,2,6,1,28,1,6,1,13,1,9,2,8,1,10,3,11,1,17,43,12,1,10,1,9,3,11,1,9,2,8,1,11,1,9,1,10,1,9,2,11,1,9,1,16,1,12,1,16,1,11,1,12,1,11,1,10,1,11,1,9,1,8,1,9,2,10,2,9,4,10,1,9,1,8,1,24,2,8,1,13,1,29,1,7,1,30,3,29,1,30,2,27,1,30,1,29,1,25,1,7,1,6,1,7,1,6,2,13,1,29,1,6,1,8,1,28,11,29,1,28,1,26,1,27,1,29,1,27,1,29,2,25,1,6,1,29,1,24,1,13,1,24,1,13,1,9,1,24,1,8,1,9,1,24,1,9,2,8,1,24,1,8,1,7,1,8,1,7,1,8,1,13,1,8,1,7,1,8,2,6,2,13,1,8,1,7,1,13,1,6,1,24,1,9,1,8,1,9,1,11,1,12,2,11,1,12,1,11,1,16,1,11,1,10,1,12,1,9,2,17,1,16,1,11,1,17,1,12,1,10,1,12,1,11,1,10,1,12,1,11,2,17,2,12,1,11,1,16,2,17,1,16,1,17,4,16,2,17,10,16,1,17,1,9,1,11,2,9,1,10,3,11,1,17,1,11,1,10,1,8,1,13,1,11,1,13,2,6,1,8,1,13,1,7,1,29,2,8,1,6,1,7,1,13,1,29,1,7,1,6,2,29,1,6,1,30,1,7,1,30,1,6,1,13,1,6,1,29,1,6,1,7,2,13,4,29,1,6,4,13,3,7,1,13,2,9,1,24,1,8,4,10,1,11,2,16,3,17,1,16,1,17,31,12,1,17,6,12,1,17,1,12,1,17,1,12,1,17,10,11,1,17,10,12,1,17,1,12,1,17,2,12,1,17,1,11,1,12,1,17,7,12,1,17,7,12,5,11,1,17,5,10,1,17,17,12,1,11,1,17,1,12,1,11,3,9,1,11,1,9,3,11,1,8,1,11,1,12,1,10,1,11,1,9,1,10,1,12,1,10,2,9,2,13,1,11,1,9,2,24,1,9,2,24,1,11,1,9,2,10,1,9,2,24,1,8,2,13,1,8,1,12,1,11,1,9,2,11,1,9,5,11,1,8,1,9,2,11,1,9,1,10,1,9,2,8,1,9,3,10,1,9,1,13,1,12,1,13,1,8,1,9,1,17,1,9,1,11,1,10,1,12,1,9,1,10,1,9,1,8,1,9,3,10,2,12,1,17,6,11,1,17,2,11,1,17,3,11,1,17,1,11,1,17,7,11,1,17,2,11,1,17,1,11,1,17,2,9,1,17,1,11,1,17,1,12,1,17,5,11,1,12,1,17,1,12,1,17,3,12,1,17,2,12,4,10,3,17,1,12,1,17,1,10,1,17,1,24,1,8,1,11,1,8,2,9,1,24,1,13,1,24,1,13,1,24,2,10,1,24,1,12,1,24,1,12,2,10,3,12,3,10,1,8,1,17,1,9,1,10,1,11,1,10,1,8,1,10,1,13,1,24,1,9,1,24,1,10,1,13,1,24,2,8,1,13,1,8,2,7,2,6,1,13,1,7,1,13,1,7,1,30,1,28,1,29,1,28,1,6,1,28,5,33,1,5,75,9,3,13,1,8,2,13,1,8,1,13,1,6,1,13,1,6,1,30,1,7,1,30,2,28,6,30,1,28,1,30,1,28,3,30,1,28,5,29,1,17,1,12,1,17,3,12,1,17,1,12,1,17,8,12,1,17,1,12,1,17,21,12,1,17,3,12,2,17,2,11,1,17,1,12,1,17,2,11,1,24,1,12,1,9,1,12,1,17,9,12,2,17,3,12,1,9,1,8,1,10,1,24,2,10,1,24,2,8,1,9,1,13,1,7,1,9,1,13,1,7,1,13,1,8,2,6,1,30,1,6,3,28,1,30,1,28,1,33,2,5,20,33,1,28,9,13,1,17,4,10,1,17,1,9,1,8,4,6,1,13,1,8,3,9,1,16,1,17,2,28,5,29,1,14,1,9,1,29,1,28,2,30,1,28,11,}, {28,2,29,1,28,10,30,1,28,1,30,1,28,1,13,1,24,1,9,2,10,1,15,1,17,1,8,1,7,1,6,1,10,1,13,3,8,2,17,1,16,1,17,1,12,1,17,2,11,1,17,1,9,1,10,1,9,2,17,1,24,1,10,1,13,1,8,1,9,1,8,1,13,1,10,1,16,1,12,1,11,1,16,1,9,1,8,2,13,1,9,1,24,1,11,1,12,2,17,1,10,1,11,1,9,1,14,1,9,1,6,1,30,1,28,25,6,1,7,1,8,1,9,1,11,1,17,3,13,1,29,1,28,1,30,1,28,3,29,1,24,1,12,2,15,1,24,1,13,2,8,1,13,1,6,1,30,1,6,1,13,1,28,1,24,1,17,3,12,1,13,1,30,1,28,2,30,2,29,1,30,3,29,1,30,1,28,5,5,1265,33,1,28,8,6,1,28,9,6,1,28,1,29,2,28,1,30,1,28,1,6,2,28,3,30,1,28,1,30,2,6,2,13,1,7,1,13,1,28,1,13,1,28,15,6,1,9,1,13,1,7,1,6,2,13,1,7,1,28,1,6,1,30,1,6,1,13,2,6,1,30,1,6,1,13,1,30,1,6,1,29,2,30,1,9,1,8,1,9,2,8,1,9,1,13,1,17,44,16,1,9,2,10,1,11,1,9,4,11,1,9,1,11,1,9,3,12,2,10,1,17,1,11,1,12,1,9,2,11,1,9,2,8,1,10,1,8,1,9,3,10,1,9,5,24,1,8,1,13,1,6,1,13,1,6,1,29,1,28,1,29,1,30,1,29,2,27,1,29,1,26,1,29,1,6,1,7,1,6,1,30,1,7,1,6,2,25,1,30,1,28,9,30,1,28,5,27,3,26,1,25,1,6,2,24,1,6,1,13,2,8,3,24,3,8,2,24,1,8,1,7,1,8,1,13,2,24,1,8,2,7,2,13,1,6,1,24,1,6,1,7,2,6,1,13,1,24,2,12,1,9,2,10,1,12,1,11,2,16,1,9,2,11,1,10,1,9,1,11,2,12,1,10,1,9,1,11,1,10,1,11,1,9,1,17,7,16,1,17,1,16,1,17,1,16,1,17,1,11,1,16,1,17,3,16,1,17,3,11,2,9,1,17,1,9,1,8,1,9,1,8,2,12,1,9,3,13,1,9,1,8,1,9,1,8,1,13,1,6,1,8,2,13,1,7,2,6,2,7,1,6,1,7,2,6,2,29,2,7,2,29,1,7,1,29,1,7,1,6,2,7,1,6,1,7,2,13,1,7,1,6,3,29,1,13,1,6,5,13,1,6,1,13,1,6,1,13,5,8,1,13,1,9,3,11,1,16,2,17,39,12,4,17,5,12,2,17,1,12,1,17,8,12,1,17,1,11,1,17,3,11,1,17,4,12,1,17,1,10,1,12,1,17,14,12,2,11,1,17,27,12,1,17,1,11,2,17,1,10,1,11,1,17,1,10,1,9,2,12,1,10,1,9,1,17,1,9,1,12,1,11,1,12,1,11,1,9,1,10,1,8,1,13,1,24,1,8,1,9,1,13,1,24,2,9,1,8,2,24,1,8,1,13,1,24,1,13,2,9,2,8,1,13,1,9,1,17,1,9,3,24,1,9,3,24,1,13,1,9,2,8,1,9,1,16,1,11,1,9,1,11,1,8,2,9,3,8,1,9,1,11,1,9,1,8,1,9,1,8,1,11,1,9,1,11,2,17,1,9,4,13,1,9,4,11,2,17,6,11,2,17,2,12,1,17,3,11,1,17,8,12,1,11,1,12,1,11,1,12,1,17,1,12,1,17,1,11,2,17,1,9,1,17,5,10,1,12,1,17,1,12,2,10,1,17,2,12,1,17,1,12,1,17,1,12,1,17,2,10,2,12,1,8,1,12,4,9,2,7,1,9,1,8,2,10,1,8,2,10,1,13,2,10,1,8,1,10,1,24,3,10,1,12,1,9,2,12,3,17,1,8,1,10,1,8,1,9,1,8,1,10,1,12,1,10,2,7,1,24,3,8,1,24,1,8,2,7,1,8,1,13,4,6,1,29,1,7,2,30,1,6,1,28,7,5,73,9,1,13,3,6,1,13,1,10,1,9,1,8,1,6,1,13,1,29,1,13,1,30,1,7,1,6,1,30,1,28,1,6,1,30,2,28,3,30,1,28,10,29,1,9,1,11,1,17,1,10,1,12,1,17,2,12,1,17,15,12,1,17,3,12,1,17,15,12,1,17,2,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,10,2,11,1,10,1,17,7,11,1,12,2,10,1,17,2,12,1,10,2,8,1,9,1,10,1,9,3,8,1,24,1,7,1,24,1,13,4,9,2,13,3,29,1,30,1,13,1,6,1,28,3,13,1,5,19,33,1,28,9,13,1,17,2,11,1,17,2,11,1,9,1,10,1,13,1,8,1,6,2,13,1,6,1,13,2,9,2,17,1,12,1,30,1,28,4,30,1,14,1,9,1,6,1,28,1,29,1,28,12,}, {28,1,30,2,28,8,30,1,28,1,30,1,28,3,7,2,9,1,24,1,9,1,11,1,17,2,9,1,13,1,9,1,8,1,6,1,24,1,13,1,11,1,17,1,16,1,11,1,16,2,17,1,11,1,17,2,16,1,9,3,12,1,8,4,9,1,13,1,9,1,17,3,16,1,13,1,8,1,13,2,24,1,8,1,17,3,12,1,17,1,12,1,16,1,12,1,9,1,7,1,28,26,30,1,7,1,8,1,10,1,11,1,17,2,16,1,24,1,29,1,30,1,29,2,28,2,6,1,13,1,10,1,12,1,14,1,9,1,8,2,6,3,30,2,7,1,29,1,13,1,9,1,8,1,16,1,17,1,13,1,28,1,30,1,28,2,6,1,30,3,28,1,29,2,28,5,33,1,5,1263,13,1,28,17,30,2,13,1,6,2,13,1,29,1,28,1,6,1,30,1,7,1,28,5,13,3,7,1,8,1,7,1,6,1,28,20,6,1,7,1,30,1,13,1,28,2,7,1,28,1,13,2,9,1,13,1,28,1,13,1,6,3,7,1,13,2,8,2,9,1,11,1,10,1,11,1,17,31,12,1,17,3,12,1,17,11,11,1,9,4,8,1,10,1,9,4,8,1,12,1,11,1,9,1,11,1,17,1,9,1,10,1,8,1,13,1,9,1,13,1,9,1,8,1,24,1,8,3,9,1,13,1,24,1,8,1,11,1,9,1,24,1,8,2,13,2,7,1,29,1,6,1,30,1,6,1,30,1,29,1,27,1,25,1,27,2,6,1,7,1,6,2,13,1,25,1,7,2,25,1,28,13,30,1,27,1,30,1,29,1,26,1,28,1,27,1,29,1,25,1,29,1,8,1,6,2,24,1,13,1,8,1,24,1,9,1,24,1,8,1,7,1,8,1,24,1,6,1,13,1,7,1,8,3,6,1,13,1,7,2,8,1,6,1,29,1,28,1,6,2,7,1,13,1,8,1,13,1,9,1,8,2,9,1,11,2,16,1,11,1,12,1,9,2,11,1,12,1,9,1,11,1,10,1,16,1,12,1,16,1,11,2,17,3,12,1,17,1,11,1,17,5,16,2,17,1,16,1,17,5,16,1,11,1,17,1,11,1,9,1,8,1,11,1,9,2,10,2,9,2,7,1,9,1,8,2,13,2,8,2,24,1,13,1,7,2,29,1,8,1,6,1,28,1,6,1,30,1,6,4,25,1,27,1,29,1,6,1,25,1,29,1,6,1,28,1,6,1,13,1,6,1,7,1,6,1,7,1,6,4,7,2,6,1,7,1,30,1,13,1,6,3,7,1,13,2,8,1,6,1,13,1,7,1,13,2,8,2,11,1,9,2,11,2,16,2,17,1,16,2,17,26,10,1,11,1,17,1,12,2,17,2,10,1,12,1,11,1,12,1,9,1,10,1,12,1,10,1,9,1,10,1,17,2,12,1,17,2,12,1,17,4,12,1,17,2,11,1,12,1,17,3,12,1,17,4,12,2,10,1,11,1,8,1,11,2,17,5,12,1,17,7,12,1,11,1,17,1,12,1,11,1,17,23,12,1,17,1,12,1,17,1,11,1,10,1,11,1,10,1,11,1,9,1,17,1,9,2,10,2,11,1,9,1,12,1,10,1,9,4,8,1,9,1,8,1,7,1,24,1,8,2,24,1,10,1,13,1,9,1,8,1,24,2,8,1,13,1,8,1,24,1,13,1,8,1,24,1,10,1,24,1,8,1,24,1,10,1,24,1,9,1,8,3,13,1,8,1,9,1,8,1,9,1,11,1,9,3,8,1,9,2,11,1,9,3,10,1,8,1,9,1,11,1,10,1,11,2,10,1,9,1,11,1,17,1,10,1,9,1,8,1,11,1,8,1,9,4,12,1,11,1,17,3,11,3,10,1,11,1,9,1,11,4,17,1,12,1,17,4,11,3,17,2,12,1,11,1,9,1,12,1,11,1,17,1,11,3,12,1,11,5,17,1,12,1,10,1,17,1,11,2,12,3,17,1,12,1,17,3,12,1,17,3,12,3,9,1,12,2,24,1,12,1,10,1,7,1,8,2,7,1,24,1,13,1,9,1,8,1,9,1,13,1,12,1,24,1,12,1,9,1,12,2,24,1,8,1,9,1,12,1,17,1,9,1,10,2,9,1,17,1,10,2,24,1,12,1,24,1,10,1,8,1,10,1,24,1,10,1,24,1,8,2,13,1,7,1,6,1,7,1,9,1,7,3,29,1,30,1,8,1,29,1,7,1,28,7,5,71,13,2,8,1,9,1,11,1,12,1,11,1,12,1,13,2,7,1,13,1,8,1,6,1,7,1,13,1,7,1,28,1,30,1,6,1,28,1,7,1,6,1,28,2,30,1,28,8,29,1,28,1,29,1,7,1,11,1,17,1,12,2,10,1,12,1,17,1,12,1,17,16,12,1,17,5,12,1,17,20,12,1,17,1,12,2,17,1,11,1,12,1,9,1,17,5,12,1,17,3,12,2,10,1,17,1,12,1,11,1,12,1,8,2,10,1,17,1,8,1,9,1,8,1,13,1,8,1,13,3,8,2,9,1,13,1,9,1,13,1,7,1,30,1,6,1,30,1,28,1,30,3,28,2,5,18,13,1,28,9,13,1,17,3,16,1,11,1,9,1,11,1,9,1,8,1,6,1,13,1,8,1,7,1,6,1,13,2,7,1,10,1,17,1,9,1,28,5,6,1,14,1,13,1,29,1,28,14,}, {29,1,28,13,29,1,28,1,30,2,6,1,24,1,9,1,8,1,17,1,14,1,17,1,10,1,13,1,8,2,13,2,9,1,10,1,17,1,16,1,9,1,12,1,16,1,17,1,16,1,17,1,11,2,9,1,11,1,16,1,10,1,11,1,9,1,8,3,9,2,16,1,17,1,12,1,11,1,24,1,10,1,13,2,8,1,10,1,9,1,17,1,16,1,17,1,15,1,10,1,9,1,11,1,9,1,7,1,28,26,6,2,13,1,10,1,24,1,17,1,11,1,17,1,13,1,6,3,28,2,30,1,6,1,8,1,10,1,15,1,14,1,9,2,8,1,6,2,30,2,6,1,30,1,7,1,8,2,12,1,17,1,12,1,6,1,28,1,30,1,28,1,30,1,6,1,30,2,28,3,30,1,28,2,30,1,28,2,5,1261,6,1,28,1,30,1,28,16,30,1,28,1,7,1,6,1,13,1,7,1,13,2,8,1,6,1,13,1,30,1,7,1,28,2,30,2,8,1,7,1,13,1,6,1,13,1,7,2,8,1,28,9,30,1,28,10,30,1,13,1,30,1,13,2,6,3,13,1,8,1,9,1,8,1,13,2,6,1,13,1,30,1,13,3,9,2,17,1,11,1,17,44,16,1,17,2,11,1,17,1,11,3,10,1,9,4,13,1,9,3,10,1,9,1,10,1,11,1,17,1,11,1,8,1,10,1,8,1,10,1,13,1,24,1,9,1,8,1,24,1,8,1,9,2,8,1,9,1,8,1,9,1,24,1,9,1,13,1,8,2,7,1,6,2,7,1,30,1,29,1,30,1,6,2,7,1,30,1,29,1,30,1,29,1,7,3,29,1,13,2,7,1,28,12,30,1,28,1,29,3,27,1,29,1,27,1,25,1,6,2,24,1,7,1,13,1,8,1,13,1,8,5,24,1,8,2,7,1,24,1,8,1,13,1,8,1,13,2,8,1,25,1,30,1,6,4,29,1,7,1,13,1,24,1,13,1,29,1,8,1,7,1,8,2,13,1,10,3,11,2,10,1,9,1,8,1,16,1,9,2,11,1,8,1,11,2,9,1,11,1,17,3,11,1,17,3,16,2,17,2,16,1,17,3,16,1,17,1,16,2,9,1,10,1,11,1,10,1,9,4,13,1,9,1,10,1,9,1,13,1,8,1,24,1,8,2,9,1,24,1,8,1,24,1,13,1,8,1,13,2,6,1,7,1,6,2,29,1,7,2,6,4,28,1,7,1,25,1,7,1,30,1,29,1,7,1,6,3,7,1,6,6,8,1,6,5,7,2,6,2,7,1,13,1,7,2,13,3,24,1,8,2,9,4,16,1,11,2,16,3,17,20,12,1,13,2,8,1,13,4,8,1,24,1,13,1,8,1,13,1,24,1,13,2,24,1,13,1,8,1,7,2,13,1,7,1,8,1,13,1,7,1,24,1,13,2,9,3,8,1,9,1,10,1,9,1,12,1,17,2,12,1,17,5,12,1,9,2,13,1,9,1,11,1,8,1,10,1,9,1,12,1,11,1,17,2,12,1,17,2,12,1,17,10,11,1,17,3,12,1,17,19,12,1,11,2,12,1,11,3,9,1,17,1,13,1,12,1,10,1,9,5,13,1,8,1,7,1,13,1,7,2,8,1,24,1,9,1,8,3,24,1,8,1,24,1,13,5,7,1,8,1,13,1,8,2,24,2,13,1,8,1,9,1,8,1,9,1,24,1,13,2,8,1,24,1,8,1,9,1,12,1,16,1,11,1,9,1,16,1,9,2,11,2,9,1,11,1,9,1,11,1,9,1,8,1,9,1,11,1,9,2,16,1,9,1,10,1,16,1,11,1,10,1,9,3,10,1,8,2,10,1,9,1,10,1,17,2,11,4,8,1,9,2,11,4,17,2,11,2,17,4,11,1,17,1,12,1,9,1,12,1,10,2,12,1,10,1,17,1,12,2,17,2,12,3,17,2,12,2,11,1,9,1,17,1,12,1,11,1,12,2,17,4,12,5,17,1,10,1,12,2,9,2,12,1,17,1,11,1,13,1,9,1,7,1,10,1,8,2,24,1,10,1,8,1,24,1,7,1,9,1,11,1,24,1,12,1,10,1,8,1,9,2,10,2,17,1,10,2,17,1,12,1,8,1,17,1,10,2,12,1,24,1,12,1,10,1,13,1,8,1,13,3,8,1,24,1,8,1,7,1,6,1,8,1,7,1,13,1,7,3,29,1,30,1,6,1,28,6,13,1,5,67,30,1,9,2,8,1,10,1,9,1,12,1,9,1,24,1,13,2,6,2,8,1,29,1,13,2,30,2,29,1,6,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,1,6,1,13,1,17,1,10,1,17,1,12,1,17,1,12,1,17,10,12,2,17,6,12,2,17,24,12,2,9,1,17,1,12,1,17,2,11,1,12,3,17,7,11,1,17,1,12,1,17,1,12,1,9,1,17,1,8,1,10,1,8,1,17,1,9,1,8,1,9,1,8,1,13,1,8,1,9,2,8,1,9,3,13,2,7,1,6,1,30,1,6,1,28,3,30,1,28,2,13,1,5,17,30,1,28,9,9,1,17,2,12,1,11,1,12,1,11,3,13,2,8,1,6,3,8,1,15,1,10,1,11,1,17,1,11,1,28,5,30,1,14,1,12,1,30,1,28,1,30,1,28,12,}, {28,3,30,2,28,4,30,1,28,4,29,1,28,1,30,1,28,1,29,1,13,1,8,1,9,1,12,1,10,1,15,1,11,1,8,2,13,1,8,1,9,1,8,1,9,1,17,2,16,2,17,6,10,1,9,1,16,1,17,1,9,2,8,1,24,1,8,2,12,1,17,1,16,1,17,1,9,3,13,1,8,1,13,1,11,1,16,1,14,1,17,2,15,1,9,1,15,1,8,1,14,1,13,1,28,26,6,2,13,1,24,1,9,1,17,1,10,1,12,1,13,1,6,1,28,3,30,1,28,2,9,1,12,1,9,1,14,1,24,2,9,1,7,1,13,1,6,1,30,1,6,1,29,1,7,1,8,1,9,2,10,1,9,1,11,1,28,4,29,1,30,1,6,1,28,3,13,1,28,2,30,2,28,1,5,1259,13,1,30,1,28,16,30,1,6,1,28,1,6,1,28,1,30,1,9,1,6,1,7,1,13,2,7,1,9,1,13,2,6,1,28,1,30,1,6,1,13,2,29,1,13,2,6,1,7,1,13,1,6,1,28,2,30,2,28,1,13,1,28,1,7,2,30,1,13,2,30,5,28,1,6,1,30,1,6,1,13,1,7,1,6,2,7,1,13,1,7,1,9,1,13,1,11,1,8,1,13,2,7,2,9,1,13,1,8,1,13,1,9,1,17,28,10,1,17,6,12,1,17,5,11,1,17,3,16,2,17,1,16,2,17,1,11,4,9,1,11,2,9,2,13,1,9,1,11,1,8,1,9,4,11,1,9,1,8,3,9,2,8,1,24,1,8,2,9,1,7,1,8,1,24,1,9,3,8,1,24,1,13,1,9,1,13,1,7,2,29,1,30,1,7,1,6,1,29,3,7,1,6,1,25,1,29,1,6,1,25,1,30,1,13,1,29,1,6,1,7,1,30,1,28,11,30,2,28,1,30,1,28,1,27,3,29,1,27,1,26,1,24,1,25,1,8,1,13,3,6,1,8,1,6,1,8,1,24,1,10,1,7,1,8,1,13,1,7,1,13,2,24,1,13,1,8,1,6,1,25,1,6,3,7,1,6,1,29,1,6,2,13,1,7,1,6,2,13,2,9,1,8,1,10,1,11,1,17,1,16,1,10,1,9,1,16,1,8,1,11,4,9,1,11,2,12,1,10,1,11,1,16,1,17,1,11,2,17,1,16,1,17,1,11,1,16,1,17,3,16,2,17,1,11,1,16,1,11,2,9,1,10,1,8,1,9,1,8,2,9,1,24,1,8,1,9,1,8,3,9,1,8,1,24,1,8,1,13,1,8,1,13,3,6,1,13,1,6,1,7,1,13,2,6,1,29,1,6,3,7,1,29,1,25,1,30,1,7,1,25,1,7,1,29,1,6,1,25,1,6,2,29,1,13,1,6,2,7,1,6,1,13,1,29,1,6,1,29,1,6,3,29,1,6,1,29,1,13,1,30,1,13,1,6,2,7,1,6,1,13,1,24,1,8,1,9,3,11,1,9,1,11,1,9,1,16,3,17,1,16,1,17,1,16,2,17,2,16,1,17,8,11,2,9,1,13,3,8,1,13,1,6,1,8,1,7,1,6,3,13,1,7,1,6,1,24,1,13,1,8,2,6,1,7,2,6,1,13,1,6,2,7,1,6,1,13,1,6,1,13,2,7,1,13,3,6,2,7,1,8,1,12,1,17,3,11,1,17,2,10,3,17,2,9,2,12,1,9,1,24,1,10,1,11,1,17,4,11,1,17,17,11,1,17,17,12,1,17,2,9,1,11,3,9,1,10,1,9,2,11,1,8,1,10,1,9,1,8,2,13,1,6,1,9,1,13,1,8,1,13,3,24,1,13,1,24,2,8,2,29,1,24,1,13,1,24,1,6,1,8,6,24,1,7,1,24,1,13,3,8,3,24,2,9,1,8,1,11,1,9,2,10,1,11,1,12,1,17,1,11,2,16,1,11,1,16,1,12,1,17,1,9,1,11,1,12,1,9,1,11,1,16,1,9,1,16,1,11,2,17,1,10,1,9,4,11,1,9,3,10,1,12,1,11,2,12,1,9,2,10,1,9,4,12,1,11,2,17,4,11,1,17,3,12,1,11,2,12,1,17,1,11,1,12,2,10,1,11,1,12,1,11,1,12,1,17,1,9,1,11,1,12,1,11,1,10,1,17,1,12,2,11,1,17,1,11,3,12,1,17,6,12,1,17,2,12,2,10,1,12,2,10,1,9,2,8,1,12,1,8,2,24,1,9,1,13,1,10,2,24,1,10,1,12,1,8,1,10,1,13,1,17,1,10,1,17,1,10,1,11,1,9,1,10,1,17,1,12,2,10,1,11,1,17,1,12,1,24,1,12,2,24,1,10,1,24,2,12,1,24,2,8,1,7,1,13,1,30,1,8,1,7,2,8,1,13,1,7,1,6,1,13,1,6,1,30,1,6,1,28,6,6,1,5,64,9,1,13,2,8,1,12,1,24,2,9,1,8,1,24,1,8,1,30,1,6,1,13,3,29,1,7,1,13,1,6,1,7,1,6,2,28,2,30,1,28,2,6,2,28,3,30,1,28,6,30,1,13,1,10,1,11,1,12,2,17,21,12,1,17,16,12,1,11,1,17,8,12,1,17,1,10,1,17,2,12,1,17,1,12,1,17,1,12,1,17,6,12,2,17,2,10,1,12,2,10,1,12,1,10,1,24,2,12,1,10,1,7,1,8,1,7,1,13,3,10,1,8,1,13,1,12,1,10,1,8,1,7,1,6,1,13,2,30,1,28,1,30,1,28,3,5,17,28,9,30,1,13,1,17,4,10,1,24,1,9,1,8,1,13,2,6,1,13,2,6,1,8,1,10,1,24,1,16,1,17,1,8,1,28,5,13,1,14,1,10,1,30,2,28,13,}, {28,6,30,1,28,3,30,1,28,1,29,1,28,2,6,1,28,1,6,1,7,1,13,1,24,2,10,1,9,1,15,1,11,1,8,1,13,2,9,1,8,1,13,1,12,1,17,2,16,1,9,1,11,1,17,4,12,1,9,1,11,1,10,1,11,1,8,1,9,1,8,2,13,1,8,1,11,1,17,3,16,2,24,1,9,2,24,1,8,1,17,1,14,2,17,1,15,1,11,1,15,1,9,1,17,1,13,1,28,24,30,1,28,3,7,1,24,1,8,1,24,1,10,1,24,1,13,1,6,1,28,5,29,1,8,1,12,3,9,1,8,2,6,1,13,1,30,1,28,1,30,2,7,1,8,1,9,2,17,1,12,1,13,1,30,1,28,3,30,1,28,1,29,1,28,3,6,1,28,4,6,1,5,1257,13,1,6,1,28,10,30,1,28,7,30,1,28,1,30,1,29,1,8,1,13,1,30,1,6,1,7,1,6,1,13,1,8,1,9,1,8,1,13,1,28,1,6,1,29,1,13,2,6,1,30,2,6,1,30,1,7,1,13,1,28,1,6,2,13,2,9,1,10,1,9,1,6,1,13,3,30,1,13,1,9,1,13,5,6,3,13,1,6,1,9,1,30,1,13,1,9,2,11,1,9,1,8,1,13,1,6,1,13,1,9,1,8,2,11,2,17,18,11,1,17,8,12,1,17,5,12,1,17,8,11,1,17,3,16,1,17,1,16,4,10,1,17,1,11,1,16,1,9,1,13,1,9,1,13,1,8,1,9,3,11,1,8,2,9,1,8,1,24,1,8,4,9,2,24,1,10,1,8,1,9,1,8,4,9,1,8,2,9,1,8,1,9,1,8,3,6,1,13,1,6,4,29,1,6,1,30,1,29,1,30,1,25,1,28,1,6,1,7,2,6,1,13,1,7,1,28,14,29,3,28,1,29,1,27,1,26,1,25,1,26,1,6,2,8,1,13,2,7,1,6,1,8,1,13,3,8,2,24,1,7,1,13,1,8,1,6,2,8,1,7,2,29,1,6,1,8,1,6,1,30,1,6,2,29,1,7,1,29,1,6,1,8,1,9,1,10,1,13,2,9,1,16,1,9,2,11,1,9,1,11,1,12,1,9,1,10,1,9,1,12,1,9,6,16,1,9,1,17,1,11,1,17,2,16,3,17,1,16,2,17,4,9,2,16,1,9,1,8,1,9,1,8,2,13,1,9,1,6,1,8,2,13,1,24,1,13,1,9,1,24,1,8,1,24,1,13,1,8,1,13,1,24,1,8,2,13,1,29,1,6,3,29,1,7,1,6,2,30,1,29,1,7,1,29,1,25,1,6,1,25,1,30,1,29,1,6,1,29,1,7,1,6,2,13,1,6,2,7,1,6,2,7,1,29,1,6,2,7,1,13,1,6,1,7,1,6,2,13,2,6,1,13,2,7,1,8,2,13,1,24,1,8,3,9,1,11,4,16,3,17,3,16,1,17,1,16,5,12,1,17,1,9,1,13,1,8,1,13,1,7,1,6,1,13,1,6,1,13,1,6,2,7,1,28,1,13,1,7,1,13,1,6,2,7,1,13,1,7,2,13,1,6,1,13,4,6,1,7,3,13,1,6,1,13,2,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,9,1,8,1,24,1,10,1,17,1,11,1,12,3,8,1,12,3,11,1,10,1,12,1,9,1,11,1,12,1,11,1,9,1,17,1,12,1,10,1,17,20,12,1,17,5,11,1,17,1,12,1,10,1,17,3,10,1,17,3,11,5,9,1,8,1,11,1,9,2,8,1,9,1,8,2,7,1,8,2,7,1,13,1,8,1,6,1,8,4,13,1,8,6,7,1,8,1,7,1,24,1,13,4,8,2,24,1,13,2,8,1,13,2,24,1,13,2,8,1,9,1,8,1,10,1,11,2,16,2,17,2,16,1,10,1,17,1,10,1,11,2,10,1,11,1,10,1,16,1,11,3,17,1,9,1,16,2,9,1,11,1,9,3,24,1,9,2,8,1,9,1,10,1,9,2,11,1,9,2,11,1,9,2,8,2,9,1,11,1,9,1,17,1,12,1,11,1,17,2,10,1,17,3,12,1,17,1,11,3,12,1,17,1,11,1,17,1,12,1,11,1,17,1,12,3,17,2,12,1,17,1,9,1,12,1,17,1,11,1,17,1,12,1,11,1,17,1,11,2,17,5,11,1,17,3,12,1,10,2,11,1,10,1,24,2,10,1,24,1,8,1,13,1,7,1,24,1,8,1,10,1,13,1,10,1,9,1,17,1,10,4,9,1,12,1,17,1,12,6,10,1,17,1,12,1,24,1,17,1,9,1,12,2,17,1,24,3,13,1,24,1,13,1,24,1,10,1,13,2,6,1,13,1,8,1,7,1,8,1,7,1,6,1,7,1,28,1,6,1,28,7,33,1,5,61,13,1,6,1,8,2,9,2,12,1,8,1,9,1,24,1,13,2,30,1,6,1,13,1,7,1,13,2,6,1,28,1,13,1,30,1,13,1,30,4,28,1,30,2,28,12,10,1,12,2,17,3,12,1,17,11,12,1,17,4,12,1,17,1,12,1,11,1,12,2,17,21,12,1,17,4,12,3,17,1,12,2,17,3,11,1,17,2,12,1,17,3,12,1,17,2,12,1,17,1,12,5,8,1,24,1,10,1,7,1,9,1,13,1,7,1,8,1,9,1,8,1,9,2,13,1,7,1,29,1,7,1,29,1,28,3,30,1,28,4,5,16,28,10,16,1,17,2,16,1,17,2,10,1,9,1,13,1,7,1,6,1,13,1,8,1,7,1,13,1,9,2,11,2,17,1,9,1,28,5,13,1,17,1,15,1,28,2,30,1,28,12,}, {29,1,28,11,30,1,29,1,13,1,28,1,6,3,24,1,8,1,13,1,24,1,9,2,24,1,6,1,9,1,13,1,8,1,9,2,10,1,17,4,16,1,17,1,16,1,17,3,9,2,10,1,17,1,8,1,9,1,13,1,9,1,13,1,9,1,16,1,17,3,12,1,17,1,12,1,13,1,8,2,9,1,10,1,17,1,12,1,17,1,12,1,9,1,8,1,12,1,10,1,9,1,28,27,30,1,8,1,13,1,9,1,24,1,9,2,6,1,29,1,28,2,30,1,29,1,30,2,8,1,12,2,15,1,9,1,13,1,8,1,13,2,29,1,6,1,28,1,29,2,9,1,8,1,12,1,17,2,6,1,29,1,28,3,30,1,29,1,28,7,29,1,28,1,13,1,5,1254,9,1,30,2,28,1,30,1,28,8,30,1,28,8,6,1,30,1,6,1,8,1,13,3,6,1,7,1,8,1,13,2,7,1,29,1,6,1,7,1,6,1,13,1,30,3,28,8,13,1,6,1,13,3,8,1,13,1,7,1,13,4,9,2,13,1,9,2,13,3,8,1,30,1,13,1,7,1,13,1,9,1,13,3,8,1,17,1,12,1,13,1,6,1,13,1,8,1,9,1,11,2,17,31,12,1,17,6,12,1,17,6,11,2,16,3,11,1,17,1,11,3,9,2,29,1,13,4,9,5,11,1,13,1,8,2,24,1,8,1,9,1,13,2,9,1,13,2,24,1,13,1,24,1,8,5,9,1,10,1,9,4,8,1,13,1,6,1,30,1,13,1,28,1,13,1,30,1,6,1,29,1,30,1,29,2,6,1,29,2,13,1,7,1,13,1,29,1,28,14,30,1,27,1,29,1,30,2,29,1,6,4,7,1,13,1,6,1,29,1,7,1,8,1,13,2,8,1,7,1,8,1,7,1,8,4,24,1,13,3,25,1,8,2,29,1,13,1,6,1,30,1,29,1,6,2,13,1,24,1,7,1,8,3,24,1,11,1,9,1,11,1,10,1,9,1,11,2,10,1,8,1,11,1,9,1,11,2,8,1,11,1,9,1,10,1,9,2,17,1,16,1,11,1,17,2,16,3,17,1,16,1,17,4,16,1,11,1,9,1,11,1,9,1,13,1,9,2,24,1,13,5,8,1,24,1,8,1,13,1,8,2,24,1,8,1,10,1,13,1,8,2,6,1,13,1,6,1,7,4,6,2,7,1,6,1,8,1,28,1,7,1,30,1,6,2,29,1,6,1,7,1,6,3,25,1,29,1,7,2,6,1,30,1,7,1,30,2,29,2,6,5,30,1,6,3,13,1,29,1,24,1,7,1,8,1,9,1,24,1,8,1,13,1,9,4,11,2,17,1,16,1,17,4,16,1,17,1,16,2,10,1,9,1,8,2,7,1,6,1,29,1,6,2,29,1,6,1,29,1,6,1,13,1,30,1,6,1,7,1,6,3,7,2,6,3,7,1,13,2,6,1,13,4,7,3,13,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,7,2,29,1,13,1,7,1,13,2,24,1,8,1,24,1,9,2,10,1,12,1,11,1,12,1,11,2,17,2,9,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,12,1,17,2,12,2,17,2,11,2,17,7,11,1,17,17,11,1,17,6,11,1,9,1,8,1,13,1,9,2,8,1,24,1,13,1,7,1,13,2,7,1,6,1,13,1,6,1,8,1,7,1,8,1,13,1,6,1,8,1,7,1,8,1,13,1,8,2,7,1,8,1,6,1,13,1,6,2,13,1,6,2,13,1,7,1,24,1,8,1,13,1,7,1,24,1,13,2,7,1,8,1,13,2,9,2,10,1,13,1,9,2,10,1,11,1,17,1,10,1,16,3,17,3,11,2,16,2,17,3,16,2,17,1,11,1,16,1,10,1,9,3,8,1,9,5,8,1,9,1,11,3,17,1,8,1,11,2,13,1,9,1,11,1,10,2,17,2,11,1,17,1,12,1,11,1,17,1,12,1,9,1,11,1,17,1,12,1,11,2,12,2,11,1,12,3,11,1,10,1,12,1,17,3,11,1,17,1,11,1,12,2,17,1,12,1,17,1,9,1,12,1,17,1,12,1,17,5,12,2,17,1,12,1,10,1,12,1,17,1,10,1,12,1,24,3,13,1,6,1,8,3,24,2,8,1,10,1,24,2,10,1,12,1,24,1,10,1,17,1,10,1,12,1,10,1,12,1,10,2,12,2,10,2,12,1,24,1,10,2,12,1,8,1,24,1,17,1,8,1,7,1,8,1,13,1,8,1,7,1,24,1,8,1,7,2,24,1,8,1,6,1,13,1,6,4,30,1,28,1,30,1,28,4,5,59,9,1,7,1,13,2,8,1,13,1,8,1,24,1,10,1,8,3,30,1,13,1,29,1,13,3,7,1,30,1,7,1,6,2,13,1,30,1,13,1,30,2,28,2,29,1,28,1,30,1,28,9,6,1,7,1,9,1,8,1,12,2,17,1,12,1,17,3,12,2,17,42,12,1,17,9,11,1,12,1,17,6,12,3,11,1,17,1,24,1,12,1,10,1,12,2,24,1,10,1,8,1,13,2,7,1,13,1,9,1,8,1,11,2,8,1,10,1,8,2,13,1,7,1,28,3,30,1,6,2,28,2,13,1,5,15,28,9,13,1,10,1,17,1,16,1,17,2,11,1,9,1,13,1,8,1,6,1,7,1,8,3,6,1,8,1,10,1,12,1,17,2,13,1,28,5,9,1,14,1,10,1,28,2,29,1,28,12,}, {30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,6,6,2,30,2,6,2,12,1,13,1,12,1,8,1,24,1,14,1,8,1,24,1,13,2,9,1,8,2,11,1,17,2,11,1,16,1,17,3,16,2,17,1,9,2,11,1,17,1,8,2,9,1,13,1,24,1,8,1,12,1,17,2,11,2,8,1,13,1,9,1,13,1,7,1,11,1,9,1,17,3,10,2,9,1,11,1,16,1,8,1,6,1,28,27,13,3,7,1,8,1,9,1,8,1,28,4,30,1,28,1,6,1,8,1,9,1,10,2,24,1,13,2,7,2,30,1,28,2,6,1,29,1,10,1,9,1,17,1,8,1,17,1,13,1,30,3,28,2,29,1,30,2,28,1,6,1,30,1,28,2,13,1,6,1,13,1,5,1253,30,3,28,9,6,1,28,8,30,1,28,1,13,1,8,1,13,3,9,2,13,4,8,1,6,1,8,1,13,3,7,1,28,2,30,1,28,1,30,2,13,1,6,1,30,1,6,1,30,1,28,1,7,1,13,2,9,1,13,1,10,1,9,2,13,1,6,1,9,1,13,1,8,1,13,2,9,1,16,1,8,2,13,9,9,2,8,1,13,4,17,1,12,1,17,41,12,1,11,1,17,4,16,4,17,2,11,1,17,1,11,1,9,1,6,1,13,2,6,1,13,1,24,1,13,1,9,1,24,1,9,1,8,1,24,2,13,3,7,1,8,2,24,1,13,2,24,1,7,1,8,1,13,1,24,1,8,3,9,1,8,1,10,1,9,2,8,1,9,1,24,1,13,1,6,1,7,2,6,2,30,1,7,1,29,1,6,2,29,1,7,1,6,1,7,2,8,2,28,16,30,1,28,1,27,1,30,1,26,1,29,1,6,1,25,2,8,1,7,1,8,1,29,1,8,1,6,1,13,1,8,1,7,1,13,1,8,1,13,1,24,1,6,3,30,1,8,1,24,1,25,1,29,1,7,1,13,1,29,1,13,1,6,1,13,1,6,1,29,1,24,1,13,3,7,1,13,1,8,1,9,2,12,1,9,2,11,1,10,1,11,1,9,1,11,1,9,4,13,1,9,3,11,1,9,1,16,2,11,1,16,4,17,6,16,1,9,1,16,1,9,1,8,1,9,1,13,1,24,1,8,1,13,2,7,1,13,2,24,1,13,1,7,1,24,1,8,1,24,1,13,1,9,1,8,1,13,2,6,1,7,1,8,2,29,1,7,1,30,1,13,1,6,1,25,1,26,1,25,1,30,1,27,1,29,1,6,1,30,1,6,1,26,1,30,1,6,1,27,1,26,1,25,1,29,1,6,1,28,1,7,1,25,1,29,1,6,1,7,1,6,1,27,1,25,1,29,2,8,1,30,1,7,1,29,1,7,1,24,1,30,1,13,1,7,1,13,3,8,1,24,1,9,2,8,1,9,2,11,2,16,1,11,1,17,1,16,1,17,5,9,1,13,2,6,1,29,3,6,1,7,1,29,1,6,1,7,1,30,1,6,1,7,1,29,2,6,2,30,1,6,1,29,3,30,1,29,1,7,1,6,2,29,1,7,4,6,2,7,1,6,1,7,1,6,1,13,1,29,1,6,2,7,1,29,1,6,2,29,1,7,2,13,2,7,1,13,1,7,2,8,1,24,1,8,1,13,1,24,1,13,1,9,1,10,1,8,1,12,1,8,1,10,1,12,1,11,1,9,1,17,1,12,2,10,1,17,1,12,1,11,1,17,2,11,1,17,2,12,2,17,9,11,1,17,8,11,1,17,4,10,1,9,1,17,1,11,1,16,1,17,1,9,1,11,1,10,2,9,2,10,1,9,1,24,1,13,1,8,1,13,1,7,1,29,1,13,3,8,1,6,1,7,1,13,1,25,1,6,1,29,1,6,1,13,1,7,1,13,1,8,1,29,1,13,1,6,1,13,1,7,1,6,2,13,1,7,1,8,1,6,1,7,1,8,1,6,1,8,1,13,3,8,1,24,1,9,1,8,1,9,2,12,1,9,2,13,1,16,1,9,1,11,1,17,4,16,1,9,1,17,1,16,1,9,1,11,1,16,1,11,1,16,2,17,1,11,2,16,1,17,1,10,1,11,2,9,3,13,2,8,1,9,1,8,2,11,1,12,1,11,2,9,1,8,2,9,2,10,1,9,1,11,1,12,1,11,1,9,1,11,1,17,2,12,1,11,2,10,1,11,1,12,1,10,2,11,1,9,1,11,2,10,1,17,1,11,1,12,1,17,1,11,1,17,4,11,2,12,1,17,1,12,1,17,1,12,1,11,1,17,1,12,1,17,10,24,1,12,2,8,1,12,1,10,1,8,1,9,1,13,1,8,1,24,1,8,2,9,1,24,1,8,1,17,1,12,1,10,1,17,1,9,1,10,2,8,1,9,1,17,3,12,2,17,2,9,1,17,1,12,1,17,1,9,1,8,1,12,1,24,1,7,1,24,2,12,1,8,1,9,2,6,1,13,5,8,2,30,1,28,1,30,1,28,1,13,1,30,1,7,1,28,5,5,57,13,2,7,1,13,1,8,1,24,1,10,2,9,1,10,1,13,1,29,1,28,1,6,1,7,1,6,2,7,1,6,2,29,1,30,1,7,2,28,2,6,1,28,1,30,1,28,1,30,1,28,11,30,1,28,1,13,1,11,1,9,1,10,1,12,2,17,1,11,1,17,1,12,1,17,14,11,1,17,1,12,1,17,29,11,1,12,2,10,1,12,1,17,2,12,1,11,1,12,2,17,3,10,1,17,2,12,1,17,1,10,1,17,1,10,1,17,1,10,2,9,1,10,1,24,1,9,1,7,1,10,1,29,1,8,3,9,3,24,1,9,1,13,3,7,1,28,1,30,3,28,1,6,1,28,1,13,1,5,15,28,9,13,1,16,1,17,1,16,1,17,2,9,2,13,1,6,1,29,1,24,1,8,1,13,2,24,1,9,1,10,1,12,1,16,1,17,1,8,1,28,5,6,1,10,1,29,1,30,1,28,14,}, {28,2,30,1,29,1,13,1,28,2,29,1,28,3,30,1,29,1,28,1,29,1,30,1,28,1,6,1,8,1,9,1,10,1,24,3,9,1,14,1,13,2,29,1,8,1,24,1,9,1,17,3,16,3,17,1,16,1,17,2,11,1,8,2,10,2,9,1,13,2,8,1,13,2,8,1,17,4,8,1,9,1,8,1,13,2,24,1,9,1,17,3,10,2,12,1,8,1,11,1,8,1,6,1,28,27,13,1,29,1,13,1,7,1,12,1,8,1,13,1,6,1,30,1,28,4,29,1,8,1,12,1,9,1,15,1,13,1,8,1,7,1,28,1,30,1,6,1,28,1,30,1,6,1,13,1,8,1,10,1,12,1,17,2,13,1,6,2,30,1,6,1,28,1,29,1,30,1,6,2,28,1,6,1,28,2,8,1,9,1,13,1,5,1251,6,1,28,1,6,1,28,1,30,1,28,8,13,1,28,1,30,1,28,1,6,1,28,4,30,1,13,1,6,1,9,3,8,2,7,1,6,1,7,1,13,3,9,1,13,4,6,1,13,1,28,1,29,1,6,1,28,4,7,1,30,1,9,1,13,2,8,1,6,1,30,1,13,1,8,2,13,2,9,2,13,4,9,3,11,1,9,1,13,1,9,1,6,1,7,1,6,1,9,1,6,1,13,1,8,1,11,1,9,1,11,1,13,2,9,1,11,1,17,44,11,1,17,3,16,3,11,1,17,1,11,1,16,1,11,3,9,1,13,1,7,1,6,1,7,1,24,2,8,1,9,3,24,1,8,2,9,1,13,3,24,1,7,1,24,1,8,2,24,1,8,2,13,3,8,1,24,1,9,1,8,2,9,2,13,1,9,1,8,2,13,2,30,1,6,1,30,2,6,1,28,1,7,1,13,1,6,1,7,1,13,1,7,1,13,1,7,1,8,1,28,15,29,1,27,1,30,1,25,1,30,1,6,2,29,1,7,1,29,1,8,1,13,1,29,1,7,2,29,1,13,2,6,1,7,1,13,1,24,1,13,1,6,2,13,3,7,1,13,1,6,1,29,1,6,1,7,1,6,3,30,1,29,1,8,1,24,1,8,1,9,1,24,1,8,1,24,1,6,1,9,1,8,1,9,7,10,1,16,1,11,2,9,3,8,1,11,2,16,1,9,1,17,1,16,1,17,1,16,1,17,4,16,4,9,2,11,1,9,1,24,1,8,1,24,1,29,1,8,3,13,1,6,1,7,1,13,1,8,2,13,1,7,1,24,1,13,2,24,1,8,1,24,1,8,1,7,1,6,1,29,1,7,1,6,1,7,1,6,1,29,1,6,1,30,1,29,1,6,4,29,1,26,1,29,1,26,1,29,1,30,1,25,1,29,1,25,4,7,1,30,1,6,1,28,1,30,1,29,1,27,3,30,1,29,1,7,1,6,1,7,3,8,1,24,2,13,1,9,1,13,1,8,1,13,1,9,1,11,1,9,1,12,2,9,1,17,2,11,2,17,1,9,1,13,1,29,1,7,1,13,1,6,1,7,1,6,1,29,2,6,3,28,1,6,1,29,1,30,1,6,1,29,1,6,1,29,1,7,1,6,1,30,1,29,1,30,1,29,2,6,1,29,1,6,3,13,1,6,4,13,1,6,3,8,1,6,1,7,1,6,1,13,1,7,2,8,2,7,2,29,1,8,1,13,3,7,1,6,1,7,1,6,1,7,1,13,1,8,1,24,1,8,3,24,2,10,1,9,1,12,1,17,1,11,1,12,2,17,4,12,1,17,9,12,1,17,18,12,1,17,1,11,1,17,1,11,1,17,3,11,2,10,1,9,2,10,1,24,1,13,1,7,1,24,1,7,1,6,1,7,1,6,1,8,1,6,1,8,1,29,1,6,1,25,1,29,1,25,1,29,1,26,1,29,2,30,1,6,1,29,1,30,1,8,1,7,1,6,1,30,1,24,1,29,1,6,1,13,1,24,2,8,2,13,1,8,2,7,1,13,1,24,1,8,1,24,1,11,1,8,1,9,2,12,1,9,1,12,1,9,1,12,1,10,2,17,1,11,1,17,1,12,1,16,1,11,3,16,1,17,1,16,3,17,1,16,2,17,1,16,1,17,1,9,1,8,1,9,3,13,1,10,1,13,1,9,2,10,1,9,1,12,2,9,1,11,1,9,1,13,1,8,1,9,2,8,1,13,1,9,1,12,1,11,2,10,1,11,6,9,1,11,1,12,1,11,1,12,3,11,2,17,1,12,1,11,2,17,2,11,1,12,1,17,2,11,1,17,1,11,1,17,2,11,1,17,3,11,1,12,1,17,6,12,1,17,2,12,2,24,1,10,2,24,1,9,1,8,1,13,1,9,1,24,1,12,1,24,1,9,1,24,2,8,1,12,1,17,1,12,3,9,1,12,1,10,1,24,1,17,1,10,1,12,3,10,1,12,1,10,1,12,1,10,1,9,1,10,1,12,1,10,2,9,1,8,1,24,1,13,1,24,1,6,1,7,2,13,2,6,1,13,1,8,1,7,1,29,1,30,1,7,1,6,1,28,5,30,1,33,1,5,53,13,2,9,1,13,1,8,2,10,2,24,1,9,1,8,2,13,1,8,2,13,1,30,1,13,1,7,1,13,1,6,1,30,1,6,1,7,1,13,1,28,1,6,2,30,1,28,1,6,1,30,1,13,1,30,1,28,11,30,1,29,1,10,1,17,2,11,1,17,1,12,1,17,2,12,1,17,14,11,1,17,29,12,1,17,2,12,1,17,2,11,1,17,1,12,1,11,2,9,1,12,1,17,1,12,1,17,5,10,1,12,1,11,1,12,1,17,1,10,1,12,1,9,1,12,2,10,1,9,1,8,1,13,1,8,3,9,4,24,1,13,2,8,1,6,3,13,3,6,1,28,1,13,1,5,15,28,3,30,1,28,5,7,1,12,1,17,3,16,1,24,1,11,1,8,2,13,1,24,1,8,1,6,1,13,2,8,1,9,2,10,1,17,1,9,1,28,5,8,1,17,1,8,1,28,15,}, {28,3,29,1,28,3,30,1,28,3,30,3,28,1,30,2,6,1,7,1,8,1,24,1,8,1,12,1,24,1,17,1,10,1,13,3,7,1,8,1,13,1,8,1,17,2,16,1,17,5,16,1,11,1,9,1,13,1,16,2,10,1,13,2,8,1,9,1,13,1,9,1,17,1,16,1,17,1,9,3,13,3,8,1,16,1,12,1,16,1,17,1,10,1,11,1,9,2,12,1,13,1,28,9,30,1,28,19,6,1,13,1,6,1,8,3,28,1,30,1,28,4,30,1,7,1,12,1,9,1,15,1,12,1,6,2,29,1,28,3,30,2,6,1,8,1,9,3,16,1,13,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,7,33,1,5,1250,28,1,13,1,28,11,6,1,28,1,30,2,28,4,6,3,29,1,13,5,30,1,6,2,28,1,6,1,29,1,30,1,8,1,13,2,8,2,13,2,7,1,6,2,13,4,30,1,28,1,13,1,30,2,13,3,6,1,8,1,13,2,11,1,9,1,13,1,7,1,13,2,8,1,9,3,16,1,17,1,9,1,11,2,9,1,13,2,9,1,17,1,10,1,11,1,9,2,8,2,9,2,17,48,11,1,16,1,17,1,16,1,11,1,16,1,17,1,11,1,9,2,13,1,8,2,7,1,13,1,7,2,13,1,8,1,13,1,24,2,8,5,24,1,8,2,24,1,13,1,8,1,9,1,13,1,8,3,24,1,7,1,24,1,13,1,8,2,10,1,24,1,10,1,8,1,24,1,8,1,13,1,6,2,8,2,6,1,7,1,29,1,6,3,8,1,30,1,7,1,13,1,24,1,8,1,28,16,27,3,29,1,27,1,6,4,13,1,8,1,13,1,8,1,6,1,13,1,7,1,8,1,7,1,13,4,8,1,7,1,6,1,7,1,8,1,6,1,7,2,6,1,13,1,6,3,29,1,7,1,24,2,9,1,24,1,13,1,8,3,9,3,11,3,9,1,16,1,9,2,11,1,9,1,10,1,11,1,9,1,10,1,16,2,11,3,16,1,17,1,16,6,17,3,9,3,11,1,13,1,9,1,13,2,24,1,13,5,8,2,7,1,13,1,9,1,6,1,13,1,6,1,13,1,8,2,13,1,8,1,6,1,7,1,13,1,6,4,25,1,29,1,25,2,27,1,6,3,29,1,6,1,30,1,6,2,29,2,26,1,29,1,26,1,6,1,30,1,25,1,6,1,25,2,6,1,25,1,29,1,26,1,27,2,29,3,6,1,13,2,6,1,13,1,24,1,13,1,8,1,13,1,24,1,10,1,9,1,10,1,9,1,10,1,24,1,9,2,12,1,13,1,9,1,6,1,30,1,6,1,29,1,6,1,29,1,7,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,29,2,30,1,6,2,26,1,30,1,6,1,30,1,29,3,30,1,8,1,29,1,6,3,7,1,8,1,6,5,7,4,6,1,7,4,8,3,6,1,7,1,13,1,8,2,13,1,7,1,13,2,7,1,6,1,8,1,6,2,30,1,13,1,6,3,13,1,8,1,13,1,9,2,17,1,11,1,17,1,10,1,17,1,11,1,17,2,11,1,17,6,11,1,17,4,12,1,17,2,11,1,17,5,12,1,17,3,12,1,17,4,16,4,11,4,10,1,9,1,11,1,9,1,8,1,13,2,8,2,13,1,6,2,29,1,7,2,6,1,30,1,26,1,28,1,29,1,30,2,26,1,28,1,27,1,29,2,6,2,8,1,13,1,7,1,29,1,13,2,6,1,30,1,7,1,6,1,13,2,24,1,6,1,8,1,24,1,8,1,24,1,11,1,8,1,24,1,8,1,12,1,10,1,9,1,12,1,9,1,11,2,10,1,11,1,12,1,13,1,17,1,9,1,17,1,9,1,13,1,9,1,11,1,12,1,16,3,17,1,11,1,17,2,16,1,17,2,12,1,11,1,9,2,13,1,9,1,13,1,9,2,11,1,10,1,17,1,11,1,9,4,8,1,13,1,9,3,8,1,9,3,11,2,9,1,10,1,11,1,10,2,9,1,10,1,17,1,12,2,11,1,17,1,10,1,11,1,17,1,11,3,12,2,11,1,17,1,9,1,12,1,10,1,17,1,12,2,17,4,9,1,12,3,17,4,10,1,17,4,12,2,10,1,24,1,8,1,10,2,24,1,8,1,7,1,8,1,13,1,24,1,12,1,9,1,12,1,9,2,24,1,17,1,12,2,17,2,8,1,17,1,10,2,24,1,8,1,17,2,10,1,12,2,24,1,12,2,24,2,9,1,24,1,10,1,24,1,9,1,8,1,13,1,7,1,8,1,13,1,8,3,6,3,29,1,30,1,13,1,28,6,13,1,33,1,5,49,6,2,8,2,13,1,10,2,9,1,10,1,11,1,9,1,8,3,13,1,30,1,6,1,29,1,13,1,6,1,7,2,13,1,28,1,13,2,28,1,30,1,6,1,28,3,30,1,28,12,30,1,28,2,30,1,11,1,17,1,10,1,17,1,12,1,17,1,12,1,11,1,17,1,12,1,17,14,12,1,17,3,24,1,17,2,12,1,17,4,11,1,17,23,11,1,17,1,12,1,11,1,12,1,17,1,12,1,17,1,12,1,17,2,12,2,17,1,12,2,10,1,12,4,10,1,9,1,10,1,12,1,13,1,8,1,24,1,13,2,9,1,13,1,9,1,10,1,17,1,13,1,8,1,13,2,7,1,30,1,29,1,6,1,13,1,30,1,6,1,13,1,5,15,28,8,30,1,6,1,17,5,8,2,24,1,8,1,24,1,8,1,13,1,6,1,7,1,29,1,8,1,9,2,16,1,17,1,8,1,30,1,28,4,9,1,17,1,6,1,28,15,}, {28,1,30,1,29,1,28,1,29,1,28,10,30,1,29,2,7,1,13,1,15,1,8,1,12,1,17,1,14,2,8,1,13,2,8,1,13,1,24,1,11,1,17,3,12,1,16,1,11,1,17,3,10,1,9,1,8,1,17,1,9,3,13,1,8,1,6,1,28,1,9,1,16,1,17,2,11,1,9,1,8,2,13,1,6,1,8,1,9,1,17,4,10,2,9,2,13,1,6,1,28,27,6,1,29,1,13,1,6,2,24,1,6,1,30,2,28,4,30,1,7,1,9,1,15,1,17,1,10,1,13,1,6,1,28,2,30,1,28,2,6,2,13,1,9,1,11,1,12,1,17,1,13,1,28,1,30,2,28,2,13,1,30,1,28,3,30,2,28,3,33,1,5,1249,13,2,28,1,30,1,28,11,7,1,30,1,28,4,30,1,6,1,13,1,29,1,6,2,7,1,6,1,7,1,13,1,7,1,8,1,29,1,6,1,30,1,7,1,6,2,30,1,28,1,7,1,8,1,9,1,13,1,6,1,13,1,6,1,28,1,13,1,30,2,13,1,30,1,13,1,7,1,30,3,13,2,8,1,13,3,9,1,13,1,11,1,7,1,10,1,13,1,9,2,16,2,17,2,16,1,9,2,11,2,17,1,11,1,9,1,11,1,13,1,8,2,11,2,17,39,12,1,17,4,11,1,17,2,16,1,17,1,16,5,11,2,9,1,13,2,9,1,24,1,6,1,8,1,7,2,13,1,7,1,13,1,8,2,7,1,24,1,8,2,7,1,13,1,7,1,8,2,24,2,8,1,13,1,24,1,13,1,24,1,8,1,24,1,10,1,8,1,9,2,24,1,9,1,13,1,9,1,24,1,10,1,8,1,13,1,8,1,7,1,29,1,28,1,8,1,6,1,7,2,29,1,7,1,13,2,8,1,13,1,8,2,28,14,30,1,27,3,25,1,27,1,6,3,7,1,6,1,7,1,8,1,7,2,6,1,13,1,6,1,13,3,6,2,30,1,13,1,7,1,13,1,7,1,6,1,13,1,8,1,6,1,13,1,6,2,24,1,29,1,8,1,10,1,9,1,10,1,24,1,9,1,13,1,8,1,10,1,9,2,10,1,11,1,17,1,9,1,17,1,11,1,9,1,11,1,12,1,10,1,16,1,11,3,9,1,11,1,16,1,11,1,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,1,11,2,9,4,8,1,13,2,7,1,13,1,7,1,8,1,13,1,7,1,8,1,7,1,13,1,8,2,13,2,24,1,29,1,8,1,13,3,6,1,7,1,13,1,6,1,7,1,6,1,7,1,30,1,7,1,29,1,6,1,27,1,25,1,30,1,29,2,25,1,30,1,6,1,29,1,6,1,29,1,6,1,29,2,25,2,30,1,26,3,27,1,29,1,26,1,27,4,6,1,29,1,6,1,7,3,8,4,24,1,10,1,13,1,8,2,9,1,24,1,11,1,10,1,8,1,6,1,29,1,6,2,30,1,6,1,30,1,6,1,29,1,27,1,6,1,29,1,6,2,29,2,6,1,29,1,30,1,29,3,6,1,29,1,27,2,29,5,27,1,30,1,27,1,29,1,25,1,6,1,29,1,7,1,28,1,6,1,29,1,7,1,29,1,13,1,6,2,7,1,25,1,8,1,24,1,25,1,26,1,8,3,13,1,8,1,24,1,8,2,7,1,13,1,8,2,9,1,8,1,13,1,7,2,29,1,6,1,25,1,6,1,8,1,6,1,8,1,6,1,7,1,9,1,12,1,10,1,12,1,17,1,12,1,11,1,17,18,11,1,12,1,17,4,12,1,17,8,16,1,17,1,16,1,17,2,11,1,17,1,16,1,11,1,10,1,8,1,13,2,7,2,6,3,7,1,8,1,29,1,26,1,6,1,29,1,27,1,29,2,28,3,6,1,30,1,27,1,26,1,28,1,29,1,7,1,13,1,6,2,13,2,6,1,29,1,6,2,28,1,13,1,8,3,9,1,24,2,13,2,10,1,24,1,10,1,9,1,24,1,12,1,9,1,11,1,9,1,12,1,9,1,12,2,9,1,17,1,11,1,12,1,11,1,9,1,11,1,10,1,12,1,17,2,16,1,17,4,10,2,16,1,11,1,17,1,9,1,11,1,8,1,10,2,13,1,9,1,10,1,11,1,17,2,16,1,11,1,10,1,13,2,9,2,11,1,9,1,10,1,8,1,10,1,17,1,11,1,17,2,12,1,17,1,11,3,12,1,11,1,12,1,10,1,12,1,17,4,11,1,17,2,12,2,9,1,17,1,11,1,17,1,12,1,10,1,11,1,12,4,17,2,11,1,10,1,12,1,17,8,12,1,17,2,8,1,10,1,8,1,24,2,9,1,13,1,8,1,10,3,12,1,10,1,17,1,9,1,12,1,24,1,12,1,17,1,10,1,17,1,10,1,12,1,9,1,12,2,8,1,12,3,17,1,10,1,17,1,12,1,24,1,12,2,24,1,11,1,8,1,11,1,24,2,13,6,6,1,13,2,29,1,7,1,28,1,6,1,13,1,30,1,28,6,5,48,6,2,13,3,8,1,13,2,9,3,24,1,6,1,8,1,7,1,30,1,13,2,7,1,6,2,30,1,6,1,30,1,7,1,6,2,13,1,28,2,30,1,7,1,30,3,28,1,29,1,28,12,7,1,11,1,17,6,12,1,17,2,12,1,10,1,17,18,11,1,17,14,12,1,17,15,12,2,17,3,12,1,17,2,12,1,17,4,12,3,17,1,12,5,9,1,10,1,24,1,9,1,8,1,13,2,9,1,8,1,9,1,30,1,7,1,13,4,6,1,28,1,30,2,6,1,28,1,30,1,13,1,5,15,28,9,13,1,17,6,9,3,13,1,8,1,13,4,9,1,8,2,17,2,13,1,29,1,28,3,30,1,13,1,17,1,7,1,29,1,28,14,}, {28,2,30,2,13,1,28,2,29,1,28,3,30,1,28,1,30,2,29,2,6,1,7,1,8,1,10,1,15,1,9,1,12,1,14,1,17,1,9,1,13,2,8,1,24,1,13,1,9,1,17,2,16,1,10,1,17,5,9,2,8,1,12,2,9,1,8,1,10,1,13,1,7,1,13,1,8,1,12,1,16,1,17,1,9,1,12,1,24,1,6,1,7,1,13,1,7,1,8,1,17,4,9,2,24,2,8,1,30,1,28,27,30,1,6,2,7,1,8,2,24,1,30,1,28,4,29,1,28,1,24,2,12,1,24,2,8,1,29,1,7,1,28,1,29,1,28,2,6,1,29,1,24,1,13,2,9,1,17,1,8,1,28,5,30,1,28,8,30,1,5,1249,9,1,6,1,30,1,28,1,30,1,28,13,30,1,28,2,6,1,30,1,13,1,7,1,6,2,29,1,6,1,30,1,6,1,13,4,6,1,13,1,6,2,13,1,30,1,6,1,7,1,9,1,8,1,10,1,9,3,8,1,13,2,30,1,13,1,7,1,30,1,13,1,6,1,13,1,7,1,13,4,9,1,13,2,11,1,10,1,8,2,11,2,13,1,17,1,16,1,17,4,16,2,17,1,10,1,9,1,10,1,9,1,11,1,10,1,12,1,17,41,11,1,17,1,12,1,11,1,9,2,11,2,17,2,9,1,16,1,11,2,16,1,9,1,11,1,10,1,13,2,24,1,7,1,29,1,7,1,13,1,8,1,28,1,7,3,6,1,7,1,8,1,10,1,13,1,24,1,7,1,13,1,7,1,8,1,13,1,8,5,24,1,8,1,24,1,8,2,13,1,9,2,8,1,9,1,8,1,10,1,9,1,24,1,13,1,8,1,7,1,13,1,6,2,7,1,29,1,6,3,8,1,7,1,13,1,8,1,13,1,8,1,28,17,27,1,25,1,30,1,6,1,8,1,6,2,7,1,6,1,7,1,13,1,7,1,13,1,7,1,13,1,6,1,8,1,6,1,7,2,6,1,13,2,29,1,7,1,24,1,13,2,8,2,13,2,6,1,7,1,24,1,9,1,11,2,9,1,24,1,9,1,10,1,9,2,17,1,10,1,11,1,17,1,11,2,12,1,11,2,9,1,11,1,10,1,11,1,16,2,11,1,16,1,17,1,16,4,17,2,16,6,11,1,10,1,9,2,10,1,8,1,9,1,8,1,13,2,8,1,13,3,8,1,7,1,8,2,13,1,8,1,13,1,7,1,13,1,24,1,8,1,13,1,7,1,8,2,7,1,6,1,7,1,30,1,6,1,30,2,6,1,27,2,30,1,6,1,30,1,6,1,30,1,25,1,6,1,7,1,6,2,7,1,25,1,29,1,6,1,29,1,25,1,6,2,25,2,27,2,29,1,27,2,29,2,27,1,29,1,6,1,13,1,6,1,8,1,7,1,9,1,8,2,24,2,9,1,24,1,12,1,10,1,8,2,13,1,30,1,29,1,30,1,28,1,29,1,30,1,29,1,6,1,30,1,27,2,29,1,27,1,29,3,6,1,28,1,29,1,6,2,30,1,6,1,29,1,30,1,27,1,30,2,29,1,26,1,29,3,30,1,27,1,6,1,29,5,25,1,6,1,25,1,6,1,7,1,6,1,25,1,8,3,24,3,8,1,24,2,8,3,24,2,8,1,24,2,8,1,24,2,8,2,24,1,30,1,13,1,6,1,25,1,7,1,6,1,29,1,6,1,7,1,13,2,8,1,10,2,12,1,11,1,12,2,17,9,11,1,17,4,12,1,17,4,12,1,11,1,12,1,17,2,12,1,17,5,9,1,17,1,16,1,17,1,16,1,17,2,11,4,9,1,8,1,7,1,24,1,6,1,8,1,6,1,29,1,6,1,29,1,6,1,29,1,6,1,27,1,29,1,27,2,28,1,25,1,26,1,27,1,29,1,6,1,26,1,25,2,6,3,24,1,6,3,7,1,6,2,13,1,6,2,24,2,7,1,24,1,13,1,8,1,24,2,8,1,9,2,8,1,9,1,11,1,8,1,17,1,9,1,10,1,11,1,10,1,8,1,9,1,10,1,12,1,16,1,11,1,16,1,11,2,16,1,17,1,16,3,17,3,11,1,17,1,12,1,11,1,9,1,10,1,8,1,9,2,10,1,13,1,9,1,10,1,16,1,11,3,9,5,10,1,8,1,9,1,10,1,17,5,11,1,17,1,11,1,12,2,11,1,10,1,9,1,10,1,17,2,12,1,17,3,11,1,17,2,12,2,11,1,10,1,17,1,12,2,17,1,12,3,17,1,10,1,12,2,11,3,12,1,17,7,12,1,17,2,10,1,9,1,12,1,24,2,12,1,9,1,8,1,12,1,10,1,24,1,12,2,10,1,9,1,12,1,10,1,12,1,10,1,9,1,12,1,10,1,12,1,10,1,12,3,10,1,24,1,12,1,10,1,17,1,10,1,9,1,12,3,24,1,10,2,12,1,7,1,24,1,8,1,7,1,6,1,7,1,13,1,24,1,7,1,8,1,6,1,8,1,6,1,30,1,29,1,6,1,30,2,28,5,5,45,33,1,28,1,30,1,6,1,13,1,9,1,8,2,24,1,9,2,10,1,24,1,13,1,24,1,8,1,7,2,30,1,13,1,6,3,7,2,30,2,6,1,29,1,30,3,6,1,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,4,30,1,8,1,17,5,12,1,17,21,12,1,17,3,12,1,17,25,12,1,17,1,12,2,11,1,17,1,10,1,12,1,17,8,11,1,12,1,17,2,12,1,9,1,10,1,12,1,10,2,9,1,12,1,7,1,8,1,7,1,13,1,8,2,9,1,8,1,13,1,30,1,28,1,7,1,30,1,28,1,30,1,6,1,7,1,30,1,6,1,28,1,13,1,5,14,13,1,28,9,7,1,17,4,12,2,9,2,8,1,13,1,8,2,7,2,13,1,24,2,8,1,16,1,17,1,8,1,28,5,9,1,11,1,6,1,28,2,30,1,28,12,}, {28,4,30,1,28,9,29,1,28,1,30,1,6,2,12,2,17,1,9,1,17,3,13,4,8,1,13,1,8,1,16,1,17,1,8,1,9,1,17,1,11,1,17,2,16,1,11,1,8,1,13,1,10,1,9,1,8,1,6,1,9,1,13,1,7,2,29,1,16,1,17,2,16,1,9,2,8,2,13,2,11,1,9,1,11,1,17,1,10,1,12,1,9,1,11,2,10,1,6,1,28,28,29,2,6,2,24,1,8,1,29,1,30,1,28,5,8,1,10,1,8,1,9,2,24,1,7,1,28,1,30,2,6,2,13,1,7,1,13,1,8,2,12,1,17,1,8,1,28,7,30,1,28,3,6,1,28,2,30,1,5,1249,6,2,28,18,30,1,6,1,13,1,8,1,30,1,13,1,28,1,30,1,6,1,30,1,6,2,13,1,6,1,9,1,13,1,6,1,9,1,13,4,6,1,8,1,13,1,9,1,11,1,8,1,9,2,8,1,16,1,11,1,9,1,13,2,9,2,13,1,9,1,8,1,6,1,13,1,6,2,11,1,13,1,8,1,13,1,9,3,16,1,17,8,16,2,11,2,9,1,17,1,11,1,17,38,11,1,17,6,12,1,17,1,11,1,17,3,11,1,17,1,9,1,16,2,11,1,16,1,11,1,16,1,9,1,7,1,13,2,6,4,30,2,6,3,7,1,6,1,13,1,29,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,2,8,1,13,1,24,1,8,1,13,1,8,2,9,1,8,1,10,1,11,1,8,1,11,1,10,1,9,1,10,1,9,1,24,1,7,3,6,1,7,3,29,1,6,1,8,1,13,1,7,1,8,1,13,1,8,1,28,16,29,1,27,1,25,1,27,1,7,1,6,3,29,1,25,1,8,1,24,1,6,2,13,1,6,3,13,1,6,2,29,1,8,1,7,2,6,1,24,1,8,2,13,2,7,1,8,2,24,2,10,2,11,1,9,3,11,1,17,1,9,2,11,1,10,1,9,1,12,1,16,1,17,1,10,1,9,1,11,1,17,1,12,1,16,1,11,2,17,1,16,1,17,1,16,1,17,3,16,2,17,2,11,2,10,1,9,1,16,1,12,1,9,1,10,1,9,1,8,1,24,1,8,1,13,1,8,1,13,1,7,1,8,1,13,1,8,2,7,1,13,1,8,2,29,1,13,1,7,1,6,1,7,2,6,1,13,1,7,1,6,1,29,1,7,1,13,1,7,1,6,1,25,1,6,1,29,3,30,1,6,3,29,2,25,2,6,1,7,1,6,1,25,1,6,1,30,1,29,1,27,1,26,2,25,1,27,1,25,2,29,1,25,1,27,2,30,1,6,1,29,1,6,1,7,1,13,1,8,1,10,1,8,1,24,1,10,1,9,1,8,1,9,1,8,2,7,1,28,1,30,2,28,1,30,4,29,1,30,1,27,1,30,1,29,2,27,1,30,1,27,1,29,1,30,1,27,1,30,1,28,1,30,1,6,2,30,1,29,1,26,1,27,1,29,2,30,1,29,1,30,1,6,1,29,2,6,1,30,1,6,2,30,1,27,1,6,1,25,2,29,2,25,1,24,1,25,3,26,2,8,2,25,1,24,1,8,1,24,1,8,2,24,1,13,2,8,1,24,3,8,1,24,1,8,1,25,1,8,5,24,1,7,1,13,1,6,1,29,1,6,1,7,1,10,1,8,1,9,1,8,4,17,3,12,1,17,5,11,1,17,6,11,1,17,1,11,1,17,1,12,1,17,5,11,1,17,3,16,2,17,1,16,1,17,1,16,1,11,1,12,1,9,1,8,1,7,2,13,1,6,1,30,1,7,1,30,1,6,1,30,1,25,1,6,2,27,1,26,1,29,2,27,1,29,1,27,5,6,3,26,1,8,1,26,1,6,1,7,1,6,1,29,1,13,1,6,2,8,1,6,1,24,1,8,1,6,1,24,3,8,1,13,1,8,1,24,1,13,1,8,1,9,1,10,2,9,2,11,1,9,3,10,1,11,1,9,1,11,2,16,3,12,1,17,1,11,1,17,1,16,1,10,1,11,1,12,1,10,1,11,1,9,1,11,1,12,1,10,2,9,1,10,1,9,3,11,1,16,1,11,1,16,1,12,1,10,1,9,4,10,1,13,1,9,1,11,1,17,5,11,1,17,2,11,2,9,1,12,1,11,1,12,1,17,1,12,1,17,2,12,1,11,1,12,1,17,3,12,1,17,1,12,1,17,2,12,1,11,3,10,1,17,1,12,1,17,1,11,1,9,1,12,1,24,1,11,1,17,1,12,1,17,6,12,1,17,1,12,1,9,1,12,1,24,1,8,2,9,1,7,1,24,1,9,2,24,1,12,1,24,1,10,1,12,1,24,1,10,1,17,1,12,1,10,1,12,2,11,2,10,2,12,1,17,1,12,7,17,1,12,2,9,1,12,1,8,1,9,1,13,1,24,1,8,2,13,1,8,1,13,1,8,2,7,1,29,1,8,1,6,1,30,1,7,1,28,7,33,1,5,42,6,1,28,1,6,1,7,1,6,1,24,1,13,1,8,1,9,1,8,1,9,1,8,2,24,1,13,1,24,1,6,1,30,1,13,2,8,1,13,1,7,2,6,1,30,1,7,1,30,1,6,2,30,1,28,3,30,1,6,2,28,1,30,1,28,3,30,2,28,4,30,1,28,1,30,1,28,2,29,1,9,1,17,6,12,1,17,2,11,1,17,17,12,2,17,2,12,1,11,1,17,1,10,1,17,13,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,1,11,1,12,1,10,1,12,1,10,1,11,1,12,2,17,2,12,2,17,2,12,2,17,1,10,1,12,1,9,1,12,1,10,1,12,1,17,1,10,2,8,1,11,1,7,1,10,1,6,1,8,2,13,1,6,2,30,1,29,1,6,1,30,1,6,1,30,1,28,1,30,2,28,1,13,1,5,14,13,1,28,9,29,1,16,1,17,3,11,1,9,3,8,1,13,1,9,1,8,2,6,1,8,2,13,1,15,1,17,2,8,1,28,4,30,1,8,1,11,1,6,1,30,1,28,14,}, {28,12,30,1,28,1,30,1,6,1,29,2,7,1,8,1,9,1,24,1,10,1,17,3,13,5,7,1,8,1,17,2,12,1,9,1,17,1,12,2,17,1,12,1,10,1,7,1,24,1,12,1,9,1,13,1,10,1,8,1,29,1,13,2,6,1,10,1,17,1,12,1,16,1,9,1,8,1,13,2,6,1,24,1,10,2,17,1,16,1,17,1,8,2,11,2,16,1,30,3,28,25,30,1,28,1,29,1,6,1,8,3,29,1,28,2,30,1,28,1,6,1,28,1,8,1,15,1,9,3,13,1,6,2,7,1,6,1,28,1,6,1,29,1,13,2,10,2,15,1,17,1,13,1,28,6,30,1,28,4,13,1,28,2,13,1,5,1248,6,2,30,1,28,13,30,1,28,3,30,1,6,1,30,1,28,3,13,1,28,1,6,2,30,1,6,1,13,1,30,2,28,1,6,1,13,6,7,1,13,1,6,1,11,1,9,1,8,1,16,1,13,1,16,1,11,1,13,1,11,1,7,1,9,4,11,1,13,3,6,1,30,1,13,3,11,1,9,1,11,1,8,1,9,1,11,1,16,1,17,4,11,1,9,1,13,4,9,1,11,2,17,38,12,1,17,5,11,1,17,1,10,1,17,2,11,3,17,1,11,2,9,1,16,2,11,3,13,1,8,1,13,1,6,1,7,1,6,1,29,2,30,1,6,1,29,1,7,1,6,1,7,1,6,1,13,1,6,1,8,1,13,1,6,1,8,2,13,2,7,1,8,2,7,1,8,1,13,2,9,1,7,1,8,1,9,1,8,1,9,2,10,1,9,2,24,2,9,1,10,1,13,1,9,1,13,2,7,2,6,1,29,1,6,2,7,1,8,2,24,1,28,13,30,1,29,2,30,1,26,1,27,1,26,1,6,1,29,1,6,2,29,1,13,1,7,1,8,1,7,1,6,1,7,1,13,1,6,3,7,1,6,4,8,2,24,1,8,4,13,2,8,1,13,1,9,1,12,1,10,1,11,1,12,2,16,1,9,1,11,1,16,1,9,1,11,1,17,1,10,1,17,1,12,1,11,4,16,1,11,1,16,3,17,2,16,1,17,2,16,1,17,2,16,3,9,2,11,1,16,1,12,1,10,1,9,1,8,2,7,1,8,2,13,1,8,1,7,1,13,1,7,1,8,1,13,1,7,1,6,1,13,1,6,2,13,2,7,2,6,1,7,1,8,1,7,1,6,1,8,1,7,1,6,1,7,1,6,1,7,1,6,1,29,2,6,1,30,1,28,1,7,1,29,1,6,1,29,1,30,1,6,1,29,1,6,2,7,1,29,1,6,1,25,1,6,1,7,1,29,1,6,1,29,1,30,2,26,2,29,2,6,2,7,2,13,1,7,1,13,1,24,2,8,1,9,1,10,1,9,1,13,2,6,1,30,1,28,1,6,1,28,1,30,1,28,1,27,1,30,1,27,1,30,1,27,1,30,1,27,2,29,2,25,1,27,1,29,2,30,1,29,1,27,1,30,1,29,3,27,2,29,1,27,1,29,1,30,3,27,1,6,1,29,1,6,1,29,1,6,2,29,1,6,2,26,2,29,1,6,1,7,1,24,1,8,1,29,1,25,1,26,3,25,1,30,1,8,1,6,1,7,1,24,4,8,2,24,1,9,1,24,1,10,1,12,1,8,1,24,1,13,1,24,1,8,4,12,2,24,1,13,1,8,2,7,1,8,2,24,1,8,4,9,1,13,1,12,2,9,1,17,1,11,1,17,7,12,1,17,3,11,1,17,1,11,1,17,7,11,1,17,1,16,2,17,1,11,2,9,1,17,1,11,1,9,1,10,1,6,1,13,1,6,2,7,1,29,1,28,1,29,1,6,1,25,2,28,1,29,2,27,1,28,2,29,1,27,1,25,1,27,2,29,1,26,1,8,1,6,3,26,1,28,1,6,3,7,2,8,1,7,1,24,1,7,1,6,1,7,1,8,1,24,1,13,1,8,1,6,1,8,1,13,1,8,1,9,1,8,2,24,1,9,2,24,3,12,1,24,1,10,1,12,1,17,1,11,3,10,1,11,2,9,1,11,1,9,1,10,1,17,1,9,2,17,1,11,1,9,2,11,1,17,1,11,1,9,1,8,1,9,1,11,1,9,1,11,1,16,1,17,2,12,1,10,1,8,1,11,1,9,1,17,1,9,1,11,2,17,5,11,1,17,1,12,2,9,1,12,1,11,2,17,5,12,1,17,3,11,1,17,1,11,2,17,2,12,1,10,1,11,1,17,1,12,1,10,1,17,1,12,1,11,1,12,2,11,1,17,1,24,1,11,1,17,1,12,1,17,10,9,1,12,1,10,2,24,2,13,1,10,1,24,1,10,1,24,1,12,1,9,1,10,1,24,1,9,1,24,1,9,1,12,1,24,1,12,1,10,2,12,1,10,1,24,1,10,1,12,3,9,1,12,1,17,2,10,1,12,2,9,1,24,1,13,2,24,1,8,2,24,1,6,1,13,2,7,1,29,1,24,1,13,1,6,2,13,1,30,1,13,1,28,6,5,41,28,2,6,1,8,1,9,2,13,1,8,2,11,1,9,1,11,1,10,1,9,1,13,3,6,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,29,1,13,1,6,1,30,1,7,1,29,1,28,2,30,1,29,1,28,2,29,1,6,1,30,2,28,3,30,1,28,9,6,1,7,1,10,1,17,6,12,1,17,1,12,1,17,10,12,1,17,8,10,1,11,1,17,1,12,2,17,9,12,1,17,11,12,1,10,1,12,4,10,2,12,1,10,1,17,5,12,1,17,1,12,1,17,1,10,1,12,1,10,1,12,2,9,1,10,2,8,3,9,2,8,3,13,2,28,1,6,1,28,2,30,2,6,1,28,1,30,1,28,3,33,1,5,14,6,1,28,9,13,1,17,5,9,1,13,1,10,1,8,1,13,4,8,1,24,2,9,2,17,2,8,1,28,4,6,1,9,2,13,1,28,1,30,1,28,13,}, {28,1,6,1,28,2,30,1,28,7,30,1,28,1,30,1,28,2,6,1,8,1,9,1,24,1,8,1,24,1,12,1,17,2,13,1,8,1,13,1,6,1,7,1,6,1,13,1,17,2,12,1,9,1,10,1,16,1,10,1,17,1,16,1,9,1,24,1,7,1,12,1,15,1,13,1,9,1,13,1,6,1,13,1,7,1,8,1,9,1,17,1,12,1,11,1,8,1,13,1,8,1,9,1,24,2,10,1,17,3,11,1,9,1,10,1,8,2,13,1,6,1,28,29,29,1,6,1,8,1,12,1,8,1,6,1,30,1,28,3,30,2,6,1,8,1,9,1,11,1,9,1,13,2,6,3,28,1,6,2,30,1,9,1,8,1,12,1,9,1,14,1,9,1,30,1,28,13,6,1,5,1246,33,1,30,1,7,1,29,1,28,13,6,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,2,30,3,6,2,13,1,7,1,6,1,13,3,6,1,13,1,6,1,13,2,6,1,13,2,6,2,11,1,13,1,11,1,9,1,13,1,9,5,10,1,9,2,11,2,10,1,8,1,9,2,13,4,9,1,11,2,16,2,17,5,13,6,8,1,9,1,11,2,17,2,16,1,17,40,12,1,17,2,11,1,17,3,16,1,17,1,16,3,11,2,9,1,10,1,9,1,12,1,9,1,8,1,7,1,6,1,29,5,28,1,29,2,6,1,7,1,29,1,6,1,13,1,6,2,7,1,13,3,24,1,13,1,8,3,24,1,13,1,24,2,8,1,13,1,9,2,8,1,24,1,8,1,9,1,11,1,8,2,24,2,8,1,24,1,13,1,7,1,29,3,6,2,7,1,24,1,13,1,24,1,25,1,28,12,30,1,28,3,30,1,27,1,8,1,27,1,6,1,29,1,25,1,7,1,6,5,7,1,6,1,29,1,6,2,7,3,6,1,7,2,6,1,13,1,8,1,13,1,8,3,13,1,24,1,13,1,9,1,11,1,10,2,11,1,10,1,17,1,12,1,17,1,12,1,16,1,12,1,11,2,10,1,9,1,12,1,9,2,10,1,9,1,11,1,10,1,17,6,16,1,17,5,16,1,9,2,10,1,9,2,8,1,11,1,9,3,8,1,13,1,8,1,13,2,8,1,13,2,6,1,7,2,13,1,7,1,13,1,24,1,6,1,7,1,13,2,7,2,6,1,29,1,13,1,30,1,13,1,6,2,8,1,6,4,29,1,6,1,7,2,6,1,30,1,7,1,29,1,6,3,13,1,6,1,29,1,13,1,7,1,29,1,6,3,30,1,6,2,27,2,6,1,29,2,6,2,7,1,13,1,8,2,24,2,8,1,10,1,6,1,7,1,6,1,29,1,28,2,30,2,29,1,30,1,28,3,29,1,27,3,30,2,6,1,26,1,29,1,27,1,29,1,28,1,27,1,30,1,28,1,29,1,30,1,29,1,27,1,30,1,27,1,30,1,27,1,8,1,29,2,26,1,6,1,7,1,6,1,29,1,6,3,7,1,6,1,29,1,25,1,29,2,25,1,8,1,6,1,13,1,6,1,25,3,26,1,25,3,8,2,10,1,24,1,10,1,24,1,10,1,24,1,13,1,24,1,8,1,24,1,10,1,24,3,8,1,24,1,8,1,6,2,26,1,25,1,26,1,8,2,24,1,13,4,24,1,8,1,24,1,8,1,24,2,9,1,11,1,8,1,12,2,17,1,11,1,17,4,11,1,17,2,12,1,17,2,12,2,17,2,12,1,17,1,11,2,16,1,11,2,17,1,16,1,17,2,16,2,11,2,8,2,13,1,7,1,6,1,13,1,29,3,30,1,6,1,26,2,27,1,29,6,27,1,29,1,27,1,29,3,26,2,29,1,26,1,30,1,6,2,26,1,30,1,6,1,28,1,7,1,29,1,7,1,8,1,13,2,8,1,24,1,8,5,9,1,8,2,24,1,9,1,24,1,13,1,9,1,10,1,9,1,12,1,17,2,12,2,17,1,11,2,12,1,9,2,10,1,9,2,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,8,1,9,2,11,1,12,1,16,1,17,1,11,2,12,1,10,1,17,1,11,1,17,2,11,1,17,8,12,1,17,2,11,1,17,2,10,1,11,1,17,2,11,2,17,4,12,1,11,1,17,1,12,1,11,2,12,1,11,1,9,1,12,1,17,1,10,1,11,1,17,1,12,1,10,1,17,1,9,1,12,2,17,2,12,1,17,9,10,1,8,1,10,1,24,2,12,1,24,1,9,1,24,1,10,2,9,1,24,1,10,3,24,2,10,1,12,1,8,1,12,2,9,1,10,1,9,1,10,1,12,5,11,1,12,1,17,1,10,1,11,1,10,1,8,1,10,1,9,1,13,1,9,1,13,1,24,1,7,1,8,1,13,3,7,1,8,1,7,2,29,1,30,2,28,6,5,39,13,1,28,1,6,1,13,1,9,1,13,1,9,1,24,1,10,1,9,1,10,2,12,1,8,1,13,2,8,1,7,1,13,1,8,1,7,1,13,1,7,1,13,2,28,2,6,1,30,2,7,1,30,1,29,1,30,1,28,1,30,1,6,1,30,1,28,6,7,1,28,3,6,1,28,3,30,1,28,2,30,1,28,1,7,1,11,1,17,3,12,1,17,2,12,1,17,1,11,1,12,1,11,1,17,17,11,1,24,1,12,1,17,1,12,1,17,20,11,1,17,1,12,1,17,1,12,1,11,1,9,1,12,1,17,1,12,2,17,2,12,1,17,5,10,1,12,1,10,2,12,1,10,1,12,1,10,1,24,1,10,1,24,1,9,1,10,1,8,1,24,1,9,1,13,2,30,1,13,1,29,1,6,2,30,2,28,2,30,2,28,1,5,15,6,1,28,9,30,1,17,4,16,1,17,1,11,1,9,1,8,1,6,1,13,1,24,1,13,2,8,3,15,1,17,2,13,1,28,3,29,1,8,1,9,1,12,1,13,1,28,1,6,1,28,13,}, {28,2,30,1,28,1,30,1,28,7,6,1,28,1,29,2,28,1,6,2,7,1,8,1,13,1,24,1,10,1,16,1,17,1,8,1,13,1,6,1,7,1,6,1,13,2,17,2,12,2,10,1,12,1,9,1,12,1,16,1,9,2,6,1,9,1,12,1,13,1,7,2,6,1,7,2,24,1,9,1,16,2,9,1,8,2,13,4,12,2,17,3,24,1,9,1,12,3,13,1,28,19,30,1,28,9,6,1,7,1,24,2,8,1,30,2,28,4,30,1,13,1,9,1,24,1,9,1,24,1,6,2,30,1,6,1,30,1,28,2,29,1,13,1,24,1,15,1,12,1,14,1,11,2,28,3,30,1,28,7,13,1,28,2,6,1,5,1246,13,2,29,1,28,13,29,1,6,3,28,1,13,1,6,1,28,2,30,1,28,1,6,1,28,1,30,2,13,1,28,1,13,1,30,1,6,3,30,1,13,1,30,1,13,2,7,1,13,1,6,1,30,2,13,4,9,2,13,1,9,1,13,1,9,1,13,2,9,1,11,1,9,2,13,2,9,1,13,1,9,1,13,5,9,1,11,1,16,4,13,1,9,1,6,1,13,2,9,2,8,1,11,1,10,1,9,1,11,1,17,45,11,1,17,3,11,1,17,3,16,1,10,1,11,1,9,1,11,2,9,1,8,1,13,1,6,2,7,1,6,1,29,3,27,1,6,1,29,1,6,1,30,1,6,3,8,2,13,1,8,1,13,1,6,1,8,1,24,3,8,1,24,1,13,1,8,1,7,1,8,1,24,1,8,2,9,1,10,1,9,2,24,1,9,2,8,1,24,2,8,1,13,3,29,3,6,2,8,1,13,1,24,1,25,1,7,1,28,12,30,1,28,1,27,3,29,1,30,1,6,2,28,1,6,1,30,2,6,1,7,1,29,1,7,1,8,1,13,1,29,1,6,1,7,1,6,1,29,1,8,1,6,1,7,1,13,2,6,1,13,1,24,1,13,1,24,1,13,2,10,1,12,1,11,2,12,1,17,1,11,2,17,1,11,2,17,4,12,1,9,1,11,3,9,1,13,1,11,2,17,1,16,2,11,1,17,5,11,1,17,1,11,1,17,1,9,1,11,1,9,1,11,1,8,1,11,1,10,1,9,1,8,8,6,1,8,1,13,1,8,1,13,1,8,1,7,1,6,1,13,2,6,1,7,1,6,1,7,3,6,1,8,1,6,2,7,1,6,2,29,1,6,1,29,1,26,2,29,2,6,1,7,1,29,3,7,1,6,1,29,1,7,4,8,1,7,2,30,1,6,1,30,1,6,1,28,1,7,1,6,1,29,1,7,2,8,2,7,1,13,2,8,2,24,1,8,1,13,1,7,1,29,2,28,1,29,1,30,1,28,1,29,2,30,1,27,1,30,2,29,1,30,2,27,1,29,2,26,1,6,1,27,1,6,1,29,1,27,1,29,1,30,2,29,1,27,2,29,1,30,1,27,1,25,1,29,1,30,1,29,1,6,2,30,1,29,2,7,1,30,1,6,1,29,1,7,1,6,1,7,1,6,1,13,1,7,1,8,2,7,2,13,1,8,1,24,1,7,1,8,7,9,1,10,1,9,2,10,1,8,1,9,1,24,1,9,1,10,1,24,2,8,1,7,1,6,1,30,2,29,1,27,2,30,1,26,1,25,2,24,1,7,1,13,1,7,1,13,1,9,1,8,4,10,2,12,1,17,2,12,1,17,2,11,1,17,3,12,1,17,1,11,2,10,1,11,1,10,1,11,1,17,2,11,1,17,2,11,1,16,1,11,2,16,1,11,3,16,1,11,2,24,1,13,1,29,1,7,1,29,1,7,1,6,1,29,1,27,1,26,1,25,1,27,1,29,2,27,2,29,1,28,1,29,1,27,5,26,1,28,1,26,1,27,1,29,1,8,1,26,1,25,1,29,1,8,1,6,1,28,1,29,1,30,1,6,1,13,1,8,1,13,1,24,1,8,1,13,1,8,1,7,1,13,1,8,2,24,1,9,2,24,1,9,1,24,2,9,1,24,1,9,2,11,1,12,1,17,1,11,2,10,1,9,1,11,2,9,3,11,1,9,3,11,1,9,1,11,1,9,3,12,1,10,2,9,2,16,1,11,2,17,3,16,1,17,1,12,1,17,1,11,1,17,3,12,1,17,3,11,1,17,2,11,1,17,1,11,1,17,2,11,3,17,9,11,1,17,1,11,2,9,1,10,1,11,1,12,1,10,1,9,1,11,1,12,1,11,2,10,1,12,1,11,2,10,1,17,1,10,1,9,1,12,1,17,11,12,3,10,2,8,1,24,2,9,1,8,1,13,1,24,1,10,1,24,1,9,1,10,1,12,1,10,2,17,1,10,1,9,1,24,1,12,1,24,1,8,1,9,1,12,2,17,1,11,1,10,2,12,1,17,1,12,1,17,1,9,1,8,1,24,2,9,2,24,3,13,1,6,1,29,1,6,1,13,1,7,2,6,1,7,1,6,3,28,5,5,37,13,1,28,2,13,2,9,1,13,1,8,1,12,1,9,1,12,1,9,1,11,1,24,1,13,2,7,2,8,1,13,1,6,1,13,1,6,1,13,1,7,2,6,1,13,1,28,1,7,1,30,1,28,2,6,1,28,1,30,2,6,1,30,2,28,1,6,1,28,3,30,1,28,1,30,2,28,2,30,1,29,1,6,1,30,2,13,1,30,2,13,1,12,1,17,6,12,1,10,1,11,2,12,1,17,1,12,1,17,16,12,1,17,1,12,1,17,1,12,1,17,5,12,1,17,13,12,3,9,1,12,1,17,1,9,1,12,1,17,1,12,1,17,9,10,1,12,1,24,2,9,1,11,1,10,3,8,1,24,1,9,1,10,1,9,1,10,1,13,1,29,1,13,1,6,1,13,1,6,1,30,2,28,1,30,1,28,1,30,2,28,1,5,15,6,1,28,9,6,1,17,1,12,1,17,3,9,3,6,1,13,1,8,2,7,1,9,1,8,1,9,1,24,1,9,1,17,2,6,1,30,1,28,2,7,1,6,1,17,1,16,1,13,1,6,1,29,2,28,12,}, {28,8,29,1,30,1,28,4,30,2,28,1,6,1,29,1,13,2,7,1,9,1,10,1,24,1,16,1,8,1,13,3,6,2,13,1,10,1,17,1,9,1,12,1,8,1,9,2,17,1,9,2,8,1,7,1,13,1,24,1,13,1,6,2,13,2,9,1,13,1,9,1,16,1,12,1,9,1,8,4,24,1,13,1,8,1,17,5,10,1,12,1,9,2,7,1,28,6,30,1,28,21,30,1,7,1,6,1,24,1,8,2,6,1,30,1,28,3,30,1,28,1,8,2,7,1,24,1,8,2,30,3,6,1,28,2,30,1,28,1,7,1,9,3,14,1,8,1,28,4,30,1,28,6,13,1,28,3,5,1245,13,1,28,14,29,1,30,1,13,2,6,1,30,1,13,1,30,1,28,2,30,3,6,1,29,1,13,2,9,1,13,1,10,1,13,2,7,1,13,1,6,1,13,2,6,1,30,2,6,2,30,1,6,1,28,1,8,1,13,1,30,1,13,1,30,1,7,1,13,2,9,1,10,1,13,2,9,1,13,2,9,1,13,1,9,1,11,2,13,1,9,3,13,1,11,1,16,4,13,6,9,1,10,1,9,1,16,1,11,1,17,48,11,1,17,5,16,2,10,1,16,1,11,1,9,1,10,1,9,1,13,2,7,1,6,2,29,1,30,1,28,1,29,2,6,1,27,1,29,2,7,1,6,1,29,1,30,1,7,2,13,1,8,1,24,1,6,1,24,2,8,2,24,1,8,1,9,1,8,2,24,1,13,1,8,1,24,2,8,3,9,1,24,1,9,3,8,2,13,1,30,1,29,1,30,2,29,1,7,1,8,1,7,1,8,1,13,1,7,1,28,11,30,1,28,1,30,3,29,1,30,1,27,1,30,1,28,1,29,2,8,1,29,1,7,1,29,1,13,1,28,1,7,1,29,1,6,2,7,1,29,2,13,2,6,1,13,3,8,2,13,1,9,1,8,1,9,1,10,1,17,1,11,2,17,1,16,1,17,2,11,1,17,1,12,1,11,1,12,1,9,4,13,1,6,1,7,2,13,1,10,1,9,1,16,1,17,2,11,1,17,1,11,1,17,2,11,1,16,1,11,1,12,1,10,1,11,1,9,3,11,1,10,1,8,2,9,2,13,1,9,1,8,1,7,1,6,1,7,1,13,1,7,1,8,1,7,2,8,1,13,2,6,1,7,1,6,5,13,1,7,1,6,1,7,1,8,1,29,1,13,1,7,1,25,1,27,1,6,1,26,1,25,1,29,1,6,1,7,1,13,1,29,2,6,2,7,1,6,1,7,1,6,1,8,1,7,1,13,4,29,1,6,2,7,1,6,1,7,1,6,2,13,2,24,2,8,3,24,1,13,1,29,1,30,1,28,1,30,1,28,5,30,2,27,2,30,2,27,1,29,1,27,2,28,1,29,1,26,2,29,1,27,1,28,1,29,2,28,1,30,1,27,1,28,1,29,1,30,1,29,1,26,1,29,2,26,1,29,1,6,1,29,1,6,2,7,1,6,1,29,1,6,2,7,2,29,1,7,1,13,1,29,1,6,1,8,1,24,1,10,2,12,1,24,1,12,1,24,1,8,1,13,1,8,1,13,1,24,2,12,1,24,1,12,1,9,3,8,2,24,1,10,1,24,2,6,1,29,2,6,1,25,1,27,1,30,1,27,1,29,3,25,1,8,1,24,1,9,3,24,1,8,1,9,2,8,1,9,2,12,2,17,2,11,1,17,1,11,1,17,1,11,1,17,1,12,1,17,1,12,1,11,1,9,1,10,1,12,1,8,1,17,3,11,2,17,1,11,1,9,1,11,1,16,1,11,3,12,1,9,2,30,1,13,1,6,1,13,1,8,1,26,1,25,2,27,2,25,1,26,1,29,1,27,1,30,1,29,1,27,2,30,1,27,1,25,1,30,1,27,1,30,1,28,1,26,1,27,2,8,1,26,1,29,1,7,1,6,1,29,1,30,1,29,1,30,1,29,1,7,1,6,1,7,1,13,7,8,3,24,1,8,1,9,1,8,1,9,2,24,1,9,2,11,1,12,1,11,1,12,2,9,1,11,1,10,1,9,1,17,1,9,1,16,1,8,1,12,1,10,1,11,1,9,2,11,1,9,3,16,1,11,2,9,1,12,1,16,2,17,9,16,1,17,12,12,1,17,1,11,2,17,1,11,1,17,1,11,1,17,3,11,1,17,1,12,1,17,2,12,1,17,1,12,2,17,1,12,1,11,2,9,1,12,1,10,1,11,1,17,1,9,1,11,1,17,1,10,1,11,1,12,1,11,1,12,1,11,1,17,1,12,1,17,1,12,1,17,9,12,1,10,1,24,5,10,1,24,1,10,1,8,3,9,1,10,1,8,1,10,1,12,1,17,1,11,1,10,1,12,2,10,1,12,1,10,1,9,1,17,1,9,1,17,1,24,1,10,1,17,1,12,2,9,1,12,1,10,1,24,1,10,1,12,1,10,1,8,2,6,1,13,4,7,1,29,1,6,1,29,2,6,2,28,6,5,35,33,1,28,1,13,1,29,1,10,1,13,1,10,1,13,1,8,1,24,1,9,1,10,1,8,1,9,1,7,1,29,1,13,2,7,2,6,4,13,1,6,1,30,1,28,1,6,1,30,1,13,1,30,3,29,1,28,2,30,2,7,1,28,1,30,1,28,3,30,2,28,2,30,3,28,1,30,2,29,1,6,1,28,1,29,1,6,1,30,1,13,1,8,1,17,8,11,1,12,1,9,1,17,3,12,1,17,14,11,2,17,1,12,1,17,1,12,1,17,16,12,1,17,2,9,1,12,1,9,1,17,1,12,1,11,1,9,1,17,6,12,1,17,2,12,1,17,1,12,1,9,2,24,1,9,1,24,1,8,1,24,1,7,1,12,1,24,1,10,3,13,1,7,1,6,2,29,1,13,1,29,1,6,1,28,1,7,1,6,1,28,2,33,1,5,15,6,1,28,9,7,1,17,4,9,1,11,1,12,1,13,1,9,1,7,1,24,1,13,3,6,1,24,1,11,1,10,1,17,2,13,1,28,3,30,1,7,1,17,1,9,1,13,1,7,1,6,1,29,2,28,11,}, {28,6,29,1,28,5,30,1,28,2,6,1,30,1,6,1,30,1,8,1,13,2,10,1,9,1,12,1,17,1,8,1,9,2,13,3,29,1,13,1,17,2,11,1,10,1,8,1,9,3,8,1,13,1,7,1,24,1,8,1,24,1,7,1,6,1,7,1,8,3,9,1,16,1,9,3,7,2,24,1,8,1,13,1,12,1,17,1,12,1,17,1,12,1,8,1,9,1,11,1,17,1,11,1,13,1,28,27,6,1,30,2,6,1,24,2,13,1,30,2,28,5,6,1,13,1,24,1,10,1,24,1,7,2,6,1,29,1,28,1,30,1,28,1,30,1,6,1,30,1,13,3,14,1,13,1,30,1,29,1,28,8,30,1,13,1,28,3,5,1244,30,1,28,10,29,1,28,5,29,1,12,1,29,1,30,2,6,1,28,1,29,1,30,1,13,1,6,1,13,2,7,1,8,1,11,1,13,10,28,1,13,2,6,1,30,3,28,1,6,2,30,3,29,1,7,1,6,1,30,1,29,1,13,3,6,1,30,1,13,1,9,1,13,1,9,2,11,1,10,1,11,5,16,1,9,1,6,1,7,1,13,3,9,1,16,1,11,1,17,56,11,1,17,1,16,1,11,1,9,3,13,1,10,1,11,1,8,1,13,1,7,2,6,1,29,2,6,1,29,1,27,2,29,1,6,2,29,1,28,1,25,1,6,1,13,1,7,1,8,1,13,1,8,2,13,1,8,1,24,2,8,1,7,1,24,1,8,2,13,1,24,2,8,1,24,1,8,1,10,1,9,1,10,1,8,1,24,1,9,1,10,1,8,2,6,1,7,1,28,1,30,2,7,1,6,1,13,4,6,1,29,1,28,7,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,29,1,30,1,26,1,29,1,30,3,29,1,6,1,29,1,6,2,30,1,7,1,13,1,7,1,13,1,7,2,6,1,13,1,6,1,7,1,6,1,7,1,24,3,9,4,17,1,10,1,12,1,16,1,12,1,17,2,11,1,16,1,12,1,11,1,12,1,9,1,13,1,6,1,13,3,8,2,9,1,16,1,11,1,16,2,11,3,17,2,16,2,9,1,10,1,11,1,8,1,11,1,8,1,11,2,9,1,8,1,24,2,8,2,24,1,6,1,13,1,8,2,7,2,8,1,10,1,29,1,8,1,13,1,25,1,29,1,7,1,13,1,6,2,29,1,6,1,7,1,6,4,29,1,25,2,30,1,25,1,26,1,27,1,25,2,29,1,13,1,6,1,13,1,8,1,6,1,7,1,13,1,7,1,24,1,8,1,13,1,8,1,24,2,7,1,6,1,8,3,13,2,24,1,8,1,6,1,9,1,8,1,24,2,8,1,13,1,6,1,29,1,6,1,29,1,30,3,29,1,30,2,29,1,30,1,28,1,29,3,27,2,29,4,25,2,26,1,30,1,27,1,29,1,27,1,29,1,26,1,28,2,25,1,27,1,29,1,30,1,29,1,27,1,28,1,27,1,29,1,26,1,6,1,29,1,6,1,29,1,13,2,6,4,28,1,6,1,24,1,8,1,24,2,12,1,10,1,12,2,10,1,12,1,9,1,10,1,24,4,8,1,24,1,9,1,10,3,9,1,24,1,8,1,24,2,9,1,13,2,7,1,25,1,8,1,25,1,27,1,28,1,29,1,27,1,26,1,28,1,29,1,25,1,24,1,12,1,24,1,12,1,24,1,12,1,24,1,13,1,9,1,10,1,17,1,10,1,17,1,10,2,9,1,17,1,11,1,17,2,12,1,17,2,11,1,9,1,10,1,11,1,12,1,17,1,11,2,17,1,10,1,17,2,11,1,17,1,11,3,17,1,16,1,10,1,12,1,11,1,6,1,7,2,13,1,29,1,8,1,27,1,26,1,29,1,27,1,28,1,30,1,29,1,26,1,30,1,29,2,28,1,30,1,28,1,27,2,30,3,28,1,29,3,6,1,29,1,26,1,6,1,26,2,6,1,8,1,7,2,6,1,28,1,29,1,7,1,8,1,24,1,13,2,10,1,8,1,9,1,8,1,9,2,24,2,10,3,9,1,11,3,17,1,12,1,11,1,12,2,11,2,12,1,10,1,11,1,8,3,16,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,16,1,17,1,16,1,17,2,16,1,17,8,12,1,17,4,12,1,17,7,12,1,17,2,12,1,17,5,11,2,17,9,12,1,10,1,12,1,11,1,12,1,11,1,17,2,11,2,9,1,12,1,11,2,9,1,11,1,12,2,11,1,17,1,11,1,17,11,10,3,8,1,24,3,9,2,8,1,24,1,8,1,10,1,9,1,8,1,12,1,24,1,12,1,24,1,12,1,10,1,12,1,10,1,24,1,12,1,9,1,8,1,17,1,8,1,17,1,10,6,12,1,10,1,8,1,10,1,24,2,8,1,13,1,7,2,6,1,7,1,13,1,7,1,6,3,30,1,6,1,30,1,28,5,5,33,33,1,30,1,28,1,13,1,9,3,24,1,9,1,10,2,9,2,13,1,7,1,8,1,7,2,13,1,29,1,8,1,29,1,7,1,6,1,13,1,6,2,30,1,6,1,28,1,30,1,28,1,30,1,29,1,28,2,29,1,6,1,30,1,28,5,30,1,28,1,30,1,6,1,28,1,30,2,6,1,28,2,6,3,7,1,30,1,6,2,29,1,7,1,13,1,8,1,17,1,12,1,17,6,12,1,17,12,12,1,17,4,12,1,17,1,12,1,17,1,11,1,12,1,17,21,11,1,12,1,11,1,17,1,12,1,17,1,12,1,17,3,12,1,17,2,12,1,17,2,12,1,11,1,12,1,24,1,10,2,13,1,24,2,8,1,24,1,12,1,24,1,8,1,24,1,8,2,13,1,6,1,30,1,28,1,13,1,6,1,28,4,30,1,28,1,5,16,13,1,28,9,13,1,17,3,11,1,17,1,9,1,8,1,7,1,13,1,6,1,13,2,6,2,7,1,13,1,10,1,16,1,17,2,8,1,28,2,29,2,13,1,16,1,9,1,8,1,7,1,13,1,6,1,30,1,28,11,}, {28,13,30,1,28,3,6,1,28,1,24,1,8,3,12,1,17,2,12,1,13,3,30,1,13,1,6,1,24,1,17,2,9,1,8,1,11,1,12,1,9,1,10,1,9,1,13,1,29,1,24,1,9,1,13,1,8,1,13,1,24,2,8,1,6,1,12,1,16,2,9,1,13,1,8,1,13,1,8,1,13,3,16,1,17,2,9,1,11,1,17,1,11,1,17,1,12,1,6,1,28,27,6,1,29,2,6,1,8,1,9,1,7,1,13,1,28,5,30,1,9,1,24,3,10,1,13,2,6,1,28,1,30,3,29,2,6,1,13,1,24,1,8,1,14,2,30,1,29,1,28,1,30,1,28,5,29,1,28,1,6,1,28,3,5,1243,6,1,28,9,30,1,28,3,30,1,28,1,6,1,30,1,13,5,28,1,30,1,6,2,7,1,6,1,7,1,13,1,9,5,13,1,9,1,30,1,13,6,6,1,13,1,6,1,30,1,28,4,30,2,6,2,30,1,6,1,7,1,13,3,8,1,6,1,13,3,9,2,10,2,11,1,9,1,11,1,16,3,17,1,11,1,13,2,7,1,13,1,9,1,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,44,11,1,17,6,11,1,16,2,10,1,9,4,10,1,9,1,8,1,13,1,7,1,6,1,29,1,30,1,7,1,29,2,30,1,29,1,27,1,6,1,30,1,7,2,29,1,7,1,13,1,7,2,8,1,13,1,24,1,7,1,24,1,7,1,8,1,13,1,24,1,8,5,13,1,8,2,13,1,8,1,9,1,12,1,24,1,8,1,10,1,24,2,8,1,29,1,30,3,29,1,6,1,25,1,8,1,7,2,13,1,8,1,30,1,28,8,29,1,28,7,30,1,28,2,30,1,28,1,6,1,30,1,29,3,6,1,29,1,6,2,13,1,7,1,6,2,30,1,7,2,6,2,13,1,6,1,7,1,8,1,13,1,24,2,9,1,10,1,11,2,10,2,12,1,11,2,16,1,11,1,12,1,11,1,9,2,7,1,8,1,9,2,13,3,6,2,13,1,8,2,11,1,9,1,12,1,10,1,11,1,16,1,11,1,16,1,10,1,12,1,13,1,9,1,11,1,10,2,9,5,8,1,7,1,13,1,24,1,29,1,13,2,8,1,13,1,8,1,7,4,6,3,29,1,6,1,7,1,30,2,13,1,29,1,6,2,29,1,6,1,29,1,25,1,6,1,29,1,25,1,27,1,26,1,29,1,6,1,8,1,6,2,8,1,30,1,29,1,7,1,29,1,6,1,8,1,9,1,8,1,6,1,8,1,24,1,8,5,13,2,8,1,24,1,8,1,12,2,24,1,8,2,29,1,6,2,28,1,30,1,26,1,29,1,30,1,28,1,29,1,30,2,27,1,30,2,29,1,27,2,26,1,29,1,30,1,27,1,28,1,27,1,26,1,29,2,30,2,29,2,30,1,6,1,28,1,30,1,28,1,30,2,29,3,6,1,26,1,25,1,7,1,6,1,7,1,6,2,7,1,6,1,8,1,6,2,13,3,8,1,9,1,10,1,11,1,24,2,12,2,10,1,12,1,9,1,24,2,8,1,10,1,8,1,9,1,10,1,12,3,9,1,24,2,9,2,24,4,8,1,24,2,27,1,26,1,27,1,30,1,25,1,26,1,27,1,8,2,10,1,24,1,17,1,11,1,9,1,8,1,9,2,17,1,11,3,17,1,12,2,10,1,11,2,17,1,11,1,17,1,12,3,10,1,9,1,17,1,12,1,11,1,17,1,11,1,17,3,11,2,9,1,11,5,9,1,24,1,13,1,6,4,25,1,26,1,27,1,29,1,27,1,26,1,27,1,29,1,27,1,29,1,27,1,30,1,29,1,30,1,28,2,27,1,28,1,30,1,28,4,30,1,29,2,27,1,6,3,25,1,28,1,29,1,6,1,7,1,6,2,7,1,6,3,8,1,9,1,8,1,24,2,9,1,10,2,9,2,24,1,9,2,8,1,12,1,11,1,12,1,17,1,12,1,16,1,11,2,10,1,9,3,17,1,9,2,10,1,9,1,16,1,11,1,17,1,11,1,10,1,9,1,11,2,17,1,12,1,17,5,16,1,17,1,11,1,17,1,16,3,12,1,16,1,12,1,17,6,11,1,17,5,11,1,17,1,11,2,9,1,12,1,17,1,11,1,17,2,11,1,17,8,11,1,12,1,17,4,12,2,11,1,10,3,11,1,12,1,11,2,12,1,10,1,11,1,12,1,17,12,10,2,24,2,8,2,7,1,24,1,9,1,24,1,9,1,24,1,10,5,9,2,10,1,12,1,24,2,17,1,12,4,11,1,10,1,12,3,10,2,12,2,10,1,12,1,10,1,9,1,8,1,13,3,7,1,13,2,6,3,7,1,28,1,30,2,6,1,28,4,5,33,30,2,9,1,8,2,9,1,8,1,10,1,13,1,8,1,13,1,10,1,8,1,6,2,13,1,7,1,6,1,8,1,29,1,13,1,7,1,8,1,13,2,6,1,28,1,30,1,6,1,7,1,6,1,28,1,29,1,28,1,30,2,29,1,28,2,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,6,2,30,2,7,2,29,1,13,1,29,1,30,1,6,4,10,1,11,1,17,2,12,1,17,22,11,1,17,3,11,1,12,1,11,1,17,1,12,1,10,1,17,15,12,1,17,1,12,2,17,4,12,1,17,1,12,1,17,1,12,1,17,3,11,1,24,1,10,1,8,1,13,1,12,1,24,1,8,2,13,1,8,1,9,2,24,1,9,1,11,1,8,1,13,1,30,1,6,1,28,2,30,1,28,5,30,1,13,1,5,16,13,1,28,9,7,1,17,4,9,3,8,1,7,1,13,1,6,2,8,1,28,1,13,1,8,2,17,3,7,1,28,1,30,1,28,2,8,1,17,1,9,1,8,1,28,1,30,1,29,1,28,12,}, {28,13,30,2,6,1,7,1,30,2,6,1,9,1,8,1,24,1,12,1,17,1,16,1,9,1,8,1,7,1,13,1,6,2,13,1,8,1,17,2,11,1,12,2,15,1,9,1,12,1,9,1,6,1,13,1,8,1,9,1,10,1,9,1,13,2,8,2,13,1,9,2,16,1,11,1,24,1,6,1,8,2,6,1,13,1,8,1,11,1,17,2,12,1,11,1,16,1,11,1,16,2,13,1,30,1,28,22,30,1,28,2,30,1,13,1,6,1,13,1,24,2,10,1,12,1,13,1,6,1,28,5,30,1,24,1,9,2,24,1,13,2,7,1,28,1,30,1,29,1,30,2,28,2,13,1,24,1,12,3,28,1,30,1,28,5,30,1,28,1,30,1,28,1,7,1,28,3,5,1242,28,16,29,1,13,1,8,1,29,1,13,3,28,1,30,3,6,1,13,2,9,5,13,4,9,1,13,4,29,1,13,1,6,1,7,1,6,1,13,1,28,1,30,1,6,1,28,1,6,1,30,1,28,3,13,1,30,1,13,1,7,1,13,2,6,1,13,3,9,1,13,1,11,1,10,1,16,1,11,1,16,2,17,1,16,1,11,1,9,2,13,1,9,2,11,1,16,1,11,2,16,1,11,1,16,1,11,2,16,1,17,51,11,3,17,1,11,1,9,2,10,1,9,1,8,3,13,2,6,1,28,1,6,1,30,1,6,1,29,1,6,2,29,1,30,1,7,1,6,2,7,1,8,1,7,1,24,1,7,1,8,1,24,1,6,1,13,1,8,6,13,1,8,1,13,1,8,2,24,2,8,1,24,1,8,1,24,1,8,1,10,1,24,2,6,1,30,3,27,1,30,1,6,5,7,1,13,1,30,2,28,1,30,1,28,13,30,1,28,1,29,2,6,1,30,2,6,1,30,2,13,1,29,1,6,2,29,2,6,1,7,1,6,1,28,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,8,1,10,1,8,1,9,1,12,2,9,1,10,1,9,3,12,1,11,1,10,1,9,2,13,1,10,1,9,3,8,1,13,4,6,2,8,3,9,1,11,1,9,3,11,1,16,3,9,1,8,1,9,1,10,1,9,3,8,1,9,1,8,1,24,1,7,1,13,1,24,1,8,1,13,1,6,1,13,1,6,1,7,1,25,1,26,1,27,2,26,1,27,1,6,2,29,1,6,2,7,1,6,1,29,2,7,2,6,1,29,1,6,2,29,1,6,3,7,1,8,1,7,1,8,1,30,2,7,2,6,2,13,1,8,1,13,1,8,1,24,3,8,1,10,1,13,1,8,2,24,1,8,1,9,1,10,2,12,1,24,2,7,2,6,1,7,1,29,1,27,2,28,1,29,1,30,2,27,1,29,3,27,3,29,1,30,1,29,1,27,2,29,1,27,1,25,1,29,1,27,1,25,1,27,1,25,1,26,1,29,1,26,1,29,4,30,1,6,1,27,1,30,1,27,1,6,1,27,4,26,1,8,1,13,1,6,1,13,1,8,1,13,1,24,1,8,1,9,1,12,5,10,1,9,2,12,3,11,1,12,1,11,1,24,1,10,1,24,1,9,1,10,1,12,2,24,1,9,1,11,1,24,1,10,1,12,1,10,1,9,1,24,3,8,2,25,2,27,4,25,1,26,1,6,1,12,1,10,1,12,2,9,1,10,1,9,1,24,1,9,2,12,1,11,1,17,1,12,1,11,1,17,2,11,1,12,1,11,1,17,1,12,2,9,2,11,2,17,4,12,1,17,1,11,3,17,1,11,1,17,1,12,1,17,1,12,1,8,1,9,1,30,1,6,1,13,1,7,1,6,2,8,1,6,1,29,1,27,1,29,1,28,1,30,1,29,1,27,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,28,1,30,1,28,2,30,1,28,1,29,1,30,1,29,1,30,1,29,1,27,1,6,2,29,2,7,1,6,2,29,1,7,1,13,2,7,1,8,1,7,1,13,4,8,1,9,4,12,1,8,1,10,2,9,1,12,1,17,1,12,1,11,1,16,1,11,1,12,1,9,1,17,1,9,1,17,1,10,1,17,1,16,1,17,1,12,1,11,2,17,1,11,2,17,1,16,1,17,7,16,1,17,1,11,1,16,2,11,1,16,1,11,2,17,13,11,1,17,5,11,1,17,3,11,1,17,2,11,1,17,7,12,1,17,1,11,1,12,2,17,1,9,1,10,1,8,1,10,1,17,1,11,1,12,1,11,2,17,1,12,1,17,15,12,1,24,1,12,1,24,1,13,1,10,1,8,1,9,1,10,1,24,2,8,3,13,1,10,1,9,4,12,1,9,1,10,1,12,1,9,1,12,1,9,1,12,2,8,1,24,1,17,1,8,1,12,1,10,1,12,1,10,3,8,1,9,1,7,1,13,1,7,1,13,1,6,1,7,1,13,1,7,4,30,1,28,1,30,1,28,4,5,31,13,1,28,1,13,1,9,1,13,1,9,1,7,1,9,3,11,1,10,1,8,2,29,1,6,2,7,1,6,1,7,1,13,1,7,2,6,1,13,1,6,1,29,1,13,1,7,1,6,2,29,1,30,6,28,1,6,1,30,1,28,1,30,5,28,1,30,1,6,1,28,1,30,1,6,1,28,1,6,1,30,1,29,1,6,2,29,1,6,2,30,1,7,1,8,1,13,2,12,1,17,29,12,1,17,1,11,2,17,4,12,1,17,9,12,1,17,2,11,1,17,1,10,1,17,2,12,1,17,3,12,1,17,5,12,1,10,1,8,1,24,1,10,2,8,1,13,2,8,1,13,1,8,1,13,1,24,2,10,1,8,1,13,2,30,1,29,1,30,1,13,1,30,1,28,2,30,1,28,1,30,1,28,1,5,17,28,10,30,1,17,2,16,1,11,1,16,1,9,1,10,1,24,1,6,1,13,3,8,1,13,1,8,1,13,1,8,1,17,2,12,1,30,2,6,1,28,2,8,1,17,1,11,1,6,1,28,1,6,1,29,1,28,12,}, {28,12,30,2,29,2,7,1,28,1,6,1,29,1,7,1,13,1,7,1,12,2,16,1,9,1,13,1,29,1,6,4,9,1,16,1,17,1,8,2,11,1,9,1,8,1,9,1,24,1,13,1,6,2,12,1,16,1,12,1,7,1,9,1,24,1,13,1,24,1,9,1,16,1,17,1,11,1,8,2,6,1,24,1,13,1,7,1,13,1,11,1,16,1,17,1,16,1,17,1,9,1,17,1,9,1,11,1,9,1,6,1,28,24,30,1,28,1,29,1,13,1,12,1,9,1,12,1,10,1,14,1,9,1,30,1,29,1,30,1,28,4,8,1,12,1,9,1,10,1,13,1,7,1,6,1,30,1,29,2,30,1,29,1,7,1,6,1,13,1,24,1,14,1,12,1,9,1,29,1,28,3,30,1,28,3,30,1,28,2,9,1,28,3,33,1,5,1239,9,1,28,15,30,1,6,1,30,1,13,4,8,1,13,1,6,1,28,1,30,1,7,2,13,1,28,1,9,1,11,1,13,2,9,1,13,3,30,2,13,1,28,1,6,2,13,1,30,1,6,2,13,1,30,1,6,1,30,1,28,1,6,4,30,1,6,1,13,7,8,1,13,1,9,2,11,2,9,1,13,1,9,1,10,1,16,2,11,2,13,2,6,1,9,1,11,2,17,1,11,1,9,2,8,1,9,3,16,2,17,42,11,1,17,8,16,1,17,1,16,1,11,1,9,2,11,1,9,1,8,1,24,1,10,1,8,1,7,1,29,1,6,1,29,1,30,1,6,1,29,1,6,2,29,2,6,1,30,1,6,1,7,1,6,1,8,1,6,1,30,1,7,1,13,2,8,2,24,2,8,6,9,1,8,3,24,2,10,1,8,1,9,1,8,1,9,1,24,1,8,1,29,1,28,2,30,2,6,1,7,1,6,1,7,1,8,1,6,1,7,1,29,2,28,15,29,1,28,1,30,1,28,1,29,3,6,1,29,3,8,1,7,1,6,1,29,2,25,1,29,1,6,3,29,1,6,2,7,1,29,1,13,1,6,1,8,2,24,1,13,1,9,2,8,1,9,1,13,1,9,3,8,1,9,2,13,1,24,2,8,1,9,2,8,2,7,1,13,4,24,1,9,1,10,1,9,1,13,1,9,1,11,1,9,1,11,1,17,1,16,1,11,2,9,4,10,1,8,3,13,1,8,1,6,1,13,4,6,1,13,1,7,1,26,1,27,1,30,1,25,1,29,1,27,2,29,1,30,1,25,1,29,1,6,2,29,2,6,2,29,1,30,1,27,1,6,1,29,1,6,1,29,1,6,1,30,1,29,2,6,1,29,1,6,1,8,1,7,1,6,1,13,1,6,2,8,4,9,1,13,1,24,1,8,1,24,1,11,1,12,1,11,1,10,1,11,1,10,1,24,1,8,1,6,1,7,1,6,1,7,1,29,1,30,1,26,1,25,1,30,1,6,1,29,1,30,1,26,1,30,1,27,1,26,1,29,3,25,1,30,1,29,1,30,2,29,1,27,2,29,2,27,1,26,1,27,1,29,1,30,1,6,1,29,1,27,1,30,2,29,1,28,1,29,1,7,1,29,1,6,2,27,1,29,1,27,1,26,2,7,1,6,1,13,1,24,1,13,1,24,1,11,1,9,3,11,1,12,2,11,1,12,2,9,1,12,2,17,1,12,1,11,2,17,1,12,1,10,1,17,1,9,1,10,1,24,1,10,1,24,2,10,1,24,1,9,1,24,3,8,3,24,1,8,1,26,2,27,1,26,1,27,2,29,1,10,1,11,1,8,1,11,1,10,1,11,1,9,4,11,1,17,3,11,2,17,1,11,1,17,4,11,2,9,1,11,1,17,1,12,1,17,2,11,1,17,3,11,4,17,3,9,1,8,2,7,2,6,2,8,1,7,1,25,1,6,1,29,2,28,1,30,1,28,1,29,1,30,3,28,2,29,4,30,1,28,7,29,1,27,1,29,1,30,1,6,3,7,3,6,3,30,1,6,3,8,1,24,1,8,4,12,1,10,1,9,3,24,1,9,1,12,2,10,1,17,1,12,1,11,1,10,1,17,1,12,1,11,2,9,2,10,1,11,1,9,1,11,1,9,3,11,1,10,1,9,1,11,2,17,7,16,2,11,2,9,1,10,1,9,1,11,1,17,1,10,1,16,1,17,1,12,1,17,3,16,1,17,2,11,1,17,5,11,1,17,2,11,1,17,1,11,1,17,8,11,2,12,1,17,3,12,1,11,3,17,1,11,1,17,1,9,2,10,2,11,1,10,1,17,1,10,1,12,1,17,1,12,3,17,8,12,3,24,1,12,1,24,1,8,2,9,1,11,1,9,1,8,1,24,1,7,1,10,1,8,1,10,1,24,1,8,1,9,1,10,1,12,4,10,2,12,1,10,2,12,1,9,2,24,1,12,2,24,1,9,1,10,1,8,1,10,1,24,1,7,1,24,1,13,2,29,1,6,1,7,1,29,1,7,1,29,1,6,1,29,1,7,1,30,2,28,4,33,1,5,29,30,1,13,1,9,2,13,1,9,4,10,1,8,1,24,2,7,5,13,1,6,1,13,2,8,1,13,2,6,2,13,1,28,2,29,1,13,1,6,1,7,1,28,1,6,1,28,7,30,3,28,1,30,2,7,2,28,1,30,1,29,1,6,3,28,1,7,1,6,1,13,1,7,1,8,2,7,1,11,1,10,1,11,1,17,4,12,1,17,2,12,1,17,2,12,1,17,17,12,1,17,4,10,2,8,1,17,4,11,1,17,2,12,1,17,2,11,1,17,2,12,2,17,2,11,1,17,5,12,1,17,3,11,1,17,1,12,1,8,1,24,1,8,1,13,1,10,2,24,1,13,1,6,1,8,1,6,1,13,1,10,1,13,3,6,1,7,1,6,2,28,5,30,2,28,1,13,1,5,17,28,10,6,1,17,2,11,1,16,1,11,1,9,1,8,2,13,3,6,1,13,1,6,1,24,1,9,1,10,1,17,2,10,1,28,2,6,1,28,1,30,1,12,1,17,1,24,1,6,3,28,1,30,1,28,11,}, {28,13,29,1,28,3,29,2,6,1,13,1,24,1,11,1,24,1,16,1,9,2,13,1,30,1,8,1,6,3,9,2,10,1,8,1,9,1,8,1,9,1,24,1,9,3,6,1,24,1,9,1,11,1,10,1,13,1,24,1,8,1,6,1,13,1,8,1,15,1,17,2,12,1,7,1,6,2,7,1,13,2,14,1,16,1,17,1,10,1,17,1,8,1,11,2,16,1,24,1,28,3,30,1,28,24,8,3,9,1,12,1,14,1,8,1,29,1,28,5,30,1,9,1,8,1,9,1,24,1,13,1,8,1,13,1,6,1,29,1,6,1,7,1,6,1,13,2,29,1,7,1,10,1,15,1,12,1,6,1,30,1,28,9,13,2,28,2,5,1239,13,1,28,15,30,2,6,1,30,1,13,5,30,1,6,2,30,1,13,1,8,1,10,1,9,1,11,1,9,1,6,1,13,1,30,2,29,1,13,1,30,1,13,1,30,1,29,1,6,1,30,1,13,2,6,1,30,2,28,1,13,1,6,2,30,2,13,2,6,2,13,2,6,1,13,7,9,4,16,1,9,1,17,1,11,2,9,1,13,1,28,1,9,1,13,1,9,1,17,1,11,2,6,1,9,1,13,2,8,1,13,1,9,2,13,1,11,1,17,31,16,1,17,18,16,1,17,2,11,1,16,1,11,1,9,3,8,1,10,1,13,1,8,1,7,1,6,1,7,2,29,1,7,2,30,1,6,1,8,2,7,1,8,1,6,2,13,1,7,1,24,1,13,1,6,1,13,4,8,3,13,1,8,2,24,1,8,2,9,1,24,2,9,2,8,1,24,1,9,2,13,1,29,1,30,1,28,3,29,1,25,1,29,1,7,3,6,1,13,1,6,1,29,1,28,15,27,1,28,1,29,2,7,1,29,1,6,1,29,1,6,3,29,2,7,1,29,2,6,1,29,3,6,1,7,3,13,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,8,1,13,1,8,1,13,2,8,2,13,1,9,1,8,2,13,1,24,1,13,1,8,1,13,1,8,2,13,1,9,1,8,1,6,1,8,1,13,1,24,1,8,2,9,2,10,2,16,2,9,2,8,1,11,1,9,4,8,1,24,1,8,2,7,1,8,1,7,2,8,1,6,2,7,1,27,1,26,2,29,2,27,2,26,1,27,1,25,1,29,2,6,1,7,1,25,2,6,1,30,1,26,1,27,1,6,1,29,1,6,2,28,1,29,1,6,1,27,1,29,1,6,2,29,2,30,1,29,1,6,3,13,3,8,1,24,4,11,1,9,1,10,1,12,1,10,1,9,1,10,1,13,1,7,1,13,1,7,1,6,2,8,1,29,1,6,1,27,1,29,1,27,2,28,1,6,1,26,1,29,1,27,1,25,1,27,1,29,1,27,1,29,1,27,1,26,1,29,1,27,1,25,1,29,1,30,1,29,1,28,1,27,1,26,1,28,1,30,1,25,1,6,2,30,2,6,2,29,5,26,1,27,1,25,1,26,1,30,1,27,1,25,1,13,1,24,2,10,2,9,1,10,1,12,3,9,1,10,1,9,1,12,1,9,1,17,1,12,1,17,2,11,1,9,1,12,2,10,1,12,1,9,2,12,1,8,1,24,1,9,3,24,2,10,1,24,2,10,1,24,1,8,1,24,1,8,1,25,1,29,1,27,1,26,1,6,1,30,1,13,1,9,1,12,3,17,1,12,1,10,1,9,1,12,1,16,1,12,2,17,1,12,1,9,1,12,1,10,2,17,2,11,2,9,1,10,1,11,3,17,3,11,1,17,1,12,1,17,2,11,1,12,1,17,1,12,1,9,1,24,1,8,1,6,1,8,1,6,2,13,1,8,2,6,1,25,1,26,1,29,2,30,2,28,1,30,2,28,3,29,1,30,2,28,1,30,2,28,2,29,1,28,4,29,1,27,1,29,1,27,1,26,1,29,1,25,1,7,1,25,1,7,1,30,1,6,4,7,1,6,1,8,1,13,1,24,2,8,1,11,1,8,1,9,1,8,1,9,1,8,1,11,1,9,2,17,1,12,3,16,1,12,1,10,1,9,1,17,1,10,1,11,2,13,1,9,1,12,1,10,1,11,3,10,1,11,1,17,8,16,1,11,4,10,1,11,5,16,2,11,1,17,3,16,1,17,2,16,1,17,5,16,1,17,14,12,2,17,2,10,1,17,1,11,1,12,1,17,1,12,1,11,2,9,1,12,1,10,1,11,2,9,1,11,1,12,1,11,1,12,2,17,13,12,2,9,1,12,1,24,3,9,1,13,1,12,1,24,1,8,1,10,1,8,1,24,1,10,2,24,1,10,1,13,1,10,1,11,1,9,1,10,1,12,1,10,1,9,1,10,1,17,1,12,1,9,1,12,1,8,1,12,1,10,1,12,2,10,2,24,1,9,1,13,1,6,1,13,1,29,1,7,1,6,1,7,1,6,1,30,1,7,1,6,1,7,2,30,1,28,4,5,27,13,1,28,1,13,2,8,1,13,1,9,2,13,1,10,3,13,1,8,1,7,4,6,1,13,1,8,1,13,1,8,1,7,1,13,2,7,2,30,1,6,1,13,1,30,1,6,1,30,1,6,1,29,1,30,1,28,1,29,1,30,2,28,3,29,1,6,1,7,1,30,1,6,1,29,1,6,1,29,2,28,1,13,1,30,1,13,2,29,1,7,1,13,2,7,1,13,1,24,1,8,1,13,1,8,1,10,2,8,1,10,2,17,2,12,1,17,25,12,1,17,5,12,1,17,1,12,4,17,1,12,1,17,1,12,1,11,2,17,1,12,1,17,8,12,1,17,3,11,1,17,1,12,1,10,1,12,1,24,1,13,1,6,1,8,1,13,4,6,1,13,1,8,1,9,1,13,1,8,1,30,1,13,1,7,1,30,1,6,1,28,1,6,1,30,3,28,1,13,1,5,18,28,10,9,1,17,2,11,1,16,1,11,1,24,1,8,2,13,1,6,2,13,2,7,1,8,1,9,1,12,1,17,2,11,1,28,3,30,2,8,1,17,1,24,1,28,1,30,1,7,1,6,1,28,12,}, {28,12,29,1,30,2,6,1,28,1,7,1,28,1,7,1,9,1,24,5,9,1,29,1,6,1,29,2,7,1,29,1,9,1,16,1,17,1,8,1,13,1,9,1,8,1,9,2,24,1,9,1,8,2,10,1,12,1,9,1,6,2,8,1,13,2,8,1,16,3,10,1,7,1,8,1,13,1,7,1,13,2,10,1,14,1,17,1,9,1,11,1,9,1,8,1,9,2,8,1,6,1,28,26,30,1,29,2,13,1,12,2,17,1,9,1,7,1,30,1,28,4,29,1,8,1,9,1,24,1,9,1,7,1,6,1,7,1,6,2,30,2,28,1,6,1,8,1,24,2,8,1,17,1,14,1,28,10,29,1,6,1,11,1,28,2,13,1,5,1237,28,1,30,1,28,15,6,1,30,1,7,1,13,2,8,1,9,1,13,2,28,1,13,2,9,1,13,5,8,1,28,1,13,1,6,4,30,2,28,1,6,1,30,4,6,1,7,1,30,2,28,1,13,2,28,4,30,1,28,2,30,1,6,1,7,1,30,1,6,1,13,1,9,3,13,1,17,2,11,2,8,1,9,1,16,2,9,1,6,1,13,1,8,1,16,2,17,1,9,2,13,2,9,2,13,2,10,1,9,1,8,1,11,1,9,1,16,2,17,24,16,1,17,3,16,1,17,21,16,2,11,1,9,4,8,1,24,1,8,1,13,1,7,1,6,1,13,1,6,3,7,1,6,1,30,1,6,3,7,1,13,2,7,1,6,1,24,1,7,1,8,1,13,1,8,1,24,1,8,2,24,1,13,1,8,3,24,1,9,2,8,1,24,1,8,2,24,2,9,1,12,1,7,1,13,1,28,3,29,2,25,1,28,1,7,2,13,1,7,2,8,1,7,1,30,1,28,12,30,1,28,1,6,2,8,1,6,4,7,2,30,1,13,1,7,1,30,1,29,1,25,1,26,1,30,1,6,3,29,1,6,3,7,2,6,1,29,1,8,1,7,1,13,1,6,1,24,1,13,1,24,1,13,1,8,1,13,2,8,1,24,1,9,1,8,1,24,1,8,2,13,1,9,1,24,1,8,1,6,1,7,1,8,1,7,1,24,1,9,1,13,1,8,2,13,1,9,1,10,1,9,1,17,1,11,1,16,1,11,2,9,2,8,1,9,1,8,1,9,1,8,1,7,1,9,1,8,1,7,2,29,1,8,1,6,1,7,2,26,1,27,1,29,1,27,1,30,1,29,1,27,1,30,1,27,3,28,1,27,1,30,1,29,1,25,1,30,1,25,1,28,1,29,2,26,1,28,1,6,1,27,1,6,1,26,1,29,2,6,1,29,2,6,1,25,1,6,1,30,1,6,1,7,1,6,1,7,1,8,2,7,1,9,1,8,1,9,1,8,1,10,1,9,2,24,1,9,2,24,2,13,1,8,1,7,2,25,2,6,1,30,1,27,2,29,2,26,1,30,1,6,2,29,3,27,2,29,1,27,2,25,1,27,1,25,1,26,1,29,1,27,2,30,2,27,1,29,2,6,1,29,1,6,1,29,1,30,2,6,1,30,2,25,1,26,1,29,1,27,1,29,1,27,1,29,1,26,1,25,1,29,1,7,1,8,1,7,1,24,1,8,1,10,1,9,1,12,1,11,2,17,2,10,2,12,1,17,1,12,1,17,1,12,2,10,1,12,2,24,2,8,3,13,1,6,1,13,1,8,1,7,1,8,1,24,1,8,3,24,2,8,1,24,1,8,1,25,1,8,1,6,1,28,1,6,2,9,1,12,1,17,2,12,1,11,1,16,2,12,1,17,2,16,1,17,1,11,3,12,1,17,2,11,3,12,1,11,1,12,1,11,1,17,1,11,1,17,2,11,1,17,6,11,1,10,1,8,3,13,1,6,1,13,1,6,2,7,1,6,1,25,2,6,1,30,2,29,1,28,1,29,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,27,1,28,1,29,1,28,1,30,2,28,4,29,1,6,1,26,1,6,5,7,2,6,3,7,1,6,1,13,2,24,1,8,2,24,1,8,2,13,1,24,1,8,1,9,1,10,2,17,1,9,2,11,3,10,2,17,1,13,1,11,1,9,1,8,1,10,3,11,1,17,1,16,2,11,1,16,1,17,4,11,3,10,1,16,2,9,1,17,1,11,2,16,1,11,1,9,1,11,1,10,1,11,2,17,6,11,1,17,1,11,1,16,2,17,1,16,1,17,3,11,1,17,10,12,1,11,1,17,1,11,1,17,2,11,2,9,2,10,1,12,2,11,1,10,1,9,2,11,1,9,1,10,1,11,1,12,4,17,12,12,2,10,1,24,1,8,1,13,1,24,1,12,1,9,1,10,1,8,1,9,1,24,1,8,2,13,1,24,1,8,1,12,1,8,1,24,1,10,4,12,2,17,1,24,1,12,2,24,1,17,1,10,1,12,1,11,1,12,1,10,1,24,1,10,1,24,1,13,1,8,1,13,1,30,1,13,1,6,1,30,1,29,1,6,1,13,1,28,1,30,1,29,1,6,1,28,3,33,1,5,25,30,1,6,1,30,1,9,2,8,1,9,1,13,1,9,1,11,1,9,1,8,1,13,1,9,1,13,2,7,2,6,1,7,1,6,1,7,1,24,1,7,1,13,1,8,1,6,1,28,1,8,1,29,1,7,2,30,1,6,1,28,1,7,1,30,1,28,5,6,2,30,2,28,1,29,1,6,1,30,2,29,1,30,1,29,2,13,1,7,1,6,1,13,1,6,1,9,1,6,1,8,3,9,1,13,1,24,1,12,1,10,1,17,1,12,3,17,2,9,1,10,1,12,1,24,1,17,5,12,1,17,1,12,1,17,19,12,2,17,2,11,1,12,4,10,1,17,1,11,1,12,3,17,1,12,1,17,5,12,1,17,1,12,2,17,1,10,1,9,1,10,1,8,1,24,1,13,2,8,1,13,2,6,1,13,1,8,4,9,1,8,2,13,1,6,1,13,1,29,1,28,3,30,1,28,1,6,1,30,1,5,19,28,9,30,1,8,1,17,2,11,1,12,1,9,3,8,1,6,1,13,1,7,1,8,1,6,1,7,1,8,1,24,1,12,1,17,2,9,1,28,2,30,1,28,2,9,1,17,1,8,1,28,1,6,1,28,14,}, {28,14,29,2,30,1,29,1,6,1,7,1,6,1,9,1,24,1,9,1,11,1,9,1,7,1,6,1,30,2,28,1,7,1,6,1,8,1,12,1,11,1,9,1,8,3,9,1,11,1,24,1,11,1,7,1,8,1,9,1,16,1,12,1,16,1,8,1,6,1,13,1,8,1,10,1,16,1,12,1,16,1,12,1,9,1,13,1,7,1,8,1,13,1,9,1,12,2,17,1,12,1,11,2,9,1,8,1,11,1,9,1,6,1,29,1,28,1,30,1,28,23,30,1,28,1,7,1,6,1,12,1,15,1,10,1,9,1,13,1,6,1,13,1,6,1,28,1,29,1,30,1,9,1,10,1,8,2,24,1,30,1,6,3,28,1,6,1,29,1,28,1,29,1,8,1,10,1,17,1,14,2,6,1,28,10,8,1,9,1,28,2,13,1,5,1235,9,1,30,1,28,8,30,1,28,7,30,1,6,1,13,1,9,2,8,1,9,2,13,4,11,3,13,1,6,1,13,1,28,1,6,2,30,1,28,2,30,1,28,1,6,1,30,1,6,1,30,4,28,12,30,2,6,1,28,1,13,5,6,1,13,3,11,2,17,1,16,1,17,1,16,3,9,1,13,1,11,2,16,2,8,1,13,3,10,1,13,1,9,1,13,2,9,2,11,2,9,2,11,1,16,1,17,27,16,3,17,19,11,1,17,2,9,1,10,1,13,1,24,2,8,2,13,2,6,1,7,2,29,1,7,3,6,1,13,1,6,2,13,2,6,1,13,1,6,1,8,1,13,2,8,3,13,1,8,2,24,1,8,1,24,1,9,1,24,1,13,1,9,1,10,1,8,1,11,1,24,1,8,2,9,1,24,1,6,1,30,1,28,3,29,2,7,2,8,1,7,1,13,3,7,1,13,1,28,6,30,1,28,2,30,1,29,2,30,1,7,1,8,1,13,2,6,1,7,1,6,2,7,1,29,1,13,1,7,1,13,1,29,1,13,1,29,1,6,3,29,1,6,4,7,1,6,1,7,1,6,1,29,1,13,1,6,1,7,1,29,1,7,1,8,1,24,2,13,1,8,1,13,2,8,1,13,2,7,1,9,1,13,1,8,2,13,1,7,1,6,1,7,1,30,1,7,1,24,1,7,1,13,1,6,1,24,1,11,1,8,1,9,5,16,1,11,1,8,1,11,1,9,4,8,1,9,1,13,1,8,1,13,1,7,1,6,1,7,2,29,1,30,1,29,2,28,2,27,1,28,1,30,1,28,3,29,1,30,1,27,1,29,2,27,1,30,1,29,1,30,2,25,1,28,1,30,1,26,1,30,2,29,2,27,1,29,1,30,1,26,1,6,1,30,1,29,1,6,2,7,1,6,1,7,1,29,1,6,1,7,1,13,1,10,1,13,1,24,2,9,1,24,1,10,2,8,1,24,1,8,1,24,1,8,1,6,1,13,1,6,1,8,1,29,1,6,2,27,1,29,1,6,2,30,1,6,1,25,1,7,1,29,1,25,1,6,1,29,2,6,1,27,1,25,1,27,1,25,1,26,2,6,1,27,2,6,1,27,1,6,1,7,1,30,1,29,1,6,1,30,1,7,1,30,1,6,2,29,1,6,2,27,4,26,1,25,1,30,1,25,2,29,1,8,1,24,1,8,2,10,2,12,1,17,1,12,1,17,1,12,3,10,1,17,3,12,3,10,1,8,1,9,1,24,1,13,1,24,1,13,1,8,1,7,1,6,3,8,1,25,1,8,1,24,1,9,1,24,1,9,1,24,1,8,1,24,1,8,1,6,1,7,1,6,1,7,1,24,2,9,1,17,4,11,1,17,4,11,2,9,1,17,1,10,1,17,4,11,1,17,3,11,1,17,10,11,2,9,2,13,1,9,1,13,1,6,1,30,1,29,1,13,2,8,1,13,1,8,2,6,1,26,1,29,1,30,1,29,2,28,1,30,2,28,4,30,1,29,1,28,2,30,1,27,1,28,1,30,1,28,1,30,1,28,1,30,1,29,2,27,1,26,1,30,1,6,1,25,1,6,2,25,1,6,1,30,1,28,1,6,1,29,2,7,1,6,1,8,1,13,2,8,1,24,1,8,1,11,1,8,1,24,1,10,1,8,2,11,1,9,2,10,2,12,1,17,1,11,1,9,2,11,1,10,1,9,1,13,1,9,1,13,1,9,1,11,5,17,2,11,2,17,1,11,1,16,1,9,1,16,2,11,5,16,1,12,1,11,2,9,1,11,1,16,1,17,1,16,1,17,5,16,1,17,1,11,1,17,16,12,1,11,1,17,1,11,3,17,2,11,1,10,3,9,4,11,1,10,1,9,1,17,1,12,1,11,1,12,1,11,1,12,2,17,3,12,1,17,9,11,1,12,1,8,1,9,1,24,4,11,1,12,1,7,1,24,5,9,1,13,1,24,1,12,4,17,1,12,2,10,1,17,1,11,1,12,2,10,1,12,1,11,2,17,1,12,1,8,1,24,1,13,1,7,1,24,1,13,1,29,1,7,1,6,1,30,1,29,1,30,2,6,2,30,1,28,3,13,1,5,24,13,1,28,1,13,3,9,1,8,1,9,5,11,1,8,1,13,1,8,1,13,1,7,1,13,2,8,2,6,1,13,2,8,1,7,1,13,1,30,1,13,2,6,1,29,1,6,1,13,1,7,1,28,1,30,1,28,1,30,1,29,1,30,1,29,2,28,1,30,1,28,1,29,1,28,1,29,1,30,1,7,1,13,5,6,1,8,1,7,1,8,1,9,1,13,1,24,1,8,1,12,1,24,1,10,2,12,1,10,1,17,1,11,1,12,3,10,1,24,1,9,1,12,5,17,21,12,1,17,3,12,1,17,1,12,2,17,1,12,2,17,4,12,1,10,1,17,5,12,1,17,1,12,2,17,2,24,1,10,1,12,1,10,2,13,1,24,1,13,1,7,1,13,2,6,1,30,1,6,1,7,1,6,1,24,1,7,1,24,1,13,1,8,1,13,1,28,3,30,1,6,1,28,1,6,1,30,1,28,1,5,20,28,9,30,1,8,1,17,3,12,1,9,2,8,1,13,1,7,1,8,1,13,2,6,1,7,2,15,1,17,3,13,1,28,4,6,1,13,1,17,1,24,1,6,1,30,1,29,1,28,13,}, {6,1,28,13,6,1,28,2,30,1,29,1,13,1,8,1,10,1,24,1,8,2,10,1,8,1,30,1,29,1,6,1,28,1,29,1,6,1,13,1,10,1,17,1,30,1,9,1,10,1,8,2,10,1,9,1,10,1,9,1,8,1,11,1,17,1,10,1,9,1,8,2,9,1,29,1,9,1,11,1,17,2,12,1,13,1,7,2,13,1,24,1,8,1,14,1,17,3,11,1,10,1,9,2,16,1,11,1,6,1,30,1,28,22,30,1,28,3,29,2,6,1,24,2,17,1,8,1,13,1,7,1,29,1,6,1,28,1,13,1,28,1,17,1,8,1,10,1,9,1,13,2,6,1,13,1,29,1,28,3,30,1,7,1,8,1,9,1,12,1,17,1,14,1,13,1,28,10,29,1,17,1,29,1,28,1,13,1,5,1233,33,1,6,2,28,8,6,2,28,4,13,1,28,1,13,2,8,2,11,1,9,1,8,1,6,1,13,1,6,1,13,2,30,1,6,1,7,1,13,1,7,1,30,2,6,1,30,3,28,1,13,1,6,3,29,1,6,1,30,1,7,1,6,1,30,1,28,8,30,1,28,2,30,2,29,1,28,1,30,1,7,1,6,3,13,3,9,1,10,1,9,1,16,3,17,2,16,1,11,1,9,3,17,2,9,1,13,3,9,1,13,1,9,1,13,3,10,1,11,2,16,1,11,3,9,1,17,23,16,1,17,1,16,1,17,1,16,2,17,20,11,1,16,1,11,1,9,1,8,1,9,1,8,1,24,2,13,1,8,1,7,3,13,1,6,2,13,1,7,1,13,1,6,2,13,1,7,2,13,1,7,1,29,1,13,1,6,1,8,3,13,1,8,1,13,1,8,1,9,1,8,2,24,2,10,1,9,2,8,1,9,1,24,3,8,2,6,1,28,3,30,1,28,1,7,1,25,1,7,1,6,2,8,1,13,2,7,1,13,1,24,1,28,3,30,3,7,1,30,3,6,1,8,1,13,3,6,2,29,1,6,2,13,1,30,1,6,1,7,3,6,2,29,1,26,1,25,1,27,1,29,1,30,1,6,3,29,1,6,3,24,1,13,1,29,1,13,1,7,1,13,1,6,1,8,1,24,1,8,2,13,2,8,1,13,1,24,1,8,1,13,1,8,2,7,1,13,1,6,1,7,1,13,1,6,1,7,1,6,1,13,1,6,1,24,1,8,2,10,1,9,1,10,2,9,1,11,1,9,1,10,2,9,1,8,1,9,1,8,2,9,1,13,1,9,1,13,1,6,1,28,1,6,1,26,1,29,1,25,1,27,1,30,1,27,1,29,1,28,1,29,1,30,1,28,1,27,1,29,1,27,1,30,2,29,1,26,1,28,1,29,1,30,1,29,1,27,2,30,1,29,1,30,1,29,1,27,1,29,2,28,1,27,2,30,1,29,1,27,2,30,1,29,1,30,2,13,1,24,1,7,1,13,2,8,2,13,1,7,1,24,1,9,1,24,3,13,2,8,1,13,2,7,1,29,2,6,1,7,1,25,1,27,1,6,1,29,4,6,3,26,1,6,1,26,1,6,1,27,1,6,1,30,1,6,1,29,1,25,1,6,1,29,1,25,1,26,1,6,1,27,1,6,2,29,1,25,1,6,1,29,1,30,2,6,1,29,1,30,1,29,1,6,1,29,1,8,2,25,1,24,1,25,1,8,3,25,1,6,1,8,2,24,1,12,1,24,1,10,3,9,1,24,4,8,1,13,1,8,1,10,1,9,1,10,1,24,1,9,1,24,1,9,1,10,1,12,1,9,1,8,3,25,1,26,1,25,2,7,1,24,1,10,4,24,1,12,1,8,1,24,1,8,1,7,1,6,1,24,1,9,1,11,1,17,4,16,1,17,1,11,1,17,2,16,1,11,2,17,1,11,1,17,2,12,1,17,7,11,1,17,5,12,1,17,1,16,1,11,1,17,1,8,4,13,3,7,1,13,1,6,1,8,1,24,1,8,2,25,1,29,1,26,1,27,1,29,1,28,1,29,1,30,1,28,1,30,1,29,1,28,2,30,1,27,1,30,3,29,2,30,1,28,2,30,1,28,1,30,1,28,1,29,1,30,1,6,1,29,1,6,3,29,1,7,1,25,1,29,1,6,6,7,1,13,1,24,1,13,1,8,2,13,1,8,1,24,1,13,1,24,1,9,1,12,1,11,1,12,2,11,1,17,1,9,4,10,1,9,1,16,1,9,2,11,1,9,4,16,1,17,1,11,1,16,2,8,1,11,2,16,1,17,1,11,1,16,1,11,1,9,2,11,1,12,1,9,2,11,1,9,1,10,1,16,1,17,9,11,1,16,1,17,3,16,1,11,1,17,8,12,1,17,1,12,1,11,2,17,1,12,1,17,1,12,1,10,1,11,4,10,1,9,1,11,2,9,4,8,1,17,2,9,1,17,1,11,1,12,1,10,1,12,1,17,10,12,2,11,1,8,1,24,2,12,1,9,1,8,2,12,1,24,2,13,1,24,1,10,2,13,1,12,1,10,1,24,1,10,1,24,1,12,2,10,1,12,3,10,1,12,2,17,1,12,2,17,1,24,1,12,1,9,1,24,1,13,1,9,1,13,1,6,3,29,1,28,1,29,1,28,1,6,1,7,1,28,1,6,1,28,3,5,24,28,2,13,2,8,2,13,1,10,1,8,1,10,1,9,1,13,1,9,3,8,1,7,3,8,1,13,1,8,1,13,1,29,1,13,2,28,1,13,2,30,2,13,1,30,1,7,1,30,1,28,1,6,1,28,2,30,2,6,1,30,3,28,1,29,1,30,1,6,1,28,1,6,1,29,1,6,1,8,1,13,1,8,2,13,1,8,1,10,1,24,2,9,1,12,3,9,1,17,1,12,1,17,1,10,1,17,2,12,2,10,1,24,1,12,1,24,1,12,1,8,1,24,1,12,1,9,1,10,1,17,42,12,2,17,1,12,1,11,1,17,2,10,1,12,1,9,1,10,2,13,3,6,2,30,1,8,2,29,1,7,2,13,1,8,1,13,3,6,1,30,1,28,7,5,20,28,9,29,1,13,1,17,2,16,1,10,1,9,1,13,1,24,1,8,1,13,1,7,1,24,1,13,1,7,1,6,1,8,1,11,1,17,3,8,1,28,2,30,1,29,2,8,1,15,1,9,1,13,1,30,2,28,1,30,1,28,11,}, {28,11,29,1,28,1,29,1,28,1,6,1,28,4,13,1,24,1,8,1,9,1,12,2,6,3,30,1,6,3,13,1,16,1,17,1,13,1,9,1,8,1,9,1,24,1,15,2,8,1,9,1,24,1,10,1,17,1,15,1,9,1,24,1,6,1,13,2,9,1,17,1,12,1,16,1,8,2,13,2,9,1,8,2,17,1,14,1,17,2,16,1,17,1,9,1,16,1,12,2,6,1,29,1,30,1,28,23,30,1,28,1,29,2,7,1,8,1,12,1,10,1,9,1,29,1,30,1,29,2,28,1,6,1,30,1,10,1,24,2,9,1,8,1,6,1,7,2,30,2,28,2,30,1,28,1,7,1,24,2,17,1,14,1,6,1,29,1,28,8,30,1,6,1,11,1,13,2,6,1,5,1232,9,1,13,1,7,1,28,6,30,1,6,1,28,5,29,1,28,1,6,1,8,1,13,3,9,1,29,1,6,3,13,1,30,1,6,1,28,2,30,3,28,1,6,1,30,1,7,1,28,1,6,1,30,3,6,3,30,1,6,1,28,11,30,1,28,3,30,2,28,1,30,1,6,1,28,1,13,1,6,2,7,2,8,1,9,1,13,1,9,1,11,2,16,1,11,1,17,1,16,1,11,1,16,4,17,1,13,4,9,3,13,2,9,1,13,1,10,1,11,1,16,1,17,1,11,1,17,1,16,2,17,23,16,3,11,1,17,1,16,2,17,5,16,1,17,14,12,1,10,1,11,1,24,1,8,2,24,1,8,1,13,1,8,1,24,1,13,1,8,1,6,1,13,1,7,1,13,1,7,3,6,2,7,1,13,1,7,1,29,1,13,2,7,1,13,1,6,1,13,1,8,1,6,1,8,1,10,1,24,3,9,1,8,1,10,1,8,1,12,1,9,1,10,1,9,1,24,1,8,1,13,1,28,5,29,3,7,1,6,2,8,1,7,1,8,1,6,1,7,1,13,1,30,2,29,3,6,1,29,1,7,1,8,2,13,2,8,1,6,1,29,1,6,3,29,1,6,1,13,1,7,1,6,1,8,1,13,1,6,1,29,1,6,1,29,1,6,1,28,1,27,1,30,1,29,2,30,1,25,1,6,1,29,1,7,1,6,1,7,2,6,1,13,1,6,1,8,2,13,1,8,1,6,1,8,3,13,1,6,1,8,2,13,2,29,1,7,1,29,1,13,1,29,1,30,1,8,1,7,1,13,1,6,1,13,1,8,3,10,1,9,1,8,1,9,2,10,1,17,1,8,1,9,1,11,1,9,3,7,1,13,1,6,2,13,2,6,3,25,1,28,2,30,1,29,1,28,1,30,2,28,1,27,1,30,1,29,1,30,1,28,3,27,1,30,2,29,5,27,1,30,1,27,1,29,2,27,1,29,1,30,2,29,1,30,2,6,3,7,1,29,1,28,1,8,1,30,1,7,1,29,1,8,1,13,2,7,1,8,2,24,1,8,1,13,1,9,1,8,1,7,1,8,1,6,1,7,1,8,1,7,1,6,1,29,4,6,1,8,1,29,2,30,1,6,1,29,1,7,1,29,1,25,1,7,1,29,2,25,1,8,1,7,2,6,1,26,1,8,1,6,2,26,1,29,3,6,1,29,1,6,3,7,1,30,1,29,1,26,3,25,1,29,1,24,2,8,1,24,1,8,1,7,1,24,4,9,1,10,1,24,1,12,1,9,1,24,1,13,1,30,1,6,1,8,1,13,1,8,1,6,1,8,3,24,1,8,1,12,1,9,1,10,1,12,3,24,1,13,1,8,1,13,1,8,1,7,2,8,1,13,1,9,2,24,1,11,1,8,1,24,1,10,1,13,1,9,1,8,1,9,2,10,1,17,2,11,1,16,1,17,1,16,1,17,1,16,2,17,2,11,1,17,1,11,3,17,3,11,1,17,7,12,1,11,1,17,1,11,1,17,1,16,1,17,1,11,2,12,1,10,1,8,1,13,3,6,1,29,1,13,1,8,3,24,1,8,1,25,2,28,1,29,1,30,4,28,2,29,1,27,1,29,1,27,1,30,2,28,2,29,1,28,5,30,3,29,1,27,4,30,1,6,1,29,1,30,1,29,1,28,1,29,1,28,1,30,1,6,1,8,1,6,1,8,1,7,1,24,1,8,2,24,1,8,1,13,1,9,1,8,1,24,1,9,2,11,2,12,1,10,1,11,1,12,1,17,1,12,2,11,3,9,1,10,1,11,1,10,1,11,1,9,2,11,1,10,1,11,7,10,1,11,2,9,2,11,1,9,1,11,1,17,1,9,1,11,1,13,1,16,1,11,1,16,1,17,3,16,1,17,1,11,2,16,1,9,1,10,1,11,1,17,3,11,1,17,12,12,1,11,1,17,3,11,3,12,1,10,1,11,2,10,1,17,1,10,1,11,1,12,1,9,1,10,1,12,1,11,1,12,1,11,1,10,3,11,3,10,2,17,6,12,1,17,2,9,1,12,2,24,2,10,1,13,1,8,1,13,1,8,1,13,1,12,1,9,1,10,1,12,2,24,1,9,1,10,1,11,1,10,1,17,1,12,1,17,2,11,1,17,2,10,1,17,1,12,2,11,1,12,1,11,2,10,1,8,1,10,1,13,1,24,1,13,1,29,1,6,1,28,2,6,1,7,1,13,1,29,1,6,1,30,2,28,2,5,22,30,1,6,2,8,1,9,2,8,1,9,3,11,1,9,2,13,1,9,1,13,5,9,1,13,1,6,1,13,1,7,3,13,2,7,1,6,1,28,1,7,1,29,1,28,1,29,1,28,2,6,1,30,1,28,1,29,1,28,2,30,1,28,1,29,2,30,1,6,1,29,2,7,1,8,1,7,1,24,1,13,1,9,1,8,1,13,1,9,1,10,1,9,1,12,3,17,2,10,1,17,3,12,1,17,3,10,1,12,2,17,2,12,2,24,1,13,1,8,1,24,1,12,1,17,41,12,1,17,1,12,2,10,1,12,1,9,2,13,1,10,1,9,1,8,1,24,1,9,1,13,2,8,1,13,1,7,1,13,1,7,1,6,1,8,3,7,1,6,1,28,4,30,1,28,3,33,1,5,20,28,10,8,1,14,1,12,1,16,1,10,1,9,1,13,1,8,2,13,1,6,1,8,1,7,1,6,2,24,1,9,1,16,1,17,2,13,1,30,1,28,1,30,1,28,2,9,1,17,1,8,1,6,1,30,1,28,14,}, {28,13,30,1,28,1,6,1,30,1,28,1,7,2,13,1,8,1,10,1,12,2,17,1,28,1,7,1,28,1,7,1,30,1,28,2,8,1,16,1,17,1,24,1,11,1,12,1,10,2,14,1,24,1,9,1,24,1,8,1,9,1,12,1,11,1,9,1,13,3,6,1,8,1,17,3,9,1,13,1,8,1,24,1,8,1,13,1,8,1,17,1,14,1,17,3,9,1,10,1,16,1,12,2,28,1,30,1,28,1,6,1,28,23,30,1,6,1,29,1,6,1,7,1,24,3,29,1,30,1,6,1,28,3,30,1,11,1,12,1,17,1,24,1,6,3,7,1,30,1,29,1,30,1,6,1,29,1,8,1,24,1,8,1,17,1,11,1,14,1,8,1,28,11,11,1,13,3,5,1231,9,1,6,1,28,6,6,1,28,2,7,1,28,1,30,1,28,1,30,1,28,1,30,1,13,2,9,1,13,1,6,1,9,1,13,1,11,1,13,3,6,2,28,1,7,1,6,1,28,1,6,1,7,1,6,1,28,1,30,1,6,1,28,2,6,2,29,1,30,1,6,1,28,2,13,1,30,1,6,1,28,6,30,1,28,6,6,1,28,1,6,3,28,1,6,1,29,1,13,1,6,1,13,3,9,2,13,1,9,1,11,1,16,2,11,2,16,1,17,2,16,1,13,4,9,1,6,1,9,2,13,5,9,1,16,1,11,1,9,1,16,1,17,23,16,1,17,6,16,1,17,1,16,1,17,19,9,1,16,1,9,1,8,1,9,1,10,1,9,1,10,1,13,1,8,1,13,2,24,1,8,2,7,1,24,1,13,1,8,1,6,1,8,1,13,1,6,2,7,1,6,1,13,1,7,1,8,1,13,1,8,3,7,1,8,1,24,1,8,1,10,1,8,1,10,1,13,1,9,1,24,1,9,2,8,1,24,1,13,1,8,1,7,1,28,4,30,1,6,1,25,1,29,1,30,2,7,1,6,2,7,2,8,2,6,1,28,3,7,1,6,1,8,2,7,1,8,2,13,2,30,1,13,1,6,2,29,1,6,3,8,3,24,1,6,1,29,1,6,1,30,1,28,4,30,1,27,1,29,3,6,1,29,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,29,1,9,1,8,1,13,6,6,1,8,1,7,1,13,1,8,1,13,2,7,1,29,1,30,1,7,1,6,1,7,1,13,1,6,1,8,3,9,5,10,1,9,1,11,1,9,2,8,1,10,1,24,1,29,1,7,1,8,1,24,1,13,1,29,1,6,1,30,2,26,1,29,1,30,1,26,1,28,1,27,1,28,2,29,2,28,1,30,3,29,1,28,3,29,1,28,1,30,1,29,1,30,2,29,2,26,1,27,1,30,2,28,1,29,1,26,1,29,1,28,2,29,1,30,1,29,1,6,1,29,1,7,1,29,1,30,1,7,1,6,1,30,1,8,1,13,1,8,1,13,2,24,1,13,2,8,1,13,1,8,1,7,1,8,1,6,1,7,1,6,2,29,1,6,3,29,1,28,1,7,4,13,1,7,1,13,1,6,3,7,1,13,1,7,1,13,1,6,1,7,1,6,1,29,1,6,1,13,1,30,1,6,1,7,1,30,1,6,5,28,1,29,1,6,1,29,1,7,1,8,1,25,1,24,2,10,1,12,2,24,1,13,2,10,1,8,1,24,2,10,1,24,2,6,1,29,3,6,1,30,2,27,1,26,1,24,1,26,1,8,2,13,1,8,1,9,2,12,3,10,1,24,1,9,1,6,1,13,1,24,1,8,1,24,1,9,1,10,1,9,1,8,1,9,1,8,1,24,1,8,1,24,1,9,2,12,1,11,1,9,1,17,2,16,1,17,1,16,1,17,4,16,3,17,2,16,1,12,1,17,3,12,1,17,1,11,1,17,7,16,1,17,2,16,1,17,2,11,1,9,1,8,1,10,2,13,2,8,1,7,1,6,1,7,1,6,1,7,2,8,1,25,1,6,1,26,1,29,3,30,1,28,1,30,1,28,1,29,1,27,3,28,1,27,1,28,2,30,1,28,2,29,1,30,1,28,1,27,1,30,2,29,3,27,2,25,1,29,1,6,1,25,1,6,2,28,1,29,1,28,1,30,2,7,3,8,1,24,2,8,1,13,1,8,2,9,3,24,1,12,1,24,1,11,2,9,1,12,1,10,1,11,1,16,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,17,1,16,1,9,1,10,1,9,1,17,1,9,1,16,1,11,1,10,1,11,1,10,1,11,2,9,2,11,3,10,1,9,1,10,2,16,1,17,1,16,1,17,1,11,3,17,1,9,1,11,1,9,3,17,1,16,1,17,10,12,1,17,4,11,1,17,3,11,1,17,2,12,2,11,1,12,1,10,1,9,1,12,1,11,1,10,4,9,1,11,1,12,1,11,1,9,1,11,2,12,1,17,2,12,1,17,9,12,2,9,2,8,2,13,1,24,1,13,1,8,1,11,1,13,1,8,1,12,4,8,1,10,1,17,1,10,1,11,1,24,1,17,1,12,1,11,1,17,2,12,1,17,1,12,1,9,1,12,1,17,1,12,1,17,1,12,1,10,2,24,1,13,2,6,1,30,1,6,1,28,1,6,1,13,1,30,1,13,1,30,1,6,1,29,1,28,2,5,22,28,1,6,1,8,1,9,1,13,1,11,1,9,1,10,1,11,1,9,1,10,1,9,2,10,1,13,1,7,1,13,1,6,1,13,1,9,1,13,6,30,1,7,1,6,2,29,1,7,1,28,1,6,1,29,2,28,1,30,1,29,1,28,2,30,1,6,1,28,1,30,3,28,1,6,2,7,1,6,1,9,1,8,2,9,1,24,1,8,4,17,1,10,1,12,1,17,1,10,2,17,2,10,1,12,1,17,4,24,1,12,1,17,2,12,2,17,1,10,1,12,1,24,2,10,2,12,2,17,1,12,1,17,32,12,1,17,2,11,1,12,1,10,1,9,1,10,1,11,1,24,1,10,1,12,1,11,1,12,1,17,1,10,1,9,1,8,1,11,1,24,1,9,1,24,1,7,1,8,1,6,1,30,1,13,1,8,1,13,2,6,2,28,7,13,1,5,21,28,10,11,1,14,1,17,1,16,1,12,1,9,1,24,1,13,1,9,1,7,1,13,3,6,1,7,1,6,1,9,1,17,3,13,1,28,2,30,1,28,1,29,1,11,1,14,1,9,1,29,1,6,1,30,1,28,13,}, {28,7,30,1,28,4,30,1,28,1,29,1,28,1,6,1,28,3,8,1,24,1,10,2,12,1,10,1,24,1,8,1,6,1,30,1,29,1,30,1,28,1,13,1,16,1,11,1,9,1,17,1,16,1,15,1,17,1,14,2,9,1,13,1,6,1,13,1,10,1,13,2,8,2,13,1,9,1,24,1,17,3,9,1,24,1,13,1,9,1,24,1,13,1,10,1,16,1,17,3,9,1,11,2,16,3,13,1,30,1,28,26,6,1,30,1,29,1,13,1,12,1,15,1,9,1,6,1,29,1,28,1,29,1,28,1,30,1,6,1,8,1,24,1,9,1,24,1,13,1,6,1,30,1,6,2,28,1,30,1,28,1,13,1,8,1,9,1,8,1,10,1,17,1,14,1,8,1,28,10,30,1,9,1,16,1,11,1,9,1,33,1,5,1229,30,1,13,1,28,5,30,1,28,3,30,1,28,3,30,1,7,1,13,4,8,1,13,2,6,1,13,1,9,1,6,3,30,2,6,4,30,2,28,4,7,1,6,2,30,1,13,1,6,1,30,2,28,1,30,1,28,11,30,1,28,1,6,1,30,1,29,1,6,2,30,1,13,1,6,1,8,1,6,1,13,3,9,1,13,1,9,2,11,2,10,1,16,1,17,2,9,1,11,1,17,3,10,1,13,1,9,2,13,1,6,1,13,1,11,1,13,1,9,3,11,1,16,1,11,2,10,1,9,1,11,2,17,17,16,2,9,1,13,1,16,1,17,1,16,1,17,2,16,1,17,2,16,1,17,10,16,1,17,5,16,1,17,4,11,1,10,1,8,2,24,1,9,1,24,1,8,1,12,1,13,1,8,1,13,1,8,3,13,1,24,1,7,1,13,1,8,1,7,1,13,1,24,1,13,1,7,1,13,1,8,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,10,1,8,1,12,1,24,1,10,1,9,1,24,1,9,1,8,1,9,1,13,1,9,1,10,1,8,1,7,1,28,4,30,1,29,2,30,1,7,1,30,1,13,1,6,1,7,3,24,1,13,1,6,1,30,1,28,1,13,1,6,1,7,1,8,1,24,2,8,1,11,1,24,1,9,1,24,1,13,2,7,1,13,1,7,1,8,4,7,1,8,1,29,1,6,1,30,2,28,6,29,1,28,1,6,1,29,1,6,2,13,2,30,1,6,1,7,1,13,1,8,1,7,2,8,3,13,1,29,1,13,1,8,5,13,1,30,1,13,2,30,1,7,1,13,1,7,1,6,1,13,1,24,1,8,1,13,1,9,1,8,1,9,1,11,1,9,1,11,3,9,2,13,1,10,1,13,1,7,1,13,2,7,1,13,1,6,3,27,1,28,2,29,1,28,1,30,2,28,6,30,1,28,1,27,1,29,1,30,1,29,3,28,2,29,2,28,1,27,1,28,2,29,2,27,2,30,1,27,3,29,1,6,1,30,2,29,2,6,1,29,2,7,1,6,2,7,1,13,2,8,1,13,1,7,1,24,1,13,1,6,1,13,2,6,1,29,1,7,1,6,2,29,1,6,2,7,1,6,2,8,1,6,1,13,1,30,1,24,1,6,1,29,1,7,1,6,1,7,1,29,1,7,1,6,1,7,2,6,2,7,1,6,2,7,1,29,1,6,1,24,1,29,1,6,1,7,1,6,6,8,1,7,1,8,2,24,2,12,1,10,1,24,1,8,2,24,1,10,1,24,1,10,1,24,1,8,1,25,1,29,1,26,1,29,1,28,1,27,2,26,1,25,4,8,1,25,1,26,1,8,1,24,1,8,1,9,1,12,1,10,1,12,3,24,1,8,2,24,1,10,1,9,5,24,1,13,1,8,2,7,1,24,1,9,2,12,1,17,10,11,2,17,2,11,1,17,3,11,1,12,1,17,4,11,1,17,4,11,2,16,2,11,1,17,2,11,1,10,1,11,1,9,1,24,2,6,2,7,1,6,1,25,1,6,1,8,1,24,1,25,1,8,1,29,1,30,1,27,1,30,1,27,1,28,1,25,1,27,2,26,3,30,1,29,1,28,1,30,1,28,3,30,1,29,1,28,1,27,1,28,1,27,2,29,1,26,1,25,1,27,1,26,1,6,1,29,1,25,1,26,1,6,1,29,1,30,1,6,1,29,2,7,1,28,1,13,1,7,2,8,1,24,1,8,1,13,1,24,2,12,1,24,1,9,1,10,1,9,2,11,1,10,1,11,5,9,1,11,1,17,1,11,1,16,1,11,2,9,1,11,1,12,1,11,1,12,1,9,1,11,8,9,1,11,1,16,1,11,3,9,2,11,1,17,1,16,1,17,2,11,1,9,1,10,1,16,1,11,4,9,3,10,1,17,6,11,1,17,7,10,1,12,1,17,1,12,1,17,2,12,1,11,1,17,1,11,2,17,1,10,1,11,1,12,1,9,1,11,2,10,1,12,1,9,1,10,1,12,1,11,1,12,1,9,1,10,1,17,1,9,1,12,1,11,1,17,10,10,1,17,1,12,2,10,1,24,1,9,1,8,1,24,1,6,1,13,1,10,2,24,2,9,1,24,4,10,2,12,3,17,1,10,1,12,2,17,5,12,1,17,4,12,1,24,1,8,1,29,1,7,2,29,2,7,1,6,4,30,1,28,1,13,1,5,20,6,1,13,1,9,2,13,2,8,1,11,1,9,3,10,1,9,4,13,2,7,1,13,1,8,1,13,3,6,1,30,1,29,1,7,2,6,1,7,1,6,3,30,2,6,1,29,2,30,1,28,1,13,1,30,1,28,1,30,1,6,1,30,2,13,1,6,1,7,1,24,1,7,1,8,1,13,1,8,1,10,1,9,1,8,1,17,1,12,5,17,1,12,1,11,1,17,4,12,1,17,1,12,1,17,2,12,3,17,1,12,1,17,1,12,3,17,1,10,2,17,2,10,1,17,36,10,1,12,1,24,1,9,2,24,1,10,1,17,1,10,1,9,1,10,1,9,1,10,1,9,1,7,1,8,2,10,1,8,1,13,1,9,1,7,1,13,3,9,1,6,1,13,1,6,1,30,1,29,1,28,5,5,21,13,1,28,10,9,1,14,1,17,1,16,1,12,1,9,1,8,2,9,1,13,1,6,1,13,1,6,3,13,2,17,3,6,1,28,2,29,1,30,1,6,1,24,1,17,1,8,1,7,1,6,1,29,1,28,13,}, {28,9,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,29,1,6,1,13,1,8,3,12,2,8,1,6,1,28,1,6,1,28,1,30,1,28,1,13,1,12,1,17,1,9,1,11,1,9,1,10,1,14,2,9,1,8,1,6,2,8,1,9,1,8,1,7,1,13,2,6,1,30,1,24,1,10,1,17,2,14,1,9,1,13,2,8,1,24,1,10,1,12,1,17,3,12,1,16,2,17,2,11,1,7,1,29,1,28,26,30,1,6,2,13,1,8,1,14,1,8,1,13,1,28,5,29,1,9,2,24,1,13,1,7,1,6,1,28,1,6,1,29,1,30,1,6,1,29,1,13,2,8,1,10,1,8,1,17,2,24,1,30,1,28,9,29,1,13,2,9,2,5,1229,30,1,13,1,7,1,28,4,30,1,6,2,28,2,13,1,28,1,30,1,28,1,13,1,6,2,13,2,9,1,13,5,6,1,30,1,6,4,13,1,6,1,13,2,6,2,13,1,6,2,28,1,30,2,7,2,30,2,6,1,28,22,13,1,30,1,13,1,6,2,13,1,8,1,13,2,9,2,13,1,10,1,9,1,17,1,11,2,16,1,17,3,10,1,13,3,9,1,6,1,9,1,10,1,11,1,16,1,17,1,9,1,8,1,13,1,17,2,9,4,11,1,17,15,16,2,11,2,9,3,17,3,16,3,17,19,11,2,17,1,16,2,11,1,8,1,11,1,9,3,8,1,24,2,8,2,9,1,8,3,9,1,6,1,8,2,13,1,7,1,13,1,6,1,13,2,8,4,7,1,24,1,13,1,8,3,10,1,8,1,9,2,8,2,9,1,8,1,11,1,9,1,13,1,6,1,29,1,28,3,29,1,28,1,6,2,29,1,6,2,7,1,13,2,6,1,13,1,7,1,6,1,8,1,30,1,28,1,29,1,6,1,13,1,7,1,9,1,13,1,10,1,9,1,12,2,11,1,12,1,10,1,7,1,8,1,6,1,8,1,24,1,13,1,24,1,13,1,24,1,29,1,30,1,28,6,29,1,28,1,30,1,28,1,25,1,6,2,13,1,6,1,29,1,8,1,13,1,8,3,13,1,8,1,13,1,8,1,13,2,7,1,6,1,8,2,9,1,8,1,6,1,8,3,29,1,7,1,29,1,8,1,13,1,30,1,24,1,8,1,9,3,8,1,12,1,9,1,11,1,10,1,9,5,8,2,13,3,7,1,6,3,28,1,27,1,29,1,30,1,29,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,4,30,1,28,1,30,2,29,1,30,2,28,1,29,1,27,1,29,1,30,1,29,1,28,1,30,1,28,1,29,1,26,1,28,1,29,1,30,1,28,1,30,1,28,1,27,1,7,1,6,1,13,1,6,2,13,1,6,1,13,1,8,1,13,1,6,1,7,1,6,3,13,1,6,2,8,1,6,1,30,2,25,1,29,1,7,1,30,1,6,2,13,3,7,1,6,1,13,1,6,2,7,1,8,1,6,1,29,1,6,1,29,1,8,1,13,1,30,1,6,1,13,1,29,1,7,1,30,1,6,1,24,1,29,1,7,1,6,1,8,1,7,2,6,1,13,1,29,1,13,1,8,1,7,3,24,1,10,1,12,1,24,2,8,1,24,2,8,1,24,2,7,1,25,1,29,1,27,1,26,2,27,1,25,3,26,1,25,1,26,3,27,1,26,1,27,1,25,1,24,2,12,3,17,2,12,1,17,1,12,1,10,1,12,2,9,1,11,1,24,1,9,1,13,1,8,1,13,1,8,1,9,1,24,2,13,1,9,2,11,1,17,1,16,1,17,3,16,1,17,1,16,1,11,1,10,1,11,2,16,1,11,1,17,2,9,1,11,3,16,1,17,1,11,1,16,1,11,1,16,1,17,1,11,2,17,3,12,1,17,1,12,2,9,1,11,1,24,1,8,1,13,2,7,1,28,2,7,2,24,1,26,1,8,1,27,3,26,1,29,3,25,2,27,1,29,1,27,1,30,2,28,6,29,3,30,1,27,1,30,1,26,1,29,1,25,1,27,2,26,1,6,2,27,1,6,1,29,1,30,1,13,1,30,1,7,1,13,1,7,2,13,1,24,1,13,1,24,1,13,1,8,1,12,1,8,2,24,1,9,1,13,1,10,2,9,1,12,1,10,2,12,1,11,1,8,1,11,1,9,1,11,1,16,1,8,1,10,1,16,1,9,1,17,2,11,2,9,1,11,2,17,1,16,1,11,1,16,1,17,1,11,2,9,1,17,3,11,1,10,1,11,1,17,2,11,1,9,3,11,1,9,1,10,2,11,1,9,1,10,1,9,1,16,1,9,2,11,1,17,3,11,1,17,2,11,1,17,3,12,1,17,3,11,1,17,4,12,1,11,1,12,1,17,1,11,1,17,1,12,3,17,1,12,1,9,2,11,1,9,1,11,1,9,1,10,1,8,1,12,1,10,1,9,2,11,1,12,2,10,1,11,1,17,3,12,1,17,3,12,1,17,2,24,2,8,1,24,1,7,1,13,2,24,3,10,1,8,1,24,1,13,1,10,1,24,2,8,1,24,1,11,1,17,2,12,1,9,1,10,1,17,3,12,1,17,4,11,1,17,1,12,1,11,1,12,1,13,2,7,1,6,1,30,1,6,4,30,3,29,1,13,1,5,20,28,1,13,2,12,1,8,1,9,1,10,1,9,2,10,2,9,1,8,1,9,1,7,1,13,3,8,1,24,1,13,1,7,1,8,2,13,1,7,1,6,1,29,1,6,2,13,1,30,1,6,3,28,1,30,1,28,1,30,1,28,1,30,1,7,1,30,1,28,1,30,2,6,1,28,1,29,1,7,1,13,1,7,1,24,1,9,1,24,1,8,1,10,1,12,1,10,1,11,1,17,1,12,1,17,2,12,1,17,1,12,2,11,1,17,3,11,1,17,2,12,3,17,6,12,1,17,1,11,1,17,1,11,2,10,1,11,1,17,29,12,1,17,5,10,1,12,1,13,1,24,1,8,1,12,1,13,1,12,1,9,1,10,2,11,1,12,1,10,2,9,1,12,1,24,2,9,1,13,3,7,3,6,1,28,1,6,1,28,7,33,1,5,21,13,1,28,10,16,1,17,1,11,1,16,1,12,2,24,1,13,1,8,1,13,1,6,1,7,1,6,1,7,1,29,1,13,1,9,1,16,1,17,2,13,1,28,4,6,1,15,1,14,1,24,1,6,1,28,1,13,1,28,13,}, {28,16,30,1,29,1,30,2,8,2,12,1,24,1,9,2,13,1,29,1,30,1,29,1,30,1,28,1,7,1,29,1,9,1,17,2,9,1,10,2,24,2,15,1,8,2,6,1,13,1,10,1,24,1,13,1,29,1,6,1,13,2,8,1,14,2,17,1,13,1,9,1,8,1,29,1,13,1,9,1,13,1,10,1,17,3,16,1,12,1,11,1,9,1,16,1,12,1,7,1,30,1,28,26,30,1,29,1,7,1,8,1,12,1,17,1,9,1,6,1,30,2,28,2,30,1,28,1,13,1,8,1,9,1,13,1,7,1,29,1,6,2,30,1,6,1,28,2,30,1,7,1,13,2,8,1,14,2,8,1,28,1,30,1,28,6,30,2,6,1,13,1,28,1,13,1,9,1,33,1,5,1227,30,1,6,1,28,3,6,1,28,2,30,1,28,2,13,1,28,5,13,8,6,1,28,1,13,1,6,1,30,1,13,6,6,1,13,1,30,3,28,1,30,1,6,2,13,1,30,1,7,1,6,1,30,1,28,19,13,1,30,1,13,1,7,1,13,5,9,2,13,3,9,1,11,1,16,2,17,1,16,1,9,2,17,3,11,1,6,1,13,4,10,1,17,1,16,1,17,1,16,2,13,1,9,1,17,1,11,1,9,1,17,1,9,1,11,1,17,14,16,1,11,3,9,2,8,2,11,2,16,2,11,1,17,3,16,1,17,2,16,1,17,9,11,1,17,1,16,1,17,5,11,1,17,1,12,1,9,1,10,1,9,1,12,1,10,1,9,1,24,1,8,1,24,1,8,1,9,1,24,1,8,1,24,1,13,1,8,4,24,2,7,1,24,1,13,1,29,1,9,1,24,1,13,2,8,1,24,1,6,1,9,1,13,1,24,1,8,2,24,1,9,1,11,1,9,4,13,1,7,1,28,4,29,1,28,2,29,1,7,2,6,2,13,1,7,1,13,1,7,1,8,1,13,1,7,1,13,1,30,1,6,1,30,1,7,1,8,2,13,1,8,1,13,1,24,2,10,1,12,1,7,1,13,1,7,3,6,1,8,1,7,1,8,1,24,1,28,11,30,1,25,1,28,1,30,1,29,1,7,1,13,2,6,1,24,1,8,2,9,1,8,1,24,1,13,1,8,1,13,3,8,2,13,1,7,1,8,1,7,1,13,2,6,1,30,1,13,1,6,1,13,3,24,1,8,5,9,1,10,1,9,3,10,1,9,3,13,1,24,1,13,3,6,3,29,3,27,2,28,2,30,2,28,8,30,1,27,1,30,1,29,1,30,1,29,1,27,1,29,1,28,1,29,2,28,1,29,1,30,2,29,2,28,1,29,1,28,1,26,1,30,2,26,1,27,1,30,1,6,1,28,2,6,1,29,3,6,1,29,1,7,1,30,1,13,1,25,1,6,3,29,1,7,1,6,1,30,1,6,2,25,1,29,1,6,1,29,1,13,2,30,1,6,1,7,1,6,1,13,2,6,1,7,1,29,1,13,1,6,1,13,1,29,1,30,1,6,1,29,1,7,3,13,1,7,1,13,1,6,1,7,1,6,1,13,1,8,1,7,2,13,2,8,2,13,1,7,1,6,1,8,1,10,1,24,1,10,1,24,2,9,1,8,1,9,1,24,2,9,1,24,1,6,1,27,1,26,4,25,1,27,1,29,2,27,2,29,1,27,3,30,2,26,1,8,1,24,2,12,1,11,1,12,1,17,1,12,1,11,1,17,1,11,1,12,1,11,1,17,1,11,1,9,1,8,1,13,1,6,1,8,1,7,1,29,1,6,3,13,1,9,2,11,2,17,7,11,2,16,1,17,1,10,1,17,1,16,1,9,1,17,1,11,2,17,2,11,1,16,1,11,1,16,1,17,4,16,1,11,1,16,1,11,4,9,1,10,1,8,2,30,1,29,1,25,1,27,1,28,1,25,3,27,1,26,2,29,1,25,1,26,1,29,1,27,1,6,1,26,1,25,1,26,1,27,1,28,8,29,2,25,1,27,1,29,2,26,1,30,1,25,1,26,1,6,1,8,1,26,3,8,1,29,2,6,1,7,1,8,1,6,1,29,1,7,2,8,1,7,1,8,2,13,1,8,1,13,1,24,1,8,1,9,1,12,1,8,2,9,1,12,1,9,1,8,1,12,1,9,1,8,1,9,1,11,2,9,1,11,1,10,1,11,3,17,1,11,1,9,1,17,1,11,1,9,1,17,1,11,2,17,1,11,2,17,6,16,1,9,1,11,2,10,2,11,1,9,1,11,1,13,1,11,2,9,1,11,2,9,4,16,2,17,3,16,1,17,4,11,1,17,1,12,1,17,7,11,1,17,3,11,1,17,1,12,1,17,1,12,2,11,2,12,1,9,1,10,1,9,1,11,3,10,2,9,1,12,2,11,1,17,1,12,1,10,1,11,1,12,1,17,10,10,1,8,1,13,2,8,1,13,1,24,1,10,2,12,1,9,1,24,3,13,1,24,1,8,1,10,1,8,1,12,1,10,1,17,15,10,1,24,3,6,1,29,1,6,1,30,2,6,1,7,1,30,3,5,19,33,1,7,1,13,2,10,1,9,2,11,1,9,3,24,1,9,2,10,1,13,3,9,1,13,1,6,1,8,1,13,1,7,2,6,1,13,1,7,1,13,1,6,3,8,1,29,1,6,1,30,2,28,2,6,1,30,3,28,1,6,1,30,1,7,1,30,1,13,1,7,1,6,1,9,1,24,1,9,1,10,1,24,1,10,1,11,1,10,1,17,2,12,1,17,1,11,1,12,3,17,5,12,1,17,1,12,2,17,1,12,2,17,3,10,1,17,5,12,1,17,1,11,1,12,1,17,1,9,1,12,1,17,26,12,1,10,1,17,2,11,1,17,1,11,1,24,1,8,1,11,1,10,1,8,3,24,1,12,1,13,1,12,1,9,1,10,1,9,3,11,1,13,1,8,1,9,1,13,1,30,1,13,1,6,2,7,1,6,1,7,1,30,2,28,5,33,1,5,22,6,1,28,9,6,1,16,1,17,2,16,1,9,1,17,1,24,1,13,4,8,1,13,1,30,1,6,1,13,1,12,1,11,1,17,1,11,1,8,1,28,1,29,1,28,2,29,1,14,2,9,1,6,1,29,1,6,1,28,13,}, {28,15,30,1,28,1,6,1,29,2,7,1,24,1,6,1,24,1,9,2,24,1,6,1,28,4,6,1,7,1,9,1,17,2,16,1,9,1,24,2,13,1,24,1,13,2,6,1,24,1,9,1,24,1,8,1,13,2,7,1,8,1,9,2,14,1,17,1,13,2,6,1,13,3,9,2,17,4,11,1,10,1,9,1,16,1,9,1,13,1,6,1,30,1,28,26,30,1,13,1,8,1,9,1,12,1,9,1,13,1,29,1,6,2,30,1,28,1,6,2,9,1,24,2,7,1,29,1,6,3,29,1,28,1,29,3,6,1,7,1,8,1,9,1,14,1,9,1,28,8,30,1,28,2,13,1,8,1,17,1,16,1,5,1227,6,1,30,1,28,2,6,1,30,1,28,2,30,1,7,1,6,1,30,1,9,1,28,3,6,2,13,1,8,1,13,1,6,1,13,2,30,1,28,1,6,2,9,1,13,1,8,1,9,1,10,1,9,1,13,1,6,1,13,2,7,1,6,2,13,2,6,1,13,1,30,1,6,1,13,1,6,1,30,1,28,20,6,1,28,1,7,1,6,3,7,1,13,3,30,1,13,1,9,2,11,1,16,1,11,1,16,4,9,1,17,3,9,1,30,1,13,4,17,1,11,1,16,4,13,1,17,1,16,1,9,1,11,1,9,2,17,14,9,1,13,2,9,2,11,1,13,1,10,1,11,2,17,1,16,1,11,1,16,3,17,17,10,1,17,4,11,1,17,1,11,2,10,2,8,1,10,1,9,1,11,1,24,1,8,1,12,1,13,1,8,2,9,1,8,1,9,1,24,1,9,1,8,2,13,1,24,2,8,4,13,1,8,1,7,1,24,1,13,1,10,1,8,1,24,1,8,1,12,1,9,5,8,1,13,1,8,1,7,1,28,3,30,1,29,1,30,1,7,1,28,1,8,1,13,1,7,1,6,1,24,1,13,2,8,1,13,1,6,1,13,1,24,1,30,1,6,1,30,1,6,1,13,3,8,1,24,1,7,1,13,1,7,1,9,1,8,1,13,1,6,4,8,1,24,1,8,1,6,1,28,11,29,1,6,2,29,1,7,1,29,1,30,1,13,1,8,2,13,1,8,1,13,1,8,1,9,1,13,1,9,1,24,1,8,1,7,1,6,1,13,3,8,1,13,1,7,1,6,2,8,2,13,2,8,1,13,1,8,1,24,1,9,1,8,1,9,1,8,2,13,1,11,1,9,2,11,1,9,1,8,2,13,1,9,1,13,1,6,2,13,1,29,1,7,1,29,1,30,1,27,1,28,14,30,1,28,1,29,1,30,1,28,1,30,2,28,1,30,2,29,2,28,1,25,1,28,2,30,1,28,1,27,1,28,2,30,1,28,1,30,1,27,2,29,1,25,1,29,1,28,1,8,1,25,1,29,1,6,2,7,1,6,1,30,1,6,1,27,1,30,1,6,1,25,1,30,1,26,2,6,1,30,1,6,1,29,1,6,2,7,1,29,1,8,1,29,1,6,3,29,1,6,1,13,1,7,1,13,1,6,1,8,1,13,1,7,2,6,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,13,1,24,1,6,1,13,2,8,1,6,1,8,1,13,1,8,1,7,1,13,1,8,1,7,1,6,1,8,3,24,3,7,1,24,2,8,1,26,2,25,1,27,1,24,1,8,1,27,1,28,4,30,1,29,1,28,2,27,1,29,2,27,3,25,1,8,1,9,1,10,2,11,1,17,1,12,1,17,3,10,1,12,1,9,1,8,2,13,1,6,1,8,1,13,3,8,1,7,1,13,1,8,2,11,2,17,1,16,1,11,1,16,1,17,3,16,2,9,1,11,1,17,1,10,1,17,1,11,1,16,1,11,2,9,1,17,1,11,2,17,1,16,1,11,1,16,1,17,5,16,1,11,2,16,1,8,1,12,1,8,1,24,1,29,1,30,2,27,1,29,1,27,1,25,1,8,1,26,2,8,1,29,2,6,1,30,1,6,1,8,1,6,1,25,1,26,1,30,1,29,1,28,6,30,2,29,2,26,1,25,1,29,1,25,1,29,1,30,1,25,2,6,1,26,1,29,1,25,2,26,2,6,1,7,2,6,1,8,2,6,1,13,1,8,2,13,2,8,1,13,1,8,1,24,1,9,1,24,1,8,1,12,1,9,3,11,1,10,1,11,1,9,2,11,1,9,1,11,1,10,1,9,2,16,1,11,1,8,2,11,1,10,1,9,1,17,1,12,1,17,1,9,1,11,1,16,1,17,1,11,1,17,7,9,1,17,1,11,2,10,1,9,1,10,2,11,2,9,1,11,3,9,3,17,2,16,1,17,7,11,1,17,1,12,1,17,2,11,1,17,4,12,1,17,1,11,2,17,1,12,1,17,1,11,1,17,2,12,1,11,1,10,2,12,1,9,1,10,1,9,1,11,1,9,3,11,1,10,1,9,1,10,1,17,1,11,2,12,2,17,7,10,1,12,1,24,1,8,1,24,1,10,1,13,1,7,1,12,1,24,2,8,2,24,1,10,1,8,1,10,1,24,1,9,1,24,1,9,1,10,2,9,1,12,1,11,1,17,13,12,2,13,1,8,1,29,3,28,2,6,2,28,2,13,1,5,18,13,1,9,1,13,2,9,1,8,1,9,2,11,1,9,1,24,1,10,1,9,2,13,1,8,1,13,2,9,1,13,2,7,1,13,1,7,2,6,1,7,1,29,1,7,1,6,1,29,1,6,1,13,1,6,2,7,1,30,1,13,1,30,1,29,1,30,2,28,1,6,4,7,1,13,1,12,1,13,1,24,1,9,1,24,1,11,1,12,1,9,2,12,1,11,1,10,1,11,1,17,5,12,2,17,1,11,2,17,12,12,1,17,5,12,1,24,1,10,1,13,2,24,1,17,22,12,1,17,1,10,1,9,1,12,1,11,1,12,1,10,1,17,1,10,1,24,1,9,2,24,1,8,2,12,1,9,1,7,1,13,1,12,1,10,1,9,1,17,1,8,1,9,1,8,1,13,3,30,1,29,1,6,1,13,1,28,1,13,1,28,1,6,1,28,7,5,23,13,1,28,9,6,1,17,1,14,1,17,3,24,1,13,2,24,1,8,1,6,1,13,1,6,2,7,1,8,1,9,2,17,1,16,1,6,1,28,4,6,1,15,2,13,1,6,2,28,14,}, {28,16,30,4,13,1,8,1,17,1,10,2,9,2,13,1,6,4,30,1,29,1,13,1,12,1,17,1,9,2,24,1,13,1,9,2,8,1,13,1,30,1,13,1,24,2,13,1,29,2,6,1,13,1,8,1,16,1,17,1,12,1,9,1,8,1,13,1,6,1,8,1,13,3,17,4,16,2,12,1,9,2,13,1,28,1,30,1,28,26,29,1,6,1,24,2,17,1,12,1,8,1,6,2,30,1,29,1,28,1,7,1,6,1,8,3,13,1,6,1,28,1,6,2,29,2,30,1,29,1,13,1,8,1,13,2,9,2,24,1,29,1,28,6,30,1,28,1,6,2,13,1,7,1,17,1,16,1,5,1226,6,1,28,2,30,1,28,1,29,1,28,2,30,1,13,1,6,1,13,3,28,3,7,1,13,1,6,2,13,1,9,1,6,1,30,1,6,2,13,1,9,1,13,3,8,1,13,4,6,1,7,1,30,1,13,2,6,1,7,1,6,4,29,1,13,1,28,17,30,1,28,1,30,1,6,3,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,17,2,9,1,16,4,11,4,9,1,16,2,17,1,16,1,28,1,13,1,9,1,13,1,9,1,17,1,9,1,17,1,11,1,17,1,9,2,17,1,11,2,9,1,16,2,17,11,16,1,11,1,9,1,13,1,9,1,13,1,9,3,11,1,16,1,17,1,16,1,17,2,16,1,11,1,16,3,17,12,11,1,16,4,17,4,16,1,11,1,17,1,10,1,9,1,11,1,9,1,10,1,9,2,8,3,9,1,8,2,24,2,9,1,24,1,10,1,9,1,10,1,8,3,13,1,29,1,13,1,24,1,8,1,7,1,24,1,13,1,9,1,24,1,13,1,24,1,9,1,8,1,24,1,8,1,9,3,10,1,13,1,9,1,29,1,30,3,6,1,29,1,30,1,6,2,7,2,13,2,6,1,7,2,6,1,7,1,13,1,8,1,13,2,30,2,6,1,30,1,7,1,8,1,6,1,8,1,6,1,7,1,6,1,13,1,8,2,29,1,7,1,6,1,29,1,13,1,7,1,13,1,28,11,29,2,30,1,29,1,7,2,6,1,8,1,13,1,7,1,13,3,8,1,13,1,6,1,8,1,24,1,13,1,8,1,13,4,29,1,7,1,6,1,8,1,7,2,8,1,30,1,7,1,13,1,8,1,13,1,6,1,13,1,8,1,13,1,9,1,8,1,9,3,11,1,9,2,11,1,9,1,11,1,9,1,24,1,13,1,9,1,7,2,6,1,30,1,29,1,28,2,29,1,27,1,28,12,30,1,28,4,29,1,27,2,28,1,30,1,28,1,27,1,30,1,28,5,30,1,29,1,28,2,30,1,27,1,28,2,29,1,26,1,30,1,29,1,26,1,28,1,30,1,6,1,30,2,28,2,27,1,29,1,25,1,28,1,30,2,6,1,27,1,30,1,6,1,7,1,6,1,7,3,6,1,13,1,29,1,6,1,7,2,13,1,7,2,24,1,13,1,24,1,7,2,13,2,6,1,13,2,6,1,13,2,7,1,13,1,6,1,13,2,7,1,24,1,13,1,24,1,8,1,24,2,8,1,24,1,7,2,24,1,25,1,8,2,25,1,8,1,24,1,12,1,24,2,25,1,8,1,25,2,26,1,27,1,25,1,30,1,28,4,30,1,28,4,30,1,29,2,27,3,13,1,24,1,12,2,17,5,12,1,17,2,9,1,8,2,13,1,8,3,13,2,9,1,8,1,9,3,7,1,9,1,11,1,16,2,17,4,16,1,11,1,9,1,11,1,17,1,11,1,16,1,11,2,16,1,17,1,9,1,16,2,11,1,10,1,16,1,17,1,16,2,17,4,16,1,17,3,9,2,10,1,8,1,6,1,30,1,27,1,29,2,25,2,26,1,27,1,26,1,25,1,30,1,6,4,7,1,8,1,25,1,8,1,29,1,28,5,30,1,28,2,29,1,27,2,26,2,27,1,30,2,26,1,6,1,27,1,26,1,25,1,6,1,29,1,6,4,7,1,6,1,7,1,13,2,7,1,24,1,13,1,6,1,24,1,8,1,13,1,9,1,8,2,24,2,9,2,8,1,12,1,8,1,24,1,11,2,13,1,11,3,9,1,10,1,9,1,8,1,9,1,13,1,11,2,10,1,11,4,17,2,11,1,17,1,10,1,17,3,11,1,17,1,11,2,16,1,17,1,11,3,9,1,10,1,11,3,16,1,17,1,11,2,9,4,11,1,17,11,12,1,17,6,11,1,17,2,10,1,12,1,17,1,11,1,17,1,12,1,11,1,17,1,11,2,17,1,10,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,8,1,10,1,9,2,11,2,17,4,12,1,17,6,12,3,10,1,7,1,24,1,8,1,12,1,10,1,24,5,8,2,24,1,13,1,8,1,9,1,10,1,8,1,12,3,17,1,12,2,17,1,12,1,17,7,12,1,17,1,12,1,9,1,8,2,13,1,7,1,6,1,13,1,28,1,6,1,30,3,28,1,5,17,33,1,9,1,11,1,8,1,10,1,24,1,10,2,9,1,11,1,10,1,13,1,10,1,8,1,9,1,13,1,8,1,13,4,8,1,6,1,7,1,28,1,6,1,30,1,6,2,13,2,6,1,13,1,6,4,28,1,6,1,7,1,29,1,30,3,7,1,6,1,30,1,13,1,8,1,13,1,24,1,13,1,10,1,24,1,9,1,10,1,12,1,17,1,12,1,17,2,12,1,11,1,12,1,17,6,24,1,11,1,12,2,17,1,12,3,10,1,17,1,12,1,17,2,12,1,17,3,12,2,17,1,9,1,24,1,9,2,8,1,24,1,10,1,9,1,11,1,17,22,12,2,10,1,24,1,12,1,10,3,24,1,9,1,8,1,10,1,11,1,10,1,24,1,9,1,13,1,11,1,10,2,8,1,9,1,13,1,9,2,13,1,7,1,13,2,6,1,30,1,6,1,30,1,13,1,6,1,28,1,30,1,28,5,5,24,13,1,28,9,6,1,16,1,14,1,17,1,12,1,16,1,10,1,13,1,24,1,9,1,8,1,6,1,13,1,6,1,13,1,8,1,13,1,8,1,9,1,12,2,13,1,28,1,30,1,28,2,7,1,15,1,14,1,13,1,7,1,6,1,28,14,}, {28,16,30,1,28,1,29,1,6,1,7,1,6,1,10,1,8,1,9,1,17,1,11,1,13,1,30,1,29,1,7,1,30,1,29,1,30,1,9,1,12,1,17,1,9,1,13,1,24,1,13,1,6,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,6,1,13,1,30,1,13,1,9,1,16,1,14,2,9,1,13,1,8,1,29,1,13,1,8,2,13,1,12,1,17,3,12,1,9,1,17,1,9,1,12,1,13,1,7,1,28,15,30,1,28,10,29,1,30,1,6,1,7,1,9,1,12,1,9,1,8,1,13,1,7,1,6,1,29,1,28,2,6,1,13,1,24,2,8,1,29,1,30,1,29,1,30,1,7,1,6,1,30,1,7,1,30,1,13,1,8,2,13,1,15,1,13,1,29,1,28,1,30,1,28,6,30,2,6,1,28,2,13,1,5,1224,9,1,13,1,6,1,13,1,28,2,30,1,28,1,30,3,6,2,9,1,13,1,28,3,30,1,13,1,9,2,13,1,30,1,28,1,6,1,13,1,28,1,13,1,30,1,9,1,13,1,11,1,8,3,9,1,6,1,13,2,30,1,13,1,6,2,28,1,6,2,30,1,6,1,13,2,28,19,30,2,28,1,13,3,9,1,13,2,9,1,13,1,9,1,11,3,16,1,17,1,16,1,17,3,16,1,10,1,9,1,16,4,11,1,30,1,6,1,13,1,9,1,16,1,17,1,9,1,16,3,9,1,16,1,11,3,9,1,13,1,9,1,17,10,16,1,11,2,9,1,13,2,9,3,11,1,16,4,17,3,16,3,9,1,17,14,16,1,11,1,17,2,11,1,17,3,9,1,17,2,12,1,9,2,10,1,24,1,9,1,10,1,9,3,10,1,9,1,8,1,9,1,11,1,24,1,12,1,13,1,24,1,9,1,7,1,24,1,13,5,7,1,13,2,7,1,8,2,13,1,8,1,9,1,13,1,10,1,8,2,13,2,10,1,24,1,6,1,13,2,6,1,7,1,13,2,7,1,13,1,7,1,6,1,13,2,8,1,13,6,7,1,8,1,7,1,28,1,29,1,30,1,13,1,6,1,7,1,13,1,6,1,29,2,30,1,6,4,7,1,13,1,8,2,29,1,28,11,30,1,28,1,29,1,6,1,29,1,30,1,6,1,7,2,8,1,13,2,6,1,13,1,8,4,13,1,8,1,7,1,6,1,28,2,6,1,13,2,7,1,13,1,8,1,6,2,8,2,7,1,9,1,13,1,9,2,13,1,8,3,10,1,13,1,9,2,13,1,9,1,8,1,9,1,24,1,9,1,7,1,8,1,6,1,13,1,29,1,8,1,30,1,29,1,28,18,30,1,28,1,27,1,28,1,30,1,29,1,30,1,27,1,28,1,29,1,30,1,28,2,29,1,28,1,30,1,29,1,28,2,30,2,26,1,25,1,27,1,30,2,6,1,28,1,29,1,27,1,28,1,27,1,28,1,29,3,30,1,27,1,28,1,27,1,29,2,27,1,29,1,6,1,8,1,7,2,6,3,7,1,13,1,7,2,8,1,13,1,6,1,8,1,7,1,6,1,7,1,13,1,8,2,24,1,7,2,13,6,8,1,6,1,24,1,8,2,10,1,24,2,8,1,24,4,8,1,26,1,8,2,24,1,8,2,24,4,8,1,25,1,8,1,24,1,8,1,25,1,28,8,29,1,28,1,30,1,28,1,29,2,27,1,26,1,25,1,6,1,8,1,24,1,9,1,17,1,11,1,17,6,8,1,24,1,9,2,8,1,13,1,11,1,9,1,11,1,10,1,11,1,10,1,9,2,13,1,9,1,11,2,16,2,17,2,16,1,17,2,9,2,11,3,16,5,11,1,17,1,16,1,11,2,16,1,17,6,16,1,17,1,11,1,17,2,10,1,8,1,13,1,28,1,27,1,29,1,30,1,28,1,30,1,26,2,25,1,26,1,8,1,24,1,29,1,6,1,7,1,8,1,6,1,8,1,6,2,27,1,28,6,29,1,30,1,28,1,30,1,29,1,28,1,26,1,30,1,29,3,27,1,25,1,27,1,29,3,6,1,25,1,26,1,29,1,6,1,25,1,6,1,7,4,24,2,8,1,24,1,8,1,24,1,13,1,8,2,24,1,13,1,9,1,8,1,9,2,8,1,11,1,9,1,8,1,9,2,8,1,10,1,9,1,8,1,9,2,13,1,8,1,10,1,9,1,12,1,10,1,11,2,12,1,17,1,11,1,17,1,11,1,17,1,11,1,17,4,11,5,9,1,10,1,16,1,10,1,11,1,16,1,11,2,16,1,11,1,9,1,10,1,9,1,17,2,16,1,17,8,11,1,17,2,12,1,17,1,11,1,17,3,12,1,17,2,12,1,17,1,12,2,11,1,17,1,10,1,12,2,10,1,12,1,10,1,11,1,9,1,11,3,9,2,8,1,11,1,8,1,12,1,10,1,11,1,9,2,12,2,11,1,12,1,11,1,17,7,10,1,12,1,11,1,12,1,24,1,9,1,10,1,24,1,13,1,10,1,13,2,24,1,12,1,9,1,10,1,24,2,10,3,12,1,10,1,11,1,12,2,17,1,12,1,17,9,12,1,10,1,24,1,8,1,13,1,30,1,6,1,7,1,6,2,29,1,30,1,28,1,9,1,5,16,11,1,9,1,7,1,11,1,9,4,12,1,9,1,8,1,9,2,13,1,8,1,13,1,6,1,13,1,6,1,13,1,7,1,13,2,28,1,7,1,6,1,13,1,7,1,29,1,30,1,6,1,29,1,6,3,30,3,7,1,6,1,29,1,6,1,30,1,28,1,6,1,30,1,13,2,8,4,24,1,17,1,9,1,17,2,12,1,17,2,10,1,17,2,12,1,17,6,12,1,10,1,9,1,11,1,17,8,12,1,17,3,12,1,11,1,17,1,9,1,24,1,8,2,10,1,13,1,7,1,13,1,8,1,17,23,8,1,12,4,17,1,12,1,9,1,17,3,12,1,10,1,9,1,17,1,10,1,8,1,10,1,8,1,11,1,13,1,9,1,13,2,28,1,6,1,8,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,28,2,30,2,28,3,33,1,5,24,33,1,28,9,13,1,17,1,14,1,17,1,16,1,17,1,10,1,24,1,11,1,9,1,7,1,13,1,7,1,13,3,8,1,13,1,17,3,6,1,28,1,30,1,28,1,30,1,28,1,14,1,15,1,13,1,6,2,28,14,}, {28,15,6,1,30,1,6,3,8,1,24,1,8,1,9,1,17,1,10,1,17,1,13,1,6,2,30,1,6,1,28,1,6,1,24,1,17,2,24,1,8,1,9,1,8,3,10,1,8,1,13,2,14,1,11,1,8,1,13,1,7,1,13,1,8,2,14,1,17,1,14,1,17,1,12,1,8,1,6,1,13,1,7,1,24,1,8,1,17,4,9,1,16,1,11,1,10,2,8,1,30,1,28,1,30,1,28,24,6,1,7,1,6,2,8,1,9,1,15,1,13,1,7,1,6,2,30,1,29,1,30,1,29,1,13,1,24,1,12,1,24,1,29,1,28,1,7,1,6,1,29,1,13,1,6,4,13,1,6,1,24,1,12,1,8,1,30,1,28,1,30,1,28,7,30,1,7,1,30,1,28,2,5,1224,30,2,6,1,28,1,30,1,28,1,6,1,30,1,6,1,13,2,8,1,13,2,30,1,28,1,30,1,13,4,28,2,6,1,28,1,13,1,6,2,13,2,16,1,13,1,8,1,13,2,8,2,30,1,8,1,28,1,6,1,13,1,28,1,30,2,28,2,6,2,28,18,30,1,13,1,30,1,28,1,30,2,28,1,13,4,8,1,13,1,11,2,16,1,10,1,16,1,11,1,17,1,11,1,17,3,16,1,10,1,9,1,13,2,11,1,16,1,13,3,11,2,17,2,16,1,11,1,17,1,16,3,17,2,16,1,9,1,13,1,9,1,17,9,16,1,11,2,9,4,11,1,10,1,16,1,9,1,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,1,11,1,17,14,11,1,17,7,11,1,17,1,11,2,10,1,9,4,10,1,9,2,10,1,8,1,11,1,8,1,9,2,8,1,11,1,8,1,9,2,24,1,8,1,13,1,8,1,13,1,24,1,7,1,6,1,13,4,8,1,7,1,8,1,24,2,8,2,9,1,8,1,13,1,24,1,9,2,8,1,24,1,7,1,29,1,13,1,7,1,6,2,7,3,29,1,8,1,13,1,8,1,13,1,8,2,13,2,6,1,29,1,28,1,30,1,6,1,13,1,7,1,6,2,28,1,7,1,30,1,29,1,6,2,29,1,7,2,29,1,6,1,28,12,30,1,28,1,6,1,29,1,6,1,8,1,6,2,7,1,13,1,9,1,8,3,9,1,8,1,6,1,24,1,7,1,8,1,9,1,13,1,8,1,24,1,7,1,13,1,7,1,8,1,13,2,29,1,8,1,7,1,13,1,8,1,9,2,8,1,13,2,8,3,13,1,9,1,8,1,11,1,9,1,16,1,9,2,8,1,24,3,8,1,6,1,29,2,30,1,28,23,30,1,28,1,29,1,30,1,28,5,29,1,28,2,30,1,28,2,30,2,28,6,29,1,28,1,27,1,29,6,30,1,28,1,29,2,27,1,30,2,25,1,29,1,30,1,29,1,6,4,7,1,6,1,28,1,6,2,13,1,6,1,7,1,6,1,7,1,8,1,13,1,8,1,24,1,8,1,7,2,13,3,6,1,13,1,6,1,7,1,6,1,8,1,13,1,12,1,8,1,13,1,24,1,7,1,27,1,25,1,8,1,27,1,30,1,28,1,27,1,25,2,8,2,24,2,8,1,24,1,8,1,24,2,29,2,28,2,30,1,28,6,29,1,30,1,28,2,27,1,28,1,29,1,26,1,6,1,7,1,24,1,9,1,24,1,11,1,9,1,11,1,17,5,11,1,8,2,9,1,24,1,9,1,12,1,10,1,17,2,11,1,9,1,11,1,10,1,13,1,8,1,9,1,16,1,11,1,17,1,16,2,17,3,16,2,11,1,16,1,17,1,16,1,11,1,16,1,11,3,17,1,11,1,17,2,16,2,17,6,11,1,17,1,11,1,17,1,12,1,6,1,7,1,27,1,28,1,30,2,29,3,30,1,25,2,27,1,7,1,8,1,6,3,8,1,13,1,8,1,29,1,30,1,29,1,27,1,28,1,29,2,28,3,29,1,28,1,29,1,30,1,28,1,29,1,26,1,29,1,25,1,27,1,29,1,25,1,7,1,27,1,6,1,25,1,30,1,6,4,7,2,24,1,8,2,13,1,24,1,8,1,24,1,9,1,13,1,8,1,13,1,8,4,10,1,9,2,8,1,11,1,9,2,11,1,10,2,8,1,10,1,11,1,9,2,11,1,9,2,8,2,9,1,11,1,17,1,10,1,17,3,12,1,11,1,17,2,16,1,11,1,17,1,11,1,16,1,11,1,9,1,10,2,17,1,11,1,16,1,17,3,16,1,17,1,9,1,13,1,9,1,11,1,17,1,10,1,11,1,16,1,17,1,16,1,17,1,11,1,17,2,12,1,17,6,12,1,17,5,12,2,17,1,12,1,17,1,10,1,12,2,9,1,17,1,12,2,9,2,10,2,12,1,9,3,10,1,9,1,12,1,24,1,12,1,9,1,12,1,10,1,12,1,10,1,9,1,11,2,17,6,12,1,17,1,9,2,12,1,9,1,24,1,12,1,24,1,8,1,13,1,10,1,11,1,24,1,13,1,8,1,13,1,8,1,24,1,12,1,8,1,12,1,24,2,10,1,11,1,9,1,12,2,17,11,11,1,8,1,13,1,24,1,6,2,30,1,7,1,28,3,5,16,9,2,13,1,9,1,11,1,9,1,8,1,24,1,8,1,12,1,8,1,9,1,8,2,13,1,7,1,13,1,7,1,13,2,7,1,30,1,7,1,6,1,29,1,13,1,7,1,6,1,7,1,29,1,13,2,30,1,6,1,28,1,6,1,30,1,13,1,30,1,6,1,7,1,30,1,6,1,29,1,13,1,7,1,8,1,10,1,8,1,10,1,24,1,12,1,9,1,17,1,10,1,17,12,12,1,17,2,10,1,12,1,11,1,17,2,11,1,17,1,11,1,12,2,17,5,12,1,17,1,24,1,17,1,10,2,24,1,13,1,7,1,8,1,6,1,7,1,13,1,8,1,10,1,12,1,17,13,12,1,17,3,12,1,17,3,12,1,11,3,12,1,10,1,17,1,12,1,9,1,12,1,9,1,12,1,9,1,10,1,9,1,8,1,6,1,30,1,13,1,6,1,13,1,6,1,30,1,13,1,6,1,30,2,7,1,28,1,30,3,28,2,30,1,28,3,30,1,33,1,5,25,6,1,28,9,6,1,14,1,17,4,12,2,24,1,10,1,8,1,13,1,6,1,8,1,6,1,29,1,13,1,14,1,17,2,11,1,30,1,28,4,6,1,15,1,11,1,15,1,13,1,8,1,30,1,28,13,}, {28,16,6,1,28,1,6,1,29,1,13,1,8,1,24,1,12,1,17,2,11,1,13,1,6,1,13,1,30,1,6,1,29,1,6,1,9,2,17,1,11,1,8,1,24,1,13,1,8,2,9,1,8,1,29,1,13,1,17,1,10,2,13,1,9,1,13,1,8,2,9,1,17,3,12,1,16,1,15,1,24,1,9,1,8,1,24,1,12,1,17,3,11,1,16,1,12,1,16,1,11,1,9,1,6,1,28,25,30,1,29,1,13,1,6,2,8,1,15,1,14,1,30,1,28,2,6,2,30,1,29,1,6,1,24,4,7,1,30,1,7,1,29,1,6,1,7,1,6,1,13,1,6,1,24,1,8,1,7,1,9,1,10,1,8,1,30,1,28,6,30,1,28,1,6,1,30,1,6,2,28,2,5,1222,33,1,6,2,28,3,30,2,6,1,28,1,13,2,8,1,13,2,28,2,30,1,6,2,9,1,6,1,28,2,30,1,28,1,13,3,8,1,13,2,9,3,13,4,6,1,30,1,28,3,30,1,28,1,30,2,6,1,30,1,28,22,30,2,6,1,13,4,9,1,13,1,9,2,11,2,9,1,11,1,16,1,17,1,16,1,17,5,11,2,9,3,13,1,6,1,9,1,11,1,16,1,17,1,16,1,17,1,16,2,17,5,16,1,9,2,11,1,16,1,17,7,16,1,9,1,17,1,9,1,16,1,11,1,10,1,9,2,11,2,16,1,9,1,17,1,16,1,17,3,16,1,17,4,11,1,17,1,11,1,17,24,11,3,12,1,10,1,8,1,10,1,9,1,24,1,9,1,11,1,10,1,9,1,11,1,9,1,10,1,9,2,10,1,9,1,24,1,13,1,10,1,7,1,13,1,8,1,13,3,8,1,24,1,13,1,24,1,13,1,8,1,9,1,8,1,24,3,9,1,8,1,13,2,9,1,24,2,6,1,13,3,6,2,7,1,6,1,8,1,13,2,7,1,13,1,6,1,8,1,24,1,8,1,29,1,28,3,30,2,6,1,7,1,28,2,30,4,6,1,29,1,28,18,29,1,30,2,6,1,7,1,13,1,8,1,13,5,8,1,24,1,8,2,13,1,7,1,13,1,6,1,13,3,24,1,6,1,13,1,6,1,13,1,6,1,13,1,24,1,13,1,8,1,24,1,13,2,8,1,13,3,9,1,13,1,9,1,8,1,13,1,9,1,8,3,9,1,8,3,13,1,7,1,6,1,29,1,28,1,29,1,28,1,30,1,28,18,30,2,27,1,29,1,27,1,30,1,28,1,30,1,28,2,30,1,28,1,29,2,28,2,29,1,30,1,28,1,26,1,29,2,30,2,27,1,29,1,28,1,29,1,27,1,30,1,28,1,27,1,30,1,27,1,26,1,27,1,28,1,25,1,30,2,27,2,30,1,29,1,6,2,29,1,6,1,13,1,7,3,13,1,29,1,6,1,24,1,13,1,7,2,9,1,13,1,8,1,13,1,8,2,13,1,8,1,13,3,24,1,13,1,8,2,24,1,8,2,13,1,24,1,29,2,27,3,30,1,25,1,27,3,25,1,24,1,25,1,8,2,25,1,26,1,25,1,27,1,28,10,30,1,28,2,27,2,29,1,27,1,25,1,8,2,24,1,8,2,11,1,9,3,11,1,17,4,11,1,10,1,9,1,10,1,24,1,8,1,10,1,11,2,12,1,17,1,11,1,10,1,11,1,9,1,13,1,9,2,16,1,11,1,16,3,17,4,11,1,16,1,17,1,16,1,11,2,16,1,17,1,11,1,17,3,11,2,17,2,16,1,17,5,16,1,17,4,8,1,6,1,27,1,30,1,27,1,30,2,29,2,27,2,29,2,25,1,6,2,13,1,6,1,13,1,8,1,13,1,8,1,30,1,29,1,27,1,29,1,28,1,30,1,28,3,29,1,30,1,28,1,27,1,28,1,30,1,29,1,26,1,29,1,26,1,25,1,6,3,27,1,29,2,28,1,30,1,29,1,6,3,13,1,8,1,24,2,7,1,24,1,8,2,13,3,8,1,24,2,8,1,9,1,8,2,9,1,11,1,9,2,8,1,9,1,8,1,9,2,11,1,16,1,9,2,8,2,13,2,11,1,12,2,11,1,17,7,11,1,16,2,17,3,16,1,11,2,16,2,11,1,17,2,16,1,17,1,16,1,11,1,9,1,8,1,11,5,10,1,17,7,11,2,17,2,12,1,17,8,11,1,17,2,11,3,12,3,9,1,12,2,11,3,12,1,10,1,12,1,10,1,9,1,10,3,9,1,11,1,10,1,11,3,10,1,12,1,10,1,12,1,17,7,12,2,10,1,11,1,9,1,12,1,8,2,9,1,10,1,24,1,10,1,8,3,9,1,8,1,10,2,24,1,12,1,24,1,11,1,17,1,12,2,17,1,12,2,17,6,12,1,17,1,10,1,12,1,9,1,7,1,13,2,6,3,30,1,28,1,13,1,5,14,13,1,9,3,10,1,9,1,12,2,9,4,10,1,13,2,7,1,13,2,7,1,13,1,6,2,7,1,6,1,13,1,30,1,13,1,6,1,7,1,29,1,6,1,30,2,6,1,7,1,28,1,30,1,29,1,6,1,30,1,6,1,30,1,7,2,13,1,6,1,13,2,9,1,13,1,24,1,12,2,17,2,10,1,17,9,12,1,17,6,11,1,17,1,12,1,11,1,17,1,12,1,17,1,12,1,17,3,11,1,17,3,24,1,10,1,13,2,7,1,30,1,13,1,8,1,7,1,13,3,7,1,8,1,17,15,12,1,17,1,12,1,17,2,9,1,17,1,12,1,10,2,11,1,24,1,12,1,17,1,8,1,11,1,12,1,9,2,13,3,7,1,13,1,30,1,6,3,13,2,7,1,30,2,28,5,30,1,28,3,13,1,28,1,13,1,5,27,28,10,30,1,17,3,16,1,11,1,9,1,13,1,8,1,24,1,6,1,10,1,6,3,13,1,24,1,11,1,17,2,10,1,28,2,30,1,28,2,6,1,14,2,13,2,28,15,}, {28,16,30,2,7,2,13,1,8,2,10,1,12,1,10,1,17,1,9,1,13,1,6,2,29,1,6,1,30,1,13,1,12,1,17,1,8,1,9,2,13,1,8,2,24,1,13,1,7,1,6,1,17,1,10,1,9,1,24,2,9,1,24,1,8,1,12,1,17,3,9,1,8,1,7,1,8,1,24,1,8,2,17,4,16,3,10,1,16,1,9,1,13,1,30,1,28,24,30,1,28,1,7,1,13,1,6,1,13,1,9,1,8,1,13,1,28,1,30,1,28,1,6,4,13,1,24,1,10,1,9,1,7,1,30,2,6,1,28,1,8,3,13,1,8,1,13,1,9,1,8,1,24,2,6,1,28,5,30,1,28,1,30,1,28,2,30,1,29,1,28,2,5,1221,13,1,28,1,13,2,28,3,30,2,7,1,8,1,9,1,13,1,7,1,13,2,28,3,13,2,30,1,28,3,6,1,28,1,30,1,28,2,6,1,13,2,9,1,13,3,9,1,13,1,30,1,28,3,7,1,28,1,6,1,28,1,6,2,30,1,6,1,30,1,28,17,30,2,6,3,13,2,6,1,9,1,13,1,9,4,11,1,17,1,16,2,11,1,16,1,17,6,16,2,9,3,13,2,6,1,16,1,11,1,17,1,11,1,17,2,11,1,17,1,11,1,16,1,17,1,11,1,16,1,17,1,10,1,13,2,17,8,11,1,9,1,16,1,10,2,9,2,13,2,8,1,9,1,17,14,16,1,17,26,11,1,17,1,9,1,10,1,8,1,9,1,11,1,10,1,9,1,11,3,8,1,10,1,9,3,13,1,10,1,8,1,13,1,8,2,7,1,29,1,7,2,13,1,8,1,6,1,8,3,24,1,13,1,8,1,9,1,8,1,24,1,8,1,10,1,24,1,9,1,24,1,9,1,24,1,9,1,13,1,8,1,13,3,6,2,13,1,6,1,13,2,8,1,24,1,8,2,6,1,28,3,6,1,28,1,29,1,6,2,30,1,28,3,29,3,28,16,30,1,29,1,27,1,29,1,6,2,7,1,13,1,24,1,13,2,24,1,13,1,24,1,13,3,24,1,9,1,13,2,7,1,6,1,13,1,6,1,7,1,6,1,8,1,6,1,13,1,7,1,8,1,9,1,8,1,24,1,8,2,9,1,8,2,13,1,9,1,24,1,13,1,8,1,9,2,8,1,10,1,9,5,13,1,10,1,8,1,29,1,6,1,30,2,28,22,27,1,30,2,28,1,30,1,28,1,29,1,28,1,30,4,28,5,29,1,28,2,29,1,28,1,27,1,30,4,29,1,27,1,30,1,29,1,27,1,28,1,29,2,30,2,27,2,28,1,29,1,6,1,29,1,7,1,6,1,7,1,6,1,8,1,6,1,29,1,7,1,8,2,13,1,6,1,13,1,8,4,13,3,7,2,13,2,8,1,13,1,6,1,8,1,24,2,7,1,8,1,25,1,8,1,27,1,28,1,27,2,29,1,27,1,28,1,26,1,27,2,8,1,25,1,27,1,25,2,8,1,26,1,27,1,28,12,30,2,29,2,30,1,27,1,26,1,24,2,9,1,24,1,9,2,10,1,11,1,10,1,9,1,12,1,17,1,10,1,17,1,11,1,16,1,11,1,24,1,9,3,11,1,10,1,12,1,16,1,11,2,9,1,11,1,9,1,11,1,17,1,16,3,17,1,16,1,17,5,16,1,17,1,16,1,11,1,17,1,16,1,17,1,16,1,17,4,16,2,17,1,16,1,17,6,11,2,17,1,11,1,8,1,13,1,29,3,28,2,30,1,29,2,27,1,26,1,27,1,25,1,26,1,7,1,29,1,24,1,8,2,13,1,8,1,13,1,30,1,28,1,6,1,30,1,28,3,6,1,30,1,27,1,30,1,27,2,30,1,29,1,26,1,27,1,8,1,30,1,8,1,25,1,29,1,6,1,25,1,6,1,30,1,6,1,7,1,8,1,6,1,7,1,24,1,13,3,7,1,24,1,7,1,10,1,6,1,7,1,13,2,8,2,13,1,8,1,13,2,12,1,9,1,8,1,9,2,24,1,13,1,8,1,11,1,9,1,10,1,11,1,9,1,13,1,9,3,8,1,10,1,17,1,10,1,11,1,17,1,11,1,17,2,16,3,11,1,17,1,11,3,16,1,11,2,16,1,17,8,10,1,9,2,11,1,17,1,11,3,17,2,11,1,17,4,12,1,17,2,12,1,11,1,17,3,11,1,17,3,11,1,12,1,17,1,11,1,12,2,11,1,17,1,11,1,17,5,9,1,12,2,11,1,9,2,10,2,9,1,11,1,9,2,11,1,12,2,9,1,17,1,9,1,17,1,10,1,17,6,12,1,17,1,12,1,17,1,10,3,12,1,8,1,9,1,8,1,24,1,10,1,8,2,13,1,10,1,13,1,9,2,11,1,8,2,12,1,13,1,17,1,10,1,12,1,17,10,11,1,12,1,9,1,10,1,7,1,13,1,6,1,7,1,28,1,6,1,30,2,5,13,9,2,13,1,10,2,9,1,11,1,8,3,11,1,8,1,24,1,7,1,24,1,13,1,8,1,6,1,8,1,7,2,6,1,13,1,30,1,29,1,7,1,6,2,13,1,6,1,7,1,29,1,30,1,6,1,28,1,6,1,28,1,6,1,30,1,28,1,6,1,28,1,7,2,6,1,13,1,8,2,11,1,24,1,17,1,12,1,17,1,12,1,17,8,11,1,17,1,11,1,17,7,12,1,17,1,11,1,12,1,17,2,10,1,17,1,12,1,17,3,12,1,17,2,12,3,7,1,6,1,13,1,7,1,13,2,30,1,10,1,13,3,8,1,12,1,11,1,17,14,12,2,17,1,12,1,11,1,17,1,11,1,9,1,11,1,13,1,10,1,12,1,8,1,24,1,10,2,12,1,8,2,13,1,30,1,8,1,6,1,13,2,6,3,28,1,30,1,28,1,30,1,28,2,30,1,28,4,6,1,28,2,5,29,28,10,13,1,17,5,12,1,8,2,9,1,6,1,24,1,8,3,13,1,24,1,10,1,14,1,17,1,11,1,28,5,6,1,12,1,14,1,8,1,13,1,8,1,28,1,30,1,28,12,}, {28,15,6,1,30,2,28,2,7,1,8,1,9,1,10,1,9,2,17,1,8,1,7,2,8,1,6,2,30,1,8,1,9,1,17,1,12,1,8,1,10,1,9,1,15,1,10,2,13,1,7,1,13,1,12,1,9,1,8,3,9,1,13,1,11,1,10,1,17,3,11,1,8,1,10,1,13,1,12,1,6,1,9,1,17,5,9,1,12,1,9,1,10,1,9,1,7,1,30,1,28,1,30,1,28,23,6,3,29,1,8,1,9,2,29,1,30,1,28,2,30,3,6,1,8,1,15,2,24,1,28,1,6,1,30,1,29,1,30,2,6,1,13,1,7,1,13,2,8,2,9,1,10,1,30,1,28,8,6,1,28,1,29,1,6,1,28,2,5,1219,33,1,13,1,30,2,9,1,30,1,28,1,6,2,30,1,13,4,6,1,8,1,30,1,13,1,28,3,9,1,30,1,28,4,30,1,28,2,7,1,13,1,8,2,9,1,13,4,6,1,28,4,30,1,6,2,30,1,6,2,30,1,6,1,30,1,28,16,6,1,28,1,6,1,13,1,30,1,6,1,13,1,6,1,13,6,9,1,10,1,11,1,9,1,11,1,9,1,16,3,17,3,16,1,17,1,16,2,9,5,13,1,11,1,17,1,16,2,11,1,16,3,11,1,17,2,16,1,17,2,16,1,13,1,11,1,13,1,17,6,9,1,13,1,9,1,16,2,9,3,8,2,9,1,17,44,11,1,10,1,9,2,11,1,10,1,12,2,10,1,8,2,9,1,12,1,10,2,9,1,10,1,9,1,8,2,13,1,6,1,8,1,13,1,6,2,7,1,24,2,8,1,24,1,13,2,24,1,9,1,8,3,13,1,9,1,24,1,9,1,24,1,13,1,8,1,7,1,13,1,7,3,13,1,8,1,13,3,8,1,13,1,8,3,28,4,6,1,28,1,29,1,28,1,29,1,28,25,6,1,27,1,6,6,8,1,24,1,8,1,13,1,8,1,24,1,13,1,8,1,6,3,8,1,7,1,13,1,28,1,13,4,8,2,6,1,13,1,8,1,9,1,13,2,8,1,24,2,13,1,8,1,9,2,13,2,9,5,8,1,9,2,24,2,9,1,7,1,29,1,6,1,27,1,28,8,30,1,28,7,30,2,28,4,30,1,28,3,30,1,28,3,30,1,28,4,30,1,28,4,30,1,28,2,29,1,30,1,28,2,30,1,29,1,27,1,28,1,26,1,27,1,30,2,25,1,30,1,29,2,30,2,27,1,29,1,6,2,29,1,6,7,13,1,8,1,13,1,6,1,7,1,8,1,7,1,13,2,8,1,24,1,9,1,8,2,6,1,8,1,7,1,8,2,24,1,8,1,25,2,24,1,25,1,27,1,30,1,28,1,30,1,28,3,27,1,29,1,25,2,8,2,26,2,29,1,26,1,28,14,29,1,28,5,27,1,25,1,24,1,10,1,9,1,12,1,11,1,10,1,11,1,9,2,11,1,17,1,11,1,12,1,11,2,9,1,10,2,9,4,17,1,16,1,17,1,16,1,11,3,12,1,16,2,17,10,16,1,11,1,17,1,16,1,17,1,11,1,17,5,16,2,17,2,16,1,17,7,12,2,7,1,6,1,30,2,29,1,30,1,29,1,27,1,30,1,29,2,30,1,27,1,26,1,8,1,26,1,8,1,24,1,8,2,24,2,6,1,8,1,13,2,6,1,8,1,6,3,25,1,27,1,25,1,30,1,6,1,30,1,25,3,8,1,26,1,8,1,27,1,25,1,6,1,26,1,29,1,25,2,29,1,8,1,13,1,6,1,7,3,6,1,7,1,8,1,7,1,24,1,8,1,13,1,8,2,24,1,8,3,13,1,9,8,13,1,10,1,13,1,9,1,10,2,9,2,13,3,9,1,10,1,12,1,17,1,11,1,17,3,11,1,17,2,11,1,17,1,16,1,17,3,11,2,17,3,16,1,17,2,16,1,17,3,11,2,17,1,11,1,17,2,9,1,17,2,11,1,17,4,11,1,17,7,11,1,17,1,11,1,12,1,11,2,17,2,11,1,12,2,10,1,12,1,17,1,10,1,12,2,10,1,9,1,17,1,9,2,12,1,9,1,12,1,11,1,8,1,9,1,10,1,17,1,9,1,12,1,17,1,11,2,12,1,11,1,17,1,11,1,12,1,17,7,12,2,9,1,12,1,8,1,24,1,8,1,13,1,9,1,24,1,9,1,24,1,8,1,24,1,8,1,9,2,24,1,10,1,9,1,8,1,11,1,10,1,12,1,17,1,9,1,17,11,12,1,9,1,13,2,6,1,7,3,28,2,13,1,33,1,5,11,9,1,13,1,9,1,8,1,12,1,9,1,10,5,13,1,9,2,7,4,6,1,13,4,6,2,30,1,7,1,6,1,7,1,6,1,30,1,29,1,30,1,29,1,6,1,29,1,28,1,7,1,28,1,30,1,7,1,28,1,7,1,6,1,7,1,8,2,17,1,24,1,12,3,17,6,12,1,17,5,12,1,17,3,11,1,17,1,10,1,12,2,17,2,11,1,12,5,17,1,12,1,17,1,12,1,10,1,9,1,8,1,29,1,28,1,13,1,6,1,7,2,24,1,7,2,8,2,6,1,13,2,10,1,8,1,12,1,17,11,12,1,17,1,11,1,17,2,9,1,17,2,9,1,10,1,11,1,8,1,11,1,10,1,24,1,8,2,17,1,9,1,13,2,7,1,30,1,13,2,7,1,6,2,29,1,28,6,29,1,28,2,6,1,30,2,13,1,30,1,5,30,28,10,13,1,17,2,16,2,10,1,13,1,11,1,13,1,9,1,13,2,8,2,13,3,10,1,14,1,17,1,9,1,28,5,13,1,14,1,9,1,10,1,8,1,30,1,29,1,28,13,}, {28,15,30,1,28,3,13,1,6,1,8,1,9,2,17,2,12,1,8,1,13,1,7,1,29,1,6,1,29,1,30,1,13,1,9,1,12,2,9,1,11,1,10,2,12,1,9,1,13,3,12,1,17,1,10,1,9,1,8,1,24,1,8,1,9,2,17,1,16,1,17,1,9,1,13,1,7,1,8,1,24,1,17,7,8,1,24,1,9,1,10,1,24,1,7,1,30,1,6,1,28,2,30,1,28,14,30,1,28,7,30,1,6,3,9,1,14,1,6,1,28,1,30,2,28,2,29,2,24,1,8,1,12,1,9,1,8,1,29,1,28,3,6,3,13,1,24,2,8,1,11,1,15,1,14,1,30,1,29,1,28,3,30,1,28,4,6,1,29,1,6,1,28,2,5,1218,9,1,6,1,28,2,13,2,28,2,30,1,13,1,7,1,13,3,7,1,6,3,28,3,13,2,28,7,6,1,13,1,30,1,13,6,30,1,28,5,30,2,28,1,6,1,13,1,6,3,28,15,6,1,13,3,9,1,13,1,6,1,13,12,9,1,13,1,9,3,11,1,9,1,16,2,17,3,16,1,11,3,16,2,11,1,16,2,17,2,16,1,17,2,16,1,11,2,17,1,16,1,17,2,9,1,13,1,9,2,17,5,16,1,9,1,8,1,16,1,11,1,8,2,9,2,11,1,16,1,17,1,16,1,17,13,16,1,17,24,16,1,17,4,11,2,9,3,13,1,11,2,9,1,10,1,11,1,9,3,8,2,9,1,8,2,7,1,13,2,6,1,7,1,6,1,8,1,7,1,6,2,7,1,8,2,13,1,9,1,8,1,7,1,24,1,8,1,7,1,9,1,24,1,8,1,24,1,9,1,24,2,13,3,6,2,8,1,13,1,6,1,13,1,8,1,7,1,8,1,24,1,7,1,28,3,30,2,6,3,28,26,27,1,28,1,6,2,13,1,8,2,13,1,6,1,13,1,8,1,13,4,9,1,13,1,8,2,29,2,8,1,6,1,8,2,24,1,13,1,24,1,8,1,24,1,13,1,8,1,13,1,8,3,9,1,8,2,13,1,9,1,13,2,24,1,8,1,10,1,9,3,13,2,9,2,8,2,6,1,13,1,29,1,27,1,30,1,28,23,30,1,28,4,30,1,28,2,30,1,28,5,29,1,28,5,29,1,30,3,27,1,29,1,30,1,28,1,29,1,30,1,27,1,30,1,29,2,28,2,26,1,30,2,29,3,6,2,7,1,6,1,8,1,7,1,8,1,13,1,7,2,8,2,24,2,9,2,13,1,8,2,7,1,13,1,8,1,24,1,13,1,8,2,7,1,6,1,25,1,29,1,28,3,29,1,28,5,27,1,25,3,26,2,25,1,29,2,28,21,30,2,7,1,24,1,9,1,11,1,12,1,9,1,11,1,12,1,11,1,9,1,11,1,17,1,9,1,11,2,10,1,11,1,10,2,9,2,11,2,17,1,16,1,11,2,10,1,9,1,17,1,16,1,17,7,16,1,17,4,16,1,17,4,16,1,17,4,16,1,11,1,17,4,16,1,17,4,11,2,17,1,24,1,30,1,6,1,27,1,28,1,29,1,27,1,30,1,28,1,29,1,30,2,25,1,27,1,26,1,29,1,30,1,8,1,24,1,8,2,24,1,13,2,24,1,6,2,8,1,29,1,24,1,29,1,25,1,29,1,6,1,8,1,25,1,29,2,25,4,8,1,6,1,26,2,8,2,6,2,13,1,8,2,13,2,8,1,6,1,13,2,8,1,7,1,8,2,13,3,24,1,8,1,7,1,12,1,13,1,24,1,9,1,24,1,9,2,8,1,9,4,8,1,11,1,8,1,11,2,9,1,13,1,9,3,10,1,17,3,11,1,17,5,11,1,17,3,11,1,17,7,16,1,17,1,16,1,17,2,12,1,11,1,17,3,11,2,17,2,11,1,9,1,17,7,11,1,17,3,11,2,17,1,11,1,17,3,12,1,17,1,12,1,17,1,10,1,9,1,11,1,12,3,11,1,12,1,17,1,11,1,9,3,10,1,8,1,10,1,17,1,11,1,9,2,11,1,9,1,17,1,12,1,11,2,8,1,11,1,10,1,11,1,12,1,17,1,12,1,17,7,9,1,12,1,24,1,8,4,9,1,24,1,10,2,24,1,8,1,24,1,7,1,13,1,8,1,24,1,10,1,13,1,11,1,9,2,12,1,10,1,12,1,17,8,11,2,10,1,13,1,7,1,30,1,13,1,29,1,6,1,28,3,5,9,33,1,9,2,12,1,8,1,9,2,10,1,9,1,11,1,10,2,9,2,8,1,7,1,9,1,13,1,7,4,6,1,28,1,30,1,13,1,7,1,29,1,6,1,13,1,6,1,7,1,29,1,30,2,29,1,30,5,7,1,6,1,7,2,13,1,6,1,13,2,11,1,10,1,17,1,12,1,17,13,11,1,17,4,11,1,17,2,10,1,11,1,10,1,12,1,17,1,12,5,17,1,12,1,11,1,12,1,8,2,13,1,8,1,13,1,6,1,13,1,7,1,24,1,7,1,13,1,7,2,8,1,24,1,8,1,9,2,11,1,12,1,17,11,10,1,12,3,17,3,8,1,24,1,17,1,8,1,11,1,13,1,9,3,24,1,10,1,12,1,8,1,7,1,29,1,13,1,29,1,30,1,13,1,30,1,13,1,6,1,30,1,13,1,30,2,28,1,6,1,13,1,6,1,13,1,30,1,5,33,28,10,13,1,17,3,10,1,11,2,9,1,24,1,8,1,7,1,13,2,6,1,13,1,8,2,11,1,17,2,13,1,28,5,13,1,17,1,9,1,6,1,13,1,6,1,28,14,}, {28,8,30,1,28,2,30,1,28,3,29,1,28,2,6,1,13,1,8,1,24,1,10,1,12,2,17,2,9,1,6,2,13,1,7,2,6,1,13,1,8,1,17,1,8,1,9,3,15,1,10,1,12,1,9,1,7,1,8,1,9,1,17,1,12,1,9,2,13,1,9,1,10,1,17,3,16,1,13,3,8,1,13,1,9,1,24,1,17,5,9,5,24,1,6,2,29,1,28,13,30,1,28,9,30,2,6,2,13,1,8,1,17,1,6,1,30,3,28,1,29,1,30,1,6,1,9,1,15,2,9,1,29,2,30,1,28,1,30,3,29,1,13,1,8,1,12,2,9,1,17,1,15,1,6,2,28,1,30,1,28,4,30,1,28,1,30,2,13,1,28,2,13,1,5,1216,13,2,30,1,28,2,30,1,6,1,28,1,30,1,28,1,8,1,13,3,8,1,13,3,28,3,13,2,28,7,13,1,6,2,30,1,13,1,9,1,13,3,28,5,30,1,28,1,6,2,13,2,6,1,30,1,28,13,30,2,11,1,9,1,13,1,6,1,13,1,6,1,30,1,6,1,13,3,6,1,13,1,6,5,9,1,13,1,9,1,13,2,10,1,9,3,11,1,10,1,9,1,11,1,16,2,17,1,16,2,11,1,9,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,17,4,11,1,16,2,11,1,9,1,6,1,9,1,17,7,16,1,9,1,11,1,17,1,11,4,17,2,16,1,17,18,16,1,17,28,11,2,10,1,11,1,9,1,8,1,9,2,11,1,8,2,11,1,24,1,8,1,9,1,8,1,24,1,13,1,8,1,13,3,6,1,13,1,29,2,7,2,8,2,13,1,8,1,13,3,8,4,24,1,8,1,9,1,13,1,8,1,24,2,13,3,8,1,6,1,7,1,8,1,6,1,13,1,8,2,6,1,28,4,29,1,30,4,28,25,29,1,25,1,6,1,13,2,6,1,13,1,24,1,13,1,24,1,8,1,6,1,24,1,7,1,13,3,7,2,13,2,6,1,29,1,8,5,13,1,8,1,7,1,8,1,24,2,13,2,24,1,7,1,8,1,13,1,24,1,8,1,13,2,9,1,8,2,9,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,7,1,8,1,29,1,27,1,29,1,28,18,30,1,28,3,30,1,28,3,30,1,28,6,27,1,28,5,30,1,29,2,28,2,30,1,27,1,28,1,29,3,28,1,30,1,26,1,29,1,30,1,29,1,27,1,28,1,27,1,28,1,27,1,26,1,6,1,30,1,29,1,6,1,29,1,6,4,29,1,6,1,7,2,13,1,8,1,13,1,6,1,12,1,24,1,8,2,9,1,13,2,8,2,24,1,8,1,13,1,26,1,25,1,26,1,30,1,28,8,29,1,30,1,29,1,27,1,25,2,27,2,29,1,28,19,27,1,26,1,27,1,29,2,13,2,8,1,12,1,16,1,10,1,11,1,9,1,10,2,16,1,11,1,9,1,11,2,9,1,11,1,10,1,9,3,16,2,17,1,16,1,17,1,11,1,16,1,17,1,9,1,11,1,16,1,11,2,17,1,16,1,17,7,16,1,17,2,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,4,11,1,17,3,16,2,17,2,12,1,10,1,13,1,6,1,29,2,27,2,30,2,29,1,30,1,29,1,27,1,29,1,27,1,29,1,27,1,25,1,27,1,6,1,24,6,13,2,8,2,7,1,25,3,26,1,8,1,6,1,8,1,24,1,25,2,8,3,6,1,27,1,8,1,6,1,8,2,7,1,8,2,13,2,6,2,13,1,8,1,13,2,8,1,9,1,24,2,8,2,13,1,24,1,8,1,9,2,8,1,12,1,8,1,9,1,24,1,9,1,8,1,9,7,11,2,10,1,11,2,9,2,11,1,17,1,12,1,17,1,16,2,17,1,12,3,17,5,16,1,17,4,16,1,17,8,11,1,17,2,11,2,17,1,11,1,17,3,11,1,17,4,11,1,17,2,12,1,17,4,11,1,17,1,12,1,17,1,11,1,17,2,11,1,17,1,11,1,17,1,12,1,9,1,10,1,17,1,12,1,10,1,11,3,9,1,11,1,12,1,11,1,9,1,17,1,11,1,17,1,11,1,10,1,9,1,11,1,9,2,17,1,11,2,10,1,12,1,17,5,12,1,11,1,17,1,12,3,10,1,9,1,10,1,8,1,10,1,9,1,24,3,8,1,24,1,13,1,24,1,8,2,24,2,13,2,8,1,9,1,10,1,17,2,11,1,17,6,12,1,17,1,13,3,7,1,6,1,7,1,29,1,30,2,28,1,6,1,5,8,13,1,11,1,8,1,9,5,11,1,9,2,8,1,11,1,9,1,11,2,13,1,7,1,8,1,13,3,28,1,6,1,29,2,13,1,29,1,7,2,28,1,30,2,28,1,30,3,29,1,6,1,28,2,30,1,13,1,6,1,7,2,13,1,12,1,10,2,12,1,17,16,12,2,17,1,12,1,11,1,17,1,10,1,11,1,10,1,12,1,17,1,9,1,12,1,9,1,17,1,12,2,17,1,10,1,13,1,12,1,7,2,6,2,7,1,8,1,6,1,13,4,8,1,24,1,13,1,9,1,13,1,12,3,9,1,11,1,17,6,12,1,17,3,8,1,17,3,11,1,10,1,11,1,10,1,24,1,17,1,9,1,10,1,17,1,9,3,8,2,10,1,13,1,9,1,6,1,13,1,8,1,6,1,13,2,30,1,13,2,6,1,13,1,6,1,13,1,6,1,30,1,13,2,5,34,28,10,8,1,17,3,11,1,9,1,12,1,9,1,11,1,9,1,6,1,7,1,8,1,29,1,13,1,7,1,8,1,10,1,17,2,13,1,28,1,30,1,28,3,24,1,12,1,8,1,13,2,6,2,28,13,}, {28,13,30,1,28,1,29,1,28,1,7,1,29,2,8,2,12,1,17,1,12,1,17,2,10,1,6,1,7,1,30,1,29,2,13,1,8,1,16,1,12,2,9,2,10,2,9,1,13,1,8,1,13,1,8,1,9,1,17,2,13,1,24,1,13,1,8,1,24,2,11,3,8,1,24,1,13,2,24,2,13,1,9,1,17,2,16,2,8,1,9,1,13,1,12,1,15,1,7,1,30,1,29,1,6,1,28,23,7,1,13,2,30,1,8,2,16,1,6,1,29,1,28,1,29,1,30,1,29,1,7,2,10,1,12,1,10,1,14,1,24,1,6,1,30,2,28,1,29,1,28,1,7,2,24,1,10,1,17,4,13,2,30,1,29,1,6,1,28,1,30,2,29,2,28,1,30,1,6,1,28,2,5,1216,13,1,6,1,30,2,28,2,6,1,7,1,6,1,30,1,13,1,6,1,8,1,13,1,8,1,13,3,28,3,13,1,28,5,30,1,28,2,6,2,30,1,8,1,13,5,28,7,6,2,13,1,30,1,13,1,30,1,7,1,28,10,6,2,13,2,6,1,30,1,28,11,30,2,13,1,6,2,13,3,9,1,13,1,9,2,11,1,13,1,9,5,11,2,9,2,11,1,16,4,11,1,16,3,17,1,16,1,17,1,11,1,16,1,17,1,11,1,9,1,16,1,11,2,9,1,11,1,16,1,17,5,11,1,10,1,16,2,8,1,16,1,17,1,16,2,17,2,16,1,17,19,16,1,17,27,9,1,11,1,9,1,11,1,10,1,11,1,9,1,8,2,10,3,24,2,9,1,8,1,13,1,7,1,13,1,7,2,6,1,7,1,6,1,30,1,13,2,8,1,6,1,7,1,8,1,24,2,9,1,7,1,8,1,13,2,24,1,8,1,13,1,8,3,13,2,24,1,8,1,7,2,6,1,13,2,7,1,8,1,13,1,30,1,28,3,29,1,30,1,29,2,28,3,30,1,28,21,29,2,28,1,30,1,6,1,7,1,6,2,8,1,13,1,6,1,8,2,13,1,8,1,13,1,7,1,13,2,24,1,8,1,7,2,9,1,24,2,8,1,12,1,8,1,24,1,10,1,13,1,8,1,13,2,7,1,8,2,9,1,8,1,7,1,24,1,13,2,9,3,13,1,9,2,8,2,9,2,24,1,9,1,13,2,6,2,25,1,30,1,28,1,30,1,28,40,30,2,29,1,30,1,29,1,28,1,29,1,30,1,28,1,29,1,28,2,30,1,27,1,28,1,29,1,27,1,30,2,28,1,6,1,29,2,6,1,7,1,29,1,7,3,13,1,6,1,8,1,6,1,8,2,6,1,13,1,8,1,9,1,8,1,9,1,7,1,8,1,13,1,8,1,13,1,24,1,8,2,27,3,28,12,29,1,26,3,27,1,29,1,28,17,29,2,25,2,8,1,24,1,8,1,6,1,13,1,24,1,8,1,17,1,12,1,9,1,10,1,12,1,11,1,12,1,11,2,12,1,11,1,9,1,12,1,11,2,9,1,11,1,16,1,17,4,16,1,17,1,12,1,9,1,11,1,9,2,11,1,16,1,11,1,16,1,11,1,17,2,16,2,17,1,16,2,11,2,17,1,16,1,17,1,11,1,17,2,16,1,11,1,17,1,16,2,17,1,16,1,17,3,16,1,11,1,17,1,11,1,13,1,30,1,29,3,27,1,29,2,27,4,29,1,27,1,29,1,25,2,29,1,26,1,25,2,24,1,8,1,10,1,24,1,8,1,24,1,8,2,13,1,8,1,7,1,8,1,24,1,8,3,25,1,26,1,8,1,6,1,13,1,25,1,7,1,25,1,8,2,6,1,8,3,24,1,8,1,6,1,8,2,24,1,13,1,24,1,7,1,24,2,8,1,9,1,24,1,10,1,13,1,24,2,8,2,13,1,8,3,11,1,10,2,11,1,9,3,11,1,10,1,9,1,10,1,9,1,12,1,9,1,11,1,9,1,12,1,11,1,17,6,11,2,17,1,12,1,11,1,17,1,11,1,17,1,11,1,17,3,11,1,17,5,12,1,17,7,12,1,17,1,11,1,17,1,11,1,17,1,11,1,12,1,11,2,17,1,12,1,11,1,17,2,9,1,17,2,12,1,11,1,17,4,12,1,17,2,11,1,10,1,17,1,11,1,17,2,12,1,11,5,8,1,12,1,17,1,9,1,11,3,9,1,10,1,12,3,9,1,12,1,10,2,9,1,12,1,24,1,10,1,17,6,11,1,12,1,11,1,9,1,10,1,9,1,24,2,10,1,12,1,24,1,12,1,8,1,10,1,8,1,24,1,8,1,24,2,8,1,24,1,8,2,24,1,9,2,10,1,17,7,12,1,17,2,12,1,9,1,13,1,6,1,7,1,6,1,29,1,30,1,28,3,30,1,5,7,9,1,10,2,11,1,9,1,10,1,11,1,10,1,9,3,10,1,9,2,7,1,13,1,8,2,7,1,8,2,13,2,29,1,13,1,6,2,29,2,6,1,29,2,30,1,6,1,29,1,30,2,6,1,28,1,29,1,7,1,29,1,6,1,13,1,24,1,7,1,10,1,11,1,12,1,17,2,12,1,17,16,12,1,17,1,10,1,17,1,24,1,12,1,10,1,11,1,24,1,17,1,8,1,12,1,11,1,10,1,12,1,9,1,10,1,24,1,8,1,6,1,13,1,7,1,13,2,7,2,6,1,13,2,9,1,8,2,13,1,24,1,10,1,9,1,11,1,12,1,11,1,17,1,12,1,17,1,12,1,11,1,17,7,12,1,17,2,12,1,17,1,11,1,10,1,12,1,10,1,8,1,12,1,9,1,12,1,9,1,11,1,9,1,12,1,9,1,13,1,8,3,13,1,9,1,13,1,7,1,6,1,9,1,13,3,8,1,13,3,5,37,28,10,8,1,17,3,11,2,9,1,13,1,9,1,13,1,8,1,7,1,13,1,6,1,13,2,10,1,11,2,17,1,9,1,28,5,8,1,12,1,24,2,8,1,29,1,30,1,28,13,}, {28,14,30,1,28,3,6,2,8,1,24,1,12,1,17,1,10,1,17,2,10,1,28,1,13,1,29,1,6,2,13,2,9,1,10,1,24,1,13,1,17,3,15,1,8,1,24,1,8,1,13,1,8,1,17,1,9,2,8,1,13,1,9,1,13,1,16,1,17,2,10,1,8,1,9,1,6,1,9,1,8,2,9,2,14,1,17,2,9,2,13,1,10,1,8,1,12,1,13,1,6,1,30,2,29,1,28,21,30,1,28,1,6,1,8,1,13,2,9,1,17,1,8,1,6,1,30,2,28,1,30,2,13,1,24,1,9,1,14,2,15,1,13,1,6,1,29,1,30,1,28,1,7,1,30,1,13,1,9,1,10,1,17,4,11,1,6,1,29,1,28,2,30,1,28,1,30,1,28,4,8,1,28,2,33,1,5,1213,13,1,30,1,13,1,30,1,13,1,6,1,28,1,7,1,13,1,29,1,28,1,30,1,13,4,8,2,13,1,28,3,6,1,13,1,30,1,28,4,30,1,28,2,6,2,30,1,6,1,13,4,28,2,30,1,28,3,6,1,13,2,30,1,13,2,7,1,28,2,6,1,28,10,6,1,28,15,7,1,30,3,6,2,13,3,9,1,13,2,9,3,10,1,11,2,16,1,9,2,16,1,9,2,11,1,9,1,16,1,9,1,11,1,9,1,17,2,11,1,9,1,11,1,17,1,16,1,9,1,11,1,13,4,11,1,17,7,11,1,9,1,17,1,11,2,16,2,11,3,9,1,16,1,17,11,16,1,17,4,11,1,17,32,11,1,9,1,10,1,12,1,11,1,9,1,10,2,8,1,9,1,8,3,7,2,6,1,13,1,7,1,8,1,29,1,7,1,29,1,13,1,6,1,29,1,13,1,7,1,13,1,7,1,24,1,7,1,8,1,24,1,8,1,9,1,13,1,24,1,9,1,13,1,8,1,24,1,13,2,24,1,13,1,8,2,7,1,6,2,29,1,8,3,28,5,30,2,28,25,30,2,29,1,30,1,29,1,6,2,8,1,13,1,7,2,24,1,6,1,13,1,8,1,24,1,13,3,9,1,8,1,13,2,7,1,9,1,8,3,24,1,9,1,8,1,9,1,8,1,9,1,13,4,6,1,13,1,8,1,13,1,8,1,6,1,8,2,13,3,8,1,9,1,13,1,8,1,9,3,8,2,7,1,8,1,7,2,29,2,30,1,28,41,30,1,28,3,30,1,29,3,30,2,29,1,30,3,29,1,30,1,29,3,30,1,6,1,30,1,29,2,6,1,7,2,6,1,7,2,13,1,6,1,8,1,13,2,9,1,8,1,9,1,24,1,8,2,9,1,13,3,24,1,8,1,27,2,28,14,29,1,25,2,27,1,29,1,28,19,27,2,25,1,24,1,8,1,24,2,8,2,10,1,9,2,12,1,11,3,16,1,11,2,9,1,11,1,10,1,11,1,9,1,11,2,17,5,16,1,11,1,8,1,9,2,8,1,9,1,13,1,9,2,8,1,9,2,11,1,9,1,11,1,17,1,16,2,11,1,9,1,16,1,17,6,16,3,17,1,16,2,17,3,16,2,17,2,10,1,30,1,7,1,6,1,26,1,25,1,30,1,29,1,27,3,29,1,27,1,30,1,27,2,29,1,27,1,26,2,25,2,8,2,24,1,8,1,24,1,13,1,24,1,6,1,24,1,7,2,10,1,13,1,8,1,6,1,8,1,24,4,13,1,8,1,6,1,24,1,7,2,24,1,7,1,8,1,29,1,13,1,24,1,8,1,24,1,7,1,8,1,7,1,6,1,8,1,13,1,12,1,8,1,9,1,8,2,9,1,24,2,9,1,8,2,13,2,9,1,8,1,9,1,10,2,9,1,8,1,9,1,10,1,8,1,10,1,9,3,11,1,12,1,9,2,11,1,17,4,12,1,17,8,11,1,10,1,12,1,16,1,12,1,17,4,11,2,17,4,11,1,17,2,12,1,17,1,11,1,16,1,17,2,11,1,17,1,11,2,17,2,12,1,11,1,17,3,11,1,12,1,17,2,11,1,17,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,3,11,2,17,1,12,1,11,1,8,1,11,1,9,1,12,1,10,1,9,2,12,1,11,1,10,1,12,2,11,1,17,1,10,3,12,1,9,1,12,1,8,1,12,3,17,2,10,1,17,3,12,1,24,1,10,1,17,1,24,1,12,1,9,1,12,1,24,1,10,2,8,1,10,1,13,1,8,2,9,1,8,1,24,1,8,1,9,1,24,1,8,1,11,1,10,1,17,2,12,1,17,7,12,1,9,1,6,1,7,1,13,1,6,1,7,1,30,2,28,3,5,7,11,1,9,3,11,1,10,1,9,1,11,1,9,1,11,1,9,1,13,1,8,1,9,1,13,4,6,1,8,1,6,1,7,1,13,1,29,1,6,2,7,1,6,1,28,1,6,1,28,2,29,2,30,1,6,3,30,1,29,1,6,1,13,1,6,1,9,1,24,1,17,1,10,1,11,2,12,1,11,1,17,5,12,1,17,7,12,2,17,1,12,2,17,1,11,1,17,1,12,1,17,3,10,1,17,1,8,1,17,1,12,1,11,1,24,1,8,1,9,1,10,1,8,1,9,1,13,1,6,2,7,1,8,1,6,2,13,1,7,1,24,1,9,1,8,1,9,1,11,1,12,1,17,1,11,1,24,1,10,1,11,2,24,1,10,1,11,2,10,1,17,5,10,1,17,1,12,1,10,1,12,1,17,1,12,2,9,1,12,1,17,1,12,1,9,1,10,1,12,1,9,1,8,1,9,1,13,2,9,2,8,2,13,1,8,1,13,1,6,1,9,1,13,4,5,39,28,10,13,1,17,2,10,1,9,1,10,1,11,1,9,1,10,1,24,1,13,1,6,1,13,1,6,2,13,3,16,1,17,1,9,1,28,4,30,1,8,1,12,1,9,1,8,1,13,2,28,1,30,1,28,12,}, {28,16,30,1,28,1,30,1,6,2,9,2,17,3,12,1,10,1,6,2,13,1,6,3,13,1,10,1,17,1,9,2,11,1,12,2,11,1,9,1,24,1,13,1,7,1,8,1,17,1,12,1,9,1,8,1,13,1,24,1,13,1,10,1,12,1,17,2,9,2,6,1,7,1,13,1,8,1,13,1,9,1,17,4,10,1,8,1,9,3,24,1,28,1,30,2,28,1,30,1,28,16,30,1,28,5,29,1,6,1,24,1,8,1,10,1,17,1,13,1,6,1,28,1,29,1,7,2,6,1,29,1,8,1,24,1,10,1,14,1,15,1,8,1,6,1,30,1,28,2,29,1,6,1,8,2,12,1,17,4,11,1,6,1,28,7,29,1,28,1,30,1,6,1,28,2,30,1,5,1212,13,2,6,1,7,1,30,1,6,1,30,1,28,1,30,1,8,1,6,1,30,1,13,5,8,1,13,1,30,1,28,3,13,1,28,5,6,1,28,2,13,1,6,2,13,4,6,1,28,6,30,2,13,1,6,1,13,2,6,1,13,1,28,1,6,1,28,7,30,2,13,2,28,11,30,1,28,5,6,2,30,3,13,4,9,3,11,2,13,1,9,1,11,1,9,1,8,1,16,1,9,1,11,1,9,2,11,1,9,2,16,1,9,2,17,1,10,1,17,1,11,1,13,1,9,4,16,2,9,1,17,7,16,1,9,2,11,2,16,1,17,4,11,2,17,11,16,2,17,2,11,1,17,25,16,1,17,4,11,1,17,1,11,2,12,2,11,1,12,1,9,1,12,1,9,1,8,1,9,2,24,1,9,1,13,1,7,2,13,2,6,1,13,1,6,3,29,1,30,1,6,1,7,1,13,1,8,1,6,1,24,1,9,1,13,1,8,1,7,1,10,1,7,1,8,2,9,1,8,1,7,1,8,1,13,1,8,1,13,1,8,1,6,1,7,1,13,1,6,1,8,1,13,1,9,1,29,1,28,4,30,2,28,1,29,1,28,1,29,1,28,25,27,1,29,1,30,1,6,3,13,3,8,1,9,1,13,2,8,1,7,1,8,2,13,1,8,1,13,2,8,1,7,1,8,1,24,1,11,1,8,1,7,1,8,1,24,1,6,1,8,1,6,1,8,2,13,3,8,1,6,1,7,1,13,1,8,2,13,1,11,1,9,6,8,2,9,1,8,1,13,1,8,1,13,1,29,1,27,1,30,1,28,42,29,1,30,1,28,1,29,1,28,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,29,1,28,1,30,2,25,1,27,1,28,1,7,1,29,1,6,1,29,1,6,1,7,1,13,1,29,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,10,1,8,6,24,3,27,1,29,1,28,12,30,1,27,1,25,1,8,1,26,1,25,1,28,21,30,1,26,1,25,2,24,1,8,2,24,2,10,2,11,1,10,1,16,1,11,1,10,1,11,2,9,1,11,1,10,1,16,1,11,1,16,2,17,2,16,1,17,3,9,2,8,1,9,1,8,1,13,5,7,1,9,2,13,1,17,1,11,1,17,1,11,1,17,1,11,3,17,3,16,3,17,2,11,1,17,9,9,1,7,1,29,1,30,1,29,1,27,1,25,2,29,1,27,1,25,1,30,1,29,1,27,4,29,1,27,1,25,2,8,2,6,1,24,1,7,1,24,1,13,1,24,1,8,2,6,1,8,1,6,1,13,1,8,1,13,1,24,1,13,1,7,1,24,1,8,1,24,2,13,1,8,1,24,2,13,1,8,1,24,1,7,1,8,1,7,1,13,2,24,1,13,1,8,2,24,1,8,1,9,1,24,1,9,1,24,1,8,1,9,1,24,1,9,1,8,2,13,1,9,1,8,1,9,3,12,1,8,2,16,1,9,1,8,1,10,1,8,3,9,1,16,1,11,1,9,2,11,1,17,10,11,2,12,1,17,5,11,1,17,2,11,1,17,2,11,1,17,1,11,1,17,8,16,1,17,1,11,1,17,1,11,5,17,2,12,1,17,3,11,1,17,1,12,1,17,2,9,1,17,4,12,1,11,2,12,1,17,2,10,1,17,1,11,1,12,1,11,2,9,1,12,1,11,1,9,1,10,3,11,1,10,1,12,1,10,2,11,1,9,1,11,2,10,1,12,1,11,1,9,1,11,1,12,1,17,5,12,1,17,1,10,1,12,1,24,1,12,1,11,2,24,1,10,1,24,1,9,1,13,1,24,2,13,1,9,1,13,1,8,2,10,1,7,1,10,1,8,1,10,1,11,1,9,1,17,1,11,1,17,7,11,1,9,1,13,1,6,4,30,1,28,4,5,5,9,3,24,1,17,1,11,3,9,6,8,1,13,2,8,1,13,1,8,2,13,2,6,1,13,1,7,1,6,1,29,1,6,1,13,1,29,1,6,1,30,2,7,1,29,1,28,2,30,1,29,1,6,1,13,1,6,1,7,1,8,1,10,2,12,1,10,1,11,1,12,1,17,6,11,1,17,1,12,1,17,7,10,1,12,3,10,1,17,4,24,2,10,2,12,1,8,1,10,2,8,1,13,1,24,1,8,1,13,2,7,1,13,1,7,1,13,1,7,1,13,1,8,2,12,1,11,1,10,1,17,1,12,2,17,4,12,1,9,1,10,1,9,1,8,1,17,1,10,1,12,1,17,1,10,1,17,1,10,2,17,1,12,1,10,1,9,1,11,1,17,3,11,1,12,2,17,1,9,3,8,1,9,3,13,1,9,1,10,1,9,2,13,1,6,1,13,2,9,1,5,42,28,9,30,1,9,1,17,4,9,1,12,1,9,3,8,2,13,1,30,1,6,1,8,1,24,1,12,1,17,1,12,1,13,1,28,4,29,1,8,1,9,1,12,1,7,1,8,1,6,1,30,1,28,13,}, {28,9,30,1,28,7,30,1,28,1,13,2,24,1,10,1,17,1,12,1,17,1,12,1,9,1,13,1,6,1,29,1,6,2,29,1,8,1,12,1,17,1,24,1,9,1,16,1,12,1,10,1,8,1,11,1,9,1,13,1,6,2,17,1,9,2,13,1,8,2,7,1,8,1,16,2,17,1,9,1,8,3,13,1,6,1,8,2,16,1,17,3,16,1,10,1,24,1,12,1,9,1,13,1,29,1,30,1,6,1,30,1,28,14,30,1,28,8,29,1,7,1,8,1,9,1,17,2,10,1,7,1,6,2,7,2,13,1,6,1,8,2,24,1,14,1,10,1,8,1,6,1,29,1,30,1,6,1,30,1,8,1,24,1,9,1,8,2,11,1,9,1,14,1,30,1,6,1,28,10,13,1,28,2,13,1,5,1211,6,2,7,1,6,1,29,1,6,1,28,1,30,1,7,1,13,1,7,1,28,2,6,1,8,2,13,2,8,1,7,1,28,3,30,2,28,8,13,1,7,2,6,1,13,2,6,1,28,6,13,1,6,1,29,1,30,1,13,1,6,1,30,1,6,1,28,1,6,1,28,6,30,1,6,1,30,2,28,12,30,1,13,1,28,1,13,1,6,2,13,4,9,1,13,2,9,5,16,1,11,2,16,1,11,1,16,1,11,2,9,2,11,3,13,1,9,1,11,1,9,3,11,1,9,1,11,3,16,2,11,1,9,1,11,2,17,8,11,1,9,1,11,1,9,1,11,2,17,3,9,1,10,1,16,1,17,6,11,1,17,1,16,1,17,2,16,1,17,35,11,1,17,1,11,1,12,1,10,1,11,1,10,1,9,1,11,1,10,1,24,1,9,1,24,2,13,2,7,1,6,1,13,2,8,1,13,1,6,1,7,1,6,2,30,1,6,1,29,1,7,1,13,1,24,2,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,8,2,9,1,24,2,8,3,13,1,7,2,13,3,28,4,29,1,30,5,29,1,28,24,30,1,29,1,30,1,8,1,6,1,13,1,6,1,7,1,13,1,7,1,24,1,8,1,13,1,8,1,13,5,7,1,13,2,6,1,13,1,24,1,8,1,13,1,8,1,13,1,24,1,8,1,13,3,24,1,13,1,9,1,13,1,8,2,13,2,8,1,13,1,24,1,13,1,8,1,13,1,9,2,8,2,13,1,9,1,13,2,24,1,13,2,6,1,7,1,30,2,28,39,30,1,28,2,30,2,29,1,28,1,29,1,28,1,29,1,28,1,27,1,29,1,27,1,28,1,29,1,30,3,29,1,6,2,29,1,7,1,6,1,7,3,29,1,13,1,7,1,8,2,13,2,8,1,7,1,9,1,8,1,9,1,8,1,9,2,8,1,7,1,24,3,25,1,29,2,30,1,28,11,29,1,27,1,25,1,8,1,25,1,29,1,28,1,30,1,28,19,30,1,29,1,27,2,8,2,24,1,9,1,10,1,9,2,17,1,11,1,17,1,11,1,9,1,10,1,9,2,17,1,11,3,17,1,11,1,17,4,16,1,9,3,30,1,13,3,7,1,13,1,8,1,7,1,13,1,9,1,8,1,9,1,10,1,8,1,17,4,11,1,9,1,11,1,16,1,11,5,17,9,16,1,17,1,10,1,6,1,24,1,7,1,6,1,27,2,28,1,26,1,27,2,29,1,27,2,30,1,29,1,25,1,30,1,8,1,29,1,26,1,25,1,6,1,25,1,6,1,8,1,24,1,8,1,24,1,7,1,24,2,6,1,7,1,8,1,29,1,7,2,8,3,24,2,8,1,24,2,13,1,24,1,13,1,8,1,7,1,8,1,13,1,9,1,24,2,8,1,7,1,9,1,8,1,24,1,13,1,8,1,24,2,8,1,9,2,8,1,9,1,24,1,9,1,24,1,8,1,9,1,8,1,9,4,11,1,9,1,11,1,9,1,11,1,9,1,11,1,13,1,9,1,11,1,12,1,9,1,8,1,16,1,17,8,12,1,17,1,11,1,17,1,11,1,17,8,11,1,17,1,11,2,17,2,12,1,17,4,16,1,17,1,16,1,12,1,17,5,11,2,17,1,11,1,17,3,11,1,12,2,17,1,12,1,11,2,17,2,11,1,17,3,11,1,17,2,12,1,17,4,11,1,12,1,11,4,12,1,9,2,11,1,12,2,10,1,12,3,11,1,12,1,10,1,9,1,11,1,10,2,11,1,9,1,12,1,17,5,12,3,17,1,12,1,17,1,10,1,24,1,11,1,10,1,8,1,24,1,9,1,12,1,8,3,24,1,13,1,24,2,13,1,24,1,8,1,24,2,9,1,10,1,12,1,17,4,12,1,17,1,12,1,10,1,9,1,8,1,13,1,30,1,6,2,28,4,5,5,9,1,8,1,9,1,10,1,9,2,10,1,9,1,24,1,10,1,9,2,10,1,24,1,8,1,7,1,13,1,6,2,7,1,6,1,7,1,30,1,13,1,6,2,29,1,13,1,6,2,28,1,30,1,6,3,30,1,6,4,9,1,7,1,10,1,13,1,17,1,24,1,12,4,17,15,12,1,17,1,9,1,17,1,12,1,17,1,12,1,17,2,12,3,17,1,10,1,24,2,11,1,24,2,8,1,10,1,8,1,24,1,13,2,8,1,13,1,8,1,24,3,9,1,12,1,9,1,11,1,12,1,17,8,12,1,10,1,9,1,12,1,9,2,10,2,17,1,12,1,17,1,12,1,17,1,10,1,11,1,12,1,10,1,9,2,11,1,9,1,17,1,9,2,13,1,9,1,13,2,9,1,16,1,10,1,9,2,13,1,9,1,13,1,9,1,13,1,33,1,5,43,13,1,28,9,6,1,11,1,17,2,12,1,17,2,9,1,24,2,13,1,24,1,8,1,24,1,13,3,9,1,8,1,17,2,13,1,28,4,29,1,10,1,9,1,10,1,13,2,6,1,28,14,}, {28,17,30,3,7,1,12,2,17,1,12,1,10,1,9,1,10,1,6,1,13,1,7,1,13,1,6,1,7,1,13,1,16,1,17,1,11,1,10,1,9,2,10,1,9,1,17,1,9,1,8,1,29,1,8,1,12,1,17,1,9,2,8,1,7,1,8,1,24,1,12,1,17,2,8,1,9,1,8,1,7,1,13,2,9,1,12,1,17,3,12,1,11,1,9,1,13,1,17,1,24,1,13,1,28,1,29,1,28,1,29,1,30,1,28,17,30,1,28,1,30,1,28,1,29,1,30,1,6,1,29,1,13,1,9,1,17,1,11,1,29,1,6,2,30,1,6,1,29,2,8,1,24,2,10,1,8,1,13,1,30,1,8,2,13,1,10,1,9,1,24,1,9,1,13,3,9,1,11,1,6,1,29,1,28,9,30,2,28,2,13,1,5,1209,13,1,30,1,13,1,30,1,6,1,30,2,28,1,30,1,13,2,6,1,28,2,6,2,8,1,13,4,28,3,30,1,13,1,6,1,28,7,6,2,13,4,28,5,30,3,28,1,13,3,7,1,13,1,7,1,6,1,7,1,30,2,28,4,30,3,6,1,28,7,6,1,13,3,9,3,11,1,9,2,13,1,9,1,13,5,6,1,13,1,9,1,13,1,9,3,11,1,9,1,16,3,17,3,11,1,17,1,9,1,11,4,9,4,16,1,9,2,11,1,17,1,11,1,9,1,11,1,17,10,11,3,9,2,16,1,11,1,17,2,9,1,16,1,10,1,9,1,17,8,16,1,17,3,16,1,17,28,16,1,17,2,11,1,16,2,11,1,17,1,9,1,11,1,10,1,9,5,11,1,8,2,24,1,8,1,6,1,29,1,6,1,8,1,6,1,7,1,6,1,13,2,28,1,6,1,30,2,6,2,13,1,8,4,13,1,8,2,13,1,9,1,24,2,8,1,9,1,13,1,8,2,13,1,8,1,13,1,24,1,8,1,13,1,8,1,13,1,29,1,28,4,30,1,28,1,27,1,29,1,30,1,27,1,30,1,28,22,30,1,27,1,28,1,6,1,30,1,29,1,6,1,7,1,13,1,7,1,24,2,13,1,8,1,7,1,9,1,24,1,13,1,6,1,24,1,8,1,13,1,6,2,8,2,13,1,8,2,10,1,8,1,13,2,24,1,8,1,7,1,13,1,6,1,7,1,6,3,13,2,7,1,13,2,9,1,8,1,9,1,8,1,13,1,9,1,13,1,8,1,13,2,24,1,9,1,13,2,6,1,7,1,6,1,29,1,28,42,30,1,28,1,29,2,30,2,29,3,28,1,27,1,29,1,30,1,29,1,26,1,27,1,25,1,29,2,7,1,6,2,29,1,6,1,13,1,8,1,13,1,7,1,8,1,13,2,8,2,9,1,13,1,9,3,8,1,13,1,9,1,13,1,8,1,24,1,10,1,24,1,27,1,29,1,28,11,29,1,25,1,27,1,25,1,26,2,29,1,30,1,28,21,27,1,26,1,27,1,6,1,8,2,10,1,9,1,8,1,9,1,17,1,10,1,9,1,11,1,9,3,10,1,17,1,11,1,16,1,17,1,16,2,17,2,16,1,12,1,10,1,11,1,13,1,8,1,7,2,6,1,13,2,7,1,8,1,13,1,24,1,9,2,13,1,9,1,8,1,10,1,17,2,11,1,17,1,11,1,10,2,11,4,9,1,11,2,17,1,16,4,17,1,16,1,17,2,9,1,6,1,8,1,6,1,7,1,25,3,27,1,25,3,27,2,29,1,26,2,30,1,25,1,29,2,8,1,25,1,6,1,7,1,8,1,7,1,13,1,7,1,24,1,8,1,6,1,24,2,7,2,13,1,8,1,7,1,24,1,8,1,24,2,8,1,24,1,13,1,8,1,13,1,8,1,6,2,8,1,7,2,24,3,7,1,12,1,8,1,10,1,12,1,17,1,10,1,9,1,8,2,24,1,13,1,9,2,6,1,8,1,9,1,8,1,9,1,10,1,9,3,11,1,16,1,10,2,8,1,9,2,8,1,9,1,10,1,11,1,10,1,16,1,11,1,17,7,11,1,17,7,11,3,17,3,12,1,17,1,11,1,17,4,11,1,17,2,11,1,17,6,12,1,17,4,11,1,17,2,11,1,17,1,11,1,17,4,12,1,17,1,10,1,17,1,12,1,11,2,17,2,12,2,17,3,11,1,17,1,12,1,17,1,12,1,11,1,17,1,10,1,17,1,10,1,11,2,8,1,11,1,12,1,11,3,12,1,9,2,11,3,12,1,9,1,11,1,12,1,10,1,12,1,17,3,12,1,17,1,12,1,17,1,10,1,17,2,12,1,24,1,9,1,8,1,10,1,9,1,8,1,24,1,8,2,9,1,8,1,13,1,8,1,13,2,24,2,13,1,9,2,10,3,12,1,17,4,24,1,9,2,13,1,7,1,30,1,6,2,28,3,5,4,11,1,9,1,11,1,9,1,11,1,9,1,12,1,11,1,9,2,8,1,9,1,10,1,9,1,8,2,13,5,30,1,8,1,13,1,7,1,13,1,7,1,8,1,7,2,6,2,30,1,6,1,30,1,6,1,28,1,6,1,29,1,7,2,13,1,8,1,12,1,9,1,12,1,9,1,12,1,11,1,17,8,12,1,17,2,12,1,17,4,11,1,17,2,10,1,12,1,17,1,10,1,12,3,24,1,12,1,24,1,12,1,24,1,12,1,24,3,10,1,8,1,24,1,10,3,24,1,10,1,24,1,11,1,10,1,9,1,12,1,9,1,17,1,12,2,17,7,12,1,17,1,9,3,8,1,9,2,8,1,10,1,17,1,11,1,17,1,10,1,12,1,24,1,10,2,24,2,9,1,13,1,9,1,11,1,5,60,6,1,28,10,16,1,17,4,10,1,17,1,8,1,9,1,8,1,6,1,8,1,6,1,29,1,13,1,8,2,10,1,17,2,13,1,28,3,30,1,28,1,24,1,17,1,9,1,13,1,30,2,28,2,30,1,28,10,6,1,}, {28,17,29,1,30,1,29,1,8,1,10,1,11,2,17,2,9,2,29,1,6,2,29,1,7,1,6,1,13,1,8,1,17,1,16,1,11,2,9,2,16,2,24,1,13,1,6,1,12,1,16,1,17,1,9,1,13,1,7,1,13,3,9,1,17,1,12,1,9,1,13,1,29,1,8,2,9,2,17,6,8,1,12,1,11,1,9,2,30,1,6,1,30,1,28,1,30,2,28,12,30,1,28,1,30,1,28,2,30,1,28,5,13,1,6,1,17,2,24,1,6,5,28,2,7,1,24,1,9,2,13,1,6,1,29,1,7,1,8,2,24,3,13,3,8,1,24,2,8,1,6,1,30,1,28,2,30,2,28,4,29,1,13,1,28,2,13,1,5,1208,6,1,7,1,6,1,7,1,13,1,29,1,30,1,28,1,30,1,13,1,9,1,28,4,7,1,13,1,7,1,6,1,8,1,30,1,7,1,28,3,13,2,30,1,28,7,30,1,6,1,13,1,6,1,13,1,30,1,28,4,30,1,28,1,30,2,13,4,6,1,13,1,29,1,30,1,6,1,30,1,28,4,6,2,30,2,28,6,13,1,16,1,17,1,16,1,9,1,13,1,9,1,30,1,28,1,6,1,28,1,13,1,30,1,6,5,30,1,6,1,30,1,13,2,6,1,13,1,9,1,6,1,9,1,11,1,9,2,17,1,9,1,17,1,16,1,17,1,16,5,17,3,16,2,17,1,16,2,11,1,16,1,17,1,16,1,17,9,11,5,9,1,11,1,17,2,16,1,11,1,17,1,16,1,17,5,16,1,17,37,16,1,17,2,11,1,16,1,17,2,11,1,17,1,12,2,9,1,11,1,9,2,8,2,10,1,13,1,8,1,13,1,7,2,6,1,13,2,8,1,13,1,7,2,30,1,6,1,29,1,30,1,7,1,6,1,24,1,29,1,6,1,24,1,8,1,13,1,6,1,24,1,8,1,7,1,8,5,13,1,8,1,24,1,13,1,8,1,13,1,8,2,30,1,28,4,30,1,28,1,30,5,29,1,27,1,28,17,30,1,28,2,30,1,28,3,27,1,30,1,7,1,6,1,8,1,7,1,8,1,29,1,9,1,8,1,7,1,13,1,8,1,13,1,8,1,7,1,13,1,7,2,8,1,6,1,13,4,8,3,10,1,8,2,29,1,13,1,6,3,7,1,13,1,6,1,13,1,7,1,13,1,7,1,13,1,8,1,9,1,8,2,6,1,9,1,8,2,13,1,9,1,8,1,13,1,24,1,13,1,6,1,7,1,30,1,28,1,30,1,28,40,30,1,28,2,30,3,28,1,27,1,29,1,30,1,29,1,27,1,29,1,28,1,29,1,28,2,6,1,7,1,29,1,7,1,29,1,6,1,7,1,13,1,6,2,8,1,13,1,6,1,8,1,9,1,24,1,8,1,13,2,10,1,9,1,8,1,9,1,8,6,29,1,28,12,30,1,29,1,25,5,28,20,29,1,30,1,27,1,26,3,6,1,8,1,13,1,9,1,12,1,17,2,11,4,9,3,12,1,16,1,11,1,10,1,11,2,16,2,17,2,11,1,9,2,8,1,13,4,8,1,13,1,9,1,24,1,9,1,24,2,8,3,9,1,11,1,12,1,17,1,16,1,17,1,16,1,11,1,16,1,11,2,16,1,10,1,11,1,9,2,16,1,11,1,16,1,17,1,11,1,17,4,9,1,6,2,7,1,25,1,29,1,8,1,29,1,26,1,25,1,26,1,29,1,25,1,29,1,27,4,29,1,27,1,26,1,27,1,26,1,30,1,8,1,13,2,7,1,8,1,29,1,8,1,24,1,8,1,29,1,8,1,7,1,13,1,8,3,7,1,8,2,13,1,8,1,10,1,8,1,13,5,8,1,24,1,8,1,24,1,9,1,8,2,10,1,12,1,9,1,12,1,9,2,12,3,10,2,24,1,9,1,13,1,9,2,6,1,16,1,9,2,11,2,16,1,11,2,10,1,11,1,9,4,16,2,9,1,11,3,17,7,11,1,17,2,11,1,17,1,11,1,17,1,11,1,17,9,16,1,12,2,17,10,11,1,17,3,11,1,17,4,11,1,17,2,11,1,9,1,17,1,11,2,17,1,11,1,17,2,11,1,17,2,12,1,17,1,11,1,12,1,17,5,12,1,17,1,11,1,17,1,10,1,12,1,11,1,17,1,10,1,11,1,12,1,11,1,10,2,12,2,9,1,11,1,12,1,9,1,12,1,9,1,12,3,17,5,12,1,17,1,12,1,17,1,10,1,9,2,17,1,9,1,10,1,8,1,10,1,9,1,10,1,24,2,6,1,10,1,24,1,8,1,24,2,8,1,9,1,8,1,24,1,8,1,12,3,17,4,12,2,9,1,13,1,7,1,29,1,7,1,6,1,29,1,28,2,5,4,9,1,8,1,11,4,9,3,8,2,11,1,8,1,11,1,13,3,8,1,13,1,8,1,13,2,7,1,13,1,29,1,8,1,29,1,13,1,30,1,7,1,6,1,29,1,6,1,7,1,6,1,30,1,6,2,29,1,6,1,13,2,10,1,11,1,10,1,17,1,11,2,17,17,12,1,17,3,10,1,17,1,12,1,10,1,17,1,8,1,11,2,10,1,12,3,10,4,7,1,8,1,9,2,8,2,9,1,17,1,11,1,10,1,11,1,10,1,17,5,12,1,17,3,12,1,17,3,10,1,17,1,8,1,24,1,13,2,17,1,10,1,17,1,9,1,12,1,11,1,12,1,24,1,12,1,10,1,9,1,12,1,11,3,16,1,5,60,6,1,28,10,11,1,17,2,12,1,9,3,8,1,24,2,7,1,13,1,6,2,7,1,6,1,9,1,15,1,17,1,11,1,6,1,28,4,30,1,11,1,12,1,8,1,6,2,13,1,28,1,30,1,28,12,}, {28,17,29,1,30,1,28,1,13,1,9,1,10,1,12,1,11,1,17,2,15,1,13,2,7,1,30,1,28,1,29,1,8,1,16,1,17,1,9,1,11,1,10,1,16,1,13,1,16,1,17,1,11,1,9,1,7,1,13,1,16,1,12,2,13,3,29,1,9,1,8,1,10,1,17,1,11,1,13,1,9,1,8,1,9,1,10,1,9,1,17,4,16,1,17,1,10,1,9,1,17,1,12,1,13,1,6,1,28,1,6,1,30,1,28,18,30,1,28,1,29,1,30,1,29,1,30,2,6,1,8,2,17,1,8,1,7,1,6,1,30,1,28,1,29,1,30,2,13,1,8,1,9,1,8,1,9,1,6,1,13,1,24,2,8,2,6,2,29,1,6,1,7,1,9,1,24,1,8,1,7,1,30,2,28,9,13,1,28,2,13,1,5,1207,13,2,30,1,13,2,7,1,28,1,30,1,28,1,13,1,8,1,28,3,30,2,7,1,13,4,28,4,30,1,13,1,30,1,28,7,6,2,28,1,30,1,13,1,28,7,6,3,13,3,6,3,30,1,13,1,28,1,30,1,28,3,6,1,13,2,6,1,28,5,13,1,11,2,9,1,13,3,30,1,28,2,30,1,28,2,30,1,6,1,28,1,13,1,8,1,13,1,6,1,13,3,6,1,13,2,30,1,13,1,30,1,28,1,6,1,13,1,6,1,9,5,17,1,16,3,17,7,16,1,17,10,16,1,11,1,16,1,11,1,9,1,11,1,9,1,13,1,11,1,9,3,17,3,11,1,16,1,11,1,17,4,16,1,11,1,17,1,16,2,17,13,16,1,17,18,16,2,17,2,16,2,17,2,11,3,9,1,10,1,8,2,11,1,9,1,13,2,8,1,13,1,6,1,13,1,6,1,8,1,6,1,7,2,6,1,7,1,13,1,6,1,29,1,28,1,30,1,7,1,6,1,7,1,10,1,13,1,8,2,13,1,8,2,24,2,8,3,24,3,8,2,24,2,13,2,8,1,28,5,30,1,29,1,28,2,27,1,28,1,30,1,29,1,25,1,30,1,28,16,30,1,28,1,30,2,29,2,27,1,29,2,7,1,29,1,13,1,6,1,24,1,13,1,7,1,8,1,13,1,8,3,6,1,13,1,7,1,13,1,8,1,6,2,13,2,8,2,13,1,8,1,24,1,8,1,13,1,8,1,13,6,6,1,13,1,6,1,13,1,6,1,13,1,8,1,9,1,13,1,9,1,8,2,9,1,8,1,9,1,8,1,13,1,24,1,13,1,8,1,6,3,30,1,29,2,28,1,29,1,28,37,29,4,28,1,30,1,29,1,28,1,27,1,30,1,28,1,27,1,28,1,30,1,29,1,30,1,25,1,29,1,6,1,30,1,6,1,13,1,7,1,13,2,8,1,13,1,7,1,13,1,7,1,8,1,13,2,8,1,13,1,8,1,9,1,13,1,9,3,13,2,8,1,24,2,26,1,29,2,30,1,29,1,28,9,29,1,27,2,26,1,27,1,25,1,27,1,29,1,28,19,27,2,25,2,29,1,26,1,7,1,13,1,8,2,12,1,9,1,10,1,11,2,9,2,11,1,8,1,11,1,10,1,16,1,11,3,16,1,17,1,16,1,17,1,11,1,10,1,8,3,13,2,7,1,8,1,9,4,8,1,13,1,24,1,8,1,24,1,8,1,9,1,8,1,10,1,16,2,17,2,16,1,17,1,11,3,9,5,11,3,16,1,11,1,17,3,11,1,29,1,7,1,29,1,7,1,6,1,25,1,26,1,25,1,26,1,27,1,26,1,25,1,29,1,27,2,26,1,25,1,27,2,26,1,27,1,26,1,25,1,6,2,7,1,8,1,13,1,6,1,7,1,13,3,7,1,13,1,7,2,6,1,29,1,13,3,10,1,13,2,24,1,13,1,8,1,24,1,8,1,13,1,24,1,13,1,8,1,24,2,8,1,11,1,12,2,24,1,12,1,9,1,17,1,10,1,9,1,11,1,9,3,24,1,10,1,24,1,8,3,11,2,10,1,17,1,11,1,10,1,11,2,9,1,11,1,9,2,11,2,17,1,9,1,17,1,11,1,17,10,12,1,17,2,12,1,17,1,12,1,17,5,11,1,17,1,11,2,17,4,11,1,12,1,17,1,11,1,12,1,17,6,11,1,17,2,11,1,17,5,12,1,17,1,12,2,17,1,11,1,17,1,11,1,12,1,17,1,11,1,17,6,12,2,17,1,11,2,17,1,12,1,11,1,17,1,10,2,9,1,12,1,11,2,12,1,24,1,9,1,12,2,9,1,24,1,17,1,11,1,12,2,11,1,12,3,10,1,12,1,10,1,17,7,12,2,9,1,17,1,12,3,10,2,9,2,8,1,10,1,24,1,13,2,8,1,13,1,8,1,24,2,9,1,13,1,10,1,12,1,17,5,12,1,10,1,24,1,7,1,6,1,7,1,6,1,30,2,28,1,5,3,9,1,11,1,8,1,11,1,10,1,12,1,11,1,10,1,12,1,11,1,9,1,12,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,3,6,1,13,1,8,1,30,1,13,2,6,2,30,1,29,1,6,2,28,1,29,1,13,1,6,2,8,1,13,1,8,1,9,2,24,2,10,1,12,1,11,1,17,7,12,1,17,5,12,1,17,2,10,1,17,1,12,1,10,1,12,2,17,3,10,1,17,1,11,1,9,1,11,1,12,2,17,1,10,4,12,1,17,1,10,1,12,1,11,1,12,1,10,1,17,1,12,1,17,3,12,1,17,14,8,1,17,1,10,1,9,1,17,1,9,1,11,1,9,1,17,1,10,1,11,1,9,1,11,2,9,1,8,1,9,1,13,1,7,1,16,1,5,60,13,1,28,10,9,1,16,1,17,2,9,2,10,1,24,1,8,1,13,1,8,1,13,1,6,1,30,1,6,1,8,1,13,1,17,3,30,1,28,4,29,1,9,1,11,1,8,1,6,2,13,1,28,14,}, {28,15,29,1,30,2,29,1,6,1,8,1,24,1,9,1,17,2,11,1,9,1,14,1,8,1,6,4,29,1,30,1,13,1,17,2,9,1,11,1,9,1,17,1,14,2,17,1,13,2,24,1,12,1,14,1,12,1,24,1,13,4,10,1,17,2,15,1,13,2,7,1,8,1,9,1,12,2,17,5,12,1,9,1,12,2,15,1,13,1,29,2,30,1,28,23,30,2,28,1,6,1,7,1,17,1,15,1,6,1,30,1,28,1,29,1,30,1,28,1,6,1,24,2,10,1,9,1,8,1,6,1,24,1,9,1,13,1,8,1,13,1,6,1,30,1,6,1,13,2,24,2,10,1,8,1,7,1,28,10,6,1,13,1,28,1,13,1,5,1205,13,1,7,1,30,1,13,1,7,1,6,1,29,1,28,3,6,1,13,1,28,5,6,1,13,1,6,1,13,1,8,1,28,5,7,1,28,9,30,2,28,1,13,2,28,5,30,1,29,1,13,1,6,1,8,1,7,1,30,1,6,3,28,1,6,1,13,1,6,2,28,3,13,1,9,1,7,1,28,4,6,1,9,1,16,1,11,2,9,1,13,2,28,12,30,1,6,1,30,1,28,1,30,1,6,2,13,1,6,1,13,1,6,1,13,1,6,2,13,4,9,2,13,1,9,2,16,1,11,1,16,1,17,1,11,1,13,1,9,1,11,1,9,1,13,1,6,1,13,1,11,2,9,1,16,1,17,1,11,1,9,1,11,2,13,1,9,1,11,2,9,5,16,1,17,1,16,1,17,1,16,1,17,4,16,4,17,36,16,1,17,2,16,1,17,3,16,1,11,1,17,1,11,2,9,1,24,1,8,3,13,2,6,1,30,1,6,1,7,1,13,2,7,2,8,1,7,1,29,2,28,1,30,1,28,1,6,1,7,1,13,1,7,1,13,1,24,1,13,1,8,1,9,2,8,1,13,1,9,1,10,1,24,1,13,1,24,1,9,1,8,1,9,1,24,1,8,1,24,1,8,1,13,1,28,6,29,1,30,2,28,3,29,3,27,1,30,1,28,16,27,1,30,1,27,1,30,1,6,2,25,1,6,1,7,1,8,2,13,1,8,1,7,2,8,1,6,1,13,1,7,1,13,4,7,1,13,1,7,1,6,1,13,2,8,1,13,1,8,3,7,1,8,1,9,1,6,1,7,3,13,1,6,1,13,1,7,1,8,1,13,1,7,1,13,1,9,1,6,1,9,1,8,2,9,1,13,1,8,1,9,1,13,1,8,1,24,1,6,1,8,1,6,2,29,1,28,2,29,1,28,40,30,3,29,1,27,1,25,1,28,1,29,1,28,2,26,1,30,1,6,1,29,2,28,1,7,1,6,1,29,1,13,1,6,1,13,1,7,1,6,2,7,1,24,1,13,2,9,1,8,2,13,1,8,2,9,1,8,1,9,1,8,1,13,1,9,1,8,2,9,1,29,1,27,2,28,1,29,2,28,9,30,1,27,1,25,1,27,1,25,1,8,1,27,1,29,1,28,15,30,1,29,1,30,1,26,1,6,1,25,1,8,1,7,1,13,2,8,1,24,2,9,1,11,1,12,1,10,1,11,2,10,3,9,1,17,1,11,1,9,1,11,1,16,2,17,1,16,1,11,2,9,2,13,2,9,5,24,1,8,1,24,1,13,2,8,1,6,1,13,2,10,1,8,1,13,1,11,1,17,1,16,1,17,1,16,1,10,1,16,1,9,2,8,1,9,2,8,1,9,3,13,1,11,2,17,1,11,3,7,3,6,1,7,1,6,1,25,2,27,1,25,2,26,1,29,1,25,1,27,1,25,1,29,1,25,1,29,1,27,1,25,1,29,1,6,1,27,1,7,1,13,1,7,1,29,1,24,1,7,2,13,1,6,1,8,1,7,1,8,1,13,1,8,2,7,1,24,1,8,1,10,1,9,1,24,2,8,1,9,1,13,1,9,1,24,1,8,1,9,2,24,1,12,1,10,1,8,1,24,1,17,1,12,1,10,1,9,2,8,1,9,1,10,1,9,3,10,2,11,1,10,1,9,3,10,1,11,1,16,1,11,2,16,2,11,1,9,4,16,4,17,1,11,1,17,12,11,1,17,2,11,1,17,6,11,1,16,1,17,6,11,2,17,3,11,1,17,4,12,1,17,2,12,1,17,2,9,1,17,1,12,1,17,1,12,1,11,1,17,1,11,2,17,1,11,1,17,2,12,1,17,4,11,1,17,1,12,3,17,1,12,1,11,1,12,1,10,1,12,1,11,2,9,1,12,1,11,1,12,1,10,3,9,1,11,1,12,1,11,1,12,1,11,1,9,1,11,4,24,1,10,2,12,1,10,1,17,7,11,1,17,2,12,2,17,1,10,1,12,1,17,1,11,1,12,1,24,1,8,1,9,1,8,1,24,2,13,1,24,1,8,2,9,1,10,1,12,1,17,1,12,1,17,3,12,1,24,1,8,1,13,1,7,2,6,1,28,2,5,3,16,1,8,1,11,1,12,1,10,1,12,1,17,1,10,1,11,1,9,1,8,1,9,2,8,1,9,1,24,1,7,1,8,1,13,1,7,1,13,1,8,1,7,1,13,1,7,1,6,2,8,1,30,1,7,1,28,1,7,3,29,1,13,1,28,1,13,1,6,1,13,2,9,1,11,1,8,1,9,1,11,1,10,1,11,1,12,2,17,2,12,1,17,2,10,1,17,5,12,3,17,2,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,1,24,1,12,1,9,1,12,2,10,1,12,2,10,1,12,1,10,1,12,1,11,1,12,1,17,1,10,1,11,1,17,2,10,1,17,14,9,1,12,1,9,2,10,1,9,2,8,1,17,1,12,1,9,1,12,1,9,1,10,1,24,2,13,1,30,2,9,1,5,60,30,1,28,9,6,1,11,1,14,1,17,1,12,1,10,1,12,1,9,2,10,1,13,3,29,1,7,3,9,2,17,2,30,1,28,5,9,1,10,1,8,1,13,2,29,1,30,1,28,13,}, {28,19,13,2,12,1,16,1,17,5,8,1,7,1,6,1,7,1,29,2,6,1,9,1,17,2,11,1,17,2,12,1,17,1,14,1,15,1,13,1,8,1,6,1,14,1,15,1,16,1,13,1,30,2,8,1,7,1,16,1,17,2,9,1,8,2,13,1,6,1,9,1,24,1,8,1,11,1,17,8,11,1,6,1,28,2,30,1,28,25,29,1,6,1,8,1,12,2,8,1,6,1,29,1,30,1,6,1,30,1,28,1,8,1,9,1,8,1,10,1,8,1,13,1,8,2,13,1,8,1,30,1,29,2,13,1,8,2,24,1,8,1,15,1,8,1,28,1,29,1,28,7,30,1,28,1,13,1,28,2,6,1,5,1204,9,1,6,1,13,2,7,1,6,2,30,1,28,2,6,1,7,1,28,4,8,1,13,2,9,1,13,1,6,2,28,5,30,1,28,10,30,1,13,1,28,5,30,1,6,3,13,1,8,1,6,2,13,1,30,2,13,1,6,2,13,1,6,1,28,1,13,1,30,1,13,3,28,4,13,1,9,1,11,1,9,1,13,1,30,2,28,12,30,1,6,1,28,4,30,1,28,1,30,1,28,1,13,2,6,1,13,1,7,1,13,3,11,1,13,1,9,1,13,2,9,3,13,1,9,2,13,3,9,1,13,1,8,1,13,5,8,1,13,1,8,1,13,3,9,2,11,2,9,3,11,1,9,1,16,1,17,4,16,1,17,9,16,1,17,32,16,5,17,1,16,1,17,4,11,1,9,3,10,1,8,1,9,1,13,2,8,2,7,1,13,2,24,1,7,1,8,1,24,1,7,1,13,1,30,1,28,1,29,3,13,1,7,1,13,3,8,1,13,1,7,1,9,1,8,1,13,1,9,1,8,1,24,1,8,2,24,2,9,1,8,2,24,1,8,1,13,1,28,4,30,3,6,2,29,1,28,2,6,1,29,1,6,1,29,2,30,1,28,14,30,2,29,1,27,1,30,1,29,1,30,1,6,1,7,2,6,1,8,1,7,1,13,2,7,1,13,2,8,1,13,1,7,1,13,1,7,1,13,2,7,1,13,1,24,1,13,1,29,1,8,1,13,1,8,2,13,4,8,1,24,1,8,2,13,2,8,1,13,1,7,1,29,1,13,1,6,1,24,1,8,1,9,2,13,1,8,2,13,1,9,1,13,1,8,2,6,1,7,2,6,1,30,1,27,1,29,1,28,38,30,1,28,1,29,1,28,1,30,1,27,1,26,1,29,1,30,1,29,5,27,1,28,1,6,2,28,1,6,3,13,1,7,1,30,1,13,1,6,1,13,1,7,1,6,1,13,1,8,1,6,1,8,1,13,1,8,1,13,2,8,1,9,2,8,1,9,2,24,1,8,2,25,1,26,1,27,1,28,1,29,1,30,2,28,7,29,1,28,1,29,1,27,1,26,2,25,1,6,1,28,14,30,1,13,1,7,1,6,2,25,1,6,3,7,2,8,2,24,1,8,1,9,2,10,1,11,3,10,1,11,1,9,1,11,1,17,1,11,1,16,1,11,2,16,3,17,1,11,1,9,3,13,1,11,1,9,2,8,3,24,1,13,2,7,1,6,3,7,1,8,1,9,2,11,1,17,5,16,1,11,1,13,2,8,1,13,1,9,5,16,1,12,1,11,1,10,2,8,1,24,1,7,1,8,1,13,1,6,1,25,1,6,1,27,1,26,1,29,1,26,1,25,1,29,1,27,2,26,1,25,1,26,1,29,1,25,3,27,1,25,2,8,1,29,1,6,1,8,1,13,3,6,1,8,1,13,1,8,1,7,1,6,1,13,4,8,1,12,1,9,1,24,1,10,1,9,2,13,1,8,2,9,2,12,1,10,2,11,1,12,1,10,2,12,2,11,1,9,1,11,1,10,1,8,1,12,1,24,1,10,1,8,1,24,1,8,1,9,2,12,1,11,1,16,1,11,2,16,1,11,1,17,1,16,1,10,1,9,2,11,3,16,1,17,4,11,1,17,2,11,2,17,1,16,1,17,7,11,1,17,5,11,2,17,1,11,1,17,2,11,1,17,1,11,1,17,1,11,1,17,3,12,1,17,6,10,1,11,1,17,1,11,1,17,1,11,1,17,2,12,1,17,3,11,1,12,1,17,2,11,1,12,1,17,6,12,1,17,3,11,2,17,1,11,3,12,3,10,3,9,1,10,2,9,1,10,1,24,1,10,1,9,1,10,1,9,1,10,1,9,1,12,1,10,1,24,1,10,1,11,1,17,1,10,1,24,1,10,1,17,10,12,1,10,1,9,1,11,1,10,2,9,1,24,1,8,1,12,1,8,2,24,1,9,1,13,1,12,1,8,1,24,1,12,2,17,4,12,1,8,2,7,1,30,2,6,1,13,1,5,2,13,1,10,1,9,1,11,1,12,1,17,1,11,2,12,1,24,1,9,2,11,3,10,1,7,1,13,1,7,1,29,1,13,1,24,1,7,1,13,1,7,2,30,2,6,1,29,1,30,2,29,1,6,1,29,1,30,1,29,1,6,1,7,1,13,3,24,1,8,2,9,2,12,1,17,4,12,1,17,7,12,1,24,1,12,1,17,1,12,2,17,1,10,1,9,1,17,2,12,1,17,4,12,1,9,1,17,1,12,1,9,2,24,1,17,1,10,1,12,1,17,1,12,2,17,1,12,3,17,1,12,2,17,14,12,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,12,1,11,1,12,1,10,1,8,1,11,1,12,1,8,1,10,2,13,1,24,1,8,1,9,1,13,1,28,2,13,2,33,1,5,56,6,1,28,10,9,1,17,3,12,2,17,1,8,1,24,1,13,1,6,1,13,1,6,1,30,1,6,1,8,1,9,1,17,2,9,1,28,5,6,1,9,1,12,1,8,1,13,1,29,1,6,1,28,14,}, {28,16,30,1,29,1,28,1,29,1,8,1,17,2,11,1,17,2,14,2,10,1,7,1,8,1,29,1,6,1,7,1,6,1,11,1,17,2,16,1,17,1,15,1,14,3,11,1,7,2,6,1,9,1,14,1,12,1,24,1,6,2,13,2,15,1,14,1,15,2,6,1,7,1,29,1,7,1,6,1,13,1,24,1,9,1,17,4,12,1,17,1,14,2,10,1,6,1,7,1,28,1,29,1,28,22,30,1,29,1,28,1,6,1,13,2,10,1,17,1,13,1,30,1,28,1,6,2,13,1,6,1,29,1,10,1,12,1,17,2,12,2,8,1,6,2,30,1,6,2,28,1,30,1,13,1,24,1,8,3,6,1,28,9,30,1,6,1,28,3,5,1202,33,1,28,1,7,1,30,1,13,2,7,2,28,3,6,1,30,1,13,1,28,3,6,1,11,1,7,2,13,3,28,5,6,1,28,11,6,1,30,1,28,3,30,2,6,1,29,1,6,1,30,1,6,1,9,1,6,2,13,1,7,1,13,1,7,1,30,1,6,1,13,1,29,1,7,1,6,1,13,2,9,1,13,1,28,3,9,1,17,1,11,1,9,1,13,1,28,16,30,1,28,1,6,1,30,4,6,1,7,1,6,1,13,2,9,1,13,2,9,1,13,1,9,2,13,2,10,1,13,7,9,3,13,2,9,1,13,2,9,1,13,3,9,1,8,1,9,1,13,3,9,4,16,1,11,1,9,1,17,35,16,1,17,12,16,5,17,1,16,1,17,3,12,1,17,1,9,3,13,1,9,1,13,2,8,1,7,1,13,1,8,3,7,1,24,1,8,1,13,1,7,1,13,1,7,1,29,1,30,1,6,1,13,3,24,1,7,1,8,1,13,1,8,4,13,1,8,3,10,1,8,2,24,1,8,1,9,2,24,1,9,1,8,1,28,5,30,1,7,1,13,1,6,1,13,1,6,2,28,1,6,1,13,1,6,1,29,2,28,13,30,1,29,3,25,1,30,1,6,1,7,4,13,1,7,1,8,1,7,1,13,1,9,1,7,2,13,2,8,1,13,1,29,1,13,1,6,2,7,1,13,2,7,2,8,1,13,1,24,1,8,1,13,1,8,1,13,2,6,1,13,1,7,1,29,1,6,1,13,1,6,1,13,1,8,1,6,1,8,3,13,1,24,1,9,1,13,1,9,1,13,1,24,1,7,1,8,1,13,2,6,1,30,1,29,1,30,1,29,3,28,1,30,1,28,39,30,3,27,1,30,1,27,1,29,4,30,1,29,1,30,1,29,2,6,3,7,1,6,2,13,1,6,2,13,1,9,1,13,1,8,1,13,2,8,1,13,1,8,1,9,2,13,1,8,1,13,1,10,1,11,1,9,2,7,1,8,1,26,1,27,1,28,1,29,1,28,8,30,1,28,1,30,2,27,1,25,1,26,1,6,1,30,1,29,1,28,11,30,1,6,2,29,1,6,1,7,2,8,2,13,1,8,1,13,2,8,1,13,1,24,1,8,1,10,1,11,1,12,2,9,1,10,1,12,1,9,1,11,2,17,2,11,2,9,1,11,2,16,2,11,1,9,6,11,1,8,1,13,1,24,1,13,1,30,1,7,1,13,2,6,1,30,1,6,1,8,1,10,1,9,1,16,1,17,6,13,1,9,1,8,1,9,2,8,2,9,2,11,1,12,1,17,1,12,1,10,1,8,1,13,1,24,2,13,2,6,1,13,1,6,1,25,1,26,1,25,2,26,3,27,2,29,1,25,1,26,1,8,1,29,1,25,1,6,1,27,1,6,1,25,1,6,1,7,2,13,2,7,1,24,1,6,1,10,1,8,2,24,1,13,1,24,2,10,1,24,1,12,1,10,1,9,1,24,1,12,1,9,1,24,2,12,2,9,1,12,4,9,2,10,1,12,1,17,1,9,1,12,1,10,1,9,1,8,1,10,1,24,1,8,1,9,4,24,1,11,2,16,1,11,1,16,1,11,1,17,1,11,1,17,1,11,1,9,2,11,1,10,1,11,3,17,2,16,1,17,5,16,1,17,4,11,1,17,1,11,1,17,5,11,1,17,1,11,1,17,4,11,1,17,1,11,1,17,3,12,1,11,1,17,2,11,1,17,1,12,4,17,1,12,1,17,2,11,2,12,1,17,1,12,1,11,2,17,2,11,1,17,2,11,1,17,1,12,1,11,1,17,4,12,3,11,1,17,1,12,1,11,4,12,1,10,1,11,1,10,1,11,1,12,1,17,1,9,1,8,1,24,1,11,1,8,1,10,1,11,1,9,1,12,1,10,1,11,1,24,1,11,2,10,1,12,1,10,1,9,1,8,1,9,1,11,1,12,1,9,1,12,1,10,1,11,1,17,3,12,2,17,2,10,1,17,1,9,2,10,2,24,2,8,1,13,1,24,1,13,1,8,1,24,2,12,1,11,1,12,2,17,1,10,1,12,1,11,1,9,1,8,1,6,1,29,1,30,1,5,3,13,1,9,1,11,1,12,1,17,2,12,1,11,2,9,1,10,1,9,1,13,1,11,1,9,1,7,1,6,2,13,1,7,1,9,1,29,1,6,1,13,1,7,2,13,1,6,3,29,2,7,1,29,2,30,1,6,1,7,1,8,1,13,2,8,1,10,1,24,1,9,1,24,1,12,1,17,6,12,1,17,4,12,2,17,1,9,1,11,1,17,1,10,4,12,1,17,1,12,1,17,2,12,4,17,2,10,1,17,1,12,2,17,1,12,1,11,1,17,3,12,1,17,1,12,2,17,4,12,1,17,13,12,1,17,1,12,1,17,2,12,1,17,2,11,1,12,1,17,1,10,1,9,2,10,1,11,1,12,1,9,1,12,2,9,3,13,1,28,3,33,2,5,54,6,1,28,10,14,2,12,2,17,3,8,1,24,1,13,1,7,1,13,1,6,1,30,1,6,1,13,1,9,1,12,1,17,1,12,1,28,5,30,1,16,1,12,1,9,1,7,1,6,1,28,15,}, {28,15,30,3,28,1,30,1,9,2,12,1,10,1,11,1,17,3,9,1,13,1,7,1,8,1,7,1,6,2,9,1,15,1,14,1,12,1,14,1,15,1,9,1,12,1,9,1,13,2,7,1,6,1,10,1,14,1,9,2,13,2,6,2,13,1,9,1,15,1,24,1,13,1,7,1,6,1,13,1,6,1,13,1,8,2,17,4,11,1,17,2,14,1,10,1,6,1,30,1,28,1,30,1,28,23,30,1,7,1,6,2,13,1,17,2,11,1,6,1,30,1,29,1,6,1,28,1,13,1,24,1,17,2,12,1,17,1,9,3,7,1,30,1,28,2,30,1,28,1,7,1,13,1,8,1,9,1,10,1,9,1,6,1,28,1,30,1,28,4,29,1,28,2,30,2,28,3,5,1201,13,1,6,1,30,2,8,1,30,1,7,1,13,1,30,1,28,2,30,2,13,1,9,1,28,1,30,1,28,1,6,1,13,2,9,1,13,2,7,1,28,5,30,1,28,6,30,1,28,3,30,1,6,1,28,5,6,2,30,1,6,1,7,1,13,2,7,1,13,1,6,3,30,2,6,1,13,1,6,1,13,2,7,1,11,1,30,1,28,3,13,1,16,1,11,1,13,1,6,1,28,16,30,1,13,1,30,1,13,2,8,1,13,1,11,1,13,1,9,1,11,1,9,1,13,2,9,3,11,4,16,1,11,1,9,1,13,3,9,1,6,1,13,3,10,1,9,1,13,1,9,4,11,1,13,1,9,1,13,2,9,3,11,2,9,1,16,1,10,2,11,2,10,1,11,1,17,46,11,1,16,1,11,1,17,1,16,2,17,1,11,1,16,1,17,3,12,1,9,1,24,1,8,1,9,1,24,1,8,2,13,1,8,1,13,2,8,1,24,1,8,2,7,1,8,1,13,1,29,1,6,2,8,1,13,3,8,1,13,1,24,2,8,2,13,1,9,1,8,3,24,4,8,1,9,3,8,1,10,1,13,2,29,1,30,1,29,1,6,3,7,1,24,1,13,1,8,1,13,2,24,1,7,2,29,1,13,1,29,1,30,2,28,5,30,1,28,1,30,1,28,1,30,2,28,1,27,1,6,1,25,1,6,1,13,1,30,1,6,1,8,1,29,1,13,1,7,2,13,3,6,1,8,1,24,1,7,1,6,1,7,1,13,1,30,1,13,2,7,1,6,1,7,3,13,2,8,2,24,2,7,1,13,2,8,1,6,1,13,1,8,3,6,1,13,1,8,1,24,1,9,2,13,1,8,1,24,2,8,4,7,1,13,1,7,2,30,2,29,2,30,1,28,37,30,1,28,2,30,1,26,1,30,2,29,1,25,1,29,1,28,1,29,1,30,1,29,1,25,1,27,1,29,2,6,1,8,1,7,1,28,1,13,1,6,1,29,1,7,1,13,1,7,1,29,1,7,2,13,1,8,1,13,1,8,1,13,3,8,1,9,2,24,1,9,2,12,1,9,1,8,2,26,1,29,1,27,1,29,1,30,1,29,1,28,7,30,1,29,2,30,1,28,1,29,1,6,1,7,1,28,2,30,1,28,10,6,1,7,1,13,1,24,2,8,1,24,1,8,2,13,2,8,1,13,2,8,1,24,1,11,1,9,2,10,1,11,1,9,1,10,1,17,1,9,1,11,1,16,2,11,4,17,1,16,3,11,1,16,1,12,1,11,1,9,4,13,1,7,1,24,1,7,1,13,2,6,1,28,1,7,1,13,1,8,1,13,1,9,2,16,1,17,5,11,1,9,2,8,2,9,1,13,1,8,1,9,3,11,3,8,1,13,2,24,1,8,3,30,1,7,1,13,1,25,1,26,1,25,1,27,1,25,1,27,1,25,1,29,3,25,1,29,1,27,2,25,1,6,1,26,1,8,1,25,1,8,1,7,1,8,2,24,1,8,2,13,2,24,1,8,1,13,1,24,1,8,1,24,1,9,2,10,1,12,1,10,1,12,2,9,1,12,1,9,1,11,1,12,1,17,1,12,1,17,3,9,1,8,1,17,1,10,1,17,1,11,1,12,1,11,1,12,1,10,1,9,9,11,4,16,2,17,1,11,1,9,1,11,3,17,1,16,1,11,2,16,1,11,1,17,2,11,1,17,7,11,1,17,8,12,1,17,7,11,1,17,1,12,1,17,1,12,2,17,1,12,1,11,1,17,1,12,1,17,2,11,1,10,1,11,1,17,1,12,1,17,3,11,1,17,3,11,1,17,2,12,1,11,1,17,1,12,1,17,2,12,1,17,4,12,1,17,2,11,1,12,1,11,1,12,2,11,1,10,1,12,1,10,1,12,1,11,1,9,1,8,1,11,3,9,1,10,1,8,1,24,1,10,2,9,1,8,1,9,1,12,1,10,2,12,1,9,1,12,1,9,1,12,1,11,1,9,1,11,1,12,1,11,1,10,1,17,1,9,1,17,5,12,2,11,1,12,2,9,1,24,1,9,1,24,1,10,1,24,1,13,3,8,1,24,1,8,1,10,1,24,1,17,2,12,4,7,2,28,1,13,1,5,3,11,1,9,1,10,1,9,1,11,2,12,1,9,1,10,1,8,1,9,1,12,2,13,1,8,1,13,1,8,1,7,1,13,1,7,1,8,1,9,1,13,1,7,1,8,2,13,1,30,1,13,1,7,1,6,3,29,1,30,1,6,2,13,1,8,2,12,1,8,1,10,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,12,12,1,10,1,17,1,12,1,17,1,12,1,17,1,10,1,17,1,12,3,17,2,9,1,12,3,10,1,17,1,24,1,12,1,17,1,9,1,17,6,12,1,17,19,12,1,17,1,11,1,17,3,12,1,17,1,11,1,12,2,11,1,17,1,11,1,24,1,10,1,9,1,10,1,11,1,12,1,11,1,10,1,9,2,13,2,30,1,6,1,28,2,13,2,33,1,5,49,30,1,28,9,6,1,11,1,14,1,17,1,10,1,17,2,12,1,10,1,13,1,7,1,13,2,6,2,7,2,10,2,17,1,9,1,28,5,6,1,9,2,13,1,6,1,8,1,30,1,28,14,}, {28,9,30,1,28,6,30,1,28,2,29,1,13,2,8,1,24,1,10,2,17,1,14,1,8,1,7,1,8,1,7,1,13,1,7,1,6,1,9,1,12,1,17,1,10,1,9,1,12,1,24,1,15,1,24,1,11,1,8,1,6,1,30,1,17,1,14,1,16,1,13,1,8,2,7,1,28,1,8,1,11,1,9,1,13,3,29,1,8,1,6,1,7,1,8,1,17,2,11,1,16,1,11,1,16,1,12,1,15,1,14,1,11,1,6,1,28,1,30,1,28,21,30,1,28,1,30,1,6,1,13,1,30,1,6,1,12,1,17,1,9,2,6,2,7,1,13,1,7,1,6,1,13,1,9,1,17,4,9,1,10,1,29,1,6,1,30,1,6,1,30,2,7,2,24,1,8,1,12,1,13,2,28,3,30,1,28,6,30,1,28,3,5,1200,9,1,30,1,6,1,7,1,13,1,6,1,7,2,28,5,7,1,28,1,6,1,28,3,6,1,13,1,9,1,13,3,28,17,6,1,28,5,6,2,28,1,13,3,9,1,13,3,6,1,8,1,9,1,13,1,6,1,13,5,9,1,13,3,6,1,7,1,16,1,9,1,13,1,6,1,28,16,30,1,13,2,9,1,13,1,9,3,13,3,9,1,7,1,13,4,9,2,13,1,9,1,11,2,9,1,16,1,9,2,13,3,9,1,13,1,9,2,11,2,16,1,9,4,13,3,9,1,13,2,9,1,11,3,16,2,17,2,11,2,17,1,16,1,17,45,16,3,11,1,17,2,16,1,17,1,16,1,17,4,9,1,13,1,8,2,24,1,8,1,13,1,8,1,13,1,7,1,13,1,8,1,7,1,13,1,8,2,24,1,13,1,7,1,8,3,24,1,8,1,24,2,8,1,9,1,13,2,9,1,8,5,9,4,24,2,10,2,9,1,24,1,8,1,24,1,13,1,7,1,6,1,13,1,8,2,13,1,7,1,13,1,8,3,13,1,6,2,7,1,29,1,6,1,29,1,30,1,6,1,29,1,28,1,30,1,28,1,30,1,29,1,30,1,27,1,30,1,29,2,6,1,29,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,13,1,7,1,13,1,7,1,8,1,13,1,8,2,6,1,8,2,6,1,13,2,7,1,6,1,8,2,6,1,8,1,13,1,6,1,8,5,7,1,13,1,6,1,13,2,8,2,24,1,13,2,8,1,6,1,30,1,9,1,8,2,9,1,13,1,24,2,9,1,24,1,8,1,7,1,13,1,6,2,28,1,29,1,28,3,29,1,28,1,30,1,28,36,29,1,30,2,29,1,30,2,27,1,29,3,27,1,29,2,6,1,30,1,6,1,30,1,7,1,13,1,30,1,7,1,13,1,6,1,13,1,8,1,13,1,8,1,13,1,8,2,9,1,24,1,9,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,10,2,13,3,8,2,25,1,27,1,8,1,27,1,25,1,26,1,27,1,30,1,28,5,30,1,28,18,30,2,13,1,24,5,8,1,7,1,6,1,13,1,6,1,13,2,8,1,24,1,9,2,17,1,9,2,17,1,11,2,12,1,11,1,16,1,11,1,16,1,9,1,16,2,11,2,16,1,11,3,9,2,11,1,12,1,9,2,13,1,8,1,6,1,13,2,6,1,13,3,8,1,9,2,16,1,10,1,17,2,11,1,17,1,16,1,8,1,9,3,13,1,11,1,9,1,8,1,11,1,9,2,11,1,12,1,10,2,13,1,24,1,13,2,24,1,7,2,6,2,8,1,6,1,29,1,26,1,27,1,25,1,27,1,25,1,27,2,25,1,29,1,26,1,25,1,6,1,8,1,30,1,25,2,13,1,25,1,6,1,13,2,24,1,13,3,7,1,13,1,8,1,13,1,8,2,13,1,9,3,8,1,11,1,10,2,9,1,10,1,17,1,11,2,17,1,12,2,10,1,11,1,16,1,11,3,16,1,11,1,10,1,11,2,9,1,10,1,9,1,24,1,12,1,9,4,11,1,10,1,9,1,16,1,17,1,16,1,11,1,16,1,9,1,11,1,10,1,11,1,16,1,12,1,17,1,11,1,16,1,9,1,11,2,9,1,11,2,17,2,16,1,17,14,11,1,17,1,16,1,17,4,12,1,11,1,17,1,12,2,10,1,11,1,10,1,17,1,12,2,17,1,9,1,11,1,12,1,11,1,12,1,17,3,11,1,17,1,11,1,17,2,12,1,17,9,12,1,17,2,12,1,17,3,10,1,12,1,9,1,11,1,12,1,10,1,11,2,10,1,9,1,11,1,13,1,10,1,12,1,10,1,9,1,12,1,9,2,10,1,9,1,10,1,9,1,24,1,8,1,10,2,12,1,24,1,11,1,24,1,11,2,9,1,12,1,10,1,17,1,10,1,9,1,12,1,10,2,12,1,9,1,10,2,9,3,12,1,9,2,12,1,24,1,10,1,24,1,10,2,8,1,7,1,24,1,13,1,8,1,24,1,9,1,17,4,8,1,13,1,6,1,30,1,13,1,5,2,13,1,11,1,9,2,10,1,11,1,12,1,11,2,12,2,11,1,9,1,11,1,10,1,8,1,13,2,6,1,13,1,7,1,6,1,13,1,8,1,13,1,29,1,6,1,7,1,30,2,6,1,13,1,6,1,28,1,13,1,6,1,13,1,7,1,8,1,24,1,8,1,10,1,8,1,9,2,10,1,12,1,17,3,12,1,17,2,11,1,17,5,12,1,17,1,11,2,12,2,17,1,10,1,12,1,17,8,10,1,17,1,12,2,17,2,10,1,17,1,12,2,10,1,12,2,17,30,11,1,17,1,12,2,17,1,9,2,10,1,9,2,12,1,10,1,17,1,12,1,11,1,17,1,12,1,11,1,9,1,8,1,13,2,7,1,28,5,13,1,5,47,28,10,30,1,16,1,17,3,12,1,9,1,24,1,8,1,24,1,13,1,6,1,7,1,29,1,6,1,29,1,13,1,24,1,17,1,10,1,9,1,28,5,29,1,8,1,9,1,8,1,30,1,28,1,30,2,28,13,}, {28,16,29,1,28,1,29,1,28,1,13,1,8,1,13,1,8,1,12,1,11,2,17,1,9,1,13,1,7,1,13,2,8,1,13,1,8,1,14,2,15,1,24,1,9,1,24,1,8,1,13,2,7,1,8,1,30,1,10,1,14,1,15,1,24,1,13,1,6,1,13,1,30,1,24,1,8,1,9,1,8,1,13,1,6,3,29,1,9,1,24,1,17,3,16,3,12,1,15,1,14,1,9,1,8,1,28,2,30,1,28,20,29,1,28,1,30,1,28,1,6,1,7,1,13,1,9,1,17,2,13,1,6,2,13,3,6,1,24,1,17,3,24,1,8,1,9,1,8,2,6,1,29,1,30,2,28,1,29,1,8,3,9,1,15,1,29,1,28,1,30,1,28,3,30,1,28,1,6,1,28,2,30,2,28,2,5,1199,30,2,6,1,7,1,28,1,13,1,7,1,6,1,30,1,28,1,30,1,28,3,13,3,6,1,28,1,30,2,6,1,7,1,13,3,28,16,30,1,28,5,6,1,28,1,6,1,13,2,7,1,6,1,7,1,13,1,8,1,6,1,30,1,8,1,7,3,28,1,6,1,13,2,9,1,10,1,30,1,9,1,30,1,13,1,11,1,9,2,13,1,28,13,6,1,13,3,11,2,9,1,13,1,6,1,30,1,6,1,30,1,13,2,6,1,13,1,6,1,13,1,6,1,13,5,8,1,11,2,8,1,11,2,16,2,11,1,9,1,13,2,9,5,11,1,13,1,11,1,9,1,13,1,9,1,13,2,9,3,16,4,17,6,16,1,17,43,16,1,17,1,11,1,16,1,17,1,16,2,11,1,16,2,17,1,16,2,17,2,12,1,24,1,13,2,9,1,7,1,24,1,7,1,8,1,13,2,24,1,13,1,24,1,13,1,8,3,24,1,10,2,8,1,24,2,9,1,8,1,9,1,8,2,13,3,8,2,9,1,13,1,24,1,8,1,9,1,8,1,9,2,10,1,8,1,10,1,8,1,24,1,8,2,13,1,8,1,24,1,12,1,8,1,24,1,6,1,7,1,6,4,7,1,29,1,7,1,28,1,6,1,30,1,6,1,30,1,6,2,29,3,30,1,29,1,6,1,30,1,25,1,6,1,25,1,13,1,7,1,13,1,7,1,13,1,8,1,7,1,6,2,13,1,7,1,8,1,13,1,7,1,6,2,7,1,13,1,29,1,13,1,6,1,7,1,30,1,13,1,6,1,8,1,6,1,8,1,7,1,29,1,24,1,8,1,13,2,8,1,13,1,6,1,7,1,13,2,8,1,7,2,24,1,8,7,13,1,8,2,13,2,7,1,13,1,7,2,6,1,27,1,28,1,29,1,30,2,29,1,28,2,29,1,28,35,30,1,28,2,29,1,27,1,29,1,28,1,26,1,27,2,26,2,29,1,6,1,29,1,6,1,7,1,29,1,6,2,8,1,6,2,13,1,29,1,8,1,13,2,8,3,13,1,24,1,8,1,13,1,9,3,24,1,8,2,9,1,13,1,6,1,13,1,6,1,7,2,24,2,8,1,25,1,8,1,26,1,27,1,29,1,28,21,29,1,6,1,30,2,7,1,13,1,9,2,24,3,13,1,6,1,7,1,6,1,13,3,9,2,11,3,9,1,10,2,11,1,10,1,11,1,16,1,11,1,16,5,11,1,16,1,17,1,11,1,12,1,9,5,7,1,8,1,13,2,6,1,7,1,13,2,8,2,12,1,11,1,12,1,9,1,12,1,11,1,17,2,11,1,8,1,13,1,8,1,9,1,8,2,13,1,9,2,8,1,9,1,10,2,11,2,12,1,11,1,13,3,8,1,13,1,24,1,13,1,6,1,13,1,6,2,25,1,24,1,6,1,25,1,28,1,30,1,26,1,27,1,6,2,27,1,6,1,25,1,8,1,29,1,8,1,29,1,7,1,8,1,24,1,6,1,13,2,8,2,7,1,24,1,13,1,8,1,13,1,24,3,8,1,24,1,8,1,9,1,24,1,17,1,12,2,17,1,12,2,17,1,11,1,17,1,10,2,11,1,10,2,16,1,17,1,11,1,17,1,11,1,10,1,12,1,11,1,8,1,9,1,8,1,12,1,10,1,9,2,8,1,9,1,10,1,11,1,16,1,17,1,16,1,17,1,10,1,11,1,9,1,11,1,9,1,11,2,17,1,11,3,9,2,11,1,9,1,11,3,17,1,11,1,17,17,11,1,16,1,11,3,17,3,11,1,17,1,11,2,12,1,17,1,10,1,11,3,12,1,17,2,12,3,17,1,10,1,11,2,12,1,17,14,12,1,17,1,11,1,12,2,17,1,11,3,10,2,11,1,9,1,11,1,10,1,9,1,12,2,17,1,9,1,11,1,24,1,10,1,9,1,24,1,11,1,9,1,11,1,10,1,12,1,10,2,12,1,10,1,24,1,9,1,12,3,10,1,12,1,10,1,12,1,11,1,12,1,11,1,9,2,10,1,9,1,8,1,24,1,8,1,17,1,10,1,11,2,9,1,24,1,9,1,8,1,13,1,8,2,13,1,10,1,9,2,12,1,17,2,12,1,10,1,13,1,28,1,33,1,5,1,11,1,9,1,10,1,11,1,9,1,12,1,10,1,17,1,12,1,9,1,10,1,9,1,10,1,11,1,10,1,8,1,6,1,13,1,9,1,7,1,13,3,6,1,13,1,7,1,6,3,7,1,6,1,28,1,13,1,29,1,6,3,24,1,13,1,9,1,8,1,9,1,10,1,12,1,10,1,9,1,17,2,12,1,17,13,12,2,17,5,12,1,17,1,12,1,17,2,12,1,17,1,24,1,11,1,17,1,12,1,10,1,12,1,10,1,11,2,17,1,13,1,11,1,17,1,12,1,17,12,12,1,17,1,12,1,17,4,12,1,17,11,12,1,17,1,12,1,9,1,11,1,10,2,17,2,12,1,17,3,12,1,17,3,12,2,9,1,13,1,9,1,7,1,30,1,28,7,13,3,5,41,28,10,6,1,14,1,17,2,12,3,9,1,10,1,9,1,13,3,29,1,6,1,7,1,13,1,9,1,12,1,17,1,8,1,30,1,28,4,6,1,16,1,12,1,13,1,8,1,13,1,30,1,29,1,30,1,28,12,}, {28,15,6,1,28,1,30,1,28,1,30,1,8,3,10,2,17,1,10,1,9,2,6,1,29,1,7,1,8,1,6,1,7,1,13,1,14,1,15,1,10,1,24,1,8,1,13,1,8,2,24,1,13,1,8,1,13,1,9,1,14,2,15,1,13,1,6,2,13,2,9,1,8,1,9,2,30,1,6,1,8,2,9,3,17,1,16,1,11,1,12,1,9,1,15,1,9,1,15,1,12,1,6,2,30,2,28,24,6,1,8,2,10,1,17,2,10,1,6,1,13,2,6,1,29,1,6,1,8,1,24,1,12,1,10,1,11,1,8,1,13,2,6,1,8,1,13,1,29,2,30,1,6,1,13,1,8,1,10,1,11,1,10,1,6,1,28,3,30,1,28,1,29,1,28,1,30,1,28,1,29,2,30,1,28,1,6,1,5,1198,6,2,30,1,7,1,13,1,29,1,13,1,6,1,28,1,30,2,28,4,13,2,6,1,11,1,13,1,28,1,6,3,13,2,6,1,28,22,6,3,13,1,29,1,13,1,7,2,6,1,7,2,8,1,13,3,7,1,30,1,13,2,8,1,13,5,16,1,9,2,13,1,28,13,13,1,9,2,13,1,11,1,9,1,6,1,13,1,30,1,13,1,7,1,30,1,6,1,13,1,6,1,13,1,7,1,13,1,6,2,13,4,9,1,16,1,9,2,10,1,9,2,16,3,17,1,16,2,11,1,9,2,11,1,8,1,13,1,9,1,11,1,9,1,13,1,10,1,13,1,11,2,9,1,10,1,11,1,10,1,17,50,10,1,16,1,17,5,16,7,17,4,8,1,9,1,8,1,10,1,24,2,13,2,7,1,8,1,13,1,8,2,24,1,8,1,9,1,13,1,24,3,13,1,10,1,8,1,13,1,8,1,24,1,6,1,8,1,7,1,9,1,13,1,8,3,13,1,9,2,24,1,13,1,9,1,10,1,8,1,11,1,9,1,12,1,10,1,9,4,10,1,12,1,8,1,9,1,7,1,30,1,29,3,30,1,7,1,30,1,6,1,30,1,29,1,30,1,29,2,6,1,7,1,29,1,6,1,7,1,29,1,7,3,29,1,6,2,7,1,6,1,7,1,8,1,24,1,7,1,6,2,8,1,7,1,8,2,29,1,24,2,13,1,8,1,13,3,7,1,13,1,7,1,6,1,29,1,8,1,7,3,29,1,8,1,7,1,13,1,24,1,8,4,13,1,7,2,6,1,13,1,8,1,13,1,8,1,13,1,6,1,13,2,8,1,9,1,8,2,9,1,13,1,7,1,13,1,7,1,6,2,29,1,28,2,30,1,27,1,30,1,27,1,28,1,29,1,30,1,27,1,30,1,28,34,27,1,29,2,26,1,29,2,27,1,25,1,29,1,27,1,6,1,25,1,6,1,7,1,30,1,7,2,6,1,7,1,6,1,13,1,8,1,7,1,8,1,7,1,13,1,8,1,13,1,8,1,9,1,13,1,9,2,11,1,24,1,9,1,24,1,10,1,8,1,7,3,6,1,29,1,6,1,25,2,24,1,8,4,25,1,30,1,28,21,7,1,28,1,7,2,24,2,10,1,11,1,9,1,24,1,7,1,13,1,6,1,13,3,8,1,9,1,10,1,9,1,11,3,12,2,10,1,17,2,16,1,17,1,11,1,10,1,11,2,16,1,11,1,16,2,17,1,12,1,17,1,9,5,8,2,13,1,24,1,13,2,6,1,13,1,8,1,9,1,8,1,9,1,10,1,9,3,12,1,10,1,9,5,11,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,10,1,12,1,10,1,9,2,6,1,8,3,7,1,8,3,7,1,6,1,13,1,6,1,29,1,30,1,6,2,25,1,27,1,25,1,6,1,25,1,29,1,8,1,6,5,28,1,24,1,6,1,7,1,24,1,13,2,8,1,7,1,24,1,8,2,13,1,10,1,30,1,8,2,13,1,8,1,9,1,8,1,13,1,9,1,11,1,16,1,17,1,16,1,11,1,16,1,11,1,16,3,9,1,17,1,11,1,16,1,11,2,12,1,9,4,11,1,12,1,10,1,9,2,8,1,9,1,13,1,10,1,9,1,11,1,17,1,11,1,17,1,11,1,9,4,11,1,17,2,11,2,9,1,11,1,16,1,11,2,9,2,11,1,17,1,16,1,17,2,16,1,17,1,16,1,17,2,11,1,17,3,16,1,17,4,16,2,17,4,10,1,11,1,17,3,11,1,17,1,12,1,17,1,11,1,17,2,10,1,17,2,11,1,12,1,11,2,17,1,12,1,11,2,17,1,11,1,17,1,11,1,17,6,12,1,17,5,12,1,11,1,12,1,11,2,10,1,12,1,11,1,12,1,11,1,12,1,9,2,12,1,10,3,9,2,24,1,9,2,10,1,9,1,10,1,12,1,11,1,9,1,11,2,9,1,10,1,17,1,9,1,10,1,12,1,10,1,11,2,12,1,11,1,12,1,10,1,11,1,17,1,12,1,11,1,10,1,11,2,10,1,9,1,12,1,17,1,11,1,17,1,9,1,12,1,9,1,8,4,13,1,24,1,13,1,12,1,17,3,12,1,9,1,13,1,30,1,5,2,9,1,11,1,9,1,10,1,12,1,17,1,11,1,12,2,9,1,10,1,11,3,10,1,11,1,10,1,8,1,9,1,7,1,13,1,6,1,8,1,13,1,8,1,7,3,6,1,29,2,7,1,6,2,29,1,6,1,13,3,9,1,8,1,10,1,24,1,8,1,17,1,12,1,9,1,11,1,12,1,17,4,12,1,17,6,12,2,17,4,10,1,12,1,17,1,11,1,17,2,10,1,17,1,10,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,11,1,12,1,9,1,12,1,17,29,12,1,17,4,12,1,17,1,10,1,12,1,10,1,9,1,12,2,17,3,12,1,17,4,12,1,17,1,10,1,17,1,10,2,12,1,9,1,13,2,30,1,28,8,9,1,33,1,5,38,28,10,29,1,12,1,17,1,12,1,17,1,10,1,17,1,12,1,24,1,13,1,8,1,13,1,6,1,29,1,30,1,13,2,12,1,17,2,9,1,28,5,6,1,17,1,12,1,8,1,29,1,28,1,30,1,28,14,}, {30,1,28,4,30,1,28,9,30,1,28,1,30,1,28,1,29,1,8,1,10,1,9,2,17,1,9,1,12,1,17,1,11,1,13,1,8,1,13,1,6,1,13,1,7,1,13,1,14,1,15,1,9,1,24,1,8,1,13,1,8,1,13,5,8,1,14,1,15,1,8,1,6,1,13,1,30,1,7,1,8,1,11,1,12,1,15,1,7,1,13,1,6,1,13,1,6,1,7,1,8,1,9,1,11,1,17,1,16,1,9,1,11,1,8,1,9,1,15,2,6,1,29,1,30,1,29,1,28,12,30,1,28,1,30,1,28,7,30,1,28,1,29,1,13,1,24,1,9,1,17,2,9,1,30,1,29,1,6,2,30,1,29,2,8,1,13,1,12,1,8,1,7,1,13,1,6,1,13,4,28,2,30,1,13,1,8,1,9,1,10,1,15,1,6,1,28,3,30,1,28,1,30,1,28,1,30,1,6,1,28,1,6,1,13,1,28,2,5,1196,6,1,30,1,28,1,30,1,6,1,13,1,6,1,29,1,13,1,6,1,28,7,13,1,9,1,13,2,9,1,13,3,30,1,13,1,9,1,28,21,30,2,6,1,13,5,6,1,13,1,30,1,13,1,6,1,30,1,13,2,7,1,13,3,7,1,6,1,13,2,9,1,13,1,9,1,11,1,13,1,9,1,28,7,30,2,13,4,11,2,9,1,16,1,11,1,10,1,13,1,9,2,8,1,7,1,6,1,9,3,11,1,9,3,13,4,6,3,13,1,9,1,13,1,11,1,13,1,11,3,16,3,17,1,16,3,9,1,16,3,11,2,9,2,16,1,11,1,16,2,17,5,16,1,17,51,16,1,17,1,16,1,17,3,16,1,17,1,11,1,17,2,16,1,17,2,8,1,10,1,9,1,24,1,8,2,13,3,8,1,7,1,13,2,9,1,8,1,24,1,8,1,9,1,8,1,24,1,8,2,24,1,13,1,8,2,7,1,8,1,13,2,9,1,8,2,24,1,9,1,24,1,8,1,9,2,8,1,9,4,13,1,9,3,10,1,9,1,8,4,7,1,29,1,30,4,6,1,30,1,29,1,7,1,29,1,6,1,13,3,6,3,29,1,6,4,7,1,29,1,7,4,6,1,7,1,29,1,13,8,7,1,6,1,8,1,13,1,29,1,13,2,6,1,13,1,6,1,7,1,13,1,6,1,29,1,7,1,13,1,24,1,8,1,7,1,8,1,13,1,7,1,6,4,13,1,30,1,6,2,24,2,7,2,8,1,13,1,8,1,9,1,13,1,8,1,13,1,8,2,7,1,13,1,7,1,29,1,30,3,28,2,29,1,30,2,29,2,28,1,25,1,28,1,30,1,28,32,30,1,27,2,26,1,30,1,27,1,26,1,29,1,25,1,27,1,6,1,25,1,6,1,8,1,7,1,29,3,7,2,8,1,6,1,13,1,24,1,13,2,8,1,9,1,8,1,24,1,9,1,24,1,8,1,9,2,13,1,8,1,9,1,13,1,8,1,13,1,6,1,29,1,25,1,6,2,24,4,8,1,25,1,6,1,28,21,30,1,6,1,29,1,6,1,8,1,13,1,24,1,17,1,12,1,17,2,9,1,8,1,7,1,13,1,24,1,9,1,10,1,9,1,11,1,10,1,16,1,12,1,11,1,16,1,17,2,11,2,10,1,11,1,16,1,9,1,11,1,17,1,11,1,16,1,11,1,16,2,17,1,11,1,12,1,10,1,11,1,10,1,8,2,13,1,6,2,13,2,7,1,24,3,8,1,9,1,8,1,9,2,10,1,9,1,24,1,9,2,11,1,9,2,8,1,13,3,9,1,13,1,9,3,17,1,9,2,13,1,7,1,6,1,24,1,6,1,7,1,29,1,24,1,8,2,24,1,7,1,29,1,6,1,7,1,25,1,27,2,29,1,25,1,27,2,6,1,25,1,6,3,7,2,6,1,13,1,7,1,6,2,13,1,24,1,6,1,8,1,13,1,8,1,13,2,7,1,8,1,24,1,8,1,24,1,13,1,8,1,9,1,10,1,9,1,12,2,16,1,12,1,17,1,12,1,17,1,11,1,17,1,11,1,16,1,17,1,16,1,11,3,9,4,8,1,9,1,13,1,8,2,9,2,11,1,10,2,9,1,11,1,16,1,11,3,9,4,11,1,17,2,9,1,16,1,17,1,11,1,16,2,11,2,16,1,11,3,16,2,11,1,17,5,11,2,17,1,11,1,17,5,11,1,17,3,12,1,17,1,11,2,17,1,12,1,17,1,11,1,12,2,17,1,11,1,12,1,17,5,12,1,17,2,12,2,17,2,12,1,17,4,11,1,12,1,17,4,11,1,17,5,12,1,11,1,12,1,11,1,10,1,11,1,12,1,9,1,11,1,10,2,8,1,9,2,11,1,10,2,9,1,10,1,24,1,10,1,9,1,24,1,8,1,11,1,9,2,12,1,9,2,12,1,11,6,12,2,17,1,11,1,12,1,11,2,12,2,11,1,10,1,17,1,10,1,11,1,17,3,12,2,24,1,10,1,8,1,13,1,24,3,13,1,24,1,12,1,17,1,12,1,17,1,11,1,13,1,6,1,13,1,5,1,13,1,11,2,10,2,9,1,12,1,11,2,12,1,10,1,11,2,17,1,12,1,8,1,7,1,8,2,13,1,8,1,7,1,8,1,6,1,13,1,8,1,30,1,29,1,6,3,13,1,30,1,6,1,29,1,30,1,7,1,8,2,24,2,12,1,8,1,12,1,11,1,17,1,11,1,17,3,10,1,17,3,12,1,17,1,12,3,10,1,17,1,12,1,10,1,17,1,10,1,12,1,17,2,9,1,12,2,17,1,10,1,12,1,11,1,17,1,11,1,10,1,8,1,17,1,12,1,11,2,8,1,11,1,17,4,12,1,17,21,11,1,12,1,17,2,12,1,17,5,12,1,17,2,12,2,17,11,12,1,17,1,12,2,17,1,12,2,17,1,10,1,9,2,8,1,13,1,8,1,7,1,6,1,13,1,30,1,6,1,30,1,6,1,28,2,9,1,13,1,33,2,5,32,28,10,13,1,14,1,17,6,13,1,8,2,6,1,7,1,30,1,6,2,7,1,9,1,17,2,13,1,28,5,6,1,12,2,13,1,6,3,30,1,28,13,}, {28,18,6,2,13,1,10,1,8,1,24,1,17,1,12,1,11,1,17,1,11,1,13,1,8,2,30,1,6,1,13,2,17,1,14,1,24,3,8,2,24,2,9,1,8,2,24,1,14,2,11,1,24,1,13,1,29,1,30,1,13,1,12,2,9,1,6,1,13,1,8,2,7,1,13,2,8,1,12,1,17,1,10,1,12,1,8,1,9,1,8,1,15,1,24,1,13,2,30,1,6,2,30,1,28,3,30,1,28,6,30,1,28,2,6,1,28,5,30,1,28,2,13,1,8,1,24,1,17,3,8,1,13,2,6,1,13,1,7,1,28,1,7,1,8,1,13,1,17,1,8,1,24,1,6,2,13,2,24,1,6,2,30,1,13,2,8,2,11,1,12,1,6,1,28,4,29,1,28,5,6,1,28,3,5,1195,28,3,6,1,29,1,7,1,6,1,7,1,8,1,30,1,28,1,30,1,28,7,7,1,9,4,8,1,13,1,6,1,9,1,7,1,28,21,13,1,6,1,29,1,7,1,13,1,8,1,29,2,6,1,30,1,6,1,29,1,30,1,29,1,7,1,30,1,13,2,6,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,9,2,13,1,7,1,30,2,28,3,6,1,30,1,13,2,8,1,10,1,11,1,17,4,11,1,10,1,9,2,11,1,9,2,17,9,16,1,17,1,16,1,9,1,10,1,13,6,9,3,11,1,16,1,17,6,16,1,17,1,16,1,17,1,16,2,17,3,16,1,17,61,16,2,17,2,16,4,17,1,16,1,17,2,10,1,9,2,8,2,24,1,8,1,13,2,8,2,24,1,8,1,24,1,9,2,24,1,8,1,10,1,24,1,8,2,24,1,8,1,13,5,24,1,13,1,8,1,24,1,7,1,13,1,24,1,9,1,8,1,13,1,9,3,8,2,10,1,9,1,8,1,11,1,9,2,11,1,9,1,8,1,10,1,6,1,29,1,6,2,29,1,6,1,29,2,6,1,13,2,8,1,7,1,8,1,7,1,6,1,8,1,13,1,7,1,8,1,6,1,13,1,6,1,7,1,6,2,13,1,6,1,29,1,13,1,24,1,8,1,6,1,7,1,8,1,7,1,13,1,6,1,13,1,8,1,13,2,6,1,24,1,8,1,13,1,6,1,13,3,6,2,8,2,13,2,8,1,13,2,8,3,13,1,24,1,13,3,7,1,8,1,13,2,8,1,13,1,8,1,13,1,24,1,8,2,9,1,8,1,13,1,8,2,6,1,13,1,6,1,29,1,28,1,30,1,28,1,29,2,28,1,30,2,26,1,29,1,28,1,30,1,28,1,30,1,28,30,30,2,28,1,29,1,28,1,27,1,30,1,27,1,29,1,30,1,29,1,24,1,30,1,6,1,7,1,8,1,6,1,7,1,6,1,13,1,7,1,13,2,8,1,24,1,13,2,10,1,8,2,9,1,24,1,9,4,11,1,9,2,8,3,24,1,6,1,27,1,6,1,30,1,27,1,25,2,24,1,8,1,12,1,13,1,30,1,28,22,6,1,28,1,30,1,7,1,8,2,24,1,8,1,9,2,10,2,17,2,9,1,10,1,12,1,9,1,12,1,11,1,16,1,11,1,16,2,11,3,16,1,11,2,12,1,11,3,16,1,11,2,16,1,11,1,17,1,11,1,9,2,10,2,8,2,13,3,8,1,24,4,9,1,8,1,24,1,8,1,9,2,24,1,9,2,11,1,9,8,8,1,13,1,10,1,8,1,11,1,16,1,8,1,10,1,9,1,13,1,7,1,6,2,7,1,8,2,24,2,7,1,8,1,6,2,29,1,6,2,25,1,29,1,27,1,25,2,29,1,6,2,29,1,8,1,6,1,8,1,13,2,6,1,7,1,13,1,24,1,8,2,13,1,24,2,8,1,9,1,13,1,8,2,10,1,12,1,13,1,9,2,8,2,9,2,11,1,9,1,10,1,9,1,12,1,11,1,17,1,11,4,16,1,9,1,10,1,9,2,8,2,24,1,9,1,13,2,9,2,10,1,9,1,11,2,16,2,17,1,9,1,17,1,9,1,8,1,13,1,9,1,13,1,11,1,17,3,11,1,16,1,17,1,11,1,9,1,17,1,11,1,16,1,17,1,11,1,16,1,11,1,16,1,17,1,11,1,17,2,16,1,17,3,11,1,17,1,16,1,11,1,16,1,11,1,17,1,11,1,17,1,16,1,17,2,11,1,17,1,12,1,17,1,12,1,17,2,12,4,17,1,11,1,17,1,11,1,17,2,10,1,17,1,12,1,10,1,17,3,12,1,11,1,12,1,17,3,12,1,17,6,12,1,17,1,12,1,17,1,12,1,17,1,9,1,10,1,12,1,10,1,9,1,10,2,12,2,10,1,11,1,10,1,11,3,9,1,10,1,11,1,9,1,24,1,10,1,9,2,10,1,9,1,10,1,11,1,17,1,12,1,10,1,9,1,11,1,9,1,11,1,12,1,10,1,17,1,12,1,10,1,12,1,11,1,17,1,10,1,11,1,12,1,11,1,17,1,11,3,17,5,12,1,24,1,13,1,8,1,13,1,24,1,7,1,9,1,12,1,17,4,8,1,30,1,13,3,12,1,17,1,12,1,17,1,12,3,17,1,9,1,10,1,11,1,12,1,10,1,9,1,10,1,8,1,13,2,8,1,13,1,7,1,13,1,6,2,13,1,28,1,30,1,13,1,28,1,6,1,29,1,30,2,13,1,7,1,24,1,8,1,24,1,10,1,9,1,8,1,9,1,12,1,10,1,12,1,17,11,12,1,17,2,12,2,17,1,12,1,10,1,12,1,17,1,12,1,11,1,17,3,12,1,8,1,12,1,9,1,17,1,9,1,24,1,12,1,17,1,12,1,17,5,10,1,17,29,12,2,17,3,12,1,17,4,11,1,12,1,17,1,10,1,17,3,12,1,17,3,11,1,17,3,12,1,17,1,10,1,12,3,10,1,12,1,10,1,9,2,13,2,9,2,10,1,30,1,6,2,28,3,30,1,33,1,5,30,28,10,7,1,14,1,17,2,10,1,12,1,8,1,24,1,13,4,6,1,28,1,29,1,30,1,9,1,12,1,17,2,13,1,28,5,6,1,9,1,15,1,30,1,6,1,28,1,29,1,30,1,28,13,}, {30,2,28,7,30,1,28,6,30,1,29,1,6,1,28,1,6,1,29,1,8,1,10,1,12,1,9,1,16,1,9,3,13,2,6,1,13,2,6,1,17,1,14,1,9,1,8,1,9,1,8,2,13,1,15,1,24,1,13,1,8,2,14,2,24,1,8,1,13,1,6,1,13,2,9,1,17,1,8,2,13,1,6,1,13,1,6,1,13,2,24,1,17,2,16,1,9,1,8,1,24,2,15,1,12,1,6,1,29,1,6,1,29,1,30,1,6,1,30,1,28,5,29,1,28,1,30,1,28,13,6,2,24,1,17,2,14,1,9,1,6,1,28,1,6,3,29,1,6,1,8,2,10,1,12,1,13,2,7,2,28,1,13,1,6,2,7,1,13,1,6,1,7,1,9,1,15,1,13,1,7,1,30,1,28,8,29,1,28,3,6,1,5,1193,28,3,30,1,6,1,7,2,6,2,7,2,28,6,30,1,28,4,6,1,8,1,11,1,8,1,13,1,6,1,13,1,11,1,13,1,28,20,7,1,6,1,13,1,9,1,11,1,8,1,13,1,6,4,30,3,7,3,6,2,13,1,8,1,9,2,8,1,10,1,8,2,9,1,13,1,9,1,7,1,6,1,28,2,30,1,9,2,11,2,9,1,17,5,10,1,11,1,9,1,11,3,16,2,17,13,16,2,9,2,13,2,9,1,6,2,9,3,11,1,16,1,17,1,16,1,17,66,16,1,17,4,11,1,17,4,11,1,17,4,11,1,17,5,9,2,10,1,9,1,24,1,8,1,24,2,13,1,8,2,9,1,24,1,8,1,24,1,9,1,24,2,8,1,9,1,13,1,8,1,6,1,8,1,24,1,13,1,9,1,8,1,9,1,8,2,13,1,10,1,8,1,24,1,9,2,8,2,24,1,10,1,9,6,10,2,11,1,8,1,10,1,8,1,13,1,29,1,7,1,30,1,13,1,7,1,13,1,8,1,13,1,24,1,7,1,13,1,8,1,13,1,7,1,8,1,7,3,8,1,13,1,7,2,13,1,30,1,8,1,6,1,7,1,8,1,13,2,7,1,8,1,30,1,8,1,6,1,7,1,13,1,6,1,8,1,24,1,13,2,7,1,6,1,8,1,24,1,13,1,6,1,7,1,6,1,8,1,7,1,6,1,13,1,8,1,6,1,13,4,8,1,13,1,8,1,7,1,24,1,7,1,8,1,6,1,7,1,13,2,8,3,24,1,7,1,8,3,7,1,8,2,7,2,29,3,28,1,29,1,28,1,29,1,30,1,28,1,30,2,27,1,28,3,30,1,28,28,30,1,28,2,29,1,30,1,27,1,29,1,30,1,26,2,25,1,29,1,7,1,13,1,6,1,24,1,6,1,7,1,6,2,7,3,8,1,13,2,8,1,13,1,8,4,24,1,8,1,9,4,13,1,8,1,24,1,9,1,24,1,9,1,24,1,6,1,27,1,26,1,27,1,25,1,8,1,24,4,29,1,28,24,30,1,29,1,6,1,7,1,6,1,8,1,12,1,24,1,10,1,9,1,17,8,16,1,17,1,16,1,17,1,16,1,17,1,9,1,10,2,9,1,11,1,10,1,12,1,11,1,10,1,11,1,9,1,12,1,17,1,16,1,17,2,11,1,10,1,12,1,11,1,8,1,13,1,6,1,8,1,7,1,8,1,24,3,8,2,9,1,10,1,8,1,9,5,8,1,10,1,11,1,9,6,8,1,13,1,12,1,9,1,11,1,10,1,9,2,7,1,13,1,6,1,13,1,29,1,6,2,7,1,24,1,8,3,6,1,7,1,29,1,6,1,25,1,29,2,26,1,6,1,25,1,6,1,7,1,13,1,6,2,7,1,13,1,7,2,13,2,6,1,13,1,8,1,9,1,7,1,8,1,13,1,9,2,8,2,9,1,13,2,9,1,10,2,8,1,9,2,11,1,10,1,11,2,9,1,17,1,12,1,17,3,11,1,9,1,16,1,9,3,10,1,8,2,13,1,9,2,8,2,9,3,17,1,9,1,17,1,11,4,8,1,9,1,8,1,11,1,9,1,16,1,17,1,11,1,17,2,16,1,11,2,10,1,16,1,9,1,16,1,17,1,11,4,16,2,17,2,11,1,17,3,16,1,17,1,16,1,17,6,10,1,17,1,11,1,17,1,9,1,17,1,12,1,17,2,12,1,11,3,17,2,11,1,12,2,17,1,12,1,17,1,11,1,17,4,12,1,11,1,17,3,11,1,17,4,12,1,17,2,11,1,17,3,11,1,17,1,12,1,10,1,17,1,9,1,11,1,8,1,11,1,10,1,12,1,11,1,8,1,12,2,10,2,11,1,12,1,10,2,12,1,13,1,10,1,11,2,24,1,12,1,24,1,10,1,24,1,17,1,10,1,17,2,11,1,9,1,17,1,10,2,11,1,17,1,11,1,17,1,12,1,11,3,10,1,17,1,12,1,11,1,12,1,10,1,17,4,11,1,8,1,9,1,13,1,9,1,24,1,13,1,10,1,12,1,17,4,9,1,13,3,10,1,11,1,12,2,10,1,12,2,17,1,10,1,11,1,9,1,17,1,12,2,8,1,10,1,13,2,8,1,13,1,8,2,7,1,13,1,6,2,29,1,6,2,30,1,6,1,30,1,6,1,30,2,13,1,8,1,13,1,10,1,9,1,10,1,11,1,10,1,17,1,11,1,17,1,12,1,17,5,12,1,17,4,12,1,17,5,12,2,17,1,12,1,17,1,12,1,17,1,12,1,17,1,10,2,12,1,11,1,12,3,17,4,12,2,17,18,12,1,17,6,12,1,17,2,12,1,17,3,12,1,17,1,10,1,11,1,17,2,12,1,17,10,12,1,17,6,12,1,17,5,10,1,12,2,11,2,12,2,10,1,9,1,8,1,9,2,13,3,6,2,30,1,28,3,33,2,5,26,30,1,28,9,13,1,15,1,14,1,17,1,11,1,16,1,24,1,8,1,13,1,8,1,13,1,7,1,13,1,28,1,29,1,13,1,9,1,15,1,10,1,17,1,13,1,28,5,13,1,9,2,29,2,30,1,7,1,30,1,28,13,}, {28,3,30,1,28,1,30,1,28,6,29,1,28,1,30,1,28,1,29,1,6,2,8,1,29,1,9,1,10,1,12,1,10,1,12,1,10,1,16,1,17,1,9,1,8,2,30,1,13,1,6,1,8,1,17,1,14,1,12,1,13,1,24,1,8,1,10,1,24,1,14,1,12,1,8,1,7,1,13,1,15,1,9,3,7,1,6,2,13,1,12,1,17,1,11,1,9,1,8,1,13,1,8,1,13,1,6,1,24,1,13,1,15,1,17,1,9,1,24,1,8,2,11,2,15,1,6,1,30,2,6,1,28,22,30,1,28,1,6,1,13,1,9,1,12,1,17,1,14,1,9,1,28,1,6,1,29,2,6,1,13,1,30,1,13,1,8,1,9,1,17,1,24,1,13,1,30,3,29,1,13,1,8,2,13,1,8,1,17,1,9,1,17,1,9,1,6,1,28,6,30,1,28,3,6,1,28,3,5,1192,30,1,28,1,30,1,28,2,29,1,6,1,30,1,6,1,13,1,28,1,29,1,28,3,6,1,28,2,30,2,28,1,30,1,6,2,13,1,7,1,13,4,11,1,7,1,28,19,30,1,13,4,8,1,30,4,29,1,28,1,30,2,13,1,29,1,13,1,6,3,8,1,11,2,13,1,11,1,9,3,10,1,8,1,11,1,6,1,28,2,6,1,17,1,11,3,16,1,17,2,16,1,9,2,13,1,11,1,10,1,9,2,11,1,17,22,16,2,11,1,9,2,16,1,17,1,16,1,17,1,16,1,17,7,16,1,17,15,16,1,17,1,11,1,17,3,11,1,17,32,11,1,17,13,11,1,17,1,11,1,17,1,11,1,16,1,17,5,11,1,9,1,24,1,9,2,8,1,24,1,8,2,9,1,8,1,11,1,8,1,10,1,8,1,24,1,10,1,9,1,7,1,13,1,24,1,13,2,24,1,8,1,24,1,13,2,8,1,9,2,8,1,24,1,10,1,24,1,9,2,24,1,9,1,10,1,8,1,9,3,8,1,11,1,9,2,11,1,13,1,9,2,13,1,9,1,8,1,6,1,13,1,8,1,7,1,13,1,7,1,8,1,6,1,13,1,8,1,6,1,8,3,29,1,8,1,13,1,6,1,13,3,7,1,29,1,13,2,7,1,13,1,8,2,13,1,24,1,7,1,13,1,8,1,7,1,8,1,6,1,8,1,6,2,13,2,7,1,13,1,7,2,8,1,6,1,8,1,13,5,8,2,13,2,24,1,8,2,13,2,8,1,7,1,13,1,8,1,13,2,7,1,13,2,8,1,13,3,8,1,6,1,24,1,8,1,6,1,13,1,7,1,29,1,30,1,29,1,28,1,30,1,29,4,28,1,30,3,26,1,29,1,28,32,30,1,28,1,27,1,29,3,6,2,7,1,6,3,7,5,13,1,7,1,8,2,13,2,9,1,8,1,13,1,8,1,9,1,24,1,9,2,24,2,8,5,10,1,9,1,24,1,8,1,29,2,27,3,25,2,8,1,13,1,9,1,29,1,28,25,30,2,13,4,9,1,8,1,24,1,17,11,11,1,17,1,10,1,11,2,9,2,11,1,12,1,17,2,12,1,17,1,12,2,16,1,17,1,11,1,12,1,17,1,10,1,17,1,11,1,9,1,13,3,7,1,29,1,13,1,7,1,8,1,13,1,24,1,8,2,9,1,8,2,9,3,8,1,11,1,10,2,11,1,9,1,8,1,9,1,8,1,9,4,11,2,24,1,9,1,24,1,8,1,7,1,13,1,6,1,7,1,6,1,7,1,13,1,24,1,13,1,8,1,29,1,30,1,29,1,6,1,29,1,25,1,30,1,8,1,30,1,25,1,6,1,29,1,6,3,7,2,6,1,7,1,13,6,8,1,9,1,24,1,9,1,24,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,10,1,8,1,11,2,9,4,11,2,12,2,9,1,11,1,9,1,11,1,9,1,11,1,9,3,8,1,11,1,13,2,8,1,9,1,8,1,9,1,8,1,16,1,11,1,16,1,11,1,17,1,11,1,17,1,9,4,10,1,11,2,17,3,11,5,9,1,11,2,17,2,11,3,16,1,17,1,11,1,17,1,11,1,17,3,16,1,17,2,16,1,17,1,9,1,16,1,17,1,16,1,11,1,17,3,11,1,17,2,11,1,12,1,9,1,17,1,12,2,11,1,12,1,10,1,17,2,12,2,17,1,12,1,17,1,12,1,17,1,11,1,17,1,11,1,17,4,11,1,17,7,11,1,17,2,12,1,17,1,11,2,12,1,10,2,17,1,10,1,12,1,9,2,12,1,10,1,9,1,12,1,10,1,11,2,9,1,10,2,9,1,24,1,9,1,24,1,9,1,11,2,8,1,24,1,11,1,12,1,11,1,10,1,17,1,12,1,9,1,10,1,9,1,17,1,11,3,12,1,17,1,10,1,11,1,17,1,12,2,11,1,12,2,17,6,12,2,11,1,8,1,10,1,13,1,11,1,17,4,9,1,17,1,13,1,11,1,9,1,12,2,11,1,17,1,12,1,11,1,12,1,11,1,17,1,10,1,11,1,17,1,9,1,10,1,8,1,13,1,8,2,13,1,8,2,7,1,8,1,13,1,29,1,6,1,13,1,7,2,6,1,7,1,30,1,7,2,9,1,13,1,8,1,10,1,9,1,24,1,10,1,9,1,12,3,17,2,12,1,17,3,12,1,17,2,11,1,17,4,12,1,17,1,12,2,17,2,12,1,17,2,9,1,17,1,12,1,17,1,12,1,17,2,12,1,17,4,10,1,17,2,12,2,17,1,12,1,17,4,11,1,17,16,10,1,17,2,12,1,17,2,12,2,17,1,12,1,17,1,12,1,17,2,12,1,17,22,10,1,12,2,11,2,10,1,11,1,24,1,9,1,11,1,12,1,8,1,11,1,9,1,10,1,13,1,9,1,7,1,13,1,6,1,30,2,6,1,28,2,9,1,5,24,28,10,7,1,14,2,16,2,12,1,9,1,13,1,8,1,13,1,8,1,13,1,7,1,6,2,13,1,24,1,10,1,12,1,17,1,13,1,28,5,13,1,15,1,14,1,28,1,13,1,30,1,29,1,30,1,28,13,}, {28,1,30,1,28,8,30,1,28,5,30,2,6,1,30,1,8,2,9,2,11,1,17,3,16,1,7,1,6,1,13,1,6,2,13,1,7,1,17,2,15,3,9,1,15,1,12,1,14,1,10,1,8,1,6,2,14,2,8,1,7,1,13,2,9,1,13,1,11,1,16,1,11,1,13,1,6,1,8,1,7,1,30,1,13,1,6,1,8,1,12,1,17,2,16,1,13,2,9,1,15,1,9,1,8,1,6,1,29,1,30,1,28,3,30,1,28,1,30,1,28,17,30,1,29,1,8,1,12,1,24,1,14,2,9,1,6,2,29,1,13,1,29,1,28,1,6,1,9,1,10,1,9,1,10,1,8,1,30,1,7,1,29,1,30,1,6,3,7,1,6,1,9,2,12,1,11,1,10,1,7,1,28,1,6,1,30,1,7,1,28,4,30,1,28,1,30,2,28,2,5,1191,6,1,28,3,30,1,6,2,29,1,13,2,30,1,28,5,30,1,28,5,30,1,29,1,30,2,6,1,29,1,30,1,9,2,10,1,28,19,30,1,13,2,6,1,13,1,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,13,1,6,2,7,1,13,1,8,1,9,1,13,1,8,1,10,1,9,2,12,1,11,1,10,1,8,1,13,1,30,1,6,1,9,1,11,1,17,3,16,1,17,1,16,1,13,1,6,1,13,2,30,1,13,1,8,1,11,1,16,1,17,24,16,1,17,1,16,1,17,1,16,6,17,1,16,1,17,15,16,1,17,5,16,2,17,3,9,1,16,1,17,3,16,1,17,26,16,1,17,12,16,1,17,3,16,1,17,1,11,1,16,1,17,1,16,2,17,2,12,1,10,1,9,1,10,1,8,2,24,1,8,2,9,1,24,1,10,1,24,1,11,1,13,1,8,1,9,2,24,1,8,1,13,1,8,1,13,1,8,1,13,1,24,1,8,1,24,1,10,1,9,1,24,1,9,3,24,1,9,4,10,1,8,1,12,1,9,2,12,1,9,3,11,1,9,2,10,1,9,3,11,1,8,1,7,1,6,1,29,1,13,2,8,1,6,1,8,1,13,1,7,2,13,3,6,1,13,1,7,3,13,1,8,1,29,1,8,2,6,1,8,1,7,1,6,1,8,2,13,1,6,1,13,1,8,1,13,4,7,1,6,1,8,2,6,1,7,1,6,2,7,2,13,2,8,1,13,2,24,1,8,3,13,1,8,2,13,1,6,1,13,1,7,1,6,1,13,3,8,1,13,1,8,2,13,1,24,1,8,1,13,1,8,2,7,2,29,1,30,1,6,1,30,2,29,1,30,1,28,1,29,1,30,2,27,1,29,1,30,1,29,1,28,32,27,2,29,3,30,1,29,1,7,1,25,1,7,3,6,1,7,1,6,1,8,2,13,1,8,1,13,2,8,5,13,1,9,1,24,1,9,1,10,1,9,1,8,1,24,1,8,3,13,1,9,2,10,1,8,1,13,1,26,1,25,1,30,1,26,1,25,1,26,1,8,3,9,1,28,25,30,1,28,1,30,1,7,1,13,2,9,1,24,2,8,1,12,2,17,10,11,4,8,1,10,1,11,1,12,4,17,1,11,1,16,1,17,1,11,1,17,2,16,1,17,3,9,1,13,7,9,1,24,2,9,2,24,1,9,2,24,1,8,1,9,1,11,1,16,1,17,1,9,1,10,1,12,1,9,2,10,1,9,2,11,1,9,1,11,1,12,1,8,1,10,1,8,2,29,1,7,2,28,1,6,1,13,2,24,1,8,1,7,1,6,1,30,1,7,1,29,1,6,1,7,1,6,4,29,1,6,2,29,1,13,1,6,2,7,1,24,1,13,3,8,1,24,1,9,4,8,3,13,2,9,1,8,1,9,1,10,1,11,2,9,3,11,4,10,1,9,1,16,1,9,2,10,1,12,1,9,1,16,1,9,8,8,1,9,1,12,1,9,1,11,2,16,1,17,1,11,1,16,1,11,3,9,1,11,1,16,1,17,1,11,1,17,2,11,2,16,1,11,1,9,1,11,2,16,1,17,1,11,2,17,1,9,1,11,1,9,1,11,1,17,1,16,1,17,3,11,1,17,4,16,2,17,2,11,1,17,4,11,1,17,2,12,1,17,3,11,1,10,1,17,1,11,1,17,1,11,1,17,2,12,1,17,1,11,1,17,1,10,1,17,3,12,2,11,2,12,1,11,1,12,1,17,1,12,1,17,2,11,1,17,3,12,1,11,1,12,1,10,1,11,1,10,1,17,1,9,1,11,3,12,1,10,1,11,1,10,3,9,1,10,2,9,1,8,1,24,1,12,1,10,1,8,1,9,1,8,1,24,1,9,3,11,1,9,1,11,1,12,1,17,1,11,3,17,1,11,1,12,1,10,1,17,1,9,1,11,1,17,3,12,1,17,1,11,1,12,1,17,1,12,1,17,5,12,2,9,1,10,2,9,1,12,1,17,4,9,1,10,1,13,1,11,3,12,2,17,1,12,2,10,1,12,1,17,2,9,1,10,1,9,1,10,1,9,1,8,1,13,1,7,1,13,4,7,3,13,1,30,1,7,1,6,1,7,1,6,2,7,1,13,1,24,1,8,1,13,1,10,1,9,1,12,1,11,1,12,1,17,1,12,1,17,1,11,1,17,6,12,1,10,1,11,1,17,1,10,1,17,1,12,1,17,2,10,1,24,1,11,1,9,1,12,2,17,3,12,1,17,18,12,1,17,12,9,1,17,1,11,1,17,9,12,1,17,3,12,1,17,1,9,1,10,1,17,1,12,1,17,3,12,1,17,18,11,1,10,1,12,4,10,2,8,1,9,2,11,1,9,1,10,2,9,1,13,1,24,1,9,1,7,2,6,1,7,1,28,4,13,1,33,1,5,19,13,1,28,10,8,1,14,1,17,2,12,2,10,1,12,1,24,1,13,1,8,1,7,1,13,1,6,2,8,1,13,1,10,1,17,2,13,1,28,5,7,1,14,1,10,1,29,1,6,1,30,1,6,1,28,14,}, {28,16,30,1,28,3,6,1,24,1,9,2,11,1,17,3,9,1,8,1,29,1,6,1,29,1,30,1,13,1,6,1,17,3,24,1,10,1,14,1,24,1,15,1,12,1,9,1,6,1,29,1,6,1,15,2,24,1,6,1,13,2,6,1,7,1,12,1,17,1,12,1,9,1,6,1,29,1,13,1,6,2,13,1,9,1,12,1,10,1,17,1,10,1,13,1,9,2,14,1,15,1,13,1,29,1,30,1,29,1,28,4,30,1,28,20,24,2,9,1,11,1,14,1,9,1,13,1,29,1,28,1,30,1,6,2,28,1,9,2,15,1,11,1,8,1,29,2,6,1,29,1,30,2,13,2,6,1,9,2,11,1,12,1,15,1,13,1,30,1,28,2,6,1,28,6,30,2,28,2,5,1190,13,1,28,3,30,2,6,1,30,1,6,2,30,1,28,2,30,1,28,5,30,1,28,2,30,1,29,1,30,1,6,2,30,1,7,1,13,4,28,19,13,2,11,1,13,1,6,1,28,2,30,1,29,1,28,2,30,1,29,1,30,1,28,2,30,1,13,1,6,1,8,1,9,1,24,1,9,1,8,1,11,1,9,1,10,1,11,1,8,1,9,2,13,1,9,1,13,1,16,1,17,4,11,1,9,1,8,1,13,2,9,2,17,1,16,2,17,32,16,1,11,1,17,4,16,1,17,23,16,1,11,1,9,1,16,2,17,30,16,1,17,17,16,2,17,6,11,1,9,1,10,3,9,2,8,1,9,1,8,1,9,1,11,1,8,1,9,1,11,1,24,1,9,2,8,3,13,1,8,1,24,2,9,1,8,1,10,1,24,1,9,3,24,1,9,1,24,1,9,1,24,1,9,1,10,1,9,14,8,1,10,2,9,1,6,2,13,1,7,1,6,1,7,1,13,1,8,1,7,1,13,1,8,1,7,1,13,2,7,1,8,1,7,1,8,1,7,1,8,2,7,1,8,1,13,4,6,1,24,1,13,2,6,2,7,2,6,1,13,2,8,1,6,1,13,1,7,1,13,3,7,1,13,1,8,2,13,2,8,2,24,1,8,2,24,1,13,2,8,2,6,1,13,3,8,1,13,1,8,6,13,2,8,1,7,1,8,1,7,1,6,2,30,1,29,1,27,1,29,1,27,1,28,1,29,1,30,2,28,3,30,1,27,1,30,2,28,26,30,1,28,1,29,2,30,1,27,1,30,1,25,1,26,1,6,1,7,1,13,1,6,4,7,1,13,2,6,1,13,1,8,1,9,1,24,1,8,2,9,2,8,4,24,2,9,1,8,1,9,1,24,1,13,1,24,1,8,1,9,1,10,1,24,1,8,1,13,1,8,1,25,1,24,1,8,2,25,2,8,1,6,1,28,28,30,1,29,1,8,2,9,1,8,1,10,3,17,12,11,2,9,1,10,1,9,1,10,1,17,1,9,1,17,2,11,3,12,1,17,2,11,1,17,1,11,1,17,2,8,1,9,2,8,1,13,2,24,3,9,1,8,1,9,1,8,2,9,1,24,1,9,1,8,1,9,1,11,2,17,1,16,1,9,1,11,2,9,2,13,1,8,1,9,1,11,2,10,1,9,2,24,1,13,1,8,1,30,1,29,1,7,1,6,1,13,3,24,1,8,1,6,1,29,1,7,1,29,1,30,1,6,1,29,2,6,1,8,1,6,1,7,2,6,2,13,1,8,1,7,1,13,1,6,2,24,1,7,2,8,2,9,1,8,1,29,1,9,1,8,2,9,1,13,1,11,1,8,1,9,1,16,1,8,1,10,1,11,2,9,3,10,1,9,1,8,1,9,1,11,1,9,6,13,1,9,3,11,1,8,1,10,1,12,1,16,1,10,1,9,2,17,1,16,5,11,1,9,1,11,2,17,6,8,1,11,1,9,3,16,1,11,2,17,1,16,1,11,1,10,1,11,3,16,1,17,3,11,1,17,3,16,1,17,2,16,1,17,1,16,1,17,2,11,1,17,1,10,1,12,1,9,1,17,5,12,1,11,1,12,1,11,1,17,1,11,1,17,1,12,1,17,2,11,1,17,1,12,1,11,1,12,2,17,2,12,1,17,2,11,1,17,1,12,1,17,1,10,1,17,2,11,1,17,2,11,1,17,2,11,1,12,2,11,1,17,1,12,1,10,2,9,1,12,1,11,1,10,1,11,1,9,1,10,1,9,5,12,1,9,1,11,1,9,4,11,1,12,1,9,1,11,4,12,1,17,1,11,3,17,1,12,1,11,1,17,1,12,1,11,1,12,2,17,1,12,1,10,1,12,1,17,1,12,1,17,5,12,1,10,2,9,1,10,1,24,1,10,1,17,3,11,1,13,3,10,1,17,1,12,2,17,3,12,2,17,1,12,1,17,2,11,2,9,1,10,1,8,2,9,1,6,1,13,2,7,4,6,1,29,2,7,1,6,2,7,1,13,2,8,1,24,1,13,1,9,1,24,1,17,2,11,1,12,1,17,2,9,1,17,4,12,1,17,1,11,1,17,5,12,1,17,4,9,1,12,1,17,1,11,1,17,1,10,1,12,1,17,4,12,1,17,1,11,1,17,7,12,1,17,7,12,2,17,2,12,1,17,5,11,1,17,2,12,1,17,1,12,1,17,1,12,1,17,4,12,1,10,1,17,1,12,2,17,1,12,1,17,2,12,3,17,21,12,1,17,1,11,2,10,1,11,1,12,3,11,1,10,1,9,1,8,1,9,1,10,1,9,2,24,2,8,1,13,2,7,1,6,1,30,3,28,1,13,2,33,2,5,15,13,1,28,10,13,1,14,1,17,2,12,2,11,1,9,1,24,1,9,1,13,1,9,1,8,1,6,1,30,1,13,1,8,1,15,1,14,1,17,1,13,1,28,5,6,1,14,1,13,1,6,1,29,2,6,1,28,14,}, {28,17,30,2,28,1,6,1,12,2,11,1,10,1,17,4,8,1,6,1,7,1,6,1,30,1,6,1,8,1,17,3,11,1,12,1,17,1,10,1,13,3,30,1,6,1,13,1,9,1,14,1,8,1,6,2,13,3,16,1,12,1,17,1,8,1,29,2,13,1,7,1,13,2,8,1,11,1,17,1,11,1,17,1,11,1,9,2,14,1,15,1,13,1,6,1,28,1,6,1,30,2,28,19,29,1,28,2,30,1,13,1,9,1,24,1,12,1,15,2,7,1,6,1,30,1,29,1,30,2,28,1,8,1,11,1,14,1,24,1,13,1,29,1,6,1,30,2,28,1,29,2,6,1,7,1,8,1,24,1,13,1,12,1,16,1,7,1,28,1,30,1,28,9,7,1,28,2,5,1190,28,3,29,1,7,2,13,1,29,1,7,1,29,1,28,4,30,1,28,3,30,1,28,2,6,1,30,1,6,1,30,1,6,2,30,1,13,1,9,1,13,1,6,1,11,1,28,13,30,1,28,3,30,1,13,4,30,1,28,1,30,1,29,1,28,8,29,1,6,2,13,1,8,5,10,1,12,1,10,1,12,1,10,1,17,1,11,1,9,1,11,1,17,4,16,1,11,1,16,2,17,10,16,1,17,6,9,1,10,1,17,25,16,1,17,2,16,3,17,3,16,2,17,1,16,1,17,11,16,1,17,1,16,1,11,1,9,1,16,1,17,4,16,1,17,26,16,1,17,3,16,1,17,1,16,2,17,19,12,1,10,1,17,1,9,1,8,1,9,4,10,1,9,1,12,1,8,1,9,4,8,1,13,1,8,2,9,3,8,3,9,2,10,1,13,1,9,1,8,2,24,1,9,1,8,1,10,1,9,6,10,2,11,1,9,1,8,1,11,1,9,1,10,1,11,1,16,1,11,1,12,1,10,1,6,1,8,1,29,1,6,1,13,2,7,1,8,2,13,1,8,1,7,1,13,2,7,2,13,1,7,1,6,1,7,1,13,1,8,1,6,1,7,1,6,1,7,1,13,1,8,1,13,1,8,1,13,3,8,1,13,1,8,1,7,1,13,3,8,1,13,1,6,1,8,2,6,1,13,1,8,1,9,1,13,1,8,2,24,1,13,3,8,1,24,1,13,1,8,1,13,1,8,1,7,1,13,1,6,1,24,1,8,6,24,3,7,1,6,1,13,1,6,1,29,2,6,2,28,1,30,3,29,1,27,1,29,1,30,3,29,1,28,30,30,1,28,2,27,1,30,1,27,1,29,1,7,2,13,1,6,1,8,1,13,1,8,2,13,1,24,1,13,1,8,1,13,7,8,1,9,1,24,1,8,1,9,1,12,1,24,1,8,1,13,2,6,1,8,2,9,1,11,1,9,2,7,1,8,1,7,1,8,1,25,1,24,1,25,1,26,1,12,1,28,29,29,1,6,1,8,1,6,1,24,2,11,1,9,1,11,1,12,1,17,12,10,2,9,1,10,1,9,1,10,1,9,1,11,1,12,3,11,1,17,1,11,3,12,1,17,1,12,1,17,1,9,2,13,4,8,2,24,1,9,1,8,1,9,1,8,1,9,4,11,1,16,2,17,1,16,1,17,2,16,1,11,1,9,8,11,1,9,1,24,1,8,1,6,1,7,1,6,1,25,1,6,1,7,1,13,2,24,1,8,1,7,2,8,1,6,1,30,1,6,1,29,1,7,1,6,1,30,1,13,1,8,1,6,1,8,1,13,1,29,1,7,1,6,1,13,1,8,1,24,1,8,1,9,1,13,2,8,5,9,1,13,1,8,1,9,2,17,1,9,2,11,1,9,3,10,1,16,1,9,6,10,1,9,1,8,1,9,3,13,2,10,1,9,1,10,1,17,1,11,1,12,1,10,1,11,4,16,1,17,1,16,2,11,1,16,1,9,1,11,1,17,1,11,1,16,1,17,1,11,1,10,1,11,1,9,1,10,1,9,2,11,1,16,2,17,2,11,1,10,1,8,1,9,1,10,1,17,4,11,1,12,1,11,1,17,4,11,2,17,3,11,1,17,6,9,1,17,2,11,1,12,1,11,1,12,2,11,3,10,1,11,1,17,2,11,1,17,1,12,1,11,1,12,2,17,3,12,1,17,6,12,1,17,2,12,4,11,1,17,1,12,1,9,1,11,1,17,1,12,1,17,1,9,1,11,1,10,1,11,1,10,2,12,1,9,2,24,1,10,4,11,1,9,2,10,1,9,3,10,1,11,1,10,3,17,1,11,1,10,1,12,1,10,1,12,1,10,1,17,3,12,6,10,1,12,1,17,7,11,1,10,1,8,1,10,1,8,1,9,1,12,1,17,2,9,1,13,1,29,1,10,1,12,3,11,1,17,2,12,1,17,3,12,2,10,1,11,1,17,1,12,1,9,2,13,3,7,1,8,1,13,2,7,2,6,1,7,1,6,4,13,2,6,1,8,1,24,1,9,1,8,1,9,1,11,2,12,1,17,1,12,1,11,1,17,4,9,1,10,1,11,1,17,2,12,1,17,1,12,1,10,1,17,2,11,1,17,1,12,1,9,1,12,1,11,3,12,1,17,1,12,1,11,1,17,2,12,1,17,25,12,1,17,1,12,1,17,6,10,1,17,3,12,1,17,1,12,1,17,4,12,1,10,1,17,1,12,1,11,1,17,1,12,1,17,1,12,1,17,23,12,2,10,1,11,1,12,2,10,1,9,1,11,1,10,1,8,1,9,1,8,1,24,1,13,1,8,1,9,1,13,1,7,2,6,2,28,6,13,1,5,13,13,1,28,10,8,1,14,1,17,2,11,1,9,1,12,1,24,1,9,2,24,1,10,1,6,3,13,1,8,1,9,1,14,1,16,1,13,1,28,5,8,1,14,1,8,1,13,1,6,1,29,1,30,1,28,14,}, {30,2,28,15,6,1,29,1,30,1,6,1,9,1,24,1,17,6,8,1,6,2,30,1,29,1,6,1,7,1,17,2,11,1,17,1,10,1,9,1,13,2,24,1,13,1,8,1,13,1,6,1,17,1,9,1,13,2,29,1,8,1,29,1,7,1,16,1,12,2,6,3,13,1,7,1,13,1,8,1,24,1,17,3,12,1,8,1,16,1,11,1,16,1,15,1,8,1,13,1,30,1,6,1,28,2,30,1,28,1,29,1,28,10,30,1,28,5,30,1,28,2,13,1,8,2,10,2,14,1,11,1,7,2,28,1,30,1,28,3,13,1,8,1,17,1,9,1,8,1,29,3,30,3,8,1,6,1,8,1,9,1,12,1,10,1,11,1,10,1,8,1,29,1,28,8,30,1,28,1,7,1,28,2,5,1190,28,2,30,1,7,2,6,3,30,1,28,6,30,2,28,3,30,1,28,1,13,1,6,1,13,1,6,2,30,1,13,1,9,1,30,1,13,1,9,1,28,13,30,1,28,3,30,1,28,1,6,1,30,1,28,2,30,1,28,7,30,1,28,2,6,1,30,1,6,2,13,1,9,1,8,1,10,3,17,1,13,1,12,1,11,3,17,8,16,1,17,15,11,1,8,1,6,1,13,1,9,1,13,2,9,1,11,1,17,26,16,1,17,8,16,1,17,6,16,1,17,1,16,2,17,2,11,1,16,3,17,2,11,1,17,22,11,1,17,2,16,1,17,23,16,1,17,4,11,1,10,1,17,1,9,1,10,1,9,2,8,2,9,1,11,2,10,1,9,1,10,1,9,2,24,1,8,2,9,1,24,4,8,1,9,2,8,1,9,1,8,1,9,2,8,2,9,1,10,1,9,5,10,1,11,1,9,3,11,1,9,1,11,1,9,1,11,4,17,1,9,1,8,2,13,4,6,1,13,2,6,1,7,1,13,1,8,1,13,1,6,1,13,1,6,1,8,1,7,3,8,1,7,1,13,1,7,1,13,2,8,1,13,2,6,1,7,3,13,3,8,2,13,2,6,2,13,4,24,1,8,1,24,1,8,2,9,1,8,1,10,1,13,1,8,3,24,1,29,1,8,1,7,1,13,2,8,1,13,1,7,1,24,1,8,4,24,1,8,1,24,1,29,1,7,1,29,1,7,1,6,1,29,1,6,1,30,1,29,1,30,2,29,1,28,2,26,1,28,2,27,1,30,1,28,29,29,1,30,2,27,2,6,4,13,1,7,2,8,1,7,1,13,1,8,2,9,1,13,1,24,1,13,1,9,6,8,1,9,3,10,1,8,2,9,1,10,1,9,1,8,1,9,1,10,1,9,1,11,1,24,1,8,2,24,1,8,1,24,1,25,1,8,1,24,1,25,1,28,28,29,1,6,1,30,1,6,1,13,1,9,1,8,1,9,2,12,1,17,3,12,1,17,10,12,1,9,2,8,1,9,1,11,2,9,2,10,1,9,3,17,1,9,1,12,1,17,1,12,1,11,1,17,1,9,3,8,1,24,1,13,1,8,2,9,1,8,1,13,1,9,1,13,1,9,2,11,2,16,1,17,1,16,3,11,1,9,1,8,1,9,4,11,1,9,1,10,1,9,2,10,1,13,1,8,1,13,1,7,1,29,1,6,1,25,1,6,1,7,1,8,1,24,1,7,1,6,1,29,1,13,2,29,1,6,1,7,1,13,1,6,2,13,1,8,1,13,2,29,1,7,2,6,1,29,1,13,1,8,1,29,1,9,1,8,1,24,1,13,1,9,1,13,1,9,2,8,1,9,4,8,1,16,1,11,2,9,7,10,1,11,3,10,1,9,2,8,1,9,1,8,1,10,1,9,5,10,1,11,1,10,1,16,1,11,2,16,1,11,1,9,1,11,2,16,4,17,1,11,1,10,1,17,1,9,1,13,1,9,2,8,2,9,1,11,1,16,3,11,1,17,1,9,2,11,2,17,6,16,1,17,2,12,1,11,1,17,4,11,1,17,7,11,1,17,1,11,1,17,1,11,1,12,1,11,2,12,1,17,2,10,1,11,2,17,4,12,4,17,1,11,1,17,1,12,1,17,2,12,2,17,3,12,1,17,1,10,1,11,1,17,1,12,1,11,1,17,2,11,2,17,1,11,1,10,1,11,1,10,1,11,1,12,1,10,1,17,1,10,1,24,1,9,1,8,1,9,1,11,1,9,1,8,1,12,1,9,1,11,1,9,1,12,2,11,1,9,1,11,1,12,1,11,2,12,1,11,1,10,1,17,1,11,1,10,1,12,1,11,2,12,1,10,2,12,1,17,1,12,1,17,1,11,1,17,6,12,1,17,1,11,1,12,1,24,1,9,1,12,1,17,3,9,1,13,1,9,1,12,1,10,1,17,1,8,1,17,1,12,1,11,1,17,1,12,3,17,2,12,1,11,1,12,1,10,1,12,1,8,3,13,3,6,2,30,1,6,2,28,1,7,2,28,1,7,2,8,1,13,1,8,3,9,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,9,1,17,1,9,1,17,2,12,1,10,1,11,1,17,1,11,1,17,1,10,2,17,1,12,1,10,1,17,2,8,1,17,1,11,2,17,3,11,1,17,34,12,2,17,6,12,1,17,1,12,2,17,2,12,1,17,4,12,2,17,1,12,1,17,6,12,1,17,12,12,1,17,2,12,2,17,1,12,1,17,2,12,1,8,1,17,1,10,3,9,3,10,3,8,1,9,1,24,1,8,1,6,2,7,1,28,1,30,1,28,4,13,1,33,1,5,11,13,1,28,10,8,1,14,1,17,1,12,2,11,1,10,1,9,1,8,1,24,1,13,1,8,1,6,1,29,1,6,2,9,2,16,2,13,1,28,5,13,1,14,1,9,1,13,1,7,1,6,1,30,1,28,14,}, {28,15,30,2,28,1,29,1,30,1,13,1,9,1,17,2,11,1,17,4,9,1,6,6,9,1,17,2,10,1,17,1,9,1,13,2,8,2,7,1,13,1,7,1,9,1,12,1,24,1,30,2,6,2,7,1,12,1,24,1,9,1,8,1,6,2,29,1,8,2,30,1,8,1,17,3,11,2,9,1,12,1,11,1,9,2,6,2,29,1,13,1,28,2,30,1,28,9,30,1,28,10,6,1,13,1,24,1,17,2,12,1,11,1,13,1,28,4,29,1,28,1,13,1,17,1,10,1,9,1,8,1,6,1,28,1,13,1,30,1,29,1,8,1,6,2,13,1,8,2,16,1,24,1,12,1,8,1,28,2,30,1,28,7,6,1,30,1,28,2,5,1189,28,3,13,1,6,1,13,1,6,2,13,1,28,5,30,1,28,4,30,2,29,1,6,1,30,2,6,1,7,1,13,1,6,1,9,1,13,2,9,1,13,1,28,15,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,5,29,1,6,1,8,1,13,1,7,1,9,1,8,1,12,1,9,2,17,1,9,1,11,1,12,1,17,1,11,2,12,1,17,21,11,1,7,1,24,1,17,2,12,2,17,1,13,1,9,1,13,1,9,1,17,39,16,1,17,2,16,1,17,2,16,2,11,1,16,1,17,4,16,1,17,25,16,1,11,1,17,27,11,1,9,1,12,2,9,1,11,1,9,2,10,2,9,1,10,1,9,1,11,1,9,1,12,1,8,1,24,1,9,1,8,1,9,2,10,2,9,2,12,1,9,1,10,1,13,1,8,2,24,1,8,4,9,4,10,1,9,2,10,2,9,1,10,1,11,1,10,1,11,2,12,1,17,1,12,1,11,1,8,1,7,1,13,1,8,2,7,4,13,1,7,1,8,1,13,1,7,1,8,1,13,2,8,1,13,2,6,1,7,1,13,2,7,2,6,1,8,1,13,2,8,1,13,1,8,1,13,1,8,2,13,1,7,1,6,1,13,1,8,1,13,4,7,1,8,2,9,2,8,2,24,1,13,1,9,1,8,1,13,1,8,1,24,1,8,1,13,1,8,1,13,2,8,1,7,1,24,1,8,1,10,2,13,1,8,2,9,1,13,3,6,5,30,1,29,1,30,2,29,2,25,1,29,2,28,1,29,1,28,30,30,2,29,1,28,1,27,1,29,1,25,1,6,1,7,1,6,1,7,2,13,1,7,1,8,1,13,2,8,4,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,8,2,9,3,8,2,13,1,24,1,9,2,10,2,11,1,9,1,24,2,8,3,12,1,17,1,8,1,28,29,29,1,30,2,7,1,8,2,9,2,11,1,9,1,10,1,17,2,12,1,17,2,10,1,12,2,9,1,12,1,17,2,12,1,17,1,12,1,8,2,9,1,13,1,9,1,8,1,13,1,9,1,8,1,9,2,7,1,9,1,11,1,9,1,17,1,9,1,11,1,9,1,11,2,9,1,11,1,10,1,9,1,10,1,9,2,13,1,11,1,9,1,10,1,11,1,16,1,17,4,11,2,16,1,11,1,9,3,11,1,9,1,11,1,9,2,12,1,9,2,8,2,24,1,8,2,6,2,7,2,8,1,7,1,8,1,25,1,7,1,6,1,29,2,7,1,6,1,7,1,29,1,8,1,24,1,13,2,7,1,13,2,6,1,8,1,6,1,8,1,13,1,8,5,9,1,8,1,9,2,12,1,9,1,13,1,10,1,8,1,9,4,12,1,9,2,16,1,9,1,10,1,11,2,12,1,11,2,9,1,11,1,8,1,9,1,8,1,9,2,8,1,9,3,12,2,9,1,10,1,11,1,9,1,16,2,9,1,11,2,9,2,10,1,16,2,11,1,9,1,11,2,9,3,11,4,16,2,17,1,16,1,11,2,9,3,11,1,17,3,12,1,16,2,12,1,17,10,11,1,17,1,11,1,17,2,11,1,17,1,11,2,17,1,11,3,12,1,9,1,11,1,12,1,17,1,11,1,12,2,17,1,10,1,12,2,17,1,12,1,11,1,12,2,11,1,17,2,12,1,17,4,12,1,17,1,9,1,12,1,17,2,12,1,11,1,17,1,12,5,11,1,10,1,12,2,17,1,10,1,11,1,9,1,12,1,11,2,10,1,11,1,10,2,9,1,12,1,10,2,11,1,9,1,10,1,17,1,11,1,10,1,17,1,11,1,10,1,11,1,12,1,17,1,11,1,12,3,10,2,11,2,10,1,12,1,10,1,17,9,12,1,17,1,12,1,13,1,9,1,11,1,12,1,17,2,10,1,13,2,11,1,12,2,17,1,11,1,10,1,12,1,11,1,12,2,17,6,12,1,9,1,24,1,13,2,7,2,13,2,7,1,6,1,13,1,7,1,30,1,29,1,30,2,7,1,13,1,24,2,8,1,10,1,24,1,11,1,10,1,11,1,17,4,12,1,17,4,10,1,12,1,17,1,12,2,11,1,17,2,11,2,12,1,11,1,12,1,17,1,9,1,17,4,12,1,17,36,12,1,17,5,12,1,17,1,12,1,17,12,12,1,17,22,11,1,17,2,11,1,17,3,11,1,17,1,9,2,12,1,10,1,9,2,11,1,24,1,10,2,9,1,8,1,24,3,7,1,13,2,30,1,13,1,30,1,28,4,13,1,5,10,13,1,28,9,29,1,9,1,17,4,12,1,10,1,12,1,8,1,24,1,13,1,8,1,6,1,29,1,13,2,10,1,8,1,17,2,13,1,28,5,9,1,17,1,24,1,6,1,8,1,30,2,28,14,}, {28,7,29,1,28,8,30,1,28,2,30,1,6,1,7,1,8,1,17,1,12,1,16,1,17,3,10,1,13,1,6,3,7,1,13,1,10,1,17,2,12,1,9,2,24,1,13,1,8,1,24,1,6,1,7,1,8,1,9,1,14,1,24,1,30,1,6,3,7,1,8,1,24,2,13,2,29,1,13,1,6,1,13,2,10,1,17,4,9,1,24,1,8,2,10,1,9,1,29,1,30,1,6,1,28,3,30,2,28,18,30,2,8,2,9,1,17,2,11,1,29,1,28,1,29,1,30,1,28,1,30,1,28,1,8,1,9,1,10,2,13,1,6,1,13,2,6,3,13,1,8,1,6,1,13,2,8,1,10,1,16,1,9,1,6,1,28,10,6,1,28,2,5,1188,13,1,30,1,6,1,7,1,6,2,7,1,13,1,29,1,28,5,30,1,28,4,29,1,6,1,30,2,6,2,7,1,29,1,7,1,13,1,8,1,17,1,8,1,30,1,13,2,28,12,13,1,28,2,6,1,30,1,28,10,30,1,28,5,29,2,13,1,7,1,24,1,6,1,24,1,12,1,24,1,11,1,9,1,10,1,11,1,12,1,17,1,11,1,17,23,10,1,6,2,17,6,10,1,13,1,24,1,17,1,9,1,8,1,17,27,16,1,17,1,16,2,17,1,16,1,17,1,16,1,11,2,17,2,11,1,16,1,17,5,16,2,11,1,16,2,17,1,16,1,17,1,16,3,17,50,12,2,9,1,12,1,10,1,12,1,10,3,9,2,10,2,12,1,9,1,11,1,9,2,24,1,10,1,24,1,9,1,24,1,17,1,10,1,9,1,8,1,9,1,24,2,8,1,24,1,9,2,11,1,8,1,9,2,11,1,8,1,9,1,10,1,9,2,11,3,12,1,11,1,12,1,11,1,12,1,9,1,24,1,7,1,29,1,6,1,30,1,7,1,13,3,7,2,6,1,7,1,29,1,8,1,6,2,8,1,7,3,13,1,7,1,6,1,13,2,6,1,13,2,7,2,13,1,6,1,13,1,7,1,8,1,13,1,8,1,24,1,9,2,13,1,7,1,6,1,13,1,8,1,13,1,8,1,13,1,8,2,24,1,9,1,8,4,24,1,10,1,9,1,24,1,8,2,13,2,6,1,7,1,8,1,24,1,13,1,8,2,24,1,13,1,24,2,13,1,9,1,13,1,7,1,8,1,6,1,29,1,6,1,29,2,6,2,29,1,28,3,30,2,28,2,29,1,28,27,30,1,28,1,29,2,27,1,26,1,6,1,29,1,7,1,13,1,8,1,13,1,7,1,8,1,7,1,13,1,8,4,9,1,8,1,9,1,8,1,13,1,9,1,8,1,9,3,13,1,8,2,9,5,8,2,9,2,12,1,9,1,10,1,8,1,24,1,9,2,8,1,17,1,12,1,29,1,30,1,28,29,6,1,30,1,7,1,8,1,24,1,8,1,12,1,9,1,17,4,12,2,17,3,12,1,11,1,12,1,11,1,12,1,17,1,11,1,9,3,8,4,24,2,8,1,24,1,13,2,10,1,13,1,10,2,9,1,10,1,12,1,11,2,17,1,11,1,17,1,12,1,17,1,9,1,11,1,9,1,11,3,16,2,17,3,16,1,17,3,11,1,10,1,11,1,10,1,11,1,8,1,9,3,24,1,8,1,9,1,24,1,8,3,6,1,7,1,29,3,25,1,7,1,6,1,7,1,25,1,30,1,13,1,8,1,7,1,8,2,13,1,9,1,13,1,10,1,13,1,9,1,13,1,8,1,13,2,24,1,8,1,24,2,7,1,13,1,8,1,13,1,9,4,8,1,9,1,10,1,17,1,9,2,10,1,9,1,11,1,9,1,12,1,9,5,11,1,10,2,9,1,11,1,9,1,12,1,9,1,13,1,8,1,9,1,13,1,8,1,10,1,13,1,9,1,12,1,9,1,13,1,11,1,10,1,8,1,11,1,9,1,11,1,9,1,16,1,17,2,11,1,10,2,11,3,9,1,11,1,9,1,11,2,17,1,11,1,17,1,16,2,17,1,16,1,11,1,9,2,11,1,17,2,11,1,16,1,17,2,11,2,17,2,11,1,17,1,16,1,17,5,11,1,17,5,12,1,17,5,12,1,17,1,11,1,9,1,11,1,17,1,11,1,17,1,10,1,12,2,17,1,12,1,17,3,12,1,17,1,11,1,12,1,17,5,12,1,17,2,11,1,17,2,12,1,17,1,12,1,10,1,11,1,17,1,12,1,11,1,12,3,11,1,10,1,12,1,9,1,12,1,10,1,9,2,11,1,9,1,12,1,9,1,10,1,9,3,17,1,10,1,11,1,9,2,11,1,10,2,12,1,17,1,11,1,12,2,11,1,12,2,11,1,10,1,11,1,12,1,17,13,10,1,17,1,10,1,9,1,10,1,12,1,17,2,9,1,11,1,13,1,11,1,12,1,10,1,12,1,17,2,11,1,12,1,11,1,17,5,10,1,17,1,10,1,12,1,9,1,10,1,24,1,7,3,8,1,7,1,29,1,7,1,13,1,30,2,6,1,30,2,7,1,13,1,8,1,24,1,13,1,10,1,12,1,17,1,12,1,10,1,17,2,11,1,12,1,17,1,10,1,17,3,12,1,17,1,11,1,17,1,12,1,17,3,12,2,17,1,12,1,17,1,12,1,17,50,12,1,17,14,12,1,17,18,12,1,17,1,12,2,17,4,11,1,17,4,12,2,11,2,9,1,10,1,12,1,9,2,12,1,9,2,24,1,13,1,8,1,7,2,30,2,6,1,28,4,33,1,5,9,13,1,28,8,30,2,16,1,17,3,10,1,17,1,12,1,24,2,13,1,8,1,6,1,29,1,13,1,8,1,24,1,10,1,8,1,17,1,10,1,13,1,28,5,8,1,14,1,8,1,6,1,7,1,29,1,6,1,29,1,28,13,}, {28,9,30,2,28,5,30,1,28,3,6,1,13,1,12,1,9,1,11,1,16,1,17,3,9,1,7,1,6,2,13,1,29,1,6,1,8,1,17,2,9,1,24,1,8,1,13,3,6,1,13,1,29,1,6,1,15,1,14,1,13,1,29,1,30,3,7,1,9,1,17,1,12,1,13,1,8,1,7,1,6,1,13,2,24,1,8,1,17,4,9,1,10,1,9,3,8,1,7,1,29,1,30,1,29,1,28,11,30,1,28,4,30,1,28,5,30,1,6,1,13,1,24,2,17,1,12,1,9,1,6,1,29,1,28,1,30,3,28,1,13,1,12,1,15,1,12,1,8,1,13,2,6,1,7,1,24,1,29,1,8,1,30,1,7,1,13,1,24,1,9,1,17,2,12,1,30,1,28,8,6,1,29,2,28,2,33,1,5,1186,28,2,6,3,13,1,29,1,6,2,28,1,30,2,28,4,30,1,28,2,7,1,6,1,30,2,6,4,30,1,13,1,30,1,11,2,13,1,6,1,13,1,28,13,13,1,28,2,7,1,28,1,30,1,28,2,30,1,28,11,29,1,28,1,6,1,7,2,8,1,11,1,8,1,13,1,12,1,10,1,12,1,10,1,9,1,17,1,11,3,12,1,17,1,11,1,17,12,16,1,17,5,11,1,7,1,30,1,24,1,17,2,12,1,10,1,9,1,12,1,17,2,10,1,6,1,8,1,9,2,17,18,16,2,17,1,16,1,17,1,16,1,17,2,16,1,11,1,17,1,16,1,17,1,11,1,16,1,11,1,16,2,17,2,16,4,17,1,16,1,17,2,10,1,11,1,16,7,17,35,16,1,17,15,11,1,17,2,10,1,11,2,10,1,12,1,11,1,9,1,10,1,9,1,11,1,10,1,11,1,9,1,11,1,9,3,8,1,9,2,24,1,8,1,24,1,13,2,8,3,24,1,9,1,8,1,9,3,11,1,9,1,8,1,11,1,8,1,9,1,8,1,12,1,9,1,12,1,11,1,12,2,10,1,9,1,13,2,6,3,29,1,7,2,24,1,7,1,6,1,13,1,6,1,24,1,6,1,13,2,7,1,13,1,8,1,7,2,13,1,7,1,29,1,7,3,6,1,7,1,13,5,8,2,13,1,9,1,8,1,24,2,9,1,10,1,8,1,13,1,24,1,13,1,8,2,9,1,8,4,24,1,8,1,9,1,8,2,9,1,24,1,9,1,13,2,8,1,13,1,7,1,13,1,8,2,9,1,8,1,24,1,8,1,24,3,7,2,13,1,7,2,6,1,29,1,6,1,30,1,29,1,30,2,29,1,30,2,29,2,30,1,29,1,28,30,29,1,30,1,29,2,7,2,13,1,6,1,13,2,7,1,13,3,8,1,13,1,8,1,9,3,8,4,9,1,8,1,9,1,8,2,10,1,8,1,11,1,8,2,9,1,10,1,9,3,11,2,9,1,12,1,9,1,8,2,24,1,17,2,10,1,29,1,30,1,28,28,29,1,30,1,6,1,13,1,29,1,12,1,24,1,12,1,9,1,10,1,17,1,12,5,9,1,11,1,9,3,17,1,12,1,17,1,12,1,17,1,12,1,8,1,9,2,8,1,13,2,8,1,24,1,9,1,13,1,8,2,9,2,10,3,11,1,9,2,12,1,11,1,12,1,17,2,12,1,16,1,17,1,11,1,16,1,17,9,16,1,17,1,9,2,10,1,9,1,10,1,9,3,8,1,11,1,9,1,8,3,7,1,13,2,6,1,25,1,26,1,6,1,25,1,26,1,6,1,7,1,6,1,30,1,13,1,29,1,7,1,24,1,9,1,10,1,9,2,8,1,24,1,8,6,7,1,13,1,8,2,13,2,9,1,8,1,9,1,10,1,11,1,8,2,9,1,13,1,9,2,11,1,9,1,12,1,9,4,10,1,9,1,12,1,9,1,11,1,16,1,9,1,10,2,9,2,8,3,9,1,13,1,9,3,11,1,9,3,8,1,9,1,11,1,9,1,16,1,17,1,11,5,16,1,17,1,11,2,17,1,11,1,17,3,11,1,17,3,9,1,10,1,16,1,10,1,11,3,17,2,11,4,17,13,11,1,17,5,12,1,17,1,11,1,17,1,10,1,12,2,10,2,11,2,17,1,11,1,17,1,11,1,9,1,11,1,17,3,12,2,17,1,11,1,12,4,17,1,11,1,17,2,11,2,12,1,17,1,11,2,12,2,11,2,12,1,17,1,10,1,11,1,17,1,11,3,12,1,9,2,11,1,12,1,10,1,9,1,11,1,10,1,11,2,12,2,11,1,10,1,9,1,11,1,17,1,10,1,11,3,12,1,11,3,10,1,11,1,10,1,9,1,10,1,17,14,11,1,10,1,13,1,9,2,17,3,16,2,30,1,10,1,11,1,17,1,11,1,12,1,11,1,17,1,10,1,12,1,17,1,12,1,17,1,11,1,10,1,17,1,12,3,24,1,9,1,10,1,7,2,13,2,7,1,13,1,6,4,13,1,6,2,13,1,8,1,9,1,11,1,9,3,10,1,17,1,11,2,17,1,12,2,17,2,9,1,17,4,12,1,10,1,12,1,11,1,17,3,12,1,17,1,11,1,12,1,17,30,12,1,17,34,12,1,17,1,12,1,11,1,17,2,12,1,17,1,12,1,17,2,11,1,17,9,12,2,17,5,11,1,17,1,12,1,11,1,17,2,11,1,12,1,11,1,10,2,12,1,10,1,9,2,10,1,8,1,24,2,8,1,30,1,7,3,6,1,28,5,5,9,13,1,28,10,16,1,17,1,11,1,17,1,12,1,10,2,9,1,8,1,7,1,13,1,29,1,6,1,30,1,8,1,9,3,10,1,17,1,29,1,28,4,30,1,8,1,14,1,13,1,6,1,8,1,6,2,30,1,28,13,}, {28,17,30,3,29,1,7,1,10,1,8,1,10,1,16,1,17,3,11,1,7,2,8,1,6,1,13,2,24,1,17,2,9,2,8,1,13,2,24,1,8,1,6,3,15,1,14,1,9,1,13,1,6,3,7,1,8,1,17,1,12,1,8,1,6,2,13,1,6,1,29,1,13,1,11,1,10,1,17,2,11,2,13,1,10,1,15,1,10,1,24,1,6,1,29,1,28,1,30,1,28,19,29,1,28,4,13,1,12,1,9,1,17,3,9,1,29,3,30,1,28,1,30,1,7,1,12,3,24,1,13,1,6,1,13,1,6,2,7,1,30,2,28,1,7,2,9,1,12,1,17,1,16,1,13,1,30,1,28,4,30,3,28,1,30,1,6,1,28,2,33,1,5,1185,28,1,6,2,7,1,30,1,6,2,13,1,6,2,28,6,30,1,28,4,6,2,28,1,30,1,6,1,30,1,7,1,13,1,7,2,11,1,13,1,6,1,13,2,28,12,29,1,28,2,13,1,29,1,30,2,28,6,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,7,1,8,2,13,1,9,1,24,1,8,1,12,1,9,1,12,1,8,1,9,1,12,1,10,1,17,1,12,3,17,19,8,1,29,2,12,1,17,3,12,1,10,2,12,1,17,3,13,2,30,1,9,1,17,20,16,1,17,1,11,3,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,1,17,2,16,2,17,5,16,2,9,1,11,1,16,6,17,1,16,1,17,36,11,1,17,15,12,1,17,3,10,1,11,1,10,1,11,1,9,1,11,1,10,2,9,1,11,2,12,1,9,1,10,1,9,1,10,1,24,1,13,1,7,1,8,1,13,1,8,2,24,1,8,2,9,1,10,1,9,1,8,1,9,1,8,1,9,2,10,1,9,1,11,2,12,1,17,2,12,1,10,1,9,1,24,1,7,1,13,1,29,2,6,1,29,1,30,1,6,1,29,1,13,1,8,2,29,1,8,1,29,2,7,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,6,1,13,1,6,1,7,1,6,1,7,2,8,2,13,1,8,1,13,1,9,1,24,1,8,1,10,2,8,1,10,1,9,1,8,1,9,1,8,3,9,1,8,2,13,1,7,1,9,1,8,1,9,3,24,1,9,1,8,1,10,1,24,2,13,2,7,1,8,1,13,1,8,2,9,1,13,1,24,1,13,1,8,1,24,2,13,2,7,2,13,1,6,1,13,1,30,1,29,1,7,1,6,1,29,1,6,1,27,1,28,1,30,1,28,3,30,1,29,2,28,1,30,1,28,24,30,2,26,1,29,1,27,1,25,1,6,2,7,1,13,3,24,1,8,3,9,2,10,1,9,4,13,1,9,2,8,1,9,1,13,1,9,1,13,1,9,2,10,2,12,1,9,1,11,1,10,1,9,1,8,1,9,1,10,1,11,1,9,1,11,1,8,1,9,1,24,1,17,2,24,1,6,1,28,1,30,1,28,24,29,1,30,2,29,1,30,1,6,1,7,1,13,1,24,1,8,1,24,1,9,1,17,1,12,1,10,1,17,4,12,1,17,1,24,2,17,1,24,1,10,1,24,1,9,1,17,1,9,1,8,1,13,1,8,2,24,1,8,2,13,1,9,1,8,1,13,1,24,1,9,2,11,1,17,1,12,1,11,3,10,1,12,1,11,1,16,1,17,2,16,2,11,1,17,1,16,3,17,5,11,1,17,1,11,1,10,1,9,1,11,2,9,1,11,1,9,1,11,1,13,1,9,1,11,1,8,1,13,3,29,2,25,1,6,1,25,2,28,1,8,1,29,1,6,1,29,1,6,2,8,4,9,2,10,1,8,2,9,1,8,1,24,1,8,1,9,1,13,1,8,2,13,1,10,1,9,1,13,1,9,2,13,1,9,2,8,1,9,1,10,1,9,1,10,1,9,1,11,1,8,1,9,4,10,1,9,1,11,1,12,1,11,1,9,1,11,3,9,1,11,1,10,1,9,6,10,1,9,1,13,1,9,3,13,1,8,1,16,1,9,1,16,2,11,1,17,2,11,1,16,1,11,1,17,1,16,1,11,4,17,1,11,4,16,2,10,1,11,1,9,1,11,1,17,3,11,1,10,1,11,2,10,1,12,2,11,1,17,2,10,1,17,6,12,1,17,3,12,1,17,2,9,1,17,3,12,1,17,1,11,1,17,1,11,4,17,1,11,1,17,2,12,1,11,1,12,1,17,4,11,2,17,2,12,1,17,1,12,1,11,1,17,1,11,1,17,1,12,1,11,2,17,1,11,2,12,1,17,1,12,1,11,1,17,1,11,1,10,4,12,1,17,1,9,3,12,1,8,1,10,1,11,1,17,1,12,1,10,1,11,2,12,1,11,1,17,1,12,1,10,3,11,1,12,1,17,1,9,1,10,1,12,1,10,1,11,1,17,15,12,1,8,1,11,1,10,1,11,1,12,1,11,1,17,1,11,1,5,1,16,1,30,1,17,1,12,1,17,3,9,1,12,1,9,1,17,1,10,1,17,1,12,1,17,2,12,1,17,1,11,1,12,2,24,1,8,1,13,1,8,1,13,1,6,1,8,1,29,1,7,3,13,1,30,1,13,2,8,3,13,1,9,1,12,1,17,1,12,1,17,1,10,1,17,1,11,1,17,1,12,1,17,2,12,1,17,1,10,2,12,1,17,1,12,4,9,1,17,1,11,1,17,34,12,1,17,2,11,1,17,4,12,1,17,8,12,1,17,16,12,1,17,8,10,1,17,2,12,1,17,8,10,1,17,1,12,1,17,1,12,2,17,1,11,1,12,1,17,2,12,3,11,1,10,1,11,1,12,1,9,1,10,1,17,1,9,1,13,1,10,1,9,1,13,1,9,1,6,1,13,1,6,4,28,5,5,8,30,1,28,10,16,1,17,3,11,1,17,1,11,1,8,1,9,1,8,1,6,1,13,1,30,1,29,1,6,1,9,1,8,1,11,1,12,1,17,1,28,6,10,1,14,1,6,2,29,1,6,1,28,1,6,1,28,13,}, {28,16,30,2,28,1,30,2,13,1,9,1,12,1,10,1,11,1,17,3,9,1,13,1,8,1,6,4,8,1,17,2,11,1,9,1,8,2,6,2,8,1,6,3,9,1,14,1,8,1,29,2,28,1,30,1,6,1,9,1,10,1,15,1,9,1,13,2,6,2,13,2,6,1,11,1,17,3,8,1,9,1,13,1,9,2,13,1,6,1,30,2,28,2,30,3,28,15,29,1,28,2,29,1,6,1,13,1,9,2,17,3,15,1,28,1,7,1,6,1,29,2,30,1,6,1,12,2,9,1,8,1,6,1,29,1,6,1,13,1,6,1,7,1,29,2,6,1,13,1,8,1,24,1,16,1,12,2,6,1,28,1,30,1,28,6,6,1,30,1,13,1,28,2,13,1,5,1184,30,1,6,2,29,1,13,1,6,1,13,2,30,2,28,10,30,1,6,1,30,1,29,1,30,1,29,1,28,1,13,1,7,1,13,1,6,1,13,1,17,1,28,1,13,1,6,2,30,1,28,11,30,1,28,1,6,1,30,1,28,16,30,1,28,2,6,1,13,1,8,2,10,1,8,1,9,1,11,1,9,2,11,1,9,1,10,1,9,1,11,1,17,2,12,1,11,1,17,17,11,1,6,1,28,1,6,1,17,5,13,1,24,4,17,2,8,1,28,1,7,2,11,1,17,20,16,2,11,1,16,1,9,1,11,1,16,3,17,1,16,6,17,2,11,1,17,1,11,1,16,1,11,3,16,1,17,2,11,1,17,40,11,1,17,16,11,1,17,2,11,2,9,1,10,2,11,2,10,1,12,1,24,1,12,2,9,3,13,1,9,1,8,1,9,1,13,1,9,1,24,2,8,1,9,1,8,1,9,2,11,1,10,1,11,1,12,1,9,1,17,1,12,1,11,1,10,2,11,1,8,1,24,1,8,2,6,1,13,1,6,1,13,1,6,1,29,1,6,2,7,1,30,1,7,1,13,1,7,2,6,1,7,2,13,2,6,2,13,1,7,1,6,2,13,1,6,1,13,1,6,1,13,2,8,1,24,1,8,1,24,1,10,1,9,2,8,1,9,3,11,1,8,1,9,2,10,1,9,2,11,1,8,1,9,1,8,2,9,1,24,1,8,1,9,4,24,1,11,1,9,1,8,1,9,1,8,2,13,3,8,1,13,1,9,1,24,1,9,2,13,1,9,1,24,1,13,2,6,1,13,1,6,2,13,1,7,1,6,1,29,1,30,1,6,1,30,1,28,4,30,1,28,30,29,1,30,2,29,1,26,1,29,1,13,1,7,1,13,2,8,2,13,1,8,1,9,1,8,1,9,3,8,1,9,1,13,1,9,5,8,1,9,1,8,1,9,2,10,1,12,1,11,1,9,1,10,1,8,1,9,3,13,1,11,1,9,1,10,2,9,2,10,1,17,2,8,1,28,28,30,1,29,1,6,1,29,1,6,1,7,1,13,1,8,1,24,3,12,1,10,1,12,1,11,1,10,1,17,1,12,1,11,1,9,1,10,1,12,1,24,1,9,1,8,2,17,1,12,1,17,1,12,1,9,1,24,1,8,1,24,1,13,1,8,1,24,1,13,1,24,1,8,1,9,1,10,1,17,1,11,1,9,2,8,1,10,1,9,2,10,1,11,3,16,1,17,1,16,2,17,1,16,1,17,8,16,1,11,1,16,1,8,1,10,2,9,1,10,1,9,3,8,1,10,1,8,1,24,1,13,1,8,2,24,2,8,1,29,1,27,1,29,1,27,1,26,1,29,1,25,1,13,1,8,2,9,2,8,1,13,1,9,1,12,1,8,1,11,1,9,1,8,1,9,3,8,1,13,2,9,1,13,1,9,2,11,1,9,2,11,1,9,1,10,1,9,2,10,1,11,1,9,3,11,1,9,1,8,1,9,1,11,1,9,1,10,1,8,1,10,1,9,2,11,1,10,1,8,1,11,2,10,1,11,1,9,2,11,1,9,5,8,1,9,4,16,3,17,1,16,1,17,1,16,1,17,2,11,3,17,1,11,1,17,1,11,2,9,1,11,3,9,1,11,2,17,1,11,1,16,1,17,3,12,1,11,2,12,1,17,4,11,1,17,7,11,1,12,1,17,7,11,1,17,1,9,1,11,1,9,1,12,1,11,1,17,1,11,2,12,2,11,1,17,2,11,2,17,3,10,1,17,1,12,1,17,4,9,1,17,4,12,1,11,3,17,1,12,2,11,2,17,1,12,1,17,2,11,3,12,1,17,1,11,2,10,2,17,1,12,1,8,1,24,1,9,1,12,1,10,1,9,1,11,1,10,1,12,1,9,1,17,1,11,2,17,1,9,1,10,1,11,1,12,1,17,18,8,1,10,1,24,1,9,1,8,1,10,1,17,1,11,1,16,1,5,2,28,1,17,1,12,1,17,2,12,1,11,1,12,1,11,1,17,1,11,2,17,5,12,1,9,1,10,1,24,1,9,1,13,1,8,2,13,2,7,1,6,3,29,1,7,2,8,1,13,1,10,2,9,1,11,2,12,2,17,9,12,1,17,2,12,1,17,1,12,1,17,2,10,1,17,1,10,1,17,29,11,1,17,4,10,1,17,16,12,1,17,3,12,1,17,15,12,1,17,6,12,1,17,5,12,2,17,3,12,3,11,1,17,1,12,2,11,2,10,1,12,1,10,1,17,1,12,1,10,5,12,1,10,1,9,4,10,1,13,1,8,1,13,1,8,1,6,1,29,1,6,2,30,1,7,1,28,4,5,7,28,10,6,1,10,1,14,1,17,1,16,1,12,1,17,1,12,1,9,1,24,1,13,1,6,2,29,1,7,2,13,1,10,1,12,1,17,1,12,1,7,1,28,5,9,1,14,1,13,1,6,1,30,2,29,1,28,14,}, {28,14,30,1,28,3,30,2,28,1,8,1,10,1,12,1,11,1,12,1,11,1,17,2,9,1,8,1,13,1,28,2,13,1,29,1,8,1,17,2,10,1,13,1,8,1,24,1,8,1,24,1,7,2,13,1,7,1,8,1,14,1,9,1,13,1,29,1,6,1,29,1,6,1,13,1,9,1,11,1,10,1,8,2,13,1,29,1,13,1,6,1,7,1,11,1,17,3,10,1,9,1,24,1,11,1,9,1,10,1,6,1,28,1,6,1,28,1,30,1,28,5,30,2,28,12,6,1,29,1,28,1,13,1,8,1,9,1,10,1,17,2,14,1,24,1,29,1,30,1,29,1,30,2,29,1,13,1,24,1,12,1,10,1,8,3,10,1,13,2,6,3,30,1,6,1,11,1,9,1,17,2,12,1,24,1,29,1,30,1,28,7,6,2,28,2,13,1,5,1183,6,1,7,1,9,2,6,3,8,1,13,1,29,1,30,1,28,6,30,1,28,2,30,1,29,1,6,3,29,1,6,2,7,1,6,1,7,1,13,2,10,1,30,1,6,1,13,1,6,1,28,14,13,1,28,1,30,1,28,13,30,1,29,1,28,1,30,1,28,1,6,1,13,1,24,4,9,1,11,1,12,1,9,2,12,1,17,1,9,1,10,1,12,1,17,3,12,1,17,16,24,1,30,1,28,1,8,1,17,5,8,1,13,1,6,1,8,1,24,1,12,1,17,2,8,2,7,1,13,1,17,22,16,1,17,1,16,1,17,11,16,2,17,1,11,1,17,1,9,1,11,1,17,3,11,1,17,44,16,1,11,2,17,13,12,1,17,1,12,1,17,1,11,1,12,1,9,1,10,1,9,1,11,1,9,1,11,1,10,1,9,4,8,1,9,1,13,1,24,1,8,1,9,1,8,1,9,1,10,1,9,1,8,1,10,1,9,1,10,3,11,2,10,1,9,2,24,1,8,1,9,1,7,1,6,1,13,1,6,1,13,1,6,3,7,1,6,2,29,1,7,2,6,1,24,1,13,1,7,2,13,1,6,1,8,1,7,3,13,1,8,1,30,1,8,1,7,1,13,1,8,1,24,1,10,1,17,2,11,1,17,2,12,1,17,16,12,1,17,9,8,1,9,1,24,1,8,2,9,2,8,1,9,1,8,1,9,1,8,1,9,1,8,5,13,5,7,3,6,1,29,4,30,1,29,2,28,31,30,1,27,1,29,1,6,2,7,1,13,1,7,1,13,1,7,1,8,1,13,1,8,2,24,2,8,2,17,2,11,1,17,5,16,1,12,1,17,1,16,1,17,1,16,1,17,3,10,1,11,1,10,1,11,1,9,1,8,1,9,3,11,2,12,1,9,2,12,1,17,2,29,1,28,1,29,1,28,2,30,1,28,3,29,1,30,1,28,1,29,1,28,2,30,1,28,10,30,3,29,1,6,1,28,1,6,2,13,2,8,1,24,1,13,1,24,1,8,1,9,1,12,1,17,1,12,1,9,1,12,1,10,1,12,1,10,1,24,1,9,2,17,3,10,1,17,1,11,1,24,1,8,1,24,1,9,1,8,1,10,1,24,1,8,1,13,1,10,1,9,3,12,1,10,1,9,2,8,2,9,1,8,1,12,1,11,1,16,3,17,2,16,1,17,1,16,2,17,2,16,1,17,4,16,1,10,1,9,5,8,2,9,2,8,1,10,1,8,1,24,1,7,1,30,1,7,2,29,2,30,2,29,1,6,2,30,1,13,1,6,1,13,1,8,1,13,1,10,1,9,6,11,1,8,1,9,3,11,1,9,1,8,1,13,1,10,2,9,3,8,1,9,2,10,1,11,1,9,3,8,1,11,1,9,1,13,1,9,1,13,1,9,2,10,1,11,1,9,1,11,1,12,1,9,1,11,4,9,1,11,2,9,1,11,2,9,1,11,1,10,1,9,2,8,1,9,1,13,1,9,2,16,1,11,1,16,1,17,2,16,1,11,1,17,1,16,1,11,4,9,1,11,2,16,1,9,2,17,1,11,1,17,1,11,1,10,1,11,2,10,1,11,2,12,1,11,1,17,1,16,1,12,1,17,5,11,1,17,6,12,2,17,2,12,1,17,2,11,1,12,1,11,1,17,1,9,1,12,1,17,1,12,1,11,3,10,1,17,1,9,1,17,1,12,1,11,2,17,7,12,1,17,2,11,1,10,1,12,1,11,1,12,1,17,1,12,2,17,1,11,1,12,1,17,1,10,1,17,1,10,2,11,1,9,1,10,1,17,1,12,1,10,1,12,1,10,2,12,1,9,2,11,2,9,1,11,1,9,3,11,1,10,1,11,1,12,1,11,4,12,1,17,14,12,2,17,4,12,1,24,1,9,4,17,2,11,1,16,1,5,2,13,1,17,1,11,1,17,1,12,1,17,1,12,3,10,1,17,1,10,1,17,1,11,1,12,4,24,1,9,1,10,1,9,1,13,1,6,2,13,1,6,1,13,1,6,1,13,4,7,1,8,1,11,1,9,1,8,1,10,1,11,1,17,2,12,1,17,1,11,1,17,1,11,1,17,3,12,1,17,2,11,1,17,1,12,1,17,1,12,1,17,2,10,1,17,31,11,1,17,14,12,1,17,6,12,1,17,2,12,1,17,1,12,2,17,34,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,9,1,11,1,9,1,11,1,10,1,11,1,12,2,10,1,24,1,9,1,12,1,8,1,12,1,8,1,13,2,24,1,6,2,8,1,29,1,6,1,30,1,28,3,5,7,28,10,30,1,9,1,17,2,12,1,17,1,12,1,9,2,24,1,7,1,6,1,7,1,29,1,30,1,7,1,10,1,12,1,17,2,9,1,28,6,15,2,13,1,6,2,29,1,30,1,28,14,}, {28,18,6,1,29,1,7,1,13,1,9,2,11,1,12,1,9,1,16,1,17,1,9,1,24,1,29,1,30,1,29,1,30,1,7,1,13,1,17,2,12,1,13,2,11,1,24,2,8,1,6,3,8,1,14,1,24,1,6,1,30,1,29,1,30,1,7,2,17,2,12,1,6,1,28,1,6,2,13,3,24,1,17,3,10,1,8,2,9,3,13,1,28,1,30,2,28,5,30,1,28,9,30,1,28,6,6,2,24,1,10,1,9,1,17,2,14,1,9,1,30,2,29,1,30,2,7,2,10,1,8,1,12,1,8,3,24,1,8,1,6,3,28,1,6,1,29,1,9,1,10,1,12,1,17,1,9,1,8,1,28,6,30,2,28,2,30,2,28,1,6,1,5,1182,28,1,30,1,7,1,9,1,13,1,7,1,10,1,29,1,7,2,28,2,30,1,28,7,30,1,28,1,7,1,30,2,6,1,30,1,6,1,7,2,6,1,7,1,6,1,13,1,9,1,30,1,6,1,9,1,30,1,28,10,30,1,28,2,6,1,28,19,30,1,7,1,6,1,13,1,12,1,8,1,12,2,9,2,12,1,10,1,12,1,17,1,8,1,11,1,12,1,9,1,10,1,12,2,11,1,17,15,10,1,13,1,28,2,17,4,12,1,10,1,6,1,7,1,26,1,27,1,6,1,24,1,10,1,12,1,10,1,12,1,24,1,6,1,13,1,17,35,11,1,16,1,9,1,16,1,17,1,16,1,17,2,16,1,17,46,16,1,17,1,16,2,17,3,11,1,17,3,11,1,16,1,17,7,11,3,10,1,9,1,10,1,9,1,12,1,9,2,17,1,11,1,9,1,8,1,24,1,9,2,8,1,24,1,9,2,10,1,24,1,9,3,17,1,24,1,11,1,9,1,11,1,24,1,13,1,8,1,7,1,13,1,7,4,13,1,6,5,7,1,29,1,13,1,7,1,8,1,24,1,8,4,13,1,7,1,13,1,7,1,6,1,13,1,6,1,13,2,8,2,13,1,8,1,11,1,16,1,17,5,11,1,17,2,9,3,13,1,6,1,30,1,6,2,13,1,7,1,10,1,13,2,12,1,17,1,11,1,8,1,11,1,17,10,12,1,11,1,12,1,17,2,11,2,10,1,8,1,24,1,13,1,9,1,8,4,24,1,8,1,13,2,8,1,29,1,6,1,7,1,6,1,29,2,30,3,28,1,30,1,28,8,30,1,28,18,30,1,27,1,30,1,29,1,6,1,7,4,13,2,24,1,13,1,8,1,9,1,13,1,9,1,24,2,12,3,17,1,10,1,16,1,17,3,16,1,17,14,9,1,8,1,10,1,9,1,10,1,11,1,9,2,17,3,6,1,30,1,28,4,30,1,29,1,26,1,29,1,30,1,28,13,30,1,28,2,29,1,30,3,6,1,7,1,30,1,6,1,7,1,13,2,24,1,12,1,24,1,9,1,10,1,9,1,17,1,24,1,9,1,8,1,9,1,12,1,8,1,9,1,8,1,11,2,17,1,12,1,17,2,9,1,13,1,24,6,9,2,12,1,9,2,12,1,9,1,8,2,13,1,8,1,9,1,8,1,10,1,9,1,11,2,16,1,11,1,16,2,11,1,16,1,17,1,16,1,17,7,11,1,10,1,13,1,9,3,10,1,9,1,8,1,9,1,10,2,8,1,9,1,8,2,13,1,25,1,29,2,27,2,30,1,29,1,7,1,13,1,6,1,24,1,8,1,24,1,9,2,10,1,9,5,8,1,10,1,9,1,13,1,9,3,12,1,9,3,11,1,10,1,13,1,11,1,10,4,8,1,9,1,10,1,9,1,10,1,11,1,8,1,9,1,13,1,9,2,10,1,12,1,11,2,12,1,10,1,9,1,11,1,10,1,9,2,11,1,10,1,9,1,11,4,9,1,10,1,11,1,9,3,11,1,13,1,9,1,11,1,16,4,17,3,11,1,16,1,17,1,16,4,11,1,16,1,11,1,16,1,17,2,11,1,10,2,11,4,16,1,11,1,17,2,16,1,17,3,11,1,17,1,11,1,17,3,11,1,17,1,12,1,17,1,11,2,17,1,11,1,17,4,12,4,11,1,17,1,11,1,12,2,10,1,17,1,11,1,17,2,11,1,17,1,11,1,17,1,11,1,17,2,12,2,11,1,12,1,17,2,11,1,17,1,12,3,17,1,12,1,10,1,12,1,10,1,12,1,11,1,12,2,9,1,10,1,12,1,9,1,12,2,10,3,11,1,10,1,11,2,10,1,11,1,10,1,12,1,9,1,12,1,11,2,10,2,17,1,9,1,11,2,12,1,17,12,10,1,13,1,9,1,10,1,17,5,12,1,10,1,8,1,9,1,11,1,17,1,12,1,17,1,16,1,5,2,28,1,9,1,11,1,12,1,17,1,12,1,11,1,17,1,9,1,10,1,12,1,17,4,12,2,9,1,17,1,24,1,9,1,10,1,24,1,8,1,9,1,13,1,30,1,6,1,7,1,13,2,29,1,7,1,13,1,7,1,24,2,12,1,10,1,24,1,17,1,12,2,9,1,17,1,11,1,17,1,12,1,17,6,12,1,17,2,12,1,11,1,17,63,12,1,17,12,11,1,17,3,12,1,17,12,10,1,12,1,17,9,11,1,12,1,10,1,9,1,10,1,11,1,8,1,17,1,9,1,11,1,9,1,12,1,10,1,11,1,10,1,8,2,13,1,8,1,24,1,13,3,7,2,6,1,30,2,28,2,13,1,5,6,28,10,29,1,9,1,12,1,17,1,16,1,17,1,12,1,10,1,24,1,8,1,29,1,6,4,8,1,10,1,9,1,17,2,8,1,28,6,15,1,12,1,7,1,29,1,30,1,6,2,28,14,}, {28,16,30,2,29,2,6,2,12,1,8,1,11,1,10,1,17,3,11,1,13,2,6,3,28,1,6,1,17,1,16,1,8,1,7,1,13,1,24,1,8,2,24,1,8,1,13,1,8,2,14,1,10,1,7,1,13,1,28,1,6,1,28,1,8,1,12,2,13,3,29,1,30,1,6,2,29,1,9,1,17,3,16,1,13,1,24,2,9,1,10,1,13,1,30,1,28,1,29,1,28,3,30,1,28,14,29,1,28,1,29,1,30,1,8,2,9,2,24,1,11,1,17,2,9,1,6,1,30,1,7,1,30,1,6,1,30,2,8,1,10,1,15,1,10,1,24,1,13,1,29,1,6,2,13,1,29,1,7,2,6,1,9,1,12,1,17,1,12,1,17,1,6,2,28,3,30,1,28,3,6,1,28,1,6,1,30,1,28,2,5,1180,33,1,13,2,28,1,13,3,6,1,13,1,6,1,7,2,28,11,30,1,28,1,6,1,30,2,7,1,13,1,6,1,7,1,13,3,6,1,10,1,6,1,28,1,13,1,30,1,13,1,28,9,30,2,29,1,28,20,29,1,28,1,6,1,9,1,10,1,9,1,10,3,11,1,24,3,12,1,9,1,12,1,24,1,12,1,17,1,12,2,17,5,12,1,17,9,12,1,10,1,6,1,28,2,13,1,17,3,8,1,30,1,28,1,29,1,30,1,29,2,8,1,24,1,10,1,17,1,12,1,10,2,6,1,9,1,17,28,16,2,17,4,16,1,11,2,17,1,16,2,17,1,16,1,17,48,16,3,11,1,17,4,16,1,17,15,9,1,12,1,11,1,10,1,9,1,12,1,9,1,17,1,11,1,10,1,9,1,11,1,9,2,11,1,10,1,9,1,11,2,10,1,11,1,12,1,10,1,11,1,13,1,9,1,6,1,8,1,6,1,7,1,8,1,7,1,6,1,8,1,30,1,6,1,7,1,13,1,7,1,6,3,13,1,7,1,8,2,13,1,7,1,13,1,24,1,8,1,13,1,8,2,7,1,8,2,24,1,9,1,8,1,13,1,10,1,17,4,16,2,9,1,28,24,30,1,13,1,8,1,13,1,6,1,13,1,9,2,12,1,17,7,11,1,24,2,13,1,8,1,24,2,13,2,8,1,13,1,7,2,8,1,13,1,6,2,29,3,30,2,28,3,30,1,28,2,30,1,28,22,30,1,29,1,30,1,6,2,13,1,6,3,13,1,24,1,13,2,7,1,24,1,8,2,12,1,17,4,11,1,17,1,12,1,16,1,17,16,12,1,17,1,12,1,9,3,12,1,9,1,11,1,17,4,6,1,29,1,28,1,29,2,28,2,30,1,28,15,30,1,28,1,30,1,28,1,30,2,6,2,30,1,29,2,24,1,7,1,8,1,6,1,24,1,8,1,24,3,9,2,8,1,13,1,9,1,12,2,10,2,9,1,17,1,12,1,9,1,17,3,11,1,24,1,8,1,9,1,12,1,24,2,9,2,24,1,13,1,24,1,9,1,13,1,24,1,8,1,9,1,8,1,10,1,8,1,9,2,12,1,11,1,16,1,11,2,10,1,16,1,11,1,17,1,16,1,17,9,13,1,9,1,8,2,11,1,9,8,24,1,13,1,25,2,29,1,28,1,29,3,6,1,13,1,7,1,8,2,24,1,10,1,9,3,8,2,11,1,9,1,10,1,13,1,11,2,10,1,9,5,10,1,9,1,11,1,9,1,8,1,9,3,8,1,10,2,9,1,11,1,8,1,10,1,8,1,9,1,11,1,9,2,10,1,9,1,8,1,10,1,11,1,16,1,9,1,16,1,11,3,16,1,11,1,16,2,10,1,11,1,9,1,17,1,16,1,11,2,9,1,8,1,9,1,10,1,9,1,11,1,9,1,11,2,10,1,11,1,16,1,17,3,16,1,17,2,11,2,16,3,17,1,16,1,9,1,17,1,16,1,9,1,11,1,17,3,16,1,17,1,11,2,16,1,17,2,16,4,11,1,16,1,17,1,11,1,17,2,11,1,17,1,12,1,17,4,10,1,17,3,9,1,10,1,12,1,11,1,10,1,11,2,9,2,17,1,11,2,17,1,11,1,17,10,11,4,12,1,17,1,10,1,12,1,17,2,10,1,12,1,17,1,9,1,10,2,17,1,12,1,11,1,10,1,17,1,8,1,11,1,9,2,11,2,9,1,17,1,11,2,9,2,11,2,8,1,10,1,9,1,11,1,12,1,11,2,17,13,12,3,10,2,24,1,10,1,17,1,11,1,10,1,17,1,11,1,12,1,9,2,17,3,5,3,28,1,11,1,12,1,17,1,12,1,17,2,10,2,11,1,9,1,17,2,12,1,17,1,12,1,17,1,9,1,17,1,12,1,11,1,13,1,8,1,7,2,6,1,13,1,7,1,6,1,7,1,6,2,8,1,13,2,8,1,13,1,10,1,11,1,12,1,17,5,12,1,11,1,17,6,12,1,17,2,12,1,17,2,10,1,12,1,17,30,12,1,17,20,11,1,17,27,12,1,17,2,10,1,17,5,12,1,17,4,12,1,17,1,12,1,10,1,12,1,17,3,11,3,12,2,10,1,12,1,11,1,12,2,17,1,10,1,17,1,9,1,12,1,8,1,12,1,9,1,8,1,10,1,9,1,13,1,8,1,6,1,8,1,13,1,7,1,30,2,28,1,30,1,28,1,5,6,28,11,9,1,11,1,17,1,16,1,17,1,9,1,11,1,9,2,6,1,30,1,28,1,6,1,29,1,13,1,10,1,17,3,12,1,28,5,6,1,14,1,10,1,7,1,29,3,6,1,29,1,28,13,}, {28,15,30,1,28,1,6,1,30,1,7,1,6,1,8,1,12,1,9,1,11,1,12,1,17,4,8,1,29,1,28,2,30,2,6,1,17,1,10,1,9,1,8,2,24,3,12,1,10,1,13,1,24,1,8,1,17,1,15,1,7,1,30,1,28,1,29,1,6,1,13,1,9,1,10,1,17,1,13,1,6,1,30,1,7,2,6,1,29,1,8,1,17,4,10,1,24,1,8,1,17,1,9,1,6,1,28,2,6,1,28,9,30,1,28,4,30,1,28,4,30,1,29,2,8,1,7,1,13,1,8,1,13,1,16,1,17,1,14,1,9,1,30,1,29,3,28,1,29,1,6,1,8,1,24,1,15,2,8,1,13,2,30,2,29,1,13,1,6,1,7,1,13,1,8,1,17,3,10,1,9,1,30,1,28,1,30,1,28,3,30,1,29,1,30,4,28,2,5,1179,6,1,28,2,13,3,8,2,7,1,13,1,30,3,28,7,30,1,29,1,30,3,6,1,30,1,28,1,7,1,30,1,13,3,7,2,29,1,7,1,13,1,6,2,13,1,6,1,30,1,28,8,30,1,28,23,6,2,8,2,12,2,10,1,9,1,8,1,7,1,10,1,13,1,9,1,10,2,24,1,17,1,9,1,12,1,17,1,11,1,17,2,10,2,17,8,12,1,17,2,12,2,6,1,28,2,13,1,17,2,8,1,29,1,7,1,28,1,6,1,29,5,24,2,10,2,12,1,10,1,13,1,12,1,17,12,16,3,17,4,16,1,17,4,16,1,17,7,16,2,17,1,16,1,17,1,16,2,17,29,11,1,17,19,16,1,17,1,9,1,16,3,17,5,16,1,17,4,11,1,17,9,11,1,17,2,9,1,11,1,10,1,11,1,9,1,10,1,9,1,11,1,10,2,9,2,10,1,12,1,10,1,11,1,12,1,9,1,8,2,13,2,24,1,13,3,6,1,13,4,6,1,7,1,30,1,29,1,7,1,6,2,13,1,6,1,13,1,8,1,24,2,13,1,8,1,24,1,13,1,9,1,13,1,24,1,9,3,24,1,9,1,17,1,12,1,11,1,8,1,6,1,28,32,30,1,6,1,28,4,30,1,6,1,13,1,10,1,17,2,12,2,10,2,8,1,13,2,7,1,8,3,13,2,6,1,13,1,7,2,6,1,7,1,30,2,28,1,29,1,28,8,30,2,29,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,9,29,1,28,1,29,1,6,1,7,1,29,1,7,1,6,1,7,1,8,1,6,1,8,1,24,1,12,1,17,2,12,5,17,4,11,2,9,1,6,2,30,1,28,1,13,5,9,1,13,1,29,1,8,1,10,1,17,1,11,1,12,1,9,1,17,8,12,1,10,1,6,1,30,1,28,3,30,1,27,1,28,5,30,1,28,10,30,1,28,3,30,2,29,1,6,1,30,2,29,1,7,1,28,1,29,1,7,1,13,2,24,1,8,1,24,1,13,1,9,1,12,1,8,1,9,1,24,1,11,1,12,1,17,2,12,1,17,1,12,2,11,1,17,2,12,1,9,2,10,1,8,1,9,5,8,2,9,4,13,1,17,1,9,1,11,1,12,1,11,1,10,1,12,1,11,1,16,2,11,2,17,1,16,3,17,2,16,2,17,1,11,2,13,1,11,1,8,1,10,1,9,3,8,1,9,2,29,1,9,2,8,2,26,1,29,1,30,1,29,1,30,2,29,1,6,1,13,1,8,1,24,1,13,2,9,1,8,1,10,1,9,1,11,2,9,1,8,2,9,4,13,1,8,1,10,1,9,2,13,1,8,1,9,4,11,1,12,1,11,1,13,1,10,1,9,1,11,1,9,2,11,1,12,1,11,1,9,1,10,1,9,3,11,3,16,1,11,3,16,4,9,1,17,2,10,1,11,1,9,2,11,4,9,2,13,1,9,4,16,2,17,1,16,1,11,1,10,1,17,1,11,2,16,1,11,2,17,1,11,1,17,2,11,1,17,9,11,1,17,2,16,1,17,1,11,3,9,1,11,1,17,1,16,1,17,8,11,1,17,1,11,1,17,1,11,2,12,1,17,1,11,2,17,1,11,3,17,1,12,1,17,1,11,1,17,1,11,1,17,1,12,1,17,6,12,1,17,1,10,1,17,1,12,1,11,1,17,1,11,1,10,1,11,1,9,1,11,1,12,2,9,1,11,2,10,2,9,1,10,4,11,1,9,1,12,1,11,1,12,1,17,1,11,2,10,1,12,1,11,2,9,1,10,1,11,2,10,1,12,1,17,11,12,1,10,1,12,2,11,1,17,2,12,1,9,2,12,2,9,2,11,1,17,1,10,1,17,1,12,1,17,2,5,3,30,1,11,1,12,1,17,1,12,2,17,1,9,1,17,1,10,1,12,1,10,1,12,1,17,3,12,5,9,1,8,1,13,1,8,1,7,2,28,1,7,2,30,1,13,2,8,1,24,1,10,1,9,1,12,1,17,1,11,1,17,6,12,1,17,1,11,1,17,5,12,1,17,2,12,1,17,7,12,1,17,18,10,1,17,3,12,1,17,11,12,1,17,40,12,1,17,10,11,1,12,1,17,4,12,1,17,2,12,1,17,2,10,1,17,1,10,1,12,1,11,1,12,1,10,1,12,1,11,1,12,1,10,1,12,2,10,3,8,1,9,2,13,1,9,1,13,1,8,2,13,2,6,3,28,1,5,6,28,10,13,2,8,1,17,1,11,1,17,2,11,1,8,2,6,2,13,2,6,1,24,1,10,1,17,3,10,1,28,5,30,1,17,1,10,1,6,1,7,1,8,1,29,1,6,1,28,14,}, {28,7,30,1,28,7,30,1,29,1,28,1,6,2,29,1,6,1,8,1,12,1,9,1,10,1,12,1,17,3,6,1,29,1,6,5,9,1,17,1,16,1,13,1,9,1,13,1,24,1,10,1,9,1,24,1,7,1,28,1,13,1,14,2,7,1,6,1,30,1,28,1,30,1,6,1,13,1,24,1,17,1,13,1,29,1,28,1,6,1,29,1,6,2,8,1,17,4,10,1,13,1,17,1,9,1,17,1,6,1,29,1,28,1,30,1,28,8,30,2,28,8,30,1,6,1,30,1,6,1,28,1,24,1,7,1,13,1,24,1,17,3,15,1,13,1,29,2,6,1,29,1,28,1,7,1,24,1,9,1,15,2,13,1,7,1,6,1,8,1,30,1,29,1,13,2,7,1,13,2,9,1,16,1,17,2,8,1,28,5,29,1,28,2,6,1,30,1,28,1,29,1,28,2,5,1178,13,1,30,1,13,3,7,3,13,1,7,1,8,1,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,2,29,1,30,2,7,2,6,1,30,1,13,1,6,2,13,1,8,1,9,1,7,1,28,1,6,1,13,1,6,1,28,8,30,1,28,1,30,1,28,21,30,1,7,1,13,1,10,1,12,1,9,2,24,1,13,1,8,1,9,1,11,1,10,1,12,1,17,1,9,1,11,1,9,1,12,1,10,1,11,1,12,2,10,4,17,1,11,1,12,1,17,6,10,2,13,1,30,2,6,1,17,1,12,1,10,2,8,1,12,1,24,1,10,1,24,3,25,1,13,2,24,1,12,1,8,1,10,1,13,1,8,1,12,1,17,14,16,4,17,1,16,1,17,1,16,2,17,4,16,1,17,3,16,1,17,30,16,1,17,4,16,2,17,19,11,2,17,2,11,1,17,1,16,2,17,18,11,1,12,1,11,1,9,1,12,2,11,2,17,1,11,2,17,2,12,1,17,3,10,1,9,1,8,1,13,1,7,1,9,1,13,3,8,1,9,1,13,1,7,1,13,1,8,1,13,1,29,1,7,2,13,1,6,1,13,2,6,1,8,3,13,1,24,2,9,1,10,1,9,3,11,1,9,2,12,1,17,2,6,1,28,38,6,4,28,5,13,1,10,2,17,1,12,1,11,1,12,4,8,1,13,2,24,1,13,2,7,1,6,1,13,1,30,2,29,1,30,1,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,27,2,30,1,29,1,30,3,25,1,6,2,30,1,6,1,30,1,29,1,28,1,30,1,29,1,6,1,8,1,6,2,8,2,12,1,17,1,10,1,9,1,17,1,10,1,12,1,17,3,16,1,9,1,13,1,30,1,28,19,30,1,7,1,13,1,6,1,9,1,17,8,12,1,7,1,28,4,6,1,30,1,28,20,30,2,28,1,30,1,29,2,28,1,6,1,29,1,6,1,29,1,8,2,6,1,24,1,10,1,8,2,12,1,24,1,10,1,9,1,8,1,12,1,17,1,9,2,17,1,11,1,17,5,9,1,10,1,9,3,8,2,13,1,9,1,8,2,9,1,8,1,9,2,11,2,9,1,17,1,12,1,10,2,11,2,16,1,11,1,9,2,16,1,17,4,16,3,17,1,16,1,9,1,16,1,9,3,13,1,9,3,10,1,9,1,8,1,9,2,13,1,7,1,29,1,28,1,30,1,28,3,29,1,7,1,8,1,7,1,8,3,9,1,8,1,9,1,8,2,10,1,8,1,9,1,8,1,9,1,8,1,10,2,9,1,13,1,9,1,8,2,9,5,8,2,24,1,10,1,9,1,10,3,11,1,9,1,8,1,9,3,11,1,9,1,10,1,9,2,13,1,10,1,11,1,9,1,17,1,16,2,11,1,16,2,11,1,16,1,9,1,16,3,11,2,9,1,11,2,9,1,10,1,11,1,9,1,11,2,9,1,16,1,11,1,17,1,11,1,8,1,11,1,10,1,16,1,11,3,16,2,17,1,10,1,17,8,16,1,17,2,16,1,17,6,16,2,17,4,12,1,17,1,11,1,17,4,10,1,17,2,12,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,12,3,17,1,9,1,12,2,17,1,9,1,11,1,17,1,11,1,17,3,11,1,17,1,12,1,17,1,12,1,11,2,17,1,12,1,11,1,12,2,17,2,11,1,12,2,11,1,9,1,10,2,11,1,8,1,10,2,9,2,12,1,11,1,9,1,11,1,10,2,11,4,9,2,12,1,9,1,11,2,17,9,12,3,10,1,9,2,12,1,17,1,12,2,10,1,12,1,10,1,9,1,24,1,9,1,17,1,9,2,12,1,17,4,5,3,13,1,16,1,17,2,9,1,12,1,17,1,9,1,17,1,10,1,12,1,17,3,12,2,10,1,12,4,10,1,24,1,13,1,7,2,6,2,13,1,29,1,30,1,13,1,8,1,24,1,10,1,9,1,12,1,9,1,12,1,17,2,12,2,17,6,11,1,17,2,10,1,17,43,12,1,17,17,12,1,17,2,12,1,17,7,10,1,17,14,12,2,17,4,12,1,17,12,12,2,17,1,11,2,12,2,11,1,12,1,11,1,12,2,9,1,11,1,10,1,9,1,12,2,8,1,10,1,8,2,9,1,10,1,13,1,9,1,24,1,13,1,24,1,8,2,7,1,30,1,13,1,28,1,5,6,28,10,29,1,8,1,9,1,10,1,17,2,12,1,9,2,8,1,7,1,6,2,28,1,30,1,8,1,12,1,17,3,8,1,30,1,28,5,12,1,6,2,29,1,30,1,29,2,30,1,28,13,}, {28,16,29,1,28,1,7,1,29,1,7,1,6,1,24,1,9,1,17,1,10,2,17,2,9,1,13,1,6,1,7,1,6,1,29,1,6,1,7,1,12,1,9,1,17,1,11,1,9,1,13,1,24,2,15,1,9,1,13,1,6,1,8,1,17,1,13,1,8,1,28,1,6,1,28,1,6,2,10,2,12,1,13,1,29,1,13,1,7,1,6,2,7,1,13,1,12,1,17,2,16,1,11,1,17,2,10,1,17,1,8,1,30,1,28,2,30,1,28,7,29,1,28,5,30,2,28,4,29,2,30,1,7,1,8,1,24,1,9,1,12,1,17,2,9,1,7,1,6,1,29,1,13,1,6,3,24,1,12,2,9,1,30,1,6,1,7,1,6,1,30,1,6,1,13,2,7,1,8,1,13,1,8,1,12,1,15,1,17,1,8,1,30,1,28,6,6,1,28,1,6,3,28,2,5,1177,9,1,28,1,29,1,7,4,13,3,7,1,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,3,30,1,6,1,30,1,6,1,29,1,13,1,7,1,29,1,13,1,7,1,13,1,7,2,13,1,30,1,28,1,9,1,13,1,6,1,28,7,30,1,28,23,30,1,6,1,24,1,10,1,12,1,17,1,8,2,6,1,9,3,10,1,9,1,11,1,10,1,12,1,10,1,12,1,11,1,17,1,9,2,10,1,12,1,10,2,12,3,11,1,12,2,17,1,9,1,17,1,12,1,9,1,24,2,29,1,13,1,12,2,17,9,10,1,7,1,8,1,13,1,12,2,9,1,12,1,29,1,17,16,16,2,17,1,16,1,11,1,16,4,17,1,10,1,9,1,17,1,16,1,17,6,8,1,17,32,16,1,17,2,16,1,17,16,16,3,17,1,16,1,17,8,16,1,17,1,12,1,17,1,12,1,17,7,12,1,17,11,8,1,10,1,8,1,13,1,28,2,13,2,30,2,6,1,28,2,29,1,30,2,28,1,30,1,29,1,7,2,13,1,8,1,6,1,29,1,6,2,8,1,7,1,8,1,9,2,24,2,10,1,9,1,24,1,9,2,24,1,9,2,17,3,28,47,7,1,30,3,28,1,30,1,9,1,10,1,17,3,12,4,24,1,8,2,13,1,7,1,29,1,6,1,7,1,6,1,28,2,30,1,28,6,27,1,29,1,26,1,29,1,27,1,28,1,27,1,29,2,7,1,6,2,29,1,8,1,7,1,30,1,6,1,13,1,6,1,8,2,13,1,7,3,13,2,7,1,9,1,10,1,9,1,17,4,12,2,13,1,28,25,30,1,6,1,29,1,6,1,13,1,8,1,9,1,17,6,13,1,6,1,29,1,28,1,30,1,28,1,6,1,30,1,28,29,29,2,13,1,7,1,8,4,24,1,8,1,13,1,11,1,9,2,12,1,24,1,17,10,11,1,9,1,12,1,8,1,9,2,8,1,9,1,8,2,9,2,10,1,9,2,10,1,12,1,11,1,9,1,11,1,12,1,9,3,11,2,16,1,11,2,16,2,17,1,16,1,17,3,16,3,9,3,8,1,11,2,8,1,9,2,11,1,9,2,24,1,6,1,30,2,28,4,6,1,7,1,13,4,8,1,13,2,9,2,13,1,8,1,9,1,8,1,13,1,9,2,13,1,11,1,13,4,9,6,8,2,11,1,13,1,9,1,8,2,9,2,8,1,9,1,8,1,9,1,8,1,13,1,9,2,8,1,9,4,11,3,16,4,11,1,16,2,11,1,16,1,11,2,16,1,11,3,9,2,16,1,11,1,16,1,11,3,16,2,9,1,11,4,16,1,11,1,17,1,16,3,17,1,16,1,11,1,16,2,17,2,16,1,17,5,11,1,17,4,16,1,11,2,16,1,17,1,16,1,17,1,11,1,17,1,16,1,17,1,10,1,17,4,11,1,17,4,10,1,12,1,17,1,10,1,12,1,17,1,11,1,17,3,11,3,9,1,12,1,17,1,11,1,12,1,17,1,11,1,17,2,12,1,11,2,12,1,17,1,12,1,10,1,11,1,12,1,17,2,12,1,9,1,11,1,10,1,9,1,10,2,9,1,10,1,9,2,12,1,10,1,24,1,9,1,17,1,11,2,12,1,10,1,9,1,10,2,9,2,8,1,17,10,12,4,10,1,9,1,10,1,11,1,10,1,11,1,12,1,9,1,13,1,8,1,10,1,13,1,24,1,9,1,10,2,12,2,17,3,16,1,5,3,13,1,17,1,12,1,17,2,11,1,12,1,11,1,12,3,17,1,10,1,12,2,17,1,12,1,17,1,12,3,10,1,8,1,24,1,13,1,7,1,13,1,6,2,29,1,7,1,24,1,13,1,8,1,9,1,10,1,12,2,9,1,17,1,10,1,12,1,17,2,12,1,17,7,11,1,17,2,11,1,17,15,12,1,17,10,12,1,17,7,11,1,12,1,17,10,12,1,17,10,12,1,17,28,12,1,10,1,17,2,12,1,11,1,17,16,9,1,10,1,11,2,17,2,11,1,17,1,10,3,11,1,10,1,11,1,10,1,9,1,10,1,9,1,8,1,9,2,11,1,13,1,9,1,8,1,13,1,9,1,7,1,30,2,5,6,28,8,30,1,28,1,7,1,9,1,15,1,10,1,16,1,17,1,10,2,24,2,6,2,28,1,6,1,29,1,7,1,24,1,17,3,9,1,30,1,28,4,30,1,15,1,8,1,30,1,6,2,29,2,6,1,28,13,}, {28,7,30,1,28,8,6,1,28,1,13,1,6,1,7,1,13,1,8,2,9,1,24,1,10,1,17,2,12,1,9,1,6,3,13,1,7,1,28,1,17,4,9,1,8,1,24,1,8,1,17,1,9,1,8,1,30,1,8,1,11,1,10,1,30,1,6,1,28,3,13,1,9,1,10,1,9,1,8,1,6,1,29,1,6,1,30,1,13,1,8,1,13,1,17,2,12,1,16,3,12,1,17,2,13,1,6,1,30,1,28,1,30,1,28,6,6,1,28,1,6,1,30,1,28,1,30,1,29,1,28,4,30,1,29,2,28,1,30,1,6,1,13,1,8,3,17,1,14,1,16,1,6,1,13,1,30,1,6,2,28,1,8,2,24,1,12,1,9,1,8,1,13,1,6,1,7,1,30,1,7,1,29,1,13,1,7,1,13,3,12,2,17,1,10,1,29,1,30,2,28,4,30,2,6,1,13,1,6,1,28,2,33,1,5,1176,13,2,8,1,13,3,7,1,6,2,28,3,30,1,28,6,6,2,28,1,7,1,28,1,30,2,28,1,13,1,6,1,30,2,13,1,6,1,13,3,7,1,13,1,6,1,9,1,13,2,28,1,30,1,13,1,6,1,28,31,30,1,6,1,13,1,24,1,10,1,12,1,8,1,7,1,6,1,10,1,12,1,10,1,11,1,9,3,10,1,9,1,10,3,24,1,12,3,10,1,12,1,24,1,12,1,17,1,9,1,12,1,9,1,12,1,17,1,12,1,17,1,24,2,13,1,24,1,8,1,12,1,17,7,12,1,17,2,12,1,7,1,29,1,13,1,10,1,12,1,10,1,17,1,13,1,10,1,17,8,16,1,17,2,12,1,17,3,16,1,17,2,11,1,17,1,16,1,17,1,11,2,17,1,11,1,17,9,16,1,17,81,10,2,17,1,13,3,30,1,13,1,30,1,28,1,6,1,29,1,30,1,6,1,30,1,7,1,28,1,6,1,28,5,6,1,30,1,28,7,30,1,29,1,13,1,6,1,8,1,24,1,6,1,9,1,8,1,24,1,10,1,17,6,12,1,13,1,28,43,29,1,28,4,30,1,28,1,30,1,7,1,28,1,30,1,6,1,28,1,30,1,13,2,12,1,11,1,9,2,12,1,24,1,10,1,8,1,13,1,6,1,13,1,6,1,8,1,30,1,6,1,28,3,30,1,27,1,28,1,30,1,27,1,30,3,27,1,29,1,27,1,29,1,30,1,7,1,28,14,13,2,7,1,9,1,10,1,9,1,10,1,12,1,8,1,7,2,30,1,28,29,7,1,6,2,30,1,6,1,9,1,8,1,12,1,17,4,9,1,29,1,28,1,29,1,30,1,25,1,6,1,28,27,30,1,28,2,30,1,29,1,6,1,7,1,8,1,7,1,13,1,8,2,24,2,9,1,10,2,17,1,11,1,17,1,11,2,17,1,16,1,17,5,11,1,17,1,9,3,8,1,9,1,11,1,10,1,9,3,8,1,12,1,9,1,12,1,10,1,9,1,10,1,9,5,16,3,17,1,16,2,17,1,16,2,17,5,11,2,9,4,10,2,9,2,10,1,8,1,9,2,30,2,28,5,7,1,13,4,8,1,24,2,6,1,9,2,8,1,13,5,8,1,9,1,8,1,13,4,9,1,13,1,8,3,9,2,24,1,9,1,13,1,8,1,9,1,8,1,9,2,8,1,9,1,10,1,13,1,11,1,9,1,8,1,16,1,13,1,9,3,10,1,11,1,16,1,17,1,11,1,17,2,11,1,16,1,11,1,17,1,16,3,11,3,9,1,11,2,16,1,9,1,10,1,9,1,16,1,11,1,16,1,9,1,16,1,11,2,17,1,11,3,16,2,11,3,16,1,11,1,10,1,11,2,17,1,16,3,17,3,16,4,17,1,11,1,16,1,11,2,17,1,11,1,17,4,11,1,17,1,16,1,11,1,17,7,10,1,11,1,17,1,12,1,11,2,12,1,17,2,11,2,12,1,11,3,17,2,11,1,17,1,11,1,12,2,17,1,12,1,11,1,12,2,17,1,12,1,11,1,17,1,11,1,17,1,11,1,12,1,11,1,12,1,9,1,11,1,10,2,9,2,11,1,24,2,10,3,9,1,12,2,11,1,10,1,11,2,9,1,10,1,9,1,8,1,17,8,11,2,12,1,11,1,8,1,12,1,8,2,10,2,9,1,10,2,9,1,10,1,12,2,9,1,12,1,10,1,9,1,17,6,5,4,13,1,17,3,12,1,11,1,17,1,9,1,17,2,12,1,17,1,12,3,17,1,11,1,12,1,9,1,10,1,9,1,10,1,13,1,8,2,6,1,13,1,6,1,7,2,13,1,8,2,9,1,17,1,12,1,10,1,17,1,11,1,17,3,12,1,17,4,11,1,17,3,12,1,17,2,11,1,17,52,11,1,12,1,17,1,12,1,17,2,12,1,17,15,11,1,17,11,11,1,17,2,12,1,17,2,12,1,17,3,12,1,17,11,12,1,17,1,12,1,17,1,11,1,12,2,11,1,17,1,12,1,11,1,10,1,12,2,9,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,7,1,9,1,13,1,8,1,6,1,13,1,28,1,5,5,13,1,28,9,30,1,6,1,14,3,10,1,17,2,24,1,13,2,6,1,7,1,6,2,28,1,24,1,17,4,10,1,28,5,29,1,12,1,13,1,6,1,28,1,13,1,30,1,29,1,30,1,28,13,}, {28,8,30,2,6,1,28,5,30,2,13,2,24,1,6,1,8,1,11,1,10,1,9,1,16,1,17,2,14,1,6,1,13,1,7,1,29,1,6,1,29,1,6,1,17,3,10,1,9,1,24,1,12,1,24,2,12,1,7,1,28,1,8,1,15,1,11,1,29,1,28,1,6,1,30,1,28,1,6,1,9,2,17,1,9,1,6,1,30,1,6,1,29,1,6,1,29,1,8,1,17,3,16,2,17,4,13,1,29,1,30,1,28,2,29,1,28,3,29,1,30,1,28,1,30,1,6,1,28,1,29,1,30,1,28,1,30,1,28,4,29,2,28,2,13,1,24,1,7,1,6,1,8,1,17,2,10,1,13,1,6,2,29,1,6,2,28,1,7,1,9,1,10,1,12,1,8,1,13,1,6,1,29,3,6,2,30,2,24,1,8,1,13,1,12,1,15,1,24,1,29,1,28,3,7,1,30,1,28,1,6,1,30,1,28,1,29,1,30,1,28,2,13,1,5,1174,33,1,6,1,13,3,7,1,24,1,6,1,29,1,13,1,6,2,30,1,28,8,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,1,7,1,6,2,13,1,6,3,13,1,7,1,8,1,13,1,10,1,9,1,13,1,30,1,28,1,13,2,6,1,28,31,30,1,10,1,24,2,9,1,10,1,29,1,7,1,24,1,10,2,12,2,17,1,9,1,17,1,12,1,8,1,24,1,12,1,24,2,9,1,24,1,8,1,24,1,10,1,24,2,10,1,9,1,10,1,24,1,9,1,12,1,24,1,12,1,24,4,10,1,12,1,17,7,12,1,17,1,12,1,6,1,25,1,8,1,24,1,12,2,24,1,8,2,17,1,16,1,17,6,11,1,17,1,16,1,17,4,16,1,17,2,16,1,17,1,16,1,17,29,16,1,17,47,12,1,17,13,11,1,10,1,9,2,13,3,6,2,7,1,30,1,13,3,6,1,30,1,7,1,6,2,30,2,28,10,30,1,6,1,28,1,30,1,28,3,6,1,13,1,6,1,30,1,8,1,7,1,13,1,7,1,13,1,9,1,8,1,6,1,24,1,9,1,13,1,30,1,28,47,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,2,30,1,29,1,6,1,13,1,12,1,17,1,12,2,11,1,8,1,12,1,24,1,6,1,7,1,13,1,7,1,28,1,27,2,29,1,27,1,28,1,29,1,30,1,28,1,30,1,6,1,7,1,29,1,28,18,30,1,28,1,30,1,28,1,13,2,8,1,9,1,28,34,6,1,30,1,7,1,6,1,13,1,8,1,13,1,10,1,17,3,11,1,8,1,6,1,13,1,6,1,25,1,24,1,29,1,8,2,6,1,29,1,28,24,30,2,29,1,6,1,29,2,8,5,10,1,24,1,10,1,11,1,10,1,17,2,12,1,10,1,17,10,11,1,9,1,11,1,12,1,9,2,11,1,9,4,10,1,11,2,9,1,10,1,9,4,10,1,11,1,17,1,16,1,11,1,16,2,11,1,17,1,16,4,17,1,16,1,17,1,11,1,17,1,9,2,10,1,9,2,13,1,9,1,10,1,11,1,9,1,12,1,24,1,28,3,30,2,28,1,6,1,8,1,7,2,8,1,6,2,8,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,6,1,9,1,8,1,13,1,9,2,8,1,13,1,8,2,9,1,8,1,24,1,13,3,8,2,24,1,13,2,8,3,13,1,9,2,13,1,10,1,9,1,11,1,9,5,16,1,11,1,16,6,17,1,16,3,11,1,16,4,17,1,16,2,11,2,16,1,9,1,11,3,9,1,11,9,9,1,16,1,11,1,9,1,10,1,11,2,16,1,9,1,11,1,17,1,11,1,16,2,17,6,16,2,17,3,16,1,17,2,11,2,17,6,11,1,17,3,12,1,17,3,9,1,17,1,11,1,17,2,11,1,17,2,11,2,17,1,11,1,17,1,11,3,17,1,12,1,17,1,11,1,12,1,17,3,11,1,12,1,17,1,12,1,17,2,12,2,11,3,9,1,12,1,10,1,12,1,24,1,9,3,12,1,8,1,9,1,12,1,10,1,17,1,10,1,11,2,10,1,9,1,12,1,9,1,12,1,17,5,12,3,11,1,10,1,12,1,10,1,9,1,8,1,13,1,8,1,11,1,9,1,13,1,10,2,9,2,10,2,8,1,10,1,9,1,12,1,10,1,17,5,9,1,5,4,9,1,12,2,17,1,12,1,17,4,12,4,17,1,12,2,11,1,10,1,9,1,17,1,24,3,8,1,7,2,6,1,13,1,6,1,13,3,10,1,8,1,12,1,11,1,17,2,9,1,17,1,11,1,17,11,11,1,17,2,12,1,17,16,12,1,17,9,12,1,17,1,12,2,17,4,12,1,17,9,12,1,17,14,12,1,17,27,10,1,12,1,17,1,11,1,17,13,12,1,17,1,12,1,9,1,12,1,17,1,11,1,17,1,12,1,11,1,10,1,11,1,9,2,12,1,9,2,12,1,10,2,8,1,24,1,12,1,9,2,24,1,13,1,8,2,13,2,6,1,28,2,5,5,13,1,28,10,6,1,14,3,12,1,17,1,16,1,12,1,9,1,8,1,6,1,7,1,29,2,6,1,13,1,24,1,17,3,9,1,28,5,7,1,17,1,24,1,29,1,28,1,30,1,29,1,28,1,29,1,28,13,}, {28,15,30,1,13,1,7,2,29,1,6,1,30,1,9,1,24,1,9,1,17,1,12,1,17,3,11,1,13,1,29,1,13,1,30,2,13,1,12,1,17,1,9,1,17,1,9,1,12,1,8,1,10,1,24,2,6,3,15,1,9,1,6,1,30,1,28,1,6,1,7,1,6,1,10,1,16,1,17,1,13,1,30,1,29,2,30,1,13,1,6,1,13,1,12,1,17,2,12,1,17,1,12,1,17,2,16,1,9,1,6,1,29,1,30,1,29,1,30,2,28,2,30,1,29,1,30,1,13,1,29,1,28,4,30,1,28,3,29,1,28,1,29,1,28,2,30,1,6,1,7,1,13,1,7,1,10,1,14,1,17,1,9,1,29,1,13,1,30,1,6,1,13,1,6,1,8,1,9,1,15,1,12,1,8,1,6,1,8,1,28,1,6,1,7,2,6,1,29,1,6,1,7,1,8,1,10,1,15,1,14,1,10,1,6,1,28,4,30,1,6,1,30,1,28,1,30,1,13,1,28,3,13,1,5,1173,9,1,30,2,13,1,7,1,13,1,6,1,13,2,6,1,29,1,30,1,28,9,13,1,28,1,6,2,28,1,30,2,6,1,28,1,30,1,28,1,6,1,29,1,13,2,7,1,8,1,7,1,13,3,8,2,13,2,28,1,6,1,28,1,30,1,28,31,29,1,8,1,9,1,24,1,10,1,8,1,29,1,13,1,24,1,10,2,9,1,17,1,9,1,24,1,10,1,11,1,10,2,24,1,9,1,10,1,24,2,8,1,13,3,24,3,10,1,12,1,9,1,12,3,10,1,9,1,10,3,12,2,17,3,12,2,17,1,12,1,17,1,12,2,30,1,8,1,25,1,17,2,8,1,6,1,8,1,17,6,11,1,17,3,16,1,17,2,12,1,17,1,16,2,17,1,16,1,17,88,11,1,10,1,9,1,13,2,8,1,6,1,8,1,6,1,13,1,9,1,7,3,6,1,29,1,13,1,6,2,30,1,29,1,7,1,28,1,6,1,28,2,30,2,28,5,30,1,28,3,29,1,28,1,30,3,28,1,30,1,7,1,6,1,7,1,6,1,29,1,13,1,7,1,13,1,6,1,13,3,30,1,28,48,30,1,28,9,30,1,28,2,30,1,28,1,6,1,28,1,30,1,7,1,10,1,17,1,12,1,17,1,12,1,10,1,8,2,24,2,8,2,29,2,28,33,30,1,28,1,6,2,30,1,6,1,30,1,28,29,7,1,6,1,30,1,7,1,13,3,11,1,17,3,9,1,28,1,29,1,6,1,8,1,24,1,12,1,24,1,6,1,8,1,24,1,10,1,29,1,28,19,30,1,28,1,30,1,6,1,29,2,6,2,7,1,24,1,8,1,24,1,8,1,24,1,8,1,9,1,24,1,10,1,12,1,10,1,17,1,9,1,17,1,10,1,17,10,12,1,11,2,17,1,11,1,16,1,10,2,11,1,10,1,17,1,11,1,12,1,9,1,10,1,9,2,11,1,9,2,17,2,11,1,16,1,17,1,16,7,17,1,16,1,17,2,16,1,17,1,11,1,8,1,11,1,9,5,10,1,12,1,10,1,13,1,6,1,28,2,29,1,6,4,13,1,6,1,8,1,13,1,24,1,13,1,24,1,13,1,9,1,8,1,9,1,8,3,9,1,7,1,9,1,13,3,7,1,13,3,8,1,24,1,13,1,8,1,24,1,8,3,13,2,8,3,9,1,8,1,9,1,13,1,9,3,8,1,9,2,10,1,11,1,16,2,11,2,17,1,16,2,11,1,16,2,9,1,16,2,17,1,9,1,11,3,16,1,9,1,10,1,16,2,9,1,11,1,16,1,11,4,10,1,11,1,16,1,9,1,16,2,11,1,16,1,11,1,16,1,11,2,16,1,11,2,17,1,11,2,17,1,11,1,17,1,16,3,17,3,16,1,11,2,17,1,11,1,17,5,11,1,17,1,11,1,17,4,11,1,17,5,12,1,17,1,12,1,17,1,11,1,17,1,11,2,12,1,11,1,17,1,11,1,17,2,10,1,17,1,11,2,17,1,12,1,17,2,11,1,17,1,12,1,17,2,12,1,17,1,12,1,11,3,12,1,11,1,12,1,11,1,10,1,17,1,10,3,9,2,8,1,9,1,10,1,8,1,11,2,9,1,12,1,11,1,9,2,11,1,8,1,17,7,11,1,9,1,24,1,9,1,8,2,24,2,13,1,12,1,13,1,10,1,9,1,13,1,8,1,10,1,11,1,9,2,12,1,17,1,12,1,17,6,9,1,11,1,5,4,11,1,17,1,11,1,17,1,12,1,10,1,17,4,12,1,17,2,12,1,17,1,12,1,17,1,11,1,17,1,11,1,10,1,24,1,9,1,8,1,13,1,7,2,29,1,13,3,9,1,24,1,12,3,11,1,17,6,12,1,17,10,12,1,17,14,12,1,17,7,11,1,17,2,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,28,12,1,17,26,11,1,12,3,17,1,12,2,17,15,11,1,17,1,12,1,10,1,11,1,12,1,17,1,11,1,10,1,11,1,17,1,11,1,10,1,9,3,8,1,9,2,24,1,13,1,24,1,13,2,7,1,6,2,28,1,5,5,13,1,28,10,13,1,14,1,16,1,14,1,17,1,14,1,12,1,9,2,24,1,6,4,7,1,9,1,11,1,16,1,17,2,9,1,28,5,13,1,12,1,24,1,30,1,13,1,7,1,6,1,7,1,29,1,28,13,}, {28,8,29,1,28,5,6,1,30,1,6,1,30,1,6,1,13,1,8,1,28,1,9,2,10,1,24,1,17,1,14,2,17,1,9,1,13,1,6,2,30,1,6,1,30,1,9,1,17,1,15,1,9,1,12,1,9,1,8,1,10,1,12,1,9,1,6,2,7,1,9,2,29,1,28,2,30,3,12,1,17,1,15,1,8,1,30,1,29,1,6,1,29,1,6,2,9,1,8,1,17,4,16,1,17,3,8,1,9,1,6,1,30,1,6,2,30,1,28,2,30,1,6,1,30,1,6,1,30,2,29,2,28,6,30,1,6,1,28,2,6,1,7,1,6,1,7,1,6,1,24,1,15,1,17,1,13,1,6,1,13,2,6,3,10,1,15,2,8,1,13,2,8,1,28,1,8,1,29,1,7,1,29,1,6,1,7,2,9,1,8,1,9,1,14,1,9,1,6,1,28,1,29,1,6,1,28,1,30,1,28,1,29,1,28,1,29,3,28,2,30,1,5,1171,33,1,13,1,30,1,6,1,9,1,7,1,8,1,13,1,7,1,13,1,30,1,7,1,28,1,30,2,28,3,6,1,30,1,6,1,13,2,9,1,8,1,13,1,28,3,6,1,28,2,30,1,6,1,30,1,6,1,29,1,13,1,7,1,13,1,7,1,8,2,13,1,8,2,13,2,6,1,28,1,6,1,28,1,30,1,28,21,30,1,28,8,13,1,8,1,24,2,8,1,13,1,6,1,24,1,9,1,10,2,12,1,10,1,9,1,12,1,24,1,10,1,9,2,24,1,10,1,8,1,13,2,8,1,24,1,8,1,24,1,13,1,24,1,8,1,12,2,10,1,9,1,12,1,9,1,24,1,12,3,24,1,12,1,17,7,12,2,17,1,24,2,25,1,8,1,12,1,24,1,7,1,13,1,17,6,11,1,17,2,11,1,17,2,9,1,17,23,16,1,17,1,16,1,17,65,11,2,9,2,13,7,8,1,9,1,13,4,6,2,30,2,6,2,28,1,6,1,28,1,6,3,30,1,28,5,30,1,28,5,30,1,28,1,30,1,28,2,29,2,28,1,30,2,28,1,29,1,6,1,28,1,6,2,13,1,8,1,6,1,13,1,6,1,28,2,6,1,30,2,28,50,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,29,1,13,2,9,1,10,1,12,1,24,1,17,1,9,1,7,1,8,1,6,1,30,1,28,32,30,1,28,4,30,1,28,1,30,2,28,1,30,3,28,1,30,4,28,2,29,1,28,16,30,1,29,1,28,1,6,2,13,2,8,1,11,1,17,3,8,1,29,1,6,1,29,2,24,1,12,1,24,2,13,1,6,1,24,2,13,1,28,18,7,1,13,1,29,1,6,1,29,1,7,1,6,1,7,1,6,1,7,1,8,1,24,2,8,1,10,1,24,1,9,1,17,1,12,2,17,1,11,1,17,13,16,3,10,1,11,1,9,1,17,1,16,1,11,1,12,1,16,2,11,3,9,1,11,2,12,1,17,3,16,1,17,2,16,4,17,1,16,1,17,3,16,1,17,2,11,1,9,3,10,2,11,1,9,2,12,1,9,1,24,1,6,2,7,1,28,1,6,3,13,5,24,1,6,1,24,1,8,1,13,1,9,1,13,1,7,1,13,3,9,1,13,2,8,2,7,2,13,3,8,1,13,2,8,3,6,1,13,2,8,1,9,2,8,1,13,1,10,1,8,1,13,1,10,1,9,2,10,1,16,2,17,1,16,1,11,3,17,1,16,2,9,1,16,1,11,2,16,2,11,2,16,1,11,1,16,2,11,1,17,1,9,1,11,1,17,1,11,1,9,1,16,1,11,1,10,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,4,11,1,16,3,11,6,9,1,11,1,16,1,11,1,16,1,17,6,16,1,17,1,11,1,17,4,16,1,17,2,16,1,17,6,11,1,17,1,11,2,17,1,9,1,12,1,10,1,17,1,12,1,11,5,10,1,17,1,11,1,12,1,17,1,11,1,17,1,12,2,17,3,12,3,17,1,11,1,12,4,11,1,8,1,10,1,17,1,9,2,10,1,9,3,10,2,24,1,9,1,11,1,10,1,11,1,10,1,11,2,10,1,17,8,9,2,10,1,24,1,13,1,9,1,24,1,13,1,24,1,9,1,8,1,10,1,9,2,8,1,10,1,11,1,10,1,9,1,10,1,12,1,17,6,12,1,9,1,5,5,11,1,17,3,12,1,17,6,12,1,17,2,12,1,10,1,17,1,10,1,11,1,24,4,7,1,6,1,30,1,13,1,7,2,13,1,24,1,9,1,24,1,11,1,12,1,17,1,12,1,17,11,11,1,17,7,12,1,17,10,12,1,17,3,12,1,17,5,12,1,17,4,12,1,17,3,12,2,17,7,11,1,17,24,12,1,17,21,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,14,12,1,17,3,12,1,10,1,12,1,11,1,12,1,10,1,9,1,12,1,9,1,12,1,11,2,9,2,11,1,10,1,8,2,10,1,13,1,8,1,13,1,30,1,13,1,30,1,28,1,5,5,13,1,28,9,30,1,13,1,14,3,15,1,11,1,12,1,24,1,9,1,24,1,13,2,6,1,30,1,8,1,13,1,10,1,17,2,11,1,9,1,28,5,7,1,12,1,7,2,13,1,30,1,6,3,28,13,}, {28,1,30,1,28,12,30,1,28,1,6,1,30,1,6,1,13,1,6,1,13,2,8,1,24,1,10,1,15,1,17,2,14,1,9,1,13,1,6,1,24,1,6,2,13,1,8,1,17,2,9,1,13,1,9,1,10,1,9,1,10,1,9,1,7,1,6,1,13,1,9,1,12,1,6,4,30,1,29,1,7,1,24,1,17,1,8,1,30,2,29,1,28,1,6,1,29,1,24,1,10,1,17,1,16,1,12,1,9,1,17,4,11,1,6,1,13,1,29,2,30,1,6,1,30,2,29,1,30,1,7,1,29,1,6,1,30,2,29,2,28,1,30,1,28,3,24,1,28,3,6,1,13,1,6,2,8,1,13,1,14,1,9,1,7,1,24,1,6,1,13,1,29,1,13,1,6,1,24,1,12,1,10,1,8,3,13,1,30,1,13,2,28,1,13,1,8,1,6,1,8,2,10,1,12,1,17,1,9,1,30,1,29,1,30,2,28,1,30,3,6,1,30,1,9,1,13,1,28,3,5,1170,13,1,28,1,30,2,13,1,9,1,29,1,13,1,6,1,7,1,6,1,13,1,29,1,30,4,6,1,30,1,7,1,6,1,13,1,9,2,13,1,7,1,8,1,30,4,6,1,30,1,28,1,7,2,6,2,7,1,13,1,8,1,13,3,7,1,8,1,13,1,8,1,13,1,6,1,30,1,28,1,30,1,13,1,28,30,6,1,7,1,6,1,13,1,30,1,6,1,7,1,12,1,24,1,10,1,17,1,24,1,10,1,12,1,17,1,9,3,24,1,8,1,13,2,8,1,24,1,8,1,6,1,7,1,10,1,6,1,12,1,24,1,10,2,12,1,10,1,24,1,17,1,12,1,24,1,17,1,8,1,29,1,12,1,17,1,12,1,17,6,12,1,17,1,29,1,25,1,8,2,17,1,24,1,29,1,6,1,17,6,12,1,17,7,11,1,17,2,10,1,17,8,16,2,17,8,11,1,17,1,16,1,17,56,11,1,17,6,12,1,11,1,8,1,13,2,6,1,13,4,7,1,13,1,6,1,8,1,13,3,7,1,6,1,29,1,13,1,28,1,13,1,7,1,29,1,7,1,13,1,6,1,13,1,28,1,30,2,28,1,29,1,28,1,6,1,28,6,30,2,28,6,30,1,28,1,6,1,30,1,13,1,7,2,6,1,13,1,7,1,13,1,6,1,7,1,6,3,7,2,6,1,7,1,28,1,6,1,28,3,30,1,28,36,30,1,28,2,30,2,28,5,29,1,30,1,28,1,30,2,28,1,30,1,6,1,30,3,6,1,13,1,24,1,12,1,8,1,6,1,29,1,28,34,30,1,28,2,30,1,28,2,30,1,6,2,28,1,30,2,28,3,7,1,30,2,28,1,30,1,28,2,30,1,7,1,28,7,30,1,28,2,29,1,30,1,28,3,30,1,29,1,30,1,7,1,13,1,7,1,13,2,17,3,9,1,30,2,6,1,28,1,6,1,24,1,12,2,24,1,8,1,13,1,8,1,10,1,6,1,28,14,6,1,13,1,17,1,24,2,13,1,7,1,6,1,13,1,8,1,10,1,12,1,17,1,12,1,24,2,10,1,9,1,12,1,24,1,12,1,11,1,12,4,17,1,11,1,17,9,11,1,16,2,9,1,17,3,16,3,11,1,16,3,17,1,11,1,12,1,17,5,16,1,11,1,17,2,16,3,17,3,16,1,17,3,16,1,17,1,11,3,13,1,11,1,9,1,11,1,17,1,10,1,11,1,10,1,9,2,8,1,13,2,7,2,8,2,13,1,24,1,13,1,8,2,11,1,8,1,7,1,6,1,13,1,8,2,13,1,9,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,6,1,13,1,8,2,13,1,8,1,24,1,9,1,13,1,8,1,13,2,8,1,13,2,9,1,13,1,9,4,11,1,9,1,16,1,9,1,17,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,9,1,16,1,10,1,11,2,16,1,11,1,16,1,9,1,11,1,16,1,11,2,16,1,17,1,9,2,16,1,11,1,16,1,11,1,17,1,16,2,11,1,9,2,11,1,16,2,11,1,16,1,11,1,16,1,17,1,16,2,17,2,9,1,11,1,10,2,11,1,9,1,16,1,9,1,11,2,16,1,17,2,12,1,17,17,16,1,17,3,11,1,17,2,11,2,17,1,11,1,17,3,12,1,10,1,17,2,11,4,12,1,17,1,12,1,11,1,9,1,17,1,11,1,12,1,17,3,11,2,17,1,11,1,12,2,10,1,11,1,12,1,10,2,11,1,10,1,11,1,9,2,8,2,11,1,9,1,11,1,9,2,8,1,12,2,17,1,12,1,17,3,12,1,17,1,12,1,24,1,9,1,8,1,24,1,8,2,9,1,24,1,11,1,6,1,9,1,24,1,8,1,10,1,13,1,9,2,24,1,10,1,12,1,11,1,17,6,10,1,13,1,5,5,16,1,17,2,12,2,17,4,10,1,17,1,11,1,17,2,24,1,17,1,24,1,12,1,17,1,10,1,9,1,10,1,6,2,7,1,6,1,7,1,13,3,24,1,9,1,24,1,10,1,17,1,12,3,17,32,9,1,17,2,12,1,17,2,12,2,17,2,12,1,17,3,12,1,17,9,12,1,17,4,12,1,17,44,12,1,17,2,11,1,17,18,12,1,17,3,11,2,12,2,9,1,12,1,10,1,9,1,8,1,10,1,9,1,11,1,8,2,24,1,9,1,11,1,8,1,13,1,6,1,13,1,6,1,30,1,28,1,5,5,13,1,28,10,24,1,14,2,15,1,14,1,9,1,12,1,17,1,24,1,13,1,7,1,6,4,8,1,24,1,16,2,17,1,13,1,28,5,13,1,17,1,6,2,13,1,29,1,13,1,7,1,30,1,28,13,}, {28,8,30,1,28,4,30,2,6,1,30,1,29,1,6,2,8,1,6,1,9,3,12,1,9,1,17,1,14,2,8,2,13,1,6,1,13,1,29,2,8,1,11,1,15,1,8,1,12,1,10,1,9,1,8,1,12,1,9,1,7,1,6,1,29,1,24,1,15,1,29,1,13,1,30,1,28,1,30,1,13,1,8,1,17,1,24,1,8,1,6,1,30,1,6,2,29,1,13,1,8,1,17,2,16,1,11,1,12,1,16,1,17,4,8,1,6,1,29,3,28,3,6,1,30,1,6,1,29,2,6,1,28,1,30,1,28,2,30,1,28,2,29,1,30,2,28,2,29,1,6,1,13,3,24,1,15,1,13,2,29,1,6,2,30,1,29,1,6,1,24,1,15,1,10,1,9,1,24,1,13,1,6,4,13,2,7,1,24,1,9,1,24,1,10,1,12,1,14,1,15,1,30,1,6,2,28,3,6,1,7,1,6,2,30,1,6,1,28,3,5,1169,6,1,28,2,13,1,6,1,13,1,8,1,13,1,7,2,29,1,13,1,30,2,29,1,28,1,30,2,6,1,13,2,6,1,7,1,8,1,13,2,8,1,13,2,30,1,28,1,6,2,30,1,6,1,30,1,7,1,6,1,13,1,8,1,13,1,8,1,11,1,9,3,13,1,9,2,13,1,8,1,13,1,28,1,6,1,28,1,13,1,6,1,13,1,30,1,28,27,29,2,7,1,6,1,28,1,8,1,24,1,9,1,12,1,8,1,12,1,24,1,9,1,10,1,24,3,8,1,13,1,8,1,13,1,6,1,7,1,8,1,13,1,8,1,24,1,13,1,10,1,12,3,10,3,17,3,10,1,28,1,30,1,7,1,17,1,12,1,17,1,12,1,17,3,12,1,24,1,8,1,28,1,26,1,24,2,12,1,24,1,6,1,24,1,17,3,9,1,17,1,11,1,17,10,11,1,17,11,11,1,17,7,16,1,17,64,10,1,9,1,13,1,6,1,13,2,8,1,6,2,29,1,13,3,8,1,13,4,28,1,29,1,30,1,6,1,28,1,13,1,6,3,29,1,30,1,29,1,6,2,29,1,28,1,30,1,28,14,30,1,28,4,30,1,6,1,30,1,6,1,13,1,6,1,7,1,6,1,13,1,30,1,13,1,29,1,7,1,6,2,7,1,13,1,30,2,29,1,28,1,30,1,28,2,6,2,28,1,30,1,28,23,30,1,28,5,30,1,28,4,30,1,28,3,30,1,28,4,30,1,6,1,28,1,6,1,30,1,28,2,6,1,28,1,6,2,13,3,28,46,30,1,28,1,30,1,6,1,30,5,28,2,30,1,28,2,6,1,28,2,30,1,28,2,30,3,28,1,30,1,28,2,30,1,28,1,6,3,30,1,6,1,13,2,9,1,12,1,17,2,9,1,29,1,6,1,28,2,30,1,8,1,13,1,10,1,8,1,10,1,9,1,8,1,24,1,12,1,29,1,28,10,6,1,30,1,13,1,8,1,10,1,8,3,30,1,9,1,24,1,9,1,12,1,10,1,12,1,8,3,12,1,8,1,10,1,13,1,9,1,12,1,10,1,9,1,17,2,12,1,17,12,11,1,17,2,11,2,17,1,16,1,11,1,17,1,11,1,17,2,16,2,11,2,10,1,11,1,9,1,11,5,16,1,17,3,16,1,17,1,16,1,17,2,16,1,17,3,11,1,9,2,10,1,9,4,10,1,9,2,10,1,11,1,9,1,8,1,10,1,7,1,8,1,13,2,8,5,13,1,24,1,8,2,9,1,13,2,8,2,9,1,13,1,9,2,13,2,8,2,6,1,13,1,8,1,13,1,8,1,24,1,8,1,9,1,13,2,9,6,8,1,13,1,8,1,9,1,16,1,9,1,16,1,11,1,16,1,17,1,11,2,16,4,9,1,16,3,11,2,16,1,9,1,11,1,16,2,9,1,11,1,16,1,11,1,9,2,16,1,11,1,16,1,11,1,16,2,11,1,16,2,9,1,16,1,11,1,16,5,11,1,9,1,10,1,16,2,11,1,17,1,16,1,10,1,16,1,10,1,11,2,16,1,11,3,17,8,11,1,17,2,11,1,16,1,17,10,11,1,17,2,12,1,17,3,11,1,17,1,12,1,11,1,17,4,11,1,17,2,11,1,17,1,11,1,17,1,11,1,12,1,17,5,11,2,17,2,11,1,17,1,12,1,11,2,12,1,10,2,9,2,10,1,9,1,11,1,10,4,8,1,9,1,10,1,12,1,8,1,17,4,12,1,17,1,12,1,17,1,12,1,13,1,7,1,13,1,8,1,13,1,9,1,8,1,10,1,8,1,24,1,13,1,11,1,13,1,10,2,8,1,13,1,8,1,11,1,10,1,17,8,9,1,28,1,5,5,17,2,11,1,17,2,12,1,17,3,12,1,17,1,12,2,11,1,17,1,12,1,10,1,9,1,11,1,9,2,13,1,6,1,29,1,7,3,6,1,10,1,9,1,8,1,24,1,12,4,11,1,12,1,17,1,12,1,17,3,10,1,17,4,11,1,17,30,12,1,17,7,12,1,17,9,12,1,17,72,12,1,17,1,12,1,11,1,17,1,12,1,11,1,9,1,10,1,13,1,12,1,10,1,11,1,10,1,9,1,24,1,8,1,9,1,13,2,7,1,29,1,6,1,30,1,5,5,13,1,28,10,24,1,14,2,15,1,14,1,9,3,24,1,8,1,6,3,7,1,6,1,13,1,9,1,11,1,17,2,30,1,28,4,30,1,8,1,17,1,6,3,28,3,29,1,28,13,}, {28,13,30,1,6,1,29,1,28,1,6,2,30,1,24,1,6,1,24,1,13,1,8,1,9,1,10,1,15,2,14,1,8,1,13,1,7,1,13,1,6,3,9,1,14,1,24,1,9,3,13,1,15,1,10,1,24,1,8,1,30,1,29,1,24,1,15,1,28,1,6,2,28,1,30,1,7,1,8,1,11,1,15,1,8,1,30,1,6,1,7,1,6,1,30,1,8,2,12,1,17,2,10,1,16,1,11,1,17,3,16,1,6,1,13,1,6,2,30,1,6,1,28,1,6,2,30,1,6,1,29,1,30,2,28,1,6,1,28,3,30,1,28,3,30,1,28,2,30,1,6,1,30,1,6,2,8,1,17,1,9,1,8,1,6,2,30,1,6,1,29,1,6,1,8,1,15,1,17,1,9,1,8,1,24,1,13,8,8,1,9,1,11,1,10,1,14,1,24,1,7,1,30,1,28,2,30,1,29,1,6,1,29,1,30,1,6,1,30,1,7,1,28,3,5,1168,6,1,28,1,6,1,30,1,6,1,8,1,13,1,29,1,6,1,13,2,7,1,6,1,28,1,30,2,28,1,29,1,28,1,7,1,6,1,28,1,6,1,30,1,7,1,6,1,13,3,7,1,6,2,29,1,30,4,29,1,13,1,8,1,12,1,10,1,9,1,8,1,12,1,9,1,11,2,13,1,11,1,13,9,30,1,28,9,30,1,28,18,30,1,6,1,28,1,13,1,8,1,10,1,9,1,10,1,12,3,10,1,24,3,13,1,7,1,8,1,13,1,8,1,6,1,13,1,8,1,7,1,13,2,24,4,12,1,24,1,10,2,17,1,12,2,17,1,28,2,29,1,17,3,12,1,17,3,24,1,6,1,30,1,29,1,25,1,8,1,12,1,17,1,24,1,6,1,17,4,11,1,17,8,12,1,17,9,12,1,17,4,11,1,17,2,12,1,17,2,16,1,17,3,16,1,17,50,16,1,17,9,11,1,10,2,9,1,8,1,9,1,8,1,13,2,7,1,13,1,7,1,13,1,7,1,9,1,13,2,8,1,7,2,28,1,30,1,13,1,30,2,13,1,6,1,30,1,6,3,13,1,6,1,28,1,30,1,28,1,13,1,29,1,28,17,30,2,6,1,30,1,6,1,13,1,29,1,6,1,7,1,30,1,7,1,6,1,13,2,30,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,7,2,6,1,29,1,6,3,7,1,6,1,29,2,30,1,28,5,30,1,29,1,28,14,30,1,28,9,30,1,28,1,30,1,28,12,6,1,28,1,29,1,28,1,6,2,28,41,6,2,28,2,6,4,28,1,30,1,28,2,30,1,6,3,7,1,30,4,29,1,7,1,13,1,6,5,28,3,30,3,29,1,6,2,30,1,13,1,8,1,13,1,6,1,10,1,17,3,6,2,30,1,6,1,13,1,9,1,8,1,24,1,10,1,12,1,17,1,24,1,8,1,12,1,13,1,28,10,13,1,9,1,24,1,9,3,24,2,9,1,12,1,24,2,13,2,29,1,6,1,29,3,30,1,29,1,6,1,29,1,8,1,10,2,9,1,17,3,12,1,17,1,12,1,17,4,16,1,11,1,17,2,16,2,17,1,16,1,17,1,16,1,17,6,11,2,16,1,9,4,11,1,17,1,11,1,10,1,11,1,9,1,16,1,17,3,16,1,17,1,16,2,17,4,11,1,10,1,9,1,17,1,10,1,9,3,11,1,10,1,9,2,11,1,12,1,9,1,13,1,8,1,6,1,13,2,9,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,13,2,8,1,13,2,8,3,13,2,9,1,7,1,8,3,9,1,13,1,8,1,9,2,8,2,13,3,9,1,13,1,9,2,10,1,9,2,11,1,16,1,11,1,17,1,16,1,11,1,9,1,16,1,9,1,11,2,16,3,11,1,16,2,11,1,16,1,11,1,9,1,17,1,11,1,9,1,13,1,16,1,11,1,16,1,11,1,9,1,11,1,10,1,11,2,16,2,11,1,17,1,16,6,11,2,16,2,10,1,17,1,16,3,11,1,10,1,11,1,16,1,11,1,10,1,17,1,16,1,10,1,17,1,11,1,17,1,16,1,11,1,17,14,16,1,17,14,11,1,17,3,11,1,17,1,12,1,11,1,17,1,12,1,17,1,11,1,12,1,11,2,10,1,11,1,12,1,11,1,17,1,12,1,17,2,10,1,11,1,10,1,12,1,11,1,12,1,17,1,11,1,12,1,11,1,12,1,10,1,9,1,10,1,9,2,24,1,10,1,9,1,11,1,9,2,10,1,11,1,17,2,10,1,12,1,11,1,12,1,8,1,24,1,6,1,8,2,13,1,8,3,24,1,9,3,24,1,10,2,8,2,13,2,12,1,17,1,10,1,17,5,11,2,13,1,28,1,5,5,16,1,11,1,17,6,12,1,17,3,10,1,12,1,11,1,12,1,9,1,10,2,9,1,13,1,7,1,6,1,7,1,13,1,30,1,24,2,8,1,9,1,10,1,9,1,17,1,10,1,12,1,11,1,10,1,17,3,11,1,17,2,12,1,17,5,12,1,17,6,12,1,17,12,12,1,17,6,12,1,17,10,10,1,17,13,12,1,17,68,12,3,11,1,9,1,11,1,10,1,17,1,8,1,12,1,8,1,9,2,12,1,8,1,9,2,8,1,13,3,30,1,6,1,28,1,5,5,13,1,28,9,30,1,9,1,14,4,10,1,9,2,10,1,13,2,6,1,30,2,6,1,24,1,10,1,17,1,16,1,10,1,13,1,28,5,13,1,17,1,6,1,30,1,28,1,29,1,30,3,28,13,}, {28,2,30,1,28,8,30,3,28,4,8,1,13,1,30,1,6,1,13,1,24,1,9,3,10,1,15,1,14,1,9,1,13,3,6,4,14,1,8,2,10,1,24,1,9,1,8,1,24,1,12,1,8,1,29,1,30,1,24,1,14,1,29,1,30,1,29,2,6,2,15,1,9,1,10,1,6,1,13,1,30,1,29,1,6,1,28,1,13,2,12,1,11,1,12,1,11,1,9,1,11,1,17,2,16,1,17,1,8,1,13,1,6,1,28,2,29,1,6,1,30,1,6,1,29,1,6,1,28,1,7,1,6,1,28,1,29,1,7,1,29,1,6,5,28,3,30,1,6,1,8,2,7,1,10,1,17,1,24,1,29,1,7,1,6,1,29,2,6,2,9,1,15,2,10,1,8,1,24,1,7,1,6,1,8,1,13,1,8,1,13,2,8,2,9,1,13,1,16,1,14,1,16,1,6,1,29,1,28,3,6,1,30,2,6,1,13,1,6,2,28,3,5,1167,28,1,30,1,28,1,6,1,13,1,7,1,29,1,13,2,7,1,13,1,7,2,30,2,29,1,28,2,30,1,28,1,6,1,30,2,29,1,6,2,30,1,28,1,7,1,9,1,13,1,6,1,29,1,6,2,30,2,6,2,9,1,12,3,9,1,11,1,17,1,11,3,9,1,13,2,9,2,13,1,11,1,9,1,8,1,9,1,16,1,30,1,28,10,6,1,28,1,30,1,28,15,6,1,29,1,7,1,8,1,9,1,10,1,24,1,10,2,12,1,10,2,24,1,9,1,7,1,13,1,6,4,25,1,7,1,25,2,8,1,24,1,8,1,10,1,12,6,17,1,10,1,12,1,17,1,28,3,12,1,17,5,6,1,30,1,28,1,25,2,24,2,12,2,6,1,8,1,17,4,12,1,17,4,12,2,17,16,12,1,11,1,12,1,17,5,11,1,12,1,17,1,11,2,17,50,16,1,17,5,12,2,9,1,8,1,13,1,8,1,13,1,8,1,13,3,7,1,13,1,8,1,9,2,13,1,6,1,13,2,29,1,7,1,6,2,30,4,28,2,6,1,29,1,6,1,29,1,28,2,30,1,28,8,30,1,28,12,30,2,28,1,13,1,6,2,13,1,30,1,7,1,6,3,13,1,6,1,7,2,6,1,7,2,6,1,7,1,6,2,30,1,7,1,30,1,7,1,13,2,30,1,28,1,30,1,13,1,28,1,6,2,29,1,28,5,30,1,28,3,6,1,28,11,30,2,28,1,30,1,28,1,6,1,28,3,30,1,28,6,30,1,28,2,30,1,28,2,30,2,6,1,30,1,28,2,6,1,28,39,30,1,28,2,29,1,30,1,6,1,30,1,6,2,30,1,6,2,30,1,7,1,28,1,29,1,6,1,28,1,30,1,28,1,6,1,7,3,28,1,6,2,30,1,29,1,30,2,6,1,13,2,28,1,29,1,28,1,7,1,30,1,6,1,7,2,13,2,10,1,17,2,11,1,13,1,6,1,8,2,13,1,8,1,9,1,8,3,9,1,10,1,12,1,10,1,8,1,28,7,30,2,6,1,8,1,10,1,12,3,11,1,12,1,10,1,17,1,9,1,8,1,6,1,28,1,6,1,28,1,29,1,30,1,29,1,30,1,29,1,30,1,28,1,6,1,7,1,9,1,12,3,17,2,16,1,11,1,16,1,17,1,12,1,17,1,11,1,17,5,16,2,17,1,11,1,16,1,17,1,16,2,17,1,16,1,11,1,9,2,10,1,9,1,8,1,13,1,9,1,11,3,10,1,11,2,16,1,17,11,16,1,11,4,17,1,9,1,11,2,9,1,12,1,11,1,9,1,10,1,9,1,10,1,13,5,8,2,9,2,8,1,10,1,9,1,13,1,9,2,8,1,13,1,8,2,13,1,8,3,13,2,9,1,8,1,9,1,8,2,9,1,8,3,9,1,13,1,9,3,8,1,11,2,9,3,11,1,16,1,17,1,9,1,16,1,11,1,16,1,9,1,11,1,16,3,11,3,9,1,11,1,16,1,9,1,11,2,9,1,11,2,9,2,11,4,9,1,16,1,11,4,10,1,11,1,16,3,11,1,16,1,11,1,16,5,11,1,17,1,16,3,17,1,16,1,11,1,16,2,11,7,10,1,11,1,17,7,16,1,17,5,16,1,17,6,16,1,17,2,11,1,17,1,11,1,17,6,11,1,17,1,12,1,17,3,11,3,17,2,11,1,17,1,12,1,10,1,17,1,12,1,11,2,17,1,11,1,17,1,11,1,12,1,11,2,17,1,11,1,9,1,12,1,9,1,12,1,11,1,10,1,9,1,10,1,9,2,10,2,8,1,17,5,12,1,17,1,9,1,6,1,13,1,6,1,13,2,8,1,13,1,7,1,8,1,24,1,8,5,12,1,24,2,8,1,9,1,12,1,17,8,9,1,7,1,28,1,5,4,16,2,17,1,11,1,17,4,11,2,12,1,17,2,11,1,9,1,12,2,10,2,12,1,8,2,7,1,13,1,29,1,6,1,8,1,6,1,8,1,13,1,9,1,11,1,17,1,12,1,10,1,11,1,12,1,11,1,17,1,12,1,17,7,11,1,17,4,11,1,17,4,12,1,17,1,12,2,17,4,12,1,17,24,12,1,17,78,12,2,17,1,12,4,17,1,10,1,11,1,9,2,8,1,9,2,12,1,10,2,13,2,24,1,13,1,7,1,6,2,30,1,5,5,13,1,28,10,8,1,14,2,10,1,9,1,10,3,12,1,8,1,6,2,30,1,7,1,29,1,7,1,8,1,17,2,10,1,6,1,28,5,12,1,10,1,6,1,28,2,30,1,29,1,30,1,28,14,}, {28,9,30,1,6,1,7,1,28,1,30,1,28,2,6,1,28,2,30,1,13,1,29,1,8,1,10,1,9,1,8,1,13,1,12,1,14,1,15,2,6,1,13,1,6,2,13,1,6,1,13,1,24,1,10,1,13,1,24,1,13,2,8,1,9,1,10,1,8,1,13,1,29,1,10,1,15,1,8,1,13,1,30,1,6,1,30,1,7,1,13,1,12,1,9,1,6,2,29,1,30,1,29,1,13,2,24,1,10,1,17,1,16,1,12,2,17,1,12,1,17,3,8,1,13,1,6,1,29,1,7,1,28,1,6,1,30,1,28,1,30,2,6,2,29,1,13,1,29,1,6,1,29,2,7,1,6,1,30,1,6,1,28,3,30,1,13,1,6,1,8,1,13,1,9,1,12,1,9,1,7,2,6,1,30,1,29,1,6,1,30,1,8,1,14,2,11,1,9,1,13,1,8,1,13,1,8,1,7,1,13,2,9,1,13,1,10,1,8,1,17,1,14,3,8,1,30,1,28,1,6,1,28,1,29,1,7,1,30,1,6,1,29,1,30,1,13,1,6,1,28,2,5,1166,6,1,28,1,30,1,28,1,6,1,7,1,6,1,8,1,13,3,8,1,13,1,30,3,28,2,30,2,6,2,30,2,28,1,6,1,13,2,9,2,11,1,9,2,8,1,13,1,30,1,7,1,28,1,30,1,9,1,8,1,12,1,9,1,17,1,9,1,17,2,11,1,17,1,9,2,11,2,9,1,13,2,9,1,11,2,9,1,17,1,30,1,28,10,30,3,28,2,30,1,28,12,6,2,9,1,24,1,10,1,9,1,10,1,12,1,10,2,9,2,24,1,8,1,6,2,13,1,29,1,7,1,6,1,7,1,6,2,8,2,24,1,8,1,24,1,10,1,24,1,17,1,10,1,17,1,12,1,17,2,13,1,17,1,7,1,28,2,24,1,17,2,12,1,17,1,26,1,29,1,28,1,30,1,8,1,10,1,12,2,8,2,7,1,12,1,17,1,12,1,17,11,11,1,17,1,9,1,17,1,12,1,17,3,12,1,17,4,16,1,17,2,11,1,17,4,12,2,17,1,11,1,17,1,10,1,17,44,16,1,17,10,11,1,9,1,13,1,9,1,13,2,8,1,13,1,8,1,13,3,8,1,13,1,9,1,7,1,13,1,6,1,7,1,13,1,8,1,7,1,29,1,30,1,6,1,29,1,28,1,30,4,28,3,30,1,28,20,30,1,28,7,30,1,29,1,30,1,6,2,13,1,7,2,13,1,6,1,13,1,6,1,13,1,6,2,7,2,6,1,13,1,6,1,13,2,7,1,6,1,9,1,30,1,6,2,28,1,6,1,13,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,6,1,28,2,13,1,28,13,6,1,30,1,28,2,30,1,28,53,6,2,7,1,6,2,13,1,6,3,13,1,30,2,6,1,30,3,6,1,28,1,6,1,30,1,13,1,6,1,7,1,6,1,28,1,29,1,13,1,30,1,6,1,30,1,6,2,13,1,6,1,7,2,13,1,8,1,13,1,8,1,11,1,17,2,8,1,9,3,17,1,8,1,12,1,9,1,12,1,17,2,10,1,12,1,10,1,7,1,28,7,29,1,13,1,24,1,12,1,10,1,17,2,12,1,11,1,17,1,12,1,24,2,30,1,6,1,28,4,30,1,28,2,30,1,29,1,30,1,29,1,12,1,9,2,12,1,11,1,12,1,11,1,17,1,11,1,17,12,16,1,11,1,16,2,17,2,11,1,16,2,9,1,11,2,16,1,11,1,9,2,11,1,10,1,16,2,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,7,16,1,11,1,10,1,11,1,9,2,11,1,12,1,10,1,11,1,9,1,11,4,9,1,8,1,6,3,7,1,6,1,13,3,9,1,24,1,9,1,10,1,9,1,13,1,10,1,8,1,13,5,8,1,13,1,9,1,8,1,9,1,8,1,13,1,9,2,13,1,9,3,13,1,9,1,13,1,9,1,8,2,9,1,8,1,17,1,11,1,10,1,16,2,11,1,16,1,11,2,16,2,11,4,16,1,9,4,11,7,16,1,9,1,16,1,9,1,11,3,9,1,16,1,11,1,16,2,9,1,17,1,11,1,16,3,11,1,17,1,16,1,17,1,16,4,17,1,16,3,11,1,16,2,11,1,16,1,11,1,16,1,11,3,9,1,12,1,11,3,17,4,11,1,17,13,16,1,17,5,12,1,17,3,12,1,17,1,11,1,17,1,11,1,17,1,11,5,12,1,11,1,10,1,17,1,11,2,9,1,17,1,10,1,12,3,11,1,17,1,12,1,11,1,12,3,10,1,12,1,11,3,9,1,10,2,9,2,10,1,9,2,17,1,12,1,17,1,12,2,8,3,13,3,8,1,7,1,24,1,13,2,7,1,8,1,24,2,13,1,24,1,12,1,10,2,8,1,10,1,17,2,12,1,17,7,9,1,7,1,28,1,5,4,16,1,11,1,12,1,17,8,12,2,17,2,12,2,9,1,11,1,24,1,9,1,7,2,13,1,6,1,7,1,6,1,8,2,10,1,12,1,8,1,12,2,9,1,17,1,10,1,12,1,17,1,12,1,17,3,12,1,17,8,12,1,17,4,12,1,17,37,12,1,17,72,12,2,11,1,17,1,12,1,17,3,11,1,10,1,17,1,12,1,9,2,10,1,11,1,24,1,9,1,8,1,24,1,9,1,13,2,30,1,6,1,30,1,6,1,5,5,30,1,28,10,24,1,14,2,12,2,9,1,24,1,9,2,12,1,6,1,13,1,6,1,30,1,13,1,24,1,9,1,12,1,17,1,10,1,28,6,9,1,11,1,7,1,28,1,6,1,28,1,6,1,30,1,28,14,}, {28,3,30,1,28,7,6,1,28,1,29,1,28,4,29,1,7,1,13,1,6,1,8,1,13,1,8,1,13,1,24,1,9,1,14,2,11,1,9,1,13,1,6,2,13,1,6,1,24,1,12,1,9,1,8,2,24,1,13,3,15,1,7,3,9,1,12,1,8,2,13,1,29,1,30,1,29,1,13,1,9,2,6,4,29,1,28,1,30,1,13,1,8,1,16,1,9,1,16,1,10,2,17,3,12,1,8,1,6,1,13,1,28,1,6,1,30,4,6,3,13,1,6,1,7,1,13,1,7,1,6,1,30,1,6,1,28,1,29,3,30,2,28,1,13,1,7,1,9,1,13,1,8,1,15,1,12,1,6,1,30,2,29,1,6,1,29,1,6,1,9,2,14,1,15,1,9,1,8,1,9,1,13,3,8,1,7,1,13,2,7,1,16,1,11,1,17,2,11,1,8,1,28,4,30,1,6,4,30,1,13,1,28,3,5,1165,6,1,28,1,30,1,6,1,13,1,7,1,13,2,7,1,13,1,8,1,7,1,13,1,6,2,30,2,28,1,30,2,28,1,6,1,8,2,28,1,30,1,13,1,12,1,8,1,10,1,8,1,10,1,8,1,9,1,11,1,9,2,6,3,8,1,10,1,8,1,13,2,9,1,12,1,17,2,16,1,17,1,12,1,17,1,8,1,28,1,9,1,10,2,9,3,17,1,28,11,30,3,28,1,29,1,28,11,30,2,13,1,10,1,9,1,17,1,10,1,12,2,10,1,12,2,9,1,24,1,9,1,8,1,6,1,7,1,6,2,8,1,25,1,7,1,6,1,25,1,8,1,24,2,10,1,12,1,10,1,12,1,10,1,17,1,12,1,9,1,12,1,17,1,13,1,12,1,17,1,28,3,17,4,30,1,28,1,27,1,25,1,10,1,12,1,8,1,6,1,30,1,6,1,13,1,12,2,17,5,12,1,17,1,11,1,17,4,10,1,17,1,12,1,17,1,11,1,17,19,12,2,11,2,17,31,16,1,17,21,13,3,6,1,13,1,9,1,13,2,8,1,13,2,9,1,13,1,9,2,10,1,13,2,9,1,7,1,13,1,30,1,29,1,30,1,28,1,30,2,28,38,29,1,30,1,6,3,7,2,6,3,30,1,28,1,6,3,13,1,30,1,13,4,7,1,6,1,13,1,6,1,30,1,29,1,6,1,7,1,30,1,28,1,6,1,28,1,30,1,28,5,6,1,28,1,6,1,28,6,30,1,28,2,6,1,29,1,28,1,13,1,30,2,29,1,30,1,28,2,29,1,28,15,30,1,28,1,30,1,28,3,6,1,30,1,28,41,30,1,6,3,13,1,30,1,6,1,7,1,6,3,28,1,13,1,30,2,6,1,30,2,7,1,6,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,6,1,13,1,30,1,6,1,7,1,29,1,13,3,8,4,10,1,17,2,10,1,17,1,11,1,12,1,16,1,17,1,11,1,17,1,12,1,11,1,12,1,9,1,11,1,10,1,8,1,29,1,28,6,13,2,12,1,10,1,12,1,17,1,12,1,17,1,12,1,11,1,9,2,13,1,29,1,6,1,28,6,30,1,29,1,6,1,30,1,6,1,10,2,9,1,8,1,12,1,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,2,12,1,17,5,11,1,17,2,16,2,17,1,11,1,16,3,17,1,11,3,16,1,10,1,11,1,16,1,11,1,16,1,17,1,11,1,17,11,16,2,11,1,9,1,11,1,9,1,10,1,9,2,10,1,16,1,8,1,11,1,9,4,7,1,13,1,6,1,13,4,24,1,13,1,8,3,9,1,10,1,13,1,8,1,9,3,13,2,9,1,13,1,8,1,9,2,8,1,9,1,13,2,9,1,8,1,13,1,9,2,13,1,9,1,8,1,11,1,9,1,11,1,9,1,16,1,11,2,16,1,11,1,16,1,10,1,16,1,11,1,16,3,11,1,16,1,10,1,11,3,16,1,9,1,10,1,9,1,12,1,9,1,16,1,11,1,9,1,11,1,16,1,11,3,9,1,11,2,9,1,16,1,9,1,11,3,16,2,17,1,11,1,17,2,16,3,11,1,17,1,11,1,17,1,16,1,11,1,16,3,11,1,16,2,17,1,11,2,16,1,9,1,16,1,10,1,11,1,9,1,17,1,11,2,17,18,11,1,17,4,12,1,11,1,17,5,11,1,17,2,12,1,11,3,17,1,11,2,12,1,10,2,12,1,17,1,11,1,12,1,17,1,11,1,17,1,12,1,10,1,11,1,12,1,11,1,12,1,11,3,17,1,10,1,17,1,10,1,12,1,9,2,11,1,10,1,9,1,11,1,12,1,17,1,12,1,10,2,13,1,8,1,13,1,8,1,13,2,7,1,8,1,24,1,13,1,6,1,13,1,8,1,13,2,8,1,11,1,9,1,12,1,10,1,8,1,12,2,17,8,10,1,24,1,8,1,30,1,9,1,5,2,16,1,11,1,17,4,11,1,17,2,12,1,17,1,12,1,17,1,11,1,17,3,11,1,9,1,8,1,9,1,13,2,6,2,7,1,6,1,7,1,8,1,9,1,17,1,9,1,12,1,11,2,12,2,17,7,12,1,17,6,12,1,17,4,12,1,17,10,12,1,17,10,12,1,17,5,12,1,17,86,12,1,17,3,12,1,11,1,12,2,11,1,9,1,13,1,11,1,8,1,13,1,9,1,11,1,8,4,13,2,7,2,6,1,5,5,28,11,11,1,14,1,10,1,12,1,24,1,9,1,8,1,11,1,12,1,13,2,30,1,29,2,6,1,13,1,12,1,16,1,17,1,9,1,30,1,28,5,9,1,24,1,30,1,29,1,28,2,30,1,6,1,28,14,}, {28,6,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,1,29,1,6,3,7,1,13,2,9,1,24,1,14,2,9,1,8,1,6,1,13,1,29,1,6,3,12,1,15,1,9,1,24,1,9,1,8,1,9,1,8,1,12,1,8,1,6,1,30,1,24,1,17,1,8,1,13,1,7,2,6,2,13,3,24,1,6,7,9,1,17,1,10,1,17,2,11,1,16,1,17,2,11,1,9,1,8,1,29,2,28,2,30,1,6,3,30,1,6,3,7,1,6,7,30,1,28,2,30,2,8,1,13,1,10,2,12,1,17,1,9,1,13,1,30,1,29,1,6,4,8,1,14,3,9,1,24,1,13,2,9,1,8,1,13,2,9,1,13,1,10,1,9,1,16,1,17,2,14,1,13,1,28,1,30,4,13,1,28,1,6,1,28,1,6,1,13,1,30,1,28,2,9,1,5,1162,13,1,28,2,30,2,6,1,13,2,6,1,13,1,8,1,7,1,8,1,6,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,13,1,6,1,13,1,9,1,10,1,11,1,13,1,9,1,11,1,9,3,10,1,9,1,10,1,8,1,6,1,13,4,24,1,11,1,10,1,11,2,10,1,11,2,17,1,12,1,17,3,11,1,16,1,17,1,16,1,17,2,28,8,30,1,28,1,30,1,6,1,29,2,13,1,28,1,6,1,28,9,13,1,24,1,8,1,9,1,11,1,10,1,17,4,12,3,10,2,9,1,8,1,7,1,6,1,13,1,6,2,13,1,7,2,8,1,10,2,24,1,10,2,12,2,17,1,10,1,12,1,17,1,24,1,17,1,24,2,12,1,24,1,6,1,28,1,8,1,17,2,24,1,28,1,26,1,8,1,10,1,12,1,24,1,29,1,30,1,28,1,7,1,24,1,17,11,10,1,11,1,17,7,12,2,17,4,9,1,17,3,12,1,17,1,11,1,17,1,12,1,17,1,11,3,12,1,17,1,10,1,17,26,16,4,11,1,17,1,11,1,16,2,17,1,16,1,17,1,11,1,17,1,16,2,17,8,12,1,10,1,13,4,8,1,7,1,9,1,8,1,9,1,13,1,11,1,8,1,9,1,13,1,9,1,13,2,8,1,13,1,7,1,13,1,29,2,6,1,28,1,30,2,28,3,30,1,28,28,30,1,28,4,30,1,29,1,30,3,6,1,28,1,13,1,29,1,30,1,6,1,28,1,6,1,29,2,6,1,30,1,6,1,29,1,6,1,7,1,13,1,29,1,7,1,6,2,7,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,5,29,1,30,1,28,2,30,1,28,12,30,1,28,15,6,1,28,4,30,1,28,36,30,1,28,3,30,1,6,2,13,1,7,1,30,1,13,1,6,2,13,1,6,4,30,1,7,2,29,1,7,1,13,1,7,1,6,1,7,1,29,1,7,1,30,1,6,1,30,1,7,1,30,1,13,1,6,1,13,2,6,1,13,4,11,1,17,3,11,1,10,1,17,5,9,1,17,1,9,1,12,2,11,1,12,1,29,1,28,4,29,1,30,1,8,2,17,1,12,1,11,1,17,3,12,2,11,1,9,1,6,1,29,1,13,1,8,1,24,1,7,1,13,1,6,1,29,1,6,1,7,1,8,4,10,1,12,1,9,1,11,1,9,1,17,1,12,1,17,1,11,1,17,1,12,1,11,1,17,10,16,1,17,2,16,4,17,3,10,1,16,1,11,2,17,1,16,1,17,6,16,1,17,9,11,2,9,2,10,1,9,1,11,1,10,1,11,1,9,2,16,1,11,1,16,1,9,1,10,1,13,1,8,6,13,1,24,1,13,1,9,3,13,1,10,1,8,2,9,1,13,1,8,1,13,1,8,1,9,1,8,1,13,1,9,1,13,1,9,3,8,1,13,1,9,1,8,2,12,1,9,3,11,3,10,1,16,1,11,1,16,1,9,2,17,1,9,1,16,4,11,1,9,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,11,4,10,1,9,1,11,1,16,1,11,1,16,2,9,1,16,1,11,1,16,2,10,1,11,1,17,1,11,1,16,5,11,1,16,7,11,1,16,1,17,1,11,1,16,1,11,1,16,5,11,2,10,1,11,3,17,1,11,1,17,13,16,1,17,2,11,1,17,6,11,1,17,2,12,1,17,2,12,1,11,1,12,2,11,1,12,1,10,1,11,1,12,1,11,1,17,1,11,1,12,2,17,1,12,1,11,1,9,1,17,2,11,2,17,2,11,2,12,1,11,2,10,1,9,2,12,1,11,1,10,1,9,1,10,1,9,2,24,1,10,1,17,2,24,1,13,1,9,1,13,1,8,2,24,1,7,1,13,1,7,1,13,4,9,1,8,1,13,3,17,1,11,1,17,1,11,1,17,2,12,1,17,10,13,3,9,2,11,2,17,1,12,1,17,5,12,2,17,4,11,1,10,1,12,1,9,1,8,2,13,2,29,1,13,1,7,1,6,1,13,1,24,1,10,1,11,2,12,2,10,1,12,1,17,4,12,1,17,1,12,1,17,26,12,1,17,3,12,1,17,4,11,1,17,8,12,1,17,1,10,1,17,71,12,1,17,4,12,1,17,5,12,1,17,3,12,1,17,1,11,1,9,1,11,1,12,1,8,2,13,1,24,1,9,1,8,2,24,1,8,1,7,1,6,1,13,1,30,1,6,1,5,5,28,10,30,1,24,1,16,1,14,1,17,1,12,1,10,1,9,1,8,1,24,1,13,1,30,1,29,1,30,2,13,1,8,1,14,1,17,2,10,1,28,6,11,1,12,1,6,1,28,1,29,1,28,1,7,1,28,15,}, {28,4,30,1,28,11,30,1,28,2,13,1,7,1,6,1,30,1,13,1,8,1,13,1,24,2,14,2,15,1,13,1,24,1,13,1,6,3,13,1,9,1,17,1,15,1,8,1,24,1,8,1,24,1,8,1,9,1,8,1,6,1,30,1,8,1,17,1,9,1,24,1,13,1,6,3,7,1,16,1,9,1,13,1,29,1,6,1,30,1,6,2,29,1,24,1,8,1,17,2,9,1,11,2,17,3,12,1,13,1,6,1,13,1,30,1,28,2,6,1,29,1,13,1,6,2,13,2,6,1,7,1,30,1,6,1,13,1,30,1,29,1,30,1,6,1,28,4,6,1,7,1,8,2,9,1,10,1,14,1,24,2,30,1,29,1,6,1,30,1,29,1,30,1,8,1,17,3,10,1,9,1,8,3,13,1,6,1,13,1,6,1,7,1,17,1,16,1,17,3,16,1,10,1,28,3,29,1,28,1,7,1,6,1,28,1,29,1,30,1,13,1,28,3,9,1,5,1160,33,1,13,1,28,3,13,1,6,1,7,1,13,1,7,1,24,1,8,2,6,1,7,1,13,1,6,1,30,1,28,2,6,1,30,1,28,1,30,2,28,1,24,1,7,1,10,1,9,1,10,1,13,1,10,1,12,2,9,1,12,2,11,1,17,1,12,1,10,1,8,1,13,2,8,1,24,1,17,1,9,1,10,2,9,2,12,1,10,1,17,1,16,2,11,1,17,7,29,1,28,9,30,1,29,1,6,2,7,1,6,1,28,3,30,1,28,1,30,1,6,1,7,1,13,3,8,1,9,1,17,1,12,2,17,2,12,2,17,1,12,1,17,1,9,1,10,1,9,1,8,1,13,2,7,1,8,5,12,1,24,2,12,2,24,1,12,2,17,1,12,1,17,1,10,1,12,1,17,1,12,1,24,1,10,2,24,1,28,1,6,1,17,1,12,1,8,1,30,1,8,1,24,1,12,2,6,1,28,1,29,1,13,1,10,1,12,1,17,1,12,1,17,10,10,1,17,2,10,1,17,10,11,1,17,4,11,1,17,1,12,1,11,1,17,1,10,1,11,1,17,1,11,1,9,1,11,1,17,4,12,1,17,22,16,2,11,2,17,1,16,1,11,1,16,2,17,14,8,2,13,2,8,1,13,1,8,4,9,1,11,1,17,1,8,1,9,1,13,1,9,1,13,6,29,1,6,1,29,1,30,2,28,38,30,1,29,1,30,2,13,1,28,1,6,1,28,1,6,1,30,2,6,1,28,3,30,2,6,1,30,2,6,1,13,1,6,1,7,1,29,1,30,1,13,1,30,2,6,1,30,3,28,1,30,1,28,2,6,1,28,3,29,1,7,1,29,1,28,1,30,1,28,2,6,1,28,6,30,1,28,1,30,1,28,2,6,1,28,2,30,2,6,1,28,12,29,1,28,2,30,1,28,3,6,1,29,1,7,1,28,1,7,1,28,39,30,1,13,1,7,1,30,1,29,1,13,1,29,1,28,1,6,4,7,1,29,1,30,2,29,1,30,2,13,1,7,1,13,1,6,5,7,1,6,1,30,1,7,2,29,1,13,6,11,1,17,8,13,1,11,1,12,3,17,3,9,1,29,1,28,3,30,1,29,1,7,1,9,1,8,1,12,1,16,1,12,1,11,1,17,2,11,1,24,1,11,1,13,1,11,1,9,1,8,1,10,1,12,2,11,1,8,1,17,1,9,1,24,1,12,1,10,1,9,1,17,1,10,1,17,1,9,1,11,1,12,2,10,1,17,6,12,1,10,1,11,1,17,7,11,1,17,1,11,3,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,6,16,1,17,4,16,1,17,1,11,4,16,1,11,1,10,1,11,1,10,1,9,1,11,1,8,1,13,1,8,1,11,1,8,3,13,1,8,1,9,1,24,1,9,1,13,1,8,1,13,2,8,2,13,1,9,3,8,1,9,1,13,1,9,2,8,1,9,2,13,1,9,1,8,1,9,1,13,1,9,2,13,4,9,2,8,1,10,1,8,1,11,1,10,1,16,1,9,1,17,1,11,1,16,2,11,1,10,1,16,2,11,1,16,1,9,1,10,1,11,1,9,3,8,1,9,1,10,1,16,1,9,1,8,1,17,1,11,2,16,1,17,1,11,1,9,1,11,1,16,1,11,1,10,1,11,2,16,1,11,1,16,3,11,1,16,1,17,1,16,2,17,1,16,1,17,1,11,1,16,4,11,2,16,5,11,1,16,4,17,1,10,1,11,1,16,2,11,3,17,1,12,1,17,5,16,1,17,1,16,1,17,8,16,1,17,11,12,1,17,3,12,1,11,1,12,1,17,1,12,2,11,1,12,1,17,1,11,4,12,1,17,1,11,2,12,1,17,1,11,1,9,2,11,3,24,1,10,1,12,1,10,1,9,2,10,2,8,1,17,1,10,1,13,1,8,1,7,1,13,2,7,1,13,1,8,1,24,1,8,2,13,1,24,1,8,1,6,1,13,2,8,1,9,1,10,1,12,1,10,1,11,1,12,1,17,7,12,1,17,3,12,1,24,1,8,2,11,1,17,1,12,1,17,5,12,1,17,7,12,1,17,1,10,1,9,1,8,1,9,1,13,1,7,1,13,3,6,1,13,1,7,1,13,1,9,1,17,1,10,1,11,1,17,4,12,1,17,11,11,1,17,2,12,1,17,3,12,1,17,1,12,1,17,30,12,1,17,2,11,1,17,71,12,1,17,9,12,1,17,1,10,1,17,2,12,2,10,1,9,1,24,1,9,1,24,1,11,2,9,1,8,1,13,3,7,1,6,2,5,5,28,11,8,1,17,3,9,1,10,1,9,1,24,1,13,1,6,1,29,1,7,1,6,1,28,1,6,1,8,1,15,1,11,1,17,1,9,1,28,6,9,2,30,1,28,1,30,1,28,17,}, {28,8,6,2,28,3,30,2,28,1,29,1,28,1,30,2,6,2,28,1,8,1,24,1,8,1,13,1,12,1,14,2,16,1,8,1,13,3,7,1,6,1,13,1,9,1,17,1,13,1,8,1,12,1,10,1,8,1,9,1,13,1,9,1,6,1,29,1,24,1,17,1,24,1,6,1,13,1,6,1,7,1,29,1,24,1,10,1,9,1,6,2,30,1,6,2,7,1,6,1,8,2,17,2,12,1,17,5,16,1,8,1,13,2,28,1,29,1,28,1,6,2,28,1,29,1,6,1,13,1,6,3,13,1,29,1,13,1,7,1,6,1,28,1,6,2,30,1,28,1,30,1,6,1,8,1,13,1,7,1,8,1,24,1,14,1,10,1,6,2,29,1,6,2,28,2,8,1,17,4,10,1,9,3,8,1,9,1,11,4,12,1,16,1,12,1,14,1,8,1,6,1,30,2,28,2,6,2,28,1,6,1,30,1,6,1,13,1,28,3,5,1160,28,2,30,1,28,1,30,1,7,1,30,1,13,1,7,1,13,2,29,1,8,1,13,1,6,1,13,1,29,1,30,1,28,1,30,2,6,1,28,1,29,1,30,1,28,1,29,1,7,1,9,1,10,1,9,1,17,1,24,1,11,1,8,1,9,1,12,1,17,4,12,2,9,1,13,3,8,1,24,1,10,1,13,1,8,1,11,1,9,3,17,1,12,1,11,1,17,1,10,1,17,6,13,1,28,9,6,1,29,1,6,1,13,2,6,1,30,3,7,1,9,1,11,1,10,1,9,1,13,1,8,1,9,1,10,1,12,1,17,5,12,1,17,3,12,2,10,1,8,2,24,1,8,3,24,3,10,1,24,1,12,2,17,1,10,1,17,1,9,1,17,1,10,1,17,2,12,1,17,3,10,1,9,1,17,1,12,1,8,1,24,1,10,1,24,1,25,1,6,1,24,3,8,1,24,1,29,1,6,1,10,1,24,1,17,15,10,1,17,5,12,1,17,3,12,3,16,1,17,5,11,1,17,1,12,2,11,1,9,1,17,1,11,1,17,1,12,1,17,4,12,1,17,19,16,1,17,1,16,1,17,2,11,2,16,1,17,16,11,1,9,3,13,1,8,1,9,1,13,1,9,1,11,2,17,3,8,1,9,1,11,2,9,1,13,4,6,1,30,1,28,2,30,1,28,37,30,1,28,3,29,1,30,1,28,2,30,2,13,1,29,1,28,8,30,2,28,1,30,1,6,1,28,1,30,1,29,1,30,2,28,1,30,1,28,1,6,1,30,2,28,2,7,1,28,2,30,2,28,5,30,2,28,9,30,1,28,23,30,1,28,1,30,1,28,3,6,1,28,1,30,4,28,35,30,3,8,1,7,1,13,1,7,1,29,1,7,1,29,1,13,1,7,2,6,1,7,1,28,1,7,1,6,1,30,1,6,1,7,1,30,1,7,1,6,1,30,1,13,1,6,2,28,1,7,1,6,1,7,2,30,1,13,6,11,1,17,2,11,2,17,3,13,1,28,3,6,1,10,1,12,1,17,1,8,1,12,1,30,1,28,4,6,1,8,1,9,2,11,1,17,2,12,2,11,4,12,3,17,6,12,1,17,3,12,1,10,1,17,3,12,1,17,2,9,1,17,1,11,1,17,10,16,1,17,6,16,1,11,1,17,3,11,1,17,4,16,1,17,2,16,1,17,5,16,1,17,8,16,1,11,1,16,1,9,1,11,1,9,1,11,4,9,1,16,1,17,1,11,1,9,1,11,1,9,1,24,1,9,1,13,1,8,1,24,1,13,1,24,1,8,2,13,1,8,2,24,1,9,1,8,1,9,2,8,1,9,1,8,1,13,1,9,3,8,1,9,1,10,1,9,2,8,1,9,1,13,3,8,2,13,1,9,2,8,2,11,1,16,2,11,4,16,1,11,4,9,1,11,1,16,1,10,1,9,3,11,1,9,3,16,1,10,1,11,2,17,1,9,1,10,1,9,1,10,1,11,1,12,1,9,1,11,2,16,1,11,3,16,1,11,3,16,3,17,2,11,1,16,2,17,1,16,2,11,1,16,3,11,1,17,1,16,1,11,5,16,1,10,1,11,1,16,1,11,2,16,1,12,1,11,1,17,1,11,1,17,2,16,1,17,6,16,1,17,8,11,1,17,14,12,2,17,2,10,1,17,1,12,2,11,1,17,1,12,1,11,1,17,1,12,1,10,1,12,1,11,1,17,1,12,1,17,1,12,1,10,3,12,1,9,1,10,2,11,1,10,1,9,2,13,1,17,1,24,1,13,1,6,1,7,2,6,1,13,1,6,1,13,2,8,1,7,1,13,2,24,1,8,1,13,1,8,1,13,1,17,1,11,1,12,1,17,2,12,1,17,9,12,1,17,1,12,1,24,2,12,1,17,2,10,1,12,1,17,12,10,1,12,1,11,1,8,1,10,1,8,1,13,1,8,1,13,1,6,2,8,2,10,1,9,1,17,1,11,1,12,1,17,2,11,1,12,1,17,4,11,1,17,8,12,1,17,5,12,1,17,6,12,1,17,10,12,1,17,4,12,1,17,3,12,1,17,7,12,1,17,2,12,1,17,4,12,1,17,1,12,1,17,69,12,1,11,1,17,1,12,1,17,1,12,1,17,1,10,1,12,2,9,1,12,1,8,1,9,2,12,1,17,1,9,2,8,1,9,1,8,1,13,2,6,1,5,6,28,11,11,1,17,3,11,1,24,1,10,2,8,1,6,1,29,1,7,1,6,1,28,1,30,1,13,1,14,1,17,1,16,1,9,1,28,6,9,1,17,1,28,1,29,1,28,18,}, {30,1,28,5,29,1,6,1,29,1,28,2,30,1,28,2,30,1,28,1,6,1,7,1,6,3,30,1,6,1,30,1,24,1,15,1,10,1,14,3,10,1,13,2,8,1,6,2,13,1,24,1,10,1,17,1,9,2,12,1,11,1,9,1,8,1,10,1,13,1,6,1,29,1,6,1,17,1,11,1,8,1,13,1,30,2,29,1,8,1,9,1,11,1,24,1,29,1,6,1,28,1,6,1,13,3,9,1,12,1,17,8,9,1,30,1,13,1,6,1,28,2,13,4,6,1,29,3,30,1,13,1,30,2,29,1,30,1,6,1,28,2,30,1,29,1,28,1,6,1,7,2,13,2,9,1,17,1,12,1,8,1,24,1,30,1,6,2,7,1,29,1,8,1,17,5,10,1,9,2,8,2,9,1,13,1,8,1,9,2,10,1,12,1,14,1,16,1,10,1,28,4,6,1,28,3,29,1,30,1,13,1,28,3,9,1,5,1157,6,1,30,1,28,1,30,1,28,1,30,1,8,1,6,2,7,1,13,1,9,1,24,1,13,1,7,1,13,1,7,2,28,1,30,1,28,3,6,1,28,2,29,1,30,1,6,1,7,1,17,1,24,1,11,1,9,1,10,1,12,1,11,1,17,3,12,1,11,1,17,2,12,1,10,1,13,2,12,2,10,1,9,1,11,3,17,1,12,1,17,1,11,1,16,1,17,1,16,1,17,7,30,1,28,9,30,1,7,1,13,2,24,1,13,1,29,1,8,1,11,1,24,1,9,1,10,1,9,1,11,1,9,1,10,1,11,1,8,1,12,1,17,5,12,1,17,4,10,1,13,1,24,7,10,2,12,1,24,1,12,5,17,2,12,1,10,1,17,1,12,2,17,2,10,1,24,1,11,1,17,1,12,1,10,1,24,1,8,1,25,1,24,1,8,1,10,1,8,1,26,1,8,1,24,3,17,16,11,2,17,10,16,2,11,1,17,1,16,1,17,1,12,1,17,1,11,2,10,1,17,1,11,1,17,2,11,1,12,1,17,2,12,1,17,2,12,1,10,1,17,17,11,1,17,3,11,1,17,16,9,1,11,2,9,3,8,1,9,3,11,1,17,3,16,1,17,3,11,2,9,1,8,1,9,1,13,2,6,1,30,2,7,1,28,43,30,1,28,1,6,1,28,3,30,1,28,2,30,1,28,1,30,2,28,1,29,1,28,3,30,1,28,2,30,1,28,6,30,1,28,4,30,2,6,1,28,2,30,2,28,1,30,1,28,3,30,1,28,10,30,1,28,22,6,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,32,30,1,28,3,8,1,30,1,13,1,6,1,30,1,6,2,30,1,7,1,6,3,29,1,30,1,6,1,29,1,30,2,6,3,13,6,6,2,8,1,13,1,6,1,13,1,7,1,29,1,13,2,9,2,11,1,17,1,11,1,17,4,28,4,29,1,13,1,17,1,12,1,10,1,12,1,30,1,28,3,30,1,6,1,24,1,9,1,12,3,11,1,17,1,12,1,11,1,12,2,17,1,11,1,17,7,6,1,7,1,13,1,24,1,10,1,11,1,17,5,12,2,17,1,11,1,17,1,12,1,11,1,17,4,12,2,17,13,11,1,16,1,17,1,16,1,17,14,16,1,17,5,16,2,17,1,11,1,9,1,11,1,9,1,17,1,9,2,11,1,9,1,11,1,8,1,9,2,10,1,9,1,11,1,9,1,6,1,13,2,9,2,13,1,8,1,9,1,8,2,9,1,8,1,9,3,13,1,16,1,11,1,9,1,10,1,8,2,10,1,9,2,13,1,9,1,13,2,8,3,9,1,8,1,9,1,13,1,9,1,11,1,9,1,11,3,10,1,11,1,10,1,11,3,16,3,11,1,17,1,9,1,11,1,9,1,8,1,9,1,8,1,10,1,9,3,11,1,10,1,9,6,16,1,11,1,12,1,16,1,11,6,16,1,17,1,16,5,17,1,16,1,17,1,16,1,11,1,16,1,17,1,11,1,16,1,11,1,16,2,11,1,16,1,11,6,16,1,10,1,11,4,9,1,17,15,16,1,17,10,11,1,17,1,12,1,17,1,11,1,17,7,11,1,17,2,9,1,10,1,12,1,17,1,11,1,17,1,10,2,12,2,10,1,17,1,9,1,11,1,12,1,10,1,11,2,10,1,12,2,11,1,9,1,12,1,9,1,8,2,10,1,11,1,13,1,6,1,24,1,13,3,8,1,13,2,24,1,8,1,13,1,7,1,13,3,8,2,9,2,11,1,12,1,17,14,11,1,12,1,10,1,12,1,17,15,10,1,12,1,10,1,8,2,13,1,8,2,6,1,8,3,9,1,24,1,12,1,10,1,12,1,9,1,17,1,10,1,17,4,12,1,17,7,10,1,17,8,12,1,17,1,12,1,17,3,12,1,17,30,12,1,17,21,12,1,17,8,12,1,17,44,12,1,17,1,12,2,17,1,12,1,11,1,12,5,17,1,9,2,10,1,9,1,8,2,9,3,24,1,7,1,13,3,5,6,28,11,12,1,17,1,11,1,12,1,11,1,12,1,11,1,8,1,13,2,6,2,28,1,30,1,29,1,13,1,11,1,16,1,17,1,8,1,28,6,11,1,6,2,30,1,28,18,}, {28,4,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,29,1,28,3,29,1,28,1,29,1,6,1,29,1,7,1,6,1,7,1,9,1,10,1,17,2,15,1,17,2,10,1,13,1,6,1,7,1,6,3,10,1,17,1,9,1,17,1,12,1,17,1,10,1,11,1,12,1,13,1,6,1,29,1,7,1,11,1,16,1,13,2,28,1,29,1,6,1,8,1,16,1,10,1,13,2,30,1,13,1,29,1,6,1,29,2,9,1,17,6,16,1,17,2,9,1,7,1,13,1,6,1,28,1,30,1,29,1,13,1,6,1,29,1,6,2,7,1,6,1,30,2,13,1,6,2,28,1,6,1,28,3,30,2,13,2,8,1,13,2,24,1,9,1,11,1,13,1,28,1,29,1,6,1,29,1,30,1,28,1,24,1,17,3,8,1,15,1,24,1,9,1,8,2,9,3,8,1,9,1,8,1,12,1,11,1,14,2,13,1,30,1,29,1,28,1,30,1,29,1,28,1,30,2,6,1,30,1,13,1,30,1,28,2,13,1,5,1155,33,1,6,1,28,5,30,1,13,1,7,2,30,1,9,1,10,1,13,1,8,2,7,1,29,1,6,2,28,1,6,1,28,1,30,1,6,1,28,2,29,1,6,1,28,2,8,1,10,1,12,1,8,1,9,1,10,1,12,1,10,1,9,1,10,1,12,1,17,4,12,1,13,1,9,1,11,1,17,1,10,3,12,1,11,2,10,1,12,1,17,3,12,1,9,1,17,6,7,1,28,9,13,1,6,1,13,3,8,1,9,1,8,1,13,2,10,1,12,1,10,1,11,1,17,1,9,1,10,1,13,1,11,1,12,2,10,2,12,2,17,1,24,1,8,1,13,2,8,1,24,1,8,1,24,1,8,1,24,1,10,1,24,3,10,2,17,1,24,1,17,1,9,1,12,1,17,2,12,1,17,1,12,1,17,5,10,1,9,1,11,1,9,1,17,1,12,1,24,2,8,1,25,1,29,2,8,1,24,2,9,1,17,29,11,1,17,2,16,1,11,1,17,1,9,1,17,3,12,1,10,2,17,1,12,1,17,1,12,1,8,1,17,3,12,1,17,3,16,1,17,36,8,1,11,1,17,1,11,1,9,1,11,1,9,1,11,2,17,10,13,1,8,3,9,1,30,1,29,1,6,1,29,2,28,71,30,1,28,3,30,1,28,6,30,1,28,4,30,2,28,10,30,1,28,12,30,1,28,6,30,1,28,1,30,1,28,6,29,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,9,30,1,28,11,30,1,28,10,30,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,30,2,6,1,13,1,6,1,7,1,6,2,30,1,6,1,30,1,6,1,30,1,13,3,8,1,13,1,30,1,6,2,29,1,7,1,6,1,13,1,7,1,6,1,13,2,7,3,9,3,17,6,30,1,28,4,13,1,17,3,9,1,28,5,6,1,8,1,10,1,17,2,12,1,17,4,12,1,17,1,11,1,17,8,7,1,30,1,28,1,7,1,6,1,12,1,17,7,12,1,10,1,17,8,11,1,17,15,16,4,17,5,16,1,17,8,16,1,17,4,16,1,11,2,16,1,10,1,16,1,9,2,10,2,11,1,9,1,11,1,16,1,9,1,11,1,9,3,13,2,8,1,13,1,9,2,8,4,9,11,8,2,13,1,9,1,13,1,8,1,9,1,8,1,9,1,13,1,8,1,9,3,13,1,9,1,13,1,11,2,16,1,10,1,11,1,10,1,16,1,11,1,17,1,16,1,17,1,11,2,9,1,11,1,9,8,10,1,9,2,11,1,9,2,10,1,9,5,11,1,10,2,16,2,10,1,11,1,16,4,17,1,11,1,16,3,17,1,16,1,17,1,16,1,10,1,11,1,16,2,11,1,16,3,11,2,16,2,11,1,9,1,11,1,16,1,11,1,17,1,11,3,17,1,11,1,17,27,11,1,17,4,11,1,12,1,11,1,12,3,17,1,10,1,17,1,9,1,11,1,10,1,11,2,12,1,17,1,11,2,12,1,17,1,9,1,10,1,12,4,9,1,11,1,10,1,12,1,9,2,10,1,9,1,13,1,8,1,24,1,13,1,7,3,13,2,24,1,13,1,6,1,8,2,13,2,8,2,13,1,11,1,10,2,12,1,17,1,12,1,17,12,12,1,17,3,12,2,17,3,12,1,17,10,10,1,17,1,8,1,11,1,8,1,13,2,8,1,6,1,13,1,24,1,13,1,10,1,12,1,24,1,11,1,8,1,12,1,17,2,12,1,17,4,9,1,12,2,17,5,11,1,17,12,12,3,17,5,12,1,17,6,12,1,17,6,12,1,17,3,12,1,17,14,11,1,17,23,12,1,17,43,12,1,17,4,12,1,17,1,11,1,12,2,11,1,12,2,11,2,12,1,10,1,9,1,10,1,13,1,24,1,8,1,13,1,8,1,13,2,9,1,5,6,28,10,6,1,9,1,17,7,13,1,8,1,7,1,6,2,28,1,7,1,6,1,16,1,17,2,8,1,28,6,10,1,13,1,6,1,28,1,30,1,28,17,}, {30,1,28,1,29,1,28,5,6,1,30,1,28,3,30,2,28,1,29,1,28,1,29,1,6,2,29,1,8,1,13,1,24,1,10,1,8,1,11,1,17,1,14,1,17,1,13,1,24,1,13,1,6,1,30,2,29,1,10,1,17,1,12,1,11,1,10,1,12,1,9,2,8,2,13,1,29,1,7,1,11,1,9,1,13,1,24,1,29,1,6,2,13,1,9,1,11,1,24,1,7,1,30,2,28,1,6,1,13,2,9,1,17,9,9,1,6,1,29,1,28,2,30,1,28,1,30,1,13,1,29,1,30,1,6,1,13,3,7,1,30,1,28,1,6,1,30,1,28,1,6,1,28,1,30,1,7,1,6,1,13,1,9,1,8,3,24,1,12,1,17,1,13,1,6,1,30,1,29,1,30,1,6,1,29,1,7,1,17,3,10,1,24,1,8,2,24,1,8,2,6,1,8,1,24,1,8,1,9,2,15,1,17,2,13,1,28,5,6,1,30,4,6,1,28,3,13,1,5,1154,28,7,7,2,6,1,30,1,13,2,9,2,7,1,8,2,6,2,28,4,29,1,6,1,30,2,6,2,28,1,13,1,28,1,7,1,6,1,17,1,10,2,9,1,12,1,9,1,17,1,9,1,17,5,9,2,6,1,17,1,11,2,17,1,10,2,11,3,9,1,17,1,16,1,11,1,17,1,11,1,17,6,6,1,28,7,29,1,9,4,8,2,9,1,24,2,9,1,8,4,13,2,9,1,10,1,13,1,9,1,10,2,8,2,17,2,8,1,6,1,29,1,13,1,6,1,13,2,8,1,13,1,24,1,13,1,10,1,24,2,10,1,12,2,17,1,24,1,12,1,17,1,12,1,17,1,12,1,11,1,9,1,12,1,10,1,17,1,9,1,12,1,9,1,12,1,11,3,17,2,12,1,13,1,6,1,28,2,29,1,27,1,8,1,24,1,12,1,17,31,10,1,12,1,10,1,17,2,11,1,17,1,10,1,9,1,11,1,9,1,17,1,10,1,9,1,12,1,17,5,12,2,10,1,12,1,17,33,11,1,9,1,16,1,11,1,17,1,16,1,12,1,10,2,17,11,9,1,10,3,13,3,30,1,7,1,6,1,30,1,28,77,6,1,28,5,30,1,28,1,30,2,6,1,28,6,6,1,28,8,30,1,28,6,30,1,28,4,30,1,28,1,30,1,28,7,30,1,28,5,30,1,28,2,6,1,28,1,30,1,6,1,28,2,30,1,28,21,30,1,28,6,30,2,28,2,13,1,30,2,7,1,6,1,7,1,6,1,13,2,7,1,6,1,30,2,6,3,29,1,13,1,6,1,29,1,13,2,7,1,29,1,13,6,6,1,29,1,8,1,6,1,8,3,13,1,11,1,12,1,17,5,9,1,28,4,7,1,10,1,12,3,28,5,7,1,13,1,9,1,10,1,17,4,11,1,17,1,11,2,12,1,17,8,9,1,28,2,13,1,6,1,8,1,17,5,9,1,17,1,11,1,17,2,11,1,9,1,17,6,11,2,17,15,11,2,16,1,17,2,16,1,17,7,16,1,17,5,16,1,17,4,11,1,10,1,11,1,12,1,16,1,11,1,10,2,9,2,10,1,9,1,10,1,11,2,9,1,8,1,13,2,8,1,13,1,8,2,24,1,8,1,13,1,8,3,9,4,13,1,9,2,8,1,13,1,10,1,13,1,9,2,13,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,9,2,11,1,10,1,16,5,11,1,17,2,9,1,16,1,17,1,11,1,9,1,11,1,9,2,13,1,9,1,11,1,13,1,24,1,9,2,13,1,8,1,9,2,24,1,11,1,9,2,8,1,11,1,10,1,11,1,9,1,17,1,11,2,10,1,16,1,11,1,16,4,17,1,16,3,17,3,16,1,17,1,11,1,16,1,17,1,16,3,11,1,16,1,11,1,16,7,17,2,11,2,16,1,17,1,11,2,17,1,16,1,17,23,16,1,11,1,17,3,12,1,17,1,12,1,17,1,11,2,17,1,11,1,12,1,17,1,11,1,12,2,10,1,17,1,12,1,11,2,12,1,11,1,10,1,11,1,12,1,11,1,10,1,17,1,11,2,9,1,11,1,8,1,10,1,9,1,13,1,8,1,13,7,7,1,13,2,7,1,13,1,24,1,13,3,10,1,9,2,10,1,11,1,12,1,17,19,11,1,17,14,11,1,10,1,12,1,13,1,8,2,13,1,7,1,13,1,6,1,8,1,24,1,8,1,12,1,9,1,17,1,12,1,11,1,12,1,17,1,12,2,17,4,12,1,17,2,12,1,17,2,12,1,17,4,12,1,17,6,12,1,17,8,12,1,17,9,12,1,17,5,11,1,17,42,12,2,17,36,12,1,17,1,12,1,17,3,12,2,11,1,12,1,11,1,10,1,12,1,11,2,10,1,9,1,10,1,9,1,24,1,9,1,13,1,10,1,9,1,8,1,13,2,7,1,13,2,5,7,28,10,6,1,12,2,17,1,16,1,10,1,17,2,15,1,13,2,29,1,6,2,29,1,7,1,13,1,16,1,17,2,9,1,28,6,12,1,7,1,28,20,}, {28,6,30,1,6,1,30,2,29,1,28,6,6,1,29,2,30,2,6,1,13,2,8,1,24,1,17,2,14,1,16,1,13,2,7,2,29,1,7,1,6,1,9,1,17,1,9,1,24,1,17,2,24,1,8,1,17,1,8,1,29,2,13,1,16,1,9,1,8,1,30,1,29,2,7,2,12,1,9,2,6,1,30,2,6,1,30,2,13,1,8,1,17,2,12,1,16,1,12,1,24,1,17,3,12,1,8,1,6,1,28,1,30,2,28,2,29,1,28,1,6,1,7,1,13,1,6,1,28,1,6,1,29,1,13,1,30,1,28,1,6,1,30,1,6,1,29,1,6,2,13,1,17,1,8,2,9,4,13,1,30,1,13,1,6,1,7,1,30,2,8,1,17,2,14,1,13,2,8,2,9,1,13,1,24,1,8,1,13,1,9,1,8,2,13,1,9,1,17,1,16,1,9,1,6,1,30,2,28,1,30,1,28,2,29,1,30,2,13,1,28,3,30,1,5,1152,33,1,28,5,30,4,6,2,7,1,13,2,8,1,13,2,7,1,6,1,30,2,28,6,29,1,30,1,28,2,30,4,13,1,12,1,17,1,9,1,12,2,17,1,12,1,11,1,17,5,11,1,13,1,8,1,17,2,12,1,17,1,10,1,11,2,10,1,11,1,12,1,11,1,17,1,16,1,17,8,8,1,28,6,29,1,17,3,9,1,13,1,24,1,13,2,7,1,29,1,13,1,28,1,7,1,28,1,7,1,13,2,10,1,13,1,8,2,10,1,8,1,6,1,11,1,17,1,7,1,28,1,6,1,7,1,13,1,7,1,6,1,8,1,7,2,13,1,25,3,24,2,12,5,9,1,12,1,17,1,12,1,9,1,10,1,17,1,12,1,10,1,11,1,17,1,10,1,12,1,9,1,11,1,10,1,9,1,17,1,12,1,24,1,28,4,25,2,24,1,17,28,16,1,17,3,16,1,17,9,12,1,9,1,17,2,10,1,17,2,9,1,11,1,17,1,12,1,17,3,11,1,12,1,17,26,10,1,17,1,10,1,12,1,9,1,10,2,17,1,9,1,12,1,17,1,10,1,11,1,17,10,11,2,13,1,10,1,8,1,13,1,10,1,13,1,30,1,29,1,30,1,28,87,30,3,28,2,6,1,30,1,28,4,30,1,28,14,30,2,28,7,29,1,28,6,30,1,28,3,30,2,6,1,30,2,28,2,30,2,7,1,30,1,28,10,30,1,28,7,30,1,28,13,13,3,29,1,13,1,6,1,13,1,30,1,7,1,30,1,29,2,7,1,28,1,7,1,30,1,8,1,13,1,8,1,6,1,7,3,13,2,6,2,7,1,13,5,6,1,13,2,9,1,17,1,10,1,11,1,8,2,17,2,7,1,28,4,9,1,10,2,11,1,6,1,28,5,29,1,13,1,11,2,17,3,11,1,17,1,11,1,16,1,11,1,12,2,10,1,17,6,9,1,28,1,29,2,7,1,6,1,17,4,12,2,17,1,12,3,9,1,12,1,17,2,11,1,17,4,11,1,17,19,16,1,11,1,16,1,17,6,16,1,17,6,16,1,17,1,16,1,9,2,11,1,10,2,11,2,10,1,11,1,12,1,10,1,9,3,17,1,9,1,10,1,8,1,9,1,13,4,9,1,13,1,8,2,9,1,7,1,9,4,8,2,9,2,8,3,9,2,13,1,9,1,13,1,8,2,9,1,11,1,13,1,8,1,9,3,11,7,10,1,16,1,11,1,17,2,11,5,8,1,9,3,8,1,9,1,17,1,8,2,13,1,9,1,13,1,11,1,13,2,9,2,11,1,9,3,11,2,16,1,11,3,16,2,17,6,16,1,17,1,16,1,11,1,16,3,17,1,16,2,17,2,16,4,11,1,16,1,17,1,16,2,17,1,16,1,17,4,11,1,17,2,16,1,11,1,17,27,16,1,17,2,12,1,10,1,12,1,17,1,11,1,17,1,11,1,12,1,10,1,12,3,11,1,12,1,17,1,12,2,11,1,17,1,12,2,11,1,10,1,12,2,11,1,9,1,10,2,24,1,13,2,8,2,13,2,8,1,7,1,13,3,8,2,13,1,7,1,8,1,13,2,9,1,13,1,9,2,17,1,12,2,17,13,12,1,17,1,12,1,17,1,12,2,17,2,12,1,17,5,12,1,17,6,11,1,24,1,9,1,13,1,9,1,13,2,24,1,8,1,12,1,10,1,9,1,12,1,11,1,10,1,12,1,17,1,9,1,11,1,17,5,12,2,17,12,12,1,17,58,12,1,17,55,12,1,17,1,12,2,17,3,12,1,10,1,12,3,11,1,8,1,11,1,8,1,9,1,13,1,9,1,8,1,9,1,24,1,8,1,13,1,6,1,13,1,5,7,33,1,28,10,6,1,14,2,17,3,9,1,12,1,9,1,8,2,6,1,30,1,6,1,30,1,6,1,8,1,9,1,17,2,7,1,28,5,29,1,10,1,8,1,6,1,28,3,30,1,28,15,}, {30,1,28,4,29,1,28,1,6,1,28,14,29,1,8,3,7,1,12,1,17,2,12,1,9,1,24,1,29,2,6,1,29,1,6,1,11,1,17,2,10,2,17,1,9,3,13,1,29,1,28,1,6,1,11,1,8,2,6,1,29,1,6,3,9,2,12,1,13,1,6,1,29,1,6,2,30,1,8,1,7,1,12,1,17,2,12,1,16,1,9,1,11,1,17,2,6,1,29,2,6,1,28,4,29,1,28,2,29,1,6,1,29,1,30,2,6,2,30,1,7,1,30,2,29,1,28,1,29,2,6,1,9,2,12,1,24,1,9,1,17,1,10,1,8,1,7,1,6,2,28,1,29,1,30,1,24,1,17,2,14,1,13,1,8,3,13,1,8,3,13,1,8,3,9,1,14,1,17,1,14,1,8,1,6,1,28,4,30,1,28,1,30,1,28,2,8,1,30,1,28,3,5,1151,28,7,30,1,6,2,29,1,7,1,13,1,7,1,24,1,13,1,8,1,13,1,6,2,28,2,29,1,28,1,30,1,28,1,29,1,6,1,28,1,8,1,28,2,29,1,7,1,30,2,8,1,17,4,11,1,17,1,12,1,17,7,11,2,8,1,10,2,12,1,17,1,10,2,8,1,11,1,10,1,9,2,17,1,16,1,17,8,11,1,28,6,6,1,17,2,12,1,17,1,9,1,13,1,7,1,30,1,28,4,30,3,7,1,6,1,17,1,7,2,10,2,13,1,8,1,9,1,12,1,28,2,30,1,8,1,30,1,28,3,7,1,6,1,8,1,25,1,6,1,29,1,25,1,8,1,12,1,8,1,10,1,17,1,12,2,17,3,12,1,17,1,9,3,12,1,17,1,24,1,12,2,10,1,12,1,9,2,17,1,8,1,28,4,30,1,8,1,24,1,12,1,17,8,11,1,17,1,11,3,17,15,16,1,11,1,17,4,12,1,17,1,11,1,16,1,11,2,17,1,11,1,10,1,11,1,17,6,12,1,10,1,12,2,17,7,11,1,17,22,11,2,12,2,11,1,24,1,17,1,12,1,11,2,17,3,11,1,17,6,16,1,11,1,16,1,11,1,8,1,9,1,13,1,8,1,30,2,29,1,30,2,28,89,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,8,29,1,28,3,30,2,28,21,6,1,29,1,30,1,28,2,29,1,28,1,6,1,28,13,30,1,28,4,30,1,28,5,30,1,28,5,29,1,28,1,30,1,28,2,29,1,6,1,28,1,6,2,7,2,29,1,6,1,29,2,30,1,29,1,30,1,7,1,13,1,6,1,7,1,8,1,13,2,7,1,13,2,29,1,13,3,6,1,13,1,8,1,13,4,9,2,10,1,17,1,8,1,30,1,7,1,13,1,17,1,8,1,24,1,7,1,13,2,24,1,9,2,13,1,28,6,29,1,8,1,12,2,11,1,12,2,17,3,12,1,17,1,12,1,10,2,11,1,17,5,13,1,28,1,30,1,28,1,13,1,8,1,17,4,10,1,12,1,9,1,17,1,12,2,17,1,12,1,17,1,10,1,17,2,12,1,17,1,10,1,16,1,12,1,17,2,16,1,17,16,16,1,11,1,16,2,17,2,16,1,17,8,16,2,17,1,16,4,11,4,9,3,11,2,10,1,11,1,9,1,17,1,9,2,13,1,9,1,8,1,7,1,13,3,6,1,8,1,9,1,8,1,9,1,13,2,8,3,9,1,13,1,9,3,13,4,8,1,9,2,8,1,10,1,13,1,9,3,11,1,9,1,16,1,11,1,9,1,16,1,11,1,9,1,11,1,17,1,16,1,17,2,9,1,17,1,8,1,10,1,9,3,10,1,8,1,13,1,9,1,8,2,9,2,13,1,24,1,8,1,9,1,13,1,8,2,11,1,9,3,11,2,16,1,11,1,16,1,17,2,16,2,17,1,16,3,17,2,16,3,17,2,16,2,17,1,16,2,17,1,16,1,17,1,16,3,11,1,9,1,11,1,17,1,11,1,17,4,16,2,17,31,12,1,17,2,12,1,11,1,17,1,10,1,11,1,17,1,11,1,10,1,12,2,8,1,12,1,17,1,10,1,12,1,9,1,12,3,11,1,12,1,17,1,12,1,17,1,10,1,17,1,10,1,9,2,13,1,24,1,8,1,13,1,7,2,13,2,24,1,8,1,13,1,7,1,13,2,8,1,13,2,8,2,13,1,8,1,10,1,11,1,12,1,17,34,9,1,10,1,8,1,9,1,13,1,8,2,10,1,8,2,9,1,12,3,10,1,12,2,17,4,11,1,17,16,12,1,17,4,11,1,17,2,12,2,17,1,12,1,17,14,12,1,17,49,12,1,17,37,12,1,17,1,12,1,17,1,12,1,17,2,11,1,12,1,11,1,12,1,11,1,17,1,9,1,11,1,8,1,11,1,9,1,8,2,13,2,24,2,13,1,8,1,9,1,5,8,33,1,28,10,6,1,14,1,16,1,17,1,12,1,9,1,15,1,17,1,8,1,13,1,7,1,29,2,30,1,6,1,13,1,9,1,11,1,17,1,16,1,6,1,28,5,30,1,12,1,6,1,29,1,28,2,30,1,28,16,}, {28,1,30,1,28,2,30,1,28,2,6,1,28,1,30,1,28,8,30,2,13,1,6,2,30,1,8,1,9,1,8,1,12,1,17,1,14,1,11,1,8,1,29,1,6,2,29,1,6,2,8,1,17,1,12,1,9,2,17,2,8,1,9,1,13,1,30,1,13,1,6,1,17,1,12,1,8,1,6,1,30,2,6,2,9,1,10,2,8,1,6,1,29,1,30,1,6,1,30,1,29,1,13,1,10,1,17,2,10,1,8,1,11,1,16,1,12,1,17,1,8,2,13,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,7,1,6,1,30,1,13,1,28,1,6,1,30,1,6,1,30,3,6,2,13,1,10,1,8,1,9,1,10,1,17,3,13,1,7,1,30,1,6,1,30,1,28,1,6,1,24,1,17,1,14,2,13,1,8,1,6,1,13,5,6,1,7,1,8,1,7,1,13,1,14,1,15,1,16,1,13,1,28,3,29,1,28,5,30,1,6,1,29,1,28,3,5,1148,33,1,28,9,6,1,30,3,7,1,13,1,24,1,8,1,24,1,7,1,13,1,7,1,6,1,30,1,28,3,6,1,30,1,24,1,13,2,9,1,13,1,30,1,28,1,6,2,8,1,11,1,12,1,17,1,11,1,17,1,11,1,17,8,11,1,9,1,10,1,13,1,8,1,12,1,17,1,24,1,8,1,9,1,10,1,9,1,17,1,9,2,12,1,17,3,12,1,17,6,30,1,28,5,8,1,17,3,12,1,8,1,6,1,28,6,30,1,29,1,6,1,29,1,10,1,12,1,6,1,9,1,17,1,9,1,13,1,11,1,9,1,8,1,28,1,6,1,24,1,28,3,30,1,28,1,7,1,13,1,6,2,30,1,29,1,7,1,8,1,24,1,12,3,10,1,12,2,17,1,12,1,17,1,10,1,12,3,9,2,10,2,12,1,17,1,10,1,17,3,12,1,28,4,29,1,7,1,8,1,17,3,16,1,17,3,11,1,9,1,11,1,16,2,11,1,16,2,17,11,16,1,17,4,11,1,17,4,16,1,9,1,11,3,9,1,17,2,11,1,10,2,12,1,17,2,12,1,17,7,11,1,17,3,10,1,17,2,9,2,17,2,11,1,17,1,11,1,17,1,10,1,12,1,17,6,16,1,10,2,17,1,12,1,9,1,8,1,12,1,11,1,10,1,11,1,9,1,12,1,17,2,9,1,16,1,17,10,9,2,11,1,7,1,13,1,6,3,29,1,28,83,30,1,28,5,30,1,28,11,30,1,28,2,6,1,28,15,30,1,28,7,30,1,28,4,30,3,29,1,28,1,6,1,7,1,29,1,6,2,30,1,28,3,30,1,28,2,30,1,28,14,30,1,28,2,30,1,28,1,30,1,28,6,30,1,13,1,30,4,7,2,13,1,7,2,6,3,7,2,13,1,6,2,13,2,8,1,13,1,6,1,9,1,13,1,8,1,13,2,9,1,8,1,13,5,8,1,17,1,9,1,30,1,28,1,6,1,29,1,8,1,24,1,12,1,9,2,13,1,8,1,9,2,28,7,29,1,13,1,9,1,12,1,17,4,11,1,12,2,10,1,12,1,10,1,17,1,10,1,17,5,9,1,30,1,28,2,6,1,9,1,17,4,10,1,11,1,12,1,10,2,12,1,9,1,12,1,17,3,12,1,17,1,9,1,17,23,16,2,17,1,16,1,17,6,16,2,17,1,16,1,17,3,16,1,11,1,10,1,17,1,16,1,9,2,12,1,11,3,9,1,11,4,10,1,9,1,10,1,9,1,11,1,13,1,8,1,13,1,9,2,13,4,9,1,13,1,9,1,13,1,8,1,13,5,8,1,9,1,8,1,9,2,8,2,9,5,11,1,9,1,11,1,9,1,11,2,16,1,9,1,11,1,9,1,11,3,17,1,16,1,11,2,9,4,8,1,13,1,24,2,13,1,9,1,24,1,13,1,8,4,9,1,8,1,9,1,8,2,10,1,12,1,10,1,17,1,11,1,17,1,9,1,16,1,11,1,16,5,17,3,16,1,17,1,16,4,17,2,16,2,17,1,16,5,11,2,16,1,9,1,11,1,17,1,11,1,17,1,16,2,11,1,17,3,16,1,17,31,10,1,17,1,12,1,11,1,17,1,11,1,17,1,12,1,11,1,17,2,10,1,11,1,10,1,11,2,10,1,12,4,11,3,10,1,12,1,10,1,8,1,11,1,13,1,11,1,8,1,6,1,8,2,13,2,7,2,13,1,7,1,13,2,7,3,9,1,8,1,11,2,12,1,11,1,17,17,12,2,17,1,12,1,17,11,10,1,17,2,12,1,9,2,13,1,8,1,13,2,9,1,10,1,24,1,12,1,11,1,12,1,17,1,10,1,12,1,17,10,12,1,17,8,12,1,17,11,12,1,17,3,12,1,17,2,12,1,17,4,12,1,17,10,11,1,17,34,12,1,17,47,12,1,17,1,11,1,17,1,10,1,17,2,12,1,11,3,10,2,9,1,11,1,9,1,10,1,8,2,13,2,8,1,13,1,8,1,11,1,5,9,33,1,28,10,30,1,14,2,17,4,8,1,24,1,7,1,6,1,29,1,30,1,29,2,30,1,6,1,10,1,17,2,6,1,28,5,8,1,9,1,24,1,30,1,28,2,29,1,28,16,}, {28,4,30,1,28,1,30,1,29,1,28,4,30,1,28,5,13,1,30,1,29,1,13,1,7,1,13,1,8,2,10,1,12,1,17,1,14,1,16,1,9,1,6,1,13,1,30,1,28,1,30,1,29,1,24,1,17,1,15,1,9,1,17,1,11,1,9,1,10,1,8,1,7,1,6,1,7,1,13,1,17,1,12,1,13,1,30,1,6,2,7,1,29,1,8,1,17,1,9,2,7,1,29,1,30,1,6,2,7,1,8,1,9,1,17,1,16,1,24,1,9,2,12,2,9,1,6,1,28,1,29,2,30,1,28,4,29,1,28,2,6,2,29,1,6,2,29,1,6,1,29,1,6,1,8,1,7,1,29,1,30,1,7,1,13,1,9,1,10,3,17,1,12,1,17,1,12,1,8,1,13,2,29,2,30,1,13,1,17,1,15,2,8,1,7,1,13,2,6,2,7,1,6,5,8,1,14,1,17,1,15,1,13,1,28,8,30,1,6,1,30,2,28,3,5,1148,28,9,30,1,28,2,30,1,7,1,6,1,8,1,9,1,13,3,6,1,7,1,30,3,28,2,13,1,6,1,13,1,7,1,8,1,9,2,8,1,29,1,30,1,29,1,8,1,9,1,10,1,9,1,17,2,12,1,17,8,9,4,6,1,8,1,10,1,9,1,24,1,9,3,10,1,12,1,17,2,12,1,17,9,9,1,28,5,17,5,29,1,30,1,28,5,30,1,7,2,9,1,17,7,10,1,17,2,12,1,24,1,9,1,28,4,30,2,28,1,6,1,27,2,28,1,30,1,26,1,6,1,8,1,10,1,17,2,12,3,17,2,10,2,9,1,12,1,24,1,10,1,12,1,9,1,10,2,12,1,11,1,17,4,7,1,28,3,6,1,24,1,17,6,9,1,13,1,9,1,16,1,10,1,9,1,10,1,9,1,16,1,11,1,17,9,16,1,17,1,11,1,17,3,16,1,17,2,16,1,11,1,12,1,16,2,17,6,11,1,17,2,12,1,11,1,17,3,12,1,11,1,10,1,16,1,17,2,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,2,12,1,11,1,17,2,16,1,17,7,12,3,9,1,12,2,9,3,12,1,9,2,11,1,9,1,17,2,9,1,16,2,17,9,10,1,9,2,8,1,13,1,7,1,28,1,30,1,28,84,6,1,28,7,30,1,28,4,30,1,28,2,30,1,28,4,29,1,30,1,28,2,30,3,28,23,30,2,29,1,6,3,30,2,13,1,28,2,6,1,28,1,30,1,28,1,30,1,28,13,29,1,30,1,28,5,30,1,28,5,6,1,28,2,6,2,7,2,6,2,30,1,28,1,6,2,7,2,30,2,29,1,13,1,29,1,7,2,13,1,30,1,13,2,7,1,13,3,10,1,13,5,9,2,17,1,9,1,28,2,30,1,6,2,8,1,13,2,24,1,6,1,13,1,6,1,28,8,29,1,8,1,12,2,11,1,17,1,9,1,11,1,17,1,12,1,17,1,12,1,11,1,9,1,8,1,24,1,8,1,13,1,9,1,13,1,28,2,30,1,28,1,30,1,24,1,8,1,17,2,12,1,17,1,12,1,24,1,9,1,24,1,10,1,24,1,8,1,24,1,12,1,17,2,12,1,17,1,12,1,17,2,10,1,17,9,16,1,17,11,16,2,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,1,11,1,16,2,11,1,16,1,11,1,10,1,16,1,11,4,10,1,9,1,11,1,9,1,11,1,9,1,13,1,11,1,8,1,9,1,10,1,9,2,8,1,13,1,9,1,13,2,9,1,8,1,13,3,7,1,9,2,8,2,9,2,13,1,8,1,9,2,10,1,11,1,8,1,11,1,10,1,9,1,11,1,9,2,11,2,9,1,11,1,9,1,10,1,11,1,9,1,11,1,12,1,9,1,17,1,16,1,10,2,9,1,11,1,13,1,8,1,9,2,8,1,13,1,24,1,9,1,24,1,8,1,13,1,7,1,9,1,8,2,9,1,8,1,13,1,9,1,10,1,9,1,16,1,17,1,11,1,10,1,17,2,16,4,17,1,16,1,17,1,16,1,17,1,16,7,17,2,16,1,11,1,17,1,16,1,17,1,16,1,10,1,11,1,9,1,13,1,9,2,11,5,17,1,11,1,17,1,11,1,17,21,16,1,17,2,16,1,17,1,11,1,17,5,11,1,17,3,11,1,17,1,11,1,17,3,12,1,17,1,12,1,9,1,11,3,12,1,10,1,11,1,12,2,10,1,11,1,10,1,8,1,9,1,10,1,7,1,8,2,6,1,8,1,13,2,8,1,9,1,13,2,7,1,13,1,7,1,13,2,9,1,8,1,9,2,17,16,12,1,17,20,12,1,9,2,24,1,7,1,13,1,24,1,8,2,9,1,10,1,17,2,10,1,12,2,10,1,17,2,12,1,17,2,11,1,12,1,17,26,11,1,12,2,17,1,12,1,17,2,12,1,17,4,12,1,17,51,11,1,17,1,12,1,17,2,10,1,17,34,12,1,17,3,12,5,10,1,11,1,9,2,10,1,9,1,8,3,13,1,7,1,8,1,13,2,9,1,5,10,13,1,28,7,29,1,28,2,7,1,14,1,17,2,11,1,17,2,13,1,7,1,13,1,29,1,28,1,30,1,29,1,30,1,7,1,13,1,12,1,9,1,17,1,6,1,28,5,29,1,12,1,29,1,30,1,6,1,30,1,28,1,30,1,28,15,}, {28,7,30,2,28,8,30,1,6,1,30,1,29,1,6,2,13,1,12,1,9,2,11,1,17,1,14,1,16,1,8,1,28,1,6,1,7,1,13,1,30,1,6,1,10,1,12,1,24,1,9,2,14,1,10,1,9,1,8,2,6,1,30,1,6,1,17,1,16,1,8,1,29,1,6,1,28,1,29,1,6,1,24,1,11,1,12,1,11,1,6,1,13,1,6,2,30,1,6,2,15,1,17,1,12,1,10,2,9,2,12,1,10,1,8,1,6,1,30,1,28,1,29,1,30,3,28,1,30,1,28,2,30,1,6,1,30,1,7,1,29,1,7,1,6,1,30,1,7,2,6,1,29,2,6,1,7,2,8,2,10,1,17,3,9,1,29,1,7,1,6,1,13,1,6,1,13,1,24,1,17,2,14,1,11,1,6,1,24,1,8,1,13,1,6,1,29,1,13,2,30,1,7,1,13,1,15,2,11,1,14,1,8,1,28,1,30,1,28,7,6,3,28,3,5,1146,33,1,28,6,6,1,28,2,30,1,6,1,7,1,6,1,30,1,7,1,13,1,6,1,24,1,13,1,6,1,13,2,29,1,30,1,6,1,29,1,28,1,6,1,8,2,10,1,13,2,30,1,6,1,13,3,30,1,8,1,12,4,17,10,11,1,17,2,9,1,6,1,13,1,8,1,12,1,9,1,12,1,10,2,9,1,12,1,17,5,16,1,17,7,28,4,11,1,17,5,6,1,28,4,30,1,13,1,8,1,17,13,12,1,8,1,13,1,28,6,6,2,29,2,28,1,27,1,29,1,8,1,12,1,24,1,12,1,10,1,12,2,17,1,12,2,17,1,10,1,12,1,9,1,10,2,12,1,9,1,11,1,9,2,11,1,17,5,9,1,28,1,24,1,10,1,12,1,17,2,16,1,11,2,9,1,7,1,13,1,9,1,13,1,11,2,16,1,9,3,16,1,11,1,17,1,16,1,17,3,16,1,17,2,16,1,17,2,16,1,11,1,16,1,17,4,16,2,17,5,12,1,17,5,11,1,17,1,10,1,12,1,17,7,12,1,17,1,9,1,12,1,17,1,11,1,10,1,12,1,17,1,9,1,17,2,16,2,11,1,17,5,16,1,9,1,11,3,8,2,9,1,10,1,24,1,10,2,11,1,17,1,12,1,17,1,11,1,16,1,17,9,16,2,11,2,13,2,6,1,8,1,29,1,28,96,6,1,28,1,6,1,28,1,6,1,28,4,30,1,28,1,29,1,13,1,6,1,28,20,30,1,28,2,30,2,28,1,30,2,6,1,7,1,30,1,28,1,6,1,28,1,29,1,7,2,30,1,28,2,29,1,28,14,30,1,28,8,30,1,6,1,28,2,30,1,6,1,28,1,6,1,30,3,6,1,29,1,30,1,6,1,30,1,29,1,6,2,28,1,7,1,6,1,30,1,13,2,7,1,13,1,9,1,13,1,6,1,13,2,7,1,9,1,13,1,9,1,13,2,9,3,10,1,17,1,9,1,28,3,29,1,6,1,24,1,13,1,8,3,30,1,28,10,9,1,10,1,17,1,9,1,17,1,10,1,17,2,10,1,17,1,12,1,10,1,9,1,13,3,24,1,13,2,12,1,8,2,9,1,15,1,12,1,17,3,12,2,8,1,6,1,7,1,13,1,8,1,7,1,8,1,12,1,11,1,17,1,12,1,17,4,11,1,17,10,16,1,17,9,16,1,17,4,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,4,16,1,17,1,16,1,17,1,16,1,10,1,11,2,16,1,9,1,11,1,16,2,11,4,16,1,9,4,13,1,8,1,9,2,10,1,8,1,13,2,8,1,9,1,13,1,8,1,13,1,8,2,9,3,8,1,9,2,8,1,9,2,11,1,17,1,9,1,11,1,9,1,11,2,9,1,8,1,9,1,11,1,9,4,11,1,9,2,11,2,9,3,11,1,8,1,9,1,8,1,24,1,8,1,13,1,8,3,24,1,9,1,13,3,8,3,6,1,10,1,13,1,9,1,8,1,17,1,11,1,9,2,11,1,16,2,17,2,16,1,17,1,16,2,17,1,16,1,17,5,16,1,11,1,16,3,11,2,16,1,11,2,16,1,11,1,9,3,11,2,9,2,16,1,9,1,11,3,16,2,17,12,12,1,17,9,16,1,17,4,16,1,17,3,11,1,17,2,11,1,12,1,17,1,11,1,12,2,17,2,9,1,17,1,10,1,12,2,9,1,12,1,11,1,12,1,11,3,9,1,11,1,10,1,9,2,8,1,29,1,8,1,6,1,7,2,9,1,8,1,13,1,9,1,13,1,8,1,13,3,6,1,9,1,8,1,17,1,11,2,17,3,12,1,17,2,12,1,17,10,12,1,17,4,10,1,17,12,12,2,8,1,10,1,13,1,9,2,13,1,9,1,8,1,24,1,12,1,17,33,12,1,17,1,12,2,17,1,12,1,11,2,17,1,12,1,17,1,12,2,17,1,12,1,17,2,11,1,9,2,17,3,12,1,17,1,12,1,17,4,12,1,17,35,12,1,17,5,10,1,12,1,17,2,12,1,17,33,12,1,17,2,11,1,10,1,12,1,9,1,17,1,10,1,11,1,12,1,9,1,12,1,9,2,8,1,9,2,8,1,13,1,9,1,11,1,5,12,13,1,28,7,30,1,28,2,13,1,14,2,17,3,10,1,8,1,9,1,6,1,29,1,28,1,30,1,6,1,29,1,13,1,24,1,9,1,12,1,17,1,30,1,28,5,8,1,15,1,24,1,7,1,29,1,28,18,}, {28,2,30,1,28,1,29,1,30,2,28,1,30,1,28,8,29,2,6,1,13,1,6,1,7,1,13,1,8,1,17,1,12,1,9,1,16,2,12,1,6,1,13,1,7,1,30,1,6,1,7,1,13,1,10,1,14,1,17,1,13,1,24,1,9,1,17,2,12,1,24,1,29,1,6,1,13,1,11,1,9,1,8,1,13,1,7,1,28,2,13,1,24,1,12,2,9,1,8,1,13,1,29,1,30,1,28,1,13,1,7,1,8,1,14,1,9,1,13,1,11,1,24,1,9,1,16,2,8,1,13,1,30,1,6,1,28,1,29,1,30,1,28,1,30,3,28,1,6,1,28,1,6,1,30,2,6,3,7,1,13,1,7,1,13,1,30,1,28,1,29,1,6,1,13,1,8,1,9,2,17,1,14,1,17,1,8,1,13,1,7,1,6,1,7,1,30,1,24,1,17,1,16,1,14,1,12,1,8,1,13,2,7,1,8,1,6,1,13,2,6,1,8,2,9,1,17,1,14,2,8,1,28,1,29,1,28,2,30,2,28,2,7,1,6,1,13,1,7,1,28,3,13,1,5,1144,33,1,28,10,30,2,13,1,28,1,13,2,9,1,13,1,8,1,13,1,6,3,30,1,7,1,30,1,28,1,13,2,8,1,13,1,8,1,29,1,7,1,29,1,13,1,6,1,8,2,6,1,13,1,11,1,17,16,10,1,8,1,24,1,9,3,11,2,24,1,17,5,16,1,17,2,16,1,17,1,16,1,17,4,28,4,17,6,6,1,28,3,29,1,8,1,17,3,12,1,17,1,9,1,8,1,17,4,11,1,17,4,30,1,28,7,29,1,6,1,28,1,29,1,28,1,29,1,27,1,24,1,25,1,12,2,17,1,10,2,17,2,12,2,9,1,12,1,11,1,8,1,11,1,9,1,8,1,9,1,10,2,17,1,12,1,17,9,9,2,13,4,29,1,6,1,7,1,6,1,11,1,13,1,9,5,13,1,10,1,16,3,17,1,16,2,17,1,9,1,11,1,16,1,17,1,9,1,16,1,11,1,16,1,17,11,11,1,17,1,12,1,17,2,10,1,17,1,11,1,10,1,11,1,17,6,12,2,17,1,12,1,17,7,11,1,17,1,16,1,17,2,16,1,10,1,16,2,17,1,10,1,12,1,17,1,11,1,12,1,24,1,8,1,9,1,12,1,9,1,8,1,11,1,17,1,16,2,17,3,11,1,17,8,9,1,13,1,30,1,29,1,30,1,13,1,30,1,28,91,29,1,28,2,6,1,28,4,30,2,28,5,30,1,28,2,29,1,30,1,6,1,28,1,30,2,28,20,29,1,28,1,30,3,13,2,29,1,30,1,28,1,6,1,7,1,30,2,6,1,30,1,28,19,30,1,28,6,30,1,28,1,30,1,6,1,13,1,29,2,28,1,30,1,29,1,28,1,6,1,29,1,28,1,7,1,6,1,30,1,28,1,6,1,28,1,29,1,13,2,8,1,13,1,8,1,13,1,6,1,13,1,7,1,13,1,8,1,13,1,7,1,13,1,6,1,10,1,9,1,12,2,13,1,30,1,28,2,30,1,6,1,13,1,7,1,29,1,28,12,13,1,8,1,11,1,17,2,10,1,12,1,11,1,12,1,10,2,17,1,10,1,13,1,7,1,13,1,28,1,6,1,8,1,7,1,24,2,8,2,10,1,24,1,8,2,13,1,6,2,29,1,7,2,13,1,24,1,8,1,24,2,9,1,17,4,12,1,10,1,12,1,17,1,9,1,17,5,16,1,17,13,16,1,17,1,16,2,17,1,16,2,17,15,16,1,11,1,16,2,11,1,16,2,11,1,10,1,9,1,16,1,11,1,16,1,9,1,11,2,9,1,11,1,10,1,11,1,9,1,8,1,9,3,8,3,11,1,8,1,13,1,9,1,8,1,9,6,11,1,10,1,11,1,9,1,10,1,11,1,9,1,8,1,9,2,8,1,10,1,9,1,10,1,9,1,10,1,9,1,10,1,9,2,11,3,9,1,11,1,8,1,9,1,13,1,9,1,13,1,8,1,9,3,13,1,8,1,13,1,8,2,10,1,8,1,13,1,8,1,24,1,8,2,13,1,10,1,11,1,16,1,11,3,16,3,11,1,17,2,16,1,17,6,16,1,17,1,11,1,16,1,11,1,9,2,11,1,8,1,9,2,11,1,9,3,10,1,11,2,16,1,11,2,9,1,16,1,11,3,9,1,11,4,17,2,16,1,17,1,16,1,17,20,12,1,17,3,11,1,17,1,12,1,11,1,12,1,17,1,11,1,17,1,11,1,10,1,17,2,12,1,17,1,9,1,12,1,17,1,12,1,11,1,12,1,11,2,12,1,9,3,10,1,9,1,8,1,6,1,7,2,13,2,24,1,8,2,13,5,9,1,8,1,9,1,10,1,12,1,17,1,12,1,17,20,11,1,12,2,17,7,12,1,17,2,12,1,9,1,10,1,9,2,24,1,13,1,8,2,13,2,9,1,12,1,17,2,12,1,17,2,12,1,17,28,12,1,17,1,9,1,12,3,17,1,12,2,17,1,10,1,17,1,10,1,17,1,10,1,12,1,10,1,11,1,10,2,12,1,17,2,12,2,17,2,12,2,17,9,12,1,17,29,12,1,17,8,12,1,17,1,8,1,17,28,12,1,17,4,11,1,17,1,12,2,11,1,12,1,17,1,10,1,12,1,11,2,9,3,13,2,5,15,13,1,28,10,6,1,14,1,17,2,10,1,17,1,10,1,8,3,28,3,29,1,30,1,6,1,8,1,17,2,9,1,29,1,28,5,10,1,15,1,30,2,28,3,30,1,28,15,}, {28,2,30,1,28,1,7,1,28,1,29,1,30,1,28,10,7,2,8,1,7,1,13,2,9,2,17,1,9,1,16,3,13,2,29,1,7,1,6,3,13,1,17,1,14,1,9,1,15,1,12,1,15,2,17,1,9,1,13,1,6,1,30,1,9,1,11,1,7,2,30,3,13,1,12,1,9,2,8,2,13,1,9,1,8,1,13,1,6,1,8,1,9,1,14,1,15,1,8,3,16,1,9,1,10,1,8,1,6,1,28,3,30,1,29,1,28,5,6,1,30,1,6,4,7,1,8,1,29,1,6,1,30,2,6,1,29,1,30,1,7,1,6,1,7,1,8,1,9,1,15,1,17,1,13,1,30,1,6,1,13,1,6,3,13,1,17,2,11,1,12,1,24,1,6,3,29,1,6,1,13,1,28,1,6,2,13,1,9,1,17,3,9,1,30,1,28,5,30,2,6,1,29,1,13,2,28,3,9,1,5,1143,33,1,28,10,29,1,30,1,28,1,30,1,6,1,8,1,13,2,8,1,24,1,6,1,13,1,8,1,30,1,28,1,7,1,30,1,29,1,13,1,9,1,13,1,8,1,13,2,9,1,7,1,13,2,29,1,9,2,6,1,17,1,10,1,17,1,10,1,17,13,11,1,10,1,8,1,12,2,9,1,8,1,10,1,9,1,17,1,16,1,10,1,17,1,12,1,16,1,17,9,28,4,9,1,8,1,9,1,17,3,28,3,6,1,11,1,17,2,6,1,29,1,11,1,17,6,11,1,17,2,10,1,12,1,7,1,28,6,30,1,28,2,29,1,28,3,27,2,25,1,24,1,12,2,10,1,17,1,10,1,12,3,10,1,12,2,9,5,10,1,8,1,9,1,11,1,9,1,11,1,17,3,16,1,17,2,13,1,11,1,13,4,29,1,7,1,13,1,30,1,13,3,6,1,13,3,6,1,13,3,9,1,13,1,11,1,9,1,16,3,11,2,16,1,11,2,9,1,11,1,16,1,9,1,16,2,17,1,16,1,17,6,11,1,17,1,11,1,17,3,12,1,17,1,12,1,10,1,17,9,10,1,17,1,11,2,17,1,16,1,17,5,16,1,17,5,16,1,10,1,11,1,9,1,12,1,10,1,9,3,8,2,16,1,17,13,11,1,9,2,8,1,13,1,6,1,30,1,6,2,28,93,30,1,28,1,30,1,28,1,30,1,6,1,28,5,30,1,28,1,30,1,28,3,6,1,28,1,30,1,6,1,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,10,29,1,28,2,30,1,28,2,29,1,30,1,6,1,7,1,30,1,28,1,7,1,29,1,6,1,30,1,29,1,6,2,28,2,30,1,28,8,6,1,30,1,28,1,30,1,28,9,29,1,28,1,6,1,28,3,29,1,28,2,30,1,28,1,6,1,30,2,6,1,28,1,30,2,6,1,29,1,6,3,30,1,6,1,9,1,13,1,7,1,13,2,7,1,13,4,9,1,13,1,8,1,11,2,9,1,11,1,17,1,7,1,29,1,28,18,29,1,6,1,9,1,12,1,11,1,17,2,11,2,17,1,12,3,10,1,24,2,28,1,6,1,30,2,27,1,25,1,8,1,25,1,8,1,26,1,8,1,25,1,7,3,30,2,6,1,8,1,13,2,8,1,9,1,12,1,9,2,17,1,9,1,11,1,17,2,9,1,17,5,11,1,17,2,16,1,17,13,16,1,17,3,16,2,17,1,11,1,8,1,9,1,8,1,16,1,17,2,16,1,17,7,11,1,10,1,11,1,16,2,11,1,10,1,16,1,11,2,9,1,17,1,11,1,16,1,9,1,10,1,9,1,10,1,8,1,9,5,13,3,9,1,8,2,9,2,8,1,16,1,9,1,16,1,11,3,10,1,16,1,17,1,16,1,9,2,12,1,10,1,8,1,9,5,8,1,10,1,8,2,10,2,9,1,8,3,10,1,8,2,7,1,13,2,24,1,13,1,8,3,13,1,24,1,8,1,13,1,8,4,24,1,13,1,9,4,12,1,17,1,11,1,17,1,11,1,16,1,17,3,16,1,17,1,16,1,17,3,11,1,16,2,9,1,13,1,8,1,9,1,8,2,9,4,10,1,9,1,12,1,9,2,12,1,8,1,11,3,10,1,9,1,11,2,10,2,11,1,10,1,11,1,9,1,17,1,9,1,16,1,11,1,17,6,16,1,17,16,12,1,17,4,12,1,11,1,17,3,12,1,17,1,10,1,17,1,11,1,17,2,10,2,11,1,17,1,12,1,10,1,17,1,10,1,9,1,8,1,9,1,8,1,13,2,8,1,13,1,24,1,8,1,13,2,8,1,13,1,8,1,13,1,9,1,8,1,13,1,11,1,24,1,12,2,17,19,12,1,17,1,12,1,17,12,12,2,17,1,9,1,13,1,10,1,13,1,8,2,13,1,9,1,10,1,24,1,17,2,12,1,17,7,12,1,17,28,10,1,17,1,10,1,11,1,17,1,24,1,12,3,10,1,8,1,17,1,11,1,24,1,10,1,9,1,11,4,17,1,12,1,17,1,12,1,17,1,12,1,17,2,11,1,17,7,12,1,17,27,12,1,17,39,12,1,17,2,12,2,17,2,11,1,12,1,11,1,17,1,11,1,10,2,9,2,8,1,9,2,5,17,13,1,28,10,8,1,14,1,17,2,16,1,17,1,10,2,24,2,29,1,30,1,7,1,28,1,29,1,6,1,13,1,17,2,9,1,7,1,28,4,30,1,9,1,17,1,8,1,6,1,30,1,28,18,}, {30,1,28,1,6,1,30,1,28,9,30,1,28,3,30,1,6,1,8,1,6,2,13,1,6,1,24,1,9,1,17,1,10,1,12,1,17,1,11,1,24,1,13,1,6,1,13,1,6,1,29,1,6,1,9,1,12,1,9,1,24,1,8,1,9,1,12,1,17,1,15,1,11,1,8,1,6,1,7,1,9,1,12,1,6,1,7,1,6,1,7,1,28,1,7,1,12,2,11,1,8,3,24,1,8,1,13,1,8,2,12,1,14,1,9,1,12,1,9,4,12,2,6,1,29,1,28,2,30,1,29,1,6,1,28,2,29,1,28,2,29,1,28,1,29,1,6,1,13,1,6,2,30,1,29,2,30,1,6,1,30,2,6,1,13,2,8,1,9,1,17,1,15,2,13,3,6,1,7,2,9,1,16,1,17,3,12,1,13,2,8,1,13,6,9,1,10,1,9,1,11,1,14,1,9,1,28,5,30,1,28,1,29,1,6,1,29,1,28,1,7,1,30,1,28,2,6,1,5,1143,28,9,30,2,28,2,6,2,13,6,6,1,13,1,6,1,28,1,30,1,13,1,29,1,6,1,8,1,13,1,8,2,13,2,11,1,8,1,10,1,12,1,17,2,12,1,11,1,17,1,12,1,11,1,10,1,17,2,12,1,17,10,12,2,17,1,12,1,24,1,9,1,24,1,12,2,17,1,16,1,17,2,16,1,11,2,17,8,28,4,8,1,6,1,9,1,17,2,9,1,28,2,8,1,17,2,8,1,30,1,9,1,17,3,11,1,13,1,17,1,6,2,11,1,17,1,6,1,7,1,8,1,13,1,28,8,29,1,28,4,30,1,27,1,25,1,24,1,12,1,10,1,24,1,17,1,12,1,17,1,10,1,12,1,10,1,9,1,11,1,9,1,10,1,8,1,9,1,13,1,9,1,8,1,9,1,8,2,9,1,11,1,8,1,16,2,9,1,11,1,16,1,13,1,28,1,13,2,30,3,13,1,6,3,13,1,6,1,30,1,13,2,8,1,13,3,9,1,13,1,8,1,9,3,16,3,10,1,16,1,9,4,16,3,17,3,16,1,17,1,16,1,17,6,16,1,11,1,17,1,9,1,17,1,9,1,11,1,9,1,17,2,11,1,17,1,16,1,17,2,16,1,12,1,11,2,17,1,11,1,17,1,16,2,17,2,16,1,17,4,16,1,17,1,16,1,12,1,9,1,11,1,12,1,9,1,10,2,8,1,9,1,10,1,17,7,16,1,17,4,16,1,11,1,9,1,13,1,9,1,29,1,30,1,6,1,30,2,28,91,30,1,28,3,30,2,28,1,29,1,28,8,30,1,28,2,6,1,28,1,29,1,30,1,6,1,28,8,30,1,28,5,30,2,28,5,30,1,6,1,28,1,6,2,7,1,28,1,6,1,30,2,7,1,30,1,28,1,6,1,28,8,30,1,28,13,30,1,28,2,30,1,6,1,28,6,6,1,28,1,30,1,13,1,28,1,29,1,30,3,28,1,30,2,28,2,30,1,6,1,13,1,6,1,13,2,8,1,13,4,8,1,7,1,9,3,13,1,17,1,11,1,10,1,17,1,13,1,28,20,8,1,9,1,17,1,12,1,9,1,12,2,10,2,12,1,24,1,10,2,7,1,8,1,6,1,28,2,30,1,28,2,30,1,29,1,27,1,25,1,26,1,27,1,30,1,29,1,30,1,28,1,27,1,29,1,6,1,24,1,13,1,24,1,12,1,9,1,10,1,17,4,12,1,17,1,10,1,17,6,11,1,17,1,16,1,17,10,16,1,17,5,11,1,17,2,9,1,30,3,6,1,8,1,10,1,9,1,10,1,17,5,16,3,17,2,11,5,17,1,10,1,9,1,16,3,9,1,11,1,8,1,11,1,13,1,10,1,9,4,8,1,10,1,9,1,10,1,9,1,11,1,9,2,11,1,9,1,11,3,16,1,17,1,12,1,17,1,12,2,9,2,10,1,9,1,11,1,9,1,8,4,7,1,9,1,8,1,9,2,24,1,8,4,13,1,8,1,13,1,8,2,13,1,8,2,9,1,13,1,9,1,13,1,24,1,8,3,10,1,8,2,9,1,13,1,8,1,9,1,11,2,10,1,17,1,11,1,16,1,17,3,16,2,17,2,16,1,17,1,16,1,11,2,9,1,8,1,13,1,9,1,13,1,9,2,8,1,9,2,24,1,8,1,13,1,9,1,10,2,11,4,9,1,17,1,11,5,10,1,11,2,9,1,10,1,9,1,11,1,9,1,10,1,11,2,17,2,11,2,17,1,16,1,17,7,16,1,17,8,12,1,11,1,17,3,11,1,12,1,11,1,17,2,10,2,11,2,17,1,11,1,12,1,17,1,12,2,11,2,17,1,11,1,10,3,9,1,13,1,8,1,7,1,6,1,8,2,13,1,8,1,13,3,11,1,8,1,13,1,8,1,10,1,11,1,17,1,12,2,17,33,12,1,17,1,9,1,10,1,13,1,9,1,8,1,13,2,8,1,9,1,13,1,12,1,17,1,12,1,17,3,12,1,17,22,11,1,17,1,12,1,17,4,12,1,17,2,9,1,12,1,10,1,12,2,17,1,9,1,12,2,11,1,17,1,10,1,9,1,10,1,24,1,17,1,24,1,11,1,9,1,17,1,12,1,11,2,10,1,17,4,12,1,17,17,12,2,17,6,12,1,17,2,12,1,17,13,10,1,17,30,12,1,17,4,12,1,17,2,10,1,17,1,11,1,17,1,12,1,11,1,17,2,11,1,13,2,16,1,5,19,28,11,8,1,17,3,12,2,10,1,7,2,6,1,30,5,6,1,12,1,16,1,17,1,12,1,28,6,11,1,17,1,6,1,28,3,29,1,30,1,28,15,}, {28,4,29,1,30,1,28,12,30,1,13,1,7,1,6,2,7,1,10,1,17,2,16,1,17,2,10,1,13,1,8,1,13,2,6,1,30,1,29,1,8,1,12,1,15,1,9,1,13,1,24,1,10,1,12,1,15,1,11,1,9,1,6,2,11,1,15,1,24,1,13,1,30,2,13,1,6,1,13,1,9,2,6,2,29,1,6,1,24,1,9,1,8,1,9,1,24,1,12,1,14,1,9,4,11,1,9,1,8,1,29,2,28,1,29,1,28,1,30,2,28,2,30,1,28,2,30,1,6,2,7,1,29,1,7,1,6,1,29,1,6,1,29,2,30,1,29,1,30,2,13,1,9,2,8,1,14,2,24,1,6,1,30,1,13,2,7,1,13,2,17,2,14,1,17,1,9,1,15,1,8,1,29,1,13,1,7,1,13,1,7,1,6,1,7,1,13,1,10,1,9,2,10,2,29,1,28,4,30,1,6,1,29,2,13,1,6,1,13,1,28,4,5,1142,6,1,28,9,30,1,28,1,30,1,6,1,13,1,29,1,6,1,8,2,13,1,8,1,13,1,6,1,30,2,28,2,30,1,28,1,13,1,10,1,13,1,9,1,8,1,13,1,10,1,13,1,6,1,10,1,17,1,12,1,17,1,9,1,8,1,17,14,12,1,10,1,17,4,10,1,9,2,10,1,12,1,10,1,12,1,9,1,10,1,11,1,17,1,12,1,17,4,16,1,17,4,28,5,7,1,9,1,17,2,13,1,28,1,8,1,17,2,8,1,6,1,17,2,16,1,8,1,13,1,6,1,10,2,28,2,8,1,12,1,28,2,6,1,13,1,28,7,30,1,6,2,28,3,30,1,29,1,25,1,24,1,10,1,24,1,17,1,10,1,17,1,11,1,10,1,17,1,9,2,12,2,9,1,11,1,8,2,13,1,9,1,13,2,8,2,11,1,9,1,11,1,9,1,11,1,9,1,13,1,6,3,28,1,30,1,6,1,13,1,30,1,13,1,6,1,13,3,30,1,13,1,30,1,6,1,13,6,11,1,9,2,11,1,9,1,17,1,9,3,13,1,9,1,13,1,9,1,10,1,16,2,17,2,16,1,17,6,16,1,17,1,11,1,16,1,17,5,11,1,16,1,17,2,11,2,17,1,11,3,17,1,16,1,11,1,17,1,16,1,17,1,11,1,17,1,16,1,17,3,16,2,17,2,11,1,17,4,9,1,10,1,8,1,11,1,17,9,16,1,17,4,11,1,17,1,13,2,9,1,28,1,30,1,6,1,28,24,8,1,28,71,6,1,28,8,30,1,28,5,30,1,28,3,30,2,28,4,29,1,28,1,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,1,6,2,30,1,28,1,30,1,6,1,28,1,30,1,6,1,29,1,6,1,13,1,7,2,6,2,30,1,28,1,6,1,30,1,28,1,30,1,28,8,30,1,28,5,30,1,28,1,30,2,29,1,30,1,28,2,30,1,6,2,30,4,28,1,29,1,28,1,6,1,30,2,6,2,28,1,6,1,28,2,6,2,7,1,28,1,13,2,8,1,7,1,13,2,7,1,8,2,9,2,7,1,13,1,11,1,17,1,11,1,12,1,13,1,28,19,30,1,9,1,12,2,17,3,11,1,12,4,17,2,24,1,8,1,26,1,28,1,29,1,28,6,27,1,28,6,29,1,30,1,29,1,7,1,8,1,13,1,9,1,24,1,10,1,12,1,17,1,12,1,9,1,17,1,12,2,17,3,11,1,17,3,11,1,17,1,12,1,16,1,11,1,17,11,16,2,17,2,8,1,29,1,30,1,13,1,6,1,30,1,13,2,9,3,11,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,1,11,1,17,1,10,1,16,1,9,1,16,1,11,2,9,1,11,1,16,1,11,1,16,1,11,1,10,1,11,1,10,1,11,1,9,1,10,3,9,1,16,1,9,4,11,3,16,1,11,2,17,1,16,1,12,1,11,1,9,3,10,1,8,2,9,1,8,1,9,2,8,2,13,2,24,1,13,1,8,2,9,1,13,1,8,1,9,1,13,2,7,1,8,1,13,1,24,1,8,1,6,1,9,1,24,1,8,1,24,1,8,3,9,1,8,1,9,1,8,1,24,1,10,1,9,1,10,1,9,1,10,1,9,1,16,5,17,2,11,1,16,3,9,1,13,4,9,1,24,1,8,1,9,1,8,1,9,1,24,1,9,1,24,1,9,3,10,1,9,2,11,1,16,1,17,1,9,1,10,1,11,3,9,1,11,1,13,1,11,3,9,1,8,1,10,2,9,2,11,1,16,2,17,1,16,2,11,1,16,1,17,4,16,1,17,3,11,1,17,3,11,1,17,9,12,1,17,1,11,1,12,1,11,2,12,1,11,3,12,1,11,1,17,1,12,1,17,1,12,1,11,1,9,1,10,1,9,1,13,1,9,1,13,3,8,1,13,1,8,1,6,1,7,1,8,1,29,1,13,1,8,1,24,1,8,1,9,1,17,1,11,1,17,1,12,1,17,22,12,1,17,6,12,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,9,1,8,1,9,1,13,3,24,1,9,1,12,2,17,25,12,1,17,4,11,1,17,1,12,1,17,2,10,1,11,1,10,1,11,1,8,1,12,2,9,1,10,1,9,1,12,1,10,2,9,1,10,3,9,1,8,1,12,1,24,1,9,1,10,1,12,1,17,1,9,1,17,1,12,1,11,1,17,5,12,1,17,4,12,1,17,1,12,1,17,25,12,1,17,7,12,1,17,28,10,1,12,1,17,5,12,1,17,1,12,2,11,2,12,1,11,1,8,1,9,1,11,1,5,21,6,1,28,10,10,1,17,3,10,1,9,1,10,1,7,1,6,3,28,2,30,1,29,1,13,1,24,1,17,2,9,1,28,6,9,1,17,1,28,5,6,1,28,15,}, {29,1,28,1,6,1,28,2,30,1,28,12,30,1,28,3,30,1,7,1,9,2,17,5,9,1,13,2,6,1,7,1,6,1,7,1,24,1,12,2,10,1,13,1,9,1,24,1,8,1,17,1,9,1,8,2,13,1,9,1,17,1,24,1,8,1,7,1,6,3,13,1,16,1,11,1,13,1,29,1,6,1,13,2,8,1,9,1,10,1,15,1,14,1,15,2,8,1,9,1,15,2,14,1,16,1,13,1,28,4,30,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,6,2,29,1,30,1,13,1,6,1,13,1,7,1,13,1,6,1,28,2,6,2,13,2,8,1,12,1,14,1,12,1,13,1,8,1,13,1,6,2,13,1,7,1,16,2,14,1,17,1,11,1,12,1,24,1,8,1,7,1,6,1,30,1,13,1,6,1,7,1,13,1,10,1,17,1,12,1,17,1,11,1,13,1,28,4,30,1,28,3,6,1,29,1,7,1,28,4,5,1141,13,1,28,9,6,1,28,1,30,1,28,1,30,1,6,1,13,1,7,1,8,1,13,1,7,1,13,2,7,1,28,1,6,1,28,1,30,3,13,1,10,1,13,1,8,1,13,2,6,1,29,1,9,1,17,1,11,1,9,3,13,1,12,1,9,1,17,17,10,1,8,1,12,1,9,1,10,2,11,1,17,7,16,1,17,6,11,1,28,5,7,1,11,1,17,2,9,1,8,1,17,3,8,1,17,2,9,1,13,1,6,1,7,1,13,1,17,1,6,1,28,1,30,1,13,2,28,2,30,1,29,1,28,7,30,2,28,3,29,1,27,1,25,1,8,2,12,1,24,1,17,1,24,1,10,1,12,1,9,2,12,1,11,1,24,1,11,1,9,2,8,1,13,2,6,1,9,1,13,1,7,1,8,1,13,1,9,1,11,1,9,3,13,2,30,1,28,1,30,1,28,3,30,1,6,1,28,1,30,1,28,1,30,1,13,1,6,1,28,1,6,2,13,3,9,1,13,3,9,3,16,1,9,1,13,1,9,4,11,1,16,1,10,1,17,1,9,1,17,2,16,1,17,6,16,2,17,1,16,2,11,2,9,1,11,1,17,1,16,1,17,1,9,1,17,1,11,2,17,1,11,1,16,2,17,1,16,2,17,1,16,1,17,6,16,1,17,24,9,1,11,1,17,1,13,2,11,1,30,2,28,11,30,1,28,12,30,1,28,76,30,2,28,6,30,1,29,1,28,3,6,1,28,1,30,1,13,1,29,1,28,2,30,1,28,3,30,2,28,1,30,1,28,11,29,1,28,1,30,1,28,2,6,2,29,1,6,2,28,1,6,1,28,1,29,1,6,1,28,3,30,1,29,1,30,3,28,5,30,1,28,5,29,1,28,2,7,1,30,1,28,1,6,1,30,3,28,4,6,2,28,1,7,1,28,2,29,1,28,1,29,1,30,2,13,1,6,1,30,1,13,1,6,1,13,1,6,1,13,2,7,2,13,3,10,1,8,2,9,2,11,1,10,1,11,1,13,1,28,18,30,1,13,1,12,2,17,1,9,2,11,1,12,1,11,1,17,1,12,1,10,1,24,2,25,2,26,1,28,13,30,3,29,1,6,1,24,1,8,1,12,1,24,1,17,2,11,1,17,3,12,1,17,2,12,2,17,1,11,2,17,6,16,1,17,13,10,1,9,1,6,1,7,1,6,1,29,1,6,4,13,1,9,2,8,1,13,1,9,1,11,1,17,5,16,3,17,2,11,2,16,1,11,2,17,1,11,3,10,1,11,6,9,2,11,1,16,1,17,1,11,2,9,3,11,5,17,1,11,1,12,1,11,1,13,3,8,1,9,1,13,2,7,1,30,1,24,1,13,1,24,1,13,1,8,2,13,1,7,1,13,1,8,2,7,2,8,1,30,1,8,1,13,2,8,1,9,1,8,1,24,1,13,1,24,1,8,1,11,1,24,2,8,3,24,1,13,1,11,1,9,1,10,1,9,1,11,1,16,1,17,2,16,1,17,2,16,1,17,1,16,1,11,1,9,2,13,1,11,1,8,2,9,1,10,1,13,1,12,1,8,2,10,1,9,2,10,1,8,1,11,2,10,1,11,2,10,1,16,1,9,1,16,1,11,1,10,1,11,3,9,1,11,1,9,1,11,1,10,1,11,1,9,1,11,2,9,1,16,1,17,1,10,1,11,2,16,1,17,1,11,1,17,1,16,1,17,1,16,1,11,1,17,3,11,1,17,5,11,1,17,3,12,1,17,4,11,1,17,3,11,2,17,1,11,2,17,1,12,1,17,1,11,1,12,1,11,1,17,1,10,1,8,1,9,1,8,1,9,2,7,1,13,1,7,1,13,1,24,1,8,2,13,2,8,1,24,2,9,1,10,1,17,1,12,1,17,35,12,2,8,1,24,1,13,3,8,3,10,1,9,1,17,26,10,1,17,1,10,1,17,1,24,1,17,1,12,1,10,1,17,1,10,1,11,1,9,1,8,1,12,1,10,1,12,1,10,1,8,1,10,1,24,1,10,2,11,1,24,1,9,1,11,1,8,2,9,2,12,1,9,1,11,1,24,1,10,1,12,2,17,1,11,1,17,6,12,1,10,1,17,2,12,1,17,4,11,1,17,32,12,1,17,2,12,1,17,2,12,1,17,12,12,1,17,5,12,1,17,1,12,1,17,9,12,2,11,4,5,24,28,11,8,1,17,4,9,1,8,1,6,1,13,1,8,1,30,1,7,1,30,1,28,2,6,1,17,3,13,1,28,6,17,1,24,1,29,1,28,4,6,1,28,15,}, {29,1,30,2,28,16,29,1,28,1,6,2,13,1,9,1,17,1,11,1,12,1,17,1,16,1,17,1,8,1,7,1,13,1,6,1,13,3,29,1,10,2,9,2,13,1,8,2,17,1,10,2,29,1,30,1,13,1,15,1,10,1,6,2,29,3,8,1,17,1,15,1,13,1,6,3,29,1,13,2,9,1,14,1,17,2,14,1,9,1,15,1,8,1,9,1,14,1,12,1,13,1,28,2,30,1,28,3,30,1,29,2,30,1,28,1,30,1,28,1,29,1,6,1,30,1,29,1,13,1,7,1,6,1,30,2,6,1,30,2,29,1,13,1,7,1,8,2,12,1,14,1,10,1,8,2,13,2,6,1,13,1,7,1,10,1,16,3,9,2,8,1,6,2,29,1,6,1,13,1,30,1,8,1,7,1,24,1,9,2,14,1,11,1,30,1,28,3,6,1,28,1,29,2,30,1,6,3,28,3,13,1,5,1140,28,9,30,2,28,1,30,1,28,1,13,1,29,1,13,1,8,1,7,1,9,1,13,2,6,1,13,1,6,1,29,1,6,1,7,1,29,2,30,1,7,1,9,1,8,4,7,1,11,1,17,2,10,1,11,1,24,1,9,3,11,2,17,9,11,1,7,1,6,1,9,1,12,1,17,1,9,2,8,2,11,1,24,1,17,3,11,1,17,2,9,1,11,1,17,2,16,2,17,4,9,1,28,2,30,1,28,3,17,4,12,1,17,6,8,1,7,1,13,2,6,1,10,1,28,3,8,1,13,1,28,2,30,1,13,1,28,6,30,1,29,1,30,1,29,1,28,2,29,2,8,1,25,2,12,1,24,1,12,2,10,1,17,1,11,1,12,1,17,1,10,1,8,1,9,1,24,1,11,1,13,2,9,1,13,1,7,1,8,1,13,4,9,1,11,3,13,2,6,1,28,1,6,1,30,1,13,2,30,1,28,1,30,1,28,1,13,1,28,1,30,1,6,1,13,1,6,1,13,1,7,1,13,3,30,1,13,3,9,3,11,1,13,1,9,1,13,1,9,1,11,1,16,1,9,2,16,3,11,1,16,1,17,2,16,1,17,3,16,4,17,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,2,17,1,16,1,11,1,16,2,17,1,11,2,16,1,17,1,16,2,17,2,11,1,16,1,17,19,16,1,17,1,16,1,17,1,16,1,10,1,9,1,17,1,9,1,8,1,13,1,11,1,6,1,28,1,30,1,28,93,30,1,29,1,28,5,30,1,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,2,28,1,30,1,28,1,13,1,28,2,30,1,28,7,30,2,28,2,30,1,28,2,30,1,29,1,28,1,30,2,28,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,29,1,30,1,13,1,28,2,6,1,7,1,30,2,29,1,30,2,28,2,30,1,28,6,30,1,28,1,30,1,28,2,30,2,28,2,30,2,28,1,6,1,30,1,28,2,30,1,28,2,6,4,30,1,28,1,6,1,30,1,28,1,30,1,28,1,6,1,13,1,6,1,29,1,6,1,13,2,7,1,13,2,8,1,13,1,7,1,13,2,8,1,10,3,11,1,17,1,7,1,28,18,30,1,8,1,9,1,17,1,12,1,17,1,11,1,12,1,10,1,12,3,17,1,24,1,8,1,24,1,25,1,29,1,30,1,28,12,30,1,28,2,24,1,25,1,24,1,6,1,10,1,17,1,9,1,17,3,10,1,17,1,9,1,17,4,11,1,12,1,17,1,12,1,17,3,10,1,17,1,12,1,17,11,16,1,9,1,8,1,30,1,6,3,29,1,6,4,8,3,9,4,11,1,17,4,16,1,17,2,16,1,11,1,17,1,16,1,11,5,16,1,11,5,9,3,11,1,9,1,11,2,9,4,11,4,10,1,11,2,16,1,12,1,17,1,13,2,8,1,6,2,13,1,6,1,13,1,8,3,13,4,8,1,13,2,8,1,7,1,13,2,6,1,13,2,7,2,13,1,8,3,9,1,8,1,9,3,8,1,9,1,8,1,10,2,8,1,13,1,17,1,9,1,13,1,11,2,9,1,11,1,16,1,17,1,11,1,16,1,10,1,9,1,11,1,9,1,13,1,11,1,8,1,9,1,8,2,24,1,8,1,9,2,8,1,9,1,8,1,11,1,9,2,12,1,9,1,10,1,9,1,10,1,12,1,11,2,9,1,10,1,9,1,16,1,9,1,11,1,16,2,11,1,17,2,11,1,16,1,11,2,9,1,11,2,9,1,10,1,11,1,10,1,16,1,11,3,10,1,17,11,11,1,17,11,11,1,17,1,11,2,17,1,12,1,11,1,17,3,12,1,17,1,12,2,11,1,10,1,11,1,9,1,13,1,8,1,13,2,8,2,13,1,8,1,13,1,7,1,13,2,8,2,10,2,12,1,17,35,12,3,10,1,17,1,8,1,24,1,8,1,13,1,10,2,17,5,12,1,17,7,10,1,17,15,12,1,11,1,12,2,10,1,11,1,17,1,12,1,13,1,11,1,9,1,13,1,12,1,13,1,12,1,24,1,8,1,12,1,11,1,10,1,8,1,24,1,9,1,10,2,24,1,9,3,12,1,10,2,9,2,17,1,10,1,17,4,12,1,17,1,11,1,17,3,12,2,17,1,12,2,17,45,12,1,17,6,12,1,17,10,12,1,17,3,12,1,17,4,11,1,17,1,11,1,10,1,16,1,5,25,28,10,30,1,11,1,17,2,16,1,11,1,17,1,13,1,7,1,13,2,28,1,30,2,6,1,28,1,8,1,10,1,17,2,8,1,28,5,30,1,17,1,9,1,29,1,28,1,6,1,28,2,6,1,28,15,}, {30,1,6,1,28,1,30,1,6,1,28,14,30,1,28,2,29,1,13,1,24,1,11,1,12,1,17,4,9,1,30,1,6,1,7,1,6,2,7,1,13,1,9,1,10,1,24,1,13,1,8,2,13,1,24,1,10,1,9,1,7,1,6,1,13,1,14,1,9,1,6,1,13,1,29,1,6,2,9,1,17,1,9,1,13,2,6,1,29,1,13,2,6,1,24,1,12,1,16,1,17,1,12,1,16,1,9,1,16,2,14,1,10,1,13,1,30,1,28,6,30,2,28,1,30,1,29,1,30,3,6,1,13,1,6,1,13,1,24,1,7,1,6,1,28,3,6,1,8,1,13,1,7,1,8,1,15,1,14,2,13,2,8,1,6,1,13,1,29,1,13,1,17,2,12,1,17,1,9,1,8,1,13,1,6,1,13,1,6,1,7,1,6,4,10,1,15,2,17,2,6,1,28,1,30,1,28,1,30,1,28,3,6,1,28,1,6,1,30,2,28,3,5,1139,28,7,30,1,28,1,30,1,28,1,30,1,28,1,30,1,7,1,30,1,6,1,13,1,24,1,13,4,30,2,13,1,7,1,6,1,30,3,28,1,6,1,9,1,12,1,9,1,13,2,10,1,17,3,10,1,12,1,10,1,9,1,8,1,11,1,24,1,11,1,12,1,17,6,9,1,13,1,30,1,24,1,29,1,28,1,13,1,24,1,12,1,13,2,9,1,10,1,9,1,17,2,12,1,24,1,7,1,13,1,9,1,13,1,10,1,9,1,17,1,12,1,17,5,16,1,6,1,28,1,30,1,13,1,11,1,17,12,13,3,6,1,28,4,13,1,7,1,28,3,6,1,28,6,30,1,29,3,28,2,30,1,26,2,24,1,8,1,17,1,10,2,12,2,10,1,9,1,17,1,12,3,9,1,12,1,13,1,8,2,9,1,13,3,6,2,13,1,9,6,13,1,30,1,28,1,6,1,28,2,30,1,28,1,30,2,28,1,30,3,6,1,7,1,28,1,30,1,6,3,13,1,6,1,13,1,6,1,13,2,9,1,13,2,6,1,13,1,9,1,8,1,9,3,11,1,16,1,11,2,16,1,11,1,16,3,17,1,16,3,17,2,16,1,17,1,16,1,17,2,11,1,17,1,11,1,17,1,11,2,16,1,9,1,17,1,11,1,17,1,16,1,11,1,16,2,17,3,16,1,17,21,16,1,17,1,16,1,17,1,16,1,9,2,11,1,16,3,8,1,9,2,28,2,30,1,28,94,29,1,28,10,30,1,28,1,29,1,28,1,30,1,28,1,30,2,6,1,7,1,29,1,28,1,30,3,6,1,28,7,6,1,28,1,30,1,28,4,30,1,28,1,30,1,29,1,28,1,30,1,6,1,8,1,13,1,28,1,6,7,7,1,30,1,29,1,28,4,30,1,28,2,30,1,28,7,30,1,28,3,30,1,28,3,30,1,29,1,28,2,30,4,6,1,28,1,6,2,28,1,29,2,6,1,28,1,30,1,6,1,28,1,29,1,28,2,6,1,13,1,29,1,13,1,6,1,8,1,13,2,8,1,6,1,13,3,8,1,9,1,8,1,11,1,10,2,8,1,30,1,28,17,8,1,12,4,17,1,12,1,17,1,12,1,9,1,12,1,17,1,9,1,12,1,24,1,7,1,25,1,27,1,30,3,28,10,30,1,29,1,30,1,8,2,24,1,9,2,10,2,12,1,17,1,12,3,17,3,12,1,11,1,12,1,9,1,10,1,17,2,11,1,17,1,12,1,17,13,12,1,13,1,6,2,13,1,6,2,7,1,6,3,13,1,8,4,9,1,8,1,9,1,13,1,9,1,16,2,17,2,16,2,17,1,11,1,17,1,16,3,11,4,17,1,16,1,9,1,16,1,9,1,17,1,9,1,11,1,16,1,10,1,11,1,17,1,11,1,16,1,9,1,16,1,11,1,16,1,11,3,16,1,11,1,16,1,17,1,8,1,13,1,7,1,13,1,8,1,13,1,8,2,6,1,7,2,6,1,13,1,8,1,13,1,7,1,13,1,6,1,13,2,6,1,7,2,13,1,29,1,13,1,29,1,7,1,8,1,13,1,9,1,8,2,12,1,8,2,24,1,8,2,9,1,8,1,9,1,8,1,9,1,11,1,13,2,9,1,16,1,17,1,11,1,17,1,11,3,9,1,11,1,9,1,8,1,9,3,8,1,10,1,9,2,13,1,9,2,8,1,9,1,10,1,8,1,9,2,10,2,9,2,11,1,10,1,11,1,10,1,9,1,16,1,9,1,16,1,10,2,11,1,17,1,11,1,16,2,11,1,9,1,11,1,17,1,9,1,11,1,10,2,9,1,11,1,10,1,9,1,16,1,17,1,16,1,11,1,9,1,17,1,11,1,17,1,11,1,17,1,11,1,17,7,11,1,12,1,17,4,12,1,11,1,17,2,11,1,10,1,11,1,12,1,17,3,12,1,17,3,12,1,11,1,10,1,11,1,12,1,8,1,9,1,11,1,24,1,13,1,8,1,13,2,7,1,13,3,8,1,13,1,24,1,10,1,12,1,17,36,12,1,17,1,10,1,24,2,13,1,7,1,13,2,10,2,17,21,12,1,17,7,12,1,17,1,12,1,9,1,12,2,17,1,13,1,10,1,13,1,9,1,13,1,10,1,12,1,24,1,13,1,10,1,24,1,13,1,10,1,8,2,10,1,8,2,9,1,24,2,13,2,10,1,13,1,8,1,12,1,24,1,12,1,17,1,9,1,12,2,17,2,12,1,17,9,11,1,12,1,17,1,11,1,17,22,12,1,11,1,12,1,11,1,17,14,12,1,17,13,12,1,17,10,9,1,11,1,10,2,11,1,5,27,28,11,16,1,17,2,12,2,17,1,13,1,7,1,6,1,7,1,30,1,28,3,30,1,8,1,9,1,17,2,8,1,28,5,6,1,17,1,8,1,30,1,28,3,30,1,29,1,28,15,}, {28,1,6,1,13,1,28,13,30,1,28,2,30,3,29,1,6,1,13,1,8,1,12,1,17,4,9,1,13,1,7,1,13,1,6,3,7,1,9,1,17,1,24,1,7,1,13,1,8,1,13,1,9,1,13,1,9,1,13,2,8,1,17,1,12,1,6,1,30,1,6,3,24,1,11,1,8,1,10,1,6,1,29,1,7,2,6,1,13,1,7,1,9,1,17,3,16,1,12,1,11,2,14,1,9,1,6,1,28,1,30,1,28,5,6,1,28,1,29,1,6,1,29,1,28,1,6,5,13,2,6,1,7,1,30,1,28,1,29,1,6,1,8,4,14,2,15,1,11,1,8,1,13,1,6,1,7,1,29,1,6,1,11,1,17,2,16,1,10,1,13,1,7,2,6,2,13,1,7,1,6,2,30,1,9,2,17,3,13,1,6,1,28,1,30,1,28,3,30,3,28,2,30,1,28,3,33,1,5,1136,33,1,28,9,30,1,28,3,30,1,6,2,13,1,8,1,13,1,8,1,13,2,6,2,7,1,6,3,29,1,6,2,30,1,6,1,30,1,29,1,11,1,17,2,9,1,17,2,13,1,12,2,9,1,12,1,17,1,10,1,17,1,11,1,9,1,12,1,17,5,12,1,6,1,13,1,7,1,29,1,6,1,7,1,29,1,6,1,24,2,11,1,12,1,9,2,17,1,9,1,29,1,6,1,13,1,8,1,13,1,8,1,9,2,24,1,11,1,17,5,11,1,16,1,28,1,9,1,17,1,16,1,17,4,12,1,17,9,9,1,11,1,30,1,28,2,30,1,6,1,30,1,28,10,30,1,29,1,6,1,28,3,27,1,29,1,25,1,24,2,10,1,24,1,17,2,12,2,17,1,12,2,17,1,10,3,9,3,13,3,6,2,13,1,6,1,13,3,16,2,11,1,13,1,9,1,13,1,30,1,28,1,6,1,30,2,28,3,30,2,6,1,28,1,6,1,30,1,13,1,6,1,28,1,30,1,13,2,28,1,6,1,13,1,9,4,13,2,9,1,13,1,9,2,11,1,9,1,11,1,16,1,11,1,16,6,17,2,16,1,17,2,16,5,11,2,16,1,11,3,16,1,17,1,11,1,16,2,17,1,16,3,17,1,16,1,17,1,11,1,17,1,16,1,17,9,16,1,17,10,16,2,17,2,11,1,16,2,9,1,10,1,13,1,9,1,12,1,13,1,30,1,28,11,30,1,28,2,30,1,6,1,13,1,28,2,30,1,28,78,30,1,28,2,29,1,28,3,30,1,28,3,30,2,28,5,30,1,28,1,6,1,28,1,30,1,28,3,30,2,6,1,28,2,30,2,28,1,29,1,28,1,13,1,30,1,6,1,28,1,30,1,28,1,29,1,30,1,28,3,30,1,28,1,6,2,13,1,6,1,28,1,6,1,30,1,28,1,7,2,6,1,29,1,28,1,13,1,30,1,6,1,30,1,28,3,30,1,28,7,29,1,28,1,30,1,6,1,28,4,30,1,28,2,30,1,7,1,6,1,28,1,6,1,28,3,6,1,30,1,28,1,30,2,28,2,7,1,28,1,7,1,30,1,6,1,13,1,6,1,13,3,7,1,13,4,11,1,9,3,11,1,9,2,28,11,30,1,28,6,13,1,17,4,12,2,17,1,9,1,24,1,12,2,11,1,24,1,8,1,24,1,25,1,27,1,28,2,30,1,28,5,29,1,28,3,30,1,28,1,27,2,8,1,24,1,8,1,10,1,12,2,17,4,12,1,17,1,12,1,17,1,10,1,12,1,17,5,11,1,12,1,17,12,12,1,17,2,9,1,28,1,6,1,13,1,6,1,29,1,6,3,13,2,8,1,9,2,8,1,9,2,8,1,9,1,13,1,9,1,10,1,9,1,17,1,16,2,17,1,11,1,16,2,11,2,16,1,11,1,16,3,11,1,16,1,10,1,17,1,11,2,10,1,16,1,11,1,16,2,11,1,16,1,11,1,16,2,9,1,17,1,16,2,11,1,17,4,9,1,6,1,29,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,8,1,7,2,6,1,13,1,7,4,6,1,7,1,6,1,7,1,8,2,6,1,7,1,13,1,6,1,7,1,24,2,13,1,9,1,13,1,9,1,24,1,9,1,8,6,24,1,8,1,10,2,9,1,11,1,17,1,16,1,11,2,9,1,8,1,9,1,13,1,9,2,8,1,9,3,10,1,8,2,9,1,10,1,9,1,13,1,9,1,8,1,13,1,11,1,9,2,10,1,11,3,16,1,11,1,10,1,12,1,11,2,10,1,11,1,16,3,11,1,17,1,11,1,10,1,16,2,11,1,9,3,8,2,11,1,10,1,9,1,16,1,17,1,12,1,11,1,17,1,11,1,17,7,12,1,11,1,17,7,12,1,17,10,11,1,17,4,11,1,12,1,11,1,12,1,10,2,12,1,24,2,8,1,13,1,8,1,13,1,8,1,6,1,13,1,8,1,13,1,9,1,10,1,11,1,10,2,12,1,17,28,12,1,17,6,11,1,17,1,10,1,11,1,13,2,9,1,8,1,10,1,17,3,12,1,17,14,12,1,17,4,12,1,17,1,11,1,10,1,17,2,12,1,17,2,12,2,10,2,24,1,10,2,9,1,17,1,8,1,24,2,9,1,8,1,13,2,10,1,13,2,10,1,11,1,24,1,12,1,13,1,10,1,8,1,13,2,24,2,12,1,17,1,13,1,12,1,10,1,9,1,17,2,12,1,17,2,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,10,12,1,17,2,12,1,17,1,12,1,17,26,12,1,17,15,12,1,17,10,12,1,17,1,9,3,5,29,28,10,30,1,11,1,17,4,9,1,13,1,8,3,30,1,28,1,30,1,28,1,6,1,13,1,8,1,17,2,13,1,28,5,29,1,17,1,7,1,29,1,28,20,}, {28,3,30,1,28,1,29,1,28,13,30,1,28,2,30,2,13,1,8,1,24,1,17,1,16,1,17,2,8,1,13,1,6,1,8,1,6,3,9,1,11,1,17,1,24,2,10,1,13,1,24,2,8,1,9,1,8,1,13,1,8,1,16,1,8,1,6,3,28,1,6,1,13,1,15,1,9,2,6,1,24,1,13,1,6,2,30,1,29,1,10,2,17,1,9,3,10,1,17,2,10,1,13,1,28,1,30,1,28,2,30,1,28,2,29,1,13,2,30,1,7,1,13,1,29,1,13,1,7,1,13,1,8,1,6,1,8,1,6,1,30,1,28,3,6,1,13,2,8,1,10,1,14,3,12,1,13,1,8,1,6,1,29,1,6,2,9,1,12,1,16,2,17,1,13,1,7,3,13,1,6,1,29,1,13,1,6,1,13,1,8,1,24,1,12,1,17,1,14,1,13,1,30,1,28,7,30,1,29,1,6,1,28,4,5,1137,28,10,30,1,28,1,6,1,30,1,28,1,7,3,24,1,9,1,7,1,13,2,7,1,6,1,7,1,29,1,7,1,6,3,7,1,30,1,6,1,28,1,6,1,9,2,17,4,12,1,10,1,17,4,12,1,10,1,11,1,9,2,24,2,17,1,10,1,17,1,10,1,7,2,29,1,6,1,28,1,30,1,28,1,6,1,8,1,12,1,11,2,9,1,12,1,17,1,6,1,7,2,9,1,6,1,13,1,9,1,8,1,9,1,8,1,17,3,16,1,17,4,8,1,9,1,17,13,16,1,17,1,10,1,8,1,11,1,6,1,28,2,6,2,28,3,29,1,28,8,30,1,29,1,28,1,30,3,25,1,8,1,24,1,12,1,17,1,12,2,9,1,12,2,17,1,10,1,17,1,9,1,12,1,11,1,17,1,13,1,8,2,13,3,6,1,13,1,9,1,13,2,16,3,11,3,9,1,10,1,13,1,9,1,7,1,30,1,6,1,28,3,30,1,28,1,13,1,28,2,30,2,13,2,28,2,13,1,6,2,13,1,9,1,8,1,6,1,13,2,9,3,11,2,9,1,11,1,9,2,13,1,11,3,16,3,11,1,16,4,17,1,16,1,17,1,9,2,16,4,11,1,16,2,17,2,11,2,17,3,16,1,17,3,16,3,17,1,16,1,17,1,16,1,17,1,16,1,11,1,17,1,16,1,17,6,16,1,17,1,11,1,16,3,17,1,16,1,17,1,9,1,16,1,11,1,9,3,17,1,11,1,28,2,30,1,28,7,6,1,28,3,30,1,13,5,7,1,13,1,7,1,6,1,30,1,28,73,6,1,28,4,29,1,28,6,30,1,28,2,6,1,28,2,29,1,30,2,29,1,6,2,13,1,7,2,6,1,28,1,30,1,28,4,29,1,30,1,28,2,6,1,28,1,29,1,28,2,30,1,28,1,7,1,28,1,30,1,6,1,30,1,13,1,6,1,7,1,13,1,30,2,6,1,29,1,6,1,28,1,30,1,29,2,6,1,30,4,6,1,30,2,28,5,30,1,28,2,30,2,28,1,6,1,28,1,6,1,30,1,28,1,30,1,7,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,29,1,30,1,6,1,28,2,6,1,28,2,7,1,28,1,6,2,13,2,9,1,7,1,13,3,8,1,13,1,9,3,12,1,17,1,9,1,17,1,30,1,28,8,30,1,28,1,30,1,28,5,29,1,8,1,10,1,12,1,17,1,11,1,9,1,17,1,10,1,12,3,10,1,12,1,10,1,8,2,25,2,29,1,30,1,28,9,29,1,27,1,29,1,25,3,24,1,10,1,8,1,17,1,10,2,17,2,11,1,12,2,10,1,9,1,17,1,12,1,11,1,12,1,10,1,17,2,10,1,17,10,11,1,17,2,11,1,17,2,6,2,29,1,7,2,6,2,7,1,13,1,7,1,8,1,24,1,8,5,9,1,13,1,10,1,8,1,10,2,16,3,17,3,16,1,11,2,16,1,17,1,16,2,17,1,16,1,11,1,10,1,17,2,16,1,11,1,16,7,11,1,16,1,11,3,16,4,11,2,13,2,7,1,13,1,6,1,29,1,7,1,13,1,29,1,6,1,24,1,6,1,13,1,8,1,6,1,13,1,6,1,7,1,6,1,13,2,8,1,7,1,13,4,7,1,24,1,10,1,13,2,8,3,10,1,8,2,24,4,13,1,9,2,24,1,8,2,16,1,8,1,10,1,11,1,9,3,8,1,13,1,9,4,10,1,8,1,9,1,24,1,9,1,24,1,8,2,24,1,13,1,9,1,11,1,8,1,9,2,12,1,9,1,11,2,9,3,11,1,9,2,11,2,16,1,11,4,17,1,11,2,9,2,11,1,10,1,11,2,10,1,9,2,12,1,9,1,17,1,11,1,17,1,11,1,17,22,16,1,17,6,11,1,17,2,12,1,17,1,12,1,17,1,12,1,10,1,11,1,24,1,8,1,17,1,10,1,8,1,9,1,7,2,24,1,13,1,7,1,24,1,13,1,8,1,24,1,12,1,17,1,12,1,17,12,12,1,17,21,11,1,17,2,11,1,10,1,9,1,8,1,9,1,24,1,10,1,17,1,12,1,17,15,12,1,17,3,12,1,11,1,9,1,10,1,17,1,8,1,17,1,12,1,17,2,11,1,10,2,9,2,10,1,9,1,8,1,6,1,24,1,13,1,8,1,24,1,8,1,13,1,24,1,9,1,8,1,10,1,11,1,24,1,8,1,9,1,12,1,13,1,8,1,10,1,8,1,24,1,9,1,8,1,10,2,24,1,17,1,10,1,17,1,9,1,11,1,12,2,17,1,10,1,17,1,12,1,17,1,12,2,11,2,17,1,12,3,17,5,12,1,17,2,11,2,17,16,12,1,17,4,11,1,17,31,24,1,13,1,9,3,5,31,28,10,6,1,17,4,16,1,17,1,13,1,24,1,13,1,6,2,28,3,6,1,8,1,16,1,12,1,17,1,13,1,28,5,6,1,14,1,8,1,6,1,28,20,}, {30,1,28,1,6,1,30,1,29,1,28,17,29,2,13,2,8,1,12,1,17,1,14,2,10,1,7,1,8,1,13,3,6,1,13,1,17,1,16,1,9,1,8,2,9,1,24,1,9,2,16,1,13,1,7,1,13,1,12,1,15,1,8,1,7,1,30,1,6,1,13,2,9,1,12,1,9,1,13,1,6,1,28,1,6,2,30,1,13,1,8,1,12,1,17,2,9,1,13,1,9,1,24,1,14,1,16,1,13,1,29,1,28,3,30,1,28,2,29,1,6,1,13,1,6,3,30,1,29,1,7,1,28,2,29,1,7,1,8,1,29,1,6,1,30,1,7,1,30,1,24,1,8,1,13,1,24,1,14,3,9,1,13,1,6,3,30,1,28,1,10,1,17,3,16,1,9,1,8,3,7,1,13,2,7,1,6,2,24,1,10,1,16,1,17,2,13,1,28,6,30,3,28,1,30,1,28,4,33,1,5,1134,33,1,28,8,30,1,28,4,30,2,28,1,7,1,13,1,6,1,8,1,13,4,6,2,13,1,7,1,29,1,30,1,6,1,7,1,30,1,28,1,30,1,8,1,11,1,12,1,17,3,12,1,11,1,12,1,10,1,11,1,17,1,10,1,9,1,17,1,12,1,17,1,12,1,17,1,12,1,17,2,10,2,24,1,8,1,6,1,13,1,10,3,13,1,7,1,6,1,10,3,12,1,17,1,13,1,6,1,7,1,6,1,8,1,12,1,10,1,8,1,13,1,8,1,9,2,16,1,17,6,9,1,6,1,13,3,11,1,17,1,9,2,17,3,9,2,17,3,9,1,28,1,6,1,28,2,7,2,28,4,29,1,28,7,30,1,29,3,27,1,30,1,25,2,12,1,24,1,12,2,17,1,12,2,17,1,12,2,10,1,12,2,10,1,12,1,11,1,9,2,8,1,13,1,8,1,30,1,13,1,8,1,13,2,6,2,28,2,6,1,13,2,9,2,13,4,30,3,6,1,30,1,28,2,6,2,30,1,6,6,13,1,7,1,9,2,11,1,13,3,8,1,13,2,9,1,13,1,9,2,11,1,16,1,11,3,9,1,11,2,16,1,11,1,16,3,17,1,11,1,17,1,16,1,9,1,11,3,9,1,11,1,17,1,11,2,16,1,17,2,11,1,17,9,16,1,17,1,11,2,16,1,11,2,16,1,11,1,16,1,11,1,16,5,17,2,16,2,17,1,16,3,11,1,16,2,10,1,11,1,8,1,11,2,13,1,30,1,6,1,30,1,28,5,6,1,28,1,29,1,30,1,6,2,13,6,30,1,6,1,28,2,30,1,28,73,30,1,28,2,30,2,28,5,30,1,28,1,30,2,28,2,13,1,6,1,28,1,30,2,13,1,29,1,28,1,13,2,30,1,6,1,28,1,6,1,28,2,6,1,30,2,28,2,30,1,28,1,29,2,30,2,7,1,29,1,6,1,30,1,28,1,6,2,29,1,6,1,29,1,13,1,30,1,13,1,30,1,13,1,28,1,6,1,30,1,6,2,7,1,30,1,13,1,30,1,28,1,13,1,6,1,29,2,28,1,30,3,28,1,30,3,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,6,1,28,1,29,1,30,1,28,2,6,1,30,1,28,4,29,1,30,2,28,1,6,2,28,1,6,1,13,3,8,1,13,2,29,1,13,1,8,3,11,1,9,1,17,1,12,1,9,1,17,1,29,1,28,16,30,1,8,1,12,2,17,1,9,1,17,4,11,1,12,3,24,1,8,1,24,1,25,2,30,2,28,1,29,1,28,2,30,2,28,3,29,2,25,3,24,3,17,1,9,1,17,3,11,1,17,1,11,1,12,1,17,2,10,1,17,1,12,1,17,2,11,2,17,10,12,1,9,1,11,1,17,3,9,1,6,1,29,1,7,1,29,1,6,1,13,1,29,1,6,1,13,2,24,1,9,2,8,2,10,1,8,1,9,1,13,1,9,4,11,1,16,1,11,1,16,1,17,1,11,2,17,1,16,1,11,1,16,1,11,1,17,1,16,3,11,1,16,2,17,1,16,2,17,1,16,2,17,1,16,2,11,1,16,5,17,1,16,1,17,3,13,1,30,1,13,2,6,1,13,1,7,1,6,1,13,1,7,1,13,1,7,2,6,1,7,2,29,1,13,2,7,2,6,1,7,2,24,1,8,1,7,1,6,1,8,1,7,2,13,1,24,1,13,1,8,1,7,1,8,1,9,1,13,1,8,1,9,1,13,1,24,1,9,1,24,1,9,2,8,1,9,2,24,1,8,1,9,1,11,1,8,1,9,1,13,1,9,4,12,1,9,3,10,1,9,3,8,1,9,2,13,1,8,2,9,4,11,2,9,1,11,2,16,1,9,1,11,1,9,1,12,1,9,2,11,5,10,2,11,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,17,1,11,1,17,1,12,1,16,1,17,1,12,1,17,8,10,1,11,1,17,1,11,1,17,5,12,1,17,9,11,1,17,2,12,1,17,1,11,2,12,2,11,1,9,1,8,1,9,1,12,1,13,1,8,3,30,1,13,2,8,1,24,1,9,1,11,1,9,1,17,1,11,1,17,1,12,1,17,6,12,1,17,3,12,1,17,18,12,1,17,2,12,3,11,1,17,1,11,2,10,1,9,1,17,13,12,1,17,5,12,3,10,1,17,2,12,3,17,2,10,1,17,1,9,1,12,3,24,1,9,1,10,2,8,2,13,2,24,1,13,1,11,1,13,1,9,1,8,1,13,1,9,1,24,1,11,1,12,1,10,2,13,1,24,1,10,1,9,2,13,1,17,1,9,1,11,2,9,1,11,1,12,1,17,1,11,1,17,2,12,1,17,3,12,1,11,1,17,2,12,1,17,2,12,1,17,1,11,1,17,1,12,1,17,3,10,1,11,1,17,2,12,2,17,8,12,1,17,1,12,1,17,38,24,1,9,1,13,2,5,33,28,10,6,1,17,5,12,1,8,1,13,2,6,1,7,1,28,1,30,1,6,1,13,1,11,1,17,1,12,1,17,1,8,1,28,5,7,1,17,1,8,1,6,1,28,20,}, {28,3,30,2,28,16,30,1,28,1,30,1,8,1,12,1,9,2,12,2,17,1,9,1,13,1,6,3,13,1,6,1,13,1,17,2,9,3,12,1,24,1,9,1,10,1,13,1,30,1,6,1,13,1,24,1,15,1,6,5,8,2,24,1,13,2,6,6,13,1,17,1,16,2,9,1,24,1,8,1,10,1,14,2,13,1,6,1,28,3,30,1,28,1,6,1,28,1,6,1,30,2,29,2,30,1,29,1,6,1,28,1,29,1,30,1,28,1,13,1,28,1,6,1,30,1,28,1,29,1,13,1,11,1,12,1,9,1,14,3,10,1,6,4,30,1,13,1,16,1,17,3,9,1,16,1,24,1,13,1,29,1,13,1,29,1,8,1,29,1,6,1,7,1,24,1,10,1,12,1,17,1,16,1,8,1,28,2,30,1,28,5,30,1,28,1,6,1,28,4,13,1,5,1134,28,10,30,1,6,1,28,1,29,1,28,1,7,1,6,1,13,1,7,1,9,1,13,4,7,1,6,2,30,2,6,1,13,1,6,4,17,2,11,1,17,1,12,2,16,1,12,1,11,1,10,1,17,1,11,1,24,1,13,1,8,1,9,1,7,1,13,1,10,1,24,1,7,1,9,1,12,1,10,1,12,1,8,1,13,2,17,1,24,1,8,1,24,1,9,2,13,1,9,2,10,1,17,1,9,1,6,1,7,1,13,2,7,1,8,1,17,3,9,1,17,1,12,1,17,1,12,1,16,1,17,4,11,1,10,1,11,1,9,1,8,1,6,1,8,1,13,1,10,1,12,1,17,2,9,1,6,1,13,1,17,2,6,1,28,1,6,1,28,1,13,2,7,1,28,3,30,1,28,9,27,1,29,1,27,2,25,1,24,2,17,1,10,1,12,2,17,3,12,3,17,1,12,2,10,1,12,2,10,1,13,2,8,1,13,4,6,1,13,1,6,1,13,1,6,1,8,1,6,1,30,1,6,2,13,6,6,1,13,1,28,1,6,1,28,2,6,1,13,1,30,1,6,1,13,1,6,1,30,1,13,3,9,1,13,1,11,1,9,1,11,1,13,1,6,1,9,1,13,3,9,2,11,1,9,2,11,1,16,1,11,1,9,1,16,4,11,2,17,1,16,2,11,1,9,2,11,1,16,1,11,1,9,1,11,1,17,1,16,4,17,6,16,1,17,2,16,3,11,1,16,1,17,1,11,4,9,1,16,2,9,1,17,2,16,3,17,4,16,1,17,5,9,1,10,1,11,2,16,1,29,1,30,1,28,1,30,1,28,4,30,1,6,1,30,1,28,1,30,1,13,5,6,1,30,1,28,1,30,1,6,1,28,1,30,1,28,71,30,1,28,2,30,2,28,5,6,1,28,4,6,1,30,1,6,3,30,1,6,1,13,1,30,1,6,1,30,1,6,1,13,1,30,1,28,1,6,1,28,1,6,1,29,1,28,1,30,3,6,1,28,6,30,1,6,1,7,1,30,1,6,2,30,2,29,1,6,1,28,1,8,1,6,1,30,1,28,1,13,1,6,2,29,1,28,1,30,2,6,1,30,1,13,2,28,1,7,1,30,1,7,1,28,3,30,1,28,1,30,1,28,3,30,1,29,1,13,1,28,1,30,1,28,2,30,2,28,2,30,2,28,1,6,1,28,2,6,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,6,1,28,1,13,2,7,1,13,4,7,1,6,1,13,1,9,1,13,1,8,1,11,1,17,1,11,1,12,1,17,1,13,1,28,17,8,1,12,1,24,1,9,1,24,1,9,2,17,3,12,1,17,1,11,1,10,1,12,1,24,2,27,2,29,2,27,1,29,1,30,3,28,1,30,1,26,1,29,1,27,1,25,1,29,1,24,1,8,1,12,2,10,1,17,1,10,1,17,2,11,1,12,8,9,1,17,1,11,1,17,1,9,1,12,1,17,7,11,1,17,5,9,1,13,1,6,1,29,1,6,1,13,1,7,1,6,1,13,1,8,1,13,1,9,1,10,1,9,1,10,2,9,8,10,2,9,5,10,1,11,1,12,1,17,2,11,2,10,1,11,1,17,2,16,3,11,1,17,1,11,1,16,5,17,1,16,1,11,1,17,1,16,4,11,1,12,1,9,1,13,1,6,1,7,2,13,1,6,1,7,3,6,1,13,1,7,1,13,1,6,1,7,1,13,1,7,1,29,1,7,1,6,1,7,1,8,1,6,2,13,1,8,1,6,1,8,1,13,1,9,1,7,1,8,1,13,2,8,1,9,1,8,2,9,1,8,3,24,2,9,1,13,1,8,3,24,1,9,1,8,1,24,1,8,1,24,1,9,1,24,1,9,2,24,1,8,2,9,1,12,1,24,1,11,1,8,2,13,1,24,1,8,1,9,1,24,1,8,1,9,4,11,1,10,1,11,1,12,1,11,2,9,2,11,1,9,1,17,2,9,1,10,1,16,2,11,2,16,1,11,1,17,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,17,4,11,1,17,8,16,1,17,1,16,1,17,8,12,1,16,1,17,1,11,1,17,11,12,2,17,1,12,1,11,1,10,1,8,1,24,1,9,1,12,1,8,1,30,1,13,4,7,1,13,1,24,1,13,1,12,1,9,1,12,1,17,11,12,1,17,8,12,1,17,6,12,1,17,10,12,2,9,1,12,1,11,1,17,1,11,1,17,2,12,2,17,3,12,2,17,3,12,1,17,1,12,1,17,1,9,2,17,1,24,1,12,1,17,1,10,1,12,2,10,1,12,4,10,2,9,1,12,1,10,1,8,1,10,1,8,1,24,1,8,1,24,1,7,1,24,1,13,1,11,1,24,1,10,3,12,1,10,2,12,2,10,2,9,3,11,1,9,1,10,1,17,1,12,3,11,1,17,2,12,2,17,3,9,1,12,1,11,1,12,2,17,5,11,1,17,9,12,1,17,4,12,1,17,6,12,1,17,36,12,1,17,1,12,1,9,1,13,1,9,1,5,33,13,1,28,10,30,1,14,1,17,4,11,1,8,1,13,1,24,1,7,1,28,1,30,1,28,1,6,2,10,1,16,2,17,1,10,1,28,5,6,1,17,1,8,1,28,3,30,1,28,17,}, {28,3,30,1,28,1,30,3,28,8,30,1,28,5,30,1,13,1,8,1,12,1,9,1,16,2,17,1,14,1,8,1,9,1,28,1,6,1,7,2,6,1,24,1,10,1,17,1,12,1,29,1,11,1,16,1,9,1,10,1,9,2,8,1,7,1,6,1,9,1,15,1,13,1,6,2,29,1,7,1,8,1,9,1,24,1,8,1,13,1,7,1,29,3,7,2,24,1,9,1,14,1,9,1,8,2,9,1,8,1,17,1,15,1,13,1,6,1,28,4,6,1,7,1,13,1,6,2,28,2,30,1,7,1,30,1,29,1,30,2,28,1,30,2,6,1,30,2,6,1,7,2,8,1,24,1,13,1,14,1,17,1,14,1,9,1,7,1,24,1,13,3,29,1,11,1,17,4,10,1,11,1,13,2,6,4,13,1,29,1,13,1,9,1,17,3,13,1,28,7,6,1,30,1,28,1,6,1,30,1,28,3,13,1,5,1133,28,9,30,1,28,4,30,1,28,1,10,1,11,1,17,1,12,1,9,1,13,1,9,1,7,1,13,1,6,1,7,1,29,1,6,1,29,1,6,1,29,1,8,1,28,1,13,1,8,1,17,1,11,1,17,6,24,2,9,1,10,1,7,1,8,1,10,1,7,3,8,1,6,1,25,1,6,1,8,2,12,1,24,1,13,1,17,1,12,1,13,1,6,1,10,2,9,1,24,1,10,1,12,1,24,1,11,1,8,1,6,1,13,4,12,1,11,1,9,1,10,1,12,2,16,2,17,7,16,1,17,1,8,1,28,3,13,1,9,1,12,1,17,2,8,1,13,1,28,1,11,1,17,1,13,1,28,2,9,3,6,1,28,3,6,1,28,7,30,1,29,2,25,1,27,1,24,4,12,1,24,2,17,4,10,1,17,1,12,1,17,1,12,1,11,1,9,1,12,1,10,1,11,2,9,1,8,1,6,1,13,6,30,1,13,1,30,1,6,1,13,1,6,2,30,1,9,1,13,10,6,2,9,1,13,3,8,1,9,1,13,2,10,1,9,2,16,1,9,1,8,1,13,3,9,2,11,1,9,1,13,1,11,1,9,1,16,1,11,2,16,1,11,1,16,1,17,1,13,1,17,2,16,2,11,1,13,2,9,1,30,1,9,1,11,4,17,1,11,1,17,1,11,1,9,1,17,4,16,1,17,4,16,3,11,1,16,1,11,1,16,1,11,5,16,4,17,11,16,1,11,1,8,1,9,1,11,1,13,1,30,2,28,6,6,1,30,1,6,1,30,1,6,1,13,1,7,1,13,2,30,1,28,1,6,1,30,3,28,1,30,1,28,74,30,1,28,2,30,1,28,1,13,1,6,1,28,1,7,1,29,1,28,1,29,1,28,2,6,1,29,1,13,1,29,1,6,1,7,1,29,1,30,1,6,1,7,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,7,1,28,1,30,1,28,3,30,2,28,2,29,1,30,1,28,1,29,1,6,1,30,3,29,1,30,1,6,1,30,1,28,1,13,1,7,2,30,1,7,1,30,1,6,2,28,1,30,2,6,3,28,1,13,1,30,1,6,2,30,1,28,2,6,1,30,1,28,3,30,1,6,2,28,1,30,1,28,1,6,1,30,2,28,1,29,1,30,2,28,1,30,1,28,3,7,1,28,1,6,2,30,4,13,1,6,2,13,1,6,1,8,1,7,1,13,2,6,1,13,2,9,1,8,1,9,2,17,1,12,1,17,2,10,1,28,4,30,1,28,1,30,1,29,1,28,1,29,1,7,1,28,6,8,1,9,1,24,1,9,1,8,1,9,1,10,1,12,2,17,1,11,1,17,2,24,3,8,2,26,1,25,1,27,1,30,2,27,1,30,1,28,1,30,1,27,1,25,1,27,1,26,1,8,2,24,1,17,1,13,1,12,3,11,1,9,1,17,1,11,1,12,1,17,1,9,1,12,2,9,1,17,1,16,1,9,1,11,1,17,1,9,1,17,8,16,1,17,6,7,1,6,3,29,1,13,1,6,1,13,2,8,2,10,1,11,2,12,1,9,1,11,1,9,3,11,1,8,1,9,2,8,1,9,1,13,1,8,1,13,4,8,1,9,1,17,1,16,2,17,1,16,1,11,2,16,1,17,2,11,1,17,1,11,1,16,5,17,1,16,1,17,1,16,6,10,1,11,1,12,1,6,4,7,1,6,3,8,1,6,1,24,1,7,2,13,1,29,1,7,2,8,1,7,2,6,1,13,1,7,1,24,1,8,1,7,2,8,1,7,3,13,1,7,1,13,2,7,1,9,1,13,1,8,3,13,1,9,1,24,2,8,1,24,1,8,1,9,1,8,1,24,2,13,1,9,1,8,1,9,1,11,1,9,2,8,2,9,1,10,1,12,1,24,1,8,1,9,2,10,1,24,1,13,1,9,1,8,1,24,1,9,1,24,1,8,1,10,1,11,1,9,1,12,1,11,2,9,1,10,1,11,2,16,1,11,1,10,1,9,2,11,2,16,1,9,1,11,1,16,2,11,1,16,1,10,1,9,1,11,1,9,1,11,1,17,1,11,1,10,1,17,1,16,1,17,21,16,1,17,11,11,6,9,1,10,2,12,3,10,1,13,1,6,1,13,1,6,1,9,1,13,3,10,1,9,1,24,1,12,1,17,1,10,1,17,6,12,1,17,8,12,1,17,17,10,1,12,2,17,1,10,1,11,1,17,8,12,2,24,1,12,1,17,1,12,1,24,1,12,1,9,1,10,1,12,1,10,1,12,1,9,1,12,2,10,1,12,2,24,1,12,1,11,1,12,1,9,1,10,2,17,1,24,1,10,1,12,1,24,1,10,2,24,1,8,1,24,2,8,1,24,1,8,1,12,2,10,1,17,1,12,2,17,3,10,1,17,1,24,1,10,1,12,3,10,1,12,1,10,2,12,3,17,5,11,1,17,3,12,1,17,4,11,1,17,3,11,1,17,3,12,2,17,5,12,1,17,45,11,1,17,1,10,1,9,1,13,1,5,34,13,1,28,11,17,5,9,1,24,1,13,2,28,1,6,1,30,1,29,1,30,1,13,1,9,1,11,1,12,1,17,1,8,1,28,5,8,1,17,1,8,1,28,3,29,1,28,17,}, {28,3,30,1,28,1,30,1,28,15,6,1,7,1,6,1,9,2,17,1,12,1,9,1,17,2,15,1,24,1,6,1,30,2,8,1,28,1,11,1,17,2,12,1,16,1,11,1,8,1,10,1,9,3,7,1,6,1,29,1,17,1,12,1,9,1,13,1,6,1,13,1,7,1,13,1,10,1,8,1,9,1,6,1,29,1,7,2,6,2,29,1,9,1,15,1,17,1,10,1,8,1,13,3,17,1,14,1,13,1,30,1,6,1,28,4,6,1,13,1,28,2,30,4,29,1,28,1,30,2,6,2,28,1,29,1,30,1,13,1,28,1,6,2,9,1,8,1,24,1,17,2,14,1,13,1,6,1,13,1,29,1,6,2,13,1,24,1,11,1,17,2,11,2,8,1,7,1,13,2,7,1,13,1,6,1,13,1,29,1,8,2,16,1,17,2,13,1,28,10,30,1,28,4,13,1,5,1132,28,8,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,1,17,1,11,1,17,3,13,1,8,1,13,1,6,1,29,1,6,2,10,1,11,3,9,2,8,1,17,5,12,1,17,1,9,2,24,1,8,1,24,1,8,2,24,2,8,1,24,1,8,2,25,1,26,1,8,1,26,1,6,1,12,1,17,3,10,1,17,1,12,3,10,1,12,1,9,3,12,1,8,1,7,2,13,1,7,1,30,1,8,1,17,2,9,1,12,1,17,13,9,1,28,2,30,1,24,1,12,1,17,2,10,1,7,1,28,1,13,1,11,1,10,1,28,2,30,1,6,1,12,1,30,1,28,1,6,2,28,9,26,1,25,2,27,1,24,4,12,1,17,3,12,1,17,2,10,1,17,1,12,2,11,1,17,1,12,1,9,2,12,1,9,2,13,1,10,1,8,1,9,1,13,6,6,1,7,1,6,2,7,1,13,4,9,1,13,2,9,3,13,9,6,1,13,2,9,1,11,1,9,3,8,1,13,2,8,1,9,1,13,1,9,2,13,1,16,1,13,1,9,1,16,2,11,1,16,1,11,1,16,1,13,1,16,1,17,2,16,2,9,2,16,1,11,1,9,1,11,1,9,1,11,2,9,1,11,1,16,1,11,2,16,1,17,1,16,2,17,3,16,2,11,1,16,1,11,1,16,1,11,1,9,1,16,1,9,1,11,1,16,1,9,1,10,1,16,3,17,1,16,1,17,3,11,1,17,5,11,1,9,4,11,1,13,1,6,1,29,1,28,4,30,2,28,1,6,2,30,1,13,2,9,2,6,1,28,2,30,2,28,1,30,1,28,2,6,1,30,1,28,73,30,2,28,2,30,1,28,2,29,1,28,1,6,1,28,1,30,1,6,1,28,2,29,1,7,1,6,2,30,1,29,1,13,1,28,1,6,1,30,1,7,1,30,3,28,3,30,1,28,2,30,1,28,2,6,2,28,1,6,2,7,1,28,1,8,1,6,1,30,1,13,1,30,1,7,1,8,1,24,1,6,3,13,1,7,1,28,1,6,1,28,1,6,2,28,1,7,1,13,1,6,4,30,1,6,2,28,1,6,1,28,1,30,1,6,1,28,1,30,1,6,2,28,2,30,3,28,1,30,1,28,3,13,1,28,2,30,1,28,1,30,6,29,1,30,2,7,1,13,1,6,1,7,1,13,3,8,2,13,1,7,1,9,1,13,1,10,1,9,1,10,1,17,1,12,2,17,1,10,1,30,1,28,1,30,1,28,2,30,2,29,1,7,1,13,1,6,2,28,4,8,2,13,1,12,1,11,3,9,1,12,1,10,1,12,2,17,2,9,1,12,1,10,1,24,1,25,1,26,1,25,1,27,2,29,1,26,1,29,1,27,1,25,1,29,2,8,1,25,1,10,1,8,1,24,1,12,1,10,1,12,1,17,2,10,1,17,2,12,3,11,1,17,2,9,1,11,1,17,1,8,1,12,1,9,1,16,1,17,3,16,1,17,10,9,1,28,1,7,2,29,1,13,1,29,1,8,2,13,2,9,2,17,1,11,2,10,2,11,1,10,1,11,1,10,1,9,1,12,1,9,2,13,1,8,1,13,2,8,1,13,2,9,2,8,1,9,1,16,1,17,2,16,1,17,1,16,1,11,1,16,5,17,1,16,2,11,1,17,1,16,6,11,2,16,1,17,1,9,2,13,1,6,1,8,1,6,1,7,3,13,2,6,1,13,2,6,1,8,1,13,1,29,1,8,1,13,1,7,1,6,1,8,1,13,1,6,1,8,2,13,3,7,1,13,2,7,1,9,1,13,4,8,2,24,1,7,1,9,1,24,1,13,1,6,2,24,1,8,1,13,3,24,1,8,1,9,1,24,1,12,1,8,1,10,2,9,2,13,1,24,1,8,1,24,1,9,1,24,2,8,1,9,2,13,1,8,2,10,1,8,1,11,1,10,1,9,2,17,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,16,1,9,2,11,1,9,1,16,1,11,2,16,1,11,1,17,1,16,1,11,3,16,1,9,1,11,3,17,1,11,2,17,12,16,1,17,11,16,1,17,9,12,1,17,1,11,2,10,1,8,1,9,1,17,2,9,1,12,1,11,1,29,1,13,1,7,1,13,1,7,1,13,1,8,1,10,1,11,1,10,1,17,1,12,2,17,3,12,1,17,30,12,1,17,8,10,1,17,7,9,1,24,1,10,1,8,1,24,4,9,2,24,1,10,1,12,1,8,1,24,2,10,1,13,1,12,1,10,2,24,2,9,1,24,1,12,1,8,1,10,1,9,1,10,1,24,2,10,2,17,1,12,2,17,1,9,1,17,1,12,1,17,8,12,1,17,1,12,1,17,3,12,2,17,10,12,1,17,13,12,2,17,51,11,1,12,1,11,1,9,1,5,35,13,1,28,10,30,1,14,1,17,4,9,1,24,1,13,1,7,1,6,2,28,1,29,1,6,1,7,1,8,1,17,3,8,1,28,5,13,1,17,1,13,1,28,1,30,1,28,8,30,1,28,10,}, {28,3,30,1,28,16,6,1,29,1,13,2,8,1,17,1,12,1,11,1,16,1,17,2,11,1,6,1,7,1,13,1,30,1,13,1,30,1,13,1,9,1,17,2,11,1,10,1,17,1,12,2,8,1,9,1,13,1,7,1,28,1,12,1,10,1,13,1,8,1,13,1,7,1,6,1,24,1,10,1,12,1,24,1,7,2,6,1,7,1,29,1,7,1,29,1,6,1,11,1,17,1,12,1,9,1,8,1,9,1,8,1,9,1,11,1,24,1,7,1,29,1,30,2,28,1,30,1,28,1,30,1,6,2,30,1,6,1,28,1,30,1,6,2,28,2,6,1,30,1,29,3,6,2,29,1,6,1,10,1,13,1,9,1,15,1,17,1,14,1,24,1,8,1,6,2,30,1,6,1,30,1,8,1,16,1,17,3,9,1,13,2,29,1,13,1,28,1,6,2,30,1,13,2,17,4,9,1,28,2,30,1,28,8,30,1,28,3,6,1,5,1131,6,1,28,11,30,2,28,1,30,1,29,1,8,1,13,1,9,3,17,1,10,1,9,1,6,1,30,1,13,1,11,1,17,3,12,2,9,1,17,1,8,1,9,1,17,5,10,1,12,1,24,1,10,1,24,1,12,1,24,2,13,1,8,1,24,2,25,2,27,1,25,1,27,1,25,1,27,1,8,1,17,1,24,1,7,1,8,1,17,1,12,1,17,1,10,1,12,1,9,1,24,1,9,3,10,1,6,1,13,2,7,1,30,2,12,2,17,4,12,1,16,1,17,8,11,1,17,1,13,1,28,2,6,1,8,1,10,1,12,2,6,1,28,2,6,1,9,1,29,1,28,3,12,1,13,1,6,1,7,1,28,9,30,1,27,1,24,6,12,1,10,1,12,1,17,1,12,1,17,2,10,2,12,3,10,1,12,3,9,1,10,1,11,1,9,1,10,1,9,4,8,1,13,2,8,1,13,2,6,1,13,4,8,1,9,1,13,1,9,1,11,2,9,2,11,1,9,3,13,9,9,1,13,1,11,1,13,1,16,1,6,1,13,1,11,1,9,1,11,1,9,2,11,1,9,4,11,1,9,2,16,1,11,1,16,1,11,1,8,1,17,1,11,1,17,1,11,2,10,1,11,1,9,1,8,1,9,1,11,4,16,4,17,3,16,1,17,5,16,4,11,1,9,1,16,2,11,1,16,2,17,1,16,3,17,11,11,1,9,1,11,1,16,1,11,1,9,1,7,1,30,1,28,1,6,1,28,4,6,1,28,1,30,2,13,2,6,2,28,2,30,1,28,1,30,1,13,1,28,1,30,2,28,76,30,1,28,1,30,1,6,1,28,1,13,1,6,1,28,1,6,1,29,3,6,4,30,1,6,1,30,2,6,1,7,1,28,1,7,1,28,1,29,1,6,3,30,1,28,2,30,1,29,1,30,1,28,1,30,2,6,1,28,2,6,1,30,1,6,1,28,1,6,2,13,1,6,1,7,2,8,1,6,1,13,2,7,2,6,1,29,1,13,3,7,1,29,1,13,1,6,2,30,1,6,1,28,1,6,1,7,1,30,1,6,1,30,1,28,1,30,2,6,1,13,1,30,1,29,1,28,1,29,1,28,1,6,1,28,1,6,2,28,1,29,1,6,1,28,1,7,1,30,2,29,1,30,4,28,1,29,1,28,1,29,1,13,4,8,1,13,1,6,1,13,2,7,1,9,4,11,1,10,1,17,2,11,1,12,2,17,1,30,1,28,5,30,1,28,1,13,1,11,1,12,1,8,1,13,1,7,2,8,1,10,1,17,4,10,1,9,2,11,1,9,2,17,3,12,1,9,1,10,2,8,2,25,1,27,3,25,1,27,1,26,1,25,1,8,2,24,1,8,2,12,2,9,1,17,2,10,1,24,1,17,2,10,1,12,1,17,2,11,1,17,2,11,1,12,1,17,2,11,1,9,2,17,4,12,2,9,1,11,1,16,1,17,5,13,1,7,1,6,2,13,1,6,1,13,1,7,1,24,1,9,3,17,2,16,1,17,1,16,1,11,1,12,1,11,1,9,1,11,1,9,2,8,1,13,1,24,1,13,2,7,1,13,2,9,1,13,1,9,1,8,1,9,1,10,1,16,1,11,1,17,1,16,3,17,2,16,3,11,1,16,1,11,1,16,2,17,1,16,2,17,3,16,2,10,1,17,1,9,1,13,2,6,1,7,1,6,1,13,1,6,1,29,1,6,1,7,1,13,2,6,1,7,1,8,1,30,1,13,1,7,1,13,2,29,1,13,1,24,1,13,1,8,1,13,2,29,1,13,1,8,1,7,1,13,1,24,1,6,1,13,1,10,1,13,2,8,1,9,1,24,1,13,1,9,1,8,1,7,1,24,1,13,1,24,1,13,1,7,1,8,3,24,1,9,1,24,2,8,4,9,2,6,1,8,1,9,1,24,1,9,1,24,1,8,1,9,1,10,1,8,2,24,1,10,2,9,2,8,1,12,1,10,1,11,2,9,1,11,5,16,1,17,1,11,2,16,1,11,1,16,3,9,1,11,1,16,4,10,1,11,1,9,1,17,22,16,1,17,2,16,1,17,8,12,1,11,1,17,2,10,1,17,1,11,1,17,1,11,1,10,2,17,2,12,1,8,2,10,1,13,3,24,1,6,1,8,1,6,1,9,1,10,1,8,1,10,1,17,2,12,1,10,1,17,11,12,1,17,16,12,1,17,6,12,1,17,7,9,1,12,1,10,1,24,1,8,4,24,2,9,2,13,1,12,1,24,1,9,1,8,1,11,1,24,1,13,1,8,2,9,2,8,4,9,1,24,1,10,1,12,2,10,1,12,1,9,1,24,1,12,1,10,2,17,2,12,2,17,3,12,1,17,2,10,1,17,2,12,1,17,2,11,1,17,2,12,1,17,3,12,1,17,24,12,1,17,3,12,1,17,45,11,2,9,2,5,36,13,1,28,10,13,1,14,2,17,3,10,1,12,1,13,1,7,1,13,1,6,1,29,1,30,1,29,1,8,1,15,1,11,1,17,2,13,1,28,5,13,1,17,1,7,1,28,1,29,1,30,1,6,1,29,1,28,16,}, {28,3,6,1,28,16,30,1,29,1,6,1,13,1,8,1,12,1,9,1,12,1,16,1,14,1,17,1,10,1,24,1,13,1,6,3,29,1,9,1,11,1,17,2,9,1,10,1,17,1,10,1,8,1,10,1,13,2,7,1,28,1,8,1,24,1,13,1,6,1,13,3,9,2,10,1,9,1,24,1,30,1,6,4,29,1,6,1,15,1,17,1,9,2,13,1,7,1,9,1,24,1,11,1,13,2,29,1,30,1,28,1,29,1,28,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,29,1,8,2,7,1,13,1,30,1,28,1,30,2,6,2,7,1,8,1,24,1,10,1,15,2,14,1,9,1,7,1,30,1,6,1,7,1,13,1,7,1,13,1,17,4,13,2,6,1,13,1,6,1,7,1,6,2,30,1,13,1,8,1,12,1,17,1,14,1,17,1,8,1,28,15,13,1,5,1130,33,1,30,1,28,4,30,1,28,4,30,1,28,1,30,1,28,2,7,1,6,1,13,1,7,1,12,1,11,1,8,1,17,1,9,1,13,1,6,1,9,1,17,2,12,1,17,1,12,1,11,1,9,1,12,2,8,1,17,5,8,1,13,1,8,1,13,1,17,2,10,1,24,1,25,3,27,1,8,1,12,1,24,1,30,1,25,1,27,1,25,1,8,1,25,1,17,1,26,1,24,1,25,1,8,2,17,1,12,2,9,1,10,1,12,1,9,1,11,1,10,1,6,1,8,1,7,1,28,2,30,1,13,1,8,1,12,2,24,1,10,1,8,4,9,1,17,8,28,2,30,1,7,1,8,1,9,1,12,1,8,1,28,2,30,1,7,1,6,1,28,3,24,1,10,1,7,1,6,1,28,9,27,1,26,1,8,1,25,1,12,1,24,2,10,1,24,1,12,3,17,1,12,3,17,2,10,2,17,1,12,1,17,2,24,1,17,1,9,1,10,1,11,3,13,1,8,1,9,1,13,5,6,1,13,4,8,1,9,1,13,1,9,1,16,1,9,2,16,1,11,1,16,1,9,1,16,1,9,5,11,1,13,1,9,2,13,1,9,1,8,1,9,2,13,1,9,1,13,1,9,3,30,1,13,1,9,1,13,1,9,2,13,1,11,1,16,4,11,1,16,2,17,2,10,1,9,3,10,1,11,1,9,1,13,1,9,1,16,1,10,1,16,5,17,1,16,3,17,5,16,3,11,3,16,2,17,2,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,4,16,2,17,3,11,1,6,1,13,1,6,1,30,1,28,7,30,1,6,1,30,2,6,1,13,1,6,1,29,1,30,2,28,1,30,1,29,1,30,2,28,75,6,1,28,4,30,1,28,2,7,1,30,1,29,1,28,1,13,1,30,2,29,2,7,1,29,1,6,2,28,1,30,1,13,1,28,1,30,3,6,1,30,1,28,1,30,1,29,1,30,1,29,1,30,2,6,1,29,1,30,1,6,1,30,1,6,2,7,1,29,1,13,1,6,2,13,1,6,3,30,1,6,1,8,1,13,1,6,1,13,1,7,1,6,2,30,1,6,1,30,4,6,1,28,1,13,1,6,2,29,1,30,2,28,1,29,1,30,1,7,1,30,1,29,1,6,1,29,1,6,1,28,2,7,1,28,1,30,1,28,3,29,1,28,2,29,1,6,1,28,1,7,1,30,1,6,2,30,2,7,1,13,5,8,1,13,3,9,1,8,1,9,3,11,1,9,1,11,1,12,2,11,1,12,1,17,2,6,1,28,3,30,1,28,3,30,1,6,3,24,1,8,1,9,1,11,1,12,1,17,5,11,1,10,1,9,1,17,1,12,1,17,4,9,1,10,1,24,1,10,1,8,1,25,2,26,1,25,3,8,1,25,2,24,1,12,1,24,1,12,1,24,1,10,1,12,1,17,2,11,1,12,1,17,1,11,1,12,1,17,2,9,1,12,1,11,2,12,4,17,2,11,1,17,5,16,1,9,1,16,1,17,5,8,1,6,1,8,1,6,1,7,2,8,2,9,3,11,1,17,6,11,2,10,1,9,1,8,1,13,3,6,1,8,1,13,2,6,1,13,1,8,2,13,1,8,1,9,5,11,1,16,1,17,2,16,1,17,1,11,1,17,2,11,1,16,2,11,1,16,1,17,2,16,1,17,1,16,1,17,2,11,1,17,2,9,1,24,1,13,1,6,1,29,1,7,2,6,2,7,1,13,1,7,1,6,1,13,1,7,1,6,1,7,1,6,1,29,1,13,1,8,1,7,2,13,2,8,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,7,1,13,2,8,1,13,1,8,1,9,1,8,1,24,1,8,3,6,2,25,1,8,1,6,2,8,1,24,2,8,1,13,1,9,2,8,1,9,1,10,1,13,1,8,2,13,1,24,2,13,1,8,1,9,1,24,1,8,1,24,1,8,2,24,1,9,1,11,1,10,1,12,1,9,1,10,2,12,1,11,2,10,1,9,1,11,5,9,1,16,1,11,1,16,1,11,1,16,2,11,1,10,1,16,2,11,1,16,1,11,2,17,2,11,2,16,3,17,7,11,1,17,2,16,1,17,5,11,1,17,15,11,1,17,1,12,2,11,1,12,1,9,1,11,1,17,1,12,2,9,1,11,2,13,1,7,1,13,1,7,1,13,4,10,1,8,1,9,1,12,2,10,1,17,1,11,1,17,7,12,1,17,1,11,1,17,4,12,1,17,13,12,1,17,6,12,1,17,3,10,1,17,1,11,1,10,1,24,1,8,2,13,1,8,1,13,1,6,1,8,1,24,1,12,1,24,1,13,1,9,1,7,1,10,1,24,1,9,2,7,1,8,2,13,1,24,2,9,1,10,2,11,1,10,2,17,1,12,1,17,1,9,1,24,1,17,1,10,1,17,2,10,1,12,1,17,1,12,2,17,3,12,2,17,3,12,1,17,1,12,2,17,2,12,2,17,21,12,1,17,54,9,2,10,1,9,1,5,36,13,1,28,11,14,2,17,3,11,1,8,1,13,1,6,1,8,1,7,2,29,1,6,1,8,1,12,1,11,1,17,1,11,1,9,1,28,4,29,1,9,1,16,1,13,1,7,1,6,3,28,17,}, {28,3,29,1,6,1,28,16,30,1,28,1,13,1,8,1,17,1,11,1,12,1,17,1,16,1,17,1,16,1,8,1,13,2,8,1,13,1,7,2,17,2,16,3,13,1,9,1,10,1,9,1,6,1,28,1,6,2,8,1,9,1,6,3,29,1,6,1,8,1,15,1,11,1,12,1,7,1,30,1,29,1,6,2,7,1,6,2,10,1,12,1,10,1,9,1,6,1,24,2,9,1,10,1,8,1,30,1,6,1,29,2,30,1,6,1,30,1,29,1,6,2,30,1,29,1,30,1,6,1,28,1,6,1,28,2,6,1,29,1,6,1,28,1,6,1,30,1,6,1,7,1,13,1,24,1,9,1,24,1,15,1,14,2,10,1,6,1,13,1,6,1,8,1,7,1,29,1,8,1,11,1,12,1,17,1,9,3,8,1,29,1,7,1,6,2,13,1,6,1,7,1,9,1,11,1,17,2,14,1,9,1,30,1,28,2,30,1,28,6,30,2,28,3,13,1,5,1130,28,6,30,1,28,1,30,1,28,2,7,1,29,1,28,2,30,1,6,1,30,1,8,1,6,1,9,1,17,1,10,1,9,1,11,1,13,1,30,1,17,1,12,2,8,1,24,1,12,1,11,1,24,1,17,1,12,1,11,1,17,3,12,1,17,1,13,2,9,1,12,1,17,1,12,1,25,7,29,1,27,1,25,1,26,1,27,1,25,1,27,1,25,1,17,1,24,2,8,1,29,1,8,1,17,1,12,3,17,1,10,1,17,1,9,1,12,1,8,1,13,1,6,1,28,1,29,1,6,1,28,2,29,1,13,1,8,2,13,2,29,1,8,1,6,1,9,1,17,7,28,4,8,1,24,2,8,1,6,1,28,2,29,1,6,1,28,4,24,1,13,1,6,1,28,10,25,1,12,1,24,6,17,1,12,1,10,1,17,1,12,1,17,1,12,1,10,2,12,2,10,2,12,1,9,1,12,1,11,1,12,2,11,2,16,1,9,1,11,1,9,2,13,12,9,2,11,2,16,1,11,1,16,1,11,1,16,2,17,1,9,1,11,1,16,1,11,4,9,2,16,1,9,2,8,1,30,1,9,2,13,1,9,3,13,5,9,2,11,1,9,1,11,1,17,1,11,1,16,4,10,1,16,1,9,2,11,1,13,1,11,1,9,1,16,1,11,2,16,4,17,2,16,1,17,1,16,7,17,2,16,3,11,1,16,1,17,1,16,2,17,11,11,1,12,1,17,1,13,3,6,1,30,3,29,1,28,5,30,1,6,3,13,1,6,1,8,1,30,2,29,1,28,1,30,2,6,1,28,1,30,1,28,77,29,1,28,2,30,1,28,1,29,1,6,1,30,1,6,1,30,1,7,1,30,1,13,1,7,1,30,1,28,1,30,1,28,1,13,1,8,1,7,1,6,3,28,1,30,2,13,1,28,2,29,1,30,1,6,1,28,1,30,1,6,1,28,1,29,1,30,1,6,1,30,1,6,1,7,1,6,1,7,1,30,2,7,1,30,1,13,1,6,2,7,1,13,2,6,1,30,1,13,1,7,1,6,1,30,1,6,3,30,1,7,1,30,1,13,1,6,1,30,1,7,1,30,2,28,1,6,2,28,1,13,1,6,1,7,1,30,2,7,1,28,1,30,1,7,1,28,3,29,1,28,1,30,1,28,2,6,1,30,1,29,1,6,1,30,2,6,1,30,1,7,1,6,1,13,3,9,1,13,3,8,1,13,2,8,1,10,1,9,1,12,1,11,1,17,3,10,1,11,1,17,1,11,1,12,1,11,1,28,11,29,1,9,1,17,1,12,1,17,4,16,1,12,1,17,2,9,1,17,1,10,1,17,3,12,1,10,1,12,1,24,1,10,1,8,1,24,1,27,2,25,1,8,2,25,1,8,2,13,1,24,2,12,1,10,1,12,1,17,2,12,1,9,1,11,1,10,1,11,1,17,1,24,1,12,1,17,2,8,1,17,1,12,1,17,3,12,2,10,1,17,4,16,1,17,2,11,1,17,5,10,1,13,1,6,1,13,3,24,1,8,1,13,1,11,2,16,1,17,7,9,2,8,1,24,1,7,1,8,2,13,6,6,1,13,2,11,1,8,1,13,1,10,1,8,1,9,4,17,2,16,1,17,1,16,5,11,1,16,1,17,1,11,1,16,4,17,1,16,1,11,1,17,1,11,1,9,1,13,1,7,1,13,1,7,2,6,3,7,4,13,1,7,2,6,1,13,1,6,1,7,1,6,2,8,1,7,1,13,2,7,1,13,1,7,1,13,2,8,1,7,1,24,1,13,1,8,2,9,1,24,1,13,2,24,1,8,1,6,1,25,1,6,1,8,1,25,3,8,2,7,1,10,1,24,1,13,1,8,1,13,2,9,1,24,1,7,1,6,1,8,1,13,2,8,1,13,3,8,1,13,1,8,1,10,1,8,1,9,1,11,1,9,2,10,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,17,1,10,1,16,1,11,2,9,2,11,1,16,3,11,1,16,1,11,1,16,1,11,2,17,1,9,1,10,1,11,3,16,1,17,1,11,1,17,2,16,1,17,9,11,1,17,16,12,1,17,5,12,4,10,1,17,2,11,1,17,1,8,1,9,3,8,1,13,1,7,1,13,5,11,1,24,1,9,2,12,1,17,3,11,1,17,6,12,1,17,4,12,2,17,8,12,1,17,1,10,1,17,2,10,1,17,9,9,1,13,3,9,1,8,1,24,1,13,1,24,3,11,1,9,1,8,1,24,2,9,1,8,1,24,2,8,1,7,2,13,2,24,2,10,2,12,1,9,1,11,1,12,1,17,2,12,2,17,3,12,1,17,2,12,1,17,1,12,1,17,10,12,1,17,1,12,2,17,22,12,1,17,6,11,1,17,48,11,1,12,1,9,1,8,1,13,2,5,36,13,1,28,10,30,1,14,2,16,2,17,1,10,1,9,1,6,1,13,4,7,1,13,1,8,1,16,1,11,1,17,2,8,1,28,5,8,1,17,1,6,2,28,1,30,2,28,17,}, {28,4,30,1,28,16,13,1,30,1,28,1,6,1,9,1,17,1,16,1,17,3,12,1,9,1,13,1,8,2,13,2,9,1,16,1,14,2,9,1,16,1,24,1,8,1,9,1,7,2,28,1,7,1,6,1,10,1,8,2,30,3,6,1,13,1,15,1,17,2,8,1,6,4,7,1,6,1,13,1,11,1,17,1,15,1,10,1,7,1,13,1,24,1,9,1,15,1,9,1,6,2,28,1,6,1,7,1,6,1,28,1,6,1,28,1,30,4,28,2,6,3,29,1,7,1,28,1,6,1,28,1,30,2,6,2,13,2,16,1,17,1,14,2,15,1,6,1,7,2,6,1,30,1,6,2,17,2,12,1,9,2,8,1,24,1,6,2,29,1,13,1,7,1,13,1,8,1,9,1,24,1,16,1,17,1,14,1,8,1,6,1,28,9,30,1,6,1,28,3,13,1,5,1129,28,8,30,1,28,1,30,1,28,2,6,1,30,3,7,1,13,3,17,1,11,1,10,1,11,1,10,1,6,1,10,1,12,1,24,1,13,1,24,2,8,1,13,1,9,1,8,2,9,1,17,5,13,1,8,1,9,1,12,1,17,1,10,1,25,1,8,2,24,1,25,1,24,1,25,1,27,1,26,3,24,1,25,2,29,1,12,1,25,1,26,1,8,2,7,1,13,1,12,1,17,1,10,1,12,1,17,2,12,1,10,1,13,1,7,1,28,1,6,2,28,4,7,1,8,1,6,4,8,1,6,1,7,1,9,1,17,6,6,1,28,3,6,1,13,1,6,1,13,1,30,1,28,9,13,1,6,1,28,9,27,1,25,1,24,1,8,1,24,1,25,2,24,1,8,1,10,4,12,2,10,1,11,1,12,1,11,1,17,1,9,1,12,2,11,1,9,1,17,1,11,3,10,1,11,1,16,1,9,2,8,1,13,1,9,1,7,1,13,2,6,1,13,7,9,1,13,2,9,2,11,1,16,2,11,1,16,2,11,1,17,1,11,4,9,1,16,1,11,1,9,1,16,1,13,1,6,1,13,1,6,2,13,3,9,3,13,3,9,1,16,1,9,1,16,1,9,1,16,2,17,1,16,2,11,1,13,1,9,1,13,3,9,1,13,1,11,2,16,1,17,1,16,1,17,1,16,3,17,1,16,1,17,1,16,2,17,1,16,3,17,2,16,2,17,4,16,1,17,11,16,1,17,1,12,1,9,1,6,2,13,1,7,1,6,1,13,1,30,2,28,1,30,3,6,1,13,3,30,1,6,1,13,1,9,1,6,1,13,1,30,3,28,85,6,2,13,1,29,2,13,1,6,1,30,1,13,1,29,1,7,1,13,1,28,1,6,2,11,1,30,1,6,1,7,2,6,1,13,1,28,1,13,1,29,1,6,1,29,1,28,2,30,1,28,1,13,1,30,1,6,1,30,2,6,2,13,1,7,1,6,5,7,1,30,1,13,1,7,1,6,1,29,1,13,2,6,2,13,1,6,7,13,2,6,1,30,2,13,2,6,1,30,2,13,1,30,1,6,1,29,1,6,1,13,1,30,1,13,1,30,6,29,1,30,1,6,1,30,1,28,2,13,1,30,1,7,1,6,1,30,1,9,1,28,1,8,1,7,1,13,5,6,1,8,1,9,1,10,1,11,3,10,1,12,1,11,2,12,1,11,1,12,1,11,1,10,1,9,1,29,1,28,12,13,1,12,1,17,3,12,1,17,3,12,1,17,4,12,1,17,1,10,1,12,2,10,2,24,4,8,1,25,2,8,2,24,2,10,1,13,1,24,1,17,2,12,1,17,1,12,2,10,1,17,2,11,1,24,1,12,1,11,1,9,1,11,2,9,1,12,1,17,2,10,1,17,1,9,1,17,7,16,1,17,5,13,1,7,1,13,3,8,1,9,1,10,1,9,1,16,1,17,8,7,1,13,1,9,1,13,1,24,1,13,3,8,1,7,1,8,1,13,1,8,2,13,1,8,1,13,1,11,1,8,1,9,1,8,1,9,1,8,1,9,2,13,1,11,2,17,4,16,1,17,1,16,2,11,1,16,1,17,1,11,1,16,3,11,3,17,1,9,1,8,2,13,4,6,1,13,1,7,2,6,1,7,1,8,1,6,1,8,1,7,1,13,2,7,1,6,1,29,1,6,2,13,1,24,1,7,2,13,1,8,1,13,1,7,1,6,1,13,4,8,1,24,1,13,1,7,1,24,1,10,1,26,1,25,1,6,1,26,1,29,1,6,1,26,1,29,1,26,1,8,1,29,1,10,1,24,1,8,2,13,1,8,2,13,1,7,1,8,1,7,1,25,1,24,1,8,1,24,2,8,2,24,1,10,1,24,4,9,1,11,1,9,2,11,1,16,1,11,3,10,1,16,2,11,1,10,1,17,1,9,1,17,1,16,1,11,1,17,1,11,1,16,2,11,2,16,2,11,1,17,1,16,3,11,3,17,2,16,2,17,6,16,2,17,1,16,1,17,20,12,1,17,2,10,1,11,3,10,1,11,1,17,1,10,1,12,1,17,1,8,1,9,2,7,1,13,1,7,2,13,2,7,1,13,2,24,1,8,1,12,2,10,2,12,2,17,2,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,9,12,2,17,6,12,1,17,1,10,2,13,2,12,1,8,2,13,2,8,2,13,2,24,2,9,2,24,1,8,1,12,1,24,1,8,3,13,2,10,2,12,1,17,1,24,1,17,24,11,1,17,3,12,1,17,4,12,1,17,76,12,1,24,1,7,3,5,36,13,1,28,10,13,1,14,1,16,1,17,1,16,1,17,1,11,1,16,1,10,1,6,1,13,1,6,3,7,1,9,1,11,1,12,1,17,1,12,1,8,1,28,5,13,1,17,1,13,1,30,1,6,1,28,2,29,1,28,16,}, {28,2,30,1,28,15,30,1,28,2,6,1,30,2,13,1,17,6,14,1,13,1,8,1,6,1,7,1,13,1,7,1,8,1,16,1,17,1,16,1,12,1,8,1,24,1,13,1,24,1,8,1,7,1,6,2,30,1,9,1,10,1,7,1,29,1,30,1,29,1,30,1,9,1,12,1,11,1,17,1,9,1,13,1,29,1,6,3,29,1,13,1,24,1,15,1,12,1,13,2,8,1,13,1,12,1,15,1,9,1,6,3,13,2,28,2,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,6,1,29,1,28,1,6,1,28,1,29,1,6,4,13,3,9,1,17,1,14,2,9,1,6,1,13,3,6,1,29,1,7,1,9,1,17,1,16,1,9,1,24,2,8,1,29,1,6,2,13,1,29,1,8,1,13,1,8,2,24,1,9,1,12,1,24,1,28,11,6,1,28,3,13,1,5,1128,30,1,28,16,6,1,13,3,10,1,17,1,11,2,10,1,11,1,17,2,8,1,9,1,8,1,9,2,8,1,9,1,8,1,17,2,10,1,17,5,13,2,24,1,10,2,8,1,25,1,27,1,25,1,24,1,8,2,17,1,12,1,30,1,27,2,25,3,27,1,25,1,26,1,25,1,27,1,26,1,25,1,6,1,17,3,12,1,17,1,12,4,6,3,28,1,29,1,28,2,6,1,13,1,8,1,6,1,24,1,12,1,10,2,9,1,13,2,17,6,28,4,30,1,7,1,13,2,28,10,30,1,6,1,28,9,30,1,25,2,8,2,25,1,8,1,26,1,25,1,8,1,25,1,10,1,12,1,24,1,12,1,10,1,12,2,10,1,12,1,17,1,12,1,10,2,13,1,16,1,10,1,11,1,17,2,16,1,11,1,16,1,17,1,9,1,13,10,9,1,13,1,9,5,13,1,9,3,16,1,17,1,11,2,16,1,11,4,9,1,13,1,11,1,13,1,9,1,13,3,9,1,13,1,11,1,13,1,9,2,13,4,9,5,16,1,8,1,11,3,9,4,13,3,11,1,9,1,16,6,17,1,16,3,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,11,1,16,1,11,1,17,4,16,1,17,6,16,1,17,1,11,1,17,1,11,1,13,3,8,1,7,2,13,1,7,1,30,1,13,1,30,1,28,1,13,1,6,1,13,1,30,1,13,5,30,1,13,1,28,1,30,1,28,1,30,2,28,80,30,1,29,2,6,1,30,1,28,1,30,1,6,2,29,2,7,1,6,1,28,1,13,1,29,1,30,1,29,1,6,1,28,1,30,1,6,1,30,4,6,1,28,1,30,1,7,1,13,1,29,1,7,1,6,1,29,1,28,1,6,1,30,4,6,1,13,1,6,1,7,1,29,1,6,3,29,1,6,2,13,1,7,1,8,1,9,1,6,2,13,2,7,1,13,1,28,1,7,2,30,1,13,1,28,1,30,1,6,2,30,1,29,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,30,4,6,2,30,2,13,1,30,3,29,1,6,1,28,1,6,1,28,1,30,1,7,1,6,1,13,3,9,1,13,1,9,1,7,1,13,4,10,1,11,2,9,1,12,1,11,2,17,2,12,1,10,1,17,1,9,1,10,1,12,1,17,1,6,1,28,13,6,1,11,2,12,1,17,1,12,1,9,1,12,1,10,1,17,1,12,2,10,1,17,1,11,1,17,1,12,1,17,1,9,1,12,1,10,1,7,1,24,1,8,2,24,4,12,1,10,1,8,1,24,1,12,1,17,1,9,1,17,1,12,2,17,1,10,1,17,2,12,1,17,2,9,1,12,1,11,1,12,1,17,2,12,1,9,3,11,1,17,4,16,1,17,6,16,1,11,1,8,1,29,1,7,2,8,3,11,1,17,5,16,1,17,2,13,7,6,1,13,1,8,3,24,1,9,1,8,3,6,1,13,1,6,1,11,1,8,1,24,1,9,5,8,1,9,2,16,2,17,1,16,1,17,1,16,3,11,1,16,4,17,3,16,1,11,1,12,1,11,1,8,1,7,1,13,1,7,1,13,1,7,2,13,1,29,1,8,1,6,2,13,1,6,1,7,1,6,2,13,1,8,3,13,1,7,1,6,1,7,1,13,1,6,1,8,1,6,1,7,1,8,1,6,1,9,1,8,1,24,1,8,2,7,1,8,1,7,1,24,1,8,1,27,1,29,1,27,2,25,1,8,1,25,1,27,1,24,1,13,1,24,1,8,1,24,1,8,1,13,1,8,1,13,1,25,1,8,1,25,1,26,1,25,2,8,2,24,4,8,1,13,1,8,2,13,1,11,1,9,4,11,1,16,2,11,1,9,2,10,1,16,1,11,1,10,1,16,1,11,1,16,1,11,1,8,1,11,1,16,2,17,1,16,3,11,1,17,1,11,2,17,1,16,1,17,1,16,3,17,1,11,1,17,18,11,1,17,12,12,2,17,4,11,1,10,1,11,1,17,3,9,1,11,1,9,1,13,4,6,1,7,1,13,1,24,1,13,2,8,1,13,1,8,1,9,1,10,2,17,1,11,1,12,1,9,1,17,4,12,1,17,7,12,1,17,6,12,1,17,4,12,1,17,2,12,2,17,1,9,2,24,2,13,1,8,1,13,3,8,1,13,1,24,1,8,1,12,1,10,1,8,2,7,1,8,2,9,2,12,1,8,1,24,1,10,1,24,1,10,1,11,1,12,1,17,36,12,1,17,3,12,1,17,16,12,1,17,6,12,1,17,21,12,1,17,13,12,1,17,8,12,1,17,1,12,2,8,1,30,1,6,1,28,2,5,35,28,4,30,1,28,6,7,1,17,1,14,1,17,1,16,1,11,1,8,1,24,1,7,1,13,5,8,1,24,1,16,1,17,3,13,1,28,5,8,1,17,1,13,1,28,2,30,1,6,1,28,17,}, {28,1,29,1,28,18,6,1,29,3,13,1,17,1,12,1,17,4,14,1,9,1,7,1,6,1,13,3,9,1,16,1,17,2,11,1,13,1,12,1,9,1,13,1,24,1,13,1,6,1,29,1,6,1,24,2,8,1,6,1,29,1,28,1,30,1,8,1,10,1,12,1,17,1,15,1,9,1,28,1,13,1,8,1,29,1,13,1,24,1,17,1,14,1,9,1,11,1,8,1,7,1,6,1,24,1,17,1,11,1,8,2,6,1,28,1,6,1,30,1,28,1,30,2,28,1,30,1,6,1,30,2,28,2,30,4,6,1,13,1,29,1,6,1,29,1,28,1,8,1,13,1,8,1,12,1,16,1,14,2,10,1,13,1,6,1,13,2,6,1,7,1,30,1,11,1,10,1,16,1,8,1,13,1,8,2,28,1,6,2,29,1,7,1,24,1,8,2,9,3,17,1,8,1,30,1,28,6,30,1,28,2,30,1,6,1,28,3,13,1,33,1,5,1126,28,4,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,2,8,1,6,1,13,1,7,1,13,1,8,1,17,1,11,2,9,1,10,2,17,2,24,1,8,1,10,1,13,1,8,2,17,3,11,1,17,5,8,3,10,1,17,1,8,2,25,2,24,1,8,3,12,1,6,1,25,2,26,1,29,1,30,1,25,1,27,1,25,2,26,1,8,1,25,1,12,2,17,4,11,1,12,1,17,1,24,1,9,1,24,1,28,4,8,1,29,1,13,1,30,1,24,1,17,3,12,1,17,1,12,1,17,1,16,1,17,5,7,1,28,4,29,1,13,1,29,1,28,10,29,1,7,1,30,1,28,8,26,2,24,1,8,1,25,3,8,1,29,1,8,2,24,1,8,1,24,2,9,1,10,1,9,1,11,1,10,1,17,2,11,2,16,1,11,1,17,1,11,1,13,1,9,4,13,2,9,1,13,1,9,1,13,2,9,1,13,4,11,1,13,1,9,1,13,3,6,1,13,3,9,1,13,1,16,1,9,1,16,1,11,2,9,2,11,1,9,1,11,1,9,2,13,3,9,2,13,1,9,1,13,2,11,1,13,2,9,2,11,1,9,1,13,2,9,1,13,2,9,1,11,1,9,2,7,1,13,1,9,1,13,3,9,1,13,1,9,2,13,1,11,1,16,1,9,1,16,2,17,4,16,1,17,4,16,1,17,1,16,1,9,2,11,1,17,13,16,1,17,1,16,1,9,1,16,1,9,1,8,1,13,1,7,1,13,2,30,3,29,1,6,2,13,2,6,1,13,3,6,1,7,1,13,2,28,1,30,2,6,1,28,78,30,2,28,2,30,1,6,1,28,1,30,1,6,1,30,1,6,2,7,1,6,1,29,1,13,1,7,1,13,1,29,1,7,1,30,1,6,1,13,1,30,1,6,1,30,2,6,1,30,1,6,2,28,1,29,1,6,1,28,1,30,1,6,1,30,2,6,2,29,1,6,1,30,1,13,1,7,1,13,2,6,1,7,1,13,1,29,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,30,1,13,1,29,1,6,1,28,1,6,1,7,1,13,1,28,1,6,3,28,1,6,1,29,1,6,1,29,2,6,3,13,1,7,2,29,1,13,1,6,4,13,1,6,1,30,2,28,5,7,1,8,1,13,1,6,1,13,2,7,1,8,2,13,4,8,1,13,2,10,1,9,2,12,1,10,1,11,2,10,1,17,1,9,1,12,1,11,1,17,1,11,1,12,1,17,1,12,1,13,1,28,13,29,1,13,1,10,2,11,1,9,1,10,1,12,1,9,1,10,1,11,1,10,3,9,2,12,1,17,1,12,2,24,2,8,1,24,2,8,1,24,1,10,1,24,2,9,1,10,1,17,1,9,1,17,1,12,1,10,2,12,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,10,1,17,2,9,2,17,1,11,1,10,1,17,7,16,1,17,5,9,1,13,5,9,2,11,1,16,1,11,1,17,4,9,1,13,1,9,1,8,1,13,2,8,1,24,1,13,1,8,1,7,1,8,1,24,2,8,1,9,1,8,1,9,1,7,1,6,2,7,1,13,1,9,1,8,1,24,1,8,1,9,5,8,1,9,2,10,1,16,1,17,1,16,1,17,1,16,2,17,1,11,1,17,2,16,1,11,2,17,1,11,3,9,1,13,2,7,1,13,1,7,1,13,1,7,1,6,3,7,1,13,1,6,2,7,1,13,1,29,1,13,2,6,1,7,1,13,1,7,2,13,1,6,1,24,1,7,1,8,3,13,1,8,1,7,1,24,1,8,1,13,1,8,1,25,2,8,1,29,1,26,1,27,1,29,1,27,1,25,1,27,2,8,1,25,4,8,2,25,1,24,1,8,2,27,1,8,1,25,1,27,1,25,2,8,3,24,2,12,1,9,1,24,1,9,2,10,1,9,1,11,1,12,1,10,1,11,2,17,1,11,1,9,1,17,1,16,1,11,2,16,1,11,2,17,1,16,4,11,2,17,1,16,1,11,1,16,1,17,1,11,1,10,1,16,2,11,1,17,7,16,1,17,27,11,2,12,3,17,1,12,1,11,1,10,1,17,4,12,1,10,2,9,1,8,1,13,1,7,1,13,1,6,2,13,4,9,1,8,3,12,1,10,1,11,1,10,1,11,1,12,1,17,2,12,1,17,1,12,1,17,4,12,1,17,2,12,1,17,2,12,1,17,5,12,1,17,1,12,2,9,1,12,1,10,1,24,1,8,1,13,1,8,1,13,1,7,1,8,1,13,1,8,1,24,1,7,1,10,1,8,1,24,2,13,1,8,2,9,1,8,1,10,2,24,1,8,1,24,1,12,1,11,1,17,3,12,1,17,27,12,1,17,13,12,1,17,14,12,1,17,1,12,2,17,13,12,1,17,35,11,1,12,2,9,1,8,1,13,1,7,1,6,2,33,1,5,33,28,11,8,1,14,1,17,2,16,1,17,2,24,1,10,1,9,1,8,1,13,1,24,1,13,1,10,1,9,1,24,1,11,1,17,1,12,1,6,1,28,5,24,1,17,1,6,1,28,1,30,1,28,2,6,1,28,16,}, {28,2,30,1,28,17,6,1,29,1,30,1,6,2,10,1,16,1,17,2,16,1,17,1,16,1,9,1,7,1,13,2,6,1,13,1,8,1,9,1,17,2,11,1,9,1,13,1,8,1,24,1,9,1,24,1,7,2,6,1,24,1,9,1,13,1,6,2,28,1,6,1,7,1,10,1,12,1,17,1,11,2,8,1,7,1,24,1,6,1,13,1,24,1,9,1,14,2,8,1,13,1,6,1,24,1,8,1,17,1,15,1,8,1,7,1,30,1,29,1,28,1,30,1,28,2,29,1,6,1,30,1,29,1,6,1,28,1,30,4,28,1,6,3,30,1,6,1,30,2,29,1,7,1,9,2,12,1,14,3,6,4,7,1,30,1,29,1,9,2,11,2,8,1,13,2,6,3,29,1,6,1,29,1,8,1,10,1,9,1,17,1,9,1,17,1,8,1,28,9,30,3,28,3,13,1,5,1126,13,1,28,9,29,1,28,1,29,1,28,1,6,1,30,1,28,1,7,1,29,1,13,3,8,1,13,1,17,1,12,1,10,1,9,2,12,1,10,1,8,1,24,1,6,1,9,1,10,1,9,1,12,2,17,3,13,1,17,5,8,1,24,1,8,1,24,1,12,1,27,1,25,1,8,1,24,1,12,2,24,1,10,1,24,1,6,1,26,1,29,1,25,1,30,1,27,2,25,2,27,1,25,2,17,1,12,1,17,2,9,1,12,1,17,2,12,2,10,1,9,1,7,2,6,1,13,1,6,2,30,1,24,1,17,2,12,2,17,3,12,1,17,6,6,1,28,4,6,1,8,1,28,2,29,1,28,18,30,1,29,1,24,1,25,1,24,2,8,1,25,3,7,1,6,1,13,1,24,2,9,1,10,1,17,1,12,1,17,3,11,2,10,1,11,1,16,1,8,1,13,2,28,1,30,2,13,5,11,1,9,3,13,6,30,1,28,2,6,1,13,2,30,1,6,1,30,1,6,1,9,1,11,1,9,2,16,1,11,1,13,3,9,3,13,3,11,1,13,6,6,1,9,1,13,3,6,1,13,3,6,1,13,1,9,2,13,1,6,2,28,1,13,3,9,1,13,2,9,1,13,2,9,1,11,1,16,7,17,7,16,1,17,1,9,2,17,9,16,2,17,1,16,1,11,1,17,2,9,1,16,1,11,2,17,1,7,1,13,1,29,1,6,4,13,2,6,1,13,3,6,2,9,1,13,1,9,1,6,1,30,2,6,1,28,1,6,1,28,77,30,2,28,4,6,1,30,1,6,2,30,1,29,2,6,1,29,1,7,1,28,1,7,1,13,1,29,1,6,1,28,1,8,1,6,2,30,3,6,1,30,3,6,1,29,1,28,1,30,1,7,1,29,2,7,1,28,1,6,1,7,1,30,2,13,1,30,1,6,1,7,1,30,1,8,1,7,3,6,1,7,3,30,1,13,1,29,1,6,2,13,1,6,1,30,1,6,1,29,1,6,1,13,1,8,1,30,1,13,1,6,1,7,3,13,1,7,1,13,1,6,1,13,1,7,1,8,1,6,2,13,2,6,1,28,4,6,1,28,1,13,3,8,1,13,2,8,1,13,1,8,1,13,2,7,1,13,2,30,1,13,1,9,2,17,1,11,4,17,13,9,1,28,13,30,1,13,1,24,1,17,1,12,1,11,1,12,1,10,2,12,1,9,1,12,9,13,1,12,1,8,1,24,1,8,1,24,3,8,1,17,1,12,1,9,1,17,1,24,1,9,1,17,1,9,1,17,1,9,1,12,1,17,1,12,1,17,1,12,2,17,2,10,1,17,1,10,1,12,3,11,1,8,1,17,9,16,1,17,2,12,1,17,1,8,1,6,1,8,1,13,3,8,1,11,2,16,2,17,2,11,1,8,1,13,2,8,1,13,1,7,1,13,1,7,1,13,2,24,1,13,1,8,1,9,1,24,4,13,1,29,1,6,1,7,1,6,1,29,1,8,1,13,1,8,1,24,1,8,3,9,3,13,1,9,1,8,1,11,2,17,11,11,2,12,1,10,1,8,1,13,1,9,1,6,2,7,2,6,1,7,1,6,1,24,1,13,1,6,1,13,1,6,1,7,1,13,2,29,1,13,1,29,1,13,1,6,2,7,1,6,2,13,1,8,1,24,1,6,1,7,1,24,1,13,1,9,1,24,1,13,1,7,1,30,3,28,1,30,1,26,1,27,1,30,2,29,1,28,1,25,3,26,1,25,1,27,2,26,1,25,1,30,2,25,1,27,1,25,1,29,1,25,4,8,1,24,1,8,1,24,1,13,1,24,1,9,1,8,1,9,3,11,1,10,1,16,1,17,1,11,1,10,1,17,1,12,1,9,1,16,1,11,1,9,1,10,1,11,2,16,4,17,1,16,3,9,1,11,3,16,3,11,2,16,2,17,2,16,1,17,11,16,1,17,17,12,1,11,1,17,1,12,1,17,4,11,1,10,1,12,1,17,4,12,1,9,1,8,2,13,3,6,1,13,2,6,1,13,2,7,1,13,1,24,1,7,1,8,1,9,1,8,1,9,1,24,2,10,2,17,4,11,1,17,2,11,1,17,1,12,1,17,1,11,1,17,2,11,2,17,3,12,1,17,1,10,4,8,1,24,1,8,1,13,1,8,1,7,1,24,1,8,1,13,1,8,1,13,1,29,2,8,2,9,2,24,1,9,2,24,1,12,1,10,1,12,1,10,1,17,2,10,1,17,1,12,2,17,21,12,1,17,2,12,1,17,3,12,1,17,5,12,1,17,1,12,1,17,6,12,1,17,1,12,2,17,1,12,1,17,49,12,1,17,8,12,1,17,1,11,2,10,2,9,1,10,1,13,1,8,1,7,1,28,2,33,1,5,32,28,11,9,1,16,2,11,1,17,1,16,1,12,1,24,2,6,1,13,1,8,1,13,2,24,1,9,1,10,1,17,2,11,1,28,6,13,1,12,1,30,1,28,1,29,1,28,19,}, {28,1,30,1,28,21,13,2,7,1,9,1,17,1,12,1,17,2,16,1,9,1,6,1,13,1,6,1,7,1,6,1,13,1,9,1,17,1,14,1,11,1,16,1,15,1,17,1,15,1,14,1,24,1,6,2,30,1,24,1,12,1,9,1,29,1,30,1,29,1,28,1,13,1,8,1,17,1,12,1,17,1,12,1,15,1,9,1,8,1,13,2,8,1,15,1,14,1,17,1,15,1,9,1,13,2,17,3,12,1,28,1,29,2,30,1,28,2,6,1,30,2,29,1,28,1,30,1,6,1,28,1,29,1,28,1,30,1,6,1,30,2,7,1,29,1,30,2,6,2,13,1,12,2,10,2,14,1,16,1,6,3,13,2,6,1,30,1,8,1,11,1,17,1,9,1,8,2,7,1,13,1,30,1,6,4,9,1,8,1,12,1,11,1,12,1,17,1,12,1,29,1,6,1,28,9,30,1,28,2,30,1,11,1,33,1,5,1125,28,5,6,1,28,8,30,1,28,1,7,3,13,2,8,1,13,1,8,1,10,1,11,2,9,2,24,2,8,1,13,1,9,2,11,1,10,1,24,1,12,1,17,3,13,1,17,6,24,1,13,1,24,1,17,1,6,1,24,2,13,2,10,2,9,1,12,1,24,1,6,1,28,2,29,1,30,1,28,1,25,2,8,3,12,1,17,3,9,3,17,2,9,1,24,1,13,3,12,2,7,1,29,1,7,1,12,1,10,1,13,2,11,1,12,1,11,1,12,1,17,1,16,1,17,5,30,1,28,4,7,1,6,2,29,1,30,1,28,9,29,1,27,1,30,1,29,1,28,3,30,1,27,1,26,2,25,1,24,2,8,1,25,4,13,1,6,1,7,1,13,1,8,1,24,1,11,2,8,1,11,1,10,1,12,1,11,1,9,3,30,3,6,1,13,4,6,1,13,2,9,2,11,1,9,1,13,1,8,1,9,1,13,1,6,1,28,3,30,1,28,1,30,1,28,1,13,1,6,1,30,2,6,1,13,3,11,1,13,2,9,3,8,1,9,1,10,1,9,1,13,2,8,1,13,1,9,1,13,5,9,1,13,4,6,1,30,1,13,3,9,1,13,1,6,2,28,1,6,1,28,1,30,2,13,2,30,1,9,1,13,2,9,1,13,1,11,2,16,2,11,1,16,1,9,1,11,2,16,3,17,4,16,2,17,3,16,1,17,4,16,3,10,1,16,1,11,1,17,1,16,1,17,2,10,1,11,2,6,3,13,2,6,1,13,1,6,1,13,3,6,1,13,3,9,1,13,2,28,3,30,1,28,82,30,1,28,2,6,1,13,1,30,2,13,2,6,1,13,1,6,2,13,1,7,1,29,1,13,1,7,1,13,2,29,1,7,1,6,1,29,1,7,1,28,1,29,1,6,1,30,3,29,1,28,2,6,1,30,1,13,1,29,1,30,1,28,1,6,1,7,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,30,1,7,1,13,1,30,1,6,2,7,1,13,1,6,1,29,1,6,1,7,1,6,1,30,1,13,1,30,1,6,1,13,1,29,1,28,1,29,1,7,1,28,1,6,2,7,1,6,1,13,1,6,1,13,1,30,1,6,1,7,2,30,2,7,2,29,1,6,2,29,1,6,2,13,2,8,1,9,1,13,1,8,1,13,1,9,1,8,1,13,4,9,3,12,1,17,2,12,2,17,3,11,1,17,5,11,1,17,5,9,1,28,11,29,1,7,1,13,1,24,1,9,1,12,1,17,1,12,1,17,1,9,2,12,1,9,1,10,1,9,1,12,1,9,1,12,2,10,2,17,1,10,2,24,2,12,1,24,1,12,1,10,1,12,1,8,1,24,1,17,1,12,1,10,1,17,4,11,1,12,1,17,1,9,1,17,1,12,1,11,1,12,1,9,1,12,1,10,1,11,1,12,1,10,1,9,1,12,1,11,1,17,12,9,1,30,1,13,1,7,1,29,1,7,1,8,1,9,1,11,1,16,1,17,2,16,1,9,2,8,2,13,1,8,1,13,1,8,1,24,1,13,2,8,1,7,1,8,1,24,1,13,1,24,1,8,2,7,1,13,1,6,1,13,2,7,2,6,1,13,1,9,2,8,1,10,1,9,1,24,1,8,1,9,1,10,1,9,2,11,1,8,1,11,2,17,1,11,1,17,1,16,1,17,4,11,1,16,1,17,1,10,1,9,1,8,1,13,2,6,1,8,1,7,1,6,2,7,2,6,2,13,2,29,1,13,1,6,1,13,1,30,1,13,1,7,1,6,1,29,1,7,1,29,1,6,1,8,2,6,1,13,2,7,1,24,1,13,1,8,2,7,1,29,1,25,1,29,3,28,1,25,1,27,1,25,1,28,1,27,2,29,1,27,1,29,1,27,2,26,1,29,2,27,3,25,1,30,1,26,1,27,1,25,3,8,1,6,1,24,4,8,3,9,1,24,1,8,1,11,1,9,1,10,1,11,1,16,2,12,1,17,3,10,2,12,1,9,2,16,2,11,1,16,3,11,1,17,1,11,2,17,1,16,1,17,1,11,1,10,1,17,2,16,3,17,36,12,1,17,1,12,1,11,1,17,1,11,1,17,4,12,1,17,1,10,2,8,1,13,2,6,1,13,4,6,2,13,1,7,1,8,1,10,1,9,1,24,1,9,1,10,1,9,1,12,5,11,1,12,2,17,7,12,1,17,2,12,2,17,1,24,1,12,1,10,2,24,1,13,1,8,1,7,1,13,1,8,1,13,1,7,1,13,4,8,1,10,1,11,1,10,1,24,1,12,1,10,4,12,1,17,1,10,1,12,1,17,2,12,1,17,1,12,1,17,29,12,1,17,3,12,1,17,1,12,1,17,2,12,2,17,1,12,1,17,2,10,1,17,9,11,1,17,3,11,1,17,1,10,1,12,2,10,1,12,1,10,1,17,4,10,1,17,2,12,1,17,36,12,1,17,1,11,2,9,1,8,1,9,1,10,1,8,1,13,2,28,2,30,1,5,31,28,11,13,1,17,1,16,3,11,2,24,1,8,1,13,2,8,1,13,2,9,2,11,1,10,1,9,1,11,1,30,1,28,5,9,1,12,1,28,1,6,1,29,1,6,1,28,18,}, {28,2,30,1,28,16,6,2,30,1,6,1,29,2,13,1,8,1,12,1,17,3,16,1,17,1,6,1,7,2,6,1,13,1,7,1,11,1,17,2,16,1,11,1,15,1,17,1,11,1,15,1,24,1,13,1,30,1,28,1,13,1,15,1,9,1,30,2,28,2,30,1,7,1,17,1,9,1,17,1,11,1,8,2,24,1,9,1,8,1,9,1,10,1,17,1,12,1,24,1,12,1,8,1,24,1,11,1,17,2,9,1,6,1,29,1,28,2,29,1,28,7,6,1,13,1,28,1,30,1,28,2,29,1,30,1,6,1,30,2,28,1,30,1,28,1,13,1,9,1,11,1,10,1,17,1,14,1,16,1,6,1,29,1,6,1,29,1,8,1,30,1,28,1,9,1,17,2,11,1,8,2,13,1,8,1,30,1,6,3,13,2,17,6,13,1,6,3,29,1,30,2,28,3,30,1,13,1,28,3,9,1,5,1125,28,6,30,1,29,1,28,2,6,1,7,1,28,4,6,1,28,1,8,1,13,2,7,1,8,1,13,2,8,1,10,1,12,2,11,1,12,1,9,1,8,1,13,1,8,2,12,1,17,1,9,1,17,3,12,1,11,2,17,4,11,1,9,1,8,2,17,1,8,1,30,2,7,1,29,1,28,1,9,1,24,1,12,1,24,2,13,1,6,1,29,2,27,1,25,3,24,2,10,1,12,1,17,1,10,1,13,1,10,1,9,1,10,1,17,2,16,1,9,1,8,1,9,1,30,1,28,2,6,1,17,2,11,1,9,1,17,1,10,1,12,3,11,1,17,2,10,1,17,1,16,1,17,1,30,1,28,4,6,2,30,1,29,1,28,13,30,3,29,1,28,1,25,1,26,1,25,1,8,1,24,1,25,2,8,1,25,2,8,1,13,2,7,1,6,1,8,1,13,1,7,1,8,6,13,2,6,1,30,1,7,1,6,3,13,1,6,1,13,2,30,1,6,1,28,2,6,1,30,1,13,2,7,1,6,1,28,2,6,1,28,1,6,3,30,2,28,1,30,1,6,2,13,4,9,1,13,1,9,4,13,1,9,1,13,2,6,1,13,3,9,2,13,1,6,2,30,2,6,1,13,1,30,1,13,1,11,1,28,1,6,1,7,1,9,1,13,1,30,1,28,1,30,2,28,1,30,1,28,2,6,1,13,1,28,1,6,1,30,1,28,1,6,2,13,1,9,2,16,3,11,2,16,3,17,1,16,1,17,4,16,1,17,1,16,1,17,1,16,2,17,1,16,1,11,2,9,2,11,2,17,1,11,2,17,3,11,1,9,2,13,1,8,1,13,4,11,1,13,1,8,1,13,4,8,1,13,1,6,1,28,1,29,1,28,1,30,1,28,83,30,3,7,1,30,3,29,1,7,1,30,1,7,1,6,1,13,1,7,4,6,4,13,1,6,1,30,4,6,1,13,1,6,1,30,1,6,1,7,1,6,1,7,2,6,2,29,1,7,1,30,1,7,1,30,1,6,2,8,1,29,1,13,2,7,1,30,1,13,1,6,1,7,1,6,1,13,1,29,1,13,2,6,1,13,1,30,1,6,2,30,1,6,1,30,1,13,1,30,1,6,1,7,1,13,1,7,1,13,1,6,1,7,2,13,1,28,1,7,1,6,1,28,1,13,2,30,1,6,1,7,1,28,1,13,5,9,1,13,1,9,3,13,1,8,1,7,1,13,3,9,1,12,1,17,5,11,1,17,4,12,1,17,11,10,1,30,1,28,3,29,1,30,1,28,4,6,1,24,1,10,1,9,1,12,1,17,3,12,1,9,1,10,2,9,1,12,2,10,1,9,2,24,1,12,1,17,1,10,1,8,1,24,1,10,1,24,1,12,1,9,1,12,1,8,1,10,1,24,1,9,1,12,1,11,1,17,1,12,2,17,1,12,1,17,1,12,1,17,3,12,1,17,1,11,1,17,1,10,2,12,2,9,1,10,1,9,2,11,1,17,13,6,1,29,1,13,2,8,2,9,1,12,1,17,1,11,2,12,1,9,1,7,1,6,1,8,5,13,1,7,1,13,2,24,1,8,1,13,1,8,2,13,1,29,1,8,1,13,1,7,1,13,1,6,1,7,1,30,1,6,2,24,1,13,1,8,1,9,2,10,1,9,2,10,1,8,1,10,1,9,1,10,1,9,2,11,1,16,1,17,4,16,1,17,1,16,3,11,1,17,1,9,2,7,1,13,1,6,1,13,1,7,1,6,1,13,2,7,2,29,1,6,2,7,1,8,1,7,2,13,1,6,1,13,2,7,1,8,1,24,1,8,2,7,1,6,1,8,1,13,1,8,1,13,1,24,2,7,1,6,1,29,1,30,2,29,2,27,1,30,1,29,1,30,1,29,2,30,1,25,1,27,1,30,1,29,4,28,1,30,2,28,1,30,1,28,1,27,1,28,1,8,1,25,1,8,1,7,1,8,2,24,2,8,1,24,1,8,1,10,1,13,1,9,3,10,1,11,1,16,1,11,2,16,1,11,3,9,2,11,1,12,2,16,1,10,1,9,1,16,2,11,1,16,1,11,1,16,1,17,1,16,1,11,1,16,1,17,1,16,1,11,1,17,1,16,1,17,1,16,1,17,18,16,1,17,17,11,1,17,1,11,2,17,9,12,1,24,1,9,1,8,1,30,1,13,3,7,1,6,1,13,1,7,1,13,3,8,1,11,1,13,1,24,1,12,3,11,1,17,2,11,1,17,1,12,1,17,1,12,1,17,1,12,2,17,1,10,1,17,4,9,1,11,1,17,1,24,1,9,1,8,1,7,2,13,2,6,1,13,2,8,1,13,1,8,1,13,1,29,1,8,2,24,1,9,2,24,1,12,1,10,1,17,1,12,1,10,1,12,4,17,34,10,1,17,3,12,1,17,1,12,1,17,1,12,1,17,1,10,1,17,1,12,1,17,3,10,1,12,1,17,2,10,1,9,1,17,2,10,1,11,1,12,2,10,1,12,1,10,1,12,1,9,1,12,1,10,1,24,1,12,1,10,1,12,1,17,2,12,1,17,2,12,2,17,2,11,1,17,3,12,1,11,1,17,2,12,1,17,20,12,2,17,1,12,1,17,1,11,1,10,1,24,1,13,1,8,1,13,1,7,1,6,1,28,5,33,1,5,28,28,11,16,1,17,1,16,1,12,1,17,1,16,1,12,1,9,1,8,2,13,2,24,3,11,1,17,1,12,1,16,1,12,1,28,6,14,1,9,1,28,1,30,2,28,19,}, {28,21,6,1,29,2,7,2,8,1,24,1,12,1,17,3,16,1,8,1,13,3,6,2,10,1,17,3,10,1,15,1,12,3,24,1,30,1,6,1,28,1,13,1,15,1,24,1,7,1,6,1,30,1,29,2,13,1,12,1,9,2,8,1,9,1,24,4,13,1,12,1,17,2,9,1,10,1,9,2,17,3,9,1,29,1,6,1,28,7,30,1,29,1,28,1,29,2,28,3,6,2,29,1,30,2,6,1,28,1,13,1,7,1,8,2,12,1,8,1,15,1,14,2,7,1,30,2,6,1,8,1,6,1,29,1,9,1,11,1,17,2,7,1,24,1,7,1,13,1,29,1,6,2,29,1,13,2,17,5,11,1,9,1,30,2,6,1,30,1,28,1,6,1,29,1,7,1,30,1,13,3,28,2,9,1,5,1123,33,1,28,6,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,7,1,6,1,7,2,13,1,9,1,13,1,8,1,13,1,29,1,6,1,13,1,8,1,13,1,8,1,17,1,6,1,13,1,8,1,11,1,8,1,9,1,11,1,17,3,12,1,11,2,17,6,8,2,24,2,29,1,30,1,29,2,28,1,17,1,12,1,13,1,24,1,7,1,24,1,8,1,13,1,24,1,8,5,10,1,12,1,17,2,8,1,24,2,13,1,9,1,17,6,9,1,8,2,10,1,17,1,8,1,9,1,17,4,10,1,16,1,12,1,17,1,12,1,11,2,17,2,6,1,28,4,29,3,30,1,28,18,29,1,27,1,25,3,24,1,25,1,24,1,25,1,8,2,24,1,13,3,7,2,13,1,8,1,6,1,8,1,9,1,13,1,8,1,6,1,28,3,13,1,6,1,13,1,6,1,28,4,30,1,28,1,6,1,28,3,30,1,28,2,30,2,6,2,13,1,6,1,7,2,13,8,6,1,13,6,11,1,9,1,13,1,9,1,8,1,9,1,6,1,13,2,9,1,13,1,6,1,13,1,6,1,28,5,30,1,28,3,6,1,13,1,7,1,30,1,28,6,30,3,28,3,30,1,13,1,30,1,13,2,9,1,8,1,11,2,16,2,11,2,16,1,17,2,16,1,17,1,16,2,17,1,16,2,17,4,16,1,17,2,11,1,16,1,17,3,16,1,17,1,11,2,17,1,16,2,17,1,9,2,13,1,9,2,11,1,9,1,13,1,8,1,13,3,9,1,8,1,13,1,6,1,28,1,30,1,6,1,28,84,30,1,28,1,30,1,7,1,13,1,30,1,13,1,7,1,13,1,30,1,6,2,30,1,6,1,7,1,13,1,28,1,13,2,30,1,7,2,30,1,6,2,30,1,6,1,30,1,6,1,28,1,29,1,6,2,28,1,6,1,30,1,7,3,6,1,28,1,6,1,28,1,13,1,6,2,7,3,6,1,13,1,6,1,13,2,29,1,30,1,6,1,7,1,30,1,13,1,29,1,13,1,6,1,30,2,8,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,29,1,13,1,29,1,13,1,6,3,30,2,13,4,11,1,8,2,13,2,8,1,9,2,10,1,13,1,8,3,13,1,9,1,8,1,17,13,10,1,17,12,13,1,28,1,30,1,28,1,7,1,13,1,30,1,28,1,30,1,13,1,10,1,8,1,9,1,10,1,11,1,17,1,10,1,17,4,12,1,10,1,9,1,24,1,10,1,11,1,10,1,12,1,9,1,10,1,24,1,10,2,9,1,24,1,10,1,24,1,10,1,9,1,17,1,9,1,12,1,8,2,12,1,17,1,10,1,9,1,10,1,17,1,12,1,17,4,12,1,17,1,12,3,17,1,9,3,11,1,17,15,9,3,16,1,17,1,16,1,10,1,12,1,11,1,9,1,12,1,9,1,6,1,24,1,7,1,13,1,8,4,7,1,8,1,24,1,8,2,13,1,6,2,7,2,13,2,7,3,13,1,6,2,7,3,24,1,9,1,8,4,9,2,8,1,9,6,10,1,9,1,17,1,12,1,17,3,16,1,17,1,16,2,11,1,10,1,9,1,13,1,9,1,7,3,13,1,7,2,6,1,13,1,7,2,13,1,6,4,13,1,6,1,7,3,8,1,13,1,7,1,13,2,8,1,24,1,7,1,13,4,25,1,6,1,27,1,29,1,30,1,27,1,30,2,27,1,30,1,28,1,30,1,29,1,27,1,29,1,27,1,30,1,29,2,30,1,29,1,28,4,29,1,28,1,29,1,30,1,26,1,25,1,26,1,7,1,8,1,24,1,7,1,24,2,8,1,13,1,8,1,24,1,9,1,8,1,9,1,11,1,16,2,17,1,16,1,12,1,16,1,9,1,11,3,12,1,9,2,11,1,12,1,10,1,17,1,9,1,11,1,16,1,11,1,10,1,16,7,11,1,16,2,17,3,16,1,17,9,16,1,17,9,16,1,17,1,16,1,17,4,16,1,17,2,12,1,17,3,12,1,11,1,17,2,11,1,12,1,17,6,11,1,17,1,9,2,10,1,8,2,13,1,7,1,13,2,29,1,7,1,13,2,7,1,8,1,24,1,8,1,9,1,11,1,10,1,12,1,9,1,12,1,17,2,11,1,17,1,12,1,11,1,12,2,9,1,17,1,12,1,11,1,12,3,8,1,12,1,9,1,10,1,24,1,7,1,8,2,13,1,7,2,13,1,7,1,24,1,13,2,7,1,8,1,24,1,10,1,24,2,11,1,10,2,17,1,12,1,17,1,11,1,9,1,12,1,17,23,12,1,17,8,12,1,17,5,11,1,17,1,12,1,17,1,12,1,9,1,17,3,10,1,12,1,17,2,12,3,10,1,12,1,8,1,9,1,10,1,12,2,9,1,24,1,9,1,10,2,13,1,24,1,8,1,10,1,9,1,12,1,13,1,12,1,13,1,12,1,24,1,9,1,11,1,10,1,12,1,10,2,11,1,17,2,11,1,17,1,11,1,12,1,17,18,12,1,17,9,12,3,8,1,13,1,8,1,7,1,6,2,13,1,28,5,5,27,28,11,17,3,12,1,17,2,9,1,8,1,9,1,13,2,8,1,13,1,8,2,12,1,10,1,17,2,24,1,28,6,17,1,9,1,28,2,6,1,28,19,}, {28,4,30,1,28,16,29,1,6,1,7,1,6,1,8,1,13,1,9,1,10,1,17,3,9,1,13,2,6,1,13,1,6,1,8,2,12,1,17,1,9,2,15,1,10,1,12,1,9,1,8,1,13,1,30,2,7,1,15,1,9,1,29,1,30,2,29,1,6,1,13,1,10,2,9,2,8,2,6,1,8,2,24,1,17,4,24,1,17,1,16,1,17,3,8,1,28,1,6,1,28,3,30,1,28,2,6,1,28,1,30,1,6,1,30,1,29,1,28,2,29,1,28,3,29,1,28,1,6,1,30,1,28,1,6,1,9,2,10,1,24,1,12,1,14,2,8,1,30,1,8,1,13,3,30,1,9,1,17,2,16,1,9,1,7,1,13,1,6,1,8,2,6,1,13,1,7,1,8,1,12,1,17,5,6,1,28,1,29,1,28,1,30,1,28,2,30,1,6,1,29,1,30,1,29,1,30,1,28,2,9,1,5,1123,28,5,30,1,28,5,30,1,28,1,30,1,28,2,6,1,30,1,7,1,29,1,13,6,30,1,29,2,28,1,13,2,6,1,17,1,12,1,17,1,13,3,12,1,17,4,11,1,10,1,11,1,17,3,12,1,10,2,24,1,6,1,25,1,24,1,8,1,28,3,30,1,7,1,12,1,9,1,10,1,8,1,13,1,24,4,8,2,24,1,8,2,17,2,9,1,10,1,8,1,9,2,13,1,9,1,17,9,11,1,12,3,17,5,12,1,17,1,11,1,16,1,11,1,17,2,6,1,28,4,30,1,29,2,28,4,30,2,28,11,30,2,28,1,30,1,27,2,25,1,8,1,24,1,8,3,13,3,24,1,29,1,7,1,8,3,13,1,11,1,13,1,30,1,6,1,30,2,6,1,13,2,6,1,28,6,30,1,28,3,13,1,30,1,28,2,30,1,6,2,30,1,13,2,6,1,13,3,9,2,13,1,9,2,13,6,9,3,11,1,13,1,6,1,9,1,13,1,8,2,9,1,13,1,8,1,13,2,6,1,28,9,30,2,6,1,28,9,30,2,6,1,30,1,28,1,13,1,6,1,28,1,30,2,13,2,8,1,11,1,9,1,11,1,16,6,11,1,16,2,11,1,16,1,17,1,16,2,17,5,16,1,17,2,16,1,17,2,16,1,11,1,17,1,16,1,11,1,9,1,11,2,9,4,11,1,9,1,11,1,13,2,6,1,13,3,8,1,29,1,6,2,28,86,30,1,6,1,30,1,6,2,7,1,6,1,29,1,7,1,30,1,7,1,8,1,7,1,6,1,9,1,8,1,13,1,29,1,8,1,7,2,13,1,6,1,13,1,28,1,8,1,6,2,13,3,6,1,13,1,7,2,6,1,13,1,28,1,6,1,7,1,8,1,28,1,6,2,13,1,7,1,13,1,6,1,13,1,7,1,6,2,7,1,30,2,6,1,7,1,6,1,7,1,13,1,30,1,6,1,30,2,6,2,30,1,13,1,30,1,29,1,13,2,6,1,8,1,7,1,6,4,13,1,30,1,9,1,30,1,13,1,9,1,13,1,11,1,9,2,11,1,9,2,11,1,8,1,13,1,8,1,17,1,13,1,10,1,11,2,17,9,12,1,11,1,17,3,11,1,17,12,10,1,29,1,6,1,28,1,8,1,10,1,9,1,8,2,10,1,9,2,10,1,12,1,10,1,12,1,17,2,12,2,17,2,10,1,9,1,17,1,11,1,12,2,24,1,12,1,10,1,9,1,13,1,24,1,12,1,24,1,9,1,12,1,9,1,10,2,9,2,17,1,9,2,12,2,10,2,12,1,9,1,12,1,11,1,12,1,17,1,10,1,17,1,9,1,12,1,10,1,9,1,12,1,10,1,11,1,9,1,17,14,12,1,17,10,10,1,13,1,8,1,7,1,6,1,8,4,13,1,24,1,7,2,6,1,13,1,29,2,13,1,6,2,7,1,13,2,7,1,13,1,7,1,6,1,7,1,29,1,6,1,24,1,13,1,9,2,8,1,9,2,8,1,9,2,10,1,8,1,9,1,10,1,9,2,10,1,9,3,11,1,17,4,16,2,17,1,16,1,9,1,13,1,6,1,13,1,7,1,8,1,6,1,8,1,6,2,24,1,8,1,6,1,7,1,6,1,13,2,7,1,8,1,7,1,29,1,13,1,8,2,6,1,7,1,30,1,8,2,13,1,24,1,8,1,24,2,25,1,6,1,29,1,30,1,29,1,30,1,29,2,30,1,27,1,29,1,30,1,29,2,30,1,28,1,29,1,27,1,30,2,28,5,30,1,28,2,30,1,29,2,30,1,26,1,25,1,7,1,8,2,24,1,8,1,10,1,7,1,13,2,9,1,24,1,13,1,9,3,11,1,16,1,9,1,16,1,11,1,9,1,11,1,9,1,10,1,11,2,10,1,11,1,16,3,17,1,16,2,11,1,9,1,16,2,11,1,17,1,16,1,11,1,16,2,11,1,17,4,16,1,17,31,12,1,11,1,17,1,12,2,17,1,11,1,17,10,10,1,9,1,10,1,13,1,10,1,7,1,6,1,13,1,7,3,13,4,8,1,13,1,8,1,9,1,10,1,12,2,17,1,10,1,17,1,10,1,9,1,12,1,10,1,17,3,10,1,17,1,12,1,10,2,24,2,8,2,13,1,6,1,8,1,9,1,7,1,13,2,7,1,8,1,13,1,7,1,6,1,8,1,10,1,24,3,10,1,17,1,12,1,24,1,12,1,17,3,12,1,17,2,12,1,17,18,12,1,17,4,12,1,17,2,12,1,17,1,12,1,17,1,12,1,10,1,12,3,17,2,12,3,11,1,9,1,17,1,11,1,12,2,24,2,10,1,11,1,24,1,8,1,11,1,8,2,9,3,8,2,12,1,24,1,13,1,6,1,8,3,13,2,8,1,24,1,13,1,24,1,13,1,24,1,9,1,24,1,8,1,10,1,9,1,7,1,10,1,12,1,11,1,24,1,11,1,10,1,11,1,10,1,12,1,10,1,17,1,12,1,17,10,12,1,17,12,12,1,17,1,12,1,8,2,13,1,8,1,13,1,29,1,7,1,30,1,28,4,33,1,5,25,28,11,17,3,11,1,17,1,12,1,11,1,9,1,13,1,8,1,13,2,8,2,9,1,12,1,11,1,17,2,9,1,28,6,17,1,9,1,29,1,28,3,30,1,28,17,}, {28,21,6,1,7,1,30,1,6,1,7,1,8,1,12,3,17,2,14,1,24,1,13,1,24,1,8,1,13,1,8,2,17,2,11,1,8,1,24,1,9,1,13,1,24,1,9,1,13,1,30,1,6,2,14,1,24,1,13,1,6,1,28,1,30,1,6,1,7,1,24,1,12,1,24,1,13,1,6,1,13,1,6,1,8,3,9,1,17,2,12,1,17,2,16,1,17,3,8,1,6,1,28,1,30,1,28,3,29,1,28,2,6,1,30,2,13,1,28,1,29,1,28,5,29,1,28,4,8,1,13,1,10,1,24,1,11,1,17,1,14,2,13,1,6,1,13,1,7,1,13,1,29,1,6,1,12,1,17,3,8,1,24,1,11,1,8,1,6,1,8,1,13,4,17,1,11,1,17,4,8,1,30,2,28,6,30,1,29,1,30,1,6,1,28,2,13,1,5,1122,28,8,30,1,29,1,28,6,30,1,28,1,7,1,30,1,13,1,29,1,13,1,6,1,8,1,9,1,6,2,30,2,7,1,13,1,8,1,6,1,7,1,12,1,17,1,13,1,8,1,11,1,9,1,10,1,8,1,10,1,17,1,11,1,10,2,17,4,8,1,12,1,8,1,6,1,30,1,17,1,24,1,28,1,30,1,28,1,29,1,12,2,8,1,24,1,8,4,24,3,8,1,12,1,10,1,17,2,12,1,24,1,12,3,9,1,12,1,24,1,17,3,12,1,16,1,17,1,16,1,17,1,9,1,11,1,17,12,16,1,17,2,13,1,28,4,6,1,29,2,28,4,30,1,6,1,29,1,7,1,6,1,30,1,28,7,30,1,28,4,27,2,25,2,8,1,25,1,8,4,24,2,13,1,8,1,7,1,13,1,8,1,28,3,30,1,28,1,6,1,13,1,6,1,28,7,30,1,28,3,6,1,30,2,6,1,28,1,13,1,6,1,30,1,13,7,30,1,13,4,11,1,13,6,9,2,13,1,6,1,9,1,8,1,13,1,9,1,13,2,9,1,13,2,9,1,13,1,6,1,30,1,28,16,30,1,28,1,6,2,28,1,30,2,6,1,30,1,13,1,7,1,30,3,13,1,6,1,13,1,8,1,13,1,11,2,16,1,11,1,16,1,9,1,16,2,11,3,10,1,17,7,16,1,17,1,16,1,17,2,16,1,11,3,8,1,11,1,9,3,11,1,9,1,13,1,9,1,13,6,6,1,10,1,13,1,6,1,30,1,6,1,30,1,28,82,30,1,28,3,30,2,7,2,29,2,8,1,13,1,30,1,29,1,13,1,8,1,13,1,8,1,7,1,6,1,13,2,6,1,13,1,24,1,6,2,7,1,13,2,28,2,29,1,7,1,6,1,7,1,6,1,13,1,30,1,13,1,7,1,6,2,7,1,28,1,30,1,13,4,29,1,28,1,6,1,13,2,6,2,13,1,30,1,13,1,7,4,13,1,6,1,7,1,29,3,13,1,30,1,6,1,13,1,6,2,13,1,6,2,9,1,8,1,6,1,9,1,6,1,8,1,13,1,10,1,11,1,10,1,8,1,12,1,9,1,13,1,9,3,13,1,8,1,17,1,12,1,11,1,17,19,12,1,17,12,8,1,6,1,7,1,8,1,12,1,17,2,12,1,17,15,9,1,10,1,12,1,17,1,9,1,10,1,9,3,24,1,9,1,10,1,12,1,24,1,12,1,9,1,12,1,9,1,12,1,10,1,17,1,12,1,17,1,24,1,9,1,12,1,17,1,12,1,17,1,12,1,10,1,17,1,24,1,17,1,9,1,17,1,12,1,24,1,9,1,12,1,11,1,17,12,12,1,17,5,12,1,17,7,13,2,7,2,13,1,6,1,8,2,9,3,6,1,13,2,7,3,6,3,7,1,8,1,6,1,13,1,6,1,29,1,13,1,8,1,13,4,8,1,13,1,24,1,8,1,9,3,8,1,24,1,9,1,10,2,8,1,9,2,10,2,9,2,11,2,17,3,11,3,10,1,13,1,9,1,6,1,13,3,6,2,8,1,13,2,8,1,6,2,13,1,7,1,6,1,8,1,13,2,24,1,13,1,29,1,13,1,6,1,13,1,8,4,9,2,24,1,7,1,25,1,26,1,29,1,28,3,29,1,30,2,29,1,30,2,29,3,30,1,29,1,30,1,29,2,28,2,30,1,28,4,30,1,28,1,29,1,27,1,25,1,6,1,25,1,24,2,13,2,24,1,8,1,17,1,9,3,8,1,11,1,9,1,12,1,11,2,16,1,17,1,10,1,9,1,11,1,9,1,11,1,9,2,10,1,9,2,11,1,16,2,11,1,16,1,17,1,11,1,16,3,9,1,16,1,17,1,16,2,11,2,16,2,17,4,11,1,17,33,12,1,17,1,11,1,17,10,11,1,17,1,9,1,11,1,9,1,8,1,13,1,7,1,29,1,13,1,6,1,13,2,8,1,7,1,13,1,10,1,13,1,10,1,9,2,11,1,9,1,8,1,10,1,17,3,10,1,17,1,12,1,17,1,9,1,11,1,12,1,9,1,24,1,8,1,13,1,7,1,8,1,7,1,8,1,13,1,7,1,13,1,8,1,29,1,8,2,6,1,13,1,12,2,24,2,11,1,10,2,17,3,10,1,17,16,12,1,17,14,12,3,17,2,12,2,17,2,12,1,9,1,12,1,10,1,12,2,8,1,10,2,13,1,8,1,7,1,8,1,13,1,7,1,24,1,7,2,8,1,13,2,8,2,7,1,13,2,24,1,8,1,7,1,6,1,13,1,7,2,8,1,13,2,8,1,6,1,13,1,6,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,4,10,1,13,2,9,1,10,2,12,1,10,1,17,2,12,3,17,14,12,1,17,2,10,1,17,1,11,1,9,1,10,2,8,2,6,1,13,1,7,1,28,5,5,25,28,10,30,1,17,1,16,1,17,1,12,1,10,3,24,1,13,1,8,1,13,1,28,1,29,1,13,1,8,1,12,1,9,1,17,1,12,1,8,1,28,5,29,1,17,1,9,1,28,22,}, {28,9,30,1,28,11,30,1,6,2,7,1,6,1,13,1,9,1,17,4,12,1,13,3,8,1,13,2,9,1,17,2,9,2,24,1,9,1,8,3,6,2,7,1,8,1,15,1,10,1,24,1,6,1,29,1,13,3,9,3,10,1,6,4,8,2,11,1,17,9,6,1,30,1,28,9,6,1,28,1,30,1,6,1,30,2,28,6,30,1,28,2,6,1,7,1,9,1,12,1,8,1,12,1,17,2,9,1,29,1,13,2,6,1,7,1,6,1,24,1,17,3,9,1,24,1,9,1,24,1,13,1,8,1,13,1,6,1,13,1,6,1,9,1,8,1,17,1,24,1,17,2,29,1,30,1,28,1,29,1,28,7,30,2,28,2,13,1,5,1121,30,1,28,9,30,3,6,1,28,4,30,1,29,1,7,2,13,1,9,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,13,2,6,2,8,1,13,1,9,1,8,1,9,1,10,1,8,1,24,1,13,1,8,3,24,1,11,1,17,3,10,1,8,2,13,1,6,1,25,1,12,1,29,1,28,1,29,1,25,1,7,1,8,1,12,1,9,3,8,1,12,1,8,1,24,1,8,1,24,1,10,1,17,2,24,1,12,1,24,1,12,1,9,2,12,1,10,1,13,1,10,1,12,2,11,1,17,1,12,1,17,2,16,1,17,3,9,1,8,1,9,1,10,1,16,1,12,1,11,1,17,1,16,1,17,2,11,1,17,2,10,1,28,5,7,1,30,1,28,4,29,2,13,1,8,1,6,1,7,1,6,1,28,6,30,1,28,1,30,2,29,3,7,1,13,1,7,1,13,2,8,2,13,1,9,3,13,1,8,1,6,1,7,1,6,1,28,1,30,1,6,1,13,2,28,1,30,1,28,8,13,4,6,1,8,1,6,1,13,4,9,2,13,3,6,1,30,2,13,1,6,1,13,2,9,1,11,3,9,2,11,2,16,1,13,2,16,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,6,1,30,1,28,2,30,1,6,1,28,4,6,1,30,1,28,4,30,1,13,1,30,1,28,1,30,1,28,2,6,2,28,1,30,1,28,3,30,1,6,1,28,2,30,3,13,2,9,2,11,2,9,1,16,2,9,1,11,3,9,1,16,2,11,1,17,5,16,1,17,2,16,1,8,1,9,4,13,1,8,1,13,2,6,1,13,7,9,2,13,2,28,1,30,1,28,84,30,1,28,1,30,1,28,1,30,3,29,1,8,1,13,2,30,1,29,1,7,1,8,1,13,1,6,2,13,1,7,1,6,2,13,1,6,1,13,1,9,1,30,2,6,2,8,1,13,1,7,2,6,1,13,1,7,1,6,1,7,1,6,2,28,1,30,1,6,1,30,2,6,2,13,1,6,1,30,1,6,2,7,1,29,1,6,1,7,1,6,1,7,1,13,1,30,2,13,1,8,1,6,1,13,1,29,1,6,2,13,1,29,1,7,1,30,1,6,2,13,1,8,1,6,1,13,3,9,2,7,1,13,1,9,1,13,1,9,1,11,1,9,1,11,1,10,1,12,1,11,1,12,2,9,1,12,2,17,34,9,1,6,1,13,1,8,2,24,1,9,1,12,2,6,1,30,1,6,1,24,1,12,3,17,13,9,1,12,1,8,1,9,2,12,3,10,1,11,1,24,1,10,1,12,1,8,1,17,1,24,1,17,2,24,1,9,1,17,1,12,2,9,2,24,1,9,1,17,1,12,1,8,1,10,1,12,1,9,1,11,2,17,6,12,1,17,7,10,2,11,1,17,1,10,1,17,2,12,1,17,4,13,1,6,1,7,1,13,2,6,1,8,2,24,2,8,1,6,1,29,1,6,1,30,1,29,1,7,1,13,1,6,1,13,1,6,1,13,1,8,1,24,1,8,1,7,1,24,1,13,1,7,1,13,1,7,1,8,1,24,1,13,1,24,1,8,1,9,1,8,1,9,7,11,1,10,1,9,2,10,3,11,3,17,3,16,2,13,3,8,2,7,1,13,3,7,2,8,1,13,1,7,1,8,2,24,1,8,1,13,1,8,3,7,2,24,1,13,2,8,1,9,1,24,1,10,2,7,2,27,2,30,1,27,1,28,1,30,1,28,1,30,1,27,2,30,2,28,3,30,4,28,10,29,1,30,1,25,1,6,1,7,1,8,1,7,1,8,1,24,2,9,1,24,2,9,1,8,1,9,1,8,1,12,1,11,1,17,1,10,1,9,1,11,1,16,1,9,3,8,1,9,2,10,1,11,1,10,1,11,1,16,1,11,1,16,1,11,1,9,1,17,1,11,1,16,1,11,2,16,2,11,1,16,1,17,1,16,2,17,1,16,1,17,13,16,1,17,1,11,1,17,10,16,1,17,3,16,1,17,8,12,1,17,10,12,1,17,1,12,2,9,2,13,1,8,1,13,1,6,2,7,1,6,1,13,1,7,1,13,3,8,1,24,1,9,1,10,1,9,1,11,1,12,1,8,1,12,1,11,2,9,1,11,1,12,1,17,1,12,1,10,1,9,1,12,1,8,1,6,1,7,1,13,1,7,2,29,1,13,1,6,1,7,2,24,1,9,1,8,1,12,1,11,1,8,1,10,1,24,1,11,1,10,1,11,1,10,1,17,24,12,1,17,2,12,2,17,5,12,2,17,1,9,1,12,1,10,2,12,3,9,1,24,1,10,2,13,1,8,1,13,1,8,1,13,1,7,2,29,1,7,1,13,5,7,4,13,1,24,1,8,1,7,1,13,1,7,1,30,1,6,1,7,1,6,1,7,1,13,4,7,1,8,1,6,1,7,1,6,1,13,3,8,1,13,4,8,1,13,1,24,1,8,2,24,1,9,1,8,1,24,2,17,4,12,2,17,2,12,1,17,4,10,1,17,2,12,1,17,4,11,1,12,1,10,2,24,1,12,1,9,1,13,2,7,1,13,1,28,6,30,1,5,22,33,1,28,10,6,1,17,5,10,1,9,2,24,1,6,3,29,1,8,1,9,2,11,1,12,1,17,1,13,1,28,6,17,1,24,1,28,2,30,1,28,19,}, {28,1,30,1,28,19,6,1,13,1,6,2,24,1,8,1,24,1,11,1,17,3,9,1,7,2,13,1,6,1,13,1,6,1,10,1,17,2,24,1,10,1,9,2,13,1,8,2,6,1,29,1,6,1,7,1,12,1,9,1,6,2,7,1,6,3,11,1,12,1,17,1,9,1,13,1,6,3,13,1,8,1,10,1,17,9,9,1,28,3,30,1,28,1,30,1,28,3,6,1,29,1,30,2,28,6,30,1,28,3,30,1,28,1,6,1,8,2,10,2,17,3,13,1,6,1,8,1,29,1,13,1,6,1,7,1,13,1,17,3,9,3,13,1,7,1,8,1,7,1,8,2,13,1,8,1,13,1,10,1,12,1,17,1,14,1,7,1,28,1,29,1,30,1,28,2,30,1,28,4,6,1,28,3,6,1,5,1121,28,8,30,2,6,1,8,1,7,1,8,1,6,1,30,1,28,2,13,2,7,1,13,2,6,1,13,2,6,2,30,2,29,1,7,1,30,1,6,1,7,1,13,1,8,1,13,1,17,1,12,1,30,1,13,4,7,1,9,1,10,1,9,1,17,3,10,1,24,1,8,1,13,1,6,1,24,1,10,1,25,1,28,1,6,2,24,1,8,1,24,1,12,1,10,1,24,1,8,1,12,1,10,1,12,2,24,3,17,1,24,1,10,1,24,1,8,2,9,1,12,1,10,1,12,1,24,1,9,1,17,7,12,1,17,1,11,1,9,2,10,2,11,1,9,1,10,1,16,2,17,6,28,5,30,1,28,3,30,2,28,2,30,1,6,1,13,1,24,1,8,2,28,7,30,1,28,2,29,1,7,3,13,1,7,2,6,1,8,1,13,1,30,1,7,1,30,1,29,1,6,3,28,1,13,2,8,1,6,1,30,1,28,7,30,1,13,4,9,2,13,2,8,2,13,1,9,1,13,2,6,2,30,1,13,1,30,1,28,1,30,1,28,2,30,1,13,3,9,1,13,1,9,3,16,1,11,1,13,1,11,1,9,2,13,1,9,1,13,4,30,1,13,1,30,1,13,1,28,8,30,1,28,19,30,1,28,1,6,1,28,2,6,3,13,2,9,2,11,2,16,2,11,2,9,1,11,1,9,4,11,1,16,1,11,2,16,1,17,1,16,1,9,1,11,1,9,2,13,1,9,1,13,1,8,1,6,1,13,1,9,1,13,4,8,1,7,1,13,3,9,1,13,1,28,88,30,1,28,3,6,1,13,1,29,1,7,1,6,1,29,1,30,1,8,1,13,1,6,1,13,3,6,1,13,1,7,1,13,1,29,2,13,1,6,1,13,1,7,1,30,2,13,1,6,1,7,1,13,3,7,1,6,2,30,1,6,1,7,2,30,2,7,1,30,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,13,1,7,1,6,2,29,1,7,1,6,1,13,1,28,2,7,1,13,1,29,1,6,3,7,1,6,1,7,1,6,1,13,1,9,1,7,1,13,1,8,1,13,1,8,1,9,1,8,4,9,1,17,1,11,1,10,1,9,1,17,4,11,1,17,1,12,2,17,4,11,1,17,10,12,1,17,18,12,1,13,2,6,1,7,1,28,1,30,1,13,1,6,1,28,7,8,1,24,1,10,1,17,1,12,3,17,2,12,1,17,1,10,1,17,1,12,2,24,1,11,1,10,2,24,1,12,2,17,1,12,1,17,1,8,1,24,1,17,2,10,1,12,2,9,1,17,1,9,1,12,1,17,3,24,1,12,1,11,1,12,1,9,2,17,1,9,1,17,8,12,1,17,2,12,1,17,1,10,2,12,1,17,1,11,1,17,2,12,1,11,1,10,1,17,4,12,1,13,4,8,2,9,1,24,1,13,1,30,1,13,1,7,1,6,1,13,1,8,1,7,1,13,2,7,1,8,1,13,1,24,1,8,3,13,1,8,1,24,1,8,1,13,1,7,1,8,1,13,1,8,3,6,1,13,1,9,1,13,1,8,1,24,1,9,2,8,1,10,2,9,2,8,1,9,1,13,1,9,1,8,1,10,1,17,2,16,1,17,1,10,1,9,1,8,2,13,1,24,1,13,3,6,1,13,1,6,2,13,1,24,1,9,2,8,2,9,1,7,2,13,1,8,1,13,2,9,1,13,2,8,1,10,1,7,1,8,1,25,1,27,2,29,1,27,1,30,1,29,1,30,1,28,2,30,1,27,1,29,1,30,1,27,1,30,1,28,1,29,1,30,1,29,1,28,10,29,2,27,1,26,1,25,1,7,1,24,1,7,1,8,2,24,1,9,2,8,1,13,1,9,2,11,1,9,1,16,1,11,1,16,1,10,1,11,2,10,1,9,3,8,1,9,3,11,2,16,2,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,5,17,1,10,1,16,2,17,10,16,1,17,21,16,1,17,18,12,2,11,1,12,1,9,1,13,1,9,1,13,1,6,2,7,1,8,1,29,1,8,1,13,2,10,1,13,1,10,1,9,1,10,1,24,1,9,1,8,1,11,1,10,2,12,1,10,3,11,1,10,1,8,2,7,2,6,2,13,1,7,2,13,1,7,1,8,1,17,1,10,1,24,1,17,1,9,1,12,1,10,1,24,1,12,2,17,26,11,1,17,2,12,1,17,4,10,2,12,3,10,1,17,2,12,1,10,1,12,1,24,1,9,1,13,1,8,3,13,1,7,1,24,1,29,1,13,1,8,1,13,1,7,1,13,2,7,1,29,1,7,2,13,3,7,1,13,1,7,1,13,1,7,1,13,1,6,2,7,1,6,1,7,1,29,1,13,2,7,1,6,1,7,1,6,1,7,1,13,1,7,3,13,1,7,1,30,1,6,2,29,2,7,1,13,1,7,2,29,1,7,1,13,1,7,1,13,2,10,4,12,1,17,1,12,1,17,9,12,1,17,4,12,2,24,1,9,1,8,3,13,1,7,1,13,1,6,1,30,1,28,6,5,21,6,1,28,10,30,1,17,4,11,1,10,1,11,1,24,1,9,1,8,1,29,1,13,1,6,1,13,1,9,1,10,1,9,1,11,1,10,1,13,1,28,5,30,1,17,1,8,1,28,1,30,1,28,20,}, {28,1,30,1,28,18,29,1,6,1,13,1,6,1,13,1,6,1,24,1,12,1,9,1,17,2,16,1,15,1,13,1,6,3,13,1,6,1,8,1,14,2,24,1,13,1,12,1,13,1,9,1,8,1,6,1,30,1,28,2,29,1,17,1,10,1,6,1,30,1,28,2,6,1,13,1,10,1,12,1,13,1,9,1,24,1,7,2,6,2,8,2,12,1,17,2,12,2,17,3,14,1,15,1,30,1,28,1,29,2,28,1,30,1,28,3,29,1,30,1,28,1,30,1,7,1,30,2,28,3,29,1,30,1,28,2,29,1,30,1,6,1,8,1,24,1,9,1,10,1,12,1,17,2,9,1,8,1,6,1,29,1,6,1,29,1,6,1,24,1,17,3,12,1,9,3,8,1,13,4,7,1,13,1,10,2,15,2,12,1,7,1,30,2,28,4,30,2,28,3,29,1,28,2,13,1,5,1120,28,3,13,1,28,5,29,1,13,1,24,1,13,2,6,1,24,1,9,1,29,1,7,1,13,1,29,1,13,1,8,1,13,1,24,1,7,2,6,2,29,1,13,1,30,1,6,1,30,1,6,1,28,1,9,2,13,1,12,2,28,1,8,2,13,2,24,1,8,2,10,2,12,1,24,2,12,1,6,1,13,1,24,2,8,1,7,1,6,1,25,1,24,1,8,1,24,2,12,2,10,2,24,1,10,1,24,1,12,4,24,2,13,1,8,2,24,2,8,1,10,2,24,1,10,1,12,1,24,2,9,1,11,1,17,3,12,1,9,2,8,1,9,1,24,1,9,1,10,1,11,1,9,1,17,1,12,1,17,2,16,1,17,2,28,6,29,3,7,1,30,1,28,3,30,1,7,1,12,1,10,1,17,1,24,1,6,1,25,1,30,1,28,2,30,1,28,3,30,1,6,2,30,1,7,1,6,1,30,2,28,8,8,1,11,1,6,1,13,2,30,1,28,8,30,1,13,1,6,1,13,1,9,1,8,1,13,2,9,2,16,1,11,1,9,1,30,1,28,13,13,2,9,1,13,1,6,1,13,1,16,1,13,2,9,1,13,2,6,1,13,3,28,4,30,1,28,2,30,1,28,5,6,1,28,19,30,2,28,2,6,1,28,1,6,1,13,1,6,1,7,1,6,1,13,2,9,1,11,1,13,6,9,1,13,2,9,4,11,2,9,1,11,2,6,1,9,1,8,1,9,1,13,4,9,1,13,5,8,1,30,1,9,1,13,1,9,1,28,85,6,1,28,2,30,1,28,4,30,2,13,1,6,2,7,1,13,1,7,1,24,1,13,1,6,1,29,1,7,1,13,5,6,1,13,1,8,1,13,1,7,1,6,1,30,1,8,1,13,1,7,1,6,1,13,1,6,2,29,2,13,2,30,1,7,1,6,1,7,1,13,2,7,1,6,1,7,1,29,1,7,1,30,1,7,2,6,1,13,1,6,1,28,1,7,1,6,2,7,2,29,1,6,1,30,1,7,1,6,1,8,1,29,1,13,6,8,2,9,3,8,1,10,1,8,1,9,1,8,1,11,1,10,1,11,1,17,1,11,1,17,1,12,1,8,1,9,1,8,1,13,1,8,2,9,1,8,1,10,1,24,1,12,2,10,1,9,1,8,1,11,1,9,2,10,2,17,1,10,1,17,19,13,1,7,1,6,1,29,2,28,1,6,1,30,1,28,1,6,1,28,3,29,1,6,1,13,1,6,1,9,1,17,9,11,1,17,1,24,1,12,1,9,1,12,1,24,2,12,1,9,2,24,1,10,1,17,1,12,1,9,1,17,1,10,1,17,2,10,1,24,1,9,5,24,1,10,1,24,1,12,1,9,1,11,1,12,1,9,1,17,7,12,1,11,1,12,1,11,1,17,1,10,1,12,1,11,1,9,2,12,1,9,2,12,1,11,1,17,2,10,1,17,2,7,1,13,1,7,1,13,1,7,1,8,1,24,1,8,1,7,1,6,3,13,1,6,2,7,2,8,2,9,1,13,1,12,1,8,1,24,2,10,1,12,1,24,2,7,1,6,1,7,2,13,1,24,1,7,1,8,1,13,1,24,1,13,1,8,3,9,1,8,1,9,8,11,1,9,2,11,1,17,4,9,1,13,1,8,1,7,1,13,1,6,1,8,1,7,1,6,1,13,1,6,1,7,1,8,1,7,1,24,1,13,1,9,1,13,1,8,1,6,1,8,1,13,2,7,1,8,1,7,1,8,1,24,2,9,1,8,2,25,1,26,1,27,1,29,3,30,2,28,1,30,1,28,1,27,1,29,1,30,1,29,1,27,1,28,3,29,1,28,3,30,1,28,5,29,1,28,1,29,2,27,1,8,3,13,1,8,3,24,1,9,2,10,1,9,1,10,1,9,1,11,1,17,1,11,1,12,1,16,2,9,2,17,1,9,4,11,1,9,2,11,1,16,1,17,1,11,1,17,1,16,3,9,1,17,1,10,1,16,2,17,1,11,3,16,3,17,7,16,1,17,26,16,1,17,3,12,1,17,15,11,1,12,2,11,1,12,1,11,1,13,1,8,1,6,1,13,1,7,1,6,2,13,1,7,1,13,1,9,1,8,1,24,1,11,1,8,1,10,1,8,1,11,1,24,1,8,1,10,1,12,1,9,1,13,1,24,1,7,1,8,1,7,2,6,2,7,2,24,2,10,1,17,1,12,2,17,2,11,1,17,1,12,1,17,17,12,1,17,3,11,1,17,12,10,1,12,1,10,2,17,1,9,1,17,1,11,1,10,1,17,1,8,1,10,1,8,1,9,1,13,1,8,1,13,1,8,1,6,1,8,1,13,5,8,1,7,1,8,1,7,1,13,1,8,2,7,1,8,1,13,1,7,1,8,1,13,2,8,1,13,1,7,1,24,1,29,1,7,3,6,1,13,1,7,2,13,1,7,2,13,1,7,1,13,1,6,2,30,1,28,1,7,1,29,1,6,2,13,1,7,2,6,1,13,2,7,2,6,1,13,1,7,1,13,1,7,1,13,1,9,1,10,1,9,1,11,1,9,1,12,2,17,12,12,1,24,1,10,1,8,2,9,1,13,1,24,1,13,2,8,1,13,1,28,6,5,20,13,1,28,3,29,1,28,6,6,1,17,3,12,2,10,1,12,1,10,1,8,2,30,1,6,1,13,1,8,1,9,2,11,1,12,1,9,1,13,1,28,5,6,1,16,1,8,1,30,1,28,21,}, {29,1,30,3,28,16,30,1,6,1,7,1,13,1,29,1,6,1,11,1,9,2,17,3,9,1,7,1,29,1,6,2,29,1,6,1,24,1,17,2,9,5,13,1,8,1,13,1,6,1,29,1,6,1,24,2,30,1,28,4,13,1,9,1,12,1,24,1,13,1,8,1,29,1,28,1,13,1,7,1,6,1,8,1,12,1,16,1,12,3,11,1,14,1,17,2,9,1,7,1,6,1,29,1,30,1,28,3,30,1,28,1,6,1,29,1,30,1,29,1,28,6,29,3,30,2,28,1,8,1,24,1,8,1,24,1,10,1,17,3,12,1,24,1,13,2,29,1,6,2,8,1,17,4,8,1,9,1,24,1,7,1,13,1,6,2,30,1,24,2,9,1,8,1,15,1,17,1,14,1,29,1,30,3,28,6,30,1,29,1,6,1,28,2,9,1,5,1119,28,10,6,1,13,1,6,1,30,2,7,1,8,1,13,1,9,1,6,1,13,1,7,1,8,1,13,2,8,1,13,1,7,2,29,1,6,1,13,2,24,1,17,1,24,2,9,1,12,1,8,1,12,1,13,1,6,1,8,1,24,1,13,1,8,1,7,1,8,1,24,1,9,1,10,1,24,1,8,2,6,1,7,1,13,1,8,1,6,1,7,3,6,1,13,1,6,1,24,3,8,1,9,1,13,1,24,1,12,1,24,1,12,1,24,2,13,1,12,1,6,1,8,1,6,2,13,1,7,1,6,1,13,1,8,1,24,1,12,1,13,1,17,1,11,1,8,1,11,1,12,1,17,1,12,2,11,1,9,1,10,2,11,1,9,2,8,1,11,1,17,4,16,1,17,2,7,1,28,4,29,1,30,2,7,1,6,1,28,4,29,1,7,1,12,1,17,1,12,1,6,1,29,1,7,1,6,2,28,1,6,1,29,3,30,1,6,1,13,1,6,1,28,14,30,1,28,10,30,1,6,1,13,6,9,1,13,3,28,17,30,1,6,1,9,1,13,2,9,1,6,1,13,5,7,1,30,1,28,7,30,1,28,5,30,1,13,1,30,2,28,19,30,1,6,1,30,1,28,1,6,1,30,1,6,1,13,1,6,1,30,1,13,1,6,1,13,5,9,1,13,1,8,1,13,7,9,2,13,4,9,1,13,2,6,1,13,2,9,1,13,3,30,1,8,1,9,1,6,1,9,1,8,1,28,86,30,1,28,2,6,1,30,2,28,1,30,2,13,1,30,1,6,1,7,2,13,2,6,1,13,1,7,1,6,1,13,1,6,2,13,4,6,1,7,1,6,4,7,1,30,1,7,1,28,1,6,1,13,2,7,1,6,1,7,1,6,1,30,1,13,1,6,1,30,2,13,1,7,1,13,1,6,1,30,1,29,1,13,1,6,2,30,1,7,1,29,1,6,2,29,1,7,1,29,1,6,1,30,1,6,1,7,3,8,1,13,2,8,2,13,1,9,1,8,1,13,1,8,1,9,2,11,5,9,1,11,2,17,1,11,1,10,1,9,1,29,1,7,1,29,1,6,1,13,2,7,1,8,2,24,1,8,1,13,1,9,1,24,1,8,1,13,1,8,1,24,1,8,3,13,1,24,1,13,2,24,1,9,1,17,14,12,1,13,1,8,1,29,2,30,1,29,2,13,2,6,1,28,1,30,1,29,1,7,1,13,1,8,1,9,1,24,1,9,3,10,1,12,1,17,1,12,1,17,2,12,2,24,1,10,1,24,1,9,1,24,1,8,1,10,1,12,1,10,1,12,1,9,1,10,1,17,5,9,1,17,1,24,1,17,1,12,1,9,1,12,1,9,1,11,1,12,1,10,1,9,1,17,1,12,1,10,1,17,7,11,1,17,3,11,1,9,1,11,1,12,1,9,1,11,2,17,1,12,1,11,1,17,1,12,1,10,1,17,3,12,1,8,1,7,1,13,1,6,1,13,1,8,1,24,1,7,1,6,1,28,1,8,1,6,3,8,1,6,1,8,1,13,2,24,5,10,1,13,1,7,2,6,2,29,1,28,1,6,1,7,2,8,1,13,1,6,1,8,1,9,1,13,1,8,1,9,1,8,1,24,1,12,1,8,1,9,3,10,1,9,5,13,1,9,1,17,3,11,1,10,1,13,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,11,1,24,2,8,1,13,1,8,1,7,1,13,2,6,1,13,1,8,3,24,2,9,1,8,2,27,1,29,1,25,1,29,2,28,1,30,1,29,1,28,1,27,1,30,3,28,1,30,1,27,1,30,1,27,1,28,11,30,1,28,1,27,1,29,1,25,1,6,1,8,1,7,1,8,2,9,1,7,1,9,4,8,1,16,1,11,1,16,2,11,1,10,1,9,1,11,1,9,1,10,1,11,1,9,4,11,3,9,2,17,2,16,2,11,2,17,1,11,1,16,3,11,1,16,1,11,1,16,2,11,1,16,2,17,19,16,1,17,5,16,1,17,6,11,2,17,22,12,4,24,1,13,1,7,2,29,1,13,1,6,1,9,1,8,1,13,1,24,1,8,1,9,1,24,1,8,2,9,1,24,1,9,1,24,2,8,1,7,2,30,1,13,1,7,2,13,1,7,1,8,2,24,1,10,1,24,1,17,3,12,1,17,15,12,1,17,3,12,1,17,8,12,1,17,1,12,2,17,1,12,1,10,1,12,1,17,1,12,6,24,1,10,1,9,1,10,1,12,1,24,2,7,1,8,1,24,1,13,3,7,2,13,1,7,1,13,1,24,1,6,1,8,1,13,1,7,1,24,1,13,1,24,1,13,1,8,2,24,1,8,1,10,1,13,1,8,3,13,2,29,1,13,2,7,3,13,3,6,1,7,1,6,4,7,2,13,1,7,1,6,2,7,1,29,1,30,1,7,1,6,1,13,2,7,2,13,1,6,1,7,1,13,1,7,1,13,2,8,1,9,2,24,1,9,2,12,3,10,1,17,4,12,1,17,3,12,1,11,1,24,1,10,1,11,1,24,1,9,1,24,1,13,1,24,1,8,1,6,2,30,1,28,4,5,20,13,1,28,10,13,1,17,4,10,1,11,1,9,1,10,1,8,1,7,1,13,2,7,1,8,1,24,1,10,1,17,2,11,1,7,1,28,5,13,1,15,1,9,1,28,22,}, {28,1,29,1,28,12,30,1,28,2,29,1,30,2,29,2,6,2,7,1,13,1,24,1,12,2,17,3,11,1,8,1,6,1,29,1,6,3,24,1,14,2,10,1,12,1,9,1,15,1,9,1,24,1,13,1,7,1,29,2,6,1,24,1,8,1,29,2,28,1,6,2,13,1,8,1,24,1,8,1,9,1,13,2,7,1,29,1,13,2,8,2,17,1,8,1,11,1,16,1,9,1,17,1,14,2,9,1,6,1,7,1,28,1,30,1,28,1,30,1,28,1,30,2,28,3,6,1,30,1,28,3,30,1,28,3,30,1,29,1,30,1,29,2,13,1,6,1,8,1,24,2,17,2,10,1,9,1,6,3,29,1,28,1,24,1,17,4,16,1,10,1,9,1,24,1,6,1,13,1,8,1,13,1,8,2,9,2,17,2,15,1,13,1,28,1,29,1,28,9,6,1,28,2,13,1,5,1118,28,3,6,1,30,1,28,3,30,1,28,1,30,1,7,1,29,1,28,1,29,1,28,1,6,1,13,2,10,1,6,2,8,1,7,1,13,3,8,1,6,1,30,1,13,1,9,1,17,1,8,2,29,1,13,2,24,1,10,1,24,1,17,1,7,1,6,1,25,1,24,1,7,1,25,1,13,1,7,1,6,1,8,1,10,1,6,3,29,1,7,1,30,1,6,2,7,1,6,1,24,1,13,1,29,1,13,3,9,1,13,1,8,1,24,1,12,1,13,1,24,4,8,1,7,1,6,1,27,1,29,3,6,1,29,1,13,2,7,1,8,1,13,1,8,1,24,1,8,1,9,1,8,1,17,3,12,1,13,1,9,1,8,1,9,1,10,2,13,1,17,2,16,2,17,4,9,1,28,4,30,1,6,1,7,1,6,2,28,3,29,1,8,1,12,2,17,3,28,2,29,1,13,2,29,1,30,2,7,1,30,1,7,1,28,25,30,2,28,2,6,2,13,3,9,1,13,1,30,1,28,17,30,1,28,2,30,2,13,1,7,1,13,2,9,1,13,1,30,1,13,4,6,1,30,2,28,9,6,1,30,1,13,1,6,2,28,8,30,1,28,1,30,1,28,3,30,1,28,2,6,2,28,2,30,2,6,1,30,2,6,2,13,1,6,2,7,1,6,1,7,1,6,2,13,1,6,1,13,7,9,2,13,5,6,1,13,4,11,2,9,1,13,3,11,2,13,1,9,1,28,90,6,1,28,2,30,1,6,1,28,1,6,1,29,3,7,1,13,6,8,1,6,1,30,1,7,1,6,1,30,1,29,1,13,1,6,1,7,1,13,2,28,1,7,3,8,1,30,2,6,1,13,1,6,1,30,1,7,2,6,3,30,1,13,1,28,1,6,2,13,2,6,1,30,1,6,3,28,1,6,1,28,1,30,1,29,1,6,2,30,1,13,1,7,1,6,1,13,2,9,1,13,2,10,1,13,2,8,2,10,1,9,2,12,1,10,1,11,3,17,3,9,1,8,1,7,1,13,1,6,1,29,1,13,1,7,2,24,1,8,1,13,1,8,1,13,1,24,1,8,2,13,3,6,1,13,2,8,4,13,1,24,1,8,1,24,3,12,1,9,1,17,9,12,1,13,1,6,1,13,1,8,1,6,1,29,1,6,1,13,1,24,1,13,1,24,4,9,2,12,1,17,1,12,3,24,1,9,1,8,2,12,3,9,3,10,1,12,2,10,1,12,1,24,1,8,1,12,2,9,1,12,2,10,1,17,1,12,1,24,1,10,3,12,1,9,1,11,1,8,1,10,1,12,1,10,1,12,1,17,1,9,1,17,1,12,1,17,9,10,1,11,2,9,2,12,1,9,4,10,1,9,1,12,1,9,1,12,1,17,3,11,1,8,2,29,1,13,1,24,1,13,1,24,1,6,2,7,1,6,2,29,1,13,1,7,1,8,2,24,1,8,1,24,1,8,1,13,1,7,1,29,1,30,2,29,1,28,3,30,1,28,1,6,2,8,1,13,4,8,1,13,1,8,2,13,1,8,2,9,2,10,1,11,1,10,1,9,3,13,1,8,1,9,2,10,1,17,3,10,1,24,1,7,1,13,2,8,1,6,1,13,1,24,1,8,1,13,1,9,1,8,1,13,1,9,1,8,5,13,1,6,1,8,3,13,1,8,1,24,2,8,1,6,1,28,1,25,1,26,1,27,1,30,1,29,1,30,4,29,1,28,2,25,1,29,2,27,1,28,1,27,1,30,1,28,4,30,1,28,2,27,2,30,2,27,2,8,1,25,1,24,1,13,2,24,2,13,1,24,2,9,1,24,2,9,2,16,1,12,2,16,1,9,1,16,1,10,2,12,1,9,1,11,1,9,1,8,1,9,1,17,1,9,2,16,3,11,1,17,1,11,1,16,3,17,1,11,1,17,1,16,1,17,1,11,3,16,2,17,1,16,1,17,7,16,1,17,14,16,1,17,1,16,1,17,31,12,1,10,1,17,3,24,1,9,1,24,1,13,2,28,1,30,1,13,3,8,1,13,1,24,2,9,1,10,1,9,1,8,1,10,1,7,2,8,1,7,1,13,2,10,1,24,1,9,1,17,1,12,1,10,1,17,1,11,1,17,1,10,1,17,15,12,1,17,5,12,1,17,1,10,1,17,2,11,1,17,7,12,1,10,1,12,1,10,1,11,1,10,2,12,1,9,1,10,1,8,1,24,1,12,1,9,1,7,1,8,1,13,1,7,1,8,1,24,1,6,1,24,1,13,3,8,1,6,1,8,2,7,2,9,1,13,3,8,1,10,1,8,1,24,1,8,1,10,1,24,2,12,1,9,1,24,1,12,1,13,1,8,2,24,2,8,1,13,3,8,1,6,1,8,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,7,1,6,1,7,1,6,4,7,4,13,1,6,1,7,2,30,1,7,3,8,1,24,1,13,2,8,1,10,1,8,1,13,1,24,1,13,1,10,1,12,1,9,2,17,2,12,1,17,3,12,1,17,1,10,1,9,1,12,1,8,2,7,1,8,2,13,3,6,1,28,3,13,1,5,19,13,1,28,9,30,1,8,1,16,1,17,2,16,1,11,1,10,1,9,3,8,1,6,1,13,1,8,1,9,2,10,1,16,1,17,2,6,1,28,5,13,1,17,1,24,1,28,22,}, {30,1,28,4,30,1,28,8,6,1,30,1,28,1,30,1,28,1,30,1,29,2,28,1,29,2,6,1,8,1,12,1,10,1,24,1,17,1,9,1,10,1,13,1,6,1,29,1,13,1,6,2,8,1,16,1,17,1,15,1,10,1,9,1,10,1,9,2,13,2,30,1,6,1,7,1,9,2,30,2,29,1,30,1,7,1,6,1,13,1,11,1,13,1,8,1,9,1,30,1,13,2,7,1,13,1,8,1,10,1,17,1,10,1,9,1,8,1,12,1,17,1,14,2,10,1,6,1,30,1,28,1,30,2,28,5,29,1,30,3,28,4,30,1,6,2,28,1,29,2,28,1,7,1,29,1,7,2,13,1,7,1,12,1,17,1,24,1,29,1,6,1,13,1,6,2,29,1,8,1,17,4,11,1,9,1,12,1,8,1,13,1,9,1,13,1,6,1,24,1,7,1,9,1,12,2,14,2,8,1,30,1,29,1,30,1,28,2,29,1,28,3,30,1,28,1,13,1,28,2,6,1,5,1118,28,3,13,1,28,3,30,1,28,2,13,2,28,4,29,1,8,1,10,1,8,1,6,1,13,1,6,1,13,2,8,1,13,2,7,1,29,1,13,1,17,1,8,3,13,2,9,1,8,1,10,1,24,1,17,1,7,1,6,1,8,1,24,1,25,1,30,1,29,2,7,1,8,1,24,1,8,1,6,2,28,2,30,2,28,1,7,2,6,3,13,3,24,1,8,1,13,1,24,2,8,1,9,1,24,1,8,1,24,1,7,1,27,1,29,1,27,1,29,2,28,1,6,1,25,1,26,2,8,1,6,1,7,1,8,1,24,1,10,1,24,3,17,1,10,1,11,1,9,1,17,1,9,1,10,1,9,1,11,1,16,1,17,3,16,1,17,1,10,1,17,3,28,5,30,1,7,1,29,1,28,4,12,1,11,1,17,4,12,1,29,1,28,3,30,1,6,1,13,2,29,1,30,1,6,1,30,1,28,28,13,2,9,2,8,1,13,1,28,20,30,1,6,1,28,1,30,3,13,2,6,1,30,2,13,2,6,1,13,1,7,1,13,1,6,1,28,9,13,1,30,1,13,2,28,5,30,3,28,1,30,1,6,1,30,1,6,2,28,1,30,1,13,1,6,1,13,4,6,1,30,1,28,1,30,3,13,2,6,1,28,5,30,1,28,1,6,1,28,1,13,3,6,1,13,11,9,1,11,1,9,1,17,1,11,1,9,1,13,1,9,2,13,1,28,1,6,1,30,2,28,87,30,2,28,1,6,1,30,1,28,3,29,1,30,2,6,2,7,2,6,1,29,1,6,1,30,2,29,1,13,2,6,1,13,2,6,2,7,1,6,1,7,2,6,1,30,2,13,1,6,2,8,1,7,1,13,1,7,1,13,2,7,1,30,2,6,1,29,1,30,1,28,1,6,1,7,3,6,1,7,1,28,1,6,1,28,1,6,1,29,1,13,1,7,1,6,1,13,3,6,1,13,4,9,2,8,1,9,2,8,1,10,1,11,1,17,2,12,1,17,3,12,1,10,1,17,1,10,1,8,1,13,2,7,1,13,1,6,1,8,1,13,1,24,1,13,1,24,1,13,1,8,3,13,1,8,1,24,1,13,1,8,1,7,1,8,3,24,1,8,4,13,1,24,1,8,1,24,1,10,1,24,1,8,1,12,1,17,1,12,1,17,1,12,1,17,2,11,1,17,1,8,1,7,1,24,1,8,1,7,1,6,3,10,1,24,2,10,2,17,1,10,1,12,1,24,1,10,1,17,1,9,1,11,1,10,3,12,1,24,1,10,1,12,1,9,1,12,1,24,1,12,1,8,1,10,2,9,1,12,4,24,1,12,1,9,1,17,1,12,2,24,1,12,1,17,1,10,1,17,1,10,1,12,1,10,2,8,1,9,1,12,1,17,1,12,1,9,1,16,1,17,6,10,1,17,1,11,1,12,1,17,1,12,1,9,1,11,1,9,1,12,1,11,1,17,1,12,2,11,1,12,1,17,1,9,1,12,2,17,1,24,2,8,1,6,1,8,2,13,2,29,1,6,1,7,2,29,1,6,1,13,1,7,1,8,2,24,1,13,1,7,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,6,1,7,1,13,2,7,1,8,1,13,2,9,1,13,1,24,1,13,1,8,2,10,1,8,1,11,1,9,3,10,1,9,2,13,1,8,1,9,3,12,1,17,1,11,1,24,1,6,1,7,1,13,3,24,3,8,2,9,4,8,4,7,1,8,1,6,1,13,1,6,1,8,1,24,1,10,2,13,1,7,1,29,1,26,1,27,1,29,2,30,1,27,1,28,1,27,1,28,1,29,2,25,1,29,1,30,1,28,1,27,1,29,1,27,1,30,1,28,2,29,1,28,3,30,1,28,1,30,1,29,1,28,1,25,1,8,1,26,1,8,2,7,1,8,2,13,2,11,1,8,1,9,1,8,1,24,1,9,2,11,1,17,1,11,1,9,3,8,1,9,3,10,1,9,1,10,1,8,1,10,1,9,1,17,1,16,1,9,1,17,2,16,2,17,2,16,2,11,4,16,1,11,1,16,1,11,2,16,2,17,1,16,1,17,12,16,1,17,8,16,1,17,9,12,1,17,2,11,1,17,2,11,1,17,22,12,1,17,1,10,1,9,1,8,2,13,1,8,1,9,1,13,2,8,1,9,1,13,1,24,1,8,2,12,1,8,1,7,1,17,1,8,2,10,2,17,1,12,1,17,19,12,1,17,6,12,1,17,4,12,1,17,1,12,1,17,1,12,1,17,1,12,2,11,1,12,1,17,1,12,1,11,1,17,1,10,1,24,1,10,1,24,2,12,1,8,1,13,1,8,1,6,1,13,4,7,1,13,1,7,2,8,2,7,1,24,1,8,2,9,1,7,1,24,1,9,1,24,1,9,1,8,1,10,1,8,3,24,3,12,1,10,1,12,1,10,1,11,1,12,1,10,1,9,1,13,1,24,1,9,2,13,1,8,1,7,1,8,1,13,1,7,2,13,2,7,1,13,1,6,1,7,1,30,1,7,2,13,1,6,1,29,1,13,2,7,1,29,1,7,1,30,1,7,2,13,2,7,2,13,4,24,1,6,1,24,1,13,3,24,1,8,1,24,1,12,1,10,1,12,1,17,2,12,1,17,1,12,3,11,1,13,1,10,1,24,3,8,2,13,2,8,1,6,1,28,3,5,19,13,1,28,9,29,1,13,1,14,1,17,2,16,1,11,1,10,1,11,1,10,1,13,1,8,1,7,1,13,2,8,1,9,1,17,1,12,1,11,1,17,1,6,1,28,5,9,1,12,1,8,1,29,1,28,21,}, {6,2,28,1,6,1,28,3,30,2,28,6,6,2,30,1,28,3,6,1,30,1,29,1,6,1,13,1,8,1,10,2,12,1,17,1,12,1,15,1,13,1,8,1,13,1,6,2,30,1,7,1,11,1,17,2,9,1,24,1,10,1,24,1,8,1,9,1,13,1,29,1,13,1,7,1,9,1,8,1,6,3,30,1,29,1,7,1,24,1,12,1,17,1,9,1,13,1,29,2,30,1,13,1,6,1,13,1,17,2,9,2,13,1,9,1,14,1,17,1,14,1,17,1,28,1,30,1,28,1,29,1,28,5,30,1,29,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,28,1,6,1,29,1,6,1,7,1,24,1,13,2,7,1,13,1,17,3,24,1,8,1,13,2,6,1,30,1,9,1,17,5,11,2,24,1,13,4,8,1,13,1,9,2,12,1,17,2,13,1,7,1,29,1,28,2,30,1,28,4,30,1,28,4,6,1,5,1117,28,5,30,1,28,4,6,1,30,1,28,5,8,1,9,2,13,5,24,1,7,1,8,2,13,1,7,1,17,1,11,1,7,1,13,2,6,1,7,1,24,1,10,1,9,1,24,1,17,1,8,1,6,1,13,1,24,1,8,1,6,2,13,1,6,1,13,2,6,1,30,1,28,6,29,1,6,1,29,1,30,1,8,1,7,1,8,1,24,1,6,1,8,1,24,1,10,1,24,2,10,1,13,2,24,1,26,1,29,1,28,2,29,1,28,1,29,1,30,1,28,4,27,1,26,1,7,1,6,1,7,2,9,2,17,1,9,2,17,1,9,1,11,1,16,1,17,1,11,1,16,1,17,4,16,2,17,2,13,1,28,5,30,1,6,1,28,2,30,1,13,1,10,1,17,4,9,1,17,1,10,1,30,1,28,2,30,1,28,1,30,1,29,1,13,1,7,2,6,1,28,28,13,1,9,3,10,1,13,1,28,22,7,1,6,1,13,1,30,1,6,1,7,1,9,1,13,6,6,1,13,1,6,1,30,1,6,1,30,1,28,6,6,1,13,1,6,3,28,3,6,1,30,3,6,1,30,2,13,1,28,1,6,1,13,2,6,1,13,1,9,1,11,2,16,1,17,1,16,2,6,1,30,1,28,1,30,1,6,1,30,1,6,1,28,4,30,1,6,2,7,1,13,3,6,1,13,7,9,1,6,1,13,2,9,1,13,1,9,1,17,1,9,3,16,2,6,3,29,1,28,92,7,1,30,1,28,2,6,1,30,1,28,1,30,1,6,4,30,1,7,1,6,1,7,1,28,1,6,1,30,1,13,1,30,1,13,2,6,2,13,1,30,1,7,1,29,2,6,1,29,2,6,1,7,1,6,1,30,1,13,1,7,1,30,1,6,1,30,2,6,1,28,2,6,2,7,1,6,1,30,2,28,1,7,1,6,1,7,1,13,1,7,1,30,1,7,1,13,10,9,3,13,1,10,1,11,1,17,1,9,1,10,1,12,1,9,1,10,1,13,1,9,3,13,1,9,1,24,2,9,2,8,1,12,1,8,1,24,1,8,2,7,1,24,1,7,1,6,1,24,1,7,1,8,2,29,1,7,1,8,1,24,1,8,1,7,1,13,1,7,1,24,2,8,2,24,1,6,1,8,1,10,1,24,1,10,1,9,1,24,1,17,4,9,1,10,1,24,2,6,2,25,1,6,1,7,1,29,1,8,1,24,1,10,1,24,1,12,2,17,2,15,1,12,3,24,1,12,1,24,1,10,1,12,1,9,1,10,1,9,1,24,1,12,1,24,2,10,1,17,1,9,1,10,1,17,1,24,1,10,1,9,1,10,1,17,1,12,1,9,1,11,1,12,2,9,1,10,1,8,1,12,1,10,1,12,1,8,1,10,1,11,1,12,1,10,1,17,1,10,2,17,1,12,1,17,7,12,3,10,1,9,2,17,1,9,1,11,1,12,1,9,1,24,1,9,1,11,1,9,1,17,1,12,2,17,1,8,1,24,1,13,1,7,1,8,1,13,1,8,2,7,1,29,1,6,3,7,2,8,3,13,1,6,1,28,1,30,1,28,2,30,1,28,6,30,1,28,3,13,2,7,1,13,2,6,1,13,2,24,1,9,1,13,1,8,1,13,1,9,1,8,1,11,1,9,1,11,2,9,1,8,1,11,1,9,1,8,1,9,1,8,2,9,1,17,2,10,1,6,2,13,2,8,1,9,1,13,1,8,1,10,1,9,1,10,1,9,2,13,1,24,1,13,3,8,1,6,1,13,2,8,1,24,1,7,1,24,1,8,2,29,1,27,2,25,1,29,1,27,1,29,2,28,1,29,2,30,1,29,1,30,1,29,1,30,1,26,1,30,1,29,1,27,1,30,2,28,2,30,2,28,2,29,1,30,1,28,1,26,1,8,1,25,1,8,1,29,1,24,2,8,1,13,1,8,1,24,1,9,1,8,1,9,1,8,3,10,1,9,3,11,1,9,1,10,1,9,2,24,1,9,2,12,1,8,2,9,1,10,1,12,2,11,4,16,3,11,1,16,1,11,2,17,1,16,3,9,1,11,2,16,1,11,1,16,2,17,9,16,1,17,26,11,1,17,23,11,1,17,1,12,1,11,1,17,1,13,1,9,1,10,1,13,2,8,1,12,1,8,1,9,1,12,1,9,1,10,1,12,1,9,2,12,5,17,19,12,1,17,1,12,1,17,2,9,1,17,1,12,2,17,2,12,3,10,1,9,1,12,1,17,1,10,1,11,1,8,1,12,1,8,1,11,1,10,1,9,1,12,1,10,1,24,1,8,1,24,3,13,1,24,1,13,1,8,1,7,1,6,2,7,2,13,1,24,3,8,2,10,1,8,1,10,1,9,2,12,2,17,1,10,1,12,1,8,1,17,1,11,1,10,1,9,1,17,1,12,1,17,1,12,1,10,1,17,2,12,2,10,1,12,1,10,1,24,1,10,1,9,1,8,1,10,1,9,1,13,1,6,1,13,1,24,1,8,1,7,2,24,1,13,2,7,1,6,3,30,1,6,1,7,1,6,2,13,1,6,1,13,1,6,1,7,1,6,2,7,2,6,1,7,1,30,2,13,2,7,1,13,1,6,1,13,1,6,1,13,1,24,1,8,1,9,1,12,1,10,1,12,1,10,1,12,1,17,1,12,1,11,1,12,1,10,3,24,2,8,1,13,3,7,1,13,2,30,1,28,2,5,18,13,1,28,10,8,1,17,3,12,1,17,1,10,2,9,1,8,1,13,2,7,1,9,1,13,1,9,1,12,1,11,1,17,2,30,1,28,5,11,1,14,1,8,1,28,22,}, {7,1,13,1,7,1,28,1,6,2,28,1,6,1,28,7,13,1,29,1,6,1,28,1,29,1,30,1,28,1,29,1,7,1,6,2,24,2,8,1,12,1,17,1,12,1,11,1,13,1,6,3,29,2,7,1,17,2,11,2,15,1,10,1,9,2,8,1,13,1,6,2,30,1,15,1,24,1,13,1,30,1,28,1,30,1,6,1,8,1,10,1,17,2,11,1,24,1,13,1,6,1,7,1,29,1,6,1,9,1,17,2,12,1,9,1,8,2,9,1,17,1,14,1,16,1,6,1,30,1,28,2,30,1,28,5,29,1,7,1,29,2,30,3,28,3,6,2,7,1,6,1,28,1,6,1,7,1,24,1,13,1,7,1,8,1,17,2,10,1,6,1,7,1,6,4,13,1,17,4,16,1,17,1,9,3,8,2,9,1,13,1,9,1,24,1,13,1,12,1,17,2,10,1,6,1,30,1,6,1,30,1,28,2,30,2,28,2,30,2,28,3,5,1116,13,1,28,2,30,2,28,4,30,1,29,1,30,1,28,1,30,1,28,4,13,1,9,2,7,1,8,1,9,1,13,2,9,1,17,2,8,1,13,1,17,2,8,1,13,1,7,2,30,1,13,1,9,1,12,1,9,1,24,1,17,1,24,1,7,1,24,1,25,1,8,1,30,1,29,1,7,1,6,1,7,1,28,1,6,1,30,1,28,4,30,1,28,1,30,1,28,1,29,1,7,1,6,1,13,1,29,1,7,1,13,1,24,1,13,1,8,1,24,1,8,1,24,1,13,1,9,1,8,1,29,1,28,1,30,1,28,5,30,1,28,3,30,1,25,3,13,1,24,1,8,2,10,1,12,1,10,1,12,2,11,1,16,1,17,2,16,2,17,2,16,1,17,1,16,1,17,2,9,1,28,8,30,1,9,1,12,1,17,7,30,1,28,4,6,1,30,1,6,3,7,1,28,6,30,1,28,19,6,1,13,2,9,2,13,3,30,1,28,24,13,1,6,1,30,1,13,5,6,1,13,6,6,1,7,1,30,2,28,4,13,1,6,1,30,1,13,1,28,4,6,3,28,1,30,2,28,2,30,1,6,1,13,3,9,1,16,2,11,1,17,1,11,1,16,2,11,1,13,1,28,1,6,3,28,1,6,2,28,1,6,1,30,1,6,1,13,1,30,1,13,3,9,1,13,6,9,1,8,2,10,1,9,1,13,1,11,3,9,1,13,1,8,1,30,2,28,88,30,1,29,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,1,13,1,30,2,6,1,30,1,6,1,7,1,30,1,29,1,7,1,6,2,13,1,30,1,6,1,13,1,30,1,13,1,7,1,30,1,6,1,30,1,13,1,30,1,6,1,28,1,7,1,30,1,7,2,13,1,30,1,6,1,29,2,6,1,30,1,29,1,30,1,6,1,29,1,6,1,29,1,30,1,6,1,13,1,6,1,7,1,30,1,7,1,6,1,13,2,7,1,13,4,9,2,8,1,10,1,9,1,13,1,9,1,10,1,9,1,17,1,13,1,9,1,13,1,6,1,8,1,13,2,8,1,13,2,8,1,13,3,8,1,7,1,9,1,8,3,13,1,7,1,13,1,8,1,13,1,24,1,8,1,13,1,8,1,24,1,13,2,8,2,7,1,24,1,8,1,6,1,10,1,7,1,24,2,8,3,24,1,10,1,12,2,10,1,12,1,17,3,12,1,8,2,12,1,13,1,27,1,6,1,8,1,6,1,25,1,7,2,10,2,12,1,17,1,12,1,15,1,17,1,12,1,10,2,17,1,24,3,10,1,8,1,9,1,12,1,24,1,12,1,24,1,17,1,9,4,10,1,12,2,24,1,10,1,12,2,17,1,24,1,12,1,9,1,12,1,24,1,12,1,17,1,24,1,8,1,12,1,9,2,11,1,17,1,11,1,9,1,11,2,17,6,12,1,17,4,12,1,11,1,10,1,9,1,12,1,10,1,11,1,17,1,11,1,12,2,11,1,12,2,17,2,9,1,8,1,13,1,7,1,8,1,24,1,13,1,10,1,6,1,29,1,6,1,7,1,6,1,7,1,6,1,24,1,8,1,6,1,28,5,30,1,28,5,30,1,6,1,29,1,30,1,28,1,6,1,7,5,8,2,7,1,24,2,8,1,9,2,8,1,9,2,8,1,9,1,10,1,11,1,9,1,11,1,9,2,13,1,9,2,8,1,10,1,12,1,10,1,13,1,7,1,8,1,13,1,24,1,8,1,9,3,13,1,8,1,9,2,8,3,13,3,6,1,13,1,7,1,6,1,24,1,8,2,10,1,8,1,7,1,30,1,29,1,27,1,29,1,27,1,30,1,29,1,25,1,26,1,30,1,27,2,29,1,27,1,29,1,27,1,29,3,28,1,30,2,28,1,30,2,28,1,30,1,28,2,29,1,25,1,8,1,25,1,8,1,24,1,13,1,8,3,24,3,8,1,9,1,13,1,8,1,10,1,24,1,10,1,9,1,10,1,8,2,24,1,10,1,11,1,8,2,9,1,13,1,8,1,9,3,8,1,12,1,16,1,11,1,17,1,16,4,11,1,16,1,17,1,11,3,9,1,16,1,11,2,16,2,11,1,16,1,11,1,17,18,16,1,11,1,17,7,16,1,17,5,12,1,17,30,11,1,12,1,17,1,10,2,24,1,9,1,24,1,10,1,13,1,10,1,12,1,11,1,12,1,17,19,12,1,17,8,12,1,17,1,12,4,17,1,11,1,17,1,8,1,9,1,10,1,8,1,10,2,9,2,10,1,9,1,24,2,8,1,10,1,24,2,10,1,13,1,24,2,13,1,8,2,13,2,8,1,7,1,8,1,24,1,8,1,24,1,8,2,13,1,8,1,13,2,10,1,8,1,12,1,10,1,17,1,11,1,17,2,11,1,12,3,17,5,11,1,17,1,12,1,17,2,12,1,17,4,9,1,17,1,12,2,8,1,12,1,8,2,9,1,8,1,24,3,8,1,24,1,13,1,7,1,8,1,13,1,7,1,8,1,13,1,6,1,8,1,6,1,7,1,13,1,7,1,13,1,30,1,7,1,6,1,7,1,13,1,7,4,6,1,13,1,7,1,13,1,7,1,29,1,7,1,6,1,29,1,8,3,9,2,11,1,10,1,9,1,11,1,12,1,9,1,12,2,10,2,8,2,9,1,8,1,7,1,8,1,13,1,7,3,28,1,30,1,5,17,28,7,30,1,28,3,9,1,14,1,17,1,12,1,17,1,10,1,17,1,10,1,8,1,13,3,8,1,13,2,9,2,17,1,12,1,17,1,30,1,28,5,15,1,14,1,7,1,28,3,30,1,28,18,}, {30,1,29,1,30,2,6,5,28,3,6,2,13,1,7,1,30,3,28,3,6,2,28,1,7,1,8,1,24,1,8,1,10,1,17,2,9,1,24,1,29,1,6,2,29,1,6,1,30,1,12,1,14,1,17,1,9,1,24,2,8,3,7,1,6,3,14,1,15,1,13,1,6,1,28,1,29,1,7,2,11,1,24,1,9,1,10,1,24,1,9,1,6,2,7,1,8,1,6,1,16,1,17,1,9,3,8,2,17,2,16,1,7,1,30,1,28,1,6,1,28,4,30,1,28,3,29,2,30,2,29,1,30,1,6,4,29,1,6,1,29,1,7,1,6,1,24,1,6,1,13,1,8,1,17,1,14,1,10,1,13,2,6,4,7,1,12,1,17,4,12,2,9,1,8,1,13,1,8,4,11,1,9,1,17,1,9,1,17,1,8,1,6,1,29,1,30,2,28,1,6,1,29,1,28,8,5,1116,28,7,30,1,28,3,30,2,28,3,8,1,13,1,24,1,8,1,9,1,17,1,7,1,13,1,9,1,11,1,12,1,9,1,8,2,10,1,11,1,17,1,13,1,30,1,6,1,7,1,13,1,7,1,17,1,24,1,9,1,12,1,17,1,12,1,8,1,13,2,7,2,29,1,6,2,30,2,28,9,29,1,30,2,6,1,13,1,6,1,8,1,13,3,9,1,13,1,24,1,8,4,6,1,30,1,28,1,29,1,30,1,28,2,30,1,28,1,30,2,28,1,29,1,28,1,26,1,29,1,7,1,8,1,7,1,24,1,13,1,24,1,12,1,17,1,10,1,17,1,16,2,17,1,16,1,17,1,16,1,17,4,16,1,17,1,13,1,28,7,29,1,13,1,17,6,10,1,12,1,9,1,30,2,28,1,30,1,28,1,6,2,28,1,6,1,30,1,6,1,30,1,28,2,30,1,28,8,30,1,28,10,30,2,13,2,9,2,13,3,9,1,6,2,28,24,30,1,13,1,6,1,8,1,11,1,13,2,6,1,13,5,9,2,13,2,30,1,6,1,30,1,28,1,7,1,13,1,30,1,6,1,30,1,28,5,30,1,6,2,30,1,13,1,30,2,13,4,8,1,11,1,16,1,17,1,16,1,11,1,9,4,11,1,9,1,6,3,30,1,28,1,30,1,7,1,30,2,13,1,6,1,7,1,13,2,9,1,8,1,9,3,8,1,9,1,13,2,9,2,10,1,13,1,9,2,16,2,9,1,30,1,7,1,13,1,28,95,30,1,28,1,30,1,6,1,28,6,30,1,7,1,29,1,13,1,30,1,13,1,28,1,13,1,30,1,6,1,28,1,7,1,29,1,7,1,28,1,29,1,6,1,30,1,6,2,29,2,6,1,29,1,28,1,6,2,13,1,30,1,7,2,30,1,6,1,7,1,30,3,28,2,13,1,30,1,6,2,30,1,7,1,28,1,6,1,7,1,6,1,13,1,6,2,13,2,8,1,13,2,8,1,13,1,9,2,8,1,9,1,10,1,12,1,13,1,9,1,6,1,28,2,30,1,7,1,6,3,8,1,6,3,7,1,6,1,7,1,8,4,7,2,8,2,13,1,7,1,6,1,13,1,6,1,10,2,24,1,8,4,13,1,8,2,6,1,24,3,13,1,8,2,24,2,9,1,10,1,9,1,12,1,17,2,12,1,17,1,12,1,9,1,8,1,13,1,24,1,25,1,28,1,6,1,26,1,25,1,29,1,25,1,13,1,7,1,8,1,13,3,8,1,10,2,24,4,12,1,24,3,12,1,24,1,12,1,24,1,12,1,10,4,12,1,17,1,10,1,9,1,10,2,12,1,17,1,12,1,9,1,12,1,24,1,11,1,10,1,12,1,9,1,10,1,11,1,12,1,9,1,11,1,17,1,10,1,9,1,10,1,11,1,9,1,17,6,11,1,12,1,17,1,11,1,17,1,11,1,10,1,11,1,9,1,17,1,9,1,17,1,13,1,9,1,12,1,11,1,12,1,17,2,12,2,24,1,13,1,6,2,7,1,8,1,24,1,8,1,6,4,29,1,13,3,24,1,6,1,28,4,30,1,28,2,6,1,29,2,30,1,29,1,6,2,13,1,28,1,13,1,6,1,8,1,13,1,7,1,8,3,24,1,13,1,8,3,9,1,8,2,9,1,11,1,12,1,11,1,10,2,8,1,11,1,10,1,8,1,10,1,8,1,13,1,10,1,11,2,12,1,13,2,7,1,13,1,8,3,9,1,8,2,13,2,8,1,13,1,8,1,13,1,6,1,13,1,6,2,7,1,24,1,8,1,24,1,8,1,24,1,6,1,29,1,27,1,26,1,27,1,29,1,24,1,27,3,25,1,26,1,27,1,25,1,30,1,25,1,29,1,30,1,25,1,30,1,25,2,27,1,28,1,29,1,30,1,29,1,26,1,29,2,30,1,26,1,25,1,27,1,8,1,25,1,8,1,7,1,13,1,24,1,8,1,24,2,8,1,24,2,9,1,13,1,10,1,9,2,8,1,9,8,13,1,9,2,10,1,8,2,11,1,9,1,16,1,11,2,16,1,17,1,16,1,17,1,16,1,11,1,16,2,11,2,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,11,1,17,1,11,1,17,14,16,1,17,3,16,1,17,2,16,1,17,6,11,1,16,1,17,5,11,1,17,30,10,1,17,2,9,1,12,1,10,1,17,7,12,1,17,1,12,1,17,14,12,1,17,2,12,1,17,4,12,1,17,1,12,4,10,1,9,1,10,1,24,1,10,1,9,1,24,1,10,1,9,1,13,1,10,1,8,1,13,1,8,1,24,1,9,1,10,1,13,1,8,1,10,1,24,1,8,1,9,1,8,1,9,1,8,1,13,1,8,1,6,1,24,1,7,1,8,1,24,1,13,1,10,1,12,1,10,1,9,1,10,1,11,2,17,1,12,1,11,1,17,3,11,1,17,2,11,1,17,10,12,1,17,4,12,1,17,4,12,2,17,1,12,1,10,1,17,1,24,1,12,1,24,1,13,1,10,1,12,2,24,1,10,1,11,1,24,1,8,2,9,1,13,3,7,2,13,1,7,4,6,1,7,1,13,1,8,1,7,1,13,2,7,1,13,1,30,1,6,1,7,1,30,1,7,1,6,1,30,1,13,1,8,1,24,1,10,1,9,1,8,1,9,2,10,1,12,3,10,1,24,2,8,1,24,1,8,1,13,1,8,1,13,1,7,1,13,1,30,1,5,17,28,7,30,1,28,3,9,1,17,3,11,1,12,1,17,1,11,1,13,2,8,3,9,1,8,1,11,1,12,2,17,1,12,1,28,6,10,1,14,1,6,1,28,1,30,1,28,20,}, {28,1,8,1,28,1,6,1,28,1,13,1,30,2,6,1,28,4,29,1,8,1,24,1,29,1,28,1,30,2,6,4,30,1,6,1,13,2,8,1,9,1,17,2,16,1,8,1,6,1,13,1,30,2,13,1,7,1,10,1,14,1,15,1,13,1,12,1,11,1,24,1,9,1,8,2,6,3,12,1,14,1,7,1,6,1,29,1,6,1,29,1,13,1,9,2,17,1,16,1,24,1,8,1,13,1,6,1,24,1,8,1,13,1,24,1,12,1,11,1,15,1,13,2,9,1,11,1,17,1,12,1,24,1,29,1,28,3,30,1,28,1,30,1,28,10,30,2,6,2,30,1,6,1,30,1,7,1,8,2,7,1,24,1,13,1,15,1,14,1,15,1,8,1,13,1,7,1,13,1,6,1,30,1,13,1,17,4,10,1,17,1,8,1,11,1,9,2,8,2,9,1,13,1,8,1,9,1,12,1,17,1,9,2,6,1,29,1,28,2,30,1,28,1,30,1,6,1,28,2,30,1,28,4,9,1,5,1114,28,2,30,2,28,5,30,1,28,2,29,1,28,3,30,1,12,1,8,2,11,1,17,1,11,1,13,2,9,1,12,1,8,1,13,1,24,1,8,1,10,1,12,1,17,1,30,1,29,1,6,1,29,1,7,1,6,1,17,1,13,1,8,1,24,1,10,1,17,1,24,1,7,1,8,1,6,2,13,1,6,1,7,1,28,1,30,1,28,9,30,1,29,2,6,1,29,1,7,2,13,1,8,3,13,2,8,1,24,1,8,1,25,1,30,2,29,1,28,5,30,1,28,3,30,2,27,1,25,1,27,1,24,1,13,1,8,2,12,1,11,1,17,1,9,1,17,4,11,1,16,2,17,3,16,1,11,1,17,2,28,6,29,1,13,1,10,1,17,8,6,1,28,4,30,2,29,1,6,1,13,1,6,2,7,1,28,8,30,1,13,2,9,2,13,1,6,1,28,1,30,3,13,4,9,3,13,6,6,1,28,26,13,1,30,1,13,1,9,1,7,1,9,1,13,1,11,1,9,3,11,1,9,1,13,3,6,1,13,3,6,1,13,1,30,1,28,1,30,1,28,4,30,1,13,1,30,1,13,1,6,1,13,2,6,1,13,3,8,1,13,1,11,1,17,2,11,2,9,1,13,2,9,2,11,1,9,1,13,1,6,1,7,1,6,2,29,1,13,2,7,1,13,1,9,1,11,1,16,1,9,1,11,1,9,3,13,1,10,1,9,3,11,1,9,1,13,1,9,1,17,1,11,3,28,1,7,1,29,1,28,91,6,1,28,1,30,2,28,2,30,3,28,4,6,1,9,1,6,2,7,1,28,1,13,1,6,1,29,1,6,1,30,1,13,1,28,1,6,2,29,1,6,1,30,1,13,1,29,2,7,1,28,2,7,1,29,1,28,2,6,2,13,1,6,2,29,1,6,1,7,1,30,1,6,1,13,1,6,1,30,2,6,1,8,1,30,1,7,1,13,1,6,1,29,1,13,2,6,1,13,1,8,1,13,1,7,1,10,1,13,2,8,2,9,3,8,2,29,1,28,3,30,1,28,2,6,1,30,1,28,1,6,1,7,1,30,1,24,1,6,1,7,2,8,1,7,1,8,1,30,1,6,1,13,1,6,2,8,1,29,1,13,1,8,1,13,2,8,1,24,1,12,1,8,1,24,2,8,1,24,1,8,1,9,1,24,1,8,1,24,2,8,1,24,3,12,2,9,1,17,3,12,1,17,1,24,1,12,1,8,1,24,2,6,1,29,1,26,1,29,1,8,1,25,1,6,3,28,6,30,1,6,1,13,1,24,1,9,1,24,2,10,1,8,1,9,2,17,1,24,1,9,1,17,1,12,1,17,1,12,1,9,1,24,1,11,1,17,1,11,1,12,1,10,2,12,1,11,1,9,1,10,1,11,1,12,1,24,1,9,2,12,2,11,1,12,1,10,2,8,1,17,1,9,1,16,1,17,7,11,1,17,3,12,2,9,3,17,1,10,1,24,1,12,1,17,1,12,2,17,1,12,2,17,1,13,3,29,1,7,1,24,2,30,1,7,1,6,2,7,1,6,1,13,2,10,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,7,3,6,1,7,1,8,2,13,1,7,2,13,1,8,4,13,1,24,1,8,2,9,1,13,1,9,1,8,1,24,1,9,1,8,1,9,4,11,1,9,1,10,1,9,3,8,2,13,1,9,1,8,1,24,1,8,6,9,1,8,2,13,1,8,2,9,2,13,3,29,1,8,1,24,1,7,1,13,2,24,1,8,1,13,2,6,1,26,2,25,1,27,1,26,1,25,2,27,1,26,1,27,1,29,1,27,1,26,1,25,1,29,6,25,1,27,1,29,1,27,1,29,1,26,1,29,3,25,2,8,1,24,1,25,1,8,1,24,1,9,1,10,1,8,2,24,1,8,1,24,1,13,2,12,1,8,1,10,1,11,1,9,3,11,1,9,4,13,1,9,3,8,1,9,3,11,2,17,1,9,1,16,3,11,1,16,1,17,2,16,3,11,1,16,5,11,2,16,3,17,17,11,1,17,3,11,1,17,16,11,1,17,31,12,1,17,10,12,1,17,15,12,1,17,1,11,1,17,2,11,1,17,2,9,1,11,1,10,1,11,1,12,1,8,1,24,1,8,1,10,1,12,1,24,1,8,2,10,1,9,1,24,2,9,1,10,1,9,1,10,2,12,1,10,1,13,1,12,1,24,1,9,1,24,1,12,1,8,1,24,1,12,1,24,1,10,3,9,1,17,1,11,2,12,2,17,11,12,1,17,11,12,1,17,6,12,1,17,9,12,2,17,2,11,1,12,2,11,1,10,1,12,1,11,2,13,2,24,1,13,3,8,1,7,1,30,1,13,1,7,1,6,1,7,1,13,1,7,1,13,2,7,1,13,1,7,2,6,1,29,1,30,2,6,1,29,1,6,2,13,1,8,1,9,1,24,3,11,1,12,4,10,1,8,1,9,1,11,1,10,1,12,1,17,1,10,1,24,1,13,1,6,1,13,1,5,16,28,11,9,1,14,1,17,3,10,1,17,2,13,2,6,2,8,2,9,1,16,1,9,1,17,2,9,1,28,6,14,2,6,1,28,22,}, {28,1,13,1,28,1,29,1,30,1,6,3,28,1,30,1,28,4,29,1,6,1,28,7,30,1,28,1,7,1,8,4,17,2,12,1,13,2,6,2,29,1,28,1,13,1,10,1,17,1,14,1,24,1,9,1,10,1,9,1,24,1,9,1,13,1,6,1,30,1,13,1,15,1,10,1,9,1,6,1,30,2,24,1,8,1,13,1,24,1,13,1,9,1,8,3,13,1,8,1,13,1,8,1,24,1,17,1,12,1,9,1,24,1,7,1,16,1,11,1,17,2,6,3,28,3,30,1,29,1,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,3,30,1,6,2,30,1,28,1,6,1,7,1,8,3,13,1,9,1,15,1,14,2,8,1,9,1,13,1,6,1,29,1,6,1,8,1,10,1,17,3,16,1,12,1,16,1,11,2,9,1,8,3,9,2,11,1,9,1,12,1,17,1,9,1,6,1,30,2,28,2,30,1,28,4,30,2,28,3,13,1,5,1113,28,3,30,1,28,2,30,2,28,2,30,2,28,5,13,1,12,1,7,1,13,1,9,1,12,1,13,1,8,1,9,1,12,1,24,1,11,1,8,2,12,1,10,1,12,1,17,1,28,1,6,2,29,1,13,1,8,1,6,1,8,1,12,1,17,1,12,1,17,1,10,1,7,2,6,1,7,1,13,1,6,1,29,1,28,1,30,1,28,7,30,1,28,3,29,1,6,1,7,1,6,1,7,1,13,1,8,1,7,1,8,1,7,1,8,1,24,1,8,1,25,1,27,1,29,1,30,1,28,10,30,2,28,1,29,1,30,1,7,1,24,1,13,1,8,1,9,1,11,1,17,1,11,1,17,1,8,1,16,3,17,5,11,1,17,3,28,6,8,1,9,1,17,6,11,1,17,1,9,1,30,1,29,1,30,1,6,1,29,1,13,3,11,1,10,2,9,2,13,1,6,1,30,3,13,4,17,1,16,2,13,3,6,1,13,2,9,1,13,1,8,1,13,2,9,1,13,3,9,1,13,1,9,1,6,1,13,1,6,1,28,25,30,1,6,2,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,2,10,1,13,2,9,1,13,3,6,1,13,1,6,1,7,1,6,1,30,2,28,3,6,2,13,5,9,4,13,3,16,1,17,1,11,1,13,1,11,1,13,3,8,1,6,1,17,1,8,1,13,1,7,1,6,2,30,3,8,1,13,1,9,3,11,1,16,1,11,1,16,1,9,1,16,1,9,2,10,1,11,1,9,3,11,1,16,1,17,1,11,2,13,1,28,1,6,1,28,86,29,1,28,11,30,1,28,1,30,2,28,1,8,1,12,1,13,1,6,1,30,1,6,1,28,1,6,1,30,1,6,2,30,1,7,1,6,1,13,1,30,1,13,1,6,2,29,1,6,1,13,1,7,1,28,1,30,1,29,1,30,1,6,2,13,1,6,2,30,2,7,1,30,1,6,1,7,1,30,1,13,1,28,2,8,1,6,1,7,1,6,2,30,1,13,1,28,1,6,4,13,1,8,2,9,1,13,1,9,2,10,1,9,2,8,1,13,1,30,3,28,5,30,1,28,1,29,1,28,1,6,4,28,1,29,1,6,3,13,2,6,1,7,3,30,2,29,1,6,1,28,1,6,1,29,1,13,1,10,1,24,1,8,1,24,1,8,1,10,1,13,1,10,1,9,1,8,1,9,1,8,1,10,1,8,1,12,1,24,1,17,1,12,2,17,5,9,1,24,1,13,1,24,1,8,1,6,1,29,2,6,1,25,2,7,1,28,10,30,1,7,1,8,1,10,1,12,1,8,1,24,1,10,1,24,1,12,2,17,1,12,1,17,1,8,1,17,1,12,1,17,1,12,1,13,1,9,1,17,1,12,1,9,1,12,2,24,1,10,1,9,1,17,1,12,1,10,1,11,1,10,1,9,1,17,1,8,1,17,1,9,2,11,1,12,1,17,8,12,1,17,1,12,4,9,1,17,1,11,1,9,1,17,2,10,1,11,1,12,1,10,2,12,1,17,2,13,1,7,1,6,2,8,2,9,1,13,2,6,3,24,1,13,1,8,1,24,1,28,4,29,1,6,1,7,1,13,4,8,1,13,1,8,1,13,1,8,1,24,1,8,1,24,1,13,1,24,1,13,2,8,1,9,1,13,1,8,1,13,3,9,1,8,2,10,1,9,5,11,1,10,1,8,1,9,2,8,1,9,2,8,1,9,3,10,1,8,3,9,1,8,2,11,1,13,2,8,2,10,2,8,1,6,2,7,1,13,1,29,1,13,1,6,1,24,1,8,1,6,1,13,1,8,1,29,1,25,1,27,1,25,1,26,1,8,1,27,1,25,1,26,1,27,1,25,3,27,1,25,1,27,1,26,1,27,4,25,1,29,1,27,2,28,1,29,1,27,1,30,1,8,1,30,1,26,1,25,1,7,1,13,1,24,1,13,1,6,1,8,2,13,1,8,1,24,1,7,1,10,1,9,2,8,2,9,5,24,1,9,1,11,2,8,2,9,1,11,1,9,1,10,1,11,1,9,1,10,1,11,2,16,1,11,1,16,4,17,1,16,1,11,1,16,1,11,1,16,1,11,1,10,1,17,1,11,2,16,1,11,1,16,2,17,1,16,1,17,17,16,2,17,14,12,1,17,5,12,1,17,20,12,1,17,5,11,1,17,8,12,1,17,17,12,1,17,1,12,1,17,2,10,1,17,1,11,1,17,1,12,4,8,2,24,1,10,1,8,1,24,1,8,1,10,1,13,1,8,1,24,1,9,1,10,1,24,1,10,1,7,1,12,1,17,1,10,1,12,1,24,1,10,1,9,1,10,3,17,1,10,1,17,1,12,2,17,1,12,1,17,42,11,1,17,3,12,1,17,11,11,3,12,1,11,1,9,2,13,1,24,1,8,1,9,1,13,2,8,1,13,1,7,1,13,1,8,1,13,1,8,1,6,1,8,1,7,3,6,2,28,1,29,1,6,1,30,1,29,2,13,2,8,1,9,1,11,2,12,1,17,1,12,3,9,1,24,1,12,1,10,1,9,1,24,2,8,1,13,3,5,15,28,10,30,1,16,1,17,6,11,1,6,2,13,1,8,1,9,5,17,2,8,1,28,6,14,1,15,1,7,1,28,1,30,1,28,20,}, {30,1,28,5,30,1,29,1,28,1,29,1,28,11,30,3,29,1,6,2,13,1,8,2,9,1,17,1,12,1,8,1,13,1,6,3,8,1,13,1,24,1,17,2,15,1,8,1,15,1,9,2,10,1,13,1,7,1,6,1,29,1,24,1,15,1,7,1,29,1,6,1,7,1,6,3,9,1,24,1,8,2,9,1,28,1,7,1,8,1,7,1,8,1,12,1,11,1,15,1,10,1,8,1,9,1,8,1,17,2,16,1,8,1,7,1,30,1,6,1,28,1,30,1,6,1,30,1,13,1,6,3,28,1,29,1,28,6,6,1,30,1,28,1,29,2,6,1,13,1,24,1,7,1,13,1,24,1,15,1,14,2,8,1,6,2,8,1,6,1,7,1,30,1,17,1,12,1,17,1,10,1,12,1,17,1,9,1,8,1,13,1,9,3,8,1,9,1,8,1,11,1,17,3,16,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,29,1,28,3,13,1,5,1113,28,2,30,1,28,2,30,1,28,3,6,1,28,7,17,1,8,1,13,1,8,1,17,1,12,1,8,1,10,1,12,1,9,1,8,1,24,1,8,1,7,1,11,1,17,1,24,1,17,1,9,1,28,1,7,1,6,1,8,1,6,2,10,2,17,2,12,1,17,1,12,1,13,1,6,1,7,1,13,2,30,1,28,11,30,1,28,1,6,2,7,1,28,1,7,1,29,1,7,2,8,1,24,1,8,1,6,1,8,1,7,1,8,1,27,1,30,1,28,6,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,29,1,8,2,24,1,12,1,10,1,12,1,10,1,12,1,17,1,16,1,17,1,16,2,17,4,16,1,17,1,16,1,17,2,28,6,8,1,12,1,17,5,11,2,17,1,8,1,30,1,6,1,29,1,6,1,8,1,11,1,10,1,16,2,17,4,16,1,9,5,11,1,9,1,11,1,16,2,11,1,17,1,16,1,17,1,16,1,11,1,9,2,13,1,9,1,13,5,6,1,13,1,30,1,6,1,30,1,28,28,30,2,13,3,9,2,8,1,13,2,6,1,28,2,30,1,13,2,30,1,13,2,28,1,29,1,13,1,6,1,30,1,29,2,28,2,30,2,13,1,6,1,13,5,8,1,13,3,9,1,17,1,16,1,10,1,13,2,9,3,8,1,9,1,17,1,9,1,13,6,30,1,13,1,10,2,17,1,16,2,11,1,16,1,11,6,9,1,11,3,16,1,17,1,11,1,17,1,9,1,30,1,28,95,30,1,28,4,29,1,28,3,13,1,10,1,28,1,30,2,6,2,28,1,13,1,6,1,7,1,29,1,6,1,30,2,7,1,30,5,6,1,13,1,6,1,29,1,30,2,6,2,28,1,13,1,30,4,29,1,13,1,6,1,13,1,6,1,7,1,30,1,13,1,6,4,13,1,8,1,28,1,6,1,13,1,8,2,13,1,9,1,13,1,9,2,8,1,9,2,11,1,9,1,7,1,13,1,28,5,30,1,28,7,30,2,29,1,27,1,29,1,28,1,8,1,29,1,25,1,29,1,25,3,29,1,7,1,30,1,6,1,29,2,28,1,6,1,29,1,8,2,12,1,9,1,10,2,12,1,9,1,12,1,24,1,10,1,9,1,10,1,24,1,17,1,11,1,10,1,17,4,12,1,17,3,9,1,8,1,7,1,8,1,13,1,6,1,25,1,28,1,30,1,25,2,7,1,29,1,28,10,7,1,8,2,9,1,24,1,8,1,9,1,8,1,10,2,17,1,9,1,17,1,11,1,12,1,17,1,9,2,11,1,10,1,8,1,17,1,12,1,9,2,13,1,11,1,10,1,8,1,17,1,12,1,10,1,12,1,9,1,8,1,10,1,24,1,8,1,10,1,9,1,17,12,12,1,11,1,10,2,9,1,17,1,9,1,17,1,9,1,17,1,9,2,17,1,12,1,17,1,12,2,6,1,7,1,29,1,8,3,13,1,29,1,13,1,6,1,7,1,13,1,8,2,9,1,28,2,30,2,28,1,30,1,13,2,24,1,13,1,9,1,8,1,13,1,8,1,9,1,24,1,10,1,9,1,11,1,9,1,8,1,13,1,9,1,24,1,8,1,24,1,8,1,24,1,7,1,8,2,24,1,8,1,9,1,13,1,9,3,10,1,9,1,12,1,9,1,10,2,9,1,8,1,9,2,13,1,8,2,13,1,10,1,9,2,8,1,9,1,10,1,8,1,9,1,13,2,7,1,9,1,10,1,9,1,11,1,6,2,29,1,13,1,7,1,6,1,30,1,24,2,8,1,13,1,7,1,6,1,29,1,26,1,27,1,29,1,25,1,27,1,26,1,27,1,25,1,29,1,27,1,25,1,30,2,27,1,29,1,27,1,26,2,27,2,25,1,27,1,29,1,25,1,28,1,27,1,25,1,27,1,8,1,25,1,8,1,24,1,7,1,24,1,13,1,24,1,13,1,24,1,8,1,13,1,8,1,24,1,13,1,24,1,11,1,10,2,8,1,9,2,17,1,24,1,8,1,9,1,12,1,8,1,10,1,9,1,11,1,10,1,16,1,11,4,16,1,9,1,10,1,16,1,11,1,17,1,16,1,11,1,16,2,10,1,11,1,16,2,17,1,16,1,17,1,16,1,11,3,16,1,17,17,11,1,16,2,11,1,17,5,16,1,17,17,11,1,17,49,12,1,17,3,9,1,10,1,11,1,12,1,17,1,12,3,24,1,9,1,24,1,8,1,24,2,8,1,24,2,8,2,13,1,11,2,9,2,17,1,8,1,12,2,10,2,12,2,8,1,12,1,10,1,12,1,17,8,12,1,17,1,12,1,17,60,12,2,11,2,12,1,10,2,9,2,24,1,13,3,24,1,8,1,9,1,13,4,6,1,13,1,30,1,6,2,7,1,29,1,28,1,6,1,29,1,7,1,13,1,7,1,10,1,9,1,11,1,12,1,10,1,12,1,10,1,11,1,10,3,11,1,10,1,12,1,9,1,13,2,9,1,5,14,28,2,29,1,28,8,16,1,17,5,24,1,9,1,13,1,6,2,7,1,9,1,24,1,9,1,17,1,9,1,17,2,8,1,28,6,14,2,28,1,30,1,28,1,30,1,28,19,}, {28,1,30,1,28,3,29,1,28,4,29,1,28,2,29,1,28,5,30,1,28,4,30,1,6,1,8,1,24,2,8,1,10,1,17,2,13,2,7,1,6,1,13,1,29,1,13,1,9,1,17,2,9,1,11,1,15,1,9,1,12,2,8,1,13,1,6,1,7,1,24,1,15,2,13,1,30,1,29,1,30,1,6,1,30,1,24,1,9,1,11,1,8,2,30,2,7,1,6,1,8,1,24,1,12,1,17,1,9,1,13,1,10,1,11,1,8,1,10,1,14,1,7,1,29,2,6,1,30,1,28,1,6,1,29,1,7,1,28,1,6,1,28,2,30,1,28,7,6,1,30,1,28,1,29,2,7,1,24,2,8,2,10,1,14,2,9,1,6,1,13,1,29,1,6,1,30,1,13,1,24,1,17,3,11,1,9,1,16,1,9,1,10,1,12,1,8,1,10,2,9,2,12,1,11,1,17,3,29,1,30,1,28,5,30,3,28,1,6,1,28,3,9,1,5,1112,30,1,28,3,30,1,28,1,30,1,28,3,30,2,29,1,28,5,17,1,7,1,13,1,9,1,8,1,9,1,12,1,9,1,17,1,9,1,24,1,9,1,13,1,10,1,9,1,11,1,9,1,12,2,24,1,9,1,8,1,6,2,7,2,24,1,17,2,12,1,17,1,12,1,17,1,13,1,24,1,8,1,6,1,30,1,28,13,30,1,6,2,13,1,7,1,8,2,7,1,8,1,30,1,6,2,7,1,25,2,30,1,28,9,27,1,30,1,29,3,27,1,6,1,7,1,24,2,10,1,9,1,11,1,17,1,12,1,17,7,16,1,17,1,11,1,17,1,10,1,17,2,28,5,6,1,9,1,17,9,6,1,30,1,28,1,6,1,9,2,11,1,17,10,16,3,17,1,16,1,17,3,9,1,11,1,9,1,13,5,6,1,13,1,7,1,30,1,28,4,6,1,28,31,30,1,6,3,13,1,6,1,13,3,28,3,30,1,6,1,29,1,13,3,29,1,30,1,28,1,30,1,6,3,28,1,30,1,28,1,30,1,8,1,13,8,9,2,13,1,9,1,11,1,9,4,11,2,13,1,9,1,13,1,9,2,11,1,9,1,13,1,7,1,13,1,6,2,9,1,16,1,10,1,9,3,11,2,9,1,11,4,13,1,11,1,16,1,11,5,9,1,13,1,28,1,30,1,28,97,30,1,28,2,30,1,28,2,6,1,30,1,28,1,30,1,7,1,30,1,29,1,6,3,30,1,7,1,30,2,13,1,29,1,6,1,28,1,6,1,13,1,6,1,29,1,30,2,29,1,6,1,29,1,30,2,28,1,29,1,6,1,30,1,8,1,6,1,7,1,8,2,30,1,13,1,6,1,7,1,13,1,7,3,6,1,28,1,30,1,13,1,6,1,13,3,8,1,13,1,9,1,11,1,8,1,12,1,10,2,24,1,13,1,28,17,30,1,28,1,27,1,29,3,6,1,30,1,26,1,6,1,27,1,29,2,25,1,6,1,29,1,6,2,29,2,7,1,8,1,24,1,8,1,10,2,12,1,9,2,10,1,11,1,10,1,11,1,17,1,12,1,17,9,12,1,10,1,8,1,7,1,24,1,8,1,25,1,28,1,30,2,29,1,10,1,6,1,30,1,28,10,6,1,25,1,8,2,9,1,12,1,24,1,9,2,17,2,12,1,17,1,11,1,12,1,9,1,12,1,11,2,8,1,12,2,8,2,12,2,17,1,12,1,9,1,17,1,11,1,17,1,24,1,17,1,10,1,12,1,17,1,12,1,9,1,8,1,17,7,11,1,17,1,10,1,17,2,12,1,17,1,10,1,12,1,8,1,12,1,11,1,10,1,17,1,10,1,12,1,9,1,17,1,12,1,9,1,12,1,24,1,8,1,13,1,6,1,8,1,13,1,24,1,8,1,13,1,6,2,7,2,8,1,24,1,13,1,28,4,30,1,13,1,24,1,8,1,9,1,24,2,9,3,10,1,9,1,17,5,12,1,17,1,10,1,17,2,11,1,17,2,10,1,11,1,17,1,9,5,10,1,11,1,16,1,9,1,11,1,9,2,8,1,11,1,9,1,8,1,9,4,8,1,9,2,8,1,13,1,8,1,9,1,8,1,13,1,8,1,13,1,9,1,10,2,13,1,29,1,8,1,13,1,28,1,13,1,6,1,13,1,8,1,6,1,7,1,13,2,30,1,29,1,25,1,27,1,29,1,25,1,27,1,25,1,27,1,25,1,29,1,26,1,27,1,25,1,27,2,25,2,27,1,25,1,29,1,25,1,27,2,26,1,28,1,30,1,27,1,29,2,24,1,25,1,24,1,25,1,24,1,13,1,7,1,8,1,13,1,7,1,6,1,8,1,24,1,8,1,9,1,8,3,9,1,24,1,9,1,8,1,10,2,9,1,10,1,9,1,10,1,9,1,10,1,11,1,17,1,10,1,17,1,11,2,10,1,16,2,11,1,16,5,11,1,16,1,17,1,16,1,11,1,16,5,17,1,16,3,17,1,16,1,17,6,16,1,17,10,11,1,17,2,16,1,17,2,16,1,17,2,16,1,17,3,11,1,17,10,12,1,17,3,12,1,17,45,12,2,17,1,12,1,10,1,17,1,10,1,11,1,8,1,24,1,10,1,8,1,9,2,8,1,13,1,24,1,8,1,13,1,8,1,24,1,8,1,9,1,8,1,10,1,12,4,11,1,12,1,17,2,12,1,17,64,12,1,17,18,10,1,17,1,11,1,12,1,11,1,10,2,9,1,24,1,10,1,24,1,13,1,11,1,9,1,13,1,8,2,7,1,13,1,7,1,6,1,13,2,28,1,30,1,6,1,30,1,13,2,10,1,11,1,10,1,11,1,10,1,12,2,10,2,9,2,24,1,11,1,9,1,11,1,9,2,5,14,28,2,30,1,28,8,17,6,9,2,13,2,6,1,8,1,9,2,10,1,11,1,9,1,12,1,17,1,13,1,28,5,29,1,14,1,9,1,6,1,28,22,}, {29,1,6,1,28,3,30,1,28,16,29,3,30,1,10,1,12,1,9,1,8,1,17,3,13,1,7,1,6,1,30,1,6,2,30,1,8,1,17,2,9,1,12,1,10,1,12,1,10,1,9,1,24,1,8,1,24,1,6,1,24,1,12,1,9,1,13,1,6,2,13,1,30,1,6,1,13,1,9,3,28,1,13,1,30,1,13,1,7,1,6,1,13,1,15,1,17,1,24,1,8,2,24,1,12,1,16,1,17,1,13,1,30,1,6,5,30,1,6,1,28,1,30,1,28,8,29,1,28,1,30,1,28,1,30,1,28,1,30,1,7,1,8,2,13,1,12,1,9,1,14,2,24,1,13,1,8,1,6,1,13,1,6,1,30,1,9,1,12,2,11,1,9,1,11,1,10,1,9,2,24,2,9,2,11,1,10,1,9,1,11,1,17,1,14,1,15,1,6,1,28,7,30,1,28,2,30,1,28,3,9,1,5,1111,28,5,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,3,30,1,28,3,17,1,8,1,7,1,9,1,8,1,12,1,10,2,12,1,9,1,8,1,24,1,9,1,13,1,9,1,12,1,24,1,9,1,17,1,12,1,9,1,24,1,13,1,8,3,10,1,12,1,17,2,12,1,24,3,9,1,8,1,30,1,28,13,30,2,27,1,6,2,7,1,8,1,6,2,29,1,28,2,24,2,25,1,24,1,25,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,25,1,27,1,25,2,24,4,9,1,12,1,17,2,12,1,17,4,16,1,17,7,28,5,7,1,12,1,17,8,9,1,13,2,30,1,13,1,16,2,17,16,11,2,9,2,13,2,6,1,13,1,6,1,13,1,30,1,6,1,28,6,30,1,28,33,7,1,13,2,6,1,28,2,13,1,28,1,6,3,13,1,6,1,30,1,6,1,28,1,29,1,28,1,6,1,30,2,6,1,30,1,6,1,30,2,28,1,13,2,9,1,7,1,6,1,13,4,6,1,13,1,8,2,17,1,10,1,9,3,11,1,16,1,11,1,16,1,8,1,13,1,9,2,13,1,16,1,17,1,9,2,13,1,9,1,11,2,13,1,9,2,10,1,11,1,16,2,11,1,9,1,8,1,10,1,9,3,10,2,11,1,9,1,11,1,13,1,30,1,6,1,28,91,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,2,6,1,30,1,28,1,30,3,6,1,30,2,6,1,30,1,29,1,7,1,30,1,28,1,30,2,6,2,7,1,6,1,30,1,29,1,6,2,28,1,6,1,30,1,29,1,7,1,6,3,24,1,13,1,30,1,8,1,30,1,7,1,30,1,7,1,6,1,29,1,13,1,7,1,29,1,13,2,8,1,6,1,13,1,8,1,12,1,11,1,9,1,10,1,12,1,9,1,13,1,28,21,29,2,27,1,28,1,26,1,29,1,25,1,27,1,29,1,6,2,29,1,30,1,6,1,28,1,30,2,29,1,7,1,6,1,24,2,12,2,17,1,9,1,11,1,10,1,12,2,17,2,12,1,11,1,17,8,11,1,24,1,13,1,8,1,6,1,25,1,26,1,6,1,28,2,6,1,25,1,13,1,7,1,28,4,30,1,28,3,30,1,28,1,6,1,25,1,24,3,10,1,24,1,9,1,10,1,11,1,12,1,17,2,12,1,10,1,8,1,17,1,11,1,9,1,11,4,9,1,12,1,11,1,17,2,10,1,13,1,10,1,12,1,8,1,11,2,12,1,9,1,13,1,11,1,10,1,17,7,10,1,17,1,10,1,17,1,11,1,17,1,10,1,11,1,10,1,9,1,11,1,9,1,17,1,12,2,17,2,10,1,12,1,10,1,17,1,24,2,7,2,13,1,8,1,13,1,8,1,6,1,7,1,6,1,13,1,8,3,28,4,29,1,7,1,8,1,9,1,10,1,9,3,12,1,11,1,9,1,12,1,17,10,12,1,17,2,11,1,17,2,12,1,17,1,8,1,9,3,11,2,9,2,10,1,11,1,10,1,9,6,24,1,9,3,13,1,9,1,8,1,9,1,10,1,9,1,8,2,13,2,9,1,8,1,13,1,7,1,13,1,6,1,28,1,6,2,13,2,8,1,13,1,8,1,13,1,26,1,30,1,25,1,27,1,28,1,25,1,29,1,27,2,25,1,26,1,27,2,25,3,26,1,27,1,25,1,28,1,30,1,25,1,27,1,25,2,26,1,25,2,27,2,25,5,7,2,13,1,8,3,24,1,8,1,13,1,24,4,9,1,24,1,9,2,24,1,11,1,9,3,11,1,9,1,11,1,16,1,11,2,16,2,11,4,10,1,17,1,11,2,16,5,11,1,16,12,17,8,16,1,17,6,11,1,17,1,11,1,17,1,11,1,17,3,11,1,17,1,16,1,17,16,12,1,17,31,12,1,17,1,12,3,9,1,11,1,12,1,17,4,12,1,17,1,11,1,12,1,17,2,12,1,17,1,12,1,11,1,17,1,12,1,9,2,10,1,8,1,10,1,6,1,13,1,9,1,6,1,24,1,6,1,13,1,11,1,9,1,12,2,11,1,12,1,17,2,11,1,17,3,12,1,17,6,12,1,17,49,12,1,17,30,12,1,17,1,12,1,17,3,11,1,12,3,10,2,8,1,9,1,13,1,9,1,13,1,9,2,13,1,9,1,7,1,6,3,29,1,13,2,10,2,24,1,12,2,9,1,12,1,9,1,11,1,9,1,10,1,17,1,9,1,10,1,9,2,13,1,5,13,28,10,6,1,17,4,16,1,11,2,9,1,24,1,6,2,13,1,24,1,8,2,11,2,17,2,13,1,28,5,6,1,17,1,24,1,30,2,28,21,}, {28,2,30,1,28,2,6,1,28,14,30,3,6,1,30,1,13,1,24,1,9,1,12,1,11,1,17,3,9,1,13,2,7,2,29,1,6,1,8,1,17,1,11,1,9,3,17,1,10,2,14,1,7,1,29,1,6,1,8,1,15,1,9,1,7,1,6,1,13,2,7,1,6,1,8,1,12,1,9,2,29,1,13,1,28,1,7,1,13,2,8,1,12,1,17,1,9,1,24,1,13,1,9,1,8,1,17,1,11,1,6,1,13,1,7,1,29,1,30,6,28,1,30,1,28,12,30,1,28,1,8,1,6,1,9,1,8,2,12,1,17,2,10,1,24,1,30,1,7,1,6,1,29,1,28,1,12,1,17,3,10,1,17,1,12,1,11,1,9,1,8,2,9,2,8,1,9,1,10,1,11,1,17,2,12,1,6,2,28,3,30,1,28,4,30,2,28,3,13,1,11,1,5,1109,30,1,28,2,7,1,28,1,30,1,28,2,30,1,28,10,29,1,17,1,6,1,13,1,8,2,9,1,10,1,9,1,17,1,11,1,8,1,9,1,12,1,24,1,9,1,11,1,17,1,11,1,10,1,12,1,11,2,17,8,8,1,9,1,8,1,10,1,17,1,13,1,28,8,30,1,28,1,30,1,28,3,26,1,28,1,27,1,7,1,29,1,7,1,6,2,30,2,28,2,7,1,6,1,8,1,7,1,27,1,28,1,29,1,28,3,30,1,28,1,30,1,28,1,29,1,27,1,29,2,27,1,25,1,8,2,25,1,24,4,12,1,9,1,10,1,9,1,12,1,17,2,10,1,12,1,16,1,11,1,17,2,11,2,17,1,28,4,6,1,8,1,17,8,9,1,10,1,13,1,6,1,13,1,16,1,17,1,11,1,17,8,16,1,17,1,16,1,17,1,16,1,17,1,16,1,11,1,9,1,13,2,6,1,13,2,28,1,13,1,30,1,28,10,6,1,30,1,28,31,6,1,13,1,30,1,28,1,6,2,30,1,6,2,28,1,30,1,28,1,30,2,28,3,30,2,28,1,30,1,28,1,30,2,28,3,13,1,8,2,13,3,6,1,13,2,9,3,11,1,17,1,9,1,13,1,16,2,10,1,16,1,17,1,11,1,10,1,13,1,8,1,9,1,8,1,13,1,10,1,13,1,9,1,11,2,9,1,13,1,8,1,9,1,10,1,17,2,16,1,17,2,11,1,10,1,9,1,11,1,10,1,9,1,11,1,10,1,9,1,11,1,9,1,13,1,28,1,30,1,28,93,30,1,28,1,30,1,28,4,30,1,6,3,30,2,28,1,30,1,6,1,30,2,7,1,29,1,6,3,13,1,6,2,13,1,28,1,30,1,13,1,7,1,30,1,6,1,30,1,6,1,13,1,7,1,13,1,7,1,6,1,7,1,6,2,13,3,6,1,13,2,7,1,6,2,13,1,6,3,29,1,13,3,29,1,9,1,13,1,9,1,8,2,9,2,10,1,12,1,6,1,7,1,30,1,28,21,30,1,28,2,29,1,6,1,30,1,26,1,30,1,6,2,29,2,6,1,27,1,28,2,27,1,29,1,6,1,7,1,24,1,10,1,12,2,10,1,17,1,11,1,17,3,12,1,17,9,12,1,17,2,9,2,13,1,6,1,26,1,29,3,28,2,29,1,13,1,29,1,13,1,6,2,25,1,6,1,25,1,6,1,28,1,6,1,30,1,13,2,24,1,10,1,8,1,9,1,11,1,12,1,10,1,12,1,17,1,12,1,11,1,12,2,11,1,9,1,13,1,10,1,17,1,12,1,11,1,12,2,17,2,12,2,17,1,8,1,24,1,9,3,12,1,11,1,8,1,11,1,9,1,17,9,9,1,12,1,17,1,10,1,17,1,12,1,17,1,9,1,12,1,11,1,10,1,17,1,12,1,17,1,12,2,10,1,17,3,12,1,7,1,13,1,8,1,24,1,13,1,8,1,7,2,30,1,6,1,13,2,8,1,28,4,30,1,6,1,7,1,9,3,11,1,12,1,11,1,9,1,17,8,12,1,17,1,12,1,17,3,10,1,17,2,12,1,11,1,17,1,11,1,17,3,11,2,9,2,12,1,9,1,11,1,8,1,9,3,8,2,24,1,8,2,13,1,9,2,8,1,24,1,9,3,24,1,9,1,13,2,9,1,13,3,7,1,6,1,13,1,6,1,29,1,6,2,8,1,6,1,30,1,10,1,29,1,27,1,30,1,27,1,30,1,29,1,26,1,27,1,29,1,27,1,29,1,27,1,25,2,27,2,25,1,27,1,26,1,27,1,25,3,26,1,25,1,30,1,25,1,26,1,27,1,25,1,8,1,25,1,7,1,25,1,7,1,24,1,10,1,8,1,13,1,8,1,13,1,6,1,8,1,13,1,10,1,7,1,9,1,13,2,9,2,24,2,9,2,10,1,12,1,10,1,12,1,10,1,11,1,16,1,11,2,16,1,10,1,9,1,11,3,10,1,11,1,16,1,11,1,16,2,11,3,16,1,11,1,16,3,11,2,16,4,17,1,16,1,17,16,16,6,17,1,16,1,17,6,16,1,17,15,11,1,17,26,11,1,10,2,12,2,17,3,10,1,12,1,17,2,12,1,17,1,10,1,17,1,12,1,17,1,12,1,10,1,17,1,12,3,10,1,12,1,7,1,13,1,8,1,13,1,24,1,13,1,9,1,10,1,12,1,10,2,17,64,12,1,17,33,12,1,17,4,12,1,17,1,12,1,17,2,12,3,9,1,17,2,9,1,17,2,9,1,10,1,9,1,13,3,6,1,7,1,30,1,6,2,9,1,17,1,10,2,12,1,10,2,17,1,11,1,12,1,11,1,9,1,11,1,10,1,9,2,10,1,5,12,30,1,28,9,13,1,17,3,11,1,17,1,11,1,9,1,8,2,13,1,6,1,13,2,24,2,10,1,11,1,17,2,6,1,28,5,6,1,17,1,9,1,30,1,28,22,}, {30,1,28,10,29,1,28,9,29,1,28,1,6,1,7,1,29,1,24,1,12,1,10,1,12,1,9,1,17,1,14,1,9,1,8,1,7,1,6,1,29,1,6,1,30,1,13,1,17,1,11,3,17,3,12,1,9,2,7,1,13,1,30,1,14,1,15,1,8,2,6,2,13,1,6,1,9,2,24,1,13,2,6,2,8,1,6,1,7,1,8,1,10,1,17,1,11,1,9,1,13,1,9,2,17,2,9,1,13,1,6,1,29,2,30,1,6,1,29,1,28,1,30,2,28,7,30,1,28,3,30,3,28,1,24,1,8,4,17,2,15,1,9,1,13,1,29,1,13,2,6,1,30,1,12,2,17,3,12,1,9,1,11,1,24,1,16,1,9,2,8,2,9,2,17,1,12,1,17,1,15,1,8,1,28,2,30,1,28,11,13,1,9,1,5,1109,28,2,6,2,30,1,28,1,30,1,28,1,29,1,6,1,28,9,6,1,12,1,17,1,13,2,8,2,24,1,13,1,10,2,9,1,8,2,12,3,10,1,8,1,12,1,17,2,24,1,17,7,12,1,10,1,12,1,9,1,17,1,12,1,17,1,6,1,28,3,30,1,28,3,30,1,28,4,29,1,28,1,29,1,30,1,27,1,6,1,28,1,29,1,7,1,29,2,6,1,13,1,8,1,13,1,25,2,8,1,25,1,28,2,29,1,30,2,28,1,30,1,27,1,30,1,27,2,26,1,25,1,27,1,24,1,25,1,8,1,24,3,17,1,10,1,24,1,10,1,12,1,11,1,10,1,9,1,11,1,12,1,11,2,17,5,9,1,28,3,30,1,9,1,17,8,9,2,13,2,16,3,17,7,9,1,11,1,17,1,11,1,17,5,16,1,9,2,13,1,30,1,6,1,30,1,13,1,30,1,28,14,30,1,28,1,30,1,28,27,13,2,28,6,30,3,28,3,7,1,6,1,28,1,30,2,28,1,6,1,28,2,6,1,28,2,29,1,13,1,11,1,8,1,9,3,13,1,9,3,13,1,16,1,11,2,9,2,11,2,17,1,16,2,17,1,9,2,8,1,13,3,9,1,13,1,11,1,9,2,13,1,8,1,10,1,9,1,11,2,17,2,16,1,11,2,10,2,9,3,8,1,13,1,9,1,13,1,10,1,9,1,28,28,30,1,28,6,30,1,28,57,30,1,28,1,6,1,28,4,30,1,7,1,30,1,7,1,13,1,30,1,28,2,29,1,6,2,7,1,28,1,30,1,6,1,30,2,29,1,28,1,6,3,7,2,30,1,8,1,30,1,8,1,13,1,28,1,13,1,9,1,28,1,6,1,28,2,7,2,30,1,6,1,8,1,29,1,13,2,29,1,13,1,6,1,29,1,13,1,30,1,6,1,13,1,30,1,13,1,7,1,13,1,8,1,9,1,13,1,9,1,12,1,9,1,11,1,10,1,8,1,28,26,30,1,6,1,28,1,30,1,26,1,25,2,7,1,29,1,6,1,29,1,30,1,6,1,29,1,30,1,28,1,8,1,6,1,8,1,10,1,17,1,24,1,10,1,17,3,12,1,17,13,10,1,24,2,8,1,29,3,30,2,28,1,30,2,13,1,8,1,6,1,7,1,6,1,24,3,6,1,7,1,30,1,8,3,10,1,24,1,9,2,17,1,12,1,9,1,12,1,8,1,17,1,11,1,17,2,9,1,17,1,9,3,12,1,17,2,12,1,17,3,10,1,12,1,11,1,9,1,17,1,10,1,24,2,10,1,11,2,17,8,12,2,17,3,12,1,17,1,24,1,17,1,9,1,24,1,12,1,11,1,17,1,12,2,10,1,11,2,10,1,17,3,13,2,7,1,8,1,13,1,8,1,6,1,29,1,7,1,13,1,8,1,24,1,30,1,28,2,30,1,28,1,6,1,13,1,9,3,12,1,11,2,13,1,12,1,24,1,8,1,24,1,7,1,13,1,7,1,6,1,28,1,6,2,13,1,8,1,7,1,24,1,12,1,10,1,12,1,17,1,12,1,17,7,11,2,10,2,9,2,13,1,9,1,8,1,10,1,8,5,13,1,8,3,10,2,24,1,8,1,13,1,8,2,10,1,6,1,8,1,7,1,13,2,7,1,28,1,29,1,13,1,6,1,13,1,8,1,7,1,24,1,29,1,27,1,25,1,28,1,25,3,27,1,25,2,8,1,25,1,27,2,29,1,27,2,25,2,27,2,29,1,27,1,8,1,29,1,26,1,27,1,25,4,27,1,25,1,6,1,13,1,29,1,6,1,13,1,7,1,13,1,7,2,24,1,29,1,24,1,8,2,9,2,24,1,12,1,13,1,9,1,24,1,9,1,11,1,9,2,11,2,9,2,12,1,10,1,11,1,16,3,11,1,17,1,11,1,16,1,11,1,17,1,16,1,11,1,16,2,11,1,17,1,16,4,17,1,11,1,16,3,11,1,17,2,16,1,17,16,11,1,16,1,17,1,11,1,17,5,16,1,17,4,11,1,17,17,11,1,17,24,12,1,17,1,24,1,8,1,13,1,9,1,24,1,12,2,9,1,17,1,11,1,12,1,17,1,12,1,17,1,9,1,11,1,10,1,24,1,10,1,12,1,11,1,8,1,6,1,9,1,24,1,8,1,13,1,12,1,9,1,17,1,11,1,17,1,12,1,17,82,12,1,17,13,12,1,17,15,11,1,17,2,12,1,11,1,12,1,17,1,11,1,9,1,11,1,8,2,13,3,29,1,6,2,13,1,8,1,12,1,10,1,12,1,10,1,17,1,11,2,17,1,10,1,12,1,10,1,9,2,11,1,9,2,5,9,6,1,28,1,30,1,28,8,13,1,14,1,17,3,11,1,10,1,11,1,8,2,13,2,6,1,8,2,10,2,11,1,12,1,11,1,6,1,28,5,7,1,17,1,13,1,30,1,28,4,30,1,28,17,}, {28,1,30,2,28,3,30,1,28,4,29,1,28,9,30,4,6,1,8,1,13,1,24,1,9,1,12,1,14,1,17,1,9,2,7,1,13,1,6,1,29,2,13,1,17,2,11,1,9,1,17,2,11,1,17,1,9,1,24,1,29,1,30,1,13,1,14,1,10,1,6,1,30,1,13,1,6,2,13,1,8,1,9,1,13,1,9,1,13,1,28,1,13,1,8,1,6,1,8,2,11,1,17,1,24,1,8,2,9,1,10,1,17,2,9,1,6,2,30,1,6,1,30,1,28,1,6,1,28,12,30,1,28,1,30,1,28,1,30,1,28,1,6,1,10,1,8,1,24,1,8,1,24,1,17,1,14,1,10,1,13,1,6,5,15,1,17,3,16,1,9,2,12,1,24,2,8,1,9,3,8,1,24,1,11,1,17,2,12,1,29,1,28,14,9,2,5,1108,28,3,6,1,30,1,28,2,30,4,29,1,28,2,30,1,28,4,6,2,10,1,17,1,8,1,13,3,9,1,8,1,12,1,9,1,17,1,9,1,10,2,11,1,10,2,17,2,11,1,17,1,9,1,17,2,12,1,17,4,12,1,24,1,16,1,9,3,12,1,13,1,28,8,30,4,28,1,30,1,29,3,27,1,29,1,6,2,28,1,13,1,7,1,6,1,13,1,7,1,8,1,24,1,8,1,25,2,27,1,30,2,28,3,30,1,29,1,30,1,26,1,27,2,30,1,26,1,25,1,8,1,24,3,8,1,24,2,12,2,9,1,12,1,9,1,10,1,16,1,17,1,11,1,17,1,16,2,17,1,12,1,16,1,13,1,28,1,30,1,8,1,10,1,17,7,10,1,13,1,11,1,9,1,17,3,16,1,17,5,16,1,11,1,13,1,9,1,10,1,17,2,16,1,17,2,11,1,16,1,6,1,9,1,13,2,6,3,13,1,28,43,6,2,28,9,30,2,28,1,30,1,28,3,30,2,28,1,30,1,28,1,13,2,28,1,30,1,9,1,11,3,16,1,9,6,17,1,16,1,17,1,16,1,9,1,11,1,16,1,17,1,11,2,12,1,11,1,10,1,13,2,9,1,13,2,9,1,13,1,11,1,9,1,8,1,9,2,8,1,11,1,17,1,12,1,17,2,11,1,12,2,11,1,10,2,9,1,8,1,9,1,13,2,8,1,13,1,9,1,28,93,29,1,28,1,29,1,28,3,30,1,6,3,13,1,30,1,6,1,28,1,6,1,28,1,6,2,7,1,30,2,6,1,13,1,30,1,7,1,6,1,28,1,6,1,30,1,7,1,6,2,13,1,6,1,13,1,7,1,6,1,13,2,7,1,6,1,13,1,30,1,13,2,6,1,7,1,6,1,13,1,7,2,28,1,29,1,6,2,13,1,30,2,13,3,8,1,13,1,8,1,10,1,11,1,12,1,17,2,12,1,6,1,28,1,30,1,28,27,27,3,29,1,25,1,7,1,30,1,6,1,28,1,30,2,6,1,29,2,6,1,24,1,13,1,12,3,17,2,12,1,17,1,12,2,17,12,12,1,24,1,7,1,13,1,7,1,30,1,6,1,30,1,28,4,29,1,7,1,24,1,8,1,7,1,10,1,24,1,12,1,24,3,9,1,8,1,9,4,10,1,9,1,12,2,17,1,11,1,12,1,17,1,12,3,17,1,11,1,17,3,10,1,17,1,10,1,17,1,9,1,12,1,17,1,9,2,10,1,24,1,12,1,17,2,12,1,9,2,17,8,11,1,17,1,11,1,10,1,12,4,11,1,17,1,9,1,10,1,11,1,9,1,17,1,24,1,10,2,17,1,12,1,17,1,11,1,17,1,8,1,6,1,9,1,13,1,24,1,13,1,30,1,29,1,13,1,24,1,13,1,8,1,28,3,30,1,29,1,13,1,24,1,8,1,24,1,10,1,17,2,8,1,13,1,28,1,29,1,6,1,13,1,30,1,29,1,28,3,29,1,28,2,30,1,28,1,29,1,6,2,8,1,12,2,17,8,16,1,10,1,9,3,8,2,13,1,24,1,9,1,8,1,17,1,8,1,13,1,10,1,9,2,13,2,8,2,12,1,24,1,8,1,13,1,8,1,7,1,13,2,7,1,6,4,8,1,6,3,8,1,13,1,8,1,30,2,6,2,25,1,27,1,29,1,6,1,25,1,26,1,30,2,29,1,25,1,29,1,27,1,25,1,28,1,8,1,29,1,25,1,27,1,25,1,27,1,25,4,6,1,25,1,24,1,13,1,6,1,13,1,7,1,6,1,8,4,13,1,7,1,8,1,13,1,7,1,8,2,24,1,8,1,24,1,10,1,9,2,24,1,9,1,12,1,9,1,12,1,16,1,11,1,10,1,16,1,12,1,9,1,10,1,11,5,16,3,10,1,16,1,17,2,16,1,11,1,17,1,10,1,11,1,16,1,17,1,16,1,17,1,16,1,17,19,16,1,17,2,16,1,17,3,16,1,17,18,11,1,17,32,12,1,17,1,12,1,17,5,24,1,12,1,17,1,11,1,17,1,11,2,17,1,11,1,17,1,12,1,8,1,17,1,12,1,11,1,13,1,24,1,13,1,12,1,17,1,10,1,17,38,12,1,17,47,11,1,17,20,12,1,17,3,12,1,17,7,12,1,17,4,9,1,11,1,17,1,11,1,17,1,12,2,8,1,9,1,8,1,6,1,7,1,6,1,13,2,10,1,12,2,17,1,11,1,12,1,10,1,9,1,11,2,9,1,11,1,9,1,8,1,9,2,5,8,13,1,28,10,7,1,17,3,16,1,17,1,24,1,9,2,13,1,8,1,7,1,6,1,8,1,24,1,9,1,11,1,12,1,17,1,12,1,6,1,28,5,29,1,17,1,8,1,28,1,30,2,28,1,30,1,28,18,}, {28,7,30,1,28,2,30,1,28,2,30,2,28,5,30,2,7,1,29,1,6,1,7,1,6,1,13,1,8,2,12,1,17,2,11,1,8,1,13,1,30,1,6,2,30,1,9,1,17,2,8,1,10,1,9,1,17,1,9,4,13,1,6,1,13,1,17,1,7,1,13,1,6,1,13,1,24,1,6,1,13,2,12,1,9,2,7,2,8,1,7,1,13,1,7,1,10,1,9,1,17,1,12,1,10,1,8,1,11,1,17,3,9,1,6,1,28,1,29,1,30,1,6,1,30,1,6,1,28,11,30,1,28,2,30,1,28,1,30,1,6,2,13,2,6,1,8,2,15,1,17,1,9,1,13,1,30,1,6,1,13,1,30,1,7,1,12,1,17,4,9,1,12,1,9,2,8,1,9,1,13,2,9,1,13,1,9,1,24,1,9,1,14,1,12,1,6,1,30,1,28,9,30,1,28,3,13,1,9,1,5,1107,13,1,28,3,30,1,28,3,30,1,28,4,29,1,30,1,28,5,30,1,13,2,11,1,17,1,9,1,13,1,8,1,9,1,7,2,9,1,17,1,10,1,11,1,9,1,11,1,12,4,10,2,9,1,17,2,10,1,17,3,12,1,17,1,12,1,9,1,16,1,9,2,17,1,6,1,28,13,30,1,28,1,29,1,28,1,6,1,30,1,7,1,13,1,30,1,13,1,6,1,8,1,24,1,7,2,25,2,8,1,25,1,6,1,30,1,28,1,30,1,28,1,29,1,30,1,29,4,30,1,24,2,8,1,25,2,8,1,24,2,10,1,24,1,10,1,8,1,24,1,12,1,11,1,10,1,9,1,12,1,9,1,17,1,16,2,17,1,16,1,17,3,8,1,13,1,12,1,17,7,11,1,13,1,16,1,17,1,10,1,11,2,17,5,16,1,11,1,13,1,9,1,13,1,9,1,11,1,17,1,11,1,17,2,9,1,16,1,13,3,30,1,6,1,30,1,6,1,28,16,30,1,28,26,30,1,13,1,8,1,28,9,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,9,1,6,2,28,1,13,1,17,2,16,1,17,5,16,1,11,1,17,1,11,1,16,1,10,1,9,1,17,1,11,1,17,1,11,2,12,1,9,1,12,1,10,1,8,2,9,1,13,1,9,1,13,2,12,1,9,2,11,1,17,2,12,1,17,2,12,2,17,1,11,1,13,1,8,1,24,1,9,2,8,3,13,2,9,1,28,86,30,1,28,4,29,1,13,1,30,2,13,1,30,1,29,1,13,1,7,1,28,2,6,1,30,1,28,2,30,2,28,1,30,1,28,1,13,1,7,1,30,1,7,1,29,1,30,1,13,2,30,1,13,1,30,1,6,1,13,1,7,1,6,1,13,1,28,1,13,2,29,1,13,1,7,1,13,1,6,1,13,1,7,1,28,1,6,1,7,1,13,1,7,3,6,1,13,1,30,1,13,2,6,1,13,4,8,1,9,1,11,2,9,1,17,1,11,1,9,1,13,1,28,1,30,1,28,29,29,1,27,1,25,2,6,1,28,1,13,1,8,1,29,3,6,1,8,1,6,1,9,1,8,1,17,1,10,1,17,1,12,2,17,2,11,1,17,14,10,1,6,1,8,1,6,1,29,1,30,1,28,2,30,1,28,3,29,1,8,1,10,1,24,1,9,1,10,2,9,1,10,1,24,1,9,1,11,1,12,2,10,1,17,1,10,1,17,2,9,1,12,1,17,2,12,1,11,1,12,2,17,3,12,2,17,2,12,1,17,1,10,1,12,1,17,1,12,1,17,1,12,3,10,1,12,1,24,1,9,1,17,7,12,2,17,2,9,1,11,1,17,1,10,1,11,1,12,1,17,1,12,1,17,1,12,1,10,1,11,1,17,1,10,1,11,1,17,3,12,2,17,1,12,1,7,1,13,2,9,1,13,3,7,1,13,1,8,2,28,4,6,1,13,1,9,2,10,1,9,1,24,1,6,1,30,1,6,1,28,1,7,1,6,3,28,2,29,1,28,3,29,1,30,1,28,4,30,1,7,1,13,1,8,1,12,1,17,1,12,1,17,5,10,1,8,1,9,1,13,2,6,1,8,1,13,3,9,1,8,1,24,1,8,1,9,1,13,1,24,1,8,1,24,1,9,1,13,2,24,1,13,1,8,2,13,1,7,1,13,1,6,2,29,1,7,1,30,1,29,1,30,1,8,1,7,2,6,1,7,1,8,1,7,1,6,3,25,1,6,1,25,1,6,1,25,1,8,1,25,1,26,1,27,1,25,1,26,1,27,2,25,2,26,2,25,1,26,1,25,1,30,1,27,1,29,1,25,2,6,2,7,1,6,1,8,1,7,1,6,1,13,2,6,1,8,1,13,2,8,1,13,1,24,1,9,1,8,1,9,1,8,2,24,2,9,1,11,1,10,1,11,1,10,1,9,2,12,1,10,1,11,1,9,3,11,1,10,1,11,2,16,1,11,2,16,2,9,1,16,2,17,1,16,1,11,2,17,1,16,2,17,18,16,1,17,14,16,1,17,16,12,1,17,4,12,1,17,2,12,1,17,30,12,1,17,1,12,1,17,3,12,1,17,3,12,1,17,86,12,1,17,24,11,1,12,1,17,18,10,1,12,1,17,2,11,1,12,3,11,1,9,3,29,1,13,1,6,2,8,1,11,1,10,1,11,1,9,1,12,2,10,1,9,2,10,1,12,1,10,1,9,1,8,1,9,1,13,1,5,7,13,1,28,10,13,1,17,2,12,1,16,1,12,2,24,1,8,1,7,1,13,1,7,1,6,1,7,1,8,1,10,1,9,4,6,1,28,5,13,1,11,1,7,1,30,1,28,1,29,1,28,1,30,1,28,18,}, {28,2,6,1,29,1,28,3,30,1,28,2,30,1,28,1,6,1,28,2,30,1,6,1,28,1,29,1,28,3,29,1,30,1,6,2,13,2,7,1,13,1,24,1,10,1,14,1,24,1,9,1,8,1,13,1,30,1,7,1,28,1,8,1,17,2,9,1,11,1,9,1,17,1,11,1,24,1,9,2,6,1,30,1,8,1,12,1,10,1,7,1,6,2,13,1,7,2,13,1,9,2,8,1,24,1,8,2,13,2,8,1,6,1,9,1,17,2,9,2,10,1,17,3,9,1,6,1,28,3,30,1,28,3,30,1,28,1,30,2,28,11,30,1,29,1,6,2,7,1,13,1,6,1,24,1,8,1,10,1,24,1,13,1,6,3,29,1,6,1,15,1,17,3,12,1,9,3,10,1,8,2,24,1,8,1,7,1,8,2,9,1,11,1,10,1,17,1,30,2,28,13,6,1,9,1,5,1107,28,4,6,1,28,5,29,1,28,4,30,1,28,1,30,2,28,1,6,1,13,1,8,1,13,1,24,1,17,2,10,1,6,3,13,1,9,1,12,1,17,1,11,1,17,3,12,1,17,2,8,1,12,1,17,6,12,1,17,1,12,1,9,1,12,1,9,1,10,1,17,1,28,9,30,4,28,1,30,4,29,1,7,2,30,1,28,4,6,1,8,1,24,1,8,1,24,2,25,1,7,1,28,3,30,1,28,4,29,1,27,1,29,2,25,1,27,1,25,1,8,1,24,6,8,1,17,1,10,1,12,1,9,1,12,1,17,1,10,1,16,1,11,2,17,2,11,1,17,11,16,1,9,2,11,1,17,1,16,1,11,1,17,7,13,1,28,1,9,2,12,2,17,4,13,1,16,1,13,1,6,1,13,2,30,2,28,16,30,1,28,16,6,1,30,1,7,1,28,8,29,1,13,1,30,1,28,13,13,1,28,3,6,1,30,1,13,1,29,1,9,1,6,2,30,1,11,1,9,1,17,1,16,1,11,1,17,3,16,1,17,1,11,3,9,2,11,1,17,1,16,1,11,1,17,2,10,2,9,1,11,3,9,1,11,1,9,1,17,1,9,1,11,2,12,1,11,1,17,3,12,2,10,1,12,1,11,2,8,1,9,1,13,1,8,1,24,1,9,1,8,1,9,1,7,1,30,1,24,1,28,63,30,1,28,25,30,1,28,2,13,1,6,3,30,1,29,1,30,3,28,1,30,1,29,1,28,1,30,2,28,1,30,1,6,1,13,1,6,1,30,1,6,1,29,1,7,1,13,1,29,1,7,5,13,2,6,1,13,1,28,1,12,1,8,1,6,1,13,2,6,2,28,1,6,1,13,1,7,1,6,2,13,1,29,1,6,1,29,1,13,2,6,1,8,1,6,1,30,2,7,1,8,2,9,1,11,1,12,2,11,1,9,1,13,1,30,1,28,30,30,1,26,1,27,1,6,1,29,2,6,1,30,1,7,1,29,1,13,2,8,1,13,2,24,1,10,1,12,1,11,1,12,1,17,16,12,1,17,1,10,2,13,2,29,1,6,1,29,1,6,1,28,5,30,1,7,1,24,1,12,4,10,1,12,2,10,1,11,1,12,1,8,1,9,1,12,1,11,1,10,1,17,2,12,1,17,5,10,1,17,3,12,1,17,1,12,1,17,1,11,1,10,1,17,1,11,1,17,1,9,1,11,1,12,1,10,4,11,1,9,1,17,8,12,1,11,2,12,1,17,2,12,1,11,1,17,2,12,2,17,3,12,1,11,1,12,1,9,1,11,1,12,1,24,1,17,1,10,1,17,1,13,1,8,1,13,1,8,1,13,1,7,2,8,2,24,1,29,1,28,2,29,1,7,1,6,1,9,1,10,1,8,1,10,1,13,1,30,2,7,3,29,1,26,1,29,1,28,1,29,1,28,2,30,2,28,1,30,4,28,2,29,1,6,1,29,2,13,1,6,1,7,1,6,1,10,1,17,4,11,1,8,1,13,4,7,1,13,2,8,1,9,3,10,1,13,2,24,1,8,3,10,1,24,1,8,1,13,2,6,1,13,1,7,1,6,2,7,1,6,1,29,1,6,1,7,1,24,1,13,1,7,1,6,2,13,1,7,2,8,1,7,1,13,1,29,1,6,1,13,2,6,1,25,1,6,1,27,1,25,1,27,2,8,1,25,1,29,1,27,1,26,3,25,1,8,1,7,1,8,1,6,2,7,1,13,1,7,1,13,1,6,1,13,1,8,1,7,1,13,1,8,1,13,1,8,1,7,1,24,1,13,2,8,1,24,2,13,1,9,1,13,1,10,1,24,1,8,2,12,1,9,1,16,1,9,1,17,1,16,2,11,1,9,1,16,2,10,1,11,2,10,1,11,1,16,1,11,1,17,1,11,2,10,1,16,3,17,1,11,1,16,4,17,1,16,1,17,20,16,1,17,1,12,1,17,1,11,3,17,3,16,1,17,17,11,1,17,1,12,3,17,1,12,1,17,1,12,1,17,2,12,1,17,145,11,1,17,4,12,1,17,22,12,1,11,3,12,2,7,2,30,1,6,1,13,1,9,1,11,1,12,1,17,1,11,1,12,2,17,1,10,1,9,2,10,1,9,1,11,1,13,2,28,1,5,6,13,1,28,10,13,1,17,4,11,1,10,1,9,1,8,1,13,1,6,3,13,2,10,1,9,1,10,1,11,1,12,1,13,1,28,5,8,1,17,1,13,1,30,2,28,21,}, {28,1,30,1,6,2,30,1,28,6,30,1,6,1,28,1,7,1,30,1,6,1,28,1,6,1,30,1,6,1,7,1,6,1,29,1,7,1,6,1,8,1,13,1,24,1,13,1,10,1,17,1,14,1,9,1,8,2,7,1,13,1,30,1,7,1,13,1,17,5,11,1,10,1,15,1,10,1,24,1,7,1,6,1,24,1,10,1,15,1,7,2,6,1,7,1,30,1,6,1,13,1,10,2,9,2,24,1,13,1,9,1,8,1,6,1,13,1,17,1,9,1,12,1,10,1,9,3,17,2,9,1,28,2,30,2,28,1,29,1,28,10,30,1,28,6,29,1,28,1,29,1,28,1,6,1,7,2,8,1,10,1,17,1,9,1,13,1,29,1,7,2,6,1,8,2,17,1,14,2,9,1,10,1,9,3,24,1,7,1,8,1,24,1,8,1,9,1,10,1,8,1,13,1,12,2,7,1,30,1,28,1,30,1,28,1,30,1,28,6,6,1,28,2,6,1,13,1,5,1106,13,1,28,2,6,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,5,13,1,30,1,13,2,8,2,13,2,8,1,30,1,29,1,6,1,13,1,6,1,7,2,9,1,10,1,13,1,9,1,17,1,9,1,12,1,11,1,7,1,13,1,9,1,17,4,9,1,11,1,17,1,16,1,11,1,9,1,12,1,10,1,17,1,29,1,28,5,30,1,28,5,30,1,28,1,30,3,28,1,24,1,7,1,29,1,28,4,29,1,8,2,24,1,9,1,8,1,24,1,8,2,28,1,30,2,28,2,30,1,27,1,30,3,29,1,27,1,26,1,27,1,26,1,8,1,24,3,12,1,24,1,12,1,10,1,17,1,12,1,9,1,10,1,12,1,11,1,12,1,16,2,17,1,11,1,16,1,17,3,16,1,17,1,16,1,17,6,16,1,9,1,10,1,16,1,17,2,11,1,17,6,13,1,6,1,28,1,8,2,10,1,12,1,17,2,16,1,11,2,9,1,13,1,6,1,13,1,30,2,13,1,28,16,6,1,28,15,6,1,13,1,30,2,28,8,6,1,13,1,28,12,30,1,7,1,6,1,28,7,30,1,28,2,13,2,9,1,17,1,16,1,11,1,16,1,11,1,17,2,11,1,17,1,9,1,11,1,9,1,16,1,11,1,12,3,9,2,10,1,11,1,9,1,10,1,17,1,10,1,11,1,9,2,12,1,10,1,9,1,11,4,17,1,10,1,12,3,24,1,9,1,24,1,8,3,13,1,8,2,30,1,7,1,29,1,6,1,7,1,28,77,30,1,28,7,30,1,28,4,30,1,7,1,29,1,30,2,28,1,6,1,30,1,6,1,30,1,28,1,29,2,28,5,6,1,28,1,6,1,29,1,6,2,30,2,6,1,13,1,7,4,13,1,6,1,7,1,13,1,29,1,13,1,6,1,13,1,7,1,13,1,29,1,30,1,13,1,6,1,29,1,6,1,13,1,30,1,6,4,28,1,6,1,13,1,7,1,13,3,9,1,12,1,10,1,9,1,11,1,12,1,11,1,9,1,8,1,6,1,28,32,30,1,6,1,27,2,6,1,7,1,6,1,29,1,7,1,29,1,7,1,13,1,24,2,8,1,10,1,12,2,17,1,10,1,24,1,17,1,12,1,17,9,12,1,17,1,11,1,17,2,12,2,24,1,29,1,7,1,29,1,6,1,30,2,28,7,7,1,8,1,10,1,17,1,12,2,9,1,12,2,8,1,17,1,12,2,17,1,12,1,17,2,11,2,17,6,10,2,17,3,12,2,17,1,11,3,12,1,10,2,12,6,11,1,17,7,10,1,9,1,17,2,9,1,17,1,11,1,12,1,17,1,9,1,17,3,12,2,17,1,10,1,17,1,9,1,17,1,9,1,17,1,11,1,17,1,12,1,17,1,8,2,24,2,13,1,7,1,13,3,24,1,29,1,28,2,6,1,13,1,9,1,8,1,9,1,12,1,24,1,30,2,6,3,24,1,7,1,28,1,25,1,28,1,30,1,28,3,30,1,28,4,29,1,28,3,29,1,28,3,6,1,28,2,29,1,6,1,17,3,12,1,24,1,13,7,8,1,9,1,8,1,9,1,13,1,8,3,13,1,24,1,13,1,6,1,7,1,24,1,6,1,13,1,8,1,6,1,7,1,29,1,7,1,6,1,29,1,6,3,8,2,13,1,6,1,7,1,6,2,7,1,8,1,13,3,24,2,7,1,24,1,25,1,6,1,25,1,26,1,8,1,6,2,29,1,24,1,6,2,25,1,28,1,8,1,6,2,30,1,7,1,24,1,29,2,6,1,30,1,7,1,8,1,13,3,7,2,8,2,13,1,8,1,13,1,8,1,9,1,13,1,24,1,8,1,24,1,13,1,8,2,10,1,9,1,12,1,11,1,10,1,11,1,9,1,16,1,11,1,9,1,16,1,11,3,9,1,16,1,9,1,16,1,11,3,16,1,11,1,9,1,11,1,16,1,11,1,16,2,11,1,16,1,17,1,16,1,17,24,11,1,17,4,11,1,17,6,11,2,17,17,11,2,17,1,12,1,11,1,10,1,17,3,12,1,17,1,11,1,12,2,17,140,12,1,17,3,12,1,17,12,12,1,17,2,12,1,17,3,11,1,17,1,11,1,17,1,11,1,10,2,9,2,8,1,6,1,30,1,13,1,8,1,11,3,12,1,17,1,11,1,8,1,24,1,9,1,8,1,9,1,8,1,9,1,8,1,13,2,5,5,13,1,28,10,13,1,17,2,16,1,12,1,17,1,9,3,13,2,30,1,6,1,8,1,24,1,12,1,10,1,11,1,12,1,17,1,13,1,28,5,9,1,17,1,8,1,6,1,30,1,28,2,30,1,28,18,}, {29,1,30,1,28,7,30,1,28,1,29,1,6,2,29,1,30,1,29,1,30,1,6,1,7,1,6,1,28,1,8,1,28,1,13,1,7,1,13,1,8,1,24,1,8,2,24,1,17,1,24,1,13,1,6,1,8,1,30,3,8,1,17,2,11,1,12,1,16,1,17,1,10,1,9,2,8,1,29,1,13,1,8,1,9,1,15,1,13,1,30,2,7,1,6,1,13,1,8,2,9,1,24,1,8,1,6,1,13,4,8,1,9,1,17,1,9,2,8,1,10,1,9,1,12,1,17,1,9,1,13,1,30,1,28,1,29,1,28,5,29,1,28,12,6,1,28,2,30,1,7,1,29,1,13,1,6,1,8,2,15,1,9,1,13,1,6,2,13,1,6,1,30,1,24,1,17,2,12,1,15,1,12,1,9,1,24,1,9,1,24,1,8,1,9,1,8,1,13,1,7,1,9,2,24,1,10,1,9,1,13,1,28,10,29,1,28,3,6,1,13,1,5,1105,30,1,28,2,30,4,28,3,30,1,28,2,30,1,28,2,30,1,29,1,28,1,7,1,13,1,7,1,13,4,8,1,13,1,7,1,6,1,13,2,6,3,13,1,7,1,8,1,6,1,9,1,8,1,17,1,11,1,7,1,6,1,13,1,8,1,9,1,11,1,17,1,11,1,17,1,11,1,16,1,12,1,11,1,16,1,17,1,16,1,17,1,8,1,28,8,30,3,28,1,6,1,28,1,30,1,28,1,13,1,8,1,30,1,29,1,28,3,29,1,6,1,8,1,13,1,24,1,10,1,24,2,8,1,7,1,6,1,28,3,30,1,28,2,29,1,30,5,29,1,27,2,8,3,12,1,24,3,10,2,12,1,10,1,12,1,11,1,12,1,11,1,17,1,11,1,16,3,9,1,16,1,17,10,16,1,13,1,16,1,17,1,11,1,17,6,11,1,30,1,6,1,28,1,6,1,9,1,17,4,11,2,13,1,9,1,13,2,28,1,30,1,6,1,30,1,28,1,6,1,28,14,30,1,28,14,30,1,6,1,13,1,30,1,13,1,28,8,13,2,28,10,6,3,8,1,13,1,28,1,30,1,6,1,28,5,30,1,6,1,13,1,9,1,11,1,9,1,11,4,17,1,9,2,11,1,13,1,9,1,10,1,16,2,17,1,16,1,11,1,17,1,9,1,10,1,12,1,9,1,11,1,10,1,9,2,12,1,11,1,9,3,11,1,17,1,11,1,17,1,12,1,10,2,9,1,12,1,8,1,24,3,8,1,24,1,13,2,8,1,7,2,29,1,6,2,28,86,29,1,28,1,6,1,28,3,30,1,28,3,29,1,6,2,13,1,6,1,7,2,28,1,6,1,30,1,28,1,30,1,29,1,28,1,6,1,30,1,7,2,13,1,6,1,30,1,13,1,7,1,6,1,13,1,8,1,30,1,7,1,13,2,6,1,13,4,7,1,13,1,6,1,29,1,6,3,8,1,6,1,29,1,7,1,6,2,7,1,29,1,8,1,13,1,29,1,9,1,8,1,13,1,10,2,17,1,12,1,10,1,8,1,7,2,29,1,28,33,30,2,6,1,25,1,29,3,6,1,7,1,13,1,8,1,24,1,8,1,10,1,12,1,17,1,10,1,11,1,17,1,10,1,17,16,12,1,17,1,8,1,6,1,13,1,7,1,29,1,26,1,29,2,28,2,30,1,28,5,8,1,24,1,12,3,11,1,12,2,17,1,9,1,12,1,11,1,12,2,17,1,12,1,17,2,12,1,17,2,12,1,17,6,12,2,17,1,11,1,12,1,9,2,11,2,9,3,12,1,9,1,11,1,17,8,12,1,17,1,12,1,11,1,10,1,12,1,17,2,9,1,17,1,12,1,17,1,12,1,17,1,12,2,9,1,12,1,17,2,12,2,11,3,17,1,9,1,17,1,8,1,10,1,9,1,13,1,7,2,8,1,9,1,28,3,29,1,8,1,24,1,10,1,12,2,7,1,28,1,6,1,30,1,6,1,30,1,8,1,6,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,29,2,28,1,30,1,6,1,28,4,29,1,28,1,29,1,28,2,29,1,12,1,9,1,12,1,8,3,7,1,13,5,9,2,13,1,8,1,13,3,8,2,13,2,8,1,7,1,13,1,8,2,7,1,13,1,6,2,13,1,8,1,29,2,6,1,13,1,8,1,7,2,13,2,8,1,6,1,13,1,8,1,13,2,24,2,13,1,8,1,13,1,7,1,8,1,6,1,8,1,6,1,25,2,8,1,6,1,29,1,7,1,6,2,7,2,13,1,7,1,8,1,13,2,7,1,29,1,13,1,7,1,8,1,7,1,13,1,6,1,24,1,6,2,8,1,7,1,8,1,24,1,8,1,24,1,8,3,24,1,8,3,12,1,9,1,11,1,12,1,17,1,16,3,11,1,17,1,11,2,10,1,17,1,16,1,10,1,16,3,17,1,9,1,16,1,17,1,11,1,17,1,11,1,17,1,16,2,11,1,17,1,16,1,17,24,12,1,17,2,12,1,17,1,11,1,17,3,11,1,17,7,12,1,17,2,16,2,11,1,17,2,11,1,17,9,12,1,17,5,11,1,17,1,12,1,11,3,12,1,11,1,12,1,17,153,12,1,17,1,12,1,17,7,12,1,9,1,11,1,10,2,9,1,13,1,30,2,29,1,7,1,9,1,11,1,12,1,10,1,17,3,12,1,8,2,11,1,13,3,6,1,30,1,6,1,5,3,13,1,28,10,9,1,17,1,12,1,17,1,16,1,10,1,9,1,10,1,9,1,13,2,6,1,8,1,7,1,9,1,11,1,17,1,11,1,17,2,28,6,11,1,17,1,8,1,6,1,29,1,28,1,30,1,28,19,}, {30,2,28,1,29,1,30,1,28,3,30,1,28,7,30,1,6,1,30,1,6,1,7,1,6,1,13,1,29,1,6,1,13,1,9,1,15,1,9,1,13,1,9,1,15,1,17,1,9,1,13,3,6,1,30,1,6,2,17,2,12,1,9,2,11,1,15,2,8,2,13,1,7,1,8,1,15,1,12,1,13,1,6,1,7,1,13,1,6,1,13,2,10,2,9,1,8,1,24,1,8,4,9,1,12,1,17,1,12,1,11,1,8,1,9,1,12,1,11,1,17,1,8,1,30,1,28,3,30,1,28,16,30,1,28,2,30,1,6,1,29,2,13,1,29,1,8,1,24,1,12,2,8,1,13,1,7,1,6,3,8,1,15,1,17,1,14,1,15,1,10,1,9,1,24,1,8,1,12,1,13,2,24,1,7,2,8,1,9,1,24,1,9,1,10,1,13,1,28,2,30,1,28,4,30,1,28,3,30,1,28,3,13,1,5,1104,13,1,28,4,30,1,28,5,29,1,28,7,30,1,7,1,6,1,7,1,13,2,6,1,13,1,7,1,13,2,6,1,7,1,13,1,6,3,7,1,30,1,13,2,7,1,6,1,8,1,9,1,13,2,6,1,7,1,6,1,8,1,9,1,8,1,17,1,9,1,8,1,9,1,16,1,11,1,16,1,12,1,17,1,10,1,28,9,30,1,29,2,28,1,30,1,28,1,13,2,7,1,30,1,28,3,8,1,24,2,29,1,8,1,10,1,24,2,9,1,8,1,28,8,30,1,29,1,30,1,29,1,30,1,27,1,29,1,26,2,25,1,24,1,25,2,24,2,10,2,24,1,12,1,17,1,11,1,10,1,12,2,16,1,9,1,16,4,17,1,16,1,17,10,13,2,17,1,16,3,17,4,8,1,29,1,6,1,7,1,6,1,17,3,16,3,11,1,13,2,9,1,7,1,28,5,6,1,28,14,30,1,28,14,13,2,30,1,6,1,28,8,30,1,6,2,30,1,28,9,13,1,6,1,13,1,8,1,6,2,8,1,9,1,13,1,28,1,30,1,28,1,30,1,7,1,8,1,9,1,11,1,10,1,11,2,16,1,9,4,10,1,8,1,9,1,16,1,11,1,17,2,11,3,16,1,10,1,11,1,9,1,8,1,9,2,11,2,8,2,9,1,10,3,17,1,11,1,17,1,8,1,12,1,9,1,8,1,24,1,8,2,24,1,13,1,8,1,13,1,8,1,7,2,6,2,28,1,30,1,29,1,28,55,30,1,28,18,30,2,28,9,30,1,28,1,7,1,28,1,6,1,28,1,30,1,6,1,28,2,30,1,28,2,30,2,28,1,30,3,6,2,29,1,7,1,29,1,30,1,8,1,7,3,13,1,6,1,7,3,29,1,30,1,8,1,29,1,8,1,6,2,13,1,8,1,7,1,13,2,30,1,13,1,6,1,13,2,7,2,6,1,13,1,7,1,30,1,6,2,13,1,29,1,8,1,7,1,8,1,9,2,10,1,12,2,11,1,13,1,9,1,29,1,6,1,30,1,28,4,30,1,28,28,30,1,6,1,29,1,6,2,30,1,25,2,6,1,7,1,8,2,10,1,9,2,17,2,11,1,17,1,12,1,11,1,17,11,12,1,11,1,17,5,8,1,7,2,6,2,29,1,6,1,28,1,29,1,28,9,30,1,7,1,30,1,13,1,24,1,9,2,12,2,10,1,8,1,24,1,8,1,13,1,12,1,10,1,12,1,17,2,12,1,17,6,11,1,9,1,17,1,10,2,12,1,17,1,12,1,11,1,12,1,11,1,17,1,9,1,13,1,17,9,10,1,9,2,17,1,11,1,9,1,10,1,17,5,11,1,17,1,12,1,11,1,12,1,17,1,12,1,10,1,17,1,12,1,17,1,10,1,12,3,17,1,12,1,17,1,9,1,29,1,6,1,8,1,24,1,7,1,28,1,6,1,29,1,6,1,24,1,9,1,17,2,30,1,29,1,28,1,30,2,28,2,6,1,29,1,30,1,29,1,30,2,28,2,30,1,28,3,30,2,28,1,30,1,28,4,29,1,28,5,30,1,7,1,13,1,8,1,9,1,11,1,13,2,7,1,13,3,9,1,13,2,9,2,8,1,9,1,13,2,8,1,13,5,8,2,13,1,7,1,8,1,6,1,13,1,29,1,6,3,13,1,8,2,13,1,7,1,8,1,7,1,8,1,9,1,8,1,13,1,24,1,9,1,7,1,13,1,24,1,8,1,13,1,6,1,13,1,7,1,25,1,7,1,29,1,8,2,25,1,7,2,8,2,13,1,29,1,8,1,6,1,13,1,8,1,13,1,8,2,30,1,7,1,13,2,8,4,24,1,8,3,13,1,7,1,24,1,8,1,13,1,9,2,8,1,9,1,8,1,11,1,9,1,11,2,16,1,12,1,17,1,12,1,9,1,16,1,9,1,16,3,11,1,16,1,11,6,10,1,16,3,11,1,16,1,11,1,16,3,17,22,16,1,17,4,12,1,17,1,12,1,17,5,12,1,17,11,16,1,17,12,12,1,17,2,9,1,11,1,17,1,12,2,17,1,11,1,12,1,11,1,17,1,11,1,12,1,11,1,17,3,11,1,17,1,12,1,17,143,12,1,17,5,12,1,17,6,11,2,9,1,10,1,9,1,8,1,13,1,6,1,7,1,13,1,9,1,10,2,11,2,12,1,11,2,10,1,11,1,9,3,13,1,6,2,30,1,13,1,5,2,13,1,30,1,28,9,9,1,17,2,16,1,11,1,10,1,8,1,10,1,24,1,8,1,7,1,13,3,9,2,11,2,17,1,12,1,28,6,11,1,17,1,9,1,7,1,6,1,28,21,}, {28,2,7,1,30,1,28,1,6,1,28,7,30,1,28,1,13,1,29,1,6,2,13,1,6,1,30,1,24,1,8,1,6,1,8,1,6,1,8,1,9,1,13,1,24,1,9,1,17,1,12,1,7,1,30,1,13,1,8,1,30,2,13,1,17,2,12,1,8,1,9,2,8,1,15,1,24,1,13,1,6,2,8,1,15,1,14,1,13,1,6,1,13,1,29,1,13,2,8,1,9,1,12,1,8,1,13,3,8,2,13,2,11,1,17,2,9,3,11,1,12,1,17,1,8,1,6,2,28,21,29,1,30,2,13,3,7,1,6,1,24,1,17,1,12,1,24,1,6,1,7,1,8,1,6,1,29,1,8,1,12,1,9,1,14,1,11,1,13,1,10,1,9,1,24,1,13,2,7,2,13,1,8,1,7,1,13,1,9,1,15,1,10,1,13,1,6,1,28,3,29,1,28,1,30,1,28,4,30,1,28,2,6,1,13,1,5,1104,28,5,29,1,30,1,28,7,6,1,28,4,13,2,6,1,8,2,13,2,8,1,9,1,13,2,7,1,29,1,7,1,6,1,7,1,29,1,7,1,29,1,30,2,6,1,13,1,12,1,9,1,29,1,7,1,6,1,7,1,6,2,13,1,8,1,9,2,13,1,8,1,11,1,12,1,17,2,11,1,17,1,28,1,30,2,28,2,30,1,28,1,30,2,29,1,30,1,28,3,24,1,8,2,29,1,28,3,6,1,24,1,6,1,28,1,29,1,12,1,10,1,24,2,13,1,7,1,6,1,28,5,30,1,28,2,30,1,28,1,27,1,28,1,30,1,29,1,27,1,29,1,24,1,8,1,24,4,10,1,8,1,12,1,8,1,17,1,10,1,12,1,9,1,17,2,16,1,17,1,16,3,17,2,16,1,17,19,12,1,13,1,6,1,13,2,17,3,16,1,9,1,6,1,28,1,30,1,28,37,30,1,13,1,7,1,28,1,13,1,28,20,13,4,8,1,6,1,13,1,9,1,10,2,11,1,9,1,13,3,9,3,11,1,16,1,17,3,11,2,9,1,16,2,17,4,16,1,11,3,10,1,9,1,11,1,9,1,8,2,9,1,13,1,8,1,9,2,8,1,11,1,24,1,11,1,24,1,17,1,10,1,12,1,24,1,9,1,13,1,8,1,24,2,13,1,8,1,7,1,8,1,13,1,8,1,7,1,29,1,28,1,30,1,28,1,6,1,28,58,30,1,28,16,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,29,1,28,3,6,2,30,1,6,1,29,1,28,1,6,1,29,1,6,1,28,1,13,1,30,1,6,1,30,1,6,1,28,1,10,1,30,1,8,1,28,1,13,1,6,1,13,4,6,1,7,1,6,1,13,1,8,1,6,1,13,1,7,1,9,1,6,1,13,1,7,1,13,2,7,2,6,1,29,1,13,1,6,1,7,1,6,2,13,4,24,1,10,4,11,1,24,1,9,1,24,1,8,1,6,1,28,3,30,1,28,33,29,1,28,1,29,1,7,1,30,1,6,1,7,1,13,1,24,3,17,2,24,1,12,1,17,1,12,1,17,1,11,1,12,2,17,2,11,1,17,11,12,2,24,2,6,1,30,1,26,1,6,1,29,2,28,10,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,8,2,17,2,10,1,17,1,12,1,11,1,17,3,12,1,9,1,12,1,17,1,11,1,17,1,12,1,10,1,17,1,24,1,12,1,11,1,12,1,17,1,24,1,17,10,12,1,17,1,11,1,17,1,10,1,11,1,10,2,12,1,11,1,17,1,10,2,17,1,12,2,8,1,11,1,8,1,10,1,17,1,9,2,17,1,10,1,17,1,12,1,17,3,9,1,7,1,6,1,13,1,10,1,13,1,30,1,28,1,7,1,24,1,10,1,17,1,12,1,13,1,28,2,6,1,30,2,6,1,30,1,29,3,28,1,30,1,28,1,30,1,28,1,30,2,28,6,30,3,28,3,30,1,29,1,28,3,30,1,28,1,8,1,24,1,11,1,9,2,7,2,8,3,9,2,8,3,9,1,8,1,13,3,24,1,8,1,24,1,13,1,7,1,13,1,8,1,13,1,7,1,6,1,29,2,7,1,6,1,29,1,13,1,9,1,13,1,8,1,30,1,6,1,24,1,8,1,24,1,13,1,8,2,13,1,24,1,9,1,8,1,24,1,7,1,13,1,7,1,13,1,7,1,13,1,25,1,6,1,13,1,8,1,6,2,7,1,6,1,8,1,7,1,10,1,7,1,8,1,13,2,8,1,13,1,24,1,13,1,6,1,13,1,8,1,7,1,13,2,24,1,13,1,7,1,6,1,24,1,13,1,24,1,8,1,9,1,13,1,9,1,24,1,9,5,10,1,9,1,11,1,16,2,11,1,16,1,9,3,11,1,10,1,16,1,11,2,16,2,11,1,9,1,11,3,9,1,11,2,16,1,11,1,10,1,16,1,17,36,12,1,17,8,16,1,17,1,11,1,17,7,12,1,17,2,11,1,17,2,12,2,17,1,11,3,17,1,12,1,17,2,9,1,11,1,10,1,17,2,11,2,17,2,11,1,17,1,12,1,11,1,17,1,12,3,11,1,12,1,17,37,12,1,17,39,12,1,17,5,12,1,17,7,12,3,17,1,12,2,17,1,11,1,17,4,12,1,17,30,11,1,17,4,11,1,17,1,12,1,17,1,12,1,17,5,12,1,10,1,9,4,13,1,30,1,28,1,6,1,13,1,9,1,11,1,17,2,9,1,10,1,11,2,12,1,10,2,13,2,7,1,28,2,30,1,5,1,30,2,28,9,10,1,14,1,17,3,10,1,9,1,11,1,24,1,8,1,7,1,8,1,13,2,9,1,11,1,9,1,12,1,17,1,9,1,30,1,28,5,17,2,13,1,29,1,30,2,28,1,29,1,28,18,}, {30,1,13,1,28,1,7,1,29,1,28,8,6,1,28,1,30,1,29,4,6,1,28,1,7,2,6,1,13,1,8,2,12,1,24,1,13,1,24,1,12,1,9,1,8,1,29,1,13,1,6,2,29,1,6,1,17,3,13,1,9,1,10,1,24,1,9,1,8,1,13,2,6,1,13,1,10,1,15,1,8,1,6,1,13,1,6,1,7,1,6,1,8,1,12,1,11,1,9,2,13,4,9,1,13,1,8,1,17,1,16,1,9,1,24,2,16,1,9,1,14,1,13,1,6,1,30,1,28,3,30,2,28,13,30,1,28,2,30,1,28,1,29,1,8,1,13,1,6,1,30,1,13,1,9,1,12,1,17,1,10,1,13,1,6,1,13,1,6,1,30,1,8,1,10,1,15,1,12,1,10,1,8,1,13,1,8,2,13,1,6,1,7,1,13,1,6,1,7,1,13,1,9,2,10,1,17,1,8,1,28,9,30,1,28,1,30,1,28,2,30,1,9,1,5,1102,33,1,28,3,6,1,30,1,28,2,13,1,28,5,30,1,28,2,30,1,28,2,13,5,7,2,13,1,8,1,13,4,8,1,7,1,13,1,6,2,30,1,6,1,13,2,7,1,13,1,8,2,13,1,9,1,12,1,13,2,6,1,7,1,13,1,6,1,8,1,12,1,10,1,12,1,17,1,11,1,12,1,9,1,12,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,28,1,30,1,28,1,29,1,8,1,13,1,7,1,28,2,30,2,9,1,6,1,13,1,17,1,13,1,7,1,9,1,24,1,10,1,24,1,8,1,29,1,28,10,30,3,29,1,25,2,27,1,8,1,24,2,8,1,10,1,24,1,9,1,24,1,9,4,12,1,11,2,10,1,17,1,11,1,12,1,17,2,16,2,11,1,17,1,16,1,17,10,11,2,16,1,9,1,11,1,17,1,10,1,28,1,13,1,11,1,17,2,11,1,17,1,9,1,6,1,28,1,30,1,28,38,13,3,28,1,13,1,28,1,13,1,28,9,30,1,28,7,6,1,9,2,13,1,11,1,9,1,6,3,13,1,9,2,11,1,17,1,11,3,9,1,11,1,17,1,16,2,17,5,16,1,17,2,11,1,17,1,16,1,17,1,11,1,9,1,16,1,9,2,13,3,9,1,13,1,8,1,13,1,11,1,8,1,11,1,9,1,24,1,12,1,9,2,10,1,8,1,24,1,9,1,6,1,8,1,13,1,8,1,13,1,8,1,7,1,6,3,28,1,30,1,28,3,30,1,28,61,30,2,28,22,29,1,6,1,29,1,30,1,28,1,30,1,28,3,6,1,28,2,30,1,29,1,6,1,28,1,30,2,6,1,30,1,6,1,30,1,13,1,29,1,28,1,13,1,6,1,13,1,8,1,13,2,6,1,7,2,6,1,13,2,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,1,9,1,6,2,30,1,29,3,6,1,13,2,7,1,13,2,6,1,11,1,12,2,17,1,10,1,8,1,10,1,8,1,9,1,13,2,30,2,28,2,30,1,28,33,30,1,6,1,30,1,6,2,7,2,13,2,9,1,10,2,9,1,12,1,10,1,17,1,12,1,17,1,12,2,17,1,12,1,17,7,12,1,17,1,12,1,17,1,12,1,17,2,12,1,11,1,8,1,29,2,6,1,29,1,27,1,6,2,28,3,30,1,28,15,30,1,28,1,29,1,13,1,9,1,24,1,17,1,11,1,17,1,10,2,17,1,10,1,12,1,17,3,11,2,17,1,9,1,12,1,17,1,11,2,12,1,11,1,10,1,17,11,10,1,17,1,12,1,11,3,10,1,12,1,10,1,11,1,9,1,10,1,17,3,24,1,9,4,12,1,10,2,17,3,9,1,17,4,7,1,6,2,24,1,6,1,29,1,7,2,8,1,24,1,17,1,10,1,6,2,30,2,28,3,29,1,6,1,30,1,6,3,29,2,30,1,28,4,30,1,28,1,30,1,28,1,30,3,28,2,30,1,28,3,29,1,30,1,6,1,29,1,13,1,24,2,12,1,10,1,8,1,10,1,8,3,13,1,8,1,9,1,8,1,9,1,8,3,9,1,13,5,8,3,10,1,24,1,7,1,30,1,7,1,6,1,7,1,6,1,7,1,13,1,8,1,13,4,8,2,9,1,13,1,8,1,9,1,8,1,13,1,8,2,6,1,13,1,8,1,29,1,8,1,29,2,7,4,8,2,6,1,24,1,13,2,8,1,6,1,13,2,6,1,9,1,8,1,13,1,7,1,8,1,24,1,13,1,8,1,10,1,13,1,8,1,24,1,8,2,9,1,8,1,13,4,9,1,8,1,24,1,9,1,8,1,9,2,16,1,11,2,9,1,16,1,9,2,11,3,16,1,9,1,16,1,11,4,9,2,10,1,16,1,10,2,9,1,11,1,10,1,16,1,17,1,16,1,17,16,16,1,17,7,12,1,11,1,17,1,12,1,17,7,12,1,17,28,11,1,12,1,9,1,10,1,11,2,17,1,12,1,11,1,17,1,11,1,17,3,12,1,17,1,11,1,10,1,11,1,12,1,17,1,12,1,17,1,12,1,17,5,12,2,17,62,12,1,17,6,12,1,17,7,12,1,17,1,11,1,17,2,12,1,11,1,17,1,11,1,10,2,12,1,10,1,12,1,8,1,9,1,12,1,17,35,12,1,17,1,12,1,17,10,11,1,12,2,17,1,9,2,8,1,13,1,6,1,29,1,6,2,13,1,9,1,11,2,12,1,17,1,12,2,17,1,9,1,24,1,10,1,13,1,8,1,30,1,28,2,16,1,28,11,12,1,14,1,17,3,10,1,9,1,12,1,9,1,8,1,24,1,6,1,8,1,13,1,9,1,16,1,17,3,9,1,28,6,17,2,8,1,30,1,29,1,28,21,}, {28,1,29,1,6,1,28,1,6,1,28,1,29,1,28,5,30,1,29,1,28,1,30,1,28,2,30,1,29,1,28,1,13,1,30,1,13,2,6,1,24,1,8,3,9,2,15,1,24,1,29,1,7,1,13,2,6,1,29,1,8,1,17,3,8,1,13,1,10,1,9,3,8,1,6,3,8,1,14,1,8,3,6,1,29,1,13,1,9,1,17,2,13,1,9,2,8,1,9,1,11,1,9,2,10,1,17,2,16,1,12,1,9,2,11,1,17,1,11,1,30,2,28,6,30,1,28,9,29,1,28,4,29,1,28,2,6,1,13,1,9,1,8,1,13,1,24,1,17,2,24,1,8,1,13,2,7,1,6,2,9,2,12,2,24,1,9,1,24,1,9,1,13,2,6,2,8,1,13,1,7,1,9,2,12,1,17,1,8,1,28,2,30,1,28,2,30,1,28,9,6,1,33,1,5,1101,28,5,30,2,6,2,28,5,6,1,28,2,30,1,28,2,7,1,13,1,30,1,13,4,8,1,13,1,7,1,6,2,29,1,13,1,6,1,13,1,6,1,7,1,6,1,7,1,6,2,17,1,29,1,10,1,13,1,11,1,10,1,12,1,10,1,17,1,7,1,13,2,6,1,8,1,17,2,10,1,12,1,9,1,8,1,12,1,9,1,13,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,6,1,8,1,24,1,7,1,28,2,29,1,13,2,6,1,12,1,13,1,28,1,29,1,7,1,24,2,9,1,24,1,6,1,28,9,30,2,28,2,29,1,27,1,30,1,25,2,8,1,24,2,8,1,10,1,24,1,12,2,24,1,12,1,10,1,12,1,10,1,9,1,17,2,11,1,17,2,11,1,17,13,11,1,8,1,13,1,9,1,11,1,9,1,8,1,17,1,9,1,13,1,8,1,11,1,17,2,16,1,17,1,30,2,6,1,28,37,6,1,28,1,13,3,28,1,16,1,28,19,6,1,9,5,13,1,8,2,13,2,9,4,11,1,17,1,11,2,16,1,10,1,11,3,17,1,11,1,16,1,17,3,16,1,11,1,16,1,11,1,16,1,8,1,9,4,8,1,9,2,8,3,9,1,8,1,10,1,8,1,24,1,9,2,12,1,8,1,10,1,8,1,24,1,8,1,30,1,7,1,13,1,8,1,6,1,7,2,29,1,28,2,29,1,28,3,6,1,28,62,30,1,28,21,30,2,29,1,6,1,30,1,29,1,7,1,29,1,28,2,30,2,6,1,13,1,29,1,6,1,28,1,6,1,30,2,6,1,29,1,6,1,29,1,13,2,6,1,8,1,13,3,7,1,13,4,7,1,13,1,6,1,13,1,8,1,6,2,13,1,8,1,13,2,7,1,9,1,13,1,6,1,13,1,7,1,6,1,7,2,30,1,13,1,7,1,8,1,24,2,12,1,17,1,12,1,17,1,12,1,9,1,12,1,10,1,8,1,29,1,6,1,28,1,29,1,28,34,30,1,28,2,29,1,30,1,28,1,30,1,6,1,29,1,8,1,24,1,12,1,24,1,10,1,17,2,8,1,11,1,12,2,9,1,17,2,11,1,12,1,17,5,12,1,17,7,9,1,17,1,13,1,8,1,7,1,6,3,30,2,28,18,30,1,28,2,29,1,13,1,8,1,24,1,12,1,10,1,11,1,17,2,11,1,17,2,10,1,12,2,9,1,17,1,12,2,9,1,11,1,17,1,9,1,17,2,16,1,17,15,11,1,17,3,9,1,17,2,9,1,12,1,9,2,12,3,8,1,9,1,17,1,10,1,9,1,10,1,12,1,24,1,12,1,10,1,11,1,17,2,13,1,8,1,29,1,12,1,29,1,28,1,13,2,17,2,24,1,7,1,6,1,29,1,6,1,29,2,30,1,28,2,29,2,30,1,6,1,28,1,29,1,30,1,28,2,30,1,28,4,30,1,28,1,29,1,30,2,28,1,29,1,28,2,29,1,28,1,30,1,28,3,30,1,7,1,6,1,9,1,17,1,13,1,9,4,13,1,9,1,8,3,9,1,8,1,13,4,24,1,13,1,8,3,24,1,13,3,29,1,6,1,13,1,7,1,13,1,8,1,24,1,13,2,6,2,24,1,13,2,9,5,10,1,9,1,8,1,7,1,6,1,13,1,7,2,29,1,13,2,8,2,6,1,7,1,8,3,24,1,13,1,8,3,7,1,13,1,8,1,6,1,7,1,24,1,7,1,8,1,13,1,8,1,13,1,24,1,9,1,13,1,8,1,13,1,8,2,24,1,10,1,13,1,9,1,8,2,13,1,8,1,10,1,9,2,12,1,8,1,9,2,16,2,11,1,16,1,11,1,16,3,9,1,16,1,11,2,16,1,10,1,9,1,10,1,11,1,9,3,11,2,16,2,17,28,12,1,11,3,17,7,12,1,11,2,17,7,11,1,17,5,11,1,17,6,12,1,17,1,11,1,17,1,11,1,17,1,11,1,17,1,11,4,17,3,10,1,11,1,12,1,11,1,12,2,17,1,10,1,12,2,17,2,12,1,17,1,12,1,17,1,11,1,17,1,12,4,17,21,12,1,17,4,12,1,17,2,10,1,17,2,12,1,17,6,12,1,17,6,12,1,17,2,11,1,17,3,11,1,17,1,10,1,11,1,17,4,11,1,17,8,12,3,17,1,11,1,17,2,11,1,12,1,17,1,11,1,17,2,10,1,12,2,9,1,12,2,10,1,9,1,10,1,12,1,17,1,9,1,17,1,12,2,17,15,12,1,17,10,12,1,17,1,11,1,17,1,12,2,17,7,12,1,17,1,12,1,17,2,11,1,12,1,11,1,12,1,13,1,6,2,7,1,30,1,7,1,8,1,9,1,11,1,12,2,17,1,12,1,17,1,11,2,10,1,24,2,6,1,30,1,28,13,9,1,17,4,10,2,24,1,9,1,13,1,6,2,8,1,13,1,9,1,10,1,17,1,12,1,11,1,10,1,28,6,9,1,17,1,13,1,30,1,28,22,}, {30,1,28,2,30,1,6,1,28,2,30,1,28,3,30,1,29,1,6,1,30,2,28,4,30,1,7,1,28,1,6,1,13,3,24,2,6,1,13,1,9,1,12,2,8,1,29,1,6,1,29,1,13,1,7,1,6,1,17,3,9,1,17,1,9,1,8,1,11,1,9,1,8,1,6,3,9,1,14,1,13,3,6,1,7,2,24,1,17,1,12,3,8,1,10,1,12,2,9,2,17,4,16,1,9,1,16,2,14,1,16,1,7,1,28,25,13,2,8,1,13,2,11,1,17,3,13,1,7,1,6,1,7,1,13,1,24,1,17,2,10,2,13,1,8,1,9,1,7,1,6,3,13,1,6,1,13,2,10,1,9,1,17,2,13,1,30,1,28,1,29,1,28,12,6,1,13,1,5,1100,13,1,28,4,30,1,28,2,30,1,28,1,6,1,28,2,30,1,28,2,30,1,28,3,30,1,13,3,7,1,13,1,30,1,6,1,13,1,7,2,13,3,7,2,6,1,13,2,7,1,29,1,6,1,8,1,11,1,7,1,10,1,12,1,10,1,8,1,13,1,6,1,9,1,10,1,13,1,30,1,13,1,9,1,17,1,10,1,9,3,10,1,8,1,13,1,9,1,29,2,28,4,30,1,28,1,30,3,28,1,24,1,7,1,8,1,13,1,28,1,30,2,24,1,13,1,11,1,6,1,28,4,10,2,13,1,24,1,6,1,28,10,29,1,30,1,28,2,29,1,26,1,25,2,24,2,8,1,24,1,8,1,12,1,24,1,12,1,17,1,12,2,17,1,9,1,16,1,11,2,17,2,11,1,16,1,11,1,17,4,16,1,17,6,10,1,6,2,13,2,16,1,13,2,17,2,13,1,11,1,17,4,16,1,7,1,28,39,30,1,28,1,13,1,9,1,13,1,28,1,16,1,28,19,13,1,8,1,9,2,11,2,9,1,11,1,9,1,7,1,8,1,9,4,13,1,9,1,13,3,9,1,8,1,9,1,8,1,9,1,11,1,17,1,11,1,16,1,17,2,16,1,9,1,11,1,10,1,9,2,11,1,10,1,11,4,17,1,10,1,9,1,10,2,24,2,9,1,24,1,9,1,10,1,8,3,13,1,8,1,13,1,8,1,24,1,8,1,6,1,29,2,6,1,29,1,28,5,30,1,28,65,30,1,28,18,30,1,28,1,7,1,28,1,6,1,28,1,30,1,7,1,28,2,6,1,30,1,28,2,30,3,6,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,8,1,6,1,7,1,13,2,24,1,9,1,13,2,8,1,13,1,8,1,7,1,13,2,7,1,13,1,8,1,13,2,8,1,13,3,6,1,30,1,13,1,30,2,13,2,8,1,13,1,10,1,11,1,12,3,17,1,10,1,24,1,9,1,10,1,6,1,8,1,29,1,30,1,28,41,30,1,29,2,30,1,8,1,7,1,8,1,12,3,17,1,11,1,12,2,17,1,10,1,17,1,12,3,17,1,12,1,17,1,12,1,17,1,9,1,17,1,12,1,17,4,12,2,24,1,9,1,8,1,7,1,6,4,30,1,28,3,30,1,28,13,30,1,28,2,29,2,6,1,24,1,8,1,17,9,12,1,17,1,12,1,17,1,9,1,17,2,12,2,16,1,11,1,17,15,11,1,12,1,17,3,8,1,17,1,12,1,11,1,12,2,17,1,10,1,11,1,8,1,13,1,10,1,12,1,11,1,10,2,9,1,11,1,17,1,12,2,11,1,9,1,17,1,10,1,9,1,13,1,24,1,6,1,13,1,8,1,9,1,17,2,7,1,13,1,28,1,6,1,28,1,30,1,28,1,29,3,30,3,29,1,6,1,30,1,29,1,6,1,28,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,2,13,1,6,1,13,1,11,1,12,1,8,1,9,3,8,1,9,1,8,1,9,1,8,1,9,2,13,2,9,1,13,2,8,1,13,1,9,1,13,1,8,3,9,1,8,1,24,1,7,1,8,2,13,1,8,1,7,1,8,3,24,2,8,2,9,3,24,1,10,1,9,1,7,1,8,1,7,1,6,1,7,1,13,1,6,2,29,1,13,1,7,1,8,1,6,1,13,2,7,1,13,3,8,1,7,1,13,3,8,1,7,1,8,1,13,2,9,1,13,5,24,1,8,3,13,1,8,1,7,1,8,1,13,1,8,1,9,1,8,1,9,3,11,1,17,1,16,3,11,1,16,1,9,1,16,1,11,3,16,1,17,1,11,1,17,1,16,1,10,1,9,1,16,2,9,4,13,1,17,1,16,1,17,26,12,2,17,2,11,1,17,5,11,1,17,4,12,1,17,21,11,1,17,2,9,1,11,2,12,3,11,1,17,2,11,2,17,1,11,1,12,2,10,2,11,1,12,1,10,2,17,1,12,1,17,1,11,1,12,1,17,2,12,2,11,2,17,1,12,1,17,7,12,1,17,5,12,1,17,1,11,1,17,3,12,1,17,2,12,1,17,2,12,1,17,1,10,1,12,1,17,5,12,1,17,1,12,1,17,1,12,2,10,1,17,2,12,3,17,6,12,1,17,15,11,1,12,1,17,1,12,1,17,1,10,2,11,1,17,1,12,1,10,1,11,1,12,1,17,1,12,2,10,1,12,1,8,1,10,1,12,1,10,1,17,1,9,1,12,1,10,1,17,1,9,1,10,1,12,1,17,14,12,1,17,4,12,1,17,9,10,1,17,1,12,1,17,1,12,1,17,5,12,1,17,1,12,1,17,1,12,1,11,1,12,1,9,1,11,1,24,1,13,2,30,1,6,1,13,1,9,1,10,2,12,1,17,1,12,1,17,1,12,3,8,1,24,1,6,1,28,14,15,1,14,1,17,3,12,1,11,1,8,1,24,1,8,1,13,1,8,1,24,1,13,1,9,1,24,1,11,1,17,2,6,1,28,6,17,1,11,1,28,1,29,1,28,2,29,1,28,19,}, {28,1,29,1,28,1,30,1,29,1,13,1,30,2,28,1,6,1,28,1,30,1,28,1,7,1,6,1,29,1,28,3,6,4,30,1,29,1,7,1,13,1,6,1,24,1,13,1,6,1,15,1,14,1,10,1,7,1,30,1,13,1,6,1,13,1,6,1,29,1,17,3,9,2,13,1,15,1,8,1,10,1,8,1,13,1,6,1,28,1,9,1,11,1,9,1,8,1,13,1,6,3,8,1,17,3,12,1,10,1,12,1,10,1,24,2,11,1,12,1,17,4,11,1,17,1,16,1,14,2,6,1,28,21,30,1,28,2,30,2,6,1,8,1,13,1,24,1,11,1,17,2,12,1,9,1,6,1,7,1,6,1,30,1,6,1,17,3,12,1,9,3,8,2,6,2,8,1,13,1,6,1,24,1,9,1,24,1,17,1,14,1,8,1,30,1,28,6,29,1,28,7,30,1,6,1,5,1100,28,6,30,1,28,1,30,1,28,3,30,1,28,1,29,1,30,1,28,3,13,1,6,2,13,1,7,1,13,1,7,1,13,1,8,1,29,1,13,1,6,1,29,1,13,1,29,1,7,2,13,1,7,1,6,1,7,2,6,1,9,1,13,1,10,1,8,1,11,1,29,1,13,1,12,2,9,1,10,1,13,1,7,1,8,1,9,1,11,1,10,1,17,1,12,1,9,2,11,1,9,1,17,1,12,1,30,1,29,1,28,4,29,1,30,2,28,1,30,1,25,1,6,1,24,1,8,1,30,1,6,2,8,1,24,1,9,1,13,1,28,4,12,1,7,1,13,2,29,1,28,10,29,1,27,1,29,1,30,1,26,1,27,1,25,2,24,4,10,1,24,1,12,1,8,1,12,1,10,2,24,1,9,2,11,1,12,1,17,16,6,2,30,1,13,3,11,1,13,1,9,1,16,1,17,2,16,1,17,2,16,1,13,1,28,42,13,3,28,1,9,1,13,1,28,17,13,1,9,2,10,1,17,1,11,2,8,1,9,2,13,5,9,2,8,1,13,1,7,1,9,3,13,2,6,1,9,1,13,1,11,1,17,2,11,2,16,1,11,1,10,1,8,1,10,1,17,3,11,1,12,1,17,1,12,1,11,1,9,2,24,1,12,1,9,1,24,1,10,1,9,2,24,1,7,1,13,3,6,1,7,1,6,1,7,1,6,1,29,2,28,1,30,1,28,86,30,1,28,1,30,1,28,2,30,1,28,5,30,1,7,1,30,2,28,1,30,2,28,2,6,1,30,1,6,2,7,1,6,1,13,1,29,1,6,1,8,1,9,1,7,1,8,1,9,2,7,1,13,1,6,1,9,1,13,1,29,1,13,3,7,1,13,2,9,1,6,1,7,1,6,1,13,2,30,1,7,1,6,1,29,1,6,2,8,1,6,1,13,1,10,1,11,1,12,1,17,2,10,1,17,1,12,2,24,1,8,1,13,1,6,1,28,45,7,1,6,1,30,1,8,1,9,1,17,2,10,1,9,1,12,1,11,1,9,1,17,1,10,1,11,1,10,1,17,9,12,1,17,1,12,1,17,1,12,3,10,1,24,1,13,3,6,1,29,1,27,1,29,3,28,11,30,1,28,1,30,1,28,2,30,1,28,1,30,1,29,1,7,1,24,1,9,1,8,1,17,2,11,1,17,1,10,1,17,2,12,1,17,1,9,1,12,1,17,1,12,1,17,1,9,1,12,1,17,2,11,1,17,10,12,1,17,3,9,1,11,1,17,2,12,1,17,1,12,2,10,2,9,1,12,1,10,1,9,1,17,2,12,1,10,1,12,3,17,1,12,1,9,1,12,1,8,1,17,2,12,2,10,1,17,1,10,1,11,1,8,1,9,1,8,1,10,1,12,1,9,1,6,1,29,1,30,1,6,1,28,1,30,1,29,1,28,1,29,1,28,1,29,4,30,1,6,1,29,3,28,4,29,1,30,1,28,1,30,1,28,3,30,3,28,1,30,2,28,3,6,1,28,2,8,1,7,1,17,2,11,1,10,1,9,1,8,1,9,1,13,1,9,2,8,1,10,1,8,1,13,2,8,1,24,1,8,3,24,1,13,1,8,1,24,2,8,1,24,1,13,1,8,1,9,1,8,1,9,1,13,1,8,1,6,1,8,1,13,2,9,1,8,1,10,1,9,1,8,1,13,2,24,1,8,2,7,1,13,1,6,1,13,1,7,1,6,3,8,4,13,1,8,1,24,1,8,1,13,1,8,1,13,3,7,1,8,1,30,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,8,3,13,1,24,1,9,1,7,1,8,2,24,1,8,5,10,1,17,1,10,1,9,1,16,1,11,1,16,4,11,1,17,1,11,1,16,1,11,3,16,1,9,1,10,1,9,1,10,1,16,1,9,4,17,1,16,1,17,32,11,3,17,7,11,1,17,15,12,1,17,3,11,1,12,1,17,1,11,1,17,3,11,1,17,1,10,1,11,1,17,1,12,2,11,5,17,1,11,1,10,2,12,1,11,1,12,2,11,1,12,3,11,2,12,1,11,1,9,1,12,1,11,1,10,1,11,1,12,1,9,1,11,1,10,2,11,1,12,1,9,1,11,1,9,1,17,9,12,1,17,1,12,2,24,1,10,1,24,1,17,1,12,3,17,4,12,3,17,3,12,2,17,4,10,1,17,3,12,2,17,1,12,3,17,8,12,1,17,1,12,1,17,2,12,3,17,1,10,2,12,1,9,1,10,1,12,1,9,1,12,1,17,1,11,1,12,1,11,2,17,1,24,1,8,1,10,2,12,1,11,1,10,1,12,1,24,1,9,1,12,1,9,1,17,1,24,1,11,1,17,10,12,1,17,1,12,1,17,12,12,1,17,13,11,1,10,1,9,1,8,1,13,2,7,2,29,1,13,2,17,1,12,2,17,4,10,1,12,1,24,1,6,1,28,3,30,1,28,2,30,1,28,7,14,2,17,2,16,1,17,1,11,1,9,1,7,2,6,1,24,2,9,1,11,1,10,1,12,1,17,1,10,1,13,1,28,6,17,1,12,1,7,1,30,4,28,19,}, {28,3,29,1,28,2,30,1,29,1,30,3,8,1,6,1,7,1,6,2,28,1,6,2,29,1,30,1,13,1,7,1,29,1,30,1,13,1,29,1,8,2,13,3,15,1,10,1,13,1,6,2,7,2,28,1,13,1,24,1,17,2,11,1,8,1,12,1,9,1,24,1,14,1,13,1,29,1,30,1,6,1,24,1,12,1,10,1,13,2,8,1,13,1,6,1,7,1,12,1,17,3,8,1,9,1,13,1,9,1,8,2,12,1,17,3,16,1,9,1,11,1,16,1,14,1,16,1,6,1,28,1,30,1,28,20,30,1,28,2,29,1,6,1,9,1,8,2,17,3,9,1,13,1,6,1,7,1,29,1,13,1,28,1,17,2,12,1,15,1,24,1,9,1,8,1,13,3,8,1,13,1,24,1,13,1,9,1,8,1,12,2,17,1,9,1,28,1,30,1,28,14,13,1,5,1099,30,1,28,4,6,1,28,14,6,1,30,1,13,1,8,1,6,1,13,1,9,1,13,1,24,1,6,1,13,1,7,1,13,2,7,1,6,1,7,2,29,1,13,1,7,1,6,2,9,1,17,1,24,1,8,2,13,1,9,1,10,1,13,1,24,2,7,1,8,1,24,1,9,1,12,2,17,2,16,1,10,1,11,1,12,1,17,2,8,1,28,2,29,2,30,1,29,1,28,1,30,1,28,1,30,1,24,1,13,1,7,1,24,1,7,1,13,2,9,1,11,1,10,1,17,1,28,4,8,1,13,1,30,1,24,1,28,10,30,1,28,1,29,1,30,2,26,1,27,1,25,3,10,1,24,1,12,1,24,2,10,1,12,2,17,1,10,1,11,3,12,1,17,5,11,1,17,9,16,1,9,1,6,1,28,2,6,1,7,1,13,1,10,1,9,1,11,3,16,1,11,1,16,1,11,1,9,1,28,40,30,1,28,2,6,1,9,2,28,1,13,1,8,1,28,1,30,1,28,14,30,1,13,1,9,2,17,1,16,2,12,1,17,1,11,1,9,1,13,1,6,1,8,3,13,8,9,1,13,1,8,1,13,3,9,1,11,1,16,2,11,3,16,1,17,4,10,1,17,2,11,1,17,1,10,1,12,2,10,1,24,1,8,3,24,2,13,2,6,2,13,1,6,4,30,1,28,1,30,1,29,1,30,1,28,4,6,1,28,84,30,1,28,3,30,1,28,1,6,1,30,4,6,1,28,1,6,1,29,1,28,1,13,1,6,1,28,1,13,1,7,1,30,1,6,1,30,1,6,1,7,1,13,2,7,1,8,2,9,1,13,3,8,1,30,1,6,1,13,2,7,1,13,2,7,1,29,1,8,1,6,2,13,1,29,1,28,1,6,3,30,1,8,3,17,1,10,1,17,3,11,1,17,1,9,2,8,2,7,1,28,1,30,2,28,45,6,1,13,2,9,3,17,1,10,1,12,1,9,1,17,1,12,3,17,5,11,1,12,1,17,5,12,1,17,3,12,1,24,1,10,1,13,1,29,2,27,1,29,2,30,1,28,1,30,2,28,7,30,1,28,3,29,1,28,3,6,1,30,1,13,1,8,2,10,1,17,2,11,1,17,4,12,1,17,1,11,2,12,2,17,1,9,3,16,1,17,12,12,1,17,1,11,1,17,2,10,1,17,1,12,1,17,1,12,1,11,1,17,1,11,1,17,2,11,2,9,2,8,1,17,1,12,4,8,1,12,2,9,1,11,1,12,2,17,2,10,1,12,1,17,4,12,1,9,1,12,1,24,1,7,1,6,1,29,2,28,2,29,1,30,1,28,1,30,1,28,1,29,2,30,1,29,1,30,1,29,1,30,1,29,2,28,1,6,1,28,4,30,1,29,1,28,2,30,1,28,2,30,2,28,4,30,2,13,1,29,1,30,1,10,1,17,1,12,1,10,1,9,1,10,1,8,1,9,1,13,1,10,1,9,1,8,3,13,1,8,2,13,1,8,1,13,1,9,1,8,3,9,2,24,1,9,1,24,1,13,1,9,1,8,2,13,1,8,1,6,1,8,2,9,2,8,1,13,2,7,1,8,1,7,1,6,2,13,1,7,2,6,1,29,2,6,2,10,1,7,1,13,1,6,1,9,2,8,1,9,1,8,1,9,1,8,4,24,1,13,2,8,2,6,1,8,1,13,2,8,3,13,1,24,1,8,2,7,1,8,2,13,1,10,1,9,9,16,1,11,2,10,1,11,1,17,1,11,3,16,3,8,1,11,1,10,2,16,1,11,1,9,2,16,3,17,35,11,3,17,2,12,1,17,9,12,1,17,3,12,1,11,1,17,2,11,1,17,2,12,1,11,1,17,4,12,1,10,1,11,1,17,1,12,1,17,1,9,1,11,5,10,1,17,1,11,1,10,1,11,2,17,1,11,1,9,1,10,1,17,1,11,2,17,1,12,3,11,3,12,1,10,1,9,1,10,1,8,1,9,1,11,1,10,1,11,1,9,1,10,3,12,1,10,2,9,1,10,2,8,1,24,1,10,1,24,2,10,1,9,1,17,1,12,1,17,2,12,3,17,8,12,2,17,2,11,1,10,1,12,1,17,1,12,2,17,2,12,1,17,5,12,1,17,6,11,1,17,2,12,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,2,12,3,17,1,11,1,10,1,12,1,10,1,11,1,17,2,11,1,17,1,10,3,24,1,13,1,24,5,11,1,13,1,12,1,17,6,12,1,17,2,12,1,17,12,11,1,12,1,17,1,12,1,17,5,12,1,17,5,12,1,17,1,11,1,9,1,13,1,8,1,7,1,13,1,30,1,7,1,8,1,24,1,17,3,12,2,17,1,12,2,8,1,6,1,28,3,30,1,28,10,14,3,16,1,17,1,11,1,9,1,24,1,8,1,6,2,9,1,16,1,9,1,8,1,16,1,12,1,17,1,12,1,13,1,28,5,29,1,17,1,11,1,13,1,6,1,29,2,28,20,}, {30,1,28,1,6,1,28,1,6,1,28,1,30,1,28,1,6,1,28,4,7,1,13,1,6,1,28,3,30,1,6,1,30,2,29,3,9,1,13,1,24,2,8,2,15,2,6,4,29,1,6,1,13,1,12,1,17,2,11,3,9,3,8,2,28,1,30,1,8,1,14,1,8,3,7,1,13,1,8,1,13,1,12,1,17,2,12,1,9,1,13,2,7,2,13,1,12,1,10,1,17,1,16,1,9,1,11,2,14,2,16,1,13,1,28,25,6,1,13,1,24,1,8,1,24,1,17,3,9,1,13,3,7,2,29,1,10,1,12,1,17,1,12,1,9,1,12,1,8,1,24,1,13,1,6,1,8,1,13,1,8,1,13,1,8,1,13,1,12,1,17,2,12,1,29,1,28,15,13,1,5,1098,28,5,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,5,6,1,13,1,7,1,13,2,6,1,13,3,7,1,13,1,6,1,7,1,13,1,7,1,6,1,29,1,13,1,29,1,7,1,29,1,6,1,7,3,8,1,9,1,7,1,13,1,7,1,8,1,11,1,6,1,24,1,8,1,9,1,17,1,8,1,9,1,17,4,16,1,12,2,17,4,7,1,29,2,30,1,29,1,30,4,28,1,29,1,13,1,8,1,24,3,13,1,24,1,8,1,6,1,12,1,17,2,12,1,28,1,13,1,10,1,8,1,29,1,30,1,28,9,29,1,30,1,26,1,28,1,25,1,29,2,27,1,8,3,24,2,8,1,12,1,24,1,12,2,10,1,9,2,12,1,11,1,12,1,17,1,11,1,17,1,12,1,17,8,11,1,6,1,28,1,8,1,13,1,28,3,6,1,28,1,13,1,9,2,13,1,11,1,16,1,11,2,16,1,9,1,6,1,28,30,30,1,28,9,6,1,28,3,9,1,11,1,13,1,30,1,9,1,6,3,28,13,13,2,11,1,16,1,17,1,16,1,17,3,11,2,13,1,8,1,6,1,13,2,8,1,29,1,13,5,8,2,9,2,8,2,9,1,8,1,16,1,11,1,10,1,11,2,16,1,17,1,16,1,17,1,11,1,17,4,12,1,10,1,12,1,9,1,8,1,9,1,10,1,24,2,8,1,24,1,7,1,13,1,6,4,29,1,6,1,29,2,28,1,30,1,28,1,30,1,28,94,6,1,28,3,6,1,30,1,28,1,6,1,28,1,30,2,6,1,29,1,30,2,7,1,30,1,6,2,13,3,7,2,13,1,7,2,8,1,13,1,7,1,13,1,29,1,6,4,13,1,8,1,7,1,13,1,7,5,6,2,13,1,7,1,6,1,13,1,9,2,17,7,11,1,8,1,24,1,8,1,7,1,29,1,28,46,30,1,29,1,7,1,13,1,24,2,10,1,11,2,12,1,11,3,9,1,11,2,17,1,11,1,12,1,17,1,12,1,17,1,12,1,17,7,12,1,9,1,12,1,9,2,24,1,7,1,25,1,6,1,25,1,27,1,25,1,29,1,28,2,30,1,28,12,29,2,6,3,8,1,24,2,12,1,17,3,12,1,17,3,12,1,17,1,12,1,9,1,17,1,12,2,9,2,17,15,10,1,17,1,11,1,17,1,12,2,17,2,12,1,17,1,11,1,12,1,9,1,10,1,12,1,11,1,12,1,9,2,8,2,11,1,9,1,10,1,8,2,10,2,17,1,9,4,11,1,12,2,13,1,8,1,24,1,12,1,9,1,24,1,8,1,6,1,29,1,30,1,29,2,30,2,29,1,28,1,30,1,28,1,29,1,30,1,29,2,30,2,29,1,28,4,29,1,28,1,29,1,28,1,30,1,28,1,30,2,29,1,30,1,29,3,30,1,29,1,28,2,30,1,6,1,30,1,13,2,11,1,10,1,17,1,12,1,10,1,9,2,24,1,9,3,10,1,8,1,13,2,8,1,13,1,8,1,9,4,24,1,12,1,8,1,24,1,8,1,24,1,9,2,8,2,9,1,13,2,9,1,8,1,10,1,8,1,9,1,13,2,6,1,7,2,8,1,7,1,6,2,29,1,7,1,6,2,7,1,13,2,8,1,24,3,13,2,8,3,10,1,9,1,8,2,13,1,8,1,13,1,24,1,7,1,13,1,6,1,13,1,8,1,24,1,13,1,8,3,24,1,8,5,24,1,8,1,9,5,11,3,16,2,11,1,10,1,11,2,16,1,17,1,16,2,10,1,11,2,16,1,10,1,9,3,16,1,11,1,17,3,16,1,17,32,12,1,17,2,11,1,12,1,17,12,11,1,17,4,11,1,17,3,12,2,17,5,12,1,17,4,12,1,11,3,10,1,11,1,9,1,12,1,11,1,10,1,11,1,12,1,10,1,11,1,10,2,17,1,11,1,9,1,17,1,10,2,12,1,9,1,11,1,12,1,9,1,10,1,11,1,9,1,10,2,12,1,11,1,9,1,11,2,12,1,9,1,11,1,9,1,10,1,9,1,10,1,12,2,9,2,10,1,9,1,10,2,9,1,8,1,10,1,17,1,12,1,17,2,12,1,17,7,12,1,17,1,11,1,17,2,12,1,10,1,12,1,17,3,12,3,17,2,10,1,17,10,11,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,3,12,1,11,1,17,1,12,1,11,1,12,1,17,2,10,1,12,1,8,1,12,2,17,1,12,1,17,2,9,1,12,2,10,1,9,1,8,2,24,2,10,2,12,1,9,1,12,1,17,6,12,1,17,30,9,2,29,1,13,1,6,2,9,3,12,1,11,1,17,1,12,1,17,1,11,1,12,1,8,1,7,1,28,13,30,1,14,2,17,1,16,1,11,1,9,4,13,1,29,1,8,2,9,1,12,1,16,2,17,1,9,2,28,5,6,1,17,2,6,1,28,1,29,1,30,1,28,20,}, {28,1,29,1,30,1,28,1,29,1,7,1,30,1,28,1,30,1,6,1,30,2,13,2,7,1,29,1,30,1,28,1,6,1,30,1,29,1,30,1,28,2,7,1,29,1,8,1,9,1,8,1,13,1,6,1,24,1,15,2,13,1,29,2,30,1,29,1,6,1,8,1,17,3,11,2,9,1,15,1,9,2,13,1,8,1,6,3,16,1,9,1,13,1,8,2,13,1,30,1,6,1,10,1,16,1,17,1,24,1,9,1,13,2,7,1,8,2,7,1,12,1,17,2,9,1,13,1,6,1,9,1,14,1,12,1,7,1,30,1,28,24,13,2,8,2,12,1,17,4,6,1,30,1,6,1,30,1,28,1,13,1,12,1,15,1,12,2,15,1,9,2,8,1,13,1,7,1,13,2,6,1,13,1,8,1,9,2,14,1,12,1,9,1,13,1,28,15,9,1,5,1098,28,6,30,1,28,5,29,1,28,4,30,1,28,2,7,1,13,1,8,1,13,1,6,1,8,1,7,1,8,1,9,1,7,1,13,1,6,1,7,1,29,1,6,1,28,1,7,1,6,2,7,4,6,1,8,1,10,1,7,1,24,1,6,1,29,1,13,1,9,1,13,1,24,1,9,1,7,1,24,2,8,1,9,1,17,8,11,1,17,2,13,1,6,1,29,2,6,1,29,1,28,2,30,2,8,1,24,1,8,1,24,1,8,1,10,1,24,1,8,1,6,1,28,6,30,1,13,1,29,1,28,12,29,4,25,2,8,2,24,1,8,1,24,1,12,2,9,3,12,1,11,2,10,2,12,2,17,2,11,1,17,3,16,1,17,3,6,1,28,2,30,1,9,1,6,1,28,3,30,1,13,1,9,2,6,1,13,3,9,2,13,2,28,31,6,1,28,9,6,2,30,1,28,1,13,1,11,1,9,1,13,2,8,1,13,2,29,1,28,1,6,1,28,1,6,1,30,1,7,1,30,2,28,3,6,1,9,1,16,2,11,1,17,2,16,1,17,2,11,2,12,1,7,1,8,1,29,1,13,1,8,1,6,1,8,2,13,1,24,1,13,1,8,1,9,1,8,2,11,1,9,1,8,1,9,2,11,1,9,1,10,1,17,7,12,1,11,1,12,2,10,1,24,1,8,2,24,1,8,1,13,1,8,3,13,1,6,1,29,1,6,1,30,1,6,1,30,1,13,1,28,2,29,1,28,94,30,2,28,1,29,1,28,2,29,1,30,1,28,4,30,1,7,1,29,1,7,1,13,2,6,1,30,1,7,1,6,1,13,2,8,1,13,1,8,1,9,1,13,1,7,1,13,3,6,4,13,4,6,1,13,2,28,1,13,2,7,2,8,1,6,1,7,1,9,1,10,2,17,6,9,1,10,2,8,2,13,1,6,1,30,2,28,46,30,2,8,1,24,2,12,1,10,1,11,1,12,1,11,1,12,1,11,1,17,1,12,2,17,1,12,4,17,1,12,1,17,1,12,1,10,1,17,4,12,1,11,1,12,2,24,1,9,1,8,1,6,1,7,1,26,1,29,2,27,1,30,1,29,1,28,2,30,1,28,8,30,2,28,1,29,1,30,1,7,1,24,1,8,1,9,1,24,1,17,1,10,1,17,2,11,1,12,1,17,2,10,1,17,1,9,1,10,1,9,1,10,1,17,1,11,1,17,19,12,2,17,1,12,1,10,1,11,1,17,1,11,1,17,1,9,2,10,1,11,1,17,1,9,2,10,1,9,2,24,1,9,1,10,2,12,1,10,3,12,1,10,1,12,1,9,2,17,1,8,1,12,1,10,1,9,1,13,1,7,1,8,1,29,1,7,1,29,3,30,1,28,1,29,1,6,1,29,1,28,1,30,1,28,1,30,2,28,2,30,3,29,1,28,3,30,1,29,1,28,1,30,2,28,2,30,2,29,1,30,1,28,1,30,1,29,1,30,2,29,3,13,2,9,1,17,1,12,1,17,2,10,1,9,4,12,1,8,1,13,1,9,1,8,1,24,3,9,2,8,1,9,3,13,1,9,1,8,1,9,1,8,1,13,1,24,1,13,2,8,1,24,1,8,1,9,1,8,2,6,1,30,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,29,1,25,1,13,1,8,1,24,2,13,1,8,1,24,1,9,1,13,1,24,1,13,1,8,1,13,1,9,3,7,1,24,1,13,1,8,1,13,1,8,3,6,1,13,1,24,1,8,2,7,1,8,1,24,1,13,3,8,1,13,1,8,4,9,1,10,1,11,1,13,1,11,1,16,1,11,1,16,1,9,1,16,1,11,1,16,6,11,2,9,1,11,6,16,1,17,28,16,1,17,4,16,2,11,1,12,1,17,1,16,2,12,1,11,1,12,1,17,16,11,1,17,7,11,1,17,2,12,1,11,2,17,1,11,1,17,1,10,1,17,1,11,1,12,1,17,1,11,2,17,1,10,1,17,2,10,1,11,3,12,2,10,1,9,2,10,2,11,1,9,1,11,2,10,1,8,1,10,1,9,1,11,1,9,1,8,1,10,1,24,1,9,1,10,1,11,1,10,1,9,1,11,2,10,1,24,1,11,1,9,1,10,1,9,2,10,1,9,2,11,1,12,1,17,5,12,1,17,3,12,1,17,1,11,1,17,2,12,1,17,1,12,1,17,3,12,2,17,3,12,1,11,1,17,3,12,1,17,1,11,1,17,3,12,1,17,1,12,2,17,7,12,1,17,7,12,1,17,11,12,1,17,3,24,1,12,1,10,1,8,1,24,3,10,1,9,1,10,2,11,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,17,12,2,17,5,12,1,11,1,17,1,10,1,9,1,11,1,8,1,6,1,7,1,6,1,7,1,13,1,8,1,11,1,10,1,17,1,12,1,17,1,12,2,13,1,7,1,28,13,30,1,11,1,14,1,17,1,16,1,9,1,11,1,12,1,10,1,13,3,8,2,9,1,11,2,16,1,12,1,11,1,8,1,28,5,6,1,17,1,8,1,6,1,29,1,30,1,29,1,30,1,28,19,}, {28,1,6,1,28,4,29,1,28,1,29,1,30,2,8,1,28,1,6,1,30,3,28,1,29,1,28,1,6,1,28,1,29,1,30,2,28,1,8,1,13,1,24,1,9,4,15,1,13,1,29,1,30,2,28,1,30,1,6,1,17,4,9,1,10,1,13,1,24,1,9,1,8,1,13,1,6,1,28,1,13,1,11,2,13,1,8,1,24,2,6,1,24,1,9,1,16,1,17,1,16,1,13,2,6,1,13,1,8,1,24,1,13,1,17,1,14,1,16,1,10,1,13,1,8,1,13,1,15,1,12,1,30,1,29,1,28,24,6,1,7,1,8,3,17,1,10,1,17,1,8,1,6,1,29,2,6,1,30,1,13,1,10,1,14,1,15,2,10,1,14,1,12,1,9,1,8,1,13,3,6,1,13,1,7,1,10,1,9,1,15,2,8,1,6,1,28,4,29,1,30,1,28,9,13,1,5,1097,28,16,30,1,28,3,7,1,6,2,8,1,7,1,13,3,9,1,7,1,8,1,13,1,8,1,29,1,6,6,13,1,6,1,30,1,7,2,13,1,8,1,13,2,7,1,13,1,6,1,9,1,8,2,13,1,8,1,13,1,24,1,8,1,9,1,17,9,9,1,11,1,17,1,7,1,28,1,29,1,30,1,28,1,30,1,28,3,30,1,25,1,8,1,24,2,8,1,24,1,9,1,8,1,6,1,28,3,30,1,28,16,29,1,30,1,27,1,26,1,25,1,27,1,25,1,24,3,12,1,24,2,10,1,9,1,10,1,9,1,11,1,10,1,9,1,10,2,17,1,12,1,17,7,8,1,30,1,28,4,17,1,13,1,30,1,28,1,30,1,28,1,13,1,9,1,6,1,28,2,13,1,9,1,13,1,9,1,13,2,28,41,6,1,30,1,6,1,30,2,9,2,11,1,8,1,11,1,9,3,30,2,6,1,13,3,7,1,13,1,30,1,6,2,9,1,16,1,17,1,16,1,17,6,11,1,12,1,17,1,10,1,8,1,7,1,13,1,8,1,9,1,8,1,13,2,24,1,13,1,10,1,9,2,11,1,9,2,10,1,9,2,17,1,11,1,16,1,17,6,12,1,17,1,12,2,10,1,9,1,10,1,24,1,8,2,13,2,7,1,29,2,6,1,29,1,6,1,29,1,28,2,6,1,28,4,30,1,28,93,30,1,28,5,29,1,28,2,30,5,7,1,13,2,28,1,30,1,29,1,13,4,8,1,9,1,8,3,13,2,6,1,7,1,13,1,6,1,13,3,7,1,13,3,6,1,7,3,13,1,6,1,29,1,13,1,8,1,9,1,11,1,10,1,17,4,10,1,9,1,12,1,10,1,9,1,24,1,8,1,13,1,29,1,30,3,28,44,30,1,28,1,29,2,8,1,29,1,8,1,10,1,24,1,12,1,9,1,10,1,12,3,10,1,12,1,11,1,10,1,17,2,9,1,24,1,12,1,9,1,17,2,9,1,12,1,17,3,12,1,11,2,10,2,24,1,6,1,8,1,7,1,25,2,27,1,26,1,29,1,26,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,27,1,29,1,27,1,7,1,6,1,13,1,6,1,9,1,8,1,12,1,24,1,17,7,10,1,17,2,12,1,11,1,12,1,11,1,10,1,12,1,17,20,12,1,9,1,17,1,11,1,17,1,10,1,17,2,9,1,12,1,9,1,12,1,17,1,9,1,8,1,17,1,24,1,10,2,9,2,10,1,9,1,24,1,8,1,12,1,13,1,24,1,9,1,24,1,10,1,11,1,9,1,17,1,24,1,12,1,10,1,13,1,8,1,7,2,6,1,29,1,28,1,30,1,29,1,28,1,29,1,28,1,30,3,6,1,28,2,30,1,28,5,6,1,30,1,28,3,30,1,28,3,30,2,29,1,28,1,6,1,30,2,28,1,30,3,6,1,13,1,6,1,7,1,8,1,17,1,12,1,17,2,24,1,10,1,9,4,8,1,24,1,8,1,9,1,24,1,9,1,13,1,9,2,24,1,9,5,8,1,13,2,8,1,13,2,6,1,8,3,9,2,11,1,13,1,8,1,13,2,7,4,8,1,30,1,6,1,29,1,6,1,24,1,8,2,7,1,8,1,10,1,24,1,9,2,12,1,10,1,9,1,24,1,8,1,9,1,13,1,24,1,13,1,8,1,13,1,8,2,13,1,8,1,7,1,8,2,7,1,13,2,8,1,7,1,8,2,24,1,13,2,9,1,24,1,13,1,11,1,9,1,11,1,9,1,8,1,9,1,11,1,10,1,11,1,17,1,16,1,11,2,16,4,10,1,11,1,10,1,9,1,16,1,9,1,16,1,11,2,17,2,16,2,17,23,16,1,17,10,11,1,17,1,11,1,17,4,11,1,12,1,17,13,12,1,17,8,11,1,17,8,11,2,10,1,17,2,12,1,9,1,10,1,17,1,11,1,12,3,10,1,12,1,10,1,12,1,10,1,11,1,17,1,12,1,9,1,12,1,10,1,9,1,10,1,9,1,11,1,9,2,24,1,10,1,9,1,11,1,9,1,11,1,9,1,10,2,9,1,11,1,12,1,10,2,9,2,10,1,11,1,9,1,10,1,11,1,9,2,11,1,9,1,8,1,10,2,24,3,10,1,17,3,12,1,17,1,12,1,17,1,12,1,17,11,9,1,12,1,17,4,12,2,17,5,12,1,17,2,12,1,17,1,9,1,17,1,12,2,17,22,12,3,24,1,10,1,12,1,8,1,9,1,10,1,8,1,24,1,8,1,24,1,12,1,11,1,12,1,17,28,12,1,17,1,10,1,9,1,10,1,9,1,8,1,6,1,13,1,6,1,13,2,10,2,17,3,12,1,10,1,9,1,13,1,28,14,14,2,17,1,16,1,12,1,9,1,12,1,10,1,13,3,24,1,13,1,9,1,10,1,16,1,12,2,17,1,6,1,28,5,6,1,17,1,24,1,13,1,7,1,6,1,29,1,30,1,29,1,28,18,}, {28,1,7,1,28,1,30,1,28,1,30,1,28,1,30,1,13,1,6,1,13,1,6,1,28,1,29,1,6,1,29,1,6,1,28,1,30,1,28,1,29,1,28,1,6,1,28,1,29,1,6,1,13,1,9,1,13,1,8,1,13,1,10,3,8,1,29,1,30,1,6,2,29,1,30,1,24,1,17,2,9,1,10,1,9,1,11,2,8,1,10,1,7,1,6,2,10,1,11,1,24,1,9,1,8,1,24,1,13,1,6,1,7,1,10,1,11,1,12,1,10,1,8,1,7,1,8,2,7,1,13,1,7,1,14,2,17,1,9,1,8,2,24,1,15,1,14,1,6,1,28,26,7,1,6,1,13,1,7,1,9,1,12,1,11,1,10,1,30,1,7,1,29,1,30,1,6,1,30,1,9,1,12,1,15,1,14,1,12,1,8,1,13,1,6,1,7,1,13,3,6,2,9,1,24,2,12,1,15,1,8,1,6,1,28,3,30,1,6,1,30,1,28,9,13,1,5,1096,13,1,28,12,30,3,29,1,28,3,6,1,13,1,6,2,9,1,13,1,8,3,6,1,13,1,6,1,8,1,7,1,13,1,6,2,30,1,6,3,30,1,8,1,13,3,8,1,24,1,7,1,13,1,7,2,29,1,8,1,9,1,24,1,13,1,24,1,13,1,24,1,9,1,10,1,12,1,17,6,12,1,17,1,12,1,13,1,10,1,12,1,8,1,6,2,29,1,28,1,29,1,28,3,6,2,13,1,8,1,24,1,8,1,7,1,8,1,24,1,6,1,13,1,29,1,30,1,29,1,28,13,30,2,27,2,26,1,29,1,26,1,25,2,24,3,8,1,10,1,8,1,9,2,12,1,17,1,11,1,12,1,9,1,12,2,11,1,17,1,12,1,17,3,10,1,8,1,28,5,30,1,6,1,17,1,30,3,28,2,13,1,9,1,30,1,28,1,6,2,13,1,9,1,6,2,28,41,30,1,6,1,28,1,6,2,28,1,13,1,11,2,9,3,13,1,8,1,9,1,8,1,13,1,9,1,13,6,9,1,11,1,16,1,17,3,16,1,17,5,12,1,17,1,10,2,9,1,10,1,24,1,9,1,13,1,9,2,24,1,9,1,24,1,9,3,12,1,11,1,8,1,17,1,11,1,17,1,16,1,17,2,11,1,17,1,11,1,12,1,17,3,12,1,10,1,8,1,10,1,13,1,7,1,8,2,6,2,29,2,6,1,29,1,28,1,30,1,28,7,6,1,28,96,6,1,30,1,29,1,6,1,30,1,28,1,7,1,30,1,28,2,30,1,29,2,6,1,8,1,28,1,6,1,13,1,29,1,13,1,8,2,13,2,7,1,13,1,9,1,13,2,6,1,13,1,7,2,13,1,7,1,13,1,6,1,7,1,13,3,6,1,9,2,13,1,9,1,11,2,10,1,11,1,17,1,11,1,17,4,24,1,17,1,11,1,9,1,10,1,8,2,7,1,29,1,30,1,28,48,30,1,27,1,26,1,6,1,13,1,10,1,8,1,12,1,10,3,12,1,9,1,12,2,11,1,10,1,12,1,24,1,10,1,12,2,17,1,24,1,17,3,11,1,17,1,9,1,12,1,17,1,10,1,9,1,10,1,8,2,25,1,7,1,26,1,6,1,27,2,30,1,29,2,28,1,29,1,28,2,27,1,30,1,6,1,29,1,25,1,30,1,25,1,6,2,8,1,24,2,8,1,10,1,12,1,17,1,11,1,17,1,10,1,12,1,9,2,11,2,9,1,12,3,10,1,12,2,17,16,10,1,17,2,12,1,17,1,12,1,17,1,12,1,17,1,10,1,17,4,12,1,10,3,13,1,11,1,10,1,8,1,17,1,10,1,12,1,10,1,9,1,10,1,9,1,17,1,9,2,11,1,9,3,24,1,12,1,24,3,10,1,6,1,13,1,7,2,29,3,30,2,29,1,28,2,6,1,28,1,29,1,30,1,29,1,28,4,29,1,28,4,30,3,28,2,30,1,28,2,30,2,29,1,30,1,6,1,28,1,6,1,28,2,30,1,13,1,7,1,8,2,9,1,17,4,9,3,13,1,10,1,9,1,13,2,9,2,24,1,9,1,8,3,9,1,8,3,13,1,8,3,13,1,8,1,29,1,6,1,8,1,9,1,8,1,9,1,8,1,9,2,6,1,13,3,6,1,13,1,6,2,25,1,7,1,25,1,6,1,24,2,13,1,24,1,8,1,10,1,8,2,13,1,9,1,13,1,8,1,13,4,8,1,6,1,13,2,8,1,13,3,24,1,8,1,13,2,7,1,13,2,7,4,24,2,8,1,13,1,8,1,9,1,11,1,9,1,10,1,17,1,9,1,16,1,10,1,9,1,17,1,9,1,11,1,16,4,11,1,9,1,11,1,9,1,11,4,16,1,9,1,16,2,17,33,16,1,17,1,11,1,17,1,11,1,16,1,17,6,11,1,17,3,12,1,17,6,11,1,12,1,17,3,12,1,17,2,16,1,11,1,9,1,17,8,11,2,17,4,12,2,17,1,11,1,12,1,11,1,17,1,11,1,12,2,11,4,10,1,12,1,11,2,8,1,10,1,17,1,9,1,12,1,9,1,10,1,11,2,10,1,11,1,10,2,11,1,9,2,12,1,11,1,8,1,9,2,10,2,12,1,9,1,11,1,10,1,11,1,9,1,10,4,12,1,11,1,10,1,24,1,10,1,24,1,9,1,10,1,9,1,10,2,9,1,10,1,17,8,12,1,17,3,12,1,17,9,12,1,17,2,12,1,17,1,12,1,17,4,12,1,17,2,12,2,17,18,12,1,11,1,12,1,17,1,12,2,17,2,9,2,10,2,13,1,8,1,10,2,9,2,11,1,10,1,17,17,12,1,17,2,12,1,17,4,12,1,10,1,12,1,11,2,17,1,10,1,13,1,6,2,13,1,7,1,9,1,24,1,17,2,12,1,17,1,11,1,10,1,13,1,28,14,14,2,17,1,12,1,16,1,9,1,10,1,9,1,24,1,13,1,7,1,9,1,24,1,9,1,11,1,16,2,10,2,6,1,28,5,8,1,17,1,12,1,13,1,6,1,29,1,6,1,28,20,}, {30,1,28,1,30,1,28,3,29,1,6,1,7,1,29,1,13,1,6,1,7,1,30,3,29,1,28,2,29,1,6,1,30,2,28,1,6,1,7,2,8,1,13,1,10,1,13,1,9,1,14,1,15,1,8,1,6,1,7,1,6,1,30,2,6,1,10,1,17,2,12,1,9,1,11,1,24,1,9,1,10,1,13,1,6,3,9,1,16,1,9,1,8,1,24,1,13,2,8,1,6,1,8,1,15,1,10,1,9,1,10,1,8,1,28,1,24,1,13,1,24,2,9,1,17,1,12,1,10,1,8,1,13,2,8,1,14,1,8,1,28,26,6,1,13,2,8,1,24,1,12,1,8,1,13,1,6,1,29,1,30,3,6,1,8,1,12,1,14,1,15,2,13,1,24,1,7,2,29,1,6,1,28,1,29,2,13,1,8,1,24,1,8,1,12,1,24,1,30,1,28,4,13,1,30,1,29,1,28,8,9,1,5,234,33,14,5,848,28,17,7,1,6,1,28,1,13,1,7,1,8,1,13,1,8,1,13,1,8,1,9,1,13,2,7,1,6,2,29,1,6,1,30,1,28,1,7,3,13,1,28,1,7,5,8,2,13,1,6,1,13,1,30,1,29,1,9,1,12,1,13,1,10,1,13,1,8,2,9,1,12,1,17,7,12,1,9,1,13,1,10,1,17,2,8,1,30,1,28,4,30,1,6,1,8,1,7,1,13,4,7,1,13,1,8,3,28,1,30,1,28,3,30,1,28,10,30,1,29,2,26,1,27,1,25,2,8,1,25,1,24,2,12,1,24,1,10,1,12,1,9,1,12,1,11,3,12,2,10,1,11,1,17,5,24,1,28,4,30,1,28,2,30,2,17,1,13,2,30,1,28,1,30,1,13,2,28,2,6,1,13,3,6,1,30,2,28,43,9,1,13,1,28,1,13,1,11,6,10,1,9,5,11,1,9,4,17,1,16,1,17,10,11,1,17,2,12,1,17,1,10,4,13,1,10,4,8,1,10,1,9,1,17,2,12,1,17,11,12,1,17,1,10,3,13,1,8,2,6,1,7,3,30,1,29,1,30,1,6,1,28,1,6,1,30,1,28,1,30,1,28,5,30,1,28,90,30,1,28,4,30,1,13,1,30,4,13,1,29,1,30,3,6,1,7,1,6,2,13,1,6,1,10,1,9,1,8,2,9,1,10,1,11,1,13,1,9,1,8,3,13,3,8,1,7,1,8,1,13,4,9,1,13,1,9,1,8,1,9,1,8,1,17,1,11,2,17,1,11,1,10,1,17,2,12,1,11,1,9,1,11,1,17,1,9,2,8,2,6,1,8,1,30,1,28,50,30,2,25,1,8,1,10,1,9,1,10,2,11,1,10,2,17,2,24,2,17,1,8,1,12,2,24,2,12,1,9,1,17,1,12,2,17,2,12,1,17,1,12,1,17,1,9,1,12,1,24,1,13,1,8,1,7,1,25,1,6,1,29,1,25,1,27,1,29,1,25,2,29,1,25,2,6,1,29,2,6,2,8,2,13,1,24,2,8,1,24,1,10,1,12,2,24,1,17,1,12,1,11,1,17,3,12,1,11,1,12,1,10,1,24,1,12,1,11,1,17,19,11,1,17,3,9,1,17,1,10,1,11,1,10,1,17,1,12,1,17,1,9,1,17,1,9,1,12,1,9,1,12,1,9,1,10,2,9,1,24,1,10,2,11,1,9,1,8,2,9,1,10,1,9,1,10,2,9,1,8,1,10,1,24,1,12,1,8,2,7,1,13,1,7,1,29,1,28,1,30,1,29,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,5,30,1,28,2,30,2,28,2,6,1,28,2,30,1,28,1,6,1,28,1,30,2,29,1,28,2,29,2,6,1,13,1,6,2,8,1,24,1,8,1,17,7,12,1,9,5,8,1,9,1,13,1,9,2,24,1,9,1,8,1,9,1,13,1,8,1,24,1,8,1,7,1,28,1,30,1,13,1,24,1,9,1,8,1,24,1,8,1,10,1,13,1,8,3,13,1,6,1,7,1,13,1,29,1,6,1,25,2,29,1,10,1,8,1,7,1,13,1,8,2,10,1,13,1,9,4,8,1,13,1,7,1,13,1,8,1,6,1,13,1,24,1,8,4,13,4,7,1,6,2,8,1,13,1,6,1,24,1,7,1,8,2,24,1,11,1,9,5,11,1,16,1,9,1,11,1,16,2,11,1,16,1,11,1,16,2,11,1,16,2,9,1,11,4,16,4,11,1,17,32,16,1,17,1,16,1,17,4,9,1,17,2,11,1,17,15,12,1,17,2,11,1,10,1,17,7,11,1,17,1,11,1,17,1,12,1,17,1,11,1,17,2,12,1,17,2,11,1,17,3,11,2,17,3,11,2,9,2,12,1,11,1,10,1,12,1,11,1,10,2,12,1,9,1,17,1,10,3,9,1,12,1,10,2,11,1,10,1,11,1,12,1,9,1,12,1,9,2,8,1,11,1,10,1,9,4,10,2,9,1,10,1,9,1,11,2,10,1,12,1,9,1,12,1,11,1,9,1,10,3,9,2,8,1,9,2,8,1,10,2,17,5,10,1,17,3,10,1,17,2,12,1,17,1,12,1,17,1,12,2,17,6,12,1,17,17,11,1,17,14,12,1,11,1,9,1,8,2,13,2,24,1,13,1,24,1,8,1,10,1,12,2,17,10,12,1,17,5,12,2,17,6,10,1,12,2,8,1,9,1,8,1,7,1,13,1,6,1,7,2,8,1,11,1,12,1,17,2,11,1,10,1,13,1,30,1,28,12,30,1,14,2,17,2,12,2,24,1,9,1,13,1,8,1,24,1,8,1,24,1,13,1,9,2,10,1,12,1,17,1,30,1,28,5,8,1,17,1,9,1,6,1,29,1,30,1,28,1,30,1,28,19,}, {28,4,6,1,30,1,29,1,7,2,6,1,13,1,6,1,28,2,30,2,28,1,30,1,28,3,29,1,28,4,13,1,7,1,24,1,13,1,8,2,12,2,13,1,28,1,30,1,28,1,30,1,28,2,13,1,17,2,8,1,13,1,9,1,24,1,8,1,9,1,8,1,7,1,6,2,13,1,14,1,17,1,8,1,13,1,8,2,6,1,13,1,15,1,10,1,11,1,16,1,9,1,13,1,8,1,13,2,7,1,9,1,10,1,17,2,11,1,7,1,24,1,6,1,8,1,14,1,8,1,29,1,28,25,6,1,8,2,13,1,8,1,12,1,17,1,13,1,28,2,30,1,28,1,30,2,8,1,15,1,14,1,9,1,14,1,24,1,6,1,30,1,29,2,6,1,28,3,6,1,8,1,6,1,10,2,8,1,7,1,28,11,30,1,28,3,9,1,5,227,33,23,5,845,28,4,30,1,28,4,30,1,28,2,30,2,28,2,30,1,6,1,7,1,13,4,9,1,13,1,10,1,13,1,9,1,24,1,13,3,6,1,8,1,13,1,28,1,8,1,13,1,6,2,30,1,6,1,7,2,13,3,7,1,13,1,7,1,13,2,7,1,30,1,28,2,8,1,12,1,10,1,8,1,9,1,10,1,24,1,17,5,11,1,12,1,10,1,9,1,10,4,17,2,12,1,6,1,30,1,29,2,6,1,7,1,6,1,7,4,6,1,13,1,8,1,7,1,13,1,8,1,7,1,30,1,28,14,30,1,29,2,26,2,25,3,8,1,24,4,10,1,17,1,12,2,11,1,10,1,17,1,12,1,11,1,9,1,12,3,17,1,11,1,29,1,28,2,30,1,28,7,17,1,13,1,6,2,28,1,30,1,9,1,13,1,28,2,30,1,13,2,28,1,13,1,6,1,28,42,30,1,13,2,9,1,28,1,6,1,17,1,11,3,17,1,9,1,12,1,10,1,11,1,17,1,11,1,10,1,9,3,17,2,11,1,17,2,12,1,17,8,12,2,17,1,10,1,17,1,9,1,12,2,8,1,12,1,10,2,8,2,9,1,24,1,12,1,11,1,10,2,17,2,16,1,17,4,12,1,17,2,12,1,17,1,10,1,17,1,24,1,6,1,13,2,8,1,29,1,7,1,6,1,30,1,28,1,30,1,28,103,6,1,28,3,30,3,29,1,30,1,29,1,28,1,9,1,30,2,7,1,28,1,30,1,13,1,6,2,13,1,6,1,13,1,12,1,11,1,12,1,17,1,11,1,12,1,17,1,11,1,10,1,9,2,11,2,10,1,13,1,10,1,9,2,8,1,9,2,11,2,12,1,17,2,12,1,17,8,12,1,11,1,12,4,10,1,29,1,8,1,7,1,6,1,30,1,28,2,30,1,28,45,29,2,27,1,6,1,7,1,24,3,12,1,9,1,12,1,11,1,17,3,10,1,24,1,12,1,10,1,24,3,12,1,24,1,9,1,8,1,12,1,10,1,17,1,9,1,12,1,17,1,12,2,24,1,8,1,10,1,24,3,8,1,27,1,8,3,25,3,7,3,13,1,8,2,13,1,7,1,24,1,13,1,24,1,8,1,13,1,8,1,12,1,10,1,12,1,10,1,12,1,17,2,12,1,8,1,17,1,11,1,10,1,11,1,17,1,12,3,10,1,17,21,11,1,17,2,12,1,11,1,12,3,11,1,17,1,12,1,10,1,11,1,12,1,10,1,17,1,9,2,11,1,12,1,9,3,11,1,10,2,9,1,13,1,10,1,24,1,10,1,9,1,10,2,13,1,9,2,13,1,9,1,13,1,7,1,13,1,6,2,30,2,29,1,28,3,30,1,28,4,30,1,28,11,29,1,28,1,29,1,28,1,30,1,28,3,30,1,28,2,29,1,28,1,6,1,30,1,28,1,7,2,13,1,7,1,6,1,7,1,8,2,12,1,17,2,12,2,17,1,12,1,9,6,8,1,9,8,8,1,13,1,8,1,28,1,30,1,13,1,7,1,8,4,11,1,8,1,7,2,13,1,8,3,7,1,26,2,25,1,6,1,30,1,8,1,24,1,8,1,6,1,9,1,24,1,9,4,8,2,13,2,7,1,6,1,13,3,7,1,8,1,13,1,24,1,7,1,13,1,7,2,13,3,6,1,8,1,7,1,8,1,9,1,13,1,24,1,9,1,24,1,13,1,8,1,11,1,9,1,8,1,9,2,12,1,11,4,16,1,11,1,16,1,11,1,16,1,9,1,16,1,11,5,16,1,11,1,16,1,11,1,16,1,17,1,16,1,17,2,16,1,11,1,17,28,16,1,17,1,16,1,17,1,16,1,17,8,12,1,17,2,12,1,17,11,11,2,17,2,16,1,17,5,12,1,17,2,11,2,17,2,12,3,11,1,12,3,17,4,11,3,17,1,11,2,12,1,17,1,11,1,12,3,10,2,11,2,10,1,9,1,11,1,9,1,11,1,17,1,10,1,11,3,17,1,12,1,11,1,10,1,11,1,12,2,10,1,9,1,10,1,11,1,9,1,12,1,11,1,10,3,11,1,9,1,10,2,9,2,10,1,9,2,10,3,9,1,10,1,11,1,9,1,10,1,9,2,10,2,11,1,12,2,17,6,12,1,17,6,12,1,17,29,12,1,17,10,11,1,8,1,9,2,6,1,24,1,6,1,8,1,13,2,10,1,12,1,9,1,12,1,17,10,12,1,17,7,11,1,17,1,12,1,11,1,17,1,12,1,11,1,12,1,17,1,8,1,13,1,7,1,13,1,7,2,13,2,10,2,12,2,11,1,8,1,7,1,28,12,6,1,14,2,17,2,16,1,10,1,7,1,9,1,12,1,6,1,24,1,8,2,13,1,8,1,9,1,16,1,10,1,17,1,7,1,28,5,13,1,17,1,8,1,13,1,30,1,29,1,30,2,28,19,}, {28,2,29,1,28,1,30,1,28,1,29,1,6,1,24,1,6,1,30,1,28,3,30,2,28,2,6,1,28,1,30,1,28,1,29,1,6,1,30,1,29,1,13,1,8,1,13,1,8,2,24,1,13,1,24,1,13,1,6,1,28,1,30,1,6,1,28,1,30,1,9,1,17,2,11,1,13,1,8,1,9,1,24,1,10,1,8,3,13,1,10,1,17,1,14,1,9,1,13,1,8,1,13,2,6,1,13,1,10,1,14,1,11,1,9,1,10,1,8,1,13,1,6,2,13,1,10,1,17,2,9,1,13,1,7,1,8,2,14,1,8,1,30,1,28,25,6,1,13,1,7,1,8,1,24,1,11,1,12,1,13,1,6,1,28,2,30,1,28,1,30,1,8,1,10,1,14,1,12,2,8,1,13,1,6,3,28,5,13,1,6,1,13,1,9,1,24,1,6,1,30,1,28,14,13,1,5,219,33,33,5,843,28,7,6,1,28,5,30,1,28,2,30,3,13,3,8,1,13,1,8,1,13,1,8,2,13,1,24,1,7,1,29,1,8,1,6,1,30,1,7,1,29,1,7,2,13,1,30,1,7,1,29,1,13,1,6,1,7,1,6,1,13,2,24,1,13,1,29,1,30,3,28,2,8,1,12,1,11,1,9,1,12,1,17,1,12,1,10,1,8,2,13,3,8,1,11,1,10,1,17,1,9,1,8,1,11,1,12,2,17,1,8,1,6,2,7,5,30,1,28,1,8,1,6,1,8,1,25,2,7,2,29,1,28,13,30,1,27,1,29,1,27,1,25,3,8,1,24,3,8,1,10,1,12,1,9,2,12,1,17,1,12,5,17,4,8,1,29,1,30,1,28,5,30,1,28,4,12,1,9,1,6,1,28,2,30,1,13,1,9,1,30,1,28,1,6,2,30,1,6,1,13,2,28,42,13,3,9,1,28,1,6,1,9,1,11,1,9,1,12,1,11,1,17,1,11,1,17,2,12,1,16,1,11,1,16,1,12,1,17,1,11,1,17,1,16,1,17,11,12,2,17,1,9,1,12,1,11,1,12,2,10,1,8,3,9,1,10,1,8,1,9,1,10,1,11,1,17,1,10,1,17,11,12,1,24,1,9,1,13,1,7,2,29,1,13,1,30,1,28,2,30,1,28,1,30,1,28,3,6,1,28,104,7,1,30,1,29,1,30,1,28,1,29,2,6,2,13,1,30,1,6,2,7,1,8,1,13,1,17,1,11,1,12,1,17,8,12,1,17,4,9,1,17,1,11,1,17,5,11,1,17,12,9,1,10,2,17,1,24,2,9,1,6,1,8,1,7,1,6,1,28,48,30,1,29,2,26,1,29,1,6,2,10,1,12,1,11,1,10,1,12,2,17,1,10,1,11,1,12,1,8,1,24,1,8,1,13,1,24,2,9,1,24,1,12,1,24,1,10,1,9,1,10,1,9,1,12,1,17,2,24,1,12,1,24,4,7,1,25,2,8,3,25,1,24,1,8,1,24,2,13,1,8,2,13,1,24,1,8,1,13,2,24,3,12,3,10,1,12,1,17,1,10,1,17,1,10,1,17,1,12,1,10,2,9,1,12,2,10,1,9,1,17,25,12,2,17,1,11,1,17,1,10,1,12,2,17,1,11,2,17,1,12,1,11,1,12,1,9,3,24,2,9,1,11,1,24,2,8,1,11,1,8,2,11,1,12,1,8,1,9,1,24,1,9,1,8,1,24,2,8,1,13,1,8,1,30,2,6,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,2,28,3,30,2,6,1,28,1,29,1,30,3,6,1,30,2,28,1,30,1,28,1,29,1,30,1,28,1,30,1,6,2,7,1,6,2,13,1,8,1,6,1,29,1,30,1,13,1,17,4,12,1,17,2,12,1,9,5,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,10,1,6,1,28,1,30,1,29,1,6,1,29,1,7,1,13,2,8,2,9,1,13,1,7,1,13,3,30,2,27,1,26,1,6,1,29,1,25,1,9,1,13,1,8,3,13,1,24,1,8,2,10,1,8,1,9,1,8,1,6,1,7,3,8,1,6,1,7,1,13,2,9,1,8,3,6,1,7,1,6,1,8,1,7,1,8,1,6,1,24,1,7,1,8,3,24,1,10,1,8,1,9,1,10,1,9,2,10,1,9,2,16,1,17,1,11,1,17,1,16,1,17,1,11,1,16,1,11,1,16,1,9,1,16,1,11,2,16,1,11,2,9,1,11,2,17,2,11,1,17,1,11,1,17,19,16,1,17,2,11,1,17,2,16,1,17,9,12,1,17,4,11,1,17,1,11,1,12,1,17,7,11,2,17,3,12,1,17,1,11,1,17,5,12,1,17,1,10,1,12,1,17,4,11,2,17,2,11,1,12,1,17,3,12,1,17,1,11,1,17,4,12,1,11,2,12,4,9,1,12,2,11,1,12,1,17,1,11,1,12,3,17,1,11,2,17,1,11,2,12,1,11,2,12,1,11,1,10,1,12,2,9,1,12,1,11,2,12,1,11,1,10,1,9,1,11,2,9,1,10,3,24,1,11,1,9,1,10,1,24,1,9,1,12,1,9,1,24,1,10,1,9,1,24,2,8,1,9,2,10,2,9,1,24,1,10,2,9,1,10,1,12,1,17,2,11,1,17,6,12,1,10,1,17,10,12,1,17,15,12,1,17,1,12,1,17,9,12,2,11,1,24,1,13,1,24,1,13,2,7,1,8,1,13,1,10,1,8,1,17,12,11,1,17,4,12,1,17,1,12,1,17,2,11,1,17,1,10,1,12,1,9,2,8,1,7,6,24,1,11,1,12,1,11,1,12,1,9,1,6,1,28,12,30,1,14,1,17,3,12,1,9,2,8,2,13,1,6,1,24,1,8,2,9,2,17,1,12,1,17,1,6,1,28,5,13,1,17,1,12,1,6,2,30,2,28,20,}, {28,3,7,1,28,2,6,1,13,1,6,1,13,1,29,1,6,1,28,1,6,1,30,2,28,2,30,1,28,5,29,1,28,1,24,1,13,1,7,1,8,1,13,2,9,1,14,1,24,1,6,1,28,1,6,1,30,1,28,2,9,1,17,2,12,1,8,1,9,2,24,1,15,1,8,1,12,1,24,1,6,1,8,1,14,1,16,1,8,1,13,1,8,1,6,1,7,1,6,1,13,1,14,1,16,1,11,1,9,1,11,1,13,5,9,1,17,2,9,1,8,1,13,1,8,2,17,1,8,1,28,4,30,1,28,20,30,1,28,1,6,1,24,2,9,1,12,1,17,1,8,1,30,1,28,3,30,1,6,1,24,1,9,1,15,2,8,1,13,1,6,2,29,1,28,3,30,4,6,1,8,1,24,2,29,1,28,15,13,1,5,208,33,45,5,841,28,5,30,1,28,8,30,1,28,1,30,1,28,3,6,1,13,1,9,1,24,1,8,2,13,1,8,1,10,1,6,1,8,1,6,1,7,1,13,1,7,1,6,2,30,2,7,1,6,1,7,1,6,1,13,1,29,1,13,1,7,1,6,1,13,1,6,1,24,1,7,1,6,2,28,5,7,1,13,1,10,1,9,1,12,1,13,1,8,1,13,1,8,1,13,1,9,1,8,2,11,1,17,1,8,2,12,1,9,1,17,1,11,1,10,1,12,1,24,1,30,2,13,2,6,1,29,1,28,3,29,1,25,5,28,10,30,1,28,1,30,1,29,3,27,2,25,1,29,1,25,2,24,1,12,1,24,1,10,2,24,1,12,1,9,1,12,1,10,1,12,3,24,1,11,1,12,1,17,1,10,1,24,1,29,1,28,12,13,1,17,1,6,1,13,1,6,1,28,1,6,1,9,1,28,2,13,1,6,1,28,1,13,1,6,1,28,42,6,1,8,1,9,2,8,1,30,1,6,1,8,1,17,1,11,1,16,1,11,1,17,1,11,1,12,1,17,1,16,1,17,4,16,1,17,7,11,1,17,4,12,1,17,2,11,1,17,1,12,1,17,1,10,2,12,1,10,2,17,1,10,1,24,1,9,1,8,1,9,1,11,1,10,2,12,1,17,1,12,1,17,2,12,1,17,1,12,2,17,1,10,1,24,1,12,1,8,1,24,1,8,2,13,1,30,1,7,1,29,1,30,1,28,3,6,1,28,3,30,1,28,100,30,1,28,1,29,1,6,2,28,1,6,2,30,1,13,1,30,1,6,1,28,2,6,1,8,1,6,1,13,1,24,1,9,1,12,1,17,2,12,1,17,31,11,1,9,1,11,1,10,1,8,1,10,1,12,1,8,3,13,2,28,46,30,1,28,3,27,1,28,1,26,1,8,1,24,2,12,1,24,1,12,1,11,1,17,2,9,1,17,1,10,2,24,1,9,1,24,3,8,1,24,1,8,1,24,1,10,1,12,1,24,1,12,2,17,2,24,1,12,1,10,1,8,2,17,1,8,2,24,2,25,1,24,1,8,1,25,1,8,3,24,1,10,1,9,1,24,4,8,1,12,3,24,1,8,1,12,1,17,1,24,1,12,3,17,1,10,1,12,2,10,1,17,1,9,3,11,1,17,26,12,1,17,2,12,1,17,1,9,1,17,1,12,1,8,1,17,1,9,1,17,1,10,1,9,1,12,1,9,1,24,1,12,1,10,1,9,2,10,1,9,1,11,1,12,1,9,1,12,2,9,1,24,1,17,1,9,1,17,1,13,1,10,1,24,2,8,1,7,1,13,2,6,1,30,2,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,8,6,1,30,1,28,2,29,1,30,1,28,2,30,1,29,1,6,1,28,2,30,1,29,1,30,1,29,3,6,1,29,1,6,1,25,1,6,1,25,1,6,3,13,3,17,7,11,1,8,2,9,2,11,1,13,1,9,2,8,1,13,1,24,2,13,1,30,1,28,1,30,1,29,1,13,4,8,1,13,1,8,1,7,1,8,1,7,1,6,1,13,1,8,2,29,1,6,1,25,2,8,1,24,1,7,1,13,2,8,2,24,1,13,5,9,1,13,1,8,2,13,1,8,1,13,2,8,4,13,1,24,1,29,1,13,1,7,1,29,1,7,1,8,3,13,1,6,1,8,1,9,1,10,1,8,1,10,1,8,2,13,1,9,2,13,1,11,1,16,2,9,1,11,2,16,1,11,2,16,1,11,2,16,2,11,2,9,1,11,2,16,3,17,2,12,1,17,2,11,1,12,1,17,21,16,1,17,13,12,2,17,1,12,1,11,1,17,9,12,2,17,6,11,1,17,3,11,1,17,4,12,2,17,5,10,1,17,1,12,1,17,1,11,1,17,2,12,2,17,3,11,1,17,1,12,2,17,1,12,4,9,1,12,3,11,2,12,2,17,2,12,1,17,1,12,4,11,2,17,1,11,1,12,1,10,1,17,1,11,3,12,1,11,1,12,1,10,1,11,1,10,1,9,1,10,1,11,1,9,1,10,2,9,1,11,2,10,3,9,1,24,1,10,1,9,1,10,2,24,1,11,1,9,1,10,1,9,1,24,1,9,1,24,1,12,1,8,1,12,1,9,1,10,1,8,1,9,1,24,1,12,1,17,46,11,1,10,1,8,1,7,1,13,1,7,1,13,1,6,3,7,1,12,1,10,1,12,1,17,2,12,2,17,2,12,1,17,12,12,2,17,1,10,1,11,1,10,1,8,1,13,1,7,2,6,1,29,1,8,2,12,1,10,1,11,1,13,1,6,1,28,12,13,1,14,1,17,2,11,1,17,1,9,3,24,1,6,1,13,4,11,1,12,4,30,1,28,5,8,1,17,1,9,1,8,1,6,2,30,1,28,20,}, {28,4,6,1,29,2,6,1,29,2,7,1,28,3,29,1,6,1,28,1,6,1,28,2,30,1,29,1,28,1,30,1,6,1,30,1,8,1,7,2,13,1,8,2,14,1,10,1,8,1,30,1,6,1,29,1,6,1,28,1,30,1,13,1,17,2,10,1,13,1,9,1,24,1,9,1,8,1,9,3,7,1,8,1,14,1,9,2,13,2,6,2,28,1,13,1,14,2,17,1,12,1,9,1,6,1,7,1,6,1,13,2,9,1,17,2,11,1,6,1,13,1,8,2,17,1,9,1,28,2,29,1,28,25,13,1,6,1,8,1,11,1,17,1,13,1,30,1,28,1,30,1,28,1,30,2,13,1,24,1,15,1,10,1,8,1,13,2,6,1,29,1,28,4,30,1,29,1,6,1,30,1,8,1,13,1,24,1,6,1,30,1,28,1,30,1,28,12,13,1,5,201,33,54,5,838,13,1,28,2,29,1,28,3,30,1,28,10,30,2,28,1,7,1,13,1,6,1,8,1,13,1,8,2,24,1,8,1,13,2,7,1,8,1,6,1,30,1,13,1,24,1,6,1,7,1,29,1,7,2,13,1,6,1,7,1,13,1,6,1,13,1,29,1,7,3,30,1,29,1,28,2,30,1,28,3,30,1,6,1,7,2,13,2,7,1,8,1,13,2,8,1,7,1,13,1,9,1,17,1,9,1,12,2,11,1,12,3,17,1,9,1,13,1,30,1,29,1,13,2,28,4,29,1,25,1,27,1,8,1,27,1,28,3,30,1,29,1,30,1,28,4,29,1,28,2,27,1,30,1,27,3,8,1,25,1,24,5,12,1,24,1,10,1,24,1,12,1,10,1,12,1,9,1,12,1,9,2,11,2,17,1,7,1,30,1,28,4,30,1,28,8,13,1,17,1,9,1,6,1,13,1,30,2,13,3,6,1,30,2,13,1,28,26,30,1,28,3,30,2,6,1,30,1,28,9,11,1,13,2,9,1,30,2,7,1,11,2,17,1,9,1,17,6,12,1,17,1,12,1,9,1,17,22,10,1,11,1,9,1,8,1,9,1,24,1,10,1,24,1,9,1,12,2,10,1,12,1,10,1,17,3,12,1,17,5,12,1,10,1,13,1,8,2,6,1,29,1,30,1,29,1,30,1,28,108,30,1,28,1,6,1,28,1,7,1,29,1,30,1,13,1,30,2,28,1,13,1,7,1,30,1,13,1,6,1,7,1,13,1,8,1,9,1,12,2,17,1,12,1,17,31,11,1,17,1,9,1,12,1,17,2,12,1,9,1,10,1,8,1,6,1,7,1,8,1,29,1,30,1,28,46,30,1,28,1,26,1,29,1,25,1,6,1,8,1,24,1,12,1,9,1,17,1,12,2,10,1,12,1,9,1,12,1,11,1,24,2,8,2,24,1,9,1,24,3,8,1,24,1,8,1,10,1,9,2,17,1,12,2,17,1,24,2,8,1,26,1,24,1,8,1,25,1,6,1,12,1,8,2,10,1,24,1,10,1,24,1,10,1,12,1,24,3,12,1,8,1,9,1,13,1,24,1,12,2,8,1,12,1,10,1,12,1,17,1,10,1,9,1,17,1,9,1,12,3,24,1,12,3,17,19,11,1,17,11,9,1,12,1,17,2,12,1,11,1,17,1,11,1,17,1,24,1,17,1,9,1,8,1,12,1,8,1,11,1,9,1,11,2,10,1,17,1,10,1,8,1,17,1,24,2,10,1,9,1,24,1,12,1,24,1,8,1,24,3,7,1,13,1,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,10,30,2,28,1,6,1,30,1,29,1,30,1,28,1,29,2,30,1,29,1,30,1,29,1,6,1,27,1,30,1,6,1,25,1,6,1,29,1,25,1,7,2,6,1,13,1,24,1,13,2,17,7,11,1,8,1,9,4,8,1,9,2,11,1,24,1,8,1,6,1,30,1,28,1,30,1,6,3,8,1,6,1,8,2,13,3,8,2,7,1,6,2,28,1,25,1,30,1,6,1,12,1,8,3,6,1,9,1,13,1,9,1,8,2,13,1,24,1,13,1,8,1,7,1,13,1,6,1,13,2,7,1,8,1,7,2,6,1,8,1,13,3,8,1,13,6,24,1,13,1,8,1,13,1,10,1,8,1,9,4,11,1,10,1,9,3,17,1,9,1,16,2,11,1,16,3,9,1,11,1,10,1,17,1,16,1,11,3,16,3,17,3,12,1,17,1,11,1,17,33,12,1,17,1,12,1,17,2,11,2,17,12,12,1,17,3,12,1,17,4,11,1,17,3,11,1,17,6,12,1,17,2,12,1,17,2,12,1,17,2,12,1,17,4,11,1,17,3,11,1,17,1,11,1,17,2,11,1,17,3,11,1,17,1,11,2,17,2,12,2,17,1,12,2,11,1,17,1,12,1,17,1,12,1,17,3,11,1,12,1,11,1,12,1,17,1,11,3,9,1,12,4,11,1,10,1,11,1,12,1,11,1,10,1,9,1,11,1,12,2,10,1,11,1,10,3,8,1,24,1,8,1,24,1,10,1,24,1,8,1,10,1,11,1,12,2,10,3,8,1,9,1,24,2,12,1,10,1,17,6,12,1,17,10,12,1,17,25,12,1,8,1,9,1,10,1,8,1,13,1,7,1,6,1,13,3,6,1,8,1,24,1,17,21,12,1,17,1,11,1,10,1,9,1,13,2,7,1,6,1,7,1,13,1,8,1,10,1,11,1,10,1,9,1,28,13,13,1,14,2,17,1,11,1,17,1,11,1,10,1,11,1,24,1,7,1,24,1,13,1,9,1,16,2,12,1,17,1,12,2,30,1,28,5,17,2,11,1,8,1,13,1,30,1,6,1,30,1,28,19,}, {29,1,28,1,30,1,28,3,30,1,29,1,28,5,13,1,6,1,30,1,6,2,30,1,29,1,28,1,30,1,28,2,29,1,6,2,7,1,8,1,24,1,7,1,13,1,9,1,12,1,8,1,6,1,30,1,28,2,30,1,28,1,8,1,17,2,11,1,13,1,8,1,9,1,10,1,9,1,15,1,8,2,6,1,29,1,17,1,12,1,13,1,7,2,13,1,6,1,7,1,13,1,15,1,14,1,16,1,11,1,10,1,13,1,8,2,6,1,8,1,9,1,17,3,29,1,8,1,24,1,8,1,17,1,10,1,7,1,28,1,6,1,30,1,28,17,30,1,28,4,30,1,28,1,13,1,30,1,8,1,11,1,17,1,8,1,29,2,6,1,28,1,30,1,28,1,8,1,24,1,9,1,15,1,8,2,13,1,29,2,28,5,30,2,13,2,24,1,13,1,7,1,28,15,6,1,5,185,33,72,5,835,6,1,28,3,30,2,28,8,30,1,28,3,30,4,13,2,8,1,13,3,8,1,9,1,8,2,6,1,7,1,29,1,6,1,13,1,6,1,7,1,13,1,29,1,7,1,13,1,30,1,13,1,30,1,13,1,7,1,29,2,13,1,7,1,6,2,7,1,29,2,28,3,29,1,28,1,6,4,13,3,9,1,13,3,6,1,8,1,11,1,12,1,10,1,11,1,12,2,11,1,12,1,17,1,11,1,17,1,11,1,24,1,13,1,24,1,17,1,6,1,28,3,30,1,29,1,8,1,26,1,25,1,6,1,13,1,10,1,8,1,7,2,6,1,29,2,30,1,29,1,25,1,30,1,25,1,30,1,25,2,26,1,8,2,24,1,8,1,24,3,12,1,24,1,12,1,24,1,9,2,12,1,10,2,17,1,10,2,24,1,7,1,30,2,28,12,8,1,6,1,30,1,9,1,13,3,6,1,13,4,6,1,30,1,13,1,28,26,30,1,28,14,30,1,9,1,13,2,9,1,8,1,28,2,13,1,16,1,17,2,12,1,16,1,17,2,12,2,17,1,12,1,11,1,17,3,12,1,17,16,12,1,17,5,12,1,10,1,12,1,17,1,12,1,10,2,12,3,10,1,17,1,12,4,17,2,12,2,11,1,12,1,24,3,29,1,7,1,30,2,29,1,28,111,30,1,6,7,30,1,13,1,8,1,13,2,7,1,13,1,9,2,11,1,17,3,12,1,17,7,12,1,17,22,12,1,11,1,12,2,17,1,24,1,10,1,17,1,8,3,7,1,6,1,29,1,30,1,28,1,29,1,28,33,30,1,28,7,30,1,28,1,29,3,30,1,28,1,29,1,25,1,8,1,24,1,8,2,12,1,10,1,17,1,9,1,12,1,9,1,12,1,24,1,10,1,12,1,17,1,10,1,8,1,24,1,13,1,24,1,10,1,24,4,10,1,12,1,17,1,12,1,10,1,17,1,24,1,9,1,24,2,8,1,24,2,8,1,24,2,6,1,24,1,8,1,24,1,10,1,24,1,12,1,10,1,11,1,17,1,9,2,10,1,12,2,9,1,10,3,17,1,10,1,24,1,9,1,10,1,11,1,9,1,10,1,9,1,10,1,12,1,10,1,17,31,12,1,17,4,12,1,17,1,12,1,17,2,12,1,17,1,10,1,12,1,11,1,10,2,12,1,8,1,12,1,11,1,10,1,17,1,24,1,11,1,10,2,13,1,10,3,24,1,7,1,10,1,8,1,13,1,6,1,8,1,13,2,6,2,7,1,6,2,30,1,29,2,28,1,30,1,28,14,29,1,6,1,30,1,28,1,6,1,28,1,27,1,25,1,29,2,6,1,27,1,24,1,25,3,29,1,24,1,13,1,29,1,6,1,13,2,7,1,13,1,7,1,29,1,7,1,13,1,17,4,12,1,10,1,9,4,13,1,9,1,8,1,24,1,9,1,13,1,30,1,29,3,30,1,26,1,28,1,25,1,6,2,7,1,8,2,7,1,8,1,29,1,6,1,30,3,27,1,25,2,24,1,9,1,13,3,24,2,8,1,24,1,13,2,8,2,7,1,13,2,28,1,8,1,6,1,7,1,6,1,7,1,6,1,13,2,8,1,28,1,8,1,7,1,8,1,13,1,8,1,7,1,6,1,13,1,9,1,13,1,9,2,8,1,13,1,11,1,10,1,12,1,9,3,12,1,9,1,11,1,9,1,11,1,17,2,16,4,11,1,16,1,11,1,16,1,17,1,16,5,11,1,17,1,16,1,17,4,12,1,11,1,17,1,12,1,17,34,12,1,17,2,12,1,17,9,12,1,17,1,11,1,17,10,11,1,17,2,12,1,17,4,11,1,17,4,11,1,17,3,11,1,12,1,17,8,9,1,17,1,11,1,17,1,11,1,17,5,12,2,17,1,11,1,12,1,17,1,12,1,17,5,11,1,17,1,12,1,17,9,12,1,11,1,17,1,11,1,10,1,11,2,10,1,11,2,17,1,12,2,11,1,12,1,10,3,11,1,9,3,10,1,9,1,10,1,9,1,11,1,10,1,8,1,10,1,9,1,8,1,12,1,10,1,9,3,10,1,24,1,9,4,17,21,12,1,17,20,12,1,17,1,12,1,10,1,24,1,8,1,7,1,6,3,30,1,7,1,29,1,13,1,12,1,17,1,12,1,17,12,12,1,17,1,10,1,17,1,11,1,17,2,12,1,11,1,9,3,13,1,7,3,8,1,13,1,12,2,13,1,28,13,13,1,14,1,17,4,12,1,17,1,24,1,10,1,8,1,30,1,8,2,9,1,12,1,16,1,17,3,30,1,28,5,16,2,9,1,8,1,6,2,13,1,30,1,28,19,}, {29,1,30,2,28,1,29,1,28,1,30,1,29,1,30,1,6,1,7,1,6,1,13,1,6,1,7,1,30,1,6,1,30,1,6,1,28,1,29,1,28,2,30,1,28,1,6,1,13,2,8,1,9,1,8,1,13,1,8,1,14,1,13,1,7,1,29,1,30,1,29,1,28,1,30,1,13,1,17,2,10,1,13,1,8,1,11,1,10,3,9,1,24,1,7,1,13,1,9,2,24,1,7,1,29,1,30,1,13,1,6,1,13,1,12,1,17,1,12,1,16,1,9,1,7,1,9,1,13,2,9,2,17,3,13,1,12,1,9,1,13,1,17,1,9,1,7,1,28,1,29,1,6,1,28,5,30,1,28,17,13,1,7,1,6,1,9,1,24,1,12,1,9,1,28,1,29,1,30,1,13,1,28,2,13,1,9,2,15,1,24,1,8,1,30,2,29,1,28,2,30,3,6,1,13,1,8,1,7,1,9,1,8,1,6,1,28,1,30,1,28,13,9,1,5,177,33,81,5,833,13,1,28,2,29,1,28,2,6,1,28,4,30,1,28,1,30,2,28,7,6,1,7,1,13,1,7,1,8,1,13,1,9,1,13,1,7,1,13,3,7,1,13,1,6,1,13,2,7,2,6,1,13,2,7,1,29,1,6,2,13,2,7,1,6,1,29,1,7,1,6,1,30,1,29,1,30,2,28,3,30,1,6,1,30,1,7,2,6,1,7,1,6,1,7,1,8,1,13,1,29,1,24,1,10,1,11,3,17,1,12,3,11,1,17,1,11,1,12,1,11,1,9,1,11,1,10,1,17,2,28,1,30,1,28,1,29,1,26,1,8,1,25,1,7,1,13,1,30,2,13,1,9,1,6,1,7,1,6,3,29,1,26,1,30,1,26,1,25,1,8,1,25,1,8,1,24,1,8,1,24,3,12,1,24,1,10,1,9,1,10,1,17,1,10,1,12,2,24,1,12,1,8,1,10,1,24,1,13,1,30,1,28,13,6,1,7,1,13,1,28,1,13,1,9,1,8,2,13,4,6,1,28,1,6,1,28,27,30,2,6,2,30,1,28,9,13,2,9,2,8,1,13,2,30,2,8,1,9,1,17,2,12,1,17,4,12,3,17,1,12,1,11,1,17,3,12,1,17,1,10,1,17,1,12,1,17,3,12,1,17,4,11,1,17,5,12,2,17,1,10,1,12,1,17,1,24,1,12,1,24,1,10,1,9,1,11,2,12,1,10,1,12,3,11,1,17,1,12,2,11,1,17,1,9,1,13,2,29,2,30,2,28,111,30,2,13,1,28,1,13,1,6,1,28,1,30,1,6,1,30,1,6,1,13,1,6,1,13,1,8,1,13,1,10,1,11,1,12,2,17,2,12,1,11,1,17,30,10,1,12,1,9,1,12,1,10,1,24,1,12,1,10,1,24,1,8,1,13,1,8,1,29,1,6,1,30,1,28,34,30,1,28,2,30,1,28,2,27,1,30,1,6,1,28,1,6,1,29,1,28,1,27,1,25,2,8,1,24,1,8,1,10,1,12,2,9,1,10,1,17,2,9,1,12,1,11,1,17,1,24,1,13,1,8,1,24,2,8,1,24,4,8,1,10,1,13,2,12,1,8,1,24,1,12,1,24,1,17,1,24,2,8,1,24,2,7,1,24,2,8,1,12,1,8,1,10,1,8,1,12,3,9,1,11,1,17,1,12,1,17,2,12,2,17,1,12,1,17,1,12,1,9,1,10,1,17,1,10,1,12,1,17,1,9,1,10,1,24,1,17,1,10,2,17,8,11,1,17,23,11,1,17,4,12,1,17,2,12,4,10,1,9,1,8,1,9,1,24,1,10,3,9,1,11,1,10,3,12,1,8,1,10,1,9,1,17,1,24,2,8,1,9,1,8,1,13,1,8,1,24,1,8,1,7,1,6,3,28,1,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,12,30,1,28,1,29,2,28,2,30,1,29,2,26,1,29,2,30,1,26,1,25,1,8,1,7,1,6,1,7,1,6,2,13,2,7,2,29,1,28,2,30,1,9,1,17,3,11,1,10,1,9,2,8,2,13,1,8,1,24,2,7,1,30,1,28,1,30,1,29,1,27,1,29,2,25,1,6,1,13,1,6,1,8,1,6,1,13,1,7,2,6,1,29,1,30,2,26,1,7,1,8,1,12,1,8,1,7,1,8,2,13,1,9,1,24,1,13,1,7,1,8,1,13,2,7,1,8,1,13,1,6,1,29,1,6,1,29,1,30,1,29,1,30,1,7,1,6,1,25,1,8,1,13,2,7,3,8,4,13,1,6,1,9,3,10,1,9,2,17,1,9,3,8,1,11,1,9,1,17,1,9,1,17,1,16,3,11,1,16,1,11,1,16,3,17,1,16,1,17,12,11,2,17,4,11,1,17,35,11,1,17,4,11,1,17,2,12,2,10,1,17,1,12,1,17,5,11,1,17,1,12,1,17,2,12,1,17,1,11,1,17,1,11,1,17,3,12,1,11,3,17,2,11,1,12,1,9,1,17,7,11,1,17,3,11,1,17,14,12,1,17,10,12,2,17,1,11,3,17,5,12,2,11,1,17,1,11,1,12,1,10,1,12,1,13,1,10,1,17,1,10,2,9,2,10,1,9,1,10,1,11,1,8,1,12,1,9,2,10,3,9,1,10,1,9,1,10,1,11,1,10,1,24,1,10,1,12,1,9,1,24,1,11,1,24,1,10,1,11,1,10,1,12,2,17,39,9,1,24,1,29,1,13,1,30,2,6,3,7,1,9,1,12,1,17,2,12,1,17,15,12,1,17,2,10,1,9,1,8,1,9,1,13,2,7,1,9,1,13,1,17,1,9,1,6,1,28,13,9,1,14,1,17,4,12,1,11,1,8,1,9,1,8,1,13,1,8,3,17,4,9,1,28,5,30,1,17,2,9,1,7,1,6,1,29,1,6,1,30,1,28,19,}, {7,1,30,1,28,1,30,2,28,1,30,1,6,2,29,1,6,1,13,1,9,1,6,2,7,1,6,1,29,1,6,1,30,2,28,5,24,1,13,2,8,1,13,1,6,1,24,1,14,1,9,1,29,1,6,2,30,1,28,2,7,1,17,2,16,1,9,1,13,1,9,1,10,1,9,1,12,1,6,1,29,2,13,1,8,1,9,1,13,1,6,1,7,1,6,1,29,1,6,1,24,1,17,1,14,1,17,1,10,1,13,3,9,1,8,2,12,1,17,2,12,1,10,1,9,1,8,1,24,1,17,1,9,1,13,1,30,1,29,1,28,10,29,1,28,3,30,1,28,1,6,1,28,7,6,2,7,1,8,1,15,1,12,1,13,1,6,1,30,1,6,1,28,1,30,1,28,1,6,1,9,3,8,1,13,1,6,1,29,1,30,1,28,1,30,1,28,2,6,1,29,1,6,1,13,1,8,4,28,15,9,1,5,175,33,84,5,832,28,3,30,2,6,1,28,10,30,1,28,1,30,1,29,1,6,1,29,1,24,1,13,1,7,1,8,1,13,2,9,1,13,1,8,1,13,2,24,1,13,1,7,1,13,3,29,1,13,1,6,1,13,1,7,4,28,1,7,1,6,1,30,1,6,1,29,1,13,1,7,1,30,1,28,2,30,1,28,2,30,1,29,1,30,1,13,1,30,1,6,1,13,2,24,1,13,1,8,1,6,1,13,1,9,1,12,1,11,1,12,1,11,1,12,1,17,1,11,2,17,3,11,1,12,1,10,1,11,2,10,1,17,1,8,1,28,1,30,1,29,1,30,1,25,1,26,1,13,1,6,1,28,1,30,1,13,1,24,2,9,1,24,1,6,2,29,1,7,1,6,1,7,1,8,1,24,1,8,1,24,1,8,1,24,2,10,1,24,2,17,1,10,2,9,1,10,1,12,2,24,1,9,2,12,2,24,1,30,1,28,14,13,1,28,3,9,1,13,6,9,2,6,2,28,29,6,1,30,1,28,2,30,1,13,1,30,1,13,1,30,2,13,1,9,1,13,2,9,1,11,1,8,1,6,2,30,1,9,1,13,1,9,1,17,2,11,1,16,1,9,1,11,1,12,5,17,1,12,1,17,4,11,1,17,4,12,1,17,3,11,1,17,4,12,1,17,5,24,1,17,3,10,1,17,1,10,2,12,2,11,1,17,1,24,1,12,1,9,1,17,3,12,1,10,1,12,1,24,1,12,1,13,2,6,2,28,110,30,1,28,3,30,1,6,1,30,1,28,1,6,1,30,3,13,1,6,2,13,1,8,3,9,1,10,1,17,1,10,1,17,3,12,1,17,5,11,1,17,1,11,1,17,20,11,1,10,2,12,2,10,1,12,1,24,1,12,1,8,2,24,1,6,1,7,1,28,1,30,1,28,25,30,1,28,3,30,2,28,3,29,1,30,1,27,1,28,2,6,1,30,2,29,1,6,2,30,1,25,1,6,1,26,1,8,2,24,2,17,2,9,2,12,1,10,2,11,1,12,1,8,1,17,1,8,1,12,1,17,1,12,1,24,1,10,1,24,1,8,1,12,1,13,1,10,1,24,2,12,1,8,1,9,1,24,1,9,1,24,1,12,1,24,1,12,1,10,2,24,1,8,4,24,1,8,1,24,2,10,2,12,1,10,1,17,1,12,1,17,2,12,1,17,2,11,1,9,1,12,2,24,1,17,1,10,1,24,1,9,1,24,2,12,1,8,1,10,1,11,1,24,1,17,15,12,1,17,17,12,1,17,3,12,1,17,2,9,1,10,1,11,1,17,1,9,1,8,1,17,1,9,1,10,2,9,2,10,1,9,1,10,1,9,1,12,1,10,1,12,1,13,1,17,1,8,1,9,1,24,3,8,1,13,2,7,1,8,1,6,1,24,1,30,1,8,1,30,1,6,1,7,2,6,1,30,1,29,2,30,1,28,12,29,1,30,1,6,1,28,1,29,1,28,1,29,1,28,1,30,4,8,1,6,1,25,1,7,1,13,1,6,1,7,1,29,1,7,1,6,1,13,2,29,1,7,1,30,1,28,3,7,1,12,1,17,3,9,2,10,1,9,2,11,1,8,1,13,1,30,1,29,2,30,1,29,2,26,1,29,1,26,1,25,1,7,1,13,2,6,1,13,1,6,1,8,1,28,1,30,2,28,1,27,1,25,1,8,1,24,1,6,1,8,1,13,3,8,1,13,1,8,1,7,1,13,1,7,1,13,1,29,1,13,2,29,1,30,1,28,3,30,1,29,1,7,1,24,1,8,1,6,1,25,1,6,1,7,1,8,1,13,2,29,1,13,1,8,1,13,2,8,1,12,1,10,1,12,1,11,1,9,1,11,1,9,1,17,1,9,1,11,1,9,2,16,2,11,2,16,1,17,1,16,3,11,1,16,2,17,1,16,1,17,3,16,1,17,2,9,1,11,1,17,2,11,1,17,1,12,1,17,2,11,1,17,2,12,1,17,30,12,1,11,1,17,1,11,1,17,3,12,1,17,8,12,1,17,4,12,1,17,9,12,1,17,3,12,1,17,1,12,1,17,4,12,1,17,4,11,1,17,5,11,1,17,7,11,1,17,1,12,1,11,1,17,15,12,1,17,1,12,1,17,2,12,1,17,4,12,1,17,3,12,1,17,2,12,2,11,1,12,1,9,1,10,2,11,1,12,1,11,1,10,1,12,1,9,1,10,4,17,1,10,1,12,1,11,1,10,1,11,1,9,1,17,1,10,1,24,1,10,1,11,1,10,1,9,2,12,1,9,1,11,1,9,1,24,1,11,1,9,1,11,1,17,42,10,1,9,1,7,1,29,1,6,3,30,1,13,1,12,3,17,5,11,1,17,1,12,1,11,1,17,1,12,3,17,1,12,1,17,1,11,1,10,2,12,1,11,1,9,1,7,2,13,1,7,1,6,1,9,1,17,1,7,1,28,13,13,1,14,1,17,3,11,1,10,1,17,1,24,1,8,1,13,1,8,3,9,1,11,1,17,3,11,1,28,6,17,1,16,1,12,1,8,1,7,1,29,3,28,19,}, {30,1,6,1,28,1,30,2,29,1,30,1,29,2,28,2,30,1,6,2,29,1,6,2,13,2,30,1,6,3,28,2,30,1,24,1,8,4,7,1,12,1,9,1,12,1,30,1,29,2,6,1,28,1,6,2,17,3,8,1,9,1,10,1,12,1,9,2,24,2,6,1,29,1,8,1,12,1,6,1,29,1,7,1,30,2,7,1,24,1,16,1,17,1,11,2,8,2,6,1,10,1,9,1,12,1,16,1,17,2,16,1,9,1,13,1,8,1,13,1,17,1,15,1,9,1,6,1,7,1,30,2,28,8,30,3,28,1,6,1,29,1,28,8,30,1,6,1,7,1,9,1,12,1,16,1,9,1,6,1,28,2,29,1,13,1,29,1,6,1,15,1,9,1,14,1,8,1,13,2,6,2,28,1,30,1,28,1,6,1,30,1,6,3,7,2,12,1,6,1,28,14,13,1,16,1,5,167,33,92,5,831,33,1,28,1,30,2,6,2,30,3,28,2,30,1,7,1,30,2,28,3,6,1,30,2,7,1,13,2,30,1,9,1,7,1,8,1,13,1,8,1,13,2,30,1,24,1,6,1,30,1,6,1,13,1,7,1,13,1,6,1,7,3,6,1,7,1,6,1,7,1,28,1,7,1,30,2,28,1,6,1,30,1,8,1,29,1,30,1,28,4,6,1,7,1,28,1,13,1,6,1,7,2,13,1,7,2,6,2,9,1,11,1,17,1,11,1,17,2,12,3,17,5,12,2,10,3,11,1,17,1,28,2,29,1,28,1,25,1,24,1,13,1,28,3,7,1,24,1,13,1,9,1,7,1,30,3,28,1,6,1,29,1,24,5,10,1,24,4,12,1,10,2,24,1,9,1,12,2,11,1,10,1,12,1,9,2,28,16,6,1,28,4,8,1,30,1,13,1,9,2,13,2,9,1,6,2,28,30,6,1,30,2,6,3,28,1,9,3,13,2,8,1,9,3,6,1,28,1,13,1,11,1,13,1,17,1,16,1,11,1,17,2,11,2,12,1,11,1,17,2,10,1,17,1,12,1,17,3,12,3,17,1,11,1,17,1,10,1,17,6,11,1,17,8,12,1,17,1,12,3,10,3,9,2,17,1,11,2,17,1,12,1,11,1,10,1,12,1,17,1,12,1,9,1,24,1,7,1,6,1,8,1,30,1,28,113,30,1,28,3,29,1,28,1,6,1,29,1,7,1,13,1,7,1,13,1,9,1,8,1,13,1,10,2,9,1,11,1,12,1,17,2,12,2,17,29,11,1,9,1,12,2,10,1,12,1,24,4,8,1,24,1,6,1,29,1,28,1,30,1,29,1,28,1,30,1,28,19,30,1,28,1,29,1,28,3,30,1,28,2,29,2,27,1,28,1,27,1,29,1,25,1,29,2,6,2,7,1,6,2,13,1,7,1,25,1,7,1,24,3,12,2,17,1,24,1,17,1,12,1,17,1,10,1,12,1,17,1,9,2,24,2,10,1,12,1,10,1,8,1,24,4,8,1,25,1,8,2,24,2,10,1,8,1,12,2,10,1,17,2,24,1,12,1,24,3,8,1,13,1,10,1,24,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,4,12,2,9,1,17,2,8,2,24,1,8,1,9,1,12,1,10,1,11,1,17,32,12,1,17,4,11,1,17,2,11,1,12,1,9,1,17,1,12,1,8,1,10,1,17,1,9,1,8,2,10,1,11,1,17,1,10,1,9,2,12,1,9,1,12,1,9,1,11,1,12,1,10,1,11,1,12,4,17,1,13,1,8,1,6,1,13,1,10,1,13,1,8,1,7,1,6,1,7,1,29,2,7,1,29,1,30,1,29,1,28,10,30,1,28,3,29,1,30,1,28,7,27,1,30,1,25,2,29,1,7,1,13,1,6,1,7,2,29,1,13,1,7,1,13,1,7,1,29,1,28,4,7,1,10,1,12,1,17,2,11,1,9,1,13,1,9,2,24,1,7,2,30,1,25,1,29,1,27,1,29,1,25,1,28,1,26,1,25,1,7,3,29,1,13,1,25,1,26,1,30,1,29,1,28,2,6,1,8,1,24,1,8,3,7,2,13,2,7,1,24,1,13,1,7,1,30,1,8,1,6,1,29,1,6,1,7,1,28,4,29,1,28,1,27,1,25,1,8,3,25,1,7,1,24,1,30,1,8,2,9,1,13,1,24,1,8,1,24,1,9,1,12,1,24,1,9,2,10,1,11,1,9,2,11,1,9,1,16,1,11,1,9,1,16,4,17,1,16,1,11,1,17,2,16,2,17,15,12,1,17,2,11,1,17,2,12,1,17,25,12,1,17,18,12,1,17,3,11,1,17,2,12,1,11,1,17,8,12,1,17,2,12,1,11,1,17,2,12,1,17,1,11,1,17,3,11,1,17,6,12,1,17,4,12,1,17,2,12,1,11,1,12,1,17,2,11,1,17,4,12,1,17,10,12,1,17,11,11,1,17,8,12,1,11,3,10,1,17,1,9,1,11,1,17,1,10,1,17,1,9,1,10,1,12,1,11,2,17,1,11,2,10,2,11,2,8,1,9,1,12,1,9,1,10,2,9,1,11,2,10,2,12,1,17,4,12,1,17,37,12,1,8,1,7,2,6,2,30,1,13,1,7,1,8,1,12,1,17,12,12,2,11,2,17,2,10,1,12,1,10,1,24,1,9,1,13,2,7,1,13,1,9,1,17,1,7,1,28,13,16,1,17,3,12,1,17,2,11,1,9,2,13,3,8,2,9,1,17,4,28,5,29,1,17,2,9,1,6,1,13,1,30,1,28,21,}, {28,3,6,1,28,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,13,1,28,1,30,1,28,1,29,1,28,2,29,2,28,1,6,1,29,1,30,1,29,1,13,1,6,1,8,1,12,1,24,1,13,1,30,1,29,1,28,3,7,1,17,3,9,1,13,1,8,1,10,1,12,1,9,1,8,1,6,1,13,1,6,1,13,1,16,1,13,1,6,1,29,2,6,2,13,1,16,1,17,2,9,4,8,1,10,1,11,1,16,1,17,3,9,2,13,1,9,1,16,1,11,1,13,1,7,1,6,1,29,1,28,10,30,1,29,1,7,1,13,1,28,1,6,1,28,5,30,1,28,1,30,1,6,1,8,1,13,1,10,1,9,2,6,1,30,1,29,1,6,1,28,2,13,1,9,1,15,2,8,1,13,1,6,1,24,1,30,1,6,1,30,1,28,4,30,1,7,1,6,1,24,1,9,1,13,1,28,14,6,1,11,1,5,157,33,102,5,830,33,1,28,1,6,2,28,1,13,1,7,1,28,3,30,1,28,1,29,1,30,1,28,5,30,1,28,1,6,1,30,1,13,3,10,1,6,1,8,2,13,1,8,1,13,1,6,1,8,1,7,2,6,3,13,2,6,2,8,1,13,1,6,1,13,1,6,1,30,1,29,1,30,3,6,1,30,1,9,1,28,5,13,1,6,1,13,1,6,1,13,1,6,1,29,1,13,1,6,3,13,1,9,1,12,2,17,2,12,1,17,3,12,1,17,5,12,2,9,1,8,1,9,1,11,1,17,1,7,1,28,1,30,1,6,4,28,1,6,1,9,1,10,1,24,2,13,1,28,5,6,1,7,1,24,1,12,1,24,1,12,1,24,1,8,2,24,1,10,1,24,2,9,1,10,1,12,4,9,1,10,1,12,1,13,1,29,1,28,15,30,1,6,1,28,6,6,1,9,2,10,1,9,2,6,1,30,1,28,29,30,1,6,2,13,2,30,1,13,2,11,1,9,3,11,1,9,1,11,2,9,1,6,1,30,1,13,1,11,1,9,1,17,3,12,1,17,1,9,1,12,1,9,1,12,2,10,1,12,1,9,1,17,1,10,2,9,1,12,1,11,1,17,1,11,1,12,1,17,1,12,1,17,5,12,1,17,12,11,1,17,1,12,1,17,1,24,1,11,1,8,1,9,1,11,2,9,1,12,3,10,1,11,1,10,1,9,1,8,1,7,1,6,1,30,2,28,113,29,1,28,1,13,2,6,2,7,1,13,2,7,1,8,1,13,1,8,1,13,1,8,1,9,2,11,1,12,2,17,7,11,1,17,24,11,1,12,1,11,1,12,1,17,1,9,1,10,1,24,1,10,1,9,1,8,1,26,1,27,1,29,1,30,1,28,1,29,1,28,14,29,1,28,7,30,1,28,1,30,1,28,2,29,1,28,1,6,1,30,3,29,1,26,1,27,1,6,1,29,2,7,1,30,1,28,1,13,1,6,1,7,1,6,1,24,1,8,1,24,1,13,1,12,2,17,3,12,1,10,1,17,1,24,1,10,1,12,1,11,1,12,1,9,1,10,1,12,3,8,1,12,2,8,1,24,7,8,1,10,1,24,1,12,3,17,2,24,1,12,2,7,1,8,1,13,2,24,3,10,1,17,1,11,1,17,3,12,1,17,2,10,1,17,1,11,1,10,1,17,1,12,1,8,1,24,2,12,1,8,1,9,1,24,1,12,2,17,4,16,1,17,10,12,1,17,23,12,1,17,2,10,1,17,1,9,1,11,2,9,2,11,1,9,2,17,1,9,1,17,1,12,1,11,1,24,1,9,2,11,1,24,1,10,1,9,1,17,1,9,1,17,1,9,1,10,2,8,1,24,1,9,2,24,1,13,1,8,3,13,1,29,1,7,1,6,1,30,1,29,1,30,1,28,1,30,1,28,11,29,1,28,9,29,1,30,2,28,1,29,2,30,1,6,1,13,1,29,1,7,1,6,1,7,1,13,2,6,1,28,1,30,1,28,2,30,1,6,1,12,1,17,2,9,1,11,1,9,2,10,1,24,1,13,1,25,1,29,1,30,1,29,2,30,1,29,1,27,1,26,1,27,1,25,1,7,2,13,1,8,1,7,1,30,1,28,3,30,1,8,1,7,1,8,1,9,1,8,3,13,1,8,1,7,1,13,1,7,1,6,1,7,2,29,2,8,1,7,1,6,1,30,1,28,4,30,1,29,1,26,1,27,1,8,1,26,1,8,1,7,1,13,1,6,1,8,2,24,1,8,2,13,1,24,1,9,2,11,2,9,1,10,1,17,1,9,1,11,2,9,1,11,1,9,1,16,2,11,1,16,2,17,11,16,1,17,1,16,1,17,13,12,1,11,2,17,26,11,2,17,2,16,1,17,2,12,1,11,1,17,1,11,1,17,3,12,1,17,6,12,1,17,3,11,1,17,3,12,1,17,3,11,1,17,1,12,1,17,6,11,1,17,5,11,1,12,1,17,8,12,1,17,4,11,1,12,1,17,1,11,1,17,2,11,1,12,3,17,4,11,1,17,11,12,1,17,8,12,1,17,1,12,1,17,1,11,1,12,1,17,1,9,1,12,2,17,1,12,1,17,2,11,2,12,1,17,2,10,1,12,1,11,2,17,1,11,1,10,1,17,1,10,1,11,2,12,1,10,2,9,1,10,2,9,1,10,2,11,1,9,1,10,1,12,1,11,1,12,1,11,1,9,1,11,1,17,37,9,1,8,1,6,1,7,1,30,1,28,1,7,1,29,1,8,1,10,1,17,1,12,1,17,5,12,2,17,2,12,1,17,7,12,1,9,3,6,1,7,1,13,1,9,1,17,1,6,1,28,13,9,1,17,4,12,1,11,2,9,1,8,3,13,1,9,1,8,1,11,1,17,1,16,1,17,2,28,5,7,1,17,2,24,1,13,1,6,1,30,1,13,1,28,20,}, {28,2,30,1,6,2,29,1,28,2,30,1,29,1,30,2,28,4,29,1,30,1,28,2,29,1,28,5,30,1,9,1,12,1,6,1,9,1,8,1,6,1,12,1,9,1,30,1,6,1,29,1,30,1,28,2,30,1,9,1,17,2,9,1,13,3,24,1,9,1,24,1,13,1,29,1,30,1,7,1,17,1,8,1,30,1,6,1,13,1,29,1,6,2,12,1,9,1,17,1,16,1,9,4,24,1,13,1,9,1,17,3,9,1,13,1,8,2,11,1,14,1,8,1,6,2,29,1,30,1,28,9,29,1,28,1,29,1,30,1,29,1,6,1,28,7,13,3,8,2,24,1,8,1,13,1,30,2,29,1,6,1,30,1,6,1,9,1,12,2,10,1,13,2,6,1,13,1,6,1,28,3,6,2,13,1,9,1,13,1,24,1,9,1,13,1,28,15,11,1,5,151,33,109,5,828,33,1,28,2,8,1,28,2,7,1,28,1,29,1,30,2,28,2,6,2,28,2,6,1,30,1,28,1,30,1,28,1,30,2,13,1,7,1,13,1,9,1,13,1,8,1,24,1,13,1,7,2,13,1,6,1,30,1,8,1,13,2,6,2,7,1,13,2,7,1,13,1,6,1,7,1,30,1,28,1,6,2,28,2,29,1,6,1,8,1,6,1,28,1,29,1,28,2,29,2,13,2,7,1,13,3,7,1,24,1,6,1,13,1,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,9,12,1,11,1,12,2,17,1,12,1,28,6,6,1,10,2,9,1,8,1,10,1,13,1,28,1,30,2,29,1,7,1,24,2,17,1,12,2,24,1,8,3,9,1,10,1,8,1,10,2,12,1,10,2,17,1,12,1,17,1,12,1,8,1,30,1,28,16,6,1,28,8,7,1,9,1,16,1,13,1,6,1,28,17,30,1,28,11,30,1,28,1,6,2,13,1,6,1,28,2,13,3,9,1,16,1,11,1,9,1,16,4,11,1,10,1,9,1,11,1,17,6,12,1,11,1,9,1,12,1,10,1,12,2,10,1,12,3,10,1,17,2,9,1,11,1,10,1,11,1,10,1,12,1,17,3,12,1,17,2,11,1,17,4,12,1,17,8,11,1,9,1,24,1,11,1,17,1,9,1,12,1,17,1,11,1,10,1,12,1,17,1,10,1,12,1,24,1,13,1,29,1,30,2,28,113,30,1,6,1,13,1,30,1,28,1,13,1,7,1,6,1,29,1,6,1,7,2,8,1,11,1,9,1,11,1,9,3,11,1,12,1,17,1,11,1,17,1,11,1,17,2,9,1,17,3,11,1,17,22,8,1,11,1,17,1,12,2,24,1,8,1,24,3,25,1,30,1,25,1,30,2,28,1,29,1,28,1,30,1,28,14,30,2,28,3,29,1,30,1,28,1,29,1,8,1,25,1,30,1,25,1,29,1,25,1,29,1,27,2,26,1,24,1,6,1,25,2,7,1,8,2,7,1,13,1,24,1,8,1,24,2,12,3,17,1,12,1,17,1,12,1,17,1,24,1,17,1,9,1,17,1,9,1,17,1,12,4,8,1,24,5,12,1,10,1,24,2,25,1,8,1,17,1,24,1,10,2,12,1,10,1,12,1,10,1,17,1,9,2,12,1,24,3,8,1,24,1,10,1,12,1,9,1,17,1,12,1,17,7,10,1,17,1,24,1,12,1,8,2,12,1,8,1,9,1,12,1,10,3,12,1,17,20,16,1,17,2,11,1,17,14,11,1,10,1,17,2,10,1,9,1,12,1,10,1,11,2,10,2,9,1,17,1,9,1,10,1,12,3,9,2,12,1,10,1,24,1,8,1,17,1,12,1,10,1,12,1,10,1,9,2,10,1,8,1,24,3,13,1,8,1,13,2,8,2,29,3,30,1,28,14,30,1,28,9,30,1,28,1,30,1,6,1,30,1,6,2,7,1,6,1,7,1,6,2,13,1,7,2,28,2,30,1,28,1,29,1,30,1,12,1,17,2,8,1,9,1,8,1,9,2,8,1,6,2,26,1,30,1,29,1,27,1,29,1,28,1,25,1,26,2,6,3,13,1,6,1,25,1,29,1,28,4,6,1,13,1,8,3,7,1,24,1,8,1,24,1,8,3,7,1,13,1,8,1,6,1,7,1,8,1,25,1,28,1,30,1,28,3,30,1,28,1,26,1,27,2,25,1,26,1,8,2,13,1,8,1,13,1,8,3,24,2,9,1,24,1,11,1,9,1,11,2,24,1,9,1,11,1,10,1,11,3,16,2,11,1,16,1,11,1,16,1,17,3,16,1,17,24,12,1,11,3,17,23,16,1,17,21,11,2,12,1,17,5,11,1,12,1,17,7,12,1,17,2,12,1,17,6,12,1,17,5,12,1,17,3,12,1,17,5,11,1,17,1,11,1,17,10,12,1,17,20,12,1,11,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,2,11,2,12,3,17,1,12,2,11,1,12,1,11,1,10,1,11,3,17,1,10,1,17,1,11,2,10,1,12,1,10,1,11,2,12,1,9,1,11,1,10,1,11,2,9,1,11,2,9,2,11,1,9,1,17,34,12,1,17,1,13,1,8,1,30,1,6,1,30,2,13,1,8,1,10,1,12,1,17,1,12,1,10,1,17,1,12,2,17,5,10,1,17,1,12,1,17,1,12,1,17,1,12,1,11,1,10,2,13,3,9,1,10,1,8,1,28,12,29,1,16,1,14,1,17,2,9,1,17,1,11,1,12,1,11,1,8,3,24,1,13,1,16,1,17,4,9,1,28,5,13,1,17,2,9,1,8,1,6,1,29,2,6,1,28,19,}, {30,1,6,1,28,1,6,1,28,2,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,29,1,30,1,28,6,13,1,7,2,13,1,7,1,13,2,8,1,10,1,9,1,8,1,13,1,28,4,30,1,11,1,17,1,16,1,9,1,13,1,8,2,9,2,13,2,29,1,13,2,17,1,8,1,30,1,6,3,30,1,6,1,9,1,17,1,11,1,12,1,16,1,13,1,16,1,9,1,24,1,8,1,17,3,16,1,9,1,8,2,7,1,17,1,16,1,8,1,30,1,28,2,30,1,28,9,6,1,28,2,6,1,30,1,29,1,28,7,29,1,13,3,9,1,10,1,9,1,30,1,28,1,29,1,6,1,28,1,6,1,29,1,9,1,11,1,10,1,9,1,13,1,8,1,6,2,28,2,30,1,29,1,28,1,30,3,13,2,12,1,7,1,28,16,5,145,33,115,5,828,28,2,29,1,30,2,13,2,28,3,7,1,30,1,28,1,30,1,6,1,28,2,29,1,28,1,6,1,30,1,29,1,6,1,13,3,8,1,13,1,9,1,13,1,8,2,6,1,13,4,7,1,13,1,6,2,7,1,6,1,13,1,6,2,8,1,7,1,30,1,6,2,28,1,30,1,6,1,28,3,6,1,29,1,28,1,29,1,30,1,29,2,7,2,13,1,7,1,13,2,28,1,13,1,6,1,7,1,8,1,11,1,12,1,17,1,11,1,17,1,11,2,17,9,12,1,17,1,11,2,17,1,11,1,17,1,28,2,29,1,30,1,28,1,29,1,24,1,11,1,8,1,11,1,8,3,28,2,12,1,10,1,24,1,10,1,24,1,12,3,13,1,8,1,13,1,24,1,8,2,24,1,13,1,8,1,24,1,8,1,24,1,17,1,12,1,9,1,13,1,28,18,6,1,28,9,6,2,28,11,6,1,28,22,7,1,28,1,30,1,28,1,30,1,13,1,6,1,13,1,9,2,11,1,16,1,11,1,16,4,9,1,17,8,11,2,10,1,12,1,9,1,11,1,24,1,10,1,11,1,24,1,11,1,12,1,10,1,12,1,8,1,12,4,17,5,12,1,17,2,12,1,17,1,12,1,17,2,10,1,17,2,11,1,17,3,10,1,12,1,11,1,9,2,10,2,8,2,17,1,10,2,17,1,10,1,24,1,8,1,13,1,6,2,28,112,29,1,30,1,28,2,29,1,6,1,29,1,13,1,6,2,7,1,6,1,8,2,13,1,8,1,9,1,8,2,9,2,12,2,17,1,11,1,12,1,17,1,9,1,10,1,12,2,9,1,17,1,11,1,17,22,9,1,12,1,17,1,8,1,12,1,10,2,9,1,8,1,24,1,8,1,24,1,26,1,29,1,28,1,30,1,28,15,29,1,28,4,29,1,6,2,30,1,29,1,27,1,8,1,26,1,6,1,25,1,27,1,29,1,25,1,6,1,26,1,8,1,26,1,8,2,6,1,13,1,7,1,8,2,10,1,24,1,10,1,12,4,17,2,12,1,17,2,10,1,9,3,12,1,17,1,24,1,8,1,9,1,24,1,12,1,24,2,12,2,24,1,6,1,24,1,8,1,24,2,25,1,17,1,13,1,10,1,24,1,12,1,24,1,12,1,17,1,10,2,12,3,9,1,8,3,24,1,8,1,12,1,17,2,10,1,17,3,12,1,17,2,9,1,10,1,17,1,8,1,9,2,8,1,9,1,24,3,8,1,9,1,17,2,12,1,11,1,17,8,12,1,17,3,16,1,17,1,12,1,17,6,12,1,17,16,11,1,17,1,10,1,11,2,17,1,10,1,9,1,10,1,17,1,9,2,12,2,9,2,17,1,9,1,10,1,24,1,10,3,9,2,12,2,17,1,10,1,8,1,9,1,8,1,24,3,13,1,24,2,7,1,8,1,13,1,7,2,28,1,30,1,6,1,28,25,29,2,30,2,29,1,6,1,13,1,6,1,30,1,24,1,13,1,6,1,8,1,25,1,30,2,28,1,6,1,30,1,7,1,9,1,17,2,11,1,8,1,24,1,9,1,13,1,7,1,6,1,25,1,30,1,28,1,29,1,25,1,29,1,27,2,26,1,7,1,25,1,6,1,7,1,30,1,8,1,29,1,28,3,30,2,13,1,7,1,13,1,8,5,9,1,7,1,8,3,7,1,6,1,8,1,6,1,28,1,27,1,28,1,30,1,28,2,29,2,27,1,25,2,27,1,26,1,8,1,7,1,8,1,13,1,24,1,13,1,8,2,11,1,8,1,12,2,8,1,13,1,8,1,9,1,10,1,9,3,8,1,12,1,9,1,12,1,11,1,17,1,16,1,17,2,16,1,17,33,12,1,17,22,16,1,17,3,16,3,17,2,16,1,17,2,16,1,17,2,9,1,17,3,12,1,17,4,11,1,17,2,12,1,17,1,10,1,17,2,11,1,17,1,12,1,17,6,11,1,17,6,11,1,17,3,12,1,17,5,11,1,17,2,11,1,17,1,12,2,17,1,11,1,12,1,11,2,17,3,10,1,17,2,12,1,17,10,12,1,17,11,12,1,17,4,12,2,17,1,12,1,17,1,10,1,12,1,17,1,11,1,17,1,12,3,17,3,10,1,17,2,12,2,17,1,11,5,10,1,8,1,17,1,11,1,10,1,11,1,10,1,12,1,10,1,12,1,10,2,11,2,9,1,10,1,24,1,10,1,17,36,12,1,9,1,10,1,13,1,7,1,13,2,8,1,9,1,10,1,12,1,11,1,12,2,17,13,10,3,13,1,29,1,9,1,8,1,11,1,13,1,30,1,28,12,14,2,17,2,9,1,11,1,12,2,9,1,13,1,24,1,8,2,13,2,17,4,10,1,28,5,13,1,17,1,11,1,13,2,6,1,7,1,29,2,28,19,}, {30,1,28,1,30,1,28,1,30,2,28,3,29,1,28,3,6,1,30,1,28,2,13,1,28,1,30,1,29,1,28,4,30,1,13,1,8,1,9,1,8,1,13,1,6,1,13,1,10,1,24,1,7,1,29,1,30,2,28,2,30,1,17,2,12,1,8,2,13,1,10,2,24,1,13,2,6,1,29,1,9,1,12,1,9,1,6,1,29,1,6,1,29,1,6,2,9,1,12,1,17,1,12,1,17,1,9,1,10,1,8,1,9,1,8,2,17,3,8,1,13,1,8,1,13,1,17,1,9,1,28,1,30,1,28,11,6,2,28,1,30,1,29,1,28,1,30,1,28,6,30,1,6,1,30,1,13,1,8,2,10,1,24,1,6,1,30,3,29,2,28,1,24,1,9,1,12,1,15,1,24,1,8,1,6,2,29,1,30,1,28,1,30,2,28,1,30,1,13,1,24,2,9,1,8,1,28,15,7,1,16,1,5,139,33,120,5,827,13,1,28,2,6,1,28,1,30,1,6,1,28,3,30,1,28,2,29,3,28,1,6,1,28,1,29,1,30,2,6,1,28,1,13,1,7,1,8,1,13,1,24,1,13,1,8,1,9,1,7,1,8,1,6,1,29,1,7,1,6,1,13,1,30,1,13,1,6,1,7,1,30,1,7,1,13,3,7,2,6,1,30,2,28,2,30,1,28,2,17,1,28,2,29,1,13,1,6,2,13,1,6,2,9,1,6,2,7,1,6,2,8,1,11,1,10,1,17,1,11,1,17,1,12,2,11,1,17,9,12,1,17,2,12,1,17,1,10,1,17,1,30,1,28,4,24,1,17,1,24,1,8,3,24,1,6,1,30,1,12,1,10,1,24,1,12,4,24,1,6,1,8,1,7,1,13,1,24,1,7,2,13,1,24,3,17,2,10,1,24,1,6,1,28,7,30,1,28,5,6,1,28,38,30,1,28,3,30,1,28,7,30,2,28,2,6,1,28,1,30,2,13,2,9,2,16,1,11,1,16,1,11,1,16,2,9,1,11,1,17,8,12,2,9,3,10,2,12,1,10,1,24,3,17,1,12,3,11,1,17,4,12,1,17,12,12,1,17,4,11,1,10,1,9,1,11,1,9,1,24,1,11,1,10,1,12,1,17,1,12,1,10,1,17,1,24,1,8,1,6,2,28,113,6,1,30,2,7,1,30,1,6,1,29,1,6,2,13,2,6,1,9,1,13,2,12,1,10,2,12,1,17,1,8,1,17,2,12,1,10,1,12,1,17,1,11,2,9,1,11,1,12,1,11,4,17,20,10,1,9,1,12,1,17,1,24,1,10,1,8,1,9,1,7,2,8,1,25,1,6,1,28,1,30,4,28,3,29,1,28,7,30,4,28,4,30,1,29,1,27,1,29,1,27,1,25,1,29,2,8,1,29,2,8,1,25,4,24,1,8,3,24,1,12,1,24,3,12,1,24,1,17,5,12,2,17,2,12,1,24,1,12,1,10,2,24,2,9,1,24,2,10,1,8,1,24,1,8,1,24,1,7,1,10,1,24,1,8,1,24,3,8,1,24,1,8,1,12,2,24,2,9,1,12,1,17,1,12,2,24,1,12,1,8,1,13,1,12,1,9,1,8,1,11,1,17,3,10,1,17,1,12,1,17,3,12,1,11,1,17,1,8,1,10,2,24,2,10,1,24,1,8,1,17,1,12,1,17,1,11,1,17,15,11,1,17,1,12,1,17,1,11,1,9,1,17,2,9,1,17,16,16,1,17,4,11,1,13,1,8,1,13,1,10,1,9,2,10,1,11,1,12,1,11,1,8,1,12,1,11,1,9,1,12,1,10,1,9,2,12,4,10,1,12,1,9,2,24,1,8,2,24,2,13,1,24,1,6,1,7,1,6,2,30,1,29,1,28,13,30,1,28,14,6,1,30,1,6,1,7,1,13,1,6,1,8,2,6,2,13,1,7,1,13,1,6,2,29,1,6,1,17,3,9,4,6,1,7,1,25,1,27,1,30,1,27,1,26,1,29,1,27,2,25,1,29,2,6,1,29,1,8,3,29,1,6,1,28,1,30,2,7,1,13,1,7,2,13,1,7,1,13,1,6,1,13,1,10,1,8,1,13,1,8,1,6,1,13,1,6,2,28,2,30,2,29,2,28,1,30,1,29,1,25,2,27,1,25,1,26,1,13,1,24,1,8,1,13,1,8,2,9,1,8,1,13,1,12,1,8,1,10,2,12,1,10,1,24,2,9,2,24,1,9,1,10,1,11,1,9,1,11,2,16,2,11,1,17,1,11,1,17,30,12,1,17,2,12,1,17,18,16,1,17,4,16,1,17,5,11,1,17,3,11,1,17,1,11,1,17,3,11,1,17,3,11,1,17,2,11,1,17,2,11,1,9,1,11,2,12,1,17,1,12,1,17,2,12,3,17,2,11,1,17,1,11,1,17,4,12,1,17,1,12,1,17,3,12,2,17,1,11,1,12,1,17,1,11,1,9,1,17,3,12,1,17,2,11,1,17,1,11,1,17,3,11,1,12,1,17,1,12,2,11,1,17,4,12,1,17,15,12,1,17,3,12,1,17,1,12,1,11,1,17,1,12,1,11,1,17,1,12,1,17,2,12,1,17,1,11,1,10,1,11,1,10,1,11,1,17,2,12,2,10,1,17,1,12,1,10,1,17,1,10,1,12,1,9,1,17,1,12,1,11,1,10,1,12,1,9,1,11,1,10,1,11,2,9,1,17,2,11,1,12,1,10,3,12,1,17,31,12,1,11,1,17,1,8,2,6,1,13,1,24,1,13,1,9,2,24,2,11,1,12,1,17,10,12,1,11,1,10,2,13,1,24,1,6,1,9,1,13,1,17,1,30,1,28,12,6,1,14,1,17,4,11,1,12,1,17,1,9,1,13,1,7,1,8,1,6,1,13,1,10,1,16,1,17,3,13,1,28,5,9,1,17,1,11,1,8,1,13,1,8,1,6,1,29,1,7,1,28,19,}, {30,1,28,1,30,2,28,1,6,1,28,1,29,1,28,1,29,1,28,1,29,1,28,1,30,1,28,3,30,3,28,1,30,1,28,3,30,1,28,1,13,1,8,3,13,1,24,1,10,2,8,1,6,1,28,2,30,1,28,1,30,1,11,1,17,2,13,1,24,1,10,1,11,1,8,2,24,1,13,2,30,1,13,1,12,1,17,1,13,1,6,3,29,1,30,1,9,1,17,1,11,1,16,1,17,1,8,3,24,1,8,1,9,1,17,3,10,1,8,1,6,2,10,1,16,1,13,1,30,1,28,11,30,1,28,2,30,1,28,9,6,1,13,1,6,2,7,1,13,1,12,1,24,1,30,1,29,1,30,1,29,1,30,1,28,1,6,1,9,1,24,1,9,1,13,1,8,2,13,2,29,1,6,1,28,1,30,1,28,1,30,1,28,1,13,1,9,1,10,1,9,1,13,1,28,11,30,1,28,3,6,1,16,1,5,132,33,128,5,826,28,2,30,1,28,2,6,1,30,1,6,1,28,1,30,4,29,1,30,1,28,2,30,3,28,1,7,3,13,1,7,2,8,2,13,2,9,1,6,1,13,1,8,1,7,2,6,1,13,2,7,1,6,1,29,1,7,2,13,1,6,1,30,1,29,2,6,1,28,2,30,1,28,1,30,1,28,2,13,1,29,1,7,1,6,1,30,1,13,1,7,1,6,1,8,1,13,2,30,1,13,1,6,1,7,1,13,1,11,1,12,1,11,1,12,1,17,3,12,1,17,15,11,1,17,1,28,4,30,1,8,1,11,1,10,1,9,2,8,1,13,1,30,1,7,1,12,1,8,1,10,1,17,1,8,1,10,1,6,1,29,1,28,1,29,1,10,1,24,1,25,1,6,1,29,1,30,1,24,1,10,1,24,2,10,1,24,1,29,1,28,9,30,1,13,1,28,2,13,1,30,1,28,38,13,1,28,1,30,1,28,3,13,1,6,1,30,1,28,3,30,2,28,1,6,1,28,1,6,1,13,1,28,1,13,1,9,2,11,2,16,1,17,1,10,1,11,1,9,1,29,1,13,1,9,1,17,8,12,1,11,2,9,4,24,2,12,1,24,1,12,1,11,1,10,1,12,1,10,1,17,1,11,1,17,1,11,1,17,7,11,1,12,1,17,2,12,1,17,1,12,1,17,4,11,2,10,1,11,1,8,1,11,1,9,1,10,1,12,1,11,1,10,1,11,1,17,1,8,1,13,1,6,1,29,1,28,114,6,1,28,1,7,1,6,1,30,1,28,1,13,1,6,2,13,1,6,1,9,3,13,1,10,1,9,1,11,2,10,1,11,1,12,2,17,1,11,1,17,1,12,1,8,1,17,1,11,1,9,1,12,1,8,1,12,1,10,1,17,18,11,1,8,1,17,1,24,1,10,1,24,1,9,1,10,1,8,1,24,2,8,1,26,1,27,1,25,1,27,1,26,1,28,1,30,2,28,4,30,1,28,9,30,2,29,3,26,1,29,1,27,2,8,1,27,1,8,1,25,1,8,1,25,1,27,1,25,3,8,2,24,1,13,1,24,1,8,1,24,2,9,1,12,1,9,1,10,1,12,1,24,1,17,3,12,1,10,1,12,1,10,1,12,1,24,1,10,1,12,2,8,1,24,1,12,1,8,1,10,1,24,2,9,1,24,1,8,1,24,1,12,1,24,1,8,1,24,1,8,1,12,1,10,1,24,3,12,1,24,2,12,1,9,1,17,2,10,1,12,1,9,2,24,1,13,1,8,2,10,1,12,1,17,1,11,1,17,4,9,1,17,1,10,1,24,2,12,1,9,1,8,2,10,2,13,1,9,1,12,1,9,1,17,2,9,1,17,2,11,1,17,3,9,1,17,2,12,1,17,4,11,1,9,1,17,1,9,1,17,5,16,1,17,26,10,1,17,1,12,1,9,1,11,1,10,1,9,1,11,1,10,1,9,1,12,1,8,1,12,6,24,1,9,1,12,1,10,1,8,1,10,1,24,1,13,1,24,1,13,1,8,1,13,1,24,1,6,1,29,1,6,2,29,1,28,25,29,1,30,4,6,1,8,1,13,1,6,1,24,1,13,1,24,1,13,1,24,1,7,1,6,2,29,1,7,1,9,1,17,2,10,2,9,2,13,2,25,1,27,2,30,1,27,3,29,1,25,1,26,1,6,2,7,1,24,1,13,2,7,1,6,1,30,1,8,1,7,1,8,1,13,1,24,1,7,1,13,1,8,2,13,1,24,1,8,2,7,1,24,1,7,1,6,2,30,1,29,1,28,3,29,2,27,3,29,1,30,1,27,1,25,1,26,1,24,1,13,1,8,1,24,1,7,1,8,3,24,1,13,1,24,1,8,1,24,1,10,1,9,1,8,2,13,2,24,1,8,1,11,1,10,1,9,1,11,1,9,1,17,1,10,1,16,1,17,3,16,1,17,28,12,1,11,1,17,1,12,2,11,1,17,21,12,1,17,3,11,1,17,12,11,1,17,3,11,1,17,1,11,2,17,1,12,1,17,1,11,1,17,1,11,1,17,1,10,1,17,4,11,2,17,7,11,1,17,1,11,1,17,1,10,1,17,3,12,1,9,1,17,1,12,1,11,1,17,10,12,1,11,1,17,1,11,2,17,2,11,1,17,4,12,1,17,8,12,1,17,6,12,1,17,4,11,1,17,5,12,1,17,2,12,2,11,1,12,1,17,2,11,1,10,1,17,2,12,1,11,2,12,1,17,3,11,1,12,1,17,1,10,2,11,1,17,4,10,1,17,1,11,3,10,1,12,2,11,1,9,1,12,1,9,1,10,1,9,1,10,1,24,1,11,1,17,31,9,1,11,1,8,1,13,5,9,4,17,8,11,1,17,2,12,3,9,1,8,2,9,2,11,1,28,13,30,1,17,4,11,1,17,1,11,1,10,1,9,1,13,2,24,1,8,1,9,1,16,1,11,1,16,1,9,1,17,1,13,1,28,5,9,1,17,2,13,1,24,1,8,1,6,1,29,1,6,1,28,19,}, {6,1,28,2,6,1,28,1,29,1,6,1,29,1,28,1,29,1,28,4,30,1,28,1,30,2,28,1,6,1,28,2,30,1,28,2,29,1,30,1,7,1,8,2,7,1,6,1,8,1,14,1,10,1,13,1,7,1,28,1,29,1,28,1,29,1,30,1,13,1,17,2,13,1,24,1,11,1,8,2,10,1,24,1,8,2,6,1,8,1,12,1,8,1,6,1,13,3,6,2,9,1,17,2,12,1,11,1,13,1,8,1,9,1,13,1,24,1,9,1,10,1,17,2,13,2,8,1,6,1,17,1,11,1,13,1,28,10,30,1,6,2,30,1,28,9,30,1,28,2,29,2,13,1,8,1,24,1,9,1,8,1,13,1,29,1,6,2,29,3,9,2,10,1,15,1,24,1,13,1,29,2,28,1,13,1,28,1,7,1,28,1,6,1,7,1,6,1,8,1,9,1,12,1,13,1,28,11,29,1,28,3,6,1,16,1,5,126,33,134,5,825,28,6,9,1,28,4,6,2,29,1,30,1,6,1,28,3,30,3,29,1,6,1,13,4,24,1,13,2,30,1,8,1,7,1,13,1,9,1,6,1,8,1,6,1,13,1,7,1,6,1,13,1,7,1,13,3,6,1,7,1,6,1,28,8,6,1,7,1,6,1,29,1,7,3,13,4,7,1,28,1,13,3,17,2,11,2,17,5,12,1,17,1,12,1,17,12,11,1,17,1,6,1,28,2,29,1,13,1,9,2,8,1,9,2,8,1,28,2,12,2,24,1,12,1,17,1,10,1,7,1,28,2,6,1,25,1,24,3,7,1,13,1,10,1,24,1,17,1,24,1,13,1,29,1,28,10,13,1,7,1,28,3,7,1,28,16,29,1,28,5,30,1,28,12,30,3,6,2,30,1,6,1,30,1,6,1,13,1,30,1,28,2,6,1,28,2,30,1,28,1,6,1,30,3,13,3,9,2,16,1,9,1,16,1,17,1,9,1,10,1,16,1,17,1,9,1,6,1,13,1,17,2,12,1,17,3,12,1,17,1,12,1,17,1,10,4,12,1,8,1,12,1,24,2,12,1,9,1,12,1,9,1,17,2,11,1,17,3,12,1,17,1,12,1,17,10,12,1,11,1,17,1,11,1,12,1,10,2,11,1,9,1,8,1,9,1,11,1,12,2,17,1,10,1,9,1,7,2,6,1,28,112,30,2,6,2,30,1,29,1,30,2,6,1,7,1,6,1,13,1,9,1,13,1,10,1,8,1,9,2,10,1,8,1,12,4,11,1,12,1,11,2,9,1,10,1,11,1,12,1,9,2,8,1,12,1,10,1,9,1,17,16,16,1,10,1,9,2,10,1,9,1,24,3,10,1,8,2,13,1,29,1,26,1,27,1,29,1,30,2,28,1,30,2,28,12,27,1,29,1,30,1,28,1,27,1,28,1,29,1,25,1,26,1,25,5,26,1,27,1,26,1,24,2,25,1,24,1,25,1,24,1,7,1,24,2,10,1,12,1,17,3,12,1,11,1,17,1,12,1,17,1,12,2,24,1,12,1,24,1,10,1,9,1,10,1,12,1,24,1,9,2,10,2,24,1,17,1,24,1,13,1,24,2,8,3,24,1,12,1,8,1,24,2,13,1,17,1,24,1,9,1,12,1,8,1,12,1,8,1,10,1,12,2,9,1,17,1,12,1,24,2,8,1,10,1,13,1,9,1,17,1,12,1,17,3,12,1,10,2,9,1,10,1,9,1,8,1,17,1,9,1,24,1,12,1,24,2,9,1,17,2,12,1,17,1,11,1,16,1,17,3,11,1,17,1,12,1,17,2,11,1,17,3,12,1,17,3,9,1,12,2,17,1,12,1,11,1,17,28,11,1,17,1,11,1,17,1,9,1,17,1,12,1,17,1,12,1,11,1,9,1,17,1,12,2,11,1,10,1,12,2,10,1,8,2,24,1,13,3,7,2,13,2,8,1,13,2,7,1,6,1,30,1,28,26,30,1,28,1,6,1,29,1,7,1,29,1,8,1,7,1,8,3,9,1,8,1,9,1,8,1,9,1,13,2,8,1,12,1,17,1,10,1,9,1,10,1,9,2,13,1,7,1,27,1,30,1,27,3,26,1,27,2,25,1,29,1,6,2,13,1,24,1,13,2,24,1,8,1,7,1,24,1,7,1,24,1,13,1,8,1,13,2,9,1,13,1,24,1,13,1,10,1,8,1,13,1,8,1,29,1,6,1,29,2,30,1,28,1,30,1,29,3,27,1,25,3,24,1,25,1,8,1,24,1,7,1,8,2,24,1,13,1,24,3,13,1,8,1,13,2,8,1,13,2,8,1,13,1,8,1,9,1,8,1,12,1,9,1,11,2,10,1,12,1,16,2,12,1,11,1,17,1,16,1,17,28,12,1,17,3,11,2,17,23,12,1,17,15,12,1,17,2,12,2,17,2,11,1,17,1,11,2,17,1,11,1,17,1,11,1,12,1,11,3,17,2,12,1,11,1,17,1,11,1,17,1,12,1,17,1,12,1,17,2,11,1,17,5,12,2,10,1,11,1,12,1,17,3,12,2,17,2,12,1,17,2,11,1,17,1,11,1,17,1,11,2,17,1,11,1,17,1,12,1,17,1,11,1,17,4,12,1,17,6,12,1,17,5,12,1,17,4,12,1,17,1,12,2,17,1,12,1,17,4,12,2,17,2,12,2,11,1,17,1,12,1,11,1,12,1,17,1,12,1,11,1,17,1,12,2,11,1,17,1,12,5,17,1,12,2,10,1,11,1,10,1,17,1,10,1,11,2,12,1,10,1,12,1,9,1,11,2,10,1,17,33,24,1,9,1,13,1,8,1,13,2,8,1,13,1,8,1,24,1,11,1,12,1,17,5,12,1,17,3,12,1,17,2,11,1,12,1,13,1,8,1,9,2,30,1,28,12,29,1,17,5,16,1,11,1,12,1,9,3,8,3,10,1,17,4,7,1,28,5,8,1,17,1,11,1,9,1,24,1,13,1,30,1,6,1,30,1,28,19,}, {28,1,6,1,28,1,6,1,30,1,29,1,28,1,6,1,28,1,30,5,28,3,29,1,28,8,6,1,29,1,24,1,8,2,29,1,8,1,9,1,10,1,29,1,30,2,28,2,30,1,6,1,17,3,8,1,7,1,8,1,9,1,8,2,10,1,9,1,8,1,13,1,8,1,17,2,13,1,8,1,7,2,6,2,11,1,12,2,16,3,24,1,9,2,13,1,9,1,11,1,17,2,10,1,13,2,30,1,12,1,9,1,13,1,28,9,30,1,29,1,7,1,6,1,30,1,28,9,30,1,28,1,6,1,28,1,13,3,15,1,9,1,15,1,29,1,30,1,29,1,6,3,29,1,8,2,15,1,9,1,24,1,6,1,8,1,28,1,30,1,28,2,30,1,28,1,30,2,13,1,24,1,12,2,13,1,30,1,28,14,13,1,16,1,5,123,33,137,5,824,13,1,28,5,13,1,9,1,28,3,29,1,30,1,29,1,13,1,30,1,28,4,30,2,28,1,6,1,13,1,6,1,13,2,6,1,9,1,8,1,13,2,7,3,13,1,6,1,13,1,7,1,6,1,7,1,6,1,7,4,13,1,6,1,30,1,6,1,28,2,30,1,28,5,30,1,13,1,7,1,29,1,13,1,7,1,6,2,13,2,30,1,13,1,8,1,13,1,8,1,10,1,12,1,17,1,11,1,17,1,11,1,17,17,12,2,17,2,13,1,28,2,13,1,9,1,8,1,9,1,12,1,10,1,13,2,28,1,7,1,24,1,10,2,12,1,17,1,24,1,29,1,6,1,28,1,8,1,12,1,24,2,13,1,8,2,13,1,24,1,30,1,28,11,8,1,13,1,28,4,13,1,28,18,30,1,28,18,30,1,28,1,30,2,28,1,6,1,13,1,30,2,13,4,28,1,7,1,28,2,6,1,28,1,6,1,28,1,13,2,9,3,16,1,11,1,16,2,11,3,17,2,9,1,7,1,8,1,17,10,10,1,17,1,24,1,11,1,8,1,17,1,9,1,12,1,9,3,12,1,9,1,11,1,12,2,17,4,9,1,17,5,10,1,17,7,11,1,10,1,17,1,11,1,9,1,11,3,10,1,12,1,17,1,12,1,24,2,7,1,6,1,29,1,28,112,30,3,6,2,30,1,6,1,7,1,6,1,13,1,7,1,13,1,8,2,9,1,12,1,24,1,9,1,12,1,10,1,9,1,17,1,11,2,12,2,11,1,9,1,10,1,9,3,8,1,9,5,17,15,11,1,9,1,12,1,11,1,9,1,24,1,12,1,24,2,10,1,24,1,13,1,8,1,7,1,6,1,26,1,27,1,28,1,27,1,28,1,29,1,28,1,29,1,28,1,30,2,28,3,30,2,29,2,30,1,29,1,25,1,28,1,29,1,30,1,29,1,27,1,25,1,29,1,25,2,26,1,10,1,24,2,26,1,27,1,8,1,24,1,25,2,8,1,24,2,8,1,12,1,10,1,12,1,9,1,17,1,9,1,12,1,10,1,17,3,12,2,17,1,12,3,10,1,12,1,9,1,10,1,24,1,10,1,24,4,13,1,12,1,7,1,24,1,8,1,24,4,8,1,24,1,8,1,10,1,8,1,12,2,24,1,10,1,8,1,24,2,9,1,12,1,9,1,10,1,12,1,10,1,12,1,9,1,24,2,10,1,11,1,12,1,17,1,11,1,17,4,9,2,17,1,8,1,10,1,9,1,10,1,24,1,11,1,12,2,11,1,17,6,16,1,12,1,17,6,9,1,17,4,12,1,17,3,12,1,11,2,17,2,16,1,11,1,17,16,16,1,17,12,11,2,17,1,12,1,10,1,9,1,10,1,17,1,9,1,17,1,10,2,17,1,9,1,10,2,9,1,8,1,12,1,8,1,7,1,8,1,13,1,7,1,29,1,6,1,7,1,6,1,13,1,7,1,6,1,7,1,30,1,28,25,29,1,28,1,29,1,7,1,29,1,8,1,6,1,12,1,9,1,8,1,24,1,10,1,9,1,10,1,9,2,12,1,8,1,9,1,11,1,17,2,12,1,11,1,8,1,13,3,25,1,27,4,25,1,26,1,25,2,6,1,7,1,6,2,8,1,7,1,8,1,24,1,8,4,24,1,8,1,24,2,13,1,8,1,24,1,8,1,10,1,24,1,13,2,6,1,25,1,29,1,6,1,28,3,30,1,27,1,29,1,25,1,30,1,27,1,26,1,27,1,25,1,27,1,24,2,7,2,6,1,13,1,28,1,25,1,26,1,8,1,12,1,8,2,24,2,25,1,24,2,10,1,24,1,17,1,9,1,17,4,12,2,16,1,10,1,9,3,8,1,10,1,17,31,12,1,17,1,11,1,17,19,16,1,17,15,11,2,17,2,12,1,17,1,11,1,17,1,12,2,11,1,17,1,11,2,17,1,11,1,12,3,11,1,17,1,12,1,17,4,11,1,12,2,17,1,11,1,17,1,12,1,17,1,10,1,17,2,11,1,12,1,11,3,17,2,12,1,17,2,11,1,17,4,11,1,17,4,11,1,17,4,12,1,17,1,11,1,17,3,12,1,17,4,11,1,10,1,17,3,12,2,17,1,11,1,17,3,12,1,17,1,10,1,17,7,12,1,11,1,17,3,11,1,17,1,12,1,17,2,11,1,12,2,11,1,12,1,17,1,12,2,11,1,12,1,17,7,12,2,17,1,10,1,12,1,11,1,12,2,11,1,17,1,11,2,9,2,11,1,10,1,12,1,8,1,11,1,12,1,11,1,17,27,12,1,17,1,12,1,11,1,10,2,13,1,6,1,13,1,7,2,8,1,24,1,10,1,17,9,12,2,17,2,12,1,17,1,13,1,8,1,11,1,9,1,6,1,28,12,7,1,17,3,16,1,17,1,10,1,11,2,9,1,8,1,13,3,11,1,9,1,16,1,9,1,17,2,6,1,28,5,11,1,17,1,12,1,24,2,7,1,29,1,13,1,29,1,28,19,}, {29,2,6,1,28,3,30,1,6,1,28,1,30,1,28,2,30,1,28,4,6,1,28,6,30,1,28,2,13,2,24,2,6,1,13,1,9,1,15,1,13,1,30,1,28,3,30,1,29,1,13,1,17,2,13,2,9,1,8,1,9,1,8,1,24,2,9,1,13,1,8,1,17,1,9,2,8,2,24,1,13,1,6,1,8,1,16,1,11,2,9,1,13,1,8,1,24,1,8,1,9,2,17,3,16,1,13,1,24,1,13,1,9,1,10,1,8,1,28,5,6,1,28,4,6,1,28,13,30,2,13,1,6,1,8,2,10,2,14,1,9,1,29,2,6,1,30,1,28,1,29,1,7,1,8,1,12,1,24,1,8,2,6,1,13,1,6,1,30,1,28,2,30,3,13,1,9,1,13,1,17,1,13,1,30,1,28,14,30,1,16,1,5,114,33,146,5,824,28,3,7,1,28,2,6,1,30,1,28,1,30,1,28,2,29,1,13,1,28,6,30,2,13,1,6,1,8,1,7,1,9,1,13,2,8,1,13,1,10,1,9,1,13,1,7,1,8,1,7,3,6,1,13,1,6,1,7,1,6,1,13,1,6,1,7,1,30,1,28,1,7,1,6,1,28,1,30,1,28,5,30,1,6,1,7,1,30,1,13,4,8,1,13,2,6,1,7,1,8,1,9,2,12,2,17,17,12,1,17,3,12,2,17,1,11,2,28,2,6,1,9,1,12,1,10,1,17,1,7,1,6,1,13,1,6,1,12,1,10,1,12,2,17,2,28,1,30,1,6,1,25,1,24,1,10,1,7,1,6,2,28,14,30,1,6,1,28,6,30,1,28,16,29,1,28,8,30,1,28,12,6,1,13,1,6,1,13,2,6,1,13,1,6,1,30,1,13,2,30,1,6,1,28,6,30,1,6,1,9,1,13,1,9,1,11,1,9,1,16,1,11,2,13,1,9,2,11,1,16,1,17,1,16,1,13,2,11,1,17,2,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,10,1,24,1,9,1,24,1,9,2,12,2,10,1,11,1,12,1,9,1,12,3,11,1,17,6,12,1,17,4,12,1,17,2,12,4,11,1,10,1,9,1,8,1,11,1,12,1,9,1,17,1,12,2,9,1,7,1,29,2,28,112,30,1,6,1,30,3,6,1,29,1,30,1,7,1,13,1,8,2,13,1,8,2,24,1,12,1,17,1,9,1,17,1,9,1,17,1,10,1,12,2,17,1,11,1,9,1,12,2,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,10,1,9,1,17,13,9,1,17,1,10,1,9,1,24,1,12,1,17,1,12,1,9,1,12,1,8,1,24,1,8,1,13,1,6,2,25,1,27,1,29,1,30,1,28,7,30,2,28,2,27,1,28,1,30,1,29,1,27,1,29,1,30,1,25,1,26,1,30,1,8,1,27,1,26,1,6,1,8,2,24,1,25,1,8,1,25,1,8,3,24,1,8,1,24,1,8,1,12,2,10,1,17,1,10,1,12,3,10,1,17,5,10,1,12,1,24,1,10,1,12,1,9,1,24,3,10,1,24,3,17,1,24,2,8,1,24,4,13,1,10,1,24,1,8,2,12,1,24,1,10,1,24,1,8,1,10,1,12,2,10,1,17,1,12,2,17,1,10,1,12,1,24,1,10,1,9,1,8,1,24,1,12,1,17,2,11,1,17,2,10,1,17,1,12,2,13,1,8,1,6,1,24,2,8,1,9,1,11,2,17,2,11,1,17,2,16,1,11,1,17,2,12,1,17,4,12,1,17,4,11,1,17,1,12,1,17,4,12,1,9,1,17,1,12,1,17,6,16,1,17,14,16,1,17,11,11,1,12,1,17,1,12,1,17,1,11,1,12,2,17,1,10,1,24,1,10,2,13,1,7,1,8,1,6,1,7,1,8,1,29,1,6,1,29,1,6,2,29,1,6,1,13,1,6,1,29,1,28,22,30,1,29,1,28,2,30,3,29,1,30,1,13,1,6,1,12,1,17,1,12,1,10,1,8,1,10,1,9,1,10,1,9,1,12,2,17,4,11,1,17,1,10,1,8,2,7,1,25,1,29,1,27,1,26,2,27,1,26,1,25,3,13,1,7,1,30,1,8,1,9,1,7,1,13,2,24,1,8,1,24,1,8,1,10,1,9,2,24,1,8,1,9,1,8,2,10,1,8,1,13,1,6,1,7,1,29,1,26,1,25,1,30,2,28,1,27,2,25,1,26,1,27,1,26,2,27,1,24,1,8,2,26,1,25,1,29,1,6,1,29,1,6,1,12,1,24,3,10,1,8,1,10,1,24,1,12,1,24,1,12,1,10,1,17,1,24,1,12,1,17,7,10,1,24,1,10,1,24,2,17,30,12,2,17,2,11,1,17,1,11,1,17,30,11,1,17,3,12,1,10,1,17,1,11,1,17,2,11,2,17,1,11,3,17,1,12,1,17,1,11,1,17,12,10,1,17,2,11,1,17,2,11,1,17,1,11,1,9,1,17,1,11,1,12,1,17,15,12,1,17,2,12,1,17,1,12,1,17,1,11,1,12,1,17,1,11,2,17,5,11,1,17,2,12,1,17,11,12,1,17,2,12,1,17,5,12,1,11,1,17,1,12,3,17,1,12,1,17,5,12,2,17,2,11,1,12,1,11,1,17,1,11,1,17,1,12,1,17,1,12,1,17,3,10,2,12,1,10,1,17,2,12,1,11,1,12,1,10,2,9,1,11,1,10,1,9,1,10,1,12,1,9,1,11,1,17,1,12,1,17,4,12,1,17,20,12,2,8,1,13,1,7,1,13,1,8,1,13,1,8,1,9,1,17,1,10,1,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,2,12,1,17,1,12,2,9,1,13,1,6,1,28,12,6,1,17,5,11,2,12,1,11,1,8,1,13,1,8,2,9,1,16,1,17,1,9,1,17,1,11,1,8,1,28,5,16,1,17,1,10,2,8,1,13,1,7,1,30,2,28,19,}, {28,1,30,1,29,1,30,1,28,2,6,1,7,1,6,1,28,1,30,1,28,2,30,1,28,2,29,1,28,4,29,1,28,5,6,1,13,1,8,1,13,1,24,1,30,1,9,1,17,1,7,1,29,1,28,1,30,1,28,1,30,1,28,1,13,1,17,1,16,1,13,1,8,1,13,1,8,1,9,2,15,1,24,1,8,3,17,2,9,1,6,1,24,1,8,1,13,1,6,1,9,1,17,1,16,2,11,1,9,1,8,2,9,1,24,1,8,1,16,1,17,3,8,1,13,2,10,1,14,1,8,1,28,3,30,1,29,1,30,1,28,17,30,1,28,1,6,1,13,1,6,1,10,1,24,1,12,1,15,2,8,1,13,1,7,1,6,1,30,1,29,1,28,1,8,1,10,1,9,1,8,1,9,1,13,1,30,1,6,1,30,1,28,1,6,1,28,1,29,1,28,1,30,1,6,1,13,1,8,1,10,1,24,1,30,1,28,15,9,1,5,90,33,170,5,823,28,6,13,1,30,1,13,1,28,1,30,1,28,2,30,1,28,1,30,1,28,6,6,1,13,1,7,1,8,2,13,5,7,1,28,1,7,1,13,1,7,1,13,1,29,2,7,1,13,1,7,1,6,1,30,1,7,1,28,1,7,1,13,1,29,1,13,1,29,1,28,3,30,1,28,4,13,2,30,1,7,1,13,2,6,2,13,1,7,2,24,2,9,1,11,2,17,6,12,1,17,16,12,1,17,1,10,1,11,2,13,1,8,1,9,1,12,1,13,1,30,1,6,2,7,1,24,1,12,1,10,1,12,1,11,2,24,1,28,1,24,1,12,1,24,1,7,1,28,25,30,1,28,17,30,1,28,25,7,1,13,1,6,6,13,1,28,1,30,1,28,2,30,1,13,1,30,1,6,1,13,1,9,1,13,1,16,3,13,5,9,1,13,1,17,2,9,1,6,1,8,1,9,1,11,2,12,1,17,5,12,1,17,3,8,1,24,1,10,1,8,1,10,1,12,1,9,1,10,1,12,2,17,2,12,1,17,8,12,1,17,4,12,1,17,3,12,1,10,1,12,2,24,1,10,1,13,1,9,1,10,1,12,3,8,2,30,2,28,111,29,1,13,1,28,2,13,1,28,1,6,1,28,1,6,2,30,1,13,1,12,1,10,2,8,1,10,1,9,1,10,1,11,1,24,2,17,1,10,1,12,2,11,2,17,1,8,1,11,1,9,2,13,1,8,1,6,1,13,1,8,1,10,2,9,1,12,1,17,12,9,2,10,1,17,1,12,1,10,1,24,1,10,1,12,1,8,1,24,1,7,1,13,1,8,1,7,3,30,3,28,1,29,1,26,1,30,2,28,2,27,1,28,2,29,1,28,1,30,1,27,2,30,1,26,1,27,2,26,1,27,1,24,1,29,1,8,3,24,1,8,1,24,1,10,1,25,1,24,3,25,1,24,1,8,1,24,1,12,2,9,1,17,1,10,1,12,1,17,1,10,1,17,3,12,1,17,1,10,1,12,1,10,1,12,3,10,1,24,3,8,1,24,2,8,2,24,1,10,1,24,1,25,1,24,1,25,1,24,1,8,1,24,2,8,1,24,1,9,1,17,1,24,3,17,1,24,2,17,2,10,1,9,1,12,1,11,1,12,1,10,1,11,1,10,1,9,1,12,1,9,1,17,6,11,1,24,1,17,1,24,2,8,2,11,1,9,1,12,1,17,4,12,1,11,1,10,1,17,2,9,1,17,3,12,1,17,1,12,1,17,1,12,1,17,1,11,1,10,1,17,2,10,1,12,1,17,3,11,1,10,1,17,26,16,2,17,9,12,2,11,1,12,1,17,1,12,1,10,1,8,1,9,2,8,1,13,1,7,1,13,1,8,1,29,1,6,4,29,1,30,1,6,1,13,1,29,1,7,1,6,1,30,2,28,13,30,1,28,9,30,3,29,1,30,1,6,1,8,2,10,2,9,1,12,1,8,1,24,1,8,1,11,1,9,1,17,1,10,1,9,1,17,3,11,1,17,1,11,1,13,1,8,1,13,1,8,1,27,2,29,1,26,2,25,2,29,1,6,1,29,1,7,2,13,1,8,1,13,1,8,1,13,3,8,1,13,1,24,2,9,1,8,2,9,1,24,1,10,1,9,1,13,1,7,1,13,1,7,1,29,1,27,1,29,2,27,1,26,1,27,1,25,1,29,1,8,1,26,1,24,3,17,1,25,1,12,1,8,1,24,3,12,1,24,7,15,1,24,1,15,1,12,3,17,1,12,1,17,2,12,5,17,2,9,1,24,1,12,1,10,1,12,2,17,29,11,1,17,33,11,1,17,3,12,1,17,2,11,1,17,2,12,1,11,1,17,3,11,1,17,1,11,1,17,1,11,1,17,4,11,3,17,3,11,1,17,1,11,1,12,1,11,1,17,1,12,1,17,3,11,1,12,1,11,1,17,1,10,1,17,2,12,1,17,2,11,1,17,10,12,1,17,3,12,1,17,1,11,1,17,6,12,2,17,2,12,1,11,1,12,2,17,6,11,1,17,4,12,1,17,1,11,1,17,2,10,1,12,1,17,1,12,1,17,2,12,6,10,1,12,5,11,1,12,1,17,8,12,1,17,1,12,1,17,1,10,1,17,1,10,1,12,2,10,1,12,1,10,2,9,1,11,1,12,2,9,1,11,1,9,1,12,1,10,1,11,1,12,1,17,1,10,1,11,3,17,24,12,2,11,1,8,1,7,2,8,1,13,1,8,1,9,1,10,3,12,1,17,2,11,1,17,2,12,1,17,4,12,1,17,1,9,2,28,13,7,1,17,6,9,3,13,2,8,1,13,1,11,1,17,1,11,2,17,2,30,1,28,5,16,1,17,1,10,1,13,1,8,1,13,1,6,1,30,1,28,20,}, {29,2,28,1,29,1,6,1,28,1,6,1,28,2,30,1,13,1,29,1,30,1,29,1,28,4,30,1,28,1,30,1,28,2,30,4,6,1,9,1,8,1,13,1,8,1,6,1,24,1,15,1,8,1,30,1,28,1,29,1,28,3,13,1,17,2,9,1,13,1,9,1,15,1,10,1,12,1,9,1,10,1,11,1,7,1,13,1,17,2,9,2,13,1,7,1,13,3,17,1,9,1,11,1,9,1,8,1,9,2,8,1,13,1,11,1,16,1,17,2,14,1,30,1,29,1,13,1,9,1,14,1,13,1,28,2,30,1,28,1,7,1,30,1,28,5,30,1,28,10,30,1,28,3,6,1,13,1,7,1,12,2,17,2,24,1,13,1,6,1,30,1,7,1,29,1,30,1,12,1,8,1,9,2,8,1,30,1,6,1,29,1,6,1,28,1,30,1,28,1,6,2,29,1,6,1,7,1,9,1,24,1,9,1,28,16,8,1,5,26,33,234,5,823,28,6,7,1,30,3,6,1,28,2,30,2,28,7,13,1,6,1,13,2,24,1,7,1,8,1,13,1,9,1,6,1,13,1,8,1,13,2,7,3,6,1,13,2,7,1,6,1,7,1,6,3,30,1,6,1,30,1,29,1,28,1,30,1,28,5,7,1,6,1,7,3,6,1,13,4,6,1,13,1,9,1,10,1,12,1,17,27,12,1,11,3,17,2,12,1,24,1,8,1,6,1,30,1,13,2,10,1,12,1,17,1,9,1,12,1,17,2,24,1,29,1,28,27,30,1,28,45,30,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,2,30,3,11,1,9,1,11,1,16,1,9,1,11,1,16,1,10,1,9,2,13,1,11,1,13,1,16,1,17,2,30,1,13,2,10,1,11,2,17,6,12,1,9,1,12,1,17,3,10,1,17,1,10,1,17,2,12,1,10,1,12,1,17,10,11,1,17,4,11,1,10,1,12,4,9,1,11,2,9,2,11,1,10,1,12,1,10,2,7,2,29,1,30,1,28,111,30,1,29,1,30,1,29,1,28,1,6,1,29,1,6,1,30,1,7,1,9,1,8,1,9,2,11,1,10,3,17,1,9,1,11,1,12,3,11,1,9,1,12,1,11,1,12,1,9,1,13,1,10,1,13,1,9,3,13,1,8,1,9,2,11,1,17,11,11,1,17,1,16,1,12,1,24,1,12,1,24,1,9,2,24,3,7,1,10,1,13,2,29,1,6,2,7,1,6,1,29,1,28,3,6,1,28,1,30,2,28,1,29,1,30,1,29,1,25,1,28,1,29,1,6,1,8,1,26,1,27,2,30,1,29,1,25,3,8,1,7,1,25,2,24,4,8,1,10,1,7,1,8,1,12,1,24,1,17,1,24,1,12,3,17,1,12,2,17,4,12,1,17,2,24,1,12,2,24,1,12,1,10,1,8,1,10,1,24,4,9,1,12,1,24,6,8,2,12,1,24,3,8,1,12,1,17,1,12,1,17,1,12,2,9,1,12,1,24,1,17,1,12,1,17,2,9,1,10,1,12,3,8,1,11,1,17,6,12,1,9,1,12,1,9,1,10,1,24,2,9,1,10,1,17,1,12,1,11,1,10,1,17,3,9,1,11,1,17,2,16,1,17,1,9,1,17,2,9,1,17,8,12,2,11,1,17,1,10,1,17,1,11,1,17,1,10,1,17,20,16,2,17,15,12,1,17,1,11,1,12,1,24,1,9,1,8,1,13,1,7,1,13,3,7,1,29,1,6,1,30,1,6,2,29,1,6,2,30,1,6,1,29,1,30,1,28,1,29,1,28,3,30,1,28,10,30,1,28,3,30,1,28,1,29,1,30,1,28,1,6,1,28,1,29,1,6,1,24,2,12,2,17,1,11,1,17,1,12,2,8,1,10,1,9,1,17,1,9,1,17,4,11,1,10,1,9,1,8,1,6,2,25,1,27,1,25,2,27,1,6,2,25,1,13,3,9,1,7,1,8,1,7,1,13,1,8,2,13,1,8,1,9,1,10,1,13,1,8,2,24,2,8,1,9,1,8,1,24,1,8,2,6,1,29,1,30,1,27,2,29,1,28,1,24,2,8,1,24,2,17,1,24,1,17,2,12,1,24,7,8,1,24,8,12,2,17,2,12,1,24,1,9,1,10,1,17,1,10,1,12,1,17,1,9,1,12,2,10,1,24,1,12,1,10,1,12,1,17,4,11,1,17,25,11,1,17,1,11,2,17,28,11,1,17,12,11,1,17,1,12,1,11,1,17,1,11,1,17,2,11,3,17,1,12,1,17,1,11,1,12,2,17,1,12,1,17,9,11,1,17,2,12,1,11,1,12,1,17,1,11,1,17,2,12,1,17,5,11,1,17,3,12,1,17,6,12,1,17,4,12,2,17,5,11,1,17,1,11,1,12,1,17,3,12,1,17,2,12,1,17,6,11,1,12,2,17,2,12,3,17,2,12,6,11,1,17,4,12,2,17,2,12,1,11,1,12,1,17,3,12,1,17,1,12,2,11,1,10,1,17,2,9,1,12,1,17,1,10,1,11,1,12,1,9,1,10,1,11,1,10,1,9,1,12,1,10,1,17,1,12,1,9,1,11,1,12,1,11,2,17,27,8,2,13,2,7,1,8,1,24,1,8,1,10,2,11,2,12,1,17,2,12,1,17,7,12,1,10,1,30,1,28,12,13,1,17,5,9,1,11,2,9,1,13,1,8,1,13,1,9,2,17,2,16,1,17,2,13,1,28,5,17,2,11,1,8,1,6,1,7,1,13,1,29,1,30,1,28,19,}, {28,1,6,2,13,1,29,1,13,1,30,2,29,1,13,1,28,1,30,1,28,3,30,1,28,4,30,1,28,4,30,3,13,2,8,2,7,1,9,1,12,1,9,1,7,1,30,1,28,1,30,1,28,2,8,1,17,2,13,1,10,1,12,1,15,1,10,1,24,2,13,1,8,1,7,1,13,1,12,1,16,1,9,1,8,1,7,2,8,1,6,1,8,1,11,1,9,2,12,1,9,1,24,1,13,2,7,1,8,1,17,3,11,1,8,1,13,2,17,2,8,1,30,1,28,1,6,1,28,1,6,1,28,4,30,1,28,15,29,1,7,1,8,2,12,1,17,2,16,1,9,1,13,2,30,1,29,1,13,1,30,1,9,2,24,1,12,1,9,1,7,1,6,1,30,1,29,1,13,2,28,1,30,2,6,2,13,1,24,2,11,1,28,16,13,1,5,18,33,243,5,821,28,3,30,2,28,1,30,2,13,3,28,5,30,1,28,4,30,3,7,1,8,2,9,1,13,1,8,2,7,1,8,1,6,1,13,1,6,1,7,1,13,1,6,1,13,1,7,2,13,1,6,1,13,3,30,1,29,2,30,1,29,2,28,1,30,1,28,4,29,1,8,2,7,1,13,1,6,1,24,1,7,1,13,1,7,2,13,1,8,1,9,1,10,1,11,1,12,1,17,27,12,2,11,2,10,1,17,3,12,1,8,1,13,1,6,1,13,1,6,1,8,1,17,2,29,1,28,15,29,1,28,1,30,1,28,2,29,1,28,58,30,1,28,1,30,1,28,1,6,2,30,2,6,1,30,1,13,2,9,1,16,3,11,1,13,1,16,2,9,4,8,1,13,1,17,2,28,1,29,1,7,1,9,1,10,1,24,1,9,1,17,1,12,1,17,1,12,2,17,3,12,1,17,5,12,5,17,10,12,2,17,1,12,2,17,1,12,1,17,1,12,2,17,1,10,1,11,1,10,1,9,1,11,1,12,1,17,1,12,2,24,1,8,1,24,1,29,1,28,111,30,2,7,1,30,1,6,1,29,1,30,1,7,1,29,1,6,1,13,2,24,1,9,1,17,1,9,1,8,1,12,1,17,2,12,1,11,1,9,1,10,1,17,1,12,1,10,1,11,1,10,1,11,1,9,1,11,1,13,1,8,1,9,1,8,2,13,1,9,1,13,3,11,2,17,9,11,1,16,1,12,1,17,1,9,1,17,1,10,1,9,1,10,1,9,1,13,1,10,1,8,1,13,1,7,1,8,2,6,4,7,1,6,1,29,1,30,1,6,1,29,2,27,1,30,2,29,1,27,1,25,1,8,1,26,1,25,1,8,1,25,1,27,1,25,2,8,1,25,1,8,1,24,1,25,1,24,1,7,1,24,1,10,1,24,1,10,1,24,1,10,1,12,1,17,1,24,1,12,2,10,1,12,1,9,1,12,1,17,1,12,1,17,7,10,1,17,1,24,1,10,3,24,3,10,1,24,1,8,2,24,1,8,1,24,2,8,1,24,2,8,1,24,1,25,1,8,1,9,2,24,1,17,1,24,1,17,1,8,1,10,1,12,1,10,1,9,1,12,1,24,1,12,2,10,1,17,2,12,1,10,1,17,1,9,1,12,2,8,1,12,1,17,2,12,1,17,1,12,1,10,1,13,1,8,1,9,1,13,1,8,1,9,1,11,1,17,4,10,1,11,2,12,3,17,1,11,1,12,1,9,1,17,1,12,1,11,1,12,1,17,1,10,1,17,1,10,1,17,3,11,1,17,1,12,2,17,1,12,1,11,1,10,1,17,3,16,1,17,4,16,1,17,17,16,1,17,5,16,1,17,9,12,1,9,2,11,1,13,3,8,1,13,1,7,1,6,3,28,1,7,1,28,1,30,2,6,1,7,1,28,1,7,1,30,2,29,1,6,2,30,1,28,11,29,1,30,1,28,5,6,2,7,2,13,1,24,1,12,2,17,1,10,2,9,1,12,1,10,1,9,1,12,3,17,1,11,1,17,2,11,1,10,1,9,1,12,1,8,1,29,1,6,1,25,2,30,1,6,1,7,1,8,1,7,1,13,1,6,1,8,1,13,1,8,1,6,1,8,1,7,2,13,2,8,2,13,2,24,1,8,3,9,1,8,4,7,1,6,1,7,1,6,1,30,1,6,1,30,1,29,1,25,1,8,2,24,1,8,1,24,1,12,1,17,3,8,2,26,1,25,1,14,1,12,1,24,6,12,2,24,1,17,1,25,1,12,2,24,1,12,1,17,1,24,2,12,1,17,2,15,1,17,1,15,1,12,2,15,1,17,1,12,1,10,1,17,7,12,2,17,1,12,1,11,1,17,22,12,1,11,1,17,28,12,1,17,8,12,1,17,4,11,1,12,2,11,1,17,2,11,1,12,2,17,1,11,1,17,1,12,1,17,1,12,1,11,1,17,1,11,1,17,1,12,1,17,1,11,2,17,1,12,1,17,2,12,2,9,1,17,2,12,2,17,4,12,1,17,3,11,1,17,1,12,1,17,14,12,1,17,2,11,1,12,1,17,4,12,1,10,1,17,3,11,1,17,6,11,1,17,4,12,1,17,1,12,2,11,1,17,3,12,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,11,2,17,5,12,1,17,6,11,2,17,1,9,1,11,1,17,4,11,1,17,2,10,1,9,1,11,2,12,1,11,2,10,1,12,1,11,1,17,1,11,2,10,1,11,1,12,1,17,24,9,2,8,1,13,2,8,1,24,1,13,1,9,1,10,2,12,1,17,6,12,1,17,1,11,1,17,1,12,1,11,1,6,1,28,12,13,1,17,2,16,1,17,3,11,1,9,1,11,1,9,1,13,1,8,1,9,1,13,1,17,4,12,1,6,1,28,4,6,1,17,1,11,1,12,1,13,2,6,1,7,1,6,1,13,1,28,19,}, {7,1,6,2,30,2,28,1,29,1,28,1,30,1,6,3,30,2,28,1,29,1,28,1,30,2,28,7,6,1,28,1,13,1,24,1,6,1,13,1,24,1,10,1,12,1,8,1,6,1,30,1,28,2,6,1,28,1,13,1,17,2,16,1,8,1,10,1,24,1,8,1,13,1,7,1,8,1,13,3,16,2,10,1,6,1,24,1,6,1,7,1,6,1,9,1,17,2,12,1,9,1,8,1,13,1,7,1,13,2,7,1,17,3,9,1,13,1,8,1,29,1,8,1,17,1,9,1,28,1,6,1,29,1,6,1,30,1,29,1,28,20,8,1,6,1,9,1,24,1,12,1,9,1,17,1,10,1,7,1,13,1,6,3,30,1,9,1,8,1,16,1,24,2,6,2,29,2,30,4,13,1,30,1,6,1,8,3,11,1,6,1,28,10,30,1,28,4,13,2,5,11,33,249,5,820,6,1,28,6,30,2,13,1,6,1,30,1,28,2,30,1,28,2,30,1,28,5,6,1,7,1,13,1,7,1,9,1,13,1,24,2,8,1,24,1,7,1,13,3,7,1,6,2,13,1,7,1,13,1,6,1,13,2,6,1,30,2,6,1,28,1,30,3,6,1,28,4,30,2,8,1,9,1,13,2,29,1,7,1,8,1,13,1,29,1,9,3,12,1,17,2,12,1,17,17,12,1,17,11,12,1,17,1,11,1,17,7,6,1,9,1,17,1,8,1,30,1,28,14,30,2,28,1,29,1,28,1,30,1,7,1,28,66,30,1,6,1,28,1,13,1,16,1,9,2,13,1,28,1,13,1,9,1,17,1,16,1,11,1,16,1,11,1,16,2,11,1,17,2,28,2,29,1,13,1,10,1,9,2,12,1,9,1,12,3,17,2,12,1,17,1,12,3,17,9,12,1,17,11,12,5,17,1,11,1,12,1,17,1,10,1,12,1,10,1,11,1,9,2,24,1,8,1,7,3,29,1,28,110,30,1,28,1,6,1,28,1,13,1,28,1,6,1,29,1,6,1,13,1,9,2,13,1,9,2,11,1,17,1,10,1,17,2,10,1,17,3,12,2,9,1,10,1,11,1,9,2,8,1,9,1,10,1,13,2,8,4,9,1,13,2,9,1,17,7,12,2,11,1,12,1,17,1,9,1,10,1,24,1,9,1,24,1,10,1,9,1,12,1,9,1,24,1,8,1,24,1,7,2,8,1,7,1,8,1,7,1,6,1,7,2,6,1,25,1,29,1,6,1,25,1,26,1,6,1,27,1,26,1,29,2,25,1,24,1,26,2,25,1,29,1,26,2,25,1,26,2,29,1,8,1,24,1,10,1,24,3,10,1,24,1,9,1,24,1,10,2,24,1,9,1,17,1,11,1,17,3,12,1,17,4,12,1,17,1,12,1,9,1,17,1,10,1,17,1,24,1,12,1,24,1,12,1,7,1,10,1,12,1,8,1,24,1,8,1,10,2,24,1,8,1,24,1,8,1,24,1,25,1,24,1,13,1,24,3,12,2,24,1,12,1,10,1,17,1,24,1,12,2,9,1,17,4,9,1,17,2,12,1,11,2,17,2,8,1,12,1,17,1,12,1,10,1,8,1,12,1,24,3,12,1,9,2,17,4,11,1,12,1,10,1,17,2,11,2,17,1,12,1,17,1,12,1,11,1,16,2,11,1,17,2,11,1,9,1,12,2,17,1,10,1,12,1,11,1,17,1,11,1,12,2,11,1,17,2,12,1,17,23,16,1,17,7,16,1,17,3,11,2,10,1,11,1,17,2,12,1,9,1,13,1,9,1,13,4,6,1,29,2,6,2,29,1,30,1,28,1,29,1,6,1,7,1,6,1,13,1,28,1,13,1,6,1,28,1,30,1,28,1,6,1,28,9,30,1,29,1,28,1,30,3,6,1,7,1,13,2,24,1,12,4,17,1,10,1,11,2,9,1,10,1,12,1,11,1,10,1,11,1,9,1,17,3,11,1,17,1,9,1,13,4,25,1,7,2,6,1,8,1,7,1,13,1,6,1,8,1,13,1,8,2,7,1,8,1,13,1,8,1,13,3,6,3,9,1,8,1,24,1,13,2,8,1,9,1,8,2,13,2,6,1,7,2,30,2,24,2,8,1,25,2,8,2,10,1,15,1,12,1,24,1,25,1,24,1,27,1,15,1,24,4,8,1,24,3,12,2,15,1,12,1,17,1,24,3,25,1,24,1,17,1,24,1,8,1,24,1,12,1,24,1,12,1,24,1,12,1,15,1,12,1,24,1,12,1,17,10,12,1,9,1,17,19,12,1,17,1,11,1,12,4,17,33,12,1,17,4,12,1,11,1,17,4,11,1,17,3,11,1,17,3,10,1,11,1,10,1,11,1,17,4,11,1,12,1,11,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,12,1,11,1,12,3,17,5,12,1,17,15,12,1,11,1,17,1,12,1,17,1,12,1,11,1,17,6,12,3,17,1,12,3,17,3,11,1,17,2,12,1,11,1,12,1,11,1,17,4,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,2,10,1,11,1,10,1,12,1,17,1,12,1,17,7,12,1,17,1,11,1,17,1,12,1,11,1,12,1,11,1,12,1,11,2,17,2,12,2,17,2,10,1,11,1,17,1,9,1,11,3,17,1,11,1,12,1,11,1,12,1,10,1,12,3,11,1,17,23,12,1,9,1,8,1,7,2,8,4,9,1,12,2,11,1,17,1,12,1,17,1,12,1,17,5,11,1,9,1,28,13,13,1,17,6,11,1,16,1,9,5,12,1,17,4,16,1,6,1,28,4,6,1,17,2,11,1,13,2,6,2,13,1,30,1,28,15,30,1,29,1,30,1,28,1,}, {6,1,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,4,29,1,28,2,30,2,28,9,6,2,8,1,29,1,8,1,9,1,10,1,15,1,24,1,8,1,28,1,30,1,29,1,30,1,28,1,13,1,17,2,9,1,8,1,10,1,8,3,24,1,6,2,30,1,6,1,12,1,16,1,9,1,6,1,13,1,6,1,7,1,13,2,12,1,17,2,9,1,8,1,7,1,13,1,7,1,13,2,11,1,16,1,17,1,16,1,13,1,7,1,6,1,10,1,14,1,9,1,13,1,6,2,13,1,30,1,28,21,13,2,8,1,9,1,12,2,17,1,12,1,8,1,7,1,6,1,30,1,7,1,13,2,9,1,10,1,8,1,15,1,13,1,6,1,8,1,28,1,29,1,13,1,6,1,30,3,6,2,13,1,24,1,9,1,13,1,28,2,30,1,28,12,9,1,33,1,5,7,33,253,5,820,6,1,28,3,30,1,28,2,13,1,7,1,13,2,28,6,30,1,28,4,7,1,30,1,6,1,13,4,8,1,13,2,7,2,13,1,6,1,13,3,6,2,13,1,6,1,29,1,6,1,30,3,7,1,6,2,28,1,30,1,28,5,6,1,30,1,28,1,9,1,8,2,7,1,13,2,7,1,13,1,8,1,9,1,24,1,9,1,10,1,12,1,17,13,12,1,17,17,12,1,17,3,12,1,11,2,10,1,11,1,17,3,28,4,30,1,28,14,30,2,28,1,13,1,28,42,30,1,28,19,30,1,28,2,6,1,28,1,13,2,11,2,9,1,13,1,9,1,6,1,13,2,9,1,16,1,17,1,10,1,16,1,11,5,17,1,28,4,6,1,7,1,13,1,10,2,9,1,12,6,17,1,11,1,17,3,12,1,17,1,12,1,17,1,12,1,17,6,12,1,17,5,12,1,17,3,10,1,11,1,12,3,10,1,9,1,8,1,10,1,9,1,12,1,9,1,10,1,24,2,8,1,13,1,6,1,30,1,28,109,29,1,28,1,29,1,30,1,6,2,28,1,13,1,28,1,6,1,7,1,8,1,13,2,9,1,8,1,12,1,11,1,17,5,12,1,17,3,10,2,9,1,10,2,8,1,11,1,9,1,13,1,9,1,13,1,8,2,13,1,8,2,9,2,17,4,9,2,17,1,9,1,12,2,17,1,12,2,17,1,12,2,8,1,9,1,24,1,9,1,24,1,9,1,13,1,24,1,13,2,8,1,6,1,8,1,13,1,8,2,6,1,26,2,25,1,8,1,26,1,29,1,26,1,30,1,26,1,8,1,26,1,24,1,25,1,26,1,27,1,25,1,26,1,25,3,24,1,8,1,24,1,13,1,8,1,24,2,12,1,24,1,12,4,9,1,10,1,17,1,12,2,24,1,17,2,12,1,17,5,12,5,17,1,10,1,24,3,12,1,8,1,24,1,8,1,25,1,24,1,8,1,24,1,8,2,12,1,26,1,25,2,24,1,8,1,10,1,24,1,12,2,24,1,12,2,24,1,9,1,12,1,10,1,12,1,9,1,12,2,17,1,10,1,17,1,12,1,17,2,12,2,11,1,10,1,12,2,17,3,9,1,10,1,24,1,9,1,8,2,24,1,9,2,17,4,12,1,17,1,10,1,11,1,17,1,9,1,11,1,16,1,12,1,10,1,9,1,10,1,11,1,12,1,10,1,24,1,12,1,17,2,9,1,12,2,9,1,10,1,9,1,12,1,17,1,10,1,11,1,17,1,12,1,17,22,16,2,17,1,16,1,17,1,16,1,17,7,16,2,11,3,10,1,11,3,10,1,9,1,10,1,12,1,11,1,13,2,8,1,7,3,29,1,6,2,30,1,7,1,13,1,6,1,13,1,6,2,24,1,29,1,28,2,29,1,7,1,29,1,28,7,7,1,29,3,28,1,30,1,29,1,6,1,7,1,8,1,24,1,17,1,12,1,17,5,10,1,12,1,17,1,12,1,11,1,12,1,10,1,12,1,8,1,17,2,16,1,12,1,11,2,9,1,13,2,7,4,13,1,24,1,7,2,13,1,7,2,13,1,7,1,8,1,13,3,8,1,24,1,6,1,13,1,24,1,13,1,9,1,13,1,24,1,8,2,13,1,24,1,7,1,8,1,7,2,13,1,6,1,7,1,25,1,8,1,12,1,24,1,8,1,24,4,15,1,24,1,8,1,25,1,27,1,24,1,25,1,24,1,25,1,24,1,25,1,24,1,25,1,24,4,15,1,17,1,24,1,12,1,24,3,12,1,24,8,12,1,24,1,12,4,10,1,17,5,12,1,17,1,8,1,24,1,10,1,17,21,12,1,17,3,12,3,17,31,12,1,17,1,12,1,17,4,12,2,17,1,11,1,17,1,11,1,17,2,11,1,17,1,11,3,17,2,11,1,17,2,11,1,12,1,17,1,11,2,12,2,17,1,11,1,17,2,11,6,12,1,17,3,12,1,17,2,12,1,11,1,17,14,12,1,17,2,12,1,17,2,11,2,12,1,17,1,12,1,17,1,12,3,17,2,12,4,17,5,11,1,17,2,11,1,17,1,11,1,17,2,11,1,17,1,11,3,17,1,12,2,17,1,12,1,17,1,11,1,17,1,11,1,17,13,11,1,17,1,12,2,11,1,17,6,11,2,17,1,10,1,12,1,11,1,12,1,11,1,12,1,11,1,17,1,11,4,12,1,11,2,12,1,11,2,12,2,17,17,12,1,10,1,12,1,10,1,13,2,6,1,7,1,8,2,11,1,9,1,10,1,11,1,17,9,9,1,30,1,28,12,9,1,17,6,16,1,12,2,13,1,11,1,17,2,12,1,17,4,11,1,6,1,28,4,13,1,14,1,16,1,11,1,6,1,7,1,13,1,6,1,13,1,28,9,6,1,30,1,28,6,6,1,28,1,6,1,}, {28,1,29,1,13,1,6,1,28,1,29,1,28,12,30,1,28,6,30,1,28,1,30,1,7,1,13,2,30,1,13,1,9,1,14,1,9,1,29,2,30,2,28,2,6,1,17,3,11,1,24,1,8,1,9,1,8,1,13,1,8,1,13,1,7,1,6,1,12,1,14,1,8,1,13,3,6,2,8,1,17,2,16,1,9,2,7,1,13,1,6,3,9,1,17,1,14,1,15,1,8,1,13,2,9,1,17,1,9,1,13,1,28,1,6,2,28,1,30,1,28,5,30,1,28,14,6,1,8,3,12,1,11,1,16,1,12,1,6,1,8,1,13,1,7,1,13,2,24,1,12,2,15,1,8,3,29,1,13,1,7,1,6,3,29,1,7,1,13,2,8,1,6,1,10,1,13,1,28,7,29,1,28,3,30,1,28,3,9,1,5,4,33,1,5,1,33,256,5,818,30,1,28,4,30,1,13,1,29,1,7,2,6,1,7,1,30,1,6,2,28,2,30,1,28,3,30,1,28,1,29,1,6,1,13,1,7,1,8,1,13,1,9,1,24,1,13,1,8,1,6,1,7,1,8,1,7,2,29,1,13,1,7,1,8,1,13,1,6,1,7,1,13,1,7,1,6,2,30,1,28,1,6,1,30,1,28,5,30,1,7,1,6,1,30,1,8,3,13,1,8,1,13,1,6,1,13,1,9,1,24,1,9,1,10,1,12,1,17,35,12,1,17,2,11,2,17,2,7,1,28,2,29,1,28,19,6,1,28,46,13,1,28,17,30,1,13,1,30,1,13,1,9,3,13,5,9,1,6,1,9,1,17,2,11,1,16,1,11,1,16,2,11,1,17,2,28,5,7,2,13,1,24,2,12,1,10,1,17,1,12,1,10,1,12,2,9,1,17,2,10,1,17,8,12,2,17,1,12,1,17,2,10,1,17,3,9,1,17,1,11,1,17,1,9,1,12,3,9,2,10,1,24,1,10,1,9,1,24,2,8,1,13,2,6,2,28,110,13,1,28,1,6,1,30,3,13,1,7,1,13,1,7,1,13,1,10,1,9,2,12,1,10,1,9,1,17,6,11,1,17,1,10,1,17,1,12,1,11,1,12,1,11,1,10,1,9,2,8,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,2,17,7,10,1,17,1,12,1,17,1,11,1,10,1,17,1,12,1,24,1,9,1,12,1,10,1,24,2,12,1,24,1,13,1,24,1,13,2,8,1,24,1,7,1,8,1,25,1,8,2,25,1,26,2,29,1,25,2,26,1,6,2,29,1,25,1,26,1,25,1,8,1,27,1,25,1,8,1,25,1,8,2,24,1,8,1,10,1,24,3,17,1,10,1,24,1,12,1,24,1,17,1,10,2,24,1,10,1,9,1,17,1,12,1,17,1,12,1,17,4,10,2,12,2,10,1,12,2,24,1,17,1,24,5,8,2,10,1,25,1,24,3,8,1,25,1,24,1,8,1,25,1,24,2,8,1,12,2,24,1,17,1,10,1,12,5,17,1,12,1,17,2,24,1,17,2,12,3,9,1,17,1,9,1,11,1,10,1,17,2,10,1,24,1,8,1,12,1,24,2,8,1,10,1,7,1,12,2,9,1,8,1,11,1,10,1,12,2,24,1,9,1,16,1,11,1,9,1,8,1,12,1,11,1,9,1,12,1,17,2,11,1,17,1,12,1,9,2,11,1,10,1,8,1,24,1,9,1,11,1,10,1,17,1,8,1,17,3,12,1,17,1,12,2,17,17,11,1,16,2,17,1,16,1,17,4,16,1,17,2,16,1,11,1,16,1,17,1,16,2,11,1,17,2,10,2,11,2,17,5,11,1,8,1,13,2,7,2,29,1,6,1,29,1,6,1,7,1,8,1,13,1,30,1,28,3,6,1,7,1,29,1,30,1,28,7,30,1,29,1,6,1,30,3,6,1,7,1,24,2,12,1,9,1,17,5,12,1,10,1,17,1,9,1,11,1,9,1,10,1,12,1,9,1,11,1,17,1,16,1,17,3,9,1,13,1,24,1,7,1,8,2,13,1,8,2,13,3,8,1,7,1,8,1,10,1,24,4,8,1,24,1,13,1,8,1,13,1,8,3,13,1,8,1,24,1,13,2,9,1,7,1,24,1,7,3,8,1,24,1,17,1,24,1,12,1,8,3,24,1,12,1,24,1,12,1,24,12,8,1,24,4,12,1,24,2,10,1,25,1,12,1,24,1,25,2,26,1,25,1,27,1,24,3,8,1,24,2,12,1,10,1,17,2,12,1,17,1,12,1,17,3,12,1,9,1,17,1,12,2,24,1,12,1,17,20,11,1,12,1,11,2,12,3,17,20,16,1,17,5,16,1,17,2,11,2,17,1,16,1,17,3,11,1,17,3,12,1,17,2,11,1,17,3,11,1,12,1,17,1,11,1,12,1,17,1,11,1,12,1,10,1,17,1,12,1,17,2,11,1,17,1,11,1,17,1,12,3,11,4,12,1,17,2,12,1,17,2,11,1,17,5,11,1,17,10,12,2,17,1,12,2,11,1,12,1,17,4,12,2,17,2,12,2,11,1,12,1,17,1,12,1,10,1,17,2,10,1,17,1,11,1,17,3,10,1,17,1,12,1,11,1,17,1,11,1,17,1,11,1,12,2,17,3,12,1,17,17,12,2,17,4,11,1,17,1,12,1,17,2,12,1,11,1,17,1,12,1,11,2,12,1,11,2,12,1,11,1,9,1,11,1,12,1,17,1,10,1,11,1,10,1,12,1,11,2,12,1,10,1,12,1,17,15,12,1,11,1,9,1,8,1,10,1,13,2,8,3,24,1,12,1,17,3,12,1,17,3,11,1,17,3,11,1,13,1,28,5,30,2,28,4,29,1,9,1,17,10,16,1,11,2,17,6,6,1,28,4,13,1,17,3,9,1,8,1,10,1,13,1,8,1,13,1,28,2,30,2,28,4,6,2,29,1,28,5,30,1,28,1,30,1,}, {6,2,28,1,13,1,28,1,6,1,28,1,6,1,28,2,30,1,28,9,30,1,28,4,30,1,28,1,30,1,28,1,6,1,13,1,7,1,8,1,15,2,11,1,6,1,30,3,28,1,30,1,29,1,17,2,16,1,13,1,24,1,9,1,8,2,15,1,13,2,24,1,13,1,14,1,15,1,9,1,13,4,8,1,13,1,17,1,16,1,9,1,8,1,10,1,8,1,30,1,6,1,13,1,8,2,17,2,11,1,13,1,6,1,9,1,13,1,14,1,15,1,13,1,29,3,28,22,6,1,13,1,24,1,10,1,17,3,9,1,8,1,6,1,8,1,6,1,7,1,13,1,8,1,15,1,11,1,15,1,12,1,13,1,24,1,6,1,13,1,6,1,29,2,7,1,28,1,7,1,8,1,6,1,13,2,24,1,6,1,30,1,28,14,13,1,5,1,33,262,5,817,28,1,30,1,28,1,29,1,30,1,6,1,30,2,13,4,29,1,6,1,28,1,30,2,29,1,6,1,28,1,30,2,29,1,6,1,13,2,8,1,9,1,13,1,8,1,10,1,9,1,6,1,28,1,8,1,13,1,29,1,13,2,8,1,7,1,13,1,6,2,7,1,6,2,30,1,29,1,30,1,28,1,30,1,28,1,6,1,28,3,30,1,28,1,29,1,28,1,7,1,8,1,13,2,6,1,8,1,13,1,6,1,8,2,9,1,12,4,17,18,11,1,17,15,11,1,12,1,11,1,17,2,12,1,8,1,28,19,30,1,28,2,7,1,28,45,6,1,30,1,6,1,13,1,28,2,6,2,28,1,30,1,6,1,30,1,28,2,30,1,28,4,13,4,9,1,13,5,6,1,13,1,9,2,13,1,16,2,11,1,10,1,16,1,9,1,16,2,9,1,17,1,13,1,28,4,30,1,28,1,29,1,6,1,8,2,24,1,8,1,10,1,12,1,10,1,24,1,12,1,17,1,11,1,17,1,12,1,17,11,10,1,17,1,12,2,17,2,12,1,17,2,11,1,17,1,10,2,12,1,24,2,10,2,24,1,9,1,10,2,8,3,13,1,7,1,29,1,28,111,30,1,28,1,30,2,28,1,13,1,28,1,30,1,6,1,7,1,13,1,24,1,8,1,11,1,10,1,17,6,12,1,17,3,10,1,11,2,12,1,11,1,10,2,9,2,13,1,8,2,9,1,8,1,9,1,8,1,9,1,8,2,10,1,17,2,11,1,17,3,9,1,12,1,17,3,12,1,9,1,12,1,10,1,24,1,8,1,24,1,8,1,10,1,9,1,24,1,8,1,10,1,13,1,24,2,8,2,7,1,25,1,8,1,25,2,8,1,25,1,8,1,29,1,7,1,8,1,25,1,8,2,26,1,25,1,26,1,27,1,25,1,29,1,24,1,6,1,8,3,24,1,8,1,17,1,24,1,9,1,12,4,10,2,12,1,9,1,12,1,10,1,17,2,12,1,17,2,12,1,17,2,10,1,12,1,17,1,12,1,9,1,24,1,17,1,9,1,12,1,24,1,12,2,24,2,10,2,8,1,24,1,8,1,12,1,24,2,8,1,24,2,26,1,24,1,10,1,8,1,9,1,12,1,9,2,10,1,12,1,17,1,10,2,11,1,9,1,17,1,12,2,9,1,17,1,12,1,11,1,17,1,10,1,17,1,12,1,17,1,11,1,17,2,9,1,17,3,9,1,13,1,24,1,8,1,10,1,24,3,8,1,9,4,24,1,10,1,12,2,11,1,9,1,11,1,9,1,10,1,17,1,10,1,11,1,12,1,10,1,17,1,12,2,9,1,11,1,10,1,17,3,10,2,12,2,9,1,12,1,17,1,11,1,17,24,16,1,17,4,11,1,17,4,16,3,11,2,16,2,11,1,16,1,11,3,16,3,12,1,17,3,12,1,17,1,11,1,9,1,6,2,7,1,6,1,7,1,9,1,8,1,7,1,28,2,30,1,7,1,29,1,30,1,29,1,28,5,29,1,6,1,30,1,6,1,28,1,30,1,28,2,6,1,7,1,13,1,9,1,12,1,17,6,12,2,17,1,10,2,9,1,17,1,9,1,12,1,9,1,17,4,11,2,8,2,13,2,8,1,7,2,13,2,8,3,13,1,24,1,9,1,8,2,9,1,8,4,24,1,9,1,13,2,8,1,9,1,8,2,24,1,8,1,13,3,24,1,8,1,17,3,12,1,24,1,12,1,24,5,12,1,10,1,12,1,25,2,24,1,25,2,24,8,25,1,17,1,12,1,24,2,12,1,10,1,15,1,10,1,24,2,25,1,29,1,25,1,8,1,25,1,24,2,25,1,24,1,8,1,24,1,25,1,24,1,15,1,24,3,17,1,15,1,17,2,10,1,12,1,9,1,17,1,12,1,11,1,12,1,17,22,12,1,11,1,12,1,17,1,12,3,17,15,16,1,17,2,16,1,17,16,12,3,17,1,12,1,17,1,11,2,17,1,10,1,11,1,17,1,11,2,17,1,10,1,17,2,11,1,17,1,12,1,17,2,12,1,11,1,17,1,12,1,17,2,12,4,17,26,10,1,17,1,10,2,12,1,17,1,11,1,17,3,11,1,12,1,11,1,17,1,11,1,17,1,12,4,11,1,10,1,9,1,12,2,17,1,11,1,17,1,11,1,17,1,12,3,11,3,17,1,12,2,17,5,12,1,17,4,12,1,17,4,12,1,17,2,12,1,17,1,12,1,17,1,12,2,17,2,12,1,17,5,11,2,17,1,11,1,12,1,11,1,17,1,11,2,10,1,11,1,17,1,11,1,12,1,11,1,12,1,11,1,10,1,11,1,12,2,11,1,12,1,11,1,17,14,12,3,10,1,9,1,8,1,7,1,6,1,9,1,8,1,13,1,9,1,10,1,11,1,17,9,13,2,30,1,28,1,29,1,28,3,30,1,28,1,6,1,29,1,6,1,11,1,17,8,16,1,11,1,8,1,12,2,17,6,13,1,29,1,28,1,30,1,28,1,13,1,17,1,16,1,9,1,13,2,8,1,9,1,13,2,28,1,29,1,28,7,13,1,30,1,28,8,}, {6,2,28,1,30,1,29,1,30,1,28,21,29,1,28,1,7,1,6,1,13,1,8,1,15,1,17,1,8,1,13,1,28,1,30,1,28,3,6,1,17,3,13,1,9,1,8,1,13,1,10,1,24,1,8,1,24,1,13,1,8,1,24,1,14,1,9,1,29,1,13,2,6,1,8,1,7,1,9,1,11,1,17,1,8,1,7,1,13,1,6,1,13,1,6,1,29,1,8,1,17,3,24,1,6,1,13,1,8,1,16,1,9,1,30,1,28,25,30,1,13,1,8,3,9,1,10,1,9,1,13,1,6,1,13,4,8,1,12,1,9,1,12,1,10,1,8,1,13,3,7,1,6,1,30,1,7,1,6,1,28,1,30,1,13,3,10,1,29,1,28,15,30,1,5,1,33,263,5,815,28,5,30,4,13,1,6,1,13,1,8,1,13,1,6,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,13,1,7,2,8,1,13,1,7,1,11,1,13,5,7,1,6,1,8,1,13,2,6,1,7,1,13,1,30,1,13,1,7,1,6,1,29,1,30,2,28,1,29,1,28,5,30,1,28,1,13,2,9,2,10,1,13,2,6,1,9,1,13,2,10,1,24,1,10,1,11,2,17,3,12,1,17,16,12,1,17,1,12,1,17,5,12,2,17,4,11,4,12,1,9,1,6,1,30,2,28,1,30,1,27,1,28,18,30,1,28,46,30,1,13,1,6,1,13,2,6,2,30,4,13,1,6,1,7,1,6,1,13,1,11,1,13,3,6,1,13,9,11,2,13,1,16,1,17,1,16,1,10,1,11,2,16,2,9,1,11,1,17,1,13,1,28,5,30,1,29,1,28,1,6,1,13,1,8,1,24,3,10,1,12,1,10,1,12,1,11,2,12,1,10,1,11,1,17,7,12,1,17,1,12,1,11,1,17,1,12,1,17,1,12,1,17,1,11,2,17,1,10,1,9,1,10,2,9,1,12,1,24,2,8,1,24,2,8,1,13,2,7,1,8,1,6,1,28,1,29,1,28,113,29,1,28,2,6,1,13,1,7,1,13,1,8,1,13,1,9,1,12,4,17,6,12,1,17,1,12,1,17,1,12,1,11,1,17,1,11,2,8,1,9,4,13,1,9,1,13,1,9,1,8,1,9,1,8,1,11,1,9,1,17,1,11,1,12,1,17,2,24,1,17,1,10,1,12,1,8,1,17,1,9,1,12,2,13,1,10,1,8,2,9,1,24,1,8,1,12,2,8,1,13,1,24,1,9,1,24,1,8,1,24,1,7,1,25,1,8,2,7,1,8,2,25,1,7,1,25,1,26,1,6,1,25,1,8,1,25,3,8,3,25,1,24,1,13,1,12,1,9,1,24,1,12,1,10,1,12,1,24,1,10,1,24,1,9,1,17,1,24,1,12,2,10,1,24,1,10,1,17,6,10,1,17,1,10,2,17,1,12,4,8,1,17,1,13,1,24,3,10,1,24,3,25,1,26,1,8,1,25,1,24,4,8,1,10,1,24,2,10,1,12,1,9,1,24,1,12,1,9,1,12,1,17,1,10,1,17,2,9,1,12,1,17,2,10,1,17,2,10,1,17,1,11,1,17,1,10,1,17,1,12,1,17,1,12,1,24,2,8,1,24,1,7,1,8,1,7,1,8,1,10,1,8,1,24,1,8,1,24,1,8,1,12,1,24,1,9,1,12,1,10,1,17,1,8,1,17,2,9,1,12,1,17,1,12,4,11,1,10,1,9,1,10,1,17,1,13,2,11,2,8,1,24,1,11,1,17,1,11,2,17,22,16,2,17,1,16,5,11,1,16,1,17,1,16,1,17,3,11,1,17,2,11,1,16,4,17,3,16,1,11,1,16,2,11,3,17,3,9,1,13,2,24,1,9,1,24,1,6,1,7,3,6,1,29,1,6,1,28,7,6,1,30,1,6,2,28,1,29,1,30,2,7,1,9,1,12,1,17,1,12,1,17,4,12,1,17,2,12,2,24,1,17,2,11,2,17,3,16,1,17,1,11,2,8,1,13,2,8,1,13,1,8,1,9,1,8,1,6,1,13,1,8,2,24,1,13,1,10,1,9,1,8,1,24,1,8,1,24,1,12,1,9,3,13,1,8,2,7,1,9,1,11,1,8,1,13,1,8,2,7,1,24,1,9,1,10,1,24,1,12,1,24,1,8,1,10,1,24,2,12,1,8,1,12,1,24,4,25,1,12,1,24,4,8,1,24,3,8,1,24,1,12,1,24,1,8,1,24,3,17,1,24,1,8,1,25,1,8,1,24,1,25,1,8,1,26,1,24,3,25,2,8,1,24,5,25,2,12,2,24,1,12,1,10,1,12,4,17,1,12,1,17,2,12,1,17,3,12,1,17,16,11,1,10,2,11,1,17,2,12,1,17,24,16,1,17,2,16,1,17,4,11,1,17,2,11,1,17,1,11,2,10,1,11,2,17,1,11,3,17,2,11,3,17,1,11,1,12,1,17,1,11,1,17,2,11,1,17,5,11,1,17,2,12,1,17,2,12,1,17,13,12,1,17,8,11,2,17,2,12,1,11,1,17,1,11,1,17,2,10,2,17,1,12,3,11,1,12,1,17,1,10,1,17,1,11,1,12,1,11,1,17,1,12,1,11,1,17,2,12,1,11,1,10,1,11,2,10,1,12,2,10,1,11,1,12,1,17,4,11,1,17,2,12,1,17,8,12,2,17,2,12,3,17,1,12,2,11,1,17,2,12,1,10,1,17,1,12,1,10,1,11,2,12,3,11,3,12,1,10,1,17,1,10,1,9,1,12,1,9,1,12,1,9,1,17,1,11,2,17,1,10,1,17,13,12,1,17,1,10,1,12,1,9,1,24,1,8,1,6,1,13,1,8,2,9,1,11,1,12,2,17,8,13,1,28,8,30,1,29,1,6,1,9,1,17,8,11,1,10,1,9,1,13,1,9,1,16,1,11,1,17,5,13,1,28,1,29,1,28,1,30,1,13,1,17,2,12,1,9,2,8,2,13,2,30,1,28,7,29,1,28,10,}, {30,1,6,1,28,5,30,1,28,19,30,1,6,2,7,1,13,1,6,1,9,1,12,1,9,1,8,1,29,1,6,3,28,1,13,1,17,3,7,1,8,1,24,1,9,1,10,1,13,3,6,1,29,1,24,1,14,1,15,1,8,1,7,1,13,4,16,2,17,1,10,1,8,2,9,1,8,1,7,1,8,1,17,4,8,1,9,1,8,2,14,1,15,1,13,1,28,24,30,2,13,2,9,2,12,1,9,1,11,1,9,1,6,2,30,1,29,1,30,1,13,1,8,1,15,1,10,1,13,2,7,1,13,1,29,1,30,1,28,1,30,1,6,1,29,1,30,1,7,1,13,1,6,1,9,1,24,1,13,1,28,7,30,1,28,8,5,1,33,263,5,815,28,5,6,1,30,1,7,1,6,1,7,2,13,2,7,2,28,1,30,1,6,1,28,2,6,1,28,1,7,3,13,1,7,1,13,1,8,1,24,1,9,2,7,1,6,1,13,2,7,1,6,1,13,2,6,1,7,2,6,1,7,1,30,2,7,1,30,3,28,1,6,1,28,5,6,1,13,1,10,1,12,1,8,1,13,6,8,1,10,3,11,1,12,1,17,1,12,1,17,13,12,1,17,19,12,1,11,1,9,1,6,1,30,1,6,1,30,2,28,15,30,1,28,53,7,1,13,2,28,1,6,1,13,1,6,3,30,1,6,1,13,2,30,1,6,4,13,4,6,1,13,2,7,1,6,1,13,1,16,2,9,1,11,1,17,2,9,2,11,5,17,2,13,1,28,6,30,1,28,1,6,1,13,1,8,1,6,1,8,2,24,1,8,1,10,1,8,1,10,1,11,2,10,1,17,1,11,1,17,6,12,2,9,1,17,2,12,1,17,2,12,5,10,1,9,1,17,1,8,1,24,1,10,2,8,2,13,1,24,1,8,1,13,1,8,1,7,1,30,1,6,1,28,1,30,1,28,109,30,3,6,1,28,1,7,3,13,3,8,1,9,1,8,1,10,1,17,1,12,1,17,4,11,1,17,3,11,1,17,1,10,1,12,1,11,2,12,1,10,1,9,2,13,3,9,1,13,2,9,1,8,1,13,1,9,1,17,1,12,1,17,2,11,1,12,3,10,1,12,1,17,2,12,1,8,1,12,1,24,1,10,1,13,1,9,1,8,1,24,1,8,1,24,3,9,1,13,1,24,1,7,1,13,1,8,1,24,3,8,1,24,2,6,1,25,2,26,1,25,1,26,1,25,2,27,1,25,1,26,1,8,1,25,1,24,2,13,1,24,1,10,5,12,2,24,2,17,1,10,1,24,1,12,1,17,1,10,1,17,3,12,1,17,1,12,1,17,2,24,1,10,1,9,1,17,1,12,2,10,1,24,1,17,2,10,1,24,3,8,2,10,1,25,1,24,3,8,1,6,1,24,1,8,1,24,1,7,1,24,1,8,1,9,1,10,1,13,1,12,1,9,1,17,1,11,1,10,1,17,1,12,1,10,1,9,1,17,2,12,4,17,2,10,1,17,1,11,1,17,1,11,1,12,1,17,1,9,1,12,1,24,1,8,1,24,2,8,1,10,1,24,3,13,1,12,1,24,1,9,2,24,1,9,1,24,1,8,1,9,1,24,2,17,1,12,3,17,1,9,1,17,1,9,1,17,2,9,1,11,1,8,1,17,1,9,1,10,2,11,1,9,1,11,2,12,1,17,1,11,1,24,1,10,1,11,1,17,1,11,1,17,20,16,1,11,2,16,1,10,1,11,1,16,2,17,2,16,1,11,1,17,1,16,5,11,1,16,5,17,1,11,1,16,2,11,2,17,5,9,1,11,2,12,2,9,1,7,1,28,1,29,1,6,1,28,7,29,2,6,1,30,3,28,1,30,1,28,1,7,1,8,1,9,1,17,1,12,1,17,4,12,1,17,1,12,1,10,1,11,1,17,1,12,2,9,1,11,2,17,4,11,3,9,2,13,1,8,2,24,1,6,1,13,4,24,1,8,1,10,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,2,24,1,8,3,9,1,8,1,9,1,8,2,12,1,17,2,7,1,25,2,26,1,25,2,12,3,24,3,25,1,24,2,8,2,25,2,8,1,24,13,12,2,24,1,10,1,25,1,24,6,25,2,24,1,8,1,24,1,25,2,24,2,25,1,24,1,25,1,24,2,12,1,24,2,17,1,12,1,17,3,12,1,10,1,9,1,12,1,17,1,11,1,17,2,12,1,11,1,16,1,17,14,12,1,17,3,12,1,17,20,16,1,17,1,16,1,17,14,12,1,11,1,12,1,11,1,17,1,12,3,17,1,11,1,17,1,12,1,11,1,17,1,11,1,12,1,17,1,12,1,17,2,11,2,17,3,12,2,11,1,17,1,11,2,17,2,11,1,17,2,12,1,17,1,12,1,17,15,11,1,17,3,9,1,17,1,12,2,17,1,12,1,17,1,12,1,17,1,11,2,12,1,17,1,10,2,17,1,12,4,11,1,12,1,17,1,11,1,17,4,11,1,12,1,11,1,12,1,11,2,10,1,17,1,11,3,17,6,12,1,11,1,17,1,12,1,17,3,11,1,17,3,12,1,11,2,17,4,11,1,17,2,12,2,17,10,12,2,17,1,12,2,11,4,17,1,10,1,12,1,10,1,11,1,12,1,11,1,12,1,11,1,17,15,12,1,10,1,24,1,13,1,8,1,13,3,8,1,9,1,10,1,17,9,13,1,28,9,30,2,10,1,17,8,12,1,9,1,8,1,9,2,8,1,9,1,17,5,30,1,28,2,29,1,28,1,9,1,17,1,11,1,9,2,8,1,9,1,8,1,9,1,13,1,30,1,28,18,}, {28,2,6,1,29,1,28,3,30,2,28,8,30,1,28,8,6,1,28,1,30,1,29,3,6,1,9,2,12,1,6,2,30,1,29,1,28,1,30,2,17,3,13,1,9,3,8,4,13,2,9,1,14,1,11,1,8,1,13,1,6,2,13,1,30,1,12,1,16,1,17,1,11,1,9,3,10,1,9,1,10,1,11,1,17,2,16,1,9,3,15,1,14,1,9,1,6,1,28,25,7,1,13,1,8,1,10,1,24,1,11,1,15,2,8,1,6,2,28,1,8,1,6,1,29,1,9,1,10,1,24,2,9,1,13,2,8,1,29,1,28,1,7,1,30,1,29,1,6,1,30,1,6,2,8,2,7,1,28,11,30,1,28,3,13,1,33,1,5,1,33,263,5,813,13,1,28,4,29,1,28,2,13,2,29,1,6,1,13,1,7,1,6,2,28,2,29,1,30,2,29,2,6,2,13,3,8,1,9,2,8,2,13,2,30,2,13,1,8,1,13,1,6,1,13,3,7,2,6,2,29,1,30,2,28,1,30,1,28,5,13,2,7,1,24,1,7,1,13,1,7,1,8,1,7,1,8,1,13,1,9,1,10,1,24,1,12,1,11,1,17,1,12,2,17,30,12,1,17,2,12,2,17,1,28,1,30,1,29,1,27,1,28,18,30,2,28,2,30,1,28,50,30,1,6,1,28,1,13,5,6,1,13,4,6,2,30,1,13,1,6,2,13,6,9,3,11,1,16,2,11,1,9,1,11,3,16,2,11,3,6,2,7,1,29,1,28,4,29,1,30,1,6,1,13,2,8,1,24,2,11,1,9,3,10,2,9,1,17,1,11,1,17,1,11,1,17,2,12,1,17,4,10,1,17,2,12,1,11,1,10,1,24,1,12,1,10,1,9,2,10,1,24,1,10,1,8,1,24,1,8,1,24,2,13,5,7,1,13,1,6,1,28,2,30,1,28,107,30,1,28,1,6,1,28,1,30,1,6,1,7,1,6,2,13,2,9,2,8,1,10,2,11,1,17,13,11,2,10,1,12,1,9,4,13,1,8,2,11,1,9,2,11,1,9,1,17,5,10,1,17,1,12,2,17,1,8,1,13,1,24,2,12,1,24,1,13,1,8,1,12,1,24,4,13,1,10,2,13,1,7,1,8,4,25,1,7,1,25,1,6,1,7,1,25,2,7,1,26,1,6,1,25,3,26,1,8,1,25,1,6,1,8,1,25,1,24,2,8,1,9,1,8,1,10,2,24,1,12,1,24,1,12,2,17,1,10,1,12,1,17,1,12,2,17,1,10,1,17,3,10,1,17,2,12,1,24,2,17,3,24,2,10,1,8,1,24,1,10,1,8,1,12,1,24,1,8,1,12,1,24,1,8,1,24,5,25,1,24,1,8,1,12,1,9,1,24,1,17,1,8,1,24,1,10,1,12,1,9,1,12,5,10,1,12,1,10,2,17,1,12,1,17,3,12,1,17,1,10,1,17,2,12,1,17,1,12,1,24,1,10,1,8,1,10,1,13,1,24,1,6,1,24,1,10,1,13,1,8,3,9,1,12,1,8,1,12,1,24,1,11,1,24,1,9,1,12,1,11,1,12,2,9,1,17,1,12,3,8,1,17,1,12,1,24,1,11,1,9,1,12,1,11,1,17,1,12,2,11,1,16,1,11,1,9,1,11,1,17,12,11,1,17,12,16,4,11,1,16,4,17,1,16,3,17,4,16,11,11,1,10,1,11,1,10,1,11,1,9,1,11,1,17,3,11,1,7,1,30,2,29,3,30,1,28,4,30,2,28,4,29,1,28,2,30,1,29,1,8,1,9,1,17,1,12,2,17,4,12,5,11,2,12,1,17,1,11,1,17,2,16,1,17,1,16,1,11,1,16,1,9,1,8,1,9,1,8,1,13,1,8,2,24,1,13,3,8,1,13,1,8,1,24,1,8,1,7,2,13,1,6,2,7,2,24,1,13,1,10,1,8,1,10,1,13,2,24,1,8,1,12,1,8,3,25,1,26,3,24,3,15,1,24,3,25,1,24,1,25,3,8,2,25,1,8,3,24,6,8,2,24,1,12,2,24,1,12,2,24,6,8,1,24,1,8,1,24,5,25,1,8,1,24,2,25,1,24,4,10,1,17,1,12,1,17,1,10,1,24,2,13,1,24,1,17,1,24,1,17,6,12,1,17,13,12,2,10,1,12,1,17,8,12,1,17,12,16,1,17,8,11,1,17,6,11,1,17,1,12,1,17,1,12,2,17,1,12,1,17,2,11,2,10,1,11,1,17,5,11,2,17,1,12,1,17,1,11,1,17,2,12,2,17,1,11,2,17,1,11,1,17,2,12,1,17,17,12,2,17,1,11,1,17,1,12,1,17,1,11,1,17,1,11,1,12,2,11,1,12,1,11,2,17,1,11,3,17,1,12,2,17,1,10,1,11,1,17,1,11,4,17,3,12,2,11,1,12,2,11,1,17,1,10,1,12,2,10,1,17,1,12,1,17,2,11,1,17,1,11,1,12,2,17,6,12,2,17,1,12,1,17,1,12,1,17,3,11,1,17,4,12,1,17,1,12,1,17,1,11,1,17,7,12,1,11,1,17,3,10,1,12,1,11,2,10,1,17,1,11,1,12,2,17,2,12,1,17,11,12,3,17,1,10,1,9,1,7,1,13,3,8,1,13,1,11,1,17,8,9,1,29,1,28,11,13,1,16,1,17,7,9,1,8,1,6,1,9,1,8,1,9,1,11,1,17,5,28,4,30,1,10,1,17,2,11,2,8,3,13,1,30,1,13,1,29,1,28,17,}, {28,1,30,1,28,1,29,1,30,1,28,2,30,1,28,1,29,1,28,19,6,1,8,1,13,1,7,1,9,2,16,1,8,1,28,1,29,1,6,1,28,1,29,1,6,1,17,2,16,1,9,1,8,1,9,1,24,1,8,3,13,1,8,1,6,1,7,1,14,1,8,1,7,1,6,3,13,1,7,1,12,1,10,1,17,1,12,1,11,1,17,1,9,1,17,1,12,1,9,1,17,4,8,1,15,1,9,1,11,1,14,1,15,1,13,1,30,1,28,1,30,1,28,22,29,1,6,1,7,1,13,1,9,2,24,1,10,1,13,1,8,1,30,1,6,3,29,1,8,1,10,1,12,1,10,1,8,1,24,1,7,1,6,1,29,1,30,2,29,1,30,1,29,1,28,1,29,1,13,1,8,1,24,1,8,1,28,15,16,1,33,266,5,812,28,3,30,1,28,1,6,1,28,1,13,1,9,1,7,1,6,1,13,2,8,1,13,1,30,1,6,1,13,1,29,1,28,1,30,2,7,1,6,1,13,1,7,2,8,4,13,1,6,1,13,2,6,1,7,2,13,1,7,1,8,1,6,1,13,1,7,2,30,1,7,1,30,3,28,4,29,1,30,1,24,1,7,2,30,1,6,1,8,1,13,1,7,1,13,1,6,1,13,2,9,2,11,1,10,1,11,1,12,1,17,2,12,1,17,34,12,1,7,1,29,1,27,1,28,1,29,2,28,17,29,2,28,1,6,1,28,49,30,1,28,1,6,1,30,1,6,2,30,1,13,1,6,1,13,2,6,2,13,6,9,1,13,1,9,1,13,2,9,1,8,1,9,1,11,1,13,1,9,1,16,2,11,3,16,2,11,1,16,2,9,1,13,2,9,1,13,1,6,1,7,1,28,3,30,1,29,1,30,2,13,1,7,1,13,1,8,1,24,1,8,1,24,1,9,1,13,2,9,1,11,1,9,1,10,1,12,1,10,1,12,1,17,2,12,1,17,2,9,1,10,1,17,1,12,1,11,1,10,1,12,3,10,1,9,1,12,1,24,1,8,1,24,1,8,1,24,1,8,3,13,2,8,1,13,2,8,1,29,2,28,110,30,1,28,1,6,1,30,1,6,1,28,1,30,1,7,1,30,1,13,1,9,1,8,1,9,2,11,2,17,2,11,2,17,3,12,1,17,3,11,2,12,1,17,1,12,1,9,2,11,1,10,1,13,3,8,2,9,1,11,1,9,2,12,1,17,5,12,2,9,1,12,1,17,1,12,2,24,1,8,1,17,1,24,1,8,1,9,1,24,2,8,1,9,1,24,1,13,1,24,1,8,1,10,1,8,1,24,4,6,1,24,1,25,2,6,1,25,1,6,1,28,1,25,1,6,1,26,3,27,1,8,2,25,1,8,1,25,1,24,1,7,1,24,1,17,1,13,1,9,1,24,1,12,2,9,1,17,1,9,1,17,1,9,1,12,2,10,1,17,2,12,1,17,2,12,1,17,2,10,1,17,1,24,1,10,1,12,1,8,1,10,1,9,1,10,1,24,1,10,1,24,1,12,2,13,1,24,1,8,1,10,1,8,1,24,1,25,1,10,1,8,2,24,1,10,2,24,1,10,2,24,1,7,1,10,1,17,1,9,1,12,1,24,1,17,2,11,1,17,2,11,1,12,2,17,1,12,2,17,2,9,1,12,1,17,4,12,3,24,1,9,1,6,1,8,1,24,3,8,4,10,1,9,1,24,1,8,1,9,1,12,1,10,1,24,1,12,2,10,1,24,1,12,3,8,1,9,1,24,1,12,1,24,1,17,1,24,1,10,1,9,2,12,1,17,1,11,1,12,1,17,1,10,2,16,1,17,9,16,1,17,1,16,1,17,18,16,1,11,1,17,3,16,1,17,6,16,1,17,1,16,1,17,1,16,5,17,1,16,3,11,1,16,1,11,2,9,1,11,2,17,2,12,1,30,1,6,1,28,2,6,2,30,1,28,5,30,1,28,2,30,2,28,3,30,1,28,1,29,1,7,1,9,1,17,1,12,1,17,5,12,1,11,1,17,1,11,2,17,4,11,1,17,3,16,1,17,2,11,2,13,1,8,1,9,2,8,2,7,1,13,1,8,1,13,1,9,1,13,1,10,1,13,1,6,1,13,3,7,1,13,5,24,1,13,1,9,1,8,1,9,1,6,1,10,2,13,1,7,1,27,1,24,1,29,1,8,1,25,1,8,1,24,1,25,1,24,1,25,2,24,1,25,2,26,1,25,1,24,1,25,1,8,1,26,1,24,1,25,1,12,1,8,1,25,1,24,1,8,2,24,5,12,2,24,1,12,2,24,3,25,2,24,2,25,1,24,1,25,1,24,1,25,1,24,9,15,1,17,1,12,2,17,1,12,2,24,1,8,1,10,1,12,2,17,21,12,2,17,1,12,2,17,5,12,1,17,19,16,1,17,2,11,1,17,2,11,1,17,1,11,1,12,1,17,2,12,1,17,2,11,1,17,1,10,1,11,2,17,2,12,1,9,1,17,1,11,2,17,1,12,2,17,3,12,1,17,2,11,2,12,1,17,1,11,3,12,1,17,2,11,2,17,4,11,1,17,14,11,1,17,2,12,1,17,1,11,2,17,1,11,2,17,1,9,1,12,1,17,1,12,2,17,1,11,1,12,1,17,1,12,2,11,1,12,1,11,1,17,1,12,2,17,1,10,1,11,1,12,1,10,1,17,1,11,1,12,4,9,1,17,1,10,1,12,1,11,2,12,1,11,1,17,1,12,3,17,3,12,1,17,6,10,1,12,1,17,1,12,1,17,5,11,1,17,11,11,1,17,1,12,3,10,1,17,1,12,1,10,1,17,1,11,1,12,1,11,1,17,2,11,1,12,1,17,14,12,1,11,1,9,1,13,1,9,1,13,1,8,1,7,1,8,2,11,1,17,1,12,1,17,6,10,1,29,1,28,10,30,1,29,1,16,1,17,6,8,2,29,1,9,1,8,2,9,1,17,6,28,3,6,1,13,1,9,1,17,2,9,1,13,3,6,1,7,1,28,20,}, {28,2,29,1,28,3,13,1,28,21,30,1,6,1,13,2,7,1,9,1,16,1,9,1,13,1,6,1,28,1,30,2,29,1,28,1,17,3,13,2,8,2,12,1,15,1,13,1,6,1,29,1,6,1,13,1,14,1,15,1,7,1,28,1,7,1,6,1,13,1,9,2,17,2,12,2,9,1,12,1,17,1,8,1,10,1,11,1,17,3,12,1,10,1,15,2,14,2,29,2,28,24,30,2,13,1,8,2,24,1,10,1,8,1,13,1,7,1,30,2,6,1,30,1,6,1,15,2,24,1,10,1,13,2,7,1,6,1,30,1,29,1,30,2,28,1,6,1,29,2,8,2,24,1,8,1,28,11,6,1,28,3,16,1,5,2,33,265,5,810,33,1,28,4,6,1,28,2,6,1,30,1,7,1,6,1,13,1,6,1,24,1,6,1,13,1,6,1,7,1,6,1,28,1,29,1,30,1,13,1,30,1,13,2,6,1,24,1,9,2,13,4,29,1,13,4,8,1,29,1,13,3,6,1,7,1,6,1,28,5,30,1,29,1,6,1,7,1,6,2,7,1,13,1,7,4,13,1,6,1,8,1,29,1,13,1,11,1,9,1,11,1,12,2,11,1,17,4,11,1,17,10,12,1,17,19,10,1,28,1,30,1,27,1,29,3,28,3,30,1,28,14,30,1,29,2,28,50,6,1,28,1,6,1,13,2,30,2,7,1,13,4,9,1,13,4,9,1,13,1,8,1,9,1,11,1,9,1,11,1,9,1,16,1,11,2,9,1,11,1,9,1,13,2,9,4,11,2,10,1,8,3,9,1,11,2,9,1,6,1,28,4,6,2,30,1,8,1,13,3,8,1,13,1,10,1,9,1,12,1,9,1,8,1,10,1,11,1,12,1,17,1,10,1,17,1,11,1,17,2,12,1,9,1,17,1,10,1,12,1,10,1,12,1,10,2,12,1,9,2,8,1,24,2,10,1,8,1,24,1,8,1,24,2,13,1,24,1,13,2,28,1,25,1,30,1,28,3,30,1,28,105,30,2,6,1,28,1,29,1,6,2,30,1,13,1,6,1,13,1,7,1,13,1,9,3,10,2,17,16,10,1,17,1,12,1,17,1,8,2,13,1,6,1,9,3,11,1,8,1,12,2,17,2,9,1,17,1,11,1,24,1,12,1,10,1,24,1,17,1,24,3,10,1,24,1,10,1,8,1,24,1,9,2,24,1,13,1,8,3,24,1,12,1,6,1,8,1,7,1,8,1,7,1,24,1,25,3,26,1,6,1,29,1,8,1,25,2,27,1,26,1,8,1,29,1,8,1,25,1,24,3,10,2,24,3,12,6,17,2,12,2,17,1,9,1,17,1,24,1,12,2,17,3,9,1,12,1,10,1,17,1,9,1,12,1,24,3,10,1,12,2,8,1,24,1,12,1,9,1,24,2,12,1,8,2,24,1,26,1,8,1,12,1,24,1,8,1,13,1,10,1,12,1,9,1,8,2,12,1,8,1,10,1,17,1,9,3,17,2,10,1,17,3,9,3,11,1,12,1,10,1,17,1,8,1,12,2,9,1,17,1,12,2,24,1,8,1,24,1,13,1,8,1,9,1,8,2,24,1,10,1,13,1,10,1,12,1,24,1,17,1,8,1,24,1,10,1,12,1,8,1,12,1,8,1,24,2,12,1,9,1,11,1,10,1,12,1,9,2,10,1,24,1,9,1,10,2,11,1,8,1,11,2,17,1,12,1,17,1,16,1,17,4,10,1,17,14,12,1,17,1,16,2,17,13,16,1,17,8,16,1,17,2,11,1,16,5,17,1,16,1,11,2,10,1,9,2,17,1,12,1,30,1,28,1,30,1,29,2,30,1,28,8,30,1,28,7,29,1,6,1,8,2,12,1,17,1,12,1,17,2,9,1,17,2,12,1,11,1,10,1,17,1,12,1,17,1,10,1,17,1,12,1,17,5,16,1,17,1,11,1,12,1,9,1,8,7,13,1,9,1,8,1,13,1,6,1,8,1,13,3,8,1,13,3,9,1,13,1,8,3,24,1,8,1,9,1,12,2,7,1,25,1,24,1,25,1,8,1,24,3,8,1,25,2,27,1,24,1,27,1,25,2,26,1,25,3,26,1,27,1,25,1,27,1,24,1,8,1,24,1,12,1,8,1,24,1,12,2,10,1,24,1,12,3,24,1,17,1,12,1,24,1,25,3,24,1,25,1,8,1,24,1,25,3,24,2,12,1,24,2,8,1,24,2,8,1,24,2,15,1,12,1,17,2,12,2,24,1,10,1,8,1,12,1,24,1,8,1,12,1,17,6,11,1,16,1,17,11,12,1,11,1,10,1,11,3,17,19,16,1,17,5,16,1,17,4,12,1,17,5,11,1,12,1,17,1,11,2,17,1,11,1,12,1,11,1,17,1,12,1,11,1,12,2,11,1,17,2,11,1,12,2,11,2,17,3,12,1,17,1,11,1,17,1,12,1,11,1,17,1,11,1,17,2,11,1,17,3,11,1,17,9,12,1,17,1,12,1,17,3,11,1,17,1,11,2,12,1,17,2,12,1,11,1,12,1,17,1,10,1,11,1,12,1,17,1,11,1,10,1,11,1,12,1,11,1,10,1,17,2,10,1,11,2,10,1,12,2,10,1,12,2,17,1,12,2,17,1,10,1,11,1,10,1,12,1,11,2,17,1,11,1,17,1,12,1,11,1,17,1,12,2,17,1,12,1,17,5,12,1,17,2,12,1,17,1,12,1,17,1,10,1,17,1,12,2,17,12,11,2,17,1,12,2,17,2,11,4,12,1,11,1,17,1,10,1,12,1,17,3,12,3,17,13,10,1,11,1,13,2,8,1,7,1,13,2,8,1,11,1,17,7,24,1,30,1,28,11,6,1,17,6,10,1,12,1,8,1,7,1,8,1,13,2,9,2,17,5,28,4,29,1,9,1,16,1,10,1,8,1,9,1,13,1,7,1,13,1,30,1,28,20,}, {28,2,30,1,28,1,6,1,28,12,30,1,28,9,30,1,28,1,6,1,13,2,8,1,9,1,12,1,11,1,7,1,28,1,29,2,28,2,30,1,12,1,17,1,16,1,13,1,8,3,13,1,24,1,29,1,28,1,6,2,13,1,14,1,9,1,7,1,30,1,6,1,7,1,13,1,6,1,8,1,17,3,10,1,17,1,9,1,8,1,24,1,9,1,10,1,17,2,12,1,10,1,9,1,14,1,10,1,14,2,13,1,28,26,6,2,13,1,10,1,24,1,12,2,7,1,6,1,29,1,6,1,7,1,6,1,29,1,8,1,15,2,24,1,9,1,6,2,29,1,28,1,29,1,28,1,6,1,28,1,6,1,29,1,6,1,9,1,8,1,24,1,6,1,28,15,10,1,16,1,5,1,33,267,5,808,13,1,28,4,13,1,28,1,6,1,9,1,7,3,24,1,13,1,8,1,13,1,8,2,13,1,28,1,6,1,30,1,6,1,13,1,7,1,13,1,7,1,13,1,24,1,8,1,24,1,13,1,6,1,13,2,29,1,7,1,8,1,7,1,13,1,6,1,7,1,13,1,29,1,13,1,30,1,29,1,30,1,28,3,29,2,28,1,7,2,29,1,7,3,6,1,7,1,6,2,7,1,29,1,13,3,9,1,10,1,12,1,17,22,12,1,17,15,12,1,7,1,30,1,25,1,29,1,27,1,30,1,28,2,30,1,28,15,29,1,28,1,7,1,28,56,6,1,30,2,13,1,9,1,11,1,13,2,9,2,8,2,13,1,9,1,13,1,6,1,9,3,11,1,16,3,11,1,9,2,13,2,9,2,11,1,17,1,11,1,9,1,13,1,6,1,13,2,9,1,11,1,17,1,8,2,6,1,30,1,28,1,6,1,30,1,7,2,13,1,7,1,8,1,24,1,8,1,9,1,8,1,24,1,8,1,24,1,11,1,24,1,9,1,8,2,9,1,10,2,12,1,17,2,8,1,11,1,10,1,17,1,24,1,12,3,10,1,12,1,24,1,10,1,8,1,24,1,13,2,8,1,24,1,7,1,13,1,24,1,13,2,25,2,6,1,28,1,30,1,28,108,30,1,28,1,30,1,29,1,30,1,13,1,28,1,13,1,6,1,13,3,9,1,7,1,10,1,11,1,10,1,11,1,12,3,17,10,12,2,17,1,12,1,10,1,17,1,12,1,11,1,12,1,13,1,8,1,9,2,8,1,11,2,17,2,12,1,17,3,9,1,24,1,17,1,12,1,10,1,17,1,12,1,9,1,10,1,9,1,8,1,24,1,12,1,9,1,6,1,24,1,8,1,24,1,8,2,24,1,7,1,24,1,8,4,24,3,27,1,25,1,29,1,26,1,29,1,25,1,29,1,26,1,29,1,26,1,8,1,24,1,25,1,8,2,24,2,10,1,8,1,10,2,9,1,12,4,11,1,17,1,12,1,11,1,12,1,17,2,12,2,17,3,10,1,12,1,17,1,12,1,9,1,12,1,17,1,8,1,12,3,17,1,24,1,8,1,10,1,8,1,24,4,8,1,24,2,8,1,24,2,13,1,24,2,8,1,24,1,10,1,24,1,8,1,24,1,12,1,11,1,10,1,17,1,12,1,17,2,12,2,17,1,9,1,12,2,17,1,10,1,12,4,17,1,10,2,17,1,11,1,17,1,24,1,17,1,24,3,13,1,24,1,13,2,10,2,24,1,12,1,24,1,9,1,10,1,9,1,12,1,9,1,10,1,9,1,17,1,9,1,10,3,9,1,17,1,12,2,10,1,24,1,17,1,11,3,17,1,12,1,9,1,10,1,11,3,12,1,11,1,17,2,16,1,17,41,16,14,11,3,10,2,17,1,30,1,28,1,30,1,28,1,29,1,28,9,30,1,28,8,29,1,6,1,8,1,24,1,11,1,17,6,12,3,10,1,12,2,17,1,11,1,17,7,16,1,11,2,16,1,10,1,9,1,8,1,9,2,8,5,13,1,8,1,9,1,13,2,24,1,6,1,8,1,13,1,9,1,8,1,13,2,8,1,9,1,8,1,13,1,8,1,17,2,13,1,8,1,24,1,25,1,24,1,25,1,24,2,25,4,27,1,8,1,25,2,8,1,27,1,25,2,27,1,25,1,29,1,25,1,8,1,25,1,24,3,8,1,24,1,25,1,10,1,24,1,10,1,17,3,12,1,10,1,17,1,24,1,8,1,24,1,25,3,27,1,24,1,25,3,24,4,8,1,24,2,8,2,12,2,17,2,12,1,17,2,12,3,24,2,12,1,15,1,24,3,8,1,10,1,17,1,12,1,9,1,12,1,17,12,11,1,17,3,11,1,17,3,11,1,17,6,16,1,17,12,16,1,17,10,12,1,17,1,10,1,17,1,11,1,12,1,11,1,17,1,12,2,11,1,12,3,11,1,17,3,12,1,17,2,12,1,11,1,12,1,11,1,17,2,11,1,17,1,11,1,17,2,12,1,17,1,11,1,12,1,17,1,12,1,17,14,12,1,17,1,11,1,17,1,12,1,17,2,10,1,17,1,12,1,9,1,12,2,9,1,17,2,10,1,11,1,17,3,12,4,17,1,12,1,11,5,10,1,17,1,11,1,10,1,12,1,17,1,11,1,17,1,12,3,17,1,12,3,17,1,12,1,17,2,12,1,17,2,11,1,17,1,11,1,17,1,12,1,17,3,11,1,17,13,11,1,17,4,12,1,17,3,12,1,10,1,17,1,11,3,17,1,12,1,11,2,9,1,12,2,11,1,10,1,11,1,10,1,12,1,11,1,12,1,17,1,12,2,17,11,11,2,9,2,8,1,13,1,7,1,13,1,9,3,12,1,17,5,12,1,9,1,28,11,30,1,6,1,17,4,11,1,17,1,10,1,8,1,13,1,6,1,29,1,6,1,30,1,8,1,10,1,17,4,10,1,28,3,30,1,28,1,8,1,16,2,8,2,6,1,7,1,29,1,6,1,28,20,}, {28,2,6,1,28,1,30,1,28,24,13,1,8,1,7,1,13,1,8,1,11,1,17,1,13,1,29,1,6,1,29,1,28,2,6,1,8,1,17,2,13,1,29,1,8,1,13,2,8,1,13,2,6,1,29,1,13,1,17,1,24,1,6,1,29,1,6,1,29,1,8,1,29,1,9,1,17,2,10,1,11,1,12,1,8,1,9,1,8,2,6,1,17,3,8,3,9,1,14,1,10,1,13,1,30,1,28,8,6,1,28,11,30,1,28,4,29,1,6,1,13,1,12,1,24,1,12,2,8,1,6,1,30,1,6,2,29,1,13,1,9,1,10,1,15,1,14,1,8,1,13,1,29,1,6,1,28,2,6,1,30,1,28,1,30,1,6,2,7,1,13,1,24,2,28,1,30,1,28,13,9,2,13,1,33,268,5,807,28,4,6,1,28,2,6,1,7,1,13,1,6,1,13,1,7,1,8,1,13,3,9,2,6,1,13,3,7,1,13,1,8,1,13,1,24,1,13,1,24,1,13,2,6,1,13,1,7,1,28,1,8,1,7,1,6,1,8,1,6,2,13,1,7,1,6,2,7,1,28,1,29,2,6,1,29,1,6,1,8,1,13,1,30,1,6,1,7,1,6,1,13,2,7,1,6,1,7,1,6,1,13,1,7,1,10,3,9,1,11,2,17,37,7,1,30,1,29,2,30,1,29,1,28,1,29,1,30,1,28,6,29,2,28,3,30,1,28,5,30,2,28,60,13,1,9,1,11,1,9,1,13,1,6,1,7,1,13,3,9,1,17,4,16,1,13,1,6,1,30,1,13,1,16,1,17,3,16,1,9,1,11,1,30,3,13,5,9,2,13,1,9,1,13,1,8,1,28,1,29,1,7,2,6,1,8,2,24,1,8,1,24,1,8,1,9,2,8,2,10,1,8,1,24,1,10,1,12,1,10,1,9,3,10,4,17,1,9,1,10,1,12,1,9,1,12,1,9,1,24,1,13,1,24,2,13,1,24,1,7,1,8,2,7,1,8,1,13,1,7,1,13,1,6,2,29,1,30,1,28,110,30,1,28,1,6,1,7,2,13,2,6,1,13,2,7,1,8,1,13,1,9,1,11,2,10,1,11,1,12,1,17,11,10,1,17,1,11,1,17,3,10,1,12,1,17,1,13,1,8,2,9,1,13,1,10,1,12,2,17,2,12,1,17,1,12,1,10,1,12,1,8,1,9,1,12,2,17,2,12,1,9,1,12,1,8,1,10,1,9,1,8,1,24,2,8,1,12,1,10,1,24,1,9,1,13,1,24,1,7,1,8,1,30,1,8,1,25,2,27,3,26,2,25,2,29,1,25,3,26,1,8,1,7,1,24,1,9,1,10,1,12,3,9,1,12,2,10,1,12,1,17,4,12,3,10,1,12,1,17,1,12,2,17,1,12,1,17,1,12,1,17,1,24,1,10,1,9,2,12,1,10,1,24,4,12,1,8,1,24,1,10,1,24,1,10,1,7,1,13,1,12,1,8,1,6,1,7,1,24,1,8,1,10,1,24,2,10,1,13,1,9,1,24,1,9,1,10,2,11,1,24,1,13,1,10,1,17,1,24,1,12,2,17,2,11,1,12,1,17,1,12,1,10,1,12,1,10,1,17,1,12,1,9,1,12,1,10,2,12,1,24,1,8,5,13,2,24,1,12,2,9,1,12,1,24,3,9,1,10,1,17,1,12,1,9,1,10,2,9,1,24,1,10,1,9,2,17,1,10,1,12,1,24,1,9,2,12,1,9,1,17,1,11,1,17,1,10,3,17,1,16,1,17,2,11,1,17,2,12,1,10,1,17,1,11,1,12,1,17,2,10,1,12,1,11,1,17,1,12,1,17,23,16,1,17,2,16,6,11,1,16,4,17,1,16,2,11,4,9,1,7,1,28,1,30,1,28,10,30,1,28,1,30,1,29,1,30,1,28,6,30,1,7,1,8,1,9,1,10,1,17,1,11,1,17,2,11,1,12,2,9,1,11,1,17,1,10,1,12,2,11,1,17,5,16,1,17,2,9,1,17,1,11,1,9,1,10,1,8,1,9,2,8,2,13,1,8,1,9,1,13,2,8,2,9,1,8,1,24,1,11,1,24,1,8,1,13,1,8,1,13,1,9,1,24,1,9,3,17,1,24,1,13,1,24,2,26,1,8,1,24,1,26,1,25,3,27,1,26,1,27,1,24,1,25,2,8,1,25,1,29,2,27,1,25,1,26,1,25,1,8,1,25,2,24,1,25,1,24,1,25,2,8,1,17,3,10,1,17,1,10,1,17,1,12,2,8,1,24,2,25,2,8,1,25,4,12,1,24,2,12,1,15,1,24,1,12,1,24,1,12,1,17,2,12,1,17,1,12,1,17,2,12,1,24,3,25,3,8,1,24,1,8,1,24,1,12,2,10,1,9,2,16,2,17,10,11,1,17,1,11,3,12,2,17,16,11,1,17,11,11,1,17,2,11,1,17,2,12,1,17,1,11,2,17,1,11,1,10,1,17,1,10,1,12,1,9,1,17,1,12,1,11,1,10,1,12,1,17,1,12,1,17,1,11,3,17,3,12,2,17,3,12,1,11,1,17,1,12,1,17,2,12,1,17,17,12,1,17,3,12,1,17,2,11,1,12,3,17,1,12,1,11,1,17,1,11,1,17,3,11,1,12,1,11,1,12,1,10,1,12,1,10,1,17,2,12,1,17,1,11,1,12,3,17,1,12,3,17,2,11,1,12,1,17,1,12,1,17,1,12,1,11,1,12,2,17,1,10,1,17,2,12,1,17,2,11,1,17,1,12,2,11,1,17,7,12,1,17,2,12,1,17,5,12,1,17,6,11,1,17,1,11,2,17,2,11,1,17,1,12,2,9,1,11,1,12,4,17,2,12,1,17,1,12,1,17,11,12,1,11,1,9,2,8,1,7,1,29,1,8,2,12,2,17,4,12,2,9,1,28,12,6,1,17,4,11,2,9,1,11,1,13,1,6,2,13,1,7,1,13,1,11,2,17,3,11,1,28,5,10,1,17,1,16,1,8,1,13,1,7,3,29,1,28,20,}, {28,2,29,1,6,1,28,3,30,1,28,1,29,1,28,14,30,1,28,1,30,1,6,2,8,2,13,1,8,2,12,1,17,1,9,1,28,1,13,1,30,2,28,1,30,1,9,1,17,2,13,1,6,1,13,2,9,1,6,1,29,1,13,1,29,1,30,1,8,1,14,1,24,2,28,1,29,1,7,1,6,2,9,1,17,3,8,1,13,2,8,2,13,1,24,1,17,3,9,1,24,1,6,1,13,1,11,1,14,1,6,1,28,26,6,1,13,1,24,1,9,1,10,3,8,1,13,1,7,1,6,3,28,1,24,1,9,1,14,1,15,1,9,1,24,1,13,1,30,1,29,1,28,2,30,2,28,1,6,1,30,1,13,1,9,1,8,1,10,1,30,1,28,11,30,1,28,2,30,1,13,1,6,1,33,269,5,805,33,1,28,4,6,1,28,2,8,1,29,1,6,1,7,1,30,1,6,1,8,1,9,1,24,1,9,1,8,1,9,1,28,1,6,2,9,1,13,1,29,1,7,1,13,1,11,1,7,1,10,1,13,2,7,1,6,1,7,2,6,1,13,2,6,1,7,1,6,1,8,1,6,1,13,1,30,8,13,1,30,2,6,1,7,5,6,1,7,2,13,1,8,1,9,1,11,1,17,1,11,1,12,1,17,37,24,1,25,1,6,1,25,2,29,1,30,1,28,2,30,1,28,6,24,1,28,9,30,1,6,1,28,55,6,2,7,1,28,2,30,1,28,3,13,1,9,1,13,1,30,1,13,3,28,4,30,1,6,1,13,1,28,11,6,2,13,1,7,1,13,1,9,1,11,1,16,1,11,1,9,2,6,1,11,1,8,1,6,2,7,1,13,1,8,1,13,1,9,1,8,2,9,1,8,1,24,1,12,1,8,1,9,1,24,3,9,2,10,1,24,2,9,3,12,1,10,1,17,1,9,2,10,1,9,1,24,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,24,2,13,1,6,1,7,1,8,1,29,1,13,1,6,1,29,1,6,1,28,1,13,1,28,104,30,1,28,1,30,3,28,4,6,1,30,1,6,1,7,1,8,1,13,2,8,2,9,1,12,1,8,1,17,13,11,1,17,1,11,1,17,2,12,1,17,1,11,3,9,2,13,1,8,1,9,1,10,1,12,1,17,2,11,1,12,1,17,1,24,2,17,1,9,1,17,1,24,1,8,1,9,2,8,1,10,3,24,1,10,1,12,1,8,1,24,1,8,1,24,1,10,1,8,1,24,2,6,1,25,3,30,1,27,2,6,1,27,1,26,1,29,1,30,1,25,1,6,1,8,1,25,1,24,1,25,1,12,1,6,1,12,1,8,1,24,1,9,2,17,1,12,2,10,1,11,1,17,3,12,2,17,1,10,1,12,1,17,1,24,1,17,2,12,1,17,3,9,1,10,1,24,2,10,1,12,1,10,2,12,1,24,1,10,1,24,1,10,1,24,1,12,1,24,3,10,1,24,1,10,1,24,2,10,2,24,1,8,1,12,1,24,1,17,1,9,1,8,1,9,1,12,1,24,1,12,1,9,1,12,2,10,1,17,2,12,1,9,1,10,1,12,1,10,1,17,1,12,1,17,1,12,1,11,1,12,1,10,1,12,4,17,1,24,1,8,2,24,2,12,1,10,2,24,1,8,1,24,1,10,1,24,1,8,1,9,2,8,1,9,2,17,1,12,1,24,1,9,1,24,1,11,1,10,1,17,1,24,1,11,1,24,1,12,2,17,1,9,1,24,1,10,1,17,1,9,2,11,1,16,1,17,2,16,1,17,2,16,1,11,1,17,4,11,1,17,2,10,1,17,1,11,1,10,1,17,1,9,1,11,1,10,1,12,1,10,1,12,2,11,2,17,14,16,1,17,2,16,11,17,1,16,2,11,3,9,2,11,1,30,1,28,1,30,2,28,10,30,1,28,1,30,1,28,7,30,1,6,1,29,1,8,1,24,1,9,1,12,1,11,1,17,2,12,1,11,1,12,1,11,2,10,1,11,1,12,2,10,1,11,1,17,6,16,2,17,1,16,1,10,1,11,1,13,1,10,1,9,3,8,1,13,1,8,1,11,1,24,1,9,1,13,2,9,1,24,1,8,1,10,2,9,1,10,1,8,1,13,2,8,1,17,3,12,1,8,1,24,1,8,1,24,1,27,1,8,1,24,1,26,1,25,2,27,1,25,2,24,1,26,1,25,1,26,2,27,1,26,2,25,4,24,2,8,1,12,1,24,1,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,1,12,2,8,1,24,4,25,6,24,2,12,1,24,2,15,1,12,1,17,1,12,1,17,6,10,1,24,7,10,1,12,2,15,1,12,1,9,1,8,1,9,1,11,1,17,13,12,1,17,7,11,1,12,1,17,18,16,2,17,6,11,2,12,1,9,1,11,4,12,2,11,1,12,1,11,3,10,1,11,3,12,1,11,2,12,3,11,2,17,5,11,1,12,3,17,1,11,1,12,1,17,21,11,1,17,3,12,1,10,1,17,1,10,1,11,1,12,2,17,2,12,1,11,1,12,1,11,1,12,1,11,1,17,1,10,1,11,1,12,1,17,1,12,1,11,1,17,1,11,1,12,1,11,1,17,1,12,1,17,1,11,3,12,4,17,1,12,1,11,1,9,1,17,2,9,1,12,1,17,1,11,1,17,1,11,1,12,1,11,2,17,1,12,1,17,5,11,1,9,1,17,1,11,1,17,15,11,4,17,1,12,1,10,1,12,1,11,2,12,1,9,2,10,1,12,1,11,1,12,1,11,1,12,1,17,1,11,1,17,10,12,1,17,1,11,2,10,1,13,1,8,1,24,1,8,2,11,2,17,6,13,1,28,12,30,1,17,3,11,1,16,1,11,2,9,1,13,1,6,1,30,1,13,3,9,1,17,1,16,1,17,2,13,1,28,5,9,1,17,2,13,2,9,1,13,2,29,1,28,20,}, {28,1,29,1,28,6,30,1,28,6,30,1,28,1,30,1,28,8,6,2,7,1,6,1,17,1,6,2,8,2,17,1,9,1,13,1,28,1,30,3,28,1,9,1,17,2,13,1,7,1,13,2,8,1,7,2,30,1,6,1,30,1,6,1,17,1,9,1,8,1,29,1,6,3,13,1,6,1,17,2,12,1,13,2,8,2,13,2,12,1,17,3,8,1,13,2,8,1,9,1,15,1,6,1,30,1,28,24,29,1,6,1,13,2,24,1,10,1,9,2,24,1,30,3,6,1,30,1,6,1,8,1,10,1,14,1,24,2,8,1,6,1,7,1,28,1,30,1,28,2,6,1,28,1,13,1,6,1,8,2,24,1,7,1,28,15,30,1,13,1,30,1,5,1,33,269,5,804,13,1,28,3,13,1,6,1,30,1,8,1,7,2,6,2,29,1,8,1,13,1,8,1,13,1,8,1,13,1,7,1,13,3,8,1,7,1,13,1,8,2,24,1,8,2,30,1,13,1,7,1,30,1,8,1,13,1,7,2,9,1,7,1,8,1,13,1,7,1,30,1,6,1,29,1,28,1,6,1,30,1,6,1,30,1,13,1,6,1,29,1,30,1,7,2,13,1,7,1,30,1,7,1,8,1,6,1,7,1,6,1,9,1,13,1,9,1,11,1,9,1,12,1,17,1,12,1,17,36,6,1,25,1,27,2,25,1,30,1,28,1,29,1,28,2,29,1,28,9,30,1,28,4,30,1,25,1,28,58,6,1,7,1,30,1,13,1,28,1,30,1,28,1,30,1,13,1,6,1,13,1,7,1,13,1,6,1,28,6,30,1,28,12,30,1,13,3,9,2,16,1,9,1,6,1,13,2,10,1,16,1,24,1,8,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,9,2,24,1,10,1,9,1,10,1,12,1,9,2,10,1,24,1,9,2,24,1,8,1,9,3,8,1,24,1,8,1,9,3,13,2,7,2,8,1,24,1,13,1,8,4,7,1,6,1,8,1,30,1,6,1,28,1,30,1,6,2,28,104,30,3,28,1,30,1,28,1,30,1,29,1,28,1,13,1,6,1,7,1,13,1,6,1,7,1,13,1,10,2,8,1,10,1,12,1,10,1,12,1,9,1,11,1,17,1,12,1,17,6,11,1,17,3,11,1,12,1,17,5,10,1,13,1,9,1,13,2,10,1,12,1,17,3,12,2,17,2,24,1,10,1,12,1,8,1,17,1,24,1,12,1,24,1,10,1,17,1,12,1,9,1,24,2,8,1,24,1,8,1,9,1,12,1,24,2,8,1,24,1,7,1,6,3,25,1,6,2,27,1,29,2,26,1,25,2,6,1,24,1,8,1,24,1,25,1,24,2,10,1,24,1,12,1,17,1,9,1,17,1,12,2,17,8,12,1,17,2,12,1,9,1,17,1,12,1,10,1,17,1,10,1,12,1,24,1,8,1,12,1,24,1,10,1,12,2,10,1,12,1,8,1,24,1,8,1,24,3,8,1,12,1,8,1,24,2,10,2,7,1,8,1,24,1,8,1,24,1,8,1,24,1,8,1,24,1,17,1,8,1,12,1,24,1,12,2,9,2,8,1,10,1,9,1,24,2,9,1,10,1,11,1,17,1,10,1,17,1,12,1,9,1,17,1,9,1,10,1,17,1,10,1,11,1,24,1,8,1,24,2,10,1,9,1,24,1,9,1,24,1,10,1,12,1,10,1,12,1,10,2,12,1,24,1,10,1,9,2,17,1,9,1,10,1,12,1,9,1,24,1,12,3,9,1,10,1,12,1,13,1,17,1,10,1,8,1,10,1,9,1,11,1,17,9,11,1,12,1,17,2,12,1,10,1,17,1,11,1,10,2,12,1,17,2,12,1,17,2,8,1,17,1,12,1,17,1,11,1,9,1,17,6,16,1,17,8,16,13,11,1,16,2,11,2,9,1,17,1,9,1,28,3,30,2,28,9,30,2,28,8,30,1,6,1,30,1,7,1,10,1,11,1,17,1,12,1,10,1,11,1,12,2,11,1,9,2,11,5,12,1,17,5,16,3,11,1,16,1,9,2,10,1,9,3,8,1,9,1,8,2,13,2,8,1,9,1,24,1,13,1,9,2,24,1,11,1,9,1,10,1,8,1,13,1,9,1,12,1,9,1,17,1,8,1,24,1,10,1,24,1,25,1,24,3,26,1,24,2,25,1,8,1,25,1,8,2,25,2,29,1,27,1,25,1,26,1,27,3,25,2,8,1,24,2,8,1,24,2,10,1,17,3,12,1,17,1,12,1,17,1,24,1,12,2,24,6,26,1,25,3,24,5,12,2,17,10,24,1,25,1,8,2,24,2,8,2,24,2,12,1,24,1,17,2,10,1,17,1,10,1,17,14,12,1,11,1,12,1,11,1,17,5,11,1,17,4,16,1,17,11,11,1,17,8,9,1,17,2,11,4,10,1,9,1,11,1,12,1,10,1,12,1,10,1,17,1,11,1,10,1,12,1,10,1,12,1,17,1,10,1,17,1,10,1,12,1,17,1,12,1,17,2,11,1,12,1,11,2,12,1,10,1,17,1,12,1,11,1,17,3,12,1,17,5,10,1,17,9,11,1,17,4,12,1,17,1,11,1,12,1,11,2,17,1,11,1,17,4,11,1,12,1,17,2,12,1,11,1,17,1,12,3,17,1,9,1,17,1,12,2,10,1,11,1,12,2,17,1,12,1,17,2,12,1,11,1,17,1,12,2,11,1,17,1,12,1,17,2,11,2,17,1,12,1,10,1,12,1,17,1,11,1,12,1,11,1,17,1,12,1,17,1,11,1,17,3,12,2,11,1,17,14,10,1,11,2,12,1,11,1,12,1,11,2,9,4,11,1,12,1,10,1,11,1,17,15,12,2,9,3,8,1,13,1,8,1,9,1,8,1,12,1,17,6,28,13,13,1,17,4,11,1,9,2,8,1,13,1,6,1,8,1,7,1,13,1,30,1,10,1,17,1,16,1,17,2,9,1,28,5,9,1,17,1,12,1,13,1,7,2,6,2,28,21,}, {28,4,29,1,28,3,30,1,28,10,29,1,28,1,30,1,28,4,7,1,6,1,7,1,13,1,8,2,6,1,7,1,24,1,17,1,10,1,29,2,6,1,30,1,28,2,13,1,17,2,8,1,6,1,7,1,8,1,13,1,8,2,6,1,28,1,29,1,13,1,12,1,17,1,6,1,28,1,30,2,29,1,8,1,9,1,17,2,9,1,13,1,7,1,8,4,11,1,17,3,16,1,8,1,6,1,8,1,13,1,9,1,7,1,28,1,30,1,28,24,30,1,8,2,13,1,24,2,12,1,8,1,7,1,6,2,13,1,28,1,6,1,8,1,10,1,9,1,14,1,13,1,8,1,13,1,30,1,29,1,28,1,6,1,28,1,30,2,6,1,13,1,24,2,9,1,13,1,29,1,28,14,30,1,13,1,30,1,33,271,5,803,30,1,28,6,13,2,7,3,6,1,13,2,24,1,11,1,13,1,8,1,13,1,29,1,13,1,8,1,13,3,9,1,8,1,13,1,9,1,13,2,8,1,6,1,29,1,7,1,13,1,6,1,7,1,13,2,7,2,13,1,7,1,30,1,29,1,30,2,6,1,28,1,30,1,29,1,7,1,6,1,29,1,7,1,13,2,30,1,13,1,7,2,13,1,8,1,13,1,9,1,10,2,9,1,11,2,17,37,13,1,6,1,25,1,29,1,26,1,25,1,29,1,27,1,30,2,28,1,30,1,28,1,30,1,28,10,30,1,28,1,29,1,7,1,28,59,30,1,28,1,13,1,28,1,30,2,28,1,13,3,30,1,13,1,30,1,6,1,13,1,28,6,6,1,28,10,6,1,13,1,9,1,13,1,11,3,9,1,28,1,6,2,13,1,10,1,9,1,13,2,8,1,13,1,9,4,11,1,9,1,12,1,8,1,9,1,12,1,10,2,9,1,8,1,9,1,24,1,9,1,8,2,24,3,9,1,24,1,9,2,10,1,13,1,8,2,6,1,7,4,13,3,7,1,8,1,6,2,29,1,6,1,30,1,29,1,28,111,29,1,30,2,6,1,30,1,13,2,9,1,13,1,8,1,13,2,9,1,10,1,11,1,9,1,11,1,24,1,11,1,17,11,10,1,17,8,10,1,11,2,9,1,8,1,9,1,17,2,12,1,11,1,17,2,12,1,9,1,12,1,9,1,12,1,9,1,10,3,24,2,8,1,24,1,17,1,6,1,24,2,12,1,13,1,24,1,8,1,24,2,8,1,7,1,13,1,6,1,26,1,6,1,30,2,6,2,27,1,25,2,26,1,8,2,24,1,8,1,24,2,8,1,24,1,10,1,24,1,12,1,10,2,17,9,11,1,17,5,12,1,10,2,17,2,10,2,24,1,10,1,24,1,9,1,8,1,24,2,8,1,10,1,12,1,24,1,25,1,12,1,10,1,24,1,25,1,24,2,10,1,24,3,29,1,24,1,10,1,24,2,12,3,8,1,12,1,9,1,17,1,24,1,9,1,24,1,17,1,10,1,12,1,9,1,10,1,24,1,12,1,17,1,10,1,12,1,17,1,10,1,17,1,11,1,9,1,10,1,9,1,17,1,10,1,24,1,10,1,24,2,8,1,24,1,13,1,9,2,10,1,8,1,24,1,13,1,10,1,24,1,12,1,8,1,9,1,24,2,8,1,12,1,24,1,12,1,24,1,12,1,24,3,11,1,9,1,17,1,8,1,11,1,24,1,9,1,12,2,24,1,10,1,12,1,17,2,11,1,17,3,16,1,12,1,17,1,10,1,12,1,17,1,10,1,12,1,17,1,12,1,17,3,10,2,11,1,8,1,11,1,17,2,12,1,17,3,9,1,17,2,11,1,12,1,17,11,16,1,17,2,16,3,17,1,16,9,11,2,17,1,9,1,28,16,30,1,6,1,30,1,28,7,30,1,6,1,24,2,12,2,10,1,12,1,11,1,9,1,11,1,17,2,10,1,12,1,17,1,24,1,17,1,9,1,17,5,16,4,10,1,11,2,9,4,8,1,13,1,9,1,8,1,9,1,13,1,8,1,13,1,9,2,8,3,9,1,24,1,9,1,8,1,9,1,13,1,9,2,12,1,17,1,12,1,10,2,24,1,8,1,24,1,8,1,24,1,25,1,24,1,25,3,24,1,25,2,24,2,25,2,30,1,27,1,26,1,27,1,25,2,24,1,15,1,8,1,24,1,12,1,24,1,12,1,17,6,12,1,17,1,12,1,17,1,24,1,17,1,12,1,8,1,24,1,25,5,26,1,24,1,25,1,24,1,12,1,24,2,12,2,17,8,12,1,24,5,8,1,24,1,8,1,24,1,12,1,10,1,7,1,24,1,17,1,9,1,17,3,11,1,17,11,12,3,11,2,17,4,11,1,17,11,16,1,17,5,16,1,17,6,11,1,17,2,11,1,12,3,11,1,17,1,12,1,11,1,17,1,11,1,10,1,12,2,17,1,12,1,17,1,12,2,11,1,17,1,11,2,12,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,12,1,17,1,12,2,11,1,17,1,11,1,17,9,12,1,17,7,12,1,17,1,12,1,17,5,11,1,17,1,11,1,12,2,11,1,12,1,11,2,12,3,11,1,17,1,12,1,11,1,17,1,11,1,12,1,17,1,10,1,12,2,17,1,9,1,12,2,17,1,10,1,12,2,17,2,12,1,17,2,12,1,11,2,17,1,12,1,17,3,9,1,17,1,11,4,17,1,11,2,9,1,12,1,9,1,12,1,17,2,12,1,17,18,12,1,17,1,12,1,17,1,10,1,17,1,10,2,11,2,10,1,11,1,10,2,12,1,9,1,17,2,11,1,12,1,17,12,12,1,11,1,10,1,9,1,8,3,13,1,9,1,12,1,11,1,17,4,10,1,28,13,6,1,17,4,11,1,9,1,8,2,7,1,6,2,13,1,29,1,30,1,8,1,16,1,17,3,8,1,28,5,12,1,17,1,10,1,24,1,6,1,13,2,8,1,29,1,28,20,}, {28,2,30,1,28,1,30,1,28,2,30,1,28,6,29,1,28,9,30,1,6,1,29,1,7,1,13,1,29,1,24,1,13,1,8,1,6,1,11,1,16,1,24,1,29,1,30,1,28,1,30,2,6,1,9,1,17,2,9,1,30,1,7,1,13,1,6,1,8,1,13,2,6,3,14,1,15,1,8,1,30,1,6,1,13,1,6,1,13,1,8,1,17,1,16,1,8,1,13,1,7,1,6,1,13,3,12,1,16,1,17,2,16,1,13,1,29,1,8,2,9,1,30,1,28,25,7,2,29,1,24,1,13,1,12,1,15,1,17,1,8,1,29,1,6,2,13,1,6,1,7,1,8,1,24,1,14,1,15,1,8,1,7,1,6,1,13,1,28,1,30,1,28,1,29,4,8,1,6,1,24,1,10,1,8,1,6,1,28,15,13,2,5,1,33,271,5,801,30,1,28,4,30,2,7,1,8,1,13,1,30,1,7,2,8,1,24,1,10,1,13,1,8,1,13,2,29,1,6,2,13,5,24,3,13,2,29,1,8,1,6,1,7,1,8,2,13,1,30,1,13,1,6,3,29,1,6,1,28,3,6,1,28,2,29,1,13,1,7,2,30,1,7,1,6,1,24,1,13,1,7,1,13,2,8,1,13,1,8,1,11,1,9,1,10,1,17,1,11,1,17,37,13,1,8,1,25,1,27,1,30,1,27,1,29,1,27,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,3,30,3,29,1,30,1,7,1,28,66,30,1,28,4,13,2,6,1,13,1,28,8,13,1,6,1,28,3,6,1,28,1,30,1,7,1,13,1,9,1,11,1,16,1,11,1,13,2,8,1,30,1,13,1,6,2,16,1,13,2,29,1,13,3,9,1,10,1,12,1,8,1,10,1,8,2,11,1,24,2,12,1,24,5,10,1,8,1,10,2,13,1,24,1,9,1,8,1,13,1,8,2,13,1,8,4,7,1,6,1,7,1,13,1,29,1,6,1,29,2,28,1,7,1,6,1,13,1,28,110,6,1,28,1,30,4,6,1,7,1,8,2,13,1,9,1,8,2,10,1,8,1,11,2,9,2,17,14,12,1,17,1,11,1,17,5,12,1,11,1,9,2,8,1,11,1,17,3,12,1,17,1,24,1,12,1,10,1,12,1,17,1,24,1,9,1,10,1,9,1,24,1,12,2,24,1,8,1,9,1,13,1,9,1,24,3,9,1,8,1,24,1,13,1,29,1,7,1,6,2,25,1,29,1,28,1,6,1,28,1,26,2,24,1,25,2,24,1,25,1,24,1,25,1,10,1,24,1,17,1,24,1,12,1,17,2,12,1,8,1,9,1,12,1,17,5,12,2,17,1,12,1,10,1,13,1,8,1,24,1,8,1,24,1,12,1,10,1,13,1,9,1,24,1,8,2,10,1,17,2,12,1,24,3,12,1,10,1,24,1,7,1,24,4,12,1,24,3,12,1,24,3,8,2,12,1,24,2,10,1,9,1,10,1,12,2,24,1,12,1,9,1,10,1,9,1,17,1,9,1,12,1,8,1,17,1,9,1,12,1,10,1,17,1,9,1,17,1,10,1,17,1,10,2,17,1,13,1,8,1,10,1,8,1,24,2,8,1,12,1,8,1,12,1,10,1,9,1,24,1,8,1,12,1,24,1,10,1,9,1,8,1,12,2,24,1,8,1,12,2,17,1,12,1,9,1,8,1,17,2,12,1,10,2,11,1,9,2,10,1,16,1,12,1,17,4,16,1,17,1,16,1,10,1,17,1,10,1,17,2,9,1,10,1,9,1,11,1,10,1,9,1,11,1,17,1,9,1,11,1,17,1,9,1,12,1,11,1,12,1,17,2,9,1,10,1,17,4,11,1,17,13,16,6,17,1,16,2,17,1,16,1,11,2,10,1,17,1,10,1,30,1,28,15,30,1,28,2,30,1,28,6,6,1,28,1,13,2,8,1,10,1,12,1,10,1,11,1,10,1,8,1,11,2,10,1,24,1,12,1,17,1,8,1,24,2,12,1,11,1,12,1,17,3,11,1,16,2,11,1,17,1,9,1,11,4,9,5,13,1,8,2,13,2,8,1,13,1,24,1,8,1,9,3,13,1,17,4,12,1,10,1,9,1,8,1,10,1,24,1,15,2,24,1,25,1,8,1,24,1,25,2,8,1,24,2,26,1,25,1,27,1,8,1,30,1,25,5,24,1,8,1,24,2,12,1,24,2,17,7,12,3,10,1,12,2,24,1,12,1,24,1,27,1,8,1,25,1,8,2,25,2,8,2,24,1,12,3,17,1,12,1,17,5,12,1,17,2,10,1,24,2,8,1,24,1,25,1,24,6,12,2,17,1,12,1,17,12,12,2,11,1,12,2,11,1,17,3,11,1,17,3,10,1,17,23,11,1,17,1,12,2,11,1,12,1,11,2,10,1,11,1,12,1,11,1,9,1,12,1,11,1,17,1,12,1,9,1,12,1,10,1,11,1,10,1,11,3,10,1,11,1,17,1,12,1,17,1,11,2,17,1,12,1,17,1,10,1,17,1,10,1,17,1,11,1,17,20,12,1,17,4,11,1,9,2,11,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,11,2,17,1,11,1,17,1,10,1,11,1,9,1,17,2,12,1,17,1,12,5,11,2,12,1,17,2,12,1,11,1,12,1,17,1,11,3,17,1,12,1,11,1,12,1,17,1,12,1,17,5,11,1,17,1,11,1,12,1,17,1,12,1,17,3,12,1,17,4,12,1,17,9,12,1,11,2,10,1,12,1,11,2,12,2,9,1,11,3,9,1,11,1,12,1,17,1,11,1,12,2,17,13,10,1,9,2,13,1,8,1,9,1,13,1,12,1,11,1,12,1,17,3,11,1,29,1,28,2,29,1,28,9,13,1,17,5,9,1,11,1,9,1,8,1,7,1,29,1,7,1,13,2,10,1,16,1,17,3,6,1,28,5,24,1,17,1,9,1,13,1,6,1,7,1,13,1,8,1,30,1,28,20,}, {28,2,30,2,28,5,30,1,28,1,6,1,28,13,6,2,30,1,6,1,13,1,29,1,8,3,13,1,15,1,24,1,8,1,6,1,29,2,28,2,13,1,17,2,8,1,6,1,13,2,8,1,7,1,8,1,6,1,28,1,13,1,7,1,16,1,17,1,13,1,29,1,6,1,13,2,8,1,13,1,16,1,11,1,8,1,6,1,13,1,29,1,13,2,8,1,13,1,12,1,17,2,12,1,13,1,8,1,7,1,8,1,9,1,30,1,28,26,30,1,13,1,8,4,15,1,13,1,6,1,13,1,7,1,6,1,30,1,8,2,9,1,24,1,8,2,13,1,7,1,6,3,30,3,28,1,30,2,6,1,13,1,15,1,13,1,29,1,28,8,30,1,28,5,30,1,6,1,30,1,5,1,33,273,5,799,28,5,29,1,6,1,13,1,7,1,6,1,7,1,6,1,28,1,11,1,13,1,10,1,8,2,13,1,6,1,28,1,6,1,7,2,8,1,6,1,8,1,10,1,24,1,13,1,8,1,13,1,7,1,13,1,8,1,7,2,6,2,13,1,7,1,6,1,7,1,29,1,30,1,6,1,30,1,28,1,6,1,30,1,28,3,30,1,13,4,6,1,7,1,13,1,6,1,13,1,8,1,13,1,8,1,13,1,9,2,10,1,12,1,11,1,17,1,12,1,17,19,11,1,17,15,9,1,13,1,7,1,8,1,26,1,29,2,26,1,28,1,29,1,30,1,28,5,29,1,28,1,30,2,28,1,30,1,28,1,29,1,27,3,7,1,28,65,30,1,6,1,30,2,28,2,30,1,13,1,6,3,28,3,30,1,28,3,30,1,13,1,9,2,13,4,11,1,17,2,11,1,16,1,13,3,28,1,30,1,9,2,13,1,11,1,9,1,8,1,13,1,30,1,13,1,8,1,11,1,12,1,13,1,7,1,8,1,13,1,9,1,24,2,9,1,10,1,12,1,8,1,24,1,13,1,8,5,24,1,13,2,8,1,13,1,24,1,13,1,6,1,7,1,8,2,6,1,13,1,7,3,6,2,30,1,6,2,30,1,28,110,7,1,30,1,6,2,28,1,29,1,6,2,7,1,13,4,9,3,11,1,9,2,10,1,11,1,17,2,10,1,12,2,17,6,11,1,12,1,17,5,11,1,17,4,12,1,17,2,8,2,9,1,17,2,11,1,12,5,10,1,12,2,8,3,24,1,9,1,24,1,10,1,9,1,24,1,13,1,8,1,24,1,6,1,24,1,7,1,8,2,6,2,30,2,28,1,6,2,25,2,29,1,25,1,6,1,28,1,8,2,7,1,8,1,12,1,24,2,8,1,17,1,8,1,12,1,10,2,9,1,17,5,9,1,8,1,12,1,8,1,7,1,13,1,24,1,8,1,7,1,24,2,8,2,25,1,6,1,25,1,8,1,6,1,24,3,8,1,25,1,8,1,10,1,24,1,10,2,8,1,9,1,8,1,10,1,24,1,12,1,24,3,12,1,24,1,25,1,24,2,8,1,10,1,12,1,8,2,24,2,8,1,12,1,9,1,12,1,9,1,12,1,9,1,8,1,9,1,8,1,10,1,12,1,9,2,17,1,12,1,10,1,17,1,9,2,10,1,12,1,10,2,24,1,8,1,24,2,12,1,8,1,10,1,24,1,10,1,24,1,12,1,24,2,12,1,24,1,10,1,12,1,24,1,10,1,24,1,9,1,12,1,24,1,10,1,11,1,24,1,10,1,11,1,10,1,12,2,9,2,10,1,9,1,17,1,10,1,9,2,12,1,17,6,16,1,17,1,12,1,11,2,12,1,9,1,11,1,17,1,10,1,17,1,12,1,10,1,9,1,11,1,17,1,9,1,12,2,17,1,11,1,12,1,9,1,17,3,11,1,12,1,17,1,9,1,17,3,11,1,17,4,16,1,17,7,16,2,17,1,16,4,11,1,16,1,11,1,9,1,17,2,30,1,28,14,30,2,28,1,30,1,28,8,29,1,28,1,7,1,8,1,9,1,17,2,10,2,11,1,12,1,11,1,9,1,11,1,12,1,17,2,9,1,11,1,10,2,9,1,17,6,11,2,17,2,11,1,17,1,10,1,17,1,8,1,9,4,8,1,13,2,8,1,13,1,24,1,8,1,13,1,8,3,10,1,9,1,17,3,10,1,12,2,10,1,9,1,17,1,12,1,17,1,12,2,24,4,27,1,8,1,27,1,24,3,27,1,24,1,29,1,24,5,25,1,24,3,12,1,24,1,8,1,12,1,17,4,12,1,17,1,12,2,8,1,7,1,25,1,27,1,6,1,28,1,29,1,28,1,30,1,28,4,30,1,27,2,8,1,27,1,25,1,8,1,24,1,12,1,17,8,24,5,8,1,24,1,25,1,24,4,12,1,15,1,12,1,17,15,11,1,17,2,11,1,17,5,12,1,17,1,11,1,17,19,11,1,17,1,11,1,17,1,11,2,17,2,11,1,10,1,11,1,17,2,11,2,17,1,11,2,17,1,11,2,17,1,11,3,12,1,10,1,17,1,12,1,11,1,17,1,11,1,17,1,12,4,11,1,12,2,17,1,11,1,17,5,11,1,12,1,17,5,12,2,17,12,11,2,10,1,11,1,12,2,11,1,17,2,12,2,11,1,17,1,12,1,9,1,11,1,12,1,11,2,12,1,11,2,17,1,11,1,12,2,11,1,17,6,12,3,17,1,11,1,17,2,11,1,17,1,12,1,17,1,10,1,11,1,17,2,11,3,12,2,17,2,12,1,11,2,17,1,12,1,11,1,17,9,12,1,17,1,12,1,17,5,12,1,17,2,12,1,17,2,10,1,11,1,10,1,12,1,10,3,11,1,17,1,12,1,17,3,11,2,12,1,17,5,12,1,17,4,12,1,11,1,10,1,8,2,9,2,8,1,11,1,9,1,10,1,17,3,10,1,30,1,28,11,30,1,7,1,17,3,16,1,11,1,10,1,8,1,9,1,8,1,6,1,8,1,13,1,8,1,13,1,11,2,16,1,17,2,13,1,28,2,29,1,28,2,9,1,17,1,9,1,6,2,13,2,8,1,28,21,}, {28,24,30,3,6,1,30,1,6,2,8,1,13,1,6,1,8,1,14,1,24,1,6,1,29,3,30,1,28,1,13,1,17,2,16,1,28,1,13,3,9,1,6,1,13,1,30,1,7,1,13,1,12,2,8,1,29,1,13,1,6,1,8,1,13,1,8,1,12,1,9,1,8,1,13,1,6,1,13,1,6,1,30,1,7,1,8,1,17,3,9,1,8,1,9,1,13,1,9,2,30,1,28,25,6,1,29,1,8,1,6,1,13,1,24,1,10,1,15,1,13,2,6,1,28,1,6,1,30,1,7,1,24,1,10,1,24,1,10,1,8,1,7,2,28,1,29,1,28,1,6,1,28,3,29,1,6,1,28,1,8,1,9,2,30,1,28,14,30,1,6,1,13,1,33,275,5,798,28,4,29,1,30,1,6,1,7,1,6,1,7,1,13,1,6,1,13,1,10,1,7,1,11,1,7,1,13,1,6,1,30,1,6,1,29,1,7,1,13,1,6,2,13,1,24,1,10,1,24,1,13,2,8,1,13,2,7,2,6,1,13,1,6,1,13,2,7,1,29,3,30,1,6,1,30,1,28,1,30,1,28,1,30,2,6,1,24,1,13,1,6,1,7,2,13,3,8,1,9,1,8,1,9,2,10,1,12,3,17,37,8,2,25,2,27,1,29,3,30,1,28,2,30,1,28,2,29,1,28,2,29,1,30,1,28,2,30,1,28,1,27,1,30,1,29,1,8,1,28,69,30,1,28,1,13,3,6,1,13,1,6,1,28,8,30,1,28,1,13,1,28,2,6,2,13,1,6,1,28,1,13,1,9,1,13,3,28,2,6,1,17,2,16,1,6,1,28,2,6,1,13,1,9,3,8,1,9,1,8,1,24,3,8,1,24,1,9,1,8,2,24,1,8,1,13,1,8,2,9,1,8,3,24,1,8,1,13,1,7,2,13,1,7,1,13,1,6,1,7,1,6,1,7,1,29,2,28,2,30,1,6,3,28,110,30,1,7,1,30,1,6,1,28,1,7,1,6,1,29,1,28,1,8,1,9,1,13,1,9,1,8,1,13,1,9,2,8,1,11,1,9,2,12,1,11,2,17,1,10,1,11,1,10,1,17,1,11,1,17,2,12,1,17,6,9,1,11,1,17,1,12,1,17,5,9,2,12,1,17,3,12,2,17,2,12,1,10,2,24,1,12,1,24,1,12,1,24,1,9,1,24,1,10,1,13,2,24,1,13,1,8,1,24,1,6,1,24,1,6,1,13,1,7,1,6,2,25,3,26,2,6,1,25,1,24,3,8,1,24,1,8,1,24,3,17,1,10,1,12,3,17,1,12,1,10,1,17,2,12,1,17,1,12,1,9,1,13,1,8,1,24,1,7,1,13,1,8,1,24,1,7,1,24,2,8,3,7,1,25,1,8,4,24,1,12,1,24,1,8,2,29,1,24,1,8,1,24,1,8,1,24,6,8,1,24,1,12,1,8,2,10,1,24,2,10,1,24,1,12,1,10,1,12,2,24,3,9,1,13,1,12,1,17,1,12,1,10,1,12,1,17,1,8,1,9,1,12,1,24,1,17,1,10,1,24,1,11,1,10,1,12,1,24,1,12,2,24,1,29,1,10,1,24,1,10,1,8,1,17,1,24,1,12,1,8,1,10,1,12,1,10,1,12,2,24,1,12,1,9,1,10,1,24,1,12,1,9,2,24,1,9,1,12,1,17,1,12,1,9,1,12,2,9,1,24,1,12,1,13,1,11,1,17,8,12,1,11,1,10,2,8,1,17,1,13,1,11,1,12,1,24,1,12,1,17,1,9,1,17,1,12,1,17,1,12,1,24,1,9,1,17,1,11,1,17,1,9,1,17,1,12,1,10,1,17,4,12,1,17,16,16,1,17,1,16,4,11,3,10,1,17,1,8,1,28,15,30,1,28,11,30,1,6,1,8,1,9,2,24,1,12,1,9,1,12,1,8,1,17,1,9,2,10,1,17,1,11,1,17,1,12,2,9,1,12,1,24,1,17,1,10,1,17,3,11,1,16,1,11,2,16,1,17,1,10,1,17,1,8,1,9,5,8,1,9,1,24,1,13,1,24,1,9,1,8,1,13,3,24,1,13,1,12,2,17,1,10,1,9,1,10,1,12,2,9,1,17,4,24,1,25,1,24,2,8,1,24,5,8,2,24,5,25,2,24,3,12,2,17,1,12,2,17,4,10,1,8,1,24,2,8,1,25,1,28,10,30,1,28,4,30,1,28,2,7,1,8,1,24,1,17,7,12,1,17,1,12,1,24,2,25,2,24,6,12,1,17,2,10,1,17,13,12,3,11,1,17,18,11,1,17,11,12,2,17,2,11,3,17,1,11,1,12,2,17,2,11,1,12,2,11,4,17,2,11,1,12,1,17,2,11,1,17,1,12,2,11,2,17,1,12,1,17,2,12,1,17,1,12,3,17,1,12,1,17,7,11,1,17,4,11,1,17,1,12,1,17,2,12,1,17,5,12,1,11,1,12,1,11,1,17,3,12,1,11,1,17,1,12,2,17,1,11,2,12,2,17,1,12,1,10,1,12,1,10,1,12,4,17,1,11,1,10,1,17,3,12,1,17,1,12,3,11,1,17,1,10,1,11,1,12,1,17,1,12,1,17,1,11,1,17,1,11,2,17,1,11,1,17,3,12,1,11,1,12,2,11,1,17,7,12,1,17,5,12,1,11,1,17,4,12,3,11,1,12,1,10,1,12,1,10,1,12,1,11,1,12,1,11,1,10,1,12,1,17,3,12,1,17,1,10,1,11,1,17,10,12,3,8,1,11,1,13,1,8,1,9,1,10,2,12,3,9,1,11,1,28,13,6,1,17,4,11,1,8,1,10,1,11,1,7,1,13,1,8,1,13,1,8,1,13,1,11,1,17,4,13,1,28,5,11,1,17,1,9,1,7,1,6,1,24,1,8,2,29,1,28,20,}, {28,23,30,1,28,1,30,2,29,1,13,1,6,1,13,1,24,2,6,1,10,1,14,1,9,1,6,1,29,1,30,1,29,1,30,1,28,1,13,1,17,2,11,1,28,1,13,4,8,1,6,2,30,1,7,1,11,1,17,1,9,1,13,1,8,2,13,3,15,1,11,1,8,1,29,1,7,1,6,1,13,2,7,1,6,1,10,1,17,2,12,1,13,1,24,1,9,1,13,1,8,1,30,1,28,3,29,1,28,18,30,1,28,4,6,1,7,1,8,1,24,1,13,1,15,1,8,1,13,1,30,4,29,1,24,1,9,1,24,1,9,1,24,1,6,1,29,1,28,1,6,1,29,2,6,1,30,1,28,1,30,1,29,1,6,1,8,1,15,1,12,1,30,1,28,15,6,2,5,1,33,275,5,796,28,5,6,1,30,1,13,2,6,1,13,1,29,1,6,1,13,1,8,1,10,1,8,1,7,1,13,2,28,1,6,1,13,3,7,1,13,1,8,1,24,1,9,1,8,1,13,3,6,2,13,2,7,1,13,2,6,2,7,1,30,1,28,1,30,2,28,1,30,2,28,3,6,1,7,1,24,1,13,4,29,1,8,1,7,1,12,1,17,1,10,1,11,1,12,1,17,1,10,1,12,1,10,1,12,1,17,20,12,1,17,15,29,1,8,1,7,1,26,1,27,1,25,1,29,1,27,2,28,1,30,1,26,1,29,1,30,1,28,1,30,1,28,3,30,2,29,1,28,1,30,1,27,2,24,1,28,74,6,1,13,1,6,1,28,1,6,1,28,16,6,1,8,2,30,1,28,1,9,1,30,1,6,1,11,1,16,1,9,1,13,2,7,1,8,1,9,3,13,1,6,1,13,3,8,1,24,2,8,1,24,2,8,2,9,1,8,1,13,1,6,1,7,1,24,1,13,1,9,1,24,1,13,1,24,1,8,1,29,1,8,2,13,1,7,1,30,1,7,1,29,1,6,1,29,1,30,1,29,1,30,1,6,1,7,1,28,110,30,1,13,1,28,1,29,1,6,1,29,2,13,1,6,1,13,2,8,1,13,2,6,1,8,2,9,4,11,1,12,1,10,2,11,2,17,1,12,1,11,2,17,6,12,2,17,2,12,1,11,2,10,1,12,1,17,3,12,1,10,1,17,4,9,1,17,2,9,1,12,2,24,1,17,1,9,1,24,2,8,1,9,1,24,1,8,2,13,1,24,1,8,2,24,1,7,1,13,1,6,1,24,1,6,1,29,1,24,1,29,1,7,1,6,2,25,1,8,1,25,1,24,2,8,1,24,1,8,1,24,3,10,3,12,3,17,1,12,1,17,3,10,1,17,1,8,1,24,1,7,1,13,1,8,2,7,1,6,1,25,3,24,1,10,1,26,2,27,1,26,1,27,1,25,2,8,1,25,1,24,1,8,2,10,1,8,2,24,1,9,1,24,1,13,1,8,1,24,2,12,1,24,3,9,1,12,1,8,1,24,1,12,1,24,1,10,1,24,1,10,1,12,1,24,2,9,1,8,1,24,1,12,1,9,1,10,1,17,1,24,1,8,1,9,2,17,1,24,1,12,1,9,1,10,1,24,1,12,1,10,3,24,2,8,3,9,1,24,1,10,1,24,1,8,1,10,1,8,1,24,2,10,1,17,1,9,1,10,1,24,2,8,1,9,1,24,1,12,1,9,2,24,2,9,1,24,1,12,1,17,1,9,1,11,1,10,2,24,1,16,1,17,4,16,1,17,3,12,1,17,1,11,1,9,1,11,1,12,1,11,1,9,1,10,1,11,1,9,3,17,1,12,2,9,1,17,1,12,1,17,1,12,1,9,1,17,1,10,1,12,1,17,1,12,2,10,1,11,1,17,2,11,1,10,1,17,6,16,1,17,7,16,1,17,1,16,2,11,1,16,1,11,1,10,1,17,3,28,2,29,1,28,13,30,1,28,12,29,1,24,2,12,3,10,1,9,1,17,1,11,2,17,1,11,1,12,1,24,1,12,2,10,2,9,1,17,1,9,1,10,1,17,3,16,2,17,2,16,1,17,1,11,1,16,1,12,1,9,3,10,2,8,1,9,2,8,2,9,1,8,3,9,1,13,1,10,1,17,2,9,2,17,1,9,1,17,5,12,1,24,1,10,1,24,1,8,1,12,1,24,4,12,1,24,7,12,1,8,1,24,4,12,1,10,1,12,1,17,4,12,1,10,1,24,1,8,3,27,1,6,1,30,2,28,13,30,2,28,1,6,1,29,1,24,1,13,1,10,1,12,1,17,4,12,1,17,1,12,2,24,1,25,1,24,2,8,1,24,2,8,1,10,1,24,1,8,1,17,1,12,1,17,14,11,1,17,1,11,1,17,1,11,2,17,5,12,1,17,1,12,1,17,17,12,1,17,2,12,1,17,4,11,1,17,3,11,1,17,1,11,3,17,1,11,4,12,1,11,1,12,1,11,2,17,1,11,1,12,1,17,2,9,1,11,1,12,2,17,1,12,1,17,1,12,2,17,1,11,1,12,1,17,1,11,2,12,1,17,8,12,1,17,1,11,1,17,4,11,1,17,1,11,1,17,2,12,1,17,1,11,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,11,1,12,1,17,2,11,1,10,1,11,1,17,1,12,1,17,1,12,1,11,1,12,1,11,1,12,2,17,2,12,1,11,1,12,1,17,1,10,1,12,5,17,1,11,1,10,1,11,1,17,1,11,1,12,1,11,1,17,3,11,1,17,4,12,2,17,1,12,1,17,3,12,1,17,1,11,1,12,1,17,10,12,1,17,5,12,1,11,1,12,1,17,3,10,2,17,1,12,1,17,6,12,2,17,10,12,1,17,1,9,1,10,1,8,2,10,1,8,1,11,1,12,1,17,1,10,1,17,2,10,1,28,13,13,1,17,2,11,1,16,1,11,1,12,1,10,1,9,1,13,3,7,1,8,1,24,1,16,2,17,3,7,1,28,5,16,1,17,1,13,3,8,1,13,1,8,1,30,1,28,20,}, {28,26,30,1,28,1,6,1,30,1,6,1,9,1,24,1,6,1,9,1,17,1,9,1,30,1,28,1,6,1,29,1,6,1,28,1,7,1,17,2,9,1,13,1,6,2,13,2,7,1,29,1,6,3,8,1,17,1,8,1,13,1,8,1,13,2,7,1,8,1,10,1,15,1,9,1,13,1,24,1,6,1,7,1,6,1,7,1,29,1,9,1,12,2,9,1,24,1,13,2,8,2,29,1,28,24,30,1,28,3,6,1,8,1,10,1,24,2,6,1,13,1,6,1,28,1,29,1,28,1,30,1,13,1,24,2,12,1,24,1,8,1,13,1,6,2,30,1,28,1,30,1,6,2,29,1,6,2,13,1,11,1,10,1,6,1,28,15,13,1,9,1,33,278,5,794,28,4,13,1,28,1,13,3,7,1,13,1,6,1,13,2,24,1,8,1,9,1,13,1,7,1,29,1,7,1,13,1,6,1,8,1,7,1,8,1,13,1,8,1,24,1,8,1,13,1,8,2,13,1,7,1,8,1,29,1,7,1,6,2,7,1,6,3,30,1,28,1,30,1,28,1,30,1,28,3,30,2,13,3,9,1,13,3,8,1,9,1,13,1,12,1,9,1,11,1,12,4,17,1,12,1,17,10,12,1,17,25,9,1,7,1,8,1,6,1,27,1,25,1,27,1,25,1,27,1,25,1,30,1,27,1,28,2,30,1,29,1,30,1,28,3,29,1,28,1,27,1,28,1,27,1,26,1,30,2,28,75,6,1,28,2,30,2,28,15,29,1,6,2,17,1,16,1,17,3,11,1,17,1,9,3,13,1,8,1,9,2,13,2,28,1,6,1,8,1,7,1,8,1,7,1,24,1,7,1,13,1,8,1,29,1,24,1,13,2,24,2,6,1,13,1,8,1,9,1,7,1,8,1,24,1,13,3,6,2,7,1,29,1,6,2,30,2,6,1,29,2,28,112,6,2,28,1,30,1,6,1,30,1,7,1,29,1,13,2,8,1,7,1,9,1,13,2,9,2,8,1,10,1,8,1,12,1,9,2,17,1,10,1,12,1,9,1,10,1,11,2,17,11,12,1,11,1,12,2,11,1,17,6,12,1,17,3,11,1,10,1,12,1,17,2,9,1,10,2,24,1,12,1,8,1,24,1,8,1,24,1,8,1,24,2,7,1,13,1,8,1,7,1,29,1,25,1,8,1,6,1,25,1,6,2,27,1,25,1,7,1,25,1,8,1,25,2,7,1,8,1,13,1,10,2,24,1,10,1,12,1,10,1,17,1,12,1,17,1,12,1,11,1,12,1,17,2,9,2,11,1,13,1,8,3,6,1,24,1,25,1,24,1,12,1,24,2,8,2,25,1,8,1,26,1,29,1,25,3,6,1,10,1,8,1,24,2,8,3,24,2,13,1,12,1,24,2,10,1,8,1,10,1,24,1,10,1,24,1,8,1,17,1,24,2,8,1,24,2,12,1,9,1,10,1,12,1,10,2,8,1,9,2,12,1,24,1,12,1,17,1,9,2,24,1,12,1,8,1,12,2,24,1,12,2,9,1,10,1,8,1,24,1,10,1,7,2,24,1,12,1,10,1,8,1,12,1,13,1,24,1,12,1,10,1,24,1,9,3,10,1,11,1,17,1,9,1,12,1,24,1,9,1,17,1,10,2,17,1,10,1,9,1,11,1,17,1,8,1,11,1,8,1,12,2,17,9,10,1,17,2,13,1,11,1,10,1,17,1,10,1,9,1,12,1,9,1,17,2,8,1,17,1,11,1,8,1,9,1,10,1,24,1,17,1,9,1,12,3,17,1,11,1,17,10,11,1,17,8,16,1,17,2,16,1,17,1,16,1,11,1,16,1,11,1,17,2,10,1,28,16,30,2,28,10,30,1,13,1,12,1,8,1,10,1,8,1,11,2,12,2,9,1,8,1,12,2,10,1,24,1,9,1,17,1,10,1,17,1,12,1,11,1,9,1,17,1,11,1,17,3,16,1,11,1,17,2,16,1,11,3,10,1,8,1,11,1,9,1,11,1,8,1,9,1,8,2,9,1,24,1,9,1,8,1,9,1,13,1,17,3,11,2,17,1,12,1,9,1,12,1,24,1,17,3,12,1,10,1,12,1,8,1,12,2,24,1,12,1,24,1,12,1,24,1,12,1,17,1,24,2,12,2,24,1,12,1,24,5,12,1,17,1,24,1,12,2,10,1,12,1,24,2,8,1,25,1,8,1,6,1,29,3,28,18,30,1,6,1,30,1,29,1,8,1,24,1,17,1,12,6,24,1,8,2,24,1,8,2,24,1,8,1,12,1,24,3,12,1,17,15,12,1,17,1,10,1,11,1,17,6,11,1,17,1,11,1,17,1,11,1,12,1,17,10,16,1,17,5,12,1,17,7,12,1,17,1,11,3,12,3,10,1,12,1,9,1,17,1,11,3,12,2,11,1,10,1,9,1,11,1,17,1,11,1,12,1,17,1,12,2,17,1,12,1,9,1,17,2,11,1,17,2,11,1,17,8,12,1,17,2,12,1,17,3,11,1,17,3,12,1,17,3,12,1,17,1,12,1,11,1,17,2,12,1,17,2,12,3,10,2,12,2,11,1,17,1,12,1,11,1,12,1,11,1,12,1,17,1,11,1,12,2,17,1,11,2,17,1,12,1,17,1,10,1,11,4,17,1,12,1,17,1,11,1,10,1,11,1,17,1,12,3,17,3,12,1,17,1,11,1,17,1,11,1,17,6,12,1,17,3,12,1,17,4,12,1,17,6,12,1,10,1,11,1,17,1,11,1,12,1,17,2,11,2,12,2,17,1,12,1,17,1,11,1,17,1,12,1,17,1,10,1,17,10,10,1,17,1,12,2,9,1,8,1,10,1,9,1,10,1,8,1,11,1,12,1,17,2,8,1,28,13,13,1,17,2,16,1,17,1,11,1,9,1,10,1,13,3,7,2,8,1,9,1,16,1,11,1,17,3,28,6,11,1,17,1,8,3,13,2,9,1,29,1,28,20,}, {28,7,29,1,28,14,30,1,28,3,30,1,29,1,6,1,7,1,13,1,6,1,7,1,13,1,8,1,10,1,8,1,29,2,30,1,29,1,30,3,17,2,9,1,13,1,6,1,8,1,9,1,6,1,13,2,29,2,7,1,10,1,17,1,13,1,8,2,6,1,8,1,7,1,6,1,9,2,8,2,6,1,13,1,30,1,6,1,7,1,13,1,24,1,17,2,9,1,8,1,13,1,6,1,24,1,13,1,6,1,28,27,29,1,6,1,8,1,7,1,9,2,8,1,6,2,29,1,6,1,28,1,29,1,8,1,24,1,8,1,10,1,9,1,8,2,28,1,29,1,30,2,6,1,30,2,29,1,30,1,13,1,8,1,9,1,10,1,6,1,30,1,28,10,6,1,28,3,13,1,9,1,33,281,5,790,6,1,28,4,13,1,6,2,7,1,30,1,13,1,7,1,13,1,9,1,8,1,13,1,10,1,13,1,7,1,6,2,29,1,8,1,13,1,9,1,6,1,10,1,13,1,9,2,8,1,7,1,8,1,13,1,7,2,6,1,7,2,13,1,7,1,6,1,7,2,28,2,30,1,29,1,6,1,28,3,30,1,28,1,29,1,24,1,8,1,7,1,9,1,8,1,7,1,8,1,13,2,11,1,12,2,10,1,11,1,17,1,12,1,17,21,12,1,17,17,8,3,27,4,25,4,8,1,27,1,26,1,30,1,29,1,28,3,29,1,28,1,27,2,29,2,27,1,26,1,28,75,6,1,30,1,28,3,13,1,28,16,30,1,28,1,6,1,8,1,13,1,9,2,17,2,11,1,13,1,9,1,11,1,8,1,10,2,13,4,30,1,6,1,29,1,7,1,6,1,13,1,6,1,13,1,8,1,6,1,24,1,6,1,13,1,24,1,13,1,9,1,7,1,8,1,24,1,29,1,8,3,6,1,13,1,6,2,7,1,29,1,30,1,28,1,29,1,30,2,6,1,28,113,30,2,6,2,13,1,7,1,6,1,13,1,8,2,9,1,8,1,13,1,9,1,8,1,11,1,9,2,10,1,9,1,12,1,11,1,17,1,9,1,12,1,10,1,9,1,12,1,17,1,12,2,11,1,12,1,17,6,11,1,12,1,9,1,12,1,11,2,12,1,11,1,17,6,12,1,9,1,17,1,10,1,17,1,12,1,17,1,12,2,8,1,24,1,8,1,24,1,9,1,7,1,24,1,8,3,7,1,8,1,7,1,8,3,13,1,6,3,25,1,13,1,7,1,8,3,7,1,8,1,24,1,10,1,9,1,24,1,12,1,10,1,12,1,17,1,9,1,17,3,12,1,17,4,11,1,10,1,12,1,8,1,24,1,13,1,8,1,7,1,24,1,8,1,24,2,25,2,26,1,29,1,27,2,29,1,26,2,8,1,27,1,8,2,29,1,10,1,25,1,6,1,24,1,10,1,24,1,13,1,8,2,24,1,8,1,24,3,12,1,24,2,10,3,12,1,13,1,12,1,8,1,24,2,13,1,10,1,8,1,12,1,24,1,10,2,12,1,24,1,9,1,10,1,24,1,12,1,17,1,9,1,24,1,12,1,10,1,12,1,10,3,12,1,8,1,24,3,12,1,13,1,10,2,13,1,17,1,24,2,9,1,10,2,12,3,24,1,8,1,10,1,9,1,24,1,17,1,12,1,9,1,12,1,24,1,17,1,10,1,17,1,11,2,9,1,10,1,9,1,17,7,12,1,17,1,12,1,17,2,11,2,17,2,9,1,12,1,9,1,24,1,12,1,17,1,9,2,10,1,9,1,11,1,9,2,12,1,9,1,12,1,24,1,17,2,12,3,17,1,11,1,12,1,17,1,11,1,17,5,16,1,17,9,16,1,17,2,16,3,10,1,11,1,17,2,8,1,28,13,30,2,28,9,30,1,28,2,30,1,6,1,24,1,8,1,9,3,12,1,11,1,12,1,9,1,17,1,12,1,17,1,9,1,10,1,12,1,10,1,17,1,9,1,12,1,9,1,11,1,12,1,11,1,17,1,12,1,17,2,11,1,16,1,11,1,17,2,11,4,9,4,13,1,9,1,11,1,9,1,10,1,8,1,9,2,10,1,12,1,17,3,11,1,17,3,12,2,17,1,9,1,10,1,12,1,17,1,12,1,10,2,24,1,25,1,8,1,24,2,12,2,15,1,12,1,24,2,10,1,12,1,24,1,17,1,12,1,24,2,12,2,24,1,17,1,12,1,24,1,12,1,24,1,8,1,24,2,25,2,27,1,30,1,28,2,6,1,28,17,6,1,28,1,30,1,27,1,26,1,8,2,12,2,17,1,12,1,24,1,10,1,12,1,15,1,24,5,8,1,25,1,8,1,24,1,12,1,24,1,12,1,17,15,11,2,17,10,11,1,17,11,11,1,17,1,11,1,17,8,11,1,17,3,10,1,11,1,12,3,11,1,17,1,11,1,17,1,11,1,12,1,11,1,10,1,17,2,11,2,17,1,12,1,17,1,11,2,17,2,9,1,17,1,11,1,17,2,12,2,17,1,12,1,17,1,11,1,10,1,17,9,12,1,17,3,11,1,17,1,12,1,17,5,12,1,17,2,9,1,17,2,11,2,12,1,11,1,17,1,11,2,17,1,11,2,10,1,17,1,10,1,11,3,17,1,12,1,17,1,12,1,17,7,11,1,12,1,17,2,12,2,9,1,17,1,12,1,17,1,12,1,17,1,12,6,17,1,12,1,17,3,9,1,17,2,12,1,17,1,12,2,17,2,12,1,17,4,11,1,17,1,12,1,17,12,11,1,17,1,12,1,17,1,12,2,11,1,12,1,17,1,9,1,17,2,12,1,9,1,17,1,10,1,12,1,17,12,12,1,9,1,11,1,8,2,10,2,12,1,17,3,8,1,28,13,13,1,17,5,9,2,8,1,6,2,13,1,7,1,8,1,9,1,10,1,17,4,30,1,28,4,30,1,17,2,24,1,6,1,10,1,6,1,8,2,30,1,28,20,}, {28,5,30,1,28,2,30,1,28,19,6,1,13,1,24,1,13,1,8,1,6,1,13,1,24,1,17,1,29,2,30,2,28,1,30,1,6,1,17,2,12,1,6,1,29,1,13,2,8,1,13,1,11,1,28,1,6,2,10,1,17,1,9,1,13,2,7,1,13,3,8,1,24,1,17,1,6,2,29,1,13,1,6,1,29,1,7,1,24,1,14,1,17,1,16,1,8,3,9,1,13,1,6,1,28,23,29,1,28,4,6,1,7,1,10,1,9,1,12,1,13,1,28,2,6,1,30,1,28,1,29,1,8,1,9,1,10,2,8,2,7,1,6,3,28,1,29,1,7,1,6,4,24,1,8,1,15,1,7,1,28,3,30,1,28,12,9,1,5,1,33,281,5,789,28,5,30,1,7,1,8,1,6,1,29,1,30,1,6,1,7,1,13,1,10,1,8,2,29,1,24,1,30,1,6,1,13,4,8,1,9,1,13,1,9,1,8,1,13,3,8,2,29,1,7,1,13,1,7,1,13,1,30,2,6,2,30,3,28,1,30,1,28,5,13,2,8,1,13,1,8,1,9,1,13,1,10,1,13,1,17,2,10,1,11,1,12,1,17,1,12,2,17,1,12,1,17,36,10,1,8,3,25,3,26,1,29,1,24,1,26,1,25,2,29,1,25,1,29,2,28,1,29,1,30,1,29,1,27,2,29,1,27,2,8,1,28,76,30,1,6,1,28,2,6,2,28,22,6,1,9,1,10,1,9,1,11,1,13,1,8,1,9,1,11,1,6,1,7,2,29,1,6,1,30,1,29,4,6,2,29,1,6,1,29,1,6,2,29,1,7,1,6,1,7,1,8,1,6,3,13,1,7,1,6,1,7,1,6,3,30,1,6,1,28,1,30,1,29,1,6,2,28,114,29,1,28,2,6,1,13,1,6,1,13,1,6,1,13,1,9,1,13,2,8,1,10,1,13,1,8,1,9,1,13,1,11,1,9,1,11,3,17,1,11,1,9,1,10,1,11,1,12,2,17,1,12,3,17,6,12,1,17,2,12,1,17,2,12,2,17,6,11,1,12,1,17,2,24,1,9,1,17,1,12,1,24,1,12,1,24,1,8,1,24,6,7,1,8,2,7,1,25,1,6,1,13,1,8,1,25,2,6,1,7,1,8,2,13,2,24,1,8,2,9,1,24,1,12,1,10,2,9,1,24,1,17,9,12,3,9,1,8,1,24,1,8,1,7,1,8,1,24,3,8,1,10,1,25,1,27,2,29,1,25,1,26,1,25,1,29,1,27,1,25,3,24,1,25,1,8,1,24,1,8,1,24,2,8,1,24,1,7,1,10,1,24,1,10,2,8,1,24,1,12,1,13,1,9,1,24,1,13,1,17,2,24,2,12,1,10,3,24,2,9,1,10,1,24,1,12,1,10,1,12,1,10,1,17,1,12,2,10,1,12,1,8,1,12,1,9,2,17,1,8,1,9,1,10,1,8,1,24,1,6,1,8,1,10,1,8,1,12,1,8,1,17,1,24,1,9,1,10,1,12,1,8,1,12,1,9,1,24,1,10,1,12,1,9,1,24,1,12,1,13,1,24,1,9,1,17,1,9,1,10,1,9,1,8,1,9,2,8,1,9,1,11,1,17,11,12,1,9,1,10,1,9,1,17,2,12,2,10,1,11,2,9,2,10,1,17,1,12,1,17,1,12,1,24,1,10,1,12,1,9,1,12,1,10,2,9,1,17,2,12,2,17,3,12,1,17,14,16,1,17,1,16,1,11,2,17,3,28,13,30,2,28,1,30,1,28,11,7,2,13,1,17,1,12,1,17,1,12,1,10,1,9,1,12,3,11,1,17,2,10,1,11,1,10,1,11,1,12,3,8,1,9,1,12,1,11,2,17,1,11,1,16,1,17,1,16,1,17,2,16,1,11,3,10,1,11,2,8,1,11,1,9,3,10,1,9,1,10,1,9,1,17,9,12,1,17,2,11,2,10,1,24,1,17,1,24,1,8,1,24,2,17,1,12,1,24,1,17,1,12,2,10,1,17,1,24,1,17,4,12,1,10,1,12,1,24,1,12,3,24,1,12,1,24,1,12,1,24,2,25,1,29,2,30,1,29,1,28,1,30,1,28,15,29,1,28,1,30,1,28,2,29,1,28,1,25,1,29,1,25,1,10,1,17,2,12,1,17,1,12,1,24,1,10,1,12,1,24,4,25,1,8,2,24,1,12,1,10,1,24,1,12,1,17,14,11,2,17,2,11,1,17,20,11,1,17,4,12,1,17,4,12,1,17,3,11,2,12,1,17,1,12,1,11,1,12,1,11,1,17,1,9,1,17,2,11,4,10,1,17,1,11,2,12,1,11,1,12,1,17,2,12,1,11,3,17,3,11,1,17,2,11,1,17,1,10,1,17,6,12,1,17,7,11,1,17,2,12,1,17,6,10,1,11,2,9,1,11,1,12,2,17,1,12,2,17,1,10,1,17,1,10,1,11,2,12,3,11,1,12,1,11,1,17,2,12,2,17,1,12,1,17,2,10,1,17,1,12,1,11,1,9,1,17,2,11,1,10,1,11,1,12,1,17,1,11,1,17,3,12,1,17,2,12,1,17,1,11,1,17,1,12,1,17,1,11,1,17,2,12,1,17,3,12,1,17,13,12,1,17,1,12,1,11,1,12,1,17,3,11,1,17,1,11,1,12,1,17,1,12,1,17,3,11,2,12,1,11,2,17,9,12,1,17,1,11,1,8,1,10,2,9,2,12,1,9,1,10,1,17,2,8,1,28,7,30,1,28,2,30,1,28,2,11,1,17,4,9,2,11,1,13,2,6,1,7,1,13,2,9,1,11,1,17,4,6,1,28,4,30,1,17,2,13,1,8,3,13,2,30,1,28,20,}, {28,8,30,1,28,16,7,1,28,1,29,1,30,1,13,1,8,1,24,1,7,1,24,1,13,1,8,1,12,1,13,1,6,1,28,1,29,1,30,1,28,1,7,1,17,2,9,1,13,1,7,1,13,2,9,1,8,1,13,1,6,1,29,1,13,1,24,1,17,1,11,1,13,1,6,1,7,1,6,3,8,1,9,2,6,1,13,1,28,1,6,3,29,1,8,1,14,1,17,1,16,1,8,1,9,1,13,1,9,1,8,1,6,1,28,19,30,1,28,1,30,1,28,6,13,2,10,1,9,1,15,1,12,1,13,1,28,1,30,1,29,1,6,1,28,1,13,1,8,1,15,1,9,1,15,1,24,1,13,2,6,1,29,3,30,1,6,1,29,1,13,1,7,1,8,1,9,1,10,1,8,1,30,1,28,14,6,1,13,1,33,286,5,784,30,1,28,3,30,1,13,1,6,1,7,1,13,1,6,1,13,1,7,1,13,1,7,1,13,2,24,1,6,1,13,2,7,1,13,2,8,1,13,1,6,1,13,2,8,1,10,1,8,3,13,1,7,1,8,1,13,2,30,1,6,1,30,2,7,1,30,4,28,1,30,2,28,3,29,1,30,1,7,1,24,1,8,1,13,1,9,1,8,2,12,1,17,2,9,2,12,1,17,1,12,2,17,14,12,1,17,23,12,1,9,1,8,1,13,1,25,3,29,1,25,2,27,1,24,1,27,1,25,1,27,1,25,1,27,3,25,1,27,1,26,1,29,1,25,1,26,1,27,1,24,1,28,81,13,1,7,1,28,24,9,1,17,2,9,1,11,1,10,1,13,1,30,1,28,1,30,2,28,2,30,2,28,1,29,1,30,1,29,1,6,2,7,1,29,2,7,1,6,1,7,1,13,2,7,2,13,1,8,1,28,1,7,1,30,2,28,1,30,1,28,1,30,1,6,1,29,2,7,1,28,112,30,1,28,2,30,1,29,1,28,1,6,1,30,1,8,1,30,1,13,1,8,4,10,1,9,9,11,2,17,1,9,1,17,1,9,1,10,1,12,3,17,1,12,2,17,7,12,5,9,1,11,1,17,4,12,1,17,1,11,1,17,1,12,1,17,2,9,1,17,1,8,1,10,1,9,1,8,1,12,1,9,1,13,1,6,1,8,3,6,1,8,2,25,1,24,2,7,2,6,1,13,1,8,1,7,1,24,1,8,1,13,1,8,1,24,2,17,1,10,2,12,2,9,1,17,3,11,1,17,7,12,1,9,1,12,1,8,1,9,1,13,1,7,1,24,1,17,1,24,1,25,1,8,1,24,1,26,1,25,1,26,1,25,1,29,1,27,2,25,2,28,1,25,4,8,1,24,1,8,1,7,1,10,1,24,4,7,1,12,1,24,1,12,3,24,3,12,1,9,1,13,1,17,1,9,1,17,1,13,1,9,1,10,1,12,1,10,1,12,1,9,1,12,1,8,3,10,1,17,1,12,1,24,1,12,1,24,1,12,1,10,1,8,1,10,2,8,1,24,2,10,1,24,3,13,1,12,1,10,1,7,1,9,1,24,1,10,1,8,1,12,1,13,1,9,1,10,1,9,1,8,1,24,1,9,1,17,1,24,1,10,1,17,1,9,3,10,1,9,1,17,1,9,2,11,2,17,8,16,1,17,1,16,1,17,2,11,1,16,1,12,2,17,1,10,1,17,1,8,1,10,1,12,1,11,1,9,2,10,1,8,1,10,1,12,1,10,2,9,1,12,2,9,1,12,1,10,1,12,1,10,3,12,1,17,9,12,1,17,8,16,1,11,1,16,2,17,2,9,1,28,3,30,1,28,10,30,1,28,1,30,1,28,10,30,1,29,1,8,1,13,2,9,1,10,1,12,1,9,1,12,2,17,5,12,1,11,1,12,1,17,1,10,1,12,1,24,1,12,1,9,1,17,1,9,1,17,3,11,1,17,1,16,1,17,1,11,2,17,1,16,2,10,1,11,1,9,2,13,1,9,1,10,1,9,4,11,1,17,4,12,1,17,6,10,1,17,4,12,1,8,2,10,1,24,3,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,2,12,2,10,1,12,1,17,1,12,5,24,3,27,1,25,1,27,1,30,1,28,1,29,1,28,21,29,1,27,1,26,1,25,2,8,2,24,1,10,1,12,1,24,1,17,1,12,2,24,3,12,1,24,2,8,1,12,2,15,1,12,1,17,1,10,1,17,3,12,1,17,9,11,1,17,2,12,1,11,2,17,8,10,1,17,1,12,1,17,8,12,1,17,4,12,1,17,6,12,1,17,4,11,1,17,2,11,2,12,2,11,2,17,1,12,1,11,2,9,1,11,1,17,1,12,1,17,1,12,1,17,2,11,3,17,1,11,1,12,2,17,2,12,1,11,2,17,6,12,1,17,2,12,1,17,1,12,1,17,1,11,1,12,1,17,8,12,3,11,1,17,2,12,1,17,1,12,3,11,1,17,1,12,2,17,2,10,1,12,1,11,1,17,1,11,1,17,2,11,1,17,1,10,2,12,1,17,1,11,1,12,1,17,1,10,1,12,5,11,1,10,1,11,1,17,1,11,1,17,1,11,3,12,1,11,2,17,1,12,1,17,2,12,1,17,1,11,1,17,5,11,1,17,2,12,1,17,13,12,1,17,1,12,1,17,3,12,1,17,3,12,1,17,3,11,1,17,1,11,3,17,1,11,1,17,9,12,1,17,1,11,1,12,1,10,1,9,1,10,1,11,1,17,1,9,1,12,1,17,1,12,1,8,1,28,13,16,1,17,3,10,1,11,1,10,1,9,1,13,3,6,2,8,1,9,1,16,2,17,3,28,6,17,2,9,1,13,1,8,1,13,1,8,1,13,1,28,21,}, {28,3,30,1,28,21,30,1,6,1,30,1,28,1,8,1,24,1,8,1,9,1,13,1,10,1,12,1,9,1,13,1,6,3,30,2,6,1,11,1,17,2,13,3,9,1,6,1,24,1,8,1,7,2,6,1,13,1,17,1,24,1,13,3,6,2,24,1,9,1,10,1,8,1,13,1,7,1,6,1,28,1,13,1,6,1,13,2,14,1,17,1,14,1,8,2,13,1,8,1,9,1,30,2,28,26,30,1,7,1,8,1,12,1,9,1,15,1,10,1,7,1,28,1,6,1,28,2,30,1,8,1,24,1,12,1,15,1,10,1,8,1,6,1,8,1,6,1,30,1,6,1,13,1,6,1,28,1,7,1,28,1,13,1,8,1,10,1,8,2,28,15,30,1,9,1,5,1,33,288,5,781,28,6,8,1,13,1,29,2,30,1,28,1,7,1,8,2,9,1,8,1,6,1,13,1,6,1,29,1,8,1,13,1,8,1,13,2,8,2,13,1,24,1,7,2,8,1,7,1,13,1,7,1,6,1,13,1,6,1,7,2,29,1,6,1,30,5,28,1,30,1,28,2,29,1,6,3,13,1,8,1,13,1,8,2,9,1,17,3,12,1,17,1,12,2,17,8,12,1,17,31,12,1,30,1,6,1,24,1,25,3,24,1,27,1,25,1,27,1,25,5,27,1,25,1,27,1,25,1,27,1,26,2,25,2,8,1,24,1,28,81,9,1,28,27,9,1,11,1,9,1,7,1,30,1,28,3,30,1,28,5,30,2,29,1,6,2,29,1,6,3,7,1,6,1,8,1,6,1,7,2,6,1,28,1,30,1,28,1,6,1,28,1,30,5,28,1,6,1,30,1,28,116,6,1,30,1,13,1,7,1,13,2,8,2,7,1,13,1,10,1,9,1,8,1,9,1,8,1,9,2,13,1,9,1,10,1,17,1,9,1,11,1,9,1,11,1,10,1,8,1,9,1,12,1,11,1,17,1,12,2,10,2,11,1,17,1,12,1,11,1,17,1,12,1,17,2,9,1,12,1,10,1,12,1,17,11,11,1,10,1,17,1,10,1,9,1,24,1,8,1,24,1,13,1,8,1,12,1,29,1,8,2,13,1,7,2,13,1,8,2,7,1,8,1,7,1,8,1,24,1,8,2,24,2,10,1,24,1,10,1,9,2,10,1,17,1,12,2,17,1,11,1,17,10,12,1,11,1,8,1,24,1,8,2,24,1,12,1,13,2,24,1,8,1,6,1,8,1,29,2,25,2,27,1,25,1,29,1,24,2,26,1,24,1,8,1,25,1,24,1,6,1,10,1,24,1,8,1,24,1,10,1,8,1,24,1,10,1,12,1,10,1,24,1,8,1,10,1,8,1,9,1,17,1,12,2,24,3,10,2,24,1,12,1,17,1,12,1,24,1,12,1,13,1,10,1,9,1,24,2,12,1,8,1,17,1,9,2,12,1,9,1,12,1,24,1,8,2,24,4,12,2,13,1,12,3,8,1,9,2,10,1,12,1,9,2,24,1,10,1,9,2,12,1,24,1,9,1,10,2,9,1,8,1,9,1,12,1,8,1,13,1,8,1,17,9,11,1,17,3,11,2,9,1,10,1,12,1,17,1,9,1,8,1,9,1,12,1,11,1,8,1,17,1,12,2,9,1,10,1,12,1,9,1,12,1,10,1,8,2,17,1,12,1,9,1,12,1,10,1,17,2,10,1,17,1,11,1,17,8,16,1,17,1,16,1,17,7,16,3,17,2,9,1,28,13,30,2,29,1,30,1,28,7,30,1,29,1,28,1,29,1,7,1,8,1,12,1,13,1,9,1,10,1,9,1,11,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,13,1,17,1,24,1,11,2,12,1,8,1,17,1,11,1,17,3,16,2,17,2,11,2,16,2,9,1,16,1,11,1,17,1,11,2,8,1,11,2,9,2,11,1,17,2,9,1,17,13,10,1,17,1,24,2,10,1,12,1,24,1,10,1,17,3,12,1,17,1,12,1,17,2,12,1,17,1,10,1,12,1,10,1,17,1,12,1,17,1,24,1,12,2,24,1,10,1,24,1,25,2,26,1,27,1,28,1,29,1,28,2,30,1,28,20,29,1,27,1,30,1,29,1,27,1,25,3,24,1,12,1,17,2,24,1,8,1,12,1,24,4,25,1,24,4,17,1,24,1,12,2,17,14,12,1,11,2,12,1,17,8,12,1,17,1,12,1,17,9,12,1,17,12,11,1,17,1,11,1,17,1,11,1,12,1,17,1,11,2,17,1,12,1,17,1,11,1,17,1,11,1,12,1,17,1,11,1,17,7,12,1,11,2,12,1,11,1,17,1,10,2,17,1,12,1,17,1,12,1,17,1,12,1,17,14,12,2,17,1,12,1,11,1,17,2,12,1,17,3,10,1,11,1,10,1,12,1,17,1,11,1,17,2,10,1,17,3,10,1,11,2,12,1,17,2,12,1,17,1,10,1,9,1,12,2,17,2,11,1,12,1,17,1,12,2,11,4,12,1,11,2,17,3,12,1,17,1,11,1,17,1,12,1,11,1,17,1,10,1,17,1,12,1,17,1,11,1,12,1,17,1,11,1,12,3,17,1,12,1,17,1,12,1,17,1,11,1,17,6,11,1,17,1,12,1,17,9,11,1,17,1,12,1,17,5,11,1,17,2,10,1,11,1,17,11,10,1,12,1,9,2,10,1,17,1,10,2,17,1,12,1,17,1,13,1,28,13,16,1,17,2,16,1,9,1,17,1,13,1,8,1,13,1,7,1,13,1,8,1,13,1,8,1,9,1,16,2,17,2,11,1,28,6,17,1,9,1,8,1,13,1,24,2,8,2,28,21,}, {28,8,30,1,28,15,30,1,28,3,29,1,6,1,9,1,24,1,9,1,8,1,9,1,17,2,13,1,30,1,6,2,29,1,6,1,13,1,17,3,13,1,8,2,24,1,29,1,9,1,13,1,6,2,13,1,6,1,17,1,12,1,13,1,29,1,6,2,13,2,9,1,24,1,10,1,8,3,28,1,6,2,7,1,13,1,17,1,14,2,13,1,9,1,13,1,9,1,8,1,6,1,28,27,6,1,8,1,24,1,10,1,15,1,17,1,8,1,6,1,28,1,29,2,6,2,13,1,9,1,24,1,15,1,9,1,13,1,7,1,6,2,29,1,7,1,30,1,29,2,30,1,6,1,24,1,12,1,15,1,9,1,13,1,30,1,28,14,30,1,13,1,33,290,5,779,6,1,28,5,30,1,13,2,29,1,13,2,6,1,13,2,8,1,13,2,6,1,13,1,29,1,7,1,6,1,8,1,9,1,13,2,6,1,13,1,24,1,9,1,13,1,8,1,7,2,13,1,29,1,13,1,6,1,7,2,28,1,30,1,6,1,28,2,29,1,30,3,28,2,30,1,29,1,7,3,24,1,9,1,24,1,8,1,24,1,17,4,11,1,17,1,12,1,17,42,13,1,8,3,26,1,8,1,25,1,27,1,25,1,24,1,25,1,26,1,25,1,8,1,29,1,25,2,27,1,24,1,27,1,25,2,8,3,28,125,6,1,29,1,30,1,6,1,29,1,6,3,7,1,8,1,6,1,30,1,29,1,6,1,7,1,30,3,28,3,30,1,29,1,30,4,28,115,6,1,30,1,13,1,30,1,28,2,13,5,8,1,9,2,8,3,9,2,11,1,10,1,9,2,17,1,12,1,9,1,11,2,9,2,10,1,11,1,17,1,10,1,12,1,17,1,12,1,17,1,9,1,12,3,10,1,12,1,11,1,8,1,10,1,9,1,11,1,12,1,9,1,17,10,10,1,17,1,12,1,24,1,8,1,9,1,10,1,8,2,24,1,13,1,24,1,13,2,8,1,13,1,24,1,8,1,13,3,8,1,13,1,24,1,8,1,24,1,10,2,24,3,9,1,24,2,12,2,17,2,11,1,17,10,12,1,17,1,9,2,11,1,17,1,24,2,8,1,24,1,13,1,24,1,6,1,24,1,25,1,6,1,25,1,8,1,27,1,25,3,26,1,29,1,8,2,24,1,8,2,6,1,24,9,9,1,12,1,24,2,17,1,12,2,10,1,8,1,12,1,13,1,10,1,24,2,8,1,9,1,12,1,24,1,10,2,12,1,8,1,17,1,24,1,9,1,17,2,10,1,12,2,8,1,12,1,10,1,12,1,24,1,9,2,24,2,12,2,10,1,8,1,9,1,10,1,12,1,8,1,10,1,9,1,24,2,8,1,9,1,10,1,9,1,24,2,9,1,11,1,9,2,16,1,17,2,12,1,16,1,7,1,17,11,16,1,17,1,11,1,10,1,17,1,10,1,9,1,17,1,12,1,24,1,12,1,24,1,12,1,10,1,24,1,11,1,12,1,10,2,9,1,24,1,10,1,12,3,10,1,12,4,9,1,17,1,9,2,17,1,10,1,12,1,17,1,12,1,17,17,16,1,17,2,12,1,28,1,29,1,28,8,30,1,28,2,30,2,28,7,30,1,28,2,30,2,28,1,29,1,6,1,10,1,24,1,8,1,24,1,11,1,12,1,11,1,17,1,12,1,17,5,9,1,10,1,12,3,17,1,24,1,11,1,12,1,9,2,12,1,17,3,16,1,11,2,16,2,11,1,16,1,10,1,17,1,16,1,9,2,11,1,9,2,17,20,12,1,24,5,15,1,17,4,12,1,17,2,12,1,9,1,24,3,12,1,8,1,24,6,25,3,26,1,27,1,6,1,30,1,28,1,30,1,28,22,30,1,28,1,30,1,27,3,8,1,27,1,24,1,8,1,17,2,24,1,12,1,24,1,10,1,24,1,25,1,24,1,25,1,24,2,15,1,8,1,12,2,10,1,17,12,12,1,17,1,11,1,17,1,12,2,17,10,11,1,17,9,12,1,17,12,11,2,12,1,17,1,12,1,17,1,11,1,12,1,17,2,12,1,17,1,11,1,12,2,17,1,10,2,12,1,17,1,11,2,12,1,17,2,11,1,17,4,11,1,17,1,12,1,9,1,12,1,11,1,17,3,11,1,17,1,12,1,17,2,12,1,17,4,11,1,9,1,17,3,12,1,17,3,11,1,12,1,17,2,12,1,11,1,17,3,12,2,17,1,11,1,17,1,11,2,17,4,11,1,17,3,11,1,12,1,11,1,17,1,11,1,12,1,17,1,11,1,17,4,12,1,17,1,11,1,12,1,11,1,12,1,11,1,17,3,12,1,17,1,12,2,11,1,17,3,12,3,11,1,17,4,12,1,17,2,12,1,17,9,12,1,17,6,11,1,17,6,12,1,17,1,12,1,17,1,11,1,17,3,11,1,17,1,11,1,17,2,11,1,17,11,11,2,9,2,8,1,9,2,12,1,17,3,30,1,28,13,14,1,17,3,10,1,11,1,8,1,9,1,13,3,6,1,13,2,8,1,11,1,17,4,28,5,29,1,17,1,9,1,8,1,13,1,8,1,13,1,8,2,28,21,}, {28,10,30,1,28,2,29,1,28,14,6,1,29,1,8,1,15,1,24,1,8,1,9,1,17,3,8,1,6,1,30,1,29,1,28,1,29,1,17,3,16,1,8,1,9,1,24,2,8,1,6,1,7,1,29,1,7,1,13,1,17,1,11,1,10,1,13,1,9,1,13,1,8,1,13,1,24,1,9,1,11,1,13,3,30,1,29,1,6,2,8,1,17,3,13,2,9,3,28,1,30,1,28,25,30,1,28,1,8,1,9,1,24,1,15,1,10,1,24,1,29,2,30,1,28,1,30,1,28,1,6,1,8,1,10,1,17,1,10,1,13,3,30,1,6,1,29,2,28,1,29,1,28,1,7,1,8,1,24,1,10,1,9,1,8,1,28,16,13,1,5,1,33,291,5,777,28,5,6,2,13,3,6,1,13,2,9,1,13,1,7,1,13,2,7,1,13,1,30,1,13,1,29,1,8,1,13,1,7,1,13,1,8,1,13,1,9,2,13,1,9,1,28,1,13,1,7,1,30,1,8,1,6,2,7,1,30,1,6,1,28,2,6,1,29,1,30,1,6,1,28,2,30,1,6,2,7,1,29,1,24,1,10,1,24,1,7,2,8,1,17,3,12,1,17,44,11,1,24,1,13,2,8,1,25,3,8,1,25,1,8,1,25,4,8,2,29,1,25,1,24,1,25,2,8,2,24,1,28,18,6,1,28,58,29,1,13,1,6,1,28,50,30,1,28,1,29,1,8,1,29,3,28,3,29,1,30,1,28,2,29,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,28,116,30,3,6,1,13,1,9,1,13,1,6,1,8,1,9,1,13,2,9,2,8,1,10,1,9,2,10,1,8,2,9,1,17,2,9,3,11,1,13,1,8,1,9,1,11,2,12,1,11,2,17,1,9,1,12,2,17,1,11,1,12,2,9,1,12,1,11,1,12,1,10,1,11,2,17,4,9,1,17,3,12,1,17,1,9,2,10,1,12,1,10,1,9,2,10,1,13,2,8,2,13,1,8,3,6,1,8,3,13,1,24,1,13,1,24,3,9,1,10,2,9,1,12,1,17,1,10,1,17,1,12,1,17,1,10,1,17,17,12,1,8,2,13,1,24,1,6,1,24,1,8,2,25,1,8,2,26,1,25,2,27,2,25,1,24,1,25,1,8,1,25,2,6,1,24,2,8,1,24,1,12,1,24,3,10,1,8,2,10,1,12,1,10,2,8,1,24,1,12,1,10,1,8,1,9,4,10,1,24,1,9,1,12,2,9,1,12,2,10,1,24,1,10,1,12,1,13,1,17,1,10,1,9,2,24,1,9,1,24,1,9,3,8,1,24,1,12,1,8,1,10,1,8,1,12,1,8,1,9,1,10,1,9,1,8,1,24,1,10,1,24,1,9,1,12,1,8,1,10,1,9,1,17,1,13,1,12,1,9,2,12,1,11,2,16,1,11,1,17,13,16,1,17,2,16,1,17,1,10,3,11,1,12,1,24,2,11,1,9,1,10,2,24,1,10,1,24,1,9,4,24,1,12,1,8,1,17,1,11,1,24,1,10,1,12,1,11,1,12,1,9,1,17,2,11,1,17,20,12,1,28,3,30,1,28,6,30,1,28,1,29,2,30,1,28,1,30,1,28,6,30,1,28,1,29,1,28,1,29,1,6,1,7,1,6,1,13,1,8,1,24,1,9,1,12,2,17,5,12,1,11,2,9,1,10,2,17,1,9,2,12,1,17,1,12,1,17,5,11,1,16,1,11,4,16,1,11,1,16,1,11,2,17,1,11,1,16,1,11,1,17,4,16,3,12,1,17,11,12,1,17,1,12,1,10,3,24,1,12,1,10,1,17,3,12,1,10,1,8,1,7,1,6,1,30,1,26,1,24,2,25,1,24,2,8,2,26,1,25,1,8,1,29,1,25,1,29,1,30,1,27,1,28,26,29,1,30,1,27,1,25,1,27,2,25,3,24,1,12,2,17,1,8,1,12,3,24,2,12,1,24,2,12,2,17,1,24,1,12,1,17,4,16,1,17,6,12,1,17,3,10,1,17,1,12,1,17,5,12,1,17,3,12,1,17,1,12,1,17,7,12,1,17,17,11,1,12,1,17,1,11,1,17,2,11,2,17,1,11,1,10,1,12,1,17,1,12,1,11,2,17,1,12,1,17,1,11,1,10,1,12,1,17,1,12,1,17,1,12,2,11,4,12,1,11,1,17,2,12,1,17,5,12,1,17,3,12,1,17,6,11,1,17,1,11,2,12,2,10,1,17,1,12,1,17,1,10,1,12,2,11,1,12,1,17,3,12,1,17,2,11,1,17,2,12,1,17,1,12,1,17,2,11,2,12,1,11,1,12,1,11,2,10,1,12,1,17,1,11,1,10,1,12,1,10,1,17,1,12,1,17,3,11,2,12,1,17,1,11,1,12,1,17,1,10,1,12,1,17,2,12,1,11,1,17,1,11,1,12,1,11,2,12,1,17,1,12,2,17,2,12,1,17,9,11,1,17,6,11,1,17,10,12,1,17,1,11,2,17,11,12,1,11,1,9,1,10,1,9,2,12,1,17,1,11,1,12,2,6,1,28,13,17,4,10,1,9,1,10,1,9,1,24,1,13,1,30,1,6,2,13,1,9,1,16,2,17,2,10,1,28,5,29,1,17,1,11,1,8,2,13,2,8,1,24,1,28,21,}, {28,6,30,1,28,7,30,1,28,11,30,1,28,1,29,2,13,1,12,1,9,2,11,1,12,1,17,2,6,2,30,1,6,1,30,1,28,1,8,1,17,1,16,2,9,1,24,2,8,2,24,1,6,1,28,1,6,1,30,1,17,2,13,1,9,1,8,1,13,1,8,1,6,1,24,1,12,1,9,1,13,1,6,1,13,1,6,1,30,2,7,1,6,1,17,3,9,1,13,1,10,1,13,1,12,1,29,1,28,25,29,1,7,1,6,1,13,1,24,1,9,1,8,1,10,2,13,1,28,2,6,1,28,1,13,1,7,1,13,1,9,1,17,1,8,1,24,1,6,2,29,1,6,4,29,1,6,1,30,1,6,1,13,1,9,1,8,2,28,15,30,1,9,1,33,295,5,774,28,5,7,1,8,1,6,1,29,1,13,1,7,2,8,1,13,1,8,1,13,2,8,1,7,1,6,1,7,1,6,1,8,1,13,1,24,1,13,1,7,1,24,2,10,1,13,2,24,1,6,1,7,2,8,1,6,1,13,1,7,1,6,1,30,1,29,1,6,1,28,1,30,2,28,1,30,1,28,2,30,1,13,2,30,1,8,1,24,1,10,1,8,1,10,2,17,3,12,2,17,8,12,1,17,7,12,1,17,26,10,1,17,1,9,1,7,1,13,1,8,1,25,1,24,1,8,1,25,3,8,1,25,2,8,2,26,1,27,1,25,2,8,3,10,1,29,1,28,133,6,1,29,1,28,5,30,1,28,9,30,1,28,115,29,1,28,1,30,3,6,2,29,1,13,1,8,1,13,2,8,2,13,1,12,1,8,1,9,1,10,1,9,1,11,1,12,1,9,1,8,1,11,2,12,1,11,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,1,11,1,9,1,8,1,11,1,9,1,12,1,17,1,9,1,11,1,12,2,9,1,11,1,10,1,17,1,11,1,8,1,17,6,12,2,17,4,12,1,24,1,8,1,10,1,24,2,8,1,24,1,13,2,24,1,8,2,24,1,13,1,24,1,8,1,24,1,8,1,24,2,13,1,10,4,24,1,12,3,17,1,10,1,12,1,17,19,12,1,10,1,9,1,8,1,24,1,8,2,7,1,24,2,25,1,24,1,25,1,26,2,8,1,24,1,8,1,26,1,8,1,24,1,25,1,24,2,25,1,24,3,8,1,10,3,12,3,17,1,9,1,8,1,12,1,9,1,24,1,9,1,17,1,10,2,8,1,12,1,24,1,10,2,24,1,17,1,8,2,24,1,12,1,24,1,10,1,9,1,24,2,17,1,10,1,17,1,10,1,9,1,24,1,9,1,13,1,17,1,8,1,10,2,24,1,6,1,12,1,10,1,9,1,8,1,10,1,9,1,24,1,9,1,12,1,9,1,24,2,9,1,7,1,9,2,12,1,9,1,10,1,17,1,16,1,11,3,17,9,16,1,17,1,11,2,17,5,12,1,11,2,17,2,10,1,12,1,24,1,12,2,9,3,8,1,17,1,8,1,12,1,24,2,12,1,11,1,12,1,8,1,11,1,12,3,24,1,9,1,17,1,9,2,11,1,17,2,11,1,17,2,12,1,17,15,8,1,28,10,30,1,28,1,30,4,29,1,30,1,28,2,30,2,28,2,29,1,30,2,28,1,29,2,7,1,8,1,24,3,12,3,17,3,12,1,17,3,10,1,11,2,12,1,11,1,10,1,12,1,10,1,17,3,16,1,17,3,16,1,11,1,16,1,17,1,11,1,16,1,11,1,16,1,11,2,16,1,11,3,17,5,11,1,12,1,17,1,11,1,17,13,10,1,24,1,12,1,10,1,15,1,17,4,12,1,24,1,7,1,30,1,29,1,6,1,25,1,27,1,25,2,27,1,24,1,25,2,27,2,29,1,28,1,27,1,28,25,30,1,28,3,29,1,30,1,26,1,25,1,29,1,26,1,8,1,26,1,24,1,8,1,24,1,12,1,17,2,12,1,10,1,17,2,12,1,10,1,24,1,10,1,24,1,12,2,24,1,10,1,17,15,11,1,17,1,12,1,17,8,12,5,17,24,11,1,17,2,11,2,10,1,11,1,17,1,12,1,17,4,11,2,17,1,11,1,12,1,17,6,10,1,17,1,11,2,17,1,11,1,17,1,12,2,17,11,11,1,17,2,12,1,17,1,11,2,12,1,11,1,17,1,12,1,17,3,11,1,10,1,12,1,11,3,9,1,11,1,12,2,17,2,10,1,12,1,17,5,12,1,11,1,10,1,12,1,10,1,12,4,11,1,12,2,10,1,9,1,12,1,11,1,9,1,10,1,12,1,17,1,12,1,17,1,12,2,10,1,12,1,17,1,12,2,17,2,12,3,17,1,12,1,11,1,17,1,12,1,17,2,11,1,17,6,12,1,17,8,11,1,17,7,12,1,17,2,12,1,11,1,17,3,12,2,17,1,12,1,17,1,12,1,17,11,12,3,10,2,12,2,17,1,12,2,11,1,12,1,28,13,17,4,12,1,11,1,10,1,9,1,13,4,30,1,9,1,11,1,9,1,17,3,11,1,28,5,13,1,17,1,16,1,8,2,13,1,8,1,13,1,8,1,30,1,28,20,}, {28,8,29,1,28,6,30,2,28,2,29,2,28,5,30,1,28,1,30,1,29,1,7,1,12,1,9,1,7,1,9,1,17,3,13,1,30,1,7,1,28,1,30,1,6,1,13,1,17,2,9,1,8,5,9,1,8,1,13,1,29,1,8,1,14,1,17,1,12,1,8,1,9,1,8,2,7,1,8,1,24,1,9,1,7,2,8,1,13,1,6,4,9,1,17,1,12,1,9,1,13,1,9,1,24,2,28,23,30,1,28,5,6,1,8,1,24,1,8,1,12,1,9,1,6,1,30,1,28,1,29,1,30,1,28,1,6,1,13,1,10,2,24,2,30,1,6,3,7,1,29,1,7,1,30,1,6,1,29,1,7,1,13,1,9,1,24,1,13,1,29,1,28,10,30,1,28,3,6,1,11,1,5,1,33,297,5,770,9,1,28,3,6,1,30,1,7,1,6,4,13,1,7,1,13,1,24,1,6,2,13,1,7,1,6,2,13,1,7,1,13,4,8,1,7,1,8,1,24,1,13,2,8,1,6,2,7,1,13,1,6,1,29,1,7,1,30,1,6,1,28,1,30,2,6,1,28,3,30,2,7,1,13,2,29,1,13,1,24,1,12,1,24,1,12,2,17,3,12,1,17,41,12,1,17,2,11,2,8,1,13,1,8,1,25,1,8,1,24,1,8,2,24,1,25,2,8,1,25,1,8,1,24,2,8,3,7,1,24,2,30,1,28,79,6,1,7,1,30,1,28,51,30,2,28,134,6,1,30,1,28,1,6,2,13,5,8,1,13,2,9,1,13,1,9,2,11,1,8,1,9,3,10,1,17,1,9,1,11,2,8,1,10,1,9,1,8,1,9,2,8,1,9,2,13,1,10,1,9,1,11,1,9,1,12,1,8,1,17,1,13,1,11,2,10,1,8,1,13,1,9,3,17,7,12,1,11,1,12,1,10,2,12,1,9,1,24,2,8,2,24,2,13,1,8,1,13,2,9,1,24,3,8,1,12,1,24,1,12,1,10,1,9,1,12,2,10,1,17,1,8,1,10,1,17,1,12,1,17,21,12,3,10,1,24,2,10,1,26,1,24,1,25,1,24,1,8,1,24,2,12,1,25,2,8,1,25,1,24,1,25,1,8,1,24,1,8,1,13,1,8,1,24,1,8,1,12,1,24,1,8,1,9,1,10,1,9,1,12,1,10,1,12,1,17,1,12,1,9,1,12,1,24,1,9,1,17,1,24,2,10,1,24,1,12,1,9,1,12,2,9,1,12,3,24,1,10,1,12,1,10,1,12,3,9,1,17,1,24,1,8,1,12,1,10,2,24,2,10,2,12,1,13,1,12,1,9,1,10,1,9,1,8,1,9,1,10,2,11,1,8,1,12,1,9,2,8,1,17,1,11,1,9,1,8,1,12,1,11,2,9,1,17,8,16,1,17,6,12,1,17,1,11,1,17,3,9,1,8,1,11,1,12,1,24,1,8,1,17,1,10,1,17,1,10,1,8,1,24,1,8,1,10,1,12,1,13,1,17,1,9,1,8,1,12,3,10,1,9,1,24,1,12,2,8,1,12,2,17,1,11,1,17,5,16,1,17,13,28,13,29,1,30,1,28,1,30,1,7,1,30,1,28,2,30,2,28,1,6,1,30,1,29,1,28,2,30,1,29,1,6,1,13,2,8,1,24,1,9,1,12,2,17,5,12,1,17,1,12,1,9,1,12,1,10,1,24,1,10,2,17,1,10,1,17,1,12,1,17,5,10,1,16,3,11,1,16,1,11,3,16,1,11,1,17,1,16,1,11,1,17,21,24,4,17,1,12,1,17,1,12,1,24,2,28,1,6,1,29,1,30,1,28,2,30,1,29,1,27,2,26,1,27,1,30,1,27,1,29,1,28,1,30,1,28,23,30,1,28,3,30,3,28,1,25,3,30,1,25,1,27,1,29,1,25,1,24,2,17,6,12,2,24,2,12,1,24,1,12,2,9,2,17,4,12,1,17,10,11,1,12,1,17,11,11,1,17,1,11,1,17,18,11,1,17,7,11,2,17,3,11,1,17,1,12,1,11,1,12,1,11,2,17,3,11,2,12,3,17,1,11,1,12,4,17,2,12,5,17,9,12,2,17,2,11,1,12,1,17,8,11,1,12,3,11,1,17,1,12,1,17,3,12,1,11,1,17,2,12,1,11,1,12,1,17,1,12,1,17,2,12,1,11,2,12,4,11,1,10,1,12,1,11,2,10,1,11,1,12,2,10,1,17,1,12,1,17,1,11,1,12,2,17,1,11,2,17,2,11,1,17,1,11,1,17,1,11,1,17,6,12,1,17,26,12,1,17,6,10,1,17,15,10,1,12,1,11,1,12,1,10,1,11,1,17,3,11,2,13,1,6,1,28,11,14,1,17,2,12,1,9,3,12,1,9,1,6,1,13,2,24,1,13,1,12,1,11,1,17,3,9,1,28,5,8,1,17,1,11,1,24,1,29,1,28,1,6,1,13,1,6,1,30,1,28,20,}, {28,7,30,3,28,4,30,1,28,4,30,2,29,1,28,6,6,1,30,1,24,1,10,1,8,1,11,2,24,1,17,1,8,1,13,1,6,2,28,1,30,1,29,1,8,1,17,2,9,1,24,1,12,1,9,1,24,1,8,1,13,1,6,2,30,1,13,1,15,1,17,1,9,1,13,1,24,1,9,1,7,1,8,1,13,1,9,1,17,1,6,1,13,1,7,1,30,1,29,1,6,2,13,1,9,1,17,2,7,1,13,2,9,2,13,1,28,13,30,1,28,4,29,1,28,7,29,1,6,1,13,2,24,1,10,1,17,1,8,1,6,1,30,2,28,1,6,1,29,1,6,1,8,1,10,2,9,1,13,1,6,1,13,1,6,3,29,2,6,1,7,2,13,1,9,3,13,1,28,1,30,1,28,13,30,1,9,1,33,300,5,768,6,1,28,3,30,1,13,1,6,1,7,1,6,1,30,1,7,1,13,1,6,1,8,1,13,2,8,2,7,2,13,1,8,1,7,1,13,2,8,4,9,1,13,1,8,1,13,4,6,1,30,1,13,1,7,1,29,1,28,1,6,1,28,2,30,1,28,2,30,2,6,1,29,1,7,4,13,1,24,1,17,1,9,1,10,1,17,3,12,2,17,15,12,1,17,29,12,1,10,1,7,1,8,2,7,1,25,1,8,1,24,1,27,1,25,1,24,1,25,1,24,1,8,2,13,2,8,1,6,1,8,1,24,1,28,83,13,2,28,58,30,1,28,124,30,1,28,2,30,1,29,1,6,2,29,1,30,1,6,1,8,2,13,2,8,2,9,3,11,1,8,2,9,1,10,1,9,4,11,2,9,1,8,1,9,3,11,1,13,1,8,2,9,1,13,1,9,3,12,1,9,1,8,1,10,2,9,1,10,1,11,2,9,3,11,1,17,4,10,1,17,2,12,1,9,1,17,1,12,2,24,2,7,1,8,1,24,4,7,1,24,2,8,1,12,1,13,1,8,1,10,1,8,1,10,5,12,1,10,2,12,1,9,1,12,1,17,1,12,1,17,8,16,1,17,11,12,1,17,1,12,1,10,1,24,1,8,1,10,1,12,1,8,1,24,2,25,1,8,1,24,1,8,1,25,1,24,1,25,1,24,1,8,1,24,1,8,1,24,1,25,1,10,1,8,1,13,1,12,1,24,1,9,1,12,1,7,1,10,1,24,1,17,1,10,1,9,1,12,1,13,1,24,1,10,1,9,1,10,1,24,1,10,1,9,1,24,1,12,1,24,1,17,1,24,1,12,1,24,2,12,1,10,1,8,1,9,1,24,1,10,1,12,1,9,1,24,1,10,1,24,1,17,1,8,1,9,1,10,1,24,2,8,1,17,1,10,1,9,1,8,1,10,1,9,2,10,1,8,2,11,1,12,2,10,1,8,1,9,1,12,1,17,1,9,1,11,1,16,1,10,1,11,1,16,1,17,14,11,1,17,2,16,1,17,4,11,1,17,1,11,3,9,2,11,1,9,2,12,1,9,2,12,1,9,1,24,1,10,1,24,1,9,2,17,1,24,1,12,1,17,1,12,2,9,1,10,1,12,5,17,19,28,8,30,1,28,5,29,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,4,29,1,28,1,29,1,30,1,29,1,7,1,6,1,7,2,8,1,10,2,11,1,12,1,17,6,10,1,12,1,11,1,17,1,9,1,12,1,11,2,17,2,11,1,12,1,17,3,11,1,16,1,11,2,10,1,17,1,16,2,11,1,16,3,17,1,16,1,11,1,17,6,12,1,17,5,9,2,17,7,10,1,24,3,12,1,17,2,24,1,25,1,29,1,30,1,28,1,30,2,25,1,27,2,29,1,28,1,30,1,28,2,30,1,28,28,30,2,29,1,28,1,30,1,27,1,29,1,28,2,27,3,25,1,28,1,24,4,10,1,17,7,12,1,17,1,10,1,24,1,8,1,12,1,9,1,17,15,12,1,11,1,17,1,12,1,17,8,11,1,12,3,17,20,12,1,17,1,12,1,17,1,11,1,17,1,11,1,17,4,10,1,11,1,12,1,17,1,11,1,17,1,11,1,12,1,9,1,11,1,17,6,12,1,17,1,11,1,12,1,17,1,12,2,17,1,12,2,17,2,12,1,17,2,11,1,17,15,12,1,17,1,12,1,17,1,11,1,12,1,17,1,11,1,10,1,17,2,12,1,17,1,12,3,17,3,12,1,17,1,12,1,11,1,17,1,12,5,11,1,10,1,12,1,11,1,10,1,17,1,10,1,11,4,10,1,12,1,11,1,10,1,9,1,17,1,10,2,12,1,11,1,17,2,12,1,11,1,17,1,11,1,17,1,11,1,17,1,12,1,17,5,12,2,17,7,11,1,17,12,12,1,17,2,11,1,17,7,12,1,17,1,11,1,17,13,11,1,10,1,12,1,10,1,11,1,12,2,10,1,11,2,9,1,30,1,28,11,30,1,14,1,17,3,9,1,16,1,9,2,8,1,13,1,8,1,13,1,29,1,13,1,9,1,12,1,17,3,8,1,28,4,29,1,13,1,17,1,9,1,7,1,13,1,6,1,13,2,6,1,28,20,13,1,}, {28,11,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,1,30,2,28,5,6,3,8,1,10,1,8,2,10,1,11,1,17,1,12,1,28,1,30,1,6,2,29,1,28,1,8,1,17,2,9,1,24,1,9,1,11,1,10,1,13,1,10,1,7,1,6,1,29,1,7,1,12,1,17,1,12,1,13,2,8,1,6,1,8,2,11,1,12,1,8,1,6,4,13,1,29,1,9,1,8,1,17,2,8,3,24,1,13,1,28,5,30,1,28,18,30,2,28,1,30,1,6,3,10,1,12,1,9,1,17,1,6,2,28,2,29,1,30,1,7,1,9,1,24,1,15,1,8,2,6,3,30,1,29,1,6,1,29,1,6,2,8,1,13,1,24,1,8,1,10,1,24,1,28,11,30,1,28,4,9,1,33,304,5,764,28,3,30,2,7,2,13,1,7,1,13,1,6,1,13,2,8,1,13,4,7,1,6,1,13,1,8,2,13,1,8,2,13,1,8,1,24,1,8,1,7,1,8,2,7,2,6,1,13,1,6,1,7,1,6,1,28,1,7,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,7,1,30,1,7,2,13,1,6,1,12,1,24,1,12,1,10,1,12,1,17,2,12,3,17,14,12,1,17,29,12,1,17,1,9,1,8,1,13,2,8,3,24,1,8,3,7,1,8,1,13,2,8,4,6,1,28,273,13,1,30,1,13,1,8,1,13,4,8,2,13,1,8,1,9,2,11,1,9,1,10,1,8,1,9,2,8,1,12,1,11,2,10,1,11,1,9,1,13,1,9,3,13,1,10,1,9,1,8,1,9,2,13,1,9,2,12,1,13,1,8,1,10,1,8,1,9,1,10,1,9,1,10,1,9,1,11,2,9,1,17,5,12,1,10,2,17,2,12,1,24,4,8,1,7,2,8,1,13,1,24,1,8,1,24,1,8,1,12,1,24,1,12,1,9,1,24,1,17,1,24,1,12,1,10,1,12,1,17,1,12,1,17,1,11,1,10,1,17,10,11,1,17,7,12,1,17,5,12,1,24,1,17,1,10,1,9,1,12,1,7,1,24,4,8,1,24,1,25,2,24,1,8,1,24,1,25,3,24,1,10,1,24,2,12,2,24,1,8,1,24,1,10,1,17,1,10,1,24,2,12,1,24,1,10,1,12,1,10,1,12,1,24,1,12,2,24,1,12,1,10,1,24,2,9,1,8,1,12,1,13,1,24,2,12,1,9,2,10,1,24,1,8,1,17,1,24,2,12,1,24,1,10,1,24,1,10,1,24,1,9,1,24,2,12,1,24,1,17,1,9,1,10,1,9,1,10,1,24,1,9,2,8,1,24,1,11,1,24,1,9,3,17,1,10,1,17,18,11,1,17,5,12,1,10,1,11,1,10,1,12,1,10,1,17,1,12,1,10,1,24,1,12,1,11,1,10,1,8,1,12,1,9,1,10,1,12,2,9,1,10,2,9,1,11,1,9,2,10,1,9,1,11,1,24,2,10,1,12,1,17,19,13,1,28,11,29,1,30,1,29,1,30,2,29,1,30,1,29,1,30,2,29,1,30,3,28,5,6,1,28,1,7,1,8,1,7,1,8,1,24,1,12,2,17,7,12,2,9,1,10,1,17,1,12,1,10,1,12,1,11,1,10,1,17,1,11,1,17,5,16,3,11,1,16,4,17,1,16,1,17,2,16,1,17,4,11,1,17,5,9,1,10,1,8,1,11,1,10,1,11,1,17,3,12,1,9,1,12,1,10,1,12,1,8,1,17,2,24,1,10,1,29,1,30,1,28,1,30,1,28,2,29,1,28,1,29,1,28,1,27,1,28,1,29,1,28,27,30,1,28,1,29,1,28,1,30,1,28,1,25,1,29,1,28,1,25,2,27,1,26,1,25,1,29,1,27,2,24,1,25,1,12,1,24,1,17,7,12,1,9,1,24,2,12,1,9,1,17,1,10,1,17,4,10,1,11,1,17,8,11,1,17,1,11,1,17,11,10,1,17,1,11,1,17,7,12,1,17,4,11,1,17,2,12,1,17,1,11,1,17,6,11,1,12,1,17,5,11,2,17,2,12,2,10,2,17,1,11,5,17,1,12,1,17,1,11,1,17,2,11,2,12,2,11,1,17,3,12,2,17,2,11,1,17,9,12,1,17,5,12,1,17,1,12,1,17,1,12,2,11,1,12,2,17,1,10,1,17,1,10,1,17,3,11,1,17,3,12,2,17,1,12,1,11,1,12,1,11,1,12,1,17,1,10,1,11,1,12,1,10,1,9,1,12,1,9,2,11,3,17,1,9,1,12,2,11,2,12,1,17,1,9,1,11,1,12,3,17,2,12,1,17,1,12,2,17,2,12,1,17,1,12,1,17,1,11,1,17,7,11,1,17,8,11,1,17,13,11,1,17,1,11,2,12,1,17,10,12,1,11,1,17,2,12,1,11,2,17,3,9,1,17,1,29,1,28,2,30,1,28,3,30,1,28,4,30,1,6,1,14,1,17,2,16,1,11,1,10,1,9,1,10,1,9,1,6,2,13,3,10,1,17,4,13,1,28,5,13,1,17,1,10,1,9,1,7,1,6,1,7,1,13,2,28,5,30,1,28,12,6,2,28,1,}, {28,3,6,1,28,3,30,2,28,3,30,1,7,1,30,1,28,4,6,1,28,8,6,1,7,1,24,1,8,1,13,1,24,1,9,1,11,1,12,1,11,1,6,1,30,3,29,1,30,1,8,1,17,2,11,1,10,1,15,1,24,1,8,1,9,1,24,1,8,1,29,1,7,1,24,1,9,1,14,1,8,1,24,1,13,1,6,2,29,1,7,1,9,2,24,1,29,1,13,1,6,2,7,1,6,1,13,1,15,1,17,1,14,1,16,1,13,1,9,1,13,1,24,1,6,1,28,4,30,1,28,8,29,1,28,10,30,1,28,2,30,1,6,1,9,3,17,1,9,1,13,1,28,1,6,2,30,1,29,2,11,1,9,1,12,1,8,1,13,1,8,2,6,1,7,2,30,1,6,1,30,2,13,2,9,1,24,1,9,1,13,1,28,15,6,1,9,1,5,1,33,306,5,761,28,3,29,2,6,1,13,2,6,1,13,2,6,1,13,1,8,1,7,1,8,1,24,1,6,1,13,1,6,2,13,3,7,1,10,1,24,1,13,1,12,1,13,2,11,1,13,3,6,1,13,1,6,2,30,1,7,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,7,1,30,1,13,1,10,1,13,1,7,1,11,2,24,2,17,1,12,1,11,1,12,2,17,46,12,1,17,1,13,1,24,1,13,1,24,3,8,3,13,2,8,3,10,1,12,1,7,1,30,1,28,272,30,1,28,1,7,2,30,1,6,1,13,2,7,1,13,1,9,1,13,2,9,1,11,1,9,1,10,1,13,1,10,2,9,1,13,1,9,2,12,1,9,2,10,1,9,3,7,1,9,2,13,1,10,1,8,1,9,1,13,1,9,1,7,1,6,1,9,2,10,1,9,1,24,1,9,1,8,1,9,3,10,1,9,1,10,1,12,1,17,5,9,1,12,1,9,1,12,1,10,1,12,2,13,1,9,1,13,1,8,1,9,1,24,2,8,1,24,3,12,1,10,1,12,1,10,1,12,1,24,1,12,1,10,1,9,1,12,1,17,1,12,1,17,10,12,1,17,10,10,1,12,2,9,1,12,1,9,1,12,2,17,1,10,1,24,2,25,1,24,1,25,1,24,3,25,4,24,1,8,2,27,1,24,2,8,1,10,1,24,2,10,1,12,2,9,1,10,1,9,1,12,1,17,1,9,3,10,2,8,1,10,1,8,1,12,1,13,1,9,1,24,1,9,1,12,1,24,2,10,5,8,1,10,2,24,1,9,1,8,1,17,1,24,1,10,1,8,1,10,2,24,1,8,1,24,1,10,1,24,2,8,1,12,1,24,1,17,1,8,1,10,1,9,3,24,1,10,2,11,1,10,2,9,1,8,1,12,1,17,12,16,1,17,1,16,1,17,2,11,1,17,1,10,1,17,1,11,1,17,4,11,1,17,1,9,1,11,1,17,2,9,1,10,1,9,1,12,1,8,1,17,1,9,1,10,1,24,1,12,1,9,2,10,1,9,2,10,2,9,1,17,1,12,2,9,1,17,1,9,1,10,2,17,19,28,12,6,1,30,1,29,2,28,1,29,1,28,2,30,1,28,2,30,1,28,6,29,1,28,1,30,1,27,1,29,1,24,1,8,1,13,1,9,2,17,1,12,1,9,1,17,1,12,3,11,1,17,1,12,1,17,1,10,1,17,6,10,1,12,1,17,7,11,1,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,11,10,1,8,1,9,1,12,1,8,1,17,6,24,4,12,1,24,2,25,1,29,2,28,2,30,1,28,1,30,2,29,1,30,3,29,1,28,1,30,1,28,26,30,1,27,1,30,1,26,1,27,1,29,1,27,1,29,1,25,1,26,1,27,1,26,1,29,1,26,1,27,1,25,1,24,1,8,1,24,1,10,2,17,7,12,1,17,1,24,1,10,1,12,1,10,1,9,1,17,15,12,1,11,3,17,9,12,3,17,9,12,2,17,1,12,1,11,1,17,2,11,1,17,4,11,1,17,4,12,1,11,1,17,7,12,1,17,1,9,1,17,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,2,12,1,11,1,17,1,12,1,17,1,11,2,12,1,17,1,12,1,11,1,17,3,12,1,17,12,12,1,17,1,12,3,17,2,11,2,17,1,12,1,11,1,10,1,12,1,11,1,17,1,12,2,17,1,12,1,17,1,12,1,11,1,17,1,12,3,17,1,10,2,11,3,9,2,12,1,11,1,9,1,12,1,9,1,10,1,12,1,10,1,12,2,11,1,12,1,17,2,12,1,11,1,10,1,12,1,9,1,11,1,12,1,17,5,12,1,17,4,12,1,17,12,11,1,17,5,11,1,17,1,11,1,17,7,11,2,12,1,17,3,12,3,9,1,17,13,12,1,10,1,17,1,11,1,17,1,12,1,10,2,17,1,28,13,30,1,17,3,11,1,16,1,9,1,12,1,10,1,13,2,8,1,13,2,8,1,10,1,17,1,16,1,17,2,13,1,28,5,12,1,17,1,11,1,6,1,7,1,13,3,6,1,28,17,6,2,28,2,}, {28,4,30,1,29,1,28,4,29,1,30,1,28,1,29,1,30,3,28,12,6,1,8,1,9,1,8,2,13,1,16,1,17,1,8,1,29,1,30,2,13,1,30,2,8,1,17,2,13,1,17,1,11,1,9,2,24,2,8,1,30,1,6,2,10,1,14,1,9,1,13,1,29,1,30,1,13,1,28,1,13,1,9,1,15,1,8,1,6,1,13,1,28,1,6,1,7,1,13,2,16,1,17,2,24,1,9,1,24,1,8,1,10,1,28,12,6,1,28,1,30,1,28,8,6,1,28,5,30,1,8,1,10,2,9,1,12,1,7,1,6,1,29,1,30,1,29,2,13,1,8,1,10,2,9,1,7,1,13,2,29,1,7,1,28,1,30,1,6,1,30,1,29,1,7,1,6,1,8,2,9,1,8,1,28,15,6,1,13,1,5,1,33,309,5,758,28,3,30,1,6,1,7,2,13,1,7,2,29,1,7,1,13,1,8,1,13,1,9,1,13,2,28,2,6,1,9,1,8,1,24,1,10,1,8,1,24,1,10,2,7,1,24,1,7,3,13,1,6,1,7,4,30,1,28,2,30,1,29,1,28,3,6,1,28,1,6,1,13,1,8,2,24,1,12,1,10,3,17,2,12,1,17,1,12,1,17,47,12,1,17,1,8,1,9,1,24,2,8,1,24,5,6,1,13,1,8,1,10,1,8,1,28,276,6,1,28,1,6,2,7,1,13,4,7,1,13,1,9,1,8,1,9,1,13,1,11,1,13,1,11,1,9,3,13,1,10,2,8,1,17,1,9,1,10,1,9,1,10,1,13,2,12,1,11,1,8,3,11,1,9,3,10,1,11,1,10,1,9,1,8,1,9,2,11,1,9,1,10,1,9,1,10,1,11,2,17,5,10,1,12,3,24,1,10,1,12,1,13,1,24,1,8,1,24,1,8,1,24,2,10,1,24,1,8,1,12,2,8,1,17,1,24,1,17,1,10,1,12,1,10,1,12,1,9,1,12,1,17,1,10,1,11,1,17,3,12,1,17,5,11,1,17,2,12,1,17,6,12,1,17,1,9,1,8,1,10,1,12,1,13,1,24,1,13,1,30,1,29,2,7,1,25,2,8,1,25,2,8,1,25,1,8,1,25,3,8,1,26,3,24,1,10,1,12,1,10,2,24,2,10,1,9,1,12,1,9,3,17,1,15,1,9,1,12,2,24,1,8,1,12,1,24,1,12,1,8,1,9,1,8,2,12,1,8,1,13,1,8,1,10,1,9,1,10,1,9,1,24,2,10,1,12,1,9,2,17,1,10,1,24,2,10,2,24,1,10,1,9,1,10,1,12,1,24,1,12,2,9,3,13,1,9,2,13,1,10,1,9,4,17,1,11,1,17,19,11,2,17,1,11,1,17,2,10,1,17,1,10,1,17,3,10,2,17,1,9,1,10,1,8,1,10,1,9,1,10,1,8,1,9,1,8,1,9,1,24,1,13,1,10,1,9,1,10,1,17,1,10,2,17,1,24,1,10,1,9,1,8,1,12,3,17,17,30,1,28,3,30,2,28,2,30,1,28,3,6,1,29,2,6,3,30,1,29,2,28,12,29,1,25,1,8,2,24,1,10,3,17,1,12,1,9,1,17,3,9,1,17,1,11,1,17,1,12,1,11,1,12,1,17,2,12,1,17,1,11,2,17,4,16,1,11,1,17,1,11,1,17,1,16,1,11,1,17,3,16,1,17,1,16,1,17,9,10,1,8,1,9,1,10,1,9,2,17,6,24,2,12,1,24,1,12,1,8,2,25,1,6,1,28,6,30,1,28,2,30,1,28,30,29,3,27,2,29,1,30,1,25,1,26,1,27,1,25,3,8,1,25,2,26,1,25,1,8,1,24,1,17,11,12,1,10,1,12,1,17,5,9,1,11,1,17,9,12,1,11,1,17,11,12,1,11,1,12,1,17,1,12,1,17,11,11,2,17,5,12,1,17,2,11,1,17,3,12,1,17,3,11,1,12,2,17,1,12,2,17,1,11,1,12,1,10,1,17,1,11,1,17,2,11,1,17,1,12,2,17,1,12,1,17,1,12,1,17,1,12,1,17,4,11,1,17,3,11,1,17,12,12,1,17,2,10,1,17,4,12,2,11,1,12,1,17,1,12,1,17,1,12,1,17,1,10,1,17,1,12,1,17,1,11,1,12,1,11,1,12,1,11,1,12,1,11,3,10,1,24,1,11,2,10,1,9,1,11,2,12,1,10,2,11,2,9,1,12,2,10,1,9,1,11,1,12,2,17,2,11,1,17,2,12,1,17,3,12,1,17,3,10,1,17,6,12,1,17,2,12,1,17,2,11,1,17,1,11,1,17,10,12,1,17,4,11,1,17,5,11,1,12,1,17,13,12,1,17,2,10,1,12,2,17,3,11,1,7,1,28,3,30,1,28,1,30,1,28,6,6,1,17,4,11,1,9,1,11,2,8,1,13,2,24,1,8,2,10,1,11,1,17,2,12,1,13,1,28,5,10,1,12,2,24,1,6,2,7,3,28,4,30,1,28,11,10,1,30,1,28,3,}, {28,7,6,1,28,3,6,1,30,3,28,2,29,1,28,8,30,1,6,1,30,1,8,1,13,1,8,2,24,1,13,1,12,2,9,1,8,1,29,1,13,1,28,1,30,1,29,1,8,1,17,2,9,1,24,2,15,1,8,1,9,1,24,1,8,1,6,1,13,2,15,1,12,1,8,1,13,1,30,1,29,1,6,1,29,1,8,1,9,2,24,1,6,1,29,2,6,1,13,1,6,1,8,1,12,1,17,2,12,1,13,2,9,1,24,1,6,1,28,11,30,3,28,7,30,1,28,6,30,1,7,1,8,1,9,3,24,1,30,1,7,2,29,2,13,1,24,2,15,1,13,4,29,1,6,2,13,1,6,1,29,1,30,1,29,1,6,1,13,1,8,1,10,1,9,1,28,1,29,1,28,14,13,1,33,312,5,755,30,1,28,4,30,1,13,1,6,2,13,2,29,1,8,1,13,2,24,1,9,1,13,2,30,1,13,2,7,1,8,1,7,1,8,1,12,1,24,1,12,1,8,1,13,1,24,1,13,5,6,2,13,1,29,1,30,1,29,2,6,1,29,2,28,2,7,3,13,3,24,1,9,1,13,1,9,1,17,2,12,3,17,49,11,1,12,1,8,3,13,1,24,1,13,1,24,1,8,1,13,1,24,2,28,278,30,2,29,1,30,1,29,1,13,3,7,1,13,3,7,1,9,1,13,1,9,1,8,1,9,1,10,1,8,1,9,1,13,1,8,1,9,2,10,1,11,1,13,1,8,1,13,1,9,2,6,1,11,1,8,1,13,1,10,1,13,1,8,1,13,1,8,3,6,1,10,1,12,1,11,1,10,1,13,1,11,3,12,1,10,1,12,1,17,1,9,1,17,3,12,2,17,1,11,1,17,1,9,1,12,1,9,1,8,1,9,1,10,1,24,2,12,1,9,1,24,1,12,1,10,3,17,1,24,1,9,1,10,1,9,1,10,1,12,5,17,2,12,1,17,1,11,1,17,2,11,1,12,3,17,2,12,2,17,3,10,1,12,2,24,1,12,1,9,1,10,1,8,1,24,1,8,1,29,2,30,1,29,1,28,1,29,1,28,1,27,3,29,1,26,1,27,1,25,1,27,2,25,2,27,1,8,1,25,1,10,1,24,1,8,1,24,1,8,1,12,2,10,1,8,1,24,1,12,1,10,1,12,1,24,1,10,1,24,1,17,1,9,1,12,3,24,1,10,1,8,1,24,1,9,1,24,1,9,1,8,1,12,1,24,1,12,1,8,1,9,1,10,3,8,1,12,1,8,1,24,1,10,1,8,1,10,1,12,1,10,1,12,1,8,1,10,1,12,2,24,1,17,1,12,1,8,1,12,1,9,1,12,3,17,1,11,1,9,1,17,1,10,1,9,2,17,24,11,2,17,1,12,1,17,2,11,2,9,1,11,1,9,1,17,1,10,1,9,1,8,1,12,1,8,1,12,1,9,3,24,1,12,1,10,1,9,1,13,1,10,1,7,1,10,2,8,1,12,1,24,1,10,1,17,1,10,2,17,6,16,1,17,10,9,1,30,1,28,1,30,1,28,1,30,1,28,7,6,1,30,2,7,1,29,1,28,1,30,1,7,1,30,1,28,11,30,1,28,1,26,1,29,1,7,1,24,2,13,1,12,1,9,1,12,1,8,1,17,4,12,1,11,1,10,1,12,2,17,1,12,1,17,2,10,1,17,2,12,1,17,3,11,1,17,1,11,1,16,1,11,1,16,1,11,1,16,3,17,1,16,1,11,2,17,8,12,1,8,1,24,2,17,1,9,1,12,1,10,1,17,1,12,1,17,1,12,1,9,1,24,1,10,1,24,1,25,1,27,1,29,1,27,1,28,3,30,1,28,5,29,1,28,1,29,1,28,1,30,1,28,11,30,1,28,1,29,1,26,2,30,1,29,1,28,8,30,1,28,1,27,2,25,2,29,1,25,2,8,1,25,2,26,1,25,1,30,1,25,2,24,2,8,1,24,2,17,9,12,3,17,6,9,2,17,8,12,1,17,3,11,1,17,9,12,1,11,1,12,1,17,8,12,1,17,2,11,1,12,1,17,3,11,1,17,1,12,1,17,5,12,1,11,1,17,3,12,1,17,4,11,3,12,1,11,1,17,1,11,1,12,1,17,1,12,1,17,3,12,1,17,3,11,1,12,1,17,1,12,1,17,6,11,1,17,1,12,2,17,13,11,1,17,1,11,1,17,3,12,2,11,1,12,2,17,2,12,2,17,1,12,1,11,1,17,2,11,1,10,1,17,1,12,1,11,2,12,1,10,1,12,1,11,4,9,1,10,1,9,1,10,1,11,1,10,1,11,1,10,1,12,1,17,1,11,1,12,1,17,1,11,1,17,1,12,1,17,2,12,1,17,1,12,1,17,6,12,1,17,1,12,1,17,2,12,1,17,1,11,1,12,1,17,5,11,1,17,2,11,1,17,2,12,1,17,12,12,1,17,2,12,1,10,1,17,1,12,1,11,1,12,1,17,20,12,2,13,1,6,1,29,1,28,2,30,2,28,6,29,1,14,1,17,2,11,3,9,1,8,2,13,2,8,2,13,1,9,1,12,1,17,3,7,1,28,5,9,1,12,1,9,1,7,2,13,3,30,1,28,5,30,1,28,1,29,1,28,7,6,1,8,1,28,4,}, {28,3,30,1,28,7,13,1,28,2,30,1,28,11,30,1,6,3,8,1,9,1,8,1,9,1,8,1,17,2,10,1,24,1,29,1,7,1,6,1,7,1,28,1,7,1,14,1,17,1,9,2,15,1,12,1,9,1,24,2,9,1,13,2,6,1,24,1,14,1,24,1,8,1,30,2,29,1,6,2,12,1,15,1,8,2,6,2,13,1,7,1,6,1,8,1,10,1,17,3,8,1,6,1,9,1,13,1,6,1,28,12,29,1,28,4,30,1,28,6,30,1,28,1,30,2,28,1,30,1,24,2,10,1,12,1,13,1,30,1,29,1,30,1,29,1,30,1,13,1,12,1,9,1,24,1,9,1,13,1,8,1,13,1,7,1,29,1,6,3,13,1,6,1,13,1,24,1,7,1,13,1,24,1,10,1,28,16,9,1,33,314,5,752,6,1,28,3,30,1,28,2,13,1,7,2,13,1,6,1,7,1,13,1,8,1,13,1,24,1,7,2,6,1,28,1,6,1,13,2,8,1,9,1,13,1,12,1,24,1,12,1,13,1,8,2,7,2,13,1,6,1,30,1,6,1,13,2,6,2,29,1,30,1,6,1,30,1,28,1,30,2,7,1,13,1,6,2,8,1,13,1,10,1,13,1,8,1,10,1,17,1,12,1,11,1,17,3,12,2,17,28,12,1,17,3,12,1,17,12,12,3,9,1,8,1,24,1,8,1,17,2,10,1,24,1,28,33,30,1,6,1,28,250,29,1,7,2,13,1,7,1,13,2,7,1,8,1,7,1,9,1,8,1,13,4,8,1,10,1,9,1,13,1,8,1,9,1,11,1,9,1,13,1,10,1,9,1,8,1,13,2,9,1,13,1,8,1,13,1,8,1,9,2,13,1,9,2,11,1,9,1,12,1,17,1,8,1,9,1,13,1,9,1,10,1,9,2,11,1,9,2,17,1,12,1,17,1,11,1,12,1,11,1,12,1,10,1,12,1,9,2,24,2,10,1,12,4,9,1,12,2,10,1,17,1,12,1,10,1,24,1,17,1,10,1,12,3,17,1,12,1,17,2,11,1,12,1,17,2,10,1,12,1,17,2,12,1,17,5,12,2,10,1,12,1,17,1,12,2,24,1,10,1,8,2,25,1,30,1,29,1,28,2,30,1,28,1,27,1,28,1,29,1,27,1,29,2,27,1,26,1,27,1,25,2,27,1,25,2,6,1,10,1,24,2,12,1,9,1,12,2,24,1,12,1,9,1,12,1,9,2,12,2,10,1,12,1,24,1,12,1,24,3,12,1,13,1,8,1,24,1,9,1,10,1,24,1,10,1,12,1,8,1,10,1,8,1,12,1,24,3,12,1,24,1,12,4,24,2,8,1,24,1,9,1,12,1,10,2,17,2,9,1,12,2,10,1,12,2,10,2,12,1,9,1,24,1,9,2,17,25,16,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,2,9,1,12,1,10,1,17,1,9,4,13,1,9,1,11,1,10,2,9,3,12,1,9,2,24,1,10,4,17,1,9,1,12,2,9,1,17,1,11,1,17,12,9,1,28,2,30,2,28,1,30,1,28,2,30,1,28,2,30,1,6,1,7,1,30,1,7,1,29,1,30,1,6,2,28,13,30,1,6,2,13,1,8,1,10,1,13,1,8,1,9,1,12,1,24,1,17,5,11,2,17,2,9,1,17,6,12,1,17,3,11,1,12,1,11,2,16,5,17,1,16,1,17,10,11,1,10,2,9,1,24,1,17,1,24,1,17,1,12,1,17,1,10,1,17,1,9,1,24,4,25,1,8,1,29,2,28,9,30,1,28,18,27,2,25,1,26,1,27,1,29,2,30,1,28,3,27,1,29,1,30,1,27,2,25,1,27,2,25,1,26,1,27,1,25,2,27,1,25,3,24,1,25,1,24,1,8,1,24,1,17,17,9,1,17,10,12,3,17,1,11,2,17,10,9,1,12,1,17,14,12,1,17,2,12,1,17,4,11,1,17,1,11,2,12,1,17,2,11,2,17,2,11,1,17,2,11,3,10,1,12,2,17,3,11,2,12,3,17,3,12,2,17,1,12,1,17,1,11,1,12,1,17,1,11,1,17,13,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,2,12,1,11,1,12,1,17,1,12,1,17,3,12,1,17,1,12,1,11,3,17,1,12,2,11,1,10,1,11,3,9,1,12,1,9,1,10,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,12,1,11,1,12,2,10,1,12,1,17,3,10,1,17,2,11,1,17,1,11,1,12,1,17,2,11,1,17,9,12,1,17,2,12,1,17,7,11,1,17,3,11,1,12,1,17,3,11,1,12,1,17,1,12,1,17,1,12,1,17,1,12,2,11,1,12,1,11,1,10,1,17,19,11,1,17,1,11,1,13,1,6,2,29,1,6,1,28,8,13,1,14,1,17,2,11,1,12,1,11,2,17,1,7,1,8,3,24,1,13,1,10,1,11,1,17,3,7,1,28,5,12,1,17,1,9,1,13,1,7,2,6,1,13,1,28,5,6,1,28,2,30,1,28,6,30,1,13,1,28,5,}, {28,5,30,1,28,5,6,1,29,2,6,1,30,1,28,1,30,1,28,2,30,1,28,5,30,2,7,2,10,1,8,2,24,2,8,1,17,1,10,1,13,1,6,2,30,1,6,1,13,1,8,1,14,1,17,1,9,2,10,1,24,1,9,1,24,1,8,1,13,1,8,1,6,1,13,1,9,1,14,1,8,1,6,1,29,1,30,1,13,1,7,1,6,1,15,1,10,2,13,1,6,1,7,1,13,1,6,1,13,2,11,1,17,2,9,1,13,2,24,1,9,1,13,1,28,12,6,1,28,8,6,1,28,5,30,1,6,1,28,1,6,1,12,3,24,1,6,1,29,1,28,1,6,1,29,1,6,1,8,1,24,1,9,1,10,1,8,1,13,1,6,1,30,1,6,1,30,3,13,1,30,1,29,1,13,1,8,1,13,1,9,1,8,1,28,16,13,1,5,1,33,317,5,748,13,1,28,5,30,1,7,2,13,3,8,1,13,2,9,2,8,2,30,1,29,1,13,4,11,1,24,1,8,1,12,1,24,1,9,1,7,1,8,1,13,3,7,1,8,1,7,1,6,1,7,2,6,1,7,1,30,2,28,1,30,3,6,1,7,1,13,2,24,1,13,1,24,1,8,1,10,1,12,1,11,2,12,1,17,16,12,1,17,1,12,1,17,20,12,1,17,6,12,1,17,4,10,1,9,1,8,1,13,1,9,1,8,1,13,1,29,2,28,34,30,1,6,1,28,245,30,1,28,3,6,1,30,1,6,1,13,1,7,1,6,2,7,1,13,3,8,3,9,2,13,1,9,1,8,1,10,1,9,2,8,1,10,1,9,1,13,3,8,2,13,1,9,2,8,2,11,1,9,2,13,2,8,1,13,1,10,2,9,2,17,1,13,2,8,1,9,2,11,1,8,1,10,1,17,3,12,2,11,1,17,1,11,1,12,1,9,1,12,1,24,1,10,1,8,1,9,1,12,1,24,1,12,1,10,1,9,1,12,1,24,1,12,2,11,2,12,2,17,4,12,1,17,2,12,1,9,1,10,1,12,2,10,1,12,1,17,3,12,2,17,1,12,2,17,1,12,3,10,2,12,1,24,1,8,2,28,2,30,1,28,8,29,1,28,3,26,2,25,1,26,1,25,1,8,2,24,1,8,1,24,3,9,1,8,1,10,1,9,2,12,1,10,1,9,1,12,2,8,1,12,1,24,1,12,1,17,1,12,1,9,1,24,1,9,1,7,1,12,1,10,1,12,1,24,1,9,2,13,1,24,1,8,1,9,1,24,1,8,1,10,1,24,1,17,1,24,1,8,1,12,1,10,2,12,2,10,1,24,1,12,1,10,1,9,2,10,1,12,2,9,1,12,1,24,1,9,1,12,1,9,1,17,1,9,1,11,1,9,1,11,1,17,22,11,2,17,4,11,1,17,1,12,1,11,1,12,1,17,1,9,1,17,1,16,1,12,1,9,1,8,1,10,1,11,2,9,1,13,1,12,1,17,1,12,1,8,1,24,1,12,1,11,1,9,2,8,2,10,1,11,1,9,2,12,3,11,1,17,1,12,1,17,13,28,2,30,1,29,1,28,6,29,1,7,1,6,2,30,1,6,1,30,1,29,1,13,1,28,12,30,2,28,1,30,1,7,1,6,1,7,1,24,1,8,1,24,1,10,1,11,1,24,1,9,1,17,3,12,3,17,1,10,1,11,1,17,12,16,2,17,1,16,1,17,1,16,3,17,4,11,1,17,3,12,1,17,3,9,1,8,1,12,1,24,1,12,1,24,1,9,1,24,1,17,1,10,1,12,1,10,2,8,1,24,1,25,1,28,1,29,1,28,12,30,2,28,7,30,1,28,6,30,1,28,2,30,1,26,1,25,3,26,1,29,1,27,1,29,1,28,1,30,1,26,2,30,1,25,2,27,2,25,1,27,1,8,1,25,3,8,1,25,1,24,1,25,2,24,1,25,1,24,1,10,1,12,1,17,16,12,1,11,1,12,1,17,8,12,2,17,1,12,1,11,1,17,8,12,1,17,1,10,2,12,1,11,1,17,5,11,2,17,1,12,1,17,3,11,2,17,1,12,1,17,5,11,1,12,1,11,1,12,2,11,2,17,1,11,1,17,1,12,1,17,1,12,1,11,1,17,1,11,1,17,1,10,1,12,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,4,12,1,11,1,12,1,11,1,17,1,12,1,17,16,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,2,10,1,17,1,12,1,11,1,17,1,11,5,17,1,12,1,17,1,10,1,11,3,17,1,10,1,11,2,9,1,13,1,9,1,11,2,9,1,12,1,11,1,12,3,11,1,17,5,12,1,17,6,11,1,17,5,12,1,17,11,12,3,17,4,11,2,17,3,11,1,17,6,10,1,17,1,11,2,12,2,11,1,17,16,12,1,17,2,12,1,17,1,12,1,10,1,8,1,13,1,7,1,6,2,28,8,13,1,14,1,17,2,11,2,12,1,17,1,9,1,13,2,8,1,7,1,8,2,12,1,10,1,17,3,7,1,30,1,28,3,30,1,8,1,17,1,9,1,6,4,13,1,29,1,28,15,6,1,28,5,}, {28,9,29,1,28,1,13,1,28,1,30,1,28,3,30,1,28,2,30,1,28,6,6,1,30,1,6,1,13,1,9,1,24,1,8,1,24,1,12,1,17,1,15,1,7,1,8,1,6,3,28,1,9,1,17,2,7,1,13,1,9,1,12,1,24,1,9,1,10,1,24,1,13,1,6,1,7,1,13,1,14,1,9,1,7,1,6,1,30,1,7,1,13,2,24,1,12,1,8,2,7,1,13,3,6,1,8,1,24,1,17,2,9,2,13,1,8,1,24,1,7,1,28,20,30,1,28,1,29,1,28,3,30,2,28,1,30,1,6,1,24,1,17,1,12,1,24,1,6,4,29,1,13,1,8,1,13,1,24,1,15,1,8,2,6,3,30,1,29,1,30,1,7,1,28,1,29,1,13,1,8,2,9,1,8,1,6,1,28,14,30,1,13,1,33,320,5,746,28,3,30,1,28,1,30,1,13,1,29,1,13,3,7,1,13,2,8,2,7,1,29,1,6,1,30,1,6,1,13,1,29,1,6,1,13,1,17,1,9,1,8,1,12,1,9,3,13,1,6,2,29,1,13,3,6,4,29,1,6,1,7,1,30,4,7,2,13,1,24,1,8,1,13,1,12,3,10,1,12,3,17,36,11,1,12,1,17,6,12,1,17,7,12,1,13,1,30,1,28,38,6,3,13,1,28,244,13,1,28,1,30,1,13,1,30,1,7,2,13,1,6,1,13,2,8,2,13,1,6,1,13,1,8,1,13,3,9,2,8,1,13,1,9,1,7,1,13,1,9,2,8,1,24,1,9,3,13,2,9,1,8,1,24,1,11,1,6,1,8,2,13,3,9,1,11,1,9,1,12,1,17,1,8,2,13,1,9,1,8,1,9,1,11,1,8,1,9,1,17,4,12,1,11,1,9,1,17,1,24,1,12,5,9,1,12,2,11,1,12,1,10,1,12,1,10,1,8,1,17,1,9,2,11,1,17,9,12,2,17,1,12,4,17,2,12,5,9,2,10,1,17,1,12,1,24,1,25,1,8,2,29,1,27,1,30,2,28,1,27,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,2,27,1,29,1,27,1,8,1,25,1,24,5,17,2,24,3,12,1,24,1,9,1,12,1,10,2,12,2,15,1,24,1,12,1,10,2,17,1,7,1,9,1,24,2,8,1,10,1,24,1,13,2,8,1,10,1,24,3,10,1,24,1,10,1,12,1,24,1,17,1,8,1,12,1,10,2,24,1,12,1,24,1,9,1,10,1,12,3,9,1,10,1,12,1,24,1,12,2,10,2,12,2,9,2,17,22,11,1,17,1,16,1,11,1,17,2,11,1,17,1,9,1,17,2,12,1,17,1,11,1,9,1,17,1,12,1,9,1,17,1,10,2,17,1,24,1,9,1,11,1,9,2,12,1,8,1,12,1,9,1,11,1,10,1,17,1,9,1,8,1,9,1,10,1,11,1,9,1,17,1,10,1,17,1,9,1,17,13,10,1,28,3,30,1,28,7,29,2,6,1,13,1,29,1,7,1,6,1,13,1,28,12,30,1,28,1,29,1,28,1,6,1,29,1,13,1,7,1,24,1,8,1,24,1,10,1,8,2,17,4,12,1,17,1,12,2,17,8,11,1,17,4,11,2,16,7,17,1,16,1,17,1,16,1,17,7,9,1,8,1,24,2,12,1,9,1,10,2,24,1,10,1,24,1,10,1,24,1,8,2,25,1,30,2,28,1,30,1,28,12,29,1,28,1,30,2,28,5,30,1,28,3,30,1,29,1,27,1,30,1,29,1,27,1,26,2,24,1,10,1,24,1,27,2,26,1,30,1,27,2,26,1,27,1,25,4,27,1,24,1,8,1,24,1,25,1,24,1,8,1,26,1,25,1,24,1,12,1,8,1,24,1,12,1,17,29,12,3,17,2,12,1,17,7,11,1,12,2,11,1,17,9,11,1,17,3,11,1,12,1,17,4,11,1,17,1,12,1,11,2,12,1,17,4,12,1,11,1,12,1,17,1,12,1,11,1,12,1,11,1,17,2,12,3,17,3,12,3,17,6,12,1,17,2,11,1,12,1,17,4,11,1,17,10,12,1,17,2,11,1,17,1,12,4,17,2,11,1,12,1,17,1,11,1,12,1,17,1,12,1,17,1,11,1,17,1,10,1,12,1,11,2,12,1,10,1,12,1,11,1,9,1,17,1,10,1,17,1,10,5,9,3,11,1,12,1,11,1,17,1,12,1,17,1,12,1,17,2,12,2,17,5,11,1,17,4,12,1,17,5,12,1,17,3,12,1,17,2,12,1,17,1,11,1,17,1,11,1,17,8,11,1,17,1,11,2,17,1,11,2,17,3,12,1,17,2,12,1,17,1,12,1,17,10,12,1,17,4,11,1,17,3,12,3,17,1,8,1,28,12,8,1,14,1,11,1,17,1,11,1,16,1,9,3,8,3,13,1,8,1,9,3,17,2,10,1,13,1,28,5,9,1,17,1,8,3,7,1,13,2,7,1,28,14,13,1,28,6,}, {28,6,30,1,6,1,30,1,28,2,6,1,28,1,30,1,28,3,29,1,28,3,30,1,28,4,30,1,28,1,6,1,8,1,9,1,10,1,24,1,9,1,10,1,17,2,14,1,8,1,6,2,13,1,29,1,6,1,7,1,17,2,13,1,8,1,10,1,9,1,7,1,9,1,12,1,8,1,9,1,6,2,13,1,14,1,24,1,6,3,29,1,7,1,6,1,24,1,9,1,24,1,13,4,7,1,6,2,8,1,12,1,17,1,9,1,13,2,9,1,12,1,7,1,28,19,30,1,28,7,30,2,29,1,6,1,8,1,17,1,12,1,9,1,13,1,30,1,6,1,29,1,30,2,24,1,8,1,7,1,24,2,8,1,13,1,30,1,28,1,29,1,28,1,6,1,29,1,30,1,6,1,13,1,8,1,24,1,9,2,28,12,30,1,28,3,9,1,5,1,33,321,5,744,28,3,6,1,28,1,7,1,13,4,7,1,6,1,13,1,8,1,13,1,10,1,7,1,6,1,13,1,6,1,7,1,13,1,7,1,6,1,24,1,17,1,10,1,8,1,12,1,9,1,12,1,8,2,7,5,6,1,30,1,29,1,30,2,6,1,30,1,28,1,30,2,6,1,13,1,6,1,29,1,6,1,13,1,9,1,8,1,24,1,17,1,12,3,17,1,12,1,17,11,12,1,17,35,11,1,7,1,28,44,30,1,13,1,30,1,28,11,30,1,28,8,6,1,28,223,30,2,6,1,30,1,6,2,13,3,6,1,8,1,7,2,13,4,8,2,13,4,9,2,8,1,10,1,6,1,13,1,9,1,13,2,7,1,8,1,13,2,12,1,9,1,8,1,13,2,7,1,8,1,7,1,13,1,7,1,13,1,8,1,9,1,8,1,9,1,11,1,10,1,8,1,9,2,10,1,8,1,9,1,11,2,17,4,11,1,17,1,12,1,9,1,11,1,10,1,12,1,10,3,17,2,10,2,12,2,17,2,11,1,10,1,12,2,11,1,17,5,11,1,12,1,10,1,12,1,9,1,11,1,10,1,12,3,11,1,17,1,10,1,17,2,9,1,12,3,10,2,9,1,10,1,24,1,8,1,24,1,29,1,27,1,28,3,30,1,28,6,30,2,28,1,27,4,25,1,8,1,25,1,24,1,12,1,6,1,17,1,12,1,10,2,24,2,10,2,11,1,12,1,10,2,8,1,24,1,8,1,12,2,24,1,10,1,9,1,10,1,17,1,10,1,9,1,8,2,24,3,12,1,8,1,10,1,24,3,8,1,24,1,9,1,24,1,10,1,12,1,17,1,24,1,17,1,24,1,12,1,10,2,12,1,10,2,24,1,12,3,10,1,12,1,9,1,12,2,24,1,17,1,11,1,10,1,17,5,16,1,17,16,11,1,17,1,11,1,16,1,17,3,9,1,12,1,17,2,12,1,11,1,12,1,17,1,16,1,12,1,11,1,16,1,10,1,11,1,9,1,12,1,24,1,9,1,11,2,13,1,10,1,12,1,9,1,12,1,8,1,11,1,9,1,8,1,9,1,11,2,17,1,12,1,17,4,11,1,17,12,6,1,13,1,24,1,29,1,28,6,30,1,7,1,29,1,6,1,13,2,8,1,7,2,28,14,30,2,6,1,25,1,6,2,24,4,8,2,17,1,11,1,17,2,12,5,10,1,12,1,17,5,11,1,9,1,17,3,16,1,17,1,11,1,17,1,11,1,16,3,17,4,16,2,17,6,10,1,8,1,9,1,24,2,9,1,24,2,8,1,24,1,8,1,24,3,7,1,29,1,28,11,30,1,28,2,30,1,28,1,30,2,29,2,28,1,30,1,27,1,28,1,30,1,27,1,29,1,26,2,28,1,30,1,26,1,27,2,6,2,8,1,25,1,8,1,24,1,10,1,24,2,29,2,27,1,26,1,27,2,8,1,30,1,24,1,8,1,25,1,24,2,25,1,24,1,25,1,24,1,8,1,24,1,25,1,24,3,17,1,12,1,17,16,12,1,17,1,11,1,17,5,12,1,17,3,12,1,17,11,12,1,11,2,17,1,11,1,17,17,11,1,17,1,12,1,17,1,12,1,11,1,17,2,12,1,11,1,12,1,11,1,12,1,11,2,12,3,17,1,11,1,12,1,17,1,12,1,17,2,12,1,17,2,11,1,17,1,11,2,17,4,12,2,17,2,11,1,17,2,12,1,17,8,11,1,17,1,12,1,17,1,12,1,17,2,12,1,17,2,11,3,17,2,12,1,11,1,12,1,17,2,12,2,11,3,12,1,11,1,10,1,12,1,11,1,10,1,11,1,17,1,10,1,12,1,17,1,10,2,9,1,12,1,11,4,10,1,11,3,17,5,11,1,17,1,11,1,17,1,11,1,12,1,17,5,12,1,17,11,12,1,17,8,12,1,17,2,12,1,17,3,12,1,17,1,11,1,17,2,12,1,17,6,12,1,10,1,12,1,11,1,17,16,12,1,17,1,11,2,12,2,11,1,30,1,28,12,9,1,17,3,11,2,17,1,8,2,24,1,8,2,7,1,13,1,8,2,11,1,17,3,30,1,28,5,16,1,17,1,8,1,13,2,7,1,9,1,13,1,6,1,28,14,7,1,28,6,}, {28,5,6,1,28,1,6,1,28,2,30,1,28,2,30,1,28,2,30,1,28,10,6,2,13,1,8,1,24,1,8,1,24,1,11,1,9,1,15,1,14,1,13,2,28,1,13,1,6,1,29,1,6,1,17,2,8,1,13,1,8,2,9,1,15,1,10,2,6,2,30,1,8,1,14,1,24,1,13,1,29,1,6,1,30,1,13,1,9,1,12,1,9,2,8,1,9,1,8,1,13,1,8,1,28,1,13,2,9,1,17,1,12,1,24,1,6,1,30,1,8,1,6,1,28,1,6,1,28,19,6,1,28,5,30,2,6,1,13,1,24,1,9,2,24,1,7,1,13,1,6,1,13,2,6,1,8,1,24,1,12,1,10,1,8,1,24,1,9,1,6,1,30,2,6,3,13,1,6,1,13,1,6,1,8,1,24,1,13,1,6,1,28,11,29,1,28,2,29,1,13,1,5,1,33,323,5,742,28,4,30,1,13,2,7,1,13,1,29,1,13,1,7,1,9,1,24,1,10,1,8,1,30,1,6,3,28,1,7,1,13,3,8,1,10,1,24,1,11,1,8,1,24,2,8,1,7,1,8,1,13,2,7,1,6,1,30,1,6,2,30,1,29,1,30,1,6,1,29,1,7,1,13,1,6,1,13,1,6,1,13,1,8,1,24,1,13,1,12,5,17,2,12,1,17,12,12,1,17,5,12,1,17,16,12,1,17,2,12,2,11,1,17,3,13,1,28,48,13,1,7,1,28,12,6,1,28,234,30,1,13,2,6,2,13,1,7,2,13,2,9,1,13,2,9,1,7,1,13,1,6,1,9,2,8,1,9,1,13,1,8,2,7,1,13,4,6,1,8,1,11,1,9,1,10,1,13,1,8,1,13,1,8,1,13,1,8,3,6,1,13,2,9,2,10,1,11,1,9,3,13,1,9,1,8,1,9,3,17,5,10,1,9,1,17,1,9,1,17,1,12,3,10,1,17,1,12,2,9,1,17,3,12,1,17,1,9,1,17,7,12,2,17,1,10,1,17,1,12,1,17,1,11,1,9,2,12,1,11,1,17,1,24,1,17,2,10,2,24,1,9,1,12,1,24,1,17,1,12,1,8,1,25,1,8,1,26,1,25,1,28,1,29,2,28,1,30,1,28,5,29,1,28,1,27,1,28,1,27,1,25,1,27,1,26,2,24,1,6,1,12,1,8,1,24,1,9,3,24,1,10,1,9,2,11,1,10,1,12,1,17,1,12,3,13,1,12,4,24,1,12,1,10,1,24,1,10,1,12,1,10,1,13,1,24,1,10,1,8,2,24,1,9,1,8,1,10,1,24,1,9,1,10,3,12,1,10,1,24,1,12,1,10,1,12,1,24,1,12,1,24,1,10,1,12,1,17,1,12,1,10,1,9,1,12,1,13,1,12,2,9,2,11,1,12,1,17,4,16,1,17,15,11,1,17,3,11,2,17,1,11,1,17,2,10,1,17,1,9,1,10,1,17,1,11,4,9,1,16,1,10,1,12,1,9,1,11,1,9,1,24,1,12,1,9,3,10,1,24,1,12,2,9,1,8,1,10,1,8,1,10,2,17,1,12,2,17,2,16,1,17,10,12,1,17,2,10,1,8,1,29,1,28,6,30,1,29,1,7,2,13,2,6,1,7,1,6,1,7,1,6,1,28,12,30,1,28,1,30,3,6,2,8,1,24,1,9,1,10,1,6,1,24,1,12,4,17,2,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,7,11,2,17,1,16,1,11,1,16,3,17,3,11,1,16,1,17,6,12,1,24,1,10,1,9,1,24,1,9,1,12,2,24,1,7,1,8,1,24,2,7,1,30,1,29,1,28,13,30,1,27,1,30,1,27,3,26,3,25,1,24,2,8,1,10,1,25,1,26,1,8,1,25,1,24,1,8,1,13,1,7,1,6,1,8,2,24,6,25,2,27,1,25,7,27,1,25,1,8,1,24,3,25,2,24,3,12,2,17,17,10,1,17,8,12,1,17,3,11,2,12,1,17,8,11,2,12,1,17,1,12,1,17,7,12,1,17,2,12,1,17,1,12,1,17,10,12,1,11,1,12,1,17,1,11,2,12,2,17,1,11,1,17,1,11,1,12,2,17,3,12,1,11,1,12,1,11,1,17,2,11,1,12,2,17,3,11,1,12,1,17,3,12,1,17,2,11,1,17,7,11,1,17,8,12,2,17,1,12,1,11,1,17,1,12,1,17,2,12,1,17,1,12,1,10,1,17,1,12,3,17,1,12,1,9,1,17,1,11,1,17,1,11,1,12,1,11,2,10,1,9,1,12,1,10,1,11,2,10,1,11,1,10,1,12,2,10,1,11,1,17,2,12,1,11,1,12,2,17,25,11,1,17,1,12,4,17,4,12,1,17,4,8,1,12,1,17,2,12,1,17,1,11,1,17,1,11,1,10,2,17,1,11,1,17,14,11,2,17,6,11,1,12,1,28,13,8,1,17,4,16,1,9,3,8,1,13,1,8,1,13,2,9,1,13,1,11,1,17,1,16,1,17,1,30,1,28,4,29,1,17,2,8,1,13,1,10,1,8,3,28,22,}, {28,3,29,1,7,1,29,1,28,1,6,1,28,1,30,1,28,1,13,1,6,1,28,1,30,1,28,6,29,1,28,2,30,1,28,2,29,1,30,1,13,1,8,1,12,2,17,1,8,1,17,2,9,1,6,1,13,1,6,1,8,1,6,2,7,1,11,1,17,1,9,1,7,1,12,1,9,1,8,1,12,1,9,1,12,1,6,1,29,1,6,1,13,1,14,1,8,1,13,1,6,1,28,1,8,1,6,1,8,2,12,1,11,1,9,2,13,1,8,1,13,1,6,2,24,1,11,1,17,1,11,1,24,1,6,1,13,1,15,1,13,1,6,1,28,3,30,1,28,15,30,1,28,7,30,1,28,1,7,1,9,1,8,1,12,1,24,1,13,1,7,1,29,1,7,1,6,2,7,1,8,2,9,1,24,1,7,1,28,1,29,2,6,1,28,2,6,3,13,1,6,1,9,1,13,2,29,1,28,11,30,1,28,3,9,1,33,219,5,12,33,4,5,1,33,90,5,739,30,1,28,2,30,1,28,2,8,1,13,2,6,2,13,4,9,1,13,1,7,1,13,1,7,1,6,1,29,1,24,1,6,2,12,1,10,1,24,1,12,1,24,1,11,1,8,3,6,2,13,1,6,1,13,1,30,1,29,1,30,1,6,1,30,2,29,1,7,1,28,1,30,1,29,1,6,1,8,1,13,1,8,2,10,1,24,1,17,1,12,3,17,4,12,1,17,14,12,1,17,14,12,2,17,2,12,1,17,4,12,2,30,1,29,1,28,49,30,1,6,1,29,1,28,12,13,1,28,10,6,1,28,223,6,1,28,1,7,1,13,3,6,1,13,1,8,1,13,5,7,1,13,1,6,2,28,1,13,2,8,1,6,1,28,1,13,1,7,1,6,3,13,1,11,2,13,1,9,1,8,1,13,1,8,1,13,5,6,2,13,1,10,1,9,3,13,2,17,1,12,1,9,2,10,1,9,4,17,2,12,1,17,1,12,1,17,2,12,1,9,1,12,2,17,1,12,5,11,2,17,2,16,1,17,4,11,1,17,6,11,1,10,1,17,1,11,3,12,2,17,2,12,2,10,2,17,1,9,1,12,1,10,1,24,4,25,1,27,1,25,1,28,1,29,1,28,1,29,1,28,6,30,3,26,1,29,1,25,1,26,1,27,1,24,2,8,1,24,2,9,1,10,2,9,1,17,1,9,1,11,1,17,1,12,2,8,1,9,2,12,1,10,1,24,1,17,1,24,2,9,1,12,2,8,1,24,1,7,1,6,1,9,1,24,1,8,1,13,1,24,1,13,1,9,1,8,1,24,1,12,2,24,1,17,2,12,2,10,3,8,1,12,3,17,1,12,1,24,1,12,1,9,1,24,1,12,1,11,2,12,2,11,1,17,1,9,1,11,1,17,25,11,1,17,4,10,1,9,1,17,1,12,1,11,1,17,1,9,1,17,1,9,1,10,1,9,1,17,2,10,1,17,1,11,1,10,1,11,1,9,2,11,1,10,1,17,1,9,1,12,1,9,1,10,1,24,1,11,1,24,1,11,1,8,1,10,2,12,1,17,15,12,1,13,1,28,8,30,1,6,2,24,1,13,2,9,1,8,2,13,1,29,1,28,10,29,1,28,1,29,1,28,1,30,1,29,2,13,1,24,2,8,2,7,1,24,1,10,1,17,1,10,1,12,1,17,1,10,1,12,1,17,1,12,1,10,1,12,2,17,5,10,1,17,4,16,1,17,1,16,7,17,2,16,2,17,7,11,1,24,1,8,1,24,3,8,1,24,1,13,2,29,2,28,1,30,1,28,13,30,3,26,1,27,1,25,1,26,1,25,1,27,1,24,2,8,2,24,1,10,1,8,1,24,1,8,1,24,1,10,1,8,1,24,1,8,3,24,1,10,1,12,1,24,1,12,1,24,1,25,6,8,1,24,1,25,4,8,1,25,1,24,1,27,1,25,1,24,3,8,1,12,1,24,1,10,1,12,3,10,1,17,1,12,1,17,11,11,1,17,11,12,1,17,2,11,1,17,7,12,1,17,3,12,1,17,19,11,1,17,4,12,1,11,1,12,1,17,1,10,1,9,1,17,3,12,3,17,1,11,1,17,5,11,1,17,1,11,1,17,1,9,1,11,1,17,2,11,1,17,2,12,2,17,1,11,1,12,1,17,2,12,1,17,3,11,1,17,1,11,1,17,1,12,1,17,3,11,1,12,1,17,1,12,1,17,2,11,1,12,2,17,2,11,1,17,1,12,1,10,1,17,4,12,1,10,1,11,2,10,1,11,1,12,1,9,1,12,1,11,1,12,1,11,4,9,2,10,1,12,5,11,3,12,2,17,34,12,1,17,7,11,2,12,1,17,2,11,1,17,2,12,1,17,1,12,1,17,1,11,3,17,15,12,1,17,1,12,2,17,1,10,1,11,1,10,1,12,1,28,13,9,1,17,4,10,1,9,2,8,1,6,1,13,2,24,1,13,1,9,1,11,1,17,3,10,1,6,1,28,3,30,1,6,1,17,1,12,1,13,1,24,1,8,1,9,2,13,1,30,3,13,2,6,1,7,1,13,1,29,1,28,13,}, {28,3,30,2,28,1,30,1,28,4,6,1,28,1,30,2,28,2,29,1,28,1,29,1,30,1,29,1,28,4,30,2,28,1,13,1,24,1,11,1,9,1,11,1,9,1,16,2,14,1,8,1,6,1,29,1,6,4,17,2,11,1,24,2,8,1,13,1,8,1,13,1,9,2,13,1,7,1,13,1,14,1,10,1,7,1,6,2,30,1,6,1,13,1,8,1,10,1,9,2,13,1,8,3,30,1,29,1,6,1,11,1,17,1,14,1,10,1,13,2,7,1,13,1,30,1,28,21,30,1,28,4,30,2,6,2,9,1,24,1,9,1,8,1,7,1,30,1,6,2,30,1,29,1,8,2,7,1,8,1,13,2,7,1,29,2,28,1,30,1,6,1,28,1,29,1,6,1,7,1,8,1,13,2,24,1,28,16,9,1,33,219,5,6,11,3,16,3,5,1,16,1,5,4,33,1,5,1,33,89,5,737,28,3,6,1,28,1,13,2,6,1,13,2,6,1,7,1,8,1,24,1,12,1,10,1,29,1,7,1,13,4,7,2,8,1,24,1,17,1,12,2,8,1,24,1,13,1,24,1,13,2,6,1,13,1,7,1,6,1,30,1,6,3,30,1,13,1,28,1,30,1,29,1,6,2,7,1,8,1,7,1,13,1,24,1,12,5,17,16,12,1,17,14,12,1,17,11,13,1,29,1,28,67,6,1,28,238,7,1,13,1,9,2,13,1,7,1,13,2,6,1,13,1,6,1,13,2,6,2,7,1,6,1,13,3,6,5,9,2,8,2,9,1,13,4,6,1,9,1,29,1,13,2,6,1,8,3,10,1,9,1,12,1,9,2,11,1,10,1,9,5,17,4,12,1,17,1,9,1,12,2,17,1,12,3,9,1,11,2,17,1,11,1,17,1,12,1,17,2,16,1,17,2,12,1,17,1,11,1,17,1,11,2,17,5,11,1,10,1,17,1,9,1,11,1,10,2,17,1,12,1,17,1,12,1,10,1,12,1,10,1,9,1,17,1,8,1,24,1,8,3,26,1,27,1,30,1,27,1,30,1,28,1,30,1,28,3,30,1,28,2,29,1,28,1,27,1,29,1,26,2,25,1,8,2,24,1,8,1,10,2,24,1,10,1,9,2,12,2,9,1,12,1,9,2,8,1,10,1,24,1,9,1,17,1,24,1,17,1,12,1,24,1,10,1,9,2,24,1,12,1,24,1,8,1,24,1,9,1,17,1,10,2,8,1,9,1,24,1,9,1,12,1,24,1,12,2,17,1,12,4,9,1,10,1,12,2,10,1,24,1,8,1,12,1,24,1,12,2,9,2,17,2,12,1,9,1,11,1,12,1,17,5,16,1,17,21,10,1,11,1,9,1,17,2,11,1,17,1,11,2,17,2,12,2,11,1,16,2,12,2,10,1,9,4,12,2,10,1,9,1,10,2,12,1,24,1,17,1,9,1,12,1,11,2,17,1,12,1,17,1,11,1,17,11,12,1,17,2,30,1,28,4,30,1,28,1,30,1,28,2,13,1,8,1,13,2,8,2,7,1,8,2,6,1,28,11,30,1,28,2,6,2,29,1,7,1,13,1,7,1,24,1,8,1,6,2,9,1,10,1,12,2,17,3,9,1,12,1,17,1,11,1,9,1,17,1,11,1,17,2,12,1,17,1,12,1,11,1,17,3,16,2,17,1,16,5,17,3,11,1,17,8,8,1,24,1,13,1,24,2,10,1,24,1,29,2,7,1,6,1,28,1,30,1,28,12,6,1,28,1,30,2,27,2,25,1,26,1,10,1,8,1,24,2,12,1,24,1,10,1,24,1,17,1,10,2,9,1,10,2,24,1,7,1,9,1,24,2,10,1,8,1,10,1,24,2,10,1,24,1,8,1,24,1,25,1,24,1,26,1,8,2,24,1,25,4,24,1,25,1,8,1,24,1,8,1,24,1,12,1,24,1,17,1,12,1,24,1,12,2,17,1,12,1,17,12,11,2,17,7,12,1,17,2,11,3,12,1,11,1,17,3,12,1,17,2,11,1,17,1,12,1,11,2,12,1,17,1,12,1,17,4,12,1,17,4,12,1,17,4,11,1,17,4,12,2,17,1,12,1,17,3,11,1,17,1,12,1,17,2,12,2,17,1,10,1,12,1,17,1,12,2,17,1,12,1,17,2,11,1,17,1,12,1,11,1,17,2,12,2,17,5,11,1,17,2,11,1,17,1,11,1,12,1,11,1,17,7,11,1,12,1,17,3,12,2,17,1,12,1,17,3,12,1,17,2,12,2,10,1,12,1,17,1,9,1,12,2,9,1,11,1,10,3,12,1,9,1,10,1,9,1,10,2,11,4,12,2,10,2,11,1,17,2,11,1,17,7,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,6,11,1,17,6,12,1,17,1,11,1,17,3,12,1,17,10,11,1,17,2,12,1,17,1,11,2,17,3,10,1,17,17,12,1,17,3,11,1,12,1,17,1,6,1,28,2,29,1,28,10,11,1,17,3,16,2,10,1,9,1,8,1,24,1,13,2,9,1,13,1,9,1,17,5,30,1,28,2,30,1,6,2,17,2,13,1,8,1,9,1,17,2,11,1,8,1,6,1,30,2,28,2,8,1,13,2,6,1,30,1,28,11,}, {28,4,30,1,6,1,28,2,6,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,29,1,30,1,28,3,29,1,28,1,30,1,24,1,12,1,17,3,11,1,17,1,14,1,7,2,13,1,7,1,6,1,7,2,17,1,11,1,9,1,13,1,8,2,9,1,13,2,24,1,13,1,29,1,6,1,8,1,14,1,9,1,7,1,6,4,13,1,10,1,17,1,13,1,9,2,8,1,6,3,30,1,13,1,10,1,17,2,9,1,13,1,6,1,8,1,13,2,28,20,30,1,28,4,30,3,7,1,13,1,24,1,9,1,10,1,9,1,7,1,29,1,6,1,29,1,28,1,7,1,13,1,8,2,24,1,7,2,8,1,28,1,6,1,30,1,28,1,6,1,28,1,6,1,13,3,8,2,9,1,13,1,28,11,29,1,28,3,9,1,5,1,33,214,13,2,9,1,13,2,9,6,16,3,17,7,16,1,5,3,33,1,5,1,33,87,5,736,28,5,13,3,8,1,13,3,9,1,7,1,12,1,8,1,6,1,7,1,10,1,7,1,6,1,13,1,6,1,7,2,12,1,24,1,9,1,12,1,24,2,13,1,8,1,13,1,6,4,30,2,13,1,29,1,6,1,7,1,29,1,6,3,13,1,30,1,8,3,13,1,17,1,12,1,10,1,17,1,12,1,17,36,12,1,17,4,24,1,28,57,30,1,28,24,30,3,28,229,13,1,29,1,6,1,28,1,6,2,30,2,28,1,13,1,30,1,6,3,7,1,29,1,30,1,28,2,29,1,6,1,10,1,13,1,8,1,9,1,8,1,13,4,8,1,13,6,6,1,11,1,8,1,9,1,11,1,8,3,11,1,9,1,11,2,10,1,17,1,11,1,10,1,17,3,12,2,17,2,12,2,17,1,10,1,12,3,17,2,12,1,17,1,12,1,17,1,16,1,17,3,16,1,17,1,16,1,17,3,11,3,17,1,10,1,17,2,12,1,10,1,12,1,17,2,11,1,17,4,12,1,9,1,8,1,24,2,8,3,27,1,26,1,30,2,27,1,28,1,30,1,28,5,30,3,29,1,27,1,29,1,26,1,25,2,8,1,24,1,12,1,9,1,10,3,12,1,17,1,12,1,8,1,12,2,10,1,12,1,9,3,10,4,9,1,24,1,12,1,24,1,8,1,24,1,8,1,24,1,13,1,24,1,8,6,24,3,12,1,24,1,17,1,12,1,17,1,8,1,9,1,12,1,10,1,8,1,17,1,12,1,9,1,17,1,12,1,10,1,12,1,24,1,10,1,9,1,10,1,9,2,11,2,10,1,17,22,16,1,17,8,11,1,17,1,9,1,12,1,17,1,9,1,16,3,9,2,11,2,12,1,11,1,17,1,11,1,12,4,17,1,12,2,17,2,12,1,9,1,17,1,13,1,12,1,9,1,10,1,12,1,17,1,12,1,17,2,11,1,17,8,11,1,17,2,12,1,28,7,30,1,28,3,8,1,12,1,24,1,8,1,24,2,8,3,6,1,29,1,28,12,29,1,30,1,29,1,25,1,13,1,8,1,24,1,8,1,29,1,6,1,24,1,12,5,10,1,11,2,9,2,12,1,11,1,17,6,16,1,17,3,16,2,11,1,16,4,17,1,16,1,17,2,11,1,17,7,12,1,8,2,6,1,8,1,13,1,24,1,8,1,7,1,29,1,6,1,28,1,29,1,28,12,30,1,28,1,30,1,28,1,26,1,28,1,25,1,6,1,8,2,24,4,29,1,9,1,12,1,17,5,10,3,24,1,10,1,24,2,10,2,24,4,8,1,25,2,27,1,25,1,8,1,26,1,25,5,24,10,12,1,24,1,12,1,8,1,10,2,17,11,11,3,16,1,17,7,11,2,9,1,11,2,17,6,12,1,17,2,12,3,17,1,12,1,17,1,12,1,17,8,10,1,17,4,11,1,17,1,11,1,17,2,11,1,17,3,12,1,17,4,11,2,12,1,17,2,10,1,17,1,12,2,17,2,12,1,17,1,12,1,17,1,12,1,17,1,11,1,12,1,17,1,11,1,12,1,17,1,11,1,17,7,12,1,11,1,17,1,11,1,17,1,11,1,17,4,12,1,17,4,12,1,11,1,17,2,12,1,17,1,12,1,17,1,12,3,9,2,11,1,12,1,11,2,17,1,12,1,10,1,9,1,11,2,9,1,10,1,12,1,10,1,9,1,11,1,10,1,11,1,9,1,11,1,12,1,17,1,11,1,17,3,11,2,17,3,12,1,17,8,12,1,17,1,12,1,17,9,11,1,17,3,11,1,17,2,12,1,17,1,11,1,17,1,12,1,17,3,12,1,11,1,17,1,12,1,11,1,17,1,12,1,17,2,11,1,17,1,11,2,17,2,12,3,10,1,17,16,11,1,17,1,11,1,17,1,10,1,17,2,10,1,7,1,28,12,6,1,10,1,17,3,12,1,17,1,8,1,12,1,24,3,8,1,13,1,12,1,17,1,16,1,17,4,6,1,28,3,30,1,13,1,17,2,9,2,17,2,9,1,13,1,6,1,28,8,30,1,6,1,7,1,13,1,29,1,6,1,28,7,}, {28,4,6,1,29,1,30,1,7,1,28,1,30,1,28,7,30,1,28,1,29,2,28,3,30,2,28,1,6,1,28,1,7,1,13,1,10,1,12,2,16,1,17,2,14,1,13,2,7,1,6,1,30,1,6,2,11,1,17,2,8,1,24,1,8,1,13,1,8,2,13,1,8,1,6,2,7,1,14,1,10,1,7,1,6,2,8,1,13,1,7,1,8,1,15,1,24,1,9,1,13,1,6,1,8,1,6,2,13,1,8,1,16,1,17,1,16,1,15,1,24,1,13,1,9,1,24,1,13,1,28,21,30,1,28,1,30,1,28,2,30,1,6,1,13,3,24,1,8,2,7,1,28,1,30,1,6,1,30,1,6,1,8,1,10,1,9,2,24,1,13,1,6,2,29,1,7,1,30,2,29,3,10,1,13,2,9,1,8,1,13,1,28,11,30,1,28,3,13,1,33,213,5,1,6,1,13,2,9,1,11,2,17,20,5,2,33,89,5,733,13,1,28,3,6,1,28,1,13,1,30,1,8,2,7,1,13,1,9,1,8,2,24,1,8,1,13,1,8,1,6,3,7,1,6,1,9,1,12,1,10,1,24,1,10,2,9,1,8,1,9,1,13,1,8,1,6,1,13,1,6,1,30,2,13,1,6,2,30,1,29,1,30,1,6,1,30,1,6,1,13,1,7,1,8,1,13,1,9,1,24,1,11,1,24,1,11,1,17,41,7,1,30,1,28,58,30,1,28,14,6,1,28,11,30,1,28,1,30,1,28,233,30,1,6,1,28,1,29,1,30,1,6,1,30,2,6,1,29,1,6,4,7,1,8,1,9,1,13,7,8,1,13,2,7,2,6,2,13,2,9,1,10,1,9,3,17,1,12,1,17,1,12,2,17,1,11,1,17,7,12,2,17,1,9,1,12,4,17,1,12,1,17,9,12,1,17,2,12,1,11,1,17,1,11,1,17,2,11,2,17,1,9,1,11,1,17,2,9,1,12,3,17,1,24,1,12,1,17,1,9,1,24,1,8,1,10,1,8,1,24,1,25,2,29,4,30,1,28,4,27,1,28,2,29,1,27,1,25,1,8,2,29,1,8,1,24,1,8,1,12,1,10,1,9,1,12,1,9,1,11,1,9,1,17,1,10,1,17,1,12,1,24,1,10,2,24,2,17,1,9,2,12,2,9,1,12,1,8,1,9,1,24,2,8,1,24,3,10,1,24,3,8,1,12,1,7,1,12,1,9,2,17,1,9,2,12,5,24,1,10,3,12,1,24,1,10,2,24,1,12,1,10,1,12,1,10,1,12,1,9,1,12,1,17,5,16,1,17,3,16,2,17,14,16,2,17,3,11,2,10,1,12,1,17,2,11,1,17,4,9,1,16,1,11,1,10,1,11,1,17,1,10,2,12,2,17,2,12,2,9,2,11,1,10,1,9,1,17,1,9,1,17,1,12,1,17,1,10,1,17,5,12,1,17,7,12,1,17,1,12,1,17,1,28,5,29,1,30,1,28,3,30,1,13,2,24,2,8,1,24,2,8,1,9,1,7,1,13,1,30,1,28,14,7,2,8,1,24,2,6,2,13,1,17,2,12,1,17,5,11,1,10,1,9,1,10,2,17,4,11,1,17,5,16,1,17,1,16,2,17,2,16,1,17,3,11,1,17,7,11,1,13,1,7,1,8,1,7,1,8,1,24,1,6,1,30,1,29,1,28,17,30,2,29,1,27,1,25,1,29,1,25,2,7,1,30,1,10,1,30,1,28,1,17,1,12,1,9,1,10,1,12,1,17,2,10,1,12,1,24,1,10,1,9,1,24,4,10,1,24,2,10,1,12,1,8,1,24,2,25,2,8,3,24,1,8,1,24,4,8,1,24,2,12,1,24,2,10,1,12,2,17,1,12,1,9,1,12,2,10,1,17,9,11,1,17,1,16,1,17,3,16,1,17,3,11,1,17,1,12,1,11,1,17,1,11,1,12,1,17,2,12,1,17,3,12,3,11,3,17,14,11,1,17,3,11,1,17,4,11,1,17,1,12,1,17,1,12,1,11,1,9,1,12,1,17,5,12,2,17,6,12,1,17,5,12,1,17,13,12,1,17,2,11,1,17,5,12,3,17,4,10,1,17,3,12,1,11,1,12,1,17,1,12,1,11,2,12,2,17,1,12,2,10,1,11,1,17,1,12,1,10,1,9,1,12,1,11,1,12,1,11,1,9,1,17,1,11,2,17,1,12,1,17,2,11,1,12,1,17,1,11,1,12,2,17,1,12,2,17,2,11,1,17,19,11,1,17,4,11,2,17,3,12,1,17,6,12,1,11,1,17,2,11,1,17,2,9,1,11,1,10,1,17,1,10,1,17,16,12,1,17,1,12,1,17,4,12,1,11,1,30,1,28,12,30,1,12,1,17,3,11,1,10,1,9,1,11,1,9,1,8,1,9,1,8,1,13,1,9,1,16,1,17,4,9,1,6,1,28,4,8,1,17,1,16,1,17,3,8,1,13,1,10,1,29,1,28,10,6,1,28,1,13,1,28,8,}, {28,4,6,1,28,1,30,3,28,7,30,2,28,1,30,1,28,4,30,1,28,2,6,1,30,1,6,1,24,1,17,1,12,1,17,5,13,1,6,1,13,1,6,1,30,1,29,1,30,1,17,3,9,3,13,2,8,2,9,1,13,2,24,1,14,1,9,1,13,1,6,2,13,1,6,1,7,1,24,1,10,1,12,1,9,1,10,1,7,1,8,1,7,1,6,1,13,1,7,1,12,1,17,1,16,1,13,1,8,1,13,1,24,1,8,1,6,1,30,1,28,22,29,1,30,1,28,2,29,1,6,1,24,1,13,1,9,2,24,1,28,1,30,1,13,1,29,1,30,1,29,1,13,1,24,1,8,1,24,1,8,1,13,2,29,2,6,1,28,1,30,1,13,1,28,1,6,1,13,1,8,1,13,1,9,1,24,1,7,1,30,1,28,14,13,1,33,211,5,1,33,1,13,2,9,2,12,1,17,24,16,1,5,4,33,87,5,730,13,1,28,2,6,1,13,1,28,1,8,1,7,1,8,1,7,1,9,1,13,1,8,2,24,1,9,1,13,5,9,1,7,1,13,1,8,1,24,2,10,2,12,1,8,2,24,1,7,1,13,1,7,2,28,1,29,1,6,1,28,1,6,2,30,1,13,1,30,1,7,2,30,1,7,2,13,1,24,1,10,2,24,1,17,1,11,1,17,27,12,1,17,1,12,1,17,9,8,1,28,62,30,1,28,13,30,2,28,12,30,1,28,239,30,1,28,2,30,1,29,1,28,1,6,1,28,2,8,2,6,1,13,4,8,1,10,1,9,2,13,1,9,1,12,2,11,1,17,5,12,1,17,13,9,1,17,1,12,1,17,1,12,1,9,1,12,1,11,1,17,1,12,2,17,16,9,1,17,1,12,1,10,1,17,1,11,2,17,4,12,1,17,2,10,1,12,3,24,1,9,2,24,3,8,1,27,2,28,1,29,1,30,1,28,4,30,1,28,1,30,1,29,1,30,1,29,2,28,1,25,1,8,1,13,1,8,1,12,5,10,1,17,1,11,1,12,1,9,1,17,1,11,1,12,2,9,1,11,1,17,1,12,1,11,2,12,2,9,1,8,1,12,2,13,1,9,1,24,1,9,1,24,1,8,1,13,1,8,3,9,1,24,3,9,1,12,1,9,1,17,1,12,1,24,1,17,1,9,2,12,1,10,1,17,1,12,1,10,1,12,2,10,2,17,1,10,1,17,1,12,1,9,1,10,1,11,1,9,1,12,1,17,7,16,1,17,20,9,1,17,2,11,1,10,1,17,1,16,1,11,1,16,1,17,2,16,1,11,2,17,1,16,1,11,1,17,1,9,1,17,1,9,1,12,1,10,1,9,1,11,1,12,2,10,1,9,1,12,2,17,1,10,1,12,1,9,1,11,1,17,1,16,1,12,1,16,1,17,2,12,1,17,7,12,1,11,1,17,1,8,1,28,7,30,2,28,2,13,1,24,1,9,1,8,1,9,1,10,1,9,2,8,2,24,1,7,1,30,1,28,11,30,1,28,1,6,1,7,1,8,1,7,1,13,1,6,1,30,1,7,1,12,2,17,1,12,1,17,1,12,1,11,1,12,2,9,1,12,2,8,1,11,2,17,3,11,2,17,2,11,1,16,5,17,4,16,1,11,1,17,7,10,1,7,1,13,1,7,2,24,1,25,1,6,2,29,1,30,1,28,19,29,1,30,1,27,1,6,1,28,3,13,1,28,1,13,1,9,1,8,1,9,1,12,1,9,1,10,1,12,1,9,1,12,1,10,1,24,2,9,1,8,1,24,2,8,1,17,1,24,1,12,1,24,1,8,1,26,1,25,1,26,1,25,4,8,1,24,2,8,1,24,1,25,1,24,2,8,1,10,1,24,1,10,1,24,1,12,1,10,1,9,2,12,1,9,1,17,12,11,1,16,1,17,4,11,1,17,2,12,1,11,2,10,1,9,1,12,2,17,7,12,2,17,1,11,1,12,1,17,1,12,1,17,13,12,1,17,10,12,1,17,3,12,1,11,2,17,1,11,1,17,1,11,1,17,1,11,1,17,5,12,2,17,6,11,1,17,1,12,1,17,2,12,1,17,3,9,1,11,1,17,5,12,1,17,5,12,1,11,2,10,1,12,1,17,1,12,1,11,1,12,1,17,1,12,2,10,1,11,1,17,1,12,2,17,1,12,2,10,2,9,1,10,2,11,1,10,1,24,1,12,1,10,2,12,1,11,3,12,1,10,1,17,1,12,1,10,1,17,1,11,1,12,2,11,2,17,2,12,2,17,1,12,1,17,5,12,1,17,11,11,1,17,1,12,1,11,1,17,14,11,1,17,3,12,1,10,1,17,2,9,1,17,1,10,1,17,1,12,1,11,1,17,17,12,1,17,3,12,1,17,1,9,1,6,1,28,12,30,1,16,1,17,3,8,1,9,1,11,2,9,1,8,1,9,1,8,1,12,1,11,1,17,2,16,1,17,1,11,1,9,1,6,4,13,1,9,1,17,3,11,1,8,2,13,1,24,1,29,1,28,11,6,1,30,1,28,8,}, {28,4,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,2,29,1,30,1,28,1,6,1,30,1,28,2,30,1,28,1,30,3,12,1,9,1,17,1,16,1,17,4,8,1,6,4,13,1,30,1,9,1,17,1,11,2,9,1,13,1,8,1,9,1,10,1,9,1,8,1,7,1,13,2,14,1,10,1,8,1,6,1,13,1,6,1,8,1,6,1,24,1,10,1,17,1,8,1,6,1,9,1,7,1,6,1,7,1,13,2,12,1,17,1,12,1,9,1,13,2,9,1,15,1,13,1,30,1,28,1,30,1,28,9,29,1,28,4,30,1,28,4,30,1,28,4,30,1,6,1,30,1,9,1,24,1,9,2,8,1,30,1,6,2,29,2,24,1,8,1,15,1,24,2,13,1,7,1,29,1,6,3,28,1,30,2,6,2,8,3,9,1,13,1,28,2,30,1,28,8,29,1,28,3,13,1,33,211,13,1,6,1,13,1,11,1,9,1,17,28,16,2,5,3,33,87,5,728,13,1,28,2,6,2,29,1,8,1,6,1,13,1,7,1,13,1,8,1,13,1,12,1,10,1,9,1,8,1,13,1,24,1,7,1,8,1,29,1,13,2,12,1,10,1,24,1,10,1,8,1,10,1,8,1,24,1,8,1,6,1,13,2,7,1,13,1,30,1,7,1,30,2,6,1,30,1,29,1,6,1,7,1,29,1,6,1,13,1,6,1,13,1,10,1,17,1,11,1,9,1,11,1,10,1,17,29,11,1,17,1,12,2,17,3,11,1,13,1,6,1,28,78,13,1,28,13,13,1,6,1,28,1,29,1,28,210,30,1,28,1,30,1,28,2,30,2,28,6,30,1,28,19,6,1,30,1,28,5,30,1,13,1,28,3,6,1,28,4,6,1,28,2,6,1,13,4,8,2,13,2,10,1,11,2,9,1,11,1,10,1,8,4,9,1,6,1,8,1,6,1,7,1,30,1,13,2,9,1,13,1,9,3,12,1,17,1,12,1,11,1,17,2,9,2,17,2,12,1,17,1,11,1,17,1,11,1,17,1,12,1,10,1,11,1,10,2,11,1,17,2,12,1,11,1,12,1,10,1,12,1,10,1,24,1,8,2,24,1,8,1,13,1,29,2,27,1,30,1,28,3,30,2,28,2,29,1,28,1,27,1,29,2,25,1,24,3,10,1,9,1,12,1,10,1,12,1,17,3,12,2,17,2,12,1,10,3,9,1,17,1,11,2,9,2,12,1,24,1,9,1,24,2,8,1,12,1,24,1,8,1,10,1,24,2,9,1,13,1,9,1,8,1,24,1,12,1,24,1,10,1,17,1,12,2,9,1,10,1,24,1,8,1,12,1,17,1,24,2,17,1,24,1,17,1,24,1,17,2,10,1,12,4,11,2,12,1,17,10,16,1,17,1,16,1,17,20,11,1,17,1,11,2,17,2,16,1,17,3,11,1,16,1,17,1,9,1,17,2,8,1,10,1,12,1,17,2,8,1,12,1,9,1,12,1,9,1,10,1,12,2,17,3,10,1,17,3,12,2,17,11,13,1,28,7,29,1,28,1,29,1,28,1,29,1,13,1,24,1,12,1,10,1,17,1,12,1,9,1,13,1,24,1,8,1,6,1,7,1,30,1,28,11,29,1,8,1,13,2,8,2,6,1,7,1,30,1,9,1,12,2,17,4,9,2,10,1,12,1,10,2,12,1,17,4,12,1,16,1,17,2,16,1,17,1,16,2,17,16,8,1,7,1,6,1,8,1,24,1,7,2,29,1,28,21,29,1,27,2,6,1,30,1,28,1,30,1,28,1,13,1,17,1,24,1,12,1,10,1,13,1,12,2,9,1,12,1,10,1,12,1,24,1,12,1,24,1,8,1,12,1,24,1,12,3,24,3,25,3,24,2,8,1,24,1,26,1,25,2,24,2,8,1,24,2,12,1,10,1,24,1,12,3,24,2,17,1,12,1,17,12,16,1,17,6,16,1,12,1,17,2,12,1,11,2,12,1,17,5,12,1,17,3,12,2,17,2,9,1,17,1,11,1,17,2,12,1,17,6,9,1,11,1,10,1,17,2,11,1,17,6,11,1,17,6,11,1,17,1,9,1,17,1,12,1,11,1,17,2,12,1,17,1,12,1,17,1,12,1,17,4,12,1,17,5,12,1,17,11,12,1,11,1,17,2,10,1,17,2,12,3,11,2,17,1,11,1,12,3,17,1,11,1,12,1,17,1,12,1,11,1,17,1,11,1,12,1,17,1,11,1,10,1,11,1,12,1,9,1,10,1,11,1,10,3,9,2,12,1,10,1,12,1,10,1,11,2,12,1,11,1,17,2,12,1,11,2,17,2,12,1,17,5,11,1,12,1,17,1,11,1,17,16,12,1,17,10,12,1,17,7,11,1,17,2,12,1,11,1,10,1,11,1,17,1,11,1,12,1,17,23,11,1,10,1,28,13,6,1,9,1,17,3,11,1,10,1,11,1,12,1,9,1,8,3,11,1,12,1,16,1,11,1,17,2,16,1,17,1,9,2,8,1,16,1,9,1,13,1,12,1,17,1,9,1,13,2,8,2,9,1,28,12,30,1,28,3,30,1,28,5,}, {28,5,30,1,28,1,6,1,28,5,6,1,28,1,30,3,29,1,28,2,29,1,28,1,30,1,28,1,6,1,7,1,30,1,29,1,7,2,9,1,17,3,12,1,17,2,9,1,8,1,7,1,29,2,6,1,30,1,17,3,9,1,8,1,10,1,9,1,13,1,11,1,12,1,9,1,13,3,14,2,9,1,8,1,6,1,24,1,8,1,29,1,24,1,17,2,8,1,13,1,8,2,13,1,7,2,6,1,17,2,16,1,12,2,8,1,10,1,15,1,7,1,28,1,30,1,28,15,30,1,28,1,29,1,28,1,30,1,28,6,6,1,29,1,24,1,12,2,10,1,8,1,28,1,6,1,30,1,13,1,6,1,13,1,15,1,12,1,24,1,8,3,6,3,30,1,6,2,28,1,30,1,13,2,8,3,6,1,30,1,28,3,30,1,28,10,13,1,33,208,5,2,13,2,16,1,11,3,16,1,12,3,17,11,16,2,17,12,16,1,17,1,16,1,5,3,33,88,5,725,30,1,28,4,6,1,7,1,6,1,13,3,8,1,9,1,10,1,9,1,13,1,8,1,24,2,13,1,7,1,8,1,7,1,13,1,9,1,10,1,9,1,10,1,24,1,8,2,13,4,6,1,28,2,6,2,29,1,6,1,30,1,7,1,28,1,30,1,6,1,30,1,6,1,13,1,8,1,12,2,11,1,9,1,10,1,12,2,17,29,12,1,17,5,8,1,30,1,28,81,30,1,28,16,30,1,28,209,30,1,6,1,30,3,6,3,30,1,6,1,29,1,6,1,30,6,28,3,30,2,28,1,30,2,28,7,6,1,30,1,6,2,28,1,6,2,30,1,28,3,30,1,28,3,6,1,28,4,30,2,28,2,30,1,28,6,6,1,28,3,30,1,29,1,13,1,7,1,28,1,13,1,30,1,29,1,6,4,29,1,30,1,29,1,6,1,28,1,30,1,6,1,7,1,13,1,8,1,13,2,6,2,11,1,12,1,17,11,11,1,9,1,12,1,11,2,9,1,8,1,12,2,11,1,17,1,9,1,8,1,9,1,7,1,29,1,6,1,29,2,28,1,30,1,28,1,30,1,28,3,29,1,6,2,7,1,13,1,24,1,10,1,12,3,17,1,12,1,17,4,12,1,17,4,9,1,12,1,10,1,12,2,10,2,11,1,9,1,8,1,12,1,13,1,10,1,24,1,8,1,9,1,7,1,12,1,13,1,8,1,10,1,8,1,24,3,8,1,10,1,12,2,11,1,17,1,10,1,12,1,10,1,9,1,10,1,24,1,17,1,24,1,9,1,17,1,8,1,10,2,24,1,12,1,17,1,12,1,10,2,17,1,10,1,11,1,12,1,17,13,16,1,17,14,12,1,17,3,11,1,17,2,11,1,12,1,17,4,11,1,17,2,16,1,17,1,12,1,17,2,16,2,17,1,16,1,17,3,11,1,17,1,10,1,12,2,9,1,17,2,11,1,17,2,9,1,17,14,8,1,28,7,7,1,6,1,29,2,13,1,8,1,10,1,13,1,17,2,10,2,11,1,10,1,24,2,8,1,7,1,28,9,30,1,28,1,29,1,30,1,8,1,13,1,8,1,6,2,7,1,28,1,8,1,10,1,17,5,9,1,11,1,12,1,24,1,12,1,10,1,12,2,17,8,16,7,17,2,16,2,17,8,10,1,8,1,7,3,29,1,28,25,29,2,28,4,8,1,12,1,11,1,9,1,17,1,9,1,17,1,9,1,10,1,11,1,24,1,12,1,10,1,24,2,10,1,24,7,8,1,25,1,24,1,25,1,27,1,25,3,24,4,25,1,24,1,8,1,12,1,8,1,12,1,24,2,10,3,9,1,17,1,12,2,17,1,12,1,17,1,12,1,17,7,16,1,17,3,16,1,17,5,12,1,11,1,17,2,11,2,12,1,17,6,11,1,17,1,10,2,17,1,10,2,17,5,12,1,17,6,11,1,12,2,17,9,12,2,17,3,11,1,17,2,12,1,11,1,12,1,17,6,11,1,17,4,12,1,17,2,11,1,17,9,11,1,17,3,12,2,11,1,17,2,11,1,17,8,10,1,17,1,10,1,9,1,12,1,17,1,11,1,17,1,10,1,9,1,11,1,12,3,10,1,12,1,9,2,11,1,12,2,11,1,12,1,9,1,17,1,11,1,17,1,11,1,17,1,11,1,17,1,9,1,12,1,17,2,12,1,11,1,17,3,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,18,11,1,12,1,17,1,11,1,17,4,11,1,17,2,11,1,12,1,17,1,12,1,9,1,17,3,11,1,17,1,11,1,17,1,11,2,17,1,12,1,11,2,17,8,12,1,17,15,12,1,30,1,28,3,30,1,28,9,16,1,17,2,11,1,12,1,16,1,12,1,17,1,10,1,12,1,9,1,12,1,9,2,17,1,16,1,17,4,11,1,13,1,9,1,7,1,28,1,6,1,17,2,8,2,13,2,8,1,13,1,7,1,28,21,}, {28,5,30,1,28,10,30,2,6,1,28,4,29,1,30,1,28,1,30,1,28,1,30,1,7,1,8,1,9,1,12,1,10,1,16,1,10,1,17,2,9,1,13,1,6,2,7,1,6,2,10,1,17,2,24,1,11,1,9,3,11,1,12,1,11,1,8,2,13,1,14,2,13,2,8,1,6,1,8,1,13,1,9,1,17,1,16,1,9,1,6,1,8,1,6,1,8,1,6,2,7,1,12,1,17,2,16,1,9,1,24,1,8,1,15,1,9,1,28,14,30,1,28,3,30,1,28,9,6,1,13,1,24,1,12,2,8,1,13,2,7,1,28,1,6,1,30,1,8,1,10,1,14,1,24,1,8,1,7,1,8,1,29,1,7,1,29,1,6,1,30,1,29,1,13,2,7,1,6,1,24,1,13,1,14,1,13,1,28,15,33,208,5,1,33,1,5,1,9,1,17,1,16,2,17,1,16,1,8,1,12,2,17,4,16,1,11,2,12,1,17,2,10,1,17,2,11,2,17,13,16,1,17,1,11,1,9,1,5,1,33,1,5,1,33,87,5,722,6,1,28,2,13,1,30,2,13,1,8,1,13,1,6,1,13,1,8,1,13,1,8,1,10,1,9,1,8,1,9,2,13,2,8,2,13,1,8,1,24,1,10,2,12,1,11,1,10,1,8,2,7,1,6,1,13,1,29,1,7,2,28,1,30,3,29,1,30,1,28,1,8,1,7,1,13,1,7,1,24,1,9,2,17,1,10,2,11,2,17,28,11,2,17,4,8,1,6,1,28,67,30,1,28,1,30,1,28,1,30,2,28,11,30,1,28,16,7,1,28,209,30,1,6,1,28,1,6,1,30,1,29,1,6,1,7,1,6,1,30,2,13,1,30,1,6,1,13,1,30,1,7,1,30,1,28,1,29,1,30,1,6,1,28,1,6,1,29,1,30,3,6,2,30,1,28,1,30,1,6,1,13,1,28,2,29,1,30,1,6,1,30,1,28,2,30,1,28,2,7,1,28,2,30,1,29,1,28,4,6,1,28,7,30,1,28,1,30,2,29,1,30,2,6,1,7,1,30,1,13,1,29,1,6,3,13,1,7,1,29,1,13,2,8,1,13,3,8,1,9,1,11,1,12,1,9,1,11,1,30,1,13,3,30,1,6,1,30,1,13,1,28,17,29,1,30,1,29,1,30,1,7,1,6,1,7,1,6,1,29,1,6,1,29,1,28,1,29,1,30,1,28,1,30,1,6,1,29,1,13,1,24,1,10,1,12,1,9,1,17,1,12,2,10,1,12,1,17,1,12,1,17,2,12,1,17,1,12,2,10,1,17,1,11,1,12,1,9,1,12,1,9,1,10,1,24,2,9,3,24,1,10,1,9,1,8,1,24,1,9,1,13,1,8,2,24,2,13,1,12,2,24,2,12,1,17,1,9,1,12,1,9,1,24,1,10,1,9,1,24,2,10,1,17,1,10,2,12,2,9,1,10,1,12,1,17,1,10,1,12,2,17,9,16,1,17,1,16,1,17,2,16,1,17,17,11,1,17,5,12,1,17,10,16,2,17,2,11,1,17,1,12,1,17,1,10,1,17,3,12,1,9,1,17,1,11,1,10,1,17,17,8,1,28,6,29,1,30,1,7,2,13,1,8,2,9,1,24,2,17,1,9,2,12,1,10,1,12,1,24,2,13,1,28,11,6,2,7,2,8,1,13,1,29,2,7,1,13,1,12,1,17,1,12,1,17,3,10,1,9,1,12,1,8,1,11,1,9,1,17,1,13,1,17,8,16,1,17,1,16,4,17,2,16,1,17,1,11,1,17,8,10,1,9,1,24,1,6,1,30,3,28,23,29,1,30,1,26,1,29,1,30,1,28,2,29,1,13,1,12,1,24,1,9,1,10,1,17,1,24,1,12,2,24,1,10,1,12,1,10,1,12,1,10,1,24,1,10,1,24,3,25,1,8,1,25,1,8,1,25,1,27,1,25,1,8,1,24,2,25,1,12,1,24,5,10,1,12,1,24,1,12,1,17,1,24,1,12,1,17,1,12,1,9,1,10,1,17,1,10,1,11,1,17,8,11,1,17,9,12,1,17,2,11,2,12,1,10,1,17,7,12,1,17,1,11,1,10,1,11,2,17,3,12,1,17,1,11,1,17,1,11,1,17,6,12,1,17,7,12,1,17,10,11,1,17,8,11,1,17,1,12,1,17,1,12,1,17,13,11,1,17,7,11,2,17,2,12,1,17,1,11,1,12,1,17,1,9,1,10,1,12,1,11,1,10,1,12,2,10,1,11,1,17,1,11,1,12,1,9,1,12,1,10,2,12,2,17,1,11,1,10,1,17,1,11,1,12,1,17,1,9,1,12,2,17,3,12,1,11,1,17,3,12,1,17,2,11,1,17,1,12,3,11,1,17,1,10,1,17,1,12,1,17,14,11,1,17,2,12,1,17,1,11,1,17,5,12,1,17,4,11,1,17,9,11,4,12,2,17,1,10,1,17,20,12,1,17,3,24,1,29,1,28,2,30,1,28,9,29,1,17,3,12,1,16,2,17,2,11,1,9,1,11,1,10,1,9,1,11,1,16,1,17,5,9,1,30,1,28,4,17,2,24,1,9,1,7,1,13,1,6,1,7,1,30,1,28,21,}, {28,15,6,2,29,1,28,1,30,2,6,1,28,1,30,1,29,1,30,2,29,1,30,1,7,1,8,1,9,1,17,1,12,2,17,3,11,1,9,1,6,1,8,1,6,1,29,1,6,1,11,1,17,2,11,1,17,1,16,1,9,1,11,2,14,1,9,1,24,2,9,1,17,1,12,1,13,3,8,2,13,1,12,1,16,1,11,1,8,1,13,1,29,1,28,1,13,2,7,2,10,1,17,1,10,1,17,1,8,1,24,1,8,1,15,1,13,1,30,1,28,18,30,1,28,7,6,1,13,1,8,1,24,1,8,1,17,1,11,1,13,2,30,1,29,1,6,2,24,1,10,1,15,1,24,1,10,1,8,1,6,2,7,1,29,1,28,1,30,1,6,1,13,2,8,1,6,1,8,1,24,1,11,1,6,1,28,12,6,1,28,2,5,1,33,209,16,1,17,1,16,1,17,2,11,1,16,1,17,1,16,2,17,3,16,1,17,28,16,1,17,1,16,1,5,1,13,1,5,1,33,1,5,1,33,4,5,1,33,78,5,721,28,3,13,1,28,1,30,1,13,1,7,1,29,1,6,1,8,1,13,1,9,1,24,1,9,1,10,1,24,1,13,1,9,1,8,1,13,1,8,1,24,2,9,2,11,1,12,1,9,1,10,1,7,1,13,1,24,1,6,1,13,1,6,2,29,1,6,1,28,1,29,2,6,2,30,1,6,2,8,1,7,1,29,1,9,2,10,1,17,1,10,1,11,2,17,23,12,1,17,4,9,1,17,4,9,1,7,1,28,73,30,1,28,13,30,1,6,1,28,223,30,2,29,1,7,1,29,1,6,1,7,1,13,1,30,1,13,1,6,1,13,1,6,3,7,1,6,1,13,1,30,1,6,1,29,3,7,1,13,1,29,1,30,1,7,1,6,1,29,1,6,3,28,1,13,1,8,1,6,2,13,1,28,1,30,2,28,1,30,1,29,1,28,3,30,2,28,2,30,2,28,3,6,2,30,3,28,2,30,1,28,2,6,1,28,1,30,1,29,1,28,1,6,3,13,1,7,1,13,1,9,1,8,1,9,3,11,2,13,2,8,1,13,1,30,1,28,13,30,1,13,2,28,24,30,1,28,1,30,1,24,2,6,1,30,1,6,1,29,1,6,1,13,2,7,1,24,1,10,2,17,3,12,1,17,1,12,1,17,1,11,1,17,1,12,1,11,1,17,1,11,1,24,1,12,1,24,1,8,1,9,1,10,1,9,1,24,1,9,1,10,2,9,1,24,1,8,1,9,1,8,1,9,1,13,1,10,1,8,1,24,1,10,1,12,1,17,3,10,3,9,1,17,2,8,2,12,1,9,1,12,1,24,1,10,1,12,1,10,1,17,1,24,1,9,1,8,1,9,1,17,30,16,1,17,4,10,1,12,1,9,1,10,2,17,4,11,1,17,2,11,1,17,1,12,1,17,3,10,1,17,1,16,1,17,1,11,1,17,1,12,1,17,3,12,1,17,3,16,1,12,1,17,16,10,1,28,6,30,1,6,1,7,1,6,1,7,1,24,1,9,2,24,1,8,1,17,1,12,1,10,1,17,1,11,1,24,1,8,1,24,1,13,1,30,1,28,10,6,1,7,2,8,1,13,1,29,1,6,2,30,1,13,1,8,1,10,1,17,5,10,1,17,1,8,1,10,1,9,1,12,1,8,1,9,1,17,9,16,4,17,2,16,1,17,11,9,1,24,1,6,2,28,2,30,1,28,24,26,1,30,1,25,1,26,1,6,1,28,1,29,1,6,1,24,1,9,1,12,1,9,1,12,2,24,1,9,2,17,1,10,1,24,1,8,2,24,1,8,1,25,1,24,1,26,1,8,1,25,3,24,1,26,1,25,1,8,1,24,1,25,1,8,1,24,5,25,1,24,2,12,1,24,1,10,2,24,1,12,1,17,1,12,1,17,10,11,1,16,1,12,1,17,8,12,2,17,1,11,1,17,1,9,2,17,6,12,1,17,1,10,1,11,1,12,1,11,3,17,8,11,2,17,2,12,1,17,13,12,1,17,4,12,3,11,1,17,3,11,1,17,4,12,1,17,19,12,1,17,1,12,1,17,2,11,1,17,2,11,1,17,1,11,1,12,2,11,1,12,1,11,1,9,1,12,1,10,1,17,1,11,1,12,1,10,2,12,2,10,2,12,1,11,1,10,2,12,1,11,3,9,1,12,2,10,1,11,1,17,3,11,3,17,1,11,1,17,3,12,1,17,2,12,2,17,1,12,1,17,1,11,1,17,1,12,1,17,15,12,3,11,1,17,10,11,1,17,2,12,1,17,1,11,1,17,2,12,2,9,1,11,1,10,1,12,1,11,2,9,1,11,1,17,24,9,1,6,1,28,1,30,1,28,10,13,1,16,1,17,2,16,1,17,3,16,1,17,1,9,2,11,2,16,2,17,4,12,1,13,1,28,1,30,1,6,1,28,2,17,2,9,1,8,1,24,1,28,1,30,1,13,1,30,1,28,21,}, {28,7,29,1,28,4,30,1,28,1,6,1,30,1,28,1,6,1,28,1,30,1,6,1,30,2,29,1,28,2,29,1,30,1,29,1,30,1,6,1,13,1,10,1,9,1,12,2,17,1,16,1,15,1,6,1,7,1,13,2,30,1,8,1,9,1,17,3,10,1,9,1,16,1,12,1,16,1,17,1,16,1,6,1,9,1,6,1,9,1,14,1,9,1,13,1,6,1,24,1,13,1,6,1,8,1,9,1,10,1,13,1,9,1,6,2,13,1,29,1,13,1,24,1,12,1,17,1,16,1,10,1,13,2,9,1,12,1,8,1,28,17,30,1,28,8,30,1,6,1,29,1,13,1,6,1,9,1,17,1,8,2,6,1,13,1,6,2,28,1,9,1,13,1,15,1,24,2,8,1,24,1,6,1,29,1,7,1,13,1,8,1,6,1,28,1,6,2,7,1,24,1,8,1,11,1,8,1,29,1,28,11,30,1,28,1,6,1,5,1,33,206,5,2,16,1,17,1,16,1,17,4,16,1,17,41,16,1,11,1,9,1,5,1,33,6,5,2,33,75,5,719,28,3,13,1,28,1,30,1,6,2,7,1,6,1,8,1,13,1,9,1,11,1,10,1,13,2,8,2,9,1,13,1,7,2,9,1,12,1,24,1,9,1,24,1,9,1,12,1,13,1,7,1,13,1,7,1,13,2,6,1,30,1,7,1,29,1,6,1,29,1,28,1,29,1,7,1,13,2,7,1,29,1,7,1,13,1,11,1,17,2,10,2,17,27,12,2,17,3,13,1,28,90,30,1,28,1,30,1,28,14,30,1,28,207,6,1,30,1,28,1,7,1,30,1,7,1,30,1,6,1,13,2,7,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,7,2,13,1,8,1,13,1,6,1,13,4,6,2,17,1,8,1,13,4,7,1,13,1,6,1,30,4,28,1,29,1,28,1,6,1,30,4,7,1,28,1,13,1,6,1,28,1,30,3,28,1,30,1,7,1,6,2,30,3,13,1,6,1,8,1,13,2,9,4,13,1,6,1,28,1,30,1,28,26,29,1,6,1,28,23,6,1,28,2,6,1,7,1,6,1,28,1,29,1,13,1,10,1,12,1,9,1,17,1,12,1,17,3,12,1,11,1,17,1,12,1,11,1,17,2,9,1,17,1,8,1,12,1,9,1,8,1,12,2,8,1,10,1,9,1,24,1,8,1,24,2,13,2,24,1,9,1,24,2,9,1,12,1,17,1,10,1,12,1,17,1,9,1,24,1,12,2,10,1,24,1,17,1,24,1,12,1,24,1,10,2,12,1,24,1,17,1,12,2,17,1,12,1,17,4,16,1,17,28,16,1,17,3,11,1,17,1,11,1,17,1,16,2,17,2,9,1,17,7,12,1,17,3,10,1,17,2,12,3,17,8,12,1,17,13,10,1,28,7,30,1,13,1,8,1,7,1,24,1,9,2,8,1,11,1,12,1,17,3,11,1,9,1,8,2,12,1,8,1,30,1,28,6,30,1,28,1,30,1,6,1,13,1,6,1,30,1,29,1,30,1,28,1,30,1,6,2,13,3,11,1,12,2,17,1,12,2,11,1,9,2,12,1,9,1,12,1,17,7,16,1,17,2,16,4,17,1,16,2,17,9,9,1,8,1,7,1,13,1,30,1,28,26,30,2,26,1,8,1,26,1,25,1,26,1,24,1,6,1,24,2,12,1,17,1,9,3,24,1,10,1,17,1,24,6,8,1,29,1,25,2,27,1,25,4,24,1,25,2,8,1,25,1,8,2,25,1,12,2,8,1,24,1,10,1,24,1,10,1,12,1,17,1,24,1,17,1,10,1,17,1,12,3,17,6,9,1,10,1,11,2,17,9,11,1,17,1,11,2,12,1,11,1,17,2,11,1,17,1,11,1,17,1,11,1,12,1,11,1,12,2,17,1,11,1,17,1,11,1,17,1,9,1,17,3,12,1,11,1,17,4,12,1,11,1,17,1,12,3,11,2,17,3,12,1,17,4,11,1,17,2,12,1,17,2,12,1,17,5,12,1,17,1,12,1,17,13,12,1,17,7,12,1,11,1,17,1,12,1,17,1,11,1,10,2,17,1,10,1,11,2,12,2,10,1,12,2,9,1,17,2,9,1,11,1,10,1,17,1,10,1,17,1,24,1,10,1,12,2,11,1,12,2,11,1,17,1,12,1,10,1,11,1,12,2,11,1,12,1,17,2,12,1,9,1,17,2,12,2,17,3,11,1,12,2,17,1,12,1,17,1,12,1,17,13,12,1,11,1,17,1,11,1,12,1,11,1,17,22,11,1,12,1,10,1,17,1,11,2,10,1,12,1,17,14,12,1,17,9,9,1,28,2,6,1,28,1,29,1,28,8,29,1,14,1,17,3,11,1,17,3,12,1,9,1,16,2,9,1,16,1,11,1,17,2,11,1,17,2,13,1,28,5,10,1,17,1,9,1,6,1,7,1,8,1,29,1,6,1,28,22,}, {28,9,29,1,28,7,6,1,28,1,6,1,28,8,6,1,29,1,13,1,8,2,24,1,10,1,12,1,16,1,14,1,9,1,13,1,8,1,13,2,7,1,13,1,9,1,17,2,12,1,16,1,17,1,10,1,16,1,24,1,17,1,15,1,24,2,6,1,14,2,8,1,13,2,6,1,13,1,7,1,8,1,9,1,10,1,8,1,13,1,6,1,30,1,13,1,6,2,13,1,17,3,24,1,8,3,15,1,13,1,29,1,28,26,30,1,6,1,13,1,24,1,10,1,12,1,11,1,8,1,7,1,30,1,29,3,13,1,24,1,15,1,9,1,24,1,8,1,13,2,7,1,6,1,28,1,29,1,30,1,29,2,7,1,8,2,24,2,8,1,28,12,13,1,28,1,30,1,33,206,5,1,33,1,11,1,17,15,16,1,17,3,11,1,17,4,12,1,17,25,16,1,11,1,16,4,11,1,9,1,13,1,9,1,33,3,5,2,33,73,5,717,28,2,30,1,6,1,28,1,6,1,7,1,6,2,7,1,9,1,13,2,9,1,13,1,8,2,13,3,7,2,24,1,9,1,12,1,17,1,9,2,12,1,7,2,13,1,7,2,30,1,6,1,28,1,6,1,29,1,30,2,7,3,13,1,7,1,6,2,29,1,9,1,24,1,17,1,10,1,12,1,10,1,11,3,12,1,17,22,12,1,17,4,29,1,28,75,30,1,28,1,30,1,28,2,30,1,28,13,30,2,6,1,28,218,30,1,13,1,29,1,13,1,29,1,7,1,13,1,6,1,7,1,6,2,13,2,7,1,13,1,6,1,13,1,7,1,6,2,13,1,7,1,6,1,13,1,6,4,7,1,6,5,30,1,6,1,17,1,13,4,7,1,13,2,8,1,13,6,8,1,13,2,8,1,13,2,8,1,13,2,9,1,8,2,30,1,6,2,7,1,13,3,11,1,17,5,11,1,8,1,28,64,30,1,13,1,6,1,13,2,10,1,17,1,10,1,17,1,12,1,9,1,17,1,12,1,17,1,12,5,24,1,10,2,24,1,8,1,10,2,12,1,8,2,24,1,8,3,9,1,13,1,24,2,8,1,9,1,10,1,11,1,12,4,10,1,17,2,10,1,24,1,12,3,24,2,9,1,12,1,9,1,10,1,9,1,12,2,24,1,12,2,17,15,16,1,17,21,12,1,17,5,16,2,17,2,11,1,17,2,16,1,17,9,11,1,17,2,16,1,17,21,12,1,28,8,30,1,13,2,24,1,13,1,24,1,9,2,11,1,17,3,10,1,9,1,8,1,10,1,24,2,28,8,30,1,6,1,29,2,30,1,28,3,6,3,29,2,30,1,29,1,24,1,10,1,17,1,12,1,17,2,12,2,9,1,10,2,11,1,17,7,16,1,17,1,16,1,17,2,16,4,17,1,11,1,17,8,10,1,13,2,28,27,30,2,29,1,27,1,26,1,25,1,24,1,25,1,24,3,10,1,9,1,12,1,10,1,17,1,24,2,12,1,24,1,10,1,12,1,24,3,25,1,6,1,27,1,26,1,30,1,26,1,27,1,26,1,25,2,27,1,25,1,24,2,26,1,24,2,8,1,12,1,24,1,12,1,24,4,10,1,24,1,17,1,12,2,17,1,8,1,17,8,11,4,17,1,16,1,17,9,12,1,11,3,17,6,11,1,9,1,12,1,11,1,10,1,17,1,12,2,11,1,17,2,12,1,17,1,11,1,17,1,11,1,17,2,11,1,12,1,17,1,11,1,17,10,11,1,17,5,11,1,17,9,11,1,17,1,12,1,17,1,12,3,17,13,12,1,17,3,11,1,12,1,10,2,11,1,17,1,12,1,10,1,11,1,10,1,12,1,11,1,17,1,11,1,12,2,9,1,12,1,9,1,24,1,17,1,9,1,11,1,9,1,17,1,11,1,17,1,12,1,9,1,11,1,12,1,11,1,12,1,17,1,12,1,9,1,17,1,12,2,17,1,11,2,17,4,12,1,17,1,10,1,17,1,12,1,11,1,17,2,12,2,17,14,11,1,17,1,12,1,17,1,11,1,17,1,12,1,17,12,12,1,17,1,11,1,17,1,11,1,17,2,12,1,17,1,12,1,10,1,12,1,17,1,11,2,12,1,9,1,11,1,12,1,8,1,17,11,12,1,17,11,12,1,9,1,30,1,28,1,30,2,28,9,13,1,14,1,17,6,16,1,10,1,9,1,11,1,10,1,11,3,9,1,16,1,11,1,17,2,6,1,28,5,9,1,17,1,8,1,7,1,13,2,6,1,29,1,28,22,}, {28,13,30,1,28,2,30,2,28,3,30,1,28,4,30,1,28,1,29,1,30,1,6,1,8,1,24,1,13,1,8,2,16,1,14,2,13,1,7,1,6,1,13,1,30,1,6,1,9,1,17,2,10,2,11,1,9,1,17,2,11,1,12,1,24,1,8,1,24,1,17,1,14,1,24,1,13,2,8,2,13,1,24,1,8,1,10,1,8,1,13,1,6,1,30,1,28,1,6,1,28,1,7,1,12,1,17,1,14,1,9,1,8,1,24,1,13,1,9,1,7,1,28,16,30,1,28,3,30,1,28,5,30,2,7,2,8,1,10,1,9,1,17,1,13,1,7,1,6,2,30,1,6,1,13,1,10,2,9,1,15,1,9,1,7,2,30,1,29,1,6,3,7,1,6,1,13,2,24,2,10,1,24,1,6,1,28,10,29,1,28,2,13,1,5,1,33,204,5,2,11,1,17,5,16,1,17,14,12,1,17,7,12,1,10,1,17,27,16,1,17,1,16,2,11,1,13,3,6,2,33,73,5,715,28,3,29,1,7,2,8,1,13,1,29,1,6,1,7,1,8,1,24,1,12,1,24,1,13,2,8,2,13,1,8,2,6,1,24,1,11,1,10,1,12,1,10,2,9,1,24,1,7,1,8,1,6,2,7,1,28,1,29,1,6,1,30,2,6,1,28,1,29,1,30,1,6,1,13,1,7,1,29,1,13,1,24,1,9,1,12,1,11,3,17,1,12,1,17,2,11,1,17,23,12,1,28,99,7,2,28,15,30,1,28,201,29,1,6,1,30,1,29,1,13,1,6,1,29,1,7,1,13,1,7,2,13,1,7,1,13,7,7,1,6,1,13,1,7,1,13,1,6,1,7,1,13,2,6,1,7,1,6,1,13,1,6,1,13,1,11,1,9,1,13,2,6,1,13,3,8,1,13,8,9,1,12,2,9,1,10,2,11,2,10,1,9,2,10,1,11,1,12,1,17,4,11,1,7,1,28,72,6,1,7,1,8,1,9,1,17,1,11,1,9,1,12,2,10,1,17,1,12,1,24,1,9,1,12,2,10,1,9,2,24,1,9,1,24,1,9,1,24,1,9,1,12,1,24,1,9,1,8,1,10,1,13,1,8,2,9,1,7,1,10,1,24,1,9,1,12,1,17,3,12,1,10,3,12,1,10,1,24,1,12,1,8,1,10,1,9,1,12,2,24,1,17,1,9,1,12,1,10,1,12,1,17,20,16,1,17,13,16,1,17,2,16,1,17,2,12,2,17,3,11,1,12,1,17,2,12,1,16,1,17,16,12,1,17,1,12,1,17,13,12,2,17,3,9,1,28,7,30,1,24,1,9,1,8,1,24,1,10,1,9,1,11,1,9,1,17,3,8,1,9,1,11,1,9,1,10,1,24,1,6,1,28,7,7,1,29,1,28,1,30,1,28,2,7,1,8,1,6,1,29,1,28,2,30,1,29,1,30,1,6,1,8,1,9,1,17,14,16,1,17,2,16,1,17,1,16,1,17,1,16,3,17,11,9,1,13,2,30,1,28,27,27,1,8,1,29,1,27,1,25,1,8,2,24,4,8,1,24,2,10,1,12,4,10,1,24,1,8,1,29,2,28,2,30,1,27,1,29,1,25,1,26,1,27,1,8,2,24,1,25,1,24,1,8,1,24,2,8,1,24,1,12,3,24,1,12,4,17,1,12,1,17,1,12,2,17,9,12,1,9,1,11,2,16,1,17,6,12,1,17,1,11,1,9,1,11,1,17,1,11,1,17,5,12,1,17,1,10,1,12,1,11,3,17,1,11,1,17,3,12,1,17,10,12,3,17,3,11,1,17,11,11,2,17,5,11,1,17,7,12,1,17,12,12,1,11,1,12,1,10,1,11,1,12,1,11,1,12,2,11,1,17,1,9,1,10,3,12,2,11,1,9,2,10,1,12,1,10,1,9,1,12,1,11,2,12,1,11,1,12,1,11,4,10,1,9,1,12,1,10,1,12,1,11,1,17,2,11,1,12,1,17,2,12,1,17,2,10,1,17,2,11,1,17,2,9,1,17,1,12,2,10,1,12,1,17,9,12,2,17,3,11,1,17,1,11,1,17,1,12,1,17,1,12,1,11,1,17,7,12,1,17,1,12,1,17,5,11,1,12,1,17,1,11,1,17,1,12,1,17,5,11,1,10,1,12,2,17,13,11,1,12,1,17,5,12,1,17,3,12,1,9,1,28,2,30,1,28,10,8,1,14,1,17,5,12,1,17,1,11,1,12,1,10,1,9,1,11,1,9,1,11,1,12,1,16,1,17,2,16,1,30,1,28,4,30,1,12,1,17,1,7,1,30,1,6,2,29,1,13,1,28,22,}, {28,7,30,1,28,2,30,1,28,1,6,1,29,1,6,1,30,1,28,9,29,1,28,1,13,1,6,1,30,1,6,1,24,1,9,1,8,1,13,1,9,2,17,1,15,1,13,2,6,1,13,1,6,1,13,1,8,1,17,3,10,1,9,2,11,1,14,1,9,3,13,1,24,1,15,2,9,1,6,1,7,1,13,1,8,1,13,1,8,1,9,1,10,1,8,1,13,1,7,2,30,1,7,1,30,1,8,2,17,2,12,1,13,1,6,1,8,1,9,1,6,1,28,14,30,1,28,2,30,1,28,5,30,2,28,2,30,2,13,1,8,1,12,1,17,1,10,1,9,1,13,1,7,1,6,1,29,2,13,1,12,2,15,1,24,1,6,1,24,1,8,2,29,1,6,5,7,2,13,2,15,1,24,1,30,1,28,10,30,1,7,1,28,1,33,207,13,1,11,1,16,1,17,1,16,2,17,16,12,2,9,1,11,2,9,1,12,2,17,22,12,1,17,11,10,1,11,1,13,1,9,2,13,1,6,2,5,1,33,1,5,1,33,69,5,712,33,1,28,3,6,1,30,1,7,2,6,1,7,1,6,2,8,2,24,1,8,3,13,3,24,1,7,2,24,1,10,2,24,2,10,2,24,1,6,1,13,2,30,1,6,1,29,1,28,3,6,1,30,1,29,1,6,1,13,1,6,2,7,1,13,1,8,1,9,1,17,1,8,1,9,1,12,2,17,16,12,1,17,9,9,1,28,100,30,1,6,1,13,1,9,1,6,1,28,211,30,1,13,1,28,1,6,1,13,1,29,1,13,5,6,1,7,1,13,2,7,2,13,1,6,1,13,1,8,1,13,1,6,1,7,1,13,3,8,1,7,1,13,3,6,1,13,1,7,1,6,1,7,1,29,1,9,1,17,1,8,2,9,2,12,2,11,1,8,1,9,1,10,1,12,1,11,1,12,1,9,1,11,1,10,1,17,2,12,1,17,2,10,1,11,2,9,1,12,1,17,2,12,1,13,1,6,1,28,32,30,1,6,1,13,1,6,1,7,1,13,1,6,1,7,2,6,1,7,1,13,1,6,1,13,2,6,1,28,33,13,1,12,1,10,1,12,1,10,2,9,1,11,1,12,1,10,2,9,1,12,1,24,1,10,1,8,1,9,1,12,2,9,2,24,1,10,1,8,1,13,1,24,2,9,1,8,1,9,1,8,1,17,1,9,1,17,1,10,1,9,2,17,1,12,1,17,1,12,1,10,1,8,1,12,1,10,2,24,1,9,1,8,1,12,1,24,1,10,1,17,1,10,1,12,2,17,19,16,1,17,1,16,1,17,5,16,1,17,14,16,1,17,9,16,1,17,1,12,1,9,1,17,2,11,1,17,4,16,1,17,10,11,1,17,8,12,1,11,1,17,4,10,1,28,8,7,1,13,1,24,2,9,2,11,1,9,1,17,5,12,1,8,1,9,2,10,1,28,5,30,1,28,1,29,1,28,4,30,1,28,1,6,1,28,3,29,1,6,1,30,1,28,1,30,1,6,1,8,1,17,6,12,1,17,4,16,1,17,2,16,2,17,1,16,2,17,2,16,1,17,3,16,1,17,9,9,1,13,1,28,1,30,1,28,28,29,2,27,1,26,1,8,1,25,2,27,1,8,1,12,1,8,1,24,1,8,2,10,1,7,1,13,1,24,3,7,1,28,5,27,1,29,1,8,1,29,1,25,2,24,2,25,1,24,2,25,2,12,1,24,1,12,1,25,1,12,1,24,1,12,3,10,2,12,2,10,1,17,3,12,1,9,1,17,4,11,1,12,1,11,3,17,6,12,1,11,1,17,1,11,4,12,1,17,6,12,1,17,1,12,1,17,1,10,1,11,1,17,1,10,2,12,1,17,7,11,1,12,1,17,3,11,2,17,1,11,1,17,1,11,1,17,3,12,1,17,1,12,1,17,8,12,1,17,3,11,1,17,6,12,1,17,2,11,1,17,12,11,1,12,1,17,1,11,1,17,1,10,1,11,2,12,1,11,1,9,1,11,1,12,1,11,1,12,1,11,2,10,1,11,1,10,1,17,1,11,1,9,1,12,1,10,1,12,1,11,1,12,1,11,2,10,1,11,1,12,1,17,1,12,3,17,2,11,1,17,1,11,1,12,1,17,1,11,1,12,2,17,1,12,1,17,2,12,1,17,1,11,1,17,1,12,1,11,1,12,2,17,3,12,1,17,3,11,1,17,10,12,1,17,1,12,1,17,3,12,2,17,7,11,1,17,4,12,1,17,4,12,1,17,2,12,1,11,1,17,1,11,1,12,3,17,9,12,1,17,1,10,1,17,12,11,1,8,1,28,11,30,1,28,1,13,1,14,1,17,7,12,1,10,1,9,1,10,2,8,1,16,2,10,1,17,3,28,5,6,1,11,1,9,1,8,1,28,1,30,1,13,1,8,1,6,1,28,22,}, {30,1,28,3,30,1,28,2,6,1,28,3,29,1,30,1,28,1,30,1,28,5,6,1,28,3,30,1,6,1,28,1,6,3,24,2,13,1,8,2,13,1,17,1,16,2,8,1,29,1,8,1,6,1,28,2,6,1,17,3,9,1,10,1,9,2,10,1,16,1,9,1,24,2,6,1,12,1,14,1,8,1,6,2,13,2,9,2,8,1,16,1,8,1,7,1,13,1,6,3,30,1,6,1,11,1,17,2,12,1,9,1,13,1,6,1,14,1,13,1,6,1,28,14,30,1,28,2,30,1,28,9,6,1,13,1,24,1,13,1,17,1,12,1,24,1,6,1,7,1,13,1,7,1,30,1,13,1,12,1,24,1,12,1,8,2,13,1,24,1,8,1,13,1,7,1,28,1,6,2,29,1,13,1,8,3,14,1,24,1,6,1,28,11,6,1,28,1,5,1,33,205,13,1,16,2,9,1,16,1,9,2,17,1,11,1,17,8,16,1,17,3,16,1,17,1,11,1,17,1,12,1,17,1,10,1,9,2,17,1,12,1,17,3,12,1,17,15,12,1,11,1,12,1,17,1,12,2,17,4,12,1,17,4,11,3,10,1,9,1,8,1,9,1,13,1,9,1,13,1,33,1,5,1,33,68,5,711,13,1,28,3,8,1,7,2,6,3,7,1,13,2,10,1,17,1,8,2,13,1,9,1,13,3,8,2,13,1,10,1,24,1,10,2,24,1,8,4,6,1,8,1,6,3,30,1,6,1,29,1,28,1,30,1,29,1,6,1,29,2,7,1,13,1,9,2,17,1,9,1,12,1,10,1,17,3,11,1,17,11,11,1,12,1,17,3,12,1,17,3,10,1,28,85,30,1,28,18,30,1,13,2,11,1,13,1,28,16,30,1,28,196,30,2,29,1,28,1,30,1,28,1,29,1,30,3,6,1,13,1,28,2,6,3,30,2,13,1,6,2,30,1,29,2,6,2,7,1,13,2,7,1,13,2,7,1,30,1,7,1,13,3,7,1,28,4,30,2,28,2,30,2,28,2,30,2,13,2,6,1,8,1,17,1,9,1,11,1,9,1,13,1,30,1,28,34,30,2,13,3,9,3,13,1,8,2,9,1,8,2,9,1,8,1,13,2,6,2,28,3,29,1,6,1,28,29,9,1,10,1,12,2,10,1,12,5,24,2,10,1,8,1,10,1,24,1,9,1,24,1,12,1,8,1,24,1,8,1,24,1,12,1,24,1,8,1,9,1,13,1,11,1,17,2,12,1,17,1,12,4,24,1,17,1,10,2,9,1,12,1,10,2,17,1,9,2,12,2,10,1,17,1,9,1,12,1,17,16,16,1,17,5,16,1,17,24,12,2,17,11,11,1,17,2,16,1,17,2,11,1,17,15,12,1,17,5,24,1,8,1,28,6,30,1,6,1,8,1,12,1,9,1,24,1,9,1,10,1,11,1,17,3,12,1,17,2,12,1,10,1,11,1,24,1,28,6,30,1,29,1,28,1,29,1,28,1,30,2,28,3,30,1,29,1,30,1,6,1,28,4,6,1,24,1,17,4,12,1,17,5,16,1,17,4,16,3,17,1,16,5,17,1,16,1,17,8,13,1,29,1,28,1,29,1,28,26,30,1,28,1,30,1,27,1,25,1,29,1,27,1,25,1,27,1,8,1,29,1,25,1,29,1,30,1,28,5,29,1,7,1,6,1,28,6,30,1,27,1,26,2,27,1,25,1,24,1,8,1,25,1,8,1,25,1,12,1,8,1,24,1,12,1,24,1,12,1,24,2,12,1,24,1,12,1,10,1,12,1,24,1,12,2,17,2,12,1,17,6,11,1,16,1,11,3,17,4,10,1,11,1,17,1,12,1,11,1,12,2,9,1,11,1,12,1,17,9,12,1,11,3,12,3,17,4,11,1,17,4,11,1,12,2,17,1,11,1,17,2,11,3,12,1,17,16,12,1,17,4,12,1,17,4,11,1,17,6,12,1,17,3,11,1,17,2,11,1,12,1,11,1,9,1,11,1,12,1,10,1,17,1,9,1,17,1,11,1,10,2,9,1,12,2,9,1,10,1,11,1,10,3,12,2,10,1,11,1,17,3,11,1,17,1,11,3,17,2,12,1,17,2,11,2,12,1,17,2,12,1,11,2,17,2,12,1,17,4,9,1,17,1,12,1,11,2,17,9,11,2,17,2,12,1,11,1,17,1,12,1,17,21,11,1,17,1,11,1,17,5,12,1,17,1,12,1,17,1,11,1,17,7,11,1,17,14,12,1,17,2,12,1,13,1,28,4,30,1,28,8,8,1,14,1,17,6,16,2,9,1,12,1,8,1,13,1,9,2,11,1,9,1,17,3,28,5,13,1,17,1,8,1,6,1,29,1,6,1,13,1,29,1,8,1,28,22,}, {29,1,28,6,30,4,6,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,4,30,1,28,1,29,1,28,1,30,1,7,2,13,1,8,1,13,1,24,1,11,1,14,1,12,1,13,1,6,1,29,2,30,2,7,1,17,2,9,2,24,1,9,1,8,1,9,1,10,1,12,1,13,3,10,1,17,1,24,1,7,1,6,1,13,1,29,2,8,1,12,2,8,2,6,1,13,1,7,1,6,1,29,2,24,1,17,2,12,1,13,1,9,1,8,1,15,1,8,1,6,1,30,1,28,16,29,1,28,9,13,2,24,1,12,1,10,2,9,1,7,1,30,1,6,4,24,1,12,2,9,1,8,3,6,3,29,1,28,1,29,1,13,2,8,1,7,1,13,1,15,1,9,1,29,1,28,11,13,1,28,1,5,1,33,201,5,1,33,1,13,1,9,4,11,2,17,1,12,1,17,12,12,1,17,1,10,1,17,3,9,1,10,1,12,1,9,1,8,1,9,1,12,1,17,1,11,1,17,3,12,1,17,15,11,1,12,3,17,9,12,1,17,2,9,2,12,1,11,1,13,2,9,1,13,2,33,2,5,1,33,67,5,709,28,4,13,1,6,1,8,1,13,1,6,1,7,1,8,1,24,1,8,1,11,1,10,2,8,2,9,2,24,1,13,1,7,1,13,1,10,1,12,1,9,1,10,1,24,1,8,1,10,1,24,1,6,1,8,1,7,1,6,1,29,1,28,1,29,1,30,1,6,1,28,1,6,1,29,1,30,2,6,1,29,2,13,2,17,1,11,1,9,1,12,2,17,3,12,1,17,1,12,1,17,9,12,1,17,7,29,1,28,87,30,1,28,1,30,1,6,1,28,15,13,1,9,1,13,1,10,1,9,1,28,15,30,1,28,291,30,2,28,1,6,1,13,2,9,2,12,1,11,1,10,1,9,1,8,1,13,1,9,2,13,2,9,1,7,2,6,1,13,1,30,1,13,1,29,1,7,1,6,4,29,1,28,1,30,1,28,1,30,1,28,23,8,1,17,1,11,1,17,1,10,1,9,1,12,1,10,3,12,1,9,2,13,1,10,1,9,1,10,1,8,1,13,1,10,1,13,1,8,1,9,2,12,1,17,1,12,1,17,3,10,2,12,1,17,1,12,1,9,1,12,1,24,1,9,2,8,1,17,1,9,1,10,1,12,1,10,1,24,2,10,1,17,1,12,1,17,55,11,1,17,26,16,1,17,7,9,1,28,7,30,1,13,1,8,1,10,1,11,1,17,1,10,1,11,1,17,6,12,1,17,1,11,1,9,1,7,1,28,8,29,1,28,1,30,1,28,4,6,2,29,1,28,1,30,1,28,3,30,1,6,1,12,1,17,10,16,1,17,2,16,3,17,1,16,1,17,1,16,4,17,1,16,1,17,6,12,1,17,1,29,1,6,1,30,1,28,29,30,2,29,1,25,2,26,2,29,1,25,1,29,1,27,1,28,15,30,2,8,1,27,1,8,1,24,1,8,2,10,1,17,1,12,1,10,1,24,1,10,1,24,1,12,2,17,1,24,1,17,2,10,2,17,2,12,1,17,8,12,1,17,1,10,1,17,1,11,1,17,1,12,1,11,1,17,4,11,1,12,1,17,1,11,4,17,3,12,1,17,3,11,1,12,1,10,1,11,2,17,1,11,1,10,1,9,1,11,1,12,1,11,1,17,10,12,1,17,2,12,2,17,1,11,1,17,1,11,1,17,8,12,1,17,9,11,1,17,2,12,1,17,4,12,1,17,1,12,1,17,7,12,2,17,1,12,3,11,1,10,1,11,1,8,1,11,1,10,2,12,1,10,2,9,2,11,1,10,1,9,1,10,1,9,1,10,2,11,2,17,1,12,1,10,2,11,2,17,1,10,1,17,5,11,1,17,7,12,1,17,5,12,1,17,1,12,2,11,1,17,1,12,1,11,1,12,1,11,1,17,4,12,1,17,3,11,1,17,1,11,1,17,4,11,1,17,1,12,1,17,1,12,1,17,3,12,1,17,10,11,2,17,3,11,1,17,2,12,1,17,4,12,3,17,11,12,1,17,10,12,1,17,2,12,1,6,1,28,2,30,1,28,1,30,1,28,6,29,1,30,1,13,1,14,1,17,6,16,1,12,1,9,1,10,1,9,1,8,1,9,2,13,1,11,1,17,2,9,1,28,5,13,1,17,1,8,1,6,2,13,2,8,1,6,1,29,1,28,21,}, {6,1,28,4,30,1,28,1,30,2,28,1,30,1,29,1,30,2,28,13,30,1,28,1,6,1,29,1,13,1,8,1,7,1,11,1,9,1,11,1,17,2,8,1,6,2,29,1,6,1,28,1,9,1,10,1,17,1,9,1,8,1,24,1,8,2,24,1,9,1,8,1,6,1,13,2,15,1,14,1,10,1,6,2,29,1,6,1,8,1,13,1,9,1,8,3,29,1,7,1,28,2,29,2,10,1,12,1,16,1,10,1,9,1,13,1,9,1,11,1,8,1,6,1,28,19,30,1,28,3,30,1,28,3,13,2,9,1,12,1,16,1,12,1,24,1,6,4,28,1,7,1,9,1,10,2,8,1,15,1,6,1,7,1,8,1,6,1,28,1,6,2,28,1,6,1,7,1,13,1,8,2,9,1,15,1,28,12,6,1,28,1,5,1,33,190,5,1,33,10,5,1,13,1,9,4,11,1,16,1,17,14,16,1,12,1,17,5,12,1,24,2,10,1,12,1,17,3,10,1,17,19,12,1,17,1,12,1,11,1,12,1,17,12,12,1,11,1,12,1,17,1,11,1,16,1,9,2,13,1,9,1,33,2,5,1,33,66,5,707,6,1,28,3,13,2,30,1,8,1,7,1,30,1,13,1,8,2,12,1,13,1,24,1,10,1,8,1,13,2,8,1,24,1,13,2,11,2,24,3,12,2,24,1,7,1,24,1,13,2,30,1,6,1,30,1,29,1,28,1,6,2,30,3,29,1,6,1,13,1,6,1,9,4,12,2,17,16,11,1,12,2,17,1,11,1,13,1,30,1,28,89,29,1,28,3,30,1,28,13,30,1,8,1,13,1,9,1,8,1,9,1,11,1,13,1,28,15,30,1,28,276,30,1,28,7,30,1,28,4,29,1,28,3,13,1,9,1,10,1,12,2,11,1,17,1,8,1,10,1,8,1,9,1,13,1,8,1,13,2,8,3,13,1,7,1,13,1,7,1,24,1,13,1,8,1,13,3,9,1,7,1,13,3,6,2,7,1,30,1,28,1,30,1,28,18,13,1,9,1,17,1,11,1,9,2,24,2,9,1,8,1,12,1,13,1,10,1,9,1,24,1,9,1,8,1,13,1,9,1,13,1,24,1,17,1,12,1,17,1,12,2,17,1,11,1,17,3,12,1,10,1,12,1,8,1,12,1,10,1,12,1,10,1,12,1,10,1,12,1,24,1,9,1,24,1,10,1,12,2,10,1,17,56,16,1,17,2,10,1,17,9,16,1,17,7,11,1,17,1,9,1,11,3,12,1,11,1,17,3,12,1,10,1,17,1,28,7,6,1,8,1,13,1,9,1,12,1,10,1,12,1,17,4,11,1,12,1,17,2,12,1,11,1,17,1,8,1,28,8,29,2,28,1,30,1,28,2,7,1,30,1,28,1,6,1,28,6,30,1,29,1,8,1,9,1,10,1,12,1,17,9,16,1,17,3,16,1,17,1,16,1,17,1,16,1,17,1,16,4,17,5,9,1,30,2,28,29,29,1,27,1,29,1,26,1,27,1,25,1,30,1,24,1,26,1,25,1,26,1,30,3,28,11,29,2,27,1,26,3,8,1,10,1,24,2,12,2,17,1,12,1,10,1,17,1,24,1,10,1,12,3,17,1,12,1,17,1,12,2,17,2,12,3,17,4,11,2,17,1,11,3,17,5,11,1,17,2,12,1,11,2,17,2,11,2,17,5,12,1,17,1,11,4,17,1,10,1,11,1,10,2,12,1,11,1,17,6,11,1,17,2,11,1,17,1,11,1,17,3,11,1,12,1,17,1,12,1,17,3,12,1,17,5,12,1,17,8,11,1,17,5,12,1,17,12,11,1,17,1,10,1,12,1,11,3,9,1,10,1,12,1,10,1,12,1,11,1,10,2,11,3,10,1,9,1,10,1,9,1,11,1,9,1,12,1,11,2,12,1,10,1,12,1,11,2,17,1,11,3,17,1,11,1,17,6,11,1,17,8,11,1,12,2,17,2,11,1,17,4,11,1,12,1,17,1,12,1,11,1,17,1,11,1,12,1,11,2,17,1,12,1,17,2,11,1,12,1,17,1,12,1,17,5,12,1,17,8,12,1,17,6,12,1,17,1,12,1,17,1,11,2,17,1,12,1,11,2,12,1,17,7,12,1,17,1,12,1,17,10,12,1,17,1,11,1,12,1,17,2,30,1,28,2,30,1,28,1,6,1,28,5,30,1,28,2,8,1,14,1,16,1,17,3,16,1,17,1,16,1,17,1,12,1,8,1,9,1,8,1,9,1,13,1,8,1,17,2,16,1,8,1,28,5,13,1,17,1,13,1,6,2,29,1,7,1,13,1,6,1,28,22,}, {7,1,28,13,29,1,28,4,30,1,28,5,30,1,28,2,30,1,28,1,29,1,13,1,7,1,13,1,8,1,9,1,16,1,17,2,13,1,6,2,7,1,6,3,17,3,9,1,16,1,10,1,8,2,10,1,8,1,7,1,29,1,7,1,9,1,12,1,8,1,13,1,6,1,13,1,6,1,7,1,13,1,24,1,9,1,8,1,13,1,6,2,28,1,6,3,24,1,12,1,17,2,10,1,24,1,9,1,11,1,10,1,13,1,30,1,28,19,30,1,28,5,6,1,13,1,8,1,9,1,10,1,17,1,12,1,9,1,13,1,6,1,8,1,7,1,6,2,24,1,9,3,15,1,24,1,8,1,6,1,7,1,6,1,13,1,30,1,6,1,30,1,8,1,13,1,8,2,9,1,14,1,6,1,28,11,13,1,28,1,5,1,33,190,13,1,33,1,5,2,33,3,5,4,13,1,9,2,13,1,11,1,17,2,16,2,12,1,17,1,12,1,17,3,11,1,17,2,12,1,17,1,12,1,17,2,9,1,17,1,9,1,12,2,17,1,24,1,12,1,24,1,10,1,12,1,9,1,24,1,12,1,17,2,12,1,17,9,16,1,17,6,12,1,17,2,12,2,17,7,16,1,12,3,17,1,12,2,17,6,10,1,17,1,16,1,9,1,33,2,5,1,33,66,5,706,6,1,28,3,9,2,29,1,13,2,6,1,8,1,9,2,24,1,11,1,9,1,12,1,8,2,10,1,8,1,24,1,13,1,10,1,8,1,24,1,12,2,24,2,9,1,8,4,6,2,29,1,6,1,30,1,7,1,6,2,30,1,7,1,28,1,30,1,6,1,13,1,24,1,8,1,9,2,10,1,9,1,17,6,12,1,17,12,9,1,28,86,30,1,28,7,30,1,28,16,7,1,6,1,7,1,8,1,9,1,13,1,9,2,8,2,13,1,28,13,30,2,28,265,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,6,30,3,29,1,28,2,7,2,8,1,9,1,11,1,10,1,17,1,11,1,9,1,10,1,13,1,9,1,8,2,9,2,8,3,13,1,8,2,9,1,8,1,9,1,13,1,7,1,8,1,13,2,10,1,8,2,13,2,24,1,13,2,8,2,9,1,13,3,28,1,30,1,28,15,8,1,17,1,12,1,10,1,24,1,8,1,24,2,8,1,9,2,8,1,9,1,8,1,9,1,13,1,12,1,9,1,17,3,12,1,17,1,12,1,17,1,12,1,17,2,10,1,17,3,9,1,24,1,10,1,12,2,24,1,12,2,11,1,10,2,12,2,17,26,16,3,17,2,16,5,17,25,16,1,17,8,12,1,17,11,10,1,9,1,17,6,11,1,17,1,28,5,30,2,6,1,8,2,24,1,12,1,11,1,12,1,17,12,28,15,30,1,29,1,30,1,28,9,30,1,28,1,13,1,10,2,17,9,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,11,1,17,3,16,1,17,4,8,1,6,1,30,4,28,28,30,1,26,1,29,1,25,1,27,1,25,1,29,2,26,2,30,2,28,10,29,1,28,1,27,2,25,3,24,3,12,1,17,4,12,1,17,1,10,1,12,1,9,1,10,1,12,2,10,1,12,2,24,1,9,1,17,2,9,1,17,1,11,2,17,2,12,1,17,2,16,2,17,7,12,2,11,1,12,2,10,1,12,2,11,1,12,1,17,6,11,1,12,1,9,2,17,1,11,1,10,3,12,1,11,1,12,2,17,2,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,5,12,1,17,1,11,1,17,3,11,1,17,3,11,1,17,15,12,1,17,2,11,1,17,2,11,1,17,5,11,1,12,1,11,1,9,1,10,1,9,1,12,1,9,1,10,1,9,1,12,1,11,2,10,1,11,1,10,1,9,2,11,1,24,1,11,1,9,1,11,2,12,1,9,1,12,1,10,1,11,3,17,2,11,1,17,2,11,2,17,1,11,3,17,1,11,2,17,3,11,1,17,3,11,1,17,1,12,1,17,1,12,2,17,2,12,1,17,1,10,1,17,2,12,1,17,1,12,1,11,1,17,4,11,2,17,6,12,1,17,16,12,1,17,3,12,1,17,1,11,1,17,1,11,1,12,1,17,2,10,1,11,2,17,10,12,1,17,14,10,1,29,1,28,1,30,1,6,1,28,8,30,2,9,1,14,1,16,2,12,1,17,4,9,1,16,1,8,1,24,1,8,1,13,3,10,1,17,2,8,1,28,5,13,1,17,1,8,1,6,1,30,2,13,1,6,1,28,23,}, {28,8,6,1,29,1,28,1,30,1,6,1,28,5,29,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,6,1,8,1,24,1,9,3,11,1,12,1,14,1,9,1,6,1,7,1,6,1,13,1,28,1,7,1,17,2,12,1,11,2,9,2,24,1,9,1,13,1,6,1,7,2,24,1,17,1,8,2,6,1,8,1,7,1,6,1,13,1,8,1,9,1,8,1,13,2,24,1,6,1,7,2,13,1,24,1,12,1,17,3,9,2,16,1,15,1,7,1,28,26,6,1,7,1,13,1,8,1,9,1,12,1,17,1,11,1,7,1,28,1,6,2,28,1,6,1,8,1,10,2,13,1,8,2,13,1,8,1,6,1,28,1,8,1,29,1,7,1,30,1,6,1,24,1,10,1,13,1,7,1,15,1,13,1,28,11,9,1,28,1,5,1,33,185,5,2,33,1,30,1,13,1,11,1,16,2,5,6,16,2,17,1,16,1,17,21,10,3,17,1,10,2,8,1,13,1,11,1,8,1,10,1,8,1,9,2,12,1,11,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,22,16,1,8,1,17,1,8,1,12,1,10,1,12,2,17,6,9,2,11,1,9,1,13,1,5,1,33,68,5,703,13,1,28,3,6,1,13,5,7,1,13,2,24,1,9,1,10,3,9,1,10,1,24,1,8,2,24,1,9,1,10,3,12,1,10,1,9,1,10,1,24,1,8,1,24,1,7,2,6,3,29,1,7,1,6,4,7,1,30,1,6,2,9,1,24,2,10,1,12,1,11,1,17,3,12,1,17,1,12,1,17,11,11,1,28,81,30,2,28,1,30,1,28,2,30,2,28,8,30,1,28,2,30,1,28,13,29,1,13,2,8,2,9,5,13,1,29,1,30,1,28,6,30,3,28,1,30,1,13,1,28,229,30,1,28,30,6,3,28,2,30,1,28,1,6,1,28,1,6,2,30,1,6,1,30,2,28,1,30,1,28,5,30,2,6,1,30,3,29,1,30,1,6,1,13,2,10,2,12,1,17,2,12,1,11,1,9,1,11,1,8,2,9,1,8,2,9,3,8,1,10,1,8,1,10,1,9,1,10,1,9,2,8,1,9,1,8,1,13,2,7,1,24,1,13,2,24,1,13,1,9,1,13,1,8,1,9,1,13,1,6,1,28,1,29,1,28,16,6,1,10,1,24,1,10,1,9,1,8,1,9,3,10,1,8,1,7,1,9,1,8,1,9,1,12,1,17,3,12,2,17,2,12,1,11,1,13,1,10,1,12,1,17,1,9,2,10,1,9,1,10,2,9,1,10,2,24,1,17,1,24,1,11,1,17,3,16,1,17,25,16,2,17,1,16,2,17,1,11,1,17,27,10,1,17,5,16,1,17,12,12,2,9,1,11,1,9,1,17,4,11,1,12,1,28,7,30,1,8,3,24,1,11,1,12,1,11,1,17,10,12,1,10,1,29,1,28,12,7,1,6,1,7,1,28,12,29,1,30,1,7,1,6,1,9,1,17,9,16,1,11,1,16,1,17,1,16,1,17,1,16,3,17,1,16,1,11,1,17,3,8,1,6,1,28,30,30,1,29,1,27,4,25,2,27,1,25,1,27,1,29,2,30,1,28,2,30,1,28,6,30,1,28,2,25,1,8,1,25,1,24,3,10,1,17,2,12,1,17,3,12,1,17,2,10,2,24,1,10,1,12,1,9,1,12,3,24,1,17,2,9,1,17,1,12,1,17,1,10,1,12,2,17,1,9,1,16,3,11,1,17,6,12,3,11,1,9,1,12,1,11,1,12,1,17,6,12,1,10,1,11,2,12,1,10,1,11,1,10,1,9,1,10,2,12,1,11,1,12,1,17,4,12,1,17,4,12,1,11,1,17,7,12,1,11,1,17,1,12,1,17,2,11,1,17,4,10,1,17,1,11,1,17,1,11,2,17,7,12,1,17,5,12,1,17,4,11,1,12,1,11,2,9,1,10,1,12,1,10,1,9,3,8,1,9,2,10,1,11,1,9,2,8,1,9,1,10,1,9,2,12,1,10,2,9,1,11,2,10,1,11,1,17,1,12,1,11,1,17,2,10,1,17,2,11,1,17,3,11,1,17,1,12,1,17,2,11,1,17,2,12,1,17,2,12,2,17,8,11,2,17,4,10,1,17,4,12,3,17,4,12,1,17,10,12,1,17,4,11,1,17,7,12,1,17,2,12,2,10,1,12,1,17,9,12,1,17,2,12,1,17,10,11,1,17,2,11,1,28,3,6,1,28,1,30,1,28,4,29,1,28,2,29,1,16,1,17,1,9,1,17,1,12,1,17,3,10,1,12,1,10,1,8,2,10,1,24,1,8,1,10,1,9,1,17,2,10,1,28,5,9,1,12,1,13,1,6,1,7,1,6,1,7,1,6,1,30,1,28,22,}, {28,4,30,1,28,9,29,3,28,1,30,2,28,8,30,1,29,1,6,1,7,1,9,1,10,2,11,1,17,2,14,1,24,1,13,2,6,1,29,1,6,1,13,1,16,1,17,2,12,1,16,1,12,1,9,1,13,1,9,1,13,2,7,1,13,2,17,1,12,1,13,1,7,1,13,1,29,1,13,2,9,1,12,1,13,1,8,1,7,1,13,1,8,1,7,1,6,2,24,1,12,1,17,3,10,1,24,1,16,1,11,1,13,1,28,5,30,1,28,10,30,1,28,4,30,1,28,4,6,1,9,1,8,1,10,1,9,1,11,1,16,1,8,1,13,1,6,3,13,1,30,1,8,1,12,1,24,1,12,2,8,2,7,1,6,2,30,1,29,1,6,3,8,3,15,1,12,1,6,1,30,1,28,10,6,1,28,1,5,1,33,187,13,1,9,1,11,2,9,1,16,2,11,1,16,2,9,1,11,1,17,23,10,1,17,1,10,1,17,2,9,3,12,2,9,1,8,3,24,1,13,1,9,1,17,1,12,1,17,1,12,1,17,1,12,1,17,18,11,1,17,6,12,1,17,1,12,2,17,1,11,1,10,2,12,1,17,5,16,1,12,1,16,1,11,1,9,1,5,2,33,68,5,701,28,4,30,1,8,1,6,1,9,1,13,1,8,1,13,1,24,1,13,1,10,1,8,1,11,1,8,2,24,1,9,2,11,1,13,1,24,1,9,1,12,1,24,1,10,1,12,1,10,1,8,1,10,1,13,2,7,1,6,1,13,1,6,1,28,1,7,1,13,1,29,1,30,1,7,1,6,1,30,1,7,1,29,1,8,3,7,1,10,2,17,18,28,1,30,1,28,79,30,1,28,1,30,2,28,2,30,4,28,1,30,2,28,6,30,1,6,1,30,1,28,12,30,1,6,1,29,1,13,1,8,1,9,2,8,1,13,1,9,1,8,1,9,2,13,2,30,1,6,1,28,2,30,1,28,1,30,7,28,199,30,1,28,27,30,1,28,27,29,1,30,1,29,1,13,2,30,1,6,1,30,1,6,1,30,1,6,2,28,1,29,1,6,1,30,1,6,1,30,1,28,2,30,2,28,1,30,1,28,1,29,1,30,1,6,1,30,1,13,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,13,2,9,1,8,1,13,1,10,1,8,1,11,1,10,1,11,1,9,2,24,2,13,1,10,1,8,2,10,1,9,2,8,1,10,1,9,3,10,1,13,1,11,1,8,2,9,1,8,1,13,1,8,1,10,1,13,1,24,1,9,2,7,2,6,1,30,1,28,1,7,1,28,15,7,1,9,1,12,1,10,1,13,1,9,1,7,1,9,2,24,1,8,1,12,1,17,3,12,3,17,1,10,1,12,3,17,2,9,1,12,1,9,1,17,1,11,1,8,1,12,2,9,1,10,1,17,1,10,1,9,1,17,3,12,1,17,21,16,1,17,2,16,1,17,3,16,1,17,1,16,2,17,1,16,3,11,1,17,31,12,1,17,7,12,1,17,6,11,1,17,6,12,1,13,1,28,6,6,1,8,1,6,2,9,1,12,1,11,2,17,9,11,1,12,1,9,1,11,1,6,1,28,10,30,1,28,3,29,1,28,14,30,1,29,1,8,2,17,8,16,3,17,2,16,1,17,1,11,1,17,1,11,2,17,3,13,1,30,3,28,29,27,1,29,1,25,2,27,1,29,1,26,1,27,1,25,1,8,1,27,1,26,1,30,1,28,12,29,1,24,1,27,1,24,1,8,1,17,2,12,1,17,7,10,1,12,3,17,1,12,1,10,1,17,3,12,2,17,1,9,1,11,1,17,1,10,1,12,2,10,1,16,1,11,1,16,1,11,1,16,2,17,4,12,1,17,1,12,1,17,1,12,1,10,1,11,3,17,6,12,1,9,3,11,1,12,1,9,1,11,1,10,1,8,1,9,2,11,2,17,1,12,1,17,2,11,1,12,1,17,1,11,1,12,1,17,2,11,1,10,1,17,1,12,1,17,2,12,1,17,1,11,1,17,2,11,1,17,4,11,1,17,7,11,1,17,9,12,1,17,1,12,1,11,1,12,1,10,1,17,1,11,2,12,1,11,1,12,1,9,1,11,1,9,2,13,1,8,1,10,1,9,1,10,1,17,1,9,1,11,1,9,1,11,1,9,1,10,1,8,1,17,1,9,1,12,1,9,1,12,2,11,1,17,1,11,1,17,1,11,1,12,1,17,1,10,1,12,1,17,1,12,1,11,2,17,1,12,1,17,2,11,2,17,3,11,1,17,11,11,1,12,1,17,4,12,1,11,2,17,1,11,1,12,1,10,1,12,1,10,1,17,1,12,2,17,4,12,1,17,8,12,1,17,17,12,2,17,1,12,1,17,14,12,1,17,11,8,1,28,4,30,1,28,9,14,1,17,7,16,1,8,1,13,1,9,1,8,1,9,1,8,2,11,1,17,2,12,1,13,1,28,5,10,1,9,1,30,1,6,1,7,3,30,1,28,23,}, {6,1,28,5,30,1,28,1,30,1,28,3,30,1,7,1,28,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,2,7,2,24,2,9,3,10,1,17,2,8,1,6,1,13,2,6,2,8,1,17,4,9,1,16,1,8,1,24,1,9,1,8,1,7,1,6,1,13,1,7,1,17,1,10,1,9,1,7,1,6,1,28,1,6,2,12,1,9,1,11,1,13,1,8,1,13,1,6,2,30,2,9,1,12,1,17,3,9,1,10,1,9,2,6,1,30,1,28,5,30,1,28,10,30,1,28,7,6,2,7,1,24,1,11,1,9,1,16,1,17,1,12,1,8,1,30,1,29,1,6,2,29,1,24,2,15,2,8,2,6,1,24,1,6,2,7,1,6,4,7,2,13,1,24,1,9,1,13,1,28,11,6,1,28,1,33,184,5,1,33,1,13,1,11,2,17,1,11,1,9,1,17,1,9,2,11,1,9,1,16,1,17,18,16,1,17,4,12,1,17,1,15,1,17,2,12,3,9,1,8,1,7,1,30,1,13,1,8,1,13,1,9,1,7,1,8,1,9,1,12,1,9,1,17,2,11,1,17,3,12,1,17,3,12,3,17,6,12,1,17,2,12,2,17,3,12,1,17,9,12,1,17,1,12,1,17,5,11,1,16,1,11,2,5,1,33,70,5,698,13,1,28,2,30,1,28,1,6,1,13,1,30,1,9,1,6,1,13,1,8,2,10,2,9,3,8,1,12,1,13,1,24,2,10,1,8,1,24,1,12,1,24,1,12,1,8,1,12,1,8,2,7,1,9,1,13,2,7,1,6,2,13,1,30,1,29,1,7,1,6,2,13,1,30,1,13,1,8,2,24,1,13,1,10,2,12,1,17,5,12,1,17,9,12,1,28,79,29,1,30,1,29,1,28,1,6,1,29,1,30,1,29,1,30,1,29,1,6,1,28,1,30,1,29,1,6,1,29,1,6,1,28,22,30,1,7,2,13,1,8,1,9,8,13,1,7,1,6,2,30,1,28,3,30,1,6,1,29,1,6,2,28,196,30,1,28,5,30,1,28,22,30,1,7,1,29,1,28,2,30,1,28,8,30,1,28,5,29,1,28,6,6,1,30,1,29,1,13,1,7,1,29,1,28,1,13,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,7,1,6,1,30,3,6,1,30,1,29,1,7,1,6,4,28,1,6,2,30,3,29,1,7,1,30,1,29,1,13,1,6,1,30,2,13,1,30,1,8,2,9,1,8,1,9,1,11,1,9,1,11,1,9,3,11,1,8,1,9,4,13,1,8,1,9,1,8,1,9,1,13,1,8,2,11,1,13,3,8,1,24,1,9,1,13,1,8,1,13,2,6,1,7,1,29,1,6,2,28,1,30,1,28,13,29,1,9,1,10,1,9,2,8,1,9,2,17,5,12,2,10,1,12,1,17,1,10,1,12,2,24,1,12,2,10,1,9,1,11,2,17,1,11,1,12,1,17,1,10,1,9,1,17,1,12,2,17,1,12,1,17,12,16,1,17,8,16,1,17,5,16,1,17,1,16,1,17,3,16,6,17,41,11,2,17,4,10,1,17,4,12,1,8,1,28,5,30,2,13,2,29,1,13,1,12,1,9,1,16,2,17,2,16,1,17,1,16,1,17,3,11,1,17,1,11,1,10,1,11,1,28,12,30,1,28,17,29,1,28,1,6,1,13,1,24,1,17,5,16,1,17,2,16,1,17,2,11,1,17,1,16,1,11,1,16,2,17,2,12,1,29,1,6,1,30,1,28,1,30,1,28,3,30,1,28,22,30,4,29,1,26,1,25,2,27,1,25,4,27,1,28,12,30,1,25,1,8,1,24,1,12,2,17,8,10,1,12,2,17,2,10,1,9,1,12,3,17,1,10,2,9,1,17,1,10,1,17,2,9,1,17,1,10,1,11,1,9,1,11,2,16,1,17,6,11,3,12,1,11,1,10,1,17,1,11,1,17,4,12,1,17,2,12,1,9,1,10,1,12,1,10,1,9,1,11,1,9,1,11,2,9,1,12,1,11,1,17,2,11,1,17,7,12,1,11,3,17,1,11,1,12,1,17,1,11,1,17,1,11,1,17,3,11,1,17,8,11,1,17,2,12,2,17,3,11,1,17,9,12,1,17,1,11,1,10,1,9,1,11,1,9,2,8,1,10,1,9,1,10,1,9,2,10,2,8,1,10,1,12,1,8,1,10,1,9,1,8,1,12,1,11,1,10,1,11,1,9,1,10,1,12,1,11,2,17,1,12,4,17,1,11,1,17,1,11,1,12,1,11,1,10,1,17,1,12,1,9,1,17,8,11,1,17,2,12,1,17,7,12,1,17,1,11,1,12,1,17,1,11,2,17,3,12,1,11,1,12,1,17,1,12,1,17,2,11,1,17,11,12,1,17,4,11,1,17,3,12,1,17,1,12,1,17,3,11,2,9,1,17,1,10,1,11,1,17,9,12,1,17,12,11,1,17,3,10,1,9,1,28,2,29,1,6,2,28,5,30,1,28,2,6,1,17,8,9,2,8,1,11,1,24,1,9,1,13,1,24,1,9,1,17,1,11,1,10,1,9,1,28,5,8,1,16,1,8,1,6,2,30,3,28,1,30,1,28,21,}, {13,1,30,1,28,4,30,1,28,1,30,2,28,2,29,1,28,2,6,1,28,1,30,2,28,5,7,1,28,1,6,1,30,1,13,1,30,1,13,1,24,1,11,1,17,1,10,1,12,1,11,1,17,2,16,1,12,1,8,1,6,1,29,1,6,1,7,1,17,5,9,2,13,1,9,1,13,1,30,1,6,1,13,1,8,1,17,1,16,1,9,1,6,1,29,1,30,1,6,2,9,1,17,1,16,1,11,1,6,1,13,1,29,1,13,1,6,2,9,1,17,4,24,1,9,1,24,1,17,1,6,1,28,22,6,1,28,2,29,2,8,1,9,2,11,1,17,2,11,1,7,1,13,1,6,2,30,1,6,1,8,1,9,1,12,2,8,1,9,1,13,1,6,2,8,1,6,1,13,1,29,1,7,1,30,1,13,2,8,1,9,1,11,1,24,1,30,1,28,10,13,2,5,1,33,184,13,1,9,2,16,3,11,1,16,1,10,2,11,1,17,20,12,1,17,3,12,1,17,2,12,2,11,2,8,2,13,1,8,2,24,2,7,2,13,1,6,1,10,1,8,1,9,1,10,1,11,1,17,8,12,3,17,1,12,1,9,1,17,2,12,1,9,1,10,1,9,1,10,1,12,1,17,9,12,1,17,8,12,1,17,3,11,2,16,2,11,1,13,1,33,1,5,1,33,69,5,696,6,1,30,1,28,1,30,1,28,1,8,1,30,1,7,1,6,1,7,1,13,1,8,2,10,1,13,1,11,1,8,1,12,1,10,2,8,1,24,1,9,1,24,2,10,1,12,1,9,1,10,1,24,1,10,1,8,1,10,1,13,1,24,1,8,1,13,2,7,1,29,3,7,1,28,1,6,3,7,1,13,1,24,2,8,1,24,1,10,1,12,1,17,6,12,3,17,1,12,1,17,4,6,1,28,72,30,1,28,4,29,1,28,4,6,1,30,1,6,1,29,1,8,1,28,1,7,2,30,1,13,1,30,1,6,1,13,1,30,1,7,1,28,9,30,2,28,11,30,2,13,1,8,1,13,1,10,1,8,1,13,1,9,4,8,1,9,1,8,1,13,3,6,1,13,1,7,2,13,1,8,1,13,2,30,1,28,5,30,1,28,198,30,1,28,1,30,1,28,2,6,1,28,5,30,1,13,2,29,1,30,1,28,1,13,1,30,2,13,2,29,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,3,28,2,6,1,30,1,6,1,30,1,28,2,30,2,13,1,7,1,29,1,13,1,7,3,6,1,13,1,6,2,30,1,6,1,29,1,6,1,30,1,6,2,29,1,30,4,6,1,29,1,6,1,13,1,29,1,6,1,30,1,6,3,7,1,30,1,29,1,6,1,30,1,6,1,30,1,10,1,7,1,6,1,28,1,30,1,6,1,7,1,30,1,13,2,11,1,9,1,10,4,9,1,11,1,9,1,10,1,9,1,12,1,8,1,9,1,10,1,9,1,8,1,9,1,8,1,9,2,10,1,13,1,10,1,13,1,9,1,8,1,24,1,7,1,13,1,8,3,13,2,7,1,13,1,6,1,28,1,6,1,30,1,28,1,30,2,28,10,13,1,9,2,17,2,11,1,17,5,12,1,11,1,17,1,10,2,11,1,12,2,10,1,12,1,11,1,9,1,12,1,17,1,12,3,17,1,9,1,17,6,16,1,10,1,16,1,17,14,16,1,17,3,16,1,17,7,16,1,17,2,16,4,17,2,16,3,17,26,12,1,17,17,11,1,17,7,24,1,28,5,30,1,7,1,6,1,29,2,13,1,8,1,17,1,12,1,17,3,16,1,17,2,16,1,17,5,11,1,12,1,28,8,30,3,28,1,30,1,28,17,30,1,28,1,30,1,29,1,6,1,11,1,17,6,16,1,17,2,16,2,17,1,16,2,17,1,16,1,17,2,10,1,7,1,29,1,28,3,30,2,28,24,27,2,29,1,25,1,27,1,26,1,27,1,8,1,26,1,25,4,27,1,30,1,28,11,26,1,25,1,26,1,12,1,10,1,17,1,12,1,17,2,12,1,17,4,10,1,9,1,12,1,24,1,17,2,12,1,17,2,12,1,17,1,12,2,17,1,12,1,9,2,11,2,17,1,11,2,16,2,17,2,11,1,17,2,11,2,10,1,17,1,12,1,9,1,11,1,9,1,11,2,12,1,17,5,12,2,11,1,9,1,10,4,11,1,10,1,12,1,10,2,11,1,10,1,17,1,12,1,17,2,12,1,17,4,11,1,17,4,12,1,17,3,12,2,17,2,12,1,11,1,17,1,12,1,17,3,12,1,17,5,11,1,17,2,12,1,17,6,11,1,17,1,11,1,17,1,12,1,11,1,17,1,11,1,12,1,10,1,11,1,10,2,8,1,9,2,8,1,9,1,10,1,24,1,9,2,8,1,9,1,10,1,9,1,10,1,24,1,9,2,11,2,10,1,11,3,17,1,10,1,11,1,10,1,17,1,10,1,12,1,17,1,11,1,17,1,11,1,17,1,11,1,10,1,12,1,17,1,11,1,17,3,11,1,12,1,17,2,11,1,12,1,11,1,17,2,11,1,12,1,11,1,17,1,12,2,17,4,12,2,17,1,12,2,17,1,11,1,17,1,12,1,17,1,11,1,12,1,17,10,12,1,17,2,11,1,17,1,11,2,12,1,17,4,12,1,17,1,10,1,17,1,11,2,12,1,11,2,12,2,10,1,12,1,17,12,12,1,17,9,12,1,17,4,9,1,30,1,28,3,30,1,29,1,28,6,30,1,6,1,17,3,16,1,12,1,11,1,12,1,9,1,10,1,9,1,8,2,24,1,8,3,10,1,17,2,8,1,6,1,28,5,9,1,12,1,13,1,6,1,29,2,28,1,29,2,28,22,}, {13,1,28,5,13,1,30,1,28,1,29,1,28,1,30,1,28,2,30,1,29,1,28,1,30,2,29,1,30,1,6,1,28,1,30,3,28,1,30,1,6,1,29,1,13,1,9,1,10,1,11,1,17,1,12,1,9,1,17,2,9,1,13,2,6,1,7,1,6,2,12,1,17,3,14,1,9,2,8,1,13,1,8,1,13,3,6,1,17,2,8,1,29,1,6,1,28,1,30,1,8,1,10,1,17,2,11,1,9,1,6,1,13,1,8,1,13,1,24,2,9,1,17,3,10,1,8,2,17,1,13,1,28,10,30,1,28,10,29,1,28,1,6,1,28,3,13,1,8,1,9,1,11,2,17,1,10,1,13,1,29,1,28,1,30,1,6,2,24,2,10,1,15,2,9,1,8,1,13,2,8,1,29,3,6,1,13,2,6,1,24,1,15,1,10,1,7,1,28,6,30,1,28,4,13,1,9,1,33,183,5,2,11,1,16,1,11,1,9,1,11,1,16,2,9,1,16,1,9,1,16,1,17,21,16,1,12,1,17,3,12,2,9,1,10,2,8,1,13,2,9,1,13,1,8,2,13,2,9,1,13,1,10,1,9,1,12,2,17,10,12,2,11,1,12,1,11,1,12,2,9,3,24,1,9,3,17,19,12,1,17,4,11,2,16,1,9,1,33,72,5,693,6,1,30,2,28,3,12,1,30,1,24,1,7,1,24,1,8,2,13,1,12,1,9,1,11,1,13,1,12,1,24,1,11,1,24,1,9,1,8,2,12,1,8,1,24,1,17,1,9,1,12,1,10,3,8,2,13,1,7,2,6,1,30,1,29,1,6,2,29,1,7,1,6,1,7,2,8,1,10,1,13,2,9,1,11,1,10,1,17,3,11,1,17,1,12,1,17,6,9,1,13,1,28,71,30,1,28,2,30,1,28,2,30,1,29,1,28,1,30,1,29,1,28,1,30,1,6,2,29,1,13,1,28,1,13,1,24,1,6,1,7,1,13,4,9,2,10,1,13,1,28,22,30,1,6,2,13,1,9,2,13,2,8,4,9,1,8,1,9,2,8,1,13,1,8,2,13,1,6,1,13,4,28,199,30,1,28,1,30,1,6,1,29,1,30,1,29,1,28,1,30,2,28,1,29,1,30,4,28,2,30,2,6,1,7,1,8,1,6,1,11,1,7,1,28,1,8,1,30,2,13,1,28,1,6,1,7,1,6,1,30,1,7,1,6,1,13,1,6,1,30,1,6,3,30,1,7,1,30,3,28,1,6,2,13,2,29,1,8,2,13,3,6,1,7,1,29,1,7,1,29,2,6,3,29,1,30,2,6,2,30,2,29,1,7,2,6,1,13,2,30,1,13,1,7,1,6,3,7,1,6,2,29,1,13,1,30,1,7,1,30,2,29,1,28,1,29,1,30,1,28,2,13,1,17,1,12,1,9,1,10,1,11,1,10,1,11,1,9,4,11,1,8,1,9,1,8,1,11,1,9,1,10,1,24,1,9,3,24,2,8,1,9,2,24,1,13,1,8,1,13,1,9,1,7,1,13,2,7,2,29,1,28,1,30,1,6,1,30,2,28,11,6,1,9,1,17,5,12,2,17,2,12,1,9,1,17,1,9,1,17,1,12,1,9,1,12,1,10,1,9,1,12,1,9,2,8,1,11,1,16,1,17,1,11,1,17,11,16,1,17,10,16,1,17,1,16,2,17,1,16,1,17,7,16,2,17,1,16,1,17,1,16,2,17,4,16,2,17,27,12,1,17,1,12,1,17,3,16,1,17,8,10,1,17,8,28,6,7,1,6,1,30,2,6,1,8,1,11,1,17,5,16,1,17,1,11,1,17,7,9,1,30,1,28,8,30,2,28,20,29,1,6,2,29,1,6,1,17,8,16,6,17,3,9,1,7,1,29,1,28,4,30,1,28,22,30,1,27,1,30,1,29,1,27,2,26,1,25,3,8,1,25,3,26,1,30,1,28,11,29,1,27,1,24,1,12,1,24,1,17,3,12,1,17,5,9,1,12,1,11,1,12,2,24,1,10,1,17,1,12,3,17,1,10,1,12,1,17,1,9,1,10,1,9,1,17,1,16,1,9,2,17,1,11,3,12,1,17,1,10,1,17,2,12,1,11,1,12,1,17,2,11,1,10,1,17,7,11,1,12,1,17,1,9,2,12,1,9,2,12,1,10,1,12,1,11,1,10,2,17,1,11,1,17,1,11,1,17,2,11,1,17,1,11,2,17,3,12,1,17,1,12,1,17,3,12,1,17,1,11,1,12,2,17,1,11,1,17,2,12,1,17,4,11,1,17,8,12,1,17,1,12,1,17,5,12,2,11,1,12,2,11,1,10,1,9,1,17,1,8,1,10,2,9,1,10,2,8,1,9,1,10,1,8,1,9,1,8,1,11,1,8,1,10,1,24,1,17,1,9,1,10,2,17,1,10,1,11,1,12,1,17,1,11,4,10,1,12,1,17,5,9,1,17,1,10,1,17,1,12,1,17,2,9,1,12,1,17,4,12,1,17,1,12,2,11,1,17,3,11,1,12,1,17,2,11,3,17,2,11,1,17,1,12,1,17,1,11,1,17,2,9,1,17,14,12,1,17,2,12,1,17,1,12,1,17,5,12,1,17,1,12,2,10,1,11,2,10,1,11,3,17,7,12,1,17,1,12,1,17,1,10,1,17,14,12,1,13,1,28,2,30,1,29,1,28,6,30,1,28,3,17,6,10,1,9,2,13,1,24,1,13,1,8,1,13,1,24,1,9,1,24,1,10,1,17,1,11,1,6,1,28,5,9,2,6,1,28,1,6,1,30,1,6,3,28,22,}, {13,1,28,5,13,1,30,1,28,3,6,1,28,1,30,2,28,3,30,2,6,2,28,2,29,1,28,2,6,1,28,1,29,1,6,1,8,1,12,1,9,3,11,1,17,2,9,1,6,1,7,2,13,1,6,1,30,1,12,1,17,2,16,1,9,3,24,1,13,2,6,2,7,1,13,1,12,1,16,1,13,2,29,1,6,3,9,1,10,1,9,2,13,1,7,2,13,2,9,1,8,1,17,3,10,1,24,1,8,1,24,1,9,1,8,1,29,1,28,25,30,1,28,1,8,1,10,1,11,2,17,2,29,1,28,1,6,1,29,1,6,1,29,1,13,1,17,1,12,1,24,1,8,1,24,1,8,2,13,1,6,2,13,1,28,1,29,1,6,1,13,1,7,1,13,1,8,1,9,1,8,1,30,1,28,10,13,2,33,183,5,1,16,1,11,1,13,1,9,1,10,1,16,1,17,2,11,1,17,1,11,1,17,23,12,2,17,1,9,2,11,1,10,1,8,1,13,1,8,3,13,2,24,1,8,1,24,1,9,2,17,2,12,2,17,1,12,2,17,9,11,1,17,7,9,1,13,1,24,2,8,2,9,1,17,1,11,1,17,7,12,1,17,8,12,1,17,1,12,1,17,4,16,1,5,1,33,1,5,1,33,70,5,692,28,1,13,1,30,1,28,3,7,1,30,1,8,1,24,2,8,1,9,1,8,1,9,1,8,1,10,1,8,1,10,2,24,1,10,1,8,2,10,1,12,1,17,1,12,3,17,1,11,1,24,1,8,1,13,1,24,1,8,1,30,1,7,1,6,1,29,1,30,1,29,1,30,1,6,1,13,1,6,1,13,1,8,2,24,1,7,1,8,1,10,1,12,3,17,4,11,1,17,2,12,2,11,1,9,1,6,1,28,77,30,1,28,1,30,1,6,2,28,1,30,1,7,1,6,1,29,1,7,2,6,1,13,1,8,2,13,1,8,3,9,4,10,1,9,1,6,1,28,5,6,1,28,4,30,1,28,10,13,1,7,1,13,1,8,2,9,2,8,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,8,1,13,7,9,1,28,194,30,5,28,1,6,2,28,1,29,1,28,2,30,1,6,1,7,1,28,1,30,1,7,1,28,1,30,1,6,1,30,1,13,1,30,1,13,1,9,2,30,1,13,1,8,1,6,4,28,1,29,1,28,2,6,1,29,1,13,1,7,1,6,1,7,2,6,1,8,1,6,2,13,1,6,1,30,1,6,2,28,1,7,1,6,1,8,1,13,1,6,1,9,1,13,2,7,1,13,1,7,1,29,1,6,2,28,1,29,1,7,1,30,1,6,1,29,1,7,1,6,3,29,1,6,1,7,1,13,1,29,1,6,1,7,1,13,3,6,1,9,1,7,1,8,1,6,1,7,2,13,3,6,3,30,1,6,1,30,2,28,1,6,1,30,2,13,1,9,1,10,5,9,1,11,1,9,2,10,1,8,1,9,1,11,1,9,1,10,1,9,3,8,1,10,2,13,1,10,1,9,2,8,5,13,7,7,1,6,1,30,1,28,13,6,1,13,1,17,3,12,5,11,1,9,1,11,1,10,2,11,1,12,2,9,1,10,1,12,2,17,2,12,1,17,26,16,2,17,1,16,1,17,4,16,1,17,4,16,1,17,1,16,1,17,2,16,1,17,2,16,2,17,44,16,1,17,7,7,1,28,3,6,1,7,1,8,1,6,3,7,1,10,1,9,1,12,1,17,2,11,1,17,1,11,1,17,1,16,1,17,2,11,1,17,6,7,1,28,5,6,1,30,2,29,1,28,26,6,1,17,5,16,1,17,2,9,1,11,1,16,1,17,4,12,1,6,1,29,1,30,1,28,2,30,1,28,23,29,1,27,1,29,1,25,1,27,3,24,1,25,2,24,2,25,1,26,1,28,13,25,1,27,1,8,1,24,1,17,2,12,1,17,1,12,1,17,5,10,1,12,1,10,1,12,1,17,1,24,1,17,2,12,4,9,1,17,1,11,1,9,1,17,1,12,1,10,1,11,2,16,1,17,1,9,1,17,1,11,1,17,1,11,1,17,3,12,1,17,1,12,3,11,2,12,1,17,6,12,1,11,1,9,1,11,1,10,3,9,1,10,1,11,2,17,1,12,1,17,1,12,1,17,1,11,2,17,4,11,1,17,1,10,1,17,6,12,2,17,1,12,3,17,2,11,1,17,1,11,2,17,2,11,1,17,9,11,1,17,8,11,1,12,2,10,1,8,1,10,1,9,1,12,1,8,2,10,1,9,1,10,1,11,1,9,1,10,1,9,1,24,1,11,1,10,1,9,2,10,3,11,2,10,1,12,1,17,1,12,1,11,2,17,1,10,1,12,2,10,2,11,2,12,2,17,2,12,1,17,2,12,1,11,1,12,1,17,1,11,1,17,1,11,1,17,4,11,2,17,1,12,1,11,1,17,1,12,1,17,2,11,1,12,2,10,1,17,1,10,1,12,1,17,1,11,2,12,1,17,7,11,1,17,10,11,1,17,1,11,1,17,1,11,1,17,6,10,1,17,1,11,1,12,1,11,1,12,2,11,1,9,1,12,1,10,1,17,8,11,1,17,1,12,1,17,1,12,1,17,3,12,1,17,10,13,1,28,2,30,1,29,1,30,1,28,7,30,1,13,1,17,5,12,2,9,1,8,1,24,1,8,1,7,1,13,2,10,1,8,1,12,1,11,1,12,1,11,1,13,1,28,4,30,1,11,1,9,1,7,1,6,1,7,1,28,1,6,1,30,1,6,1,30,1,28,21,}, {6,1,28,5,6,1,30,1,28,3,6,1,30,1,28,2,30,1,28,1,30,1,28,1,6,1,30,2,28,6,6,1,29,1,6,1,13,1,9,1,12,1,8,1,24,1,9,1,17,2,16,1,10,1,13,1,6,1,13,1,29,1,6,1,12,1,17,2,11,1,9,1,24,1,8,4,6,2,29,1,7,1,12,1,16,1,8,1,6,2,29,2,6,1,12,2,24,1,8,2,30,1,7,1,6,1,7,1,8,1,13,1,15,1,17,3,13,1,8,2,10,1,8,1,7,1,28,18,29,1,30,1,28,6,6,2,24,1,10,1,12,1,17,1,9,1,13,1,7,1,28,1,29,1,30,1,6,1,8,1,10,1,17,1,15,1,9,1,8,3,6,1,7,1,6,1,30,1,6,2,7,1,13,2,8,2,15,1,7,1,28,11,13,1,33,183,5,2,9,1,13,1,8,1,9,1,17,1,9,1,17,28,10,1,17,1,12,1,10,1,11,1,10,1,8,4,13,1,6,1,24,1,13,1,24,1,9,1,17,3,10,1,12,1,10,1,17,1,12,1,17,1,12,1,11,2,12,4,10,1,17,1,12,1,17,7,12,1,11,1,12,1,9,1,24,2,8,1,17,1,10,1,11,1,10,1,9,1,17,1,12,2,17,18,11,2,5,1,33,72,5,691,28,1,11,1,28,3,13,1,8,1,29,1,9,1,13,1,24,1,9,3,24,1,8,2,24,1,9,1,24,1,11,1,8,1,10,1,9,1,24,1,9,1,10,2,17,1,12,1,24,3,6,1,13,2,7,3,29,1,6,1,28,1,6,5,13,1,9,1,8,1,12,1,7,1,24,1,11,1,12,1,17,1,12,1,17,3,12,2,17,4,9,1,30,1,28,68,30,1,28,5,30,2,28,2,29,1,28,1,29,1,6,1,28,1,30,1,6,2,13,1,7,1,13,2,8,1,24,1,8,1,13,1,9,1,13,1,16,1,8,1,11,1,9,2,11,1,9,2,11,1,13,1,28,10,30,1,28,11,30,1,13,2,8,2,13,1,9,2,10,1,9,2,13,2,9,1,13,2,8,2,13,4,8,1,13,1,28,193,30,1,28,5,6,1,30,2,28,1,6,2,7,1,6,1,30,1,6,4,30,1,6,1,29,1,30,1,6,1,13,2,6,1,13,6,6,1,29,1,7,1,6,1,7,1,6,1,13,2,6,1,13,8,29,1,13,2,29,1,6,1,8,1,6,2,13,2,8,1,9,1,13,2,30,1,29,1,13,1,6,4,30,1,13,1,6,1,30,1,28,1,6,2,30,1,13,3,8,1,13,3,9,1,13,1,11,1,9,1,6,1,8,1,10,1,9,2,8,1,10,1,13,3,7,1,6,1,13,1,6,1,30,1,29,1,28,1,6,2,30,1,29,2,13,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,9,3,13,1,8,2,11,1,9,2,13,1,24,1,9,2,13,1,11,1,9,1,8,1,9,1,8,1,13,2,8,1,13,2,29,1,8,1,7,2,13,2,29,1,6,1,30,2,28,11,30,1,12,1,17,1,11,1,9,1,12,1,17,1,9,1,12,2,17,2,9,1,24,1,12,2,11,1,9,1,17,1,9,1,11,1,16,1,17,15,16,1,17,5,16,1,17,18,16,1,17,1,16,2,17,49,12,2,17,2,16,1,17,4,13,1,28,3,29,1,24,1,8,1,13,1,28,1,30,1,13,1,24,1,11,1,17,5,16,1,17,1,16,1,17,1,11,1,16,1,17,6,11,1,8,1,6,1,28,2,29,1,28,1,30,1,29,1,28,1,30,2,28,22,30,2,6,1,8,1,10,1,17,4,16,2,17,1,16,1,17,5,9,1,6,1,29,1,28,26,29,1,30,1,29,1,27,1,25,1,29,1,27,1,25,3,24,1,25,1,8,1,25,1,28,14,8,1,24,1,8,1,12,1,17,13,10,2,24,1,12,2,9,1,17,1,12,1,11,1,17,1,12,1,9,1,11,1,12,1,11,6,17,5,11,2,17,3,11,1,10,1,17,2,12,1,17,5,11,1,17,1,10,1,11,1,10,1,9,1,11,1,10,1,17,1,11,1,10,1,11,1,10,1,11,1,12,1,11,1,17,2,11,1,17,2,11,2,17,7,11,2,17,1,12,2,17,1,11,1,17,1,11,1,17,1,11,1,17,2,11,1,17,2,12,1,11,2,17,10,11,1,17,1,12,2,17,2,12,5,10,1,12,1,13,1,11,1,9,1,11,1,12,1,9,1,10,1,12,1,11,1,10,1,13,1,11,1,9,1,8,1,9,5,10,1,11,1,10,1,12,2,11,1,12,1,17,1,9,1,11,2,12,1,11,1,9,1,17,2,12,1,17,2,11,2,12,1,11,1,17,2,11,1,17,3,11,1,17,3,11,1,12,1,11,1,12,1,11,2,10,1,17,1,12,1,11,2,17,2,11,1,12,1,9,1,12,1,10,1,12,1,10,1,17,3,12,2,17,4,12,1,17,2,12,1,17,5,12,1,9,1,17,1,11,1,17,1,11,1,17,4,11,1,17,1,11,2,12,2,11,2,10,1,17,1,10,1,11,1,17,8,10,1,12,1,17,3,12,1,17,13,11,1,13,1,28,2,30,2,28,1,29,1,28,3,29,1,28,1,6,1,28,1,8,1,17,6,11,2,10,1,13,1,8,2,13,1,7,1,10,1,9,1,11,1,9,1,17,1,11,1,13,1,28,4,30,1,17,1,8,2,7,1,30,2,29,1,6,1,13,1,30,1,28,21,}, {13,1,28,4,29,1,30,1,29,1,28,1,29,1,28,1,6,1,28,1,6,1,28,1,30,1,28,1,6,1,30,1,28,5,29,1,28,1,30,1,28,1,30,1,6,1,7,1,8,2,13,1,24,2,17,3,11,1,13,2,6,1,13,2,29,1,17,3,24,1,9,1,13,1,8,2,9,2,13,1,6,1,13,2,11,1,16,1,6,1,13,1,30,2,6,2,9,1,12,1,8,1,13,1,6,1,13,1,28,1,6,1,29,1,8,1,13,1,14,3,17,1,9,1,8,1,9,2,24,1,28,19,30,1,28,6,29,1,6,2,8,1,10,1,12,1,17,1,9,1,13,1,29,1,6,4,24,1,9,1,15,2,24,3,13,1,7,1,8,1,6,1,29,1,8,1,6,2,8,1,13,1,8,2,14,1,13,1,28,11,13,1,5,1,33,182,5,1,13,3,11,1,16,1,11,1,17,26,14,1,17,2,10,1,9,2,12,1,10,1,8,1,9,1,8,1,7,1,6,1,7,1,13,1,6,1,8,2,24,1,9,1,17,1,12,1,17,1,12,1,17,1,10,1,9,1,11,1,17,1,12,1,17,1,11,1,9,1,12,1,24,1,9,1,17,4,12,1,17,4,9,1,10,1,24,1,12,1,10,1,8,2,9,1,12,1,11,1,17,1,10,1,17,2,12,1,17,1,10,1,17,1,12,1,17,1,11,1,17,2,12,1,17,9,11,2,9,1,5,2,33,72,5,688,13,1,28,1,13,1,30,1,29,1,28,1,9,1,7,1,29,1,10,1,8,1,24,2,9,2,24,2,9,1,11,1,8,1,24,1,8,1,12,1,24,1,10,1,9,2,12,1,11,1,9,1,10,1,11,1,10,1,9,1,8,1,13,2,30,1,13,1,6,1,29,1,6,1,30,1,29,1,6,2,7,1,6,1,30,1,24,1,12,1,24,1,10,1,9,1,11,1,12,2,10,1,17,3,12,1,17,1,12,2,17,1,10,1,28,68,30,1,28,6,30,1,28,2,6,2,29,2,28,1,6,2,13,1,30,1,24,1,6,1,13,1,8,1,24,1,13,1,24,1,13,1,10,1,11,1,8,1,10,1,9,1,11,2,8,1,16,1,11,3,8,1,11,1,28,8,30,1,28,1,30,1,28,4,6,1,28,6,6,3,13,1,8,3,13,1,10,1,13,1,8,1,9,1,13,2,8,1,9,1,13,3,8,1,13,1,8,1,9,1,13,1,28,185,30,1,28,7,30,1,28,1,6,1,28,1,6,1,30,3,6,1,30,2,28,2,30,1,7,1,28,1,30,1,6,1,29,1,30,1,6,1,30,2,8,1,6,1,30,1,6,1,8,1,6,1,7,2,6,1,13,1,7,1,6,1,29,1,13,1,6,2,28,1,7,2,13,2,30,1,13,5,7,1,13,1,7,3,13,2,10,1,8,1,13,4,9,1,7,1,30,1,13,1,6,1,28,1,30,1,6,1,7,1,6,1,8,1,13,4,9,1,8,1,10,3,12,1,10,1,11,1,9,1,10,1,9,1,17,1,11,1,10,1,11,2,10,1,11,2,9,1,10,1,12,1,9,2,13,1,8,1,9,1,6,1,7,1,30,2,7,1,30,1,6,1,13,1,8,1,9,1,10,1,11,1,9,1,12,1,9,3,10,1,9,2,10,1,9,2,10,1,9,2,13,1,9,2,8,2,9,2,8,1,10,1,13,1,9,1,13,1,8,1,13,1,6,1,13,4,8,1,13,1,7,1,29,2,28,2,30,1,28,10,6,1,11,1,17,1,9,2,12,1,17,1,10,1,12,1,11,1,17,1,11,1,12,3,9,1,12,1,17,1,16,2,17,21,16,3,17,3,16,3,17,5,16,2,17,1,16,1,17,5,16,1,17,52,12,1,17,1,12,1,17,1,12,1,6,1,28,3,30,1,6,1,8,1,13,1,6,1,29,1,13,1,11,1,17,8,16,1,17,1,16,1,17,7,9,1,12,2,7,1,13,1,29,1,7,1,29,2,30,2,28,23,6,1,29,1,6,1,7,1,12,1,17,5,16,2,11,1,17,5,7,1,30,1,28,2,29,1,28,1,30,1,28,20,30,1,28,2,29,1,26,4,25,1,26,1,24,1,25,1,8,1,25,1,8,1,25,1,30,1,28,3,30,1,28,8,6,1,24,3,10,1,17,1,12,1,17,4,10,1,17,1,9,1,17,1,12,2,11,1,9,1,12,1,9,1,12,2,10,1,12,1,17,2,10,2,12,1,16,2,11,2,9,1,17,8,11,1,17,1,11,1,17,11,12,3,9,1,12,1,11,1,8,1,11,1,12,1,10,1,11,1,9,2,17,1,10,2,17,2,9,1,17,2,11,1,12,1,17,7,11,2,17,1,11,2,17,1,12,1,11,2,17,1,12,1,17,1,11,4,17,3,12,1,17,6,12,1,11,1,17,4,12,1,17,2,12,2,11,1,12,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,8,1,9,4,10,1,9,1,10,1,9,2,11,1,12,1,9,2,12,1,11,1,12,1,11,4,12,2,17,1,11,1,17,1,10,1,11,1,10,1,12,1,11,1,10,1,12,2,11,1,12,1,10,1,17,1,11,1,17,1,10,1,11,1,17,1,11,2,17,1,11,1,17,1,12,1,17,1,9,1,17,1,12,2,17,3,12,1,11,1,17,1,11,3,17,1,12,1,11,4,17,1,12,1,17,2,11,1,17,1,11,1,17,7,11,4,17,2,12,1,17,3,12,1,17,6,11,1,12,1,11,3,9,1,11,2,12,1,17,9,10,1,17,1,12,1,17,1,12,1,17,1,12,1,17,11,12,1,13,1,28,2,6,1,30,2,28,7,6,1,13,1,16,1,17,5,12,1,8,1,11,1,13,1,9,2,7,1,24,1,9,2,12,1,11,2,17,1,6,1,28,4,6,1,9,1,24,1,7,1,8,1,30,1,29,1,28,1,30,1,28,23,}, {6,1,28,4,30,1,28,1,7,1,29,1,28,2,6,1,28,1,6,1,28,1,30,1,28,2,6,1,28,3,29,1,28,1,30,1,28,1,6,1,28,1,30,1,29,2,6,1,24,1,7,1,8,1,13,1,9,1,17,3,8,1,13,1,6,1,13,1,7,1,13,1,12,1,17,2,16,1,24,1,12,1,9,3,8,1,13,1,6,1,13,1,6,1,17,1,11,1,24,1,6,1,30,1,29,3,11,1,17,1,24,1,9,1,8,1,6,1,13,1,7,1,29,1,13,1,8,1,12,1,14,2,10,1,13,2,8,1,15,1,24,1,28,28,6,1,24,1,8,1,12,1,10,1,24,1,8,1,6,1,29,1,13,1,30,1,28,1,8,1,24,1,17,1,10,2,8,1,24,1,13,1,8,2,6,1,28,1,30,1,29,1,6,1,8,2,24,1,9,1,14,1,6,1,28,11,13,1,5,1,33,183,30,1,13,1,9,1,10,1,13,1,11,1,17,26,14,1,16,1,12,1,9,1,10,1,9,1,8,1,24,1,9,1,8,1,6,1,13,1,6,2,13,1,29,1,13,1,24,1,9,1,11,1,10,1,17,2,9,1,8,2,7,1,13,1,12,1,9,1,12,1,9,1,17,9,12,3,13,1,9,1,10,1,9,1,17,1,11,1,12,1,17,1,9,1,17,3,12,2,17,1,12,2,17,1,12,1,17,1,12,2,9,1,12,1,17,12,16,1,11,1,5,1,33,73,5,687,28,1,30,1,13,2,6,1,30,1,13,1,6,1,13,2,24,1,8,1,24,1,10,1,8,1,11,1,24,2,11,1,9,2,24,1,10,1,7,1,12,1,13,1,24,1,12,1,24,1,12,2,24,1,9,1,8,1,13,3,7,1,13,1,29,1,6,1,29,2,30,1,6,1,13,1,6,2,8,1,9,1,10,1,8,1,11,1,9,1,11,1,17,2,11,1,17,2,12,1,17,1,11,1,12,2,9,1,28,69,30,1,28,1,30,1,28,3,30,4,6,1,29,2,7,1,6,1,7,1,29,1,7,1,6,1,7,1,8,1,13,2,8,1,9,1,10,1,9,5,11,3,9,1,11,6,16,1,13,1,28,11,6,1,28,1,30,1,28,1,6,2,28,5,7,1,13,2,8,1,10,1,9,2,8,3,13,1,9,1,8,1,13,3,9,1,13,1,8,1,13,2,9,1,7,1,28,193,30,1,6,1,30,1,28,2,6,1,29,1,28,1,30,2,6,3,30,1,28,1,30,1,28,3,7,1,6,1,28,1,7,1,30,2,6,1,7,1,13,1,6,1,29,1,30,1,6,1,13,1,30,1,6,4,30,1,6,1,7,1,6,2,13,3,6,1,29,1,7,1,6,1,13,5,11,1,13,1,9,4,6,2,13,4,8,1,13,2,8,1,13,1,8,1,10,2,11,2,17,1,11,1,17,1,12,3,17,1,11,1,17,2,11,1,17,1,12,1,17,7,12,1,10,1,11,1,12,1,11,2,9,2,11,2,9,1,10,1,8,1,6,1,13,1,8,2,9,1,10,1,11,1,10,1,9,1,11,1,9,1,10,1,11,1,9,1,13,3,8,1,9,1,10,1,9,1,8,1,13,2,9,1,13,1,8,1,10,1,9,1,13,2,8,1,13,2,7,1,13,6,6,2,7,1,6,3,29,1,28,2,30,1,6,1,28,7,13,1,17,2,11,1,10,1,12,3,17,1,11,1,10,1,12,2,11,2,17,1,11,1,17,20,16,2,17,6,16,1,17,2,16,1,17,64,12,1,16,1,17,1,12,2,17,1,13,1,28,5,6,1,8,1,13,1,6,1,30,1,13,1,10,1,17,3,16,1,11,1,16,2,17,7,16,1,17,7,24,1,7,1,8,1,30,1,8,1,29,1,30,2,28,20,29,1,30,1,6,1,29,1,6,1,7,1,11,1,17,4,16,3,11,1,17,1,11,1,17,2,11,1,29,1,30,1,28,1,30,1,28,2,27,1,28,1,30,1,28,3,29,1,28,3,30,1,28,7,30,2,28,2,29,4,27,1,25,1,27,1,24,1,29,1,25,2,24,1,8,2,25,2,8,1,26,1,25,1,6,1,28,1,30,1,28,5,30,1,8,1,25,1,24,1,12,4,11,1,17,2,11,1,17,8,10,1,12,1,10,1,12,1,10,1,9,1,17,2,9,1,17,5,16,1,17,4,12,1,17,2,11,1,12,1,11,1,17,3,11,1,12,1,17,5,12,1,17,2,11,1,12,1,10,2,11,1,10,2,12,1,11,2,17,1,12,2,17,1,12,1,17,1,11,1,17,2,11,1,17,2,11,1,17,1,11,1,17,1,11,1,12,1,11,1,12,1,17,1,9,1,17,4,11,2,17,1,11,2,12,1,17,1,12,1,11,1,17,1,11,1,17,1,11,1,17,9,12,1,17,3,12,1,17,1,12,2,11,1,9,1,11,2,9,1,11,1,10,1,13,1,8,1,11,2,9,2,10,1,12,2,9,1,10,1,9,1,11,1,9,2,10,2,12,1,10,1,9,1,10,2,12,1,17,1,11,2,17,2,11,1,17,1,11,2,9,1,11,1,17,2,11,1,12,3,17,2,10,1,11,1,12,1,11,1,12,1,17,1,11,1,17,1,11,1,17,2,9,1,17,1,11,1,17,2,10,1,17,1,12,1,11,1,12,2,9,1,12,2,11,1,17,2,12,1,17,3,11,2,12,3,17,1,10,1,17,5,12,1,17,1,12,1,11,1,17,1,12,1,11,1,17,1,12,1,17,4,11,1,17,1,12,1,11,2,10,1,11,2,12,2,10,1,11,1,17,7,12,1,17,1,12,2,17,18,13,1,28,2,6,1,28,6,30,1,6,1,30,1,6,1,9,1,17,6,12,1,8,1,24,1,13,1,24,3,9,1,24,1,10,2,11,1,12,1,9,1,7,1,28,4,6,1,9,2,6,1,7,1,29,2,28,1,30,2,28,22,}, {13,1,28,4,29,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,6,1,29,1,6,1,28,7,30,2,6,1,30,1,29,2,13,1,8,2,12,1,17,4,9,1,13,1,8,1,13,2,30,1,8,1,17,1,16,2,17,1,10,1,9,1,8,1,9,1,8,1,13,1,29,1,6,1,8,1,15,1,17,1,9,1,6,3,7,1,6,1,10,1,17,1,10,1,8,1,13,1,7,1,6,1,13,1,6,1,28,1,9,1,12,1,14,2,9,1,8,1,13,2,24,1,13,1,28,26,30,2,6,1,13,2,17,2,9,1,8,1,6,1,30,1,29,1,30,1,28,1,8,1,9,1,15,1,12,1,9,1,8,1,24,1,13,1,6,1,13,1,29,1,6,3,29,1,13,1,8,3,15,1,13,1,28,11,6,1,5,1,33,182,30,1,13,1,9,1,11,1,13,1,8,1,16,1,11,1,16,1,17,22,16,2,17,1,9,2,8,1,13,1,24,1,13,1,24,2,13,1,8,1,13,1,7,1,30,1,13,1,8,1,24,1,13,1,10,1,8,1,12,1,9,1,24,1,6,1,24,1,8,1,24,2,12,1,24,1,17,1,12,2,17,10,12,1,17,1,12,1,17,10,12,1,17,1,12,1,17,1,12,1,17,1,12,2,17,1,12,1,17,2,9,1,17,13,9,1,5,1,33,74,5,684,6,1,28,1,6,1,13,1,7,1,6,1,28,1,8,1,6,1,8,1,9,2,24,1,9,1,12,1,10,2,8,2,10,1,24,2,13,1,9,2,12,1,10,1,11,1,12,2,10,1,11,1,12,1,24,3,13,1,6,1,7,1,6,1,29,1,6,2,29,1,7,1,13,1,6,1,29,1,7,1,17,1,12,1,11,1,9,2,10,1,12,1,11,1,12,4,17,1,11,1,10,1,9,2,28,72,29,1,28,2,30,1,13,1,28,1,29,1,7,1,6,1,30,1,6,2,29,1,6,2,13,1,7,1,8,2,13,1,8,2,13,1,9,1,8,1,9,1,10,2,11,1,9,1,17,1,11,4,16,2,11,1,9,1,11,1,12,1,9,1,30,1,28,6,30,2,28,3,30,1,6,1,30,2,28,7,6,2,7,1,13,1,9,1,8,1,9,1,8,4,13,1,24,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,28,190,6,1,28,1,6,1,28,5,30,1,28,2,30,1,28,3,30,1,28,3,7,1,30,1,28,1,7,2,13,1,30,1,8,2,6,1,28,1,6,1,7,2,6,1,30,1,6,2,28,1,6,1,30,1,6,1,7,1,13,2,6,1,7,1,13,2,8,2,13,1,7,1,8,1,13,1,7,1,8,1,13,2,9,1,11,1,9,1,13,1,8,2,11,1,8,1,10,1,9,1,13,1,8,1,10,1,13,1,11,1,8,1,17,1,11,2,17,5,12,1,17,8,11,1,17,12,11,1,9,1,17,1,12,1,9,1,12,1,10,1,11,2,8,1,9,2,8,1,9,2,10,1,12,1,9,1,10,1,9,1,12,1,9,1,11,2,9,2,13,2,8,1,9,1,8,1,9,2,13,1,9,1,8,1,10,1,9,1,13,1,8,1,13,3,9,1,8,2,13,1,9,1,13,1,8,1,7,1,13,1,6,1,13,1,6,2,30,1,6,1,28,1,30,3,28,6,7,1,9,1,17,1,10,1,9,1,12,3,17,1,9,1,12,2,16,1,17,22,16,3,17,5,16,2,17,1,16,2,17,53,16,1,17,11,10,1,17,2,12,1,10,1,24,1,30,1,28,3,6,1,8,3,13,1,30,1,7,1,11,1,17,5,11,1,16,1,17,18,8,1,24,1,8,1,13,2,28,1,30,1,28,17,30,1,28,1,29,1,7,1,13,1,8,2,12,1,17,3,16,2,17,1,16,2,17,1,16,1,17,2,8,1,28,1,29,1,28,1,30,3,28,2,30,4,28,1,30,1,28,2,30,1,28,4,30,2,28,4,25,1,30,1,27,1,25,2,26,1,25,1,30,1,26,2,25,3,24,1,25,1,8,2,24,2,25,1,8,1,25,1,6,1,28,5,29,1,25,1,8,1,24,2,17,1,12,2,17,1,12,1,17,10,10,1,17,1,12,1,9,1,12,1,17,1,11,1,10,1,17,5,16,1,17,9,12,3,11,1,10,1,17,11,9,2,10,1,9,1,11,2,12,2,17,1,9,1,12,2,17,1,11,3,17,1,10,1,17,2,11,1,17,3,12,2,11,1,17,9,11,1,17,1,10,1,11,1,12,2,11,2,12,1,11,1,17,8,11,1,17,3,12,1,17,1,11,2,17,1,11,1,9,1,12,2,9,1,11,1,10,1,24,1,9,2,24,2,9,2,8,1,12,1,10,1,9,1,8,1,9,3,12,1,10,1,11,1,9,1,11,2,12,2,11,1,12,2,17,3,11,1,12,1,11,1,17,1,10,1,12,2,11,2,17,2,11,1,17,1,11,3,17,1,10,1,11,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,12,1,17,1,11,2,17,2,11,2,17,1,12,1,11,1,12,1,17,1,12,2,17,3,11,1,17,3,11,1,17,2,11,1,17,2,12,1,11,2,12,1,17,2,11,2,17,2,11,1,12,1,17,1,12,1,17,1,11,1,12,1,11,2,12,1,9,1,12,2,11,2,12,1,17,11,12,1,17,1,12,1,17,1,12,1,17,14,13,1,28,3,30,1,28,6,6,1,29,1,30,1,8,1,17,5,16,1,11,1,8,1,7,1,24,1,9,2,17,1,24,1,9,1,11,1,9,2,17,1,9,1,13,1,28,4,29,1,10,2,30,1,6,2,29,1,30,1,29,1,6,2,28,21,}, {6,1,29,1,28,4,6,1,28,1,30,1,29,1,30,1,28,2,29,1,6,1,30,1,6,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,6,1,13,1,8,1,24,1,11,1,9,2,17,2,12,1,9,1,7,1,8,1,6,1,13,2,17,3,16,1,12,3,10,1,9,1,12,1,24,1,13,1,7,1,24,1,11,1,17,1,24,1,6,1,30,1,7,2,6,1,8,1,17,2,8,3,13,1,6,1,8,2,13,1,12,1,14,2,9,1,13,1,7,1,8,1,9,1,13,1,28,27,6,1,30,1,7,1,13,1,9,1,12,1,11,1,8,1,6,1,13,1,30,1,6,1,28,1,7,1,12,2,15,1,11,1,8,1,13,1,8,1,24,1,13,1,29,1,28,2,30,1,13,2,8,1,9,1,8,1,15,1,8,1,28,11,30,1,5,2,33,179,5,1,33,1,9,2,11,1,9,2,10,1,11,1,10,1,17,19,16,1,17,3,9,3,15,1,12,1,7,1,24,2,7,1,24,3,6,2,28,1,6,1,8,1,9,3,24,1,9,3,13,2,8,1,13,1,12,1,10,1,17,1,12,1,17,1,11,1,17,33,12,1,17,16,9,1,17,1,5,1,33,74,5,683,28,2,7,1,29,1,30,2,29,1,13,1,6,1,13,1,8,1,10,1,12,2,9,1,10,1,9,1,12,1,9,3,13,1,9,1,11,1,8,1,12,1,9,2,10,1,17,2,10,1,12,1,9,1,13,1,10,1,13,2,6,2,7,1,29,1,6,1,7,1,6,1,8,1,29,1,7,1,8,1,12,1,11,1,9,1,11,1,9,1,10,1,12,3,17,2,12,3,9,1,10,1,28,64,29,1,28,6,30,2,28,1,30,1,29,1,6,1,30,2,13,1,29,1,13,2,29,1,13,1,8,1,9,1,7,1,13,1,9,1,13,1,8,1,13,1,8,2,11,1,8,1,9,2,10,1,11,1,9,1,11,3,16,1,11,1,16,1,11,1,9,1,16,1,9,1,11,2,9,1,11,1,6,1,28,8,30,1,28,1,30,2,13,1,6,2,29,1,30,1,28,6,6,1,13,1,8,1,9,2,8,4,13,3,9,1,13,2,9,1,8,1,9,1,8,1,13,1,8,2,30,1,28,186,29,1,28,5,30,1,28,2,29,1,28,3,30,2,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,9,3,13,1,28,1,30,1,6,1,13,1,6,1,30,1,6,3,7,1,28,2,6,1,30,2,6,2,13,1,6,1,13,1,8,1,13,2,9,1,13,4,8,1,9,1,13,1,9,1,11,1,10,1,9,3,11,1,10,1,11,1,17,2,12,1,10,1,17,1,10,1,17,8,12,1,11,1,17,3,12,2,10,1,17,1,11,1,17,1,9,1,17,6,9,1,12,2,11,1,9,1,8,2,11,1,17,3,12,1,10,1,11,1,9,1,11,1,9,3,8,1,9,2,11,1,12,1,10,1,11,1,9,2,13,1,9,3,11,1,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,2,13,2,8,1,11,1,9,1,8,1,7,1,8,1,9,1,7,1,8,1,13,1,9,2,8,1,7,1,13,1,30,1,7,3,13,1,30,1,28,1,7,1,6,1,28,6,30,1,8,1,9,1,10,2,12,1,17,1,12,1,17,1,16,1,17,1,16,1,17,3,16,1,17,16,16,1,17,1,16,1,17,3,16,1,17,3,16,3,17,1,16,1,17,31,16,1,17,38,11,1,28,3,6,2,7,1,8,2,6,1,30,1,10,1,17,5,16,1,17,1,11,1,17,21,12,1,9,1,24,1,7,1,30,1,28,15,30,1,6,1,30,1,6,1,8,1,13,1,24,1,13,1,8,1,11,2,17,1,16,5,17,1,11,1,17,2,7,1,28,1,30,2,28,1,30,1,28,1,29,1,28,1,29,1,30,2,29,1,30,1,29,1,30,1,28,1,30,1,29,1,30,1,27,1,28,1,29,2,30,1,27,1,30,1,27,1,29,1,27,1,30,1,25,3,27,1,25,2,26,1,6,2,28,5,27,1,25,1,24,3,25,1,6,1,28,4,29,1,25,1,10,1,9,1,17,2,12,1,17,1,9,1,11,1,12,1,17,1,11,1,17,1,12,1,17,3,12,1,17,1,12,1,17,2,12,1,11,2,10,1,17,15,12,1,11,1,17,1,11,1,17,4,12,1,17,3,11,1,17,1,12,1,10,1,11,3,10,1,9,2,17,1,11,3,12,5,11,2,12,1,11,3,12,1,11,1,17,3,11,1,17,1,12,1,17,1,11,1,17,1,12,1,11,2,12,1,11,1,17,1,11,3,17,1,11,2,17,2,11,1,17,2,11,1,17,5,12,1,17,2,12,2,11,1,17,1,11,1,10,2,9,1,11,1,10,1,11,1,9,1,24,1,11,1,10,1,9,2,24,1,8,1,9,1,10,2,24,1,12,1,13,1,24,1,8,1,10,1,9,3,10,1,12,1,9,1,11,1,17,1,12,1,17,1,11,1,17,1,11,1,10,1,9,1,12,1,17,1,11,1,17,1,12,1,17,4,10,1,11,1,12,1,17,1,12,2,11,3,9,1,11,2,17,1,12,1,17,5,12,1,17,5,12,1,17,1,12,1,11,1,10,1,11,1,10,1,17,1,12,1,17,2,12,1,17,3,11,1,17,6,11,1,17,3,12,2,11,1,17,1,12,1,17,2,12,2,17,1,11,1,10,1,12,1,10,1,12,1,11,2,12,3,9,1,10,1,12,1,17,9,12,1,17,2,11,1,17,1,12,1,17,14,28,3,6,1,28,3,30,1,28,1,29,1,6,2,30,1,28,1,8,1,17,6,8,1,9,1,13,1,7,1,24,1,9,1,8,1,24,1,9,1,8,1,9,1,10,1,11,1,9,1,6,1,28,4,6,1,9,2,7,1,29,1,28,2,30,1,28,1,29,1,28,22,}, {13,1,6,1,28,4,6,1,28,2,29,1,28,1,30,2,28,1,7,1,30,1,28,1,6,1,28,10,29,1,6,1,7,1,8,1,9,1,8,1,9,1,24,1,9,1,17,3,13,2,6,1,13,1,30,2,10,1,17,2,11,2,16,2,9,1,15,2,13,4,9,1,15,1,9,1,13,1,30,1,6,1,7,1,30,1,9,1,17,1,9,1,13,1,9,1,13,1,8,1,7,1,8,1,24,1,9,1,15,1,14,2,12,1,7,1,8,1,13,1,24,1,8,1,30,1,28,26,6,1,29,1,6,1,8,1,10,1,12,1,9,1,7,1,29,1,7,1,29,1,30,1,6,2,24,1,12,1,24,1,9,1,8,4,6,2,29,1,30,1,13,1,7,1,13,2,24,1,8,1,12,1,8,1,28,11,9,1,5,1,33,181,13,1,9,2,11,3,9,1,11,1,17,23,12,1,9,2,8,1,13,2,8,1,13,1,8,1,9,2,8,1,6,2,8,1,13,3,24,1,11,1,9,1,11,1,8,1,9,1,13,1,9,1,8,1,13,1,24,1,10,1,24,1,17,2,12,1,17,28,12,1,17,1,10,1,12,1,17,2,12,1,17,17,16,2,5,1,33,75,5,681,28,2,7,1,28,1,13,1,29,1,30,1,8,3,24,1,11,1,10,1,12,1,10,1,9,1,11,1,12,1,10,1,8,1,10,1,8,1,9,1,12,1,10,1,12,3,11,1,12,1,10,1,12,1,17,1,10,1,8,2,7,1,8,1,7,1,6,2,13,1,6,1,7,2,6,2,7,1,8,1,17,1,10,2,11,2,12,1,17,1,12,1,17,4,12,1,17,1,11,1,28,65,30,1,28,1,30,1,28,1,29,1,28,1,30,3,29,2,6,3,13,1,6,1,13,1,6,1,13,1,6,1,8,2,13,1,9,1,13,2,9,1,16,1,9,2,10,1,9,1,11,1,12,2,9,1,12,1,11,1,12,1,11,2,16,1,17,1,11,1,16,1,9,1,17,1,12,1,11,1,16,1,11,1,9,1,17,1,11,1,6,1,28,7,30,1,28,1,6,1,13,1,7,1,6,2,7,1,6,1,30,1,28,5,30,1,28,1,13,4,8,2,13,1,8,2,13,1,9,1,13,3,9,2,13,2,8,1,7,1,8,1,7,1,28,202,30,3,28,1,30,1,6,1,9,1,8,1,6,1,30,1,13,1,30,4,29,1,6,3,30,3,13,1,6,1,28,1,13,1,29,1,6,1,13,4,9,1,13,1,6,1,8,1,13,1,9,1,8,1,9,1,11,1,17,1,11,1,17,9,10,1,12,1,11,2,17,1,9,1,17,1,11,1,17,2,12,3,9,1,11,2,10,1,11,1,9,2,13,1,9,1,13,2,7,1,8,1,10,1,9,1,13,1,8,1,10,1,7,1,13,2,6,1,13,3,9,1,8,2,10,1,11,1,12,1,11,1,10,1,11,1,9,1,10,1,11,1,9,6,8,1,12,1,11,2,9,3,17,1,13,1,9,1,13,1,9,4,13,3,7,1,13,5,8,1,13,1,8,2,13,1,9,1,13,1,9,1,7,1,29,1,13,1,7,1,30,1,6,1,13,1,7,1,13,2,7,1,6,1,28,6,9,1,11,1,17,1,12,2,17,12,16,2,17,3,16,1,17,7,16,1,17,1,16,2,17,3,16,3,11,1,17,72,12,1,17,1,10,1,28,3,30,2,6,1,8,1,7,1,6,1,7,1,9,1,12,1,17,9,16,2,17,1,16,1,17,17,12,1,8,2,29,2,28,14,30,1,29,1,6,1,13,1,6,1,9,1,13,1,24,1,11,2,16,6,17,3,8,1,28,4,30,2,28,2,30,2,28,3,29,3,30,1,29,1,27,1,30,1,27,1,29,1,27,1,29,1,26,4,6,2,8,1,26,1,25,1,8,1,6,1,25,2,8,1,6,1,28,8,26,1,25,1,8,1,25,1,27,1,28,3,30,1,6,1,24,1,12,1,10,1,17,2,12,3,17,3,10,1,17,3,12,1,17,4,12,1,10,1,8,1,11,1,10,1,17,13,12,2,17,2,12,1,17,7,12,1,17,1,12,1,17,2,11,1,12,1,11,1,9,2,11,1,9,1,11,1,17,1,12,1,10,1,17,2,11,1,17,1,10,1,12,2,11,1,17,1,11,1,17,5,11,1,12,1,17,1,11,1,12,1,11,1,12,1,11,1,17,2,12,2,11,2,12,1,17,1,10,1,17,1,11,1,17,1,12,1,17,8,11,1,17,1,11,1,17,1,11,2,12,1,10,2,11,1,10,1,12,1,10,1,11,1,9,1,24,1,9,1,10,1,9,1,24,1,10,1,24,1,10,1,24,1,8,1,9,2,24,1,10,1,9,3,11,1,17,1,12,2,9,1,10,1,11,1,10,1,12,2,17,1,12,1,11,1,10,1,11,1,12,2,9,1,11,1,17,2,10,1,11,1,12,1,11,1,12,1,11,1,9,1,12,1,11,1,17,1,12,1,17,2,11,1,12,1,11,1,12,3,17,1,12,1,11,1,17,1,12,1,17,1,12,2,17,1,11,2,12,2,11,1,10,2,9,1,12,1,17,1,12,3,17,10,11,1,17,2,11,2,10,1,9,1,17,1,12,1,17,1,11,1,12,2,11,3,10,1,11,2,12,1,11,3,9,1,10,1,9,1,17,10,11,1,12,1,17,1,10,1,17,16,28,3,6,1,28,4,29,1,6,1,30,2,28,1,6,1,13,1,17,4,16,1,17,1,13,3,7,1,9,1,8,3,13,1,9,2,11,1,10,1,12,1,30,1,28,4,29,1,15,1,11,1,7,1,6,1,30,1,29,1,7,1,6,2,30,1,28,21,}, {6,1,7,1,28,3,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,30,3,28,6,6,2,28,1,30,1,6,1,28,1,7,1,6,1,9,1,13,1,6,1,9,2,17,3,7,1,9,1,6,1,13,1,29,1,30,1,9,1,17,1,11,1,12,1,10,1,9,1,17,1,12,1,24,1,9,1,13,1,6,2,13,1,12,1,17,1,11,1,8,1,13,1,6,2,7,1,8,1,17,1,12,1,15,1,9,2,24,1,9,2,8,1,15,1,9,1,15,1,12,2,13,1,24,1,8,1,24,1,13,1,30,1,28,24,30,2,29,1,8,1,13,1,8,1,10,2,24,1,13,1,28,1,30,1,29,1,6,1,28,1,13,1,24,2,14,1,8,1,13,2,6,1,29,1,30,1,6,1,28,2,6,2,13,2,8,1,10,1,24,1,6,1,29,1,28,10,6,1,13,1,33,181,9,4,11,2,10,1,17,18,11,2,9,3,8,1,12,1,8,1,13,1,7,1,6,1,13,3,8,1,13,1,8,1,6,2,13,1,6,1,8,1,24,1,8,1,24,1,9,1,24,1,8,2,9,1,8,2,24,1,8,1,9,1,11,1,17,22,12,1,17,6,12,3,17,3,12,1,10,2,17,20,5,2,33,75,5,679,30,1,28,2,6,1,30,1,6,1,28,1,29,1,8,1,24,1,8,2,12,2,17,1,12,3,10,1,12,1,10,1,24,3,12,1,10,1,11,1,24,1,12,2,9,1,12,1,10,1,24,1,10,1,24,1,8,1,13,1,7,1,29,1,6,1,7,1,6,4,29,1,7,1,13,1,17,1,11,1,13,1,12,1,9,1,10,1,11,1,17,1,12,3,17,2,11,1,8,1,28,67,30,1,28,4,30,1,28,2,30,1,29,1,13,1,6,2,28,1,6,1,8,1,13,2,9,1,8,1,9,2,8,1,13,1,9,4,11,1,9,2,11,1,9,1,11,1,17,1,11,1,12,1,9,1,11,3,17,1,11,2,17,1,10,1,9,1,17,2,11,1,9,1,10,1,11,2,13,1,28,6,30,2,28,2,6,1,13,1,8,1,13,5,28,6,13,3,9,1,13,3,8,1,24,1,13,1,8,2,13,2,8,1,13,2,9,1,13,1,9,2,28,196,30,1,28,1,30,1,28,1,30,2,28,3,6,1,28,1,13,1,30,1,28,3,29,1,28,1,30,1,7,1,13,1,6,1,28,1,13,1,28,1,7,1,6,1,30,1,13,1,7,1,30,1,29,1,13,4,9,1,13,2,8,1,9,1,13,1,9,2,11,1,9,1,17,6,16,1,17,2,11,1,12,1,11,1,17,1,12,1,17,1,10,1,11,1,12,1,17,1,12,1,11,2,12,1,10,1,11,2,9,1,13,4,8,1,13,1,9,1,13,1,8,1,9,1,13,1,11,1,10,1,13,2,9,1,13,3,8,2,13,2,6,1,13,1,6,2,13,2,8,1,9,1,8,1,9,1,8,1,11,1,9,1,11,2,10,1,11,1,10,1,8,3,9,1,10,1,11,2,10,1,11,2,8,1,9,2,13,1,8,1,10,1,12,1,10,1,9,1,8,1,13,3,9,1,13,1,10,1,13,2,9,1,13,4,6,1,7,3,13,1,6,1,13,2,6,1,13,2,7,1,6,1,28,4,29,1,17,1,10,1,17,2,11,1,17,6,16,1,17,2,16,1,17,14,16,1,17,2,16,2,17,1,16,4,17,27,16,4,17,9,16,2,17,33,12,1,30,2,29,1,6,1,29,1,13,1,7,2,6,1,7,1,9,1,10,1,17,1,12,1,17,10,16,1,17,18,10,3,8,1,6,1,30,1,28,1,30,1,28,13,30,1,29,1,6,1,24,1,8,2,17,1,9,1,11,1,16,4,17,1,16,1,17,1,13,1,28,4,30,1,28,4,30,1,29,1,27,1,28,1,27,1,28,2,27,2,30,1,26,1,29,1,25,2,27,1,25,1,27,2,25,1,26,1,8,2,7,1,25,1,8,1,25,1,6,1,26,1,25,1,29,1,30,1,28,8,24,1,8,1,29,1,28,3,30,1,6,1,8,1,24,1,17,2,8,1,9,1,10,1,12,2,10,1,9,1,17,7,12,1,24,1,17,1,11,1,10,1,11,2,17,14,12,1,17,1,12,1,11,2,12,2,17,4,12,1,11,1,17,2,11,1,9,1,17,1,10,1,12,1,10,1,9,2,17,1,11,1,12,1,11,2,17,2,12,1,17,2,10,1,17,1,12,1,17,3,11,1,17,5,11,1,17,1,12,1,11,1,17,1,11,1,12,1,17,2,11,1,12,1,11,1,10,1,17,3,11,1,17,2,12,1,11,1,12,1,17,4,9,1,17,2,12,1,17,1,12,1,11,1,9,1,17,1,12,1,9,1,12,1,11,1,10,1,9,1,10,1,11,1,10,1,9,1,10,1,8,1,24,1,8,2,9,2,8,1,9,1,24,1,9,1,11,1,8,1,12,1,11,3,10,2,11,1,10,1,11,1,10,1,11,3,10,1,11,1,10,1,11,3,17,1,12,1,11,1,12,1,11,1,12,4,11,1,17,1,12,3,11,1,12,1,11,1,12,1,11,1,17,1,12,1,17,1,10,1,17,3,11,1,17,3,11,1,12,1,11,1,12,3,11,1,17,1,10,1,11,1,17,4,11,1,17,7,11,1,17,2,12,2,11,1,12,1,11,1,12,2,11,1,17,2,9,1,10,1,11,2,12,1,11,1,10,1,12,1,9,1,11,1,9,1,11,1,12,2,11,1,17,1,12,1,17,2,12,1,17,4,12,1,24,1,10,1,17,2,12,1,17,15,30,1,28,2,30,1,7,1,6,1,30,1,28,2,29,2,28,2,30,1,13,1,17,5,9,1,8,1,9,2,6,1,24,1,7,1,8,2,9,2,10,1,17,2,12,1,30,1,28,4,13,1,10,1,8,1,7,1,6,2,28,1,30,2,13,1,28,22,}, {30,1,6,1,28,3,30,1,28,1,29,1,28,6,30,3,28,7,30,6,6,3,30,1,24,1,9,2,17,3,9,1,13,1,7,1,30,2,29,1,8,1,17,2,12,1,16,1,11,1,17,1,15,1,9,1,10,1,7,1,13,1,7,1,30,1,9,1,17,1,8,1,13,1,7,1,13,1,28,1,8,1,24,1,15,1,17,1,15,1,24,1,12,1,7,1,13,2,7,1,13,1,15,1,12,1,11,1,9,1,8,1,13,2,9,1,13,2,28,18,6,1,28,6,30,1,29,1,6,1,7,2,9,1,12,1,9,1,13,1,6,2,29,1,30,1,29,1,6,1,9,1,10,1,15,1,8,1,24,1,13,2,7,2,6,1,30,1,28,2,29,1,8,2,24,1,13,1,9,1,17,1,28,11,30,1,6,1,5,1,33,178,5,1,33,1,9,2,16,2,9,2,11,1,17,16,11,2,8,1,9,1,13,1,8,1,9,3,8,1,13,1,24,1,9,1,8,3,24,1,13,2,6,1,13,2,24,1,13,1,7,1,24,1,9,1,8,1,11,1,8,1,24,1,13,3,9,1,11,1,17,21,12,1,17,3,12,1,9,1,24,1,12,1,24,1,9,2,24,1,10,1,9,1,24,1,17,1,9,1,17,22,16,1,5,1,33,76,5,678,28,2,6,1,29,1,30,1,7,1,28,1,13,1,9,1,13,1,24,1,10,2,17,4,12,3,10,3,17,1,12,2,10,2,12,3,9,1,12,1,24,1,11,1,13,2,8,1,7,1,6,1,13,1,6,1,13,2,29,1,13,1,7,1,13,2,17,1,9,2,17,1,11,2,12,2,17,2,12,1,17,2,8,1,7,1,28,67,30,1,29,1,28,2,30,1,6,1,29,1,6,1,7,1,6,1,13,1,6,2,13,2,8,1,13,1,12,1,9,2,8,1,9,1,13,1,17,1,9,1,12,1,9,1,11,1,13,1,11,1,10,1,11,1,12,1,10,1,9,1,12,1,16,2,17,1,12,1,11,1,9,2,17,2,10,1,16,1,17,1,16,1,12,1,11,1,12,1,9,1,11,1,10,1,11,1,8,1,28,3,30,1,28,2,30,1,28,1,6,1,7,1,6,1,7,1,13,1,8,2,13,1,8,1,9,1,28,5,30,1,28,1,7,1,30,1,7,1,6,1,8,5,13,1,8,3,9,1,8,1,9,1,13,1,11,1,28,202,30,2,6,1,30,1,6,1,13,1,30,1,28,2,6,1,30,1,6,1,7,1,13,1,30,1,28,1,13,1,6,1,30,1,6,1,30,1,29,1,30,1,6,2,7,1,30,1,8,1,13,1,8,1,13,1,9,1,13,1,9,1,11,1,17,2,10,1,11,1,12,1,9,1,17,4,11,1,17,6,11,1,17,1,10,1,9,1,11,1,9,2,10,1,9,1,8,1,13,1,11,1,13,1,9,2,13,2,7,1,13,1,9,1,13,6,10,1,13,2,10,1,9,1,8,1,13,2,8,1,13,1,8,2,6,1,13,1,6,1,13,1,7,1,6,1,30,1,13,1,8,1,13,1,10,1,9,1,10,1,12,2,11,1,9,1,11,1,10,1,9,3,13,1,8,1,9,2,13,1,9,1,10,1,17,1,9,4,8,1,11,1,10,1,13,2,9,1,8,1,13,1,8,2,24,1,8,1,9,1,8,1,13,1,9,1,7,2,8,1,6,1,30,1,28,1,13,4,8,1,7,1,8,1,7,1,13,1,28,3,6,1,9,1,12,1,17,2,10,1,12,1,17,3,16,1,17,3,16,1,17,9,16,1,17,2,16,1,17,4,16,5,9,1,17,4,16,1,17,11,16,1,17,1,16,4,17,2,16,3,11,1,16,1,11,1,16,4,9,1,16,2,9,2,16,2,11,4,9,1,16,1,17,31,8,1,6,5,29,1,30,2,13,1,10,2,17,6,16,1,17,10,12,1,17,6,12,4,24,1,12,1,24,1,8,1,24,1,8,1,13,1,30,3,6,2,29,1,28,1,29,1,28,11,29,1,13,1,9,1,24,1,9,1,11,1,10,1,11,1,16,1,17,1,16,1,17,2,12,1,6,1,28,4,30,1,28,2,30,1,28,2,30,1,29,1,28,1,27,1,29,1,27,1,29,3,27,3,8,1,27,1,25,3,26,1,8,1,26,1,8,1,24,1,8,1,24,1,25,1,24,1,26,1,30,1,28,10,24,1,8,2,27,1,29,1,26,1,25,2,24,1,10,1,12,1,17,4,12,1,9,1,12,1,17,3,12,3,17,2,8,1,12,1,17,3,10,1,17,16,12,1,17,1,11,2,17,6,12,1,17,4,11,3,10,1,9,1,11,1,9,1,17,1,9,1,12,1,11,1,17,1,11,1,17,2,10,1,17,2,12,2,17,1,10,1,17,3,11,2,17,1,11,1,12,1,17,1,12,1,17,2,12,1,11,1,17,2,11,1,12,1,17,2,11,2,17,1,11,1,17,1,11,1,17,9,12,1,17,1,11,2,17,1,12,1,10,1,9,1,17,1,10,1,9,1,11,1,9,1,10,1,24,3,9,1,24,1,10,1,13,1,9,1,24,1,9,2,8,1,9,2,13,1,10,2,11,1,9,1,10,1,9,1,11,1,12,1,9,1,11,3,10,1,9,1,11,2,17,1,11,2,17,1,12,2,11,1,12,1,17,2,11,2,17,2,12,4,9,1,11,1,12,1,9,1,12,1,17,1,11,1,12,1,11,2,17,1,11,3,12,2,17,1,9,1,11,1,17,1,9,1,10,1,11,1,17,3,11,1,12,1,17,2,10,1,17,2,12,1,17,3,12,2,17,1,12,1,11,1,12,2,17,1,11,1,17,1,12,1,11,1,10,1,11,1,17,1,12,2,11,1,10,1,11,2,17,2,9,1,12,1,9,1,12,1,9,1,17,4,12,2,17,1,10,1,12,3,17,1,10,1,12,2,17,7,12,1,17,7,9,1,28,3,13,1,6,1,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,1,13,1,17,4,11,1,9,1,13,1,8,3,24,1,9,2,8,1,9,1,8,1,11,1,10,2,12,1,28,5,7,1,10,1,24,1,6,2,28,1,6,1,28,2,6,1,30,1,28,21,}, {30,1,29,1,28,3,30,1,28,1,29,1,6,2,28,1,29,2,28,1,7,1,29,1,30,1,28,8,30,1,29,1,28,2,30,1,28,1,29,1,6,1,24,1,7,1,17,1,13,1,17,3,9,1,7,1,29,1,30,1,29,1,30,1,13,1,17,1,16,1,17,1,12,1,16,3,24,1,12,1,8,2,6,1,30,1,8,1,14,1,12,1,9,1,13,1,29,1,30,1,8,2,10,2,12,1,24,2,13,1,6,2,24,1,9,1,10,1,17,2,24,1,9,1,13,1,24,1,11,1,13,2,28,25,30,1,6,1,8,1,13,2,9,1,17,1,9,1,13,1,6,1,29,1,30,1,29,1,28,1,6,1,13,1,9,1,15,1,9,1,10,1,13,2,6,5,7,2,8,1,6,1,13,1,8,2,13,1,28,11,30,1,13,1,33,180,9,2,16,1,17,1,9,1,11,2,17,16,9,1,8,1,10,1,13,3,9,1,10,2,8,2,13,1,7,1,8,1,13,1,8,1,13,1,6,2,13,2,8,1,29,1,13,2,9,3,17,1,10,1,9,1,13,1,8,2,9,1,11,1,17,21,12,1,17,1,8,1,24,1,13,2,8,1,13,1,7,2,13,4,6,1,13,1,6,1,13,1,24,2,10,2,12,1,17,18,5,1,33,78,5,675,13,1,28,2,13,1,29,1,30,1,6,1,28,1,8,1,13,1,8,1,11,1,9,1,10,1,12,1,11,1,17,3,12,1,17,1,10,1,8,1,9,1,12,1,11,1,12,1,17,1,11,1,12,1,10,2,12,2,9,1,24,1,8,1,24,1,6,1,7,1,13,1,7,2,13,1,6,1,7,3,6,1,9,1,12,1,11,1,9,1,12,1,11,1,12,2,17,2,12,1,17,1,12,1,13,1,28,58,30,2,28,2,30,1,28,4,30,1,29,1,30,1,7,1,30,1,29,1,28,1,6,2,13,1,6,1,13,1,7,2,13,1,8,1,13,1,9,1,11,1,9,1,10,1,9,1,11,1,8,1,11,1,9,2,12,1,11,1,16,1,8,1,17,1,11,1,9,1,12,1,11,1,9,1,11,1,10,1,9,1,16,2,12,1,16,1,9,1,17,1,11,4,10,1,11,1,17,1,10,1,11,1,12,1,17,1,12,1,9,1,17,1,11,1,28,6,30,2,6,1,7,1,13,1,8,3,13,1,8,1,9,1,13,1,30,1,28,6,30,2,13,1,6,1,13,1,29,1,13,2,8,1,9,1,8,5,9,1,6,1,28,195,30,1,28,2,30,3,28,1,30,1,6,1,28,1,13,1,30,1,7,1,29,1,28,2,29,1,30,1,28,1,6,6,30,1,28,1,7,1,6,1,28,1,13,3,8,1,13,2,9,2,10,1,9,1,12,1,11,1,17,1,11,2,12,1,17,1,11,1,17,1,9,1,11,1,9,1,11,1,17,5,9,3,11,1,13,1,10,1,13,6,6,1,13,1,6,1,13,2,9,1,7,1,13,1,8,2,9,4,8,1,13,1,9,1,13,5,10,1,13,2,8,1,9,1,13,2,6,1,13,2,6,1,8,1,29,1,30,1,29,1,8,1,9,2,10,1,17,1,9,1,8,1,9,1,17,1,9,2,17,1,11,1,13,1,9,1,10,1,11,1,9,1,8,1,11,1,9,1,10,1,9,1,8,1,9,1,10,1,13,1,9,1,13,1,8,1,7,1,13,1,8,2,13,2,8,2,12,1,9,1,8,1,13,2,8,1,6,1,7,1,29,1,13,7,30,1,28,1,6,1,30,1,13,1,17,1,12,1,17,1,12,1,17,2,9,1,17,1,16,2,17,15,16,1,17,5,16,1,17,2,16,1,17,10,16,1,17,8,16,2,9,1,16,1,9,2,11,1,9,2,13,1,9,2,11,1,9,1,11,1,9,1,11,2,9,2,16,3,9,1,17,1,11,1,17,34,13,1,28,1,30,1,28,3,30,1,28,1,29,1,24,1,9,1,12,1,9,1,11,1,17,9,10,1,17,6,9,1,8,1,13,1,7,1,6,1,7,1,6,2,30,1,28,1,30,1,28,2,29,1,28,5,29,1,28,2,30,1,6,1,29,2,7,1,6,1,28,8,30,2,24,1,9,1,24,1,11,1,17,4,16,1,17,3,29,1,30,1,28,5,29,1,28,1,30,2,26,1,28,1,29,4,26,1,25,2,24,1,25,1,26,1,25,2,8,1,25,1,8,2,25,1,24,1,25,1,12,1,24,1,10,1,12,1,24,5,25,1,26,1,27,1,30,1,28,3,30,1,24,4,8,1,24,1,10,4,12,3,17,1,10,1,17,1,10,1,17,2,12,2,17,3,9,1,8,2,11,1,17,1,12,2,17,18,11,1,17,6,12,1,17,2,12,1,17,2,10,1,11,1,12,2,11,2,9,1,11,3,10,1,11,1,12,1,17,1,11,1,17,1,12,1,17,1,12,2,11,1,17,1,12,1,17,3,11,1,17,1,11,1,17,2,11,1,12,1,11,1,17,1,11,1,17,1,11,1,17,2,11,1,17,1,11,4,17,1,11,1,17,6,12,1,17,3,12,1,9,1,10,1,11,1,12,1,9,1,10,1,11,4,9,3,10,1,11,1,13,1,24,1,10,1,9,2,17,1,9,1,8,1,9,2,10,1,9,1,11,1,10,2,9,1,11,2,12,1,11,2,10,1,12,1,17,1,10,1,12,1,10,1,9,1,12,1,11,5,12,1,10,1,17,1,10,1,11,1,17,2,11,1,12,1,11,2,17,1,11,1,10,2,12,1,10,1,17,1,11,2,17,1,12,1,17,1,12,1,11,1,17,1,12,3,11,1,12,1,17,2,12,4,17,1,12,2,11,1,17,3,12,1,17,1,11,1,17,2,12,1,17,3,11,1,12,3,11,1,12,1,10,1,9,1,12,2,10,2,17,1,11,2,12,2,11,1,9,1,10,1,9,1,12,1,24,1,12,2,17,1,12,2,17,2,12,2,17,2,12,1,17,4,12,1,10,1,17,4,12,1,17,9,12,1,30,1,28,2,7,1,6,2,28,1,30,4,28,2,30,1,13,1,10,1,17,3,11,1,10,1,13,1,9,1,24,1,8,1,10,1,13,1,8,2,9,1,10,1,9,1,11,2,8,1,28,5,13,1,9,1,13,1,29,2,30,1,28,1,30,3,28,22,}, {7,1,29,1,28,4,6,1,28,2,7,1,30,2,28,1,30,2,29,2,28,2,30,1,28,3,30,3,6,1,28,1,29,2,28,1,6,2,29,1,13,1,9,1,13,1,17,3,9,1,8,1,6,2,30,2,8,1,16,1,17,1,11,1,16,1,12,1,17,1,15,1,12,1,10,1,24,1,13,1,8,1,7,1,24,1,17,1,11,1,9,1,13,1,6,1,29,1,6,1,8,1,9,1,12,1,13,1,24,1,8,1,6,1,7,1,13,1,8,1,13,1,9,1,17,1,16,1,11,1,8,2,9,1,12,1,24,1,13,1,28,26,6,1,8,1,13,2,9,1,12,1,8,1,6,2,30,1,6,1,30,2,7,1,9,1,24,1,12,1,8,1,9,1,8,1,6,1,30,1,13,2,29,1,13,1,30,1,24,1,13,1,8,2,13,1,15,1,9,1,30,1,28,11,13,1,5,1,33,176,5,1,33,2,9,1,16,1,17,1,11,1,9,2,11,1,17,15,9,1,11,1,9,1,7,1,8,1,13,1,8,1,10,2,13,1,9,1,17,1,8,2,9,1,13,1,9,1,8,1,6,2,7,1,13,1,6,2,9,1,24,1,9,1,17,1,10,1,8,2,7,1,8,1,9,1,10,1,17,22,10,1,12,1,8,1,13,1,6,1,24,1,29,1,6,1,30,1,28,1,30,2,28,1,30,1,29,2,7,1,6,1,7,1,6,1,8,1,24,1,10,1,12,3,17,16,16,1,5,1,33,78,5,674,28,3,6,1,30,1,6,1,7,1,28,1,13,1,7,1,8,1,10,1,9,2,17,4,12,1,17,2,12,4,11,1,17,1,12,1,10,1,11,2,10,1,12,1,9,3,24,1,13,1,7,1,29,1,7,1,6,1,7,1,13,2,7,1,13,2,8,1,9,1,12,1,9,1,10,1,11,1,10,1,12,1,11,1,17,1,12,1,17,1,10,1,30,1,28,61,30,1,28,1,30,1,29,1,30,3,28,2,6,1,29,2,7,1,6,4,13,3,7,1,13,2,9,3,11,1,9,1,11,1,9,1,12,1,17,1,9,1,12,1,11,2,9,1,11,1,10,1,9,2,16,1,9,1,17,1,9,1,16,1,10,1,11,3,9,1,17,1,11,1,9,1,17,2,16,1,17,1,11,2,12,1,17,1,10,1,11,1,12,1,9,1,12,1,11,1,9,1,13,1,28,4,6,1,30,1,7,1,13,1,8,1,13,1,8,4,9,1,8,1,9,1,8,1,6,1,28,7,30,1,6,1,7,1,6,1,13,2,7,1,8,1,9,3,10,1,13,1,17,1,28,198,30,1,28,1,29,1,6,1,7,2,13,2,30,1,6,1,28,1,6,1,30,2,6,2,30,2,6,1,7,1,28,1,6,1,30,2,6,1,30,1,13,2,6,1,7,1,9,3,10,1,11,3,12,3,10,1,9,1,12,1,9,3,13,1,8,1,29,1,9,2,17,4,9,1,17,1,9,2,13,3,8,1,7,1,13,1,8,1,6,1,8,1,13,1,7,1,8,1,6,1,13,3,6,1,13,2,9,1,13,1,24,1,13,2,8,1,9,1,8,1,13,1,8,1,7,1,13,3,8,3,13,4,7,1,13,2,30,2,6,3,13,1,30,1,13,1,12,1,10,2,12,1,9,3,11,1,9,1,10,1,9,2,11,1,8,1,13,1,9,1,8,1,10,1,9,1,13,1,9,3,8,1,13,1,24,1,8,1,9,1,8,1,11,1,10,1,8,1,17,1,8,1,10,1,9,1,7,1,13,2,6,1,29,1,13,1,6,1,29,1,7,2,13,2,28,3,29,1,28,1,17,1,16,1,11,2,17,1,12,1,17,1,16,2,17,20,16,2,17,3,16,1,17,4,16,1,17,2,16,2,17,8,16,3,11,1,9,4,8,1,9,5,11,2,16,1,9,1,11,1,16,3,17,38,16,1,17,1,24,1,28,5,30,1,29,1,7,2,24,1,10,1,9,1,11,1,17,4,16,1,17,8,9,1,28,1,29,1,30,1,29,1,6,1,30,4,28,10,30,1,28,3,30,1,28,3,6,1,13,2,7,1,28,8,30,1,8,1,13,1,8,1,13,1,11,1,17,5,12,2,6,1,30,1,28,4,30,4,28,2,30,1,27,1,29,1,25,1,29,1,27,2,25,3,24,1,8,1,25,2,24,1,25,1,24,4,10,1,17,3,10,1,12,1,24,3,25,2,29,1,27,2,28,3,25,1,24,1,12,1,10,1,17,1,12,1,24,1,12,3,24,1,17,4,12,4,17,2,10,1,17,3,8,1,12,1,17,2,12,1,17,16,12,1,17,1,10,1,12,1,17,12,12,1,17,1,9,1,11,1,17,1,10,1,12,1,17,1,11,1,10,1,12,3,10,1,12,2,11,1,17,1,12,2,17,1,12,1,17,2,12,1,17,1,12,1,17,3,11,1,17,4,11,4,17,1,12,1,11,1,17,3,12,1,17,4,12,1,17,2,12,2,17,4,10,2,11,1,9,2,10,1,11,1,10,1,11,1,9,4,8,2,10,1,9,1,8,1,9,1,24,3,10,2,9,2,10,2,11,1,12,1,11,1,17,1,9,1,10,1,11,2,10,1,9,1,12,1,10,1,11,3,12,1,11,1,17,2,11,2,10,1,11,1,12,1,17,1,11,1,17,1,11,1,10,1,17,1,11,1,12,1,17,1,12,1,17,1,10,1,11,3,12,2,11,2,10,1,12,2,11,1,17,1,9,1,17,1,12,1,10,1,17,1,11,3,12,1,10,1,17,3,11,1,17,7,12,1,17,5,11,1,17,1,12,2,17,1,11,2,12,1,10,1,12,1,11,3,10,1,11,2,17,1,9,1,11,2,10,3,9,1,17,6,12,1,17,1,12,4,17,1,11,1,10,1,17,15,10,1,28,3,30,1,7,1,29,1,30,1,28,2,30,1,29,1,28,2,30,1,13,1,11,1,16,1,11,1,12,1,11,1,10,1,24,1,10,1,8,2,24,2,9,1,12,1,8,1,9,4,13,1,28,5,6,1,17,1,8,1,29,2,30,1,28,26,}, {6,1,28,6,13,1,30,2,6,1,29,1,28,1,6,1,28,1,30,1,29,1,28,7,6,2,30,1,7,1,29,1,30,1,28,1,30,1,13,1,7,1,9,1,8,1,9,1,17,2,14,1,16,1,13,1,6,1,29,1,6,1,30,1,29,1,17,2,11,1,12,1,9,1,16,1,10,1,15,2,8,1,6,3,24,1,17,2,8,2,13,1,30,1,6,1,8,1,10,1,9,2,13,1,15,1,6,1,7,1,13,1,29,1,8,1,9,1,17,1,16,1,13,1,8,1,24,1,9,1,10,1,24,1,6,2,28,12,30,1,28,9,30,1,28,2,29,1,7,1,24,1,7,1,24,1,17,1,15,1,7,1,30,1,6,1,28,2,29,2,12,1,24,2,8,1,24,2,13,1,6,3,7,1,6,1,7,1,13,1,8,3,24,1,12,1,8,1,28,11,30,1,9,1,33,177,5,1,33,1,13,1,9,1,17,1,11,3,10,1,17,12,16,1,11,1,9,2,10,1,9,1,8,2,6,1,8,2,9,1,13,1,8,3,13,3,6,1,29,1,7,1,8,1,13,1,30,1,7,1,13,1,24,1,10,1,9,1,24,2,8,1,6,1,8,1,24,1,13,1,8,1,17,22,9,1,24,1,8,1,6,3,29,1,28,1,30,1,28,6,30,4,29,2,7,1,8,2,24,1,12,1,17,1,12,1,17,16,5,1,33,79,5,673,28,3,13,1,28,1,6,2,30,1,13,2,9,1,8,1,24,1,10,1,12,2,17,1,12,1,17,3,9,1,17,1,11,1,17,1,11,1,12,1,17,2,8,1,11,1,9,2,11,1,8,1,9,1,24,1,7,1,13,1,7,1,6,2,13,1,6,2,13,1,29,1,13,1,8,1,9,1,13,1,9,1,10,1,11,2,12,1,9,1,17,1,10,1,8,1,28,56,6,1,28,3,30,1,29,1,28,1,29,1,30,1,28,4,8,1,6,2,30,1,6,2,29,1,6,1,13,2,28,1,13,2,8,1,9,1,10,1,13,1,9,1,8,1,9,1,10,1,8,1,12,1,11,1,9,1,11,3,12,1,17,1,11,1,9,1,10,1,11,1,8,1,11,1,9,2,11,1,9,1,11,3,16,1,11,2,16,1,11,1,16,1,11,2,16,1,12,1,17,1,11,1,9,1,11,2,17,1,11,1,17,1,10,2,11,2,28,4,6,1,30,1,6,1,13,2,9,1,8,1,13,1,8,1,10,1,8,1,9,3,11,1,6,1,30,1,28,7,30,1,7,1,6,1,13,3,8,1,9,4,6,1,28,196,30,1,7,1,6,1,28,1,29,1,7,1,8,1,30,1,28,1,6,3,29,1,30,2,29,1,6,1,30,2,6,1,29,1,30,1,6,1,30,1,6,2,13,3,8,1,9,2,12,1,9,2,11,1,17,1,11,1,17,1,11,2,12,1,11,1,9,1,11,1,13,1,6,2,28,3,7,1,9,1,17,1,12,1,17,1,12,1,10,1,9,1,17,1,9,1,8,1,13,2,7,1,13,2,9,1,13,2,7,1,8,1,7,1,6,1,7,1,13,1,30,1,13,1,30,1,8,1,7,1,8,2,13,2,8,1,6,1,13,4,30,1,8,1,9,1,13,1,8,1,13,2,9,1,13,1,8,1,7,1,6,1,28,2,13,1,6,1,7,1,28,1,29,1,6,1,7,1,10,1,9,1,10,1,11,1,13,1,11,1,13,1,9,3,10,1,9,1,11,1,9,1,11,1,8,2,9,2,11,2,9,1,8,2,13,2,9,2,8,1,10,1,8,1,9,2,11,1,10,2,7,1,8,1,13,1,8,1,13,1,9,1,13,3,6,1,29,1,28,4,13,1,11,1,12,1,11,1,17,1,10,1,12,1,17,2,16,2,17,2,16,1,17,10,16,1,17,4,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,6,16,1,17,1,16,1,17,5,16,3,9,1,16,1,9,1,8,1,13,1,9,3,11,1,9,1,16,6,17,45,13,1,28,4,29,1,30,1,6,2,8,1,9,1,10,2,9,1,17,9,9,1,28,3,30,1,28,1,29,2,30,1,29,1,30,1,28,1,30,3,28,2,30,1,28,12,29,1,30,1,6,2,8,1,24,1,7,1,28,8,29,1,7,1,6,1,13,1,24,1,12,1,17,4,10,2,28,9,30,1,28,1,30,1,29,1,30,1,6,1,27,1,25,2,26,1,25,1,24,1,25,2,24,2,25,1,8,1,24,2,25,1,24,1,10,1,24,1,12,1,17,1,12,1,17,1,10,1,24,1,12,1,25,1,26,1,25,1,6,1,27,1,26,1,6,1,25,1,24,3,12,1,17,3,12,2,24,1,12,1,10,1,12,1,17,1,12,1,17,2,10,1,12,1,10,1,12,1,17,1,12,2,17,1,12,1,17,24,12,1,17,1,12,1,17,5,12,1,17,2,11,2,12,1,11,1,10,1,11,1,17,1,12,1,9,1,12,2,17,1,10,1,12,2,11,1,12,1,11,1,12,3,17,2,12,1,17,2,12,1,17,1,11,1,12,1,17,1,11,1,12,1,17,1,12,1,17,2,11,1,17,1,12,1,17,2,11,1,17,2,11,1,17,4,11,1,17,4,12,1,17,3,11,1,10,1,12,1,10,1,11,1,9,1,11,4,10,1,11,1,9,1,8,1,9,2,8,1,9,1,12,1,9,1,10,1,8,1,9,1,24,1,9,1,8,1,10,2,9,1,11,1,9,1,10,1,11,1,10,1,12,1,11,1,10,1,9,1,12,1,11,2,12,2,10,1,12,1,9,1,12,1,17,1,11,1,12,1,10,1,12,3,17,2,11,1,17,1,11,3,17,1,11,1,10,1,11,1,10,1,12,4,17,1,10,2,17,1,12,1,11,1,12,1,17,2,12,2,17,1,11,1,12,2,17,2,10,1,17,5,12,1,17,2,12,1,17,1,11,1,17,1,11,1,17,1,11,1,17,3,12,1,17,1,11,2,17,1,10,2,11,2,12,1,17,1,12,2,11,1,17,1,9,1,10,1,8,1,12,2,8,1,9,1,8,1,17,1,12,1,17,4,12,2,17,3,12,2,17,1,12,1,17,14,12,1,10,1,28,3,6,1,30,3,28,2,30,1,29,1,6,1,30,1,28,1,13,1,9,1,10,1,17,1,11,3,9,2,11,1,8,1,9,1,8,2,13,1,9,3,16,1,10,1,8,1,28,5,8,1,17,1,13,1,29,2,6,2,28,2,30,1,28,22,}, {30,1,13,1,28,4,30,3,29,2,30,1,6,3,29,1,30,1,28,1,13,1,28,2,30,1,28,2,6,1,28,1,30,4,28,1,29,1,8,2,13,1,9,2,17,1,16,1,14,2,24,1,13,2,6,1,29,1,13,1,17,2,11,1,16,1,17,1,11,1,17,1,11,1,9,1,8,1,7,1,6,2,9,1,17,1,8,1,13,2,6,2,8,1,6,1,24,2,9,1,7,1,8,1,7,1,6,1,13,1,6,1,24,1,13,1,17,1,10,1,17,1,13,1,9,1,8,2,9,1,8,1,28,2,30,1,28,10,30,1,28,12,30,1,8,1,13,2,24,1,10,1,11,1,8,1,28,1,30,1,6,1,30,1,28,1,13,1,12,2,14,1,15,1,24,1,8,2,7,1,6,1,7,1,6,1,29,1,6,1,30,1,8,2,9,1,8,1,10,1,9,1,28,11,30,1,9,1,33,178,9,1,13,1,11,1,16,1,17,1,16,1,9,1,16,1,17,12,9,1,11,1,13,1,10,1,9,1,13,1,8,1,13,2,7,1,8,1,13,3,7,1,13,1,8,1,13,3,8,3,6,2,13,1,10,1,8,3,9,1,8,1,24,1,8,2,24,1,9,1,17,20,12,1,8,2,13,2,30,1,6,1,29,2,28,11,30,1,28,1,6,2,26,1,29,1,24,2,9,1,24,1,12,2,17,15,5,1,33,80,5,672,28,2,6,2,28,1,6,1,30,2,7,2,24,1,9,3,12,1,17,1,12,1,17,1,12,1,17,3,12,2,10,1,12,6,10,3,9,3,13,1,6,1,7,1,29,1,6,2,7,3,6,1,9,2,17,1,9,1,11,1,10,1,9,1,10,1,11,1,17,1,10,1,28,57,30,1,28,1,30,1,28,1,30,1,28,3,30,2,6,1,29,2,6,1,13,1,28,1,6,1,13,1,8,1,13,2,6,2,13,2,9,1,8,1,9,1,8,1,13,1,9,6,11,1,12,1,17,1,10,3,13,1,11,1,9,1,16,1,10,1,9,1,11,1,9,1,11,1,10,1,9,3,11,1,10,2,16,1,10,1,11,1,16,1,11,1,10,1,16,1,11,1,9,1,17,1,11,1,17,1,12,2,16,1,11,1,9,1,11,2,9,2,11,1,13,1,28,5,7,1,13,2,9,1,13,1,9,1,8,3,9,1,8,2,10,1,11,1,9,1,6,1,28,8,30,2,7,1,8,1,11,1,9,1,12,1,9,2,28,195,30,1,13,1,30,1,7,1,28,1,13,1,8,1,13,1,6,1,28,1,30,1,7,1,30,1,29,1,6,1,29,1,6,1,30,1,6,1,29,1,7,1,6,2,30,2,13,1,6,1,9,1,13,1,9,2,10,1,9,1,10,2,9,1,8,1,9,1,13,1,8,1,9,3,11,1,9,1,13,1,30,1,6,1,28,4,30,1,29,1,13,1,11,2,17,1,11,2,10,1,8,2,9,1,13,1,9,2,7,1,13,2,6,1,7,2,6,1,7,1,30,1,29,1,30,1,13,4,7,1,6,1,13,1,8,1,6,1,8,1,13,2,8,1,9,1,8,1,13,1,6,2,8,1,13,3,6,1,7,1,13,1,6,1,13,2,9,1,13,1,8,1,13,1,6,3,13,1,29,1,6,1,7,1,9,3,8,1,9,1,8,1,13,2,9,2,13,1,11,1,13,1,10,1,9,1,8,1,9,1,11,1,10,1,13,1,9,1,13,1,11,1,9,1,13,1,11,1,13,1,8,1,9,1,13,1,8,1,9,4,13,1,9,2,13,1,8,1,6,1,13,1,28,3,30,2,9,1,11,1,17,1,9,1,17,1,12,1,17,22,16,1,17,3,16,4,11,1,17,1,16,1,17,10,16,3,9,1,11,1,9,2,13,1,9,5,16,1,9,1,16,1,17,22,16,3,11,1,17,24,13,1,30,1,28,1,30,1,29,1,28,1,6,1,30,1,7,2,8,2,9,2,17,7,24,1,30,1,13,1,29,1,13,1,7,1,30,1,29,2,30,1,29,1,28,1,30,1,29,1,30,1,28,1,30,1,28,15,30,2,29,1,8,2,13,1,24,1,7,1,28,7,30,1,6,1,30,1,6,1,13,1,8,1,17,1,9,1,17,3,10,1,29,1,30,1,28,5,30,4,28,1,26,1,30,1,6,1,25,1,6,1,8,1,26,2,25,2,8,1,27,1,24,1,25,1,24,4,10,1,12,1,17,1,12,1,17,1,12,1,17,1,12,2,10,1,24,1,8,1,6,2,8,1,6,1,26,2,28,3,6,1,12,1,17,1,10,1,17,1,12,3,17,2,10,1,12,3,10,1,12,1,17,1,12,2,17,1,10,1,12,1,9,1,17,25,12,2,17,5,12,2,11,1,17,1,12,2,11,2,12,1,11,1,12,1,11,1,12,1,11,2,9,1,12,2,17,1,11,1,12,1,17,1,12,2,17,3,11,1,17,1,11,1,17,1,12,3,17,2,12,1,11,1,9,1,17,1,11,1,17,1,11,1,17,5,11,1,17,4,12,1,17,3,12,1,17,1,10,1,11,1,17,2,9,1,11,1,10,1,11,2,10,1,11,1,12,1,11,3,24,1,11,1,9,2,10,1,9,2,12,1,24,1,10,1,9,1,10,1,12,1,11,1,12,3,11,1,12,1,11,1,12,1,11,2,10,1,11,1,10,2,11,1,12,1,17,1,11,1,12,1,11,3,12,1,11,3,12,1,11,1,12,1,11,1,17,3,11,1,17,2,11,2,12,1,17,1,11,1,12,1,11,1,17,1,11,1,9,1,17,2,12,1,17,2,11,2,12,1,17,2,10,1,17,1,12,1,17,1,11,1,17,1,12,1,17,5,12,1,17,4,11,1,17,1,12,1,17,2,12,1,11,1,12,1,17,1,12,1,17,1,12,1,10,2,12,1,17,1,11,1,12,1,10,1,12,1,10,3,11,1,10,2,24,2,9,2,10,1,17,1,12,3,10,1,17,2,12,1,17,1,10,3,12,1,17,17,11,1,28,2,6,1,30,1,6,1,30,2,28,1,6,1,28,1,29,2,28,2,8,1,17,2,11,1,12,2,9,1,12,1,11,1,9,4,8,1,24,1,7,1,9,1,17,2,12,1,8,1,28,5,6,1,17,1,13,1,29,1,6,1,7,1,30,3,28,23,}, {30,1,13,1,28,5,6,2,13,1,6,1,13,1,6,1,30,1,8,1,28,1,30,1,6,1,30,1,29,1,28,2,30,1,28,4,6,4,29,1,13,1,11,1,24,1,9,1,24,1,12,1,16,1,17,1,10,1,13,2,29,1,13,1,30,1,9,1,16,1,17,1,12,1,10,1,11,1,16,1,17,1,8,1,12,1,6,1,7,1,29,1,6,1,24,1,17,1,11,1,13,1,7,1,13,1,7,2,13,1,24,1,11,1,13,1,24,1,7,1,13,1,8,1,6,1,8,1,24,1,10,1,17,2,11,1,13,2,9,1,24,1,9,1,13,2,28,8,29,1,28,3,30,1,28,11,30,1,6,1,13,1,7,1,8,1,9,1,12,1,14,1,13,1,7,1,29,1,28,1,7,1,28,2,9,1,17,2,10,1,9,1,24,1,13,2,6,1,13,1,30,1,13,1,28,1,6,1,24,1,8,1,9,1,8,1,12,1,8,1,29,1,28,10,30,1,13,1,33,177,30,1,13,2,16,2,11,1,9,1,11,1,10,1,17,11,8,2,6,1,29,1,13,1,8,1,13,1,24,1,13,1,24,1,6,1,24,1,8,1,13,4,8,1,13,2,9,1,8,1,9,1,13,2,10,1,9,1,17,1,9,2,8,1,24,1,9,2,8,2,9,1,17,18,12,1,17,1,12,1,11,1,9,1,8,1,7,2,29,1,28,14,30,2,29,1,30,1,6,1,8,3,24,1,10,1,24,1,12,1,17,1,12,1,17,13,5,2,33,80,5,671,28,2,30,1,28,1,13,1,30,1,28,1,30,1,13,3,24,1,9,2,12,1,11,2,17,1,12,1,17,2,11,1,12,1,9,1,11,1,9,1,11,1,10,1,9,2,12,1,10,2,17,1,9,4,7,1,13,3,6,1,13,1,7,1,13,2,12,1,9,1,17,6,9,1,28,58,30,2,29,1,6,4,30,1,13,1,6,1,29,1,6,1,29,1,6,1,30,1,13,1,6,1,13,1,7,1,13,1,6,2,13,1,6,1,13,2,8,2,9,2,13,1,9,4,11,1,9,2,11,1,9,1,17,1,11,3,9,1,17,1,11,1,16,1,11,1,9,2,8,1,9,1,10,1,11,2,10,1,11,1,10,1,11,1,9,1,10,1,9,1,17,1,9,1,16,1,11,3,12,1,17,1,9,1,12,1,11,1,17,1,11,4,10,1,11,3,13,1,28,5,6,1,9,1,8,1,9,1,13,1,9,1,8,1,9,3,10,1,11,3,17,1,13,1,6,2,28,3,6,2,8,2,9,1,8,1,11,1,10,1,11,1,17,1,28,193,30,2,28,1,13,1,28,2,6,1,7,1,13,1,30,2,6,3,29,1,6,1,13,1,28,1,6,2,7,1,28,1,13,1,7,1,13,1,7,1,13,3,8,1,13,2,8,1,9,1,6,1,13,4,9,1,13,2,8,1,13,3,30,2,6,1,28,2,30,1,28,3,29,1,13,1,11,1,17,1,9,2,11,1,10,1,11,1,8,1,13,4,7,1,13,2,6,2,29,1,6,1,8,1,30,3,28,1,9,1,30,1,6,2,30,3,7,1,6,1,7,1,13,2,6,1,13,1,6,1,8,1,6,1,13,1,9,2,13,1,8,1,9,1,13,1,7,1,8,1,13,3,8,1,13,1,9,1,29,2,6,2,30,1,13,1,6,1,7,1,13,1,7,1,13,1,9,4,11,1,8,1,13,1,9,1,11,1,12,1,11,1,10,1,9,1,10,1,9,1,11,1,13,1,9,2,8,1,10,1,13,1,12,1,8,1,9,2,13,1,9,3,8,1,10,1,8,1,9,1,13,1,6,1,29,1,28,2,30,1,29,1,30,1,6,1,10,1,17,2,9,1,11,1,12,1,17,6,16,1,17,11,16,1,17,7,11,1,16,1,11,1,16,1,17,6,16,2,17,2,11,1,16,2,9,2,11,1,9,2,13,1,9,1,16,1,9,2,16,2,17,53,7,1,30,1,28,1,29,1,6,1,29,1,30,2,13,2,9,1,8,1,9,2,17,5,9,1,6,1,7,1,6,2,30,1,6,1,30,2,28,1,27,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,30,1,28,14,30,1,28,1,29,1,6,1,7,1,13,1,8,2,24,1,30,1,28,7,29,1,30,3,29,1,24,1,9,1,8,1,17,1,12,1,9,1,6,1,29,1,28,5,30,1,28,1,29,1,28,1,29,3,30,1,26,1,25,1,26,1,27,1,25,1,24,1,6,1,25,1,24,2,25,1,24,1,25,1,24,6,12,1,17,3,10,1,12,1,17,1,12,1,10,1,8,1,6,1,7,1,6,1,25,1,8,1,13,1,29,1,13,1,12,2,24,1,12,1,17,1,10,1,12,1,17,1,12,1,9,2,12,1,10,1,17,1,12,2,17,1,12,3,10,1,12,1,17,13,16,1,17,10,12,1,11,1,17,12,12,2,17,1,11,1,12,1,11,1,12,1,11,1,17,1,11,1,12,1,17,1,12,2,17,1,11,1,17,1,11,1,17,3,11,1,17,1,10,1,12,1,17,1,11,1,17,1,12,2,17,3,12,1,17,1,12,1,17,2,12,1,17,4,12,1,17,2,11,1,17,8,12,1,11,1,12,1,11,2,12,1,11,1,12,1,17,1,10,2,9,2,11,1,9,1,24,1,9,2,12,1,11,1,10,1,11,1,9,1,12,1,10,1,9,1,12,1,10,2,9,2,12,1,9,2,11,1,12,1,10,1,12,2,10,2,12,2,11,2,10,1,11,1,17,1,11,4,12,2,17,1,12,1,17,1,11,1,17,1,12,1,11,1,17,1,11,1,12,1,17,1,11,1,10,1,11,2,17,1,11,1,17,1,12,1,11,2,17,1,12,1,17,1,12,1,17,1,12,1,17,1,10,1,17,5,11,1,17,6,11,1,17,10,11,1,12,2,10,1,12,1,11,1,12,1,11,1,10,1,9,2,11,1,10,1,12,1,11,1,12,1,11,1,9,2,10,1,8,1,10,2,17,1,12,1,17,1,12,1,17,1,12,2,17,1,12,5,17,2,10,1,17,15,8,1,30,1,28,1,6,1,13,1,29,1,28,6,6,1,28,2,13,1,17,2,12,1,17,2,11,1,12,1,11,2,9,2,8,2,11,1,9,1,8,1,9,1,16,1,17,1,8,1,28,5,13,1,9,1,8,1,6,1,28,1,29,1,30,1,28,25,}, {28,1,30,1,28,5,6,1,28,1,29,1,13,1,6,1,13,1,6,1,30,1,6,1,29,1,28,4,30,1,28,6,6,2,29,1,6,2,8,1,12,1,24,1,12,1,17,1,12,1,16,2,13,1,6,1,13,3,8,1,17,2,16,4,11,1,9,1,8,1,13,1,6,1,8,1,6,1,8,1,12,1,10,1,7,1,6,1,7,1,6,1,13,1,8,1,10,2,8,1,24,2,13,1,7,1,6,1,8,1,13,1,24,1,17,2,10,1,9,2,24,1,9,1,24,1,13,1,30,1,28,1,29,1,28,7,30,1,28,14,30,1,7,1,6,1,8,2,9,1,17,1,14,1,13,1,29,1,30,3,28,1,7,1,9,1,15,1,12,1,9,3,7,1,8,1,30,1,7,1,6,4,24,1,7,1,24,1,9,1,24,1,9,1,28,2,30,1,28,9,8,1,33,1,5,1,33,175,13,1,11,1,9,2,17,1,11,1,17,12,16,1,8,1,6,1,13,1,6,1,30,1,6,1,8,2,13,2,8,2,9,1,8,2,11,1,13,2,8,1,13,1,9,1,24,1,13,1,12,2,17,1,12,1,10,1,12,2,8,1,11,1,13,1,24,1,13,1,8,1,12,2,17,17,11,1,12,1,9,1,13,2,6,1,7,1,29,1,28,16,30,3,29,1,6,2,7,1,8,2,10,1,24,1,17,17,5,1,33,81,5,669,9,1,28,4,13,2,28,1,7,1,8,1,13,1,24,2,13,1,9,1,11,1,17,9,10,1,17,3,10,1,11,1,17,1,11,2,8,1,13,1,8,1,6,1,8,1,13,1,7,1,6,2,13,1,6,2,7,1,9,1,17,5,9,1,29,2,28,57,29,1,28,3,30,1,28,1,30,1,28,1,6,2,29,2,6,1,30,1,7,1,6,1,13,8,8,2,9,2,8,1,9,1,13,1,10,1,9,2,12,1,10,1,9,1,8,1,9,1,11,1,9,1,12,1,11,2,9,1,12,1,11,2,9,1,17,1,9,1,11,1,8,1,16,1,11,1,9,3,10,2,9,2,11,3,9,1,10,1,12,2,17,1,11,7,17,1,16,1,12,1,9,1,10,1,11,1,10,1,9,1,11,1,9,1,8,1,30,1,28,4,13,1,10,1,9,3,8,1,9,1,11,1,9,1,11,1,9,2,10,1,9,1,11,1,12,1,17,2,11,1,10,1,9,1,13,2,10,1,8,1,9,2,10,1,17,1,28,191,30,1,28,1,30,1,29,1,30,2,6,1,29,1,13,2,6,1,30,1,13,1,30,1,28,1,6,1,30,2,13,1,29,1,13,1,6,1,7,2,6,1,13,1,8,5,9,1,13,2,9,1,13,1,8,2,13,6,6,1,28,12,30,2,11,4,12,1,10,1,9,1,10,1,8,2,13,3,6,4,29,1,6,1,30,1,6,1,30,1,6,1,30,1,17,1,30,1,13,1,6,2,30,1,13,2,30,1,13,1,6,1,13,1,6,1,9,1,13,5,8,2,9,1,13,2,8,2,13,2,8,2,13,1,9,1,13,1,9,1,7,1,13,3,30,1,7,1,30,1,6,3,13,1,7,1,9,3,13,1,9,2,13,1,9,1,11,1,9,2,12,1,9,2,8,1,7,1,8,1,9,1,10,1,11,1,9,1,11,1,9,2,8,1,9,1,11,1,13,1,8,1,13,1,9,1,13,1,7,1,28,4,6,1,13,1,12,1,17,3,12,1,16,1,17,6,16,1,17,10,16,2,17,1,16,1,17,3,16,4,11,1,16,1,17,1,16,1,17,3,16,1,17,1,16,3,11,3,9,2,8,1,9,2,11,1,9,1,11,2,16,3,17,54,8,1,30,1,28,1,6,1,13,1,6,1,28,2,7,1,8,3,9,1,17,5,9,1,29,1,25,1,6,1,29,2,30,1,6,1,30,1,29,1,28,1,30,1,28,1,30,2,28,3,29,1,28,5,30,1,28,11,29,2,7,3,6,1,8,1,6,1,28,11,30,2,9,1,12,1,8,1,10,1,24,1,6,1,30,1,28,6,29,1,30,2,29,1,26,1,6,1,25,1,27,2,25,5,27,1,8,1,25,1,8,1,25,3,8,1,26,1,25,2,7,1,6,3,12,1,17,3,10,1,17,1,24,1,8,1,7,1,6,1,29,1,13,1,8,1,24,1,12,2,17,1,24,1,17,1,12,1,17,1,12,1,17,1,12,7,17,1,12,4,9,1,12,1,11,1,17,21,11,1,17,10,12,2,11,1,17,2,12,1,17,1,11,1,9,1,17,1,11,1,12,1,10,1,12,1,11,2,12,2,11,1,12,1,11,1,17,1,11,1,17,2,12,2,17,1,11,1,10,1,12,1,11,1,17,1,12,2,17,1,12,1,17,1,11,1,17,1,11,2,17,2,11,1,17,1,12,1,17,2,12,1,17,2,12,1,17,5,11,2,9,2,17,1,10,1,11,2,9,1,11,1,9,1,10,1,17,1,10,1,11,2,10,1,12,1,10,1,11,1,9,1,11,3,24,1,11,1,12,1,10,1,11,2,12,1,10,1,12,1,11,1,10,1,11,2,17,1,9,1,12,1,17,1,10,2,11,2,10,1,12,2,10,1,12,1,10,1,12,1,11,2,17,1,11,2,12,3,17,1,12,3,17,1,12,1,10,1,12,1,9,1,12,1,10,1,12,1,11,1,17,2,12,1,11,1,17,4,12,1,11,1,17,1,10,1,17,1,10,1,17,1,12,1,17,11,12,2,9,1,17,3,12,1,17,1,10,3,12,3,11,2,10,1,11,1,10,1,11,1,9,3,10,1,11,1,9,1,10,1,9,1,12,1,13,1,17,1,12,1,17,2,9,1,17,1,12,1,17,1,10,1,17,1,24,1,12,2,17,1,10,1,12,1,17,6,12,1,17,8,11,1,9,1,28,5,30,1,28,3,30,1,28,1,30,1,28,1,30,1,9,1,17,4,11,1,10,1,12,1,16,1,9,4,8,1,11,1,9,2,16,1,12,1,9,1,13,1,28,5,9,2,13,1,6,1,28,1,6,1,28,26,}, {13,1,28,1,30,1,28,4,6,1,30,1,7,1,13,1,28,1,13,1,28,1,30,1,28,2,30,1,29,1,28,4,30,1,28,3,30,1,29,1,7,1,30,2,13,1,9,1,10,2,9,1,12,1,10,1,17,1,11,1,8,1,13,2,6,1,7,1,8,1,16,1,17,2,10,1,9,1,16,1,9,2,8,1,13,1,6,2,29,1,6,1,17,1,16,1,13,1,6,1,13,1,30,1,29,1,8,1,9,1,10,1,12,1,7,1,8,1,7,1,6,2,13,1,7,1,9,2,17,1,9,2,13,1,8,3,24,1,7,1,30,1,28,24,6,1,13,1,24,1,9,1,10,1,15,1,14,1,13,1,29,1,6,1,29,1,30,1,29,2,15,2,12,1,15,1,8,1,24,1,8,2,13,2,30,2,6,1,30,1,8,1,24,1,9,1,24,2,9,1,30,1,28,10,30,1,13,2,33,175,13,2,9,2,11,1,16,1,11,1,17,11,11,1,13,1,6,1,13,2,7,1,13,2,7,1,13,1,8,1,13,1,24,2,13,1,10,1,9,1,13,2,7,1,13,1,10,1,9,1,12,1,17,6,12,1,9,1,8,1,24,2,12,1,8,1,11,2,12,2,17,15,12,1,9,1,12,1,13,2,6,2,7,1,28,20,6,1,29,1,7,2,13,2,24,2,17,1,10,1,12,2,17,13,5,2,33,81,5,668,6,1,28,2,30,2,13,1,7,1,30,1,6,1,13,1,6,2,8,1,9,1,17,1,9,1,8,1,13,2,6,1,28,3,30,3,28,6,6,1,17,6,12,2,17,1,12,1,10,1,9,2,12,1,8,1,11,1,9,1,13,1,28,61,30,1,6,1,30,2,28,2,29,1,6,3,8,1,29,1,13,5,30,1,8,1,24,1,13,1,9,1,8,1,9,1,8,2,9,1,13,1,8,2,11,1,9,1,10,2,11,1,13,1,8,1,17,1,10,1,16,2,9,1,11,2,17,2,9,1,10,1,9,1,17,1,9,1,17,1,11,3,9,1,12,1,10,2,11,3,9,1,11,2,9,2,11,4,16,1,17,1,11,1,16,1,11,3,16,1,11,1,9,1,16,1,11,1,9,1,10,1,11,1,10,1,9,2,10,1,13,1,28,3,6,1,8,1,9,1,8,1,9,5,11,1,9,1,11,1,10,1,11,1,9,2,10,1,8,1,9,2,11,1,10,1,8,1,9,4,12,1,17,1,13,1,28,190,6,1,28,3,30,3,6,1,11,1,13,1,7,1,28,1,6,1,30,1,29,1,6,3,28,1,6,1,30,1,6,1,30,1,13,1,9,1,7,1,8,2,13,2,8,4,7,1,13,1,9,1,13,5,6,1,29,1,28,1,30,1,28,10,30,1,28,1,13,1,8,1,11,1,9,1,11,1,10,1,8,1,9,1,11,1,8,3,13,1,7,1,30,1,6,2,30,1,28,1,6,2,7,1,30,1,29,1,28,1,11,1,6,4,13,1,6,2,13,3,6,1,10,1,13,1,6,1,8,2,13,1,9,1,13,6,8,1,9,1,13,2,9,1,13,3,30,1,13,4,29,1,7,1,29,1,13,1,7,1,6,1,30,1,28,3,6,1,8,4,10,1,9,1,13,2,8,1,13,1,9,1,12,1,13,1,10,1,13,1,8,1,11,1,9,1,11,2,9,1,13,1,9,1,11,1,13,3,9,1,8,1,30,1,28,1,30,1,28,1,29,1,13,1,9,1,24,1,12,1,17,1,11,2,9,1,11,1,16,1,17,13,16,2,17,2,16,1,17,2,16,1,17,2,16,4,17,4,16,5,11,5,9,4,13,1,9,1,16,4,17,4,16,2,17,23,16,1,17,10,16,1,17,4,16,1,17,10,6,1,28,1,30,1,28,1,13,1,6,1,30,3,8,3,12,1,17,3,10,1,8,1,7,1,29,3,27,1,29,1,6,1,29,1,28,1,30,1,28,1,29,2,28,3,30,1,28,16,30,1,28,3,30,1,7,5,8,1,29,1,28,10,6,1,12,1,17,1,12,1,24,1,10,1,8,1,7,1,29,1,28,8,30,1,27,1,28,1,29,1,26,1,25,1,8,1,26,2,6,2,8,2,25,1,26,1,25,1,27,1,25,1,26,1,27,1,29,1,26,1,27,1,6,1,28,4,6,1,12,1,17,3,12,2,13,1,8,1,7,1,24,2,10,1,17,2,12,1,17,6,12,5,24,1,17,2,12,1,17,3,12,1,24,1,9,1,17,18,12,1,17,4,11,2,17,2,11,1,17,3,12,1,17,2,11,3,12,1,17,2,11,1,12,2,17,2,11,1,17,1,12,1,17,2,12,1,11,1,12,1,17,2,12,1,17,1,12,1,17,1,11,1,12,1,11,1,17,1,11,2,17,1,9,1,17,3,12,2,11,1,17,1,12,2,17,2,12,1,17,2,12,2,17,1,12,1,11,1,17,2,11,2,12,2,9,1,12,1,10,1,11,1,9,1,8,1,24,1,9,1,12,1,9,1,11,3,24,1,11,2,9,1,10,3,9,1,10,2,9,1,12,2,11,1,17,2,12,1,11,1,12,1,17,1,12,2,10,1,9,1,12,1,11,1,10,1,12,1,11,1,12,2,11,1,12,1,11,3,17,2,11,1,12,1,11,2,17,1,11,1,17,1,12,2,17,1,9,1,17,1,11,1,12,1,17,1,12,1,11,1,17,1,12,1,17,2,12,1,11,1,12,1,17,5,11,1,17,10,11,1,17,1,12,1,11,1,12,1,11,1,17,2,12,2,17,1,12,1,17,1,11,2,10,1,12,1,10,1,12,2,11,1,9,1,11,1,12,1,10,1,12,1,11,1,12,2,10,1,12,1,10,1,9,1,10,1,8,1,10,2,12,3,17,2,12,2,17,1,10,1,17,1,10,1,12,2,17,1,12,1,17,1,12,1,17,14,9,1,11,1,28,7,29,1,30,1,28,2,30,2,28,1,11,3,16,1,11,1,16,1,11,1,12,1,16,1,17,1,16,1,9,2,8,1,13,2,9,1,13,1,10,1,17,1,13,1,28,5,8,1,9,1,29,1,6,1,29,2,28,26,}, {6,2,28,4,8,1,29,1,28,1,13,1,7,1,6,3,13,1,29,1,6,1,29,1,28,2,30,1,28,7,6,1,29,1,6,1,28,1,13,1,9,3,24,1,10,1,17,1,16,1,9,2,13,2,8,2,13,1,14,1,17,1,12,1,10,1,9,1,16,1,11,1,9,1,10,1,6,1,13,1,7,1,6,1,8,1,17,1,9,2,30,1,6,1,13,1,6,2,9,1,17,1,8,2,13,2,7,1,29,1,6,1,13,1,10,1,12,1,17,1,11,1,8,1,6,1,7,1,13,1,9,1,7,2,28,11,30,1,28,13,7,2,8,1,7,1,8,1,14,1,9,1,13,1,29,1,28,1,30,1,6,1,29,1,13,1,9,1,15,2,9,1,12,1,8,1,7,1,6,1,13,1,30,1,13,1,29,1,13,1,6,1,8,1,24,1,10,1,24,3,29,1,28,6,30,1,28,4,9,1,13,1,33,175,13,1,9,2,11,1,16,3,17,9,10,1,9,1,10,1,8,2,7,2,6,1,30,1,7,1,13,1,8,2,10,1,8,2,10,1,17,1,9,3,11,1,17,8,12,2,10,1,9,3,8,1,17,3,9,1,17,1,12,1,17,13,12,2,10,1,24,2,8,1,29,1,6,1,28,20,30,2,6,3,26,1,8,1,24,2,10,1,9,1,12,4,17,1,12,3,17,9,5,1,33,81,5,668,28,5,7,1,6,2,13,1,6,1,8,1,13,1,30,1,28,23,30,1,28,1,29,1,30,1,29,1,28,2,30,3,28,63,30,3,29,1,30,1,7,1,6,1,29,1,7,2,29,1,7,1,8,1,13,3,7,1,24,1,13,2,9,2,13,1,9,1,13,1,9,2,8,1,13,1,8,1,10,1,8,1,16,1,11,5,9,1,16,1,11,1,9,3,10,1,16,1,17,1,12,1,10,1,11,3,10,1,11,2,9,1,16,1,10,1,17,1,8,1,9,1,10,1,8,1,17,1,11,1,9,6,11,1,9,1,11,1,9,1,10,1,12,1,11,2,17,1,11,2,10,1,9,1,17,1,9,1,12,1,16,1,11,1,9,1,11,2,12,1,17,2,13,1,28,2,6,1,30,1,8,1,10,2,11,1,8,1,10,1,9,1,11,2,8,2,10,1,9,1,8,1,11,1,9,3,11,2,9,2,11,1,10,1,11,1,17,2,28,191,30,1,6,2,30,2,6,1,8,1,6,2,28,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,28,1,13,2,6,1,13,3,8,1,10,1,8,1,13,2,8,1,13,3,9,1,13,3,8,1,6,1,30,1,28,10,30,1,28,6,6,1,13,1,10,1,9,2,12,1,9,2,8,1,10,1,13,1,7,1,6,1,7,1,13,1,29,1,6,1,13,1,6,2,29,1,7,1,30,1,6,2,7,1,30,1,7,1,30,2,13,2,6,1,13,4,8,2,13,1,8,1,6,1,8,1,13,2,8,4,13,3,6,1,10,1,8,1,13,1,8,1,6,1,13,2,8,1,6,1,13,4,7,1,6,1,13,1,6,3,28,1,30,1,28,1,29,2,8,2,10,1,8,1,9,1,10,1,9,1,8,1,9,3,8,1,9,3,10,1,9,1,11,1,12,1,11,1,10,1,9,2,10,1,9,1,7,1,30,2,13,1,6,1,7,1,9,1,10,1,11,3,9,2,11,1,16,1,17,13,16,1,17,3,16,1,17,4,16,5,17,1,16,1,17,1,16,3,9,1,11,1,9,1,16,1,9,8,11,1,9,1,16,2,17,48,16,1,17,1,16,2,11,1,9,1,17,4,10,1,30,1,28,3,29,2,28,3,13,1,24,1,13,1,17,1,12,1,17,1,24,1,8,1,6,1,13,1,29,1,27,2,28,1,30,1,29,1,28,2,29,1,28,2,29,2,28,1,30,1,28,17,30,1,28,1,6,1,30,1,7,1,30,1,29,1,7,2,6,1,8,2,6,1,28,8,7,3,17,1,10,1,12,1,24,1,13,2,28,1,30,1,28,4,30,1,28,1,30,1,29,2,27,1,29,1,25,2,26,2,27,1,8,1,6,1,8,1,25,1,8,1,26,2,27,1,30,1,27,3,25,2,26,1,29,1,28,5,12,1,17,1,10,1,12,2,17,1,12,3,17,1,24,1,12,2,17,2,12,1,17,2,12,1,17,1,10,2,12,3,17,1,12,5,10,1,17,1,10,1,17,24,12,1,17,1,11,1,10,1,17,5,12,2,17,3,11,2,12,2,17,1,11,3,12,1,17,1,12,2,17,4,11,1,17,5,11,1,10,1,12,1,9,1,17,3,11,1,17,2,12,1,17,1,10,1,17,3,11,1,17,1,11,2,17,2,11,2,17,2,11,1,17,1,12,1,11,2,17,1,10,4,24,1,9,1,11,1,8,1,11,1,9,1,11,1,12,1,11,1,10,2,11,1,9,1,17,1,12,1,9,1,11,2,10,1,17,1,12,2,11,2,17,1,11,1,12,1,11,1,12,1,17,1,12,1,17,1,12,3,17,1,10,1,12,1,17,1,11,3,17,1,12,1,10,1,11,1,10,1,17,1,11,1,17,1,11,1,17,1,11,1,17,3,12,1,17,1,11,1,10,1,17,1,10,1,12,1,17,1,11,1,10,1,12,1,11,1,10,1,11,1,12,1,17,1,10,1,12,1,17,1,11,3,17,2,12,1,17,2,12,1,17,4,12,1,17,7,12,1,17,2,12,2,10,2,11,1,12,1,17,1,11,1,9,1,10,2,9,1,11,1,10,1,9,1,10,1,12,1,17,1,9,1,10,1,9,2,8,1,9,1,12,2,17,1,12,4,10,2,17,1,10,2,12,2,11,1,17,1,12,1,17,15,11,1,17,1,9,1,28,3,30,1,28,8,29,1,13,1,8,2,11,2,17,1,16,1,12,1,16,1,9,1,12,1,9,1,24,1,9,1,13,1,8,1,7,1,8,1,11,1,17,2,6,1,28,5,9,1,12,1,29,1,28,1,6,1,29,1,6,1,30,1,28,1,29,1,28,22,}, {13,1,29,1,28,6,6,1,28,1,13,1,29,1,6,1,7,1,30,1,28,2,7,1,30,1,28,1,30,1,28,4,30,2,6,1,28,1,30,1,6,2,13,2,8,1,24,1,8,1,24,1,9,1,17,1,9,1,13,1,8,3,24,1,9,1,16,1,17,1,12,1,11,1,8,1,9,2,16,1,8,1,13,1,6,2,7,1,8,1,17,1,12,1,8,1,6,2,29,1,6,1,13,1,9,1,10,1,15,1,9,1,13,1,8,1,13,1,29,1,7,1,13,1,8,1,10,1,17,1,9,1,13,2,6,1,29,1,9,1,13,1,29,1,30,1,28,23,30,1,6,1,13,1,9,1,13,1,10,3,8,1,6,1,28,1,30,1,29,2,30,1,14,1,17,1,9,2,10,1,9,2,13,1,7,1,29,1,6,1,30,2,7,1,6,1,13,1,24,1,12,1,9,1,24,1,6,1,28,5,30,1,28,5,13,1,30,1,5,1,33,174,6,1,9,1,16,1,11,3,16,2,17,7,11,1,12,1,9,1,13,2,6,1,7,1,13,1,8,1,6,1,9,1,8,1,24,1,9,2,12,2,17,2,12,1,17,12,12,1,17,2,9,1,17,1,12,1,17,1,12,1,17,18,24,1,17,1,24,1,7,1,6,1,29,1,6,1,29,1,28,20,30,1,29,2,6,1,13,1,8,3,12,1,24,1,12,1,17,1,12,1,17,1,12,1,17,12,5,2,33,81,5,667,28,7,7,1,6,1,28,27,30,1,28,8,30,1,28,62,30,1,29,1,30,1,29,1,28,1,13,1,7,1,6,1,30,1,7,1,29,1,13,2,6,1,13,1,24,1,6,1,13,1,11,1,10,2,9,6,13,1,17,1,9,2,10,1,9,3,16,1,9,1,10,1,12,1,9,1,16,1,9,4,16,1,11,1,9,2,10,1,11,1,10,1,12,1,9,1,11,1,10,1,8,1,9,2,16,1,11,2,9,1,10,1,9,1,10,1,9,1,10,1,9,1,11,1,8,1,12,1,16,1,9,2,16,1,17,1,11,2,12,1,9,1,10,1,11,2,10,1,11,1,9,1,11,1,9,1,11,1,8,1,11,1,17,1,9,1,12,1,11,1,9,1,28,5,6,1,8,1,11,1,13,1,12,1,9,2,8,1,9,1,8,1,11,1,10,2,9,3,11,1,12,1,11,2,10,1,11,1,17,2,12,1,17,1,28,186,30,1,28,1,30,1,28,3,29,1,7,1,28,1,7,1,13,1,8,1,6,1,7,1,29,1,7,1,13,1,30,1,13,1,6,2,13,1,30,1,6,2,13,1,8,1,13,3,7,1,13,1,8,2,9,1,13,1,8,1,9,1,13,2,8,1,13,1,6,1,28,10,30,2,28,7,6,1,13,1,8,1,10,1,8,1,10,1,8,1,13,1,9,2,10,1,13,3,7,3,29,1,6,1,30,1,28,1,30,1,7,1,6,1,30,1,7,1,8,1,6,1,30,1,6,1,13,1,6,1,13,2,8,1,13,2,9,1,13,1,8,1,13,1,7,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,4,9,1,7,2,13,1,8,1,6,1,8,1,13,3,8,1,13,1,7,1,13,1,7,2,6,1,30,1,13,1,28,1,30,1,28,1,6,1,28,1,6,2,30,1,7,1,9,1,10,1,13,1,9,1,8,2,13,1,8,1,9,1,13,1,8,2,13,1,9,1,13,2,8,1,12,1,9,1,8,2,6,3,13,1,29,1,9,1,11,1,9,1,12,1,9,1,11,1,10,1,9,1,17,1,11,2,17,10,16,1,17,1,16,1,17,2,16,1,17,4,16,10,11,1,9,1,11,3,9,2,16,1,9,1,8,1,9,2,16,3,17,7,16,1,17,43,16,1,17,3,16,2,17,4,9,1,28,5,30,1,28,2,6,1,8,1,24,1,13,1,17,2,13,1,6,1,7,1,6,1,29,1,6,1,29,1,28,1,30,2,29,2,28,1,29,1,30,2,28,21,29,1,30,1,28,1,29,1,6,2,7,1,6,1,7,1,29,1,7,1,8,1,6,1,7,1,30,1,28,6,30,2,8,1,10,1,12,1,24,3,25,1,30,1,29,1,28,6,29,1,28,2,30,1,25,1,26,1,6,1,26,1,6,1,25,2,6,2,24,1,25,1,26,1,29,1,27,1,29,1,27,2,25,2,26,1,25,1,29,1,28,5,30,1,9,1,17,1,10,1,17,3,12,1,17,2,12,1,10,1,12,7,17,1,10,1,12,1,17,1,10,1,17,2,24,1,10,1,17,3,12,1,17,1,12,1,17,8,16,1,17,18,11,1,12,1,11,1,17,3,12,1,11,1,17,4,12,1,17,2,11,2,17,1,12,1,17,1,10,1,17,2,12,1,17,8,12,1,17,3,10,1,11,1,17,1,12,1,17,2,12,1,17,2,11,1,17,1,12,1,17,1,11,1,12,1,17,2,11,1,17,3,12,1,17,2,11,1,10,1,11,1,10,1,11,1,9,1,10,1,11,1,24,1,10,1,9,1,10,1,9,1,17,1,24,1,11,1,10,1,12,1,9,1,11,2,9,1,10,1,11,1,13,1,11,1,10,1,17,1,9,1,12,1,11,2,12,1,17,1,12,1,17,2,11,1,12,1,17,1,12,1,17,1,11,1,12,1,11,2,10,1,11,1,12,1,9,1,17,1,12,1,11,1,12,3,17,1,11,1,12,1,17,1,12,1,11,1,17,1,10,1,17,1,12,4,11,1,12,2,9,1,12,1,9,1,17,1,9,1,17,1,11,1,17,3,11,1,12,1,17,1,11,1,17,1,12,1,17,7,12,1,17,9,11,3,12,1,11,1,12,2,17,1,12,1,10,1,9,1,12,1,10,1,9,1,17,1,12,1,8,1,10,1,17,1,10,1,9,1,12,1,9,6,12,1,17,3,12,1,17,1,12,1,17,1,9,1,12,3,10,1,17,7,12,1,17,1,11,1,17,5,12,2,17,2,9,2,28,9,30,1,28,2,6,1,13,1,9,1,11,1,17,2,16,1,17,1,9,1,8,1,9,1,8,3,7,1,6,1,13,1,8,1,13,2,16,1,10,1,28,5,30,1,9,2,7,1,29,1,6,1,29,1,30,1,13,1,6,1,30,1,28,22,}, {6,1,13,1,28,4,30,1,7,1,30,1,6,2,13,1,29,1,6,1,29,1,13,1,28,1,6,2,28,5,6,1,28,2,6,1,30,1,7,1,6,1,29,1,13,1,8,1,24,3,10,1,12,1,17,2,13,2,6,1,8,1,13,1,9,1,16,1,17,1,16,1,8,1,9,1,10,1,9,2,24,1,13,1,7,1,6,1,29,1,8,1,17,1,10,1,6,1,13,1,6,1,29,1,13,1,6,1,9,1,24,1,12,1,10,1,8,1,6,2,13,1,29,1,6,1,13,1,17,2,16,1,13,1,6,1,13,1,10,1,24,1,13,1,28,4,30,1,28,4,30,1,28,16,8,1,13,1,24,1,13,1,12,1,9,1,14,1,13,1,6,1,28,1,30,2,6,2,12,1,9,1,12,2,10,1,13,3,6,1,13,1,8,1,13,1,8,1,13,1,30,1,9,1,8,1,9,2,8,1,13,1,28,11,8,1,28,1,33,175,13,1,9,1,11,1,17,2,11,1,17,10,9,1,13,1,24,2,6,1,13,1,7,1,6,1,8,1,9,1,10,1,17,1,9,1,17,19,9,1,11,1,17,2,12,2,17,3,12,1,17,12,12,1,17,1,9,1,24,2,6,2,29,1,30,1,29,1,28,19,30,1,28,1,29,2,7,1,6,1,7,2,24,2,9,1,12,1,17,1,12,1,17,1,12,1,17,4,12,1,17,9,5,2,33,81,5,665,30,1,28,43,30,1,7,1,28,58,30,1,28,1,30,1,28,2,7,1,6,1,28,1,6,2,30,1,7,2,6,1,13,1,7,1,13,1,8,1,13,1,8,2,13,1,10,1,9,1,13,1,9,1,13,1,8,1,9,1,11,1,9,2,8,1,16,1,11,1,12,1,9,1,17,1,10,1,9,1,10,1,11,1,9,1,10,1,9,3,16,1,10,1,9,1,11,1,9,1,12,1,9,1,17,1,16,1,9,4,11,1,9,1,17,1,10,1,11,2,9,1,11,1,8,1,9,3,16,1,9,1,11,1,10,1,9,1,8,1,10,2,11,3,9,1,11,1,9,1,10,1,11,2,8,1,9,3,11,1,9,1,16,1,9,1,11,2,12,2,8,1,13,1,28,6,13,2,9,1,8,1,9,3,8,1,9,6,10,1,9,1,11,4,10,1,9,2,17,1,9,1,28,190,30,2,6,2,13,3,7,2,6,1,13,1,6,1,29,1,30,1,6,1,29,1,6,2,13,1,7,1,8,1,13,2,8,1,13,1,9,1,13,3,8,1,6,1,8,1,13,3,30,1,28,11,30,1,6,1,29,1,6,1,28,7,30,1,9,1,8,1,9,1,11,1,8,1,9,1,8,1,9,1,8,1,13,3,7,1,13,2,30,1,6,1,13,1,6,3,28,1,29,1,6,1,13,1,29,1,7,1,29,1,13,1,6,2,7,1,13,1,7,1,13,2,9,1,7,1,8,1,10,1,9,1,13,1,8,1,9,1,10,1,13,1,9,2,13,1,8,1,13,1,8,1,6,1,13,1,29,1,9,1,13,2,6,1,8,1,6,1,7,1,8,1,9,2,30,1,13,2,30,1,7,1,6,1,7,1,6,1,29,1,30,1,6,1,28,1,30,2,29,1,6,1,13,1,8,1,9,2,13,1,9,1,8,1,12,1,9,1,11,1,13,1,9,2,11,1,13,1,8,1,9,1,13,1,9,1,7,1,13,2,6,1,13,1,11,1,17,1,10,1,12,1,9,1,17,1,11,1,9,1,11,1,17,12,16,1,17,3,16,1,17,6,16,4,11,2,16,1,11,1,8,1,9,2,16,1,9,1,16,1,9,5,16,2,17,13,16,2,17,39,16,1,17,1,16,2,17,2,16,1,17,3,9,1,28,4,29,1,28,3,6,1,13,1,9,1,12,1,10,1,8,1,29,1,13,1,6,1,29,1,6,1,29,1,30,1,6,1,28,1,30,1,27,1,28,1,30,1,28,2,30,1,28,21,30,1,29,1,6,1,29,1,30,1,6,1,30,1,6,2,13,1,6,2,29,1,9,1,12,1,28,4,30,1,28,2,13,1,7,1,24,1,12,1,13,1,24,2,25,1,6,1,30,1,28,6,30,2,6,1,29,1,27,2,6,1,8,1,30,1,25,3,7,1,25,1,6,1,28,1,26,1,30,1,28,1,29,1,30,1,27,1,8,1,24,1,8,1,24,1,28,6,6,1,12,3,9,1,12,1,17,2,12,6,17,1,12,1,17,3,12,1,10,1,12,1,10,1,12,1,9,1,12,4,10,1,17,27,12,3,11,1,12,2,17,1,12,1,17,5,11,1,12,1,11,1,17,1,11,1,17,1,11,2,17,1,12,1,17,1,11,1,17,5,11,1,17,2,12,2,17,2,11,1,17,1,11,1,12,1,11,1,17,3,11,1,17,3,12,1,17,4,11,1,17,2,12,2,17,1,12,1,10,1,12,1,10,1,9,2,12,1,10,1,11,1,8,1,9,3,10,1,11,1,8,1,12,1,9,1,10,1,9,1,11,1,9,1,12,1,11,1,10,2,11,1,8,1,11,2,12,1,11,1,10,1,11,1,17,1,10,1,11,1,12,1,17,1,11,1,12,5,17,1,11,1,10,1,12,1,11,1,17,1,11,2,12,1,9,1,10,2,17,3,11,2,17,1,12,1,17,2,11,1,17,1,12,2,9,1,10,1,9,1,17,1,12,1,11,1,12,1,11,1,17,1,9,1,12,1,17,1,12,1,17,8,11,1,17,5,12,1,17,2,12,1,17,9,12,1,17,1,11,3,12,1,9,1,10,1,17,1,12,1,11,2,8,1,10,2,12,2,10,3,11,1,9,1,24,1,9,1,10,1,12,1,17,3,12,1,17,1,9,1,12,3,17,1,10,1,9,1,12,2,17,8,12,3,17,3,12,2,11,1,12,2,6,1,28,7,30,1,28,4,7,1,9,1,8,1,16,1,17,3,11,1,10,1,9,2,13,1,7,1,8,1,13,1,6,1,13,1,8,1,13,1,8,1,17,1,10,1,29,1,28,5,24,1,17,1,7,1,6,1,30,1,29,2,30,1,28,24,}, {6,1,13,1,30,1,28,4,30,1,6,2,29,1,13,1,7,1,13,1,6,4,13,1,30,1,28,1,29,1,28,3,6,1,28,1,29,2,28,1,30,1,6,1,7,2,12,2,24,1,11,1,12,1,17,1,12,1,11,1,9,1,7,1,8,1,6,1,13,1,17,2,9,1,10,1,8,1,16,1,10,1,8,2,6,2,29,2,7,1,16,1,11,1,8,1,6,1,28,1,6,3,24,1,12,1,9,1,13,3,7,1,6,2,9,1,7,1,12,1,17,1,12,1,9,1,6,1,29,1,30,1,8,1,24,1,28,1,29,1,28,10,30,1,28,10,30,1,6,3,8,1,24,1,8,2,12,1,9,2,30,2,6,1,28,1,30,2,8,2,15,2,9,2,6,1,8,1,13,1,29,1,28,1,13,1,6,1,7,2,8,2,12,1,10,2,13,1,29,1,28,4,30,1,28,5,13,1,6,1,5,1,33,172,5,1,33,1,13,1,16,1,11,2,16,2,17,9,10,1,9,1,13,1,9,2,8,1,6,1,29,1,6,2,24,1,9,1,17,17,12,1,17,2,11,2,17,1,12,1,11,1,17,4,12,1,17,12,12,1,9,1,10,1,24,2,30,2,6,1,30,1,6,1,28,21,29,1,28,1,29,2,6,1,8,1,24,4,12,2,17,1,12,2,17,4,12,1,17,10,5,2,33,80,5,665,28,39,29,1,28,4,30,2,28,60,30,1,29,1,28,2,30,1,29,1,7,1,6,1,7,1,6,1,29,1,24,1,6,1,13,1,9,1,7,1,13,3,10,1,13,1,9,2,11,2,9,1,10,2,9,1,11,1,9,1,17,1,11,1,17,1,10,4,9,3,11,1,16,1,11,2,9,1,8,1,9,2,10,1,11,1,9,1,11,1,9,1,16,1,8,1,17,1,9,1,11,1,9,1,10,2,11,2,9,1,12,1,9,1,11,1,10,3,9,1,10,1,11,1,16,1,9,2,10,1,8,1,12,1,9,1,10,1,11,1,9,1,11,2,9,1,11,2,9,1,10,1,11,1,10,1,9,3,12,1,17,1,8,1,11,2,10,1,13,1,28,5,30,1,6,1,7,1,13,2,9,1,13,1,9,6,8,1,9,1,12,1,10,1,9,1,10,1,11,1,10,1,11,1,12,1,17,1,29,1,28,190,30,3,13,1,7,1,6,1,7,1,6,1,29,1,13,3,7,1,6,1,13,2,7,1,8,1,13,1,9,1,8,2,9,1,13,3,9,2,13,3,6,1,30,1,29,1,30,1,28,12,7,1,9,1,13,1,28,4,6,1,30,1,28,1,30,1,13,1,11,1,13,2,10,1,8,1,9,4,13,1,7,2,6,1,13,2,30,1,6,1,30,1,13,1,30,1,29,1,13,1,6,1,8,1,28,1,13,3,7,1,9,2,6,1,7,1,8,1,13,2,9,1,13,1,9,2,6,1,9,1,13,1,9,2,8,1,13,1,11,1,9,1,13,6,7,1,13,5,6,1,13,6,6,2,13,1,30,1,7,2,28,1,13,1,6,1,30,1,28,1,30,1,28,1,13,1,6,1,9,1,8,1,9,1,10,1,9,2,12,1,11,2,13,2,8,1,9,1,13,1,9,2,13,1,9,2,6,1,9,1,11,2,12,1,10,1,11,1,10,1,17,1,11,1,17,8,16,1,17,4,16,4,17,4,16,1,17,1,16,7,9,1,11,1,8,1,11,2,9,5,11,1,16,1,17,9,16,2,17,4,16,1,17,1,16,1,17,10,16,1,17,26,16,1,17,4,16,4,17,3,28,4,30,1,13,1,28,2,30,1,13,1,24,1,12,2,6,1,13,1,24,1,7,1,6,1,27,1,6,2,29,2,30,3,29,1,30,2,28,22,29,1,28,1,29,2,7,2,6,3,29,2,6,1,29,1,28,1,7,1,12,1,28,6,29,1,6,1,30,1,24,1,12,1,24,2,10,1,8,1,29,2,28,6,30,2,6,1,30,1,25,3,8,1,26,2,25,1,8,1,25,1,26,1,6,1,29,1,27,1,30,1,27,1,28,2,27,1,25,1,24,1,10,1,24,2,30,1,28,3,8,1,24,1,9,1,10,1,17,2,10,1,12,1,17,1,12,1,10,1,12,2,9,1,12,1,24,1,17,2,12,1,10,1,17,1,12,1,10,2,12,1,17,3,10,1,17,30,12,1,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,3,12,1,17,4,12,1,17,2,12,1,17,1,12,2,17,1,11,1,17,1,12,1,17,4,12,1,17,9,12,1,17,5,12,1,17,2,12,1,17,3,11,2,10,1,12,1,17,1,9,2,12,1,8,1,10,2,9,1,11,2,10,1,11,1,12,1,11,1,8,1,12,2,9,1,10,1,11,1,9,1,10,1,11,1,9,1,11,2,10,1,11,1,10,1,11,2,17,3,12,1,17,4,11,2,9,1,17,1,10,1,12,1,10,1,12,1,10,1,9,1,10,1,17,1,12,1,11,1,12,1,11,2,17,4,12,1,11,2,12,1,17,1,12,1,11,1,12,1,17,1,10,1,12,1,9,2,10,1,11,1,17,1,12,1,10,1,12,1,17,3,11,1,17,1,12,2,17,1,12,1,11,1,12,1,17,9,12,2,17,1,12,1,17,3,12,2,11,2,10,2,11,1,12,3,9,1,12,1,10,1,11,1,17,1,10,1,11,1,10,1,9,2,10,1,9,1,24,1,10,1,13,1,10,1,11,1,17,2,12,1,17,1,12,1,17,4,10,1,17,1,10,2,17,1,12,2,17,5,12,1,17,4,12,1,17,3,12,1,17,2,9,1,7,1,28,3,30,1,28,7,30,1,29,1,13,1,17,4,16,1,9,1,8,1,6,1,7,1,13,2,8,1,6,2,7,1,10,1,8,1,10,1,17,1,9,1,28,6,24,1,9,1,6,1,28,29,}, {13,2,28,4,30,2,13,1,29,1,6,6,29,1,30,1,28,1,30,1,28,1,30,1,28,4,30,2,6,1,10,1,8,1,6,2,9,1,13,1,10,1,9,1,12,2,17,2,8,1,7,1,8,1,13,2,8,1,17,2,12,2,8,1,10,1,9,1,24,1,8,2,29,1,6,1,29,1,8,1,12,2,8,1,6,1,29,1,6,1,30,1,6,1,8,1,15,1,24,2,9,1,8,1,7,1,6,1,29,1,8,2,12,1,17,1,10,1,9,1,6,2,13,1,24,1,13,1,28,18,30,1,28,2,30,1,28,1,29,1,30,2,6,1,24,3,10,2,15,1,8,1,28,1,29,1,28,1,30,2,29,1,10,1,24,1,12,1,17,1,24,1,8,2,13,2,6,1,8,1,6,1,29,1,13,3,8,1,9,1,8,1,15,1,6,1,28,2,30,1,28,3,30,1,28,4,10,1,13,1,33,173,5,1,13,2,17,1,9,1,17,1,16,1,17,11,9,1,24,1,8,1,6,1,8,1,7,1,30,1,13,2,10,1,17,21,11,2,10,2,17,8,12,1,17,6,12,1,17,1,24,2,9,1,7,1,8,1,13,1,29,1,30,3,28,1,30,1,28,22,30,1,6,2,13,1,8,1,24,2,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,9,33,82,5,664,28,1,30,1,28,42,29,1,28,55,30,1,28,3,30,1,28,1,6,1,29,1,30,1,7,2,6,3,7,1,13,1,8,2,13,1,7,1,13,1,8,1,9,1,13,1,8,3,9,3,11,1,9,1,16,1,11,1,17,1,11,4,10,1,9,1,16,1,12,1,10,1,12,1,16,1,11,1,17,1,9,1,8,1,10,1,9,1,10,1,9,2,8,1,9,1,10,1,9,1,10,1,9,1,8,1,9,4,11,1,9,2,16,1,9,2,12,1,9,1,10,1,12,1,9,1,11,2,8,1,11,1,9,2,11,1,9,2,10,1,9,1,11,1,12,1,16,2,10,2,9,1,11,1,9,1,17,1,9,1,10,1,11,1,17,2,10,1,8,1,13,1,9,2,8,1,13,1,28,2,30,1,6,1,28,1,30,2,6,3,13,2,10,1,13,1,9,2,13,1,8,1,11,1,6,1,9,1,11,1,8,1,9,1,8,1,10,2,17,1,11,1,28,190,30,1,28,2,13,1,7,1,6,1,13,2,7,1,13,1,30,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,17,1,13,2,9,1,13,2,8,1,13,2,8,1,6,2,30,1,29,1,30,1,28,13,8,1,13,2,8,1,28,7,6,1,13,1,9,1,13,6,8,3,7,1,13,2,7,1,6,1,13,1,7,3,13,1,7,1,6,1,13,2,29,1,6,2,30,1,6,1,13,1,6,2,24,1,13,3,9,1,13,1,8,1,13,1,8,1,13,1,9,3,8,1,9,1,8,1,6,1,13,1,7,1,6,4,7,1,30,1,7,1,13,1,24,1,9,1,13,2,7,1,30,1,29,1,7,1,6,1,13,1,6,1,7,1,13,1,6,2,7,1,30,1,13,1,28,1,29,1,6,1,30,1,7,1,28,1,30,1,13,1,10,1,9,1,10,1,9,3,11,1,10,2,11,1,9,1,13,1,9,2,8,2,9,1,13,2,12,1,17,1,12,1,17,1,9,1,17,1,9,1,12,1,16,1,17,1,16,1,17,5,16,2,17,3,16,4,17,3,16,1,17,1,16,3,17,1,16,2,11,1,9,5,13,1,9,1,13,1,11,1,9,1,16,1,17,8,16,1,11,2,16,1,17,15,16,2,17,26,16,1,17,1,16,1,17,1,16,1,17,3,16,2,17,1,16,1,17,1,16,1,28,4,6,1,7,1,28,3,9,1,17,1,12,1,8,1,7,2,13,1,7,1,25,1,28,1,29,1,30,2,28,1,29,2,28,2,29,1,28,1,30,1,28,3,30,2,28,14,30,1,28,1,30,1,6,1,13,1,6,3,7,1,6,1,7,1,6,1,30,1,28,3,6,1,8,1,28,6,7,1,24,2,8,1,6,1,24,2,8,1,24,1,25,1,29,1,30,1,28,1,30,1,28,5,6,1,25,1,6,2,27,1,25,3,6,1,25,1,8,1,25,1,29,1,27,1,30,1,29,1,28,5,29,1,25,1,24,1,17,1,24,1,8,1,24,1,6,2,29,1,7,1,24,1,8,1,17,2,12,1,17,3,12,1,10,1,12,1,10,1,12,1,17,3,10,1,17,1,12,2,10,1,12,3,10,2,12,1,17,25,12,1,17,1,12,1,17,6,11,2,12,1,17,5,12,2,17,1,12,1,17,2,12,2,17,1,12,1,17,2,11,1,17,1,11,1,17,4,12,1,17,2,12,1,17,1,11,2,12,1,17,3,12,2,17,2,11,2,17,6,12,1,17,1,12,2,10,1,9,1,8,1,11,1,9,3,10,1,24,1,9,3,10,1,9,1,12,1,10,1,11,1,10,1,12,1,9,1,11,1,10,1,11,1,9,1,8,1,9,2,10,1,12,2,17,1,9,1,12,1,11,1,17,1,11,1,17,2,11,1,12,3,11,2,17,1,10,1,12,1,11,1,10,1,12,2,11,1,17,1,11,1,12,1,11,1,17,1,11,1,17,1,11,1,17,3,12,1,17,1,10,1,17,1,12,1,17,2,10,1,11,1,17,1,10,1,12,1,11,2,17,1,12,1,17,8,11,1,17,1,12,1,17,3,11,1,12,1,11,2,17,4,12,1,17,5,12,1,11,1,12,1,11,1,10,1,11,1,9,1,11,2,12,1,10,1,11,1,12,1,9,1,10,1,11,1,24,1,11,2,10,1,8,1,9,1,8,1,24,1,8,3,17,3,12,1,17,1,10,1,17,1,12,2,10,1,17,2,10,1,12,4,17,1,12,1,17,2,12,2,17,2,10,1,17,1,12,1,17,2,10,1,17,1,11,1,12,1,9,1,7,1,28,2,30,1,6,1,28,7,30,1,6,1,9,1,17,4,11,1,9,1,8,1,13,1,6,1,9,1,8,1,24,1,13,1,30,1,6,1,9,1,13,1,11,1,12,1,11,1,28,6,9,2,28,1,6,1,28,1,6,1,28,1,30,1,28,24,}, {6,2,29,1,28,4,13,1,29,1,6,1,13,3,30,1,7,2,29,1,30,1,6,1,30,1,29,1,30,3,28,2,29,2,6,1,13,1,30,1,6,2,17,1,24,1,12,1,17,1,12,2,17,2,9,1,7,1,13,2,7,1,13,1,11,1,17,2,11,1,9,2,8,1,24,1,8,1,13,2,7,1,30,1,13,1,17,1,11,1,24,1,29,1,13,1,6,3,13,1,8,2,24,1,8,1,6,1,13,1,29,1,6,2,24,1,12,1,17,1,10,1,9,1,6,3,12,1,7,1,29,1,6,1,28,21,29,1,28,2,29,1,6,1,13,1,12,1,9,1,12,1,15,1,8,1,6,2,29,1,28,1,29,1,6,1,7,1,12,1,15,2,24,1,13,2,6,1,8,1,30,1,13,3,6,1,8,1,6,1,24,2,15,2,30,1,28,11,8,1,6,1,5,1,33,172,5,1,13,1,11,1,16,1,11,1,16,1,17,6,12,1,17,4,10,1,9,2,13,1,9,1,6,1,13,1,6,1,9,1,12,1,17,22,12,2,17,11,12,1,17,5,12,3,7,1,8,2,29,1,6,1,28,1,29,1,28,1,30,1,28,21,30,1,28,1,30,2,29,1,7,1,24,1,8,1,24,2,9,1,10,1,12,1,17,1,10,1,17,1,12,1,17,1,12,1,17,1,12,4,17,8,5,1,33,82,5,660,33,1,9,1,30,1,28,42,30,1,28,1,30,1,28,42,29,2,28,14,6,1,29,1,6,1,29,1,13,2,7,1,8,1,13,4,8,2,13,1,9,1,8,2,13,1,8,1,13,1,9,5,11,2,17,1,16,1,12,1,11,1,9,2,11,1,16,1,11,1,17,1,9,2,16,1,11,1,17,2,12,1,9,1,17,1,10,2,9,2,10,1,8,1,9,2,11,1,9,2,10,1,9,2,10,1,9,2,11,1,9,1,11,1,16,1,11,1,12,1,11,1,17,1,9,6,12,1,11,1,16,1,17,1,16,2,11,3,9,3,10,1,9,1,17,1,10,1,9,1,12,1,11,1,17,1,9,1,13,1,6,1,9,1,8,1,13,1,8,1,9,2,29,1,28,2,6,3,30,1,6,2,30,1,6,2,13,2,7,1,13,1,9,1,8,1,13,2,9,1,13,2,8,3,11,2,17,1,28,192,30,1,13,1,28,1,13,3,9,1,11,2,17,1,11,4,10,3,9,1,8,2,13,1,9,1,13,4,7,1,6,1,28,15,13,1,9,1,13,2,28,5,30,1,28,2,13,2,9,2,13,1,8,1,13,1,9,2,8,1,13,4,29,1,13,1,7,2,29,1,28,2,6,1,13,1,6,1,9,1,7,1,6,1,7,1,6,2,7,2,8,1,13,1,6,1,8,1,13,1,8,1,9,1,13,1,9,2,8,1,9,2,12,1,13,1,7,1,9,2,7,1,13,1,7,1,13,1,7,2,13,1,7,1,6,2,13,3,8,1,6,1,7,1,13,1,6,1,7,2,6,1,13,1,30,1,6,1,7,2,30,1,6,1,9,1,6,1,30,1,13,1,28,1,6,1,28,1,6,1,28,1,6,1,13,1,9,1,13,1,9,3,8,2,9,2,11,1,8,1,11,1,9,2,10,1,7,1,9,2,17,2,10,1,17,11,16,1,17,1,16,3,17,1,16,1,17,6,16,1,17,1,16,5,9,3,11,2,9,1,13,3,9,2,16,1,17,7,16,1,17,1,11,1,17,35,16,1,17,16,16,1,17,6,13,1,28,3,29,1,6,1,29,1,28,2,6,1,17,1,24,2,29,1,6,1,7,1,30,1,28,1,25,1,27,1,24,1,30,1,29,2,28,1,29,3,28,1,30,1,29,1,27,1,28,11,30,1,28,9,7,1,6,3,7,2,29,1,6,2,30,1,28,4,30,1,13,1,28,5,6,2,29,1,7,1,13,1,24,3,13,1,26,1,29,1,28,2,29,1,28,2,30,1,28,3,6,1,25,2,7,1,25,4,8,2,25,1,29,3,28,7,30,1,24,1,10,1,12,1,10,3,13,1,8,1,6,1,13,2,8,1,17,4,24,1,12,1,17,1,12,1,9,1,10,1,12,2,10,1,17,2,9,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,23,12,1,17,1,12,1,17,3,11,1,12,1,17,1,12,1,11,1,17,2,11,1,17,3,12,1,17,5,12,1,17,3,12,1,17,2,12,2,10,1,17,9,12,1,17,1,11,2,17,2,12,1,11,1,17,4,12,1,17,1,11,1,17,2,11,1,17,1,12,1,10,1,17,1,11,1,10,1,11,1,8,1,12,1,8,1,10,1,8,1,10,3,11,1,17,1,9,1,11,3,12,1,9,1,12,1,10,3,11,1,9,1,10,1,11,1,10,1,11,1,10,1,12,1,17,3,11,2,12,3,11,1,12,2,11,1,10,1,17,1,11,2,12,4,10,2,11,2,12,1,11,2,12,1,17,3,12,1,17,1,12,1,11,1,12,2,17,1,11,1,17,1,11,1,12,1,17,1,11,1,17,3,11,1,17,2,11,1,12,1,17,1,12,2,17,2,12,1,11,1,17,19,12,2,11,1,10,1,17,1,9,1,12,1,9,3,12,1,11,1,12,1,11,2,10,1,9,1,10,1,8,1,9,1,10,1,8,1,9,1,24,1,9,2,12,3,17,1,11,1,17,1,12,1,17,3,11,1,10,1,12,2,17,1,11,1,17,2,12,2,17,4,12,5,10,1,17,1,11,1,17,2,9,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,6,2,11,1,10,1,16,1,17,1,12,1,9,1,10,1,13,2,28,1,8,1,13,1,24,1,13,1,29,1,6,1,13,1,9,1,17,1,11,2,30,1,28,4,30,1,8,2,30,1,28,1,6,2,28,1,6,1,30,1,28,23,}, {30,1,6,1,30,1,28,3,30,2,29,1,7,1,29,1,6,1,7,1,29,1,30,1,6,1,29,1,30,1,6,3,7,1,30,2,28,2,6,1,30,1,29,1,6,1,13,1,6,2,9,1,24,2,12,1,9,1,12,1,17,2,16,1,8,1,13,4,12,1,17,2,16,1,24,1,11,2,24,1,8,1,13,4,8,1,14,1,15,1,9,1,6,2,7,1,29,1,6,1,8,1,9,2,13,1,8,1,6,2,7,1,8,1,13,1,24,1,9,1,17,2,24,1,30,1,6,2,14,1,13,1,29,1,28,15,30,1,28,6,30,1,28,1,30,1,28,1,13,1,30,1,8,1,13,1,8,1,14,1,9,1,6,1,30,1,28,2,6,1,29,1,13,1,9,1,12,3,8,2,13,1,6,4,28,1,13,1,7,1,13,1,8,1,9,1,12,1,14,1,13,1,30,1,28,10,13,2,5,1,33,172,5,1,16,2,17,10,12,1,17,3,9,1,12,1,24,2,13,1,6,1,13,1,9,1,12,1,17,39,15,2,17,1,12,1,9,1,8,2,6,2,28,1,30,2,29,1,28,23,30,3,6,1,7,1,6,1,8,1,13,1,12,1,10,1,12,3,17,1,12,1,17,1,12,1,17,1,12,2,17,1,12,1,17,10,16,1,5,1,33,82,5,653,33,4,9,1,13,1,28,1,9,1,6,1,28,41,7,1,28,46,29,1,28,7,30,2,28,2,7,1,28,1,30,1,6,3,13,1,6,1,7,1,6,2,13,3,8,1,24,1,8,1,13,2,9,3,11,1,8,1,9,1,17,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,12,2,9,1,11,1,16,1,9,1,16,1,11,3,17,1,11,1,17,1,11,2,12,1,9,1,8,1,9,1,8,1,9,3,10,1,9,2,11,1,10,1,9,1,8,1,12,1,17,1,9,1,10,1,9,1,12,1,10,1,9,1,8,1,10,1,12,1,9,1,10,1,12,1,11,2,10,1,12,1,16,1,11,1,9,1,10,1,11,1,16,1,9,1,10,1,13,1,11,3,10,3,9,1,11,1,17,2,10,1,13,2,8,2,9,1,13,1,9,4,28,3,7,2,6,1,30,1,13,1,29,1,6,1,7,2,6,1,30,1,28,1,30,1,13,2,8,2,13,1,8,2,13,1,8,2,13,1,10,1,9,1,28,108,30,1,28,85,29,1,7,1,8,1,9,1,10,1,9,1,11,1,12,2,9,1,10,1,17,1,10,1,8,1,10,1,13,1,9,2,10,1,13,2,30,3,28,15,8,1,11,1,10,1,8,1,13,1,30,1,28,7,6,1,13,1,9,1,28,1,30,1,6,3,13,1,8,1,9,1,13,2,6,1,13,1,6,2,7,1,13,1,6,1,7,1,13,1,7,1,13,1,7,1,13,1,7,2,30,1,6,1,13,1,7,1,29,1,8,1,7,2,6,1,7,1,13,2,8,1,9,1,11,2,13,1,9,1,17,1,8,1,9,2,13,1,8,1,13,1,6,1,8,1,6,1,13,1,7,2,6,1,13,5,29,1,6,1,13,2,6,1,7,1,13,2,6,2,7,1,6,1,29,1,6,2,30,1,13,2,8,1,13,1,30,1,13,1,6,1,30,1,29,1,13,1,8,3,13,1,9,2,13,1,9,1,8,3,9,1,7,1,13,1,9,1,17,2,12,2,17,12,16,2,17,2,16,1,17,1,16,1,17,2,16,1,17,1,16,6,11,1,16,1,13,1,9,5,13,1,9,2,11,1,16,1,17,6,16,1,9,1,16,2,17,52,16,1,17,8,6,1,28,1,30,1,28,1,29,1,28,1,30,1,13,1,8,1,24,1,13,1,29,1,7,1,6,1,26,1,25,2,27,1,29,1,27,1,28,1,29,1,28,1,6,1,29,1,28,1,29,1,28,4,30,1,28,18,30,1,28,2,6,1,7,1,29,2,6,1,29,1,6,1,29,1,28,6,7,2,28,3,7,1,29,1,28,2,29,1,6,1,9,1,12,1,10,1,24,2,26,1,27,1,28,2,29,1,28,1,30,1,28,1,30,1,28,1,24,1,26,1,8,1,25,1,26,2,8,1,25,2,8,1,27,1,26,2,27,1,28,8,29,1,25,1,12,2,24,1,8,1,24,1,6,1,7,1,8,1,13,1,24,1,17,2,12,1,17,2,12,2,24,1,17,1,10,1,17,2,12,1,17,3,10,1,12,2,10,1,12,1,24,1,17,2,9,1,17,24,12,2,17,1,12,2,17,3,10,1,17,1,11,1,17,1,11,1,12,1,17,1,11,1,17,8,11,1,17,3,12,1,11,1,12,1,17,1,12,1,17,2,11,1,17,2,12,1,17,2,12,1,11,1,12,1,17,1,12,3,11,1,17,6,12,1,17,1,12,1,11,2,9,1,12,1,9,1,10,1,9,2,11,1,8,1,9,1,10,2,11,1,9,1,10,1,12,1,10,1,11,1,9,1,10,1,9,2,11,1,10,1,13,1,11,2,10,1,9,1,11,2,12,1,11,1,12,1,17,1,11,1,17,1,12,2,17,1,12,1,17,1,10,2,12,2,11,1,12,1,10,1,11,1,10,1,11,1,9,1,17,1,10,1,11,2,12,1,17,1,11,1,12,3,11,1,17,1,12,1,17,1,11,1,12,3,17,1,11,3,12,1,11,1,9,2,10,1,17,2,11,1,12,1,11,2,17,4,11,1,17,7,11,1,17,1,12,1,17,1,11,2,17,1,12,1,17,3,12,1,17,1,12,1,17,1,10,1,17,1,9,1,11,1,8,1,17,1,9,1,12,1,10,1,11,1,12,2,11,1,8,1,11,1,9,3,8,1,10,1,8,1,13,1,24,1,13,1,9,1,12,1,10,2,12,1,17,5,10,1,17,1,12,1,10,2,17,1,12,1,17,2,12,2,10,1,17,3,12,1,17,1,11,1,17,1,10,1,12,1,17,3,9,1,10,1,30,1,28,4,30,1,28,2,30,1,28,3,29,1,6,1,11,1,8,1,11,1,17,2,10,1,8,1,13,1,7,1,30,1,13,1,8,1,24,1,8,1,13,2,8,1,10,1,17,2,9,1,30,1,28,4,29,1,10,1,8,1,29,1,6,1,30,2,29,2,30,1,28,23,}, {6,1,30,1,29,1,28,3,30,1,28,2,30,1,6,1,13,1,30,1,6,1,29,1,30,1,6,1,28,1,30,1,6,2,28,4,6,1,30,1,6,1,28,1,13,1,6,2,13,2,8,2,9,1,24,1,17,3,11,1,8,1,6,1,13,2,8,1,17,3,9,3,11,1,24,2,13,2,9,1,8,1,13,1,14,1,17,1,8,1,7,1,6,1,13,1,6,3,24,1,8,3,30,1,29,1,7,1,13,1,7,2,9,1,17,2,9,1,6,2,13,1,10,1,7,2,28,16,30,1,28,8,29,1,6,1,29,1,13,1,9,1,12,1,15,1,9,1,6,1,30,1,6,1,28,1,29,1,28,1,8,1,10,1,17,1,15,1,12,1,24,1,6,1,13,1,7,2,13,1,29,1,6,4,9,1,24,1,10,1,12,1,29,1,30,1,28,2,30,1,28,4,30,2,28,1,8,1,30,1,5,1,33,171,5,2,11,1,17,2,16,1,17,5,9,1,17,1,11,1,17,1,16,2,11,1,17,1,10,1,12,1,9,1,13,1,9,1,10,1,17,1,12,1,17,7,12,1,10,2,9,1,17,28,12,1,10,1,12,1,8,1,24,1,7,1,6,1,28,1,30,3,28,27,6,3,8,1,13,1,24,1,8,1,9,1,12,2,17,2,12,3,17,1,12,1,17,13,16,1,5,1,33,82,5,649,33,1,13,2,28,3,30,1,13,1,28,1,9,1,30,1,28,43,6,1,28,30,29,1,28,19,30,1,28,5,30,1,7,2,30,1,7,1,6,1,30,1,6,1,7,1,28,1,7,1,8,1,13,2,8,1,13,1,8,1,9,1,8,2,9,3,10,3,9,1,11,1,16,1,10,1,9,1,12,1,11,3,9,3,12,1,9,1,12,1,16,1,11,1,17,1,9,1,16,1,10,1,11,1,12,2,9,1,10,1,16,1,11,1,9,1,8,2,13,1,10,1,9,1,10,1,9,1,13,1,9,2,16,1,9,2,10,1,11,1,9,2,10,1,11,1,12,1,10,1,12,1,11,1,9,3,17,1,9,1,11,1,12,2,9,2,11,1,16,1,9,1,11,4,12,2,10,1,17,2,13,1,24,1,13,1,9,1,8,3,13,1,8,2,24,1,17,1,8,1,7,1,28,3,30,1,7,1,9,1,13,3,6,1,13,1,7,1,6,2,30,1,28,1,6,1,7,1,13,1,6,1,13,2,6,1,13,1,9,1,13,1,8,1,10,1,6,1,28,189,30,1,28,4,29,1,6,1,8,2,11,2,9,1,11,1,12,1,8,1,9,1,10,1,9,2,10,1,12,1,17,1,13,1,30,1,6,1,28,16,29,1,9,1,11,1,9,1,10,1,13,2,30,1,28,7,8,1,9,1,13,1,6,1,13,1,6,1,28,1,29,1,13,1,7,1,9,1,13,1,8,1,13,3,6,1,28,1,13,1,6,1,7,2,6,1,13,2,6,3,13,1,7,1,13,1,6,1,7,1,13,2,8,1,13,4,9,1,13,1,11,1,9,2,10,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,6,1,13,2,6,1,13,3,29,1,13,1,6,1,7,1,29,1,7,1,13,1,29,1,6,1,7,1,28,1,6,1,13,1,6,5,13,2,7,1,8,1,7,1,29,1,13,2,6,1,8,1,7,1,8,1,30,1,29,1,6,1,7,2,13,3,8,4,9,1,10,1,13,1,12,1,17,16,16,1,17,1,16,2,17,1,16,1,17,3,16,1,17,1,16,4,11,1,16,1,11,1,9,5,13,2,9,1,13,1,16,1,17,7,16,1,11,1,17,24,16,1,11,1,9,2,17,1,9,2,10,2,17,32,10,1,8,1,30,1,29,2,7,1,24,2,6,1,29,1,6,3,25,1,26,1,30,1,6,1,27,2,29,1,30,1,6,1,30,1,28,1,29,1,28,1,30,2,28,1,29,1,28,2,30,2,29,1,28,4,30,1,28,2,29,1,28,1,30,1,28,3,30,1,28,1,29,1,6,1,28,1,30,3,6,1,28,10,8,1,28,8,13,1,7,1,12,1,24,1,12,1,8,1,6,1,25,1,28,1,27,1,30,1,28,2,29,1,30,1,28,1,29,1,25,3,8,1,25,1,8,1,25,1,8,1,25,1,24,1,25,1,27,1,29,1,28,8,30,1,27,1,24,1,17,1,24,1,8,1,17,1,24,1,7,1,8,1,24,2,12,1,17,2,12,2,10,2,12,1,9,1,12,1,17,1,10,1,12,1,17,1,12,1,17,1,10,1,12,1,17,1,10,3,17,16,16,1,17,7,11,1,17,1,12,1,17,7,12,1,17,4,11,1,12,1,17,2,12,1,17,3,12,1,11,1,17,4,11,1,17,1,10,1,12,1,11,2,17,5,12,1,17,2,12,1,17,1,11,1,17,3,11,1,17,2,11,1,17,3,12,3,17,1,11,1,10,1,9,3,10,1,9,1,12,1,24,1,10,1,24,1,11,1,9,1,11,1,10,1,11,1,10,2,9,1,11,1,10,1,11,1,17,1,12,1,10,2,9,1,10,3,11,2,12,2,17,2,10,1,17,1,11,1,12,3,17,1,12,1,11,1,10,2,11,3,10,1,17,1,10,1,11,1,10,1,12,1,11,1,17,1,11,3,17,1,12,1,17,1,11,1,17,2,12,1,11,1,17,3,11,1,12,4,11,1,17,3,11,1,12,1,17,2,11,1,17,1,12,1,17,1,12,1,17,2,11,2,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,11,1,17,1,12,1,17,5,11,1,17,2,10,1,17,2,12,1,10,1,9,3,11,1,9,1,10,1,11,1,10,2,11,2,9,2,8,1,9,3,8,1,13,2,9,1,10,1,17,2,12,1,17,1,12,2,17,1,12,1,17,2,10,1,17,1,12,2,17,3,12,1,17,1,12,1,10,1,17,3,12,1,17,1,12,1,17,3,11,1,12,1,17,1,9,1,13,1,28,3,30,2,28,1,30,3,28,2,30,1,6,1,13,1,9,1,8,1,16,1,17,1,11,1,9,1,13,1,6,2,29,1,7,1,13,1,8,1,7,1,13,1,6,1,9,1,8,1,11,1,17,1,13,1,28,5,29,1,17,1,8,1,30,1,28,1,30,1,6,1,30,3,28,23,}, {30,1,13,1,29,1,28,5,30,2,28,1,30,2,28,1,30,1,28,1,6,1,28,2,30,2,7,1,28,2,6,1,7,1,28,1,6,1,29,1,30,1,7,1,6,1,28,1,9,1,24,2,12,2,17,3,9,1,13,1,9,1,13,1,7,1,13,1,10,1,17,2,11,1,9,1,8,1,24,1,9,1,24,1,13,2,7,1,29,1,6,1,15,1,17,1,11,1,6,2,7,1,6,1,7,1,24,1,8,1,24,2,7,1,8,1,13,1,6,1,13,1,6,1,24,1,17,2,12,1,24,1,13,2,6,1,8,1,13,1,29,1,28,12,30,1,28,10,30,1,28,1,6,3,8,2,9,1,14,1,12,1,13,1,29,2,6,2,29,1,13,1,17,2,9,1,24,2,8,2,13,1,29,1,6,2,29,1,13,1,6,1,29,1,8,1,9,1,12,1,14,1,8,1,28,1,30,1,28,7,29,1,6,1,13,2,6,1,5,1,33,169,5,2,16,1,11,1,17,10,11,1,17,1,11,1,17,1,10,1,17,1,11,1,9,1,8,1,24,1,12,1,17,8,9,1,8,1,10,1,24,1,9,3,11,1,12,1,17,26,12,1,24,1,7,1,6,2,30,1,29,1,28,1,29,1,28,2,30,1,28,24,30,1,28,1,30,1,13,1,6,1,8,1,24,1,8,1,12,1,24,1,12,1,10,1,12,1,17,18,16,1,5,1,33,83,5,644,33,1,28,5,6,1,9,1,11,1,28,49,30,1,28,50,6,1,29,1,6,1,28,1,30,1,28,1,6,3,30,1,6,1,7,1,8,2,24,1,8,2,9,1,13,2,9,1,24,1,9,3,10,1,9,1,8,1,10,1,8,1,17,1,9,4,10,1,11,2,17,1,12,1,9,2,11,1,8,1,17,1,11,1,12,1,11,2,10,1,17,1,9,1,11,2,10,1,16,1,12,1,9,4,10,1,9,1,11,1,13,2,11,1,9,3,13,1,11,1,12,1,9,1,12,1,11,1,9,2,11,3,9,1,11,1,17,1,9,1,11,1,17,1,12,1,11,1,10,1,11,5,12,1,11,1,16,3,10,1,17,1,12,1,13,1,17,1,13,2,24,1,8,3,9,1,24,1,8,1,10,1,24,3,8,2,6,1,28,5,30,1,13,4,7,2,13,1,28,1,7,1,28,1,30,2,28,2,6,1,30,1,6,1,13,1,6,1,13,2,7,1,28,197,6,1,13,1,9,1,11,1,9,1,11,1,17,1,8,1,12,1,9,1,12,1,9,1,13,1,7,1,6,1,28,5,30,1,28,8,30,1,28,1,30,1,9,1,11,1,10,3,12,1,13,1,30,1,28,2,30,1,6,1,28,2,30,1,7,1,13,1,8,2,9,1,6,1,30,1,13,1,6,3,7,1,13,2,6,1,29,1,6,1,13,1,29,1,7,2,8,1,10,1,30,1,7,2,29,1,7,1,6,2,29,1,30,1,7,1,13,1,6,1,30,1,7,1,6,2,13,2,10,1,13,1,11,1,13,1,9,1,13,1,9,1,13,1,8,2,7,1,13,1,8,1,13,2,7,1,6,1,13,7,8,1,7,1,28,1,7,2,6,1,13,4,30,1,13,1,30,1,7,1,13,3,7,1,13,1,6,1,7,1,6,1,13,1,8,1,29,1,8,1,7,4,13,1,7,1,30,1,13,2,7,1,13,2,9,2,12,1,9,1,11,1,12,1,17,11,10,1,17,11,16,1,17,1,16,5,9,3,13,1,9,1,13,1,9,4,16,1,17,5,16,1,9,1,10,1,16,2,17,15,11,1,12,1,10,1,9,2,8,1,10,1,9,1,8,1,13,2,8,1,6,2,13,1,6,1,7,1,29,1,7,2,6,1,7,1,8,1,13,1,6,1,9,1,12,1,17,26,12,1,24,1,13,1,8,1,7,1,6,1,30,1,8,1,27,1,25,2,29,1,26,1,30,1,27,1,25,1,29,1,6,1,29,2,30,1,25,1,29,1,26,1,28,11,29,1,28,2,29,1,30,2,28,1,30,1,28,6,30,1,28,1,30,1,28,13,6,1,28,7,7,1,13,1,24,1,12,1,17,1,24,1,8,1,27,2,30,1,28,2,29,2,30,1,27,1,26,1,25,1,7,1,25,1,24,1,26,1,6,1,27,1,24,1,8,1,25,1,24,1,30,1,29,1,28,8,30,1,29,1,8,1,24,2,10,1,24,1,10,1,12,1,10,3,24,1,8,1,17,1,10,1,12,4,10,1,12,1,17,1,10,1,12,1,17,1,12,2,24,1,17,1,12,2,17,20,12,1,17,8,11,1,17,5,12,1,11,1,17,2,11,1,17,1,12,1,17,9,11,1,17,1,11,1,17,1,12,1,17,2,11,1,17,1,12,1,11,1,17,2,11,1,17,5,11,1,17,5,11,1,17,1,12,1,17,1,11,1,17,1,11,1,17,1,12,2,10,1,11,2,10,1,8,1,9,1,12,1,9,1,10,2,9,1,11,1,10,3,11,1,12,1,11,1,10,2,12,1,9,1,17,1,11,5,8,1,11,1,10,1,17,1,11,1,17,3,11,1,17,1,12,1,17,3,11,1,12,2,17,2,9,1,11,1,12,1,9,1,10,2,12,1,10,1,9,2,10,1,17,2,10,1,11,1,17,1,11,1,17,2,10,1,17,3,11,2,17,2,11,2,12,2,11,1,12,1,17,6,11,1,12,2,17,1,10,1,17,2,12,2,17,5,12,2,17,4,11,1,17,3,11,1,12,2,17,1,10,2,17,1,11,2,12,1,11,2,10,1,9,1,11,1,24,1,11,1,10,2,8,1,9,1,10,1,24,1,9,1,7,1,10,1,11,1,13,1,8,1,17,1,9,1,12,2,11,1,17,4,11,1,17,1,12,1,11,1,17,5,12,1,10,2,17,2,12,1,11,1,17,3,12,1,10,2,12,1,17,1,10,1,9,1,6,1,28,4,30,2,28,3,30,1,28,2,13,2,6,1,13,1,11,1,17,2,9,1,13,1,29,1,30,1,29,1,13,1,6,1,8,1,13,1,8,1,6,1,10,1,9,1,17,1,16,1,9,1,28,5,13,1,17,1,8,1,6,1,30,1,28,1,30,2,29,1,28,24,}, {29,1,6,1,28,4,30,1,28,3,6,1,30,2,28,1,6,1,28,1,30,2,28,3,30,1,29,1,13,1,29,1,28,1,30,1,6,1,29,1,28,1,30,1,6,1,30,1,13,1,9,1,12,1,10,2,9,1,17,2,9,2,6,1,7,1,6,1,13,1,9,1,17,1,9,1,12,1,9,2,8,1,13,1,8,1,13,1,9,1,6,1,24,2,14,1,15,1,11,1,13,1,29,1,13,2,29,1,8,3,13,1,8,1,9,1,8,1,6,1,13,1,8,1,7,1,9,1,17,2,24,1,6,3,8,1,13,1,7,1,29,1,28,9,30,1,28,15,6,1,13,1,8,1,9,2,15,1,24,1,29,2,13,1,6,1,7,1,6,1,7,1,12,1,10,2,24,2,9,1,8,1,6,1,7,1,6,2,29,1,6,1,7,1,6,1,9,1,10,1,9,1,14,1,13,1,28,4,30,1,28,5,30,1,13,2,28,1,33,1,5,1,33,166,5,3,16,1,11,1,16,1,17,10,12,1,17,2,12,2,17,1,12,1,10,1,8,1,11,1,17,7,9,1,8,1,7,1,8,1,12,2,11,1,12,1,17,1,12,1,24,1,9,1,17,23,12,1,8,1,6,1,7,1,30,2,28,4,30,1,28,25,30,1,28,1,7,1,6,1,13,1,7,1,8,1,13,1,24,3,10,1,17,1,12,1,10,1,12,1,17,1,12,3,17,13,11,1,5,1,33,84,5,640,33,1,13,1,28,4,6,1,7,1,13,1,28,51,13,1,28,2,29,1,30,1,28,43,30,1,28,1,30,2,6,1,30,1,13,1,28,1,7,2,30,1,7,1,13,1,6,1,8,3,13,1,8,1,24,1,13,1,24,1,8,1,9,3,13,1,9,3,11,3,17,1,9,1,12,1,9,1,10,1,11,1,10,1,11,1,9,1,8,2,17,1,10,1,12,1,16,1,17,1,9,1,17,1,11,2,10,1,11,1,16,1,9,6,10,1,11,1,9,1,10,1,8,1,9,2,8,1,9,1,13,1,9,2,8,1,12,1,8,1,10,1,9,1,11,1,17,1,10,2,11,1,10,1,17,1,10,1,9,1,10,1,17,1,11,1,9,1,8,1,10,1,11,2,9,1,10,1,17,1,10,1,11,4,17,1,10,1,9,1,24,3,8,1,13,1,9,2,13,1,24,2,13,1,24,5,6,1,8,1,30,1,28,5,30,1,6,1,13,1,30,1,13,1,8,1,6,1,7,1,13,1,30,2,29,1,6,1,30,2,6,1,30,1,29,1,7,1,30,1,6,2,30,1,28,198,7,1,13,1,9,1,11,1,17,2,11,1,9,1,8,1,7,2,29,1,28,1,30,1,28,11,29,1,30,2,13,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,28,8,29,1,13,1,10,1,13,2,30,1,7,2,6,2,29,2,7,1,8,1,13,2,8,1,30,1,6,1,7,1,29,2,8,2,29,1,7,1,13,2,7,1,6,1,13,1,7,3,6,1,7,1,13,1,7,2,6,1,8,1,9,1,11,1,13,1,11,1,9,1,13,1,8,1,13,2,9,1,13,1,7,1,13,1,29,1,13,1,8,1,13,1,6,1,9,1,7,1,13,1,9,1,29,1,13,1,7,1,6,1,13,4,7,1,6,1,7,1,29,1,13,1,7,1,30,1,7,1,6,2,28,1,7,1,8,1,6,1,28,1,7,1,13,3,8,3,13,4,8,1,7,1,13,2,8,1,7,1,6,1,8,1,13,1,9,2,8,2,9,2,17,19,16,3,17,1,16,3,9,3,13,1,9,4,13,1,9,1,16,1,11,1,17,4,11,2,9,1,11,1,17,1,16,1,17,11,11,2,17,1,8,1,9,1,24,1,8,1,13,2,8,1,13,2,30,1,13,1,29,1,7,1,28,1,6,1,29,1,28,1,30,1,7,1,6,1,30,2,29,2,30,4,28,2,30,1,29,1,6,1,8,2,13,2,6,1,9,1,24,1,11,1,17,11,10,1,17,1,12,1,8,1,13,1,8,1,25,1,29,1,25,1,6,1,26,4,27,1,26,2,29,1,6,1,29,2,30,1,25,2,29,1,27,1,29,2,30,1,28,2,30,3,28,9,29,1,28,25,30,1,28,6,30,1,13,1,8,1,12,2,24,1,25,2,8,1,27,1,25,1,29,1,27,1,29,1,30,1,6,2,25,2,24,3,8,1,24,2,8,2,24,2,8,1,25,1,28,1,29,2,26,1,27,2,29,2,28,1,8,1,24,2,12,1,24,2,9,1,12,1,10,1,24,1,12,3,17,1,10,2,24,1,12,3,10,2,12,4,17,2,10,2,12,1,9,1,17,6,16,1,17,12,16,1,17,10,11,1,17,2,11,1,17,12,12,1,17,1,11,1,17,4,12,2,17,1,11,1,17,1,12,1,10,1,17,1,11,1,17,4,11,1,17,2,12,1,17,2,10,1,17,1,10,1,17,2,12,1,17,4,11,1,17,1,11,3,9,1,10,1,12,1,9,1,8,1,9,1,10,1,9,2,10,2,9,2,10,1,12,1,10,2,12,1,9,1,10,1,11,1,9,1,11,1,12,1,11,2,17,3,11,1,17,3,12,1,11,1,17,2,10,1,12,1,11,1,12,1,9,1,11,1,17,1,10,1,11,2,10,1,11,1,10,1,11,2,9,1,10,1,11,1,12,1,11,1,10,1,12,1,17,2,11,1,10,1,12,1,11,1,17,1,11,2,17,3,11,1,17,2,12,1,11,2,17,3,12,1,11,1,17,2,12,2,17,2,11,1,17,2,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,11,2,17,1,11,1,17,1,11,1,17,2,11,1,12,1,11,1,12,1,10,1,11,1,10,1,12,1,11,4,9,1,24,1,11,1,24,1,11,1,10,1,24,1,13,1,10,1,9,2,8,1,13,1,9,1,7,1,13,1,24,1,12,4,17,1,12,1,17,1,12,1,10,1,17,2,12,1,17,3,11,1,12,1,17,1,12,1,10,1,17,1,12,1,17,1,12,1,9,1,10,1,12,1,17,2,12,3,17,1,12,1,13,1,28,4,29,1,30,1,28,5,30,1,6,1,30,1,7,1,6,2,9,1,16,1,17,1,13,1,30,1,29,1,6,1,29,2,8,1,13,5,8,1,9,1,12,1,13,1,30,1,28,4,13,1,12,1,8,1,30,1,28,1,30,3,28,25,}, {29,1,13,1,30,1,28,6,30,1,28,1,29,1,28,3,30,1,28,1,30,1,29,1,28,1,30,1,7,1,28,1,6,1,28,1,29,1,6,1,28,2,6,1,29,2,6,1,13,1,9,1,10,1,8,1,9,1,17,3,9,1,13,2,7,1,13,2,8,1,17,2,9,1,12,1,10,1,9,1,24,1,13,1,8,1,9,1,6,1,13,2,12,1,17,1,9,1,13,1,6,1,13,1,8,1,13,2,9,3,8,3,7,1,6,1,13,1,7,1,9,1,17,1,15,1,12,1,6,2,13,1,24,1,8,1,6,1,28,25,6,1,7,1,6,1,8,2,10,1,11,1,9,1,24,1,29,1,13,1,30,1,6,2,13,1,8,1,17,1,24,1,12,1,10,1,24,1,13,2,6,1,13,1,29,1,30,1,29,1,6,2,24,1,9,1,14,2,24,1,28,1,30,2,28,5,30,1,28,1,6,1,13,1,17,1,30,1,33,166,5,3,17,13,12,1,17,2,12,1,17,1,12,2,17,1,9,2,12,1,17,7,11,1,13,2,12,1,17,1,12,2,11,1,17,1,12,2,24,1,10,1,12,1,11,1,17,20,24,2,13,1,30,2,28,28,30,1,29,1,7,1,8,1,9,1,12,1,17,2,12,2,9,3,11,1,9,1,12,1,10,1,12,3,17,1,12,1,17,7,11,1,17,1,12,1,17,6,11,1,33,85,5,636,13,2,28,4,6,1,28,54,30,1,7,1,30,1,28,46,29,1,6,1,30,2,6,1,29,1,6,1,8,1,6,2,13,2,6,1,13,1,6,1,13,1,7,1,13,2,8,1,7,1,8,1,10,2,8,2,11,1,9,1,11,2,9,3,11,1,9,3,11,3,8,1,9,1,10,1,11,2,10,1,9,1,11,1,8,1,9,1,12,1,9,1,11,1,17,1,11,1,8,1,10,1,13,1,9,1,11,1,9,7,11,1,8,1,9,1,10,2,9,1,11,1,9,1,7,1,11,1,9,1,11,2,9,1,10,1,17,1,9,1,12,1,17,1,11,2,9,1,11,1,9,2,17,2,9,1,17,1,9,1,10,1,11,1,9,1,12,1,9,1,17,4,9,2,24,1,13,1,24,2,8,1,24,3,10,2,8,1,24,1,8,2,10,1,8,1,7,1,29,1,13,1,29,1,28,6,30,1,6,2,30,1,29,1,8,1,13,1,8,1,7,1,13,1,7,1,9,2,6,2,13,2,7,2,13,2,30,1,28,187,30,1,28,11,13,3,8,1,13,1,9,1,13,1,6,1,30,1,28,4,30,1,28,7,30,1,28,1,6,1,13,4,9,1,13,3,8,1,13,1,28,6,30,1,29,1,8,1,13,1,8,3,6,1,13,1,6,3,28,1,13,2,10,1,9,1,6,1,13,3,7,1,30,1,13,1,30,1,12,1,13,1,6,1,13,1,29,1,30,1,13,1,7,1,29,1,30,1,7,1,6,1,7,1,6,2,7,3,8,2,13,1,8,2,9,1,10,1,13,2,17,1,8,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,30,2,13,1,30,1,13,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,13,1,6,1,29,1,7,1,6,4,7,1,13,2,7,1,13,1,6,1,7,1,13,1,6,1,8,1,13,1,8,1,30,1,7,1,6,1,13,2,7,1,8,1,13,3,8,1,7,1,13,2,8,1,13,2,8,2,29,1,9,1,13,1,10,1,17,17,16,1,11,1,16,2,11,1,9,4,13,1,9,1,13,2,8,1,16,2,17,3,16,1,17,1,11,1,9,2,16,1,17,12,12,2,24,1,12,1,9,1,10,1,8,2,6,4,29,2,30,2,28,1,30,1,28,1,29,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,6,1,28,1,29,1,30,1,29,2,28,1,29,1,28,3,30,1,29,1,30,2,28,2,13,1,8,1,24,1,9,1,12,1,11,1,17,1,9,1,11,1,9,1,13,1,24,2,13,1,6,1,13,1,7,1,6,2,8,1,6,1,25,1,6,1,25,1,26,1,25,1,6,4,26,1,27,1,25,1,26,1,29,1,26,1,25,1,30,1,27,1,29,2,28,1,29,1,28,2,30,1,28,42,29,1,6,1,8,2,12,1,24,1,6,1,25,2,29,1,27,1,29,1,27,1,29,1,28,1,6,1,28,1,8,1,24,4,8,4,24,2,8,1,25,1,8,2,25,2,29,1,27,1,6,1,30,1,6,2,25,1,24,2,12,2,17,1,12,1,10,1,17,1,9,1,12,7,17,1,12,2,17,1,10,1,12,3,10,1,12,1,17,3,12,1,17,12,16,1,17,11,11,1,17,1,10,1,17,6,12,1,17,3,12,1,17,11,11,1,12,1,17,1,11,1,17,1,11,1,17,3,12,1,17,4,12,1,17,6,12,1,17,7,12,1,11,1,10,1,11,1,17,1,12,2,17,1,9,3,10,1,12,2,9,3,11,1,10,2,12,1,11,2,12,1,11,2,12,1,11,1,10,1,12,1,11,4,17,1,12,1,17,2,11,1,17,1,11,1,17,1,12,1,17,4,12,2,9,1,17,2,10,1,17,1,11,2,17,1,10,1,12,2,10,1,11,2,10,1,17,1,11,4,10,1,11,1,12,1,17,2,10,1,17,2,10,1,17,1,12,1,11,1,12,1,11,1,17,1,12,1,10,1,11,1,17,4,12,1,17,3,12,1,11,1,12,1,17,3,11,1,12,3,17,2,12,1,17,2,12,1,17,3,12,1,11,2,12,1,11,1,10,1,12,1,11,3,9,1,10,2,9,2,11,1,8,1,10,2,24,1,10,1,8,1,24,1,9,1,8,2,13,1,24,2,13,1,12,1,17,1,10,1,12,2,17,1,12,1,17,1,12,1,17,1,12,1,10,1,17,2,12,2,17,1,12,1,11,1,17,3,9,1,12,4,17,1,12,2,17,1,12,2,10,2,8,1,28,4,30,2,28,1,30,1,28,2,7,1,6,2,13,1,30,1,6,2,9,1,16,1,17,1,13,1,30,1,6,1,28,1,29,1,6,1,13,2,8,2,13,1,8,1,9,1,17,1,12,1,13,1,28,5,8,1,12,1,13,1,30,1,29,1,7,1,28,1,30,2,28,24,}, {28,2,29,1,28,6,6,1,28,2,29,1,28,1,30,1,28,2,13,1,6,1,28,2,29,1,28,2,6,1,30,2,6,5,13,1,8,1,11,1,9,2,17,4,16,1,9,1,13,1,6,1,13,1,30,1,8,1,17,2,16,1,17,1,10,1,9,1,8,1,10,1,8,3,13,2,15,1,17,1,9,2,13,1,8,1,7,1,8,2,13,1,9,1,8,1,13,1,24,1,8,2,13,1,29,1,8,1,17,2,10,1,9,1,13,1,6,1,13,2,24,1,13,1,30,1,28,3,30,1,28,20,30,1,13,2,8,1,9,1,11,1,17,1,9,1,7,1,8,1,29,1,13,1,6,1,28,1,7,1,8,1,17,1,15,1,12,1,10,1,24,1,13,2,29,1,6,1,7,1,6,2,30,1,13,1,7,1,24,1,10,1,14,1,24,1,30,1,28,1,29,1,30,1,28,4,6,1,30,2,13,1,7,1,6,1,13,1,5,1,33,164,5,2,16,1,17,1,11,1,17,2,16,1,17,6,16,1,11,1,16,1,9,1,24,1,17,2,12,2,17,1,9,1,12,1,17,7,10,1,24,1,13,1,12,5,9,1,12,1,9,1,17,1,12,1,8,1,9,1,12,1,9,1,10,1,17,9,11,1,17,7,12,1,8,1,13,1,30,1,28,27,30,1,7,1,6,1,8,1,10,1,11,1,17,11,12,2,9,2,24,1,10,1,11,1,17,3,12,1,17,1,12,1,17,2,12,1,17,7,11,1,17,1,5,1,33,84,5,632,33,2,28,63,30,1,28,3,29,1,28,44,30,1,6,1,28,1,6,2,13,1,29,1,13,1,7,1,13,1,29,1,13,3,9,1,29,1,9,1,8,2,13,1,8,1,10,1,13,1,9,2,11,1,9,3,8,1,11,1,17,1,9,1,10,1,9,3,11,2,10,1,12,1,24,1,9,4,8,1,9,1,10,1,9,1,16,1,9,2,10,1,8,1,11,1,13,1,8,1,9,1,8,1,9,2,10,2,9,1,10,1,9,2,10,3,9,1,8,1,12,1,9,4,12,1,10,1,9,1,10,2,11,1,9,5,11,1,10,1,9,1,11,2,9,1,11,1,10,1,11,2,10,1,17,3,10,1,8,1,7,1,24,1,13,1,9,1,8,1,24,1,10,1,9,1,8,1,17,1,8,2,24,1,12,1,8,1,9,1,8,1,24,1,8,1,6,1,30,1,6,1,7,1,6,1,28,11,6,2,30,1,6,1,13,1,8,1,13,1,8,1,13,7,8,1,28,99,29,1,28,1,30,1,28,100,6,1,7,1,28,4,30,1,28,2,6,1,30,1,28,3,30,2,6,1,30,1,6,1,30,1,7,1,13,6,8,2,13,1,30,1,28,6,13,2,8,1,13,1,9,1,8,1,30,1,6,3,13,1,30,1,7,1,29,1,30,1,13,4,7,1,13,2,6,4,13,1,30,1,6,1,13,2,28,1,13,2,30,1,13,1,28,1,30,1,6,1,13,1,28,1,8,1,13,1,6,1,10,1,6,1,10,1,11,1,8,1,13,1,9,3,13,1,6,2,13,1,30,1,6,1,13,1,8,1,30,1,7,1,13,1,29,1,7,1,6,1,30,1,7,1,13,1,30,1,6,1,28,1,6,6,13,1,29,2,6,2,7,1,6,1,13,1,30,1,7,4,13,5,7,3,8,1,7,1,8,1,9,1,7,1,8,1,6,1,13,1,8,2,13,1,7,1,13,3,6,1,13,1,9,1,13,1,12,2,17,13,16,4,9,1,16,1,13,1,9,3,13,2,8,1,16,2,17,3,11,2,8,1,9,1,10,1,16,1,17,9,12,2,9,1,24,1,8,1,24,1,8,1,13,1,8,1,6,1,13,1,8,1,7,1,30,1,29,1,30,1,28,2,30,1,29,1,28,1,30,1,28,6,30,2,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,2,29,1,30,2,28,2,30,1,28,1,30,1,6,1,28,2,29,1,13,1,7,1,9,1,12,1,24,1,12,1,13,1,8,1,13,1,8,1,13,1,6,1,8,1,6,1,8,1,24,2,8,1,6,3,25,2,7,1,30,1,27,1,8,1,29,1,25,3,27,3,30,1,29,1,30,2,28,39,30,1,28,6,6,1,13,1,24,3,8,2,29,1,27,1,29,1,27,2,26,1,25,1,6,1,30,1,26,1,8,1,12,1,24,1,8,1,24,2,8,1,24,1,8,1,24,1,10,1,24,4,10,1,25,4,26,1,6,1,24,3,12,2,24,1,10,1,12,4,9,1,12,2,17,1,12,1,17,1,12,1,17,1,12,2,17,1,10,1,12,1,9,1,12,1,9,1,17,1,12,2,17,18,11,1,17,6,11,1,17,1,12,1,17,2,12,1,17,10,12,1,17,3,12,1,17,2,11,1,17,1,11,1,17,1,11,1,17,1,12,1,17,2,12,1,17,2,9,1,17,1,10,1,11,1,17,3,12,1,17,1,11,1,17,3,11,1,17,2,12,1,11,3,10,1,17,3,11,1,9,2,10,1,9,1,8,1,9,2,12,1,10,1,12,1,9,1,11,2,12,1,17,1,9,1,11,3,10,1,9,1,11,1,8,1,17,2,12,1,10,1,12,1,17,1,11,1,17,2,12,1,17,1,12,1,11,1,12,1,17,1,11,1,12,2,11,1,12,1,9,1,17,1,10,1,9,1,10,1,17,1,10,1,12,1,10,1,11,1,12,2,10,2,11,2,8,1,17,1,12,1,11,1,9,1,17,1,11,3,17,1,12,3,11,3,12,3,17,1,11,1,17,3,11,1,12,1,17,1,12,3,17,1,12,1,17,2,11,1,12,1,17,2,11,1,12,3,17,1,12,1,11,1,12,1,17,1,11,2,12,3,9,1,10,1,11,1,10,1,12,1,8,1,17,1,24,1,11,1,10,2,9,3,11,1,9,1,10,1,24,2,11,1,8,3,24,1,8,2,17,1,24,1,17,1,12,1,17,1,10,1,17,1,12,1,9,1,12,2,17,1,10,1,17,3,12,2,17,1,11,1,10,1,17,1,12,2,17,1,10,1,12,1,17,3,11,1,12,2,17,1,10,1,8,1,30,1,28,6,30,3,13,1,6,1,28,1,29,1,30,2,6,1,9,1,16,1,9,1,11,1,8,1,29,1,6,1,29,1,30,1,13,3,8,1,7,1,13,1,9,1,8,1,17,2,8,1,28,5,13,1,12,1,7,1,28,1,30,2,28,2,30,1,28,24,}, {6,2,28,6,6,1,28,2,29,1,30,1,28,1,7,1,28,1,30,1,7,1,28,1,29,2,28,1,30,1,29,1,30,1,28,1,6,2,28,1,6,1,13,4,8,1,24,1,8,1,12,1,16,1,17,2,8,1,13,1,7,1,13,1,7,2,8,1,16,1,17,1,16,1,10,1,12,1,9,1,8,1,10,1,24,2,8,1,13,1,6,1,17,2,11,1,8,1,13,2,8,1,6,1,13,1,9,1,8,1,7,1,13,2,8,1,6,1,30,1,13,1,7,1,9,1,17,1,14,1,9,1,13,2,7,1,8,1,24,1,9,1,28,23,30,1,28,1,6,1,7,2,13,1,24,1,9,1,15,1,9,1,7,1,29,1,6,2,28,1,29,1,6,1,8,1,12,2,17,1,9,2,6,6,29,1,6,1,29,1,6,1,15,1,12,2,9,1,28,1,30,3,28,2,30,1,28,2,30,2,13,2,30,1,13,1,5,1,33,163,5,2,16,1,17,2,11,1,17,8,9,2,24,1,10,1,11,1,17,2,12,4,17,8,24,1,13,1,30,1,13,1,10,2,9,1,13,1,9,2,12,4,17,1,9,1,24,1,10,1,9,1,11,1,17,6,11,1,16,1,11,1,17,6,10,2,30,2,28,26,6,1,29,1,7,1,13,1,9,1,24,2,12,2,17,1,12,1,17,1,11,1,17,5,11,1,17,2,12,1,17,2,12,1,10,1,9,2,12,1,17,1,12,1,17,1,12,2,17,1,10,1,17,1,10,1,17,6,11,1,5,1,33,84,5,626,33,1,28,68,6,1,28,2,30,3,28,7,30,2,29,1,28,33,29,1,6,1,13,1,6,3,13,2,7,1,13,3,9,1,13,1,8,3,13,1,8,1,9,1,10,1,9,1,24,1,11,1,8,1,11,1,10,1,11,1,9,3,11,1,10,1,9,3,12,1,9,1,12,1,9,1,8,1,12,1,10,1,9,4,12,1,8,2,9,3,8,1,11,1,8,1,9,1,10,2,9,2,12,1,10,1,8,1,13,1,9,1,11,1,9,1,11,1,9,3,11,1,9,2,11,1,9,2,17,1,8,1,9,2,16,1,9,1,17,1,9,1,11,1,9,1,10,1,11,1,9,1,10,1,11,1,9,2,11,2,17,1,12,1,17,2,9,1,7,1,6,1,13,1,24,1,8,3,13,1,24,2,8,1,24,1,8,1,12,1,24,2,8,1,10,1,7,1,24,2,8,2,30,1,29,1,30,1,7,2,30,1,28,12,6,1,7,1,30,1,13,1,8,2,13,3,10,1,9,4,17,1,28,206,30,1,28,7,30,1,6,1,30,1,7,1,13,2,6,1,13,6,6,1,13,1,29,2,28,5,30,1,9,2,8,2,13,4,7,1,13,1,30,1,13,1,30,1,7,1,6,1,30,1,13,2,30,1,13,3,8,1,30,1,6,1,9,1,30,2,13,2,29,1,13,1,7,2,30,1,13,1,6,1,29,1,9,1,7,1,13,1,30,1,6,1,7,1,8,1,6,1,9,1,8,1,9,2,8,1,9,1,8,1,9,1,13,6,7,1,29,1,7,1,8,1,30,1,28,1,6,1,28,1,13,1,28,1,13,1,6,1,30,1,7,2,28,1,29,1,30,1,6,1,29,1,30,1,6,2,30,2,6,2,30,1,13,1,7,1,6,2,7,1,6,2,13,1,6,1,13,1,7,1,13,1,8,1,6,1,8,2,13,1,6,1,8,1,13,1,8,1,6,1,8,1,9,1,13,2,6,2,13,4,8,2,13,1,10,1,17,8,16,2,17,2,16,2,11,1,9,3,13,3,9,1,8,1,9,1,17,3,16,2,9,1,13,1,8,1,17,9,11,1,17,1,10,1,9,1,10,1,8,4,24,1,7,1,8,1,13,2,29,1,28,19,30,1,28,3,30,2,28,1,29,1,30,2,6,1,28,1,29,1,6,1,30,2,29,2,30,1,29,1,30,1,28,1,6,1,28,2,29,1,6,1,13,1,24,3,8,1,13,2,25,3,6,1,25,1,24,1,8,1,29,1,8,1,13,1,7,4,6,1,8,1,25,2,26,1,25,1,8,1,26,2,30,2,29,2,30,1,28,46,29,1,8,1,24,3,8,1,6,1,8,1,27,1,29,1,25,1,27,2,29,1,25,1,29,1,25,1,8,1,12,1,24,2,8,1,24,1,25,1,24,2,10,1,12,1,24,4,8,1,24,1,8,1,25,2,6,2,8,2,10,1,24,1,12,1,10,2,24,1,12,1,24,1,9,1,10,1,17,1,12,1,17,2,12,4,10,1,17,1,9,1,12,2,17,26,12,1,17,6,12,1,17,2,11,1,17,2,12,1,17,11,12,1,17,3,12,1,17,2,12,1,17,1,11,1,12,1,17,6,11,1,17,6,11,1,17,4,12,1,17,3,10,1,12,1,11,1,9,1,11,1,10,1,9,3,24,1,9,2,10,2,9,3,12,1,10,2,9,1,11,1,12,2,9,1,11,1,9,1,11,2,12,2,11,1,17,1,11,2,17,1,11,1,12,1,10,1,12,1,17,2,10,1,12,1,11,1,17,1,10,1,11,1,17,1,11,1,9,1,11,4,12,4,10,1,11,4,10,1,12,1,10,1,12,1,11,1,12,2,11,1,10,1,11,1,12,1,10,1,17,2,11,2,12,1,11,1,17,1,12,1,17,1,10,1,17,4,12,2,17,1,11,1,12,2,17,1,11,1,17,1,11,2,17,2,10,1,11,1,17,1,12,1,17,1,12,2,17,1,12,3,17,1,9,1,12,1,17,1,12,1,10,3,17,1,9,1,10,2,24,1,12,1,9,1,10,1,8,1,10,1,8,1,10,2,13,1,10,1,8,1,9,1,8,1,24,1,9,1,24,1,10,1,11,1,12,1,17,2,11,1,12,2,11,1,17,1,12,1,10,1,17,5,10,1,12,1,17,4,12,1,10,1,17,2,12,1,17,2,11,1,12,2,10,1,8,1,13,1,28,5,30,2,28,1,30,2,13,1,6,1,30,4,13,1,8,1,11,2,10,1,24,1,29,1,6,3,13,1,6,1,13,1,8,1,13,1,24,1,8,1,15,1,12,1,9,1,13,1,28,5,8,1,12,1,6,1,28,1,29,2,28,1,29,1,30,1,28,24,}, {6,1,13,2,28,4,30,1,28,2,30,2,6,1,28,1,30,2,29,1,28,2,29,1,30,3,6,2,30,2,29,1,30,1,29,1,7,1,29,1,13,2,9,5,16,1,17,1,9,1,7,1,6,1,28,1,13,1,7,1,8,1,16,1,17,1,10,1,9,1,17,1,15,1,24,1,9,1,8,1,24,1,13,1,6,1,8,1,17,2,9,1,6,1,13,1,7,1,13,1,6,1,13,2,11,1,7,1,9,1,8,1,7,1,13,1,6,1,7,1,8,2,14,1,17,1,15,1,9,1,6,2,13,1,24,1,13,1,28,14,30,1,28,3,6,1,28,6,6,2,11,1,13,1,8,1,9,2,24,1,13,1,28,1,13,1,6,1,30,2,29,1,13,1,24,1,10,2,7,3,6,1,7,1,6,2,30,1,29,1,24,1,13,2,24,1,9,1,15,1,24,1,28,1,7,1,28,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,13,1,8,1,28,1,6,1,5,1,33,162,5,2,11,2,17,2,16,1,11,1,16,1,17,6,12,1,7,1,24,2,8,1,24,1,12,2,17,1,12,1,17,8,9,1,6,2,30,1,8,1,10,1,8,1,6,1,28,1,29,1,24,1,17,3,10,1,12,1,10,1,9,2,13,1,10,1,17,6,11,1,9,2,12,1,17,4,12,1,10,1,7,1,30,2,28,24,6,1,13,1,8,2,24,1,13,1,8,1,24,1,8,1,9,1,8,1,24,1,10,1,9,1,12,1,9,1,17,1,11,1,12,1,17,5,12,1,17,1,12,2,17,2,10,1,17,2,12,2,17,2,12,4,17,5,11,1,33,87,5,622,33,2,28,69,7,1,28,3,30,1,28,7,30,1,6,1,28,1,29,1,28,32,29,1,6,1,30,1,29,1,28,1,13,2,8,1,9,1,13,2,8,1,9,8,10,1,9,1,12,1,8,1,9,1,13,1,11,1,9,1,11,1,9,1,12,1,9,1,11,1,9,1,10,1,11,1,9,1,8,1,11,2,9,1,8,1,10,1,9,5,10,1,13,1,11,1,8,1,9,4,8,1,10,2,9,4,8,1,9,1,8,1,10,1,9,2,10,1,9,5,8,1,9,1,8,1,10,1,12,2,16,1,11,1,9,1,17,1,11,1,10,2,9,1,11,1,10,1,9,1,10,1,11,1,10,1,17,1,11,2,17,1,12,1,10,1,7,1,29,1,7,1,6,1,8,1,6,2,7,1,6,1,8,1,24,1,7,1,10,1,24,1,13,1,24,2,8,1,24,1,10,1,8,3,7,1,8,1,29,1,30,1,29,2,7,1,30,1,13,1,30,1,28,12,13,5,9,1,8,1,9,1,11,2,10,1,9,1,12,1,13,1,28,163,30,1,28,14,6,1,28,24,30,1,28,3,6,1,28,3,6,1,30,1,13,1,7,2,6,1,13,1,7,2,6,1,13,3,7,1,13,1,6,2,30,1,28,2,30,1,28,2,30,1,11,1,10,1,9,2,7,1,9,1,13,2,29,2,6,1,30,1,6,1,13,1,30,3,29,1,13,1,9,1,13,2,9,1,7,2,30,1,6,1,30,1,13,1,30,1,28,1,6,2,13,1,30,1,6,1,13,1,6,1,7,1,29,1,7,1,30,1,6,1,13,1,28,1,6,1,8,1,13,2,8,2,13,1,8,1,9,1,8,1,13,2,7,1,6,1,7,1,6,1,29,1,13,1,30,1,6,1,30,1,13,1,30,1,6,1,7,1,13,1,6,1,7,1,30,1,29,1,6,2,28,1,13,1,29,1,6,1,28,1,30,1,29,1,6,1,28,1,6,1,13,3,7,1,6,1,30,1,29,1,13,1,29,1,24,1,29,1,8,1,7,1,13,3,7,2,13,2,9,1,13,2,8,1,13,1,9,3,8,1,13,1,8,1,13,2,7,1,6,1,8,1,6,1,8,1,6,1,11,1,17,8,16,1,17,1,16,2,9,5,13,2,9,1,16,1,17,3,11,2,13,1,9,1,11,1,17,8,12,1,17,2,9,1,10,1,24,1,9,2,8,2,13,1,7,2,29,1,30,2,28,22,30,3,29,1,28,2,29,1,28,1,30,2,28,2,30,2,29,1,30,2,6,1,30,1,28,1,30,1,29,1,30,2,28,1,6,2,24,2,13,1,8,2,6,1,7,1,25,1,8,3,24,1,13,1,24,1,8,2,13,1,24,2,8,2,25,1,30,1,27,1,25,2,27,2,25,1,29,2,30,1,28,14,30,1,28,27,29,1,28,1,6,1,27,1,26,1,12,2,8,1,24,2,8,1,10,1,27,1,25,1,8,1,25,1,27,2,26,1,25,1,27,1,25,1,29,1,25,1,8,1,24,1,10,1,12,1,24,1,8,1,24,4,12,2,24,1,12,1,24,2,8,2,25,1,8,1,24,1,10,2,24,1,10,1,17,2,12,1,10,1,12,2,9,1,17,1,12,1,17,1,12,1,9,1,12,1,17,2,12,2,17,1,12,2,17,38,12,1,17,5,11,1,17,4,12,1,17,6,12,1,17,2,11,1,17,3,12,2,11,1,17,2,12,1,17,1,12,1,17,1,12,1,17,5,12,2,17,3,12,1,10,1,11,1,9,1,10,2,9,3,10,2,9,1,11,1,9,3,11,1,9,1,10,2,9,1,10,4,9,1,12,1,11,1,17,1,11,1,12,1,17,1,12,1,11,1,17,2,11,1,17,2,12,1,17,3,11,1,17,1,12,2,11,2,12,1,10,1,12,1,11,1,17,1,11,1,17,1,11,1,10,1,17,1,12,1,11,1,17,1,10,1,11,1,17,1,10,2,11,1,17,1,11,1,17,1,11,1,10,1,11,3,9,1,12,1,11,2,10,1,12,2,11,1,10,2,17,1,12,1,17,1,12,1,11,1,17,1,11,1,17,2,12,4,11,2,17,1,11,1,12,3,17,1,9,1,17,2,9,1,17,1,11,3,12,1,10,2,11,5,10,3,9,1,11,1,10,1,9,1,11,2,9,3,8,1,9,1,8,1,10,1,24,1,7,1,8,1,13,1,12,1,10,2,17,1,9,1,12,6,17,1,12,2,17,2,10,1,12,1,10,1,11,1,17,2,12,1,17,7,12,2,10,2,13,1,8,1,28,7,30,1,28,3,30,1,6,1,28,1,30,2,6,1,29,1,11,2,9,1,10,1,9,1,13,1,7,1,6,1,28,1,6,2,8,2,13,1,12,1,9,1,10,1,12,1,9,1,13,1,28,5,8,1,10,1,9,1,29,2,30,2,28,26,}, {6,1,30,1,6,1,30,1,28,3,30,1,28,3,29,1,6,1,29,1,28,1,30,1,6,1,29,1,28,3,29,1,28,2,6,1,30,1,6,2,28,1,7,1,13,1,28,1,7,2,9,1,15,1,24,1,12,1,8,1,17,2,9,1,13,2,7,1,6,1,29,1,6,1,17,3,12,1,9,1,10,1,9,1,8,2,7,1,13,1,7,2,8,1,14,1,12,1,13,2,7,1,29,1,13,2,24,1,9,1,8,1,9,1,13,2,8,1,13,2,8,2,14,1,17,1,15,1,8,1,7,1,13,1,24,1,8,1,6,2,28,24,13,1,24,1,9,1,13,1,10,1,9,1,24,1,9,1,8,1,6,2,29,1,6,1,30,1,7,1,13,1,24,1,9,1,12,1,24,1,7,1,13,1,8,1,6,3,29,1,13,1,30,1,13,2,9,1,14,2,9,1,8,1,13,1,30,1,29,1,28,2,30,1,28,3,29,1,13,1,12,1,6,2,5,2,33,161,5,1,16,1,11,3,17,2,16,1,17,6,16,1,10,1,13,1,9,1,24,1,13,1,8,1,9,1,10,2,12,1,17,8,6,1,28,1,29,1,13,1,24,1,12,1,28,1,30,1,28,1,30,1,24,1,12,1,24,1,9,2,17,2,9,2,13,1,24,1,17,6,9,1,17,1,12,1,17,5,24,1,8,2,30,1,28,22,30,1,29,1,6,1,7,1,8,1,6,1,8,2,6,1,8,1,24,1,13,1,8,4,10,1,9,1,12,1,10,2,17,1,12,2,17,3,12,1,17,1,12,1,17,1,9,1,17,1,24,1,17,1,12,1,17,3,12,1,17,9,9,1,33,88,5,620,28,62,30,1,28,6,30,1,28,1,6,1,28,2,6,1,28,9,30,1,29,1,30,2,6,1,30,2,28,25,30,3,6,2,24,1,6,3,24,1,13,2,8,1,9,1,8,1,9,2,10,1,9,2,8,1,10,2,12,1,11,1,9,1,8,2,17,1,9,2,8,1,9,2,12,1,10,1,9,3,10,1,17,1,9,1,10,2,9,3,8,1,11,1,13,1,11,1,10,1,12,1,9,2,11,1,9,1,10,2,9,2,8,4,11,1,24,1,11,2,10,1,9,1,10,1,8,1,9,2,8,3,9,1,8,1,9,5,12,1,9,2,11,1,9,1,11,1,9,2,17,1,8,1,10,1,17,1,9,1,11,1,12,3,9,1,29,1,30,1,29,1,6,3,8,1,30,1,7,2,6,2,7,1,8,1,24,1,8,1,12,1,24,2,9,1,24,4,8,1,7,1,6,1,28,2,29,1,30,1,6,1,29,1,28,1,7,1,13,1,6,1,28,11,6,1,13,3,10,1,9,2,10,1,11,1,12,2,10,1,12,1,28,201,30,1,28,1,30,1,28,2,6,1,30,1,28,1,6,1,7,1,13,1,6,1,13,1,8,1,13,3,6,1,13,3,30,1,6,2,30,1,28,2,6,1,30,1,28,2,6,1,30,1,13,1,11,1,9,2,8,2,13,1,7,1,13,1,28,1,6,1,30,2,13,3,6,1,7,1,13,1,29,1,13,1,7,1,9,1,7,1,6,1,13,1,28,1,7,1,6,2,7,1,13,1,29,1,7,2,30,1,6,2,7,4,6,1,7,1,30,1,13,2,6,1,13,2,9,2,11,1,9,1,13,2,8,1,7,1,13,1,8,1,13,1,6,2,13,1,6,3,28,1,30,1,7,1,6,1,30,3,13,1,30,2,6,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,6,3,28,1,7,3,30,1,13,1,29,1,13,1,30,1,13,1,6,2,13,2,6,1,13,1,7,1,13,4,9,1,13,1,7,1,9,1,13,1,9,2,13,2,8,1,7,1,13,2,7,2,13,3,8,2,17,7,16,3,9,2,13,1,9,4,11,1,16,2,17,2,11,1,8,1,13,1,9,1,16,1,17,8,12,1,11,1,10,1,12,2,24,1,8,1,24,2,8,1,13,1,6,1,28,1,30,2,28,27,30,1,28,6,30,2,28,1,29,3,6,1,30,2,28,1,30,3,28,2,30,1,6,1,13,1,24,2,8,1,24,1,8,2,7,1,6,1,24,1,8,2,6,1,8,1,6,1,7,1,24,1,25,1,8,1,25,1,8,1,24,1,8,1,26,1,24,1,25,1,6,1,29,3,30,2,28,44,25,1,8,1,24,1,8,1,24,6,26,1,25,3,26,1,25,1,27,1,25,2,27,1,8,2,24,1,12,1,10,2,24,1,12,1,24,2,10,4,24,1,17,1,24,1,12,1,10,1,24,1,10,1,24,1,12,1,24,1,12,2,10,1,17,1,24,1,12,1,17,1,10,1,24,1,17,1,12,1,10,2,17,1,24,1,11,1,17,2,12,1,17,3,11,1,12,1,17,46,12,1,11,1,17,4,12,1,17,3,11,1,17,10,11,1,17,2,11,2,17,3,11,1,17,1,12,1,17,1,11,1,12,1,10,1,12,1,10,1,9,1,10,1,9,1,11,1,9,2,8,1,9,1,12,1,9,1,10,1,9,1,10,2,9,1,10,1,9,1,10,1,11,1,9,1,11,2,12,1,9,1,10,2,17,9,11,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,11,4,12,1,9,1,17,1,11,2,9,1,11,2,12,1,11,1,12,1,11,1,12,1,11,1,12,1,9,1,11,2,10,1,11,2,17,1,12,1,11,1,12,1,17,3,10,1,11,2,10,1,17,1,11,1,12,2,10,1,17,1,11,1,17,2,12,2,11,1,17,3,11,1,10,1,17,2,11,2,12,3,11,2,17,1,12,1,17,2,10,1,11,1,17,1,11,2,17,1,11,1,10,2,12,1,10,1,11,1,10,3,9,1,11,1,24,1,10,2,8,1,9,1,10,1,8,1,24,3,9,1,11,1,13,1,17,1,10,1,17,1,24,1,9,1,13,1,17,1,8,1,24,1,12,3,17,4,10,1,17,1,12,1,10,1,12,1,11,1,17,3,12,2,17,3,12,1,17,1,10,1,8,1,7,1,30,1,28,3,11,1,28,2,30,3,28,1,30,1,28,1,30,1,28,1,6,1,29,1,28,1,13,1,9,4,13,1,7,1,6,5,8,1,7,1,8,2,24,1,10,1,11,1,24,1,13,1,28,5,24,1,9,1,7,1,28,1,29,1,30,2,28,1,29,1,28,24,}, {6,1,28,1,30,2,28,5,30,1,28,2,29,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,28,5,6,1,28,2,30,2,29,1,13,1,6,1,13,1,24,1,11,1,10,1,12,1,9,2,17,1,10,1,7,1,13,1,28,1,6,1,7,1,8,1,17,3,16,2,9,2,24,1,8,1,29,1,6,2,8,1,9,1,17,2,13,3,6,1,7,1,13,1,9,1,8,1,12,1,24,1,8,1,7,1,29,1,6,1,24,1,8,1,11,1,14,2,15,1,8,1,6,1,8,2,24,1,6,1,28,2,30,1,28,9,30,1,28,7,29,1,30,1,28,3,6,1,7,1,13,1,8,1,13,1,8,2,24,1,13,1,30,1,6,1,29,1,6,1,28,1,7,1,12,1,10,2,9,1,10,1,13,1,7,2,6,2,30,2,29,1,30,2,9,1,12,1,9,1,12,1,10,1,7,1,29,1,30,4,28,2,30,1,28,3,24,1,28,1,6,1,9,1,5,1,33,160,5,1,16,1,11,3,16,1,17,1,16,1,11,1,17,6,12,1,10,1,8,2,13,2,9,1,10,2,24,1,17,1,12,1,17,6,9,1,30,1,28,1,6,1,24,2,8,1,28,4,6,1,24,1,8,1,9,1,24,1,9,1,10,1,12,1,8,1,9,1,24,1,17,1,12,1,17,4,12,1,11,1,17,5,12,1,10,1,7,1,28,24,30,2,6,1,7,2,29,2,6,4,13,1,8,1,24,1,7,1,9,1,12,1,10,2,9,1,10,1,11,1,12,1,9,1,17,1,12,2,17,3,12,1,10,2,24,1,12,2,17,2,12,1,17,1,12,2,17,6,16,1,9,1,33,88,5,619,28,71,6,1,7,1,28,2,29,1,28,1,30,1,28,9,30,1,29,1,28,23,6,1,30,1,7,1,30,3,6,2,7,1,13,1,8,1,9,1,8,1,13,3,9,1,13,1,16,1,9,2,8,1,11,3,8,1,9,2,11,1,10,1,8,1,16,1,11,1,9,2,11,1,10,1,9,2,16,1,9,2,11,1,9,1,11,1,8,1,9,1,8,1,13,1,9,1,13,1,8,3,13,1,9,3,13,1,9,1,11,1,13,1,10,1,9,1,8,1,9,1,11,1,9,1,10,1,9,1,11,1,10,1,8,1,10,1,9,3,12,1,13,1,9,5,11,1,13,1,11,1,9,1,10,2,8,1,11,1,8,1,9,1,11,1,9,2,10,1,12,1,17,2,11,1,17,2,8,1,6,1,28,1,29,3,28,1,29,2,30,2,29,1,13,1,6,1,8,5,24,3,8,1,24,2,8,1,24,1,8,1,9,1,13,2,6,1,29,1,28,2,30,1,29,1,6,1,30,1,7,1,13,2,8,1,6,1,7,1,28,8,6,1,30,1,29,1,13,1,9,3,10,1,17,1,10,1,9,1,11,1,17,1,28,165,30,2,28,1,30,3,28,4,30,1,28,27,6,1,30,1,13,2,7,2,8,1,6,1,13,2,7,2,13,4,28,1,6,1,28,1,6,1,28,1,30,1,6,1,28,1,6,1,28,3,6,1,9,3,13,1,9,1,13,1,9,2,30,1,13,1,7,3,13,4,28,1,6,1,13,1,6,1,8,1,6,1,9,1,6,1,13,3,30,1,29,1,6,1,7,1,13,1,28,1,6,5,13,1,7,1,13,1,30,1,13,2,6,2,7,1,8,1,6,2,8,1,9,1,13,1,8,1,9,2,8,2,29,1,6,2,13,2,7,1,30,1,8,1,28,1,7,1,6,1,30,1,6,1,28,1,7,1,30,3,6,1,28,1,30,1,6,1,13,1,28,1,6,1,29,1,28,1,30,1,28,1,30,1,6,1,28,1,13,1,6,1,13,1,30,1,6,1,7,1,13,1,6,2,13,1,8,1,13,2,8,1,13,1,6,1,13,1,6,1,13,1,7,1,8,1,13,2,8,1,13,1,9,1,13,1,9,1,13,1,7,2,13,2,8,1,13,2,7,1,13,1,7,1,6,1,9,1,17,5,16,3,11,2,13,4,16,2,17,2,16,1,9,2,11,1,8,1,11,1,17,9,10,1,12,1,17,1,11,1,9,1,24,2,13,1,7,2,6,1,28,28,30,2,28,5,30,1,28,6,29,1,28,1,6,1,30,1,29,1,30,1,29,1,30,2,6,1,30,3,7,1,6,1,24,1,12,1,10,1,24,1,13,1,8,1,13,2,8,3,25,1,24,1,8,1,7,1,24,3,8,1,24,1,8,1,25,1,8,2,29,3,28,46,30,2,29,2,27,1,29,1,24,5,25,1,8,1,25,3,27,1,25,2,26,1,27,1,25,1,8,1,25,1,24,2,10,2,17,1,12,1,17,1,24,1,12,2,24,1,12,1,10,1,24,1,12,1,24,1,12,1,24,1,10,2,12,1,17,1,12,3,17,1,12,2,17,1,12,3,17,1,10,1,17,4,9,1,17,3,11,1,17,5,11,1,17,21,11,1,17,3,12,1,17,3,12,1,17,14,11,1,17,2,11,1,12,2,11,3,12,2,11,1,12,4,17,9,11,1,17,1,12,1,17,1,12,3,17,1,10,1,11,2,10,1,9,1,8,1,9,2,17,1,8,1,9,1,10,3,9,1,11,1,10,1,9,1,10,1,9,2,11,2,12,1,17,2,11,2,12,1,17,1,12,1,17,2,11,4,17,2,10,1,17,1,11,2,17,1,12,2,11,1,17,1,9,1,12,1,11,2,12,1,11,1,12,1,11,1,9,1,17,1,12,1,11,2,17,1,11,1,10,3,17,1,10,1,12,1,10,1,11,1,12,1,9,1,11,1,17,2,11,1,12,1,17,1,11,1,10,1,12,1,10,1,12,2,10,1,12,1,11,1,17,1,12,1,10,1,17,2,12,1,17,1,11,1,17,1,12,1,11,1,17,2,12,2,11,4,17,1,10,1,12,1,11,1,12,1,11,1,12,1,11,1,9,1,12,1,11,1,10,1,9,1,12,1,11,2,9,1,10,1,11,1,9,2,10,1,9,1,10,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,24,1,13,1,8,4,17,2,10,1,12,1,24,1,11,1,9,1,12,1,10,1,11,1,17,6,12,1,10,1,12,4,17,3,10,1,12,1,17,1,12,1,17,1,12,2,8,1,13,1,6,1,28,2,30,1,5,2,28,3,29,1,28,2,30,1,28,6,6,1,9,1,8,1,9,1,11,1,8,1,7,2,6,1,7,1,29,1,30,1,8,1,13,1,8,1,13,1,8,1,24,1,12,1,9,1,30,1,28,5,11,1,15,1,30,1,28,1,29,1,28,1,30,1,28,26,}, {30,1,28,1,6,1,30,1,28,4,30,1,28,1,30,1,28,1,29,1,28,1,6,1,28,3,6,1,28,2,30,1,28,6,29,1,6,3,29,1,6,1,13,1,9,1,12,1,9,1,11,1,12,1,17,1,11,1,16,1,7,1,8,1,13,1,7,1,13,1,11,1,17,3,11,1,9,2,24,1,13,1,6,1,29,1,13,2,9,1,17,2,8,1,7,1,13,1,6,2,8,1,9,1,8,1,9,1,8,1,24,1,7,2,8,1,7,1,9,2,15,1,17,1,16,1,9,1,29,1,6,1,24,1,8,1,13,1,30,1,28,1,30,1,28,9,6,1,28,8,6,1,28,3,29,1,13,2,8,1,24,1,9,1,24,2,8,1,6,1,30,3,28,1,29,1,8,1,10,1,24,1,12,1,9,1,13,1,6,1,13,1,6,1,30,1,7,1,6,2,13,1,7,1,9,1,24,1,9,1,15,2,8,1,30,1,29,1,30,1,28,1,30,1,28,5,13,1,6,1,28,1,30,1,9,1,5,1,33,160,5,1,9,1,16,1,11,1,8,1,17,2,12,1,17,2,9,1,17,4,10,1,13,1,24,1,9,1,13,1,8,3,13,1,12,1,10,1,12,1,17,6,8,1,29,2,6,1,9,1,8,1,30,1,28,3,30,1,8,2,24,1,8,2,9,1,24,1,17,1,8,1,13,1,11,1,10,1,17,2,11,1,17,1,12,4,17,4,8,1,13,1,28,26,29,3,6,1,29,1,7,1,6,1,30,1,7,2,13,1,8,2,13,1,24,1,9,1,12,2,11,1,12,3,11,1,17,2,12,2,17,2,12,1,17,1,12,2,10,1,17,1,9,1,10,1,17,1,12,1,17,3,12,1,17,4,11,1,16,1,33,89,5,616,28,73,8,1,30,2,28,5,30,1,28,35,13,1,7,1,6,1,13,2,8,1,13,1,9,1,17,1,13,1,9,1,8,2,11,1,13,1,8,1,9,1,8,1,9,3,12,1,11,1,9,4,11,1,17,1,10,2,17,1,9,2,12,1,9,2,12,1,9,1,10,1,13,1,8,1,9,1,8,3,13,1,9,1,13,2,9,2,8,1,9,2,13,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,13,1,11,1,24,1,12,1,8,1,16,1,24,1,8,1,17,1,11,1,9,1,24,1,10,1,8,2,24,1,10,1,9,1,11,1,9,3,12,1,11,1,10,1,9,1,10,1,9,2,12,1,17,5,8,1,6,1,30,1,7,1,29,2,6,1,28,1,29,2,6,1,28,2,6,1,30,1,29,1,26,1,6,1,25,3,8,3,25,1,7,1,9,1,8,1,24,1,8,2,13,1,25,1,7,1,30,1,28,1,30,1,28,1,6,1,29,1,7,1,13,1,29,1,8,3,7,1,13,2,7,1,28,5,30,1,28,3,30,1,13,2,8,1,9,2,11,1,9,1,11,1,10,1,28,165,30,1,28,1,30,1,28,1,30,1,6,1,28,2,30,2,28,3,6,2,29,1,30,1,6,2,28,4,7,1,28,1,30,1,28,9,7,2,28,1,13,1,6,1,7,1,8,1,30,1,7,1,13,2,6,1,13,3,30,1,6,2,30,3,6,1,28,1,6,1,28,1,30,1,28,2,30,1,13,1,10,1,8,2,9,1,13,1,8,1,13,2,7,2,29,1,6,1,7,1,30,1,29,1,13,3,30,1,7,1,6,2,8,1,6,1,13,2,9,2,6,1,13,1,29,1,13,1,29,1,30,1,13,1,6,2,7,1,30,1,13,1,28,1,6,1,13,1,30,1,6,2,29,1,7,1,6,2,13,1,8,2,9,2,8,4,13,1,8,1,13,1,8,1,29,1,30,1,28,1,6,2,30,1,28,1,30,1,7,1,29,2,13,1,30,3,28,1,30,1,28,1,13,1,30,1,28,1,30,3,6,1,29,1,6,2,30,1,7,2,13,1,28,1,13,1,6,1,7,1,30,1,13,2,8,1,7,1,6,1,8,1,13,1,7,1,13,3,6,1,13,1,8,1,13,1,9,1,13,1,10,1,13,2,8,1,7,1,8,2,7,2,13,1,24,1,13,3,8,1,6,1,7,1,16,1,17,3,16,2,9,3,11,1,13,1,9,1,16,2,17,1,16,2,13,1,9,3,11,1,17,7,12,1,9,1,11,2,9,2,24,3,8,2,6,1,29,1,28,41,30,1,28,5,29,2,28,3,30,1,28,2,6,2,13,1,24,1,9,1,10,1,12,1,24,2,8,2,24,1,7,1,13,1,8,2,7,1,8,1,13,1,24,1,8,1,24,2,8,1,12,1,25,2,28,50,30,1,28,1,27,1,26,2,24,4,10,1,8,1,24,2,27,1,8,1,25,4,26,1,25,2,8,1,25,1,10,1,24,1,12,1,10,1,12,1,17,1,9,1,17,1,24,1,12,1,24,1,12,2,10,3,17,1,10,1,12,1,10,1,17,1,10,1,12,1,17,1,12,1,17,2,12,2,17,1,12,1,10,1,11,1,12,1,17,1,12,1,17,1,12,1,17,45,12,1,17,4,11,1,17,1,11,2,17,2,11,1,12,2,11,1,12,2,17,8,12,1,17,4,12,1,17,4,12,1,17,2,11,1,17,1,10,1,9,1,11,1,8,1,10,1,24,1,10,2,8,1,11,1,10,1,8,1,11,1,24,1,11,3,12,1,8,1,12,1,11,1,10,1,17,1,11,2,12,1,11,2,17,2,9,1,17,1,11,1,12,1,11,1,17,3,11,1,12,1,17,1,12,1,11,1,17,1,12,1,9,1,17,1,12,1,11,2,12,1,9,1,12,1,11,2,17,1,10,1,11,1,17,1,11,1,12,3,11,1,10,1,17,1,12,2,9,1,11,1,12,1,9,1,11,1,17,2,12,1,17,1,11,1,12,2,10,1,11,1,12,1,10,1,11,4,17,9,12,1,17,1,11,1,10,1,12,1,17,1,12,1,11,1,17,2,11,1,17,2,12,1,17,1,12,1,17,1,11,1,10,1,11,1,12,1,10,1,12,1,11,1,10,1,9,1,24,1,9,1,10,2,8,1,11,1,12,1,24,1,8,1,9,1,8,1,9,1,8,1,10,1,9,1,24,2,13,1,8,2,9,1,8,1,12,2,10,1,9,2,24,1,12,1,24,1,12,1,10,1,17,2,12,1,17,1,12,1,17,1,10,1,12,2,9,1,12,2,17,2,12,1,11,1,17,2,12,2,17,1,12,1,11,1,6,1,28,4,5,3,28,5,30,1,28,7,13,2,16,1,11,1,16,1,8,1,13,1,6,1,7,2,6,2,7,1,13,1,7,1,13,1,8,1,10,1,17,1,9,1,28,6,24,1,10,1,29,1,28,30,}, {29,1,28,1,30,2,28,6,29,1,30,1,28,3,30,2,28,9,30,1,28,1,30,1,28,1,6,2,29,1,6,1,8,1,9,3,11,1,9,1,17,1,16,1,17,1,8,1,13,1,7,1,6,2,17,3,10,2,9,2,7,1,13,2,8,1,30,1,6,1,9,1,14,1,12,1,6,2,13,1,7,2,6,1,8,1,12,1,9,1,6,1,13,1,7,1,13,1,6,1,24,1,8,2,15,1,17,1,11,1,8,1,7,1,13,1,6,1,15,1,13,1,6,1,28,6,30,2,28,10,6,2,30,1,28,1,30,1,28,2,6,1,13,1,24,1,7,1,24,1,9,1,10,1,13,1,6,2,28,1,30,1,29,1,28,1,10,1,24,1,15,1,24,1,8,1,9,1,7,2,6,1,30,1,8,1,29,1,6,3,13,1,10,1,14,2,15,1,6,1,30,3,28,5,30,1,28,1,30,1,24,1,6,2,13,1,33,1,5,1,33,159,5,1,9,1,11,1,9,1,16,1,9,1,17,1,16,1,17,3,12,1,17,2,9,1,11,2,9,1,17,1,6,1,9,1,24,1,8,1,24,1,9,1,10,1,17,6,12,1,13,1,28,1,29,1,8,1,10,1,7,1,28,2,30,1,6,1,13,1,8,1,24,1,8,1,10,1,9,1,10,1,17,1,9,1,7,1,13,1,8,1,11,1,12,1,17,1,12,1,11,1,24,2,8,1,12,2,17,1,12,1,17,1,24,1,30,1,28,25,30,2,29,1,6,2,7,1,6,5,24,3,13,1,10,1,8,1,12,1,17,3,11,1,17,2,9,1,12,4,17,1,12,1,17,3,12,2,17,1,12,3,17,7,11,1,16,2,33,90,5,299,33,2,5,311,33,1,28,74,13,1,28,1,30,1,28,40,30,2,13,1,6,1,8,2,7,1,9,2,10,1,11,1,24,2,11,1,8,1,9,5,16,1,9,1,10,1,9,1,11,2,10,1,12,1,11,1,9,1,17,1,9,1,10,1,9,1,11,3,9,2,8,2,9,1,10,1,9,2,13,1,12,1,13,2,9,1,13,1,9,2,8,1,13,2,9,1,13,1,9,1,13,1,9,2,8,1,9,1,8,1,9,2,8,2,24,1,13,1,12,1,8,1,9,1,17,1,13,1,24,1,9,1,8,1,10,2,8,1,9,1,8,1,9,1,8,3,9,4,10,1,12,1,17,1,9,1,10,1,12,1,8,1,6,1,28,3,29,1,30,3,29,4,28,1,29,1,30,3,7,1,30,1,25,2,6,4,7,1,6,1,13,1,7,1,8,1,10,1,13,1,24,1,6,1,25,1,30,1,25,1,29,1,6,1,28,1,30,1,29,1,6,1,13,2,30,1,6,1,8,2,24,1,13,1,6,2,28,11,7,1,8,1,13,1,11,1,12,1,9,1,11,1,13,1,28,163,30,1,28,1,30,1,28,4,6,1,28,1,6,2,28,2,30,2,28,1,6,1,30,1,28,2,30,1,28,1,30,2,7,1,13,1,28,1,6,1,28,3,30,1,28,1,30,1,28,1,30,2,29,1,7,1,13,4,24,1,13,1,7,1,13,2,6,1,13,1,6,4,30,3,28,1,6,1,28,4,30,1,7,1,13,1,9,2,8,1,29,1,13,5,6,1,29,1,6,1,30,1,6,1,30,1,13,1,6,1,13,1,30,2,7,1,13,2,28,2,8,1,11,1,7,1,6,1,13,1,30,1,29,1,6,3,30,1,7,1,29,1,6,1,30,1,6,2,13,1,29,1,28,1,7,1,6,1,13,1,7,1,30,1,13,1,7,1,8,2,9,2,13,1,11,1,13,2,8,1,29,1,9,1,13,1,7,1,30,1,6,1,28,1,7,1,29,1,28,7,7,1,28,1,30,1,29,1,30,2,6,1,29,1,28,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,6,2,8,1,7,1,13,1,30,1,13,2,7,1,13,2,7,1,13,1,7,1,6,1,13,1,7,1,6,1,29,1,6,1,13,3,9,2,8,1,7,2,13,2,24,1,7,1,8,2,13,1,8,1,13,2,7,1,13,3,9,1,17,2,16,1,9,1,11,2,9,1,11,1,17,3,16,1,9,2,13,1,11,1,10,1,17,4,11,1,17,3,10,1,11,1,17,2,9,1,24,1,9,1,24,1,8,1,6,1,8,1,6,1,28,23,30,1,28,2,30,1,28,21,30,1,28,3,29,1,30,2,28,1,30,1,7,1,13,1,8,1,13,1,24,1,10,1,9,1,10,1,17,1,24,2,7,2,13,1,24,1,8,1,13,1,8,1,24,1,8,1,24,1,10,1,24,1,8,1,24,1,25,1,29,1,28,1,29,1,28,1,30,1,28,47,30,2,26,2,25,1,24,3,8,1,24,1,25,1,10,1,24,1,8,2,25,1,6,1,25,1,8,1,25,2,6,1,8,1,25,1,24,1,10,2,12,2,17,1,12,1,17,1,10,1,12,2,24,2,12,1,24,1,17,2,24,1,17,1,12,1,17,1,12,2,17,1,12,3,17,2,12,1,17,2,12,2,17,35,10,1,12,1,11,1,17,6,12,2,11,1,17,1,11,1,17,2,12,1,17,2,11,2,17,5,11,1,9,1,11,1,12,1,17,1,12,1,17,3,12,1,17,4,11,1,12,1,17,4,11,1,12,1,10,1,11,3,9,1,10,1,11,1,12,1,11,1,9,2,10,1,13,1,11,2,10,1,17,1,9,1,10,2,11,3,10,2,11,1,12,1,11,4,17,1,12,1,17,2,12,1,17,1,12,1,17,1,12,2,11,1,17,1,11,2,17,5,11,1,12,2,10,1,12,1,9,1,17,1,11,1,8,1,17,1,11,3,9,1,11,3,12,1,11,3,17,1,12,1,11,1,12,1,10,2,12,2,17,3,12,2,11,1,12,1,11,1,12,2,17,1,11,2,17,1,12,2,17,2,12,1,17,1,11,1,17,4,11,1,17,1,11,1,12,1,17,1,12,1,11,1,9,1,11,1,12,1,11,1,12,1,11,3,10,2,11,1,9,3,10,4,11,1,10,1,9,1,8,1,12,1,9,1,10,1,13,1,8,1,9,1,8,1,10,1,9,1,7,1,13,1,7,1,6,1,8,3,24,1,10,1,9,1,24,2,9,1,12,3,10,2,17,4,12,1,17,1,10,1,11,1,17,1,9,1,10,1,24,1,12,1,17,1,12,1,17,2,12,1,17,3,13,1,7,1,6,1,28,2,13,1,5,4,28,3,30,1,28,9,13,2,16,1,17,1,16,1,24,1,8,1,13,1,6,1,30,1,29,1,6,3,13,2,9,1,24,1,17,1,9,1,6,1,28,5,9,1,24,1,29,1,28,1,6,1,28,28,}, {28,2,6,2,28,4,30,1,28,1,30,1,28,2,30,1,28,15,30,1,7,1,28,1,29,2,8,1,9,1,10,1,9,1,11,1,17,3,9,1,8,1,13,1,30,1,6,1,13,1,16,1,17,3,9,2,8,1,9,1,13,2,6,1,30,1,29,1,8,1,17,1,14,1,9,1,13,1,6,1,13,1,7,2,9,1,10,2,8,2,13,1,30,1,13,1,7,1,9,2,16,1,17,1,12,1,8,1,13,2,9,2,13,1,30,1,28,5,30,1,28,2,30,1,28,5,29,1,28,1,30,1,28,2,30,1,28,4,13,4,24,1,17,1,10,1,9,1,8,1,30,1,7,1,6,1,30,2,28,1,8,2,9,1,24,1,9,1,13,1,8,2,28,1,6,1,28,1,30,1,7,1,30,1,13,2,15,1,9,1,14,2,13,1,28,7,30,2,28,1,7,1,13,1,28,1,24,1,13,2,33,160,5,1,16,1,11,1,17,1,16,1,17,9,11,1,12,3,9,2,10,1,24,1,10,1,9,1,12,1,17,7,11,1,7,1,28,1,30,1,10,1,17,1,28,3,30,1,10,2,24,1,12,1,17,1,9,1,17,1,12,1,9,1,8,1,7,1,9,1,24,1,17,2,12,1,17,1,24,2,11,1,10,1,17,1,12,1,10,1,12,1,24,1,8,1,28,28,6,1,29,1,13,1,29,1,6,1,7,2,13,1,24,1,8,2,17,1,10,1,17,11,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,10,1,12,1,24,1,12,1,17,1,12,1,17,1,12,1,17,5,16,2,5,1,33,90,5,295,33,1,13,3,16,1,11,1,9,3,13,1,6,1,30,1,13,1,28,12,13,4,5,280,33,5,28,77,9,1,28,41,30,2,29,1,6,1,8,3,9,3,10,1,17,1,10,1,9,1,8,1,9,1,12,2,9,2,10,1,12,1,16,1,9,4,17,4,9,1,10,1,12,1,11,1,9,1,12,1,8,1,9,1,10,1,13,1,9,1,8,2,9,1,13,1,8,1,13,3,8,1,13,3,9,1,8,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,8,1,24,1,10,1,9,1,10,1,8,1,12,1,9,2,12,1,11,1,9,2,8,1,9,1,8,1,9,2,24,1,10,1,8,1,24,1,9,1,10,1,11,2,17,3,12,1,6,1,30,1,29,1,28,1,6,1,30,1,29,1,28,1,29,1,28,1,27,1,29,1,30,1,29,3,28,1,30,1,6,1,29,3,6,2,27,1,25,2,8,1,25,1,8,1,13,2,7,1,8,1,7,1,8,1,24,1,27,1,25,1,29,1,30,1,29,2,7,1,29,1,6,1,7,2,8,2,9,1,24,1,12,1,13,1,6,1,13,1,30,1,28,12,6,1,13,2,8,3,30,1,28,160,30,2,28,3,30,1,28,2,30,3,28,2,30,1,28,2,6,3,30,1,28,1,13,1,30,2,29,1,28,1,6,1,30,1,7,1,30,1,29,2,6,1,30,1,28,1,6,1,29,1,6,2,7,3,29,2,7,1,13,1,7,2,13,1,30,3,6,1,30,1,13,1,29,1,28,2,30,2,28,2,30,1,28,1,13,1,9,3,8,2,9,1,6,1,30,1,13,2,8,2,13,1,6,3,28,1,13,1,9,1,8,1,7,1,29,1,30,1,7,3,13,2,10,1,8,1,13,3,29,1,13,1,7,1,6,1,13,1,30,1,6,1,7,1,6,1,13,1,6,2,13,1,30,1,7,1,13,1,30,1,7,2,13,4,8,3,13,1,9,1,13,1,8,1,13,1,10,1,6,4,30,1,6,1,30,1,13,1,28,1,30,1,28,2,30,1,28,2,6,3,28,1,6,1,28,4,30,1,29,1,30,1,28,1,6,4,13,1,7,1,30,1,13,2,6,1,13,1,7,1,6,1,7,1,13,2,7,1,13,1,6,1,13,3,8,1,9,1,8,1,9,1,8,1,13,1,8,1,13,5,9,1,13,1,7,1,9,1,13,4,6,1,13,1,8,1,13,1,9,1,16,1,17,2,9,1,16,1,9,1,17,4,9,2,8,1,11,2,17,2,12,1,17,3,9,1,12,1,17,2,10,1,11,1,8,1,10,1,9,1,8,1,13,1,6,2,30,1,28,59,29,1,7,1,13,1,9,1,24,1,8,1,10,5,13,3,8,1,13,1,8,2,24,4,10,1,25,1,24,1,27,1,30,3,28,33,30,1,28,13,30,1,27,1,6,1,25,2,8,1,25,1,24,1,8,1,24,3,8,2,24,2,8,3,25,1,8,2,25,1,24,2,10,1,24,1,10,1,24,1,12,1,10,1,17,1,12,3,17,1,12,2,17,1,12,1,10,1,17,3,12,1,17,4,12,1,17,2,12,2,17,4,12,1,17,44,12,1,17,8,11,1,17,2,11,1,12,2,10,1,11,1,17,1,11,1,17,2,12,1,11,1,17,9,11,1,17,2,11,1,17,1,11,1,9,1,17,1,11,1,12,1,10,1,12,1,11,1,10,1,9,1,8,1,9,2,12,1,11,1,9,1,10,1,11,1,9,1,8,1,10,2,12,1,9,1,12,1,10,1,9,1,10,1,12,1,17,1,12,3,11,1,12,2,17,2,12,2,11,1,17,3,11,1,12,1,11,1,12,1,17,3,10,1,12,1,17,1,11,1,10,1,11,1,10,1,11,3,9,1,10,1,11,1,17,1,11,1,17,1,12,2,11,1,12,1,11,1,17,1,9,1,12,1,11,3,17,1,11,1,10,1,12,1,17,1,12,2,17,2,12,1,11,1,17,1,11,1,12,1,11,2,10,1,12,1,11,2,12,2,11,1,17,1,12,2,11,1,12,1,17,1,11,2,12,1,11,1,12,1,17,1,11,1,17,1,11,1,10,2,12,1,10,1,11,1,10,1,11,1,9,2,10,1,9,4,10,1,9,2,10,1,8,1,9,1,13,1,8,3,10,1,9,1,8,1,24,1,13,1,24,1,8,1,10,1,24,1,7,1,8,1,24,1,9,1,24,1,10,1,24,1,10,1,24,1,10,1,12,3,17,1,12,7,24,2,10,1,17,8,9,1,10,1,28,2,30,3,5,5,28,13,13,1,16,1,17,2,9,1,8,2,7,1,13,1,7,1,6,3,7,1,24,1,7,1,24,2,12,1,8,1,28,6,24,1,13,1,6,1,28,1,30,1,28,28,}, {28,2,29,1,6,1,28,5,30,2,28,4,30,1,28,2,30,1,28,12,7,1,30,1,7,2,24,1,10,1,11,1,9,1,11,1,17,2,9,1,8,1,7,1,13,1,30,1,13,1,9,1,17,3,9,1,16,1,9,1,8,2,6,1,13,1,6,1,29,1,9,1,17,1,14,1,8,1,13,1,6,2,13,2,12,1,10,1,15,1,13,1,8,1,13,3,8,1,6,1,8,1,16,1,17,2,10,1,6,2,24,1,10,1,7,1,6,1,28,3,30,1,28,2,30,1,28,7,30,1,28,10,8,1,7,1,8,1,13,1,24,2,14,1,8,1,6,3,29,2,30,1,13,1,9,1,24,1,10,1,9,1,13,1,24,2,6,1,7,1,29,1,6,1,29,1,7,1,13,2,10,2,15,1,24,2,6,1,30,2,28,4,30,1,28,2,6,1,24,1,28,1,7,1,13,3,5,2,33,1,5,1,33,7,5,2,33,1,5,1,33,144,5,1,11,1,16,1,9,1,17,10,12,2,11,1,17,1,9,2,10,1,17,1,24,1,17,1,12,1,11,1,17,6,13,1,30,2,13,1,9,1,8,1,28,2,29,1,8,1,10,2,9,1,17,3,12,1,24,1,8,1,9,1,10,1,12,1,8,1,24,2,10,1,9,2,24,1,8,1,24,2,12,1,10,1,17,1,13,1,7,1,30,1,28,21,30,2,28,1,29,1,6,1,28,1,29,2,6,2,7,1,6,1,24,1,13,1,9,1,10,2,12,1,17,12,11,1,12,1,17,5,12,2,17,1,9,1,12,1,17,1,12,2,11,1,17,8,33,93,5,292,13,1,9,3,6,1,28,6,30,1,28,1,6,1,8,1,30,1,13,2,6,1,8,1,11,1,8,1,9,1,8,1,7,1,28,1,30,1,13,1,9,1,28,5,33,1,5,272,33,2,28,95,30,1,28,28,29,2,13,1,6,1,13,2,9,3,12,1,17,1,12,1,17,1,10,2,12,1,17,1,9,1,11,2,9,1,16,1,10,1,9,1,11,1,17,1,10,1,16,1,9,1,11,1,9,1,17,1,9,1,11,2,9,1,17,1,9,2,12,1,11,1,13,1,10,1,8,1,11,1,9,1,7,1,13,1,8,1,13,3,8,1,9,1,13,2,9,1,13,1,8,1,9,1,29,1,9,1,8,2,13,1,8,1,9,2,13,1,9,1,8,1,9,1,8,1,24,1,11,2,24,1,9,1,24,1,9,2,11,1,8,1,24,1,10,1,9,1,8,1,9,1,10,1,8,1,9,1,24,1,12,1,17,3,9,1,6,1,30,2,28,1,30,1,29,1,30,1,28,2,29,2,30,1,27,1,30,1,26,1,28,1,30,1,29,1,30,2,27,1,30,1,29,1,25,1,29,2,7,1,6,1,25,1,7,1,6,2,25,1,8,1,6,1,24,1,6,2,26,2,30,1,6,1,30,1,29,1,6,1,28,1,7,1,8,1,7,1,13,1,7,1,8,1,24,2,10,2,13,1,29,1,30,1,6,2,29,1,30,1,28,7,30,1,13,1,7,1,13,1,9,1,6,1,13,1,9,1,13,1,28,83,30,1,28,72,30,1,28,1,30,1,28,8,30,1,28,3,30,2,28,1,30,2,7,1,6,1,28,1,6,2,30,2,28,1,29,1,7,1,8,1,30,1,13,1,6,1,7,1,30,1,13,2,6,1,13,1,30,1,13,2,6,1,7,3,6,1,7,1,6,1,7,1,30,2,28,1,30,2,28,2,30,1,6,1,28,2,30,1,6,1,28,1,7,1,8,1,9,1,8,1,9,3,13,1,30,1,29,1,28,1,7,1,13,1,9,1,13,2,7,2,6,1,30,1,13,3,29,1,6,1,7,1,13,1,28,1,6,2,8,1,13,3,7,1,13,4,7,2,6,1,13,2,6,2,30,2,6,2,7,1,30,2,13,1,6,1,7,1,6,1,7,2,9,1,13,1,8,1,9,1,13,1,8,1,9,1,6,1,13,1,6,1,13,2,29,1,6,2,30,2,6,1,28,2,6,1,30,1,28,1,30,1,28,1,29,1,30,2,7,1,28,4,13,1,30,1,29,1,30,1,28,1,30,1,6,1,7,1,30,1,6,1,13,1,6,1,13,1,6,1,8,1,6,1,7,1,13,1,8,1,7,3,13,3,6,1,30,1,13,4,10,1,13,4,10,1,13,1,9,1,7,1,8,1,13,3,24,1,13,2,6,1,8,1,13,1,7,1,8,1,9,1,17,6,16,1,11,1,9,3,17,3,16,1,12,1,17,1,11,1,17,3,12,1,17,1,12,1,11,1,10,1,24,1,8,1,24,1,7,1,6,1,30,1,28,62,8,3,10,3,24,2,12,1,13,2,7,1,13,1,10,1,8,1,24,1,10,1,24,4,25,1,26,1,30,1,28,2,30,1,28,39,29,1,28,7,29,1,28,1,27,1,25,1,24,1,25,1,24,3,8,5,25,1,24,1,8,1,6,1,24,1,8,2,7,1,24,1,6,1,9,1,8,1,12,1,8,1,12,3,10,2,12,1,10,1,12,1,17,5,12,2,17,1,10,1,17,5,12,1,17,53,12,1,17,1,12,1,17,2,11,1,17,1,11,2,17,2,11,1,12,2,10,1,11,1,17,1,12,1,17,1,12,1,11,1,12,1,17,1,11,1,12,1,17,3,11,1,17,2,11,1,17,2,11,1,17,2,11,1,10,3,11,1,10,3,8,1,10,1,9,2,10,3,9,1,11,2,9,1,24,1,12,1,10,1,11,1,10,2,11,3,12,1,11,1,12,1,17,1,11,2,17,2,11,2,17,2,11,1,12,1,11,1,17,1,11,1,12,1,10,2,11,1,17,1,11,1,12,1,9,1,17,1,9,1,11,1,9,1,17,1,10,1,17,1,10,1,11,2,10,1,11,3,17,1,11,1,12,2,10,1,17,1,9,2,17,1,11,2,12,1,17,1,11,1,12,3,17,1,12,2,11,1,17,2,10,3,17,1,10,2,17,1,12,1,17,3,12,1,11,1,12,1,9,1,17,1,11,3,12,2,11,2,9,1,11,2,9,1,17,1,11,1,12,1,11,1,10,1,9,4,11,1,10,1,8,1,9,2,10,1,8,1,10,2,8,1,24,1,13,1,24,3,13,1,8,1,7,1,13,1,6,1,8,2,7,1,10,1,13,1,17,1,10,4,24,1,10,1,24,1,12,2,10,2,17,2,12,1,9,1,24,1,12,1,10,1,24,1,10,1,12,3,17,3,12,2,9,1,30,1,28,1,30,2,28,1,5,6,28,13,13,1,9,1,17,2,8,1,9,1,13,1,6,1,7,1,6,1,29,1,7,1,13,2,6,1,7,1,13,1,9,3,28,6,12,1,13,1,28,1,30,1,28,1,30,1,28,27,}, {28,2,6,1,30,1,28,5,6,1,28,9,30,2,28,6,30,1,28,1,6,1,28,2,6,1,13,1,24,1,13,1,10,1,8,1,17,4,8,1,13,3,6,1,13,1,17,3,11,1,10,2,9,1,8,1,15,1,8,1,6,1,13,1,30,1,8,1,17,1,15,1,24,1,7,1,29,2,28,1,13,1,8,1,15,2,8,1,13,2,6,1,13,1,8,1,24,1,9,1,12,1,17,2,8,1,6,1,7,1,8,1,9,1,13,1,6,1,30,1,28,7,30,1,28,3,30,1,28,11,6,1,13,1,8,3,14,1,15,1,14,1,24,1,13,1,6,2,30,2,6,2,24,1,12,2,8,1,13,2,8,1,28,1,30,1,7,1,6,1,30,1,6,1,29,1,24,1,12,1,15,3,7,1,6,1,28,1,29,1,28,8,8,1,6,1,28,1,30,1,13,2,33,1,5,3,13,1,30,1,6,1,13,6,33,1,5,1,33,2,5,1,33,4,5,1,33,136,5,1,16,1,11,1,17,1,11,1,12,1,17,3,11,1,17,3,12,1,9,2,11,1,10,3,11,2,17,1,12,1,17,8,13,1,28,1,30,1,24,1,9,1,13,1,28,1,30,1,8,1,11,1,24,1,17,1,12,2,9,3,24,1,9,1,12,1,24,1,7,1,6,1,24,1,8,1,24,2,8,1,24,6,7,1,8,1,6,1,28,21,30,1,29,1,28,1,30,1,28,2,6,2,13,1,7,2,13,1,24,1,8,1,24,1,12,1,17,16,12,1,17,6,24,1,12,2,17,1,9,1,10,1,17,3,12,3,17,3,5,1,33,94,5,290,28,1,13,2,28,12,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,29,1,30,3,8,1,28,2,30,1,28,2,30,1,5,266,28,88,30,1,6,1,30,1,28,2,30,1,28,35,30,1,28,1,29,1,28,1,6,1,13,1,7,1,8,1,13,1,17,1,11,2,12,1,11,2,17,1,9,1,17,1,9,1,12,1,10,1,16,1,9,2,17,1,16,1,12,1,17,1,11,1,17,1,10,1,16,1,11,2,12,1,11,1,9,1,12,1,11,1,9,1,10,1,11,1,8,1,9,2,8,1,9,2,8,1,9,2,13,1,9,1,13,3,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,1,8,3,13,1,11,1,13,1,8,7,12,1,13,1,24,1,10,1,8,1,11,1,9,1,8,1,9,3,11,1,9,1,8,2,12,1,17,3,13,1,29,1,28,4,29,1,30,1,28,2,27,1,30,1,29,2,25,1,29,1,28,1,29,1,27,2,29,1,30,2,29,3,6,1,24,1,28,1,27,1,30,1,7,1,6,1,8,1,28,1,8,1,25,1,8,3,7,1,8,1,29,2,6,1,29,1,30,1,29,1,7,1,30,1,6,1,13,1,8,3,13,2,24,2,10,1,13,1,6,1,28,1,30,2,29,1,13,1,8,2,13,3,6,1,30,1,13,1,6,1,13,2,29,1,13,1,6,2,28,158,6,1,28,10,30,1,6,1,28,1,30,1,28,1,30,1,29,1,30,4,6,1,28,1,6,1,7,2,30,1,28,1,30,1,6,1,13,1,7,2,30,1,13,1,29,1,28,1,13,3,7,2,13,2,7,1,13,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,6,1,28,2,30,2,28,2,30,2,10,1,9,3,13,3,28,1,13,1,6,1,13,1,6,1,7,1,9,1,8,1,13,1,7,1,6,1,28,2,8,3,7,4,13,1,6,1,30,1,6,1,30,1,13,1,9,2,13,1,10,1,13,1,7,1,30,1,13,2,6,1,28,1,6,1,13,3,6,1,13,2,6,1,8,1,6,1,13,1,6,1,13,1,7,1,13,3,8,1,9,1,29,1,13,2,7,1,13,1,8,1,6,1,7,1,13,1,28,1,6,1,13,1,29,1,28,1,30,1,28,8,30,1,28,4,29,1,28,2,6,1,28,1,30,1,28,1,6,1,28,1,30,1,6,1,7,1,13,1,6,1,13,1,30,1,13,1,6,1,9,1,6,2,7,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,13,8,7,2,13,2,7,1,13,1,6,1,9,1,13,1,6,1,13,3,7,1,13,2,7,1,13,1,17,5,16,2,9,1,11,1,16,2,17,1,16,1,17,1,12,1,17,3,12,3,9,1,12,1,9,1,11,1,9,1,13,2,6,2,29,1,28,62,30,1,29,1,6,1,8,2,24,1,12,2,17,1,8,1,13,1,6,1,7,1,24,2,13,1,24,2,10,2,8,1,25,1,28,2,30,2,28,34,30,1,28,12,29,2,28,1,25,1,8,1,25,1,8,1,24,1,8,1,24,3,13,1,24,1,10,1,8,1,24,2,10,1,13,1,24,2,7,1,24,4,8,1,10,1,24,1,10,1,24,4,10,1,17,1,12,1,9,1,17,1,10,1,17,2,12,1,17,1,12,2,17,4,12,2,17,28,11,1,17,15,12,1,17,5,12,1,17,1,11,1,12,2,17,1,11,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,4,11,2,12,2,17,11,11,1,17,1,12,2,17,1,12,1,17,1,12,1,10,2,9,1,12,1,8,1,9,1,24,1,9,1,12,2,8,1,11,2,9,2,11,2,10,1,9,1,10,2,9,1,12,1,17,3,9,1,11,1,17,3,12,1,17,1,12,1,17,2,11,1,17,1,11,1,12,1,11,1,12,1,11,1,10,1,12,1,10,4,12,1,10,1,12,1,11,1,10,1,12,1,9,1,17,2,12,1,11,1,10,1,11,1,17,1,12,1,11,1,10,1,11,1,12,1,11,1,9,1,11,1,12,1,11,3,12,1,11,1,12,1,11,1,12,1,11,1,17,1,12,1,10,1,11,1,12,2,10,1,17,1,12,1,10,1,12,1,11,1,12,2,17,2,12,3,11,1,17,1,11,1,12,1,11,1,17,1,9,1,12,1,17,1,9,1,12,1,10,1,12,1,11,1,9,1,10,2,9,1,11,1,9,1,10,1,9,2,24,1,11,1,9,3,8,1,10,2,8,1,10,1,13,1,9,1,8,1,24,1,13,1,6,1,24,1,13,2,7,1,13,2,6,1,7,1,24,3,10,1,12,1,9,1,10,3,12,5,17,1,12,3,10,2,12,1,10,2,17,1,10,1,17,4,10,1,13,1,30,1,28,3,30,1,5,7,28,13,13,1,17,3,24,1,8,1,7,2,29,1,6,3,13,1,7,1,29,1,24,1,6,1,13,1,17,1,24,1,28,6,24,1,13,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,24,}, {30,1,29,1,28,1,7,1,28,5,30,2,28,16,29,1,28,4,6,1,29,1,13,1,12,2,11,2,10,1,17,1,12,1,13,1,6,1,7,1,29,1,6,1,13,1,9,1,17,2,10,1,12,1,17,1,10,1,9,1,24,1,8,1,13,2,8,1,13,1,17,1,16,1,13,2,7,1,30,1,7,1,29,1,8,1,15,1,8,1,15,1,13,1,8,2,13,1,8,1,24,1,13,1,12,1,17,2,7,1,6,1,8,1,9,2,8,1,6,1,30,1,28,10,30,1,28,12,30,2,13,1,8,2,17,1,14,2,8,1,6,1,7,1,13,1,29,1,6,1,28,1,13,1,24,1,15,1,10,1,12,1,10,1,8,2,13,2,7,1,28,1,30,1,6,2,13,1,8,1,24,1,9,1,10,1,7,1,28,11,8,1,29,1,30,2,29,1,9,5,13,3,8,1,13,2,8,1,9,1,13,2,9,1,13,2,33,1,13,1,33,2,5,2,33,5,5,1,33,130,5,1,17,1,16,3,17,8,11,1,9,2,10,1,12,1,9,1,12,1,9,2,12,1,17,9,7,1,28,1,6,1,17,1,9,1,28,2,13,1,24,1,12,1,17,3,12,1,11,1,24,1,9,1,12,1,17,1,9,1,7,1,28,3,13,2,24,1,6,1,13,1,24,1,8,1,9,1,24,3,30,1,28,1,30,1,28,21,30,2,28,1,30,1,6,1,13,1,8,1,7,1,8,1,9,1,12,3,17,11,12,1,17,10,11,1,17,1,12,2,17,1,12,2,17,4,12,1,17,2,11,1,17,2,16,1,5,1,33,94,5,288,16,1,17,2,13,1,28,17,30,1,28,2,30,2,29,1,28,11,13,1,6,1,30,1,13,1,28,2,5,255,33,4,28,90,6,1,28,34,30,1,28,1,6,1,29,1,6,1,28,1,6,1,28,1,6,2,8,1,6,1,7,1,9,1,24,1,17,1,9,1,11,1,10,1,11,1,16,1,17,3,10,2,11,1,12,1,11,1,9,1,11,1,10,1,12,1,9,1,12,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,16,1,9,2,16,1,9,1,11,1,9,1,10,1,9,1,8,1,11,1,8,1,13,2,8,1,13,1,8,3,13,3,8,1,13,2,10,1,8,4,13,1,9,1,8,1,9,1,13,1,9,1,8,1,9,3,11,1,13,1,9,1,10,1,13,1,11,1,8,1,9,1,8,2,9,1,13,1,9,2,17,3,10,1,6,2,28,5,30,2,28,1,30,1,29,1,28,1,30,1,29,1,28,2,29,2,28,1,29,1,28,1,29,2,28,1,29,2,26,1,30,1,6,1,29,1,25,1,6,2,26,1,25,2,13,1,30,1,8,1,7,1,25,1,8,1,6,1,25,1,29,1,30,1,29,1,25,1,7,1,6,1,8,1,13,1,7,1,13,1,8,1,24,3,10,2,12,1,9,1,8,1,28,2,6,1,28,1,6,1,8,3,9,1,13,1,8,1,13,1,8,1,13,4,6,1,7,1,8,1,28,160,30,2,28,6,30,1,28,3,29,2,30,1,6,2,30,1,29,1,7,1,30,2,7,1,13,1,24,1,13,1,6,1,13,1,29,2,13,1,7,2,13,2,7,1,9,1,8,1,29,1,6,1,13,1,6,2,28,1,30,2,7,1,28,1,6,1,30,4,28,1,29,1,30,1,6,1,28,1,7,1,9,1,11,1,8,1,9,2,13,1,8,1,30,2,13,2,6,1,13,3,6,1,7,1,13,1,7,1,6,1,30,1,6,2,8,2,13,2,30,1,29,1,13,1,7,1,30,1,6,1,7,1,8,1,13,1,8,3,13,1,30,1,13,1,6,1,7,1,6,2,30,1,13,2,30,1,6,1,7,1,6,1,13,5,8,1,13,1,8,1,9,1,13,1,8,1,7,1,13,1,7,2,8,1,7,1,13,1,6,2,28,6,6,1,28,1,29,1,28,4,30,2,28,1,30,5,28,1,30,1,28,2,6,1,13,1,6,1,13,1,7,1,6,1,29,1,7,1,30,1,13,1,6,1,7,1,13,1,30,1,29,1,13,1,6,1,13,1,7,2,6,1,13,1,30,1,13,1,29,1,13,1,6,1,13,6,6,1,8,1,6,2,8,1,13,1,7,1,8,1,7,2,13,3,6,1,13,3,11,1,17,6,11,1,16,1,17,3,11,1,12,1,9,1,17,2,12,1,10,2,9,1,12,1,10,2,6,1,13,1,6,1,30,2,28,65,29,1,6,1,8,2,24,1,10,2,12,2,8,1,7,1,8,1,24,1,8,2,12,1,24,2,8,1,29,1,30,1,28,42,30,1,28,6,30,1,29,1,28,1,29,1,27,1,24,2,8,1,24,2,13,1,24,1,13,1,8,5,24,7,8,1,13,1,8,1,10,1,8,1,24,1,12,1,24,1,12,2,10,1,12,5,17,1,12,1,17,3,12,1,17,2,12,1,17,1,12,2,17,46,12,1,17,1,12,1,17,1,12,2,17,2,11,1,17,2,11,1,17,1,12,1,17,1,9,1,11,2,17,1,12,1,17,1,9,1,11,1,17,3,11,1,17,1,12,1,11,1,17,11,11,4,9,1,12,2,9,2,8,1,12,1,9,1,24,1,10,3,9,1,12,1,24,1,11,1,8,1,10,1,9,1,11,1,9,1,12,1,11,1,12,1,11,1,17,1,11,1,17,1,11,1,17,2,12,1,17,2,11,1,17,1,11,1,17,2,10,1,11,1,10,1,17,1,11,2,9,1,11,2,9,1,12,1,9,1,12,1,11,1,9,1,11,1,9,1,12,1,9,1,17,1,11,2,10,1,11,1,9,1,12,1,17,1,10,1,11,2,17,1,12,1,11,1,17,1,12,2,11,1,12,1,11,2,12,1,17,1,9,1,12,1,11,2,17,1,12,1,17,2,10,1,11,6,12,1,17,1,11,1,17,1,11,1,17,2,11,1,10,1,9,1,11,1,17,1,12,1,17,1,11,2,9,1,11,3,10,2,9,1,11,1,9,1,10,1,12,1,9,1,10,1,24,1,10,1,24,1,10,1,13,1,24,1,8,1,24,4,8,4,9,1,13,1,8,1,7,1,8,1,7,1,6,1,13,1,10,1,12,2,24,1,8,1,10,1,12,1,24,1,10,1,12,1,10,1,12,3,17,1,12,2,9,3,10,1,17,7,13,2,30,1,28,3,13,1,5,8,28,2,30,1,28,9,30,1,7,1,17,4,11,1,24,1,13,2,6,1,28,1,6,1,8,1,13,1,6,1,13,1,6,1,24,1,12,1,24,1,28,6,9,1,13,1,28,31,}, {28,11,30,1,28,17,30,2,28,3,8,1,24,1,8,1,11,1,9,1,24,1,17,1,14,1,8,1,13,1,8,1,6,1,13,1,6,1,24,1,17,2,8,1,16,1,17,1,12,1,9,2,8,2,30,1,6,1,24,1,17,1,14,1,8,1,7,1,13,1,29,1,7,1,6,1,13,1,15,1,11,1,13,8,12,1,17,1,12,1,10,1,13,1,8,1,9,1,15,1,8,1,30,1,28,9,6,1,29,1,28,1,30,1,28,12,6,1,7,1,8,1,7,1,8,1,9,1,15,1,8,1,30,1,29,1,7,2,6,1,28,1,13,1,12,1,10,1,12,1,24,2,13,1,29,1,6,2,13,1,6,1,28,1,6,1,7,1,6,1,8,1,9,1,24,1,8,2,28,11,13,1,29,1,28,1,30,1,6,1,13,1,8,2,13,7,10,1,9,1,13,1,9,1,13,2,9,1,8,1,6,1,13,4,9,1,6,1,13,5,5,1,33,1,5,2,33,1,5,1,33,123,5,2,16,2,11,1,16,1,8,1,17,10,11,2,9,1,12,1,17,11,10,1,29,1,30,1,24,1,11,1,13,1,28,1,29,1,8,1,17,5,12,1,10,1,11,1,12,3,9,1,28,3,29,1,6,1,8,5,24,1,13,1,7,1,6,1,8,1,6,1,28,23,29,1,28,1,29,1,30,1,29,1,8,1,24,1,9,2,10,1,24,1,17,1,12,1,17,4,12,2,9,1,11,1,9,1,17,2,16,1,17,2,11,1,17,4,12,2,17,1,9,1,17,1,12,1,10,1,12,1,24,1,12,1,17,1,12,1,17,2,12,2,17,3,16,1,5,2,33,95,5,285,11,1,7,1,28,19,30,1,28,6,30,1,28,1,30,2,28,1,6,1,30,1,28,8,30,1,6,1,16,1,17,1,16,1,6,1,5,246,33,1,13,1,28,135,30,1,28,1,29,1,30,1,6,1,7,1,13,5,9,1,12,1,17,1,11,2,17,4,11,1,17,1,11,2,9,2,10,1,11,3,9,3,12,1,9,1,12,1,9,1,10,1,11,1,12,1,13,1,9,1,11,1,9,1,11,1,9,3,8,1,13,1,8,1,13,6,8,1,13,3,9,1,13,1,8,2,13,1,8,1,9,1,13,1,9,1,12,1,9,1,13,1,8,1,13,1,11,1,8,3,9,3,8,2,9,2,10,1,8,3,9,1,8,1,9,2,17,3,13,1,28,1,30,1,29,1,28,6,29,1,28,2,29,2,30,1,27,1,29,2,30,1,28,1,26,1,28,1,29,1,28,1,29,2,26,1,30,1,29,1,6,1,26,2,6,1,7,1,28,1,7,1,30,1,6,1,25,1,29,1,8,1,25,1,6,1,8,1,6,1,30,1,6,1,7,1,29,1,6,1,7,2,13,1,24,2,8,2,13,1,12,1,24,1,12,1,10,3,11,1,9,1,6,1,30,1,28,1,30,1,13,1,9,1,7,1,8,1,9,1,13,1,8,1,9,1,8,1,24,2,13,1,8,2,13,1,10,1,28,164,30,1,28,5,29,2,7,2,30,1,6,1,28,1,30,1,6,1,28,2,6,2,7,1,13,1,30,1,6,1,28,1,6,3,13,1,7,2,6,1,9,1,7,1,13,1,30,1,6,1,28,2,30,1,29,2,6,1,29,1,30,3,28,1,30,2,28,1,30,2,8,1,10,1,13,1,11,1,8,1,13,1,10,1,13,2,6,2,13,1,6,1,7,1,6,2,13,2,9,1,8,1,13,1,6,3,13,2,8,2,13,1,30,1,6,3,13,2,7,1,6,1,30,1,13,3,8,2,7,1,6,1,13,1,7,1,6,5,7,1,13,2,6,1,7,1,8,2,6,1,9,1,6,1,8,1,13,6,7,1,6,1,13,1,6,1,29,1,6,2,28,1,6,3,30,1,28,1,30,1,28,1,6,1,28,5,30,1,6,1,29,1,28,4,30,1,28,1,30,1,6,1,28,2,30,1,28,1,30,2,7,1,6,1,13,1,30,1,13,1,6,1,13,1,7,1,8,1,13,2,7,1,6,1,13,2,6,1,7,1,13,2,7,1,9,1,13,3,7,2,13,1,8,1,13,3,6,1,7,2,13,1,8,1,13,2,9,1,6,1,13,2,8,1,9,1,12,1,17,6,12,1,16,1,17,2,12,1,11,1,12,2,10,1,9,2,12,2,10,1,24,1,8,1,29,1,6,1,30,1,28,67,30,1,29,1,13,1,6,1,24,1,10,1,24,1,12,2,24,1,13,1,8,1,24,1,8,1,9,1,6,1,24,1,12,1,25,1,29,1,30,1,28,50,30,1,28,1,27,2,8,1,25,1,8,1,24,2,8,1,24,3,13,1,24,4,8,1,24,1,10,1,12,1,24,1,10,1,12,1,24,3,10,1,24,1,12,2,10,2,24,1,12,1,24,1,12,3,10,2,12,2,9,2,12,1,17,1,10,1,17,1,12,1,17,48,11,1,17,10,12,2,17,1,11,1,17,2,12,2,17,2,11,1,17,3,11,1,17,2,12,1,17,8,12,1,10,1,17,2,11,1,9,1,11,1,10,2,9,1,24,1,9,1,8,1,9,1,10,1,12,1,8,1,11,1,10,1,11,2,10,1,11,2,9,1,11,1,10,2,12,1,11,1,10,1,12,1,11,2,17,2,11,2,17,6,11,1,17,1,12,1,17,1,10,1,11,1,12,1,10,2,9,1,12,1,10,1,9,1,11,1,17,1,11,2,17,1,12,1,11,2,12,1,9,1,11,1,10,1,12,1,17,1,9,2,17,1,11,3,17,1,11,1,12,1,10,1,12,1,10,1,12,1,17,2,11,1,12,1,11,1,17,1,11,1,12,1,11,1,12,1,10,2,9,1,11,1,12,2,10,1,11,1,10,1,17,1,11,1,17,1,12,1,11,3,10,1,12,1,11,3,17,1,11,1,12,1,11,2,10,1,9,1,11,1,9,1,24,1,9,1,12,1,8,1,11,1,12,1,9,2,13,1,9,1,24,1,8,2,24,1,9,1,13,2,24,1,8,1,9,1,8,2,24,1,13,1,7,1,8,1,13,1,30,1,7,1,13,1,10,1,24,2,10,2,24,1,12,2,17,1,12,2,17,1,12,1,17,1,10,1,17,1,12,1,17,1,9,3,12,1,17,3,12,1,17,2,10,1,13,1,30,1,28,3,33,1,5,9,28,13,6,1,14,1,17,3,9,2,13,1,29,1,6,1,28,1,30,1,13,2,29,1,7,2,24,1,9,2,28,6,10,1,6,1,28,1,30,1,28,29,}, {29,1,28,6,30,2,28,3,30,1,28,2,30,1,28,15,30,2,29,1,8,2,24,1,17,1,15,1,9,1,14,2,8,1,6,1,13,1,7,1,13,1,6,1,9,1,17,2,9,1,17,1,10,1,14,1,15,2,9,1,8,1,13,1,7,1,6,1,14,2,8,1,29,1,6,1,13,1,6,3,9,1,24,1,8,2,29,1,13,1,6,2,8,1,13,1,9,1,17,1,10,1,13,1,6,1,8,1,9,2,13,1,6,1,28,7,29,1,30,1,28,15,29,1,30,1,13,1,7,2,6,1,8,1,14,1,8,1,29,1,6,3,7,1,6,1,8,1,24,3,10,1,24,1,7,1,13,1,30,2,6,1,13,1,28,1,30,1,29,1,13,1,8,1,14,1,12,1,9,1,7,1,30,1,28,10,6,1,28,2,30,1,6,1,9,1,13,1,8,1,6,1,13,4,6,1,13,1,30,1,13,4,9,1,13,4,9,1,13,2,30,1,13,1,6,1,30,1,13,2,6,1,13,3,28,1,33,1,5,2,33,1,5,1,33,121,5,1,16,1,10,1,11,1,17,1,11,1,17,9,11,1,12,1,11,1,24,1,12,1,17,11,11,1,30,1,6,1,13,1,11,1,7,1,28,1,24,1,9,1,12,1,17,1,12,1,9,1,12,1,11,1,10,2,11,2,12,1,24,1,28,2,29,1,6,1,7,1,13,1,8,2,6,1,13,1,8,1,7,1,13,2,29,1,30,2,28,23,29,1,6,1,29,1,7,1,8,1,10,2,12,2,17,4,12,1,8,1,7,1,28,3,6,1,30,1,11,2,17,10,24,1,9,1,6,1,7,1,8,2,9,2,17,6,12,1,17,2,9,1,5,1,33,97,5,280,33,1,9,1,13,1,28,20,30,1,28,1,6,1,28,2,29,1,30,2,28,3,30,2,28,2,30,1,28,1,6,1,29,1,28,1,30,2,28,2,29,1,28,3,30,1,8,1,16,1,9,1,28,2,5,4,33,1,5,232,28,139,30,1,28,1,30,2,28,1,30,1,6,1,13,6,8,1,11,3,9,1,17,2,9,1,17,2,11,1,16,1,11,1,9,1,17,1,11,3,9,1,11,1,16,2,11,1,10,1,9,4,17,1,11,1,16,1,11,2,13,1,11,1,9,6,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,6,1,13,2,8,1,13,1,8,2,13,1,9,1,13,1,9,1,10,1,9,2,10,1,11,1,10,1,9,2,8,1,11,1,9,2,10,1,24,1,8,1,11,1,13,1,9,3,17,4,30,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,29,1,28,1,30,2,29,1,30,4,29,1,27,1,29,2,30,1,29,1,30,1,29,2,30,1,27,1,25,1,28,1,27,1,26,1,8,1,30,1,6,1,30,1,25,1,30,1,8,1,29,1,25,1,8,1,13,1,7,1,6,1,24,1,7,1,6,2,7,1,6,1,13,1,7,1,29,1,8,4,10,1,8,1,24,2,12,1,10,2,12,1,11,1,10,1,8,1,30,1,28,2,30,1,13,2,9,2,10,1,7,1,10,1,8,2,24,1,9,1,13,1,9,1,8,1,13,1,28,170,6,1,28,1,29,1,7,1,28,2,7,2,6,3,13,1,6,1,24,1,6,3,7,1,13,1,6,2,13,5,29,1,28,1,30,5,29,1,28,1,6,1,29,1,28,1,30,1,28,1,6,1,29,1,28,1,6,1,10,1,9,2,10,1,11,1,9,1,8,1,10,1,9,1,8,1,30,1,6,2,13,1,6,1,30,1,13,1,7,1,9,1,13,3,29,2,6,2,9,1,13,3,7,1,13,1,6,2,7,1,28,3,13,1,9,1,8,2,13,1,29,1,13,2,7,1,30,1,7,1,6,1,7,1,29,1,13,1,30,2,13,1,30,1,6,1,13,1,6,1,13,2,10,1,9,1,7,1,13,1,8,1,6,1,13,1,7,1,6,1,13,1,29,1,30,1,6,1,28,1,29,1,28,4,7,1,30,1,29,2,28,3,30,1,28,3,29,1,28,1,30,3,6,1,28,1,29,1,28,2,6,8,13,3,7,2,8,1,13,2,7,1,6,2,13,1,30,1,8,1,9,1,6,1,13,1,6,1,8,1,13,2,9,1,8,1,9,1,13,2,7,1,6,1,7,2,13,1,6,2,13,2,9,1,13,1,8,1,13,2,9,1,8,1,9,2,17,8,11,1,12,1,17,2,12,1,17,1,12,1,24,1,17,1,24,1,8,2,13,2,28,1,29,1,28,67,29,1,28,1,13,2,8,1,9,1,10,2,9,3,13,1,9,1,8,1,24,4,25,1,30,2,28,1,30,1,28,40,29,1,28,7,29,1,28,1,29,1,26,1,25,1,24,1,25,1,24,3,13,1,24,1,8,2,24,1,7,1,8,1,24,2,10,2,24,1,12,2,24,1,12,1,24,1,12,1,10,1,24,1,12,1,24,1,12,2,10,1,12,2,17,1,24,1,12,2,10,1,12,1,10,1,12,1,9,1,12,2,11,1,12,1,17,49,11,1,17,7,12,3,17,2,11,1,12,1,17,2,12,1,17,2,12,1,17,6,11,1,17,2,11,1,17,4,11,2,17,2,11,2,12,1,10,2,12,1,10,1,24,1,10,1,11,1,10,1,9,2,11,1,12,2,9,2,11,1,9,1,11,1,12,1,10,1,11,1,17,1,9,1,10,1,12,1,11,1,17,1,12,1,17,2,12,2,17,1,11,1,17,2,12,1,11,1,17,1,11,1,12,3,11,1,10,1,12,1,11,1,12,1,9,1,12,1,11,3,12,1,11,1,12,1,10,1,12,1,17,1,11,2,12,2,11,1,17,1,9,1,11,3,12,1,17,1,11,1,12,1,9,1,17,1,11,1,10,1,11,1,12,1,11,1,17,1,11,1,17,1,11,1,10,1,17,1,12,1,9,1,12,1,9,1,10,1,11,3,12,1,10,1,11,2,12,1,17,1,12,1,9,1,11,1,9,1,11,1,10,1,12,1,9,1,10,1,11,1,10,2,11,3,9,1,8,1,11,2,9,1,10,1,11,1,9,6,24,1,9,1,8,1,10,1,8,1,24,1,8,1,7,2,13,4,8,1,13,2,7,1,13,1,6,1,13,2,12,1,24,3,12,3,10,1,24,1,12,1,17,1,12,2,10,2,12,1,10,1,8,1,11,1,8,1,17,1,11,1,17,1,10,1,17,1,10,1,17,1,8,2,13,1,30,1,28,2,33,1,5,10,28,13,8,1,14,2,10,1,12,1,9,2,24,1,13,1,28,2,29,1,13,1,8,2,9,1,13,1,24,1,10,1,9,1,28,6,8,1,28,2,29,1,30,1,28,28,}, {28,1,30,1,28,1,30,1,28,7,29,1,28,18,30,3,7,1,24,1,8,1,9,1,15,2,14,3,13,2,6,2,8,1,30,1,12,1,10,1,17,1,10,1,11,1,12,1,9,1,11,1,8,1,24,2,8,1,28,1,13,1,17,1,9,1,8,1,6,2,29,2,6,1,8,1,9,1,24,1,13,1,8,1,13,1,8,1,13,1,24,1,10,1,13,1,8,1,17,1,16,1,9,1,13,2,8,1,15,1,13,1,6,1,28,13,30,1,28,11,13,2,8,1,13,1,8,1,13,1,15,1,24,1,6,2,28,1,30,1,29,1,30,1,29,1,9,1,12,2,9,1,24,1,13,1,6,1,13,1,8,1,6,1,28,1,30,1,6,1,24,2,10,1,15,3,13,1,30,1,28,10,30,1,6,1,28,2,6,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,8,1,6,1,13,2,30,1,28,2,30,1,13,1,30,1,6,1,8,1,6,1,13,2,8,1,9,1,6,1,13,1,8,1,29,1,13,2,6,1,13,1,6,1,30,1,6,1,13,1,30,1,6,1,13,1,6,1,30,1,33,1,5,1,33,4,5,1,33,1,5,1,33,110,5,1,16,3,9,1,17,7,12,1,17,3,10,1,17,1,9,1,17,12,16,1,28,1,29,1,8,1,9,1,30,1,28,1,6,1,10,1,12,1,17,1,12,1,11,1,17,1,12,1,11,2,12,1,11,1,17,1,6,1,30,1,28,1,30,1,6,2,24,1,7,1,6,2,29,1,6,1,7,1,13,1,6,2,28,27,30,1,25,1,8,1,24,2,10,1,17,4,8,1,6,1,28,1,30,2,28,1,30,1,6,2,8,1,17,10,11,1,24,1,8,1,6,4,24,1,10,1,12,2,17,1,12,1,17,5,5,2,33,98,5,278,9,1,6,1,28,20,30,1,28,3,30,1,28,1,30,1,28,3,30,6,6,1,30,1,28,11,30,1,28,3,13,1,17,1,8,1,13,1,28,4,30,1,13,1,9,1,13,1,9,3,5,3,16,1,9,6,28,6,9,1,5,206,33,1,28,105,9,1,28,37,30,3,6,1,8,1,13,1,8,1,13,1,24,1,8,1,9,1,8,1,17,2,12,1,17,1,16,1,12,1,17,2,9,1,16,1,11,2,9,2,11,1,9,1,11,1,9,2,12,1,9,1,10,1,11,1,9,1,11,1,12,1,9,2,10,1,16,1,8,1,16,1,11,1,8,1,10,1,9,1,8,1,9,3,13,2,10,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,3,11,1,8,1,9,2,11,1,10,1,8,2,11,1,10,1,24,1,9,1,8,1,10,1,24,1,10,1,9,1,10,1,9,1,10,1,9,1,12,1,17,5,28,1,6,2,30,4,28,2,30,1,28,4,30,2,26,1,29,4,27,1,30,1,26,1,25,1,27,1,30,1,29,2,28,1,6,1,8,1,25,1,28,1,29,1,7,1,25,1,6,1,30,1,8,1,6,1,13,2,7,2,8,1,6,2,13,1,8,1,13,1,6,1,30,1,6,1,13,2,8,2,24,2,10,1,24,1,12,1,24,1,12,1,10,3,9,1,17,1,12,1,8,1,28,3,30,1,29,1,6,1,30,1,8,1,13,1,24,1,8,1,9,1,13,1,8,1,13,3,28,155,30,1,28,1,29,1,28,7,30,1,28,2,30,2,6,1,8,1,30,4,7,1,28,2,6,1,8,1,13,1,8,2,13,1,6,1,13,1,30,1,13,1,6,1,13,1,8,1,7,1,6,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,29,1,28,1,29,1,30,1,6,1,28,2,13,1,30,1,13,2,11,1,10,1,9,1,11,1,9,3,13,2,9,1,13,1,7,1,13,1,30,1,29,1,13,1,6,2,8,1,9,1,6,1,13,1,7,2,6,1,13,1,29,1,10,1,7,1,8,2,6,5,7,1,13,1,7,1,13,2,7,1,9,2,11,1,13,1,6,2,30,1,13,1,30,1,7,1,30,1,13,1,6,2,29,1,6,1,7,1,9,1,13,2,7,1,13,1,8,1,13,2,6,1,7,1,8,1,6,1,13,2,29,1,6,1,29,1,6,2,30,2,6,1,28,4,30,1,29,1,28,8,7,1,13,1,6,1,29,1,30,1,28,1,30,3,28,1,6,1,28,1,6,1,30,1,13,1,7,1,6,1,30,1,13,1,29,1,6,1,13,3,29,1,7,1,13,1,7,2,13,1,6,1,7,1,6,1,29,1,6,1,13,3,8,1,6,1,7,1,8,2,13,12,9,2,13,2,9,1,8,1,11,1,17,5,11,2,12,1,17,1,12,2,17,2,9,1,12,1,24,1,9,1,13,1,29,1,30,1,28,69,30,1,28,1,8,1,30,1,24,1,9,1,24,1,9,1,12,1,17,1,10,1,7,1,9,1,24,1,9,1,8,3,29,1,30,1,28,5,29,1,28,1,30,2,28,30,30,1,28,2,30,1,28,9,29,1,28,1,25,1,24,2,25,2,8,5,25,1,29,1,7,1,25,1,29,2,8,2,10,1,12,1,8,1,12,1,10,1,8,2,12,1,10,1,12,3,24,1,10,2,12,2,10,1,12,2,9,1,12,2,10,1,12,2,10,1,17,6,12,1,17,23,16,1,17,18,11,1,17,2,12,1,17,4,12,1,17,2,12,2,11,1,17,1,12,1,17,1,11,1,17,1,12,1,17,5,11,1,17,6,11,1,12,1,17,2,11,2,17,3,9,1,10,3,9,2,24,1,9,2,10,1,8,1,11,1,9,1,10,1,9,2,12,2,10,1,11,2,10,1,12,1,11,1,10,1,11,1,12,1,17,2,12,1,11,1,10,1,12,1,11,1,12,1,17,2,11,1,12,1,17,1,11,1,12,1,11,1,12,2,11,2,9,1,12,1,11,1,10,1,11,1,10,1,9,1,11,1,17,1,11,1,12,1,11,1,10,1,12,1,17,1,9,1,17,1,11,2,9,1,12,1,10,1,11,3,12,1,11,1,12,1,17,1,10,1,12,2,17,1,10,1,11,1,12,2,11,2,17,2,8,1,11,1,10,2,17,1,12,1,11,1,12,1,10,2,12,1,17,1,10,1,9,1,11,3,17,1,11,3,10,1,12,1,10,2,11,1,10,1,11,1,8,1,10,1,9,2,12,1,9,3,13,1,8,1,10,1,8,1,9,2,8,1,24,1,9,1,24,1,9,1,8,1,7,1,13,2,24,1,7,1,13,1,8,1,13,1,8,1,7,1,8,1,7,4,24,1,8,1,12,2,10,1,24,1,12,1,10,1,12,1,17,1,10,2,17,1,12,2,17,1,12,2,24,1,17,1,12,1,9,1,12,3,17,2,12,1,6,1,28,1,30,1,28,2,5,12,28,13,13,1,14,2,16,1,11,1,9,1,13,1,8,1,6,4,13,1,7,1,13,1,7,2,9,1,12,1,9,1,28,5,29,1,17,1,13,1,28,5,29,1,28,25,}, {28,1,6,1,30,1,28,5,30,1,6,1,30,3,28,19,6,1,30,1,13,1,8,2,14,1,10,2,14,2,8,1,13,1,8,1,13,2,7,1,8,1,17,1,12,2,17,1,9,3,8,1,24,1,6,2,29,1,13,1,17,1,16,1,9,1,6,4,28,1,13,1,24,1,9,1,8,1,13,1,7,1,8,1,7,2,9,1,12,1,17,2,10,1,13,3,7,1,12,1,6,1,29,2,28,21,30,1,28,1,6,1,7,1,6,1,7,2,8,2,14,1,8,1,6,1,30,1,28,1,29,1,28,1,30,1,10,2,24,1,10,1,9,1,8,1,13,1,6,1,30,1,6,1,30,3,6,2,13,1,16,1,14,1,9,1,15,1,6,1,28,11,30,1,28,3,29,1,6,1,13,2,8,1,6,1,13,2,9,1,13,1,6,2,13,1,29,1,8,1,30,2,13,1,28,1,30,2,13,2,30,1,8,1,13,1,8,1,13,1,11,2,9,2,6,2,13,1,28,1,30,1,6,1,13,1,30,2,13,6,6,1,13,1,33,1,13,1,33,7,5,1,33,101,5,2,11,2,9,1,17,9,11,1,17,4,12,1,17,13,29,1,13,2,8,1,28,1,30,1,13,1,11,1,17,2,12,1,17,3,12,2,10,1,17,1,12,1,6,1,28,2,29,2,6,1,7,2,13,1,29,1,24,1,6,1,7,1,13,1,6,2,28,28,30,1,6,1,24,2,12,2,17,1,10,1,24,1,29,1,28,1,30,2,6,2,13,1,29,1,13,1,9,1,12,1,17,10,24,1,6,3,29,1,7,1,6,1,24,1,17,1,12,2,17,5,16,1,5,1,33,99,5,275,30,1,6,1,9,1,28,26,30,1,28,3,30,1,28,1,30,1,28,3,29,1,28,4,29,1,30,1,28,6,6,1,28,7,24,1,13,2,6,2,13,1,28,1,6,2,30,1,13,1,6,2,7,1,9,2,8,4,9,2,8,1,6,1,13,1,9,3,13,2,6,1,28,1,5,202,33,1,28,70,6,1,28,36,29,1,28,37,6,1,7,1,6,1,29,1,13,3,9,3,13,1,10,2,9,1,10,1,12,1,17,4,11,1,17,1,10,1,11,5,16,1,10,2,11,1,9,1,10,1,8,1,16,1,9,1,12,1,9,1,10,1,12,1,10,1,9,1,13,1,8,1,11,1,8,1,9,2,13,1,8,2,13,1,9,1,13,2,8,2,9,2,13,2,6,1,13,1,7,1,9,1,24,1,8,1,9,1,8,1,9,2,10,1,9,1,8,1,9,1,11,1,24,2,9,1,10,1,13,1,9,7,17,6,13,1,6,3,28,3,30,1,28,1,30,2,28,2,30,2,29,2,28,1,27,1,25,1,29,1,30,1,27,1,29,1,25,1,28,1,30,1,28,1,25,1,29,1,27,1,29,1,27,1,25,1,30,2,6,3,25,1,6,3,8,2,7,1,8,1,6,1,24,1,13,1,7,1,13,1,29,1,6,1,13,1,6,1,7,1,8,1,24,4,10,1,24,1,10,2,12,1,9,2,17,1,12,1,11,1,17,1,12,1,10,1,7,2,28,3,30,1,28,1,29,1,6,1,13,3,8,1,13,1,9,1,6,1,28,163,30,1,28,2,30,1,29,2,6,1,30,1,13,1,28,1,6,1,7,1,8,1,6,2,29,1,6,1,8,1,10,2,8,1,13,3,7,1,6,1,29,1,6,1,7,1,6,1,7,1,28,3,30,1,28,2,30,1,29,1,30,2,28,1,30,1,6,1,28,1,6,1,13,2,10,1,9,2,8,1,9,1,8,1,9,3,8,1,13,1,9,1,30,2,13,1,29,2,7,2,13,3,6,1,13,2,6,2,30,1,9,1,7,1,8,1,13,3,6,1,13,1,6,1,13,1,7,1,13,1,6,2,13,1,8,1,13,1,8,1,13,2,8,1,7,1,6,1,13,1,30,1,6,1,30,1,13,1,7,1,6,1,8,1,28,1,12,1,7,1,30,1,13,4,6,1,7,1,13,1,7,1,6,1,13,1,29,1,13,1,6,2,28,2,6,1,30,1,28,1,30,3,6,1,28,1,6,1,28,8,30,1,28,2,6,1,30,1,28,1,6,1,7,1,30,1,13,1,29,1,7,1,28,2,6,1,30,1,6,1,28,1,13,1,7,1,30,1,6,1,13,1,7,1,13,2,29,1,30,1,13,1,7,1,13,1,6,1,30,1,13,3,7,1,9,1,13,1,8,1,9,1,6,1,7,1,8,1,9,1,8,1,7,1,13,1,9,1,13,2,6,1,7,1,6,1,8,3,9,1,8,1,10,1,13,2,11,1,17,5,10,1,17,1,12,3,11,1,24,1,9,1,12,1,24,2,13,1,6,1,28,1,29,1,28,64,30,1,28,1,30,1,28,2,6,3,8,2,10,2,12,1,24,1,10,1,24,1,13,1,24,3,10,1,13,1,6,1,28,6,30,1,29,1,28,4,30,1,28,21,30,1,28,3,30,1,28,2,30,2,29,1,28,3,30,1,28,5,30,2,8,1,25,2,27,1,24,1,8,3,25,2,30,1,29,1,6,2,30,1,25,1,13,2,10,1,24,2,12,1,24,1,12,2,10,1,12,1,24,1,12,1,17,1,24,1,12,1,10,1,24,1,12,1,17,1,12,1,10,1,12,3,17,1,12,1,17,1,12,1,17,51,12,1,17,17,12,1,17,2,12,1,17,9,11,3,12,1,10,1,11,1,12,1,11,1,9,1,11,1,10,1,9,2,12,1,10,2,11,2,10,1,12,1,11,1,9,2,8,1,10,1,12,2,11,1,9,2,12,3,11,1,12,1,9,1,10,1,12,1,11,3,17,2,11,1,17,1,11,2,17,1,10,1,17,1,11,3,9,1,11,2,12,1,10,1,12,1,9,1,12,1,11,1,12,2,9,1,12,2,17,1,10,1,9,1,10,1,9,2,17,1,11,4,17,2,11,1,10,1,11,1,17,1,10,1,11,1,12,4,10,1,12,1,9,1,12,1,11,5,10,1,9,1,11,2,9,1,11,1,17,1,12,1,11,1,12,1,10,1,11,2,12,1,10,1,17,1,10,1,9,1,12,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,8,1,9,1,24,1,13,1,8,1,10,1,8,2,10,2,24,3,8,4,7,1,13,1,7,2,8,1,7,1,13,3,7,1,13,3,8,1,9,1,10,1,24,2,12,4,17,1,24,1,12,1,10,2,12,3,11,1,12,1,9,1,12,5,17,3,12,1,11,1,30,1,28,1,6,1,13,1,5,13,28,13,13,1,14,1,17,1,16,1,11,1,8,1,9,1,8,1,13,1,6,1,29,1,7,2,8,3,13,1,9,1,17,1,11,1,28,6,8,1,30,1,29,2,28,29,}, {6,1,29,1,30,1,28,5,30,1,28,2,6,1,28,1,30,1,6,1,28,4,30,1,28,10,30,1,28,2,6,1,8,2,9,1,17,1,12,1,24,1,14,1,15,1,9,1,13,4,7,1,8,1,17,2,9,2,15,2,9,1,8,1,24,1,8,1,13,2,6,1,12,1,14,1,8,1,6,1,30,1,29,1,13,2,7,1,10,1,9,1,24,1,8,1,29,1,24,1,6,2,9,1,13,1,17,1,12,2,24,1,13,1,6,1,8,1,24,2,13,1,28,25,6,1,13,1,24,1,7,1,8,1,24,1,14,1,8,1,6,1,29,3,30,2,6,1,9,1,15,1,9,1,8,2,6,1,13,1,28,1,6,1,28,3,13,2,8,1,24,1,8,1,9,1,15,1,8,1,28,12,30,1,28,2,30,1,13,1,8,1,13,1,9,5,13,2,8,1,6,1,13,1,6,3,13,1,6,1,29,1,28,2,30,1,6,1,30,2,6,1,28,4,29,1,6,2,13,2,6,2,13,3,8,1,13,1,6,2,29,1,6,1,13,1,7,1,13,1,6,4,13,4,33,3,5,1,33,98,5,2,11,1,9,1,16,1,17,5,16,1,17,21,16,1,28,1,7,1,8,1,13,2,28,1,7,1,10,1,12,1,17,1,12,1,17,6,12,1,17,1,7,1,28,3,6,1,7,1,29,1,13,2,8,1,7,1,29,1,30,1,6,1,7,1,29,1,28,29,29,1,7,1,13,1,7,3,6,1,13,1,7,1,13,1,6,1,28,1,6,1,28,1,30,1,29,1,13,1,9,1,12,1,17,4,12,1,17,3,12,1,9,1,13,1,30,2,28,2,30,1,8,1,24,1,12,1,17,8,5,1,33,100,5,273,6,1,30,1,13,1,28,38,29,1,6,1,28,18,30,1,28,1,29,1,8,2,24,1,7,2,6,1,7,1,29,1,6,1,7,1,6,1,30,2,29,1,6,1,30,2,6,1,7,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,6,1,9,1,10,1,9,1,13,1,5,197,33,1,28,74,30,1,28,73,29,3,13,1,8,2,9,1,8,1,10,1,9,4,16,1,11,1,17,4,10,1,17,1,12,1,11,1,16,1,12,1,11,1,12,1,9,4,13,1,12,1,11,2,9,1,16,1,11,1,16,1,11,1,9,2,10,1,11,1,9,1,8,1,9,1,8,2,10,1,8,1,9,2,13,1,9,1,13,2,8,2,9,1,13,2,6,1,8,2,24,1,8,1,9,1,24,1,10,1,13,1,24,1,8,1,10,1,9,1,8,1,9,1,11,1,9,2,10,1,9,1,12,1,9,1,8,1,10,1,12,1,17,8,13,1,29,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,1,27,1,30,1,27,1,29,1,27,1,25,1,29,2,8,1,26,1,29,1,25,2,27,1,29,1,25,1,28,1,29,1,27,1,30,1,25,2,27,1,29,3,6,1,29,1,13,2,6,1,7,1,13,1,8,2,7,1,8,1,7,1,8,1,6,1,7,1,13,1,6,2,8,1,13,1,8,1,9,1,24,1,12,2,10,1,12,1,9,1,10,1,9,1,12,1,17,1,12,2,17,3,11,1,8,1,7,1,30,1,28,7,30,1,6,1,30,1,13,1,28,158,30,1,28,6,29,1,6,2,28,1,7,1,6,1,29,1,30,1,7,1,9,1,13,1,6,2,13,1,7,2,6,1,13,3,7,1,30,3,7,1,30,3,7,2,28,1,30,1,28,2,30,1,28,2,30,2,29,2,28,1,30,1,13,1,10,2,8,1,9,7,8,2,13,2,8,1,30,1,6,1,30,1,6,1,30,1,6,1,7,1,8,1,29,1,8,1,13,2,30,1,13,1,29,1,6,1,9,1,13,2,9,2,24,1,30,1,6,2,7,1,6,2,7,1,29,1,13,1,7,1,13,2,9,1,13,3,6,3,7,1,30,1,6,2,13,2,9,1,13,3,7,1,13,2,6,1,29,1,7,1,13,3,7,1,13,1,9,1,29,1,28,1,6,1,30,2,28,1,29,1,28,3,30,1,28,2,30,1,28,3,30,2,28,4,13,1,28,1,30,2,29,1,30,2,6,1,28,1,6,2,30,1,6,1,30,1,6,1,30,2,13,1,29,1,7,1,13,1,6,3,7,1,6,1,13,1,7,2,13,1,6,1,13,1,7,1,13,1,29,1,13,1,6,1,7,1,13,1,7,1,13,6,8,1,13,2,8,1,13,1,8,1,13,1,7,1,11,1,9,1,13,2,6,1,8,2,17,5,10,1,11,2,17,1,10,1,12,2,24,3,13,1,29,1,30,1,28,65,29,2,28,1,29,1,30,1,6,1,29,1,8,1,13,1,24,1,13,1,12,1,9,1,17,1,12,1,24,4,8,1,12,1,8,1,6,1,30,1,28,9,30,1,28,33,30,1,28,6,30,1,28,2,29,1,28,1,25,1,8,1,25,2,8,1,26,1,8,1,6,1,29,2,30,1,26,1,30,1,7,1,25,2,8,1,25,1,10,1,24,1,8,1,24,1,10,1,24,2,10,1,24,1,12,1,24,2,12,2,10,1,24,1,10,2,24,1,10,1,12,3,17,1,12,1,17,7,12,1,10,1,12,1,17,44,11,1,17,3,12,1,17,3,12,2,17,20,12,1,17,1,11,1,12,1,11,1,9,1,11,1,10,1,9,2,10,1,11,1,9,1,8,1,10,2,11,2,9,2,8,1,12,1,8,1,12,1,10,1,17,1,11,1,17,1,10,1,17,1,9,1,11,1,12,1,17,1,10,1,11,2,17,1,11,2,17,1,12,2,10,2,12,1,11,1,17,1,9,1,11,1,10,1,12,1,11,2,10,1,12,1,10,3,11,4,12,2,11,1,10,1,12,1,10,1,11,1,12,4,17,1,12,2,11,2,12,2,17,1,12,1,17,1,11,1,17,1,12,4,11,1,9,1,17,1,10,2,11,1,12,2,10,1,12,1,11,2,9,1,11,1,10,1,11,2,17,2,10,1,9,1,11,1,12,1,8,1,10,1,24,1,11,3,12,2,10,1,9,3,10,1,9,1,8,1,9,1,8,1,10,1,8,1,9,1,24,1,10,1,24,1,10,1,8,2,10,1,8,1,13,1,8,1,13,3,7,1,9,1,8,1,7,1,13,3,7,1,13,1,8,1,13,1,8,2,12,1,24,2,10,1,17,1,10,2,12,2,10,1,17,1,12,2,17,1,10,1,12,1,10,1,12,2,10,1,17,4,12,1,9,1,13,1,30,2,5,15,28,12,30,1,13,1,14,1,17,1,12,1,10,1,8,1,24,1,13,1,8,1,29,1,6,1,13,1,8,1,13,1,24,1,7,1,13,1,9,1,17,1,13,1,28,5,30,1,10,1,6,1,28,4,30,1,28,26,}, {6,1,28,2,6,1,28,5,29,1,13,1,6,2,28,5,30,1,28,13,29,1,28,1,8,1,9,1,10,1,12,1,24,1,12,1,14,1,17,1,8,1,13,1,6,2,8,1,29,1,9,2,17,2,9,1,11,1,15,1,9,2,8,1,13,2,7,1,13,1,12,1,14,1,8,1,24,1,13,1,6,1,13,1,7,1,30,1,12,1,8,1,9,1,13,2,6,1,7,1,6,1,8,1,9,1,24,1,11,1,12,1,9,1,7,1,13,1,8,1,9,2,7,1,29,1,28,4,30,1,28,19,13,1,6,3,13,1,9,1,14,1,9,1,6,1,29,1,28,1,29,1,30,1,28,1,13,2,15,2,24,1,8,1,13,1,6,1,13,1,30,1,6,1,29,1,6,2,13,1,6,1,13,1,10,1,16,1,15,1,13,1,30,1,28,10,6,1,30,1,28,2,6,1,13,3,9,1,13,1,9,4,13,1,8,1,13,1,8,1,13,3,6,1,8,1,6,1,7,1,6,2,30,1,29,1,6,2,30,2,28,1,6,1,28,5,30,3,6,1,13,1,6,1,13,1,9,1,8,1,7,1,6,3,13,2,28,1,30,1,6,2,30,1,6,1,13,2,30,1,13,3,33,2,5,3,33,92,5,2,16,1,17,30,13,1,30,1,13,2,6,1,30,1,6,1,12,2,17,1,12,2,17,1,10,1,17,5,24,1,29,1,28,1,30,1,28,1,6,2,13,1,6,3,30,2,6,2,29,1,28,30,30,2,28,5,30,2,13,1,6,1,29,1,30,1,29,1,6,1,29,1,9,1,17,10,12,1,8,1,30,1,28,1,30,1,6,1,29,2,24,1,10,1,11,2,10,1,17,2,12,1,17,2,5,1,33,101,5,270,33,1,13,2,30,1,28,39,30,2,6,1,28,2,30,1,28,17,30,3,13,1,6,1,7,1,13,1,30,2,6,3,29,1,30,1,6,1,30,2,13,1,6,2,13,1,30,1,28,1,6,2,28,1,29,1,30,1,28,1,8,1,11,1,9,1,5,180,33,1,13,2,33,2,13,1,33,1,13,2,33,1,13,2,33,2,30,1,28,76,30,1,6,1,28,74,13,1,6,1,13,1,8,2,9,1,10,1,9,1,12,1,11,1,12,1,10,1,17,1,16,1,17,2,12,1,10,2,9,1,11,1,17,1,9,1,10,1,16,1,9,1,16,1,10,1,9,1,11,1,9,2,10,1,9,1,11,1,8,1,9,2,11,1,9,3,12,1,10,1,11,1,9,1,10,1,9,1,8,1,9,1,8,2,11,1,9,1,13,1,8,1,9,1,8,1,13,1,8,3,13,1,9,1,8,1,12,1,8,1,9,1,24,1,9,3,11,1,8,1,11,1,24,1,17,1,11,1,9,1,10,1,9,2,16,1,17,9,12,1,30,4,29,1,28,1,30,2,28,1,30,1,28,1,30,1,29,1,30,2,27,1,26,1,28,1,26,1,6,1,26,2,25,2,8,1,26,1,25,1,26,1,27,1,29,1,26,1,30,1,29,2,30,1,27,1,6,1,27,1,30,1,25,1,7,1,6,1,7,1,13,1,8,1,30,1,24,1,8,1,6,1,8,1,24,3,8,3,13,2,9,1,10,1,24,1,8,1,24,1,12,1,9,1,10,1,9,2,12,1,10,1,17,3,9,1,17,1,11,1,17,1,12,2,11,1,12,1,13,1,6,1,30,1,28,5,30,2,28,160,30,1,6,2,28,1,30,2,6,1,30,1,28,1,30,1,6,1,28,1,6,1,9,1,13,2,6,2,7,2,8,1,13,2,6,4,7,1,28,2,6,1,13,1,28,1,6,1,28,4,30,1,28,1,6,1,30,1,29,1,28,2,30,1,9,1,10,2,8,1,11,1,10,1,9,1,8,2,10,1,9,1,13,2,8,1,13,1,8,1,13,5,6,1,7,1,13,1,8,1,6,1,8,1,6,1,13,1,30,1,6,1,28,1,6,1,30,1,10,1,8,1,13,2,8,3,7,1,13,1,6,1,7,1,13,1,7,1,6,1,7,2,13,1,9,1,13,1,7,1,13,1,7,1,13,2,28,1,13,1,7,1,13,1,6,1,8,2,7,1,13,4,6,1,9,1,8,1,13,1,7,1,30,1,13,1,7,1,6,1,13,1,7,2,13,1,30,1,28,1,6,1,28,5,29,1,28,1,6,1,28,2,30,1,28,7,30,3,28,1,30,1,6,1,13,1,28,1,6,1,7,1,28,1,30,1,6,2,7,1,13,1,30,1,13,1,6,2,8,1,6,1,7,1,13,3,30,1,13,2,30,1,13,1,6,1,13,1,7,1,6,1,30,1,10,1,6,1,13,1,7,2,30,1,13,1,6,1,13,1,8,1,29,1,13,1,9,1,8,1,13,2,9,1,24,1,13,1,9,1,13,1,9,1,8,1,13,1,8,1,11,2,12,1,17,4,10,1,9,1,12,1,8,1,24,2,10,1,13,2,30,1,28,64,30,1,6,1,29,1,30,1,7,1,13,1,7,1,6,2,24,2,9,1,10,1,12,1,24,1,11,3,13,1,9,1,8,1,24,1,10,1,13,1,6,1,29,1,28,5,29,1,28,34,30,2,28,10,30,1,29,1,27,1,28,1,29,1,25,1,27,1,26,1,6,1,29,2,28,3,29,2,27,1,7,1,24,2,8,2,24,1,8,1,24,1,13,1,7,1,13,2,8,2,24,2,8,1,24,5,8,2,24,1,8,1,10,1,24,1,8,1,24,2,13,1,12,2,17,4,12,1,17,2,12,1,17,5,12,1,17,43,12,1,17,22,8,1,11,1,10,2,11,1,9,3,11,2,10,1,9,1,11,2,10,1,11,1,9,3,10,1,17,1,9,1,11,1,12,1,11,3,17,1,11,1,12,1,9,1,11,1,17,1,11,1,12,1,10,1,17,1,9,1,11,1,9,1,10,1,12,1,11,1,12,1,11,1,9,1,11,1,12,1,11,1,12,1,10,1,12,1,11,3,10,1,12,1,9,1,10,1,11,1,10,1,12,2,9,1,11,1,10,1,9,1,10,3,11,2,10,1,11,1,9,1,12,2,17,1,11,1,17,1,11,1,12,1,11,1,12,1,17,1,11,1,12,1,10,1,9,1,12,1,9,1,10,2,9,1,11,2,17,1,10,1,11,3,17,1,12,1,11,1,17,1,10,1,9,1,12,1,10,1,11,1,9,1,11,1,9,2,11,1,10,1,11,2,9,1,24,1,8,1,9,2,10,1,9,1,10,1,8,1,12,2,9,1,13,1,24,1,8,1,24,2,8,2,13,1,6,1,13,3,7,1,24,2,8,1,7,1,6,1,7,2,13,5,24,2,10,2,17,1,24,1,12,2,10,2,12,1,17,2,12,2,9,1,17,3,12,3,9,1,17,3,8,1,9,2,28,1,33,1,5,16,28,13,13,1,14,1,17,2,13,1,17,1,9,1,8,1,29,1,7,1,8,1,30,1,13,1,8,2,7,1,8,1,12,1,10,1,8,1,28,5,6,1,8,1,24,1,28,31,}, {28,3,30,1,28,4,30,1,28,2,6,1,29,1,30,1,28,2,6,1,28,14,30,1,6,1,7,1,13,1,8,2,9,1,8,1,10,1,17,2,8,1,30,1,13,1,6,3,8,1,11,1,17,1,10,1,11,1,24,1,15,1,12,1,24,1,9,1,6,1,13,1,6,1,13,1,12,1,17,1,9,1,13,2,7,1,13,2,7,1,9,1,8,1,24,1,13,1,7,1,6,2,8,1,13,1,8,1,13,1,17,2,11,1,13,1,8,2,9,2,29,1,28,8,30,1,28,16,6,1,30,1,7,1,13,1,8,1,9,1,14,1,8,1,6,1,29,1,30,1,6,1,28,2,30,1,8,1,10,1,24,1,8,1,24,1,13,1,29,1,13,1,6,1,30,1,29,1,6,1,13,2,8,2,12,1,11,1,10,1,9,1,28,6,30,1,28,4,6,1,28,2,30,1,29,1,13,4,6,1,13,2,9,3,13,3,9,1,13,5,8,1,6,1,8,1,7,1,6,3,30,1,29,1,6,1,29,1,30,2,28,1,30,1,28,5,30,1,28,1,13,1,29,1,28,1,30,1,13,2,6,1,13,2,6,1,28,1,29,1,6,1,29,1,7,1,28,1,30,2,13,3,6,2,13,1,9,1,13,1,33,1,5,1,33,1,5,1,33,88,5,1,16,3,17,29,9,1,30,1,13,2,6,1,28,1,29,1,6,1,10,1,17,2,11,1,17,7,11,1,28,3,29,1,28,1,30,1,7,1,6,1,28,1,30,1,28,2,29,2,28,30,30,1,28,1,6,1,28,8,29,1,7,1,29,1,28,1,29,2,9,1,17,6,11,1,17,1,16,1,17,1,10,1,8,1,6,1,28,1,30,2,29,1,6,1,9,1,12,1,17,1,12,1,17,1,16,1,17,4,11,1,5,1,33,100,5,269,28,1,6,1,10,1,28,39,29,1,28,24,30,1,28,2,30,1,28,2,30,1,7,2,13,4,8,1,9,1,13,1,6,1,30,1,29,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,29,1,30,2,6,1,9,1,17,1,33,1,5,174,33,2,28,93,29,1,6,1,13,1,28,73,29,1,7,2,13,1,9,1,10,1,12,1,8,1,17,2,12,1,10,1,17,1,16,1,17,1,16,1,17,3,12,1,9,1,11,1,16,1,11,1,12,1,10,2,11,1,10,2,16,1,8,1,12,1,9,1,16,1,9,1,12,1,11,1,9,1,11,1,9,5,12,1,11,1,8,2,9,3,13,1,9,1,13,2,9,1,8,1,13,2,9,1,8,1,9,1,24,2,9,4,24,2,9,1,11,2,9,1,24,1,12,1,9,1,16,2,17,12,9,1,29,1,6,2,29,2,30,1,29,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,29,1,28,1,25,1,28,1,25,1,6,1,8,1,25,1,26,1,25,1,8,1,29,1,6,1,8,1,26,1,8,1,27,1,29,1,27,2,25,1,27,2,28,1,29,1,25,1,6,4,8,1,7,1,8,2,12,1,8,1,24,1,8,1,13,2,7,1,10,1,8,3,24,1,8,1,9,2,12,3,9,1,11,2,10,1,11,1,17,2,12,1,17,1,10,1,17,1,9,1,11,1,12,3,17,2,12,1,11,2,13,1,9,1,11,3,28,162,30,1,6,1,30,3,28,1,30,1,6,1,29,2,13,1,6,1,7,2,30,1,13,1,6,2,7,1,8,1,13,1,6,1,13,2,6,2,7,1,6,1,28,8,30,1,28,3,30,1,13,1,8,1,10,1,11,1,12,1,10,1,9,1,10,1,11,1,8,1,11,1,9,1,8,2,9,1,13,2,7,1,8,2,13,1,30,1,13,1,28,1,6,1,13,2,8,2,6,1,13,1,6,1,13,1,6,1,7,1,13,1,8,1,9,1,8,2,13,1,9,1,13,1,6,1,13,1,29,1,13,1,7,1,6,2,7,3,13,2,8,1,30,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,8,1,13,4,7,1,24,1,13,1,11,1,9,1,29,2,6,1,7,2,13,1,8,1,9,1,13,1,7,1,30,1,6,1,28,2,30,1,28,4,6,1,28,5,30,1,28,9,30,1,28,2,30,1,29,1,6,1,30,1,6,1,30,1,7,1,28,1,6,1,13,1,6,3,29,1,7,2,13,1,7,1,13,1,7,3,6,2,29,1,13,1,7,1,28,1,30,1,13,1,7,1,30,1,13,1,30,1,13,1,6,1,29,1,13,1,7,1,8,1,13,2,7,1,13,1,7,1,6,1,8,2,9,1,8,1,13,1,9,1,13,1,8,1,13,2,9,1,11,1,17,2,11,1,17,1,12,1,10,1,12,1,24,2,8,1,9,1,13,1,30,1,28,2,30,1,28,60,30,1,29,1,30,1,6,3,8,1,13,1,8,1,24,1,7,1,8,1,24,1,8,1,9,1,10,1,9,1,11,2,8,1,24,1,10,1,12,1,24,1,12,1,24,1,13,1,28,2,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,28,30,1,28,14,27,1,30,1,27,1,30,2,28,5,27,1,30,1,26,1,27,1,24,1,26,1,24,1,8,3,7,1,28,5,29,1,30,3,29,1,30,1,6,1,30,1,29,1,7,1,30,1,6,1,7,1,13,1,8,3,10,1,24,2,17,1,12,3,17,1,12,3,17,2,12,1,17,2,12,2,17,28,11,1,17,23,11,1,17,2,11,1,17,4,11,1,17,4,11,1,17,1,10,1,12,1,10,1,11,1,10,1,24,1,9,1,11,1,9,2,10,2,8,1,11,1,10,1,9,2,11,3,10,1,17,1,11,1,17,1,12,2,11,1,17,1,11,1,9,1,11,1,10,1,11,1,12,2,11,2,17,1,9,2,11,1,17,1,11,3,12,1,8,1,11,1,9,1,11,2,12,1,11,2,10,1,9,1,10,1,9,1,11,1,12,1,9,2,11,3,9,3,12,1,11,1,17,1,11,4,12,1,17,2,12,1,17,1,12,7,10,2,17,1,10,1,11,1,12,1,11,2,17,1,12,1,11,1,10,1,11,1,12,2,9,1,11,3,17,1,10,2,12,1,9,1,11,1,9,2,24,1,10,1,11,1,9,1,10,1,24,1,10,1,24,1,10,3,8,1,9,1,10,1,24,1,8,1,11,1,24,1,9,2,13,1,8,2,24,1,8,3,13,1,6,1,7,1,13,1,7,2,13,5,6,1,8,1,24,1,10,1,17,1,24,1,10,1,17,2,12,1,17,2,12,1,17,1,12,2,17,1,9,1,17,1,10,1,17,4,12,1,17,1,11,1,8,1,6,1,13,2,5,18,28,12,30,1,8,1,14,1,17,2,9,1,11,1,8,1,13,1,6,1,13,2,6,1,8,2,6,1,13,1,9,1,17,1,9,1,6,1,28,5,6,1,8,1,13,1,28,1,6,1,29,1,28,28,}, {29,1,28,1,6,1,28,4,30,1,28,2,29,1,28,2,30,1,28,1,29,1,30,1,28,11,30,1,28,2,29,1,28,1,30,2,6,1,12,1,9,1,17,1,9,1,17,1,14,1,9,1,6,2,7,1,6,2,8,1,17,2,12,1,9,1,8,1,15,1,13,1,10,1,8,1,13,2,6,1,13,1,17,2,12,1,8,1,13,1,6,1,13,2,7,1,13,1,10,1,8,1,13,3,6,1,8,1,6,1,9,2,17,2,9,1,7,1,8,1,7,1,8,1,12,1,24,1,28,5,30,1,28,2,30,1,28,17,13,1,7,1,28,1,6,1,13,1,9,1,13,1,7,1,29,1,28,2,29,1,30,1,29,1,9,1,15,1,24,1,10,1,6,1,13,1,29,1,13,2,7,1,28,1,13,1,6,1,8,1,6,1,24,1,9,1,11,1,12,1,9,1,28,3,29,1,28,7,6,1,28,3,13,1,30,1,9,1,29,1,13,1,6,1,9,1,13,2,9,1,13,1,8,1,13,1,9,1,13,1,8,1,6,1,9,1,6,1,13,1,6,1,13,1,6,1,30,1,6,2,28,1,30,2,6,1,29,1,6,1,28,3,30,1,28,2,30,2,28,1,30,1,13,1,28,4,6,1,28,1,6,1,29,1,30,1,7,1,28,2,6,1,28,1,6,1,13,1,6,1,30,2,6,1,28,1,6,1,29,1,13,1,28,1,30,1,13,1,30,1,13,1,33,88,5,1,16,1,17,1,16,1,17,29,10,1,28,1,30,1,13,1,6,2,29,1,30,1,24,1,12,1,17,6,11,1,17,2,12,1,7,1,28,3,6,1,30,2,28,7,29,1,28,29,30,1,28,1,29,1,28,9,6,1,7,1,13,2,12,1,17,5,16,1,17,1,12,1,16,1,17,2,10,1,24,1,6,1,28,3,29,1,28,1,9,1,12,1,17,1,12,1,17,6,5,1,33,102,5,265,33,1,30,1,28,1,13,1,11,1,30,1,28,34,30,1,28,3,30,1,28,1,30,2,28,33,30,1,7,1,8,1,13,1,8,1,9,3,7,1,6,1,29,1,30,2,6,1,30,1,29,1,30,1,6,1,13,1,28,1,13,1,11,1,17,1,13,1,5,171,33,1,13,1,28,6,30,1,6,1,28,150,30,1,28,13,30,1,6,1,8,1,13,1,8,1,13,1,9,2,10,1,17,1,12,1,11,1,17,4,11,3,12,1,11,2,9,1,17,1,16,1,11,1,10,1,16,1,12,1,16,1,10,1,16,1,9,2,10,1,9,4,8,1,11,1,9,2,8,1,10,1,9,2,8,1,9,3,13,1,9,1,8,3,9,1,8,1,9,1,8,1,11,1,9,2,24,1,8,1,12,1,24,1,9,3,12,1,10,1,12,1,11,1,9,1,17,2,16,1,11,1,17,12,9,1,30,1,6,1,29,2,6,2,30,1,29,1,28,1,30,1,29,1,30,2,28,1,6,1,29,1,26,1,6,2,25,1,7,1,6,1,25,2,6,1,8,1,13,1,7,1,29,1,25,1,29,1,26,1,27,1,30,1,25,1,30,2,27,2,6,5,8,2,13,2,7,1,13,1,10,1,24,1,12,1,9,1,24,3,9,2,8,1,12,1,17,1,24,1,12,2,10,1,11,1,10,1,17,3,12,2,17,2,12,1,17,1,12,1,17,6,12,1,17,1,12,1,17,2,12,1,11,1,9,1,28,158,30,1,28,2,30,1,6,1,7,1,29,1,30,2,28,4,13,1,30,1,6,2,13,1,30,4,29,1,6,1,30,1,7,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,6,1,30,2,28,1,6,1,13,1,11,1,10,1,11,1,9,1,10,1,9,1,11,1,8,1,10,1,8,1,9,1,8,3,11,1,13,2,9,1,8,1,7,1,13,1,6,2,7,1,30,1,13,1,6,1,9,1,13,3,6,1,30,1,28,1,30,1,13,1,8,2,13,1,9,1,13,4,30,1,29,1,7,1,30,1,6,1,13,1,30,1,6,1,13,2,8,2,11,1,13,2,7,1,13,4,7,1,8,1,13,1,7,1,13,1,7,1,13,1,9,1,6,1,13,2,7,1,8,1,6,1,29,1,6,1,13,4,6,2,28,3,30,1,28,1,30,1,28,4,30,1,28,12,29,1,28,1,30,2,6,1,30,1,6,1,30,1,13,1,7,1,30,1,29,1,6,1,29,1,6,3,30,1,13,2,7,1,8,1,6,1,30,1,13,1,29,1,30,1,6,1,13,1,30,1,13,2,30,1,7,1,29,1,13,1,6,1,13,3,6,3,8,1,13,2,6,1,7,1,13,2,6,1,13,1,8,3,9,2,7,1,9,1,8,1,9,1,10,1,11,1,17,2,11,1,12,1,9,1,24,3,8,1,6,1,28,66,30,1,6,1,13,2,6,1,13,1,24,1,13,3,24,1,9,2,12,1,24,1,10,1,12,1,10,1,8,1,9,1,24,1,12,1,24,1,8,1,13,1,6,1,28,2,30,1,28,2,30,1,28,34,29,1,28,2,30,1,28,5,30,1,28,1,30,1,28,13,30,1,29,1,27,1,25,1,30,1,6,2,28,21,30,2,29,2,7,1,13,1,24,2,12,1,24,1,12,2,17,1,12,1,17,1,12,1,17,2,12,5,17,1,12,2,17,1,12,2,17,1,12,1,17,43,12,1,17,2,11,1,17,4,11,1,17,3,11,1,17,2,11,1,10,1,9,1,12,2,9,1,24,1,11,1,9,2,17,1,11,1,8,1,9,1,8,1,11,1,10,1,8,1,10,1,9,1,12,1,11,1,12,2,17,2,11,2,17,3,11,1,17,1,9,1,17,1,11,1,9,1,12,1,17,1,10,1,17,1,12,1,11,3,9,1,10,1,9,1,12,3,17,1,9,1,12,1,11,4,12,1,9,1,11,2,10,1,11,1,12,1,11,1,12,1,11,1,9,1,12,2,11,3,10,1,17,1,11,1,17,1,11,1,17,1,12,1,17,1,10,1,12,2,10,1,11,3,9,1,17,1,9,1,17,1,10,1,11,4,12,2,10,1,17,1,12,1,11,1,9,1,10,1,11,1,9,1,11,1,10,1,12,1,11,2,10,2,12,1,9,3,24,1,10,1,8,1,9,1,10,2,9,1,10,1,8,1,9,1,8,2,24,1,8,3,13,1,9,1,13,1,24,1,13,1,7,1,8,1,7,1,8,2,7,1,8,1,13,1,8,1,7,2,8,1,13,3,8,1,12,1,9,1,10,1,12,1,17,1,12,2,17,1,12,4,10,2,11,1,17,8,11,1,10,1,9,1,13,1,5,20,28,13,9,1,14,1,12,1,16,1,9,1,24,1,12,1,30,1,6,1,13,1,8,1,6,2,13,1,24,1,8,1,13,1,17,1,12,1,6,1,28,5,6,1,12,1,30,1,28,1,30,1,28,29,}, {30,1,29,1,28,1,30,1,28,5,30,1,28,1,6,1,30,1,29,1,6,1,28,3,30,2,28,9,30,3,28,1,7,1,6,1,9,2,12,1,17,1,12,1,14,2,9,1,6,1,7,1,6,1,8,1,28,1,8,1,12,1,17,1,9,1,10,1,9,2,8,1,13,1,24,1,9,1,7,1,13,2,17,2,16,1,13,2,6,3,7,1,9,2,24,1,8,1,13,1,8,1,13,1,8,1,24,1,9,1,12,1,17,2,9,1,13,1,7,1,9,1,8,2,30,2,28,9,30,1,28,14,29,1,7,1,6,1,7,1,13,1,9,1,15,1,13,1,6,1,29,1,28,1,30,1,29,1,28,1,30,1,8,1,14,1,24,1,9,1,6,1,8,1,6,2,30,2,13,1,6,1,13,3,8,1,24,1,15,2,8,1,29,1,28,14,9,1,13,1,9,2,8,1,13,3,9,2,13,1,8,1,13,1,6,3,29,1,13,2,6,2,13,1,28,1,30,1,6,2,28,1,6,1,30,1,6,3,30,2,29,1,13,1,29,1,6,2,28,6,30,1,6,1,30,2,29,1,6,2,30,2,28,1,29,1,30,1,6,1,30,2,29,1,6,1,29,1,6,2,30,1,29,1,6,1,13,2,6,1,30,1,6,1,28,1,6,2,5,1,33,3,5,2,33,78,5,1,9,1,17,32,6,2,13,3,6,1,28,2,13,1,8,1,24,1,13,1,6,1,29,1,7,1,9,1,12,1,17,1,12,1,6,1,30,1,28,1,30,3,28,9,29,1,28,31,6,1,28,7,30,2,6,2,8,1,10,1,12,1,17,4,12,1,11,1,9,2,8,1,9,2,6,1,28,5,13,1,10,1,12,3,17,6,9,1,33,102,5,263,33,1,13,1,28,1,13,1,8,1,13,1,28,41,30,1,28,40,7,1,6,2,9,1,12,1,24,1,13,1,7,1,8,1,13,1,8,1,6,2,8,1,6,1,13,2,11,1,16,1,28,1,5,169,28,4,30,1,28,159,6,1,29,1,6,1,30,1,28,7,29,2,13,2,24,1,10,1,17,1,12,1,9,1,10,1,9,1,12,1,10,1,11,1,12,1,16,2,11,2,10,1,11,1,9,1,11,1,12,1,9,1,8,1,9,4,11,1,9,1,11,1,9,1,11,1,9,3,13,1,9,1,13,1,9,4,10,1,9,2,11,1,9,3,8,1,13,1,9,1,8,1,9,4,11,1,9,1,24,2,9,1,10,1,9,1,10,1,24,1,11,1,10,1,11,2,17,18,8,2,7,1,29,1,6,2,29,1,30,2,29,1,28,2,29,1,28,1,6,1,29,1,6,1,29,1,6,2,25,1,6,1,7,1,8,1,25,1,6,1,7,4,25,1,29,1,27,2,30,1,26,1,25,1,27,1,26,1,25,1,29,2,6,1,30,1,7,1,8,1,29,1,13,1,8,3,12,1,9,1,10,1,24,2,10,3,17,1,12,2,9,1,12,2,10,1,17,1,12,2,10,1,11,2,12,3,17,1,12,1,17,2,12,1,17,2,12,1,17,3,12,1,17,4,11,1,12,1,9,1,28,157,30,1,28,2,7,2,6,1,28,4,30,1,28,2,30,1,29,1,28,1,29,1,28,2,30,1,28,1,29,1,30,1,28,2,29,1,30,3,28,1,29,1,28,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,28,1,6,1,8,1,13,1,9,1,10,1,9,2,10,1,12,1,10,2,11,1,8,1,10,1,9,2,10,1,8,2,13,1,7,1,6,1,13,1,7,1,8,1,7,1,30,1,6,2,30,1,7,1,13,4,30,2,6,1,29,1,13,3,9,3,8,1,13,1,6,1,13,1,28,1,7,1,30,1,7,1,13,1,30,1,8,1,6,1,7,1,9,1,13,4,6,1,10,1,13,2,10,1,8,1,13,1,9,1,13,1,7,2,13,1,7,1,13,4,6,2,8,1,7,1,13,2,6,1,8,2,28,5,30,1,29,1,28,4,30,1,28,15,30,4,28,1,30,1,6,1,7,1,30,1,6,1,7,1,13,2,7,1,28,1,6,2,7,1,6,1,13,1,6,6,30,1,13,1,30,1,7,1,6,3,29,1,7,3,28,1,8,1,6,1,13,3,8,1,7,1,13,1,7,2,8,1,6,1,10,1,8,1,24,1,13,1,9,3,13,1,9,2,12,1,8,1,12,1,11,1,24,1,10,1,8,1,24,1,6,1,28,65,30,2,6,1,29,2,8,2,25,1,13,1,8,1,13,1,24,1,9,5,17,1,10,2,9,1,8,1,24,1,12,1,10,1,24,1,8,1,30,2,27,1,30,1,29,1,28,1,30,1,28,33,30,1,6,1,28,5,30,1,28,19,25,1,29,1,30,1,27,1,28,24,6,1,28,1,6,2,7,1,8,1,24,1,8,1,12,2,10,1,12,2,17,1,12,1,17,1,10,1,17,1,12,2,17,3,12,2,17,1,12,2,17,1,10,2,11,2,17,1,11,1,17,37,12,1,17,4,11,1,12,1,17,5,11,1,12,1,17,2,10,1,9,1,12,1,10,1,9,1,10,1,17,1,10,1,12,1,24,1,10,1,8,1,9,2,11,1,9,1,10,1,9,1,11,2,12,1,10,1,17,1,12,2,11,1,17,1,11,2,17,1,12,1,17,2,12,1,9,1,11,3,10,1,11,1,17,1,12,1,10,2,11,1,9,1,12,1,11,1,9,1,11,1,17,1,11,2,12,1,11,1,17,1,9,1,11,1,9,1,11,1,10,2,12,1,11,1,12,1,11,2,10,1,11,1,12,2,9,1,17,1,9,1,11,1,12,1,11,1,12,2,11,2,12,1,11,1,10,1,9,2,13,1,9,2,10,1,12,1,10,2,12,1,11,1,10,1,11,3,10,1,11,1,12,1,10,1,11,1,9,1,11,1,10,1,9,1,11,1,9,2,11,1,9,1,24,1,11,1,9,1,24,1,11,1,8,1,9,1,24,1,9,1,8,1,13,1,10,1,9,1,8,1,9,1,13,1,8,1,13,1,12,1,8,1,24,1,9,1,8,1,24,1,7,1,8,1,6,1,8,1,7,2,8,1,7,1,6,2,8,1,7,2,13,1,7,1,13,1,7,1,12,1,10,1,9,1,10,2,12,2,24,1,17,1,12,1,17,1,12,4,17,8,13,1,8,1,13,1,5,23,28,13,16,1,17,1,12,1,17,1,11,1,8,1,6,2,13,1,6,1,8,2,7,1,8,2,13,1,12,1,9,1,11,1,13,1,28,5,13,1,9,1,6,1,29,1,6,1,30,1,6,1,28,27,}, {6,1,28,2,7,1,28,3,30,1,28,1,30,1,6,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,5,6,1,28,2,29,1,8,1,12,1,9,1,8,1,17,2,14,1,9,1,13,2,6,1,13,1,29,1,8,1,17,3,8,2,9,2,11,1,24,1,13,3,6,1,17,2,9,1,29,1,6,1,7,1,29,1,13,1,6,1,8,1,9,1,8,1,13,1,6,1,13,2,7,1,13,1,8,1,9,1,17,2,9,1,13,2,9,1,8,1,15,1,6,2,28,7,30,1,28,16,29,1,30,1,6,1,13,1,7,1,8,1,9,1,24,1,13,1,6,2,28,3,29,1,13,1,7,1,24,2,13,1,8,1,6,1,7,1,30,1,7,1,13,1,6,3,13,2,15,1,17,1,15,1,10,1,28,12,6,1,28,2,7,1,9,1,13,5,30,1,13,2,29,1,30,1,13,1,28,1,6,1,30,1,28,1,6,1,30,1,6,2,30,1,29,1,6,1,28,1,7,1,28,1,13,1,6,1,30,1,29,1,30,1,29,1,6,1,30,2,13,1,6,1,30,1,7,1,30,1,6,1,30,3,28,4,30,1,28,1,6,1,28,4,30,2,28,1,30,1,28,2,29,1,6,1,28,1,30,2,28,1,13,1,6,1,13,1,28,1,29,1,6,1,13,1,30,1,6,2,13,1,28,1,13,2,33,3,5,1,33,2,5,2,33,70,5,1,16,1,11,1,16,1,17,1,16,1,17,28,7,1,30,2,13,1,10,1,9,1,8,1,6,2,7,1,6,1,13,1,28,2,30,2,13,1,10,1,24,1,6,1,28,2,30,2,28,39,30,1,28,1,30,1,7,2,29,1,28,2,30,1,28,1,30,3,8,2,24,1,9,1,17,3,12,1,17,2,11,1,9,1,24,1,13,1,6,1,30,1,6,1,28,4,29,1,6,1,8,1,12,1,17,8,9,1,33,103,5,258,13,1,5,1,13,1,28,1,9,1,11,1,6,2,28,49,30,1,28,29,30,1,28,11,6,1,29,2,30,1,6,4,13,1,7,1,13,1,16,1,9,1,13,1,5,166,28,98,29,1,28,66,30,1,28,1,6,2,30,1,28,1,30,1,28,4,29,1,7,1,13,1,6,1,8,1,24,1,9,3,8,1,12,1,9,1,10,1,17,1,11,1,16,1,11,1,9,4,10,1,9,2,11,1,10,1,9,1,16,1,9,1,12,1,9,2,17,1,9,2,10,1,13,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,11,1,8,1,12,1,9,3,8,1,9,2,13,1,9,9,17,1,8,1,9,1,11,1,10,1,9,3,17,19,11,1,10,1,8,1,6,2,29,1,6,1,29,3,28,1,29,2,6,1,30,1,29,3,7,1,25,1,6,1,25,2,8,1,7,1,8,2,25,1,6,1,7,2,6,1,27,1,6,1,27,2,26,1,25,1,27,2,29,1,7,1,29,1,30,1,6,1,13,1,7,2,9,1,8,1,24,1,12,3,24,1,10,1,24,1,10,1,17,1,10,1,12,1,8,1,10,2,12,1,11,1,17,3,12,2,17,1,12,2,17,1,12,1,9,2,12,1,17,3,11,1,17,4,12,1,17,3,12,3,17,1,11,1,13,1,28,162,6,1,28,1,6,1,29,1,28,1,6,1,30,1,28,1,30,1,28,1,29,2,30,1,29,1,6,1,28,2,6,1,28,1,6,1,28,2,30,1,6,1,28,1,30,1,28,7,7,1,8,1,12,1,9,1,12,1,13,1,10,2,9,1,8,1,10,1,8,3,9,2,8,1,10,1,13,2,8,1,13,5,6,2,28,1,6,1,28,1,29,2,30,1,13,1,6,1,30,1,29,1,6,2,13,2,8,1,11,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,28,1,7,1,13,1,30,1,13,2,8,1,6,1,8,1,13,1,24,1,13,1,9,1,13,1,7,1,13,1,8,1,9,1,13,1,6,1,13,3,8,1,7,1,13,3,8,1,9,1,13,3,6,1,13,2,8,1,13,1,6,1,30,1,28,1,30,1,28,1,6,1,28,16,30,1,28,4,30,1,28,1,6,1,28,1,6,1,30,1,28,1,13,1,28,1,30,1,7,1,6,2,30,1,7,1,13,2,7,1,29,1,7,1,6,6,7,1,6,3,7,1,30,1,6,4,30,1,8,1,13,2,7,1,13,1,6,1,7,1,6,1,8,1,6,1,7,1,6,1,8,1,6,1,8,1,7,1,8,1,6,1,8,1,28,1,7,1,8,1,13,1,8,1,9,1,8,1,10,1,11,1,24,1,8,1,13,1,7,1,30,2,28,65,29,1,13,2,6,2,25,1,8,3,9,2,10,1,9,1,10,1,12,1,11,1,9,1,11,2,12,1,9,1,17,1,12,1,10,1,7,1,8,2,26,1,30,1,29,3,30,1,28,33,30,1,28,2,30,1,28,2,30,1,28,21,30,1,28,26,29,1,30,1,6,1,27,1,25,2,8,1,13,1,12,1,10,1,12,3,17,1,12,1,17,1,24,1,17,1,12,1,17,1,12,1,17,2,15,2,12,4,10,1,17,1,10,1,12,2,10,3,17,32,12,1,17,8,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,2,12,1,10,1,12,1,10,1,9,1,10,1,11,1,12,1,24,1,11,1,9,1,11,1,10,2,12,1,11,1,9,1,17,1,10,1,11,1,17,1,11,1,12,1,17,5,11,1,17,3,11,1,10,1,17,2,11,3,17,1,11,1,9,1,12,1,11,1,10,1,17,1,10,1,12,1,10,2,12,1,9,1,11,3,9,1,17,1,10,1,11,1,12,1,11,1,10,1,11,1,10,1,12,1,10,1,12,1,11,1,10,1,17,1,12,1,8,1,12,1,17,2,11,1,12,1,17,1,12,1,10,1,12,2,9,1,11,1,9,1,11,1,10,2,11,2,10,1,12,1,9,1,10,1,12,1,9,1,12,1,17,1,11,1,12,1,10,1,12,1,17,1,10,1,9,3,12,1,24,1,12,3,9,2,11,1,24,1,11,1,9,1,24,1,10,1,8,2,17,1,24,4,13,1,8,2,13,1,8,1,29,1,13,2,7,1,8,2,13,3,6,1,8,1,13,1,7,1,13,1,7,1,13,1,8,2,6,1,8,1,13,1,7,1,12,2,10,2,12,1,17,1,12,2,17,1,12,2,10,1,17,1,12,1,17,8,8,1,13,1,9,1,5,24,28,12,30,1,9,1,14,1,17,1,12,2,24,1,8,1,6,2,7,1,6,1,13,1,8,2,24,1,13,1,12,2,17,1,29,1,28,5,13,1,24,2,30,1,6,1,28,2,30,1,28,26,}, {28,1,29,1,28,9,29,1,28,1,6,1,28,4,30,2,28,7,30,1,28,4,29,1,7,1,13,1,10,1,12,1,10,1,17,3,14,1,15,1,8,2,13,2,30,1,9,1,17,3,9,2,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,11,1,14,1,11,1,13,1,6,1,30,1,6,1,30,1,6,1,9,1,10,1,8,1,13,2,8,2,13,2,24,1,9,1,17,2,9,1,7,1,8,1,13,1,8,1,12,1,13,1,30,1,28,9,30,1,28,14,6,1,7,1,8,2,7,1,13,1,9,1,11,1,29,1,30,2,13,1,30,1,28,2,24,1,15,1,12,1,24,1,8,1,6,1,30,1,24,1,7,1,30,1,7,1,6,1,30,1,8,2,13,1,9,2,12,1,13,1,6,1,28,11,7,1,28,2,13,2,8,1,29,1,13,2,6,1,28,1,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,1,6,1,28,3,6,1,28,1,6,2,30,1,7,1,28,3,29,2,30,1,13,1,29,1,30,1,13,1,30,3,28,1,29,1,6,2,28,6,30,1,28,5,30,1,28,2,30,1,28,1,6,1,29,1,30,2,6,3,13,1,28,1,30,1,28,1,30,1,6,1,28,1,13,1,30,1,28,1,6,1,13,4,6,1,33,4,5,3,33,62,5,2,17,1,11,1,17,31,11,1,29,2,13,1,8,4,13,1,24,3,8,2,6,1,30,1,29,1,30,1,28,1,30,1,7,1,28,12,30,1,28,31,6,2,13,1,8,1,7,1,29,1,7,2,30,1,6,2,7,1,9,1,12,1,24,1,17,5,12,1,9,1,8,1,28,1,30,1,29,1,28,5,29,1,7,2,13,1,12,1,17,8,5,2,33,102,5,256,13,2,9,1,16,2,13,1,28,1,30,1,28,95,29,1,28,1,6,1,29,1,28,1,29,1,8,1,13,1,24,1,10,1,16,1,13,1,5,164,9,1,28,167,7,1,6,1,30,1,7,1,13,2,30,3,28,1,30,1,29,1,7,1,13,1,24,1,13,1,9,2,11,1,9,1,10,1,12,1,9,1,11,1,12,1,10,1,9,2,12,1,9,1,11,1,9,2,10,1,9,2,8,2,11,1,9,4,8,1,9,4,10,1,8,1,10,1,9,2,8,1,9,1,8,1,9,6,8,1,9,1,8,1,10,1,8,1,9,1,8,1,9,3,12,1,11,1,24,1,13,2,12,2,17,7,12,1,17,4,16,1,17,9,11,1,12,1,8,1,13,1,6,1,30,1,29,1,6,1,29,2,30,3,6,5,29,1,6,3,26,1,7,2,24,1,10,1,13,2,6,1,24,1,6,1,26,1,25,1,8,1,25,1,29,1,25,1,30,1,26,1,25,1,6,1,29,1,7,3,13,1,7,1,13,1,10,1,24,1,9,1,17,1,10,1,24,1,17,1,12,3,24,1,17,2,12,1,17,1,8,1,24,3,8,1,12,1,8,1,12,1,10,3,17,1,24,1,9,1,10,2,12,1,11,1,17,14,11,1,13,1,28,114,30,1,28,41,30,2,28,2,30,1,28,4,30,1,6,1,30,4,6,1,28,3,30,1,28,1,30,1,6,1,28,1,30,3,29,1,30,3,28,1,6,1,30,2,28,1,13,1,8,1,12,1,10,1,11,1,9,4,10,1,9,1,11,1,10,1,9,1,8,1,11,1,9,1,8,6,13,3,7,1,6,3,29,1,30,2,29,1,13,2,6,1,30,2,13,1,30,1,13,1,30,1,9,1,8,1,13,2,9,1,13,1,17,1,13,3,30,1,13,1,6,2,13,1,6,3,8,2,9,1,13,2,8,1,10,2,9,1,13,1,8,2,13,1,8,1,7,1,8,3,13,1,8,1,7,1,13,2,30,1,6,2,7,1,6,1,13,1,6,1,7,1,6,1,30,2,28,2,30,1,28,6,30,1,28,7,29,1,28,7,6,1,30,2,6,3,28,1,30,3,28,1,6,1,30,1,13,1,6,5,7,1,6,2,29,1,30,1,6,1,30,2,28,1,30,2,6,1,29,1,13,1,7,1,30,1,6,1,7,2,30,1,7,3,13,3,7,1,8,1,7,2,8,1,30,1,13,2,7,1,8,1,9,1,8,3,10,1,13,1,8,1,12,2,10,1,8,1,6,1,28,66,30,1,6,4,8,2,29,1,8,1,13,1,8,2,12,1,8,1,10,1,11,2,12,3,17,1,10,1,8,1,10,1,12,2,7,1,6,1,8,1,6,1,29,4,28,31,30,2,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,42,30,1,28,1,6,3,8,1,24,3,10,2,12,2,8,1,12,2,10,1,17,1,12,2,9,1,12,1,10,1,12,1,15,1,10,1,17,1,24,1,10,1,24,1,10,1,12,1,17,1,10,1,9,1,10,2,12,1,11,1,17,21,11,1,17,16,11,1,17,2,11,1,17,1,12,2,17,1,11,1,12,1,11,1,17,1,11,1,12,1,10,2,8,1,9,3,11,2,9,1,11,1,12,1,11,1,12,1,8,1,17,2,11,1,17,3,12,1,17,1,10,1,17,3,11,1,12,1,11,1,12,1,17,2,12,1,11,3,10,1,11,1,10,1,11,4,12,1,11,1,12,2,11,1,12,1,17,1,10,1,9,1,12,1,9,1,10,2,11,1,12,1,10,1,11,2,12,1,11,1,12,1,11,1,9,1,12,1,17,1,9,1,17,1,12,1,11,1,12,1,11,2,9,1,12,1,9,1,12,2,11,1,9,1,10,1,9,1,10,1,12,1,9,2,10,1,9,1,8,1,10,1,12,2,17,1,8,1,17,1,9,1,12,1,11,1,10,2,11,1,10,1,9,2,10,2,24,1,9,2,24,2,10,1,11,1,13,1,9,2,8,1,9,1,10,1,24,1,10,1,8,2,13,1,10,1,7,1,13,1,8,1,6,1,13,1,8,1,13,3,7,1,29,1,8,1,24,1,6,1,13,4,8,2,7,2,9,1,10,1,12,2,9,1,12,1,17,3,12,1,17,4,12,1,17,8,9,1,13,1,5,26,28,12,13,1,17,3,12,1,10,1,24,1,8,1,29,1,6,1,29,1,13,1,6,2,8,1,10,1,24,2,12,1,10,1,6,1,28,5,9,1,24,1,13,1,30,1,29,1,30,2,28,27,}, {28,9,30,1,28,1,30,1,28,1,30,1,28,16,30,2,28,1,29,1,7,1,9,1,8,1,10,1,12,1,10,1,17,1,14,1,11,1,13,1,6,1,7,1,8,1,6,1,8,1,17,2,9,1,8,1,13,1,14,1,9,2,13,1,9,1,13,3,11,1,14,1,11,1,13,1,30,1,6,1,8,1,29,1,6,1,13,2,9,1,8,1,13,1,8,1,11,1,13,1,9,2,10,1,17,2,8,1,7,1,13,1,24,1,9,1,24,1,13,1,28,1,30,1,28,23,6,1,13,1,8,1,24,1,13,1,8,1,14,1,9,1,6,1,29,2,28,4,8,1,6,1,24,1,8,2,29,1,8,1,6,3,8,1,28,1,13,2,6,1,13,1,9,1,24,1,12,1,24,1,30,1,28,10,30,1,29,1,28,2,6,1,8,1,13,1,6,4,28,1,13,1,30,1,28,1,13,1,30,2,29,1,28,1,13,1,7,1,29,1,30,1,6,2,13,1,30,1,6,1,28,1,13,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,28,2,30,2,28,1,6,1,28,10,30,1,28,14,29,2,28,1,30,2,28,10,29,1,30,1,28,1,6,1,30,2,29,1,6,2,28,1,13,4,33,5,5,2,33,58,9,1,17,1,16,1,17,32,6,1,30,2,29,1,8,1,24,1,9,2,24,1,9,1,24,1,8,1,7,1,6,3,30,1,28,1,6,1,28,1,29,1,28,44,7,2,24,1,8,1,24,1,8,2,7,1,8,2,9,2,24,1,17,3,12,1,10,1,11,1,17,2,13,1,28,8,30,1,7,2,9,1,12,2,17,6,16,1,5,2,33,103,5,250,33,1,13,2,9,2,6,1,30,1,28,108,6,1,8,1,10,1,9,1,17,1,5,151,33,1,13,1,28,179,30,1,28,1,29,1,6,2,13,1,6,1,30,1,7,1,8,1,13,1,6,1,7,1,29,1,6,1,8,2,13,1,10,1,11,1,9,1,17,1,10,1,9,1,12,1,11,1,9,1,10,2,9,2,11,1,8,1,9,2,11,1,9,2,11,1,13,1,11,1,9,2,10,1,13,1,9,1,11,1,9,1,8,1,9,3,8,1,13,2,9,1,11,1,8,1,9,2,8,1,10,1,9,1,10,1,9,2,10,1,9,6,10,1,24,1,17,25,11,1,17,1,11,1,10,1,7,2,6,2,29,1,30,1,7,1,29,1,6,1,29,1,30,1,6,2,29,1,7,1,6,1,7,1,26,1,7,1,8,2,24,1,6,1,8,1,13,1,6,1,13,1,8,1,6,1,8,2,30,2,25,2,6,1,29,1,25,2,29,2,13,2,8,2,9,1,12,1,24,1,17,2,12,1,17,1,8,1,12,1,24,3,6,1,29,2,6,3,30,1,29,1,30,1,29,1,30,1,29,1,6,1,13,2,24,1,8,2,9,1,13,1,24,1,8,1,24,1,17,1,12,1,17,1,11,1,17,8,12,2,17,2,12,1,10,1,13,1,6,1,28,153,6,1,28,7,6,1,30,2,28,1,30,1,28,1,6,1,30,3,28,1,29,1,6,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,13,1,9,1,8,1,9,1,8,1,9,1,10,1,9,1,13,1,10,1,9,1,10,2,8,1,11,1,8,1,13,2,9,2,8,1,13,1,9,1,13,1,8,1,13,3,8,1,9,1,13,2,7,1,28,2,30,1,29,1,28,1,30,1,7,1,30,1,6,1,28,1,30,1,13,2,8,1,11,1,13,2,9,3,13,3,7,1,6,1,13,1,6,1,13,1,6,2,13,1,8,1,13,1,8,1,10,1,9,1,17,1,9,1,13,1,9,1,13,3,8,1,9,1,8,1,13,2,24,1,8,2,13,1,8,1,9,1,13,2,7,1,6,1,8,1,6,1,7,1,28,1,7,1,29,1,28,6,6,1,28,2,29,1,28,8,30,1,28,7,30,1,28,1,13,1,28,1,30,1,6,2,30,2,28,1,30,1,7,2,6,1,7,3,13,1,30,1,7,1,6,2,30,1,6,2,13,3,28,1,6,3,7,1,6,1,7,1,13,2,6,1,9,1,13,2,30,1,7,1,29,1,13,1,7,1,6,3,7,1,13,6,8,1,13,1,10,1,13,1,8,1,13,1,11,1,24,1,8,1,7,1,28,29,29,2,28,38,6,2,8,1,6,1,25,1,8,1,7,1,13,1,24,1,10,1,9,1,11,1,10,1,9,1,11,1,17,1,12,1,10,1,11,1,12,1,9,2,24,2,7,1,8,1,6,1,25,1,6,1,29,1,28,32,30,1,8,1,28,4,30,2,28,1,30,1,28,2,30,1,28,45,29,1,6,1,28,1,24,1,6,1,7,1,13,1,10,1,24,3,12,3,10,2,12,1,10,1,12,1,10,1,24,2,12,1,10,5,24,1,12,1,17,1,10,1,11,4,10,1,9,1,11,1,17,30,11,1,17,8,12,2,17,4,9,1,11,2,12,1,11,3,12,3,11,2,17,2,9,1,11,1,12,1,11,1,12,2,11,1,17,1,12,1,11,1,17,4,9,1,17,1,12,1,11,1,12,1,17,1,11,1,10,1,17,5,10,2,17,1,11,4,17,1,12,1,10,1,11,2,9,1,17,1,12,1,10,1,9,1,12,1,11,1,9,1,11,1,9,1,12,1,11,2,9,1,11,1,12,1,11,1,12,2,11,1,17,1,11,1,9,1,17,1,10,1,11,2,17,1,11,1,12,1,8,1,17,1,12,1,9,1,11,3,9,1,24,1,12,1,11,1,9,1,12,1,17,1,9,3,11,1,9,5,10,1,11,1,9,1,12,1,8,1,9,1,24,1,10,1,9,1,24,1,10,1,8,2,9,1,10,2,24,1,9,1,8,1,13,1,8,1,9,1,13,2,8,1,7,1,24,1,13,1,8,1,13,1,7,1,13,2,8,1,29,1,13,1,8,1,13,1,8,1,13,2,6,1,13,2,7,1,8,1,13,1,8,1,12,1,10,1,12,1,9,1,12,1,17,1,12,1,17,3,12,1,17,11,11,1,9,1,5,28,28,12,7,1,16,1,17,1,16,2,11,1,24,1,8,1,13,1,30,1,6,1,29,1,8,1,13,1,8,1,24,1,8,1,12,1,10,1,11,1,29,1,28,5,12,1,9,1,6,1,29,1,30,2,28,2,6,1,28,25,}, {30,1,28,1,30,1,28,1,30,1,28,7,30,2,6,1,30,1,29,1,28,14,30,1,6,2,13,1,24,1,9,1,24,1,9,1,11,1,17,2,15,1,13,1,24,1,29,1,13,1,29,1,6,1,17,3,10,1,13,1,8,1,24,1,9,1,8,1,13,4,8,1,14,1,9,2,6,1,29,1,13,1,7,1,28,1,24,2,11,1,8,1,9,1,13,2,8,1,24,1,9,2,12,1,17,1,9,1,13,1,8,1,13,1,24,1,8,1,6,1,30,1,28,10,30,1,28,13,30,1,13,1,29,1,6,2,15,1,12,1,15,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,13,1,9,1,12,1,8,1,13,3,6,2,7,1,28,1,29,1,6,1,29,1,6,1,8,2,12,1,9,1,10,1,6,1,28,10,30,2,28,1,29,1,10,2,13,2,8,1,13,2,30,2,29,3,6,1,28,1,30,2,13,1,28,1,6,2,30,1,29,1,30,1,6,1,7,1,28,1,13,1,6,1,7,1,6,1,30,1,29,1,6,1,28,1,6,1,28,1,13,1,6,1,30,3,29,1,30,2,28,14,30,1,28,6,30,1,28,1,29,2,28,9,30,1,28,3,30,1,28,1,6,2,30,2,29,1,13,3,30,1,13,2,6,2,28,1,30,1,28,2,30,2,33,1,5,2,33,50,5,3,9,1,11,2,16,1,17,2,16,1,17,29,10,1,6,1,30,2,7,2,9,1,8,1,11,1,8,1,13,1,6,1,29,1,7,1,6,1,13,1,7,1,13,2,7,1,6,1,28,42,29,1,28,1,6,2,8,2,24,1,13,1,8,1,9,1,8,2,10,1,8,1,17,1,10,1,17,1,12,2,17,2,10,1,17,1,13,1,29,1,28,7,29,1,6,1,7,1,13,1,9,1,12,1,17,6,16,1,33,105,5,248,16,1,6,1,28,112,30,2,28,2,13,1,17,1,9,2,16,2,9,1,5,1,33,1,5,146,28,8,30,2,28,1,6,2,28,170,29,1,6,1,29,2,7,1,28,1,13,2,6,1,13,1,7,1,6,1,24,2,13,1,8,1,9,1,10,1,9,1,12,1,9,2,16,1,11,1,8,1,11,1,9,1,8,1,11,2,10,3,9,1,13,1,16,1,9,2,10,1,8,1,9,6,8,1,10,1,9,2,24,1,9,3,8,1,9,1,8,1,11,1,9,2,8,1,11,1,13,1,9,1,11,1,9,2,12,1,9,2,12,1,17,7,12,1,17,8,16,1,17,12,11,1,12,1,13,1,6,2,13,1,6,8,30,1,6,1,29,2,25,1,6,2,25,1,6,2,8,1,6,2,30,1,24,1,7,1,24,1,6,1,8,2,6,2,29,1,30,1,6,1,29,1,6,1,7,1,13,1,24,1,12,1,9,1,24,1,10,1,12,4,8,2,6,1,8,1,6,1,13,1,7,2,8,1,13,1,30,1,6,1,7,1,28,1,30,1,6,1,28,1,7,1,8,1,6,2,8,1,29,1,7,1,13,1,6,1,7,1,6,1,13,1,7,1,13,1,24,1,9,2,12,1,9,1,11,2,12,2,17,4,12,3,9,1,17,2,9,3,30,1,28,148,30,2,28,7,30,1,28,3,30,2,7,1,30,1,28,2,29,1,28,1,6,1,28,1,29,1,30,1,13,1,30,2,6,1,28,1,30,1,6,1,13,1,9,1,8,2,9,2,8,1,10,1,9,1,13,1,9,2,12,1,13,1,8,1,9,2,8,1,9,1,13,2,8,4,13,1,9,1,13,3,30,1,28,1,6,1,7,1,28,2,30,1,7,1,30,1,29,1,30,1,28,1,6,2,30,1,7,3,13,2,8,1,13,1,7,1,9,1,13,1,8,1,7,1,13,1,29,1,30,1,6,1,30,2,7,1,29,1,7,1,8,2,11,1,10,1,17,1,13,1,8,2,9,1,13,1,9,1,6,1,13,1,7,1,9,1,8,2,13,1,8,1,13,6,7,1,13,1,30,1,28,2,29,1,30,1,28,9,30,1,28,1,30,1,28,2,30,1,28,10,29,1,28,3,30,1,7,1,30,1,28,1,29,1,6,1,7,1,6,1,30,2,29,1,6,1,13,1,30,1,7,1,13,1,6,1,29,1,6,2,13,1,6,1,29,1,6,1,7,1,30,2,29,1,30,1,13,1,28,1,6,1,28,1,30,1,7,1,13,2,6,1,7,2,13,1,7,2,13,1,7,1,13,1,7,1,13,2,29,1,7,1,8,1,29,1,13,2,7,1,30,1,8,2,10,1,8,1,17,1,13,1,28,68,6,2,29,2,25,2,8,1,13,1,7,2,9,1,24,1,11,1,9,2,12,1,10,1,12,1,17,1,9,2,10,1,9,1,10,1,13,2,7,1,24,1,8,1,6,1,28,28,29,1,28,6,30,1,29,1,30,1,28,2,30,1,6,1,28,3,30,1,28,44,30,1,6,1,29,1,26,1,6,2,25,1,7,1,25,1,24,2,12,2,10,1,24,5,8,2,25,2,27,1,24,1,25,1,24,2,10,1,24,1,10,2,24,1,10,2,9,1,10,1,9,1,10,1,17,1,12,1,17,34,11,1,12,1,17,5,9,1,10,1,11,2,12,1,11,1,10,1,9,1,11,1,10,4,12,1,17,1,12,1,11,2,12,1,10,1,11,1,17,3,12,1,17,2,12,1,11,1,17,2,12,1,11,2,12,1,17,1,11,2,17,6,12,1,11,1,12,1,11,1,9,1,11,1,9,1,11,2,17,1,10,1,11,1,10,1,11,2,12,1,8,1,11,4,12,1,10,1,11,1,17,1,10,1,11,1,12,1,11,1,17,1,11,6,9,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,10,1,11,1,24,1,12,1,10,1,12,1,9,1,10,1,12,2,9,2,12,1,10,1,12,1,10,2,12,1,9,1,11,1,9,1,8,4,10,1,13,1,9,3,24,1,9,1,24,1,9,1,10,1,13,1,9,1,11,1,8,1,9,1,12,1,13,1,10,1,8,2,13,1,8,1,13,2,7,1,8,1,13,2,7,1,24,1,7,1,13,2,24,1,29,1,7,1,13,1,7,1,13,4,8,1,12,1,9,1,17,1,10,1,17,2,10,1,17,3,12,1,17,10,5,31,28,12,13,1,17,2,12,1,16,1,9,1,8,1,13,1,6,1,29,1,6,1,28,1,7,1,24,5,17,2,28,6,9,2,28,1,29,3,30,1,28,27,}, {28,11,30,1,28,5,30,1,28,11,30,1,28,1,29,1,28,1,30,1,8,1,10,1,9,1,11,1,13,1,11,1,17,2,9,1,7,1,6,1,7,1,6,1,29,1,13,1,9,1,17,1,11,1,13,1,8,1,10,1,24,1,10,1,9,1,8,1,13,3,9,1,17,1,16,1,8,1,13,1,7,1,13,1,8,1,28,1,8,1,9,1,8,2,13,1,6,1,13,1,8,1,24,1,8,1,9,1,12,1,17,1,11,1,8,1,6,1,13,1,8,1,9,1,13,1,30,1,28,9,6,1,30,1,28,3,30,1,28,9,30,2,13,2,8,1,13,1,12,1,15,1,6,1,29,1,6,1,30,2,28,2,13,2,9,1,24,1,8,2,6,2,29,1,30,2,6,5,15,1,12,1,10,1,8,1,6,1,28,14,8,1,9,1,8,1,13,2,9,1,6,1,13,1,28,8,6,1,28,1,29,1,28,1,29,1,30,1,13,1,30,1,6,1,29,1,13,1,30,1,6,1,29,1,13,1,29,1,7,1,28,1,30,1,29,1,30,1,28,2,13,1,28,2,30,1,28,1,30,2,28,1,29,1,30,1,28,2,30,1,28,12,6,1,29,1,30,2,28,19,6,1,30,1,6,1,30,1,7,1,13,1,6,3,30,1,28,8,13,1,33,5,5,2,33,42,5,3,16,2,17,1,11,1,17,34,9,1,28,1,30,1,28,1,6,1,9,1,13,1,8,1,29,2,7,1,29,2,6,1,7,1,24,1,7,1,24,1,8,1,13,1,28,43,30,1,29,1,6,1,13,2,24,3,9,2,24,1,10,2,12,3,8,1,24,2,8,1,24,1,9,1,24,1,6,1,28,8,7,1,29,1,8,2,12,1,17,4,16,1,17,1,5,1,33,106,5,244,13,1,28,1,13,1,30,1,28,118,6,1,17,1,8,1,11,1,17,1,16,1,13,1,30,1,13,1,5,142,33,1,6,1,28,2,30,1,28,3,7,1,6,1,28,178,6,2,7,1,6,1,13,1,6,1,13,2,8,2,9,1,8,1,9,4,17,2,9,1,17,1,11,1,8,1,17,1,9,7,11,1,9,3,12,1,9,2,8,1,9,1,8,4,9,1,8,5,9,1,10,1,9,3,8,1,9,2,11,1,9,3,13,1,9,1,8,1,17,1,12,1,17,4,12,1,17,2,12,1,17,23,11,2,17,1,13,1,7,1,30,1,7,1,6,2,29,2,6,2,29,1,30,1,6,1,29,1,30,1,29,2,6,2,7,1,29,3,6,1,29,1,7,1,28,1,13,1,6,1,8,1,13,1,8,2,24,2,13,1,24,1,8,2,24,1,10,1,24,2,12,2,8,2,9,1,6,3,8,1,7,1,13,2,8,2,6,1,25,3,6,1,25,1,7,1,30,2,8,1,30,1,26,1,25,1,6,1,26,1,29,2,26,1,29,1,6,1,30,1,7,1,8,1,29,1,8,1,13,2,24,1,8,1,13,1,10,1,9,1,11,2,17,1,12,3,10,1,11,2,17,1,11,1,17,1,11,1,17,2,9,1,30,1,6,1,30,1,28,104,30,1,28,32,30,1,28,8,30,1,28,5,30,1,28,4,30,2,28,4,30,2,28,1,30,2,6,2,29,1,30,2,7,1,8,1,9,2,8,3,11,1,9,1,8,1,9,1,10,1,9,1,8,1,9,2,13,1,9,1,8,1,13,1,9,1,7,1,13,3,6,1,13,1,29,1,9,1,13,5,9,1,13,1,6,1,28,1,29,1,28,3,30,1,28,1,29,1,6,1,30,1,6,2,29,1,8,1,13,2,8,1,13,1,24,1,7,1,24,1,13,1,6,2,30,2,7,1,6,1,7,2,6,1,13,1,8,1,11,1,13,1,8,1,9,1,10,1,13,2,7,1,8,1,9,1,13,3,7,1,9,1,8,2,13,1,8,3,6,1,13,2,6,3,30,2,6,1,28,13,30,1,28,8,30,1,28,1,30,1,28,3,30,1,29,1,28,4,30,1,6,1,28,2,6,1,7,1,30,2,13,1,6,1,7,1,30,1,13,1,6,2,13,1,30,2,8,1,6,1,30,2,6,1,30,1,13,1,6,1,30,1,6,1,13,2,7,1,28,1,6,3,13,1,30,1,13,1,6,2,13,2,29,1,13,1,6,1,7,1,13,1,6,1,29,1,13,1,29,1,8,1,13,1,8,1,13,1,8,3,9,1,29,1,28,67,30,1,6,1,30,1,7,1,25,1,7,1,8,1,7,1,24,2,9,1,24,1,9,1,10,1,9,1,11,1,9,2,10,1,12,1,10,2,17,1,10,1,24,1,13,1,8,2,7,1,29,1,28,30,6,1,28,1,29,1,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,47,30,1,29,1,30,1,27,3,6,2,25,1,24,4,8,1,24,1,8,2,25,2,27,1,29,1,30,1,29,1,30,1,27,2,29,1,25,1,8,2,24,1,12,1,17,2,12,3,10,1,17,31,11,1,17,6,11,1,17,1,12,1,17,2,10,1,17,1,12,1,11,1,17,1,11,1,9,1,11,1,9,1,12,2,9,1,10,1,11,1,9,1,11,3,9,1,11,2,12,1,17,1,11,1,17,1,11,1,17,1,12,1,17,1,12,1,17,2,11,1,12,1,17,1,11,1,12,1,17,1,12,1,17,1,12,2,11,1,17,2,12,2,11,3,17,1,12,2,11,2,10,1,11,2,9,1,10,3,11,2,12,1,11,1,10,1,12,1,11,1,10,1,17,1,9,1,11,2,12,1,17,1,11,4,12,1,11,3,12,1,11,1,12,1,10,1,11,2,10,1,11,1,10,3,9,2,8,1,12,1,9,1,10,1,9,1,11,1,10,1,12,1,9,2,10,1,11,1,9,1,10,3,12,1,8,1,9,1,13,2,10,1,13,1,9,1,8,1,11,1,9,1,12,1,24,1,9,1,13,1,24,1,13,1,10,1,24,1,8,1,13,1,24,1,8,3,13,1,7,1,13,1,8,1,7,2,13,1,8,1,13,1,7,1,13,1,7,1,13,4,8,3,17,1,10,1,12,1,17,1,12,1,17,1,10,1,12,2,17,11,16,1,5,32,28,12,30,1,16,1,17,2,16,1,9,1,7,1,13,1,28,1,30,1,6,1,29,1,13,1,8,1,24,1,10,1,12,1,9,1,17,1,12,1,30,1,28,5,12,2,29,1,6,1,29,2,30,1,28,27,}, {30,1,28,10,6,1,28,1,7,1,28,7,6,1,28,5,30,1,28,1,30,1,28,1,29,1,30,1,28,1,6,1,8,1,9,1,8,1,10,1,9,1,17,1,14,1,16,1,8,1,6,1,13,1,29,1,30,1,6,1,12,1,14,1,17,1,9,1,8,1,24,1,9,1,24,1,8,2,13,2,6,1,11,1,17,1,16,1,8,1,6,1,7,1,6,1,13,1,6,1,24,1,9,1,7,1,8,2,13,4,9,1,11,1,17,2,12,1,6,3,7,1,13,1,7,1,30,1,28,10,30,1,28,14,6,1,7,1,13,1,8,1,13,1,9,2,13,1,28,1,29,1,28,3,29,1,6,1,24,1,12,1,24,1,13,2,6,1,7,1,30,1,29,2,28,1,29,2,6,1,7,1,24,1,10,1,15,2,28,6,30,1,28,5,6,1,28,2,30,1,8,1,13,1,8,1,7,1,9,1,13,1,28,15,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,6,6,1,28,5,29,1,28,1,29,1,30,1,28,1,30,1,29,1,30,1,29,1,28,9,30,1,28,3,29,1,30,1,28,1,30,2,28,14,30,1,28,4,30,1,6,1,30,1,6,1,30,1,6,3,30,1,28,1,30,3,28,3,30,2,6,1,30,1,13,1,30,1,13,3,5,1,33,2,5,4,33,21,5,1,33,1,5,1,33,3,5,1,33,2,5,1,33,3,5,1,16,2,17,1,16,1,17,3,16,2,17,32,9,1,7,2,30,1,6,1,29,1,30,2,28,2,30,1,6,1,29,1,13,2,9,1,10,1,8,1,6,1,28,44,29,1,6,2,8,1,9,2,8,1,10,1,24,2,10,1,12,1,24,1,8,1,13,1,8,1,13,1,6,1,30,1,6,1,13,1,7,1,28,9,30,1,29,1,6,1,9,1,12,1,17,6,5,2,33,105,5,241,33,1,13,2,28,29,30,1,28,1,30,1,28,17,29,1,28,70,30,4,28,1,30,1,16,1,17,1,16,1,9,2,13,3,28,2,5,134,9,1,28,188,30,1,28,1,6,1,29,1,28,1,13,2,9,1,13,2,8,1,9,1,11,1,9,2,8,1,11,1,9,1,17,1,11,2,17,1,10,1,9,1,10,1,9,1,8,1,11,1,10,1,17,1,9,1,10,1,8,1,9,1,17,1,8,1,11,1,9,1,10,2,9,1,13,1,11,1,9,2,13,1,9,1,8,1,11,1,8,1,9,2,10,1,11,1,8,2,9,1,12,1,9,2,13,1,7,1,10,1,9,1,8,1,11,1,17,32,16,1,17,2,9,1,6,1,7,1,6,1,7,1,13,1,29,1,7,1,6,2,30,1,6,1,28,1,29,1,28,1,30,1,28,4,30,1,27,1,25,1,29,1,30,1,28,1,30,1,29,1,30,1,6,5,13,1,8,2,24,1,10,1,24,4,17,1,8,1,24,1,8,1,6,1,29,1,13,2,6,1,7,1,25,1,6,1,7,1,8,1,7,1,25,1,6,1,27,1,30,5,27,1,30,1,29,2,30,1,27,1,29,1,27,1,29,1,27,1,30,1,27,1,26,1,6,1,25,1,13,1,6,4,7,1,8,1,6,1,8,1,13,1,24,1,10,1,17,2,12,1,10,1,17,1,12,1,17,4,16,1,11,1,12,1,11,1,17,2,9,1,28,139,30,1,28,5,7,1,28,1,30,1,29,1,28,7,30,1,28,3,30,2,29,1,30,1,28,1,7,1,30,1,6,2,13,2,6,1,8,1,10,1,13,1,8,1,9,1,10,2,9,6,8,1,13,3,6,1,13,4,6,1,13,1,8,1,13,4,29,1,9,1,7,1,13,2,6,1,30,1,13,1,6,1,30,1,28,2,30,5,29,1,6,2,13,3,24,1,6,1,8,1,13,3,9,1,6,1,13,1,7,1,6,1,30,1,6,1,30,2,6,1,9,1,8,1,13,5,8,1,9,2,7,1,8,2,13,1,8,1,13,3,8,2,7,1,8,1,13,1,8,1,13,1,6,1,13,2,6,1,30,2,6,1,30,1,28,1,30,1,28,12,6,1,28,11,30,1,28,2,30,2,29,1,6,1,28,1,30,1,6,1,28,2,30,1,29,1,28,1,6,1,29,1,13,1,29,1,6,1,8,1,28,1,13,1,30,2,6,1,30,1,6,4,30,4,28,1,30,1,6,1,7,1,6,1,13,1,6,3,13,1,6,2,13,1,6,2,7,1,6,1,7,2,24,1,13,1,7,1,29,1,13,1,6,1,8,3,13,1,9,3,30,1,28,31,30,1,28,17,6,1,28,15,30,2,29,1,6,1,8,1,7,1,25,1,8,1,13,3,10,1,8,1,9,2,10,1,9,1,17,1,11,1,12,3,9,1,12,1,10,1,12,1,13,1,24,1,8,1,13,1,28,30,30,1,28,1,29,1,30,3,28,2,30,1,28,49,30,4,27,3,25,1,6,2,25,5,27,2,29,1,30,1,29,1,28,8,29,1,28,1,30,1,25,2,24,2,10,1,24,2,10,1,12,1,17,1,9,1,12,1,17,34,12,1,17,1,11,1,17,1,11,1,17,1,12,1,10,1,17,2,9,1,17,1,9,1,12,1,9,1,11,1,9,2,11,1,9,1,17,1,12,1,11,1,10,2,17,2,11,1,12,1,17,1,11,1,17,1,12,1,11,2,17,2,12,1,11,1,12,1,11,1,17,2,12,1,17,2,12,1,11,1,17,1,12,2,17,1,10,1,17,1,11,2,12,1,11,1,10,1,12,1,11,1,9,1,11,5,10,1,12,1,11,1,12,1,11,3,17,1,11,2,12,2,11,1,10,1,17,1,9,1,11,3,12,1,9,2,11,2,9,2,10,2,12,1,11,1,10,1,12,1,24,1,9,1,11,1,10,1,11,1,10,2,9,4,12,1,10,4,9,4,11,1,8,1,9,1,13,1,24,3,11,1,24,1,9,1,10,1,9,1,10,1,9,2,13,1,8,1,10,1,24,1,13,1,24,2,8,1,13,2,6,1,7,5,8,2,24,1,13,1,8,1,13,2,8,2,24,1,6,1,13,1,12,3,17,1,12,2,17,1,12,1,17,12,5,35,28,12,13,1,11,1,14,1,16,1,11,1,24,1,6,2,30,1,6,2,30,1,6,1,8,2,9,1,17,1,9,1,17,1,11,1,28,6,15,1,24,1,7,1,30,1,28,1,29,1,28,1,30,1,28,26,}, {28,7,30,1,28,3,6,1,29,1,7,1,28,6,30,1,28,11,6,1,29,1,6,1,8,3,9,1,13,1,17,2,11,1,8,1,13,1,6,1,13,1,30,1,6,1,10,1,17,1,9,1,10,1,9,1,8,1,10,1,9,2,24,1,13,1,8,1,13,1,9,1,16,2,13,1,7,1,13,1,7,1,13,1,24,1,13,1,10,1,9,1,8,1,13,3,8,1,9,2,8,1,12,1,17,1,9,1,13,2,6,1,8,1,24,1,6,1,29,1,28,11,30,1,28,12,7,1,6,2,7,2,13,1,12,1,9,1,7,1,6,1,29,1,28,1,30,1,28,2,29,1,10,1,24,1,10,1,24,2,13,1,7,1,13,1,29,1,6,1,30,3,6,1,13,1,9,2,8,1,15,1,6,1,28,9,30,1,6,1,30,1,28,2,29,1,8,1,13,3,6,1,30,1,6,1,28,2,30,1,28,7,30,1,28,1,30,1,29,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,29,1,28,10,30,1,28,4,30,1,28,1,30,1,6,1,28,5,29,1,28,6,29,1,28,1,30,1,28,1,6,1,29,1,28,23,30,1,28,1,29,1,30,1,29,1,28,6,30,1,28,5,6,2,13,1,30,1,6,4,28,1,30,1,6,1,30,1,6,1,33,18,5,3,33,1,5,1,33,5,5,1,33,3,13,2,9,1,16,3,17,1,11,1,17,1,11,1,17,34,12,1,17,1,9,1,13,1,29,1,6,1,30,1,6,1,28,1,29,1,28,2,29,1,30,1,6,1,8,1,24,1,12,1,9,1,8,1,28,44,7,1,6,1,8,2,7,1,8,1,9,1,10,1,24,3,6,1,24,1,8,1,7,2,29,1,28,1,30,1,28,1,29,1,30,1,29,1,30,1,28,7,30,1,28,1,6,1,8,1,10,1,12,1,17,4,5,2,33,107,5,239,13,2,28,29,30,1,29,1,30,1,29,1,28,1,30,2,28,1,30,1,28,4,30,1,28,3,30,2,28,3,30,1,6,1,28,70,29,1,30,4,9,1,12,1,17,3,16,1,17,1,8,1,16,1,9,1,6,2,28,1,33,1,5,121,33,1,28,72,30,1,28,113,30,1,28,13,7,1,13,1,6,1,13,1,24,1,13,1,9,2,11,1,12,1,8,1,9,1,11,1,10,1,9,1,17,1,12,1,9,2,17,1,9,1,11,1,10,1,9,1,10,1,9,1,8,1,11,1,16,1,12,1,10,1,9,1,11,1,12,1,9,5,11,1,8,1,9,1,8,1,10,1,13,1,24,1,9,1,8,1,10,2,9,1,12,1,9,1,13,1,7,1,8,1,13,1,9,1,11,1,17,38,12,1,10,1,8,1,13,1,7,1,29,1,7,1,29,2,30,2,6,1,30,1,28,1,30,1,28,5,30,4,6,1,30,1,6,1,24,1,29,2,7,1,24,1,8,1,6,1,8,3,24,2,13,1,7,1,24,2,8,2,6,1,8,1,24,1,7,1,8,1,29,1,6,1,8,1,6,1,25,1,6,1,25,1,29,1,6,1,29,1,6,1,27,2,8,1,30,1,27,3,29,2,27,1,30,1,26,1,30,1,29,2,28,1,26,2,27,1,26,2,25,1,27,1,6,1,25,1,30,1,13,1,6,1,13,1,7,1,8,1,7,1,24,1,8,2,10,1,9,1,10,1,17,5,16,1,17,7,9,1,28,95,30,1,28,2,30,1,28,45,30,1,28,7,30,2,28,1,30,1,28,2,7,1,28,1,7,1,30,1,6,1,30,2,13,4,9,1,10,1,9,1,11,1,9,1,8,2,9,1,13,1,9,1,10,1,9,2,8,1,13,1,8,1,13,3,7,1,13,2,6,1,7,1,6,1,8,1,13,1,30,1,6,1,13,1,6,1,13,1,6,1,30,1,13,1,7,1,6,1,7,1,30,1,6,1,28,1,29,1,28,1,30,3,28,1,6,1,30,1,6,1,7,1,13,3,7,1,8,1,9,2,13,2,9,1,8,1,13,1,7,1,30,1,6,3,10,1,8,1,7,1,13,3,8,1,13,1,9,1,8,2,9,1,7,1,13,1,10,1,13,1,9,1,11,1,8,1,13,1,9,1,13,2,8,1,9,1,6,1,13,4,6,2,28,3,30,1,28,1,30,1,28,21,30,1,28,5,30,2,28,3,30,1,28,1,6,1,30,1,28,1,13,1,6,1,29,1,13,1,28,1,13,1,28,1,7,1,6,2,13,1,6,1,29,1,7,1,30,2,6,2,30,1,7,1,28,1,6,1,30,1,28,1,6,1,30,2,13,1,7,1,13,2,30,2,13,1,6,5,30,1,13,1,7,1,13,1,7,2,13,2,8,1,9,1,13,1,9,3,6,1,28,25,6,1,28,38,30,1,28,1,30,1,6,2,25,1,6,1,13,1,24,1,8,1,24,1,10,1,24,1,12,1,24,1,17,1,12,1,9,1,12,1,10,1,9,1,17,1,12,1,10,2,17,1,12,1,9,1,24,1,7,1,28,26,30,1,28,5,6,1,28,1,29,1,28,5,30,1,28,2,29,1,28,43,30,2,28,1,30,1,29,1,28,1,26,1,29,1,28,1,6,1,26,1,30,1,29,1,25,1,30,2,25,1,29,1,28,16,30,1,25,1,24,1,10,1,24,1,10,1,9,1,12,1,17,1,24,1,17,1,11,1,17,32,12,3,11,1,12,2,11,1,12,2,17,1,11,1,12,1,10,1,9,1,12,1,9,1,11,1,10,1,11,1,9,1,11,5,12,1,17,5,12,1,17,1,12,1,17,1,11,1,17,1,11,1,17,3,11,1,12,1,11,1,17,2,12,1,17,1,10,1,11,1,17,1,12,1,11,2,10,1,11,3,12,1,9,1,11,2,9,1,11,1,10,2,17,1,11,2,12,1,11,2,17,2,11,3,12,1,11,1,17,1,10,1,11,4,9,1,12,1,11,1,10,1,11,1,12,1,11,1,9,1,10,4,11,1,10,1,11,1,10,1,11,1,9,1,8,1,9,1,10,1,9,1,11,1,10,2,12,2,11,2,12,1,10,2,11,1,9,1,24,1,9,2,8,2,9,1,24,1,9,1,11,1,10,3,9,1,13,1,24,1,13,1,9,1,24,1,8,2,13,2,24,1,13,1,7,1,8,1,13,1,6,1,7,1,13,1,8,3,13,1,9,1,13,1,7,1,24,1,7,1,8,2,13,1,12,1,17,3,12,2,17,1,12,1,17,11,16,1,5,36,28,12,13,1,10,1,14,1,17,1,9,1,13,3,29,1,6,1,7,2,13,1,6,1,8,1,9,1,8,1,17,1,16,1,8,1,28,6,17,1,24,1,6,1,28,1,30,1,28,2,29,1,30,1,28,25,}, {28,11,29,1,28,1,29,1,6,1,28,15,30,2,6,1,29,2,24,1,8,1,11,1,9,1,8,1,17,3,13,1,8,1,6,2,29,1,6,1,14,2,17,1,9,1,13,1,9,1,8,1,9,2,8,1,13,1,7,1,13,1,9,1,17,1,16,1,24,1,13,1,8,1,6,1,7,1,29,1,13,2,24,1,8,1,13,1,6,1,13,1,6,1,9,2,11,1,17,2,16,1,7,1,29,1,13,2,8,1,7,1,30,2,28,23,29,1,13,1,7,1,8,1,7,1,13,1,17,1,24,1,6,2,28,2,30,3,6,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,6,1,13,2,30,1,6,2,13,1,6,1,9,1,11,1,24,1,8,1,6,1,28,1,30,1,28,4,30,1,28,4,6,1,28,2,6,1,9,1,13,1,30,2,6,1,28,1,30,2,28,35,30,1,28,1,30,1,29,1,30,1,28,2,29,1,30,1,29,1,28,6,30,1,6,1,30,1,6,1,7,1,29,1,30,1,28,22,30,1,28,1,29,1,30,1,28,7,30,1,28,1,30,1,28,3,30,1,6,1,13,2,30,1,6,1,30,2,6,1,13,1,28,1,6,1,30,2,6,1,28,1,6,1,30,1,6,1,28,1,33,6,5,1,33,3,5,1,33,1,13,1,6,1,13,5,6,1,13,2,9,1,13,1,6,1,13,3,11,1,16,1,17,1,16,2,17,37,9,1,13,1,8,1,24,1,8,2,13,1,7,1,28,2,30,2,28,1,29,1,7,1,8,1,10,1,12,1,8,2,28,41,6,1,28,1,30,1,28,1,7,2,13,1,8,1,24,3,10,1,24,1,10,1,24,1,8,1,13,1,6,1,7,1,6,1,28,1,29,1,28,1,30,1,28,1,6,1,28,8,30,1,28,1,29,1,7,1,13,1,11,1,17,3,11,1,5,1,33,108,5,237,28,1,30,1,28,29,6,1,30,1,28,2,6,2,7,1,29,1,6,1,30,2,6,1,29,1,6,1,29,1,6,1,29,1,6,2,29,1,7,1,13,1,7,2,6,1,28,1,6,1,28,69,30,4,28,2,6,1,13,1,24,1,10,1,11,1,16,1,12,2,16,1,17,2,11,1,13,1,28,1,30,1,5,116,33,1,13,1,28,4,6,1,28,44,30,1,6,1,28,18,29,2,30,1,29,1,28,111,30,2,28,15,30,1,13,3,8,3,10,1,9,1,16,2,11,2,12,1,10,1,16,1,17,1,12,1,8,1,17,2,8,1,11,3,9,1,12,1,8,1,11,1,9,3,8,2,10,1,9,2,11,1,9,5,10,2,8,1,12,1,9,1,8,1,9,1,8,1,10,1,13,2,8,2,11,1,9,1,17,41,13,2,7,1,29,2,28,1,30,2,6,1,30,1,28,1,30,1,28,3,30,1,28,1,29,1,28,1,30,1,28,2,26,1,6,1,25,1,6,2,8,3,7,1,8,1,24,1,8,2,24,1,8,2,13,1,7,1,24,1,25,2,7,1,8,1,7,1,25,1,6,1,8,1,6,1,7,1,6,3,29,1,6,2,30,1,25,1,27,1,26,1,27,1,29,1,30,1,29,1,27,1,29,1,28,1,29,1,27,1,29,1,25,1,27,2,29,1,27,1,29,2,27,2,25,1,27,1,25,1,27,2,6,2,29,1,8,1,6,1,13,1,6,1,13,1,6,1,29,1,13,1,8,1,24,1,12,1,17,3,10,1,17,10,30,1,28,92,30,1,28,3,30,1,28,1,30,1,28,6,30,1,28,30,30,1,28,9,30,1,28,2,30,2,28,2,30,1,28,1,30,1,6,1,30,1,29,1,30,1,6,1,28,1,9,1,8,1,9,1,12,1,8,1,13,1,9,1,12,1,9,1,8,2,9,2,8,1,13,2,9,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,6,2,13,1,29,1,7,1,30,1,13,2,29,1,6,1,13,1,6,1,13,1,6,1,30,1,7,1,29,2,6,2,30,1,28,1,6,1,28,1,6,1,28,2,30,2,6,1,8,1,13,7,7,1,13,2,7,2,6,1,29,1,30,1,7,1,12,1,29,1,7,1,13,2,8,2,9,1,13,1,9,2,13,1,9,1,8,2,13,1,8,1,13,2,8,2,9,1,13,3,9,1,8,1,6,1,13,1,7,1,29,1,6,2,30,1,28,2,30,1,28,23,6,1,30,2,28,2,6,1,28,1,30,4,28,1,7,1,28,1,29,1,30,2,28,1,29,1,6,2,13,1,28,1,13,1,28,1,30,1,6,1,29,1,6,2,13,1,28,1,6,1,28,1,7,1,13,1,6,1,28,2,13,1,30,1,6,1,13,1,30,1,13,1,28,1,30,1,6,1,7,1,30,1,7,1,28,1,13,2,9,1,30,1,13,1,6,1,29,1,13,1,6,3,8,1,13,1,9,1,8,2,13,2,28,24,29,1,7,1,28,37,30,3,6,1,7,2,24,1,8,2,13,1,9,2,8,1,12,1,9,1,11,1,9,2,10,1,17,1,12,1,10,1,17,2,12,1,24,2,8,1,13,1,28,23,30,1,28,10,30,1,28,4,29,1,28,46,30,1,28,2,30,1,28,2,29,1,28,1,30,2,29,1,28,2,30,2,29,2,28,1,30,1,28,17,29,1,28,1,25,2,24,2,12,1,10,1,12,3,9,1,12,1,17,2,12,1,17,15,16,1,17,13,12,1,17,4,12,2,10,1,11,1,12,1,10,1,12,1,11,3,10,1,11,1,10,1,11,1,12,2,10,1,17,4,12,1,17,5,12,1,17,1,12,1,11,1,17,1,11,1,17,1,12,1,17,1,11,1,12,1,17,1,12,1,11,1,12,1,10,1,12,2,11,1,17,1,12,3,11,4,12,2,9,1,12,1,11,3,10,1,11,2,12,1,17,1,10,1,17,1,10,1,12,2,17,1,10,1,11,2,12,1,11,1,12,1,11,1,10,1,12,1,10,2,11,1,10,1,17,1,11,1,17,1,9,1,12,1,9,1,10,1,9,3,11,1,24,1,11,1,10,2,11,1,10,1,12,1,11,1,12,1,10,1,12,1,10,2,9,3,10,2,9,1,24,2,11,1,10,1,24,1,9,1,10,1,12,1,9,3,8,2,13,2,24,1,13,1,6,1,8,1,6,1,8,2,13,2,8,2,13,1,8,1,24,1,8,4,24,1,8,1,13,1,7,1,24,1,10,1,12,1,17,1,12,2,17,1,12,1,17,12,16,1,5,38,28,12,13,1,14,2,16,1,9,1,8,1,6,1,13,1,6,1,29,1,6,1,13,2,9,1,8,1,11,1,17,2,16,1,17,1,28,6,17,1,24,1,6,1,28,1,30,4,28,26,}, {30,1,28,2,30,1,28,8,6,1,28,1,6,1,28,5,30,2,28,9,6,3,29,1,24,1,13,1,9,1,7,1,9,1,17,3,8,1,6,1,13,1,29,2,6,1,14,1,16,1,17,1,8,1,13,1,11,1,9,1,24,2,8,1,13,4,17,1,14,1,10,1,6,1,13,2,8,1,13,1,8,1,13,1,12,1,9,1,13,1,7,1,13,1,6,1,7,1,10,1,11,1,17,3,7,1,13,1,6,1,9,1,24,1,8,1,6,1,28,2,30,1,28,21,6,1,7,1,6,1,13,3,9,1,8,2,30,1,6,1,30,2,28,2,7,1,24,4,13,1,8,1,13,1,7,1,6,1,7,1,28,1,6,1,7,1,6,1,7,1,10,1,11,1,9,1,15,1,7,1,28,11,30,1,28,2,6,1,8,2,13,2,30,2,28,1,30,1,28,5,30,1,28,4,30,4,28,14,30,1,28,5,29,1,30,1,28,2,13,1,28,1,30,1,29,1,28,4,30,1,28,3,29,1,30,1,29,1,6,4,28,13,30,1,28,1,6,1,28,19,30,1,28,5,30,2,29,1,28,1,30,1,6,2,7,1,13,2,28,1,6,1,30,1,6,2,29,2,6,1,28,5,30,1,6,1,30,1,13,7,9,2,6,1,13,3,7,1,13,1,6,1,13,3,9,1,17,1,16,1,17,4,16,1,10,1,11,2,17,1,12,1,17,29,12,1,17,1,8,1,6,1,7,1,13,1,11,1,12,1,10,1,8,1,29,1,30,1,28,1,29,1,30,2,13,1,8,2,10,2,6,1,28,42,30,1,29,1,28,1,6,1,7,2,24,1,8,1,24,2,10,1,24,1,9,1,8,1,24,1,13,1,7,1,30,1,6,1,28,1,29,1,28,1,30,1,28,11,30,2,8,1,24,1,11,1,12,1,17,1,16,1,13,1,33,110,5,233,33,1,30,1,28,1,30,1,28,28,30,1,28,1,30,1,6,1,13,1,6,1,13,1,6,2,24,1,13,1,24,1,9,1,13,2,8,2,13,1,8,1,6,1,8,1,24,1,7,2,13,1,29,1,8,1,6,2,28,70,29,1,30,1,6,1,29,2,30,4,9,1,15,1,10,1,12,1,17,1,12,1,24,1,10,1,17,2,13,1,30,1,13,1,9,1,33,1,5,111,6,1,28,1,6,1,8,1,9,1,6,2,28,42,30,1,28,3,30,1,6,1,28,1,30,1,6,1,28,7,30,1,28,1,6,1,29,1,28,1,30,1,28,1,30,1,6,1,28,1,6,1,28,109,30,1,29,4,28,12,30,1,28,1,7,1,29,1,6,1,9,1,10,1,8,2,9,1,10,1,16,1,11,1,9,1,16,1,17,1,11,2,12,1,11,1,9,1,17,1,9,1,11,1,12,1,11,1,9,2,12,1,9,1,11,1,9,1,10,1,9,2,11,1,9,1,8,2,9,1,10,1,9,2,11,1,10,1,13,1,10,1,9,1,12,1,13,1,9,1,11,1,13,1,8,1,11,1,10,1,11,1,17,11,12,1,17,30,12,1,10,1,29,1,30,1,29,2,28,2,29,1,28,4,30,1,28,4,30,1,29,1,28,1,6,1,30,1,27,1,30,1,29,1,6,1,24,1,8,1,24,1,13,1,8,1,24,1,13,2,24,1,8,2,13,1,7,2,8,1,6,1,25,2,24,1,25,1,8,1,7,1,28,1,29,2,7,1,30,1,29,1,25,1,29,1,6,1,25,1,27,1,29,2,6,1,27,1,26,3,27,2,29,1,26,1,27,1,26,1,29,1,30,1,27,1,30,1,29,2,28,1,26,1,27,1,25,1,26,2,27,1,29,4,7,2,29,1,13,1,7,1,6,2,7,1,6,1,13,1,7,1,8,1,9,1,12,1,17,3,12,1,17,8,8,1,28,90,30,1,28,4,30,1,28,40,30,3,28,1,29,1,28,2,30,2,28,8,7,1,6,1,30,1,6,2,29,1,6,1,9,2,12,1,9,1,8,1,17,1,9,1,8,2,7,1,10,1,9,1,8,1,13,1,8,2,13,1,8,1,13,2,6,1,7,1,6,3,28,1,29,1,30,1,29,1,7,1,30,1,6,3,30,1,29,1,6,1,29,1,28,1,8,1,29,1,13,2,8,1,6,1,13,2,28,1,6,1,30,2,6,1,13,1,6,1,29,1,28,1,30,1,6,1,7,1,13,2,7,1,9,1,13,3,7,1,8,1,13,5,8,1,10,1,13,1,8,1,6,1,7,1,13,2,8,1,13,2,9,1,13,1,8,2,13,1,8,1,13,1,8,1,7,2,13,1,9,3,7,1,30,1,8,1,13,2,6,1,13,1,28,1,30,1,6,1,28,31,30,1,28,3,30,2,28,2,6,1,30,1,28,1,30,1,6,1,30,1,7,1,28,1,30,2,6,3,7,2,28,1,29,1,6,1,29,1,28,1,30,1,29,1,7,1,28,1,30,1,28,1,6,1,29,1,6,1,13,1,6,3,30,2,28,1,29,1,30,1,7,1,6,1,30,1,7,1,29,1,13,1,7,2,6,2,13,1,30,1,6,1,13,2,9,1,10,1,13,1,9,1,8,1,28,22,29,1,7,1,28,1,29,1,28,8,29,1,28,26,30,1,28,1,30,1,7,1,28,1,7,1,6,1,24,1,8,6,12,1,9,1,8,1,17,1,16,1,11,2,17,4,12,2,24,1,8,2,28,34,13,1,6,1,28,3,30,1,28,47,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,2,29,1,30,1,28,24,30,1,29,1,8,1,24,2,8,2,24,1,17,1,12,2,17,3,12,1,17,31,11,1,17,1,12,1,11,1,10,1,17,3,11,1,10,1,12,1,11,1,12,1,10,1,11,1,17,3,12,1,17,1,11,1,17,3,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,1,12,1,11,1,12,1,11,2,12,1,9,1,17,1,11,1,17,1,12,1,17,1,12,1,11,1,17,1,11,1,17,1,10,1,17,1,10,2,11,1,10,1,12,1,11,1,10,1,17,1,10,1,11,2,12,1,17,1,11,1,12,1,10,1,11,1,9,1,11,1,10,1,12,1,11,1,17,1,11,1,10,1,17,1,11,3,10,1,11,1,9,1,11,2,10,1,17,1,10,1,11,1,10,1,9,1,10,2,9,1,8,1,24,1,11,1,9,2,24,1,17,1,24,1,12,1,24,1,12,1,9,1,10,2,11,1,24,2,8,1,10,2,24,1,9,1,24,1,10,1,11,2,10,1,24,1,11,1,8,1,9,3,8,1,13,1,8,1,13,3,8,2,13,3,8,1,24,1,8,1,13,2,8,1,7,1,24,1,8,2,9,1,24,1,8,3,24,1,12,1,17,1,10,1,17,15,16,1,5,40,28,12,13,1,10,1,9,2,24,1,8,1,13,1,6,1,30,2,6,2,13,1,8,1,13,1,10,1,16,1,17,1,12,1,9,1,28,5,6,1,15,1,8,1,6,1,29,1,28,1,29,1,30,1,28,27,}, {29,1,30,1,28,10,30,1,28,1,30,2,28,12,30,1,28,3,29,1,6,1,29,1,7,1,24,1,8,1,24,1,13,1,10,1,17,2,9,1,6,2,13,1,6,1,13,1,10,1,14,1,16,1,9,2,8,1,12,2,11,1,13,1,8,1,29,2,9,1,16,1,11,1,9,1,13,2,6,1,13,1,7,1,6,1,24,1,12,1,24,1,6,1,7,1,6,1,13,1,24,1,13,1,11,1,17,3,13,1,6,2,24,1,14,1,13,1,6,1,28,24,29,1,6,1,7,1,24,1,7,1,13,1,8,1,24,1,6,1,30,2,28,2,30,1,28,1,6,1,13,1,9,2,24,2,13,2,7,1,6,1,30,1,28,1,6,1,7,1,29,1,6,1,9,1,11,1,9,2,8,1,28,1,30,1,28,9,30,1,28,2,30,1,8,1,13,5,6,1,30,1,28,1,30,1,28,3,30,1,28,7,30,1,28,4,30,1,28,13,30,1,29,3,30,1,29,1,6,1,29,2,30,1,28,1,29,5,28,1,29,1,30,1,28,1,6,1,28,1,30,2,28,26,30,1,28,13,30,2,28,2,29,1,6,1,28,2,30,2,29,1,13,1,28,1,13,1,6,1,29,1,13,1,28,1,30,3,13,1,6,1,30,3,6,1,30,1,13,1,6,1,13,6,28,1,13,1,30,2,8,1,13,4,6,1,13,1,9,1,11,1,17,4,16,1,9,2,11,1,17,2,11,1,17,29,10,1,9,1,13,2,29,1,8,1,7,1,8,1,10,2,13,1,7,1,28,1,29,1,28,1,30,1,13,1,8,1,13,1,10,1,24,1,28,43,30,1,28,1,26,1,8,1,25,1,7,1,24,1,7,1,15,1,24,1,12,1,9,2,8,4,6,2,7,1,29,3,28,13,6,2,9,1,17,2,11,1,33,112,5,230,33,1,28,2,6,1,30,1,28,27,29,1,30,2,29,2,6,1,7,1,6,1,7,1,24,2,8,1,24,1,8,1,24,3,13,1,24,2,8,1,24,1,8,1,24,2,13,1,24,1,8,2,6,1,13,1,28,71,30,1,29,1,6,2,29,2,6,1,29,1,7,1,13,3,9,1,12,1,9,1,10,1,9,1,10,1,17,2,11,1,13,1,30,1,28,1,9,1,5,108,28,49,6,1,30,3,28,1,29,1,6,1,29,1,7,1,13,1,28,3,29,2,6,1,30,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,29,3,30,1,28,107,8,1,28,2,29,1,6,1,30,1,28,1,30,1,28,10,6,1,28,1,6,2,9,1,13,1,8,1,10,1,7,1,9,1,12,1,11,1,12,1,9,1,16,3,11,1,16,1,11,1,17,2,16,1,12,1,9,1,12,1,8,1,10,2,13,1,11,1,9,2,8,3,9,1,8,1,9,1,11,1,8,1,9,4,8,1,13,1,11,1,9,3,13,1,12,1,11,1,17,47,8,1,30,2,29,1,30,2,28,3,30,1,28,1,29,1,28,1,30,1,28,4,30,1,28,5,6,1,26,1,25,2,8,3,24,1,8,1,24,1,13,1,7,1,10,1,6,1,25,1,8,2,7,1,6,1,25,1,26,1,29,1,6,1,30,1,25,1,29,1,6,1,30,1,6,1,27,1,30,1,26,1,6,1,29,1,25,1,29,1,30,1,25,1,30,1,6,1,27,1,29,1,25,1,26,1,28,1,29,1,28,1,29,2,26,1,30,1,27,1,29,5,27,2,29,1,25,1,29,3,26,1,6,1,30,1,29,1,7,1,6,1,29,5,30,1,6,1,28,1,7,1,6,1,10,1,17,12,30,1,28,85,30,1,28,3,30,1,28,5,6,1,28,9,29,1,28,29,30,1,28,6,30,1,28,3,30,1,28,1,7,1,30,2,6,1,29,1,13,1,6,2,8,1,12,1,10,1,12,2,9,1,8,1,9,1,8,1,9,3,8,1,13,2,6,2,13,4,30,1,6,1,8,1,28,1,7,1,6,1,13,1,6,1,30,2,6,3,28,1,29,1,30,2,6,1,30,1,29,1,28,1,6,1,29,1,13,2,6,1,29,1,7,1,30,5,28,2,30,1,6,1,13,2,6,1,13,2,8,1,13,1,9,1,7,1,13,3,7,1,13,2,29,1,13,1,28,1,7,1,6,2,13,1,7,1,13,1,6,1,8,1,13,1,9,1,10,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,11,1,13,4,8,1,9,2,8,1,13,3,30,2,13,1,30,1,28,1,30,1,28,29,29,1,28,5,30,1,28,2,30,1,28,2,6,1,28,1,30,2,29,1,28,1,30,1,6,1,29,1,6,1,7,2,30,1,6,2,7,2,13,1,28,1,7,1,6,1,29,2,13,1,29,1,6,1,29,1,28,1,13,1,6,1,30,1,28,1,6,2,28,1,6,2,7,1,6,1,29,2,7,3,13,2,6,1,13,1,7,1,13,3,8,1,13,1,9,1,6,2,28,19,29,1,6,1,30,2,29,1,28,10,30,1,28,24,29,2,6,1,29,1,8,1,6,1,7,1,24,1,13,1,24,1,8,1,24,1,11,1,10,2,24,1,12,1,9,2,17,1,11,1,17,4,11,1,12,1,24,1,30,1,28,2,30,1,28,23,29,1,28,4,30,2,28,1,6,1,30,1,28,45,30,2,29,1,28,1,30,1,28,7,30,1,28,31,26,1,25,1,8,1,24,1,17,1,10,1,12,1,10,1,12,1,17,32,12,1,17,1,12,1,17,2,11,1,12,2,11,1,12,1,11,1,17,1,10,1,17,1,11,2,10,1,11,1,12,1,17,1,11,1,17,6,12,1,17,5,12,1,17,6,11,2,10,1,12,1,11,1,17,1,11,4,12,1,11,1,10,1,17,1,11,1,10,1,12,2,11,2,9,1,17,1,9,1,11,6,10,1,11,1,17,1,10,1,11,1,9,1,12,1,9,1,11,1,10,1,9,1,12,1,10,1,9,1,11,1,10,1,17,1,10,1,11,1,17,1,10,1,11,1,10,2,9,1,10,1,11,3,9,1,10,1,13,1,17,1,10,3,11,1,17,1,10,1,9,1,10,1,11,1,9,1,10,1,11,1,9,2,8,1,10,1,9,2,10,2,9,1,10,1,12,1,11,1,9,1,12,1,9,1,24,2,8,1,13,4,8,1,13,1,24,1,13,1,9,1,8,2,24,2,9,1,13,1,8,1,13,1,10,1,8,1,24,3,8,1,17,1,12,1,11,1,17,1,9,1,17,1,12,1,17,11,16,2,5,42,28,12,8,1,16,1,10,1,9,1,8,1,13,2,28,1,6,1,28,1,29,1,6,1,13,1,12,1,13,1,8,1,11,1,17,2,13,1,28,6,17,1,24,1,7,1,28,1,29,1,30,1,29,1,30,1,28,26,}, {28,13,30,4,28,3,30,3,28,1,30,1,28,5,30,1,28,3,29,1,8,1,9,1,13,2,24,1,9,1,17,2,9,1,13,1,7,1,13,1,28,1,29,1,8,1,16,1,14,1,10,1,9,4,8,1,10,1,13,2,29,1,8,1,16,1,14,1,8,1,9,1,13,1,6,1,13,1,29,1,8,1,9,1,24,1,8,1,24,1,8,1,7,1,6,1,9,1,8,1,9,1,17,2,11,1,9,1,6,1,13,1,8,2,13,1,6,1,28,25,6,2,7,1,24,1,9,1,24,1,10,1,6,1,29,2,30,2,28,2,30,1,8,1,24,1,8,2,9,2,6,1,8,1,13,1,6,1,30,1,6,2,13,1,7,1,8,1,9,1,10,1,9,1,13,1,29,1,28,9,30,2,28,3,13,1,6,1,9,1,6,1,13,1,6,1,13,1,30,3,28,3,6,1,29,1,28,3,30,2,28,12,30,1,28,10,6,1,13,1,6,3,13,1,30,1,29,1,28,1,29,1,30,4,28,1,29,1,30,1,29,1,28,45,30,2,6,2,30,2,6,1,28,1,30,1,6,1,30,2,28,2,13,1,28,1,9,1,13,2,6,1,30,2,13,1,6,1,28,1,30,2,28,1,6,3,30,1,13,1,6,1,13,10,11,1,13,1,16,1,17,1,16,3,11,1,13,1,7,1,16,2,17,2,16,1,17,27,9,1,8,1,9,1,13,1,6,1,28,1,30,1,6,1,13,1,8,1,17,1,12,1,29,1,30,1,28,1,30,2,13,1,10,1,24,1,17,1,8,1,28,41,30,3,25,1,6,1,26,1,8,3,7,1,24,1,9,1,24,5,8,2,7,1,13,1,7,1,30,1,7,1,29,1,30,1,28,12,30,1,6,1,8,1,11,1,17,1,16,1,5,2,33,110,5,228,33,1,28,34,30,1,7,1,30,1,7,2,13,1,24,1,8,1,24,1,9,1,24,3,9,1,8,1,24,2,9,2,24,1,8,1,24,4,9,1,8,1,24,2,8,1,29,1,28,70,30,1,29,1,28,2,29,1,6,1,28,2,30,1,29,1,30,1,13,1,24,2,10,1,12,2,10,1,8,1,9,2,11,2,8,1,13,1,28,1,13,1,5,101,33,2,28,49,30,1,6,1,29,1,28,1,29,2,6,1,7,1,6,2,13,1,6,1,13,1,29,1,7,1,6,1,7,1,13,1,6,1,29,1,6,4,7,1,29,1,6,1,29,1,30,1,28,1,29,1,28,103,30,1,28,1,29,1,28,1,7,1,30,1,6,1,30,1,6,3,28,1,30,1,28,7,30,1,28,1,30,1,6,1,30,1,13,2,7,1,8,1,9,2,10,1,11,1,10,1,11,1,17,2,11,1,9,1,17,2,12,1,16,1,17,1,9,1,12,2,17,1,9,2,10,1,11,1,8,2,10,1,13,1,11,1,9,1,11,1,8,3,9,1,11,1,8,1,10,1,9,1,17,1,8,1,17,1,8,1,10,1,9,1,17,4,12,1,11,1,12,1,17,1,12,1,17,39,12,1,17,1,28,1,29,1,30,4,28,1,30,1,28,2,30,1,28,8,29,1,30,1,28,1,29,1,30,1,29,1,6,2,8,2,24,1,10,1,6,1,8,1,13,1,24,2,8,1,6,1,24,1,6,1,29,1,6,1,27,1,26,1,29,1,27,1,25,1,28,1,6,1,25,1,30,1,29,1,27,1,29,1,25,1,29,1,27,1,30,1,27,1,25,1,26,1,28,1,29,1,6,1,27,1,30,2,27,1,26,1,25,2,29,1,28,1,30,1,29,2,30,2,28,1,29,3,27,1,30,1,25,1,30,1,29,1,26,1,29,1,30,2,6,1,29,2,30,1,29,1,30,1,29,1,26,1,29,1,24,1,6,2,29,1,13,1,10,2,17,10,11,1,13,1,28,90,30,1,28,3,30,2,28,36,30,2,28,1,30,1,28,4,30,1,28,3,30,1,28,1,30,3,6,1,7,1,13,1,9,1,8,1,17,1,12,1,9,1,10,2,9,4,8,1,13,2,8,1,13,1,7,1,6,2,30,2,6,1,7,2,29,1,30,1,28,4,30,1,28,1,30,3,28,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,13,1,28,1,6,1,30,1,7,1,6,2,13,1,7,1,30,1,28,3,30,1,28,1,6,2,30,1,8,1,13,1,7,2,30,1,13,3,8,1,13,7,6,1,13,1,6,3,13,2,9,1,13,3,9,1,8,1,24,1,8,1,9,1,8,1,9,1,8,3,13,1,9,1,13,3,7,1,9,1,29,1,7,1,13,1,30,2,29,1,30,1,28,32,30,1,28,3,30,1,28,1,6,1,30,1,28,1,30,2,28,2,30,2,28,1,7,1,30,1,6,1,28,1,13,1,30,1,6,1,30,3,28,1,30,1,13,1,30,2,28,1,6,1,30,2,6,2,30,1,7,1,29,1,13,1,28,1,6,1,29,1,30,1,28,2,29,1,30,1,6,2,29,1,28,1,13,1,30,1,13,1,7,1,6,1,7,1,6,1,13,1,7,1,13,2,11,1,9,1,13,1,7,1,28,17,30,2,6,1,30,1,29,1,28,1,30,2,28,13,30,1,28,18,30,1,28,2,7,1,26,1,6,2,25,1,8,1,12,1,24,2,9,1,12,1,9,1,10,1,12,1,9,1,10,1,9,2,17,1,10,1,17,3,12,2,13,1,6,2,28,1,30,1,28,1,30,1,28,22,30,2,28,4,6,2,29,1,30,1,28,42,29,1,28,3,30,1,28,1,27,1,29,1,28,2,30,1,28,36,25,1,26,1,8,1,24,3,12,2,8,1,11,1,17,3,11,2,17,27,11,6,12,2,10,1,17,1,9,1,12,1,11,1,17,1,12,1,11,2,17,6,11,1,17,2,11,1,17,4,11,2,17,1,11,1,17,1,11,3,17,4,11,1,17,2,11,3,12,2,10,1,11,2,12,1,9,1,11,6,10,1,9,1,17,1,11,1,10,1,11,3,9,4,11,2,9,1,17,1,10,1,9,1,12,1,11,1,9,2,11,3,12,1,11,2,10,1,8,1,10,1,12,1,9,3,11,1,9,3,10,1,12,1,9,1,8,1,9,1,8,1,24,1,8,1,9,3,10,1,24,1,8,1,9,2,10,1,11,1,9,1,10,2,24,1,9,1,10,1,9,1,13,1,24,1,8,2,13,1,8,1,13,2,8,1,6,1,24,3,8,4,24,1,8,2,9,1,8,3,9,2,17,2,12,1,17,2,12,1,17,12,5,45,28,1,6,1,28,9,30,1,9,1,17,3,10,1,8,1,13,1,6,2,28,1,30,1,13,1,6,1,9,1,13,1,9,1,11,1,17,2,8,1,28,5,29,1,14,1,24,1,6,1,30,1,6,1,28,1,30,1,6,1,28,26,}, {6,1,28,1,29,1,30,1,28,9,30,2,29,2,30,1,28,2,29,1,28,2,30,1,28,1,30,1,28,6,6,1,30,1,6,1,13,2,10,1,11,1,9,2,17,2,9,1,13,1,7,1,6,2,30,1,9,1,17,2,12,1,9,1,10,1,9,1,10,1,12,1,24,1,8,1,13,1,6,2,12,1,15,1,8,1,13,2,8,2,6,2,13,1,8,1,24,1,8,1,13,1,8,1,13,2,8,1,24,1,10,1,14,1,15,1,24,1,13,1,8,2,13,2,6,1,28,20,30,1,28,3,6,1,28,1,24,1,13,1,8,2,24,1,10,1,8,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,13,1,9,2,8,1,13,1,9,1,13,1,6,1,8,2,6,3,8,1,6,1,13,1,24,2,15,1,6,1,28,9,30,1,28,1,6,1,28,2,30,1,13,5,9,2,28,2,30,1,13,1,28,7,30,1,28,19,29,1,6,1,28,1,7,1,30,1,6,2,13,1,30,1,13,1,28,2,30,2,28,2,30,1,28,3,30,1,28,2,30,2,28,50,29,2,6,1,13,1,28,1,6,1,29,1,28,2,30,1,28,1,6,1,13,1,6,2,7,1,13,1,30,1,13,3,8,1,6,1,13,1,6,1,13,5,8,1,9,1,13,1,9,1,13,2,8,1,9,1,11,1,16,1,17,4,30,1,6,1,9,1,16,2,17,30,24,1,8,1,24,1,13,1,29,1,30,2,29,2,6,1,7,1,24,1,13,1,7,1,13,1,6,1,8,1,9,2,10,1,12,1,30,1,28,42,30,1,29,1,28,1,29,1,6,1,8,1,25,1,8,1,24,2,9,1,24,3,10,1,8,2,24,2,13,1,8,1,13,1,6,3,29,1,30,1,28,11,7,1,6,1,24,1,17,1,16,1,5,2,33,111,5,226,28,2,13,1,30,1,28,29,6,1,29,1,7,1,6,1,13,1,8,2,24,7,10,1,24,1,12,1,24,1,8,1,24,2,8,1,9,1,24,1,8,1,9,1,8,1,9,1,24,1,9,1,24,1,8,1,24,1,9,1,6,1,28,41,30,1,28,29,30,3,6,1,30,1,29,1,28,1,30,1,6,2,30,1,8,1,24,1,8,1,10,1,12,1,9,1,13,1,9,1,13,1,8,1,9,2,8,1,6,1,13,1,5,98,13,1,28,54,6,1,28,1,29,1,30,2,29,1,30,1,6,1,13,1,6,2,8,2,24,1,13,2,6,1,29,1,6,2,13,1,6,1,7,1,6,2,30,3,28,105,6,1,28,1,30,4,29,1,7,1,30,1,6,2,28,1,6,1,28,3,6,1,29,1,28,1,30,2,29,1,13,1,30,1,9,1,8,2,13,1,11,1,10,1,11,2,17,1,10,1,11,1,12,1,16,1,11,1,17,1,12,1,17,1,11,1,10,1,12,1,17,1,9,1,10,1,9,1,11,1,9,1,8,1,10,2,9,5,13,1,9,1,13,1,9,2,11,1,8,1,13,1,10,1,8,1,11,1,12,1,17,4,12,2,17,5,12,1,17,39,10,1,30,3,28,1,30,1,28,1,30,1,28,4,30,2,28,5,30,1,28,2,30,1,29,1,30,1,29,1,6,1,8,1,25,1,8,1,25,1,8,1,24,1,25,2,8,1,25,1,7,1,25,1,8,1,25,1,8,2,6,1,27,1,28,3,27,1,30,1,27,3,29,1,26,1,27,2,26,1,29,1,27,2,29,1,28,1,26,1,27,1,29,4,8,1,28,1,25,1,29,1,27,1,26,1,28,1,30,1,28,1,25,1,27,1,26,1,30,1,25,1,29,1,30,1,25,1,28,1,29,1,28,1,29,1,28,1,29,1,30,1,28,1,30,2,28,1,6,1,29,2,30,3,6,1,29,2,28,1,6,1,12,2,17,9,11,1,13,1,28,76,30,1,28,8,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,30,30,1,28,1,30,1,28,9,30,1,8,1,13,1,7,1,9,1,8,1,9,1,10,1,9,1,8,1,11,1,9,1,11,1,8,2,13,1,8,1,13,3,6,2,28,12,30,2,28,4,30,2,6,1,28,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,6,1,13,1,28,1,7,1,6,1,30,1,6,1,7,1,8,1,30,2,28,1,29,1,30,1,28,1,6,2,13,2,8,1,13,1,7,1,6,2,13,3,7,1,13,1,29,1,7,1,13,1,28,1,13,1,6,1,8,1,13,1,7,1,29,1,13,1,6,1,13,1,8,1,10,1,8,1,9,1,13,1,10,1,9,1,8,2,9,1,13,1,8,1,9,1,13,1,9,1,8,1,13,4,9,1,13,1,30,1,7,1,29,1,28,1,30,1,28,31,29,1,30,1,28,4,30,1,28,2,30,1,28,3,30,1,6,2,30,3,6,2,13,1,6,1,30,2,13,1,29,1,30,2,7,1,13,1,6,1,30,2,28,1,13,1,6,3,28,1,29,1,6,1,30,1,6,1,30,1,7,1,30,1,28,1,30,2,6,1,30,1,7,1,30,1,6,1,7,1,6,1,7,1,13,1,30,1,6,1,29,1,6,1,13,1,8,1,9,1,13,2,9,1,6,1,28,16,6,2,7,1,6,2,30,1,28,1,30,1,28,34,30,1,7,1,29,1,8,3,24,1,10,1,8,1,9,1,10,1,9,2,12,1,11,1,12,2,11,1,9,1,12,1,17,1,12,2,17,1,10,2,6,1,29,1,30,1,6,4,28,10,30,1,28,14,30,2,28,1,29,1,27,1,28,2,30,1,28,43,30,1,27,1,30,1,28,1,29,1,30,1,28,39,27,2,26,1,8,1,24,3,10,1,12,1,17,1,12,1,17,3,12,1,17,21,12,1,17,7,11,1,10,1,12,1,17,6,11,1,17,1,11,1,12,2,11,1,17,1,12,2,17,3,12,1,17,4,11,1,17,3,11,2,17,1,11,1,12,1,9,1,11,1,17,1,12,1,11,1,10,1,17,2,12,1,11,1,17,1,11,1,17,1,11,2,12,3,10,1,11,2,10,2,11,1,12,1,9,1,11,3,10,2,11,1,9,1,10,1,9,1,12,1,10,1,11,1,10,2,12,1,10,1,11,1,10,1,11,1,10,1,12,1,11,2,9,1,10,1,9,1,8,1,9,1,8,1,10,1,11,1,10,1,13,1,9,1,10,2,9,1,10,1,9,1,8,1,24,1,10,1,9,1,8,1,10,3,24,1,9,1,8,1,9,1,11,1,24,1,9,1,10,1,9,1,24,1,17,1,13,1,11,1,8,1,13,1,8,2,24,1,8,3,24,1,8,2,24,1,8,1,24,1,9,2,24,1,13,1,24,1,8,1,24,1,12,1,24,1,9,1,24,1,8,1,24,1,9,1,12,1,17,11,12,1,17,5,5,46,28,11,30,1,10,1,17,3,12,1,24,1,7,1,8,1,6,1,28,1,6,1,29,1,8,1,9,1,13,1,6,1,12,1,11,1,17,1,13,1,28,5,6,1,17,1,8,1,30,1,29,1,30,2,8,1,29,1,28,26,}, {28,14,30,3,28,6,29,1,28,5,30,1,28,1,30,2,29,1,30,1,8,2,12,1,8,1,12,1,9,1,17,2,11,1,8,1,6,1,7,1,6,1,29,1,7,1,17,2,12,1,10,1,11,1,15,1,10,1,9,1,24,1,8,1,7,1,13,1,7,1,15,1,11,1,8,1,24,1,13,2,8,1,13,2,9,1,12,1,9,1,24,1,7,1,13,1,7,1,8,1,10,1,9,1,12,1,14,2,8,1,28,1,13,1,8,1,13,1,8,1,29,1,28,1,29,1,28,23,29,1,7,1,13,1,24,2,10,1,9,1,8,1,13,1,28,1,29,1,28,3,29,1,13,1,9,1,10,1,7,1,9,1,13,2,7,1,8,1,6,1,30,1,6,1,29,1,6,2,13,1,9,1,24,1,15,1,24,1,28,1,30,1,28,7,29,1,28,1,6,1,28,3,13,2,8,1,13,2,28,1,13,1,30,1,6,1,28,2,30,1,28,2,6,1,30,1,6,1,28,1,6,1,30,1,28,4,30,1,28,9,30,1,28,2,30,2,6,2,13,1,29,1,30,1,28,1,30,1,28,1,7,1,28,1,30,2,28,2,30,1,6,1,28,1,30,1,28,2,29,1,30,2,28,1,30,1,28,26,30,1,28,18,30,1,28,1,29,1,6,1,30,4,6,2,30,1,6,1,13,1,28,1,6,1,29,1,30,1,6,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,8,1,13,6,8,2,9,2,8,1,16,1,11,1,16,1,17,1,16,1,9,1,30,1,13,1,16,1,11,1,9,1,17,27,11,1,12,2,10,1,8,2,6,1,7,1,30,4,29,1,6,1,8,1,12,1,9,1,24,1,10,1,17,2,12,1,9,1,24,1,13,1,28,41,30,1,28,1,6,3,27,1,8,1,25,1,24,3,10,1,24,3,7,1,9,1,12,1,24,2,13,1,24,1,8,2,6,1,7,1,30,1,28,1,29,1,28,1,30,1,28,7,29,1,6,1,7,1,8,1,17,2,5,2,33,111,5,225,28,1,6,1,13,1,6,1,28,28,29,1,6,1,7,1,8,1,24,2,13,1,8,1,24,1,8,1,24,1,9,1,8,1,24,5,8,1,24,1,7,1,13,1,8,1,13,1,8,1,13,2,9,1,8,2,24,1,13,1,9,1,12,1,24,1,12,1,6,1,30,1,28,44,30,1,28,1,30,2,28,31,6,1,30,1,29,1,28,1,30,1,28,1,30,1,7,1,8,1,9,1,8,2,24,1,11,1,17,1,11,1,9,1,13,1,5,95,28,55,29,2,6,1,29,2,6,1,7,1,6,1,7,1,30,1,13,1,7,1,13,2,6,1,7,1,13,2,7,2,29,2,6,2,7,1,30,2,28,1,29,1,28,103,30,1,28,1,30,1,28,1,29,2,6,1,7,1,6,2,8,1,13,1,29,1,8,1,6,3,30,2,28,2,13,1,7,1,13,2,6,1,24,1,8,1,9,1,10,1,9,1,11,1,10,1,16,1,11,1,12,1,16,1,11,1,16,1,11,1,12,1,17,2,16,1,17,1,10,1,17,1,13,1,9,1,12,1,16,1,10,1,11,2,9,2,13,1,9,1,10,1,13,2,9,1,8,1,9,2,8,1,13,2,12,1,17,4,10,1,17,11,12,1,17,38,13,1,7,1,30,1,29,1,30,1,28,16,30,1,28,2,29,1,6,3,8,1,24,1,8,3,24,1,8,1,29,1,24,1,7,1,24,1,6,1,27,1,28,1,27,3,25,1,27,4,30,1,26,1,30,1,25,1,27,2,8,1,29,1,27,1,30,1,29,2,27,2,30,2,25,1,30,1,25,1,26,1,30,1,27,1,29,1,30,2,29,1,30,1,29,1,27,1,28,1,30,1,29,1,30,1,29,1,30,2,28,1,30,3,28,2,30,2,28,4,30,1,28,1,30,1,29,2,28,1,29,1,6,1,28,1,30,1,8,1,6,1,24,1,10,1,17,9,9,1,28,77,30,1,28,4,30,2,28,4,30,1,28,1,30,2,28,34,30,1,28,1,30,1,28,12,30,1,7,1,13,1,7,1,13,1,8,1,10,1,9,1,10,1,8,1,9,1,8,1,11,1,10,1,9,2,13,1,8,1,13,2,6,1,30,1,28,18,30,1,28,2,30,1,28,2,6,1,28,2,30,1,6,1,30,1,6,1,13,1,28,1,6,1,30,1,28,2,13,1,30,1,29,1,6,1,28,3,30,1,29,1,13,1,6,1,28,2,13,1,6,2,13,1,8,1,30,1,7,1,6,1,13,1,6,1,13,3,7,1,8,2,10,1,8,1,30,2,29,1,28,1,6,2,13,2,8,1,13,1,8,1,13,1,8,3,9,1,8,1,9,2,13,1,9,1,13,2,8,1,13,2,7,2,13,1,28,2,29,1,28,38,6,1,28,3,30,1,29,1,30,1,28,1,30,2,28,1,29,1,7,1,28,1,6,1,28,1,30,2,6,1,28,2,29,1,6,1,7,1,30,3,28,1,6,1,30,1,6,2,7,1,6,2,7,1,13,1,28,1,7,1,6,1,28,1,30,1,28,2,6,1,30,1,7,1,30,1,28,1,13,1,7,1,13,1,6,1,13,1,30,1,6,1,7,1,13,3,8,1,9,1,10,1,9,1,8,1,6,1,28,14,6,2,29,1,6,1,30,1,28,1,30,1,28,4,30,1,28,28,29,1,6,2,29,1,6,1,8,1,7,1,8,3,12,1,9,1,12,2,10,3,11,1,10,1,12,1,11,1,17,2,12,1,17,1,12,1,9,1,12,1,24,1,29,1,6,4,29,3,6,1,28,2,30,1,28,2,30,1,28,11,29,1,30,1,27,1,28,1,30,1,28,3,8,1,28,1,29,1,28,1,30,1,28,37,30,1,28,2,30,1,29,1,28,1,27,2,29,1,27,1,30,1,28,39,30,1,28,1,29,1,30,1,8,2,24,1,12,1,24,1,12,2,9,1,17,1,11,1,17,1,9,1,17,19,16,1,17,6,12,1,17,1,11,2,12,1,17,4,12,2,17,5,11,1,12,1,11,1,17,3,12,3,17,1,11,1,17,3,11,1,17,4,12,1,17,1,12,1,17,1,11,1,17,1,11,1,12,1,11,3,12,1,11,3,17,1,9,1,11,1,10,1,11,2,17,1,9,1,12,1,9,1,11,2,17,1,10,1,11,2,9,1,11,1,9,1,11,1,12,1,11,1,10,1,9,1,10,2,9,1,10,2,11,3,9,1,11,2,9,4,8,3,9,2,10,1,11,1,10,3,9,1,10,1,11,1,10,1,9,1,13,1,11,1,9,4,24,1,13,1,11,1,9,2,10,4,12,1,10,1,9,1,10,1,9,1,8,1,24,1,7,1,9,1,8,1,9,1,7,1,24,2,13,1,24,1,9,1,10,1,24,1,9,2,8,1,24,1,10,1,13,2,9,2,11,1,12,2,17,17,5,49,28,10,30,1,28,1,9,1,17,3,10,1,9,1,13,1,29,1,30,1,29,1,6,1,30,1,8,1,9,1,24,1,13,1,9,1,17,2,8,1,28,5,13,1,12,1,24,1,6,1,30,1,6,1,28,29,}, {30,2,28,12,6,1,28,1,30,1,28,2,30,3,28,3,30,1,28,3,30,1,28,2,29,1,28,1,30,1,6,1,13,1,8,2,10,1,12,1,17,3,13,1,29,1,6,1,29,1,13,1,8,1,17,2,12,1,11,1,13,1,16,1,15,1,9,2,13,1,7,1,13,1,6,1,12,1,17,1,8,1,13,2,6,1,13,1,6,2,8,1,9,1,12,2,8,1,13,2,8,2,24,1,14,1,15,1,12,1,9,1,6,2,13,1,9,1,8,1,6,1,30,1,28,7,30,1,28,1,29,1,28,15,6,1,8,1,24,1,10,3,8,1,29,1,30,2,28,1,30,1,28,1,6,2,24,1,12,1,8,1,9,2,13,3,30,1,7,1,28,1,29,2,7,1,6,1,24,3,10,1,28,7,30,1,28,6,6,1,8,1,13,1,6,1,13,3,6,2,13,2,29,1,9,1,6,2,28,4,6,2,30,1,29,1,6,2,30,1,28,9,6,1,28,2,30,1,6,1,30,1,28,3,29,1,28,1,30,2,28,5,6,1,28,1,29,1,28,1,30,1,13,1,30,1,29,1,6,1,30,1,28,1,29,1,30,2,28,39,30,1,28,6,6,1,28,1,30,1,28,1,7,1,28,1,30,2,8,1,13,1,30,1,29,2,30,2,28,1,30,1,6,4,13,2,30,1,13,1,8,1,13,3,6,3,9,1,13,1,8,1,13,1,9,3,16,1,17,1,11,2,9,1,7,1,9,1,16,1,11,1,17,1,16,1,17,2,12,1,17,26,9,1,8,2,6,1,8,1,6,1,30,1,6,1,30,2,28,2,6,1,8,1,10,1,11,1,17,2,12,2,9,1,8,1,13,1,28,38,30,1,28,2,30,1,6,1,28,1,6,2,7,1,25,1,8,1,25,1,8,2,24,3,10,1,8,1,24,1,13,1,24,1,9,1,13,1,8,3,13,2,7,1,13,1,29,1,28,11,6,2,9,1,17,1,16,1,5,1,33,112,5,221,13,1,28,1,30,1,6,1,9,1,28,27,29,1,30,1,26,2,25,1,8,2,13,1,12,1,24,1,10,1,24,2,9,1,8,1,9,1,13,1,24,1,13,1,24,1,8,1,13,1,8,1,24,1,8,2,13,1,8,2,24,1,8,2,13,1,9,5,10,1,8,1,13,1,28,38,6,2,30,2,6,1,30,1,6,1,29,1,28,1,7,1,28,2,30,1,28,31,30,1,28,2,29,1,13,1,29,1,13,2,24,1,13,3,8,1,10,1,17,1,30,1,5,93,28,55,30,1,29,3,28,1,6,2,29,2,6,4,7,1,6,1,13,1,7,1,6,3,30,1,6,3,28,1,30,1,7,1,28,1,30,2,28,98,30,1,28,5,30,2,28,1,29,1,6,4,13,1,8,1,13,2,8,1,6,1,8,1,6,1,7,1,13,2,29,1,8,1,13,1,8,4,24,1,7,1,8,1,9,1,12,2,17,2,11,1,17,2,9,1,12,2,17,1,11,1,17,1,12,1,17,1,11,1,9,1,11,3,9,5,10,1,9,1,8,1,13,1,8,1,9,1,17,1,12,1,17,7,11,2,17,1,12,1,17,7,12,2,17,14,16,1,17,24,10,1,13,1,7,1,30,1,29,1,28,2,30,1,28,8,30,1,28,7,29,1,28,2,7,1,8,2,6,1,25,1,6,1,25,3,8,1,6,1,25,1,8,1,26,1,25,1,27,1,26,1,25,1,30,1,27,1,28,1,25,1,30,1,27,4,28,1,25,1,28,1,27,1,30,1,26,1,29,1,27,2,30,1,29,1,28,1,27,1,30,2,27,1,30,1,29,1,30,2,29,1,27,1,28,1,30,1,28,2,29,1,26,1,28,1,29,1,28,1,29,1,30,1,28,3,29,1,30,1,28,4,30,1,6,1,28,3,29,2,30,3,28,3,9,1,6,2,30,1,13,1,8,1,17,8,10,1,30,1,28,77,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,29,1,28,12,30,1,28,20,6,1,28,2,6,1,28,3,29,1,28,1,30,1,6,1,28,4,30,1,28,1,13,2,9,1,8,1,11,1,9,1,11,1,9,3,11,1,9,2,13,1,7,1,6,2,8,2,13,1,6,1,28,26,30,1,28,1,30,3,29,1,6,1,28,1,6,1,13,1,7,1,13,1,6,1,30,1,7,1,30,1,28,1,30,2,28,1,6,1,30,2,28,1,30,2,13,1,8,1,13,1,30,1,13,2,6,1,13,1,9,1,7,1,6,2,13,2,8,1,7,1,9,1,6,1,30,1,7,1,6,1,13,1,6,2,13,2,8,1,13,1,8,3,9,1,8,1,13,2,8,1,13,1,9,1,8,1,9,1,13,2,8,1,13,1,8,1,7,1,13,1,6,1,7,1,13,1,28,41,30,1,28,1,30,1,28,1,30,2,6,1,28,1,30,1,28,2,6,1,13,1,30,1,6,1,7,1,30,1,28,1,30,2,28,1,30,1,6,1,30,1,28,1,6,1,30,2,7,1,30,1,6,2,30,1,28,2,30,1,6,1,30,1,29,2,28,2,30,1,28,1,30,1,7,1,29,1,6,1,30,1,7,1,6,1,7,1,6,2,8,1,13,1,6,1,7,1,9,1,8,1,13,1,9,1,13,1,8,1,30,1,28,12,6,3,7,1,6,1,30,1,6,1,28,2,29,1,28,9,30,1,28,22,29,1,6,1,25,1,7,1,13,1,24,2,10,1,12,2,10,1,9,1,12,3,9,1,12,1,10,1,17,1,10,1,17,4,12,1,8,1,7,1,29,1,25,1,27,2,26,1,27,1,29,1,28,1,29,1,30,1,28,1,30,1,28,4,30,1,28,14,29,2,30,1,25,1,28,2,27,1,28,29,29,1,28,9,30,1,28,1,30,1,25,1,27,1,29,1,25,1,29,1,28,44,27,2,25,1,8,2,12,1,9,1,12,1,9,1,17,1,12,1,17,1,12,1,17,24,11,1,17,1,12,1,17,2,12,2,17,1,11,1,12,1,17,2,11,1,17,3,12,1,17,1,9,1,17,2,12,1,17,4,12,1,17,9,11,1,17,3,12,1,17,1,9,1,17,2,10,1,11,1,17,1,11,1,17,1,10,1,12,3,11,1,9,1,17,1,11,2,10,1,12,1,9,1,12,2,10,1,12,1,11,1,10,1,12,1,10,1,11,1,9,2,8,1,9,1,10,2,9,2,11,1,9,2,12,1,9,2,12,1,8,1,9,4,24,2,9,1,10,2,13,1,9,1,8,1,11,1,10,1,9,1,24,1,9,1,24,1,11,1,10,3,13,1,10,1,9,1,11,1,10,1,8,1,10,1,9,1,10,1,24,1,11,1,9,1,24,1,8,1,13,1,10,1,13,1,24,1,10,1,24,1,13,1,9,1,8,1,24,1,9,1,24,1,13,1,24,3,8,1,12,1,10,1,24,1,9,1,24,1,8,1,9,2,10,1,17,1,12,1,17,16,16,1,5,50,28,5,30,1,28,4,30,1,6,1,16,1,17,3,10,1,24,1,6,2,29,1,28,1,7,1,13,1,24,2,8,2,9,2,17,1,6,1,28,5,6,1,17,1,13,1,7,1,30,2,29,1,30,1,28,27,}, {28,16,30,2,28,4,30,1,29,1,28,5,30,1,28,3,7,1,30,1,7,1,8,2,15,1,9,1,12,1,17,2,11,1,24,1,13,1,30,1,29,1,30,1,13,1,17,4,10,1,9,1,16,1,12,1,24,1,8,1,13,3,10,1,17,1,12,1,9,1,8,1,6,1,13,1,6,1,7,1,8,2,9,1,12,1,13,1,8,1,7,1,8,1,13,1,24,1,15,1,14,1,12,1,24,1,6,1,7,1,24,1,9,1,24,1,30,1,28,3,30,1,28,4,30,1,28,17,13,1,24,1,10,2,9,1,17,1,13,1,29,1,30,2,28,2,30,1,28,1,13,1,24,1,9,1,8,1,24,1,10,1,13,1,6,1,13,1,6,1,13,1,30,1,6,2,7,1,6,1,9,1,15,1,9,1,15,1,28,14,13,1,9,1,13,1,6,1,30,1,13,2,6,1,8,1,6,2,13,1,6,2,28,1,30,2,28,1,30,1,28,1,30,5,28,2,30,1,28,3,30,1,28,1,30,1,13,1,28,9,29,1,28,1,6,1,28,2,30,1,28,7,30,1,28,2,6,3,28,1,30,1,28,41,30,1,28,4,29,1,30,1,13,1,30,1,7,1,30,1,28,1,29,1,28,3,30,1,6,1,30,1,28,1,30,1,13,1,29,1,13,1,6,1,30,1,6,1,30,1,29,1,6,4,13,3,7,1,9,1,8,1,13,3,9,2,13,1,10,1,9,1,16,3,13,2,7,1,11,1,17,32,9,1,13,1,7,1,30,1,6,1,30,1,6,1,30,1,28,3,30,1,29,1,30,1,6,1,13,3,24,3,13,1,30,1,28,36,30,1,28,5,29,3,8,1,25,1,8,2,12,1,8,1,24,1,9,1,8,1,12,1,9,1,8,1,10,1,8,1,24,4,13,1,8,4,13,1,6,1,28,12,13,1,24,1,17,2,5,2,33,111,5,218,33,1,28,3,16,1,9,1,30,1,28,24,29,1,30,1,8,1,24,1,26,1,25,1,24,1,6,1,24,4,10,1,24,1,10,1,12,1,24,2,8,1,24,1,13,1,8,1,24,1,7,1,8,1,7,1,8,1,13,1,24,1,8,2,13,1,8,1,13,2,7,1,24,1,9,3,12,1,10,1,17,1,11,1,8,1,6,1,28,37,6,2,13,1,6,1,13,1,7,1,13,1,6,3,30,1,6,1,30,1,29,1,28,34,30,1,7,1,30,2,29,1,6,1,13,2,8,2,10,1,17,1,9,1,5,90,30,1,28,52,29,2,6,1,13,1,29,1,30,1,28,2,6,2,30,1,7,1,29,1,6,2,7,1,13,1,29,1,13,4,6,4,30,1,6,1,30,1,29,1,6,1,28,2,30,1,28,103,30,1,28,1,29,1,6,3,8,1,13,1,7,1,13,1,7,1,13,1,8,1,13,1,7,1,8,1,7,2,6,1,8,1,13,3,8,1,17,1,13,1,10,1,24,1,11,1,12,1,17,1,9,1,12,1,11,2,17,1,12,1,16,1,12,1,17,1,11,1,16,1,10,1,11,1,17,1,12,1,9,1,11,1,12,1,10,1,11,1,10,1,9,4,10,1,11,1,8,1,11,1,17,1,11,1,17,36,16,1,17,3,16,1,17,1,16,1,17,17,11,1,12,1,30,1,7,1,30,4,28,13,30,1,29,5,8,1,26,1,8,3,25,1,6,1,25,1,8,1,26,1,8,1,26,1,29,1,27,1,26,1,30,1,25,1,29,1,27,2,29,2,26,1,27,1,29,2,30,1,29,1,28,1,27,1,29,3,30,1,27,1,30,1,29,1,28,1,27,1,28,1,29,1,25,1,30,1,29,5,28,1,30,2,27,1,28,1,30,2,28,2,29,1,28,3,30,1,28,7,30,1,28,3,30,1,28,2,29,1,30,1,28,5,29,1,28,1,30,1,6,1,29,1,30,1,13,1,6,1,12,1,17,4,11,1,12,1,11,1,30,1,28,77,6,1,30,2,28,5,30,2,28,3,30,1,28,10,30,1,28,16,30,2,28,1,6,1,30,1,6,1,30,1,28,1,30,1,28,2,29,1,30,1,6,1,30,1,28,1,7,1,13,1,9,1,7,1,13,1,8,1,11,1,9,2,10,1,8,1,9,1,11,1,8,1,9,1,8,1,6,1,13,2,7,1,8,1,6,1,28,28,30,1,28,1,29,1,6,1,28,1,6,1,30,3,28,1,6,1,29,1,30,1,13,1,6,4,13,1,28,1,6,1,30,1,7,1,30,1,28,1,6,1,13,1,6,1,7,1,6,1,29,1,6,2,30,1,6,1,13,2,29,1,13,1,7,1,8,1,11,2,6,1,13,2,6,4,7,2,6,1,7,1,8,1,9,1,8,1,13,1,8,1,9,1,6,1,9,2,13,2,9,1,8,2,13,2,9,1,13,2,30,1,28,2,30,1,28,30,30,1,28,3,30,1,28,14,6,1,28,1,6,1,29,1,28,1,30,1,28,1,30,2,28,2,6,1,28,1,7,1,28,1,30,1,6,1,29,1,28,1,30,1,28,1,6,1,30,2,6,1,29,1,28,1,30,1,28,2,30,3,28,1,29,1,30,2,29,1,30,1,29,1,30,1,28,1,7,1,30,1,13,1,6,1,7,1,13,3,7,1,9,1,13,1,9,2,8,2,30,1,28,10,30,1,13,1,8,1,28,1,7,1,8,1,6,1,13,1,28,1,30,1,6,1,30,1,28,5,30,1,28,22,29,1,6,2,7,2,25,1,8,1,24,1,8,1,12,1,10,1,12,1,9,1,12,2,10,1,12,1,17,1,9,1,10,1,12,1,11,1,17,2,11,1,12,1,10,1,24,1,8,1,6,1,25,1,27,2,25,1,29,3,28,1,29,1,28,2,30,2,28,1,30,1,28,12,30,1,28,1,30,1,28,2,26,1,30,1,27,1,30,1,28,38,30,2,29,1,26,1,25,2,8,1,26,1,6,1,28,45,29,1,27,1,25,2,24,4,17,1,12,2,17,2,12,1,17,17,11,1,17,3,11,1,17,4,11,1,17,2,11,1,17,10,12,1,17,1,11,1,17,3,10,1,17,12,12,2,11,6,10,1,11,1,17,1,11,1,12,1,17,2,12,1,17,2,12,2,17,1,9,1,17,1,9,1,10,1,17,1,10,2,11,1,12,1,10,1,9,2,10,1,11,3,9,1,10,1,9,3,10,1,12,2,8,1,12,1,9,2,10,1,9,1,10,1,9,1,10,3,9,1,10,3,11,1,8,1,13,1,9,1,10,1,11,1,9,1,10,1,8,1,24,1,8,1,9,4,11,1,24,2,9,1,24,1,8,1,10,2,9,1,8,1,9,1,13,1,24,6,9,1,8,2,10,1,24,2,8,1,24,1,11,1,10,1,8,1,10,1,8,1,24,1,8,2,10,1,12,1,17,2,12,1,17,16,5,52,28,1,30,1,28,3,30,1,28,6,9,1,17,3,11,1,24,1,6,1,7,1,30,1,28,1,29,1,6,1,24,1,8,3,12,1,9,2,30,1,28,5,7,1,14,1,8,1,6,1,29,1,6,1,29,1,6,1,28,27,}, {30,1,28,2,30,2,28,12,30,1,28,4,30,2,28,6,30,1,28,1,29,1,30,2,7,1,13,1,8,2,24,1,11,1,17,2,9,1,8,1,6,2,13,1,6,1,7,1,17,4,12,1,11,2,12,1,9,1,13,1,8,2,13,1,8,1,16,1,10,1,11,1,13,3,7,1,30,1,24,1,12,1,9,1,17,1,24,1,8,1,7,1,24,1,10,1,8,1,15,1,17,2,24,1,6,1,13,1,9,2,8,1,7,1,28,5,30,1,28,17,30,1,28,1,29,1,6,1,8,1,9,1,12,1,11,1,17,1,9,1,6,1,28,1,29,1,28,2,30,1,29,1,7,1,24,1,9,1,24,1,9,1,24,1,9,1,13,1,7,1,13,1,28,1,6,4,13,1,9,1,10,1,9,1,10,1,29,1,28,10,6,1,28,2,7,1,9,1,6,2,13,4,9,1,13,1,6,2,30,1,13,2,30,1,6,1,28,1,30,2,28,1,6,1,28,13,30,2,28,11,30,1,29,1,6,1,29,1,28,4,30,1,28,4,13,1,28,2,30,1,28,3,30,1,28,39,30,1,28,2,30,2,6,1,28,1,30,2,6,2,28,1,29,1,28,2,6,1,13,2,29,1,6,2,30,1,28,1,6,1,13,1,30,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,30,1,28,1,13,1,7,1,13,1,9,1,13,2,9,2,11,2,9,1,8,1,13,1,9,1,11,1,17,1,16,1,17,26,16,1,12,3,10,1,13,1,30,2,28,4,30,1,28,2,30,1,29,2,7,1,29,1,7,1,13,2,8,3,30,1,28,40,29,1,28,1,30,1,6,2,7,1,25,1,6,1,8,3,24,1,12,1,8,1,12,2,24,1,10,2,24,3,8,1,24,2,13,1,24,1,13,1,30,1,28,14,13,1,10,1,17,1,9,1,5,1,33,112,5,214,13,1,28,3,11,2,6,1,30,1,28,22,29,1,28,1,6,2,7,1,6,1,13,1,6,1,7,2,13,1,8,1,7,1,24,2,12,1,24,1,8,3,24,2,13,1,9,1,24,1,8,1,24,1,8,1,13,1,8,1,24,1,8,1,13,1,24,1,8,1,24,1,8,2,13,1,9,1,24,3,11,1,8,1,24,1,17,2,8,1,9,1,28,37,13,1,9,1,13,1,8,3,24,3,12,2,8,1,13,1,29,1,28,6,7,1,30,1,28,29,30,1,28,1,7,1,28,1,7,1,8,1,13,1,9,1,11,1,16,1,5,87,33,1,28,54,6,1,7,2,13,1,29,1,30,1,28,1,30,2,28,3,6,3,7,1,29,1,7,2,6,1,7,1,13,2,7,2,6,1,29,1,6,3,28,1,29,1,30,1,28,101,30,1,28,2,30,1,7,1,28,1,6,1,13,1,6,2,13,3,9,1,13,2,24,1,13,1,24,1,8,4,13,2,8,2,10,1,9,1,8,1,17,1,10,1,17,1,12,1,17,1,11,1,12,1,17,1,16,3,17,2,16,1,12,1,17,1,16,1,12,1,11,1,9,1,10,2,9,1,16,1,11,2,10,1,9,4,8,2,17,1,12,2,17,18,11,1,17,18,16,1,17,13,16,1,17,9,24,1,29,2,6,2,30,1,28,10,30,1,28,4,29,1,30,1,6,1,30,1,25,1,6,1,8,3,25,2,6,1,8,1,25,1,8,3,27,4,25,1,27,1,25,1,29,1,28,1,26,1,30,1,27,3,28,1,29,1,28,1,30,1,28,1,30,1,29,2,28,2,30,1,27,1,25,2,29,1,30,1,29,1,27,1,30,1,27,1,28,5,30,1,28,3,30,3,28,2,30,2,28,10,29,1,28,1,29,1,28,1,29,1,28,1,30,1,29,1,30,2,29,1,6,1,30,1,28,2,30,3,28,1,29,1,13,1,12,1,10,1,17,1,12,3,17,1,6,1,28,81,30,1,28,1,30,1,28,10,30,1,28,1,6,1,28,2,30,2,28,21,30,2,28,1,30,1,6,1,13,1,28,1,29,1,6,2,13,1,6,1,13,1,30,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,7,1,6,1,7,1,6,1,13,1,28,33,30,2,6,1,30,1,13,1,30,2,28,1,6,1,28,1,7,1,6,1,28,1,6,2,13,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,7,1,6,1,7,1,6,1,13,3,7,1,13,1,6,1,9,1,8,1,13,1,8,1,17,1,13,1,6,2,13,1,6,1,13,1,6,2,28,1,7,1,13,2,8,1,7,1,9,1,13,1,10,1,8,1,13,2,7,1,13,1,8,1,13,2,10,1,9,1,8,1,13,1,7,1,13,1,8,1,9,1,29,1,28,43,30,1,28,2,30,1,28,2,30,3,28,1,30,2,6,3,30,1,6,1,30,2,28,1,30,1,7,1,6,1,29,1,28,1,6,2,28,1,6,1,29,1,6,1,30,2,28,1,30,3,6,1,28,4,30,1,28,2,6,1,29,1,6,1,13,1,30,2,7,1,13,1,7,2,6,1,13,4,9,1,13,1,8,2,6,1,29,1,30,1,28,8,30,1,6,1,13,2,8,1,7,1,6,2,30,1,29,1,30,1,28,2,30,1,28,2,6,1,28,1,30,1,28,23,6,2,8,1,24,1,13,1,24,2,12,1,24,2,10,1,12,2,11,1,9,1,17,1,11,1,9,1,12,1,10,1,11,1,17,1,12,2,10,1,8,1,6,1,29,1,6,2,29,1,27,1,26,1,6,1,29,1,30,1,28,1,29,1,30,1,28,1,29,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,2,27,1,29,1,28,25,30,1,28,2,29,1,28,1,29,1,28,1,30,1,28,5,30,1,28,2,29,1,28,1,29,1,26,1,25,1,8,3,29,1,28,44,27,1,30,1,27,1,25,2,24,1,12,1,10,3,9,2,17,2,12,1,17,5,16,1,17,20,11,1,17,5,11,1,17,1,11,1,17,4,12,1,11,1,17,1,11,1,17,8,11,1,12,1,17,1,11,3,17,1,11,1,17,1,11,1,17,1,11,1,17,2,9,1,11,1,12,1,11,1,12,2,17,1,11,1,10,1,17,2,11,1,10,1,17,1,10,1,17,1,12,1,11,1,17,1,11,2,12,1,9,1,10,1,11,1,9,3,13,1,17,1,10,1,9,2,10,1,12,1,10,1,9,1,11,1,10,3,9,2,10,2,8,1,10,1,24,3,10,1,8,2,24,1,12,1,8,1,24,1,10,1,11,1,9,1,8,1,9,1,11,1,24,1,9,1,11,1,10,1,9,1,24,1,8,1,12,1,9,1,10,2,24,1,8,1,9,1,8,1,10,1,24,1,8,2,10,2,24,1,8,1,24,1,8,1,9,3,24,1,11,1,8,1,10,1,24,4,10,1,24,1,17,2,10,1,12,2,17,17,5,53,28,5,30,1,28,5,13,1,16,1,17,2,16,1,11,1,24,1,7,2,29,1,7,1,13,1,7,1,8,1,7,1,6,1,8,1,13,1,24,1,9,1,6,1,28,5,8,1,17,1,6,2,30,1,6,1,30,1,29,1,28,27,}, {30,1,28,3,6,1,28,8,30,1,28,5,30,1,28,2,30,2,28,7,30,2,28,1,6,2,8,1,24,1,8,1,24,2,17,3,24,1,13,1,29,1,13,1,6,1,29,1,12,1,17,3,10,1,16,2,11,2,24,2,8,2,9,1,17,1,11,1,24,2,7,1,13,2,28,1,13,1,12,2,24,1,9,1,8,1,13,1,8,1,9,1,8,1,11,1,17,2,8,1,6,1,13,1,8,2,24,1,6,1,28,5,30,1,28,19,29,2,8,1,11,1,8,1,15,1,10,1,11,1,30,1,29,1,30,2,29,1,28,1,29,1,8,1,9,1,10,1,9,1,8,1,9,1,13,1,8,1,13,1,6,2,29,1,7,1,6,2,13,1,10,1,9,1,14,1,8,1,6,1,28,10,30,1,28,3,13,2,30,2,13,3,6,1,9,1,13,1,9,1,6,1,13,1,9,1,28,1,13,2,30,2,28,1,6,1,30,1,28,1,6,2,28,2,30,1,28,5,6,1,28,6,30,1,28,8,29,2,28,1,30,1,28,2,30,1,28,3,6,2,28,3,30,3,28,4,30,1,28,4,30,1,28,23,30,1,28,1,30,1,28,14,6,2,30,2,6,2,28,1,29,1,30,1,28,2,30,1,28,2,30,1,13,1,30,1,29,1,13,1,6,1,13,1,30,1,13,2,7,1,8,1,13,1,9,1,7,1,8,1,6,1,13,1,8,2,9,2,8,1,24,1,13,2,17,1,16,1,17,1,12,1,16,1,17,26,12,2,24,1,8,1,6,1,29,1,28,2,6,1,28,4,29,1,28,1,6,2,28,1,30,1,7,1,6,1,13,1,6,1,24,1,13,1,28,39,30,1,28,3,6,1,30,1,25,1,30,1,6,1,7,1,25,2,24,3,12,1,24,2,8,1,10,1,9,1,24,1,8,1,24,1,13,1,24,1,8,1,24,1,29,1,28,16,30,1,29,1,9,1,17,1,9,1,33,113,5,209,33,3,28,1,30,1,16,1,17,1,11,1,28,28,6,2,13,1,30,1,8,4,7,1,24,1,8,3,24,6,13,1,8,3,7,1,24,1,7,1,8,2,6,1,24,1,8,1,13,2,24,1,8,1,24,1,10,1,24,2,10,2,24,2,12,1,10,1,17,2,11,1,13,1,28,35,6,1,13,2,8,1,11,1,8,2,9,2,12,1,13,1,7,1,13,2,6,1,28,5,7,1,8,1,29,1,28,10,30,1,28,18,30,2,29,1,28,3,8,1,13,1,9,2,16,1,5,81,33,1,5,3,13,1,28,47,30,2,28,4,7,1,13,1,8,1,7,1,13,1,6,1,30,1,28,1,30,1,29,1,30,1,6,1,30,2,6,2,7,1,13,1,7,4,13,2,7,2,13,1,7,1,8,1,29,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,49,29,1,6,1,28,48,30,2,28,1,29,1,7,1,29,1,7,1,6,1,13,1,24,1,13,1,8,2,13,1,9,1,13,1,8,1,9,2,13,1,8,5,12,1,24,1,11,1,8,1,9,2,17,1,9,1,10,1,17,1,12,1,17,1,10,1,11,1,17,1,11,2,9,1,17,1,11,1,16,2,11,1,16,1,9,1,11,1,9,1,11,1,9,1,16,1,8,1,17,1,11,1,12,1,9,1,10,1,17,1,12,1,17,1,9,1,17,25,16,1,17,36,13,1,7,1,29,1,6,1,29,1,28,1,30,1,29,1,28,6,29,1,28,2,30,1,28,3,6,1,30,1,28,1,6,1,29,1,7,1,8,1,6,1,25,1,29,1,8,1,25,1,26,1,8,1,27,1,25,2,27,1,25,1,26,1,27,1,29,1,27,1,25,1,27,2,8,1,30,1,27,1,30,1,29,5,28,1,29,1,6,1,29,1,28,1,29,1,27,1,28,1,30,1,29,1,30,2,27,1,28,1,27,1,30,1,29,1,30,1,28,1,27,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,7,30,1,28,6,30,1,28,5,29,1,28,2,29,1,28,1,6,2,30,2,29,1,28,1,30,4,6,1,13,1,8,2,17,1,12,1,17,2,28,95,6,1,29,1,28,1,30,2,28,20,30,1,28,1,30,1,6,1,7,1,8,1,13,2,6,3,13,2,6,1,7,1,8,1,13,1,11,1,9,1,8,3,11,1,7,1,9,1,8,2,6,3,28,2,6,1,28,29,30,1,28,1,13,1,30,2,28,3,7,1,28,2,30,1,28,2,30,1,28,1,6,1,28,1,29,1,6,1,30,1,28,1,30,1,29,1,28,1,29,1,28,1,13,1,30,1,13,2,30,1,13,1,28,2,13,2,7,1,30,1,13,1,7,1,17,1,9,2,7,1,13,2,30,1,6,1,30,1,13,1,7,1,13,1,29,1,7,1,13,1,8,1,13,3,9,1,24,1,8,1,10,1,8,2,13,1,7,1,13,1,9,1,8,1,13,1,7,1,30,1,29,1,28,2,6,1,28,44,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,29,1,28,1,30,1,6,1,28,1,6,1,30,1,28,2,6,1,13,1,29,1,28,1,6,1,28,3,7,1,29,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,3,29,1,30,1,28,1,6,1,30,3,8,1,6,1,13,1,6,1,7,2,13,3,8,2,13,1,8,1,10,1,13,1,29,1,28,7,30,1,13,1,8,2,13,1,8,2,7,1,30,1,6,2,29,1,30,1,28,1,6,4,28,23,6,1,30,1,25,1,8,1,13,2,24,1,10,1,24,2,10,1,12,2,9,1,12,1,10,2,17,1,12,1,9,1,10,1,11,1,17,1,12,1,10,2,24,1,7,1,6,1,7,1,29,1,8,1,30,1,8,1,30,1,29,2,30,1,29,1,28,3,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,5,6,1,28,1,30,1,28,27,30,1,28,4,29,2,28,2,30,1,28,1,27,1,29,1,27,1,25,3,24,1,25,1,29,1,28,3,30,1,29,1,30,1,28,35,30,1,28,3,29,2,27,1,26,2,24,1,12,1,24,1,12,3,10,1,12,1,17,7,16,1,17,9,11,1,17,1,12,1,17,1,11,1,17,1,12,1,17,4,11,2,17,2,11,2,17,2,12,2,17,1,12,1,17,4,11,1,17,5,12,1,17,1,11,2,9,1,17,2,11,1,17,1,11,2,9,1,11,2,10,1,11,1,9,1,17,1,10,1,11,1,12,2,11,1,12,1,11,1,17,1,12,2,11,1,10,1,17,1,10,1,17,1,11,1,9,1,11,1,10,1,12,1,11,3,9,1,10,5,9,1,10,1,11,3,17,1,11,1,10,2,11,1,10,1,12,1,9,3,11,1,8,1,10,1,9,1,11,1,8,1,9,1,12,1,9,2,10,1,24,1,12,1,10,1,9,2,24,1,8,1,10,2,11,1,9,1,8,1,9,1,24,2,8,1,24,2,11,1,10,1,8,2,24,1,8,1,11,1,24,2,8,1,9,1,8,1,24,4,9,1,24,1,10,1,9,1,24,1,8,1,24,2,12,1,17,2,12,2,17,17,16,1,5,55,28,11,8,1,9,1,17,3,9,2,6,1,7,1,28,1,6,3,13,1,8,1,24,1,10,1,12,1,10,1,13,1,30,1,28,5,8,1,14,1,13,1,28,1,6,1,30,1,6,1,29,1,28,27,}, {29,1,28,1,30,1,28,1,30,1,28,12,30,1,28,1,30,1,28,2,13,1,6,1,28,4,30,1,28,3,6,1,28,2,13,3,9,1,8,1,10,1,17,3,13,2,6,2,13,1,28,1,16,1,17,2,11,1,9,1,17,1,11,1,9,1,11,1,16,1,8,1,24,1,13,1,9,1,16,1,9,2,13,1,6,1,8,1,13,1,6,1,7,1,12,1,15,1,8,1,9,2,8,2,24,1,9,1,11,1,17,2,9,1,13,2,8,1,13,1,8,1,6,1,28,25,30,1,6,1,24,2,10,1,11,1,17,1,12,1,6,2,30,3,28,1,7,2,9,2,10,1,9,2,8,1,6,1,8,1,30,3,6,1,13,1,7,1,13,1,9,1,14,1,9,1,14,1,6,1,28,10,6,1,29,1,28,1,30,1,6,1,13,1,9,1,13,9,6,1,9,1,30,1,13,2,29,2,6,1,30,2,28,13,30,2,28,1,29,1,28,13,13,1,28,2,30,1,28,2,30,3,6,2,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,12,30,1,28,13,6,1,28,4,30,1,28,1,30,1,28,5,30,1,6,1,30,1,29,1,30,1,6,1,13,2,28,1,29,1,28,1,6,2,30,1,28,1,30,2,28,1,30,1,6,2,29,1,6,2,13,1,8,1,6,1,13,2,7,1,13,1,30,1,13,2,9,3,13,1,16,1,9,5,17,2,11,1,17,6,11,1,17,21,9,2,13,1,6,1,28,1,6,1,28,5,30,1,28,2,29,2,30,1,29,1,6,1,30,1,7,1,6,1,13,1,28,1,29,1,28,40,30,2,29,1,30,2,7,1,6,1,8,1,25,1,13,1,24,2,12,1,24,1,10,1,24,5,8,1,10,1,8,1,7,2,9,1,28,19,8,1,9,1,16,1,5,1,33,113,5,202,33,1,13,2,30,1,28,4,8,1,16,1,28,29,30,2,29,1,6,1,28,1,6,1,7,1,6,1,8,1,6,1,13,3,24,1,8,1,24,3,8,2,24,2,8,1,24,2,8,1,7,1,24,2,8,1,24,1,9,1,8,1,10,1,8,1,24,1,8,1,24,3,10,1,24,1,12,1,9,1,24,1,12,1,9,1,24,1,11,1,10,1,12,1,8,1,6,1,28,33,30,1,28,1,9,1,24,1,9,1,8,1,9,1,8,1,9,1,13,2,8,1,24,1,8,1,6,1,28,3,30,1,29,1,8,1,9,1,29,1,30,1,28,7,30,1,28,1,30,1,13,1,6,1,28,22,30,1,13,1,10,1,24,1,9,1,16,2,5,73,28,2,13,1,9,1,6,1,29,1,30,1,28,50,30,1,29,1,6,1,30,1,6,1,28,1,30,1,29,1,8,1,9,2,13,1,7,1,30,1,6,2,28,1,6,1,29,2,30,1,6,1,7,1,30,1,7,2,6,3,7,1,6,1,13,4,29,1,13,1,7,1,6,2,29,1,30,1,7,1,28,1,30,1,28,98,30,2,28,1,6,2,30,1,7,1,13,3,8,1,13,1,9,1,17,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,24,1,8,1,24,1,9,1,8,1,10,1,9,3,11,1,17,1,12,1,16,1,11,1,17,1,12,1,17,2,11,1,12,1,11,1,12,1,17,1,10,1,12,1,17,1,11,1,9,2,16,1,8,2,12,1,17,1,9,2,11,2,10,1,9,1,17,3,12,1,17,1,11,1,17,19,12,1,17,9,16,1,17,2,16,1,17,3,16,1,17,24,8,1,7,1,6,1,29,1,28,1,6,1,30,1,28,8,30,1,28,1,29,3,6,1,29,1,28,1,6,3,8,1,25,3,24,1,27,1,25,1,6,1,26,1,24,1,29,1,25,1,30,1,8,1,27,1,26,1,25,1,26,2,27,1,28,1,29,2,27,1,30,1,29,1,28,1,30,1,28,2,29,1,27,2,29,1,30,1,27,1,30,1,29,1,30,1,29,3,27,1,29,1,28,1,30,1,28,3,29,1,28,5,30,1,28,1,30,1,28,7,30,1,28,9,30,1,28,1,30,1,29,1,28,2,7,1,29,1,28,1,30,2,28,1,29,1,28,4,29,1,28,2,29,2,6,1,13,1,9,1,8,1,9,1,28,84,30,1,28,1,29,1,28,4,6,1,28,1,30,1,28,2,6,1,29,1,28,15,30,1,28,2,30,4,6,1,30,1,13,2,9,1,13,2,6,1,13,1,29,1,13,2,7,1,13,1,9,1,13,1,8,1,13,1,8,3,9,2,8,1,9,1,6,2,28,36,30,1,28,2,6,1,28,2,30,1,28,1,30,1,29,2,6,1,30,2,7,1,6,1,13,1,6,1,30,2,28,1,30,1,28,1,6,1,7,1,30,1,13,1,6,1,13,1,6,1,13,1,8,1,13,2,6,1,7,1,6,2,10,1,9,1,13,1,6,1,7,1,13,3,6,1,30,1,29,1,13,1,7,1,13,2,6,1,9,1,13,1,8,1,13,1,7,1,13,1,10,1,8,3,13,2,10,1,8,1,10,1,13,2,7,1,6,1,7,2,30,2,28,43,6,1,28,2,13,1,28,2,7,1,28,2,13,1,28,6,6,1,30,1,28,2,6,1,30,1,28,1,30,4,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,6,1,29,1,6,1,28,1,30,1,28,1,6,1,30,1,29,1,13,1,30,2,7,2,6,1,7,2,13,1,7,1,13,2,7,1,8,1,13,1,8,2,9,1,13,1,30,1,28,6,13,1,24,3,8,1,7,1,8,1,13,1,6,4,8,1,7,1,13,1,7,1,28,2,30,1,28,21,30,1,29,1,6,1,7,1,13,1,24,2,8,1,24,1,10,1,24,1,9,1,12,3,11,1,10,1,11,1,17,1,9,1,12,1,17,2,12,2,10,1,13,1,8,1,6,1,25,2,6,2,7,1,30,1,7,1,6,1,28,1,29,1,28,2,30,1,29,1,28,6,30,1,28,3,30,1,28,1,30,1,28,2,29,2,30,3,29,1,30,1,28,23,30,1,29,1,28,1,29,1,6,2,28,1,7,1,28,1,30,2,29,1,30,1,27,1,29,2,25,1,24,1,8,1,24,3,29,1,28,1,29,1,6,2,28,2,30,1,28,38,30,2,29,1,25,2,8,1,24,1,10,1,12,1,17,1,9,1,10,1,24,1,17,1,9,1,11,1,17,13,11,1,17,7,11,1,12,1,11,1,17,3,11,1,17,1,12,1,11,1,17,1,12,1,17,9,11,1,17,5,12,1,17,1,11,1,17,1,10,1,11,1,12,1,17,1,11,1,10,1,12,1,11,1,17,1,12,1,11,2,9,1,17,2,11,1,12,1,11,1,12,1,10,1,11,1,12,2,10,1,12,1,11,1,12,1,11,2,17,1,11,3,9,1,11,2,10,1,11,1,10,1,9,1,11,1,12,1,9,3,10,1,9,2,10,1,24,1,10,1,12,1,24,1,10,1,9,1,17,1,11,1,9,1,11,1,24,1,9,1,8,1,11,1,10,2,13,2,9,1,13,1,9,2,10,1,8,1,11,1,24,1,13,1,8,1,9,2,12,1,24,1,9,1,8,1,10,2,11,1,24,4,9,1,13,1,8,1,13,1,24,1,13,1,24,2,10,1,9,1,24,1,10,1,9,1,8,1,24,1,12,2,24,1,17,1,12,1,17,21,16,1,5,56,28,7,30,1,6,1,28,2,13,1,17,4,12,1,8,1,6,2,29,1,30,1,6,1,28,1,8,2,24,3,9,1,10,1,6,1,28,4,30,1,12,2,13,1,29,1,28,1,30,1,6,1,28,27,30,1,}, {30,1,28,1,13,1,29,1,28,10,29,1,28,4,29,1,28,3,30,1,28,1,30,1,28,5,29,1,28,3,7,2,13,1,11,1,7,1,10,1,12,1,17,2,8,2,13,1,30,1,6,1,13,1,10,1,17,1,16,1,17,1,9,1,17,1,12,2,9,1,13,2,9,1,13,2,14,1,9,1,8,1,13,1,6,2,13,1,6,1,13,1,11,1,17,1,10,1,16,1,13,1,8,2,13,1,8,1,17,1,16,2,8,2,13,2,7,1,8,1,28,4,30,1,28,6,30,1,28,13,29,1,6,2,13,1,24,1,10,1,9,1,17,1,9,1,13,1,6,1,28,4,29,1,8,1,24,1,17,1,10,1,8,1,24,1,8,1,24,1,13,1,6,2,29,1,6,1,13,1,7,1,8,2,15,1,14,1,9,1,6,1,30,1,28,3,30,1,28,9,9,1,8,1,9,1,28,1,6,1,13,3,6,1,30,1,6,1,13,1,6,2,30,1,6,3,29,1,30,1,28,1,30,1,13,1,28,1,6,2,28,8,30,1,28,3,30,1,28,15,6,1,28,4,30,2,28,3,29,1,28,2,30,1,28,4,30,1,29,1,6,1,28,33,30,2,28,1,6,1,30,1,28,1,30,2,28,5,30,1,6,2,29,1,30,1,6,1,29,1,28,2,6,2,30,1,28,1,6,1,30,1,28,2,13,1,30,1,6,1,9,1,6,1,13,1,6,1,13,2,8,1,13,1,10,1,13,1,9,1,10,1,8,1,10,1,9,1,13,1,11,1,17,9,16,1,11,1,17,19,11,1,24,1,13,1,7,1,28,1,30,1,28,1,30,1,28,7,30,1,28,6,6,1,7,1,29,1,28,37,30,1,28,1,30,1,28,3,30,1,25,1,30,1,28,1,8,3,24,1,7,1,24,1,10,1,24,1,8,1,24,4,12,1,8,4,24,2,28,19,30,2,16,1,13,1,5,1,33,112,5,197,33,1,13,1,28,5,30,1,13,1,6,1,8,1,13,1,6,1,28,26,29,1,28,3,30,1,28,3,7,1,6,1,29,2,7,1,6,1,7,1,6,1,13,1,6,1,24,1,8,1,24,1,13,1,24,1,8,1,24,1,10,1,8,2,24,1,8,2,13,1,8,1,24,1,13,1,10,1,24,2,8,1,10,1,24,1,10,1,8,1,24,1,8,1,24,1,8,1,24,1,13,1,24,3,12,1,8,1,10,1,17,1,13,1,8,1,28,35,8,1,24,1,9,2,10,1,9,2,8,1,10,2,12,1,30,1,28,4,8,1,9,2,11,1,28,12,24,1,10,1,28,22,30,1,6,1,8,1,9,1,13,1,11,1,17,1,16,1,5,44,33,4,13,3,33,1,28,2,6,1,5,2,13,1,28,2,13,1,5,4,33,1,13,1,33,1,5,2,6,1,28,57,29,1,7,1,6,1,13,2,7,1,13,1,8,1,24,2,9,1,24,2,7,1,6,2,30,2,28,1,30,1,28,1,6,2,29,1,13,1,8,1,13,1,6,1,13,1,6,2,13,3,29,1,6,1,29,1,13,1,29,1,6,1,29,1,6,1,30,2,28,47,6,1,30,1,28,48,30,1,28,1,30,2,28,1,13,1,6,1,24,1,6,1,13,1,6,1,8,1,13,3,9,1,8,1,9,4,24,1,11,1,10,1,24,1,9,1,8,2,9,1,24,1,10,1,17,1,9,1,12,1,10,1,17,1,10,1,17,1,11,1,17,1,16,1,12,2,11,2,17,1,10,1,17,2,10,2,13,1,10,1,16,1,13,1,11,1,16,1,11,3,9,1,10,1,17,1,11,1,12,1,17,1,12,1,17,1,12,1,17,2,11,1,17,11,11,1,17,5,11,1,17,10,16,2,17,29,8,1,13,1,7,1,13,1,30,1,29,2,27,1,28,1,29,1,28,2,30,1,28,2,29,1,28,1,6,1,29,1,6,1,29,2,25,1,6,1,30,1,7,1,6,1,29,1,25,2,8,1,29,1,25,2,26,1,8,1,25,1,8,1,27,1,25,1,27,2,26,1,25,1,26,1,27,1,25,1,30,1,27,1,29,1,26,1,29,1,30,1,25,1,27,1,30,1,29,1,30,1,28,2,30,1,27,1,29,1,28,1,27,1,29,1,27,1,30,2,28,1,30,1,26,1,28,4,29,1,28,20,30,1,28,6,30,1,29,1,28,1,30,1,28,2,30,3,28,1,29,1,30,1,28,3,30,1,28,1,29,1,28,1,6,4,8,1,13,1,28,88,30,1,28,1,30,1,28,2,30,1,6,1,30,1,29,1,6,2,28,18,30,1,29,1,13,5,10,1,13,1,6,1,7,1,13,1,7,1,6,1,13,1,9,1,8,1,13,1,9,1,13,1,8,3,11,1,13,3,30,1,28,41,7,1,28,1,6,1,30,1,29,1,30,3,6,1,28,1,6,1,30,1,29,1,30,1,13,1,30,1,28,1,30,1,28,1,30,3,13,1,6,2,13,1,7,1,6,1,29,1,6,1,30,1,6,1,7,1,6,1,9,1,28,1,9,1,13,1,11,1,13,1,6,1,8,1,13,1,6,1,7,1,6,3,13,1,7,1,13,1,7,2,8,3,7,1,13,1,10,1,9,1,11,1,13,3,9,1,13,3,28,2,6,1,28,1,30,1,28,41,30,2,28,3,30,1,28,1,30,1,28,5,6,1,30,1,28,2,30,2,6,2,29,1,28,1,6,2,30,1,28,2,6,1,28,1,30,2,13,1,29,1,30,1,28,1,30,1,6,1,28,2,29,1,30,1,28,2,30,1,28,2,6,1,28,1,7,1,30,1,28,1,6,1,30,1,7,1,6,1,13,1,6,2,13,1,7,1,13,1,6,1,9,1,8,1,13,1,9,3,13,2,28,5,13,1,24,2,13,1,24,2,8,1,13,1,8,1,13,1,24,1,8,1,13,2,7,2,6,1,28,22,29,2,6,1,25,1,8,1,24,1,8,1,24,1,9,2,11,1,10,2,24,1,12,2,11,1,12,1,17,1,11,1,12,1,11,1,17,2,12,2,24,1,7,2,13,1,25,1,6,1,25,1,6,1,25,1,7,1,28,1,25,1,30,2,29,2,30,1,28,4,30,1,28,1,30,1,28,3,7,1,29,1,28,1,30,1,28,3,30,1,6,1,28,1,30,1,29,1,28,23,29,1,28,2,30,2,28,3,29,1,28,1,6,1,30,1,29,1,30,2,26,1,25,2,24,5,25,1,8,1,6,1,28,1,7,1,30,1,28,32,30,1,28,5,30,1,28,1,29,1,30,1,27,2,8,1,24,3,12,2,9,1,17,3,9,1,11,1,17,2,11,1,17,11,12,1,17,11,12,2,17,2,12,1,11,1,17,6,12,1,17,2,12,1,11,1,12,2,17,1,12,1,17,2,11,1,17,3,11,1,17,1,12,1,11,1,17,1,11,1,10,1,9,1,11,3,17,2,12,1,11,2,17,1,11,1,10,1,17,1,11,1,12,2,10,1,9,1,17,1,11,1,13,1,9,1,10,1,11,3,9,1,11,2,8,1,12,1,10,1,9,3,10,1,11,2,9,1,17,1,10,1,9,1,10,1,9,1,8,1,9,1,24,1,9,2,10,1,8,1,9,1,24,1,10,2,24,1,10,1,24,1,8,1,10,1,8,1,13,1,8,1,9,1,24,2,9,2,24,3,9,1,11,1,8,1,24,3,9,1,8,2,24,2,8,1,24,1,10,1,9,1,24,1,10,1,24,1,10,2,11,1,9,1,10,1,11,1,10,2,11,1,17,23,16,1,5,58,30,1,28,6,30,3,28,1,6,1,17,4,10,2,24,1,6,2,30,1,7,1,6,1,13,1,24,2,8,1,24,1,10,1,8,1,30,1,28,5,9,1,11,1,24,1,6,1,28,1,29,1,28,28,30,1,}, {28,4,30,1,28,5,6,1,30,1,28,11,30,1,28,7,30,1,29,1,28,2,13,1,6,1,13,1,24,1,8,1,12,2,17,2,8,1,13,1,6,2,30,1,13,1,11,1,17,3,12,1,11,1,10,1,12,1,24,1,9,1,8,1,6,1,8,1,13,1,12,2,8,1,6,1,8,1,13,1,8,1,29,1,8,1,24,2,9,3,6,1,9,1,8,1,9,1,11,1,17,2,8,2,6,1,13,1,8,1,9,1,6,1,28,2,29,1,30,1,28,21,13,1,6,1,8,2,9,1,24,1,17,1,9,2,28,4,30,2,8,1,10,1,9,1,12,1,10,1,9,2,7,1,8,1,6,3,13,1,29,1,8,1,24,1,8,1,24,2,9,1,30,1,28,10,30,1,28,2,29,1,11,1,13,1,6,2,13,2,6,1,13,2,30,1,13,1,6,1,13,1,30,1,6,1,28,1,30,3,6,1,29,1,28,1,13,1,28,7,30,2,28,1,6,1,28,1,6,1,28,1,30,2,28,1,30,1,28,14,30,1,28,4,30,1,6,1,28,2,30,1,28,37,30,1,28,1,30,1,28,4,29,1,30,1,6,2,29,1,30,1,6,2,29,1,6,1,29,1,6,1,30,1,28,1,6,2,28,1,29,1,30,5,13,1,30,1,28,1,30,1,28,4,13,1,28,1,30,1,6,1,13,1,29,1,13,1,6,2,8,1,6,1,13,1,9,2,8,1,13,1,8,1,16,1,17,2,16,1,17,5,16,1,8,1,9,1,17,19,24,1,8,1,7,1,30,2,28,15,30,1,28,2,30,1,29,1,28,41,30,1,28,4,7,2,8,1,6,1,8,1,24,1,8,1,10,1,24,1,13,1,24,1,8,1,24,3,13,1,7,2,6,2,9,1,28,7,29,1,6,2,28,1,29,2,28,5,30,2,8,1,17,1,16,1,33,114,5,187,33,3,5,1,28,8,11,1,13,1,30,1,28,33,30,2,28,1,29,1,30,3,6,1,30,1,28,1,29,2,7,1,13,1,8,6,24,1,9,1,24,2,10,1,13,1,24,1,8,2,13,1,8,2,24,1,10,2,8,1,10,1,9,1,24,1,12,1,8,2,24,1,9,1,8,2,24,1,8,2,24,1,9,1,12,2,10,2,17,2,13,1,28,2,30,1,28,32,13,1,9,1,10,1,9,1,11,1,12,1,8,1,24,1,8,1,24,1,28,4,13,1,9,1,17,2,12,1,17,1,6,1,28,9,13,2,11,1,17,2,9,1,30,1,28,20,30,1,6,1,8,1,7,1,9,1,17,2,5,43,33,1,28,7,30,1,11,2,9,1,13,5,9,1,7,1,13,2,6,1,30,1,6,2,13,1,11,1,6,1,28,57,29,1,6,1,8,1,13,1,11,1,8,1,9,2,17,1,12,1,9,2,8,1,13,1,6,3,30,1,29,1,6,1,30,1,7,2,24,1,6,2,30,1,6,1,13,1,7,1,30,1,29,1,28,2,30,1,13,1,7,1,29,1,7,1,30,1,29,1,28,49,6,1,29,1,28,52,29,1,28,1,30,1,7,1,30,1,28,1,13,1,8,2,13,1,8,1,24,1,9,1,11,2,10,1,9,2,10,2,8,1,12,2,9,1,8,1,10,1,9,1,10,3,17,1,11,1,17,1,16,1,17,1,12,3,17,1,10,1,11,1,12,1,9,1,16,1,10,1,11,5,9,3,11,2,17,1,11,1,9,2,12,1,17,1,12,1,11,2,17,2,12,1,17,6,12,1,16,1,11,1,17,22,16,2,17,24,12,1,17,3,8,1,7,3,30,2,28,1,29,1,30,1,28,1,29,1,30,1,28,1,29,1,30,2,29,1,6,1,28,1,6,1,30,1,7,1,29,3,8,1,29,1,6,1,25,2,8,1,25,3,6,1,29,1,25,1,29,1,30,1,27,1,29,1,25,1,27,1,30,1,29,2,25,1,29,1,30,1,25,1,27,1,30,3,28,1,26,1,29,1,28,1,26,1,30,1,27,1,30,1,25,1,28,1,30,2,28,1,30,1,29,1,28,9,30,2,28,24,7,1,30,1,28,2,30,1,28,4,29,1,30,1,28,2,6,1,30,1,28,4,30,1,28,2,29,1,13,1,6,1,7,1,28,91,6,1,29,2,30,1,28,15,30,1,28,3,30,1,13,2,7,1,29,1,6,1,13,1,8,1,13,2,8,1,6,2,13,3,7,1,8,1,9,1,13,1,7,1,9,1,13,1,9,1,13,1,9,1,8,2,6,1,28,43,30,2,6,1,28,2,6,1,30,3,29,1,30,1,6,3,7,1,30,3,28,1,7,1,29,1,30,1,7,2,6,2,7,1,6,2,30,2,7,1,6,1,9,2,13,1,6,1,8,1,6,1,13,1,6,1,7,1,13,2,6,3,7,1,30,1,13,3,7,1,13,2,7,1,8,1,9,1,13,1,9,2,10,1,13,1,8,2,13,2,6,2,29,1,6,1,28,51,30,1,28,4,6,1,28,2,30,1,28,2,6,1,30,1,6,3,30,1,6,2,28,1,30,1,6,1,30,1,29,1,30,1,28,2,30,3,29,1,28,1,30,1,6,1,29,1,28,1,30,2,6,1,30,1,28,2,6,1,7,1,6,1,7,1,13,1,6,1,30,1,13,1,30,1,6,1,13,4,7,1,8,2,13,1,8,1,9,2,29,1,28,3,8,1,9,1,12,1,13,1,24,1,10,1,8,1,13,5,7,1,8,1,13,1,29,1,28,23,30,2,28,1,6,1,7,1,13,1,24,3,9,1,24,1,10,2,9,1,12,1,9,1,10,1,11,1,17,1,10,1,11,1,17,1,10,1,17,1,10,1,11,1,9,1,8,2,24,1,25,1,30,1,29,1,6,1,7,3,29,1,6,3,28,4,27,1,28,5,30,1,28,2,29,1,28,3,29,1,30,1,29,1,28,1,29,1,27,1,25,1,29,1,28,21,29,1,28,1,29,2,30,1,29,1,30,1,29,1,7,1,6,1,29,1,6,1,7,1,8,3,24,1,8,1,24,3,17,1,24,1,12,1,25,2,24,1,29,2,28,39,29,1,28,1,27,3,25,1,29,1,26,1,8,1,24,1,8,1,24,2,10,2,12,3,17,14,11,1,17,9,11,1,17,3,11,1,17,1,11,1,17,3,11,1,17,1,12,1,17,1,12,4,11,1,17,4,11,1,17,1,11,1,17,2,11,1,17,1,11,1,17,1,11,3,9,1,17,2,11,2,17,1,10,1,17,1,11,3,12,1,10,1,17,1,10,1,11,1,12,1,11,1,10,1,11,1,12,3,9,2,11,1,8,1,9,1,10,2,11,1,12,1,9,1,10,1,11,3,9,1,12,1,9,2,11,2,10,1,9,1,11,1,10,1,9,1,10,2,8,1,10,1,8,1,10,1,24,1,9,2,13,1,8,1,24,1,9,1,8,1,24,1,9,1,24,1,10,1,24,1,9,1,10,2,9,2,10,1,8,1,10,1,8,5,24,2,13,1,8,2,9,1,10,1,8,2,24,3,12,1,10,3,17,12,12,1,17,11,16,1,5,60,28,9,30,2,9,1,17,4,12,1,8,1,7,2,28,1,13,2,6,1,8,1,13,2,8,1,24,1,10,1,9,1,29,1,28,5,8,1,9,1,8,1,29,2,30,1,6,2,28,27,}, {28,2,6,1,28,8,30,1,28,3,30,1,28,3,30,1,29,1,6,1,28,1,30,1,28,3,29,1,28,5,30,1,28,1,13,1,7,1,9,3,10,1,17,3,8,1,6,1,13,2,28,1,13,1,17,3,10,1,12,1,17,1,9,1,10,1,8,1,9,1,7,1,9,1,13,1,24,1,14,1,9,1,24,1,13,2,8,1,7,1,6,2,17,1,12,1,9,1,11,1,9,1,8,2,9,2,10,1,11,1,17,1,9,1,7,1,13,1,6,1,8,1,13,1,6,1,28,1,6,1,7,1,28,22,6,1,8,1,9,1,8,1,13,1,24,1,9,1,11,1,24,1,6,1,29,1,28,1,6,2,28,1,8,1,12,2,10,1,24,1,13,1,24,1,13,1,8,1,30,1,6,1,30,1,6,1,28,1,8,1,13,1,24,1,9,1,15,2,29,1,28,3,30,1,28,7,29,1,28,1,30,1,9,1,6,1,30,1,13,2,6,1,9,1,13,1,6,1,28,1,13,1,29,1,6,1,30,1,28,2,30,1,6,1,13,1,30,1,13,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,29,1,28,1,6,1,7,1,6,2,28,1,6,1,13,1,28,1,6,1,28,2,30,1,28,4,30,1,28,1,30,1,28,11,30,1,29,2,28,44,30,1,28,1,30,1,28,2,6,3,28,1,29,1,6,1,28,4,29,1,30,1,29,1,30,1,28,1,6,1,28,1,6,1,29,1,6,1,13,1,30,1,13,2,6,1,30,1,28,2,13,1,30,1,29,1,6,1,29,1,13,1,8,1,6,1,8,1,13,1,7,1,15,1,14,1,6,1,8,1,13,1,9,1,14,1,17,9,8,1,17,18,9,1,24,1,13,1,6,2,28,18,30,1,28,1,29,1,30,1,28,39,30,1,28,3,6,2,28,1,29,1,25,1,8,1,7,1,13,1,8,1,24,2,8,1,24,1,7,1,24,1,13,2,7,1,13,1,29,1,6,1,13,2,28,3,30,1,6,1,8,1,12,1,9,1,12,3,17,1,13,1,8,1,13,1,6,1,28,1,29,1,28,1,30,1,13,1,9,1,17,1,5,1,33,114,5,183,16,1,11,2,13,1,11,1,9,1,16,1,8,1,13,1,28,1,30,1,13,1,30,1,28,46,30,1,29,1,6,1,29,1,6,1,7,1,6,1,24,1,8,1,7,1,12,1,13,1,24,1,13,1,24,1,10,1,24,2,13,3,8,1,9,1,10,1,8,1,10,1,24,1,17,1,6,1,10,1,24,1,10,1,8,2,24,1,13,1,24,1,7,1,24,1,8,2,9,1,12,1,9,1,10,1,17,1,12,1,17,1,11,1,9,1,28,35,30,1,8,2,9,2,8,1,9,2,29,1,13,1,6,1,29,1,13,1,8,1,11,1,17,1,16,1,11,1,17,1,12,1,17,4,9,1,29,1,28,3,9,1,17,1,9,1,17,6,13,1,30,1,28,18,7,1,9,1,8,1,13,1,9,1,16,1,17,1,5,42,28,2,30,2,6,1,28,18,30,1,6,1,28,30,30,1,28,29,30,1,6,1,13,1,24,1,9,1,11,1,8,1,12,1,8,1,9,1,10,1,9,1,11,1,13,2,6,1,30,1,6,1,13,1,6,1,13,2,7,1,8,1,13,1,7,1,13,1,7,1,30,3,28,2,29,1,28,2,30,1,29,1,28,1,30,1,28,49,30,1,6,1,28,50,30,3,6,1,30,1,8,1,30,1,24,1,13,4,8,1,9,1,12,1,8,1,12,1,8,1,9,1,11,1,9,2,17,1,11,1,24,1,9,1,24,3,17,1,9,3,11,1,12,1,9,1,10,1,11,1,12,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,9,1,11,1,10,1,11,1,9,1,11,1,17,2,11,1,9,1,11,3,10,1,11,1,12,1,11,1,12,1,17,2,12,1,17,1,11,1,17,2,11,1,17,1,12,1,17,26,16,1,17,29,12,1,10,1,9,1,6,3,29,1,27,1,29,1,28,1,27,1,29,1,28,1,30,1,28,1,29,1,30,2,29,1,30,1,29,1,30,2,7,2,28,1,29,1,7,1,8,1,6,1,24,1,8,1,6,2,26,2,6,1,30,1,6,1,29,1,25,1,29,1,27,1,30,1,27,1,26,2,27,1,29,2,25,1,27,1,28,1,29,1,30,1,6,1,30,1,28,1,30,2,29,1,30,1,27,1,28,1,29,1,27,1,30,1,28,2,26,1,30,1,28,1,30,1,28,7,30,1,28,3,30,1,28,20,6,1,28,10,30,1,28,4,30,1,28,4,29,1,28,1,30,1,6,3,28,89,30,2,6,1,30,1,28,1,29,2,7,1,28,14,6,1,30,1,28,1,30,1,13,1,7,1,13,3,7,1,13,5,8,1,7,1,9,2,12,1,9,1,8,1,13,2,9,2,13,1,8,1,13,2,28,48,30,1,28,1,30,1,28,1,7,1,6,1,30,1,6,1,29,1,30,1,28,2,6,1,30,1,6,1,30,2,13,1,30,1,28,1,6,1,13,1,30,2,29,1,6,1,29,1,7,1,13,5,7,1,13,2,29,1,6,1,13,1,6,2,13,2,7,1,6,2,13,1,30,1,13,1,6,1,13,1,6,1,10,1,13,1,8,2,13,1,8,1,13,1,10,1,13,2,8,1,6,1,30,2,28,44,30,1,28,3,30,2,28,3,30,1,28,2,30,2,28,4,29,1,28,3,30,1,28,4,29,1,30,2,28,3,30,1,6,1,30,2,28,1,30,1,6,1,28,1,30,2,28,1,6,1,30,1,6,2,7,1,6,1,30,2,28,2,6,1,30,1,7,1,6,2,28,1,6,1,30,1,7,1,6,1,13,3,8,3,13,1,8,1,13,1,30,1,28,1,29,1,9,1,10,1,13,1,9,1,10,1,8,2,9,1,13,1,8,1,7,1,6,1,7,1,6,1,30,2,28,23,27,1,30,1,8,3,24,1,8,1,9,1,10,1,24,1,12,1,9,1,12,2,10,2,9,1,11,1,9,1,17,2,12,1,17,1,12,1,10,1,9,1,8,1,13,2,8,1,6,1,25,1,6,1,29,2,25,1,29,1,25,1,29,1,6,1,30,1,28,1,7,1,29,1,28,7,30,1,28,2,29,1,30,1,29,1,28,1,25,1,30,1,29,1,27,1,30,1,27,1,30,1,28,21,30,1,29,1,30,1,28,1,29,1,28,2,29,2,7,2,30,1,8,2,7,1,24,1,8,1,24,1,8,2,24,1,12,1,24,1,8,1,26,1,30,1,6,1,30,1,28,38,30,1,28,1,29,1,28,3,29,1,25,1,8,1,26,1,24,1,8,1,24,1,12,2,9,1,12,1,17,1,9,1,17,12,11,1,17,6,12,1,17,2,11,1,17,1,12,3,17,1,11,1,17,4,12,1,17,3,11,1,17,2,10,1,11,1,17,1,11,1,17,1,11,1,12,1,11,1,12,1,17,1,11,1,17,4,12,1,11,1,10,1,11,1,17,1,10,1,17,1,10,1,11,3,17,1,11,2,12,1,10,1,12,1,11,2,10,1,11,1,10,1,12,1,10,1,11,1,10,1,11,1,10,2,9,1,11,1,9,1,10,1,12,2,9,2,11,1,9,1,10,1,13,1,9,2,24,1,9,2,10,1,9,1,10,2,9,1,24,1,10,1,8,3,24,1,10,1,24,2,13,1,24,4,8,1,24,1,8,2,12,1,9,1,24,1,9,2,10,1,9,1,24,1,9,1,24,1,10,2,8,1,13,1,24,1,8,1,24,1,8,2,10,1,8,2,24,1,10,1,24,1,12,1,10,1,12,1,17,27,5,62,28,9,30,1,6,1,13,1,17,3,12,1,24,1,7,1,13,1,29,2,6,1,7,1,30,1,8,1,24,2,13,1,24,1,10,1,24,1,30,1,28,5,8,1,17,1,8,1,6,2,30,2,28,28,}, {28,3,30,1,6,1,28,9,30,1,28,1,29,1,30,1,28,3,6,1,28,2,30,1,6,1,28,7,6,1,30,1,7,1,13,1,9,1,11,1,9,1,24,1,17,3,9,1,13,1,6,1,30,1,29,1,7,1,12,1,16,1,17,3,11,1,16,1,11,1,9,1,8,1,13,4,12,1,15,1,8,1,13,1,30,1,8,1,6,1,7,1,13,1,10,4,8,1,7,1,8,1,10,1,9,1,16,1,17,1,11,1,9,1,8,4,9,1,13,1,7,1,28,2,30,1,28,20,30,1,29,1,13,1,8,2,13,2,24,1,12,1,8,1,13,1,6,1,7,1,29,2,6,1,8,1,12,1,10,1,24,1,10,1,8,1,9,1,13,1,9,1,8,1,6,1,30,1,13,1,6,1,13,2,8,1,10,1,9,1,15,1,6,1,30,1,28,10,30,1,28,1,30,1,13,2,28,1,6,1,28,7,30,1,28,2,6,4,30,1,6,3,30,1,13,1,6,1,13,1,8,1,6,1,29,1,6,1,28,1,6,1,30,1,6,2,28,4,30,1,28,2,30,1,28,3,29,1,28,1,30,1,28,4,30,1,28,8,30,1,6,1,28,2,30,1,28,33,30,1,28,1,30,3,28,3,30,1,28,2,30,2,28,1,29,1,30,1,13,1,28,1,30,3,7,1,29,1,6,1,28,1,6,1,28,1,6,1,30,2,6,1,28,1,13,1,30,1,6,1,28,2,30,1,28,3,29,1,28,1,6,2,13,1,28,2,6,2,29,1,6,1,11,1,9,1,8,2,9,2,17,9,16,1,7,1,10,1,12,1,17,16,11,1,7,1,6,1,28,23,30,1,28,40,30,1,28,2,29,3,6,1,8,1,29,1,13,1,8,1,7,2,8,2,6,3,8,1,29,1,6,2,7,1,13,1,8,1,24,1,6,1,28,1,13,1,8,1,10,1,12,1,17,1,10,1,17,4,9,1,12,2,13,2,30,1,28,2,13,1,17,2,16,1,33,115,5,174,13,1,6,1,11,1,17,1,16,1,11,1,6,1,30,1,28,13,30,1,28,38,30,1,28,2,30,1,28,1,29,1,30,4,6,3,13,1,8,1,13,1,24,1,13,1,8,1,24,2,9,1,7,1,13,2,8,1,13,1,8,2,10,1,8,1,10,1,11,1,9,2,13,1,12,2,8,1,24,2,13,1,8,1,24,1,8,1,13,1,24,1,12,1,9,1,11,1,12,1,17,1,12,1,17,3,29,1,28,7,30,1,28,27,30,1,13,1,24,2,9,1,17,1,8,1,11,1,13,2,9,3,12,1,16,1,11,2,12,1,17,12,16,1,17,10,9,1,6,1,13,2,30,1,28,3,6,1,30,1,28,2,30,1,28,4,13,1,28,1,7,1,6,1,7,1,9,1,11,1,17,1,5,39,9,1,13,1,28,54,30,1,28,29,30,1,6,1,13,1,6,1,13,1,12,1,11,1,12,1,10,2,17,1,10,2,13,1,9,1,13,3,6,1,13,2,7,1,13,1,7,1,6,1,8,1,6,3,29,1,30,2,28,1,30,1,28,1,30,1,28,3,30,1,28,38,30,1,29,1,28,1,30,2,28,4,30,1,28,1,30,1,6,1,30,1,28,46,6,1,28,2,6,1,29,1,6,1,30,1,6,2,13,1,29,1,8,1,13,1,8,1,13,1,9,2,24,1,11,1,10,1,9,1,17,1,11,1,9,2,10,1,12,1,8,1,12,1,9,5,10,1,11,1,12,2,17,1,16,1,17,2,9,1,17,2,11,1,9,1,12,1,9,1,8,1,11,1,17,1,9,1,17,1,10,1,17,2,11,2,9,1,12,1,9,2,11,1,17,4,11,1,17,1,11,1,9,1,17,2,11,1,12,1,11,1,17,12,11,1,17,3,16,1,17,41,9,1,8,1,13,3,6,1,29,1,6,1,27,1,29,1,30,4,29,1,6,3,30,2,29,1,6,2,8,1,28,1,8,1,29,1,30,1,6,3,25,2,26,1,29,1,25,1,30,1,27,1,26,2,29,1,27,1,26,1,29,1,27,1,6,1,28,1,29,1,25,1,29,3,6,1,29,1,28,1,30,1,29,1,27,1,28,1,8,1,30,1,27,1,30,1,29,1,27,1,30,1,28,1,27,1,28,16,30,1,28,33,29,1,28,8,30,2,6,1,30,2,28,88,30,1,28,2,6,2,28,2,6,1,30,1,28,8,30,1,28,1,30,2,6,2,13,1,6,3,7,1,29,1,13,2,6,1,13,2,7,1,13,1,7,1,8,1,13,1,10,1,13,1,11,1,13,1,8,1,9,1,13,1,9,2,13,1,8,1,7,1,13,1,28,48,30,1,28,2,29,1,6,1,28,1,30,1,29,1,6,1,29,1,6,1,28,1,30,1,6,1,7,1,30,2,28,1,30,1,6,1,28,1,13,1,6,3,30,1,6,1,13,3,9,1,7,1,13,4,6,1,9,1,30,1,6,1,13,1,30,1,29,1,30,1,13,1,7,3,13,1,29,1,7,1,13,1,8,1,13,2,9,1,8,1,13,1,24,2,13,1,8,1,13,1,6,2,28,1,30,1,6,1,28,55,6,1,28,6,30,2,6,1,30,1,6,1,28,2,30,1,6,1,28,5,30,2,29,1,30,1,28,2,6,1,28,4,6,1,30,1,28,1,30,1,6,2,30,2,28,1,30,1,29,1,28,1,30,1,7,1,29,1,6,1,13,1,30,1,6,2,30,2,13,1,7,1,9,1,13,1,9,3,13,1,7,1,13,1,24,1,8,1,10,1,13,1,9,1,8,1,9,1,7,1,8,1,6,1,7,2,29,1,28,26,29,1,25,1,7,1,13,1,24,2,8,1,10,1,24,1,12,1,24,1,17,1,12,2,9,1,11,2,12,2,11,1,17,2,11,1,17,1,24,1,10,1,8,2,25,3,6,1,24,1,7,1,30,1,24,1,29,3,6,1,29,1,30,1,28,1,30,1,29,1,28,3,30,1,28,5,30,3,28,1,29,1,27,1,25,1,30,1,27,2,28,18,30,1,28,1,29,1,28,2,6,1,30,1,29,2,30,1,28,6,29,1,28,1,30,1,6,1,30,1,6,2,27,1,25,1,6,1,29,1,28,1,29,1,28,40,30,1,28,1,27,1,30,2,27,3,26,1,25,1,24,4,12,4,11,3,17,11,12,1,17,8,12,1,17,14,11,1,10,1,12,1,11,2,17,1,12,2,9,1,17,2,10,1,11,1,17,3,11,2,17,3,12,1,17,1,11,1,17,1,11,1,17,1,12,1,11,3,17,1,11,3,17,1,12,1,10,1,12,1,10,2,24,1,9,1,10,1,8,1,10,3,9,3,8,1,9,1,10,2,9,1,12,1,24,1,12,1,11,1,10,2,9,1,10,1,9,1,10,2,24,1,10,1,12,1,8,1,24,1,8,2,24,2,8,2,24,1,10,1,24,1,8,1,9,1,8,1,9,3,11,1,10,1,24,1,10,2,24,2,13,1,24,2,8,1,13,1,8,2,24,1,8,2,24,2,8,1,10,1,24,1,9,3,10,2,17,25,16,1,5,64,28,7,30,1,28,2,29,1,8,1,17,2,16,1,12,2,8,2,28,1,29,1,6,1,13,1,6,1,29,1,6,2,24,1,11,1,17,1,24,1,30,1,28,4,30,1,9,1,14,1,8,1,29,1,28,1,29,1,7,1,28,28,}, {28,1,29,1,28,8,30,1,28,3,13,1,28,6,6,1,28,1,30,1,28,1,6,1,28,5,30,1,28,2,30,2,7,1,12,1,6,1,24,1,8,1,12,1,17,2,9,1,7,1,29,1,7,1,29,1,13,1,11,1,17,2,11,1,12,2,10,1,11,1,9,1,6,1,9,1,13,1,8,2,11,1,9,1,13,2,6,1,13,1,6,2,8,2,17,1,12,2,9,1,7,1,9,1,24,1,9,1,16,1,17,1,14,1,11,1,13,1,8,2,9,2,8,1,29,1,28,1,6,1,28,18,30,1,28,3,6,1,13,1,30,1,8,1,13,1,9,1,17,2,13,1,7,1,6,5,13,1,17,2,8,1,15,1,8,2,13,1,8,1,13,1,6,1,7,2,6,1,13,1,6,1,24,2,9,1,15,1,30,1,28,11,30,1,28,1,6,1,13,3,29,1,28,2,30,1,28,9,30,2,6,5,30,1,29,1,28,1,13,1,6,1,29,1,13,1,30,1,6,2,29,2,30,1,6,1,28,1,7,1,6,1,28,1,30,2,28,1,30,1,28,3,30,1,28,6,30,1,28,6,30,1,28,1,29,1,28,38,30,1,28,4,6,1,30,1,6,1,29,1,30,1,29,1,6,1,13,1,6,2,29,1,6,1,28,1,29,1,30,1,6,1,28,1,30,1,28,1,6,1,29,1,30,1,28,1,29,1,6,1,29,1,28,1,6,1,30,1,29,1,28,1,30,1,28,3,13,1,28,2,6,1,13,1,30,1,13,1,30,1,29,1,6,1,13,1,9,1,8,1,9,1,11,1,16,1,17,8,16,1,8,1,9,1,10,1,17,15,11,1,13,1,30,3,28,59,30,1,28,7,6,2,29,2,7,1,8,1,6,2,26,1,6,1,25,1,6,1,7,1,6,1,7,1,6,2,13,1,7,1,6,2,30,1,13,1,9,1,8,1,24,2,17,1,12,1,17,2,12,1,17,5,24,1,29,1,6,2,24,1,9,1,17,2,16,1,5,1,33,115,5,170,11,2,10,1,28,1,30,1,28,63,30,1,28,1,6,1,30,1,29,1,24,1,7,2,24,1,8,1,24,3,9,1,10,1,24,3,8,1,13,1,24,1,8,2,10,1,12,1,10,1,12,1,10,1,9,1,8,1,24,1,9,1,8,1,9,1,13,2,8,1,13,1,8,1,24,2,8,1,12,2,11,1,12,1,17,1,12,1,10,1,16,1,10,1,13,1,30,1,28,36,8,1,24,1,9,2,11,2,13,1,9,2,17,3,10,1,17,1,16,2,17,2,9,3,17,3,9,1,6,1,11,1,17,9,16,1,17,6,12,1,17,5,30,1,28,1,6,1,28,6,30,1,6,1,30,1,9,1,17,1,16,1,17,1,5,31,33,2,28,4,30,1,6,1,28,53,30,3,28,29,29,1,30,1,8,1,13,1,9,2,11,1,9,1,10,1,17,1,9,1,10,2,9,3,24,1,8,1,13,1,8,1,13,2,7,1,13,1,6,1,7,1,6,1,30,1,29,1,28,1,30,2,28,1,6,1,28,2,29,1,30,3,29,1,28,4,29,1,30,1,7,1,28,23,30,2,28,4,6,2,30,4,6,1,30,1,28,1,30,1,28,2,6,1,28,44,30,1,28,3,30,1,28,1,30,1,29,1,30,1,6,3,13,2,9,1,13,1,12,1,13,1,9,1,11,1,9,2,8,1,10,1,9,1,12,1,10,2,17,1,8,1,11,1,10,1,12,1,11,1,8,1,9,2,11,1,13,1,10,1,9,2,10,1,9,1,17,1,9,1,16,1,17,1,10,1,11,1,10,1,11,1,12,1,9,2,12,1,11,1,9,1,17,1,12,1,11,2,17,1,10,1,8,1,6,1,12,1,17,1,12,1,17,4,11,2,17,22,16,1,17,8,16,1,17,6,16,2,17,7,16,2,17,4,16,1,17,11,8,1,13,1,6,2,7,1,29,1,30,1,6,1,29,2,30,2,28,1,6,1,29,1,6,2,7,1,29,1,13,1,29,1,7,2,6,1,13,1,7,1,6,1,29,1,8,1,6,1,29,1,24,1,6,1,8,1,26,1,29,1,8,1,29,1,25,1,29,1,26,1,27,2,29,1,30,1,7,1,27,1,25,1,30,2,28,2,30,1,28,2,30,2,26,2,28,2,29,2,27,1,30,1,27,1,30,1,28,1,30,1,28,8,30,1,28,26,30,1,28,21,30,2,28,1,6,2,28,90,6,1,30,1,28,2,6,1,28,1,30,1,28,10,30,2,6,2,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,2,13,4,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,3,8,1,13,2,30,1,28,5,30,1,28,40,6,1,28,2,30,2,28,1,30,4,13,1,28,1,30,3,29,1,6,1,28,1,30,3,13,1,28,1,30,3,6,1,30,1,6,1,29,1,8,2,6,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,13,1,6,1,7,1,30,1,6,2,30,1,13,1,6,1,8,1,7,1,8,1,7,1,13,1,8,1,7,1,6,1,9,1,8,2,7,1,8,1,7,1,13,1,6,1,30,1,28,2,30,1,28,41,30,1,28,20,30,1,29,1,28,1,30,1,28,4,29,1,30,1,28,1,30,2,6,1,28,1,30,1,6,2,28,1,30,1,28,1,30,1,28,1,6,2,30,1,6,1,29,1,28,1,30,1,28,2,30,1,28,3,30,1,28,1,7,1,6,1,28,1,13,2,7,1,6,1,30,1,7,1,29,1,13,1,7,1,9,1,13,2,9,1,8,2,10,1,9,1,11,2,9,2,8,3,24,1,6,2,28,8,30,1,28,17,27,1,6,1,25,1,7,1,24,3,8,1,12,1,9,1,17,1,10,1,12,2,9,1,10,1,11,1,17,1,10,1,17,1,12,1,17,2,12,1,10,1,24,3,6,1,24,1,25,2,6,1,7,2,6,1,25,1,6,1,7,1,6,1,29,1,25,1,30,1,27,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,28,3,30,2,29,1,30,1,27,1,29,1,25,1,6,1,27,1,29,2,28,19,30,1,28,1,30,1,28,62,30,1,28,1,30,1,28,3,30,1,28,1,29,1,30,1,25,3,10,1,24,2,10,1,12,1,24,1,17,1,12,1,9,1,11,2,17,1,11,1,17,11,11,1,17,4,11,1,12,1,17,6,12,1,11,1,17,1,11,1,17,3,11,2,17,1,11,1,12,1,17,3,11,1,10,1,11,1,12,1,11,1,17,1,11,2,17,1,11,1,17,1,11,1,17,4,11,1,17,1,11,1,17,2,10,1,11,2,12,2,17,1,9,1,17,1,12,1,10,1,11,1,12,1,11,1,10,2,12,1,9,1,10,1,11,2,10,1,9,4,10,2,9,1,10,1,9,1,24,1,10,1,24,2,9,1,10,2,9,1,10,1,24,1,9,1,24,2,9,1,8,2,24,3,8,2,24,1,8,4,24,1,9,1,8,1,24,1,10,1,9,1,24,1,8,1,13,1,9,1,8,1,13,2,24,2,8,1,13,1,9,1,24,1,8,1,7,1,10,1,9,1,24,1,10,2,24,1,11,1,12,1,17,26,16,1,5,65,28,9,30,2,6,1,16,1,17,2,12,1,13,1,7,1,29,2,6,3,28,1,29,1,8,2,24,1,12,1,17,1,12,1,28,6,12,1,16,1,13,1,30,2,29,1,28,29,}, {28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,6,1,28,3,30,1,28,1,30,1,28,3,30,1,28,6,6,2,29,1,6,1,10,1,12,1,9,1,24,1,8,1,17,3,9,1,13,2,30,1,13,2,9,1,16,1,17,1,12,1,17,2,11,2,8,1,9,1,13,3,24,1,11,2,13,1,29,1,13,1,6,2,8,1,13,1,12,1,16,1,10,1,9,1,6,2,8,1,24,1,9,1,24,1,17,2,10,1,24,1,9,1,10,1,16,1,9,1,8,1,28,2,30,1,28,22,29,1,7,1,28,1,8,1,9,4,8,1,29,2,30,2,6,1,13,1,9,2,17,1,9,1,15,1,12,1,24,1,13,1,8,1,7,1,6,1,28,1,13,1,6,3,13,1,24,1,15,1,12,1,6,1,28,3,30,1,28,7,29,1,28,1,6,1,7,1,13,1,6,1,30,1,6,1,28,1,6,1,30,1,28,11,6,1,28,7,30,1,28,3,30,2,29,1,13,1,6,1,29,1,28,1,30,1,8,1,30,1,6,1,28,1,29,1,28,2,30,1,28,12,29,1,28,16,30,1,29,1,28,2,6,1,28,26,30,2,28,1,6,1,28,1,29,2,30,1,28,1,6,2,28,3,30,4,6,1,28,1,13,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,28,1,30,2,28,1,30,2,6,2,28,1,29,3,7,1,13,1,6,1,29,1,13,2,9,2,16,2,17,8,11,1,13,2,17,1,11,1,17,14,24,1,6,1,30,1,28,61,30,1,28,3,30,1,28,3,6,1,29,1,30,1,13,1,7,2,28,1,6,1,28,1,29,1,6,4,29,1,6,1,30,1,28,1,29,1,28,4,13,1,24,1,10,1,12,1,17,2,12,1,10,1,17,1,12,1,17,1,9,1,10,2,8,3,24,1,12,1,17,4,5,1,33,116,5,164,9,1,16,1,11,1,9,1,13,1,28,63,30,1,28,2,30,1,29,2,30,1,27,1,30,1,25,1,6,1,7,1,8,1,7,1,24,1,9,1,8,1,9,1,8,1,9,1,13,1,8,3,13,1,9,1,24,1,9,3,24,1,10,1,8,1,9,2,13,1,24,2,13,1,8,1,24,1,8,2,24,1,9,1,12,1,11,1,17,5,9,1,11,1,16,1,17,2,16,1,28,9,30,1,28,26,6,1,10,1,24,1,12,1,9,1,12,1,16,1,17,1,10,1,17,1,11,1,16,1,17,3,12,1,16,1,11,1,9,1,17,7,11,1,17,13,16,1,17,1,10,1,9,1,11,1,17,1,9,1,11,1,17,2,30,2,6,1,28,5,29,1,28,1,30,1,6,1,9,1,12,1,17,1,5,28,33,1,13,2,28,4,7,2,28,10,30,1,28,34,30,1,29,1,30,1,6,1,28,1,30,1,28,3,7,1,30,1,29,1,28,1,30,1,28,28,7,1,30,1,8,2,24,1,9,1,12,1,10,1,12,2,11,1,12,1,11,1,10,2,9,2,8,1,9,1,24,1,8,3,7,1,6,2,30,1,29,1,28,1,6,1,28,1,30,1,28,1,29,1,30,1,6,1,13,1,6,2,7,1,8,1,6,2,13,1,7,1,6,1,8,1,13,1,29,1,13,1,6,2,29,1,30,1,28,14,6,1,29,1,30,2,6,1,29,1,6,2,29,3,8,1,6,2,30,2,28,1,29,1,30,3,7,1,28,44,30,1,28,3,30,1,29,2,7,1,8,1,13,1,6,1,24,1,9,1,13,1,10,1,8,1,9,1,24,1,12,1,9,1,10,1,12,1,9,1,11,1,10,1,9,2,8,1,16,1,10,1,12,1,10,1,9,3,11,1,9,1,11,1,12,1,9,1,11,1,9,2,13,1,12,1,11,1,10,1,11,1,12,1,11,1,12,1,10,2,9,1,11,2,12,1,17,1,10,2,9,1,11,1,10,1,9,1,13,1,10,1,9,1,17,5,12,1,17,2,11,1,17,6,16,1,11,1,17,4,16,2,17,14,16,1,17,1,16,1,17,2,16,1,17,2,16,2,17,4,16,1,17,3,16,1,17,17,8,1,13,1,7,1,6,1,29,1,7,1,6,1,28,1,6,2,29,1,28,1,6,1,29,2,6,3,29,2,6,1,13,1,7,1,6,1,7,1,26,1,6,1,29,1,8,1,29,1,24,1,29,1,6,1,25,1,30,1,27,1,26,1,28,1,25,1,29,1,27,1,6,2,27,1,29,1,6,1,30,1,29,1,30,2,27,1,30,2,28,1,30,2,29,1,30,2,27,1,29,1,28,1,29,1,26,1,27,1,29,1,28,5,30,1,28,11,30,1,28,16,29,1,28,29,29,1,7,1,30,1,28,88,30,1,28,1,30,1,6,1,30,1,13,1,28,2,29,1,28,2,30,1,6,1,28,2,30,3,13,2,30,1,13,1,30,2,6,1,7,1,6,1,30,1,13,2,6,2,13,1,9,1,8,1,9,1,11,1,8,1,13,4,8,1,13,1,8,1,13,2,8,1,13,1,6,1,28,5,30,1,28,46,6,1,28,1,6,1,28,1,29,1,6,1,30,1,6,1,30,1,6,1,30,2,28,1,6,1,28,1,30,2,6,8,9,1,7,1,13,4,8,1,7,3,8,1,13,1,30,1,28,1,7,1,6,1,7,2,13,1,29,1,13,1,6,1,13,1,8,1,6,1,8,1,9,1,8,2,13,3,29,1,13,1,8,1,7,1,28,1,30,1,28,41,30,1,28,8,30,1,28,14,30,1,28,1,6,1,28,1,30,1,28,1,6,2,28,1,29,1,28,1,29,1,30,1,13,1,28,1,30,2,28,2,29,1,28,1,6,1,13,1,6,1,30,1,28,2,30,1,28,3,30,1,6,1,28,2,30,1,6,1,28,1,6,2,13,1,6,1,30,1,13,1,30,2,6,3,13,2,8,1,7,1,8,1,10,1,9,1,12,2,11,1,12,1,24,1,8,1,24,1,8,1,6,1,29,1,28,26,29,1,30,1,25,2,24,1,8,1,10,1,13,1,24,1,12,2,24,1,10,1,12,1,17,1,10,1,12,2,10,1,17,1,10,1,12,1,17,3,12,1,8,1,24,1,13,2,8,1,25,1,24,1,7,1,29,1,8,1,29,1,13,1,7,2,6,2,25,1,6,2,30,1,27,1,28,3,30,1,28,1,6,1,29,4,6,2,25,4,26,1,29,1,27,1,30,1,28,15,30,2,28,69,27,1,28,2,30,1,27,1,28,1,27,1,25,1,8,1,7,1,10,1,8,1,10,1,24,1,9,1,10,1,11,1,17,1,10,1,11,1,17,3,12,1,17,8,12,1,17,5,11,2,17,6,11,1,17,3,12,2,11,1,17,2,11,1,12,1,10,1,17,1,12,2,17,1,12,1,10,1,17,2,11,2,17,4,11,3,12,1,17,1,11,2,12,1,11,2,12,1,10,1,12,1,17,1,10,1,17,1,10,1,11,2,9,1,12,2,10,1,12,1,9,1,12,1,10,1,9,1,10,1,9,3,10,2,12,1,24,1,10,3,11,1,10,1,24,1,10,1,9,2,24,2,8,1,9,1,10,1,24,1,9,1,10,1,8,2,24,1,9,1,24,1,13,1,8,2,24,1,8,2,24,1,9,1,24,2,8,1,9,1,8,1,10,1,9,1,24,1,10,1,9,2,8,1,13,2,24,1,8,1,13,1,24,1,8,1,9,1,8,1,9,1,10,1,24,2,9,1,12,2,17,1,12,1,17,24,16,1,5,67,28,10,30,1,13,1,10,1,17,1,10,2,29,1,13,1,28,1,30,1,6,2,30,1,6,2,13,1,6,1,13,1,9,1,10,1,24,1,28,6,17,1,9,1,8,1,30,1,28,31,}, {6,1,30,1,28,1,6,1,28,9,30,1,28,1,30,1,28,3,30,1,6,1,28,1,29,1,6,1,28,1,30,2,28,1,30,1,28,3,30,1,6,1,30,1,6,1,8,1,10,1,17,1,9,1,11,2,17,2,11,1,8,1,7,1,6,2,7,1,9,1,14,1,17,1,11,1,17,1,12,1,16,1,9,3,13,2,6,2,15,1,9,1,10,1,6,1,8,1,7,1,8,1,30,1,13,1,9,4,8,2,13,1,9,1,24,1,9,1,17,2,12,1,13,1,8,1,9,3,8,1,30,1,28,12,30,1,28,13,6,1,13,1,9,1,24,1,9,2,8,1,13,1,6,1,30,2,6,1,30,1,8,1,12,2,10,1,11,1,10,1,8,1,10,1,9,1,24,1,6,1,8,1,30,1,8,1,6,1,13,1,24,1,15,3,6,1,30,1,28,10,6,1,28,2,13,1,8,1,13,1,6,2,28,1,6,1,28,7,30,1,28,4,30,1,13,1,6,1,28,6,30,1,28,1,30,3,6,2,30,1,28,1,13,1,28,2,30,3,28,1,30,1,28,1,29,1,28,1,30,1,28,28,30,1,6,1,7,1,28,1,29,1,30,2,28,5,30,1,28,3,30,1,28,7,30,1,28,2,30,2,28,2,29,1,28,2,29,1,28,2,6,1,28,6,30,1,28,1,30,2,13,1,28,3,29,2,6,1,30,1,28,1,29,1,28,1,6,2,28,1,29,1,28,1,13,1,28,1,29,1,28,1,30,1,6,3,13,1,6,3,8,1,13,1,8,1,13,1,16,2,17,8,8,1,13,1,9,1,16,1,17,14,9,1,13,1,6,1,28,1,30,1,28,57,30,1,28,5,30,1,28,2,30,2,6,2,30,1,6,1,30,2,28,2,29,1,28,1,6,2,25,1,6,3,30,1,6,1,30,1,28,5,6,1,8,1,24,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,12,1,11,1,24,1,9,1,12,1,10,1,17,5,5,1,33,117,5,161,33,1,28,68,30,1,28,3,30,1,28,1,30,1,25,1,28,1,29,1,6,1,7,3,8,1,24,1,13,1,9,1,24,5,6,1,24,2,13,1,12,1,24,1,12,2,10,2,12,1,9,1,8,1,24,1,8,1,24,2,9,1,13,1,8,1,9,2,17,1,12,1,17,1,12,1,17,4,11,1,16,2,5,4,9,1,28,36,13,1,11,1,8,1,9,1,17,8,16,1,17,1,16,1,11,1,9,1,10,1,9,1,16,1,17,15,11,1,17,4,11,2,8,1,9,1,13,1,9,1,17,1,11,1,16,1,12,1,28,1,29,1,28,8,30,1,7,1,8,1,17,2,5,26,33,1,28,3,30,2,8,1,30,1,28,12,7,1,30,1,28,32,29,2,6,2,30,1,28,1,29,1,30,2,6,1,13,2,11,1,30,1,28,29,6,2,13,1,8,1,9,1,11,2,10,1,11,2,10,1,16,1,17,1,9,1,11,2,9,2,24,1,13,1,8,1,7,1,6,1,30,1,6,2,29,1,13,1,29,1,6,2,13,2,8,1,24,1,8,2,10,1,8,1,24,1,8,6,7,1,24,2,13,1,24,1,13,2,6,2,13,1,6,2,28,1,29,1,30,2,7,1,30,2,29,1,6,1,30,1,6,1,7,1,6,2,30,2,6,1,30,1,29,1,30,1,29,1,30,1,29,1,28,1,29,1,6,2,13,1,29,1,6,1,30,2,28,1,30,1,28,6,30,1,29,1,28,1,30,1,28,33,29,1,6,1,29,1,13,1,7,1,13,2,7,2,13,1,8,1,13,2,9,2,13,1,11,2,9,1,11,1,8,1,9,1,11,1,17,2,9,1,12,1,16,1,11,1,9,1,10,1,8,1,9,1,11,1,13,1,24,1,11,1,12,1,13,1,11,1,8,1,9,1,13,1,8,1,17,2,9,1,17,1,12,1,11,1,17,1,11,1,9,1,17,1,11,1,12,1,16,1,9,1,10,1,11,1,8,1,11,2,9,1,17,1,12,2,17,5,11,2,9,1,17,3,11,1,17,1,16,1,11,1,17,21,16,1,17,4,16,2,11,1,16,2,17,1,16,2,17,23,9,1,7,1,6,1,7,4,29,1,6,2,7,1,6,1,30,1,29,2,30,1,7,2,29,1,7,1,13,2,7,1,6,1,7,1,6,1,7,1,6,2,8,1,25,1,8,1,25,2,27,1,30,1,27,1,28,1,8,1,29,1,8,1,29,2,27,1,30,1,7,1,28,1,25,1,28,2,30,2,28,1,29,1,30,1,27,1,28,1,26,1,29,2,26,1,30,1,29,2,28,2,30,1,29,1,28,2,30,1,28,29,30,1,28,31,11,1,28,85,30,1,28,3,6,1,28,1,30,1,28,1,30,2,8,1,29,1,28,1,13,1,28,1,29,1,30,1,28,1,13,1,30,1,6,3,13,1,6,1,30,1,7,1,6,1,30,1,7,1,13,1,7,1,13,1,7,1,9,1,13,1,9,2,10,1,13,3,7,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,2,6,1,28,1,30,1,28,2,13,1,28,44,30,2,28,1,30,2,29,1,30,5,7,1,28,1,30,1,6,1,28,3,29,1,28,1,7,1,28,1,6,1,30,1,28,1,6,1,30,1,13,2,6,1,7,1,13,2,7,1,13,1,6,1,13,1,6,1,7,1,13,2,7,1,13,1,7,1,6,1,13,1,6,1,7,1,6,1,13,1,7,1,13,2,6,2,13,2,7,1,8,1,13,1,24,1,13,2,8,1,30,1,28,1,30,1,28,41,30,1,28,14,30,2,28,1,30,1,28,11,30,1,28,1,30,1,28,1,30,1,28,3,30,2,28,3,29,1,30,1,28,1,30,4,28,1,30,1,28,3,30,1,28,2,30,1,28,2,6,1,30,1,6,2,7,1,30,1,6,2,30,1,13,3,7,1,13,1,7,1,8,2,10,1,8,1,11,1,17,1,11,1,10,1,12,2,8,1,13,1,29,1,28,14,30,1,28,5,30,1,28,2,29,1,28,1,29,1,30,1,29,1,25,1,6,1,8,1,24,1,9,1,24,1,9,3,12,1,10,1,9,1,12,2,10,3,17,2,10,1,12,1,17,2,10,2,24,1,8,1,24,1,13,1,7,2,8,1,6,1,13,1,6,2,7,1,13,1,7,1,8,1,25,1,24,1,25,1,6,1,27,1,30,1,7,1,30,2,6,1,7,1,30,1,7,2,6,1,29,1,30,1,8,1,27,1,6,1,7,1,29,1,30,3,28,12,30,1,28,70,30,1,28,1,29,1,28,1,29,1,27,1,30,1,29,2,8,2,24,2,8,2,10,2,9,1,12,1,8,1,11,1,10,1,12,1,17,9,12,1,17,2,11,1,17,5,12,1,11,1,17,3,11,2,12,1,11,1,17,4,12,1,17,1,12,1,17,4,11,1,17,1,11,1,17,2,11,3,12,1,11,3,17,1,11,1,12,2,9,1,11,3,17,1,12,1,11,1,17,1,12,1,11,3,12,1,17,2,10,2,12,2,10,2,12,1,10,1,9,1,10,1,11,1,8,2,10,1,13,1,9,3,24,1,10,1,24,3,9,1,8,1,9,1,8,1,24,1,8,1,11,1,10,1,9,1,24,1,8,3,24,1,13,2,24,1,8,1,24,3,9,1,8,1,24,2,8,1,9,1,11,1,9,1,24,1,9,1,10,1,24,1,13,4,7,1,13,1,8,2,24,4,10,1,24,1,10,3,12,1,17,1,12,1,17,26,5,69,28,11,12,1,17,1,12,1,10,1,12,1,29,2,28,1,30,1,29,2,30,2,6,1,8,1,7,1,24,1,8,1,12,1,9,1,28,4,30,1,6,1,9,1,12,1,8,1,28,1,30,2,28,28,6,1,}, {6,1,28,4,30,1,28,10,30,1,6,1,28,2,6,1,30,1,6,1,28,2,29,1,28,7,6,1,28,1,7,1,13,1,12,1,17,1,9,2,17,3,8,1,6,1,13,1,8,1,6,1,30,1,9,1,14,1,16,1,12,1,17,1,16,1,10,1,17,1,16,2,8,1,13,3,15,1,9,1,13,1,7,1,6,1,13,1,7,1,8,1,10,1,9,1,12,1,9,1,10,1,8,1,13,2,9,3,17,2,11,1,9,1,13,3,15,1,13,1,28,25,30,1,6,1,13,2,9,1,10,1,17,1,10,1,6,1,30,1,7,1,28,1,30,1,28,1,6,1,13,1,12,1,15,1,24,1,9,1,10,1,8,1,13,1,8,1,9,1,13,3,7,1,8,1,13,1,9,1,24,1,9,2,13,1,28,11,30,1,28,2,30,1,8,1,13,1,6,1,13,1,6,2,28,3,30,1,28,6,29,1,28,2,30,1,29,1,28,4,30,1,28,2,30,1,28,1,6,1,28,1,29,1,28,1,7,1,28,1,30,2,28,1,6,1,28,1,6,1,28,1,29,1,28,9,30,1,28,5,30,1,28,4,30,2,29,1,28,2,30,2,28,3,6,1,29,1,6,1,29,3,28,1,30,2,28,3,30,1,28,1,6,1,28,1,30,1,28,5,6,1,28,1,30,2,29,1,28,2,30,1,29,1,30,1,28,3,30,2,28,1,30,3,28,1,30,1,28,7,30,1,28,3,30,1,28,1,6,1,30,2,7,1,6,1,30,2,28,1,6,1,28,1,13,1,29,1,30,4,6,1,30,1,13,1,30,1,6,1,13,1,9,1,13,1,8,2,13,1,16,2,17,6,11,1,8,1,6,1,8,1,12,1,17,14,13,2,29,1,28,67,30,1,28,1,29,1,30,1,29,1,28,1,30,1,28,3,29,1,28,1,29,1,27,1,6,1,29,1,6,1,25,1,29,1,7,1,30,1,28,7,7,1,30,1,29,1,8,2,24,1,10,1,12,2,10,1,12,1,10,1,17,8,5,1,33,118,5,156,13,1,9,1,6,1,28,72,30,1,28,1,30,1,28,2,30,1,29,1,30,1,6,1,29,1,13,1,8,2,12,1,8,1,10,3,13,1,24,1,13,1,24,1,7,1,9,1,24,1,10,1,9,2,12,1,9,2,13,1,10,1,8,1,24,1,8,1,24,1,9,1,10,1,12,1,24,1,12,1,11,1,17,9,5,6,16,1,6,1,28,5,30,1,28,28,30,1,28,1,24,2,11,1,17,3,12,1,11,1,17,1,16,3,11,2,16,1,11,1,12,1,11,1,17,17,16,1,17,1,11,1,17,2,9,1,11,1,10,1,11,1,12,1,17,1,11,1,10,1,17,1,24,1,28,1,29,1,30,1,28,7,29,1,6,1,24,1,17,1,16,1,5,23,28,4,6,1,28,17,9,1,8,1,28,32,30,1,6,1,29,1,13,2,8,1,13,1,6,1,13,1,8,2,11,1,13,1,28,29,29,1,6,1,13,1,7,1,13,1,9,1,11,1,10,1,12,1,11,1,17,1,11,1,17,1,12,1,11,1,12,1,9,4,13,1,29,1,6,1,7,1,13,3,7,1,13,1,7,1,8,1,13,1,8,1,24,2,7,1,24,1,13,2,7,1,13,2,7,1,13,1,7,1,13,2,8,1,6,1,8,1,13,6,6,1,7,1,6,4,30,1,6,3,29,1,6,1,29,1,30,2,6,1,30,1,13,1,29,1,6,3,30,1,7,1,6,1,8,1,6,1,7,2,24,1,6,1,13,2,29,1,6,1,29,1,30,1,28,1,30,1,29,2,28,1,6,2,29,1,30,3,29,1,28,27,6,1,29,1,28,1,6,1,29,1,6,1,29,2,13,4,24,1,13,1,8,1,13,1,8,2,17,1,9,1,24,1,8,1,10,1,11,1,17,1,10,1,9,5,10,1,9,1,10,1,12,1,8,1,10,1,11,1,9,2,13,1,9,3,11,1,12,1,9,1,12,1,9,3,11,1,17,1,11,1,10,1,12,1,16,1,17,1,13,1,11,1,9,2,13,1,11,1,9,2,17,1,12,2,17,16,11,1,17,3,16,1,17,18,16,1,17,6,16,1,17,2,16,2,17,3,16,1,17,1,16,1,17,17,12,1,6,1,13,1,6,1,7,1,6,2,7,1,13,1,6,2,30,1,6,1,25,1,30,1,6,3,8,1,26,1,29,1,6,1,7,2,29,1,25,3,27,1,25,4,29,1,25,1,30,1,27,1,25,2,27,1,25,1,27,1,29,1,25,2,6,1,30,1,29,1,30,1,27,1,30,1,28,1,30,2,29,1,28,1,30,2,27,1,25,1,29,1,27,1,28,6,30,1,28,5,30,1,28,57,13,1,28,91,7,1,13,1,30,1,7,2,6,1,13,1,6,1,13,1,6,1,30,1,7,1,6,1,7,1,6,6,30,1,13,1,7,3,6,1,13,2,9,1,8,1,9,2,13,3,9,1,13,1,9,2,13,1,8,1,13,1,8,1,13,3,6,2,30,1,6,1,8,1,29,1,28,44,30,1,28,3,30,1,28,2,6,2,30,1,29,1,28,1,6,2,30,1,6,1,28,1,30,3,6,1,29,1,28,3,30,1,6,1,7,1,6,1,13,2,7,2,6,2,13,2,7,1,6,1,7,1,13,1,7,3,30,1,7,3,13,1,29,2,6,1,13,2,29,1,6,1,8,1,7,1,13,1,6,1,7,2,8,1,7,1,29,2,28,1,30,1,28,54,30,1,28,10,30,1,28,1,7,1,28,8,13,1,28,1,30,1,13,1,30,1,28,3,29,1,28,3,7,1,28,1,6,1,28,4,6,1,28,2,29,1,30,1,28,1,30,2,13,1,28,1,30,1,29,1,6,1,30,1,7,1,29,1,6,1,13,3,7,1,8,2,9,1,8,2,9,1,11,2,8,1,12,1,10,1,8,1,29,1,6,1,28,4,30,1,28,14,29,1,28,4,29,1,27,1,6,1,7,2,8,1,13,1,12,1,7,1,11,1,24,1,11,1,8,1,17,2,9,1,12,1,10,1,12,1,10,1,9,1,11,1,12,1,17,3,10,2,24,1,8,1,7,1,6,1,24,1,8,1,7,1,13,1,24,1,7,1,6,1,8,1,13,1,30,1,8,1,28,1,26,1,6,1,25,1,29,1,6,2,30,1,6,1,29,1,28,1,29,1,6,1,13,1,7,1,6,1,13,1,25,2,8,1,25,1,6,1,8,1,29,1,30,1,28,11,29,1,30,1,28,73,30,1,29,1,30,1,29,2,25,1,26,1,6,1,24,4,12,1,24,1,10,1,12,1,11,1,9,1,12,1,11,1,17,25,12,1,17,2,12,1,17,2,11,1,12,2,17,3,12,1,11,1,12,1,10,1,12,1,17,1,10,1,17,2,11,1,12,1,17,2,11,3,10,1,17,1,11,1,17,1,9,1,17,1,10,1,17,2,11,1,17,2,11,1,12,1,10,1,11,1,12,1,11,1,12,1,11,1,12,1,9,2,10,1,12,1,8,1,9,1,24,1,9,1,24,1,10,1,9,2,8,1,9,1,24,2,9,2,10,1,8,1,9,1,8,1,24,1,9,2,24,2,8,4,9,2,10,2,8,1,10,1,24,3,10,1,8,2,24,2,10,1,8,1,10,1,9,1,24,1,10,1,6,1,29,1,8,2,13,1,8,1,24,2,8,1,24,2,10,1,24,1,12,1,17,29,16,1,5,71,28,10,6,1,13,1,17,2,9,2,24,1,29,1,30,1,6,2,30,1,28,1,29,1,8,1,13,3,8,1,12,1,9,1,28,5,30,1,11,1,16,1,7,1,6,1,30,1,28,25,30,1,28,3,30,1,}, {29,1,30,1,28,2,29,1,28,7,30,1,28,1,30,1,28,1,30,1,28,4,6,1,30,1,28,6,29,1,28,1,30,1,28,1,30,1,28,1,29,1,8,2,24,1,10,1,9,1,17,3,11,1,13,1,6,2,29,2,9,1,17,1,16,1,9,1,16,3,17,2,14,1,9,1,6,2,24,1,15,1,14,1,6,2,13,1,6,1,13,1,8,1,13,1,8,1,12,1,16,1,9,2,8,1,13,1,8,1,9,2,17,2,16,1,10,1,13,1,8,1,13,1,9,1,13,1,30,1,28,24,6,2,13,1,24,1,13,1,24,1,10,1,11,1,6,1,28,1,30,1,29,1,30,1,29,1,28,1,7,1,12,2,15,1,9,1,11,1,9,1,6,1,9,1,8,1,7,1,30,1,13,3,8,1,24,1,10,1,9,1,10,1,8,1,28,3,30,1,28,4,30,1,28,5,13,2,8,1,13,4,6,1,28,10,30,1,28,2,29,1,13,1,28,1,29,1,30,1,28,1,6,1,28,1,30,2,13,1,30,1,6,1,30,1,6,1,29,1,30,1,13,1,30,1,6,1,28,2,6,1,28,1,30,1,28,2,30,1,28,8,6,1,28,1,30,1,28,12,30,1,28,1,30,1,6,1,28,2,30,2,28,4,30,1,28,4,30,3,28,5,6,1,29,1,6,1,30,1,6,2,28,1,13,1,28,1,30,4,29,1,28,10,30,1,28,1,30,1,28,8,30,1,29,3,30,1,6,2,30,6,6,1,30,1,9,1,30,1,6,2,8,1,13,1,9,1,13,1,9,1,13,1,8,1,11,1,17,1,16,1,17,5,12,1,11,1,9,1,8,1,16,1,17,14,8,1,13,1,28,61,30,1,28,5,30,1,28,4,30,1,28,2,29,1,28,3,30,1,29,2,25,1,6,2,7,1,6,3,28,8,30,1,28,1,30,1,28,1,13,1,12,1,17,6,16,1,17,4,5,2,33,119,5,152,33,1,13,1,28,3,6,1,28,75,29,1,28,2,6,1,29,1,6,1,7,1,24,1,13,1,8,2,24,1,12,1,24,1,12,1,24,1,8,1,24,1,8,2,9,1,12,1,24,1,12,1,8,1,10,1,9,1,13,1,10,1,8,4,11,1,24,1,10,1,12,1,24,1,10,1,17,1,24,1,17,3,12,1,17,1,16,1,11,1,5,1,33,1,5,7,13,1,28,36,13,1,10,1,9,1,11,1,17,2,12,1,11,1,9,2,16,2,5,1,16,2,11,1,9,1,17,3,12,1,11,1,17,16,11,1,9,1,11,1,17,1,9,1,11,1,16,1,17,2,16,1,17,2,9,1,29,1,30,2,28,7,29,1,13,1,24,1,16,1,5,22,28,1,13,2,28,18,6,1,8,1,11,1,13,1,6,1,28,14,30,1,28,17,13,1,7,1,8,1,13,2,8,1,9,1,8,2,17,1,13,1,28,30,30,1,13,1,6,1,8,1,10,1,11,2,12,1,17,1,11,1,17,1,16,1,9,1,17,1,10,1,11,1,9,2,13,3,6,1,8,1,13,2,8,2,24,1,9,1,8,5,13,1,8,1,13,1,6,1,13,2,6,1,30,1,6,1,29,1,6,3,13,2,6,2,29,1,6,3,7,1,6,3,8,1,30,1,7,2,30,1,29,1,28,1,7,1,6,1,13,1,6,4,29,1,6,5,13,2,6,3,8,2,13,1,24,1,13,3,30,1,6,3,13,2,7,1,29,3,6,1,30,1,28,1,30,2,28,1,30,1,28,15,30,1,29,1,28,2,30,1,28,2,6,1,7,1,28,1,29,1,6,3,7,1,24,1,13,3,24,2,8,1,9,1,13,1,9,1,10,1,8,1,24,1,10,1,11,1,10,1,12,1,10,1,17,1,10,1,9,1,17,1,9,1,10,1,11,1,9,1,8,1,10,1,9,3,8,1,13,1,24,1,9,1,8,1,9,1,8,1,9,1,13,1,24,1,9,2,12,2,9,2,8,2,10,1,12,1,9,2,8,1,10,1,11,1,17,4,12,1,17,5,12,1,17,7,11,1,16,1,17,3,16,1,17,1,16,3,17,1,16,3,17,2,16,1,17,14,16,1,17,1,16,1,11,1,16,1,17,1,16,2,17,5,16,1,17,19,13,5,6,1,7,1,6,1,30,1,29,1,30,1,8,1,29,1,25,2,6,2,24,1,6,2,25,1,7,1,6,1,8,1,7,2,8,2,25,1,8,1,25,1,26,1,27,1,25,1,30,1,27,3,25,1,27,1,25,2,29,1,27,1,29,2,27,1,28,1,29,1,27,1,28,1,30,1,28,1,27,1,28,1,27,1,28,2,26,1,28,1,29,2,28,66,30,1,28,90,30,1,28,4,30,1,29,1,28,1,7,1,30,1,6,2,13,2,30,1,6,1,7,1,30,1,28,1,6,1,28,1,7,1,28,2,6,1,30,1,13,5,8,3,12,1,8,1,13,2,7,1,9,2,7,1,13,3,6,1,30,1,7,1,6,1,7,2,13,2,9,1,13,1,30,2,28,38,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,4,30,1,28,4,29,1,30,2,28,3,7,1,30,2,29,3,13,1,29,1,28,1,30,1,28,1,6,1,13,1,6,3,13,5,29,1,6,3,13,1,7,1,13,1,7,2,13,1,6,1,29,1,7,1,13,1,7,1,13,3,7,1,6,1,30,1,8,1,13,1,30,1,6,1,30,1,28,1,30,1,28,37,30,1,28,2,30,1,28,25,6,1,28,1,30,1,28,6,30,1,6,1,30,1,28,2,30,1,28,1,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,10,30,1,28,1,30,2,13,1,30,1,13,2,29,1,13,1,29,1,6,2,13,1,6,1,13,2,8,1,10,1,13,1,9,1,10,1,12,1,9,1,8,2,13,1,7,1,29,1,28,2,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,2,29,2,30,3,29,1,27,3,26,1,8,2,24,1,9,1,8,2,9,1,24,1,12,1,10,1,12,1,8,1,10,1,12,4,11,1,17,4,12,1,17,1,8,1,10,1,8,1,24,2,13,1,8,1,7,2,6,2,7,1,8,1,7,2,8,1,25,3,7,1,26,1,6,1,25,1,6,1,29,2,6,1,29,1,7,1,29,1,7,3,6,1,25,1,6,1,7,1,30,1,29,1,30,1,28,10,30,1,28,74,30,1,28,1,30,1,29,1,30,1,25,1,26,1,25,1,24,6,12,1,24,2,12,1,24,1,12,1,11,1,17,3,16,1,17,22,11,1,17,6,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,1,12,2,11,4,12,3,17,1,11,1,17,1,12,1,11,1,17,4,11,1,17,3,11,1,17,1,11,1,17,1,11,1,9,3,10,2,11,1,10,1,8,1,9,1,10,2,9,1,10,1,13,1,9,1,8,1,9,1,24,1,10,1,8,1,10,1,12,1,10,1,24,1,10,1,9,1,8,1,24,1,13,1,8,1,9,1,10,1,24,3,8,1,10,1,13,1,24,2,10,1,9,1,12,1,9,2,13,1,8,1,24,1,9,1,24,1,9,1,13,1,8,1,13,1,7,1,13,2,8,1,24,1,8,1,13,1,10,1,8,1,24,1,11,1,9,2,10,1,17,29,16,2,5,72,28,10,29,1,24,1,16,1,12,1,10,2,8,1,6,2,28,1,29,1,30,2,28,1,24,1,6,1,13,2,9,1,12,1,13,1,28,5,30,1,16,1,12,1,6,1,28,1,30,2,28,28,7,1,}, {29,1,30,1,28,11,30,1,29,1,28,1,30,1,28,3,30,1,29,1,6,1,30,1,28,6,30,1,28,3,30,1,29,1,9,1,12,1,10,1,12,1,11,1,17,3,12,1,6,3,29,2,9,1,17,1,16,2,8,1,16,1,12,2,17,1,12,1,13,1,8,1,6,1,8,1,24,1,15,1,6,1,13,1,8,1,7,1,13,1,8,1,6,1,10,1,8,1,12,1,9,1,8,1,13,2,8,2,24,1,12,1,17,2,8,4,24,1,13,1,6,1,30,1,28,10,30,1,28,4,30,1,28,8,29,1,8,1,13,1,24,3,12,1,13,1,6,2,28,1,30,1,28,1,29,1,13,1,9,1,12,1,10,1,9,1,13,1,24,1,8,2,13,1,8,1,13,1,6,2,29,1,13,1,9,1,15,1,8,1,14,1,8,1,29,1,28,14,13,5,6,1,30,1,28,8,30,1,28,5,30,1,28,1,30,1,28,5,30,1,6,1,13,1,28,1,29,1,30,2,6,1,28,1,30,1,28,1,29,1,30,1,28,4,30,1,28,2,29,1,28,3,30,1,28,2,29,1,28,16,29,1,7,1,6,1,30,2,13,1,6,1,28,2,30,1,28,2,6,1,28,6,30,1,28,2,6,1,28,1,13,1,30,2,29,1,30,1,28,1,6,1,30,1,6,1,28,1,13,1,30,2,6,1,28,1,30,2,6,1,30,2,28,4,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,4,29,1,28,1,30,2,6,3,28,1,13,1,6,1,13,2,6,1,13,1,29,1,6,1,8,1,13,1,9,1,8,1,9,1,17,1,16,2,17,6,16,1,10,1,12,1,17,14,11,1,8,1,6,1,28,60,29,1,28,4,30,1,28,2,30,1,28,1,29,1,28,6,29,1,28,2,8,1,25,1,8,2,6,1,9,1,6,3,28,9,30,3,13,1,10,1,12,1,17,6,16,2,5,3,33,121,5,137,33,6,13,1,33,1,13,3,9,1,13,1,28,1,30,2,6,1,29,1,28,35,30,1,28,31,29,1,28,5,30,1,28,4,30,1,29,2,13,1,6,1,8,1,7,1,13,2,10,1,24,1,12,1,8,1,17,1,13,1,8,1,24,1,9,2,12,2,9,1,12,1,9,1,10,1,9,1,13,1,8,1,9,1,8,1,24,1,9,2,24,1,10,1,12,1,10,2,17,1,12,1,17,1,10,1,11,1,17,1,9,1,13,1,5,10,33,1,6,1,28,6,30,1,28,1,6,1,28,7,30,1,28,18,6,1,8,3,17,3,9,2,16,1,5,5,16,2,17,4,11,2,12,1,17,12,16,1,17,2,16,1,17,1,11,1,8,1,12,1,17,7,12,1,28,1,30,1,6,1,30,1,28,7,7,1,9,1,16,1,5,19,6,1,30,1,13,1,28,16,30,1,29,1,30,1,6,1,24,1,13,1,9,2,13,2,30,2,29,2,30,2,6,1,29,1,30,1,29,1,30,1,6,1,30,1,28,17,30,1,8,1,9,2,10,1,9,3,8,3,28,30,6,1,29,1,6,1,8,1,24,2,10,1,9,1,12,2,10,1,11,2,17,1,9,1,16,1,12,1,9,2,8,3,13,1,8,1,9,1,24,2,9,2,8,2,24,2,9,1,8,2,13,1,8,1,13,1,6,1,7,1,6,2,7,1,6,1,28,1,29,1,30,1,6,1,30,2,6,3,28,1,6,1,30,1,13,1,6,2,7,1,29,1,6,1,30,1,13,1,8,1,13,1,6,1,30,1,29,1,7,1,29,1,6,1,7,1,29,1,13,1,6,1,7,1,8,1,30,1,8,1,7,1,13,2,8,2,6,1,7,1,9,1,13,4,8,1,13,2,6,1,28,1,29,1,6,1,30,1,7,1,29,1,6,1,30,1,28,2,30,1,28,12,30,1,28,1,29,1,30,1,28,2,30,1,28,1,29,1,6,6,30,1,13,4,8,1,7,1,13,1,24,1,9,1,8,2,9,1,12,1,10,1,8,1,9,1,17,1,9,1,10,1,17,2,10,1,12,1,11,1,9,2,8,2,17,1,11,1,9,2,8,1,10,1,8,1,10,1,9,1,10,1,9,3,11,2,9,1,17,1,11,1,9,2,17,1,12,1,9,1,11,1,9,1,11,2,12,1,17,13,12,1,17,12,11,1,16,3,17,1,16,1,17,2,16,1,17,2,16,1,17,7,16,1,17,40,7,1,6,1,7,3,6,2,8,1,7,2,25,1,26,2,27,1,26,1,7,3,6,1,8,1,6,1,26,1,8,1,24,1,25,3,8,1,25,1,27,1,8,1,26,2,29,1,8,1,27,1,25,1,29,2,28,1,29,1,27,1,30,1,27,1,29,1,30,1,27,1,29,1,30,1,27,1,30,1,28,1,26,1,28,2,27,1,29,1,27,1,28,1,26,1,28,71,6,1,28,88,30,1,28,3,6,1,28,1,13,1,6,1,13,2,30,2,6,2,29,1,30,4,28,1,29,1,30,1,6,1,13,1,7,1,13,1,6,1,13,1,8,1,9,1,8,3,13,3,9,1,8,2,13,1,6,3,29,1,30,2,13,1,30,1,29,1,13,2,12,1,13,2,6,1,29,1,30,1,28,36,30,1,28,5,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,6,1,28,1,6,3,13,1,6,1,30,1,13,1,28,1,13,2,7,1,13,2,7,2,13,2,6,1,7,2,8,1,30,1,6,1,13,1,6,1,30,1,6,2,8,1,13,1,6,1,8,1,7,1,6,1,13,1,7,1,10,1,29,1,30,1,13,1,7,1,6,2,28,1,30,1,28,50,30,1,28,2,6,1,28,6,30,1,28,9,30,1,28,3,6,2,30,2,28,1,6,1,28,2,30,1,6,1,28,2,30,1,28,3,13,1,30,1,28,2,30,2,28,2,30,1,28,3,30,3,28,1,6,2,13,2,30,1,6,3,30,1,13,2,6,1,13,3,9,1,13,1,9,1,8,1,9,2,11,1,9,1,6,1,7,1,6,1,28,4,6,1,29,2,28,1,6,1,29,1,28,1,30,2,7,1,29,1,30,1,29,3,26,3,25,1,8,1,13,1,24,1,8,1,24,2,8,1,11,1,12,1,9,1,11,1,10,2,12,2,9,2,11,1,12,3,17,4,12,1,10,1,9,1,24,1,8,2,13,3,7,1,6,1,13,2,6,1,8,1,7,5,6,2,25,2,6,2,30,1,8,1,13,2,7,3,6,1,8,1,13,2,24,1,6,1,27,1,28,9,6,1,28,75,29,1,28,2,30,1,29,1,27,1,30,1,29,1,6,1,25,2,24,2,12,1,24,1,12,1,10,1,12,1,24,1,12,1,10,1,17,7,12,1,17,4,12,1,17,14,11,2,17,1,11,1,12,1,17,2,12,1,17,1,11,2,17,1,12,1,11,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,11,1,12,2,17,1,12,1,11,1,10,1,11,1,10,2,11,1,17,1,11,1,12,2,17,1,9,1,11,3,10,1,11,2,10,1,11,1,10,1,17,1,9,1,8,1,11,1,8,1,12,2,8,1,9,1,10,1,8,2,9,1,10,1,24,1,12,1,10,1,9,1,8,2,9,1,10,3,24,1,10,1,12,1,9,2,24,1,8,1,24,1,10,1,8,1,24,1,12,1,9,1,24,1,10,2,8,1,12,1,9,2,10,1,24,1,8,1,13,2,7,1,24,1,8,1,10,1,13,1,8,2,24,1,8,1,9,1,10,1,9,1,10,1,12,1,17,24,12,1,17,4,16,2,5,74,28,11,9,1,17,3,9,1,8,1,29,2,30,1,6,1,30,2,29,1,13,3,7,1,9,1,10,1,13,1,28,5,6,1,17,1,10,1,8,1,28,1,30,1,28,29,30,1,}, {29,1,30,1,28,12,30,1,28,2,29,1,30,2,6,2,30,2,6,1,29,1,28,4,30,1,28,2,30,1,28,1,6,1,9,1,24,1,10,1,12,1,17,5,9,1,7,1,13,2,29,1,13,1,14,3,9,1,16,1,17,1,11,1,17,1,15,1,10,1,7,1,8,1,7,1,10,1,11,1,9,1,6,2,13,3,30,1,10,1,17,1,10,1,17,1,29,1,13,3,8,1,9,1,12,1,17,3,7,1,13,1,9,1,24,1,6,2,30,1,28,2,30,1,28,21,13,1,9,2,13,1,24,1,12,1,14,1,7,1,28,1,30,2,29,1,28,1,29,1,13,1,12,1,15,1,10,1,24,1,8,1,9,1,7,1,13,1,9,1,13,1,29,1,7,1,29,1,6,1,13,1,9,1,8,1,14,2,8,1,28,2,6,1,28,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,7,1,13,1,8,1,6,1,13,3,9,1,13,1,30,1,6,1,28,1,6,3,28,1,30,1,28,2,30,1,6,1,28,2,30,1,28,2,7,1,28,3,6,1,29,1,28,1,30,2,29,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,30,2,28,7,30,1,28,3,30,1,28,5,29,1,28,1,30,1,28,9,30,1,28,2,13,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,13,1,30,1,28,4,29,1,28,2,30,1,28,2,30,3,29,1,28,1,6,1,13,1,28,1,6,1,30,1,28,4,6,2,30,1,28,5,6,1,28,1,30,1,6,1,30,1,13,1,28,1,30,1,29,1,28,10,6,2,13,4,7,2,13,2,7,2,13,2,9,1,8,1,9,1,16,1,11,1,16,1,17,23,9,1,13,1,29,1,30,1,28,65,30,1,28,6,29,1,28,4,30,1,7,1,8,1,24,2,10,1,12,1,24,1,9,1,13,1,6,1,30,1,28,9,29,1,28,1,8,1,12,2,10,1,17,4,16,1,5,3,33,124,5,133,33,2,28,11,6,1,13,2,6,1,28,73,30,1,28,6,29,1,28,1,6,1,13,1,7,1,8,1,13,1,7,1,8,1,24,1,8,1,9,2,10,1,24,2,10,1,12,1,9,1,24,1,17,1,24,1,12,3,24,2,8,1,24,1,8,1,9,1,24,1,12,2,11,1,9,1,12,1,10,1,12,1,11,2,9,1,11,1,17,1,16,1,5,14,6,1,30,1,28,3,6,1,28,1,30,1,28,1,29,1,6,1,13,1,28,5,6,1,28,18,30,1,13,1,24,1,12,1,9,1,17,3,28,1,5,7,16,1,17,1,9,1,12,1,9,1,11,1,12,1,11,1,16,1,17,10,16,1,17,2,16,1,17,1,9,1,11,1,17,1,11,1,12,1,17,7,9,1,30,2,28,1,29,1,28,6,29,1,13,1,11,1,16,1,5,17,13,1,6,1,30,1,28,14,30,1,28,1,6,2,13,1,7,1,24,1,8,2,9,1,17,1,9,1,13,1,6,1,13,2,8,1,6,1,13,3,7,1,9,1,8,2,7,1,13,1,28,9,7,1,28,7,13,1,8,1,12,1,8,1,9,3,10,1,8,1,28,31,6,2,13,1,8,1,10,2,17,1,10,1,12,1,9,1,11,2,16,2,11,1,16,1,11,1,12,1,10,1,12,1,9,6,8,1,9,1,13,1,8,3,24,1,13,1,9,1,8,2,24,1,13,5,6,2,30,1,6,2,29,2,30,1,28,1,30,2,29,1,30,2,29,1,30,1,6,1,28,1,29,2,28,1,29,1,30,1,29,1,30,1,7,1,6,3,29,1,6,2,30,1,6,1,13,1,30,1,6,1,13,5,24,1,8,2,13,1,8,1,24,1,13,1,7,1,13,3,7,1,8,1,6,1,13,1,7,2,6,1,29,2,28,1,29,1,30,2,28,1,30,4,28,1,29,1,28,1,6,1,29,1,28,1,29,2,28,1,29,1,13,1,6,2,28,1,7,1,13,1,7,1,6,2,13,4,24,1,13,1,8,1,13,2,9,1,8,2,9,1,11,1,9,1,13,1,10,1,11,1,12,1,17,1,11,1,12,3,8,1,12,1,8,1,11,1,9,1,11,1,12,1,10,1,9,2,17,1,9,1,13,1,10,1,9,1,8,1,9,1,8,1,9,1,10,1,11,2,9,2,11,1,9,1,11,1,9,1,17,1,9,1,11,2,17,1,12,1,17,10,11,1,17,4,12,1,17,1,12,1,17,2,11,1,17,2,16,3,11,1,17,1,16,3,17,1,16,2,17,4,16,1,17,10,16,1,17,1,16,1,17,17,16,1,17,17,8,1,6,1,13,2,6,1,13,1,8,1,6,1,8,1,27,1,26,1,6,1,25,1,6,1,25,1,6,1,25,2,6,1,7,1,6,1,29,1,24,1,6,1,8,1,26,1,25,1,8,1,24,1,29,2,25,2,27,3,25,1,26,2,6,1,26,1,6,1,30,1,29,1,30,1,25,1,30,1,29,2,30,1,29,1,27,1,30,1,27,1,30,1,28,1,29,1,28,1,30,1,29,1,28,1,30,1,28,70,30,1,28,85,30,1,28,6,29,1,13,1,29,1,6,4,30,1,28,1,30,2,6,1,30,1,28,2,7,1,6,1,30,1,6,2,13,2,9,2,11,1,9,1,13,2,7,1,13,1,8,1,9,1,13,1,6,1,28,4,30,1,28,2,30,3,29,1,7,1,11,1,28,1,6,1,30,1,29,1,28,40,30,2,28,11,30,1,28,5,30,1,28,3,29,1,6,2,13,2,30,5,6,2,29,1,7,1,6,1,30,1,10,1,13,1,6,1,8,1,30,1,13,1,7,1,6,1,13,2,29,1,6,1,8,1,13,4,7,1,13,1,9,1,13,1,7,1,13,1,7,1,13,1,6,1,13,1,6,1,8,1,28,4,6,1,28,38,13,1,28,8,30,1,28,4,30,1,28,5,29,1,28,7,30,1,28,3,30,1,28,1,29,1,30,1,6,1,28,2,6,1,7,1,30,1,29,1,28,4,30,1,28,6,30,1,28,8,30,2,29,1,30,1,28,1,30,1,6,1,30,1,6,1,30,2,7,1,13,1,29,1,13,1,6,1,13,2,8,1,13,1,8,2,9,1,10,3,8,1,6,2,28,3,30,2,29,1,28,1,30,1,29,1,30,1,6,1,29,1,6,3,29,1,27,1,29,1,27,2,8,2,25,1,8,1,24,1,8,1,10,1,8,3,12,2,10,2,12,2,10,2,12,1,10,2,12,1,11,1,17,4,11,1,9,1,10,1,24,3,8,1,13,1,8,1,13,1,8,1,13,1,8,2,13,2,6,1,8,1,7,3,25,1,30,1,29,1,7,2,29,3,6,1,13,1,7,1,8,1,7,2,8,1,13,1,6,2,29,1,30,1,29,1,30,3,28,2,30,1,28,75,30,1,28,1,27,1,28,2,27,1,29,2,25,4,8,1,10,2,17,1,24,1,10,1,8,1,17,1,8,1,10,1,17,5,16,1,17,4,11,1,17,18,12,1,17,2,12,1,11,1,17,1,12,1,17,1,12,2,11,1,12,1,17,2,12,1,17,3,11,1,17,1,12,1,17,1,12,1,17,1,11,5,17,1,9,1,17,1,11,1,17,1,11,1,17,1,10,1,12,1,11,1,17,1,11,1,9,1,11,1,12,2,11,1,9,1,11,1,10,1,12,1,10,1,24,1,9,3,12,1,8,3,7,1,13,1,10,2,9,1,12,1,9,1,10,1,8,1,10,1,8,1,10,1,24,1,9,1,10,1,8,1,10,1,9,1,10,1,11,1,9,1,12,1,13,1,24,1,9,1,24,1,10,3,9,1,24,1,8,1,13,1,24,1,13,1,8,1,10,1,8,1,10,1,7,1,10,1,24,4,9,1,10,2,12,1,17,24,12,1,17,2,11,1,17,1,16,1,5,76,28,11,16,2,17,2,9,1,13,1,6,1,7,1,30,4,7,1,13,1,7,1,6,1,13,1,8,1,10,1,7,1,28,5,13,1,17,1,8,1,13,1,28,1,6,1,28,1,29,1,28,28,}, {30,1,6,1,28,11,30,1,28,5,6,1,29,1,30,1,6,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,29,1,28,3,6,1,13,2,12,1,24,1,17,2,12,1,17,3,9,1,7,1,13,1,7,1,29,1,8,1,17,2,16,2,11,1,16,1,12,3,8,3,13,1,9,1,15,2,9,1,8,1,7,2,13,1,8,2,16,1,12,1,9,1,8,2,13,1,7,1,13,1,9,1,12,1,17,2,24,1,13,1,9,1,8,1,13,2,6,1,28,25,7,1,13,1,8,1,13,1,24,1,7,1,10,1,6,1,30,1,6,1,30,1,28,1,29,1,30,1,6,1,9,1,17,1,9,2,8,1,10,1,8,1,13,2,7,3,8,1,13,1,7,1,8,1,10,1,12,1,14,1,24,1,28,1,30,1,28,9,30,1,28,2,6,1,13,4,8,1,13,2,30,1,6,1,13,1,30,1,6,1,13,4,6,4,30,2,28,1,30,2,28,5,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,3,6,1,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,3,29,1,30,2,28,3,30,2,28,2,29,1,28,5,30,1,28,5,6,1,30,1,28,1,29,1,30,1,28,5,30,1,28,1,6,1,28,5,30,1,28,1,6,1,28,1,30,2,28,3,29,1,28,2,30,1,29,1,28,2,6,1,28,1,29,1,30,1,28,1,6,1,30,2,28,2,30,1,29,1,30,3,28,1,6,2,30,1,6,1,28,1,13,1,28,1,30,1,6,1,29,1,28,1,29,1,13,1,6,1,28,1,29,1,30,1,13,3,6,2,7,2,6,1,8,2,13,1,9,2,8,1,9,1,16,1,17,1,11,1,17,9,9,1,17,1,12,1,17,9,16,2,6,1,29,1,30,1,28,59,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,9,8,2,10,2,12,1,24,1,9,4,13,1,6,1,28,6,30,1,28,1,26,1,29,1,13,1,24,1,9,1,16,1,17,1,16,1,5,3,33,127,5,132,28,8,6,1,13,1,6,1,28,3,29,1,28,21,30,1,28,54,30,1,28,1,30,1,28,3,29,1,28,1,30,1,13,1,29,1,7,3,8,1,6,1,9,1,24,1,10,1,24,1,10,1,12,1,8,1,24,1,8,1,12,1,10,1,12,1,8,1,17,1,24,1,8,1,24,1,9,1,24,1,11,1,8,1,12,1,11,2,10,1,12,1,11,1,12,1,8,1,11,3,17,2,5,17,6,1,28,7,30,1,6,1,13,1,30,1,28,4,7,1,6,1,28,16,29,1,30,1,6,1,8,1,9,1,24,1,9,1,17,2,16,1,28,1,5,6,16,1,17,1,11,1,17,1,9,1,17,1,11,3,17,17,12,1,10,1,16,1,11,1,17,7,11,1,10,1,6,3,28,1,29,1,28,1,29,2,30,1,13,1,9,1,16,1,5,13,13,1,5,1,13,1,6,1,28,11,30,1,13,1,7,1,30,1,29,1,6,3,8,3,12,1,10,1,9,1,17,1,11,3,10,1,9,1,8,2,9,1,10,1,24,1,11,1,9,1,8,2,10,1,13,1,9,1,12,1,28,9,13,2,28,7,10,2,9,1,10,1,9,2,12,1,28,14,30,1,28,16,30,2,13,2,8,1,10,3,9,1,17,1,11,1,10,1,12,1,11,2,10,1,16,1,11,1,9,1,12,1,11,1,9,3,8,1,13,1,9,1,13,1,8,2,9,4,24,1,8,3,9,1,13,1,10,1,8,1,13,1,9,1,8,1,9,1,10,1,8,3,13,1,8,2,6,2,28,1,30,1,28,1,30,2,28,1,30,3,28,1,29,1,30,1,6,1,29,2,7,1,28,1,30,1,6,2,28,1,30,1,13,1,6,1,13,1,7,1,29,1,13,1,8,2,13,1,8,1,24,1,10,1,13,1,8,1,9,1,7,1,13,1,24,1,8,1,13,2,8,1,13,2,8,1,30,1,13,1,6,1,30,1,6,3,30,1,28,1,29,1,28,1,6,1,28,1,30,3,29,1,28,1,6,1,30,2,6,2,28,1,29,1,6,4,13,1,7,3,13,2,7,1,8,1,13,1,9,1,13,1,8,2,16,1,12,1,10,1,9,1,17,1,11,2,10,1,12,1,9,1,17,1,9,1,24,1,12,1,24,1,12,1,8,1,10,1,12,1,10,1,8,1,10,1,9,2,11,2,24,1,10,1,9,3,11,1,10,1,13,1,9,4,8,1,11,1,17,2,16,1,17,2,12,1,17,3,12,1,17,3,11,1,17,3,11,1,17,8,11,1,17,5,16,1,11,2,17,1,16,1,11,1,16,2,17,1,16,2,17,3,16,1,17,2,16,1,17,13,16,1,17,1,16,1,17,29,11,1,13,1,29,1,13,1,6,1,8,1,13,1,8,1,7,1,25,1,8,1,29,1,8,1,27,1,25,1,8,1,6,1,25,1,30,1,8,2,25,1,24,1,8,1,25,2,8,1,26,1,27,1,8,1,24,1,26,1,27,1,26,1,25,1,26,1,6,1,26,1,30,1,6,1,26,1,30,1,27,1,25,1,30,1,27,2,29,2,30,1,27,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,20,30,1,28,53,30,1,28,91,6,1,28,2,6,1,30,2,28,2,30,1,28,1,30,1,28,2,29,1,6,1,30,1,6,1,29,1,30,1,7,2,8,2,11,1,9,1,13,3,8,1,13,1,10,1,8,1,13,1,28,8,30,1,28,4,30,1,13,1,9,1,30,1,28,1,30,1,28,45,30,1,28,7,30,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,28,2,7,1,30,1,13,1,30,1,28,1,13,1,30,4,29,1,30,1,6,2,30,1,13,1,6,2,13,2,6,2,13,1,6,1,7,1,6,1,13,1,7,2,13,1,7,1,6,1,7,2,13,2,8,1,13,1,7,1,6,1,13,1,7,2,30,1,29,1,6,1,28,9,29,1,28,35,30,2,28,1,30,1,28,5,29,1,28,2,30,1,28,14,30,1,28,2,6,2,28,1,30,2,28,1,13,1,28,5,6,1,28,1,6,1,30,1,28,3,30,1,28,1,6,1,28,1,30,1,28,2,29,1,28,4,30,1,28,2,6,1,30,1,6,3,7,1,6,1,13,2,29,2,13,3,9,1,13,1,11,1,9,5,8,2,24,1,13,1,6,2,7,1,6,1,7,1,6,1,7,1,6,1,29,1,8,1,26,1,25,2,29,1,26,1,25,3,7,2,8,1,24,1,8,1,9,1,24,3,8,1,10,1,12,1,10,2,9,1,11,1,9,2,11,1,12,1,16,1,17,5,12,3,24,2,8,1,13,1,10,1,13,1,24,1,8,1,24,2,7,1,24,2,7,2,13,1,7,2,6,4,7,2,6,1,7,2,8,1,13,1,8,4,7,2,30,1,29,1,6,1,30,1,28,1,30,1,28,2,6,1,28,71,30,1,28,4,29,2,28,2,26,1,28,1,27,2,25,1,6,1,25,1,8,1,12,1,8,1,24,1,12,1,10,1,9,1,24,1,9,1,17,1,12,3,17,29,12,1,17,3,12,1,17,1,12,1,17,5,11,1,10,1,17,4,12,1,17,1,12,1,17,1,12,2,17,1,12,1,11,2,10,1,17,2,11,1,17,1,11,1,10,1,12,1,9,1,12,1,10,1,11,3,9,1,12,1,11,1,12,1,10,4,9,1,12,1,10,2,24,1,10,1,12,1,11,1,9,1,24,1,9,4,8,3,10,1,8,1,12,1,8,1,9,1,12,1,8,1,10,2,24,1,8,1,13,1,9,1,8,1,10,1,8,1,12,1,9,1,24,4,12,1,8,1,24,2,9,1,12,1,24,1,8,2,24,2,12,4,17,24,12,2,17,3,16,2,5,76,6,1,28,10,29,1,11,1,17,3,9,1,13,2,29,1,30,1,6,1,30,2,6,1,8,1,6,1,8,1,9,1,10,1,17,1,6,1,28,5,6,1,14,1,11,1,7,1,28,2,30,1,29,1,28,27,8,1,}, {28,1,6,1,28,10,30,1,28,4,30,1,28,1,6,1,13,2,28,1,29,2,30,1,28,1,30,1,28,2,6,1,28,2,29,1,30,1,29,1,9,1,24,1,12,1,8,1,9,1,11,1,17,3,13,1,7,3,13,1,8,1,17,2,10,1,9,1,10,1,16,2,9,1,15,1,9,1,13,2,7,1,9,3,8,1,13,4,6,1,13,1,17,1,8,1,9,1,24,1,9,1,6,1,13,1,9,1,8,1,12,1,17,2,24,1,9,1,8,1,13,1,8,1,7,2,30,1,28,1,30,1,28,21,30,1,6,2,7,1,24,1,8,1,9,2,7,1,30,1,6,1,30,3,6,2,12,1,17,2,9,1,8,2,13,1,8,2,7,1,13,1,7,2,6,2,8,1,24,1,9,1,15,1,8,1,29,1,28,13,30,1,13,1,8,1,13,2,8,1,13,2,6,1,29,1,6,1,13,2,6,2,13,2,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,29,1,6,2,29,1,6,2,28,1,29,1,28,2,30,1,28,3,29,1,28,2,30,1,28,3,6,1,29,1,28,1,29,1,28,1,29,1,28,1,30,1,28,1,29,1,28,1,6,1,28,4,30,1,28,6,29,1,28,1,30,1,28,1,30,1,6,1,30,2,28,1,30,1,29,1,28,1,30,1,28,2,30,4,28,5,29,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,29,1,28,1,13,1,28,4,30,1,28,1,30,1,6,2,28,2,30,1,6,1,28,1,30,2,29,1,6,2,30,1,6,1,30,2,29,1,13,1,30,1,13,1,29,1,30,1,28,1,13,1,28,1,13,1,6,1,29,1,8,1,13,1,6,2,13,1,6,1,8,1,6,2,13,2,6,1,13,1,8,1,13,1,9,1,13,1,9,1,11,3,17,11,16,1,17,9,9,1,13,1,29,1,6,1,28,33,30,1,28,44,30,1,8,1,24,1,9,1,10,1,12,1,10,1,17,1,9,1,12,1,17,3,9,1,11,1,9,2,8,2,7,1,8,1,27,3,25,1,10,1,24,1,16,2,5,2,33,130,5,128,28,2,30,1,28,91,30,1,28,2,30,1,28,1,6,1,30,1,13,1,7,1,30,1,6,1,7,2,24,1,8,1,24,1,12,1,24,1,10,1,24,2,10,1,8,1,12,2,11,2,12,1,10,1,9,1,12,1,9,1,24,2,12,1,11,1,17,1,12,2,10,1,12,1,11,1,9,1,12,1,11,1,17,1,11,1,17,1,9,1,5,19,13,1,30,1,28,6,6,1,13,1,9,1,30,1,28,3,6,1,29,1,28,16,30,1,28,1,6,1,29,1,6,1,8,1,10,1,9,1,12,1,17,1,11,1,30,1,5,5,16,1,11,1,17,4,11,1,17,2,16,1,11,1,17,15,11,1,9,1,16,1,12,1,17,2,11,3,17,1,11,2,13,1,6,1,13,1,7,1,30,1,7,1,6,1,7,1,29,1,30,2,24,1,10,1,16,1,5,12,13,1,6,1,28,12,30,1,8,1,10,1,8,2,24,1,8,1,9,1,8,2,10,2,12,1,11,1,16,2,10,1,9,1,16,1,11,1,9,1,10,1,11,1,9,1,10,1,11,1,16,1,10,1,11,1,16,1,9,2,10,2,24,1,28,8,30,1,13,1,24,1,28,6,8,1,24,1,11,1,10,1,11,1,10,1,28,16,29,1,28,15,6,1,13,3,8,1,9,1,11,1,12,1,11,1,12,1,9,1,11,1,16,1,11,1,9,1,17,1,9,1,16,1,11,1,10,1,12,1,11,1,8,1,9,2,8,1,9,5,13,1,9,1,8,1,9,1,10,2,17,1,16,1,8,1,10,1,11,1,9,1,11,1,9,1,11,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,1,7,1,29,2,6,1,29,1,30,1,28,2,30,1,6,2,29,2,7,1,29,1,6,4,29,1,6,1,7,1,30,1,13,3,7,1,13,2,8,1,24,1,8,1,24,1,8,3,17,1,24,1,8,1,24,1,13,3,8,4,6,2,7,1,13,1,6,1,29,1,6,2,13,1,29,2,6,1,7,1,30,1,29,1,30,1,7,1,28,1,7,2,30,1,13,1,6,1,30,1,7,1,13,1,6,1,7,1,13,2,6,1,7,1,6,1,7,1,24,1,6,1,9,1,8,1,11,1,9,1,11,1,12,1,9,1,11,1,8,1,10,1,16,2,10,1,11,1,16,2,9,1,12,1,17,1,11,1,9,1,24,1,12,1,9,2,8,1,9,1,11,2,9,1,8,1,13,1,8,2,9,2,10,4,17,1,11,1,9,6,17,3,11,1,17,8,12,1,17,1,12,1,17,1,9,1,17,8,11,1,17,1,11,1,17,1,16,1,17,1,16,2,17,2,16,1,11,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,4,16,1,17,1,16,1,17,16,16,1,17,25,12,1,13,1,8,2,24,1,13,1,8,1,13,1,6,1,8,1,25,3,8,1,6,1,27,1,8,1,25,1,8,1,7,1,25,1,8,1,25,1,26,1,25,1,26,2,25,1,27,1,28,1,25,1,8,2,27,2,25,1,27,1,24,1,27,1,25,1,27,1,29,1,26,1,30,2,25,1,30,2,29,1,28,1,30,1,29,1,30,1,28,2,30,1,28,167,30,1,28,1,30,1,28,2,6,1,28,4,6,3,30,1,28,1,30,2,29,1,13,2,9,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,29,1,28,16,6,1,28,1,7,1,28,52,30,1,28,8,6,1,28,1,30,2,28,1,6,1,7,1,29,1,6,2,30,2,28,1,13,1,30,1,28,1,6,1,7,2,6,1,13,4,6,1,9,1,6,4,13,1,7,1,6,1,13,1,8,1,13,1,6,1,8,1,13,2,7,1,6,1,13,3,29,1,13,2,28,1,30,2,28,67,30,1,28,4,29,1,28,3,30,2,6,1,7,1,28,1,13,1,28,3,29,1,28,1,30,1,28,3,30,2,28,1,30,3,28,4,30,1,28,3,6,1,30,1,28,3,6,1,30,1,6,1,28,1,6,2,8,1,13,1,7,1,13,3,30,1,7,1,8,1,13,1,10,1,9,1,8,1,10,1,12,1,9,2,8,2,24,1,7,1,8,1,24,2,8,2,6,1,7,1,8,1,6,1,8,2,25,1,8,1,6,1,25,1,8,1,24,2,13,1,9,1,8,2,24,2,9,1,10,1,24,1,9,1,11,1,9,2,11,1,12,1,11,2,12,2,17,4,12,2,10,1,12,1,9,1,8,1,9,1,24,2,13,1,8,2,24,1,6,1,13,1,7,1,13,3,7,2,13,2,6,1,25,1,29,1,8,1,13,1,8,1,13,1,8,1,7,1,8,1,7,1,24,1,8,3,13,1,7,1,30,1,6,1,30,1,28,2,6,1,28,77,30,1,28,2,30,1,25,1,26,1,25,2,27,1,25,2,24,2,8,1,24,2,17,1,24,1,9,1,12,3,11,1,12,1,17,1,11,1,17,11,12,1,17,8,16,1,17,5,11,1,17,3,12,1,17,6,12,2,10,1,17,1,9,1,17,3,12,1,17,2,12,1,11,1,12,1,17,1,10,1,12,1,11,1,17,2,12,1,10,1,17,1,10,1,9,1,10,1,11,3,9,1,11,1,9,1,11,1,12,1,9,1,12,1,10,1,9,2,11,1,24,1,10,2,12,1,9,2,10,1,9,1,11,1,24,1,8,1,24,1,12,1,8,3,10,1,24,1,10,2,9,1,11,1,10,2,24,1,9,1,8,1,9,1,12,1,11,1,24,1,13,1,10,1,24,1,13,2,24,1,8,1,12,1,8,2,24,1,10,1,9,1,12,1,24,1,10,1,9,1,10,1,12,1,11,1,10,1,12,1,17,14,12,1,17,2,12,2,10,1,17,2,12,2,11,1,12,2,17,1,16,3,5,78,6,1,28,11,9,1,17,2,11,1,9,1,8,1,13,1,6,1,7,1,6,1,30,2,6,1,8,1,13,1,8,1,24,1,12,2,7,1,28,5,9,1,14,1,11,1,8,1,30,2,28,1,29,1,28,27,13,1,}, {6,2,28,8,30,1,28,4,29,1,28,2,6,1,29,1,6,1,28,1,6,1,30,2,29,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,9,2,24,1,9,2,12,1,17,3,24,1,7,1,13,2,29,1,13,1,17,2,9,1,13,1,8,1,11,1,16,2,9,1,15,1,13,2,7,1,8,1,15,1,11,1,8,2,6,1,13,3,24,1,17,1,9,1,24,1,8,1,24,1,8,3,9,1,16,1,17,3,8,3,9,1,13,1,6,1,28,1,30,1,28,2,30,1,28,19,29,1,6,1,13,1,7,1,6,2,24,2,8,1,29,1,7,1,29,2,6,1,29,1,6,1,15,1,17,1,12,1,24,1,13,1,8,1,7,1,8,1,24,1,7,1,13,1,30,1,9,1,6,1,7,1,8,1,24,2,15,1,24,1,28,2,30,1,28,7,30,2,28,2,30,1,9,1,8,1,9,1,13,4,6,2,13,2,6,1,13,2,6,1,13,1,30,1,6,1,13,1,28,1,6,1,29,2,13,1,28,2,6,1,29,1,6,1,30,2,28,2,30,3,28,2,6,1,28,1,30,1,6,1,28,1,29,1,28,1,6,1,28,1,30,1,28,1,29,1,28,3,29,1,28,1,29,1,28,2,30,1,28,14,30,2,28,2,6,1,28,4,30,1,28,8,30,1,28,1,30,3,28,1,30,1,29,1,28,1,13,1,6,1,28,1,30,3,28,2,30,2,6,1,29,1,30,1,13,1,30,1,28,1,6,1,28,1,30,2,29,1,6,1,28,1,6,3,28,2,30,1,29,2,6,2,13,1,6,1,28,1,6,1,29,1,6,1,13,1,6,1,8,1,13,1,8,1,13,1,8,1,6,1,29,1,13,2,6,2,13,2,9,1,13,2,16,1,9,1,16,3,17,5,16,1,17,1,12,1,17,2,12,1,11,1,17,7,9,1,13,1,30,1,29,1,28,55,30,1,28,23,24,2,10,1,12,1,8,1,10,1,17,3,10,1,9,1,17,5,10,1,17,1,10,1,9,1,24,1,13,1,7,1,24,2,8,1,11,1,16,1,5,1,33,133,5,124,13,1,28,2,30,1,28,20,30,1,28,68,30,1,28,6,6,1,30,1,6,1,29,1,30,1,6,1,8,1,9,1,8,1,24,1,8,1,9,1,24,1,8,1,9,1,24,2,10,1,9,1,10,1,11,1,10,1,17,1,9,1,12,1,9,2,24,2,12,2,11,2,12,1,11,1,17,1,10,1,11,2,12,1,11,1,16,1,17,1,5,22,13,1,30,1,28,6,30,1,8,1,24,1,6,1,28,3,9,1,30,1,28,15,30,1,28,1,29,1,30,1,6,1,13,1,10,1,13,1,12,1,11,1,17,2,9,1,5,4,16,2,11,1,12,1,10,1,11,2,12,1,10,1,11,1,17,1,12,1,17,1,16,1,17,12,11,1,10,1,11,1,12,1,17,3,16,1,17,2,16,1,13,1,9,1,13,2,8,2,13,2,29,1,28,1,29,2,30,1,10,1,17,1,5,11,28,1,11,1,28,12,29,1,13,1,10,1,17,1,9,1,10,2,9,1,10,1,8,1,12,1,17,1,11,1,12,1,11,1,16,1,9,1,16,2,17,1,16,1,17,2,16,1,10,1,11,1,9,1,16,1,9,1,10,1,9,2,16,1,10,1,12,1,9,2,28,7,6,1,7,1,8,2,28,5,6,1,24,1,8,1,13,1,9,1,28,15,30,2,7,1,6,1,30,1,28,13,30,1,13,1,24,2,9,1,10,1,9,1,10,1,11,1,9,2,17,1,11,1,10,1,11,1,16,3,17,1,12,1,9,1,17,1,9,3,8,1,10,1,9,2,10,1,9,1,10,1,9,2,10,1,9,2,11,1,10,1,12,1,10,1,12,1,10,1,12,1,17,1,9,1,11,1,9,1,8,1,13,1,8,1,13,1,7,1,13,1,8,1,13,2,6,1,28,1,6,3,13,1,7,1,6,2,28,1,6,3,7,1,6,1,13,1,6,1,7,1,6,1,13,2,8,2,6,1,13,1,8,5,10,1,24,2,12,1,9,1,13,1,24,1,8,1,24,2,8,1,13,2,8,2,13,2,6,2,13,1,6,2,29,1,13,1,29,1,7,1,30,2,13,1,29,1,8,1,30,1,13,1,29,1,6,2,7,2,6,2,13,3,8,1,13,1,6,1,8,3,9,1,10,1,13,1,10,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,12,1,11,1,12,1,8,1,9,2,11,1,9,1,12,1,13,1,9,1,10,1,9,6,13,1,16,1,9,1,13,1,9,3,8,1,12,1,8,1,9,2,10,1,13,2,11,1,17,10,12,1,17,2,12,1,17,4,11,1,17,3,11,1,17,6,16,1,17,1,16,1,17,1,11,1,17,1,16,1,17,1,16,3,11,1,17,1,11,1,16,1,17,2,16,3,17,1,16,1,17,1,16,1,17,1,16,1,17,16,16,1,17,26,11,1,9,1,8,1,6,1,24,1,8,2,25,1,7,2,8,1,25,1,6,1,7,1,25,1,8,1,24,1,6,2,25,3,8,2,25,1,24,1,8,1,26,1,25,1,8,1,27,1,25,2,27,1,25,1,27,1,29,1,25,1,26,1,25,1,27,1,29,1,26,1,29,1,30,1,27,1,29,1,27,2,30,2,28,2,29,2,30,1,28,7,30,1,28,166,29,1,28,2,6,1,30,1,6,1,30,1,7,1,30,1,6,1,9,3,13,1,8,2,13,1,8,1,13,1,8,2,13,1,6,1,28,20,30,1,28,42,30,1,28,4,30,1,28,3,30,1,28,8,6,1,30,1,29,1,28,2,29,1,8,1,30,1,6,1,30,4,6,1,28,1,6,1,30,1,7,1,13,1,6,3,13,2,29,1,13,1,6,1,13,2,6,1,7,1,13,1,7,2,13,2,6,1,7,1,13,1,30,1,7,2,6,1,7,1,8,1,6,1,13,2,7,2,6,1,28,2,30,1,28,60,30,1,28,14,30,2,29,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,9,30,1,29,1,30,1,29,1,6,1,30,1,13,1,6,1,7,2,30,1,13,1,7,2,13,1,7,1,13,2,8,2,9,1,13,1,17,1,9,1,10,2,9,2,8,1,10,1,24,1,8,1,13,1,8,1,24,1,13,1,24,2,8,1,7,1,24,2,8,3,24,1,8,1,13,1,24,1,9,1,24,1,9,3,12,1,10,1,11,1,9,1,10,1,12,1,11,1,12,2,10,1,12,1,17,7,12,1,17,2,24,1,12,1,8,1,24,1,8,1,24,1,8,1,7,1,8,3,13,2,8,1,25,1,8,1,25,2,7,1,25,1,8,1,6,1,8,2,7,1,8,1,13,3,8,1,13,2,24,1,6,1,7,1,29,2,30,1,28,79,30,1,28,1,29,1,28,1,30,1,29,2,26,1,8,1,25,1,8,2,7,1,25,1,24,1,12,1,24,1,12,1,10,1,12,1,10,1,12,2,17,1,10,1,17,1,11,2,17,5,12,1,17,1,11,1,17,1,11,1,17,2,11,1,17,7,10,1,17,1,12,1,17,2,11,1,17,1,12,1,10,1,11,1,17,8,12,1,17,1,12,1,17,1,12,1,17,2,12,2,10,1,17,1,11,1,10,2,12,1,11,1,17,1,11,2,12,1,11,1,9,1,10,1,11,1,10,1,9,1,12,1,9,1,12,1,10,1,11,1,17,1,11,1,10,2,11,1,24,1,10,1,9,1,17,1,9,1,8,1,24,1,9,1,8,2,24,1,9,1,10,2,9,1,24,2,8,1,9,1,10,1,24,1,10,1,9,1,10,2,9,1,24,2,9,1,24,1,8,1,13,1,24,1,10,1,24,2,10,1,11,1,8,1,29,1,24,1,13,1,12,1,10,1,12,1,10,1,9,1,24,1,12,1,10,3,11,1,17,18,12,1,17,1,12,4,11,1,17,1,11,1,17,2,16,1,5,81,28,11,29,1,15,1,17,2,11,1,9,2,6,1,13,2,6,1,30,2,6,2,13,1,8,1,9,1,12,2,6,1,28,5,10,1,14,1,9,1,6,1,30,1,28,1,30,1,28,28,9,1,}, {30,1,28,1,30,1,6,1,28,1,30,1,28,8,29,1,28,4,30,2,29,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,28,4,6,1,28,1,29,1,6,1,8,1,9,2,24,1,9,1,17,3,13,1,6,2,13,1,6,1,24,1,17,2,12,1,24,1,8,1,10,1,11,1,9,1,12,1,9,1,8,1,9,1,29,1,9,1,14,1,8,2,13,1,30,1,6,1,7,1,6,1,8,1,9,1,17,1,12,1,8,2,13,2,24,1,12,1,17,2,10,1,12,1,8,1,13,1,9,2,8,1,30,1,28,20,29,1,28,4,8,2,7,1,24,2,10,1,24,1,13,1,6,2,30,1,28,1,29,1,28,1,6,1,9,1,12,1,10,2,9,1,13,1,8,2,7,1,13,2,7,1,13,4,24,1,9,1,15,2,28,1,6,1,28,1,29,1,28,11,9,1,8,1,6,1,8,1,13,1,8,1,13,2,6,1,30,1,28,1,6,1,13,1,30,1,6,3,30,3,6,2,29,2,13,1,28,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,30,1,29,1,30,1,29,1,6,1,28,1,6,2,30,1,28,1,29,5,6,1,30,1,28,1,29,2,28,1,6,1,28,1,29,1,28,1,30,1,28,1,29,1,28,1,30,1,28,8,29,1,30,1,28,19,30,1,28,1,6,1,13,1,28,1,30,2,28,1,6,2,28,1,6,1,28,1,29,1,28,1,30,1,13,1,28,2,6,2,29,1,30,1,29,1,6,1,30,1,28,2,6,1,29,1,6,1,13,1,30,2,6,1,28,1,30,1,28,1,8,1,6,2,30,1,6,1,29,1,6,2,8,1,13,1,6,1,13,2,6,1,8,1,13,2,8,1,7,1,6,1,13,3,6,1,13,2,8,1,11,2,16,1,17,5,16,1,17,1,11,1,17,1,11,1,17,11,13,1,30,1,28,1,29,1,28,56,30,1,28,7,30,1,28,12,29,2,8,1,13,1,10,1,12,2,17,7,12,1,17,4,12,1,17,1,12,2,17,2,24,1,8,1,9,1,11,1,16,1,33,135,5,122,28,2,30,1,28,98,29,1,6,2,13,1,6,1,13,2,7,1,24,1,8,1,9,1,12,1,9,1,24,1,9,1,8,1,24,1,12,1,9,1,8,1,12,1,9,1,10,1,9,1,17,1,8,1,24,1,12,1,10,4,17,2,12,1,17,1,12,1,17,2,11,1,16,2,5,24,28,1,30,1,28,2,30,1,6,1,30,3,13,1,17,1,30,1,28,2,6,1,13,1,28,16,29,1,28,3,30,1,13,1,24,1,8,2,9,1,17,2,5,4,16,1,17,1,16,1,17,1,9,1,17,1,12,2,17,2,10,1,13,1,17,7,11,1,10,1,12,1,17,3,11,1,12,1,8,1,9,2,17,7,16,1,5,2,13,1,6,1,13,1,8,1,24,1,6,1,30,2,28,1,7,1,13,1,16,2,5,10,28,1,13,1,28,10,6,1,7,1,9,3,11,1,9,1,10,1,17,1,11,1,9,1,11,1,17,1,11,1,16,1,17,2,5,8,16,2,17,3,16,6,17,2,16,1,30,1,28,6,30,1,8,1,7,1,8,2,6,1,28,4,13,1,7,1,8,1,6,1,28,14,30,1,29,2,30,1,7,1,13,1,28,7,30,1,28,4,7,1,24,2,9,2,24,1,12,1,9,3,10,1,11,1,10,1,16,1,12,1,11,2,17,1,10,1,16,1,11,2,9,1,12,1,11,2,9,1,17,1,11,1,9,2,17,1,10,1,16,1,9,1,8,1,11,1,9,3,11,1,8,1,17,1,11,1,12,1,8,1,9,1,13,1,8,1,9,1,13,1,24,1,13,1,8,1,7,1,8,3,24,1,7,1,13,2,8,1,6,3,13,2,8,1,13,2,7,2,13,1,8,1,13,3,24,1,7,1,24,1,13,1,8,1,24,1,9,1,8,1,9,1,10,3,9,3,24,1,9,1,10,1,8,2,13,1,8,1,24,1,8,1,6,1,8,1,7,1,13,3,6,1,8,1,29,1,7,1,13,1,6,1,7,1,13,2,6,1,13,1,24,1,6,1,7,1,13,5,8,2,7,1,8,2,13,2,10,1,8,2,10,1,9,3,10,1,9,1,11,1,12,1,11,3,17,1,11,1,17,1,8,1,9,1,11,1,9,2,12,1,10,1,9,1,10,1,12,1,17,1,9,2,10,1,9,4,10,1,9,3,13,1,10,1,9,2,11,1,9,1,8,1,9,1,10,1,11,1,17,1,11,2,17,5,12,1,17,2,11,1,17,6,11,1,17,1,11,2,12,1,17,3,11,2,17,2,16,1,17,2,11,1,17,1,16,3,17,1,16,1,10,1,16,2,17,2,16,1,17,3,16,2,17,1,16,1,17,4,16,1,17,9,16,1,17,32,11,1,8,3,13,1,8,1,13,1,8,4,7,1,8,3,24,2,25,1,7,1,25,1,8,1,24,1,25,5,8,1,26,1,25,1,27,1,25,1,8,1,27,1,8,1,27,1,25,1,27,1,25,1,29,1,28,1,25,1,27,1,30,1,27,1,29,1,30,1,27,1,28,2,27,1,28,1,29,1,28,1,30,1,29,1,28,6,29,1,28,167,29,1,28,1,13,1,30,1,6,1,13,1,7,1,13,1,11,1,8,1,7,1,8,1,7,1,13,3,8,1,13,3,6,1,28,85,30,1,6,3,28,1,6,1,30,2,7,1,28,1,29,1,28,1,6,1,30,1,6,1,30,1,13,1,7,1,13,1,6,1,7,1,13,1,6,3,7,1,13,1,6,1,29,1,6,1,13,1,6,1,13,1,6,3,13,2,30,2,7,1,13,1,7,1,6,1,7,1,30,4,28,3,30,1,28,41,30,1,28,4,30,1,28,2,30,1,28,5,29,1,28,8,30,1,28,9,30,2,29,2,28,1,30,1,7,1,28,3,30,2,28,2,6,1,28,5,30,1,28,1,30,1,28,5,30,3,28,2,13,1,28,1,29,2,6,6,30,1,13,1,6,1,13,2,29,1,8,1,13,1,9,2,10,1,17,1,11,1,24,1,9,2,13,1,9,1,13,1,8,1,24,1,13,1,8,1,24,1,8,1,24,1,8,4,24,1,7,1,24,3,10,3,9,4,12,1,10,1,12,1,10,2,12,1,17,1,11,1,17,1,11,1,17,5,11,1,12,2,17,1,11,1,12,1,24,2,8,1,24,1,7,1,8,2,24,1,6,1,24,1,8,1,7,1,25,1,8,2,25,1,8,3,6,1,8,1,13,1,7,1,8,1,7,3,8,1,24,1,8,3,13,1,7,1,29,1,6,1,29,1,28,67,30,1,28,6,30,1,28,1,27,1,30,1,28,1,30,1,27,2,28,1,29,1,8,1,26,1,25,1,24,1,25,1,8,2,24,3,10,1,24,2,12,2,10,1,12,1,11,1,17,1,11,1,17,3,16,1,17,7,11,1,17,1,11,1,17,1,12,1,17,3,11,1,17,6,11,1,17,3,12,1,11,1,17,3,12,1,17,1,12,2,11,1,17,2,12,1,17,1,12,1,17,2,12,1,17,1,12,2,17,1,10,1,12,1,10,1,11,3,12,2,10,1,11,4,9,1,10,1,12,1,11,1,12,1,9,1,10,2,12,1,11,1,9,1,24,1,10,1,12,1,24,1,9,1,8,1,9,1,10,6,8,1,10,1,11,1,8,1,12,1,10,2,8,1,10,1,24,2,8,1,24,1,8,2,10,1,24,2,10,1,24,3,10,1,9,1,24,2,10,3,12,1,10,1,12,1,11,2,9,1,12,1,10,2,11,1,12,1,17,17,11,1,17,2,12,1,17,2,12,1,17,2,16,2,5,83,28,11,13,1,14,2,17,1,12,1,11,1,8,1,13,1,30,1,6,1,30,1,7,1,29,1,28,1,13,1,8,1,9,2,24,2,29,1,28,5,9,1,14,1,15,1,8,1,30,1,28,1,30,1,6,1,28,27,15,1,}, {30,1,28,1,30,1,29,1,28,1,30,1,6,1,28,5,30,1,28,3,29,1,28,2,29,1,30,1,28,1,29,1,28,1,30,2,6,1,29,1,28,1,6,1,28,3,6,1,29,1,28,1,6,1,8,1,24,1,9,1,24,1,12,1,17,3,24,1,6,1,29,1,7,1,6,2,17,2,10,1,9,2,8,1,12,1,9,2,24,1,8,1,24,1,13,1,9,1,14,1,10,1,8,1,13,1,6,2,8,2,6,1,12,1,17,1,24,1,9,1,8,1,13,1,8,1,13,1,8,1,17,3,9,1,8,1,13,1,8,1,9,2,13,1,28,24,30,1,13,1,7,1,6,1,29,1,8,2,24,1,13,1,6,2,29,1,30,1,28,1,29,1,6,1,12,1,8,1,9,1,8,2,13,1,6,1,24,1,7,1,8,1,13,3,29,1,8,1,13,1,9,1,12,1,15,1,13,2,28,14,13,4,8,1,13,1,9,1,30,2,13,1,28,3,30,1,28,1,30,2,6,1,28,2,6,2,30,1,29,1,7,1,13,1,6,1,8,1,6,2,28,1,13,1,28,1,30,1,29,1,6,1,28,1,13,1,6,1,28,1,29,1,6,1,7,1,30,1,6,1,29,1,28,1,29,1,28,1,30,1,28,1,30,2,29,1,30,2,28,1,29,1,28,15,30,1,28,1,30,1,28,21,7,1,28,1,6,1,28,1,6,1,28,1,30,1,29,1,30,1,6,1,28,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,6,1,30,1,13,1,30,1,13,1,6,1,7,1,6,1,13,1,29,1,13,1,6,3,13,2,6,2,7,1,8,1,6,1,13,3,7,1,13,1,8,1,13,2,6,3,13,1,11,1,16,2,17,8,12,3,17,1,11,1,17,1,12,2,17,1,16,1,17,1,10,2,8,1,6,1,28,1,30,1,28,36,30,2,28,20,30,1,28,4,30,2,28,13,7,1,24,1,10,1,24,1,12,1,10,1,17,1,12,1,17,3,10,1,12,1,17,3,12,1,17,2,12,1,17,2,12,3,10,1,17,1,9,1,16,1,5,1,33,135,5,120,28,1,6,1,28,99,30,1,6,2,7,1,29,1,7,1,24,1,13,1,24,5,12,1,9,1,24,1,10,1,9,1,12,1,17,1,10,2,17,1,9,1,24,1,11,1,9,1,10,1,9,1,12,1,17,6,12,1,17,2,11,1,12,1,16,1,13,1,5,25,6,1,28,1,6,1,28,2,7,2,30,1,29,1,8,1,9,1,13,1,28,2,7,1,13,1,28,20,30,1,7,1,8,1,9,1,8,1,9,1,17,2,16,3,8,1,11,1,17,2,9,1,11,1,12,1,17,4,6,1,16,2,17,4,12,2,9,1,17,4,11,1,10,1,9,1,10,1,17,1,10,1,17,6,16,1,5,2,6,1,13,1,9,2,24,1,7,1,6,1,29,1,30,1,6,2,13,1,11,1,17,1,5,10,6,1,28,2,30,1,28,1,30,2,6,1,13,1,7,1,24,2,10,1,12,1,10,1,11,1,16,1,11,1,17,6,16,1,17,1,5,12,33,1,28,1,6,1,5,3,33,1,5,5,9,1,6,1,28,1,29,2,6,1,7,1,6,1,8,1,13,1,8,1,24,1,8,1,7,1,30,1,28,1,30,1,29,1,7,1,13,1,28,15,30,1,6,1,13,1,8,1,13,2,30,1,28,6,30,4,7,1,13,1,24,1,8,2,12,1,9,1,11,2,10,1,17,1,8,1,11,3,10,1,9,1,16,1,9,1,16,1,10,1,11,1,17,1,10,1,16,1,11,3,9,1,12,1,10,1,17,1,11,1,12,1,11,1,17,1,11,1,9,3,11,5,9,5,13,2,7,1,8,1,13,4,8,2,13,2,24,2,13,2,6,1,13,2,8,1,13,1,24,1,8,4,13,3,8,1,13,1,9,1,8,1,24,1,10,1,9,6,11,1,8,1,9,1,8,3,9,2,13,1,8,1,13,2,9,1,13,3,7,1,8,1,7,1,13,2,7,1,8,1,7,2,24,1,6,1,13,1,7,1,13,1,24,1,7,1,6,1,8,1,7,1,8,1,24,1,13,3,8,2,9,1,7,1,10,1,8,1,9,1,11,1,8,1,10,1,8,1,12,1,11,1,12,1,16,2,11,1,9,1,17,1,12,1,17,3,10,2,11,1,12,1,9,2,11,1,9,2,12,1,9,1,16,1,9,1,10,1,9,5,12,1,8,1,9,1,13,2,8,1,9,1,11,1,17,1,11,1,9,1,17,4,12,1,11,1,17,12,12,1,17,5,11,1,17,2,11,1,12,1,16,2,11,1,16,2,17,1,11,1,16,3,11,1,16,13,17,1,16,1,17,2,16,4,17,1,16,1,17,3,16,2,17,34,13,1,8,1,13,1,24,2,8,1,13,1,24,2,25,1,8,1,25,1,8,1,25,1,24,1,25,1,24,1,8,3,25,1,8,1,26,1,8,1,26,1,25,5,27,2,8,1,27,1,8,1,25,3,27,1,30,2,27,1,30,1,28,1,27,1,25,1,29,1,30,1,27,2,28,1,29,1,28,2,29,1,28,2,30,1,28,71,30,1,28,99,6,4,13,1,17,1,9,1,10,1,8,1,13,3,9,1,13,2,11,1,13,2,30,1,28,69,30,1,28,14,6,1,28,1,29,1,30,1,13,1,28,1,29,1,28,1,30,1,6,2,28,2,30,4,28,1,13,1,6,2,30,1,13,2,7,1,13,1,6,1,7,3,13,3,7,1,13,3,29,1,13,1,6,1,13,1,7,1,13,1,28,1,30,1,7,2,13,1,6,1,7,1,30,1,28,1,13,1,28,3,30,1,28,37,30,1,28,15,30,1,28,2,29,1,28,1,30,1,28,3,30,2,28,1,30,2,28,6,30,1,28,1,6,1,28,3,29,1,30,1,28,4,29,1,6,1,30,1,28,7,30,1,28,8,29,1,28,1,7,1,30,2,13,1,6,2,13,1,6,1,13,2,6,2,29,1,6,1,13,2,8,2,13,2,8,1,11,1,12,2,24,1,9,1,10,1,8,2,9,1,10,1,24,2,10,1,8,2,9,1,8,1,24,1,9,1,13,1,24,4,9,2,10,1,12,6,17,1,12,1,11,1,12,1,24,1,17,1,12,2,17,7,12,1,9,1,12,1,9,1,24,1,8,1,24,2,8,4,7,1,6,1,8,1,7,1,13,1,7,2,8,1,7,1,8,1,7,1,8,1,24,1,8,2,6,1,7,1,13,1,8,4,24,1,13,1,8,1,6,1,28,1,29,1,28,63,30,2,28,9,29,2,30,1,28,1,29,1,30,1,26,1,30,1,8,1,25,2,26,1,25,1,24,1,8,1,6,1,24,2,10,2,24,1,17,1,12,1,10,1,17,3,12,1,17,11,11,3,17,2,12,1,17,6,11,1,17,5,12,1,17,2,12,1,11,1,12,2,17,1,12,1,17,1,11,1,17,1,11,1,12,1,17,2,12,1,17,1,11,1,17,2,11,1,12,1,11,3,12,1,11,1,17,1,10,1,17,1,9,1,8,1,10,1,11,2,10,3,12,1,9,1,10,1,12,1,11,1,9,1,10,2,9,1,10,1,12,1,10,1,24,2,9,1,11,1,8,1,24,1,10,1,24,2,10,2,9,2,10,1,9,2,8,1,10,1,8,2,9,1,10,1,9,2,24,1,11,1,13,1,9,1,8,1,24,1,10,1,24,1,9,4,10,1,12,3,9,1,10,1,17,1,12,1,24,1,11,1,10,1,17,1,12,1,17,13,12,2,17,2,11,1,17,3,12,1,17,1,11,1,12,2,11,1,17,1,16,1,5,84,28,11,13,1,14,2,12,1,17,1,11,1,24,1,8,1,6,1,7,3,6,2,13,1,7,2,8,2,9,1,13,1,28,5,9,1,14,1,9,1,30,1,6,1,28,30,9,1,}, {28,1,6,1,28,1,13,1,30,1,29,1,28,16,6,1,30,3,29,1,28,5,29,1,30,1,29,1,30,1,6,1,24,1,8,1,24,1,8,1,9,1,16,1,17,2,13,1,8,1,7,1,13,1,6,1,13,1,11,1,17,2,6,1,9,2,11,2,9,1,12,1,8,1,7,1,13,1,8,1,14,1,8,1,13,1,6,1,7,2,13,1,30,1,13,1,9,2,24,1,10,1,13,1,8,2,9,2,12,1,17,2,9,1,24,1,8,2,9,1,13,1,29,1,30,2,28,22,30,1,6,1,7,1,6,1,7,2,13,1,9,1,6,2,28,1,30,1,6,1,28,1,6,1,28,1,8,1,10,1,9,1,24,1,8,2,7,1,8,3,6,1,8,1,13,1,6,1,8,1,13,1,24,1,8,1,14,1,24,1,13,1,28,7,30,1,28,6,6,1,9,1,7,1,13,1,16,1,13,1,30,1,29,1,28,1,30,1,28,1,30,1,28,5,6,1,28,1,6,3,29,1,30,1,6,1,13,1,6,3,28,1,6,1,13,1,28,1,6,3,29,1,13,1,28,1,6,2,30,2,28,5,29,1,28,1,6,1,28,1,30,1,28,5,30,1,28,9,30,1,28,7,30,2,28,2,30,1,28,16,30,1,28,1,6,1,28,1,30,1,6,1,30,1,28,1,29,2,30,1,6,2,30,1,29,1,28,1,6,1,28,2,30,1,29,1,30,1,6,4,13,2,30,1,6,3,13,1,30,1,9,1,13,1,6,1,29,1,8,1,30,1,8,1,13,2,6,1,9,1,8,1,9,1,6,1,13,3,9,1,13,3,6,1,8,1,13,1,6,1,9,1,13,1,11,1,16,2,17,1,16,1,17,6,9,1,12,1,17,7,10,1,9,2,13,1,28,40,30,1,28,10,29,1,28,15,30,1,28,8,29,1,28,2,30,1,7,1,8,1,24,1,8,1,24,1,10,2,24,1,13,3,7,1,24,1,8,1,13,1,17,6,12,2,17,3,9,1,12,1,17,1,16,1,5,1,33,137,5,117,28,100,29,2,30,1,28,1,29,1,13,2,7,1,24,1,8,1,9,1,24,1,10,1,24,4,8,1,12,1,9,1,12,1,9,2,10,2,24,1,9,1,10,1,9,1,17,2,11,1,12,1,17,1,11,1,12,1,17,4,11,1,16,1,17,1,16,1,5,27,13,1,28,1,13,1,30,1,28,1,30,1,28,1,30,2,13,1,24,1,9,1,28,1,7,1,10,1,6,1,28,21,29,1,30,1,13,1,24,1,8,1,9,1,17,2,8,1,13,1,10,1,12,1,17,1,11,1,16,2,11,1,17,3,11,1,16,1,13,1,9,1,16,1,17,1,11,4,17,3,12,1,16,1,9,1,8,1,12,1,11,2,9,1,17,5,16,1,5,4,28,1,11,1,8,1,24,1,6,1,29,2,30,1,6,1,9,1,12,1,16,1,5,10,13,2,6,1,13,1,8,1,7,1,8,2,9,2,8,1,17,1,12,1,9,1,17,2,16,1,17,2,11,1,6,2,28,1,6,1,5,28,13,2,8,1,6,1,8,1,24,1,8,1,9,1,13,1,8,1,24,2,8,1,13,2,6,1,8,1,28,16,30,1,13,1,9,1,24,1,8,1,13,2,28,5,7,1,29,1,6,1,29,1,13,2,8,1,10,1,24,1,10,1,24,1,9,1,12,1,9,1,8,1,10,1,9,1,11,1,10,1,11,2,10,1,16,1,9,1,11,1,16,1,11,1,16,2,10,1,16,1,11,1,16,2,17,1,12,1,10,1,11,2,17,1,11,1,9,1,11,1,10,1,11,1,9,1,11,1,9,5,8,2,13,1,8,1,13,1,6,1,13,1,8,1,6,1,13,1,7,1,13,2,8,2,13,1,6,1,13,2,6,1,8,1,13,2,6,1,13,2,8,4,24,1,13,1,9,2,13,1,8,1,9,2,8,1,9,1,10,1,9,3,11,1,9,7,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,29,1,8,1,13,1,8,1,7,1,24,1,8,1,13,1,8,1,24,1,13,2,8,1,9,1,24,1,13,1,8,1,24,1,10,1,24,1,8,1,24,1,9,5,17,1,9,1,11,1,10,1,11,1,16,1,10,1,12,2,9,1,17,1,12,1,9,1,12,1,10,1,12,1,17,1,8,1,12,1,10,4,9,1,11,1,13,1,9,1,10,1,9,1,17,1,9,4,12,1,9,1,11,1,9,1,10,1,11,1,17,12,12,1,17,6,12,2,17,5,12,1,17,2,11,2,16,2,11,1,16,6,11,1,9,1,16,1,17,2,16,3,17,4,16,1,17,3,16,1,17,2,16,1,17,5,16,1,17,37,10,1,24,1,8,1,24,4,8,1,7,1,24,2,8,2,25,1,8,2,24,1,25,2,24,2,25,1,8,1,26,1,24,1,25,1,24,1,8,1,29,1,26,1,27,1,8,1,27,1,25,4,27,1,25,1,26,1,29,1,25,2,30,1,27,1,29,1,25,1,26,1,29,1,27,1,28,1,29,2,28,1,29,1,28,168,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,9,1,10,1,9,1,8,1,9,1,13,1,6,1,13,5,8,1,13,1,28,23,7,1,30,1,28,59,30,1,28,1,6,1,30,1,28,2,6,1,30,1,28,1,30,3,6,2,30,2,28,1,30,1,13,1,6,2,30,2,6,1,13,1,29,1,8,1,7,2,6,4,13,2,6,1,29,1,13,1,7,1,13,1,6,3,7,1,30,1,6,1,13,1,6,1,30,1,13,1,29,1,13,1,28,1,30,1,28,1,30,1,28,9,30,1,28,49,30,1,29,1,28,1,30,1,28,1,29,1,30,3,28,1,30,1,28,7,30,1,6,1,28,1,30,1,28,2,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,6,30,2,28,1,30,1,28,1,30,1,28,2,30,1,7,1,6,1,30,1,13,3,29,1,6,1,7,1,6,1,7,1,29,1,7,3,13,2,9,2,8,1,12,2,11,1,17,1,8,1,9,1,10,1,8,1,24,3,9,1,24,1,10,1,12,1,9,1,10,1,24,1,10,1,24,1,12,1,9,1,12,1,10,1,17,1,9,1,11,1,12,1,11,1,17,1,11,1,12,1,11,2,10,1,9,1,12,1,11,1,10,1,17,6,12,1,17,1,12,4,9,1,10,1,24,1,8,4,13,1,8,1,7,1,6,1,13,2,7,1,13,1,6,1,8,1,7,1,8,2,13,1,8,2,13,2,8,1,13,1,8,1,9,1,24,1,8,2,6,1,13,1,7,1,28,59,30,1,28,1,30,1,28,7,29,1,28,1,30,1,28,2,29,1,30,1,27,1,29,1,30,1,25,2,27,1,25,1,29,1,25,2,8,1,24,3,8,1,24,2,12,1,9,1,12,1,17,1,24,1,17,3,10,1,12,1,17,5,11,1,17,3,11,1,12,1,17,3,12,1,17,1,11,1,17,5,12,1,17,1,11,1,17,7,11,1,17,6,11,1,12,1,17,2,11,1,12,2,17,1,12,2,11,1,12,2,10,1,12,1,11,3,10,1,11,1,10,1,12,1,9,1,12,2,9,1,10,1,11,3,17,1,10,1,9,1,12,1,11,1,10,1,8,1,12,1,8,1,12,1,11,1,9,4,8,1,12,1,10,1,9,1,8,1,10,1,9,1,24,1,9,1,24,2,9,2,10,1,13,1,10,1,12,1,24,1,10,1,24,2,9,3,24,1,9,1,10,1,9,1,11,1,10,1,12,2,10,1,17,1,11,1,10,3,11,1,10,1,12,1,9,1,12,1,17,16,12,1,17,1,12,2,11,1,17,2,12,1,17,1,12,2,11,2,5,86,28,11,6,1,14,2,17,1,11,1,9,1,8,1,13,1,7,1,6,1,13,1,29,1,6,1,13,1,7,1,13,1,6,1,8,2,10,1,29,1,28,5,9,1,14,1,9,1,6,1,30,1,29,1,30,1,28,28,7,1,}, {30,2,28,2,30,1,6,1,29,1,28,9,30,1,28,1,30,1,28,3,6,1,28,4,6,1,30,1,6,1,30,1,29,1,28,1,6,1,30,1,29,1,8,2,10,1,9,1,24,1,11,1,17,3,8,2,30,1,13,1,7,2,9,1,17,2,10,1,9,1,8,1,9,1,10,1,12,1,8,3,7,1,24,1,14,1,11,1,7,1,13,3,30,1,29,1,7,1,12,2,10,1,24,2,29,1,13,1,9,1,16,1,11,1,17,1,12,1,10,1,8,2,7,1,8,2,6,1,28,3,30,1,28,20,30,1,7,1,6,1,7,1,28,1,6,1,24,1,9,1,13,1,6,1,29,1,30,1,6,1,29,2,13,2,9,2,12,1,8,1,24,1,6,1,13,1,7,1,8,1,6,1,13,2,6,1,13,2,8,1,9,1,10,2,6,1,28,14,13,3,9,1,11,1,6,2,28,9,29,1,28,3,30,1,28,2,13,1,30,1,13,1,6,1,30,2,6,2,29,1,6,1,29,1,28,1,30,2,13,1,28,1,30,1,6,1,28,2,29,1,30,4,28,7,30,1,28,2,30,1,28,38,29,1,28,3,30,1,28,1,6,1,30,2,28,2,30,1,28,1,30,1,6,1,29,1,6,1,28,1,30,2,28,2,30,2,6,1,29,1,28,1,6,1,30,1,6,3,13,2,29,1,13,2,7,2,13,2,30,1,13,6,6,1,13,1,30,1,13,1,30,1,13,1,6,1,13,2,29,1,13,1,9,1,13,1,16,1,9,1,16,1,17,9,12,1,17,1,12,1,16,1,17,1,16,2,11,1,8,2,9,1,13,1,28,36,30,2,28,2,30,1,28,4,30,2,28,3,29,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,29,1,28,1,30,2,28,5,30,2,28,1,30,1,29,1,28,1,30,1,25,1,8,1,24,1,10,1,24,2,12,1,7,1,28,1,7,1,6,1,29,1,6,4,13,1,12,1,17,10,11,1,16,1,33,139,5,114,30,1,6,1,28,48,30,1,28,49,29,1,28,1,30,1,29,2,6,1,13,1,7,1,29,1,6,2,8,1,24,1,9,1,8,2,9,1,24,1,12,1,9,1,24,1,12,2,9,1,10,1,9,1,24,1,10,1,12,1,9,1,12,1,10,1,12,2,17,1,12,1,17,3,12,1,17,1,11,1,16,3,5,31,9,2,6,1,13,1,6,2,28,1,30,1,9,1,17,1,30,1,13,1,9,1,28,4,30,1,28,18,7,1,6,1,8,1,24,2,11,1,17,3,10,1,12,1,9,1,17,1,16,3,11,1,17,1,11,1,5,2,13,1,9,1,11,1,16,1,11,2,12,1,10,1,17,4,8,1,10,1,12,1,9,1,17,1,9,1,16,1,11,1,17,4,5,4,13,1,30,1,9,1,8,1,13,1,6,1,28,2,30,1,13,1,8,1,9,1,17,1,5,10,13,2,16,1,9,1,8,1,11,1,9,1,16,1,11,1,16,1,17,4,16,1,17,1,16,1,5,36,9,2,10,1,11,1,13,1,9,1,24,2,8,1,13,2,8,1,9,1,11,1,29,1,28,16,7,1,8,1,13,1,10,2,24,1,13,1,30,2,6,1,28,1,7,2,13,1,6,1,13,1,7,1,8,1,24,1,9,1,10,1,9,1,11,1,10,1,12,1,9,1,10,2,8,1,11,3,16,2,9,1,16,1,9,1,17,1,16,1,11,1,16,2,9,1,11,2,10,1,11,1,12,1,11,3,9,2,11,2,9,2,11,1,12,1,10,1,9,2,8,1,9,1,8,4,13,5,6,1,7,1,13,2,6,1,9,1,13,2,7,1,8,1,13,1,8,1,13,3,8,2,9,1,24,1,8,4,13,1,9,2,10,1,9,2,8,2,9,2,8,1,12,1,9,1,10,1,9,1,12,1,8,1,24,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,4,9,1,13,2,8,4,13,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,9,1,13,1,8,3,9,1,24,1,8,1,9,1,24,1,13,1,10,1,9,1,11,1,12,1,9,1,11,3,17,6,12,1,16,1,9,1,17,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,11,2,10,2,11,1,12,1,11,1,17,3,9,1,12,1,11,1,17,1,12,1,11,3,12,1,17,5,11,1,17,11,12,1,17,7,12,1,17,2,11,1,10,1,17,1,11,1,17,1,16,3,17,1,16,1,17,1,16,1,17,1,16,6,17,2,16,1,17,3,16,1,17,4,16,2,17,2,16,1,17,3,16,1,17,1,16,1,17,18,12,1,17,16,11,1,9,1,8,5,24,2,6,1,25,2,12,1,6,1,12,1,8,2,26,1,25,1,24,1,26,1,25,1,24,1,8,1,24,1,26,1,25,3,8,1,27,1,25,1,27,1,25,1,8,2,25,1,29,1,25,1,28,1,27,1,25,1,8,1,27,1,29,2,30,1,27,1,29,1,27,1,6,1,30,1,6,1,30,2,28,1,27,1,28,162,30,1,28,5,30,1,28,1,30,2,6,1,13,1,8,1,10,1,8,1,13,2,7,2,13,5,8,1,29,1,28,74,30,1,28,15,13,1,28,3,7,1,28,1,30,2,28,1,30,2,6,1,28,2,29,1,28,1,13,3,6,1,29,1,8,1,13,1,6,1,7,1,29,1,8,2,6,1,7,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,13,1,7,1,30,1,13,1,6,2,30,1,6,1,29,2,13,1,6,3,28,2,30,2,28,6,30,1,28,31,6,1,28,1,30,1,28,15,29,1,28,2,30,1,28,2,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,5,30,1,28,1,30,2,28,9,30,1,28,4,29,1,28,1,30,4,6,1,29,1,6,1,13,1,7,1,30,1,7,2,13,1,6,2,7,2,13,2,24,1,8,1,9,2,12,1,11,2,9,1,24,2,12,1,10,1,24,1,11,1,9,1,10,1,9,2,24,1,9,1,17,1,9,2,10,2,12,2,9,1,17,1,12,1,11,2,12,1,17,2,12,1,10,1,12,1,9,1,17,1,11,1,12,1,11,1,17,3,12,1,10,1,17,3,12,1,17,1,10,1,13,1,9,1,10,1,17,1,10,1,12,3,8,1,6,1,13,1,6,1,13,2,29,1,8,3,24,1,7,1,8,1,13,1,8,1,24,1,8,1,24,1,9,1,8,2,24,1,8,1,6,1,13,1,29,1,28,58,29,1,28,2,30,2,28,4,30,2,28,3,30,1,29,1,30,2,27,1,29,1,26,1,27,1,29,1,8,1,27,1,24,1,25,2,24,1,8,1,10,1,24,1,8,1,24,2,8,1,12,1,10,3,17,2,11,1,12,1,17,23,11,2,17,3,12,1,17,1,12,1,10,1,12,3,11,1,17,1,12,1,11,1,12,1,17,1,11,2,17,1,12,1,11,1,17,1,12,1,10,1,17,2,12,1,11,1,10,1,9,1,8,1,9,1,12,1,9,1,10,2,17,1,9,1,12,1,11,1,9,1,12,1,11,1,12,1,10,2,9,2,12,1,8,1,10,1,9,2,24,1,9,1,10,1,11,1,12,1,10,2,24,1,9,2,24,2,9,2,12,1,10,1,24,1,10,5,11,1,9,4,12,1,8,1,10,3,24,1,13,1,12,1,24,1,10,2,9,1,12,1,9,1,12,1,24,1,17,1,12,1,10,1,12,2,17,16,12,1,17,3,12,3,11,2,12,1,9,1,12,1,11,2,5,87,28,11,7,1,14,2,17,2,9,1,8,1,13,1,6,2,13,1,28,1,30,1,6,1,13,1,29,1,13,1,24,1,8,1,24,1,30,1,28,4,30,1,8,1,14,1,9,1,6,1,28,1,29,1,28,29,13,1,}, {28,2,30,1,28,1,30,1,6,2,28,3,30,1,28,2,30,1,28,2,7,1,28,1,29,1,28,2,6,1,28,8,29,1,28,1,30,1,29,1,6,1,30,1,7,1,17,1,10,1,9,3,17,3,8,1,13,1,29,1,28,1,13,1,29,1,12,1,17,3,13,1,9,1,8,1,13,1,9,1,24,1,13,1,8,1,6,1,8,1,14,1,9,1,7,1,6,2,13,1,7,1,13,2,17,1,9,1,15,1,8,2,13,1,14,1,9,1,11,2,12,1,17,1,11,1,13,1,6,1,9,1,8,2,6,1,29,1,28,4,30,1,28,18,6,3,8,1,7,1,8,1,24,1,10,1,24,1,30,1,28,2,13,1,30,3,24,1,12,1,24,2,13,1,8,2,7,1,8,1,13,1,7,1,6,1,8,1,7,1,6,1,13,1,9,3,10,1,13,1,28,3,30,1,28,9,30,1,13,1,9,2,6,1,8,1,6,2,28,18,6,1,29,2,28,2,29,1,30,1,28,3,29,1,28,3,30,1,28,8,30,2,28,1,30,1,28,1,30,1,28,2,6,1,28,13,29,1,28,3,30,1,28,23,30,1,28,1,30,1,28,5,6,1,28,1,30,3,6,1,30,2,6,1,28,1,30,2,6,1,28,1,30,1,29,3,13,2,30,1,13,1,7,1,6,1,8,1,6,1,13,2,6,2,8,1,13,1,7,1,13,1,6,1,13,1,6,1,29,1,13,1,7,1,9,1,13,2,8,2,13,2,6,1,13,2,9,2,11,2,17,13,12,1,17,1,16,1,9,1,16,1,9,1,13,1,9,1,13,1,28,1,30,1,28,44,29,1,28,3,30,1,28,1,30,1,28,3,30,1,29,2,30,1,28,13,30,2,28,1,30,1,28,1,29,1,8,1,6,1,8,2,24,3,8,1,24,1,29,1,6,1,13,1,7,1,29,1,7,1,29,2,27,1,6,1,8,1,17,10,16,1,5,1,33,140,5,111,28,102,6,1,29,2,6,1,29,1,13,2,8,1,10,1,24,1,13,1,10,1,24,2,9,3,10,1,12,1,9,1,24,1,12,2,10,1,24,1,9,1,12,1,10,1,24,1,17,2,10,1,17,1,11,1,17,4,12,2,17,1,16,2,5,36,16,1,11,2,9,1,16,2,17,1,16,1,17,1,16,1,6,1,28,23,30,1,6,1,24,1,9,1,8,1,12,1,17,6,11,1,9,1,17,2,16,1,5,3,13,1,9,2,16,1,17,3,10,1,17,2,11,1,12,2,17,1,11,2,17,1,16,1,11,1,17,4,5,6,9,2,8,1,6,2,30,1,28,1,7,1,8,1,9,1,11,1,17,1,5,11,33,1,5,1,16,1,17,2,16,2,5,1,33,1,13,1,33,1,5,40,16,2,11,1,9,1,13,1,9,2,8,2,13,1,8,1,12,1,8,1,6,1,28,13,30,2,29,1,6,1,8,1,10,1,12,1,8,1,24,1,9,1,8,1,6,4,24,1,9,1,8,1,10,1,13,2,12,2,10,2,11,1,10,1,11,2,9,1,11,1,9,2,12,1,9,1,17,1,11,2,9,1,11,1,9,1,12,1,16,2,11,2,9,1,10,1,11,1,17,1,10,3,11,5,9,2,10,1,9,1,11,1,9,1,11,2,9,2,8,1,9,1,13,1,8,1,13,2,7,1,13,5,6,1,13,1,9,1,24,1,13,1,6,1,13,2,8,5,13,1,8,1,13,2,8,1,13,2,11,1,8,2,10,1,8,1,16,1,10,1,9,2,11,1,9,1,10,1,8,1,9,2,8,2,9,3,8,2,13,1,9,1,8,1,10,1,9,1,13,1,8,3,13,3,24,2,8,1,13,2,8,2,13,1,8,1,13,1,8,2,9,1,8,3,9,1,24,1,9,2,24,1,10,2,9,1,11,1,10,1,9,1,12,1,8,1,10,1,17,1,9,1,17,1,9,1,11,5,17,1,16,1,17,1,11,3,10,1,9,1,11,1,9,2,12,1,17,13,10,1,11,1,17,4,11,1,17,18,12,1,17,1,12,1,17,4,11,3,17,1,11,1,17,1,10,1,17,1,16,6,17,1,16,2,17,1,16,1,17,3,16,1,17,3,16,2,17,1,16,1,17,3,16,3,17,1,16,1,17,3,16,1,17,1,16,1,17,2,16,1,17,31,11,1,13,1,24,1,8,1,24,1,8,1,24,2,25,1,24,1,25,1,24,1,25,1,24,1,10,1,25,1,24,1,6,1,8,1,24,1,8,1,24,1,6,1,24,2,25,1,24,1,25,3,26,1,25,1,26,2,25,4,29,2,25,1,29,2,26,1,25,1,29,1,27,2,26,1,29,2,30,2,6,1,28,1,30,1,28,167,30,1,28,1,6,1,28,1,29,1,9,1,8,1,9,1,8,1,9,2,13,1,7,1,6,1,13,1,7,1,13,1,8,1,7,1,6,1,28,93,29,1,28,1,29,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,13,1,30,1,13,2,7,1,30,1,7,2,30,1,6,2,7,1,6,1,7,1,6,1,13,1,7,1,13,2,29,1,6,2,7,1,6,1,7,1,30,2,7,1,28,1,6,2,13,1,28,1,29,1,30,1,28,2,6,1,30,2,28,5,30,1,28,33,30,1,28,13,7,1,28,11,30,1,28,1,30,1,28,4,30,1,28,1,6,1,30,1,28,1,6,1,28,6,30,2,28,1,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,6,29,1,28,1,6,1,28,1,6,1,30,1,29,1,13,2,6,2,13,1,8,1,6,1,13,1,6,1,8,1,6,1,8,1,13,1,9,1,8,1,10,2,11,1,9,1,12,1,10,1,9,1,12,1,10,1,9,1,11,1,12,2,9,1,12,1,9,2,10,1,12,3,9,1,12,1,9,1,17,1,10,1,12,1,17,1,11,1,17,1,10,1,12,1,9,1,10,1,24,1,12,1,10,3,17,6,12,1,8,1,6,1,30,1,28,9,29,1,28,1,7,1,13,1,7,1,8,1,10,1,24,1,8,1,13,1,8,1,29,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,10,1,17,3,8,1,13,1,28,59,29,1,28,2,29,1,28,3,27,1,28,2,30,1,29,2,28,1,27,1,30,1,27,1,25,1,29,1,25,2,26,2,25,2,24,3,8,1,24,1,13,1,8,1,24,1,10,4,9,1,11,1,12,2,17,1,11,2,17,9,11,1,17,2,11,1,17,1,12,1,17,2,11,1,17,1,11,2,17,11,9,1,17,2,11,1,12,1,17,2,11,1,12,2,11,1,17,1,12,1,10,1,12,1,11,2,17,1,11,1,17,1,10,1,12,3,10,1,11,1,12,1,9,1,11,1,9,1,10,1,24,1,9,1,10,1,12,1,8,1,12,2,9,2,11,1,12,1,7,1,17,1,24,1,10,3,9,1,10,1,9,1,12,1,10,1,12,1,11,1,10,1,9,2,12,1,10,1,24,2,12,4,24,1,10,1,11,1,9,1,10,1,11,1,24,1,10,2,24,3,9,1,10,3,12,2,10,1,24,1,10,1,8,1,12,2,9,1,24,1,12,2,17,18,12,1,10,1,12,1,17,2,12,1,17,2,9,2,5,88,13,1,28,11,13,1,15,1,14,1,17,1,11,1,24,1,8,1,13,1,30,1,29,1,30,1,29,2,6,2,8,1,9,1,10,1,8,1,9,1,28,6,11,1,14,1,24,1,29,1,6,1,28,30,6,1,}, {6,1,28,1,29,2,30,1,28,9,30,1,28,1,30,2,7,1,30,2,28,1,29,1,6,2,30,2,29,1,30,2,28,4,30,1,28,1,6,1,8,1,10,1,9,2,16,1,17,3,9,1,6,1,7,1,13,2,6,1,9,1,17,2,9,2,12,1,11,1,12,2,15,1,8,1,13,2,6,1,14,1,10,1,8,1,6,2,7,1,8,1,6,1,13,1,9,1,12,1,24,1,8,2,12,1,13,1,9,2,11,1,17,3,8,2,13,1,8,2,30,1,28,2,30,1,28,21,30,1,6,1,7,2,8,1,7,1,8,1,14,1,10,1,30,1,29,1,28,1,30,1,29,1,30,1,29,1,13,1,24,1,10,1,15,1,24,1,8,1,13,1,6,1,8,1,13,3,7,1,13,1,8,1,13,1,24,1,15,2,9,1,7,1,28,7,30,1,28,1,30,1,28,3,30,1,13,1,9,1,13,1,8,1,13,1,6,1,13,2,6,1,13,1,6,3,30,1,6,1,30,1,6,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,7,30,1,28,5,30,2,28,1,30,1,28,4,29,1,30,3,28,1,29,1,28,1,6,1,28,2,29,1,28,1,6,1,30,2,28,5,30,1,28,3,30,1,28,5,30,1,28,13,30,3,6,1,30,1,28,1,30,2,6,1,28,1,30,1,6,1,30,1,6,1,13,1,28,1,30,1,29,1,13,1,30,1,6,1,7,1,6,2,29,1,30,1,6,1,29,1,13,1,30,1,6,3,13,1,6,1,13,3,6,1,13,1,9,1,13,1,6,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,6,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,7,2,13,1,8,1,9,2,11,1,16,1,17,9,16,1,17,2,13,1,12,1,16,1,17,1,13,1,9,1,8,1,6,1,30,1,28,38,30,1,28,1,30,1,28,5,30,1,28,1,30,1,6,1,28,3,30,1,28,2,30,1,28,2,29,1,30,1,28,8,30,1,29,1,28,1,30,1,28,1,29,1,28,2,6,1,29,1,25,1,8,1,24,2,8,1,24,3,13,1,6,1,29,2,7,1,13,1,6,1,30,1,6,2,24,2,12,1,17,6,16,2,5,1,33,142,5,109,30,1,28,101,30,1,28,2,30,1,6,1,13,1,7,1,13,1,8,1,24,2,8,1,9,1,24,1,9,1,10,1,12,1,9,2,12,1,24,1,9,1,12,1,9,2,24,1,12,1,11,1,12,1,17,1,10,1,12,2,17,1,11,1,17,6,16,2,5,41,33,1,13,1,33,1,5,2,16,2,17,1,16,1,13,1,28,22,30,1,8,1,9,1,8,1,9,1,17,1,12,1,17,3,12,2,16,1,17,2,5,6,16,1,17,4,11,1,17,2,11,1,9,1,10,1,9,1,17,2,11,1,17,6,5,6,16,1,9,1,13,1,30,1,6,1,30,2,13,1,24,1,10,1,17,2,11,1,5,61,30,1,9,1,8,1,9,2,8,1,24,1,8,1,10,1,12,1,8,1,28,15,6,1,13,1,24,1,13,1,24,1,9,1,10,1,9,2,24,1,10,1,7,1,13,2,6,1,9,1,12,1,8,1,13,1,8,1,24,1,10,1,12,1,11,1,9,1,12,1,9,4,10,1,11,1,9,1,17,1,11,1,12,1,11,3,12,1,9,1,16,1,12,1,11,1,10,1,11,2,10,1,16,1,10,1,11,1,16,5,11,1,16,2,9,1,16,1,9,1,11,2,9,1,11,1,13,1,9,1,8,1,13,1,8,1,13,2,8,1,13,2,7,1,13,1,6,1,13,2,7,1,24,1,13,2,6,1,13,2,6,1,9,1,13,1,8,2,9,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,11,2,9,1,10,1,8,1,9,4,11,1,9,6,8,1,9,8,8,1,9,2,8,1,9,1,13,1,9,2,7,1,13,1,9,2,8,1,13,1,8,1,13,2,8,1,9,1,8,1,9,1,8,1,9,5,13,1,10,1,9,1,8,2,12,1,9,1,11,1,8,1,9,1,17,2,11,1,10,1,11,2,12,1,17,1,12,1,16,1,11,1,10,1,9,1,17,1,9,1,11,1,9,1,10,1,9,1,17,10,11,1,12,1,17,5,12,1,17,20,11,1,17,2,10,1,17,3,11,1,17,1,11,1,16,1,17,1,10,1,17,1,11,1,16,1,17,2,11,1,16,1,17,1,16,1,17,1,16,1,17,1,16,3,17,1,16,1,17,2,16,1,17,3,16,1,17,8,16,1,17,2,16,1,17,1,16,1,17,3,16,1,17,9,12,1,11,4,17,1,12,1,17,1,11,1,17,16,8,1,7,1,8,1,24,1,8,3,25,1,24,1,8,2,26,1,8,1,24,1,25,1,24,1,25,1,6,1,24,1,6,1,24,1,8,2,24,2,26,1,8,1,25,1,26,1,25,1,24,1,25,1,27,1,26,2,27,1,29,1,25,1,30,1,27,1,29,1,30,1,27,1,29,1,25,2,29,1,26,1,30,1,6,2,28,1,26,1,28,1,30,1,28,8,30,1,28,64,30,1,28,96,13,2,9,4,13,5,7,1,13,3,7,1,28,92,30,1,28,1,30,2,28,1,7,1,29,1,28,3,30,1,29,1,28,2,30,1,13,1,6,1,13,1,6,3,30,1,6,2,7,1,13,2,30,1,8,1,30,2,6,1,13,2,6,1,8,1,7,1,6,3,13,1,29,1,6,2,29,2,30,1,7,1,13,1,6,1,30,1,28,2,6,1,28,1,30,1,28,36,30,1,28,17,30,1,28,1,30,1,28,4,30,3,28,1,6,1,28,2,6,1,30,2,28,4,30,1,13,1,28,3,30,1,28,10,30,1,28,11,30,1,28,2,30,1,29,1,6,1,28,1,30,1,6,1,13,1,29,1,6,1,13,2,7,2,13,2,6,2,13,1,6,1,8,1,13,1,24,1,7,1,9,1,17,1,12,3,10,1,12,3,17,1,12,1,17,1,12,1,17,1,24,1,12,1,8,1,9,1,12,2,11,1,12,1,10,1,12,4,11,1,12,3,10,1,17,1,12,1,9,1,12,1,17,2,10,1,12,1,8,1,13,1,28,21,30,1,29,1,8,1,13,1,8,1,13,1,8,1,24,1,8,1,24,1,9,1,8,1,28,5,29,1,28,59,30,3,28,1,29,2,30,1,28,1,26,1,27,1,30,1,29,1,25,1,29,1,30,1,26,1,27,1,8,1,27,2,25,5,24,2,6,1,24,1,8,1,24,2,9,1,13,1,8,1,24,1,12,2,9,2,11,1,10,1,11,1,12,1,16,1,17,2,16,1,17,4,11,1,17,3,11,1,17,2,12,1,17,1,12,1,11,1,17,14,10,1,17,2,11,1,12,1,17,3,12,2,9,1,11,1,17,2,11,1,17,1,11,1,17,1,12,1,11,1,9,1,11,1,9,1,10,1,11,1,10,2,9,1,11,1,10,1,24,1,12,2,10,2,9,1,10,1,9,2,11,1,9,1,11,1,10,1,9,1,10,1,12,2,11,1,12,3,9,1,24,1,9,1,10,4,24,2,12,1,10,1,12,1,10,2,11,1,9,1,24,1,10,1,9,1,10,1,24,1,9,1,10,1,9,1,10,2,9,1,12,1,11,2,12,3,10,2,12,1,10,1,12,1,9,1,11,1,17,1,12,1,17,11,12,1,17,4,11,1,17,1,12,1,11,1,12,1,17,1,12,1,10,1,8,1,6,1,30,1,9,1,5,89,30,1,28,11,13,1,15,1,14,1,17,1,10,1,8,1,13,1,6,1,13,1,6,1,30,1,29,2,6,1,9,1,13,1,9,2,24,1,12,1,28,6,11,1,14,1,15,1,29,4,28,28,8,1,}, {30,2,29,1,28,2,30,1,28,4,6,1,30,1,28,1,6,1,28,3,29,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,29,1,6,1,30,2,28,1,29,1,30,1,29,1,6,2,8,1,10,1,8,1,9,1,16,1,12,1,17,2,16,1,6,2,7,1,8,1,7,1,24,1,14,1,17,1,12,1,8,1,9,1,24,2,11,1,9,1,24,1,13,1,6,1,7,1,10,1,14,1,8,2,7,2,6,1,7,1,6,1,9,1,17,1,12,1,10,1,9,1,8,1,13,1,9,2,16,1,17,2,12,1,8,1,7,1,8,2,24,1,28,1,30,1,28,23,30,1,13,1,7,2,6,1,13,1,10,1,15,1,8,1,6,1,28,1,29,1,28,1,30,1,6,1,29,1,8,1,15,1,9,1,12,1,9,1,13,2,6,2,7,1,6,1,13,1,6,1,13,2,24,1,11,1,15,1,14,1,15,1,8,1,28,2,30,1,28,2,30,1,28,3,30,1,28,4,13,2,6,1,13,2,6,1,13,2,29,1,30,1,6,1,28,1,30,1,28,11,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,5,30,1,28,2,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,29,1,28,2,30,1,29,1,30,1,29,1,7,1,6,3,30,1,28,5,6,1,28,6,30,1,28,2,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,29,1,28,2,30,1,28,3,6,1,28,2,29,1,28,1,30,3,28,1,6,5,13,1,6,2,13,1,30,1,13,1,6,2,7,1,6,1,30,1,6,1,30,1,6,1,13,2,28,1,13,3,6,2,13,3,8,1,6,3,8,1,13,1,7,1,13,5,9,1,13,1,7,1,6,1,9,1,13,3,10,1,13,1,16,1,11,1,16,1,17,1,11,1,17,4,9,1,11,1,17,3,16,1,17,1,12,1,11,1,12,1,9,1,10,1,9,1,7,1,28,43,29,2,6,2,7,3,28,1,6,1,28,1,30,1,28,1,30,1,28,1,29,1,28,5,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,13,1,8,2,13,1,24,1,13,1,6,1,24,1,9,2,8,1,12,1,10,1,8,1,6,3,25,1,12,1,10,2,17,1,10,1,17,4,16,1,17,1,5,1,33,143,5,107,30,1,28,99,30,1,29,1,30,1,29,3,7,2,6,1,13,1,6,1,8,2,7,1,8,1,24,5,12,2,24,2,9,2,12,1,9,1,10,1,9,1,12,1,17,1,12,2,17,2,12,1,17,1,12,1,17,5,16,1,5,49,28,1,13,1,9,1,16,1,9,1,10,1,6,1,28,20,13,3,8,1,9,1,11,2,17,2,12,1,17,2,16,1,5,7,9,1,17,1,16,1,17,3,16,1,11,1,9,1,10,1,9,1,10,1,17,1,12,1,9,1,17,5,5,7,16,1,9,1,13,1,7,1,30,3,7,1,13,1,11,1,17,2,33,1,5,59,28,2,9,1,13,1,7,1,8,1,24,1,10,1,17,1,9,1,28,14,29,1,13,2,24,1,9,1,11,1,9,1,11,1,10,1,9,2,12,1,13,1,9,2,24,2,9,1,10,1,12,1,17,1,24,1,12,1,9,1,12,1,10,2,12,2,11,2,12,1,8,1,12,1,10,1,11,1,9,1,11,1,10,1,11,1,17,1,11,2,12,1,9,1,12,1,11,1,16,1,10,1,11,1,10,1,11,1,16,1,17,1,16,1,5,6,17,2,16,2,17,1,16,1,11,2,9,3,8,1,9,1,13,1,8,1,7,1,13,1,8,4,13,1,6,1,13,1,9,1,13,3,8,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,7,1,13,1,8,1,9,5,10,1,9,5,11,1,9,7,8,1,9,1,8,1,9,4,8,1,9,4,8,1,9,1,13,1,8,1,13,1,8,1,10,1,9,1,8,2,9,1,8,1,9,1,8,1,9,1,8,2,9,1,8,1,9,1,11,1,8,1,24,1,9,1,8,1,10,1,9,1,8,1,10,2,9,1,12,1,9,1,12,1,9,2,16,1,12,1,11,1,12,1,16,1,17,1,11,6,17,1,16,1,17,2,11,1,17,9,11,1,17,6,12,1,17,13,12,1,17,5,11,1,17,6,12,1,17,2,11,3,9,1,16,1,17,1,16,1,11,1,16,1,17,1,11,2,17,1,16,1,17,1,16,4,17,1,16,2,17,3,16,2,17,2,16,1,17,10,16,1,17,3,16,1,17,1,16,1,17,1,16,1,17,9,12,1,11,2,17,2,11,1,17,2,12,1,17,4,12,1,17,10,8,1,13,1,24,1,8,3,24,1,8,2,7,1,8,1,24,1,8,2,24,1,8,1,25,1,24,1,7,1,25,2,6,1,25,2,8,2,25,3,27,1,26,2,25,1,27,1,8,1,25,1,29,1,27,2,25,1,27,2,25,1,27,2,25,1,29,1,25,1,29,3,28,1,30,1,28,2,29,1,6,1,28,162,30,2,28,1,13,1,7,1,13,1,9,1,13,3,8,1,13,1,7,1,13,3,7,1,13,1,7,1,6,2,28,93,30,1,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,1,30,2,6,1,28,1,7,1,6,1,7,1,6,1,30,2,13,1,30,1,13,2,7,1,6,1,13,4,29,1,6,1,13,1,6,1,7,1,6,2,30,1,6,2,7,1,30,1,28,1,6,2,28,1,6,1,29,1,28,1,30,1,28,2,30,1,29,1,30,1,28,41,30,1,28,10,30,2,28,1,30,2,28,4,6,1,30,1,28,2,6,1,30,1,28,3,6,1,28,1,30,4,28,8,29,1,28,1,30,2,28,4,6,1,28,7,30,1,28,3,30,2,28,1,30,2,6,1,28,1,13,1,6,1,30,1,13,1,6,1,7,2,6,1,13,1,7,2,13,2,8,1,9,1,13,1,9,1,11,1,9,1,12,1,17,4,12,3,10,4,17,1,12,3,17,1,12,1,17,3,10,1,13,1,8,1,7,1,30,1,28,2,30,1,28,2,30,1,28,31,13,1,8,1,10,1,8,2,29,1,28,70,29,1,27,2,29,1,27,1,29,1,27,1,30,1,27,1,29,1,25,4,8,1,25,1,24,1,25,1,24,1,26,1,8,2,24,5,13,1,24,1,13,1,12,1,8,1,10,1,9,1,10,1,12,1,11,1,17,1,10,1,17,8,11,1,17,4,12,1,11,1,12,2,11,2,12,1,17,3,10,1,17,4,12,1,17,1,10,1,17,1,11,1,17,1,12,1,17,1,12,2,17,2,12,4,11,2,17,1,12,1,17,2,12,1,9,1,12,1,11,1,12,1,11,1,17,1,10,2,9,1,10,1,12,1,9,1,12,1,9,1,12,2,10,2,11,1,10,1,12,1,11,1,9,1,10,3,12,2,10,1,12,1,11,1,12,1,11,2,10,1,12,3,10,1,12,2,10,2,9,1,17,1,9,1,11,1,10,1,9,1,10,2,24,1,9,1,24,1,9,1,24,1,9,1,11,1,10,1,12,1,17,1,12,2,10,1,9,1,10,1,12,2,9,1,12,2,17,1,12,3,17,19,12,5,9,1,13,1,30,2,5,91,30,1,28,11,6,1,10,1,15,1,12,1,24,1,8,2,13,2,28,1,30,2,28,1,30,1,13,1,24,1,13,1,10,2,17,1,28,6,16,2,8,1,29,1,6,1,30,1,28,1,29,1,28,27,14,1,}, {29,1,28,4,30,1,28,5,6,1,28,1,29,1,28,2,29,1,30,1,28,1,30,1,28,1,8,1,29,1,30,1,6,1,30,1,29,1,28,5,30,1,28,1,29,1,28,1,29,1,8,1,24,1,13,1,24,1,17,4,13,1,7,1,6,1,7,1,13,1,8,1,12,1,17,2,12,1,8,1,9,1,8,1,24,1,9,1,11,1,9,1,13,2,8,1,15,1,14,1,13,1,30,1,6,1,30,1,8,3,12,1,16,1,12,1,8,3,24,1,9,2,16,1,17,2,12,1,8,1,13,1,7,1,8,1,24,1,28,1,6,1,28,3,30,1,28,20,7,1,13,1,8,1,7,1,13,1,24,1,14,1,13,1,29,2,30,1,29,1,28,2,30,1,24,1,15,1,9,1,8,1,9,1,8,2,13,1,8,1,6,3,7,1,6,1,13,1,9,1,24,1,10,1,14,1,9,1,8,1,30,1,28,6,30,2,28,1,29,1,28,3,13,1,8,1,13,5,28,1,30,5,28,28,30,1,28,3,30,1,28,4,30,1,29,2,28,1,30,2,28,3,29,1,28,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,6,30,1,28,3,29,1,28,2,30,1,28,1,30,1,28,2,6,1,30,1,28,1,7,1,6,2,28,1,6,1,29,1,30,1,29,2,7,1,13,1,28,1,13,1,30,1,6,1,29,2,30,1,28,1,13,1,30,1,7,1,28,1,6,1,30,1,6,1,13,3,6,1,8,2,13,1,30,1,9,1,6,1,13,1,9,1,13,5,6,1,9,1,13,1,6,1,13,1,8,1,7,1,13,2,9,1,7,2,13,1,9,1,11,2,9,1,16,1,11,1,16,1,11,2,17,1,16,1,17,1,16,1,17,2,11,1,12,1,11,2,9,3,8,1,6,1,28,39,30,1,28,3,29,1,6,1,29,1,6,3,13,1,6,2,7,1,29,1,7,1,29,2,6,1,29,1,30,1,28,1,29,1,30,1,28,1,29,2,30,2,28,1,30,1,28,3,29,1,28,1,30,1,28,1,30,1,29,1,30,1,7,1,6,1,7,1,13,1,8,2,10,1,12,1,10,1,17,1,12,2,17,1,12,1,24,1,9,1,24,1,8,1,10,1,9,1,10,1,12,1,9,1,12,1,17,3,9,1,5,1,33,146,5,103,13,1,29,1,28,54,30,1,28,43,6,1,28,1,29,2,6,4,13,1,8,1,13,2,8,4,9,1,24,2,13,1,10,2,24,1,10,1,24,1,10,1,9,1,24,1,10,1,9,1,12,1,10,1,12,1,17,4,12,2,17,1,12,1,11,1,17,2,16,1,17,1,5,53,28,1,30,1,6,1,30,1,9,1,13,2,30,1,28,15,29,3,30,1,6,1,13,1,24,1,10,1,8,1,17,3,9,1,17,1,5,8,16,2,17,5,16,1,10,1,11,2,10,1,12,1,17,6,16,1,5,7,9,1,13,3,7,1,6,2,8,1,13,1,12,1,11,1,5,1,33,2,5,57,28,1,9,1,13,1,8,1,13,1,11,1,12,1,13,1,28,14,6,1,30,1,6,1,13,2,24,1,9,1,11,1,10,1,11,1,12,1,10,1,12,1,11,2,12,1,11,1,24,1,11,2,17,2,11,1,10,1,12,1,10,2,9,1,10,1,9,1,12,1,10,1,9,1,12,1,10,1,17,1,9,1,10,1,9,1,16,1,11,1,10,1,16,2,10,1,12,1,11,1,9,1,12,1,16,2,11,1,16,2,5,16,16,1,17,1,16,2,11,1,10,1,13,2,8,3,13,1,8,2,13,3,9,1,8,2,13,3,8,1,13,1,8,1,9,2,8,1,9,2,8,2,9,2,10,1,9,3,11,1,9,2,11,2,9,5,8,2,9,3,8,1,9,6,8,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,10,1,9,1,10,1,9,1,16,1,9,2,10,1,9,6,8,2,11,1,10,1,11,1,9,1,10,1,11,1,10,1,8,1,10,1,9,1,11,2,17,1,9,1,11,1,17,2,16,1,11,2,17,1,16,1,11,1,12,1,17,1,11,1,17,17,12,1,17,29,11,1,17,4,16,1,17,1,11,1,16,2,17,2,16,1,17,1,11,1,17,2,16,1,17,5,16,2,17,2,16,1,17,4,16,1,17,6,16,1,17,2,16,2,17,1,16,1,17,4,16,1,17,2,16,1,17,7,11,3,9,1,17,1,11,3,12,1,9,1,11,1,12,1,11,1,17,2,16,2,17,8,11,1,9,1,24,1,8,1,24,1,8,4,25,1,24,7,25,2,24,1,7,1,8,1,24,3,26,2,25,1,8,2,26,1,24,1,25,1,27,1,25,1,8,1,27,1,26,1,25,3,24,1,26,1,8,1,26,1,27,1,25,1,27,1,25,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,7,30,1,28,66,30,1,28,87,30,1,28,1,30,1,13,1,9,2,8,1,10,1,11,1,8,1,13,1,7,1,8,1,13,2,7,1,13,1,7,1,13,1,30,2,28,94,30,1,28,8,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,2,13,1,29,1,13,1,6,1,30,1,6,1,29,1,13,1,6,3,13,1,6,1,13,1,6,1,8,1,6,1,30,1,13,1,7,1,6,3,7,1,30,1,6,2,29,1,30,1,7,1,13,1,29,1,7,1,6,1,28,1,29,1,28,1,30,1,28,1,6,1,28,48,30,1,28,7,30,1,28,2,30,1,6,1,28,1,6,1,30,3,29,1,30,1,28,1,30,1,7,1,30,1,13,1,30,1,28,1,29,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,12,30,1,28,1,30,1,28,7,30,2,28,1,30,1,6,1,8,1,6,2,7,1,28,1,13,2,7,1,6,1,13,2,8,4,13,1,8,1,9,1,8,1,28,3,30,1,29,1,6,1,13,1,10,1,12,1,17,1,12,2,17,2,10,1,8,1,7,1,6,1,28,45,6,1,29,1,6,1,28,67,30,1,29,1,28,2,30,1,27,2,28,1,25,1,28,1,29,1,26,1,8,1,25,2,6,1,26,1,6,1,26,1,25,1,26,1,8,4,25,1,24,1,25,1,13,1,24,1,8,1,24,1,13,1,12,1,10,1,24,2,12,1,10,1,24,1,17,1,10,1,12,1,17,1,16,1,17,2,16,1,17,5,12,1,17,2,12,1,17,1,11,1,17,3,11,1,17,2,11,1,12,1,17,6,11,2,12,1,17,1,12,1,17,1,11,2,10,1,17,1,12,2,11,1,10,1,17,1,11,1,17,1,9,1,11,4,10,1,17,1,12,1,10,1,12,1,11,1,12,1,11,1,12,1,11,1,10,1,12,1,10,1,24,1,11,1,24,1,9,1,12,1,10,1,12,1,24,1,9,1,17,1,9,1,17,1,12,1,11,1,10,1,12,2,13,1,9,1,12,1,9,1,12,1,9,1,10,2,9,1,10,1,12,2,11,1,12,2,10,2,24,1,10,1,24,1,8,1,9,1,24,2,10,2,11,1,17,2,12,3,11,1,12,2,11,1,17,1,12,3,10,1,12,2,17,16,12,1,17,1,12,1,17,1,12,2,10,1,13,1,30,1,28,1,30,1,13,1,5,92,6,1,28,11,13,1,9,1,15,1,17,2,9,1,8,2,29,2,30,1,29,1,28,1,6,2,13,1,24,1,10,1,12,1,11,1,28,5,30,1,16,1,17,1,8,1,30,1,6,1,30,1,6,1,28,28,14,1,}, {29,1,30,1,28,2,30,2,28,5,30,2,28,1,30,1,28,2,6,1,28,1,7,1,6,1,30,1,29,1,6,2,28,1,30,2,6,1,28,1,29,1,28,1,30,4,8,2,10,1,8,1,9,1,10,1,17,3,8,1,13,1,6,3,13,1,9,1,14,2,9,1,10,1,17,1,15,2,14,1,15,1,6,1,13,1,8,2,24,1,14,1,7,1,6,1,13,1,7,1,13,2,24,1,17,1,8,1,11,1,8,1,24,1,9,1,8,1,11,1,9,1,11,1,17,2,16,1,13,2,6,1,13,3,28,2,29,1,28,8,30,1,28,8,30,1,28,3,29,1,6,1,8,4,12,1,10,1,24,1,28,1,29,1,30,1,6,1,28,2,30,1,13,1,8,1,12,1,10,1,9,1,8,1,7,1,29,1,9,1,8,1,13,1,6,1,13,4,15,2,9,1,14,1,13,1,30,2,28,4,30,3,28,5,7,1,13,1,8,1,7,1,13,1,6,2,28,2,29,1,6,2,29,1,30,1,6,1,28,1,30,2,28,14,30,1,28,1,29,1,28,1,6,1,28,3,30,1,28,4,29,2,30,3,28,1,6,1,28,2,6,2,30,1,28,1,6,1,28,2,29,2,7,1,29,1,28,2,6,1,28,2,30,1,28,1,30,1,28,2,13,1,30,1,28,22,30,2,7,1,30,1,6,1,28,1,30,1,7,1,29,1,13,2,30,1,6,1,30,1,29,1,28,1,6,1,29,1,6,1,7,1,6,1,13,1,6,1,30,1,6,1,13,1,30,1,13,4,6,1,7,1,6,1,28,1,9,1,6,1,9,1,30,1,13,1,29,1,6,1,9,1,29,2,8,1,13,1,8,1,13,1,9,1,13,2,6,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,16,2,10,1,9,1,16,2,17,1,16,1,17,2,16,1,11,1,17,1,10,1,11,2,10,1,8,1,13,1,9,2,29,1,30,1,28,38,29,1,30,2,28,1,29,2,6,2,29,1,8,1,6,1,8,1,13,1,6,2,13,1,6,2,30,1,13,1,29,2,30,1,6,1,28,1,30,2,29,1,30,2,28,1,29,1,6,2,28,1,30,1,28,1,6,2,30,1,29,1,6,1,7,1,8,1,24,1,13,1,24,1,13,1,9,1,8,1,12,1,9,1,12,4,17,1,24,1,12,1,10,1,9,1,17,1,12,1,17,5,9,1,33,148,5,101,9,1,28,24,29,1,28,75,29,1,28,1,30,1,29,2,6,2,7,1,30,2,8,1,24,1,13,1,8,1,24,1,8,1,9,1,8,1,9,1,10,2,24,1,10,1,24,1,12,1,10,2,12,1,9,1,17,1,10,1,17,1,12,1,11,1,10,1,17,5,12,1,17,4,5,58,13,1,28,2,6,1,9,1,13,1,28,1,30,1,28,10,29,1,6,1,29,1,28,2,30,2,6,1,24,1,13,1,17,5,5,9,17,2,9,1,17,3,16,1,9,1,16,1,10,2,12,1,17,7,5,8,9,1,13,2,9,1,13,1,6,1,9,1,10,2,9,1,5,60,13,2,10,2,16,1,30,1,28,15,6,1,13,3,10,1,9,1,10,1,9,1,10,1,9,1,11,1,10,1,9,1,11,2,12,1,10,1,11,1,17,2,12,4,11,1,9,1,10,1,11,1,9,1,10,1,11,1,9,1,10,1,11,1,10,1,9,1,12,1,11,1,16,2,9,1,11,2,9,1,11,1,9,1,12,1,10,1,9,1,16,1,9,1,11,1,16,1,5,20,13,1,16,1,17,1,16,1,17,1,16,1,9,3,13,4,9,1,13,1,9,1,8,1,13,2,8,1,9,1,8,1,9,3,8,1,9,2,8,2,9,1,8,1,9,1,10,1,9,2,10,1,11,1,9,1,11,1,9,2,13,1,9,2,13,1,9,2,11,1,13,1,8,1,10,1,8,2,9,4,8,1,9,1,13,1,10,1,9,1,11,2,9,2,11,1,9,4,13,1,11,1,9,5,12,1,8,1,9,2,11,1,9,2,16,1,12,1,11,1,9,1,16,1,12,1,9,1,12,1,11,1,17,1,11,2,16,1,17,1,16,1,17,1,10,1,17,1,16,1,11,1,17,1,10,1,17,11,12,1,17,29,11,1,17,8,16,2,11,1,16,1,11,1,16,6,17,1,16,1,17,5,16,1,17,3,16,2,17,25,16,1,17,4,11,1,12,1,11,2,10,1,11,1,9,1,12,1,9,2,10,1,11,2,9,1,10,1,9,1,11,1,17,1,10,1,17,2,11,1,17,1,16,1,11,1,17,6,9,1,13,1,8,2,6,1,8,1,25,1,8,2,24,1,6,1,29,1,24,1,25,1,24,1,12,1,24,1,25,2,24,2,25,1,8,2,6,1,8,2,26,1,6,1,25,4,26,1,25,2,26,1,8,1,25,1,30,1,26,1,25,2,26,1,8,1,25,1,26,2,25,1,27,1,6,1,28,1,29,1,30,1,28,2,29,2,28,71,29,1,28,83,30,1,28,1,13,1,28,3,13,1,11,1,13,2,9,1,13,1,6,1,30,1,13,1,6,1,7,3,13,2,7,1,28,1,7,1,28,106,7,1,29,1,30,1,6,1,28,1,30,2,28,2,30,1,7,1,30,1,13,1,7,1,30,1,6,1,7,1,6,1,13,1,6,1,29,1,7,1,6,2,13,1,7,1,6,1,13,1,30,1,6,1,7,1,30,3,6,1,29,1,6,3,7,1,28,1,30,1,28,1,30,1,29,1,13,1,28,1,6,1,28,1,30,1,28,35,30,1,28,4,29,1,28,2,30,1,28,1,30,1,28,3,6,1,28,1,30,2,28,4,30,1,28,1,30,1,28,1,6,1,28,5,29,1,28,1,30,1,28,2,30,1,28,1,30,2,28,9,30,1,28,1,29,1,28,8,30,1,28,1,30,1,28,3,6,1,28,3,6,1,28,1,29,1,28,1,6,1,28,1,6,1,13,1,6,1,29,1,13,3,7,1,13,1,6,3,13,1,9,1,13,3,6,1,28,10,29,1,8,1,28,121,30,1,28,1,30,1,29,1,28,1,27,1,30,1,27,1,8,1,25,4,29,1,24,1,26,1,25,2,26,1,25,1,8,1,24,1,25,1,10,1,8,1,13,1,24,2,7,1,17,1,13,1,24,2,9,3,12,2,17,1,12,1,17,3,11,1,17,5,11,1,17,2,12,4,11,1,10,1,17,3,12,1,17,2,11,1,17,2,12,1,17,7,12,1,17,1,12,3,11,1,12,1,10,2,12,3,11,1,10,1,12,1,17,2,12,1,11,1,17,1,12,1,11,2,9,1,11,2,17,1,10,1,12,2,11,1,12,1,9,2,10,1,24,1,10,1,12,1,9,1,10,3,9,1,11,1,9,1,12,1,10,1,12,1,9,1,12,1,9,1,10,1,9,1,10,1,9,1,11,1,10,1,12,1,24,1,9,1,12,1,9,1,10,1,8,1,10,1,24,1,12,1,24,1,9,3,10,1,9,1,10,1,9,1,12,1,11,1,12,2,17,1,9,1,11,1,12,1,17,1,12,1,11,1,12,2,17,1,12,1,17,1,10,1,17,10,12,1,17,1,12,1,17,3,12,2,17,1,12,1,8,1,9,1,13,1,30,1,28,1,30,1,13,1,5,94,28,12,6,1,11,1,14,1,17,2,10,1,8,2,30,1,6,1,30,1,29,1,6,2,30,1,13,1,9,2,17,1,8,1,28,6,17,2,13,1,29,1,30,3,28,28,14,1,}, {29,1,6,1,30,1,29,1,30,2,28,10,29,2,7,2,6,4,29,1,30,2,28,1,29,1,28,4,6,2,30,1,6,1,9,1,10,1,8,1,24,1,9,1,12,1,17,2,9,1,6,1,7,1,6,1,13,1,6,1,10,1,17,3,9,1,11,1,14,1,12,1,15,2,24,1,8,1,7,1,6,1,9,1,17,1,13,2,7,3,8,1,13,1,8,1,12,1,16,1,9,2,13,1,24,1,8,1,10,1,8,1,17,3,24,1,8,1,13,1,24,1,8,1,7,1,30,1,28,13,30,1,28,4,30,1,29,1,28,4,7,1,8,1,13,1,8,1,9,1,10,1,9,1,13,2,6,1,30,2,28,1,30,1,28,1,13,1,12,1,10,1,15,1,24,1,8,1,9,1,13,1,6,1,8,1,6,1,30,1,13,1,7,1,8,1,24,1,8,1,15,1,10,1,12,1,13,1,30,1,28,1,29,1,28,3,30,1,28,1,29,1,28,5,30,1,8,1,9,1,8,1,13,3,30,1,29,1,13,1,30,1,28,1,13,1,6,1,30,1,6,1,29,1,30,1,6,1,8,1,13,2,28,2,6,1,29,1,28,1,30,1,6,1,13,1,29,1,13,1,28,1,29,2,6,2,30,1,28,1,6,1,28,1,30,1,6,1,28,3,6,1,28,1,30,1,28,3,30,1,28,3,30,4,6,1,7,1,30,1,28,1,6,1,28,3,29,1,28,3,30,1,28,10,30,1,28,1,6,1,28,1,29,1,28,3,6,1,28,4,6,2,28,1,30,2,28,1,29,1,28,1,30,1,28,1,30,1,6,1,28,1,6,3,29,1,6,1,13,1,30,2,6,1,30,3,6,1,30,2,13,1,28,2,30,1,28,2,30,1,28,1,6,1,13,2,30,1,13,1,6,1,13,3,9,1,13,3,8,1,13,7,8,1,9,1,13,1,8,1,9,2,8,1,9,3,17,1,11,2,17,6,11,1,9,1,11,1,9,1,11,1,10,1,8,2,6,1,28,1,30,1,28,40,30,1,28,1,13,1,29,1,13,1,6,1,8,2,7,1,8,1,7,2,6,2,29,1,24,1,13,1,7,1,6,1,7,1,6,2,30,1,6,2,30,1,29,3,30,2,28,3,30,1,28,2,24,1,6,1,29,1,6,2,8,1,7,1,24,2,10,1,17,1,10,1,9,1,17,1,9,1,17,1,12,1,17,4,10,1,12,3,17,4,11,1,33,149,5,99,13,1,28,27,29,1,28,28,30,1,28,40,30,2,28,2,29,1,30,1,6,4,7,2,13,1,24,5,13,1,8,1,24,1,8,1,9,2,10,1,24,1,10,1,12,1,9,1,12,1,24,1,17,1,12,2,11,1,12,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,16,2,17,1,5,63,30,1,13,2,28,11,6,1,30,1,29,1,28,1,29,1,30,1,29,1,30,1,6,1,8,1,24,1,8,1,9,1,17,2,16,1,5,9,16,2,17,4,16,1,11,1,9,1,17,1,9,1,17,7,5,10,9,1,13,1,9,1,16,2,5,62,9,2,10,3,28,14,30,2,29,1,8,1,13,1,10,1,24,1,9,1,8,1,9,1,12,1,9,4,10,1,11,1,12,1,9,1,17,1,9,1,11,1,17,2,12,1,17,1,11,1,12,1,10,2,9,1,11,2,12,2,9,3,12,1,9,1,16,1,11,1,16,1,11,1,9,1,10,1,11,1,12,1,11,1,9,1,10,1,11,1,16,1,9,1,16,1,5,26,13,1,16,5,17,1,16,1,9,1,8,1,17,1,9,1,13,2,8,1,9,2,10,1,8,1,13,1,10,1,9,4,8,1,9,4,8,1,11,2,9,1,11,2,13,1,9,1,13,1,9,2,13,1,11,1,9,2,13,2,5,1,16,1,5,1,9,2,11,1,16,1,11,1,9,6,11,1,9,3,10,2,9,1,11,2,9,1,11,1,9,2,11,1,9,3,17,1,8,1,11,1,17,1,9,2,12,1,11,1,17,2,10,1,16,2,11,1,17,2,11,1,12,1,17,4,8,1,11,1,10,1,11,1,17,3,11,1,17,6,11,1,17,26,12,1,17,9,16,1,11,1,16,2,11,1,17,1,16,6,17,1,16,1,17,1,16,1,17,2,16,1,17,2,16,2,17,30,11,1,17,1,11,1,8,1,10,1,12,1,24,1,9,2,10,1,9,1,24,1,9,2,11,1,9,1,11,1,9,2,10,1,11,1,12,1,17,1,11,1,17,11,6,1,8,2,13,1,8,1,25,2,6,1,24,1,8,1,24,2,8,2,25,1,8,3,24,2,10,1,8,1,24,1,25,1,24,2,25,1,24,3,25,2,27,1,8,1,25,1,8,1,25,1,8,1,27,1,25,1,8,2,26,1,25,1,29,1,27,1,26,1,29,1,30,1,27,1,29,2,28,1,30,1,28,37,30,1,28,37,7,1,28,81,6,2,29,1,28,1,29,1,7,1,11,1,10,1,9,1,13,1,8,1,13,2,6,3,13,1,7,1,13,1,6,1,13,1,7,2,30,1,28,105,30,2,6,1,28,1,29,1,28,1,6,1,28,1,30,2,13,1,30,1,29,1,30,1,6,1,29,1,6,3,7,1,6,1,13,3,6,1,8,1,7,2,6,1,7,1,30,1,13,2,29,1,6,3,28,1,13,1,7,1,30,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,28,1,29,1,28,40,30,2,28,7,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,2,7,1,6,1,30,1,28,1,30,1,28,1,29,1,30,1,28,1,29,1,28,1,6,2,28,1,30,1,6,1,28,1,30,1,28,1,29,1,28,1,6,1,28,1,30,1,28,9,30,1,28,12,30,2,28,1,7,1,28,1,29,1,28,1,6,1,29,1,30,1,7,1,13,1,29,1,7,1,13,1,29,1,8,1,7,1,13,1,8,1,13,1,9,2,8,1,13,2,7,1,28,133,30,1,28,2,29,2,8,1,27,1,26,2,27,1,26,1,8,2,26,1,8,2,25,1,24,1,8,1,24,1,8,1,10,1,24,1,10,1,24,3,8,2,10,2,24,1,8,1,12,1,8,1,17,1,9,1,16,1,17,8,12,1,17,2,11,1,17,1,9,1,12,1,10,1,17,2,12,1,17,1,12,2,17,1,11,2,17,6,11,1,17,3,11,1,17,1,11,1,17,2,11,1,12,1,17,1,12,1,11,4,12,1,11,3,17,1,12,2,11,1,17,1,12,1,10,1,17,1,11,1,9,1,12,2,11,3,9,1,12,1,9,2,11,1,24,1,10,2,8,1,10,1,9,1,12,1,11,1,9,2,10,3,9,1,10,1,12,1,10,1,9,1,10,2,12,1,8,1,12,1,13,1,10,1,24,1,9,1,10,3,9,1,10,1,9,1,10,2,9,3,10,2,12,1,17,2,12,1,17,3,12,1,11,1,17,1,12,1,10,1,17,11,12,1,17,1,11,1,17,5,11,1,16,1,9,1,13,5,5,97,28,12,29,1,11,1,14,1,17,1,12,2,24,1,7,1,30,1,6,1,28,1,6,1,29,3,13,2,8,1,17,1,10,1,28,2,30,1,28,2,30,1,16,1,9,1,29,2,28,1,30,1,28,29,11,1,}, {28,1,30,3,28,1,30,2,28,7,30,1,28,3,30,1,6,2,28,1,30,2,29,1,28,2,29,1,30,3,28,2,30,1,6,1,30,1,6,1,9,1,13,1,24,2,9,2,17,2,9,1,13,2,6,3,9,1,17,1,14,1,17,2,9,1,17,1,15,1,9,1,15,1,8,1,7,1,13,1,30,1,15,1,11,1,12,1,13,2,30,1,6,1,13,2,12,1,17,1,12,2,13,1,8,2,13,1,8,2,17,2,16,1,9,1,7,2,24,1,8,1,13,1,6,2,28,1,30,1,28,21,6,1,8,1,7,1,24,1,8,1,24,1,12,1,15,1,30,2,6,1,30,1,28,2,29,1,13,2,10,1,9,2,24,1,8,2,7,1,8,1,13,1,6,2,13,2,8,1,24,1,9,2,14,1,6,1,28,7,30,2,28,1,30,1,28,4,8,2,13,2,8,1,13,1,6,1,13,1,30,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,29,1,28,3,30,4,6,2,30,1,28,1,6,1,30,1,29,1,28,1,30,1,28,2,30,1,6,1,30,2,28,7,30,1,28,3,30,2,28,1,6,1,28,2,6,1,28,7,30,1,28,4,6,1,28,1,30,1,28,6,6,1,28,2,30,1,28,2,30,1,29,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,28,2,13,1,29,1,28,2,6,1,30,1,28,1,6,2,13,1,30,1,28,1,6,3,29,1,30,1,6,1,13,1,6,1,30,1,6,1,30,4,28,1,29,1,28,1,29,1,6,1,30,1,13,5,6,1,8,1,13,2,6,1,13,1,9,1,8,1,13,1,9,1,13,5,8,1,13,2,8,2,16,1,9,1,11,3,16,1,10,1,17,4,11,2,10,1,11,1,17,1,24,1,9,3,8,1,13,1,6,1,30,1,28,40,30,1,28,1,7,1,6,1,8,2,13,1,8,1,7,1,13,1,7,1,8,1,13,3,6,2,8,2,6,1,7,1,13,1,29,1,6,1,13,1,28,1,7,1,28,1,29,1,6,1,30,3,28,1,29,2,6,1,28,1,30,1,6,2,25,1,7,1,13,2,12,1,24,1,10,1,12,1,17,1,12,1,17,1,12,1,17,7,11,1,17,1,10,1,17,3,5,1,33,150,5,97,28,26,6,1,28,1,30,1,28,1,30,1,28,60,30,1,28,7,30,1,28,1,30,1,29,3,28,1,6,2,24,1,13,1,8,2,24,2,8,1,10,1,24,1,9,1,24,1,10,1,9,2,8,1,10,2,24,1,9,2,11,1,12,4,11,1,17,2,12,2,17,1,12,1,17,6,5,68,9,1,28,8,30,1,28,5,6,1,29,1,28,2,6,1,8,2,13,1,17,2,9,1,5,9,16,1,17,2,16,1,17,2,16,1,17,1,9,2,10,1,17,7,5,75,33,1,30,1,9,1,8,1,30,1,28,15,29,1,13,1,24,1,9,1,8,1,24,1,9,2,10,1,24,1,9,1,10,1,11,1,12,1,10,1,17,1,10,1,11,2,9,1,12,1,17,1,11,1,17,3,12,2,11,1,13,1,16,1,9,1,8,1,9,4,11,2,16,1,10,1,11,3,16,2,11,3,9,3,11,2,16,1,5,35,16,2,9,1,17,2,16,1,17,1,9,2,10,2,9,7,11,1,9,1,11,1,16,1,11,2,16,1,17,2,16,4,11,1,16,2,5,14,17,4,16,4,9,1,11,2,10,1,9,1,16,1,11,1,9,1,11,1,10,1,8,1,11,1,9,2,12,1,9,1,17,3,11,2,17,2,12,1,17,1,16,1,17,5,11,1,17,1,11,1,8,1,30,2,17,1,9,1,8,1,11,2,17,2,12,1,17,35,11,1,17,7,11,1,16,2,17,2,16,2,17,1,16,1,17,2,16,2,17,29,16,1,17,8,11,2,12,1,9,2,24,1,10,1,9,4,10,1,12,1,11,1,12,2,9,1,10,1,9,1,10,1,11,1,12,1,11,5,17,1,11,2,17,1,11,1,17,1,16,1,17,2,12,1,6,2,13,2,7,1,24,2,8,3,24,1,8,1,24,1,10,1,24,1,7,1,8,1,24,1,13,1,24,1,7,1,24,1,8,1,24,1,25,1,24,1,25,2,8,1,25,1,8,1,24,1,26,1,27,2,24,1,27,1,24,1,26,1,29,1,27,1,25,3,27,1,25,2,27,1,24,1,27,1,29,1,6,1,27,2,30,1,28,35,30,1,28,37,30,1,28,77,30,1,28,5,30,2,11,1,9,2,8,1,9,1,8,1,13,4,6,2,13,1,6,1,13,2,7,1,28,111,29,1,30,2,28,4,6,2,30,1,6,1,30,2,7,1,29,1,6,1,29,1,6,1,13,1,7,1,13,2,7,1,30,1,13,1,7,1,6,1,29,1,7,1,30,1,6,1,7,1,6,1,13,1,6,1,7,1,6,2,30,4,28,5,29,1,7,1,29,1,28,2,30,1,28,48,30,2,6,1,28,1,30,1,29,1,6,1,28,4,7,1,30,1,28,1,6,1,28,1,30,3,7,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,7,29,1,28,1,30,1,28,1,30,2,28,15,6,2,28,1,13,1,6,1,13,1,6,1,13,2,7,1,6,1,13,3,10,1,8,1,13,4,6,1,28,8,30,1,28,122,30,2,29,2,28,1,30,1,25,1,27,2,30,1,25,1,8,3,25,1,8,1,25,1,24,2,8,1,24,1,10,1,24,2,10,3,12,2,24,1,12,1,10,1,9,1,10,2,17,14,12,1,17,1,11,4,17,1,11,2,17,1,11,1,12,1,17,2,12,1,17,4,12,1,11,2,17,1,12,1,17,1,12,1,17,1,10,1,12,1,10,1,17,2,11,1,17,1,11,3,12,2,17,1,12,1,17,1,12,1,11,1,10,1,9,1,11,1,10,2,12,2,13,1,10,1,9,1,10,2,9,1,10,2,11,1,9,2,11,2,12,1,10,1,9,1,10,1,11,1,12,1,9,1,12,2,11,1,10,1,12,1,10,1,9,1,8,1,9,1,24,1,9,1,10,2,11,2,10,1,9,3,12,2,11,2,10,1,12,1,24,1,11,1,10,1,11,1,17,1,12,1,17,3,12,2,17,3,12,2,17,10,11,1,12,2,17,1,11,1,17,1,11,1,16,2,9,1,16,2,5,103,28,12,6,1,14,2,12,1,17,1,10,1,8,1,6,1,13,1,7,1,6,1,29,1,6,2,8,1,9,1,24,1,9,1,17,1,24,1,28,5,30,1,9,1,10,1,13,1,28,2,30,2,28,27,30,1,12,1,}, {28,2,6,1,28,1,30,1,28,8,30,2,28,2,30,1,6,1,7,1,6,1,30,1,7,1,6,1,7,1,30,1,13,1,6,1,28,1,29,1,28,1,30,2,28,1,29,1,6,1,7,1,13,1,12,1,10,1,8,1,9,2,17,2,12,1,7,1,13,3,6,1,12,1,17,4,15,1,14,1,11,1,24,1,10,1,9,1,13,3,9,1,16,1,9,1,6,1,29,2,13,2,7,1,9,1,11,1,9,1,13,1,8,2,13,1,9,2,8,1,11,1,17,2,8,2,13,1,24,1,13,2,6,1,28,1,29,1,28,22,30,1,24,1,13,2,24,1,8,1,24,2,13,2,28,1,7,1,30,1,28,1,30,1,6,1,24,1,8,1,15,1,8,1,13,1,8,1,13,1,7,1,8,1,6,1,7,2,13,1,7,1,9,1,24,3,14,1,8,1,28,7,30,1,28,6,6,1,8,1,13,1,6,1,13,1,8,1,13,1,6,1,28,1,30,1,28,4,30,1,28,1,30,2,28,12,30,1,28,1,30,1,28,8,6,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,6,1,30,1,6,1,13,1,30,1,28,4,30,1,28,3,30,1,28,10,30,1,28,5,30,1,28,2,29,1,28,1,29,1,28,4,30,2,28,2,6,1,28,2,30,1,29,1,13,1,30,1,6,1,28,1,30,1,6,1,28,1,6,1,29,2,6,1,28,1,13,1,7,1,28,1,29,1,6,1,7,1,30,1,29,1,6,1,13,1,6,1,9,1,6,1,13,3,9,1,13,1,8,1,13,3,8,1,13,1,9,1,13,3,7,1,13,2,8,1,13,3,8,2,13,3,8,1,9,1,8,1,13,1,8,1,9,1,12,1,17,1,11,1,17,1,16,1,17,3,9,1,11,2,24,1,9,1,11,1,9,2,6,2,28,42,6,1,13,1,7,1,8,2,13,1,6,1,24,1,13,3,29,1,8,1,24,1,12,1,7,1,6,1,13,1,8,1,7,3,8,1,13,2,7,1,29,1,6,1,29,2,6,2,29,1,30,1,6,1,7,1,6,2,29,1,30,1,6,1,26,1,6,1,8,1,24,2,12,4,17,1,11,1,17,3,12,1,17,2,12,2,11,2,17,1,16,2,5,1,33,152,5,93,9,1,30,1,28,27,30,2,28,1,30,1,28,4,30,1,28,3,30,1,28,17,30,1,28,4,30,1,28,26,29,1,28,8,30,1,28,1,29,3,6,3,24,1,7,1,13,1,8,1,24,1,8,1,24,1,13,1,8,1,10,1,9,3,8,1,10,1,24,1,12,1,10,1,8,1,10,1,12,1,11,1,12,2,17,1,11,1,17,4,11,1,17,2,11,1,17,1,12,1,17,1,10,1,17,1,5,70,13,1,30,1,28,2,30,1,28,7,30,1,28,2,30,2,6,1,30,2,8,1,10,1,9,2,17,1,9,1,5,8,16,4,17,4,11,1,9,1,10,1,17,7,16,1,5,72,33,1,6,1,30,1,9,1,6,1,28,15,30,2,13,1,9,1,8,2,9,3,24,1,9,1,10,2,12,1,9,1,11,2,9,2,10,2,9,1,17,1,11,2,10,1,11,1,17,1,11,1,10,1,11,1,9,2,11,2,9,2,17,1,16,1,11,4,9,1,16,1,12,2,11,1,10,2,9,1,11,4,9,1,5,39,13,1,28,2,13,1,5,1,33,2,13,1,9,1,16,1,11,1,16,1,9,2,13,2,28,1,30,1,28,2,6,1,9,1,13,1,30,1,28,1,33,1,5,27,11,1,13,2,9,1,12,1,9,1,10,2,11,1,17,1,9,2,11,2,9,1,17,1,11,1,12,1,17,5,11,2,12,2,10,2,12,1,11,1,17,1,9,1,30,1,28,1,30,1,7,2,10,3,9,1,10,1,12,1,17,5,12,1,17,25,12,2,17,3,12,1,17,3,12,1,17,3,11,1,17,1,16,1,17,2,16,2,17,2,11,1,16,2,11,1,17,21,16,1,17,15,9,1,11,1,17,1,9,1,8,1,12,1,8,1,10,1,12,1,24,1,9,1,24,1,10,1,9,1,8,1,24,1,9,1,12,1,9,1,10,1,9,1,10,1,12,1,11,3,12,1,11,2,17,2,11,1,16,1,17,4,12,1,13,1,7,1,6,1,7,1,6,1,7,1,25,2,8,2,24,2,8,1,12,1,8,1,12,1,25,1,8,2,25,1,8,1,24,1,25,1,24,1,25,3,6,1,25,1,8,1,25,1,26,2,27,2,25,2,26,2,8,1,29,1,27,1,26,1,27,1,25,1,30,2,6,1,27,1,29,1,6,1,29,1,30,1,29,1,27,1,29,1,30,1,28,1,29,1,28,31,29,1,28,37,6,1,29,1,28,79,30,2,6,1,10,1,8,1,9,1,13,2,8,2,13,2,6,1,13,3,6,2,7,2,29,1,30,1,6,1,28,32,30,1,28,79,30,1,28,5,30,1,7,1,30,1,6,3,30,1,6,1,30,2,6,1,30,1,13,1,7,1,6,1,7,1,13,1,29,1,6,1,13,1,30,1,7,1,13,1,30,1,7,1,6,1,29,1,13,1,6,1,7,1,30,1,6,1,28,1,7,1,6,1,28,1,30,2,29,1,30,1,28,2,6,1,30,2,28,39,13,1,28,2,30,1,28,7,30,1,28,3,13,1,28,1,30,3,28,1,6,1,30,1,6,1,30,1,28,1,30,1,6,1,28,1,6,1,28,2,30,3,29,1,28,2,30,5,28,4,30,1,28,3,30,1,28,2,30,1,28,2,30,1,7,1,28,2,30,2,28,5,30,1,28,1,30,1,28,1,29,1,30,1,7,2,30,1,13,7,7,2,8,2,10,1,9,1,8,1,24,1,29,1,28,6,30,2,28,118,30,1,28,2,29,1,28,1,30,1,29,1,27,4,8,1,25,1,8,1,27,1,24,1,25,1,8,1,10,1,24,1,8,2,24,1,8,1,9,1,10,3,8,2,24,1,8,1,11,1,8,1,9,1,12,1,24,1,17,8,12,1,17,2,11,1,17,1,12,1,17,4,11,1,17,5,11,1,12,1,11,2,12,1,17,1,11,2,17,4,12,1,11,1,17,1,11,3,12,1,10,1,12,1,10,1,17,1,12,1,11,1,17,1,12,1,17,1,12,1,17,2,11,2,17,2,12,1,11,1,12,1,10,1,12,1,10,2,11,1,12,2,10,1,8,1,12,1,10,1,11,1,12,1,10,3,9,1,10,1,9,4,8,1,10,2,11,2,9,1,12,1,11,1,10,1,12,2,10,3,11,2,9,1,11,1,10,2,12,2,10,1,12,1,8,1,10,3,17,1,9,1,17,2,11,2,17,1,12,1,17,1,11,1,12,2,17,9,12,1,17,1,12,1,17,5,16,1,5,81,33,3,5,2,33,2,5,1,33,1,5,4,33,2,5,13,28,13,13,1,14,1,16,2,17,1,8,1,6,1,13,1,6,1,28,1,30,1,28,1,30,2,13,1,8,1,24,1,17,1,16,1,8,1,28,6,17,1,9,1,30,1,28,1,30,1,28,30,11,1,}, {28,2,30,1,29,1,28,7,30,1,28,2,30,1,28,3,6,1,30,1,6,1,28,2,7,1,28,1,29,1,30,1,28,3,30,1,28,1,6,1,30,2,6,2,13,1,24,3,12,1,8,1,17,3,8,2,7,1,13,1,6,1,24,1,12,1,17,1,16,2,17,1,10,1,15,1,12,1,8,3,13,2,8,1,17,1,11,1,7,1,13,1,6,2,13,2,11,1,9,1,12,1,9,2,7,1,8,1,6,1,24,1,8,1,11,1,17,1,9,1,10,1,24,1,13,1,8,1,24,1,6,2,28,1,30,1,28,21,30,1,28,1,13,2,8,1,24,2,9,1,24,1,7,1,6,1,13,1,6,1,29,2,28,1,8,1,24,1,10,2,9,1,24,2,13,2,6,1,13,1,6,1,30,1,24,1,6,1,13,1,24,1,12,1,9,1,10,1,13,1,6,1,28,6,30,1,28,3,30,1,28,2,29,1,6,1,13,3,8,1,6,1,28,2,13,1,30,1,28,1,30,1,6,2,28,22,30,1,28,5,30,1,28,2,30,1,28,3,30,1,29,1,28,3,30,1,28,1,6,1,28,2,13,1,28,1,30,1,28,5,30,1,28,9,6,1,28,1,30,1,28,1,30,1,28,6,30,1,28,4,30,1,28,1,30,2,28,2,30,1,28,2,29,2,6,1,28,1,6,3,29,1,30,2,13,1,6,1,28,1,6,3,13,1,7,1,6,2,13,1,6,2,13,1,6,1,30,2,13,2,6,1,9,1,13,1,7,1,13,2,8,2,7,1,13,1,30,1,6,1,13,1,7,1,8,1,13,3,8,1,13,5,8,1,13,3,9,5,17,3,16,1,12,2,17,1,11,2,24,1,9,1,24,2,9,2,7,1,29,1,28,38,30,1,28,1,29,1,28,1,29,2,30,1,8,1,24,1,13,1,8,1,6,1,13,1,8,2,24,1,8,4,13,1,24,1,8,2,24,1,8,1,13,3,29,2,8,1,6,1,13,1,29,1,6,2,29,1,6,2,28,1,6,1,29,1,6,1,30,1,29,2,7,1,24,2,8,1,17,1,12,1,10,1,17,12,16,1,5,2,33,154,5,90,13,1,30,1,28,28,30,1,28,1,30,1,28,66,29,1,30,1,29,1,28,1,30,1,29,1,30,1,29,1,25,2,24,1,6,1,8,3,9,3,10,1,24,1,9,1,8,1,9,2,8,1,9,1,12,1,9,2,12,1,10,1,12,1,17,1,12,2,17,1,12,1,17,7,12,1,16,1,17,3,16,1,5,72,6,1,30,2,28,1,30,1,29,1,28,4,30,2,28,1,30,1,7,1,6,1,30,1,28,2,8,2,9,1,17,1,16,1,13,1,5,8,16,2,11,1,17,4,10,2,9,1,11,1,17,7,5,70,28,3,6,2,30,1,28,15,30,1,13,2,9,1,10,2,9,5,17,1,12,2,11,1,17,1,12,1,9,1,17,1,11,1,17,1,10,2,11,1,17,2,11,4,12,1,11,2,9,1,11,1,17,1,16,1,12,1,17,1,12,1,10,1,11,1,12,1,11,2,10,1,16,1,12,1,10,1,17,2,9,1,11,1,9,1,11,1,16,1,5,95,6,1,28,1,30,1,29,1,9,1,13,1,29,1,28,1,30,1,9,1,17,3,12,1,11,1,17,3,9,1,17,2,10,1,12,1,9,1,10,1,13,1,9,1,13,1,6,3,13,3,6,2,9,1,10,2,17,35,12,2,17,3,11,1,17,3,16,1,11,1,17,1,16,2,17,2,16,1,17,2,16,1,11,1,16,1,9,1,16,3,17,3,16,1,17,8,16,3,17,3,16,1,17,14,9,1,12,1,11,1,9,1,17,1,9,1,10,1,13,1,24,3,9,1,10,1,24,4,17,1,9,1,12,1,9,1,10,1,9,1,12,2,9,1,12,1,9,1,11,1,9,1,10,1,12,1,11,1,12,1,11,1,10,1,16,1,17,1,16,1,17,2,12,1,8,1,7,1,6,1,13,2,25,1,7,1,24,2,25,1,24,8,8,1,24,1,25,1,8,1,24,1,8,1,25,2,8,1,26,1,25,2,29,1,27,1,29,1,25,1,27,1,25,1,26,2,25,1,27,2,25,1,27,2,6,1,25,1,27,2,25,1,28,1,26,1,27,1,30,2,26,1,30,1,28,3,29,1,28,29,30,1,28,37,30,3,28,70,30,1,28,4,30,2,7,1,28,1,8,1,9,3,13,1,9,1,13,2,6,1,13,1,8,1,13,5,7,1,6,1,7,1,28,1,29,1,28,117,6,1,30,1,29,1,30,2,28,1,6,2,30,1,6,1,30,1,28,1,7,1,28,1,13,3,7,1,6,6,30,1,6,1,13,1,7,1,30,1,6,7,30,1,6,2,28,1,7,1,28,1,29,1,30,1,28,1,6,1,30,1,28,40,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,1,30,1,6,1,30,1,28,4,30,1,6,1,28,1,6,1,30,1,28,2,6,1,28,1,13,1,30,1,28,2,30,3,28,1,7,1,28,2,6,1,28,5,30,1,28,2,6,1,28,3,6,1,28,2,30,1,28,3,30,1,28,1,30,1,28,8,7,1,28,1,30,1,13,2,6,1,13,1,8,1,6,1,13,2,8,1,13,1,6,1,8,1,13,1,10,1,24,1,8,1,13,2,24,1,6,1,29,1,30,3,28,119,30,1,29,1,28,1,30,1,28,2,29,1,27,1,28,1,8,1,25,1,8,1,26,1,25,1,27,1,25,1,24,1,26,1,8,1,24,1,8,2,10,1,24,3,10,1,8,1,24,1,10,1,9,1,12,3,10,1,17,1,11,1,17,8,11,1,17,3,12,1,17,9,11,1,17,2,12,1,11,1,17,2,11,1,17,4,11,1,12,1,17,6,12,1,11,1,10,1,17,1,12,2,17,1,11,3,17,1,11,1,17,3,11,1,17,1,12,2,9,1,11,2,10,1,12,1,10,1,12,1,9,1,11,1,12,1,9,2,12,1,11,1,8,1,12,1,10,1,9,1,24,1,9,2,10,1,9,2,10,1,17,1,9,2,12,2,17,1,10,2,11,1,9,3,11,1,9,1,17,1,11,1,12,1,17,1,9,1,10,1,11,1,12,1,17,1,10,1,11,1,17,3,12,1,17,1,11,1,12,4,11,2,17,9,12,1,17,3,12,1,17,2,16,2,5,78,33,2,28,18,30,1,13,3,9,1,33,1,5,7,28,13,7,1,14,1,17,2,9,1,8,1,30,1,29,1,6,1,29,1,30,2,28,1,6,2,8,1,17,1,12,2,8,1,28,5,6,1,12,1,8,1,6,1,28,3,29,2,28,26,6,1,15,1,}, {30,1,7,1,28,9,30,1,28,1,29,1,30,1,28,3,13,1,6,1,29,1,30,1,6,1,29,1,30,2,28,1,30,2,29,1,6,1,28,1,29,1,30,1,13,1,30,1,6,2,9,1,8,1,9,1,8,1,9,1,12,1,17,1,14,1,9,1,13,1,6,1,24,1,28,1,9,2,17,1,24,1,11,1,12,2,8,1,9,2,11,1,6,3,9,1,17,1,11,1,13,1,6,1,7,1,29,1,13,1,6,1,17,1,16,1,11,1,9,1,8,1,13,1,8,3,24,1,17,3,10,2,13,1,8,1,10,1,7,1,6,1,29,1,30,1,28,21,29,1,6,3,13,2,12,1,10,1,12,1,6,1,29,1,30,1,29,1,28,1,29,1,6,1,7,1,9,1,14,1,24,1,12,1,24,1,6,1,13,2,8,1,29,1,6,1,30,1,6,1,7,2,8,1,9,1,12,1,8,1,9,1,6,1,28,10,29,1,28,2,6,1,13,3,9,2,13,2,28,1,13,1,30,2,28,15,6,3,30,1,28,3,30,1,28,1,30,2,6,2,29,1,13,1,28,2,30,1,29,1,30,1,6,1,30,1,6,1,29,1,28,2,30,3,28,1,29,1,28,1,30,1,6,1,28,1,29,1,30,1,28,2,30,1,28,2,30,1,28,1,29,1,28,7,30,1,28,2,6,1,30,1,28,2,30,1,28,2,29,1,28,1,29,1,30,1,28,1,30,1,28,2,6,1,28,1,6,1,29,1,28,1,30,1,28,1,6,12,30,2,7,1,13,2,6,2,13,4,8,2,13,5,6,1,8,1,29,1,13,1,6,3,13,3,8,1,13,1,6,1,7,1,9,1,13,1,8,1,13,1,9,1,13,2,6,1,13,1,8,3,9,1,8,1,9,1,8,1,9,2,11,1,10,1,17,2,8,1,12,1,9,1,8,1,10,1,24,1,8,2,9,2,6,1,30,1,28,41,30,1,29,1,7,2,13,4,7,1,13,1,7,1,13,1,24,1,13,3,8,1,13,1,24,3,8,2,24,2,8,1,13,1,6,1,8,1,25,1,6,1,7,1,6,1,7,1,6,1,29,1,7,2,28,2,30,1,6,1,25,3,7,1,13,2,24,1,8,1,24,1,12,2,9,1,17,8,16,1,5,2,33,156,5,87,6,1,13,1,6,1,28,27,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,8,6,1,28,1,30,1,28,6,30,1,28,20,30,1,28,14,30,1,28,8,30,2,28,1,27,3,30,1,6,1,25,1,29,1,8,3,24,1,9,1,24,1,8,1,24,1,9,1,24,1,9,2,10,1,9,2,10,1,11,1,9,1,10,1,17,1,11,1,12,1,17,10,16,1,17,3,11,1,17,2,5,75,28,1,13,1,28,2,30,1,28,5,30,1,28,1,13,1,6,3,7,1,28,1,29,1,24,1,8,1,9,1,17,1,28,1,5,9,17,2,16,1,17,3,11,1,9,2,12,1,11,1,12,2,17,4,5,68,28,4,6,1,30,2,6,1,28,14,8,1,9,1,8,2,12,1,9,2,10,1,9,1,17,3,8,1,9,1,13,1,8,1,10,1,11,1,10,1,12,1,9,2,17,1,10,1,17,1,12,1,11,1,12,1,11,2,16,1,11,1,12,2,17,1,11,1,10,1,11,2,12,1,11,2,16,1,11,1,12,2,9,2,11,2,10,1,9,1,11,1,16,2,5,97,13,2,6,2,30,1,6,2,7,1,13,2,6,2,13,1,6,1,30,1,28,2,8,2,28,1,6,2,13,4,8,2,13,1,30,1,13,1,6,1,7,2,13,1,8,1,10,2,12,2,17,2,11,1,17,26,12,1,17,3,11,1,12,1,17,8,11,2,17,2,16,1,17,1,11,1,17,1,16,2,17,1,10,1,11,3,16,1,17,2,16,1,17,7,16,1,17,1,16,2,17,1,16,1,17,7,16,1,17,8,16,1,17,1,9,1,17,1,12,2,24,1,10,2,24,2,8,1,24,2,8,1,24,1,9,1,10,1,8,1,9,1,24,1,10,3,24,1,10,1,11,2,9,2,10,1,9,1,10,1,9,1,11,1,17,1,10,1,11,1,16,2,17,1,11,1,10,1,17,2,8,1,7,2,13,1,24,1,6,1,8,1,25,1,8,2,24,1,8,2,24,1,8,2,7,1,25,1,8,1,24,1,7,1,24,1,8,2,26,1,24,1,8,1,25,1,8,1,24,1,26,1,25,2,26,1,8,1,25,2,24,1,26,1,25,1,29,1,27,1,8,1,27,1,26,1,25,1,29,1,25,2,27,2,29,1,27,1,28,2,30,1,29,1,27,1,28,69,30,1,28,2,30,1,28,39,30,2,28,2,30,1,28,26,30,1,28,1,30,2,29,1,28,1,13,2,9,1,13,1,6,1,8,1,13,1,30,1,8,1,6,1,13,3,6,1,7,1,30,1,6,1,30,2,6,1,29,1,28,60,30,1,28,61,30,1,28,1,29,1,28,2,6,2,30,1,6,1,29,2,6,1,30,1,7,1,28,1,30,1,7,1,6,3,7,2,6,1,13,1,6,1,29,1,6,1,13,1,7,1,30,1,29,1,7,1,30,1,28,1,29,1,30,1,28,1,29,1,28,1,7,1,29,1,6,1,30,1,28,2,30,1,28,35,30,1,28,4,30,1,6,1,28,7,30,1,28,1,6,1,30,1,6,2,29,1,28,1,6,1,28,1,30,1,29,1,28,1,6,1,30,1,6,1,28,1,6,1,30,2,7,1,28,2,29,1,7,1,6,2,30,1,28,1,30,1,28,1,30,1,6,1,28,3,30,1,28,2,29,1,28,1,30,1,28,4,30,1,28,6,30,1,28,2,6,1,30,2,29,2,6,2,13,1,30,1,13,3,6,1,8,1,13,1,28,1,7,1,13,2,6,1,13,1,9,2,8,1,9,1,13,1,9,1,13,1,29,1,6,1,28,2,6,1,28,62,30,1,28,56,30,1,28,1,30,2,29,1,27,1,24,1,29,1,27,1,25,1,8,1,24,2,25,1,24,2,8,1,24,1,8,1,24,1,8,1,12,1,24,2,8,1,24,1,10,2,12,1,11,1,9,1,10,1,12,1,17,9,12,1,17,1,12,1,17,1,11,1,17,3,12,1,17,2,11,1,17,1,11,1,12,1,17,4,12,2,17,2,11,1,17,4,11,1,17,3,12,1,11,2,12,1,9,1,17,1,12,2,17,1,12,1,17,1,12,3,17,1,11,1,12,1,17,2,11,1,10,2,11,2,12,1,11,2,12,1,10,1,12,4,10,1,11,1,10,1,11,1,10,1,12,1,24,1,9,1,10,1,9,1,12,1,17,1,10,1,11,1,12,1,17,1,12,3,10,1,12,3,9,1,10,1,11,2,17,1,12,3,11,5,17,3,12,1,17,1,12,1,17,3,11,1,10,1,17,12,11,1,17,1,11,1,17,2,16,1,5,75,33,1,5,1,13,1,30,1,28,15,30,1,28,4,6,1,9,1,11,1,12,1,11,2,10,1,13,1,5,7,28,12,30,1,8,1,16,1,14,1,17,1,9,1,8,1,7,1,6,1,29,2,6,1,7,1,28,1,30,1,24,1,8,1,10,1,9,1,17,1,8,1,28,5,30,1,10,1,24,1,29,1,28,3,30,1,28,27,6,1,17,1,}, {30,2,28,1,30,1,28,9,30,1,6,1,28,2,30,1,7,1,13,1,28,1,30,1,6,1,30,1,28,1,29,1,28,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,6,2,7,1,13,1,8,1,24,2,13,1,12,1,17,2,8,1,6,1,13,1,7,1,29,1,24,1,11,1,17,1,9,1,10,1,9,1,10,1,9,2,10,1,8,1,24,1,7,1,6,1,9,1,11,1,16,1,24,1,30,1,6,1,30,1,13,1,8,1,10,1,8,1,12,1,24,1,8,1,13,1,7,1,24,1,8,1,10,1,12,1,16,1,17,1,10,1,8,2,13,1,9,1,8,1,29,1,30,1,28,20,30,1,28,3,13,1,8,1,13,1,8,1,14,1,15,1,24,2,28,1,6,1,28,2,30,2,13,1,24,1,10,1,15,1,9,1,8,1,24,1,8,1,13,1,29,1,6,2,7,1,30,1,7,1,13,1,8,1,15,1,10,1,11,1,8,1,28,14,6,1,13,1,9,3,13,1,9,1,13,1,28,11,30,1,28,3,6,1,13,1,30,1,6,1,28,2,6,2,7,1,28,1,13,1,28,1,6,1,28,1,29,1,30,1,6,2,30,2,6,1,28,1,30,1,6,1,29,1,28,4,30,1,28,4,6,1,30,3,28,1,30,1,29,2,6,1,28,2,29,1,28,10,30,1,28,2,6,1,28,2,6,1,28,1,7,1,6,1,28,1,30,3,6,2,30,2,6,1,29,1,30,1,29,1,28,1,6,2,7,1,30,1,6,1,29,1,13,1,29,1,13,2,6,1,13,1,28,1,6,1,13,1,6,1,29,1,13,2,7,1,13,1,8,1,9,1,8,1,13,1,9,1,13,2,6,3,13,1,7,1,29,1,6,1,13,1,6,2,13,1,7,1,6,1,13,1,30,2,13,3,8,1,6,1,13,1,8,1,13,1,8,1,9,1,13,1,8,1,13,2,8,1,9,1,13,1,11,1,9,1,11,1,12,1,17,1,11,1,17,1,24,1,8,1,24,1,10,1,8,3,6,1,8,2,6,1,30,1,28,37,29,1,28,1,30,2,6,1,29,1,7,2,8,1,13,1,8,2,7,1,8,1,7,1,8,1,24,1,9,1,24,1,7,1,8,2,13,1,24,1,8,1,9,1,24,1,8,2,24,1,8,1,7,1,8,2,6,1,7,5,6,2,28,1,7,1,28,1,6,1,29,1,28,1,7,1,29,1,6,1,30,1,7,2,8,1,24,1,9,1,10,1,12,2,17,6,5,2,33,158,5,85,28,2,30,1,28,36,30,1,28,8,30,1,28,47,30,1,28,2,29,1,28,1,27,1,28,1,29,1,6,2,26,1,29,1,25,1,8,1,24,3,8,1,9,1,12,1,13,1,24,1,9,1,12,1,10,1,9,1,11,1,24,1,12,1,11,1,12,1,10,2,9,1,17,3,12,2,17,4,12,1,17,2,12,1,17,1,12,1,9,1,17,1,11,1,16,2,5,77,13,1,30,1,28,6,30,1,7,2,24,1,13,2,9,1,8,1,6,2,13,2,16,1,17,1,5,9,16,1,17,6,9,1,17,1,12,1,11,1,12,2,17,4,5,66,33,1,28,4,30,1,28,3,30,1,28,9,30,2,28,1,13,1,8,1,9,1,11,1,9,1,11,2,9,2,11,1,12,1,17,1,13,1,30,1,28,4,12,2,11,1,9,1,12,1,9,1,17,1,12,2,17,2,10,1,11,1,17,1,11,2,12,1,17,1,11,1,12,1,17,1,11,3,12,1,11,1,9,1,12,1,11,1,16,1,11,1,12,1,9,1,11,1,9,1,11,1,16,2,5,98,13,2,7,1,13,2,7,1,6,1,30,1,13,1,6,1,29,1,13,1,6,1,30,1,13,1,28,2,13,2,7,1,6,1,7,1,29,1,7,1,8,1,13,3,7,1,29,1,13,4,6,1,13,1,10,1,12,2,17,3,12,1,17,29,12,1,17,1,12,1,17,5,11,2,17,2,11,1,17,1,16,4,17,1,9,1,16,2,11,1,16,4,17,2,16,1,17,2,16,1,17,1,16,9,17,9,16,1,17,4,11,1,17,1,11,4,12,1,9,1,24,1,12,1,10,1,24,2,8,1,24,4,8,1,12,1,10,1,24,1,9,1,24,2,10,4,12,1,8,1,10,2,11,1,9,1,11,1,10,1,11,1,12,1,9,1,11,1,9,1,17,2,12,1,16,1,17,1,12,1,6,1,7,1,13,1,8,1,25,1,24,2,25,2,8,1,25,1,24,1,8,1,24,1,8,2,24,3,8,1,25,2,8,1,25,1,24,1,26,1,8,2,24,1,8,3,26,1,8,2,25,1,27,1,29,1,8,1,27,2,25,1,29,1,25,3,29,1,25,2,27,1,29,2,26,1,27,1,29,1,30,1,28,3,30,2,28,26,30,1,28,40,30,1,28,37,30,1,28,2,6,1,28,3,30,2,28,1,30,1,28,3,30,1,28,13,30,1,28,6,6,1,7,1,13,1,8,1,9,2,13,2,6,1,13,1,7,2,13,4,6,1,13,2,6,2,13,1,28,2,13,1,6,1,28,33,7,1,28,93,30,2,28,2,30,1,6,2,28,2,30,1,29,1,6,1,13,1,28,1,30,2,6,1,30,1,29,1,7,1,6,1,7,1,30,1,6,2,13,1,28,1,7,1,30,3,7,1,30,1,28,1,30,2,28,1,29,1,28,39,30,1,28,6,30,2,28,3,30,1,28,1,30,1,28,3,6,1,28,2,29,1,28,3,30,4,7,1,30,1,29,2,7,2,28,1,30,2,28,2,6,1,29,1,28,1,30,1,28,3,30,1,6,1,28,2,30,2,28,2,6,1,28,1,29,1,30,1,6,1,28,12,30,1,6,1,29,1,30,1,7,1,6,1,30,1,13,1,7,1,13,1,30,1,13,3,6,2,13,1,6,1,13,2,9,1,13,1,8,2,24,2,13,1,28,1,30,1,29,1,28,115,30,2,28,1,29,1,30,1,28,1,30,2,29,2,25,1,29,1,25,1,24,1,12,1,24,4,8,1,24,1,8,1,10,1,24,5,12,1,8,1,9,1,8,1,9,1,11,1,12,1,17,9,11,1,17,3,12,1,17,4,12,1,17,1,12,1,17,1,11,1,17,3,11,1,17,1,9,1,11,1,17,2,12,2,11,1,17,1,11,1,17,7,12,1,11,1,12,1,17,1,10,1,11,1,12,2,17,1,11,1,17,1,11,1,17,1,12,1,11,1,12,2,17,1,12,2,10,1,9,1,11,1,10,1,11,1,12,1,10,1,17,1,10,1,11,1,12,1,9,1,11,2,9,2,10,4,9,1,10,1,9,1,17,1,11,1,17,1,11,1,12,2,11,2,17,1,12,1,11,1,12,2,17,2,10,1,12,1,10,1,17,1,12,1,17,1,11,1,12,1,17,1,12,2,11,1,12,2,11,2,12,1,17,17,16,3,5,75,13,1,30,1,6,1,28,1,30,1,28,5,30,1,28,1,30,1,28,1,6,1,28,3,30,1,6,1,28,1,6,1,28,1,29,1,13,1,11,3,17,1,11,1,12,1,11,1,9,1,13,1,6,1,5,6,28,13,29,1,14,1,17,2,9,1,29,1,30,1,29,1,28,1,29,1,6,1,30,2,29,1,13,1,8,2,11,1,17,1,13,1,28,5,13,1,17,1,12,1,30,1,28,3,29,1,28,27,8,1,14,1,}, {30,1,28,5,30,1,28,5,30,2,28,3,29,1,6,1,30,1,29,1,30,1,6,1,29,1,28,1,6,2,30,3,28,1,30,2,6,1,28,1,29,1,6,1,28,1,13,1,7,1,8,3,17,1,14,1,17,1,24,1,29,1,13,1,7,1,29,1,8,1,9,1,17,2,9,1,24,1,8,1,9,1,24,1,11,1,24,1,8,1,13,1,6,1,8,1,17,1,24,1,13,2,28,1,6,1,13,2,9,2,10,1,13,1,8,2,13,1,9,1,13,1,24,1,17,3,8,2,13,3,6,1,28,1,30,2,28,22,30,1,29,1,6,1,8,2,24,1,12,1,24,1,13,1,29,3,28,1,30,2,29,1,15,1,9,1,24,1,8,2,13,2,6,1,29,1,30,1,7,1,29,1,6,1,30,1,6,1,8,1,15,1,8,1,9,1,8,1,13,1,28,10,30,1,28,3,9,5,8,1,6,3,29,1,28,5,30,1,28,1,6,1,28,2,30,1,28,2,30,1,6,2,28,1,6,1,13,1,30,1,6,1,28,1,6,1,28,1,6,2,28,1,30,1,6,3,30,1,6,1,30,1,28,1,29,1,6,1,28,1,6,1,30,1,6,1,28,1,29,1,28,2,30,2,28,2,8,1,30,1,28,4,30,1,28,9,30,1,28,4,30,1,6,1,28,1,6,1,30,2,28,1,30,1,29,1,28,1,30,1,6,1,29,1,30,1,6,1,29,1,28,1,6,1,30,1,13,1,29,1,6,1,13,1,30,1,13,1,29,1,6,1,28,1,13,1,6,2,30,1,7,1,6,2,28,1,13,1,6,1,13,2,8,1,13,2,6,1,8,1,6,2,30,1,13,1,6,2,29,1,13,2,6,3,30,2,6,1,7,1,6,1,13,1,30,1,13,2,7,1,13,1,8,1,7,1,8,1,9,2,13,4,8,2,9,2,8,1,9,4,11,1,17,1,12,1,8,2,24,1,9,1,13,1,6,1,8,2,6,1,13,1,6,1,28,41,29,1,6,3,29,1,6,3,8,1,13,1,7,1,13,1,7,1,8,1,9,1,24,1,8,1,24,1,8,1,24,4,9,1,24,1,10,1,8,2,7,1,8,3,7,1,29,1,7,2,29,1,7,1,29,1,7,1,6,1,29,2,6,1,28,1,6,1,28,6,30,1,13,1,8,2,9,1,17,1,12,1,17,2,16,2,5,1,33,160,5,82,33,1,28,2,30,2,28,25,30,1,28,15,30,1,28,47,30,1,29,1,28,2,30,1,29,1,7,1,28,1,6,4,7,1,29,1,7,1,8,1,6,1,24,2,8,1,24,1,9,1,24,1,10,1,24,1,10,2,12,1,9,2,11,1,9,1,10,1,17,1,11,1,12,1,17,1,12,1,10,1,12,3,17,8,12,1,17,2,11,1,17,2,11,1,5,79,33,1,13,1,30,1,28,3,30,3,7,2,13,1,8,1,10,1,12,1,10,1,13,1,6,1,30,1,13,1,17,1,16,1,5,9,17,7,9,1,10,1,11,2,12,2,17,3,13,1,5,64,28,4,6,1,28,1,30,1,28,4,29,1,28,7,13,1,6,1,28,1,10,1,13,1,24,1,11,1,10,1,11,1,9,1,11,1,9,1,16,1,9,1,30,1,28,7,13,1,8,1,17,1,11,2,12,2,17,1,10,2,17,1,12,1,17,2,16,1,11,1,16,1,12,1,11,4,17,1,11,1,17,1,11,1,12,1,11,3,9,2,11,4,5,100,9,1,13,1,6,1,8,1,13,2,8,1,30,1,6,1,7,1,29,1,6,1,7,1,6,1,29,1,30,1,13,1,10,1,24,1,8,1,13,3,8,2,7,1,13,1,8,1,6,1,8,2,13,1,8,1,6,1,7,1,24,1,11,1,12,2,17,35,11,1,17,1,11,1,17,4,12,2,11,1,17,4,16,1,17,2,16,1,11,1,9,1,11,1,17,1,16,1,17,4,16,1,17,1,16,3,17,1,16,1,11,2,16,4,17,13,16,1,17,2,11,3,9,1,10,1,12,1,24,1,9,1,12,1,24,3,8,1,13,1,8,1,24,1,8,1,24,2,8,1,24,3,10,1,24,2,10,3,9,1,24,1,9,1,10,1,9,1,12,1,10,1,11,1,10,1,11,1,12,1,17,1,11,1,17,1,12,1,11,1,12,1,17,1,8,1,29,1,8,2,25,1,24,1,25,3,8,3,6,1,25,1,24,3,25,1,24,1,8,1,24,1,8,1,24,1,25,1,8,1,25,1,8,2,25,1,24,1,25,2,8,1,25,1,27,1,6,1,26,1,8,1,25,1,29,1,27,4,30,1,29,1,27,1,29,1,27,1,30,1,26,1,30,1,25,1,27,1,30,1,27,1,29,2,28,3,30,1,28,3,27,1,28,4,30,1,28,97,6,2,28,2,6,1,13,1,30,1,28,1,30,1,28,5,30,1,28,13,30,2,28,1,29,1,28,1,13,3,8,1,9,1,13,2,8,1,13,2,7,1,13,1,9,1,6,1,9,1,13,3,6,2,29,1,30,2,28,134,30,1,28,1,30,1,7,1,30,1,13,1,6,1,28,1,6,1,13,1,6,1,7,1,6,1,30,1,28,1,6,1,30,1,6,3,30,2,6,1,7,1,13,1,30,2,6,1,30,2,7,1,28,3,29,1,28,2,30,2,28,46,6,1,28,1,6,2,30,4,6,1,28,3,30,1,28,1,6,2,7,1,30,2,6,1,28,1,6,1,28,1,6,1,30,2,6,1,30,1,28,1,13,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,6,1,28,5,30,1,28,1,30,1,28,1,6,1,28,5,30,3,28,1,30,1,28,2,6,1,29,1,28,1,30,2,6,2,13,1,6,1,8,1,13,1,6,1,29,1,13,2,6,1,13,1,8,3,9,1,8,1,13,1,17,1,10,1,8,1,28,2,6,1,30,2,28,113,27,1,29,1,27,1,29,1,30,1,25,1,29,1,27,1,8,1,25,4,8,1,24,3,8,1,24,1,7,1,8,1,10,1,7,1,24,2,10,1,9,2,24,1,17,2,10,1,17,18,11,1,17,2,12,1,17,1,11,1,17,11,12,2,17,9,12,1,17,3,12,1,11,1,17,1,11,1,17,1,9,1,11,1,12,1,10,1,17,1,11,1,17,2,12,1,17,1,11,1,10,1,11,1,12,1,17,1,11,1,10,1,11,1,12,1,10,1,11,4,10,2,9,1,10,2,11,2,17,1,11,1,9,1,17,1,11,1,12,1,10,1,11,3,17,1,11,1,12,1,11,1,17,1,12,1,10,1,17,5,12,3,17,2,12,1,11,3,17,19,5,74,33,2,5,1,6,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,2,6,1,28,1,6,1,28,1,13,1,29,1,28,1,30,1,13,1,8,1,9,1,11,1,12,1,11,1,9,1,10,1,8,2,11,1,13,1,9,1,6,1,28,1,5,5,6,1,28,13,6,1,14,1,17,2,9,1,13,1,29,1,6,1,28,1,30,1,28,1,6,2,30,1,8,1,13,1,24,1,11,1,17,1,30,1,28,5,13,1,17,1,9,1,30,1,28,31,8,1,14,1,}, {30,1,29,1,30,1,28,8,30,1,28,1,30,1,29,1,28,4,29,1,6,1,28,1,6,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,29,1,30,1,6,1,29,1,6,1,30,2,8,2,7,1,8,2,17,1,14,2,9,1,8,1,29,1,6,2,7,1,9,1,17,2,12,1,10,2,12,1,24,1,13,2,8,1,6,1,13,1,7,1,17,1,16,1,13,1,29,1,30,1,7,1,6,2,9,1,12,1,17,1,8,1,13,1,8,1,13,1,8,1,24,1,12,2,17,1,14,2,6,1,8,1,6,1,8,1,13,1,29,1,28,1,30,1,28,22,30,1,6,1,7,1,8,1,24,3,12,1,13,1,6,1,30,2,6,1,28,1,30,1,6,1,8,1,12,1,10,1,8,1,24,1,8,1,24,1,30,1,29,2,28,3,6,2,9,2,24,1,12,1,24,1,29,1,28,3,30,1,28,10,13,2,9,3,8,1,6,2,30,1,28,1,29,1,6,3,30,1,28,1,29,1,28,2,30,1,28,2,6,1,30,2,28,2,29,2,28,1,29,1,28,3,6,1,29,1,28,1,13,1,28,1,13,1,28,1,30,2,28,1,30,3,6,1,30,1,6,1,28,2,30,1,28,2,6,1,28,1,30,1,28,2,30,2,28,6,30,1,29,1,28,1,30,1,28,3,6,1,28,1,6,2,30,2,28,1,30,1,13,1,30,1,6,2,13,1,28,1,7,1,13,1,30,2,13,2,30,1,6,1,30,1,29,1,28,1,13,1,30,1,13,1,7,1,30,2,13,1,29,1,13,1,6,2,13,1,8,1,13,1,6,1,30,1,13,1,7,1,6,1,29,1,13,1,6,1,13,3,30,1,13,1,6,2,13,1,6,1,13,1,6,1,28,1,6,1,13,1,6,2,28,1,13,2,28,1,6,1,13,1,6,1,13,3,8,2,13,2,9,1,29,1,9,1,13,1,9,1,13,1,8,1,13,1,6,1,10,1,9,1,13,1,9,1,8,1,11,1,9,1,10,1,11,1,9,1,8,1,7,1,13,2,24,1,7,2,8,1,29,1,28,40,30,2,29,1,6,2,29,1,13,1,7,1,28,1,7,1,24,1,7,1,8,1,6,1,24,2,8,1,24,1,8,1,24,2,8,1,9,1,10,1,9,3,10,1,13,1,12,1,10,1,8,1,7,2,24,1,7,1,6,1,7,1,8,1,30,1,7,1,6,1,30,2,6,1,30,1,6,1,30,2,28,6,29,1,13,1,24,1,17,5,5,1,33,163,5,78,28,2,13,1,30,1,28,22,30,1,28,9,29,1,28,1,30,1,28,3,29,1,28,10,30,1,28,42,30,1,28,2,29,1,13,1,30,2,29,1,13,1,6,3,7,1,24,1,29,1,8,2,9,1,24,2,13,1,24,1,13,1,12,1,9,1,24,1,10,2,9,1,11,1,12,1,11,1,10,2,17,1,11,2,10,1,17,1,11,1,17,9,16,1,17,1,16,1,17,1,12,1,17,1,16,1,5,83,30,1,28,3,30,1,6,3,12,1,9,1,8,1,13,1,10,1,24,1,9,1,10,1,8,1,10,1,16,1,5,9,13,1,16,1,17,1,11,1,17,3,12,1,8,1,12,2,11,1,17,4,9,1,5,63,28,3,30,3,28,1,30,1,28,11,29,1,6,1,7,1,8,1,9,1,12,1,13,1,11,1,9,1,12,1,11,2,17,1,6,1,28,9,30,1,7,1,13,1,10,1,12,1,10,1,28,1,30,1,8,1,9,1,12,1,17,3,16,1,17,1,11,4,17,1,10,2,11,4,9,1,16,2,9,1,11,1,9,1,16,2,33,1,5,100,13,1,7,1,13,1,29,1,7,1,13,1,7,1,13,1,29,1,6,1,30,1,7,1,6,1,8,1,6,2,8,1,9,1,10,2,8,1,6,2,30,1,8,1,13,2,30,2,24,1,8,1,13,1,10,1,13,1,8,1,12,1,10,1,12,2,17,22,12,1,17,5,12,2,17,1,12,1,17,3,11,1,17,7,12,1,17,1,11,1,16,6,11,1,16,1,11,2,17,1,16,1,17,1,16,4,17,1,11,1,16,1,17,1,16,2,11,1,16,4,17,1,16,2,17,9,16,1,17,5,10,1,9,1,10,2,8,1,24,1,8,5,13,1,8,2,24,1,13,1,8,2,9,1,8,1,24,2,9,1,8,1,12,1,8,1,10,1,9,1,10,1,9,1,10,1,9,1,10,1,12,1,10,2,17,1,11,1,12,2,17,1,11,1,16,1,12,1,17,2,12,1,8,1,13,1,8,1,6,1,8,2,27,1,8,1,25,2,8,1,24,2,27,1,25,1,24,1,25,3,8,1,10,1,25,1,8,2,25,1,24,1,8,1,25,1,24,1,25,2,27,2,25,2,8,1,25,1,30,1,25,1,27,1,25,1,8,1,25,1,8,1,27,2,25,4,26,2,30,2,29,1,28,1,29,2,30,1,28,4,30,2,28,24,6,1,28,39,29,2,30,1,28,35,30,2,13,1,28,1,6,1,30,1,7,1,30,1,13,1,28,2,30,1,28,4,30,1,28,7,29,1,30,2,28,1,30,2,13,2,30,1,13,4,7,1,6,1,7,1,13,1,9,1,29,1,7,2,30,1,6,1,13,2,30,1,6,1,13,1,6,2,7,1,6,1,30,2,28,139,30,1,29,1,6,1,30,1,7,1,30,1,7,1,29,1,6,1,29,1,28,1,29,1,7,1,6,1,30,1,6,1,13,1,30,1,7,1,6,2,28,1,6,1,30,1,7,1,30,2,7,1,30,2,28,50,7,1,30,2,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,6,2,28,2,30,3,6,1,28,2,7,1,30,3,28,1,30,3,6,1,28,1,29,1,6,2,28,2,30,1,6,1,28,3,6,1,28,3,6,1,28,1,29,1,28,1,30,1,28,3,7,1,28,5,6,1,30,1,6,1,30,1,6,1,30,1,7,1,6,2,13,1,7,1,13,2,28,1,13,7,9,1,8,1,11,1,8,1,17,1,10,1,13,1,29,1,30,2,28,1,30,1,28,2,29,1,30,1,28,39,30,1,28,33,30,1,28,9,30,1,28,17,30,2,28,5,30,1,27,1,30,1,29,1,26,1,27,1,26,1,27,1,8,1,25,1,24,9,12,1,24,1,12,1,8,1,12,4,17,13,16,1,17,10,12,2,11,1,17,2,11,1,17,2,11,1,17,6,12,2,17,3,11,1,17,4,12,1,17,3,12,1,11,1,17,1,12,1,17,1,11,1,17,2,11,1,17,2,11,1,17,1,10,1,17,1,11,1,17,1,11,2,12,1,10,1,17,1,11,4,10,1,11,1,10,1,12,1,11,1,12,1,9,1,12,1,9,1,11,1,10,1,12,1,11,1,12,1,17,1,12,2,10,1,11,2,12,2,17,1,12,1,11,1,12,1,11,1,17,1,12,1,17,1,12,2,17,1,12,1,17,2,11,2,10,2,17,16,16,1,17,2,16,1,5,74,13,1,28,6,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,13,3,6,2,7,1,13,2,7,1,9,3,8,1,10,2,11,1,17,1,11,1,9,1,8,1,10,2,9,1,13,2,28,2,5,5,6,1,28,13,9,1,14,1,17,2,9,1,13,1,29,1,7,1,30,3,29,3,6,1,8,1,9,1,12,1,17,1,13,1,28,5,13,1,17,1,12,1,30,1,28,31,9,1,14,1,}, {28,1,30,1,28,8,29,1,30,4,7,1,28,1,29,1,28,1,6,1,13,1,28,1,30,2,6,3,30,2,28,1,29,1,28,1,13,1,6,1,30,1,6,2,7,1,13,1,7,2,8,1,24,1,12,1,14,2,9,1,13,1,6,1,29,1,13,1,6,1,17,3,9,3,24,1,8,1,24,1,10,1,13,1,7,2,24,1,14,1,15,1,13,1,6,1,13,1,29,1,6,1,13,1,24,1,8,1,10,1,8,1,10,1,24,1,8,1,9,2,11,1,9,1,17,1,10,1,12,1,6,2,13,1,12,1,8,1,30,1,28,4,30,1,28,19,30,1,6,1,13,1,7,1,8,2,15,1,24,1,13,1,29,1,30,2,6,1,30,1,28,1,30,1,8,1,14,1,24,1,9,2,13,1,7,1,13,1,6,1,29,3,7,1,29,2,24,1,8,1,13,1,8,1,24,1,29,1,28,14,13,3,9,1,13,1,6,3,28,1,6,1,30,1,6,1,28,1,6,1,30,3,13,1,30,1,29,1,13,1,28,1,13,2,29,1,6,1,30,1,29,1,13,1,30,1,6,2,13,1,28,1,13,1,6,2,28,1,29,1,28,2,6,1,30,1,28,2,6,1,28,1,6,1,29,1,28,2,29,1,28,6,30,2,28,2,30,1,28,1,30,1,28,3,30,3,29,2,6,2,30,1,29,4,6,1,13,1,6,1,13,3,30,1,13,2,29,1,7,1,6,2,13,2,6,1,28,1,13,2,6,1,28,1,29,1,30,1,13,1,30,1,13,1,6,3,29,1,6,1,13,1,30,2,13,1,28,1,6,2,30,1,13,1,30,1,6,1,13,1,6,4,9,1,13,2,28,1,29,1,13,3,30,2,6,1,30,1,6,1,28,1,6,2,13,1,7,1,13,1,9,1,13,1,6,1,8,1,13,3,8,1,13,1,9,1,13,2,8,3,13,2,11,1,13,1,10,1,11,1,9,1,10,1,9,1,24,2,8,3,10,1,6,1,13,1,6,1,13,1,28,35,30,1,28,1,30,3,28,1,6,1,29,1,30,1,13,1,6,2,13,1,7,1,6,1,13,1,6,1,13,1,7,1,13,2,8,3,24,2,10,1,8,1,10,1,24,1,12,1,8,1,17,1,10,1,24,1,12,1,8,1,24,1,8,1,13,1,8,1,7,1,13,1,8,1,7,2,6,1,28,1,29,1,6,1,28,5,30,1,28,1,30,1,28,1,29,1,6,1,8,1,24,1,17,1,12,1,17,2,16,1,5,1,33,164,5,74,33,1,28,35,30,1,28,3,30,1,28,18,6,1,28,31,30,1,28,5,30,2,29,1,30,1,6,2,13,1,7,1,6,1,13,2,8,2,24,1,8,2,24,1,8,3,24,1,8,1,10,1,24,1,9,1,10,1,12,1,24,1,10,2,9,1,10,1,9,1,12,2,17,1,12,1,17,1,12,2,17,3,12,4,17,9,13,1,33,1,5,84,29,1,28,2,30,1,13,1,7,1,12,1,17,1,9,1,13,1,6,1,13,1,8,2,13,1,8,1,13,1,16,1,5,9,33,1,16,1,10,1,16,1,17,3,12,1,11,3,10,1,17,4,9,1,5,62,28,2,30,1,6,1,30,1,6,1,28,13,7,1,6,1,13,1,8,1,24,2,11,1,12,1,10,1,12,2,17,1,9,1,28,12,6,2,24,1,12,1,8,1,30,2,28,2,29,1,24,1,10,1,9,1,11,1,12,1,17,2,11,1,10,1,17,1,11,2,17,1,12,1,17,1,11,1,9,2,11,1,9,2,16,1,5,103,6,1,13,1,6,1,13,1,6,1,8,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,8,1,7,1,13,2,8,1,9,2,13,1,8,1,13,1,6,1,8,1,13,4,6,1,24,1,7,1,13,1,6,1,13,1,8,1,10,1,11,1,17,24,11,1,17,8,12,1,17,7,11,1,17,3,16,1,17,1,16,3,17,2,16,1,13,1,16,3,17,2,16,1,17,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,2,16,4,17,3,11,1,17,4,16,1,17,9,10,1,13,1,24,1,10,1,24,2,13,1,24,1,7,1,8,1,7,1,8,1,25,1,8,2,24,1,13,1,24,1,8,1,24,5,8,1,9,1,24,1,10,1,24,1,9,1,13,1,10,2,9,1,11,1,10,1,9,1,17,1,11,1,9,1,11,2,16,1,12,2,17,1,8,1,6,1,13,1,29,1,8,2,26,1,25,4,24,1,25,1,27,1,29,1,25,1,8,4,25,2,8,1,24,1,8,1,25,1,6,1,8,2,24,1,26,1,24,1,26,1,27,1,8,1,25,2,26,1,29,1,27,1,29,1,8,1,27,1,25,1,26,1,27,1,25,2,29,1,27,1,29,2,27,2,28,1,30,1,29,1,28,2,30,1,29,2,28,2,30,2,28,2,30,1,28,17,6,1,28,3,30,1,28,33,30,1,28,5,30,1,29,1,6,1,30,1,28,33,7,1,28,1,6,1,28,1,6,2,30,1,7,1,6,1,30,1,28,1,30,1,28,4,30,1,6,1,28,8,30,2,13,1,6,1,13,1,9,1,10,1,8,1,13,1,9,1,13,4,7,1,6,1,30,1,6,1,13,1,6,1,13,4,6,1,7,1,28,1,7,1,28,1,29,1,28,1,30,1,28,46,6,1,28,98,6,1,29,1,30,2,6,1,30,1,7,1,6,1,30,2,6,1,28,1,6,1,30,1,29,1,6,1,7,1,30,1,28,1,30,1,6,2,28,1,30,1,28,7,30,1,28,44,30,1,28,1,30,1,28,1,13,1,30,2,29,1,6,1,28,1,6,1,30,3,28,2,30,2,28,1,7,1,28,2,6,1,28,1,30,4,6,3,13,1,28,1,30,1,29,1,28,1,6,1,30,1,28,3,6,1,28,1,30,2,28,1,29,2,28,1,30,1,28,6,30,1,28,1,30,1,28,1,6,2,30,1,6,1,7,1,6,1,29,1,13,2,6,1,9,1,13,5,7,1,13,2,8,3,24,1,9,1,10,1,12,1,24,1,29,1,6,1,29,1,30,1,28,1,29,1,28,39,29,1,28,47,30,1,28,6,30,1,28,5,30,1,28,3,29,2,28,1,27,1,30,1,27,1,29,2,25,1,26,1,27,1,25,1,8,1,25,1,8,1,24,1,25,1,24,2,8,1,24,1,8,1,10,3,8,2,12,1,24,1,12,1,17,1,11,1,17,2,12,1,17,11,11,1,17,10,11,1,17,2,12,3,17,2,12,1,17,13,12,2,17,6,12,1,17,1,9,1,17,2,11,1,17,4,12,2,17,2,11,1,12,1,11,2,12,2,17,1,10,1,11,2,12,1,11,1,12,1,9,2,10,1,11,1,12,1,10,2,9,1,17,2,12,1,17,3,11,2,12,2,11,1,17,2,12,2,11,1,12,1,11,1,17,2,12,2,17,1,11,1,17,2,11,1,10,1,12,1,17,17,16,1,5,62,33,2,9,4,5,1,9,2,13,1,28,7,30,2,6,1,29,1,28,1,6,2,30,2,6,1,30,2,6,1,8,3,13,1,9,1,7,1,13,1,9,3,13,1,11,1,10,1,11,1,9,2,11,1,10,2,8,1,13,1,9,2,13,2,7,1,30,1,5,5,6,1,28,13,13,1,14,1,17,2,12,1,6,2,30,1,6,2,28,2,29,2,6,1,13,1,8,1,11,1,17,1,6,1,28,4,30,1,13,1,16,1,9,1,28,4,6,1,28,27,24,1,17,1,}, {29,2,30,1,28,7,6,1,28,2,30,2,28,1,30,1,28,1,30,1,29,1,30,1,7,1,28,1,30,1,6,1,28,1,13,1,28,6,30,1,6,1,29,3,7,2,6,1,7,1,6,1,17,2,14,1,9,1,24,1,29,1,6,1,7,2,9,1,17,2,10,1,8,1,9,1,12,1,9,1,24,1,13,2,6,1,13,2,14,1,15,1,9,1,6,2,29,1,7,1,6,1,8,1,17,2,13,1,24,1,13,2,8,2,16,1,12,2,14,1,9,1,13,1,29,1,9,1,24,1,9,1,6,1,28,1,29,1,28,22,30,1,6,2,13,1,8,1,13,1,8,1,12,1,10,1,6,1,28,1,30,1,28,1,29,1,28,2,24,1,15,1,14,1,10,1,24,2,13,1,6,3,30,1,28,1,13,1,30,1,13,1,6,1,24,2,15,1,24,1,30,1,28,13,30,1,7,1,8,2,9,1,13,1,30,1,6,1,28,2,6,1,28,1,30,1,28,2,30,3,6,3,13,1,8,1,13,1,6,1,8,1,13,2,6,2,8,2,13,1,8,1,30,1,13,1,6,3,30,1,29,1,6,1,13,1,28,1,29,1,6,1,30,1,28,2,30,1,28,9,30,1,28,5,30,1,28,4,30,3,28,2,30,1,28,1,6,1,30,1,13,1,6,1,13,1,30,1,6,1,30,2,13,1,30,1,13,1,29,1,13,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,7,1,30,1,6,1,13,1,30,1,6,2,13,1,30,2,13,1,6,1,13,2,7,1,13,2,30,1,6,1,13,1,30,1,13,2,30,1,13,1,6,1,13,4,28,1,13,2,29,1,13,1,30,1,6,2,30,1,13,1,6,1,13,1,6,1,8,1,13,2,8,1,13,1,8,3,10,1,13,2,9,1,8,2,7,1,8,1,13,2,8,1,9,1,8,1,9,1,13,1,9,3,13,1,11,1,9,1,13,2,8,2,13,1,8,1,13,2,7,1,29,1,28,39,29,1,6,1,29,1,30,1,29,1,7,1,6,1,13,3,7,2,13,2,7,1,8,1,13,1,24,1,8,1,13,1,8,2,13,1,24,2,9,1,12,3,24,1,10,1,12,1,10,1,24,2,10,1,24,5,13,1,8,1,29,2,6,1,29,1,28,9,29,1,7,1,24,1,12,1,17,3,16,1,5,1,33,166,5,69,33,1,5,1,28,3,6,1,30,1,28,26,29,1,28,2,29,1,28,2,30,1,28,1,29,1,28,1,30,1,28,17,30,1,28,34,30,1,28,1,30,1,6,1,28,1,29,1,6,1,30,1,6,2,29,1,6,1,13,1,7,1,8,1,6,1,7,1,13,1,24,1,13,1,8,2,12,1,24,1,9,1,24,1,12,1,9,2,10,2,9,1,12,2,10,1,12,2,17,2,12,1,17,1,9,1,17,6,12,1,17,4,12,1,17,2,16,2,11,1,13,2,5,85,17,1,11,1,6,1,30,1,29,1,13,1,12,2,13,1,6,2,7,1,28,1,30,1,6,1,10,1,9,1,11,1,17,1,5,9,16,1,9,2,17,4,12,1,11,3,17,4,16,1,5,61,28,2,30,1,28,1,30,1,28,12,30,2,6,1,13,1,6,1,9,6,10,1,17,1,12,1,17,2,11,1,6,1,28,11,30,1,6,1,24,1,9,1,13,1,28,4,30,1,6,1,13,2,11,1,9,1,17,1,11,3,10,1,11,2,16,1,11,2,17,1,11,4,5,104,6,1,13,2,6,1,24,1,13,1,6,1,7,3,6,1,13,1,6,1,13,1,7,1,9,1,13,1,8,1,10,1,8,1,9,1,7,1,30,1,13,1,29,1,13,1,7,1,13,1,7,2,24,1,8,1,9,1,8,3,10,1,11,1,12,1,17,31,12,1,17,4,11,1,17,1,11,1,17,3,12,1,16,1,11,1,17,1,11,2,16,4,13,1,11,1,16,5,17,1,11,1,16,2,11,2,16,6,11,1,17,1,16,1,17,1,11,1,17,3,16,1,17,1,16,1,17,1,9,1,16,1,11,1,17,5,16,1,12,1,9,2,24,2,7,1,8,3,13,1,8,1,13,1,8,1,7,1,13,1,6,1,24,1,13,1,8,2,24,4,12,1,24,1,9,1,8,1,24,1,9,1,10,1,9,4,12,1,17,2,11,1,17,3,11,2,17,1,12,1,10,1,17,1,7,3,25,1,8,1,25,1,26,1,25,4,26,1,25,1,8,2,26,1,25,1,8,3,24,1,26,1,6,1,8,1,25,2,8,1,24,2,27,1,24,1,27,1,8,1,27,1,25,1,30,1,25,1,8,2,25,1,26,2,25,2,27,1,29,1,27,3,25,1,29,1,27,2,29,1,27,1,30,1,28,1,29,1,27,1,28,1,29,1,27,1,28,1,29,1,28,14,29,1,28,5,29,1,28,1,30,1,29,1,28,1,6,1,28,40,29,1,6,1,13,1,6,1,28,29,30,1,28,2,6,1,28,2,30,1,6,3,13,1,7,1,13,1,6,1,13,1,28,9,30,1,28,1,30,1,28,2,30,1,7,1,13,1,9,3,13,3,6,1,8,1,6,1,13,1,6,1,13,1,6,2,13,2,30,1,7,1,30,1,6,1,13,1,6,3,30,1,6,1,30,4,28,45,30,1,28,100,6,1,30,1,6,1,29,1,30,2,13,1,7,1,6,1,30,1,6,1,13,1,30,1,28,1,7,1,30,2,7,2,28,1,6,1,28,1,30,1,28,52,30,2,28,2,29,1,6,2,30,1,13,1,30,4,6,1,30,1,6,2,30,2,6,1,30,2,13,1,28,1,6,1,30,2,28,1,29,1,28,1,30,1,6,1,28,1,7,1,6,1,30,2,29,1,30,2,6,1,30,2,28,3,30,1,28,2,30,1,28,6,30,2,28,1,13,1,28,2,30,1,6,1,30,1,29,1,28,1,13,1,8,1,13,7,29,1,13,2,8,1,13,2,10,1,8,1,12,2,24,1,29,1,30,1,29,1,28,2,30,2,28,88,30,1,28,6,30,1,28,2,30,1,29,1,27,2,28,1,29,1,27,1,26,1,29,3,25,1,27,1,26,1,29,1,25,1,8,1,29,1,25,1,24,2,12,1,24,2,12,1,24,1,17,1,24,1,8,1,10,1,9,1,24,2,12,1,17,1,11,1,17,16,12,1,17,2,12,1,17,3,11,1,17,1,11,1,12,1,17,2,11,1,17,4,12,1,11,2,17,11,12,1,17,1,11,1,17,3,12,1,11,1,12,2,17,1,11,1,12,1,17,1,11,1,10,1,17,1,11,1,17,1,11,1,17,2,12,1,17,2,12,2,10,1,12,2,11,2,10,1,11,1,10,1,11,2,12,1,10,1,11,1,10,1,11,1,12,3,17,1,11,1,12,1,11,1,17,4,12,1,17,2,12,2,17,2,11,1,12,2,10,1,11,1,17,21,16,2,5,61,28,8,30,2,28,2,6,1,30,1,6,1,13,1,6,1,7,1,8,1,9,1,11,1,9,3,13,2,9,1,8,1,9,2,13,1,9,3,13,2,9,1,13,1,11,1,9,1,13,1,10,1,11,1,9,2,8,4,9,1,13,1,9,2,13,4,30,1,28,1,5,5,6,1,28,13,8,1,17,1,16,1,11,1,9,1,6,1,13,1,6,1,29,1,6,2,30,1,28,2,6,2,24,1,11,1,10,1,30,1,28,5,13,1,16,1,24,1,28,32,24,1,17,1,}, {28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,2,7,1,28,2,30,1,28,1,13,1,6,1,30,3,28,1,6,1,30,3,28,1,30,1,28,2,29,1,30,1,6,1,30,1,6,1,30,1,13,2,8,1,6,1,8,1,17,1,14,1,11,1,6,1,7,1,13,3,17,3,24,1,9,2,11,1,9,1,8,1,13,2,8,1,24,1,13,1,14,1,10,1,8,1,28,1,6,1,30,3,8,1,24,1,9,1,8,1,9,1,13,1,24,1,8,1,9,1,17,1,11,1,16,1,17,1,15,1,7,1,6,1,8,1,13,1,8,1,6,1,29,1,28,12,30,1,28,10,30,1,7,1,6,1,7,1,6,1,8,1,12,1,8,1,9,1,7,1,28,1,7,1,30,1,29,1,28,1,29,1,8,1,9,1,15,1,9,1,15,1,8,1,6,2,13,1,30,1,6,2,28,1,29,2,8,1,13,1,8,1,10,1,9,1,30,1,28,11,6,1,28,1,30,1,6,1,9,2,11,1,13,1,6,1,28,2,29,1,28,1,30,1,6,1,28,1,6,1,7,1,13,2,6,1,13,1,8,1,13,3,9,1,13,3,6,1,13,3,30,1,13,1,30,1,13,1,30,1,28,1,29,1,28,3,30,3,28,3,6,1,28,1,29,1,28,6,30,2,28,1,13,1,6,1,28,1,30,2,28,4,30,1,28,2,30,3,28,1,29,1,7,1,29,1,30,1,28,1,6,2,13,2,30,3,28,1,13,2,6,2,28,1,29,1,30,1,13,1,7,1,6,1,9,1,13,6,30,1,13,1,6,1,13,2,30,1,13,1,29,1,13,1,6,2,13,1,28,1,6,1,13,2,6,1,13,2,6,1,8,1,6,1,13,1,6,3,13,1,30,1,6,2,29,1,13,2,6,1,13,1,7,1,13,1,6,3,8,1,13,1,8,1,13,2,7,1,9,1,8,1,13,2,8,1,13,1,9,1,7,1,8,1,7,1,13,4,8,3,9,1,13,1,9,1,24,1,13,1,9,1,13,2,7,1,8,1,6,1,7,1,30,1,28,36,30,2,6,1,28,1,30,1,7,1,29,2,6,1,24,1,6,1,13,2,7,1,13,2,8,2,13,1,7,2,24,1,8,1,7,1,24,1,8,1,24,1,8,1,9,1,10,1,12,1,24,1,12,2,10,1,24,2,10,1,9,1,12,1,10,1,24,1,8,1,24,1,8,1,13,2,29,1,30,1,28,2,30,2,28,1,30,1,28,2,29,1,13,1,24,3,17,1,11,1,17,1,16,1,33,76,5,2,33,1,5,1,33,1,5,1,33,86,5,24,28,7,9,2,5,4,9,1,5,2,13,2,33,2,5,23,33,1,28,1,6,1,29,1,6,2,28,22,30,1,28,1,30,1,28,2,30,1,28,2,30,1,29,1,28,5,6,1,28,5,30,1,28,17,30,1,28,30,30,1,6,1,28,1,6,1,13,1,7,1,6,1,29,1,13,1,7,1,10,1,7,1,13,1,8,1,24,1,8,1,24,1,8,1,24,3,10,1,9,1,8,1,24,2,11,1,9,1,10,1,12,1,17,1,12,2,24,1,10,1,12,1,11,1,12,2,17,1,9,1,17,3,12,1,10,1,12,2,17,2,12,2,17,5,13,1,5,86,13,1,28,1,17,2,9,1,13,1,8,1,11,1,17,1,8,1,7,1,29,1,28,1,6,1,30,1,28,1,13,1,11,1,9,1,17,1,5,9,17,1,11,2,17,4,12,1,10,1,11,1,17,1,12,1,17,3,11,1,5,61,28,1,13,1,28,11,6,1,28,4,29,1,7,1,6,2,13,1,10,2,12,1,17,3,9,1,30,1,13,1,16,1,8,1,11,1,8,1,28,9,30,1,28,1,30,1,6,1,9,2,8,1,29,1,28,6,30,1,6,1,13,2,6,1,13,1,9,1,11,1,9,1,11,1,10,1,12,2,11,2,13,1,5,104,9,1,6,1,30,1,6,1,13,3,6,1,8,1,7,1,6,2,8,1,7,1,8,1,13,1,9,2,24,2,9,2,13,2,7,1,13,1,7,1,6,1,8,1,6,1,13,1,9,1,8,2,24,1,13,1,10,1,11,1,12,1,17,1,12,1,17,2,12,1,17,25,10,1,17,4,11,1,17,1,11,1,12,1,17,2,11,1,17,2,16,1,17,1,16,1,11,1,16,1,11,1,16,1,9,1,16,1,11,1,9,1,16,1,10,1,17,1,16,3,11,1,16,1,11,3,16,2,10,1,16,1,11,1,16,1,11,2,16,1,17,1,16,2,17,3,16,3,11,2,16,1,17,7,8,1,9,1,8,4,7,1,24,1,7,1,8,4,25,3,8,2,24,1,8,1,24,3,10,1,8,1,9,1,24,1,12,1,9,2,12,1,9,1,12,1,10,1,11,2,10,2,9,2,17,1,12,1,17,1,11,1,12,2,11,1,13,3,7,1,25,1,26,2,25,1,26,1,25,2,8,1,25,1,8,1,27,1,8,1,25,1,26,1,25,1,6,1,25,1,26,2,24,1,26,1,6,1,24,1,8,2,25,5,8,3,26,1,25,3,8,1,27,2,8,1,27,1,25,1,27,1,8,1,27,1,25,2,29,1,25,2,28,1,29,2,28,2,30,2,6,1,29,2,28,2,30,1,28,5,30,1,28,3,30,1,28,7,6,1,28,1,29,1,30,1,28,41,29,1,7,1,6,1,8,2,10,1,13,1,28,32,30,1,28,1,30,1,6,1,28,2,6,1,13,2,6,1,30,1,6,1,28,1,6,1,28,1,30,1,28,5,30,1,7,1,13,1,9,1,10,1,9,1,11,1,9,1,8,2,13,3,30,1,13,4,6,1,7,1,6,1,7,2,28,1,7,1,6,1,30,1,28,1,7,1,28,1,30,1,28,1,6,1,28,156,30,1,6,2,30,1,28,3,6,1,30,2,7,1,29,1,6,1,30,2,28,4,30,1,28,49,29,1,30,2,6,1,7,2,6,1,30,1,6,1,30,3,28,1,29,1,7,1,28,1,30,1,7,1,30,1,6,1,30,3,28,1,30,1,29,1,30,1,13,1,30,2,13,1,7,1,28,1,30,1,6,1,30,2,28,3,6,1,29,1,6,1,28,2,30,3,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,6,1,30,1,6,1,30,2,6,2,29,1,13,1,6,2,8,1,7,2,13,1,7,1,13,6,8,2,10,1,11,1,24,1,8,1,29,1,30,2,28,4,30,1,28,76,30,1,28,2,30,1,29,1,28,1,29,1,28,2,30,1,29,1,30,1,28,1,30,1,28,6,30,1,28,1,29,2,26,1,27,1,29,1,25,2,30,1,25,1,27,1,24,1,27,1,8,1,25,1,24,1,10,1,24,3,12,1,10,1,24,2,8,2,9,1,12,1,10,1,24,1,17,4,12,1,17,1,11,1,17,1,11,2,12,1,17,6,16,1,17,2,11,1,17,6,11,1,17,1,12,2,17,1,12,1,11,1,17,13,12,1,17,2,12,1,17,1,12,1,17,1,11,1,17,2,11,2,12,2,11,2,17,1,12,2,17,3,11,1,17,1,12,1,10,1,11,1,12,2,17,4,12,2,11,4,10,1,11,1,12,2,11,3,17,7,12,1,17,6,12,1,11,1,12,1,11,3,17,2,12,1,17,18,12,2,10,1,11,1,9,1,16,1,5,57,9,2,13,1,6,1,13,1,7,1,6,1,30,1,13,2,6,1,7,1,8,1,13,3,8,2,13,1,6,1,13,2,10,1,8,1,17,1,11,1,10,1,9,1,10,2,11,2,17,1,9,1,11,1,9,4,8,1,9,1,13,1,9,1,10,1,8,1,9,1,8,1,13,1,9,2,11,1,8,1,9,3,13,1,8,1,13,4,30,1,13,1,5,5,28,14,13,1,17,3,9,1,7,2,6,1,30,1,29,1,6,2,29,3,8,1,9,1,11,1,10,1,30,1,28,5,9,1,11,1,12,1,28,32,24,1,17,1,}, {30,2,28,4,30,1,28,5,30,1,29,1,28,1,6,1,30,2,28,1,8,1,30,1,6,1,28,1,13,1,28,1,30,1,28,1,6,1,30,3,28,2,30,1,6,1,29,1,6,3,13,1,8,1,7,1,24,1,9,1,14,2,9,1,6,1,13,1,6,1,13,1,6,1,9,1,17,1,10,1,12,1,9,3,10,2,13,2,8,2,6,1,15,1,14,1,8,1,13,1,29,2,6,3,24,1,15,1,9,1,13,1,8,1,9,1,8,2,11,1,9,1,17,1,16,1,11,1,9,3,24,2,6,1,29,1,28,1,30,1,28,16,30,1,28,3,30,1,28,1,29,1,7,1,6,1,13,1,7,1,9,1,8,1,24,1,30,2,28,4,7,1,8,1,10,1,12,1,24,2,13,1,6,3,13,2,6,1,30,2,6,1,13,2,8,1,9,1,12,1,28,14,30,1,8,1,9,4,13,2,6,1,13,1,6,1,13,2,9,2,6,1,8,2,13,1,6,1,13,2,6,2,28,1,6,1,9,1,6,6,13,1,6,1,30,2,29,1,6,1,28,1,6,1,29,1,30,1,28,3,30,1,28,3,30,3,6,1,30,1,28,1,30,1,29,1,28,1,30,2,28,2,30,3,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,2,6,1,28,1,13,1,30,1,6,1,28,1,6,1,28,1,13,1,28,1,13,1,6,1,28,2,13,1,28,1,6,1,13,1,30,1,13,1,6,1,13,1,30,1,6,1,7,1,30,1,6,1,30,1,28,1,29,1,30,2,13,1,29,1,6,2,30,2,13,2,6,1,29,1,6,2,13,2,6,2,13,3,6,1,30,1,6,1,28,1,13,4,6,1,13,2,6,1,9,1,13,2,6,1,13,1,30,1,6,1,13,1,9,1,13,1,9,1,13,1,6,2,13,2,9,1,29,1,13,1,7,1,8,1,13,3,8,1,13,1,9,1,7,1,8,1,12,1,13,1,7,1,6,2,24,1,8,1,13,2,6,1,28,34,30,3,29,1,28,1,7,1,6,1,29,1,6,1,7,1,6,1,8,1,6,3,13,1,7,1,8,1,6,1,13,1,6,1,8,1,7,1,13,1,8,3,13,1,24,1,13,1,12,1,9,1,24,1,9,1,17,1,24,1,17,1,12,1,17,1,12,1,17,1,9,1,24,1,10,2,24,3,13,1,8,1,29,2,30,1,6,1,28,1,6,1,30,2,28,1,29,1,7,2,24,2,17,5,5,1,33,70,5,3,13,4,6,3,33,1,5,1,33,1,5,3,33,1,5,1,33,2,5,2,33,76,5,17,33,1,13,1,28,10,6,1,30,1,13,1,9,1,11,1,17,1,16,3,9,2,13,1,30,1,6,1,28,2,9,1,33,1,5,18,28,3,6,1,28,26,30,1,28,4,30,1,28,2,29,1,28,1,29,1,28,1,30,1,28,1,29,1,30,1,28,2,6,2,28,20,29,1,28,2,30,1,28,23,29,2,30,1,28,1,13,1,30,1,7,1,29,1,8,1,6,3,7,1,13,1,24,1,8,2,13,1,10,1,8,1,24,1,8,1,24,1,9,1,8,1,9,1,10,1,9,1,10,2,12,3,24,1,12,1,10,1,12,1,17,2,11,2,17,2,11,1,12,2,17,6,12,2,17,4,13,1,5,87,13,1,9,1,13,1,9,1,17,2,9,1,10,1,17,1,9,1,28,1,30,1,6,2,28,2,6,1,8,1,13,1,17,1,5,9,16,1,9,1,16,1,11,1,17,4,10,1,16,1,12,1,9,1,12,1,17,3,5,61,17,1,6,2,28,10,30,1,28,5,29,1,13,2,8,1,13,1,9,1,17,2,8,1,29,1,28,2,8,1,11,1,10,1,9,1,11,1,24,1,30,1,28,10,30,1,6,1,9,2,8,1,28,3,29,1,28,5,6,1,29,1,13,1,9,4,10,1,9,1,13,3,16,1,5,104,13,1,6,3,13,1,30,1,8,1,13,1,28,1,7,1,13,1,6,1,8,1,7,1,13,1,8,3,11,1,8,1,10,1,13,1,8,2,13,2,7,1,13,2,29,1,13,1,10,1,13,1,8,1,13,1,8,1,9,2,11,1,17,1,10,1,17,1,12,2,17,19,12,1,17,16,11,1,12,1,17,1,10,1,11,2,9,1,11,2,16,1,11,1,16,2,11,1,16,1,11,1,16,3,9,1,11,3,16,1,11,2,16,3,11,1,16,4,17,3,16,2,17,2,16,1,11,1,16,3,17,1,16,1,17,6,10,1,24,1,9,1,13,1,24,1,13,1,24,1,8,1,6,1,8,1,25,1,8,2,24,1,7,1,8,2,24,5,10,1,9,1,24,1,8,1,9,1,24,2,8,1,9,1,10,3,11,1,10,2,9,1,12,1,11,1,17,3,12,1,17,1,12,1,17,1,7,1,29,1,7,1,6,1,25,6,26,2,25,1,26,1,25,2,8,1,6,1,25,1,29,1,25,1,8,1,25,2,8,2,24,1,25,1,24,1,25,2,29,1,8,1,10,1,26,1,24,1,26,1,8,1,25,1,26,1,25,1,27,2,8,1,29,2,8,1,27,1,25,1,29,1,30,1,27,1,29,1,25,1,30,1,29,1,30,2,29,1,6,1,28,1,6,1,28,1,6,1,29,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,4,29,2,28,1,6,2,30,1,6,1,30,1,29,1,28,2,29,1,28,1,30,1,28,34,30,5,7,1,8,4,12,1,13,1,28,28,30,1,28,1,6,1,28,2,30,1,28,1,6,1,28,2,7,1,8,1,13,2,7,1,29,1,28,2,29,2,30,1,7,1,13,1,6,1,13,2,9,1,6,1,8,1,9,1,8,1,9,1,11,1,9,2,13,1,8,1,7,1,13,4,30,1,7,1,6,1,13,1,30,1,6,1,29,1,30,1,28,1,30,1,6,2,30,1,6,1,28,2,30,1,28,156,30,1,6,4,30,3,6,1,28,1,30,1,28,2,30,1,28,10,30,1,28,37,30,1,28,3,30,2,28,1,30,1,6,1,13,1,29,1,7,1,30,1,7,1,6,1,29,1,6,1,29,1,6,2,13,1,30,1,6,1,30,2,13,1,28,1,7,1,6,1,30,2,28,2,30,2,29,1,6,1,7,1,6,1,30,1,28,1,6,1,28,6,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,2,30,1,28,1,6,3,30,2,28,2,6,1,7,1,6,1,13,1,6,1,13,1,29,1,13,1,6,1,8,1,13,1,7,3,13,2,8,1,13,1,8,1,13,2,9,1,24,1,10,1,30,1,29,1,6,2,28,1,6,1,28,31,29,1,28,4,30,1,28,1,30,1,28,34,30,1,28,3,29,1,28,2,29,2,28,3,30,2,28,5,30,1,26,1,29,1,30,1,27,1,26,1,28,1,27,1,26,1,29,1,27,4,25,2,27,1,25,2,8,1,29,1,12,1,24,2,12,1,17,1,25,1,10,2,24,2,9,1,24,1,10,1,9,1,12,1,17,6,10,1,17,1,9,2,12,1,17,15,11,1,17,1,11,3,17,3,12,1,17,2,11,1,17,3,12,1,11,1,17,4,12,1,17,1,11,1,17,2,12,2,17,1,12,2,17,1,12,2,11,1,12,3,11,1,17,1,12,1,11,3,17,3,11,2,17,1,11,2,17,4,12,1,11,4,10,1,12,1,11,2,17,2,11,1,17,4,12,1,17,6,12,1,17,3,11,2,17,7,12,1,17,8,9,1,17,3,10,1,11,1,12,2,24,1,8,1,6,1,13,1,28,1,13,2,33,2,5,51,9,1,13,2,6,1,9,1,30,1,13,3,6,1,13,1,8,1,9,1,7,1,8,2,13,1,8,2,9,1,13,1,8,1,11,1,8,1,9,1,11,1,9,1,10,1,13,1,9,1,8,1,9,1,8,1,11,1,9,2,13,1,10,2,9,1,13,1,9,2,11,1,10,3,8,1,9,1,10,2,9,1,10,1,8,1,13,2,8,1,13,1,10,1,13,4,6,1,28,1,5,6,28,13,30,1,24,1,17,3,24,1,6,1,7,1,6,2,30,1,6,1,28,1,30,1,6,2,8,1,9,1,12,1,10,1,6,1,28,5,8,1,17,2,28,31,30,1,9,1,15,1,}, {30,1,28,1,30,1,29,1,28,2,30,1,28,4,6,1,28,1,6,1,28,1,6,1,28,1,30,1,28,2,7,1,6,1,30,1,6,1,28,8,30,1,28,2,30,2,28,1,30,1,24,1,9,1,8,2,9,1,17,2,9,1,13,2,6,1,7,1,6,1,24,1,17,1,11,1,9,1,11,1,24,1,12,1,10,1,13,1,9,1,24,2,8,1,13,1,14,2,9,1,6,2,30,1,29,1,6,1,8,1,12,1,10,1,8,2,24,3,14,1,17,1,9,1,17,3,11,1,9,1,10,1,8,1,24,1,6,1,28,1,30,1,28,12,30,1,28,7,30,1,28,1,30,1,6,1,13,1,7,1,6,2,9,1,13,1,9,1,13,1,30,1,28,1,30,1,29,1,28,1,29,1,8,1,10,1,9,1,15,1,8,3,6,1,7,1,6,1,7,1,30,2,29,1,30,1,13,2,15,1,24,2,6,1,28,10,30,1,28,2,30,1,8,1,9,1,10,1,13,1,8,1,9,1,13,4,6,2,13,1,30,1,13,2,6,2,9,1,6,1,13,5,30,1,13,1,30,1,7,1,29,2,13,1,8,1,28,1,29,1,30,1,28,2,6,1,28,3,30,1,28,2,30,1,29,1,6,1,28,1,6,1,13,1,28,1,30,1,6,1,28,6,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,5,6,1,28,5,30,1,7,1,28,1,6,1,13,1,28,1,13,1,30,1,28,1,6,1,8,1,30,1,8,1,6,2,13,2,6,3,8,1,6,1,30,3,13,2,6,1,13,1,6,3,13,1,30,1,6,1,28,1,13,1,6,1,13,1,30,1,13,1,28,1,6,3,13,1,9,1,6,1,13,1,6,1,13,1,29,1,30,1,6,1,13,1,30,1,13,1,6,1,30,1,6,1,8,1,13,4,8,2,7,2,8,1,13,1,8,1,13,1,8,1,9,1,8,1,6,2,13,2,8,1,13,1,6,1,8,1,13,3,8,1,7,1,13,1,9,1,7,1,13,2,6,2,8,1,6,1,7,1,30,1,28,35,29,1,30,1,28,1,6,1,28,1,6,1,7,4,13,1,8,1,6,1,13,1,30,1,7,1,13,1,7,1,13,2,7,2,9,1,7,1,13,1,9,1,8,1,24,2,8,1,12,1,9,1,24,1,12,2,10,1,17,4,10,1,17,1,24,1,17,1,10,2,8,1,12,1,24,2,29,1,7,1,13,1,7,1,28,2,29,1,28,1,6,1,30,1,7,1,24,1,10,1,12,2,17,2,16,1,5,1,33,69,5,1,33,1,13,3,9,1,13,1,6,1,30,1,6,3,13,2,9,2,8,1,13,1,8,1,13,7,5,2,33,1,5,1,33,71,5,11,13,1,28,5,30,1,28,2,30,1,6,1,7,1,6,1,28,2,30,1,28,6,30,1,28,1,29,1,6,2,13,1,9,1,8,1,13,2,8,1,13,1,9,1,13,1,28,2,30,1,28,13,30,1,13,1,28,27,29,1,28,1,29,1,30,2,28,1,30,4,29,1,28,1,30,1,28,1,30,2,28,6,30,1,28,43,30,1,6,1,30,1,28,1,29,1,7,1,13,1,6,1,8,1,6,1,13,1,7,1,24,1,8,1,13,1,24,1,13,1,9,2,8,1,10,1,8,1,9,1,8,1,9,1,10,1,12,1,24,1,9,1,12,1,17,1,12,2,9,1,12,1,17,2,9,2,11,1,17,1,12,1,17,1,11,1,17,2,12,2,11,1,17,2,11,1,12,1,17,3,11,1,16,2,30,1,5,88,28,1,11,1,9,2,13,1,9,1,11,1,9,1,8,1,12,1,11,1,29,1,30,1,7,1,28,1,6,1,13,1,7,1,13,1,17,1,5,9,16,1,11,2,16,1,17,4,10,1,17,3,9,1,17,3,9,1,5,60,17,1,13,1,30,1,13,1,28,7,30,1,28,7,13,2,8,2,11,1,17,2,6,1,28,3,30,1,6,1,9,1,12,1,11,1,12,2,13,1,28,11,30,1,7,1,24,1,8,1,24,1,30,1,28,6,30,1,6,1,29,1,6,1,8,1,13,1,11,1,9,1,8,2,11,1,16,1,5,106,9,1,13,1,6,1,7,1,8,1,6,1,7,2,6,1,29,1,13,1,6,1,13,1,7,1,8,1,24,1,10,1,8,1,9,2,12,1,13,3,7,1,13,1,24,1,13,1,8,1,13,2,7,1,13,1,9,1,7,1,8,1,12,1,11,1,17,1,12,1,17,30,12,1,17,9,11,1,17,1,11,1,17,1,16,1,9,1,10,1,11,1,16,2,11,2,9,1,11,1,16,5,11,2,16,1,17,1,11,1,16,2,9,1,11,2,16,3,17,1,16,1,17,2,16,1,17,3,16,1,17,1,16,1,11,3,16,1,17,2,16,1,17,5,8,1,24,1,8,2,24,1,8,1,24,1,8,1,7,1,24,1,25,1,24,1,7,1,6,1,8,3,24,1,8,1,10,1,24,1,10,3,9,3,11,1,9,1,10,2,12,1,9,1,12,1,9,1,12,1,11,1,17,2,12,1,11,1,10,1,12,1,11,1,10,1,17,1,12,1,7,1,6,2,30,1,25,1,27,1,25,3,30,1,6,1,25,1,27,1,29,1,6,2,25,1,26,1,6,1,25,1,6,1,25,1,24,2,8,1,25,1,8,1,24,1,25,1,24,1,6,1,8,1,25,5,24,1,27,2,8,1,27,1,26,1,29,1,26,1,27,1,25,1,8,1,26,1,25,1,27,1,26,1,28,1,30,1,6,1,28,1,6,1,28,2,29,1,28,1,29,1,6,1,28,1,30,1,28,1,29,1,27,1,30,1,27,1,29,1,28,1,30,2,29,1,30,1,29,1,30,1,28,1,6,1,29,1,8,1,6,1,11,1,7,1,6,1,7,1,6,1,29,1,6,1,28,38,29,1,6,1,24,1,6,1,8,2,11,1,9,2,11,1,9,1,28,29,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,6,1,8,1,7,1,13,5,9,1,8,1,10,1,8,1,13,5,9,1,10,1,13,1,11,1,8,1,9,1,8,1,13,1,9,1,8,1,6,1,13,1,6,1,29,1,7,1,6,1,30,1,6,1,30,1,6,1,30,3,13,1,28,1,6,1,28,113,30,2,28,48,30,1,6,1,28,2,6,1,30,1,28,7,30,1,28,4,30,1,28,50,7,1,30,1,7,2,6,2,13,3,7,1,29,1,13,1,28,1,6,1,30,1,28,1,29,1,7,1,30,1,28,1,6,1,30,1,13,1,28,1,6,2,30,1,6,2,28,2,6,1,28,3,6,1,28,1,6,1,28,1,30,4,28,2,30,1,28,1,30,2,6,1,30,2,28,1,6,1,7,1,28,1,30,3,28,1,13,1,6,1,13,1,6,2,7,1,13,1,29,1,9,1,6,1,13,3,7,1,24,2,29,1,8,1,9,1,10,1,24,2,7,1,6,2,30,1,29,1,28,1,30,1,28,28,29,1,28,5,30,1,28,32,30,1,28,2,29,1,28,1,30,1,28,1,29,1,27,1,30,3,28,1,30,1,29,1,28,4,30,1,26,1,29,2,28,1,26,2,28,1,26,1,27,1,26,1,29,1,25,1,27,2,25,1,26,1,8,1,27,1,24,1,8,1,24,2,25,1,24,1,10,1,24,1,25,1,12,1,24,1,10,1,8,1,17,1,10,2,24,1,10,1,17,8,11,3,17,12,12,1,17,2,12,1,17,4,11,1,12,2,11,3,17,2,11,1,17,4,12,1,17,4,11,1,17,1,12,1,17,1,11,2,12,1,11,2,12,2,11,1,17,3,10,1,11,1,12,2,17,1,11,1,17,2,11,1,12,2,17,1,12,2,17,2,12,1,11,1,12,1,17,1,12,2,11,1,12,1,11,1,12,1,17,2,12,1,17,7,12,2,17,8,12,1,17,2,9,1,17,1,12,1,17,2,11,1,17,1,12,1,17,3,12,1,17,3,24,1,11,1,17,1,11,1,9,2,12,1,13,2,9,1,8,1,9,2,10,1,11,2,16,1,5,2,16,2,11,2,13,2,11,1,5,40,11,1,9,1,13,2,9,2,13,1,9,1,13,1,9,2,13,1,8,1,10,1,13,1,8,2,13,1,8,2,13,1,8,1,13,1,9,3,8,1,10,1,11,1,9,1,8,1,9,2,10,1,9,1,8,2,9,1,10,1,8,1,10,1,13,1,8,1,10,2,9,2,8,1,11,1,9,1,13,1,10,1,9,3,11,1,10,1,8,1,9,1,13,3,8,1,9,2,7,1,30,1,28,1,5,6,28,13,29,1,8,1,16,1,17,2,12,1,7,1,6,2,29,1,30,2,28,1,6,1,29,1,13,2,9,1,10,2,28,6,13,1,17,1,10,1,28,4,30,1,28,27,16,1,10,1,}, {30,1,28,1,29,1,28,1,29,1,30,3,28,3,6,1,30,2,28,1,30,1,28,4,6,1,29,1,30,2,28,1,30,1,28,11,30,1,6,1,13,1,9,1,7,1,8,1,17,3,13,1,6,1,13,1,30,2,6,1,9,1,17,1,12,1,9,2,8,1,17,1,12,1,13,1,8,3,6,2,14,2,8,1,28,1,6,1,29,1,6,2,13,1,9,1,15,1,14,1,13,2,8,1,24,1,13,1,9,1,12,1,17,4,11,2,15,1,11,1,8,1,29,1,30,1,29,1,28,11,30,1,28,10,30,1,29,1,7,2,8,1,9,3,29,1,30,1,28,1,30,1,28,1,30,2,13,1,24,1,15,1,9,1,8,2,13,1,6,3,29,1,30,2,28,1,13,3,9,1,15,1,24,1,30,1,28,11,30,1,28,3,9,2,13,1,9,1,13,4,30,1,13,1,6,1,13,5,6,1,13,5,8,1,6,1,13,1,8,1,13,1,30,1,13,1,28,2,30,1,6,1,29,1,6,2,29,2,30,1,29,1,28,1,29,1,6,2,30,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,6,1,28,2,30,1,28,1,29,1,6,1,29,1,28,10,30,1,28,5,13,2,6,1,30,1,29,1,30,1,29,1,6,2,13,2,6,1,13,1,29,1,13,1,29,1,13,2,6,1,13,1,30,1,13,2,30,1,6,2,13,1,6,1,13,1,6,2,30,1,6,1,28,1,29,1,13,2,28,2,6,2,13,1,6,2,29,1,9,1,13,2,29,1,6,3,13,1,6,2,13,2,6,1,13,3,6,3,13,5,8,1,9,1,7,1,13,1,8,2,6,1,13,2,8,1,13,1,7,1,6,1,13,1,29,1,9,1,13,3,8,2,13,1,8,1,13,2,8,1,13,2,6,1,13,2,29,1,28,1,30,1,28,33,29,1,28,1,30,1,6,1,30,1,29,1,6,2,13,2,30,1,7,2,8,2,6,1,13,1,24,1,13,1,6,2,13,1,7,1,8,4,24,1,8,1,24,3,10,2,12,1,10,1,12,1,17,4,12,1,17,4,11,1,8,2,24,1,8,1,7,1,6,1,8,1,29,3,6,1,25,1,8,1,25,1,24,2,12,1,17,2,16,2,5,1,33,67,5,1,13,2,30,1,6,1,30,1,28,4,29,1,30,1,6,1,28,1,6,1,30,1,13,1,28,1,6,1,7,1,6,1,13,1,6,1,29,1,30,1,29,1,30,2,6,1,13,3,5,4,33,68,5,6,33,1,28,4,30,3,13,1,7,1,28,1,30,1,28,5,30,1,28,3,30,1,28,2,30,1,28,1,30,1,6,1,30,1,6,3,7,1,6,1,13,1,8,1,17,1,10,1,11,1,10,1,16,1,17,1,9,3,13,1,6,1,8,1,9,1,11,1,16,1,17,1,30,1,28,34,30,1,28,1,6,1,30,3,28,2,30,1,28,2,30,1,28,2,30,2,28,3,30,1,28,41,30,1,28,2,6,1,30,1,6,3,13,1,6,1,7,1,6,2,8,1,6,1,7,1,24,1,13,1,9,1,24,2,8,1,10,1,24,1,12,1,24,1,8,1,24,1,9,1,10,1,11,1,10,1,24,1,12,1,10,3,11,2,9,1,11,1,12,1,17,2,10,1,17,1,12,1,17,1,12,1,17,1,12,1,11,1,17,2,11,1,17,1,10,1,16,1,11,1,17,1,11,1,33,1,5,89,30,1,16,1,13,1,9,1,8,1,13,1,9,3,24,1,9,1,11,1,30,1,29,1,6,2,7,1,9,1,16,1,5,10,16,1,11,1,9,1,17,4,9,1,13,1,12,1,10,2,24,1,12,1,17,3,11,1,5,60,28,8,30,1,28,1,13,1,28,6,6,1,13,1,9,1,8,2,12,1,17,1,13,1,28,4,6,1,13,1,9,1,12,1,10,1,12,1,17,1,11,1,8,1,29,1,28,7,30,1,29,1,30,1,29,1,13,2,10,1,24,1,7,1,30,1,28,2,30,2,29,1,6,1,7,1,8,1,13,1,8,1,9,2,17,1,9,1,16,1,5,107,9,1,13,2,6,1,8,1,6,1,13,1,29,1,6,1,13,1,7,2,6,1,8,1,24,1,8,3,9,1,24,1,10,1,8,1,13,1,7,1,13,1,7,1,13,1,7,1,10,1,13,2,11,1,8,2,24,1,13,1,10,1,11,1,10,1,12,1,17,1,12,1,17,7,11,1,17,2,12,1,17,11,12,1,17,10,12,1,17,5,12,1,17,2,11,2,9,1,16,1,10,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,16,2,11,2,16,1,11,1,16,1,11,2,16,1,17,1,16,2,11,1,17,1,16,3,17,3,11,1,17,1,11,1,16,3,11,1,9,1,16,1,10,1,16,1,17,3,16,1,17,4,12,1,10,3,8,6,25,2,24,1,8,1,24,4,12,1,10,1,8,1,12,1,8,1,10,2,12,1,24,1,8,1,10,1,24,1,12,1,9,1,24,1,10,2,11,1,12,2,17,2,12,1,17,2,12,3,13,1,7,2,6,1,29,1,8,1,26,1,25,2,29,1,25,1,29,1,25,2,8,1,26,1,25,1,6,2,25,1,26,1,6,1,25,1,8,1,24,1,8,1,24,1,25,2,24,1,8,1,25,1,8,1,24,1,25,1,8,1,24,2,8,1,25,1,8,1,24,1,26,1,27,1,25,1,8,2,26,1,25,2,29,1,27,1,25,1,26,1,30,1,26,1,27,1,29,1,28,1,30,1,6,1,30,1,27,1,30,1,28,1,27,1,28,1,29,3,30,1,6,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,13,2,6,2,9,1,8,1,13,1,30,1,6,1,7,1,13,1,6,2,28,35,30,1,28,1,7,1,30,1,7,1,8,1,24,2,10,1,8,1,9,1,11,1,9,1,30,1,28,8,6,1,28,15,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,6,1,13,1,10,1,13,1,9,1,13,1,10,2,11,1,9,1,13,3,6,1,7,1,13,2,7,1,13,1,9,1,8,1,11,1,8,1,13,2,9,1,13,1,10,1,9,1,7,1,28,1,9,1,28,1,13,1,6,3,28,1,6,1,28,1,30,1,28,98,6,1,28,67,7,1,28,1,30,1,28,1,29,1,28,57,30,1,28,7,7,1,6,1,13,1,7,1,6,1,28,1,30,1,6,2,29,1,30,1,29,1,30,2,6,1,30,3,28,1,6,1,30,2,28,1,30,1,13,1,30,1,6,1,28,1,6,1,28,1,29,1,28,1,30,1,7,1,6,1,30,2,29,1,6,2,28,2,29,1,13,1,28,2,6,1,28,1,30,1,6,1,28,1,6,1,28,2,30,1,7,1,28,1,6,1,30,1,29,1,6,1,13,3,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,2,6,1,13,3,24,1,10,2,6,1,29,1,6,1,29,1,28,1,30,2,28,62,30,1,28,2,29,1,30,2,29,1,30,2,28,1,30,2,27,1,29,1,28,1,27,1,30,1,29,1,30,2,26,1,30,1,27,1,29,2,25,1,27,1,28,1,25,1,27,1,8,1,27,1,25,1,29,1,8,1,27,1,26,1,27,1,25,1,8,1,25,2,26,1,24,1,8,2,24,4,10,1,8,1,24,1,9,1,10,1,24,1,10,1,24,1,9,1,12,1,17,1,12,1,17,5,11,1,17,1,9,1,17,13,12,1,17,1,12,2,17,2,11,1,17,9,12,2,17,8,12,1,17,1,11,1,17,5,11,1,17,2,11,3,12,1,17,1,11,1,12,1,11,2,17,3,12,2,11,1,12,1,17,10,11,1,17,25,10,1,17,3,9,1,12,1,17,5,10,3,8,1,10,1,12,2,9,2,17,1,9,1,12,3,9,1,13,1,10,1,11,1,10,1,11,1,16,2,9,2,11,1,9,1,13,1,11,1,8,2,13,2,9,1,13,1,11,1,5,30,16,1,11,2,13,1,9,1,13,3,8,1,7,1,13,1,8,1,13,1,8,2,13,1,7,1,8,2,13,2,8,1,9,1,8,1,13,1,9,1,8,1,24,1,8,1,11,1,10,1,9,4,8,1,9,2,8,4,13,1,11,1,13,1,11,1,9,3,13,2,9,1,13,1,9,2,13,1,10,1,8,2,10,1,9,3,8,1,13,1,9,1,13,3,7,1,6,2,28,1,6,1,5,6,28,13,30,1,11,1,16,1,12,1,17,1,8,1,13,1,7,1,6,1,30,1,6,1,29,1,28,3,29,1,13,1,9,1,8,1,11,1,30,1,28,5,13,1,17,1,8,1,28,1,30,1,28,29,30,1,10,1,17,1,}, {28,1,30,1,28,12,30,1,28,2,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,8,29,1,30,4,6,1,7,1,24,1,7,1,24,1,11,1,17,2,8,1,6,4,30,1,10,1,17,2,9,3,17,1,11,1,9,1,13,2,29,1,6,1,13,1,14,2,24,1,7,1,13,1,29,2,7,2,12,1,10,1,9,1,13,1,6,1,8,1,13,1,8,1,9,1,12,1,17,3,16,1,15,1,12,1,14,1,15,1,13,1,6,1,28,24,8,2,7,1,6,1,13,1,8,3,6,1,29,1,28,1,29,2,28,1,29,1,8,2,15,2,13,7,30,1,29,2,6,1,7,2,13,1,12,1,9,1,30,1,28,10,30,1,28,3,13,1,8,2,13,1,9,2,13,1,30,1,8,1,6,1,13,1,6,1,13,1,6,1,13,3,8,1,6,1,13,4,6,2,28,2,30,1,28,1,30,2,13,1,28,3,29,1,13,1,30,1,6,5,29,1,30,3,6,1,30,2,28,1,29,1,28,3,30,1,29,1,28,2,30,2,28,5,29,1,30,1,6,1,28,1,7,1,13,1,28,1,30,1,6,1,13,1,6,1,13,1,6,2,7,1,28,1,8,1,6,2,28,1,6,1,8,1,6,4,30,1,13,1,8,1,13,1,6,1,13,1,6,2,8,1,13,1,6,1,13,1,30,1,6,1,30,1,29,1,28,1,29,2,30,2,28,1,6,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,6,1,13,1,8,1,13,3,6,2,13,4,6,1,13,10,8,1,13,1,6,1,13,2,6,1,13,1,9,3,6,1,13,1,9,2,13,1,9,1,7,1,13,1,9,1,13,3,8,2,9,1,13,1,8,3,6,1,13,2,9,1,29,2,28,32,30,1,28,2,30,2,6,1,28,1,7,1,29,1,8,1,13,1,29,1,13,1,7,1,8,1,6,1,8,1,13,1,6,1,8,1,13,2,8,3,6,1,7,2,24,1,13,1,12,1,8,1,10,1,24,1,10,1,24,1,17,1,12,3,17,2,12,1,17,1,12,1,17,7,9,1,8,1,24,1,8,3,29,1,13,1,7,1,13,1,24,1,9,1,12,1,10,1,17,4,16,1,5,1,33,65,5,2,13,1,28,2,30,2,28,2,30,2,28,3,30,1,28,1,30,1,29,1,28,1,6,1,30,1,29,1,6,1,7,1,6,1,30,2,13,1,28,1,29,1,30,1,28,1,6,1,30,1,13,1,6,1,13,1,6,1,13,1,5,4,33,63,5,1,33,2,5,2,30,1,9,1,11,1,9,1,13,1,30,1,28,6,30,1,28,11,30,1,28,1,30,1,28,1,29,1,28,1,30,1,13,1,30,1,29,1,6,2,7,1,8,1,7,1,8,3,13,1,10,2,9,1,8,1,9,2,7,1,13,2,30,1,29,1,28,1,30,1,28,25,6,1,28,1,30,1,29,1,28,1,30,1,29,2,7,1,6,1,28,1,29,3,6,1,28,3,6,1,30,2,28,3,29,1,28,4,30,1,28,3,30,1,28,1,30,2,28,32,29,1,28,1,6,2,30,1,6,1,30,1,8,1,7,1,13,1,6,2,8,5,24,1,9,2,10,2,24,1,10,1,24,1,10,1,11,1,9,1,12,3,9,2,11,1,9,1,12,2,11,1,12,1,9,2,17,1,11,1,17,7,11,2,17,3,9,1,16,2,5,92,13,1,11,1,8,1,9,1,13,1,9,1,13,1,9,1,16,2,8,1,11,1,13,2,7,1,13,1,6,1,9,1,17,1,5,11,11,2,17,5,28,1,12,1,11,1,9,1,11,1,9,1,17,3,16,1,33,1,5,59,9,1,28,2,30,1,6,1,28,4,6,1,28,5,6,2,13,1,8,1,24,1,11,1,9,1,12,1,13,1,28,6,8,1,11,2,16,1,17,1,11,1,17,1,11,1,13,1,30,2,28,5,30,1,28,4,6,1,9,2,8,1,13,2,28,3,30,1,13,3,7,1,9,1,16,1,17,1,16,1,5,109,13,1,7,1,28,1,30,1,6,1,8,1,7,2,13,1,6,2,7,1,13,2,8,1,13,1,24,1,9,2,10,1,12,1,9,1,13,2,6,1,24,1,13,1,7,1,8,1,7,1,13,2,8,1,24,1,13,1,8,1,10,1,12,2,17,5,12,1,17,2,12,1,17,16,12,1,17,5,12,1,11,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,11,1,12,1,17,1,16,1,10,1,11,3,16,1,11,1,16,2,17,1,16,1,9,1,17,1,16,1,17,1,11,1,16,1,11,2,16,1,11,1,16,5,11,1,16,2,11,1,16,1,17,3,16,1,17,1,16,1,11,2,16,1,9,1,16,1,17,1,11,1,17,1,16,1,17,6,9,1,10,1,9,1,24,2,8,2,13,1,8,3,25,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,10,1,12,1,24,1,12,1,24,1,10,1,24,1,12,1,10,1,11,1,12,1,9,1,11,1,9,1,10,1,12,2,17,2,12,1,11,1,17,1,12,1,17,2,10,1,11,1,12,1,9,1,6,2,13,1,25,1,6,1,29,1,6,1,29,1,25,1,6,1,29,1,26,2,25,1,29,1,8,1,25,1,8,1,25,2,26,1,8,2,25,2,24,2,25,1,24,1,8,1,24,1,8,1,24,1,25,1,24,2,8,1,25,8,8,1,25,1,6,1,26,1,27,1,25,2,30,1,27,1,6,1,30,1,6,1,29,1,6,2,25,1,29,1,28,1,30,1,29,2,27,1,26,1,27,1,28,2,26,1,28,1,30,1,28,1,7,1,30,1,29,2,13,1,6,1,13,1,6,1,9,1,7,1,13,2,7,1,6,1,7,1,6,1,28,37,30,1,29,1,6,1,13,1,24,2,10,1,9,1,8,1,9,2,10,1,9,1,28,33,30,1,28,2,30,2,13,1,10,1,9,1,10,1,8,1,10,1,9,3,13,1,8,1,13,1,7,2,6,2,30,1,7,2,30,1,6,2,9,2,13,4,8,1,6,1,9,1,28,1,13,1,28,1,6,1,30,2,28,2,6,1,30,1,28,97,30,1,28,1,6,1,30,1,6,2,7,1,28,65,30,1,28,64,30,1,28,1,30,2,29,1,13,1,6,1,8,1,7,2,6,1,30,1,29,1,6,1,30,1,6,1,30,1,13,1,6,1,7,1,30,3,28,1,30,1,29,1,28,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,28,2,30,1,6,1,28,4,7,1,28,1,29,1,30,1,28,3,29,1,7,1,28,1,29,1,28,1,6,1,30,2,6,1,7,1,30,1,6,1,13,1,29,3,13,2,6,1,13,1,6,1,13,2,6,1,13,1,9,1,24,1,8,2,9,1,13,1,10,1,9,1,8,1,13,1,29,1,30,2,6,1,28,36,30,1,28,22,30,1,28,1,30,1,28,2,30,1,29,2,30,1,28,2,26,1,28,1,27,1,28,2,30,1,29,2,26,3,27,1,26,1,27,1,29,1,25,1,27,1,8,1,6,1,26,1,8,1,25,2,29,1,24,1,8,2,25,4,27,1,8,3,24,5,8,1,12,1,24,2,17,1,24,1,8,1,12,1,10,1,24,1,12,1,17,10,11,1,17,13,12,1,17,2,12,1,17,2,12,1,17,2,12,1,11,1,17,1,11,1,12,1,11,1,17,15,11,1,12,1,17,1,12,1,10,1,12,1,11,1,17,1,11,1,12,1,11,1,9,1,11,1,17,9,11,1,17,37,12,1,17,2,12,1,17,1,12,1,17,2,12,1,17,1,12,2,17,8,12,1,17,1,9,1,12,1,17,2,9,1,12,1,9,3,11,2,12,1,9,2,8,3,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,6,13,1,9,3,13,1,11,1,8,1,9,2,10,1,8,1,9,1,13,3,8,1,9,2,8,1,11,1,9,1,11,1,13,1,8,1,13,1,9,1,13,4,8,1,13,1,8,1,9,1,13,1,8,1,9,1,24,1,8,1,24,1,8,1,9,1,24,1,8,1,9,1,13,1,8,2,9,1,13,1,9,1,24,1,8,1,11,1,8,1,11,1,9,5,13,2,8,1,9,2,10,1,8,8,9,1,8,1,9,1,11,1,9,3,8,1,17,1,9,3,13,5,7,2,30,1,28,1,13,1,5,5,13,1,28,13,7,1,9,1,16,1,11,1,17,1,8,1,13,1,7,2,28,1,30,1,6,1,30,1,28,1,6,2,8,1,13,1,11,1,10,1,6,1,28,4,6,1,9,1,17,1,13,1,28,3,29,1,28,28,12,1,16,1,}, {28,11,30,1,29,1,28,1,6,1,28,1,30,1,29,1,28,1,30,1,28,7,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,13,1,10,1,8,2,9,1,17,1,14,1,11,1,9,1,6,1,13,1,6,2,24,1,17,2,8,1,12,1,16,1,17,1,8,1,9,1,8,1,13,1,7,1,8,1,29,1,15,1,17,1,10,1,6,2,30,1,28,1,13,1,7,1,10,1,24,1,15,1,8,5,10,1,12,3,17,1,16,1,9,1,15,1,11,1,9,1,8,1,30,2,28,22,29,1,30,1,6,1,30,1,7,1,13,1,24,1,15,1,8,1,6,1,30,2,28,1,6,1,7,1,29,1,8,2,12,1,24,2,8,1,13,4,7,2,6,1,29,1,6,1,7,1,6,1,8,2,15,1,29,2,28,9,30,1,28,3,13,1,6,1,9,2,13,1,9,1,8,1,13,1,6,1,8,1,13,3,6,1,8,1,13,3,6,1,13,1,6,1,29,1,13,2,6,2,29,1,13,1,6,1,13,2,6,1,13,1,6,4,13,1,30,1,7,1,6,1,30,1,13,1,28,1,13,1,6,2,13,1,6,1,13,1,30,1,28,1,6,1,28,2,30,2,28,3,6,1,13,1,29,1,28,1,13,1,30,1,28,1,6,1,13,2,30,1,13,1,30,1,13,2,6,1,7,1,6,1,13,2,6,1,28,1,30,1,6,1,28,1,6,2,30,1,6,1,13,2,6,1,8,1,13,1,6,1,8,1,6,2,13,2,6,1,13,2,6,1,13,6,28,1,30,1,13,2,30,1,13,2,6,1,13,5,6,1,13,7,6,2,13,1,6,1,13,3,8,1,13,2,9,1,13,2,9,1,6,1,9,1,13,2,8,1,9,1,8,2,13,1,9,1,8,1,9,2,13,1,9,4,8,1,16,1,9,1,8,1,9,1,13,1,9,1,10,1,9,2,8,1,13,1,29,1,13,1,9,1,6,2,30,1,28,33,29,1,28,2,30,1,7,1,29,1,6,1,8,1,13,2,6,1,13,1,8,2,7,1,13,1,7,1,13,2,8,1,7,2,8,2,24,1,13,3,24,2,8,1,12,1,24,1,12,1,9,1,12,1,17,2,12,1,17,1,12,1,17,10,12,2,9,1,10,1,9,1,8,2,24,1,8,1,24,1,12,3,17,4,5,1,33,65,5,1,9,1,13,1,28,1,30,1,28,3,6,1,28,8,30,1,29,1,28,1,29,1,6,1,28,1,29,2,13,1,29,1,13,1,29,1,28,2,30,1,6,2,30,1,6,1,29,1,30,1,6,1,7,1,6,1,13,3,33,2,5,1,33,49,5,1,33,3,5,1,33,3,30,1,28,1,13,1,6,1,13,1,16,1,17,2,8,1,13,1,28,21,30,1,28,3,29,1,30,1,29,2,28,4,6,1,24,1,13,1,7,1,6,1,13,1,8,2,10,1,8,1,11,1,8,1,13,3,8,1,13,1,7,1,30,1,28,29,29,2,28,1,29,1,28,1,6,1,30,1,28,2,13,1,28,2,29,1,6,1,28,1,30,1,13,1,28,2,30,2,28,1,30,1,28,1,29,1,28,1,6,1,30,1,28,1,30,2,28,5,29,1,28,7,6,1,28,23,6,1,28,1,7,2,6,2,13,1,6,1,13,1,7,1,8,1,13,1,8,1,13,1,24,2,8,1,9,1,8,1,12,1,9,1,24,1,12,1,9,1,10,1,9,1,12,2,10,1,9,1,12,3,9,1,17,1,9,1,12,1,9,1,12,1,17,2,16,1,17,6,12,1,17,2,12,1,11,1,9,1,16,2,5,93,13,1,9,3,8,1,13,1,8,2,9,2,17,1,16,1,11,1,9,1,30,1,13,1,11,1,17,1,5,13,11,1,17,1,12,1,17,3,6,1,9,1,17,1,16,1,9,1,13,1,12,1,11,1,17,2,33,1,5,59,16,1,13,1,28,6,6,1,28,4,29,1,6,1,9,1,13,1,24,1,9,2,12,2,6,1,28,5,6,2,8,1,10,1,11,1,12,2,17,4,11,1,24,1,12,2,8,1,6,1,30,2,28,2,30,1,28,2,13,1,8,1,11,1,9,1,13,1,9,1,13,1,29,3,13,1,8,1,11,1,17,1,5,112,6,1,13,1,24,1,6,1,30,1,13,1,7,1,6,5,30,1,8,4,10,1,8,1,11,2,10,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,29,1,13,1,7,1,8,1,13,1,9,1,10,1,9,1,17,20,12,1,17,5,12,1,17,7,12,1,17,1,12,2,11,1,17,2,12,2,17,1,9,1,16,1,17,1,16,1,11,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,11,1,16,1,11,1,17,1,16,2,11,2,16,5,17,1,16,1,11,1,16,2,17,2,11,1,17,1,16,1,17,1,11,1,16,1,11,1,16,3,17,1,16,1,17,8,11,2,17,1,10,1,8,2,24,1,8,2,13,2,8,1,13,1,24,1,8,2,24,3,10,1,12,1,9,2,10,2,8,1,10,1,8,1,11,1,9,2,10,1,11,1,10,1,12,1,9,1,11,1,12,1,9,1,17,1,12,1,17,1,12,2,11,1,17,1,16,1,11,1,12,2,13,1,7,1,30,1,13,1,25,1,6,1,7,1,6,2,25,1,29,2,26,1,6,1,25,2,6,2,26,1,6,2,7,1,8,1,24,1,7,1,24,2,25,1,24,2,8,1,10,1,7,1,24,2,25,1,8,1,6,1,24,1,8,1,26,1,8,1,25,1,8,1,25,1,8,1,25,1,27,1,25,1,8,1,30,1,6,1,30,2,29,2,7,1,29,1,7,2,6,1,29,1,6,1,28,1,27,1,30,1,29,1,25,1,29,1,27,1,29,1,25,1,6,3,29,2,28,1,13,1,29,1,8,1,24,1,11,1,8,1,13,1,29,1,9,1,13,1,29,1,13,1,28,36,30,1,28,1,6,2,7,1,6,1,8,1,10,1,9,1,24,2,9,3,17,1,28,26,30,1,28,2,30,1,28,1,6,1,28,1,30,3,13,1,9,2,6,1,9,1,13,2,9,1,13,1,11,1,9,1,7,1,8,1,13,2,30,1,28,3,6,2,30,2,7,1,6,2,30,2,7,1,13,1,6,1,9,1,7,1,6,1,7,1,13,1,28,1,30,1,6,1,30,1,28,172,30,1,28,3,30,1,28,59,30,1,28,1,30,1,28,1,30,1,13,1,29,1,6,1,13,2,7,1,29,1,28,1,13,1,28,1,6,2,30,1,28,1,6,2,28,1,30,1,29,1,30,2,6,1,28,1,30,2,13,1,28,1,30,2,28,2,6,1,30,1,28,1,6,1,30,1,28,3,6,1,7,1,30,1,28,1,29,1,30,1,28,2,29,1,7,1,28,1,7,1,28,1,6,3,30,1,8,1,30,1,13,1,30,1,13,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,28,1,7,1,8,1,13,2,10,1,8,1,24,1,10,1,13,1,6,1,29,3,30,1,29,1,30,1,28,1,30,1,28,2,30,1,28,7,30,1,28,40,30,1,28,4,30,3,6,1,28,1,29,1,30,1,29,1,25,1,27,1,30,1,29,2,25,1,29,2,27,5,8,1,27,2,25,1,27,1,25,3,26,1,8,3,25,3,8,1,25,1,27,1,24,1,25,2,12,1,8,1,24,1,8,1,12,1,24,3,8,1,12,1,24,1,13,1,9,1,8,1,17,1,12,1,17,22,12,1,17,8,11,1,17,2,11,1,17,1,9,1,17,4,12,1,17,5,11,1,17,6,12,1,17,3,12,1,11,2,12,1,17,1,11,1,17,2,11,2,17,1,11,1,17,6,11,1,17,2,11,1,17,4,11,1,17,3,12,1,17,23,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,2,9,1,17,1,12,2,17,1,11,1,17,2,10,1,17,1,12,3,9,1,12,1,10,1,17,1,9,1,13,1,11,2,10,1,11,1,24,1,9,2,10,3,8,1,9,2,8,2,9,1,13,2,8,3,13,1,9,2,13,1,9,2,8,2,10,2,8,1,11,1,8,1,10,1,8,2,13,1,9,4,8,2,9,1,13,1,8,2,9,1,13,1,24,1,8,1,11,1,9,1,24,1,13,1,8,1,9,1,13,3,8,1,10,1,13,1,8,2,13,1,8,3,24,1,8,1,10,1,8,1,24,1,8,1,10,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,8,1,9,2,8,1,9,2,8,1,9,1,13,1,8,2,13,1,8,1,9,2,13,2,9,1,13,1,10,1,9,1,11,1,10,1,9,1,11,1,8,1,11,1,8,2,13,3,6,1,7,1,30,3,28,1,5,6,30,1,28,13,30,1,24,1,16,2,24,1,13,1,8,1,13,1,30,1,6,2,28,3,6,3,8,1,10,1,17,1,30,1,28,4,6,1,8,1,17,1,8,1,30,2,28,1,29,1,28,28,14,1,11,1,}, {30,2,28,2,30,1,28,10,6,1,28,1,7,1,28,1,29,1,6,1,28,12,30,2,28,1,6,3,13,2,8,2,9,1,16,1,17,1,16,1,6,1,30,1,29,1,7,1,30,1,13,1,17,2,12,1,17,1,11,1,17,2,9,1,8,2,13,1,7,1,8,1,16,2,15,1,6,1,13,1,7,3,6,1,24,1,10,1,9,1,10,1,13,1,24,3,9,1,10,1,17,3,9,1,8,1,9,2,24,1,13,1,28,4,30,1,28,7,30,1,28,11,30,2,29,1,13,1,8,1,24,1,9,1,10,1,24,1,8,1,30,2,28,1,6,1,30,2,6,1,8,1,24,1,13,1,9,2,13,1,6,1,13,1,7,1,6,2,7,1,30,1,7,1,6,1,13,1,24,1,13,1,10,1,6,1,28,14,30,1,13,2,9,1,6,1,9,2,13,1,9,1,6,1,13,4,9,1,6,1,9,1,6,1,13,1,6,1,13,5,9,1,13,1,9,1,6,1,13,3,6,1,13,1,6,1,13,2,6,1,13,1,30,1,6,1,28,1,13,1,28,1,30,1,6,1,29,1,13,1,6,4,28,1,6,2,30,1,28,1,30,1,6,1,8,1,7,1,6,1,30,1,6,3,13,2,30,1,13,2,6,1,8,1,6,1,13,1,6,1,13,2,30,1,6,1,8,1,13,1,7,1,30,1,6,1,30,2,6,2,8,1,13,3,9,1,13,1,16,1,8,1,13,3,9,1,13,1,9,1,13,1,6,1,16,1,13,2,8,1,9,1,13,2,30,1,8,1,13,3,9,2,13,2,6,1,13,6,6,1,13,1,9,1,6,1,13,1,6,1,9,1,13,2,6,1,13,1,8,1,13,1,9,1,13,1,9,1,13,5,8,1,9,1,13,4,8,1,13,5,11,1,8,1,13,4,8,2,9,1,8,2,9,1,13,1,6,2,8,1,9,1,30,1,6,1,28,33,6,1,30,2,29,1,30,1,6,4,7,1,13,1,8,1,6,1,13,1,6,1,13,2,8,1,7,1,6,1,13,1,24,1,13,1,7,1,13,1,8,5,12,1,10,1,12,1,10,1,17,1,10,1,9,1,17,1,12,1,17,1,12,1,17,6,12,1,17,4,11,1,17,2,12,1,9,2,8,1,12,1,17,1,12,2,17,6,5,1,33,62,5,2,9,2,30,1,28,2,29,1,28,1,30,1,28,11,30,6,28,1,30,2,7,1,28,1,30,1,28,1,13,1,28,1,30,1,29,1,28,1,29,1,30,4,13,1,6,1,13,2,7,1,9,1,5,2,33,48,5,2,6,1,28,2,6,1,9,1,17,2,11,1,9,1,8,1,13,1,30,1,28,10,30,1,28,9,30,1,28,8,6,1,29,1,30,1,28,3,29,1,8,3,29,1,6,1,13,1,8,2,24,2,9,1,8,2,13,1,7,1,8,1,13,2,6,1,29,1,6,1,28,25,29,7,30,1,29,2,7,1,29,1,28,3,30,1,29,1,30,1,13,1,28,2,29,1,30,1,28,1,30,1,28,1,29,1,28,1,29,1,28,6,30,1,28,33,6,1,28,1,29,1,30,2,13,1,6,1,7,1,13,1,7,1,8,1,13,1,8,1,13,1,8,1,24,1,9,1,12,1,8,1,10,1,24,1,11,1,12,2,9,1,12,1,9,1,10,1,9,1,17,1,8,1,17,1,11,1,9,1,10,1,12,1,9,1,12,1,11,1,17,2,11,1,17,3,12,1,17,2,12,1,17,1,11,3,9,2,5,96,11,1,13,1,8,1,13,3,9,1,13,1,5,22,11,1,17,5,9,2,5,2,9,1,8,1,9,1,17,1,11,1,17,1,5,62,13,1,28,3,30,1,28,4,7,1,13,3,24,1,9,1,17,1,10,1,17,1,9,1,30,1,28,5,30,1,13,1,8,1,9,1,11,1,16,1,11,1,17,1,16,1,28,1,9,1,17,1,16,3,10,1,17,2,9,1,13,1,28,2,29,1,28,1,6,1,13,1,9,1,8,1,11,1,17,1,9,3,13,1,8,1,16,2,5,114,13,1,6,1,8,1,6,1,30,1,13,1,6,1,13,1,6,1,29,1,7,1,13,1,29,1,24,1,13,2,24,1,8,1,11,1,17,1,10,1,12,1,13,1,24,1,13,1,30,1,13,1,8,1,24,1,9,1,8,1,9,1,13,1,8,1,24,1,13,1,12,2,11,1,17,11,11,1,17,14,12,1,17,4,11,1,17,1,12,4,17,5,11,2,17,2,11,1,17,1,11,1,17,1,16,2,11,1,16,1,9,1,11,1,17,1,16,2,9,1,10,1,16,1,11,1,16,1,9,1,17,2,9,1,11,1,9,1,16,1,11,1,17,2,16,2,11,1,16,3,17,1,11,1,16,1,17,2,16,1,11,1,17,2,11,2,9,1,17,2,11,1,17,1,12,2,8,1,13,1,6,1,8,1,13,1,7,1,13,1,10,1,8,1,7,1,13,1,8,1,7,1,8,1,10,2,9,1,24,3,10,1,8,1,10,1,9,1,11,2,8,1,10,1,9,1,11,1,9,2,24,2,12,1,9,1,10,1,12,1,11,1,9,1,16,1,17,1,11,1,17,2,11,1,17,1,7,2,13,1,6,1,7,1,29,1,6,1,8,1,7,1,6,1,8,1,26,1,25,1,8,1,26,1,8,1,6,1,25,2,6,2,8,1,24,5,8,1,7,1,24,1,8,1,24,2,8,1,10,1,6,1,24,1,8,1,24,1,25,1,24,1,25,2,6,1,25,1,6,1,25,2,8,1,25,1,6,2,29,1,8,1,7,1,29,1,6,3,25,2,6,2,8,1,30,1,29,1,30,1,29,2,27,1,30,3,6,2,29,1,6,2,13,1,7,1,8,1,12,1,10,1,8,2,7,1,24,1,13,1,8,1,7,1,6,1,30,1,28,35,30,1,29,1,6,2,13,1,8,1,24,1,10,1,24,1,9,1,12,1,11,1,9,2,17,1,13,1,28,10,30,2,29,1,30,1,28,14,30,1,28,1,30,1,7,1,9,1,13,2,9,2,6,1,7,1,13,1,7,1,6,2,8,1,13,2,9,1,7,2,13,1,6,1,30,1,28,3,30,1,29,1,28,1,6,1,30,3,6,1,7,1,13,1,6,1,7,1,13,1,30,1,6,1,30,1,28,1,6,1,28,181,30,1,28,14,30,1,28,7,30,1,28,38,6,2,13,1,30,1,6,1,13,1,6,1,7,1,29,3,6,1,7,1,28,1,6,1,30,1,28,1,7,1,28,2,6,2,28,1,6,1,28,1,30,1,7,1,28,1,29,1,30,1,7,1,6,1,30,1,29,1,28,3,30,1,28,1,30,1,6,1,28,1,30,3,28,1,6,2,28,1,30,2,28,1,6,1,7,1,28,1,29,1,6,4,7,1,6,1,30,1,13,1,6,1,7,1,6,2,7,1,13,1,8,1,7,1,24,1,12,1,9,1,10,1,24,1,9,1,10,1,8,1,30,1,13,1,29,1,6,1,28,1,29,1,28,2,30,1,28,1,30,1,28,51,30,1,29,1,6,1,30,1,6,1,26,1,6,2,30,1,25,1,26,1,25,1,27,1,26,1,30,1,25,2,8,1,26,1,25,1,26,1,25,2,26,1,8,2,25,1,24,1,25,1,24,1,8,1,7,1,25,4,28,1,25,1,8,1,24,1,25,1,26,1,24,3,8,1,24,3,12,1,24,2,8,1,24,1,10,1,12,2,17,8,11,1,17,2,16,1,17,19,11,1,17,2,11,1,12,1,11,1,17,4,11,1,12,1,17,3,12,1,17,2,11,1,17,3,12,1,17,5,12,1,11,2,17,2,12,1,11,1,12,2,17,16,12,1,17,3,12,1,17,28,12,1,17,1,12,2,11,1,17,1,9,1,11,1,12,1,17,1,12,1,17,1,12,1,11,1,17,4,12,3,9,1,11,1,9,2,12,1,10,1,8,1,11,2,9,1,10,1,9,1,7,1,10,1,8,1,10,1,8,1,9,1,8,1,13,1,24,1,9,4,13,1,9,2,13,1,8,1,9,1,10,1,9,1,10,1,11,1,13,1,8,1,11,1,9,1,8,1,10,1,11,1,9,3,8,2,11,1,10,2,11,1,9,3,11,1,9,1,13,1,24,1,13,1,24,1,8,2,11,1,13,1,9,1,11,1,9,1,7,1,8,1,10,1,13,1,10,1,9,1,10,1,13,1,9,2,8,2,9,1,8,1,9,2,11,1,10,1,9,1,10,1,9,3,13,1,9,2,13,1,8,1,13,3,8,1,9,1,8,2,24,1,13,1,8,1,9,1,13,1,9,2,8,1,10,1,11,1,9,1,13,1,8,1,9,2,11,1,8,1,9,1,7,1,13,3,6,1,30,1,6,1,5,7,13,1,28,13,30,1,9,1,17,3,13,2,8,1,13,2,29,1,28,3,30,1,13,2,24,1,10,1,9,1,30,1,28,5,16,2,8,1,28,31,29,1,11,1,14,1,}, {30,1,28,15,30,1,6,1,30,1,6,3,30,2,28,1,30,2,28,9,7,1,28,1,6,1,8,1,24,1,8,1,24,1,17,3,10,1,13,2,30,1,29,1,13,2,17,5,16,1,15,1,12,1,8,1,7,1,13,3,17,2,24,1,8,1,29,1,6,1,13,1,30,1,8,1,9,1,10,1,8,1,13,2,8,1,9,1,7,1,8,1,16,1,17,3,12,1,8,1,9,1,11,1,9,1,8,1,13,1,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,12,29,1,7,1,6,1,8,1,24,1,9,2,6,1,28,1,30,2,6,1,29,1,13,1,6,1,24,1,9,1,24,1,9,1,8,1,9,1,6,1,13,1,30,1,6,4,29,1,6,1,13,2,15,1,9,1,13,1,28,4,30,1,28,6,30,1,28,2,6,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,2,6,1,9,2,13,4,9,1,8,1,13,2,9,1,6,1,8,1,13,2,30,1,6,1,13,1,8,1,6,1,8,1,13,1,8,1,13,3,7,2,13,1,8,1,13,1,6,1,9,1,6,1,8,1,6,1,13,1,7,1,13,3,6,1,13,1,29,1,13,2,30,1,6,1,8,1,13,1,6,2,30,1,8,1,9,1,13,1,8,1,13,3,6,1,13,1,6,1,13,2,6,2,13,1,6,1,13,2,6,1,8,1,6,1,13,2,8,1,13,2,9,2,13,2,11,1,9,1,13,2,9,2,13,2,6,1,13,1,6,1,13,2,9,2,13,1,9,1,13,2,9,2,13,3,6,1,8,1,9,1,13,7,8,1,6,1,13,1,6,2,13,2,6,1,13,2,9,1,13,4,6,1,13,1,8,1,13,1,9,1,13,1,28,1,13,2,9,1,13,1,9,1,13,3,8,1,9,2,13,1,9,2,8,3,9,3,11,2,13,2,8,2,13,1,8,1,6,2,28,30,30,1,28,4,6,1,29,1,28,1,29,2,28,1,7,1,13,1,29,1,6,1,13,1,6,1,8,1,13,5,7,1,8,1,6,1,24,1,7,1,13,1,24,1,9,1,10,1,24,1,10,1,24,1,12,2,17,9,12,1,17,13,12,1,17,9,16,1,5,1,33,55,5,1,33,2,5,1,33,1,5,4,11,1,13,1,6,1,28,5,30,1,28,15,30,1,28,2,30,1,28,11,29,1,30,1,29,1,30,1,6,2,7,1,6,3,9,2,5,2,33,43,5,2,16,2,9,3,13,1,6,2,28,1,30,1,28,11,30,1,28,23,30,1,28,1,30,1,28,3,13,1,29,1,7,1,6,1,29,1,8,1,7,1,13,1,8,1,6,1,7,1,13,2,6,1,7,1,6,4,28,1,30,1,6,1,28,17,30,1,28,1,30,1,28,2,7,1,30,1,29,1,28,2,6,1,30,1,28,1,13,1,6,1,28,1,6,1,30,1,28,2,30,1,28,4,30,1,28,1,29,1,30,1,28,2,6,1,28,1,30,1,28,1,30,1,6,1,13,1,29,1,28,2,30,1,28,34,30,1,6,1,30,2,7,1,29,1,7,1,13,2,8,3,9,1,7,1,24,1,8,1,9,2,24,1,10,2,11,2,9,1,12,2,9,2,12,2,24,1,11,2,12,1,10,1,11,1,17,1,12,2,17,1,11,1,12,1,17,7,11,1,16,1,13,1,9,1,11,1,5,97,16,1,9,1,10,1,7,1,28,1,9,1,5,26,13,1,16,1,17,1,16,1,13,2,5,3,13,1,9,1,13,2,30,1,5,63,9,1,13,1,28,4,8,1,10,1,8,1,9,1,24,1,12,2,17,3,12,1,30,1,28,5,30,1,29,1,7,1,9,1,8,1,9,2,11,1,17,1,13,1,28,1,13,2,28,3,13,1,9,1,12,1,17,1,12,1,9,1,13,1,6,1,13,1,10,1,9,1,16,1,11,1,16,1,11,1,9,1,11,3,16,1,5,116,13,3,6,3,13,2,30,1,7,1,13,1,6,1,29,1,11,1,8,1,13,1,8,1,12,1,24,1,12,1,24,1,11,1,8,1,13,2,8,2,13,2,8,1,13,1,8,1,9,2,13,1,24,1,11,1,10,1,12,1,17,11,11,1,17,5,12,1,17,1,12,1,17,8,12,1,17,2,12,1,17,4,12,2,17,1,12,2,17,1,11,1,9,2,16,3,11,1,17,1,11,1,16,3,17,1,11,1,16,3,11,3,16,4,9,1,10,1,11,2,16,2,17,1,10,1,11,2,17,1,11,1,9,2,11,1,16,2,17,3,16,1,17,1,11,1,8,1,11,1,9,1,10,2,9,3,12,1,24,2,13,1,8,1,13,1,24,1,10,1,24,1,7,1,8,2,24,2,13,1,10,1,24,2,9,1,8,1,10,1,12,1,9,1,24,1,12,1,10,1,24,1,12,1,13,1,24,1,9,1,10,1,9,3,24,1,10,2,12,2,11,1,10,1,16,2,12,1,17,2,12,1,17,1,24,1,29,1,6,2,13,1,7,1,8,1,7,2,8,2,6,1,25,1,6,1,25,1,27,1,25,1,26,1,25,1,8,1,29,1,24,1,25,1,8,1,24,1,8,1,24,1,9,1,24,1,8,2,24,1,6,1,24,3,8,2,7,1,8,4,6,1,25,2,6,4,29,1,25,2,30,1,29,1,6,1,29,1,7,1,29,1,6,1,25,1,6,3,30,1,29,1,6,2,29,1,6,1,7,2,6,2,29,1,6,1,13,2,7,1,6,1,9,1,10,3,24,1,8,3,6,1,30,2,28,34,29,1,30,1,28,1,30,1,7,1,13,1,8,1,24,1,12,1,10,1,9,2,10,1,17,1,9,1,11,1,17,1,9,1,28,12,6,1,30,1,13,2,28,10,30,1,13,2,8,1,9,1,8,1,13,2,6,1,13,2,6,4,28,1,6,1,28,1,13,2,8,1,13,1,8,1,6,1,30,1,28,1,29,1,28,4,30,1,28,4,30,3,6,1,28,1,30,1,28,1,29,1,30,1,28,5,30,1,28,178,30,1,28,7,30,1,28,8,29,1,30,1,28,38,6,1,28,4,30,2,7,3,13,2,7,1,29,1,30,2,28,1,30,5,6,2,30,1,29,2,6,3,30,1,6,2,28,1,29,1,28,1,13,1,30,2,28,1,30,3,28,2,7,1,29,1,6,1,30,2,28,1,13,1,6,1,28,1,30,1,6,2,28,1,13,1,7,1,6,1,13,1,30,2,13,1,30,1,6,1,13,1,6,1,13,2,6,2,7,1,6,1,8,2,11,1,9,1,8,2,9,1,10,1,8,1,28,1,6,1,7,1,30,1,29,1,30,1,29,2,28,2,30,1,28,1,30,1,28,13,30,1,28,2,30,1,28,28,30,2,28,1,27,1,29,1,30,1,6,1,28,1,29,1,6,2,25,1,29,1,25,1,26,1,25,2,26,1,25,2,27,1,25,1,8,1,25,3,30,1,25,3,24,1,6,1,24,1,7,1,8,1,24,1,8,3,24,3,8,1,24,2,8,1,24,5,10,1,24,1,13,1,24,3,10,1,17,2,12,1,17,7,9,1,11,1,12,1,17,22,11,1,17,2,11,1,17,1,9,1,12,1,17,1,12,2,17,7,12,1,17,1,12,1,11,1,17,1,12,1,17,2,12,1,11,1,17,2,11,1,17,2,12,1,17,51,12,3,17,1,12,2,17,1,11,1,17,1,9,2,11,3,12,1,10,3,9,4,11,1,12,2,9,3,10,1,8,1,10,1,13,1,9,1,10,1,9,4,8,1,7,1,11,1,8,1,9,1,13,1,9,1,8,1,13,2,11,1,8,1,24,1,9,2,10,2,9,1,11,1,9,1,10,3,11,1,8,1,11,1,9,5,8,1,9,1,11,1,8,1,9,1,13,1,9,1,8,2,9,1,8,2,9,1,8,1,13,1,11,1,8,1,9,1,8,1,11,1,9,4,13,1,12,1,13,2,8,1,9,2,8,1,9,7,8,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,9,1,7,1,9,2,8,1,24,1,13,2,9,1,13,2,9,1,8,2,11,1,8,1,11,1,9,2,13,1,9,1,8,1,9,1,13,3,6,1,30,1,6,1,30,1,6,1,5,8,28,15,12,1,17,3,8,1,6,1,7,1,30,1,6,1,29,1,28,3,29,1,30,1,6,1,8,1,10,2,28,6,12,1,17,1,7,1,28,1,30,1,28,1,30,1,28,28,14,1,15,1,}, {29,1,28,2,30,1,6,1,30,1,28,6,6,1,30,2,28,2,29,1,30,3,6,1,28,1,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,1,29,1,28,1,30,1,8,1,24,1,8,1,9,1,17,1,14,1,17,1,16,1,13,1,6,2,29,1,6,1,13,1,16,1,17,3,16,1,12,1,17,1,24,1,6,3,8,1,13,1,15,1,17,1,9,1,13,1,6,2,7,1,13,1,6,1,13,1,12,1,24,1,9,1,13,2,8,2,15,1,17,4,16,1,9,3,8,2,28,2,30,1,28,22,29,1,28,1,7,1,29,1,8,1,24,1,10,1,12,1,7,1,30,2,29,1,6,1,28,2,7,1,8,1,17,1,8,1,12,1,8,1,24,1,6,2,13,1,30,1,6,2,13,1,30,1,6,1,8,1,24,1,10,2,7,1,28,14,6,1,9,2,13,1,9,1,13,3,6,1,13,2,8,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,6,1,13,2,9,1,13,1,6,1,8,2,13,2,30,1,8,1,6,2,8,1,13,2,6,1,8,1,13,2,8,1,13,1,8,1,13,4,6,2,13,1,6,1,13,2,28,1,8,2,13,1,6,1,9,2,6,2,9,1,13,2,6,3,13,1,6,1,13,1,6,1,13,2,29,1,9,1,13,1,6,1,13,3,8,1,6,1,9,1,30,1,13,1,6,1,13,3,9,1,13,2,8,1,9,1,13,1,9,1,13,2,8,1,9,1,6,1,13,3,6,1,9,1,13,1,6,1,13,7,9,3,13,1,8,2,9,1,13,1,9,2,8,1,13,3,30,1,13,1,6,2,13,1,6,1,13,1,6,1,13,3,8,1,13,2,7,1,9,1,13,6,30,1,9,5,13,1,8,1,9,1,8,1,9,2,13,3,8,1,9,2,13,1,9,1,8,1,9,1,13,1,9,2,8,1,7,1,28,35,29,1,28,4,6,2,28,1,6,2,29,1,7,1,30,1,6,1,8,1,6,4,7,1,6,3,8,4,24,2,12,2,24,1,12,1,17,4,12,2,17,1,12,1,17,25,16,1,5,1,33,53,6,1,33,1,13,1,9,2,13,1,9,6,28,2,30,1,28,5,29,1,28,1,29,1,30,1,28,8,29,1,30,1,29,1,28,5,30,2,28,1,30,1,28,4,30,2,29,1,28,2,30,1,28,2,30,2,6,1,29,1,28,1,29,1,13,1,11,1,5,2,33,36,5,2,33,1,9,1,13,1,28,22,30,1,28,29,6,1,7,1,28,3,29,2,7,1,30,1,13,1,29,1,6,1,7,1,6,1,13,2,7,1,6,1,13,1,29,2,28,1,30,1,28,12,6,1,28,6,29,1,28,1,30,1,7,1,6,1,30,1,28,1,29,1,6,1,7,1,6,1,30,1,6,1,7,1,30,2,28,2,30,1,28,6,6,1,28,1,6,1,28,2,30,2,28,1,29,1,28,1,6,1,28,2,30,1,28,3,30,1,28,30,30,1,28,1,30,1,6,1,29,1,6,1,7,1,6,2,13,1,8,1,24,1,8,3,24,1,9,4,10,3,9,1,10,1,12,1,9,1,10,1,11,1,9,1,11,1,17,1,12,1,17,1,9,1,17,1,11,1,10,1,12,2,11,1,17,6,12,2,17,1,16,1,11,1,16,2,5,98,13,1,9,1,13,1,8,1,13,2,5,104,11,3,17,2,8,1,9,1,12,1,11,2,12,1,16,1,9,2,11,1,6,1,28,5,30,1,29,1,13,1,8,1,10,1,16,1,11,2,16,1,9,1,16,1,28,1,6,1,28,4,13,1,7,1,8,1,17,2,16,1,10,1,11,2,17,2,16,1,17,1,16,2,17,4,5,117,7,1,13,2,30,1,24,1,7,1,29,1,13,2,30,1,6,1,7,1,29,1,12,1,13,1,24,2,9,1,24,1,17,1,9,1,12,1,24,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,24,1,8,1,13,1,11,1,10,1,9,1,11,2,12,1,17,31,10,1,11,1,17,9,16,1,17,3,16,2,11,1,17,1,11,1,16,2,11,4,16,3,11,2,16,2,9,1,16,1,9,1,16,1,11,1,17,1,11,1,9,3,17,1,16,1,11,1,17,1,16,1,17,4,11,1,16,1,9,3,17,1,9,1,12,1,9,1,12,1,13,1,24,1,8,1,13,2,8,1,13,1,7,1,13,1,24,2,8,2,10,1,24,1,10,1,13,1,24,1,10,1,24,1,8,1,24,1,11,1,9,1,11,1,12,1,10,1,9,1,8,1,9,1,8,1,9,1,13,2,8,1,13,1,10,1,24,1,8,1,24,1,12,1,11,1,10,1,12,2,16,1,12,1,11,1,17,1,11,1,17,2,8,1,13,1,6,1,13,1,29,1,7,1,6,1,8,2,13,1,7,1,8,1,6,1,26,2,25,2,7,1,25,2,7,1,24,1,7,1,8,2,10,1,8,1,13,1,24,4,7,1,24,1,8,1,24,1,8,1,10,1,8,2,24,1,13,1,7,1,13,1,29,1,8,1,29,1,8,1,7,4,29,1,7,1,6,1,7,1,13,1,7,1,13,1,29,1,28,1,6,4,29,1,30,1,28,1,8,1,30,1,29,1,30,1,6,1,7,1,8,1,29,1,8,1,13,1,24,1,17,2,11,1,13,2,10,1,13,1,9,1,24,1,13,1,6,1,30,1,28,35,30,1,28,1,7,1,13,1,6,1,8,1,24,2,12,1,9,1,10,2,9,1,10,1,17,2,11,1,13,1,28,11,13,1,7,1,8,2,13,2,7,1,6,3,13,7,6,1,13,2,6,3,28,1,30,1,28,1,30,2,28,4,7,1,30,1,6,2,13,1,6,1,29,1,28,1,30,1,28,10,30,2,28,1,29,1,28,252,30,3,13,1,7,1,6,1,28,1,7,1,30,1,13,1,6,1,7,1,30,1,13,1,28,1,6,1,13,1,29,1,6,1,30,3,13,1,30,1,6,1,30,3,28,1,6,1,30,1,28,2,6,1,28,1,30,1,28,2,30,1,28,1,6,2,30,2,28,1,30,1,6,1,30,1,13,1,30,2,28,1,30,1,13,1,8,1,13,1,29,3,13,1,30,1,13,1,6,1,28,1,13,1,7,1,13,1,9,1,6,1,24,1,13,1,8,3,10,1,17,1,7,1,6,2,7,2,6,1,30,2,29,1,28,3,30,1,29,1,28,5,30,1,28,1,30,1,28,5,30,1,28,31,30,1,29,3,7,1,25,1,30,1,25,2,30,1,25,1,27,2,6,1,8,1,25,1,29,1,8,2,25,1,8,1,25,2,6,1,25,1,10,1,8,3,24,5,8,1,25,1,24,1,8,1,24,1,25,1,8,2,24,1,12,1,24,1,8,1,12,1,24,2,10,1,24,1,8,2,24,1,9,1,12,2,17,4,12,1,17,5,9,1,17,1,10,1,17,23,12,1,17,1,12,1,17,2,12,2,17,1,11,1,17,6,12,1,17,2,11,1,12,1,11,1,17,32,12,2,17,1,12,1,17,1,12,1,17,27,12,1,17,2,11,1,12,2,17,1,12,1,10,1,17,1,12,1,17,1,11,2,12,2,10,2,8,1,9,1,11,3,10,2,8,1,9,2,24,1,9,2,13,1,8,2,9,2,11,2,13,1,8,1,9,2,8,2,13,1,9,4,8,1,11,1,8,1,11,1,10,2,9,4,10,1,8,1,12,1,9,1,8,1,9,2,8,2,13,1,10,1,9,1,7,1,10,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,10,1,24,2,10,1,13,2,9,3,11,1,9,1,8,1,11,1,13,1,8,1,13,1,9,1,8,1,9,2,12,1,10,2,9,1,8,1,13,2,10,1,8,1,13,1,9,1,13,2,12,1,9,1,13,1,10,1,8,2,9,2,8,1,9,1,8,2,9,1,13,1,10,1,9,1,10,1,8,3,13,1,8,1,13,2,6,1,13,1,6,2,28,1,6,1,5,9,28,3,30,1,28,10,30,1,12,1,17,1,11,2,24,1,7,1,28,1,6,1,28,5,30,1,29,1,6,1,9,1,12,1,10,1,28,5,30,1,11,1,17,1,29,1,28,1,30,1,28,29,30,1,14,1,15,1,}, {30,1,6,1,28,1,6,1,28,2,29,1,28,8,6,1,30,1,28,2,29,1,6,1,30,1,6,1,28,11,29,1,28,2,30,1,28,1,8,1,24,2,11,1,10,1,17,1,14,1,16,1,9,1,7,1,6,1,13,1,7,1,8,1,16,1,17,1,12,1,9,1,12,1,10,1,17,1,8,1,13,1,7,1,8,1,13,2,9,1,14,1,8,2,13,1,6,2,13,1,30,1,10,2,8,2,13,1,9,1,13,1,9,2,17,3,14,2,15,1,13,1,8,1,24,1,13,2,28,4,30,1,28,19,30,1,6,2,13,2,8,1,15,1,24,1,13,1,6,1,30,2,28,1,6,1,28,1,8,2,12,1,8,1,9,1,24,1,9,1,8,1,30,1,6,1,30,2,6,2,28,1,7,1,8,1,12,1,8,1,10,1,8,1,28,9,30,1,29,1,30,1,28,2,30,1,9,1,11,1,8,2,9,1,13,1,8,1,9,1,13,2,8,1,13,4,9,1,8,1,13,3,6,1,8,1,13,1,9,1,8,1,6,3,13,1,8,1,13,1,16,1,29,1,13,1,9,1,13,6,8,2,13,3,6,1,13,1,6,1,13,1,8,1,13,2,8,1,13,1,9,1,8,1,13,2,6,2,30,1,6,1,30,1,13,2,6,1,13,3,6,2,13,4,8,1,13,1,6,1,13,2,6,1,9,3,13,1,9,1,13,1,16,1,8,1,9,2,29,1,13,2,9,1,13,1,9,1,13,1,6,1,9,1,6,2,9,1,13,1,8,1,13,3,9,1,13,1,9,1,13,3,9,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,9,3,13,1,6,1,13,1,9,1,13,1,9,1,8,1,6,1,13,3,9,1,13,2,8,1,13,1,9,1,13,2,8,1,13,1,6,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,13,1,8,1,9,7,11,2,9,1,8,2,9,2,13,1,9,2,28,1,30,1,28,36,30,1,28,1,30,1,6,2,29,1,6,2,30,1,6,2,28,3,29,2,28,2,29,2,30,2,7,1,8,1,13,1,8,1,24,2,10,1,12,1,17,33,16,1,5,1,33,45,5,2,33,1,5,1,33,2,30,1,13,2,6,2,13,1,9,1,13,2,11,1,13,2,9,1,13,1,7,3,28,1,30,1,28,2,29,1,28,1,30,1,29,2,28,6,30,1,28,1,30,1,28,6,30,1,28,6,30,1,28,5,30,1,29,1,30,1,28,1,30,1,28,2,30,1,29,1,7,2,6,1,30,1,13,2,5,3,33,1,5,1,33,26,5,2,33,1,5,1,13,1,30,1,28,17,30,1,28,4,29,1,28,20,30,1,28,13,6,1,29,1,28,1,29,2,28,2,29,1,6,1,29,1,6,1,7,3,13,2,7,1,8,1,30,1,8,1,6,1,28,3,29,1,28,1,29,1,28,6,30,1,28,8,6,1,28,1,30,1,6,4,13,1,7,1,28,1,13,1,6,2,29,1,6,1,30,1,6,1,29,1,28,3,30,1,6,1,28,1,29,1,30,1,28,3,30,1,28,1,6,1,29,1,30,1,28,39,30,2,29,1,6,1,29,1,6,2,7,1,29,1,24,1,8,3,24,1,10,1,8,1,10,1,24,2,9,2,11,1,10,2,9,1,24,1,12,1,17,1,11,1,17,1,10,1,17,1,12,2,10,1,17,1,12,1,17,4,12,1,11,1,17,4,16,1,11,1,16,3,5,100,13,1,11,1,9,1,13,1,5,105,30,3,28,1,13,1,8,2,12,1,9,1,11,1,10,1,9,1,10,1,11,1,13,1,28,1,30,1,6,1,30,1,28,4,13,1,9,2,11,1,16,4,30,1,28,1,30,1,28,4,30,1,9,3,17,8,16,1,5,122,33,1,13,2,29,1,6,1,13,2,6,1,7,2,6,2,7,1,13,2,24,1,13,1,8,2,9,1,10,2,8,1,24,1,6,1,13,1,8,1,24,1,13,1,8,4,24,1,9,1,8,2,12,1,11,1,12,1,10,1,17,1,11,1,17,3,12,1,17,19,12,1,17,6,11,1,17,1,12,2,17,7,11,1,16,1,17,1,16,3,11,1,16,1,11,1,17,1,9,1,11,3,16,4,11,1,17,1,9,1,17,1,11,3,16,2,17,1,11,1,9,1,11,1,12,1,17,2,16,2,17,1,16,2,17,1,16,3,11,1,9,1,11,2,10,1,9,1,11,2,9,1,8,1,24,1,8,1,13,1,24,1,12,1,24,1,8,1,24,1,12,1,24,3,9,1,10,2,13,1,8,1,13,1,24,1,8,1,10,1,9,2,11,1,10,1,9,1,8,2,9,1,13,1,9,1,24,1,8,5,11,1,9,2,12,1,11,1,12,1,11,1,10,1,17,6,24,2,13,3,6,1,13,1,7,1,25,5,6,1,25,2,6,2,8,1,13,1,24,1,13,1,24,2,8,1,17,1,12,1,24,3,12,1,24,2,12,1,24,2,8,1,24,1,13,3,7,1,24,1,29,1,13,1,6,1,8,1,6,1,8,1,29,1,6,3,7,1,29,1,13,1,7,1,6,3,13,1,30,1,29,1,7,1,29,1,7,1,6,1,7,1,8,1,7,1,8,1,29,1,7,1,13,1,24,1,13,1,8,1,24,1,9,1,12,2,9,1,24,1,13,1,9,1,8,1,9,1,13,2,30,1,28,35,30,1,28,1,30,1,7,1,13,1,8,1,13,1,10,1,9,1,10,1,9,1,10,1,9,1,12,1,24,1,11,2,12,1,10,1,30,1,28,9,13,1,9,1,8,1,9,1,8,1,13,1,8,2,13,1,9,4,10,1,9,1,13,2,6,1,29,1,6,3,28,1,30,1,28,2,30,1,28,3,30,2,28,2,30,1,28,2,6,1,28,1,30,1,28,54,30,1,28,169,29,1,28,44,30,1,6,1,13,2,7,1,6,1,29,1,30,1,6,1,7,1,28,1,30,1,6,2,7,1,30,2,7,1,30,2,6,1,7,1,30,1,6,1,30,2,6,1,28,1,30,1,6,1,29,1,28,1,30,3,28,1,6,1,30,2,28,1,6,4,7,1,29,1,6,1,30,1,28,1,30,1,6,1,28,1,29,1,6,2,13,1,28,1,30,1,6,3,13,1,30,1,7,2,10,1,6,1,8,1,24,1,8,2,24,1,9,2,10,1,7,1,29,2,6,2,30,3,27,2,28,1,30,1,28,7,30,1,28,10,30,1,28,22,30,1,28,2,29,1,30,2,6,3,8,1,6,1,8,1,6,1,25,1,8,1,25,1,8,1,25,1,8,3,24,2,7,1,24,1,25,1,24,3,17,1,24,5,12,1,25,2,24,2,25,1,24,1,8,1,24,5,10,1,24,1,10,1,24,2,12,1,8,1,24,2,13,1,17,2,10,1,17,4,12,1,17,2,12,1,17,1,9,1,17,1,8,1,12,1,9,1,11,1,17,19,11,1,17,2,11,2,12,3,9,1,11,1,17,4,11,1,17,2,11,1,12,1,17,2,11,2,17,12,12,1,17,16,12,1,17,1,11,1,12,1,17,1,12,2,17,28,10,2,11,1,17,3,11,2,12,1,17,2,11,2,17,1,8,1,10,1,9,1,10,1,13,1,12,1,9,1,13,1,8,1,11,1,9,1,12,1,11,1,24,1,11,1,9,1,10,1,13,1,8,1,9,6,13,3,9,1,13,1,8,1,9,1,13,1,9,1,8,1,12,1,10,2,8,1,9,1,12,1,9,4,12,1,13,1,9,1,13,1,9,1,13,3,9,1,8,1,10,1,9,1,24,1,10,1,13,1,9,1,8,2,9,4,8,1,24,1,10,1,9,2,10,1,8,2,9,1,11,1,9,1,8,1,9,1,8,1,9,1,10,1,9,1,6,1,9,2,11,1,8,1,9,3,8,1,13,2,8,2,9,1,13,1,9,2,13,1,8,1,13,1,11,1,9,4,7,1,8,2,13,1,10,2,9,3,13,1,9,1,13,1,9,1,13,2,6,1,13,1,6,1,28,1,33,1,5,11,28,14,6,1,10,1,17,2,11,1,10,1,13,1,29,1,6,1,28,1,6,1,28,2,6,2,30,1,8,1,9,1,10,1,9,1,28,6,12,1,11,1,7,1,28,31,6,1,14,1,9,1,}, {28,1,30,4,29,1,30,1,28,1,30,1,28,5,30,2,28,1,7,1,30,1,28,1,30,1,6,1,13,1,30,1,28,10,30,4,6,2,24,1,13,1,10,1,16,1,17,1,14,1,16,1,6,1,13,1,29,1,13,1,6,1,13,1,9,1,17,1,9,1,11,1,12,1,10,1,11,1,13,1,8,1,6,1,7,1,29,1,13,1,10,1,14,1,9,1,13,1,6,1,13,1,6,1,13,1,8,1,24,1,9,2,8,1,13,3,9,1,17,1,16,1,14,1,17,1,14,2,11,1,13,1,24,1,9,1,10,1,6,1,30,1,28,20,29,1,28,2,30,1,8,1,6,1,24,1,8,2,9,1,12,1,13,1,6,1,30,1,28,1,30,2,28,1,7,1,24,1,9,2,10,1,8,1,13,2,7,1,30,1,6,1,13,1,28,1,6,1,30,1,6,1,13,1,24,1,8,1,12,1,8,1,28,8,30,1,28,2,30,1,28,2,6,1,8,1,9,1,13,2,9,1,13,1,9,1,6,1,9,1,13,1,6,1,8,1,13,2,6,1,13,1,8,2,13,1,16,1,6,1,13,1,6,1,13,1,28,1,13,2,6,1,13,1,6,1,13,1,9,1,13,4,9,1,8,1,6,1,8,1,13,1,6,1,13,1,6,1,13,1,8,1,7,1,13,2,8,2,9,3,13,3,6,1,13,4,6,1,8,1,6,2,13,5,9,2,13,1,8,1,6,1,13,2,9,2,13,1,9,1,13,3,9,1,8,3,13,1,6,1,16,1,13,1,8,1,13,2,8,1,13,3,9,2,13,1,9,1,8,1,13,4,8,1,13,2,8,1,9,3,8,2,9,1,8,1,9,1,8,1,9,1,8,1,13,2,9,1,13,1,9,1,13,3,30,1,13,4,9,1,13,2,9,1,11,1,8,1,9,1,8,1,13,1,8,1,13,1,9,1,13,1,9,1,10,1,9,1,13,1,16,1,9,3,11,1,16,1,13,1,9,2,8,1,11,1,13,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,8,1,10,1,8,1,30,1,28,39,30,1,28,2,6,1,28,1,30,1,28,13,29,1,30,1,6,1,29,1,7,1,13,1,10,1,12,2,17,24,12,1,17,8,5,2,33,46,13,2,28,2,13,1,16,1,9,2,13,1,9,1,6,1,13,4,30,1,6,1,8,1,13,1,30,2,7,1,28,1,30,5,6,1,30,1,28,1,30,2,29,2,28,3,30,1,28,3,29,1,30,1,28,1,30,1,28,9,30,1,28,2,29,1,30,1,28,2,30,2,28,1,29,1,6,1,28,1,6,1,30,1,6,1,30,1,6,1,13,2,9,1,16,1,5,1,33,1,5,1,33,23,5,2,9,1,6,1,28,3,29,1,28,32,30,1,28,7,30,1,28,15,30,1,6,1,30,2,28,3,6,1,30,1,28,1,13,1,7,1,28,1,13,1,6,1,8,1,6,1,13,1,30,1,6,2,7,1,30,1,28,1,29,1,28,3,30,1,28,6,30,1,28,1,30,2,28,2,29,1,30,1,6,1,30,1,6,1,30,2,13,1,6,2,30,1,28,1,6,1,29,1,28,1,6,1,29,1,28,2,30,1,29,1,30,1,29,2,28,2,29,1,30,1,28,1,6,1,28,3,6,1,29,1,28,2,29,1,30,1,28,33,30,4,28,1,30,1,28,2,13,1,7,2,13,1,24,1,13,1,8,2,24,1,9,1,24,1,12,1,24,1,11,1,9,1,11,1,10,1,11,1,12,2,17,1,9,2,12,1,10,1,12,2,11,2,17,1,9,1,17,4,11,1,12,1,11,1,17,1,11,1,12,1,11,1,17,2,5,1,33,1,5,210,28,5,30,1,6,2,24,1,11,1,9,2,10,1,12,1,30,1,28,1,30,1,29,1,13,3,9,1,12,1,17,1,11,1,9,2,16,3,5,1,28,1,30,2,28,4,6,1,8,1,9,2,11,2,17,1,5,129,13,1,7,2,30,1,6,1,13,2,6,1,13,1,6,1,29,1,6,1,29,1,8,1,7,1,8,1,12,1,24,1,8,1,10,3,8,1,13,1,9,1,13,1,8,1,24,1,13,1,10,1,9,1,10,2,8,1,13,1,9,1,24,1,12,1,9,1,12,2,11,1,17,3,12,1,17,12,12,1,17,11,12,1,17,4,12,1,17,3,11,3,9,1,11,1,16,1,17,2,16,1,17,1,16,1,17,2,11,3,17,1,9,1,11,2,16,1,11,1,16,1,11,1,8,1,9,1,10,1,9,1,11,1,16,2,9,2,11,1,17,1,11,2,8,1,9,1,13,1,8,1,10,1,11,1,16,1,11,1,17,1,12,1,11,1,10,1,9,1,10,1,9,1,12,1,9,1,24,2,8,1,24,2,8,1,24,2,8,1,24,1,8,1,9,1,24,1,10,2,24,2,8,3,24,1,8,1,12,1,10,2,9,2,11,1,8,2,9,2,13,1,8,1,9,1,24,1,8,2,10,1,8,1,24,1,9,2,12,1,17,1,16,1,11,1,12,1,17,1,12,2,16,1,17,2,10,1,13,3,6,1,8,1,7,1,8,1,7,1,8,2,25,1,8,2,25,1,7,1,8,1,7,1,25,1,7,1,13,1,24,1,10,2,24,1,17,1,10,2,8,1,17,1,12,1,24,2,8,1,10,1,9,1,24,1,10,1,8,1,9,1,24,1,13,1,8,1,24,1,6,2,13,1,8,1,7,3,6,1,13,1,29,1,7,2,6,1,8,3,7,2,13,1,29,1,13,1,6,2,8,1,7,1,6,2,7,1,8,1,13,1,8,1,24,1,10,1,24,1,15,1,12,1,10,1,13,1,8,2,24,1,8,1,9,2,7,1,6,1,28,36,30,2,7,1,6,1,7,2,9,3,12,2,24,1,10,1,9,1,11,1,9,1,12,1,11,1,9,1,13,1,28,7,6,2,13,2,8,3,9,1,8,1,9,1,8,1,13,3,8,1,9,2,13,1,9,1,7,1,30,1,13,1,7,1,30,1,28,13,30,1,28,1,29,1,28,3,30,1,28,166,30,2,6,1,30,1,28,1,30,2,28,1,30,1,28,47,6,1,28,11,30,1,28,34,6,2,7,1,13,1,7,2,30,1,13,2,6,1,13,1,29,1,13,1,28,1,6,2,29,1,13,1,7,1,6,1,30,2,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,28,2,30,1,28,2,13,1,28,1,7,2,29,1,6,2,30,2,29,1,28,1,30,1,6,1,30,1,29,1,30,1,7,1,13,2,7,1,13,1,6,1,30,1,7,1,13,1,8,1,6,1,7,1,9,1,8,2,10,1,8,1,9,1,24,1,13,1,7,1,13,1,7,1,13,1,6,2,27,1,30,1,28,1,30,1,28,1,26,1,28,6,30,2,28,4,30,1,28,27,30,1,28,2,29,1,6,1,30,1,24,1,7,1,25,1,8,1,25,2,26,1,25,3,8,1,24,2,25,1,24,1,8,1,10,1,8,1,24,1,6,1,10,1,8,1,24,2,8,1,24,5,8,1,12,1,10,1,9,1,24,5,8,1,24,1,12,1,24,1,17,1,7,1,17,1,24,1,12,2,10,1,17,1,9,1,17,2,10,1,17,4,12,1,17,2,10,2,11,1,9,1,11,1,9,2,17,30,12,1,17,2,11,1,17,5,16,1,17,6,16,1,17,59,12,1,17,4,10,1,17,3,12,1,9,1,11,1,12,1,10,1,9,1,11,1,10,1,9,1,12,1,11,1,9,3,11,1,8,1,10,2,9,3,8,3,7,1,8,1,13,1,12,1,13,1,8,1,9,3,8,1,13,1,9,3,8,2,13,1,8,1,9,1,13,1,9,5,8,2,9,1,7,1,9,2,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,8,2,24,1,11,1,13,1,8,1,9,2,8,1,10,1,8,1,9,1,11,1,9,1,8,1,9,1,8,1,9,1,10,1,9,1,7,1,8,1,11,2,9,1,12,1,9,1,10,1,9,1,8,1,13,1,9,1,13,1,8,2,9,1,8,1,13,1,9,1,8,1,10,1,13,2,10,1,13,2,8,1,9,2,8,2,9,2,13,1,9,1,10,1,9,1,13,3,30,1,7,1,30,1,28,1,13,1,33,1,5,12,28,14,30,1,17,3,9,2,8,1,7,1,30,1,6,1,30,1,28,2,29,1,30,1,7,1,13,1,10,1,8,1,9,1,28,5,30,1,17,1,11,1,7,1,28,1,30,1,28,29,30,1,9,2,}, {30,2,29,1,6,1,30,1,28,3,30,1,28,6,30,1,29,1,28,1,30,2,6,2,30,1,29,1,6,1,28,11,30,1,28,1,30,1,7,1,13,1,8,1,24,1,9,1,14,2,16,1,10,1,13,1,8,1,7,1,8,1,7,1,17,3,10,1,13,1,12,1,9,1,24,1,8,1,13,1,8,2,6,1,9,1,14,1,9,1,13,2,24,1,6,1,7,1,8,2,11,1,10,1,8,1,24,1,13,2,24,1,12,2,17,1,14,3,9,1,24,1,13,1,24,1,13,1,6,1,28,2,30,1,28,21,29,1,13,1,6,1,8,1,6,1,8,1,24,1,17,1,24,1,6,1,29,1,30,1,28,1,29,1,28,1,29,1,10,2,17,1,24,1,9,1,24,1,8,1,13,1,6,1,30,1,13,1,6,2,29,1,6,1,13,1,15,1,14,1,9,1,7,1,28,6,30,3,28,1,30,1,29,1,28,3,9,7,13,2,9,1,13,2,9,1,13,1,9,1,13,4,9,1,13,3,9,1,6,1,13,1,8,1,6,1,13,1,6,1,13,2,9,2,13,1,9,1,8,1,9,1,13,1,29,1,13,1,8,1,13,1,9,3,13,1,6,1,8,2,13,1,8,1,6,1,13,3,8,1,6,1,9,1,30,1,13,4,9,2,8,1,13,1,8,1,13,1,8,2,13,1,8,1,13,3,11,1,9,4,13,1,9,1,6,1,13,2,8,1,13,2,8,1,13,4,8,1,9,1,13,3,9,2,13,2,9,3,8,2,9,2,13,1,11,1,13,2,9,2,13,1,11,1,9,1,13,2,9,3,13,1,9,1,13,2,8,1,13,8,8,2,9,2,13,3,9,2,11,1,9,1,13,1,8,1,13,3,9,6,11,1,13,1,8,1,9,2,8,1,9,2,13,1,9,2,8,1,9,1,8,1,9,1,17,1,13,1,28,33,29,1,28,7,30,1,28,1,30,2,29,1,28,14,30,2,29,1,30,1,6,1,24,2,12,1,17,14,10,1,17,13,12,1,17,3,16,1,5,1,33,46,13,2,9,1,16,1,17,1,9,1,13,1,7,1,6,1,7,1,6,1,13,1,6,4,7,1,6,1,13,1,30,1,28,1,6,1,28,1,30,1,6,1,29,1,30,1,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,29,1,28,17,29,1,30,1,28,3,6,1,28,3,29,1,30,1,28,1,30,2,28,1,30,1,6,3,30,1,13,1,6,1,9,2,33,1,5,2,33,16,5,3,33,1,13,1,6,1,30,1,28,1,29,1,30,1,28,35,30,1,28,23,6,1,30,1,28,1,29,1,30,1,29,1,30,1,6,1,28,1,7,1,30,2,6,1,29,1,7,1,8,1,6,2,13,1,7,1,8,1,6,3,28,1,30,1,28,2,30,1,28,6,30,1,13,1,30,1,28,1,29,1,28,2,29,3,30,1,29,1,7,1,6,3,13,2,7,1,6,1,28,2,6,1,28,1,13,1,29,1,30,4,6,1,30,1,29,1,28,1,30,1,28,2,30,2,28,40,30,3,28,1,6,1,29,1,8,1,7,2,24,1,13,2,8,2,24,2,10,1,24,1,10,1,8,1,12,1,10,1,11,1,9,1,11,3,12,1,10,1,11,1,12,2,17,1,12,1,11,1,10,1,12,1,17,3,12,1,17,1,10,1,17,1,12,1,11,2,16,3,5,213,28,6,6,2,8,2,16,1,10,1,12,1,9,1,28,2,29,1,8,1,9,1,11,1,24,1,10,2,9,3,16,4,28,3,30,1,28,4,29,1,13,1,24,1,9,1,11,1,16,1,17,1,5,128,6,1,13,1,7,1,6,2,7,1,13,1,7,1,13,2,29,1,6,1,13,1,30,1,13,2,8,1,9,1,8,1,24,1,10,1,24,1,8,2,6,1,13,1,7,1,24,1,8,1,13,2,8,1,24,1,10,1,8,1,13,2,9,2,12,1,11,1,12,1,17,9,12,1,17,2,11,1,17,23,12,1,16,1,17,3,16,1,17,1,16,1,17,2,11,1,16,1,11,1,16,2,11,1,17,1,16,3,11,1,16,1,11,1,17,1,11,3,9,1,16,1,11,2,16,1,11,1,9,4,8,1,11,1,13,1,9,3,11,1,17,2,10,1,17,1,9,1,11,1,12,1,9,1,11,1,9,2,8,1,9,1,8,1,24,1,9,1,24,2,8,3,13,1,24,1,12,1,24,2,9,1,24,1,10,1,8,1,13,2,8,1,24,1,10,2,11,2,10,1,17,1,9,2,13,1,9,2,10,1,9,1,24,1,8,1,13,1,24,1,9,1,11,1,17,1,12,1,9,1,10,1,12,1,17,1,11,1,17,1,11,1,17,2,16,1,17,2,12,1,10,1,24,1,7,1,13,1,7,1,8,1,13,1,7,1,25,1,26,1,25,1,24,1,8,1,7,1,8,1,24,1,25,1,24,1,8,1,24,1,7,1,24,1,10,2,12,1,24,1,12,1,10,1,8,1,24,1,12,1,10,1,24,2,8,1,24,2,9,1,13,1,24,3,8,1,13,1,24,2,13,2,8,1,13,1,8,1,6,1,8,1,6,1,7,1,13,1,8,1,6,1,9,1,8,3,24,2,8,1,13,1,7,1,13,1,7,1,24,1,8,1,24,1,10,1,13,1,17,1,8,2,10,1,12,1,24,1,9,1,11,1,9,1,24,1,11,1,9,1,13,1,7,1,29,1,28,35,30,1,28,1,30,1,29,1,7,1,6,1,13,1,24,2,9,1,24,1,10,1,9,1,8,1,9,1,24,2,11,1,10,2,9,2,6,1,28,1,30,1,28,4,6,1,8,1,13,1,9,2,10,1,9,3,13,3,9,1,13,1,9,1,13,1,9,1,6,2,13,1,29,1,30,1,29,1,28,1,30,1,28,169,30,1,28,6,6,1,13,1,30,1,6,1,7,1,6,3,7,1,13,3,7,1,6,1,7,1,30,2,28,53,30,1,28,8,30,1,28,21,30,1,28,9,30,2,7,1,29,1,7,1,6,2,30,1,29,1,6,1,30,1,7,1,13,1,29,1,6,1,30,1,6,1,30,1,28,2,30,1,6,1,13,1,30,3,28,1,30,1,28,4,30,1,28,2,30,1,29,2,28,1,6,1,7,1,30,1,29,1,6,1,29,1,30,2,28,1,6,2,29,1,30,1,6,1,13,1,6,1,29,1,6,1,30,1,7,1,8,1,30,1,29,2,6,1,13,2,8,1,13,2,8,1,11,1,8,1,10,1,24,1,7,1,8,1,6,1,25,2,27,1,26,1,29,2,6,1,30,1,28,2,29,1,30,1,28,1,29,1,28,29,29,1,28,4,30,1,29,1,8,1,7,1,25,1,7,1,13,1,8,1,24,1,8,2,24,2,8,1,24,1,8,1,24,2,10,1,24,1,12,2,24,5,13,1,24,2,8,1,24,1,8,1,10,1,24,2,6,1,24,1,8,2,12,1,6,1,17,1,24,1,12,1,24,1,9,2,24,1,10,1,12,2,17,1,12,1,17,3,12,1,17,2,12,1,17,1,12,1,17,5,12,2,11,1,10,1,9,2,17,19,12,1,17,3,16,1,17,9,16,1,17,25,12,3,17,1,12,1,10,1,11,2,10,1,11,1,17,4,12,1,9,1,11,1,12,1,17,35,11,1,12,1,11,1,17,1,12,3,9,2,11,3,12,1,11,1,8,1,12,1,11,2,8,1,17,1,9,1,8,1,10,1,11,1,9,1,8,4,13,1,6,1,8,1,10,1,13,1,8,1,13,1,9,1,13,1,8,2,13,4,8,1,9,1,8,2,13,1,24,1,9,1,8,1,13,1,8,1,9,2,8,1,13,1,10,1,13,2,9,1,13,1,8,1,9,1,8,1,13,1,11,1,13,1,8,2,9,1,8,1,10,1,8,1,9,2,11,1,8,1,10,1,8,1,9,2,8,1,9,1,12,1,10,1,9,1,13,1,9,1,13,1,9,1,8,2,9,1,10,1,9,1,11,1,9,1,13,2,8,1,9,1,13,1,9,2,8,2,13,1,9,2,13,1,9,2,8,1,9,1,13,1,9,1,8,1,9,2,13,1,9,1,10,1,9,1,13,3,6,1,13,2,28,1,6,1,28,1,33,1,5,14,28,15,17,3,8,2,13,1,6,3,30,1,6,1,28,2,6,2,24,1,8,2,13,1,28,6,17,2,6,1,28,31,30,1,14,1,10,1,}, {6,1,29,1,7,1,30,1,28,1,29,1,30,1,29,1,28,4,6,1,30,2,28,2,30,2,29,1,7,1,30,2,29,1,30,2,6,1,30,1,28,9,6,2,7,1,8,1,24,1,13,1,11,1,17,3,8,1,6,1,7,1,13,3,17,3,9,2,24,1,9,3,8,1,7,1,13,1,6,1,15,1,14,1,9,1,7,1,13,1,6,1,7,1,13,1,7,1,6,1,10,1,15,1,8,1,9,1,13,1,9,1,8,1,12,2,17,2,14,1,12,1,9,1,8,1,9,1,8,1,24,1,6,1,28,6,30,1,28,5,30,1,28,11,30,1,6,1,13,2,7,1,13,1,9,2,24,1,30,2,29,1,30,3,29,1,17,2,12,1,9,2,8,2,7,1,6,1,29,1,6,5,8,1,9,1,15,1,9,1,14,1,28,7,30,1,28,3,6,1,28,3,9,4,6,1,9,1,13,1,9,1,13,3,9,1,13,6,9,2,8,1,13,4,6,1,13,3,30,1,13,1,30,1,6,1,9,1,13,1,9,2,11,1,6,1,8,1,9,1,13,4,8,2,13,1,8,1,13,2,8,1,13,2,9,1,6,1,9,1,13,1,9,1,13,1,9,1,13,1,6,1,8,1,13,1,9,1,13,3,6,1,13,1,9,1,13,5,9,2,13,1,9,1,13,1,6,1,9,1,13,3,8,2,13,2,8,2,13,2,9,1,16,1,9,2,13,1,9,1,13,1,8,1,9,2,16,1,13,1,9,3,13,2,9,2,8,1,13,2,9,1,13,2,9,1,13,2,9,1,13,1,9,4,13,1,8,1,11,1,8,1,13,1,9,4,8,1,13,3,9,1,13,3,9,3,13,1,9,2,13,1,9,1,13,1,9,2,13,1,9,2,13,3,8,1,11,1,13,1,9,3,8,1,9,2,8,1,13,1,11,1,16,1,13,1,6,1,28,37,29,1,28,1,6,1,29,1,30,1,28,17,30,1,28,1,30,1,6,1,29,1,8,1,12,3,17,27,11,1,16,1,9,3,33,42,5,2,30,1,13,3,8,2,6,1,13,3,7,1,30,2,28,1,6,1,30,3,28,1,6,2,30,1,29,1,28,6,6,1,30,1,28,4,30,1,29,1,28,2,29,1,28,1,29,1,28,1,30,1,28,3,30,1,28,2,30,1,28,11,30,1,28,4,29,1,6,1,28,2,30,1,28,1,30,1,28,1,29,2,30,1,28,1,7,1,6,3,8,1,9,1,16,1,5,4,33,7,5,2,33,1,13,2,9,1,13,1,30,1,28,45,30,1,28,7,30,1,28,12,30,1,28,1,29,1,28,1,30,1,29,1,30,1,28,2,6,1,28,1,29,1,30,2,28,1,29,1,13,1,6,1,7,1,6,2,8,1,24,1,8,1,6,1,28,6,30,1,28,1,30,5,7,1,6,1,30,1,7,1,6,2,7,1,6,1,13,1,6,1,8,1,29,1,7,1,6,3,29,1,6,2,30,2,29,1,30,4,28,1,30,1,28,3,29,1,30,1,6,1,28,5,30,1,28,1,30,1,28,36,7,1,30,1,29,1,30,1,6,2,7,1,6,2,8,1,24,1,8,1,24,1,9,1,8,1,9,1,10,1,9,1,11,1,9,2,12,1,10,1,12,1,17,1,11,2,12,1,17,1,12,1,17,1,11,1,12,2,10,1,12,2,17,3,12,2,11,1,17,1,16,1,9,1,5,215,28,6,30,1,7,1,8,2,9,2,11,1,13,1,28,1,30,1,28,1,30,1,7,2,9,2,12,1,9,2,17,1,5,1,33,1,5,2,28,7,30,1,8,1,13,1,8,1,11,2,17,1,5,129,6,1,8,1,13,1,6,1,29,1,6,1,13,1,7,1,6,1,13,2,6,2,30,1,6,1,8,1,9,1,8,2,11,1,24,1,10,1,9,2,13,3,9,1,8,1,24,2,9,1,10,1,11,1,9,1,13,1,8,2,12,3,17,8,12,1,17,3,11,1,12,1,17,2,12,1,17,3,12,1,17,3,11,2,17,16,16,2,17,4,11,1,17,1,16,1,17,1,16,2,11,1,16,1,11,1,16,2,11,1,9,1,16,1,11,1,9,1,11,3,16,1,17,1,9,2,10,2,8,1,13,1,8,1,13,2,10,1,9,1,24,1,11,1,17,1,11,2,17,1,12,1,16,1,10,1,11,2,9,1,24,1,10,2,9,1,24,4,8,1,24,1,8,2,24,1,10,1,24,1,12,1,24,1,10,1,7,1,13,2,10,1,24,1,12,1,11,2,12,2,11,1,9,1,8,1,24,2,9,1,10,1,9,1,10,1,9,1,8,1,24,1,8,1,24,1,9,1,11,1,9,1,11,1,9,1,17,1,11,1,16,3,17,6,8,1,9,1,13,1,24,1,8,2,25,1,24,1,25,2,8,1,25,1,24,1,7,1,24,2,7,1,10,1,24,2,8,1,24,1,12,3,17,1,10,2,24,3,12,1,10,1,24,1,12,1,24,1,8,1,24,2,10,1,8,1,24,1,8,2,24,1,8,1,7,1,13,2,6,1,7,1,13,2,8,1,13,1,8,1,13,1,24,1,7,1,9,1,13,1,9,1,7,2,24,1,13,2,9,1,24,2,8,1,24,1,8,1,24,1,11,1,12,1,9,1,10,1,17,1,8,1,9,1,8,1,24,1,9,1,10,1,8,2,7,1,30,1,29,1,28,32,30,1,28,3,29,1,6,3,24,1,8,2,13,1,10,1,9,1,24,1,8,1,11,1,24,1,9,1,10,1,9,1,8,1,11,1,10,1,12,2,9,1,8,1,9,1,7,1,6,1,30,1,13,3,11,1,17,1,8,1,9,1,13,1,8,1,6,1,13,1,9,1,8,1,9,1,11,1,13,3,30,1,7,1,6,1,28,20,30,1,28,145,29,1,30,1,6,3,30,1,6,2,13,5,6,1,13,1,6,1,8,1,13,2,8,1,10,1,8,1,9,1,8,2,13,3,6,2,7,1,28,50,30,1,28,8,30,2,28,35,6,2,13,1,29,1,6,4,7,1,6,1,7,1,30,1,6,1,29,1,28,1,6,1,7,1,28,1,6,1,28,2,6,1,28,6,30,1,28,2,29,1,28,1,7,1,30,1,29,1,6,1,7,1,28,1,6,1,13,1,28,1,6,2,29,1,28,1,30,1,6,2,30,1,6,2,13,1,7,2,29,1,6,3,29,1,13,3,7,3,9,1,8,1,10,1,8,1,9,1,10,1,7,1,6,1,7,1,25,2,27,1,30,2,6,1,30,1,6,1,29,1,28,1,27,1,29,1,28,6,30,1,28,2,30,1,28,1,30,1,28,14,27,2,28,1,29,2,28,3,25,1,27,1,6,2,8,2,25,1,8,1,24,1,7,1,10,1,25,1,24,1,10,1,24,1,10,1,24,1,10,1,8,2,24,1,8,1,10,1,12,1,10,1,8,1,24,3,10,1,8,1,24,1,10,1,24,1,8,1,12,1,24,3,8,1,24,2,10,1,24,2,8,1,10,1,24,1,17,1,9,1,12,1,17,2,10,1,17,3,10,1,12,1,17,2,12,1,9,1,12,1,9,1,17,1,10,1,17,1,12,2,10,1,9,2,8,1,9,1,17,33,16,1,17,6,16,1,17,13,12,1,9,1,7,1,24,1,13,3,6,3,13,1,6,1,7,2,6,1,7,2,13,1,30,1,13,1,8,1,13,1,8,2,13,1,9,1,30,1,7,1,24,1,9,1,12,1,8,1,24,1,8,1,24,1,13,3,24,1,12,1,17,19,12,1,11,1,10,1,11,1,9,1,10,1,11,2,9,1,11,1,10,1,11,1,9,1,11,1,10,5,17,1,11,1,9,7,24,1,9,1,13,1,8,2,13,1,9,1,13,1,9,1,13,2,8,1,9,1,13,2,8,1,13,2,9,1,13,1,8,2,9,1,8,2,9,1,13,1,10,1,9,1,13,2,9,4,13,2,9,1,8,1,10,1,9,2,10,1,24,1,13,2,8,2,9,1,8,2,9,1,8,2,7,1,8,2,10,1,9,6,11,2,9,1,13,3,8,1,9,1,7,1,8,2,24,1,13,1,9,1,8,1,13,1,8,1,24,1,13,1,8,2,13,1,9,1,8,1,9,1,8,1,9,1,13,2,7,1,13,1,8,1,6,1,13,2,30,1,28,2,13,1,33,1,5,15,28,14,6,1,17,2,9,1,10,1,24,1,6,2,13,1,30,1,29,1,28,2,30,1,6,1,7,1,8,1,9,2,7,1,28,6,17,1,12,1,8,1,30,1,28,30,30,1,15,1,12,1,}, {28,1,30,1,29,1,28,4,30,1,28,3,29,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,2,28,1,6,2,30,1,28,14,6,1,13,1,9,1,13,1,24,1,17,3,8,1,24,1,6,1,30,1,8,1,13,1,17,2,11,1,9,3,10,1,12,1,11,1,24,2,7,1,6,1,13,1,17,1,15,1,13,1,29,1,6,2,8,1,7,1,8,1,9,2,24,1,9,1,7,1,13,1,8,1,9,1,17,3,16,2,9,2,8,1,9,2,13,1,30,1,28,23,29,2,6,1,13,1,8,1,24,1,10,2,24,1,30,1,6,1,30,2,29,1,28,1,30,1,9,1,12,1,10,1,24,2,9,2,13,1,6,1,29,1,7,1,6,1,30,2,13,1,8,1,10,1,24,1,9,1,10,1,28,1,30,1,28,7,29,1,28,1,30,1,28,3,30,1,17,1,13,3,9,2,8,1,13,1,9,1,13,9,6,2,13,5,6,1,8,1,13,2,30,1,9,1,8,1,13,2,8,1,13,1,8,1,30,1,8,2,13,7,30,1,13,9,9,2,13,3,8,1,13,1,30,2,13,3,9,1,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,29,1,8,1,6,1,9,1,8,1,9,1,13,1,9,1,13,2,9,3,8,1,9,3,13,1,11,1,9,4,16,1,6,1,9,1,13,1,11,1,8,2,13,1,6,1,9,1,13,3,8,1,13,1,8,1,9,4,16,1,9,2,13,2,8,1,13,1,9,2,6,1,13,3,9,1,13,2,9,1,13,1,9,3,13,1,9,2,13,1,8,1,13,1,9,1,11,1,13,1,11,1,9,1,13,1,9,3,11,1,9,4,11,1,8,1,9,1,13,1,9,1,6,2,11,2,17,1,13,1,30,1,28,32,30,1,28,3,30,1,28,24,30,1,29,1,8,1,7,1,12,2,17,24,11,1,16,1,9,1,8,1,6,1,13,1,8,1,9,1,13,1,33,2,5,2,33,38,30,1,9,2,10,1,13,3,8,1,13,1,6,1,30,3,6,1,29,1,6,1,7,1,28,1,29,2,30,4,28,2,30,3,28,2,6,1,30,1,29,1,30,1,28,1,30,1,28,7,29,1,28,32,29,2,30,2,7,1,6,1,7,2,29,1,6,1,7,1,11,1,16,2,5,2,33,1,5,2,33,1,5,4,9,2,30,1,28,55,30,1,28,12,6,1,25,1,30,2,28,1,29,1,28,2,30,2,29,1,30,1,29,1,6,1,29,1,7,1,30,1,13,1,6,3,7,1,13,1,29,1,13,3,29,1,6,1,30,1,28,2,30,1,28,2,29,1,30,1,29,1,28,1,13,1,30,1,13,2,7,1,29,1,8,1,13,1,7,1,13,1,7,1,29,1,13,1,8,1,7,1,13,1,6,1,30,1,6,2,28,2,30,1,28,1,29,1,28,2,29,1,28,1,6,1,30,1,28,1,30,1,28,4,30,1,28,37,29,1,28,1,29,1,28,1,29,1,6,1,13,1,6,1,13,1,7,1,13,3,10,1,24,1,10,1,8,1,12,1,11,1,10,1,11,1,10,1,12,1,24,1,17,2,10,2,11,1,17,1,12,2,11,1,12,1,17,1,12,1,17,2,11,1,17,5,11,1,17,1,11,1,5,217,28,1,29,1,28,5,13,1,9,2,10,2,11,1,13,1,28,4,6,1,29,1,9,1,11,1,9,1,12,1,17,1,11,1,5,3,6,1,28,2,30,2,28,2,30,1,6,1,7,1,8,1,9,1,11,1,16,1,17,1,33,1,5,128,28,1,13,1,8,1,7,1,29,1,7,3,6,1,13,3,7,1,29,2,8,3,10,1,12,1,24,1,10,1,24,1,12,1,24,1,7,1,8,1,24,1,13,1,8,1,24,1,9,2,11,1,8,1,7,1,8,1,11,1,10,1,12,1,17,1,11,1,17,2,12,1,17,38,16,1,17,2,11,1,17,3,16,1,17,1,11,1,17,1,16,1,11,1,17,2,11,1,16,1,9,1,16,3,9,1,16,1,11,2,16,1,11,1,9,1,11,1,8,1,6,1,13,1,8,2,24,1,8,2,9,2,12,2,11,1,12,2,11,1,12,1,17,1,12,2,11,1,10,1,9,1,10,1,9,1,10,1,24,1,8,2,24,1,8,1,24,1,9,2,10,1,12,1,10,1,12,1,9,1,10,1,24,1,13,1,8,1,17,1,10,1,12,1,11,3,9,1,10,1,24,1,8,2,9,3,8,1,24,1,9,3,10,1,9,1,12,1,24,1,9,1,12,2,11,3,16,1,11,1,16,1,17,1,11,1,17,2,12,1,9,2,8,1,24,2,10,1,24,2,8,1,24,1,7,1,13,1,7,1,8,3,10,1,24,1,8,1,9,1,24,1,10,1,12,3,24,1,17,1,24,1,9,1,24,1,10,1,24,1,9,1,10,1,24,1,8,1,24,1,10,1,24,1,9,1,8,1,7,1,8,1,7,3,8,1,13,1,24,1,8,1,6,1,13,2,24,1,13,1,8,2,24,1,10,1,8,1,24,2,8,2,24,1,8,1,24,2,9,2,10,1,8,1,9,1,24,1,17,2,12,2,9,1,10,1,24,1,9,1,24,1,11,1,24,1,13,1,8,1,13,1,28,1,6,1,28,1,29,1,30,1,28,24,30,1,28,6,29,1,30,2,29,1,6,1,30,1,13,1,24,1,7,1,24,1,13,1,10,1,8,1,9,2,10,1,9,1,11,1,9,4,11,1,12,1,11,1,12,1,17,1,12,1,17,2,11,1,8,1,13,4,9,1,13,1,7,3,6,2,10,1,13,1,8,1,13,2,29,1,13,1,7,1,6,1,30,1,28,21,30,1,28,11,30,1,28,127,6,1,13,1,9,1,13,1,8,1,9,1,8,1,13,3,8,1,13,1,7,1,13,1,9,1,8,1,9,3,8,1,10,1,9,3,10,1,8,1,9,1,13,2,24,1,13,1,9,1,13,2,6,1,28,51,30,1,28,7,30,1,28,1,30,1,28,33,30,1,29,1,7,1,29,1,30,1,13,1,29,1,13,1,6,1,30,1,29,1,7,1,6,1,7,1,6,3,29,1,28,1,30,1,6,1,30,1,28,2,30,1,28,6,7,1,28,1,30,2,6,2,30,1,28,1,29,1,28,1,6,1,28,1,6,1,28,1,6,1,29,1,6,1,28,1,13,2,6,1,30,1,7,1,13,1,6,1,13,1,30,1,6,2,30,1,6,1,9,1,6,1,8,1,9,5,10,1,8,2,6,1,25,1,6,1,25,1,6,2,29,1,30,2,28,2,29,1,25,1,27,1,28,1,29,2,28,1,29,2,28,19,30,2,26,1,29,1,28,1,30,2,28,1,8,1,25,1,6,1,24,1,13,1,24,1,8,2,24,1,8,1,24,2,8,1,24,2,12,1,24,1,12,2,24,1,12,3,8,1,12,1,24,2,12,1,24,3,8,2,12,1,24,1,12,1,13,1,24,1,8,1,24,3,7,1,12,1,10,1,12,1,17,1,12,1,17,4,12,1,17,3,10,1,17,3,11,1,10,1,17,1,12,2,9,1,10,1,9,1,17,2,10,1,12,1,9,2,10,1,17,30,16,1,17,3,16,1,17,3,16,1,17,10,10,1,9,1,24,1,6,1,13,1,6,1,7,1,13,2,6,1,7,1,13,2,7,2,6,1,7,1,6,2,30,1,29,2,6,1,29,1,28,3,30,1,29,2,6,2,7,1,6,2,29,1,30,1,28,1,30,1,28,6,30,1,6,1,9,1,17,14,12,1,17,3,11,1,17,1,10,1,11,1,12,1,11,2,17,1,11,1,9,1,12,2,11,2,17,1,12,1,9,1,12,1,9,1,10,1,11,1,13,1,10,1,11,1,12,3,9,1,13,1,11,2,13,1,9,1,13,1,8,1,13,2,8,2,13,2,9,1,13,1,8,2,12,1,8,1,9,2,13,1,9,1,8,1,9,2,8,1,13,1,8,1,9,2,12,1,13,2,11,1,13,1,9,1,8,2,9,1,8,1,9,1,13,1,24,1,10,1,9,4,13,1,8,1,6,1,9,1,12,1,9,1,8,1,9,3,17,1,9,2,10,1,11,1,9,1,8,1,9,1,13,1,9,1,8,1,7,1,13,3,8,2,9,1,8,1,13,1,8,2,24,1,9,1,8,3,13,1,8,1,13,2,9,1,13,1,6,1,13,2,6,1,30,1,6,1,30,1,5,17,13,1,28,14,6,1,17,1,12,1,17,1,24,1,13,3,29,1,13,1,29,2,30,1,29,1,30,1,13,1,24,1,9,1,8,1,13,1,28,6,17,2,7,1,30,1,28,30,29,1,17,1,10,1,}, {28,3,30,1,28,10,29,1,30,2,28,2,29,1,6,1,28,1,6,1,28,1,29,1,7,1,6,1,29,1,28,7,30,1,28,1,30,1,6,1,8,1,9,1,8,1,24,1,12,1,17,3,9,1,13,2,7,1,8,2,10,1,17,1,16,2,12,1,13,1,9,1,12,1,24,1,9,1,6,1,8,2,24,1,14,1,9,1,8,1,7,1,6,1,13,1,29,1,13,2,12,1,10,1,24,1,8,1,24,1,13,1,8,1,9,1,17,2,16,1,17,1,10,1,11,1,13,1,9,2,8,1,6,1,30,1,28,23,30,1,7,1,30,1,24,1,8,1,24,2,9,1,24,1,6,1,30,2,28,3,6,1,9,1,12,1,17,1,10,1,24,2,8,1,29,1,13,1,6,1,13,1,6,4,8,2,9,1,15,1,9,1,30,1,28,6,29,1,28,2,30,1,28,4,7,1,16,1,13,1,9,1,8,2,9,2,8,1,13,1,8,1,9,1,13,4,30,1,13,2,6,1,13,1,29,1,13,1,8,1,13,3,6,1,13,3,9,1,13,8,8,2,6,2,8,1,30,1,13,3,8,4,13,3,9,1,13,1,9,1,8,1,6,1,8,1,13,2,9,1,11,1,13,3,6,1,13,1,9,1,13,1,8,1,9,2,13,3,9,1,13,1,9,1,8,1,13,1,9,1,6,1,13,1,9,1,13,1,9,2,11,1,16,1,11,1,13,1,11,1,9,2,13,3,9,1,13,2,8,1,13,2,9,1,13,2,8,1,9,1,8,1,13,1,9,1,13,1,8,1,13,1,11,1,9,3,11,1,9,7,8,1,9,1,13,1,9,3,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,8,1,9,1,11,1,9,3,8,3,13,1,9,1,13,3,9,1,13,2,9,1,13,1,9,5,8,1,9,1,8,1,10,1,9,3,7,1,28,41,29,1,28,20,26,1,25,3,8,1,12,1,17,1,12,1,17,19,9,2,13,1,6,1,13,6,9,2,13,2,33,4,5,1,33,31,5,1,28,2,13,2,6,1,13,2,8,1,7,1,29,1,28,1,6,1,30,2,28,1,30,2,29,1,28,2,30,2,28,1,29,1,30,2,29,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,29,1,28,1,30,1,28,1,30,4,28,3,26,1,28,2,30,2,28,1,30,1,28,20,30,1,28,3,30,1,28,4,29,1,30,1,6,1,30,1,6,1,7,1,29,1,13,2,24,1,9,1,13,5,17,3,8,1,13,1,6,1,28,44,6,1,28,14,30,1,28,9,30,1,28,1,26,1,30,1,28,5,29,1,28,1,29,1,30,3,6,1,29,1,30,1,6,1,29,1,6,2,7,1,6,2,24,1,8,1,12,1,9,2,13,3,28,1,7,2,6,1,7,1,29,2,13,2,7,1,8,1,13,2,6,1,13,1,6,2,13,4,24,1,7,1,6,2,30,1,29,1,6,1,28,2,30,4,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,35,30,1,28,4,7,1,6,1,29,1,6,1,7,1,13,1,8,4,24,2,9,1,24,1,10,1,11,1,8,1,11,2,10,1,12,3,11,1,10,1,9,1,17,3,9,1,17,1,16,1,17,2,12,2,17,1,11,1,16,1,11,1,5,219,28,1,6,1,28,3,30,1,28,1,7,1,13,1,9,1,8,1,9,1,11,1,6,1,30,1,28,2,30,1,28,1,6,2,9,1,11,1,8,1,17,1,9,1,5,3,28,2,6,1,28,2,29,1,13,1,8,1,9,1,11,1,13,1,11,1,9,1,17,1,16,1,30,1,5,128,28,1,10,1,7,2,6,2,13,2,6,1,13,2,6,2,29,1,6,1,8,1,9,1,8,2,24,1,12,1,9,1,12,2,7,1,8,2,13,2,8,1,10,2,8,1,10,2,13,2,9,1,10,1,12,1,17,1,12,3,17,6,12,1,17,4,11,2,17,25,16,1,17,1,16,2,17,1,16,3,11,1,16,3,11,1,17,1,16,2,17,1,11,1,9,1,16,1,11,1,16,1,9,1,11,1,16,2,17,2,10,1,12,1,10,1,8,1,13,1,24,1,13,1,24,1,8,2,11,1,9,1,12,1,9,2,12,1,17,1,11,1,12,2,11,1,17,1,9,3,12,1,10,2,8,1,9,1,24,1,8,1,13,1,8,1,24,1,9,1,12,1,10,1,11,1,10,1,12,1,7,1,8,1,24,1,10,3,9,1,12,1,10,1,11,1,17,1,13,1,8,1,13,1,11,1,12,1,9,1,8,1,9,1,8,1,24,1,9,1,24,1,12,1,8,1,10,1,12,1,9,1,12,1,11,1,10,1,16,2,11,1,16,1,17,1,11,1,17,5,12,1,8,1,13,1,24,2,8,1,24,2,13,1,10,1,24,1,10,1,24,2,8,1,9,1,8,1,24,4,9,1,10,1,12,2,17,1,10,2,12,1,10,1,8,1,12,1,24,2,10,1,8,1,12,1,8,1,24,1,9,1,24,1,10,1,8,1,10,1,13,1,24,1,6,1,24,1,9,1,13,1,8,3,24,1,8,1,13,2,24,1,13,1,8,2,13,2,24,2,9,1,13,1,12,1,10,1,9,1,10,1,12,2,17,1,9,1,12,1,17,1,9,1,10,1,9,1,13,1,24,1,9,2,8,2,13,1,6,1,30,1,28,1,29,1,28,9,30,1,28,24,30,2,6,3,13,3,8,1,24,1,9,1,8,2,10,1,24,2,9,1,24,1,8,1,12,1,9,1,11,1,10,1,9,1,10,1,12,1,11,2,9,1,17,1,9,1,7,1,13,1,6,1,9,1,30,1,9,1,13,1,6,1,13,1,6,1,13,3,8,2,13,1,6,1,29,1,30,1,6,1,30,1,28,19,30,1,28,4,30,1,28,131,6,2,13,2,8,1,13,1,8,1,9,1,8,2,7,1,9,2,8,1,9,1,8,2,9,1,8,1,9,2,10,1,9,2,24,1,9,2,10,1,8,1,11,1,9,2,8,1,9,2,13,3,6,1,30,4,28,51,29,1,28,5,29,1,28,5,30,1,28,30,30,1,6,2,13,1,30,1,6,1,30,1,7,1,6,2,28,1,13,1,29,1,28,1,29,1,30,3,28,1,30,1,28,2,30,1,28,5,6,1,28,1,6,1,7,1,30,1,28,1,30,1,29,3,30,2,7,1,6,1,13,1,28,1,7,1,6,1,13,1,28,1,6,1,30,1,6,1,8,1,28,1,13,1,29,2,7,2,13,1,6,1,30,1,13,2,8,1,9,1,8,2,9,1,24,1,8,1,13,1,7,2,25,2,6,1,25,1,6,1,29,1,6,1,29,1,30,1,27,1,30,1,28,1,30,1,29,1,27,1,28,1,29,2,30,1,29,1,30,1,28,14,29,1,27,1,28,1,27,1,25,1,26,1,29,3,25,1,7,1,8,2,24,2,7,1,10,1,24,2,8,1,10,2,24,1,12,1,10,1,24,2,12,1,24,3,10,1,12,1,9,1,17,1,13,1,9,2,8,1,24,1,10,1,8,1,12,1,8,1,12,1,24,2,10,1,24,1,8,1,10,1,12,1,24,1,12,3,17,4,24,1,17,2,24,1,9,1,10,1,12,2,9,1,17,1,8,1,17,1,9,1,12,1,10,1,12,1,10,1,12,2,9,1,11,1,9,1,11,1,10,1,17,6,16,1,17,21,12,1,17,16,8,1,9,1,24,1,6,1,13,1,8,1,6,2,7,2,6,1,25,1,6,1,25,1,13,1,8,1,7,3,30,1,6,2,28,1,29,3,30,3,28,2,29,1,28,3,30,1,28,2,30,1,29,1,30,2,28,10,30,1,10,1,17,17,12,1,17,4,11,2,10,1,11,2,17,1,12,1,9,1,17,1,24,1,10,1,12,1,10,1,12,1,10,1,11,1,17,1,10,2,9,1,17,1,10,1,8,1,17,1,9,2,8,1,9,1,13,1,11,1,8,1,24,1,9,3,6,1,8,4,13,1,9,1,13,2,10,1,7,1,9,2,8,1,9,1,13,1,9,1,10,1,8,1,9,1,17,1,11,1,8,2,10,1,9,1,10,1,8,1,9,3,8,3,6,1,8,1,9,1,8,1,9,1,13,1,10,1,9,1,8,1,9,2,12,1,9,1,12,1,9,2,13,1,8,1,13,1,9,1,13,3,8,4,9,1,8,1,24,1,8,3,13,1,9,1,13,2,8,1,13,1,8,1,13,2,6,2,7,2,28,1,6,2,13,2,5,18,30,1,28,14,13,1,17,3,9,1,13,1,8,1,13,1,6,1,13,1,6,2,30,1,7,1,6,1,13,1,8,1,9,2,13,1,28,5,7,1,17,2,6,1,28,1,30,1,28,29,30,1,14,1,9,1,}, {30,1,28,2,29,1,28,1,30,1,28,7,30,2,28,5,6,1,30,1,6,1,29,1,30,1,28,1,30,1,6,1,30,1,28,6,29,1,6,1,29,1,6,1,13,1,9,1,8,1,13,1,12,1,17,1,14,2,24,1,7,1,6,1,13,2,8,1,17,3,9,1,11,2,9,1,24,1,9,1,24,1,8,2,6,1,8,1,14,1,10,1,13,1,6,1,7,1,6,1,8,1,6,2,10,1,12,1,24,1,13,1,8,3,9,1,17,4,11,2,8,1,9,1,8,1,16,1,28,10,30,1,28,14,30,1,7,1,8,2,7,1,8,1,17,1,12,1,24,1,6,1,30,2,6,1,29,1,28,1,30,1,9,1,10,1,12,1,9,1,8,1,13,1,24,1,7,1,6,5,30,1,8,2,9,1,24,1,8,2,6,1,28,6,30,1,28,2,30,1,28,4,9,3,8,1,13,1,8,1,9,1,13,1,9,1,13,6,6,1,13,1,6,1,13,5,6,1,13,2,6,1,13,6,9,1,6,1,13,5,9,2,13,1,6,1,13,3,29,1,9,1,8,1,13,1,8,1,13,1,11,1,8,1,13,1,6,1,8,1,9,3,8,1,13,2,29,1,9,1,13,9,16,1,9,1,13,2,9,2,13,2,16,1,11,1,9,2,16,1,9,3,13,1,9,6,11,2,9,1,11,1,9,3,16,2,9,4,8,2,9,2,13,1,9,2,8,1,9,2,8,1,9,2,13,1,8,1,13,2,9,1,13,1,16,1,13,1,9,1,11,1,9,3,16,1,9,1,11,1,9,1,11,1,9,3,11,1,9,1,16,1,9,3,8,1,16,1,11,1,8,1,11,1,9,4,11,1,13,1,9,1,8,1,9,4,8,1,13,1,9,1,17,1,16,1,17,1,9,1,16,1,6,1,28,60,30,1,28,1,29,1,8,1,25,1,8,1,10,1,17,20,13,1,9,1,13,3,8,1,13,1,9,1,8,1,9,1,13,10,33,4,5,1,33,27,13,1,6,2,13,2,7,1,6,2,30,1,7,1,29,1,6,1,28,2,30,1,28,2,29,1,28,8,30,1,28,6,30,2,28,2,30,1,28,4,30,1,28,1,30,1,28,3,30,1,29,1,28,3,30,1,28,1,6,1,29,1,6,1,30,1,28,7,30,1,28,16,6,1,28,1,7,1,30,1,6,1,29,1,13,2,7,1,6,1,7,1,6,1,7,1,9,1,12,1,17,2,16,1,8,1,28,49,29,1,28,23,30,2,6,1,29,1,28,6,29,1,28,1,29,1,28,1,30,1,6,1,28,3,29,1,13,1,7,1,6,1,7,1,13,1,7,1,8,1,24,2,12,2,8,1,13,2,7,3,6,1,13,2,7,1,8,1,13,2,6,1,8,1,13,1,8,1,7,1,13,1,6,1,8,1,13,1,7,1,8,1,29,1,7,1,6,1,28,1,30,2,29,1,30,3,28,4,30,1,28,6,30,1,28,37,30,1,28,1,30,1,29,2,30,2,6,3,8,1,7,1,8,1,13,1,8,1,24,1,8,1,9,1,12,1,9,2,12,1,9,1,11,1,17,2,10,1,17,1,11,1,9,1,17,1,12,2,17,1,12,1,16,1,17,5,12,1,17,1,16,1,11,1,5,220,28,5,30,2,13,1,8,1,9,1,10,1,9,2,13,1,28,2,30,1,28,3,13,1,9,1,10,2,16,1,28,1,5,3,28,2,30,1,29,1,24,1,10,1,12,2,11,1,17,1,9,1,11,1,17,2,28,1,5,128,13,1,28,1,10,1,13,1,7,1,13,1,29,1,13,2,7,1,8,1,13,1,6,1,7,1,13,4,24,1,13,1,11,2,10,1,12,1,24,1,7,1,13,1,8,2,9,1,24,2,9,3,8,1,7,1,9,2,10,1,12,2,11,1,17,1,12,1,17,4,12,1,17,6,12,1,17,9,12,1,17,14,11,1,16,2,17,1,11,1,16,4,17,1,16,2,17,1,16,1,17,3,9,1,16,1,11,1,16,1,17,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,11,1,9,1,7,1,24,1,8,1,9,1,13,1,8,1,13,1,24,1,10,1,9,1,12,1,11,1,17,1,12,1,17,1,9,1,12,1,17,1,11,3,12,3,9,1,12,1,24,2,9,1,8,1,24,1,10,3,12,1,17,1,10,1,12,1,17,1,8,1,13,1,8,2,11,1,24,1,9,1,11,1,10,1,12,1,10,1,8,1,10,1,13,2,24,1,10,1,24,3,8,1,10,1,8,1,24,2,9,3,17,1,10,1,11,3,17,1,16,2,11,1,17,7,9,1,11,1,9,1,24,1,9,2,8,1,24,1,8,1,24,1,13,1,24,2,12,1,8,1,24,2,9,1,24,2,10,1,9,2,12,2,9,1,10,1,12,1,10,2,11,3,8,1,24,1,9,1,10,1,8,2,24,1,8,1,7,1,10,1,12,1,13,1,8,1,24,1,13,3,10,1,8,1,13,1,24,1,13,1,10,2,8,1,13,1,9,2,10,2,8,1,9,1,10,1,24,2,9,1,17,4,12,1,10,1,24,1,9,1,11,1,9,1,24,1,8,1,24,2,13,1,8,1,24,1,6,1,29,2,30,1,28,1,30,1,28,2,30,2,28,7,30,1,28,4,29,1,28,2,30,1,28,4,7,1,28,2,29,1,28,2,30,1,28,1,30,2,13,1,6,1,7,2,8,2,7,1,13,1,8,1,7,1,24,2,8,3,24,1,8,1,24,1,9,2,10,1,12,1,10,2,12,1,11,2,10,1,11,1,8,1,13,1,7,1,6,1,13,5,6,1,13,1,7,1,9,1,6,1,13,2,30,1,13,1,29,1,28,1,30,1,6,1,28,18,30,1,28,131,6,1,29,1,13,1,7,1,13,2,8,2,9,1,8,1,9,1,13,1,8,2,13,1,9,2,10,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,7,1,9,1,13,1,9,4,10,1,9,1,13,1,10,4,8,1,10,1,13,1,8,1,13,1,8,1,7,1,6,1,30,1,28,44,30,3,28,13,30,1,28,2,30,1,28,32,6,1,9,1,6,2,29,1,28,1,6,1,28,1,6,1,8,1,7,1,6,1,28,2,30,1,7,1,28,3,30,1,28,2,30,1,28,3,30,1,28,3,29,1,28,3,29,1,30,1,6,1,28,1,30,3,28,1,30,1,13,1,6,2,29,1,7,1,8,1,13,1,7,1,6,2,30,1,6,2,28,1,13,3,8,1,13,1,24,1,13,1,8,1,10,1,13,2,8,2,7,1,8,1,6,1,25,1,6,2,27,1,29,1,25,1,26,1,27,1,28,1,25,1,29,1,30,2,28,1,30,1,27,1,29,1,28,3,30,1,28,11,29,1,25,1,27,1,25,1,29,1,8,2,30,1,8,1,24,1,29,1,8,1,24,3,10,1,12,3,24,2,10,1,24,4,10,2,24,1,10,1,24,2,8,1,24,1,12,1,8,1,24,2,8,2,24,3,9,2,24,1,12,2,17,2,12,1,17,1,12,1,17,1,12,2,10,1,17,1,10,1,9,1,10,1,17,1,9,1,12,2,17,1,10,1,9,1,17,1,9,1,24,1,12,1,11,1,10,1,24,1,17,1,12,1,9,1,11,1,10,2,12,1,17,7,11,1,17,35,9,1,13,1,29,1,13,2,6,3,7,1,13,1,7,1,6,1,25,2,6,1,8,1,6,1,25,1,8,1,6,1,7,1,6,2,29,2,27,1,29,1,28,1,27,1,29,2,30,1,27,1,26,1,28,2,29,1,28,2,30,1,28,18,24,1,17,12,12,1,17,9,12,1,17,4,12,1,17,1,12,1,10,1,12,1,11,1,9,1,11,1,17,1,10,1,12,1,10,2,11,1,10,1,11,1,12,1,8,1,9,1,8,1,10,1,9,1,10,1,9,1,24,1,9,1,24,1,11,1,9,2,10,1,8,1,9,1,24,1,8,1,9,4,10,1,13,1,9,2,8,1,9,1,10,1,9,1,10,1,7,1,9,1,13,1,10,1,24,1,13,1,7,1,8,1,10,1,24,1,13,1,9,1,8,1,13,1,9,3,13,1,24,1,8,1,9,1,13,2,9,1,11,1,10,1,9,1,11,1,9,2,13,1,9,1,13,2,8,1,13,1,9,1,8,3,9,1,8,2,9,1,8,2,24,1,9,1,13,2,8,1,13,1,6,1,13,1,6,2,7,1,30,1,28,1,6,2,33,1,5,21,6,1,28,14,13,1,17,2,16,1,13,1,9,1,8,1,13,3,7,1,6,1,30,1,29,1,6,1,7,1,13,1,9,1,24,1,8,1,28,5,13,1,17,2,6,1,28,31,29,1,17,1,24,1,}, {28,1,6,1,28,13,30,1,28,3,30,1,6,1,30,1,6,1,28,1,29,1,30,1,28,1,30,1,28,6,30,1,29,1,28,2,30,1,6,1,9,1,11,1,24,1,9,1,17,1,14,1,17,1,16,1,7,1,13,4,11,1,17,2,9,1,8,1,9,3,8,2,13,1,6,1,8,1,13,1,14,2,13,1,30,1,6,2,13,1,7,2,24,1,9,1,13,2,24,1,13,1,8,2,12,1,17,3,16,1,11,1,9,4,6,1,29,1,28,23,30,1,6,1,7,2,24,1,13,1,12,1,17,1,15,1,29,1,6,1,30,2,28,1,29,1,30,1,9,1,12,1,17,1,24,1,9,2,6,2,13,1,29,2,7,1,30,1,7,2,8,1,13,1,8,1,12,1,10,1,6,1,28,10,30,1,28,3,13,1,9,2,13,2,8,1,9,1,13,3,6,2,13,1,6,2,13,1,6,1,13,1,8,1,13,5,9,1,13,2,6,1,13,2,8,2,13,1,8,1,13,4,6,1,13,2,30,1,13,2,8,1,13,2,8,1,13,1,8,1,13,3,8,1,9,2,13,1,11,1,9,3,13,1,8,1,9,1,13,1,6,1,8,1,13,1,6,1,13,3,9,4,11,1,9,2,13,1,9,3,11,1,9,1,13,1,16,1,9,3,13,1,9,2,8,1,9,2,11,1,9,1,11,1,9,2,16,1,9,1,16,1,9,1,11,1,9,3,13,1,9,1,13,1,8,1,9,1,13,3,8,1,9,1,13,2,9,1,8,1,9,6,8,1,9,1,13,1,16,1,9,5,11,1,9,2,11,1,9,3,11,2,16,2,11,2,9,2,16,1,11,1,9,3,8,1,13,1,8,1,9,5,13,1,9,1,11,1,16,2,9,2,17,1,11,2,29,1,28,9,30,1,28,25,30,1,28,26,29,1,25,2,24,1,12,1,17,2,12,1,17,5,12,1,17,9,10,1,11,1,13,3,9,1,13,1,9,2,13,2,9,1,13,1,9,1,13,4,9,1,13,1,6,2,13,4,5,2,33,2,5,1,33,21,13,4,6,1,7,1,13,1,30,1,29,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,11,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,1,30,1,29,1,30,1,28,3,30,1,28,7,6,1,28,16,6,1,28,1,30,1,29,1,30,1,6,1,30,1,6,2,8,1,13,1,9,1,17,2,10,1,8,1,7,1,28,49,30,1,28,25,30,1,29,1,6,1,28,6,30,1,29,2,28,1,30,1,28,3,30,1,7,1,29,1,7,3,8,1,24,2,8,2,24,1,8,1,12,1,9,2,8,1,7,1,13,1,6,1,8,1,7,1,13,1,8,1,13,1,8,1,13,1,24,1,13,3,7,1,13,1,8,1,7,1,8,1,7,1,6,1,13,1,6,1,30,1,6,2,30,1,29,1,30,1,28,3,29,1,6,1,28,1,30,1,28,46,30,3,6,4,7,1,6,1,13,1,8,1,9,1,8,1,7,1,24,1,9,4,11,1,12,2,11,2,12,2,17,1,12,2,17,1,10,2,12,1,17,2,11,1,17,2,16,1,11,2,5,222,28,1,30,1,28,3,6,1,8,1,24,1,8,2,9,1,11,2,13,1,28,6,13,1,9,3,17,1,33,1,5,3,28,1,30,2,7,1,9,1,10,1,9,3,10,1,12,1,11,1,17,1,28,2,5,128,6,1,28,1,9,1,13,1,6,1,13,1,30,1,7,1,6,1,13,3,8,1,7,1,13,1,30,1,13,2,9,1,13,1,10,1,9,1,10,1,12,1,9,1,6,1,7,1,8,1,7,1,8,1,9,1,8,1,13,1,10,2,9,1,13,1,8,1,9,1,10,1,17,2,11,1,12,1,17,4,12,2,17,4,12,1,17,26,16,1,11,1,17,1,16,2,17,1,11,1,16,1,17,3,11,1,16,4,17,1,11,1,17,1,11,2,17,2,11,1,17,2,16,2,11,1,9,1,10,1,9,1,8,4,13,2,7,1,9,1,12,1,11,2,10,1,11,1,12,1,17,1,10,1,17,2,12,3,9,1,24,1,10,1,24,1,12,1,10,1,24,1,9,1,8,1,24,2,9,2,11,1,12,1,11,1,12,1,9,1,8,1,24,1,8,1,10,2,11,1,12,1,11,1,17,1,9,3,8,3,9,2,24,1,9,2,13,1,24,3,9,1,12,1,9,1,12,1,11,1,9,1,12,1,17,1,12,1,11,2,17,1,16,1,17,9,12,1,17,1,11,1,9,4,17,1,9,1,10,1,24,4,9,1,13,1,8,2,24,1,10,2,24,1,10,1,9,1,12,2,9,1,17,1,9,1,12,1,9,1,10,1,11,1,8,1,9,1,8,1,24,1,10,1,24,1,13,1,24,2,7,1,8,1,24,1,8,1,24,1,8,1,24,1,9,1,8,1,10,1,8,1,24,2,9,1,24,1,9,2,12,2,8,1,9,2,8,1,17,1,9,3,12,1,17,1,12,1,17,1,12,1,9,3,10,1,8,2,24,1,8,3,7,1,6,1,28,1,29,1,6,1,30,1,28,1,30,1,28,1,29,1,28,9,30,1,28,3,30,1,28,6,6,1,28,7,6,1,30,1,6,1,29,1,30,1,29,2,13,2,9,1,13,1,24,1,13,1,24,1,13,1,24,1,8,1,9,1,13,1,24,1,10,2,11,1,10,2,17,1,12,1,9,2,11,1,17,2,13,1,6,1,7,1,13,2,7,1,8,1,13,3,6,1,29,1,30,1,13,1,7,1,13,2,30,2,6,1,30,1,13,1,28,20,30,1,28,6,6,1,28,112,30,1,28,2,30,1,28,1,6,1,13,1,8,1,13,1,9,1,13,1,8,2,13,1,9,1,13,1,8,3,9,1,13,2,9,1,8,3,9,1,8,1,9,1,13,2,8,2,13,1,8,1,13,2,9,1,8,1,13,1,9,1,13,1,8,1,9,1,10,1,11,1,9,1,12,3,11,2,12,1,9,2,13,3,30,2,28,46,30,1,28,4,30,1,28,3,30,1,28,1,30,1,28,1,30,4,28,32,6,1,13,3,6,1,13,1,7,1,6,1,30,1,6,1,28,1,30,1,7,1,28,1,30,1,28,1,29,1,30,2,28,3,29,1,28,4,6,1,28,1,6,1,28,1,30,2,29,1,30,1,29,1,6,1,7,1,28,2,30,2,28,1,6,2,13,1,30,1,6,1,29,1,7,1,6,1,13,1,30,1,13,1,7,1,28,1,29,1,6,2,13,1,9,2,8,1,13,1,12,1,10,1,8,1,13,1,24,1,29,1,7,1,6,1,8,1,29,1,8,1,6,1,8,1,6,1,26,1,27,1,30,1,26,1,30,1,27,1,30,1,27,1,29,2,28,1,27,2,28,1,29,1,28,9,30,1,27,1,29,1,25,1,8,1,25,1,24,1,25,1,8,3,24,1,10,1,24,1,8,1,13,1,12,1,24,1,12,1,24,4,8,1,7,1,10,1,12,1,24,1,17,1,24,3,10,1,24,1,9,1,10,1,8,1,13,1,12,1,8,1,24,1,9,2,8,1,10,1,24,2,17,3,12,2,17,3,10,1,17,1,12,1,17,2,8,1,17,1,24,1,9,2,8,1,9,1,12,1,11,1,12,3,10,1,9,1,12,1,8,1,17,2,12,2,11,1,9,1,11,1,17,36,12,1,17,4,12,1,24,1,9,1,6,6,25,1,6,1,25,1,6,1,27,1,25,1,27,1,25,1,26,1,25,2,6,1,8,1,7,2,30,1,27,1,29,2,27,1,30,1,28,2,29,1,28,5,30,1,28,19,30,1,8,1,13,1,7,1,9,1,17,27,12,1,17,1,12,1,10,1,17,1,12,4,17,2,11,1,17,1,9,1,11,1,12,1,10,1,12,1,10,1,9,3,10,2,9,1,12,1,9,1,12,1,9,2,8,1,13,1,8,1,13,2,8,1,9,1,8,1,11,1,9,1,11,1,8,1,9,1,8,1,11,1,9,2,13,1,10,1,13,1,24,1,13,1,9,1,8,1,24,1,13,2,8,1,24,1,9,1,24,1,9,1,13,1,8,1,9,1,24,1,13,1,8,1,13,1,10,1,9,1,24,1,11,1,10,2,13,1,9,2,8,1,24,1,13,1,7,1,8,1,9,2,8,1,11,1,9,1,10,1,8,1,9,1,10,1,8,2,9,1,13,2,8,1,13,1,8,1,6,2,28,3,30,1,6,1,5,23,13,1,28,14,8,1,16,1,17,1,16,1,9,1,13,1,7,1,13,1,7,1,13,1,6,1,28,2,6,1,7,1,6,1,7,1,8,1,24,1,13,1,28,5,6,1,17,1,12,1,6,1,30,1,28,30,6,1,12,1,11,1,}, {30,2,28,1,30,1,28,3,30,2,28,5,6,1,28,2,6,1,28,1,6,1,29,1,30,1,28,1,29,2,6,1,30,2,28,5,29,1,28,1,30,1,29,1,30,1,7,1,13,2,9,2,7,1,17,3,11,1,13,2,7,1,8,1,7,1,17,3,12,1,11,1,8,1,17,1,10,1,24,1,13,3,6,1,9,1,15,1,14,1,8,1,6,1,13,1,6,1,13,1,6,1,24,1,10,2,8,1,24,2,6,1,8,1,9,1,17,4,11,1,16,1,10,1,9,1,8,1,13,1,7,1,29,1,28,18,30,1,28,2,30,1,28,1,30,1,29,1,6,1,7,1,8,1,13,1,17,2,12,1,6,1,30,1,6,1,29,2,28,2,12,2,17,1,24,1,9,1,7,1,8,1,6,1,13,2,7,1,29,1,6,2,7,1,8,2,15,1,9,1,8,1,6,1,28,7,30,1,28,6,6,1,8,1,9,1,13,1,8,1,13,2,6,2,9,1,6,2,13,1,6,1,13,2,28,1,13,2,8,1,13,2,9,1,6,1,13,1,8,1,13,5,9,1,13,1,9,1,13,5,6,2,13,5,8,1,9,1,13,4,8,1,13,2,9,1,8,1,9,3,13,1,6,1,13,1,6,1,30,1,13,1,6,2,9,2,8,1,9,6,16,1,9,1,13,1,11,1,16,1,9,4,13,1,9,2,11,1,13,1,9,3,16,1,9,2,11,2,9,2,11,1,9,2,11,2,13,1,8,1,9,3,13,1,9,1,13,1,8,1,9,5,11,1,9,1,16,1,11,1,9,1,16,1,11,3,16,2,11,1,9,1,11,1,9,1,16,2,9,1,16,2,9,2,16,2,9,1,11,1,9,3,13,1,9,1,16,1,9,3,13,5,9,2,8,1,13,1,8,1,16,1,11,1,15,1,16,2,10,1,11,1,10,1,9,2,13,1,29,1,28,58,30,1,28,2,29,1,27,1,8,1,25,2,17,1,24,1,17,1,9,1,17,1,10,1,17,1,12,1,17,11,9,1,13,1,9,1,13,2,9,1,13,2,9,1,13,2,9,3,13,3,9,1,13,3,9,2,13,3,9,1,5,1,33,8,5,1,33,12,5,1,33,1,6,1,13,2,29,1,7,1,30,1,28,8,29,1,28,2,30,1,28,14,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,6,30,1,28,1,30,2,28,1,6,1,30,1,6,1,30,1,28,7,30,1,28,9,30,1,28,7,30,3,6,1,30,1,6,1,13,2,7,1,9,2,8,2,7,1,28,79,30,1,24,1,28,4,30,1,28,2,30,1,28,2,29,1,30,1,29,1,28,1,30,1,6,1,7,1,13,2,24,2,8,1,13,1,8,1,13,2,8,1,12,1,8,1,11,1,8,2,13,1,24,1,8,1,13,2,8,1,24,1,10,1,8,1,13,3,24,2,13,2,7,3,24,1,7,1,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,5,29,1,28,32,30,1,28,13,30,1,29,1,6,4,8,2,6,1,24,1,8,1,24,2,9,2,8,1,11,1,9,1,10,1,17,2,11,2,17,1,11,1,12,4,16,1,12,1,17,1,11,1,12,1,16,4,9,1,5,224,28,5,6,2,8,1,9,3,8,1,12,1,6,1,28,4,30,2,9,3,16,1,5,5,28,1,6,2,8,1,13,1,24,1,10,1,9,2,11,1,9,1,16,1,17,1,28,1,30,1,5,128,13,1,28,1,10,1,6,2,7,1,6,1,7,1,6,1,13,1,7,1,13,1,7,1,13,1,29,1,30,1,6,1,8,2,9,2,24,1,8,1,11,1,9,1,13,6,8,1,10,1,9,1,13,1,12,1,13,1,8,1,9,1,11,1,12,3,17,1,12,1,17,1,12,1,17,35,10,1,17,1,16,2,11,1,16,2,17,1,16,1,17,2,11,2,17,1,11,1,16,1,11,1,9,1,16,1,11,1,16,1,17,1,16,1,11,1,16,3,17,2,11,1,13,1,8,1,13,1,8,3,13,1,8,5,9,2,12,1,9,1,10,1,17,2,11,1,12,2,9,1,12,1,10,1,24,2,12,1,8,1,24,2,12,1,24,1,12,1,24,1,12,1,11,1,10,1,12,1,10,1,24,1,13,2,10,1,24,1,10,1,17,1,10,1,11,1,9,1,12,1,24,1,13,3,17,1,24,3,8,1,9,1,8,3,24,1,9,2,8,1,12,1,9,2,17,2,11,1,16,3,17,12,9,1,11,1,9,1,10,1,12,1,9,1,12,1,9,2,8,1,24,1,9,1,24,1,17,1,10,1,9,1,10,1,8,1,24,1,13,1,24,1,12,1,17,1,9,1,17,1,12,2,9,1,8,1,12,1,9,1,8,1,9,2,24,1,9,1,24,1,12,1,13,1,24,1,9,1,8,1,24,1,9,4,12,1,9,1,8,1,12,1,9,1,12,1,8,1,17,1,10,1,8,1,12,1,24,1,10,1,8,2,17,1,9,1,8,1,9,1,24,1,17,1,9,1,17,1,12,1,10,1,9,1,13,1,8,1,9,1,8,2,13,1,8,1,13,2,24,1,6,1,30,2,28,1,29,1,28,1,30,3,29,1,28,10,30,1,28,2,30,1,28,1,6,1,28,2,30,3,28,5,30,1,29,2,30,1,6,2,29,1,7,1,6,1,7,1,8,1,13,2,8,1,7,1,8,2,24,2,9,2,24,2,12,1,10,1,9,1,13,1,10,1,12,1,9,1,11,1,17,1,12,1,9,1,7,1,29,1,13,1,7,1,9,1,13,4,6,4,7,1,6,1,13,1,30,2,6,2,13,1,28,27,30,1,28,4,30,1,28,103,30,1,28,1,30,1,13,1,7,1,9,3,8,2,13,1,9,1,13,1,9,1,13,1,8,2,13,4,8,2,7,1,8,1,13,2,8,1,13,2,6,2,13,1,30,1,13,1,28,1,13,4,6,1,13,1,7,3,13,4,8,2,9,3,10,1,9,1,11,1,9,3,8,1,13,2,7,1,6,1,28,3,30,1,28,50,29,1,28,4,30,1,28,2,30,1,28,32,30,2,13,2,6,1,30,1,7,1,30,2,28,1,30,1,6,1,28,2,30,1,28,6,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,29,2,6,1,29,1,7,1,28,2,6,1,30,1,6,1,30,1,6,1,30,1,13,4,29,1,30,1,6,1,29,1,13,1,30,1,6,3,8,1,13,1,8,2,24,1,9,2,24,1,13,2,8,1,6,1,13,2,25,1,24,1,25,1,27,1,25,1,6,1,27,1,26,1,25,1,27,2,25,1,28,1,27,1,25,1,29,1,25,1,27,1,30,1,28,2,6,1,28,4,6,3,8,1,26,1,25,1,8,2,24,1,8,1,6,2,10,2,12,1,24,1,10,1,12,1,10,1,12,1,17,1,24,2,12,4,13,1,24,3,8,1,24,1,10,1,24,1,12,1,24,1,10,1,12,1,24,1,12,1,24,2,12,1,10,1,24,1,17,2,12,1,10,1,17,1,12,1,17,2,12,1,24,1,12,1,24,1,12,1,24,1,17,1,24,1,10,1,12,2,9,2,12,1,24,2,8,1,17,1,10,1,12,1,9,2,12,2,10,2,11,2,12,1,17,1,10,1,11,1,17,30,16,1,17,8,9,1,13,2,29,1,8,1,6,1,13,1,7,1,25,1,6,1,25,1,6,1,7,1,26,1,6,1,27,1,25,1,29,1,27,1,29,1,26,1,29,1,6,2,29,1,30,1,27,1,29,1,28,1,30,2,28,1,30,2,29,1,28,4,30,1,28,20,13,1,6,1,8,2,10,1,17,30,12,1,17,1,12,1,17,2,9,2,17,1,11,1,17,2,12,2,10,1,24,1,9,1,11,1,10,2,9,1,17,1,11,1,12,1,11,1,8,1,12,1,8,1,11,1,12,1,10,1,11,1,12,2,9,1,12,1,17,1,9,1,12,1,13,1,12,1,10,1,9,1,17,1,9,1,13,1,8,2,9,1,11,1,8,2,24,1,13,3,9,1,7,2,13,1,9,1,24,1,13,1,24,2,9,2,10,1,12,2,9,1,10,1,9,1,24,2,8,1,9,1,24,1,13,1,8,2,9,2,24,1,9,2,11,1,13,1,9,1,8,1,11,1,13,4,6,3,28,1,30,2,5,26,13,1,28,14,8,1,17,1,16,1,11,1,9,1,24,1,8,1,7,1,13,2,29,1,28,1,29,3,13,1,8,2,9,1,30,1,28,5,7,1,17,2,6,1,30,1,28,30,13,1,16,1,11,1,}, {28,1,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,5,29,1,6,1,30,1,28,1,30,1,28,3,6,1,30,1,28,5,30,1,28,2,29,1,7,1,9,1,8,2,9,2,17,3,11,1,10,1,8,2,9,1,7,1,16,1,17,2,9,1,16,1,11,1,9,1,16,1,8,2,24,1,6,1,13,2,14,2,8,1,29,1,7,1,29,1,7,1,6,1,7,1,24,1,10,1,15,1,8,1,7,1,8,1,13,1,9,1,17,4,12,1,11,1,9,1,10,1,9,1,11,1,13,1,29,1,30,1,28,11,30,1,28,11,6,1,7,1,13,1,24,1,13,1,9,1,17,1,10,1,7,1,28,1,7,1,28,1,30,3,24,1,11,1,9,1,10,2,8,3,13,1,8,2,6,1,7,1,30,1,8,2,9,1,10,2,9,1,29,1,28,14,6,2,9,1,13,4,9,1,8,1,13,5,6,2,13,2,6,1,13,2,6,1,8,1,13,1,9,1,13,10,6,1,13,3,8,1,13,1,30,2,9,1,13,7,30,1,9,1,13,3,9,1,13,2,9,1,6,1,13,2,9,1,8,1,9,1,8,1,9,2,13,1,9,1,11,1,8,1,9,1,8,1,9,3,11,1,9,4,13,1,9,2,11,1,9,3,16,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,4,13,1,9,2,11,1,8,1,11,1,9,1,11,1,8,1,9,1,11,1,9,2,13,1,9,1,16,1,11,1,16,1,9,2,11,3,9,1,11,1,9,2,8,1,9,1,11,1,16,1,9,3,16,1,9,2,11,1,9,4,8,1,9,1,11,1,9,5,8,2,13,1,8,1,9,1,13,2,6,1,9,1,16,1,17,1,8,1,9,1,15,1,9,2,24,1,9,1,8,1,13,1,9,1,12,1,28,37,6,1,28,23,30,2,29,1,8,2,24,1,17,1,12,3,17,14,16,1,9,1,8,1,13,1,9,1,6,1,13,4,9,1,13,1,6,2,13,1,9,1,13,3,9,1,13,4,9,1,13,1,9,2,13,1,9,1,13,3,33,1,13,1,33,4,5,1,33,1,5,1,33,8,13,1,6,1,9,1,6,3,30,1,28,1,29,1,28,1,30,1,29,1,30,1,28,1,29,1,30,2,28,5,30,1,28,12,30,1,28,1,30,1,28,15,6,1,28,3,30,1,28,1,30,1,28,3,30,1,29,1,28,5,29,1,28,18,29,1,6,1,28,1,6,2,28,1,7,1,8,1,6,2,30,1,28,35,30,1,28,16,30,1,28,29,8,1,28,8,29,1,28,1,30,2,6,3,29,1,13,1,29,1,6,1,13,1,7,1,24,1,7,1,6,1,8,1,13,1,8,3,13,1,17,1,12,1,9,1,8,1,7,1,8,3,13,2,9,1,6,1,8,2,24,1,8,1,24,1,8,2,6,1,13,1,30,2,28,1,30,1,28,1,6,1,30,1,28,49,30,1,28,5,29,1,6,3,13,2,7,1,13,1,8,2,24,3,9,2,8,1,10,2,12,1,10,1,12,1,17,1,11,1,12,1,17,2,12,1,16,2,12,1,11,1,16,1,12,1,9,1,17,1,16,2,30,1,5,225,28,4,6,1,8,2,24,1,10,1,9,2,12,2,30,1,28,3,30,1,28,1,6,1,9,3,17,1,5,5,28,2,30,1,7,1,24,1,9,1,12,1,9,1,11,2,9,1,11,1,17,1,28,1,5,129,13,1,30,1,13,1,29,1,6,1,29,1,6,1,30,1,7,1,30,1,13,1,8,1,29,1,7,1,29,1,30,1,6,2,13,1,11,1,9,1,10,1,24,1,10,1,8,2,13,1,24,1,13,1,7,1,8,1,24,2,8,1,24,1,11,1,8,1,10,1,9,2,12,1,11,1,12,1,17,6,11,1,17,18,12,1,17,10,16,2,17,1,11,1,16,2,10,1,16,2,17,3,10,1,17,1,16,2,17,1,9,1,16,1,8,1,17,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,17,1,11,1,17,1,11,1,12,1,8,7,24,1,7,1,13,1,8,1,9,1,8,1,24,3,11,1,24,1,9,1,24,1,8,1,9,1,8,1,24,1,13,2,8,1,24,1,9,1,24,2,12,1,24,1,9,1,13,1,10,1,12,2,10,1,11,1,8,2,13,1,8,1,9,2,11,1,10,2,11,1,17,1,10,1,24,1,8,3,9,3,10,1,24,3,9,2,8,1,10,1,12,2,11,1,17,1,10,1,11,2,17,2,16,1,17,2,16,2,17,1,16,1,17,9,11,1,12,1,9,1,11,1,9,1,10,1,8,1,9,1,11,1,8,1,9,1,24,1,8,2,9,2,12,1,9,1,8,2,17,5,9,2,17,1,9,1,7,1,8,2,12,1,8,2,9,1,24,1,8,2,10,1,11,1,13,1,9,2,24,1,10,1,9,1,24,1,10,1,12,1,9,1,10,1,12,2,24,1,10,1,8,1,7,1,11,2,9,2,12,1,8,1,12,1,9,1,16,1,17,1,11,1,17,1,12,1,8,1,13,1,8,1,9,1,6,1,8,3,13,1,6,1,7,1,30,2,29,3,28,1,30,1,29,2,28,2,6,1,28,4,30,2,28,5,6,1,28,13,30,1,28,1,6,1,29,3,28,1,7,1,6,1,7,1,13,1,8,1,13,1,8,2,13,1,24,1,9,1,8,2,24,1,9,1,12,1,17,2,24,1,10,1,17,1,10,1,17,2,13,1,6,1,9,1,13,1,6,1,13,2,6,4,29,1,7,1,30,1,6,3,13,1,7,1,30,1,28,1,30,2,28,27,30,1,28,4,30,1,28,95,30,1,28,1,29,2,30,1,13,2,8,1,9,2,13,2,8,1,9,1,13,1,8,1,13,1,24,1,13,1,9,1,13,1,8,2,13,1,8,1,13,5,6,3,30,1,6,1,28,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,7,1,28,1,30,1,6,3,7,1,6,1,13,1,7,2,8,2,10,1,8,2,9,2,13,1,9,3,13,1,8,1,13,1,6,1,13,1,6,1,29,1,30,2,28,48,30,1,28,3,30,3,28,2,30,2,28,32,29,1,13,1,6,1,30,1,7,1,13,1,28,1,6,1,28,5,29,1,28,1,30,1,28,4,6,1,28,6,29,1,30,2,29,1,30,1,13,1,7,1,6,1,30,1,28,2,29,2,30,1,6,1,29,1,6,1,30,1,6,2,28,1,13,2,6,1,7,1,29,1,13,1,30,2,13,2,8,1,13,1,11,1,10,1,24,1,9,1,10,1,13,1,8,3,24,1,7,1,8,2,24,1,25,1,26,1,25,1,26,1,25,2,30,1,24,1,25,1,29,1,25,1,26,1,8,1,27,2,29,1,25,1,28,1,29,1,30,1,6,1,29,2,7,1,8,1,25,1,24,2,8,1,24,3,10,1,8,1,24,1,12,2,17,1,24,1,10,1,12,1,8,1,10,1,17,1,8,1,12,1,24,1,29,1,24,1,8,1,24,3,12,3,8,1,12,1,24,1,17,1,10,1,12,1,9,1,10,2,12,3,17,1,24,1,10,1,17,1,24,1,12,1,8,2,17,1,24,1,10,1,12,1,24,1,10,1,24,1,10,1,24,1,12,1,9,1,10,1,24,1,9,1,12,1,10,1,12,1,17,1,9,1,8,1,12,1,10,1,12,2,17,1,10,1,17,5,12,1,17,36,11,1,12,1,10,1,13,3,6,1,13,1,7,1,30,1,7,2,25,2,29,1,6,1,27,1,29,1,30,1,29,1,27,1,29,1,27,1,6,1,30,3,29,2,28,1,30,1,29,1,30,1,28,1,30,1,27,1,28,1,29,1,30,1,28,20,30,1,28,1,30,1,28,1,8,1,13,1,24,1,9,3,17,28,12,1,17,4,12,2,17,3,9,1,12,1,17,2,9,1,17,1,12,1,8,1,17,3,12,1,11,1,17,1,12,1,24,1,10,1,17,3,11,1,12,1,10,1,12,1,10,1,12,1,10,1,11,1,17,1,12,1,11,1,10,1,9,1,12,1,10,2,9,1,11,1,24,2,9,3,8,2,9,2,13,1,24,1,9,2,13,1,8,1,9,1,8,1,9,1,24,1,10,1,12,1,9,1,12,1,10,1,24,2,9,3,8,2,13,1,9,7,13,1,12,1,7,1,8,1,13,2,28,1,6,1,28,1,6,1,30,1,6,1,5,28,13,1,28,14,13,1,17,2,16,1,11,1,13,1,24,1,6,1,13,1,6,1,30,1,28,1,29,2,6,1,13,1,24,1,9,1,8,1,30,1,28,5,24,1,17,2,28,1,30,1,28,30,13,1,14,1,10,1,}, {28,1,30,1,29,1,28,2,30,1,28,8,30,1,28,2,30,2,13,1,28,3,6,1,28,3,30,1,28,6,30,1,6,1,28,2,6,1,13,1,9,4,17,3,11,1,9,1,8,1,6,1,8,1,13,1,9,1,17,2,16,1,11,1,9,1,12,1,9,1,13,1,9,2,13,1,30,1,8,1,14,2,13,1,6,1,13,1,28,1,7,1,13,2,24,1,12,1,9,1,8,1,13,1,24,1,8,2,11,1,17,4,9,2,8,1,10,1,13,1,6,1,28,1,30,2,28,18,30,1,28,2,6,3,8,1,7,1,24,1,9,1,17,1,10,1,8,1,13,1,28,1,30,1,28,3,6,1,24,1,12,1,9,2,8,1,13,1,8,1,13,1,6,5,13,2,12,1,9,3,29,1,28,7,29,1,28,6,7,1,13,2,9,1,8,1,13,5,9,2,13,3,9,1,13,1,8,1,13,1,9,1,13,5,8,1,9,2,6,2,13,7,6,3,13,1,8,1,13,1,6,1,30,1,13,3,9,1,6,1,13,1,6,1,8,1,6,1,13,3,8,3,9,1,13,1,9,1,13,1,9,3,8,1,9,1,13,1,8,2,9,3,13,1,16,1,9,3,11,1,13,1,11,1,13,1,9,1,8,1,14,1,11,2,9,5,11,1,9,1,13,1,9,1,11,1,9,3,8,1,9,1,11,1,9,4,11,1,16,3,9,2,11,1,9,4,11,1,9,2,11,1,16,1,9,1,11,1,9,2,16,1,9,1,11,1,9,1,11,2,8,1,11,1,8,2,9,3,10,1,9,3,16,1,9,1,11,1,16,2,10,1,13,1,11,2,8,1,9,1,8,1,13,2,9,1,10,1,17,2,11,1,9,3,8,1,24,1,9,1,8,2,13,2,10,1,28,39,30,1,28,19,29,1,28,1,30,1,29,1,25,1,8,2,24,3,17,1,12,1,17,15,9,3,13,2,11,1,9,2,13,1,6,1,13,3,8,1,13,2,9,1,13,6,9,2,6,2,13,3,9,2,13,1,6,1,13,4,6,1,33,3,5,2,33,1,5,1,33,1,6,2,9,1,13,2,6,1,28,8,30,1,28,20,30,1,28,4,30,1,28,15,29,1,28,1,29,1,28,1,30,2,29,1,28,9,30,1,28,17,30,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,29,1,28,82,29,3,28,4,30,1,28,7,29,1,28,1,30,1,29,1,6,1,7,2,13,3,24,2,13,2,8,1,10,1,9,1,8,1,9,1,24,2,9,1,8,1,6,1,24,2,13,2,8,1,13,2,8,1,24,1,13,1,30,1,6,1,29,1,30,1,29,1,28,24,30,1,28,25,30,1,28,7,29,1,30,1,28,1,29,1,30,1,29,1,6,1,7,1,6,1,13,1,29,1,8,4,9,1,8,1,10,1,9,2,11,1,10,1,11,2,12,1,11,4,12,1,11,1,16,2,12,1,16,1,11,2,16,1,17,1,11,1,33,1,5,226,28,3,30,1,10,2,9,1,11,2,10,1,8,1,10,1,12,1,28,5,29,1,8,1,24,1,9,1,16,1,17,1,5,5,28,2,6,1,7,1,8,2,10,2,11,1,9,2,10,1,17,1,13,1,5,129,13,1,28,1,29,1,7,1,6,1,13,1,7,1,6,2,7,1,13,2,6,1,7,1,13,1,30,1,6,1,7,1,24,1,11,1,9,2,10,2,17,1,11,1,29,1,9,1,13,4,24,2,11,1,12,1,10,1,8,1,11,2,17,1,11,2,17,6,12,1,17,6,12,1,17,21,11,1,17,1,16,1,11,1,16,1,17,1,16,3,11,1,17,1,16,3,17,1,11,1,16,2,17,1,16,1,11,2,16,1,11,1,16,5,17,1,16,1,11,1,16,1,9,1,24,2,7,1,8,2,13,4,8,1,13,2,8,2,10,1,8,1,9,2,7,1,8,1,24,1,8,2,10,1,8,1,24,1,8,1,24,2,8,2,13,1,8,1,13,1,8,2,9,2,12,1,11,1,9,1,8,1,13,1,10,1,9,1,10,1,12,1,11,1,17,1,10,1,12,1,11,1,24,1,8,3,9,1,11,1,8,1,12,1,9,1,8,1,24,3,9,3,11,1,10,1,17,1,12,1,17,1,9,1,16,2,17,2,16,1,17,1,16,2,17,3,16,1,17,12,9,1,13,1,8,1,9,1,13,1,8,1,9,1,8,2,6,1,13,1,8,2,16,1,11,1,16,1,17,4,12,1,11,1,17,1,8,1,9,3,13,1,9,1,10,1,11,1,8,2,9,1,10,1,9,2,10,1,17,1,24,1,17,1,11,1,10,2,9,2,8,1,9,2,12,1,24,1,8,2,13,1,12,1,11,1,9,1,11,3,16,1,17,5,11,1,13,1,9,1,13,4,11,1,17,1,11,1,8,1,6,1,29,2,6,1,30,1,6,1,30,1,28,2,6,1,28,2,29,1,28,1,30,3,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,9,30,2,28,1,30,1,6,1,30,1,29,1,13,1,6,1,13,1,24,1,13,2,8,1,7,1,13,1,24,2,9,1,24,1,8,1,24,1,17,1,24,1,10,1,12,1,24,1,12,1,17,1,8,1,7,1,6,1,13,1,8,1,13,3,7,1,6,1,7,1,6,1,30,1,28,1,30,1,7,1,30,3,6,3,30,2,28,23,30,2,28,1,30,1,28,94,6,1,28,1,30,1,28,1,30,1,6,1,28,1,7,2,6,1,8,1,13,1,9,1,8,1,13,2,8,2,13,2,9,1,8,1,13,2,24,1,13,1,7,1,30,1,13,1,30,1,13,1,6,1,28,1,29,1,28,1,30,1,6,1,29,1,6,1,30,1,28,1,30,2,28,2,30,1,29,1,28,1,30,1,6,1,29,1,30,1,6,1,13,1,30,1,13,2,29,1,7,1,29,1,13,1,29,1,7,1,6,2,13,1,8,1,13,3,9,1,13,1,9,1,10,1,9,1,10,1,9,2,13,3,8,1,6,1,30,1,6,1,30,1,28,44,30,2,28,2,30,1,28,1,30,2,28,1,6,1,28,3,30,1,28,31,30,1,6,1,13,1,30,1,13,1,28,1,13,1,7,2,30,1,7,1,28,1,29,1,28,4,30,4,28,8,30,1,28,1,8,1,30,1,28,1,30,4,28,2,6,1,30,1,28,1,13,1,6,1,7,1,29,2,8,1,7,1,30,1,6,1,7,1,6,2,29,1,13,2,7,1,9,1,7,1,8,2,10,1,8,1,9,1,8,1,24,2,13,1,24,1,8,1,25,1,24,1,8,1,25,2,8,2,24,1,8,1,27,1,25,3,29,2,25,1,8,1,26,1,6,2,29,1,6,1,13,2,8,2,24,2,8,1,10,2,8,1,10,1,24,1,12,1,24,1,17,1,12,3,24,1,12,2,9,1,12,2,24,1,10,1,12,1,24,1,8,1,24,1,8,1,9,1,12,2,17,1,24,1,12,1,17,1,12,1,10,1,12,2,8,1,17,1,12,1,9,2,8,1,24,1,9,1,8,1,13,1,10,1,8,1,17,1,12,1,13,1,10,2,8,1,12,1,13,1,12,1,24,1,12,1,10,2,17,1,12,1,9,1,10,1,17,1,12,1,9,2,10,2,12,1,17,1,12,1,17,3,12,2,17,1,24,1,10,1,11,1,17,34,8,1,7,3,8,1,13,1,7,1,6,2,7,1,6,1,25,2,6,3,26,1,28,1,30,4,27,1,29,2,27,1,29,1,30,2,29,1,28,1,30,1,27,1,28,2,30,1,28,1,29,1,28,20,30,2,28,1,6,1,29,1,8,1,13,1,8,1,24,1,9,1,8,1,12,2,17,23,12,1,17,7,12,1,17,2,12,1,17,1,12,4,17,1,12,2,24,1,10,1,9,1,11,2,12,1,10,1,11,1,17,3,10,1,17,2,12,1,11,1,17,1,12,1,11,1,12,1,9,1,12,1,17,1,9,1,12,1,17,1,9,1,17,2,12,2,10,1,9,3,10,2,8,3,24,1,8,1,13,1,8,3,9,1,8,2,13,1,9,1,11,1,10,2,9,3,8,1,13,3,8,1,13,1,24,1,9,1,13,2,7,1,13,2,7,1,6,1,7,1,6,1,28,1,30,2,9,1,5,32,6,1,28,14,13,1,17,2,9,3,8,1,13,1,6,1,28,3,30,1,28,1,29,1,7,1,8,1,12,1,8,1,28,6,13,1,14,1,10,1,28,32,13,1,14,1,10,1,}, {29,1,28,1,6,1,28,13,30,3,28,1,30,1,29,2,30,1,28,2,30,1,28,7,30,1,6,1,30,1,29,1,6,1,13,1,8,2,9,2,17,4,13,2,8,2,7,1,9,1,16,1,17,1,16,1,11,2,16,1,9,2,8,1,13,1,8,1,13,1,8,1,10,1,14,1,13,2,6,1,29,1,13,1,29,1,8,1,9,1,12,1,17,1,8,3,24,1,13,1,12,1,17,4,9,2,13,1,8,1,13,2,28,24,30,1,7,2,8,1,6,1,24,1,12,2,17,1,6,1,30,2,28,1,30,1,28,1,29,1,7,1,11,1,12,1,10,1,24,2,13,1,6,1,24,1,13,1,29,1,7,1,6,1,29,1,7,1,6,1,8,1,9,2,12,1,6,1,28,14,13,4,8,1,13,3,8,1,13,1,9,1,13,2,9,1,6,1,8,1,13,7,8,1,13,2,28,1,13,3,6,5,13,1,6,1,13,1,6,1,8,1,13,4,8,1,6,1,13,1,8,1,13,2,6,1,13,2,9,1,8,1,9,1,13,1,9,1,8,1,9,2,13,1,9,2,8,2,13,1,8,1,13,3,9,1,8,1,11,1,8,1,11,1,13,2,9,1,8,1,9,1,13,1,9,1,11,1,16,1,11,1,8,1,9,1,11,1,9,2,11,1,9,4,16,1,9,1,16,1,8,1,16,1,13,1,9,1,16,1,11,2,16,1,9,1,11,1,9,1,16,2,11,2,9,2,16,1,9,2,16,1,11,2,16,1,9,1,11,1,9,2,8,1,13,1,16,1,8,1,9,5,8,2,13,1,8,2,9,2,8,1,9,2,12,1,9,1,13,5,8,1,13,1,9,1,8,2,9,1,8,1,17,1,9,1,10,1,13,2,9,1,8,1,13,1,8,1,9,1,24,2,9,1,24,1,13,2,28,43,30,1,28,16,29,1,27,1,25,1,8,2,24,1,12,1,10,1,12,1,17,6,12,1,17,10,13,1,9,2,13,1,9,2,13,1,9,1,13,3,6,1,9,1,13,4,8,1,13,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,4,9,2,13,5,30,1,33,2,13,1,5,1,13,1,9,1,13,2,6,2,7,1,29,1,28,26,30,1,28,3,30,1,28,9,30,1,28,9,30,1,28,1,30,1,28,1,30,1,28,5,29,1,28,15,30,1,28,7,30,2,29,2,7,1,6,1,28,1,30,1,28,84,30,1,29,1,30,1,28,8,29,1,28,3,6,3,30,1,13,2,7,1,8,2,13,1,8,1,24,1,13,1,24,1,13,1,9,2,10,1,7,1,9,1,8,1,9,1,10,1,8,1,9,1,13,1,8,1,24,1,8,1,24,1,13,1,6,1,8,1,6,1,30,3,28,51,30,1,28,6,30,1,28,3,30,1,7,1,30,1,29,1,6,1,7,1,6,1,8,1,7,1,8,6,9,2,10,1,9,2,10,1,11,2,17,1,12,1,17,2,11,1,17,1,12,1,16,1,11,2,16,1,17,1,16,1,5,229,28,3,6,1,9,2,12,1,9,2,11,1,8,1,17,1,13,1,28,3,29,1,6,1,13,1,8,2,9,1,16,1,5,6,28,1,30,1,6,1,7,1,9,1,11,1,9,2,10,1,12,1,16,2,17,1,13,1,5,129,13,1,28,2,13,1,6,1,13,1,6,1,13,1,29,1,13,4,7,1,30,3,13,1,7,1,9,1,8,1,9,1,17,1,9,1,12,1,9,1,7,1,8,2,13,3,9,1,8,1,10,1,9,2,8,2,11,2,17,1,11,1,17,30,12,1,17,4,11,1,17,4,11,2,16,2,10,1,16,2,17,1,16,1,9,1,16,1,17,3,16,3,11,1,16,1,10,1,16,2,17,2,16,1,11,1,16,1,17,1,9,2,24,1,8,1,24,2,8,3,13,1,8,5,10,1,13,1,8,1,9,1,8,2,13,1,9,1,8,1,24,1,7,1,8,3,7,1,8,1,24,1,8,1,13,2,24,4,10,1,11,1,8,4,9,1,10,2,12,1,17,1,12,1,17,1,12,2,9,1,13,1,9,1,8,1,9,3,24,1,9,1,10,1,8,1,9,1,24,1,11,1,10,2,12,2,17,3,11,1,17,2,11,1,16,2,17,1,16,1,17,16,11,2,16,1,11,1,9,1,11,1,9,1,10,1,9,2,11,1,16,1,11,1,17,1,16,1,17,2,16,1,17,6,16,1,9,1,13,1,9,2,8,1,9,2,10,1,13,1,9,3,17,1,10,1,9,1,12,1,17,1,9,1,10,2,9,1,16,1,17,1,11,1,9,1,11,2,9,1,8,1,9,1,11,1,9,1,16,1,9,1,11,2,17,16,13,1,7,1,30,1,6,2,29,2,6,1,30,1,6,1,28,1,29,1,28,3,30,1,28,1,30,1,29,1,28,2,29,1,27,1,28,2,30,1,28,9,30,1,28,2,30,1,29,1,28,1,6,1,30,1,29,1,30,1,7,6,6,1,7,1,13,2,8,1,24,4,8,2,9,4,17,2,9,1,28,1,6,1,9,1,7,1,13,1,30,1,13,1,30,1,6,4,13,1,28,1,29,1,30,1,29,1,6,1,30,2,6,1,30,2,28,26,30,1,28,89,30,1,28,1,6,1,30,1,6,3,7,1,6,1,13,2,9,1,8,1,9,2,13,2,9,1,8,2,13,1,9,1,13,1,8,2,7,1,8,1,13,1,30,2,28,1,30,2,28,7,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,6,1,28,1,13,2,29,1,7,1,6,7,13,1,7,1,6,2,13,4,8,1,13,1,8,1,10,1,9,1,12,1,8,1,9,3,8,1,13,1,9,1,13,2,7,1,6,3,28,45,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,33,30,1,7,1,13,1,7,1,30,1,6,1,13,1,30,1,28,1,6,1,30,1,29,1,6,1,30,1,28,1,6,1,30,1,28,2,29,1,28,2,30,1,6,1,28,1,29,1,6,1,29,1,30,1,28,2,30,1,28,3,30,1,28,1,30,3,29,1,8,1,6,1,7,1,29,1,13,2,7,1,6,1,7,2,28,1,13,4,8,2,13,1,10,1,11,1,8,1,12,1,8,1,24,1,10,2,24,2,8,1,24,1,8,2,24,1,10,1,24,1,25,2,24,1,8,1,25,1,26,1,24,1,25,1,7,1,25,2,8,1,30,1,13,1,8,1,7,1,6,1,24,1,8,1,24,2,12,1,8,1,24,1,12,1,9,1,12,1,10,2,17,2,12,1,17,1,12,2,10,1,9,1,24,1,10,3,24,1,10,1,12,1,17,1,12,1,17,1,12,1,24,1,10,2,12,1,24,2,12,1,24,1,9,2,10,1,8,1,10,1,8,1,12,1,10,1,13,1,24,3,12,1,24,1,10,1,24,3,8,1,17,1,24,1,10,1,12,1,24,1,9,1,12,1,9,3,12,1,10,1,12,1,17,2,12,1,17,3,9,1,17,1,12,1,11,1,9,1,12,2,8,4,17,1,9,1,17,29,24,1,9,1,13,1,8,1,13,1,8,1,25,1,7,1,25,1,26,1,25,1,8,1,29,1,6,1,8,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,28,1,29,3,28,1,29,1,28,1,30,1,28,1,30,2,28,26,30,1,28,1,29,1,28,1,7,1,6,1,7,1,24,1,8,4,9,1,12,1,17,27,12,1,11,1,17,2,12,1,17,3,12,1,17,3,9,1,17,3,12,1,17,2,12,1,17,1,12,1,17,1,12,2,17,1,12,1,17,1,11,1,10,1,17,1,12,5,11,1,17,1,12,2,11,1,10,1,9,1,12,1,10,1,11,1,10,4,7,1,11,1,9,1,12,1,8,3,10,1,9,2,8,3,9,1,8,1,9,2,11,1,10,1,11,1,10,1,9,1,8,4,13,1,8,1,13,1,8,2,13,1,7,1,13,1,7,1,13,1,6,1,28,1,6,1,13,2,33,1,5,34,13,1,28,14,8,1,17,2,11,1,8,1,9,1,8,1,6,1,28,1,30,1,28,3,30,2,29,1,11,1,16,1,9,1,30,1,28,5,8,1,17,1,10,1,29,1,28,31,8,1,11,1,8,1,}, {28,1,29,1,30,1,6,1,28,10,6,1,28,2,29,1,6,1,30,2,28,6,30,1,28,5,30,3,28,3,30,1,9,1,8,1,9,1,12,1,17,3,12,1,13,1,8,1,7,2,24,1,9,1,17,2,16,1,11,1,16,1,11,1,17,1,24,2,8,1,6,1,13,1,8,1,15,1,14,1,8,1,30,1,29,1,7,1,6,1,13,2,12,1,9,2,13,1,8,1,7,1,8,1,9,1,17,5,9,3,8,2,13,1,30,1,28,9,30,1,28,14,6,2,24,1,29,1,13,2,17,2,6,1,28,1,6,1,28,2,29,1,6,1,29,1,12,1,9,1,15,1,9,1,13,1,24,2,13,4,6,1,7,1,29,1,8,2,9,1,24,1,12,1,13,1,30,1,28,2,30,1,28,6,30,1,28,3,6,1,8,1,13,1,9,2,13,1,8,3,13,1,9,4,13,2,9,1,13,2,9,3,13,1,8,1,30,1,9,1,13,2,6,1,13,7,6,1,13,2,8,2,13,5,9,1,11,1,13,2,9,1,8,1,9,2,11,1,9,3,11,1,13,4,9,5,8,1,9,4,16,1,13,1,16,1,8,1,9,3,11,1,9,3,13,1,9,9,11,2,16,1,9,1,16,4,11,1,16,3,11,1,9,1,16,2,9,1,11,1,9,1,16,1,9,1,8,1,9,1,11,1,9,3,11,1,9,1,13,1,9,1,11,1,16,1,17,3,16,1,9,1,24,1,8,1,7,1,6,2,13,1,29,1,28,2,6,2,13,1,7,1,6,1,13,1,8,1,13,2,8,2,7,1,13,4,8,1,24,1,9,1,10,1,24,1,8,5,9,1,8,1,13,1,8,1,24,1,9,1,12,1,8,1,28,9,30,1,28,27,30,2,28,19,29,4,27,1,26,1,24,2,8,1,10,1,17,1,10,1,24,1,12,1,17,2,12,1,17,12,9,2,8,1,9,2,11,1,9,3,13,4,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,7,9,1,13,2,6,1,13,2,6,1,13,1,9,1,13,3,9,4,13,1,29,1,30,2,28,29,30,2,28,14,30,1,28,4,30,1,28,4,29,1,28,11,30,1,28,11,30,1,28,4,30,1,28,1,29,1,30,1,28,4,30,1,28,86,29,1,28,11,30,2,29,1,6,1,28,2,6,2,8,1,13,2,9,1,13,1,6,1,13,2,9,1,7,1,8,1,24,1,13,1,8,2,24,1,8,1,10,2,24,1,8,1,7,1,13,1,6,1,29,2,30,1,28,57,29,1,28,2,30,1,28,2,30,1,28,1,7,1,30,3,13,1,6,1,13,1,6,1,13,1,8,1,13,1,24,3,10,1,24,1,9,1,8,1,24,1,8,1,10,1,12,1,17,1,12,1,17,1,12,1,17,1,12,2,10,1,17,1,16,1,11,1,16,1,17,1,5,231,28,4,29,1,13,1,11,2,8,1,10,3,28,4,6,1,8,1,9,1,10,1,9,1,8,1,16,1,5,6,28,2,13,1,8,1,24,1,7,1,6,2,13,1,11,1,9,1,17,1,13,2,5,129,13,1,28,2,13,1,6,1,7,1,6,1,13,1,29,1,7,1,6,1,8,1,13,1,6,1,7,1,6,1,7,1,6,1,13,1,11,1,10,1,9,1,10,1,9,1,12,1,11,1,8,2,9,1,13,1,9,1,7,1,24,1,8,1,24,1,9,2,8,1,9,1,10,2,17,1,11,1,17,7,12,1,17,29,11,1,17,2,16,3,11,1,9,1,17,1,16,2,9,1,17,1,11,1,17,2,16,1,9,1,16,2,11,1,16,1,17,1,11,1,16,2,17,1,16,2,17,2,11,1,9,1,13,1,8,3,24,1,8,1,13,1,6,1,13,4,24,4,13,1,8,2,24,1,13,1,24,1,7,1,13,1,7,1,6,1,24,2,8,2,7,1,6,1,13,3,24,1,12,1,10,2,8,2,13,1,8,1,9,1,11,1,24,1,12,2,10,1,12,1,10,1,12,1,11,1,9,4,8,1,9,3,10,1,9,1,10,2,9,3,10,1,17,3,16,1,11,1,16,1,17,1,16,1,17,2,16,3,17,24,16,1,17,2,16,1,17,1,16,3,17,1,16,1,17,9,16,1,9,1,13,1,8,1,10,2,9,2,11,1,10,1,11,2,9,2,11,1,16,1,17,1,8,1,9,1,16,1,11,1,17,3,11,1,9,1,11,1,9,1,11,1,17,21,8,1,13,1,6,6,29,1,30,1,6,1,28,1,30,1,28,1,29,1,30,1,28,1,29,1,27,1,28,1,30,1,28,2,30,1,28,13,30,1,28,5,30,1,29,1,28,1,7,1,13,1,6,1,8,1,7,1,13,1,7,1,13,2,7,1,8,2,24,4,9,1,8,1,9,1,10,1,9,1,17,1,13,1,29,1,7,1,13,1,30,1,13,1,7,1,13,1,28,1,7,1,28,1,29,1,6,1,30,3,6,4,30,4,6,1,28,33,7,1,30,1,28,74,30,1,13,1,30,1,6,2,28,2,6,2,7,1,6,1,13,1,7,1,8,1,13,1,6,1,8,1,13,2,8,3,13,1,8,2,13,1,9,1,7,2,8,1,13,1,30,1,7,1,6,1,30,3,29,1,28,7,30,5,28,2,30,2,28,2,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,29,1,7,1,30,1,6,4,7,1,13,1,7,1,13,1,7,1,13,2,7,1,13,2,9,1,13,1,8,1,9,1,8,1,9,2,8,1,10,2,12,1,10,1,11,1,13,1,6,1,7,1,6,2,7,1,30,1,6,1,28,45,30,1,28,2,30,1,28,3,29,1,28,1,29,1,28,2,6,1,28,29,7,1,30,1,13,2,6,1,13,1,7,1,6,1,30,1,7,1,29,1,6,1,30,3,28,1,13,1,30,1,28,1,6,1,30,1,29,2,30,1,13,1,28,1,6,1,28,1,30,1,28,1,30,4,7,1,28,1,13,1,29,1,6,1,7,1,6,2,13,1,7,1,29,1,13,1,29,1,13,1,6,2,29,1,30,1,13,1,7,1,8,1,13,1,9,2,10,1,11,1,9,1,8,1,24,2,8,2,13,1,24,2,8,1,25,1,8,2,24,1,8,3,24,2,25,1,24,1,8,2,24,1,25,1,8,1,24,2,8,2,24,1,10,1,8,1,24,1,8,2,24,1,12,1,10,1,12,1,24,1,12,1,10,1,17,2,12,1,10,1,17,2,9,1,10,1,17,1,12,1,17,1,9,1,17,2,12,1,17,1,24,1,17,1,24,2,10,1,12,1,8,1,24,1,10,1,8,2,13,1,24,1,13,1,24,1,8,1,24,1,7,1,24,1,10,1,9,1,13,1,24,1,10,1,24,1,10,2,12,1,10,1,12,1,8,1,12,2,13,1,12,1,9,1,17,1,9,1,11,1,12,2,9,1,24,1,17,1,9,1,17,1,9,1,17,1,9,1,10,1,17,1,10,1,8,1,12,1,24,2,9,1,8,2,24,1,9,1,10,1,11,1,17,25,11,1,17,1,9,1,13,1,7,1,8,3,25,2,26,1,25,1,6,2,7,1,30,2,29,2,28,1,6,1,30,2,29,1,30,1,29,1,30,1,29,1,28,33,30,3,29,3,8,1,7,1,24,2,10,2,9,1,13,1,9,1,17,37,12,1,17,1,12,1,17,7,12,1,17,1,12,1,17,1,10,2,17,1,11,1,17,1,9,1,17,1,12,1,11,1,17,2,12,1,17,1,11,1,12,1,10,2,12,3,17,1,12,1,10,1,13,1,9,1,8,1,9,2,11,1,9,1,13,1,12,1,11,1,10,1,11,1,12,1,9,1,10,1,12,1,8,2,9,2,17,2,11,2,8,1,13,2,8,1,9,1,13,3,7,1,6,1,13,1,30,1,13,4,33,1,5,37,6,1,28,14,8,1,17,3,24,1,13,2,6,1,28,1,29,1,28,4,6,1,8,1,17,1,16,1,9,1,28,6,13,1,10,1,13,1,28,32,24,1,15,1,9,1,}, {6,1,28,4,30,1,28,7,30,1,28,1,30,2,28,3,6,1,29,1,28,3,30,1,28,2,30,1,28,2,29,1,28,2,30,2,6,1,30,1,29,1,6,1,8,1,10,1,9,1,16,1,12,1,17,2,11,1,8,4,7,1,8,1,17,2,14,1,17,1,8,1,9,1,17,1,10,1,24,1,8,3,24,1,14,1,10,1,24,1,8,1,29,1,6,1,30,1,13,1,8,2,9,3,7,1,13,1,8,1,13,1,12,1,17,4,9,3,13,1,9,1,8,1,28,1,30,1,28,9,30,2,28,11,30,1,28,1,30,1,13,1,7,1,8,1,17,1,12,1,17,1,8,1,29,2,6,1,30,1,6,1,28,1,13,1,9,2,10,1,9,1,13,1,8,1,13,1,6,1,13,1,7,1,6,3,13,2,24,1,10,1,15,2,29,1,28,7,30,1,28,6,30,1,13,1,8,1,9,1,6,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,1,8,1,6,1,13,2,6,1,13,3,9,1,6,3,29,1,6,3,30,1,6,1,13,3,6,1,13,6,30,1,13,1,8,1,9,3,8,1,9,3,13,1,11,1,13,1,9,3,8,1,13,1,9,1,16,1,9,4,11,1,13,1,8,1,9,2,11,1,9,2,16,1,9,1,16,1,11,4,9,1,16,1,11,1,16,2,11,1,16,2,9,2,16,1,11,1,16,2,11,1,16,1,9,1,16,2,9,2,11,1,16,1,11,1,9,1,11,1,9,1,11,2,9,2,11,2,9,2,11,4,9,3,17,2,11,1,8,2,13,1,29,1,28,1,30,1,28,1,30,1,28,5,30,1,29,1,30,3,8,1,24,1,7,1,8,1,7,1,13,2,6,1,13,2,6,1,8,1,13,1,7,1,8,1,24,1,8,1,24,1,8,1,13,1,24,1,7,1,8,1,24,1,9,1,8,1,24,1,9,2,13,1,30,1,28,8,30,1,28,1,30,1,28,41,30,1,28,1,30,1,28,2,29,1,28,1,29,1,27,1,26,1,8,1,10,1,24,1,12,2,24,1,17,1,12,1,17,16,16,1,8,1,9,3,8,1,13,1,8,1,11,1,9,2,13,2,9,1,13,1,9,1,6,1,13,4,9,1,13,1,9,1,13,16,9,2,13,3,8,1,11,1,7,1,6,1,30,1,28,41,30,1,28,6,29,1,28,7,29,1,28,4,30,1,28,2,30,2,28,2,30,1,28,15,30,1,28,4,29,2,28,88,29,1,28,14,30,2,13,2,8,2,13,1,7,1,13,1,8,2,12,1,8,2,24,1,7,1,8,1,9,1,8,1,24,2,8,1,10,1,8,1,24,1,13,1,24,1,6,1,28,3,30,1,28,53,30,1,28,2,30,1,28,3,30,1,28,1,30,2,28,1,29,1,30,2,13,1,7,1,6,1,7,1,6,1,7,1,8,1,6,2,7,1,6,1,10,1,9,1,24,2,9,1,8,1,11,1,12,1,9,1,12,1,11,1,12,1,17,1,11,1,12,1,17,1,12,2,17,2,16,1,5,232,28,6,9,1,11,2,8,1,9,1,17,1,28,2,29,1,9,1,11,1,8,1,24,1,8,1,9,1,16,1,13,1,5,6,30,1,28,1,13,1,6,2,28,4,7,1,8,1,17,2,5,130,13,1,28,1,30,1,8,1,13,1,29,1,13,1,7,4,13,2,8,1,7,1,28,1,6,1,7,1,8,1,10,1,8,1,13,1,9,1,12,1,9,1,12,1,24,1,8,2,29,1,8,1,13,1,10,1,8,1,11,2,9,1,8,1,11,1,9,1,12,3,17,26,11,1,17,7,12,1,17,2,11,1,10,1,11,1,16,1,11,1,17,1,16,1,11,2,16,1,11,1,9,1,16,1,11,1,16,2,11,1,16,2,17,1,16,2,17,1,16,1,17,7,9,1,8,2,9,1,8,3,13,2,8,2,13,1,7,1,13,1,24,1,9,1,8,1,24,1,8,1,7,1,13,2,8,1,13,1,24,1,13,1,12,1,8,1,13,1,7,1,24,3,7,1,13,2,8,1,10,1,9,1,24,1,12,1,9,1,8,1,9,1,6,1,13,1,8,2,9,2,12,1,10,1,9,1,12,1,10,1,9,1,24,2,8,1,24,1,8,1,10,2,9,1,24,1,11,1,10,1,11,1,17,2,11,2,17,3,11,2,16,1,17,1,16,1,17,1,16,1,17,3,11,1,16,1,17,2,16,1,17,5,16,1,17,13,11,1,16,1,11,1,16,2,11,1,16,6,17,11,11,1,17,1,10,1,17,1,11,1,17,1,11,1,9,1,11,1,17,1,16,1,17,11,16,1,17,10,16,4,17,1,16,4,17,1,16,1,17,3,9,1,13,1,29,1,7,1,29,1,7,1,29,2,7,1,6,1,30,1,28,1,30,1,28,3,30,1,29,1,28,2,30,1,28,19,30,1,28,1,29,1,30,1,28,1,6,1,30,1,29,1,6,1,13,1,29,1,13,1,8,1,13,1,6,1,8,2,24,1,9,1,24,1,9,2,24,1,17,1,9,1,17,1,9,2,6,3,13,1,6,1,7,1,30,4,28,1,30,1,29,1,6,1,28,1,6,2,30,1,7,1,30,2,6,2,30,1,28,23,30,1,28,47,30,1,28,30,6,1,28,1,30,3,6,1,30,2,6,1,28,1,29,1,6,2,7,1,13,1,7,1,13,2,9,1,13,3,8,1,9,2,8,2,9,1,13,4,9,2,13,1,9,1,13,1,6,1,30,2,6,1,30,1,6,1,30,1,28,4,30,1,28,13,30,2,28,1,30,4,13,1,6,1,30,1,13,1,6,1,30,1,6,1,7,2,6,2,7,2,13,4,8,2,13,3,8,1,13,1,9,3,11,1,12,2,10,1,11,1,10,1,13,5,7,1,13,1,6,2,30,1,28,1,30,1,28,1,30,1,28,38,30,3,28,2,30,1,28,4,30,1,28,1,29,1,28,32,6,4,13,1,30,1,6,5,30,1,28,1,29,1,30,1,7,1,30,1,6,1,13,1,7,1,6,1,30,4,28,2,30,1,28,1,6,2,30,2,28,1,30,1,29,1,6,1,13,1,30,1,6,1,13,5,7,1,6,1,13,1,6,1,13,1,7,1,13,3,8,1,9,3,12,1,8,2,24,1,12,1,9,1,24,2,8,1,24,1,12,1,8,1,24,3,8,1,24,1,8,2,12,1,8,1,7,1,24,1,8,2,10,1,24,4,10,1,24,1,10,1,9,1,10,1,12,1,24,1,12,1,24,1,12,1,10,1,12,2,17,1,12,2,17,2,10,2,17,1,12,1,17,2,12,1,10,1,12,1,9,1,8,1,12,1,9,1,8,1,9,1,8,1,13,1,10,1,24,1,8,2,24,1,8,1,10,1,8,2,12,1,24,4,8,1,24,2,9,1,10,1,24,1,12,1,8,1,12,1,24,1,9,1,12,1,24,1,12,1,9,2,17,2,8,1,12,1,17,3,9,1,17,1,12,1,11,1,12,1,24,1,11,1,9,1,10,1,8,1,24,1,9,1,12,1,13,1,24,1,13,1,8,2,13,1,12,2,17,21,10,1,12,1,10,1,9,1,8,3,25,1,27,1,25,2,8,1,25,1,26,1,8,1,29,1,30,5,28,1,30,1,29,1,30,2,28,1,29,1,30,3,28,32,30,1,28,2,29,2,6,1,8,4,24,1,8,1,24,1,8,2,10,1,17,35,12,1,17,9,11,1,17,3,12,1,17,2,12,1,17,2,12,1,11,1,12,2,10,1,12,1,17,1,12,1,9,1,17,1,11,1,12,1,24,1,17,1,10,1,9,1,10,1,9,1,8,1,9,2,10,1,8,2,9,1,17,1,9,4,17,2,9,1,11,1,10,1,9,1,17,1,8,1,12,1,11,3,9,1,8,1,13,1,10,1,6,1,13,1,7,1,30,1,13,3,9,1,5,42,28,15,9,1,17,3,10,1,24,1,6,1,30,1,28,1,29,1,28,3,30,1,6,1,9,1,14,1,11,1,9,1,28,6,9,1,15,1,8,1,28,32,8,1,15,2,}, {28,2,30,2,28,14,30,1,28,3,30,1,28,6,6,1,29,1,28,4,30,1,28,2,29,2,13,1,24,1,8,1,12,1,16,1,17,2,9,1,13,1,24,1,13,4,17,3,9,4,8,1,13,1,8,1,13,1,8,2,10,1,15,1,9,1,13,1,6,1,7,2,13,1,7,1,9,1,12,1,9,2,13,1,6,1,13,1,8,1,9,1,16,1,17,4,11,1,10,1,9,2,8,1,30,1,29,1,28,18,30,1,28,5,6,2,13,1,7,1,10,1,17,2,24,1,13,1,29,1,28,1,29,1,28,2,29,1,24,1,12,2,8,1,9,2,8,2,13,2,6,1,30,1,6,1,7,1,8,1,7,1,10,1,9,1,10,1,7,1,30,1,28,10,30,1,28,3,8,1,6,1,8,1,9,2,8,1,9,1,13,1,11,1,8,2,13,3,8,1,13,3,9,1,6,1,13,2,6,1,13,1,6,1,9,1,6,1,13,2,6,1,30,1,8,1,30,1,6,1,30,1,13,7,30,1,13,2,8,1,13,4,9,3,16,1,9,4,11,1,16,1,9,1,13,1,9,1,11,1,16,1,11,3,9,3,11,1,16,1,9,1,16,1,11,2,9,2,11,1,16,2,11,1,16,4,14,1,16,4,9,1,11,1,9,3,16,1,11,1,16,1,9,1,11,1,9,1,16,1,11,1,16,2,9,1,16,2,11,1,10,1,9,1,16,1,11,1,16,1,9,1,11,1,9,2,16,2,17,1,9,1,6,1,29,1,6,1,7,1,28,12,29,1,28,3,6,1,13,1,6,1,13,1,6,1,13,1,29,1,8,1,6,2,13,1,6,1,13,1,6,1,13,1,24,2,13,1,6,1,8,2,13,1,8,4,9,2,24,1,8,1,28,7,30,1,28,4,30,1,28,40,30,1,28,2,30,2,26,1,30,1,25,3,24,1,8,1,12,1,24,2,17,1,12,2,17,19,9,1,17,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,13,3,7,1,13,2,8,1,13,1,9,1,13,4,9,1,13,10,8,1,13,6,30,1,11,1,13,1,8,1,30,1,6,1,28,47,30,2,28,19,6,1,29,1,28,7,30,1,28,4,30,2,28,3,30,3,28,1,6,1,28,1,30,1,28,97,30,2,29,2,28,1,30,1,29,2,28,1,8,1,13,1,8,1,29,1,6,1,8,1,6,2,8,1,24,2,6,1,8,1,24,1,8,1,7,1,9,1,8,1,24,1,7,1,10,1,8,2,28,1,30,1,28,66,30,3,28,1,6,1,7,1,29,1,13,1,6,1,7,2,8,1,10,1,24,1,10,1,24,2,13,1,10,1,24,1,8,1,12,1,9,1,11,1,10,1,11,1,12,1,9,1,12,1,16,1,12,1,11,1,16,1,17,1,16,1,5,233,28,6,30,1,8,1,24,1,11,1,8,1,17,1,28,2,13,1,24,1,9,1,8,1,9,2,11,1,13,2,5,6,28,2,6,1,28,6,30,1,8,1,11,1,17,1,5,130,13,1,28,1,6,1,13,1,30,1,13,6,6,1,13,4,6,1,7,1,13,1,8,1,13,1,10,1,12,1,8,1,10,1,17,1,8,1,24,1,12,1,13,1,9,1,8,2,12,1,10,1,17,1,9,3,10,1,12,1,17,3,12,1,17,7,12,2,17,25,12,1,11,1,17,2,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,2,17,1,16,1,17,1,11,2,16,3,11,1,16,1,17,3,16,1,17,4,9,1,13,1,24,1,13,1,10,1,13,1,24,1,7,1,13,1,8,1,7,1,13,1,8,2,24,1,10,1,24,2,12,1,8,1,24,1,8,1,9,1,13,1,9,1,12,1,9,1,24,3,10,2,24,3,9,1,10,1,24,1,12,2,11,1,9,1,12,1,8,2,13,1,8,1,12,1,9,1,10,1,11,1,12,1,10,1,12,1,9,1,10,1,9,3,24,1,8,1,9,1,24,1,8,1,9,1,12,1,9,3,17,1,9,1,17,1,11,1,17,1,11,1,16,4,17,1,16,1,17,1,16,1,17,2,16,1,17,12,16,2,17,7,16,1,17,1,16,2,11,5,16,3,11,1,16,5,17,1,16,1,17,2,16,5,17,1,16,2,11,2,9,1,17,2,16,1,11,1,16,5,17,1,16,3,17,1,16,2,17,1,16,2,17,3,16,6,17,1,16,9,17,2,12,1,13,1,29,1,6,1,7,1,30,1,6,2,30,2,6,1,28,2,30,1,29,1,30,2,28,5,30,1,28,20,6,1,30,1,29,1,7,1,29,1,13,1,7,1,13,1,30,1,6,1,8,1,24,1,13,1,8,3,10,1,9,1,17,1,12,1,10,1,12,1,17,1,9,1,7,1,30,1,13,2,7,1,6,2,28,1,30,1,28,2,6,1,13,1,28,1,30,1,28,4,6,2,28,1,29,1,6,1,28,1,30,1,28,58,30,1,28,1,30,1,28,2,30,1,28,3,30,2,6,1,30,1,28,17,30,1,28,10,29,1,30,1,6,1,30,2,6,1,30,2,6,2,30,1,29,1,30,1,13,1,6,1,13,1,9,1,13,4,9,2,13,1,9,1,13,1,8,2,13,2,9,2,13,1,9,1,13,1,8,1,13,2,7,1,30,1,29,1,28,17,30,1,28,7,30,1,28,1,6,1,30,1,6,1,29,1,6,2,29,1,6,1,30,1,7,1,30,1,6,1,13,7,6,2,13,2,8,1,13,1,8,1,10,1,8,2,11,2,9,1,10,1,17,1,10,1,11,1,9,1,24,1,8,1,9,1,8,1,13,3,28,1,13,1,6,3,28,41,30,2,28,2,30,1,28,1,6,1,30,1,28,1,29,1,7,1,28,5,30,1,28,27,30,1,13,3,29,1,6,1,29,1,6,2,30,1,6,2,30,1,28,1,13,1,29,1,13,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,2,7,1,28,1,29,1,30,2,13,1,6,1,13,3,8,1,7,1,29,1,13,1,6,1,13,2,29,1,30,1,13,3,8,1,9,1,13,1,24,1,10,1,12,2,9,1,8,2,10,1,8,1,24,1,10,1,8,1,12,1,8,1,10,2,24,2,10,1,24,1,10,1,24,2,10,1,8,2,10,1,24,6,9,1,24,1,8,1,10,1,8,1,10,1,17,1,8,1,17,1,24,1,12,1,17,1,10,1,17,2,10,1,17,2,24,1,17,1,24,1,12,1,8,1,9,1,12,1,8,1,9,1,8,1,10,1,24,2,13,1,24,1,8,1,24,1,6,1,12,1,8,3,12,1,13,1,24,1,13,1,24,1,9,1,24,1,8,1,10,1,8,1,10,2,12,3,10,1,24,1,9,1,8,1,10,1,12,1,9,2,17,1,24,1,9,1,17,1,11,1,12,1,17,2,12,1,10,1,8,2,24,1,12,1,24,1,8,1,24,1,8,1,12,1,24,2,12,1,13,1,24,1,9,1,10,2,9,1,17,1,12,1,17,19,10,1,12,1,10,1,8,1,9,1,8,2,26,1,8,1,25,1,26,1,27,1,25,1,27,2,29,3,30,2,28,2,30,2,28,4,30,1,28,1,29,1,30,2,28,29,30,1,29,1,30,1,27,1,28,1,27,1,25,3,24,1,7,1,24,1,8,1,24,1,12,1,8,1,12,1,17,45,11,1,17,8,12,1,17,1,10,1,17,2,12,2,17,1,11,1,12,1,11,1,9,1,10,1,17,1,12,1,10,1,9,1,24,1,9,2,10,1,24,1,8,1,11,1,10,1,8,1,11,1,12,1,13,1,10,2,12,2,10,1,11,2,12,3,11,1,10,1,9,1,10,1,13,2,9,1,13,3,9,1,13,1,6,1,5,45,28,14,6,1,9,1,17,3,9,1,8,1,29,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,13,1,10,2,16,1,8,1,28,6,13,1,17,1,7,1,28,31,30,1,9,1,15,1,8,1,}, {28,1,30,1,28,2,30,1,28,1,30,1,28,7,30,2,28,3,30,1,28,1,30,2,28,11,30,1,6,1,29,1,6,1,29,1,30,1,24,2,9,1,17,4,11,1,9,1,7,1,13,1,8,1,7,1,16,1,17,3,11,1,10,1,11,2,8,1,9,1,24,1,8,1,13,2,24,1,15,1,8,1,7,1,30,1,7,1,29,1,13,2,24,1,9,2,8,1,13,1,7,2,6,1,9,1,17,4,16,1,9,1,10,2,11,1,9,1,29,1,28,22,30,1,28,1,30,1,29,1,6,2,7,1,24,1,12,1,17,1,10,1,6,1,30,1,6,1,13,1,28,2,30,1,8,1,10,1,12,1,24,1,8,2,6,1,8,1,13,4,7,1,6,1,8,1,13,1,10,1,24,1,15,1,7,1,29,1,28,13,13,3,8,1,9,1,8,1,9,2,8,1,9,2,13,1,9,1,13,7,6,2,13,3,6,1,13,1,6,2,13,1,6,1,13,1,6,2,8,1,30,1,8,1,13,3,8,1,13,3,16,2,9,4,8,1,9,1,13,1,16,1,9,1,11,1,9,3,13,1,9,1,11,1,9,1,16,1,9,1,16,1,13,1,9,3,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,4,16,1,17,1,16,9,9,2,16,1,9,1,16,2,9,2,16,1,11,2,16,1,11,2,16,2,11,1,9,1,16,1,11,2,16,1,11,4,9,1,17,2,12,1,9,1,29,1,7,1,29,1,30,1,28,13,30,3,29,1,28,1,6,1,7,1,6,1,13,1,6,1,8,1,13,1,8,1,29,1,6,2,8,1,6,1,8,1,13,1,8,1,9,1,7,1,8,1,13,1,8,1,13,1,9,3,10,1,11,1,12,1,10,1,7,1,30,1,28,8,6,1,28,44,30,1,29,1,6,1,30,1,25,1,26,2,25,1,24,3,12,2,17,3,12,1,17,1,12,1,17,2,12,2,17,22,16,2,11,1,9,1,13,1,9,1,13,1,8,1,13,2,6,2,13,2,6,1,13,3,8,1,13,1,8,1,13,6,9,1,6,1,13,2,8,1,9,1,13,2,29,1,28,65,30,2,28,1,30,1,6,2,28,24,30,1,28,44,30,1,28,39,29,1,28,12,30,1,28,3,29,1,6,1,13,1,29,2,6,1,13,1,29,1,28,1,6,1,7,2,13,1,7,1,13,1,6,2,13,1,24,1,8,2,13,1,6,1,8,1,6,1,7,1,8,1,30,1,29,1,28,58,30,2,28,1,30,2,29,1,6,3,30,1,8,1,7,1,13,1,7,1,6,2,8,1,7,1,8,1,13,1,24,1,13,1,24,1,10,1,9,2,10,2,11,3,9,1,17,1,10,1,17,1,11,1,17,2,10,1,16,1,17,1,5,235,28,7,24,1,10,1,9,2,17,1,28,4,9,2,8,1,9,1,17,1,9,1,5,7,30,1,28,1,29,1,28,7,6,1,9,1,17,1,5,130,13,1,28,1,30,1,13,1,29,1,13,1,7,2,13,3,8,1,13,2,6,1,7,1,6,1,13,1,7,1,8,2,24,1,8,1,10,2,12,1,11,1,8,1,10,1,29,1,8,1,13,1,8,1,12,1,9,1,12,1,8,2,11,1,9,1,12,1,17,4,12,1,17,1,12,1,17,2,12,1,17,13,12,1,17,13,9,1,17,1,16,1,17,1,11,1,16,1,17,1,16,3,17,2,16,5,17,1,11,1,9,1,17,1,11,1,16,1,11,1,17,3,16,1,17,5,11,1,9,2,13,1,9,1,13,1,24,1,13,1,7,1,8,1,13,1,6,1,8,1,6,2,10,1,12,1,9,1,11,2,12,1,9,1,12,1,10,1,9,1,10,1,8,1,24,1,12,2,24,3,8,1,24,1,8,1,24,1,10,1,12,1,9,1,10,1,9,3,24,1,9,1,13,2,9,1,13,1,11,3,12,2,24,1,9,1,10,1,9,1,10,1,9,1,11,1,24,1,9,2,10,1,11,3,10,1,17,1,11,1,16,1,12,1,16,2,17,1,16,2,11,1,17,1,16,2,11,1,16,4,17,3,16,1,17,4,16,2,11,1,17,8,16,1,17,1,16,1,17,1,11,1,16,2,11,1,16,1,11,1,16,1,17,3,16,1,17,3,16,1,17,4,16,1,17,2,16,1,17,2,11,1,16,2,17,2,16,1,17,1,11,1,17,2,16,1,17,1,16,1,17,1,16,1,17,2,11,1,16,2,17,1,16,1,17,2,16,1,17,3,16,4,17,1,16,5,17,1,16,1,17,1,16,1,17,4,24,1,28,1,30,2,29,4,30,1,29,1,28,1,30,1,28,1,30,1,28,27,30,1,29,1,30,1,6,1,29,1,13,1,6,1,29,1,13,1,6,1,13,1,8,1,13,1,8,1,13,2,9,1,8,2,12,1,9,1,24,1,17,4,6,1,29,1,6,1,13,1,30,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,6,1,30,1,28,1,29,1,28,1,6,1,28,1,6,1,30,2,28,1,30,1,28,62,30,2,28,3,13,1,28,1,6,1,28,3,29,1,28,1,30,1,28,4,7,1,28,6,29,1,28,1,6,2,30,5,28,1,6,2,30,1,13,1,6,1,30,1,28,1,6,4,13,1,6,1,8,1,30,1,9,1,8,2,13,1,8,1,13,3,9,1,13,2,8,3,9,1,13,3,7,3,13,1,30,1,28,1,29,1,28,4,30,1,28,23,6,1,29,1,6,1,13,1,28,1,30,1,6,1,7,2,13,1,30,1,13,1,6,2,29,1,6,1,7,1,13,6,6,1,8,1,13,1,29,1,8,2,10,1,9,1,12,1,10,2,11,3,10,1,8,1,11,1,9,2,24,1,13,1,9,1,13,1,6,1,13,1,6,1,13,1,8,1,29,1,28,1,30,1,28,38,30,2,6,1,28,2,30,2,28,1,6,1,30,1,28,6,30,1,28,28,6,2,7,1,6,2,30,1,6,2,29,1,30,1,6,3,13,1,6,1,13,1,28,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,29,1,30,2,28,1,6,1,8,1,30,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,7,1,13,1,30,1,9,2,8,1,13,1,8,1,11,1,12,1,17,1,10,2,8,1,12,2,9,1,12,3,8,1,24,3,12,1,24,1,10,2,24,1,12,1,9,1,12,1,10,1,24,1,12,1,10,1,13,1,24,1,10,1,12,1,24,2,10,1,12,1,24,1,8,1,24,1,8,1,12,3,17,2,9,1,12,1,9,1,10,1,12,1,24,2,10,1,24,2,12,1,8,3,24,1,10,1,24,1,8,1,24,1,12,1,13,1,8,1,24,2,8,1,13,2,24,1,7,1,24,1,17,1,24,1,8,2,24,2,10,1,24,2,10,1,9,1,12,1,10,1,24,1,9,1,17,1,12,1,13,1,10,1,24,1,12,1,9,1,17,1,12,1,17,1,10,1,17,1,8,1,24,1,10,1,24,1,10,1,8,1,9,1,8,1,12,1,17,1,8,1,12,1,24,1,8,1,12,1,9,1,6,1,8,1,9,1,24,1,9,1,10,1,12,1,17,19,12,1,10,1,9,1,8,1,24,1,7,1,25,2,8,1,27,1,29,1,6,1,30,1,29,1,27,1,28,1,30,1,28,2,27,1,28,2,30,2,28,2,30,1,28,38,30,1,27,3,25,1,24,1,25,2,24,1,13,1,24,1,10,2,24,1,7,1,12,1,17,34,12,1,17,3,12,1,17,11,12,1,17,1,11,1,17,1,11,1,17,3,10,1,24,1,10,4,8,1,10,1,8,2,9,1,11,1,10,1,9,1,11,1,9,1,8,2,11,1,8,1,17,1,11,1,9,2,11,1,9,1,11,1,9,2,8,1,12,1,10,1,11,1,12,1,9,3,13,1,6,1,13,3,33,1,5,48,28,15,17,1,16,1,17,1,16,1,12,1,7,1,6,1,29,1,6,1,30,1,28,2,29,1,28,1,8,2,9,1,15,1,13,1,28,6,15,1,17,1,8,1,28,32,15,2,9,1,}, {29,1,28,1,29,1,30,2,28,13,30,1,28,2,30,1,6,1,28,1,29,1,28,7,30,1,28,1,29,1,6,1,30,1,28,1,30,1,6,1,13,1,9,1,8,1,10,1,9,1,17,2,16,1,8,1,13,2,7,1,8,1,9,1,17,1,14,1,16,1,11,1,24,1,9,2,24,1,8,2,30,1,28,1,6,1,10,1,11,1,9,1,29,1,28,1,7,1,30,1,7,1,6,1,12,1,11,2,24,1,7,2,13,2,12,2,17,4,11,1,9,1,16,1,17,1,14,1,7,1,30,1,28,4,30,1,28,7,30,1,28,2,30,1,28,7,30,1,6,3,13,1,10,1,24,1,17,1,8,1,6,1,30,2,28,2,30,1,28,1,24,1,10,1,11,1,8,4,13,2,8,2,29,1,7,3,13,1,8,1,24,1,15,1,13,1,28,14,6,1,7,1,9,3,13,1,9,1,13,1,9,2,13,1,11,1,13,9,8,1,13,7,9,1,13,1,30,1,9,1,13,2,8,1,9,1,13,1,9,1,13,1,9,1,11,1,9,2,16,1,9,1,8,1,9,2,13,1,8,1,16,1,9,1,16,2,9,2,13,2,11,1,9,1,11,2,9,2,16,1,9,1,16,2,9,3,11,1,9,1,11,1,16,2,11,2,16,3,11,1,16,10,11,2,9,1,16,1,11,1,9,2,16,1,11,2,16,1,11,2,16,1,9,2,11,2,9,1,16,2,9,1,11,3,16,1,9,1,13,1,28,2,30,1,28,16,30,3,13,1,30,1,29,1,13,1,7,1,13,2,8,1,6,2,13,1,6,1,7,1,13,1,6,1,8,1,7,1,8,2,24,1,8,2,24,1,8,2,24,3,11,1,17,1,8,1,28,1,30,1,28,3,29,1,28,2,6,1,28,3,30,1,28,22,30,1,28,18,30,2,6,1,29,1,8,1,27,1,24,2,10,1,24,1,9,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,30,16,1,17,4,16,1,9,3,6,1,13,7,9,1,6,1,13,1,9,1,8,1,9,2,13,1,6,1,13,3,8,1,6,1,7,1,28,68,24,1,8,1,6,1,30,1,6,1,28,2,29,1,28,3,30,1,28,11,30,1,28,7,30,1,28,82,30,1,28,6,30,1,28,3,29,1,28,3,29,1,28,2,30,1,28,1,6,2,29,2,13,1,7,1,13,1,7,3,13,1,7,1,8,2,13,1,7,1,13,1,8,1,13,1,24,1,7,1,9,1,6,1,28,32,30,1,28,4,29,1,28,18,30,1,28,2,29,1,28,1,6,1,30,1,29,3,28,1,6,1,29,1,6,2,7,2,29,1,7,3,24,1,8,2,9,1,24,1,9,3,12,1,10,1,11,1,12,1,9,1,12,2,11,2,12,2,10,1,11,1,16,2,5,237,28,6,13,1,24,2,8,1,17,1,28,4,6,1,24,1,9,1,8,1,16,1,5,9,28,1,30,1,28,7,29,1,8,1,17,1,5,130,13,1,28,1,30,1,7,1,13,1,7,2,13,5,10,1,13,1,6,2,13,2,7,1,8,1,7,1,8,1,10,1,17,1,9,1,17,1,12,1,8,1,17,1,6,1,8,1,9,1,8,1,9,1,10,1,12,1,8,2,11,1,10,2,17,1,11,1,17,32,12,1,17,1,12,1,17,1,11,1,17,1,16,1,11,1,16,1,11,2,16,2,17,2,16,1,17,1,16,1,11,1,16,2,11,2,17,1,11,1,17,1,16,1,17,1,16,2,17,1,16,1,17,3,16,1,17,1,9,1,11,1,13,1,9,1,13,1,8,1,13,1,8,1,24,1,13,1,24,1,8,1,24,1,8,1,24,1,17,1,9,1,12,2,10,1,12,1,11,1,12,2,8,1,9,1,24,1,12,1,13,1,10,1,12,1,8,1,9,1,24,1,13,1,8,1,10,1,9,1,24,1,9,1,12,1,10,1,24,2,9,1,8,1,9,1,24,1,13,1,8,3,10,2,9,6,24,1,10,1,8,1,11,1,10,1,11,1,17,1,11,2,17,1,12,1,16,3,11,1,17,1,16,1,11,1,16,1,12,1,17,1,16,2,11,1,16,2,11,1,17,1,16,3,17,2,16,2,17,2,16,2,17,7,16,1,17,1,16,2,11,3,16,1,11,1,16,1,17,1,16,2,17,3,16,3,17,3,16,1,17,2,16,6,17,3,16,1,17,1,16,1,17,1,16,1,17,5,16,7,17,2,16,1,17,1,16,1,17,1,16,5,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,4,17,2,12,1,28,7,30,1,28,33,30,1,28,1,6,1,30,1,29,1,7,1,30,1,6,1,29,1,7,2,13,1,8,2,24,1,8,1,24,1,10,1,12,1,24,1,12,1,11,1,12,1,11,1,17,1,10,1,28,1,7,2,13,1,6,1,30,1,28,2,29,1,28,1,30,1,28,2,30,1,6,1,30,2,28,1,7,1,30,1,28,1,30,1,28,69,6,2,28,1,30,1,28,1,7,1,13,1,6,1,30,1,6,1,28,1,6,1,28,1,30,1,28,1,30,3,28,1,30,1,29,1,28,2,30,1,29,1,6,2,30,1,6,1,30,2,6,2,13,1,6,2,7,1,13,1,30,1,6,1,7,1,6,2,8,1,7,1,8,5,13,1,9,1,8,3,9,1,13,1,8,1,13,4,6,1,30,2,28,5,30,1,28,9,30,1,28,13,30,1,28,2,30,1,6,1,30,1,28,1,30,3,6,2,30,1,6,2,30,1,6,2,7,1,13,2,6,1,13,3,7,1,13,1,7,1,13,2,6,1,13,1,9,1,13,1,8,1,10,1,9,1,10,1,8,1,10,1,12,1,11,1,10,2,11,1,8,1,9,1,10,1,8,1,9,3,13,2,7,1,13,1,30,1,7,2,29,1,30,3,28,37,7,1,30,1,28,1,30,1,28,40,7,2,6,3,7,1,13,1,30,1,13,1,28,1,29,1,13,1,7,1,6,1,29,1,30,1,6,1,28,1,6,1,28,1,13,1,28,2,6,1,28,1,6,1,28,1,30,1,28,1,29,1,28,2,6,2,13,3,6,1,13,1,6,1,8,2,6,4,13,1,8,2,13,1,8,1,13,1,17,3,12,2,10,2,12,1,10,1,12,1,10,1,12,1,10,3,8,1,10,1,24,1,17,1,24,3,9,1,12,1,24,1,9,1,24,1,10,1,12,1,9,1,24,1,10,1,8,1,24,1,12,1,24,1,12,1,17,2,12,1,17,3,10,1,12,1,10,1,8,1,12,1,24,2,10,1,24,1,10,1,8,1,10,1,12,1,24,1,10,1,12,1,13,1,24,4,8,1,13,1,9,1,7,1,13,1,8,1,24,1,8,2,10,1,8,2,24,1,10,1,24,2,12,1,13,1,17,1,10,1,9,1,12,1,24,1,12,1,10,1,9,1,10,2,12,1,10,1,12,1,9,1,12,1,17,1,9,1,17,1,12,1,8,1,24,1,12,1,7,1,24,1,10,1,24,1,10,1,24,1,8,1,24,1,8,1,12,1,9,1,24,1,10,2,8,1,24,2,9,1,10,1,11,1,17,18,12,1,17,1,8,3,13,1,25,1,8,1,25,1,8,1,26,1,30,1,6,1,28,1,27,1,30,5,28,2,30,1,28,2,30,1,28,36,30,1,28,1,30,2,28,1,29,1,30,1,27,1,26,2,8,1,24,1,25,1,24,7,9,1,12,1,17,19,12,1,17,29,11,1,17,4,12,1,10,1,17,2,11,1,9,1,24,2,9,1,10,1,8,2,13,1,8,1,7,1,9,1,13,1,12,1,9,1,8,2,9,1,17,1,10,1,12,1,10,1,13,1,11,1,10,1,8,2,11,1,9,2,13,2,6,1,7,1,8,1,30,2,13,1,5,51,28,14,6,1,17,2,11,1,12,1,24,1,7,1,6,1,13,1,6,2,28,3,30,1,6,1,7,1,10,1,9,1,13,1,28,6,14,1,17,1,8,1,28,31,30,1,11,1,15,2,}, {29,1,28,2,30,2,28,1,30,1,28,13,29,1,28,4,29,1,28,9,6,1,28,1,30,1,29,1,6,1,13,1,9,1,13,1,9,1,11,1,17,3,9,1,13,1,6,1,8,1,13,1,8,1,17,1,14,1,17,1,16,1,8,1,9,1,17,1,24,1,8,2,11,1,8,1,6,1,13,1,14,1,24,1,30,1,29,2,13,1,7,1,29,1,9,1,12,1,9,1,8,1,24,1,13,3,17,5,11,2,12,1,17,1,16,1,11,1,6,1,30,2,28,10,30,1,28,12,29,1,6,1,13,1,8,1,24,1,12,1,17,1,8,1,6,2,28,4,6,1,10,1,17,1,9,2,13,1,6,1,8,2,13,2,6,1,29,1,7,1,13,1,6,1,8,1,15,1,12,1,9,1,8,1,28,1,29,1,28,8,30,1,28,3,6,1,13,2,9,1,13,2,9,1,13,1,8,2,9,1,8,1,9,1,13,3,9,2,13,3,6,1,13,3,8,1,13,3,6,1,8,1,9,1,13,1,8,1,9,2,13,2,9,2,16,1,9,1,8,1,13,2,11,1,8,1,11,1,9,3,13,1,9,2,11,1,9,7,11,1,9,2,11,1,16,1,13,2,8,1,16,1,11,1,16,2,8,1,16,2,11,1,16,4,11,1,16,3,11,1,16,1,11,1,16,6,11,1,9,1,11,1,16,1,9,1,16,1,9,1,16,1,11,1,16,2,9,1,11,1,16,1,10,1,9,1,16,1,11,1,9,3,11,1,8,1,6,1,30,2,28,18,30,1,28,1,29,3,7,1,6,1,7,4,6,1,13,1,8,1,6,1,13,2,6,2,8,1,6,1,24,1,9,1,13,3,24,1,8,1,9,1,10,1,9,1,10,1,9,1,10,1,13,1,28,6,30,1,6,1,29,1,30,3,28,3,30,1,28,20,30,1,28,3,29,1,30,1,28,11,29,1,30,1,6,1,25,1,6,1,25,1,24,1,8,1,24,2,12,1,10,1,17,1,24,1,10,1,17,3,12,1,17,2,12,1,17,1,10,1,17,28,16,1,17,6,11,1,13,2,6,1,9,1,8,1,9,1,13,1,9,1,13,2,8,1,13,1,6,1,8,1,13,1,8,1,9,2,10,1,6,1,7,1,28,37,30,1,28,12,30,1,28,5,30,1,28,10,6,2,7,2,13,2,29,1,28,1,29,1,30,2,28,7,30,1,28,1,30,1,28,3,29,1,28,1,30,1,28,86,6,1,28,1,30,1,28,15,30,2,6,1,30,1,6,2,28,1,13,1,28,1,7,1,6,1,7,3,6,1,7,2,8,1,13,1,8,1,13,1,6,1,8,2,13,1,8,2,6,1,29,1,28,26,30,1,28,26,30,1,28,1,29,1,28,1,30,3,28,1,6,1,29,2,30,1,13,1,6,2,28,1,8,1,6,2,7,1,8,1,7,1,24,1,8,2,24,1,9,1,24,1,9,2,10,1,11,1,9,1,12,2,10,1,11,3,17,1,11,1,12,1,10,1,17,1,16,1,5,238,13,2,28,4,29,1,9,1,24,2,12,1,13,1,28,3,30,1,8,1,9,2,11,1,5,9,28,9,30,1,13,1,17,1,5,131,28,1,6,1,30,1,13,1,7,1,13,1,8,1,7,1,8,1,13,2,8,1,7,1,13,1,7,1,13,1,6,1,8,1,9,3,8,1,10,2,12,1,10,1,7,1,17,1,8,1,24,1,17,1,13,1,17,1,11,1,10,1,9,1,8,1,10,1,11,1,17,2,11,1,12,1,17,23,12,1,17,10,16,1,11,2,17,1,11,2,17,1,16,1,11,1,17,1,16,7,11,1,9,1,17,1,16,3,17,1,16,2,17,2,16,1,17,2,16,1,17,1,16,1,11,1,10,1,9,1,7,1,24,1,13,2,6,1,7,1,13,1,8,1,6,2,8,1,10,1,17,1,9,1,17,1,9,1,17,1,12,2,10,1,8,1,10,1,9,2,10,1,24,2,8,1,9,1,10,1,8,2,13,2,10,1,12,2,24,1,12,1,24,1,11,1,12,1,9,1,12,1,24,2,11,1,9,1,11,2,10,2,9,5,10,1,9,1,10,1,12,1,11,3,17,1,16,1,9,1,17,1,16,1,12,1,11,1,9,1,17,1,10,1,11,3,16,1,11,2,16,1,11,1,16,1,11,7,16,4,17,1,16,1,17,6,16,1,17,1,16,1,11,2,9,1,16,1,11,3,16,1,11,1,17,3,16,2,17,8,16,3,11,1,16,1,11,1,16,2,17,1,16,1,17,3,16,5,17,4,16,3,11,1,16,1,17,2,16,1,17,5,16,3,17,1,16,5,17,1,16,3,17,4,28,42,30,2,28,1,29,1,7,1,28,1,6,3,13,2,7,1,13,2,24,1,10,1,24,1,12,1,24,1,10,1,12,1,10,1,17,3,13,1,28,1,6,1,28,1,6,1,7,1,28,1,30,2,28,1,30,2,28,5,30,1,28,2,30,1,28,3,6,1,28,30,30,1,28,29,30,1,28,5,6,1,28,6,6,1,30,1,6,2,29,1,28,1,30,1,13,1,6,1,28,2,30,3,13,1,30,1,6,2,7,1,6,2,30,1,7,1,28,1,30,2,6,2,30,3,6,2,13,4,8,1,9,1,8,1,13,2,8,1,13,4,8,1,7,1,13,3,6,1,28,7,30,1,28,29,30,1,28,2,30,5,13,1,7,1,30,1,6,1,29,1,7,1,30,1,7,1,28,1,29,2,6,1,29,1,30,1,13,2,7,1,8,1,9,1,13,1,7,2,13,1,8,1,9,1,8,1,9,1,10,1,9,1,11,2,12,1,10,1,9,2,11,1,10,1,9,4,10,1,9,2,13,1,6,1,13,1,6,1,30,1,13,1,30,1,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,33,30,1,28,4,30,1,28,5,30,2,28,1,30,1,28,4,30,2,28,3,29,1,28,18,30,1,6,1,29,1,6,2,7,1,6,1,7,1,13,1,30,1,28,1,6,1,30,1,6,1,7,1,28,1,13,1,28,2,29,1,30,1,13,1,28,1,30,1,28,1,29,1,28,2,6,3,29,1,7,1,28,1,13,1,7,1,13,1,9,1,6,1,13,3,7,2,29,1,13,2,9,5,17,1,12,1,17,1,10,1,12,1,10,1,12,3,10,1,12,3,9,1,12,2,24,2,17,1,24,1,12,1,10,1,12,1,24,1,10,1,9,1,12,1,8,1,24,2,8,1,24,1,12,1,8,1,12,1,9,1,24,1,17,2,12,1,9,1,12,2,8,1,10,1,9,2,10,1,24,1,10,1,12,1,8,1,17,1,10,1,24,1,12,1,24,4,13,1,24,1,8,1,13,1,24,1,7,1,9,1,24,5,8,2,13,1,8,1,24,1,8,2,24,1,12,3,11,1,9,1,12,2,24,1,17,2,9,1,10,1,12,1,24,1,10,1,12,1,9,1,12,1,9,1,8,1,24,2,8,1,10,1,24,2,8,1,10,1,24,1,9,1,8,2,24,1,10,1,24,1,10,1,9,1,8,1,11,1,10,2,11,1,17,17,12,1,24,1,13,2,24,2,25,1,6,2,29,1,6,2,29,2,6,1,30,3,28,2,29,1,28,1,30,1,28,4,30,1,28,3,30,1,28,33,29,1,30,1,29,2,28,1,27,2,25,3,8,1,25,1,24,2,10,1,12,1,24,1,12,1,24,1,10,1,12,1,17,9,12,1,17,2,11,1,17,17,12,1,17,8,12,1,17,3,12,1,17,2,10,1,17,1,11,1,17,2,10,1,17,1,12,1,9,1,17,1,9,3,24,1,13,1,10,1,13,6,8,3,13,1,9,2,11,1,12,1,10,1,9,1,8,1,9,2,8,1,12,1,10,1,7,1,13,2,30,1,13,2,30,1,6,2,33,1,5,52,28,14,6,1,17,3,9,1,13,1,6,1,13,1,6,2,30,1,29,1,28,2,30,1,29,1,13,1,15,1,9,1,29,1,28,6,14,1,11,1,9,1,28,31,30,1,14,2,9,1,}, {29,1,28,2,29,1,28,11,29,1,28,1,30,1,7,1,28,2,29,1,28,9,30,1,28,2,30,1,6,2,28,1,29,2,6,1,24,1,10,1,9,1,17,3,11,1,8,1,6,2,13,2,17,2,14,1,17,1,16,1,12,1,8,1,16,1,9,1,13,2,6,1,13,1,28,1,8,1,9,1,24,1,6,3,29,2,6,1,10,1,9,2,13,2,8,2,13,1,12,1,17,5,12,1,9,1,16,1,17,1,24,1,6,1,28,3,30,1,28,4,30,1,28,2,30,1,28,10,30,1,28,2,6,1,28,1,6,1,13,1,8,1,10,1,12,1,9,1,6,1,30,2,28,2,30,1,6,1,10,1,17,2,9,1,24,2,8,2,7,1,6,1,13,1,6,1,7,1,6,1,13,2,10,1,9,1,15,1,24,1,30,1,28,10,6,1,28,1,29,1,13,1,6,1,9,4,8,1,9,1,13,1,9,1,13,1,9,3,13,7,6,1,13,8,9,4,8,2,9,1,8,1,9,1,8,1,16,2,9,1,13,1,8,1,9,1,13,1,16,1,13,1,9,4,11,1,9,3,8,1,13,1,11,1,9,3,11,1,9,1,16,1,11,1,16,4,9,1,16,3,9,1,16,1,9,1,16,1,11,2,16,4,11,1,16,4,17,1,16,2,11,1,9,2,11,2,9,1,11,1,9,3,16,1,9,2,16,1,11,1,9,2,8,2,13,1,9,2,13,1,28,24,30,1,29,1,6,2,7,1,13,1,6,1,7,2,6,1,29,1,8,1,6,1,13,3,8,1,24,2,9,1,12,1,8,4,24,1,13,1,24,1,9,1,11,1,17,1,12,1,10,1,13,1,30,1,28,4,6,1,29,1,6,1,29,1,28,1,30,1,28,2,30,1,28,20,30,2,28,18,29,1,28,1,25,2,8,2,24,3,12,3,17,1,12,2,17,45,11,1,8,1,13,6,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,11,1,9,1,30,2,28,49,30,1,28,1,30,1,28,8,29,1,28,1,29,2,28,2,30,1,6,1,8,1,6,2,8,1,29,1,28,6,30,1,28,97,30,1,28,2,6,1,28,1,29,1,28,13,30,1,28,1,29,1,28,1,6,1,29,3,30,1,6,1,29,1,6,1,7,1,29,1,13,1,7,1,30,1,6,2,13,1,6,1,13,3,6,1,13,1,24,1,6,1,24,1,8,1,13,1,28,30,30,1,28,6,30,1,28,12,30,1,28,2,30,1,28,2,30,1,29,2,30,1,6,1,29,3,7,1,6,2,13,1,6,1,29,1,8,1,13,1,8,1,7,1,8,3,24,4,10,1,9,3,10,1,17,1,10,2,9,1,11,3,9,1,11,1,16,2,5,239,30,1,13,1,28,4,30,1,24,1,12,1,13,1,17,1,7,1,28,4,13,1,9,1,8,1,17,1,5,9,28,1,7,1,28,8,9,1,17,1,5,131,28,1,6,1,13,2,6,2,7,1,13,2,6,1,13,1,9,1,7,1,13,4,8,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,17,1,24,1,17,1,11,1,7,1,24,1,13,1,12,2,11,1,8,1,9,2,11,3,17,3,12,1,17,25,12,1,17,5,16,1,17,1,16,2,11,2,16,2,17,1,16,3,11,1,16,2,17,1,16,1,17,2,11,1,17,1,16,1,11,1,16,1,17,1,16,2,17,2,16,4,17,2,12,2,24,1,13,2,24,1,13,2,7,3,13,2,9,1,12,1,10,1,11,1,10,2,11,2,10,1,9,3,8,1,10,1,24,1,8,1,10,1,24,2,10,1,24,2,8,1,24,2,8,1,10,2,24,1,12,1,9,3,10,1,8,1,11,1,9,3,10,1,9,1,12,1,24,1,9,1,24,1,8,1,9,2,10,2,9,1,12,1,11,1,17,1,11,1,16,2,11,1,17,2,11,2,10,2,9,1,8,1,9,2,10,1,9,1,11,1,9,2,10,2,11,1,16,2,11,2,10,1,11,1,16,2,17,8,11,1,16,1,11,1,16,1,11,4,16,4,17,4,16,1,17,5,16,2,17,1,16,1,11,4,16,2,11,1,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,4,17,1,16,6,17,1,16,1,17,2,16,1,17,1,16,3,17,1,16,2,17,1,16,3,17,1,16,3,17,4,13,1,28,42,30,1,28,3,29,3,7,1,30,1,6,1,8,3,13,1,24,1,8,1,24,1,12,1,10,1,9,2,17,1,12,1,17,2,13,1,28,1,6,2,30,1,6,1,29,1,6,1,28,2,30,1,28,1,6,1,28,2,30,1,28,9,30,1,28,58,30,1,28,14,30,1,6,1,7,1,6,1,28,1,30,1,28,1,30,2,28,1,6,2,13,1,6,1,30,1,29,1,6,1,7,1,13,1,30,1,6,1,7,2,30,1,29,1,6,1,7,1,30,1,6,2,13,3,9,1,8,1,10,1,8,1,13,1,8,1,13,2,8,1,13,2,8,1,10,1,13,1,7,1,30,1,28,13,30,1,28,24,30,1,28,1,30,1,6,1,28,2,30,2,28,2,29,1,30,4,28,1,6,1,28,1,29,1,30,2,7,1,13,1,28,1,6,2,13,8,8,2,13,1,9,1,13,1,9,1,8,1,10,3,9,1,11,1,9,8,13,1,9,2,8,1,13,1,6,1,13,1,7,1,13,1,30,1,6,1,7,1,6,1,13,1,30,1,28,35,30,1,28,3,30,1,28,16,30,1,28,21,6,2,13,1,30,1,29,1,13,1,30,1,7,2,28,1,6,3,30,2,28,1,29,2,30,2,6,1,30,1,29,1,30,2,28,1,30,3,7,2,13,1,6,2,7,1,9,1,13,2,7,1,13,1,7,1,13,2,8,1,9,3,8,1,13,1,17,3,11,1,17,2,12,1,17,4,12,2,17,1,10,1,17,1,8,1,9,1,17,1,10,1,17,1,12,1,9,1,12,1,17,1,12,1,17,1,9,1,12,1,24,1,17,1,10,1,12,3,17,2,12,4,17,1,8,1,24,6,9,1,12,1,10,1,24,1,8,1,9,1,24,3,9,1,24,1,7,1,8,1,7,1,8,3,10,1,8,1,9,1,13,2,10,1,8,1,10,2,24,1,8,2,12,1,24,1,10,1,12,2,17,1,8,1,11,1,17,1,8,1,17,1,9,2,12,1,17,1,12,1,8,1,10,1,9,1,10,2,24,1,12,1,24,3,8,1,13,1,10,1,24,1,8,1,17,1,10,1,9,2,12,1,8,1,17,1,9,1,24,1,10,1,8,2,9,2,12,1,17,15,12,1,24,2,8,3,25,1,7,1,29,1,6,3,29,1,6,1,29,1,28,3,30,2,28,2,29,2,28,2,30,2,28,3,30,1,28,33,30,1,28,1,27,1,28,1,29,1,27,1,25,1,6,1,25,1,24,1,25,1,24,6,8,2,24,1,8,1,17,7,11,1,17,12,11,1,17,2,11,1,17,1,12,1,17,3,10,1,17,3,12,1,17,2,12,1,17,1,12,1,17,5,11,1,17,2,11,1,17,1,11,2,9,1,17,2,9,1,10,1,9,1,13,3,8,1,13,1,8,1,7,1,8,2,13,1,29,1,13,1,9,1,8,1,11,1,9,1,12,1,17,1,10,2,12,1,9,3,13,1,8,2,13,1,7,1,28,1,30,1,28,1,13,2,5,55,28,14,29,1,17,2,11,1,10,1,6,2,13,1,7,1,28,5,29,1,7,1,6,1,9,1,11,1,6,1,28,6,16,1,9,1,6,1,28,31,30,1,14,1,17,2,}, {6,1,28,1,30,2,28,10,30,2,28,2,30,1,29,1,28,1,6,1,28,1,30,1,28,3,30,1,28,7,6,3,29,1,28,1,6,1,8,1,9,1,24,1,11,1,17,3,24,1,6,1,13,4,17,3,10,1,11,1,8,1,9,1,10,1,8,1,13,1,6,1,7,1,28,1,24,1,15,1,24,1,8,1,6,3,7,2,10,1,12,1,9,1,8,2,24,1,8,2,9,1,12,1,17,3,16,1,11,1,12,2,9,1,13,1,6,1,28,5,30,1,28,11,30,1,28,2,30,2,28,2,30,1,6,1,29,1,7,1,13,1,24,1,9,1,17,1,9,1,6,1,28,1,29,1,30,2,28,1,7,1,24,1,10,1,17,1,12,1,8,2,9,1,6,1,7,2,8,1,6,1,7,1,6,1,29,1,13,1,24,1,15,1,9,1,24,1,28,11,30,1,28,2,9,3,13,1,9,1,13,1,8,1,13,3,9,1,13,1,8,1,13,2,6,2,13,2,9,1,13,2,8,1,13,1,9,5,11,1,8,1,9,1,10,1,6,1,9,1,13,4,8,1,9,1,8,1,9,1,13,1,9,2,13,1,9,2,11,3,9,1,13,1,11,1,9,1,13,1,9,1,13,1,11,1,13,1,9,3,11,1,9,2,16,3,11,4,9,1,11,1,16,4,11,1,9,1,16,7,17,1,16,3,11,1,9,1,11,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,11,2,9,1,11,1,13,1,9,4,8,1,7,1,30,1,28,1,6,1,28,22,30,1,29,1,7,1,6,1,7,1,13,2,7,1,13,2,7,1,13,1,8,1,6,1,8,1,13,1,8,1,13,1,8,2,24,1,12,1,13,1,9,1,13,1,8,1,9,2,11,1,12,1,9,1,12,1,10,1,8,1,7,1,28,5,6,1,30,1,6,1,29,1,28,1,29,1,28,2,30,1,28,40,29,1,6,1,8,1,26,1,24,2,10,1,12,4,10,1,17,4,12,1,17,46,9,4,8,1,9,1,13,2,9,3,10,1,17,1,13,2,29,1,28,52,30,2,28,5,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,2,13,1,24,1,13,1,8,1,13,1,30,1,28,4,30,1,28,5,30,1,28,47,30,1,28,50,30,1,28,13,30,1,29,1,30,2,29,1,28,1,7,1,30,1,29,1,7,1,28,1,29,1,8,1,28,1,6,1,29,1,13,2,6,1,7,1,13,1,8,1,7,1,13,5,8,1,24,1,13,1,30,1,28,31,30,1,28,20,29,1,28,2,29,1,30,1,28,1,30,1,6,1,29,1,6,3,13,1,7,1,6,1,13,1,7,1,6,1,8,1,13,1,8,2,24,1,8,1,9,2,24,1,8,1,10,1,12,1,10,1,9,1,17,1,12,1,10,1,12,1,9,1,11,1,10,1,16,1,17,1,16,1,5,242,16,1,28,5,8,1,24,1,8,1,17,1,13,1,28,4,8,3,17,1,5,9,28,9,13,1,17,1,5,132,28,1,6,1,7,1,13,1,6,2,13,1,7,1,13,2,6,1,9,1,6,1,13,1,8,1,13,4,9,1,8,1,10,1,11,1,24,1,10,1,17,1,24,1,17,1,24,1,10,1,9,2,12,1,10,1,17,1,9,1,10,1,8,1,10,1,12,1,17,3,11,1,17,20,12,1,17,12,11,1,9,1,17,1,11,1,16,4,17,1,16,1,11,1,17,1,16,2,17,1,11,1,17,2,16,1,17,2,16,2,17,1,16,1,17,2,16,1,17,1,16,2,17,3,11,2,9,1,8,2,7,1,8,1,13,1,7,1,6,1,13,2,9,2,12,1,10,1,9,1,12,2,10,2,11,1,9,1,24,1,9,3,24,1,13,1,8,1,24,1,7,1,24,1,9,1,8,2,7,1,24,1,8,2,24,1,13,1,24,1,10,1,8,1,12,2,9,1,24,1,10,1,24,1,12,1,9,1,24,1,9,1,10,1,9,1,8,1,9,3,11,1,9,1,11,1,10,1,11,1,17,1,11,2,17,1,11,1,17,1,11,1,9,1,11,1,16,1,11,1,10,1,8,1,9,3,10,1,9,2,11,1,9,2,11,1,12,1,10,2,9,1,10,1,16,2,11,1,16,1,17,3,16,1,17,1,16,2,11,1,16,1,10,1,11,3,9,1,11,1,16,2,17,2,16,1,17,7,16,1,17,1,16,6,11,3,16,1,10,1,11,2,17,2,16,2,17,1,11,1,17,1,16,1,17,1,16,4,17,1,16,1,17,1,16,3,17,1,16,1,17,1,16,2,17,1,16,2,17,2,16,1,17,3,16,4,17,1,16,1,17,1,16,1,17,1,9,1,28,44,30,2,6,1,30,2,29,1,30,1,7,1,6,1,8,1,7,1,13,1,8,1,24,4,9,1,10,1,12,1,17,1,9,1,11,1,17,1,28,2,6,1,7,2,6,1,28,1,30,1,6,2,28,2,6,1,29,1,28,1,29,1,30,1,28,7,30,1,28,3,30,1,28,43,30,1,28,19,30,1,28,3,30,3,6,1,7,1,29,1,30,2,28,2,6,1,30,1,6,3,30,2,6,1,13,1,6,1,30,1,7,1,6,1,7,1,30,1,28,1,29,1,6,2,7,1,6,1,13,2,9,2,10,1,8,2,13,1,9,2,13,4,7,1,30,1,6,1,28,63,30,1,28,1,30,1,28,3,30,1,7,2,6,1,7,1,6,1,8,1,13,1,8,1,13,1,8,4,9,2,11,2,9,1,13,1,9,1,8,2,9,1,8,1,10,1,9,2,8,2,9,1,13,1,6,1,8,1,6,1,13,1,7,1,6,4,29,1,6,1,28,35,6,1,28,2,30,4,28,4,30,2,28,16,30,1,28,13,6,1,13,1,6,2,7,1,13,1,6,1,7,1,6,1,29,1,30,2,6,1,29,1,30,2,6,1,30,2,28,6,30,1,6,1,28,1,6,2,7,1,8,1,7,1,13,1,7,2,13,2,7,2,29,1,13,1,8,1,10,1,9,1,10,1,11,1,9,1,10,1,17,6,12,1,17,5,11,1,17,1,12,1,17,6,12,2,17,1,12,3,24,2,17,1,12,3,17,1,12,2,10,1,24,3,10,1,24,2,9,1,24,1,10,2,8,1,24,1,8,1,12,1,10,1,24,3,17,1,24,2,8,2,24,2,10,1,24,1,8,1,7,1,12,1,10,1,24,1,10,1,8,2,9,1,24,1,10,1,9,1,10,1,12,1,10,3,8,1,10,1,17,1,8,1,11,1,12,1,10,1,12,1,24,1,12,1,24,2,9,1,17,1,24,1,10,1,12,1,24,1,12,1,10,1,8,1,24,1,9,1,10,1,24,4,9,1,10,1,24,1,9,1,10,3,9,1,12,1,10,2,12,1,17,11,12,1,17,2,12,2,10,1,24,2,25,3,6,1,29,1,6,1,8,1,29,1,26,1,30,1,29,1,30,1,29,2,28,1,29,1,28,2,29,1,28,2,30,1,28,2,30,1,28,38,30,1,28,1,29,1,30,1,26,1,29,1,30,1,25,1,8,2,24,1,7,1,24,1,8,1,24,4,8,1,24,1,8,1,17,5,12,1,17,9,12,4,17,2,11,1,17,4,11,1,17,2,12,2,17,2,11,1,17,6,12,1,17,1,12,1,17,3,12,1,17,1,11,1,17,1,12,1,11,1,12,2,8,1,24,1,8,1,10,1,7,1,13,1,10,1,13,1,8,1,6,1,13,1,6,2,24,1,8,1,9,2,11,3,12,1,13,1,8,1,7,1,8,2,13,2,30,1,13,1,30,1,28,1,13,1,5,58,28,14,6,1,17,2,11,1,10,1,13,1,6,1,7,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,29,1,8,1,9,1,10,1,13,1,28,6,9,1,16,1,6,1,28,1,30,1,28,29,30,1,17,2,9,1,}, {28,1,29,1,30,1,29,1,28,8,30,1,28,6,30,1,28,3,30,1,28,3,30,1,28,7,30,1,28,1,29,1,28,1,13,1,7,1,8,1,9,1,12,1,10,1,16,1,17,2,10,1,6,1,13,2,7,1,13,1,16,1,17,3,9,5,13,3,29,1,24,1,12,1,9,1,6,2,29,1,7,1,8,1,29,1,17,2,10,1,8,2,13,1,6,1,30,1,9,1,12,1,17,3,12,1,13,1,8,1,24,1,9,1,12,1,13,1,30,1,28,11,30,1,28,2,30,1,28,5,30,1,28,1,6,1,28,1,29,3,8,1,13,1,17,2,10,1,8,1,6,3,29,1,6,1,28,1,12,1,17,3,16,1,7,1,8,1,13,1,6,1,13,1,6,3,13,1,6,2,24,1,15,1,14,1,13,1,30,2,28,9,30,1,28,2,6,1,13,1,8,2,9,2,8,1,13,1,9,1,13,2,6,1,13,2,9,1,13,2,8,1,13,8,6,1,13,1,8,1,9,1,11,1,9,5,8,1,13,1,9,1,10,1,9,2,11,1,13,2,9,2,11,1,9,1,16,1,9,1,11,1,8,1,13,1,9,8,13,1,9,3,11,2,9,2,16,1,9,1,13,1,9,1,16,2,11,1,16,1,11,1,16,5,17,1,16,2,11,1,16,5,11,1,9,1,8,1,16,1,9,2,16,2,9,1,10,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,8,1,6,1,30,3,28,24,30,1,29,1,6,1,13,1,29,1,6,1,8,2,6,1,8,1,6,1,7,1,8,1,13,1,8,2,24,1,8,3,10,1,11,1,24,2,8,2,9,1,24,1,16,1,9,1,17,1,12,1,9,1,8,1,29,1,30,3,28,1,7,1,30,1,13,1,28,1,30,1,28,26,30,1,28,1,30,1,28,15,30,3,26,1,8,1,10,1,12,1,9,1,10,1,17,1,12,1,17,4,12,2,17,3,9,1,17,2,12,1,17,1,12,1,17,42,16,1,17,2,10,1,17,4,14,1,6,1,13,1,28,47,29,1,28,4,30,2,28,2,30,1,28,3,29,1,28,2,30,1,28,1,29,1,30,1,7,1,13,1,24,1,6,1,24,1,7,1,29,1,30,1,28,56,30,1,28,4,30,1,28,46,30,1,28,13,6,1,28,2,29,1,28,1,6,1,29,1,30,1,28,1,29,1,28,1,30,1,6,2,30,1,6,1,29,1,7,1,13,3,7,1,8,2,24,2,8,1,13,1,17,1,8,1,9,1,13,1,28,37,30,1,28,9,30,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,7,2,30,1,6,2,8,1,6,1,29,1,7,2,29,1,13,1,7,1,6,1,8,1,7,2,9,1,8,1,9,1,8,1,24,1,9,2,12,1,9,2,8,1,17,1,10,1,17,1,9,1,12,2,11,1,12,1,11,2,9,1,5,243,13,1,30,1,28,3,30,1,13,1,9,2,17,1,6,1,28,4,6,1,9,1,24,1,17,1,6,1,5,8,6,1,28,1,30,1,28,5,30,1,9,1,17,1,33,1,5,131,13,1,6,1,13,1,7,2,13,1,7,1,13,4,8,1,7,1,13,1,7,1,6,3,13,2,10,1,8,1,13,1,10,1,8,1,17,1,8,1,10,1,12,1,10,1,12,1,24,1,9,1,10,1,11,1,9,1,13,1,11,2,12,1,10,1,12,2,17,31,11,1,12,1,17,1,16,1,11,1,17,1,11,1,16,2,11,1,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,5,16,3,17,2,16,1,11,1,16,1,11,1,16,1,17,1,16,2,9,1,10,1,8,1,13,1,24,1,8,1,13,1,6,3,8,1,13,1,8,1,9,1,10,3,11,2,9,1,11,1,8,1,9,2,10,1,11,1,17,1,9,1,24,1,13,1,8,2,24,1,8,1,24,2,13,1,24,1,8,1,9,1,24,1,13,1,24,2,8,1,10,2,9,3,12,2,24,1,9,2,10,1,24,1,9,2,10,3,17,1,10,1,12,1,11,1,10,1,17,1,11,1,9,1,17,1,11,1,10,1,9,2,11,1,13,2,6,1,8,1,13,1,9,1,12,1,8,1,9,1,13,1,9,2,11,1,16,1,9,2,11,3,17,1,16,4,17,1,16,1,17,2,10,1,11,4,10,1,11,2,16,1,11,2,17,10,16,1,17,2,16,1,17,1,16,1,11,3,16,2,9,1,11,3,16,2,17,1,16,5,17,1,16,3,17,1,16,1,17,1,11,1,16,5,17,4,16,2,17,2,16,1,17,1,16,5,17,1,16,5,9,1,6,1,28,45,30,1,28,1,29,1,30,1,29,1,6,4,7,1,8,1,24,2,8,1,24,1,12,1,10,1,9,1,12,1,17,1,10,1,17,2,28,2,6,1,30,1,6,1,13,1,29,1,30,1,28,1,30,2,29,2,28,1,6,1,28,55,30,2,28,1,30,1,28,5,30,1,28,11,6,1,28,2,30,1,29,1,30,2,6,2,7,1,28,1,29,1,6,1,30,2,6,1,13,1,30,1,6,1,13,1,6,4,29,1,6,1,13,1,6,1,7,1,8,1,6,2,13,3,10,1,13,1,9,1,8,1,9,1,13,1,8,2,13,1,9,1,13,1,30,1,6,1,30,1,28,11,30,1,28,64,30,1,6,1,28,1,6,3,13,2,8,2,9,1,8,1,13,1,10,1,9,2,8,1,9,1,10,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,10,1,13,1,8,1,9,2,13,4,8,1,13,1,7,1,6,1,7,2,30,4,28,1,29,1,28,1,6,1,28,2,30,2,28,23,30,5,6,1,28,5,30,2,28,16,30,1,28,14,30,1,13,1,30,1,7,1,30,1,7,1,6,5,29,1,30,1,6,1,28,1,30,3,6,1,28,3,29,1,28,1,29,1,30,1,6,1,30,1,6,1,7,1,9,1,8,1,13,5,6,1,13,1,6,1,9,1,13,3,9,1,13,1,17,18,12,1,17,4,10,1,12,2,17,1,12,1,24,1,9,1,10,1,24,1,12,3,8,1,24,3,10,1,24,1,9,1,12,1,24,2,10,1,24,1,12,2,24,1,17,1,24,1,12,2,8,2,12,2,24,2,10,1,8,1,24,3,13,1,24,1,8,1,7,1,10,1,24,2,12,1,8,1,17,1,12,1,9,1,17,1,9,1,12,2,10,1,24,1,17,1,12,1,10,1,17,1,8,1,12,1,24,1,10,1,24,1,10,1,9,1,10,1,13,2,12,1,24,1,10,1,8,1,24,1,12,1,8,2,12,1,24,1,10,2,9,2,12,1,10,1,24,1,12,2,9,1,17,1,9,1,10,1,12,2,17,13,12,1,17,1,24,1,8,1,24,1,6,1,8,1,7,1,25,1,6,1,25,1,6,1,27,1,29,2,27,1,30,1,29,1,30,1,28,5,30,1,28,1,30,2,28,41,30,1,28,1,27,1,29,1,26,1,25,2,8,1,25,1,8,2,24,3,25,1,24,1,8,1,13,1,10,1,24,2,17,4,12,1,17,12,12,1,17,3,12,1,17,1,10,1,17,1,11,2,17,1,12,1,11,1,17,2,12,1,17,2,11,1,10,1,17,1,10,1,11,1,12,2,17,2,12,1,24,1,12,1,17,1,12,1,11,1,12,1,10,1,17,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,7,1,13,1,6,1,24,1,8,2,9,1,10,1,11,1,9,1,11,2,17,1,12,1,13,1,9,3,13,2,7,1,6,1,30,1,28,1,13,1,5,59,28,14,13,1,16,1,17,1,12,1,24,2,8,1,6,2,28,1,29,1,28,4,6,1,24,1,9,1,10,1,8,1,28,5,29,1,10,1,15,1,29,1,28,31,29,1,17,1,10,1,24,1,}, {30,1,6,2,28,1,30,1,28,9,30,1,28,5,6,1,28,1,30,1,28,2,29,1,28,10,30,1,28,3,13,1,7,1,10,1,8,1,9,1,17,3,24,1,29,1,6,1,13,1,6,1,24,1,16,1,17,3,9,2,11,1,9,2,7,1,13,1,29,1,6,1,8,1,14,1,8,2,30,1,7,1,6,1,13,1,7,1,24,1,17,1,8,2,13,1,8,1,13,1,24,1,9,2,17,2,12,1,16,1,8,2,9,1,10,1,13,1,6,1,28,7,6,1,28,3,30,1,28,1,30,1,29,1,28,1,30,1,28,1,29,1,28,4,6,1,30,3,6,1,9,1,6,1,9,1,17,1,9,1,13,1,30,1,6,1,30,3,29,1,13,1,17,3,12,1,8,2,24,1,13,1,6,3,29,1,30,1,7,2,9,1,15,2,13,1,6,1,28,2,30,1,28,2,6,1,28,7,13,1,9,2,13,1,9,1,13,2,9,1,13,1,8,1,29,1,13,2,8,1,13,3,9,1,13,1,6,1,9,2,6,2,9,4,13,1,6,1,13,1,9,1,8,1,13,1,8,2,9,2,16,1,13,1,16,1,9,4,13,2,11,1,13,1,11,1,9,5,13,1,9,1,13,1,9,1,13,2,9,1,8,1,9,3,11,1,9,1,11,1,9,1,10,1,9,1,11,1,16,1,11,1,10,1,11,1,16,2,11,1,16,4,11,1,16,3,11,1,16,1,17,1,9,1,10,2,11,3,9,1,10,1,9,1,17,1,9,3,11,1,9,1,8,1,13,1,29,3,30,1,28,25,6,1,30,2,6,1,13,1,30,1,13,2,6,1,13,1,7,1,13,1,8,1,24,2,8,1,24,1,8,2,24,1,10,1,24,1,12,2,9,1,24,1,9,1,11,2,10,1,17,2,12,2,9,1,13,1,30,1,28,1,6,1,29,1,28,1,29,1,7,1,6,2,30,1,6,1,28,7,30,1,28,36,26,1,30,1,8,1,24,1,8,1,12,2,10,1,17,3,10,1,12,1,17,1,12,1,17,6,12,1,17,2,12,1,17,19,12,1,17,5,9,1,17,23,14,1,10,1,6,1,29,1,28,45,6,1,28,3,30,1,28,2,29,1,28,8,29,3,30,1,29,1,28,1,7,2,24,1,29,1,11,1,8,1,28,112,30,1,29,2,28,7,30,1,28,1,30,1,28,1,29,3,28,1,30,2,28,2,6,1,29,1,30,1,7,1,29,1,6,1,29,1,30,1,29,2,8,1,6,1,8,1,7,1,9,1,7,1,13,1,24,1,13,1,10,1,9,1,6,1,30,1,28,3,29,1,28,26,30,1,28,13,30,1,28,2,6,1,28,2,29,1,30,1,13,1,29,1,25,1,6,4,8,1,7,1,29,1,8,1,30,1,6,1,8,1,7,1,8,4,24,1,13,1,24,1,9,1,10,1,12,1,9,3,12,1,9,2,10,1,9,1,11,1,17,1,12,1,11,2,16,1,9,1,5,244,28,1,6,1,28,3,30,1,13,1,9,2,17,1,29,1,28,4,29,1,24,1,12,1,17,1,5,9,6,1,28,2,9,1,28,4,13,1,11,1,28,1,5,132,13,1,7,1,13,1,6,1,13,1,6,1,13,2,7,2,13,1,9,1,13,2,30,1,13,1,6,1,13,1,8,1,6,1,24,1,8,1,24,1,9,1,8,1,12,1,11,1,12,1,11,1,13,1,9,1,17,1,9,2,10,2,9,3,12,2,17,4,12,1,17,22,12,1,17,5,11,1,17,2,11,1,16,1,10,1,16,1,17,1,11,1,16,2,17,1,16,1,11,1,16,1,11,1,17,1,16,1,17,5,16,5,17,1,16,5,17,3,10,1,9,1,8,3,13,1,8,2,7,1,8,1,7,1,8,1,24,1,9,1,8,1,12,2,11,1,10,2,11,1,24,2,9,2,12,1,9,1,12,2,8,1,24,1,8,2,13,1,8,1,7,1,8,1,24,1,8,3,24,1,10,1,8,1,9,2,12,1,24,1,8,1,24,1,8,1,10,1,9,1,10,1,8,1,10,1,9,1,12,1,9,1,11,1,10,2,17,1,11,1,12,1,17,5,11,1,17,1,9,1,11,2,9,1,13,1,6,1,13,1,9,1,10,1,8,2,9,3,11,1,9,1,11,5,9,1,11,1,17,1,16,2,17,5,11,2,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,10,1,11,1,17,2,16,1,17,12,10,1,11,1,9,1,16,2,11,1,10,1,11,1,9,1,11,3,17,1,16,2,17,1,16,2,17,1,16,12,17,7,16,5,17,1,16,3,11,1,16,3,17,1,11,1,6,1,28,46,30,2,29,1,30,3,7,1,6,1,13,1,6,1,13,2,8,2,9,1,10,1,9,1,10,1,9,2,11,1,17,2,28,1,30,1,13,1,6,2,30,1,6,1,30,2,28,1,29,1,30,1,28,1,6,1,28,52,29,1,30,1,28,2,30,2,28,19,29,1,28,1,30,1,28,1,29,1,6,2,7,1,30,1,7,2,30,1,6,1,13,1,6,1,29,1,7,1,6,1,30,1,13,1,6,2,7,1,6,1,7,1,6,1,13,1,8,1,7,1,9,1,13,2,9,1,13,1,9,2,8,1,9,1,10,1,13,1,8,1,13,2,7,1,30,1,28,87,30,1,6,1,13,6,8,1,7,1,13,1,9,1,8,1,13,1,8,1,9,1,13,2,10,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,13,2,8,1,13,1,6,1,13,1,6,2,30,1,7,1,13,1,6,1,30,1,6,1,29,1,28,1,30,1,28,27,29,1,30,1,29,1,30,1,28,3,30,2,28,14,30,1,28,3,30,1,28,13,6,1,13,1,6,1,7,1,13,1,6,1,30,1,6,2,29,1,7,1,29,1,7,1,28,1,30,4,28,3,30,3,7,1,6,1,13,1,7,1,13,1,7,1,6,1,13,1,8,1,13,2,7,1,13,1,6,1,13,3,7,2,9,1,8,1,17,14,12,2,17,2,12,1,17,3,12,1,17,1,12,3,17,2,10,1,24,1,17,1,12,2,24,2,12,1,8,1,24,2,10,1,8,1,24,3,12,1,10,1,24,2,17,1,12,1,8,2,24,1,8,1,9,1,8,1,24,3,8,2,13,2,10,1,13,1,8,1,24,2,8,2,10,1,12,1,9,1,17,1,10,1,24,1,17,1,24,1,12,4,24,2,12,1,8,1,24,2,9,1,24,1,8,1,24,1,10,1,12,1,24,1,17,1,12,1,24,3,12,2,9,1,10,1,9,1,8,1,9,1,12,3,24,1,11,1,12,1,9,1,17,1,24,1,17,1,10,1,17,15,9,1,12,1,24,2,7,1,25,1,7,1,8,1,25,1,6,2,30,1,29,1,25,1,30,1,27,1,29,1,28,3,29,1,30,1,28,3,29,1,28,1,30,1,28,4,30,1,28,35,30,4,25,1,29,1,6,1,29,1,25,1,6,1,24,1,8,2,24,1,25,2,24,1,8,1,7,1,6,1,10,1,8,1,10,1,17,20,10,1,17,1,12,1,11,1,9,1,11,1,12,1,10,1,12,1,11,1,10,1,17,1,11,1,9,1,17,2,10,1,11,3,9,1,12,1,9,1,11,1,12,1,10,1,12,1,9,1,10,1,11,1,10,1,9,1,8,2,13,2,8,2,13,1,8,1,13,1,8,1,9,1,8,2,12,3,11,3,8,1,10,1,13,1,9,1,13,2,7,1,13,2,30,1,6,1,5,61,28,8,30,1,28,4,30,1,9,1,17,2,11,1,9,1,8,2,6,3,28,3,30,1,28,1,6,1,8,1,10,1,9,1,13,1,28,5,6,1,17,1,9,1,28,32,6,1,10,1,12,1,13,1,}, {6,1,28,1,29,1,28,1,30,1,28,2,30,1,29,1,28,7,6,1,28,6,30,1,28,12,30,2,28,2,6,1,9,1,8,2,10,1,17,3,9,1,6,1,13,1,30,1,13,2,12,1,17,2,9,1,11,2,17,1,9,2,11,1,13,1,6,2,13,1,14,1,12,1,13,1,6,1,7,1,6,1,7,1,13,1,8,1,10,1,13,1,17,1,6,1,13,1,6,1,13,1,9,1,24,1,9,1,17,1,12,1,17,1,6,1,13,1,6,1,13,1,9,1,13,1,30,1,28,3,30,2,28,10,30,1,28,4,30,1,28,3,6,2,13,1,8,1,12,2,17,1,12,1,6,1,30,1,6,1,28,1,6,1,30,1,6,1,9,1,17,2,9,1,11,1,24,2,7,1,8,1,29,2,7,1,6,1,29,1,13,1,6,1,10,2,14,1,13,1,28,6,30,1,28,7,13,1,9,2,13,1,8,1,6,1,9,1,6,1,13,1,8,1,13,2,8,1,6,1,13,4,8,1,9,1,6,2,13,1,9,2,13,3,8,2,11,1,9,1,13,1,9,1,13,1,8,1,11,1,8,1,9,1,13,1,9,2,13,1,9,2,13,1,9,3,13,2,9,2,8,1,13,1,8,1,9,2,13,1,9,2,8,2,11,1,9,1,16,1,9,1,11,1,10,1,16,1,9,1,16,1,11,3,16,1,11,2,16,4,11,2,16,3,17,1,16,2,10,1,11,1,9,2,11,1,9,2,16,1,11,1,9,1,8,1,6,1,13,1,6,2,29,1,28,1,30,1,29,1,28,27,30,2,6,1,28,1,13,1,6,1,13,1,6,1,8,2,7,1,8,1,7,1,8,2,13,1,8,1,24,1,8,1,9,2,10,1,17,5,10,1,11,1,9,1,12,1,17,2,12,1,24,1,13,1,28,1,7,1,28,1,30,1,13,1,7,1,6,4,30,1,13,1,30,1,28,23,29,1,28,3,29,1,28,1,29,1,28,10,30,1,28,1,29,1,6,1,29,1,26,1,8,1,24,1,12,1,24,1,12,1,17,1,12,1,17,1,12,1,17,6,10,1,12,1,17,7,12,1,17,35,12,1,17,11,24,1,6,1,28,43,30,1,28,17,29,1,28,1,29,1,30,1,7,1,30,1,28,1,12,1,6,1,8,1,9,1,7,1,6,1,28,60,6,1,28,51,29,2,30,1,28,5,30,1,28,1,30,1,28,1,29,1,30,2,28,1,30,1,28,3,6,1,28,2,6,1,30,2,29,1,30,1,29,1,6,1,13,1,7,1,6,1,13,2,8,2,24,1,13,1,8,1,13,2,7,1,13,1,28,1,30,1,28,2,30,1,28,26,30,1,28,2,30,1,28,2,29,1,28,1,30,1,28,5,30,1,28,1,30,1,6,1,30,2,29,2,13,1,6,2,7,1,13,1,29,1,7,1,6,2,13,1,8,2,13,1,8,1,13,1,6,1,13,1,9,1,8,3,9,1,24,1,8,1,9,4,10,1,11,1,12,1,11,1,17,1,16,2,9,1,16,1,11,1,28,1,5,245,28,1,30,1,28,4,8,1,9,2,17,1,28,5,8,1,9,1,16,1,6,1,5,10,6,1,28,2,30,1,6,2,30,2,28,1,5,133,13,1,7,1,13,1,7,1,13,1,6,1,13,6,30,1,7,2,13,1,29,1,6,1,13,2,10,1,9,1,10,1,24,2,17,1,12,1,13,1,12,1,24,1,7,1,10,1,8,1,17,1,9,1,10,1,8,1,11,1,10,1,17,1,11,1,12,2,17,12,12,1,17,22,10,1,9,1,11,1,16,2,11,1,16,5,9,1,16,1,11,1,16,1,17,2,16,1,17,1,16,4,17,4,16,1,17,5,9,1,8,2,9,1,13,3,7,1,13,1,8,4,12,2,9,1,12,1,10,1,12,1,9,2,8,1,13,1,24,1,8,1,11,1,9,1,10,1,9,2,24,1,8,1,13,1,8,1,13,1,8,1,13,2,24,2,13,1,8,1,24,1,13,1,24,2,9,3,11,1,24,1,9,1,8,1,10,1,24,1,9,2,11,1,8,1,9,1,11,1,12,1,11,1,12,1,17,1,12,2,17,1,9,1,17,1,11,1,12,1,8,1,9,2,13,1,6,1,7,1,6,1,8,1,13,1,8,2,9,1,8,1,9,2,11,1,9,1,10,1,16,1,9,1,11,1,10,1,11,1,16,1,11,2,16,1,11,1,17,3,11,4,9,1,11,1,9,1,11,1,17,1,11,2,17,14,16,2,11,2,10,1,9,1,11,3,9,2,13,1,9,1,10,1,11,1,16,6,17,1,11,1,17,1,16,2,17,2,16,5,17,1,16,1,17,6,16,5,11,1,16,1,11,1,16,2,11,2,16,1,17,1,9,1,6,1,28,44,30,1,28,1,30,1,29,1,28,1,29,1,30,1,29,1,30,1,8,1,7,1,13,4,24,1,9,1,13,1,12,1,24,1,12,1,10,1,17,2,10,1,28,2,13,1,30,1,6,1,28,1,30,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,28,55,30,1,28,4,30,1,28,12,30,1,7,1,28,1,30,2,29,1,28,1,29,1,6,1,30,1,7,1,13,1,28,1,30,1,13,2,30,2,13,1,7,1,13,1,6,1,7,1,29,1,13,2,8,1,13,2,9,1,8,5,9,3,13,1,8,2,13,2,6,1,30,1,28,98,7,1,30,1,6,1,7,2,13,2,9,1,8,1,9,1,8,1,9,1,13,1,8,2,9,3,24,1,9,1,8,1,13,2,9,1,13,2,8,1,13,3,6,1,7,1,6,3,29,1,6,2,29,1,28,29,30,1,28,20,30,1,28,16,6,3,29,1,13,1,7,1,6,2,30,1,7,1,9,1,6,1,30,1,29,1,28,1,29,1,6,2,28,1,30,1,6,1,30,1,6,1,28,2,13,1,6,1,7,1,8,1,6,2,7,1,13,2,7,1,13,1,6,1,13,1,8,1,13,1,9,2,13,1,9,1,17,17,12,1,17,1,12,2,24,1,17,1,24,1,12,1,10,1,12,1,24,1,9,1,12,2,10,1,24,3,8,1,12,1,24,3,12,1,10,1,24,2,8,1,12,2,10,1,24,1,13,1,9,1,24,1,8,1,10,1,24,1,10,1,24,1,9,1,24,2,9,1,10,1,9,1,10,1,8,1,9,1,24,1,8,1,13,1,10,1,8,1,9,1,12,1,10,1,24,1,17,2,9,1,12,1,10,1,24,1,13,1,10,1,6,1,24,1,8,1,13,2,24,2,10,1,24,1,10,1,24,1,10,1,24,1,8,1,24,3,8,1,24,1,12,1,10,1,17,1,8,1,12,1,9,3,8,1,12,2,17,1,12,1,9,1,10,1,12,2,17,11,12,1,11,1,12,1,10,1,24,1,7,1,24,1,25,1,6,1,8,1,29,1,6,1,25,1,6,1,30,1,27,1,28,1,27,1,29,1,28,1,30,1,29,1,30,3,29,1,30,1,28,4,27,1,28,40,29,2,30,1,28,1,29,1,28,1,25,1,7,1,25,1,26,1,24,1,25,1,8,3,25,1,24,1,8,1,24,4,12,1,17,4,12,1,17,8,12,1,17,1,12,1,17,2,11,1,9,1,11,1,17,1,10,1,12,1,11,1,9,2,11,1,10,1,17,2,10,1,11,2,10,1,17,1,9,1,11,1,10,2,12,1,10,1,9,1,10,1,12,1,11,1,12,1,11,1,9,1,12,1,17,1,7,1,13,1,8,1,6,1,7,1,9,1,13,1,7,1,6,1,11,1,9,1,24,1,12,1,17,1,12,1,17,1,11,2,10,1,9,1,8,1,13,2,29,1,13,4,5,63,28,14,13,1,17,2,9,3,6,3,28,2,30,3,6,1,29,1,8,1,12,1,17,1,7,1,28,5,30,1,17,1,24,1,28,32,30,1,11,1,10,1,13,1,}, {6,1,28,1,30,2,28,12,29,1,28,3,29,1,28,11,30,1,28,2,29,1,28,4,6,2,24,1,9,1,17,4,8,1,9,1,13,1,6,1,13,2,9,1,17,2,11,2,12,1,17,1,11,1,12,1,10,1,13,2,29,1,8,1,12,1,14,1,13,1,6,1,29,2,30,1,6,1,8,1,9,2,12,1,8,1,13,1,6,1,8,2,10,1,11,2,17,2,6,1,13,2,8,2,13,1,6,1,28,8,29,1,28,3,30,3,28,3,30,1,28,4,29,3,13,1,9,1,8,1,24,1,17,1,9,1,13,1,30,1,6,1,30,4,24,1,17,2,10,1,16,1,8,2,13,1,8,1,6,1,13,1,6,2,29,1,7,1,13,1,8,1,10,1,9,1,24,1,30,1,28,3,30,1,28,9,13,1,16,1,9,1,13,1,9,1,8,1,9,1,13,2,6,1,13,3,8,1,13,3,9,1,13,1,8,1,13,1,9,1,13,3,8,2,13,1,9,2,13,1,11,1,13,1,16,1,9,1,13,1,9,1,13,2,16,1,8,1,9,2,8,1,13,1,9,2,6,1,9,4,11,2,9,1,11,1,9,2,8,1,11,1,9,2,8,1,11,1,9,1,8,1,9,4,10,1,9,1,10,2,11,1,16,4,11,1,16,2,11,1,16,1,11,1,17,2,16,3,11,1,9,1,8,1,9,1,8,2,13,1,28,3,6,1,30,1,28,2,29,1,30,1,28,2,30,2,28,1,29,1,28,2,30,1,28,18,30,2,6,2,28,1,29,1,6,2,7,1,13,4,8,2,9,1,7,1,9,1,8,1,24,2,9,1,10,3,11,1,10,1,12,1,10,1,11,2,17,4,11,1,24,1,8,1,13,1,8,1,6,1,30,1,29,1,6,2,7,1,6,1,13,1,29,2,7,2,28,26,30,1,29,1,30,1,28,2,30,1,28,8,30,1,29,2,27,1,25,1,26,1,8,1,24,2,17,2,12,2,17,8,12,1,17,2,12,1,17,1,12,1,17,6,12,1,17,43,9,1,13,1,30,1,28,50,30,1,28,2,29,1,28,5,30,1,28,2,29,2,30,1,6,1,7,1,8,1,13,1,6,1,24,2,29,1,28,57,30,1,28,2,30,1,28,52,29,1,30,1,27,1,28,3,30,1,28,3,6,1,28,4,30,3,29,1,30,1,29,1,28,2,30,1,6,2,30,1,7,1,6,2,30,1,7,3,24,1,13,1,24,1,8,1,13,1,24,1,13,2,8,2,29,1,28,3,30,2,28,28,30,2,28,1,30,1,28,1,30,1,29,2,6,2,29,2,6,3,7,2,13,1,7,1,6,1,13,1,7,2,8,1,13,1,8,2,13,1,7,1,13,2,7,1,8,2,24,4,9,1,10,1,8,1,9,2,10,1,9,1,8,1,9,1,11,1,12,1,17,2,12,1,14,1,9,1,11,2,6,1,5,246,13,1,30,1,28,4,9,2,11,2,29,1,28,3,8,1,13,1,11,1,16,1,13,1,5,12,28,5,30,1,5,134,13,1,30,1,13,1,6,1,13,1,7,2,13,2,7,1,9,1,13,1,6,1,13,1,7,2,29,1,9,2,13,2,24,2,8,1,13,1,12,2,13,1,17,1,12,1,8,1,12,1,9,1,10,1,12,1,9,1,10,1,11,1,12,1,11,2,17,12,12,1,17,1,11,1,17,19,12,1,17,3,9,1,11,2,16,2,9,1,16,1,10,1,11,1,16,2,17,2,16,2,17,1,16,1,17,1,16,4,17,2,16,1,17,5,16,1,11,1,13,2,8,1,13,1,7,1,13,3,7,2,24,2,8,1,10,2,24,1,17,1,10,1,12,1,8,1,24,1,10,1,8,1,24,1,13,1,8,1,10,2,11,1,9,1,8,1,13,1,8,3,6,1,13,1,24,1,8,1,13,1,8,1,24,2,8,1,10,1,13,1,24,1,13,1,24,1,8,1,9,2,24,1,11,1,9,2,10,1,11,1,10,1,11,2,17,1,12,1,11,1,17,1,10,1,16,1,17,1,11,1,17,1,11,1,9,1,10,1,9,1,8,1,13,1,29,1,6,1,13,1,9,1,13,1,8,1,6,1,30,1,8,1,9,3,11,1,12,1,9,1,10,1,9,1,10,1,9,1,17,1,11,1,16,4,11,1,9,1,11,5,17,1,11,1,10,3,11,3,16,1,17,10,16,2,11,2,17,1,9,2,11,2,9,2,11,1,8,1,9,3,11,2,16,4,11,1,16,1,17,1,16,3,17,1,16,7,17,2,16,1,17,1,16,9,11,3,16,2,17,1,16,1,11,1,9,1,30,1,28,45,30,4,28,1,30,1,29,2,6,2,8,1,6,1,13,1,8,1,24,1,8,1,12,1,13,1,9,1,17,1,11,1,12,1,17,1,8,1,28,1,7,1,6,1,7,1,6,3,30,2,28,1,30,1,28,1,30,1,28,2,6,1,28,75,30,2,6,1,28,1,30,1,29,1,7,1,29,1,7,1,6,3,29,1,6,2,13,1,30,1,6,1,13,2,7,1,13,2,9,3,8,1,9,1,8,1,13,1,8,2,9,1,10,2,8,2,13,1,29,1,30,1,28,102,30,1,28,1,30,1,7,1,30,1,13,1,7,1,13,2,9,1,13,1,8,1,9,3,11,1,9,1,13,2,8,2,13,4,8,3,9,2,13,6,6,1,7,1,13,1,30,1,13,1,7,1,28,42,30,1,28,21,30,1,6,1,13,1,6,1,13,1,30,1,6,1,7,1,30,1,7,1,30,4,28,1,7,1,30,1,28,2,30,2,6,1,13,1,6,2,30,1,13,1,6,2,13,1,28,1,6,2,30,1,6,1,8,1,13,3,9,2,7,1,9,1,17,11,12,1,17,1,12,1,17,1,12,1,24,1,12,1,10,1,9,1,12,1,10,2,12,3,24,1,12,1,10,1,9,1,12,2,8,2,24,3,8,1,24,1,12,1,13,1,17,1,24,1,17,1,12,1,10,2,12,1,24,3,12,1,10,1,24,1,12,2,13,1,24,1,10,1,24,1,7,1,9,1,24,1,8,1,10,1,13,1,9,1,10,1,9,1,12,3,17,1,10,1,24,1,10,1,7,1,24,1,12,1,7,1,24,1,13,2,24,1,9,1,8,2,24,1,9,1,8,1,24,2,10,2,12,1,24,1,12,1,9,1,12,2,10,1,24,1,8,1,9,2,24,1,12,1,24,2,9,1,24,1,12,2,9,1,10,1,12,1,17,14,10,1,12,2,8,1,7,1,24,1,8,1,25,1,8,1,6,1,25,1,6,1,27,2,25,1,27,1,29,1,30,2,29,1,30,2,28,1,30,2,28,5,30,3,28,37,30,1,29,1,28,1,30,1,28,1,29,1,6,2,30,1,8,1,6,1,24,2,8,2,24,1,25,1,8,1,13,1,24,3,8,1,24,1,17,20,12,1,10,2,8,1,9,1,11,1,8,1,9,3,12,2,8,1,9,1,11,2,17,1,11,1,9,1,17,1,9,1,10,1,9,1,12,1,24,1,9,1,8,1,13,1,9,1,8,1,9,2,13,1,7,1,13,1,9,1,8,1,13,1,24,2,8,1,10,1,8,1,10,1,8,1,17,1,11,1,12,1,11,1,10,1,8,1,13,5,7,1,13,1,5,64,28,14,13,1,17,2,12,1,9,1,13,2,6,3,28,1,30,1,28,1,30,1,29,1,13,1,9,1,17,2,6,1,28,5,30,1,17,1,9,1,28,32,29,1,12,1,9,1,13,1,}, {6,1,30,1,28,3,30,2,28,9,30,2,28,2,30,1,28,4,30,1,28,2,29,1,28,11,7,1,13,1,8,1,9,1,17,4,24,1,6,1,7,3,13,1,11,1,17,2,11,1,9,1,12,1,9,1,16,1,8,1,9,1,13,1,6,1,29,1,8,1,13,1,9,1,13,1,7,1,6,3,7,1,13,1,12,1,9,2,24,1,8,1,13,2,9,1,24,1,10,1,16,1,17,2,13,4,8,2,6,1,30,1,28,1,30,2,28,12,29,1,28,1,6,1,28,4,29,1,8,1,13,2,10,1,9,1,17,2,10,1,7,1,30,1,6,1,29,1,30,1,29,1,28,1,8,1,17,3,8,1,9,1,8,2,13,1,7,1,13,1,30,1,6,3,8,2,12,1,14,1,15,1,28,3,30,2,29,1,28,1,30,1,28,1,30,1,28,4,13,1,10,1,8,1,9,1,8,1,13,1,9,1,13,1,8,1,6,1,13,1,8,1,9,1,13,2,9,2,13,3,9,1,13,1,9,3,13,2,9,1,13,1,11,1,6,1,8,1,9,1,8,1,13,2,9,2,13,1,11,2,9,1,13,1,11,1,9,2,13,1,9,1,8,2,9,1,13,1,8,1,9,3,13,1,9,2,11,1,9,2,11,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,11,1,8,1,9,4,16,1,11,1,9,1,11,3,16,1,17,1,16,1,17,1,16,1,17,1,16,1,12,1,9,1,13,1,8,2,29,1,28,9,29,1,6,1,28,1,29,1,30,2,28,1,6,1,28,20,6,1,30,1,6,1,29,1,6,1,29,1,7,1,13,1,8,1,7,2,8,2,13,1,9,1,13,1,24,1,9,2,8,1,9,2,12,1,24,1,10,1,9,1,17,3,12,1,11,1,10,1,11,1,17,3,9,1,10,1,13,1,6,1,28,1,7,1,30,1,13,1,7,1,13,1,8,1,13,2,7,1,13,1,6,1,28,3,30,1,28,21,30,1,28,3,30,1,28,1,30,1,28,7,30,1,28,1,27,1,29,1,27,2,26,1,25,1,8,1,12,1,24,1,17,1,12,1,17,2,10,1,17,1,12,1,17,5,12,1,17,3,12,1,17,35,12,1,17,7,12,1,17,7,8,1,13,1,28,45,29,1,28,3,30,1,28,5,30,2,28,3,6,2,30,1,29,1,6,1,29,1,30,1,8,1,10,1,24,1,8,1,24,1,29,1,28,40,30,1,28,40,29,1,28,34,25,1,29,1,28,2,6,1,30,1,29,1,30,1,28,1,29,2,28,2,30,1,28,1,29,1,28,4,6,2,13,1,28,1,30,1,7,1,6,1,13,1,8,1,7,1,13,1,8,1,24,2,8,1,10,1,24,1,8,3,24,2,6,1,13,1,28,1,30,1,28,20,26,1,28,5,6,1,30,1,28,3,30,1,28,1,30,1,6,1,30,1,6,1,30,1,6,2,7,1,13,1,8,1,24,1,13,1,7,1,24,1,8,1,6,1,8,1,7,1,13,1,8,1,24,1,13,2,8,2,13,3,8,3,24,3,11,1,12,2,24,1,8,1,9,1,10,1,11,1,9,1,11,1,9,1,12,3,15,1,11,2,9,1,33,1,5,248,30,1,28,3,7,1,13,1,9,1,11,1,17,1,9,1,29,1,28,1,7,1,9,1,8,1,17,1,5,18,33,1,5,135,33,1,6,1,13,1,7,1,13,2,7,1,6,1,13,2,7,2,13,1,7,2,6,1,29,1,6,1,13,2,9,1,8,1,13,1,10,3,17,1,8,1,12,2,24,3,12,1,24,1,13,1,11,1,9,2,12,1,11,1,17,1,12,2,17,1,12,1,17,8,11,1,12,1,17,24,11,1,10,1,16,1,11,2,16,1,11,1,16,1,11,1,16,2,11,1,16,1,17,3,16,1,11,1,17,3,16,1,17,1,16,1,17,5,16,1,9,1,13,2,8,1,13,1,7,1,13,3,8,2,29,1,24,2,9,1,24,1,10,1,12,1,11,2,10,1,11,1,9,5,24,3,12,1,9,1,8,1,24,1,8,1,13,1,8,1,7,1,13,1,6,1,24,1,8,2,24,1,13,1,10,1,24,1,11,1,9,1,10,1,8,1,9,1,10,2,9,2,8,1,11,1,9,1,11,2,8,1,17,1,9,1,11,3,10,1,12,1,9,1,11,3,24,1,13,4,9,1,8,2,13,1,29,1,13,4,9,3,10,1,9,2,11,4,17,1,16,1,17,1,11,1,17,1,16,1,9,1,11,2,9,1,10,1,9,2,10,1,12,1,17,1,11,3,17,1,11,1,16,1,17,4,16,1,17,2,16,3,11,3,16,1,11,2,9,1,10,1,12,1,11,2,9,5,16,1,11,1,16,3,17,1,16,3,11,1,17,2,16,2,17,1,16,5,17,1,16,1,17,1,16,6,11,1,16,1,11,1,16,1,11,1,16,4,11,1,10,1,9,1,28,50,7,1,6,1,30,1,29,1,6,1,7,6,13,1,24,1,10,1,12,2,10,1,17,1,11,1,17,1,11,1,7,1,30,1,7,1,13,1,30,1,6,1,29,1,28,2,7,1,30,1,28,3,30,1,28,73,30,1,28,2,30,1,29,1,28,1,6,1,28,1,7,2,6,1,7,1,6,1,30,1,13,1,6,1,13,1,6,1,7,2,6,1,8,1,13,2,11,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,24,1,8,1,13,1,9,1,6,1,13,1,6,1,28,107,30,3,7,1,13,1,6,2,13,1,9,2,13,1,10,2,8,1,9,1,13,1,8,1,9,1,13,1,8,4,13,2,8,3,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,2,7,1,13,1,7,2,6,1,30,1,6,1,29,1,28,61,6,2,13,3,6,3,28,1,6,2,30,2,6,1,28,1,30,2,13,1,6,1,30,1,6,3,13,1,30,1,6,1,13,5,9,1,7,1,13,3,9,1,13,2,9,1,8,1,17,10,12,1,17,2,12,1,10,1,12,2,17,1,10,1,9,1,12,2,10,1,13,1,17,1,24,1,12,3,10,1,24,1,8,2,9,1,24,2,8,1,12,1,10,1,24,2,9,1,24,2,12,1,24,1,10,1,24,1,10,1,9,2,24,3,12,1,24,2,13,1,8,2,12,1,8,2,24,1,9,1,13,1,17,1,12,1,17,1,10,2,8,1,24,1,7,1,12,1,13,1,24,1,7,1,8,1,24,4,8,2,10,1,8,1,24,2,7,1,24,2,9,1,24,1,12,2,24,1,10,1,24,1,12,1,9,1,17,1,10,1,12,1,10,1,17,1,8,1,17,1,12,3,24,1,12,1,17,1,24,1,17,14,24,2,12,1,24,1,8,1,24,1,6,1,8,1,25,1,27,1,25,1,26,1,29,3,28,1,27,1,29,1,27,1,30,1,28,1,30,1,28,9,30,1,28,39,30,1,28,1,30,1,29,1,28,1,29,1,6,2,30,2,25,1,8,1,25,1,27,1,24,1,8,2,24,1,8,2,10,1,8,2,10,1,17,20,12,1,9,1,11,1,10,1,9,2,10,1,13,1,9,1,11,3,24,1,17,1,13,1,24,1,9,2,11,1,10,1,12,1,11,1,8,1,12,1,24,1,11,1,9,2,24,1,6,1,13,1,7,1,13,1,9,2,13,1,8,2,11,1,10,1,17,1,9,2,12,2,9,1,10,2,13,2,8,1,6,1,7,1,8,1,13,2,5,65,28,14,8,1,17,3,10,2,6,1,29,1,30,1,28,2,29,1,28,2,6,2,10,1,12,1,9,1,30,1,28,6,17,2,28,2,30,1,28,29,30,1,17,1,9,1,8,1,}, {13,1,28,2,30,1,28,2,30,1,28,10,30,1,29,1,28,1,30,2,28,4,30,1,28,14,6,1,13,2,24,1,17,3,16,1,13,2,6,1,7,1,13,2,17,2,11,1,9,1,8,1,12,1,9,1,17,1,8,1,13,1,7,1,30,1,13,1,14,1,24,1,8,1,29,1,6,1,13,2,8,1,7,1,13,1,15,1,24,1,28,1,8,1,13,2,8,1,17,5,9,1,13,1,8,1,24,2,6,3,28,14,29,1,28,1,30,3,28,2,30,2,13,1,7,1,8,2,10,1,17,2,9,1,6,2,28,1,30,2,28,2,13,1,17,3,15,1,12,1,6,1,8,1,13,1,8,1,6,1,13,1,6,2,13,1,7,1,24,2,8,1,9,1,13,1,29,1,28,1,30,1,28,4,30,3,28,3,9,1,11,1,9,2,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,13,1,9,1,8,1,13,1,11,1,13,4,8,1,13,3,9,2,13,3,8,2,11,2,13,1,8,2,9,2,8,1,13,1,9,1,11,1,13,1,9,3,11,1,9,1,8,1,9,2,11,3,9,1,16,1,9,1,8,1,13,1,9,3,11,1,9,1,11,1,9,4,10,1,9,3,8,2,9,3,11,1,9,1,17,1,11,1,9,1,13,1,8,1,13,1,8,1,30,1,28,13,30,2,29,1,28,1,30,3,28,1,30,1,28,3,30,1,28,11,29,1,6,1,30,1,29,2,6,1,29,1,7,1,13,1,8,1,7,1,13,1,24,1,13,1,9,2,8,1,13,1,9,2,13,1,24,1,10,1,9,1,10,2,17,1,12,1,17,7,11,1,17,1,11,1,6,1,13,2,30,1,28,1,7,1,29,1,7,2,13,1,6,1,30,1,6,3,13,1,6,1,30,1,28,26,29,1,30,2,28,7,30,2,29,1,28,1,29,2,27,1,26,1,25,1,24,2,17,1,12,1,17,1,12,1,17,1,12,1,17,4,12,1,17,1,12,1,17,2,10,1,17,2,12,1,17,1,12,1,17,39,12,1,17,8,13,1,6,1,28,40,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,1,29,1,30,2,28,2,29,1,6,1,30,1,6,1,13,2,29,1,13,1,10,2,7,1,9,1,12,1,6,2,28,60,30,1,28,1,30,1,29,1,28,47,30,1,28,2,30,2,6,1,25,1,6,1,28,1,6,2,28,1,30,1,29,2,28,1,30,2,28,2,29,1,28,1,30,1,29,1,28,1,6,1,7,1,29,1,6,1,29,1,7,1,6,1,13,2,8,1,13,1,8,3,10,1,8,1,24,1,13,1,8,1,13,1,8,1,24,1,30,1,29,2,30,2,29,1,28,15,30,2,28,4,30,1,29,1,28,1,30,1,6,1,28,1,7,1,28,1,13,1,7,1,13,2,24,1,8,1,9,1,8,1,13,1,7,1,8,5,13,2,7,1,24,2,8,3,24,2,8,1,24,1,6,1,13,1,8,1,24,1,8,1,10,2,8,1,9,1,8,1,9,1,8,1,12,1,8,1,17,1,10,1,11,3,17,1,9,1,12,1,17,1,16,1,9,1,13,1,5,250,30,1,13,1,28,1,7,1,13,1,8,1,10,1,17,1,11,1,9,1,13,2,11,1,16,2,5,155,33,1,13,4,29,1,13,1,7,1,13,2,6,1,9,1,13,1,30,1,6,1,13,1,6,1,30,1,13,1,8,1,7,1,24,1,8,4,17,1,24,2,12,1,24,1,10,3,13,1,9,3,11,1,12,1,11,2,17,2,12,1,17,6,12,1,17,2,12,1,17,24,16,1,11,2,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,2,16,1,17,2,16,1,9,1,17,1,16,2,17,5,16,1,17,1,16,1,9,1,13,2,8,1,13,1,8,1,13,1,24,1,8,1,13,2,7,2,8,1,9,1,17,1,9,1,10,1,12,1,17,1,11,1,17,1,9,4,13,1,12,1,24,2,10,2,8,1,24,1,13,3,6,1,8,1,13,1,24,1,8,1,24,3,8,2,10,1,8,1,24,1,9,1,8,1,9,3,12,1,9,1,11,1,9,1,11,1,9,1,17,1,9,1,12,1,11,1,12,1,9,1,12,1,10,1,9,1,11,1,12,1,10,1,8,1,10,1,9,3,12,1,8,1,28,1,6,1,7,1,13,4,9,2,11,1,10,2,9,2,11,1,10,1,16,1,11,1,17,1,16,1,11,3,12,1,9,1,10,2,11,1,10,1,11,1,9,1,10,1,11,1,10,1,11,1,10,1,11,1,17,1,16,1,17,3,16,2,17,3,16,1,17,1,16,1,11,2,9,1,11,1,9,1,10,1,9,1,11,1,9,7,16,1,11,1,16,1,11,1,9,1,17,1,16,4,11,1,16,2,17,4,16,10,11,3,16,1,11,1,16,1,11,3,16,1,11,1,9,1,13,1,9,1,13,1,30,1,28,50,29,2,6,1,28,1,7,2,29,1,7,2,8,4,10,1,11,1,10,1,17,3,11,1,28,1,30,1,7,1,29,2,30,1,28,4,6,2,28,1,30,1,28,3,29,1,28,5,30,1,28,43,6,1,28,18,30,2,28,1,30,2,13,1,28,1,13,1,30,1,13,1,7,1,30,1,29,1,6,1,7,1,6,2,13,2,7,2,13,2,9,5,13,1,9,2,8,1,13,1,8,1,13,2,6,1,29,2,28,111,30,1,28,1,7,1,6,1,13,2,7,1,9,1,8,3,9,3,13,1,8,1,9,2,13,2,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,8,6,13,1,9,1,8,1,11,1,8,3,7,1,13,1,30,1,6,1,29,1,28,2,30,2,28,56,6,1,13,1,29,1,13,1,29,1,30,1,28,1,30,1,6,1,29,1,28,1,6,2,30,1,29,1,28,1,29,1,28,1,6,2,8,1,13,1,6,1,7,1,13,1,28,1,13,1,7,1,6,1,13,3,9,1,13,2,9,2,8,1,9,1,17,9,12,1,17,2,12,1,10,3,12,1,9,1,12,1,10,1,24,1,12,1,17,1,12,2,8,1,10,1,9,1,10,1,8,1,24,2,10,1,8,1,9,1,24,1,8,1,24,1,13,1,24,3,10,2,9,1,10,1,12,1,10,2,9,1,24,2,12,1,8,4,24,3,12,1,10,1,8,1,12,1,24,1,12,1,9,1,8,1,9,1,8,1,10,1,8,1,24,1,7,2,6,1,7,1,24,1,6,1,10,1,25,1,8,1,24,1,25,1,24,1,12,1,24,1,8,1,7,1,17,1,8,1,10,1,24,2,10,1,8,1,12,1,24,3,10,1,12,1,24,1,12,1,17,1,12,2,10,1,17,1,9,1,12,1,24,1,9,1,17,2,12,4,17,1,12,1,17,6,12,1,24,1,17,1,10,1,6,1,24,1,25,1,26,1,25,3,26,1,8,1,27,1,30,1,27,2,26,1,30,1,28,1,29,1,28,1,29,1,28,10,29,1,28,37,30,1,28,4,30,1,28,2,6,1,29,1,6,1,29,1,25,1,8,2,25,1,24,1,8,2,6,1,24,1,8,1,24,3,17,19,10,1,17,1,12,3,11,1,12,1,11,1,10,1,12,1,9,2,10,1,13,1,10,1,11,1,10,2,9,1,10,1,11,1,9,1,11,1,10,1,12,1,9,1,10,3,8,1,13,1,10,1,8,1,9,1,13,1,9,1,13,1,9,1,10,1,12,2,17,1,10,1,11,1,9,1,13,1,9,1,24,1,9,1,8,1,13,1,8,1,6,1,7,1,8,1,5,67,28,14,9,1,17,3,16,1,9,1,7,1,6,1,28,7,6,1,13,1,9,2,28,6,6,1,9,1,17,1,28,1,30,1,28,1,6,1,28,28,9,1,17,1,12,1,13,1,}, {28,19,30,3,29,1,28,1,29,1,28,1,30,1,28,9,29,2,28,1,30,2,6,1,8,1,24,1,8,1,17,3,9,1,13,1,6,1,8,1,6,1,13,1,9,1,17,2,11,1,12,1,16,2,11,1,9,1,10,1,7,1,8,1,6,1,8,1,14,1,11,1,8,1,7,1,6,1,13,1,7,2,24,1,12,2,10,1,7,1,24,1,30,1,24,1,9,1,17,5,9,1,29,1,6,1,8,1,13,1,6,1,30,1,28,13,29,1,28,2,29,1,28,1,30,1,29,1,28,2,29,1,6,1,30,1,13,1,8,1,9,1,24,1,12,1,17,2,6,1,28,1,30,1,28,1,29,1,28,2,6,1,12,1,17,1,11,1,24,1,13,1,7,1,13,1,8,2,6,2,30,1,6,1,8,1,7,1,8,3,10,1,8,1,28,1,30,4,28,6,30,1,28,1,9,2,10,1,9,5,13,2,9,2,11,1,9,2,8,1,9,1,8,1,9,1,8,1,9,2,13,3,11,1,13,2,8,1,13,1,7,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,6,1,13,2,9,1,8,1,11,1,13,1,9,2,11,1,9,2,13,1,9,1,11,1,9,1,11,1,8,1,9,1,13,1,10,1,8,1,9,2,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,8,1,9,1,11,1,9,5,17,1,9,1,8,1,13,3,9,1,6,1,28,15,29,2,28,2,29,1,30,1,29,1,28,1,30,1,28,12,29,1,30,1,6,1,29,2,13,1,6,3,24,1,7,1,13,2,7,1,24,1,8,1,13,1,12,1,10,1,9,1,10,2,9,2,10,1,11,1,9,2,12,1,17,1,12,1,17,2,12,1,11,1,17,1,12,1,17,2,10,1,17,1,9,1,13,1,6,2,29,1,13,1,6,1,7,1,13,1,6,1,7,1,8,1,7,1,6,1,13,1,28,24,30,1,28,1,30,1,28,1,30,2,25,1,29,1,27,1,28,1,30,1,28,5,29,5,25,3,24,1,12,3,17,2,12,2,17,2,12,1,17,1,12,2,10,1,17,2,12,1,10,1,12,2,24,1,17,1,10,1,17,38,12,1,17,7,12,1,7,1,30,1,28,48,29,1,6,1,28,2,29,3,30,4,6,3,7,1,13,1,7,1,8,1,13,1,10,1,24,1,12,1,13,1,6,1,28,106,30,2,28,8,27,1,6,1,24,1,29,1,28,1,6,1,30,1,29,1,30,1,28,1,6,1,29,1,28,1,30,2,28,1,29,1,28,1,7,1,25,1,30,1,7,1,6,1,29,1,6,1,7,2,24,1,7,1,8,2,6,1,8,5,24,1,13,1,8,1,13,1,24,1,7,1,13,1,29,1,6,1,30,2,28,2,29,1,28,15,29,1,30,1,28,2,30,1,28,1,30,2,6,3,13,1,8,1,13,1,8,1,6,1,10,1,24,3,8,2,24,1,9,1,7,1,13,1,8,1,13,1,24,2,8,1,7,1,8,1,24,1,8,3,24,3,8,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,24,1,10,1,9,1,12,1,17,1,12,2,10,1,9,1,17,1,16,2,17,2,13,1,30,1,5,251,28,1,9,1,17,4,13,2,5,163,13,1,9,1,7,1,13,2,7,1,6,1,7,1,13,1,8,2,13,5,7,1,13,1,7,1,13,1,24,1,13,1,24,1,9,1,8,1,17,1,10,1,12,2,24,1,10,2,9,1,12,1,9,2,8,1,12,1,10,1,12,1,11,1,17,9,11,1,17,1,12,2,17,22,12,1,17,3,12,1,16,2,17,1,16,1,11,1,17,1,11,1,16,1,11,1,16,2,17,3,16,3,11,1,16,1,17,3,16,2,17,1,16,1,17,1,16,1,9,1,8,2,13,1,6,1,8,1,6,1,7,1,13,2,8,4,13,1,9,1,12,5,10,1,11,1,17,1,11,1,9,1,8,1,13,1,8,1,13,1,10,1,24,2,8,2,24,1,6,1,8,1,6,2,13,1,7,1,8,1,24,1,10,1,13,1,10,1,12,1,9,1,24,2,9,1,8,1,12,1,9,1,11,2,12,1,10,1,11,1,8,1,11,2,9,1,11,1,10,1,9,1,12,1,9,2,17,1,9,1,8,2,10,1,24,2,9,1,8,1,13,1,28,1,7,2,8,3,7,1,8,1,9,4,10,1,9,1,11,3,16,1,11,5,9,2,8,1,10,1,9,3,8,1,9,1,11,1,9,1,11,2,17,1,10,1,11,2,16,2,17,1,16,4,11,1,16,1,11,4,10,1,9,1,11,1,16,1,9,1,10,2,9,5,11,1,16,1,11,1,9,1,11,1,16,2,17,1,16,2,17,4,16,1,17,1,16,4,11,1,16,3,11,2,16,1,11,1,16,2,11,1,16,1,11,1,17,1,10,1,11,3,13,4,7,1,28,46,30,1,28,3,30,1,28,1,6,1,28,1,6,2,30,1,7,1,8,1,6,1,13,3,10,2,8,1,11,1,9,1,11,1,17,1,13,1,6,1,30,2,6,2,30,1,6,1,30,1,28,2,30,3,28,4,29,1,28,51,30,1,28,15,6,1,28,1,6,1,28,1,6,1,30,2,7,1,6,1,7,2,6,3,13,1,7,1,6,1,13,3,9,1,8,1,9,1,8,1,9,2,13,1,9,1,8,2,13,4,29,2,28,96,30,1,28,2,30,2,28,2,29,1,28,1,30,1,28,2,30,1,29,1,6,1,30,1,29,1,30,1,6,1,28,1,29,1,6,1,28,1,30,1,6,3,13,1,9,1,13,1,9,2,8,1,11,1,9,1,10,1,9,2,10,1,9,1,8,1,13,1,8,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,13,1,9,3,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,3,8,1,7,2,13,1,7,1,13,1,30,1,28,1,6,1,30,1,6,1,30,3,28,48,13,1,6,4,30,2,6,1,29,1,28,2,13,1,6,1,30,2,28,1,6,1,28,1,7,1,6,1,7,1,6,3,13,3,7,1,8,1,30,1,8,2,13,1,8,2,9,1,10,1,17,9,12,1,17,3,10,1,12,2,10,1,12,5,10,4,17,1,8,1,9,1,12,1,24,1,10,1,8,1,24,1,8,2,24,1,13,1,10,1,24,1,10,1,24,1,12,1,13,1,12,1,10,1,24,1,9,1,17,1,10,1,9,1,10,1,8,1,12,1,8,1,12,1,17,1,9,2,10,1,17,1,10,1,9,1,17,1,10,1,24,1,8,1,24,1,8,1,13,1,10,1,8,1,25,2,24,2,8,1,25,1,24,2,25,2,24,2,8,2,24,1,8,1,24,1,12,1,10,1,12,1,24,2,12,1,24,3,12,1,10,1,17,1,9,1,24,1,10,1,17,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,10,1,17,1,24,1,8,1,12,1,17,9,12,1,17,1,12,1,24,1,8,2,25,1,8,1,26,1,8,1,27,2,25,1,27,2,29,2,26,1,30,2,28,56,30,1,28,4,30,1,28,1,25,1,28,1,25,2,24,1,8,1,25,1,8,2,7,1,24,1,8,1,9,2,17,22,11,2,12,1,10,1,9,1,10,2,11,1,10,1,9,2,12,1,17,1,13,1,11,2,10,2,11,1,10,1,12,2,9,1,11,1,10,1,13,1,8,1,13,1,6,1,8,1,9,1,8,1,9,1,11,1,12,1,17,1,9,1,12,2,9,1,11,1,9,2,13,3,9,1,6,1,9,1,13,1,9,1,5,67,6,1,28,12,29,1,11,1,17,4,24,1,7,1,28,2,30,1,28,2,6,1,30,2,28,1,9,1,12,1,9,1,30,1,28,6,17,1,12,1,28,1,30,1,29,1,28,29,9,1,17,1,8,2,}, {30,2,28,2,30,1,28,9,30,2,29,1,28,18,30,1,6,1,30,2,29,1,6,1,29,1,8,1,24,1,9,1,17,2,16,2,13,1,6,2,13,1,7,1,9,1,17,3,9,1,10,1,16,2,9,2,7,1,8,1,29,1,13,1,9,1,15,1,24,1,13,1,8,1,13,2,8,2,9,1,15,1,8,1,9,2,24,1,8,2,16,1,11,1,17,1,16,1,17,1,24,1,13,2,24,1,9,1,6,1,30,1,28,14,30,1,28,3,30,1,28,2,30,1,28,1,29,1,7,1,24,1,8,1,24,1,8,1,9,1,17,2,7,1,28,1,6,1,30,2,28,1,6,1,29,1,11,1,16,1,17,1,12,1,8,1,13,2,8,1,29,1,13,1,6,1,13,1,6,2,7,1,8,1,10,1,14,1,10,1,9,1,6,1,28,2,30,1,28,1,30,2,28,2,29,1,6,1,29,1,28,1,6,1,12,1,10,1,9,3,11,1,9,1,8,1,9,6,13,2,8,1,13,1,8,1,9,4,13,1,9,3,13,2,9,1,13,1,8,1,9,1,13,2,8,2,9,1,8,1,13,1,8,2,13,3,9,1,13,1,9,1,13,3,9,1,11,2,9,1,12,1,9,1,13,1,8,2,9,1,8,1,9,2,11,2,9,2,16,1,11,1,9,1,11,1,16,2,17,6,12,1,8,2,13,4,8,1,6,1,28,15,30,5,6,1,29,1,30,1,28,1,30,3,28,3,30,1,28,1,30,1,28,2,29,1,28,1,6,4,29,1,7,1,13,1,6,2,13,1,8,2,9,1,8,1,24,2,8,1,9,1,17,1,9,1,12,1,17,1,11,2,9,1,17,1,12,2,10,2,17,5,12,1,17,2,12,1,9,1,17,1,7,1,13,1,6,2,7,1,29,1,8,1,7,1,8,2,6,2,7,2,6,1,29,1,30,1,28,24,30,6,28,1,30,2,28,4,29,1,27,1,29,1,27,1,26,1,25,1,26,1,8,2,12,1,10,1,12,1,17,1,12,1,17,2,12,3,17,4,24,1,12,1,17,1,12,1,17,4,9,1,12,1,17,35,12,1,17,11,8,1,29,1,28,41,30,1,28,4,29,1,28,1,30,1,6,1,29,2,6,1,29,1,6,1,30,1,6,1,30,1,29,1,7,1,13,2,6,1,13,1,6,1,10,1,24,2,10,1,8,1,6,1,28,35,30,1,28,1,30,1,28,18,30,2,28,37,30,1,28,12,30,1,28,3,30,3,28,1,30,2,24,1,25,1,29,1,30,1,25,1,6,1,30,1,29,1,30,1,28,2,7,1,28,1,30,1,28,1,29,2,6,1,30,1,6,1,8,1,6,1,25,1,13,2,7,1,8,2,13,1,7,1,24,4,9,1,8,2,24,1,8,1,24,1,7,1,8,1,30,1,6,2,28,1,30,2,6,1,28,1,30,1,28,1,30,1,28,9,30,1,28,7,29,2,30,1,13,1,29,1,6,1,24,1,6,1,8,2,13,1,24,1,8,2,9,1,8,1,24,2,8,1,24,2,8,1,13,1,24,2,8,1,13,1,24,2,8,2,24,1,8,2,24,1,9,1,8,1,9,3,11,1,9,1,8,1,11,1,10,1,12,2,9,2,10,1,17,1,12,1,16,1,11,1,16,1,11,1,30,1,33,1,5,253,28,2,6,1,28,2,5,165,13,1,8,1,6,1,7,1,13,1,29,1,6,1,7,1,6,1,13,1,7,1,13,1,7,1,13,1,7,1,6,2,13,3,10,1,8,1,11,1,12,1,9,1,12,1,9,1,12,1,10,2,13,1,17,1,24,1,12,1,7,1,9,1,10,2,12,1,9,1,10,1,17,4,12,1,17,2,12,1,11,2,17,2,11,1,12,1,17,24,12,1,17,2,16,4,11,2,17,1,16,1,11,1,17,2,16,1,11,1,10,1,16,1,17,1,16,2,17,1,16,5,17,2,11,1,10,1,11,1,8,1,13,1,8,1,13,1,8,1,13,1,24,1,13,1,8,1,7,1,8,3,13,1,10,1,11,1,12,1,10,1,17,1,10,1,17,1,12,1,10,1,24,1,12,1,24,4,13,1,8,1,24,1,8,1,7,1,6,1,8,2,7,1,13,1,8,2,13,1,24,4,8,1,9,1,24,1,12,1,9,1,11,1,9,1,11,1,10,2,11,1,10,1,9,3,10,1,12,1,10,1,9,2,10,2,11,1,9,1,10,1,13,1,8,1,9,1,8,1,9,1,8,1,12,1,30,1,6,2,13,2,7,1,13,1,24,1,9,1,8,1,9,3,11,1,10,1,16,1,10,1,17,1,11,1,16,1,11,1,10,1,16,1,9,1,8,1,9,1,11,1,8,1,11,1,10,1,9,1,11,2,10,1,11,2,10,1,11,2,16,1,17,1,16,1,11,2,17,1,16,4,17,1,11,3,10,1,11,3,9,1,11,1,16,1,11,1,9,2,13,1,9,1,16,1,11,1,8,1,11,1,16,1,17,3,16,2,17,3,16,1,17,2,16,4,11,2,16,4,11,3,16,1,11,1,16,2,11,3,16,1,11,1,13,2,8,1,13,2,6,1,28,47,30,1,28,3,30,1,28,1,30,1,29,1,6,1,28,1,6,3,7,1,8,1,9,1,8,1,24,1,12,1,11,1,17,2,12,1,13,2,30,2,6,1,7,1,30,2,28,3,30,3,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,61,6,1,29,1,28,2,29,1,30,1,6,2,30,1,7,1,6,1,7,1,29,1,6,1,7,1,13,4,9,1,10,1,9,3,8,1,9,1,8,1,9,1,8,1,13,4,29,1,30,1,28,105,30,3,6,2,30,1,6,2,30,5,28,1,8,1,30,1,6,1,29,1,28,1,7,1,6,1,7,1,13,1,9,1,8,1,9,3,11,1,13,1,12,2,8,1,10,1,8,3,9,2,8,1,10,1,9,2,8,1,9,1,8,1,13,1,9,2,8,3,9,12,8,1,13,2,8,1,13,4,7,1,6,1,13,2,28,47,30,3,6,1,7,1,30,1,6,1,13,2,28,2,30,1,6,1,29,1,6,1,30,1,13,1,6,2,29,1,6,1,13,1,6,1,13,2,8,1,6,1,9,1,13,1,10,1,9,3,8,1,10,1,17,6,12,1,17,3,12,2,9,1,17,1,12,1,10,2,8,1,17,1,12,1,17,1,12,3,24,1,17,1,12,2,10,1,24,1,12,1,8,1,12,1,8,1,10,2,24,2,10,1,12,1,24,1,10,1,24,1,12,1,24,1,9,1,7,1,9,1,10,1,24,1,12,1,9,1,24,1,13,1,8,1,9,1,24,1,12,1,9,1,17,2,9,1,10,1,9,1,24,1,8,2,24,1,25,1,8,1,25,1,7,1,25,1,8,2,24,1,25,1,26,1,8,2,25,1,24,3,8,1,13,1,8,2,24,1,8,1,24,1,8,1,24,1,9,1,12,1,24,1,12,1,10,1,12,1,24,1,9,1,24,1,17,2,12,2,9,1,17,2,10,1,17,2,12,4,17,1,12,2,17,6,9,1,12,1,10,1,8,1,24,2,6,1,25,2,26,1,8,1,26,1,25,1,27,1,26,1,29,1,25,1,29,1,30,1,28,1,29,1,28,4,30,1,28,58,6,1,25,1,29,1,6,1,25,3,8,2,10,1,8,2,12,1,24,1,12,1,17,21,12,2,11,1,17,1,12,1,9,1,11,1,24,1,9,1,11,1,10,2,17,1,13,1,9,1,12,1,10,1,11,1,9,1,10,1,17,1,24,1,11,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,17,1,9,1,12,1,9,1,12,1,11,2,8,1,9,1,13,1,24,1,6,1,9,1,13,1,7,1,13,2,33,1,5,68,6,1,28,12,30,1,8,1,17,2,16,1,17,1,10,1,6,2,30,1,29,1,30,1,28,1,6,1,29,1,6,2,9,1,17,1,11,1,30,1,28,5,6,1,17,1,10,1,28,1,29,1,6,1,28,29,6,1,17,1,10,1,9,1,}, {13,1,28,1,30,1,28,13,30,1,28,2,29,1,28,17,30,3,29,2,8,1,13,1,9,1,11,1,17,2,11,1,8,1,7,1,13,2,6,1,9,1,17,2,10,1,17,1,9,1,16,1,9,1,24,1,13,1,7,1,13,1,6,2,11,1,12,1,6,2,13,2,8,2,24,2,17,1,24,1,9,1,8,2,10,1,8,1,17,1,16,1,17,3,9,2,8,1,9,1,11,1,13,1,30,1,28,9,30,1,28,3,30,1,28,1,30,1,28,2,29,1,30,1,28,2,29,1,6,1,13,1,8,1,24,1,12,1,24,2,17,1,10,1,13,1,30,3,6,1,29,1,28,1,13,1,17,1,16,1,12,1,8,1,9,1,8,1,13,1,7,1,30,1,13,1,6,1,7,1,6,1,8,1,13,1,24,1,15,1,14,1,15,1,9,1,29,1,28,1,29,1,6,1,28,3,30,1,28,3,29,1,28,2,9,2,11,2,9,2,13,1,9,1,8,2,13,1,9,3,13,1,9,1,13,1,9,1,8,1,11,1,13,1,11,1,9,3,8,1,13,2,6,1,9,2,13,1,10,1,9,4,8,2,9,3,8,1,9,1,8,1,9,1,8,2,13,1,9,2,8,1,16,2,8,2,9,1,8,1,9,2,10,2,9,1,10,1,9,1,11,3,16,2,11,2,10,1,17,2,16,1,17,1,16,1,17,1,9,1,8,1,9,1,7,1,13,2,6,1,30,1,28,17,30,1,28,1,27,1,30,1,28,2,29,1,30,1,28,1,29,1,28,10,29,1,28,1,30,1,28,1,13,1,6,2,8,1,6,2,7,2,8,2,10,2,24,1,10,1,11,1,17,1,10,1,11,1,10,1,12,1,17,1,12,2,9,1,11,1,17,1,10,1,17,1,11,1,12,1,17,4,12,1,9,1,17,1,9,2,13,1,7,1,6,2,13,1,6,1,8,2,24,1,13,2,6,2,29,1,6,1,30,1,28,26,6,1,29,1,30,1,29,1,30,1,28,1,30,1,29,1,28,3,30,1,29,2,26,1,30,1,8,1,29,1,26,1,24,1,12,1,17,1,10,1,12,1,17,3,12,1,17,2,12,1,10,1,17,1,10,1,17,1,9,1,12,1,17,2,12,1,17,1,15,1,17,9,12,1,17,4,12,1,17,34,12,1,13,1,30,1,28,48,30,1,8,1,13,1,29,1,8,1,30,1,29,1,6,2,8,1,13,4,24,2,8,1,24,3,8,1,6,1,30,1,28,22,30,1,28,1,29,1,28,5,30,2,28,2,30,1,28,22,6,1,28,3,30,1,28,23,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,1,29,1,28,2,30,1,29,1,30,1,28,1,27,1,28,1,30,1,28,1,29,1,28,1,29,1,28,1,30,2,6,3,30,1,29,1,7,1,6,2,7,1,6,1,29,1,6,1,29,1,7,1,6,1,7,1,6,1,7,1,8,1,13,1,8,1,7,1,8,1,24,1,13,1,8,1,24,1,6,1,13,1,8,1,13,1,24,2,8,1,24,2,8,2,13,1,24,1,13,1,8,1,6,3,28,1,6,1,28,3,29,1,28,12,30,1,28,1,30,1,28,1,30,1,29,1,28,1,27,1,29,1,7,1,6,1,7,1,30,2,29,1,13,1,8,1,13,3,8,2,24,1,8,2,13,1,24,1,8,1,9,2,8,1,24,2,10,1,8,1,9,1,10,1,24,1,8,1,24,4,10,2,9,2,24,1,9,2,10,1,9,1,24,1,17,1,9,1,11,1,12,1,17,1,16,2,11,1,9,1,33,1,5,256,33,1,5,168,13,1,9,1,13,1,29,1,6,1,7,1,13,1,8,1,13,2,8,1,13,3,7,2,13,1,6,1,24,1,7,1,12,1,9,1,10,1,12,1,10,1,13,1,24,1,9,1,10,1,17,1,13,1,11,1,24,1,11,1,8,1,9,1,10,1,9,1,10,1,11,2,17,1,12,1,17,2,12,1,17,6,12,1,11,1,17,29,16,1,11,4,16,3,17,1,16,4,17,4,16,1,17,2,16,1,17,2,16,1,17,2,16,1,12,1,16,1,17,1,10,1,8,1,24,2,8,1,24,1,8,3,13,1,8,1,6,1,9,1,12,2,9,1,11,3,10,2,11,2,17,1,24,2,8,1,10,1,24,1,8,1,13,4,7,2,8,1,24,4,9,1,8,1,10,1,24,1,10,1,8,1,10,1,12,1,9,1,12,2,17,1,12,1,11,1,12,1,11,1,10,2,9,1,10,1,24,1,10,1,8,1,24,4,9,2,7,1,8,1,10,1,8,1,7,1,9,1,13,1,8,1,29,1,13,1,8,1,7,1,8,2,9,1,13,1,11,1,9,2,11,2,16,1,17,1,16,1,11,1,16,1,17,1,10,1,9,1,13,1,9,2,8,1,9,1,8,3,10,2,9,1,11,4,10,1,11,1,16,1,17,1,11,3,16,1,17,1,16,2,11,1,16,1,11,1,9,1,17,1,9,1,10,1,11,1,16,1,9,1,10,1,16,1,9,4,16,1,9,2,17,1,16,1,11,1,16,2,17,2,16,1,11,4,16,1,17,1,16,3,11,2,16,2,11,3,16,1,17,1,16,5,11,2,17,1,9,1,13,5,8,1,7,1,28,51,30,2,28,2,6,1,30,1,6,1,29,1,13,1,7,1,8,1,7,1,10,1,8,2,9,1,12,1,17,2,9,1,7,1,30,1,28,1,13,1,28,1,6,2,13,1,30,5,28,2,30,1,6,1,30,2,7,1,30,2,29,1,28,1,30,3,29,1,28,5,30,1,28,7,30,1,28,1,30,1,28,38,29,1,30,2,29,1,7,1,6,1,29,1,7,1,30,1,8,1,13,1,6,1,13,2,7,1,13,1,9,3,8,2,9,2,8,1,9,1,10,1,24,1,10,1,9,1,7,1,30,1,13,1,28,111,30,4,7,1,6,1,30,1,13,1,30,2,28,1,7,1,30,1,13,1,7,1,30,1,6,1,7,1,6,2,7,1,13,1,8,1,10,1,9,1,11,1,10,1,17,1,9,3,11,1,9,1,12,1,8,1,10,2,12,1,9,2,11,1,9,2,10,1,9,2,8,1,9,6,10,1,9,3,11,1,9,5,13,1,9,1,8,1,9,1,13,1,8,2,7,1,8,1,13,1,7,1,13,1,28,50,6,1,7,1,28,2,30,1,29,1,30,1,28,2,6,1,28,3,7,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,9,1,8,2,9,2,8,1,9,2,8,1,10,1,17,2,12,1,17,7,12,1,10,1,17,1,12,1,24,1,17,1,12,2,10,1,12,2,9,1,10,2,12,1,17,1,24,1,12,1,24,1,10,1,12,1,24,5,8,2,17,1,12,1,10,1,12,1,9,2,12,1,10,3,17,1,24,1,9,2,12,1,17,1,10,2,9,1,10,1,9,1,12,3,13,1,24,4,8,1,24,1,6,1,10,1,25,2,24,1,25,1,24,1,10,1,25,1,8,1,25,1,8,3,25,1,13,1,12,1,7,1,8,1,24,1,10,2,24,1,17,1,24,1,10,1,24,1,9,1,24,1,17,1,10,1,17,1,12,1,17,2,10,1,12,2,17,1,12,1,11,1,10,1,17,1,12,1,17,1,12,1,10,1,17,4,12,1,17,2,12,2,9,2,24,2,12,1,7,1,27,1,8,1,26,1,25,1,26,2,29,1,27,1,25,1,26,1,29,1,28,1,27,1,30,2,28,64,6,1,29,1,8,3,24,2,10,1,8,2,10,2,9,1,17,4,12,1,17,15,12,1,17,1,12,1,17,1,12,1,17,1,9,1,11,2,8,1,17,1,11,3,10,1,9,1,10,1,9,1,12,2,10,1,17,1,10,1,8,2,10,1,9,1,8,2,9,1,11,1,9,1,12,1,9,1,8,1,12,1,24,1,9,3,8,2,13,1,6,1,29,1,28,1,6,1,13,1,9,1,5,70,30,1,28,13,16,1,17,3,11,1,9,1,6,1,7,1,6,1,29,1,30,1,28,1,30,2,29,1,13,1,24,1,17,2,30,1,28,6,14,1,13,1,30,1,28,1,30,1,28,29,9,1,14,1,12,1,24,1,}, {6,1,28,35,6,1,30,1,6,2,13,1,8,1,13,1,8,2,17,3,11,1,13,1,6,1,13,2,28,1,11,1,17,2,16,1,11,1,9,1,11,1,13,1,15,1,13,1,8,1,24,1,13,1,6,1,15,1,14,1,13,2,6,3,8,2,24,1,15,1,9,1,24,1,10,1,8,1,24,1,10,1,17,1,16,1,17,3,9,1,10,1,24,1,8,1,9,1,13,1,28,12,30,1,28,1,29,1,30,1,28,1,30,1,28,3,30,1,28,2,6,2,8,1,6,1,13,1,8,1,12,1,11,1,17,1,24,1,6,1,30,1,6,1,30,3,13,1,17,2,11,1,9,1,8,1,13,2,9,1,13,2,7,1,8,1,6,1,13,2,8,1,17,1,14,1,9,1,8,1,30,1,28,2,30,1,28,4,30,1,29,2,30,2,28,1,6,1,17,1,11,1,9,1,11,1,8,1,13,1,9,7,8,1,9,3,13,2,8,1,9,3,13,1,9,3,8,1,9,1,7,1,13,2,8,1,9,1,13,2,8,1,7,1,10,1,13,1,8,1,13,2,8,1,9,3,16,1,9,1,16,1,11,1,9,1,13,1,9,3,11,1,9,2,10,1,9,2,11,3,16,1,9,1,11,1,17,3,11,1,17,1,12,1,17,1,9,1,13,1,7,1,13,1,6,1,30,1,28,23,30,2,29,1,30,1,28,2,30,1,28,5,30,2,28,5,30,2,7,2,6,1,13,1,7,5,13,1,24,1,8,1,24,1,12,1,24,1,12,3,9,1,17,1,9,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,4,12,1,17,2,9,1,24,1,8,1,24,1,6,4,7,1,8,1,7,1,8,1,7,1,6,1,7,1,6,2,28,1,6,1,28,26,30,1,29,1,30,1,29,1,6,1,30,2,29,3,30,3,29,1,25,1,29,1,8,1,27,1,8,1,12,1,24,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,1,12,12,17,1,10,1,17,4,12,1,17,5,11,1,17,4,12,2,17,3,10,1,12,1,17,8,12,1,17,8,12,1,17,7,12,1,8,1,6,1,28,40,30,1,28,4,30,1,28,1,6,1,30,1,8,1,6,2,13,1,6,1,8,2,6,1,13,2,8,1,24,1,8,1,24,2,12,1,10,1,9,1,8,1,29,2,28,33,29,1,28,2,30,1,28,6,30,1,28,15,30,1,28,8,30,1,28,2,30,1,28,22,30,1,28,3,29,1,28,1,30,1,28,3,29,1,28,2,30,1,29,1,28,1,30,1,6,1,28,2,6,2,28,1,7,1,30,1,29,1,24,1,6,1,29,1,13,2,7,1,29,1,6,1,28,1,6,1,28,1,6,1,30,2,13,1,7,1,6,1,13,1,7,4,13,1,24,1,8,1,7,1,10,1,24,1,9,1,24,2,10,1,24,1,10,1,24,1,12,1,9,1,12,1,17,1,13,1,7,1,13,1,30,2,6,1,29,1,28,1,30,2,28,3,29,1,28,8,30,1,28,5,29,1,30,1,29,1,28,1,8,1,29,1,7,2,8,1,24,2,8,1,24,2,13,1,24,2,13,1,24,1,7,1,24,2,8,1,13,1,12,1,8,1,9,1,13,1,24,2,12,1,24,3,9,2,24,1,10,1,24,1,10,2,9,1,12,1,10,1,24,2,12,2,9,3,12,1,8,1,11,2,5,428,9,1,13,3,7,1,6,1,13,1,8,1,13,2,9,1,7,1,8,1,6,1,8,1,13,1,7,1,29,1,9,1,10,1,13,1,12,1,9,1,24,1,17,1,10,1,17,1,9,1,10,1,12,1,8,1,10,1,12,1,8,1,9,2,8,1,11,1,9,1,17,1,11,1,12,1,17,1,11,1,17,2,12,2,17,4,12,2,17,1,12,1,17,29,16,1,11,1,17,1,16,2,17,1,16,1,17,3,16,1,17,4,16,1,17,4,16,1,17,6,12,1,10,1,9,1,8,1,11,1,24,1,8,2,13,2,8,1,13,1,7,1,24,2,10,1,8,1,12,1,10,1,17,1,11,1,12,4,9,1,8,1,24,1,13,1,7,1,8,1,24,1,13,1,24,1,7,1,24,1,13,1,12,1,24,3,9,3,10,1,8,1,10,2,11,2,17,1,12,4,9,3,10,1,8,1,24,2,8,1,11,1,8,1,10,1,9,1,10,1,8,1,9,2,8,2,9,1,24,1,13,1,10,1,7,1,13,1,7,1,13,1,8,1,7,1,6,1,13,1,10,1,9,1,11,1,9,1,11,4,10,1,17,1,16,2,11,1,12,1,9,2,13,1,8,3,13,1,9,1,8,1,9,1,8,1,10,2,11,1,9,1,10,1,11,2,9,2,11,3,16,1,10,1,16,5,11,7,10,1,9,1,11,3,16,2,11,1,16,1,11,1,16,2,17,1,11,6,9,1,11,1,16,3,17,1,16,1,11,1,16,4,11,1,16,3,11,1,16,1,11,2,16,2,11,1,10,1,9,1,13,1,8,1,13,5,30,1,28,49,30,1,29,1,30,1,28,1,29,1,28,1,30,1,7,1,29,1,7,2,13,2,6,1,9,1,8,1,9,1,11,1,10,1,13,1,10,1,13,1,7,1,29,1,13,1,6,1,7,1,28,1,30,3,28,4,6,2,29,1,30,1,6,1,29,1,6,1,7,1,6,1,30,1,6,1,7,1,28,1,6,1,30,1,28,1,29,1,28,7,29,1,28,1,30,1,28,6,30,1,28,2,30,3,28,29,6,1,30,2,6,5,29,1,8,1,13,4,9,1,8,1,11,1,9,2,10,1,9,4,13,1,8,1,9,1,13,2,7,1,30,1,6,1,28,117,30,1,13,2,8,1,13,1,6,2,13,2,8,1,13,2,9,3,8,1,9,1,10,2,9,1,11,1,9,4,11,1,10,1,9,1,11,1,10,1,13,1,12,1,10,1,9,1,10,1,8,1,10,1,9,1,8,1,9,1,8,1,9,1,11,1,12,1,9,4,10,1,9,1,11,1,9,1,11,1,10,2,12,1,9,1,12,1,9,1,17,1,9,1,11,1,10,1,11,1,9,1,8,2,9,2,13,2,29,1,28,1,30,2,6,1,28,1,6,1,28,45,6,1,28,2,30,1,28,1,29,1,28,1,30,3,28,1,13,1,28,1,7,1,13,1,6,1,13,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,11,1,8,1,9,2,17,3,11,1,17,2,10,1,12,2,9,1,17,1,10,2,12,4,10,2,17,1,10,1,24,1,12,1,10,2,24,1,10,1,8,1,12,1,13,1,24,5,12,1,24,3,10,1,24,2,12,1,9,1,12,2,17,1,12,1,24,1,17,1,12,1,9,1,24,1,8,1,12,2,24,1,12,2,9,1,24,1,13,1,24,1,8,1,24,1,10,1,8,2,24,2,8,1,24,1,8,1,24,1,25,2,8,1,25,1,24,2,25,1,24,6,12,1,24,1,17,1,8,1,12,1,10,1,12,1,10,1,9,1,12,2,10,1,12,2,10,2,12,1,17,3,9,1,17,2,9,2,17,1,11,1,17,8,12,1,10,1,12,1,24,1,8,2,24,1,8,2,26,1,25,1,24,1,27,1,25,1,27,3,30,4,28,1,30,1,28,63,6,1,30,1,13,1,7,2,13,1,24,1,8,1,24,1,8,1,24,1,8,2,10,1,12,1,17,3,12,1,17,13,12,1,17,4,12,1,17,1,12,1,17,2,8,1,17,1,9,1,12,1,11,1,9,1,10,1,12,2,9,1,8,1,12,1,10,1,8,1,13,1,8,1,9,1,8,1,13,1,8,2,10,1,12,1,10,1,9,1,11,1,9,1,12,1,9,2,10,1,9,1,10,1,8,1,13,4,6,1,30,1,5,72,28,13,17,4,10,1,8,1,13,1,7,2,6,1,29,1,30,1,28,1,6,1,13,2,12,1,11,2,28,6,29,1,17,1,8,1,7,1,28,31,8,1,14,1,9,1,8,1,}, {13,1,28,2,30,1,28,1,30,1,28,7,30,1,28,1,29,1,28,8,30,1,28,12,6,1,30,1,29,2,8,3,9,2,17,3,8,1,13,1,6,2,30,1,8,1,17,2,12,1,9,1,8,1,14,1,9,1,10,1,24,1,13,2,7,1,13,1,14,1,15,1,9,1,13,1,8,1,6,1,8,1,24,1,13,1,24,1,14,1,24,1,9,1,15,1,8,1,10,2,17,5,16,1,11,1,9,2,24,1,8,1,28,1,30,1,28,9,6,2,28,3,29,1,30,1,29,1,28,3,30,3,7,1,13,2,8,1,13,1,17,2,12,1,7,2,28,1,30,3,28,1,7,1,17,3,8,1,13,1,8,1,6,1,13,1,6,4,13,3,9,1,15,1,12,1,14,1,8,1,28,1,30,1,28,4,29,1,28,2,30,1,28,1,6,1,28,2,6,1,11,1,10,1,9,2,10,1,9,1,8,1,9,1,8,1,9,1,13,2,9,1,8,1,9,1,6,1,13,1,16,1,9,1,13,1,9,2,13,2,9,2,13,1,6,1,13,1,8,2,13,1,9,1,8,2,13,1,9,3,13,1,9,1,8,1,16,1,9,1,11,1,10,1,11,1,8,2,13,1,9,1,13,1,8,1,9,1,8,1,10,1,8,1,9,1,10,1,9,4,11,1,12,1,11,1,10,1,17,5,11,1,9,2,8,2,6,1,30,1,28,23,29,1,30,1,28,2,30,1,29,1,28,1,29,1,28,1,30,3,28,11,6,1,13,1,29,1,7,1,6,1,7,1,8,1,13,1,8,4,24,1,9,1,12,1,24,1,9,1,12,2,17,2,10,1,11,1,12,1,17,2,10,1,12,1,17,1,12,1,17,7,9,1,8,1,24,1,8,2,7,1,8,1,13,2,7,1,8,1,24,1,8,2,6,2,7,1,6,1,30,1,28,27,29,1,6,1,29,1,6,2,30,1,6,3,29,1,30,1,29,1,30,1,26,1,30,1,25,1,8,3,10,1,12,1,17,3,12,1,17,1,12,1,17,2,12,3,17,2,12,2,17,2,12,1,17,1,12,2,17,1,12,5,17,2,12,1,17,7,12,1,17,3,12,1,17,17,12,1,17,10,11,1,8,1,13,1,28,43,6,1,30,1,6,1,29,1,13,1,28,1,29,1,13,1,29,1,6,3,8,1,13,1,10,1,13,1,24,1,10,1,8,1,9,1,17,1,10,1,9,1,8,1,30,2,28,12,30,1,28,2,30,1,28,7,30,1,28,3,30,1,28,4,30,1,6,1,28,1,29,1,28,2,30,1,28,2,30,1,28,5,29,1,6,1,28,9,30,1,29,1,28,2,30,1,29,1,28,19,29,1,28,9,30,1,28,1,29,1,28,1,30,3,28,2,30,2,28,1,29,1,28,4,29,1,30,1,6,1,30,1,29,2,6,1,30,1,6,2,8,3,7,3,13,1,6,1,29,1,7,1,6,1,30,1,13,1,29,1,8,1,6,1,8,2,13,1,8,1,24,2,8,1,24,2,8,1,24,1,12,1,7,1,10,2,9,1,12,1,10,1,12,3,17,1,12,1,24,1,6,1,29,3,6,2,30,1,29,1,28,1,30,1,28,8,29,2,28,1,29,1,28,2,30,2,26,1,30,2,28,1,8,2,29,1,6,1,13,1,7,1,13,1,8,3,24,1,13,1,24,1,8,1,24,1,9,1,8,1,9,2,24,1,10,2,8,1,10,1,24,1,12,1,10,1,12,1,10,1,8,1,24,1,12,1,24,4,9,1,10,1,11,1,8,1,12,1,10,1,11,1,24,1,10,1,9,1,12,2,11,1,17,1,11,1,16,1,5,430,13,2,7,3,13,3,7,1,9,1,7,1,13,1,6,1,7,1,29,1,6,1,29,1,13,1,24,1,7,1,10,1,8,1,10,1,12,3,8,1,10,1,12,1,11,1,8,1,11,1,10,1,24,1,8,1,11,1,10,2,12,1,10,1,11,1,17,8,11,1,12,1,11,2,17,1,12,1,17,26,12,1,17,7,11,1,16,2,17,1,16,2,17,4,16,6,11,1,16,1,17,2,11,1,16,3,10,1,13,1,8,1,13,1,9,2,8,1,13,3,8,1,6,1,24,1,10,1,9,1,10,1,11,1,9,1,12,1,9,1,10,1,11,1,9,1,12,1,13,1,8,1,24,1,6,1,24,1,7,1,8,2,13,1,9,1,8,1,24,1,10,1,9,4,24,1,9,2,11,1,12,1,17,4,11,1,10,1,8,1,24,1,12,1,24,1,8,1,10,1,8,2,13,1,24,1,8,1,13,1,24,3,8,1,24,1,13,1,8,2,6,1,13,2,8,1,13,1,8,1,7,1,13,1,8,2,9,1,8,1,9,1,12,1,16,1,11,2,16,1,11,2,16,1,17,2,11,1,12,1,9,2,13,3,8,1,13,1,8,1,24,1,12,1,9,1,8,1,24,1,10,2,9,1,8,1,9,1,11,1,10,1,9,1,11,5,17,1,16,1,11,1,16,1,11,4,16,2,17,1,11,2,16,1,11,1,17,1,10,2,16,2,17,1,11,1,16,1,11,2,9,2,11,2,10,1,16,1,17,1,16,1,17,1,16,1,11,1,16,2,11,1,16,1,11,2,16,1,11,1,16,1,17,1,11,1,16,1,11,3,16,1,11,1,9,1,13,1,6,1,13,2,8,1,13,4,29,1,28,47,30,1,28,3,30,1,28,2,30,3,6,1,7,2,8,1,13,1,24,1,10,1,9,1,8,1,9,1,29,1,6,2,13,2,6,1,30,1,7,2,6,1,28,2,6,1,28,1,29,1,7,1,6,2,28,1,30,1,6,3,7,1,6,4,28,1,6,2,30,1,6,1,30,2,28,1,30,1,29,1,28,1,30,1,28,1,30,1,29,1,28,1,6,1,28,1,30,2,29,1,6,1,28,1,30,1,28,2,29,1,28,2,30,3,28,24,6,1,29,1,30,1,7,2,28,1,6,2,13,2,9,1,13,2,9,3,11,1,10,2,9,1,13,1,10,1,11,1,8,1,9,1,8,1,7,1,6,1,30,1,28,1,30,1,28,118,7,1,6,1,28,3,30,1,29,1,7,1,13,3,9,1,10,1,13,1,8,1,10,1,12,1,9,1,11,1,9,1,10,1,11,1,10,1,11,1,9,1,11,1,9,1,11,1,10,1,12,1,10,1,9,1,11,1,12,1,11,1,17,1,9,1,11,1,10,1,9,1,11,1,8,1,9,3,11,3,12,1,9,1,10,1,9,1,11,1,9,4,12,1,11,1,9,1,10,1,11,1,10,1,11,1,10,1,9,1,8,1,10,1,13,1,8,3,7,2,6,1,13,1,6,1,13,1,6,1,30,1,6,1,28,1,30,2,28,40,30,1,28,4,6,1,7,1,30,1,6,1,30,1,6,1,13,1,7,1,6,1,13,1,29,1,13,1,9,1,8,1,13,1,9,3,8,1,9,3,17,5,11,1,17,2,12,2,9,1,12,1,24,1,10,1,17,1,24,1,17,2,12,6,17,1,12,2,24,1,12,1,24,2,17,1,12,1,24,1,13,1,10,1,24,2,8,1,12,1,9,1,24,1,8,1,10,1,12,2,10,2,17,1,24,1,12,1,10,1,17,1,12,1,17,1,24,2,10,1,12,2,24,1,13,1,24,1,13,1,8,1,24,1,12,1,8,1,24,1,25,3,8,2,24,1,8,1,24,1,8,1,25,2,26,1,24,4,17,1,24,1,8,1,10,3,12,1,24,1,9,1,12,2,24,1,17,1,24,2,11,1,9,1,17,1,12,1,17,1,12,2,9,1,12,1,10,1,11,1,12,1,17,3,9,1,17,7,12,1,10,2,13,1,24,2,25,1,8,2,25,2,27,1,25,2,29,1,26,1,27,1,30,1,26,1,27,1,28,2,30,1,28,7,30,1,28,54,29,1,28,1,13,1,7,1,6,1,24,3,8,1,10,1,24,1,8,2,12,1,9,1,17,11,11,1,17,4,12,1,10,1,17,4,12,1,17,2,10,1,12,1,17,2,11,1,17,1,11,2,9,3,11,1,12,1,8,1,12,1,13,2,7,1,13,1,9,2,8,1,12,1,8,1,12,1,9,2,8,1,24,1,10,1,12,1,17,1,8,1,9,1,8,2,13,1,7,1,29,1,30,1,6,1,5,73,28,7,30,1,28,5,9,1,17,4,8,1,30,1,29,3,28,1,29,1,28,1,29,1,7,1,13,1,11,2,12,1,6,1,28,5,7,1,17,1,8,1,28,1,29,1,28,30,24,1,14,1,10,1,9,1,}, {13,1,30,1,28,3,30,1,28,2,29,1,28,6,7,1,28,3,6,1,28,1,30,1,28,4,30,1,28,1,29,1,28,5,30,1,28,1,6,1,13,1,28,1,30,1,8,2,13,1,24,1,9,1,12,1,17,2,11,1,8,1,13,1,6,2,13,1,9,1,17,3,16,1,9,1,8,1,16,1,9,2,15,1,8,1,7,1,8,1,17,2,9,1,13,2,6,2,8,1,13,1,9,4,8,1,9,1,24,1,12,1,16,1,17,3,16,1,17,1,11,1,8,1,12,1,8,1,24,1,28,4,30,1,28,2,30,1,28,11,30,3,28,1,30,1,7,1,13,1,8,1,7,1,13,2,12,1,17,1,12,1,7,2,30,1,28,1,30,1,29,1,28,1,13,1,17,2,12,1,13,3,7,1,13,1,7,1,6,2,29,1,13,1,30,1,8,2,17,2,16,1,29,1,28,7,30,1,28,1,30,1,28,4,13,1,9,8,11,1,8,2,11,1,9,2,13,1,11,2,9,3,8,2,9,1,8,1,9,1,13,1,9,1,13,3,9,1,13,1,8,1,13,1,9,1,6,1,13,1,6,1,29,1,6,1,8,1,13,1,8,1,13,2,9,1,8,1,9,3,13,1,11,1,9,1,13,1,9,8,17,1,16,1,9,1,11,1,17,4,11,1,17,1,9,1,11,1,8,1,6,1,28,30,30,1,28,1,30,1,28,18,7,1,8,1,7,1,29,1,7,1,6,1,13,1,8,1,24,3,10,1,12,3,9,1,17,1,10,1,11,1,10,1,12,2,17,1,10,1,17,1,9,1,17,3,12,1,17,4,10,1,9,3,13,2,7,1,6,1,13,1,8,2,24,1,6,1,13,2,8,1,6,1,7,1,28,1,6,1,28,26,29,1,30,1,29,1,6,1,7,1,30,1,29,1,6,2,29,1,30,1,29,1,6,2,25,1,29,1,25,1,13,1,7,1,24,1,10,1,12,1,17,3,12,2,17,3,9,1,17,2,10,1,9,1,12,1,10,1,12,3,17,3,12,1,17,21,12,1,17,5,12,1,17,4,12,3,17,1,12,3,17,6,12,1,17,2,12,1,8,1,29,1,28,37,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,3,7,1,6,1,13,1,8,2,13,1,9,1,8,2,9,2,10,1,12,1,17,1,12,1,24,1,6,1,29,1,28,17,29,1,28,5,30,1,28,12,30,4,29,1,28,2,29,1,30,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,15,30,1,28,3,30,1,28,2,30,1,28,15,30,2,28,1,30,1,28,1,30,1,29,1,28,1,29,1,28,2,29,1,30,1,28,1,30,1,28,1,27,1,28,4,30,1,29,1,28,1,6,1,28,1,6,1,30,1,6,1,7,1,29,1,8,1,7,1,24,1,6,1,13,1,7,1,28,1,29,1,13,1,7,1,29,1,7,1,8,1,7,1,8,1,24,3,13,2,8,1,24,1,12,1,24,1,12,1,24,1,12,1,24,1,10,1,12,1,9,1,24,1,12,1,17,1,10,1,8,2,13,1,24,1,8,1,13,1,6,2,28,1,29,1,28,2,30,1,28,1,30,1,28,4,29,1,28,6,30,1,28,2,29,1,30,3,6,1,29,1,7,1,8,1,6,1,25,1,7,1,13,1,8,1,13,1,24,1,8,2,24,1,9,1,24,1,9,2,24,2,8,1,10,2,12,1,24,1,12,1,24,1,12,1,8,1,24,2,9,1,12,1,24,1,8,1,24,1,12,1,9,1,10,1,9,1,12,1,9,1,10,1,12,1,8,1,12,1,10,1,11,1,12,1,11,2,17,1,16,1,5,431,13,1,6,1,13,1,6,1,29,1,7,2,8,1,6,1,13,8,8,1,10,1,8,2,24,2,11,1,12,2,11,1,17,1,10,2,13,1,12,1,11,1,13,1,9,3,11,1,12,2,17,1,12,1,17,2,12,1,17,1,12,2,17,4,12,1,17,1,12,1,17,34,16,1,17,1,16,1,17,1,16,1,17,3,16,2,11,3,10,1,16,1,9,1,16,4,17,2,16,1,17,1,16,1,8,1,13,1,9,2,24,1,8,1,9,1,8,2,13,1,8,3,12,1,10,1,9,1,11,1,10,1,16,1,11,1,9,1,11,1,24,1,8,1,13,3,8,2,9,1,8,1,24,1,9,1,10,1,8,1,12,1,10,1,9,1,24,1,10,2,17,1,11,1,17,1,12,1,17,2,12,2,10,1,9,3,13,1,8,1,24,1,8,1,13,2,24,3,13,1,24,1,8,1,10,1,13,1,8,1,13,1,8,2,24,1,9,1,8,1,24,1,13,1,8,1,13,2,8,1,9,2,24,1,9,1,11,2,16,1,11,5,16,1,17,1,11,1,9,1,8,2,13,4,8,1,13,2,10,1,13,1,24,1,8,1,11,1,9,1,10,1,9,1,10,1,9,1,17,1,9,2,11,1,9,1,11,1,16,1,11,2,16,2,11,3,16,1,11,2,17,2,16,1,11,1,17,1,16,1,9,1,11,4,9,1,11,1,9,1,11,1,9,1,11,1,10,1,16,1,10,1,16,1,11,2,17,1,16,2,11,2,16,7,11,1,16,3,17,1,11,3,9,1,13,1,6,1,7,1,8,3,13,1,8,1,24,1,8,1,28,57,30,2,29,2,7,1,8,1,7,1,8,1,24,1,8,1,30,1,28,2,24,1,8,1,7,2,6,1,30,1,6,2,30,1,7,1,30,1,13,1,28,1,30,1,6,1,29,1,6,1,7,1,6,1,7,1,6,1,28,1,6,1,13,1,6,1,13,1,30,1,29,1,6,2,30,2,6,1,28,1,6,1,30,2,29,1,30,1,28,1,13,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,4,30,1,28,1,29,1,28,22,30,1,28,3,29,1,30,1,7,2,13,1,6,1,13,1,6,1,9,3,11,1,9,2,11,1,10,1,11,1,9,1,8,2,9,1,8,1,13,2,6,1,28,1,30,2,28,126,30,1,28,2,7,1,6,1,28,1,7,1,13,1,9,2,11,1,9,1,10,1,17,1,9,1,10,1,9,2,10,1,12,1,9,2,11,3,9,3,11,1,10,1,11,1,9,2,10,1,9,1,10,2,11,1,9,1,11,4,10,1,17,1,13,1,11,2,9,4,10,1,9,1,12,1,10,1,9,1,10,1,12,1,9,3,10,1,9,2,13,1,9,3,13,1,8,1,13,3,6,1,13,1,29,1,6,1,28,1,6,1,30,1,29,1,30,1,28,22,30,1,28,17,30,1,28,1,30,1,29,1,7,2,6,1,13,2,7,1,6,1,13,2,9,1,13,3,9,1,8,1,9,4,17,5,12,1,17,2,12,1,17,1,12,1,17,1,10,2,12,1,17,1,12,1,17,2,12,3,10,1,12,2,10,1,24,5,9,1,24,1,8,1,24,4,8,1,9,1,12,1,13,1,24,1,8,1,17,1,10,1,17,1,24,1,17,3,12,2,17,1,10,1,11,1,12,1,10,1,24,1,9,1,24,1,9,1,8,1,24,2,8,1,24,1,8,1,24,2,8,4,24,1,6,1,24,1,8,1,24,3,8,1,24,1,25,1,13,1,8,1,10,1,17,1,12,1,8,1,24,1,10,1,11,1,8,1,12,1,10,1,17,1,24,1,12,1,10,1,17,1,11,1,17,1,9,1,17,4,10,1,17,1,11,1,17,1,10,2,17,2,9,1,12,1,17,1,11,1,17,2,12,1,24,1,10,1,8,2,25,2,27,1,29,1,25,1,29,1,27,1,25,2,27,1,26,1,30,2,27,1,30,1,27,1,28,1,30,1,28,63,30,1,7,2,13,1,8,1,7,1,24,1,12,1,8,2,10,1,8,1,10,1,24,2,17,9,12,1,11,2,10,1,17,1,9,1,11,1,9,1,17,1,12,2,17,4,12,1,17,2,12,1,17,1,12,3,11,1,17,1,10,1,9,2,8,1,9,1,8,2,24,1,13,2,9,1,8,1,17,1,8,1,12,1,9,1,13,1,8,1,10,1,9,2,10,1,8,1,13,1,9,1,8,1,7,2,13,2,5,74,28,5,30,1,28,6,8,1,11,1,17,3,9,1,13,2,29,2,30,1,29,1,28,2,30,1,13,1,9,1,17,2,9,1,28,6,13,1,17,1,6,1,29,1,28,2,30,1,28,28,12,1,11,1,12,1,13,1,}, {13,1,28,14,30,2,28,2,29,1,28,1,6,1,28,1,30,3,28,4,30,1,28,4,29,2,6,3,13,1,8,1,24,1,9,2,17,4,8,1,13,1,7,1,6,1,13,1,8,1,17,2,16,1,17,1,9,2,15,1,17,1,9,1,24,1,13,1,8,1,6,1,17,1,14,1,8,2,13,1,6,1,13,1,6,1,13,1,24,1,9,2,8,1,9,1,8,1,9,1,17,7,12,1,24,1,12,1,9,1,24,1,6,1,30,1,28,13,30,1,28,5,29,1,6,1,28,1,30,1,13,1,8,1,6,1,8,1,7,1,12,1,11,1,17,1,24,1,29,1,30,4,28,1,7,1,12,1,11,1,9,1,11,1,13,1,6,1,9,1,13,2,6,1,13,1,8,1,7,2,6,1,8,1,12,1,16,2,8,1,28,1,30,4,28,2,30,1,28,1,30,1,28,3,30,2,17,1,10,3,12,1,9,1,8,1,11,1,8,1,9,2,13,1,9,1,13,1,9,2,8,1,13,1,9,3,13,2,9,2,8,1,11,1,10,1,8,1,13,1,8,1,9,1,6,1,7,1,13,3,6,1,13,4,8,1,13,1,11,1,9,5,13,1,9,2,8,1,9,3,11,1,9,3,8,2,12,1,17,4,16,1,17,1,11,1,16,1,11,1,6,1,28,30,30,1,28,20,30,1,28,2,30,1,7,1,6,2,7,1,13,2,24,1,8,1,24,2,12,1,9,2,11,1,10,1,12,2,10,2,9,1,11,1,17,1,12,1,17,1,11,2,12,1,17,4,11,2,9,1,10,3,13,2,6,1,8,1,24,1,13,1,7,1,8,1,6,1,13,1,6,1,30,1,7,1,30,1,28,28,7,1,30,1,6,2,13,1,7,2,6,1,29,1,6,1,29,1,30,1,6,1,7,1,8,1,7,1,8,1,9,1,24,1,12,1,17,1,12,1,17,1,12,1,17,3,12,3,9,1,17,1,12,1,10,1,12,1,17,3,10,1,12,3,10,1,12,2,17,17,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,4,12,2,17,6,12,1,24,1,28,42,29,1,28,1,13,1,6,1,13,1,7,1,13,1,7,2,13,1,8,3,24,4,11,1,9,1,17,2,9,2,7,1,28,2,30,1,28,13,30,1,28,3,6,1,30,2,28,8,30,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,6,1,29,1,28,1,6,1,28,1,29,1,28,1,30,1,28,2,30,1,28,3,29,1,28,5,29,1,30,1,28,1,6,1,28,1,29,2,28,8,30,2,29,1,28,2,29,1,28,4,30,1,28,1,30,1,27,1,30,3,29,1,28,1,30,1,28,1,29,2,28,3,29,1,27,1,30,1,25,1,29,1,6,1,30,1,29,1,30,1,6,2,30,1,25,1,7,1,24,1,8,1,12,1,13,1,7,1,13,1,6,1,8,1,29,1,6,1,8,2,13,1,8,3,10,1,8,1,24,2,10,1,24,1,17,1,10,2,12,2,24,1,12,1,24,1,9,1,12,1,10,3,8,1,10,1,24,1,30,1,7,1,6,2,29,2,28,1,30,2,27,1,28,2,30,1,28,1,30,1,28,4,30,1,28,2,30,3,28,1,29,1,30,1,27,1,25,1,6,2,25,1,6,1,13,1,8,3,24,3,13,1,24,4,12,1,24,1,9,1,12,1,9,3,24,1,10,1,9,1,24,2,12,1,24,1,12,2,17,1,9,1,12,1,24,1,8,1,9,1,12,1,9,2,12,1,9,1,10,1,9,1,10,1,12,1,9,2,11,1,17,1,5,433,9,1,8,1,9,1,7,1,8,1,13,3,7,1,30,1,7,2,13,1,30,1,13,1,7,1,13,1,7,1,9,1,24,1,10,1,9,2,17,1,12,3,11,1,12,1,24,1,9,1,10,1,9,1,13,1,11,1,13,1,10,1,11,1,10,1,12,1,17,2,12,1,17,3,11,1,17,2,11,1,17,4,12,1,17,29,12,1,17,7,11,1,17,2,16,1,11,1,16,2,9,4,11,1,9,1,10,1,11,1,16,3,17,2,16,2,11,1,9,1,6,1,13,1,8,2,9,2,24,1,9,1,8,1,30,1,13,1,9,1,11,1,9,3,10,1,11,2,17,1,12,1,17,1,12,1,10,1,9,1,10,1,11,1,9,3,11,1,10,1,11,2,10,1,17,1,12,1,17,4,11,1,17,2,12,1,9,1,11,1,10,2,9,1,24,1,10,1,7,1,8,1,13,2,8,2,7,1,8,2,24,2,8,1,13,1,7,1,24,1,13,1,24,1,9,1,13,1,24,1,8,1,13,1,7,1,13,1,6,2,8,1,24,1,9,2,11,3,16,1,11,1,16,1,11,1,17,1,16,1,17,1,11,1,10,1,13,1,9,1,8,1,7,1,13,4,8,1,24,1,9,1,13,1,10,1,9,5,10,1,9,1,11,3,9,1,11,3,17,1,11,1,16,1,11,1,16,2,17,2,11,1,17,2,16,3,9,1,13,4,9,2,11,2,10,1,9,1,11,1,10,1,11,1,16,1,10,1,11,1,16,2,11,1,16,1,11,1,9,2,16,1,11,2,16,1,11,1,16,3,11,1,16,2,11,1,16,2,9,1,13,4,8,1,6,1,8,1,13,1,8,1,9,1,8,1,28,51,30,1,28,1,29,1,28,5,6,2,7,1,6,1,13,1,6,2,28,3,29,1,13,2,29,1,13,2,6,1,29,1,6,1,28,1,6,3,13,1,30,1,6,1,7,1,6,3,30,1,6,1,28,1,30,1,13,1,6,1,7,1,30,1,7,1,13,1,6,1,30,1,6,1,30,1,6,2,30,1,6,2,28,1,30,2,28,1,6,1,30,1,28,4,30,1,28,1,30,2,28,2,6,1,28,1,30,2,28,18,30,3,28,1,6,2,7,1,8,1,7,2,13,1,7,1,8,1,11,1,9,1,11,1,17,1,9,3,8,1,9,3,13,1,9,1,29,1,30,1,28,2,30,1,28,135,30,2,6,1,30,1,7,1,13,1,7,1,13,2,9,2,8,1,9,3,11,1,9,2,8,1,12,1,9,2,11,1,9,1,12,1,9,2,10,1,9,2,11,1,9,4,11,1,9,1,17,1,9,1,11,1,9,3,11,2,8,1,9,1,11,1,9,1,17,1,9,1,10,1,11,2,9,1,11,1,13,1,9,1,8,1,9,2,8,3,13,2,8,1,13,1,9,1,30,1,13,1,7,1,13,1,6,2,30,1,6,1,30,2,6,2,28,1,29,1,28,1,30,1,28,7,30,1,28,7,30,1,28,18,30,1,28,2,30,1,7,1,6,1,13,1,30,1,6,1,9,1,6,1,13,1,9,1,13,1,8,1,9,1,8,1,10,2,9,1,13,1,17,4,12,1,17,2,12,1,17,1,11,1,24,1,17,1,12,1,10,1,17,1,12,1,17,1,12,1,17,1,12,1,17,4,8,1,10,1,12,1,24,2,8,2,24,4,12,1,8,1,24,1,8,1,10,1,12,1,24,1,17,1,12,1,10,1,17,3,9,1,24,1,9,2,17,1,24,1,17,3,12,1,24,1,12,1,8,1,24,1,13,1,12,1,25,1,8,1,24,2,8,2,24,2,25,1,12,2,24,2,25,1,8,1,25,1,8,2,12,1,8,1,9,1,8,2,24,1,12,1,10,1,9,1,10,1,12,2,10,1,12,1,10,1,17,1,9,1,12,3,11,1,12,3,11,1,12,1,17,2,10,1,17,1,10,1,17,2,9,1,17,2,12,1,10,1,12,1,10,1,17,1,8,1,24,1,25,1,26,1,8,1,25,1,8,1,25,1,27,1,25,2,27,2,29,2,27,1,30,1,28,1,30,2,28,1,30,1,28,5,29,1,28,57,29,1,6,1,7,2,8,2,13,1,24,1,13,1,24,1,10,1,24,2,9,1,17,12,11,1,10,1,9,1,10,1,8,1,11,1,10,1,11,1,12,1,17,1,12,1,17,1,12,1,10,1,12,1,17,1,24,1,17,1,11,1,12,2,17,1,12,2,13,1,9,2,7,1,12,1,9,1,13,1,9,1,13,1,24,1,11,1,24,1,9,2,13,1,9,2,10,2,13,1,8,2,9,1,8,1,13,1,6,1,13,2,5,74,28,12,30,1,10,1,17,2,10,1,9,2,13,1,7,1,13,1,30,1,6,1,29,1,28,2,6,1,13,1,17,3,29,1,28,5,13,1,12,1,6,1,28,1,6,1,7,1,29,1,28,28,15,2,12,1,13,1,}, {6,1,30,2,28,5,30,1,28,8,30,1,28,3,30,1,28,3,30,1,28,10,29,1,30,1,29,1,6,1,13,1,9,1,8,1,12,1,16,1,11,1,17,2,16,1,8,1,13,1,8,2,13,2,17,4,10,1,17,1,11,1,9,1,15,1,9,1,13,1,6,1,13,1,9,1,17,1,12,1,7,1,29,1,6,1,13,3,24,1,9,1,15,1,8,1,9,1,13,1,9,1,10,1,17,3,16,1,17,1,11,1,12,1,9,1,8,1,24,1,13,1,7,1,28,10,29,1,28,4,29,2,28,2,30,1,28,3,29,2,8,1,24,1,6,1,13,1,10,1,17,1,12,1,13,1,6,1,13,1,6,1,28,2,30,1,13,1,17,1,11,1,17,1,10,1,8,1,13,1,8,1,9,1,8,2,6,1,13,4,8,1,12,1,9,2,6,1,28,1,30,1,28,9,30,1,28,2,30,1,9,1,12,1,9,1,17,1,9,3,8,1,9,1,8,1,11,1,9,1,8,1,11,1,8,1,9,4,13,1,8,2,13,1,9,1,8,1,9,1,8,1,13,1,10,1,7,1,13,2,6,1,7,1,13,1,7,1,13,4,8,1,13,1,8,1,9,2,8,1,9,1,8,2,13,1,9,1,8,2,11,1,9,2,10,1,9,4,10,1,11,1,12,2,17,3,12,1,9,2,13,1,28,59,29,2,13,1,7,1,8,2,24,1,8,1,12,4,17,1,12,1,11,2,12,2,11,1,17,1,11,1,12,1,11,1,12,1,17,2,12,1,17,2,11,2,12,1,11,1,8,1,9,1,8,4,6,1,13,1,7,1,24,1,6,1,13,1,8,1,30,1,28,1,30,1,28,27,6,1,29,1,6,1,8,1,13,2,7,1,6,2,7,1,8,1,6,1,8,1,7,3,24,1,8,1,24,1,12,1,17,2,9,1,17,1,12,1,17,6,12,1,17,1,12,1,24,1,17,2,24,1,12,2,17,1,12,3,10,1,17,2,12,1,17,23,12,3,10,1,11,1,9,1,12,2,17,1,9,1,17,1,10,1,17,4,12,2,11,1,16,1,17,2,13,1,6,1,30,1,28,39,6,1,30,1,28,1,29,1,6,1,7,1,6,1,29,1,8,5,10,1,9,1,24,2,17,1,12,1,17,1,10,1,24,1,9,1,13,1,28,16,30,1,28,4,30,1,28,1,29,1,28,2,6,1,28,2,29,2,28,1,29,1,30,1,29,1,28,1,29,1,28,2,30,2,28,1,6,2,28,3,6,1,29,1,28,1,30,1,29,1,30,1,6,1,28,1,30,1,29,1,28,3,30,1,28,3,30,2,28,2,29,3,28,2,29,1,28,3,30,1,28,2,30,1,28,6,30,1,28,1,30,2,28,1,29,1,30,1,29,1,30,1,28,1,26,1,28,1,29,1,28,1,29,1,30,5,26,1,29,1,28,2,30,2,29,1,6,1,29,1,7,2,6,1,13,1,6,1,28,1,13,1,29,1,6,1,30,1,24,1,10,1,24,1,8,2,7,1,13,2,6,1,8,2,6,1,10,1,24,3,12,2,8,1,24,1,12,1,10,2,9,1,12,1,17,1,9,1,12,2,10,1,12,1,10,1,12,2,24,1,8,1,13,1,8,1,6,1,7,2,29,1,30,1,29,1,30,2,28,2,30,1,28,1,30,3,27,1,29,1,28,1,30,2,29,1,28,2,30,1,28,1,27,2,29,1,6,2,7,2,25,1,8,1,24,1,8,1,24,2,10,1,24,3,8,1,12,1,10,1,24,1,10,2,12,1,9,1,12,3,10,1,17,1,10,1,12,2,24,1,11,1,10,1,24,1,9,2,10,1,12,1,9,2,10,1,9,1,12,1,10,1,11,1,10,1,9,2,17,2,16,1,5,434,9,1,13,3,6,1,13,2,9,1,13,1,8,1,24,1,13,1,6,1,13,1,7,2,6,2,9,1,13,1,8,2,9,1,12,1,11,1,17,1,12,2,17,1,11,1,13,1,8,1,17,1,13,1,24,1,11,1,10,2,11,3,12,2,17,3,12,1,17,1,11,1,17,2,12,1,17,37,11,1,17,6,16,4,11,1,10,1,8,1,9,2,16,1,11,2,16,1,17,1,11,1,16,1,17,1,16,1,17,2,11,1,9,1,24,1,8,3,9,2,8,1,13,1,6,1,8,1,10,1,11,3,16,1,17,1,11,1,16,1,17,8,11,1,17,5,12,1,17,3,12,1,17,1,10,1,17,3,12,1,10,1,9,1,11,1,24,2,7,1,8,1,13,3,8,1,24,1,13,1,24,1,13,2,8,2,13,3,7,1,6,1,24,1,8,1,10,1,8,1,13,1,8,1,24,1,13,1,7,2,8,1,13,1,8,1,11,1,12,1,11,1,10,1,11,1,16,1,11,3,17,1,11,3,9,1,8,1,13,2,7,1,13,2,8,1,13,1,8,2,13,1,8,3,9,3,12,1,9,1,11,1,9,1,11,1,9,3,17,1,16,2,11,1,17,1,11,3,16,1,11,1,17,1,16,1,11,1,16,1,8,1,13,3,9,1,13,1,9,3,11,1,8,1,9,1,11,1,10,1,11,1,16,1,11,1,16,4,11,1,16,1,11,3,16,1,11,2,16,6,11,4,9,1,13,6,8,2,9,1,24,1,8,1,13,1,28,56,30,1,6,1,28,2,13,1,30,1,13,1,6,1,28,4,6,1,30,1,8,1,13,1,30,1,6,1,29,1,13,1,6,2,7,1,6,2,8,1,13,1,30,1,6,1,29,1,30,1,6,1,13,1,6,1,29,1,13,1,6,4,30,1,13,1,6,1,30,1,29,2,6,1,28,1,7,1,28,2,30,1,6,1,29,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,28,6,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,13,30,1,29,2,28,1,30,1,6,1,13,1,6,1,13,4,8,1,11,2,9,1,11,1,13,1,9,4,8,1,13,1,10,1,13,2,28,1,29,1,28,143,30,4,6,1,7,1,29,1,7,1,6,1,13,3,8,1,9,1,13,1,9,1,8,1,9,2,10,1,9,2,10,1,9,2,8,1,10,1,11,1,9,2,10,1,11,2,9,1,10,1,8,1,9,1,11,1,9,3,11,1,9,3,11,1,10,1,12,1,9,1,11,1,10,1,9,1,12,1,11,1,8,1,9,5,11,1,9,1,13,1,9,1,13,1,8,2,13,4,7,1,13,1,8,1,7,1,6,2,29,1,30,1,6,5,29,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,7,1,29,1,28,22,30,1,28,1,13,1,7,1,6,1,30,1,13,1,8,1,13,1,9,1,13,2,9,2,10,1,9,1,8,1,9,1,17,6,12,1,17,1,12,1,11,1,12,1,17,5,8,1,12,3,17,1,12,1,24,1,12,1,24,1,12,1,8,2,24,3,12,1,8,1,10,1,24,2,12,3,10,2,24,1,17,2,12,2,17,2,24,1,10,1,9,1,17,2,11,1,10,2,8,1,24,1,9,1,8,4,25,2,8,2,10,1,8,2,24,1,6,1,25,2,8,3,24,1,25,1,24,1,8,1,7,1,8,1,10,1,8,2,10,1,24,1,12,1,9,1,24,1,12,2,9,1,10,1,24,1,9,1,12,1,17,1,12,1,17,1,9,1,11,1,17,3,8,1,10,1,11,1,10,2,12,1,10,1,12,1,17,1,10,1,17,1,10,1,17,1,12,1,24,1,10,1,8,1,12,1,26,1,25,1,8,2,25,1,30,1,25,2,30,1,27,3,25,1,29,1,28,9,29,1,28,60,8,1,6,1,13,1,25,1,8,1,24,1,10,1,9,1,8,1,9,1,8,1,24,1,8,1,10,1,17,7,11,1,17,1,9,1,12,1,9,1,11,1,9,1,8,1,10,1,11,1,9,1,12,1,10,1,8,1,12,1,11,1,10,1,11,1,9,1,12,1,11,1,12,1,24,1,12,1,17,1,12,1,9,1,17,1,9,1,11,1,8,2,13,1,7,1,24,1,12,3,9,1,10,1,8,2,13,1,11,1,10,1,24,1,8,3,9,2,13,2,29,1,30,1,13,1,5,74,28,12,29,1,13,1,17,2,16,1,11,1,13,1,8,1,30,1,28,5,6,2,13,1,9,1,17,1,10,1,28,6,9,1,8,1,13,1,28,1,6,2,30,1,28,28,15,1,14,1,24,2,}, {24,1,28,1,29,1,28,3,30,1,28,10,30,1,28,2,30,1,28,1,30,1,28,11,30,1,28,1,29,1,7,1,6,1,13,1,7,1,9,1,12,1,24,1,12,1,16,1,17,3,13,1,8,1,7,1,8,1,7,1,9,1,17,4,16,1,17,2,12,1,24,1,9,1,13,1,7,1,8,1,10,1,17,1,8,2,6,3,13,1,7,1,9,1,15,1,9,1,24,2,9,1,8,1,11,1,17,4,12,1,17,2,24,1,8,1,9,1,13,1,6,1,28,14,7,1,28,4,30,1,28,1,30,1,29,1,28,1,13,1,9,1,24,1,30,1,8,1,10,1,12,1,9,1,8,1,13,1,29,1,6,1,28,1,30,2,24,1,12,1,17,2,12,1,11,1,8,1,12,1,10,1,8,1,13,1,8,1,7,1,13,3,9,1,12,1,11,1,8,1,7,1,30,1,28,8,30,1,28,4,29,1,24,1,11,1,9,1,8,1,9,1,8,1,9,2,10,1,9,1,13,2,8,1,9,2,8,1,13,1,8,2,9,2,8,4,11,1,8,1,13,3,7,1,30,1,6,1,13,3,7,1,8,1,13,1,7,1,8,2,13,1,9,1,8,1,9,8,8,1,9,1,11,1,9,2,11,1,9,2,11,1,17,1,12,1,17,3,9,1,11,1,9,1,29,1,28,60,7,1,28,1,29,1,7,2,30,1,9,1,8,1,9,1,12,1,9,1,10,1,12,3,17,4,12,1,17,1,11,1,17,3,12,1,11,1,17,1,9,1,11,2,10,1,9,1,10,1,9,1,8,2,24,1,8,1,6,1,8,3,30,1,29,1,30,2,28,28,30,1,6,2,13,2,7,2,8,2,24,1,8,1,24,2,8,1,24,1,7,1,8,2,24,1,10,1,12,1,9,1,17,5,12,1,17,1,12,1,17,3,12,1,10,1,12,1,24,2,17,1,12,1,17,4,12,1,17,3,12,1,17,22,12,2,17,1,10,1,9,1,10,1,12,1,9,1,12,5,17,1,12,2,17,1,12,1,11,3,17,1,12,2,29,1,30,2,28,27,29,1,28,8,30,1,28,1,30,2,6,1,30,1,29,3,13,1,7,1,13,3,8,2,10,1,9,2,10,1,12,1,17,1,10,1,7,1,13,1,29,1,28,16,30,1,28,3,29,1,28,1,6,1,28,1,30,2,6,1,30,1,28,2,30,1,29,1,30,1,28,1,29,1,28,2,29,1,28,2,29,1,30,1,6,1,29,2,13,1,6,1,30,2,29,3,30,1,29,1,28,3,29,1,28,1,30,1,28,2,30,1,28,3,29,1,28,1,29,1,28,1,6,2,30,1,29,2,28,1,27,1,28,6,30,1,28,1,30,1,29,1,28,1,30,2,28,1,29,1,27,1,30,1,28,1,30,2,29,1,28,1,30,1,29,1,27,1,30,2,27,1,28,2,29,1,27,1,29,1,25,1,8,1,25,2,30,1,25,1,29,1,13,1,6,2,13,1,29,1,8,1,13,1,6,1,8,2,12,1,8,1,13,1,7,1,13,1,8,2,6,1,24,1,8,1,24,2,8,2,10,1,9,1,24,2,12,1,24,1,17,1,24,1,12,1,10,1,12,2,17,1,10,1,9,1,24,1,10,1,12,1,13,1,7,1,8,1,7,1,6,2,7,2,6,2,30,1,29,1,28,2,30,1,29,1,30,1,28,1,30,2,29,3,30,1,29,1,30,1,29,1,27,2,25,1,30,1,6,1,25,1,7,1,25,1,8,1,6,1,24,7,9,1,24,1,10,1,24,1,12,1,9,1,10,2,11,1,12,1,9,1,17,1,9,1,13,1,12,1,11,1,9,1,12,1,10,1,17,1,12,1,10,1,12,1,11,1,10,2,11,1,12,1,9,2,10,1,11,1,10,1,17,1,11,2,16,2,5,437,6,1,8,1,13,3,24,1,7,1,13,3,9,1,13,1,29,1,7,1,13,2,6,2,8,1,9,1,11,1,9,1,12,2,11,1,17,2,11,1,12,2,11,1,12,1,11,1,8,1,9,3,12,1,11,1,10,1,17,2,12,2,17,1,11,2,10,1,17,1,12,2,17,1,11,1,17,40,16,1,17,1,16,1,17,1,16,1,9,1,11,2,8,1,11,1,9,1,16,4,17,1,11,2,16,1,17,1,16,1,17,3,16,1,9,2,8,1,10,1,11,1,10,1,13,1,8,1,11,1,16,2,17,3,10,1,17,14,11,1,17,2,12,1,11,1,12,1,17,6,10,2,9,3,24,1,8,3,13,1,8,1,24,1,8,1,7,2,24,1,8,1,13,1,8,1,24,1,8,2,7,1,13,1,8,1,24,1,7,1,24,1,13,1,8,3,6,2,24,1,13,2,9,1,11,2,9,1,16,1,9,2,11,1,16,1,17,1,11,2,9,1,13,3,8,1,13,1,6,1,8,1,24,1,13,1,8,1,13,1,24,1,13,1,9,2,13,1,9,2,10,1,9,3,11,1,10,2,11,1,16,1,11,2,16,5,11,2,16,1,11,2,9,1,8,1,13,1,6,1,9,1,8,1,9,6,11,1,10,2,11,3,16,1,17,1,16,5,11,2,16,1,11,4,16,2,17,1,16,1,11,1,16,1,11,1,10,1,11,1,8,1,13,2,8,1,7,1,8,1,13,2,9,1,8,4,28,2,30,1,28,55,6,1,28,1,6,1,29,1,7,1,30,1,28,2,30,1,29,2,28,2,8,1,7,1,6,4,30,1,7,1,13,1,6,1,29,1,6,1,30,1,13,1,7,2,6,1,7,1,6,3,13,2,7,1,6,2,29,1,7,1,6,1,30,1,7,1,6,2,28,1,30,2,29,1,30,1,28,2,29,1,28,11,30,1,28,19,30,2,6,1,30,1,29,1,6,1,13,4,9,1,11,4,9,5,11,1,8,1,9,1,8,1,13,1,6,1,28,1,30,1,28,143,30,1,28,3,29,2,6,1,30,1,28,2,7,1,13,2,6,1,8,1,13,1,9,2,10,1,13,1,9,2,8,4,9,1,10,1,8,1,9,2,13,1,10,1,9,1,13,1,9,1,13,1,8,1,9,1,8,3,13,3,9,1,8,1,9,1,13,1,8,1,13,2,8,1,9,1,7,1,9,1,13,1,9,6,8,1,9,4,13,1,7,1,8,2,13,1,9,1,7,1,13,1,9,1,6,1,7,1,13,1,8,1,6,1,7,1,13,1,6,2,13,2,29,1,7,1,6,1,13,1,7,1,29,1,6,2,13,1,7,1,13,1,30,1,28,1,30,1,6,1,28,18,30,2,6,1,30,1,13,4,8,1,13,2,9,1,13,1,9,2,13,2,17,4,12,1,17,2,12,3,17,2,12,2,17,5,12,1,10,1,12,2,10,1,24,2,8,1,24,1,8,1,24,2,12,1,9,1,12,2,10,1,8,1,10,1,9,1,17,1,12,1,17,3,12,1,17,1,10,1,17,3,12,2,17,1,10,1,9,1,24,1,8,1,9,1,24,2,10,1,24,1,10,1,8,1,24,1,8,4,24,1,8,1,24,2,25,1,24,1,8,1,25,1,24,1,8,1,24,1,10,1,8,1,24,1,8,1,10,2,9,1,10,2,9,3,12,1,9,2,11,1,9,1,17,2,11,1,8,1,11,1,12,1,9,1,17,2,9,1,12,1,17,3,12,3,9,1,17,1,12,2,17,1,24,2,12,1,24,2,8,1,25,1,27,2,25,1,29,1,25,1,26,1,27,1,25,1,30,1,29,2,27,1,28,19,30,1,28,46,30,1,28,2,29,1,8,1,6,1,13,1,24,1,25,1,8,2,24,4,12,1,24,2,17,1,12,1,17,2,10,1,17,1,12,1,17,1,8,1,10,1,7,1,9,1,13,1,9,1,13,1,9,1,11,1,9,2,10,1,9,1,17,1,9,3,13,1,11,1,10,1,11,1,10,1,17,1,12,1,9,1,11,1,8,1,9,1,8,1,13,1,9,1,8,3,12,1,24,1,12,1,10,1,11,1,10,1,9,1,10,1,8,1,9,1,7,1,13,1,8,1,9,1,13,1,6,1,13,1,6,1,30,1,13,1,5,74,28,11,30,1,6,1,10,1,17,3,24,1,9,1,8,1,6,1,28,5,30,1,6,1,8,1,9,1,12,1,13,1,28,6,8,1,17,1,7,1,30,1,13,1,6,1,7,1,28,28,14,2,13,1,8,1,}, {13,1,28,1,30,1,28,2,30,1,28,15,30,1,28,5,30,2,28,9,6,2,9,1,8,1,13,1,8,1,9,1,17,4,8,3,13,1,29,1,24,1,17,6,12,1,15,1,13,1,10,1,6,1,13,1,30,1,13,1,17,1,8,2,7,1,6,2,7,1,13,1,24,1,9,3,13,1,24,1,13,1,9,1,10,1,11,1,17,1,12,1,16,1,17,1,9,1,8,1,24,1,10,1,13,1,30,1,28,14,30,1,28,3,30,2,28,2,30,2,29,1,8,1,13,3,8,1,17,2,9,1,6,1,29,1,30,3,28,1,7,1,12,1,17,1,12,1,16,3,12,1,9,1,13,5,8,1,13,1,7,1,9,1,15,1,9,1,6,1,30,1,28,6,30,2,28,1,30,1,28,3,30,1,12,1,11,1,9,1,17,1,9,1,24,1,9,1,13,1,10,1,13,1,9,3,8,2,13,1,9,1,11,1,6,1,11,1,8,1,9,2,10,1,16,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,8,1,13,2,8,1,13,1,8,1,13,1,9,3,11,1,9,3,11,1,9,2,11,1,10,1,9,3,10,1,9,4,17,5,11,1,13,1,12,1,13,1,30,1,28,62,30,1,29,1,7,1,29,1,6,1,13,1,8,1,24,1,10,1,12,3,9,1,12,2,9,1,17,1,9,1,12,1,17,2,12,1,17,1,12,2,17,3,12,2,9,1,12,2,9,1,8,2,13,1,24,1,7,1,13,1,6,4,28,2,30,2,28,26,30,1,29,2,8,1,6,1,8,2,13,1,8,1,24,1,8,4,24,3,10,1,9,1,12,4,17,5,10,1,12,3,17,4,12,3,24,1,12,1,17,1,12,2,17,1,12,4,17,19,9,1,12,1,17,1,10,2,12,1,10,1,12,1,9,1,12,3,9,1,12,3,10,1,17,1,12,1,10,1,12,1,10,2,17,1,8,1,24,1,12,1,7,1,30,1,28,38,30,1,28,3,6,2,13,2,7,2,13,1,9,1,24,1,9,1,8,1,12,1,9,1,24,1,12,1,17,1,9,1,8,1,7,1,6,1,28,9,30,1,28,5,30,1,28,1,29,2,28,4,29,1,30,1,29,1,30,2,29,1,28,1,6,1,28,1,30,1,29,1,28,3,29,3,6,1,7,1,6,1,7,2,6,1,29,1,8,1,6,1,29,1,28,1,29,3,30,3,28,1,6,1,30,1,28,5,30,1,28,1,30,1,29,1,28,1,29,1,28,6,29,1,30,1,28,1,25,1,30,1,28,1,27,1,28,1,29,1,28,1,30,1,28,1,30,1,27,2,30,1,29,1,28,1,25,1,30,2,28,1,27,2,29,6,27,3,29,2,27,1,29,1,30,1,6,1,26,1,29,1,24,1,6,2,8,1,7,1,8,1,30,1,8,1,24,1,13,1,24,1,7,2,24,1,8,1,13,1,7,1,24,1,9,1,8,1,10,2,12,1,9,4,17,1,9,1,12,1,9,1,17,1,9,1,12,1,10,1,17,1,12,4,10,1,9,1,12,1,8,1,24,1,8,3,6,1,29,1,6,1,7,1,29,2,30,2,27,1,28,1,29,1,28,1,29,1,28,2,27,2,29,1,6,2,29,4,25,1,29,1,13,1,7,2,8,2,10,1,8,1,24,3,9,1,10,1,12,1,10,1,12,2,9,1,12,2,10,1,24,1,10,3,12,3,9,2,12,3,9,1,12,1,9,1,10,1,12,1,11,2,9,1,11,2,9,1,10,1,9,1,11,1,16,2,5,439,13,4,6,2,13,2,8,1,13,2,29,1,13,2,7,2,29,1,13,1,7,1,12,1,8,1,9,2,12,2,17,1,12,1,10,1,11,1,12,1,9,1,12,1,17,1,8,1,9,1,11,5,17,3,12,1,11,1,17,2,11,1,17,2,12,1,17,1,11,1,17,2,12,1,17,35,11,1,17,1,11,1,17,1,16,1,17,1,11,1,10,1,9,1,11,3,9,1,10,1,16,1,17,1,11,2,16,3,12,1,17,3,16,1,17,1,12,1,17,5,16,1,11,1,17,1,16,1,17,2,11,1,17,1,11,1,17,7,12,1,17,1,12,1,17,15,11,1,9,1,10,3,24,1,8,1,24,1,7,2,8,1,13,1,8,2,7,1,8,2,7,1,13,1,8,4,7,1,24,1,13,1,8,2,13,1,7,1,13,1,6,1,13,4,24,1,8,3,12,1,9,1,16,1,11,3,17,2,11,2,9,1,8,1,13,4,6,1,13,4,24,1,8,1,9,1,8,1,13,2,8,2,10,2,11,2,10,1,9,1,11,1,9,2,16,1,9,1,16,2,11,1,16,3,17,1,16,1,11,1,9,1,8,1,9,1,13,1,9,1,8,2,9,1,11,2,9,1,10,1,9,3,11,1,16,1,11,3,9,1,17,1,16,4,11,1,9,1,11,1,16,2,11,2,16,1,17,1,16,2,17,1,9,1,16,1,11,1,9,1,13,4,8,1,13,2,8,1,9,5,8,1,7,1,28,42,30,1,28,13,6,1,30,3,13,1,28,6,29,1,28,1,6,1,13,1,7,1,8,1,7,2,8,1,13,1,6,1,7,2,13,1,7,1,13,3,30,1,7,1,6,1,13,1,29,1,7,2,13,1,30,1,13,1,7,1,13,1,6,5,28,1,30,1,28,1,30,1,29,1,30,1,28,4,30,1,28,1,30,1,28,25,29,1,13,1,29,1,30,1,7,2,13,2,24,1,10,1,11,1,10,1,17,1,12,1,11,1,10,1,11,1,13,1,8,1,13,2,9,1,13,2,7,1,30,1,28,143,30,1,28,3,30,1,28,2,30,3,6,1,29,1,7,1,13,2,7,1,9,1,13,1,9,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,7,1,29,1,28,4,6,4,28,1,6,1,7,1,6,1,30,1,6,2,7,1,30,2,6,1,13,1,29,1,13,2,7,1,13,2,7,1,28,1,30,1,6,1,7,1,13,4,6,3,7,1,28,3,30,1,29,1,13,5,8,1,13,1,8,1,13,1,8,1,13,3,6,1,13,2,8,1,13,1,8,2,7,1,13,1,30,1,7,1,13,1,7,1,13,1,6,1,7,1,30,1,6,1,13,1,30,2,6,1,28,15,30,1,28,4,30,1,7,1,6,1,29,1,7,1,6,1,13,4,8,1,9,2,8,1,17,6,12,1,17,1,12,1,17,5,12,1,17,4,12,1,17,2,10,2,24,2,7,1,24,1,8,2,12,1,10,1,12,1,10,1,9,1,17,1,24,1,9,1,24,1,12,1,9,1,17,2,24,1,12,2,17,1,10,1,17,2,12,1,17,2,13,1,10,1,24,2,8,1,24,1,10,1,24,5,25,1,8,4,25,1,24,1,8,1,10,1,8,1,10,1,24,3,8,1,10,1,8,1,24,1,10,1,12,2,24,1,12,1,8,1,24,1,9,1,10,1,12,4,17,3,12,3,8,1,9,1,17,1,8,1,17,1,12,2,17,4,9,1,17,1,12,2,10,2,17,1,24,1,12,1,8,1,24,1,25,1,8,2,25,1,29,1,27,3,25,2,30,3,29,1,28,5,30,1,28,1,30,1,28,7,30,1,28,7,30,1,28,41,30,1,28,1,30,1,29,1,13,1,6,1,7,1,24,1,6,1,8,3,24,1,7,1,8,4,24,2,17,5,11,1,12,2,9,1,13,1,9,2,13,1,10,1,11,1,9,1,10,1,9,1,13,2,9,2,10,1,9,2,24,1,9,1,11,1,8,1,11,1,8,1,10,1,8,2,24,1,10,1,13,2,24,1,12,1,11,1,24,1,10,1,24,1,9,1,12,1,13,1,8,1,13,1,7,1,8,1,13,1,8,3,24,1,7,1,6,1,28,1,13,1,5,74,28,6,29,1,28,5,29,1,10,1,17,3,11,1,13,1,6,2,30,1,28,2,30,4,8,1,12,1,17,1,9,1,28,6,8,1,17,1,29,1,13,3,30,1,28,28,15,2,12,1,6,1,}, {7,1,6,1,28,13,30,1,28,5,30,1,28,1,30,1,28,13,6,2,7,1,6,1,7,1,13,1,9,1,8,1,17,4,8,1,13,3,7,1,13,1,17,4,12,1,17,2,16,1,11,1,13,2,7,1,13,1,24,1,17,1,9,1,8,1,13,1,7,1,6,1,29,1,13,1,8,1,17,1,15,1,8,2,11,1,24,1,8,1,11,2,17,3,11,1,24,1,8,1,7,1,24,1,8,1,30,1,28,17,30,1,28,1,29,1,30,1,28,1,30,3,7,1,29,1,13,1,8,1,13,1,17,1,12,1,8,1,29,2,6,1,7,1,28,1,30,1,6,1,17,4,9,2,8,1,13,3,7,1,8,1,13,3,8,1,17,1,11,1,9,1,6,1,30,1,28,3,30,1,28,5,30,1,28,3,30,1,9,2,24,1,11,1,10,1,8,1,13,1,11,1,8,2,9,4,8,1,11,1,8,1,9,5,11,1,13,1,6,1,30,1,13,3,8,2,7,1,9,2,13,4,8,1,13,1,9,5,10,1,11,1,9,1,10,1,9,4,8,1,10,1,9,1,8,1,9,2,11,1,17,3,12,1,9,1,10,1,9,1,6,1,28,66,30,1,28,1,8,1,13,1,24,2,12,1,24,1,10,1,17,2,12,1,17,1,12,1,11,1,12,1,17,6,11,1,17,1,12,1,17,2,8,1,9,2,8,1,24,1,8,2,7,1,8,1,6,1,29,1,30,1,29,1,6,1,28,1,29,1,30,1,28,27,29,1,30,1,6,1,13,1,7,2,24,1,8,2,7,1,24,1,7,1,24,1,10,1,24,1,9,1,13,1,17,1,24,1,12,1,17,1,12,1,17,1,12,1,17,3,10,1,12,1,17,1,12,3,10,1,12,3,17,1,12,4,24,1,12,1,10,1,17,1,12,1,17,20,12,1,10,1,17,1,9,2,8,1,12,1,8,1,9,1,10,1,12,1,10,1,9,1,12,2,11,2,12,1,10,1,24,1,9,1,10,1,12,1,11,1,17,1,12,1,10,1,24,1,7,1,6,1,28,38,30,1,28,2,6,1,30,1,7,1,13,1,7,1,8,1,6,1,9,2,7,1,24,1,8,1,9,2,12,1,10,1,17,2,8,1,13,1,29,1,28,14,30,1,28,3,6,1,30,1,28,2,30,1,29,1,28,1,29,1,28,1,30,4,29,1,6,1,30,1,13,1,6,1,7,1,6,1,7,2,13,1,8,1,6,1,13,2,7,1,6,1,7,1,8,1,29,1,13,1,30,1,29,1,6,1,7,1,28,1,6,1,29,1,28,1,6,1,30,1,28,1,29,1,28,4,29,1,28,1,29,2,6,1,30,1,25,1,6,2,28,1,29,1,28,1,29,2,28,1,29,1,28,1,30,1,27,1,30,2,28,2,27,1,28,1,29,1,30,1,29,1,30,1,27,1,25,1,29,1,28,1,26,1,29,1,28,1,25,1,26,1,29,1,26,1,29,1,27,2,26,1,6,1,25,1,29,1,25,1,24,1,25,1,8,1,7,1,6,2,7,2,8,1,7,2,13,2,24,2,8,1,24,2,13,3,8,1,10,1,9,1,24,1,9,1,8,1,12,2,9,1,10,2,17,1,9,1,12,1,17,1,12,3,17,2,12,4,24,2,10,1,13,1,10,1,7,1,26,1,8,1,6,2,26,1,29,1,25,1,27,1,30,1,6,1,30,1,29,2,28,1,27,3,25,1,6,3,13,1,7,1,8,1,6,1,13,1,8,2,12,2,8,4,24,1,12,1,9,1,24,2,9,1,12,2,10,1,17,1,11,1,12,1,10,2,12,1,10,1,12,3,17,1,10,1,12,2,11,1,9,1,11,1,12,5,9,1,11,2,17,1,11,1,9,1,17,2,16,1,5,440,9,1,7,2,13,2,7,1,8,1,13,1,9,1,13,1,8,1,7,1,13,1,6,3,29,1,13,1,24,1,11,1,9,1,11,1,10,1,12,1,10,1,17,2,12,2,10,2,12,1,11,1,13,1,9,1,8,1,17,1,11,1,12,2,11,1,17,1,10,1,11,1,17,1,12,1,17,2,12,2,17,1,12,2,17,9,12,1,17,28,11,1,17,1,11,1,17,1,16,1,11,3,9,1,11,1,10,1,11,3,9,1,16,1,11,1,16,2,11,3,17,2,11,1,16,1,17,39,11,1,17,1,10,1,8,1,24,1,9,1,24,1,8,1,7,1,13,2,8,1,13,1,24,1,6,1,8,1,6,1,8,1,24,2,8,2,6,1,7,1,8,2,24,1,7,1,13,2,8,2,13,1,29,1,6,1,7,2,8,1,24,1,9,2,8,1,9,1,11,2,16,1,11,1,16,2,11,1,17,1,11,1,9,2,13,3,8,1,13,1,7,3,8,1,13,1,8,1,24,1,8,1,9,4,11,1,10,1,9,2,16,1,11,9,16,4,9,2,10,2,13,2,9,4,10,1,8,1,9,5,11,4,9,1,11,1,16,2,17,1,16,1,11,2,16,1,11,1,9,1,16,3,17,1,11,2,16,2,9,1,16,1,11,2,9,1,13,1,7,1,13,1,8,2,13,1,9,1,8,1,10,1,8,1,9,2,8,2,13,1,30,1,28,53,30,1,28,1,6,1,30,2,13,1,28,8,7,1,8,1,24,1,13,1,7,1,13,1,8,1,13,1,9,1,7,1,13,5,6,1,8,1,6,1,30,1,6,1,7,1,29,1,7,1,6,1,7,1,30,1,6,2,30,1,13,1,6,3,30,2,6,1,30,1,28,33,30,2,6,1,30,1,6,1,13,2,9,3,11,2,12,1,11,1,17,1,11,1,9,3,8,1,9,1,13,3,6,1,28,145,30,1,28,2,29,1,28,2,30,1,6,1,13,1,6,2,7,1,6,1,28,1,30,1,28,19,6,1,28,1,30,4,28,4,30,1,28,1,29,1,28,1,30,1,28,1,6,1,30,1,6,3,30,3,28,1,30,1,28,1,7,1,28,1,13,1,7,1,6,3,30,2,6,1,30,1,6,1,28,1,30,1,6,2,28,1,30,1,28,1,6,1,7,1,28,1,6,1,30,1,7,2,13,1,6,1,13,3,6,1,13,1,9,1,8,2,13,2,6,1,13,1,7,1,13,1,30,1,6,4,30,2,6,2,28,18,30,4,6,2,13,2,9,1,13,1,9,1,8,1,10,1,17,2,12,1,17,1,10,1,17,10,10,1,12,1,17,1,12,1,10,1,24,1,10,1,12,1,24,2,10,1,13,1,8,1,24,2,7,1,17,1,10,1,24,1,10,1,12,1,24,1,12,1,10,1,17,1,12,1,17,3,12,2,17,2,12,1,10,1,17,1,9,1,10,1,12,2,24,2,8,1,24,2,8,1,24,1,8,1,24,1,8,3,24,4,7,1,24,1,12,1,8,1,24,1,7,1,24,1,8,1,10,1,24,1,7,1,17,1,8,1,12,1,10,1,24,1,12,2,24,1,11,1,12,1,9,1,12,1,17,1,8,1,12,1,9,1,10,1,17,1,12,2,10,1,9,1,24,1,17,1,12,1,11,1,17,2,10,1,17,1,12,1,17,1,12,1,10,1,12,1,10,1,24,4,26,1,24,1,8,1,25,1,27,1,29,1,26,1,25,1,26,1,27,1,25,1,27,1,30,1,28,2,30,1,28,2,29,1,28,12,30,1,28,5,29,1,28,43,6,1,30,1,28,1,29,1,6,1,29,1,24,1,6,1,13,1,7,1,8,2,7,1,13,1,6,1,8,2,24,2,13,1,12,1,17,6,10,1,9,1,10,1,9,1,8,1,9,1,8,1,11,1,8,1,9,3,10,1,13,2,8,2,9,1,8,1,13,1,8,1,24,1,8,2,7,1,8,1,7,1,9,1,7,1,13,1,9,1,12,1,9,1,10,1,13,1,10,1,17,1,11,1,9,1,13,2,7,1,9,4,11,1,13,1,7,1,13,1,7,1,9,1,5,74,28,5,30,2,28,5,6,1,8,1,17,2,12,1,17,1,13,2,29,1,28,3,29,1,28,1,6,2,8,1,17,2,10,1,28,6,9,2,7,1,8,1,13,1,6,2,28,28,12,1,9,1,13,1,6,1,}, {7,1,29,1,28,19,6,1,28,12,30,2,28,1,6,1,30,1,7,1,13,1,8,2,10,1,12,1,11,1,17,2,16,1,13,1,6,2,7,1,13,2,10,1,17,3,12,2,17,1,10,1,14,1,9,1,13,2,6,1,9,1,17,1,9,1,6,1,29,2,6,3,7,1,17,1,10,1,12,1,8,1,9,1,17,1,9,1,11,1,9,1,17,3,11,1,13,5,6,1,28,18,29,1,28,2,6,1,30,2,13,1,7,2,8,1,13,1,8,1,17,1,15,1,9,1,7,1,6,2,30,2,28,1,7,1,8,1,9,1,12,2,16,1,9,1,24,1,8,1,13,1,6,1,13,1,6,1,13,1,7,2,13,1,12,1,16,1,10,1,8,1,30,2,28,1,30,1,28,7,29,1,28,2,6,1,10,1,11,1,9,1,12,1,10,1,9,3,8,1,9,2,8,1,9,1,12,1,11,1,9,1,11,1,9,1,8,1,9,4,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,13,3,8,3,9,2,8,1,9,2,13,1,11,1,9,3,11,1,9,5,8,1,9,2,17,3,9,2,11,1,8,1,28,68,30,1,6,2,13,1,24,1,8,1,24,1,12,1,9,1,10,1,12,1,17,1,12,1,17,1,12,2,17,1,24,1,12,1,11,1,17,1,12,3,11,1,9,1,11,1,17,1,8,1,24,2,8,1,24,1,6,3,30,2,6,1,30,1,28,33,29,1,8,2,24,2,8,1,24,2,8,1,24,1,8,1,12,1,8,1,10,1,9,2,12,1,17,1,12,2,10,1,17,3,12,2,17,1,12,2,10,1,12,1,10,4,17,1,12,2,24,1,12,2,24,1,17,3,12,1,17,11,12,1,17,3,12,1,17,2,12,1,17,1,12,1,10,1,24,1,10,2,24,1,10,1,9,1,24,2,12,1,17,1,12,1,24,1,12,3,9,1,17,1,12,1,9,1,12,1,10,1,17,1,8,1,24,1,10,1,8,1,6,1,28,41,30,1,29,2,28,1,13,4,24,1,8,3,13,1,10,1,9,1,17,1,12,1,9,1,6,1,8,1,6,1,28,17,30,1,28,3,6,1,28,4,30,1,28,1,30,1,29,1,30,1,6,3,29,1,13,1,9,1,7,1,13,1,7,1,24,1,7,1,13,1,24,1,7,1,8,1,6,1,13,1,9,1,30,1,29,1,6,1,7,1,6,1,13,1,6,1,29,2,28,1,29,1,6,1,29,1,30,1,29,1,28,3,30,1,6,3,30,2,29,1,7,1,6,1,25,1,30,1,28,1,29,1,30,1,29,1,30,2,29,1,27,1,30,1,27,2,29,2,30,1,29,1,6,1,27,2,26,1,25,2,30,1,27,1,25,1,29,1,6,1,29,4,25,1,6,1,25,2,7,1,6,1,7,1,6,1,29,1,6,1,24,1,6,1,13,1,8,2,13,1,24,1,10,1,24,1,12,1,24,1,6,1,8,1,12,1,24,1,8,1,10,1,9,1,24,1,10,1,24,1,9,1,10,1,12,1,24,1,12,1,10,2,17,1,12,1,17,1,12,1,17,1,12,2,17,2,10,1,17,1,10,1,17,1,10,1,24,1,8,1,24,1,13,1,8,3,25,1,6,2,26,1,29,1,6,1,29,2,30,1,28,1,29,1,28,1,25,2,6,1,25,1,7,1,8,1,13,1,24,1,8,3,24,1,8,1,10,1,8,1,10,1,24,1,8,1,9,2,24,1,9,2,10,2,12,1,10,2,17,1,9,1,12,1,9,1,11,1,10,1,12,1,10,1,24,1,17,2,12,1,9,1,10,1,8,1,10,1,24,1,10,1,9,1,12,1,10,1,12,1,9,1,12,1,10,1,17,1,12,1,10,1,16,1,17,2,5,442,9,1,13,3,7,1,13,1,8,1,7,1,6,1,8,1,6,1,7,1,13,1,7,1,13,1,7,1,13,3,9,1,10,1,12,1,11,1,12,1,17,1,10,1,17,2,9,1,17,2,11,1,9,1,13,1,12,1,10,1,9,1,10,2,11,1,17,1,11,1,12,1,11,2,12,1,11,1,12,1,17,1,12,1,10,1,11,1,12,1,17,2,12,1,17,35,11,1,17,2,11,1,17,1,16,1,11,1,9,1,13,1,10,2,9,1,11,1,16,2,17,1,16,1,11,1,16,5,17,1,16,1,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,35,9,3,8,1,7,1,8,1,6,1,13,1,24,1,8,1,7,1,13,3,24,1,8,5,6,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,6,1,29,2,6,1,13,1,6,1,24,2,9,1,10,1,16,1,10,2,11,1,16,2,11,1,16,2,11,2,9,2,13,1,8,1,13,2,7,1,13,1,8,1,13,2,8,1,13,1,8,3,9,1,8,1,9,1,10,3,9,1,11,1,9,2,11,1,9,2,11,1,9,1,11,2,17,1,10,1,17,1,9,2,11,1,13,2,8,1,9,7,8,1,9,3,11,2,16,2,11,1,16,3,17,2,16,1,9,1,11,2,10,1,9,1,11,3,16,2,11,1,16,2,11,3,9,1,11,1,13,1,9,1,8,1,13,1,8,3,13,1,9,3,10,1,9,1,8,1,24,1,6,1,30,1,28,12,30,1,28,3,29,1,28,35,30,2,28,2,29,1,6,1,28,9,6,1,8,1,13,3,24,1,8,3,13,1,8,1,6,1,13,3,28,1,13,1,7,1,30,1,28,1,6,2,30,1,6,3,28,2,30,1,6,1,28,5,30,1,28,3,30,1,28,3,30,1,28,24,7,1,6,2,13,1,7,1,8,1,10,1,11,2,10,2,12,1,11,1,17,1,11,1,9,4,13,1,9,3,13,1,30,1,28,140,30,1,28,2,6,1,28,3,30,1,28,1,30,1,28,46,30,1,28,8,6,1,28,2,6,1,30,1,29,1,30,2,28,1,30,1,28,2,30,1,28,5,30,1,28,11,29,1,28,2,29,1,28,3,6,1,29,1,28,3,13,4,7,1,8,1,13,1,7,1,13,2,7,1,13,2,28,1,6,1,13,1,6,1,28,11,30,1,28,1,30,2,29,1,28,2,6,1,30,1,6,1,8,1,9,1,10,1,11,1,17,4,12,1,17,2,12,1,17,5,12,1,17,4,12,1,10,1,17,2,24,3,10,1,24,1,12,1,10,1,9,1,24,1,10,2,12,2,24,1,10,1,17,1,9,1,10,1,12,1,10,1,12,4,17,1,12,2,17,2,8,1,24,1,9,1,8,1,9,1,8,1,24,2,10,1,24,1,9,1,8,1,24,1,9,1,24,1,6,1,8,1,7,1,24,2,13,1,24,2,8,1,24,3,13,1,12,1,24,2,13,1,12,1,10,1,9,1,12,1,24,1,17,1,12,3,10,1,12,2,11,1,12,2,24,1,17,1,9,1,17,1,9,1,10,1,8,1,10,1,11,1,10,1,12,1,11,1,17,1,11,1,17,3,9,1,10,1,17,1,10,1,12,2,8,2,25,1,26,1,8,1,25,2,26,1,27,2,25,1,8,1,27,2,28,1,30,1,28,1,29,1,28,2,29,1,28,13,30,1,28,2,30,2,28,1,29,1,28,42,29,1,6,1,7,1,8,1,7,1,29,1,13,4,6,1,13,1,7,1,6,1,8,1,6,1,7,1,24,1,8,1,9,1,10,2,17,3,11,4,8,1,10,1,9,2,13,1,9,3,13,2,9,1,24,2,8,1,13,4,8,2,6,1,13,1,10,1,7,2,8,2,12,1,9,2,11,1,9,2,8,1,12,1,9,1,13,1,9,1,10,1,9,1,12,1,17,1,11,1,9,1,13,2,6,1,13,1,9,1,5,74,28,12,7,1,12,1,16,1,12,1,17,1,12,1,24,1,6,1,30,1,28,2,30,3,28,1,7,1,8,1,17,2,9,1,28,6,9,1,17,1,13,1,7,1,13,2,6,1,28,28,12,1,24,1,7,2,}, {8,1,28,5,30,1,28,12,29,1,28,16,29,1,6,1,7,1,30,1,13,1,8,1,24,1,9,1,10,1,17,3,16,1,9,1,24,1,29,1,13,1,6,1,13,1,10,1,17,5,16,1,9,1,14,1,9,1,13,3,9,1,17,1,8,1,24,1,6,1,8,1,7,1,6,1,13,2,15,1,9,1,24,1,9,1,24,1,9,1,13,1,17,2,16,1,17,3,9,1,8,1,13,1,8,1,24,1,6,1,28,13,30,1,28,3,30,2,29,1,28,1,30,1,28,1,29,1,7,1,6,1,7,3,10,1,17,1,14,1,9,1,29,1,30,2,6,1,30,1,28,1,6,1,9,1,11,2,9,1,10,1,9,1,24,1,9,2,7,2,6,1,13,2,6,1,24,1,9,1,17,1,9,1,8,1,6,1,28,1,30,1,28,8,30,1,28,2,6,1,10,1,11,1,12,2,10,1,12,1,9,1,8,1,13,1,9,1,8,1,11,1,8,1,11,1,10,1,9,3,10,1,9,1,17,1,12,1,13,1,7,1,13,3,9,1,13,1,9,1,13,2,9,1,6,1,8,2,9,1,8,2,13,1,9,1,8,1,9,1,13,1,8,1,9,2,8,1,9,2,10,1,9,4,8,1,9,3,12,1,11,1,17,1,10,1,17,1,9,1,28,69,30,1,29,1,6,1,7,1,13,1,8,1,24,1,12,3,9,1,17,1,10,1,11,1,12,1,17,3,12,1,9,1,10,1,12,1,9,1,12,1,9,1,12,1,24,1,10,1,8,1,24,1,8,1,24,1,7,1,6,1,29,2,28,1,29,1,30,2,28,2,29,1,28,28,6,2,29,1,24,6,8,2,24,1,10,2,9,1,12,2,9,1,10,1,8,1,12,3,17,1,12,1,17,2,12,2,10,1,12,1,10,1,17,1,9,1,17,2,12,1,17,1,24,1,12,1,17,2,9,1,12,2,10,2,12,1,17,10,12,4,17,3,10,1,12,1,24,1,12,1,8,1,24,2,12,1,24,2,12,1,9,1,12,2,17,1,12,5,17,1,12,1,9,1,17,1,12,2,24,1,9,1,8,2,13,1,6,1,28,38,29,1,28,2,6,1,30,1,6,1,8,1,6,1,13,1,8,1,13,1,8,1,9,2,8,1,10,1,17,3,11,1,9,1,8,1,13,1,28,1,30,1,28,11,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,3,30,2,6,1,29,1,6,1,13,1,6,1,7,4,24,1,12,1,13,1,24,1,7,1,8,2,13,1,7,1,8,3,13,1,6,1,29,1,7,1,13,1,6,1,29,1,7,1,29,1,6,1,29,1,30,1,7,1,28,1,6,1,30,1,29,1,28,1,30,1,28,2,29,1,30,1,7,1,6,2,30,1,29,1,25,1,30,1,6,4,29,1,28,1,25,1,6,1,27,1,26,2,29,1,8,1,30,1,25,2,29,1,8,1,6,1,27,1,6,1,29,2,25,3,8,1,26,1,25,1,6,1,8,1,7,1,25,2,7,1,6,1,8,3,6,1,7,1,29,1,13,1,7,1,24,1,13,1,24,1,12,1,24,1,12,1,24,2,12,1,24,1,8,1,12,1,10,1,12,1,24,1,12,3,10,2,9,1,10,2,12,1,10,1,12,1,11,1,10,1,12,3,10,1,17,2,12,2,10,2,24,1,8,2,24,1,7,2,6,1,25,2,27,1,25,1,8,1,29,1,27,1,6,1,26,1,25,1,6,1,8,1,25,1,8,1,7,1,8,2,24,1,8,5,24,4,12,2,9,1,10,1,9,1,11,1,12,1,10,1,11,1,10,2,12,2,11,1,9,1,10,1,9,1,24,1,12,2,10,1,17,1,24,1,10,2,9,2,24,1,12,1,9,1,12,1,17,1,10,1,12,1,11,1,17,1,11,2,17,1,16,1,9,1,16,1,5,444,13,1,6,1,13,1,9,1,8,1,13,4,6,1,8,1,6,4,9,1,7,1,6,1,9,1,12,1,11,2,10,1,12,1,17,3,12,1,8,1,17,1,12,1,17,1,9,1,8,1,12,1,8,1,9,1,12,1,17,1,11,4,17,4,12,3,11,1,10,1,17,1,11,1,17,40,16,3,10,1,9,1,11,3,16,1,17,1,16,1,17,2,11,1,17,1,16,1,17,1,16,2,17,1,16,1,17,2,11,1,16,2,17,2,16,3,17,33,9,1,8,1,13,1,8,2,13,1,8,1,6,1,8,2,24,1,8,1,25,1,7,1,13,1,8,1,7,1,8,1,25,1,8,2,13,3,24,1,8,1,13,1,8,1,24,1,8,1,13,1,7,1,13,1,6,1,8,1,11,1,9,1,10,1,11,1,17,1,11,2,17,1,16,2,17,1,11,1,16,1,9,1,10,1,8,1,13,2,6,1,8,1,6,1,13,1,8,1,7,2,24,1,13,1,8,2,13,1,9,1,13,1,8,1,9,3,11,1,9,2,11,2,16,1,9,1,10,1,16,3,10,1,17,1,8,1,9,1,11,1,16,1,13,1,8,2,9,2,13,1,9,1,8,1,13,1,9,2,8,1,9,3,10,1,11,1,16,2,17,2,16,1,17,1,16,2,11,1,9,1,11,1,16,1,11,1,16,1,11,3,16,1,11,1,16,3,11,1,16,1,11,1,10,1,13,3,8,2,13,1,8,1,9,4,8,1,9,2,8,2,13,1,28,2,29,1,28,3,30,1,28,12,30,1,28,1,30,1,28,33,30,3,28,8,30,1,6,1,7,1,8,3,9,1,13,6,6,1,8,1,6,1,7,1,6,2,30,1,7,1,30,3,13,1,28,1,30,2,6,2,28,2,6,1,30,3,28,31,30,2,28,1,13,2,8,2,9,1,10,1,11,1,17,1,9,1,12,1,11,1,12,1,11,2,9,2,11,1,9,1,13,1,9,1,13,1,29,1,28,1,29,1,28,130,6,1,28,13,30,1,28,49,30,1,28,2,30,1,28,6,30,1,28,1,30,1,29,3,28,1,29,1,28,1,30,2,28,1,30,1,28,1,6,1,28,2,30,1,28,9,30,1,28,10,30,1,28,5,7,1,28,1,6,1,13,1,6,1,13,1,8,1,13,2,9,1,13,2,8,1,29,1,13,2,29,1,7,1,6,1,30,2,28,1,30,1,28,2,30,1,28,8,30,4,6,1,13,1,11,1,17,11,10,1,17,1,10,1,17,2,11,1,17,2,12,3,24,1,10,1,12,1,24,1,10,1,13,1,7,1,10,1,24,1,12,1,24,2,12,1,8,1,24,1,10,1,24,1,13,1,7,1,10,1,8,1,17,1,12,3,17,2,10,1,17,1,12,1,10,2,8,1,10,1,12,1,24,1,9,1,8,1,12,1,6,1,24,2,13,1,24,1,8,1,10,1,13,1,24,1,8,1,12,1,24,2,8,1,24,3,8,1,24,1,9,1,13,1,24,1,12,1,24,3,12,1,9,1,10,1,12,1,9,1,10,1,11,1,17,2,12,1,17,1,11,1,17,1,12,1,17,1,12,1,11,1,10,1,12,1,17,1,12,1,17,1,12,1,9,1,10,1,17,2,12,1,17,1,10,1,17,1,24,1,12,1,24,1,8,1,24,1,8,1,26,1,8,1,28,1,25,1,26,1,25,2,30,1,25,1,27,1,29,2,26,1,30,1,28,1,29,1,28,11,30,1,28,3,30,2,28,2,30,2,29,1,28,43,30,2,28,1,29,1,7,1,13,1,29,1,24,1,13,1,7,1,6,1,8,1,13,1,7,2,8,1,7,1,8,1,13,1,12,1,24,1,17,5,11,4,9,1,13,1,9,1,13,1,9,2,10,1,24,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,7,2,13,2,6,1,13,3,12,1,11,1,10,1,17,1,8,1,9,1,12,1,9,1,24,1,10,1,9,1,7,1,10,1,9,1,12,1,17,1,11,1,9,1,13,1,7,1,30,2,9,1,5,74,28,5,29,1,28,6,8,1,14,1,17,1,13,1,16,1,9,1,8,1,30,2,28,5,29,1,13,1,6,1,10,1,17,1,8,1,28,6,8,1,9,1,13,1,7,2,13,1,6,1,28,28,9,1,8,1,6,1,8,1,}, {13,1,28,19,30,1,28,16,29,1,6,1,7,1,6,1,8,1,11,1,12,1,9,1,24,1,16,1,17,2,6,3,7,1,6,1,13,1,9,1,17,3,16,1,17,1,16,1,9,2,10,1,13,1,8,1,13,2,17,1,13,2,6,1,7,1,6,1,29,2,8,1,17,1,9,1,24,2,8,1,13,1,24,1,12,1,17,5,12,1,8,2,9,2,28,17,30,1,28,1,6,2,28,1,30,1,6,1,29,1,6,1,29,1,8,2,13,1,24,1,17,2,24,1,30,1,28,1,29,2,28,1,30,1,28,1,9,1,17,1,16,1,10,1,13,1,7,1,9,2,24,1,6,1,13,2,6,2,7,1,8,1,9,2,16,1,9,1,28,3,30,1,28,4,30,1,29,1,28,4,30,1,10,1,17,1,12,1,8,1,11,1,24,1,10,1,13,1,11,1,9,1,11,1,16,1,9,1,10,3,9,1,8,2,11,1,9,2,8,4,9,1,13,1,8,1,9,2,8,2,9,4,11,1,9,5,8,1,11,1,13,1,10,1,9,5,8,1,10,2,9,3,17,2,12,1,17,1,12,1,7,1,28,42,30,1,28,2,30,1,28,27,6,1,24,1,8,1,24,1,8,1,24,1,10,1,12,2,10,1,17,3,12,1,11,1,17,1,10,1,12,3,17,1,9,1,24,1,10,1,9,1,8,2,13,1,24,1,25,1,30,1,6,1,28,1,30,1,6,1,28,1,29,1,28,31,30,1,29,1,24,2,8,1,24,1,8,1,24,5,10,1,24,1,12,1,24,1,12,2,10,1,12,1,17,1,12,2,17,2,12,1,17,2,12,5,10,1,24,1,12,3,24,1,10,2,17,1,12,1,17,1,9,1,17,1,10,1,17,2,12,1,17,1,12,1,17,12,12,1,8,1,9,2,24,2,10,2,24,1,10,3,24,1,10,1,12,1,10,1,17,2,9,1,12,7,10,1,24,2,8,3,29,1,28,41,30,1,6,1,13,1,7,1,13,1,8,3,24,1,10,1,8,1,24,1,10,1,17,3,11,1,8,1,9,1,7,1,30,1,28,1,30,1,28,18,29,1,28,1,7,1,28,1,29,2,30,1,29,1,6,1,7,1,8,2,6,1,9,1,7,1,8,1,24,1,6,1,8,2,24,1,9,1,8,1,9,1,10,1,24,2,9,1,7,1,24,1,8,1,29,1,13,1,7,2,28,1,6,2,29,1,6,1,29,2,30,1,28,1,30,1,29,1,6,1,7,1,30,2,29,1,30,1,13,1,28,2,7,1,30,1,7,1,6,1,13,1,6,1,24,1,6,2,29,1,26,1,29,1,25,1,29,1,25,1,30,1,29,2,25,1,6,2,25,1,30,1,6,5,25,1,6,1,26,1,6,2,25,1,8,1,7,2,13,1,7,1,24,1,7,1,13,1,7,2,8,1,7,1,24,1,8,1,13,1,24,1,17,1,12,1,24,1,12,1,8,1,24,1,8,1,24,1,7,1,10,1,24,1,10,1,9,1,11,1,9,2,12,1,8,1,11,1,12,1,11,1,17,1,12,1,17,2,12,4,17,1,10,1,12,4,10,1,9,1,8,1,24,2,8,1,6,1,8,1,25,1,6,1,29,1,25,1,6,2,25,1,6,1,8,2,13,1,24,1,8,1,24,1,10,1,24,4,12,1,13,1,10,1,9,2,24,2,12,2,10,1,17,1,12,2,17,2,11,1,17,1,10,1,17,1,12,1,11,1,17,1,12,2,10,1,9,1,17,1,12,2,10,1,9,1,12,1,9,1,24,1,12,1,9,1,12,1,10,1,9,1,11,1,9,1,10,1,11,2,17,1,16,1,5,1,13,1,5,446,9,1,8,2,13,4,7,1,13,2,30,1,6,1,7,1,13,2,24,1,29,1,13,1,8,1,12,1,10,1,12,1,11,1,17,1,12,1,17,3,10,1,17,1,12,1,10,1,12,1,17,1,10,1,9,1,10,1,11,2,12,1,10,1,11,1,12,1,17,1,11,1,17,1,12,1,10,1,12,1,17,1,12,4,17,40,16,2,11,1,9,2,11,1,9,1,11,1,17,1,11,1,16,3,17,1,16,1,17,1,16,6,17,1,16,3,11,1,16,4,17,1,16,1,17,31,8,1,9,1,24,1,8,1,13,3,8,2,25,1,24,1,7,1,8,3,6,1,24,1,7,1,8,2,13,2,24,2,13,2,8,1,13,2,6,3,8,1,13,1,7,1,8,1,10,1,11,1,16,1,11,2,16,1,11,1,16,3,11,1,16,1,10,1,9,3,13,1,7,1,13,1,7,1,13,4,8,1,24,1,6,1,8,3,9,2,8,1,9,3,11,1,10,1,11,2,17,1,10,1,9,1,11,3,16,1,9,1,8,1,13,1,10,2,9,1,6,1,13,2,8,1,10,1,8,1,9,1,8,1,13,1,8,1,13,2,10,1,9,1,11,3,16,1,17,3,16,3,8,1,9,2,11,1,16,5,17,1,16,4,9,1,16,2,11,1,13,3,8,1,9,1,8,3,9,4,8,1,13,1,8,1,10,1,9,1,13,1,29,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,7,30,1,28,1,30,1,28,5,30,1,28,5,29,1,28,21,6,2,28,8,29,1,30,1,28,2,7,1,24,1,8,1,13,1,8,2,13,1,9,2,13,4,6,1,7,1,28,2,6,1,29,1,6,1,28,1,30,1,7,1,30,3,28,1,29,1,28,34,30,1,28,2,6,1,9,2,10,1,11,1,10,1,11,2,10,1,11,2,12,2,9,1,17,1,8,1,13,1,8,1,9,2,13,1,6,1,7,1,30,1,28,128,30,2,28,3,30,2,28,1,30,1,29,1,30,1,28,48,30,1,28,5,29,1,28,11,6,1,28,2,30,3,29,1,30,1,6,1,28,1,30,1,28,5,6,1,28,1,30,2,28,1,30,1,28,15,30,1,28,4,30,1,28,1,30,1,28,2,6,1,13,1,6,1,13,4,7,2,13,1,8,1,9,2,13,1,7,1,13,1,29,1,6,2,7,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,1,30,1,28,2,6,1,13,1,12,1,17,5,12,1,17,4,12,1,17,1,12,1,17,1,12,1,17,2,12,1,10,2,24,1,12,1,10,2,12,1,8,2,12,1,10,1,12,1,8,2,12,1,13,1,8,2,24,1,8,2,12,1,8,1,24,1,8,1,13,1,24,1,12,2,8,1,12,2,24,1,12,1,9,1,12,1,24,2,10,1,12,1,24,4,13,1,8,1,24,1,10,1,12,1,13,1,24,1,7,1,24,3,8,3,10,1,24,2,6,1,24,3,9,1,24,1,12,1,24,1,12,1,10,1,24,1,11,1,17,1,12,1,17,2,9,1,12,2,24,1,12,1,17,1,12,3,11,1,12,1,10,1,17,1,11,1,17,1,9,1,17,1,9,1,12,1,10,1,12,2,24,1,25,1,24,1,26,2,24,1,26,1,8,1,25,1,29,1,27,2,29,1,8,1,27,1,29,1,30,1,29,1,27,1,30,2,28,3,25,1,28,3,30,1,28,9,30,2,28,46,29,1,7,1,6,3,29,1,13,1,7,3,13,1,6,1,29,1,13,1,8,1,6,2,13,1,9,1,24,2,8,1,17,4,11,1,17,1,12,1,9,2,24,1,10,1,9,1,13,1,9,1,11,1,13,1,8,1,9,1,13,2,10,1,8,4,6,1,8,1,24,1,13,1,8,1,13,1,8,1,10,1,9,1,11,1,9,1,11,1,12,1,9,1,10,2,8,2,9,1,17,1,9,1,12,2,10,1,9,1,6,1,13,1,6,2,13,1,5,74,28,6,30,1,28,5,13,1,14,1,17,1,12,2,9,1,6,1,28,1,6,1,30,1,28,5,30,1,6,1,8,2,13,1,28,6,9,2,6,1,7,2,29,1,6,1,28,27,30,1,8,1,9,1,29,1,6,1,}, {8,1,28,5,30,1,28,21,30,1,28,8,30,1,6,1,30,1,6,1,24,1,9,2,8,1,17,1,16,1,17,2,8,1,6,1,13,1,6,1,13,1,6,1,9,1,17,3,16,1,12,1,11,1,9,1,14,1,9,1,13,2,7,1,9,1,10,1,24,1,13,1,6,1,7,1,13,1,7,1,13,2,12,1,9,2,13,1,9,1,13,1,9,1,16,2,17,2,12,1,17,1,12,1,13,1,24,1,8,1,12,1,13,1,30,1,28,6,30,1,28,3,30,2,28,1,29,1,28,2,30,1,28,2,6,1,28,2,6,2,13,1,9,1,8,1,24,1,13,1,15,1,17,1,8,1,7,1,30,2,28,3,6,1,8,1,17,1,12,1,9,3,13,1,8,2,7,1,13,1,7,1,6,3,13,1,9,2,12,1,13,1,6,1,28,7,30,2,28,4,30,1,9,1,17,1,12,1,11,1,10,1,12,1,9,2,10,1,11,2,10,1,9,1,11,1,17,1,9,2,17,1,8,2,13,1,9,2,13,1,9,1,7,1,8,2,10,1,13,1,9,1,8,1,9,5,10,1,9,3,8,1,9,7,8,1,11,1,10,1,11,2,16,1,11,1,16,2,17,3,10,1,30,1,28,44,30,1,29,1,28,1,6,1,29,2,28,1,30,2,28,2,29,1,30,1,28,3,29,1,28,13,13,2,8,1,24,1,10,1,8,1,9,1,12,1,10,1,12,5,17,1,11,1,9,2,17,1,10,1,12,1,10,1,7,1,8,1,24,1,6,1,7,2,6,3,28,37,6,1,7,1,8,2,24,2,9,3,10,1,24,1,12,1,24,4,10,1,12,2,17,3,12,1,17,4,24,1,12,1,17,1,24,1,12,3,24,1,12,1,17,1,12,4,24,1,17,2,10,1,17,2,12,1,9,1,17,4,12,1,17,2,12,1,17,1,11,1,17,4,10,1,24,1,9,1,24,1,10,1,8,1,24,1,8,1,24,3,9,1,10,1,12,1,17,1,12,1,10,1,17,1,12,1,17,1,12,3,10,3,8,1,9,1,24,1,8,2,30,1,29,1,28,39,30,1,29,1,30,1,28,1,6,2,7,2,8,1,13,1,8,1,24,1,12,1,8,1,10,2,12,1,17,3,9,1,12,1,8,1,28,1,30,1,28,1,29,1,28,12,30,1,28,2,29,1,30,1,6,1,29,1,7,1,28,1,6,2,13,2,24,1,7,1,8,1,24,1,9,1,8,1,10,1,13,1,11,1,13,1,9,2,12,1,13,1,12,1,11,1,24,2,8,1,7,1,24,1,8,1,13,2,29,1,7,1,6,1,8,1,6,2,13,1,6,1,8,2,6,2,13,1,29,1,7,1,29,1,6,1,30,1,29,1,6,1,7,1,29,1,7,1,6,2,8,1,6,1,8,1,25,1,6,1,25,1,6,1,8,1,13,1,8,1,6,1,27,1,7,1,26,1,8,1,25,1,6,1,8,1,29,1,26,1,6,1,29,1,8,1,25,1,29,1,10,1,6,1,26,1,25,2,7,1,8,1,6,1,7,1,9,1,13,2,6,1,8,1,24,1,8,1,9,1,7,1,24,2,13,1,8,1,13,1,17,2,24,3,9,1,10,1,12,1,10,1,24,1,9,1,24,1,10,2,9,2,24,1,10,1,12,3,17,2,12,1,17,2,11,1,12,3,17,3,10,1,17,1,12,1,24,1,10,1,24,1,8,1,24,1,8,1,7,1,6,1,7,2,25,1,6,1,8,2,7,1,24,1,7,1,24,2,8,1,24,1,10,1,8,1,10,1,12,4,10,2,17,2,12,3,17,1,10,1,17,3,9,1,17,1,12,1,17,1,12,1,10,1,11,1,12,2,9,2,10,2,9,1,12,1,9,1,12,1,24,1,12,1,10,1,17,2,12,1,10,1,12,2,17,2,16,1,5,451,9,1,13,1,6,1,9,1,6,1,13,2,7,1,13,3,6,1,13,3,8,1,6,1,13,1,8,1,10,1,9,1,12,2,17,1,12,1,17,4,12,1,10,1,12,1,9,1,17,1,9,1,12,1,17,1,10,1,17,2,10,1,12,1,17,1,12,1,17,2,12,1,11,1,17,1,10,1,17,2,12,1,17,43,16,1,9,1,16,1,11,1,10,1,11,3,16,2,11,1,17,3,16,3,11,1,16,2,17,1,11,1,16,2,17,1,16,3,11,1,16,2,17,2,16,4,17,24,11,1,9,1,7,1,13,1,8,1,13,3,24,1,8,2,7,1,8,3,13,1,7,1,24,2,13,1,8,2,13,1,8,1,13,1,8,1,24,1,8,1,6,1,13,1,6,1,7,2,8,1,13,1,8,1,9,1,11,1,12,1,11,6,16,2,11,1,16,1,11,1,10,2,13,5,7,1,8,2,13,1,8,3,7,1,24,1,8,1,13,1,9,1,8,1,9,1,10,1,11,2,9,1,11,4,16,1,11,2,12,1,11,1,9,3,10,1,9,1,12,1,13,2,9,1,13,1,9,1,13,1,9,1,8,1,10,1,9,1,10,1,8,1,9,1,11,4,16,1,11,1,16,1,17,1,16,3,11,1,9,1,11,3,16,2,11,1,17,1,16,3,17,1,16,2,11,2,9,3,13,1,8,1,13,1,8,2,9,1,8,1,9,1,8,1,9,2,8,1,9,1,10,1,8,1,9,1,13,1,6,1,28,1,29,1,28,3,30,1,28,1,30,1,29,1,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,22,7,1,28,8,30,1,29,1,28,3,29,1,13,1,7,1,13,2,6,1,8,1,13,1,9,2,6,1,13,1,30,2,28,1,30,1,6,1,30,1,6,1,30,2,6,3,30,1,6,1,28,1,6,1,28,5,6,1,28,29,30,1,13,1,10,2,12,1,9,1,11,2,17,1,11,2,17,1,8,1,9,1,12,1,10,1,17,1,13,1,9,3,13,2,6,1,28,133,30,1,6,1,28,53,30,1,28,8,30,1,28,8,30,2,28,2,30,1,29,1,30,4,28,1,30,1,28,5,30,1,28,1,30,2,28,2,30,1,28,25,30,1,28,1,29,1,13,1,9,1,13,2,7,1,6,1,7,1,28,1,29,1,13,1,8,1,13,2,8,1,13,1,6,2,13,1,6,1,7,1,30,1,29,1,28,1,29,1,30,1,28,2,30,1,28,7,6,1,13,1,8,1,17,10,10,1,17,6,12,1,9,1,10,1,12,1,10,1,12,2,8,1,12,2,24,1,10,1,24,1,25,1,24,1,8,1,7,1,8,1,24,2,13,1,24,4,8,1,10,2,24,1,10,1,24,2,8,1,17,1,24,1,13,1,8,2,24,4,13,1,8,1,24,2,8,2,10,1,24,2,8,1,12,1,24,2,12,1,24,4,10,1,12,1,24,1,12,1,10,1,24,1,10,1,12,1,24,1,12,2,10,1,12,1,10,1,12,1,17,1,12,4,24,1,10,1,12,5,11,1,17,1,12,2,17,2,12,1,17,1,9,1,24,1,12,1,8,1,25,1,24,2,25,1,8,1,27,1,26,1,25,1,26,1,25,2,27,1,25,1,29,1,27,1,25,1,28,2,26,1,30,2,28,1,29,1,28,8,29,1,28,2,30,1,28,2,30,4,7,1,28,43,29,1,6,1,30,1,7,1,30,1,29,1,6,2,7,1,29,1,7,2,29,1,13,1,6,1,7,2,8,1,13,1,24,1,9,1,24,1,9,1,10,1,17,5,12,1,13,1,11,1,13,1,8,1,10,1,13,1,8,1,9,1,10,1,8,1,9,1,24,1,9,1,8,1,9,1,13,1,8,1,13,1,7,1,13,2,8,1,9,2,12,2,17,1,12,1,10,1,17,2,24,1,10,1,11,1,24,1,11,1,9,1,10,1,12,2,17,1,9,1,7,1,6,1,28,1,30,2,5,74,28,12,6,1,17,2,11,1,13,1,8,1,30,1,7,1,29,1,30,1,28,3,30,1,28,1,29,1,7,1,17,1,8,1,28,7,12,2,8,1,6,1,30,1,29,1,28,28,30,1,15,1,9,1,6,1,7,1,}, {13,1,30,1,28,2,30,1,28,23,30,1,28,7,30,1,6,1,30,1,7,1,13,1,24,1,13,2,8,1,9,1,16,1,17,2,8,1,13,2,8,1,6,1,8,1,11,1,17,2,11,1,12,1,16,1,9,1,12,2,9,1,8,1,7,1,8,1,7,1,17,1,9,1,13,2,6,1,30,1,28,1,6,1,7,1,11,1,12,1,8,1,9,1,8,2,9,2,17,1,12,1,17,1,11,1,17,1,9,1,24,1,9,1,8,1,17,1,13,1,30,1,28,14,30,1,28,2,30,1,28,1,6,1,30,2,28,1,6,1,7,1,24,1,8,3,11,1,17,1,13,1,6,1,29,1,28,1,6,1,30,1,28,1,30,1,10,2,17,1,12,1,24,1,10,1,9,1,24,1,13,2,6,2,29,1,7,2,13,1,10,1,9,3,30,1,28,2,29,1,28,3,30,1,28,3,29,1,28,2,29,1,9,1,12,1,9,1,13,1,24,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,8,1,9,1,8,3,13,1,8,4,9,1,8,1,13,1,8,1,13,2,10,1,9,1,8,1,9,1,10,1,11,1,10,1,11,1,8,2,9,1,8,1,9,5,8,1,9,2,8,1,9,1,11,2,12,1,11,1,16,2,17,3,8,1,30,1,28,43,29,1,30,3,29,2,6,1,28,1,7,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,28,12,30,1,7,1,8,1,7,1,24,3,9,1,10,1,17,1,9,1,12,2,17,1,12,1,11,2,12,1,10,2,24,1,10,1,24,1,13,1,7,1,6,1,7,1,6,1,29,1,30,1,6,1,28,28,30,1,28,6,30,1,28,1,6,2,8,1,10,1,8,1,12,1,13,1,17,1,24,1,9,2,24,1,9,1,17,1,24,2,12,2,9,1,12,4,17,1,12,1,15,1,17,1,9,1,12,1,10,1,17,1,10,1,17,1,24,1,17,1,12,1,24,1,12,1,17,1,12,2,17,2,12,1,17,1,12,3,17,4,12,1,17,7,12,1,17,1,12,1,24,1,8,1,24,1,8,1,13,1,24,2,8,1,24,1,10,1,12,2,10,1,12,3,10,1,17,2,10,1,12,2,17,1,12,1,24,1,9,1,12,1,10,1,8,1,7,1,13,1,30,1,28,42,30,1,28,1,6,2,24,1,7,1,8,1,24,1,8,1,9,2,24,1,10,1,17,5,12,1,10,1,6,2,30,1,28,1,30,3,28,1,30,1,28,5,30,2,29,1,28,1,6,1,29,1,30,1,6,1,29,1,30,1,7,1,6,2,8,1,13,1,7,1,24,1,13,1,24,2,10,1,24,1,8,1,10,1,24,1,9,1,11,1,13,1,12,1,10,2,24,2,10,1,8,1,9,1,10,1,13,1,10,1,24,1,8,1,24,1,7,1,8,1,13,1,7,1,24,1,7,1,13,1,8,1,13,1,6,2,13,2,29,1,7,1,13,1,7,2,6,2,7,1,6,1,8,1,13,3,6,1,29,1,6,2,25,1,29,2,6,1,29,1,25,2,26,1,6,2,8,1,7,1,30,1,6,1,8,1,7,1,6,1,8,1,25,1,6,1,24,1,7,1,8,1,24,1,8,2,7,1,8,2,13,1,8,1,24,1,13,1,24,3,8,2,10,1,24,1,10,1,12,2,10,1,9,1,24,1,9,1,24,1,8,1,12,1,10,3,9,2,24,1,12,1,10,2,12,1,17,1,12,2,17,4,12,1,17,1,12,4,17,3,9,1,10,1,12,1,10,1,9,1,24,2,8,2,24,2,8,3,7,1,8,1,24,6,9,1,12,1,9,1,12,1,9,1,12,1,17,1,10,1,12,3,17,1,12,3,17,3,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,4,12,1,10,1,12,2,10,1,24,1,7,1,8,1,9,1,17,1,12,1,11,1,12,2,9,1,11,1,5,453,13,2,8,1,13,4,7,1,8,1,6,1,13,1,7,1,29,1,13,4,9,1,11,1,8,1,10,1,12,3,17,4,12,1,11,3,10,1,12,2,10,1,11,1,10,1,11,1,17,1,11,2,17,3,12,2,17,1,11,1,12,1,11,1,17,40,16,1,11,2,17,1,11,1,16,1,11,1,9,1,16,1,9,1,16,1,11,1,16,1,11,1,17,1,16,2,17,3,16,3,17,1,16,3,9,1,17,1,11,1,16,4,11,1,17,1,11,1,10,1,17,2,11,1,16,1,17,24,11,1,13,1,24,1,8,2,10,1,8,2,25,1,24,1,8,4,13,1,8,1,7,3,8,2,24,1,8,1,9,1,8,1,13,1,7,1,13,1,8,1,6,2,13,1,8,1,24,1,9,2,11,2,17,1,16,1,11,1,16,1,17,1,16,2,17,1,11,3,10,1,11,1,8,1,13,2,9,1,13,2,8,1,7,2,13,1,8,1,13,1,8,3,13,1,9,1,8,1,9,1,10,1,9,1,11,1,13,1,11,2,9,1,11,1,17,1,11,1,16,1,9,1,8,1,10,1,9,4,17,1,8,1,13,2,8,1,9,3,8,1,10,1,9,3,6,1,9,3,11,1,17,1,11,2,16,1,11,1,17,1,11,5,16,1,11,1,16,2,17,1,16,1,17,1,16,1,17,1,11,2,16,1,11,2,9,1,10,1,8,1,9,2,13,1,9,3,8,1,9,1,8,1,10,1,8,1,9,3,12,1,8,2,6,1,30,1,28,6,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,4,30,1,28,1,29,1,28,16,29,1,7,1,28,11,30,1,28,1,30,2,6,2,8,2,24,1,10,1,8,1,10,1,9,1,13,1,6,1,7,1,6,1,30,1,6,1,30,2,28,2,29,1,6,1,30,1,6,1,28,1,30,1,28,35,30,1,9,1,11,1,12,1,17,2,11,3,9,1,11,2,9,1,12,1,9,2,12,1,8,1,10,1,8,2,13,2,29,1,28,132,30,1,28,1,30,1,28,63,30,1,28,2,6,1,28,2,30,1,6,1,28,2,30,1,28,1,6,3,30,1,28,1,30,1,7,1,30,1,6,1,30,1,28,4,30,2,28,1,30,1,6,1,30,5,6,1,28,3,29,1,28,2,30,1,28,10,30,1,28,3,29,1,28,5,30,1,7,2,29,1,7,1,6,1,13,1,30,1,6,1,13,1,7,1,13,1,6,1,7,1,13,2,9,1,13,1,30,1,13,1,29,1,6,2,30,1,29,1,28,5,30,1,6,1,7,1,6,1,30,1,13,1,9,1,17,9,12,2,17,3,12,1,17,1,24,1,12,1,24,1,12,1,8,2,12,1,6,1,12,1,24,1,17,1,24,1,6,1,8,1,24,1,8,1,24,1,6,1,12,1,25,1,7,1,12,1,8,5,24,1,8,1,12,1,24,1,7,1,10,1,24,2,12,1,24,2,12,1,24,1,9,1,24,3,10,1,24,2,8,2,24,2,9,1,24,3,7,1,24,1,10,2,8,1,12,1,24,2,10,1,24,1,17,1,24,1,8,1,17,1,12,2,9,1,24,1,12,2,9,1,11,1,10,1,24,1,17,1,12,1,9,1,17,1,12,1,17,1,12,1,17,1,10,1,17,3,12,1,24,1,10,1,12,2,24,1,10,1,8,2,24,1,8,2,25,1,27,1,26,2,25,3,27,3,25,2,26,1,30,2,28,1,27,2,29,1,28,5,30,1,28,6,30,1,28,2,29,1,6,1,30,1,28,43,29,2,28,1,6,2,7,1,6,2,29,1,6,2,30,1,7,3,6,2,8,1,7,1,24,2,8,1,10,1,12,2,17,5,10,2,9,1,24,1,13,1,8,2,24,1,13,1,8,1,7,1,13,1,9,1,8,1,9,1,24,1,9,1,8,1,9,1,13,2,9,1,24,2,17,2,12,1,10,1,9,2,8,1,9,1,10,2,13,1,11,3,10,1,9,2,8,1,13,1,28,3,30,1,5,74,28,5,30,1,28,5,29,1,13,1,14,1,17,2,9,1,13,1,6,1,29,1,13,1,29,1,28,1,29,1,28,2,29,1,13,1,15,1,10,1,9,1,7,1,28,6,9,2,6,1,30,1,28,1,6,1,30,1,28,27,7,1,13,1,12,1,8,1,29,1,}, {8,1,30,1,28,33,30,1,28,1,30,1,7,2,6,1,13,2,9,1,13,1,11,1,17,3,24,1,13,1,6,1,8,1,6,2,9,1,17,2,11,1,9,1,12,1,17,1,9,3,8,1,7,2,13,1,17,1,9,1,8,1,29,2,6,3,13,1,17,1,9,1,8,1,9,3,10,1,13,1,17,1,16,1,17,3,9,3,10,1,17,1,6,1,30,1,28,14,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,7,1,13,4,15,1,17,1,9,1,29,1,6,1,30,1,28,1,29,1,30,1,28,1,9,2,17,2,24,1,8,1,9,1,8,1,13,2,7,3,6,1,13,1,8,1,9,1,15,2,24,1,6,2,28,7,29,1,30,2,28,3,13,1,9,1,8,1,13,1,8,1,13,1,24,1,9,1,8,2,13,1,9,1,8,2,13,1,8,1,7,1,24,1,13,1,8,1,13,1,9,1,8,2,13,1,9,8,11,1,8,2,13,1,9,5,8,3,9,1,8,1,10,1,9,1,11,1,9,1,12,2,10,1,11,2,17,3,7,1,28,44,29,1,28,1,6,1,29,1,30,1,28,1,29,1,13,1,8,1,28,7,30,1,28,16,29,1,8,1,7,1,13,1,24,1,8,2,10,1,12,1,10,1,17,1,9,1,12,1,9,2,12,1,9,2,24,1,8,1,24,2,6,1,8,1,28,1,6,1,7,1,28,1,30,1,29,1,28,23,30,1,28,13,30,1,6,2,13,1,24,1,8,1,9,1,10,1,8,1,9,1,12,4,10,1,12,1,10,1,12,1,24,1,10,1,12,3,17,1,12,1,10,1,12,3,17,1,9,2,24,1,12,2,24,1,17,1,10,1,17,1,10,1,17,2,12,1,17,5,12,1,17,8,12,1,17,1,12,3,13,1,12,1,24,3,8,1,24,2,8,1,24,1,10,1,8,1,10,2,12,1,17,1,10,2,12,1,17,1,12,1,17,1,9,1,12,1,10,1,9,1,24,4,29,1,6,1,30,1,28,41,29,1,28,1,30,1,29,1,30,1,6,1,13,1,8,1,24,1,13,1,11,1,24,1,10,1,24,1,12,1,17,3,12,2,11,1,9,1,12,1,7,2,30,1,7,1,28,5,30,2,28,1,30,1,6,1,7,1,29,1,6,1,30,1,29,1,6,1,7,1,13,1,7,1,13,1,6,1,8,1,13,1,8,1,24,2,12,1,24,1,10,1,9,1,8,2,9,1,8,2,10,2,9,1,12,1,9,2,24,1,9,1,8,1,9,1,24,2,6,1,24,2,8,2,13,1,8,4,7,1,24,1,8,2,7,1,13,3,6,1,7,1,29,1,13,1,7,2,29,1,13,1,7,1,6,1,13,3,7,1,13,2,29,1,8,3,6,2,7,1,29,1,8,1,25,1,6,1,8,1,13,1,25,1,7,1,8,1,7,1,24,1,13,1,8,2,13,1,24,1,13,1,8,3,6,1,24,1,13,2,8,2,10,1,24,1,13,1,17,1,24,2,12,1,10,1,24,1,12,1,24,1,10,1,24,2,12,1,9,3,10,1,12,1,10,1,12,1,10,3,12,1,11,1,17,2,10,2,17,1,12,1,17,3,10,1,17,4,10,1,17,2,12,3,24,3,8,2,13,1,24,2,9,1,24,1,10,1,9,2,17,1,9,2,10,1,9,1,17,1,10,2,17,2,12,4,17,2,12,1,17,1,12,1,17,4,12,4,17,3,9,1,8,2,13,1,28,1,30,2,28,9,30,1,13,1,7,1,8,1,9,1,11,1,16,1,5,452,8,2,7,1,13,1,7,3,13,4,7,2,13,1,6,4,10,1,9,2,11,2,17,2,12,1,17,1,10,2,17,1,12,2,13,1,17,1,11,1,8,1,12,1,11,2,17,1,10,1,12,1,17,4,11,1,17,1,11,1,12,1,17,1,11,1,17,42,11,1,17,1,9,1,17,1,16,1,17,1,11,1,9,1,11,2,16,1,11,1,10,1,16,3,17,2,16,1,17,2,16,2,11,1,16,3,11,1,16,1,11,3,17,2,10,1,16,1,17,11,11,1,17,15,11,1,13,1,6,1,8,2,24,1,8,1,24,1,8,1,24,1,25,1,8,1,25,1,24,1,8,1,24,1,13,1,24,1,8,2,24,1,8,2,10,1,8,1,24,1,6,1,13,1,8,1,6,1,13,1,8,1,9,2,8,2,11,3,16,4,17,1,16,3,11,1,16,1,11,1,8,1,9,1,8,2,9,1,6,1,9,1,8,5,13,2,8,1,13,2,8,1,13,1,10,1,9,2,11,1,16,1,10,1,16,2,17,1,16,1,11,1,9,1,13,1,8,2,9,1,10,1,9,2,11,1,10,1,7,1,13,1,8,1,9,3,13,1,9,7,13,1,11,1,16,1,17,2,11,1,16,3,11,2,16,3,17,3,16,1,17,1,16,1,11,1,16,3,11,1,16,1,11,1,9,1,11,1,9,1,8,1,9,2,8,2,9,1,8,1,9,1,8,1,9,1,10,1,11,1,9,3,8,1,9,1,13,2,28,3,30,1,28,1,30,1,29,1,30,1,28,1,29,2,28,1,29,1,30,3,28,1,30,1,28,1,6,1,28,1,6,1,28,2,30,4,29,1,28,1,30,1,28,18,30,1,28,1,7,1,28,14,29,1,6,1,29,1,13,1,8,3,13,1,6,1,10,1,13,1,29,1,7,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,6,1,28,32,6,1,30,1,6,1,17,4,9,1,11,1,12,1,9,2,10,1,12,1,11,1,10,1,9,2,11,1,8,1,9,1,8,2,6,1,7,1,30,1,28,199,30,1,28,2,30,1,28,4,30,1,28,1,6,1,30,1,29,1,6,2,29,1,7,1,6,1,30,2,29,1,28,1,30,1,28,2,29,1,30,3,29,1,28,1,30,1,28,15,30,1,28,5,30,1,28,5,30,3,6,1,28,1,6,1,13,4,9,1,8,1,7,1,13,3,8,1,10,1,13,2,11,1,13,4,29,1,8,1,29,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,28,1,29,1,13,1,6,1,13,1,30,1,13,1,9,1,11,1,17,1,11,1,17,9,10,1,12,3,10,1,12,1,24,1,10,1,25,2,24,1,25,1,8,1,25,1,8,1,25,1,24,1,8,1,25,1,24,1,25,1,8,1,25,1,8,1,24,1,25,1,10,1,6,1,24,3,25,1,8,1,10,1,8,1,24,1,8,1,12,1,8,1,12,1,8,1,24,1,10,1,8,1,10,1,8,1,24,1,13,1,10,1,24,1,8,2,10,1,8,1,24,1,8,2,12,2,24,1,12,1,7,1,10,2,8,1,17,1,24,1,17,1,24,3,17,2,12,1,17,1,9,1,10,1,12,1,17,1,12,1,24,1,17,1,10,1,17,1,12,2,17,1,12,1,17,2,10,1,17,1,12,1,17,1,12,2,9,1,12,1,10,1,24,1,8,1,24,1,25,2,27,1,25,1,27,1,25,1,30,2,26,1,25,2,30,1,25,2,27,1,29,2,27,1,30,1,27,1,28,1,29,1,28,11,30,1,28,2,27,1,28,2,26,1,6,1,28,43,29,1,30,3,7,1,30,1,28,1,6,1,29,1,30,2,6,1,7,1,6,1,13,1,6,1,13,1,29,1,8,2,6,1,8,1,24,1,12,2,17,5,11,2,17,1,8,1,10,1,9,1,8,1,9,1,8,1,10,3,13,1,8,1,10,1,13,1,8,3,9,1,8,1,11,1,10,1,11,2,8,1,9,1,8,2,24,1,10,1,11,1,8,1,10,1,9,2,8,1,11,1,17,1,8,1,10,1,6,2,29,1,30,1,6,1,5,74,28,5,30,1,28,1,30,1,28,3,30,1,13,1,14,1,17,2,11,1,8,1,29,1,30,1,29,1,30,1,29,2,6,1,28,1,7,1,6,1,9,1,12,1,11,1,6,1,28,6,24,1,9,1,28,1,29,1,28,1,30,2,28,27,7,1,10,1,14,1,13,1,24,1,}, {8,1,6,1,28,1,30,1,28,2,30,1,28,12,29,1,30,2,28,15,30,1,29,1,6,1,7,1,13,1,6,1,8,1,13,1,12,1,16,1,17,1,16,1,9,1,8,1,13,2,6,2,9,1,17,2,9,2,11,1,17,1,10,1,12,1,14,1,8,1,29,1,6,1,8,1,17,1,13,2,6,1,7,1,29,1,6,1,30,1,29,1,17,1,24,1,9,1,8,1,9,2,10,1,9,1,12,1,17,4,10,1,8,3,11,1,13,1,28,2,30,1,28,9,29,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,6,2,13,3,8,1,17,2,8,1,29,1,6,1,29,1,30,1,28,1,29,1,28,1,24,2,17,1,9,1,12,1,24,1,8,1,24,1,8,1,13,2,29,1,7,2,13,1,9,1,12,2,10,1,12,1,6,1,28,8,30,1,28,1,30,1,28,2,30,1,6,1,12,1,13,1,9,1,13,1,8,4,13,1,8,1,13,1,9,2,8,1,9,2,8,1,13,1,8,1,13,2,8,1,9,2,8,2,9,1,8,1,9,2,8,2,9,1,13,1,8,1,10,1,9,2,8,1,9,4,11,1,9,2,11,1,10,1,11,2,17,1,11,3,16,1,17,2,13,1,28,42,29,1,28,2,30,1,29,1,30,1,6,3,29,1,28,1,30,1,28,7,30,3,29,1,28,14,6,2,7,2,8,1,24,1,9,1,10,2,17,1,11,1,9,3,12,1,9,1,8,1,24,1,13,1,7,1,30,2,29,1,6,1,29,1,30,1,28,40,6,2,8,2,10,1,9,1,24,1,9,1,12,1,9,1,10,3,12,1,9,1,10,1,24,1,10,1,12,2,17,1,12,3,15,1,17,1,15,1,12,1,10,1,9,1,24,1,10,1,9,1,10,1,12,1,24,1,17,1,12,1,17,1,12,3,17,2,9,1,17,1,12,1,10,1,12,1,17,11,12,3,24,2,8,2,24,2,25,1,24,2,10,2,12,5,24,1,12,1,17,2,10,1,9,1,13,1,24,3,8,1,7,2,30,1,28,1,30,1,28,44,30,2,13,1,6,1,13,1,24,1,9,1,24,1,13,1,10,2,11,2,17,4,10,2,11,1,9,1,13,1,24,1,7,1,28,1,30,2,6,1,30,1,6,2,29,1,6,1,7,3,8,1,24,2,10,1,8,1,7,1,6,1,24,1,7,1,13,1,8,2,12,1,9,1,8,1,24,1,10,1,24,1,8,3,9,3,8,1,17,1,10,1,17,1,10,1,9,3,8,1,24,2,9,1,24,2,9,1,24,2,17,1,12,1,8,4,13,1,8,1,13,3,9,1,7,2,9,1,13,1,8,1,13,1,6,1,13,1,8,4,7,1,25,1,6,1,8,1,6,1,7,1,6,1,13,1,7,1,6,1,7,1,6,1,8,1,6,2,7,2,8,2,13,2,8,1,7,1,8,1,13,2,8,1,6,1,8,3,24,3,9,1,10,1,24,1,12,1,10,1,24,1,17,1,9,1,12,1,9,1,8,1,24,2,10,1,24,1,12,1,10,1,24,1,11,1,10,1,9,1,8,1,24,1,9,1,12,3,10,1,17,1,9,1,17,1,12,1,17,2,10,1,17,1,12,1,11,2,17,1,11,1,17,1,12,1,17,4,12,1,17,1,12,1,17,1,9,1,10,2,24,2,10,1,24,1,10,1,24,1,12,4,9,1,12,1,11,1,12,4,17,2,10,1,11,1,17,2,12,1,11,1,17,12,9,1,28,17,30,1,28,1,30,1,6,1,13,1,8,2,9,3,11,1,5,448,13,3,7,2,13,4,7,1,8,1,7,2,13,1,7,1,29,1,6,1,29,1,24,1,13,1,9,1,12,2,17,2,12,1,17,1,11,1,10,1,17,1,9,1,12,4,10,1,11,1,12,2,17,3,12,1,17,3,12,1,17,1,12,1,17,2,11,1,17,43,16,2,17,2,11,1,17,1,9,1,13,1,9,1,11,2,16,2,17,1,16,2,17,1,16,6,11,4,17,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,3,17,1,16,1,17,2,16,1,17,18,24,1,8,2,24,1,13,1,8,2,24,1,8,2,25,1,8,1,25,1,8,1,7,1,24,1,8,1,24,1,8,1,13,1,7,1,9,1,24,1,13,1,8,1,13,1,6,1,24,1,6,1,13,1,8,1,24,1,8,1,9,1,8,1,11,2,16,1,11,2,16,2,17,1,16,1,11,1,17,2,10,1,9,2,10,1,8,2,13,1,8,2,13,2,8,1,13,1,8,1,13,1,9,1,8,2,9,2,8,1,12,1,9,3,11,3,16,1,17,1,11,1,8,1,13,1,8,2,9,1,8,1,13,1,8,1,10,1,11,1,9,1,13,1,9,1,8,1,13,1,8,1,9,2,8,1,9,2,10,1,9,1,13,1,9,1,11,1,16,1,11,1,16,5,11,2,9,1,11,1,16,2,17,1,16,2,17,2,16,1,17,1,16,2,11,4,10,2,9,5,8,1,10,1,9,1,8,2,10,2,12,1,9,6,13,2,6,1,29,1,6,2,30,3,28,2,6,1,28,1,6,2,28,1,30,4,6,1,30,3,28,2,30,1,29,1,30,3,28,8,30,1,28,11,30,1,28,17,6,2,13,1,8,1,24,1,13,3,8,1,7,1,13,1,28,1,13,1,29,1,28,3,30,1,28,6,6,1,28,1,30,2,28,29,29,1,9,1,12,1,17,3,10,1,8,1,11,1,10,1,9,1,8,1,9,1,13,1,9,2,11,1,9,4,13,1,6,2,28,199,30,1,6,1,28,3,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,2,6,1,28,1,6,3,29,2,28,1,29,1,28,1,7,1,28,1,6,1,30,1,29,1,28,1,7,1,30,1,6,2,30,1,6,1,30,1,13,1,6,1,30,1,6,1,13,1,6,1,30,1,7,1,30,2,13,1,6,1,28,1,6,1,30,2,13,1,6,1,29,1,28,1,29,1,6,2,13,2,6,2,7,1,9,1,13,1,9,2,8,1,9,1,8,1,13,1,10,1,8,1,13,3,9,1,13,1,8,1,13,2,8,1,13,1,6,1,8,2,13,1,30,1,13,2,7,1,28,1,30,1,6,1,28,1,13,1,30,1,6,1,13,1,28,1,13,2,9,1,10,1,11,1,17,7,12,1,17,1,12,1,17,1,8,1,12,1,24,2,8,1,24,3,25,1,10,1,24,2,25,3,26,2,8,1,25,1,24,1,8,2,25,1,24,4,25,2,8,1,24,1,8,2,10,1,24,2,10,1,12,1,8,1,24,1,17,1,8,1,24,1,7,1,24,3,8,1,10,1,13,1,8,1,10,1,24,2,12,1,9,1,10,1,12,1,9,1,12,1,9,2,10,1,12,2,24,1,12,1,10,1,17,1,8,1,12,1,17,1,12,1,17,1,12,2,24,1,12,1,24,1,17,1,8,1,10,1,17,1,12,1,17,1,9,1,17,2,11,1,17,2,9,1,10,2,8,2,17,1,24,2,25,2,24,1,25,2,24,1,25,1,27,1,26,1,8,1,27,2,25,1,29,1,25,1,29,1,27,1,26,1,25,1,26,1,29,1,25,1,27,1,29,1,30,1,28,2,30,1,28,8,29,2,28,1,25,2,6,1,29,1,28,40,30,1,28,4,6,1,29,1,28,1,29,1,28,1,6,1,30,1,7,1,6,2,28,1,7,1,30,1,7,1,29,1,7,1,8,2,24,1,7,1,24,1,12,1,17,1,12,1,17,4,12,1,17,1,9,1,11,2,10,1,9,2,13,2,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,10,1,9,1,11,1,10,2,9,2,8,2,13,1,24,1,13,1,11,1,10,1,17,1,12,1,24,1,10,1,9,2,24,1,8,1,13,1,7,1,28,1,6,1,5,74,28,12,7,1,17,3,9,1,13,1,29,1,28,3,6,1,28,3,6,2,9,1,16,1,17,1,6,1,28,6,8,1,10,1,6,1,30,2,29,1,6,1,28,27,13,1,14,2,9,1,8,1,}, {8,1,13,1,28,18,30,1,28,16,30,1,6,1,7,2,13,1,8,1,9,1,24,1,9,1,17,3,13,1,8,1,6,2,8,1,13,1,8,1,17,3,10,1,17,1,16,1,17,1,15,2,8,1,13,1,30,1,24,1,17,1,9,1,6,3,13,1,6,1,13,1,7,1,9,1,17,1,9,1,12,2,9,3,16,1,17,3,16,1,8,2,9,1,8,1,24,1,8,1,28,12,30,1,28,1,30,2,28,1,30,1,29,1,28,1,30,1,28,1,29,2,6,2,13,1,8,1,13,1,24,1,12,1,17,1,12,1,30,1,13,1,30,1,28,1,30,1,28,1,30,1,13,1,17,2,12,1,10,1,14,1,8,1,10,1,11,1,7,1,13,1,6,1,13,2,30,1,8,2,9,3,30,1,28,1,30,1,28,4,30,1,28,3,30,1,6,1,28,2,13,1,10,1,8,4,13,1,9,2,8,1,9,1,8,1,9,1,13,1,9,2,13,4,9,1,8,1,13,2,9,1,13,1,8,1,9,1,13,1,9,2,13,4,8,3,13,2,9,4,11,1,9,2,10,1,11,5,9,1,11,1,17,1,16,1,11,1,28,45,30,2,29,2,30,1,29,2,7,1,30,1,28,4,30,1,28,1,30,1,6,1,30,3,6,1,28,16,29,1,24,1,8,3,12,1,10,1,11,1,9,2,11,1,9,1,8,2,24,1,8,2,29,1,6,1,30,3,28,5,30,1,28,36,30,1,6,1,7,1,24,1,9,1,8,1,9,1,12,1,9,1,12,1,9,4,10,1,12,1,9,1,12,1,24,1,12,2,9,1,17,1,12,1,17,1,12,1,24,2,12,2,17,1,12,2,17,1,12,1,10,1,17,1,12,2,17,1,12,1,17,5,12,2,17,1,12,1,17,9,10,1,24,1,8,1,12,1,13,1,8,1,24,1,8,2,24,1,8,1,24,2,8,1,12,2,24,1,12,1,10,2,17,3,24,1,8,1,10,1,24,1,9,1,7,2,28,2,30,1,28,46,30,1,6,1,30,1,7,1,8,2,13,1,9,1,11,1,24,1,7,1,11,1,12,1,17,5,10,1,12,2,9,1,8,1,13,1,7,1,6,1,13,2,6,1,7,1,30,1,24,1,6,1,24,1,13,2,24,1,8,1,13,1,10,1,24,3,8,1,24,1,13,1,24,1,13,1,9,1,17,1,24,1,12,1,9,1,10,1,12,1,11,1,9,2,10,1,12,1,8,1,24,1,12,1,9,1,12,2,17,3,11,1,12,1,24,1,9,1,24,3,10,1,9,2,12,1,9,1,24,1,8,1,24,2,8,2,9,1,13,1,24,1,8,2,24,1,7,1,13,1,24,2,13,1,8,1,24,1,13,1,8,1,6,1,8,2,7,1,24,1,7,2,8,1,13,1,8,1,7,2,8,1,6,1,29,1,8,1,13,2,8,2,7,2,8,1,12,1,24,1,13,1,8,1,13,1,24,1,13,1,8,1,24,1,12,1,8,1,24,4,9,1,11,1,12,1,11,1,9,1,24,1,9,1,10,1,9,3,8,1,24,1,9,1,10,1,9,1,12,1,24,1,9,1,12,1,24,1,12,2,10,1,12,1,17,2,9,1,12,1,11,1,12,1,17,2,11,1,12,1,17,2,12,1,17,2,24,1,17,4,12,1,17,1,12,3,10,2,24,1,12,1,24,1,9,1,10,1,8,1,12,2,10,1,8,1,17,1,9,1,17,18,12,1,17,1,11,1,7,1,29,1,28,17,30,1,28,1,30,1,28,6,29,1,6,1,7,1,9,2,5,4,33,1,5,441,9,2,7,1,8,1,13,1,7,1,8,1,7,2,8,2,13,1,7,1,13,1,6,1,13,1,7,1,13,1,24,1,10,1,9,2,12,1,11,1,17,3,12,1,10,1,12,1,10,1,17,1,11,1,12,1,17,1,11,2,17,1,11,1,17,2,12,1,17,3,11,1,17,3,12,5,17,46,16,3,11,3,17,1,11,1,17,2,16,1,17,1,16,1,17,4,16,1,11,1,16,2,9,3,16,1,17,1,16,4,11,1,16,2,17,22,11,2,12,1,8,1,24,1,8,2,24,4,25,1,24,1,8,2,24,1,8,1,24,1,8,1,24,1,8,1,13,1,24,3,8,1,24,1,8,1,13,1,7,1,13,1,8,1,13,1,9,1,8,3,13,1,11,1,17,1,16,3,17,1,16,2,9,1,16,2,11,1,16,1,11,1,9,4,13,1,8,1,13,2,8,1,24,1,13,1,8,1,24,1,9,3,8,1,11,1,9,3,10,1,17,1,9,1,11,3,9,1,8,2,13,1,8,1,13,1,24,1,8,2,10,1,12,1,10,1,9,1,13,1,8,1,9,4,12,1,9,1,11,1,9,2,8,1,9,3,17,2,16,4,11,1,9,1,11,1,16,1,17,6,16,5,11,1,16,1,11,1,16,1,11,3,9,1,10,1,11,1,9,1,13,1,9,1,13,2,8,1,9,2,10,1,9,1,10,1,11,2,9,2,8,3,13,2,7,1,6,2,29,1,6,1,28,1,30,1,29,3,28,1,7,1,30,1,29,1,30,2,29,1,28,1,30,4,28,1,30,2,29,1,30,1,6,1,30,1,28,2,30,1,28,3,30,1,28,10,30,1,6,1,28,16,6,1,29,2,8,1,6,1,9,1,13,1,8,2,13,1,6,2,30,2,7,1,28,5,29,1,28,5,29,1,28,30,6,1,13,1,11,1,9,1,10,1,12,1,10,1,9,2,8,1,9,1,8,1,9,2,8,1,10,1,9,1,8,1,13,4,30,2,28,174,30,2,28,2,30,2,6,1,28,1,30,1,6,1,29,2,28,1,6,1,30,1,28,1,30,1,6,3,13,2,6,3,7,1,6,2,7,3,13,1,8,1,13,4,8,4,13,1,6,1,9,1,13,2,9,2,8,2,13,1,8,1,13,1,9,3,13,1,9,3,13,1,9,1,13,1,8,1,13,2,9,1,13,1,10,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,6,1,13,1,8,1,9,2,8,3,11,1,9,1,13,1,10,1,9,1,8,1,9,1,13,3,9,1,7,1,8,2,13,3,7,2,8,2,13,1,9,1,13,1,8,2,13,2,8,1,6,2,13,1,28,1,6,1,13,1,7,1,6,1,8,2,11,1,17,1,9,1,17,6,12,1,17,1,10,1,17,1,10,1,12,1,24,1,10,1,24,2,25,1,24,1,8,1,25,2,10,1,27,1,25,1,8,1,24,2,25,2,24,1,25,1,8,1,24,2,25,1,24,2,8,2,26,1,25,2,24,1,8,1,10,1,8,1,12,1,24,1,10,1,24,3,10,1,17,1,24,1,8,1,12,1,13,1,12,2,10,1,8,2,24,1,8,1,24,4,12,1,24,2,10,1,8,1,12,1,9,1,12,1,10,1,12,4,10,1,12,2,10,1,8,1,10,1,9,1,8,1,17,1,11,1,17,1,12,2,9,1,17,3,12,1,17,1,10,1,12,2,17,1,12,1,24,1,8,1,24,3,25,1,24,1,26,1,27,2,25,3,26,1,25,1,29,1,25,1,27,2,25,1,26,1,27,1,29,1,30,1,28,2,29,1,28,3,30,2,28,4,29,1,30,2,28,3,25,1,6,1,7,2,28,24,30,1,28,3,30,1,28,14,30,1,28,2,30,1,28,1,30,2,29,1,28,2,29,1,28,1,30,1,7,1,29,1,7,1,29,1,30,1,13,1,7,1,6,1,12,1,24,1,8,1,13,1,12,1,17,4,12,2,17,1,11,2,9,1,10,1,11,1,8,1,9,1,10,2,9,1,8,2,13,1,8,1,9,1,8,1,9,2,12,2,9,1,10,2,13,1,10,1,24,1,8,2,11,1,12,1,11,1,9,3,8,1,24,1,13,1,8,1,13,2,30,2,5,74,28,11,30,1,9,1,17,3,9,1,10,1,13,1,28,3,30,2,28,2,30,1,6,1,9,1,15,1,9,2,28,5,30,1,17,1,8,1,6,2,7,1,6,1,30,1,28,27,13,1,14,1,24,1,9,1,8,1,}, {9,1,6,1,28,17,30,1,28,1,30,1,28,3,30,1,28,12,6,2,8,1,13,1,9,3,24,1,9,1,17,1,11,1,8,1,13,1,6,1,30,1,8,1,7,2,17,2,11,1,17,2,12,1,11,1,10,1,15,1,9,2,6,1,8,1,10,2,8,1,13,1,6,2,7,2,9,2,17,1,10,1,24,1,11,1,8,1,9,1,13,1,10,1,17,1,12,1,17,2,9,3,13,1,9,1,8,1,28,11,30,1,28,3,29,1,30,1,28,2,30,4,29,1,30,1,6,1,7,2,8,1,13,1,11,1,17,1,16,1,6,5,28,2,7,1,12,1,17,1,9,2,8,1,24,1,9,1,12,1,6,1,24,1,13,4,24,1,9,1,10,2,9,1,29,1,30,1,28,1,30,3,28,2,30,1,28,1,30,2,28,1,30,1,28,1,6,1,11,1,13,1,8,1,13,1,9,2,13,2,8,3,9,1,7,1,13,1,8,1,13,2,9,2,8,2,9,1,13,1,8,3,9,1,13,1,8,1,13,1,9,1,8,3,9,2,8,1,9,1,10,1,9,3,11,2,9,2,10,1,9,2,10,1,12,1,11,1,9,1,11,1,17,1,9,1,30,1,28,46,30,1,29,1,6,1,29,2,30,1,28,1,29,1,28,3,29,1,30,3,6,1,30,1,28,19,30,1,6,1,8,1,24,1,6,1,12,1,9,1,12,1,10,1,17,1,24,1,9,1,24,1,13,2,8,1,13,1,29,1,30,1,29,1,7,1,28,44,7,1,13,1,8,1,10,2,12,1,8,1,9,1,10,2,17,1,9,1,10,2,24,1,9,1,12,1,8,1,12,3,17,1,24,1,12,1,24,1,12,1,10,2,12,1,24,1,10,1,17,1,10,1,17,2,12,1,17,11,12,1,17,3,12,1,17,5,10,1,8,1,12,1,8,3,24,2,25,1,8,1,24,4,10,1,24,3,12,3,8,1,10,1,8,1,9,2,8,1,29,1,28,3,29,1,28,48,30,1,28,1,7,1,6,1,24,1,8,1,24,1,11,1,10,1,9,1,11,2,12,1,17,4,12,1,17,1,10,2,17,1,9,1,8,2,24,1,13,1,8,1,13,1,10,1,8,1,9,1,8,1,12,1,10,1,12,1,9,1,10,1,24,1,12,1,24,1,10,1,12,1,10,1,12,2,10,1,12,1,17,2,11,1,10,1,9,1,17,1,12,1,10,1,17,1,13,1,12,1,13,1,10,1,11,2,12,2,9,1,12,1,9,2,12,1,17,1,12,1,10,1,9,1,10,1,24,1,10,1,9,1,12,1,8,1,10,1,12,1,9,2,13,2,24,1,8,2,24,2,8,1,24,2,8,1,13,2,24,2,7,1,24,2,8,3,13,2,24,1,8,1,24,1,6,1,7,1,13,1,8,1,7,1,24,2,6,1,8,1,9,1,8,2,7,1,8,2,24,2,9,1,24,3,10,1,9,1,12,1,8,1,10,2,9,1,17,1,12,1,17,1,12,1,11,2,9,4,10,1,9,2,10,2,9,1,10,1,24,1,9,1,11,1,12,1,17,1,10,1,12,2,17,1,12,2,17,1,10,1,17,2,12,1,17,5,11,1,17,3,11,1,17,1,11,1,12,1,17,3,12,2,10,1,12,1,17,1,9,1,12,2,10,1,12,1,24,1,9,1,10,1,12,1,9,1,11,1,12,1,9,1,17,4,12,1,17,12,13,1,28,23,30,1,28,3,30,1,28,2,30,1,28,1,30,2,6,1,13,1,17,1,16,1,6,1,28,4,33,1,5,438,13,2,7,2,24,1,13,1,7,1,8,1,7,2,13,1,6,1,13,1,7,3,28,1,13,1,8,1,13,1,9,1,12,1,17,2,12,1,17,2,12,2,11,1,17,1,9,2,17,1,8,1,17,1,11,1,17,2,11,2,12,1,17,2,11,2,17,3,11,1,12,1,17,50,11,2,17,1,11,1,9,1,10,1,9,1,16,1,17,1,11,1,16,1,17,4,16,4,11,2,16,1,11,2,17,1,11,4,16,2,17,5,16,1,17,16,12,1,17,1,10,1,24,1,8,1,24,1,8,2,24,1,8,2,24,1,25,1,24,1,25,1,24,1,8,2,24,1,8,1,13,1,24,2,8,1,10,1,8,2,7,1,9,1,13,3,8,1,13,1,8,1,9,4,12,1,11,2,17,1,11,1,16,2,11,1,16,3,11,3,8,1,13,1,8,1,9,1,8,1,10,1,8,2,9,1,8,3,24,1,13,1,8,1,11,1,9,1,8,1,9,1,11,1,12,2,9,3,13,3,8,1,13,1,8,2,24,2,9,1,8,1,9,1,11,1,13,1,9,1,8,1,9,1,13,1,8,1,10,2,9,1,11,5,9,1,16,3,17,1,16,1,11,4,16,1,17,1,16,1,17,5,16,4,11,1,16,2,11,2,16,1,11,1,9,1,10,1,9,2,10,1,9,5,8,1,10,2,9,1,11,1,9,1,11,2,10,1,13,3,10,1,9,1,13,4,6,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,6,1,29,1,6,1,30,1,28,1,7,1,29,1,28,1,30,1,28,6,29,1,28,10,6,2,28,16,30,1,7,1,30,1,13,3,9,1,6,1,13,1,6,1,8,1,6,1,30,1,28,1,29,1,28,3,30,1,28,36,30,2,9,1,11,1,9,2,11,1,10,1,12,1,8,1,9,4,24,1,9,2,13,2,7,1,13,1,8,1,13,1,6,1,28,172,6,1,29,1,13,2,6,1,13,2,9,3,17,2,12,1,17,3,11,1,12,1,17,3,12,1,17,5,12,1,17,7,11,1,17,1,9,1,17,4,11,1,12,1,11,1,17,1,12,1,17,1,10,1,11,1,17,1,12,1,17,1,10,1,17,1,11,1,17,1,10,1,12,1,11,1,17,1,11,1,10,1,11,1,9,1,11,1,17,1,12,1,17,2,11,1,12,1,9,3,8,1,9,1,13,1,8,1,9,2,8,1,9,1,8,2,9,4,8,1,9,3,12,1,9,5,8,1,9,1,13,6,6,1,13,2,6,1,13,2,6,1,7,1,13,1,6,1,13,1,7,1,8,1,13,2,8,2,6,1,7,1,6,1,13,2,6,2,13,4,8,1,9,2,11,2,12,1,17,3,12,1,17,2,12,3,24,1,8,1,10,1,8,1,10,1,24,1,27,1,24,1,8,1,25,4,8,1,25,1,24,1,8,1,24,1,25,1,24,1,8,1,25,1,26,1,24,1,25,1,24,1,27,1,25,1,24,2,8,1,10,1,24,2,8,1,24,4,12,1,8,2,24,1,8,1,24,2,10,1,8,1,24,1,12,1,10,1,24,1,12,1,8,1,10,1,24,2,8,1,10,1,12,1,10,1,8,1,12,1,17,1,10,1,17,2,10,1,12,3,24,1,12,1,24,1,10,1,12,2,24,1,9,1,10,2,17,1,12,1,17,2,12,1,17,3,12,1,9,1,24,1,12,1,10,1,12,1,10,2,24,1,8,2,25,1,26,1,25,1,29,1,27,1,25,1,29,1,27,1,29,1,26,1,27,1,25,1,29,3,8,1,27,1,25,1,28,3,30,1,28,1,6,1,28,1,30,1,28,7,30,1,28,2,26,1,29,1,7,2,28,21,30,1,28,1,6,1,28,21,30,1,28,4,30,1,28,4,6,1,29,3,7,1,6,2,13,1,8,1,13,1,8,3,24,1,10,1,17,4,12,1,10,1,17,1,11,1,17,2,12,1,10,2,11,1,8,2,24,1,9,2,10,1,11,1,9,1,17,1,12,1,11,1,10,1,6,1,9,1,13,2,8,1,11,1,8,1,12,1,11,1,9,1,10,1,12,1,8,1,9,1,8,1,9,1,8,1,10,1,8,1,30,1,6,1,7,1,13,1,5,73,28,12,9,1,14,1,17,2,12,1,8,1,7,1,29,1,28,6,29,1,6,1,13,1,14,1,9,1,13,1,28,6,15,1,9,1,7,1,6,1,29,3,28,27,8,1,14,1,8,1,9,1,13,1,}, {16,1,13,1,30,1,28,3,30,2,28,12,29,1,28,13,30,1,28,3,7,1,29,1,6,1,13,2,24,1,9,1,13,1,17,1,9,1,17,1,10,1,13,2,29,1,8,1,13,1,30,1,17,2,11,1,12,1,17,2,12,2,14,1,15,1,13,3,9,1,15,1,7,1,13,1,29,1,8,1,6,1,7,1,6,1,13,1,12,1,11,1,8,3,24,1,8,1,12,3,16,1,9,1,24,1,13,1,8,2,9,1,13,1,30,2,28,16,6,1,30,1,28,1,29,2,30,1,6,2,7,1,13,1,7,1,13,1,8,1,14,1,12,1,13,1,28,1,6,1,30,1,6,1,30,1,6,2,12,1,17,1,12,1,9,1,12,1,10,1,13,1,9,1,24,1,8,1,13,1,6,1,7,1,13,1,8,1,24,1,15,1,12,2,13,1,30,1,28,1,30,1,28,5,30,1,28,4,30,1,13,1,9,1,8,1,9,1,13,2,9,1,8,1,13,1,8,1,13,1,8,1,7,1,13,1,9,1,8,1,6,1,13,1,9,1,8,1,13,1,9,1,13,2,8,2,9,1,13,1,8,1,9,1,8,2,13,1,9,6,10,1,11,1,9,2,11,1,9,1,11,3,10,1,11,5,10,1,11,1,28,46,30,1,7,1,28,1,6,1,29,1,6,1,29,1,28,1,30,4,29,1,28,1,29,1,6,1,28,1,6,3,30,1,28,18,7,2,8,2,10,1,9,1,12,1,24,1,12,1,8,1,24,1,8,1,6,1,7,1,6,1,30,1,29,1,28,45,6,3,8,1,24,3,9,1,12,1,24,2,12,1,24,1,17,1,9,1,10,2,12,2,24,1,12,2,10,1,12,1,10,2,24,1,8,1,10,3,24,1,17,1,12,1,17,2,10,1,12,1,17,3,12,1,17,4,12,1,17,11,12,1,9,1,8,2,24,3,25,1,8,2,25,1,8,2,25,2,8,1,24,4,8,1,10,1,8,1,24,1,29,1,24,1,30,1,29,2,28,52,30,1,28,1,29,1,7,2,24,1,13,1,24,1,12,1,10,2,12,1,17,5,12,1,17,1,12,1,11,2,9,2,10,1,24,1,17,1,9,1,10,1,12,4,17,1,9,1,12,1,9,1,10,2,12,1,8,1,12,1,10,1,17,2,12,2,17,1,10,1,12,3,11,1,12,2,11,1,10,2,12,1,9,1,17,1,24,1,9,1,11,1,9,1,12,1,24,1,8,1,17,1,8,1,10,1,12,1,10,1,12,1,17,1,12,2,10,1,17,1,12,5,10,1,8,2,24,3,10,1,24,1,13,1,24,1,10,1,24,4,8,1,17,1,12,1,8,1,24,1,8,2,12,1,8,1,13,1,8,1,24,4,7,1,24,2,13,1,10,1,24,1,8,1,13,1,24,1,10,1,8,1,9,1,10,1,13,1,9,1,10,1,24,2,11,1,8,2,9,1,17,1,8,1,10,1,9,1,24,1,12,1,17,2,12,1,24,1,12,1,11,1,9,1,12,3,17,1,9,1,24,1,12,1,24,1,9,1,12,1,10,1,12,1,10,1,12,2,17,3,11,1,12,2,17,2,12,1,11,1,9,1,12,1,17,1,10,1,12,1,11,1,12,4,11,1,12,1,17,1,12,2,10,1,12,2,17,1,12,3,9,1,12,2,11,1,10,1,12,4,17,4,12,1,17,9,10,1,13,1,30,1,28,28,30,1,28,2,30,1,28,1,29,1,28,3,30,2,6,1,13,1,8,1,13,2,28,3,5,436,13,1,9,1,8,2,13,3,29,1,13,2,7,1,8,1,9,1,6,1,30,1,6,2,13,1,8,1,9,1,11,2,17,1,12,1,17,3,11,1,12,3,10,2,12,1,11,1,9,1,12,2,17,1,11,1,17,1,11,2,17,2,9,1,17,3,11,2,17,50,11,1,16,1,17,1,16,2,17,1,9,1,17,1,11,1,16,2,17,6,16,3,17,1,16,2,17,1,11,1,16,1,17,1,16,2,11,1,17,2,16,2,17,1,16,1,17,1,16,1,17,15,12,1,17,1,11,1,24,2,8,2,25,1,24,1,8,1,24,1,8,1,24,1,25,1,24,4,13,1,24,5,9,1,24,1,8,1,24,1,8,4,13,2,8,1,9,1,8,1,13,1,10,1,16,1,9,2,11,1,9,1,17,1,11,1,17,1,11,1,16,1,11,4,10,1,9,2,10,1,13,1,9,1,24,1,8,2,13,1,9,1,24,1,10,1,9,1,24,1,8,2,9,2,10,1,11,1,16,1,9,1,13,1,6,1,13,1,8,1,13,2,8,3,13,2,9,2,10,1,11,1,9,1,10,1,8,2,9,2,8,1,12,1,11,1,9,1,16,1,10,1,16,5,17,1,16,1,17,1,16,2,17,7,16,3,17,2,16,2,11,1,16,2,11,1,16,1,11,1,10,2,11,1,9,1,11,1,9,1,13,1,8,2,13,1,9,2,10,1,11,2,9,1,11,1,9,1,11,2,16,1,10,1,9,1,11,1,10,1,9,2,10,1,13,1,6,1,13,1,6,1,29,1,13,1,30,1,13,1,29,2,30,3,28,1,29,3,6,2,30,1,6,1,28,1,6,1,28,1,29,1,6,1,30,1,28,1,30,3,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,4,28,14,30,2,29,1,30,1,13,1,6,1,7,2,8,1,13,1,8,2,13,2,28,2,30,1,28,14,30,1,28,25,13,1,8,1,9,2,11,1,9,1,11,1,13,1,10,1,13,1,9,1,10,1,13,2,10,1,11,1,8,1,9,2,8,2,6,1,30,1,28,166,30,2,13,1,6,1,29,1,13,3,8,1,6,1,13,3,6,1,24,1,13,2,9,3,8,1,9,1,8,1,10,1,11,1,9,1,8,1,9,1,17,2,11,1,17,6,12,1,17,2,12,1,17,12,12,2,17,3,11,1,17,3,11,1,17,2,11,1,17,1,12,3,11,1,17,1,9,2,10,1,11,1,12,1,9,2,11,2,9,1,8,1,11,1,9,2,8,1,9,1,11,1,9,4,11,1,9,1,8,1,9,2,10,1,9,1,13,1,9,3,13,1,9,1,7,1,13,1,9,1,13,3,6,1,7,1,13,3,7,2,13,1,6,2,13,1,6,2,13,2,6,1,7,1,13,1,6,1,13,1,9,1,13,1,8,2,13,2,9,1,30,1,13,1,30,1,8,1,9,1,11,1,9,1,17,6,12,2,10,1,12,2,8,1,24,2,8,1,24,2,25,2,8,1,24,2,8,1,26,1,24,1,26,1,24,2,27,1,8,1,25,3,26,1,8,1,25,2,24,1,25,1,8,2,24,1,8,1,24,2,8,1,24,1,8,1,24,1,10,1,13,1,24,5,10,1,9,1,7,1,24,1,8,1,13,1,24,3,12,1,10,1,24,1,10,1,9,1,12,1,10,1,9,1,10,1,12,1,9,2,17,1,12,3,9,1,17,1,12,1,24,1,12,1,13,1,24,1,10,1,12,1,11,1,9,1,17,1,12,1,17,5,9,1,12,1,17,1,12,1,17,1,10,2,12,1,10,1,8,1,24,1,8,1,25,1,24,1,26,1,25,2,27,2,29,1,27,1,25,1,24,1,26,1,25,2,29,1,25,1,27,2,29,1,27,2,6,1,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,2,7,1,29,1,7,1,8,1,30,1,28,24,29,1,6,1,28,2,29,1,28,1,30,1,28,17,30,1,28,6,30,1,7,1,30,1,29,2,6,2,13,1,8,1,13,1,24,2,13,1,24,1,9,1,17,5,12,1,17,1,11,1,9,2,12,1,11,1,9,1,11,2,10,1,9,1,17,1,11,1,9,1,11,2,12,1,10,1,8,1,9,1,11,1,9,1,10,1,8,1,13,1,8,1,9,1,13,1,11,1,9,1,10,1,8,2,24,1,10,1,8,1,6,1,28,1,29,1,6,1,28,1,30,1,5,73,28,12,16,1,17,3,10,1,8,1,24,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,24,1,14,1,9,1,6,1,28,6,12,1,8,1,6,3,30,1,28,28,8,1,14,1,24,1,8,1,13,1,}, {11,1,6,1,30,1,28,15,30,1,28,6,30,1,28,15,6,1,8,1,9,1,8,1,9,1,17,1,16,1,17,1,24,1,13,2,6,2,7,1,6,1,10,1,17,1,11,2,17,2,10,1,11,1,9,2,13,1,7,1,13,1,9,1,24,1,9,1,13,1,6,1,30,1,6,1,13,1,29,1,10,1,12,1,9,1,13,4,9,2,11,1,17,2,9,1,10,1,13,2,8,1,9,1,13,1,30,1,28,15,29,1,30,2,6,1,28,1,6,1,28,1,6,2,7,1,6,1,13,1,7,1,6,1,12,1,16,1,11,1,13,1,28,1,29,1,28,2,30,1,29,1,6,1,11,1,17,1,12,1,11,1,17,1,9,1,13,1,8,1,9,1,8,1,13,1,6,2,8,3,12,1,17,1,12,1,7,1,28,6,30,2,28,1,30,2,28,2,30,1,13,1,8,3,13,1,8,4,13,2,8,2,13,1,9,1,8,4,7,2,13,3,10,1,13,1,9,2,8,2,9,1,8,1,9,2,10,1,11,1,10,1,9,1,11,1,10,1,9,1,11,1,10,1,9,2,10,1,11,2,9,1,11,4,9,1,10,1,9,1,28,47,29,1,28,1,29,1,30,1,29,1,28,1,30,1,28,3,29,2,6,2,29,1,6,1,29,1,6,1,28,20,29,1,30,1,7,1,13,1,24,2,8,1,9,1,13,1,24,1,13,1,24,1,6,1,7,1,28,1,30,1,28,31,30,1,28,15,6,2,8,1,24,1,8,1,10,1,9,1,24,1,12,1,17,1,10,1,9,1,24,1,9,2,10,2,9,1,10,1,24,1,10,1,24,1,10,1,12,1,24,1,17,1,24,1,10,1,12,3,9,1,17,1,12,1,17,4,12,1,17,4,12,1,17,4,12,1,17,1,11,1,17,5,12,1,9,1,24,1,13,1,24,2,13,1,12,1,25,2,8,1,24,1,8,1,25,1,8,1,24,2,25,1,24,1,25,1,8,2,25,1,24,1,8,1,7,1,6,1,28,54,30,2,28,1,6,1,8,2,24,1,9,1,17,1,12,1,11,1,12,1,17,7,12,1,17,2,11,1,9,1,11,1,9,1,24,1,10,3,9,1,12,1,17,1,12,1,17,1,9,1,17,2,24,1,17,1,10,1,12,4,17,1,12,3,17,1,12,1,10,2,17,1,12,2,11,1,9,2,8,2,12,1,8,1,9,1,17,1,9,1,10,2,12,1,17,1,24,2,12,1,10,2,24,1,10,1,17,1,12,1,24,1,12,1,17,1,10,1,9,1,24,1,10,1,8,2,24,1,13,1,8,3,24,1,10,1,12,1,10,1,24,1,10,1,24,3,6,1,13,1,8,1,17,1,24,1,8,2,24,1,8,1,24,1,8,2,24,1,9,1,8,2,24,2,9,1,12,3,10,1,9,1,10,1,24,2,9,1,24,1,12,1,24,2,11,1,24,1,10,2,17,2,10,1,17,3,12,2,10,1,8,1,11,1,12,1,9,1,10,1,12,1,10,1,9,2,12,2,11,1,12,2,11,1,17,1,12,1,17,1,12,1,17,7,12,1,17,2,12,2,17,1,10,1,17,1,11,1,17,1,11,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,9,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,11,1,12,1,17,2,12,1,17,2,12,1,17,4,12,1,17,6,6,1,28,31,30,1,28,3,30,1,28,1,6,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,7,1,13,1,10,1,13,1,11,1,30,1,6,1,33,1,5,433,9,1,13,1,8,1,13,3,7,1,13,1,8,1,13,3,29,1,6,1,7,2,6,1,29,1,8,2,13,1,17,1,12,2,17,6,24,1,12,2,17,1,12,1,9,1,11,2,12,2,17,1,11,2,12,2,11,1,10,1,9,1,11,2,12,2,17,51,16,1,17,4,16,3,17,2,16,2,17,8,16,1,17,2,16,3,17,1,16,3,17,1,16,1,17,3,11,1,16,1,17,16,10,1,13,1,8,2,24,1,25,1,24,1,25,1,8,1,24,2,8,8,24,2,8,1,9,1,24,5,8,1,24,1,9,1,24,1,13,1,9,1,8,1,10,1,11,2,16,1,10,1,16,2,11,2,17,1,9,1,11,1,16,3,11,1,10,1,9,3,13,1,9,2,13,1,9,1,8,2,9,4,17,1,10,4,11,1,13,1,6,1,13,1,6,1,13,1,6,1,24,1,13,2,9,1,13,1,8,2,9,1,17,1,11,2,9,2,8,1,13,1,9,1,11,1,10,1,17,4,16,1,17,1,11,2,16,2,11,1,17,1,16,2,17,4,16,2,17,4,16,1,17,1,16,6,17,1,11,1,16,2,11,2,9,1,11,1,9,2,8,1,9,4,10,1,9,1,11,2,17,1,9,1,11,1,10,1,11,3,16,2,11,1,9,2,11,1,12,1,9,2,24,1,7,1,13,1,6,1,29,2,6,2,13,1,30,1,6,1,30,1,6,1,29,1,6,1,28,1,29,5,30,2,28,1,29,1,30,1,28,1,30,1,28,1,30,1,29,1,30,2,28,2,29,4,30,1,28,12,6,1,28,4,30,1,29,2,7,1,6,1,13,3,8,1,13,2,7,1,13,1,28,42,13,1,8,1,11,1,9,1,10,1,8,1,10,1,8,1,13,2,8,2,9,2,8,1,7,1,24,1,8,3,6,1,28,1,30,1,28,163,6,1,7,1,13,1,8,1,7,1,13,6,6,1,7,1,13,1,8,1,6,2,13,1,7,1,6,1,7,1,13,2,7,1,6,2,29,1,6,1,30,1,6,1,30,1,13,1,7,1,6,1,13,1,6,1,13,1,11,1,9,1,17,13,11,1,17,4,12,1,11,1,17,3,12,1,17,2,11,3,16,1,17,1,11,2,9,1,17,1,10,1,11,2,12,2,17,2,11,1,9,3,10,1,9,1,10,1,9,4,10,1,9,2,11,1,9,6,13,1,10,1,8,1,13,2,9,1,13,4,6,1,7,1,13,2,7,1,6,2,13,1,28,1,13,2,6,1,8,1,13,1,29,2,13,2,7,3,13,1,7,1,13,1,7,1,6,1,7,1,13,2,30,1,6,2,30,1,13,1,9,1,13,2,12,1,17,6,12,4,24,2,8,5,24,2,8,1,25,1,24,1,27,1,24,1,25,1,26,1,24,1,26,1,8,1,25,2,8,1,24,2,29,1,25,1,26,1,24,1,8,2,24,1,7,1,8,2,24,1,9,1,8,1,24,1,12,1,24,2,10,1,24,3,12,1,24,1,10,1,24,2,8,1,10,1,24,1,12,1,9,1,12,1,17,1,24,4,9,1,24,1,17,1,9,1,17,2,12,1,10,2,12,1,11,1,10,1,9,1,12,1,10,2,24,2,10,1,12,3,17,1,12,1,17,1,12,2,17,2,12,1,17,1,12,1,17,1,24,1,9,1,12,1,8,1,24,1,25,1,24,2,25,1,27,1,26,1,27,1,25,1,29,1,27,1,26,2,25,1,27,1,29,1,25,2,27,1,25,1,29,1,26,1,27,1,30,1,6,1,30,1,28,6,30,1,28,3,30,1,28,1,6,2,7,1,6,3,28,18,30,1,28,4,29,1,30,1,6,1,28,4,29,1,28,18,30,1,28,3,30,1,28,4,30,2,29,1,6,1,7,1,13,1,8,3,13,1,10,1,12,1,17,5,12,2,17,1,12,1,11,1,10,1,12,3,17,1,12,1,11,1,12,1,17,1,11,1,17,1,10,1,11,1,9,1,13,2,11,1,13,1,24,1,9,1,13,1,9,1,24,1,10,1,9,2,10,1,13,1,8,1,9,1,13,1,6,1,13,1,30,1,6,1,28,2,5,73,28,12,16,1,17,2,16,1,9,1,13,1,6,1,28,2,30,1,28,2,6,1,28,1,6,1,30,1,9,1,14,1,9,1,29,1,28,5,6,1,17,1,7,1,13,1,7,2,6,1,7,1,28,27,9,1,14,1,15,1,13,2,}, {9,1,13,1,30,1,28,13,30,1,28,4,6,2,28,15,30,1,29,1,7,1,6,1,24,1,7,1,10,1,9,2,17,3,8,1,6,2,13,1,6,2,17,2,11,1,12,1,17,1,16,1,17,1,15,1,24,1,12,1,8,1,7,1,13,1,9,1,15,1,13,1,8,1,7,1,13,1,6,1,13,1,6,1,8,3,24,1,13,2,9,3,17,1,16,1,17,1,9,1,16,1,24,1,9,1,8,1,12,1,24,1,6,1,28,14,29,1,6,1,30,1,28,1,6,1,30,1,29,1,28,1,6,1,30,1,7,1,13,4,12,1,17,1,11,1,13,1,29,2,30,1,6,1,30,1,28,1,13,1,9,2,12,1,11,1,12,1,11,1,8,1,13,1,8,1,9,1,7,1,6,1,29,1,13,1,24,2,9,1,12,1,10,1,6,1,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,2,13,1,9,1,13,1,9,1,13,2,8,3,13,1,8,1,13,4,6,1,13,1,8,1,13,1,8,2,13,2,9,1,8,1,9,1,8,1,10,1,8,1,10,1,9,2,11,1,10,1,11,1,10,1,8,1,9,5,10,3,9,1,10,1,11,1,9,1,11,1,9,1,11,1,16,1,17,1,8,1,30,1,28,46,29,2,30,1,29,2,30,1,6,1,29,1,28,1,29,1,30,1,28,1,30,2,13,1,28,1,30,1,6,1,28,20,30,1,28,2,7,1,8,1,24,1,8,1,24,2,13,1,24,1,13,1,6,2,29,1,30,1,29,1,28,35,30,1,28,11,6,1,13,1,8,1,24,2,8,1,12,1,9,2,10,1,24,1,10,1,12,1,9,1,24,1,12,1,13,1,9,1,17,1,10,1,12,1,9,1,12,3,24,1,10,4,12,2,17,2,12,1,17,10,12,1,17,2,12,1,17,2,12,1,17,2,9,2,12,1,7,1,9,1,8,1,13,1,8,2,26,1,6,1,25,1,8,1,25,1,24,2,8,1,24,2,25,1,8,1,25,1,26,1,24,1,25,1,6,1,30,1,6,1,28,3,30,1,28,53,6,2,13,1,10,1,13,1,12,1,10,1,12,1,10,1,17,5,12,1,17,3,12,2,10,1,12,3,9,1,12,2,11,1,9,1,24,1,17,1,9,1,17,1,11,1,12,1,17,1,12,3,9,1,17,2,12,1,17,1,9,1,17,1,24,1,17,1,10,1,9,1,12,1,8,1,10,1,9,1,12,1,9,1,24,1,13,1,9,1,10,1,13,1,9,1,11,1,24,1,9,2,10,1,12,1,10,1,24,1,12,1,24,2,12,2,24,1,11,1,12,1,11,1,10,2,12,1,10,1,24,1,8,1,12,1,24,1,9,2,24,1,8,1,24,1,8,2,6,1,24,1,10,1,8,1,24,2,17,1,12,2,24,1,12,1,13,1,24,4,10,2,12,1,8,1,10,1,13,1,17,1,10,2,24,1,9,1,12,1,9,1,8,1,24,2,10,1,24,2,12,2,9,1,12,3,10,1,12,3,11,1,12,2,17,1,12,2,11,1,12,1,9,1,11,1,12,1,9,1,10,2,24,2,12,1,10,1,12,3,10,2,17,3,12,1,17,1,11,1,17,1,12,1,17,4,16,1,17,2,11,1,17,2,10,1,12,1,11,1,9,1,11,1,12,1,17,1,12,1,11,1,12,1,17,6,12,1,16,1,17,5,16,1,17,3,16,1,17,7,30,1,28,38,30,1,28,2,30,1,28,4,30,1,7,1,28,4,7,1,9,2,13,1,5,433,13,1,9,1,8,2,13,2,6,1,9,1,7,1,6,1,13,1,9,1,13,2,6,2,7,1,8,1,24,1,12,1,10,1,12,1,17,2,12,1,17,1,12,2,10,1,12,1,17,1,11,1,17,1,12,1,11,2,10,1,12,1,17,2,11,3,17,1,11,1,12,1,10,1,12,2,11,2,12,2,17,45,10,1,17,3,16,1,17,9,16,1,17,4,11,1,16,1,17,3,11,1,17,2,11,1,16,1,11,1,17,6,16,1,17,3,16,1,17,15,12,2,8,5,10,1,8,2,25,1,24,2,8,1,25,1,24,1,8,2,13,1,24,2,10,1,12,1,24,1,10,2,24,1,8,1,9,1,10,1,8,1,24,1,10,1,9,3,16,2,9,1,10,1,11,3,16,1,11,3,16,4,11,3,9,4,8,1,13,1,8,1,13,2,8,1,9,1,11,1,9,2,11,1,10,1,9,1,8,1,7,1,6,1,13,2,8,1,13,1,6,1,8,1,13,1,24,1,8,1,24,1,8,1,11,1,10,1,9,1,11,1,9,3,8,1,10,1,13,1,10,1,16,1,11,3,17,2,11,1,9,1,16,2,17,1,9,1,16,1,17,1,16,2,17,9,16,7,11,2,9,1,11,3,9,2,10,1,13,1,8,2,9,5,11,1,9,1,10,1,11,6,9,1,11,1,9,1,11,1,9,2,11,3,16,1,11,1,9,2,13,1,29,1,13,2,7,2,29,1,7,1,30,1,6,3,7,1,6,1,30,1,6,1,28,2,29,3,30,1,29,1,30,1,6,1,29,2,30,1,29,1,30,2,29,2,6,1,30,1,28,1,7,1,28,16,30,2,29,1,6,2,8,1,13,4,8,1,24,1,8,1,13,1,28,41,6,1,9,1,10,1,9,1,8,1,9,1,13,1,8,1,9,1,7,1,9,2,7,1,13,1,10,1,13,1,9,1,13,1,24,1,13,1,6,1,28,163,6,1,13,1,8,1,13,1,9,1,8,2,13,1,7,1,13,2,7,1,24,1,30,1,6,1,13,1,9,1,29,1,6,1,28,1,30,1,28,1,30,2,28,3,30,2,6,1,28,1,6,4,30,2,13,1,30,1,9,1,6,1,13,2,9,1,11,1,17,3,11,1,17,5,12,1,17,6,12,1,17,3,12,1,11,1,17,4,10,1,11,1,17,1,12,1,10,2,9,1,11,1,9,1,17,1,9,1,17,1,12,1,11,1,10,1,11,1,9,2,10,1,9,1,8,1,9,3,11,1,13,2,9,1,13,1,9,7,13,1,9,1,8,2,13,2,8,1,13,1,6,3,13,1,6,1,13,1,6,2,13,1,6,2,30,1,13,1,6,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,7,2,13,2,6,1,13,1,6,1,30,1,13,1,10,1,9,1,8,1,12,1,11,1,17,5,12,1,17,1,24,1,12,1,24,1,8,2,25,1,8,1,24,1,26,1,25,1,8,1,24,1,25,1,10,1,25,1,8,1,24,1,25,1,8,1,24,1,6,1,8,1,24,2,6,1,25,1,8,1,25,2,8,1,29,1,8,1,24,3,8,3,12,1,24,1,9,1,24,1,10,1,8,1,24,1,10,1,24,1,9,1,8,1,10,1,24,4,8,1,10,2,8,1,24,1,12,1,9,1,12,1,9,1,17,1,8,1,9,1,17,3,12,1,17,1,12,2,11,1,10,1,8,1,17,1,24,1,8,2,9,1,10,1,12,1,17,1,10,1,17,1,10,1,17,1,24,1,17,1,9,1,17,1,12,3,9,1,12,2,24,1,8,1,12,1,24,1,8,2,27,2,30,1,25,1,26,1,27,2,25,1,29,1,25,1,30,1,25,2,27,2,25,1,27,1,29,2,27,1,28,1,30,3,28,4,30,1,28,5,6,1,30,1,6,1,13,2,29,2,28,7,27,1,28,12,6,1,30,1,29,1,28,1,29,1,30,1,6,1,28,1,30,1,28,26,30,1,28,1,30,1,28,1,6,1,29,1,6,1,7,1,13,2,24,1,8,1,9,1,8,1,17,8,11,1,17,1,11,1,17,1,11,1,12,1,17,2,12,1,17,1,12,3,17,2,10,1,13,1,8,1,9,2,8,1,10,1,9,1,13,1,9,1,11,1,10,1,8,1,9,1,10,1,8,1,9,1,13,1,9,1,7,1,13,1,30,1,6,1,30,1,6,1,5,72,28,5,29,1,28,6,14,1,17,2,16,1,9,1,13,1,29,1,28,4,29,1,28,1,29,2,7,1,14,2,9,1,30,1,28,5,11,1,17,1,7,1,30,1,6,2,13,1,28,28,15,1,11,1,15,1,8,1,7,1,}, {12,1,13,1,29,1,28,36,29,1,7,1,6,1,13,1,6,1,8,1,10,1,11,1,17,3,6,1,7,1,13,2,6,1,13,1,17,3,10,1,16,1,11,1,17,1,9,1,8,3,13,1,24,1,9,1,14,1,24,1,6,1,8,1,13,1,30,1,13,2,8,1,9,1,24,1,7,1,13,1,8,1,13,1,11,1,12,1,11,1,17,2,12,1,9,1,24,1,8,1,13,1,14,1,13,1,29,1,30,1,28,16,6,1,28,1,30,3,28,1,30,1,28,1,30,1,9,1,13,2,12,1,17,1,16,1,13,1,6,1,8,1,13,1,28,1,6,1,30,1,13,1,9,1,12,1,11,1,17,1,12,1,11,1,17,2,24,1,13,1,9,1,13,1,29,1,7,2,24,1,9,1,12,1,24,2,29,1,28,1,30,1,28,5,29,1,30,2,28,3,30,1,9,1,8,3,13,1,9,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,4,7,1,9,2,8,2,11,1,13,1,8,1,9,3,10,1,9,1,10,1,9,3,16,1,10,1,9,2,11,1,9,6,10,1,9,2,11,1,9,2,17,1,9,1,13,1,30,1,28,41,30,1,28,3,30,4,29,3,28,1,29,1,28,2,6,1,28,1,29,1,30,1,28,1,6,1,30,1,28,21,30,1,28,2,29,1,8,1,13,1,24,1,8,1,24,1,29,1,13,1,7,2,6,1,26,1,29,1,28,1,30,1,28,34,30,1,28,11,6,2,24,1,8,1,24,3,12,1,10,1,24,1,9,1,24,1,8,1,24,1,10,1,9,2,24,3,10,1,9,1,12,3,8,1,9,1,24,1,12,3,17,3,12,1,17,6,12,1,17,2,12,1,17,8,10,2,8,2,24,1,8,1,24,1,6,1,8,1,13,1,26,1,25,1,27,1,25,2,24,2,25,1,8,1,24,1,25,2,24,1,25,1,26,1,30,2,28,1,30,1,28,4,30,1,28,50,30,1,28,1,6,1,24,1,8,1,24,1,8,1,10,1,24,1,12,2,11,1,17,6,12,1,17,1,12,2,10,1,12,1,10,1,11,1,24,1,12,1,8,1,9,1,17,1,11,1,12,5,11,1,17,1,9,1,12,1,17,3,9,1,17,1,12,1,10,1,17,1,24,1,12,2,9,1,8,1,12,1,24,2,8,1,24,2,13,1,8,2,9,1,8,1,9,1,10,1,9,2,13,2,24,1,8,1,12,1,17,1,10,1,12,1,9,1,11,2,12,1,9,1,10,1,9,1,24,1,9,2,24,1,8,1,10,1,24,1,17,1,12,1,10,1,24,1,17,1,12,2,24,3,8,1,9,1,13,1,8,1,9,1,10,2,9,2,10,1,12,4,24,1,9,1,17,1,9,3,17,1,8,1,12,2,9,1,11,1,9,1,24,1,10,1,17,2,12,1,11,1,17,1,11,2,12,2,17,2,10,1,17,2,12,1,11,1,12,1,11,1,12,1,11,1,12,1,10,2,9,2,12,1,9,1,12,2,10,1,11,1,12,1,17,1,10,1,11,1,12,1,17,11,12,1,17,2,12,3,17,1,12,2,17,8,10,1,17,2,16,1,17,1,11,3,9,1,16,1,5,1,16,1,5,2,16,2,17,2,16,3,9,1,28,43,6,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,6,1,28,2,6,2,28,1,5,431,13,2,6,1,8,1,6,1,7,1,6,1,7,1,8,3,7,1,6,1,13,1,6,2,30,1,13,1,10,1,13,1,10,1,17,2,12,1,10,1,17,2,12,1,17,1,9,1,17,1,12,1,17,3,11,2,17,2,11,1,12,1,17,1,12,2,9,1,17,1,12,1,17,2,11,1,17,2,12,1,17,49,16,1,17,1,11,1,16,2,17,9,16,1,17,5,16,1,17,2,16,1,17,1,9,1,17,1,16,1,17,1,16,1,17,23,12,1,13,1,8,1,24,2,25,1,6,1,24,1,25,2,8,1,25,1,26,1,24,1,8,3,24,2,8,2,24,1,9,3,24,2,8,1,9,2,12,2,9,1,10,1,9,1,11,1,9,2,16,2,11,2,16,1,11,1,16,3,17,1,16,2,17,1,16,1,10,1,11,1,9,3,8,1,11,1,9,1,8,1,9,3,12,1,10,1,12,1,9,1,6,4,13,1,6,1,13,1,7,1,13,1,7,2,24,1,8,3,9,2,8,1,10,1,9,1,10,1,11,1,9,1,11,1,9,1,10,1,11,1,10,2,16,1,17,2,11,3,16,2,17,1,16,1,17,1,9,1,11,1,17,3,16,1,17,6,16,4,11,1,9,1,11,2,16,1,11,1,16,1,9,1,11,1,16,2,9,5,13,1,9,3,11,1,9,1,11,4,16,1,11,1,17,1,11,1,16,1,9,1,11,1,16,1,9,1,11,1,16,2,11,1,16,2,17,1,9,3,13,1,6,1,7,1,13,4,6,3,29,1,7,1,6,2,29,2,6,1,30,1,29,1,6,1,29,1,7,1,30,1,29,1,30,2,6,1,28,1,29,1,30,2,7,1,30,1,7,1,29,1,28,17,29,1,6,1,13,3,8,1,13,1,6,1,9,1,24,1,13,2,6,1,28,38,29,1,13,1,9,4,13,1,9,2,7,1,13,1,8,1,9,1,13,2,10,1,13,1,8,1,13,2,7,1,13,2,28,161,7,1,13,2,8,2,24,1,13,3,6,1,30,5,28,1,6,1,28,20,30,1,29,3,6,1,30,1,28,1,6,1,29,1,7,1,6,1,9,2,17,7,11,1,17,7,11,1,17,4,12,1,17,1,10,1,17,1,12,1,11,1,10,1,11,2,17,1,11,1,10,1,17,1,10,1,16,1,17,1,11,1,10,1,9,1,17,1,10,1,11,3,9,4,10,1,11,1,10,1,9,1,13,1,10,1,9,1,8,2,10,1,9,1,13,1,8,1,7,1,13,1,29,1,6,1,13,1,30,2,29,1,30,2,6,1,30,1,6,1,28,2,13,1,30,1,6,3,13,2,30,1,13,1,6,1,30,1,6,2,7,1,6,2,30,1,29,1,6,1,13,1,7,1,29,1,7,1,6,1,13,1,8,1,9,1,8,1,9,2,17,2,10,2,12,3,24,1,13,2,8,1,10,1,8,1,6,1,24,1,8,1,24,1,25,2,8,2,25,1,8,1,25,3,24,1,8,1,26,1,8,1,7,1,25,2,6,1,25,1,8,3,24,1,8,1,7,1,8,1,24,1,10,1,8,1,10,1,9,1,8,1,12,1,10,1,9,1,12,1,24,2,9,1,8,1,24,1,8,1,24,1,10,2,8,1,24,1,12,2,24,1,10,4,17,1,9,1,12,1,17,1,9,1,11,1,9,1,17,1,12,1,24,1,10,1,24,1,13,1,10,1,9,1,12,1,10,1,13,1,24,1,12,1,24,1,17,3,9,1,17,2,12,1,17,2,10,1,24,2,12,2,17,1,24,3,8,2,24,1,25,2,27,1,30,1,27,2,25,2,27,1,26,2,27,2,8,1,27,1,8,1,30,1,28,1,26,1,30,1,28,3,29,1,28,7,30,1,28,1,30,1,6,1,29,1,13,1,24,2,7,1,6,1,28,5,30,1,28,8,30,2,28,1,29,2,6,1,7,1,6,2,30,1,28,1,30,1,28,30,30,2,28,1,7,4,8,2,7,1,13,2,10,1,17,8,11,1,12,1,17,2,12,1,17,1,12,1,17,3,12,1,17,3,9,4,11,1,10,1,24,1,9,1,8,1,9,1,8,2,10,1,8,2,10,1,8,1,9,1,13,1,6,1,30,1,28,1,6,1,28,2,33,1,5,71,28,6,30,1,28,5,16,1,17,3,8,1,6,1,30,1,28,1,29,1,30,1,29,1,28,1,30,1,28,1,30,1,13,1,9,1,15,1,8,1,28,6,12,1,17,1,8,1,28,1,30,1,6,2,28,28,15,1,14,1,15,1,24,1,6,1,}, {11,1,8,1,28,14,6,1,28,1,30,1,28,3,30,1,28,16,30,2,13,1,6,1,13,2,9,2,17,2,16,1,7,1,6,1,7,1,6,1,29,1,7,1,17,3,12,1,16,1,10,1,17,1,12,1,9,1,13,2,6,1,13,1,9,1,15,1,9,1,6,1,13,1,29,1,13,2,6,1,8,1,24,1,8,1,13,1,24,2,8,2,10,1,12,1,17,1,16,2,9,1,8,1,13,1,8,1,9,1,24,1,6,1,28,7,30,1,28,7,6,1,30,1,28,1,6,1,30,1,6,1,30,2,29,1,30,1,13,1,24,2,9,1,8,1,11,1,17,1,8,1,7,1,28,1,30,1,29,1,28,1,29,1,8,1,9,1,11,1,8,1,10,1,9,2,8,1,9,1,8,1,13,3,6,2,7,1,24,1,9,1,13,1,8,1,7,1,6,2,30,2,28,11,9,1,13,1,8,1,13,2,9,1,8,1,13,1,6,1,13,1,6,1,8,1,9,1,8,3,13,1,8,1,13,1,8,1,13,2,9,3,11,1,9,2,10,1,9,3,10,1,8,1,9,6,11,2,9,1,10,2,16,1,11,1,10,1,16,2,17,1,16,1,13,1,6,1,28,47,30,1,7,1,29,1,7,2,29,1,28,1,6,1,7,1,30,1,28,1,6,2,29,1,28,1,29,1,28,21,30,1,28,2,30,1,6,1,28,1,6,2,7,1,13,1,24,1,8,1,6,1,7,1,30,2,28,3,30,1,28,44,30,1,29,1,6,1,29,1,8,1,9,2,24,1,10,1,24,3,10,2,13,1,9,2,12,1,9,2,24,5,12,1,24,1,9,2,12,2,10,1,12,2,17,13,12,1,17,3,12,2,9,1,11,1,9,1,24,1,8,3,24,1,8,1,13,1,8,1,25,2,26,1,25,2,8,1,27,1,25,1,27,1,25,1,27,1,25,1,29,1,30,1,28,1,29,1,28,4,30,1,28,2,30,1,28,50,30,1,28,1,6,1,7,1,13,1,24,1,8,1,10,1,9,1,17,1,12,1,11,1,16,1,17,6,12,2,11,1,12,1,11,1,24,1,9,1,12,1,9,1,24,1,11,1,9,1,12,1,11,1,12,1,17,1,24,1,17,1,10,1,12,2,10,2,9,5,8,1,10,1,24,1,8,1,24,1,8,1,24,3,9,1,24,1,8,2,13,1,24,1,8,4,24,1,9,2,8,1,9,1,24,3,8,2,17,1,10,1,12,1,24,1,17,2,12,1,24,1,12,1,9,1,24,1,9,1,8,1,24,1,12,1,24,2,8,2,12,1,8,2,9,1,24,1,10,1,24,1,17,1,12,4,17,1,12,3,9,1,17,1,10,1,9,1,24,1,12,1,10,1,9,1,12,1,9,2,24,1,9,2,10,2,17,1,12,1,9,1,17,1,10,1,12,1,9,1,12,1,17,2,12,2,17,1,12,1,17,1,11,1,10,1,17,1,12,2,10,1,12,1,11,1,9,1,12,1,17,5,12,1,17,1,11,1,17,1,11,1,17,2,11,1,17,2,16,3,17,2,16,4,17,1,16,1,17,1,11,1,17,1,11,1,16,1,17,1,16,3,17,6,16,1,17,2,9,1,13,1,6,1,30,2,5,5,33,3,5,4,13,1,30,1,28,43,30,1,28,1,29,1,6,1,30,1,28,1,30,1,29,1,28,1,30,1,28,2,29,1,28,3,13,2,28,2,5,429,9,3,13,1,8,1,6,1,13,1,7,1,8,1,13,1,7,1,13,2,6,1,7,1,30,1,7,1,6,1,12,1,13,1,9,1,11,1,17,5,24,1,12,1,11,1,17,1,11,1,10,2,17,1,10,1,11,1,17,1,10,1,12,1,17,3,12,1,11,2,12,1,11,1,12,1,17,1,12,1,17,3,12,1,17,48,16,1,11,1,16,1,17,1,16,1,17,4,16,1,17,1,16,1,17,11,16,1,17,3,16,3,17,15,12,1,17,7,8,1,24,1,8,2,24,1,25,1,24,2,8,2,24,1,8,1,24,1,8,1,25,1,8,2,24,2,8,1,24,3,10,1,24,1,9,1,11,1,17,1,11,1,9,1,10,1,12,1,10,1,8,1,13,1,8,1,9,1,11,2,16,9,11,1,16,2,11,2,9,2,11,2,8,1,11,1,13,1,9,2,12,1,9,1,10,1,13,1,6,1,29,1,13,1,6,1,29,1,6,2,13,1,6,1,8,1,13,3,24,1,8,2,10,1,12,1,9,1,8,1,10,1,11,2,16,2,11,1,17,1,9,1,11,3,17,1,16,1,11,1,10,1,11,1,16,6,17,11,16,1,17,1,16,2,17,1,16,2,11,1,17,1,9,1,11,1,16,1,11,2,10,1,9,1,11,1,9,3,11,1,9,4,11,1,10,1,11,4,16,5,11,1,16,2,11,1,16,3,11,1,16,1,17,6,9,1,8,1,13,1,24,1,13,2,8,1,7,1,6,1,13,1,6,1,13,1,6,3,7,1,29,7,6,4,7,1,30,2,6,2,30,1,28,15,30,1,28,1,30,1,13,1,29,1,7,1,8,1,6,1,24,1,13,2,8,1,13,1,10,1,6,1,29,1,28,37,13,1,9,2,13,1,11,1,13,1,9,1,7,1,13,1,9,3,8,2,13,3,8,1,7,1,13,2,6,1,28,160,30,1,13,3,8,1,13,2,6,2,7,1,6,1,29,1,30,1,28,7,30,1,28,8,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,2,6,1,28,1,30,1,6,2,30,1,6,1,13,1,9,1,11,1,17,10,12,1,17,2,11,1,17,1,12,1,17,5,12,1,17,1,11,1,16,1,10,1,16,1,10,1,11,1,16,1,10,1,11,1,12,1,11,2,10,1,17,1,11,1,9,1,10,1,12,1,9,1,10,1,9,2,10,1,9,3,8,1,9,3,8,2,9,1,13,1,7,2,30,1,29,1,6,1,29,2,30,1,28,1,6,3,29,1,30,2,28,1,6,1,29,1,6,1,29,1,13,1,6,1,30,1,13,1,6,2,28,1,29,3,30,1,28,1,6,1,28,1,29,1,30,1,29,1,6,1,7,1,29,1,13,1,8,1,9,3,17,5,12,2,10,1,24,1,10,1,7,1,24,1,8,1,25,2,8,1,24,1,12,1,24,3,8,2,24,1,26,1,25,1,8,1,27,1,8,1,12,1,25,1,8,1,25,3,24,1,6,1,25,2,8,2,9,1,24,4,8,1,10,1,8,1,12,1,24,1,10,2,24,2,12,1,8,1,24,1,12,1,17,1,24,1,10,1,9,1,24,1,17,2,9,2,24,2,10,1,17,1,10,1,17,3,12,1,9,2,13,1,24,1,10,1,24,1,8,2,24,1,10,1,12,2,17,3,10,1,12,1,9,1,17,1,12,1,17,1,12,1,17,1,9,1,12,1,24,1,17,1,10,1,24,1,8,1,24,1,8,1,24,1,8,1,26,2,25,1,8,1,30,1,25,1,29,1,25,1,27,2,25,2,29,1,25,2,27,1,25,1,24,1,29,1,28,11,30,1,28,1,30,3,6,1,8,3,13,1,24,1,7,1,24,1,30,1,28,13,30,2,6,2,30,1,6,2,30,2,28,1,30,1,28,1,29,1,30,1,28,30,30,1,29,1,6,1,8,1,7,2,8,2,24,1,8,1,9,1,17,6,12,2,17,7,12,1,17,1,12,1,17,1,12,1,17,1,11,1,9,1,11,1,10,1,9,1,11,1,13,1,8,2,9,2,24,1,8,1,9,1,13,1,9,1,6,1,13,2,7,1,13,1,28,2,30,1,28,2,5,71,28,6,30,2,28,4,16,1,17,2,12,1,9,1,7,1,30,1,28,1,6,1,30,1,6,1,28,3,13,2,15,1,11,1,8,1,28,6,9,1,17,1,13,1,28,2,30,1,6,1,28,28,14,2,24,1,7,1,6,1,}, {12,1,9,1,28,4,30,1,28,21,30,1,28,10,6,1,7,1,29,1,6,1,13,2,8,1,12,2,17,2,6,1,13,3,30,1,29,1,12,1,17,1,16,2,11,1,16,2,10,1,8,1,9,1,24,1,13,1,6,1,10,1,14,1,9,1,7,2,6,4,24,1,12,1,24,1,13,1,8,2,9,1,8,1,12,1,16,1,10,1,17,1,11,1,10,1,9,1,8,1,24,1,9,1,10,1,30,1,28,13,30,1,28,1,29,1,7,1,28,1,30,1,28,1,6,1,30,1,29,3,6,1,13,1,9,1,10,1,9,1,17,2,9,1,6,4,29,2,13,1,24,1,12,3,11,1,8,1,24,1,13,1,24,1,6,1,7,1,6,2,7,2,8,1,24,1,8,1,15,1,24,1,13,1,6,1,28,6,29,1,28,5,30,1,8,1,9,2,8,1,9,1,8,3,13,1,8,1,9,3,8,1,13,2,8,1,13,1,8,2,13,1,8,1,9,3,11,1,9,1,11,1,9,1,11,1,9,5,10,1,11,3,9,1,10,2,9,2,11,1,16,1,11,1,9,1,11,1,17,2,9,1,28,1,30,1,28,46,29,2,6,3,7,1,30,1,6,2,29,1,6,1,7,2,28,1,29,2,28,26,6,1,30,2,6,1,8,2,13,1,24,1,8,1,7,1,29,1,28,1,30,1,28,47,30,1,6,1,13,1,10,1,24,1,8,1,24,1,10,1,9,1,8,1,24,2,8,1,24,1,8,1,24,1,9,1,24,1,12,1,9,1,12,1,24,1,10,2,13,1,10,1,24,1,9,1,10,4,17,18,10,1,12,1,13,1,8,1,24,1,8,1,24,2,25,1,7,1,25,2,29,1,25,1,27,1,25,3,26,3,27,2,25,1,6,1,29,2,28,3,30,1,28,2,30,1,28,2,30,2,28,47,30,1,28,2,30,1,6,1,7,1,8,1,13,1,8,1,10,1,12,1,9,1,17,1,9,1,17,1,12,1,16,1,17,3,12,1,17,1,11,1,17,2,9,3,17,1,10,1,9,1,10,1,12,1,11,2,9,3,10,1,12,2,11,1,10,1,9,2,8,1,9,1,24,2,9,1,24,2,9,1,8,1,13,1,24,1,8,1,6,1,13,2,8,1,13,1,6,1,7,1,8,2,7,1,13,1,8,3,13,1,24,1,13,1,8,2,10,2,13,1,24,1,9,2,12,1,24,1,9,1,10,1,9,2,24,4,9,1,12,2,8,1,10,1,8,1,13,1,10,2,24,1,12,1,9,1,24,1,8,1,17,2,12,2,9,1,12,1,17,3,12,3,24,1,10,1,17,1,11,2,24,1,9,1,10,2,9,1,12,2,11,1,17,1,11,1,9,1,16,1,17,1,11,1,16,1,17,1,11,1,17,2,11,1,12,1,11,1,17,3,12,2,24,1,11,3,12,1,11,1,12,1,10,1,17,1,12,1,17,1,12,1,16,1,17,2,11,1,17,4,16,4,5,1,33,4,5,15,16,2,5,2,33,16,5,1,13,1,28,43,6,1,30,1,28,1,30,3,28,3,30,1,28,4,6,1,30,1,28,3,30,1,6,1,28,2,33,1,5,427,13,1,9,1,11,1,13,1,9,1,13,2,29,1,7,1,13,1,7,1,13,1,7,1,30,1,6,2,29,1,30,1,9,1,8,1,9,1,17,1,12,1,17,6,12,1,17,1,12,1,17,3,12,1,10,1,11,1,12,2,11,1,17,1,10,1,12,1,10,1,17,3,12,2,17,54,16,1,17,2,11,1,17,3,16,1,17,5,12,1,17,5,16,1,17,3,16,3,11,1,16,1,11,1,16,1,11,1,17,6,16,2,17,13,9,1,24,5,8,2,26,1,24,1,25,1,24,1,25,1,24,2,8,1,24,6,8,1,9,1,8,1,9,1,24,2,8,1,10,1,9,1,12,1,11,1,10,1,8,1,13,1,9,1,11,1,16,3,11,1,16,7,11,1,16,3,11,2,10,1,9,1,11,1,9,1,10,1,11,1,17,2,24,1,29,2,6,1,29,1,7,1,6,2,7,1,8,2,13,1,6,1,7,1,13,2,8,1,24,1,9,1,10,1,11,1,9,2,10,1,9,3,16,1,11,1,17,1,10,1,11,4,17,1,11,1,9,1,16,3,17,2,16,3,17,8,16,1,17,1,16,7,11,1,16,1,10,1,16,2,9,1,16,2,10,1,11,1,9,1,11,1,8,1,11,2,9,3,11,1,16,1,11,3,17,1,11,1,17,1,16,8,17,2,16,2,17,6,11,3,9,1,11,1,9,2,13,1,8,1,6,2,13,1,6,1,7,1,6,2,8,1,6,2,29,1,6,1,29,1,6,1,29,1,7,1,29,1,7,2,6,2,7,2,28,17,6,1,29,1,7,1,6,1,13,1,6,1,13,1,8,1,13,1,24,1,13,2,9,1,13,2,6,1,28,34,30,1,7,1,24,1,9,1,13,1,10,1,8,1,13,1,8,1,13,1,9,1,8,2,13,1,7,1,9,1,13,1,8,1,13,3,29,1,28,161,29,1,6,1,8,2,24,1,6,2,7,1,6,1,28,22,30,1,28,6,30,2,28,2,30,1,28,4,6,1,28,2,7,1,6,1,30,1,6,2,13,1,7,1,13,1,9,1,12,2,17,10,16,1,17,1,16,2,17,1,16,1,17,1,11,1,17,1,11,1,17,2,12,1,17,1,11,1,17,1,10,1,16,1,12,1,10,1,9,2,11,1,9,2,11,1,9,1,11,2,16,1,10,1,8,1,10,1,8,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,7,1,6,1,7,1,6,1,30,3,28,2,29,1,30,1,29,1,6,1,29,1,30,1,28,2,29,1,30,2,6,1,30,1,6,4,13,1,30,1,6,1,30,1,7,1,6,3,30,1,6,1,29,1,6,1,30,1,29,1,6,1,7,1,13,1,8,1,9,1,12,2,17,2,10,1,17,4,12,1,24,2,8,1,24,3,25,1,24,1,10,1,24,2,8,2,24,1,25,2,24,1,8,1,12,1,8,2,24,1,10,1,25,2,24,1,25,1,24,1,25,2,24,3,12,1,24,1,8,1,10,1,8,1,10,1,24,1,12,1,24,2,12,1,13,1,17,1,24,1,12,1,24,2,12,1,10,1,12,1,10,1,17,2,12,1,9,2,12,1,9,1,12,1,11,1,17,1,9,1,11,1,12,1,9,1,10,3,24,1,10,1,13,1,12,1,24,1,17,1,8,1,24,1,9,1,17,3,12,1,17,5,8,1,12,2,17,1,12,1,24,1,12,2,17,1,24,1,8,1,24,1,25,1,8,1,25,1,26,1,8,1,25,2,27,2,25,3,26,1,8,1,25,1,27,1,8,1,26,1,25,1,24,1,27,1,25,1,28,1,27,1,28,2,30,1,28,1,30,4,29,1,28,1,29,2,8,1,6,1,8,2,24,1,8,1,24,1,8,1,7,1,28,4,30,1,28,2,29,1,30,1,28,2,6,1,28,1,30,2,7,1,8,1,13,1,6,1,29,1,7,1,29,1,30,2,28,1,6,1,28,2,30,1,28,3,30,1,28,24,30,1,6,1,30,1,7,1,6,1,7,1,8,1,6,1,8,1,24,2,17,13,12,1,9,1,17,2,12,1,17,4,13,1,9,2,12,1,11,1,10,1,8,1,24,1,10,1,9,1,13,1,8,1,10,1,9,2,8,1,13,1,9,1,13,1,8,1,28,1,6,1,30,3,28,1,5,70,28,6,30,1,28,4,13,1,17,4,8,1,13,1,28,2,30,1,28,3,30,2,29,1,8,1,15,1,10,1,13,1,28,6,8,1,17,1,8,1,30,3,6,1,28,28,15,1,14,1,9,1,6,1,29,1,}, {14,1,29,1,6,1,28,15,30,1,28,10,30,1,28,1,30,1,28,6,30,1,6,2,7,1,6,1,7,1,13,1,24,1,10,1,17,3,13,2,7,1,24,1,28,1,6,1,17,3,10,1,9,1,10,1,17,1,16,1,12,1,24,1,8,1,13,1,6,1,10,1,14,1,9,1,8,1,6,1,30,1,7,1,13,1,6,1,13,1,17,1,10,1,13,2,8,1,24,1,8,1,12,1,11,1,17,3,16,1,10,1,13,1,8,1,13,1,11,1,29,1,28,15,6,1,28,2,6,1,28,1,7,1,28,1,30,3,29,1,13,1,24,2,12,1,10,1,17,1,6,1,29,1,7,1,30,2,28,1,30,1,13,1,9,1,12,1,17,1,16,1,9,1,8,1,9,1,13,1,8,1,24,1,13,1,6,1,13,1,29,1,13,1,8,2,9,3,6,1,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,4,30,1,8,4,9,6,8,1,10,1,11,1,9,1,13,2,9,3,10,2,9,2,10,1,8,1,10,1,9,2,11,1,9,3,11,1,9,1,11,1,9,2,11,3,9,2,11,1,9,1,10,1,11,1,9,2,17,2,11,1,13,1,28,47,30,1,28,1,29,1,7,1,6,2,7,1,13,1,7,1,6,1,8,1,6,5,28,27,30,1,28,1,29,1,28,1,6,1,8,1,29,1,6,1,29,1,6,1,7,1,6,1,28,1,29,1,28,1,30,1,28,28,30,1,28,15,29,2,13,2,24,3,8,2,12,1,8,2,24,3,8,1,24,3,8,1,10,1,24,3,9,1,12,1,24,1,8,1,12,7,17,3,12,1,17,5,12,1,17,3,10,1,24,1,13,1,24,2,13,2,8,1,24,1,25,1,8,2,29,1,8,1,26,1,29,1,8,1,27,5,30,3,29,1,28,9,30,1,28,53,30,1,28,1,30,1,7,1,8,2,24,1,9,1,12,1,10,1,12,1,11,1,17,9,11,2,17,1,12,1,10,1,9,1,8,1,24,1,10,1,24,1,9,1,10,2,11,1,8,1,12,1,9,1,8,1,13,1,24,1,9,1,10,3,11,1,9,2,24,1,8,2,24,1,8,1,13,1,8,1,24,1,13,1,24,1,8,2,7,1,13,1,7,1,24,1,6,1,13,1,29,1,8,1,24,1,6,1,24,1,7,1,13,1,8,1,24,3,8,2,10,1,12,1,24,1,9,1,8,1,9,1,24,1,8,1,24,1,13,1,12,1,10,1,9,1,24,1,9,1,12,1,17,1,12,1,17,1,10,1,24,1,17,1,9,1,12,1,8,1,24,1,12,1,9,1,10,2,17,1,10,2,17,1,10,1,17,1,9,1,24,1,17,1,12,1,9,1,17,2,9,1,24,1,11,1,12,1,9,1,12,1,8,1,12,3,17,1,12,1,17,1,9,1,11,1,17,1,12,2,11,1,17,4,11,1,12,1,9,1,10,1,12,1,17,1,12,1,17,2,12,1,9,1,17,1,10,1,17,1,12,1,17,5,16,1,17,1,16,1,5,4,33,1,5,2,33,2,5,3,33,3,5,1,33,1,5,8,33,1,5,3,33,14,5,1,33,1,28,40,6,1,30,4,6,1,30,3,28,1,30,2,28,3,6,1,30,1,28,1,30,6,13,1,17,1,9,1,28,1,30,1,33,1,5,425,13,1,9,2,7,1,8,1,13,1,6,1,13,1,8,1,7,2,13,1,7,1,13,2,7,1,6,1,29,1,13,1,12,1,8,1,11,1,17,1,12,1,17,1,12,1,17,6,12,2,17,2,11,1,17,2,10,1,12,1,11,1,9,1,12,5,17,2,12,2,17,4,11,1,17,50,16,1,17,9,12,1,17,4,16,1,11,1,16,1,17,1,16,1,17,1,11,1,16,1,11,1,16,3,11,2,16,1,11,1,17,1,11,1,17,6,12,1,17,10,13,1,8,1,24,1,8,2,24,1,8,1,24,1,25,1,24,1,8,1,25,1,24,1,8,1,24,1,8,1,10,1,24,1,8,2,12,1,24,1,10,1,24,1,12,2,10,1,11,1,10,1,12,1,11,1,12,1,9,1,13,3,16,1,10,1,11,3,17,1,16,3,11,1,16,1,17,1,11,2,16,1,11,1,16,1,11,3,9,1,16,1,17,1,11,1,8,1,29,1,30,1,6,2,7,1,6,1,13,1,8,1,13,1,6,3,13,2,8,1,13,1,24,1,13,1,8,1,9,5,11,1,9,1,16,1,11,3,16,4,11,1,16,1,9,2,11,1,16,1,17,1,16,2,17,1,11,1,17,1,16,1,17,5,16,1,17,2,16,1,17,1,16,1,17,3,16,1,17,1,16,2,11,1,10,1,16,1,9,1,16,2,11,5,9,1,11,2,9,1,11,1,10,1,11,3,16,2,17,1,16,2,17,1,16,6,17,1,16,3,17,5,16,1,17,3,16,1,17,3,9,1,8,1,13,2,7,2,6,3,13,1,6,1,7,3,13,1,7,1,6,1,13,1,6,2,7,1,6,1,30,1,7,1,29,1,8,1,28,16,29,1,6,2,7,1,8,1,7,1,8,1,24,1,13,1,9,1,13,1,8,1,13,2,8,1,11,1,13,1,28,33,6,1,13,2,9,1,8,2,7,1,6,1,13,3,9,2,13,1,9,1,8,1,13,1,8,1,13,1,7,1,13,1,30,1,28,162,8,3,13,1,7,1,6,1,28,1,29,1,28,18,30,1,28,3,30,1,28,11,30,1,28,1,30,1,28,1,6,1,28,2,30,2,6,2,30,1,28,1,6,1,30,1,6,3,8,1,9,1,10,1,17,2,12,1,11,1,12,1,17,4,16,1,17,4,12,1,17,3,11,1,17,1,11,3,17,2,11,1,9,1,16,1,9,2,11,3,9,1,10,1,11,1,9,1,10,2,13,1,12,1,9,1,11,1,9,1,8,1,13,1,8,3,6,1,13,1,6,1,28,1,6,1,28,1,30,6,28,2,29,2,6,1,28,1,30,2,29,1,13,1,28,1,6,1,7,1,29,1,6,1,7,2,30,2,6,1,13,2,28,1,30,1,6,1,13,1,28,2,29,1,6,2,29,1,7,1,13,1,9,1,11,1,17,2,12,1,17,1,10,1,11,1,8,1,24,2,8,1,24,1,8,1,24,1,10,1,24,3,8,1,24,6,25,3,24,3,8,1,26,1,8,2,25,4,8,1,7,1,24,2,8,1,24,3,12,2,24,1,8,1,10,2,7,1,9,1,10,1,12,1,9,1,10,1,24,1,12,1,17,1,9,2,12,1,13,1,12,1,9,1,17,1,12,1,24,1,12,1,9,2,12,1,17,1,12,1,24,2,7,1,13,1,24,1,8,1,24,1,12,1,24,1,8,1,12,1,24,1,11,1,17,1,12,1,17,2,9,1,12,2,17,1,9,1,12,3,17,1,24,2,10,2,17,1,24,3,10,1,25,1,8,1,27,1,8,1,25,2,24,1,25,3,29,1,25,1,27,1,25,2,8,1,25,1,24,1,8,1,27,1,30,1,27,1,28,1,26,1,30,1,28,3,29,1,27,1,29,1,7,1,6,1,7,1,6,2,8,1,13,1,24,1,13,1,24,4,6,2,30,1,28,1,29,1,30,1,29,1,28,1,30,2,29,1,7,1,6,1,13,1,6,1,7,2,6,2,7,1,6,1,28,1,6,1,28,35,7,1,6,1,30,1,6,1,13,2,24,1,8,2,24,1,17,13,11,1,12,3,9,1,17,1,11,3,9,1,10,2,11,1,9,1,10,1,9,1,10,1,24,1,9,2,8,1,13,1,9,1,13,1,6,1,7,1,8,1,13,2,7,1,30,2,7,1,30,1,13,1,5,69,28,11,30,1,16,1,17,3,8,1,7,1,30,1,28,1,30,1,28,5,13,2,10,1,12,1,8,1,28,6,15,1,12,1,8,1,29,1,28,1,30,2,28,27,29,1,14,1,10,1,24,1,29,1,6,1,}, {12,1,13,1,6,1,28,4,30,1,28,12,30,1,28,4,30,1,29,3,28,9,6,1,30,1,29,1,30,1,6,1,13,1,8,1,24,2,17,3,9,1,7,1,13,2,7,1,6,1,17,3,9,1,10,1,9,1,17,1,9,1,8,1,10,1,8,1,24,1,30,1,9,1,14,1,24,1,13,1,6,1,29,1,7,1,30,1,6,1,13,1,12,1,24,1,8,1,10,1,24,1,8,1,11,1,9,1,17,3,16,1,9,1,8,1,7,1,29,1,7,1,10,1,13,1,28,11,7,1,28,1,29,1,28,3,30,2,28,1,6,1,28,1,29,1,30,1,6,1,7,1,6,1,13,1,6,1,10,1,11,1,17,1,6,8,9,1,11,1,17,1,9,1,11,1,9,3,16,1,8,2,13,1,7,1,6,1,8,2,9,1,12,1,8,1,13,1,30,1,28,5,30,1,28,1,29,1,28,1,30,1,28,3,6,1,9,1,8,3,10,1,9,1,11,1,9,2,10,1,9,3,10,2,9,3,13,1,11,1,10,1,11,1,9,3,10,1,8,1,9,3,11,1,9,3,10,1,9,2,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,16,1,17,1,24,1,30,1,28,49,7,1,6,2,7,4,13,1,7,1,13,1,6,1,13,1,6,1,28,28,30,2,28,2,29,2,30,1,28,2,6,1,30,1,6,1,29,1,30,1,28,46,29,1,13,1,7,1,8,2,10,1,8,1,10,1,24,2,8,1,24,1,8,1,24,2,12,1,24,2,8,1,9,1,24,1,10,1,8,1,9,1,24,1,10,1,9,1,12,1,9,2,12,1,17,13,10,1,12,1,6,1,24,1,10,1,13,2,6,1,28,1,29,2,6,1,8,1,25,2,27,1,29,1,26,2,27,1,8,1,28,1,30,1,26,1,29,1,6,1,30,1,27,1,29,2,28,13,30,1,28,49,29,1,30,1,25,2,8,2,10,1,9,1,11,2,17,12,11,1,17,1,10,1,17,1,13,1,24,1,17,1,24,1,9,1,24,1,17,1,8,1,12,1,9,1,10,1,12,1,9,1,13,1,24,1,8,2,9,2,24,1,13,1,9,1,8,1,24,1,8,1,24,1,13,3,6,1,7,4,8,2,7,1,8,1,13,1,7,1,8,1,13,1,7,1,13,2,7,1,8,1,24,1,30,1,24,1,9,1,8,1,13,1,9,1,8,2,12,1,24,1,9,1,8,1,10,3,24,1,9,2,24,1,10,1,8,1,24,2,13,1,24,1,10,3,17,1,12,1,10,1,11,1,12,2,11,1,17,1,12,1,17,1,12,1,17,1,10,1,12,1,9,1,17,1,10,1,12,1,10,2,12,1,17,2,11,1,9,2,12,1,11,1,10,1,17,3,12,1,11,2,17,1,10,1,17,2,11,1,17,1,12,1,10,1,17,1,9,2,12,1,11,1,17,1,16,1,17,1,10,1,17,2,11,1,17,1,16,1,17,5,16,2,5,2,33,24,5,1,33,18,5,1,28,41,6,1,28,1,30,1,28,4,7,1,30,2,28,3,30,2,28,2,30,1,28,6,30,1,6,1,11,1,10,1,13,1,28,2,5,424,13,2,8,1,13,1,8,1,13,3,8,1,6,1,7,1,6,1,7,2,29,1,7,2,13,1,29,1,9,1,7,1,12,1,17,1,12,1,17,3,11,2,17,8,10,1,12,1,10,1,17,1,12,2,11,2,12,1,10,1,17,3,12,2,17,1,12,1,17,2,12,1,17,1,12,1,17,47,16,1,17,19,16,1,11,1,17,2,11,2,16,1,9,1,16,2,17,1,11,2,16,1,17,1,16,1,17,1,16,1,17,3,11,1,17,9,10,1,8,1,24,1,8,1,13,1,24,1,13,1,24,1,25,1,24,5,8,1,13,1,24,2,12,1,9,1,24,2,9,1,10,1,9,2,10,2,12,1,10,2,9,2,13,2,9,1,12,1,11,2,16,2,17,1,16,3,11,1,16,2,11,1,16,2,17,1,16,2,9,1,10,1,11,2,9,1,6,5,29,1,8,1,6,1,7,1,13,1,7,2,6,1,8,1,13,1,7,1,13,2,24,1,13,1,8,2,10,1,9,2,10,1,11,2,9,1,16,2,11,3,17,1,16,2,17,1,11,1,16,3,17,1,11,3,17,1,16,2,17,8,16,3,17,1,16,4,17,1,16,3,11,1,16,2,11,1,16,1,11,1,9,1,16,1,11,2,9,2,16,1,10,1,16,1,11,3,17,1,16,1,17,2,16,1,17,1,16,5,17,2,16,5,17,1,16,2,17,3,16,1,17,6,10,1,13,3,7,1,13,7,8,1,13,1,7,1,8,1,13,1,6,1,13,1,8,1,13,1,6,1,7,1,13,1,28,15,29,1,30,1,6,1,7,1,6,1,13,1,6,1,13,2,24,1,8,1,13,1,8,1,13,1,9,2,13,1,8,1,6,1,28,31,29,1,13,3,8,1,13,2,7,1,6,1,8,2,9,1,13,1,8,1,13,1,8,3,13,1,6,2,28,161,30,1,6,1,10,1,7,1,13,1,7,1,28,36,30,1,28,1,30,1,28,6,30,1,29,1,28,3,30,1,28,1,30,1,29,1,6,1,28,1,30,1,7,3,6,1,30,1,13,1,12,1,17,10,12,1,17,2,11,1,17,2,10,1,9,1,17,1,10,2,11,3,16,1,11,1,17,1,9,1,11,1,9,3,10,1,9,2,11,1,8,1,9,2,10,1,8,3,7,1,13,1,7,1,6,1,30,2,28,1,30,1,28,9,29,2,28,1,6,3,7,1,6,6,7,1,29,1,6,2,30,1,29,1,6,1,28,1,30,1,28,2,6,1,28,2,30,1,6,2,7,1,10,2,17,3,12,1,9,1,10,1,6,1,10,2,8,1,24,1,8,1,10,1,25,1,10,1,24,5,8,1,24,2,25,1,24,1,8,1,24,2,6,1,24,1,6,1,25,1,8,1,25,1,8,2,25,1,24,1,8,1,24,1,8,1,12,1,8,2,17,1,8,1,24,1,12,1,17,1,24,2,12,1,24,1,10,2,24,1,12,2,17,1,12,2,24,1,17,1,9,1,12,1,24,1,11,1,12,2,10,1,9,1,17,1,10,1,17,1,24,1,13,1,8,1,24,1,13,1,8,1,13,1,24,1,10,1,9,2,24,1,12,1,17,4,11,1,12,1,11,1,17,1,11,1,12,1,17,1,10,1,17,3,24,1,9,1,24,2,10,1,24,1,25,1,24,4,26,1,27,1,25,2,26,2,25,1,8,1,29,1,27,2,25,3,26,1,25,1,8,1,25,2,6,1,29,1,6,1,30,1,6,1,29,2,28,1,6,1,28,1,7,1,6,1,7,3,25,1,8,1,24,2,8,1,24,3,8,1,29,1,25,1,30,2,28,1,30,1,29,1,6,1,29,2,7,1,13,2,7,1,13,1,6,1,13,2,29,1,13,1,7,1,28,1,29,1,30,2,28,2,30,1,28,30,30,1,6,4,24,1,8,1,13,1,9,1,17,8,10,1,17,2,11,1,10,1,9,2,10,1,11,1,17,3,12,3,17,1,11,2,9,2,11,1,9,2,8,1,9,1,24,1,10,1,7,1,9,1,6,1,8,1,13,5,29,3,30,1,13,1,5,68,28,6,30,1,28,5,12,1,17,1,12,1,9,1,24,1,6,1,29,1,28,2,30,1,28,4,6,1,24,1,12,1,8,1,13,1,28,6,17,1,12,1,24,1,28,31,29,1,15,1,9,1,13,1,8,1,7,1,}, {15,1,8,1,28,23,6,1,28,2,29,1,30,1,28,9,29,1,13,1,28,1,6,2,12,1,9,1,12,2,17,2,13,2,7,1,13,1,8,1,6,1,9,1,17,1,16,1,9,2,17,1,11,1,12,1,9,2,8,1,13,1,7,1,24,1,17,1,9,1,13,1,6,2,7,2,6,1,8,1,9,2,24,1,8,1,24,1,13,1,8,1,9,2,12,1,17,2,12,1,9,1,13,1,7,1,6,1,9,1,13,1,28,15,30,2,28,6,30,1,29,1,30,1,7,1,11,1,10,1,11,1,17,1,12,1,8,1,6,3,7,1,6,1,28,1,13,1,12,2,17,1,16,1,11,1,17,1,9,3,8,1,9,1,13,2,7,1,8,3,12,2,8,1,30,2,28,4,29,1,28,1,29,1,28,1,29,1,28,3,13,1,10,1,8,1,9,4,10,1,11,3,9,1,10,1,9,2,11,1,10,1,8,1,9,1,11,1,9,6,11,1,9,3,11,1,9,1,10,1,9,2,10,1,9,1,11,1,10,1,11,3,9,2,11,1,9,1,10,1,9,1,17,3,13,1,30,1,28,46,30,1,29,1,30,1,25,1,13,1,7,1,13,1,7,1,8,1,7,1,8,1,13,1,6,1,13,1,6,1,30,1,28,31,29,1,30,1,28,1,30,1,28,3,6,1,28,2,6,1,28,1,30,1,28,44,6,3,8,1,10,1,24,2,9,1,24,1,10,1,12,1,10,1,8,1,10,2,24,1,9,1,13,1,9,1,8,1,24,1,8,1,24,3,10,1,24,1,12,1,24,1,12,1,17,7,12,2,17,1,12,2,17,1,10,1,6,1,13,1,7,1,6,1,13,2,7,1,8,1,29,3,6,1,29,1,25,1,29,1,25,1,29,1,25,1,29,1,6,1,30,1,29,1,27,1,30,1,28,1,6,1,30,1,28,66,30,1,25,1,8,3,24,1,9,3,17,1,11,1,17,13,11,1,17,1,9,1,8,1,12,1,10,1,9,1,10,2,24,1,8,1,24,1,8,1,9,1,17,1,9,1,8,1,9,1,8,1,24,1,8,1,13,2,9,1,13,1,8,1,7,2,8,1,13,2,7,1,24,1,6,1,8,2,13,4,6,1,7,1,8,2,6,1,13,1,10,1,8,5,10,1,13,1,8,1,24,1,8,1,24,2,8,1,24,1,7,1,8,1,24,1,13,1,24,1,10,1,24,4,8,1,10,1,24,1,12,1,24,1,10,3,17,1,10,1,17,1,11,2,12,2,17,1,10,2,17,1,9,1,17,1,10,1,12,2,17,1,10,1,12,3,24,1,11,2,12,1,17,3,10,1,11,1,12,2,9,1,11,2,17,1,12,2,10,1,17,2,12,1,17,1,12,1,9,1,17,1,12,1,16,1,17,10,11,1,16,1,13,1,33,1,5,1,33,44,5,1,28,42,6,1,28,3,6,1,28,1,29,1,30,1,28,1,29,1,28,18,6,1,8,1,6,1,30,1,13,1,5,422,11,1,13,4,7,1,13,4,6,2,13,1,7,2,13,1,7,1,30,1,8,4,17,2,11,2,17,1,12,1,17,9,12,3,17,1,11,1,12,1,11,1,12,1,9,1,10,1,9,1,17,4,12,2,17,4,12,1,17,69,16,1,10,1,11,1,16,1,10,1,9,1,11,3,16,2,17,18,10,1,13,2,10,1,24,1,8,1,24,5,8,2,24,1,13,1,24,1,8,1,24,4,10,1,12,1,11,1,9,2,11,1,9,1,11,2,12,1,11,1,9,2,11,1,9,1,11,2,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,2,11,1,16,1,11,4,12,1,11,1,6,1,28,1,6,2,13,1,29,1,7,2,6,1,7,1,6,1,13,1,6,1,7,1,29,1,13,1,8,1,13,1,7,1,24,1,9,3,10,1,9,1,10,1,9,2,10,1,11,1,16,1,11,2,16,2,11,1,17,1,16,2,11,1,16,1,11,1,16,1,10,1,17,1,11,2,9,1,17,1,16,1,17,2,16,2,17,1,16,1,17,4,16,6,17,1,16,1,17,1,16,1,17,1,16,1,9,1,17,1,9,1,16,1,11,1,16,1,9,1,17,1,11,2,9,1,12,1,9,1,11,4,17,1,16,1,17,2,16,5,17,1,16,2,17,2,16,1,17,1,16,2,17,1,16,4,17,11,11,1,8,2,13,2,8,1,7,2,13,1,6,1,7,1,8,2,7,1,8,1,6,1,13,2,6,1,13,1,6,1,28,15,29,1,30,1,13,1,7,2,8,2,13,1,8,3,13,5,8,1,13,1,9,1,6,1,28,30,6,1,7,1,13,4,29,1,13,1,8,2,9,1,13,6,30,1,6,1,28,162,6,2,13,1,7,1,13,1,29,1,28,1,30,1,28,1,30,1,28,9,30,1,28,20,30,1,28,3,30,1,28,6,29,1,28,1,30,1,28,7,30,1,28,4,6,1,28,1,29,1,30,1,28,1,6,1,29,1,13,1,8,1,12,1,17,2,11,1,17,8,12,1,17,2,11,2,9,1,11,5,12,1,10,1,9,1,11,1,9,2,11,1,9,1,11,1,9,3,13,1,9,1,6,1,7,1,13,1,7,1,29,1,28,1,30,1,28,3,30,1,28,4,30,1,28,2,30,2,28,1,6,3,29,2,13,1,6,1,13,1,6,1,29,1,7,1,30,2,13,2,6,1,30,2,7,1,30,1,28,2,30,3,6,1,29,1,6,1,13,2,8,1,17,5,9,2,10,1,24,1,7,1,10,1,24,1,8,1,24,1,12,2,8,1,25,1,24,3,8,1,24,1,25,1,24,2,8,1,24,1,8,1,25,2,8,1,25,1,24,1,25,2,8,2,25,1,7,1,12,1,8,1,24,1,9,1,24,1,10,1,8,1,24,1,10,1,9,1,17,1,24,2,12,1,24,1,10,1,12,1,8,1,10,2,12,1,8,1,17,1,24,2,17,2,24,2,17,2,24,1,10,1,12,1,9,1,13,1,24,1,8,2,13,1,24,3,8,1,12,1,8,1,12,2,10,1,17,3,9,1,17,3,11,1,12,1,17,1,12,1,9,1,12,1,17,2,12,1,8,2,10,1,8,1,25,1,8,1,25,1,8,1,25,2,8,1,29,1,25,2,26,1,25,6,24,1,25,1,8,1,24,2,25,3,29,2,30,2,29,1,28,1,25,1,29,1,6,3,8,1,7,1,24,2,13,1,24,2,10,1,24,2,10,1,8,2,24,1,29,2,6,1,30,1,7,3,6,1,7,2,13,1,6,1,7,4,6,3,30,1,28,12,30,1,28,23,6,1,30,1,6,1,29,1,8,3,9,1,8,1,12,1,17,5,11,1,17,1,10,1,11,1,9,1,11,1,12,1,10,1,12,1,17,4,10,1,9,1,10,1,12,1,17,2,11,1,17,1,8,1,9,1,11,1,9,2,11,1,10,1,9,2,13,1,8,1,28,1,7,1,6,1,13,1,7,1,6,1,13,1,30,1,6,1,13,2,5,67,28,12,12,1,17,2,10,1,24,1,6,1,28,8,6,2,9,2,13,1,28,6,12,1,17,1,13,1,30,1,28,1,6,1,28,28,13,1,15,1,10,1,13,1,30,1,29,1,}, {12,1,24,1,6,1,28,35,30,3,13,1,6,1,13,1,10,1,24,1,17,1,9,1,17,2,9,1,8,1,6,1,13,1,7,1,6,1,16,1,17,2,9,1,16,1,8,1,17,1,11,1,24,1,9,1,13,1,6,1,28,1,8,1,17,1,10,1,13,1,29,1,30,1,6,2,29,1,8,1,10,1,9,3,8,1,24,1,8,1,10,1,12,1,16,2,11,1,17,1,8,1,6,1,13,2,15,1,13,1,28,21,30,1,28,1,29,1,28,1,13,1,6,1,8,1,12,1,17,1,9,1,17,1,6,5,7,1,28,1,13,1,24,1,12,1,17,4,9,1,17,1,24,1,8,1,13,1,7,1,6,1,13,2,8,1,12,1,9,1,17,1,13,1,28,1,29,1,30,1,28,4,30,3,6,1,28,3,13,1,9,1,8,2,10,1,11,1,9,4,11,3,9,2,11,1,9,1,11,2,9,2,11,1,9,2,11,2,9,1,8,1,9,2,11,1,9,3,8,1,9,5,8,1,9,1,10,1,11,1,9,1,11,2,17,2,11,2,28,44,30,1,28,3,29,1,30,1,6,1,29,1,7,2,24,1,6,1,13,1,7,1,13,2,7,1,13,1,28,33,30,1,28,2,29,1,28,2,30,1,29,1,30,1,28,1,30,1,29,2,28,1,30,1,29,1,28,19,30,1,28,1,30,1,28,19,30,1,6,1,13,1,8,1,24,1,9,1,8,1,24,1,9,1,8,1,12,1,24,1,12,1,24,1,8,1,9,1,24,3,13,1,24,2,8,1,24,1,6,1,10,1,12,2,24,1,12,1,17,8,12,1,9,2,13,1,8,1,6,1,13,1,8,1,7,1,8,1,7,1,6,1,7,2,29,2,25,1,6,1,29,1,30,1,29,1,28,1,6,1,29,2,30,2,7,1,26,1,28,2,30,2,28,4,30,1,28,1,30,1,28,59,6,1,25,1,7,1,8,2,10,2,9,1,10,1,17,16,12,1,17,1,10,1,17,1,12,1,8,1,12,1,8,1,9,1,10,1,24,2,9,1,10,1,8,2,24,1,8,2,24,1,8,1,24,2,8,2,24,1,13,1,8,1,7,1,8,1,13,1,8,1,13,2,8,2,13,1,8,4,6,1,24,1,13,1,7,1,13,1,6,1,7,2,24,1,8,2,9,1,24,2,9,1,13,1,8,3,24,1,13,1,9,1,13,1,12,1,8,1,24,1,10,1,24,1,12,1,8,1,24,2,12,1,10,1,24,1,17,2,12,3,10,1,11,1,17,1,24,1,17,2,12,2,10,2,12,2,17,2,12,1,10,1,12,1,11,1,10,2,12,1,11,1,12,1,9,1,12,1,11,1,17,1,9,1,17,1,11,2,10,1,11,1,17,2,11,1,12,1,17,3,11,3,17,5,12,1,17,4,16,1,9,1,30,1,33,2,5,1,33,45,28,45,6,1,28,3,30,2,28,22,6,1,13,1,30,1,13,1,5,421,9,1,13,2,24,1,8,1,13,2,7,2,8,1,6,2,13,3,29,1,13,1,6,1,29,1,8,1,9,2,17,1,12,1,17,14,12,3,10,1,17,2,10,1,9,2,10,1,17,1,11,1,17,2,12,1,17,2,12,1,17,53,16,1,17,15,11,1,17,4,16,2,11,1,16,1,10,1,11,1,10,1,16,3,17,5,12,1,17,12,24,1,13,1,24,3,8,1,25,1,8,2,25,1,8,2,24,6,9,1,10,1,9,1,12,1,9,1,12,1,10,1,17,1,10,1,9,1,12,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,16,1,17,1,16,2,17,4,16,1,11,2,16,1,11,1,16,1,17,3,13,1,6,1,29,1,6,3,30,1,6,1,29,1,7,2,6,1,7,1,13,1,8,1,13,1,6,1,7,1,6,1,13,3,24,1,9,1,24,1,9,1,10,1,11,1,9,3,11,2,9,1,16,1,11,2,16,1,11,2,17,1,16,3,17,2,11,1,10,1,16,3,17,2,16,2,17,3,16,1,17,1,16,3,17,2,16,3,17,1,16,1,11,2,16,3,10,1,16,1,9,1,11,3,17,1,9,3,11,6,16,4,17,1,16,1,17,1,16,2,17,1,16,4,11,1,16,9,17,1,16,2,17,11,9,1,8,1,13,2,7,1,8,2,13,1,8,3,13,1,8,1,13,1,7,1,24,1,6,1,28,16,29,1,28,1,29,1,8,1,6,1,13,1,24,1,13,2,8,2,13,1,24,1,13,1,8,1,9,1,8,2,9,1,6,1,28,28,29,1,7,1,13,1,8,1,13,3,8,2,13,1,9,1,13,4,8,1,6,1,7,1,6,1,28,161,30,1,6,1,13,1,9,1,8,1,7,1,13,1,28,40,30,1,29,1,28,22,6,1,28,7,6,3,13,2,8,1,9,3,13,1,9,1,17,4,12,1,17,1,11,2,9,1,11,1,10,1,11,1,12,1,11,2,9,1,17,1,9,1,12,1,9,3,8,1,9,1,6,2,29,2,28,4,30,1,28,2,30,1,28,8,30,1,28,2,6,1,30,1,6,5,29,1,28,1,13,1,6,3,28,1,29,1,28,1,6,1,30,2,28,1,29,1,28,1,30,1,28,1,30,3,7,1,13,1,9,2,17,3,12,1,10,1,13,1,10,1,24,1,10,1,24,1,17,1,13,1,8,1,24,1,25,1,24,1,25,2,8,2,24,1,8,2,25,1,24,2,8,2,25,1,12,1,8,1,24,1,8,2,24,2,12,1,8,1,10,1,24,2,8,4,17,1,12,1,24,2,9,1,10,1,9,1,10,1,24,1,12,1,24,1,17,1,10,2,12,1,11,1,12,1,24,1,17,1,9,1,10,1,8,1,9,1,12,1,9,1,24,2,8,1,24,1,8,2,9,1,8,1,24,1,12,1,10,1,8,2,12,2,10,1,17,7,9,1,17,1,10,1,9,1,24,1,10,1,17,1,24,1,8,1,9,1,24,1,10,1,12,1,13,1,24,2,25,1,8,2,27,1,25,1,12,1,25,1,8,1,27,1,8,1,25,1,8,1,27,1,8,1,27,1,25,1,8,1,24,1,25,1,24,3,25,1,6,1,7,1,29,1,30,1,7,1,29,2,26,1,25,1,7,1,25,1,8,1,29,1,7,1,24,2,10,1,24,4,10,2,8,1,24,1,8,1,13,2,6,1,7,2,13,1,8,1,24,1,13,1,6,1,7,1,6,1,7,1,13,1,7,1,6,1,7,1,30,2,29,1,28,37,29,2,7,1,9,1,8,1,7,1,9,1,10,1,17,2,9,1,10,1,9,2,10,1,11,1,9,1,12,2,17,3,11,1,17,1,11,1,12,3,9,2,12,1,8,1,9,2,10,2,9,2,11,1,9,4,7,1,13,3,7,1,13,1,6,1,8,1,6,1,8,1,13,1,6,1,28,1,5,67,28,11,13,1,12,1,17,1,16,1,9,2,8,1,28,6,30,1,28,1,8,1,6,1,11,1,8,1,29,1,28,6,12,1,17,1,13,1,30,1,28,30,6,1,15,1,24,1,29,1,7,1,30,1,}, {15,1,9,1,6,1,28,23,6,1,28,9,30,1,28,1,30,2,29,1,13,1,28,1,8,1,24,1,8,1,9,1,17,3,13,1,29,1,6,1,13,2,6,1,9,1,17,2,13,1,17,1,9,1,11,1,12,1,9,1,10,1,8,1,24,1,30,1,8,1,17,2,13,1,29,1,6,1,7,2,6,1,8,2,17,2,8,1,13,1,8,1,9,1,16,1,17,6,10,1,8,2,24,1,6,1,29,1,28,15,30,1,28,1,30,1,28,1,29,1,28,1,30,1,13,1,30,2,6,1,13,1,9,1,17,1,12,1,17,1,13,1,29,1,30,1,6,1,28,1,6,1,30,1,6,1,10,1,17,4,16,1,12,2,10,1,6,1,13,1,6,1,8,1,6,1,8,1,24,1,9,3,13,1,28,2,30,1,28,2,30,1,28,1,6,1,28,1,30,2,6,1,28,2,30,1,10,1,9,5,10,2,11,1,9,2,10,1,9,1,11,2,9,1,10,1,9,2,11,1,10,1,11,1,9,4,16,1,10,1,9,1,11,1,9,2,11,1,9,11,11,1,17,4,13,1,28,45,30,1,28,1,29,3,6,1,7,1,6,1,7,2,13,1,7,1,13,1,7,2,6,1,29,1,7,1,28,30,29,1,28,6,6,1,28,2,30,1,28,1,30,1,28,1,29,1,28,1,29,1,28,1,29,2,28,1,30,1,28,15,30,1,28,1,30,1,28,1,7,1,30,1,28,1,30,1,28,14,6,1,13,2,24,1,8,1,9,2,13,1,24,2,12,1,24,2,13,1,24,1,9,1,24,1,8,1,24,1,7,1,8,1,13,1,6,1,8,2,7,1,24,1,13,1,10,1,17,6,11,1,9,1,12,1,24,1,13,1,8,1,24,1,6,1,8,1,13,1,7,2,13,1,28,1,25,1,7,1,6,2,29,2,28,1,30,2,28,2,29,1,30,1,29,1,7,1,6,1,28,1,29,1,28,1,30,2,28,2,30,1,28,64,29,1,27,1,6,1,13,1,8,1,10,2,9,1,17,2,12,1,17,15,11,1,17,1,12,2,10,1,12,1,9,1,8,2,12,1,24,1,9,1,24,1,8,1,10,1,13,2,24,1,9,1,13,3,8,1,6,1,13,1,8,2,7,2,8,2,7,1,24,1,8,1,13,1,8,2,24,1,7,1,6,1,8,1,13,1,24,1,8,1,7,1,8,1,13,2,8,1,24,1,13,1,10,1,9,1,8,2,10,1,24,2,13,1,24,1,13,1,8,3,9,1,10,1,9,1,24,1,8,1,12,1,10,1,24,1,12,2,9,1,17,1,12,1,17,2,11,1,17,1,11,1,17,1,12,2,9,1,12,1,17,1,9,1,17,1,10,1,17,1,12,1,10,2,12,1,17,1,24,1,11,1,10,1,12,3,17,2,11,1,12,2,11,1,9,1,17,1,12,3,11,1,10,1,17,1,10,1,17,3,12,1,17,3,16,1,17,4,16,1,11,1,13,1,30,1,33,1,5,2,33,46,28,45,30,2,28,1,29,1,30,2,28,26,30,1,28,1,5,420,16,1,9,1,7,1,13,1,6,1,8,1,6,1,13,2,7,1,8,1,6,2,13,1,7,1,13,1,29,1,6,1,29,1,13,1,24,1,8,1,17,2,12,1,17,13,12,1,10,1,11,2,17,1,11,1,9,2,10,1,11,2,17,1,11,1,17,1,11,1,17,76,11,1,17,2,10,1,17,1,11,2,16,1,17,1,11,1,17,1,16,1,17,2,16,1,17,14,10,1,13,1,8,1,24,1,10,1,13,1,24,1,8,1,25,1,8,1,24,1,8,2,24,3,9,1,24,1,9,1,24,2,10,1,12,2,9,1,17,1,12,1,10,1,12,1,11,1,9,2,8,1,12,1,11,1,9,1,11,1,16,3,17,5,16,1,17,1,16,1,11,1,17,1,11,1,17,2,13,1,28,1,29,1,13,1,29,1,7,2,29,1,7,1,30,1,7,2,6,1,29,1,13,2,8,1,29,1,8,1,13,1,8,3,13,1,9,1,11,1,9,1,11,1,9,6,11,2,16,2,11,1,16,2,9,1,17,2,11,1,16,1,17,1,11,1,16,2,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,1,16,3,17,1,16,1,17,2,16,1,17,1,11,1,17,2,11,1,16,1,11,1,8,1,11,5,10,1,11,3,16,1,11,1,9,1,10,1,11,1,16,6,17,1,16,2,17,1,16,1,17,2,16,4,17,1,16,12,17,11,12,1,9,2,8,1,13,2,8,1,13,1,24,1,8,1,7,1,13,2,8,1,7,1,28,15,30,1,28,1,8,1,13,1,8,1,13,1,8,2,13,3,8,2,9,1,13,2,30,1,6,1,8,1,9,2,30,1,28,25,30,1,28,1,6,1,13,2,6,1,13,3,8,1,13,1,8,1,13,1,7,2,13,2,6,2,30,1,28,162,29,1,9,1,8,1,24,1,29,1,13,1,29,1,28,52,30,1,28,23,30,1,28,7,30,1,9,1,17,2,11,1,17,2,12,1,17,1,9,1,11,1,17,1,11,2,12,1,9,2,12,1,9,1,10,1,8,1,9,1,13,1,6,4,28,5,30,1,28,9,30,1,28,2,30,3,7,1,6,1,13,1,30,1,13,2,30,1,7,1,29,1,6,3,30,1,6,2,28,1,6,1,30,1,28,2,30,1,29,1,28,2,30,1,29,1,13,1,8,1,13,2,17,1,11,1,17,1,12,3,13,1,12,1,8,1,9,1,24,1,8,1,24,3,25,1,24,1,25,3,24,2,8,1,10,1,8,2,24,2,25,1,24,1,8,1,24,2,25,1,10,1,8,1,12,1,8,2,10,1,24,3,8,1,24,1,9,4,10,1,17,1,10,1,12,1,10,1,12,1,17,1,9,1,12,1,17,1,12,3,10,1,12,2,9,1,12,2,24,4,8,1,24,1,6,1,9,1,13,1,24,2,10,1,24,1,17,1,9,2,17,2,12,1,17,3,10,1,17,1,11,1,10,1,12,2,9,1,17,1,12,1,24,1,12,2,10,1,24,2,8,1,24,1,8,1,24,4,8,1,10,1,27,1,25,1,8,1,25,1,6,1,25,3,8,1,25,3,8,1,10,1,8,1,12,1,24,2,8,1,6,1,30,1,7,1,6,1,7,1,25,1,8,1,6,1,25,1,7,1,25,1,8,1,24,2,8,1,24,1,10,1,12,1,24,1,12,1,24,2,10,1,12,1,9,2,24,1,8,1,24,1,13,1,24,1,7,1,8,1,13,1,7,1,8,2,7,1,8,1,13,1,7,1,28,1,30,1,28,39,30,1,6,1,13,1,6,1,9,1,13,1,12,3,9,1,10,1,11,1,9,1,8,1,11,2,17,1,12,1,17,1,12,1,17,2,11,2,10,1,9,1,10,1,9,2,10,1,12,1,11,1,9,6,8,1,12,1,8,1,24,1,8,1,13,1,7,2,13,1,6,1,13,1,9,3,13,2,5,68,30,1,28,4,29,1,30,1,28,4,6,1,16,1,17,2,11,1,13,1,7,1,30,1,28,5,30,1,6,1,29,1,13,1,17,1,9,1,28,7,10,1,17,1,24,1,28,31,6,1,15,1,13,1,6,1,29,1,30,1,}, {14,1,9,1,29,1,30,1,28,1,30,1,28,12,30,1,28,11,30,1,28,7,29,1,28,1,30,1,29,1,6,2,13,1,8,1,24,1,17,3,8,1,13,1,6,1,13,2,29,1,8,1,17,1,16,1,13,1,9,1,11,1,12,1,10,1,9,2,13,2,28,1,8,1,17,1,9,1,7,1,6,1,29,1,13,1,29,1,6,1,7,1,12,1,17,1,12,1,8,1,9,1,8,1,11,1,17,1,12,1,17,4,13,1,8,1,24,1,12,1,9,1,13,1,6,1,28,17,30,2,28,1,30,1,28,1,6,4,24,3,12,1,14,1,7,1,29,1,28,1,6,2,28,1,7,1,30,1,8,1,17,4,12,1,9,1,11,1,8,1,13,1,8,1,7,1,8,1,7,1,8,1,13,1,9,3,8,1,6,1,30,1,29,1,28,1,30,1,28,2,6,1,30,1,6,1,30,1,6,1,28,2,30,1,8,2,9,2,13,1,16,1,9,1,10,1,9,2,11,1,10,1,9,4,11,1,9,1,8,1,9,3,11,1,9,1,11,1,16,1,17,2,16,1,17,1,11,1,17,2,16,1,17,10,16,1,17,3,10,1,13,1,28,46,29,1,28,1,29,2,6,1,13,1,7,2,13,2,7,1,6,1,13,2,6,1,30,1,7,1,28,46,30,1,28,1,29,1,30,1,6,1,30,1,29,1,30,1,29,1,28,2,30,2,28,1,29,1,28,6,29,1,28,1,30,1,29,1,30,2,6,1,30,2,28,12,30,2,13,1,8,2,13,1,24,1,13,1,9,1,8,2,24,1,8,1,24,4,13,1,24,1,8,1,13,1,8,1,6,2,8,1,13,1,6,1,24,1,8,1,24,2,10,1,12,1,10,1,12,1,24,1,9,1,8,1,7,1,13,1,8,1,13,1,8,1,7,1,13,1,6,6,29,2,30,3,28,3,6,1,30,2,28,1,29,1,28,2,6,1,30,1,6,1,28,4,29,1,28,3,6,1,28,58,29,1,6,1,29,1,25,1,7,1,8,1,24,1,12,1,9,1,12,1,10,1,17,1,10,1,17,14,12,1,17,1,11,1,17,1,9,1,17,1,12,2,9,1,12,1,8,1,9,1,10,1,8,2,10,1,8,1,9,1,24,2,8,5,6,2,7,1,24,1,6,1,8,1,7,1,13,1,6,1,13,1,8,1,7,1,8,1,13,1,7,1,8,1,7,1,8,1,13,2,8,1,7,1,13,2,24,1,9,1,24,1,13,1,12,1,8,1,24,2,8,1,9,1,8,1,10,1,8,1,24,1,12,1,24,2,13,1,10,2,24,2,10,1,24,1,10,1,12,1,17,1,9,1,17,5,11,1,17,2,12,1,17,1,9,1,11,1,9,1,11,1,17,1,11,1,17,2,12,1,11,1,17,1,12,1,9,1,11,1,12,1,17,1,8,1,17,2,12,1,16,1,11,1,12,1,9,1,12,1,10,1,12,1,17,1,11,1,9,1,17,5,12,2,17,6,9,1,33,1,6,1,33,1,5,1,33,48,28,48,30,1,6,1,29,1,28,28,13,2,9,1,5,419,11,1,13,1,9,1,7,1,6,1,13,1,6,1,13,1,6,1,13,3,6,3,29,1,30,1,29,1,6,1,8,1,13,1,11,1,17,16,11,1,12,1,11,1,9,1,11,1,12,1,11,1,10,1,9,1,11,2,17,2,12,1,17,1,12,1,17,4,11,1,17,67,11,1,17,5,11,1,17,2,9,1,11,1,16,1,9,1,11,1,17,2,11,1,17,15,9,1,24,1,8,2,24,3,25,1,12,1,24,1,10,1,24,1,8,1,24,1,8,1,24,3,10,2,24,1,12,1,9,1,12,1,11,1,12,1,10,2,12,1,9,2,10,1,12,1,10,1,11,1,16,3,17,6,16,2,11,3,17,1,9,1,28,2,29,1,6,2,7,1,6,1,7,2,6,1,29,1,7,1,29,1,13,1,29,1,13,2,7,1,6,1,13,1,6,1,8,2,9,2,8,1,9,3,10,1,12,1,11,1,9,1,13,1,9,1,16,1,11,2,9,2,16,1,11,2,17,1,16,1,11,2,17,1,11,1,17,2,11,1,16,2,17,1,16,1,11,1,16,8,17,1,16,2,11,1,16,2,17,1,16,1,17,3,9,1,16,1,11,3,9,2,11,2,16,1,11,1,10,1,11,1,10,2,11,3,16,7,17,6,16,3,11,1,16,1,11,2,16,3,17,1,16,4,17,17,16,1,17,1,11,1,17,1,11,2,7,1,6,1,13,1,6,1,28,11,6,1,30,1,28,1,30,1,29,1,6,1,8,1,24,1,8,1,13,2,9,1,8,2,11,1,10,1,9,1,29,1,7,1,6,1,13,4,7,1,30,1,28,25,30,1,29,1,6,1,13,1,29,1,7,1,13,2,9,1,13,2,8,1,6,1,13,2,6,1,29,1,28,163,7,1,13,1,24,1,13,1,6,2,28,86,30,2,6,1,24,1,9,1,11,1,17,1,11,1,12,1,10,1,12,1,10,1,9,1,17,1,9,1,10,1,8,1,9,1,24,2,7,1,8,1,13,1,7,1,30,1,28,21,30,1,29,1,6,1,29,1,13,1,29,1,7,1,30,1,7,2,28,1,6,1,7,2,6,2,28,1,30,1,6,1,28,1,30,1,28,3,29,1,28,1,29,1,7,1,30,1,28,1,6,1,8,1,13,1,9,1,17,4,9,1,24,1,8,1,9,1,24,2,8,1,25,1,24,1,8,1,24,1,25,1,24,1,8,1,24,1,25,1,8,1,24,3,8,1,24,3,8,1,24,2,8,1,24,2,10,1,12,1,13,1,12,1,10,2,24,1,8,1,24,3,8,1,24,1,17,1,12,1,24,1,12,2,17,1,12,1,9,1,17,1,24,2,12,1,17,1,24,1,12,1,24,2,10,1,24,5,8,1,24,1,8,1,24,2,6,1,8,1,12,1,10,3,17,1,24,1,10,1,17,8,12,1,9,1,12,3,24,1,9,1,10,1,8,1,12,1,24,1,8,1,24,1,10,1,13,1,8,1,24,1,8,3,10,1,25,1,26,1,25,4,24,1,25,2,8,1,26,1,25,2,24,1,17,1,12,1,10,1,24,3,6,2,29,1,6,1,8,1,25,1,8,1,25,1,8,2,13,1,12,1,8,1,10,1,17,1,10,1,24,1,10,1,12,4,9,2,10,1,12,1,11,1,8,1,10,1,24,1,8,1,7,1,13,1,8,1,7,3,13,1,30,1,28,3,30,1,28,37,29,1,6,1,13,2,8,1,24,1,9,1,8,1,12,1,10,1,9,2,11,1,12,1,17,1,12,2,17,1,12,1,11,1,9,2,8,1,9,2,13,1,10,1,11,1,9,1,11,1,9,1,8,1,12,1,9,1,10,1,11,1,10,1,11,4,9,2,13,2,6,2,13,1,5,74,28,6,30,1,28,4,30,1,14,2,17,1,9,2,13,1,28,6,30,2,28,1,13,1,9,2,28,7,12,1,15,1,13,1,6,1,28,1,29,1,28,28,6,1,14,1,8,1,30,1,7,1,30,1,}, {14,1,8,1,13,1,28,1,30,1,28,16,30,1,28,3,6,1,28,13,30,1,7,1,29,1,6,2,13,1,24,1,8,1,12,1,17,2,9,1,8,1,13,1,6,3,9,1,17,1,16,1,9,2,10,2,12,1,13,1,10,1,13,2,30,1,8,1,17,1,9,1,13,1,30,1,7,1,29,1,7,1,29,1,13,1,10,1,17,1,10,2,8,1,9,1,8,1,24,1,12,1,17,3,16,1,12,1,8,1,9,2,12,1,13,1,28,13,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,5,29,1,13,2,9,2,16,1,17,1,8,1,29,1,30,2,13,1,30,1,6,2,12,1,17,3,12,1,17,1,11,1,8,1,9,1,13,2,8,1,13,1,29,1,13,1,9,1,10,1,15,2,24,1,30,3,28,2,30,1,28,3,30,3,28,3,9,2,8,1,9,3,11,1,10,1,9,1,11,1,8,1,9,1,11,1,9,2,8,1,9,7,11,1,17,1,16,1,17,2,16,1,17,1,16,1,17,12,16,2,17,3,11,1,13,1,30,1,28,43,6,3,7,1,29,1,7,1,6,1,7,1,13,1,7,2,24,1,8,2,6,1,29,1,6,1,28,1,30,1,28,37,30,1,28,9,29,1,28,1,30,1,6,1,29,1,6,1,30,1,6,3,29,1,13,1,29,1,6,1,29,1,6,1,28,1,29,1,30,1,29,1,6,1,28,2,30,1,28,1,30,1,7,1,28,2,29,1,28,11,29,1,6,1,13,2,24,4,10,2,9,1,10,1,24,3,10,1,13,1,7,1,13,1,6,1,29,1,30,1,6,1,7,1,6,2,7,1,29,1,7,2,8,1,24,1,8,1,24,2,13,1,24,1,13,2,24,1,7,2,13,1,29,3,6,1,30,2,28,2,30,1,28,8,30,1,28,2,30,1,28,1,6,1,30,2,6,1,30,1,28,66,29,1,28,1,8,1,6,1,13,1,8,1,24,1,8,1,10,1,11,1,17,1,12,1,17,21,12,1,10,1,9,2,10,1,9,1,10,1,8,1,9,1,10,1,9,1,10,1,7,1,8,1,24,1,7,1,8,2,7,1,6,1,13,1,6,1,13,1,7,1,6,1,7,2,8,1,6,1,10,1,6,1,9,1,13,1,8,2,13,1,8,1,13,1,29,1,24,1,8,1,24,2,8,1,24,1,8,1,10,1,8,1,13,1,8,2,13,1,8,1,13,1,12,1,8,1,24,2,8,1,24,1,12,1,8,1,7,1,24,1,12,1,24,1,12,2,24,1,10,1,12,1,10,1,17,1,12,1,10,1,12,1,9,2,17,1,9,1,11,1,9,1,17,1,11,2,12,1,10,1,17,1,9,1,17,1,11,1,17,1,12,1,17,1,12,2,11,2,10,1,12,1,17,1,12,1,17,1,11,3,17,11,16,1,17,3,16,1,5,2,33,49,5,1,33,1,30,1,28,45,30,1,28,2,30,2,6,1,28,29,6,1,7,1,13,2,5,418,11,1,13,1,8,1,13,2,6,1,29,1,7,2,13,1,6,1,7,1,30,1,28,1,30,1,7,1,28,1,30,2,8,1,12,1,13,1,17,17,11,1,17,1,11,1,12,1,11,3,9,1,10,1,11,1,12,1,11,1,12,1,11,2,17,2,12,1,17,75,11,2,17,2,11,1,16,2,17,1,11,1,17,2,11,1,17,14,12,1,9,1,13,1,8,1,24,1,13,1,10,1,8,1,7,1,24,1,10,1,24,1,9,1,24,1,12,1,10,2,24,1,12,4,17,2,12,1,10,1,17,1,12,2,8,2,9,1,10,1,9,2,16,1,17,4,11,1,17,2,16,1,17,2,11,1,16,1,11,1,7,1,28,3,29,1,7,1,6,1,13,1,6,2,7,1,29,1,6,1,29,1,7,1,13,1,29,1,13,1,7,4,13,1,8,2,13,2,8,2,9,1,17,2,11,1,16,1,9,4,16,2,17,1,16,1,11,1,10,1,16,1,10,1,17,4,11,1,16,1,17,1,16,2,11,1,17,1,16,4,17,1,16,1,17,1,16,7,11,1,16,1,11,1,16,1,11,1,16,1,9,2,17,1,11,1,16,1,10,1,11,2,16,1,11,2,9,1,11,2,9,1,10,1,11,5,16,6,17,5,16,6,11,2,16,7,17,24,12,1,9,1,6,1,28,12,30,2,28,1,29,1,7,1,13,2,24,1,13,3,9,1,17,5,6,3,8,1,13,1,8,1,13,2,7,1,28,22,30,1,29,1,6,2,13,2,7,1,13,1,9,1,13,1,8,1,13,1,7,1,6,1,13,2,6,1,30,1,28,163,6,1,7,2,6,1,28,2,6,1,28,83,30,1,28,4,6,2,13,2,8,1,11,1,9,1,17,2,11,1,10,1,9,2,16,1,9,3,13,3,29,1,6,1,28,20,29,1,28,1,30,2,29,1,6,1,7,1,6,1,13,1,6,3,30,1,7,1,6,3,28,1,29,2,6,1,28,1,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,3,13,2,8,1,13,1,11,1,12,1,17,3,9,1,8,3,10,1,24,1,8,2,25,1,24,2,27,1,24,1,8,2,12,1,24,1,25,1,24,2,10,1,24,1,8,1,24,1,8,1,10,1,24,1,10,1,8,2,24,1,10,1,24,2,8,1,17,1,9,1,24,4,10,1,12,1,17,1,24,2,10,1,9,1,12,1,10,1,12,1,17,1,12,1,9,1,12,1,24,1,12,1,10,1,8,1,10,1,24,1,8,2,24,1,8,2,24,1,8,2,10,1,24,2,12,1,17,1,24,1,12,1,9,1,17,3,12,1,17,1,12,1,11,1,17,1,12,2,9,1,24,1,10,1,12,2,10,1,17,1,12,1,9,1,12,1,24,1,10,1,8,1,24,1,13,1,25,1,8,1,24,1,8,1,24,1,8,4,25,1,24,1,25,1,8,1,24,2,26,1,8,1,24,1,25,1,10,1,24,2,12,1,10,1,7,1,8,2,25,1,24,1,25,2,13,1,24,1,25,1,24,1,10,1,24,3,10,1,24,1,10,3,12,1,10,1,17,2,12,1,17,3,12,1,17,1,9,1,8,3,7,1,8,1,7,1,29,2,28,43,7,1,29,1,8,1,6,1,24,1,13,1,24,1,11,1,12,1,11,1,9,1,11,2,17,1,11,1,10,1,11,1,8,1,9,1,13,1,9,1,11,1,9,2,13,4,8,1,9,1,13,2,9,3,10,1,9,1,11,3,9,2,13,2,5,77,28,10,30,1,13,1,12,1,17,1,12,1,9,1,8,1,13,1,28,2,30,1,28,3,30,1,28,1,30,1,7,1,8,2,28,6,30,1,14,1,9,1,6,1,30,1,29,1,28,29,8,1,9,2,6,1,29,2,}, {9,2,6,1,30,2,28,16,30,1,28,1,30,1,28,1,30,1,28,7,30,1,28,5,6,1,7,1,28,1,6,1,8,2,13,1,10,1,12,1,17,2,9,1,7,1,13,1,7,2,13,1,8,1,17,1,16,1,13,1,9,2,17,1,8,3,24,1,6,1,30,1,8,1,16,1,17,1,7,1,29,1,6,1,7,1,6,1,30,1,8,1,12,1,11,1,9,1,8,1,13,2,9,1,10,2,17,5,10,1,12,1,24,1,17,1,8,1,28,15,6,1,30,1,28,1,30,1,28,1,30,3,28,2,7,2,13,1,10,2,17,2,10,1,30,1,13,1,30,2,6,1,29,1,13,1,8,1,17,4,8,1,13,2,10,1,24,1,9,1,8,2,7,1,13,1,7,1,10,1,15,1,10,1,8,1,13,1,28,1,29,1,30,1,28,1,30,4,28,1,29,1,30,1,28,2,30,1,8,1,10,1,8,1,9,2,11,2,10,1,9,2,10,1,9,1,11,1,9,5,11,1,17,1,16,1,17,7,11,1,17,1,16,1,17,1,16,1,17,2,16,2,10,1,16,1,17,1,16,2,17,2,16,1,17,3,9,1,13,1,30,1,28,41,30,2,28,1,6,1,30,1,6,2,29,1,6,1,7,1,6,1,13,1,8,2,13,2,7,2,29,1,30,2,28,37,30,1,28,11,30,2,28,1,13,1,29,1,6,2,29,1,6,1,30,1,7,1,28,2,29,1,6,1,29,1,28,1,30,2,28,1,30,1,28,3,29,2,30,1,29,1,28,11,29,1,6,1,8,1,24,1,13,1,10,1,24,5,9,1,24,1,12,1,8,1,13,2,6,3,29,3,30,1,29,3,30,1,29,2,13,1,24,1,8,1,24,1,9,1,7,1,24,1,13,1,8,1,6,1,7,1,8,1,30,1,6,1,28,1,29,1,30,1,28,1,6,1,28,1,27,1,28,13,6,2,30,1,28,3,30,1,28,3,30,1,6,1,28,60,7,1,6,1,13,2,6,1,10,1,24,1,10,3,17,24,12,1,17,1,12,1,10,3,9,1,10,1,9,1,10,1,24,1,12,1,13,1,24,1,13,1,10,1,13,2,8,1,29,1,7,1,6,1,30,1,13,1,6,1,13,3,8,1,13,1,6,1,7,1,24,1,13,1,6,1,13,1,8,1,13,4,24,1,9,1,13,2,8,2,13,1,8,1,10,1,12,1,13,1,24,1,8,1,24,2,8,2,12,1,10,1,24,1,8,1,10,1,12,1,8,1,12,1,10,2,17,3,12,2,11,1,17,1,9,1,17,4,11,1,17,1,10,1,11,3,12,1,17,4,11,1,17,1,10,1,12,1,17,1,12,1,10,1,12,2,11,2,17,2,11,1,17,11,16,1,5,3,33,51,5,1,6,1,28,52,29,1,30,2,28,27,6,2,7,1,13,2,5,417,11,1,9,1,8,2,13,1,6,2,29,1,6,1,7,2,6,1,13,2,30,1,29,2,30,1,29,1,7,1,12,1,8,1,17,2,12,1,17,3,12,1,17,5,12,1,17,4,9,1,17,2,10,2,12,1,10,1,8,1,10,1,11,1,17,1,12,2,11,1,12,1,17,73,12,1,17,5,11,1,17,1,11,1,17,2,16,1,11,2,17,17,12,2,8,1,10,1,8,1,10,1,24,5,8,1,24,2,9,1,24,1,17,1,10,1,12,1,17,1,12,1,11,2,12,5,9,1,11,1,13,2,9,2,12,1,16,2,17,5,16,1,11,1,16,1,11,1,12,1,11,1,28,2,30,2,7,1,30,1,6,2,7,1,29,2,6,1,7,1,29,1,6,1,7,2,6,1,7,3,6,1,13,5,8,1,9,3,16,1,11,2,10,1,9,2,11,1,16,5,9,1,11,1,16,1,11,1,17,1,9,2,10,1,11,1,16,3,11,2,16,1,10,1,16,3,17,1,11,1,17,2,16,2,11,2,16,1,11,2,17,1,16,1,17,1,16,1,10,1,11,1,9,1,17,1,11,1,10,1,9,1,11,1,16,1,11,2,16,1,11,3,9,2,16,1,11,2,9,2,16,1,17,1,16,4,17,4,16,6,9,1,11,3,17,1,16,5,17,1,16,2,17,23,9,1,28,14,6,1,7,1,8,1,24,1,8,3,17,7,16,1,17,1,10,1,7,1,13,1,6,1,10,1,13,2,6,1,28,23,30,1,28,1,6,1,9,1,6,1,8,2,7,1,6,1,13,2,6,1,13,1,6,1,13,1,29,1,28,162,30,1,6,1,9,1,13,1,28,1,6,1,13,1,29,1,28,1,30,1,28,85,30,3,29,1,13,1,7,1,13,2,12,1,9,1,11,4,10,1,9,3,10,1,24,1,8,1,13,1,6,3,28,19,30,1,28,3,6,1,30,1,6,1,13,1,6,1,7,1,29,1,13,1,6,1,7,2,30,2,6,1,28,2,30,1,28,1,30,1,28,6,6,1,30,1,6,1,28,1,6,1,13,1,29,1,6,2,13,1,9,1,11,2,17,1,10,2,8,2,24,2,13,1,24,1,25,1,10,2,8,1,24,1,25,1,24,2,12,2,24,1,8,1,24,2,12,1,24,3,12,1,8,2,9,2,24,1,9,1,24,1,12,1,8,1,12,1,8,1,12,1,24,1,17,1,8,1,12,2,9,2,10,1,17,2,12,2,10,1,12,1,9,1,12,1,24,1,8,1,24,1,8,2,24,1,8,2,10,1,24,1,10,1,24,2,10,1,13,1,12,1,8,1,24,1,10,1,24,1,17,11,9,1,17,2,10,2,8,1,10,1,24,3,8,1,12,1,10,1,8,1,24,2,10,1,13,1,24,1,7,1,24,1,8,1,6,1,10,1,8,1,24,1,25,2,24,1,8,1,24,1,27,1,25,2,24,1,8,1,24,2,12,1,24,2,10,2,24,1,8,3,24,2,8,1,24,3,9,2,10,1,12,1,24,1,12,2,10,1,17,5,9,2,10,1,9,1,8,1,6,2,7,1,6,2,28,1,29,1,28,43,6,2,13,1,7,1,13,1,24,1,8,1,9,1,17,1,10,1,12,2,11,3,8,1,6,1,13,1,9,2,5,101,28,5,30,1,28,5,29,1,8,1,17,1,15,1,10,1,6,2,28,6,29,2,7,1,6,1,8,1,9,1,28,6,30,1,15,1,10,1,29,2,6,2,30,1,28,27,6,1,17,1,13,1,30,1,6,1,28,1,}, {14,1,15,1,13,1,28,21,30,1,28,1,30,1,28,12,30,1,6,2,13,2,7,1,6,1,12,2,17,2,10,1,6,1,13,1,6,2,7,1,10,1,16,1,17,1,16,1,9,2,12,1,9,1,13,1,8,1,6,1,8,1,30,1,6,1,17,2,13,1,6,1,29,1,30,1,7,1,30,1,8,1,11,1,9,2,8,2,13,1,9,1,12,1,17,6,12,1,9,2,15,1,13,1,30,1,28,13,6,1,28,2,30,2,28,2,30,1,28,1,29,4,6,1,10,2,11,2,8,1,6,1,29,1,28,1,6,1,28,1,30,1,6,1,8,1,11,1,17,1,16,1,8,1,11,1,13,1,24,1,9,1,8,1,6,1,13,3,8,1,12,1,9,1,15,1,10,1,8,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,2,30,1,28,4,13,1,11,1,9,4,11,1,9,3,11,1,10,1,9,1,11,1,10,1,9,2,11,1,17,2,16,1,11,1,17,1,16,4,11,2,16,2,17,1,11,2,16,1,11,1,16,4,17,1,16,2,11,1,16,2,17,2,9,1,30,1,28,40,30,2,28,1,29,1,6,2,29,1,6,1,29,1,7,1,29,1,8,1,7,1,25,1,8,1,7,1,13,1,8,1,29,2,6,1,28,2,6,1,28,33,30,2,6,1,28,3,30,1,28,6,30,2,28,1,29,1,6,1,30,3,28,4,7,1,29,2,28,1,30,1,28,1,6,1,30,1,28,3,29,2,13,1,30,2,6,2,28,10,29,1,30,1,29,1,13,3,8,1,24,1,8,1,24,2,9,1,13,1,24,2,13,2,6,1,30,1,6,2,29,1,30,1,28,9,7,1,13,2,8,2,13,1,8,1,13,1,7,1,6,1,30,1,28,1,29,1,30,2,29,1,28,3,29,1,28,7,30,1,28,5,30,1,28,2,30,1,6,1,28,8,30,1,28,1,29,1,28,54,30,1,28,1,29,1,6,1,24,1,7,1,24,1,8,1,24,1,12,2,17,26,12,1,17,2,10,1,9,3,12,1,10,1,12,1,9,1,24,1,9,1,8,1,9,1,13,2,8,1,7,1,13,1,7,1,13,1,8,2,7,2,8,1,13,1,7,2,8,1,6,1,24,2,13,1,7,1,13,1,8,3,24,2,6,1,24,1,6,1,24,1,8,1,24,1,6,1,8,1,13,2,8,1,24,3,12,2,7,1,13,1,8,1,10,1,12,1,8,1,12,1,24,1,12,1,9,1,17,2,12,1,17,1,11,1,17,3,9,1,17,1,9,1,12,1,11,1,17,1,12,2,17,1,11,1,17,1,12,1,17,3,9,1,11,1,12,2,11,2,10,1,17,4,12,1,17,4,16,1,17,1,11,1,17,4,5,2,33,52,5,1,33,1,28,52,30,1,28,1,30,1,28,1,30,1,28,29,29,1,8,1,9,1,6,1,13,1,5,415,9,2,13,1,24,1,7,1,13,1,6,2,7,1,6,1,7,1,13,1,7,1,13,1,29,1,7,1,6,1,29,1,8,1,13,1,10,1,8,1,24,1,12,1,17,16,11,4,9,1,12,1,17,1,11,1,10,1,11,1,12,2,17,81,12,1,17,1,11,2,17,4,11,1,17,18,12,1,9,1,24,1,12,1,13,1,24,1,10,3,9,2,24,1,12,3,11,1,17,1,12,1,11,1,12,1,17,3,12,2,10,2,9,2,8,1,9,1,11,3,17,2,16,1,17,2,11,1,17,1,16,1,11,1,17,1,8,1,30,2,28,1,6,1,30,1,29,1,6,4,13,1,6,5,7,1,6,1,29,1,13,1,6,2,29,1,7,2,13,4,8,1,11,5,9,3,16,1,17,1,16,4,11,4,17,1,9,2,16,3,17,1,16,5,17,1,16,3,17,2,16,4,9,2,11,1,9,1,16,1,9,1,11,1,16,1,9,1,16,1,11,1,9,2,17,1,8,1,16,1,10,1,9,1,11,1,9,1,16,1,10,1,11,1,9,1,11,2,16,1,10,1,16,5,17,1,16,1,17,4,16,8,11,1,16,3,17,1,16,3,17,2,16,1,17,25,13,1,28,11,30,2,6,1,7,1,13,1,8,2,9,1,17,2,16,2,11,1,9,1,8,1,9,1,12,1,17,2,16,1,13,1,6,1,9,1,13,1,9,2,6,1,28,24,30,1,13,1,7,1,13,2,7,1,13,1,7,1,13,2,30,2,28,163,6,1,8,1,6,1,30,1,29,1,28,95,30,1,6,1,13,1,7,1,6,1,13,1,9,2,10,2,17,1,16,1,11,1,9,3,8,1,13,1,8,1,6,1,30,1,28,19,30,3,6,1,29,1,7,1,28,2,29,2,8,1,7,2,13,1,6,2,29,2,7,1,28,1,30,1,28,8,30,1,6,1,28,2,30,4,29,1,7,2,8,1,9,1,12,1,17,3,8,1,10,1,8,1,10,1,8,1,13,1,8,1,6,1,8,1,24,1,25,1,12,1,24,2,8,1,9,1,24,3,8,1,24,2,10,1,24,2,12,2,10,2,9,1,10,1,12,1,24,1,10,1,12,1,10,3,9,1,10,2,17,1,12,1,9,1,17,1,9,1,12,1,10,1,8,1,9,1,12,1,9,1,8,1,13,1,24,1,8,2,24,1,8,1,10,1,8,2,12,2,24,2,10,1,12,1,9,2,12,1,9,1,10,2,12,1,17,5,12,1,17,3,9,1,17,1,24,1,12,1,8,1,12,1,24,1,17,1,8,1,10,2,24,1,10,1,24,1,12,1,24,1,8,2,25,1,8,5,24,2,8,1,24,1,8,1,25,1,8,3,24,1,25,1,24,2,10,1,24,1,10,1,12,2,8,1,17,1,24,2,10,1,8,1,24,1,8,1,24,1,10,1,9,2,10,1,12,1,9,1,12,2,11,1,17,7,11,1,13,1,6,3,29,1,7,1,28,46,6,1,7,1,13,3,8,1,13,1,12,1,17,3,9,1,11,2,13,2,9,1,13,1,5,103,28,3,30,1,28,1,30,1,28,5,30,1,8,2,9,1,24,1,8,1,29,1,28,1,29,1,28,4,30,1,29,1,6,1,13,1,24,1,13,1,28,6,30,1,14,1,8,1,6,2,13,1,6,1,28,28,13,1,12,1,9,1,28,1,6,1,30,1,}, {14,1,24,1,13,1,28,4,30,1,28,11,30,1,28,3,30,1,28,3,6,1,28,11,6,1,30,2,7,1,8,1,7,1,10,1,24,1,11,1,17,2,11,1,29,1,13,1,29,1,8,1,6,1,8,1,17,1,16,1,9,1,10,2,9,1,17,1,24,1,8,1,13,1,6,1,30,1,13,1,12,1,16,1,13,1,6,1,30,1,29,1,13,1,6,1,8,1,9,1,12,1,9,3,24,1,9,1,8,1,9,1,17,4,12,1,16,1,8,1,10,2,6,1,28,7,30,1,28,5,30,1,28,2,6,1,29,1,28,3,30,1,28,3,6,2,8,1,11,1,12,2,11,1,9,1,13,1,30,2,29,1,30,1,29,2,9,1,8,1,12,1,17,1,12,2,9,1,24,3,8,2,6,1,30,1,7,1,8,1,9,1,17,1,9,1,8,1,30,2,28,1,30,2,28,3,30,3,6,1,30,1,28,2,13,1,9,1,10,1,9,9,11,1,9,3,16,2,17,1,9,1,11,3,16,2,9,1,17,1,16,2,11,1,17,4,16,3,17,2,16,2,11,1,16,2,11,1,16,1,11,1,17,1,13,1,28,40,30,1,28,3,29,1,8,1,28,1,6,2,8,1,6,2,25,2,8,2,7,3,6,1,7,1,28,1,29,1,28,35,6,1,28,1,29,1,28,3,29,1,28,5,30,1,28,3,30,1,6,2,28,2,29,1,28,1,6,1,28,1,13,1,28,8,29,1,28,3,6,3,29,2,30,1,28,1,29,1,28,8,30,1,29,1,13,2,24,1,9,1,13,1,9,1,8,3,10,1,8,1,13,2,6,3,28,2,29,1,28,10,6,1,29,1,6,1,7,1,8,1,7,2,13,1,28,1,29,1,30,1,28,1,30,2,28,1,29,1,28,17,30,1,28,2,6,1,28,66,6,1,7,3,24,1,6,1,24,1,9,1,12,3,17,26,12,1,17,3,9,1,12,2,10,1,11,1,10,1,9,1,17,1,9,1,24,1,8,2,10,1,13,1,8,2,13,1,8,1,13,1,7,1,24,1,6,2,8,1,13,3,24,1,30,1,7,1,13,1,8,1,7,2,13,1,8,3,24,1,7,1,6,1,24,1,13,1,24,1,8,2,24,1,8,1,13,1,24,2,9,1,24,1,9,1,13,1,24,1,10,1,24,2,9,1,12,1,11,1,9,1,12,1,17,1,12,1,17,1,12,1,17,6,12,1,17,2,12,1,11,1,12,1,17,1,12,1,17,1,11,1,17,2,12,2,17,2,9,1,12,1,17,4,11,1,17,4,16,1,17,1,16,1,17,2,16,1,5,3,33,53,5,1,13,1,28,53,30,1,28,1,29,1,28,1,6,1,28,31,13,1,8,1,13,1,28,1,5,415,10,1,13,1,9,1,24,1,8,1,6,1,7,1,13,1,7,1,6,1,7,1,8,1,29,1,30,1,6,2,30,1,13,1,30,1,9,1,24,1,9,1,12,1,9,1,11,1,17,7,12,1,17,6,11,1,12,1,10,2,11,1,17,1,11,1,9,1,11,2,12,1,11,2,17,1,12,1,17,80,16,1,11,2,16,1,11,1,17,21,12,1,9,3,10,1,24,1,10,1,11,1,8,1,10,4,12,2,10,2,17,1,11,1,12,2,11,1,12,1,11,2,10,1,8,1,9,3,11,2,17,5,16,1,11,1,16,2,11,1,9,1,30,1,28,1,29,1,28,1,6,1,30,2,6,1,29,1,7,1,6,3,29,1,6,2,30,1,6,2,7,1,29,2,13,1,8,1,7,1,6,1,8,5,9,2,11,1,9,1,11,1,9,1,10,1,16,3,17,2,11,1,9,1,16,5,11,2,16,6,17,1,16,1,17,1,16,7,17,1,16,1,11,1,9,2,10,1,11,1,10,1,9,2,11,1,17,1,11,1,9,1,11,1,17,1,10,1,11,2,10,2,11,1,16,1,11,1,9,1,10,1,11,2,9,1,16,1,11,4,16,1,17,1,16,2,17,2,16,1,17,2,16,2,11,1,16,2,11,1,17,1,11,2,16,6,17,2,16,1,17,25,11,1,30,1,6,1,9,1,16,1,9,1,8,1,9,1,29,1,28,6,6,1,7,1,24,1,8,1,12,1,17,2,16,1,11,1,16,1,11,1,16,2,17,5,13,1,8,1,13,1,8,1,9,2,6,1,28,22,30,2,6,1,8,1,13,2,7,1,13,1,7,1,30,2,6,1,28,163,7,1,6,1,7,1,30,1,28,69,30,1,28,2,30,2,28,22,30,1,6,1,28,1,30,1,6,1,30,1,13,1,6,1,13,1,9,3,17,1,9,1,17,1,12,1,24,2,9,1,13,1,29,1,28,22,30,2,29,1,28,1,7,4,6,1,7,1,13,1,6,2,7,2,30,1,6,1,30,1,29,2,28,2,30,1,28,4,13,1,28,1,30,2,28,1,29,1,30,3,28,1,30,1,13,1,6,1,10,1,13,1,9,1,12,1,17,1,9,2,10,1,12,1,24,3,9,1,8,2,10,1,24,2,6,1,10,1,8,1,13,1,8,1,24,2,10,2,24,1,12,1,10,1,24,2,9,1,24,1,10,1,12,1,9,1,12,1,10,1,12,1,17,3,12,1,24,1,10,1,12,2,9,1,12,2,10,1,12,2,24,2,8,1,12,1,8,2,24,1,9,1,6,1,24,1,10,2,8,1,10,2,9,1,12,1,17,1,24,1,9,1,24,1,9,1,24,1,9,1,11,1,9,1,10,2,17,5,10,1,12,1,10,1,17,1,12,5,10,1,9,1,10,1,24,1,10,1,24,1,13,2,24,2,8,1,24,3,13,1,24,1,8,1,25,1,24,1,29,1,24,1,8,1,24,3,8,1,24,1,10,2,12,3,17,1,8,1,17,1,12,2,24,1,12,1,10,3,24,2,9,1,10,2,12,1,9,1,10,1,9,1,17,8,12,1,29,1,7,1,6,1,29,1,28,49,13,1,6,1,7,1,8,2,9,2,17,1,11,1,12,1,17,1,9,1,13,1,30,1,13,2,5,37,33,1,5,1,33,1,5,1,33,1,5,1,33,2,5,1,33,1,5,4,33,1,5,52,28,11,29,1,8,5,6,1,30,1,28,4,30,1,28,1,6,2,8,1,9,1,13,1,28,6,29,1,14,1,9,1,6,1,29,2,7,1,28,28,10,1,12,1,24,1,30,3,}, {11,1,9,1,30,1,6,1,30,1,28,2,30,1,28,10,30,1,28,19,30,1,6,1,28,1,6,1,7,1,13,1,24,1,9,1,17,1,16,1,17,2,9,1,13,2,29,1,7,1,13,2,16,1,17,1,9,1,8,1,10,1,17,1,10,1,8,2,13,2,7,1,13,1,11,1,17,1,6,1,13,1,30,2,6,1,30,1,13,2,10,1,9,1,10,1,9,2,10,1,13,1,9,1,17,4,16,1,12,1,10,2,24,2,30,1,28,5,30,1,28,7,30,4,28,1,30,2,28,1,30,1,28,2,30,1,6,1,8,1,24,1,11,1,12,2,9,1,28,2,6,1,29,1,30,1,6,1,29,1,8,1,9,1,12,1,17,2,10,1,17,1,12,1,9,1,10,1,9,1,13,4,8,2,10,1,24,1,8,1,6,1,30,3,28,1,30,2,28,4,6,1,30,1,28,2,8,1,17,13,16,3,11,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,4,16,6,11,1,16,2,9,2,16,1,11,4,17,1,30,1,28,34,30,1,28,5,30,1,28,2,29,1,28,1,29,1,6,1,13,1,30,1,13,1,6,1,8,1,29,1,8,2,29,1,24,1,8,1,7,1,30,1,29,1,30,1,28,3,30,1,28,29,30,1,28,5,30,1,28,2,29,1,28,4,6,1,28,11,30,2,28,12,30,2,6,1,29,3,13,1,7,1,29,1,28,7,29,2,6,1,29,1,7,1,8,1,24,1,8,1,24,1,8,2,10,1,8,2,13,1,8,1,6,1,29,1,28,14,6,1,30,2,28,1,29,1,6,1,28,1,29,1,28,3,30,1,28,22,29,1,30,1,28,1,30,2,28,64,30,1,29,1,6,1,8,1,13,1,8,3,11,2,17,37,10,1,11,1,9,1,8,1,9,1,8,1,9,1,8,1,24,2,9,1,24,1,8,1,13,1,24,1,8,1,7,3,24,1,8,2,7,1,24,1,10,1,6,1,24,1,13,1,24,3,13,2,8,1,13,1,9,1,10,1,8,1,24,2,8,1,12,1,24,2,12,1,8,1,10,1,24,3,8,2,10,1,17,1,12,1,17,1,10,1,17,1,10,2,17,9,11,2,12,2,17,1,10,1,17,9,12,1,17,3,12,1,17,8,16,2,5,2,33,55,5,1,13,1,28,55,30,1,28,2,30,1,28,31,30,1,29,1,13,1,6,1,30,1,5,414,17,1,9,1,8,1,13,1,30,1,7,1,13,1,6,2,7,2,6,2,7,1,30,1,6,1,29,1,30,1,6,1,13,1,24,1,13,1,8,1,17,1,11,1,17,14,9,1,11,1,12,2,9,1,12,2,11,1,9,1,12,3,17,84,11,2,16,1,17,5,11,1,17,18,11,1,9,1,24,1,9,1,24,1,12,2,9,1,11,1,12,1,11,1,12,2,17,4,11,1,10,1,12,2,11,2,12,1,8,2,10,1,12,2,11,1,17,1,11,1,17,1,10,1,17,1,16,2,17,1,12,1,9,1,30,1,28,1,29,1,30,1,6,1,29,1,30,1,6,2,29,2,7,1,30,1,7,1,6,3,29,1,7,1,30,1,8,1,6,3,13,1,6,1,24,1,13,1,8,1,9,1,13,1,9,5,11,1,9,1,16,2,11,1,17,1,16,1,11,1,10,1,9,1,11,1,10,1,9,1,16,2,11,2,17,1,16,1,11,1,16,1,17,2,16,6,11,1,16,1,11,2,16,1,11,1,16,1,9,1,13,1,9,2,8,1,11,1,9,1,11,1,9,2,8,1,11,1,17,1,11,3,9,1,13,1,9,1,11,2,9,2,10,1,9,3,17,1,11,1,16,4,17,1,16,1,17,1,16,2,17,1,16,2,11,1,16,2,11,1,16,1,11,1,16,1,11,4,16,2,17,31,16,2,17,6,13,1,30,1,7,1,13,1,24,1,13,2,6,1,8,1,17,2,16,1,8,1,9,1,16,1,11,1,17,9,9,5,6,1,28,22,29,1,6,1,8,1,6,1,13,1,6,1,13,1,6,2,29,1,28,162,7,1,13,2,6,1,28,7,30,1,28,61,30,1,29,1,28,2,30,1,28,2,30,2,28,19,30,1,28,1,30,1,28,1,29,1,30,1,6,3,30,2,13,4,9,1,8,1,9,1,12,1,17,1,11,1,13,2,30,2,28,18,6,1,28,1,6,1,30,2,6,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,29,1,30,1,29,1,7,1,29,1,28,1,30,1,28,13,30,1,28,2,30,1,6,1,30,2,6,3,8,1,9,3,10,2,24,1,9,1,8,1,10,1,24,4,8,1,12,1,13,1,24,1,10,5,12,1,8,1,12,1,13,1,12,1,24,2,9,1,24,1,12,1,10,1,24,1,17,1,12,3,10,1,12,2,17,2,24,1,17,1,9,1,10,1,12,1,10,1,12,1,9,1,12,1,10,1,24,2,9,1,24,1,8,1,24,2,8,1,24,2,10,1,9,1,12,2,10,1,12,1,24,1,9,1,13,1,17,1,9,1,24,1,10,1,24,1,8,1,24,1,10,2,17,4,12,2,11,1,12,1,10,3,12,1,10,1,17,1,12,1,9,1,12,1,8,1,24,1,8,1,24,1,8,1,10,1,24,1,8,1,12,1,24,4,8,1,12,1,24,1,8,1,12,1,8,1,24,2,10,1,24,2,17,1,12,3,10,1,17,2,10,1,17,1,12,1,10,2,12,2,9,1,17,1,12,3,17,1,12,1,17,9,12,1,7,1,6,1,29,1,28,1,30,1,28,2,30,1,28,45,30,1,13,1,6,1,13,1,24,1,13,1,10,1,13,1,12,1,9,1,17,1,8,1,30,1,13,2,5,29,33,3,5,1,28,23,30,1,5,1,33,1,5,46,28,4,6,1,30,1,28,5,30,1,8,1,12,1,15,1,12,1,6,2,7,1,28,1,30,1,28,1,30,1,28,2,6,1,7,1,24,1,9,1,8,1,28,6,30,1,9,2,30,1,8,1,30,1,29,1,28,28,12,1,17,1,8,1,7,1,30,1,28,1,}, {9,1,11,1,7,1,30,1,28,26,30,1,28,9,30,1,28,1,6,1,24,1,13,1,6,1,11,1,17,3,9,1,6,1,7,1,29,1,13,1,7,1,13,1,12,1,17,1,10,1,13,1,9,1,16,1,9,1,10,1,11,1,13,1,7,2,13,1,11,1,9,1,6,1,13,1,6,1,30,1,29,1,6,1,7,1,24,1,17,2,11,1,9,1,13,3,9,1,11,1,16,1,17,2,12,1,11,1,10,1,8,1,9,1,13,1,6,1,28,8,29,1,28,7,29,1,28,2,30,1,6,1,30,1,28,2,30,1,13,1,24,1,10,1,24,1,9,1,12,1,9,1,7,1,6,1,29,1,7,1,6,2,7,1,13,1,9,1,17,1,11,1,17,1,16,1,12,2,9,2,24,1,9,1,13,1,29,1,6,1,13,1,8,1,10,1,12,1,8,1,28,1,30,1,29,1,28,4,30,2,28,2,30,1,28,3,9,1,12,2,11,1,17,5,16,1,11,2,17,2,11,1,17,1,11,1,16,1,17,5,16,2,17,1,16,1,17,1,16,1,9,4,16,1,9,1,11,1,9,1,16,1,11,1,16,2,11,1,9,2,11,1,16,1,17,1,9,1,29,1,28,40,6,1,28,1,30,2,7,1,29,1,30,1,8,1,6,1,7,1,8,1,7,2,8,3,7,1,8,1,6,2,30,1,28,1,29,1,28,39,6,1,28,1,30,1,28,7,30,1,28,3,30,1,28,5,30,2,28,13,29,1,30,1,6,1,13,1,6,1,8,1,29,1,30,1,28,7,30,1,6,1,7,1,13,2,8,1,13,1,24,1,10,1,8,1,13,1,24,1,13,1,24,1,7,1,6,1,29,1,28,15,29,1,28,2,30,1,28,9,29,1,28,88,29,1,6,1,8,1,7,1,8,1,13,1,8,1,10,1,9,1,12,1,17,40,24,1,10,1,11,1,12,1,24,1,10,1,12,1,24,2,8,1,10,1,24,1,9,1,10,1,9,1,8,1,6,1,8,1,7,1,24,2,13,1,8,1,12,1,13,1,8,3,24,2,7,1,24,1,8,1,13,1,10,1,24,1,8,1,9,1,10,1,9,1,8,1,12,1,24,2,10,1,24,1,9,2,10,1,17,2,12,1,11,1,10,1,17,1,12,1,17,1,12,1,17,1,12,1,11,1,17,2,10,1,17,4,12,1,17,9,11,1,17,2,11,1,17,1,16,1,17,1,16,1,17,5,11,1,5,1,33,60,6,1,28,91,29,1,28,1,10,2,28,1,13,1,5,413,9,2,7,1,24,1,13,2,6,1,13,2,6,1,13,1,28,1,30,2,6,1,29,1,6,1,7,2,28,1,12,1,8,1,9,1,11,1,12,1,17,14,11,2,17,1,11,1,9,1,10,1,12,1,11,2,12,1,11,1,9,1,11,2,17,83,11,2,17,1,16,2,11,1,17,22,9,1,10,3,9,2,11,1,12,1,17,1,12,1,17,1,12,2,9,1,17,1,10,1,17,1,11,1,12,1,9,1,11,2,9,2,12,2,17,2,16,2,17,2,12,1,11,1,12,1,10,1,9,1,28,2,30,2,29,1,30,2,29,3,6,2,29,3,6,2,29,2,6,1,7,2,29,2,13,2,6,1,8,3,9,3,11,1,9,1,11,1,9,1,10,1,9,1,16,1,11,4,16,1,11,1,16,2,11,1,9,1,16,1,9,1,11,2,16,1,17,1,16,6,11,1,16,1,11,1,16,4,17,2,11,1,8,1,9,1,8,1,9,5,10,1,11,1,9,1,11,1,10,2,9,1,10,1,16,1,9,1,10,1,11,2,9,1,10,1,9,1,11,1,10,1,11,1,16,1,11,2,9,1,16,4,17,1,16,2,17,2,16,3,11,1,16,1,11,3,16,1,11,2,9,1,11,1,16,2,17,2,16,3,17,40,16,1,17,3,16,1,17,1,9,1,10,1,11,1,16,2,17,10,11,3,9,1,13,1,6,2,28,18,30,1,29,1,6,1,13,1,6,1,7,1,6,2,28,1,30,1,28,161,30,1,7,1,8,1,6,1,28,1,30,1,28,72,30,1,28,4,29,1,28,17,30,1,28,3,30,2,29,1,6,1,28,1,29,1,6,1,28,1,6,2,13,1,6,1,13,1,8,1,7,1,9,1,13,1,8,2,9,1,11,1,10,1,9,1,28,20,30,3,6,3,29,1,6,1,13,1,30,1,13,1,6,1,7,1,29,1,6,2,29,1,6,1,30,1,28,6,30,1,28,3,30,1,28,2,30,3,6,3,7,1,6,1,30,1,13,3,8,1,7,1,10,1,11,1,24,1,9,2,24,1,8,3,24,2,8,1,12,1,10,1,24,2,12,1,24,1,8,1,10,2,24,3,10,1,12,2,17,1,12,1,11,1,17,1,8,1,17,1,12,1,17,1,12,4,9,1,17,1,24,1,9,1,24,1,8,1,24,1,17,1,24,1,10,1,12,1,10,1,8,1,13,1,24,1,8,1,12,1,8,1,24,1,10,1,17,1,10,1,9,1,8,1,10,1,11,1,10,1,24,1,9,1,8,1,24,1,10,1,24,2,8,1,10,1,9,1,10,1,17,2,12,1,17,2,12,2,17,1,24,1,12,1,10,1,17,1,9,1,10,2,9,1,8,4,13,3,8,1,13,1,24,3,8,1,24,7,17,1,24,1,8,1,24,1,10,1,24,1,10,1,12,1,10,1,12,1,10,1,17,1,24,1,12,1,17,1,9,1,17,1,12,1,17,3,12,1,17,3,12,1,17,9,12,1,6,1,29,1,6,1,30,1,29,1,28,47,30,1,29,1,28,1,29,1,7,1,13,2,9,1,24,1,9,2,17,1,9,1,6,1,13,1,5,27,33,1,9,1,13,1,28,17,30,1,28,2,30,1,6,4,28,5,13,1,5,45,28,1,30,3,28,7,30,1,14,2,9,1,12,1,8,1,29,1,30,1,28,6,30,1,7,1,8,1,9,1,8,1,28,6,30,1,24,1,9,1,29,1,13,1,30,1,28,29,9,1,12,1,24,1,7,1,29,2,}, {15,1,10,1,7,1,28,2,30,1,28,3,30,1,28,9,30,1,28,21,29,1,7,1,6,1,13,1,8,1,12,1,17,3,9,1,7,1,30,1,6,1,7,1,29,1,24,1,12,1,17,1,9,3,14,1,15,1,11,1,8,2,13,1,6,1,28,1,17,1,10,1,24,1,6,1,29,1,6,1,30,1,6,1,29,1,24,1,17,2,16,1,17,1,9,1,8,1,10,1,9,1,10,1,11,1,17,3,9,5,28,9,30,1,28,7,6,1,30,1,29,2,30,1,28,2,30,2,8,1,24,1,9,1,10,2,17,1,9,1,6,2,29,1,7,1,30,1,28,1,29,1,13,1,24,1,17,1,12,1,17,2,15,1,10,1,9,1,24,1,8,1,6,1,13,2,6,1,13,1,9,1,12,1,17,1,24,1,6,2,28,5,30,1,28,4,30,1,28,2,9,1,11,1,17,1,12,1,17,2,11,1,17,2,16,2,17,1,11,1,16,1,17,6,16,1,17,1,16,1,11,4,9,4,16,2,9,2,16,1,11,1,16,2,9,1,17,1,11,2,16,1,13,1,11,1,16,1,9,1,28,39,30,1,28,1,30,1,29,2,28,1,6,1,13,1,6,1,8,1,30,1,13,1,7,1,13,1,7,1,13,1,8,2,7,1,30,3,29,1,28,37,30,1,28,3,29,1,30,1,29,1,28,1,30,1,28,30,30,1,29,1,6,1,29,2,13,2,29,1,28,6,30,2,29,1,13,1,7,1,8,2,24,3,12,1,10,1,24,1,8,1,9,1,7,1,6,1,28,30,30,1,28,7,30,1,28,14,30,1,28,1,30,1,28,61,30,3,13,1,8,3,12,1,24,1,17,1,16,1,17,40,10,1,12,1,10,1,17,1,12,1,9,2,10,1,12,1,8,1,13,1,24,2,8,1,24,1,8,2,7,1,8,1,6,1,8,1,9,1,8,1,24,1,6,1,24,2,8,1,13,1,10,1,13,1,24,2,13,1,24,1,12,1,24,1,10,1,13,1,24,4,12,1,10,2,12,1,24,1,9,1,10,2,12,2,10,1,12,1,10,1,12,1,17,1,12,1,17,6,11,1,17,1,12,1,17,10,11,1,17,1,16,1,17,1,16,3,17,2,16,2,5,4,33,1,5,1,33,55,5,2,28,95,8,2,13,1,28,1,5,413,16,1,17,1,29,1,9,1,8,1,7,1,6,1,7,1,13,1,6,1,7,1,30,1,29,1,30,1,6,2,30,1,29,1,6,1,13,1,9,1,8,2,10,2,12,1,17,16,11,1,10,1,12,2,9,2,11,1,17,1,11,1,12,1,17,1,12,1,17,82,11,2,16,1,17,26,12,2,10,3,11,1,17,1,10,1,17,2,12,2,17,4,12,1,10,1,17,2,11,3,12,1,11,1,17,2,16,1,17,1,11,1,16,3,11,1,9,1,7,1,28,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,29,2,30,1,29,1,7,1,30,1,7,2,6,1,7,1,6,1,8,1,6,1,7,1,6,1,7,1,6,1,13,2,8,1,13,2,9,2,10,1,9,3,16,1,11,1,10,1,16,1,9,1,11,1,9,1,11,2,16,1,10,1,9,1,11,1,10,1,11,1,9,1,8,1,11,2,16,1,11,1,16,3,17,1,16,4,11,1,16,2,11,2,16,1,10,1,9,1,13,2,9,4,8,1,9,2,8,1,9,1,10,1,9,1,11,2,9,4,8,1,11,1,16,1,10,1,9,1,11,1,10,1,11,2,16,5,11,1,17,4,16,1,17,1,16,1,17,1,16,1,11,6,9,2,11,3,17,2,9,2,11,1,17,4,16,1,17,40,11,2,10,1,11,1,16,2,17,11,10,1,11,1,8,1,9,1,13,1,6,2,30,1,28,18,13,1,30,1,29,1,13,1,29,1,30,1,28,19,30,1,28,143,13,1,7,2,28,77,30,2,6,1,30,1,28,1,30,1,28,17,30,1,28,1,30,1,6,1,28,2,29,1,7,1,30,1,29,1,7,1,6,1,8,1,13,2,7,4,13,1,8,2,11,1,13,1,11,1,10,1,8,1,6,1,28,16,30,1,28,1,30,1,28,3,30,1,29,1,13,1,7,2,6,1,8,1,13,1,6,1,30,1,6,1,7,1,30,2,29,1,28,5,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,13,1,29,1,30,1,29,1,30,1,13,1,8,1,29,1,6,1,8,2,11,1,24,1,9,1,24,1,10,1,9,1,12,1,24,1,12,1,10,1,13,1,10,3,9,1,10,1,24,1,10,1,24,1,12,1,9,2,10,1,12,2,24,1,17,1,12,2,17,5,9,1,24,1,11,2,12,2,24,1,10,1,12,3,8,1,24,1,8,1,12,2,24,2,12,1,8,1,9,1,12,1,24,1,12,2,24,1,12,1,10,1,8,1,9,1,10,1,24,1,8,2,12,2,9,1,8,1,17,1,24,1,17,5,12,2,10,1,17,1,10,2,9,1,17,1,12,1,17,1,12,2,24,1,9,1,12,1,24,3,10,2,24,1,8,1,24,1,10,1,12,1,8,1,24,1,25,1,10,1,12,1,24,3,8,1,10,1,8,1,12,2,10,1,12,3,10,1,12,1,10,2,17,2,12,1,17,17,12,1,6,2,29,1,6,1,28,49,30,1,28,1,6,1,29,1,6,1,13,2,8,1,24,1,12,1,17,1,11,1,9,1,5,20,33,1,6,2,28,18,30,1,6,1,30,1,7,1,13,3,8,1,13,1,9,2,13,6,6,1,30,1,13,1,30,1,13,1,5,44,30,1,29,2,30,1,28,7,6,1,14,3,9,1,6,1,30,2,28,4,30,1,28,1,6,1,13,1,9,1,24,1,8,1,28,6,30,1,10,1,8,1,6,2,30,1,28,29,12,1,9,1,13,1,6,1,7,1,6,1,}, {14,1,9,1,13,1,28,24,30,1,28,5,6,1,28,6,30,1,6,1,28,1,8,1,13,2,10,1,16,1,17,2,9,1,6,1,7,1,6,1,30,1,6,1,13,1,9,1,16,1,9,1,8,2,15,1,11,1,9,1,15,1,8,2,6,1,13,1,9,1,17,1,9,1,7,1,29,1,13,1,6,1,28,1,13,1,9,1,17,1,10,2,9,1,8,1,13,1,9,2,17,1,12,1,17,5,11,1,13,1,9,1,7,1,28,12,30,1,28,2,30,1,29,1,28,1,30,2,28,1,6,1,28,1,30,1,6,1,8,1,24,1,13,1,8,1,9,1,12,1,11,1,13,1,6,1,30,1,28,1,29,1,6,1,29,1,13,1,17,3,11,1,9,1,12,2,24,1,9,1,8,1,9,1,8,1,6,1,13,1,9,1,10,2,12,2,30,1,28,3,30,1,28,5,30,1,28,1,30,1,28,2,16,1,17,3,10,1,17,3,16,1,17,1,16,1,17,2,16,3,17,1,16,1,11,4,9,1,16,1,9,1,16,1,11,1,16,8,10,1,16,1,17,1,16,3,9,1,16,1,11,1,9,2,16,1,7,1,30,1,28,35,30,2,28,1,29,1,28,1,6,1,29,1,6,1,28,1,6,2,8,1,6,1,8,1,6,1,8,1,13,1,8,2,6,2,24,1,30,1,6,1,28,1,30,1,28,40,30,1,28,1,29,1,28,2,30,1,28,13,29,1,28,1,30,2,28,14,6,1,29,1,7,1,25,1,29,1,7,1,6,1,28,8,6,1,7,1,8,1,12,1,24,1,13,1,12,1,8,1,24,1,10,1,8,1,24,1,8,1,6,1,28,29,30,1,28,7,30,1,28,8,30,1,28,18,30,1,28,1,29,1,28,1,30,1,28,48,29,1,6,2,13,1,7,1,24,1,10,1,24,1,12,1,17,44,12,1,17,1,10,2,11,1,9,1,10,1,12,1,9,1,8,1,12,1,24,1,9,2,8,1,13,1,24,1,8,1,13,2,24,1,13,1,24,1,9,2,12,1,24,1,12,1,8,2,12,1,10,1,24,1,8,1,24,2,9,2,10,1,12,5,24,1,17,1,12,1,17,2,10,1,11,1,12,2,11,1,24,1,17,3,12,1,17,9,12,1,17,12,11,1,9,1,33,2,5,2,33,1,5,1,33,59,28,19,30,1,28,40,30,1,28,35,30,1,13,1,8,1,16,1,28,1,13,1,5,412,9,1,11,1,13,1,7,1,9,1,6,2,7,1,29,1,7,1,30,1,13,1,29,2,28,1,29,1,6,2,30,2,13,1,24,1,13,1,9,1,17,16,10,1,11,1,12,3,9,1,17,1,11,2,17,2,11,1,17,1,12,1,17,86,16,1,17,1,16,1,17,26,11,1,17,2,12,2,17,1,11,1,12,1,17,2,11,3,12,1,11,1,17,1,12,1,11,2,17,1,12,1,17,1,11,2,9,1,11,1,9,2,17,1,8,1,29,1,30,1,28,1,29,1,28,1,29,1,6,1,30,1,29,2,6,1,30,1,6,2,29,1,6,1,30,1,6,1,29,1,7,1,6,2,30,1,28,1,13,1,7,1,13,3,8,2,9,1,8,1,10,1,11,2,13,1,11,1,9,1,11,1,9,1,16,2,11,1,9,1,11,1,16,2,11,1,16,1,10,1,11,2,9,1,10,1,17,1,11,1,16,5,11,3,10,1,11,2,16,4,11,1,9,1,11,1,9,1,8,2,13,1,11,1,9,1,10,1,9,1,10,1,9,1,11,1,13,1,11,7,16,3,11,2,16,1,11,2,10,1,16,7,17,2,16,1,17,2,16,1,17,1,11,1,9,1,11,3,9,1,11,1,9,1,11,4,17,1,16,1,13,1,9,1,11,1,16,1,17,44,11,1,17,10,16,1,17,6,11,1,17,1,11,1,9,1,16,1,17,1,8,1,6,1,28,15,30,1,29,1,13,1,29,1,30,1,6,1,28,163,30,1,6,1,8,1,28,81,30,2,28,1,30,1,28,18,30,4,28,1,30,2,6,1,30,1,6,1,13,1,6,1,13,2,6,1,30,1,13,1,6,1,13,1,6,1,13,3,7,1,8,1,24,1,13,1,8,1,29,1,28,18,30,1,28,1,6,1,30,1,13,1,7,1,13,1,7,1,29,3,6,3,7,1,30,1,28,1,30,1,28,3,30,1,28,3,6,1,28,3,30,2,29,1,30,1,28,1,30,1,6,1,7,1,30,1,6,1,7,1,30,1,7,1,6,3,13,2,9,1,10,2,24,2,10,2,9,1,8,2,9,1,24,2,10,1,12,1,9,1,24,1,17,1,9,1,12,4,17,2,10,1,12,1,17,1,9,1,12,1,11,1,17,1,24,1,17,1,12,1,24,1,10,1,8,1,9,1,24,1,12,5,9,1,12,1,10,1,12,1,24,1,12,1,10,1,9,2,10,1,9,1,17,3,10,1,17,1,8,1,24,1,9,1,24,1,10,1,24,3,12,1,24,1,12,1,17,1,12,1,11,1,17,3,12,1,17,1,12,3,17,3,12,3,10,1,12,2,24,2,10,1,8,1,9,1,8,1,10,1,12,1,8,1,10,1,24,2,12,1,24,1,10,1,24,2,12,1,24,2,17,1,24,2,17,2,24,1,17,1,10,1,17,1,10,1,24,1,10,1,12,2,17,18,12,1,24,1,29,1,30,2,28,50,30,1,6,1,29,1,13,1,7,1,13,1,24,1,17,1,10,1,11,1,9,1,16,1,5,18,9,1,30,1,28,2,30,1,28,11,30,1,13,1,8,1,6,2,13,1,6,1,13,2,6,1,13,1,6,1,9,1,8,1,9,2,13,3,9,1,11,1,8,1,10,1,13,3,8,1,13,2,5,44,28,4,30,1,28,6,6,1,14,3,24,1,6,1,30,2,28,1,29,2,28,1,30,1,28,1,6,1,29,1,24,1,9,1,24,1,28,6,6,1,9,1,6,1,29,1,30,1,28,29,30,1,15,1,10,1,6,1,13,1,7,1,29,1,}, {10,1,11,1,8,1,28,23,30,1,28,2,30,1,29,1,28,9,30,1,28,1,30,1,7,1,13,1,9,1,16,1,9,1,17,2,16,1,13,1,6,1,13,1,29,1,7,2,10,1,14,1,8,1,13,1,9,1,8,1,16,2,9,1,10,1,13,1,7,1,13,1,9,1,17,1,8,1,7,1,13,1,6,2,29,1,6,1,24,1,11,1,8,1,10,1,9,1,13,1,8,1,13,1,9,1,17,5,16,1,11,1,16,1,12,1,8,1,13,1,28,11,30,1,28,4,30,1,28,1,30,3,29,1,28,1,30,2,29,1,7,1,9,1,8,2,9,1,12,1,6,1,29,1,6,1,30,1,29,1,28,1,6,1,8,2,17,2,11,1,10,1,17,1,10,1,9,1,24,2,13,1,8,1,13,1,10,1,8,1,9,1,12,1,15,1,8,1,28,1,30,1,28,4,30,1,28,7,30,1,13,1,17,2,16,1,17,4,16,5,11,1,16,1,11,1,16,1,11,1,9,1,11,1,9,1,16,1,11,2,16,2,9,2,11,1,16,1,11,1,9,1,16,1,9,1,11,2,9,2,11,1,9,1,10,1,11,1,9,1,11,1,16,1,9,2,13,1,28,39,29,1,6,1,29,1,30,1,7,1,29,1,13,2,6,1,7,1,13,1,29,1,8,1,6,1,13,1,7,1,24,1,7,1,6,1,29,1,28,1,29,1,28,40,30,1,28,4,30,2,28,2,30,1,28,1,30,1,28,3,29,1,28,8,30,1,28,15,30,1,25,1,8,1,6,1,13,1,30,1,28,6,29,1,7,2,24,1,12,1,24,2,10,1,24,1,10,1,24,1,8,1,7,1,6,1,28,29,30,1,28,12,29,1,28,75,30,2,13,1,6,1,24,1,8,1,24,1,17,1,10,1,12,1,17,43,12,1,17,3,11,1,9,1,12,1,17,2,10,1,12,1,17,1,12,1,9,1,24,1,10,1,12,1,24,2,17,1,12,1,24,2,10,1,24,1,10,1,13,1,24,3,12,1,9,1,24,1,17,1,12,4,10,1,12,3,9,1,12,1,24,1,17,1,12,1,17,3,12,1,17,1,9,1,12,1,11,1,12,1,10,1,12,1,17,1,11,1,17,6,12,1,17,4,16,2,17,2,16,1,11,1,16,1,9,1,13,1,6,1,30,2,5,1,33,63,13,1,28,94,30,1,28,1,30,1,28,1,13,1,8,1,9,1,13,1,28,1,5,413,11,1,10,1,13,2,7,1,13,2,7,1,13,1,7,1,6,1,29,1,28,1,30,3,29,2,30,1,6,1,9,1,13,1,10,1,12,1,10,1,17,15,11,2,12,1,10,1,12,2,11,1,12,2,17,2,10,1,12,1,17,83,16,1,17,2,16,1,17,33,12,1,17,2,12,1,17,3,11,1,17,1,12,1,17,2,12,1,17,4,12,1,11,1,9,1,11,1,9,1,11,2,7,1,30,1,29,3,30,1,28,1,30,1,29,1,30,2,29,1,6,1,28,1,29,2,6,2,7,1,30,1,6,2,29,1,7,3,6,1,8,1,13,2,8,1,13,1,9,4,11,1,9,1,16,1,11,1,9,1,11,2,17,1,16,1,11,2,16,1,10,1,16,2,11,1,13,1,9,2,10,1,11,3,16,3,17,1,16,1,11,1,16,1,9,1,11,1,9,1,16,2,11,2,16,1,9,1,11,1,13,1,8,2,13,1,9,3,11,1,9,1,11,2,9,1,10,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,16,1,10,1,11,1,16,2,11,2,16,14,9,1,11,1,16,1,11,4,16,2,11,1,17,2,11,1,9,1,13,1,9,1,16,1,17,29,16,1,17,2,16,1,17,5,16,2,17,3,16,1,17,11,16,1,17,13,11,1,13,1,30,1,28,14,13,1,7,1,30,2,28,163,30,1,13,1,6,1,30,1,28,76,30,1,28,2,30,3,28,1,30,3,28,2,30,1,28,15,30,2,29,1,30,1,28,1,30,2,29,1,28,1,29,1,30,1,6,1,13,1,6,1,7,1,6,1,13,1,7,2,24,1,7,1,13,1,8,1,13,1,8,1,24,1,9,1,10,1,8,1,29,1,28,16,30,1,28,2,29,1,28,1,13,1,29,1,6,2,7,1,6,3,29,1,13,1,6,1,30,2,28,10,29,1,30,1,28,2,30,1,29,1,6,1,30,1,6,1,30,1,7,2,6,1,29,1,6,1,29,1,6,1,13,3,8,1,13,1,9,2,24,1,10,2,24,1,12,1,10,1,17,1,12,1,9,1,10,1,12,1,24,1,12,1,10,1,17,1,12,1,9,1,17,1,12,1,9,1,12,1,17,1,12,5,24,1,10,4,17,1,9,1,17,1,12,2,10,2,17,2,12,1,9,1,17,1,12,2,17,2,10,1,17,1,10,1,17,1,12,2,9,1,10,1,12,1,24,1,12,1,10,1,24,1,10,1,12,1,10,1,12,1,10,1,17,1,24,1,17,2,12,1,9,1,12,1,17,1,12,1,17,1,10,1,12,1,17,1,12,2,9,1,12,2,10,1,12,1,17,1,12,1,10,1,24,1,8,1,9,1,24,1,10,1,24,1,17,1,24,1,12,1,8,1,12,1,8,1,24,2,10,1,24,1,12,1,10,1,24,1,12,6,24,1,10,1,24,1,10,1,12,3,10,1,17,17,12,1,24,1,30,1,29,1,28,1,30,1,28,51,6,1,7,1,13,1,8,1,24,1,13,1,8,1,11,1,8,1,16,1,5,10,33,2,13,1,28,1,6,1,28,3,30,1,28,2,30,2,29,1,6,2,13,1,6,1,13,1,7,1,6,1,13,1,7,1,13,1,7,1,8,1,13,1,8,1,13,1,8,1,7,1,13,1,8,1,13,2,8,1,13,1,9,1,8,1,6,1,8,1,9,1,13,2,9,1,13,1,7,1,6,2,13,4,5,44,28,1,30,1,28,3,30,1,28,5,13,1,14,3,9,1,8,1,28,1,30,1,29,1,28,2,30,2,28,1,6,1,13,1,9,1,24,1,8,1,28,6,13,1,10,1,29,2,30,1,28,1,30,1,28,27,6,1,14,1,9,1,8,2,6,1,30,1,}, {9,1,16,1,8,1,6,1,28,17,30,1,28,9,30,1,28,8,6,2,29,1,13,1,6,1,9,1,11,2,17,2,16,1,13,3,6,1,30,1,28,1,15,1,14,1,15,1,10,1,8,1,17,1,14,1,17,1,15,1,9,1,8,1,13,2,9,1,17,1,8,1,6,1,13,1,6,2,30,2,10,1,17,1,24,1,8,2,13,1,24,1,8,1,10,1,17,3,11,1,17,1,9,3,12,1,15,1,8,1,29,1,30,1,28,3,30,1,28,8,30,1,28,1,30,2,28,1,30,2,28,2,30,1,6,1,13,1,8,1,13,2,9,2,10,1,13,1,30,1,29,1,28,1,29,1,30,2,13,1,24,1,12,1,17,1,11,1,10,1,8,1,9,2,8,1,13,3,7,1,13,1,9,1,13,1,24,2,8,1,30,1,28,7,30,2,28,1,30,1,28,3,12,1,17,2,12,1,17,3,16,1,17,2,11,1,16,1,11,1,9,1,16,1,9,1,11,1,16,3,11,2,16,1,11,3,16,2,11,1,9,1,11,1,16,1,14,1,8,1,16,1,9,1,16,1,9,2,16,2,9,1,16,1,9,1,16,1,10,1,8,1,6,1,28,2,30,1,28,33,29,1,28,1,30,1,29,1,30,1,6,2,29,1,7,2,8,1,7,1,6,3,13,1,6,1,13,1,6,3,13,1,28,1,30,1,28,44,30,1,29,1,30,5,28,8,30,1,28,20,29,1,6,1,7,1,6,2,7,1,28,6,30,3,29,1,24,1,13,1,8,1,17,1,9,1,10,2,7,2,29,1,30,1,28,32,30,1,28,4,29,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,72,30,1,7,2,13,1,7,1,8,2,9,1,8,1,12,1,17,54,12,3,17,1,10,2,17,1,12,1,9,2,11,1,24,1,8,1,12,1,11,1,9,1,10,1,9,2,10,1,17,1,12,1,10,1,17,1,24,1,17,1,10,1,9,1,12,1,17,1,10,1,17,1,12,3,17,2,11,1,12,3,17,1,12,1,17,1,11,1,17,1,11,1,17,1,16,1,17,1,12,1,17,1,12,1,17,4,16,1,17,2,16,2,9,1,11,1,16,1,9,1,13,2,33,1,5,1,33,64,5,1,13,1,28,99,30,1,8,1,13,1,17,1,11,1,28,1,5,414,9,1,13,3,7,1,6,3,13,1,7,1,13,1,6,1,30,1,28,1,7,1,6,1,30,1,6,1,29,1,24,1,10,1,8,1,12,1,10,1,17,15,11,1,12,1,17,2,12,1,11,2,17,3,11,1,17,86,11,1,17,1,11,1,17,1,11,1,17,48,11,2,10,3,17,1,6,2,30,2,29,1,28,1,29,1,30,3,28,1,29,1,30,3,6,1,29,1,6,1,29,1,7,1,6,2,29,1,13,1,30,1,6,1,7,2,8,1,13,1,8,1,9,1,8,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,10,1,11,1,16,2,17,1,11,1,16,1,17,1,11,3,8,1,6,1,13,1,9,1,11,2,16,1,9,1,11,2,16,2,11,3,10,1,9,1,11,1,16,3,11,1,16,1,9,1,11,1,8,1,9,1,8,1,9,1,13,1,8,1,9,2,8,1,11,1,9,1,11,2,10,1,9,2,11,1,16,1,11,1,9,1,8,1,11,1,10,1,16,1,11,5,16,2,11,1,16,1,11,1,16,2,17,1,16,5,11,1,16,1,11,3,10,2,9,3,16,1,17,2,11,1,9,1,13,2,16,1,17,29,16,1,17,1,16,2,17,2,16,1,17,1,16,1,17,3,16,2,11,1,16,1,17,25,16,1,11,1,13,1,30,1,28,11,30,1,6,1,13,1,28,1,30,2,28,162,6,1,7,1,28,82,30,3,28,1,6,1,29,1,30,1,29,1,28,17,30,2,28,2,6,1,28,1,6,1,30,1,28,1,7,1,30,1,13,1,29,1,6,1,7,1,29,1,6,1,29,1,13,1,6,1,13,1,8,1,7,1,13,1,7,1,30,1,8,2,10,1,9,1,28,20,29,1,30,1,29,4,6,2,7,2,30,2,28,1,30,1,28,2,30,1,28,10,6,1,30,2,6,1,30,1,7,1,6,1,30,1,7,1,13,2,30,1,7,1,6,2,29,1,30,1,13,1,30,1,6,1,28,1,13,1,12,1,13,1,17,1,10,1,9,1,12,1,17,1,12,7,17,1,10,1,17,2,10,1,17,2,12,1,10,2,17,1,12,1,10,1,12,1,24,2,17,1,24,1,12,3,17,2,12,1,17,2,10,1,17,2,10,1,17,5,12,1,11,1,17,4,24,1,13,1,10,1,8,2,12,1,24,1,12,1,10,1,17,2,12,1,10,1,17,2,12,3,17,1,12,1,11,1,10,1,17,2,12,1,10,1,17,1,24,1,10,1,12,1,10,1,12,1,24,1,10,1,8,1,9,1,12,1,24,5,10,1,24,1,12,1,9,1,24,3,12,1,10,1,24,1,17,2,24,1,12,1,17,1,12,2,17,4,12,2,17,1,12,1,17,16,9,1,6,1,29,2,28,52,13,1,24,2,8,1,13,2,8,1,9,2,16,1,5,9,13,1,28,7,30,2,28,2,30,2,6,1,13,1,6,1,7,1,13,2,9,1,8,1,6,1,13,4,7,1,6,2,13,3,29,1,28,1,6,1,13,1,9,1,8,2,9,1,13,1,7,1,13,3,9,1,13,2,9,1,28,1,13,1,9,1,5,45,28,2,30,2,28,7,13,1,14,2,17,1,12,1,13,1,29,1,28,1,29,1,28,4,7,1,29,2,24,1,8,1,29,1,28,6,8,1,9,1,7,1,29,2,30,1,28,29,14,1,10,1,7,1,13,2,30,1,}, {9,2,8,1,30,1,28,7,30,1,28,18,30,1,28,9,30,1,28,1,7,1,8,2,13,1,12,1,17,3,16,1,13,1,30,1,6,1,29,1,6,1,28,1,10,1,14,1,8,2,13,1,8,1,10,1,16,1,9,1,24,1,8,1,6,1,7,1,12,1,17,1,9,1,13,2,29,1,7,1,6,2,13,1,9,1,24,1,13,1,8,2,6,1,13,1,8,1,12,1,17,2,11,1,12,1,9,1,10,2,12,1,9,1,13,2,6,1,30,1,28,4,29,1,28,6,30,2,29,1,28,3,30,1,28,2,29,1,30,2,13,1,10,1,8,1,13,1,10,2,6,2,28,1,29,1,28,1,30,1,6,1,8,1,24,1,9,1,17,1,9,1,11,1,16,1,9,1,13,1,8,1,7,1,13,2,6,1,13,1,24,1,13,1,24,1,9,1,8,1,30,1,28,1,30,2,28,2,30,1,28,3,29,1,30,1,28,3,9,1,17,2,11,1,16,1,17,1,16,2,17,1,16,1,11,1,16,4,11,1,17,1,16,2,9,1,17,1,11,1,16,2,11,1,9,1,16,1,11,1,16,3,9,4,11,2,16,1,9,1,16,1,13,1,11,1,9,2,16,1,9,2,13,1,30,2,29,1,28,27,30,1,28,2,30,1,28,1,29,1,30,1,28,1,6,2,7,1,6,1,29,1,6,3,7,1,6,1,29,1,8,1,7,1,13,3,7,1,6,1,28,1,30,1,29,1,28,1,29,1,28,31,6,1,30,1,28,4,30,1,28,4,29,1,28,1,30,2,28,1,30,4,29,1,28,6,30,1,28,5,30,1,28,14,29,1,28,1,6,1,7,1,30,1,13,1,29,1,28,5,30,1,29,1,7,1,6,1,7,1,8,1,24,1,9,2,24,1,8,1,6,3,28,37,29,1,28,3,29,1,28,6,30,1,28,68,6,1,13,3,8,2,13,1,8,1,9,1,17,1,9,1,17,51,10,1,17,5,12,2,17,2,12,1,17,1,24,1,17,3,24,1,17,1,10,2,17,1,12,2,17,1,10,1,12,3,17,1,12,1,17,1,12,1,17,5,12,1,9,1,17,10,16,1,17,1,11,1,17,2,11,1,16,1,17,2,16,2,9,1,11,1,9,2,5,4,33,68,5,1,30,1,28,98,30,1,28,2,24,1,6,1,9,3,28,1,5,413,11,1,13,1,8,1,13,2,6,1,7,1,6,2,7,1,13,1,28,1,6,1,28,1,6,1,7,1,30,1,6,1,29,1,7,1,24,1,9,1,10,1,17,1,12,2,17,6,12,1,17,6,11,1,12,2,11,1,12,2,10,1,11,2,9,1,17,1,11,1,17,1,10,1,17,83,12,1,16,1,17,2,11,1,17,38,12,1,11,1,17,2,12,1,17,3,12,2,11,1,12,1,10,1,9,1,12,1,13,1,28,1,29,1,30,2,28,1,29,1,30,1,6,1,29,1,6,1,30,1,29,2,28,1,6,1,29,2,7,1,28,1,7,1,6,2,30,1,13,1,6,1,13,5,9,3,13,1,9,2,11,4,9,2,11,1,16,2,17,1,9,1,17,1,16,3,11,1,9,1,13,2,9,2,11,1,16,1,9,1,11,2,16,1,9,1,16,2,9,1,11,3,16,1,11,2,16,1,9,1,11,1,8,2,13,3,8,1,10,1,13,1,9,3,10,2,9,1,10,1,9,1,10,3,9,3,17,1,11,4,9,1,10,1,9,1,11,1,9,1,11,1,16,8,17,1,11,1,16,2,11,2,10,1,11,1,9,1,16,2,11,1,16,1,17,2,9,2,13,1,9,2,17,14,16,1,17,12,16,7,11,1,10,1,17,37,11,1,30,1,28,11,13,1,30,1,28,1,30,1,28,161,6,1,7,1,13,1,28,82,30,1,28,2,6,1,28,4,30,1,28,1,6,1,28,18,30,1,28,2,6,1,30,1,29,1,30,1,8,1,30,1,6,1,7,1,29,1,13,1,7,1,6,2,7,1,13,1,7,1,13,1,6,1,13,1,8,1,7,1,24,1,8,1,24,1,8,1,13,1,28,17,30,1,28,1,7,1,30,1,6,4,29,1,13,2,6,1,30,1,28,2,30,3,28,3,30,1,28,1,30,3,6,1,28,1,30,1,28,2,29,1,28,1,30,1,6,3,29,1,6,1,7,1,6,2,7,2,28,1,30,1,28,3,30,2,29,1,28,1,30,1,13,1,29,1,6,1,9,1,17,1,12,1,17,1,12,1,17,1,12,1,17,5,12,1,17,1,12,1,17,1,12,1,10,1,24,1,10,1,9,1,10,1,17,1,12,1,24,1,17,6,12,1,17,4,12,1,17,1,12,1,17,1,12,1,17,4,12,3,10,1,12,1,24,2,9,1,12,1,17,1,12,1,11,1,12,2,10,1,9,1,12,1,17,3,12,1,17,1,12,1,11,1,12,1,17,1,11,1,17,1,9,1,17,1,10,1,17,1,24,1,10,2,12,2,24,3,12,3,9,1,12,2,8,1,9,1,12,1,24,1,12,1,17,2,12,1,17,1,10,2,17,1,12,1,10,1,12,1,17,2,12,1,17,2,12,3,17,1,10,1,17,15,11,1,6,1,28,1,30,1,28,50,30,1,8,1,13,1,7,1,13,1,8,1,13,1,24,1,8,1,9,2,16,1,9,1,13,3,9,1,13,1,30,1,28,3,6,2,28,1,6,1,30,1,28,1,6,1,7,1,30,1,7,1,13,1,6,1,7,1,8,1,6,1,13,1,6,1,13,1,9,1,13,1,7,1,13,3,6,1,7,1,6,1,30,3,7,2,29,1,6,3,9,1,13,2,8,1,13,1,9,1,13,2,9,1,12,1,10,1,13,3,9,1,5,46,30,1,28,10,9,1,14,1,16,1,14,1,16,1,6,1,29,1,28,1,30,1,28,4,29,1,13,4,7,1,28,6,7,1,10,1,6,1,30,1,28,1,30,1,28,28,6,1,15,1,10,1,8,2,6,2,}, {8,1,17,1,13,1,6,1,30,2,28,19,30,1,28,16,30,1,13,1,9,3,17,4,13,2,30,1,28,3,8,1,14,1,9,1,29,1,9,1,12,1,14,1,15,1,13,3,7,1,9,1,12,1,16,1,9,1,13,1,8,1,13,2,6,1,29,1,9,1,8,1,24,1,9,1,8,1,13,1,6,1,13,1,11,2,17,4,11,1,9,1,13,2,12,1,8,1,6,1,30,1,28,4,30,1,28,7,30,1,28,1,30,1,28,3,30,1,28,1,30,1,6,2,13,1,8,2,9,1,8,1,12,2,8,1,6,1,28,3,29,1,7,1,13,1,12,1,9,1,8,1,9,2,8,1,13,1,24,2,13,1,6,1,13,1,6,1,13,1,24,1,12,1,17,1,9,1,8,1,6,1,28,5,30,1,28,1,30,1,28,1,30,1,28,4,10,1,17,2,16,1,17,1,11,2,16,4,17,1,16,1,11,1,9,1,16,1,11,1,16,4,11,1,16,3,9,1,16,1,11,4,16,2,11,4,9,1,11,2,9,1,16,1,9,2,16,1,9,1,13,1,6,1,30,1,28,1,30,1,28,26,30,2,28,1,6,1,28,1,29,1,6,2,29,1,28,1,29,1,6,3,7,1,29,1,6,1,30,1,7,1,6,1,29,1,30,1,6,2,29,1,6,1,13,1,28,1,6,1,28,44,30,1,28,7,30,1,28,1,29,1,28,4,29,2,28,1,30,1,28,1,30,1,28,13,30,2,28,2,6,2,29,1,6,1,7,1,6,1,29,1,30,1,28,4,30,1,6,1,30,1,29,1,6,1,8,1,24,1,12,1,10,1,8,1,6,1,8,1,29,1,28,29,30,1,28,9,30,1,29,1,28,3,30,2,28,69,29,1,28,1,30,1,6,1,7,1,6,1,8,1,7,1,8,1,9,1,12,1,9,1,12,1,11,1,17,53,12,2,17,2,12,1,17,2,11,1,17,1,12,1,17,2,11,1,12,3,9,1,12,1,9,1,17,1,10,1,17,3,12,1,17,1,12,1,17,2,12,1,17,9,16,1,17,4,12,1,17,2,12,1,16,1,17,1,16,4,9,1,5,1,33,3,5,2,33,73,30,1,28,100,6,1,30,1,6,1,24,1,9,1,13,1,17,1,30,1,5,414,13,1,9,1,13,3,29,1,7,1,6,2,13,1,30,2,28,1,7,1,6,1,29,1,30,1,28,1,7,1,24,1,8,1,10,1,12,1,11,1,17,1,12,2,17,11,12,1,11,2,12,1,11,1,12,2,10,1,17,1,11,1,17,4,12,1,17,86,11,1,17,31,12,1,17,4,12,1,11,1,17,3,12,1,11,1,12,1,17,1,12,1,9,3,8,2,10,1,8,1,29,2,30,2,28,1,29,1,30,1,29,1,28,2,30,1,29,1,28,1,6,1,30,1,29,1,28,1,30,1,13,1,6,6,13,2,6,1,8,1,9,1,8,1,9,1,8,1,9,3,12,1,10,2,16,1,11,3,16,3,17,4,11,1,9,1,16,1,10,1,13,1,7,1,9,1,10,1,9,1,16,3,11,1,16,1,11,2,16,1,9,1,10,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,11,2,9,1,13,1,8,1,13,2,9,2,13,1,9,3,11,1,9,2,16,1,9,2,11,1,9,1,10,1,16,1,9,3,16,1,9,4,11,1,10,1,16,2,17,1,16,2,17,1,16,2,17,1,16,5,17,1,9,1,11,4,16,1,17,3,16,1,11,1,9,2,11,1,16,2,9,1,16,1,17,8,16,3,17,10,16,2,17,2,16,1,17,1,16,1,17,43,9,1,6,1,28,9,6,1,28,1,30,1,28,12,30,1,28,6,30,1,28,1,30,1,28,138,29,1,7,1,6,1,13,1,28,86,6,1,28,1,30,1,28,2,30,3,28,16,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,1,6,1,7,1,29,1,6,2,13,1,7,1,30,1,13,1,29,1,13,1,29,1,13,2,8,1,13,3,7,1,8,1,13,1,28,16,30,1,28,2,30,2,29,2,7,1,29,1,6,1,29,1,13,2,28,1,29,1,13,1,28,1,29,1,28,1,6,1,30,2,6,1,28,2,29,1,7,1,28,1,30,1,28,1,7,1,6,2,13,1,6,2,7,1,24,1,13,1,6,1,13,1,6,2,30,1,29,1,30,4,28,2,30,1,28,4,6,1,28,1,30,1,28,1,13,1,29,1,13,1,9,1,17,1,12,1,10,1,12,1,17,2,10,1,17,1,11,1,12,1,10,1,12,1,9,1,10,1,17,1,12,1,10,1,17,1,13,1,12,1,17,1,24,1,17,1,10,1,17,2,12,2,17,2,12,1,17,8,12,1,10,1,12,1,8,2,10,1,24,1,17,1,12,1,17,4,12,1,10,1,12,1,17,5,12,1,17,2,12,1,11,1,17,3,12,1,17,1,12,1,17,1,24,1,12,1,10,1,9,1,12,1,24,1,12,1,24,6,12,1,24,1,17,1,10,1,24,1,12,2,24,1,17,1,10,1,12,1,17,1,12,1,17,2,12,3,24,1,12,2,17,1,12,2,17,15,11,1,7,1,29,1,30,1,6,1,28,49,6,1,24,1,7,1,8,2,7,1,13,1,6,1,13,1,8,1,9,1,11,1,8,1,13,7,28,1,13,1,6,1,13,2,7,1,9,1,13,1,7,1,6,1,13,3,6,1,7,1,13,1,6,1,7,2,13,1,6,1,13,1,7,1,29,1,7,1,29,1,6,2,30,1,13,1,30,1,6,1,30,3,6,1,13,2,29,1,9,1,6,2,13,2,8,2,13,1,8,2,7,1,8,1,10,1,11,1,5,46,30,2,28,1,30,1,28,7,8,1,14,3,15,1,6,1,29,1,30,2,28,5,6,1,13,1,6,1,13,1,6,1,28,6,29,1,14,1,6,1,28,1,30,2,29,1,28,27,6,1,12,2,13,1,8,1,7,1,13,1,}, {8,1,14,1,9,1,30,1,28,25,29,1,30,1,28,9,30,3,8,1,9,2,11,1,17,4,8,1,13,1,30,3,29,1,24,1,14,1,9,1,13,2,15,1,14,1,15,1,10,1,9,1,8,1,13,2,10,1,12,1,16,1,8,2,13,2,8,1,30,1,8,1,17,1,12,1,13,1,8,2,13,2,10,1,12,1,16,1,17,2,16,1,11,1,24,2,8,1,9,1,13,1,30,1,28,4,29,1,30,1,28,3,29,1,28,3,30,4,28,1,30,1,28,2,30,1,13,1,7,2,13,1,8,2,24,1,17,1,9,1,7,1,6,1,29,2,30,1,29,1,6,2,17,3,11,1,9,1,24,1,6,1,24,1,8,1,13,1,6,2,13,1,6,1,8,1,24,1,17,1,12,1,24,1,6,1,28,4,30,1,28,6,30,1,28,2,13,1,12,1,17,3,16,2,17,1,16,5,11,1,16,2,11,1,16,2,11,1,16,1,9,1,11,1,9,1,16,1,11,1,16,3,11,1,16,2,9,1,8,1,11,1,13,1,16,1,11,1,16,2,9,4,13,1,10,1,9,1,6,1,30,1,29,1,28,22,29,1,28,3,30,3,28,1,30,1,28,1,29,1,28,1,29,1,7,2,29,3,7,1,6,2,13,1,6,2,29,3,7,1,13,1,7,1,30,1,28,2,30,1,28,34,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,3,30,1,6,1,28,1,30,1,28,2,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,12,29,1,28,5,7,2,6,2,8,1,6,3,28,4,30,1,29,1,30,1,6,2,8,2,6,1,8,1,13,3,28,33,30,1,28,13,30,1,28,68,30,2,7,1,6,1,8,1,13,1,7,1,9,1,13,1,24,1,10,1,17,70,11,1,17,1,11,1,17,11,11,1,17,1,10,1,17,7,16,1,17,6,16,1,11,1,16,1,17,1,16,1,5,6,33,75,5,1,30,1,28,25,30,1,28,76,30,1,6,1,13,1,24,1,8,1,9,1,11,1,28,1,5,414,13,3,24,1,13,1,7,1,6,1,13,1,29,1,30,1,6,1,29,1,6,1,30,2,7,1,29,1,6,2,13,1,10,1,9,1,12,1,11,1,17,1,12,1,17,14,12,2,17,1,11,1,10,2,11,1,17,112,12,1,17,10,12,1,17,3,12,1,17,9,12,1,24,1,11,1,12,1,9,1,8,1,24,1,11,1,29,1,28,2,6,1,29,1,28,1,30,1,28,3,30,3,6,1,30,1,7,1,6,4,8,1,13,2,7,1,13,1,30,1,13,2,7,2,8,1,9,1,8,1,9,2,17,1,11,1,9,1,11,1,10,1,11,3,16,1,11,1,17,1,11,1,17,2,16,1,17,1,11,3,9,2,13,1,11,1,8,1,9,1,16,2,11,2,16,1,11,1,9,1,16,1,9,1,11,1,9,1,11,2,16,1,11,1,10,1,11,1,9,1,13,2,8,1,9,1,13,1,8,2,9,2,10,1,9,1,11,1,9,4,10,1,11,1,9,1,11,1,13,1,9,1,11,3,9,1,10,1,11,1,9,1,11,1,10,2,9,1,16,1,11,1,16,2,17,1,16,2,17,1,16,2,17,1,16,4,11,1,16,1,11,3,17,3,16,1,13,2,9,1,16,1,17,1,16,2,17,22,16,1,17,1,11,1,16,6,17,3,16,1,17,39,13,1,28,8,6,1,28,12,30,1,6,2,28,4,30,1,28,143,6,1,8,1,6,1,28,83,30,3,6,3,30,1,6,1,30,1,29,1,6,1,29,1,28,18,6,1,28,3,6,1,30,2,6,1,29,1,6,3,29,1,30,1,28,1,6,2,29,1,6,1,7,1,6,1,7,1,13,1,7,1,8,2,13,2,7,1,24,1,13,1,28,19,30,1,28,1,6,1,29,2,6,3,7,2,13,1,29,1,30,1,7,1,30,1,6,1,28,1,30,2,7,1,6,1,28,1,30,3,6,1,29,1,7,1,13,1,6,1,13,1,28,1,6,1,13,1,29,1,13,1,29,1,13,1,30,1,13,1,6,1,29,1,28,3,30,2,28,1,30,1,28,4,30,1,28,4,7,1,28,1,7,1,13,2,9,1,8,1,10,1,8,1,9,1,12,3,10,1,12,1,9,2,8,1,17,1,24,1,9,1,24,1,12,1,10,1,12,2,10,3,8,1,10,1,12,1,10,2,17,5,10,2,12,1,17,1,24,1,10,1,9,1,8,1,11,1,17,2,12,1,17,2,9,1,17,1,12,1,17,11,12,1,17,1,12,1,17,2,10,1,17,2,12,3,24,1,10,1,24,1,10,1,24,1,12,1,10,1,24,1,17,1,24,2,10,1,12,1,17,1,24,1,10,1,12,2,17,1,12,5,24,1,17,1,12,1,17,1,12,1,17,2,9,1,17,16,7,1,30,3,28,47,30,1,13,1,8,1,24,2,7,1,6,1,28,1,6,1,13,1,8,1,9,1,13,1,9,2,8,1,13,2,9,1,13,3,8,1,9,1,7,1,13,2,6,1,7,2,30,1,7,1,13,1,6,2,30,1,6,1,30,1,6,2,8,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,30,1,7,1,13,1,30,1,6,1,7,1,13,1,6,3,7,1,6,1,30,1,7,2,29,1,13,2,6,1,13,1,7,2,8,1,6,1,9,2,11,1,5,46,28,2,30,1,28,8,13,1,14,2,17,1,8,1,13,1,29,1,28,1,29,1,28,4,6,1,30,1,6,2,24,1,13,1,28,5,30,1,8,1,14,1,7,1,28,2,6,1,28,28,30,1,15,1,10,1,8,2,13,2,}, {9,1,14,1,6,1,13,1,28,14,30,1,28,12,30,1,28,8,30,2,28,1,13,1,9,1,13,1,24,1,17,4,8,1,13,1,7,1,28,2,30,1,9,1,16,1,14,1,15,1,9,2,16,1,14,1,15,1,10,1,8,1,6,1,13,1,17,2,11,1,13,2,7,2,13,1,8,2,10,1,12,1,8,1,13,2,6,1,24,1,9,1,10,1,16,1,17,1,9,1,17,1,9,1,8,1,9,1,6,1,9,1,6,1,29,1,28,3,30,1,28,1,30,1,28,4,30,1,28,1,29,1,30,1,13,1,30,1,28,3,30,1,28,1,30,1,13,1,7,1,6,1,13,1,9,1,7,1,10,1,17,1,9,1,6,3,29,1,30,1,28,1,6,1,13,1,12,1,17,3,8,1,16,1,6,1,24,1,7,1,8,1,7,2,13,1,8,1,7,1,12,1,24,1,17,1,13,1,28,3,30,1,28,5,30,1,28,1,30,1,28,3,13,1,17,1,11,1,16,2,11,1,16,2,11,1,16,8,11,2,9,2,16,2,9,1,16,2,9,1,16,1,11,1,10,1,16,1,11,3,9,1,11,2,9,1,16,1,8,1,9,2,16,1,11,1,9,2,11,1,29,1,30,1,29,1,28,25,30,1,6,1,30,1,6,1,29,1,28,1,30,1,6,1,30,1,6,2,29,1,7,1,6,1,7,1,6,4,29,1,6,1,29,1,6,3,29,1,30,1,29,2,28,38,30,1,28,4,30,1,28,10,30,1,28,2,30,1,28,10,30,1,28,1,30,1,28,3,30,1,28,8,29,1,28,1,6,1,8,2,30,1,6,1,29,1,28,4,30,1,28,1,6,1,29,1,6,1,29,1,6,1,7,1,29,2,6,1,28,36,30,1,28,1,30,2,28,8,30,1,28,67,30,2,29,1,13,2,7,2,13,1,8,1,9,1,8,1,12,1,10,1,17,1,16,1,17,97,16,3,5,3,33,1,5,1,33,78,5,1,33,1,30,1,28,8,30,1,28,10,29,1,28,6,30,1,28,77,6,1,8,2,13,1,24,1,16,1,6,1,5,415,13,1,8,2,13,1,6,1,7,1,6,1,13,1,30,2,28,2,29,2,28,1,6,1,7,1,13,2,9,2,11,1,12,1,17,18,10,2,17,1,10,1,11,1,12,1,17,113,12,1,17,22,9,1,10,2,13,2,8,1,24,1,8,1,28,1,29,1,28,2,29,1,28,1,30,1,29,1,28,1,30,2,29,1,30,1,6,1,29,1,6,1,30,1,29,1,7,1,6,1,29,1,6,1,7,1,6,1,8,1,6,1,13,2,7,1,13,2,10,1,9,1,11,1,9,1,8,1,11,2,10,1,11,1,10,1,11,1,9,1,11,1,16,1,11,1,16,1,11,2,17,1,11,1,9,1,16,1,11,2,16,1,8,1,9,1,11,1,9,2,17,1,16,2,11,2,9,1,16,1,11,1,9,2,11,2,9,1,11,1,9,2,13,1,9,1,10,1,8,1,9,1,8,3,9,1,8,1,9,2,12,2,16,1,9,3,11,1,9,1,11,2,8,1,11,2,10,1,16,1,9,1,11,1,9,2,11,3,16,2,11,1,16,11,11,1,16,1,17,1,16,1,17,1,11,1,17,3,16,2,9,2,16,2,17,1,16,1,17,18,11,1,17,2,16,1,11,2,10,1,11,1,16,3,11,1,16,1,17,4,16,2,17,20,16,1,17,17,9,1,28,2,6,1,28,15,29,1,6,1,28,1,30,1,28,3,6,1,28,1,30,1,6,1,29,1,28,140,6,1,13,1,7,1,28,83,6,1,28,1,6,1,29,1,30,1,28,1,30,2,6,1,30,1,6,2,29,2,30,1,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,6,29,1,28,4,6,1,30,1,28,1,30,1,28,2,29,2,28,1,13,1,28,1,29,1,30,1,13,1,6,2,29,1,7,1,13,5,29,1,8,1,13,1,8,2,29,1,28,14,30,1,28,2,30,1,6,1,30,1,13,1,28,1,7,1,30,2,28,1,6,3,30,1,7,1,6,1,7,1,6,2,29,1,7,3,6,1,30,1,6,1,7,1,6,1,29,2,13,1,7,1,6,1,7,1,6,1,30,1,6,3,7,1,13,1,29,1,28,1,30,1,28,5,6,1,30,1,28,1,6,1,28,1,6,1,28,1,6,2,28,1,29,3,28,1,6,1,7,1,6,2,7,1,13,1,6,1,24,1,12,3,10,3,9,1,10,2,9,2,11,1,9,1,24,1,10,1,24,1,12,2,17,1,10,1,17,1,10,2,12,1,10,1,17,1,12,4,10,1,9,1,12,2,17,1,12,1,17,1,12,1,17,3,12,1,17,11,11,1,12,1,10,1,17,2,12,1,17,2,10,1,12,1,10,1,12,4,10,1,9,1,8,1,17,1,12,1,24,1,9,1,8,1,12,2,24,1,12,1,24,1,12,1,10,1,17,1,9,1,10,1,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,6,24,1,29,2,30,1,28,44,30,1,28,2,13,1,12,1,9,1,6,2,30,1,11,1,8,1,9,1,8,1,13,1,9,1,13,2,9,1,13,1,8,1,13,2,8,1,13,1,8,2,30,1,6,1,13,1,6,2,7,1,30,1,13,1,30,2,7,1,6,1,13,1,6,1,7,2,6,1,7,1,13,1,8,1,13,2,6,1,13,2,8,1,13,5,8,1,13,2,8,1,13,3,7,1,13,2,8,1,13,1,8,2,13,1,9,1,13,4,5,47,28,1,30,1,28,9,6,1,14,1,17,1,15,1,9,1,8,1,28,8,6,3,8,1,13,1,28,6,7,1,9,1,29,1,28,1,6,1,30,1,28,28,29,1,9,1,10,1,8,1,13,1,6,1,30,1,}, {9,3,6,1,28,25,30,1,28,10,7,1,28,1,6,1,13,2,10,1,8,1,17,1,11,1,17,1,14,1,13,1,29,1,6,1,29,1,28,1,29,1,8,1,17,1,10,1,8,1,9,1,12,1,17,1,14,1,15,1,11,1,24,1,13,1,7,1,9,1,17,1,16,1,8,1,13,2,7,1,8,1,6,1,8,1,24,1,9,1,13,1,8,1,7,1,6,1,8,1,9,2,17,3,16,1,9,1,7,1,13,1,9,1,10,1,13,1,28,9,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,6,6,3,30,1,13,1,24,1,8,1,9,1,17,2,30,4,28,1,29,1,28,1,6,1,10,1,17,4,9,1,8,1,13,4,6,1,13,4,24,1,17,1,8,1,30,1,28,14,13,1,17,2,16,3,11,2,16,6,11,3,9,2,16,2,9,1,8,1,16,1,9,2,16,1,9,2,11,2,9,1,16,1,9,1,11,1,9,1,16,1,8,1,11,1,9,2,11,1,9,2,11,1,16,1,9,1,13,1,30,2,28,22,29,1,28,1,29,1,6,1,29,1,30,3,7,1,6,1,28,1,29,1,6,2,7,1,30,1,28,1,29,1,13,1,6,1,29,1,13,1,7,1,6,3,29,1,7,1,30,1,6,1,29,1,28,53,29,1,28,9,30,1,29,1,28,12,30,1,28,8,29,1,28,1,7,1,30,1,13,2,7,1,30,1,29,1,28,2,30,5,28,1,29,1,28,1,6,1,29,1,28,36,6,1,28,1,30,1,28,14,30,1,28,15,30,1,28,44,30,1,28,1,6,1,28,1,6,1,7,2,13,4,9,1,24,1,9,1,17,1,16,1,17,97,16,2,5,1,33,1,5,1,33,83,30,1,28,23,30,1,28,79,29,1,28,1,30,1,13,1,8,1,7,1,24,1,16,1,9,1,5,415,13,2,8,1,13,1,9,1,6,1,13,1,6,2,29,1,30,2,6,1,28,1,30,1,29,1,13,1,30,1,7,1,13,1,11,1,10,1,17,1,11,1,17,15,12,2,17,4,9,1,11,1,17,86,12,1,17,23,12,1,17,1,12,3,10,1,12,1,17,13,12,1,17,3,12,2,8,1,9,1,7,2,29,1,10,1,8,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,30,1,29,1,30,3,7,1,29,1,6,2,7,1,13,1,7,1,13,1,6,1,7,2,29,1,13,1,8,1,13,1,10,1,9,2,8,1,9,3,10,1,9,1,16,1,11,5,16,1,11,1,17,3,11,2,10,1,11,3,9,1,13,1,11,2,9,1,17,1,10,1,16,1,9,1,11,4,9,2,11,1,16,1,11,1,16,1,11,2,9,5,13,1,8,2,10,1,8,1,9,1,11,1,10,1,9,1,11,1,9,5,16,1,9,1,11,1,9,2,11,1,10,2,9,2,10,1,9,1,10,1,11,1,10,1,16,1,10,1,11,1,16,6,11,1,16,1,17,1,11,1,16,1,11,1,16,1,11,2,17,1,16,1,17,3,11,1,9,1,13,1,9,2,16,1,17,1,16,1,17,8,11,1,17,5,11,2,10,1,9,1,11,1,17,10,11,1,16,4,17,32,11,1,17,10,16,1,9,1,13,2,30,1,28,11,6,2,30,1,28,1,30,1,28,1,30,2,28,2,6,1,30,2,28,140,13,1,6,1,28,87,30,1,7,1,30,1,28,1,30,1,29,1,30,2,29,1,30,1,6,1,28,1,7,2,30,1,29,1,28,2,30,1,28,4,30,1,28,1,6,1,28,1,6,1,30,2,6,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,29,1,6,1,29,1,28,1,6,1,29,1,6,2,29,1,6,4,8,1,13,1,8,1,13,5,8,1,9,2,28,19,7,1,6,1,30,1,28,1,6,1,28,1,13,1,6,1,30,1,7,1,30,1,13,1,6,1,7,2,6,1,7,2,29,1,7,1,13,1,30,1,6,2,7,1,13,1,6,3,30,1,29,1,6,1,7,1,6,1,7,1,6,2,8,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,29,1,28,2,30,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,6,2,7,1,8,1,10,1,11,1,9,1,12,1,24,1,8,1,12,1,9,1,8,1,10,2,24,2,10,1,12,2,24,1,10,1,12,3,17,1,12,1,17,1,24,1,12,1,17,1,12,1,9,1,17,1,9,1,12,1,17,1,12,1,17,5,12,1,17,13,12,1,17,4,12,1,17,1,9,1,12,2,24,1,12,1,9,1,24,1,9,1,12,1,10,2,24,1,12,2,9,1,17,1,24,1,17,1,12,1,10,2,24,1,17,1,12,1,17,1,10,2,17,2,12,1,10,2,17,1,12,2,17,1,12,1,17,3,11,1,9,1,17,2,12,2,17,1,11,1,17,1,12,1,17,1,12,1,11,1,29,1,30,2,28,1,30,1,28,41,30,2,13,1,10,1,8,1,9,2,24,2,13,1,9,1,17,1,9,1,24,1,17,1,8,1,11,1,8,1,13,2,8,1,13,2,6,1,13,2,6,1,13,3,8,1,6,1,7,1,9,1,7,1,13,1,8,2,13,1,7,1,13,2,7,1,13,1,7,1,13,5,9,1,8,1,13,2,11,1,10,1,9,1,13,1,9,2,11,1,9,2,8,1,9,3,8,1,13,1,7,1,9,2,13,1,9,1,13,1,9,2,8,1,5,47,28,11,7,1,16,1,14,1,17,1,24,1,7,1,29,1,30,1,28,1,30,1,28,2,30,1,6,1,13,1,7,1,24,1,9,1,6,1,28,6,24,1,10,1,6,1,28,2,6,2,28,27,6,1,10,1,9,2,6,3,}, {6,1,15,1,13,1,29,1,28,16,29,1,28,1,30,1,28,1,30,1,28,3,30,1,28,12,30,1,29,1,6,1,13,1,8,1,10,1,17,3,14,1,9,1,6,1,28,1,30,1,6,1,29,1,8,1,14,1,11,1,9,2,10,1,16,1,12,1,11,1,9,1,12,1,6,1,8,1,10,1,17,1,11,1,8,1,13,2,8,1,13,1,8,1,9,3,8,1,13,2,6,1,24,1,13,1,12,1,10,1,17,2,12,1,24,1,13,1,29,1,13,2,6,1,13,1,30,1,28,2,30,2,28,9,29,1,30,2,28,5,30,1,7,1,29,1,6,1,7,1,8,1,9,1,17,1,10,1,8,1,7,1,29,1,28,2,30,1,7,1,6,1,8,1,17,3,16,1,12,1,24,1,13,1,8,1,13,2,7,1,8,1,7,1,13,1,24,1,12,1,17,1,9,1,6,1,28,6,30,1,28,1,30,1,28,5,9,2,16,1,10,1,16,2,11,1,16,3,11,1,16,1,11,2,16,3,9,1,16,1,9,1,11,1,8,1,11,1,16,1,9,1,11,1,16,1,11,1,14,1,9,1,11,1,9,1,16,1,11,1,16,1,13,1,9,1,11,1,9,7,16,1,10,1,28,1,30,1,28,23,6,1,28,1,30,2,29,1,6,1,29,2,30,2,29,2,6,1,29,1,28,1,7,1,6,4,7,1,6,1,28,1,6,1,30,1,29,1,6,1,30,2,6,1,28,60,30,1,28,1,29,1,28,11,30,1,28,9,30,1,28,2,30,1,29,2,6,1,29,1,7,1,6,2,29,3,30,1,28,3,30,1,28,2,29,1,28,38,29,1,28,5,30,1,28,1,30,1,28,5,30,1,28,14,30,1,28,1,29,1,28,2,30,1,28,45,30,1,6,1,8,1,29,1,7,1,8,1,9,2,11,1,24,1,12,1,17,47,16,1,17,49,11,2,13,1,5,3,33,83,13,1,28,19,30,1,28,9,30,1,28,75,30,1,29,1,6,1,28,1,8,3,9,1,16,1,5,415,9,2,8,3,13,1,7,1,29,1,30,1,6,1,7,1,30,3,7,1,29,1,30,1,29,1,6,1,7,1,24,2,11,1,12,1,17,16,12,1,10,1,17,2,11,2,17,116,11,1,12,1,17,15,12,2,10,1,9,1,24,1,8,1,13,1,7,1,28,1,24,1,6,1,28,1,30,2,29,1,28,1,30,2,28,1,29,1,28,2,30,1,28,1,6,2,29,2,6,3,7,1,6,1,13,1,7,1,29,1,6,1,13,1,6,2,8,1,10,1,8,1,13,1,9,3,11,3,9,1,10,1,16,1,11,1,16,1,11,2,16,1,17,1,11,2,10,1,16,1,11,1,9,2,11,2,9,1,11,2,16,1,11,1,16,1,11,3,16,1,11,1,16,1,11,1,9,2,11,1,9,1,11,1,16,1,11,2,8,1,13,1,8,1,9,1,13,1,11,1,13,1,9,2,13,1,9,1,11,1,8,1,10,1,9,1,11,2,9,1,11,3,9,1,16,1,9,2,11,1,16,1,9,2,11,6,9,1,10,1,11,1,16,5,11,1,16,1,11,1,16,2,11,1,16,1,11,2,16,2,17,3,11,2,13,2,16,2,17,9,16,1,17,5,11,1,10,3,17,4,11,1,17,5,16,1,17,1,11,1,17,1,16,1,11,1,16,2,17,10,11,1,17,7,11,1,16,1,17,10,16,1,17,2,11,1,16,1,17,2,16,1,17,4,16,1,11,1,13,1,6,2,30,1,7,1,28,9,6,1,28,1,30,2,6,1,28,8,30,1,28,138,6,1,13,1,28,93,30,1,28,1,30,1,6,3,29,1,30,1,7,2,30,1,6,1,29,1,30,3,28,1,29,1,28,1,30,1,29,1,30,1,6,1,30,3,6,1,30,1,7,1,30,1,29,1,28,1,30,1,28,2,30,3,6,1,28,1,29,1,30,1,6,1,29,1,7,2,6,3,13,1,6,1,30,1,7,1,6,1,8,2,10,1,9,1,13,1,28,16,30,1,6,1,28,1,6,1,30,1,29,1,6,1,13,1,29,1,6,2,30,1,29,2,7,1,30,1,6,3,30,1,6,3,13,1,6,4,7,1,6,3,29,1,7,1,30,1,6,3,7,1,6,2,29,1,28,4,30,3,29,1,28,1,30,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,6,2,30,1,28,3,30,1,28,1,7,2,8,1,9,3,24,1,13,1,9,1,12,1,11,1,17,1,8,1,10,1,12,1,24,1,17,1,12,1,24,1,10,1,8,1,9,1,17,1,12,4,10,1,9,1,12,1,24,1,10,1,12,2,17,2,12,1,17,17,11,1,17,1,10,1,17,2,12,1,17,3,10,1,17,2,10,2,12,1,10,1,12,1,17,1,12,1,17,1,12,1,10,1,8,1,12,1,10,1,12,4,24,1,10,2,17,2,9,1,17,1,12,1,17,1,9,1,17,1,12,1,17,1,12,1,10,1,12,2,17,1,11,1,9,1,10,1,12,1,11,1,24,1,10,1,12,1,17,1,11,1,10,1,12,1,17,1,12,1,29,2,30,3,28,36,30,2,29,1,13,2,9,1,10,1,9,2,24,1,9,1,8,1,24,1,12,1,24,1,9,1,13,3,10,1,8,4,13,3,30,1,13,2,9,1,13,1,10,1,11,2,9,1,11,1,9,2,8,1,9,1,11,1,9,1,29,1,8,1,13,1,8,1,6,1,8,2,13,2,9,3,10,1,9,1,11,1,8,1,9,1,13,2,12,1,9,3,11,1,8,1,9,3,8,1,9,4,6,1,10,1,9,1,13,1,9,2,13,1,9,1,5,46,28,11,6,1,17,1,15,1,8,1,13,1,7,1,6,1,7,1,28,5,7,1,13,1,24,1,8,1,13,1,29,1,28,6,8,1,13,2,6,2,28,1,30,1,28,27,13,1,12,1,24,1,13,2,7,1,29,1,}, {13,1,24,2,30,1,28,15,30,1,28,1,30,1,28,7,30,1,28,2,30,1,28,7,6,2,28,1,13,1,6,2,9,2,17,3,8,2,29,2,6,1,28,1,13,1,14,2,9,1,13,1,8,1,10,2,8,1,9,1,13,1,8,1,13,1,9,1,17,2,13,3,6,1,9,1,13,1,9,2,8,1,24,1,6,1,24,1,13,1,24,3,12,1,17,1,11,1,24,1,8,1,13,1,6,1,8,1,13,1,8,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,5,29,1,28,4,30,1,28,1,29,1,6,1,28,1,29,1,28,1,8,1,24,1,9,2,10,1,7,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,13,1,17,3,10,1,24,1,8,2,13,1,7,1,13,1,7,2,8,1,13,1,24,1,11,1,12,1,11,1,28,5,30,1,28,9,13,1,16,1,17,3,16,1,11,1,16,2,11,1,16,3,9,1,16,3,11,2,16,1,11,1,9,2,16,2,11,1,16,1,11,3,9,3,16,2,9,2,16,1,9,4,8,1,9,1,11,2,13,1,30,2,28,24,29,2,30,1,28,1,29,1,6,4,29,2,6,2,28,1,7,1,6,1,13,1,29,1,13,2,7,1,30,1,6,1,28,1,6,1,28,1,30,1,29,1,30,2,28,37,30,1,28,25,30,1,28,21,30,1,28,1,6,1,7,1,30,1,24,1,6,5,29,1,30,7,28,37,30,1,28,4,30,2,28,22,6,1,28,11,30,1,28,2,29,1,28,34,30,3,7,1,6,1,7,1,8,2,24,1,10,1,8,1,12,1,17,1,12,1,17,1,11,1,12,1,16,1,17,37,16,1,11,1,9,2,13,2,9,1,13,3,8,1,16,1,9,1,16,1,11,1,17,35,16,2,11,1,16,2,9,3,5,2,33,84,13,1,28,25,30,2,28,2,29,1,28,75,29,1,30,1,29,1,6,1,30,1,24,1,8,1,9,1,8,1,16,1,5,416,9,1,8,1,9,1,8,1,13,1,6,1,7,1,13,1,30,4,29,1,30,1,6,1,30,2,7,1,6,1,9,2,10,1,11,2,17,3,12,1,17,15,10,1,11,1,12,1,17,113,12,2,17,6,11,2,12,1,17,2,12,1,17,3,12,1,17,1,10,1,12,1,10,1,8,2,13,1,7,1,28,1,9,1,13,1,28,1,29,1,28,2,30,1,28,2,30,6,28,1,30,1,6,1,29,1,6,3,7,1,13,1,7,1,13,1,6,1,7,1,6,1,29,1,7,1,13,3,8,1,11,1,9,1,10,1,11,1,9,1,11,2,16,1,11,1,16,2,11,2,16,1,17,1,16,1,11,1,16,2,11,1,17,1,11,3,9,1,13,1,11,1,9,1,11,1,16,1,9,1,16,2,10,1,11,2,9,1,10,2,9,1,13,1,10,1,11,4,9,2,8,1,9,1,8,1,9,2,8,1,9,2,8,2,11,1,9,1,11,1,12,1,9,1,11,1,9,1,11,1,16,1,10,1,9,2,10,1,9,1,11,1,9,1,8,1,9,1,11,5,16,1,9,3,16,2,11,1,16,2,9,1,11,1,16,1,11,2,16,2,11,2,16,1,17,3,11,1,9,2,16,1,17,6,16,1,17,12,10,1,17,2,10,1,17,2,16,1,17,1,12,1,17,6,9,1,12,1,17,1,16,1,11,1,17,17,12,2,16,1,17,10,16,1,17,1,11,1,16,1,11,1,9,1,10,1,17,4,16,1,11,2,17,1,16,1,10,1,13,2,28,8,30,1,6,1,29,1,30,2,28,1,6,1,7,1,28,2,30,1,28,142,13,1,6,1,28,93,30,1,29,2,30,1,29,1,6,1,28,1,7,2,29,1,28,1,13,1,6,2,13,1,29,1,28,1,6,1,30,1,29,2,7,1,6,2,7,1,6,4,30,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,1,29,2,13,1,30,1,8,1,29,1,13,2,7,1,13,1,7,1,13,1,8,1,13,2,8,2,10,1,8,1,28,19,29,1,30,1,13,1,6,3,28,1,6,1,29,1,6,4,29,2,6,2,13,1,6,1,29,1,6,1,7,2,13,2,7,1,13,1,7,1,29,1,13,1,6,2,13,4,6,2,28,1,30,2,6,1,28,3,30,1,28,1,30,1,28,1,30,4,28,2,29,1,28,2,30,2,6,1,30,1,28,2,30,1,28,1,13,1,30,1,13,2,7,1,8,1,10,1,24,2,17,1,12,1,9,1,12,2,9,1,12,1,10,1,12,1,10,2,12,1,9,1,12,2,9,1,12,1,17,2,24,1,17,1,8,2,12,3,17,21,12,1,17,6,12,1,17,1,12,1,9,1,17,1,9,1,12,6,9,2,12,2,11,1,12,1,17,1,12,1,11,1,12,1,17,3,12,1,17,3,12,1,11,1,17,4,24,1,17,1,24,1,12,1,9,3,10,2,12,1,11,2,12,1,17,2,13,1,30,1,6,1,28,2,30,1,28,31,6,3,8,1,9,1,8,4,24,1,10,1,9,1,8,1,9,1,13,2,7,1,8,1,13,1,7,1,13,1,6,2,13,1,6,1,8,3,9,1,8,1,10,1,11,2,9,1,10,1,11,2,12,1,10,1,9,1,8,1,11,1,8,1,12,1,9,1,10,1,9,1,13,3,9,3,8,1,13,1,9,1,10,1,11,1,8,2,9,2,8,1,9,1,8,1,9,1,13,1,11,1,13,1,8,3,11,1,9,2,11,1,9,2,8,1,9,1,8,1,9,1,8,1,9,3,13,2,5,46,28,11,13,1,15,1,24,1,12,1,9,1,6,1,13,1,6,1,7,1,30,2,28,1,29,1,6,1,24,1,8,1,24,1,9,1,6,1,28,6,9,1,24,1,28,1,30,1,28,1,30,1,29,1,28,27,8,1,14,1,13,1,8,1,7,1,29,1,13,1,}, {13,1,12,1,24,1,29,1,28,14,29,1,28,2,30,1,28,10,29,1,28,3,30,1,28,3,30,1,28,2,24,1,8,1,11,1,9,1,12,1,17,3,9,1,8,1,30,1,6,3,10,1,14,2,15,1,13,1,12,1,10,1,11,1,13,1,8,1,6,1,13,1,8,1,9,1,17,1,9,1,13,1,8,1,13,2,6,1,13,1,9,3,8,1,13,1,9,2,8,1,12,1,9,1,16,3,9,1,8,1,9,1,8,3,9,1,13,1,28,6,30,1,28,7,6,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,6,1,13,2,7,1,24,1,8,1,12,1,17,1,8,1,29,1,30,1,28,2,30,1,29,2,24,1,17,2,10,1,12,1,9,1,13,1,8,2,13,1,8,1,6,2,13,3,9,3,8,1,28,5,30,1,28,2,30,1,28,5,9,1,17,2,11,1,16,6,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,9,1,16,1,11,1,16,2,11,1,9,1,11,1,16,1,9,1,11,1,16,1,8,1,16,1,9,3,11,1,13,1,9,1,8,1,9,1,11,1,13,1,28,21,30,1,28,2,30,1,28,2,29,1,28,1,30,1,6,1,29,1,7,1,6,1,30,1,7,2,6,1,30,1,6,1,13,2,29,1,6,1,7,1,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,85,30,1,6,1,30,1,6,3,30,1,13,1,6,2,29,1,30,1,29,1,28,57,30,1,28,2,30,1,28,18,29,1,28,2,30,2,28,1,30,1,28,37,6,3,7,2,13,1,24,1,10,2,17,1,12,1,17,2,11,1,17,39,16,3,8,1,9,1,11,1,9,1,13,1,9,1,11,2,13,1,9,1,13,2,9,5,11,1,10,1,17,1,11,1,17,1,16,4,11,2,17,2,16,1,17,1,16,4,17,1,16,1,17,2,16,2,9,1,11,1,9,1,13,1,9,1,8,1,13,2,9,1,13,1,6,1,13,1,9,1,5,2,33,1,5,1,33,82,28,23,30,1,28,1,6,1,29,1,28,1,30,1,28,77,29,2,30,1,29,1,6,2,8,2,24,1,8,1,11,1,5,417,9,1,8,1,13,3,6,1,29,1,30,1,6,1,30,2,29,1,28,1,7,4,6,1,13,1,10,1,9,1,10,2,17,15,9,1,11,1,17,2,11,1,12,1,10,1,12,1,17,2,12,1,17,106,11,1,17,1,12,1,17,4,12,2,11,1,12,1,10,1,11,1,12,1,17,3,11,1,12,1,9,1,11,1,9,1,10,2,12,1,8,1,13,1,7,1,13,1,30,1,12,1,28,11,30,1,29,1,30,1,6,1,28,2,29,2,6,2,13,1,7,4,13,1,7,1,13,1,7,1,13,1,8,2,13,1,9,3,10,1,9,1,11,2,16,1,11,1,16,1,11,1,16,4,17,1,16,1,11,2,10,1,11,2,10,1,9,1,11,1,13,1,9,2,8,1,11,1,10,1,11,1,16,2,11,3,17,1,11,1,10,1,9,1,11,1,10,1,9,1,17,1,11,1,10,1,11,2,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,3,8,1,9,1,10,1,11,1,10,1,11,1,16,1,11,1,9,1,10,2,9,1,10,1,13,1,11,3,9,1,11,2,9,1,11,3,16,1,10,1,9,2,11,2,16,1,9,1,11,2,16,5,17,3,11,1,9,2,11,1,17,3,16,1,17,1,16,2,17,7,12,1,17,2,8,1,9,2,10,1,17,1,9,3,16,1,17,7,11,1,9,1,17,4,10,1,17,16,11,1,16,2,17,12,16,1,17,1,16,2,17,7,16,1,17,4,10,1,7,1,28,1,6,1,28,2,6,1,13,1,7,1,13,2,6,1,28,2,29,1,28,1,6,2,28,1,30,3,28,139,7,2,28,94,29,3,6,1,29,1,30,1,29,2,7,1,6,2,8,1,13,4,6,1,30,1,13,1,30,1,29,1,7,1,29,2,6,3,29,1,7,1,29,1,30,2,28,5,30,1,28,1,30,1,29,1,30,1,29,3,13,1,6,1,30,1,28,1,30,1,13,3,6,1,8,1,9,4,17,1,9,1,6,1,28,15,30,1,29,1,30,2,6,1,8,1,13,1,7,1,6,1,13,1,6,1,7,2,30,1,29,1,7,1,29,1,6,1,29,1,7,1,6,1,13,4,29,1,7,1,6,2,13,1,30,1,8,1,13,1,6,1,13,2,6,1,13,1,7,1,29,2,30,1,28,7,30,1,28,2,30,1,6,1,28,3,6,1,28,2,30,1,28,1,30,2,29,1,6,2,29,2,13,1,30,1,13,1,30,1,7,1,13,1,9,1,24,1,9,1,12,1,17,1,10,1,12,1,17,2,24,1,17,2,10,2,17,2,10,1,12,2,8,1,10,1,9,1,24,1,12,1,24,1,12,1,9,1,8,1,12,1,10,2,12,1,17,17,12,1,17,5,12,1,17,1,12,1,17,1,12,1,17,1,12,2,17,2,10,1,17,1,12,2,9,1,8,1,9,2,12,1,17,1,11,1,10,1,17,1,9,1,17,1,12,1,17,2,12,2,17,1,12,3,17,1,12,1,8,1,10,1,8,1,10,1,13,1,8,1,9,2,8,1,9,1,8,1,9,1,12,2,17,1,12,1,30,2,28,29,30,1,28,1,29,1,7,1,6,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,10,1,8,4,9,1,13,1,9,1,6,1,13,2,30,2,6,1,13,1,6,1,9,2,11,1,12,1,9,1,10,1,11,1,10,1,11,1,9,1,12,1,10,3,11,1,10,1,9,1,12,1,11,1,9,1,10,1,9,2,8,2,9,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,4,13,1,8,1,9,1,8,1,10,1,13,2,9,1,10,1,9,1,10,1,9,4,8,1,13,1,9,1,10,1,11,1,9,1,8,2,11,1,8,1,13,2,5,46,30,1,28,10,13,1,14,2,11,1,8,2,13,1,29,2,30,1,29,2,30,1,29,1,10,1,13,1,9,1,7,1,6,1,28,6,9,1,8,1,28,1,29,2,30,1,7,1,28,27,13,1,15,1,24,1,30,1,6,1,30,1,6,1,}, {24,1,15,1,8,1,6,1,28,17,30,1,28,19,30,1,29,1,30,1,24,2,8,1,9,1,12,1,17,1,14,1,12,1,13,1,6,1,29,2,30,1,8,1,17,2,9,1,29,1,10,1,17,1,12,1,9,1,13,3,8,2,17,2,6,1,13,3,7,2,13,1,9,1,16,1,9,1,24,1,13,1,6,1,9,1,8,1,16,1,10,1,16,1,11,1,10,1,8,2,9,1,8,1,9,1,8,2,29,1,30,1,28,9,30,2,6,1,28,1,29,1,6,1,28,5,29,1,7,1,6,1,7,1,8,1,13,1,9,2,15,1,13,1,6,2,28,1,30,1,28,1,6,2,9,1,12,1,17,2,9,2,13,1,24,1,8,1,13,1,8,1,6,2,13,2,8,1,11,1,9,1,10,1,13,1,30,1,28,2,30,1,28,7,30,1,28,2,9,1,16,1,11,2,16,3,11,1,16,1,11,1,16,1,11,1,16,5,11,1,16,1,11,1,9,1,11,1,16,2,9,1,16,1,9,3,16,1,9,5,16,1,9,1,11,1,9,1,16,1,9,1,13,1,11,1,8,1,11,1,9,1,6,1,28,25,29,1,30,2,28,1,13,1,28,1,29,1,28,2,6,1,29,1,30,1,29,1,6,1,29,1,30,1,6,1,13,1,29,1,6,1,29,1,6,1,28,1,29,1,30,1,29,1,28,86,30,1,28,2,30,1,28,1,30,2,6,1,29,2,7,1,29,1,30,1,7,1,6,2,28,1,6,1,28,47,30,2,28,4,30,1,28,22,30,4,28,39,30,1,28,1,29,2,13,1,8,1,7,1,8,2,10,1,12,2,17,4,11,1,17,2,16,1,17,34,16,1,17,1,9,1,16,2,9,1,11,1,9,3,8,1,13,1,9,5,13,1,9,1,16,1,8,2,9,1,13,1,9,1,13,1,8,1,13,2,11,1,13,2,9,1,13,1,9,2,10,1,13,1,8,1,13,2,11,1,9,1,13,2,9,1,16,1,9,2,11,1,13,5,9,1,13,1,8,1,13,1,9,1,13,1,33,3,5,1,33,2,5,1,33,1,5,1,33,74,5,1,28,19,30,1,28,3,30,1,28,83,29,1,28,3,13,1,8,4,13,1,16,1,5,417,9,2,13,1,7,1,13,1,7,2,30,1,6,1,29,1,6,1,29,1,30,1,7,1,6,1,29,2,7,2,10,1,9,1,12,2,11,1,17,1,12,1,17,13,12,1,17,2,12,2,11,1,17,106,12,1,17,3,11,1,17,4,12,1,11,1,10,1,11,1,9,1,17,1,10,1,24,1,10,1,11,1,17,1,9,1,8,1,11,1,24,1,9,2,10,1,24,1,9,2,8,1,29,1,30,1,24,1,8,1,28,8,29,1,28,2,30,1,6,1,30,1,6,1,30,2,29,1,6,2,13,1,7,1,13,1,6,1,29,1,13,1,6,2,7,1,8,1,7,1,8,1,9,1,11,3,9,2,16,1,10,1,16,1,11,1,16,2,11,1,16,1,17,1,11,1,17,1,16,1,9,1,11,1,17,1,9,1,12,1,10,2,11,1,10,1,13,3,16,1,11,2,16,1,17,1,11,2,16,1,9,1,11,1,9,1,10,1,11,1,9,1,10,1,9,1,11,1,16,1,9,1,8,7,13,1,9,1,8,1,9,1,8,1,9,2,11,2,10,1,11,1,9,2,16,2,8,1,11,1,10,1,11,1,9,1,11,2,9,1,11,2,9,2,8,1,9,1,11,2,9,1,11,2,16,1,11,1,16,1,11,2,16,4,17,1,11,2,17,2,16,1,11,2,16,2,17,3,16,2,17,8,8,1,17,2,9,1,10,1,24,1,9,1,13,1,9,1,24,1,12,4,17,7,10,1,11,1,17,1,9,1,17,1,12,1,17,15,12,1,9,1,12,1,17,9,10,1,12,1,17,1,16,1,17,4,16,1,17,3,16,1,17,1,16,1,9,1,16,1,17,5,9,1,17,4,12,1,8,1,13,2,30,1,6,1,30,2,6,1,28,1,30,2,6,1,30,1,28,139,6,1,7,1,28,94,30,1,7,1,28,1,6,1,28,2,6,1,13,1,29,2,7,1,13,1,7,2,13,1,7,3,13,3,6,1,13,1,6,1,7,1,6,1,7,1,6,1,30,1,29,1,6,1,7,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,13,1,30,1,29,1,6,1,29,1,7,1,6,1,13,1,7,1,9,1,13,1,8,1,13,1,8,1,10,1,13,1,17,1,9,1,13,1,28,13,30,1,28,4,6,1,28,1,30,1,29,3,6,1,30,1,29,1,6,1,13,1,6,1,7,1,28,1,13,1,6,3,30,1,13,3,30,1,6,1,13,2,6,2,8,1,6,1,29,1,8,1,7,2,13,2,6,1,30,2,28,13,30,1,29,1,6,1,28,1,30,1,6,2,30,1,6,1,28,1,6,1,7,1,30,2,28,1,7,1,30,1,6,1,13,2,6,1,8,1,10,1,8,1,24,1,10,1,12,1,17,1,9,1,11,1,10,1,11,1,10,1,11,1,10,1,9,1,10,1,12,1,24,1,12,1,10,1,24,1,10,1,12,3,9,1,12,2,10,1,11,1,17,26,9,1,10,1,12,2,11,1,9,1,17,1,12,2,10,1,12,2,17,1,12,1,17,2,12,1,17,3,12,1,17,2,10,1,17,6,12,2,10,1,9,2,10,1,8,2,9,1,8,1,9,1,8,1,9,1,13,1,10,1,9,1,17,2,10,1,8,1,30,3,28,25,30,1,29,1,30,1,6,1,13,2,8,1,9,2,8,1,10,1,11,1,9,1,13,1,24,1,6,1,7,1,6,1,13,1,6,1,13,6,6,1,7,1,13,1,7,1,9,1,10,1,13,1,12,1,17,1,11,1,17,1,11,1,10,1,8,1,17,1,11,2,12,1,9,1,10,1,11,1,10,1,9,1,12,1,10,1,12,1,13,1,10,2,13,1,10,1,9,2,13,1,9,2,13,1,9,1,8,1,13,2,8,1,13,1,9,2,13,7,10,1,8,1,13,1,7,1,9,1,13,2,8,1,13,3,8,1,13,2,10,1,13,1,5,47,28,11,9,1,14,3,9,1,8,1,6,1,13,1,30,1,28,1,30,1,6,1,28,1,13,1,24,1,8,1,10,1,13,1,28,7,17,1,8,1,28,3,30,2,28,27,8,1,15,1,24,1,8,1,29,1,13,1,29,1,}, {13,1,9,1,11,1,30,1,28,29,30,1,28,6,30,2,28,1,6,1,8,2,13,1,17,3,14,1,24,1,8,1,29,2,6,1,29,1,13,1,17,1,14,1,9,1,13,1,9,1,16,1,10,1,11,1,13,2,7,1,6,1,9,1,17,2,8,1,13,2,7,1,8,1,6,1,11,2,9,1,13,1,9,1,7,1,13,1,9,1,8,1,9,1,16,2,9,1,16,1,13,1,9,1,8,1,24,1,9,1,24,1,13,1,28,2,30,1,28,2,30,1,28,1,30,2,6,1,29,1,28,2,6,2,28,1,30,2,28,1,30,4,6,2,13,1,8,1,9,1,8,1,17,1,15,1,8,1,30,1,6,1,28,1,6,1,28,1,30,1,7,1,24,1,12,1,9,1,8,1,10,1,24,1,13,1,8,1,9,1,13,2,7,1,13,1,6,1,7,1,24,2,17,2,13,1,30,1,28,10,30,1,28,2,13,1,17,1,16,1,11,1,16,3,11,1,16,2,9,1,11,1,9,1,16,1,11,5,16,1,9,1,8,1,9,2,16,1,9,1,11,1,9,1,16,1,13,2,11,1,9,2,16,2,13,1,9,1,16,1,8,1,9,3,8,1,16,1,6,1,30,1,28,25,30,1,6,1,29,1,30,1,6,1,29,2,6,1,29,1,28,1,29,1,6,2,30,1,13,1,6,1,13,1,6,1,30,1,6,1,30,1,28,1,6,1,28,3,30,1,28,44,30,1,28,44,30,1,29,1,7,1,30,1,29,1,6,1,30,1,6,1,8,1,29,1,6,3,28,1,30,1,28,49,30,1,28,4,30,1,28,2,30,1,28,4,30,1,28,12,30,1,28,41,29,3,7,1,13,2,8,2,24,1,8,1,9,1,17,2,12,1,17,17,11,1,17,21,10,1,16,1,9,1,16,2,13,2,9,3,13,1,9,11,13,1,9,1,13,2,9,1,13,1,9,2,10,1,13,2,9,2,13,1,9,2,11,1,9,1,13,1,9,1,13,1,11,1,9,2,13,1,11,1,10,2,9,3,13,2,11,1,13,1,9,1,13,5,9,1,13,8,33,5,5,1,33,66,5,1,33,1,28,26,30,1,28,1,29,1,28,78,30,1,29,1,28,1,6,1,30,1,6,1,7,1,24,1,8,2,13,1,16,1,5,417,11,1,9,2,13,1,8,1,6,1,7,1,6,2,7,1,30,1,13,1,7,1,28,1,29,1,6,3,13,2,10,1,24,1,12,1,10,1,17,16,12,1,17,1,12,1,10,2,12,1,17,1,11,1,17,101,12,1,17,3,10,1,12,2,17,2,12,1,17,1,11,2,10,1,24,1,10,2,8,1,12,1,17,1,8,1,9,1,11,1,8,2,10,1,11,1,12,2,10,1,9,1,8,1,10,1,28,1,6,1,9,1,30,1,28,1,30,1,28,5,30,1,28,2,30,1,29,1,28,1,29,1,30,2,28,1,29,1,6,2,29,1,13,2,6,1,7,1,13,1,6,1,8,1,7,1,13,1,8,2,13,2,9,2,10,1,9,2,11,1,9,1,16,6,17,1,16,2,11,1,16,1,9,1,16,1,17,1,12,1,11,3,13,3,10,1,9,1,11,1,17,2,11,1,16,1,11,1,16,1,11,2,10,2,9,1,10,1,9,1,11,2,9,2,13,1,11,1,8,2,9,1,8,2,9,1,8,1,9,2,8,1,11,1,9,1,11,1,10,1,9,1,16,1,9,1,11,1,9,1,10,1,9,2,11,2,8,1,11,1,9,3,11,1,10,1,11,1,9,2,16,1,11,2,9,1,11,1,10,1,16,1,9,1,16,8,17,2,16,1,17,1,16,3,17,2,16,2,17,4,16,1,17,3,12,1,10,1,12,2,17,2,10,1,24,2,12,3,8,1,9,1,17,1,12,1,17,10,12,1,17,6,12,1,17,8,16,1,11,1,10,1,17,3,16,1,17,6,9,1,12,1,9,3,10,1,17,6,11,3,9,1,11,1,10,1,17,3,12,1,16,1,11,1,12,1,17,3,12,1,24,1,13,1,8,1,9,1,10,1,6,2,28,1,30,2,28,4,30,1,28,136,7,1,13,1,28,99,6,1,28,1,7,1,28,1,30,1,28,1,6,1,13,1,7,1,6,2,7,2,29,1,6,1,8,1,7,1,13,2,6,2,13,1,8,1,29,1,7,1,6,1,28,1,30,2,28,2,30,1,28,5,30,1,7,1,30,2,13,1,6,1,7,1,6,1,29,2,30,1,13,2,7,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,10,1,13,1,30,1,28,2,30,1,28,13,29,1,6,1,28,2,7,1,6,1,29,1,13,1,7,1,6,1,7,1,30,1,28,1,7,1,6,1,29,1,6,2,29,2,6,1,13,1,6,1,13,1,7,1,13,1,7,1,13,1,8,1,7,1,6,2,7,1,6,1,8,1,7,1,13,1,28,14,30,2,6,1,29,1,28,2,13,1,7,1,6,3,29,1,6,6,30,1,29,2,6,1,7,1,8,2,24,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,10,1,12,3,10,1,11,1,10,1,24,1,9,1,12,1,24,1,8,1,17,1,9,1,24,1,9,1,10,2,12,1,11,1,10,1,17,1,12,1,17,26,12,1,17,2,10,1,12,2,17,1,10,1,12,1,24,1,11,1,9,1,12,2,17,9,12,1,17,1,10,1,12,1,10,3,8,2,9,1,24,1,13,2,9,1,13,1,8,1,13,1,9,1,8,1,24,1,10,1,12,1,10,1,6,1,29,1,30,2,28,2,30,1,28,17,30,2,29,1,6,1,7,1,8,1,13,2,10,3,9,1,8,1,9,1,13,1,30,1,6,3,29,1,7,1,6,3,8,1,13,2,8,1,13,2,9,2,10,1,9,3,11,1,17,1,8,1,9,2,11,1,17,1,13,1,11,1,10,1,9,1,17,1,10,1,11,1,17,1,12,1,13,1,11,1,9,1,8,1,13,1,8,1,9,4,8,1,9,1,8,1,10,1,13,1,9,1,13,1,11,1,13,2,7,1,13,4,7,1,8,1,6,1,13,3,7,1,8,1,13,2,6,1,13,5,30,1,13,2,9,2,5,47,6,1,28,9,29,1,8,1,14,2,10,1,8,2,13,1,6,1,29,1,6,1,28,3,6,2,17,1,12,1,6,1,28,7,17,1,13,1,7,1,28,31,9,2,13,1,8,1,13,1,7,1,29,1,}, {13,1,9,1,11,1,6,1,28,1,30,1,28,34,29,1,30,2,28,1,13,1,9,1,17,1,12,1,17,3,11,1,6,2,30,1,29,1,28,1,13,1,10,1,17,1,10,1,9,4,11,1,13,1,6,1,7,1,13,1,11,1,16,2,9,1,13,1,24,1,13,2,28,1,13,1,11,1,10,1,24,1,13,1,8,3,9,1,11,1,12,1,11,1,12,2,11,1,8,1,9,1,13,1,24,2,6,1,28,5,7,1,28,1,30,1,28,2,30,2,28,1,30,1,6,1,29,2,30,2,28,1,30,2,6,1,30,1,7,1,13,2,8,2,17,1,12,1,9,1,29,4,30,1,29,1,7,1,13,1,9,1,12,1,10,1,12,1,24,1,9,1,8,2,24,1,13,1,7,1,6,1,7,1,6,1,8,1,12,1,11,1,10,1,13,1,28,7,30,1,28,6,13,1,8,1,9,1,11,1,16,3,11,1,16,1,9,1,16,1,11,1,16,1,9,2,16,1,9,7,13,1,9,1,11,1,9,4,11,1,13,1,9,1,13,1,9,1,8,1,9,2,11,2,9,2,8,1,9,1,11,1,13,1,28,26,30,2,29,1,28,1,6,1,29,2,28,1,30,1,28,1,30,2,6,1,29,2,28,1,30,1,28,1,30,1,29,2,28,1,30,1,28,89,30,1,28,3,6,1,28,1,6,1,30,1,6,1,30,2,6,1,28,1,6,1,13,1,30,2,29,1,30,1,6,1,28,57,30,1,28,58,29,1,30,1,6,1,7,1,8,2,24,1,13,1,12,1,9,1,11,1,17,10,16,1,17,19,11,1,17,3,16,1,17,7,9,1,16,1,9,1,11,1,9,2,13,1,8,1,9,3,13,1,9,3,8,1,9,6,8,1,13,1,9,1,13,2,9,2,13,1,8,1,11,1,8,1,13,1,8,1,9,2,13,1,9,1,13,1,9,2,11,1,9,2,11,1,9,1,6,1,13,1,8,1,9,1,13,1,9,1,8,1,13,3,8,1,13,13,6,2,30,1,6,1,13,1,33,1,30,1,33,1,5,1,33,63,5,1,13,1,28,22,30,1,28,4,30,1,29,1,28,79,30,3,6,1,29,1,7,1,8,2,24,1,8,1,9,1,16,1,5,418,9,1,13,3,7,1,6,1,30,1,7,1,6,2,28,1,29,1,30,1,28,1,29,1,13,1,6,1,29,1,13,1,9,1,8,1,17,1,12,1,17,16,12,1,17,2,10,1,17,1,12,1,17,1,11,1,17,1,12,1,17,100,12,1,17,1,11,1,17,4,10,1,11,1,12,1,17,1,12,1,17,1,10,1,11,2,12,1,8,3,9,1,17,1,9,2,11,1,10,2,8,1,24,2,13,1,30,1,28,1,8,1,13,1,30,1,28,6,30,2,28,1,29,1,30,1,29,1,30,1,28,1,29,2,6,1,29,2,7,2,6,1,7,1,6,1,8,1,13,3,8,1,13,1,9,1,13,1,9,1,11,1,9,1,11,1,9,1,11,2,9,1,11,2,16,1,11,1,16,3,11,1,17,1,11,2,16,1,11,2,17,1,9,1,16,1,9,1,12,1,6,1,9,1,8,1,9,1,11,1,9,2,11,1,16,1,10,1,16,2,11,1,9,1,11,1,9,1,11,2,9,1,11,3,9,1,13,2,9,1,13,1,9,1,13,1,8,1,9,1,8,1,9,2,12,1,11,1,10,1,9,1,11,3,10,1,11,1,9,1,10,1,9,1,11,1,8,1,11,1,9,10,10,1,9,3,11,2,16,1,11,2,16,2,11,1,16,1,17,1,16,1,11,1,17,5,11,1,16,2,17,1,16,1,17,4,12,1,17,2,12,1,9,2,17,1,9,1,17,1,24,4,9,1,12,1,8,1,9,1,24,1,9,1,24,1,12,1,24,1,12,1,17,13,10,1,12,1,17,10,9,1,10,1,17,10,11,1,16,1,8,1,9,1,10,1,17,2,12,1,17,4,11,2,17,7,16,1,10,1,12,1,9,1,12,1,11,1,12,1,9,1,10,1,11,1,9,1,11,1,10,1,11,1,8,1,7,1,30,1,6,1,28,2,30,3,28,135,6,2,28,94,30,1,28,5,30,1,28,3,29,1,28,1,13,1,29,1,7,1,6,2,13,1,7,2,6,1,13,2,6,2,13,2,6,1,8,1,7,2,30,1,6,2,28,4,30,1,28,1,30,2,28,1,30,1,28,1,29,1,30,1,7,1,29,2,7,1,6,2,7,1,6,2,13,2,8,3,11,1,9,1,13,1,9,2,17,1,7,1,30,1,28,15,30,1,28,1,30,4,28,1,30,1,29,2,13,1,28,1,7,1,6,1,7,2,13,2,29,1,7,1,29,1,13,1,8,1,13,1,7,2,13,1,7,1,6,3,7,1,29,1,7,1,13,1,7,1,6,1,30,1,28,10,30,1,28,1,30,2,6,1,28,5,30,1,29,2,30,1,7,1,30,2,13,1,28,1,6,1,29,1,28,1,29,1,30,2,7,1,29,1,6,1,8,2,9,1,17,1,9,1,10,1,12,1,24,1,9,1,11,1,12,1,17,1,10,1,12,1,13,1,10,2,12,1,9,1,10,1,24,1,17,1,8,1,24,1,9,1,12,1,24,2,10,2,12,1,17,17,12,1,17,4,12,1,17,4,11,1,17,3,12,2,17,1,12,1,17,5,12,1,17,7,11,2,9,1,17,1,12,1,9,1,6,1,13,2,7,1,8,3,13,2,8,1,13,2,8,1,9,1,12,1,9,1,17,1,8,1,6,1,30,1,28,3,30,1,28,1,30,1,28,13,6,1,30,1,6,1,30,1,13,1,24,1,8,1,9,2,10,1,9,2,8,2,13,1,30,1,6,1,28,1,6,2,29,1,6,1,13,1,7,1,8,2,13,1,8,1,13,1,11,1,9,1,10,1,9,1,10,1,13,1,8,2,11,1,17,2,12,1,9,3,10,1,11,2,10,1,11,3,8,1,13,1,8,1,13,1,10,1,9,2,8,1,13,2,9,1,13,4,9,1,13,1,7,1,8,1,13,3,6,1,13,2,9,1,13,2,6,1,13,2,7,1,13,3,7,1,13,2,6,1,13,2,7,1,6,1,13,5,5,48,30,1,28,9,30,1,15,1,14,2,15,1,9,1,8,1,7,1,6,1,29,1,28,5,29,1,9,1,17,1,8,1,28,6,29,1,17,1,24,1,6,1,28,2,30,1,28,28,9,1,15,1,8,1,6,1,7,1,6,1,13,1,}, {6,1,11,1,15,1,13,1,6,1,28,35,30,1,28,1,6,2,13,1,7,1,8,1,24,1,17,3,9,1,7,1,6,2,30,2,13,1,12,1,17,1,16,1,9,1,8,1,9,1,16,1,9,2,7,1,13,1,8,2,17,2,8,2,6,1,13,1,8,1,13,2,12,1,16,1,12,1,11,1,8,1,13,1,6,1,8,1,9,2,11,1,16,1,9,2,7,1,8,1,24,1,10,1,9,1,6,1,29,1,28,4,30,1,28,1,6,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,30,1,13,1,7,2,8,1,13,1,15,1,12,1,24,1,28,1,29,3,30,2,28,1,10,1,17,3,12,1,9,1,8,3,13,1,29,1,13,1,7,1,13,3,8,2,9,1,8,1,30,2,28,1,29,1,28,10,13,1,17,1,11,1,17,1,16,7,9,1,11,2,9,3,13,2,9,1,13,2,9,2,11,1,9,1,11,1,8,2,9,1,13,1,8,1,9,2,11,2,9,1,16,1,9,2,13,1,9,1,13,1,9,1,10,1,13,1,28,26,6,1,30,1,28,1,30,1,29,1,28,2,30,1,28,1,6,1,29,1,30,1,29,1,6,2,29,1,7,1,29,1,6,1,30,3,28,1,29,1,28,87,30,1,28,5,29,1,28,2,6,1,7,1,28,1,29,1,24,1,7,1,29,1,6,2,30,1,29,1,28,58,30,1,28,2,30,1,28,55,30,1,8,1,30,1,8,2,13,2,24,1,12,1,11,1,10,1,17,3,9,1,12,1,17,3,12,1,17,3,10,1,17,27,16,1,9,5,8,1,13,1,8,1,16,1,9,2,11,1,16,1,11,1,9,4,11,1,9,5,8,1,9,1,8,1,9,4,13,1,9,1,13,1,9,2,8,1,9,1,13,1,8,1,13,1,8,1,13,2,9,2,13,1,8,1,13,4,9,4,13,1,9,1,13,6,6,3,13,1,6,1,13,4,30,1,9,1,30,1,6,1,30,1,28,1,13,1,30,2,28,2,13,1,6,1,13,1,33,3,5,2,33,1,5,1,33,48,5,1,33,1,13,1,28,40,30,1,28,67,6,1,28,1,6,2,28,1,7,1,6,1,24,2,8,1,24,1,8,1,13,1,5,1,33,3,5,415,8,1,13,3,6,2,13,1,28,1,29,1,13,1,28,1,6,1,30,2,6,1,7,2,30,1,10,1,8,1,11,1,17,5,12,1,17,11,12,1,17,102,12,1,17,3,11,1,17,3,11,1,10,1,17,2,11,1,12,1,17,1,11,1,9,1,8,1,12,1,11,1,8,1,9,1,11,1,8,1,9,2,12,1,10,1,12,1,9,1,17,1,10,3,9,1,12,1,13,1,7,1,30,1,28,1,24,1,6,1,28,1,29,1,28,5,30,2,28,2,29,1,28,1,30,1,28,1,6,1,29,1,6,1,13,1,30,1,13,1,7,1,8,1,7,1,13,4,7,1,8,1,13,1,9,2,10,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,17,1,11,5,16,1,17,1,16,1,11,4,10,1,17,1,11,2,9,2,13,3,10,1,11,2,10,1,11,1,10,1,11,2,9,1,10,1,16,1,9,1,11,1,9,3,11,1,16,1,11,1,9,2,13,1,8,2,9,1,13,1,7,1,9,6,10,1,11,2,9,1,11,3,9,1,11,1,10,1,8,1,9,1,10,1,9,3,11,1,16,1,9,2,17,1,11,1,9,4,11,1,16,1,11,2,16,1,11,1,16,3,17,1,11,1,17,1,9,1,17,6,16,1,17,7,12,1,17,2,9,1,8,1,12,4,13,1,8,1,24,3,15,1,24,2,10,1,9,1,24,1,8,1,24,1,12,1,10,1,17,6,12,1,10,1,17,3,8,1,17,12,9,2,17,10,12,1,10,2,9,1,17,3,12,1,17,3,11,1,8,1,9,1,17,5,12,1,10,1,17,1,12,1,8,1,10,1,11,1,12,1,8,1,11,2,9,1,11,1,10,2,17,2,10,1,7,1,29,1,6,2,28,138,29,1,13,1,28,105,30,1,29,1,30,1,7,1,6,1,7,1,8,1,6,1,8,1,6,1,7,1,8,1,9,1,13,1,8,1,13,1,7,2,13,1,8,1,7,1,6,1,30,1,6,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,2,6,1,29,1,28,1,30,2,28,1,7,1,30,1,6,3,13,1,8,1,13,1,8,2,9,1,8,1,7,1,8,1,10,1,12,1,11,1,24,1,7,1,29,1,28,11,29,1,28,1,29,1,30,1,7,2,13,1,8,2,13,1,8,1,13,1,24,1,7,1,30,1,28,1,13,1,29,1,30,2,13,2,6,1,29,1,6,4,30,1,13,1,6,1,7,1,13,1,6,2,8,1,13,1,7,1,13,1,7,1,6,1,30,2,28,8,30,1,28,3,30,1,6,1,28,2,30,1,29,2,6,1,30,1,29,2,28,1,30,1,29,1,6,2,29,1,30,1,6,1,29,1,6,1,29,1,7,1,13,2,8,3,11,1,9,1,13,1,9,1,24,1,10,2,9,1,8,1,17,1,10,2,9,1,17,1,24,1,12,1,17,1,9,1,12,1,24,1,17,1,12,1,9,1,12,1,10,1,12,1,9,2,17,1,12,1,17,20,10,1,17,1,12,2,17,1,12,1,17,5,12,1,17,12,8,1,9,2,10,1,9,1,10,2,8,1,13,2,8,2,7,1,9,2,7,1,13,2,6,1,13,1,8,1,13,1,8,1,9,1,24,1,7,1,28,1,29,2,30,2,28,1,30,1,28,9,30,1,28,1,30,1,29,1,6,1,13,2,9,3,11,1,9,1,8,1,13,1,8,1,6,2,30,1,29,1,6,1,28,1,29,1,30,1,7,1,6,1,13,1,9,1,13,1,9,2,10,2,9,2,10,1,9,1,10,1,9,3,8,1,17,1,12,1,9,1,11,1,10,2,11,2,9,1,12,1,9,5,11,1,9,1,11,1,9,4,13,1,9,1,8,2,13,1,8,2,13,1,8,1,13,3,9,1,13,1,9,1,6,1,13,1,6,1,13,1,8,1,13,8,7,1,13,6,7,1,9,3,5,48,30,1,28,9,30,1,10,1,14,2,15,1,8,2,6,2,30,1,28,1,30,1,28,1,30,1,28,1,13,1,9,1,12,1,24,1,28,6,6,1,10,1,24,1,30,1,28,31,24,1,15,1,24,1,13,1,24,1,13,1,9,1,}, {8,1,9,1,16,1,13,1,30,1,28,14,30,1,28,20,30,1,28,1,29,1,6,1,13,1,7,1,8,2,11,1,17,2,12,1,6,3,7,1,30,1,8,1,11,1,17,1,16,1,8,1,9,1,12,2,13,1,9,1,6,1,13,1,8,1,13,1,17,2,13,1,7,1,8,1,7,1,13,1,6,1,13,1,24,1,16,1,17,1,9,1,8,1,24,1,13,1,8,1,9,1,17,3,16,1,13,1,9,1,13,1,9,1,24,1,10,1,30,2,28,10,30,1,28,1,6,3,28,2,30,2,28,4,13,3,8,1,24,1,12,1,15,1,9,1,29,1,30,1,28,2,29,1,30,1,6,1,13,1,17,1,12,1,17,1,10,1,8,3,13,1,8,1,13,1,6,3,7,1,13,1,9,2,8,1,13,1,30,1,29,1,28,5,30,1,28,3,6,1,28,2,29,1,11,2,9,1,16,4,9,2,11,1,9,1,13,2,9,1,13,1,9,5,13,1,9,2,13,1,8,1,9,1,13,1,16,1,9,1,11,1,9,5,11,1,9,1,11,2,9,2,8,1,9,1,11,1,28,24,30,1,28,3,7,1,29,1,28,1,30,1,28,4,30,2,28,1,30,1,29,1,30,1,28,1,6,1,28,2,30,1,28,2,30,1,28,45,29,1,28,1,30,1,28,49,30,1,28,1,6,1,30,2,29,1,6,1,7,1,29,1,30,1,28,113,30,1,28,2,29,1,6,2,7,2,13,1,24,1,13,1,9,1,24,1,12,1,17,5,10,1,12,1,17,4,11,1,17,13,12,1,17,12,11,1,17,3,9,2,16,1,9,1,11,3,16,1,11,1,9,1,8,2,11,1,9,1,11,1,9,2,16,2,8,1,16,1,11,1,9,1,16,1,8,1,11,1,9,1,16,1,9,4,11,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,13,1,9,1,13,2,9,1,13,4,9,1,8,3,13,2,9,1,13,1,9,3,13,1,8,1,13,1,8,1,13,1,30,1,13,3,6,1,13,2,7,1,13,1,8,1,13,2,6,1,7,1,6,2,13,1,6,2,13,1,30,2,28,3,13,1,28,2,6,1,28,1,33,7,5,1,33,41,28,27,30,1,28,1,29,1,28,11,29,1,30,1,28,67,29,1,30,1,28,1,29,1,7,1,6,1,8,2,13,1,8,2,9,1,5,2,33,4,5,414,9,2,6,1,7,1,13,2,30,1,29,1,6,1,29,1,30,1,13,1,28,1,6,2,30,1,13,1,30,1,24,2,11,1,10,1,12,1,17,16,12,1,17,1,11,2,17,1,11,1,17,96,12,2,11,1,17,1,11,2,12,1,11,1,17,1,12,1,11,1,10,1,12,1,17,1,11,1,10,2,24,1,9,1,10,1,9,1,10,1,9,1,10,1,9,2,17,1,9,1,17,1,11,1,12,1,13,1,8,1,24,2,13,2,6,1,28,1,8,1,6,1,28,1,29,2,6,1,30,1,28,7,29,1,30,1,28,2,30,1,13,1,6,2,7,3,13,1,8,1,13,7,8,1,9,1,11,2,9,3,16,1,11,3,16,3,17,1,16,4,13,1,11,1,16,1,11,1,17,1,11,2,10,1,11,2,8,1,9,4,10,1,9,1,16,2,11,2,9,1,10,1,8,1,11,1,13,1,9,2,16,1,11,1,10,1,9,1,12,1,8,1,9,1,10,1,13,2,9,1,13,1,8,1,9,5,10,1,11,1,9,2,11,1,9,1,10,3,16,1,10,3,9,2,8,1,13,1,9,1,11,1,10,1,11,1,9,1,11,1,9,3,10,1,11,3,16,1,11,2,16,4,17,1,11,1,17,5,16,2,17,2,16,1,9,1,17,3,11,1,17,1,10,1,24,1,9,1,12,2,10,1,13,1,6,1,13,1,8,2,10,1,25,1,24,1,8,1,24,1,12,1,13,1,8,1,24,1,8,1,9,2,17,10,9,1,10,1,17,12,12,1,17,4,16,1,17,6,9,1,12,1,9,1,17,3,16,1,17,3,10,1,8,2,17,4,9,3,24,1,9,1,12,1,10,2,16,1,9,2,17,1,10,1,9,4,17,1,11,1,9,1,28,1,6,1,7,1,30,1,6,1,13,1,6,1,28,133,30,1,13,1,28,108,30,1,29,1,7,1,13,2,29,1,13,1,6,1,8,3,13,2,6,1,13,1,6,1,29,1,13,1,6,1,13,1,6,2,30,1,6,1,28,5,6,1,30,1,29,1,6,1,7,1,29,2,6,1,13,1,7,1,6,1,7,1,13,1,7,1,8,1,30,1,7,1,9,1,13,1,8,2,9,2,8,1,9,2,24,1,9,1,10,1,9,1,8,1,13,1,6,1,30,1,28,1,13,1,6,1,7,1,6,1,8,1,11,1,24,1,13,1,29,2,6,1,28,2,30,1,28,28,6,1,13,3,6,1,30,3,28,6,30,2,28,2,6,1,28,5,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,7,1,30,1,6,6,13,3,24,1,11,1,9,1,17,1,9,1,12,1,7,1,28,2,6,1,13,1,24,1,8,1,13,2,12,1,11,1,9,2,11,1,12,1,9,3,17,1,12,1,9,1,11,1,17,1,10,1,17,43,9,1,8,1,13,3,8,1,9,1,13,6,6,1,13,2,8,1,13,3,8,1,9,1,13,1,9,2,10,1,7,1,6,2,8,1,29,2,30,1,28,8,29,1,28,1,6,1,30,1,9,2,13,1,24,1,11,1,9,2,11,1,9,2,13,2,28,1,30,1,28,1,30,2,28,1,30,1,29,1,6,1,9,1,7,1,9,1,8,1,10,1,9,3,11,2,8,1,11,1,9,3,11,1,9,2,17,2,9,1,8,1,11,4,17,2,10,1,11,1,10,1,11,2,10,1,9,2,17,1,8,2,9,1,13,1,11,1,13,1,8,2,9,1,10,2,9,4,13,1,9,1,13,1,8,1,13,1,8,2,13,1,10,1,13,3,9,1,13,3,8,1,13,2,7,1,13,1,7,1,8,2,9,2,5,49,28,11,14,3,12,1,24,1,13,1,7,1,30,1,29,1,30,1,29,1,28,1,30,1,28,1,13,1,10,1,9,1,8,1,28,6,6,1,9,1,12,1,6,1,28,31,9,1,12,1,24,1,13,1,8,1,6,1,9,1,}, {6,1,9,1,16,1,9,1,7,1,28,7,30,1,28,28,30,1,29,1,30,1,13,1,8,1,24,1,9,1,10,1,17,2,16,1,13,2,6,3,29,1,16,1,17,1,13,1,6,1,24,1,9,1,24,1,9,1,8,1,7,1,6,1,13,1,6,1,17,1,16,1,10,1,13,1,9,2,13,2,9,1,10,1,12,1,9,1,8,1,6,1,13,2,8,2,12,1,16,1,17,2,9,2,7,1,24,1,9,1,8,1,13,1,28,6,30,1,28,8,30,1,28,6,6,1,30,1,6,2,9,1,24,1,12,1,17,1,12,1,9,1,28,1,29,2,28,2,30,1,29,1,6,1,17,3,9,2,24,1,8,1,9,1,8,1,13,1,29,1,7,1,6,2,13,1,12,1,10,1,16,1,10,1,30,1,28,3,29,1,28,1,30,1,28,7,6,1,11,1,16,3,11,1,17,1,11,1,16,1,9,5,16,1,9,1,11,1,13,1,9,1,13,1,9,1,13,2,9,2,13,1,9,2,13,1,11,1,8,1,9,1,13,1,9,1,11,1,9,1,11,1,13,1,8,1,9,2,8,1,13,1,11,1,8,1,28,28,30,1,28,1,29,1,28,4,6,1,28,3,30,2,28,4,30,1,28,43,30,1,28,55,29,1,30,1,29,1,28,1,29,1,30,1,29,1,6,1,29,1,6,1,29,2,6,2,29,1,6,1,28,53,30,1,28,57,30,1,29,1,6,1,13,2,8,1,24,1,10,1,24,2,10,1,12,1,9,1,17,1,12,1,10,1,9,1,10,1,17,4,16,1,17,1,12,1,17,2,11,1,17,5,12,1,17,13,12,1,17,5,16,1,17,1,11,1,9,1,11,1,9,1,11,1,13,1,8,1,10,2,9,3,8,1,9,1,11,1,9,5,8,1,9,1,13,1,9,1,11,1,9,1,13,2,9,2,13,3,9,1,13,1,8,2,10,1,9,1,7,1,13,4,8,1,13,1,9,1,13,2,9,1,6,1,13,2,9,1,13,2,8,1,13,1,8,1,13,4,9,1,13,2,6,1,13,2,6,1,8,1,13,3,30,1,8,1,7,1,13,3,9,1,13,1,8,1,13,1,6,2,13,1,8,1,13,2,30,1,6,1,30,1,28,1,30,1,28,4,6,1,30,1,28,1,30,1,33,38,5,1,28,27,29,1,28,2,30,1,28,1,30,1,28,77,30,1,28,1,6,1,28,1,29,1,7,2,13,1,8,2,24,1,13,1,9,1,5,2,33,7,5,412,11,1,13,1,8,1,13,1,6,1,30,1,29,1,13,1,28,1,30,1,7,1,6,2,28,1,7,1,6,1,30,1,13,1,8,2,17,1,12,2,17,15,11,1,17,1,11,1,17,2,11,1,17,5,12,1,17,91,11,4,17,1,12,1,17,2,11,1,10,1,12,3,24,1,8,1,10,1,24,1,12,1,11,1,8,1,9,4,8,1,17,1,10,1,12,1,24,1,10,2,9,1,13,1,9,1,13,2,30,1,8,1,9,1,29,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,29,3,6,1,7,1,13,1,6,2,8,1,13,2,8,2,13,1,8,1,13,1,8,2,13,1,9,1,10,1,11,2,9,1,10,1,9,1,16,1,11,3,16,5,17,1,11,2,9,1,16,1,11,1,17,1,9,1,11,2,9,1,11,2,9,1,11,1,9,1,11,1,16,2,11,1,9,1,11,2,9,1,11,2,9,1,13,1,11,1,9,1,10,2,11,1,9,4,13,1,10,1,13,2,8,1,9,1,8,1,10,1,8,1,9,1,11,3,16,1,11,1,17,1,11,2,17,1,9,1,10,1,9,2,13,1,9,1,10,1,13,1,9,2,11,1,13,1,9,1,13,1,10,1,9,3,11,5,9,1,11,1,16,1,17,3,16,2,17,4,16,1,17,4,9,1,16,1,17,3,12,1,17,1,9,2,24,1,9,1,12,1,13,1,7,1,6,1,8,2,25,1,8,1,24,1,25,1,8,1,12,1,24,2,10,1,24,3,9,1,17,4,12,2,17,4,12,1,17,25,11,1,10,1,12,1,17,3,16,1,10,1,9,1,17,1,11,1,9,1,16,1,17,4,8,1,24,1,8,1,24,2,12,1,10,2,9,1,12,1,11,2,12,1,8,1,12,1,13,2,12,1,17,2,13,1,6,1,29,1,13,1,6,1,30,1,6,1,29,1,28,131,7,1,13,1,7,1,28,108,29,1,28,1,13,1,7,1,29,1,7,1,13,1,7,1,8,1,13,1,6,1,24,1,7,1,8,1,13,1,7,1,8,1,13,1,29,1,8,1,30,1,13,1,30,2,28,1,30,1,29,1,30,3,28,1,6,2,29,1,6,1,7,1,30,1,7,1,30,1,6,1,29,1,30,1,28,1,13,2,8,1,6,1,7,1,8,1,13,2,9,1,13,1,10,1,9,1,13,1,17,4,6,1,30,1,29,1,7,1,13,1,7,1,28,46,30,1,28,1,13,1,30,6,28,6,30,1,28,2,6,1,28,4,30,1,28,1,30,2,28,1,6,3,7,1,6,1,7,1,6,1,29,1,30,1,7,1,6,1,8,1,13,3,7,1,10,1,11,1,12,1,9,1,30,1,28,5,30,1,29,1,30,1,13,1,29,1,6,1,30,1,8,1,13,1,9,1,13,1,24,1,8,1,12,1,10,1,13,1,11,1,17,40,11,1,9,2,8,2,7,1,13,1,7,1,13,5,6,2,13,1,7,1,13,4,10,1,6,1,9,1,13,1,8,2,12,1,24,1,13,1,17,1,8,1,7,1,30,1,28,1,6,1,29,1,28,1,29,2,28,3,30,2,9,2,13,1,11,3,9,2,8,1,10,1,13,1,6,1,30,1,29,1,28,1,7,1,28,1,29,1,6,1,13,1,6,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,11,1,8,1,9,1,11,1,10,1,9,1,11,1,12,1,9,1,12,1,10,1,9,1,17,2,8,1,9,1,17,1,10,1,17,2,11,1,17,1,13,1,12,1,10,1,17,1,9,1,17,1,11,1,9,1,11,2,9,1,11,1,9,1,8,2,9,12,8,1,13,2,9,4,8,1,13,1,9,1,8,2,13,3,8,1,13,1,7,2,8,2,9,1,5,50,28,10,30,1,14,2,17,1,14,1,8,1,13,1,6,1,29,2,28,1,6,1,28,2,13,1,6,1,9,1,10,1,9,1,30,1,28,5,6,1,8,1,13,1,30,1,28,30,29,1,14,1,9,1,13,2,8,1,6,1,13,1,}, {6,1,8,1,17,1,8,1,6,1,28,4,30,1,28,2,30,1,28,24,30,1,28,3,6,1,28,2,9,2,13,1,8,1,9,1,11,1,17,1,16,1,6,1,7,1,6,4,17,2,16,1,13,2,9,1,8,2,13,1,7,1,8,1,9,1,13,1,17,1,11,1,9,3,13,1,8,1,13,1,9,1,11,1,17,1,9,1,13,1,9,1,24,1,8,1,9,1,8,1,16,1,17,3,8,1,9,1,13,1,9,1,24,1,10,1,13,1,28,6,30,1,28,4,6,2,30,1,29,1,30,2,28,5,30,1,28,1,7,1,13,1,24,3,9,2,24,1,29,2,28,4,6,1,8,1,10,1,9,1,24,1,11,1,10,1,24,1,7,1,9,1,8,2,6,2,29,1,6,1,24,1,10,1,17,1,12,1,24,1,6,1,28,4,30,1,28,2,6,1,28,5,6,1,11,2,16,5,9,7,13,1,9,1,13,2,9,1,13,2,9,1,13,1,9,1,13,1,9,1,13,3,9,4,8,1,9,1,13,2,9,1,13,1,9,1,8,1,9,2,6,1,28,27,30,1,28,2,30,1,28,3,6,1,28,110,30,1,28,4,29,1,6,1,28,1,6,1,7,1,28,1,30,1,6,1,28,1,30,1,29,1,30,2,28,105,30,1,28,2,30,2,29,1,13,1,6,1,24,3,9,1,10,1,24,1,10,1,9,1,10,1,11,1,17,1,10,1,17,7,12,1,16,1,17,23,16,1,17,2,16,1,17,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,30,1,13,2,9,2,8,1,13,1,9,4,13,1,9,1,13,1,8,1,13,1,9,1,13,5,9,1,13,1,9,1,13,2,8,1,9,1,13,1,10,1,13,1,7,2,8,1,13,4,9,1,13,3,9,2,13,1,8,1,13,2,9,1,7,1,13,1,8,1,7,1,13,2,6,1,13,1,8,1,6,1,13,3,9,1,28,1,13,2,7,1,13,1,6,1,13,3,9,1,13,1,9,1,13,2,8,1,7,1,13,1,30,1,13,1,8,1,30,1,13,1,30,1,13,1,28,2,13,1,30,1,28,1,6,1,28,1,30,1,28,2,13,1,33,33,5,1,28,2,30,1,28,22,30,1,28,86,30,1,29,1,30,1,29,1,7,1,6,1,13,1,7,1,13,1,8,1,13,1,9,1,5,1,33,11,5,409,9,1,13,4,6,1,30,1,6,2,7,1,6,2,30,1,29,2,7,1,30,1,6,1,13,2,24,1,12,1,17,1,12,1,17,17,12,1,11,1,12,1,17,1,12,2,17,92,12,1,17,1,11,1,12,1,10,1,9,1,11,1,9,1,17,2,9,1,17,2,9,1,11,1,9,1,12,3,9,4,11,1,9,1,12,1,9,2,11,1,10,1,9,1,10,1,9,1,10,1,24,1,9,1,8,1,7,2,13,1,28,2,30,1,29,3,30,2,28,4,30,1,28,3,6,1,28,1,29,1,7,1,13,1,7,1,6,1,13,1,7,1,8,1,13,2,8,2,13,1,9,5,11,1,9,1,11,2,9,2,11,1,16,1,11,1,16,2,11,1,16,3,11,1,10,1,9,2,11,1,17,1,9,1,11,2,9,1,11,2,9,3,13,1,8,1,9,1,11,3,9,1,11,4,8,1,10,1,9,4,11,1,8,1,11,1,9,2,13,2,9,1,13,2,9,1,8,1,9,3,11,1,9,2,11,1,9,1,12,1,9,1,11,1,8,1,11,1,9,1,11,1,10,1,9,1,8,1,9,1,8,1,13,1,8,1,9,4,10,1,9,1,11,1,10,1,9,1,10,1,11,1,16,1,11,1,16,1,17,10,16,1,13,1,16,2,17,2,16,1,17,1,16,1,17,2,11,1,10,1,12,1,8,1,10,1,8,1,10,1,8,1,13,1,8,1,24,2,8,2,6,1,24,1,10,1,9,1,12,3,10,1,9,2,10,1,12,1,17,2,9,1,10,1,11,1,12,1,17,1,11,1,17,1,12,1,17,4,12,1,17,6,16,2,17,5,11,1,16,1,17,6,10,1,11,1,17,4,12,1,17,2,16,1,10,1,16,1,17,3,11,1,8,1,12,1,8,1,9,2,24,1,8,1,24,1,12,1,9,1,17,5,16,1,11,1,16,1,17,1,11,1,9,1,8,1,13,1,9,1,6,2,29,1,6,2,30,1,7,1,28,128,30,1,7,1,28,110,30,1,7,1,13,1,7,1,13,1,24,1,13,2,8,1,13,3,8,1,7,1,8,1,13,1,9,1,13,3,6,1,30,3,28,2,6,1,30,1,6,2,28,2,6,2,29,1,7,1,6,4,13,1,7,1,6,1,13,1,8,1,13,1,9,1,8,3,9,1,12,1,8,1,11,1,9,2,11,1,12,1,10,1,6,1,30,1,28,60,30,2,28,3,30,1,29,1,28,8,30,5,13,1,28,1,13,1,6,3,7,1,6,1,30,1,6,1,13,1,24,1,6,2,7,1,9,1,13,1,17,3,6,1,30,1,28,3,30,1,28,4,6,1,30,1,28,3,6,1,29,1,6,1,29,1,7,1,6,1,8,1,13,3,8,2,9,1,11,1,9,2,11,1,17,3,12,1,17,23,11,1,10,1,9,1,8,1,13,4,8,1,13,1,8,1,9,1,13,1,6,1,9,1,6,2,13,2,8,3,13,3,7,1,13,1,8,3,17,1,9,3,24,1,6,1,9,1,6,1,13,1,6,1,28,2,30,1,13,3,30,1,28,1,8,1,9,1,8,1,10,1,9,2,8,1,9,2,6,1,13,1,29,1,6,1,28,2,13,2,8,1,11,1,9,2,8,4,10,1,12,1,9,3,17,1,10,4,11,1,10,2,9,1,12,1,17,2,12,1,9,1,11,1,12,1,17,1,11,1,10,1,9,1,11,1,10,1,11,1,17,4,12,1,10,1,17,1,12,3,17,1,12,1,17,1,11,1,10,1,12,1,9,1,12,1,9,2,10,1,11,1,9,1,13,1,8,1,9,1,13,1,9,1,8,2,13,1,9,3,13,6,9,1,13,1,8,1,9,2,5,51,28,10,30,1,9,1,14,1,17,1,24,1,7,1,6,3,30,1,28,2,29,1,28,1,29,1,8,2,17,1,8,1,28,6,6,1,24,1,6,1,28,31,6,1,10,1,24,1,9,1,6,1,8,1,7,1,8,1,}, {30,1,24,1,11,1,8,1,29,1,28,30,30,1,28,3,30,1,28,1,30,1,28,2,7,2,13,1,8,2,17,1,14,1,17,1,6,2,30,1,29,1,13,1,29,1,17,2,9,1,13,2,24,1,8,1,10,1,9,1,10,1,13,1,8,2,11,1,12,1,10,1,9,1,8,1,10,1,9,1,8,1,12,1,10,1,12,1,17,1,13,1,8,1,24,1,9,1,11,1,9,1,16,1,17,3,24,1,13,1,8,1,9,1,13,1,11,1,6,1,28,7,6,1,30,2,6,1,28,2,29,1,28,10,6,1,13,2,24,1,8,2,9,1,8,1,30,1,6,1,28,1,30,1,29,1,28,1,30,1,24,1,12,1,10,1,12,1,24,1,11,1,8,1,9,1,8,1,9,1,13,1,6,3,7,1,8,2,10,1,17,1,9,1,6,1,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,2,7,1,11,1,9,1,16,1,11,2,16,1,9,2,11,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,6,1,9,1,13,2,9,2,8,1,6,1,9,1,13,2,9,1,13,1,9,2,13,1,11,1,9,2,8,2,9,2,8,1,9,1,13,1,6,1,28,91,30,1,28,53,30,1,28,1,30,1,6,1,30,1,29,1,30,2,6,1,28,1,29,2,30,1,28,2,30,1,6,1,28,2,30,1,28,103,30,1,28,2,6,3,13,2,9,1,8,1,24,1,9,2,17,1,9,1,11,1,10,1,17,1,11,1,12,1,17,2,12,1,17,3,16,1,17,1,16,1,17,26,9,2,11,1,13,1,8,1,9,1,8,2,9,1,11,1,13,1,9,4,13,1,9,1,8,1,13,2,9,2,13,2,6,1,13,1,9,1,13,3,9,1,13,1,9,2,13,5,8,1,9,1,6,1,13,3,6,2,9,1,13,1,6,1,10,1,13,1,9,2,13,2,8,2,13,1,8,1,13,1,9,1,6,1,13,1,8,1,13,2,9,1,13,2,9,1,13,1,8,1,13,1,6,1,13,1,8,1,13,1,9,1,13,1,8,1,6,1,13,1,7,1,13,4,7,1,13,2,8,1,6,1,8,1,13,4,6,2,30,2,13,1,11,1,6,1,28,1,6,2,28,1,30,2,28,4,30,4,6,2,30,1,13,1,33,3,5,3,33,1,5,1,33,1,5,1,33,10,5,1,13,1,30,1,28,92,6,1,30,1,28,4,30,1,28,6,8,1,9,1,7,1,30,1,29,1,30,1,29,1,6,1,7,1,6,1,13,2,8,2,9,1,8,1,9,1,11,1,5,1,33,15,5,406,13,1,8,1,13,2,6,2,13,2,7,1,30,1,6,1,30,1,6,2,30,1,13,1,6,1,24,1,10,2,17,20,12,2,10,1,12,1,17,3,12,1,17,88,12,1,17,1,11,1,10,1,11,2,12,1,10,1,12,1,17,1,10,1,17,3,9,2,12,1,10,1,11,3,12,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,10,1,9,2,12,2,10,1,9,1,24,1,13,1,8,2,7,1,28,1,30,2,28,1,30,1,28,2,6,1,30,1,28,2,30,1,28,3,30,1,29,2,30,1,6,3,13,1,29,1,13,2,24,1,13,1,8,5,9,2,10,1,9,1,11,3,9,1,11,5,16,3,11,1,16,1,11,1,8,3,11,1,9,2,11,2,9,1,11,1,9,1,10,1,17,1,11,1,9,2,13,1,9,2,8,1,11,2,17,1,9,1,10,1,9,1,10,1,8,1,9,4,10,1,9,1,10,2,13,1,8,1,13,2,9,1,13,1,9,1,8,1,9,3,8,1,9,1,10,1,9,3,10,2,9,1,11,1,9,4,8,4,11,2,9,1,11,1,10,1,9,1,11,1,10,1,16,1,10,1,11,2,9,1,16,1,17,10,16,1,13,1,9,1,10,1,12,1,16,1,17,5,12,1,9,2,11,1,24,1,8,1,7,1,24,1,8,1,7,1,8,1,7,1,24,2,8,2,12,1,17,5,12,1,10,1,11,1,12,1,17,5,9,1,17,3,10,1,17,7,12,1,17,1,12,1,15,1,12,2,10,1,17,4,9,1,24,2,17,6,10,1,17,9,9,1,17,4,9,1,24,2,8,1,10,1,24,1,8,1,9,2,8,1,9,1,17,6,11,1,9,1,12,1,17,1,12,1,9,1,13,3,8,1,13,1,11,1,17,1,9,1,12,1,11,1,28,126,13,1,6,1,30,1,28,111,30,1,13,2,6,1,8,1,7,1,13,2,9,1,13,1,6,1,24,1,13,1,7,1,13,4,7,1,6,1,28,1,6,1,29,1,30,2,29,1,7,1,28,1,6,2,28,1,30,1,7,1,28,1,6,1,28,1,6,1,13,1,30,1,6,1,7,1,29,1,7,1,13,2,8,2,24,1,8,1,24,1,8,1,9,1,11,1,10,1,9,1,12,1,17,1,11,1,8,1,30,2,28,65,30,1,13,1,6,1,29,1,30,2,28,2,30,1,28,1,6,3,29,1,6,1,29,1,6,1,30,1,7,2,6,1,13,1,6,1,7,1,29,1,13,2,6,1,7,1,24,1,8,2,10,1,9,1,17,2,9,1,30,1,28,3,30,3,6,1,30,3,29,1,6,3,28,2,30,1,6,1,28,3,6,1,29,1,28,1,6,1,30,3,13,1,29,1,6,1,7,1,13,2,8,4,10,1,11,1,17,14,11,1,8,2,13,3,8,2,9,1,13,5,6,1,13,1,6,1,30,1,7,1,6,1,13,1,28,1,30,1,29,1,30,1,13,1,6,1,13,2,8,2,11,1,12,1,17,2,10,3,8,1,13,1,30,1,28,2,6,1,30,2,28,2,6,1,9,1,12,1,13,1,10,1,9,3,13,2,6,1,28,1,30,1,13,3,9,4,8,1,9,3,10,1,12,1,8,1,11,5,17,1,11,1,9,1,12,1,17,1,10,1,12,2,17,3,11,1,17,1,11,2,17,2,10,1,17,1,12,1,11,1,17,18,12,1,17,2,9,1,12,1,11,1,10,1,11,2,13,1,9,4,8,1,11,1,9,4,8,1,9,2,13,4,5,52,28,10,30,1,17,2,12,1,9,1,13,2,29,2,30,3,28,3,6,1,10,1,24,1,13,1,28,6,13,1,8,1,28,4,30,1,28,27,6,1,17,2,9,1,13,1,24,2,11,1,}, {29,1,24,1,10,1,7,1,30,1,28,1,30,1,28,28,30,1,28,4,6,1,30,1,29,1,13,1,8,1,13,2,8,1,9,1,10,1,14,1,11,1,30,2,28,1,6,2,28,1,17,2,16,1,8,1,9,2,8,1,9,2,24,1,9,2,8,1,16,1,17,1,10,1,8,2,9,1,8,1,12,1,9,1,17,1,12,1,9,2,8,1,9,1,10,1,11,1,9,1,17,3,12,1,16,1,11,1,8,4,24,1,28,6,30,1,29,1,28,3,30,1,28,11,29,2,8,2,24,1,8,1,12,1,15,1,24,1,29,1,28,2,30,2,7,1,28,1,13,2,17,2,12,1,11,2,8,3,13,1,6,1,13,1,30,1,8,1,13,1,10,1,17,1,15,1,24,1,29,1,30,1,29,1,28,2,29,1,28,1,30,1,28,7,9,1,16,2,11,1,16,2,11,2,9,1,13,2,9,1,13,1,8,1,13,1,6,1,9,2,13,1,9,1,13,1,9,1,13,1,9,2,13,3,8,1,13,3,9,2,11,1,9,2,13,1,9,4,13,1,6,1,28,146,6,1,28,1,29,1,28,2,6,1,30,2,28,2,6,1,28,1,29,1,30,1,29,1,28,2,30,1,28,100,30,1,28,1,30,1,28,1,30,1,6,1,29,1,8,1,6,2,13,1,24,1,9,1,13,1,12,1,9,5,8,1,17,1,9,1,11,2,17,1,16,1,17,1,10,1,16,2,17,1,16,2,17,25,9,1,8,1,9,1,13,1,11,1,13,1,9,2,13,1,9,2,11,1,9,1,13,1,11,2,8,1,11,1,10,1,8,1,9,2,8,1,16,1,13,3,8,1,13,1,30,1,13,3,6,1,13,3,6,1,13,3,9,1,13,3,6,1,13,3,9,1,13,1,8,1,13,1,8,2,9,1,13,3,7,1,13,2,7,4,6,1,8,3,13,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,16,1,8,1,6,1,8,1,9,1,13,4,7,1,13,1,6,1,13,2,6,1,13,6,8,1,13,2,6,1,13,1,30,1,13,1,8,1,13,1,7,1,13,2,6,2,30,1,13,1,30,2,6,4,13,1,30,1,6,1,33,1,13,2,33,1,28,1,33,4,5,1,33,3,5,1,33,3,6,1,28,95,30,3,28,2,30,1,28,5,29,1,30,1,28,2,6,1,7,1,29,1,7,1,29,1,6,1,7,1,13,1,7,1,8,1,13,1,8,1,9,3,33,18,5,404,9,1,13,3,7,1,29,1,30,1,7,1,6,3,30,2,29,2,7,1,6,1,29,1,12,1,7,1,12,1,17,1,12,2,17,14,12,1,11,1,17,2,12,1,17,3,12,1,17,89,12,1,10,1,11,4,9,2,17,1,10,1,17,1,11,1,9,2,10,1,12,1,9,1,10,1,8,2,11,1,9,2,8,1,9,2,8,1,9,1,8,1,12,1,17,1,10,1,12,1,10,1,12,1,24,1,6,1,8,1,12,1,30,1,28,6,30,1,28,1,29,1,28,2,29,1,28,5,30,1,6,2,13,1,6,1,13,1,8,1,6,1,24,1,7,1,8,3,13,1,9,1,13,1,9,4,11,2,10,1,11,2,9,1,11,3,9,1,17,2,16,2,17,1,9,1,8,1,7,1,8,1,9,1,13,3,16,1,9,2,10,2,17,1,11,1,9,1,8,1,13,1,9,3,11,1,9,1,11,3,9,3,11,1,9,1,8,1,9,1,11,2,13,2,7,1,13,4,7,1,8,1,13,1,8,1,13,1,10,1,9,3,10,1,9,1,10,1,11,1,9,1,11,1,9,6,8,2,11,1,9,3,11,4,9,2,11,1,8,1,9,1,17,12,16,1,9,1,10,1,9,2,11,1,17,4,10,1,9,1,11,1,9,1,10,1,8,2,24,3,8,1,9,1,13,1,12,1,13,1,9,1,17,2,12,1,11,1,12,1,17,4,10,1,12,3,17,11,12,1,17,4,12,1,15,1,14,1,9,1,15,2,10,1,11,1,17,2,10,1,9,1,12,1,17,2,12,1,17,4,12,1,17,8,8,1,9,1,17,3,9,1,7,1,24,2,8,1,24,1,10,2,9,1,10,1,17,7,8,2,10,1,17,1,9,1,13,1,9,1,7,1,9,1,17,1,13,1,9,1,11,1,9,2,6,1,30,1,28,125,29,1,28,113,30,1,29,2,7,1,13,2,8,1,24,1,13,1,8,1,13,1,6,1,8,3,7,1,13,2,6,1,13,2,7,1,28,1,6,1,29,1,30,2,28,2,29,1,30,1,28,2,30,2,6,2,13,1,30,1,13,1,6,1,30,1,8,1,6,2,9,1,13,1,8,2,9,4,11,2,17,1,9,1,11,1,9,2,13,1,29,1,6,1,28,66,6,2,30,2,6,1,30,1,28,1,30,1,28,1,30,1,6,4,28,1,7,1,13,1,6,2,30,1,13,1,6,2,29,1,7,1,6,2,24,1,13,1,24,1,11,2,9,1,8,1,17,1,9,1,6,1,30,1,28,1,30,3,6,1,30,1,6,1,30,2,6,3,30,1,6,1,28,1,30,2,6,1,30,1,28,2,30,2,6,1,29,1,6,1,28,1,6,1,28,1,30,1,7,1,29,1,30,2,6,1,7,1,8,1,6,1,28,1,6,1,8,1,9,2,8,1,13,1,11,1,12,1,11,2,9,1,11,1,9,1,8,1,9,1,8,1,13,1,9,1,8,3,13,1,9,1,13,1,8,1,9,1,13,1,8,1,13,2,7,1,8,1,6,1,29,1,13,1,29,1,13,2,7,1,13,1,9,1,13,1,8,1,10,1,17,4,10,1,7,1,30,2,28,5,30,1,28,3,9,1,11,1,8,1,9,2,28,1,30,1,13,2,8,1,9,1,11,1,9,2,10,1,17,1,11,1,10,1,8,1,9,2,10,1,9,1,11,1,17,1,10,1,12,1,11,2,12,1,17,1,11,1,17,1,12,1,10,1,11,2,10,1,17,1,12,2,11,1,10,1,9,2,17,1,10,1,11,1,17,22,11,1,17,3,11,1,17,7,11,1,12,1,8,1,9,1,10,1,9,5,8,2,9,1,11,1,5,53,28,10,13,1,9,1,17,1,10,1,8,1,7,1,13,1,6,1,29,1,28,5,6,1,8,1,12,1,9,1,6,1,28,6,13,1,10,1,28,3,29,1,28,28,9,1,11,1,9,1,24,1,13,1,8,2,9,1,}, {13,2,15,1,6,1,28,37,6,1,29,1,7,1,29,1,7,1,13,1,8,1,13,1,12,1,17,1,12,1,13,1,29,2,30,1,29,1,28,1,17,2,8,2,13,1,24,1,15,1,9,1,10,1,24,1,6,1,7,1,9,1,12,1,11,1,13,2,8,2,13,2,7,1,17,2,11,1,12,1,9,3,11,1,10,1,9,1,17,2,12,1,8,2,6,1,13,1,9,1,11,1,6,1,28,3,29,1,28,1,30,2,28,2,30,1,29,1,28,2,30,1,6,2,28,7,30,1,6,2,9,1,24,1,8,1,9,1,24,1,8,1,30,1,29,1,28,1,30,1,28,1,6,1,30,1,8,1,12,2,17,1,11,1,12,1,10,1,9,1,13,2,7,1,8,1,6,2,13,1,24,1,9,1,11,1,17,1,8,1,6,1,30,1,28,2,29,1,30,1,29,1,30,1,28,4,30,1,28,2,9,1,16,1,9,1,16,3,11,1,9,1,8,1,9,4,13,2,9,4,13,2,11,1,9,1,13,5,8,1,13,3,9,1,8,1,11,1,9,1,13,1,9,2,13,1,8,1,9,1,11,1,30,1,28,94,30,1,28,54,30,1,28,1,30,3,28,3,6,1,30,2,29,1,6,1,29,1,28,2,30,1,28,104,30,1,29,1,13,1,8,2,9,1,24,1,10,1,8,2,9,1,12,1,8,1,9,1,17,2,11,1,17,3,12,1,17,3,9,1,16,1,17,11,11,1,17,12,11,1,17,1,16,2,13,1,9,1,8,1,16,1,9,1,8,1,9,1,13,2,9,2,11,1,9,2,8,1,9,2,11,1,9,2,11,1,9,1,8,1,9,1,11,1,8,2,9,4,13,4,8,1,9,1,13,1,9,3,13,3,8,1,13,3,8,1,13,3,9,1,13,1,9,2,13,1,8,1,13,3,6,1,7,1,13,2,6,1,8,2,13,2,8,1,13,1,8,2,9,1,13,1,11,1,9,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,6,1,9,1,13,1,6,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,30,2,13,1,30,1,7,1,13,3,6,1,13,4,6,1,13,2,6,1,9,2,13,3,9,1,13,2,6,2,30,1,6,1,9,1,28,1,6,1,30,1,28,1,6,1,13,3,28,1,30,1,9,1,13,2,28,94,30,1,28,4,30,1,6,1,30,1,29,1,30,2,28,1,30,1,28,2,6,1,28,1,6,2,30,1,29,1,6,1,13,2,30,1,6,1,8,1,13,1,24,1,13,1,11,2,33,21,5,1,33,2,5,399,13,2,9,1,6,1,13,2,7,1,6,1,29,1,6,1,30,1,29,1,6,1,13,1,6,1,13,1,30,1,24,3,12,1,17,17,12,1,17,1,11,1,12,1,17,3,12,1,17,2,12,1,17,87,10,1,17,1,11,1,10,2,9,1,17,1,11,2,12,1,11,1,10,1,9,1,11,1,10,1,13,1,11,3,10,1,9,1,11,1,9,2,8,1,17,1,9,1,8,1,10,2,12,1,10,1,24,1,9,1,24,1,8,1,17,1,28,1,30,2,28,3,30,1,28,2,30,1,29,1,28,2,30,1,28,1,30,4,29,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,24,1,13,1,9,1,13,2,9,3,13,1,9,1,10,1,11,1,10,1,11,4,9,1,10,1,17,1,16,2,11,1,16,1,11,1,17,1,11,1,8,1,6,1,13,4,29,1,13,1,16,1,11,1,9,2,10,1,16,1,11,1,9,2,13,2,9,1,11,2,9,2,11,2,9,1,11,1,9,5,11,2,13,3,9,1,8,3,13,1,9,3,8,1,9,1,13,1,17,1,13,1,10,1,9,1,8,1,9,1,10,1,9,1,11,1,10,1,8,1,9,3,8,1,13,1,9,3,11,2,10,1,9,1,11,1,10,1,11,1,9,1,13,1,16,1,17,10,11,1,9,4,17,1,10,1,17,1,12,1,17,4,24,1,12,1,9,1,10,1,9,1,24,1,13,1,9,1,8,1,24,1,12,1,9,1,12,1,9,1,17,3,12,1,9,1,10,1,9,1,10,1,17,2,12,1,8,1,17,14,12,1,17,7,12,1,17,5,10,1,12,1,9,1,13,1,12,1,17,4,11,1,17,1,9,1,17,8,12,1,17,5,10,1,24,1,10,1,17,2,12,1,11,1,16,1,17,7,11,1,12,1,11,1,9,1,10,1,13,3,6,1,8,1,17,1,12,1,17,1,12,1,13,1,10,1,9,1,28,1,30,1,28,5,29,1,28,115,30,1,28,1,13,1,28,113,30,1,6,3,13,1,8,1,10,1,13,3,8,1,13,1,8,1,13,4,7,1,13,1,7,1,6,1,29,1,13,1,7,1,30,1,6,1,30,1,29,1,30,1,28,1,29,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,7,3,13,3,8,1,13,1,8,2,9,1,12,1,10,2,16,1,9,1,16,1,10,1,9,1,13,1,24,1,13,1,7,1,8,1,28,68,30,1,28,1,6,1,13,1,28,1,30,1,28,1,29,1,6,2,7,1,29,1,7,1,13,1,7,1,13,3,6,1,7,1,13,1,6,2,13,1,7,1,6,1,13,2,8,1,13,1,8,1,9,1,11,1,12,1,17,1,10,1,8,1,7,2,6,2,30,3,6,2,28,1,6,1,30,1,6,3,30,1,7,1,30,1,6,2,30,1,28,1,30,1,6,2,30,1,6,2,29,1,6,4,13,3,9,1,8,1,9,1,8,2,11,1,8,3,9,1,12,1,10,1,11,1,9,1,13,1,11,1,13,1,12,1,11,1,10,1,13,1,7,1,9,2,13,2,9,1,11,1,13,1,9,1,8,2,9,2,13,2,8,1,13,3,7,1,9,1,13,1,8,1,13,1,12,1,9,1,12,1,10,1,8,1,13,2,6,1,28,7,30,2,13,1,9,2,11,1,8,1,13,5,10,1,13,1,9,1,8,1,9,2,13,1,11,1,9,2,8,1,17,1,11,1,10,1,17,1,8,1,17,2,12,2,9,1,12,1,11,1,17,1,10,1,11,1,9,1,11,2,17,1,11,1,9,1,17,1,11,1,17,1,10,2,11,1,12,1,10,1,17,2,11,2,17,9,12,1,17,4,12,1,17,19,11,1,9,1,11,4,9,1,5,55,28,9,30,1,6,1,24,1,10,2,8,1,13,1,6,2,30,1,29,1,30,1,28,2,7,1,13,1,24,1,8,1,24,1,8,1,28,6,29,1,9,1,28,1,29,1,28,2,30,1,28,27,13,1,10,1,9,1,13,1,24,1,8,1,13,1,9,1,}, {6,1,24,1,14,1,13,1,28,29,30,1,28,4,30,1,28,1,30,1,28,1,6,1,28,1,13,2,8,1,13,2,17,3,8,1,28,2,6,2,30,1,8,1,17,1,13,1,10,1,9,3,13,1,8,1,13,1,9,1,13,2,17,1,12,1,9,1,30,1,13,5,10,1,17,1,12,2,11,1,9,1,10,2,12,1,9,1,17,1,11,1,16,1,9,3,12,1,8,1,9,1,13,1,28,10,6,1,28,1,30,1,28,10,30,1,13,1,8,1,12,1,9,3,24,1,13,1,6,1,30,1,28,1,29,1,30,1,29,1,6,2,15,1,17,1,12,2,11,1,10,1,8,1,9,1,6,1,8,1,13,1,6,1,13,1,8,2,9,1,15,1,9,2,30,1,28,1,29,1,28,2,29,1,28,2,30,1,28,3,30,1,28,1,29,1,9,1,11,1,9,1,16,1,9,2,16,1,9,1,11,1,9,3,16,1,9,3,13,1,9,3,8,1,16,1,9,2,11,1,9,2,13,1,8,1,9,1,13,2,9,2,11,1,9,1,11,1,9,2,13,1,9,1,8,1,9,1,30,1,28,150,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,30,1,29,1,30,1,29,1,28,47,30,1,28,55,30,2,29,1,6,1,8,1,24,1,13,1,24,1,13,1,24,4,12,1,13,1,9,2,8,1,9,1,12,1,9,1,17,2,11,1,17,7,16,1,17,10,11,1,17,12,11,3,8,1,9,2,8,1,9,1,13,1,9,1,13,2,11,4,9,3,13,1,9,2,13,1,8,2,13,2,30,1,13,3,9,1,8,1,13,2,9,1,13,1,9,1,8,1,13,2,9,1,8,1,6,1,8,1,9,1,8,1,13,2,9,1,13,1,9,2,13,1,8,1,9,1,8,1,13,1,11,1,9,1,8,1,13,1,8,1,13,2,9,1,13,5,8,1,13,2,6,1,13,2,8,1,9,1,8,1,13,1,8,2,13,2,9,1,7,1,13,1,9,1,13,1,9,3,13,1,8,1,6,1,8,1,13,1,6,1,8,1,13,3,9,1,13,1,11,1,9,1,13,4,8,1,13,2,8,2,13,1,9,2,13,1,8,1,11,1,13,1,10,2,13,3,9,1,13,2,6,1,13,7,6,1,30,1,13,2,28,99,6,1,29,1,28,4,29,1,6,1,30,2,6,1,29,2,28,1,29,1,13,1,6,1,30,1,8,1,7,1,6,1,24,1,13,1,24,1,8,1,13,1,8,2,9,1,33,25,5,398,13,4,6,1,13,1,6,1,7,1,29,2,7,1,29,1,6,1,7,1,6,1,7,1,29,1,7,1,24,1,9,1,11,1,9,1,17,18,12,1,17,1,9,1,12,1,17,1,11,1,12,1,17,1,12,1,17,82,12,1,17,1,12,1,11,1,10,1,12,1,11,1,10,2,9,1,13,1,11,2,10,1,9,3,11,1,10,2,12,2,10,1,12,1,10,1,11,1,9,2,8,1,9,1,12,1,11,1,12,3,17,1,24,1,9,1,13,2,17,1,7,1,28,4,30,1,28,5,30,1,28,1,30,2,6,1,29,1,28,1,30,1,29,1,6,1,13,1,7,1,13,2,6,1,13,3,8,7,10,1,16,2,9,1,11,1,17,1,11,1,17,1,9,1,16,1,11,2,16,2,11,2,16,1,11,1,16,1,9,1,8,1,6,1,13,2,8,1,30,1,28,1,9,1,17,1,13,1,9,1,11,1,9,1,17,1,9,1,6,1,8,1,9,1,13,1,9,2,10,2,8,1,9,2,11,1,10,1,9,3,11,2,10,1,6,1,13,2,8,1,7,1,13,2,8,1,9,1,8,1,9,1,8,1,10,1,9,1,12,1,11,1,12,1,11,1,9,1,10,1,9,1,8,1,9,5,10,1,8,2,9,1,13,1,9,3,11,1,8,2,9,1,13,3,17,2,16,1,17,5,16,1,17,2,9,1,10,1,11,1,8,1,11,1,17,1,9,1,16,1,17,1,11,2,17,2,24,1,10,1,17,1,9,3,17,1,9,2,17,9,12,2,11,2,17,1,12,1,17,1,12,1,17,22,12,1,17,6,24,2,8,2,17,4,24,1,12,1,10,1,17,29,11,1,8,2,13,1,8,1,9,1,24,1,13,1,9,1,8,1,17,1,10,1,17,1,9,1,13,1,6,1,8,1,9,1,6,1,28,121,30,1,29,1,7,1,28,114,6,2,7,1,13,1,6,1,8,1,13,1,9,2,8,1,12,1,7,1,8,1,13,2,9,1,6,1,7,1,13,2,8,1,7,1,30,1,6,1,7,1,6,2,30,1,28,1,29,1,28,2,30,1,28,1,30,1,6,2,8,1,6,1,13,1,6,1,8,4,24,1,9,1,8,1,9,1,11,1,9,1,11,1,17,1,9,1,12,1,11,2,9,1,11,1,8,1,9,1,13,1,24,1,6,1,13,1,28,67,30,1,28,1,6,1,13,2,6,1,13,1,29,1,6,1,13,1,28,1,29,1,6,2,13,1,6,2,29,1,6,1,29,1,6,1,13,1,6,2,13,1,8,1,13,2,8,1,13,1,9,1,8,1,12,1,11,1,17,4,9,1,30,1,9,1,13,4,8,1,29,1,7,1,6,1,13,1,7,1,13,1,30,1,13,1,30,1,6,1,30,1,28,1,30,1,6,1,28,1,6,1,30,1,7,2,6,1,13,1,30,1,13,1,6,1,13,1,8,1,13,1,9,1,11,1,8,2,10,1,9,1,10,1,12,1,11,1,10,1,11,1,9,1,10,1,11,1,8,1,10,1,9,1,11,1,9,1,10,1,8,1,11,1,13,1,9,2,12,1,11,1,12,1,11,1,17,1,11,1,12,1,17,1,12,1,11,2,8,1,12,1,17,1,9,1,11,1,9,4,8,1,29,2,13,1,28,10,6,1,9,1,17,1,11,1,13,1,9,1,13,2,9,2,13,2,9,1,8,1,9,3,11,1,9,1,12,1,10,1,9,2,11,2,17,1,9,1,11,2,8,1,12,1,11,1,8,1,11,1,12,1,9,1,10,1,11,1,10,1,12,3,17,1,11,1,12,1,8,1,10,3,9,1,11,1,17,1,9,1,17,1,12,1,17,1,10,1,12,1,17,6,11,1,17,28,11,2,5,56,28,10,13,1,9,1,11,1,8,1,9,1,7,1,6,1,13,1,28,1,30,2,28,1,30,1,7,1,13,1,9,2,8,1,6,1,28,6,8,1,13,1,29,1,28,3,30,1,28,27,9,1,17,1,8,3,7,1,6,1,9,1,}, {8,1,13,1,15,1,10,1,28,14,6,1,28,23,6,3,13,1,8,1,13,2,11,1,17,2,13,1,28,2,6,1,29,2,9,1,17,2,11,1,12,1,15,1,8,1,24,2,8,2,24,1,9,1,15,1,17,1,10,1,6,1,24,1,6,2,24,1,8,1,9,1,16,1,12,1,11,1,9,1,24,1,9,1,8,1,9,2,12,1,16,1,12,1,9,1,8,2,10,1,13,1,11,1,13,1,28,14,30,3,28,6,6,2,24,1,8,1,24,1,8,1,24,1,9,1,13,1,6,1,28,1,6,1,28,1,29,1,7,1,6,1,7,1,15,1,17,1,15,1,12,1,9,1,15,1,8,2,13,2,29,1,13,1,7,2,8,2,15,2,9,1,30,1,28,2,29,1,28,4,30,1,28,5,6,1,13,1,17,1,10,1,11,1,10,1,9,1,11,2,16,1,8,1,13,2,9,1,13,1,8,1,13,1,9,1,13,1,9,5,13,1,9,1,6,1,9,1,13,3,6,1,9,3,16,1,11,1,9,2,13,3,17,1,13,1,29,1,28,151,30,1,28,3,6,1,28,1,29,1,6,1,29,1,6,1,30,2,28,1,6,1,28,2,30,1,28,98,30,1,28,2,24,1,7,1,6,1,12,1,7,1,24,1,8,1,10,1,8,1,24,4,9,4,12,1,11,1,17,4,11,1,17,3,16,1,17,9,12,1,17,1,11,1,17,1,12,1,17,10,16,2,9,1,11,3,8,1,9,2,16,1,9,1,11,1,9,1,16,1,9,3,6,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,8,1,13,1,8,1,13,3,9,1,7,1,9,1,13,4,9,3,8,1,13,2,9,1,13,4,6,1,9,1,8,2,13,1,8,1,9,1,13,1,9,2,11,1,13,1,8,4,9,1,13,2,8,1,13,1,8,1,9,1,13,1,8,1,13,3,6,1,13,2,7,1,8,1,7,1,8,1,9,1,13,1,7,1,9,1,13,3,9,1,13,1,8,1,13,2,7,1,13,3,7,2,13,1,16,1,13,1,9,1,8,3,13,1,7,1,13,1,8,1,13,1,8,1,6,1,13,1,7,1,9,2,8,1,9,2,13,1,9,2,8,1,9,1,8,1,13,1,6,1,13,4,8,1,13,4,28,94,29,1,28,3,30,1,29,1,30,1,7,1,28,1,13,2,30,1,29,1,28,1,30,3,29,1,30,2,29,1,6,1,13,1,30,1,6,1,8,2,13,1,6,1,8,1,9,1,7,1,9,1,10,1,9,1,33,28,5,395,9,1,13,2,9,1,13,1,7,1,8,1,6,2,29,1,6,1,29,1,6,2,29,1,13,3,8,1,9,2,17,1,12,1,17,16,11,1,9,2,17,1,9,1,11,1,12,1,17,1,12,2,17,85,12,1,17,1,11,1,8,1,9,1,13,1,9,1,12,1,17,1,11,1,10,2,12,1,24,1,10,2,17,1,11,1,12,1,9,2,10,2,13,1,10,1,9,2,10,1,8,1,17,2,9,1,12,1,6,1,7,2,12,1,13,1,28,2,29,1,28,8,30,2,28,1,30,2,29,1,28,1,29,1,7,1,13,1,6,1,7,1,8,1,13,2,7,1,13,1,8,1,9,1,8,3,9,3,11,1,10,1,11,4,9,2,11,1,16,1,9,1,11,1,17,1,11,1,16,1,11,1,16,1,10,1,11,1,13,1,9,1,6,1,30,1,7,1,6,1,7,1,30,1,6,1,13,1,11,1,9,1,11,1,8,1,9,2,8,1,10,1,9,2,11,1,9,1,10,1,11,1,8,1,10,1,8,1,9,1,11,1,9,4,17,1,9,1,13,1,8,1,13,3,9,1,8,1,24,1,9,1,12,1,8,2,9,2,12,1,11,1,9,1,11,1,8,1,11,3,8,1,9,2,8,1,9,2,11,1,8,1,9,2,11,1,9,3,13,1,9,1,6,1,13,2,17,4,11,1,17,7,9,1,17,9,8,1,17,2,9,1,12,1,11,1,17,1,12,1,11,2,17,20,11,1,12,1,8,1,17,1,24,1,10,1,17,6,10,1,17,1,12,1,17,3,10,1,17,9,13,1,8,2,7,1,13,1,9,2,10,2,9,2,17,17,15,1,12,2,13,1,24,1,12,1,17,1,12,1,17,5,16,2,13,3,10,1,13,1,11,1,10,1,11,1,17,2,9,1,13,1,30,1,29,1,7,1,6,1,28,120,6,1,8,1,13,1,28,115,30,1,6,2,7,1,13,2,8,1,9,1,8,3,13,1,7,1,13,1,8,1,13,1,7,1,8,1,13,3,7,1,6,1,7,2,29,2,6,3,29,1,6,1,7,1,13,1,6,2,13,1,6,2,13,2,8,1,6,1,9,2,13,1,9,1,10,2,9,1,11,1,12,1,9,1,8,1,9,2,11,1,9,1,13,1,9,1,8,1,9,1,7,1,6,1,7,1,28,1,30,1,29,1,28,70,8,1,6,1,7,1,9,1,29,1,13,1,6,1,8,1,7,1,6,1,7,1,13,1,6,1,7,2,6,2,13,2,6,1,13,1,8,1,9,2,13,1,11,1,8,1,9,1,11,2,17,4,13,1,9,2,13,3,10,1,13,1,8,2,13,1,8,1,9,1,8,1,13,4,6,2,13,1,7,1,13,3,7,1,13,1,6,1,13,1,9,1,13,1,8,2,13,1,9,1,8,1,13,1,11,1,10,1,11,2,9,1,11,1,9,1,11,1,9,1,8,1,9,2,10,1,9,2,8,1,13,1,11,1,10,1,9,2,10,1,11,1,12,1,11,2,9,1,11,1,10,1,12,2,17,1,9,1,11,3,10,1,9,1,13,1,6,1,30,1,28,13,29,1,13,1,8,1,9,1,8,2,9,1,8,1,9,1,13,1,8,1,11,1,9,3,8,1,11,1,9,1,8,1,10,1,8,1,13,1,9,1,8,1,11,1,13,1,7,1,8,1,9,1,13,2,12,1,9,2,10,1,9,3,17,1,12,1,11,1,9,1,12,1,17,1,11,2,17,1,12,1,9,1,11,2,17,1,10,1,9,1,10,1,11,3,9,1,11,1,12,1,17,1,12,1,11,1,17,1,11,1,10,1,11,3,17,1,11,1,17,5,11,1,17,13,16,4,5,57,28,10,6,1,10,1,16,1,9,1,7,1,13,1,29,2,28,3,30,1,7,1,6,1,8,1,7,1,8,1,12,1,13,1,28,6,6,1,24,1,30,1,28,31,13,1,17,1,8,1,13,1,6,1,24,1,13,1,8,1,}, {29,1,13,1,14,1,8,1,30,1,28,1,30,1,28,15,29,1,28,18,30,1,13,1,29,1,28,1,13,4,24,1,17,2,9,1,30,1,28,1,30,2,6,1,8,1,17,1,9,1,16,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,24,1,17,1,8,1,13,1,30,1,8,1,13,1,8,1,13,1,9,1,17,1,9,1,10,2,13,1,9,1,8,2,11,1,9,1,12,1,10,1,8,1,9,2,8,1,13,1,10,1,13,1,28,13,6,1,30,1,28,8,29,1,13,1,8,1,13,1,7,1,8,3,9,1,13,1,28,2,29,2,28,2,13,1,12,1,14,1,15,1,9,1,24,1,8,2,9,1,8,1,13,1,8,1,13,1,7,1,24,1,9,1,8,1,14,1,12,1,9,1,30,2,28,1,30,1,28,6,30,1,28,4,7,1,16,1,9,1,16,1,11,1,9,6,16,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,2,9,1,16,1,13,3,8,1,13,2,9,1,13,2,9,1,13,1,11,1,13,1,9,2,8,1,13,1,11,1,8,1,28,160,30,1,6,1,29,1,6,1,30,1,28,98,29,1,28,2,30,1,7,1,30,1,29,1,7,1,13,1,7,2,8,2,13,1,24,1,9,1,24,1,8,1,10,1,8,1,9,1,8,1,24,1,12,1,10,1,17,2,12,1,17,1,12,1,17,1,16,1,17,27,9,1,11,2,10,1,8,1,11,1,9,1,16,1,11,3,9,2,8,1,11,1,9,2,10,1,9,2,13,2,11,1,13,1,16,1,8,1,9,1,13,1,6,1,13,1,9,1,8,1,13,2,9,1,13,2,9,1,13,1,6,1,13,1,9,1,6,1,13,1,8,1,13,1,8,1,13,1,8,1,9,4,8,1,9,1,13,1,9,1,8,1,9,1,10,1,13,2,8,1,13,1,8,1,9,1,13,3,10,1,9,2,8,2,9,2,8,1,10,1,8,2,9,2,6,1,9,1,6,1,13,2,6,1,9,1,13,2,8,1,13,1,9,1,13,2,9,1,13,4,8,1,13,3,12,1,11,1,9,1,8,1,9,1,13,1,9,2,13,1,9,1,13,1,6,1,9,1,13,2,9,1,8,1,13,1,9,1,6,1,13,2,9,1,8,1,13,1,8,2,13,2,9,1,13,2,9,1,13,1,6,2,28,1,6,1,28,90,30,1,28,5,30,1,28,1,29,2,30,1,6,5,30,2,6,1,30,1,6,1,29,1,6,2,29,1,7,1,6,1,8,3,6,1,13,2,8,2,24,1,13,1,9,1,33,33,5,391,13,6,7,1,6,1,29,1,30,1,13,1,7,1,29,1,6,1,13,1,6,1,30,1,7,1,12,1,24,1,10,2,17,17,11,1,12,2,11,1,12,1,17,2,11,1,17,84,12,1,17,1,12,2,13,1,9,1,8,1,10,2,9,1,11,1,24,1,11,1,8,1,10,1,9,1,17,1,12,1,9,1,10,1,9,1,11,1,10,1,8,1,9,3,13,1,10,1,12,1,17,4,13,1,28,1,7,1,24,1,12,1,28,4,30,1,28,3,30,1,28,3,30,1,29,1,28,1,30,2,29,1,6,1,7,1,29,1,7,1,6,1,7,1,8,1,7,1,13,1,8,1,7,1,8,2,9,3,16,1,8,1,9,1,11,2,10,1,16,1,11,2,9,1,11,2,16,1,11,1,17,1,9,1,11,3,16,1,9,2,11,1,8,1,6,1,13,1,8,1,13,2,30,1,8,2,13,2,10,1,13,2,8,1,9,3,11,3,8,1,9,1,8,1,10,1,9,1,10,1,9,2,13,1,9,2,11,1,9,1,13,3,7,1,8,2,13,1,8,2,9,1,8,1,13,1,11,1,9,2,8,1,10,1,11,1,9,2,8,1,9,1,11,1,10,1,9,1,8,1,9,2,10,2,9,1,8,2,9,1,8,1,9,2,13,2,9,1,16,2,11,1,17,12,9,1,11,1,17,1,16,1,17,3,12,1,8,1,17,1,9,2,8,1,9,1,17,2,11,1,17,16,12,1,17,4,9,1,17,1,13,1,9,1,12,3,17,1,12,2,9,1,17,1,12,1,17,3,12,1,17,12,13,1,8,1,9,1,13,2,8,2,24,1,11,2,17,16,10,1,9,1,24,2,8,2,24,1,11,1,9,1,12,1,11,1,17,2,16,1,12,1,9,2,8,1,11,1,10,1,13,1,12,1,17,2,10,1,17,1,11,1,13,1,30,1,6,1,13,1,8,1,28,120,13,2,9,1,28,114,30,1,28,1,6,1,30,1,13,1,29,1,7,1,6,1,9,1,24,1,8,3,6,1,8,2,7,1,8,1,7,1,6,1,13,2,6,1,13,1,6,1,13,1,7,2,24,1,7,1,29,1,6,1,7,1,6,1,28,2,6,2,8,2,7,1,8,1,13,2,24,1,8,2,9,1,12,1,13,1,12,1,11,1,9,1,10,1,12,1,9,1,11,1,9,4,8,1,9,1,8,1,13,1,8,1,6,1,29,1,30,1,28,1,30,1,28,2,30,1,28,65,6,1,13,1,8,1,13,3,6,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,7,3,13,1,28,1,6,2,13,2,9,1,13,1,9,1,7,1,9,1,10,1,8,1,9,1,17,4,9,1,13,8,8,2,11,1,7,1,8,1,9,1,8,1,9,5,13,1,8,1,13,4,8,1,13,2,8,1,13,2,9,1,13,1,9,1,8,1,9,4,8,2,11,1,9,3,11,1,9,1,8,2,12,1,9,1,13,1,9,1,8,1,9,2,10,1,11,1,9,1,11,2,9,1,12,1,11,2,17,1,9,1,11,1,10,1,9,1,13,1,30,1,28,2,30,1,28,1,30,1,28,7,30,1,28,1,6,1,13,2,12,1,11,1,8,1,9,3,13,1,9,1,13,2,10,1,13,1,11,1,13,1,8,2,13,1,8,1,13,5,6,1,7,1,13,1,7,1,13,2,8,1,9,1,8,1,10,1,9,2,11,1,17,1,12,1,11,2,9,1,12,1,17,1,11,1,17,1,11,1,9,2,8,2,11,1,17,1,8,1,17,1,9,2,17,1,11,1,17,1,12,3,11,3,10,1,17,2,11,1,12,1,17,1,11,1,17,2,11,1,17,1,11,1,17,12,16,1,11,1,5,60,28,10,30,1,14,1,17,1,16,1,13,1,30,1,6,1,29,1,30,1,28,1,30,1,28,1,29,1,30,1,13,2,8,1,24,1,13,1,28,6,24,1,8,1,30,2,28,30,9,1,15,1,12,1,6,1,29,1,8,1,13,1,24,1,}, {7,1,13,1,11,1,10,1,6,1,28,8,30,1,28,27,30,1,6,2,7,2,13,1,29,1,13,1,9,1,17,2,8,1,30,1,6,3,13,1,8,1,17,1,16,1,11,1,9,3,13,1,8,1,13,1,11,1,8,2,9,1,14,1,9,1,13,1,7,1,13,3,8,1,11,1,10,1,12,1,17,1,8,1,24,1,13,3,24,1,17,1,10,1,8,1,17,1,24,1,13,1,8,1,24,1,6,1,24,1,28,13,29,1,30,1,6,1,28,6,30,2,7,6,24,1,9,1,6,1,30,1,28,1,29,1,28,1,30,1,28,1,13,1,8,1,14,3,10,1,8,1,13,1,8,2,13,2,6,2,7,1,24,1,7,1,10,1,12,1,13,1,29,1,6,1,28,8,30,1,28,4,13,1,10,1,11,3,9,3,13,1,9,3,11,1,9,2,8,1,9,2,11,2,9,3,11,1,9,2,8,2,9,1,8,1,9,1,13,1,9,2,8,1,11,1,8,1,9,4,11,1,13,1,28,155,30,1,28,2,6,1,29,2,13,1,29,1,6,2,28,1,30,1,28,91,30,2,28,3,29,1,28,1,30,1,28,1,29,1,6,1,7,2,6,1,9,1,24,1,12,2,24,1,9,1,7,1,13,1,24,1,10,1,9,1,10,1,12,2,17,1,12,1,17,3,10,1,12,1,17,1,12,1,17,11,12,1,17,3,12,1,17,4,12,1,17,4,11,1,17,1,9,1,11,1,9,2,11,1,16,1,11,3,16,1,9,2,11,1,13,1,11,1,9,1,13,1,8,1,9,1,13,1,6,1,9,1,10,1,13,1,11,1,13,1,16,1,13,2,8,1,13,1,9,2,8,1,11,1,8,1,9,2,8,1,13,1,9,1,13,1,9,4,13,1,8,1,13,4,9,2,13,1,8,1,9,1,8,1,13,2,8,1,13,1,9,1,13,2,9,2,8,1,13,1,9,1,13,1,10,1,8,1,11,1,8,1,16,1,8,1,9,2,13,1,8,1,9,1,8,1,13,1,8,2,13,3,8,1,13,1,9,1,13,2,8,1,9,2,8,1,13,3,9,1,13,1,9,2,13,1,16,1,9,1,8,1,13,1,8,1,9,2,8,1,13,1,8,3,13,1,8,2,13,2,9,1,6,1,8,1,13,3,8,1,13,3,9,1,13,2,6,1,13,1,6,1,30,1,28,99,13,1,28,1,7,1,30,1,24,1,13,1,7,1,13,1,30,1,7,1,6,1,30,2,6,1,7,1,29,1,13,1,7,1,6,1,13,2,8,2,6,1,10,1,8,1,13,1,24,1,8,1,9,3,33,35,5,389,13,4,7,2,6,1,7,1,6,1,28,1,30,1,6,2,28,1,29,1,13,1,7,1,29,1,24,1,8,1,12,3,17,16,12,1,11,1,17,1,12,1,11,1,17,2,11,1,17,83,11,1,17,1,12,1,11,1,17,1,9,1,8,2,17,1,11,1,17,1,10,1,11,1,9,3,11,1,12,1,11,1,17,1,11,1,10,1,9,1,24,1,8,1,9,2,13,1,8,1,17,1,10,1,17,2,12,1,10,1,7,1,8,1,29,1,12,1,7,1,28,4,30,2,28,4,30,1,28,2,30,1,29,2,30,1,6,1,13,1,7,2,13,3,7,1,8,1,13,1,8,3,13,1,9,4,11,2,16,1,11,3,16,1,9,1,10,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,17,1,9,1,17,1,13,1,10,1,9,1,8,1,13,1,7,1,8,1,13,1,6,2,8,5,13,2,9,3,11,1,17,1,9,1,17,1,10,1,11,1,9,3,11,1,9,2,13,1,11,1,9,1,16,1,13,2,8,4,13,2,9,9,10,1,17,1,9,1,10,2,9,1,8,1,9,1,13,1,9,1,10,2,9,1,8,1,9,1,10,1,9,1,10,1,9,3,13,2,11,1,13,1,9,1,11,1,17,7,16,2,17,1,9,1,11,1,17,1,11,1,17,1,10,1,17,3,12,1,9,1,10,1,8,1,9,3,17,23,10,3,8,1,13,2,12,1,13,1,9,1,24,1,17,2,24,1,17,1,12,1,17,4,12,1,17,11,11,1,9,1,10,1,9,2,17,1,12,1,17,16,10,1,8,1,9,1,12,1,24,3,8,1,24,1,10,1,9,1,10,1,11,1,12,1,17,4,16,1,17,2,11,1,10,1,17,1,16,1,17,3,11,1,8,1,6,2,28,1,29,1,28,120,8,1,13,2,28,116,30,1,6,1,28,1,6,3,13,2,10,1,13,2,12,1,13,2,8,1,13,4,8,1,7,1,6,1,13,2,6,2,13,1,7,1,8,1,6,3,30,1,6,1,13,1,6,3,10,1,8,1,13,1,7,1,12,1,8,1,9,2,24,1,12,1,17,1,9,1,17,1,10,1,11,1,8,2,10,1,8,1,9,3,13,1,9,2,11,1,8,1,7,1,6,2,29,1,28,1,30,1,28,68,30,1,7,2,13,1,6,1,13,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,4,7,1,9,1,7,1,8,1,13,1,8,2,10,1,9,2,17,1,9,1,11,2,9,1,6,1,13,1,30,2,28,1,30,1,6,1,30,1,6,3,30,1,13,5,9,1,8,2,13,2,8,1,9,2,13,2,10,1,7,1,8,1,13,3,8,1,13,2,8,1,9,3,8,2,9,2,8,1,13,1,9,2,8,1,9,3,8,3,9,3,10,2,11,1,12,1,9,1,11,1,12,1,17,1,10,1,11,1,6,1,28,7,30,1,28,6,6,2,13,3,9,1,17,1,12,1,9,1,12,1,10,1,9,1,13,2,9,4,13,1,8,1,9,1,13,1,11,1,6,1,13,1,7,1,13,1,7,1,6,2,13,6,8,1,11,1,9,4,10,1,12,1,17,1,11,1,13,1,9,1,11,1,9,2,11,1,9,1,10,2,8,1,12,1,8,1,9,2,11,1,9,1,17,1,11,4,9,1,12,1,9,1,11,1,12,2,17,1,10,1,17,1,10,2,17,1,11,2,12,2,17,4,12,1,17,2,12,1,17,3,9,2,5,61,30,1,28,9,6,1,14,1,17,2,9,1,6,3,28,2,30,2,6,1,7,1,13,1,8,3,6,1,28,6,7,1,6,1,7,1,29,1,28,30,9,1,15,1,8,1,7,1,8,1,7,2,11,1,}, {6,1,13,1,12,1,9,1,30,1,28,37,30,1,6,3,24,1,13,1,6,1,12,1,17,1,10,1,8,1,30,2,6,3,8,1,17,2,9,1,13,1,9,3,10,1,24,5,15,1,11,1,7,2,13,1,8,1,13,2,9,1,17,1,9,2,8,4,13,1,9,1,17,1,9,1,17,1,9,2,13,2,24,1,8,1,13,1,30,1,28,7,29,1,28,4,29,1,30,1,28,8,6,1,29,1,6,1,13,1,6,1,13,1,24,1,9,2,7,1,29,1,30,2,28,1,6,1,30,1,6,1,12,2,15,1,10,2,8,2,9,1,29,1,13,1,7,1,13,1,6,1,24,1,8,1,13,2,12,1,24,1,7,1,28,7,30,1,28,6,9,2,11,1,9,1,16,2,9,2,10,1,13,1,16,1,8,1,16,1,8,1,9,2,16,1,9,3,8,1,9,1,8,1,11,1,9,2,13,1,9,1,13,2,8,1,9,1,13,2,9,4,13,1,9,2,16,1,6,1,28,158,30,2,29,1,30,2,7,1,30,1,29,1,28,99,6,1,7,1,13,1,6,2,13,1,7,1,13,2,9,1,10,1,24,1,13,1,9,1,24,1,9,1,24,1,12,1,8,1,12,2,17,4,9,1,12,1,17,1,12,1,17,14,11,1,17,13,9,1,11,1,16,1,9,3,8,1,11,1,13,1,9,1,13,7,8,1,13,2,7,1,8,2,9,1,13,3,8,1,9,3,11,1,13,1,11,3,10,1,8,1,9,2,8,1,9,1,13,1,8,1,13,1,9,2,8,1,13,3,9,1,13,1,8,1,13,2,8,1,9,3,8,1,9,2,13,1,9,2,13,2,8,1,9,1,13,1,8,2,9,1,13,1,9,2,13,1,8,3,10,1,8,1,9,2,8,1,9,3,8,2,13,1,9,1,13,1,9,1,13,1,6,1,8,1,9,1,13,1,9,1,8,1,13,1,8,1,9,2,12,1,13,2,11,1,9,1,8,2,9,1,13,1,8,1,13,1,8,1,9,1,8,1,13,2,9,1,13,1,9,1,13,3,9,1,13,1,9,1,8,1,9,2,13,1,9,1,10,1,13,1,28,1,30,1,28,94,30,1,28,4,29,1,28,1,29,2,6,1,13,1,30,1,24,1,6,1,7,1,13,1,29,1,6,1,13,1,29,1,13,1,29,1,7,1,6,1,8,1,6,1,7,1,13,1,24,1,8,2,13,1,24,1,9,2,13,1,9,1,33,37,5,387,11,1,9,1,7,1,24,1,7,3,30,1,7,1,30,1,6,1,28,1,7,1,6,3,13,1,6,2,12,1,10,2,11,1,17,1,12,1,17,2,12,1,17,12,12,3,11,1,12,1,17,87,12,1,17,1,9,4,11,2,9,1,10,1,11,1,9,2,12,5,10,1,8,1,9,1,12,1,8,3,13,1,17,1,12,1,17,2,12,2,13,3,7,1,12,1,28,4,30,1,28,5,30,1,28,4,29,1,30,1,28,1,7,1,6,2,7,1,13,1,8,1,13,1,7,1,13,1,8,1,13,1,9,2,8,2,9,2,8,1,9,1,11,1,9,1,16,1,10,1,11,9,9,1,11,1,16,2,11,1,13,1,9,2,8,1,9,1,13,4,6,1,8,1,13,1,8,1,9,1,8,1,29,1,13,2,9,2,8,1,11,1,9,1,16,1,11,1,9,2,10,1,9,5,16,1,10,1,16,1,8,1,13,1,8,1,7,1,9,1,13,2,7,1,13,1,9,1,8,1,13,1,9,1,10,1,9,1,8,2,11,1,9,3,8,1,11,1,9,1,12,1,9,2,10,1,9,3,8,1,9,1,8,1,13,1,8,1,13,2,7,1,13,1,9,1,13,1,9,1,17,8,9,1,16,3,10,1,17,1,11,1,17,1,11,1,16,1,17,3,12,1,17,1,11,1,9,1,11,2,17,20,12,1,17,2,9,1,8,1,10,1,24,1,9,1,8,1,9,1,7,1,12,6,17,4,11,1,17,34,9,1,10,1,24,5,10,1,24,1,8,1,24,1,8,2,24,1,11,1,17,4,10,2,12,1,11,3,17,5,9,1,13,2,28,1,29,1,28,119,6,1,8,1,13,1,28,120,29,1,30,1,6,2,13,2,7,1,13,4,8,2,13,1,9,1,13,1,24,1,13,1,8,2,24,1,13,1,7,1,13,1,29,1,8,1,7,1,13,1,30,1,13,1,7,1,13,1,6,1,13,4,8,1,13,1,12,1,7,1,9,1,11,1,12,1,9,1,12,2,17,1,12,1,9,1,11,1,9,2,13,1,9,1,8,1,10,1,8,1,9,4,7,1,13,1,6,1,30,1,13,1,7,1,30,1,28,70,6,1,8,1,13,1,8,1,30,2,8,1,6,1,13,2,6,1,8,1,6,1,7,1,29,1,8,1,13,2,8,4,9,1,8,1,9,2,8,2,9,1,11,2,9,2,6,3,30,1,28,2,30,1,28,1,30,2,29,1,30,1,6,2,30,1,7,1,13,1,6,1,7,1,6,1,29,1,13,1,30,1,6,1,13,2,7,1,13,1,6,1,8,1,13,4,8,1,13,2,9,1,13,2,8,2,13,1,9,2,13,1,9,1,8,2,9,1,10,1,9,1,6,1,11,1,8,1,9,1,11,1,9,1,11,1,13,1,6,1,13,1,6,1,28,14,30,2,7,2,13,2,8,1,13,1,8,1,9,2,12,1,17,1,9,3,13,1,8,1,13,1,8,1,13,6,7,1,13,2,30,1,13,1,7,1,29,1,30,3,7,1,29,1,13,2,9,4,13,2,9,1,12,1,17,1,12,1,9,1,7,1,11,1,9,1,10,3,9,1,11,1,9,5,10,1,9,1,12,1,9,1,17,1,9,1,11,1,12,1,8,1,10,1,12,1,11,1,17,1,12,1,10,1,9,1,17,1,12,1,17,1,10,1,11,1,17,2,11,1,17,3,12,1,17,1,11,3,17,1,10,1,9,1,13,1,5,62,28,10,13,1,14,1,17,1,11,1,13,3,7,1,29,2,28,2,30,1,6,1,7,1,8,1,24,1,8,1,13,1,28,6,7,1,13,1,6,1,29,1,30,1,28,29,13,1,12,1,9,1,13,1,8,1,6,2,9,1,}, {7,2,10,1,24,1,6,1,28,18,30,2,28,15,6,1,28,2,6,1,13,1,24,1,13,2,9,1,13,1,17,2,8,1,6,3,30,1,29,1,24,1,17,2,9,1,13,1,8,1,9,2,10,1,13,1,10,1,8,1,6,1,13,1,14,1,9,1,8,1,13,1,6,1,7,1,9,1,13,1,9,1,12,1,11,1,9,1,24,1,8,1,13,1,9,1,8,1,9,1,24,1,11,1,17,1,8,1,13,3,8,2,13,1,29,1,28,24,6,2,8,1,13,2,8,2,7,1,6,1,29,1,28,2,6,1,30,1,6,1,10,1,24,1,9,1,24,2,13,1,24,1,13,1,7,1,13,1,8,1,6,1,13,2,24,1,8,1,13,1,10,1,24,1,6,1,28,9,30,1,28,3,9,1,16,1,11,1,9,1,11,2,16,1,9,3,8,1,11,1,8,1,9,1,13,2,8,1,9,1,13,1,9,3,13,1,8,1,9,1,13,1,9,2,13,3,9,4,13,1,9,1,16,1,13,1,9,1,13,1,9,1,10,1,29,1,28,160,29,1,6,1,29,1,30,1,7,1,28,1,30,1,28,97,6,1,30,1,7,1,6,1,7,1,8,1,13,1,8,1,7,1,8,1,9,2,13,1,9,1,24,1,8,1,10,1,24,1,9,2,12,1,9,1,11,2,17,2,12,1,16,1,17,1,10,1,17,27,16,1,11,1,16,1,9,1,11,1,9,1,8,1,9,1,8,1,11,1,13,1,9,3,13,1,9,1,16,1,8,1,9,1,8,1,9,2,13,1,9,1,13,2,8,1,13,2,8,1,6,1,13,1,8,2,9,2,16,1,8,1,16,1,9,2,11,1,9,1,8,1,9,2,13,2,6,1,13,2,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,9,2,13,1,9,2,13,2,11,1,13,1,9,1,13,1,9,5,13,1,8,1,9,2,6,1,9,1,13,1,9,1,13,1,9,1,29,1,8,1,13,1,8,1,9,1,8,1,13,2,9,1,8,1,9,1,8,1,13,2,8,1,13,1,9,2,13,1,9,3,11,1,9,1,13,3,8,1,9,1,7,1,8,2,9,2,13,2,9,1,13,1,8,1,13,3,8,1,13,2,11,1,8,1,9,1,8,1,9,1,8,2,29,1,28,8,30,1,28,94,30,2,7,2,24,1,6,2,8,1,7,1,8,1,30,1,7,2,6,2,13,1,7,1,13,2,9,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,8,1,9,2,33,42,5,383,9,1,13,2,8,1,13,1,29,1,7,1,29,1,6,2,29,1,30,2,6,1,29,1,13,2,30,1,10,1,9,1,8,1,12,1,17,20,11,1,12,1,10,1,11,1,17,80,11,1,17,4,11,1,12,1,10,1,9,1,13,1,17,1,24,2,9,1,10,1,11,1,17,2,11,1,12,2,11,1,9,1,8,1,9,1,13,1,8,1,10,1,9,2,10,1,12,1,17,1,11,1,12,2,9,1,13,1,24,1,7,1,24,1,8,1,28,1,29,1,28,2,30,1,28,9,30,4,6,1,7,1,13,1,7,1,13,1,8,2,13,1,8,1,9,1,13,2,8,1,13,1,10,1,9,1,11,1,10,1,9,1,11,1,10,1,11,1,16,1,11,2,9,1,11,1,10,1,11,1,10,1,9,1,16,1,9,1,11,1,10,1,11,1,13,1,9,1,8,1,13,1,8,1,13,1,6,1,13,2,29,1,6,1,8,1,13,1,9,2,13,3,9,4,11,2,16,1,11,1,13,1,11,2,9,3,11,1,10,1,17,1,11,3,13,2,6,1,8,1,13,1,8,4,9,2,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,11,1,9,3,13,1,11,1,9,1,10,1,9,4,13,1,8,1,13,2,7,2,9,2,10,1,16,1,17,6,10,1,16,1,10,1,11,1,16,2,17,3,11,1,16,1,17,14,16,1,17,12,12,1,17,3,12,1,17,1,24,1,13,1,9,1,8,1,10,2,12,2,17,2,9,1,17,1,10,1,9,1,10,1,17,23,8,2,13,1,9,1,16,1,17,9,8,1,24,6,10,2,8,1,9,1,10,1,9,2,11,1,17,4,16,1,17,1,16,1,17,1,16,1,17,4,11,1,12,1,13,2,9,2,7,1,6,1,28,118,7,1,13,1,7,1,28,119,30,1,28,1,29,1,6,2,29,1,13,1,8,1,24,1,8,1,13,1,8,2,9,1,13,1,8,1,13,1,9,1,7,1,13,1,8,2,6,1,13,1,7,1,6,1,24,1,29,1,8,1,6,1,13,1,7,2,6,1,13,1,6,1,7,1,13,1,8,1,13,1,8,2,7,1,13,1,12,2,11,1,9,1,24,1,9,1,10,2,9,1,10,1,8,1,9,1,8,2,9,1,8,1,13,1,8,1,9,1,13,1,24,1,13,1,8,1,13,1,29,1,7,1,30,1,29,1,28,1,30,1,28,68,6,1,13,1,8,1,6,1,13,3,7,1,13,7,8,1,13,6,9,1,13,1,9,2,8,1,9,6,13,2,29,1,6,1,30,1,28,1,29,1,30,1,6,1,28,3,30,1,28,1,30,1,29,1,30,2,28,1,29,2,30,1,6,2,29,1,6,2,28,1,6,1,29,1,7,1,6,1,30,1,6,1,13,2,7,1,13,1,30,1,13,1,7,1,6,1,13,2,7,1,13,2,7,1,6,1,7,1,6,1,30,1,28,2,30,1,28,14,30,1,28,1,30,1,6,1,7,1,28,1,13,1,6,1,13,1,8,2,6,2,13,1,9,2,12,1,11,2,8,1,9,1,8,1,13,2,7,1,13,1,8,1,13,1,8,1,13,1,6,2,29,1,6,4,13,1,30,1,6,1,13,1,7,2,13,2,8,1,13,1,9,1,13,1,9,1,10,1,9,1,17,1,8,1,11,1,10,1,13,3,9,2,8,1,9,1,13,1,11,1,13,1,17,1,9,3,8,1,10,2,11,1,17,1,9,2,10,2,12,1,11,2,9,1,11,1,17,2,12,1,11,2,12,1,17,2,11,1,17,2,11,1,17,3,12,1,11,2,8,1,13,1,6,1,5,63,28,10,8,1,14,1,17,2,9,1,7,1,8,1,6,1,30,1,6,1,29,1,30,1,6,3,8,1,9,2,6,1,28,6,8,1,7,1,30,1,28,30,29,1,13,1,11,1,24,1,7,1,13,2,6,1,9,1,}, {6,2,11,1,9,1,28,28,30,1,28,3,30,1,28,4,29,1,30,2,13,1,8,2,9,1,24,1,17,3,11,1,6,2,29,1,7,1,30,1,8,1,12,1,17,1,12,1,6,1,9,1,12,1,15,1,9,1,15,1,13,2,11,1,24,1,16,1,9,1,8,1,6,1,8,1,13,2,8,1,13,1,24,1,9,2,8,1,13,3,8,1,15,1,12,1,9,1,12,1,16,1,10,1,13,2,8,2,9,1,30,1,28,23,6,1,7,1,13,1,6,1,7,1,8,1,7,1,8,1,7,1,30,2,28,1,29,1,30,1,29,2,24,1,8,1,24,2,8,1,24,1,9,1,6,1,13,3,6,4,13,1,8,1,13,1,24,1,30,3,28,8,30,1,28,2,13,1,9,1,11,2,16,2,11,1,9,1,13,1,8,1,9,1,13,1,9,3,11,1,9,3,13,1,11,1,13,1,9,3,13,1,11,1,9,4,13,1,9,2,11,1,16,1,11,1,9,6,6,1,28,157,30,1,28,1,30,2,28,2,7,2,8,1,28,47,29,1,28,3,30,1,28,39,30,1,28,3,30,1,28,1,30,1,6,2,29,1,6,1,7,2,8,2,9,1,24,3,8,1,24,1,9,1,13,1,10,1,12,1,10,1,24,1,17,1,9,1,12,1,17,2,12,2,17,2,12,1,16,1,12,1,17,10,12,1,17,16,11,1,9,1,11,1,8,1,11,1,9,3,13,1,9,3,16,1,8,1,10,1,11,1,9,1,11,1,9,2,13,1,9,1,13,1,9,2,13,3,9,2,8,2,11,1,13,3,9,3,8,1,9,1,13,1,8,1,11,1,9,4,13,3,8,1,13,1,8,1,13,3,8,1,13,2,9,1,6,1,8,1,13,1,8,1,6,1,13,2,8,2,13,1,9,1,11,1,13,2,11,1,13,1,11,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,6,2,8,1,13,2,8,1,13,1,11,1,9,1,8,2,13,1,8,1,9,1,13,1,9,3,11,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,6,1,29,1,30,1,13,4,9,1,13,2,9,1,13,3,9,3,13,1,9,1,6,1,28,103,6,1,30,2,6,1,29,1,7,1,6,1,13,1,6,1,8,1,13,2,7,1,6,2,8,1,6,1,13,1,8,1,6,1,8,1,13,1,8,1,24,1,13,1,24,2,8,1,24,1,8,3,9,1,5,1,33,46,5,379,9,1,8,1,13,1,6,1,7,1,6,2,7,1,30,1,29,1,7,2,30,1,13,1,30,2,29,1,6,1,12,1,9,1,12,2,17,17,12,2,17,1,10,1,17,1,12,1,11,1,17,3,12,1,17,79,12,1,9,1,8,1,9,2,8,2,9,1,17,1,10,1,9,3,12,2,9,1,10,1,11,1,10,1,24,1,12,1,9,1,13,2,9,1,17,5,9,1,10,1,13,1,24,2,8,1,10,1,24,1,30,1,28,12,29,1,28,1,30,1,28,1,6,1,13,1,7,1,13,3,8,1,13,1,8,1,9,1,8,1,9,1,8,2,10,1,8,1,9,1,11,3,9,1,11,1,9,1,11,2,9,1,11,1,10,1,11,2,16,1,9,1,11,3,16,1,13,5,9,2,13,2,29,1,6,2,13,2,8,1,13,1,9,2,30,1,13,1,11,1,9,2,11,1,16,1,11,1,9,3,8,1,9,2,11,3,9,1,11,1,12,1,16,1,13,1,8,1,13,3,8,1,24,1,8,1,10,1,9,1,13,2,12,1,9,1,11,1,13,1,9,1,8,2,9,1,8,1,9,1,11,1,9,2,10,1,9,1,13,1,9,3,13,1,11,1,13,2,9,1,13,1,7,1,8,1,9,1,11,2,9,1,8,1,16,1,17,4,11,2,16,1,13,1,17,1,11,1,17,1,9,1,17,33,12,1,9,1,10,1,9,1,10,1,8,1,24,1,9,1,10,1,24,1,8,1,9,2,12,1,9,1,11,3,17,20,15,1,24,1,8,1,13,1,8,1,9,1,8,1,13,1,12,1,17,8,8,2,24,8,12,2,10,1,13,1,11,1,17,13,11,2,13,2,9,2,8,1,13,1,7,1,6,1,28,115,6,1,8,1,13,1,28,123,29,1,6,1,13,1,7,1,13,1,8,1,24,1,9,1,8,2,13,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,13,2,7,1,13,2,8,2,13,1,8,1,6,1,13,1,8,1,9,1,6,1,8,1,6,1,13,1,6,1,9,1,24,1,9,1,12,1,9,1,12,1,11,1,17,1,24,1,12,2,9,2,17,1,9,2,10,1,8,1,17,1,9,1,8,1,10,1,8,2,13,5,7,1,13,1,8,1,29,1,28,2,30,1,28,67,30,1,6,1,24,2,13,1,7,1,8,1,6,1,8,1,13,3,6,1,13,1,8,3,7,1,8,1,9,5,8,1,9,1,13,1,8,1,9,2,11,1,9,2,8,1,9,1,13,2,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,4,30,2,6,1,30,2,29,1,28,1,30,2,28,2,29,1,30,2,28,4,30,1,28,1,29,1,6,1,29,1,28,3,30,1,28,1,6,2,28,17,30,1,28,1,30,1,6,1,29,1,30,1,7,1,13,1,7,1,13,1,9,2,8,1,13,2,8,1,13,3,9,1,10,1,9,1,11,1,9,1,8,2,7,1,13,2,8,1,13,1,7,1,30,1,13,1,6,2,7,1,13,3,6,2,13,1,7,2,6,1,7,1,6,3,7,2,9,2,8,1,9,1,12,1,17,1,11,1,7,1,8,1,7,1,8,1,13,1,8,1,10,1,9,1,13,1,9,1,10,1,9,4,11,2,10,1,12,1,17,1,9,1,11,1,17,1,11,2,12,2,17,1,10,1,11,2,9,1,10,1,11,2,17,1,11,1,17,2,12,1,11,1,17,3,9,1,10,1,11,1,8,2,9,1,28,1,5,63,30,1,28,9,13,1,17,3,10,1,13,3,30,1,29,1,30,1,28,1,30,1,28,1,6,1,9,1,10,1,8,1,10,1,28,5,29,1,9,1,13,1,28,29,30,1,28,2,13,1,9,1,8,1,29,1,8,2,24,1,17,1,}, {7,1,13,1,9,1,12,1,30,2,28,33,30,1,28,3,29,1,6,1,13,1,8,1,17,1,8,1,17,3,9,2,6,2,30,1,29,1,8,1,17,2,16,1,13,1,9,3,16,1,10,1,13,1,24,1,9,1,8,1,14,1,9,1,13,3,7,1,13,3,9,1,10,1,8,1,9,1,8,2,6,1,7,1,24,1,17,1,12,1,16,1,10,1,17,1,8,2,7,1,9,1,13,1,28,23,30,3,13,1,7,1,13,1,8,1,24,1,15,1,13,1,28,3,30,1,28,1,29,1,7,1,8,1,12,2,9,1,24,2,7,1,6,1,24,1,6,1,24,1,6,1,28,1,6,1,9,1,6,1,8,1,24,1,8,1,6,1,30,1,28,1,30,1,28,11,13,1,11,3,9,1,13,1,9,3,13,1,8,1,9,1,11,1,13,1,9,1,11,1,9,1,13,2,9,1,8,1,11,1,9,6,8,1,11,1,13,1,11,1,13,1,11,1,9,2,11,1,9,1,11,1,9,3,13,1,28,159,6,1,28,1,29,1,30,1,6,1,28,54,30,1,28,40,30,1,28,3,6,1,29,1,6,1,7,1,13,1,7,1,13,1,24,1,10,1,24,2,8,1,24,1,9,1,7,1,24,1,9,2,8,1,9,1,8,1,10,2,17,1,12,1,17,3,11,2,17,3,12,1,11,1,12,1,17,7,12,1,17,14,16,1,17,1,9,3,13,1,9,1,16,2,13,1,9,3,16,1,8,1,16,1,9,1,13,1,16,1,9,2,13,1,11,1,9,1,13,1,9,1,13,2,9,1,13,2,9,3,16,1,9,1,16,1,9,1,8,2,13,3,9,1,8,1,10,1,13,1,9,1,11,1,13,1,9,1,10,1,8,1,9,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,13,2,8,1,11,1,9,4,10,1,9,1,13,1,9,1,8,1,9,1,13,1,8,2,13,1,11,1,9,4,8,1,13,1,9,1,8,1,13,1,9,1,7,1,9,1,8,1,13,3,8,1,9,1,13,1,9,3,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,3,13,6,8,2,9,2,13,2,8,2,6,1,28,57,30,1,28,6,30,1,28,37,30,1,28,1,6,1,29,1,28,1,30,1,7,1,8,1,7,1,8,1,13,2,8,1,13,1,7,1,6,1,29,1,6,2,13,1,7,1,13,1,7,1,13,1,8,2,13,1,8,2,24,2,8,1,13,1,9,1,13,1,5,1,33,50,5,375,13,3,8,1,6,1,13,1,6,1,7,1,28,1,7,1,30,1,7,2,13,1,7,2,6,1,13,1,8,1,10,1,24,1,17,19,11,1,17,1,11,1,17,1,12,1,17,83,12,1,11,1,10,1,9,1,13,1,11,1,12,1,11,1,17,2,12,2,11,1,9,1,17,1,11,3,9,1,17,1,13,1,8,1,10,1,24,1,8,1,17,5,11,1,8,1,10,1,24,1,13,1,10,1,8,1,13,1,6,1,28,3,30,1,28,1,30,1,28,1,29,1,28,5,6,1,28,1,29,1,30,1,6,1,13,5,6,1,13,1,9,2,13,1,9,1,8,1,9,2,11,1,9,1,11,1,10,1,11,10,16,1,11,1,16,2,11,1,16,1,11,1,6,2,13,2,9,3,6,1,7,2,6,2,28,1,6,1,9,1,8,2,11,1,8,1,13,1,9,1,11,1,9,1,10,1,12,1,17,1,12,1,11,1,9,4,11,1,9,1,11,1,9,1,11,1,17,2,9,2,13,1,6,1,8,1,13,1,11,1,10,1,13,1,9,1,8,2,10,1,9,2,8,1,9,2,13,1,8,1,9,1,8,1,9,3,11,1,9,2,11,1,9,2,8,1,9,1,16,1,13,1,6,1,9,1,8,1,11,1,9,1,12,1,17,2,9,2,17,4,11,1,17,2,11,1,17,4,16,1,17,2,16,1,17,24,12,1,17,4,8,1,9,1,24,1,9,2,12,1,24,1,10,1,24,1,13,1,24,1,9,1,7,1,13,1,8,1,9,1,12,2,17,3,12,1,17,12,10,1,17,2,12,1,13,2,8,1,24,2,9,1,8,1,13,2,16,1,17,6,12,1,8,1,9,1,24,3,10,1,24,1,10,1,24,1,17,1,12,1,11,1,24,1,8,1,11,1,17,4,16,1,17,8,16,1,12,1,7,1,13,1,9,1,10,1,9,1,10,1,13,2,30,1,28,113,6,1,13,2,30,1,28,122,29,1,6,1,28,1,13,2,6,1,13,2,8,1,9,2,8,2,13,1,8,1,7,1,13,1,9,1,13,1,8,1,13,1,8,1,6,1,8,3,13,2,8,1,13,1,6,1,8,1,13,1,7,1,8,1,13,3,8,1,9,2,11,1,9,1,10,1,9,2,8,1,11,2,8,1,9,1,11,1,9,1,11,1,13,1,8,2,9,1,8,1,9,1,13,1,12,1,13,1,9,1,13,1,8,1,9,1,6,1,13,1,6,2,7,1,29,1,6,1,28,1,30,1,28,67,30,1,13,2,9,1,8,1,13,3,6,1,13,1,8,2,13,1,7,1,13,5,8,2,9,2,8,1,10,1,9,1,8,1,10,1,9,1,10,1,12,1,9,1,11,1,9,1,8,1,13,3,6,3,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,5,29,1,28,2,29,1,6,1,30,1,28,3,30,3,28,2,30,1,28,2,30,1,28,1,30,2,28,3,30,1,28,4,29,1,30,1,6,1,29,1,13,1,30,1,13,2,7,1,6,2,13,3,8,1,9,1,8,1,7,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,11,1,10,2,13,1,9,2,7,1,13,3,30,1,7,1,13,2,7,1,13,1,7,1,6,2,13,1,29,1,6,1,7,1,29,1,6,1,29,1,13,1,6,1,7,1,6,1,7,1,13,4,9,2,10,2,8,1,13,2,10,1,24,1,13,1,9,1,13,1,9,2,10,2,8,1,10,1,13,1,11,1,9,2,10,1,11,1,12,1,11,1,9,3,17,1,11,1,9,1,12,2,11,1,17,1,11,2,12,1,9,2,12,1,17,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,10,1,12,1,8,1,13,1,28,1,13,1,5,63,28,10,24,1,17,3,24,1,8,2,13,1,6,1,29,1,6,1,29,1,28,1,6,1,7,2,10,1,8,1,13,1,28,5,6,1,24,1,13,1,28,32,13,1,8,1,9,1,13,1,29,1,8,1,13,1,15,1,}, {13,1,29,1,8,1,17,1,30,1,28,14,30,1,28,13,29,1,28,7,6,1,28,1,30,2,7,1,13,1,24,1,12,1,17,3,9,2,6,1,13,1,6,1,13,1,8,1,17,2,12,1,8,1,10,2,16,1,10,1,13,1,8,1,9,1,8,2,9,1,16,1,13,3,6,1,8,1,6,1,13,1,9,3,24,1,13,1,8,2,9,1,13,1,17,3,16,1,11,1,8,1,10,1,9,2,6,1,28,11,30,1,28,1,29,1,28,9,30,1,28,2,6,1,24,1,12,1,10,1,9,2,13,1,7,1,28,1,30,3,28,1,6,1,24,1,12,1,10,1,8,1,9,1,8,1,7,1,8,2,13,1,6,1,8,1,13,2,24,1,6,1,13,1,24,2,13,1,29,1,28,13,13,1,16,2,9,1,16,1,9,1,8,1,9,3,11,1,9,3,11,1,13,1,11,1,9,1,8,1,9,3,13,1,9,1,13,2,6,1,13,2,9,3,13,1,9,7,16,1,8,1,6,1,28,161,30,2,29,1,28,46,30,1,28,49,30,2,6,1,29,1,6,1,13,1,7,1,13,1,6,1,8,2,9,1,7,1,9,1,8,1,24,2,13,1,10,1,13,1,12,1,24,1,10,1,11,2,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,2,12,1,16,1,12,1,17,4,10,1,17,4,12,1,17,13,11,1,17,1,16,1,13,1,8,1,13,2,8,1,9,1,8,1,28,1,9,1,13,3,9,1,8,1,9,1,13,1,9,1,30,1,8,1,13,1,11,1,13,1,8,2,9,1,13,4,9,2,8,1,9,2,8,1,13,2,8,1,9,4,11,1,13,1,8,1,9,2,13,1,8,2,7,1,9,1,8,2,9,1,8,1,13,1,9,1,13,1,9,1,8,1,13,3,8,1,9,1,6,1,30,1,9,1,13,1,9,2,13,1,9,4,10,1,9,4,8,1,9,1,8,1,11,1,10,2,9,1,13,1,9,1,8,1,9,1,8,1,13,1,7,1,9,1,8,2,13,1,8,1,13,3,9,3,29,1,30,1,13,7,7,1,13,1,8,1,13,1,8,4,13,1,9,1,8,1,9,1,8,1,13,1,30,1,28,59,30,1,28,47,30,1,6,1,13,1,7,3,13,1,8,1,13,2,30,1,7,2,8,1,13,1,29,1,8,1,24,1,13,1,8,3,13,1,24,1,8,1,24,3,8,1,9,1,10,1,13,1,5,1,33,53,5,372,9,1,8,1,13,2,7,1,30,4,6,1,28,1,13,1,6,1,30,1,6,3,30,1,28,1,12,1,11,1,12,2,17,17,12,1,11,1,17,1,11,1,9,1,17,1,12,2,17,1,12,1,17,77,12,1,11,1,9,1,13,1,10,1,13,1,12,2,17,2,11,1,17,1,12,2,11,2,9,2,17,1,9,1,10,2,11,1,9,1,24,1,12,1,17,1,9,1,17,2,8,1,9,3,10,1,13,1,9,1,13,1,24,1,6,1,28,3,30,2,28,1,29,1,28,5,30,4,8,2,13,1,8,5,10,1,8,1,10,1,9,1,8,1,9,3,10,1,11,1,9,2,11,3,10,1,11,2,10,1,11,2,16,1,10,1,9,1,16,2,17,1,11,1,9,1,13,1,8,1,13,2,9,1,8,1,9,2,7,1,13,1,6,1,13,1,6,1,29,1,13,2,9,1,11,1,13,2,9,2,11,1,9,1,11,1,9,1,11,1,12,1,11,1,10,1,9,2,8,1,9,1,11,1,9,1,16,1,11,2,9,1,13,2,7,1,8,2,13,1,8,2,9,5,13,1,9,2,8,1,11,1,13,2,9,3,8,1,9,4,10,1,9,2,13,1,8,1,11,1,9,1,11,1,9,1,10,1,9,1,11,2,17,1,16,1,11,1,9,1,17,3,16,1,10,1,9,1,11,1,9,1,16,2,17,2,16,1,17,1,16,1,17,24,12,1,17,3,12,1,24,1,17,1,8,1,24,1,13,1,24,2,9,1,24,1,8,2,24,1,8,1,7,1,13,1,24,1,9,1,12,2,10,1,12,1,11,1,17,10,9,1,8,1,11,1,12,1,24,1,8,2,13,1,24,1,10,1,17,3,24,1,13,1,8,1,12,1,17,2,12,1,17,3,24,1,13,1,24,1,7,1,24,1,13,2,9,1,10,1,17,3,8,1,9,1,10,1,17,13,9,1,13,1,9,1,11,1,17,1,12,1,10,1,11,1,9,1,13,2,6,1,28,112,13,1,8,1,6,1,28,123,6,1,28,1,30,1,13,2,6,1,13,2,8,1,10,1,13,1,9,2,24,1,10,1,13,2,8,1,13,4,7,1,13,1,7,1,24,1,8,1,13,1,6,1,8,1,13,1,7,1,9,1,13,2,8,1,13,1,7,1,13,2,17,1,9,3,8,1,12,2,9,1,10,1,9,2,11,1,8,1,13,1,11,1,9,1,10,1,9,2,8,1,13,1,10,1,8,1,9,1,8,1,9,1,24,2,8,2,13,2,29,1,7,1,13,1,29,1,30,2,28,68,13,1,12,1,10,1,8,2,13,5,29,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,9,2,8,1,9,5,17,1,11,2,17,1,11,1,12,1,9,1,8,1,13,1,7,1,6,1,13,2,7,2,6,3,28,2,30,1,28,5,30,1,28,4,6,1,28,3,6,1,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,3,6,1,28,1,30,1,28,1,30,1,28,1,29,2,6,1,29,1,13,1,6,1,7,2,13,4,8,3,9,1,11,1,13,1,9,1,8,1,9,1,8,1,13,1,9,2,10,5,13,5,6,2,13,1,6,1,8,1,6,1,13,2,7,1,13,1,29,1,6,1,29,1,30,1,29,1,30,1,6,1,28,1,7,2,6,1,29,1,6,2,13,1,9,2,10,1,9,1,8,1,13,6,9,3,8,1,9,1,13,1,8,1,9,2,11,1,10,2,11,1,17,1,12,1,11,3,17,1,11,2,17,1,10,1,11,1,9,1,17,1,11,1,9,2,11,1,17,1,12,1,11,2,17,1,11,3,17,2,11,2,13,1,28,2,5,64,28,10,10,1,14,1,17,2,24,1,8,3,30,1,6,2,28,1,6,1,30,1,13,3,8,1,30,1,28,5,30,1,24,1,13,1,28,1,30,2,28,22,30,1,28,6,10,1,12,1,13,1,7,1,6,2,13,1,14,1,}, {30,1,6,1,8,1,17,1,6,1,28,35,29,1,6,1,29,1,28,2,8,1,24,2,9,1,11,1,16,1,17,1,11,1,8,1,13,1,7,1,6,2,7,1,17,2,16,1,10,2,9,1,10,1,24,1,9,3,24,1,13,1,16,1,9,2,6,2,7,1,13,1,6,1,13,1,11,1,9,2,8,1,7,1,8,1,13,2,8,1,11,1,17,2,9,1,10,1,13,1,8,2,9,2,30,1,28,2,30,1,28,20,30,1,7,1,29,1,6,1,8,1,24,1,9,1,15,1,24,1,30,1,28,2,30,1,28,1,30,2,13,1,12,1,10,1,17,1,12,1,24,1,7,1,24,1,13,1,9,1,13,1,6,2,8,1,13,2,8,1,24,2,8,1,30,2,28,7,30,1,28,4,10,1,9,1,16,1,11,2,9,1,13,1,11,1,8,1,13,1,9,1,11,1,9,1,8,1,9,1,8,1,13,1,9,2,8,1,9,1,13,1,9,2,13,1,9,1,13,2,16,1,9,2,11,1,9,2,13,1,9,2,11,2,9,3,6,1,28,156,30,1,28,1,30,1,28,1,30,2,29,1,6,1,28,41,30,2,28,8,30,1,28,3,30,1,28,38,30,1,28,2,6,1,8,1,6,1,13,1,8,1,7,1,13,1,8,1,13,1,8,2,24,2,8,3,12,1,9,1,24,1,9,1,17,1,12,2,9,1,12,1,17,1,11,1,17,18,12,1,17,2,12,2,17,10,16,1,9,2,13,2,9,2,13,3,9,1,6,1,13,1,8,2,13,1,9,1,13,2,9,1,6,1,13,3,6,1,8,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,9,2,8,1,9,4,11,1,8,1,16,1,8,1,6,1,13,1,8,1,9,1,8,1,9,3,8,1,9,2,8,1,13,1,8,2,9,1,13,1,9,1,13,2,9,1,13,3,9,1,13,1,9,1,8,1,13,3,11,1,13,1,8,3,9,2,16,1,9,3,13,2,8,1,11,1,13,1,8,2,13,1,8,2,9,1,8,1,9,2,8,1,9,1,13,3,9,1,13,1,11,1,8,1,13,3,30,1,13,1,6,1,13,3,8,1,6,1,9,1,13,1,9,1,13,3,11,1,9,3,7,1,28,6,30,1,28,102,30,1,7,1,28,1,6,2,13,2,7,1,8,3,7,1,6,1,13,2,8,1,7,1,24,1,8,1,24,1,8,1,24,1,8,1,24,2,8,2,9,1,7,1,9,1,13,1,9,1,5,1,33,57,5,369,13,2,7,1,9,1,29,1,7,1,6,1,29,1,6,2,29,1,7,1,28,1,29,1,6,2,7,1,28,1,9,1,10,1,9,1,17,20,10,1,11,1,12,1,17,1,12,2,17,1,12,1,17,1,11,1,17,73,11,1,17,1,12,1,11,1,9,1,13,1,24,1,9,1,12,2,17,3,11,1,12,1,17,1,10,1,9,1,10,3,12,1,24,1,8,1,12,1,13,1,8,1,12,1,17,2,12,1,11,1,8,1,13,1,8,1,24,1,13,1,8,1,13,1,7,1,12,1,6,1,28,3,30,3,28,5,30,3,6,2,8,1,9,1,8,2,9,4,8,1,9,1,10,1,9,5,11,1,9,1,10,1,9,1,11,4,10,1,11,1,10,2,9,1,11,1,9,1,16,1,11,2,16,1,11,2,9,2,13,1,8,1,9,1,8,2,13,1,6,1,13,1,6,1,13,1,6,2,13,1,9,2,8,1,9,1,13,1,9,3,13,1,9,2,11,1,9,2,10,1,9,4,11,1,10,1,11,1,16,1,11,2,9,1,13,1,9,1,13,1,9,1,13,1,9,2,8,1,13,1,8,1,13,3,9,1,8,1,13,1,8,1,13,1,9,1,8,1,9,2,11,1,9,7,13,1,16,1,17,1,16,1,12,1,10,1,11,1,12,1,11,1,12,1,17,2,13,1,10,1,11,1,17,4,8,2,9,1,12,3,16,1,17,2,11,1,16,1,17,9,12,1,17,5,11,1,17,7,12,1,9,1,17,1,9,1,24,2,10,1,9,1,24,2,12,1,24,1,13,1,24,1,8,1,6,2,8,1,24,1,13,1,7,1,6,2,9,3,10,1,17,8,11,1,8,1,7,1,24,1,12,1,10,1,8,1,13,1,8,1,9,1,12,1,9,1,12,2,17,1,12,1,9,2,13,1,9,2,11,2,17,3,11,1,13,1,24,3,9,1,11,1,17,2,12,1,17,1,11,1,13,1,9,1,17,13,9,1,13,1,10,1,11,2,17,2,12,2,9,1,8,1,9,1,13,1,29,1,28,109,30,1,8,2,29,1,28,127,6,2,13,2,6,1,9,2,8,1,10,1,13,2,9,2,13,4,6,1,8,2,13,2,8,2,13,2,8,1,9,1,13,1,8,1,7,1,8,1,13,1,8,2,9,2,8,1,11,1,10,1,9,1,24,1,10,2,9,2,24,1,11,2,10,1,11,1,8,1,9,3,8,1,9,1,10,1,13,1,9,1,8,2,24,2,13,2,8,1,13,2,8,1,6,1,13,1,6,1,13,1,30,1,28,1,30,1,28,66,6,1,9,1,24,1,9,2,8,1,13,1,8,1,9,2,13,1,9,1,8,2,13,1,9,3,8,1,9,5,11,1,9,1,8,1,10,1,11,2,17,3,12,3,9,1,10,1,9,1,13,1,9,1,13,1,29,1,6,1,13,1,7,1,6,2,7,1,30,2,28,11,30,3,6,1,30,3,28,2,30,1,6,1,28,1,29,2,30,1,7,1,30,1,7,1,6,1,13,1,6,3,7,1,29,1,7,1,13,1,7,1,13,2,8,1,9,3,8,1,10,1,9,1,11,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,11,1,10,1,11,3,8,1,13,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,7,1,13,1,30,1,6,8,28,1,30,2,29,1,30,1,28,1,7,1,30,1,13,2,8,1,13,1,11,1,9,1,7,1,13,7,10,1,13,2,9,1,13,2,8,2,13,2,10,1,11,2,17,1,10,1,17,2,11,1,12,2,17,1,11,2,10,1,12,1,9,1,17,1,9,1,17,1,12,1,11,4,9,1,12,1,11,4,10,1,9,1,8,1,30,1,5,65,28,10,8,1,14,1,17,1,11,1,8,3,13,1,6,2,29,1,30,1,6,1,28,1,24,1,9,1,17,1,24,1,30,1,28,6,10,1,6,1,28,1,29,1,6,1,28,29,24,1,12,1,7,1,6,1,29,2,7,1,14,1,}, {6,1,13,1,9,1,12,1,7,1,30,1,28,4,30,1,28,1,30,2,28,31,7,1,12,1,15,1,16,2,17,2,9,1,6,1,30,1,7,2,29,1,13,1,12,1,17,1,10,1,9,1,12,1,16,1,17,1,9,1,24,1,9,2,8,1,13,1,14,2,11,1,6,3,7,2,8,2,9,1,24,1,10,1,13,4,24,1,13,1,17,2,16,1,9,1,24,1,8,2,9,1,13,1,6,1,28,23,30,1,29,1,6,1,13,1,8,1,6,1,9,1,14,1,8,1,30,2,28,2,30,1,28,1,7,2,24,1,17,2,9,1,24,1,13,2,9,1,8,1,13,1,8,1,6,1,13,1,6,1,13,1,24,1,9,1,14,1,13,1,30,2,6,1,28,8,30,1,28,2,7,1,16,1,11,2,16,1,11,2,9,1,13,1,16,1,13,2,9,5,13,1,11,1,9,2,11,1,8,1,9,2,13,1,9,1,13,1,11,1,9,1,8,1,9,1,8,1,9,1,11,1,13,1,11,1,9,1,11,1,8,1,9,1,16,1,9,1,30,1,28,125,6,1,28,9,30,1,29,1,28,20,29,1,28,1,30,2,29,1,30,1,29,1,30,1,28,42,30,1,28,4,29,1,28,45,6,1,28,2,7,1,13,1,29,1,13,1,6,1,9,1,13,1,8,1,13,1,24,1,9,4,13,1,24,1,8,1,9,1,24,1,10,1,13,1,17,1,12,2,11,1,17,1,12,1,17,2,12,1,16,1,17,1,11,1,17,9,12,1,17,1,24,1,17,14,16,1,9,1,11,2,16,1,9,1,13,1,9,2,13,1,9,1,8,1,13,5,11,1,13,4,6,1,13,4,8,1,13,3,9,1,13,1,11,1,13,1,11,1,8,1,9,3,10,1,9,1,8,1,16,1,8,1,9,1,8,1,13,1,9,1,7,1,9,1,8,1,13,1,9,6,8,1,13,1,9,1,13,1,6,1,13,2,7,1,8,1,30,1,6,1,8,1,13,2,9,1,13,4,8,1,13,1,9,1,6,1,13,1,8,2,9,1,13,2,9,1,13,1,9,1,16,1,13,1,9,1,8,2,9,1,8,3,13,1,8,1,13,2,6,1,13,2,9,1,16,1,8,1,13,2,8,1,13,7,9,1,13,2,8,2,9,1,8,2,13,1,28,109,30,2,6,1,30,1,7,1,8,1,13,1,7,1,24,1,13,3,24,1,8,1,6,2,7,1,8,1,13,2,8,1,13,3,24,2,8,3,10,1,8,2,9,2,33,62,5,365,9,1,13,1,6,1,13,1,7,2,29,2,6,1,7,1,28,1,29,1,7,1,6,1,30,1,7,1,6,1,28,1,8,1,9,1,10,1,17,1,12,1,17,17,12,1,17,1,10,1,12,1,17,4,12,1,11,1,17,76,12,1,9,1,13,1,8,1,24,1,12,1,17,3,12,1,17,1,12,1,17,1,8,1,12,1,10,1,24,1,9,1,11,1,9,1,11,1,9,1,24,2,11,1,17,3,12,1,13,1,7,1,6,1,8,1,9,1,10,1,24,1,6,2,17,1,7,1,29,1,28,1,29,1,30,1,29,1,30,1,28,1,29,1,28,3,30,1,6,1,30,1,29,1,13,1,9,7,8,1,11,2,8,1,9,2,11,1,8,1,11,4,9,1,16,1,17,1,10,1,11,1,10,1,11,2,10,2,11,1,16,1,11,1,16,2,11,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,9,1,13,1,8,1,13,1,8,1,13,1,30,1,7,1,13,1,9,4,13,2,9,2,8,1,9,1,10,1,9,1,10,1,9,1,13,1,9,1,8,1,9,3,11,2,10,1,17,1,11,1,9,1,13,1,10,1,13,1,8,1,13,1,9,1,13,2,9,1,13,1,8,1,9,1,8,2,13,1,9,1,13,1,8,1,9,3,8,1,11,1,10,1,9,1,13,1,11,1,9,2,16,1,17,1,12,1,11,1,17,1,11,2,17,1,12,1,17,2,13,1,8,1,10,1,11,1,17,2,12,1,11,1,13,1,9,1,10,1,9,1,16,1,17,1,12,1,16,1,11,1,16,1,17,7,16,1,10,1,16,1,9,1,12,1,17,2,16,1,17,1,10,1,12,1,17,3,12,1,17,1,12,2,9,1,10,1,12,1,8,1,9,1,13,1,8,1,24,3,13,1,24,1,7,1,8,1,24,1,13,1,8,1,13,1,24,1,13,2,8,1,24,1,29,1,8,1,17,10,24,1,10,1,9,2,10,1,24,1,13,1,8,1,9,1,10,1,15,1,12,1,17,9,11,1,17,4,9,1,13,1,10,1,17,7,11,1,9,2,17,14,11,1,17,6,12,1,9,2,10,1,9,1,8,1,7,1,28,108,13,3,28,128,7,1,6,2,13,1,11,1,9,4,8,4,13,1,24,1,7,1,8,1,13,2,8,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,8,2,13,2,8,2,13,1,9,1,13,1,9,1,13,1,9,1,12,1,24,1,9,1,8,1,24,1,9,1,11,1,13,1,11,1,10,1,9,1,10,1,9,1,10,1,8,1,9,1,8,2,13,1,9,1,11,1,13,1,9,1,8,3,7,1,8,2,13,1,7,3,6,1,7,1,29,1,6,1,30,1,6,1,28,1,30,1,28,65,9,1,10,1,12,1,10,1,8,2,13,1,7,1,9,1,8,1,13,3,9,1,8,2,9,3,8,2,9,3,8,1,9,1,11,2,9,1,17,3,11,1,12,3,11,1,10,1,9,1,10,1,12,1,13,1,8,2,7,1,13,2,6,1,7,1,13,1,7,1,28,1,29,1,28,6,6,1,29,1,6,1,13,1,6,2,29,1,7,1,6,2,28,1,13,1,6,1,13,2,6,2,13,1,6,3,13,2,6,1,10,1,9,1,13,3,9,1,8,1,13,1,11,1,8,1,10,1,11,1,9,1,11,1,10,2,8,1,10,2,9,2,10,1,11,1,17,1,11,1,8,1,9,1,7,1,13,1,8,1,7,1,13,2,6,1,7,1,13,1,6,1,29,1,6,1,30,1,6,1,29,1,28,2,30,4,28,1,6,1,28,2,29,1,6,1,29,1,13,2,10,1,9,1,13,1,30,1,13,1,6,1,8,1,13,4,8,1,13,2,8,1,13,3,8,1,13,1,9,1,10,1,17,1,11,1,17,1,11,2,17,1,10,1,11,1,17,1,9,1,8,1,11,7,17,1,9,1,17,3,10,1,12,1,11,2,17,1,12,1,11,1,10,1,6,1,13,1,5,65,28,10,9,1,14,1,17,2,9,1,13,1,9,1,24,1,7,1,30,1,6,1,30,1,28,2,24,1,9,2,10,1,30,1,28,5,8,1,24,1,6,1,7,1,6,1,13,1,30,1,28,28,9,1,11,1,13,1,30,1,29,1,7,1,24,1,9,1,}, {24,1,13,2,17,1,28,1,30,1,28,15,30,1,28,1,29,1,7,1,28,8,30,1,28,6,29,1,28,3,29,1,8,1,24,1,13,1,9,1,10,1,16,1,14,1,17,1,13,1,7,1,29,1,6,1,29,1,6,1,17,2,9,1,16,1,12,1,11,1,17,1,10,1,17,1,8,1,9,1,8,1,6,1,14,1,9,1,13,1,6,1,7,1,13,2,8,2,9,1,16,1,9,2,8,1,7,1,8,1,9,1,13,1,9,1,17,2,9,1,8,1,13,1,24,1,13,1,10,1,24,1,28,24,6,1,29,1,6,1,29,1,13,1,8,1,24,1,15,1,13,1,6,1,28,3,30,1,28,1,6,1,13,1,24,1,12,1,17,1,9,1,10,1,24,1,8,3,13,1,6,1,13,1,29,1,13,1,7,1,10,1,12,1,14,1,24,1,30,1,28,4,30,1,28,1,30,1,28,3,13,1,28,3,9,1,16,1,10,1,11,2,9,2,11,1,9,5,8,1,13,1,11,1,8,1,13,1,9,1,8,1,13,2,9,2,13,1,9,1,13,2,9,4,13,1,11,1,9,1,16,1,9,1,11,1,9,2,16,1,11,1,8,1,28,135,30,1,6,1,28,20,6,1,30,1,29,1,7,1,29,2,30,1,28,36,30,1,28,7,29,2,28,7,30,1,28,39,30,1,6,1,28,1,7,1,6,1,8,1,7,1,8,1,13,1,8,2,24,1,13,1,10,1,24,2,7,1,8,1,9,1,24,1,8,1,24,1,8,1,9,1,12,1,11,1,9,1,11,2,17,1,10,1,17,2,11,1,17,2,12,1,17,7,11,1,17,1,12,1,17,1,10,1,17,14,16,2,11,2,16,1,13,1,11,1,9,2,11,1,13,1,8,3,9,1,8,1,13,2,9,1,6,1,13,2,6,1,13,1,7,1,13,2,6,2,13,1,8,1,13,2,11,1,9,1,13,1,9,2,8,1,16,1,9,1,16,1,9,1,11,1,9,2,8,1,11,2,9,2,13,1,9,3,13,3,8,3,13,1,9,1,13,1,9,1,8,1,6,1,13,2,6,1,13,3,7,1,13,3,8,1,13,1,9,3,11,1,13,3,8,2,9,2,13,1,9,1,13,2,8,1,9,1,8,1,9,2,8,1,13,1,8,1,13,1,9,1,13,2,9,2,16,1,11,1,9,1,13,1,8,1,13,1,7,1,9,1,13,1,9,1,13,1,9,1,13,2,6,1,8,1,9,3,6,1,28,62,6,1,29,1,6,1,30,2,28,43,30,1,29,3,6,2,13,3,6,1,13,1,7,1,8,1,13,1,7,1,8,1,7,1,8,2,9,2,8,1,13,1,8,2,9,1,8,1,9,1,24,1,10,1,24,2,13,1,11,1,5,1,33,71,5,356,13,4,7,1,30,1,7,1,30,1,6,2,29,1,7,1,29,1,7,2,13,1,29,1,7,1,13,1,12,2,17,17,12,1,9,1,17,1,11,2,17,1,11,1,12,2,17,1,10,1,17,74,11,3,9,1,13,1,17,1,9,1,17,3,12,1,17,1,12,2,17,1,9,2,10,1,24,1,11,2,24,1,11,1,10,3,17,3,9,1,13,3,7,1,13,1,8,1,13,1,9,1,7,1,8,1,11,1,8,1,28,2,6,1,30,3,28,5,6,1,28,1,30,1,7,1,9,1,8,1,9,1,10,1,9,1,11,1,10,1,17,1,13,1,9,1,10,1,9,1,11,3,9,1,11,1,9,1,16,1,9,1,11,4,9,1,11,1,10,1,11,2,9,2,11,1,16,1,17,1,16,1,9,2,10,1,9,1,16,1,9,3,11,1,13,1,9,3,8,1,13,1,6,1,13,1,6,1,29,1,9,4,13,1,9,1,13,3,8,1,9,1,13,1,8,1,9,1,10,1,9,1,8,1,9,4,11,1,9,1,11,1,12,1,11,1,10,1,9,3,8,3,13,1,8,1,13,1,8,1,13,2,9,1,13,1,8,3,9,1,8,1,11,1,8,1,9,1,8,1,11,1,10,2,9,2,17,3,12,1,11,1,17,1,11,1,17,2,12,1,8,1,7,1,13,1,7,1,9,1,17,2,9,1,12,1,11,1,9,1,11,1,8,1,10,1,17,1,16,1,17,1,9,1,16,1,17,5,16,1,9,1,10,1,11,1,8,2,9,1,12,1,11,1,17,1,12,1,11,1,9,1,17,1,10,1,17,1,12,4,10,1,24,2,9,1,10,1,24,1,13,1,24,2,13,2,25,1,8,1,7,1,8,1,30,2,13,1,24,1,8,1,13,1,24,1,9,1,7,1,8,1,17,10,10,1,24,1,9,1,10,2,24,1,8,2,9,1,15,1,17,6,12,1,17,14,12,1,17,3,12,1,10,1,9,2,17,3,16,1,17,9,12,1,10,1,11,2,17,5,9,1,12,1,8,1,10,1,8,1,9,1,13,1,28,3,30,1,28,102,9,1,8,1,7,1,30,1,28,124,30,1,28,2,30,1,6,1,30,1,13,3,8,1,13,2,10,1,8,1,13,4,10,1,7,1,13,1,8,1,24,1,8,1,13,2,8,2,13,1,7,1,13,1,7,1,9,1,24,1,9,1,12,1,6,2,9,1,8,1,13,1,9,1,8,1,12,1,9,4,11,1,9,3,10,1,8,1,9,1,11,1,13,3,9,4,7,1,17,1,8,2,10,1,13,1,8,1,10,1,8,1,13,1,8,1,13,1,7,2,13,1,29,1,6,1,29,1,6,1,30,1,28,1,30,1,28,66,30,1,12,2,10,1,13,1,9,2,8,5,9,1,8,2,9,1,8,1,10,1,8,1,10,2,9,3,8,2,9,1,11,1,12,1,17,1,12,2,17,2,9,1,17,1,11,4,9,4,13,1,11,1,13,1,8,2,13,1,7,1,13,1,6,1,13,2,6,1,7,1,13,1,9,1,7,1,13,4,7,1,13,1,7,1,13,4,8,1,13,3,7,2,13,3,6,1,13,1,30,1,7,1,13,1,9,1,8,1,13,1,8,3,9,2,11,1,9,2,11,1,10,1,9,3,11,1,10,2,17,1,12,1,8,1,9,2,13,1,9,1,13,2,10,1,13,1,9,1,29,1,7,1,6,1,28,1,7,1,29,1,30,2,28,1,30,2,28,1,30,1,28,1,6,1,30,2,6,1,28,1,6,1,30,1,9,1,12,1,10,1,8,1,13,1,30,1,8,1,13,1,9,1,6,1,9,1,8,1,13,2,8,3,13,1,9,1,7,1,8,2,9,1,10,1,8,1,11,1,17,1,11,1,17,1,10,1,12,1,17,1,10,1,11,1,9,1,11,2,12,1,17,1,11,2,12,1,11,1,17,1,11,3,10,1,11,3,17,1,12,1,9,1,13,1,28,1,5,66,28,10,9,1,14,2,11,1,17,1,9,1,8,2,13,1,29,1,28,1,30,1,6,1,29,1,24,1,10,1,9,1,8,1,30,1,28,5,13,1,24,1,7,1,30,1,7,1,13,1,7,1,28,28,9,1,10,1,7,1,30,2,6,1,13,1,14,1,}, {30,1,6,1,12,1,17,1,13,1,28,5,30,2,28,10,30,1,28,18,30,1,6,1,30,1,28,1,24,1,12,1,9,3,17,1,14,1,9,1,6,2,29,1,6,1,30,1,6,1,17,3,9,2,12,1,16,1,9,2,8,2,13,2,17,1,16,1,8,1,6,2,7,1,6,2,11,1,16,1,12,1,17,1,9,1,13,1,9,2,24,1,9,2,17,2,9,1,8,3,9,1,13,1,8,1,29,1,28,3,29,1,28,4,29,1,28,14,6,3,8,3,11,1,9,1,24,1,6,1,29,1,28,1,29,1,30,1,28,1,29,1,7,1,8,1,12,1,17,1,11,1,24,1,13,1,24,2,8,1,13,3,6,1,8,4,14,1,24,1,30,1,28,2,30,1,28,11,11,1,17,2,9,1,10,1,13,2,9,3,16,1,9,1,16,1,9,6,13,1,8,1,30,1,9,1,13,1,11,1,13,1,9,1,13,1,9,1,13,1,11,1,9,4,13,1,9,2,16,1,8,1,16,1,10,1,6,1,28,128,30,1,28,26,30,1,6,1,28,1,30,2,6,1,29,1,6,1,30,1,28,32,30,1,28,4,30,1,28,2,29,1,28,52,30,1,6,1,24,1,7,1,13,1,8,2,6,1,29,1,7,1,24,1,30,1,24,1,8,2,24,2,10,1,8,1,9,1,8,1,9,1,11,1,24,1,12,1,8,1,12,1,17,3,11,2,17,3,11,1,17,3,12,1,17,8,12,2,17,1,12,1,17,11,9,1,11,1,13,1,8,1,9,1,13,1,9,2,13,1,9,3,13,2,9,1,8,1,13,1,8,1,9,4,13,3,9,1,6,1,13,1,6,1,13,3,6,1,8,1,7,1,9,1,13,3,9,1,6,1,8,2,9,1,13,1,9,1,16,1,9,3,13,2,16,1,13,1,8,1,9,3,11,1,9,2,8,1,9,1,6,1,13,1,9,1,13,6,7,1,13,1,8,2,9,1,13,2,9,1,13,1,9,2,13,1,9,2,11,1,9,1,16,1,9,1,13,1,8,1,13,1,7,1,8,1,13,1,8,1,9,1,13,2,8,1,13,2,8,2,13,1,9,1,13,1,10,1,16,1,13,2,8,2,13,3,8,1,13,1,8,1,13,1,9,3,11,1,13,1,28,8,30,1,28,53,30,1,6,1,30,1,6,2,29,1,28,43,29,2,6,1,29,1,6,2,13,1,30,1,13,1,7,1,13,3,8,1,6,1,24,1,13,1,7,1,12,1,24,1,8,2,13,2,10,1,8,1,9,1,8,2,24,2,8,2,9,2,33,75,5,353,13,1,6,1,7,3,6,1,29,1,6,1,29,1,30,1,29,1,6,1,13,1,30,1,29,1,7,3,13,1,24,1,12,2,17,19,12,1,17,1,12,1,17,2,12,1,9,1,12,2,17,74,12,1,9,2,13,1,11,1,12,2,17,3,12,1,17,1,12,2,8,1,12,1,10,1,9,1,11,1,24,1,9,1,12,1,8,1,12,1,17,1,12,1,17,1,12,1,10,1,13,1,7,1,6,1,13,2,8,2,13,3,12,1,6,1,28,1,30,1,28,1,30,1,6,1,28,6,6,1,29,1,6,1,7,1,9,3,11,3,9,1,16,1,11,6,10,1,11,1,9,2,11,1,9,1,16,1,11,1,10,1,11,1,10,1,11,1,9,1,11,3,9,2,17,1,16,1,11,2,9,1,11,2,9,1,10,1,9,3,10,2,13,1,10,1,6,1,8,1,13,4,9,5,6,1,29,1,13,2,9,4,13,1,8,2,9,1,8,1,9,3,11,4,10,1,11,2,9,1,13,1,9,2,8,3,13,1,9,1,13,1,8,1,9,3,13,1,8,1,13,1,9,1,8,1,9,1,11,1,9,2,10,1,9,2,17,9,9,1,13,1,28,1,13,1,8,1,30,1,12,1,17,1,8,1,13,2,9,3,11,2,17,1,9,1,12,1,16,2,10,1,17,1,16,1,17,2,9,3,10,1,24,1,10,2,17,1,8,1,12,1,10,1,12,1,24,1,8,1,12,1,9,1,24,1,12,3,10,1,13,1,24,1,8,2,24,1,13,1,8,1,24,1,8,3,7,1,13,1,7,1,8,2,6,1,13,1,24,1,8,2,13,1,8,2,11,1,17,8,12,2,24,2,10,1,8,2,24,1,7,1,13,1,14,1,12,1,8,1,6,1,8,1,6,2,29,1,24,1,17,2,13,1,29,1,6,1,28,1,30,1,8,1,16,1,17,4,16,1,12,1,16,1,17,1,9,2,10,1,17,5,11,2,17,1,11,1,17,5,12,2,17,1,11,1,8,1,17,4,11,2,12,1,10,1,11,1,9,1,10,1,9,1,29,1,28,104,13,1,8,1,13,1,28,125,30,2,28,1,29,1,6,1,28,1,30,1,13,1,9,1,8,2,9,2,13,1,9,3,13,2,24,1,7,1,8,2,24,1,9,1,8,3,13,4,8,1,13,1,8,2,13,1,9,1,8,3,9,1,8,1,13,1,9,1,8,1,10,1,9,1,8,1,9,1,10,1,12,1,9,1,13,1,10,1,8,2,9,2,13,1,8,1,9,2,10,1,8,1,11,1,8,1,9,1,13,1,9,1,8,1,13,2,8,2,13,1,8,1,13,1,6,5,30,1,29,1,6,1,28,66,30,1,28,2,9,1,10,3,9,1,8,1,13,3,8,2,13,1,8,1,9,2,11,1,8,1,9,6,11,2,10,1,12,2,17,7,12,1,17,1,11,1,9,1,11,1,9,1,8,1,9,1,8,1,9,3,13,5,8,1,9,1,13,1,9,1,13,2,7,1,13,1,8,1,13,1,8,3,7,1,13,2,8,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,3,8,1,13,1,9,1,13,2,9,1,10,1,13,1,9,1,8,1,9,1,10,1,17,1,9,1,10,1,9,3,11,1,9,1,8,1,9,3,13,2,9,1,13,1,8,1,9,1,8,1,13,1,7,1,30,1,29,2,30,2,28,1,30,2,28,2,30,1,6,1,29,1,28,2,6,2,28,1,6,1,12,1,10,1,8,1,13,1,30,1,13,3,7,1,13,2,6,1,13,2,9,2,8,1,9,1,8,1,13,3,8,1,9,1,8,3,10,1,11,2,17,1,11,2,10,1,9,1,11,1,10,1,9,1,17,3,12,1,17,1,12,1,11,2,10,1,17,1,11,1,17,1,12,1,11,1,12,1,11,1,13,2,5,66,28,10,14,2,17,1,16,1,24,1,9,1,8,1,13,1,30,1,29,1,30,1,29,2,6,1,9,1,12,2,8,1,28,6,13,1,24,1,6,1,30,1,6,3,28,28,10,1,16,1,29,1,30,1,28,1,7,1,12,1,17,1,}, {6,1,28,1,10,1,15,1,13,1,28,34,30,1,29,1,30,2,13,1,30,1,7,1,12,1,10,1,12,1,11,1,17,2,16,1,13,1,6,1,29,2,6,2,17,2,16,1,10,1,12,1,17,2,9,1,12,1,9,1,13,3,16,1,9,2,13,3,7,1,6,1,13,1,16,1,17,1,9,1,11,1,9,1,24,1,9,1,8,1,6,1,24,1,11,1,16,2,9,1,8,1,13,1,24,1,8,1,7,1,29,1,28,22,30,4,6,1,7,1,8,1,10,1,12,1,24,1,30,1,28,4,30,1,28,1,13,1,8,1,10,2,13,1,8,1,13,2,24,1,9,2,6,2,13,1,8,1,13,2,11,1,14,1,8,1,28,3,30,1,28,1,30,2,28,2,30,1,28,5,16,1,9,1,16,1,9,1,10,2,9,3,11,1,9,1,16,1,9,1,13,1,16,1,8,2,11,1,9,2,11,1,9,1,11,1,9,1,13,3,11,1,8,1,13,1,9,1,13,3,9,1,11,1,9,2,16,1,9,1,16,1,9,1,6,1,28,1,30,1,28,123,6,1,30,1,28,1,30,1,28,8,30,1,28,9,30,1,28,3,30,2,28,2,30,3,8,1,29,1,7,1,6,2,30,1,29,1,28,1,30,1,28,37,30,1,28,2,30,1,28,5,30,1,28,42,6,1,7,1,29,1,13,1,7,1,8,1,30,1,24,2,13,1,8,1,7,2,13,1,7,1,8,1,9,1,13,1,24,3,10,1,11,1,9,1,10,1,12,1,9,1,10,1,9,1,17,6,11,1,17,1,16,1,17,4,9,1,17,2,12,3,17,4,12,2,17,9,16,1,9,1,13,1,9,1,13,1,16,1,8,1,13,1,9,1,13,2,8,2,13,2,8,1,13,4,6,1,13,4,6,1,13,1,6,1,13,2,9,1,13,1,8,2,11,1,13,2,8,1,13,3,8,2,13,1,9,1,13,2,9,1,13,1,8,1,13,1,9,1,8,1,9,2,13,1,9,1,13,1,9,1,30,1,6,1,8,1,13,1,8,1,13,1,9,1,8,1,13,3,8,1,13,2,9,1,6,1,8,1,13,3,9,1,13,1,9,1,13,3,11,1,9,2,11,2,9,1,8,2,9,1,8,2,13,2,8,1,13,4,9,1,8,2,13,2,9,4,13,1,8,2,13,2,9,1,8,2,13,2,9,3,28,61,30,1,28,1,30,1,6,1,30,2,29,1,30,1,28,2,30,1,28,41,30,1,28,1,29,2,6,1,30,1,13,1,6,1,8,1,13,1,8,1,13,3,8,1,13,2,10,1,8,1,13,1,24,1,13,1,8,1,24,1,8,1,24,1,9,1,8,1,24,1,8,1,13,1,9,4,5,1,33,78,5,349,11,1,13,1,6,1,8,1,13,1,6,1,7,1,29,2,6,1,30,1,28,1,7,1,6,6,9,1,10,1,17,20,12,1,17,4,11,1,17,1,11,2,12,1,17,1,11,1,17,1,11,1,12,1,17,66,12,1,9,1,10,1,9,1,13,2,12,1,17,6,12,1,10,1,12,2,17,1,9,1,12,1,24,1,8,1,10,2,11,1,17,4,12,1,24,1,8,1,24,1,8,1,13,1,7,1,8,1,28,1,13,1,7,1,29,1,17,1,13,1,28,1,29,1,28,1,30,1,29,1,30,1,28,3,29,2,30,1,6,1,13,1,8,1,9,1,11,1,10,1,9,1,16,1,11,2,9,1,11,3,9,1,10,1,11,1,17,1,11,3,9,1,16,1,11,5,16,1,11,1,9,2,11,1,10,1,17,2,16,2,11,4,9,1,11,2,9,3,11,1,10,1,9,1,11,1,9,1,8,1,10,1,9,1,13,1,9,2,8,1,10,1,8,1,13,2,7,2,9,2,8,1,9,2,8,1,9,6,10,1,11,2,9,1,10,1,11,1,12,1,13,1,11,1,13,1,8,1,13,1,8,2,13,1,9,2,8,2,9,2,13,1,9,2,13,1,9,3,10,1,9,4,11,1,17,3,9,1,17,2,8,1,30,3,6,1,8,2,13,1,17,2,13,1,24,3,12,1,8,1,15,1,16,2,17,1,16,1,9,3,11,1,17,2,16,1,9,1,8,2,13,2,9,1,10,1,12,1,13,1,8,1,12,1,13,1,8,2,13,1,10,2,24,1,8,1,12,1,24,1,8,1,24,1,8,4,24,3,6,1,24,2,8,1,24,2,6,1,7,1,13,1,24,1,13,1,9,1,13,1,24,1,9,1,12,1,17,9,10,1,8,1,24,1,8,2,24,2,7,1,8,1,24,1,29,1,27,1,29,1,7,1,30,1,29,1,9,1,17,1,24,1,29,1,30,1,6,4,7,1,30,1,6,1,9,1,17,1,12,1,16,1,17,1,10,1,9,2,8,1,17,5,16,1,11,3,17,5,16,1,11,1,16,1,11,1,16,1,11,1,17,8,11,1,12,1,10,1,9,1,8,2,30,1,28,39,7,1,28,62,8,1,13,1,8,1,28,127,30,1,28,1,6,2,7,1,6,1,9,1,8,1,10,1,8,1,9,2,8,2,9,1,8,1,13,1,8,2,11,1,24,1,13,1,8,1,13,1,9,1,8,1,13,1,24,1,13,4,24,1,9,1,13,1,8,1,13,1,8,1,9,2,10,1,8,1,9,1,8,1,13,1,8,2,24,1,10,1,13,1,9,1,8,1,9,2,11,1,9,1,10,1,8,1,24,1,8,1,24,1,9,1,13,1,9,3,8,1,9,1,13,1,8,1,24,1,13,1,8,1,13,4,29,1,6,3,29,2,28,1,29,1,28,66,29,1,30,1,28,1,30,1,13,3,9,2,8,1,9,1,8,2,10,1,9,1,13,2,11,1,8,1,13,1,8,4,9,3,10,1,11,1,17,10,11,1,12,1,10,2,11,1,17,1,10,1,8,1,11,1,9,3,10,1,9,2,8,1,13,1,8,2,13,2,10,1,13,1,8,1,9,1,13,1,8,1,13,1,9,2,8,4,9,2,8,2,9,4,8,1,9,2,13,1,10,1,9,1,13,1,9,2,13,1,8,3,9,2,8,1,9,1,17,3,11,1,13,1,8,1,13,2,9,1,8,4,13,3,6,2,7,1,6,1,29,1,6,1,30,1,28,3,30,1,28,2,29,1,28,4,29,1,30,1,9,1,11,1,8,3,7,1,13,2,8,1,9,1,13,4,8,1,13,6,8,1,9,1,7,1,13,1,9,1,13,1,9,1,10,1,9,1,10,3,11,4,17,1,9,2,11,2,10,1,12,1,11,2,17,1,11,1,12,1,11,2,17,3,12,1,9,1,5,67,28,10,16,1,17,1,16,1,11,1,8,3,6,1,8,1,7,1,30,1,6,1,30,1,6,1,8,1,9,1,12,1,8,1,28,6,13,1,10,1,6,1,30,1,29,1,6,1,30,1,28,28,16,1,9,1,13,1,6,1,8,1,7,1,9,1,17,1,}, {29,1,30,1,12,1,17,1,6,1,30,1,28,5,30,2,28,27,6,1,28,1,6,1,29,1,28,1,8,1,10,1,9,2,12,1,16,1,17,1,9,1,13,1,28,1,6,1,30,1,28,1,30,1,12,1,17,1,16,2,10,1,12,1,17,1,16,1,9,2,8,1,13,2,16,1,17,1,13,2,6,1,8,1,30,1,13,1,9,1,12,1,16,2,9,1,10,2,9,2,13,1,9,1,16,1,17,2,9,1,8,1,9,1,13,1,8,2,7,1,28,23,6,1,13,1,29,1,13,3,9,2,8,1,13,1,30,2,28,3,30,1,8,1,11,1,8,1,9,1,10,2,8,1,24,1,9,1,8,1,24,1,6,1,13,2,24,1,13,1,24,1,14,2,13,1,30,1,28,2,30,1,28,7,30,1,28,3,10,1,17,1,11,1,16,1,9,2,13,1,11,1,13,1,9,2,13,1,8,1,9,4,11,1,9,3,11,1,13,1,9,1,13,1,9,4,16,1,13,1,9,3,16,1,8,1,9,1,8,1,11,1,9,2,10,1,8,1,30,1,28,120,30,1,28,8,30,1,28,6,30,1,28,11,6,2,29,1,28,1,7,1,6,1,29,1,6,3,7,1,29,2,6,1,28,1,30,1,28,1,6,1,28,36,29,1,28,2,30,2,28,48,30,1,6,1,29,1,30,1,24,1,6,1,13,1,24,1,8,1,6,1,8,1,6,1,24,1,8,1,13,1,9,1,24,1,8,1,13,1,9,1,24,2,9,2,12,1,10,1,17,2,16,2,17,1,11,1,17,5,16,1,17,2,9,1,17,3,10,1,17,1,12,1,17,1,12,2,17,12,16,1,11,1,9,1,13,3,9,6,16,1,9,2,8,1,9,1,8,1,13,2,8,1,13,2,6,1,13,8,9,2,13,5,11,1,13,1,8,1,9,3,8,1,13,1,9,3,8,2,9,1,13,1,9,1,13,2,9,1,8,1,9,2,13,1,9,1,13,2,8,1,13,2,6,1,13,2,8,1,6,1,9,1,13,2,9,1,8,1,13,3,9,1,13,4,9,1,8,1,9,4,10,1,9,1,13,1,9,1,13,1,9,2,30,1,6,1,13,5,11,1,9,2,13,1,9,1,11,1,9,2,13,1,8,1,13,1,9,1,13,1,9,1,16,1,11,2,8,1,28,62,30,2,29,2,30,1,13,1,7,1,13,1,6,1,28,1,29,1,28,42,30,1,28,1,30,1,29,1,28,1,6,1,7,1,13,1,8,3,7,1,8,1,29,1,13,1,24,1,7,1,10,1,13,1,8,3,10,1,7,1,8,1,7,1,8,1,24,2,13,1,24,2,9,1,8,1,9,1,5,1,33,81,5,347,9,1,13,2,7,2,13,1,6,1,29,1,6,1,30,1,6,1,29,1,7,1,30,1,7,1,29,1,7,1,6,1,13,1,9,1,10,1,12,1,17,19,12,1,17,3,10,1,11,4,10,1,17,2,11,1,17,65,12,1,17,1,12,1,9,2,8,1,13,1,11,1,12,1,17,3,12,1,17,1,11,1,17,1,9,1,8,1,24,1,9,1,12,1,13,1,12,1,10,1,11,1,12,1,17,5,12,1,13,2,8,1,9,1,24,1,8,1,13,2,6,1,13,1,7,1,10,1,8,1,28,1,6,1,30,1,6,1,13,1,6,1,30,1,28,1,30,1,6,2,13,1,6,1,13,1,9,4,16,1,11,1,16,1,11,1,16,1,11,2,16,1,11,3,16,1,11,1,10,1,11,1,16,1,11,8,16,1,11,1,16,1,17,4,16,2,11,1,9,1,11,1,10,1,16,1,11,1,9,2,11,1,9,2,11,1,8,1,11,1,9,1,11,1,9,1,13,2,16,1,9,1,10,1,13,3,8,1,9,2,10,1,9,1,11,1,9,1,8,1,9,1,13,1,11,1,9,2,10,1,8,1,9,2,11,5,9,4,8,3,13,1,8,1,9,3,8,2,9,7,8,1,9,2,13,1,17,3,13,1,17,2,9,1,7,1,28,2,6,1,24,1,13,1,8,1,17,1,14,1,9,1,13,1,9,1,7,1,8,2,9,1,10,1,17,1,10,2,9,1,8,2,9,2,16,1,11,1,24,1,9,1,7,1,13,1,6,2,10,1,24,1,9,1,13,1,24,1,8,2,13,1,6,1,13,1,12,1,7,1,6,1,8,1,9,1,24,1,10,1,8,1,7,1,13,1,24,1,8,1,7,1,8,2,6,1,8,1,24,1,29,1,24,1,7,1,24,1,7,1,13,1,7,1,8,1,10,2,13,1,24,1,11,1,17,1,11,1,17,1,12,1,17,1,11,1,17,2,12,1,24,1,7,1,8,1,13,1,8,1,24,1,10,1,15,1,12,1,27,1,29,3,27,1,25,1,7,1,17,1,8,1,28,1,6,1,30,1,26,1,27,2,29,1,8,1,6,2,7,1,17,2,11,1,17,1,16,2,11,1,17,7,12,1,17,5,16,1,11,1,9,1,8,1,16,1,11,1,16,1,11,1,17,10,9,1,8,1,9,1,11,1,8,1,7,1,28,32,13,1,17,3,10,1,8,1,17,1,11,1,9,1,8,1,11,1,13,3,30,1,28,1,30,1,28,51,7,1,6,1,8,1,13,1,28,125,30,1,28,1,6,1,28,1,30,1,29,1,13,2,8,1,9,3,24,1,9,1,8,2,10,1,13,1,8,1,9,2,13,1,11,1,13,2,8,2,13,1,9,2,8,2,9,1,8,1,9,1,8,1,10,1,9,3,8,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,10,1,9,2,13,1,8,3,9,1,8,1,10,1,8,1,24,1,8,1,24,1,8,1,24,1,9,1,8,1,10,1,9,3,8,1,24,1,8,2,7,1,13,1,7,1,13,1,7,2,29,1,6,1,7,1,30,1,29,2,28,2,30,1,28,70,30,1,6,1,13,1,10,1,12,1,9,3,12,1,8,1,13,2,9,2,13,1,9,2,8,1,9,1,10,1,9,2,11,1,17,13,12,2,17,1,11,4,10,1,11,2,9,2,10,2,9,2,10,2,13,1,9,2,8,2,13,5,9,1,13,1,10,1,13,1,8,1,9,2,13,2,7,1,8,1,13,1,9,1,8,1,9,1,8,1,10,1,8,1,13,1,8,1,10,1,8,1,11,1,9,2,13,1,10,1,9,2,17,1,12,1,9,2,8,2,13,1,8,1,13,1,8,1,13,2,6,1,9,1,6,1,7,1,13,1,7,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,6,2,30,1,29,1,9,1,11,1,17,1,13,1,6,1,7,1,8,1,13,3,9,1,13,4,8,1,13,2,7,1,13,2,6,1,10,1,13,3,9,1,13,3,9,3,17,1,11,1,10,2,9,1,8,1,11,3,9,1,17,1,9,1,11,1,10,1,17,1,11,1,17,1,12,1,11,1,17,4,13,1,5,67,28,10,16,1,17,3,24,1,8,1,9,1,7,1,6,1,29,2,6,1,28,1,29,1,8,2,12,1,13,1,28,6,8,1,24,1,6,1,29,2,6,1,28,29,11,1,9,1,30,1,6,1,28,1,13,1,12,1,17,1,}, {29,2,13,1,14,1,7,1,28,5,30,1,28,2,30,1,28,25,30,4,28,1,6,2,24,1,11,1,9,2,17,2,9,1,7,1,28,1,30,1,6,3,12,1,17,1,10,1,11,1,9,1,17,2,12,1,13,2,7,1,8,1,28,1,16,1,17,1,10,1,13,1,6,1,13,1,7,1,8,1,9,1,17,2,11,1,8,1,12,1,9,3,7,1,10,1,17,2,11,2,9,1,24,1,8,1,9,1,13,1,6,1,30,1,28,22,6,1,13,2,6,1,13,2,9,1,10,1,24,1,29,1,28,3,30,1,29,1,28,1,13,1,10,1,12,1,8,2,6,2,11,1,13,1,9,1,8,1,7,1,13,2,8,2,9,1,14,2,9,1,6,2,30,1,28,3,29,1,28,8,10,1,11,1,16,2,10,1,11,1,9,3,11,1,9,2,16,1,9,2,13,1,11,1,9,4,13,2,11,1,9,1,11,1,9,1,8,1,13,1,9,3,11,1,9,4,11,1,9,1,11,3,9,1,13,1,28,116,30,1,28,8,30,1,28,10,30,1,29,1,28,10,30,1,29,1,6,4,30,1,13,1,29,1,7,1,30,1,7,1,6,2,28,1,30,1,28,14,30,1,28,14,29,1,28,4,29,1,28,2,30,1,28,49,30,1,28,1,6,2,13,1,6,1,13,1,29,1,24,1,30,1,8,1,7,1,8,3,13,1,6,1,24,1,13,1,10,1,8,1,10,1,8,1,10,1,8,1,10,1,17,1,24,1,17,1,9,1,11,1,9,1,17,1,9,1,12,1,17,1,11,1,17,5,12,1,11,1,17,5,11,1,17,6,11,1,12,1,10,1,17,8,9,2,13,1,9,1,13,2,6,1,8,1,13,2,9,2,13,1,9,2,13,5,9,1,13,1,8,1,13,3,6,1,13,3,6,1,13,6,8,1,13,2,9,1,13,1,9,2,13,1,8,1,13,1,9,3,8,2,9,1,11,1,13,3,9,1,8,1,13,1,8,1,9,1,13,4,8,1,9,1,6,1,13,1,9,1,13,1,8,1,13,1,6,1,13,5,9,1,13,1,9,1,13,1,9,1,13,1,11,1,9,2,11,3,8,1,9,2,13,1,6,1,13,2,6,1,13,3,8,1,7,1,9,1,8,1,13,1,9,1,17,1,16,1,8,1,9,1,13,2,9,2,13,1,10,1,8,2,28,65,30,1,29,1,7,1,8,1,13,1,6,1,29,1,6,1,30,1,28,46,30,1,29,1,13,1,7,1,6,1,13,4,8,1,9,1,13,1,24,1,8,1,11,1,8,1,24,2,8,1,13,1,8,1,9,1,24,1,8,2,24,2,9,2,8,2,13,1,5,1,33,85,5,344,13,3,7,3,13,1,6,1,30,1,6,1,13,1,29,1,30,1,6,1,28,1,6,2,9,1,13,1,10,1,17,1,11,1,17,14,12,1,17,2,12,1,17,3,11,1,17,1,11,1,12,2,17,1,11,2,17,67,11,1,17,1,11,1,12,1,8,1,9,1,12,1,17,1,12,1,17,7,8,1,10,1,12,1,11,1,8,1,10,1,11,1,9,1,10,1,12,1,17,4,10,2,13,1,8,1,13,1,7,1,8,3,6,1,13,1,7,1,13,2,9,1,28,2,29,1,7,1,6,1,30,2,6,2,13,2,6,2,13,1,8,1,11,1,10,1,11,1,17,1,11,2,10,1,16,1,11,1,16,1,11,2,10,1,11,1,16,2,10,1,16,2,10,2,11,3,10,1,9,1,10,1,11,2,16,1,17,4,16,2,11,1,10,1,11,2,9,1,16,3,9,1,11,2,9,1,11,1,9,1,10,2,9,7,6,1,7,1,8,1,13,1,9,2,8,1,10,1,8,1,11,1,13,1,9,1,11,1,9,4,11,1,8,1,11,1,9,1,11,2,10,1,11,1,9,2,13,1,8,1,13,1,8,1,9,1,10,1,8,2,9,1,8,1,9,3,10,1,9,2,11,2,9,1,17,1,8,1,11,1,17,1,11,1,13,2,11,1,17,1,6,1,30,2,7,1,6,1,8,1,12,1,17,1,14,2,8,3,29,1,8,1,9,1,15,1,17,1,9,2,8,1,10,1,7,1,8,1,6,1,12,2,24,1,28,1,8,1,13,1,6,1,8,1,6,2,8,1,9,1,7,1,6,1,13,2,6,1,7,2,24,1,13,2,7,2,8,1,24,1,8,2,7,1,29,1,13,1,8,1,6,1,13,1,7,1,24,2,6,1,7,1,8,1,7,2,6,2,8,1,6,1,8,1,13,2,12,2,17,3,11,1,12,1,17,1,12,2,9,1,13,1,8,1,10,1,24,1,12,1,24,1,15,1,29,1,28,1,29,1,25,2,27,1,26,1,15,1,14,1,28,1,29,1,28,2,27,1,28,1,27,1,26,1,6,1,28,1,30,1,8,1,12,1,17,17,8,1,11,1,10,1,13,1,9,4,10,1,11,1,17,11,9,1,11,1,8,1,9,1,10,1,13,1,7,1,28,25,30,1,9,1,17,14,9,1,17,1,12,1,8,2,13,1,28,4,30,1,28,46,13,3,30,1,28,126,30,1,28,3,30,1,7,1,29,1,8,6,9,1,8,1,24,1,8,1,24,1,13,1,8,1,9,1,8,1,24,1,8,2,24,1,13,1,8,1,10,1,8,1,7,1,8,2,9,1,8,1,10,1,8,1,10,1,8,1,13,1,8,1,9,2,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,24,1,9,1,13,1,24,2,17,1,13,1,24,2,9,2,13,1,9,3,8,1,9,1,10,1,9,1,13,1,24,1,13,1,7,1,8,1,13,1,7,1,6,2,13,1,6,1,28,2,6,1,28,2,29,1,30,1,28,2,30,1,28,71,30,1,29,1,11,2,9,2,10,1,8,2,9,1,13,2,8,1,9,1,8,2,9,2,11,1,9,1,10,1,17,7,12,1,17,3,12,1,17,2,12,1,17,2,11,1,17,1,10,1,17,1,10,1,17,1,9,2,12,1,9,1,10,1,9,5,13,1,9,1,8,2,9,1,8,2,9,1,13,1,8,1,9,1,13,1,9,1,8,1,11,1,13,3,9,2,13,1,9,1,13,2,9,1,10,1,8,1,11,1,10,1,11,1,9,1,8,1,11,1,9,1,11,1,12,1,9,2,11,1,9,3,8,2,13,2,9,1,13,1,9,2,13,1,30,1,13,1,8,1,13,1,28,4,30,2,28,1,30,2,28,1,9,1,13,1,17,1,11,1,13,1,6,1,30,2,7,1,8,2,13,2,9,1,13,1,8,1,9,1,13,3,8,1,13,2,8,2,13,1,8,1,13,1,9,1,13,1,8,2,9,1,8,1,9,4,17,1,9,1,11,2,9,3,8,1,10,1,11,1,17,1,10,1,11,1,17,1,11,1,17,1,11,1,17,3,11,1,9,1,5,67,28,9,30,1,16,1,17,1,11,1,17,1,8,1,24,1,13,2,6,1,29,1,6,1,29,1,30,2,13,1,9,1,11,1,8,1,28,6,13,1,8,1,6,2,28,1,7,1,6,1,28,28,8,1,9,1,6,1,29,1,6,1,7,1,12,1,17,1,}, {29,2,13,1,17,1,13,1,28,4,29,1,28,1,29,1,28,1,29,1,28,28,30,1,29,2,6,1,9,1,15,1,10,1,11,1,17,2,10,1,6,2,29,1,30,1,6,1,30,1,10,1,17,1,10,1,17,1,10,1,9,1,17,1,9,1,13,1,6,4,9,1,17,1,7,1,13,2,8,2,7,1,13,1,17,2,9,1,11,1,8,1,24,2,8,1,13,1,10,1,17,2,11,1,24,1,13,1,8,1,13,1,8,1,10,1,6,1,28,23,6,3,13,1,8,4,24,1,30,1,7,1,29,1,28,3,30,1,13,1,8,1,17,2,8,2,13,1,9,1,8,2,24,1,6,2,13,3,9,1,15,1,14,1,13,1,6,1,28,7,30,1,28,6,13,1,11,1,16,1,11,2,9,1,10,1,9,1,10,1,9,2,8,1,9,1,16,1,13,1,9,7,13,3,9,1,13,2,11,1,9,3,11,1,9,2,16,1,13,1,9,1,16,1,11,1,9,1,11,1,9,1,6,1,28,1,30,1,28,87,30,1,28,26,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,6,30,2,28,9,30,1,28,1,6,1,30,1,29,1,28,1,6,1,30,1,6,1,29,1,6,1,29,1,6,2,29,1,28,2,29,1,28,25,30,1,28,10,30,1,28,5,30,1,28,9,30,1,28,33,30,1,29,1,30,2,29,1,30,1,29,2,6,1,8,1,7,1,29,1,7,1,8,1,6,1,7,1,6,1,8,1,24,1,8,1,24,1,8,1,24,1,9,3,8,1,17,1,11,1,9,1,10,1,12,2,17,1,10,1,11,2,17,1,11,1,17,5,12,1,17,4,12,2,17,3,12,1,17,1,9,1,17,5,16,1,17,3,12,1,17,2,9,2,6,1,9,1,8,1,13,1,9,1,13,2,9,1,28,1,6,1,13,1,6,1,13,4,9,1,13,3,9,1,6,1,13,1,9,1,13,2,8,1,13,1,8,2,13,3,8,1,13,1,9,1,13,3,9,1,6,1,9,1,6,1,13,4,8,1,13,1,9,3,8,3,13,7,9,1,13,1,9,1,13,3,8,1,13,7,6,2,13,4,8,2,11,1,13,1,9,2,11,1,9,1,8,1,9,1,13,4,6,2,9,1,13,2,8,1,13,2,9,1,13,1,11,1,16,1,9,1,13,2,11,1,9,2,11,1,9,1,13,1,28,64,30,3,6,2,13,1,6,1,24,1,8,1,30,1,6,1,30,1,28,21,29,1,28,24,6,1,30,1,6,2,7,1,13,2,7,1,13,1,6,1,13,1,8,2,24,2,12,1,8,1,10,1,8,2,12,1,24,2,9,1,8,1,24,1,8,1,13,1,9,2,11,1,9,1,5,1,33,90,5,339,11,1,13,1,8,1,7,2,8,1,6,2,7,1,6,4,7,2,6,1,7,1,13,1,7,1,24,1,17,1,12,1,17,18,12,1,17,2,12,1,11,2,10,1,11,1,17,1,11,1,12,1,11,1,17,67,10,1,11,2,10,1,17,3,12,1,17,4,10,1,24,1,12,1,8,1,9,1,11,2,9,1,12,1,8,1,9,2,12,2,17,3,12,1,9,1,7,1,24,1,8,2,24,1,10,1,13,2,8,2,12,1,13,1,9,1,6,1,28,1,30,1,6,1,7,2,29,1,30,1,6,1,13,3,24,1,9,2,12,1,10,1,16,1,17,1,11,5,16,1,11,2,9,1,16,3,10,1,11,4,16,2,9,1,16,1,11,1,16,1,17,2,16,2,17,2,16,4,9,2,16,1,11,3,16,1,9,1,11,2,16,1,11,1,9,2,11,2,9,2,10,1,9,3,13,1,9,1,13,1,8,2,9,2,10,2,11,1,9,5,8,1,9,3,8,1,10,1,17,1,11,2,10,1,9,2,13,2,9,2,13,1,8,1,11,1,9,1,8,1,9,5,10,1,16,1,9,5,17,1,9,1,8,1,10,1,12,2,10,1,7,1,30,1,28,1,6,1,7,1,17,2,11,1,10,1,17,1,24,1,8,2,13,1,8,2,14,1,10,1,13,1,24,1,8,2,6,1,7,1,13,1,8,1,17,2,30,1,7,2,6,1,29,1,30,2,29,1,13,2,29,1,13,1,6,1,7,1,6,1,29,1,13,1,6,1,29,1,6,1,30,1,7,1,8,2,6,1,7,1,29,1,6,1,25,1,6,1,8,1,6,1,24,2,13,1,10,1,7,1,24,1,8,1,6,1,28,1,9,1,8,1,6,1,13,1,24,1,10,1,17,1,11,1,17,4,12,2,9,2,13,1,8,1,12,1,9,1,17,1,15,1,12,1,29,1,27,1,28,1,29,1,26,1,27,1,8,1,14,1,8,1,25,1,28,1,29,1,30,1,29,1,30,1,26,1,27,1,8,1,28,1,29,2,16,1,17,12,11,1,17,3,16,1,13,1,9,1,8,1,9,1,11,1,9,2,13,1,9,1,17,13,9,1,11,1,9,2,11,1,10,1,8,1,13,1,28,22,30,1,6,1,13,2,10,1,9,2,17,2,12,1,17,10,12,1,17,3,11,1,13,1,28,47,6,1,9,1,8,1,6,1,28,128,30,1,28,1,30,1,6,1,7,1,29,1,13,1,8,1,13,1,8,1,9,2,13,3,9,1,8,1,9,1,13,2,8,1,13,1,9,1,13,1,24,2,9,1,8,1,24,1,9,1,13,1,24,1,10,1,13,1,24,1,8,2,9,1,10,1,13,1,9,1,13,1,8,2,9,2,13,2,8,1,12,1,10,1,8,1,13,1,9,3,24,1,8,1,9,2,13,1,24,1,9,1,8,1,13,1,10,1,8,1,9,1,8,1,9,1,24,1,8,4,7,1,6,1,13,2,6,1,13,1,6,1,29,1,6,3,30,1,28,1,30,1,29,1,28,75,7,1,8,1,11,2,12,1,8,1,9,3,8,2,13,1,10,2,8,1,10,1,8,1,9,2,17,11,12,1,17,2,12,1,17,2,12,1,17,2,12,1,11,1,17,1,11,2,9,1,10,3,12,1,11,1,10,1,9,1,10,1,9,2,17,1,13,1,8,1,10,1,9,1,8,1,9,1,7,1,9,1,13,1,9,1,13,1,9,2,8,1,10,1,9,3,11,2,10,1,11,1,12,1,17,1,11,1,10,1,9,1,11,1,9,1,17,2,10,1,8,1,9,1,10,1,9,2,8,1,9,1,8,1,13,1,7,1,9,1,8,1,9,1,13,1,9,1,8,1,10,1,13,2,6,1,28,2,6,1,28,1,30,2,29,1,13,1,9,1,10,1,11,1,6,1,30,1,28,1,30,2,6,1,7,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,8,4,13,1,12,1,9,2,8,1,9,1,13,1,8,2,10,1,11,1,9,1,8,1,9,3,10,1,9,1,10,1,9,1,10,3,11,3,9,1,11,1,17,1,11,1,17,3,9,1,5,67,28,10,11,1,17,2,9,1,8,2,13,1,8,1,6,2,13,1,28,1,6,1,13,1,8,1,9,1,12,1,7,1,28,6,24,2,30,1,7,1,30,2,6,1,28,28,17,1,10,1,30,1,29,1,30,1,8,1,10,1,17,1,}, {13,1,6,1,13,1,17,1,13,1,28,4,30,1,28,4,30,1,28,20,30,1,28,4,6,1,28,1,29,2,30,1,13,1,15,1,12,1,15,1,11,1,17,2,16,1,13,1,7,1,6,1,30,1,6,1,28,1,17,2,11,1,9,1,24,1,9,1,24,1,9,1,13,2,30,2,8,1,9,1,12,1,8,1,29,1,7,1,13,3,9,1,16,1,17,1,10,2,8,1,11,1,8,1,13,1,24,1,8,1,17,1,14,1,12,1,6,1,24,2,8,1,10,1,9,1,30,2,28,22,6,1,8,1,24,1,9,1,8,2,24,1,12,1,13,1,6,2,28,2,30,1,28,1,7,1,13,1,9,1,12,1,9,1,10,1,8,1,7,1,6,1,8,1,13,2,7,1,13,1,6,1,9,2,8,1,10,1,24,2,13,1,28,1,29,1,30,1,28,11,13,1,16,3,10,1,16,1,11,1,9,1,11,1,13,1,11,1,9,1,16,1,11,1,8,1,9,3,11,1,9,2,11,1,13,2,9,5,11,1,9,1,11,2,9,8,16,1,11,2,28,123,29,1,28,10,29,1,30,2,28,4,30,1,28,3,30,2,28,1,6,1,28,1,7,4,6,1,8,1,6,1,29,1,6,1,29,1,7,1,29,1,30,2,28,35,30,1,28,2,29,1,28,48,30,4,29,1,13,1,8,2,13,2,6,1,8,2,13,1,7,1,8,2,13,1,9,1,8,1,24,1,9,1,8,1,17,1,9,1,12,4,17,2,16,2,17,2,11,1,17,2,16,1,17,5,12,1,17,5,10,1,17,5,9,1,17,1,12,1,17,1,16,1,17,1,9,1,16,1,17,2,16,1,13,1,9,4,13,1,11,1,13,1,16,1,8,1,9,1,13,1,6,1,13,3,9,1,13,3,8,1,13,6,9,1,13,3,8,1,13,4,9,2,13,3,9,1,13,3,9,1,13,5,9,1,13,2,9,1,13,4,9,1,13,1,28,1,13,2,9,1,13,3,8,1,30,1,13,1,9,2,13,2,6,1,13,2,9,1,7,1,13,1,9,1,13,2,8,2,6,1,11,1,13,1,9,2,8,1,9,1,13,1,9,1,13,3,7,1,8,1,13,2,9,1,13,1,9,1,6,1,9,2,16,1,13,1,8,1,9,4,11,1,9,1,8,1,28,65,30,1,6,1,8,1,28,1,6,3,8,2,6,1,30,1,28,38,29,1,28,5,30,1,29,2,28,1,30,1,29,1,13,1,6,1,7,1,6,1,13,1,24,1,13,1,29,1,24,2,8,1,13,1,10,1,24,1,8,1,9,1,24,1,9,1,13,1,8,1,24,1,8,2,12,1,8,2,24,1,13,1,8,1,5,1,33,93,5,337,9,1,13,1,8,1,13,1,7,3,13,1,7,1,30,1,13,1,6,2,30,1,7,1,13,1,30,1,13,2,10,1,17,23,11,3,10,2,9,1,17,1,11,1,17,2,11,1,17,62,12,3,10,3,17,5,12,1,11,1,10,1,11,2,10,1,17,1,11,2,24,1,10,2,11,3,17,4,12,1,24,1,8,4,12,1,10,1,8,4,9,1,17,1,9,1,11,1,13,1,28,2,6,1,7,2,6,2,7,1,13,2,8,1,9,3,11,2,9,1,16,1,11,4,17,1,11,1,16,1,11,2,16,4,17,1,11,5,9,1,16,2,11,1,17,3,16,6,11,3,9,1,16,1,11,3,16,1,17,1,11,3,9,2,11,1,9,3,10,2,9,2,13,3,9,1,13,1,8,1,11,1,9,6,10,1,9,6,11,2,9,1,11,2,9,2,8,1,9,2,13,1,8,1,13,1,9,6,8,1,9,1,10,1,13,1,10,3,9,1,11,1,17,1,12,1,13,1,17,1,11,1,17,1,24,1,30,2,29,1,30,1,10,1,17,1,9,2,17,1,12,1,8,1,13,1,24,1,8,1,6,1,8,1,15,1,8,1,24,2,8,1,24,1,8,1,6,1,13,1,29,1,8,1,9,1,28,1,29,1,28,1,30,1,28,4,24,1,6,2,29,2,7,1,6,1,7,1,29,1,30,1,6,1,13,1,30,1,6,2,13,1,7,2,6,1,28,1,30,1,29,1,30,1,25,1,8,1,24,2,10,1,24,1,8,1,24,1,17,1,9,2,13,1,7,1,13,1,9,1,17,5,12,3,9,1,8,1,13,1,12,1,9,1,12,1,9,1,8,1,17,1,24,1,30,1,29,2,27,1,25,1,29,1,24,1,15,1,27,2,29,2,30,3,24,4,9,1,24,1,10,1,17,11,16,1,17,5,13,1,6,1,9,1,16,1,17,1,9,1,10,1,13,1,9,1,17,17,11,1,10,1,11,2,13,1,28,20,29,1,13,1,6,3,7,1,6,1,28,1,30,1,29,1,7,1,8,1,24,1,12,1,13,1,10,1,17,9,12,3,30,1,28,45,6,1,8,1,7,1,6,1,28,129,29,1,30,1,13,1,30,1,13,1,6,1,13,2,9,1,13,2,24,1,8,1,13,1,8,1,13,4,24,2,8,3,7,1,13,2,9,2,8,2,13,1,24,1,12,1,8,1,9,1,24,1,10,1,13,1,8,1,9,1,8,1,11,1,13,1,9,1,13,1,9,1,8,1,29,1,13,1,24,1,8,2,9,1,8,4,13,2,8,1,13,1,8,2,9,1,24,1,11,1,8,1,9,1,13,2,24,1,6,1,8,1,13,2,7,1,13,1,8,1,7,1,13,1,29,1,6,1,29,1,30,2,28,1,6,1,28,79,6,1,8,1,13,2,9,2,8,1,9,1,8,1,13,1,10,1,13,1,9,5,17,9,12,1,17,6,12,1,11,1,17,1,10,1,17,1,11,5,10,1,11,1,10,1,12,3,10,1,11,1,10,1,17,1,11,1,9,2,10,1,9,1,17,1,11,1,9,1,11,1,9,2,10,1,8,1,11,1,8,1,11,1,9,1,17,1,11,1,10,1,11,1,10,2,17,1,12,1,11,1,8,1,17,3,9,1,12,1,11,1,9,1,8,1,9,2,11,1,8,1,9,1,11,1,10,1,9,1,8,1,9,2,8,1,9,1,8,1,10,1,9,1,13,2,30,1,28,2,29,1,28,2,13,1,11,2,13,1,6,1,28,1,30,1,6,1,30,1,13,1,8,1,9,1,8,1,9,2,10,1,13,1,9,5,8,1,9,1,11,1,13,1,9,1,13,1,11,1,9,1,11,1,9,3,10,1,13,1,9,1,12,1,11,1,9,1,11,1,9,1,11,1,10,1,9,2,11,2,10,1,11,1,9,1,11,1,9,2,11,1,10,1,17,4,13,1,5,67,28,10,17,3,24,2,8,1,6,4,29,1,6,1,13,1,6,1,7,1,8,1,17,1,8,1,28,6,13,1,8,1,7,2,30,1,28,30,17,1,24,1,13,1,30,1,29,1,13,1,15,1,11,1,}, {13,1,6,1,24,1,17,1,8,1,6,1,28,3,30,1,28,2,30,1,28,1,6,1,28,3,30,1,28,6,30,1,29,1,28,13,30,1,28,1,6,4,10,1,9,1,17,5,13,1,6,1,29,2,30,1,6,1,8,1,17,1,11,1,12,1,8,2,24,1,8,1,7,1,8,2,29,1,13,1,9,1,8,1,24,1,13,1,6,1,13,1,9,1,30,1,9,1,11,1,16,1,9,1,8,1,9,1,8,3,7,1,9,1,17,2,15,1,9,1,13,2,9,1,15,1,9,1,8,1,28,22,30,2,6,1,8,1,24,1,8,1,24,1,8,1,24,1,13,1,6,1,28,2,30,1,28,1,30,1,28,1,13,1,24,1,17,1,12,2,24,1,9,1,8,1,6,1,8,1,6,3,29,1,13,1,24,1,8,1,15,1,9,1,8,1,13,1,28,4,30,1,28,9,8,1,17,1,16,1,9,1,11,1,9,8,13,1,11,2,9,3,16,1,9,2,16,1,13,1,9,3,11,3,9,2,11,2,16,1,11,1,9,1,16,1,11,1,9,1,16,1,9,1,16,1,10,1,6,1,28,24,30,1,28,1,30,1,28,88,30,1,28,2,30,2,28,4,29,1,28,2,30,1,28,4,29,1,6,1,28,8,30,1,6,2,30,1,6,1,7,1,6,1,7,1,30,1,6,1,7,1,13,1,6,1,29,1,6,1,29,1,28,1,30,4,28,59,30,1,28,1,30,1,28,24,30,1,28,2,7,1,6,1,30,1,6,1,29,2,13,1,24,1,13,1,7,2,8,3,9,1,13,2,12,1,10,1,24,2,13,1,9,2,12,1,17,2,11,1,17,1,9,1,11,1,17,1,16,1,17,6,9,1,17,5,24,1,17,3,12,1,17,2,12,1,17,6,16,1,17,4,11,1,8,1,13,2,9,2,13,1,9,1,13,5,8,1,13,1,8,1,6,1,9,2,13,10,30,1,13,1,6,1,13,2,6,1,13,1,6,1,13,2,8,1,13,2,8,2,9,2,8,1,9,2,13,1,8,1,9,1,13,5,9,1,13,5,8,1,13,5,9,1,13,1,9,1,13,3,9,1,13,3,9,1,13,4,8,1,13,1,9,2,8,1,13,1,9,3,13,3,8,1,13,2,6,1,13,2,8,1,13,1,9,2,8,1,13,1,8,1,16,1,9,3,11,2,16,1,9,1,30,1,28,66,29,1,28,1,30,1,6,1,8,1,9,1,8,3,28,48,30,1,28,2,6,1,29,1,6,1,7,1,6,1,29,1,6,1,13,2,8,2,9,2,24,5,8,1,9,1,8,2,13,1,8,1,9,1,24,1,8,1,9,3,5,1,33,98,5,333,13,1,6,1,8,1,13,1,8,1,7,1,6,1,13,1,7,1,6,2,7,1,6,2,13,1,7,1,13,1,9,2,17,3,12,1,17,19,12,1,17,1,12,1,9,1,11,1,9,1,10,1,11,2,17,62,11,1,17,1,11,1,17,1,10,1,11,1,9,1,10,1,17,5,11,1,17,1,12,1,8,1,9,1,11,1,8,1,12,1,10,1,12,1,11,1,10,2,9,1,12,1,17,4,10,1,8,1,24,2,8,1,13,1,11,1,24,1,13,1,9,1,24,2,12,1,17,1,11,3,28,1,30,3,13,1,7,1,8,1,13,1,8,1,9,1,8,1,9,1,11,3,16,1,11,4,16,2,11,4,16,3,11,2,16,2,11,1,16,2,11,1,16,1,11,1,17,3,16,3,11,1,16,1,17,1,16,2,11,1,16,1,11,1,9,1,11,6,9,2,11,1,13,2,11,1,10,1,9,2,11,1,13,1,9,1,11,1,9,2,13,1,8,1,9,2,10,1,9,1,11,1,9,4,11,1,9,2,13,1,9,2,11,1,9,3,8,1,11,1,13,1,9,1,13,1,8,1,9,5,13,2,9,1,11,1,10,1,9,3,10,1,11,1,9,2,11,1,17,2,7,1,12,1,17,2,12,1,7,1,6,2,30,1,29,1,17,1,24,1,15,1,24,1,12,1,17,1,8,2,7,1,8,1,6,2,14,1,8,1,13,1,24,1,7,1,29,1,28,1,6,1,13,1,30,2,11,1,30,1,13,1,6,1,7,1,30,1,28,2,29,1,30,1,6,1,30,1,28,2,7,1,28,1,6,2,28,2,10,1,6,1,28,1,29,2,30,2,28,1,6,2,29,3,8,1,10,1,12,1,24,1,10,1,24,2,10,1,24,1,12,2,13,1,6,2,12,2,17,1,12,1,11,1,17,1,9,1,24,1,10,1,24,1,9,1,10,1,24,1,8,1,9,1,24,1,14,1,26,1,29,2,27,1,29,2,28,1,25,1,24,1,29,1,28,1,27,1,29,2,27,2,8,1,24,1,14,1,17,3,10,1,12,1,17,8,16,1,17,2,11,1,17,5,10,1,11,1,9,2,13,1,8,1,11,1,17,21,10,1,17,1,11,1,13,1,6,1,28,9,13,1,28,6,6,1,28,4,30,2,28,6,29,1,6,1,30,1,28,1,30,1,7,1,24,1,17,9,10,1,28,44,30,1,7,1,8,2,29,1,6,1,28,127,30,1,28,1,29,1,6,1,29,1,13,1,8,1,6,1,8,1,9,1,13,1,8,3,13,1,6,1,24,1,8,2,13,1,7,1,13,3,8,1,7,2,8,1,13,1,8,1,9,1,13,1,24,1,7,1,24,1,8,2,13,1,11,1,8,1,13,1,8,1,7,1,9,1,24,1,8,1,13,1,7,1,8,2,9,1,13,1,24,1,6,1,8,1,13,1,7,1,9,1,13,1,24,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,9,1,24,1,10,2,8,1,13,1,24,1,7,1,24,1,8,1,13,1,29,1,7,1,6,2,7,1,6,3,29,1,30,3,28,1,29,1,28,79,30,1,13,1,30,1,8,1,10,1,13,1,9,1,8,1,24,1,11,1,8,1,10,1,9,2,8,1,17,13,12,1,11,1,17,5,11,3,17,1,11,2,9,1,11,1,12,1,11,3,17,1,10,1,17,3,10,1,11,3,17,1,10,1,17,1,11,1,12,1,10,2,11,1,12,1,9,1,11,2,10,2,17,2,12,1,10,1,8,1,11,1,9,1,10,1,11,1,17,4,11,2,17,1,9,1,11,1,10,2,9,1,12,1,9,2,8,1,9,1,8,2,9,3,13,1,8,1,9,1,13,3,7,1,11,3,10,1,6,1,30,1,28,1,13,2,8,1,13,2,9,2,11,2,9,1,10,2,13,1,9,3,13,1,9,1,11,1,9,1,10,1,9,1,11,1,9,1,10,1,9,2,8,1,9,3,17,1,9,1,11,1,17,1,11,2,17,1,11,2,17,1,11,2,17,1,12,1,17,1,12,1,17,7,9,1,13,1,5,66,28,10,17,2,10,1,11,1,9,1,8,1,9,1,8,1,13,1,30,1,7,1,30,1,29,1,6,1,8,1,12,1,10,1,7,1,28,6,24,1,8,1,7,1,6,2,29,1,28,28,29,1,12,1,17,1,30,2,28,1,13,1,9,1,15,1,}, {29,1,6,1,13,1,17,1,8,1,29,1,28,6,29,1,30,1,28,13,6,1,30,2,28,1,30,1,28,9,6,3,30,1,13,1,10,1,12,1,11,2,17,3,13,3,6,1,28,2,9,1,17,2,10,1,24,1,9,2,8,1,9,1,13,2,6,1,13,2,11,1,8,1,6,1,13,1,29,1,13,1,7,1,9,1,16,1,8,1,10,2,9,1,13,2,9,1,13,1,8,1,17,1,14,2,13,2,9,1,7,1,12,1,24,1,29,1,28,12,30,1,28,10,29,1,7,1,8,3,9,1,8,1,24,1,8,1,6,1,28,3,30,2,29,2,10,1,17,1,12,1,17,1,10,1,13,1,8,1,13,1,24,1,8,1,13,1,8,1,6,1,13,1,8,1,24,2,10,1,24,1,30,1,28,14,13,1,17,1,11,1,9,1,11,1,8,1,9,2,11,2,9,1,8,1,9,1,16,1,9,1,8,1,9,1,16,1,9,1,11,1,16,1,11,1,9,1,11,1,8,1,9,2,13,1,16,1,11,1,9,1,11,1,16,3,9,3,11,1,9,1,11,1,9,1,11,1,9,1,6,1,28,1,30,1,28,22,30,4,28,1,30,1,28,100,29,1,28,3,30,1,28,7,30,1,28,1,13,1,28,1,6,1,30,1,29,1,13,1,7,1,6,5,30,1,29,1,6,1,28,1,29,1,28,1,30,1,28,1,29,1,28,24,29,1,28,58,30,1,28,1,6,1,29,1,6,1,7,1,6,1,8,1,29,1,13,3,7,1,24,1,13,1,7,1,24,1,13,1,8,1,24,1,8,2,10,1,8,1,10,1,12,1,9,1,17,1,10,1,17,1,12,1,9,1,17,18,12,1,17,3,12,1,17,8,16,1,17,1,9,1,17,2,9,2,13,1,9,1,16,1,9,1,13,2,9,1,13,3,30,1,13,1,9,1,8,1,13,1,9,1,6,1,9,1,13,1,9,1,6,1,13,2,8,1,13,4,8,1,13,1,8,1,13,4,9,1,13,1,6,1,13,1,9,1,6,1,13,1,9,1,8,1,13,3,9,2,13,1,8,1,13,1,9,1,13,1,9,1,8,2,13,3,6,1,13,3,9,1,13,2,6,1,13,1,30,1,13,1,8,1,13,2,8,1,13,3,9,1,8,1,9,1,13,1,9,1,13,1,6,1,8,1,13,4,8,1,9,1,6,1,13,3,9,1,13,6,8,1,13,1,9,1,13,1,16,1,11,1,10,1,9,2,6,1,28,68,29,1,7,1,29,1,13,1,24,1,6,1,8,1,9,1,13,2,28,22,30,1,29,1,28,26,30,2,28,1,30,1,7,1,28,1,7,2,8,1,7,1,13,1,24,1,8,1,9,1,8,3,9,1,24,3,8,2,9,1,24,1,9,1,13,1,9,1,10,1,13,1,8,1,5,2,33,102,5,328,11,1,13,3,7,1,13,1,6,1,13,1,6,1,7,2,6,4,7,1,13,1,24,1,13,1,12,1,17,5,12,1,17,15,11,1,17,1,10,1,11,1,10,1,9,1,11,5,17,1,11,1,17,1,12,1,17,56,11,1,17,1,11,1,17,1,10,1,9,1,11,1,10,1,11,1,17,3,12,1,17,1,11,1,9,1,12,1,10,1,12,2,10,1,12,1,9,1,10,1,9,1,10,2,17,6,12,1,7,1,9,2,12,1,9,1,8,1,9,1,13,1,24,2,9,1,17,3,11,1,12,1,8,1,6,1,28,1,30,2,13,1,9,1,24,1,9,2,10,1,9,1,16,1,9,1,16,1,17,1,11,1,9,1,16,1,11,1,16,1,11,1,10,1,16,1,11,2,16,3,11,2,16,1,17,1,11,1,16,8,11,1,16,1,11,1,16,1,11,2,16,3,9,2,11,1,9,2,16,2,11,4,9,4,11,1,9,1,13,1,9,1,16,1,9,2,13,1,8,2,9,1,13,1,9,1,12,1,9,1,11,3,9,3,10,1,9,1,13,1,10,2,9,1,16,1,11,1,8,1,9,1,11,1,9,1,13,2,9,2,13,1,9,7,8,1,9,1,10,3,11,2,9,2,17,1,10,1,6,1,13,1,24,1,12,1,6,1,8,1,29,1,6,1,28,1,6,1,14,1,24,1,9,1,13,1,11,1,17,1,24,1,30,1,8,1,7,1,24,1,28,1,14,1,13,1,8,3,6,1,29,1,7,1,29,1,30,2,17,1,28,2,6,1,7,1,6,1,29,1,28,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,6,1,30,1,28,2,7,3,29,1,28,1,29,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,1,8,1,13,3,24,1,13,1,9,1,24,1,8,1,17,1,12,1,8,1,13,1,8,2,17,1,9,2,8,2,24,1,10,2,12,1,10,1,24,2,10,1,12,1,15,1,27,1,30,1,26,1,25,1,30,1,26,1,27,4,29,1,30,1,27,1,6,2,24,1,10,1,14,1,17,2,11,1,17,1,11,1,9,1,17,8,16,1,17,1,16,1,11,1,12,1,17,2,16,1,17,31,12,1,17,1,11,1,13,1,6,1,13,1,9,1,13,2,7,1,28,1,6,1,8,1,13,1,7,1,6,1,7,1,8,1,28,17,30,1,29,1,26,1,6,2,7,1,24,1,17,1,12,1,10,1,17,2,12,1,9,1,13,1,28,6,6,1,28,35,30,1,8,2,13,1,30,1,29,1,30,2,28,125,6,1,30,4,7,1,13,1,6,1,24,1,8,1,13,1,7,1,6,1,8,1,13,1,6,1,13,1,6,1,13,1,8,1,6,2,8,1,13,1,8,2,24,1,8,1,13,1,11,1,7,1,17,1,24,1,8,1,12,1,9,2,13,1,10,1,8,1,13,1,8,1,10,1,13,1,9,1,8,1,13,1,8,1,7,1,8,1,9,1,8,1,13,1,8,1,9,2,13,1,8,1,13,2,9,1,8,1,24,1,13,1,10,1,13,1,24,2,8,2,13,2,8,1,24,1,8,1,13,1,6,1,7,1,13,1,30,1,13,1,30,1,7,1,28,1,29,1,6,1,28,1,7,1,6,1,30,1,29,1,28,6,30,1,28,78,30,1,6,1,24,1,8,1,10,1,9,4,10,1,9,1,17,15,12,1,17,3,12,1,11,2,17,1,11,2,17,2,11,1,12,1,17,1,9,1,12,1,9,1,11,2,8,1,12,2,9,1,10,2,8,1,9,2,12,1,11,3,9,1,11,2,9,1,10,1,12,2,11,2,17,4,9,1,11,2,17,1,11,1,9,1,10,1,11,1,10,1,11,1,9,3,10,1,9,1,8,1,10,2,11,1,13,4,8,1,9,1,8,2,10,1,9,1,11,1,9,2,17,1,9,1,11,1,9,2,13,1,9,1,13,1,9,2,13,1,11,1,8,1,13,1,10,1,8,1,13,1,9,2,13,2,11,1,13,1,8,2,13,1,9,1,8,5,9,2,11,1,9,2,17,1,11,1,9,1,17,3,11,1,17,1,10,1,12,1,17,4,10,1,11,2,10,1,11,2,17,1,12,1,17,2,11,1,13,1,28,1,6,1,13,1,5,63,28,9,6,1,17,1,16,1,12,2,8,1,24,1,8,2,13,1,6,1,29,1,7,1,30,1,6,1,13,1,9,1,11,1,13,1,28,5,29,1,24,1,8,1,6,2,7,1,28,29,6,1,14,1,24,1,6,1,7,1,28,1,13,1,14,1,15,1,}, {7,1,6,1,13,1,15,1,9,1,28,3,30,1,28,1,29,1,30,1,28,1,30,1,28,7,29,1,28,6,30,2,28,11,29,1,28,2,30,1,29,1,7,1,13,1,12,1,9,1,17,3,13,1,6,1,13,1,6,1,7,1,6,1,9,1,17,2,10,1,9,4,7,2,8,1,6,2,9,1,8,2,7,1,13,1,6,1,7,1,29,1,9,1,16,1,9,1,10,1,9,2,8,2,9,1,24,1,9,1,16,1,14,1,9,1,13,1,8,1,13,1,8,1,24,1,13,2,28,23,7,1,13,1,8,1,13,3,9,1,17,1,9,1,29,1,30,3,6,1,28,2,13,1,10,1,17,1,12,1,17,2,8,4,13,2,6,1,7,2,8,1,9,1,8,1,15,1,9,1,6,1,30,1,28,2,30,1,28,10,9,2,11,2,9,1,11,1,9,2,10,1,9,2,11,1,9,1,11,1,9,2,11,1,16,2,9,1,11,1,9,3,8,1,13,1,9,1,13,1,10,1,16,1,9,1,16,1,9,1,10,1,9,2,16,1,11,1,9,1,11,1,9,3,16,1,11,1,28,26,30,1,28,1,29,2,30,1,28,1,30,1,28,95,29,1,28,1,30,2,28,6,30,1,28,6,30,1,29,1,7,1,6,4,7,2,6,1,29,1,6,4,29,1,30,1,28,1,30,1,29,1,28,1,30,1,28,24,30,1,28,55,30,1,28,1,6,1,30,1,29,1,6,3,7,1,6,1,13,2,6,2,8,1,13,1,9,1,8,2,13,1,8,1,12,1,13,1,12,1,24,1,9,1,11,1,9,1,12,2,24,1,17,3,11,2,17,1,12,1,17,1,11,1,17,8,12,1,17,2,9,1,17,1,12,1,17,1,12,1,17,13,9,1,8,1,9,1,8,1,13,2,8,2,9,1,13,1,9,1,13,1,11,1,9,2,13,1,9,2,13,1,8,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,8,1,13,1,9,1,13,6,8,1,13,3,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,4,9,1,13,1,9,1,13,2,9,1,13,6,6,1,9,1,13,1,6,1,13,8,8,1,13,1,8,1,13,4,9,1,8,2,13,2,9,1,13,3,9,1,8,1,9,1,13,2,6,2,13,3,9,1,13,3,9,2,13,1,8,1,11,3,9,1,28,18,29,1,28,50,29,2,13,1,6,1,8,1,13,1,9,1,11,1,24,1,7,1,13,1,28,25,6,1,28,25,30,1,6,3,30,1,7,1,6,1,7,1,13,1,7,1,13,2,8,2,13,1,9,1,10,1,9,1,8,1,9,2,11,1,8,1,24,1,8,1,9,2,24,1,8,1,9,1,13,1,5,1,33,106,5,325,9,1,13,1,8,1,7,1,13,1,7,1,6,1,13,3,6,1,13,1,6,1,7,1,29,1,13,3,10,1,17,10,12,1,17,9,12,4,11,2,9,1,11,2,17,3,11,1,17,2,11,1,12,1,17,54,12,1,17,2,11,1,12,1,11,1,10,2,17,7,11,1,10,1,17,1,10,1,9,1,10,1,11,1,9,1,11,1,10,1,8,1,9,1,8,1,11,1,17,4,10,2,13,1,24,1,8,2,24,3,9,1,10,1,24,1,10,2,17,1,12,1,17,1,10,1,9,1,7,1,28,1,30,1,6,2,8,1,9,4,8,1,11,1,17,1,16,2,11,5,9,1,11,2,16,3,11,1,16,4,17,1,16,2,17,2,11,1,17,1,16,3,11,1,17,1,16,2,11,1,16,1,17,1,16,1,11,3,16,1,11,1,10,1,16,1,11,4,9,1,8,1,11,1,9,1,13,1,9,1,11,1,9,2,11,1,9,4,13,1,8,1,9,2,10,1,11,1,9,1,10,1,11,3,9,8,11,1,9,2,10,1,11,1,10,1,8,2,9,1,8,1,10,1,8,1,9,4,8,1,9,1,11,1,9,1,10,1,9,3,11,1,12,1,17,1,8,2,6,2,17,1,6,2,30,2,28,1,29,1,15,1,24,1,12,1,6,1,12,1,10,1,17,1,28,1,7,1,13,1,6,2,15,1,10,1,9,1,8,1,6,1,28,1,6,1,28,2,30,1,13,1,10,1,28,3,13,1,29,1,30,1,28,5,30,1,28,2,30,1,6,1,30,2,28,3,13,1,9,1,24,1,13,1,8,1,6,1,29,1,6,1,30,3,28,2,30,1,7,1,29,1,24,3,9,1,7,1,17,1,10,1,9,1,24,1,9,1,13,1,9,1,17,2,12,2,17,1,12,4,15,1,24,2,10,1,14,1,25,1,28,1,27,1,26,1,27,1,29,1,28,1,29,1,26,1,29,3,30,1,29,1,6,1,9,2,13,1,17,1,16,1,11,2,16,1,8,1,11,1,17,1,16,1,17,7,11,1,12,1,17,1,16,1,17,1,9,1,10,1,17,35,12,1,17,1,12,1,17,1,11,1,8,1,17,2,11,1,6,1,13,1,6,1,30,1,28,20,30,1,7,1,30,1,6,1,8,1,24,1,7,2,10,1,9,1,17,2,13,1,28,41,30,1,7,1,24,1,8,1,7,1,29,1,6,1,28,128,6,1,7,1,30,1,6,1,30,1,7,1,24,1,13,2,8,1,7,1,13,1,7,1,6,1,8,1,7,1,13,1,6,1,13,2,7,1,8,1,7,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,7,1,13,1,7,1,30,1,8,1,13,1,8,4,13,2,9,1,13,1,12,1,13,5,8,1,13,1,8,2,13,2,24,1,8,1,6,1,24,1,13,1,8,1,24,1,13,1,24,3,8,2,9,1,24,1,8,1,13,2,24,1,7,1,8,1,30,1,7,1,13,1,8,1,28,1,6,1,7,1,29,1,28,1,6,2,7,1,28,88,29,2,13,3,9,1,11,1,9,1,11,1,12,1,17,17,12,1,11,1,12,1,17,1,11,2,17,2,10,1,11,1,17,1,11,1,9,1,12,1,11,1,10,1,9,1,11,2,9,2,11,1,10,2,9,1,10,1,13,1,9,4,10,1,9,2,11,1,10,2,17,1,11,2,12,1,9,1,11,2,9,2,8,1,9,1,7,1,6,1,13,1,8,2,13,1,6,2,13,2,6,1,30,1,13,1,8,1,29,1,6,2,29,1,13,1,7,1,6,3,13,1,9,2,10,1,8,1,12,1,11,1,13,7,7,1,8,1,7,1,9,1,6,1,13,6,28,1,7,1,6,1,13,1,29,1,13,1,30,1,6,3,13,4,7,1,6,1,13,1,6,1,7,1,6,1,8,1,6,1,8,1,9,3,10,1,9,5,11,1,8,1,9,2,17,1,11,1,9,1,10,1,9,1,8,2,13,2,30,1,28,1,13,1,5,59,28,9,30,1,9,1,17,1,11,1,10,1,9,1,13,3,6,3,13,1,6,2,13,1,11,1,17,1,24,1,28,5,13,1,9,1,8,1,13,1,29,1,6,2,28,28,6,1,14,1,24,1,13,1,6,1,30,2,10,1,15,1,}, {13,1,6,1,8,1,17,1,9,1,13,1,28,3,29,1,30,1,28,2,13,1,28,9,30,1,28,3,30,1,28,8,30,1,28,1,30,1,28,1,30,1,29,2,30,1,29,1,28,1,8,1,13,1,8,2,10,1,17,1,10,1,8,1,13,2,29,1,6,2,13,1,17,1,16,1,9,1,24,1,9,1,12,1,24,1,6,1,13,1,8,1,29,1,6,1,8,1,17,1,9,1,6,2,8,1,6,1,13,2,17,1,16,3,8,1,9,1,8,1,13,2,9,1,14,2,24,1,13,1,24,1,13,1,8,1,13,1,24,1,6,1,28,14,30,1,28,8,30,2,6,1,29,1,6,1,13,2,10,1,12,1,30,1,6,1,28,4,29,1,13,1,24,1,12,1,17,1,10,1,8,1,13,1,8,1,13,1,6,1,7,1,13,1,6,2,7,2,24,1,9,1,8,1,9,1,6,1,30,1,28,12,30,1,13,1,10,2,11,1,9,1,8,1,16,1,11,1,9,1,11,1,16,2,11,1,16,1,11,1,9,1,16,1,9,6,8,1,9,1,13,1,8,2,13,1,16,1,8,1,9,2,11,1,9,1,16,1,9,1,11,1,16,1,9,2,11,1,9,1,16,1,11,1,30,1,28,24,30,1,6,1,29,2,27,1,30,1,28,1,29,1,28,95,30,1,28,7,30,1,28,3,6,1,28,1,30,1,29,3,28,1,7,2,29,1,6,2,29,1,6,3,29,2,28,1,30,1,6,2,28,55,30,1,28,30,29,1,30,1,28,1,7,2,29,1,6,3,13,1,7,1,13,1,8,1,6,1,13,2,8,2,9,1,24,2,8,1,24,2,10,2,24,1,17,1,11,1,17,2,12,1,10,1,17,2,11,1,17,10,12,1,17,20,16,1,9,2,11,1,9,3,13,1,9,2,13,1,9,1,13,1,11,1,13,1,6,1,9,1,8,1,13,4,6,1,8,1,13,1,9,1,13,2,9,1,13,8,8,1,9,2,13,1,9,1,13,2,9,1,8,1,13,9,9,1,13,1,9,1,6,2,9,2,13,5,8,1,13,4,8,1,9,1,13,1,9,2,13,2,8,1,13,4,8,1,9,1,13,3,28,1,9,2,8,1,13,1,8,1,13,4,9,1,13,1,6,1,13,1,30,1,8,1,13,1,8,1,9,2,10,1,17,1,11,1,6,1,29,1,28,68,7,1,6,1,30,1,8,1,6,1,8,2,9,3,6,1,30,1,28,49,30,3,29,2,6,2,7,1,6,1,13,1,9,2,24,1,13,1,8,2,24,1,8,1,24,1,13,1,10,1,8,2,9,1,13,1,8,1,9,1,13,1,24,1,8,1,24,1,13,1,5,2,33,109,5,323,9,1,8,1,13,2,7,1,13,1,7,1,13,2,6,1,13,1,6,1,29,1,13,1,7,1,6,1,8,1,13,1,17,21,12,1,11,1,17,1,9,1,12,1,10,1,11,2,12,1,10,1,12,1,11,1,12,1,17,1,11,1,12,1,17,10,11,1,17,45,11,1,17,2,11,1,10,1,9,1,17,5,12,1,10,1,11,1,10,2,9,1,10,1,9,1,10,1,9,1,10,1,9,2,11,1,10,1,11,1,17,3,11,1,9,2,24,1,8,1,10,1,9,1,8,2,24,1,9,1,12,1,9,1,11,1,17,4,12,1,17,1,7,1,6,1,30,2,29,1,8,2,9,3,11,4,16,1,9,1,11,1,16,1,11,1,17,1,10,1,16,2,9,1,16,1,11,1,17,4,11,1,17,1,11,1,16,4,17,1,16,1,11,1,16,6,17,1,16,3,11,3,10,1,11,1,16,3,11,1,9,2,10,1,11,1,9,2,11,1,9,2,8,1,16,1,9,2,11,1,16,1,9,1,13,1,9,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,9,2,8,1,10,1,11,2,9,1,11,2,9,1,11,1,9,1,11,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,8,2,11,1,10,3,9,5,17,1,8,1,13,2,6,1,17,1,29,1,13,1,29,1,6,1,30,1,6,1,7,1,9,1,12,1,24,1,9,1,17,2,30,1,7,1,13,1,29,1,6,1,24,1,17,1,9,1,6,1,30,2,6,1,29,1,28,1,13,1,24,1,28,4,6,1,30,1,28,10,29,1,28,2,29,1,6,1,28,3,6,2,26,1,30,1,6,1,30,2,6,2,13,2,6,1,13,1,6,1,8,1,24,3,8,1,24,1,12,2,9,1,17,1,24,1,17,1,11,1,17,1,12,1,17,4,15,2,14,3,15,1,14,1,24,1,30,1,27,1,26,1,27,1,29,1,28,1,27,1,6,1,29,1,28,1,29,1,8,1,24,1,12,1,17,2,13,1,11,1,17,1,11,1,9,1,12,1,24,1,16,1,11,1,17,5,12,1,11,1,16,1,11,1,17,1,12,1,17,2,9,1,11,1,17,20,12,1,17,2,10,1,9,1,8,1,12,1,10,1,24,1,12,1,17,1,12,1,10,2,12,1,10,1,11,1,10,1,12,1,10,1,11,1,10,1,17,1,9,1,24,1,6,2,28,22,29,1,30,1,28,1,13,3,24,1,7,2,9,1,17,2,30,1,28,40,6,1,13,1,9,1,8,1,6,1,30,1,29,1,28,126,6,1,30,1,29,3,6,1,8,1,7,1,8,1,7,1,13,1,8,1,29,1,8,1,13,2,6,1,8,1,7,1,8,1,13,1,6,2,13,1,7,1,13,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,24,1,8,1,9,2,7,1,9,1,8,1,9,1,13,1,9,1,13,3,9,1,13,1,11,1,7,1,8,1,7,1,8,2,13,1,29,1,13,2,9,1,8,1,7,1,24,2,8,1,10,1,13,2,11,1,24,1,9,1,13,2,24,1,13,1,24,1,13,1,9,1,6,1,13,2,7,1,13,1,6,1,7,2,13,2,6,1,7,1,30,2,6,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,81,29,1,6,1,13,1,9,2,11,1,24,1,17,21,11,1,10,1,11,2,10,2,9,1,17,2,12,1,11,2,12,1,9,1,10,1,11,1,9,1,12,1,11,2,12,1,11,1,9,1,11,1,9,1,10,1,11,1,10,1,9,4,11,1,9,1,11,3,12,1,11,2,9,4,8,3,9,1,13,1,9,1,13,2,6,1,13,1,30,1,28,1,30,1,28,1,6,1,29,1,7,1,30,3,29,1,6,1,30,1,28,2,13,1,11,2,9,1,6,1,7,1,30,1,7,1,13,1,29,1,30,2,29,2,28,2,30,1,6,1,30,2,28,1,6,1,29,1,6,1,28,1,30,1,29,1,30,1,6,1,13,1,30,1,6,2,30,1,7,1,28,1,13,1,6,3,28,1,7,1,6,1,28,1,30,1,7,1,6,1,13,1,7,2,13,1,6,2,13,1,7,2,13,3,9,1,8,1,9,1,8,1,11,1,10,1,9,2,8,1,11,1,13,2,30,1,13,2,9,1,5,55,28,9,29,1,16,1,17,1,12,1,24,2,13,2,8,2,13,1,6,1,13,1,7,1,8,2,12,1,15,1,8,1,28,5,30,1,15,1,24,1,6,1,30,1,6,1,30,1,28,28,30,1,15,1,13,1,29,1,6,1,28,1,24,1,12,1,17,1,}, {7,1,29,1,13,1,17,1,11,1,6,1,28,1,30,1,28,3,30,1,28,1,29,1,30,1,28,12,30,1,28,1,29,1,30,1,28,7,6,1,28,1,30,1,29,1,30,2,29,1,30,1,24,1,13,1,10,1,8,1,17,3,24,1,8,1,6,1,13,1,6,2,8,1,17,1,9,2,8,1,15,1,24,1,13,1,7,1,30,1,6,1,13,1,6,1,9,1,24,2,7,1,29,1,13,2,7,1,6,1,17,1,12,1,17,1,8,1,10,1,9,1,8,2,24,1,13,1,16,1,17,1,15,1,10,1,8,3,13,1,9,1,6,2,28,22,30,1,13,1,6,2,8,1,13,1,10,1,12,1,10,1,6,1,28,2,30,1,29,1,28,1,29,1,7,1,9,1,17,3,10,1,8,1,13,2,7,1,6,1,13,2,6,1,13,1,8,1,24,1,8,1,9,1,8,1,6,1,28,4,29,1,28,5,30,1,28,3,13,1,10,1,11,1,9,2,11,1,10,1,9,1,8,1,16,1,9,2,13,1,9,1,16,1,11,1,9,5,13,2,9,2,8,1,9,1,16,1,8,1,11,1,9,1,13,1,9,1,11,2,16,1,11,3,9,3,10,1,16,1,11,1,9,1,29,1,28,2,30,1,28,18,30,1,28,1,29,1,30,1,28,1,30,2,29,1,28,1,29,1,27,1,28,102,30,1,28,9,29,1,28,1,6,1,7,1,28,1,6,1,28,1,30,4,6,1,29,1,6,2,28,3,30,1,28,84,30,1,7,1,28,1,7,1,29,2,7,1,30,1,7,2,13,3,7,1,8,1,9,1,13,1,24,1,13,1,24,1,8,1,12,2,10,1,12,1,17,1,9,1,17,2,11,2,17,25,11,1,17,9,9,6,13,1,9,1,13,4,8,1,13,1,8,1,13,7,8,1,13,1,8,1,6,1,9,1,13,1,9,1,13,3,9,1,8,1,9,1,13,3,9,1,13,8,8,1,13,1,9,1,13,6,9,1,13,1,6,1,13,4,30,1,13,2,28,1,13,4,8,1,6,1,9,1,13,1,8,1,13,1,8,2,13,7,6,1,8,1,13,10,8,1,6,1,13,2,8,1,13,1,8,2,13,1,9,1,10,1,8,1,17,1,30,1,28,70,6,1,30,1,6,3,9,1,8,1,9,1,17,1,9,1,28,19,30,1,28,18,29,1,28,14,30,2,29,1,28,1,7,1,28,1,13,1,7,1,30,1,29,1,9,1,13,1,8,2,9,1,8,4,13,1,8,1,10,1,24,1,10,1,8,1,9,1,13,1,10,1,8,1,9,1,13,1,5,1,33,111,5,321,16,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,6,3,7,3,13,1,6,2,24,1,9,1,17,20,12,1,17,1,11,1,12,3,9,1,12,1,10,1,9,1,11,2,12,4,17,1,11,1,17,53,11,2,9,1,12,1,9,1,11,1,17,6,12,1,24,1,9,1,8,1,10,1,24,1,12,1,17,1,9,2,10,1,9,3,12,1,11,1,17,3,12,1,10,2,13,1,10,1,9,1,24,1,10,1,13,1,10,2,24,1,9,1,24,1,17,1,12,1,17,4,9,1,13,1,6,1,30,2,7,1,8,1,13,1,8,1,9,2,11,1,9,1,11,1,16,1,11,1,16,3,11,1,17,1,16,1,17,1,16,2,11,3,16,3,17,1,16,2,17,1,16,2,17,1,11,1,17,1,16,2,11,1,16,4,17,1,16,2,11,3,16,1,9,1,11,1,16,3,11,2,9,1,11,1,9,1,16,1,9,1,13,1,9,2,16,1,11,1,9,1,11,1,16,2,8,1,9,2,10,1,11,1,9,1,11,4,9,1,10,1,9,2,10,1,11,1,9,1,11,5,9,4,8,1,13,1,9,2,8,1,9,1,8,1,9,2,10,1,9,2,8,1,11,1,9,1,13,1,11,1,17,1,16,1,8,1,13,1,8,1,30,1,24,1,10,1,8,1,30,4,29,1,6,1,9,1,12,1,24,1,17,1,9,1,10,1,6,1,7,2,6,1,13,1,17,1,24,1,13,1,6,1,29,1,30,1,28,1,30,1,10,1,28,5,30,1,28,9,30,1,29,1,28,3,30,1,6,2,28,1,6,1,30,3,7,1,6,1,8,1,24,1,10,1,12,1,10,1,9,2,8,1,24,1,8,1,7,1,9,1,24,2,9,1,24,3,11,1,10,1,17,1,12,1,17,1,9,1,17,2,9,1,12,1,14,2,9,1,8,1,15,1,14,3,24,1,29,1,6,1,29,1,28,4,7,1,13,1,12,1,17,10,9,1,24,2,9,2,16,1,17,2,10,1,12,1,16,1,17,1,9,1,12,1,11,1,9,1,17,1,11,1,17,1,11,1,17,17,11,1,9,1,13,2,7,1,13,2,8,2,24,1,8,2,24,1,8,1,24,2,9,1,24,2,10,1,12,1,9,1,10,2,12,1,10,1,12,1,30,1,28,22,30,1,29,1,30,2,7,1,6,1,8,1,24,1,7,1,6,1,8,1,12,1,17,1,9,1,28,40,30,1,9,1,10,1,7,1,6,2,30,1,28,69,30,1,28,2,30,1,28,53,30,1,6,2,13,2,6,1,7,2,6,1,13,1,6,1,13,1,6,1,8,1,29,1,6,1,7,3,29,1,30,1,6,1,13,1,7,1,6,1,13,1,7,1,6,1,13,1,29,1,13,2,7,1,13,2,8,2,6,1,8,2,7,1,9,1,13,1,8,1,24,1,13,1,8,3,13,1,24,1,13,4,9,1,8,1,13,1,7,1,24,1,13,2,8,2,24,1,8,1,11,1,24,2,7,1,17,1,9,1,8,2,12,1,13,2,6,1,13,1,6,2,7,1,13,1,7,1,6,1,30,1,7,3,6,1,7,1,29,1,7,1,30,1,29,2,30,2,28,5,29,1,28,49,30,1,28,31,30,1,13,2,9,1,17,1,12,1,17,20,12,1,17,3,11,1,17,1,12,1,17,1,11,2,10,4,11,3,12,1,11,1,10,1,17,1,10,2,9,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,12,1,9,1,10,1,12,1,11,1,9,1,17,1,9,2,10,1,8,1,9,3,13,2,10,1,8,2,9,1,13,2,9,1,13,3,30,1,29,1,13,1,30,2,13,1,6,1,29,2,7,1,6,1,8,1,10,1,12,1,8,1,6,1,30,2,29,1,30,1,28,1,29,1,28,1,6,1,30,1,28,1,6,1,13,1,28,1,29,1,30,3,28,1,30,2,28,5,6,1,28,1,6,1,30,1,28,1,30,3,28,1,6,1,7,1,30,2,6,1,30,1,6,1,29,1,28,1,6,2,30,1,13,1,6,1,7,1,30,1,13,2,6,1,13,1,6,1,7,1,6,2,13,6,7,1,9,1,13,2,9,4,13,1,5,52,28,10,12,1,11,1,13,1,9,1,8,1,13,1,8,1,13,3,29,1,6,2,13,1,7,1,8,1,10,1,6,1,28,5,30,1,11,1,8,1,30,1,6,1,28,30,6,1,15,1,7,1,29,3,7,1,14,1,9,1,}, {6,1,13,2,17,1,10,1,30,2,28,5,30,1,29,1,28,14,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,2,6,1,28,1,6,1,28,1,6,1,8,2,9,2,17,3,9,1,7,1,13,1,6,1,7,1,29,1,13,1,17,2,24,1,13,1,7,1,8,1,13,1,6,2,7,1,13,1,6,1,13,1,17,1,13,1,7,1,13,1,6,1,7,1,6,1,8,1,17,2,12,1,10,1,9,1,8,4,17,2,16,1,15,1,9,1,13,1,8,1,24,1,8,1,15,1,13,1,28,20,30,1,28,2,6,1,30,1,13,1,29,1,6,2,24,1,10,1,9,1,6,1,30,1,28,2,30,2,29,1,7,1,8,1,12,1,17,2,14,1,13,2,7,1,13,1,6,1,7,1,29,1,6,1,13,2,8,4,13,1,29,1,30,1,28,1,29,1,28,2,30,1,28,7,30,1,9,1,11,1,16,1,9,1,11,1,9,1,11,2,16,1,9,1,16,1,9,1,11,1,9,4,16,1,9,3,16,1,11,2,9,1,13,1,6,1,8,1,11,1,10,1,9,1,11,1,16,1,11,2,9,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,13,1,30,1,28,20,6,1,29,1,7,2,6,2,30,1,29,1,6,1,28,2,30,1,28,1,30,1,28,1,6,1,28,63,30,1,28,16,30,1,28,10,30,1,28,7,30,2,28,1,30,1,28,1,30,1,28,1,13,1,28,1,6,1,29,1,6,1,29,1,30,1,28,1,29,1,28,1,6,1,29,1,30,3,29,1,28,1,6,1,28,83,30,1,28,2,29,1,7,1,6,1,7,1,30,1,6,3,13,1,8,2,7,1,24,1,13,1,8,1,24,1,8,1,17,1,24,1,9,3,8,2,10,1,12,1,17,1,12,1,17,2,12,3,17,2,12,1,11,1,12,1,17,2,12,1,17,7,10,1,17,5,12,2,17,10,9,2,11,1,13,1,9,3,8,1,13,1,11,1,13,1,9,5,13,1,16,1,13,2,9,1,13,1,8,1,13,1,8,1,13,6,6,1,13,1,6,1,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,3,11,1,13,3,8,2,13,3,30,1,13,12,6,1,13,4,8,1,13,5,9,1,13,4,9,1,6,1,13,2,7,1,6,1,30,1,13,1,9,1,13,1,8,1,6,1,13,5,8,1,13,1,9,1,13,1,9,1,11,1,13,2,28,68,30,1,28,1,30,1,7,2,8,1,6,1,13,1,10,1,12,1,17,1,12,1,7,1,28,51,30,1,28,2,6,1,28,1,6,1,13,1,29,1,7,1,8,1,13,1,24,1,13,1,8,1,13,1,8,1,13,1,9,2,13,1,24,1,8,1,10,1,9,1,13,1,24,1,8,1,13,1,8,1,24,1,8,1,9,1,13,1,5,1,33,114,5,319,13,2,7,3,13,1,6,2,7,1,13,1,29,1,6,1,13,1,7,1,6,1,13,1,24,1,13,1,17,21,11,2,17,1,11,1,12,1,11,1,9,1,12,1,10,1,9,1,17,1,11,2,12,1,17,1,12,1,17,52,12,1,17,1,12,1,10,1,9,1,11,3,17,6,10,1,24,1,10,2,12,1,10,1,17,2,9,1,10,1,9,1,11,1,9,1,10,1,11,1,12,1,17,2,12,1,17,1,9,1,24,1,10,3,11,1,7,1,8,1,13,1,8,1,9,1,10,2,17,2,11,1,17,4,8,1,13,2,6,1,13,1,29,1,13,1,8,1,9,2,10,2,11,2,16,2,11,2,16,1,11,1,9,1,16,3,11,1,17,1,16,4,17,1,16,2,17,1,16,1,17,1,11,1,16,2,17,1,11,1,17,2,11,1,16,1,17,2,16,2,9,1,10,1,11,2,16,4,9,1,11,2,10,1,11,1,10,1,9,1,11,1,16,1,9,3,16,1,11,1,9,1,11,3,9,2,11,2,9,2,11,1,16,1,11,1,9,3,16,1,9,2,11,1,9,1,11,1,10,1,11,1,9,3,10,1,11,1,10,1,8,1,9,2,10,1,9,1,13,1,9,1,8,1,9,3,10,2,9,3,11,1,17,1,8,1,29,1,30,2,6,1,24,1,26,2,6,1,28,1,27,1,29,1,6,1,7,2,13,1,12,2,15,1,24,1,8,2,13,2,10,1,8,1,29,2,6,1,28,2,6,1,12,1,28,9,30,1,28,5,29,2,28,4,6,1,30,1,28,1,29,2,6,1,8,2,10,1,9,1,12,1,8,2,6,1,13,1,12,1,17,2,9,1,8,1,11,1,12,1,8,1,10,1,24,3,8,1,13,1,8,1,9,1,13,2,10,1,9,1,24,1,17,1,14,1,24,1,29,1,6,1,13,1,24,1,10,1,8,1,14,1,8,1,6,1,7,2,6,1,8,1,10,1,17,1,14,1,12,1,13,1,30,1,29,1,6,2,7,1,13,1,17,2,12,1,17,1,6,1,7,1,13,1,8,1,11,1,17,3,16,1,10,2,16,1,10,1,9,1,17,1,10,2,11,1,9,1,12,1,17,15,13,1,6,1,29,2,13,1,7,1,13,1,7,1,6,1,7,1,8,1,25,1,8,1,13,1,8,2,13,1,24,2,8,3,24,1,8,1,10,1,24,2,25,1,28,24,29,1,28,1,6,2,7,1,6,2,8,1,30,1,13,1,8,1,11,1,17,1,28,40,29,1,11,1,9,1,13,1,29,1,6,2,28,1,6,1,28,67,29,1,28,1,30,1,28,4,30,1,28,39,30,1,28,9,30,1,29,1,7,1,6,1,28,1,13,1,24,1,13,3,8,1,7,2,8,1,7,1,13,1,6,1,13,1,29,1,13,1,6,1,13,1,29,1,6,1,7,2,13,1,7,1,13,1,6,1,30,1,8,2,13,1,7,1,8,1,7,1,8,1,7,1,12,1,13,1,24,1,9,1,8,1,13,1,10,1,8,2,13,1,8,1,13,2,9,1,8,2,24,1,8,1,6,1,13,1,8,2,13,1,8,1,13,2,24,1,13,1,9,2,8,1,12,1,13,1,9,1,8,1,9,1,8,1,7,1,8,1,13,2,7,1,9,1,8,1,13,1,7,1,6,1,7,1,30,1,29,1,13,1,28,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,30,2,29,1,28,87,30,1,13,1,9,1,11,1,10,1,17,24,12,1,17,2,12,1,11,2,17,2,12,1,9,1,17,2,12,2,9,1,10,1,17,1,9,1,11,2,10,1,9,1,11,2,12,1,9,1,11,2,9,1,11,1,9,5,13,1,10,1,9,2,11,1,13,1,10,1,9,2,8,1,9,1,8,1,9,3,13,1,9,1,13,2,9,2,13,2,8,2,9,2,17,1,12,1,9,1,13,1,6,2,7,2,6,2,30,1,29,1,7,1,29,1,6,1,30,1,13,1,30,1,13,1,6,1,30,1,7,1,6,4,13,2,28,1,6,1,29,1,13,1,30,1,6,1,7,1,6,1,30,2,29,1,6,1,28,1,30,1,28,2,30,2,28,1,6,1,30,2,29,1,28,2,30,4,13,1,28,1,30,1,6,1,28,1,30,1,6,1,28,1,6,2,7,1,29,1,7,1,13,3,7,1,13,4,9,3,16,1,5,48,28,9,30,1,12,1,16,1,10,1,9,1,8,5,13,1,28,1,7,2,13,2,24,1,8,1,30,1,28,5,30,1,11,1,10,1,29,1,6,1,29,1,28,1,30,1,28,27,13,1,14,1,7,1,30,2,28,1,12,1,15,1,24,1,}, {7,1,6,1,8,1,17,1,16,1,6,1,28,2,29,1,28,1,30,1,28,13,30,1,28,3,29,1,28,1,30,2,28,3,29,1,28,5,29,1,30,1,7,1,6,2,8,1,13,2,12,1,17,3,8,2,6,1,7,2,30,1,9,1,17,2,10,1,13,1,24,2,7,1,6,2,7,1,6,1,7,1,13,1,14,1,8,1,13,1,6,2,7,1,13,1,8,1,17,2,12,1,11,2,8,1,6,1,9,1,13,1,9,1,17,2,14,1,8,1,13,2,9,3,13,1,29,2,28,3,30,1,28,18,30,1,6,1,13,1,6,1,13,1,8,1,24,2,28,1,6,1,28,3,30,1,28,1,29,1,24,1,17,3,14,1,13,2,6,1,7,1,6,2,7,1,28,1,6,2,9,1,8,1,9,2,13,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,4,11,3,16,1,10,1,11,1,9,1,11,2,16,1,11,1,9,1,10,1,9,1,16,2,9,1,11,1,10,1,11,1,9,2,8,1,13,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,16,1,11,2,9,1,16,1,9,2,10,1,11,1,9,1,17,1,11,1,9,1,12,1,8,1,6,1,28,1,29,1,28,2,30,1,29,1,30,1,28,14,30,1,29,1,30,1,7,1,29,1,6,1,29,1,30,1,29,2,30,1,6,1,28,109,29,1,28,1,29,1,30,2,6,1,29,3,28,3,6,1,28,2,6,1,28,52,30,1,28,27,29,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,29,1,6,2,29,1,7,1,6,1,29,1,6,1,8,4,7,1,6,1,24,1,8,1,13,1,24,1,10,1,24,1,13,1,9,1,8,1,12,1,10,1,9,1,10,1,17,2,11,2,12,1,17,1,12,3,17,5,12,2,17,2,12,1,17,2,12,1,17,2,12,1,17,14,13,2,9,3,6,1,13,3,9,3,13,1,16,1,13,2,9,2,8,1,13,1,9,1,8,1,13,2,8,1,30,1,13,9,8,1,13,1,6,1,9,1,13,1,9,1,8,1,13,1,9,2,13,1,9,1,11,1,13,2,9,1,13,2,6,1,13,1,30,1,6,1,13,11,8,1,13,2,8,1,13,2,6,1,8,1,13,3,8,1,13,1,8,1,13,5,30,1,13,1,8,1,6,1,13,1,8,1,13,1,9,1,13,2,6,1,13,3,8,2,9,2,8,1,12,1,13,2,28,70,30,1,6,5,8,2,13,1,17,2,11,1,29,1,28,51,30,1,29,1,28,1,6,1,7,1,28,1,6,3,7,1,8,1,13,1,29,1,9,2,6,1,9,1,8,1,13,1,9,1,8,2,7,1,8,1,9,1,13,1,9,2,8,1,9,3,13,1,33,117,5,318,13,4,7,3,30,1,6,2,7,1,6,1,7,1,13,1,6,1,13,2,10,1,17,21,10,1,12,1,17,1,10,1,9,1,17,1,12,1,11,1,8,1,10,2,9,1,17,1,12,1,11,1,17,2,12,1,17,50,12,1,11,2,9,1,12,1,10,1,17,5,12,1,11,1,9,1,12,1,9,1,10,1,11,1,24,1,10,1,11,1,8,2,9,5,17,2,12,1,17,2,8,1,13,1,9,1,10,1,8,1,12,1,10,1,8,1,9,1,10,1,9,1,11,1,9,1,17,8,13,1,8,1,24,1,6,3,7,2,9,1,8,1,9,1,10,1,11,2,16,1,11,4,17,1,11,2,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,6,11,1,16,1,11,1,9,1,16,1,17,4,16,1,11,4,9,1,16,2,11,2,9,1,11,2,9,3,13,1,9,2,13,1,11,3,9,1,10,1,11,2,9,1,8,2,9,3,11,3,9,4,11,2,9,2,11,1,10,1,11,1,10,1,17,1,9,1,10,1,11,1,9,1,10,1,9,1,13,1,9,2,10,1,9,1,8,1,10,1,17,1,11,2,9,1,8,1,9,1,11,1,9,1,17,1,9,1,28,1,6,1,29,1,30,1,6,1,24,2,6,1,30,1,29,4,30,2,24,1,15,1,10,1,12,1,9,1,14,1,15,1,8,1,10,1,24,1,8,1,29,1,30,1,28,1,30,1,9,1,7,1,28,11,6,1,28,2,30,3,28,2,13,1,6,1,7,1,6,1,28,1,29,1,6,1,24,3,13,1,29,1,28,1,29,1,28,2,30,2,7,1,9,1,12,1,10,1,8,1,12,1,9,2,10,1,9,1,8,1,13,1,8,1,13,1,6,1,8,4,10,1,14,1,8,1,6,1,29,1,6,1,24,2,12,1,10,1,12,1,14,1,17,1,6,1,24,1,12,1,17,1,15,1,13,1,6,1,29,1,30,1,28,1,29,1,28,2,30,1,6,1,13,1,17,3,8,1,30,1,6,1,7,1,10,1,17,3,11,1,9,1,11,1,9,1,11,1,9,1,10,3,9,1,11,1,9,1,10,1,17,12,12,1,13,2,6,2,7,1,30,1,6,1,25,1,28,1,26,1,27,1,26,1,27,1,25,1,24,1,25,1,24,1,25,1,8,2,25,2,8,1,24,1,8,3,7,1,6,1,30,2,28,24,30,1,29,1,8,1,7,1,30,1,7,1,30,1,13,1,24,1,10,1,17,1,8,1,28,38,30,1,9,1,11,1,24,1,13,1,29,1,30,1,28,3,29,2,28,1,6,1,28,62,29,2,28,3,29,1,30,2,28,48,6,1,30,1,7,1,6,1,7,1,6,2,8,1,7,1,24,1,8,1,6,1,13,1,6,1,29,1,8,1,30,1,8,1,7,3,6,1,7,1,6,2,7,1,30,1,6,1,29,1,7,1,8,1,6,1,13,1,7,1,6,1,13,2,7,1,13,2,8,1,24,1,9,1,7,1,8,4,9,1,24,1,9,1,24,1,8,3,13,2,6,1,8,1,9,1,13,1,7,1,13,1,7,1,9,1,13,1,24,1,8,1,24,1,8,1,24,2,8,1,24,1,8,1,9,1,13,1,8,1,13,1,8,2,30,1,7,1,8,1,6,1,7,1,6,1,13,1,29,1,7,1,29,2,28,1,6,2,29,1,28,1,7,1,30,3,6,1,28,1,29,1,28,2,30,1,28,83,30,1,28,3,7,1,13,1,9,1,17,24,12,1,17,1,12,1,17,6,11,3,17,1,11,4,17,2,12,1,11,2,12,1,11,2,17,1,11,2,17,1,10,1,13,1,12,1,10,1,11,2,9,2,12,1,9,1,8,2,9,1,11,1,9,1,13,1,9,3,8,1,9,1,10,2,8,1,9,1,8,1,13,1,8,1,9,1,12,3,10,1,9,2,8,4,6,1,7,1,8,1,13,7,8,1,13,1,6,2,7,2,13,1,30,1,6,1,13,1,6,5,30,1,28,1,6,1,13,1,30,1,6,1,13,1,6,4,30,1,6,1,29,1,28,1,30,1,7,1,30,2,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,4,30,1,6,1,28,1,6,1,30,1,28,1,30,2,6,1,30,1,7,1,6,1,7,1,6,1,13,1,30,1,9,1,13,1,8,1,9,2,16,1,5,45,28,9,6,1,9,2,12,2,9,1,13,1,9,1,13,1,8,1,6,1,30,1,29,1,13,2,8,1,24,1,9,1,30,1,28,5,6,1,8,1,24,1,28,1,30,2,28,29,8,1,15,1,7,1,29,1,6,2,24,1,17,1,10,1,}, {7,1,6,1,7,1,10,1,16,1,30,2,29,1,28,3,30,1,29,1,6,1,28,9,30,1,28,6,30,1,28,3,30,1,28,6,29,1,6,2,30,1,6,1,8,2,9,1,12,1,17,3,9,1,13,1,8,1,6,1,29,2,8,1,12,1,17,2,9,1,8,2,7,1,8,1,6,1,13,1,6,2,7,1,10,1,8,1,13,2,8,1,6,1,8,1,13,1,16,1,17,2,9,1,11,1,9,1,8,1,13,1,9,2,17,2,11,1,6,1,8,2,9,1,12,1,9,1,8,1,30,1,28,1,30,1,28,9,30,1,28,10,30,2,6,1,13,1,8,1,7,1,8,1,13,1,12,1,30,4,29,1,30,1,6,1,29,1,8,1,9,1,16,1,14,1,9,1,8,1,13,1,6,1,7,1,13,1,6,3,28,1,7,1,6,1,9,1,10,1,9,1,8,1,30,1,28,1,29,1,28,1,30,1,28,5,30,1,28,3,29,1,9,2,10,1,16,1,9,1,11,2,16,3,11,1,9,1,11,1,16,2,9,1,16,2,9,2,8,1,9,2,8,1,9,1,16,1,9,1,11,2,9,1,11,2,9,2,11,1,9,1,16,1,9,1,11,1,10,1,9,1,10,1,16,1,9,1,12,1,9,1,13,1,28,4,30,1,28,1,30,1,28,13,29,1,30,1,13,1,6,1,7,1,6,1,8,1,29,1,6,1,30,2,6,1,28,2,30,1,28,3,29,1,28,93,30,1,28,11,30,1,28,2,30,1,6,1,30,1,28,1,29,1,28,1,30,2,28,1,29,1,28,2,29,1,28,46,30,1,28,8,29,1,28,22,30,1,28,1,30,1,28,1,29,1,28,1,7,1,28,1,30,1,6,3,29,1,7,1,13,2,7,1,8,1,13,1,8,3,9,1,13,1,9,1,8,1,24,1,12,1,8,1,12,1,9,2,10,1,9,2,11,1,10,3,12,1,9,1,17,4,12,1,9,1,17,5,12,1,17,1,12,1,10,1,17,17,16,1,9,2,8,1,9,1,8,1,9,1,13,1,9,3,13,1,9,1,13,1,9,3,8,2,9,1,13,2,9,1,13,1,6,1,13,8,6,1,13,1,9,1,30,1,13,4,6,1,13,5,9,1,13,1,8,1,13,1,9,2,13,2,9,2,6,1,13,3,9,1,8,2,13,1,6,1,13,1,9,1,13,1,11,1,8,1,13,4,9,1,13,1,8,1,9,1,13,8,30,1,6,1,13,4,8,1,13,1,9,1,13,5,9,3,8,1,9,2,13,1,28,70,30,2,6,3,13,2,8,2,9,1,12,1,17,2,9,1,30,1,28,52,6,1,29,2,30,1,7,1,13,1,30,1,7,1,24,1,8,1,13,1,8,1,24,1,13,1,9,1,8,1,24,1,13,1,10,1,9,2,24,2,8,1,9,1,8,3,9,3,13,1,5,1,33,117,5,317,11,1,13,4,8,1,6,3,7,1,13,2,8,2,13,1,6,1,7,1,8,1,11,1,17,8,12,1,17,11,12,1,9,1,11,1,9,1,12,1,11,1,12,1,10,1,9,2,11,1,9,1,11,1,12,1,10,1,17,1,11,1,12,1,17,50,12,1,11,1,9,1,11,1,9,1,12,1,17,5,12,1,17,1,9,2,12,1,17,1,10,1,11,2,10,1,12,1,9,2,10,1,9,2,11,2,17,4,24,1,8,2,9,2,8,3,24,2,10,2,11,2,17,1,12,1,17,3,11,1,17,1,9,1,7,2,8,1,7,1,29,1,13,3,8,1,9,2,11,2,16,1,11,1,17,1,16,1,11,1,16,1,17,1,16,4,17,1,16,1,17,2,16,2,17,2,16,1,11,2,16,1,9,1,11,1,17,1,11,2,17,6,16,1,9,1,11,1,16,1,11,5,9,1,11,1,9,1,11,1,9,1,11,1,9,2,10,1,9,2,16,1,11,1,17,2,16,1,9,2,11,1,9,2,10,1,9,1,10,1,11,1,9,1,10,2,9,2,11,6,9,1,17,1,11,1,9,2,16,1,11,1,9,1,17,1,8,1,9,1,10,1,8,1,9,1,12,1,9,2,11,1,10,2,9,1,10,1,9,1,10,1,9,1,10,1,7,1,6,3,29,1,28,1,24,1,14,1,24,1,8,1,26,2,8,1,27,1,28,1,30,1,24,1,10,2,15,1,12,1,14,1,24,1,12,1,15,1,8,1,13,1,29,1,28,1,8,1,9,1,28,12,30,1,28,2,30,1,28,1,30,1,28,1,29,1,6,1,13,1,28,2,30,1,13,1,8,1,13,1,29,2,30,2,28,4,30,1,29,1,13,1,29,1,13,1,17,1,16,1,8,1,13,1,12,1,13,1,9,1,11,1,9,1,13,1,24,1,6,1,13,1,24,1,8,1,9,1,12,1,15,1,6,1,30,1,6,1,30,1,8,1,15,2,14,1,12,2,17,1,7,1,17,1,14,1,10,1,6,1,30,1,28,3,30,1,28,5,6,2,12,1,17,1,24,1,7,1,24,1,13,1,8,1,17,4,16,1,12,1,9,1,12,1,9,1,10,1,16,1,13,1,9,3,10,1,11,1,17,10,13,1,6,5,7,1,25,1,26,1,8,1,29,1,27,1,25,1,26,1,27,1,25,1,8,1,25,1,24,1,8,1,25,1,8,4,25,1,27,1,6,1,30,2,29,1,28,24,29,2,28,2,29,2,6,1,7,1,6,1,29,1,13,2,24,1,17,1,28,38,30,1,13,1,12,1,29,1,6,3,30,1,6,1,28,1,6,1,28,1,30,1,28,2,30,1,28,20,30,1,28,33,29,1,28,4,29,1,28,2,29,1,28,1,29,1,28,1,30,2,28,1,29,1,28,2,30,1,28,38,30,1,28,3,6,2,28,1,6,1,30,1,13,1,6,1,7,1,6,1,7,1,13,1,6,1,13,1,7,1,13,1,7,2,6,1,30,1,13,1,29,1,7,1,6,1,29,1,6,1,29,1,7,2,13,5,6,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,7,1,24,1,13,1,9,2,11,1,9,1,8,1,9,1,8,2,9,1,24,1,7,1,8,3,9,1,13,1,8,1,13,1,24,1,8,1,13,2,9,1,13,1,8,2,13,1,8,1,24,1,9,1,13,1,24,1,9,1,24,1,13,2,24,1,8,1,13,1,6,1,13,2,7,1,13,1,29,1,6,5,30,2,7,1,30,2,29,2,6,1,29,2,28,1,29,1,30,1,28,89,6,1,13,2,17,33,10,1,17,1,12,1,11,2,9,2,10,1,17,1,9,1,17,5,9,1,11,2,9,1,11,4,10,1,11,4,12,1,10,2,11,3,9,2,11,1,12,1,10,1,9,1,17,1,11,1,10,2,8,1,10,1,11,1,12,3,9,1,24,1,10,1,13,2,9,1,8,2,13,1,8,1,13,1,10,1,8,1,9,1,13,1,7,1,13,1,7,1,13,1,7,1,13,3,6,1,13,3,7,1,6,1,13,2,7,1,6,1,7,1,6,1,30,1,6,1,13,1,7,1,29,1,13,1,9,1,7,1,13,1,9,1,13,5,30,1,13,1,30,2,6,1,28,1,6,1,28,1,7,1,30,3,6,1,28,1,29,1,28,4,30,3,28,1,30,1,28,1,29,1,6,1,30,2,13,1,6,2,13,1,6,1,9,1,13,1,9,1,5,42,28,9,13,1,9,3,12,1,8,2,13,1,29,1,13,1,30,1,6,2,13,2,8,1,9,1,24,1,29,1,28,6,24,1,8,1,28,2,30,1,28,29,9,1,17,1,6,1,30,1,7,1,8,1,15,1,14,1,11,1,}, {9,1,24,1,8,1,24,1,10,1,6,1,30,2,28,4,30,1,28,8,30,1,28,5,30,1,28,1,6,1,28,1,29,1,28,10,30,1,7,1,29,1,6,2,8,2,9,1,12,1,17,2,9,1,13,1,6,1,13,1,7,1,29,1,8,1,17,3,8,1,13,1,8,1,13,2,6,4,13,1,9,1,13,3,8,2,13,2,8,1,17,1,10,1,8,1,10,1,7,1,13,3,10,1,17,2,12,1,9,2,24,1,8,1,9,1,8,2,28,23,30,2,6,1,13,1,7,1,13,2,8,1,24,1,13,1,30,1,28,4,6,1,29,1,8,2,12,1,14,1,24,2,13,2,6,4,7,1,29,1,13,2,9,2,12,1,8,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,28,3,6,1,10,1,12,1,17,1,16,2,11,1,17,1,16,1,9,3,10,1,11,2,16,1,9,3,8,1,9,2,11,2,9,3,8,1,10,1,16,1,9,3,8,1,11,1,9,1,11,2,8,1,16,1,10,1,9,1,11,1,9,1,11,1,9,2,11,1,6,1,30,1,28,1,29,1,28,1,29,1,30,1,28,1,29,1,28,10,30,1,6,3,13,1,24,1,13,1,7,1,13,1,7,1,28,1,29,1,28,1,30,4,28,8,30,1,28,81,30,1,28,16,30,1,28,1,29,2,28,4,6,1,29,1,28,1,6,1,28,1,6,1,29,1,28,78,29,1,28,4,30,1,6,1,28,1,29,1,30,1,29,1,30,1,28,1,6,1,7,1,6,1,7,1,6,1,13,1,24,1,13,2,24,1,13,1,24,1,8,1,10,1,13,1,10,1,7,1,8,1,24,1,9,1,24,1,10,1,12,2,10,1,9,1,17,5,10,1,12,1,17,9,10,1,17,1,12,1,17,6,12,1,17,5,12,1,17,1,11,1,17,1,16,2,9,1,11,2,16,1,11,1,9,1,11,1,8,2,13,1,9,5,13,1,11,1,9,5,13,1,8,1,9,1,13,4,8,1,6,1,13,5,8,1,13,1,6,1,13,2,9,1,8,1,13,1,9,1,13,1,9,1,6,1,9,2,13,4,6,1,8,1,6,1,13,3,9,1,13,3,8,1,13,1,8,1,13,2,8,1,6,1,9,2,13,4,9,1,13,4,6,1,13,1,9,1,13,2,9,1,13,1,9,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,8,2,9,3,8,1,9,1,13,1,28,70,30,1,28,1,29,1,6,1,13,1,24,1,8,1,7,1,13,1,8,1,17,3,9,1,6,2,28,52,30,1,28,1,29,3,6,1,13,1,6,2,7,1,13,2,8,2,10,1,13,1,9,1,8,2,24,1,8,1,9,2,8,1,11,1,24,2,8,1,9,3,13,1,5,1,33,119,5,316,9,2,8,1,9,1,13,3,6,2,30,1,13,1,7,1,13,1,7,1,6,1,7,1,24,1,8,1,10,1,12,1,17,19,11,1,9,1,11,1,10,1,9,5,11,1,9,2,11,1,12,1,10,1,11,1,12,1,17,50,12,2,11,1,10,1,12,2,17,5,12,1,9,1,10,1,12,1,10,1,13,1,10,1,12,1,24,2,10,1,9,2,13,1,10,2,9,1,10,1,17,1,12,1,17,1,9,1,24,2,10,1,11,1,24,1,8,2,24,1,10,1,8,1,9,1,10,2,11,1,17,1,12,1,17,6,9,1,13,4,6,1,13,1,6,1,8,1,9,1,12,1,9,1,11,2,17,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,17,3,16,1,17,1,16,2,17,1,16,1,17,2,16,3,17,1,11,1,16,3,17,5,16,3,11,1,9,1,16,3,11,6,9,2,13,1,9,2,13,1,11,3,16,1,17,2,11,1,13,1,9,1,13,1,9,1,11,1,9,2,10,1,9,2,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,3,16,1,11,2,17,1,11,1,9,1,17,1,11,1,10,2,11,1,8,1,11,1,8,1,12,1,10,1,11,1,9,1,11,2,17,1,11,2,10,1,17,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,6,1,24,1,12,1,14,1,15,1,29,1,26,1,28,1,29,1,8,1,24,1,9,2,12,1,9,1,15,1,10,1,8,1,6,1,8,3,30,1,28,2,13,1,30,1,28,11,6,1,30,1,28,2,30,1,7,1,13,1,30,2,6,1,24,1,6,1,28,11,29,1,13,1,6,1,28,1,17,1,16,1,8,1,17,1,9,2,13,1,8,1,13,1,9,4,8,2,17,1,7,1,29,2,28,1,29,1,8,1,14,1,15,1,24,1,9,1,8,1,17,2,14,1,11,1,13,1,28,4,29,1,30,1,28,3,29,1,28,1,29,1,28,1,24,1,15,1,9,1,29,2,6,1,13,1,17,5,10,1,9,2,10,1,17,1,16,1,9,3,16,1,11,1,9,1,17,9,9,1,8,1,13,1,6,1,25,1,26,2,27,1,25,1,27,1,25,1,27,3,29,1,25,3,8,1,25,1,8,1,25,1,8,1,25,1,27,1,25,1,26,1,29,1,28,1,30,1,28,29,30,2,29,2,30,1,6,2,13,1,24,1,13,1,17,1,28,38,9,1,10,1,24,1,13,1,6,1,30,1,29,1,28,1,29,1,30,3,28,15,30,1,28,1,30,1,28,33,30,1,28,5,6,1,29,1,6,1,28,1,6,1,29,1,28,1,7,1,28,1,6,2,30,1,6,2,28,1,30,1,28,41,30,1,28,1,6,1,30,2,28,1,6,2,7,1,24,1,7,1,6,1,8,1,13,2,7,1,6,1,7,1,6,1,8,1,13,1,29,1,7,1,6,3,9,1,6,3,7,1,13,1,6,3,29,1,6,4,8,1,6,1,30,1,7,1,13,2,8,1,13,1,7,1,13,1,8,2,13,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,3,8,2,13,1,8,1,13,2,7,1,9,2,6,1,24,3,8,5,13,2,24,1,9,1,7,1,30,2,13,1,6,1,13,1,7,1,6,1,7,2,6,1,30,1,6,1,28,2,6,1,28,5,30,1,28,4,30,1,28,89,29,1,6,1,10,1,17,32,12,2,11,1,17,9,10,1,17,1,11,1,17,2,12,1,11,1,17,2,12,1,11,1,17,2,11,1,17,1,12,2,17,2,12,1,17,2,12,4,17,1,10,1,12,2,17,2,12,1,17,1,12,1,17,1,10,1,11,1,9,2,10,1,9,3,10,1,9,1,10,1,8,1,9,3,8,1,10,2,9,3,13,1,9,1,13,1,8,1,9,2,13,1,9,1,13,1,8,2,9,1,13,1,6,1,7,1,9,1,13,2,6,1,7,2,13,4,7,1,8,1,13,2,9,1,6,1,13,3,7,1,30,1,7,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,28,2,6,1,30,2,28,3,6,1,28,2,6,2,30,3,6,1,13,3,6,1,13,1,6,1,13,3,5,38,28,9,13,1,17,1,9,1,11,1,8,1,9,1,13,1,7,1,28,1,30,1,29,1,30,1,6,1,8,1,9,1,8,1,24,1,12,1,6,1,28,6,24,1,6,1,30,1,28,31,9,1,12,1,9,1,29,1,7,1,6,1,11,1,17,1,12,1,}, {8,1,6,2,13,2,29,1,28,4,30,1,28,12,30,2,28,5,29,1,30,1,28,9,30,2,28,1,7,1,28,1,9,1,13,1,8,1,24,1,8,1,17,2,8,1,13,1,6,1,7,1,6,2,7,1,11,1,17,1,16,1,13,1,8,1,7,1,13,2,7,1,29,1,13,1,6,1,13,1,24,1,9,1,13,2,8,2,13,2,9,1,12,1,11,1,10,1,8,1,13,1,8,3,24,1,17,3,9,1,10,1,24,1,9,2,24,1,8,1,28,6,30,1,28,16,30,1,6,3,13,2,8,1,24,1,8,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,8,1,9,1,15,1,14,1,24,1,8,1,24,1,6,1,29,1,13,1,6,3,13,2,8,1,11,1,9,2,7,1,30,2,29,1,30,1,28,1,30,1,28,8,7,1,12,2,9,1,17,1,16,1,17,1,10,1,9,2,10,1,16,2,11,3,16,1,11,1,16,3,9,1,11,2,13,1,9,2,8,1,9,3,11,1,9,5,11,1,9,1,8,1,9,2,11,1,9,2,17,1,11,1,17,1,9,1,29,1,28,1,30,2,28,1,6,1,29,1,30,1,28,1,30,1,28,8,6,1,30,1,29,1,6,1,7,1,8,1,13,1,8,1,6,1,8,1,6,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,75,30,1,28,23,30,1,28,4,30,1,28,4,29,1,30,1,29,2,30,1,28,1,6,1,28,38,30,1,28,42,29,1,30,2,28,3,29,1,28,1,6,1,30,1,7,1,29,2,8,1,29,1,13,1,8,1,29,1,7,1,24,1,8,1,6,1,24,1,10,1,8,1,7,1,10,1,9,1,24,2,8,1,24,1,13,1,12,1,9,1,11,1,17,1,12,1,10,1,17,2,10,1,11,1,17,1,11,1,17,4,9,1,17,3,12,1,17,4,12,2,17,3,12,1,17,1,12,1,17,6,16,1,11,2,16,1,9,1,8,1,9,2,11,1,9,2,8,1,13,2,9,3,13,1,9,2,8,1,9,1,13,1,11,1,9,2,13,1,9,1,13,1,9,1,13,3,9,1,13,4,8,1,9,3,13,1,8,1,13,1,6,1,13,2,8,1,13,1,6,1,13,1,6,1,8,1,9,1,8,1,9,1,13,6,6,1,9,1,13,1,6,1,13,5,9,1,13,1,6,1,13,13,8,1,13,4,6,2,13,5,9,1,11,1,9,2,16,1,9,1,6,1,28,71,6,1,28,1,6,1,13,1,6,2,13,1,8,1,9,1,10,1,17,3,6,2,28,25,30,1,6,1,28,23,30,1,28,3,6,1,30,1,13,1,30,2,29,2,13,1,8,3,13,1,9,1,24,1,13,1,10,1,9,1,12,1,13,1,10,1,24,1,9,1,24,1,8,2,10,2,13,1,10,1,8,1,13,1,33,123,5,314,13,1,7,1,8,1,13,2,9,1,13,1,6,2,7,1,8,1,7,1,8,1,7,2,13,1,8,1,9,1,17,20,12,1,9,1,11,1,10,1,11,1,10,1,8,1,10,1,9,1,10,2,9,1,11,1,12,1,10,1,11,2,12,1,17,49,11,1,17,3,12,1,17,5,12,2,8,1,13,1,12,1,8,1,10,2,24,1,10,1,8,2,24,1,8,1,10,2,24,1,17,1,12,1,17,4,9,2,8,1,9,2,24,2,8,1,24,2,9,3,17,1,12,1,17,8,9,1,13,1,7,1,13,1,8,1,13,1,6,1,13,2,10,1,8,1,11,2,17,1,11,2,17,2,16,1,17,5,16,1,17,2,16,1,17,1,11,2,16,3,9,1,16,2,17,1,16,2,17,2,16,1,17,5,9,1,11,1,16,1,11,4,10,1,11,1,9,2,13,1,9,2,10,1,11,1,9,2,11,3,17,1,16,2,13,1,9,4,8,1,10,1,9,6,11,3,9,1,11,1,9,2,11,3,17,1,11,3,16,1,9,1,11,3,9,2,11,1,9,2,10,1,9,1,11,2,16,1,9,1,12,1,11,1,9,1,13,1,28,2,30,1,28,1,29,1,30,1,26,1,27,2,28,2,30,1,27,1,29,1,27,1,12,1,9,4,11,1,9,1,8,1,13,1,29,1,8,2,30,1,28,3,7,1,29,1,28,11,13,1,30,1,28,3,24,1,30,1,6,1,29,1,24,1,6,1,30,1,28,8,6,1,28,3,13,1,6,1,28,1,11,1,17,1,8,1,16,2,13,1,8,1,13,2,8,1,7,1,24,1,10,1,24,1,12,1,17,1,6,1,30,1,28,3,8,1,14,1,8,1,7,1,24,1,8,1,9,1,16,1,14,1,9,1,6,1,28,1,30,2,13,1,28,1,30,1,28,2,30,1,7,1,6,2,28,1,6,1,9,1,15,1,6,1,29,1,30,1,8,1,17,5,16,1,11,2,9,1,12,1,11,1,12,1,11,1,9,1,12,1,10,1,9,1,8,1,11,1,9,1,12,1,17,4,10,1,8,1,7,2,25,2,26,1,8,1,27,1,25,1,8,1,27,1,26,1,25,3,27,1,25,1,26,2,25,1,27,3,8,1,27,1,29,1,28,33,30,1,28,1,30,1,28,1,6,1,28,1,30,1,13,2,24,1,17,1,9,1,28,37,13,1,17,1,9,1,29,2,6,1,30,2,6,1,30,1,28,1,30,1,28,2,30,1,28,52,6,1,28,2,30,1,29,1,6,2,7,1,30,1,29,1,7,1,30,1,28,1,7,1,28,1,6,1,29,1,30,1,6,1,29,1,6,1,29,1,6,1,28,31,30,1,28,1,30,2,28,1,6,1,29,1,6,1,30,2,29,1,6,1,13,1,7,1,13,1,6,1,13,2,8,1,6,1,8,1,7,1,6,1,13,1,7,1,6,2,7,1,29,1,13,1,6,1,7,1,30,1,6,9,29,1,30,1,13,1,29,1,6,1,8,1,7,1,6,1,13,1,29,1,24,2,13,2,24,1,13,3,8,2,24,1,13,2,24,1,13,2,7,1,8,1,13,1,8,1,24,1,13,2,8,1,13,2,8,2,24,1,8,1,13,1,8,1,9,1,8,1,24,1,7,1,8,2,7,1,8,1,7,1,8,1,7,1,6,1,13,1,7,1,30,2,6,2,7,1,6,1,7,2,6,1,28,1,6,1,28,1,6,1,28,1,30,1,29,1,30,1,29,1,28,1,29,1,28,8,30,1,28,83,30,1,28,2,7,1,8,1,10,1,11,1,17,41,11,1,17,1,12,1,17,5,12,1,17,1,11,1,17,2,12,1,17,2,12,1,17,1,11,1,17,16,9,1,12,1,9,1,8,1,12,1,9,1,10,1,12,1,10,1,12,1,11,1,9,1,17,1,11,1,9,1,12,1,10,1,9,2,10,1,9,2,24,1,10,1,9,1,8,3,9,1,13,1,9,2,13,1,9,1,8,1,9,1,7,1,13,2,9,1,7,1,13,2,8,3,7,1,8,1,13,3,30,1,8,1,9,2,8,1,9,1,8,1,6,1,9,1,6,3,7,1,6,1,7,1,6,1,28,1,30,4,28,1,6,1,30,1,28,5,6,1,30,1,6,3,30,1,6,1,28,1,6,1,30,1,13,4,5,35,28,9,7,1,17,1,9,1,11,1,9,1,13,1,6,1,29,1,6,3,7,1,6,1,24,3,17,1,8,1,30,1,28,5,29,1,13,1,6,1,28,2,30,2,28,28,11,1,9,1,6,1,30,1,29,1,6,1,14,1,17,1,12,1,}, {13,2,6,1,9,1,10,1,13,1,28,1,30,1,28,7,6,1,28,10,30,1,28,3,30,1,28,6,30,1,28,3,30,1,29,1,6,1,7,1,30,1,13,1,8,2,24,1,9,1,17,2,11,1,6,1,13,1,6,1,29,1,6,2,12,1,17,1,10,1,11,1,9,1,8,1,9,1,8,1,13,3,6,2,8,1,15,1,8,3,13,3,9,1,11,1,12,1,8,2,13,4,9,1,17,2,12,1,24,1,13,1,24,3,14,1,13,1,28,24,29,1,13,1,7,1,13,1,7,1,24,1,8,2,29,1,28,5,29,1,30,1,7,1,9,1,12,1,14,1,11,1,9,1,8,1,9,1,13,3,7,1,13,1,6,1,24,2,12,1,11,1,17,1,6,1,28,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,13,1,11,2,17,1,11,1,10,1,16,1,10,2,11,3,16,1,17,1,16,1,10,1,11,1,9,1,16,3,9,2,10,1,9,4,8,1,13,1,9,4,8,1,11,1,16,1,9,1,11,1,9,1,10,2,13,1,9,1,11,1,9,1,17,1,9,1,11,1,13,2,30,2,28,1,8,1,6,1,28,11,29,1,7,1,8,1,6,1,7,1,8,2,10,1,7,3,6,1,29,2,30,1,29,1,28,1,29,1,28,1,29,1,28,1,30,1,28,105,29,1,28,2,30,1,6,1,29,2,28,1,29,1,28,1,30,2,28,73,30,1,28,8,6,1,30,3,6,1,29,1,6,1,28,1,29,1,6,1,7,1,6,1,13,1,6,1,7,1,8,1,7,1,8,1,24,4,8,2,9,1,8,1,10,1,24,1,10,2,24,1,10,1,9,1,11,1,12,1,10,1,17,1,10,1,17,3,12,1,17,1,11,1,17,8,12,1,17,2,10,1,17,1,12,1,17,2,12,1,17,8,16,1,9,1,16,1,9,1,8,1,16,1,9,1,8,2,13,1,9,1,13,2,9,1,11,1,9,4,16,1,13,1,9,8,13,1,11,1,13,2,9,1,8,1,9,1,13,3,9,1,6,1,13,1,9,1,13,1,9,2,13,1,9,2,13,6,6,1,13,1,9,1,13,1,9,2,13,2,8,1,13,8,6,1,13,2,30,1,13,1,6,1,8,1,13,3,6,2,13,1,6,2,13,1,30,1,13,1,6,1,13,5,9,1,13,2,9,1,8,1,11,1,8,1,9,3,28,70,29,1,28,2,6,1,8,2,7,1,24,1,7,1,12,1,9,2,24,1,17,2,11,1,6,1,28,55,6,1,28,2,6,1,7,2,6,1,8,1,7,1,24,1,10,1,24,1,8,1,24,1,9,1,10,1,9,1,24,1,12,1,9,1,24,3,11,1,9,1,13,1,9,4,28,1,5,1,33,124,5,312,11,1,13,1,8,2,13,1,6,1,7,1,6,1,7,2,13,1,29,1,8,1,7,1,13,1,8,1,24,1,8,1,12,1,17,20,12,1,9,2,10,1,11,1,24,1,8,1,11,1,8,1,10,1,9,2,12,1,10,1,17,1,9,1,12,1,17,1,12,1,17,47,11,1,17,1,12,1,17,8,12,1,10,1,11,1,17,1,11,2,12,1,9,1,11,1,9,1,10,1,8,1,13,1,10,2,11,1,12,2,17,3,9,2,10,1,11,1,10,1,12,1,8,1,9,1,10,1,13,1,24,1,9,1,24,2,12,1,17,10,9,1,7,1,13,1,8,1,13,1,6,1,13,3,10,1,9,1,11,3,17,2,16,1,17,9,16,2,17,1,16,5,17,1,16,3,17,2,16,1,17,5,16,1,11,2,16,3,11,5,9,4,11,4,16,1,11,1,16,1,9,1,11,1,17,1,9,2,13,2,8,5,9,2,10,3,9,2,11,2,9,1,11,1,16,1,9,1,16,1,11,1,16,1,17,1,11,1,17,1,16,1,11,1,16,1,11,1,9,2,11,2,17,1,11,2,16,1,11,1,16,1,11,2,16,1,11,1,12,1,10,1,29,1,28,4,29,1,8,1,30,1,27,1,26,1,30,1,29,1,28,1,8,1,24,2,9,1,17,1,9,1,11,2,8,2,13,1,24,1,29,1,28,3,30,2,28,12,6,1,30,1,28,3,7,1,6,2,7,2,28,8,6,1,13,1,6,1,28,3,6,1,13,1,30,1,6,1,17,1,9,2,13,1,9,1,8,1,9,1,10,1,9,1,17,2,24,1,9,1,17,2,28,1,30,1,28,2,29,1,24,1,14,2,13,1,9,1,10,1,9,1,13,1,10,1,30,1,28,1,30,1,6,1,24,2,13,1,30,1,29,1,28,1,13,1,7,2,6,2,28,1,29,1,10,1,6,1,7,1,29,1,9,1,17,1,10,1,17,2,16,1,11,1,16,1,17,1,9,1,11,1,10,1,9,1,11,2,9,2,8,1,9,1,11,1,9,1,8,1,11,1,17,4,24,5,25,1,24,2,25,1,8,1,27,1,8,1,27,1,25,1,26,1,25,1,29,1,25,2,26,1,30,1,25,1,30,1,26,1,28,39,6,1,28,1,7,1,29,1,24,1,7,1,24,1,8,1,28,37,13,1,17,1,8,1,30,1,6,2,30,1,29,2,6,1,28,1,7,1,6,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,13,30,1,28,18,30,1,28,5,30,2,29,2,28,1,30,1,29,1,30,2,13,1,30,1,6,1,7,2,13,2,6,1,29,4,30,1,6,3,28,33,30,2,7,1,30,1,29,3,6,1,8,1,7,2,8,1,13,3,9,1,6,1,8,1,24,1,13,1,8,1,7,2,13,2,6,1,7,1,29,1,13,2,7,1,30,1,6,2,7,1,6,3,29,1,6,1,7,1,29,1,7,1,6,1,7,1,6,1,13,3,7,2,24,1,7,1,13,1,7,1,9,2,7,1,9,1,13,1,9,3,8,5,9,1,6,1,8,1,7,1,8,1,13,2,9,1,8,2,9,1,8,2,7,1,13,2,24,1,13,1,8,1,6,1,8,2,13,1,8,1,6,2,13,1,6,2,7,1,29,1,7,1,6,1,13,1,6,2,7,1,29,4,6,1,28,1,6,1,28,1,30,2,28,2,29,1,28,1,29,1,28,1,30,1,28,2,29,1,28,1,30,1,28,82,30,3,6,1,28,1,9,1,8,1,10,1,9,1,12,1,17,36,12,1,17,15,12,2,17,2,11,1,17,1,12,1,17,13,11,2,12,1,17,1,10,1,11,2,12,3,17,2,11,1,17,1,10,1,11,1,9,1,12,1,9,1,17,1,10,1,9,1,17,1,9,4,12,1,9,3,8,1,13,1,8,1,13,1,8,2,9,1,13,2,9,2,13,1,8,1,7,1,9,3,8,2,9,1,13,1,9,1,8,1,10,1,9,1,8,1,9,1,12,1,9,1,13,1,8,1,9,1,13,1,9,1,13,2,9,1,6,1,13,1,30,1,29,1,28,4,30,1,28,1,29,1,28,1,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,2,6,1,30,1,13,2,33,1,5,31,28,9,13,1,14,1,16,1,10,1,8,1,9,1,13,1,7,1,13,1,29,1,13,1,7,1,29,1,24,1,9,1,8,1,17,1,9,1,28,6,6,1,10,1,8,1,28,2,30,2,28,28,10,1,12,1,13,1,6,1,13,1,8,1,14,1,17,1,9,1,}, {29,1,8,1,24,1,7,1,9,1,13,1,28,6,30,1,28,2,13,1,28,5,30,1,28,4,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,8,30,2,29,1,6,1,30,1,8,2,6,1,13,1,9,1,16,1,17,1,9,1,6,1,29,1,6,2,28,1,6,1,11,1,17,1,9,1,13,1,8,2,15,1,10,1,13,1,8,1,29,1,30,1,6,1,14,1,24,1,29,1,6,1,13,1,8,3,12,1,9,1,11,1,9,1,6,1,13,1,7,1,8,2,7,1,10,1,17,2,10,1,11,1,7,1,24,1,30,1,8,2,29,1,28,12,30,1,28,8,30,1,28,1,29,1,8,1,24,3,13,1,24,2,29,1,30,2,28,1,30,3,29,1,8,1,17,3,12,1,11,1,8,1,9,1,8,1,13,1,7,1,29,1,6,2,9,1,24,1,12,1,10,1,12,1,13,1,29,1,28,6,30,1,28,2,30,1,28,3,10,1,12,1,11,1,12,1,11,2,10,1,16,1,11,1,9,1,16,1,11,1,16,1,9,2,11,1,16,1,11,1,16,1,11,1,9,1,16,1,13,1,9,1,8,1,10,1,13,1,9,1,11,1,8,1,9,4,11,2,13,1,9,2,8,1,9,2,11,2,16,1,9,1,10,1,17,1,12,1,11,1,6,2,29,1,30,1,7,1,30,1,28,2,30,2,28,2,30,2,28,1,30,1,28,1,29,1,6,2,8,1,13,1,7,1,10,1,24,2,6,5,29,1,30,2,28,2,29,1,28,102,6,1,28,2,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,6,1,30,2,28,1,29,2,30,1,28,78,29,1,30,3,28,2,30,4,28,1,29,1,6,1,13,1,29,1,8,1,13,1,7,2,10,1,8,1,6,1,10,1,8,3,24,1,10,1,8,1,9,1,10,1,13,1,9,1,24,1,10,1,9,1,10,2,12,1,9,1,12,1,17,1,9,1,10,1,12,2,17,1,12,1,10,1,17,3,12,1,11,1,17,5,9,1,17,1,11,1,17,8,11,1,17,1,11,1,9,2,11,1,9,2,16,1,9,2,16,1,13,1,11,1,9,4,16,2,9,1,16,1,11,1,9,3,8,1,11,1,9,6,13,1,9,2,13,1,9,1,13,1,9,3,13,1,9,2,8,1,13,1,9,1,13,1,9,1,13,2,9,1,13,1,6,1,13,4,9,1,13,2,6,1,13,6,9,1,13,4,6,1,13,1,30,1,9,1,13,4,9,1,6,1,13,4,9,1,13,5,8,1,13,1,9,2,16,1,9,1,13,2,9,3,13,1,28,8,6,1,28,61,6,1,30,1,6,1,30,1,13,1,7,1,13,1,6,1,9,1,13,1,8,1,9,1,11,1,12,1,17,2,8,1,6,1,28,2,30,1,28,25,30,1,28,24,30,2,28,1,7,1,6,1,29,1,8,1,24,1,29,1,13,1,30,1,12,1,13,1,24,1,13,1,9,2,24,1,9,1,12,1,10,1,24,1,9,1,10,1,8,1,9,1,10,1,13,1,10,1,8,1,9,1,13,1,30,1,5,1,33,126,5,311,13,1,8,1,6,2,7,1,8,1,6,2,7,1,13,7,10,1,9,1,17,2,12,1,17,18,9,1,11,2,9,3,10,1,9,1,13,1,9,2,12,1,9,1,10,3,12,2,17,48,12,1,17,1,12,1,17,6,10,1,17,1,12,1,10,1,12,1,9,1,10,1,12,1,24,1,9,3,10,1,24,1,13,1,9,1,12,1,10,1,12,1,17,1,12,1,17,1,10,1,9,1,11,1,10,1,8,1,24,1,8,1,12,1,10,1,8,1,10,2,8,1,9,1,12,1,17,11,11,1,8,1,6,1,9,1,13,2,29,1,9,1,8,1,13,1,16,1,17,1,16,1,17,2,16,3,17,5,16,1,11,1,16,1,17,1,16,1,17,2,16,2,17,1,11,1,17,1,16,1,17,1,16,2,17,4,16,2,17,2,16,1,11,2,16,2,10,1,9,1,11,2,9,2,13,1,11,5,16,1,11,1,9,2,11,1,17,1,8,1,9,2,13,1,9,3,13,1,9,3,16,1,10,1,11,1,9,1,16,2,9,1,11,2,9,1,11,1,17,1,16,1,17,2,11,1,16,1,17,1,16,1,9,2,11,1,10,1,9,1,11,1,8,1,11,1,9,2,16,1,9,1,16,1,9,3,10,1,11,1,16,1,13,1,6,1,28,2,13,1,24,1,7,1,30,1,28,1,30,1,29,1,30,1,25,1,8,1,24,1,12,1,17,1,16,1,12,1,9,1,6,2,8,1,7,1,28,4,30,1,28,19,8,1,29,1,13,1,6,1,28,3,30,1,28,3,6,1,8,2,13,1,9,2,13,1,29,1,13,1,30,1,6,1,17,1,11,2,10,1,17,1,11,1,16,1,11,2,17,2,10,1,17,3,24,1,28,1,6,2,28,1,29,1,24,1,14,3,17,1,12,1,17,1,10,1,28,1,30,1,6,1,24,1,14,1,24,1,8,1,29,1,30,1,9,1,12,1,24,1,7,1,6,2,30,2,8,1,6,1,30,1,9,1,17,1,12,2,17,3,11,1,17,1,9,1,12,1,9,1,11,1,16,1,11,1,16,1,9,1,8,2,11,1,8,1,10,1,17,1,10,1,12,2,10,1,24,1,10,1,24,4,25,1,8,1,24,2,25,1,29,1,24,1,25,3,27,3,28,1,30,1,28,1,27,1,28,40,29,2,28,2,30,1,13,1,6,1,24,1,12,1,28,37,10,1,12,1,13,1,6,1,13,1,7,1,6,1,30,1,6,1,28,1,6,1,28,2,30,1,28,1,29,1,28,2,30,1,28,5,30,3,28,10,30,1,28,7,30,1,28,17,30,4,28,1,6,1,28,1,30,1,29,1,30,2,6,2,30,1,6,1,30,1,13,2,29,1,6,1,7,1,8,1,13,2,6,2,28,1,6,1,30,1,28,29,29,1,30,1,6,3,29,1,7,1,30,1,8,1,30,1,6,1,13,1,8,1,13,1,8,1,13,1,8,2,7,1,17,1,24,1,7,1,13,2,7,2,29,1,6,1,7,1,6,3,7,1,13,1,30,1,6,1,8,1,29,1,30,1,7,1,6,1,7,2,13,1,6,1,13,1,29,1,13,2,8,1,13,1,8,1,13,1,8,1,13,1,7,1,13,2,8,1,9,1,8,1,13,1,8,1,10,1,13,1,8,1,13,1,24,1,7,1,24,2,8,3,6,1,11,1,13,1,8,1,13,1,10,1,24,2,8,1,13,3,10,1,9,1,8,1,13,1,7,1,8,1,13,1,8,1,13,2,6,2,13,2,8,1,28,1,6,1,13,1,6,2,7,2,6,1,13,1,30,1,6,3,29,1,30,2,28,2,29,1,28,1,30,2,29,1,30,1,28,1,30,2,28,6,30,1,28,77,29,1,28,3,7,1,30,1,6,3,7,1,13,1,9,1,17,61,12,1,17,11,12,1,17,1,11,1,17,1,11,2,10,1,12,1,11,1,17,2,12,1,17,1,11,1,10,1,11,1,9,1,12,1,9,1,12,1,17,1,11,2,10,1,9,1,11,1,8,1,9,2,13,1,9,1,13,3,8,1,13,1,9,1,7,1,13,2,8,1,6,1,10,1,11,1,10,1,13,1,9,1,8,1,9,2,12,1,9,6,8,1,9,1,8,1,9,5,13,2,6,1,13,3,30,1,7,1,6,1,30,1,6,2,29,1,28,1,13,1,29,1,6,1,28,1,30,1,28,3,30,1,6,1,28,1,30,1,6,2,13,1,30,1,6,1,9,1,11,1,5,27,28,8,6,1,16,1,17,2,11,1,9,2,13,1,8,1,6,1,13,2,6,1,8,1,24,1,9,1,24,1,17,1,24,1,28,6,6,1,9,1,24,1,28,1,7,1,29,1,6,1,28,27,30,1,9,1,12,1,9,1,29,1,7,2,15,1,14,1,15,1,}, {6,1,13,1,8,2,9,1,6,1,28,8,30,1,28,8,6,1,28,2,29,1,28,1,30,1,28,13,6,1,30,1,6,1,29,1,13,2,8,1,9,2,17,2,8,1,6,1,29,1,6,2,30,2,10,1,17,1,12,1,10,1,8,1,24,1,17,1,13,3,6,1,29,1,13,1,10,1,11,1,24,1,8,1,13,2,6,1,24,1,10,1,12,1,24,1,10,1,13,1,7,1,13,3,8,1,17,2,12,1,9,1,8,1,29,1,8,1,7,1,9,1,13,1,28,23,30,1,6,1,13,1,8,2,13,1,10,1,8,2,13,1,30,1,28,1,6,1,30,2,6,1,28,1,24,1,8,1,9,1,11,1,12,1,9,2,10,1,8,1,13,1,7,1,8,1,13,2,24,1,12,1,24,1,17,2,7,1,30,1,28,7,30,2,28,4,13,1,9,1,17,3,10,1,11,2,9,1,16,1,9,2,11,1,9,1,16,1,11,2,16,1,9,1,10,1,16,1,9,2,17,1,9,3,8,1,9,4,8,1,9,1,13,1,8,1,9,4,11,1,8,1,9,3,11,4,17,1,9,1,10,1,13,2,7,1,6,1,28,2,30,1,28,2,30,1,28,1,29,1,28,1,30,1,7,1,6,1,30,1,6,1,24,1,9,1,8,2,10,1,24,1,13,1,24,1,6,1,13,1,29,1,7,1,28,1,30,1,28,2,29,1,28,2,30,1,28,99,30,2,28,1,7,1,30,1,7,1,6,4,28,1,6,1,30,1,7,1,28,1,6,1,28,80,30,1,28,2,30,1,28,3,6,1,30,1,29,1,30,1,13,1,6,2,7,1,13,1,8,1,13,1,30,1,24,1,13,1,24,1,8,1,13,1,8,1,9,1,24,2,10,1,9,1,8,1,17,1,9,1,10,1,17,1,8,2,9,1,11,1,9,2,17,7,11,1,17,4,12,1,17,1,12,1,17,11,16,2,17,1,16,1,17,1,16,1,9,2,16,1,11,1,16,5,9,1,16,1,9,1,16,1,11,1,16,2,11,1,16,2,11,2,10,1,16,1,11,1,8,1,9,2,13,1,9,3,16,1,8,1,9,2,8,1,13,1,16,1,9,2,8,2,13,1,9,1,13,1,6,1,13,1,9,1,13,1,9,3,13,2,9,1,13,1,9,1,13,3,8,1,6,1,13,5,8,1,6,1,13,2,6,1,13,1,6,1,13,2,8,1,13,2,6,2,13,1,6,2,13,1,6,1,9,1,13,2,9,1,13,6,8,1,9,3,8,2,6,1,28,71,6,2,29,1,13,1,7,1,13,1,8,1,13,1,8,1,9,1,24,1,11,1,12,1,17,3,8,1,28,1,30,1,28,1,30,1,28,51,30,1,28,1,6,1,30,1,29,2,24,1,13,1,6,1,24,1,8,1,9,1,8,1,17,1,13,1,12,1,9,1,8,1,9,1,24,1,8,2,9,3,24,1,10,1,12,1,13,1,9,1,6,1,13,1,5,1,33,128,5,310,13,1,30,1,8,1,13,1,7,1,6,1,7,1,6,3,13,1,7,2,13,2,9,1,13,1,12,1,17,21,9,1,11,2,10,1,9,1,24,1,8,1,13,1,8,2,10,1,24,1,9,1,10,2,11,1,17,3,12,1,17,45,12,1,17,1,11,1,17,6,11,1,9,1,17,1,12,1,9,1,17,1,24,1,12,1,10,1,8,2,10,1,9,1,10,2,11,1,10,1,17,1,10,1,17,4,10,1,11,1,24,2,10,1,24,2,8,4,9,1,8,1,10,1,11,1,17,12,9,1,29,1,13,3,7,1,13,2,11,1,17,3,16,1,17,3,16,1,17,4,16,1,17,1,16,2,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,2,17,8,9,1,11,5,9,1,11,2,9,3,11,4,16,2,11,1,16,1,17,2,9,1,13,2,8,2,13,1,10,1,8,1,9,2,11,1,9,2,11,1,9,1,11,1,9,1,16,1,11,2,9,1,17,1,16,2,17,1,16,1,17,2,16,2,11,2,16,1,9,1,10,1,9,1,16,1,9,3,11,1,16,1,11,2,9,1,10,2,9,1,11,1,17,1,9,1,11,1,16,1,11,1,8,1,11,1,29,1,28,2,30,1,28,1,29,1,6,1,24,2,17,1,6,1,17,1,11,1,6,2,9,1,29,1,28,19,29,1,28,4,29,1,6,1,24,1,28,7,6,1,8,1,9,1,17,4,8,1,13,1,28,2,11,1,17,5,16,1,11,1,9,1,10,1,16,1,12,1,10,1,24,1,13,1,24,1,17,1,29,1,30,1,29,1,28,2,26,1,8,1,24,1,9,1,12,1,17,2,8,1,28,2,10,1,12,1,14,1,8,1,28,1,30,1,28,1,15,1,14,1,7,1,8,2,6,3,29,1,28,1,13,1,16,1,10,1,9,1,17,4,9,1,17,1,11,2,9,1,16,1,11,1,16,1,10,1,9,1,11,1,9,1,10,3,9,1,24,1,12,2,24,1,10,1,24,1,8,1,24,1,8,1,24,2,12,1,24,3,8,1,25,2,27,1,29,2,30,1,29,1,30,1,29,1,28,34,30,1,28,6,30,1,28,1,30,1,6,1,30,2,7,1,8,1,13,1,17,1,30,1,28,35,6,1,17,1,12,1,30,1,8,1,6,1,29,2,6,1,29,1,7,1,6,2,29,1,28,1,29,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,35,30,1,28,1,7,1,28,1,30,1,7,1,29,1,6,1,8,1,13,1,30,1,13,1,7,1,8,1,6,2,13,1,6,1,13,2,6,1,13,1,6,1,7,1,6,2,29,1,6,1,30,1,6,1,28,4,30,1,28,3,30,1,28,1,6,1,28,1,30,2,28,15,29,1,28,1,6,3,13,1,6,1,7,1,6,1,8,1,7,1,13,1,8,1,6,1,9,2,8,3,6,1,13,2,6,1,13,1,24,1,29,1,6,3,29,1,7,3,6,1,7,1,30,1,6,2,30,1,29,2,7,1,29,1,13,1,7,1,6,1,13,1,8,1,7,1,8,1,10,1,13,1,8,1,7,1,13,5,9,2,8,1,13,1,9,1,8,1,24,1,9,1,7,1,8,1,13,1,8,2,13,2,6,1,24,1,8,1,7,1,6,1,24,1,13,1,8,2,9,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,6,1,29,1,30,1,6,1,7,2,13,1,6,1,30,1,6,2,7,3,13,1,6,1,29,1,7,1,6,5,29,1,7,1,28,3,30,2,28,1,30,2,28,2,29,1,28,1,30,1,28,85,30,2,28,2,6,2,30,1,28,1,29,1,6,2,13,1,8,1,12,1,17,8,12,3,17,1,10,1,17,63,12,1,11,1,17,2,12,3,11,2,10,1,11,2,9,1,10,1,9,4,11,1,12,1,9,1,10,1,13,1,8,2,7,1,13,6,7,1,13,2,7,1,13,3,8,1,9,1,13,2,8,1,9,3,13,3,8,1,13,1,8,1,13,3,8,1,13,7,6,1,13,1,6,1,28,1,6,2,30,1,28,1,30,3,6,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,6,2,28,1,13,3,6,1,13,2,5,23,28,8,30,1,17,1,16,1,17,1,8,1,9,1,13,1,8,1,6,1,7,1,13,1,29,1,6,1,13,1,9,1,11,1,24,1,10,1,8,1,28,6,13,1,12,1,8,1,6,1,28,1,6,1,29,1,28,28,10,1,12,1,7,1,30,1,6,2,14,2,10,1,}, {7,1,9,1,13,1,7,1,24,1,6,2,28,7,30,1,29,1,28,6,30,1,28,2,29,1,30,2,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,7,30,1,29,2,8,2,10,1,8,1,17,2,10,1,8,1,13,2,6,1,29,1,13,1,11,1,17,1,12,1,8,1,13,1,9,1,10,1,9,1,8,1,6,4,11,1,14,1,12,1,13,2,9,1,13,1,8,1,9,1,17,1,11,1,10,1,7,1,13,1,8,1,7,1,24,1,8,1,12,1,17,2,9,1,7,1,24,1,13,1,24,1,9,1,24,1,28,12,30,1,28,12,7,1,8,1,13,2,7,1,12,1,8,1,13,1,28,2,30,1,29,1,28,1,6,1,30,1,8,1,9,1,10,3,8,2,13,1,8,1,13,1,6,1,30,1,6,1,8,1,24,1,13,1,12,1,9,1,17,1,24,1,29,1,28,13,30,1,9,1,17,1,10,1,9,1,17,1,9,2,11,3,17,1,9,2,11,1,16,1,11,1,9,2,16,1,11,1,9,1,11,1,10,1,9,4,13,1,11,1,9,1,13,1,8,1,13,1,9,3,10,1,11,1,8,1,16,1,9,1,10,1,11,1,9,1,10,1,9,2,16,2,9,1,13,2,6,2,29,1,30,4,28,5,30,1,29,1,28,1,13,2,8,2,24,1,9,1,12,1,24,2,12,1,7,1,29,1,13,1,30,1,6,1,29,1,30,1,28,2,30,2,28,76,30,1,28,24,30,3,28,1,29,1,28,1,7,1,6,1,7,1,29,1,6,2,30,1,29,1,6,1,28,71,30,1,28,4,30,1,29,1,28,1,29,1,28,2,30,1,28,1,29,1,28,3,6,1,30,1,29,1,7,1,8,1,6,1,8,1,6,3,8,2,6,1,24,1,9,1,13,1,24,3,12,1,7,1,12,1,24,1,9,1,13,1,10,1,17,1,24,1,12,2,17,1,12,3,17,1,9,1,17,1,11,1,17,1,12,3,17,2,12,3,17,6,10,1,17,1,12,1,17,3,16,1,17,3,9,3,16,1,9,2,11,1,9,4,8,1,16,2,9,1,16,3,9,1,16,1,17,1,16,1,11,3,9,1,11,1,16,1,13,1,9,1,11,1,13,1,9,1,16,1,9,1,13,1,11,1,8,1,9,1,8,1,9,1,13,1,9,1,11,1,13,1,11,1,9,2,13,1,8,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,13,2,9,1,6,1,13,1,9,1,13,2,9,1,13,1,6,2,13,3,6,1,13,2,6,1,13,2,6,2,9,1,6,1,13,2,6,1,13,1,8,1,13,1,6,1,8,1,30,1,8,1,13,2,9,3,8,1,9,1,8,2,11,1,13,1,6,1,28,71,30,1,6,2,13,2,8,3,13,1,8,1,24,1,10,1,17,2,12,1,17,1,10,1,9,1,30,1,29,1,28,24,30,1,28,27,30,1,29,1,28,2,30,2,6,2,13,1,8,1,6,1,24,2,13,1,8,2,10,1,24,2,8,1,9,2,8,2,9,1,24,1,8,2,24,1,9,1,13,1,28,1,33,131,5,310,9,1,13,3,8,1,7,1,6,3,7,2,13,1,6,1,8,1,10,1,13,1,12,1,17,3,12,1,17,18,10,3,9,1,8,1,10,1,13,1,9,2,24,1,9,1,24,1,9,1,8,1,17,2,10,1,12,1,17,46,12,1,17,1,11,1,17,4,12,2,9,1,10,1,11,1,10,2,12,1,17,1,9,1,10,3,8,1,10,1,8,1,9,1,11,1,9,1,17,6,24,1,9,1,10,1,9,1,24,1,12,1,8,1,9,3,24,2,8,1,10,1,11,1,17,13,8,1,29,1,6,1,13,3,8,1,9,1,17,3,16,1,17,8,16,2,11,1,17,1,11,1,17,3,16,2,17,3,16,2,17,3,16,2,17,3,16,1,17,1,16,2,11,2,9,1,11,1,9,2,16,1,9,2,13,2,11,1,9,1,11,1,16,1,11,1,9,5,8,1,13,1,9,1,13,1,9,1,8,2,9,2,8,1,9,2,11,1,9,1,13,1,11,1,16,1,10,1,16,1,11,2,16,1,17,2,11,1,17,1,16,1,11,3,16,1,11,2,9,3,11,3,10,1,9,1,11,5,9,1,11,1,16,1,11,1,9,2,17,3,12,1,28,5,6,2,12,1,17,1,28,1,17,1,11,1,29,1,6,1,9,1,6,1,28,4,29,1,28,15,30,1,28,4,6,1,17,1,28,7,8,1,17,2,10,1,13,2,17,1,16,1,8,1,17,4,16,1,11,1,9,1,11,1,17,2,16,1,11,1,16,1,9,1,8,1,6,2,13,1,17,2,7,1,28,1,6,1,30,1,28,1,13,1,7,1,28,1,11,2,17,1,9,1,28,2,12,1,15,1,14,1,13,1,6,1,28,1,29,1,8,1,14,1,24,1,28,1,30,2,28,2,30,1,13,1,16,2,10,1,11,1,17,2,9,1,12,1,11,1,16,1,11,1,10,1,12,1,11,1,16,1,17,1,10,1,11,1,17,1,9,1,17,1,24,1,10,1,12,2,9,1,12,1,17,1,24,1,10,1,8,1,12,1,24,2,8,1,10,1,25,1,24,1,25,2,29,1,26,1,28,1,30,1,28,49,29,1,30,2,29,1,13,1,7,1,9,1,6,1,28,34,30,1,13,1,8,1,13,1,7,1,13,1,29,2,7,1,29,1,30,1,29,1,6,1,29,1,7,1,6,1,30,2,28,2,30,1,6,1,28,1,30,1,29,1,6,1,30,1,6,1,28,2,30,1,28,10,30,1,28,6,30,1,28,15,30,1,28,1,29,1,7,2,30,1,13,1,6,1,7,1,6,1,7,1,6,1,13,4,9,1,7,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,7,1,6,2,30,1,7,1,6,1,29,1,28,2,6,1,28,2,30,1,28,1,30,1,6,1,29,1,28,1,29,1,28,15,29,2,6,1,13,1,30,1,6,1,8,1,7,1,8,1,13,1,8,4,9,1,10,1,13,3,9,1,24,1,13,1,6,2,13,1,6,2,7,1,13,1,6,1,13,1,29,1,13,1,7,1,6,1,7,1,6,1,30,1,6,2,13,1,7,1,13,1,6,1,30,1,13,1,8,2,24,1,8,1,13,5,9,2,8,1,9,2,12,1,9,1,13,1,8,2,13,1,9,1,13,1,24,1,8,1,13,1,7,1,13,1,8,1,13,1,8,2,12,1,8,1,13,1,8,1,13,1,7,1,9,1,6,1,10,1,13,2,8,1,7,1,6,1,13,1,8,1,24,1,7,1,13,1,6,2,7,2,6,3,7,1,6,2,7,1,6,1,13,1,30,2,6,1,30,1,29,1,30,1,29,1,28,1,30,1,6,1,28,3,6,1,28,2,29,1,30,4,28,1,30,1,28,6,30,1,28,52,30,1,28,19,30,1,28,3,30,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,1,10,1,12,1,17,2,12,2,17,3,11,1,17,1,12,1,17,1,12,1,17,27,12,2,11,1,17,34,11,1,17,1,11,1,17,1,10,1,11,2,17,1,9,1,11,1,9,2,11,1,9,1,13,5,8,1,13,4,6,1,7,1,13,1,7,1,13,3,6,1,7,1,13,2,7,2,9,1,8,1,13,3,6,1,7,1,13,8,6,1,7,1,30,1,13,4,7,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,30,1,13,1,30,2,28,1,30,3,29,1,30,1,28,1,30,1,6,1,30,2,7,1,6,1,7,1,28,1,13,1,28,1,13,1,28,1,13,1,6,1,5,23,28,8,6,1,11,1,14,1,9,1,8,1,24,1,8,2,13,1,6,1,7,1,13,1,7,1,24,2,9,2,17,1,13,1,28,6,13,1,9,1,13,1,29,1,30,3,28,27,13,1,11,1,10,1,13,2,6,1,8,1,12,1,24,1,9,1,}, {13,3,6,1,9,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,29,1,28,3,30,1,28,6,30,2,28,5,29,1,28,5,30,1,28,4,6,1,30,1,6,2,7,1,10,1,8,1,16,1,17,1,9,1,7,1,29,1,13,1,28,1,6,1,29,1,10,1,17,2,9,1,8,1,12,1,8,1,13,1,8,1,13,1,8,1,6,1,13,1,15,1,9,1,6,1,7,1,8,4,9,1,17,2,9,1,8,1,13,2,6,1,8,1,13,1,12,1,17,1,11,1,8,2,13,1,8,2,9,1,24,1,28,9,30,1,28,13,30,1,29,1,13,2,8,1,7,1,13,1,10,1,9,1,6,2,28,2,30,1,28,1,6,2,8,1,10,1,8,1,10,1,24,3,13,1,8,1,13,3,6,1,13,1,24,1,8,1,12,1,17,1,12,1,10,1,30,2,28,2,30,1,28,9,13,1,11,1,12,1,11,5,16,1,9,1,16,1,11,3,8,1,11,1,9,1,16,3,13,1,11,1,9,1,10,1,9,3,13,2,9,5,13,1,9,1,16,1,11,2,8,1,11,1,9,2,13,1,9,2,11,2,9,2,16,2,9,1,8,1,13,1,30,3,28,1,6,1,28,1,30,1,28,1,6,1,30,1,6,2,29,1,6,2,9,1,8,1,24,1,8,1,17,1,9,1,24,1,8,1,9,1,7,1,8,1,30,1,6,1,29,1,30,1,7,1,29,1,28,1,30,1,28,100,30,1,28,1,29,1,30,1,6,1,30,1,29,1,6,1,29,3,6,2,30,2,29,1,28,77,30,1,28,1,30,2,28,4,6,2,30,1,6,1,29,1,6,1,13,1,29,1,7,1,8,1,6,1,13,1,9,1,8,1,9,1,12,1,24,1,8,1,10,1,13,1,24,1,13,1,10,1,13,1,24,1,9,1,8,1,9,1,12,1,9,1,10,1,9,1,17,1,12,1,17,3,12,1,17,3,10,1,17,7,11,1,17,4,12,1,17,9,11,1,10,1,16,1,11,1,10,1,11,1,13,1,9,3,11,2,16,1,11,3,9,2,16,1,11,1,16,2,9,1,11,2,9,4,13,1,16,1,11,1,9,3,13,1,9,1,11,1,8,1,11,1,9,1,13,1,9,1,13,1,9,1,16,1,13,1,9,2,13,3,9,3,13,4,9,1,13,3,9,1,8,1,13,3,8,1,13,2,6,1,13,3,9,1,8,1,6,2,9,1,13,1,6,1,13,1,30,1,9,1,13,1,8,1,13,1,6,1,13,1,9,1,13,2,9,1,13,3,9,2,8,1,9,3,13,1,28,72,29,1,6,2,13,1,8,1,7,1,6,1,24,1,13,1,17,1,10,1,9,1,11,1,17,1,12,1,17,3,13,2,6,1,28,54,13,1,30,1,29,1,7,1,8,1,6,1,7,1,8,1,6,1,9,1,24,1,13,1,8,1,9,2,24,1,12,1,8,2,24,1,10,1,8,1,9,1,13,1,24,1,8,2,12,1,13,2,33,133,5,309,9,1,13,1,7,1,13,3,6,1,30,1,13,1,30,1,13,2,7,1,13,1,24,2,12,1,17,22,11,1,10,2,9,1,10,1,8,3,24,1,13,1,9,1,12,1,9,1,10,1,11,1,12,2,10,1,11,1,17,54,12,1,9,2,10,1,11,1,9,2,12,1,9,1,8,1,24,1,10,1,12,5,17,5,24,1,8,1,9,1,10,1,8,1,12,1,8,1,9,2,13,1,8,1,12,1,11,1,9,1,10,1,17,14,9,2,13,3,9,1,17,1,12,1,17,6,16,1,17,5,16,1,10,1,17,4,16,1,17,4,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,5,16,1,17,1,16,4,11,1,9,1,10,1,11,1,9,1,8,1,9,1,11,1,9,1,10,1,9,10,13,1,8,1,9,3,10,1,11,1,9,2,8,1,9,1,16,1,11,1,9,1,10,1,17,1,11,1,16,1,17,1,16,1,17,1,16,2,17,1,11,1,16,1,17,1,16,1,11,2,17,1,11,2,9,1,11,1,10,1,9,1,11,2,9,1,11,5,16,1,12,1,9,1,17,2,16,1,12,1,17,1,24,1,13,2,8,1,10,1,17,2,24,1,28,1,17,1,11,1,6,1,7,1,9,1,6,1,28,4,30,1,28,16,30,1,28,3,6,1,17,1,28,7,6,1,11,1,17,1,12,1,8,1,9,1,16,1,17,2,9,1,6,1,30,1,7,1,8,1,13,1,8,1,6,1,13,1,9,1,17,1,16,2,14,1,8,1,6,1,30,1,29,1,7,1,17,2,13,1,30,1,28,2,29,1,28,1,6,1,17,3,9,1,28,1,13,1,16,1,17,1,11,1,7,2,29,1,28,1,30,1,29,1,14,1,8,1,30,1,28,1,29,1,13,1,16,1,17,1,10,1,11,1,17,5,11,1,9,1,10,1,17,1,11,1,12,1,11,2,17,2,13,1,10,1,9,1,10,1,12,1,9,1,10,1,8,1,17,1,10,1,12,2,24,1,10,2,8,1,10,1,24,2,8,1,25,1,27,2,29,2,28,52,30,1,29,2,6,1,8,1,9,1,13,1,28,35,8,1,9,2,7,1,8,1,13,2,7,2,29,1,30,1,6,1,29,1,30,2,29,1,28,1,30,2,29,1,28,1,7,1,28,1,30,1,28,2,30,2,6,1,29,1,28,1,6,1,28,1,30,1,28,2,29,1,28,4,30,1,28,1,30,1,28,3,30,2,28,1,29,1,28,10,29,1,30,1,29,1,6,1,8,1,29,1,8,1,6,1,13,2,7,1,8,1,7,1,13,1,8,1,13,1,8,1,13,2,8,1,7,1,8,1,7,1,13,1,7,2,13,1,8,1,6,1,7,1,6,1,30,2,6,4,28,1,30,2,6,1,13,1,29,1,6,1,7,1,28,1,29,2,28,13,8,1,29,1,6,1,8,1,6,1,7,1,8,3,13,1,24,1,8,1,9,2,8,1,9,1,24,1,9,1,13,1,9,2,13,1,8,1,13,1,29,1,6,5,13,1,6,1,29,2,13,1,29,2,6,1,7,1,30,1,13,1,7,1,6,1,30,1,13,1,8,1,6,1,8,1,9,1,8,1,9,2,13,3,9,1,13,1,8,1,12,1,8,1,13,1,9,1,8,1,9,1,24,2,9,2,8,1,13,1,8,1,13,1,8,2,6,1,13,2,7,1,24,1,13,1,8,2,7,1,8,2,24,1,6,1,8,1,10,1,13,1,6,1,13,1,6,1,30,1,6,1,7,1,6,2,7,2,6,1,7,2,29,1,7,1,6,1,7,1,28,1,29,1,7,1,29,2,30,1,7,1,28,1,30,1,29,1,13,1,29,1,30,1,28,1,30,2,6,1,30,2,29,1,30,3,28,1,6,1,28,1,30,2,28,78,30,1,28,10,30,1,28,2,30,1,28,1,30,1,7,1,13,1,7,1,11,1,17,1,12,1,17,1,11,1,17,1,12,1,11,1,10,1,12,1,17,7,12,1,17,3,11,1,17,5,12,1,17,1,12,1,17,1,10,1,17,1,10,1,13,2,8,1,13,1,6,1,30,1,28,1,7,1,13,1,17,33,12,2,17,2,11,1,9,1,17,1,11,1,9,1,11,1,9,2,11,2,10,1,11,1,13,1,8,1,13,2,9,1,13,2,6,1,13,3,7,1,6,1,7,1,13,2,7,1,6,1,13,3,29,1,6,1,30,1,7,1,29,1,30,1,13,1,7,1,6,1,13,1,7,1,13,2,6,2,13,1,30,1,6,2,7,1,13,2,6,1,13,2,30,1,6,3,7,1,30,1,13,1,6,1,13,1,28,1,7,1,6,1,30,5,29,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,30,3,13,1,33,1,5,20,13,1,28,8,29,1,9,1,17,1,9,1,7,1,8,4,7,1,6,1,8,1,13,1,24,1,12,1,9,1,11,1,17,1,13,1,28,6,8,1,15,1,13,1,6,1,13,1,29,1,28,29,11,1,9,1,6,2,29,1,6,1,12,1,9,1,24,1,}, {8,1,13,1,6,1,8,1,13,2,28,1,29,1,28,4,7,1,29,1,30,1,28,12,6,1,28,15,30,2,6,2,8,1,6,1,9,1,13,1,11,1,17,2,9,1,13,1,6,1,30,1,29,1,6,1,17,3,13,1,24,1,10,2,8,1,29,1,6,1,7,1,13,1,7,1,15,1,17,1,9,1,8,1,9,1,8,2,13,1,17,3,9,1,24,1,13,4,6,1,17,2,12,1,8,5,10,1,13,1,28,24,7,1,29,1,13,1,7,1,8,1,13,1,24,1,9,1,6,1,30,1,28,2,30,3,13,1,7,1,15,1,10,1,9,1,24,1,8,1,13,1,7,1,13,2,6,1,7,1,13,1,29,1,8,1,24,1,8,1,10,2,24,1,28,5,30,1,28,3,30,1,28,4,8,1,12,1,11,1,17,1,10,1,11,1,17,1,16,1,9,1,10,1,11,1,9,1,16,2,11,2,17,1,10,1,11,1,9,1,11,2,9,4,8,2,13,1,9,3,13,1,9,1,11,1,9,1,8,1,13,1,9,2,8,1,9,3,11,1,8,1,9,1,11,1,16,1,9,1,13,1,17,1,11,1,9,1,7,2,13,1,28,1,30,3,7,1,28,1,6,1,29,2,6,1,7,1,13,1,8,1,7,1,13,1,24,1,10,1,12,1,10,2,9,1,12,1,24,1,8,1,24,1,7,1,6,1,28,1,29,1,30,1,6,1,28,1,29,1,28,75,30,1,28,11,30,1,28,10,30,1,28,2,30,1,28,2,6,1,30,1,6,1,30,1,6,2,7,1,30,1,29,1,30,1,29,1,30,1,28,67,30,2,28,1,30,1,28,1,30,2,28,2,29,1,28,3,6,1,30,2,28,1,7,1,28,1,30,1,29,1,6,3,8,2,6,1,8,1,6,1,13,4,8,1,24,1,8,2,24,1,8,1,9,1,10,2,24,1,9,1,24,1,8,1,9,1,10,1,9,1,10,1,11,1,12,2,17,1,12,1,17,3,12,1,17,6,12,1,17,3,12,2,17,1,12,2,17,3,12,1,16,3,10,2,11,1,13,1,11,1,13,1,11,1,13,1,11,1,9,1,11,1,10,1,11,1,16,1,11,2,16,1,11,2,16,2,9,2,11,2,9,1,16,1,9,1,16,1,9,1,11,1,9,2,16,1,13,1,8,1,16,1,9,1,11,2,9,1,16,1,9,1,11,2,13,1,8,1,9,2,13,2,8,1,13,2,9,1,13,1,8,1,9,1,8,1,13,2,8,3,9,1,13,2,8,1,13,2,8,1,13,2,8,1,6,1,13,1,30,1,13,2,6,1,8,1,13,2,6,1,13,2,6,1,9,1,13,3,9,1,13,2,9,2,13,1,8,1,16,1,9,1,6,1,9,1,13,1,28,9,30,1,28,51,30,1,28,6,30,1,28,3,30,1,6,1,7,1,8,1,7,2,8,1,24,1,8,1,24,1,8,1,12,1,17,3,11,1,10,1,17,1,11,1,9,1,13,1,30,1,28,56,29,1,30,1,13,2,6,1,24,1,13,1,24,1,8,2,9,1,13,1,8,1,24,1,10,1,24,3,13,1,24,1,10,1,13,1,9,3,8,1,7,1,13,1,33,134,5,308,9,1,13,1,8,1,13,1,8,1,6,1,13,1,30,2,6,1,7,1,8,1,13,2,24,1,13,1,11,1,17,22,12,1,10,1,13,1,9,1,10,1,8,1,13,1,8,1,13,1,9,4,10,2,11,1,10,1,17,1,12,1,11,1,12,1,17,50,11,1,9,1,11,1,17,1,10,1,11,2,12,1,9,1,8,1,9,1,10,1,9,1,11,1,24,1,17,3,12,1,17,5,8,1,24,1,8,1,12,1,24,1,9,1,10,1,8,2,24,1,9,1,10,1,12,1,11,1,12,1,17,15,11,1,12,1,9,2,10,1,11,1,12,1,17,6,16,1,17,2,16,1,17,5,11,1,16,1,11,1,17,4,16,3,17,8,16,1,17,2,16,1,17,1,16,3,10,2,16,1,11,3,9,1,8,1,9,2,11,1,10,1,9,3,11,1,9,5,8,1,9,1,13,1,8,2,9,1,13,1,9,1,13,1,9,4,16,1,9,2,16,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,16,1,11,3,16,2,11,2,17,1,11,2,9,3,11,2,9,2,11,1,9,1,10,1,11,4,17,3,6,1,8,1,10,1,17,2,24,1,9,1,8,1,13,1,7,1,9,1,17,2,6,1,13,2,8,1,28,6,30,1,28,3,6,1,30,1,28,14,12,1,28,7,29,1,8,1,14,1,17,1,9,3,28,3,6,2,13,1,8,4,9,1,6,1,24,1,15,1,17,1,16,1,15,1,6,1,29,1,6,1,29,1,6,1,14,1,15,2,24,1,8,1,24,1,15,2,17,1,11,1,17,2,28,1,13,1,11,1,17,2,13,1,6,1,29,1,30,3,29,1,9,1,16,1,17,2,11,1,9,1,8,1,16,1,17,4,11,3,13,1,10,1,16,1,9,2,11,1,9,3,17,1,10,1,11,1,12,1,9,1,12,2,17,1,10,2,12,1,10,2,24,4,25,1,8,1,25,1,26,1,25,1,30,1,29,1,30,1,28,52,30,1,28,1,29,1,6,2,13,1,17,1,28,34,30,1,11,1,24,1,8,2,6,1,13,1,7,1,6,2,29,1,6,1,29,1,6,1,7,2,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,1,29,1,6,1,28,1,29,1,6,1,28,2,29,1,28,10,30,1,28,5,30,1,28,9,30,1,28,2,29,1,30,3,7,1,6,1,13,1,7,1,24,1,13,1,9,1,24,1,8,1,13,1,8,2,13,1,8,1,9,1,8,2,9,1,13,2,7,1,6,1,7,1,13,2,29,2,8,1,30,1,13,1,7,1,29,1,30,1,29,1,6,1,29,1,6,1,13,2,6,2,13,1,6,1,30,1,28,10,6,1,29,1,6,2,13,4,24,1,13,1,9,1,11,1,24,1,9,2,10,1,9,1,13,1,9,1,13,1,24,1,8,2,24,1,6,1,7,1,6,4,7,1,30,2,7,2,30,1,7,1,29,1,6,2,13,1,30,1,6,1,13,1,6,1,8,1,6,1,13,1,24,1,8,1,24,1,13,2,8,1,13,4,8,1,9,1,10,2,9,2,13,2,9,1,13,1,8,1,9,1,13,1,6,1,13,1,7,1,24,1,13,1,6,1,13,2,8,1,6,1,13,1,6,1,7,1,6,1,8,1,13,1,6,1,8,1,6,1,13,1,6,2,13,2,7,1,29,2,7,1,6,1,29,1,13,1,29,1,30,1,8,1,30,1,6,1,13,1,6,1,8,1,6,1,13,1,29,1,8,1,6,3,29,1,6,1,28,1,30,1,6,3,28,1,6,1,30,1,6,1,28,1,29,1,28,1,6,1,30,2,28,3,29,1,30,2,28,8,30,1,28,67,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,29,2,28,1,30,2,28,1,6,2,7,1,8,1,13,1,9,2,12,2,9,1,12,2,17,9,12,1,17,1,9,1,17,1,11,1,17,2,11,1,9,1,7,1,6,1,28,1,30,1,28,1,6,1,13,1,28,4,30,1,6,1,29,1,13,1,12,1,17,33,11,2,17,2,11,1,12,1,9,1,12,1,9,2,8,1,9,1,13,1,9,1,13,2,7,1,13,1,6,1,13,1,7,1,13,1,7,2,13,1,30,1,7,1,13,1,30,2,6,2,30,1,13,1,30,1,6,1,29,1,6,2,29,1,13,1,6,1,13,2,30,1,6,4,30,1,13,1,7,1,6,1,7,2,13,3,7,1,6,1,13,1,7,1,6,2,30,1,6,1,30,7,28,1,6,1,28,1,29,1,7,1,30,1,6,1,7,3,6,1,28,1,6,1,28,1,13,1,28,1,5,20,6,1,28,8,30,1,9,1,17,1,12,1,6,1,9,1,13,2,6,1,13,1,6,2,13,1,8,1,9,1,11,1,12,2,7,1,28,5,30,1,8,1,13,2,7,1,29,1,6,1,13,1,28,28,14,1,11,1,6,1,7,1,13,2,24,1,10,1,9,1,}, {6,1,13,1,7,1,6,1,14,1,8,1,29,1,28,7,30,1,28,8,30,1,28,5,29,1,28,15,7,1,6,1,13,1,7,1,8,1,29,1,9,1,17,2,6,1,13,3,30,2,9,1,17,2,9,1,8,1,24,1,9,1,13,1,7,1,8,1,13,1,7,1,6,1,10,1,16,1,15,1,8,1,6,1,13,3,17,3,9,3,8,4,9,1,17,2,12,1,13,1,6,1,24,1,9,1,24,1,13,1,28,24,7,1,30,1,13,4,9,1,24,1,13,1,29,2,28,1,6,1,29,1,28,1,6,1,9,1,15,1,24,1,12,2,13,1,30,1,7,1,13,1,7,1,6,1,7,1,6,2,7,1,8,1,24,1,10,2,13,1,6,1,28,1,30,1,28,11,9,1,11,2,17,2,16,1,11,1,16,1,9,3,11,3,17,1,9,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,9,2,10,4,9,1,8,1,13,1,9,1,13,2,9,2,11,1,8,1,11,1,9,1,17,1,9,3,13,1,16,1,9,1,11,1,9,1,11,1,16,1,11,1,9,1,6,1,13,1,6,1,13,2,30,1,6,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,7,1,13,2,8,4,17,1,12,1,10,2,11,2,9,2,8,1,9,1,30,1,28,1,7,1,30,1,28,1,30,1,28,65,29,1,28,15,30,1,28,4,30,1,28,3,30,1,28,3,29,1,28,1,29,2,30,1,28,1,30,2,29,3,6,5,7,1,30,1,6,1,28,1,13,1,28,62,30,1,28,9,30,1,28,1,30,2,29,1,28,1,29,1,28,1,30,1,6,1,28,1,29,1,28,2,29,1,30,1,6,1,29,1,6,2,8,1,6,1,13,3,8,1,24,1,8,2,24,1,9,1,13,1,24,1,12,1,29,1,9,2,13,1,24,2,8,2,17,1,9,1,17,3,9,1,17,1,10,2,12,1,11,1,10,1,17,1,12,1,17,1,12,1,17,4,9,1,17,1,10,2,17,5,12,2,9,1,17,2,16,1,9,4,8,2,11,1,9,2,16,1,9,1,11,1,16,1,11,3,16,1,9,2,16,2,11,1,10,1,11,1,9,1,16,1,9,1,16,1,9,1,16,1,13,1,16,1,9,1,13,1,9,1,11,2,16,1,13,1,8,1,16,1,9,1,11,1,13,1,11,1,13,1,11,1,9,1,13,1,9,2,11,1,13,1,8,3,13,3,9,3,13,1,8,1,13,1,8,1,11,1,13,1,6,1,13,1,29,1,11,1,6,1,13,1,9,1,13,3,6,1,13,3,6,1,13,5,9,2,13,1,6,1,8,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,6,1,28,71,30,1,7,1,30,1,6,1,13,1,6,1,8,2,24,1,8,2,10,2,11,1,10,1,17,1,9,1,11,1,9,1,16,1,11,1,9,1,13,1,28,54,29,1,30,1,13,1,6,2,13,1,8,1,13,1,7,1,8,2,13,1,9,1,24,3,11,1,8,1,12,1,8,1,24,1,9,1,24,2,9,1,13,1,9,1,24,1,9,1,13,2,33,136,5,307,13,4,8,1,6,1,13,2,6,1,7,1,13,1,7,2,8,1,9,1,10,1,12,1,17,22,10,1,11,1,9,1,8,1,12,1,24,1,8,1,7,1,8,2,24,1,9,1,24,1,9,1,12,1,9,1,10,1,11,1,17,1,12,1,17,47,11,2,10,1,12,2,10,1,11,2,9,1,17,1,9,1,24,1,10,1,9,2,12,1,9,1,17,10,9,1,24,2,8,1,9,2,24,1,8,1,9,2,8,1,10,1,12,1,9,1,10,1,12,1,17,15,12,1,17,2,12,2,11,2,17,10,11,1,17,2,11,1,17,1,11,2,17,3,16,2,17,5,16,1,17,1,16,1,17,3,16,1,17,3,16,4,11,2,10,1,9,1,11,2,9,1,16,1,11,1,8,1,9,3,8,1,11,1,9,5,11,1,9,1,13,1,9,7,10,1,9,1,16,1,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,5,17,2,16,1,11,1,17,2,10,2,11,2,9,2,11,3,9,2,11,4,16,1,17,1,16,1,12,1,9,1,8,1,17,1,11,1,24,1,13,1,7,1,13,1,8,1,13,1,8,1,10,1,17,2,24,1,13,2,12,1,28,10,29,1,30,1,28,6,30,1,6,1,29,1,30,1,28,4,17,1,7,1,28,7,8,1,9,1,8,2,11,1,28,4,7,1,13,1,8,1,11,1,17,1,16,1,13,2,8,1,6,2,14,2,17,1,13,1,30,1,6,1,29,1,6,2,9,1,14,6,10,1,7,1,9,1,11,1,9,1,13,2,9,1,17,2,13,1,28,1,30,1,29,1,6,1,29,1,6,1,7,1,11,1,16,2,17,6,16,1,9,1,8,1,17,1,12,1,17,1,9,2,11,1,12,2,11,1,16,1,11,2,9,1,12,1,9,1,17,1,10,2,17,1,10,1,17,1,10,1,9,1,10,1,24,1,13,1,24,1,29,1,6,1,29,1,30,2,28,4,30,1,28,52,7,1,28,1,30,1,8,1,9,1,7,1,28,33,30,1,8,1,13,1,8,2,13,1,8,1,13,1,7,1,6,1,8,1,7,1,29,1,13,1,6,1,30,2,7,1,6,1,28,1,29,1,30,1,28,1,30,1,28,2,6,1,28,1,6,1,30,1,28,2,6,2,28,4,30,1,28,1,30,1,28,14,30,1,29,1,28,5,30,1,28,1,7,1,6,1,24,1,13,1,8,1,7,1,13,1,8,2,9,1,13,1,9,2,8,1,24,1,13,1,8,1,9,1,24,1,13,2,8,2,13,3,6,1,7,1,29,1,13,1,6,1,30,1,6,1,29,1,7,1,6,2,8,1,30,1,7,1,8,1,7,1,13,3,6,2,29,1,28,10,6,1,13,3,8,1,13,1,8,1,13,1,9,1,10,1,13,1,9,2,8,1,10,1,13,1,9,2,8,2,24,1,8,2,24,1,13,1,8,1,7,1,6,1,29,1,28,1,7,1,13,1,7,1,13,1,6,3,29,1,6,3,8,1,6,1,13,1,8,3,24,1,8,3,9,1,8,1,13,1,8,1,9,1,8,1,11,1,13,1,9,2,13,1,9,1,8,1,9,1,8,1,13,1,9,2,10,1,13,2,8,1,6,1,8,2,13,2,7,4,9,1,13,1,7,1,13,1,6,1,13,2,6,1,8,1,13,1,6,3,13,2,6,1,13,1,7,1,29,1,6,1,13,1,6,1,7,1,13,1,6,1,8,1,6,1,30,1,13,1,6,1,29,1,6,2,30,1,6,2,29,1,30,1,6,1,30,1,13,1,29,1,7,1,30,1,29,1,28,1,13,1,30,2,28,1,30,1,28,1,6,1,30,1,29,1,28,2,30,1,29,1,28,1,29,1,28,8,30,1,28,61,30,1,28,13,30,1,28,1,6,1,29,1,6,1,7,1,30,3,29,1,6,1,30,1,29,1,6,1,7,1,6,1,13,1,8,2,9,4,10,1,11,1,8,1,13,1,8,1,13,1,9,1,24,1,9,2,6,2,8,1,13,1,28,5,6,1,28,2,30,1,29,1,30,2,28,1,30,1,6,1,13,2,12,1,17,31,10,1,11,1,17,1,12,1,17,1,11,2,9,5,13,3,7,1,6,1,13,1,30,1,13,1,28,1,30,2,7,1,6,1,30,1,6,1,30,1,6,1,29,1,28,1,13,1,7,1,13,3,30,1,7,2,30,1,7,1,6,1,13,1,6,1,13,1,7,1,13,1,7,1,6,3,13,1,6,2,30,1,7,1,6,2,13,1,6,2,13,2,6,2,13,1,29,1,6,1,29,1,13,1,6,1,13,1,30,1,28,2,6,1,30,2,6,2,7,1,30,1,13,1,6,1,13,2,6,1,30,1,6,1,5,20,13,1,28,8,6,1,11,1,17,1,10,1,8,1,6,1,8,2,13,1,7,1,9,1,13,1,8,1,24,1,9,1,17,1,12,1,11,1,7,1,28,6,10,1,11,1,7,1,28,1,6,1,30,1,6,1,28,27,6,1,9,2,6,1,29,1,6,1,8,1,24,1,10,1,24,1,}, {7,1,9,1,13,1,7,1,12,1,9,1,30,1,28,6,30,1,29,1,28,8,30,1,28,1,29,1,28,1,30,2,13,1,28,2,29,1,28,9,30,1,7,1,13,1,6,1,8,2,7,1,13,2,16,1,17,2,13,1,6,1,7,1,6,2,28,1,9,1,17,1,9,1,13,1,8,1,9,1,8,1,9,1,6,1,13,2,8,1,6,1,14,2,10,1,8,1,13,1,9,1,13,2,24,1,16,2,10,2,9,1,8,1,13,1,8,2,10,1,17,2,10,1,8,1,6,2,13,1,12,1,13,1,29,1,28,6,29,1,28,17,30,1,13,2,8,2,7,1,13,1,9,1,30,1,6,1,29,2,7,1,29,1,6,1,24,1,9,1,15,2,11,1,13,1,6,2,29,1,6,1,7,1,29,1,6,3,8,3,12,1,8,1,30,1,28,3,30,1,28,1,30,1,28,7,6,1,10,1,17,1,9,1,16,1,17,1,11,1,9,1,11,1,9,1,11,3,9,3,11,1,13,1,11,1,9,1,11,2,9,1,16,1,11,1,9,1,8,1,9,1,13,1,8,1,13,2,9,1,13,1,9,1,13,1,9,2,16,1,17,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,10,1,11,1,9,1,16,1,12,1,13,1,28,3,6,1,30,1,6,1,8,1,7,1,6,1,13,1,30,1,6,1,8,2,24,1,8,1,10,2,9,1,12,4,17,1,10,1,8,1,10,1,7,1,13,1,30,1,7,1,28,91,30,1,29,1,7,1,30,3,28,4,6,1,28,2,6,1,30,1,6,1,29,1,6,2,28,1,8,1,6,1,30,1,7,1,30,1,29,1,7,1,29,1,28,60,30,1,28,4,30,1,28,2,30,1,7,1,28,1,30,1,28,3,29,1,28,2,30,1,27,1,29,1,6,1,28,1,29,1,28,1,7,1,6,1,7,1,6,3,7,1,8,1,13,1,24,2,13,1,9,1,8,2,24,1,7,1,8,1,9,1,8,2,24,2,9,2,11,1,9,1,8,1,9,1,24,1,17,4,11,1,12,3,10,1,12,1,10,1,17,3,12,1,17,2,12,1,17,4,12,1,17,1,10,1,12,1,17,1,12,1,17,1,9,1,17,1,11,1,17,1,16,1,9,3,13,2,11,1,13,1,8,1,9,2,11,2,13,1,11,1,9,1,11,1,8,1,11,2,16,1,11,2,9,1,16,1,13,1,9,3,16,1,11,1,16,1,9,3,16,1,11,1,9,4,13,1,9,8,16,1,13,1,11,1,8,1,9,3,13,4,9,1,13,1,9,1,13,3,9,3,13,2,9,1,13,6,6,1,9,1,6,1,13,1,6,2,13,3,6,1,13,3,9,1,13,2,9,1,11,1,13,1,9,1,13,2,28,71,6,1,28,1,6,1,29,1,8,1,13,1,24,1,8,4,24,1,8,1,11,1,12,1,17,1,10,2,17,1,12,1,17,2,10,1,30,1,28,55,30,2,13,1,7,1,13,1,7,1,13,2,8,1,13,1,8,1,13,1,8,1,9,1,24,1,9,1,10,1,9,1,8,2,24,1,10,1,24,2,9,2,12,1,13,1,9,1,33,1,5,1,33,137,5,306,6,1,7,1,29,1,13,1,8,1,13,2,30,1,7,1,29,1,13,1,8,1,9,1,8,2,12,1,17,22,11,1,12,1,9,1,11,1,9,1,8,2,6,1,8,1,13,1,8,1,9,1,24,1,9,1,10,1,12,1,11,2,17,2,12,1,17,48,12,1,17,2,12,2,17,1,11,1,10,1,11,1,8,1,9,1,7,1,8,1,11,1,10,1,12,1,10,1,17,8,8,2,24,1,10,2,9,3,8,1,10,1,9,2,17,1,9,1,12,2,17,18,11,1,17,1,12,1,17,5,11,1,17,6,11,1,17,2,11,1,17,2,10,1,17,7,11,1,17,4,16,1,17,4,11,1,17,2,16,2,11,4,9,1,11,1,9,2,17,1,10,1,16,1,9,5,13,1,10,1,9,2,10,1,9,4,13,2,9,1,16,1,10,1,9,1,11,1,9,1,8,1,10,1,11,2,16,3,11,2,10,1,17,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,10,1,16,1,9,1,10,1,11,1,10,1,11,1,9,1,11,2,9,1,11,1,9,2,11,2,16,1,11,2,9,1,13,1,10,1,15,1,8,2,24,1,7,1,8,1,24,2,8,1,12,1,17,2,10,1,13,2,24,1,28,10,30,1,29,2,28,4,30,2,28,1,7,1,30,1,28,3,29,1,6,1,8,1,28,7,6,1,8,1,6,1,17,1,28,4,13,1,12,1,8,1,11,1,17,5,12,1,9,1,8,1,6,1,14,1,17,2,12,1,7,1,30,1,29,1,6,1,13,1,30,1,8,1,9,1,6,1,24,1,8,1,24,1,13,1,9,1,13,1,10,1,17,1,9,1,13,1,16,1,17,2,13,1,28,1,30,1,28,2,30,1,8,1,9,2,17,2,16,1,17,3,10,1,17,1,9,1,11,3,9,3,12,1,8,1,9,2,17,1,11,1,16,1,11,1,17,2,12,1,17,2,10,2,12,2,24,1,8,2,6,1,26,1,30,2,29,1,28,1,30,2,28,54,30,2,28,2,30,1,6,1,9,2,28,19,30,1,28,14,9,2,8,1,13,2,8,1,13,1,8,1,13,2,29,1,6,1,13,1,7,1,29,1,6,4,28,1,30,1,29,1,13,1,28,1,6,1,28,1,30,3,6,1,28,1,6,2,13,1,29,1,28,9,30,1,28,2,30,3,28,1,30,1,28,4,30,1,28,1,30,2,6,2,30,1,8,1,7,1,6,1,13,2,8,1,24,1,13,1,8,1,9,2,8,1,13,1,9,2,10,1,8,2,13,1,9,1,8,1,13,2,6,3,13,1,6,2,7,1,6,2,7,1,30,1,7,1,6,1,29,1,7,2,6,1,13,1,7,1,13,2,8,1,13,2,29,1,30,3,28,1,29,1,28,2,30,1,29,2,13,1,24,1,13,1,9,1,8,1,13,2,12,1,9,1,8,1,9,2,8,1,24,1,17,1,8,2,9,1,8,1,9,1,10,1,9,1,24,1,13,1,9,1,8,1,24,1,13,2,8,1,7,1,6,1,30,1,6,2,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,2,8,1,7,1,24,1,10,1,24,1,9,1,24,1,9,1,13,1,24,1,9,1,8,1,9,1,11,1,9,2,12,1,8,1,13,1,8,1,10,2,8,2,13,2,8,3,6,1,9,1,13,1,8,1,7,1,13,3,8,1,13,1,7,1,13,2,8,1,13,1,8,2,13,1,6,1,7,1,13,1,6,3,29,1,6,2,7,1,13,2,6,1,8,1,6,4,7,1,13,2,29,1,6,1,30,1,29,3,28,1,30,1,6,1,29,1,7,1,30,1,28,1,30,1,6,1,28,1,6,1,28,1,6,1,30,1,7,1,28,1,29,1,30,2,29,4,28,2,29,1,30,1,28,7,30,1,28,76,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,6,2,29,1,7,1,6,1,28,1,6,1,7,1,13,1,28,1,13,1,7,1,6,1,29,1,6,1,7,1,30,1,7,1,6,1,30,2,28,1,30,1,28,4,6,1,30,1,28,8,6,1,7,1,8,1,13,1,10,1,11,1,17,7,12,2,17,1,11,1,17,19,9,1,11,3,9,2,8,2,9,1,8,2,6,1,13,1,6,2,7,1,30,1,13,1,6,1,7,2,6,2,29,1,6,1,30,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,30,1,13,4,30,1,13,8,9,1,13,2,6,1,13,1,6,1,7,1,30,1,7,1,30,3,29,1,13,1,6,1,7,1,6,2,30,1,13,1,29,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,30,2,6,1,30,3,28,1,30,1,5,19,30,1,28,9,11,1,14,1,10,1,8,1,6,1,29,1,8,2,13,2,8,1,6,1,9,1,17,1,11,1,17,1,12,1,7,1,28,6,9,1,8,1,13,1,6,1,28,1,30,2,28,27,6,1,12,2,6,2,29,1,7,1,12,1,15,1,24,1,}, {9,1,24,1,13,2,9,1,24,1,30,1,28,4,29,1,28,11,29,1,28,2,30,1,28,1,30,1,7,1,30,1,28,11,30,2,6,2,13,5,12,1,17,2,7,1,13,1,7,1,13,1,6,2,8,1,17,1,9,1,13,1,8,1,9,1,8,2,13,1,8,1,13,2,8,1,12,1,14,1,16,1,13,1,7,1,8,2,13,1,9,1,17,1,16,1,9,2,13,1,8,1,9,1,8,2,10,1,14,1,17,1,9,1,13,1,7,1,8,2,9,1,13,1,30,1,28,2,6,1,28,3,6,1,28,6,30,1,28,8,30,2,6,1,13,2,6,1,8,1,24,1,15,1,13,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,13,1,12,1,15,1,14,1,12,1,9,1,7,1,30,1,29,1,6,2,13,1,30,1,7,1,6,1,13,1,24,3,8,1,28,1,30,1,28,3,30,1,28,1,30,1,28,6,13,1,10,1,17,1,12,2,16,1,11,2,10,1,16,1,11,2,9,1,11,1,16,1,9,3,16,1,9,2,17,1,11,2,9,1,11,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,9,2,13,1,10,1,17,1,9,1,11,2,9,2,11,1,8,1,10,2,9,1,11,1,9,3,16,1,12,1,17,1,8,1,28,1,29,1,6,1,7,1,13,1,6,3,7,2,29,1,13,1,24,1,8,1,24,2,10,1,12,1,9,1,12,3,17,1,11,1,17,1,16,1,10,1,9,1,30,1,6,1,28,88,6,1,28,3,30,1,29,2,28,1,30,1,28,4,29,1,28,2,7,1,28,1,29,3,7,2,6,2,29,2,28,1,6,2,28,54,30,1,28,11,29,1,28,1,29,1,30,1,28,1,30,1,28,1,30,3,29,1,28,1,29,1,27,1,29,1,27,1,28,2,29,1,28,1,6,1,29,2,7,2,6,1,7,1,8,1,13,1,6,1,8,1,9,1,29,1,8,2,24,4,13,2,10,1,8,1,24,1,9,1,13,1,12,1,9,1,17,1,9,1,17,1,12,1,17,3,12,1,17,1,12,1,17,1,24,1,17,1,10,1,17,1,12,1,10,1,17,2,11,1,12,1,17,2,12,1,17,2,12,1,17,1,11,1,17,1,12,1,10,1,11,1,17,1,16,1,11,1,9,1,11,1,8,1,16,1,9,1,11,1,9,5,11,1,9,1,17,1,9,1,16,2,9,1,16,1,9,6,11,1,9,2,11,1,13,1,9,1,11,2,9,3,11,1,10,1,8,1,11,1,9,1,16,1,9,2,13,1,9,4,8,1,9,7,8,2,13,1,9,1,13,2,9,2,6,1,9,1,13,1,9,3,13,8,6,1,13,2,30,1,9,1,30,1,13,4,9,1,13,1,8,1,13,3,9,3,29,1,28,70,29,1,28,2,29,1,6,1,7,1,13,1,6,1,13,1,24,2,8,1,10,1,24,2,10,1,11,3,12,2,11,1,16,1,9,1,13,1,30,2,28,54,30,1,29,1,13,1,7,1,13,2,8,2,24,2,13,2,24,1,9,2,11,1,9,1,24,1,8,2,11,1,13,1,24,1,10,2,12,1,13,1,8,1,13,1,5,2,33,138,5,305,9,1,13,7,7,1,13,1,7,1,13,1,8,3,9,1,12,1,17,22,12,1,9,3,24,1,8,1,24,1,8,1,13,1,9,1,8,1,10,1,11,1,13,1,10,2,11,1,12,2,11,1,17,46,10,1,17,1,10,1,11,1,17,1,11,2,12,1,11,2,9,1,10,1,9,1,24,1,9,2,11,1,17,2,12,1,17,7,12,1,8,1,24,2,11,1,12,1,24,1,8,1,9,4,10,1,24,1,12,2,17,17,12,1,17,2,12,1,17,2,12,1,11,1,17,4,12,1,17,18,16,1,17,1,16,3,17,2,16,3,17,1,16,1,17,1,16,1,11,1,17,1,11,1,10,1,11,1,9,2,16,3,11,1,10,1,13,1,9,3,13,1,9,3,13,1,11,2,9,2,13,1,9,2,13,1,9,5,16,1,11,2,16,2,11,2,10,1,11,4,16,1,11,1,17,1,16,1,10,1,11,2,9,1,10,2,9,1,11,1,9,3,11,1,9,1,11,2,10,1,11,1,9,2,16,1,17,1,9,2,15,1,13,2,24,1,8,2,13,1,8,1,13,1,8,1,12,1,9,1,12,1,17,1,8,1,29,1,6,1,29,1,28,8,30,1,28,1,29,1,28,4,6,1,30,1,28,9,13,1,28,8,29,1,13,2,28,1,30,1,13,2,8,1,28,2,8,2,6,1,29,1,13,1,10,1,14,2,16,1,7,1,9,1,17,4,12,1,8,1,13,1,8,1,24,1,13,1,15,1,24,1,9,1,15,1,9,1,13,1,9,1,8,1,13,1,12,1,17,1,8,1,16,1,17,4,13,1,30,1,6,1,9,1,16,1,9,1,16,1,17,2,11,2,12,1,11,2,9,1,11,1,16,1,17,2,12,1,8,1,17,1,13,1,9,1,11,2,10,1,16,1,17,2,10,1,17,3,12,2,24,1,12,1,24,1,7,1,8,1,13,1,30,1,29,3,27,1,28,60,30,1,28,1,30,1,13,1,9,1,28,34,9,2,13,1,24,1,13,1,24,1,8,1,13,1,24,1,13,1,6,1,7,1,8,1,6,2,7,2,6,3,30,1,6,4,7,1,30,1,7,1,6,1,30,1,6,2,7,1,6,1,28,1,29,1,28,1,30,1,6,1,30,2,6,1,30,1,28,1,30,6,28,2,30,1,29,1,30,2,6,1,29,1,28,1,7,3,6,2,8,1,13,1,7,1,13,2,11,1,9,1,10,1,9,1,8,1,9,1,13,1,10,1,9,1,8,1,10,1,8,1,10,1,9,1,12,1,8,1,13,3,6,1,13,1,29,1,7,2,8,1,29,1,6,1,13,1,30,1,7,1,8,2,7,1,13,1,8,2,13,1,8,2,13,1,9,1,6,1,13,2,6,1,28,1,30,1,7,1,30,1,29,1,6,2,13,4,24,1,8,1,9,1,10,2,6,1,12,1,9,1,24,1,9,1,24,1,12,1,10,2,11,1,8,1,9,1,8,1,24,1,13,1,9,1,8,1,7,1,13,1,8,1,6,1,13,1,29,1,13,3,6,1,13,4,6,1,11,1,9,1,13,1,24,2,9,1,8,2,9,2,8,2,13,1,9,1,8,1,12,1,10,1,9,1,10,1,8,3,10,1,8,1,24,1,8,1,10,1,9,1,8,2,30,1,9,1,6,1,8,1,13,2,30,1,13,3,30,1,8,2,13,1,7,1,13,1,8,1,13,1,8,1,7,1,8,1,13,2,6,1,13,1,29,1,7,1,6,1,30,1,13,1,8,2,13,1,30,1,13,1,6,1,10,1,6,1,30,1,7,1,6,1,28,1,7,1,6,1,30,1,6,1,13,2,29,1,30,1,7,1,29,2,8,1,6,1,13,1,6,1,7,1,30,1,6,1,28,1,6,1,29,1,6,1,28,1,29,1,6,1,28,1,7,1,30,1,6,1,29,1,28,1,29,1,28,1,6,1,29,1,28,1,6,1,28,1,30,1,28,2,30,1,28,3,6,1,30,1,28,71,30,2,29,1,28,2,30,1,28,2,30,1,28,3,30,3,13,1,30,1,6,3,29,1,7,1,29,1,6,1,29,1,6,1,7,1,8,1,13,1,8,1,6,1,29,1,28,6,29,1,6,1,28,7,6,1,7,2,13,2,8,2,9,1,17,1,12,1,24,1,13,1,6,1,30,1,7,1,30,1,6,2,28,1,6,1,8,1,9,1,17,12,12,1,11,1,17,1,12,1,11,1,10,1,9,2,8,1,13,7,30,1,6,1,7,1,6,1,30,1,13,1,30,1,28,1,6,1,13,1,6,1,13,2,7,1,13,2,6,1,7,1,13,1,6,1,13,3,8,1,9,5,8,1,13,2,9,2,13,1,10,1,9,1,8,2,9,2,13,2,8,2,9,1,13,2,7,1,13,2,7,1,28,1,6,1,13,1,29,1,7,1,6,1,29,1,13,1,30,1,13,2,6,1,7,1,6,1,7,1,6,5,7,1,30,3,5,18,28,9,6,1,9,1,14,1,12,1,6,1,8,1,13,1,8,2,9,1,8,1,13,2,9,1,12,2,17,1,12,1,13,1,28,5,30,1,13,1,8,1,6,1,28,2,29,1,28,28,13,1,17,1,13,1,8,1,7,1,6,1,8,1,15,1,10,1,24,1,}, {8,1,9,1,24,1,13,1,9,1,13,1,30,1,28,4,30,1,28,1,29,1,28,1,29,1,28,10,30,1,28,1,30,1,28,2,30,2,28,9,6,1,29,3,13,1,8,1,13,1,6,1,8,1,17,3,8,1,29,1,13,1,6,3,8,1,17,2,13,1,7,1,13,1,9,1,6,1,13,2,30,1,13,2,12,1,17,1,12,1,8,4,24,1,12,1,17,1,9,1,11,1,9,2,7,1,9,1,6,1,8,1,9,1,17,2,10,1,9,1,13,1,8,1,7,1,9,1,6,2,30,1,28,2,30,1,28,19,30,1,7,1,13,1,7,1,6,2,24,1,12,1,13,1,29,1,30,1,6,1,29,2,6,1,7,1,24,1,12,1,15,1,14,1,10,2,13,1,7,1,6,1,13,1,6,1,13,1,29,1,6,1,7,1,6,1,8,2,24,1,13,1,6,1,29,1,28,2,30,3,28,7,30,1,9,1,17,2,16,1,11,1,16,2,9,1,11,4,10,1,16,1,9,1,13,1,8,1,10,1,9,1,11,2,16,1,9,5,13,1,8,1,13,3,8,1,13,1,9,1,11,1,13,1,9,2,11,1,9,1,10,1,9,1,11,1,9,4,17,1,16,1,9,4,17,1,12,1,6,1,29,1,13,1,6,1,8,1,30,1,6,2,29,1,7,1,8,1,13,1,8,1,10,1,13,1,7,1,10,3,12,2,10,1,17,5,8,1,30,2,28,89,30,1,28,1,30,2,28,3,30,1,28,1,7,1,28,2,30,1,28,2,6,1,28,2,30,1,29,1,7,1,6,2,29,2,13,1,29,1,6,1,29,1,30,3,28,60,30,1,28,1,30,1,28,1,30,1,29,2,30,2,29,1,7,1,26,1,28,1,30,1,29,1,28,1,30,1,28,2,26,1,30,1,6,1,28,1,6,4,8,1,24,1,6,1,24,2,8,2,12,1,8,1,13,1,24,1,8,2,24,1,13,1,24,1,9,1,24,1,12,1,24,2,9,1,24,1,9,1,17,1,8,1,17,1,12,1,11,1,17,1,12,1,10,1,12,1,10,1,12,1,24,1,17,1,11,1,12,1,17,1,12,2,17,2,10,1,17,1,12,1,17,1,12,1,9,1,17,1,12,1,17,1,12,1,17,3,11,1,9,1,13,1,9,6,13,1,9,4,8,1,9,1,11,1,13,1,11,1,16,2,17,1,16,1,11,1,16,1,11,1,16,1,11,2,16,2,9,3,8,1,9,1,8,1,9,2,11,1,16,2,13,1,9,1,13,1,11,1,16,1,9,1,11,1,9,3,13,1,8,1,9,5,13,2,8,1,16,1,13,2,9,1,13,4,9,1,13,2,9,1,6,1,13,2,8,1,13,3,6,2,30,1,13,1,6,1,13,5,6,1,13,1,8,1,13,2,8,1,9,2,8,1,30,1,28,72,30,1,6,1,30,1,29,1,8,1,7,1,13,1,8,3,9,1,10,1,9,1,10,1,12,1,17,1,8,1,11,1,9,1,17,1,9,1,17,1,8,1,30,1,28,57,6,2,29,1,13,1,7,2,24,1,13,1,8,1,24,1,9,2,13,1,8,1,9,1,12,1,24,1,9,1,8,1,12,1,24,1,8,2,11,1,12,1,13,3,5,1,33,3,5,2,33,136,5,305,13,4,9,1,6,1,30,1,7,1,13,1,9,1,8,1,10,1,24,1,13,1,11,1,17,23,9,1,11,1,9,1,8,1,24,2,8,1,13,3,9,1,24,1,11,1,8,1,9,1,12,2,17,1,12,2,17,36,12,1,17,8,12,4,11,1,10,1,11,1,12,1,8,1,9,2,8,1,9,1,8,1,9,2,10,1,17,2,12,1,17,8,13,1,9,1,12,1,9,1,13,1,10,1,8,1,9,1,24,1,9,1,13,1,11,1,12,1,10,1,11,1,12,1,17,11,11,1,17,2,11,1,17,6,12,1,17,4,11,2,12,1,17,2,12,1,17,1,12,1,17,16,16,3,11,1,16,1,17,1,16,3,17,1,16,2,9,1,16,1,9,1,11,1,9,2,10,1,16,2,11,1,8,1,9,2,11,1,9,1,13,1,8,1,9,3,11,1,9,5,11,1,9,4,11,2,9,1,11,1,16,1,17,1,16,1,11,5,16,4,11,1,10,2,11,3,9,1,10,1,9,1,11,1,8,1,10,1,9,3,11,2,10,1,11,1,16,1,10,1,17,2,16,1,11,1,16,1,13,1,8,1,29,1,13,2,9,1,24,1,6,1,24,4,17,1,12,1,29,1,6,1,30,1,6,1,30,1,29,1,28,1,30,1,28,1,30,5,28,3,6,1,28,7,30,2,7,1,13,1,6,1,13,1,8,1,7,1,30,1,6,1,13,1,29,1,13,2,6,1,28,1,30,1,6,2,29,1,30,1,28,2,6,1,9,2,12,1,9,1,13,1,9,1,17,1,14,1,10,1,13,1,17,2,9,1,15,2,24,1,15,2,14,1,9,1,17,1,11,1,15,1,14,1,9,1,13,1,11,1,9,1,8,1,9,1,8,1,9,1,11,1,17,1,16,1,17,5,9,1,29,1,13,1,11,1,17,2,16,1,9,1,17,1,11,3,16,1,17,1,11,1,12,1,9,1,12,2,9,1,11,1,16,1,12,1,17,1,11,1,17,1,11,1,17,3,11,1,12,1,24,1,8,1,7,1,8,1,7,2,13,1,28,1,26,1,28,4,30,1,28,57,30,1,28,3,30,1,8,2,28,33,13,1,9,1,13,1,7,1,6,1,24,1,13,1,7,1,13,4,7,2,6,1,7,1,13,1,7,1,6,6,29,1,13,1,6,1,30,1,7,2,13,1,6,2,30,1,6,1,30,1,6,1,28,1,13,2,28,1,6,1,28,1,6,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,28,1,6,1,30,2,7,1,30,1,6,1,7,1,29,1,6,1,13,2,6,1,13,3,8,1,13,1,9,1,8,2,9,2,8,1,9,1,10,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,7,1,6,1,7,2,8,1,30,1,7,2,6,2,7,1,13,1,30,1,7,1,13,4,24,1,13,2,7,1,13,1,6,2,7,1,6,2,13,1,6,1,13,1,8,2,13,1,24,1,8,1,13,1,9,2,8,1,9,1,10,1,9,2,11,1,24,1,11,1,8,1,24,1,9,2,10,1,9,1,8,1,24,1,8,1,9,1,13,1,8,3,13,1,8,1,13,2,8,1,7,1,9,1,13,1,8,2,7,1,13,1,11,1,7,1,9,1,10,1,8,1,9,2,24,1,12,1,9,1,8,2,13,1,9,2,8,1,9,5,8,1,24,1,13,1,8,1,13,1,8,1,13,3,8,1,9,1,6,1,13,5,8,1,13,3,6,1,13,1,6,1,13,1,8,1,6,1,8,2,24,1,6,1,13,1,8,1,13,1,7,2,13,1,6,1,7,1,13,2,6,2,13,1,7,1,6,1,7,1,6,1,7,1,6,2,7,1,6,1,7,1,6,1,13,1,6,2,29,1,6,1,28,1,6,1,29,1,6,2,13,1,29,1,7,1,6,1,30,1,6,1,7,1,6,1,30,1,28,1,6,1,7,1,28,4,7,2,29,1,28,3,29,1,28,3,30,1,28,50,30,1,28,9,29,1,28,13,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,29,1,28,1,6,1,30,1,6,1,7,1,6,1,7,1,6,1,29,1,6,1,13,1,6,2,8,1,13,1,8,1,6,1,30,1,28,7,6,1,28,9,6,2,13,1,7,1,13,1,6,1,7,2,29,1,6,2,29,1,30,1,28,1,30,1,6,1,28,1,30,1,29,2,6,1,9,1,12,1,17,10,12,1,17,1,12,2,9,2,8,1,13,3,7,1,8,1,13,2,7,1,29,1,6,1,29,1,7,2,30,1,6,1,13,4,6,1,13,6,8,1,9,2,13,1,11,1,9,3,11,1,9,1,11,1,9,5,8,1,13,1,11,1,9,2,11,1,12,1,11,1,9,1,10,1,9,1,13,1,8,1,9,1,8,3,7,1,13,2,7,1,6,1,13,1,6,1,30,1,13,1,6,1,7,1,6,1,30,1,13,1,30,1,13,2,6,3,29,1,6,2,30,2,5,18,28,9,30,1,9,3,13,1,8,1,13,1,24,1,8,1,9,1,8,1,13,1,6,1,8,1,12,1,17,2,9,1,8,1,28,5,30,1,24,1,9,1,29,1,28,2,30,2,28,27,13,1,11,1,8,1,13,1,29,1,28,1,13,1,11,1,17,1,8,1,}, {13,1,8,1,13,1,9,1,8,1,13,1,29,1,28,8,7,1,28,9,30,1,28,1,30,1,28,1,29,1,30,1,28,11,30,1,29,1,13,1,29,1,6,1,9,1,13,3,17,3,10,1,13,1,6,1,8,1,6,1,13,1,9,1,17,1,11,1,8,1,7,1,9,1,10,1,9,1,13,1,9,1,6,1,13,1,30,1,12,1,17,2,13,1,8,1,9,1,13,2,12,1,16,2,8,1,13,1,11,1,24,2,13,2,12,1,17,3,8,2,9,1,8,1,14,1,9,1,6,1,28,24,7,1,13,1,8,1,13,2,8,1,9,1,8,1,28,1,30,1,6,1,30,2,6,2,8,1,24,1,17,1,14,1,12,1,9,1,13,1,7,2,13,2,7,1,29,1,6,1,13,1,8,1,24,1,13,1,8,1,9,1,28,1,30,1,28,13,13,1,12,1,16,1,11,6,10,2,17,1,9,1,11,5,9,1,17,1,9,1,11,1,9,5,13,2,8,1,6,1,9,1,13,1,9,1,13,1,9,2,11,1,9,2,11,1,9,6,13,1,9,1,11,1,13,1,9,1,11,3,17,1,6,1,28,1,29,1,6,1,7,1,6,1,29,1,7,1,6,1,8,1,7,1,8,1,24,2,8,1,10,3,12,1,17,1,12,1,17,1,11,1,17,3,11,1,9,1,6,1,28,88,30,3,28,3,30,1,28,2,30,2,28,2,29,2,28,1,29,1,28,1,30,3,29,1,28,1,6,1,28,1,6,3,8,1,7,1,29,1,28,54,30,1,28,5,30,1,28,5,30,1,7,1,28,2,30,1,6,1,28,1,29,2,30,2,27,1,30,1,28,1,30,1,29,1,6,1,28,1,6,1,29,1,7,3,8,1,13,1,24,1,8,1,10,1,24,2,13,1,24,1,13,1,8,1,24,1,8,1,24,1,8,1,13,1,8,1,6,1,24,1,9,1,12,1,9,1,8,1,12,1,9,2,12,1,9,2,17,1,10,1,17,1,9,1,12,1,10,1,17,1,9,1,17,1,9,1,12,1,17,3,12,1,17,4,12,1,17,3,12,1,17,3,11,1,16,1,9,1,11,1,9,1,13,2,9,1,8,1,9,1,13,1,9,1,13,2,9,3,8,1,9,1,8,1,9,3,16,1,8,1,9,2,8,1,9,3,16,1,11,1,9,2,8,1,9,2,8,1,9,2,11,1,9,1,16,1,9,3,13,2,11,1,9,1,11,1,8,1,9,1,8,1,9,1,10,1,9,1,8,1,9,2,13,1,8,1,13,1,11,1,30,1,13,2,8,1,9,2,13,1,9,1,13,4,9,1,8,1,13,3,8,1,6,1,9,1,29,1,6,2,13,3,9,2,13,2,8,1,13,2,16,1,8,1,11,1,30,1,28,10,30,1,28,61,30,1,28,1,13,1,29,1,8,1,7,1,13,1,8,1,24,1,8,2,9,1,12,1,10,1,11,1,12,1,11,1,12,2,10,1,9,1,12,1,7,1,13,1,6,1,28,55,30,1,6,1,13,1,6,1,8,1,29,1,13,1,8,1,24,1,8,1,24,2,9,1,8,1,24,1,9,2,8,1,9,2,8,2,13,2,11,1,10,2,13,1,6,1,30,1,13,1,33,1,6,1,30,1,33,4,5,1,33,136,5,302,9,1,13,3,24,1,7,2,28,1,7,1,24,1,13,1,8,1,10,1,8,1,9,1,12,1,17,22,9,1,12,1,9,1,8,1,9,1,8,1,9,1,8,3,9,1,13,1,9,2,11,1,10,1,17,1,11,1,17,2,11,1,17,44,12,2,17,1,11,1,12,1,10,1,17,1,24,1,9,1,10,1,8,2,9,3,10,1,11,1,17,11,9,1,10,1,24,1,9,1,10,2,13,1,11,1,9,1,12,1,10,1,9,1,17,1,10,2,12,1,17,13,11,1,12,1,17,2,12,1,17,1,12,1,17,2,12,1,17,4,12,1,17,1,12,1,17,1,12,3,17,2,11,1,17,1,12,1,17,2,12,1,11,2,17,3,16,2,17,1,16,1,17,1,16,3,17,2,16,6,11,3,9,1,11,1,9,1,11,5,9,1,11,1,9,3,13,1,9,2,11,2,9,2,10,1,17,1,11,2,8,1,11,1,9,1,11,2,9,2,11,1,9,1,16,2,10,1,17,1,16,1,11,2,17,2,9,1,11,2,9,1,8,1,10,1,9,1,11,2,10,1,11,1,9,3,10,2,9,1,11,3,9,1,11,1,17,2,16,1,11,1,16,1,12,1,8,1,10,1,8,3,6,1,7,1,24,1,12,1,24,2,15,1,14,1,7,1,6,2,24,2,26,1,28,1,29,1,28,3,27,1,30,1,29,1,30,1,28,1,30,1,28,8,13,1,6,1,9,2,11,1,8,1,9,1,8,1,9,1,17,1,11,1,24,1,8,1,6,1,24,1,28,1,6,1,7,1,30,1,28,1,30,1,28,2,6,1,12,1,9,1,8,1,24,1,11,1,9,2,16,1,17,1,11,1,17,2,9,1,12,1,9,2,12,1,9,1,8,1,17,1,12,1,9,1,11,1,17,1,8,1,9,1,11,1,9,2,6,1,13,2,11,1,17,1,16,2,11,1,9,1,11,1,9,2,11,1,16,1,17,1,16,1,9,1,17,1,11,1,17,1,11,1,16,1,11,1,10,1,9,1,10,1,9,4,12,1,16,1,11,2,12,1,11,1,17,2,12,1,10,1,17,1,9,3,8,1,6,1,13,2,30,1,7,1,29,2,26,1,12,1,29,1,28,59,29,1,28,2,29,1,30,1,13,1,17,1,28,33,7,1,13,1,6,1,9,1,13,1,7,1,13,4,8,1,6,2,7,1,13,1,29,1,13,1,29,1,6,4,7,1,13,1,29,1,13,3,6,1,13,2,29,1,8,1,6,1,30,1,6,1,30,1,29,1,6,1,30,2,29,1,6,4,30,1,6,2,13,1,29,1,13,1,6,2,30,1,6,3,7,2,6,2,7,2,13,3,8,1,9,1,8,2,10,1,9,1,11,2,9,2,13,1,9,3,8,1,9,1,17,1,13,1,8,1,9,2,13,3,7,1,6,2,7,1,13,1,7,1,30,1,7,1,6,1,7,1,13,1,7,3,13,1,7,1,8,1,13,1,6,1,8,1,13,2,7,1,6,1,13,2,7,2,13,3,9,1,7,1,9,2,11,1,13,1,9,3,8,2,24,1,11,2,10,1,17,1,9,4,8,1,9,1,13,1,10,1,9,1,13,1,8,1,7,1,8,1,24,1,8,1,13,1,12,1,8,1,13,2,9,1,8,1,7,1,9,1,8,2,9,1,8,2,10,1,8,1,9,3,17,1,8,1,9,2,12,1,17,1,8,1,11,1,8,2,24,1,9,1,10,1,8,1,9,2,8,1,13,1,8,1,13,1,8,1,13,1,8,2,29,1,6,1,8,1,13,2,6,1,8,2,13,1,6,1,8,1,7,1,13,1,7,1,8,3,6,1,7,1,8,1,6,1,30,1,6,2,7,1,29,1,13,1,7,1,29,1,7,2,13,1,7,1,13,1,6,1,8,1,13,1,7,1,8,1,13,2,6,2,29,1,6,3,30,1,6,1,29,2,8,1,13,1,6,1,13,1,7,1,29,1,7,1,29,1,7,1,30,2,7,1,28,1,7,1,30,1,29,1,28,1,7,1,8,1,30,3,29,1,28,1,6,3,28,1,30,1,28,52,30,1,28,22,30,2,28,8,30,1,28,1,30,1,28,1,30,2,29,1,28,2,30,1,13,1,6,1,7,1,6,1,30,1,13,1,6,2,7,1,13,1,7,1,6,1,30,1,28,5,29,1,6,1,30,1,28,7,6,1,30,1,6,1,30,1,6,3,29,1,7,1,29,1,6,1,13,1,29,2,30,4,28,1,30,2,28,1,6,1,29,1,13,1,9,1,17,7,12,1,17,2,11,2,10,1,9,2,13,1,8,1,9,1,13,2,7,1,6,1,13,1,7,2,13,2,7,1,6,1,30,1,13,1,30,1,7,1,9,1,13,2,8,1,9,1,10,1,11,1,9,1,10,1,9,1,10,1,11,2,10,1,17,1,11,1,12,1,17,14,11,1,12,1,17,1,12,1,11,1,17,2,10,1,11,1,10,2,8,1,9,1,13,1,9,1,6,1,7,2,13,2,7,1,13,1,8,1,13,8,7,1,13,1,29,1,13,3,5,17,28,9,29,1,9,1,14,1,9,1,13,2,8,2,13,1,8,3,13,1,10,1,16,1,17,3,13,1,28,5,6,1,15,1,13,1,28,1,30,1,28,2,30,1,28,27,8,1,17,1,6,1,30,1,28,2,10,1,15,1,17,1,24,1,}, {24,1,8,2,6,1,24,1,8,1,28,2,30,1,28,3,30,1,28,13,29,1,28,1,29,1,30,1,28,3,30,1,28,9,29,1,30,1,28,1,13,2,24,1,8,1,13,1,9,1,17,2,9,1,6,2,13,1,29,1,13,1,24,1,17,1,9,1,13,2,12,1,9,1,24,2,13,1,7,1,13,1,28,1,12,1,17,1,11,1,24,1,13,3,8,2,11,1,12,1,9,2,12,1,13,1,24,1,9,1,13,1,15,1,17,2,8,1,9,3,8,1,15,1,9,1,13,1,6,1,28,22,7,1,13,2,8,1,7,1,13,1,8,1,9,1,13,1,6,1,29,2,13,1,30,1,6,2,13,1,9,1,15,1,10,1,9,2,6,1,7,1,6,2,8,1,7,2,8,1,6,1,24,1,13,1,24,3,28,1,6,1,28,2,30,1,28,4,30,1,28,4,30,1,13,1,9,1,16,1,11,3,16,1,11,1,9,1,16,1,11,1,10,1,11,1,16,1,11,1,9,1,10,1,11,1,30,1,13,1,8,1,9,2,8,1,9,1,8,2,13,1,9,1,13,1,8,1,9,4,13,2,11,1,10,1,9,3,11,1,9,3,11,2,9,1,16,1,9,1,16,1,13,1,17,1,9,1,11,1,7,1,6,2,30,1,29,1,6,1,29,1,7,1,8,1,7,1,8,3,13,1,24,1,8,1,24,2,12,4,17,3,16,1,17,1,11,1,8,1,30,1,28,76,30,1,28,6,29,1,28,2,7,1,28,2,30,1,28,5,6,1,28,2,30,1,29,2,30,1,29,1,28,1,30,1,29,1,6,1,28,1,30,1,29,2,6,1,29,1,6,1,29,1,7,1,6,1,7,1,28,58,30,1,28,7,30,1,28,1,30,2,28,1,25,1,30,2,6,1,30,2,28,1,29,1,27,2,29,3,6,1,8,2,24,2,8,1,24,3,10,1,24,1,17,2,13,1,24,1,13,1,12,1,8,1,13,2,9,1,10,2,12,2,8,1,10,1,12,1,10,1,12,1,9,1,12,2,17,1,11,1,12,1,11,1,8,1,17,1,9,1,17,2,24,1,11,1,17,2,12,1,17,7,11,1,12,1,17,4,11,1,17,2,11,1,16,1,11,1,9,2,13,1,8,1,13,2,9,1,13,2,9,1,30,1,9,1,13,2,9,1,8,1,16,1,13,1,9,1,8,2,9,1,8,2,13,2,9,1,11,1,13,1,9,3,8,1,9,1,8,1,9,1,16,1,8,1,11,1,13,1,9,2,13,1,9,2,13,1,11,1,9,2,8,1,13,2,9,1,8,1,9,1,11,1,9,2,8,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,2,13,2,9,1,11,1,13,2,8,1,13,4,6,1,13,1,30,1,13,1,8,1,6,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,8,2,9,1,30,1,28,10,6,1,28,59,30,1,6,1,28,1,30,1,29,1,6,1,7,1,8,1,13,2,7,1,9,1,8,1,9,1,10,1,12,1,10,1,17,1,12,1,9,1,12,1,10,1,12,2,8,1,30,2,28,55,30,1,28,1,6,2,7,1,13,1,7,1,13,1,24,1,8,3,9,2,8,1,12,1,13,1,11,1,8,1,24,1,9,1,8,1,9,1,8,1,9,1,16,1,9,1,13,7,28,3,6,1,13,1,33,3,5,1,33,135,5,301,9,1,13,1,8,1,13,1,24,2,7,1,29,1,8,1,13,1,8,1,9,1,10,1,9,2,17,6,12,1,17,16,10,1,13,1,8,1,9,3,13,1,9,1,13,2,11,1,8,1,10,1,9,1,11,2,9,1,11,1,12,1,17,44,12,1,17,1,9,1,17,1,12,1,10,1,12,1,10,1,9,1,8,1,9,2,13,1,8,1,9,2,12,1,10,1,17,2,12,2,17,7,13,1,24,2,12,1,8,2,24,1,11,1,24,1,9,1,8,1,11,1,17,2,11,2,17,13,11,1,12,1,11,1,12,1,17,6,12,1,17,1,12,1,17,1,12,1,17,6,11,1,17,4,12,1,17,2,11,1,17,6,16,2,11,1,16,1,11,2,16,2,9,1,16,1,17,1,16,1,17,1,16,2,11,1,16,1,11,3,16,2,11,1,16,1,9,3,11,1,10,1,8,1,9,2,11,1,10,1,9,2,16,1,9,1,11,3,9,1,11,1,9,1,11,1,9,1,10,1,9,1,11,2,9,2,17,1,11,1,10,1,11,1,16,1,11,4,9,3,10,1,17,1,9,1,10,3,9,1,10,1,11,1,9,3,11,1,9,3,11,1,16,1,17,2,11,1,9,1,17,1,12,1,13,2,9,1,8,1,13,2,8,5,15,1,14,1,8,1,6,1,29,1,26,1,10,1,15,1,29,1,28,1,29,1,30,1,6,2,7,1,6,1,28,1,9,1,28,6,30,1,29,1,13,1,9,1,16,3,10,1,9,1,11,1,9,1,12,1,8,1,7,1,6,1,8,1,10,1,28,1,8,1,29,1,28,1,30,3,28,1,29,1,8,1,10,1,24,1,11,1,9,3,10,1,14,3,17,1,14,1,15,1,12,1,9,1,12,2,15,1,12,2,15,1,17,1,14,2,12,1,17,1,10,1,9,4,8,2,13,1,11,4,9,2,11,1,16,1,17,1,13,3,17,1,16,1,11,2,12,2,11,1,9,1,11,1,10,1,9,1,12,1,10,1,9,1,11,1,12,3,17,2,12,1,9,1,12,1,10,1,24,1,9,1,13,1,6,1,13,2,30,1,6,1,27,1,29,2,27,1,28,1,30,1,28,61,30,2,6,1,17,1,28,34,13,1,7,1,6,1,7,1,13,1,6,1,8,2,13,3,8,1,13,3,6,1,13,1,6,1,30,1,6,1,7,1,6,1,29,1,7,1,13,1,30,1,13,1,7,1,13,1,6,2,13,1,6,2,8,1,29,1,13,1,6,1,13,1,6,1,7,1,13,2,7,4,13,1,6,1,8,1,13,1,6,1,13,1,6,1,8,1,7,1,6,3,7,1,24,1,6,1,13,2,7,1,8,1,7,1,13,1,9,1,13,1,11,1,10,1,7,2,8,2,7,1,9,1,13,1,9,1,8,1,9,2,8,1,9,1,8,1,6,1,7,1,13,1,8,1,13,1,8,1,13,3,7,1,13,1,30,1,13,2,6,2,7,1,13,1,7,1,30,1,13,2,7,1,6,1,13,1,8,1,13,1,24,1,6,1,13,2,6,2,7,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,8,1,24,1,9,2,11,1,9,2,11,1,8,1,9,1,24,1,8,1,9,1,13,1,9,1,8,1,24,1,13,1,9,1,13,3,8,3,12,1,13,1,10,1,9,1,10,1,8,1,9,2,8,1,10,1,9,1,8,1,10,1,8,1,17,1,10,1,9,1,17,1,9,1,11,2,9,2,8,1,11,1,9,1,12,1,13,1,8,2,24,1,10,1,13,1,10,1,7,1,10,1,9,1,13,1,8,1,13,1,8,1,24,1,9,1,13,2,8,1,13,1,6,1,8,1,6,1,7,1,13,1,8,2,7,1,8,1,13,1,7,1,13,2,7,1,13,3,8,1,13,1,8,1,6,1,24,1,6,1,8,1,7,1,13,1,6,2,7,1,6,2,8,1,6,2,29,2,13,1,7,2,13,1,29,1,7,1,29,1,6,1,7,2,30,1,6,1,13,1,6,1,7,2,6,1,7,1,13,1,6,2,30,1,6,1,30,1,29,1,6,1,30,1,29,2,13,1,29,1,30,1,29,1,30,1,28,1,6,1,28,1,29,1,30,1,28,1,30,2,28,2,30,1,28,3,30,1,28,62,30,1,28,3,30,1,28,8,30,1,28,2,30,1,28,1,29,1,6,1,29,1,28,1,6,1,29,1,6,1,29,1,6,1,7,1,13,1,7,1,13,1,8,1,28,1,30,1,28,3,30,2,28,1,8,1,30,1,28,10,30,2,29,3,30,1,6,1,30,1,6,1,13,1,6,3,29,4,6,1,29,1,6,1,7,2,13,2,9,1,17,5,11,1,17,3,12,1,10,2,8,1,13,1,8,1,13,3,8,1,6,1,13,1,6,1,8,1,7,1,13,1,6,2,13,3,30,1,13,1,8,1,13,1,10,1,11,1,17,4,11,1,17,1,10,1,17,27,10,1,12,1,17,1,12,1,11,1,12,1,9,1,11,1,9,1,8,1,9,2,13,4,7,1,13,4,6,1,13,2,7,1,6,1,7,1,30,1,6,1,13,1,5,16,13,1,28,9,29,1,15,1,9,2,13,2,8,1,13,1,8,2,13,2,8,1,11,1,16,1,17,3,6,1,28,5,6,1,14,1,8,1,29,1,28,31,8,1,17,1,6,2,28,1,30,1,8,1,15,1,17,1,8,1,}, {13,2,8,1,13,1,9,1,6,1,28,10,30,1,28,7,30,2,28,1,30,2,28,5,30,1,28,7,30,1,28,2,6,1,7,1,13,1,6,1,13,1,6,1,17,3,9,1,7,2,13,1,6,1,29,1,8,1,11,1,17,1,11,2,9,1,24,2,8,2,6,1,7,1,29,1,8,1,17,1,9,1,8,2,9,2,13,1,9,1,12,1,9,1,10,1,8,1,13,1,9,1,8,1,10,1,7,1,10,1,17,2,11,1,9,1,8,1,24,2,9,1,11,1,29,1,28,22,29,1,30,1,6,1,9,1,8,1,9,1,13,2,10,1,9,1,29,1,7,1,29,1,6,1,13,1,30,1,7,1,13,1,24,1,12,1,17,1,10,1,8,1,13,1,29,1,6,1,8,1,13,3,6,1,13,1,24,1,8,1,24,1,12,1,9,1,6,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,3,8,1,10,1,17,1,16,1,11,1,16,1,11,1,9,1,11,2,16,1,11,1,10,2,16,1,9,3,13,1,8,1,9,1,11,1,9,1,13,1,9,1,17,1,13,1,9,2,8,1,13,1,9,1,8,1,9,3,11,1,9,2,11,1,9,3,11,1,13,1,9,3,8,1,16,1,11,1,9,1,16,1,10,1,17,1,16,1,6,3,30,1,28,1,7,1,6,1,7,1,25,1,8,1,24,1,13,1,24,1,8,2,24,2,12,1,11,1,12,1,17,1,11,1,17,5,10,1,13,1,28,75,30,1,28,8,30,1,28,3,30,1,29,1,28,2,30,1,28,1,30,2,28,3,29,1,30,1,6,1,30,3,6,2,30,1,7,1,6,1,30,1,29,1,8,1,30,1,29,1,6,1,29,1,7,1,13,1,6,1,28,54,30,1,28,1,30,1,28,9,29,1,30,1,28,1,7,1,28,2,30,3,29,1,28,1,29,1,30,2,25,1,26,1,24,1,10,1,24,2,12,1,24,3,8,2,12,1,17,1,12,1,17,1,8,1,24,1,8,1,24,2,9,1,10,1,24,1,9,1,10,1,24,2,10,1,24,1,8,1,10,1,17,2,9,1,17,1,12,2,10,1,17,1,12,1,10,1,24,1,17,1,10,1,17,1,24,1,12,1,17,2,12,1,17,3,12,1,17,4,12,1,9,1,17,6,13,1,9,1,13,2,9,1,13,1,9,2,13,1,9,3,11,1,9,2,11,2,9,1,13,1,9,1,13,1,9,2,13,1,8,1,13,1,9,1,11,1,13,2,9,1,13,2,9,1,13,1,9,1,8,1,9,4,11,1,16,1,9,1,11,1,9,1,13,1,9,1,13,1,9,3,13,1,16,1,10,1,13,2,9,1,13,2,11,1,9,1,13,5,9,1,13,3,9,1,13,1,6,1,13,1,9,1,13,6,8,1,13,4,9,1,13,4,9,1,8,2,9,1,28,12,30,1,28,60,30,3,8,1,6,1,13,2,8,2,9,2,10,1,9,1,10,1,12,2,17,1,12,1,11,1,10,2,11,1,8,1,29,1,28,56,30,3,7,1,13,2,6,2,8,2,13,1,9,1,8,1,13,1,10,1,8,1,11,1,9,4,12,1,11,1,8,1,9,1,8,1,10,1,9,1,13,2,6,1,13,2,9,1,6,1,13,1,28,1,30,1,28,1,30,1,13,3,33,1,5,1,33,136,5,300,13,2,8,1,13,1,7,1,13,1,8,1,6,1,24,1,13,1,9,1,10,1,24,1,12,1,17,24,11,1,8,2,9,1,13,1,8,2,9,1,13,1,8,1,10,2,11,1,9,1,10,3,11,1,17,1,12,1,17,42,11,1,12,1,24,1,17,2,24,1,11,2,24,1,13,1,9,1,8,2,9,2,8,1,9,1,17,12,12,1,10,1,12,2,10,1,11,1,10,1,24,2,9,2,17,1,12,1,17,2,12,1,17,11,11,1,17,2,11,2,17,1,12,1,17,2,12,1,17,1,12,2,17,2,12,1,11,1,17,5,12,1,10,1,12,2,10,1,11,1,10,1,17,2,12,1,17,6,16,1,17,1,11,2,9,1,11,1,9,1,11,1,10,1,11,1,9,1,11,1,16,1,17,1,16,3,11,1,16,1,10,1,17,1,16,1,9,1,11,1,16,1,9,4,11,1,9,1,11,1,9,3,11,2,9,2,16,1,11,2,9,2,11,1,16,1,9,1,16,2,10,1,9,2,11,1,16,1,11,1,16,3,11,1,9,2,8,2,11,1,10,1,11,1,9,1,10,1,9,1,11,1,16,1,8,1,11,1,9,1,11,1,9,3,10,1,9,2,11,1,17,1,16,1,17,1,10,1,16,1,12,1,17,1,10,1,9,1,8,2,7,1,24,1,13,1,8,1,24,1,8,2,12,1,14,1,7,2,6,1,29,1,8,1,26,1,28,2,30,1,6,2,7,2,30,1,8,1,28,7,6,1,17,5,11,2,16,1,10,1,9,1,16,1,10,1,9,1,8,1,24,1,28,5,30,1,29,1,6,2,9,1,8,1,9,1,11,1,9,2,15,1,11,1,14,4,12,2,24,3,29,1,6,1,29,1,28,1,6,1,7,1,8,1,9,1,8,1,9,1,11,3,9,1,8,1,9,1,17,10,11,1,9,1,6,1,13,2,17,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,9,1,12,1,10,1,9,1,17,1,12,2,11,1,12,1,9,1,11,2,10,1,24,1,9,1,7,1,6,1,8,1,6,3,30,1,29,1,28,1,30,1,28,1,30,1,28,59,30,1,28,2,7,1,6,1,10,1,9,1,28,33,6,1,28,1,30,1,6,1,7,2,13,4,8,3,6,1,13,1,8,1,13,1,29,1,13,1,6,1,29,1,7,1,6,1,30,1,7,1,6,2,13,1,6,1,13,1,6,1,8,1,28,1,6,1,7,1,6,1,30,1,6,1,7,1,13,1,6,2,13,2,7,1,6,1,9,1,6,1,13,1,7,1,13,3,6,1,13,1,6,1,8,1,13,1,8,3,13,1,6,1,13,1,10,1,13,1,10,1,24,1,9,1,24,1,10,1,11,1,13,1,12,1,9,1,8,1,11,1,9,2,11,1,9,4,11,1,13,1,9,2,8,1,13,1,30,1,6,1,13,1,6,1,13,1,30,2,7,1,13,1,29,1,13,1,6,1,13,1,29,1,6,1,13,1,6,2,7,1,30,1,8,1,6,3,13,2,7,3,8,2,24,1,8,2,24,1,9,1,13,1,24,1,9,2,8,1,24,1,11,1,10,1,11,1,12,1,24,1,11,1,9,1,8,1,24,1,8,2,13,2,24,1,8,1,9,1,13,1,9,1,7,1,8,1,24,1,13,1,10,2,13,1,10,1,12,1,9,1,8,1,11,1,13,1,9,1,12,1,10,1,9,3,16,1,9,1,12,1,10,1,9,2,8,1,9,1,17,1,8,3,9,3,8,1,13,1,8,1,13,1,8,1,9,1,8,1,30,1,9,1,7,1,8,1,13,3,7,1,13,2,6,1,8,1,13,2,8,1,6,1,7,1,8,1,6,1,24,2,6,1,13,1,6,1,8,1,6,1,7,1,13,1,7,1,13,2,7,1,13,1,29,1,7,1,8,1,7,1,13,1,7,1,6,2,13,1,7,1,6,1,8,1,13,1,7,2,6,1,29,1,6,1,13,1,30,1,6,1,7,1,6,1,13,2,6,2,29,1,8,1,13,1,28,1,13,1,6,1,7,1,30,1,6,2,28,1,29,1,28,1,29,1,30,2,28,1,29,1,28,1,6,2,30,1,28,1,30,3,29,3,28,1,6,1,30,1,28,2,30,1,28,81,30,3,29,1,6,3,30,1,6,1,28,1,30,1,6,1,7,1,6,1,30,1,29,1,28,2,30,2,7,1,6,1,28,6,30,1,28,3,30,1,28,2,30,1,28,1,30,1,29,1,30,2,6,1,29,2,6,2,13,6,6,1,29,1,13,1,6,2,13,1,17,1,12,2,17,5,12,1,11,2,9,2,8,1,13,1,9,1,8,1,13,1,8,2,29,1,13,1,7,1,13,1,7,2,28,1,13,1,7,1,13,1,7,1,9,1,10,2,17,1,12,1,17,35,12,1,17,1,11,1,17,1,10,1,17,1,11,1,10,1,11,1,8,1,11,1,9,1,6,1,9,1,13,2,8,1,13,1,8,1,13,3,7,1,13,3,6,2,7,1,30,1,5,15,6,1,28,9,6,1,14,2,12,1,8,1,13,1,15,1,13,1,8,1,9,1,13,1,9,1,13,1,11,1,17,2,11,1,17,1,6,1,28,5,29,1,9,1,13,1,30,1,28,2,30,1,28,28,9,1,17,1,7,1,13,1,28,1,6,1,9,1,17,1,10,1,8,1,}, {13,1,8,1,6,1,8,2,24,1,29,1,28,7,30,1,28,10,29,1,28,3,7,1,29,1,28,2,30,2,28,7,29,1,28,1,30,2,6,1,7,1,30,1,8,1,7,1,10,1,17,2,8,1,29,1,13,1,6,2,13,1,8,1,17,2,24,1,9,1,24,2,10,1,8,1,13,1,7,1,6,1,29,1,13,1,17,1,11,1,24,1,9,1,7,1,8,1,6,1,17,1,16,1,12,1,10,1,12,1,8,1,9,1,24,1,10,1,29,1,17,2,16,1,17,1,11,1,24,1,8,1,13,1,12,1,9,1,30,1,28,4,30,1,28,8,30,1,28,9,30,2,13,1,9,1,24,1,13,1,8,1,9,1,24,1,6,2,7,2,6,1,7,1,6,1,8,1,12,1,17,3,8,1,6,2,13,2,29,1,6,1,13,2,8,1,24,1,13,1,10,1,12,1,9,1,29,1,28,4,30,1,28,2,30,1,28,2,30,1,28,2,30,1,9,1,11,1,17,1,16,1,9,2,11,1,9,1,10,1,11,1,9,1,11,3,9,2,16,1,9,2,8,1,13,1,9,3,13,1,9,3,13,1,8,1,13,1,11,1,29,1,13,2,9,2,8,1,9,1,10,1,13,1,9,1,11,1,8,1,10,1,9,1,8,1,11,1,9,1,13,1,9,1,11,1,10,2,17,1,9,1,13,1,7,1,28,1,6,1,29,2,28,1,24,1,6,2,24,1,8,2,24,1,8,1,24,3,9,1,17,4,9,1,17,3,11,1,9,1,30,1,28,83,6,1,13,2,28,1,29,1,30,1,28,4,30,1,28,4,6,1,28,1,30,1,28,1,29,1,28,1,29,1,30,1,29,1,30,1,28,1,13,1,6,4,7,1,6,1,7,1,28,1,6,1,28,61,30,1,28,2,6,1,28,3,25,1,30,1,29,1,6,1,29,1,28,1,30,2,29,1,30,3,27,1,8,1,26,1,24,1,12,1,7,1,24,3,8,1,24,1,9,1,12,2,9,1,10,1,12,1,24,1,13,1,9,1,8,1,9,1,10,1,24,1,8,1,24,1,12,1,8,1,17,1,9,1,10,1,24,1,10,1,12,1,17,2,10,1,17,1,9,1,12,2,9,1,11,1,17,1,12,2,9,1,12,3,17,7,12,1,11,1,17,2,11,1,17,5,7,1,16,1,9,4,13,1,11,1,16,1,9,1,8,1,13,1,11,3,16,1,11,1,16,3,9,1,11,1,8,1,9,1,11,1,8,1,9,2,8,1,9,5,11,2,9,1,16,1,11,1,9,1,11,2,9,1,11,1,8,1,9,2,16,1,9,2,13,1,8,1,9,2,11,1,8,1,13,1,9,2,13,1,9,1,6,1,9,1,30,1,13,3,9,1,13,1,9,1,13,1,9,1,13,3,8,1,13,1,9,1,13,2,9,1,13,3,8,2,9,1,13,2,8,1,9,1,8,1,9,1,8,1,9,1,28,12,6,1,28,61,30,1,28,1,29,1,13,4,8,1,24,1,8,2,17,1,9,1,12,2,17,1,12,1,11,1,12,2,17,1,11,1,28,58,29,1,30,2,13,2,8,1,29,1,13,1,24,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,24,1,8,1,9,2,10,1,9,1,10,1,13,2,16,1,8,1,13,4,9,1,13,3,6,1,30,2,6,2,13,1,30,1,9,1,13,2,6,1,33,1,5,2,33,134,5,299,13,1,6,1,13,1,7,1,24,1,13,1,6,1,8,1,13,1,29,1,13,1,9,1,8,1,17,25,9,1,13,1,10,1,8,2,9,1,8,2,9,5,10,2,17,1,12,1,11,1,12,1,17,43,12,1,10,1,12,1,13,1,10,3,9,1,13,1,9,2,13,1,9,2,8,1,10,1,12,2,17,12,24,2,10,1,9,2,8,1,9,2,10,1,17,1,10,1,17,2,11,1,17,11,12,1,17,4,12,2,17,1,11,1,17,2,12,1,17,3,12,1,17,1,12,1,17,5,12,1,11,2,12,1,9,1,12,1,17,3,12,1,17,4,11,1,17,1,10,2,16,1,10,1,9,1,11,1,16,1,10,1,16,1,11,2,16,1,17,2,16,4,11,1,16,1,9,1,17,1,11,2,16,1,11,1,9,1,16,1,11,1,16,2,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,1,11,2,16,1,11,5,9,1,16,1,10,1,9,1,11,3,16,1,11,3,9,2,10,1,9,1,8,1,11,1,9,1,11,1,10,1,9,1,11,1,9,5,11,1,9,1,10,1,11,4,17,5,9,1,11,1,17,1,9,1,17,2,15,1,8,1,24,1,7,2,8,1,10,1,14,1,6,1,29,1,6,2,27,1,28,2,6,1,30,1,12,1,9,1,28,1,30,1,29,1,30,1,28,3,6,1,13,1,17,2,8,1,9,1,11,1,16,1,17,3,16,3,11,1,10,1,15,3,30,1,28,6,30,1,8,1,9,2,13,1,9,1,11,1,24,1,12,1,9,1,14,3,10,1,24,1,8,1,6,1,13,1,6,1,29,2,30,1,28,1,6,1,7,1,8,1,13,2,9,1,13,1,10,1,9,1,8,1,17,3,12,1,7,2,6,1,11,1,17,5,12,1,13,1,29,1,30,1,9,1,12,1,11,1,10,1,9,1,10,2,24,1,17,1,12,1,11,1,16,1,12,1,10,1,17,1,11,1,12,1,9,1,12,1,9,3,17,1,12,1,8,2,13,1,7,2,29,1,27,1,28,3,29,1,28,60,30,1,28,2,30,1,29,1,30,1,9,1,17,1,30,1,28,31,30,1,13,1,6,1,30,1,28,1,30,4,7,1,6,1,13,1,9,2,8,2,13,3,8,1,13,1,6,2,13,1,30,1,6,2,13,1,6,3,13,1,6,1,7,1,6,3,30,1,28,1,6,1,13,1,29,1,13,1,8,1,13,3,6,1,7,1,8,1,30,1,6,1,7,2,13,1,6,1,7,1,13,1,7,1,8,1,13,1,8,1,24,1,13,1,6,1,13,1,24,1,8,1,9,1,13,1,10,2,9,1,13,1,8,1,9,3,11,1,9,1,8,1,10,1,11,1,10,1,8,1,17,1,9,1,10,1,9,2,10,1,12,1,11,1,13,2,9,2,7,1,13,1,6,1,13,1,6,2,13,1,6,2,13,2,30,1,8,1,6,1,7,1,13,1,29,1,13,1,8,1,7,2,6,1,30,1,29,1,24,1,13,2,8,2,9,2,8,1,9,1,10,2,8,1,10,1,9,2,10,1,9,1,24,1,10,1,13,1,24,1,7,1,24,1,13,2,8,1,13,2,8,1,24,1,8,1,9,2,10,1,9,1,10,1,9,1,8,1,11,2,8,1,11,1,10,1,13,1,11,1,9,2,24,1,9,4,10,1,11,1,8,1,11,1,8,1,9,2,10,1,11,1,9,2,8,3,13,2,9,1,8,2,13,1,8,1,9,1,13,3,7,1,13,1,6,2,24,2,13,3,7,1,13,1,7,1,8,1,13,2,7,3,8,1,13,1,7,1,8,1,13,1,8,1,24,1,6,1,8,1,6,2,13,1,29,1,13,1,6,2,8,1,7,1,6,1,8,1,6,1,13,1,7,1,6,1,8,1,7,1,6,2,8,1,30,1,13,1,6,1,7,1,6,1,13,1,7,2,6,2,13,1,6,1,7,1,13,1,7,1,28,1,6,4,29,1,30,4,28,1,6,1,30,2,6,1,29,1,6,1,30,2,29,1,6,1,28,1,29,2,6,1,30,3,28,1,30,1,29,1,30,1,28,75,30,1,28,3,30,1,28,2,30,3,28,1,30,1,6,1,13,1,28,1,30,1,28,2,30,1,28,2,7,1,30,1,28,9,30,1,28,9,30,1,29,1,6,1,7,1,6,1,29,1,6,4,28,9,7,1,13,1,12,1,13,1,11,1,17,1,12,1,17,1,11,1,12,1,10,2,9,1,8,1,10,1,13,1,11,2,9,1,13,2,8,1,13,1,7,1,13,4,8,1,9,1,11,2,17,13,11,1,9,1,7,4,10,1,13,1,11,1,17,10,8,1,17,8,11,1,17,6,10,1,9,3,13,1,8,1,9,2,8,2,9,1,13,1,8,1,13,3,6,1,7,1,28,1,13,1,5,14,13,1,28,9,6,1,14,2,9,1,6,1,13,1,24,1,9,1,8,2,13,2,7,1,17,1,9,1,16,1,11,2,29,1,28,5,29,1,9,1,6,1,28,32,9,1,16,1,8,1,30,2,28,1,12,1,11,1,9,1,7,1,}, {13,4,10,1,7,1,28,8,30,1,28,12,29,2,6,1,28,1,30,1,28,12,29,1,28,1,29,1,7,1,29,1,7,1,8,1,17,3,13,1,6,1,13,1,6,2,7,1,8,1,17,2,16,1,9,2,8,1,9,1,8,1,24,1,13,1,6,2,7,1,11,1,16,1,10,1,24,1,13,1,9,2,11,1,16,1,17,1,9,1,10,1,24,1,8,1,9,2,8,2,17,1,16,1,12,1,16,1,10,1,8,1,13,1,15,2,6,1,30,1,28,1,30,2,28,1,29,1,28,6,29,1,28,11,8,1,9,1,8,2,13,1,9,1,15,1,24,1,13,1,6,1,29,2,6,1,7,1,6,1,13,1,12,1,17,2,10,1,9,1,13,1,29,1,13,3,7,1,8,1,6,1,24,1,8,1,12,2,9,1,12,1,6,1,28,1,30,1,28,5,30,1,28,6,8,1,17,1,12,1,11,2,17,1,11,1,9,1,11,3,17,1,9,1,11,1,17,1,9,1,13,1,11,1,9,3,11,1,13,2,8,1,13,1,9,2,13,1,9,1,13,2,8,2,13,1,9,2,13,1,9,1,13,1,9,1,11,1,8,1,9,1,11,1,9,6,10,1,16,2,17,1,8,1,6,1,28,1,6,2,29,1,6,1,29,1,7,1,13,1,8,1,13,1,24,1,8,2,24,3,12,1,9,1,17,1,9,1,17,1,12,1,17,4,10,1,24,1,6,1,28,82,30,1,28,2,29,1,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,1,6,1,28,1,29,2,28,1,29,1,30,1,13,1,24,1,30,1,29,1,13,2,7,1,30,1,6,1,30,1,6,1,28,58,30,1,28,7,30,1,29,1,28,1,6,1,30,2,28,2,29,1,6,1,28,1,30,1,25,1,27,1,25,1,6,1,24,1,12,2,24,2,12,1,7,1,8,1,10,1,8,1,10,1,8,1,17,1,24,1,12,1,24,3,8,2,24,1,10,1,13,1,9,1,10,2,9,1,24,1,9,1,10,1,9,1,12,1,17,3,10,2,12,3,10,1,9,1,12,1,10,1,11,1,17,1,12,1,10,1,12,1,11,1,12,2,17,2,12,1,17,2,12,1,11,1,17,1,12,1,11,1,17,1,11,1,17,1,16,1,9,2,10,1,11,1,9,2,13,1,9,3,8,1,9,2,13,1,11,2,8,1,9,1,11,1,9,4,13,1,9,1,8,2,9,6,11,2,9,1,8,1,9,3,11,2,16,1,11,1,9,3,13,1,9,4,11,1,13,1,10,1,11,1,10,1,9,4,13,1,9,2,13,2,6,2,13,1,8,1,13,1,8,1,13,1,9,2,28,1,13,1,6,1,13,1,6,1,13,5,9,2,6,1,9,1,8,1,9,3,8,1,28,13,7,1,28,59,30,2,6,2,13,2,8,1,13,1,24,2,13,1,10,2,9,1,12,2,17,3,9,1,12,2,9,1,30,1,28,57,29,1,30,2,7,1,6,1,7,1,8,1,13,1,8,1,13,2,24,1,8,1,24,3,13,1,24,1,9,4,24,1,9,4,13,1,28,1,13,1,28,1,6,1,13,1,9,1,13,3,9,1,13,3,8,1,9,1,13,1,30,1,13,1,6,1,13,2,33,137,5,298,6,1,8,2,13,1,9,1,13,3,24,1,10,1,8,1,9,1,11,1,17,24,9,2,8,2,9,2,13,1,10,1,13,1,8,3,9,1,11,3,12,1,9,1,12,2,17,39,12,1,17,2,10,1,12,1,17,1,12,1,10,1,9,2,13,1,24,1,8,3,9,1,13,1,24,1,12,2,11,1,17,11,11,1,10,1,24,1,10,1,24,2,10,1,11,1,9,2,11,1,12,1,17,3,12,2,17,8,12,1,17,3,12,1,17,2,10,1,17,7,12,3,11,1,17,6,11,1,12,2,9,1,12,3,17,1,11,1,17,1,12,2,17,3,11,1,10,1,9,1,11,3,10,1,11,4,16,2,17,3,16,1,17,1,16,2,9,2,11,2,9,2,11,2,16,2,9,1,11,2,9,1,11,1,9,3,10,1,11,1,16,1,9,1,11,1,16,1,10,1,11,1,10,1,11,1,16,1,9,1,10,1,9,1,11,2,9,6,11,1,10,1,8,1,11,1,8,1,11,1,10,1,9,1,11,2,10,1,9,5,11,1,10,1,9,1,11,3,9,1,11,1,17,11,24,2,8,1,13,1,8,1,7,1,14,1,7,1,30,1,29,1,25,1,30,1,28,1,30,1,28,2,7,1,14,1,30,1,6,1,8,1,30,2,6,1,24,1,17,2,6,1,28,3,9,2,8,1,11,1,9,1,11,1,9,1,17,2,13,1,7,1,29,1,30,1,28,5,30,1,28,1,30,1,24,1,8,2,9,3,10,1,17,3,14,1,10,1,8,1,6,1,29,1,30,1,29,1,28,4,30,1,6,1,13,1,24,1,9,1,6,1,13,1,9,1,12,1,16,1,17,1,14,1,7,1,6,1,28,6,13,1,17,4,13,1,6,1,28,1,6,1,17,1,16,1,9,1,17,2,12,1,10,1,17,1,12,2,11,1,17,1,12,1,16,1,17,1,9,2,17,1,8,1,17,1,8,1,10,1,9,1,8,1,13,1,24,1,6,2,27,2,28,64,30,1,28,3,29,2,13,1,8,1,13,1,28,32,13,1,28,2,6,1,30,2,29,1,30,4,28,1,29,1,7,2,13,1,9,2,8,1,13,2,8,1,13,1,7,1,6,3,28,1,13,1,6,3,7,1,6,1,30,1,6,1,7,1,13,1,7,1,6,1,13,1,6,2,30,1,6,1,8,1,13,1,6,1,13,1,6,2,7,1,13,2,8,1,13,1,7,1,8,2,13,1,7,1,13,1,8,1,13,4,8,1,9,1,10,1,8,1,24,1,11,1,8,1,10,1,9,1,11,3,9,1,11,2,16,1,12,1,16,1,11,1,10,1,11,1,10,1,9,1,11,1,9,2,10,1,8,2,9,4,13,2,8,2,13,1,6,1,13,1,6,1,30,1,13,1,6,1,13,1,6,1,30,1,13,1,7,1,13,1,6,1,13,2,8,2,9,1,8,1,13,1,8,2,24,1,9,1,24,1,9,2,12,1,8,1,11,1,9,1,13,1,24,1,9,1,8,2,24,1,8,1,9,1,8,1,6,1,9,1,8,1,13,4,10,1,24,1,8,1,9,1,10,1,8,1,10,2,9,1,17,1,8,1,9,1,17,2,8,1,10,1,24,1,9,2,12,1,8,1,11,1,12,1,9,5,8,1,9,1,13,1,8,1,13,1,9,1,13,1,6,1,13,2,8,1,24,1,13,1,8,2,13,6,24,1,13,1,6,2,9,1,6,1,9,1,7,1,13,1,6,1,13,1,7,1,6,1,8,1,7,1,13,1,6,1,13,1,7,1,8,1,7,1,13,1,8,1,6,1,8,1,13,1,29,1,8,1,7,1,13,1,7,1,13,1,7,1,8,1,7,1,6,4,8,1,7,1,13,1,6,1,7,3,13,4,29,1,7,1,6,1,7,1,13,1,6,2,7,1,30,1,28,1,6,1,30,1,29,1,6,1,30,1,28,1,6,1,28,1,6,1,29,2,30,1,7,1,30,1,29,1,6,1,29,5,28,1,29,1,7,1,28,1,6,1,30,2,28,1,7,1,28,2,29,1,28,1,29,1,28,77,30,1,28,1,30,1,28,1,6,1,13,1,6,1,28,1,30,1,28,4,13,1,6,1,28,24,30,1,28,1,30,1,28,13,30,1,13,1,7,1,9,1,8,1,12,2,11,1,17,2,9,1,11,2,9,2,10,1,9,3,13,1,10,1,8,1,12,1,11,1,9,2,12,1,17,11,11,1,9,2,13,1,7,1,6,1,28,1,29,1,30,1,28,1,30,1,7,2,30,1,7,1,30,1,6,1,9,1,8,1,10,2,11,3,17,18,12,1,10,1,11,1,17,2,9,1,12,1,8,1,9,1,13,2,8,1,13,1,10,1,9,1,13,2,28,1,13,1,5,14,28,9,30,1,7,1,14,2,15,1,13,1,8,1,24,1,8,2,13,4,9,1,16,1,12,2,17,1,29,1,28,5,8,2,24,1,28,2,6,1,28,29,16,1,9,1,13,2,28,1,6,1,13,1,17,1,9,1,8,1,}, {30,1,7,3,13,2,7,1,28,2,30,1,28,4,30,1,6,1,30,1,28,3,30,1,28,5,30,2,29,1,6,2,28,5,30,1,28,6,30,1,28,2,30,1,13,1,6,1,24,3,12,1,16,1,13,1,6,1,7,1,6,3,13,1,17,2,9,2,11,1,8,1,9,1,7,1,13,1,8,1,28,1,7,1,8,1,17,1,10,1,8,1,13,1,9,2,6,1,13,1,9,1,17,1,11,1,24,1,8,1,13,2,24,1,13,1,24,1,17,4,13,1,24,1,10,1,14,2,13,1,28,7,30,1,28,14,30,1,29,1,6,1,24,1,13,4,14,1,24,1,13,1,6,2,13,1,6,1,13,3,17,4,8,2,6,1,7,1,6,2,13,1,7,1,13,2,12,1,9,2,24,1,9,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,8,8,1,12,1,17,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,10,1,11,1,10,1,9,5,13,1,10,1,9,2,13,1,11,1,13,1,9,1,8,1,13,1,9,2,13,3,8,2,13,1,8,3,9,1,13,1,9,1,10,1,9,1,10,1,16,1,13,1,11,1,10,1,8,1,11,1,9,1,8,1,9,1,17,1,13,1,6,2,29,1,30,2,7,2,8,1,29,1,7,1,25,1,24,1,25,1,24,4,10,2,12,1,17,4,11,1,17,2,12,1,8,1,6,1,28,71,30,1,28,2,30,1,28,3,30,1,6,1,28,2,30,1,28,5,30,2,28,2,30,2,28,1,30,1,6,1,28,1,30,1,28,2,29,1,6,1,29,1,7,1,6,1,28,1,30,1,7,1,13,2,6,1,7,1,6,1,29,1,13,1,30,1,6,1,30,1,28,57,30,1,28,4,30,1,28,1,30,4,28,1,6,1,30,1,29,1,30,2,27,1,29,1,28,1,26,1,27,1,8,1,24,1,12,1,24,4,8,1,24,2,12,1,24,3,17,1,10,1,9,1,24,1,12,2,10,1,13,1,12,1,10,1,24,1,17,1,12,1,24,1,10,1,24,1,9,1,12,1,10,1,11,1,17,1,12,2,17,1,11,1,10,1,12,1,9,1,12,3,11,1,10,2,12,1,11,1,17,3,12,1,17,2,12,2,17,1,10,1,12,2,17,5,16,1,9,2,13,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,11,1,16,1,11,1,9,1,11,1,13,4,8,1,9,1,13,1,8,1,9,3,6,2,13,1,9,2,11,1,9,2,11,1,16,1,9,1,11,1,16,1,9,2,16,2,11,2,16,2,17,1,9,1,17,2,9,1,16,1,11,2,16,1,9,1,10,1,16,2,9,2,16,1,9,3,13,5,9,1,13,3,6,1,13,5,8,2,13,3,6,1,9,2,8,2,11,1,28,14,29,1,28,58,29,1,30,1,29,1,7,3,24,1,13,1,24,1,8,1,24,1,8,1,12,1,10,1,17,2,9,1,10,1,17,1,11,1,17,2,9,1,6,1,30,1,28,54,30,1,28,1,30,1,28,1,30,1,13,1,6,1,8,1,13,1,24,1,6,1,8,1,24,1,9,1,8,1,13,2,8,3,9,1,8,1,12,1,9,4,8,1,9,1,13,4,6,1,13,1,8,1,9,1,8,1,13,3,6,1,13,1,6,2,13,1,6,1,13,2,6,1,13,1,9,2,13,2,33,1,5,3,33,131,5,297,9,1,13,1,7,1,13,2,8,1,24,1,13,1,8,2,9,1,12,1,9,1,12,1,17,24,11,1,13,2,8,1,9,1,24,1,9,3,13,1,8,1,9,2,8,1,9,1,10,1,11,1,12,1,11,1,17,1,12,1,17,1,11,1,17,28,11,1,17,9,10,1,17,1,12,1,9,1,10,1,9,1,24,2,8,1,9,1,8,1,13,1,8,3,17,1,12,1,17,3,12,2,17,8,8,1,9,1,8,1,9,1,24,1,11,1,13,1,8,1,10,3,17,1,12,1,17,14,12,1,17,3,11,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,9,1,10,1,12,1,17,2,12,1,10,1,11,1,12,1,11,2,9,2,12,1,17,11,9,1,16,1,9,2,10,1,11,2,9,1,16,1,11,2,17,2,16,4,11,1,16,2,17,1,11,7,9,1,11,1,9,1,11,1,16,1,11,3,9,2,11,2,10,1,11,1,9,5,11,3,10,1,9,1,11,1,9,2,16,1,13,1,11,1,9,2,11,1,8,1,9,5,11,2,9,2,11,1,9,5,11,3,16,1,9,1,10,1,16,1,17,9,11,1,9,1,24,1,8,1,6,1,13,1,7,1,14,1,24,1,29,1,6,1,24,1,28,5,29,1,14,1,29,1,7,1,15,1,28,1,29,1,8,1,15,1,7,1,28,6,13,1,10,1,11,1,9,1,10,1,16,1,9,1,16,1,11,1,13,1,9,1,30,1,28,7,7,1,8,1,12,1,9,2,8,1,10,1,9,2,12,2,14,1,8,1,6,2,28,2,30,1,29,1,28,4,8,1,9,3,6,2,28,1,10,1,17,2,7,1,28,3,29,1,28,5,9,1,17,1,9,1,17,1,11,1,29,1,30,1,28,1,17,2,16,1,9,1,8,1,9,1,11,1,12,1,11,1,9,1,17,1,9,1,12,3,9,1,8,1,17,1,8,1,11,1,24,1,17,1,12,1,8,1,6,1,7,2,25,1,6,1,30,1,29,1,28,66,30,1,28,1,30,2,7,1,9,1,28,32,13,1,30,1,29,1,7,1,30,1,29,1,30,1,28,1,6,1,28,1,6,2,28,2,29,1,28,2,6,1,29,1,6,1,7,1,6,1,13,2,7,3,28,1,13,1,7,1,29,2,6,4,30,1,6,1,7,1,30,1,6,1,13,1,8,1,13,1,6,1,7,1,13,2,8,1,6,1,13,1,30,1,13,1,7,1,8,1,7,1,24,1,7,1,13,1,6,1,9,1,13,3,8,3,9,2,11,1,9,3,10,1,9,2,10,1,17,1,16,1,17,2,11,1,17,1,16,1,12,1,16,1,17,1,9,1,10,1,9,1,17,1,9,1,12,1,9,2,13,1,9,1,13,2,11,1,9,2,8,2,13,2,6,2,7,1,6,1,7,1,6,3,13,1,6,2,13,1,30,1,8,1,7,1,9,1,13,1,9,2,24,1,8,1,24,1,9,2,8,1,9,1,11,1,8,1,9,1,24,1,11,1,8,1,9,1,8,3,13,1,24,1,7,1,6,1,13,3,10,1,24,1,8,1,24,2,12,1,8,1,9,1,11,1,12,1,9,1,12,1,11,1,12,1,10,1,9,1,11,1,9,1,12,1,9,1,12,1,9,2,11,1,13,1,10,2,8,3,9,2,8,1,13,1,8,1,13,1,8,2,9,1,13,2,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,7,1,8,1,13,2,6,1,13,1,6,1,7,1,6,3,7,3,6,1,13,1,7,1,13,1,6,1,8,1,13,1,9,1,7,1,6,1,13,1,6,2,13,1,6,2,13,1,29,1,13,3,8,1,30,1,6,1,8,1,13,1,7,1,6,1,7,1,8,1,6,1,7,1,13,1,7,2,13,4,7,1,13,1,7,2,13,1,7,1,29,1,6,1,29,1,6,2,30,1,29,3,6,2,28,1,29,2,28,1,6,1,29,1,30,2,28,1,6,1,29,2,28,1,29,1,28,1,29,2,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,79,8,1,6,1,29,1,28,5,6,1,28,44,29,1,13,1,8,1,13,1,8,1,9,1,12,1,17,1,12,3,9,1,11,2,10,1,11,2,9,1,7,1,11,1,10,1,17,10,11,1,17,1,13,1,10,1,13,1,6,1,7,1,28,2,30,1,28,2,6,1,30,1,28,1,30,3,6,3,30,1,6,1,30,1,8,1,12,1,17,1,10,2,12,1,17,19,11,1,17,4,11,2,9,1,10,1,9,1,13,1,9,1,13,1,9,1,28,2,5,14,28,10,13,1,14,2,10,1,13,2,24,1,8,1,13,2,6,1,7,1,8,1,10,1,9,2,12,1,17,1,28,6,6,1,24,1,8,1,28,3,30,2,28,27,16,1,17,1,24,1,30,3,9,1,17,1,10,1,30,1,}, {6,1,28,1,6,1,7,2,13,1,29,1,28,5,30,1,28,1,30,2,6,1,28,9,29,2,28,1,30,2,28,1,29,1,28,4,30,1,28,5,30,1,28,2,7,1,6,1,13,1,24,1,13,2,16,2,9,1,6,1,29,1,6,2,13,2,17,2,11,1,9,1,12,2,13,1,9,1,13,1,9,1,28,2,13,1,12,1,11,1,13,1,8,1,24,1,8,1,7,1,24,2,14,1,10,1,13,1,8,1,13,2,8,1,9,1,8,1,17,3,12,1,8,2,15,1,8,1,11,1,13,1,28,3,30,1,28,9,30,1,28,9,6,2,7,2,24,1,6,1,8,1,14,1,24,1,6,1,13,1,6,4,7,1,8,1,24,1,9,1,17,2,8,1,6,1,7,1,6,1,13,3,6,1,24,1,13,1,12,1,8,1,24,1,9,1,24,1,13,1,30,2,28,1,30,1,28,7,30,1,28,1,30,1,9,1,17,1,12,1,17,1,9,1,12,1,11,1,9,2,11,1,9,1,17,1,9,1,11,1,9,1,8,1,13,3,9,7,13,1,9,2,13,1,9,1,6,1,13,1,10,1,13,1,9,1,13,2,9,2,13,1,9,2,16,1,11,2,13,1,16,1,9,3,11,1,9,1,10,1,9,1,8,1,30,1,6,1,30,1,28,1,6,1,29,2,25,1,8,1,6,1,8,2,7,1,24,2,8,1,24,1,10,1,9,2,12,1,17,1,10,1,17,2,10,1,9,1,17,1,11,1,6,1,28,78,30,1,29,1,28,3,30,1,28,5,29,1,28,3,30,1,29,1,28,3,29,1,6,1,30,1,29,1,6,1,28,1,30,1,6,2,7,1,13,1,30,1,8,1,7,1,6,1,13,1,6,2,13,1,30,1,6,1,28,55,29,1,28,4,30,1,29,1,6,1,30,1,7,1,6,2,29,3,30,1,29,1,30,2,28,1,29,1,6,1,25,1,30,1,25,1,12,1,24,1,25,1,10,2,8,1,6,1,24,3,12,1,24,1,10,1,17,1,12,1,17,1,12,2,9,1,12,1,24,1,10,1,12,1,9,1,17,2,24,1,12,3,9,1,12,4,11,1,17,1,12,1,9,2,12,1,17,1,10,1,17,1,12,1,17,1,12,2,9,2,10,1,17,2,12,3,17,1,12,1,17,5,10,1,11,1,17,1,11,2,13,2,9,2,13,2,11,1,9,1,11,1,16,1,11,1,16,2,9,1,11,4,9,3,8,1,13,2,9,1,8,1,13,1,11,1,8,1,13,1,9,3,11,1,13,2,11,1,9,5,13,2,9,3,13,4,9,2,8,1,13,3,8,1,9,1,16,1,9,1,13,1,9,8,13,1,8,1,13,2,9,1,13,3,9,1,8,1,13,6,9,3,13,2,28,15,8,1,28,59,7,1,29,1,6,1,13,1,7,1,13,1,8,3,10,1,9,1,11,1,12,2,10,1,17,3,12,2,8,1,6,1,28,58,6,1,29,1,6,2,13,1,7,1,24,1,7,1,8,2,7,1,13,1,24,1,10,1,9,1,24,1,10,1,9,2,12,1,8,1,24,1,11,2,9,1,11,1,9,1,13,3,30,2,13,3,6,1,13,5,6,1,13,1,8,1,13,4,6,1,13,1,9,1,13,4,9,1,33,3,5,1,33,130,5,296,9,1,13,4,9,1,8,1,7,1,24,1,8,1,10,1,11,1,12,1,17,3,12,1,17,20,11,1,8,3,13,1,9,2,13,1,11,1,9,1,13,1,8,2,9,1,11,1,24,1,12,1,10,1,12,1,17,1,10,1,17,1,11,1,17,37,12,4,10,1,9,1,10,1,8,1,9,1,8,2,24,1,10,1,8,1,9,1,8,1,17,1,12,1,17,13,12,1,9,1,8,1,24,1,10,2,8,1,24,1,7,1,10,2,17,3,12,1,17,1,12,2,17,5,12,1,17,3,12,1,17,1,12,2,17,2,12,1,17,4,12,1,17,2,12,2,17,1,12,4,9,1,11,1,17,1,12,2,17,3,12,2,11,2,17,5,11,2,10,1,11,1,9,2,10,1,9,1,11,1,16,1,11,1,16,1,11,2,17,1,11,2,16,1,17,1,16,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,11,2,9,1,13,1,11,3,9,1,10,2,9,2,11,1,16,1,9,1,11,1,8,1,9,5,13,1,9,9,11,1,9,1,11,2,13,1,9,1,11,1,10,1,9,3,11,1,9,1,11,2,16,1,10,1,11,4,9,1,16,1,17,8,12,1,8,1,15,1,9,1,7,1,13,1,8,1,12,1,7,2,28,1,24,1,8,1,28,4,8,1,12,1,13,1,6,1,10,1,28,1,13,1,8,1,28,6,7,1,9,1,17,8,12,2,8,1,28,7,6,1,9,1,17,4,16,1,9,1,13,1,8,1,17,1,12,1,13,1,6,1,28,9,30,1,6,1,11,1,9,1,8,1,9,2,30,1,9,1,17,1,9,1,28,1,30,1,29,1,30,1,28,2,8,1,15,1,14,1,7,1,28,1,17,1,13,1,17,2,30,1,13,1,28,1,17,2,12,1,9,1,17,1,10,1,11,2,17,1,9,1,10,2,9,2,17,1,9,1,11,1,24,1,9,1,11,1,24,1,9,1,12,1,8,1,13,1,6,1,25,2,6,1,29,2,28,1,30,1,28,59,30,1,28,1,30,1,29,1,28,1,30,1,29,1,6,1,30,1,6,1,29,1,28,32,30,1,6,3,30,2,29,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,4,30,1,6,1,7,1,29,1,7,2,8,1,7,1,8,1,13,1,7,1,6,2,30,1,29,1,6,1,7,1,6,1,13,1,29,1,6,1,30,1,13,1,30,1,13,1,7,2,6,1,29,1,7,1,13,2,6,1,29,1,13,1,7,1,13,1,7,1,13,2,8,1,9,1,13,1,9,2,8,2,10,2,8,1,9,1,16,1,12,1,17,1,11,1,10,1,16,1,17,18,11,1,9,5,13,2,9,1,10,1,13,1,9,1,13,2,6,2,13,1,29,1,13,2,6,1,13,2,8,2,13,1,9,1,24,1,13,1,24,1,8,1,9,1,10,3,11,1,9,2,8,1,9,1,8,1,9,2,13,1,24,1,9,1,6,1,13,1,8,1,13,4,10,1,24,1,9,2,8,1,9,2,8,1,9,1,11,1,9,3,10,1,16,1,12,1,9,2,11,2,10,1,11,1,9,2,13,2,8,2,10,1,8,1,9,1,8,2,9,1,8,1,13,3,8,1,13,1,8,1,13,3,8,1,13,1,10,1,7,1,8,1,13,1,7,1,8,1,9,1,13,2,8,1,7,1,8,1,6,2,7,2,6,1,13,1,29,1,7,1,13,1,7,1,13,1,7,1,8,2,13,2,7,1,8,1,6,1,13,3,8,1,6,1,8,1,13,1,8,1,29,1,6,1,29,1,13,1,8,1,6,2,7,1,13,1,7,1,6,1,8,1,13,2,7,1,13,4,7,3,6,1,13,1,29,1,7,1,13,4,7,1,6,1,29,1,7,1,29,1,30,1,6,1,13,1,6,1,29,2,13,1,28,1,6,3,29,1,7,1,28,1,30,2,29,1,28,1,29,1,6,1,29,1,28,2,29,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,12,30,1,28,50,30,1,28,4,30,1,28,5,13,2,30,1,28,5,6,1,29,1,28,43,29,2,30,1,13,1,7,1,13,2,8,1,13,1,9,1,8,1,9,1,17,4,12,2,17,3,11,1,17,1,11,1,17,1,11,3,8,1,13,1,9,2,13,2,6,1,7,1,6,1,30,3,28,1,30,1,29,1,28,1,6,1,28,1,30,1,28,1,30,3,28,1,29,1,30,1,6,1,30,2,9,2,11,2,17,26,9,1,12,1,9,1,12,1,9,1,10,1,13,2,28,2,5,13,13,1,28,10,13,1,14,2,12,1,13,3,7,1,6,3,30,1,6,1,9,1,11,2,17,2,28,6,8,1,10,1,13,1,28,32,14,1,17,1,29,1,6,1,30,2,9,1,17,1,9,1,6,1,}, {13,1,6,1,13,1,6,1,9,1,13,1,30,1,28,19,30,1,6,2,29,2,28,1,30,2,28,4,30,1,28,2,30,1,6,1,28,2,30,2,8,1,9,1,13,1,8,1,12,1,17,1,16,1,24,1,13,1,30,1,7,1,13,2,6,1,17,2,12,1,8,1,24,1,9,1,13,1,9,1,8,1,13,1,30,2,8,1,17,1,12,1,9,1,8,3,13,1,9,1,10,1,12,1,13,1,8,1,13,1,10,1,13,1,8,1,15,1,13,1,17,3,16,1,13,2,24,1,8,1,14,1,6,1,30,1,28,1,30,1,28,2,30,1,28,17,6,1,29,1,6,2,13,2,24,1,17,1,9,1,13,4,6,2,7,2,9,1,17,1,14,1,17,1,24,1,30,1,13,1,7,1,13,5,8,2,24,1,9,1,8,1,9,1,13,1,28,1,30,1,28,4,30,1,28,7,13,1,9,1,17,1,11,1,12,1,9,1,10,1,9,2,11,1,9,1,16,1,9,3,8,1,9,1,11,1,10,1,11,3,9,1,11,1,9,1,8,2,9,1,13,1,9,1,13,1,6,1,8,1,7,1,13,1,9,3,11,1,9,2,8,1,16,3,9,2,8,1,11,1,10,1,8,1,11,3,12,1,6,1,30,1,28,1,30,1,29,1,28,1,6,1,8,1,6,1,25,1,8,1,7,1,8,2,24,2,8,1,9,1,24,1,12,1,10,1,9,1,12,1,17,1,12,2,17,1,12,1,17,1,10,1,9,1,28,70,30,1,28,1,30,2,28,1,30,1,28,3,30,2,28,5,29,1,28,1,30,1,28,6,30,1,28,3,30,1,7,1,29,1,6,3,30,1,29,2,8,1,7,1,13,1,6,1,13,2,7,1,29,1,7,1,29,2,28,57,6,1,28,2,6,1,30,2,6,2,30,1,8,1,30,1,28,1,30,1,29,1,28,2,29,1,27,1,29,1,28,1,27,2,8,2,10,1,8,4,25,1,24,2,8,1,24,1,17,1,9,1,17,2,12,1,10,1,24,1,10,1,12,1,9,1,12,1,9,1,10,2,9,2,10,1,24,1,11,1,17,1,10,1,12,1,9,1,17,1,12,1,17,1,9,1,10,1,17,1,12,1,17,1,12,1,10,2,12,1,17,1,11,1,12,1,17,2,12,1,17,2,12,1,10,1,17,4,11,1,17,4,16,1,9,1,11,1,16,1,11,1,16,1,9,6,16,1,11,2,16,2,9,2,16,1,13,1,11,1,9,1,13,1,9,1,16,1,9,1,8,1,13,1,9,1,16,1,13,1,16,1,9,1,11,1,9,1,11,1,8,1,6,1,11,1,9,2,13,1,9,1,13,1,9,2,13,1,9,2,11,1,9,2,16,1,13,1,16,1,8,1,9,4,8,1,11,2,13,2,9,1,13,2,9,2,13,1,9,1,13,1,9,1,13,3,9,2,8,1,9,2,10,1,13,1,9,1,6,1,9,1,13,1,9,1,13,1,8,1,13,1,30,1,28,15,6,1,28,60,29,1,30,1,8,1,13,1,8,2,10,1,8,1,11,1,9,1,17,1,10,1,17,1,10,1,17,1,12,3,24,1,28,60,30,2,13,1,7,1,24,1,6,1,8,3,13,1,8,1,24,2,9,1,24,2,10,1,9,1,10,1,24,1,9,2,10,1,8,2,9,2,6,1,13,1,6,1,29,1,6,3,13,2,6,1,8,1,13,3,8,1,6,1,9,1,13,2,6,1,13,2,9,2,6,1,9,1,6,1,13,4,9,1,5,1,33,1,5,2,33,129,5,295,9,1,13,1,9,1,8,1,13,1,10,1,13,1,9,2,11,1,9,2,17,8,12,1,17,16,11,1,8,1,13,1,8,1,13,1,9,1,8,1,13,1,24,1,13,1,24,2,13,1,9,1,11,4,12,1,11,1,12,1,11,1,12,2,17,34,12,1,17,1,12,1,10,1,12,1,10,2,24,1,8,1,9,1,13,1,7,1,24,1,9,1,13,1,7,1,8,1,12,1,17,4,10,1,17,10,10,1,9,1,10,1,8,3,10,1,24,2,11,1,12,1,17,4,12,1,17,10,12,1,17,1,12,3,17,5,12,2,17,2,12,1,17,1,12,2,17,1,9,1,17,1,9,1,10,3,9,1,10,1,12,1,10,1,12,5,11,1,12,2,11,1,17,2,9,1,11,1,9,4,11,1,10,1,16,5,10,1,11,2,16,3,11,6,10,1,11,1,16,1,11,5,9,1,10,1,9,2,11,2,9,1,16,1,11,1,9,3,10,1,9,2,13,2,8,1,13,1,8,1,9,1,13,1,9,3,11,1,9,2,11,2,12,1,9,1,11,1,10,1,16,1,11,1,9,2,11,1,9,3,11,4,9,1,10,1,9,1,12,1,11,1,17,1,11,1,17,1,9,1,17,2,10,1,17,1,24,2,12,1,13,1,7,1,13,2,8,1,7,1,28,1,8,2,29,1,28,2,29,1,14,1,24,1,6,1,7,1,24,1,29,1,7,1,30,1,28,4,6,1,10,1,12,1,9,1,8,3,13,2,9,2,17,1,9,1,17,1,8,1,30,1,28,5,6,1,14,1,17,1,10,1,9,3,10,1,11,1,9,1,11,1,17,1,13,1,30,1,6,1,28,9,30,1,13,1,16,1,9,1,16,1,17,1,16,1,9,1,8,1,17,1,13,1,28,2,30,1,28,1,6,1,14,2,15,1,17,1,9,1,29,1,17,1,30,1,13,1,17,1,8,1,13,1,8,1,17,2,12,1,11,2,12,1,11,1,9,1,12,1,9,1,17,1,12,1,9,1,12,1,9,3,11,1,9,1,24,1,9,1,17,1,24,2,29,1,7,2,13,1,29,2,28,2,30,1,28,65,30,1,28,1,29,1,6,1,8,1,13,1,30,1,28,30,7,1,30,3,6,1,29,1,30,1,6,1,28,1,29,1,30,1,28,4,30,1,29,1,28,9,29,1,7,1,6,1,13,1,29,1,7,1,13,1,8,1,13,1,8,2,13,3,8,1,13,7,6,1,7,2,13,3,7,1,13,3,8,3,13,1,9,1,13,1,9,2,13,1,9,1,12,1,9,1,16,1,9,1,16,1,17,2,16,1,17,26,9,2,8,1,13,2,10,1,8,1,9,1,8,1,6,1,13,1,6,1,13,1,6,3,13,1,8,2,13,1,8,1,9,1,13,1,8,1,9,2,10,1,24,3,17,1,13,1,8,1,9,1,8,1,13,1,8,1,24,1,8,3,13,3,8,1,13,2,8,1,9,2,13,1,9,1,11,1,24,1,9,1,10,1,11,1,9,1,8,1,10,1,8,1,9,2,11,1,9,3,12,1,9,1,24,1,8,2,9,1,10,1,13,1,7,1,8,2,13,1,11,2,13,2,9,1,13,1,8,1,13,5,8,1,7,1,13,2,9,1,13,2,8,1,13,1,6,1,13,1,8,2,13,2,6,1,13,1,6,1,28,1,13,1,7,1,6,1,13,1,8,1,13,2,7,1,13,1,24,1,13,2,8,1,24,1,29,1,13,1,7,2,13,1,7,1,13,1,8,1,24,1,7,2,13,1,6,1,13,2,8,1,13,2,7,1,6,1,13,1,8,3,13,1,8,1,6,1,13,3,8,1,13,1,6,2,8,1,13,1,8,1,6,2,8,1,13,3,7,1,29,1,7,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,7,1,13,1,6,2,28,1,6,1,30,1,29,1,30,1,6,1,30,1,29,1,28,1,29,1,28,1,30,1,28,3,29,1,28,37,30,1,28,33,30,1,28,5,13,2,30,1,28,1,30,2,28,1,30,1,6,1,7,1,28,47,30,2,6,1,29,1,7,1,6,1,13,1,30,3,6,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,13,2,7,1,30,1,28,1,30,1,6,3,13,1,8,1,9,1,7,1,30,1,28,1,6,1,28,1,6,3,13,1,28,1,6,1,30,1,29,1,28,3,30,1,6,1,28,1,30,1,29,1,6,3,28,1,9,2,12,1,17,23,12,1,17,1,12,1,17,1,10,1,12,2,9,1,8,1,9,1,6,1,30,1,5,13,6,1,28,10,11,1,14,2,9,2,13,2,8,1,13,1,6,1,7,1,30,1,6,1,24,1,9,1,12,1,17,1,12,1,28,6,13,1,10,1,13,1,28,31,30,1,14,1,9,1,13,1,30,1,28,1,29,1,9,1,17,1,7,1,13,1,}, {28,1,30,1,29,1,6,1,7,1,9,1,29,1,28,5,30,1,28,1,30,2,13,1,28,5,6,1,28,2,29,1,30,1,6,1,29,1,30,1,28,1,7,1,6,2,30,1,28,3,30,1,28,3,30,1,28,1,29,1,30,2,10,1,13,2,24,1,9,1,17,2,9,1,6,1,29,1,7,1,6,1,29,1,13,1,17,3,8,1,9,2,12,1,8,2,24,1,6,1,30,1,13,1,11,1,12,1,13,2,8,1,13,2,9,1,11,1,12,1,13,1,8,1,13,1,24,1,8,2,24,1,13,1,17,2,16,1,11,1,8,1,13,1,8,1,24,1,14,1,13,1,30,1,28,4,30,1,28,5,30,1,28,13,13,1,24,1,13,1,8,1,24,1,12,1,17,1,6,1,7,1,30,1,13,1,6,1,13,3,9,1,17,2,16,1,9,1,8,1,6,1,7,1,13,3,8,1,6,1,10,1,24,1,13,1,9,1,24,1,9,1,6,1,30,2,28,6,30,1,28,2,30,1,28,2,8,1,16,1,11,1,12,1,9,1,17,1,9,4,11,3,9,2,16,1,9,1,16,1,9,2,16,1,9,1,16,1,9,1,13,2,9,4,8,1,13,1,11,1,9,2,8,1,9,2,10,1,13,2,9,2,8,1,16,1,8,1,9,1,13,1,9,1,8,1,13,1,11,2,10,1,17,1,8,1,6,1,30,1,6,1,29,2,26,1,29,1,6,1,25,1,6,1,24,1,8,1,13,1,24,1,8,1,24,1,10,1,24,1,12,1,10,1,17,2,12,1,17,1,12,1,17,2,12,1,10,1,9,1,6,1,28,69,29,1,28,1,29,1,28,1,30,4,28,1,30,1,29,1,28,1,29,1,28,1,29,1,28,4,30,1,28,4,30,1,28,2,30,1,28,2,30,2,29,1,6,2,30,1,6,1,29,1,8,2,13,2,7,1,13,2,6,1,13,1,6,1,28,58,29,3,30,1,6,1,29,2,28,1,29,1,30,1,29,1,6,1,28,1,29,2,30,1,29,1,30,2,29,1,26,1,24,1,8,1,24,1,10,1,12,1,24,1,25,2,24,1,27,1,7,1,8,1,10,1,12,2,17,2,12,3,11,1,9,4,12,1,9,1,17,1,12,1,10,1,17,2,12,2,17,1,12,1,17,1,9,1,17,1,12,1,17,2,13,1,12,2,17,1,9,1,12,3,17,1,11,1,12,1,17,1,9,1,17,2,12,1,17,3,12,1,17,1,12,1,17,4,16,1,9,2,13,1,11,1,13,1,8,1,9,2,13,1,8,1,13,1,9,2,11,2,9,1,13,1,9,2,11,1,13,2,9,3,13,1,11,1,13,1,9,1,11,1,9,1,13,1,16,1,13,1,9,1,11,1,16,2,8,1,16,1,11,2,9,2,11,1,8,1,11,1,16,2,9,2,16,2,11,1,16,1,11,1,8,1,16,3,11,1,9,1,16,1,9,2,13,3,6,1,13,2,30,1,13,3,6,1,13,1,9,2,13,1,11,1,8,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,29,1,28,17,6,1,28,56,29,1,28,1,7,1,13,1,30,1,8,4,10,2,11,1,24,1,17,1,12,1,17,1,12,1,17,2,12,1,9,1,6,1,28,59,30,2,29,2,7,1,6,1,7,1,24,1,8,2,13,1,24,1,9,1,8,3,10,1,9,2,8,1,12,1,8,1,24,1,9,1,8,1,9,1,8,1,9,1,6,1,13,2,30,3,6,2,13,2,8,1,13,1,30,1,13,2,6,1,9,1,6,1,13,1,9,2,6,1,13,2,9,1,13,5,6,3,13,1,33,3,5,1,33,128,5,295,9,2,8,1,13,1,9,1,24,2,8,1,24,1,11,1,10,1,12,1,17,24,12,1,17,1,9,1,8,1,24,1,13,1,9,1,10,1,24,1,8,1,13,1,9,1,8,1,13,1,9,1,10,1,9,2,11,1,10,1,9,1,11,1,12,1,17,39,8,1,9,2,11,1,8,1,24,4,10,1,13,1,9,1,11,1,17,1,12,1,17,5,12,2,17,7,24,4,8,1,24,4,11,1,24,1,17,13,12,4,17,2,12,1,17,6,12,2,17,4,12,1,11,1,12,1,9,1,11,1,9,1,10,1,12,2,17,1,12,1,9,1,17,1,12,1,10,1,9,1,17,3,12,1,9,1,11,2,9,1,12,1,9,1,11,2,16,1,9,1,16,3,9,1,16,1,11,1,16,1,17,3,16,4,9,1,16,1,9,2,11,1,9,2,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,16,1,11,3,16,1,11,1,8,1,11,1,9,2,8,2,13,1,8,1,13,1,9,2,13,2,9,3,11,1,9,2,11,1,9,1,17,1,11,1,9,1,16,1,11,2,16,1,11,3,9,1,8,1,11,1,9,1,11,2,9,2,10,1,9,1,12,1,9,3,12,1,17,1,11,1,17,1,9,1,8,1,24,1,12,1,10,1,15,1,12,1,24,2,6,1,29,1,24,1,29,1,28,3,24,2,6,1,8,1,7,2,8,1,28,5,8,1,9,1,8,1,6,1,28,1,7,1,6,1,13,4,30,1,12,1,17,2,28,1,6,1,28,4,6,1,15,1,9,1,13,1,6,1,9,1,10,1,8,1,13,1,10,1,17,1,11,1,12,1,30,1,28,1,13,1,6,1,28,6,6,1,28,1,30,1,6,1,9,1,16,1,9,2,16,2,17,2,6,1,28,2,29,1,28,1,13,1,14,1,24,1,11,1,16,1,13,1,9,1,13,1,28,1,30,1,17,1,13,2,11,1,17,2,11,2,12,1,9,1,11,1,16,3,12,1,11,1,17,3,9,2,12,1,13,1,10,1,9,1,17,1,8,1,24,2,8,2,7,1,29,1,6,2,28,10,30,1,28,48,30,1,28,1,30,2,29,1,28,3,30,1,28,2,7,2,13,2,28,31,6,1,30,2,28,1,6,1,28,1,29,1,28,1,6,1,30,3,28,1,30,1,28,1,30,1,28,13,30,2,28,1,13,1,9,1,29,1,13,4,9,1,8,3,17,1,10,1,8,1,9,1,8,2,9,1,13,1,24,2,8,1,13,1,8,1,10,1,9,3,13,1,9,2,10,1,17,1,11,1,17,4,16,1,17,33,10,1,12,1,11,2,8,1,9,4,8,2,13,1,8,2,13,1,8,1,13,1,24,1,8,1,10,1,8,1,10,1,9,1,24,1,8,1,9,3,8,1,9,2,8,1,9,1,7,1,13,2,7,1,8,2,24,1,6,1,13,2,8,1,9,1,13,1,9,1,8,1,9,1,24,1,9,1,10,2,8,1,9,2,13,1,9,1,13,1,8,1,13,2,9,1,11,2,13,1,9,1,8,1,13,1,8,1,9,2,8,2,13,1,9,2,13,1,7,2,11,1,13,1,9,1,8,1,13,1,8,3,13,1,8,1,9,1,8,1,9,2,6,1,8,1,13,1,9,2,7,1,24,1,13,2,7,1,24,1,7,2,13,3,7,1,13,3,8,3,7,1,13,1,7,1,6,1,8,1,13,1,29,1,7,1,13,2,24,1,13,1,7,1,8,1,13,1,6,1,8,2,13,5,9,1,24,1,13,2,8,1,13,1,24,1,8,1,13,2,8,1,6,2,13,1,7,2,13,1,7,2,29,1,6,2,29,1,7,1,6,1,13,1,29,1,6,1,30,1,6,1,29,1,6,1,7,1,29,1,6,1,7,1,6,4,13,1,6,1,29,1,6,1,28,1,7,1,28,1,29,1,28,1,6,1,30,2,6,1,28,12,30,1,29,1,28,6,30,1,28,2,30,1,28,7,30,1,28,1,30,1,28,3,30,1,28,12,30,1,28,9,29,1,28,4,30,1,28,11,30,1,13,1,30,1,28,1,30,1,28,2,29,2,30,1,28,47,30,1,28,1,30,2,29,1,30,1,6,1,29,1,6,1,13,1,7,2,29,1,6,1,29,1,13,1,7,1,6,1,7,1,30,1,13,1,28,1,6,5,7,1,6,1,30,1,7,1,13,1,28,1,7,1,29,1,30,1,29,1,30,1,7,1,6,1,7,1,6,1,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,3,7,1,30,1,6,1,9,1,17,5,12,1,17,8,12,1,17,8,12,1,17,1,12,1,11,1,12,2,17,1,12,2,11,1,9,2,13,2,5,13,28,11,14,3,8,1,13,1,8,2,13,1,6,1,13,1,30,1,6,1,7,1,8,1,24,1,17,2,9,1,28,6,9,1,17,1,13,1,28,31,6,1,14,1,24,1,13,1,6,1,30,1,29,1,17,2,8,2,}, {29,1,6,3,24,1,9,1,28,7,6,1,28,1,6,1,30,1,28,3,30,1,29,1,28,1,30,4,6,1,28,1,6,1,30,2,29,1,6,1,28,9,6,1,28,1,6,1,7,1,13,1,8,2,13,1,9,1,17,2,10,1,7,1,29,1,6,1,29,1,6,2,12,1,9,2,11,1,12,1,8,1,9,1,10,1,9,1,8,1,29,1,28,1,8,1,17,1,9,2,6,1,13,1,7,1,13,1,7,1,16,1,10,1,9,1,13,1,8,1,7,1,13,3,6,1,17,3,8,1,13,2,6,1,9,1,12,1,6,1,28,5,30,1,28,1,30,1,28,2,6,1,30,1,28,11,6,1,7,1,8,5,12,1,17,1,28,1,29,1,6,2,7,1,6,1,30,1,13,1,9,1,12,1,14,1,12,1,11,1,8,1,30,1,13,2,6,1,7,1,13,1,7,1,24,1,8,1,9,1,12,1,9,1,8,1,7,1,28,1,6,1,28,1,29,1,28,2,30,1,28,4,30,1,28,2,6,1,11,1,17,1,11,1,12,1,11,1,9,1,11,1,9,2,10,1,9,8,16,1,11,1,9,2,16,2,9,1,11,1,8,1,9,1,13,1,9,3,13,1,9,1,13,1,11,1,13,1,10,1,16,1,8,1,9,2,16,1,9,3,11,1,16,1,8,2,11,2,9,2,30,2,29,3,27,1,26,3,29,1,25,2,24,1,13,1,24,1,8,1,10,1,24,1,12,1,9,1,12,1,17,1,12,2,17,2,12,1,10,1,17,1,9,1,10,1,13,1,28,65,30,1,29,1,28,7,30,2,28,8,30,1,28,1,29,1,30,1,28,5,30,1,28,3,30,2,6,1,28,1,29,1,30,1,29,2,7,1,28,1,13,2,6,1,13,1,8,1,7,1,8,1,13,2,6,1,29,1,28,51,29,1,28,4,29,2,28,2,30,1,6,1,30,1,29,1,6,1,7,1,29,1,30,1,29,1,28,1,30,1,29,1,30,1,28,1,27,1,25,1,24,1,25,1,8,1,10,1,7,1,12,1,24,2,25,1,8,1,6,1,30,1,25,1,24,1,12,3,17,1,9,1,17,1,9,1,12,2,10,1,12,1,17,1,9,2,10,1,9,1,12,1,9,1,11,1,12,1,17,1,12,1,17,4,12,1,10,1,12,1,9,1,8,1,17,1,9,1,10,1,17,1,12,1,17,2,10,1,17,3,12,2,17,8,11,1,17,4,9,1,11,1,13,1,9,1,16,2,9,1,11,1,9,2,11,2,13,1,16,1,9,2,16,1,11,1,9,1,16,1,9,1,16,4,9,1,13,2,8,1,13,1,9,1,13,1,9,1,11,1,17,1,9,1,11,1,9,4,16,1,8,1,13,1,16,1,11,1,9,2,13,1,11,1,16,1,13,1,9,5,11,1,16,1,17,1,16,1,17,1,16,1,9,1,16,1,9,2,11,1,9,1,13,1,9,1,13,1,7,1,13,1,6,1,13,2,9,1,13,2,9,3,13,2,9,1,13,1,9,2,7,1,28,18,13,1,28,57,30,1,6,2,8,2,7,1,13,1,9,1,8,1,12,1,9,1,17,6,10,1,8,1,28,58,6,2,28,1,6,1,29,2,6,2,24,1,7,2,8,1,7,1,9,1,8,1,9,1,8,1,24,1,9,1,12,1,8,1,9,1,8,1,16,1,8,1,11,1,9,2,16,1,9,1,13,2,6,1,28,2,30,1,28,1,30,1,6,2,13,2,6,1,13,1,6,1,8,1,13,1,9,1,6,1,13,1,9,1,13,3,9,1,13,2,6,1,8,2,13,1,6,1,13,7,5,2,33,127,5,295,9,2,13,1,8,2,24,1,8,2,11,1,9,1,11,1,12,2,17,24,12,1,11,1,8,2,9,1,13,1,8,4,13,1,8,3,9,1,10,1,11,1,10,1,12,1,11,2,12,1,17,35,12,1,17,2,11,2,8,2,9,2,13,1,10,1,13,1,8,1,9,1,8,1,9,1,17,5,12,1,17,1,12,2,17,8,8,1,24,4,13,1,9,1,24,1,12,1,11,1,17,13,12,4,17,3,12,1,17,1,12,1,11,2,17,2,12,1,17,3,12,4,11,1,10,1,12,1,9,1,12,2,11,1,17,1,12,4,11,1,17,4,9,1,11,3,17,2,11,1,10,2,11,8,16,1,11,1,16,1,11,2,17,1,10,1,16,1,9,4,11,2,9,1,16,1,11,1,16,1,11,1,9,1,10,2,9,3,11,1,9,2,11,1,10,2,8,1,9,1,13,1,8,1,13,3,8,1,9,2,13,1,10,1,9,1,10,1,11,3,10,1,11,4,17,1,11,2,10,1,11,2,9,2,11,3,9,1,10,1,9,1,10,1,8,1,17,2,13,1,6,1,28,4,10,1,17,1,15,2,24,1,6,1,13,1,24,1,10,1,29,1,24,1,29,1,28,4,10,1,14,1,29,1,7,2,8,1,6,1,28,4,24,1,8,1,6,1,28,1,30,1,28,2,6,1,13,1,6,1,13,3,6,1,17,2,30,1,28,4,29,1,10,1,9,1,13,1,8,1,13,1,16,1,9,1,13,2,12,1,24,1,13,1,24,1,28,1,30,2,28,7,24,1,28,1,30,1,13,1,9,1,16,1,17,1,11,1,17,2,12,1,17,1,6,1,28,2,30,2,28,1,14,1,9,1,13,1,8,1,30,2,28,2,17,2,13,1,29,1,16,1,17,2,12,2,17,3,9,2,17,1,9,1,11,1,17,1,9,1,12,2,8,1,17,1,9,1,17,1,8,1,24,1,7,1,8,2,29,1,7,2,6,1,29,2,28,1,29,2,28,9,30,1,28,48,30,1,28,2,29,1,28,2,29,1,28,1,29,1,28,1,29,1,13,2,30,1,28,30,6,1,30,1,28,1,30,1,28,2,6,1,28,1,29,1,30,1,28,1,30,1,28,1,30,2,28,17,29,1,30,1,28,2,30,1,28,1,6,1,30,1,28,4,30,3,29,1,6,2,30,2,7,1,29,2,30,1,28,2,30,1,28,1,30,1,13,1,17,27,16,1,17,19,12,1,17,1,8,1,10,1,9,1,8,1,10,1,9,2,13,1,8,1,11,1,13,3,9,2,17,1,9,1,10,1,9,1,13,1,11,1,10,1,8,1,24,1,9,1,24,1,13,5,8,1,9,1,8,1,7,1,8,1,24,1,8,2,13,1,10,1,13,2,8,2,9,1,10,1,13,1,9,2,8,1,13,2,9,1,11,1,8,1,9,1,8,1,9,1,24,1,8,2,13,1,8,2,9,2,13,1,9,1,7,1,9,1,13,3,7,1,8,2,29,1,13,1,8,1,13,1,9,1,13,2,10,1,13,1,8,3,13,1,8,2,7,1,13,2,24,1,13,1,7,2,24,1,13,2,6,1,13,3,7,1,8,1,13,2,7,1,13,1,9,1,13,1,24,1,8,1,9,2,24,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,10,1,8,1,6,1,13,1,24,1,8,2,24,1,8,1,13,1,8,1,13,1,24,1,8,2,13,2,24,1,13,1,9,1,8,1,6,1,8,1,7,1,8,1,30,1,7,2,8,1,7,2,28,1,8,1,30,1,8,1,29,1,6,2,29,1,8,1,30,1,13,1,6,1,7,1,6,1,7,1,30,1,13,2,29,2,30,1,6,1,29,1,30,1,29,2,6,1,30,1,28,1,30,1,28,1,30,1,28,10,30,2,28,1,29,1,28,5,30,3,28,3,30,1,28,15,30,1,28,5,30,1,28,13,6,1,28,4,30,1,28,5,7,1,8,1,28,9,30,1,28,47,6,1,30,1,29,1,13,1,30,1,6,1,30,1,6,1,28,1,29,1,28,2,30,1,6,1,30,1,6,2,30,1,6,1,30,1,28,2,6,2,13,1,28,1,30,1,6,1,7,1,28,1,30,1,6,1,30,1,28,1,7,1,28,1,13,1,6,2,28,1,6,1,30,1,28,6,29,1,30,1,28,1,6,2,29,1,30,1,7,1,13,1,11,1,17,3,9,1,17,2,9,3,11,2,8,1,9,1,10,2,11,1,13,1,9,1,8,1,13,1,9,4,11,2,12,1,17,3,11,1,9,1,11,1,10,1,13,1,5,12,13,1,28,11,11,1,14,1,16,1,8,1,6,1,8,3,7,1,6,1,13,1,7,1,8,1,9,1,10,1,9,1,11,1,8,1,28,6,13,1,10,1,13,1,28,31,8,1,14,1,9,1,6,1,30,3,17,2,11,1,13,1,}, {30,1,6,1,29,1,6,1,8,1,15,1,6,1,28,8,30,1,29,1,28,3,29,1,30,1,28,1,30,1,28,1,13,1,30,1,6,1,29,2,30,1,28,2,29,1,28,4,30,1,28,4,29,1,28,1,30,1,28,1,6,1,8,1,13,2,8,1,17,2,8,2,7,1,13,1,6,1,28,1,13,1,10,1,17,1,12,1,9,1,8,1,24,1,8,1,24,1,9,1,13,1,29,1,28,1,7,1,16,1,9,1,13,2,6,1,13,3,9,1,12,1,9,1,13,2,8,1,13,1,8,1,7,1,13,1,17,2,16,1,12,1,6,1,8,1,7,1,8,1,15,1,13,1,29,1,28,3,30,1,28,3,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,8,13,1,30,1,8,3,13,1,8,1,11,1,24,1,7,1,6,1,30,1,6,1,7,1,13,1,7,1,13,1,17,3,16,1,10,1,13,1,6,1,13,1,6,1,7,2,13,1,8,1,9,1,13,1,9,1,10,1,17,1,10,1,8,1,28,14,6,1,11,1,9,1,17,1,9,1,11,1,9,1,11,1,9,1,11,1,9,4,13,1,9,7,8,1,11,1,8,1,13,1,10,2,9,4,16,1,11,1,10,1,8,1,9,1,11,1,10,1,8,1,9,2,11,1,9,6,11,1,9,3,11,1,10,1,13,1,29,1,28,1,29,1,6,1,28,1,30,1,25,1,27,1,25,1,8,1,25,1,8,1,24,2,13,1,9,1,24,1,12,1,10,1,12,1,9,1,17,7,12,1,9,1,24,1,28,66,30,1,28,6,6,1,30,1,28,3,30,1,28,1,29,1,30,1,28,4,30,1,29,1,30,1,28,1,30,1,28,3,30,1,28,1,29,2,28,1,29,3,7,1,6,2,7,1,13,3,8,1,6,1,7,1,8,2,13,1,7,2,29,1,28,56,29,1,28,1,29,1,28,2,6,1,29,1,6,1,29,1,7,1,29,2,6,1,8,1,30,1,6,1,29,1,28,1,8,1,25,1,24,1,8,1,24,1,12,2,10,1,24,1,10,1,25,1,8,2,28,1,8,1,24,1,10,2,12,2,17,1,10,1,12,3,17,1,10,1,12,1,17,1,9,1,11,1,17,2,10,1,17,1,9,1,17,1,12,1,17,2,12,2,17,2,12,3,9,1,12,2,10,1,12,2,17,1,12,1,17,2,12,1,17,3,9,1,17,10,16,1,11,1,17,1,9,2,11,1,9,3,13,1,9,3,13,2,16,1,13,1,9,2,13,2,9,2,11,2,9,3,13,2,6,1,13,1,9,1,8,1,6,1,8,1,9,2,13,1,9,2,11,1,9,7,11,1,9,1,16,2,11,1,9,1,11,1,16,1,17,1,16,8,9,1,13,1,11,1,9,1,8,1,9,2,13,2,8,1,13,3,9,2,13,2,9,2,13,1,8,1,13,1,8,1,6,1,28,19,8,1,28,54,30,1,28,2,7,1,6,1,29,1,13,1,24,1,8,2,24,1,17,1,9,2,11,1,17,2,11,1,17,1,12,1,24,1,29,1,28,61,30,1,28,1,29,1,7,1,28,1,6,1,7,1,29,1,24,1,8,1,24,1,6,1,10,1,24,2,8,1,9,2,10,1,9,2,11,1,12,1,9,1,16,1,11,1,9,1,6,2,13,1,28,1,6,1,30,1,6,2,13,3,6,1,13,1,30,1,13,1,9,1,6,2,13,1,6,2,13,4,6,1,13,1,8,1,9,1,6,1,13,1,28,1,6,2,30,1,13,2,9,1,13,1,9,1,33,1,5,2,33,127,5,294,13,1,8,1,24,1,8,2,9,1,13,1,10,1,11,1,9,1,12,2,17,8,12,1,17,17,9,1,8,2,12,1,8,2,13,2,9,1,13,2,8,1,9,2,10,1,11,4,17,1,12,1,17,36,12,1,9,2,8,1,9,1,24,1,8,1,13,1,9,1,13,1,12,1,9,3,12,1,17,4,12,4,17,8,24,1,13,1,9,1,10,1,7,1,24,1,9,1,8,1,13,1,12,1,10,1,12,1,17,12,12,1,17,7,12,1,17,1,12,1,17,1,12,1,17,1,11,1,12,1,17,2,12,1,17,3,11,1,12,1,10,1,12,2,17,1,12,2,17,2,12,1,10,1,17,6,11,4,17,1,10,1,17,1,11,3,16,1,9,2,11,1,16,4,11,1,16,1,17,1,11,1,16,1,9,2,11,1,9,2,11,1,16,1,11,1,10,1,11,1,9,1,16,1,11,3,9,5,11,1,9,1,10,1,11,1,9,3,13,2,9,1,13,1,9,2,8,1,9,3,10,1,11,1,9,1,11,6,16,1,9,1,11,2,9,1,11,1,9,8,13,1,11,1,13,1,28,2,30,1,28,2,24,1,14,1,17,1,9,1,6,1,29,1,28,1,6,1,14,1,24,1,6,1,9,1,30,1,28,2,30,1,28,1,7,1,15,1,12,1,6,1,8,1,6,1,29,1,28,3,24,1,7,1,29,1,28,2,30,1,28,1,30,1,28,1,13,1,9,1,8,1,9,1,8,1,7,1,13,1,11,1,30,1,28,4,6,1,14,1,8,2,13,1,11,1,15,1,6,2,10,1,15,1,6,1,7,1,29,1,28,7,30,2,8,1,7,1,28,1,30,1,13,2,9,2,11,1,17,2,16,1,12,1,17,1,30,1,28,2,30,2,15,1,16,1,8,1,6,1,28,3,13,1,17,1,8,1,13,1,9,1,17,3,9,1,17,1,9,1,17,4,9,1,16,1,12,1,10,2,17,1,12,1,24,1,8,1,17,1,8,1,24,1,10,1,13,1,7,1,24,1,7,1,6,1,13,1,29,1,28,1,29,1,30,1,28,4,30,1,28,10,30,1,28,22,30,1,28,10,30,1,28,14,30,1,28,3,29,1,30,2,29,1,6,1,9,1,28,30,30,2,28,1,30,1,28,1,6,1,30,1,28,1,29,1,28,1,7,1,30,1,28,1,30,2,28,17,30,1,28,28,9,1,17,14,16,1,17,15,11,1,17,21,11,1,9,1,10,1,11,2,9,4,8,1,9,1,8,1,11,1,13,1,9,1,8,1,9,5,13,1,9,1,8,2,9,1,8,1,9,1,7,1,8,2,24,1,8,2,9,1,24,1,7,1,8,2,24,1,9,1,13,1,9,1,11,1,8,2,9,2,13,1,9,1,13,1,8,2,12,1,9,2,6,1,13,1,9,1,13,2,8,2,9,1,13,1,8,3,13,1,6,1,13,1,8,1,7,1,13,3,9,1,13,2,9,2,8,3,24,1,8,1,9,2,13,1,8,1,13,1,12,1,7,1,8,1,11,1,13,1,8,1,13,3,8,2,24,1,6,1,13,1,9,1,13,3,7,1,12,1,13,2,6,1,7,1,8,5,13,1,8,1,7,1,8,2,24,1,8,1,9,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,8,2,24,1,9,1,8,1,13,2,8,1,6,1,13,1,8,1,13,1,24,1,13,2,9,1,7,1,13,1,8,1,6,1,8,1,6,1,8,2,13,3,30,1,13,2,7,1,13,1,6,1,8,1,30,1,7,1,8,1,30,1,7,1,6,1,29,1,6,1,28,1,6,1,30,1,6,1,28,1,6,1,29,1,28,2,30,1,28,5,30,1,29,1,28,5,30,1,6,1,29,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,29,1,28,6,30,1,6,1,28,2,29,1,28,7,30,1,28,1,30,4,28,7,29,1,28,1,30,1,28,3,30,2,28,3,30,1,28,4,9,1,29,1,28,6,30,1,28,4,30,1,28,46,30,1,6,1,30,2,29,1,30,2,28,1,30,1,28,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,29,1,28,1,6,1,28,1,6,4,7,1,6,1,30,1,13,1,6,1,30,1,7,1,6,1,7,1,28,1,30,1,28,5,6,1,28,4,30,4,6,1,29,1,9,2,17,2,9,1,12,1,10,1,13,1,9,1,13,2,30,1,6,1,30,2,13,7,30,1,13,2,6,1,9,8,13,1,5,12,13,1,28,11,9,1,14,1,9,1,13,3,8,1,13,3,29,1,7,1,13,1,24,3,17,1,13,1,28,6,8,1,15,1,6,1,28,31,6,1,14,1,11,1,6,1,28,2,6,1,12,1,17,1,12,1,7,1,}, {28,1,29,1,28,1,9,1,12,1,11,1,6,1,30,1,28,8,13,1,29,1,28,5,29,1,28,1,6,1,29,1,6,1,28,1,7,1,30,1,29,1,6,1,28,1,29,1,30,1,28,8,30,2,28,1,7,1,13,2,8,1,24,1,17,1,14,1,10,1,7,1,30,1,13,1,30,1,6,1,13,1,17,3,8,1,9,2,11,1,9,1,8,2,30,2,29,1,9,1,10,1,13,1,8,1,13,2,6,1,8,1,11,1,17,1,9,1,8,1,7,1,13,2,8,2,9,1,17,3,12,1,13,2,8,2,15,1,13,1,28,1,30,1,28,1,30,1,28,2,29,1,28,1,30,2,28,5,30,1,28,3,30,2,28,1,6,2,13,1,7,1,24,1,8,1,13,1,24,1,9,1,10,1,13,1,29,1,30,1,13,1,30,1,6,1,13,1,7,1,8,1,17,1,14,1,17,1,16,1,13,1,8,2,7,1,6,1,13,1,6,1,29,1,8,2,12,1,9,1,12,1,11,1,13,1,6,1,28,13,30,1,11,1,12,1,17,1,11,2,9,1,11,1,8,1,10,1,13,1,11,1,13,1,16,1,11,2,13,1,16,2,10,1,9,1,8,1,11,1,13,1,9,4,11,1,9,1,11,1,13,2,9,1,8,1,9,2,11,1,9,1,8,1,9,2,11,1,9,1,11,1,8,1,11,2,9,1,16,1,8,1,9,1,8,1,9,2,28,1,29,1,28,2,30,1,27,1,30,1,27,1,6,1,25,1,7,1,24,1,8,1,12,1,24,2,10,3,12,2,17,3,10,1,12,1,17,2,12,1,17,1,24,1,8,1,28,47,30,1,28,19,29,1,28,3,30,2,28,1,30,1,28,1,6,1,28,3,29,2,30,1,28,5,30,1,29,1,30,1,29,1,28,1,30,2,28,1,29,2,30,1,28,1,30,2,29,1,30,1,6,1,13,1,7,1,6,1,8,1,7,1,13,1,24,1,13,1,8,1,24,1,7,1,6,1,30,2,28,52,30,3,28,2,30,1,6,4,29,1,30,1,29,1,30,1,6,1,28,3,29,1,26,3,25,1,8,1,13,1,17,1,24,2,12,1,10,1,24,3,7,1,29,1,8,1,10,1,12,1,17,1,12,1,17,1,12,1,17,2,10,1,12,1,10,1,12,2,9,1,17,1,9,1,11,1,17,1,24,1,17,8,12,1,17,4,9,1,12,1,9,1,12,1,17,1,9,1,24,1,9,1,12,2,17,6,10,1,17,9,16,2,9,2,11,1,9,3,11,1,16,1,11,3,16,1,9,1,8,1,9,1,8,1,9,2,11,1,9,1,16,1,11,1,9,4,16,1,11,1,16,2,11,1,16,2,9,1,16,2,11,1,9,1,11,1,9,1,10,1,9,1,13,1,8,1,11,1,9,1,11,1,9,1,11,1,13,1,8,1,16,2,8,1,16,1,9,1,17,1,11,1,9,2,16,1,9,1,13,1,9,1,10,1,9,1,13,2,8,2,9,1,13,2,9,1,13,1,9,2,13,1,9,1,11,1,13,1,9,4,8,1,28,20,7,1,28,54,30,3,8,1,30,1,13,2,11,1,8,1,24,1,11,1,10,1,9,1,17,1,11,1,17,1,16,1,17,1,9,2,6,1,28,59,30,1,28,1,29,2,6,1,29,1,6,3,13,2,8,2,9,1,13,1,9,2,8,1,9,2,24,1,9,7,11,1,8,1,29,1,28,3,30,1,28,3,30,1,13,4,6,1,30,1,6,1,13,3,6,1,13,10,11,1,9,1,13,2,6,1,13,6,9,1,33,1,5,3,33,126,5,293,8,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,10,1,9,1,12,1,17,1,12,1,17,24,11,1,8,1,13,1,8,1,24,1,8,1,9,1,7,1,9,1,13,1,8,2,13,1,10,1,8,1,24,1,12,6,17,34,12,1,11,1,24,1,9,2,8,1,9,1,6,1,9,4,24,1,10,1,17,6,12,1,17,1,12,1,11,1,8,1,12,2,17,5,8,1,24,1,8,3,9,1,8,1,24,2,12,1,17,1,10,1,17,3,12,1,17,6,11,1,17,9,12,1,17,1,12,1,17,1,11,1,17,4,12,1,11,1,12,1,11,1,12,1,11,2,17,2,12,1,17,4,10,1,12,1,10,1,12,1,17,2,12,1,17,3,10,1,17,2,12,1,17,2,11,1,16,1,17,1,9,2,11,1,16,3,17,1,11,3,16,2,11,1,16,1,9,2,11,2,17,1,11,2,17,2,11,1,16,1,9,1,11,1,10,1,11,2,9,3,10,1,11,1,9,2,13,1,9,1,7,1,13,4,8,1,13,1,8,1,9,2,11,2,10,2,17,1,11,1,16,1,11,1,9,1,11,1,10,1,16,1,9,1,11,1,9,4,8,2,9,3,8,1,9,1,10,1,6,1,28,1,30,2,29,1,13,1,10,2,17,1,9,1,6,1,28,3,14,1,15,1,6,1,24,1,13,1,28,6,8,1,24,1,7,1,8,1,30,1,28,2,30,1,13,1,28,5,30,1,28,1,30,1,13,1,8,4,13,1,8,1,17,1,28,5,8,1,14,1,8,2,10,1,15,1,28,1,30,1,8,1,14,1,12,1,29,1,7,1,6,1,28,1,30,1,28,5,30,2,9,1,15,1,6,1,28,1,30,1,13,1,8,1,9,2,8,2,9,1,10,1,17,1,6,1,28,4,24,1,12,2,8,1,29,1,6,1,9,1,17,1,9,1,13,2,17,4,11,1,12,1,17,1,11,1,9,2,12,1,9,1,17,1,11,1,10,2,17,1,10,1,12,3,9,2,24,1,8,1,10,1,13,1,6,3,30,1,29,1,7,1,28,7,30,1,28,5,30,2,28,3,30,1,28,1,30,1,28,31,29,1,28,2,30,1,28,2,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,1,30,2,28,4,6,1,8,1,6,1,28,29,6,3,30,1,29,1,28,2,30,1,28,1,6,1,30,1,28,5,6,1,28,42,8,1,11,1,17,13,16,1,17,13,12,1,17,1,16,1,17,11,11,1,17,13,11,1,8,1,16,1,11,1,9,1,17,1,11,1,9,1,13,1,10,1,9,1,11,1,17,1,12,1,11,1,9,3,13,1,10,1,9,1,10,1,8,1,9,2,10,1,11,1,24,2,8,2,9,2,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,6,1,8,1,9,2,13,3,8,1,9,1,12,1,13,1,6,1,9,1,7,1,13,1,6,1,9,1,13,1,6,1,8,1,13,1,7,2,24,1,13,2,7,1,8,1,13,1,6,1,8,2,13,2,8,1,7,1,13,1,24,1,13,2,24,1,13,1,8,1,24,1,8,1,12,1,24,1,13,1,10,1,7,1,13,1,8,1,13,1,8,2,24,1,8,1,10,1,13,1,9,2,8,1,9,1,8,1,9,2,6,2,8,1,13,2,8,1,13,1,24,1,13,1,8,1,24,1,13,1,9,2,13,1,8,1,13,1,9,1,8,5,24,1,8,1,24,1,8,1,24,1,8,1,13,1,9,1,11,1,13,1,9,1,13,1,8,1,7,1,9,1,8,2,13,1,9,1,8,1,13,4,24,1,7,1,8,2,6,1,24,1,8,2,13,1,6,2,8,1,9,1,24,1,7,1,6,1,7,1,6,3,29,1,30,3,28,1,30,1,6,1,30,1,6,1,30,4,6,1,28,5,6,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,6,1,30,2,28,2,6,1,30,1,29,1,28,1,30,1,28,1,30,1,28,3,6,1,28,2,6,1,28,1,30,1,28,2,30,2,29,1,28,12,30,1,28,2,29,4,30,1,28,1,30,1,28,3,30,1,28,1,8,2,28,5,30,2,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,43,30,2,6,1,28,1,30,2,28,3,30,1,28,1,29,1,30,1,28,1,29,2,28,1,6,1,28,1,29,1,30,1,28,1,30,4,6,1,29,1,7,1,6,1,28,1,29,1,6,2,8,1,28,1,6,1,28,1,30,1,28,10,6,1,30,2,28,3,6,2,7,1,13,1,30,3,13,2,7,2,28,4,13,1,5,8,13,4,5,1,33,1,13,2,6,1,13,1,5,13,6,1,28,11,11,1,9,1,8,2,6,1,24,1,13,1,8,1,13,2,29,1,30,1,24,1,9,1,8,2,17,1,7,1,28,6,13,1,12,1,13,1,28,31,13,1,14,1,24,1,6,2,28,1,29,1,17,2,10,1,8,1,}, {29,1,6,1,29,1,8,1,10,1,9,1,6,2,28,7,6,1,9,1,28,6,30,1,28,1,30,3,7,1,30,1,6,1,29,1,28,1,30,1,13,1,28,8,6,1,28,1,29,1,30,2,8,1,7,1,13,2,17,1,14,1,8,1,13,1,30,1,6,2,13,1,29,1,9,1,17,1,11,1,9,1,13,1,8,2,12,1,8,1,13,1,30,3,11,1,24,1,8,1,13,1,6,1,13,1,6,1,13,1,10,1,17,1,8,1,6,1,13,1,8,1,13,1,8,1,13,1,24,1,17,2,9,1,16,1,9,1,13,1,8,2,15,1,8,1,30,2,6,1,30,1,28,3,30,1,28,5,30,1,28,9,30,2,8,1,7,1,13,1,6,1,10,1,9,2,13,1,6,1,30,1,29,1,30,1,29,1,6,1,8,1,17,3,14,1,17,1,13,1,8,2,7,1,6,2,7,1,6,1,13,1,9,1,10,1,17,1,12,1,15,1,24,1,28,1,30,1,28,12,29,1,10,1,11,1,17,1,12,1,17,1,9,1,17,1,9,1,11,1,9,3,11,1,9,1,11,1,9,1,10,1,9,1,11,1,13,1,10,1,9,1,8,1,9,1,11,1,9,1,8,1,9,4,13,1,9,1,13,2,9,1,8,1,11,1,10,1,16,1,8,1,9,3,11,2,9,2,16,1,9,2,13,1,11,1,13,2,28,2,6,1,29,2,30,1,25,1,26,1,25,3,6,1,24,1,8,1,24,1,9,1,24,1,12,4,9,1,17,2,10,1,17,2,12,2,24,1,9,1,6,1,28,64,30,1,28,5,30,1,28,1,29,1,28,1,30,1,28,1,29,1,28,1,29,1,28,3,30,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,28,3,30,3,6,2,29,2,28,1,30,1,29,2,24,1,6,2,13,1,7,1,13,2,8,2,13,1,7,2,28,57,30,2,29,1,28,1,29,1,6,1,29,2,6,1,28,1,29,1,6,1,29,1,26,1,6,1,25,1,28,1,26,1,8,1,24,1,12,2,24,1,9,1,12,1,24,1,8,1,13,1,8,1,6,1,7,1,12,1,24,1,12,2,24,1,17,1,12,2,9,1,12,2,9,1,17,1,24,1,17,1,10,1,17,1,11,2,17,2,10,1,17,1,12,1,17,3,11,1,17,2,12,2,17,2,10,1,17,1,10,1,11,1,12,1,17,2,9,1,17,3,9,1,17,2,12,1,17,10,16,3,11,1,16,2,11,1,16,3,9,2,11,1,9,3,13,1,9,1,11,1,9,1,16,1,9,5,13,1,9,3,16,1,9,1,16,1,9,1,11,2,9,1,8,1,9,1,11,2,9,1,13,1,10,1,9,1,13,1,11,1,8,1,9,1,11,1,8,2,9,1,11,1,10,1,9,1,16,1,11,1,16,2,9,4,11,1,9,2,8,3,13,2,8,1,13,4,8,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,9,1,10,1,13,1,28,20,29,1,28,51,30,1,28,2,29,2,30,1,6,1,7,1,13,2,8,2,9,2,17,1,12,1,16,1,17,4,8,1,28,63,29,2,7,1,28,1,7,1,30,1,13,1,8,1,7,1,13,1,24,1,8,2,24,1,9,1,13,1,9,2,8,1,9,1,10,1,9,4,11,2,30,1,28,4,30,2,6,1,28,2,13,1,6,1,28,1,6,1,13,2,6,4,13,7,6,1,13,5,6,1,13,3,9,1,6,2,13,3,9,1,33,2,5,2,33,127,5,291,11,1,13,4,9,1,13,1,10,1,9,2,12,2,17,25,12,2,9,1,13,2,9,1,8,1,6,1,13,2,7,1,13,4,10,1,9,1,17,1,10,1,12,2,11,1,17,35,9,1,10,1,9,1,13,2,12,1,13,1,8,1,9,1,8,3,9,1,17,5,12,1,17,1,10,1,11,1,12,1,10,1,12,2,17,2,12,1,17,3,10,1,8,1,24,2,13,1,10,1,9,1,12,1,24,1,17,1,9,1,17,3,12,2,17,2,12,1,17,6,12,1,17,2,11,1,12,3,17,4,12,1,17,1,12,3,17,2,10,1,12,1,10,1,12,5,17,1,12,1,17,1,11,1,17,2,12,2,17,1,12,1,17,7,10,1,17,2,10,1,16,1,9,1,11,1,16,1,11,1,17,3,16,1,17,1,16,1,17,1,16,3,11,1,16,1,9,1,16,2,11,1,9,1,11,2,13,1,9,3,11,1,10,2,9,6,8,1,13,2,7,1,13,1,8,1,13,3,9,1,13,1,9,3,11,1,9,1,11,1,16,1,10,1,17,1,9,1,11,2,10,2,9,1,10,1,9,1,11,1,9,1,10,1,9,1,13,1,11,1,9,2,8,2,9,1,30,1,28,1,30,1,28,1,13,1,8,1,9,1,10,1,17,1,12,1,13,1,8,1,7,1,28,1,13,1,24,1,7,1,24,2,28,4,30,3,8,1,7,1,30,1,28,3,8,1,6,1,28,6,6,1,7,1,9,2,24,1,9,1,8,1,9,2,17,1,28,5,7,1,14,1,8,2,14,1,30,2,7,1,8,1,24,1,6,1,30,1,7,1,13,1,28,3,29,1,28,1,13,1,7,1,6,2,8,1,14,1,9,1,28,1,6,3,13,1,9,2,10,1,16,1,12,1,17,1,9,1,28,1,6,1,28,2,6,1,13,2,17,4,8,1,13,1,16,1,17,5,12,1,10,1,12,1,17,1,9,1,17,1,9,1,17,1,11,2,9,1,10,1,9,1,12,1,11,1,17,1,13,1,9,1,24,1,13,1,24,1,8,1,7,2,6,1,7,1,29,2,6,1,29,1,28,1,29,1,28,1,30,1,28,4,30,1,28,1,30,3,28,2,29,1,28,4,30,1,28,18,30,1,28,2,30,1,28,4,30,2,28,8,30,1,28,2,30,3,28,2,29,1,30,1,28,2,30,2,28,1,13,1,6,2,7,1,28,29,6,1,30,3,28,2,30,3,29,1,28,2,30,1,28,42,30,1,6,1,9,1,17,1,11,1,17,7,16,1,17,1,9,1,16,1,17,4,16,1,17,8,12,1,17,4,16,2,17,1,11,1,17,1,16,1,17,1,16,1,17,20,16,2,17,2,11,2,9,1,17,2,9,1,13,1,11,1,13,1,9,1,8,3,9,1,8,1,9,2,12,1,9,1,12,1,17,1,8,1,17,1,11,1,10,1,24,1,9,1,8,1,13,1,9,1,24,1,13,1,24,1,8,1,24,1,8,1,9,1,13,1,10,1,7,1,13,1,6,1,8,3,13,1,8,2,7,1,13,4,9,1,6,1,30,1,13,4,7,1,6,1,8,2,13,1,7,1,8,1,13,1,8,1,13,1,6,1,8,1,13,4,9,2,13,1,24,1,13,1,8,1,24,1,10,1,8,1,13,1,6,1,8,1,10,1,13,1,8,3,9,1,8,3,10,1,9,2,8,1,10,1,11,1,9,1,8,4,13,2,24,1,11,1,7,1,9,2,13,1,8,1,10,1,13,1,24,1,8,1,12,1,8,2,9,1,13,1,10,1,13,1,8,2,13,2,9,1,13,2,9,1,13,2,8,1,13,1,24,1,8,1,13,1,24,1,13,1,11,1,29,1,13,1,24,1,6,1,24,1,13,2,6,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,7,1,6,1,13,1,7,2,6,1,30,1,8,1,30,1,7,1,30,1,29,1,7,1,29,1,7,1,28,1,30,1,7,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,29,3,6,2,30,1,29,1,6,2,28,3,30,2,29,1,6,1,30,1,29,1,28,1,6,2,28,1,6,1,30,1,7,1,6,1,29,1,30,2,29,1,30,2,6,2,30,1,28,2,29,1,6,1,30,2,28,1,6,1,28,2,7,1,28,1,30,2,29,1,30,1,28,1,6,1,29,1,30,2,29,1,6,1,13,1,28,1,6,1,30,2,6,1,7,1,13,1,30,1,28,2,29,1,30,3,6,1,28,1,29,1,28,2,6,1,28,2,6,1,28,1,30,2,28,47,30,1,28,3,30,1,28,3,30,1,29,1,30,1,28,1,7,1,28,1,6,1,29,1,30,3,7,1,28,1,30,1,8,1,30,2,29,2,6,1,30,1,6,1,29,1,30,1,6,1,28,11,30,1,28,1,30,1,28,11,6,3,28,5,5,31,28,11,29,1,13,1,8,1,10,1,9,1,8,1,13,3,6,1,13,1,6,2,8,2,9,1,13,1,17,1,29,1,28,6,6,1,14,1,6,1,28,31,8,1,14,1,8,1,30,3,28,1,17,2,9,1,13,1,}, {13,1,6,1,13,1,8,2,10,1,8,1,30,1,28,7,29,1,6,1,28,3,30,1,28,4,6,1,30,1,29,1,30,2,29,1,30,1,29,1,28,2,30,1,28,8,6,1,30,1,6,1,7,1,13,1,7,1,13,2,17,1,14,1,15,1,13,1,30,1,29,2,6,2,9,1,17,2,16,1,8,1,13,1,9,1,13,1,8,1,6,1,30,1,6,2,9,2,8,1,7,1,6,1,13,1,6,1,13,1,24,1,9,1,12,1,24,1,8,1,7,2,8,1,6,1,13,1,17,2,11,1,17,1,13,1,8,2,13,1,14,1,13,1,28,6,30,1,28,2,30,1,28,11,30,1,29,1,7,1,29,1,7,1,9,1,13,2,8,1,9,1,16,1,9,1,30,1,28,1,6,4,13,1,9,1,17,3,12,1,13,2,6,1,7,1,13,1,7,1,6,1,8,1,13,1,9,2,11,1,12,2,8,1,30,3,28,11,6,1,9,1,17,2,16,1,17,1,11,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,11,1,9,1,8,1,11,1,13,1,9,2,8,1,11,2,9,1,10,1,9,2,16,1,8,1,16,1,9,2,8,1,9,1,16,1,9,1,16,1,9,1,11,3,9,2,13,1,11,1,9,6,12,1,13,1,6,1,28,2,7,1,28,1,30,1,26,1,25,1,26,1,6,1,27,1,8,2,7,1,13,1,9,1,24,1,10,2,17,1,12,2,17,1,12,3,17,1,12,1,10,2,9,1,12,1,24,1,30,1,28,68,29,1,30,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,6,1,28,2,30,4,29,2,28,2,29,2,28,1,29,1,6,1,28,1,7,1,28,1,30,1,6,3,13,1,7,1,29,1,13,1,6,1,24,1,8,1,13,1,24,2,8,1,24,1,6,2,29,1,28,52,30,1,28,1,29,1,28,1,30,1,28,1,7,1,29,1,6,1,30,1,6,1,28,1,30,2,28,1,29,3,25,1,26,3,8,2,24,2,12,1,10,1,24,1,12,1,17,1,12,1,8,1,9,1,10,1,12,2,10,1,17,1,12,1,9,1,10,1,17,1,10,1,9,2,12,1,10,1,11,1,12,1,9,1,12,1,17,1,12,1,17,9,12,3,17,3,12,1,11,1,17,2,12,1,17,2,12,1,17,5,12,2,10,1,17,9,11,1,16,2,8,1,9,2,13,1,11,1,13,1,16,2,9,3,16,2,9,1,17,1,8,1,11,1,9,1,11,1,16,1,9,3,11,1,9,2,11,2,8,2,9,2,11,1,9,1,11,1,16,1,9,1,16,1,11,2,8,1,11,1,8,1,9,2,16,1,9,2,8,1,13,1,9,1,13,1,8,1,11,1,9,4,13,1,9,3,13,3,8,1,13,2,6,1,30,1,6,1,13,1,6,1,9,1,8,2,9,2,13,1,10,1,6,1,13,1,9,1,13,1,28,20,13,1,28,54,30,1,29,1,30,1,6,1,29,1,13,1,8,1,13,1,8,1,12,1,9,2,12,1,17,3,16,1,12,1,8,1,28,62,30,2,28,1,6,1,28,1,6,2,29,1,13,1,8,1,13,1,7,1,24,1,9,1,24,1,8,1,10,1,8,1,10,1,9,1,8,2,10,1,8,1,9,1,11,1,9,3,30,1,28,4,30,1,28,1,13,1,28,1,6,2,13,1,6,2,13,3,30,1,13,1,6,3,13,4,30,1,13,2,6,1,13,1,6,1,13,2,6,1,13,4,9,1,13,1,8,1,13,3,9,1,13,2,33,2,5,1,33,125,5,291,9,1,13,2,8,1,13,1,8,4,9,1,12,2,17,10,12,1,17,10,12,1,17,3,12,1,17,1,10,1,24,1,13,2,8,2,13,1,7,1,13,1,8,2,13,1,9,1,10,1,11,1,9,1,12,1,11,2,12,1,17,32,12,1,17,1,10,2,11,1,24,1,9,1,8,1,9,1,8,1,13,1,11,1,8,1,11,2,17,5,12,1,17,1,12,1,10,1,12,2,10,1,12,2,17,5,12,1,8,1,9,1,13,1,10,2,13,1,10,1,24,1,17,1,12,1,17,4,12,2,17,8,12,1,17,2,11,2,17,1,12,2,17,3,12,3,17,1,12,2,17,1,12,2,17,1,11,1,17,2,12,1,17,1,12,2,17,1,10,1,17,8,12,2,17,1,12,1,17,1,12,2,17,2,11,1,9,1,13,1,11,1,16,1,17,1,11,1,17,1,16,2,11,2,17,2,11,2,9,1,11,2,16,1,17,1,16,1,11,2,9,1,11,2,9,1,11,3,13,1,11,2,13,1,9,2,13,1,8,1,13,2,7,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,9,2,11,1,9,1,11,2,10,1,9,1,17,1,9,3,11,1,10,1,9,3,16,1,9,3,11,1,9,1,8,1,9,1,29,1,28,2,29,1,24,1,8,1,6,1,24,1,12,1,10,2,8,2,7,2,24,1,8,1,7,1,10,1,24,1,6,1,30,1,28,2,30,1,29,2,24,1,6,1,28,2,30,1,8,1,28,8,7,1,8,3,9,1,8,1,13,1,7,1,17,1,7,1,30,1,28,3,29,1,14,1,12,1,9,2,28,1,30,1,7,1,24,1,10,1,7,1,29,1,8,1,9,1,30,1,7,1,30,1,7,1,6,1,13,1,8,1,9,1,8,1,9,1,17,2,9,1,29,2,6,3,9,2,17,5,9,1,7,1,6,1,13,1,9,1,13,1,17,2,16,1,11,1,16,1,17,8,9,1,10,1,9,1,10,1,12,1,10,1,9,1,12,1,17,2,9,1,17,1,10,1,17,1,12,1,9,1,10,1,24,4,13,2,6,1,7,1,6,1,30,1,29,1,30,2,6,1,28,1,30,1,29,3,6,1,28,1,30,1,28,4,27,1,30,1,28,2,30,2,28,19,30,1,28,1,29,1,28,1,30,2,28,3,30,1,28,2,29,1,28,1,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,29,1,28,1,6,3,29,1,13,1,28,28,6,1,30,2,29,1,30,2,28,1,6,1,29,1,28,46,8,1,17,10,16,1,12,1,9,1,17,7,12,1,17,6,9,1,17,2,16,1,17,1,16,1,17,9,16,1,17,1,16,1,17,28,11,1,17,2,16,1,17,1,9,1,11,1,8,1,9,1,13,2,9,1,13,1,9,1,13,1,17,1,13,1,9,1,12,1,6,1,8,1,9,1,6,1,13,3,8,3,13,1,8,1,13,1,8,1,13,1,9,2,8,1,13,1,24,1,7,1,8,1,6,1,13,1,6,1,8,1,13,2,7,1,8,1,7,3,6,1,13,1,6,1,8,3,13,1,8,1,7,1,13,1,8,2,13,4,8,3,9,1,8,1,9,2,8,1,9,2,7,1,24,1,13,1,8,1,13,1,8,3,24,1,9,1,8,2,9,1,13,1,9,1,13,1,8,1,9,2,13,1,9,1,10,1,11,1,9,1,13,1,11,1,9,1,10,1,8,3,24,2,8,4,9,1,8,4,13,1,10,1,13,1,9,1,8,3,9,2,13,1,9,1,29,1,9,1,10,1,13,1,10,1,13,1,8,1,11,1,7,1,13,1,8,4,13,1,24,1,13,2,10,1,8,2,13,2,24,1,7,1,13,2,7,1,6,1,13,1,7,1,6,3,28,1,6,1,13,1,6,1,7,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,6,1,29,1,30,2,13,1,28,1,6,2,30,1,29,2,30,1,10,1,13,1,6,2,29,3,6,2,30,1,13,1,29,1,30,1,7,1,29,1,30,2,6,1,29,1,6,1,29,1,30,1,6,1,30,1,28,1,30,1,29,1,28,1,30,3,29,1,30,2,13,1,28,1,29,1,6,1,29,1,6,1,30,1,6,1,29,1,30,1,29,1,6,1,29,1,6,1,30,1,6,2,29,1,30,1,8,1,9,1,7,1,30,2,28,1,29,1,28,1,6,4,30,3,28,1,6,1,28,1,6,1,13,1,30,1,6,1,28,1,30,1,29,1,30,1,28,4,30,1,28,55,29,1,28,1,6,1,29,1,6,1,29,1,30,3,28,2,29,2,30,3,28,13,30,1,28,14,30,1,28,4,5,31,28,11,30,1,8,1,9,1,16,1,24,2,7,1,8,1,13,1,24,1,6,1,30,1,6,1,8,1,12,1,9,1,10,1,17,1,6,1,28,5,6,1,9,1,14,1,30,1,28,31,11,1,14,1,7,1,6,1,30,2,6,1,17,2,8,1,7,1,}, {8,1,13,1,7,1,9,1,11,1,9,2,30,1,28,5,30,1,28,2,13,1,28,6,30,1,28,1,6,1,29,1,6,1,28,1,6,1,30,1,29,1,30,1,28,3,30,2,28,5,30,2,28,2,7,1,13,3,24,1,10,1,17,1,9,1,13,1,6,1,30,2,13,1,29,1,9,1,12,1,17,1,10,1,11,1,12,1,8,3,6,2,28,1,6,1,12,1,9,1,13,1,6,1,30,1,29,1,13,2,9,1,17,2,13,2,8,1,6,1,13,3,9,1,12,1,17,2,7,1,29,2,13,1,16,1,9,1,30,1,28,1,30,1,28,1,30,1,28,5,30,2,28,1,30,1,28,7,30,1,6,1,7,1,13,1,24,1,10,1,8,1,9,1,8,2,16,1,13,1,6,5,28,1,13,1,8,1,17,3,9,1,7,1,8,3,13,1,28,1,30,1,6,2,8,1,12,1,11,2,12,1,13,1,30,1,28,10,30,1,28,3,17,1,16,1,11,7,9,3,10,1,9,1,11,1,9,1,11,1,16,1,11,2,9,1,10,1,9,3,17,1,9,2,13,2,8,1,9,1,10,1,11,1,17,1,9,1,11,1,10,1,9,1,16,1,8,1,11,1,9,2,10,1,8,1,9,1,13,1,9,1,8,1,16,1,9,1,10,1,13,1,30,1,28,3,29,1,30,1,27,1,29,2,25,2,7,1,8,3,9,1,24,2,10,1,17,1,10,1,12,1,11,1,17,2,12,2,17,1,9,1,10,1,9,1,12,1,7,1,13,1,28,49,30,1,28,17,29,1,30,1,28,2,29,1,28,1,30,2,28,1,6,1,28,1,30,2,28,1,29,1,28,2,29,1,28,1,7,1,28,1,6,1,30,1,29,1,7,1,29,1,6,2,28,1,30,1,6,4,13,1,7,1,6,2,8,1,7,1,24,1,13,1,8,1,13,2,8,1,24,1,6,2,30,1,28,57,30,1,28,1,29,1,6,1,30,1,29,3,30,3,25,1,6,1,25,1,27,1,25,2,8,1,10,1,9,1,10,1,8,1,12,1,9,1,17,7,12,1,10,1,12,2,10,1,9,1,17,1,8,1,17,5,11,1,17,3,12,1,16,1,17,4,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,7,10,1,17,2,12,1,17,1,10,1,24,1,12,1,17,1,24,1,12,1,17,4,12,1,17,1,16,2,17,2,16,1,9,1,16,1,9,3,16,2,11,1,16,1,9,3,16,1,8,1,11,1,13,1,11,1,9,1,16,1,9,1,13,2,9,1,8,1,9,1,11,1,9,1,8,1,13,1,9,1,13,1,9,1,10,1,9,2,13,1,11,1,9,1,11,3,16,1,13,1,9,5,13,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,16,1,9,3,8,1,9,1,10,1,9,2,13,1,9,1,13,5,11,1,9,4,16,1,11,1,9,3,13,1,9,2,30,1,28,20,7,1,28,53,29,1,30,1,6,1,29,1,30,1,6,1,24,3,12,1,24,1,10,1,9,1,17,5,30,1,28,62,30,1,28,1,29,1,28,1,29,1,30,1,6,1,13,1,30,1,6,1,13,1,7,1,8,2,10,1,8,1,9,3,10,1,9,1,8,1,10,1,9,2,11,1,9,1,11,2,6,1,30,1,28,6,30,1,28,1,29,1,28,1,6,1,30,1,13,1,6,2,30,2,13,1,6,1,13,4,6,2,13,1,30,1,13,1,6,1,28,1,13,4,6,1,13,2,28,1,13,5,8,1,6,2,9,1,13,1,6,1,13,1,33,1,5,1,33,125,5,290,9,1,13,1,9,1,24,1,13,2,8,1,11,1,9,1,10,1,11,1,12,1,17,25,11,1,24,1,12,1,7,1,8,4,24,1,7,2,13,1,8,2,9,1,10,1,9,1,11,3,17,33,12,1,11,1,10,1,9,1,8,1,9,1,8,2,24,1,9,1,13,1,9,3,12,1,17,6,10,1,12,5,10,1,12,1,17,6,10,1,8,1,24,1,13,1,24,1,10,1,11,1,8,1,12,1,11,1,17,5,12,2,17,8,12,1,17,1,12,1,11,1,17,2,12,1,17,5,12,3,17,1,12,1,17,4,11,1,17,2,12,1,10,1,17,1,12,2,17,1,12,1,17,1,12,2,17,1,12,1,17,1,12,1,17,7,9,1,10,1,11,1,10,1,11,2,17,2,11,1,16,2,11,1,17,1,16,4,11,2,16,1,11,1,17,1,11,1,16,1,11,2,9,1,11,1,9,1,10,1,9,2,11,3,9,1,11,1,9,1,13,2,8,1,13,2,6,1,8,4,13,1,8,1,13,2,11,1,9,2,11,1,9,2,16,1,11,3,9,6,8,1,9,5,11,1,9,1,29,1,8,1,28,2,30,1,13,1,7,1,24,5,8,2,24,1,29,1,7,3,24,2,12,1,17,1,15,1,10,1,7,1,28,1,7,1,12,1,28,3,9,1,8,1,28,6,30,1,24,1,12,1,9,1,8,1,10,1,11,1,13,1,8,1,10,1,17,2,6,1,28,3,30,1,13,1,15,1,14,1,7,1,28,2,29,1,24,1,14,1,6,1,29,1,7,1,17,1,13,2,8,1,9,2,11,1,16,1,9,1,8,1,13,1,16,1,17,3,9,3,13,1,11,1,9,1,17,2,9,1,24,2,10,1,9,1,13,1,16,1,30,1,6,1,17,1,9,1,17,3,16,2,17,5,9,1,11,1,12,1,8,1,10,1,24,1,12,1,9,2,12,1,11,1,17,1,10,1,17,2,24,1,12,1,10,1,9,1,24,2,8,3,7,1,13,1,29,1,30,1,7,1,6,2,30,1,28,1,6,1,29,1,28,2,29,2,30,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,16,30,1,28,1,30,1,28,1,6,1,28,1,6,1,30,3,29,3,28,1,30,1,28,2,29,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,29,1,30,2,28,5,30,1,6,1,29,3,13,1,8,1,28,27,6,1,30,1,28,1,6,1,30,4,29,1,28,44,6,1,9,1,17,2,12,1,17,2,12,1,17,2,12,1,11,1,10,2,17,2,12,1,17,1,9,1,11,1,17,1,9,1,17,1,11,1,16,2,17,2,12,1,17,13,16,1,17,12,16,1,17,28,16,1,11,1,17,1,10,1,9,4,10,1,13,5,7,3,6,1,29,1,13,1,6,1,13,2,8,1,7,1,13,1,9,2,13,3,6,1,13,3,8,1,6,1,8,1,13,1,8,1,7,2,13,1,6,2,13,3,6,1,13,1,6,1,7,1,13,3,7,1,24,1,6,1,9,1,8,1,9,1,8,3,9,1,13,1,8,3,9,2,8,1,9,1,13,1,8,2,13,1,8,1,9,1,13,1,11,1,8,1,10,1,8,2,24,1,9,1,8,1,24,2,9,1,13,1,8,1,12,1,24,1,13,1,11,1,10,1,8,1,24,1,10,1,9,2,11,1,9,1,13,1,9,1,11,1,9,1,8,1,9,1,24,1,8,1,13,1,8,1,13,1,8,1,9,1,8,2,11,1,13,1,10,1,8,4,9,1,8,1,13,1,8,1,9,1,8,2,13,1,9,1,13,3,24,1,7,1,8,1,13,3,10,1,28,1,13,2,29,1,8,1,6,1,7,1,29,1,13,1,7,1,13,4,29,1,6,1,13,1,6,1,30,1,8,1,30,1,7,1,28,1,30,1,7,1,29,2,6,1,30,1,29,1,6,1,7,1,29,1,6,2,13,2,6,2,28,1,29,1,30,1,29,2,28,2,30,1,28,1,6,1,30,2,29,1,7,1,29,1,30,1,6,1,30,1,7,1,30,1,6,1,13,3,28,1,13,1,30,1,28,1,30,1,29,1,13,1,28,1,13,1,6,1,30,1,6,1,29,1,6,1,30,1,29,1,7,2,28,1,6,1,7,1,6,1,13,1,29,1,6,1,24,1,9,1,29,2,6,1,7,1,29,1,6,5,7,1,6,2,30,1,13,1,29,1,7,1,6,2,29,1,6,1,30,1,7,1,28,1,6,1,7,1,6,2,30,2,6,1,30,1,28,1,30,1,28,49,6,1,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,22,30,1,28,13,30,1,6,1,30,1,28,2,13,1,5,29,28,12,30,1,8,1,16,1,10,1,24,1,13,1,8,2,7,1,13,1,6,1,29,1,7,1,8,1,9,1,12,1,17,2,7,1,28,6,17,1,12,1,6,1,28,31,16,2,10,1,6,1,29,1,30,1,8,1,16,1,17,1,6,2,}, {13,1,24,1,13,1,9,2,16,1,7,1,30,1,28,5,30,2,28,1,30,1,28,4,29,1,28,1,29,1,28,1,29,1,28,1,6,1,30,1,6,1,29,2,6,2,30,2,28,10,6,1,13,1,8,2,13,1,9,2,17,1,16,1,29,3,30,2,6,1,9,2,11,2,9,1,8,1,9,1,8,1,13,1,6,1,7,1,30,1,7,1,9,2,6,1,30,1,7,1,13,1,6,1,29,1,9,1,10,1,9,1,8,3,13,3,9,1,24,1,17,2,10,1,7,1,13,1,29,1,13,1,9,2,6,1,28,1,30,1,28,2,30,1,28,14,30,2,29,1,6,3,11,1,8,4,11,1,13,1,30,1,6,4,30,1,13,1,9,1,10,1,17,2,8,2,9,1,6,1,13,1,6,1,13,1,29,1,6,1,24,1,10,1,24,1,9,1,11,2,8,1,28,4,30,1,28,4,30,1,28,5,11,1,16,3,17,1,9,4,8,1,9,1,11,1,10,1,11,1,9,1,13,1,9,1,8,2,9,3,11,1,9,1,16,1,9,3,11,1,16,1,9,3,8,1,9,1,16,1,11,1,9,8,11,1,10,1,8,1,9,1,8,1,9,1,8,1,11,1,6,2,30,1,28,2,30,1,27,2,25,1,29,1,26,1,25,1,8,2,13,1,8,2,24,1,12,1,8,1,17,1,10,1,12,3,17,1,10,1,17,1,12,1,17,3,12,1,17,1,10,1,6,1,28,47,30,1,28,3,29,1,30,1,28,6,30,1,28,5,29,1,28,4,6,1,28,1,6,1,28,1,6,1,30,1,28,1,6,1,28,1,30,1,29,1,30,1,6,1,29,1,28,1,6,3,28,2,7,1,6,1,29,1,6,1,29,2,13,1,29,1,7,1,6,2,29,1,7,1,6,1,8,2,7,1,24,1,13,1,24,4,6,1,29,1,6,1,29,1,28,53,29,1,6,1,29,2,28,1,6,1,30,1,29,1,30,1,29,3,27,1,26,1,6,3,25,2,6,1,24,2,17,1,12,2,10,1,17,6,12,1,17,1,10,1,9,1,10,2,11,1,24,1,17,3,12,1,17,1,12,1,17,1,10,1,12,1,10,1,17,5,12,1,17,1,10,1,17,2,10,1,12,1,17,1,11,1,17,3,12,2,17,3,11,1,17,2,9,1,17,1,10,1,12,1,17,3,10,1,12,1,17,2,11,1,17,5,9,1,11,1,9,1,16,1,11,1,9,1,11,2,16,3,11,1,9,4,11,2,9,2,11,2,8,1,16,1,9,1,11,1,9,2,16,1,9,3,11,1,9,2,10,1,9,1,16,2,9,1,16,1,11,1,13,1,9,3,16,1,13,3,9,3,13,1,9,2,16,1,11,2,8,1,11,1,16,1,9,1,8,1,9,1,11,2,9,1,6,1,8,1,13,1,9,1,8,1,13,1,8,1,9,3,11,1,9,1,16,1,9,2,13,1,9,1,30,1,28,21,13,1,28,53,30,2,29,1,7,1,6,1,7,1,24,2,8,1,9,2,12,2,17,4,13,1,28,65,30,2,28,2,29,1,13,1,29,1,13,1,7,1,8,1,7,1,13,1,24,1,8,1,9,2,8,2,11,1,9,2,8,1,9,2,8,1,9,1,11,1,6,1,30,2,28,1,30,1,28,1,30,1,6,2,30,3,6,1,30,1,6,1,28,3,6,3,29,1,6,1,28,1,13,2,30,1,13,2,6,2,28,1,13,2,6,1,13,1,8,1,13,1,6,1,13,2,8,1,6,1,13,1,6,1,13,1,6,3,13,2,6,1,13,2,5,1,33,1,5,1,33,124,5,289,9,2,8,1,9,1,7,1,10,1,8,1,10,1,24,1,8,1,11,1,17,8,12,2,17,1,12,1,17,1,12,1,17,5,12,1,17,8,10,1,13,1,8,1,6,1,8,6,9,1,8,1,9,1,10,1,11,1,17,1,9,1,12,1,17,30,12,2,17,1,11,1,10,2,9,2,8,1,13,1,8,2,9,1,8,1,11,2,17,7,12,1,17,1,12,1,11,1,10,1,12,1,10,1,12,1,17,6,10,1,8,2,10,1,8,1,24,1,10,2,12,1,24,1,12,1,11,1,17,3,10,1,12,1,17,5,11,1,17,6,12,1,17,7,12,1,10,1,11,1,12,1,11,3,12,2,17,1,11,1,12,3,10,1,17,5,11,1,17,6,11,1,17,1,11,2,17,1,11,3,9,1,17,1,11,1,10,1,11,1,17,2,16,1,17,1,16,1,17,1,16,5,17,1,11,1,16,1,17,1,11,1,16,1,11,2,10,1,11,1,16,1,17,1,11,1,10,1,9,2,11,1,9,2,8,1,13,2,8,2,13,1,8,2,13,1,9,1,8,1,9,1,13,1,10,1,13,1,9,5,11,1,10,3,11,1,12,1,9,2,13,1,9,2,10,1,11,2,9,1,11,1,9,4,13,1,30,1,28,1,29,1,8,1,24,1,6,1,9,2,8,1,24,1,12,1,24,2,8,1,7,1,6,2,7,2,6,1,13,1,12,1,10,1,12,1,28,1,8,1,14,1,28,3,14,1,7,1,28,5,30,1,14,1,15,1,12,1,9,1,12,1,17,1,9,2,12,2,16,1,17,1,13,1,28,5,7,1,10,1,24,1,28,2,6,1,30,1,17,1,24,1,7,1,13,1,17,2,10,1,11,1,10,1,11,1,13,1,8,1,7,1,9,1,13,1,11,1,16,1,17,9,9,1,13,2,8,2,13,2,8,1,13,1,8,1,17,1,16,4,17,6,11,2,24,1,8,1,10,1,8,1,12,3,10,2,17,1,12,1,17,2,12,2,8,1,24,1,10,1,9,1,10,2,13,2,8,1,24,1,6,4,29,1,7,2,28,1,29,1,28,1,29,1,28,1,27,1,30,1,27,1,28,2,27,1,28,1,29,1,28,1,29,1,28,12,30,1,28,4,30,1,28,1,29,1,28,1,30,1,28,3,30,1,28,1,6,1,28,1,30,1,29,1,28,1,7,1,30,1,28,1,29,1,28,3,30,1,28,1,29,1,30,1,28,1,30,1,29,1,30,1,29,1,30,1,28,1,30,1,28,5,29,1,6,1,7,1,24,1,8,1,6,1,28,26,30,2,6,1,30,1,28,1,30,1,28,44,30,1,9,1,17,1,11,1,17,1,12,3,9,3,24,1,11,1,17,1,12,2,11,1,17,1,12,2,17,2,11,2,17,1,12,3,17,1,12,1,17,1,12,1,17,4,16,1,17,7,16,1,17,4,16,1,17,1,11,1,17,16,16,1,17,24,12,1,17,2,7,1,8,2,13,3,6,1,8,1,9,1,13,1,8,1,13,2,8,2,13,1,8,1,12,1,13,2,8,1,7,1,13,5,8,2,7,1,6,1,13,1,7,2,6,1,13,3,7,1,9,1,8,2,9,1,13,1,7,1,8,1,24,1,6,1,8,1,10,1,13,2,12,1,24,1,8,1,9,3,8,1,9,1,8,1,7,1,12,1,13,1,11,1,8,1,9,1,8,1,9,4,13,1,10,1,9,1,10,1,13,1,12,1,13,1,12,1,8,1,9,1,10,1,9,3,24,1,10,1,9,1,10,1,24,1,12,1,8,1,10,1,9,1,10,1,8,1,9,1,8,1,10,1,8,1,10,1,11,1,8,1,9,2,8,1,24,1,13,1,9,1,8,1,9,1,8,1,10,1,13,1,12,1,13,1,9,1,13,1,8,2,7,1,13,1,8,3,6,1,8,1,24,1,13,1,8,1,12,1,8,1,24,1,13,1,10,1,7,1,13,1,10,1,8,1,24,1,13,3,24,1,7,1,6,3,8,1,6,1,13,1,7,2,30,1,8,1,13,1,6,1,30,1,6,1,29,1,7,1,30,1,6,1,7,1,24,1,30,1,6,1,28,1,8,1,30,1,13,1,6,1,30,1,28,1,6,1,30,1,29,1,6,1,30,2,6,1,29,1,7,1,13,1,30,1,7,2,29,1,6,2,13,2,6,1,7,1,30,2,6,1,13,1,28,1,7,1,28,1,13,1,6,1,8,1,6,2,7,1,6,3,30,1,6,2,30,1,8,1,7,1,29,1,6,1,30,1,29,1,7,2,6,1,24,1,9,1,28,1,6,1,29,1,7,1,6,1,8,1,30,1,13,1,7,2,30,1,6,2,29,1,6,1,30,1,29,2,30,1,28,1,30,2,6,1,29,1,6,1,30,1,7,2,6,1,29,1,6,1,30,2,29,1,28,52,30,1,28,11,30,1,28,30,29,1,6,1,28,2,6,1,5,29,28,12,30,1,9,1,14,1,24,1,13,2,6,1,9,1,13,1,7,1,13,1,28,1,29,1,8,1,11,1,17,1,12,1,17,1,6,1,28,6,17,1,12,1,28,32,14,1,16,1,24,1,28,1,6,1,28,1,9,1,17,1,10,1,8,1,29,1,}, {8,1,13,1,6,1,13,1,24,1,16,1,13,1,28,9,6,1,28,8,30,1,28,1,6,1,7,1,28,1,30,1,29,1,30,3,28,2,29,1,28,4,30,1,28,2,30,1,13,2,9,2,6,1,13,1,16,2,17,1,13,1,6,2,30,1,7,1,6,1,9,1,17,2,9,1,24,1,8,1,13,1,8,1,13,1,6,2,30,1,6,1,11,1,24,1,8,1,30,1,6,1,7,1,29,1,13,1,12,1,16,2,11,1,12,1,9,1,13,2,6,1,13,1,11,1,17,2,16,1,13,2,7,1,8,1,16,1,10,1,28,19,30,1,28,2,6,2,7,1,13,1,8,1,13,1,9,2,11,2,8,1,6,2,29,2,6,1,29,1,30,1,13,1,12,1,9,1,17,1,9,1,24,1,9,1,24,1,13,1,6,1,13,2,7,1,13,1,8,1,24,1,12,1,24,1,10,1,8,1,29,1,30,1,28,1,30,1,28,1,30,2,28,7,30,1,10,1,17,1,11,2,17,1,12,1,11,1,9,3,16,1,9,2,16,1,13,1,8,2,9,1,16,1,9,1,16,1,9,1,17,1,11,1,9,4,13,1,11,1,13,1,11,1,13,1,11,2,9,4,8,1,9,1,8,1,9,4,13,1,9,1,13,1,10,1,9,1,11,2,6,2,28,1,29,2,6,1,27,1,25,1,27,1,29,2,25,1,8,1,24,1,7,1,24,1,8,2,12,1,10,1,17,1,12,1,10,1,17,2,12,2,17,2,12,1,17,3,12,1,24,1,8,1,28,52,30,1,28,5,30,1,28,3,29,2,28,1,29,2,28,1,30,1,28,2,30,3,28,1,29,1,30,1,28,2,30,1,6,1,28,4,30,2,7,1,29,1,30,1,29,1,6,2,30,1,13,1,28,1,29,1,6,1,29,1,13,1,8,1,29,1,7,1,13,1,6,1,13,1,8,4,24,1,8,1,9,1,6,1,7,1,30,3,28,45,30,1,29,1,28,5,29,1,30,1,29,1,30,1,29,1,28,1,29,2,6,1,29,1,30,1,28,1,30,1,29,1,6,2,29,1,30,1,26,1,25,1,24,1,6,1,24,1,10,1,12,2,24,1,17,1,12,2,10,1,17,1,12,1,9,1,10,1,12,1,10,2,11,1,17,1,12,1,9,1,17,2,12,1,17,4,12,1,17,8,12,1,17,2,12,1,17,7,12,1,17,5,12,2,9,1,12,1,10,2,12,3,17,8,16,1,9,1,11,1,16,1,11,1,9,1,16,1,11,2,16,1,9,1,11,1,13,1,9,1,11,1,9,1,16,3,11,1,9,1,16,1,9,1,16,10,11,1,17,2,16,1,17,1,16,4,17,2,11,2,16,1,17,1,9,1,16,2,9,4,11,1,9,2,13,1,9,3,13,1,10,2,16,1,13,4,8,1,9,5,11,1,9,1,16,1,11,1,9,2,8,1,9,1,30,1,28,22,13,1,28,51,30,1,28,1,30,1,29,1,7,1,6,1,7,1,13,1,24,1,9,1,12,1,9,1,11,2,12,1,17,3,6,1,28,66,30,1,28,1,6,1,7,1,6,1,29,1,6,3,8,1,13,1,24,1,13,1,8,2,24,1,9,3,11,1,9,3,11,1,8,1,9,1,16,1,29,1,28,1,30,1,28,1,30,1,6,3,30,1,6,2,13,2,6,2,13,1,28,2,30,1,28,3,30,1,28,1,6,1,28,1,6,2,30,1,13,1,30,1,13,1,6,2,13,4,30,1,13,1,6,1,9,1,6,4,29,1,6,1,28,1,6,1,13,2,6,1,13,2,6,1,33,1,5,2,33,123,5,289,9,1,7,1,13,1,8,3,10,1,8,1,11,2,12,2,17,9,11,1,17,1,12,1,17,15,12,1,9,1,24,1,8,1,13,1,8,1,13,1,8,5,9,1,12,1,10,1,12,1,17,1,11,1,17,31,12,1,13,1,8,2,9,1,8,1,13,1,9,1,24,1,9,1,10,2,9,1,11,1,17,1,12,1,17,7,11,1,24,1,11,1,12,1,8,1,17,8,10,2,6,1,9,1,17,1,7,1,11,1,10,1,9,1,12,1,24,1,10,1,12,1,17,1,11,1,17,3,11,1,17,2,12,2,17,1,12,1,17,2,12,2,17,5,12,1,17,2,10,3,17,1,12,1,17,2,11,1,12,3,17,2,12,2,17,3,11,1,12,1,17,5,12,1,10,1,11,1,17,1,11,2,17,1,11,2,17,1,11,1,9,1,16,1,11,1,16,6,11,1,16,1,11,2,16,1,11,1,17,1,16,1,9,1,17,1,11,1,9,2,11,1,10,1,9,1,11,2,9,5,8,1,9,1,13,1,8,3,13,2,8,2,13,1,8,1,13,1,8,1,13,1,9,2,8,1,9,1,8,2,11,1,9,1,11,1,8,1,9,1,10,1,9,1,10,1,9,3,11,1,10,1,11,1,9,2,11,1,9,3,24,1,13,1,28,2,29,1,13,1,24,2,9,2,8,1,15,1,24,1,10,1,24,1,13,2,7,1,8,2,6,1,7,1,6,2,8,2,24,1,12,1,28,3,9,1,6,1,28,5,9,1,15,1,24,1,6,1,13,1,10,1,17,1,11,1,12,1,17,4,10,1,6,1,30,1,28,1,30,1,28,2,6,1,17,1,28,1,30,1,29,1,28,1,13,1,17,1,8,1,9,2,17,2,9,1,8,1,10,1,9,1,8,1,28,1,13,1,9,2,11,1,17,7,9,1,13,3,8,1,9,2,13,2,6,1,17,4,10,1,17,8,9,2,8,1,9,4,10,2,9,1,17,1,24,1,12,1,17,1,12,1,24,1,10,1,12,1,17,1,10,1,17,1,24,1,9,1,24,2,8,1,13,1,24,1,7,1,6,1,29,1,6,1,13,1,29,1,28,2,30,2,27,4,29,1,28,2,30,2,28,1,29,1,30,1,28,6,30,1,28,4,30,1,28,5,30,2,29,1,30,1,28,2,29,1,6,1,29,1,6,1,28,1,30,1,28,2,6,1,29,1,28,1,29,1,28,2,29,1,28,1,30,1,28,4,30,1,29,1,28,6,29,1,28,1,6,1,30,1,28,1,29,1,6,1,13,1,8,1,9,1,30,1,28,25,6,1,28,1,7,2,28,1,30,1,28,1,30,1,28,40,30,1,11,1,17,5,9,1,8,1,10,1,24,1,8,1,10,1,17,1,12,1,8,1,10,1,9,1,12,2,10,1,12,1,17,1,10,1,11,2,17,1,12,2,11,2,17,2,12,1,17,1,16,1,9,1,17,1,12,2,17,2,11,1,17,31,11,1,17,23,10,1,8,1,6,1,7,1,9,1,29,1,7,2,6,1,13,1,8,1,13,1,8,1,13,2,8,3,13,2,7,1,8,1,7,1,6,1,24,1,13,2,8,1,7,1,13,2,8,1,7,1,6,1,7,1,13,2,6,1,13,1,6,2,9,1,13,4,8,1,13,1,7,1,13,1,24,1,13,1,24,1,9,1,6,1,9,1,8,1,9,1,13,1,11,1,13,1,9,2,11,1,8,1,9,3,8,1,10,1,13,1,11,1,9,1,8,4,9,2,8,2,10,1,9,1,8,1,24,1,8,2,11,1,13,1,12,1,9,3,8,1,9,1,10,1,24,2,9,1,8,1,9,1,11,1,8,1,11,1,12,1,9,3,8,1,13,1,8,4,10,1,13,1,11,1,10,1,9,1,13,1,8,1,13,2,8,2,13,1,9,2,10,1,8,1,24,1,12,1,8,2,9,2,13,2,8,1,12,1,8,2,6,1,30,1,7,1,6,1,8,2,13,1,6,1,8,1,13,1,6,1,13,1,29,1,6,1,13,1,6,1,29,1,13,2,6,1,7,1,6,2,7,1,13,3,7,1,6,1,13,1,6,1,13,1,7,1,29,1,6,1,29,2,6,1,13,1,7,1,29,1,7,1,6,1,13,1,7,1,13,3,7,1,13,1,6,1,13,1,8,1,6,1,13,1,7,1,13,1,7,2,13,1,7,2,6,1,13,1,6,1,7,1,13,2,6,1,29,1,7,1,29,2,6,1,7,1,6,3,13,1,7,1,9,2,7,1,6,3,13,3,6,1,24,1,6,1,13,1,6,1,30,1,6,4,7,1,6,2,7,1,13,1,30,1,6,1,13,1,7,2,6,1,29,1,7,1,6,1,29,1,6,2,30,2,28,1,30,1,28,51,30,1,28,7,30,1,28,1,30,1,28,18,30,1,28,13,30,1,28,2,5,29,28,12,30,1,9,1,15,1,11,1,13,1,6,1,9,1,13,2,6,3,30,1,8,1,12,2,17,2,7,1,28,5,6,1,17,2,28,32,16,1,14,1,9,1,28,1,29,1,28,1,8,1,17,1,12,1,9,1,30,1,}, {8,1,13,1,8,1,7,1,9,1,17,1,8,1,30,1,28,8,6,1,28,7,30,2,29,1,6,1,28,1,30,1,6,2,28,12,29,1,30,1,6,1,30,1,24,3,13,1,11,1,17,1,9,1,6,1,7,1,13,1,28,1,6,2,10,2,12,1,10,1,9,1,8,1,10,1,13,1,6,1,29,1,30,1,6,2,9,1,17,1,8,1,6,1,28,1,29,1,30,1,6,1,11,1,17,1,11,2,24,1,8,1,13,2,8,3,11,1,17,1,16,1,24,1,13,1,7,1,13,1,11,1,10,1,28,12,30,1,28,8,30,1,29,2,30,1,6,1,8,1,9,4,17,1,9,1,6,1,13,1,29,1,6,1,13,1,30,2,13,1,12,1,17,2,11,1,9,1,24,1,9,1,8,2,13,1,6,2,8,1,24,2,17,1,10,1,9,1,8,1,30,2,28,2,30,2,28,5,30,2,28,2,9,1,12,2,10,2,11,1,9,1,11,2,9,2,10,2,9,2,12,1,9,2,11,1,9,1,16,1,10,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,13,1,9,1,13,1,9,1,16,1,9,1,11,1,9,1,8,1,11,2,12,2,9,1,7,1,29,1,30,1,28,2,30,1,29,1,30,2,26,1,27,1,6,1,29,1,6,1,24,2,8,1,10,1,12,1,9,2,17,11,10,1,12,1,17,1,12,1,6,1,28,47,30,1,28,1,6,1,28,1,29,1,30,3,28,2,30,1,28,3,29,1,28,1,29,3,30,1,28,1,30,1,29,1,6,1,28,1,7,1,30,2,29,1,30,1,6,1,28,1,8,1,30,1,6,1,29,2,6,2,30,1,29,2,6,1,30,1,8,1,6,2,30,1,6,1,30,1,7,2,6,2,7,1,13,1,7,1,8,1,7,2,24,2,8,2,24,1,6,1,7,1,29,1,30,2,28,43,30,1,28,1,30,1,28,7,30,1,28,1,30,1,29,1,28,1,29,1,30,1,29,3,7,1,8,1,6,2,26,1,25,1,24,2,8,1,29,1,7,1,24,1,10,2,12,3,17,3,10,1,9,1,24,1,10,1,24,1,10,1,17,2,12,1,9,1,17,1,11,1,12,1,17,1,12,1,17,14,10,1,17,2,12,1,17,3,11,1,17,1,12,1,17,1,11,1,17,3,11,1,12,1,17,1,12,3,9,1,17,1,9,1,17,2,11,1,17,5,16,1,9,1,16,1,9,1,11,2,17,1,11,1,16,1,11,1,16,1,11,1,9,2,13,1,9,6,11,1,9,1,16,6,9,1,16,4,11,1,16,4,17,1,16,2,11,1,16,1,11,1,16,2,10,1,17,1,16,1,10,1,17,1,16,5,9,1,16,1,11,1,13,2,6,1,13,1,8,1,9,1,13,7,8,1,9,8,16,1,6,1,28,23,7,1,28,51,30,3,29,1,6,2,8,1,24,1,9,1,10,1,12,1,9,1,12,1,17,4,13,1,28,68,30,1,7,1,30,1,28,1,29,1,6,1,29,1,8,1,13,1,7,1,24,1,13,1,9,5,11,1,9,1,10,1,9,1,11,2,10,1,16,1,11,1,6,1,29,1,30,1,6,3,30,1,13,1,6,1,13,1,6,2,8,1,13,1,30,1,6,1,28,2,6,1,30,1,6,2,30,1,6,2,30,1,6,1,28,1,30,1,28,2,6,1,30,1,6,1,28,1,30,1,6,1,30,1,13,1,6,1,29,1,6,1,13,1,30,2,29,1,30,1,28,1,13,1,28,1,13,1,6,1,8,1,29,1,13,4,5,2,33,1,5,1,33,121,5,289,13,1,7,1,24,1,13,2,8,1,9,2,10,1,17,1,12,4,17,5,11,1,12,1,17,1,12,1,10,1,11,1,17,15,12,1,8,2,13,2,9,1,13,3,9,1,13,1,9,1,11,2,17,1,11,1,17,1,11,1,17,29,12,1,8,2,9,1,13,1,9,2,8,2,24,1,9,1,24,1,11,1,10,1,17,9,11,2,9,1,10,1,12,1,10,1,12,1,17,6,12,1,11,1,9,1,24,1,13,1,10,2,24,1,9,1,10,1,11,1,9,2,17,1,12,1,17,3,12,1,17,1,12,1,11,1,12,1,17,1,11,1,17,11,12,2,11,1,12,1,11,1,9,1,12,1,17,3,11,1,12,1,10,1,17,1,12,1,9,1,12,1,17,2,11,1,17,3,12,1,17,3,12,1,11,1,12,1,10,1,11,1,17,2,9,1,17,2,16,2,11,1,17,1,11,1,16,1,11,1,16,7,10,1,17,2,11,2,9,1,16,1,17,1,16,1,11,1,9,2,11,1,9,4,8,1,9,1,13,3,8,1,13,1,8,1,6,1,13,1,8,1,13,1,7,1,13,2,9,2,13,1,8,1,9,3,8,2,9,4,10,2,9,1,10,1,9,5,11,2,10,1,11,1,9,3,6,1,28,2,30,2,8,1,24,1,10,1,8,1,10,1,13,1,12,1,8,3,30,1,8,1,17,1,10,1,15,1,13,1,29,1,6,1,13,1,24,1,8,1,6,1,28,2,24,1,28,5,29,1,15,1,8,1,29,1,6,1,13,1,9,2,16,1,17,3,16,1,17,1,9,1,11,1,9,1,29,1,28,1,7,1,8,1,12,1,9,1,13,1,28,3,30,1,17,2,8,1,9,1,11,1,17,2,10,1,11,1,17,3,16,1,11,1,16,1,8,1,17,7,30,1,6,2,13,1,6,1,13,1,8,2,6,1,9,1,17,13,10,1,8,1,9,1,8,1,9,1,24,1,8,1,13,1,10,1,24,1,8,1,11,1,17,1,8,1,17,1,24,1,17,1,24,1,17,1,9,1,24,1,10,1,9,1,12,2,24,1,8,1,9,1,13,1,24,2,6,1,29,1,25,1,29,1,27,2,30,1,28,1,30,1,28,3,29,1,28,3,30,1,28,4,30,1,28,1,30,1,28,6,6,1,28,4,29,1,28,1,30,1,29,1,28,1,30,1,6,1,30,1,29,1,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,28,3,29,1,28,1,6,1,28,5,30,1,28,5,30,1,29,1,30,1,29,1,28,1,6,1,13,1,10,1,13,1,24,1,6,1,28,1,30,2,28,21,29,1,30,3,28,42,30,1,13,1,12,2,17,2,12,1,10,1,9,1,8,1,24,1,12,1,24,1,8,1,24,2,9,1,12,3,10,3,17,1,12,1,17,2,10,1,17,1,12,1,10,2,12,1,17,1,10,2,11,1,12,1,11,3,17,1,12,1,17,5,16,1,17,6,11,1,17,2,16,1,11,1,17,3,11,1,17,1,16,1,17,4,11,1,17,21,16,1,17,5,11,1,17,2,11,1,9,1,7,1,13,1,6,2,7,1,29,1,30,1,6,1,13,4,9,1,8,1,9,1,7,1,9,1,8,2,13,2,8,2,7,1,13,1,7,1,13,4,30,1,13,3,8,1,7,1,13,2,7,1,29,1,9,1,8,1,13,1,24,1,7,1,10,2,8,2,6,1,13,2,9,2,8,1,10,1,13,1,9,2,8,1,24,1,9,2,13,2,9,2,11,1,8,1,9,4,10,1,9,1,24,1,8,1,9,1,13,1,9,1,8,2,9,3,17,2,8,1,11,1,8,1,13,1,11,1,10,1,9,1,8,1,9,1,13,1,9,2,8,1,9,1,13,1,10,1,8,1,9,1,13,1,8,1,9,1,10,1,8,1,9,1,12,1,8,1,9,2,8,1,9,1,13,1,9,1,13,1,8,1,12,1,8,3,13,1,9,2,13,1,10,1,13,1,11,1,9,3,8,1,11,1,8,2,24,1,9,4,13,3,24,2,7,1,8,1,13,3,8,1,6,2,13,1,6,1,7,1,13,1,9,1,13,1,17,1,24,1,7,1,13,1,7,1,24,1,6,1,7,1,13,1,6,1,7,2,30,1,6,2,7,1,29,2,6,1,7,2,8,1,29,1,13,1,7,1,6,1,8,1,6,1,13,1,8,1,13,1,7,1,6,1,13,1,8,1,7,1,24,1,8,1,7,1,8,1,29,1,13,1,8,1,13,2,29,1,6,2,13,1,29,1,7,1,6,2,13,3,17,1,13,1,30,1,6,1,8,1,7,2,13,2,8,2,7,2,29,1,7,1,6,1,29,1,13,1,6,1,29,1,13,1,30,1,6,4,13,1,29,1,6,1,8,1,6,2,13,1,7,2,6,1,30,2,28,53,30,1,28,6,30,1,28,1,29,1,28,2,30,1,28,29,30,1,29,1,6,1,28,1,5,29,28,12,6,1,11,1,12,1,9,2,13,3,8,1,6,1,7,1,29,1,6,1,8,1,17,1,12,1,17,2,28,7,17,1,12,1,28,32,15,1,10,1,9,1,28,1,30,2,24,1,10,1,8,1,7,1,6,1,}, {6,1,13,2,8,1,9,1,16,1,8,1,30,1,28,7,30,1,6,1,28,6,30,2,6,2,30,1,13,1,28,1,30,1,28,1,30,1,28,1,30,1,28,8,30,1,29,1,28,1,6,1,13,1,7,1,13,2,8,1,11,1,17,1,12,1,8,1,29,1,13,1,29,1,13,1,6,1,9,1,11,1,12,1,9,1,8,2,7,1,8,1,13,3,6,1,7,1,11,1,10,1,13,1,6,1,7,1,28,1,6,1,29,1,9,1,10,1,12,1,11,1,10,1,7,1,8,1,6,1,8,3,17,2,16,1,8,1,6,1,13,1,8,1,15,1,10,1,30,1,28,21,30,2,7,1,13,2,9,1,8,1,10,1,17,2,9,1,28,1,6,3,13,1,29,1,6,1,7,1,12,1,17,3,24,1,8,2,13,1,6,1,13,1,7,1,13,1,7,1,8,1,13,1,10,2,12,1,24,1,6,1,28,4,30,3,28,6,29,1,8,1,17,1,12,1,16,1,11,1,17,1,9,2,8,1,10,1,9,2,11,1,8,1,11,1,9,1,8,1,9,1,13,1,9,3,10,1,8,1,9,1,8,1,9,1,8,1,9,2,13,2,11,1,13,1,8,1,9,1,13,1,9,1,16,1,13,1,11,1,13,1,8,1,9,2,10,2,9,5,13,1,7,1,28,2,30,2,27,1,29,1,27,1,29,1,6,2,25,1,8,2,13,1,24,3,10,2,24,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,12,2,24,1,12,1,11,1,29,1,28,37,30,1,28,11,30,1,7,1,29,1,30,1,29,1,28,1,30,1,29,2,30,1,28,1,30,2,6,1,28,2,6,1,8,1,30,1,28,1,29,1,30,1,29,1,28,1,30,1,29,1,28,1,6,1,29,1,28,2,29,1,30,1,29,1,6,1,28,1,7,1,29,1,6,1,7,1,29,1,30,1,29,1,8,1,28,1,6,2,13,2,29,1,13,2,8,1,7,1,13,1,8,1,7,1,8,2,24,2,8,2,29,1,6,1,28,1,30,1,28,39,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,1,29,3,30,2,26,1,28,1,6,1,30,1,28,1,29,1,30,1,29,1,25,1,6,1,27,1,25,1,6,1,8,1,24,1,8,2,24,2,17,1,24,1,17,1,9,1,12,2,13,1,9,1,8,1,10,1,24,1,17,2,10,1,17,2,12,2,17,3,11,1,17,3,11,1,17,11,10,1,17,4,12,1,17,1,12,1,17,1,12,1,17,2,10,1,17,1,9,1,10,1,11,1,10,1,12,2,11,2,17,1,9,1,17,6,16,1,11,1,16,1,9,1,11,1,9,2,8,1,11,1,9,1,16,1,6,1,11,1,8,1,9,5,8,1,9,1,8,1,9,2,16,1,9,2,13,1,9,1,11,1,16,1,9,1,11,1,16,1,9,2,11,1,9,1,11,2,13,1,16,3,11,1,16,2,9,1,11,1,16,3,17,1,11,1,17,1,16,4,11,1,16,1,17,2,16,1,11,1,8,1,9,1,13,1,9,1,13,1,9,2,8,1,9,4,11,1,9,4,13,1,28,24,13,1,28,52,30,1,29,2,7,2,13,1,8,1,11,1,24,1,10,1,11,1,12,3,17,1,13,1,28,69,7,1,29,2,30,3,13,1,6,2,13,1,8,3,9,1,24,1,10,1,9,3,11,1,10,1,9,5,13,2,28,2,6,1,29,1,6,1,13,1,6,1,13,4,7,1,13,1,6,3,30,3,29,1,30,1,6,1,28,1,13,1,28,1,30,2,6,1,28,2,29,1,6,1,30,1,6,1,28,1,6,2,30,1,28,1,30,1,13,1,6,1,13,1,6,1,13,1,28,1,13,1,6,2,29,1,6,2,13,3,9,1,13,2,5,1,33,1,5,1,33,122,5,288,9,1,13,1,6,1,8,1,9,1,8,1,9,1,12,1,10,1,9,1,12,4,17,5,12,1,9,2,12,2,10,1,17,3,12,1,17,3,12,1,17,5,11,1,17,1,12,1,10,1,9,1,7,1,8,5,9,1,13,1,12,1,11,1,12,1,17,31,11,1,10,1,9,2,8,1,24,1,8,1,24,1,9,2,8,1,9,1,10,2,17,9,12,2,17,1,10,1,24,1,12,1,9,1,10,1,24,1,12,1,17,6,10,1,8,1,11,1,12,1,9,1,11,1,8,1,10,1,9,1,10,1,12,1,17,1,11,1,10,1,12,2,17,4,11,2,12,1,17,6,12,1,17,3,12,1,17,1,12,2,17,1,10,1,9,1,12,1,17,3,12,3,17,1,11,3,17,4,11,1,17,2,12,1,11,1,17,2,9,2,17,8,11,2,10,1,16,1,11,4,9,2,11,1,16,1,17,1,16,3,11,1,10,2,16,1,9,1,11,2,13,1,9,2,11,1,8,1,9,3,13,1,9,1,13,1,8,1,7,1,13,1,8,1,13,4,6,1,13,2,8,1,13,2,8,1,9,2,13,1,9,1,8,1,13,1,9,1,10,1,9,1,11,1,9,1,11,1,10,1,9,1,12,1,8,1,11,1,9,1,11,2,9,2,10,1,9,3,29,1,28,3,30,1,13,1,12,1,13,1,8,2,10,1,8,1,13,1,9,1,28,1,24,1,8,1,9,1,12,1,28,2,24,2,13,1,24,1,13,1,29,1,28,1,6,1,28,6,6,1,30,2,28,1,7,2,13,1,12,1,17,3,16,2,17,1,9,1,17,5,11,1,16,1,17,1,11,1,17,1,10,1,16,1,17,1,16,1,12,1,9,2,17,2,16,1,17,15,16,1,17,1,11,1,9,1,11,1,10,1,16,2,12,1,16,1,17,3,11,1,17,8,9,1,24,2,8,1,12,1,8,1,24,1,8,1,12,1,17,2,10,1,17,1,10,1,12,1,24,1,17,1,12,4,17,1,12,1,17,1,12,1,10,1,17,1,7,1,12,1,13,1,24,1,6,1,7,1,6,2,29,1,25,2,27,2,30,1,28,1,29,1,30,1,28,3,30,1,28,2,30,1,28,11,29,1,28,2,30,1,28,1,29,1,28,3,30,4,28,1,30,1,28,1,6,1,28,2,29,2,6,1,30,1,29,2,28,2,30,2,28,1,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,2,30,2,29,1,30,1,28,1,7,1,29,1,30,1,7,1,30,1,6,1,7,1,6,1,30,2,28,21,6,1,28,1,29,1,28,2,30,1,28,38,6,1,9,1,10,1,9,1,17,2,10,1,24,1,13,1,7,1,29,1,30,1,7,1,13,1,8,1,6,1,10,1,8,1,9,2,10,1,12,2,17,1,11,1,9,1,17,4,12,1,17,2,12,2,17,1,10,1,12,1,17,2,16,1,9,2,17,4,16,1,17,1,11,1,17,6,11,1,17,1,11,1,17,3,12,1,17,41,9,2,6,1,13,1,7,2,6,1,7,2,8,1,13,1,8,1,6,1,8,2,13,5,8,1,13,3,8,2,6,3,7,1,13,4,6,1,8,1,6,1,13,1,6,1,8,1,10,1,13,2,9,2,6,1,13,1,24,2,9,1,8,1,13,1,8,4,7,1,8,1,9,1,10,1,24,1,9,2,13,1,8,3,11,1,8,1,9,1,13,1,11,1,10,1,13,1,12,1,8,2,11,1,12,1,8,1,12,1,9,1,11,1,13,1,10,1,9,1,10,1,13,1,17,1,11,1,10,1,9,1,8,1,9,1,10,2,9,1,11,1,13,1,9,1,10,1,11,1,13,1,8,1,12,1,13,1,9,2,12,1,11,1,8,1,9,1,8,1,12,1,8,2,9,1,10,1,8,1,11,1,24,1,9,1,8,2,10,2,9,2,13,1,10,1,24,1,13,1,9,1,13,2,17,1,12,1,8,1,13,1,8,1,13,1,8,1,7,1,9,1,8,1,13,1,8,1,13,1,6,1,11,1,24,1,8,2,13,1,6,1,13,2,9,1,24,1,9,1,7,1,24,1,9,1,8,1,11,1,8,1,13,1,6,1,7,1,13,1,6,1,13,1,8,1,7,2,13,2,30,1,24,1,28,1,7,1,13,1,6,1,8,1,13,1,6,1,8,2,13,1,7,1,8,1,13,1,8,1,29,1,13,1,8,1,13,2,10,1,13,1,9,1,6,1,13,1,6,1,7,1,13,1,7,4,13,2,7,1,13,2,8,1,6,1,13,1,9,1,17,1,7,1,28,1,7,2,8,1,13,2,6,1,13,4,29,1,13,1,28,1,7,1,13,1,28,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,7,1,13,1,6,1,28,56,30,1,28,3,7,1,30,2,6,1,28,1,30,1,29,1,28,1,30,1,28,7,30,1,28,14,30,1,28,1,30,1,28,6,13,1,6,1,5,29,28,13,14,1,12,1,16,1,9,1,8,1,24,1,13,2,29,1,6,1,30,1,13,1,9,2,10,1,17,1,9,1,30,1,28,5,29,1,17,1,11,1,28,31,30,1,14,2,8,1,29,1,28,1,29,1,8,1,17,1,8,1,13,1,7,1,}, {6,1,13,2,6,1,8,1,17,1,8,1,30,1,28,17,30,3,28,1,13,2,6,1,7,1,30,1,28,1,29,1,30,1,28,4,30,1,28,2,6,1,28,1,29,1,6,1,8,1,9,1,24,1,9,1,12,1,17,1,11,1,13,1,29,2,6,3,24,1,12,1,17,1,9,1,13,1,24,1,9,2,8,1,6,1,13,1,30,1,13,1,12,1,11,1,6,1,7,1,6,1,30,1,7,1,29,1,13,1,9,3,8,1,13,1,7,1,9,1,8,2,11,1,17,1,16,1,9,1,24,1,6,2,8,1,12,1,14,1,29,1,30,1,28,11,6,1,28,7,30,1,29,1,30,1,6,1,13,2,9,2,10,1,11,2,9,1,6,3,29,1,6,1,29,1,6,1,13,1,12,1,17,2,14,1,8,1,9,1,8,1,9,1,8,1,7,4,9,1,8,1,9,1,17,1,15,1,8,1,6,1,28,1,30,1,28,1,30,1,6,2,30,1,28,7,9,1,12,1,10,1,11,3,9,2,12,1,9,1,11,1,9,2,10,1,9,1,8,2,11,2,8,1,13,1,8,2,11,2,9,3,13,2,11,1,13,1,9,2,11,1,10,1,8,1,13,1,9,1,13,1,9,3,8,1,9,2,8,1,9,2,10,1,11,1,8,1,7,1,13,1,28,1,30,2,27,1,30,1,29,1,25,1,6,2,25,1,27,1,8,1,25,1,7,1,24,1,13,1,8,1,9,2,17,1,10,1,17,2,12,1,17,4,12,1,17,2,9,1,12,1,10,1,12,1,16,1,29,1,28,43,30,1,28,4,30,1,28,2,6,1,30,1,29,1,28,1,29,2,28,2,6,1,28,1,6,1,29,1,6,1,29,1,30,2,6,2,28,1,30,1,6,1,28,2,6,2,29,5,6,2,30,1,29,1,28,1,30,1,6,2,29,1,6,2,7,1,6,3,13,1,6,1,7,1,6,1,7,1,13,2,7,2,9,1,8,3,24,3,13,1,6,1,30,1,28,43,30,1,28,1,30,1,28,3,29,1,28,1,29,1,28,1,29,1,30,1,28,1,30,1,28,1,6,1,28,1,29,2,6,2,7,1,25,1,7,1,30,1,7,1,8,1,24,1,26,1,24,2,8,1,24,1,10,1,8,1,12,1,8,1,17,1,12,1,10,1,17,1,11,1,12,1,17,2,24,1,12,1,9,1,12,2,10,1,17,1,12,1,17,21,12,1,10,1,17,4,12,1,17,3,10,1,17,2,10,1,12,2,11,1,10,1,12,1,17,1,12,1,17,1,11,1,17,1,12,1,17,3,16,3,11,1,9,1,16,1,11,2,9,2,8,1,13,1,9,1,13,1,9,1,13,4,8,1,13,2,9,1,13,2,11,1,9,7,13,1,16,1,11,1,9,1,11,1,16,1,17,1,11,1,9,1,16,1,11,1,13,1,9,1,13,1,11,1,9,3,11,3,16,4,11,2,16,1,17,1,16,2,9,3,11,1,16,1,11,1,9,1,16,1,11,2,16,1,9,3,8,1,9,1,10,1,8,1,28,25,29,1,28,51,29,1,30,1,29,1,6,1,7,1,8,2,9,2,10,1,9,1,10,1,17,3,10,1,28,66,6,1,28,1,29,1,28,3,30,1,29,1,30,1,13,1,28,1,6,1,7,1,8,1,13,1,9,1,6,1,12,1,9,1,10,2,11,1,10,2,9,2,11,1,8,1,9,2,6,1,28,1,13,1,6,2,30,1,13,3,30,1,13,1,6,1,13,2,6,1,29,1,30,1,13,1,30,1,9,1,28,1,6,1,30,1,13,1,29,1,6,3,13,1,30,1,13,1,29,1,6,1,13,1,6,1,13,1,28,1,6,1,30,1,28,1,29,1,6,1,28,2,30,1,6,5,13,1,30,2,6,1,13,1,6,1,13,1,9,1,13,1,7,1,13,1,9,1,13,2,5,1,33,121,5,288,9,1,13,3,8,1,9,1,17,1,13,1,12,1,17,1,12,1,17,6,11,1,12,1,17,1,12,1,11,1,9,3,17,2,10,1,17,10,10,1,12,2,17,1,12,2,8,1,24,1,13,1,8,3,9,1,11,2,17,20,12,1,17,6,12,1,17,3,10,2,8,1,13,2,9,1,8,2,9,1,13,1,11,1,8,1,9,1,11,1,12,1,17,9,11,1,10,2,9,1,12,1,9,1,12,1,8,1,12,2,17,5,12,2,9,1,24,1,12,1,8,1,9,2,24,1,10,1,17,1,10,1,12,3,17,3,11,1,17,2,12,1,17,5,12,1,17,4,12,2,17,1,12,1,17,1,11,1,17,1,12,2,17,2,12,1,17,2,12,3,17,1,12,1,17,1,12,2,17,1,12,1,17,3,12,3,11,1,9,1,11,1,10,1,11,1,17,1,12,1,17,3,11,1,16,1,17,1,10,1,9,2,11,1,16,1,9,1,11,3,16,1,11,1,16,2,11,1,16,2,11,1,9,1,11,1,13,2,9,1,11,1,8,1,9,2,13,1,9,1,13,1,9,1,13,1,8,4,13,3,8,1,13,4,7,1,13,1,9,1,8,1,9,1,13,1,9,4,10,1,8,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,10,2,9,6,12,1,16,1,9,1,7,1,13,1,30,1,28,1,7,1,16,1,9,1,11,2,13,1,6,1,13,1,7,1,24,1,13,1,30,1,10,1,6,2,8,1,24,1,8,2,13,1,29,1,28,1,7,1,28,11,6,1,13,1,10,1,17,1,16,1,17,1,16,1,9,1,17,2,13,1,8,1,6,3,10,1,16,1,11,1,17,7,16,3,11,1,17,28,12,1,11,2,9,2,17,4,11,1,9,1,10,1,24,1,8,1,7,1,24,1,8,1,12,1,8,1,10,1,17,1,12,1,9,2,12,1,24,1,10,1,9,1,17,1,9,1,12,1,9,1,12,4,24,1,9,1,12,1,9,1,24,2,13,1,6,1,8,1,6,1,27,1,29,1,30,1,29,1,28,2,30,1,28,6,30,1,28,10,29,1,6,1,28,4,30,1,29,1,28,1,6,2,29,1,30,1,28,2,29,1,30,1,28,3,30,2,29,1,28,1,30,2,28,7,30,1,28,2,30,1,28,5,29,1,30,1,28,3,29,1,6,1,29,1,6,1,28,1,30,3,13,1,8,1,7,1,13,1,6,1,28,19,29,1,28,1,30,1,28,40,29,1,7,1,8,1,11,1,12,2,11,1,9,1,24,3,8,1,10,1,13,1,7,1,13,1,8,2,24,1,10,1,17,1,8,1,17,1,10,1,24,1,9,1,17,1,12,1,17,1,12,1,9,1,10,1,17,1,9,1,11,1,17,1,12,1,10,1,12,1,9,1,11,1,9,1,17,1,10,2,11,1,17,1,12,1,17,3,16,1,17,4,11,1,12,1,17,3,9,2,17,1,12,1,16,1,17,1,12,1,17,2,16,1,17,2,16,1,17,5,16,1,17,3,11,1,17,3,9,1,16,1,17,7,16,1,17,9,12,1,17,1,13,1,30,2,13,1,28,1,6,1,13,1,7,1,6,1,9,2,8,3,13,1,9,1,13,1,8,1,7,1,13,1,8,1,13,6,29,2,6,1,7,1,13,1,6,1,13,1,30,1,13,2,7,1,13,2,9,1,8,2,13,2,24,1,13,1,8,2,13,2,7,1,9,2,8,5,11,1,8,1,9,1,8,2,9,1,10,2,9,1,17,1,11,1,8,1,13,1,9,2,12,1,8,1,11,1,10,1,9,1,11,2,10,1,17,1,9,1,10,1,12,1,8,3,12,1,8,1,9,1,11,1,10,1,13,1,8,1,10,1,9,1,8,1,10,2,12,1,8,1,24,1,8,3,11,1,10,1,9,1,10,2,24,1,9,1,13,1,12,1,13,1,9,2,8,1,9,1,8,2,9,1,10,2,9,1,8,1,11,1,9,1,10,1,11,1,17,1,8,1,9,1,10,1,8,1,10,1,9,1,13,1,9,1,24,1,9,1,13,1,8,1,10,1,8,1,9,1,13,1,8,1,24,1,8,1,9,1,11,1,8,2,9,1,13,1,9,1,8,2,13,1,10,1,9,2,8,2,13,1,24,1,13,3,8,1,9,2,7,1,13,1,7,1,13,2,8,1,7,1,9,1,24,1,13,4,24,1,13,1,24,1,13,1,8,1,13,1,9,1,6,1,13,1,8,4,13,1,6,1,24,1,7,1,8,1,6,1,13,2,6,1,13,1,8,1,13,1,8,2,11,1,17,1,8,1,7,1,13,3,8,1,13,1,8,1,7,1,13,1,8,1,6,1,13,1,7,1,8,1,24,1,9,1,29,1,13,1,29,1,6,1,29,1,6,1,7,1,6,2,28,1,13,1,7,1,30,1,6,1,29,1,13,1,7,1,6,1,28,53,30,1,28,1,29,1,28,1,30,1,28,2,29,1,30,1,6,1,29,1,6,2,30,1,28,1,7,1,6,1,28,1,6,1,28,2,30,2,28,14,6,2,28,1,29,1,6,1,28,1,30,1,28,3,6,1,13,1,5,29,28,12,13,1,14,1,15,1,11,1,8,1,24,1,8,2,13,1,7,1,29,1,7,1,8,1,9,1,11,1,17,1,11,1,8,1,28,6,6,1,17,1,24,1,28,32,11,1,14,1,7,1,6,1,28,1,29,1,9,1,15,1,24,1,8,1,24,1,}, {6,1,29,1,6,1,29,1,6,1,17,1,11,1,28,9,6,1,30,1,28,8,30,2,6,1,30,1,28,1,29,1,30,3,28,1,6,1,28,6,6,1,28,1,30,1,6,1,8,1,13,1,9,2,13,1,10,1,17,1,12,1,9,1,29,1,13,1,6,2,13,1,7,1,9,1,17,1,9,1,13,1,24,1,9,1,13,1,6,1,8,1,13,1,7,1,6,1,17,2,8,1,7,1,29,1,30,1,6,2,9,1,24,1,9,1,8,1,13,1,8,1,13,1,24,1,8,2,9,1,17,3,9,1,29,2,6,1,10,1,16,1,6,1,28,9,30,1,28,6,29,1,28,2,30,1,28,2,6,2,8,2,9,1,8,1,9,2,12,1,9,1,6,1,28,1,30,1,6,1,28,1,6,3,17,2,14,1,17,1,9,1,10,1,13,2,7,1,6,3,7,1,9,3,10,1,14,1,9,1,29,1,28,2,30,3,29,1,30,1,28,6,30,1,9,1,12,1,17,1,8,1,11,1,9,1,12,1,10,1,9,1,11,1,9,2,10,1,8,1,9,1,13,1,9,1,11,1,9,2,11,1,8,1,9,1,11,1,9,1,16,1,13,1,8,1,9,6,13,1,9,3,8,1,9,2,13,1,9,2,11,1,17,1,11,1,9,1,11,1,16,1,10,1,9,1,6,2,28,2,30,2,27,1,26,1,27,1,6,1,25,1,7,1,8,1,25,2,13,1,24,1,7,1,24,1,9,1,17,1,10,1,17,6,12,1,17,1,12,3,17,1,10,1,12,1,10,1,11,1,12,1,28,39,30,2,28,9,7,1,29,1,28,1,7,1,30,2,28,1,30,2,29,1,6,2,7,1,28,1,13,1,6,1,30,1,29,1,7,1,28,1,7,1,28,1,29,2,28,1,7,1,6,1,30,1,8,1,28,1,29,1,7,1,28,1,30,2,8,1,6,1,13,2,29,1,7,1,28,1,13,1,7,2,29,1,7,4,9,1,7,1,6,1,7,1,24,1,13,1,24,1,8,2,9,1,8,1,24,1,8,1,6,2,28,1,30,1,28,1,30,1,28,38,30,1,28,1,30,1,29,1,28,3,30,1,28,3,30,1,29,1,7,1,6,1,27,1,29,2,30,1,29,5,13,1,6,1,8,1,6,2,8,1,7,2,13,1,24,1,7,1,24,1,9,1,12,1,10,1,17,2,24,1,11,1,10,1,9,1,10,2,17,1,12,1,10,1,17,5,11,1,17,8,16,1,17,12,12,1,17,1,12,1,17,6,12,2,10,1,11,1,12,1,11,1,17,1,10,1,11,1,17,1,11,1,17,7,16,5,11,1,16,1,11,1,13,1,11,1,9,1,13,1,8,1,11,1,9,3,16,1,9,1,16,1,9,2,11,1,16,1,9,1,16,1,9,1,8,1,11,1,9,2,16,1,9,1,16,2,11,1,16,1,11,2,16,1,11,1,16,2,11,1,16,1,11,2,9,1,17,1,11,1,9,3,16,1,11,1,9,2,10,1,9,4,16,1,11,1,16,1,11,1,9,1,11,1,9,2,10,1,9,3,11,1,9,2,8,2,9,1,28,78,30,2,7,2,8,1,13,1,8,1,10,1,9,1,10,2,11,1,17,2,13,1,28,69,30,1,28,4,30,3,29,1,6,2,8,1,13,2,24,2,9,1,24,1,11,1,8,1,9,1,8,1,10,2,9,1,17,1,9,1,13,1,6,1,13,1,30,2,6,1,30,1,13,5,30,1,9,1,6,1,13,3,6,2,13,2,30,1,29,1,6,1,30,3,6,1,28,2,30,1,6,1,30,1,9,1,6,2,29,2,6,1,30,1,6,1,28,1,6,2,30,2,28,1,6,2,30,1,6,1,13,1,28,1,30,1,6,1,13,1,6,1,13,3,7,1,13,3,6,1,33,2,5,1,33,119,5,287,9,1,13,1,9,1,8,4,13,1,10,1,11,1,17,6,12,1,17,1,12,1,17,1,10,1,9,1,10,1,11,1,12,3,17,2,12,1,17,9,12,2,17,1,12,3,10,1,13,1,8,1,13,1,9,2,10,2,11,1,17,5,10,1,17,13,12,1,17,8,12,2,11,1,8,1,13,2,8,1,13,1,24,1,10,2,9,1,10,1,9,1,8,1,17,10,12,1,11,1,12,2,10,1,8,1,12,1,11,1,9,1,12,2,17,6,12,1,8,2,24,1,8,3,10,1,12,1,8,1,17,1,9,1,10,1,12,2,17,8,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,3,12,1,17,1,12,1,11,1,17,2,12,2,17,2,12,1,17,1,11,1,12,1,17,1,11,1,12,2,17,5,12,1,17,3,12,1,11,1,10,2,17,1,9,1,17,2,11,1,17,3,16,1,17,1,11,1,16,1,17,1,16,1,17,1,11,2,16,5,11,1,16,2,11,1,10,1,11,1,9,2,13,1,9,1,16,1,9,2,11,1,9,2,13,1,9,2,13,1,9,1,13,1,8,1,13,1,8,1,6,1,7,1,13,2,6,2,9,1,8,2,13,2,9,1,10,1,8,3,9,2,10,2,11,4,9,1,10,2,11,2,9,1,11,2,9,1,11,1,9,1,10,1,11,1,9,2,11,1,9,1,17,1,11,1,13,1,16,1,7,1,9,2,17,1,6,1,8,1,24,1,13,1,8,1,24,1,8,1,28,1,7,1,8,3,7,1,13,1,8,1,24,1,28,6,30,1,28,1,30,2,7,2,10,2,7,1,8,2,11,1,17,2,9,1,8,1,12,1,10,1,9,3,11,1,16,1,17,6,16,1,17,30,11,1,12,1,10,1,9,2,17,2,12,1,17,1,11,1,12,1,11,1,10,1,24,1,9,1,12,2,13,1,24,1,12,1,17,2,8,1,17,1,12,2,9,1,10,2,9,1,8,1,17,1,12,1,11,1,9,1,17,1,24,1,9,1,12,2,10,1,24,1,8,2,6,1,13,1,6,2,30,1,29,1,30,1,28,1,29,1,28,9,30,1,28,8,29,1,28,1,30,3,29,1,6,1,28,1,29,1,30,1,29,1,28,1,30,1,29,2,28,4,29,2,30,2,6,1,28,1,29,1,28,1,30,1,29,1,28,2,29,1,28,7,30,4,29,1,28,1,30,2,28,2,29,1,25,1,30,2,28,1,30,2,28,1,6,1,29,1,6,2,13,1,7,1,29,2,28,16,7,1,6,1,30,1,28,35,30,1,28,1,13,2,10,1,16,2,17,1,10,1,12,1,8,1,7,1,6,1,24,1,6,1,13,1,6,1,7,1,25,1,24,2,8,1,24,1,12,6,17,1,24,1,12,1,10,1,11,1,17,1,12,1,17,1,10,1,12,1,10,1,12,1,10,1,11,1,17,1,11,1,12,1,10,2,17,1,11,1,17,4,12,1,17,5,10,1,12,1,9,1,12,1,11,1,17,6,9,1,17,3,12,1,17,7,10,1,17,2,12,1,17,2,16,2,17,1,16,1,12,1,17,9,11,1,17,8,11,1,13,5,8,1,6,1,13,1,10,1,9,1,11,1,8,1,7,1,13,2,7,1,8,1,6,1,8,1,13,1,7,1,13,5,7,1,13,2,6,1,13,5,29,1,8,1,7,1,13,2,8,1,9,1,13,1,6,1,24,1,8,1,13,1,8,2,7,1,8,3,10,1,8,1,9,1,13,1,11,1,9,1,10,1,9,1,13,2,9,1,12,1,13,1,10,1,9,2,11,1,9,1,8,1,11,1,24,1,11,1,9,1,11,1,12,1,9,1,12,1,11,1,9,1,11,1,9,1,11,1,24,1,9,1,13,1,9,1,11,1,24,1,12,1,9,1,17,1,9,1,8,1,9,1,10,1,9,1,12,1,8,1,9,1,17,1,8,1,9,2,10,1,11,1,9,3,13,1,11,1,8,1,9,1,13,1,9,1,17,1,9,1,8,1,10,1,9,1,11,1,8,1,9,1,17,1,9,1,17,1,8,1,10,1,8,1,9,1,12,1,8,1,11,1,9,2,13,1,9,1,13,1,10,1,8,1,24,1,8,1,9,2,8,1,9,1,13,1,9,1,7,1,8,3,13,1,8,2,10,1,7,1,8,2,9,1,8,1,24,1,8,1,7,1,13,1,8,1,9,2,13,1,7,1,13,1,6,1,8,1,9,1,13,1,9,1,8,1,13,1,8,1,9,1,13,2,11,1,9,1,13,1,9,1,8,1,24,1,8,1,13,1,8,2,9,1,8,1,13,1,24,1,8,1,11,1,24,1,9,1,6,1,13,1,6,1,13,3,8,1,6,1,13,1,10,1,17,3,9,1,8,1,13,5,6,1,7,1,8,1,6,1,28,1,7,1,30,1,29,1,8,1,30,1,6,2,29,1,7,2,6,1,7,1,6,2,29,1,7,1,29,1,13,1,6,2,30,2,29,1,28,54,29,1,30,1,28,1,30,1,28,4,7,1,29,2,6,2,29,1,30,1,29,1,6,2,13,1,29,1,6,3,30,1,28,6,30,1,28,15,29,1,13,1,5,29,28,12,13,1,14,2,8,1,24,1,10,1,8,1,7,1,13,1,6,1,13,2,7,1,8,1,9,1,11,1,12,2,28,6,13,1,17,1,13,1,28,32,16,1,15,1,9,1,6,2,28,1,10,1,17,1,13,1,24,1,13,1,}, {29,1,6,1,30,1,13,1,8,1,9,1,10,1,28,10,30,1,28,9,30,2,6,2,30,1,28,1,30,1,13,1,28,1,30,1,28,6,30,1,6,1,7,1,30,1,6,1,7,1,8,1,13,1,9,1,16,1,17,1,16,1,9,1,29,2,30,1,6,2,24,1,17,2,10,1,24,1,13,1,24,2,13,1,8,1,7,1,6,1,29,1,17,2,8,1,6,3,30,2,13,1,9,1,10,1,8,1,13,2,24,1,8,1,9,1,8,2,17,1,14,1,9,2,6,1,7,1,24,1,11,1,9,1,6,1,28,15,29,1,28,1,30,1,28,2,29,1,28,1,29,1,6,1,7,1,8,1,13,1,9,3,11,1,9,1,7,1,30,1,6,4,30,1,8,1,12,1,17,2,14,1,8,2,13,2,6,4,13,1,24,1,9,1,17,1,15,1,14,1,13,2,28,3,29,2,28,1,30,3,28,2,30,1,28,2,13,1,16,1,11,1,9,1,10,1,13,1,10,1,11,1,16,1,8,1,16,1,8,1,9,2,16,1,9,1,10,1,11,1,9,1,11,2,16,1,10,1,8,1,9,1,16,1,9,1,17,1,9,4,8,2,9,1,13,1,8,1,9,1,8,2,9,1,8,2,16,1,13,1,16,1,13,1,11,1,9,1,8,3,13,1,30,2,27,1,28,2,25,1,28,1,8,1,7,1,29,1,8,1,6,1,8,1,29,1,13,1,8,1,24,1,10,2,17,1,12,1,17,1,12,1,17,2,11,1,17,1,12,1,17,3,11,1,17,1,10,1,11,1,12,1,9,1,17,1,13,1,28,14,30,1,28,2,6,1,29,1,28,1,29,1,28,1,6,1,28,13,30,1,28,1,29,1,28,3,6,1,30,1,29,1,28,4,30,1,29,1,30,2,6,1,30,1,28,1,29,1,6,1,28,2,30,1,6,1,29,1,13,1,7,2,6,1,28,2,7,1,30,1,6,1,28,1,30,2,6,1,28,1,6,1,30,1,29,1,7,1,6,2,29,5,13,1,8,1,6,1,30,1,13,1,7,2,29,1,13,2,7,1,8,1,13,2,8,1,24,1,8,2,9,1,24,2,8,2,24,1,6,1,13,1,6,1,30,1,28,26,30,1,28,19,30,2,28,2,29,2,28,1,30,2,29,1,30,2,28,1,7,1,6,2,29,1,7,1,8,1,7,1,6,1,24,1,6,1,8,1,13,1,24,5,12,1,24,1,12,1,9,1,12,1,10,2,24,1,10,1,12,1,17,1,12,2,24,1,12,1,17,1,12,1,17,20,12,1,17,12,9,1,11,1,17,1,12,2,9,1,17,1,10,1,12,2,11,1,17,1,12,1,17,3,16,1,11,1,16,1,17,1,16,3,11,1,16,1,11,1,9,2,13,1,9,1,11,1,13,1,9,4,11,2,16,2,9,1,16,3,9,1,16,2,11,1,16,1,9,1,16,2,11,1,16,1,17,1,11,1,16,3,11,1,16,1,11,2,16,3,17,1,11,1,17,1,11,2,17,2,16,1,11,1,16,2,9,2,16,1,10,1,9,1,13,1,30,2,13,4,9,2,8,1,11,1,9,1,10,1,9,1,13,1,7,1,28,23,7,1,28,55,7,3,8,1,24,1,8,1,9,2,12,1,17,1,12,1,17,2,28,72,30,2,28,3,30,1,13,1,6,1,8,1,7,1,13,2,9,1,8,1,9,1,10,1,24,1,9,2,11,1,10,1,9,1,11,1,16,1,13,1,9,1,30,1,6,1,28,1,30,1,29,1,28,1,30,1,6,1,30,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,29,1,28,1,30,1,28,1,30,2,28,1,6,1,29,1,28,2,30,1,13,1,30,1,6,1,7,1,13,1,30,1,13,3,6,1,13,1,6,3,8,1,6,1,13,1,6,1,13,1,29,1,6,1,30,1,8,1,13,1,29,1,13,1,6,1,13,1,30,1,13,1,8,1,29,1,13,1,30,1,13,1,8,1,13,2,33,1,5,1,33,118,5,287,11,1,8,1,13,1,9,1,13,1,10,1,9,2,11,1,10,2,17,8,10,1,9,3,11,1,9,1,12,1,11,1,10,1,12,1,17,9,11,1,17,2,12,2,10,1,12,1,11,1,8,2,11,1,8,1,9,1,12,1,9,1,17,5,12,1,17,23,10,1,11,1,8,1,9,1,8,1,6,1,24,1,8,1,24,1,13,1,9,3,17,1,11,1,17,7,12,1,17,1,12,1,11,1,12,1,10,1,9,1,17,1,10,1,9,3,11,1,17,7,9,2,10,2,9,1,24,3,9,4,12,1,10,1,11,2,17,11,12,2,17,1,12,1,17,3,11,1,17,4,11,1,12,4,17,1,12,1,17,2,11,1,17,3,11,2,17,2,12,1,17,1,12,1,17,1,11,1,12,1,17,2,11,1,17,2,12,1,9,1,17,2,11,1,17,1,9,1,10,1,11,1,16,2,11,1,16,2,17,1,16,2,11,1,9,1,16,1,11,2,16,1,9,1,13,1,8,1,13,1,11,5,9,3,8,1,9,1,13,1,10,1,13,1,8,1,13,2,8,1,6,1,8,1,13,3,8,1,6,1,9,1,13,2,8,1,9,1,13,1,8,1,10,1,9,1,11,1,9,1,11,2,8,1,9,1,11,1,8,1,9,1,11,1,8,1,11,2,10,3,11,1,9,1,10,1,16,1,9,2,11,2,9,2,16,1,17,1,9,1,17,3,10,2,24,2,8,3,6,1,13,1,8,2,24,1,8,2,10,1,8,1,13,1,28,7,30,2,29,1,13,1,9,1,13,1,7,1,13,1,7,1,17,3,10,1,8,2,13,1,9,2,6,2,17,9,16,2,17,25,9,1,17,1,11,2,17,2,9,2,17,1,9,1,17,1,12,1,17,1,9,1,24,1,10,1,8,1,10,1,8,2,9,1,17,1,24,1,17,1,12,1,9,2,10,1,17,1,10,1,9,1,12,2,9,1,12,1,9,1,10,1,11,1,8,1,9,1,12,1,9,1,24,1,8,1,13,1,8,1,7,1,6,1,7,2,28,2,30,1,28,9,30,1,28,9,30,1,28,6,6,2,7,1,6,2,30,2,28,1,29,1,30,2,28,1,6,1,28,1,30,3,28,4,29,1,30,1,29,1,28,1,29,1,28,1,30,1,29,1,28,2,29,1,30,2,28,2,29,4,28,2,7,1,29,1,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,3,6,1,29,1,6,1,30,1,7,2,28,14,30,1,28,35,29,1,28,1,6,2,13,1,16,1,11,1,12,1,8,1,24,1,9,1,8,1,24,1,6,1,13,3,6,2,25,1,6,1,13,1,12,1,24,1,10,1,12,2,17,1,10,1,12,1,11,1,17,1,12,1,10,1,12,1,10,1,17,1,9,1,17,2,10,1,12,1,10,1,17,1,12,1,17,2,9,1,12,2,10,1,12,1,10,1,12,1,9,1,8,1,17,1,12,1,10,1,12,1,17,3,9,1,17,1,12,1,17,6,16,1,17,4,11,1,17,1,11,1,17,1,16,1,17,1,11,1,17,3,16,2,17,1,16,1,11,1,16,1,11,1,17,2,16,1,17,4,11,1,17,1,16,2,17,1,11,1,17,1,16,1,17,7,10,1,13,3,9,3,8,1,13,3,8,1,13,2,6,1,13,2,6,1,7,1,13,1,8,1,6,1,13,3,6,2,13,5,30,1,8,1,7,1,6,2,13,1,7,1,13,2,24,1,13,2,6,1,13,1,9,1,13,1,9,3,13,2,8,1,10,1,13,1,8,1,9,1,8,1,9,1,10,1,8,2,11,1,9,1,8,1,12,1,11,2,24,1,8,1,9,2,10,1,9,2,17,2,11,1,12,2,10,1,9,1,12,1,11,1,8,1,11,1,9,1,12,1,9,1,8,1,9,2,11,1,12,2,24,1,7,1,24,1,13,1,8,1,11,1,9,1,10,1,8,1,9,1,11,1,9,1,24,1,11,1,24,1,13,1,9,1,8,1,9,1,12,2,10,1,8,1,12,1,9,2,10,1,9,1,17,1,12,1,17,1,11,4,10,1,13,1,11,1,8,1,10,1,9,1,8,1,24,1,9,1,8,1,10,1,9,2,8,2,10,1,8,1,13,1,10,1,8,2,13,1,10,1,8,3,9,2,6,1,9,1,8,1,10,1,8,1,9,1,8,1,13,1,8,1,13,1,8,2,13,1,9,1,8,1,13,1,6,1,13,2,10,1,8,3,13,1,9,1,29,1,24,1,7,1,9,1,6,1,7,1,8,1,13,1,9,1,13,4,7,1,29,1,13,1,8,2,13,2,6,1,13,1,6,1,13,3,17,2,11,1,8,1,7,1,9,1,13,4,9,1,13,1,6,2,13,1,29,1,7,1,6,1,13,1,29,1,13,2,6,2,30,2,7,1,30,2,28,1,6,1,30,2,29,1,28,1,13,1,30,2,29,1,28,62,6,1,29,2,28,1,6,2,7,1,6,2,13,2,6,1,13,3,6,2,28,5,30,1,28,15,30,1,9,1,5,29,28,11,30,1,8,1,9,1,14,1,10,1,13,2,7,2,13,1,6,1,13,1,6,1,7,1,8,1,24,1,9,1,17,2,28,6,13,1,17,1,13,1,28,31,6,1,16,1,14,1,12,1,28,1,6,1,28,1,9,1,14,1,24,1,13,2,}, {29,1,6,1,29,1,6,1,13,1,17,1,16,1,28,7,30,1,28,9,29,1,28,3,30,1,28,2,6,1,28,2,29,1,30,1,28,1,30,1,28,4,6,1,28,1,29,1,30,2,13,1,24,1,9,1,8,1,9,1,11,1,17,1,16,1,13,1,29,1,30,1,6,3,9,1,17,2,11,1,9,1,8,3,16,1,24,2,6,1,13,1,10,1,17,2,13,1,6,3,30,1,24,1,10,2,9,1,24,1,13,1,10,1,8,1,9,1,24,1,8,1,12,2,8,1,24,1,13,2,8,1,9,1,16,1,13,1,30,1,28,7,30,1,28,12,29,1,6,2,13,1,8,1,13,1,24,1,10,2,16,1,11,1,6,1,29,1,28,1,30,1,7,1,29,1,30,1,13,1,11,1,17,1,12,1,17,1,8,1,6,4,7,1,13,1,6,2,9,1,24,1,17,1,11,1,14,1,10,1,6,2,28,1,29,1,28,1,30,1,28,2,6,2,28,5,13,1,11,1,12,1,17,1,9,1,17,1,11,1,9,2,8,1,9,1,10,1,9,3,11,2,9,1,11,1,9,7,11,1,10,1,9,3,13,1,8,2,9,2,11,1,13,1,9,1,11,2,9,1,11,1,16,1,9,1,11,2,9,2,11,1,9,1,13,2,6,1,28,2,30,1,29,1,27,2,25,3,29,1,26,1,25,2,24,1,7,1,10,1,24,1,9,1,10,1,17,2,10,1,17,6,11,1,17,1,12,1,17,3,10,1,17,3,6,1,30,1,28,13,6,2,29,2,30,1,28,3,30,1,28,8,30,1,28,3,30,1,28,4,30,3,28,2,29,1,28,2,6,1,29,3,30,1,28,2,30,1,6,2,30,1,29,1,28,1,6,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,30,2,6,2,30,1,6,1,30,1,29,1,6,1,29,4,6,2,7,1,6,4,7,1,13,1,8,1,6,1,8,1,6,1,8,2,7,1,8,1,13,1,8,2,24,1,10,1,9,1,24,2,9,2,13,1,24,1,13,1,6,1,28,1,29,1,28,4,30,1,28,37,29,1,28,2,30,1,28,1,29,1,28,1,6,1,30,3,6,1,29,1,6,3,29,1,6,1,8,1,29,1,6,2,7,1,24,1,7,1,24,1,8,2,24,3,8,3,12,1,9,1,24,1,10,1,24,1,12,1,10,1,11,1,9,1,10,1,9,3,12,2,10,1,12,1,17,11,16,1,17,18,12,1,17,1,12,1,17,2,12,1,9,1,17,2,10,1,11,1,8,1,17,4,11,1,17,2,16,5,11,1,17,1,16,2,9,1,11,1,9,1,11,1,9,4,11,2,9,5,11,1,8,1,9,2,8,1,10,1,11,1,9,2,10,1,11,2,16,1,10,1,9,2,16,1,11,2,16,2,11,1,17,1,11,1,16,1,9,1,16,1,17,2,11,1,17,3,11,1,17,2,16,1,17,1,16,1,11,1,16,1,11,1,10,1,9,9,8,1,13,1,9,3,30,1,28,21,7,1,10,1,28,55,6,2,13,1,8,1,13,1,9,2,10,1,17,2,16,1,17,2,28,30,30,1,28,37,30,1,28,3,30,1,28,4,30,1,28,1,6,2,29,1,13,3,9,2,13,1,24,1,9,2,10,1,17,1,13,1,9,1,11,1,9,2,13,1,6,2,30,2,28,1,30,1,6,1,28,1,6,1,13,1,30,1,13,2,6,7,30,1,6,2,29,1,6,3,28,3,6,1,30,1,13,1,6,2,13,1,6,1,28,1,6,2,30,3,13,1,6,2,8,1,6,1,30,2,6,1,13,2,6,2,8,1,6,1,13,1,29,1,13,2,6,1,7,1,6,1,7,2,13,2,9,1,13,1,5,2,33,117,5,287,16,1,9,1,8,1,7,1,10,1,13,1,12,2,10,1,11,1,12,1,17,5,12,1,17,3,9,1,10,1,13,1,9,1,12,1,8,1,11,1,10,1,12,2,17,3,11,1,17,2,9,1,17,3,11,1,17,1,12,3,9,3,10,1,9,2,11,1,17,29,11,1,8,1,6,1,24,1,13,2,9,1,13,1,8,1,10,1,8,1,9,1,11,2,10,1,17,11,12,2,9,1,11,1,9,5,10,1,17,6,11,1,10,1,24,2,9,2,8,1,11,1,9,1,10,1,24,1,9,1,10,1,12,1,11,2,17,11,12,1,17,1,11,1,17,1,12,1,11,1,12,4,17,1,12,1,17,1,12,2,10,1,12,1,17,4,11,1,17,2,11,1,17,2,12,1,17,1,12,1,17,5,11,2,17,2,12,1,10,1,9,1,17,1,11,2,17,1,10,1,11,1,16,1,17,1,11,2,16,2,11,1,16,2,9,1,11,1,16,1,11,1,10,1,11,1,13,1,8,1,9,3,16,1,11,1,16,1,9,2,10,1,9,6,13,4,6,1,13,1,6,1,13,4,8,1,13,1,8,2,9,2,8,1,9,1,8,1,9,1,8,1,9,2,11,1,9,5,11,1,9,1,11,2,9,1,11,4,9,1,10,1,9,2,11,2,16,2,17,5,9,1,8,1,13,1,24,1,6,1,14,1,29,1,7,1,24,4,9,1,7,1,24,1,9,1,6,1,28,6,29,1,30,1,8,1,15,2,24,1,13,1,6,2,28,1,17,3,9,1,13,1,9,2,10,1,8,1,16,2,9,1,17,1,16,1,17,1,16,2,17,2,11,1,16,1,17,23,16,1,17,1,9,1,11,1,17,1,10,5,9,1,11,1,9,1,17,2,10,1,17,1,24,1,10,1,8,1,12,1,9,2,12,1,17,1,9,1,12,2,17,1,24,3,12,1,10,1,24,1,9,1,10,1,17,1,24,1,17,1,11,1,10,1,24,1,9,1,24,1,10,1,24,1,8,1,13,1,7,1,8,1,28,1,6,1,28,1,30,1,28,3,29,1,28,16,27,1,28,1,30,1,28,1,29,1,27,1,28,1,25,1,29,1,6,2,7,1,6,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,29,1,28,1,30,3,28,1,30,1,28,5,30,2,6,1,28,1,29,1,7,1,30,1,26,1,6,2,25,1,28,1,29,1,30,1,29,2,28,2,30,2,28,6,30,1,28,3,29,1,27,1,30,1,6,1,30,1,6,2,28,11,30,1,28,34,30,1,7,1,13,2,8,1,17,2,8,1,11,1,8,1,24,1,13,1,6,1,30,2,25,1,29,1,7,1,29,1,8,1,6,1,8,2,24,1,9,1,10,1,12,2,17,1,12,1,17,1,8,1,9,1,17,1,10,1,11,1,17,1,11,1,17,1,9,1,17,1,10,1,12,2,17,1,9,1,12,2,9,1,12,1,17,1,12,1,10,1,9,1,12,1,8,1,10,1,9,1,8,1,9,1,10,1,17,1,12,1,10,1,17,1,12,1,11,2,17,2,8,1,17,1,11,1,12,1,17,1,9,1,17,1,16,2,11,1,17,2,12,1,17,1,11,2,17,4,16,1,11,2,16,2,11,1,17,1,11,1,17,3,16,1,17,5,16,1,11,1,12,1,17,3,11,1,17,4,10,1,11,1,13,2,6,1,8,2,9,1,13,2,7,2,13,1,7,4,13,1,7,1,8,1,7,1,13,3,6,1,13,1,8,1,7,1,13,2,8,1,6,2,13,1,6,1,8,1,13,1,7,1,13,1,6,1,13,3,6,1,13,1,8,1,13,2,8,1,13,1,9,2,13,2,9,1,13,1,9,5,24,2,11,1,8,1,9,2,10,1,11,1,10,1,11,1,17,1,13,1,17,1,9,2,24,1,9,2,11,1,12,1,9,1,17,1,9,1,8,1,10,1,12,1,8,1,17,1,10,1,9,1,10,1,13,1,11,1,9,2,17,1,10,1,9,1,10,2,9,1,8,1,9,1,8,1,24,1,10,1,8,3,24,1,8,2,9,1,12,1,9,1,12,1,9,1,24,1,8,1,17,1,11,2,9,2,11,3,17,1,9,1,12,1,10,1,11,1,9,2,11,2,8,1,24,1,13,2,8,1,13,2,8,2,9,3,8,1,12,1,13,1,9,1,8,1,24,1,13,1,9,1,8,1,9,1,13,1,9,1,29,1,13,1,9,1,13,4,8,4,9,1,13,4,8,2,10,1,13,2,8,1,13,2,6,1,9,1,8,1,9,1,13,2,9,1,8,1,6,1,24,1,13,1,10,1,24,1,13,1,8,1,13,6,8,1,17,1,12,1,17,1,8,1,13,1,8,1,9,1,8,1,13,4,8,2,29,1,13,1,29,1,6,2,30,1,13,1,28,1,6,1,29,1,28,1,6,1,29,1,30,1,28,2,30,1,28,1,29,1,13,1,28,3,6,2,30,1,6,1,28,18,30,1,28,41,29,1,30,1,29,1,6,2,30,1,6,1,7,2,6,2,7,1,13,1,8,2,9,1,8,1,9,1,8,1,13,1,28,3,30,2,28,3,6,1,28,11,6,1,13,1,5,29,28,12,8,1,11,1,10,1,9,1,8,1,24,2,7,1,6,1,30,1,29,1,13,1,6,1,24,1,9,1,17,2,24,1,28,6,13,1,16,1,13,1,28,31,29,1,16,1,11,1,8,2,6,1,28,1,9,1,12,1,24,1,13,2,}, {13,1,30,1,6,1,8,1,13,1,17,1,11,1,28,6,30,2,28,1,30,1,28,6,30,1,28,3,30,1,28,1,13,1,30,1,29,1,30,1,28,6,30,1,28,6,30,1,8,1,10,1,9,2,10,1,9,1,17,1,16,1,8,1,6,1,29,3,6,1,9,1,17,2,9,1,8,1,9,1,11,1,16,1,17,1,10,1,8,1,13,2,12,1,17,1,9,1,13,2,29,2,13,1,6,1,12,1,9,1,11,1,9,1,8,1,9,1,13,2,24,1,13,1,17,1,16,1,10,1,8,1,13,1,29,1,6,1,24,1,14,1,29,1,28,21,30,1,6,1,13,1,8,1,13,2,8,1,9,1,10,1,17,1,16,1,7,1,28,2,30,1,29,3,13,1,9,1,15,1,17,1,12,1,13,2,6,1,7,1,13,5,24,1,10,1,12,2,15,1,12,1,13,1,28,9,30,1,28,4,13,1,10,3,11,1,9,1,8,1,9,1,16,1,9,1,11,1,9,1,10,1,8,1,9,1,17,1,16,1,11,2,9,1,11,1,9,2,11,1,13,1,16,1,13,1,9,1,8,1,13,1,8,1,9,3,13,1,8,1,9,2,8,1,9,2,11,1,16,1,9,2,16,1,11,1,16,3,13,1,6,1,7,1,28,1,6,1,28,3,30,1,27,1,29,2,26,1,29,1,25,2,7,1,24,1,8,1,24,1,10,3,17,1,10,1,12,1,17,1,11,1,12,1,17,4,12,1,17,2,12,1,17,1,16,2,10,1,17,1,12,1,6,1,28,6,29,1,28,1,29,1,6,1,30,1,6,1,29,1,7,1,6,2,29,2,28,1,29,1,28,10,30,1,28,2,29,1,28,1,29,2,7,2,29,1,28,1,6,1,28,2,29,1,28,2,29,1,6,1,30,1,6,1,28,1,30,1,29,1,6,1,30,1,6,1,30,1,13,1,6,1,7,1,8,1,13,1,6,1,7,1,6,2,30,1,7,1,29,2,30,1,29,1,30,2,6,1,30,1,29,1,6,1,13,1,29,2,13,1,7,1,6,1,8,1,13,1,6,1,8,2,13,3,7,1,13,1,8,1,13,5,8,4,10,1,8,1,10,1,24,1,9,1,7,2,13,1,30,1,6,1,28,3,30,1,28,21,30,1,28,18,6,1,30,1,29,1,28,1,7,1,6,1,13,1,7,1,6,1,29,3,6,1,30,1,29,1,6,2,7,1,8,2,24,1,25,1,8,2,13,2,8,3,13,1,9,1,8,2,24,1,9,1,24,1,12,1,9,2,17,1,12,2,9,1,17,8,12,1,17,6,11,2,17,9,12,1,17,1,12,1,17,7,9,1,17,2,10,1,12,1,17,4,12,2,17,3,10,1,17,3,16,3,17,1,16,1,11,2,9,1,11,2,9,2,11,1,9,1,16,1,10,1,9,1,16,1,10,1,8,1,16,5,11,1,16,1,11,1,16,2,11,1,16,1,11,1,16,4,17,1,9,1,16,1,11,1,16,1,17,1,16,3,11,1,9,1,11,1,9,2,16,1,9,1,11,1,17,1,10,1,11,1,9,1,11,1,16,1,9,3,13,1,9,3,11,1,9,1,13,4,9,3,13,1,9,1,8,2,6,1,28,22,13,1,28,52,29,1,28,1,30,1,7,1,6,1,7,1,13,1,8,1,9,1,8,1,9,1,12,1,16,1,17,1,16,1,17,1,13,1,28,72,29,1,28,4,6,1,29,1,7,1,29,1,13,1,6,1,7,1,8,1,9,2,10,1,8,1,12,1,9,1,10,1,9,1,10,1,9,1,11,1,9,2,8,1,13,1,30,5,28,2,6,1,30,1,6,1,30,1,13,1,30,2,28,3,30,3,6,2,30,2,28,1,30,1,28,1,6,2,13,1,6,1,13,4,6,1,7,1,6,2,13,1,30,1,6,2,29,1,6,2,30,1,9,1,6,1,13,3,29,1,6,2,8,2,7,1,13,2,6,1,7,2,6,1,13,2,7,1,13,1,6,2,33,1,5,3,33,115,5,287,9,1,13,1,7,1,9,1,10,1,11,1,9,3,11,2,17,2,12,2,17,3,10,2,9,2,11,1,12,1,9,1,13,1,9,2,17,1,10,2,17,1,12,1,17,2,12,1,11,1,10,1,17,5,11,1,17,4,11,2,12,1,17,4,11,1,17,2,12,2,17,19,12,1,9,2,13,2,24,1,6,1,13,1,8,1,13,2,9,1,10,1,12,1,11,1,17,10,11,1,12,3,9,1,11,2,24,1,13,1,8,1,10,1,12,1,10,1,17,6,10,1,12,1,8,1,9,1,12,1,8,1,7,1,9,2,24,1,10,1,8,1,11,1,10,1,11,2,17,1,12,1,17,1,12,1,17,4,12,1,17,3,11,1,12,4,10,1,12,1,17,1,12,1,17,3,12,1,17,3,12,1,11,1,17,2,11,1,17,1,10,1,17,2,12,1,17,4,12,1,17,1,12,1,11,2,17,6,11,4,17,4,11,1,16,1,11,3,16,1,9,1,16,4,9,2,13,1,9,2,10,1,11,1,9,1,11,1,9,3,11,1,9,2,8,1,9,3,13,7,6,1,9,1,7,1,9,2,13,2,8,2,9,1,8,1,9,3,11,1,10,1,9,1,10,3,9,1,11,1,16,1,9,1,11,1,9,1,10,1,11,1,10,1,9,2,11,2,9,3,16,1,11,1,10,1,11,3,17,3,11,1,7,1,6,1,8,1,12,1,24,1,29,1,25,1,8,3,24,1,15,1,8,3,28,4,29,1,26,1,8,1,13,1,8,1,29,1,30,1,6,1,13,1,6,1,7,1,29,1,17,3,13,2,8,2,9,2,8,1,9,1,16,1,17,1,13,1,17,1,11,1,17,28,11,1,16,1,10,1,11,1,9,1,17,1,9,1,11,1,24,1,10,1,12,1,9,1,12,2,8,1,12,2,10,1,9,2,12,1,9,1,17,1,12,2,24,1,12,1,9,1,24,1,9,1,10,1,12,2,11,1,17,1,11,1,12,1,24,1,8,1,10,1,12,2,24,2,9,1,24,2,7,1,13,1,29,1,6,1,28,1,30,1,28,21,29,1,30,1,28,3,27,1,26,1,6,1,30,1,24,1,25,1,6,2,29,1,28,2,30,1,28,4,30,1,28,1,30,1,29,1,28,2,30,1,28,4,30,1,29,1,30,1,6,2,29,1,6,1,7,2,13,1,6,1,13,1,6,2,7,1,13,1,7,1,13,1,6,1,28,1,7,1,30,1,6,1,28,2,30,1,28,1,29,1,28,4,30,1,28,1,29,1,30,1,28,1,29,1,9,1,29,1,28,13,6,1,28,32,29,1,13,1,10,2,12,1,9,1,13,1,24,2,13,1,7,2,6,1,29,1,6,3,7,1,26,1,6,1,7,1,8,3,24,2,10,1,9,1,12,1,17,1,12,1,17,3,24,1,12,1,9,1,10,1,12,1,11,1,17,2,11,1,17,2,12,1,17,4,10,2,12,2,9,1,12,1,9,1,12,1,11,1,10,1,12,1,9,1,17,1,12,1,24,1,12,2,17,1,12,1,10,1,17,1,12,2,17,2,11,2,10,1,12,1,9,1,17,4,11,2,17,1,12,1,9,1,17,1,16,1,11,1,17,1,11,1,17,1,11,1,17,2,11,1,17,1,12,1,17,1,11,1,17,1,12,1,17,2,16,1,11,1,16,1,11,2,17,8,10,1,8,1,9,1,13,2,9,1,8,3,13,2,7,1,13,1,6,1,29,1,7,1,13,6,7,1,13,3,6,1,7,1,13,1,29,1,13,2,30,1,13,1,6,1,13,4,7,1,8,1,7,1,8,4,13,1,9,1,13,1,7,1,13,2,9,2,13,1,9,2,10,2,13,1,10,1,24,1,12,1,10,1,12,1,10,1,9,1,11,2,9,1,12,1,11,1,9,1,17,1,8,1,10,1,11,1,10,1,17,1,9,2,11,1,12,1,9,1,12,1,9,1,17,2,10,1,17,3,11,1,8,1,11,1,8,1,10,1,11,1,10,1,8,1,9,1,12,1,8,1,12,1,9,2,10,1,9,1,11,1,13,1,9,1,13,1,10,1,8,2,17,1,9,1,8,1,17,1,9,2,11,1,12,1,17,1,11,1,12,1,17,1,9,1,11,3,12,1,9,1,10,2,13,1,8,2,24,1,8,2,9,2,8,1,17,1,9,5,8,1,11,1,24,1,9,2,8,2,9,1,8,1,9,1,24,1,10,1,13,1,9,1,8,1,7,1,24,1,6,1,13,1,9,1,24,1,10,1,13,1,9,1,8,1,13,2,9,1,8,1,10,1,8,1,13,1,12,1,10,1,8,1,9,2,8,1,7,1,8,1,13,1,7,1,9,1,13,1,24,1,8,1,9,2,13,1,8,4,17,3,9,2,13,1,9,1,12,1,13,2,8,1,30,1,13,1,7,1,13,1,6,1,13,1,7,1,6,2,28,1,30,2,13,1,28,1,30,1,28,1,13,1,30,1,28,64,30,1,28,7,30,1,28,3,29,1,7,1,29,1,7,1,13,1,8,1,13,1,7,1,13,2,24,1,8,1,9,3,13,1,10,1,9,3,8,1,6,2,28,3,6,1,28,10,30,1,13,1,9,1,5,29,28,12,13,1,9,1,24,1,7,1,8,1,24,1,7,1,8,1,6,1,30,1,7,1,6,2,24,1,9,1,10,1,9,1,7,1,28,6,13,1,17,1,9,1,28,31,30,1,14,1,11,1,8,1,7,1,29,2,15,1,12,1,9,1,6,1,24,1,}, {8,1,6,1,29,1,6,1,13,1,17,1,11,1,6,1,28,16,30,1,28,1,30,3,6,1,28,3,29,1,28,1,30,1,28,7,30,1,28,3,6,1,8,1,9,1,8,1,9,1,11,1,17,1,14,1,13,2,29,1,6,1,30,2,24,1,17,2,24,1,7,1,9,1,11,1,17,1,12,1,11,1,13,2,28,1,16,1,17,1,11,1,8,2,30,1,6,1,29,1,13,1,12,1,9,2,24,1,8,1,13,3,9,2,12,1,11,1,9,1,8,1,9,1,30,1,13,1,24,1,14,1,30,1,28,22,30,1,13,1,8,1,24,1,8,1,24,1,8,1,9,1,17,1,11,1,7,1,13,1,30,3,6,3,24,1,17,1,11,1,17,1,7,1,13,1,24,1,13,1,7,1,13,1,7,1,6,1,13,1,8,1,11,1,17,1,10,1,15,1,12,1,6,1,29,1,28,6,30,1,28,6,8,1,11,1,9,2,10,1,9,1,11,1,13,1,11,1,10,1,16,1,9,1,8,1,11,1,9,1,10,1,9,4,11,1,9,1,11,2,13,1,8,1,9,1,8,1,13,1,11,1,13,1,9,2,11,1,9,1,11,1,8,1,9,1,8,1,9,2,16,1,11,1,9,1,11,1,10,1,9,1,16,1,9,2,24,1,7,1,6,1,29,2,30,1,29,2,27,4,29,1,6,2,8,2,13,1,8,1,24,1,8,1,24,1,10,1,12,3,17,2,11,1,17,1,12,1,9,1,17,1,12,1,17,5,16,1,10,1,11,1,17,1,7,1,28,7,29,1,30,1,25,1,6,1,25,1,7,1,13,1,6,1,29,2,28,1,6,1,29,1,28,13,29,1,28,1,29,1,30,2,28,2,30,1,28,3,30,1,6,1,29,1,28,2,29,3,28,1,6,1,13,1,7,1,6,1,7,1,6,3,8,2,13,1,7,1,13,1,30,1,7,2,6,1,30,1,7,2,28,1,7,1,13,1,6,1,13,1,8,1,30,1,29,2,7,1,8,1,13,1,8,1,6,1,13,2,6,1,13,2,24,1,7,1,13,1,24,1,7,1,6,1,13,1,8,1,24,2,8,2,24,1,9,3,24,1,7,1,24,1,6,2,29,3,30,2,28,2,29,1,28,35,30,2,28,1,29,1,28,1,30,3,13,1,6,2,7,1,6,1,7,1,28,1,29,1,6,1,30,1,7,2,13,1,6,1,7,1,25,2,24,1,12,1,8,2,24,1,8,1,24,1,8,1,24,1,9,2,8,3,10,1,24,1,9,1,17,1,12,1,17,1,9,2,17,1,10,1,17,1,12,1,17,6,12,1,17,2,11,1,17,1,11,1,17,2,12,1,17,2,12,1,17,8,12,2,17,9,12,1,17,1,9,1,10,1,12,1,17,1,12,1,17,1,12,1,17,5,11,1,16,1,9,2,16,2,9,1,11,2,16,1,11,2,16,1,9,1,16,2,11,1,16,2,9,1,16,1,11,2,16,1,17,1,16,6,17,2,16,1,17,1,16,4,11,1,10,1,11,1,16,1,9,1,11,1,9,4,13,1,11,1,9,2,11,2,9,3,13,1,9,2,13,1,9,1,13,3,6,1,13,4,8,1,9,1,13,2,11,1,9,1,8,1,28,22,30,1,28,54,30,1,7,1,6,1,7,1,8,1,24,1,8,3,9,1,17,1,11,2,17,1,10,1,28,80,29,2,13,3,8,1,24,1,8,1,24,2,10,1,8,1,9,2,8,1,17,1,9,2,13,1,9,1,30,1,28,1,6,1,28,1,30,2,28,4,6,2,13,1,30,3,28,1,6,1,13,2,6,3,30,1,29,1,30,2,28,1,30,2,6,2,13,5,6,2,13,1,30,1,8,1,13,3,6,1,13,1,28,1,13,1,29,1,13,2,7,2,6,2,13,1,30,1,8,1,13,2,6,1,13,2,8,1,13,2,29,1,13,4,9,2,33,1,5,1,33,115,5,287,13,1,9,2,8,1,24,1,8,1,10,1,11,1,10,2,11,1,17,3,12,2,17,1,12,2,9,1,11,1,9,2,11,1,8,1,24,1,10,2,12,2,17,2,11,1,10,1,12,2,17,2,12,2,17,2,12,1,17,4,8,1,11,1,17,10,11,1,17,7,12,1,17,1,12,1,17,9,9,1,8,2,13,2,8,1,13,1,8,1,9,1,8,1,9,1,11,1,12,2,17,9,12,1,17,1,12,3,24,1,12,1,11,1,12,1,24,1,8,1,13,1,8,2,17,2,12,1,17,4,12,1,9,1,10,1,9,1,12,1,8,2,13,1,8,1,9,1,13,1,11,1,13,1,10,2,12,1,17,11,12,6,10,1,11,1,17,1,12,2,17,1,12,1,17,1,12,1,17,5,11,1,17,5,11,1,17,1,12,2,17,1,10,1,11,1,12,1,17,1,12,1,17,1,12,1,17,1,12,3,11,1,9,1,17,2,12,1,11,2,17,2,16,1,11,1,9,1,11,2,16,2,11,2,13,1,9,1,13,1,8,1,10,1,9,1,11,1,9,1,11,2,9,2,10,1,9,3,11,1,8,2,9,1,13,5,7,1,13,3,8,1,13,1,8,2,9,2,13,1,9,2,13,1,9,1,16,1,9,1,8,1,16,1,9,2,11,1,16,1,10,1,11,1,16,1,11,1,10,1,9,1,10,1,9,4,10,1,9,1,10,1,11,2,16,1,9,3,16,1,17,2,9,1,8,1,28,1,25,1,29,1,12,1,24,1,6,1,8,1,24,1,6,1,8,1,24,1,8,2,6,1,28,4,30,2,26,2,28,1,29,1,28,1,30,1,29,2,6,1,24,1,12,1,17,2,13,1,9,1,8,2,9,1,8,1,13,1,9,1,17,1,11,2,17,1,16,1,11,2,17,26,11,1,16,1,9,2,10,3,12,1,10,1,9,1,17,2,10,1,11,1,12,1,10,2,12,1,8,1,10,2,12,1,17,1,24,1,17,1,9,1,17,1,10,1,24,1,17,1,9,1,12,1,11,1,9,1,12,1,8,1,11,1,12,1,9,1,10,1,24,1,10,1,12,1,24,1,8,2,6,1,8,1,7,2,30,1,28,2,29,1,30,2,28,15,30,1,28,2,8,1,28,4,30,2,8,1,25,1,26,1,8,1,25,1,29,2,6,1,30,2,28,4,30,1,28,4,30,1,29,1,28,2,29,1,6,1,28,1,29,1,26,1,6,1,29,1,6,1,7,1,24,1,8,1,13,1,24,1,13,2,24,2,29,1,8,1,30,1,29,2,30,2,28,2,30,1,28,2,30,1,29,1,28,1,30,1,28,6,29,2,13,1,28,40,30,1,28,4,13,1,17,1,12,1,10,2,13,1,8,1,6,1,29,1,6,2,13,1,30,1,7,3,29,3,6,1,29,1,8,2,24,1,10,1,8,1,24,1,10,1,8,1,17,1,9,1,10,1,24,1,12,2,24,2,12,1,9,1,10,1,12,1,9,1,12,1,9,1,11,1,12,1,10,1,12,2,24,1,13,1,11,2,24,1,12,1,8,1,9,2,10,2,17,1,10,1,11,1,8,1,24,1,10,1,17,1,9,1,17,1,9,2,17,1,24,1,17,1,9,2,17,1,12,1,17,2,9,1,10,1,17,1,16,1,17,1,8,1,11,1,10,1,17,1,12,1,16,1,17,2,12,1,16,1,17,2,12,1,17,1,12,1,10,1,17,1,12,1,17,2,11,2,16,1,11,1,12,1,17,3,16,1,17,2,16,1,17,4,12,1,17,2,9,2,8,1,13,1,8,1,13,1,9,1,13,1,7,1,6,1,13,5,29,1,13,2,6,1,13,7,7,3,6,1,7,1,13,2,6,1,7,1,13,2,6,1,13,4,11,1,13,3,8,1,13,2,9,1,8,1,9,3,13,1,10,1,8,3,17,1,10,1,8,1,11,2,10,1,9,1,10,1,13,1,8,1,11,1,17,1,12,1,9,3,8,2,17,1,9,1,10,1,9,2,17,1,11,1,17,1,9,1,10,1,11,1,10,1,9,1,11,2,9,1,10,1,9,3,10,1,12,1,8,1,9,1,12,1,10,1,9,1,13,1,10,1,8,1,10,1,24,1,9,2,10,1,11,1,12,1,24,1,10,1,17,2,10,1,9,1,12,1,11,2,9,1,11,2,17,1,10,1,9,1,12,1,9,1,12,1,9,1,8,1,9,2,8,1,10,1,9,1,13,1,12,1,9,1,11,1,9,1,12,2,8,1,10,1,13,1,9,1,10,1,12,1,8,2,11,1,13,1,9,1,13,1,8,1,10,2,9,1,24,1,8,1,24,1,8,1,13,1,24,1,9,1,8,1,10,1,13,1,24,1,9,1,8,1,12,1,13,1,10,1,13,1,9,2,8,2,13,1,9,1,13,1,8,1,24,1,13,5,24,1,13,2,11,1,10,1,11,1,13,1,17,1,9,3,13,1,9,1,8,1,9,1,13,1,9,1,13,3,6,1,24,1,6,2,8,1,13,1,6,1,8,1,6,4,13,1,28,2,30,1,28,70,30,1,28,1,30,1,28,2,29,1,28,1,7,1,6,1,29,1,28,1,29,1,13,1,6,1,13,1,8,1,6,1,11,1,9,3,7,1,28,3,13,1,8,2,13,1,8,1,13,1,8,1,13,1,30,1,28,9,13,1,9,1,8,1,5,29,28,12,13,1,17,1,24,1,8,1,13,1,8,1,7,2,6,1,29,1,7,1,6,2,8,1,9,1,12,1,9,2,28,6,24,1,15,1,8,1,28,31,30,1,17,1,24,1,8,1,13,1,6,2,8,1,17,1,24,1,6,1,13,1,}, {29,1,7,1,6,1,30,1,6,1,13,1,12,1,8,1,28,5,6,1,28,11,30,1,28,1,29,1,28,1,6,1,29,1,28,1,29,1,28,4,30,1,28,8,30,1,6,2,8,1,24,1,8,1,11,1,14,1,11,1,9,1,7,1,30,1,6,1,29,2,10,1,17,1,12,1,11,1,12,1,24,1,10,1,9,2,8,2,13,1,7,1,9,1,17,2,6,1,30,1,6,1,30,1,13,1,8,1,9,2,12,1,7,1,13,1,7,1,8,1,13,2,24,1,17,2,16,1,9,1,6,1,13,1,8,1,24,1,14,1,6,1,28,11,30,1,28,7,29,1,30,1,28,1,30,1,7,1,13,1,9,1,8,1,12,1,24,1,12,1,17,1,10,1,6,3,30,1,6,2,29,1,6,1,24,1,17,2,14,1,9,1,13,3,8,1,13,2,6,1,13,2,24,1,17,1,12,1,15,2,6,1,28,1,30,1,28,6,30,1,28,5,13,1,11,1,10,2,13,1,11,1,9,2,16,1,11,1,13,1,11,1,8,1,9,1,13,1,11,1,16,1,11,1,9,2,11,1,9,1,16,1,9,2,11,1,9,1,13,1,8,1,13,1,9,2,13,1,9,1,13,1,11,1,8,1,11,1,9,1,11,1,16,2,11,1,9,4,13,1,11,1,10,1,13,1,6,1,29,2,28,2,29,1,30,1,27,2,29,1,27,1,30,1,6,1,7,1,8,1,24,2,8,1,24,2,9,1,17,4,11,1,17,2,12,1,17,1,12,1,17,3,12,1,17,2,11,1,17,5,13,1,6,1,30,1,28,4,6,1,7,1,6,1,29,1,6,1,29,1,6,1,30,1,29,1,28,1,29,1,28,4,30,1,28,7,30,1,28,1,30,1,28,1,29,2,28,1,30,1,29,1,28,1,29,1,28,2,6,1,30,1,29,1,28,1,6,1,29,1,28,1,6,1,29,2,6,3,29,1,8,1,13,3,30,1,8,1,6,2,7,1,30,1,29,1,28,1,29,1,7,1,28,1,30,1,7,1,28,1,30,1,13,1,7,1,8,1,30,1,13,2,6,1,28,1,6,1,24,1,6,1,8,1,24,1,13,1,8,1,13,2,24,1,7,1,13,4,8,2,9,1,24,1,9,1,13,1,24,2,13,1,24,1,8,2,13,2,29,2,30,1,29,1,30,1,28,1,30,1,28,2,30,2,28,16,30,1,28,20,30,3,28,1,6,3,29,2,7,2,6,1,7,1,8,1,29,1,13,1,6,1,8,1,10,1,24,1,8,1,24,1,8,1,13,1,24,1,8,1,24,1,8,1,13,1,8,1,24,1,10,1,24,1,12,2,24,1,10,1,17,1,12,1,10,1,9,1,17,7,12,1,17,4,11,2,17,4,11,1,12,1,17,7,12,2,17,3,12,1,17,7,10,1,17,1,12,1,8,1,17,1,10,1,17,9,16,2,9,1,16,5,9,1,16,1,9,1,16,1,17,1,16,1,10,1,16,1,11,1,17,1,11,2,16,1,9,1,16,1,9,3,16,1,8,1,9,1,16,1,9,7,11,2,9,2,11,1,13,2,11,1,9,1,11,1,9,2,10,1,9,2,11,1,10,2,16,2,11,2,9,4,8,1,13,6,9,1,8,1,10,2,8,1,17,1,16,1,9,1,6,1,28,76,6,1,28,1,13,1,29,1,13,2,10,1,24,2,9,1,10,1,12,1,17,2,10,1,28,78,29,2,30,1,7,1,13,2,7,1,13,2,24,1,13,1,24,1,8,1,9,7,11,1,8,1,6,2,13,1,28,6,6,1,13,1,28,2,13,1,28,1,30,1,28,1,13,2,6,1,7,1,30,2,29,1,30,1,6,1,28,1,13,1,6,1,30,1,13,1,29,1,13,1,6,3,7,1,13,2,30,1,7,1,6,1,13,1,29,1,7,1,6,1,13,1,6,3,13,6,29,1,7,1,13,2,30,1,13,1,29,1,13,1,6,2,13,2,9,1,13,1,7,1,6,1,13,7,33,2,5,1,33,111,5,287,13,1,9,1,8,2,10,1,8,1,11,2,12,1,17,1,12,1,17,5,10,1,11,1,12,1,10,2,8,1,24,3,9,1,8,1,10,1,12,1,24,1,9,1,12,1,17,1,12,1,17,1,11,1,17,7,11,1,17,5,12,1,11,1,17,1,12,1,17,2,12,5,17,1,12,1,17,4,12,2,17,2,12,1,17,5,10,1,17,1,13,1,8,1,13,1,8,2,10,1,13,2,11,1,8,1,10,1,11,1,17,12,12,1,17,1,12,1,10,1,9,1,12,1,8,1,12,1,13,1,8,1,29,1,24,1,8,1,7,1,9,1,17,7,11,1,12,1,8,1,24,1,8,1,9,1,8,1,9,1,8,5,10,1,12,2,17,1,12,1,17,1,12,1,17,2,12,2,17,1,12,1,11,1,17,1,12,2,11,1,12,1,10,1,12,4,17,1,12,1,17,2,12,1,17,1,12,1,17,4,12,1,17,2,12,1,17,1,10,1,12,1,17,1,9,1,11,2,12,1,17,4,12,2,10,2,11,1,12,1,17,3,11,1,16,4,9,2,16,1,11,1,9,4,13,1,9,1,8,1,9,1,10,1,9,1,11,1,9,3,16,1,9,3,13,1,11,1,9,2,8,1,13,6,6,1,13,1,8,3,13,1,8,1,13,1,9,1,13,1,8,2,9,3,11,1,12,1,8,1,9,1,11,1,9,1,16,2,9,1,16,1,11,2,8,1,9,1,10,1,9,1,8,1,11,1,10,3,9,2,10,1,9,2,16,1,11,2,9,1,24,2,28,1,8,1,28,1,30,1,15,2,8,2,15,1,14,1,10,1,15,1,9,1,7,2,30,1,28,3,30,2,28,1,30,1,28,2,29,1,30,1,8,1,15,1,17,2,16,1,11,1,13,1,8,1,9,1,8,1,13,2,12,1,17,1,9,2,11,1,17,1,11,1,9,1,13,1,16,1,17,25,11,1,9,1,11,1,17,1,9,1,11,1,9,1,8,1,9,1,17,1,8,1,12,1,17,1,10,1,12,1,11,3,17,1,9,2,17,2,10,1,12,1,8,1,12,2,9,1,8,2,9,1,10,1,11,1,24,1,17,1,12,1,8,1,9,1,17,1,24,1,8,4,24,1,7,1,6,2,28,2,29,1,28,21,6,1,28,2,30,1,28,1,26,2,27,2,26,1,25,1,8,1,25,1,24,1,6,1,30,4,29,1,28,1,29,1,28,2,30,1,28,2,30,1,29,1,30,1,6,1,29,1,30,2,6,1,7,1,6,1,29,1,13,1,8,1,10,1,24,1,8,1,12,1,8,1,24,1,12,1,13,1,7,1,24,1,6,2,29,2,6,1,28,6,26,1,28,8,30,1,29,1,7,1,6,1,28,14,29,1,28,27,13,1,9,1,24,1,17,1,11,1,9,1,8,1,6,1,7,1,30,1,29,1,6,1,29,1,6,1,30,1,29,2,30,1,29,1,28,1,26,1,27,1,26,1,25,1,26,2,24,1,8,3,24,1,13,1,24,3,13,2,12,1,10,1,9,1,10,2,9,1,17,1,24,1,11,1,17,2,24,1,17,1,24,1,17,1,10,1,12,2,24,1,17,2,9,1,17,1,10,1,11,1,12,1,9,1,10,1,9,1,12,3,17,1,11,1,17,3,10,1,12,1,17,1,12,1,10,1,11,1,17,5,16,1,17,1,9,1,16,1,17,1,16,1,12,1,9,1,17,1,10,1,12,1,17,1,12,1,17,1,9,1,11,1,17,1,16,1,12,1,10,1,12,3,16,1,11,1,16,1,11,1,16,1,17,1,11,1,17,1,11,1,9,1,16,1,17,1,16,2,17,1,11,1,17,3,9,1,11,1,13,1,7,1,13,3,8,1,13,3,6,2,13,1,7,1,13,1,6,1,13,3,7,1,6,1,7,2,13,2,6,2,13,4,6,1,7,1,6,1,13,1,6,1,13,2,8,1,6,1,8,1,13,1,8,1,24,1,13,1,8,1,9,1,8,1,13,2,9,2,13,1,24,1,9,1,8,1,10,1,12,1,9,1,17,1,8,1,16,1,8,1,11,2,17,1,9,1,17,1,9,1,10,2,9,1,11,1,17,1,11,1,12,1,10,1,11,1,9,1,11,1,10,2,16,1,11,1,9,1,10,1,9,1,16,1,10,2,9,1,17,1,9,1,12,1,9,1,11,1,9,1,12,1,9,1,17,1,13,1,8,1,11,1,9,1,8,1,10,1,9,1,11,1,8,1,13,1,9,1,8,1,10,1,9,1,11,1,10,1,11,1,12,1,10,1,17,1,11,2,17,1,9,4,13,1,9,1,11,2,8,1,24,1,10,1,9,3,11,1,10,1,9,4,17,1,12,2,9,1,8,1,9,1,11,1,8,1,9,4,8,1,9,1,8,1,6,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,2,24,1,8,2,9,4,8,1,9,1,13,1,9,2,8,1,13,1,9,1,13,2,9,2,24,1,8,1,10,1,11,1,9,1,8,1,9,1,8,1,12,2,10,1,13,1,9,1,17,1,11,1,13,2,8,2,13,5,7,1,13,1,8,1,6,1,7,1,13,1,6,4,30,1,6,1,29,1,30,1,29,1,28,73,30,1,28,5,6,3,28,1,6,2,13,1,6,1,13,1,8,1,10,1,9,1,13,2,8,1,9,1,28,2,6,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,28,8,30,1,13,2,11,1,5,29,28,12,24,1,10,1,11,1,8,1,13,1,24,1,13,1,6,1,7,1,6,2,7,2,8,1,10,1,8,1,10,1,13,1,28,6,24,1,9,1,13,1,28,1,30,1,28,30,15,1,8,1,10,1,13,1,6,1,7,1,8,1,17,1,9,1,8,1,13,1,}, {13,3,29,1,6,1,10,1,17,1,6,1,28,15,30,1,28,1,30,1,6,1,28,2,30,1,28,13,30,1,28,1,30,1,28,1,30,1,8,2,13,1,9,1,10,1,14,2,6,2,29,1,6,2,29,1,12,1,17,2,9,1,24,1,9,1,8,1,9,4,6,1,24,1,11,1,17,1,16,1,6,1,13,1,6,1,13,1,6,1,13,1,9,1,24,1,8,1,13,3,6,1,13,1,8,2,12,1,11,2,13,2,8,1,9,2,10,1,6,1,28,10,29,1,28,12,6,1,9,1,13,2,8,1,9,1,24,1,12,1,17,1,13,1,30,1,7,1,30,1,29,1,30,1,13,2,9,1,17,3,12,1,7,1,8,2,13,5,24,1,8,1,9,1,10,2,9,1,24,1,28,1,30,1,28,2,29,1,28,1,30,1,28,4,30,1,28,2,13,1,17,1,9,4,10,1,9,1,8,1,16,1,8,1,9,2,10,1,9,2,13,1,9,1,11,2,17,1,9,1,8,1,13,1,9,1,13,1,9,1,7,1,9,1,8,1,9,1,8,1,9,3,13,1,9,2,8,2,9,1,11,1,8,1,16,1,9,2,16,1,17,2,9,1,6,2,7,1,29,3,30,1,25,1,27,1,28,1,25,1,28,1,29,1,25,1,26,1,8,2,24,1,9,1,24,1,10,2,12,1,17,1,12,2,17,14,10,1,17,3,12,1,13,1,29,1,28,2,30,1,6,1,29,1,6,1,29,1,7,1,28,1,6,1,7,1,28,1,30,1,28,2,6,1,28,1,30,1,28,3,30,1,28,1,29,1,28,2,30,1,28,2,30,3,28,2,30,1,6,1,30,2,29,1,30,1,13,1,29,2,28,2,30,2,29,1,30,3,6,1,7,1,29,1,8,1,7,1,13,1,6,4,13,1,6,1,30,1,6,1,7,1,6,1,30,1,7,1,30,1,6,1,13,2,6,1,8,1,6,1,13,1,8,1,13,1,6,1,13,5,7,1,8,1,24,1,8,1,24,1,8,1,13,1,8,2,24,2,8,2,13,1,8,2,24,2,8,1,24,2,13,1,24,2,30,1,13,1,30,2,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,6,1,30,1,28,10,30,1,28,17,30,1,28,1,6,1,28,1,6,2,28,2,13,1,28,1,6,1,7,2,6,2,28,1,29,1,6,1,13,1,30,1,24,1,6,1,24,1,8,3,24,3,9,1,8,1,24,1,8,2,9,1,8,1,12,1,9,1,17,1,9,1,17,2,10,1,17,1,11,1,12,2,10,1,17,4,16,1,17,2,16,1,17,2,12,1,9,1,12,1,9,2,10,1,17,4,12,1,10,1,17,1,11,1,17,1,12,1,17,12,12,2,17,2,11,1,17,3,12,1,17,8,16,3,17,1,11,1,16,1,11,5,9,5,11,1,9,3,11,1,8,1,9,1,8,1,9,1,8,1,13,1,9,3,13,1,16,1,9,3,8,1,11,1,9,1,16,1,11,1,16,1,9,3,10,1,11,1,9,1,11,2,9,1,11,1,16,1,11,1,16,1,11,2,16,1,9,3,11,1,9,2,13,1,8,1,13,2,9,2,10,1,9,3,11,2,13,1,28,71,30,1,28,3,29,1,30,2,29,2,24,1,8,1,13,1,8,1,24,1,9,2,17,4,13,1,28,78,30,1,28,1,13,1,28,1,8,1,6,2,13,1,8,1,9,1,13,1,24,1,9,2,8,1,9,5,8,1,13,1,6,1,30,1,6,1,28,4,30,1,6,1,28,1,30,1,28,2,6,1,30,1,28,1,29,1,6,1,30,1,6,1,29,1,13,1,8,1,6,1,28,1,30,1,28,1,29,1,13,1,30,1,13,2,30,1,7,1,13,2,28,1,13,1,8,1,6,2,13,4,28,1,8,1,13,1,7,2,6,2,13,3,6,1,13,1,6,7,13,2,8,2,13,4,6,1,13,3,9,1,13,1,28,1,13,1,33,114,5,287,9,1,13,2,9,2,11,1,10,1,12,1,10,1,17,1,11,1,17,3,12,4,10,1,12,1,10,1,9,2,10,1,13,1,9,3,8,1,9,1,11,1,17,1,11,1,17,1,12,1,9,1,17,1,12,1,17,11,11,1,17,1,12,1,11,2,17,1,11,1,12,1,11,1,9,1,12,1,10,1,17,1,12,2,17,9,10,1,12,2,17,1,8,2,7,1,8,1,13,1,8,1,9,2,8,1,11,3,17,12,9,1,12,1,17,1,9,1,12,1,9,1,10,2,8,2,30,1,13,2,8,1,13,1,17,1,12,1,17,5,9,1,8,1,10,1,13,1,10,1,9,1,24,1,10,1,9,1,8,1,11,1,13,2,9,2,11,1,10,1,17,3,12,1,17,2,12,2,17,3,11,1,17,1,12,1,17,1,12,2,11,1,12,3,17,9,12,1,17,1,10,1,11,1,17,2,12,2,11,1,9,1,17,1,12,1,17,4,12,2,17,3,9,1,11,1,17,1,11,1,17,3,16,1,17,1,16,1,10,1,9,1,11,2,9,1,13,1,11,1,13,1,9,1,11,1,13,1,10,1,11,1,9,1,16,1,9,2,16,1,9,2,8,1,11,1,9,3,11,1,9,1,13,1,9,1,13,4,6,1,13,1,6,1,13,2,9,1,13,2,9,1,13,1,8,1,13,1,9,3,8,1,9,1,8,1,9,3,16,2,17,2,16,1,11,1,8,1,9,2,10,1,13,1,9,1,11,2,9,1,11,2,10,1,11,6,9,1,24,1,6,1,13,1,30,2,27,1,8,1,24,1,9,1,15,1,9,1,12,1,10,1,9,1,28,2,14,1,6,1,30,2,29,1,28,4,29,1,28,1,7,1,14,1,15,1,17,1,9,1,11,1,17,1,8,1,9,3,16,2,17,1,8,2,11,1,16,1,17,1,9,1,13,1,9,2,17,24,12,1,17,2,11,2,12,1,9,1,11,1,12,1,24,1,12,1,17,1,12,1,11,1,17,2,9,4,12,1,17,1,12,1,24,4,10,1,13,1,10,3,9,2,10,1,24,1,17,1,12,1,10,2,8,1,12,2,8,3,6,1,7,2,6,1,28,2,30,1,28,15,30,3,28,2,29,1,27,1,30,4,29,2,27,1,24,1,25,1,8,1,24,1,8,2,6,1,7,1,29,1,6,1,30,1,29,1,30,1,28,1,30,1,29,1,26,1,29,1,28,1,30,1,27,1,30,1,25,1,26,1,6,1,7,1,29,1,13,1,8,1,24,1,9,1,24,3,12,1,11,1,12,1,17,1,9,1,8,1,24,1,13,1,8,1,6,2,29,3,27,1,28,1,30,1,28,1,30,1,28,4,30,1,28,6,6,1,13,1,6,1,28,39,7,1,8,1,12,2,10,1,24,1,9,1,6,1,30,1,29,1,7,1,28,2,30,2,29,1,30,1,6,1,29,1,30,1,27,1,29,2,27,2,29,1,8,2,24,1,13,1,24,1,13,1,8,2,7,1,6,1,13,1,24,1,13,2,24,1,8,1,12,2,9,1,24,1,9,1,12,1,17,1,11,1,17,2,24,2,12,1,10,1,24,1,10,1,12,1,9,2,10,1,12,1,9,1,17,1,12,2,9,1,24,1,17,1,10,1,12,1,9,1,17,1,10,4,12,1,9,1,12,1,17,1,9,1,10,1,17,1,11,1,12,1,10,1,17,4,10,1,17,1,9,1,16,2,17,1,11,1,12,2,11,1,12,1,11,2,17,2,9,1,16,1,11,1,17,1,9,1,17,1,16,1,17,1,12,1,17,2,10,1,17,1,11,1,12,1,17,1,11,1,17,1,16,1,17,4,9,1,17,1,12,1,9,1,13,1,24,1,7,1,13,3,7,1,6,1,29,1,13,1,6,1,29,1,13,1,6,2,13,2,6,1,13,2,7,1,13,1,7,1,6,1,13,1,7,1,8,1,7,1,13,5,6,1,13,2,9,1,13,1,9,1,8,1,6,2,8,3,9,1,13,1,9,2,10,1,8,1,12,1,10,1,8,1,9,3,16,1,17,1,9,1,12,1,17,1,9,1,17,1,11,1,17,1,9,2,17,2,13,1,11,1,10,1,9,1,17,1,10,1,9,1,10,1,9,1,17,1,9,2,17,1,8,1,17,1,12,1,9,1,17,2,8,1,10,1,8,1,9,2,13,1,9,1,17,1,8,2,11,1,9,2,8,1,11,1,9,1,24,1,12,1,24,1,11,1,10,1,17,1,9,3,17,1,10,1,11,1,17,1,11,1,17,1,12,1,9,2,8,2,11,1,9,1,11,1,24,1,9,1,8,1,12,1,9,1,8,1,9,2,10,1,9,2,11,1,10,1,9,1,12,1,16,1,9,2,17,1,9,1,13,1,17,1,8,1,13,1,8,1,24,1,10,1,9,1,10,1,9,2,10,1,9,1,24,1,10,1,9,3,13,4,11,1,9,1,8,1,11,1,8,1,10,1,9,1,24,1,8,1,9,1,8,1,13,1,8,1,9,2,17,1,10,1,17,1,9,1,17,1,12,1,9,3,24,1,8,1,9,1,13,2,9,1,8,1,10,1,8,1,13,1,8,1,13,2,7,2,30,1,7,1,13,1,6,1,13,1,28,1,13,1,7,1,30,1,6,2,28,1,6,1,13,1,30,1,6,1,28,1,6,1,28,71,30,2,28,1,30,1,28,1,29,1,30,1,28,1,29,1,6,1,13,2,6,1,9,2,13,1,30,1,28,1,16,1,5,3,9,2,13,1,8,1,9,3,8,1,28,2,30,1,6,1,28,3,6,1,13,3,5,29,28,11,30,1,9,1,12,1,17,1,13,1,6,1,8,1,29,1,6,1,29,2,28,1,6,1,13,1,8,2,24,2,6,1,30,1,28,5,13,1,9,1,30,1,28,31,30,1,9,1,13,1,24,1,13,1,29,1,6,1,12,1,17,1,24,1,13,1,8,1,}, {13,1,6,1,30,1,7,1,30,1,24,1,17,1,6,1,28,6,30,1,28,2,30,1,28,5,30,1,28,3,6,1,30,1,28,1,30,1,28,5,30,1,28,10,13,1,8,1,13,1,9,2,17,2,14,1,13,1,7,1,13,1,30,1,6,1,28,1,9,1,17,1,11,1,9,1,13,3,8,1,10,1,8,1,9,1,13,1,6,1,9,1,17,1,10,1,7,1,13,1,29,1,6,2,8,1,9,1,17,1,12,1,13,1,8,1,7,3,13,1,24,1,9,1,17,1,11,1,9,1,6,1,9,1,8,1,9,2,7,1,28,10,30,1,28,1,30,1,28,9,30,1,28,1,7,1,13,1,8,1,9,1,10,1,12,1,17,2,24,1,6,1,30,1,6,1,29,1,6,2,13,1,10,1,17,3,8,1,9,1,13,2,6,1,13,1,6,1,28,1,6,1,13,1,8,1,9,2,10,1,12,1,8,1,28,3,30,1,28,1,30,1,28,5,29,1,28,2,6,1,12,1,10,1,9,1,8,1,11,1,9,2,11,2,13,1,10,1,11,1,9,1,17,1,9,2,13,1,16,1,9,1,11,1,9,2,11,1,6,1,9,1,13,1,9,1,8,1,9,1,8,3,13,1,11,1,9,1,13,1,8,2,9,2,16,1,10,1,9,3,11,1,9,1,17,1,9,1,29,1,30,1,6,1,29,4,27,1,28,1,27,1,29,1,28,1,26,1,29,1,25,1,8,1,6,1,13,1,24,1,8,1,10,1,12,1,17,2,12,1,9,1,17,16,12,1,17,2,10,1,13,2,29,1,30,2,7,2,6,1,30,1,6,1,28,1,29,1,6,1,30,1,28,2,29,3,28,1,29,1,28,3,30,1,28,3,30,1,29,1,28,3,30,1,29,2,30,1,28,4,6,2,30,2,28,3,7,1,6,2,8,1,29,1,8,1,6,3,8,1,13,1,8,1,13,1,30,1,6,1,29,1,7,1,6,1,30,1,8,1,13,1,29,1,13,1,6,2,13,1,29,1,6,1,7,1,6,1,30,1,13,1,6,2,29,1,13,2,24,1,13,1,7,1,24,2,8,1,24,1,10,1,13,1,24,2,8,1,9,2,8,1,9,1,24,1,9,1,24,1,8,1,13,1,8,3,24,1,6,2,13,1,28,1,6,1,29,3,28,4,29,1,28,13,30,1,28,19,30,1,28,1,29,1,28,1,30,1,29,1,30,2,6,2,29,1,6,3,29,1,13,1,6,1,13,1,8,1,7,1,24,1,8,2,12,1,8,1,13,2,8,1,24,3,8,1,24,1,9,1,24,1,12,1,10,1,9,1,17,1,12,3,11,1,10,1,17,3,11,1,17,1,9,1,17,2,10,1,17,1,12,1,9,1,17,2,12,1,11,1,17,3,12,3,17,1,24,1,17,4,9,1,17,6,12,2,17,5,12,1,17,3,10,1,17,8,16,1,11,1,9,1,11,6,10,1,11,2,9,2,11,1,9,1,11,1,10,1,9,1,10,1,11,1,16,1,11,1,9,2,10,1,9,4,11,2,13,1,9,1,11,1,9,1,11,1,9,1,11,2,10,1,9,1,11,1,9,2,11,2,16,1,11,4,9,1,11,2,9,1,11,1,9,1,16,1,9,3,11,1,8,1,11,1,8,1,10,1,9,2,11,1,9,3,11,2,9,1,13,1,28,21,6,1,28,54,30,1,6,3,7,1,8,2,24,1,8,1,9,2,17,4,12,1,30,1,28,79,29,1,7,1,6,1,30,1,8,1,13,3,8,1,24,1,8,1,9,1,8,1,9,2,8,2,9,1,11,1,9,1,13,2,28,1,6,1,28,4,30,2,28,1,30,1,28,3,13,1,30,1,6,1,30,1,7,1,28,2,6,1,28,1,6,2,13,2,6,1,13,2,30,1,13,1,6,1,13,3,6,3,29,1,6,1,28,1,6,1,28,6,30,1,13,1,6,1,29,1,6,1,13,3,6,1,13,2,6,1,13,2,8,1,6,3,13,2,6,1,13,1,6,1,13,6,6,1,8,1,9,1,13,1,28,1,13,1,5,1,33,2,5,1,33,106,5,288,9,1,13,1,10,1,9,1,11,1,12,2,8,1,12,1,10,1,11,1,17,1,12,1,17,3,10,1,12,1,9,1,12,1,11,1,9,1,12,1,24,1,10,4,11,1,9,2,17,1,12,2,10,1,12,2,17,2,12,2,17,8,12,1,11,1,10,1,9,1,12,1,10,2,9,3,10,1,12,1,11,1,12,1,17,7,12,1,11,1,24,2,10,2,13,1,8,1,7,1,13,2,8,1,9,1,13,1,24,1,10,1,9,1,17,13,12,3,11,2,24,1,10,3,24,1,13,1,7,1,13,2,7,1,13,1,9,1,17,6,9,1,11,1,9,3,13,2,24,1,8,1,13,1,10,1,7,1,13,1,9,1,8,1,9,1,17,1,12,1,17,3,12,1,17,2,10,1,12,1,17,1,12,3,17,2,12,1,17,1,12,3,17,1,12,1,17,2,11,1,12,1,17,4,12,1,17,4,10,1,11,1,10,1,9,1,17,1,12,3,17,2,12,2,17,1,11,2,10,1,12,1,11,1,17,3,16,2,17,1,16,1,9,1,17,2,11,1,9,1,13,1,9,1,16,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,10,1,11,3,9,5,13,1,9,2,8,1,13,7,6,1,13,3,9,1,8,1,9,1,13,2,8,2,9,2,11,1,9,1,8,1,13,1,11,1,10,1,11,1,16,1,17,1,11,1,16,1,9,4,8,1,9,3,11,1,9,1,16,3,11,1,9,2,11,2,9,1,7,1,8,1,24,1,28,1,30,1,27,1,30,2,26,1,7,1,30,1,8,1,15,1,9,1,28,1,30,1,6,1,9,1,13,1,29,1,30,1,28,1,30,1,28,1,29,1,7,1,8,1,13,1,17,2,11,1,24,1,12,1,9,1,7,1,12,1,16,2,11,1,8,1,11,1,8,1,13,1,10,1,17,2,13,1,9,2,13,1,17,26,11,1,12,1,11,2,9,1,24,1,12,1,10,1,12,1,11,1,10,1,12,2,10,1,9,1,10,1,12,1,10,1,17,2,13,1,10,1,12,2,24,1,10,1,9,1,17,1,8,1,12,1,9,3,11,1,9,1,17,1,10,1,9,1,8,1,24,2,10,1,7,1,6,1,8,1,29,2,6,1,28,14,6,1,28,8,12,1,30,1,29,1,28,3,25,1,26,2,27,1,8,1,25,1,24,2,25,2,8,2,29,5,25,1,6,1,27,1,30,1,29,1,27,2,28,1,26,1,25,2,24,1,6,1,24,1,8,2,12,1,24,1,10,2,12,1,17,2,11,1,17,1,12,1,10,1,13,4,6,1,27,1,25,1,29,1,27,1,28,2,29,2,28,10,30,1,6,1,24,1,28,15,30,1,28,21,13,2,8,1,9,1,24,1,8,1,24,1,8,1,7,2,6,1,7,2,29,2,6,1,29,1,30,1,28,2,27,1,30,3,26,1,29,1,27,1,25,3,6,2,7,2,30,1,6,1,7,1,13,1,7,1,12,1,8,1,13,2,8,1,24,1,12,1,24,1,9,1,12,3,17,1,9,1,10,1,12,1,9,2,8,1,9,1,10,1,24,1,10,1,12,1,9,1,17,1,9,2,24,1,12,1,17,1,9,1,12,4,9,1,17,1,9,1,10,1,12,1,9,1,10,1,9,1,10,1,12,2,11,2,17,2,11,1,12,1,11,2,10,1,16,1,11,1,9,1,11,1,17,1,16,1,17,1,10,1,17,2,16,2,11,1,10,2,17,1,12,1,11,1,9,1,16,1,12,1,9,1,11,1,12,1,17,3,10,1,17,1,11,1,17,8,12,1,17,1,16,1,9,3,13,2,7,1,6,1,28,1,6,1,13,2,7,3,13,2,7,2,13,1,30,1,13,5,6,1,29,1,30,1,13,2,7,1,6,1,7,1,13,3,7,1,9,1,13,1,8,1,6,1,24,1,11,1,9,1,13,1,9,2,13,1,10,1,9,2,10,1,11,1,8,1,12,1,11,1,9,4,11,1,9,1,11,1,16,1,17,1,13,1,12,3,9,1,10,1,9,1,11,1,13,1,12,1,9,1,8,1,17,1,11,1,8,1,12,2,17,2,11,1,12,1,11,1,10,1,9,1,11,1,10,1,8,1,9,1,13,1,9,1,10,1,9,2,24,1,10,1,11,2,8,1,10,1,13,1,9,1,12,1,24,1,11,1,17,1,12,1,11,2,9,1,10,1,12,3,17,1,11,1,10,2,8,1,10,2,9,1,10,1,9,1,10,2,12,1,9,1,13,2,9,1,11,1,10,1,9,2,8,1,9,1,11,1,10,1,9,3,8,1,10,1,8,1,9,1,12,1,8,1,11,1,13,1,9,1,12,1,13,1,8,1,9,1,10,1,9,1,13,1,8,1,9,1,10,2,11,1,9,2,10,1,13,1,11,1,10,1,8,1,9,1,11,1,8,1,10,1,6,1,9,2,11,1,10,2,11,1,9,2,17,1,9,1,10,2,11,1,9,1,8,2,13,1,8,1,9,1,8,1,13,1,24,1,9,2,13,1,8,1,9,1,13,3,6,1,13,3,6,2,13,1,6,3,13,1,29,1,6,1,7,1,30,1,7,1,30,1,28,1,30,1,28,71,30,2,28,2,29,1,28,2,30,1,6,1,30,1,6,1,13,2,10,2,13,1,28,1,30,1,5,6,9,2,8,1,13,1,8,1,13,1,6,2,30,1,28,3,6,1,13,1,8,1,9,1,5,29,28,12,10,1,17,2,9,1,30,1,13,1,8,1,30,1,6,1,29,1,7,1,29,1,13,1,8,1,24,3,8,1,28,6,7,1,15,1,30,1,28,32,8,1,10,1,13,1,6,2,30,1,9,1,12,1,24,2,7,1,}, {8,1,13,1,6,2,29,1,9,1,15,1,7,1,30,1,28,8,30,1,28,8,30,1,28,4,29,1,28,14,30,1,7,1,9,1,8,1,13,1,8,1,9,1,14,1,16,1,10,1,6,2,29,1,13,1,28,1,24,1,17,2,9,1,8,1,30,1,24,1,9,2,8,2,7,1,13,1,9,1,17,1,11,1,13,1,6,2,30,1,13,1,8,1,17,1,9,1,24,1,9,1,8,1,6,1,7,1,6,1,13,2,9,1,17,1,11,1,13,1,6,1,8,1,13,1,8,1,14,1,13,1,30,1,28,12,30,1,28,2,30,1,28,1,30,1,28,4,29,1,7,1,6,1,10,1,24,1,8,1,12,1,17,2,8,1,30,1,6,3,30,1,6,1,13,1,10,1,12,1,17,3,8,2,13,2,8,1,13,2,8,1,24,1,13,1,12,1,11,1,15,2,6,1,30,1,28,6,30,1,28,3,30,1,28,2,13,1,9,1,10,1,9,1,10,1,9,3,10,1,16,1,10,1,9,4,13,1,9,1,10,1,8,1,11,1,9,1,13,1,11,1,10,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,2,11,1,16,1,8,1,11,1,9,1,10,1,9,3,11,1,8,1,9,1,16,1,9,1,16,1,8,1,6,1,7,1,29,2,28,1,27,2,29,1,30,2,25,1,28,1,26,1,30,1,8,2,7,1,8,1,24,2,12,3,17,1,12,1,17,1,12,2,17,11,10,1,17,5,12,1,8,1,13,2,6,5,30,1,29,1,6,1,30,1,6,1,30,2,28,5,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,2,29,2,7,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,28,1,29,1,30,1,28,2,6,1,28,1,13,1,29,1,13,1,6,1,8,2,6,2,29,1,6,1,7,1,29,1,7,1,29,1,6,1,7,1,13,1,29,1,13,1,29,1,6,1,30,1,6,1,13,1,6,2,8,1,6,2,13,2,7,1,29,1,6,2,13,2,8,1,24,1,8,2,13,2,24,2,13,1,24,1,13,1,9,4,24,3,8,4,6,1,13,1,29,1,6,1,7,1,6,1,29,1,28,1,29,1,28,1,30,1,29,1,28,2,6,1,30,1,28,31,30,3,28,1,30,1,29,1,28,1,29,1,6,2,30,1,6,4,30,1,6,1,13,1,6,1,24,1,8,1,7,1,8,2,24,1,8,1,7,1,13,1,8,2,24,1,12,1,9,1,12,1,11,1,10,1,12,1,10,2,8,1,17,1,10,1,17,1,11,1,17,1,11,1,12,2,17,1,10,1,17,1,12,3,17,2,10,1,17,3,10,1,17,1,12,1,10,1,11,1,12,1,17,4,10,1,17,4,12,1,17,3,12,1,17,8,10,1,17,10,16,2,11,3,16,1,11,1,9,1,11,1,9,1,16,1,9,1,16,1,9,1,11,2,9,1,11,2,16,1,9,1,11,3,9,3,13,1,9,2,11,1,9,6,16,1,9,3,16,1,11,1,9,1,11,2,16,1,11,2,16,1,11,1,9,1,11,1,9,5,13,1,9,5,13,1,9,8,16,1,8,1,28,73,30,3,28,2,6,3,8,1,6,1,24,2,8,1,17,3,10,1,17,2,6,1,28,81,6,3,29,1,7,1,24,1,6,1,9,1,24,1,13,1,24,1,8,1,12,1,8,1,9,2,13,1,17,1,13,1,9,1,13,1,6,1,30,1,28,2,30,2,28,1,30,1,28,3,6,1,28,2,13,1,28,3,29,1,30,1,6,2,28,1,30,1,29,1,6,2,29,1,6,1,30,1,6,1,30,2,13,1,6,1,30,1,6,2,13,1,30,2,13,2,30,2,6,1,29,1,6,1,28,1,30,1,29,1,13,1,6,1,30,2,28,1,13,2,6,2,13,1,6,1,13,2,6,1,30,1,9,1,13,1,28,1,13,2,6,2,13,1,6,1,13,1,6,1,13,3,9,2,13,1,6,3,33,1,6,1,33,106,5,288,9,1,13,1,9,2,13,1,24,1,10,1,24,1,11,1,12,1,17,7,12,1,11,1,10,1,12,1,24,1,8,1,12,1,10,1,12,1,10,1,9,1,12,1,9,2,11,1,12,1,9,1,17,1,12,1,11,1,17,1,10,1,12,1,17,11,12,1,17,2,8,2,9,3,10,2,12,2,17,4,12,2,17,1,12,1,9,1,12,1,9,2,7,1,8,1,13,1,9,1,8,4,9,1,11,1,9,1,11,1,17,13,12,1,24,2,10,1,9,1,8,1,10,1,24,1,8,1,9,1,6,1,13,3,9,1,13,1,8,1,17,6,24,1,11,2,8,2,9,1,8,2,13,1,8,2,7,3,9,1,10,1,17,1,12,2,17,3,12,1,11,2,12,1,11,1,17,1,10,1,17,2,10,1,17,1,12,1,11,1,17,2,12,1,17,5,12,1,17,4,12,3,17,2,9,1,10,1,11,1,17,1,12,1,17,1,12,1,17,1,12,2,10,1,11,1,17,1,10,1,9,1,17,1,10,1,11,1,17,3,11,3,16,1,17,1,9,2,11,1,9,2,11,1,10,1,11,1,9,1,11,3,8,1,9,1,11,1,9,2,16,1,8,1,10,1,8,1,11,1,9,1,11,1,8,1,13,4,6,1,8,1,13,2,6,1,9,1,8,2,13,1,8,2,13,1,9,1,8,1,10,1,9,3,13,1,9,1,10,1,9,2,11,1,17,1,16,2,11,1,9,3,10,1,11,1,9,1,11,3,10,1,16,2,11,3,16,1,11,1,16,2,10,1,7,1,10,1,28,1,29,1,30,1,29,1,28,1,29,1,30,1,28,1,24,1,15,1,8,1,6,1,30,1,28,1,30,1,13,1,9,1,14,2,15,4,14,1,15,1,14,1,9,1,24,1,11,1,17,1,7,1,29,1,13,3,8,1,13,1,9,2,11,1,17,2,13,2,8,1,9,1,11,1,17,26,11,1,17,1,9,1,12,1,17,1,11,1,10,1,9,1,11,1,9,1,12,1,17,1,11,1,17,1,12,2,10,2,12,1,17,1,12,1,24,1,9,1,8,1,13,1,24,2,12,1,8,1,9,1,24,1,9,1,24,2,9,1,12,1,24,1,9,2,24,3,13,2,24,1,29,1,6,1,30,1,28,22,29,1,6,1,28,1,30,3,27,1,26,1,27,1,25,1,26,1,10,1,25,1,12,1,6,1,8,2,25,1,8,2,6,3,7,1,29,1,25,1,6,1,29,1,27,3,25,1,26,1,24,1,6,1,8,1,24,4,12,1,10,1,12,1,9,1,11,1,17,5,11,1,9,1,24,1,13,1,8,1,10,1,25,1,29,1,26,1,29,1,30,3,28,1,30,1,28,9,6,1,7,1,13,1,30,1,28,35,7,1,24,1,12,1,9,1,13,3,6,3,29,1,7,1,30,1,29,1,30,3,29,1,30,1,29,3,27,1,29,1,28,1,30,1,27,1,29,1,25,1,27,1,25,1,29,1,6,1,26,1,7,2,6,1,7,1,6,1,7,1,6,1,13,1,8,1,10,1,24,4,9,1,12,4,8,1,12,1,10,1,9,1,12,1,24,1,10,3,24,1,12,1,10,1,24,1,13,1,9,4,24,1,10,1,12,1,17,1,12,1,17,1,11,1,10,1,24,1,12,1,10,1,11,1,8,1,12,1,9,1,11,1,10,1,12,2,17,1,12,1,11,1,17,1,16,1,17,1,9,1,17,1,11,1,16,1,17,1,9,1,17,1,9,1,12,1,10,1,11,1,17,1,11,1,12,1,10,1,17,1,12,1,11,1,10,1,11,1,17,1,11,2,9,1,17,1,11,2,16,1,17,1,10,1,17,10,16,1,17,1,9,1,11,2,9,1,13,1,7,1,6,1,8,1,13,1,29,3,6,1,13,1,29,1,13,4,6,2,13,1,6,1,7,1,6,1,7,2,13,3,6,1,8,1,6,1,13,1,6,1,13,1,8,1,13,2,8,1,6,1,24,1,10,1,13,1,8,2,10,1,24,1,9,1,8,1,10,1,8,1,9,1,10,1,9,1,10,2,9,2,17,1,16,2,11,2,8,1,9,2,11,1,12,4,9,2,10,1,11,1,9,1,17,1,11,1,10,1,12,1,9,2,12,1,9,3,11,4,9,1,11,1,17,1,12,1,11,2,9,1,11,1,17,1,11,1,13,1,9,1,12,2,9,1,10,1,12,1,10,1,12,1,10,1,9,1,10,1,16,2,11,1,17,1,16,1,11,2,10,2,13,1,10,1,9,1,11,1,13,1,11,1,17,1,13,1,10,1,12,1,10,1,9,3,12,1,9,1,11,1,17,1,16,1,17,1,9,1,17,1,9,2,11,1,9,1,11,2,10,1,11,1,10,1,9,1,10,1,8,1,24,1,8,3,9,1,13,1,9,1,24,1,9,2,8,1,13,1,9,2,10,1,9,1,10,1,11,1,9,1,10,2,17,1,10,3,11,1,12,1,9,2,8,1,17,1,12,1,9,1,10,1,9,1,6,1,24,1,17,1,8,1,9,2,13,2,9,2,8,2,9,1,13,1,8,1,13,2,8,1,13,2,6,3,13,1,6,1,13,1,8,1,7,1,11,1,24,1,8,1,29,1,13,2,6,1,30,1,13,1,29,1,28,1,6,1,28,2,7,1,30,3,28,1,30,3,28,59,30,2,28,1,30,1,28,2,30,1,28,1,30,1,29,1,6,1,13,1,11,1,9,1,13,1,28,1,9,1,5,7,9,1,13,1,9,1,13,3,29,1,28,2,6,2,8,1,13,1,9,1,5,29,28,11,30,1,9,1,16,1,11,1,9,2,13,1,7,2,13,1,29,1,7,1,29,1,13,1,8,1,24,1,9,1,17,1,13,1,28,6,9,1,8,1,28,32,30,1,12,1,9,1,8,1,6,1,29,1,13,1,9,1,24,1,12,1,8,1,6,1,}, {6,1,8,1,6,1,29,1,7,1,8,1,15,1,8,1,28,9,6,1,28,9,30,2,28,6,30,1,28,9,30,1,28,1,6,1,8,4,9,1,17,1,14,1,24,1,13,1,30,2,29,2,8,1,17,2,11,1,7,1,13,1,10,1,8,1,24,1,8,1,9,1,29,1,7,1,24,1,17,2,6,2,30,2,6,1,24,1,9,1,12,2,7,1,13,2,7,1,13,2,9,2,17,1,12,1,24,1,8,1,28,1,24,1,9,2,13,1,28,13,30,1,28,8,30,1,28,1,13,2,9,1,8,1,24,1,10,1,17,1,10,1,9,1,30,1,6,1,30,1,6,1,13,1,6,1,13,1,8,1,17,4,24,1,10,1,13,2,8,1,6,1,13,2,8,1,10,1,12,1,15,1,12,2,13,1,30,3,28,5,30,1,28,5,30,1,10,1,17,1,9,1,11,1,9,1,12,1,8,1,9,1,11,1,9,3,8,1,13,1,9,2,8,1,9,2,11,1,8,1,9,3,13,1,16,1,9,1,13,3,8,1,9,1,11,1,8,1,9,1,11,1,9,1,8,1,10,1,9,1,13,1,9,3,11,1,16,1,11,1,9,1,13,1,7,1,29,2,27,1,28,1,26,1,30,1,28,1,25,1,30,1,29,1,27,2,25,1,6,1,7,1,13,1,8,1,24,3,10,1,12,1,17,1,12,2,17,6,12,1,17,8,12,2,11,1,17,3,24,1,13,1,24,1,13,1,29,1,6,1,29,1,6,1,7,1,30,1,29,2,30,1,6,1,29,1,28,2,29,1,30,2,28,1,6,1,29,1,28,2,6,1,29,1,28,1,30,1,29,1,6,1,28,1,29,1,30,1,28,3,29,1,28,1,6,2,29,1,30,1,6,1,28,2,6,1,30,1,6,2,29,1,8,1,6,1,13,2,29,1,6,1,7,1,29,1,13,1,7,1,6,1,7,1,6,1,7,1,29,2,6,3,13,1,8,1,7,1,6,2,13,1,30,1,29,1,6,1,29,1,13,2,8,1,13,1,8,1,13,1,24,1,13,1,24,2,13,1,24,3,13,1,8,1,11,2,10,1,9,2,24,1,13,1,12,1,13,1,9,1,24,2,8,1,6,1,8,1,6,1,29,1,6,2,30,1,29,1,30,1,13,1,6,3,30,1,28,34,30,1,29,1,28,3,30,1,6,1,28,1,7,1,29,1,30,1,13,1,29,1,13,1,30,1,13,1,7,2,24,1,13,1,24,2,8,1,7,1,24,1,13,1,8,1,24,1,10,1,12,1,24,2,17,1,11,1,10,1,9,1,17,1,10,1,17,1,9,1,10,1,17,3,11,1,17,1,10,1,9,2,12,1,17,2,12,2,10,1,17,1,12,2,17,1,12,1,17,1,10,1,12,1,17,3,12,2,10,1,17,3,12,1,17,1,10,1,17,3,12,1,17,2,9,1,17,6,12,1,17,9,16,1,11,1,17,1,16,2,11,2,16,2,9,1,16,4,11,5,16,3,11,1,9,2,11,1,10,1,9,1,10,1,9,5,11,1,9,1,11,2,9,2,11,3,16,1,11,1,16,1,9,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,9,1,11,2,9,7,11,1,9,5,11,1,13,1,28,21,6,1,28,52,6,1,29,1,30,1,6,1,30,1,6,2,7,1,8,1,13,2,9,1,17,1,12,1,17,3,9,1,28,81,30,1,13,1,7,1,13,1,6,1,13,1,8,1,7,1,24,1,8,1,9,1,8,2,10,1,8,2,9,2,11,1,8,1,9,1,30,1,28,5,30,1,28,1,6,1,28,1,30,1,6,1,30,2,28,1,13,1,6,1,28,3,6,1,30,3,6,1,29,1,30,2,28,1,30,1,13,2,30,1,29,1,13,1,6,1,30,3,29,1,6,1,30,1,8,1,28,1,30,1,6,3,30,1,28,1,6,2,30,1,28,1,13,1,30,1,29,1,28,2,6,1,13,1,28,1,6,1,8,1,30,1,8,1,13,4,8,1,13,1,30,1,6,1,13,3,8,1,9,1,8,1,13,4,9,1,13,1,9,4,13,1,33,105,5,289,9,2,7,1,8,1,10,2,9,1,12,1,11,1,17,1,12,1,17,1,11,1,17,1,10,1,17,1,10,1,12,1,17,1,8,1,24,1,9,1,8,1,10,2,8,1,10,2,12,1,11,1,9,1,17,1,12,2,17,17,12,1,10,2,12,1,17,9,12,1,17,2,12,2,9,1,12,1,9,1,8,2,13,4,9,2,8,1,9,1,11,1,12,2,17,12,12,1,24,1,11,1,10,1,24,1,13,1,10,1,24,1,9,1,24,1,8,1,13,1,8,4,13,1,8,1,12,3,17,3,10,2,24,1,8,1,9,1,8,1,13,2,9,1,13,1,9,1,24,1,29,1,30,1,13,1,8,1,11,1,12,1,11,1,17,4,12,1,10,1,11,1,12,1,17,1,11,1,12,1,17,1,12,1,11,2,12,1,11,1,17,1,12,1,17,1,12,1,17,1,12,2,17,1,11,1,17,2,12,2,17,2,10,1,12,1,9,1,17,3,12,1,17,1,10,1,17,1,12,2,17,1,11,3,10,2,12,1,9,1,17,5,16,2,11,1,10,1,9,1,16,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,9,2,11,1,9,2,11,1,9,1,16,1,11,2,9,1,8,1,13,5,6,4,8,1,13,1,8,1,9,3,13,1,8,2,9,1,8,1,9,2,11,1,9,1,10,2,11,2,16,3,11,1,9,6,11,1,10,1,11,3,16,4,11,2,17,1,16,1,8,2,13,1,28,2,30,1,29,1,28,2,13,1,14,1,9,1,13,1,7,1,6,2,30,1,6,3,8,2,11,1,10,1,11,1,9,1,11,1,9,2,10,1,17,2,13,1,28,2,13,1,7,1,13,1,9,2,10,1,17,1,16,1,8,1,13,1,9,2,13,1,11,1,17,2,13,1,9,1,17,7,11,1,17,14,9,1,17,1,10,1,17,1,9,1,11,1,9,2,10,1,17,1,10,1,9,1,10,2,11,1,24,1,9,1,12,1,17,1,9,1,8,1,24,1,9,1,13,1,9,1,12,1,9,1,10,1,24,3,9,1,10,2,12,1,8,1,12,1,8,1,13,1,8,1,24,1,13,1,8,1,6,1,28,1,27,1,30,1,29,1,28,4,30,1,28,3,29,1,28,7,29,1,28,4,29,2,28,1,30,1,28,1,30,1,27,1,29,1,25,1,27,1,26,1,8,2,24,1,8,1,24,2,8,1,7,1,24,1,8,1,6,1,13,2,6,2,30,1,26,1,29,1,6,1,30,1,25,1,26,1,24,1,8,1,25,1,8,2,24,1,10,2,24,1,9,1,12,1,17,6,11,1,17,2,12,1,24,1,8,2,24,1,13,1,6,1,27,1,29,1,27,1,30,2,28,7,30,1,28,4,13,1,6,1,28,33,13,2,8,1,13,1,24,1,7,1,6,1,13,1,7,1,30,3,29,2,30,1,29,1,30,1,29,2,30,2,28,2,27,1,28,1,30,1,29,1,27,2,26,1,29,4,27,1,29,1,28,1,29,1,30,1,28,1,7,1,6,2,8,1,24,1,13,1,24,3,8,1,12,1,24,1,8,1,17,1,12,1,9,1,10,1,12,2,9,1,8,1,24,1,8,1,10,1,8,1,10,1,17,1,9,1,10,1,9,1,12,1,9,1,12,1,9,1,11,1,17,1,12,1,8,1,9,1,12,1,11,1,9,1,12,1,9,1,12,1,9,1,12,2,17,1,9,1,17,2,12,1,17,2,11,1,16,1,11,1,16,1,17,1,10,1,12,1,17,1,10,1,12,1,11,1,17,1,16,1,9,2,17,1,11,1,17,3,12,1,11,1,17,1,11,1,17,2,11,2,17,1,10,1,17,3,11,1,17,1,16,1,17,3,11,1,17,5,16,1,17,2,12,1,9,1,8,1,13,6,7,2,6,1,13,1,6,1,7,1,6,1,7,2,6,1,7,1,29,1,13,1,6,1,13,1,30,1,8,2,13,1,6,1,13,1,7,2,13,2,8,2,13,1,7,1,13,1,8,3,13,1,9,1,10,1,8,1,11,1,8,1,9,1,11,1,10,1,9,1,10,1,8,1,11,1,12,1,16,1,11,1,12,1,9,1,17,1,12,1,11,2,17,1,11,2,10,1,17,1,10,1,12,1,9,1,17,1,8,1,17,1,10,1,11,1,12,1,11,1,17,1,9,1,16,1,17,1,11,1,17,1,10,1,9,1,11,3,10,2,17,1,11,2,12,1,9,1,17,1,9,1,17,1,8,2,11,2,12,1,9,2,17,1,10,1,9,1,11,2,12,1,17,1,10,1,8,1,11,1,17,1,12,1,11,1,9,1,11,2,17,1,12,1,9,1,24,1,9,1,12,1,9,2,12,2,11,2,10,1,9,3,12,1,11,2,8,1,10,1,9,1,17,1,9,2,12,1,8,1,24,1,9,1,10,1,11,2,9,2,17,1,8,1,9,1,11,1,8,2,12,2,10,1,9,1,8,1,9,2,8,1,10,1,11,1,9,2,11,2,9,1,12,1,13,1,11,2,9,1,8,1,10,1,9,1,8,1,9,1,8,1,9,4,11,1,13,1,12,1,7,1,9,1,8,2,13,1,9,1,13,3,7,1,8,2,7,1,9,1,30,1,9,2,30,1,13,1,6,1,13,2,8,1,13,2,8,1,13,2,28,1,6,1,13,3,28,1,6,2,13,1,30,1,6,1,7,3,30,1,7,1,6,2,30,1,28,61,30,1,28,1,30,1,29,1,28,2,6,1,13,3,28,2,5,7,13,4,6,1,30,2,6,1,13,2,9,1,16,1,5,29,28,11,6,1,9,1,17,2,10,1,13,1,8,1,7,1,8,1,29,1,6,1,30,1,6,1,13,2,6,1,17,1,12,1,8,1,28,6,10,2,7,1,28,31,6,1,14,1,9,1,24,1,13,1,30,1,7,1,8,1,12,1,9,1,13,1,6,1,}, {13,1,8,1,30,1,6,2,9,2,6,1,28,4,30,1,28,3,30,1,28,9,30,1,28,16,30,1,28,1,30,1,28,1,7,1,17,1,13,1,9,3,17,1,16,1,8,1,30,1,29,1,28,2,13,1,8,1,17,3,13,1,8,2,9,1,24,2,7,1,6,1,13,1,8,1,17,2,7,1,6,1,30,1,6,1,30,1,8,1,17,2,12,1,8,3,13,1,9,1,8,1,9,2,17,1,9,2,6,1,7,1,6,1,8,1,15,1,13,1,30,1,28,11,30,2,28,3,30,1,28,1,30,1,28,3,6,1,29,1,7,1,13,1,24,1,9,1,24,1,12,1,14,1,24,1,29,1,13,1,29,1,6,1,7,1,6,1,13,1,8,1,17,4,24,1,8,1,13,2,7,1,8,1,13,1,24,1,9,1,12,2,10,3,7,1,6,1,28,2,30,1,28,7,30,1,28,2,7,1,8,1,17,1,9,1,11,1,9,1,16,1,11,1,9,3,8,1,9,1,11,1,13,1,10,1,13,1,9,2,11,1,13,1,9,2,8,1,16,1,9,2,8,1,9,1,13,2,9,3,13,1,11,3,9,3,8,1,9,1,8,1,9,1,16,1,11,1,16,1,11,1,8,1,6,1,28,1,29,1,30,1,27,3,29,3,26,1,28,1,7,1,29,1,6,1,7,1,13,1,24,1,7,1,9,1,12,1,9,1,17,1,12,1,17,1,11,1,17,1,12,1,17,16,10,1,17,2,10,1,24,1,13,1,6,1,13,1,6,1,7,1,6,2,7,1,29,1,30,1,29,1,30,2,6,1,30,2,6,1,28,1,30,3,29,1,28,1,6,1,28,2,6,2,28,1,30,2,28,2,30,1,28,3,29,1,30,1,28,1,30,1,29,1,30,1,28,1,6,1,30,1,6,1,8,1,7,1,29,1,13,1,8,1,29,1,7,2,6,3,7,1,8,1,13,1,6,1,29,2,13,1,6,2,7,1,13,1,6,2,7,1,13,1,29,1,6,1,7,1,24,1,6,1,7,1,6,2,13,1,6,1,13,1,7,1,13,1,24,3,13,1,8,1,24,4,8,1,9,1,8,1,9,1,8,1,9,2,8,1,24,1,8,4,29,1,13,1,30,1,6,1,7,1,29,1,6,2,28,1,6,1,7,1,30,1,29,2,28,1,29,3,28,10,29,1,28,24,30,2,29,1,30,1,13,1,29,1,6,1,28,1,6,1,29,1,13,1,7,1,8,1,13,1,7,1,13,1,7,1,24,1,8,3,13,1,24,2,8,1,12,1,10,1,12,1,9,1,17,1,11,1,17,2,8,1,9,1,12,1,11,1,17,1,9,1,17,2,9,2,12,1,17,1,12,1,17,1,12,1,11,2,17,1,9,1,17,1,24,1,17,1,12,1,24,1,12,1,17,1,12,1,11,1,17,6,12,1,17,2,9,1,17,2,9,1,17,5,12,2,17,1,12,1,17,4,11,1,17,5,16,9,11,2,16,1,11,2,9,1,16,1,11,2,16,1,11,1,9,1,11,2,16,1,9,2,11,1,9,5,11,3,9,1,16,1,11,2,9,1,11,1,16,1,11,1,16,1,11,3,16,1,11,2,9,1,16,1,9,1,11,1,9,1,16,1,10,1,11,2,9,5,11,2,9,2,11,1,9,2,16,1,9,1,28,71,30,1,28,1,29,1,28,1,30,1,29,1,30,1,13,1,29,1,13,4,12,1,8,1,9,1,17,5,9,1,28,80,30,2,13,1,7,1,29,1,13,1,7,1,8,1,6,1,13,1,24,1,9,2,12,1,24,2,8,1,24,1,9,1,16,1,9,2,28,1,13,1,28,8,30,1,28,1,30,1,6,1,30,2,28,3,30,2,28,1,30,4,6,2,30,1,6,1,30,1,13,2,30,1,13,1,6,2,13,1,7,1,6,1,30,1,28,3,6,1,30,1,6,1,28,1,30,4,28,1,13,1,6,1,28,1,30,1,6,1,30,1,13,1,30,1,7,1,13,1,29,1,13,2,30,1,13,1,30,1,6,2,13,2,6,1,13,3,6,1,13,5,6,1,13,1,9,1,13,1,11,1,13,1,9,1,8,1,9,2,6,1,5,1,33,1,5,1,33,100,5,289,9,1,13,1,9,1,8,1,17,1,11,2,12,1,11,1,12,1,17,1,11,1,17,2,12,1,10,1,17,1,8,1,10,1,12,1,9,1,12,1,9,2,24,1,12,1,9,1,17,1,12,2,10,1,9,1,12,1,17,16,12,1,9,1,17,1,24,1,12,1,9,1,17,5,12,1,10,1,17,2,12,1,17,1,12,4,10,1,8,1,13,1,7,1,13,1,8,1,9,2,8,1,10,1,9,1,12,2,17,14,11,1,17,1,12,1,9,2,24,3,8,2,9,1,8,2,13,1,24,1,10,1,8,1,10,1,17,4,12,1,17,2,10,1,24,1,8,1,10,1,9,1,8,1,13,1,24,2,13,2,30,1,13,1,7,1,9,1,12,6,17,1,10,1,12,3,17,2,12,4,10,1,9,1,17,1,12,3,17,1,12,2,17,3,12,1,17,4,9,2,12,2,17,1,12,1,17,1,12,1,10,1,17,2,11,2,17,1,12,1,11,2,9,1,11,3,12,1,17,4,11,2,9,2,11,1,9,1,11,1,16,1,11,2,16,1,9,1,11,4,10,1,9,1,10,1,11,1,9,3,11,1,10,1,9,2,13,5,6,1,7,1,13,4,8,1,13,2,8,1,13,1,8,2,9,1,8,2,10,1,9,3,16,1,11,1,10,1,11,2,17,2,11,1,9,5,11,6,16,3,11,1,16,1,11,2,9,1,11,1,9,1,13,1,15,1,13,1,6,2,30,1,24,1,10,1,15,1,9,1,6,1,13,1,6,1,30,1,13,1,30,2,6,1,13,1,9,1,16,1,11,1,9,3,10,1,16,2,17,5,16,1,17,1,16,1,17,4,9,1,13,1,9,1,10,1,9,1,8,1,17,2,9,1,28,2,7,1,30,1,6,4,30,1,28,1,13,1,17,11,11,2,12,2,11,1,9,1,10,1,9,1,10,1,12,1,11,1,9,1,10,1,16,1,11,1,10,1,17,2,12,1,17,1,11,1,9,1,12,1,8,1,24,2,8,2,24,1,10,1,24,1,10,1,8,1,10,1,24,1,12,1,8,1,24,1,10,1,8,1,12,1,24,1,6,2,30,1,8,1,29,1,27,1,28,1,27,1,30,1,27,1,28,1,30,1,28,7,30,1,28,1,30,1,28,6,6,2,28,3,29,1,28,1,26,1,29,1,27,1,25,1,8,1,24,1,8,1,12,1,24,3,8,1,24,2,13,1,24,1,13,1,8,1,7,1,13,2,25,1,8,1,25,1,29,1,26,1,6,1,25,1,8,1,24,1,12,1,8,1,24,2,10,1,8,1,11,2,17,1,16,2,17,1,16,1,17,5,10,1,9,1,24,3,7,1,6,1,27,1,29,1,30,2,28,2,30,1,28,10,8,1,29,1,28,31,13,1,8,2,24,1,8,1,29,2,30,2,28,1,29,1,28,2,30,1,28,1,30,1,29,1,28,1,6,1,28,5,30,1,28,1,29,1,28,2,29,1,28,1,27,2,29,1,26,1,29,1,28,2,29,3,28,1,7,1,6,1,8,1,13,1,24,2,8,1,9,1,24,1,12,2,10,1,8,2,9,1,17,1,9,1,12,2,17,2,9,1,12,1,24,1,12,1,10,1,12,2,9,4,12,1,10,1,17,1,8,1,17,1,12,1,17,1,12,3,11,1,12,1,11,1,9,1,17,1,12,2,17,1,11,1,17,3,12,1,17,1,11,1,12,1,11,1,16,1,17,1,12,1,10,1,17,1,10,3,16,2,11,1,12,2,17,2,10,1,11,1,17,2,16,1,17,1,16,2,17,2,11,1,17,3,16,2,17,3,16,1,17,2,12,1,17,2,16,1,17,2,11,3,9,2,13,1,7,1,13,1,8,1,13,2,29,1,13,1,7,1,6,1,13,3,7,2,13,3,7,1,13,3,6,1,13,1,8,1,6,1,13,1,7,1,13,2,6,1,13,4,6,1,9,1,13,1,11,1,24,1,8,1,9,3,12,1,10,1,11,3,9,1,17,1,9,1,16,1,12,1,9,1,17,3,9,1,17,1,9,1,11,1,9,2,11,1,17,1,10,1,12,1,10,1,9,1,17,1,9,1,11,1,12,1,11,1,17,1,12,2,8,1,10,2,17,1,11,1,10,1,9,1,12,1,11,1,9,2,17,1,16,1,13,1,9,1,13,1,17,1,11,2,9,1,11,1,9,1,17,2,9,1,10,1,17,1,11,1,12,1,11,1,17,1,11,1,10,1,12,1,9,1,17,1,16,1,17,1,16,1,12,1,9,1,11,1,8,1,9,1,11,1,9,1,10,1,11,1,9,1,11,1,10,1,17,1,11,1,9,3,10,1,9,1,17,1,9,1,10,1,9,1,12,1,9,1,12,1,10,1,9,1,11,3,9,1,24,1,9,2,11,1,10,1,9,2,11,1,10,1,9,1,10,1,9,2,11,1,9,3,11,2,10,1,17,1,12,1,11,1,9,2,10,1,9,5,10,1,9,2,12,1,9,1,13,1,11,1,13,1,9,2,13,1,9,1,24,1,9,2,6,1,8,1,13,6,9,1,13,1,9,1,13,1,8,1,9,1,8,1,13,2,8,1,13,2,8,1,13,2,9,1,8,1,24,1,13,2,6,1,13,2,8,1,7,1,13,1,7,1,6,2,29,1,6,2,29,1,30,1,29,1,28,62,30,1,28,8,6,2,28,2,6,1,5,6,9,2,13,1,7,1,13,3,9,1,11,1,5,30,28,11,30,1,16,1,17,1,16,1,17,1,8,1,9,1,13,2,6,1,7,1,29,1,6,1,8,2,24,1,12,1,17,1,29,1,28,6,15,2,13,1,28,1,30,1,28,29,6,1,17,1,15,1,8,1,6,1,29,1,6,1,9,3,13,1,7,1,}, {8,1,13,1,6,1,13,1,29,1,9,1,17,1,8,1,30,1,28,8,30,1,28,10,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,9,7,1,8,1,13,2,7,1,9,1,17,1,16,1,8,1,30,3,28,1,29,1,8,1,17,2,11,1,8,3,24,1,9,1,8,1,13,1,6,2,8,1,17,2,13,1,6,1,30,1,6,1,30,1,13,1,12,1,10,2,8,1,13,1,8,2,24,1,13,1,9,1,16,1,17,1,11,2,7,1,6,1,8,2,14,1,13,1,28,2,30,1,28,8,30,1,28,1,30,2,29,1,28,6,29,3,8,4,24,1,17,1,15,1,9,1,7,1,6,5,13,1,8,1,17,3,16,1,8,3,24,1,13,2,7,1,8,1,10,1,9,1,12,1,9,1,15,1,9,1,6,1,30,1,28,1,30,2,28,5,30,1,28,4,6,1,12,1,11,1,12,1,11,2,9,1,16,1,9,1,13,1,9,1,8,1,9,1,11,1,9,5,13,1,9,3,13,2,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,11,1,9,1,10,1,11,2,9,5,13,1,9,2,8,1,17,1,16,1,8,1,29,1,30,1,27,3,30,1,29,1,27,1,29,1,26,1,29,1,6,3,7,1,13,1,8,1,13,2,10,1,9,2,12,5,17,10,12,1,17,1,12,2,9,1,17,1,12,1,11,1,17,1,11,1,17,2,13,5,8,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,7,1,30,1,7,1,28,1,30,1,6,3,28,1,30,1,29,1,6,1,29,3,28,2,29,1,6,1,28,6,30,2,28,3,6,1,29,1,7,1,28,2,8,1,29,1,8,1,6,4,8,1,13,1,7,1,13,1,6,2,30,1,13,2,29,1,8,1,29,1,8,1,6,2,24,1,29,1,13,1,24,1,29,1,6,3,30,1,6,1,13,1,8,1,12,1,7,1,8,4,24,1,7,1,13,1,8,1,24,2,10,1,9,3,10,2,8,3,13,2,8,1,13,1,6,1,7,1,6,1,8,1,6,1,7,1,6,1,7,1,6,1,7,2,6,1,28,1,30,1,28,3,6,1,28,36,30,3,28,2,7,1,28,1,29,1,28,1,30,1,29,1,6,1,13,1,8,3,17,1,29,1,9,1,8,1,7,1,24,1,9,2,12,1,9,1,10,1,8,1,12,1,17,1,11,1,10,1,8,1,17,1,11,1,17,1,11,1,12,1,17,1,9,1,17,1,11,1,17,2,10,1,12,1,17,2,12,1,24,1,17,1,12,1,9,1,24,1,12,1,24,1,11,1,17,1,12,1,17,1,12,2,17,1,11,2,17,1,12,1,17,2,12,1,17,2,12,1,17,4,12,1,17,8,11,1,17,5,16,1,17,1,16,2,11,1,16,8,11,1,16,2,11,1,16,1,11,1,16,1,11,3,16,2,11,2,9,1,11,1,16,2,9,2,10,1,16,1,11,1,10,1,11,1,9,1,11,3,16,2,11,1,16,2,9,1,11,3,16,1,11,6,9,5,11,2,9,2,11,1,9,1,11,1,9,1,16,1,28,24,29,1,28,45,30,1,28,6,30,1,6,2,13,1,8,1,13,1,8,1,13,1,12,2,11,1,17,4,11,1,29,1,28,81,29,1,28,1,6,3,8,2,7,1,9,3,13,1,8,1,24,1,12,1,8,3,12,1,9,1,13,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,28,1,6,1,28,5,30,1,28,2,6,1,28,1,6,1,30,1,28,1,30,1,6,1,13,1,9,1,6,3,13,1,6,1,13,1,6,2,30,1,13,1,6,3,30,1,28,1,6,3,28,1,6,1,13,1,28,1,29,1,28,2,30,1,28,1,13,1,30,1,6,1,29,1,6,1,28,1,29,1,6,1,13,1,6,1,30,2,28,2,13,1,6,1,13,1,6,5,13,1,6,1,28,1,6,1,13,5,9,2,11,1,8,1,9,3,13,2,33,1,5,1,33,99,5,289,9,1,13,1,9,1,10,2,17,1,9,1,10,1,12,1,11,1,12,1,17,2,10,1,11,1,17,1,12,2,24,1,11,1,12,1,9,1,24,1,12,1,10,1,24,1,9,1,12,1,24,1,12,1,10,1,17,1,11,1,17,1,12,1,17,12,12,1,17,1,12,1,11,1,9,1,10,1,13,1,17,4,12,1,17,1,10,1,17,1,12,2,10,1,12,3,9,3,8,2,13,1,8,3,11,1,10,1,9,1,10,1,17,15,12,1,10,1,12,1,8,1,24,1,8,1,10,1,9,1,8,2,13,1,8,2,13,1,8,1,7,1,13,1,10,2,17,4,24,1,17,1,12,1,10,1,8,2,10,1,8,1,13,1,9,2,13,4,29,1,8,1,10,1,11,1,10,1,17,1,9,1,11,1,17,1,9,1,17,1,10,2,17,3,12,1,17,1,12,1,11,1,12,4,17,1,12,6,17,1,12,1,17,3,12,1,10,1,11,1,17,3,12,1,17,1,12,1,17,2,12,1,11,1,12,1,11,5,17,1,12,1,17,2,11,1,16,3,9,2,11,1,10,1,11,1,10,1,11,2,9,3,16,1,9,1,16,1,9,1,11,2,16,1,11,4,9,1,16,1,11,1,8,1,9,1,13,10,7,1,8,1,13,1,8,1,7,1,8,1,13,1,9,1,13,2,8,1,9,3,11,1,9,2,11,1,16,1,11,1,16,2,11,2,9,2,8,1,9,1,10,1,11,3,9,2,16,1,11,1,16,5,11,3,10,1,11,1,14,1,15,1,14,1,11,1,16,1,9,3,6,1,28,1,6,1,13,1,6,1,30,1,6,1,13,2,9,1,13,1,11,1,9,2,16,1,11,1,17,4,11,1,16,1,17,1,11,1,17,2,13,1,8,1,9,1,13,1,11,1,9,1,13,1,9,1,11,1,17,1,12,1,30,1,28,4,30,1,29,1,8,1,9,1,11,1,17,6,16,1,17,2,11,1,16,1,11,1,12,3,9,2,12,1,24,1,12,1,17,2,11,1,17,1,11,1,17,1,11,3,10,1,17,2,12,1,24,1,8,1,12,1,9,1,13,1,24,1,8,1,24,1,13,1,24,1,10,1,8,2,24,3,8,2,10,1,9,1,8,1,24,2,8,1,6,1,29,1,30,1,26,1,28,1,30,1,29,1,28,1,29,1,28,2,30,1,28,14,6,1,28,2,30,4,29,1,8,1,27,1,6,1,8,1,24,2,10,1,24,1,8,1,9,1,24,2,8,1,24,2,7,1,8,1,24,1,7,2,13,1,8,1,7,1,8,2,24,1,13,1,24,1,8,1,9,1,8,1,9,1,12,2,10,2,11,1,17,1,10,1,11,1,16,1,17,8,9,1,8,2,24,2,13,1,30,1,29,1,27,1,30,3,28,8,30,1,28,1,30,1,29,1,28,27,30,1,8,2,13,1,10,1,24,1,8,1,29,1,30,1,6,1,30,1,28,1,29,1,30,1,28,1,29,1,28,1,29,3,30,2,6,1,28,1,30,2,29,1,28,1,30,1,28,1,30,2,27,1,30,2,29,2,28,1,27,1,6,1,30,1,29,1,28,3,6,1,28,1,29,1,6,2,24,2,13,1,9,1,24,1,9,1,8,1,10,1,12,2,9,1,12,1,10,1,12,2,13,1,17,1,12,1,8,1,10,1,9,1,12,1,9,1,12,3,11,1,9,1,12,1,8,1,12,1,9,1,17,1,10,2,12,1,17,1,9,1,10,1,12,5,10,1,17,1,12,1,17,1,9,1,11,1,17,1,12,1,10,1,11,1,10,1,12,1,9,1,8,1,10,1,17,1,9,1,17,2,9,1,17,2,12,1,17,1,11,1,10,1,17,1,11,1,17,1,11,3,17,1,16,1,17,2,11,1,17,5,16,1,17,2,16,1,17,1,16,1,17,9,9,1,17,1,11,1,13,1,9,2,13,2,6,2,30,1,7,1,30,1,13,1,6,1,30,1,13,4,29,1,6,1,13,1,6,1,8,1,6,1,13,2,8,1,13,1,8,1,13,2,8,1,13,3,7,1,8,2,13,1,8,1,24,1,8,1,9,1,10,2,8,1,11,2,9,2,17,1,10,2,12,1,17,1,11,1,9,1,17,1,11,1,17,1,10,1,12,2,11,1,9,1,10,1,11,1,10,1,12,1,17,1,12,1,17,1,10,1,9,1,17,1,11,2,17,1,11,1,12,1,10,1,9,1,10,1,9,1,10,1,11,4,12,1,17,1,9,1,10,1,9,1,10,1,11,2,8,1,17,1,10,1,9,1,17,1,10,1,9,1,11,2,9,1,12,1,9,1,11,1,17,1,10,1,11,1,17,1,12,1,17,1,12,1,9,1,12,1,10,1,11,1,9,2,10,1,13,1,9,2,10,1,9,2,17,1,9,1,11,1,9,1,8,1,17,1,12,1,17,2,9,1,17,1,11,1,17,1,12,1,11,1,17,1,9,1,11,1,9,1,12,2,9,1,24,1,10,1,9,1,11,1,9,2,12,1,9,1,12,1,11,3,9,1,13,1,16,1,11,1,17,1,11,1,9,1,8,1,17,1,9,2,8,1,9,1,13,1,9,2,13,1,10,2,8,1,9,1,10,1,9,1,8,1,13,1,10,1,13,1,11,1,8,2,9,1,8,1,13,2,8,1,9,4,13,1,9,2,10,1,13,1,8,1,13,1,8,1,24,1,8,6,9,3,13,4,8,2,13,1,8,1,6,2,28,1,6,2,7,1,6,1,7,1,30,2,28,1,30,1,28,74,33,1,5,5,33,1,9,1,13,4,5,32,28,12,14,1,17,2,9,1,24,1,13,2,8,1,6,1,13,1,7,1,13,1,8,1,13,1,8,1,17,2,30,1,28,5,29,1,14,2,13,1,28,1,29,1,28,29,13,1,15,2,24,1,13,1,30,1,13,1,11,1,12,1,10,1,8,1,24,1,}, {24,1,6,1,7,1,6,2,13,1,17,1,9,1,6,1,28,8,30,1,28,9,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,9,6,2,8,3,16,1,17,1,14,1,8,1,6,1,28,1,29,1,30,2,13,1,17,2,13,2,24,1,8,1,9,2,8,1,9,1,13,1,8,2,16,1,17,1,9,1,13,1,29,1,6,2,7,1,10,1,15,1,9,1,8,1,13,6,17,2,12,1,8,2,29,1,6,1,8,1,15,1,8,1,28,10,30,1,28,2,6,2,30,1,28,7,6,1,7,2,13,1,24,1,9,1,12,2,14,1,15,1,7,1,6,1,13,1,6,1,29,2,13,1,9,1,11,1,17,3,9,1,13,1,8,1,13,1,24,1,13,2,8,1,12,1,24,1,9,1,12,1,10,1,17,1,13,1,28,1,30,1,28,12,6,1,17,4,9,1,16,1,11,1,9,2,10,1,13,1,16,1,11,1,8,1,12,1,8,2,9,1,13,1,8,2,11,1,8,1,13,1,9,1,13,1,9,2,6,1,9,2,8,1,9,1,11,1,9,1,11,1,9,2,8,1,9,1,11,1,16,1,13,1,9,1,11,1,9,1,16,1,9,1,28,1,30,1,29,1,30,3,28,1,30,1,27,1,25,1,29,1,30,1,29,1,6,2,7,1,13,1,8,2,24,2,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,7,11,1,17,7,12,2,17,2,9,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,28,1,7,1,30,1,6,2,29,2,7,1,29,1,13,1,30,2,29,1,6,2,28,1,30,1,28,1,13,1,6,1,28,1,30,1,6,1,29,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,1,29,1,24,1,13,1,7,1,6,1,13,1,6,2,7,2,6,2,13,1,7,1,6,2,8,1,30,1,13,1,6,1,7,1,6,2,13,1,6,2,13,1,8,1,30,1,13,1,6,1,13,2,29,1,6,2,24,1,8,1,13,1,24,3,13,2,24,2,8,2,13,1,8,1,24,1,11,1,24,3,8,1,13,1,8,1,6,1,24,1,8,1,13,1,6,1,13,1,6,2,13,1,6,1,29,1,6,1,7,2,28,1,6,2,29,1,30,2,28,3,30,1,28,26,30,1,28,6,30,4,28,1,29,1,30,1,6,1,30,1,6,1,7,2,24,1,8,1,24,1,13,2,6,1,24,1,7,1,24,1,9,1,24,1,12,1,24,1,12,1,8,1,10,1,24,1,12,3,9,1,12,1,9,1,10,1,11,1,9,2,11,3,17,1,12,1,9,1,12,1,10,2,12,1,17,3,24,1,10,1,12,1,10,1,12,1,9,2,17,1,11,1,17,1,11,1,12,2,17,1,11,1,17,3,11,1,17,22,16,2,11,1,16,1,11,2,10,1,16,3,17,1,16,1,17,1,16,3,11,1,16,6,11,1,16,3,11,1,16,1,11,4,9,1,16,1,11,2,16,2,11,1,16,1,11,1,16,2,9,1,11,3,9,1,16,1,11,2,16,2,11,1,16,1,11,1,9,1,11,1,9,4,16,1,11,4,9,2,11,1,9,1,28,24,13,1,28,50,29,1,30,1,6,1,29,1,6,1,24,1,8,2,10,1,24,1,17,1,10,1,17,5,13,1,28,81,6,1,30,1,7,1,8,1,13,1,6,1,13,2,8,1,24,1,13,1,10,2,9,1,10,2,24,1,13,1,9,1,11,1,9,1,13,1,30,1,6,3,30,1,28,2,6,1,28,1,6,2,13,1,6,1,30,1,6,1,28,9,6,1,29,2,28,1,9,1,13,1,30,1,6,1,30,1,13,1,30,1,13,1,8,1,29,1,6,2,30,1,13,1,28,1,30,1,6,1,28,2,29,1,6,1,30,1,6,2,30,1,6,1,29,1,30,1,28,1,13,1,6,1,7,1,28,2,6,2,28,3,6,2,9,1,29,1,30,1,6,1,13,1,6,1,13,1,7,1,30,1,13,1,6,1,13,3,9,1,8,1,7,1,13,1,28,1,13,2,8,2,13,1,9,1,16,1,9,1,13,2,5,1,33,1,5,1,33,98,5,289,9,3,11,2,10,1,17,1,10,1,17,5,11,1,12,1,17,1,12,1,10,1,12,1,9,1,10,1,9,2,8,1,10,1,9,1,8,1,10,3,17,2,10,1,12,1,17,14,11,1,9,1,10,1,9,1,24,1,10,2,17,1,12,2,17,1,12,1,17,1,11,2,9,1,17,1,12,1,17,1,24,1,10,1,13,1,6,1,13,4,8,2,12,1,11,1,17,18,11,1,13,2,9,1,13,1,12,1,9,2,8,1,9,1,8,1,24,1,9,2,10,2,9,1,11,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,13,2,24,1,8,1,13,1,8,1,13,1,8,1,6,1,7,1,29,1,13,1,10,1,12,1,10,1,12,1,11,1,12,6,11,1,12,1,17,1,11,2,17,1,12,1,17,1,12,1,17,1,12,4,11,1,12,1,17,1,12,1,17,2,12,1,17,1,12,1,10,1,17,4,12,1,11,1,12,2,11,1,12,1,17,2,12,1,10,1,17,1,11,1,9,1,17,1,10,1,9,1,17,2,16,1,11,1,13,1,11,1,9,1,10,1,9,1,16,1,9,1,11,3,16,3,11,2,16,1,10,1,16,1,11,2,16,1,11,4,9,1,11,1,8,2,13,4,29,1,30,1,13,1,6,1,13,7,8,1,13,1,9,1,13,1,9,1,13,3,8,1,9,2,11,3,16,1,11,4,9,1,11,1,9,1,11,6,9,1,11,1,16,7,11,1,16,1,9,1,17,1,12,1,24,1,9,1,11,1,13,2,11,1,9,1,6,1,13,3,6,1,13,3,6,3,9,1,13,3,6,1,16,1,17,6,16,3,13,1,30,3,6,1,13,1,11,1,17,2,12,1,30,5,29,1,8,1,17,8,16,2,17,1,9,1,17,2,9,1,11,1,9,1,12,1,8,1,9,1,17,1,10,1,17,1,10,1,11,1,10,1,9,1,17,1,11,1,12,1,10,1,16,1,11,1,17,4,10,1,24,1,9,1,8,1,10,1,12,1,8,2,12,1,8,1,12,1,24,1,10,1,9,1,8,1,9,1,10,1,9,1,8,2,6,1,24,1,7,1,6,1,29,1,25,1,29,1,27,1,29,1,30,1,29,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,3,30,2,28,5,7,1,28,3,30,2,6,1,27,1,25,1,26,1,8,1,25,1,24,2,8,1,24,4,8,1,24,1,8,1,24,2,13,1,8,1,29,1,24,1,6,1,8,1,6,1,13,1,7,1,6,1,24,2,13,1,24,1,8,1,24,1,9,1,12,1,17,1,9,1,17,1,12,1,16,1,17,3,16,1,17,8,10,1,9,1,8,1,24,2,6,1,29,1,28,1,25,1,27,1,28,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,7,1,6,1,28,25,13,1,8,1,6,1,13,3,29,1,6,1,29,1,30,1,28,1,29,1,28,2,30,2,28,2,27,1,30,1,6,1,29,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,29,1,30,1,28,1,29,1,28,1,26,1,29,1,30,3,29,1,28,1,29,1,28,2,30,2,29,1,30,1,29,1,6,1,8,2,10,1,24,1,12,1,9,1,10,1,17,1,9,2,17,1,10,1,17,2,10,1,11,1,9,1,12,1,24,1,9,2,12,1,17,1,10,1,9,1,12,1,17,1,12,3,10,1,12,1,10,1,12,1,9,1,12,3,24,1,10,1,17,1,12,2,17,1,9,1,12,1,17,2,10,1,17,1,10,2,17,1,9,1,11,4,17,2,16,1,11,2,9,1,11,1,17,4,11,3,16,1,11,1,17,1,11,1,17,28,16,1,11,1,10,1,9,1,7,2,13,3,6,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,2,13,1,30,1,13,1,6,3,13,1,7,1,13,4,6,1,10,1,9,1,11,1,8,2,13,1,11,1,13,1,8,1,11,1,8,2,9,1,10,1,12,1,17,1,9,1,17,1,10,1,16,1,11,1,17,1,10,1,11,1,12,1,9,1,17,3,10,1,11,2,9,4,10,1,11,2,10,1,11,2,13,1,12,1,9,2,10,1,9,1,12,1,8,1,17,1,10,1,11,1,9,1,10,1,9,1,8,1,12,1,16,1,9,2,10,1,9,1,12,2,8,1,9,1,17,3,12,1,24,1,12,1,9,1,12,1,10,1,17,1,12,1,11,1,17,1,9,1,16,1,10,1,16,1,10,2,9,1,12,1,11,1,9,1,11,1,13,1,10,2,11,1,12,1,8,1,11,2,12,1,8,1,12,1,9,1,17,1,10,1,17,1,11,1,10,1,11,1,17,1,12,1,11,2,9,3,10,1,9,1,12,1,8,1,10,1,9,1,11,1,10,1,9,1,12,1,9,1,11,1,9,3,17,2,9,1,10,1,9,5,8,1,9,1,11,1,9,2,11,1,13,2,10,1,9,1,8,1,9,3,10,1,8,1,9,1,11,1,8,1,9,1,8,3,9,1,13,1,7,1,8,1,9,1,10,1,9,1,13,2,12,1,8,1,9,1,13,1,9,1,10,1,9,2,8,2,13,1,8,1,24,1,9,1,10,1,8,1,13,1,9,1,10,1,13,1,8,1,7,1,13,3,8,1,13,4,6,1,8,1,7,1,6,1,13,1,30,2,28,19,30,1,28,2,30,1,28,25,30,1,28,1,30,1,28,2,30,1,6,1,29,1,28,17,13,1,5,40,33,1,28,11,6,1,9,1,17,3,9,1,24,1,13,1,8,1,29,2,6,1,9,1,24,2,17,1,12,1,17,1,7,1,28,5,6,1,14,1,15,1,13,1,28,1,30,1,28,29,13,1,17,2,13,2,30,1,6,1,17,2,15,1,8,1,13,1,}, {9,1,13,2,6,1,30,1,24,1,17,1,9,1,28,21,30,1,28,3,29,1,28,10,30,1,28,1,30,1,13,1,8,1,24,1,8,1,13,1,9,1,14,2,8,1,6,2,30,1,28,2,13,1,12,1,17,1,11,1,8,1,28,1,8,2,10,1,9,1,13,1,8,1,13,1,8,1,17,2,8,1,6,1,28,1,6,2,13,1,16,1,15,1,12,1,13,4,8,1,9,1,12,1,9,1,16,1,12,1,8,2,7,1,13,1,10,1,11,1,13,1,29,1,30,1,28,13,30,1,28,8,6,1,30,1,24,1,13,1,8,2,17,1,14,2,13,1,30,1,6,1,28,1,13,1,29,1,7,1,13,1,12,1,17,3,24,1,13,1,7,1,13,2,7,2,8,1,9,2,10,2,12,1,14,1,7,1,28,5,29,1,28,8,13,1,11,1,17,2,11,2,16,1,9,2,11,2,9,1,10,1,11,2,9,1,16,1,8,1,9,4,8,1,9,1,13,1,9,2,13,1,9,3,8,1,13,1,9,1,11,1,10,2,17,1,9,2,11,1,16,1,9,3,16,1,11,1,10,1,9,1,13,1,29,2,27,1,26,1,30,1,29,1,25,1,30,1,26,1,27,1,25,1,27,1,26,1,27,1,25,1,8,1,24,1,8,3,17,4,12,1,17,2,12,1,17,1,12,1,17,6,12,1,17,2,12,1,17,4,12,1,17,2,12,1,17,2,24,1,7,2,13,1,7,1,13,1,6,2,8,1,13,1,6,1,7,1,6,1,29,1,6,2,8,1,29,1,30,2,29,2,6,1,28,1,29,1,6,1,30,1,29,1,6,5,28,1,29,1,6,1,28,1,30,1,6,1,30,2,6,3,13,1,30,1,7,1,6,1,8,1,29,1,6,1,7,1,30,1,7,1,13,1,30,1,7,1,13,2,8,1,13,1,7,1,29,1,6,1,7,1,8,1,7,1,6,1,30,1,13,3,7,2,30,1,7,1,6,1,7,1,30,1,13,1,6,1,13,2,24,2,12,1,8,2,13,1,8,1,24,1,8,1,24,1,13,1,10,1,24,1,9,1,8,1,24,1,13,1,8,1,24,1,8,1,13,1,6,1,13,3,29,1,13,1,6,1,29,1,6,1,30,1,13,1,6,3,28,1,30,1,29,1,30,1,29,1,28,7,30,1,28,29,30,1,28,1,30,1,28,3,30,1,29,1,28,1,30,1,28,1,7,2,6,1,7,2,24,1,8,1,24,1,8,1,24,1,8,1,12,1,24,1,9,2,17,1,12,1,11,1,12,1,24,1,17,1,9,1,10,1,12,1,9,1,17,1,11,1,12,6,17,2,13,1,12,1,9,1,10,2,8,1,24,1,9,1,12,2,17,1,12,1,17,1,10,1,17,3,12,2,10,1,9,1,17,9,16,1,17,11,11,1,17,4,16,2,9,1,16,5,17,1,16,2,11,2,10,1,11,1,16,1,11,3,16,6,11,1,16,2,17,1,11,4,16,1,11,3,16,1,11,10,16,3,11,1,16,2,11,2,9,1,11,2,9,2,11,1,16,2,10,2,9,3,10,1,11,1,7,1,28,23,6,1,28,52,30,1,29,1,7,1,6,1,13,1,8,2,24,1,12,1,9,1,17,6,30,1,28,81,30,1,6,1,13,2,7,1,13,1,24,1,6,1,13,1,12,1,24,2,9,1,8,1,24,1,13,1,11,1,9,2,16,1,13,2,30,1,9,1,28,2,6,1,28,3,30,1,6,1,9,1,13,1,6,1,28,1,30,1,6,1,28,3,30,1,28,2,30,1,28,1,6,1,30,1,28,2,13,1,28,1,30,1,28,2,13,3,6,1,13,1,6,1,28,2,30,2,28,1,30,2,6,1,30,2,6,1,30,1,13,1,30,1,28,3,13,2,30,1,13,2,30,1,6,4,29,1,8,1,30,2,6,1,29,1,13,3,6,2,13,2,6,1,13,3,8,1,13,3,7,1,13,2,7,1,13,1,9,3,13,1,9,1,11,1,9,1,13,3,33,98,5,290,9,1,17,1,10,1,11,1,12,3,17,1,24,1,11,1,17,1,12,4,10,1,17,1,11,1,9,1,10,1,11,1,9,1,12,1,11,1,9,1,10,1,12,1,11,1,17,1,11,1,17,15,12,1,17,1,12,1,11,2,24,1,12,1,11,1,9,1,17,2,12,1,11,1,12,2,10,2,17,2,11,1,24,2,9,1,6,1,8,1,7,1,8,1,9,2,11,1,10,2,11,1,17,16,12,1,11,1,9,1,10,1,9,1,29,1,9,1,24,1,8,2,9,1,13,1,24,1,8,1,9,1,8,1,24,1,10,1,12,1,13,1,12,1,17,2,12,1,17,2,12,1,9,1,24,1,10,1,9,1,6,1,13,1,7,1,13,2,7,1,6,2,9,1,12,1,17,1,12,2,11,2,12,2,10,1,17,2,12,2,10,1,17,1,11,1,17,5,12,1,17,1,12,5,17,4,9,2,17,2,12,2,17,2,12,1,17,1,10,1,17,1,10,1,12,1,17,3,12,1,11,2,12,2,11,3,10,1,11,1,8,2,9,1,11,2,17,1,11,1,10,1,11,2,9,1,11,2,16,2,11,2,16,1,11,1,16,1,9,3,11,3,9,2,13,7,29,1,13,1,8,2,13,1,8,1,13,1,9,1,13,2,9,1,7,1,13,1,9,1,13,1,9,4,16,2,17,1,11,2,16,1,11,2,9,3,11,4,16,1,11,1,16,1,11,1,16,4,11,1,16,1,11,1,9,1,11,3,16,1,13,1,30,1,6,1,30,1,13,1,16,2,13,5,6,1,30,1,13,1,6,1,13,2,6,1,13,2,6,1,13,1,9,1,16,1,17,7,16,1,17,7,11,1,13,1,30,1,28,2,30,1,28,1,30,1,13,1,10,1,17,8,11,1,16,1,10,1,17,1,10,1,11,1,9,1,11,1,17,1,9,2,11,1,12,1,10,2,11,1,10,2,9,1,16,1,11,1,17,1,11,1,9,1,17,1,11,1,17,1,11,1,24,1,17,1,10,2,9,2,24,2,12,1,9,3,24,2,13,1,9,1,11,1,8,3,12,1,8,1,24,1,30,1,7,1,29,1,26,1,30,2,29,3,28,1,30,4,28,5,30,1,28,1,30,3,28,3,29,4,28,1,6,1,30,1,6,1,26,1,25,1,8,1,24,2,8,1,24,3,8,1,10,1,24,2,8,1,9,1,24,1,10,1,8,1,24,1,8,1,13,2,8,1,13,1,24,1,7,1,9,1,12,1,10,1,13,1,9,1,12,2,9,2,10,1,11,2,17,1,16,1,17,1,16,2,17,1,16,1,17,3,16,1,17,1,11,1,17,3,12,1,9,1,24,1,13,1,24,1,13,1,29,1,7,1,30,1,6,1,30,1,28,2,30,4,28,2,24,1,6,1,30,2,29,1,28,19,30,1,13,2,8,2,7,1,6,2,30,1,28,1,30,2,28,1,27,1,28,1,29,2,30,2,28,1,29,1,30,1,28,2,29,2,28,1,29,1,28,1,30,1,28,2,29,2,30,1,29,2,30,1,28,1,30,2,27,1,30,1,28,1,30,1,28,1,29,1,30,3,28,1,30,1,29,1,8,2,13,1,8,1,24,1,9,1,10,1,12,2,17,2,11,1,17,2,11,1,12,1,17,2,9,1,17,1,11,1,10,1,17,1,12,1,9,1,12,2,17,1,12,1,10,1,11,1,12,1,10,1,17,1,12,1,10,1,24,1,12,2,9,1,17,1,11,1,9,1,17,1,24,1,8,1,11,1,9,1,17,1,9,2,12,2,10,1,8,1,9,2,17,1,12,1,10,1,16,1,10,2,17,2,16,3,17,2,12,1,16,3,11,1,10,1,17,31,16,2,10,1,13,1,8,1,13,1,6,1,8,1,6,1,7,1,13,1,6,1,13,2,6,1,7,1,13,1,6,1,7,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,13,1,24,2,8,1,13,3,9,1,12,1,8,1,13,1,10,1,9,2,13,1,11,2,8,1,13,1,11,1,9,1,12,1,17,2,9,1,17,2,10,1,9,1,12,1,10,1,12,1,17,3,11,2,9,1,10,1,9,1,11,2,10,1,9,1,11,2,9,3,12,1,8,1,9,1,11,1,9,1,24,1,10,1,11,1,12,1,17,1,9,2,8,1,11,1,9,1,12,1,9,1,17,1,10,1,9,1,17,1,11,1,12,1,11,1,17,1,10,1,17,1,11,2,9,1,10,1,17,1,9,1,12,1,10,1,12,1,17,1,8,1,10,1,9,2,12,1,10,1,17,1,12,3,17,2,24,1,12,1,11,2,9,1,11,1,9,1,12,1,11,1,8,1,17,1,11,2,9,1,17,3,12,2,11,1,10,1,9,2,10,1,11,1,10,2,9,1,11,1,9,1,8,1,17,1,8,1,11,2,10,1,16,1,11,1,10,1,11,1,9,1,8,1,9,1,8,1,9,1,10,1,9,3,8,2,10,1,9,5,8,1,13,1,24,1,8,1,11,1,9,2,8,1,10,1,9,2,7,1,9,1,13,1,8,1,9,2,8,2,9,3,13,1,24,1,10,1,8,1,9,1,13,1,8,1,13,2,8,1,13,2,9,2,8,1,10,1,9,1,8,1,10,1,9,1,13,1,8,2,13,2,6,1,7,1,6,1,29,1,13,1,6,1,29,1,13,1,28,1,6,1,28,2,30,2,28,18,30,1,28,24,30,1,28,2,30,2,28,1,30,1,6,1,29,2,28,19,5,39,13,1,28,11,13,1,14,1,17,2,10,1,13,1,24,1,8,1,6,2,29,1,30,1,29,1,13,1,8,1,10,1,17,2,28,6,6,1,14,2,13,1,28,1,29,1,28,29,8,1,17,1,12,1,10,1,13,1,6,1,8,1,17,1,15,1,12,1,24,1,8,1,}, {24,2,13,1,30,2,9,1,17,1,13,1,29,1,28,2,30,2,28,13,29,1,28,7,29,1,28,11,30,1,6,1,13,1,8,1,13,1,9,1,11,1,17,2,9,1,6,1,30,1,28,1,29,2,6,1,9,1,17,1,10,1,8,1,6,1,13,1,10,1,24,1,9,2,8,1,6,1,13,1,17,2,24,1,13,1,6,1,13,1,6,1,7,1,8,1,9,1,17,1,13,1,7,1,13,1,9,1,10,1,13,1,10,1,9,1,16,1,12,1,13,1,8,1,13,1,6,1,9,2,8,1,30,1,28,13,30,1,28,9,6,1,13,2,8,1,24,1,9,1,14,3,13,1,6,1,7,1,13,1,6,2,8,1,24,1,12,1,17,2,11,1,24,1,13,1,6,1,13,1,9,1,6,1,8,1,13,1,24,1,9,1,11,1,15,1,10,1,17,1,24,1,6,1,30,1,28,1,29,1,28,10,9,1,17,2,11,1,10,1,9,1,11,1,9,1,11,2,16,1,9,2,11,1,16,1,11,1,9,3,13,1,9,1,13,1,8,1,13,1,9,1,8,1,11,1,13,2,8,1,9,1,13,1,9,1,11,1,13,1,16,1,10,1,11,2,16,1,11,1,16,1,10,1,11,1,16,1,9,1,17,1,16,1,13,1,7,1,30,1,29,1,30,1,27,1,28,1,29,4,27,1,25,1,26,1,29,1,7,1,6,1,8,2,13,1,24,1,10,1,12,1,24,1,17,1,10,1,12,1,17,1,10,1,17,7,12,1,17,4,12,1,17,7,12,1,9,1,12,1,11,1,8,3,13,1,6,1,8,1,6,3,8,1,7,1,6,1,7,1,29,1,6,4,29,3,6,1,28,1,8,1,6,2,29,1,6,2,29,1,6,2,13,1,6,1,29,3,6,1,29,2,6,1,29,1,13,1,7,1,13,1,6,2,8,1,29,1,8,1,13,2,6,1,13,1,28,1,13,1,30,2,6,3,7,1,6,1,13,1,30,1,6,2,7,1,13,1,29,1,6,2,13,1,7,1,29,2,30,2,6,1,8,1,13,2,8,1,13,1,8,1,13,1,10,1,8,1,13,1,24,1,8,2,9,1,24,1,12,1,8,1,13,1,24,2,8,1,24,1,8,1,24,2,8,1,6,1,7,1,13,1,7,1,6,1,13,1,7,1,6,4,7,1,28,1,30,1,29,1,30,4,28,1,30,1,28,36,29,1,28,2,29,5,6,1,30,1,6,1,7,1,29,1,8,2,24,1,10,1,8,1,24,1,9,1,12,1,17,1,12,2,17,1,10,1,12,1,17,1,9,1,12,1,10,1,17,2,24,1,17,1,12,1,9,1,12,1,11,1,17,1,12,2,17,1,12,1,17,1,9,1,10,1,17,1,10,1,24,1,12,1,10,2,17,1,12,1,17,1,10,1,12,1,17,1,10,1,17,2,12,4,17,2,12,1,17,15,16,1,17,1,16,1,17,3,16,6,17,1,11,1,16,8,9,1,10,1,11,3,16,1,11,1,9,1,11,1,16,1,11,2,16,2,9,2,11,1,16,1,9,1,11,3,16,2,11,4,16,1,11,2,16,2,11,1,16,1,11,3,9,1,11,1,9,1,11,1,9,1,16,1,11,3,16,1,11,3,9,3,13,1,28,23,7,1,28,41,29,1,28,10,29,1,28,1,6,1,8,1,7,1,13,2,24,2,12,1,9,1,17,5,6,1,28,80,30,1,29,1,28,1,6,1,13,1,6,1,7,1,6,2,8,1,6,1,24,1,9,2,24,1,12,1,8,1,17,1,11,1,9,1,11,1,17,1,16,1,8,1,6,2,13,1,30,1,6,1,30,1,6,3,13,1,9,1,13,3,30,1,6,1,28,1,6,1,28,1,30,1,29,1,28,1,30,2,28,1,30,1,6,1,28,1,13,1,6,1,13,1,28,1,29,1,7,1,30,2,13,1,28,1,29,1,30,1,6,2,30,1,6,1,28,3,6,1,29,1,28,3,30,1,28,1,30,2,6,1,13,1,29,1,13,2,29,1,6,1,13,1,28,1,7,1,13,2,6,2,28,1,13,1,29,1,30,2,29,1,6,1,13,2,6,1,7,1,13,1,8,1,6,1,13,1,9,1,13,1,9,2,13,1,6,2,29,1,13,2,9,1,17,1,9,1,16,1,9,2,6,1,28,1,33,98,5,290,11,2,13,1,17,1,12,1,10,1,11,1,12,1,10,1,12,1,17,1,12,2,17,1,9,1,12,2,10,2,8,3,11,1,10,2,11,1,12,1,11,1,17,16,12,1,17,2,11,1,9,2,11,1,10,1,12,1,9,1,10,2,9,1,12,2,11,3,17,1,10,1,24,1,7,1,13,1,8,1,7,1,13,1,8,1,9,2,10,1,9,1,12,2,10,1,17,15,10,1,11,1,24,1,8,1,10,1,24,1,13,1,9,1,13,1,11,1,24,1,8,2,13,1,10,1,24,1,8,1,13,1,10,1,9,1,24,1,12,1,17,1,12,2,8,1,17,1,12,2,24,2,13,1,6,1,13,2,8,2,7,1,8,1,29,1,24,1,12,2,17,1,12,1,11,1,12,1,17,1,12,1,9,1,12,2,10,1,12,4,10,1,17,5,12,3,17,4,11,1,10,1,11,1,9,1,17,4,12,5,17,4,8,1,9,1,10,1,17,1,9,1,12,1,9,1,11,1,17,1,11,1,16,1,11,1,17,1,9,2,11,4,9,1,10,1,9,1,11,1,16,1,11,1,9,2,10,1,11,1,16,1,9,1,13,1,9,2,11,4,13,1,8,1,13,1,6,1,13,3,8,1,13,2,8,1,6,1,7,1,8,1,13,3,8,1,13,2,8,1,13,1,8,1,9,1,13,1,9,1,10,1,9,2,11,5,17,1,11,3,16,1,11,1,16,1,11,1,16,1,11,1,16,7,11,1,16,2,11,1,16,1,11,2,17,1,16,1,6,1,30,1,13,2,9,1,14,1,16,1,13,1,30,1,6,1,13,3,6,1,13,1,6,3,30,1,13,4,16,1,17,14,9,1,28,4,30,2,29,1,6,1,8,1,17,2,16,1,17,4,16,2,17,1,10,1,12,1,10,1,16,1,11,1,9,1,11,2,9,3,10,1,9,2,8,1,12,3,11,1,17,1,12,2,17,2,10,1,9,2,17,1,12,1,10,1,12,1,8,1,9,1,8,1,11,1,10,1,8,2,12,1,9,1,24,1,12,1,9,2,8,1,24,1,8,1,9,1,24,1,8,1,7,3,29,1,26,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,2,25,1,30,2,29,1,7,1,6,2,26,1,8,2,24,2,10,3,9,1,12,1,10,2,12,1,10,1,13,1,9,1,24,3,13,1,8,1,13,1,8,1,7,1,24,1,7,1,9,1,7,1,17,1,8,1,11,1,9,1,10,1,12,1,16,1,11,1,16,1,17,4,11,1,17,1,11,2,16,4,17,1,16,2,11,1,17,3,12,1,24,1,11,1,12,1,24,1,7,3,29,1,28,1,6,1,30,2,28,2,30,1,8,1,27,1,26,1,30,2,28,1,7,1,30,2,28,11,29,1,13,1,7,1,13,1,8,2,7,1,29,2,28,1,6,1,28,1,29,1,28,1,30,3,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,27,1,28,1,30,1,28,1,27,2,28,1,26,1,27,1,28,1,30,1,28,2,30,1,29,3,28,1,29,1,30,1,28,2,30,2,28,1,30,2,28,1,30,1,29,2,28,1,29,1,6,2,8,1,9,1,12,1,10,1,12,2,9,1,12,1,17,1,10,1,17,4,11,1,17,1,11,1,17,1,9,1,17,1,9,1,10,2,17,3,9,1,12,2,10,1,11,1,9,1,8,1,9,1,17,1,8,1,12,1,8,1,17,1,9,1,10,1,17,1,9,1,17,1,12,1,24,1,17,1,12,2,9,1,10,1,8,1,17,1,9,1,12,1,17,2,10,1,11,1,17,1,12,1,17,1,9,1,11,1,16,1,11,1,17,2,16,1,17,38,16,1,11,1,10,1,9,1,8,1,13,1,7,1,13,1,6,1,13,4,29,1,6,1,13,1,6,1,13,1,7,1,30,1,13,2,6,2,13,2,8,1,13,1,8,4,13,1,9,1,13,1,9,2,10,1,13,1,8,1,10,3,17,1,11,2,17,2,11,2,12,1,16,1,11,2,12,1,17,1,9,1,11,1,17,1,10,1,12,1,9,1,12,1,11,2,17,1,9,2,12,1,10,1,9,2,12,1,17,1,9,1,10,3,12,2,17,1,9,1,10,1,9,1,8,1,9,1,10,1,11,2,10,1,11,1,17,1,12,1,9,1,10,2,17,2,10,1,11,1,17,1,12,1,9,1,12,1,8,1,17,1,11,1,9,2,12,1,11,1,24,1,9,1,17,1,9,2,12,2,24,1,9,1,17,1,10,2,13,1,10,1,9,1,17,2,11,1,12,3,9,1,17,1,11,1,17,1,11,1,17,1,11,1,17,2,9,1,11,1,17,1,11,1,9,2,17,1,9,1,11,1,24,1,9,1,12,1,16,1,13,1,9,1,8,2,10,1,9,1,17,1,11,1,8,1,13,1,9,1,13,1,9,1,13,1,11,1,9,1,8,2,9,5,8,1,17,1,9,2,8,1,9,2,8,1,12,1,9,1,8,1,9,1,10,1,9,1,10,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,11,1,9,1,24,1,10,1,9,1,13,1,9,1,13,2,6,1,13,1,8,1,7,1,9,1,13,1,9,1,24,1,8,2,11,1,13,1,9,1,8,2,13,1,8,1,9,1,8,1,6,4,29,1,13,1,6,4,7,1,6,1,29,1,30,1,29,1,30,1,28,1,30,1,6,1,29,1,28,5,30,1,28,8,30,2,28,21,30,2,28,1,30,1,28,1,30,1,28,2,30,1,13,1,7,1,13,1,6,2,30,1,28,12,30,1,28,2,30,1,28,1,33,1,5,36,13,1,28,11,30,1,14,1,17,3,8,1,9,1,6,1,8,1,6,1,29,2,13,1,10,1,9,1,17,1,10,1,11,1,30,1,28,5,13,1,14,2,7,1,28,1,30,1,28,29,8,1,17,1,12,1,9,1,6,1,28,1,9,1,15,1,11,1,12,2,29,1,}, {13,1,11,1,29,1,6,1,28,1,8,1,11,1,10,1,30,1,28,4,30,1,28,3,30,1,28,8,30,1,28,2,29,1,28,14,30,4,13,2,8,1,13,1,9,1,17,2,9,1,6,1,29,1,30,1,29,1,28,1,13,1,17,2,12,1,8,1,13,1,24,1,9,1,17,2,10,1,13,1,7,1,13,1,17,1,14,1,9,1,6,2,8,1,6,1,7,1,8,1,12,1,15,1,24,1,7,1,24,1,8,2,9,1,8,1,11,1,10,1,16,1,13,3,30,1,29,1,12,1,13,1,30,1,28,21,30,1,28,1,30,1,6,2,8,1,13,1,9,1,17,1,14,1,17,1,13,2,6,3,29,1,8,1,24,1,17,3,24,1,13,2,8,1,7,1,13,4,9,1,24,2,17,3,10,1,30,1,28,3,30,1,28,3,30,1,28,5,13,1,9,1,17,1,12,1,17,1,10,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,9,1,8,1,10,1,8,1,9,1,11,1,8,1,10,1,13,1,11,1,9,2,8,1,9,4,8,2,9,1,13,1,9,1,11,1,16,1,11,3,9,2,11,1,9,1,11,2,17,1,11,1,9,1,29,1,7,1,28,1,27,1,28,1,25,1,29,2,27,2,25,1,29,1,25,1,27,1,8,1,25,1,24,1,13,1,8,1,10,1,13,1,7,1,12,1,17,3,12,2,17,14,12,1,17,3,12,1,17,1,9,1,17,1,12,1,10,1,24,1,8,1,13,2,7,1,24,1,6,1,24,1,29,1,13,1,8,1,29,1,7,1,13,1,7,1,6,2,8,1,24,1,7,1,13,1,8,1,7,3,8,1,29,1,6,1,28,1,29,1,7,1,30,1,6,1,28,1,6,1,30,1,6,2,7,1,29,1,6,2,29,1,6,2,7,3,6,1,8,1,6,1,7,1,29,1,24,1,29,4,7,1,29,1,13,1,6,1,7,1,13,1,29,1,6,2,7,3,6,1,7,1,30,1,6,1,8,1,30,1,6,1,13,1,8,1,24,1,13,1,6,1,8,3,13,2,8,3,13,1,24,1,8,1,10,1,7,1,8,1,24,1,10,1,7,1,24,1,8,2,13,1,7,1,8,1,30,1,13,1,6,2,13,1,29,1,6,2,30,1,29,2,28,1,30,2,29,1,28,44,30,3,28,1,30,2,7,1,29,1,7,2,6,1,13,1,24,1,13,1,24,1,8,1,13,1,10,1,17,1,12,1,17,1,11,1,17,1,12,1,11,1,12,2,17,1,12,1,17,1,9,2,17,2,12,3,11,1,12,2,9,1,10,1,24,1,17,1,12,2,17,1,10,1,12,2,17,1,10,1,12,1,17,1,10,1,17,1,12,1,9,1,17,1,12,1,17,3,10,1,17,1,10,1,17,10,11,1,17,12,16,7,17,1,16,1,11,1,16,4,11,1,16,1,17,1,16,3,11,1,16,7,11,2,9,1,11,4,16,1,11,1,16,1,11,6,16,1,11,2,16,5,11,1,16,1,11,2,16,1,11,2,16,1,11,1,16,2,10,1,11,2,9,1,11,1,17,1,28,23,30,1,29,1,28,45,30,1,28,5,29,1,30,1,29,1,26,1,8,1,6,1,8,3,10,1,12,1,17,5,10,1,28,82,30,1,29,1,8,1,13,1,7,1,8,1,13,1,8,2,24,1,8,2,24,2,9,2,10,1,9,1,11,1,10,1,17,1,9,1,13,1,6,4,28,1,6,1,30,1,6,1,13,4,6,1,13,2,6,1,29,2,30,2,6,1,30,2,28,2,13,1,28,1,13,1,8,1,6,1,13,1,7,1,30,1,7,1,13,1,30,1,6,2,30,1,6,1,28,1,6,1,30,1,29,1,28,1,6,1,28,1,30,1,28,2,30,1,28,2,30,2,28,2,6,1,28,1,30,1,6,1,28,1,29,1,30,1,6,2,29,1,6,1,7,1,13,1,28,1,13,1,28,1,13,1,6,1,13,3,29,1,13,2,6,1,13,1,8,1,13,2,8,1,13,2,9,1,13,1,8,1,13,1,30,1,6,1,13,3,9,1,16,1,8,1,10,1,13,4,33,1,5,2,33,93,5,290,16,1,11,1,9,2,11,2,12,1,9,1,12,1,17,1,12,1,17,1,12,1,9,2,12,1,17,2,9,2,10,1,9,2,11,1,12,1,10,2,17,6,12,1,17,13,12,1,17,1,12,1,11,2,12,2,11,2,10,1,9,1,10,1,11,1,17,2,9,1,8,1,13,1,6,2,8,1,7,1,9,1,8,1,24,1,9,1,10,1,9,1,12,1,17,16,12,1,9,1,24,1,8,1,11,1,10,1,6,1,24,1,9,1,13,1,9,2,8,1,24,1,9,1,8,2,9,2,10,1,8,2,17,2,12,1,10,1,17,1,11,1,12,1,11,1,8,1,13,2,6,1,7,2,9,2,24,1,8,1,7,1,9,1,12,1,9,1,12,5,17,1,12,1,10,1,11,1,17,2,12,3,17,1,12,3,17,1,12,5,17,2,12,5,11,1,12,1,17,2,12,1,17,3,12,1,17,1,11,1,9,1,10,1,17,1,10,1,9,2,12,1,10,1,11,1,12,1,11,1,10,1,8,1,13,1,9,2,10,1,11,1,16,1,11,4,9,1,16,1,9,1,10,1,9,1,11,3,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,8,4,13,1,8,2,13,3,7,1,6,1,8,2,13,3,9,1,13,6,8,1,9,1,13,1,9,1,11,1,9,2,11,2,9,1,11,2,9,1,11,10,16,5,11,1,16,1,11,1,16,1,11,1,16,2,17,1,6,1,13,1,28,1,13,1,9,1,16,1,14,1,13,1,30,1,13,1,30,1,13,2,6,2,30,1,13,1,30,1,13,1,6,2,13,2,11,1,16,1,17,11,11,2,9,1,28,1,6,1,29,1,30,1,28,1,30,1,6,1,24,2,12,1,17,5,11,1,12,2,9,2,12,1,8,1,12,1,13,1,8,1,10,1,9,2,12,1,11,1,9,1,12,1,10,1,11,2,9,2,10,1,11,1,16,1,17,4,11,1,17,2,10,2,9,1,10,1,8,1,9,1,8,1,9,1,8,1,9,2,24,1,8,1,10,2,24,1,9,1,13,2,12,1,9,1,8,2,6,1,7,1,30,2,28,1,30,1,28,8,30,2,28,5,30,1,28,1,29,1,28,1,29,1,25,1,6,1,30,1,28,1,6,2,13,1,24,1,7,1,8,1,7,1,8,1,24,1,8,1,10,1,24,1,12,3,10,4,13,1,8,1,24,1,8,1,9,1,8,3,13,1,8,2,24,1,10,1,24,2,10,1,12,2,9,2,17,2,11,1,17,1,11,1,17,1,11,3,17,1,11,3,17,1,10,1,17,1,11,1,12,1,16,1,17,5,12,1,9,1,10,1,8,1,13,1,6,1,13,1,29,1,6,2,30,2,25,2,29,1,26,1,29,1,30,1,29,2,6,1,30,3,28,4,29,1,13,1,6,1,13,1,30,1,6,1,13,1,29,2,6,1,28,1,6,3,29,2,28,1,29,3,28,2,29,1,28,2,29,2,28,1,27,1,29,1,30,3,27,1,30,1,29,2,27,1,28,1,30,2,27,1,28,1,29,1,30,1,29,2,30,2,29,1,26,1,28,1,29,1,30,2,29,1,28,1,30,1,27,1,28,1,6,1,28,1,29,1,6,1,7,1,8,1,10,2,17,3,11,1,12,2,17,2,11,1,17,2,11,1,17,2,12,1,17,1,9,1,11,1,10,1,12,1,11,1,17,1,12,1,17,1,11,1,9,2,11,1,10,1,12,1,17,1,10,1,12,1,10,1,9,1,10,1,17,1,9,2,17,3,12,1,17,1,12,1,10,1,17,2,10,1,9,1,17,1,9,2,10,1,12,1,11,2,9,1,17,1,11,1,17,2,9,1,17,1,16,1,17,2,16,2,17,5,16,1,17,10,16,1,17,3,16,1,17,18,11,1,9,2,7,1,8,1,7,1,13,5,7,1,13,5,6,2,13,1,7,1,13,1,6,1,8,1,13,1,8,4,9,1,8,1,13,1,9,2,17,1,12,1,13,1,10,1,9,4,12,1,9,3,11,1,10,1,11,1,16,1,11,2,17,1,12,1,11,1,9,1,17,1,9,2,17,1,9,1,11,1,12,1,10,2,9,1,16,1,10,1,11,1,10,1,17,1,9,1,11,1,10,4,9,1,8,1,17,1,9,1,11,1,9,3,11,1,9,1,11,1,10,1,12,1,17,2,9,1,17,1,12,1,17,1,10,1,17,2,11,2,12,1,10,1,11,1,9,2,10,2,9,1,11,1,10,2,9,1,10,1,12,1,17,1,9,1,11,1,12,2,17,2,11,1,8,1,9,2,12,1,9,1,10,1,12,1,11,1,12,1,10,1,17,1,10,2,8,1,12,1,9,1,17,1,11,1,12,1,11,2,17,1,9,1,12,1,17,2,11,1,9,1,12,1,9,1,12,2,17,2,12,1,11,1,13,2,11,1,9,1,10,1,9,3,11,1,8,1,17,1,9,3,8,1,9,1,8,1,9,1,8,1,11,1,8,1,13,1,8,1,13,1,12,1,9,1,8,2,9,1,8,1,9,2,13,1,8,1,13,1,8,2,10,1,7,1,9,1,10,1,7,1,10,2,8,1,9,2,8,1,9,1,13,1,9,1,7,1,13,1,8,1,9,1,8,1,24,1,9,1,8,2,10,1,9,1,8,1,7,1,30,1,7,1,30,1,28,1,6,1,28,1,29,1,6,4,13,1,30,1,6,1,13,1,6,1,8,1,6,1,29,1,13,1,6,1,13,1,6,1,7,1,29,2,6,1,28,2,30,2,28,3,29,1,28,1,29,1,30,1,28,1,30,2,28,19,30,1,28,1,30,1,29,1,28,2,6,1,13,2,30,1,28,16,30,1,6,1,30,1,28,2,9,1,5,34,30,1,28,11,6,1,14,1,17,1,11,1,9,1,10,1,8,2,13,1,29,1,6,2,28,1,13,1,8,1,12,2,9,1,6,1,28,5,30,1,15,2,8,1,28,1,30,1,28,29,9,1,17,2,24,1,13,1,28,1,9,1,14,1,12,1,9,1,8,1,13,1,}, {8,2,30,1,7,1,30,1,8,1,12,1,10,1,28,1,30,1,28,4,30,2,28,1,30,1,28,9,30,2,28,3,30,1,28,14,30,1,7,1,13,2,8,1,9,1,16,1,14,1,9,1,30,1,6,1,30,1,6,1,29,1,6,1,17,3,9,1,24,1,9,1,12,1,17,1,12,2,8,1,6,1,13,1,16,1,17,1,16,1,7,1,13,1,6,2,13,1,9,1,14,1,12,1,24,1,8,4,13,1,9,2,17,2,9,1,8,1,6,1,7,1,6,1,15,1,8,1,28,25,6,1,13,1,8,2,12,1,17,1,14,1,12,1,13,2,6,1,13,1,6,1,29,1,7,1,8,1,9,1,12,1,10,1,9,1,8,1,13,1,6,2,13,1,6,1,7,1,13,1,7,1,10,1,9,1,17,1,12,1,17,1,8,1,6,1,28,5,30,1,28,1,30,1,28,2,29,1,28,3,17,2,11,4,8,1,16,2,9,1,16,1,9,4,12,1,9,3,8,1,10,1,9,3,13,1,9,1,13,1,9,3,13,1,9,1,17,1,16,1,11,1,9,1,10,1,11,1,17,1,9,1,17,1,11,1,9,2,16,1,17,1,12,1,8,1,29,1,6,1,30,1,29,1,30,1,27,1,29,1,30,1,29,2,27,1,29,1,27,1,26,1,25,3,8,1,13,1,9,1,12,2,17,2,10,1,12,1,17,7,12,1,17,12,9,1,17,1,12,2,13,1,28,1,29,1,24,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,7,1,13,1,7,1,8,1,6,2,13,1,29,3,8,1,7,1,29,1,7,1,6,2,29,1,6,1,8,2,29,1,13,1,29,1,30,1,6,2,28,1,7,2,30,1,29,1,6,1,7,1,6,2,8,1,6,2,8,1,30,1,6,1,7,1,8,1,13,1,30,1,13,1,30,1,7,1,29,1,6,2,7,2,28,1,30,1,6,2,29,1,7,1,29,1,28,1,8,1,6,1,7,1,6,1,29,1,7,1,13,1,6,1,13,1,8,1,13,1,24,1,8,1,24,1,7,1,6,1,13,1,8,1,6,1,13,1,6,1,13,4,24,1,13,1,8,4,13,1,7,1,13,1,6,1,13,2,30,1,6,1,30,1,6,2,29,1,28,1,30,1,28,1,30,1,28,4,30,1,28,39,30,1,28,2,29,1,28,1,30,1,29,1,28,1,6,1,28,1,29,2,6,1,29,1,6,1,7,1,24,3,17,1,10,1,9,1,24,1,17,1,12,2,17,1,12,2,10,1,12,1,17,1,12,1,17,1,11,1,12,1,17,1,10,1,9,1,17,1,24,1,8,1,9,1,12,2,9,1,8,1,12,2,10,1,9,1,10,1,12,1,10,1,17,2,10,1,17,2,10,1,17,1,12,1,10,1,12,2,9,1,17,1,10,1,17,16,12,1,17,5,9,1,17,1,16,2,11,2,16,4,11,2,16,2,11,1,16,8,11,1,16,1,11,1,16,2,11,1,16,2,11,1,9,1,10,1,11,2,16,1,11,1,9,1,11,6,16,7,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,6,10,1,9,1,11,1,16,1,9,1,28,23,8,1,28,34,30,1,28,16,6,1,30,2,6,1,25,2,6,1,8,1,24,1,8,1,12,1,9,1,10,1,17,4,7,1,30,1,28,80,6,1,29,2,7,1,8,1,13,1,7,1,8,1,13,2,9,1,24,4,10,1,9,1,8,1,10,1,9,1,17,2,9,1,8,1,6,1,13,1,6,1,13,1,6,1,13,1,30,1,13,1,30,1,13,2,9,1,13,1,9,1,6,1,13,3,30,2,6,1,30,2,6,1,30,3,6,1,28,1,6,1,13,1,6,3,13,1,6,1,8,1,6,1,13,1,6,1,30,1,13,2,30,1,6,1,28,2,13,1,30,2,28,2,29,1,6,1,28,1,13,1,30,1,29,1,30,1,29,1,6,1,28,2,6,1,29,1,6,1,29,1,13,1,6,3,29,2,13,1,6,1,13,2,30,1,13,2,6,1,9,1,6,1,13,4,8,1,13,1,29,1,6,1,13,1,8,1,9,2,13,1,30,1,13,3,9,1,11,1,16,1,11,1,8,1,9,1,13,2,6,1,33,1,5,1,33,91,5,292,11,1,10,2,11,1,9,2,11,1,10,1,9,1,17,1,11,1,17,2,12,2,10,1,17,1,9,1,13,1,12,1,10,1,24,1,11,2,12,1,17,19,12,1,10,1,12,2,17,1,11,1,10,2,8,1,12,1,11,1,17,1,12,1,11,1,17,1,10,1,8,1,13,3,6,1,13,1,9,2,8,1,9,1,24,1,11,1,17,18,12,1,17,1,9,1,12,1,24,1,8,1,10,1,7,1,9,1,24,1,9,1,8,2,24,2,8,1,13,1,24,1,13,1,24,1,10,2,9,1,17,1,12,1,17,1,11,2,10,1,17,1,10,1,7,1,13,1,8,1,7,2,13,1,7,1,8,1,7,1,13,1,7,1,10,1,12,2,11,1,12,1,17,1,12,1,10,1,11,1,10,1,17,1,10,1,12,1,10,1,17,1,11,1,12,1,17,2,11,1,17,2,12,2,17,2,12,1,11,1,10,1,11,1,10,1,17,2,11,1,17,2,12,2,17,1,12,1,17,1,12,1,11,1,17,1,10,1,11,1,10,1,12,1,17,1,11,2,10,1,11,2,9,1,10,2,13,1,9,3,11,1,9,2,11,1,9,1,11,3,9,2,10,1,9,2,10,1,9,2,11,1,9,2,11,2,9,1,10,1,9,3,13,5,8,2,13,1,7,1,13,1,9,1,8,1,13,1,7,1,13,2,9,1,8,2,9,1,8,1,10,1,9,4,11,1,10,2,11,6,10,1,16,2,11,4,16,1,11,1,16,1,17,1,16,2,11,1,16,2,11,2,16,2,17,1,13,4,9,1,16,1,14,1,11,1,13,1,6,2,28,1,6,3,13,2,6,2,30,1,13,1,6,2,9,1,16,3,17,1,16,1,17,8,13,1,11,1,6,1,28,2,6,2,29,1,6,1,13,1,10,2,17,3,12,1,16,1,12,1,9,1,12,1,16,1,9,1,24,1,10,1,12,1,8,1,9,1,10,1,9,1,10,2,9,1,10,2,9,1,17,1,12,2,17,1,9,1,11,2,17,1,11,1,17,1,9,1,17,1,9,1,10,3,12,2,9,1,24,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,3,24,1,6,1,24,2,6,1,29,1,30,1,25,1,26,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,1,26,1,6,2,29,2,28,1,6,1,8,1,7,2,8,1,24,1,8,1,24,1,8,2,24,1,8,1,24,1,9,1,12,1,8,1,10,1,8,1,24,2,9,1,8,1,9,1,24,1,8,2,24,1,8,1,9,1,24,1,9,1,24,1,11,1,9,1,12,2,17,1,10,1,17,1,16,1,10,1,16,1,17,2,11,1,16,1,17,1,16,1,11,1,16,3,17,1,11,1,17,1,11,1,17,1,11,1,17,2,12,1,17,4,11,1,10,1,11,1,12,1,8,1,13,2,8,1,7,1,6,1,12,1,29,1,30,1,27,1,30,2,25,1,29,1,30,1,27,1,25,1,29,1,6,1,29,1,6,1,30,1,29,1,30,2,6,1,30,1,29,1,30,1,29,1,28,1,7,1,29,2,27,1,6,1,28,1,30,1,29,2,28,2,27,3,29,2,27,1,29,1,27,2,29,1,28,1,29,3,30,1,29,1,25,1,29,1,27,1,29,2,27,1,26,2,28,1,29,2,27,3,30,1,29,2,28,1,29,2,30,1,28,1,30,1,25,1,28,1,25,1,6,1,13,1,8,1,24,1,9,2,12,1,17,1,9,1,17,6,16,1,17,1,16,1,11,2,9,1,17,1,10,1,17,1,9,1,10,1,12,1,8,1,10,4,11,2,9,1,10,1,12,1,17,1,9,1,10,1,12,1,10,1,24,1,12,1,11,1,12,1,9,1,12,1,17,1,12,1,9,1,11,1,10,1,24,1,11,1,10,1,17,3,9,1,10,1,9,1,10,1,12,1,17,2,11,1,17,2,11,1,17,21,11,1,10,1,11,1,17,1,11,1,16,1,11,2,16,1,11,1,9,1,16,1,11,1,16,1,11,2,16,2,11,1,16,1,11,1,16,1,11,1,10,1,13,1,10,1,8,1,13,3,8,1,13,1,8,1,9,2,13,5,7,1,13,3,7,1,13,1,8,1,13,1,8,1,13,1,24,1,9,1,13,1,9,2,10,1,8,1,9,1,12,1,8,1,9,3,8,1,9,2,11,1,9,1,17,1,16,1,11,1,17,1,9,2,16,1,17,1,10,1,17,1,11,1,9,1,17,1,9,1,11,1,10,2,17,1,12,1,10,1,11,1,12,1,16,1,10,1,9,1,17,3,10,1,17,1,8,1,9,1,24,1,9,1,12,1,9,1,11,1,9,2,12,1,11,1,9,1,17,1,11,1,9,1,17,2,10,1,11,2,9,1,17,1,11,1,9,1,12,1,9,1,17,1,12,1,10,1,9,1,12,1,11,1,9,3,17,1,11,1,12,1,8,1,9,2,12,1,9,1,10,1,9,3,11,1,17,3,11,1,9,1,10,1,12,1,9,2,11,1,10,1,11,2,17,1,12,1,11,3,9,1,17,3,11,1,17,2,9,1,11,1,17,1,9,1,17,2,11,1,16,1,17,1,11,1,8,2,12,1,10,1,12,1,9,1,12,1,9,2,10,1,11,1,16,1,8,1,11,1,8,1,17,1,11,2,8,1,9,2,8,2,10,1,8,1,9,1,13,1,9,1,13,1,8,1,13,1,8,2,13,1,8,1,9,1,13,1,9,2,11,1,9,2,8,1,13,1,11,1,13,1,9,1,13,1,7,1,9,1,8,2,13,1,24,1,9,1,8,2,9,3,13,2,8,1,9,1,6,1,29,1,6,1,28,1,30,2,6,2,7,1,6,2,13,3,28,1,13,1,6,1,13,1,8,1,13,1,24,1,7,1,8,1,13,3,6,1,13,1,29,1,6,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,28,7,1,24,1,9,1,8,1,13,1,28,20,30,1,6,1,30,1,33,1,5,30,6,1,28,11,29,1,15,1,17,2,9,1,10,1,9,1,8,1,6,1,13,1,6,2,7,1,9,1,17,2,10,1,9,1,29,1,28,5,13,1,14,1,12,1,6,1,30,1,28,1,30,1,28,28,12,1,17,1,11,1,9,1,8,1,7,1,9,1,15,1,17,1,13,1,8,1,6,1,}, {8,1,13,1,29,1,30,1,28,1,6,1,17,1,9,1,29,1,28,37,29,1,7,2,13,1,8,1,9,1,8,1,17,2,11,1,7,1,30,1,6,2,29,1,6,1,12,1,17,2,9,1,13,2,10,1,12,1,17,2,13,1,6,1,13,1,16,1,17,1,11,1,7,1,6,4,8,2,9,1,12,1,13,1,8,1,16,1,9,1,13,1,8,1,9,1,17,2,9,1,8,1,13,3,9,1,8,1,30,1,28,24,6,2,10,1,24,2,17,3,13,2,7,1,6,1,7,1,6,1,29,1,8,1,11,1,17,2,13,2,8,2,13,3,7,1,13,1,9,2,10,1,14,1,9,1,16,1,9,1,30,1,29,1,30,1,28,11,6,1,10,1,17,1,16,2,11,1,10,2,11,1,9,4,17,1,11,1,10,1,16,1,12,1,9,1,11,2,13,1,10,1,8,1,11,1,9,3,13,1,16,1,9,2,16,1,8,2,9,1,16,1,17,1,11,1,17,1,11,1,10,1,9,1,11,1,9,2,8,1,16,1,8,1,6,1,29,2,28,1,29,1,28,1,29,2,27,1,26,1,27,2,25,6,7,1,24,1,8,1,12,4,17,1,9,1,12,1,17,2,12,1,17,15,12,2,17,1,24,1,28,3,6,1,13,1,8,1,13,2,8,1,7,1,8,1,6,1,8,2,7,1,6,1,7,1,24,1,6,2,7,1,6,1,24,1,8,1,13,1,8,1,13,2,7,1,13,1,6,1,7,2,6,1,13,1,6,2,29,4,6,1,7,1,28,1,8,1,30,1,7,1,8,1,29,1,13,1,30,1,6,1,7,3,28,1,29,1,6,1,29,1,30,1,6,1,7,2,6,2,13,2,30,1,7,1,30,1,6,1,13,1,6,1,13,1,30,1,13,1,29,1,7,1,6,1,13,3,8,1,6,1,10,1,13,1,24,1,13,1,24,2,8,1,24,1,8,1,13,2,7,1,13,1,8,1,6,1,24,1,8,2,6,1,13,1,7,1,6,1,13,2,6,1,24,1,6,1,13,1,6,2,29,1,13,1,28,1,30,1,28,2,30,1,6,1,28,42,29,1,28,2,30,4,29,2,6,1,30,1,6,1,29,1,8,1,29,1,13,2,9,1,8,1,10,1,24,1,17,1,12,1,17,2,12,2,17,1,10,1,12,1,10,1,12,1,17,2,12,1,9,1,11,1,9,2,17,1,12,1,9,1,12,2,10,2,12,1,10,1,9,1,17,1,12,2,17,2,10,1,11,1,12,1,11,1,17,1,12,2,9,1,17,1,10,1,17,1,11,1,17,15,12,1,17,2,12,1,17,5,16,3,11,1,16,2,17,1,16,4,11,1,16,4,11,1,9,1,11,1,16,1,11,1,16,6,11,1,16,1,11,1,16,2,11,1,16,1,9,1,10,1,16,4,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,3,11,2,16,1,11,3,16,1,11,1,9,1,11,1,16,1,10,1,11,3,16,1,11,1,6,1,28,22,29,1,30,1,28,47,7,1,28,1,30,1,29,1,7,1,29,1,7,1,25,1,26,1,8,1,6,1,24,2,8,1,12,1,11,1,10,1,17,4,28,81,30,1,29,1,30,1,6,1,8,1,7,1,6,1,13,4,8,1,24,1,9,2,17,1,9,1,11,1,9,1,11,2,12,1,16,1,8,1,13,13,6,1,30,1,13,2,6,2,13,1,28,1,6,2,30,1,6,4,13,1,30,1,28,1,13,1,6,1,28,2,6,1,30,1,8,1,30,1,6,1,30,1,13,1,30,1,6,1,30,1,6,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,6,1,30,1,13,1,6,1,13,1,6,3,29,1,28,1,30,1,28,2,29,3,13,1,28,1,30,1,13,1,30,2,13,1,7,1,6,3,8,1,13,1,6,1,13,1,8,1,6,1,13,2,6,4,29,1,8,1,13,1,8,2,13,1,28,1,13,2,8,1,13,1,8,1,9,2,8,1,13,1,6,1,28,1,13,1,33,92,5,293,11,2,9,4,10,1,12,1,10,1,11,1,12,3,11,1,9,1,11,1,12,1,11,1,12,2,9,2,10,1,17,3,12,1,10,1,12,1,17,7,12,1,17,9,12,1,17,1,12,2,11,2,9,1,17,1,12,3,9,1,24,1,9,1,13,2,8,1,13,2,9,1,8,1,9,1,10,1,12,1,11,1,12,1,17,18,10,2,12,1,9,1,10,1,8,1,11,2,9,1,12,1,9,3,8,1,10,1,13,1,24,1,8,1,7,1,9,2,10,1,12,1,17,1,12,6,13,1,7,1,13,1,6,1,7,1,8,1,13,1,8,1,13,3,9,1,17,1,10,1,12,1,11,1,12,1,17,1,12,1,11,1,12,1,17,1,12,1,10,1,17,1,11,1,12,1,17,2,11,1,17,1,12,3,17,2,10,1,17,1,11,1,10,1,17,1,11,1,12,1,17,2,12,1,17,1,12,1,17,6,12,1,11,1,12,1,17,1,9,1,12,2,9,1,11,2,9,1,10,1,13,1,7,1,9,1,8,1,9,1,11,1,10,1,9,1,11,3,9,1,10,1,11,1,9,5,11,4,9,1,11,2,8,1,9,2,8,2,13,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,2,24,1,13,3,8,1,9,3,8,1,11,1,9,4,11,2,9,1,11,5,16,1,11,1,16,1,11,2,16,10,11,1,16,2,17,1,16,1,28,1,13,2,6,1,16,1,17,1,16,1,13,1,30,1,6,8,13,2,30,1,13,1,9,1,13,1,9,1,16,3,17,9,13,1,9,1,8,1,30,1,6,2,29,2,8,2,10,1,11,1,12,1,17,1,9,1,12,2,9,1,11,1,9,1,12,1,17,1,8,1,12,1,24,1,9,2,11,1,9,3,24,1,12,1,10,1,24,1,9,1,10,1,8,1,9,1,17,5,16,1,11,1,10,1,16,1,8,1,24,1,8,1,12,1,11,1,9,3,24,1,13,1,17,1,13,1,9,1,8,1,10,2,9,1,8,1,9,3,24,1,13,2,7,2,28,3,30,1,28,1,29,1,28,3,30,1,28,1,29,1,28,2,29,1,30,1,28,1,30,1,28,2,29,1,26,1,6,2,29,2,30,1,24,1,7,1,13,1,10,1,24,1,8,2,13,1,17,1,8,1,12,1,8,1,9,1,10,1,9,2,10,1,12,1,24,1,9,1,8,1,12,1,10,1,24,2,10,1,24,1,12,2,9,1,24,1,12,1,24,1,17,1,9,1,24,1,9,1,17,1,9,1,12,1,9,1,17,1,11,1,9,1,16,1,11,3,16,1,11,2,16,1,17,1,16,1,17,2,11,1,17,1,12,1,17,1,11,1,17,1,16,1,17,1,12,1,17,6,10,1,9,4,12,1,8,2,30,1,27,1,25,1,30,1,28,1,27,2,30,1,26,1,27,1,29,1,6,1,7,1,30,1,28,1,6,1,29,1,6,1,30,1,25,1,29,1,30,1,28,1,27,1,25,1,29,1,27,2,8,1,27,1,30,1,29,1,27,1,26,1,27,2,25,2,29,1,27,1,6,1,29,1,6,1,29,1,27,1,25,1,30,1,25,2,26,1,27,2,25,1,27,2,25,2,28,1,27,3,29,1,27,1,29,1,30,1,28,1,30,4,29,2,27,1,25,1,26,1,25,1,13,1,7,1,24,1,12,2,10,1,17,1,12,1,17,1,11,1,17,4,12,1,17,1,11,1,17,1,10,1,9,1,10,2,17,1,24,1,9,1,24,1,9,1,10,1,11,1,12,1,10,1,12,1,9,1,17,1,10,3,9,1,12,1,9,2,12,1,11,1,9,2,11,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,12,2,17,1,9,1,10,1,17,2,11,1,17,1,12,1,17,1,16,1,11,1,17,1,10,1,17,18,16,3,11,1,9,1,11,3,9,1,17,1,11,2,16,1,11,1,16,1,11,1,16,2,11,3,16,1,11,3,16,1,11,1,16,1,9,1,11,1,9,1,8,1,13,1,8,1,13,4,9,1,8,2,13,3,8,1,13,1,8,1,13,2,9,1,13,3,8,1,11,1,13,2,9,2,10,1,9,1,24,1,8,1,10,1,8,1,24,1,8,1,12,1,10,1,12,2,9,2,12,1,10,1,17,2,10,1,17,1,11,1,12,2,10,1,17,1,11,1,17,1,12,1,9,1,10,1,12,1,17,1,11,1,9,1,10,1,9,1,8,1,17,1,11,1,10,1,24,1,12,1,9,2,11,1,10,1,9,1,11,1,9,1,17,1,9,1,12,1,9,3,17,1,11,1,10,1,11,1,12,1,17,1,11,1,16,1,10,1,9,1,12,1,9,2,17,1,12,1,17,1,24,1,12,2,9,2,11,1,9,3,10,2,9,1,17,1,12,1,9,2,11,1,10,2,9,1,12,1,17,1,10,1,11,1,12,1,11,1,12,1,9,1,12,1,9,1,17,2,8,1,12,3,9,1,17,1,11,1,12,1,17,7,11,1,17,5,16,2,10,1,11,1,17,1,11,3,10,1,17,1,9,1,17,1,9,1,17,1,9,1,17,1,9,1,13,1,9,1,12,1,11,1,17,1,9,2,12,1,9,1,8,1,9,3,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,10,1,13,1,9,1,10,1,8,1,9,1,13,1,9,3,13,2,8,1,13,1,8,1,9,1,13,1,9,2,8,1,11,1,24,1,8,1,9,1,7,1,6,2,28,1,6,1,28,2,30,2,29,1,30,1,28,1,13,3,8,1,13,2,7,2,8,1,9,1,13,1,9,1,13,4,7,1,30,1,13,1,30,1,13,1,28,1,30,1,28,3,30,1,28,3,30,2,28,1,30,1,28,22,30,1,7,1,24,1,8,1,13,1,8,1,29,1,28,20,30,1,28,2,33,1,5,28,30,1,28,11,13,1,14,1,17,3,10,2,9,1,13,1,8,1,6,3,8,1,10,1,17,1,9,2,30,1,28,5,30,1,17,1,9,1,30,2,13,1,28,28,30,1,10,1,16,1,11,1,24,1,13,1,24,1,9,1,17,2,6,3,}, {24,1,29,1,13,2,28,1,29,1,17,1,10,1,13,1,30,1,28,5,30,1,28,1,30,1,28,13,30,1,28,15,30,1,13,1,6,2,13,1,9,2,17,1,11,1,6,5,29,1,9,1,17,1,9,1,8,1,13,1,6,1,9,1,11,1,8,1,9,1,24,1,13,1,6,1,9,1,14,1,10,1,7,1,29,1,6,1,30,1,6,1,13,1,10,1,9,1,13,2,24,1,10,1,11,1,24,1,13,1,17,1,12,1,17,1,9,1,13,1,29,1,8,1,24,1,14,1,8,1,29,1,28,24,7,1,8,1,24,1,9,2,17,2,16,1,13,4,28,1,8,1,30,1,13,1,17,3,9,2,29,1,6,1,8,1,13,3,6,1,13,1,9,1,12,1,17,1,9,1,17,1,13,1,30,2,28,4,30,1,28,7,13,1,17,1,16,1,17,1,11,1,16,1,10,1,9,1,10,1,11,1,9,1,16,3,11,1,9,2,8,1,9,2,13,1,11,2,9,5,8,2,9,2,16,1,10,1,11,1,17,1,11,2,9,1,11,2,8,1,9,1,10,1,8,1,11,2,17,1,13,1,6,1,29,2,30,1,29,1,27,1,30,1,27,1,30,1,25,1,27,1,8,1,25,2,27,2,25,1,24,1,13,1,8,1,9,1,24,2,9,1,17,1,12,2,17,1,12,1,17,1,12,1,17,10,12,2,17,6,8,1,28,4,30,1,6,1,8,1,24,1,13,1,8,1,13,1,8,1,13,3,8,1,29,1,13,1,7,1,8,2,24,1,7,1,8,1,7,1,8,1,7,1,29,1,8,1,6,1,8,1,6,2,13,1,6,6,28,1,6,1,29,2,13,1,6,2,28,1,6,1,13,1,6,3,24,1,7,1,6,2,24,1,6,1,13,1,28,1,6,1,13,1,29,1,7,1,29,1,6,1,7,2,6,1,28,1,13,1,6,3,7,2,8,1,7,1,24,1,29,1,7,1,13,1,8,1,13,1,24,2,13,1,8,1,24,1,8,1,13,1,7,1,24,1,13,1,8,2,13,1,24,1,13,1,9,1,24,1,13,1,6,1,13,2,6,1,7,1,29,1,6,1,7,1,30,2,29,1,30,2,28,46,30,1,28,3,29,1,28,1,30,1,29,1,28,2,29,1,28,1,25,1,6,1,30,1,29,1,6,2,7,1,13,2,9,1,12,1,9,1,12,1,24,1,12,1,17,1,10,1,12,1,9,2,11,1,12,1,17,1,10,1,17,1,12,2,24,1,10,3,17,1,9,1,12,1,10,1,9,1,10,1,12,2,10,1,12,4,17,1,10,1,17,2,12,1,17,1,12,3,17,1,10,1,11,1,17,1,12,1,17,16,11,1,17,5,16,2,17,1,16,3,11,1,16,5,11,2,16,1,11,1,16,1,11,2,17,1,16,4,11,1,16,3,11,1,16,1,11,1,16,1,9,1,11,2,9,1,11,1,16,1,11,1,16,2,11,1,16,1,10,1,11,1,16,1,11,1,16,3,11,1,16,2,11,1,16,1,11,2,16,1,11,1,10,1,11,2,16,2,11,2,17,2,8,1,30,1,28,23,30,1,28,42,30,1,28,7,30,1,28,1,6,2,26,2,25,1,8,1,24,2,17,1,10,1,17,5,9,1,28,82,30,1,28,1,6,1,24,1,6,1,24,1,7,1,8,2,13,1,9,1,8,1,9,1,8,1,9,1,17,1,9,2,12,1,9,1,17,2,11,1,9,1,13,8,30,1,13,3,9,1,13,1,30,1,13,2,29,1,30,1,13,2,6,1,13,2,28,1,30,3,6,3,30,1,13,4,28,1,13,1,30,2,13,1,6,2,30,1,13,1,30,1,6,1,28,1,6,1,28,1,13,1,6,3,13,1,30,1,6,1,13,1,28,1,6,1,28,1,30,2,13,1,30,1,6,1,28,1,30,1,28,1,29,1,30,2,28,1,30,3,13,1,6,1,13,2,6,1,8,1,6,1,8,1,6,1,8,1,13,2,6,3,13,3,9,1,13,2,9,1,13,1,30,1,6,2,8,1,13,1,30,2,8,1,9,1,11,1,9,2,13,2,33,91,5,293,11,1,16,1,11,1,9,1,11,2,8,1,12,3,11,1,17,1,12,1,11,1,10,1,12,1,11,1,17,1,11,2,17,4,12,1,9,1,11,1,9,1,12,1,10,1,17,1,11,1,12,2,17,8,12,1,17,4,12,1,11,1,17,1,11,1,12,1,17,1,9,1,10,1,11,2,13,1,9,1,13,1,24,1,13,2,8,1,13,1,8,2,11,2,17,2,12,2,17,4,8,1,11,1,17,10,12,1,10,1,24,1,12,1,24,1,10,1,9,2,11,1,9,1,11,1,9,1,24,1,8,3,9,1,13,1,11,1,8,1,24,1,10,2,17,3,12,2,10,1,12,1,9,1,8,1,24,1,6,1,7,3,8,3,13,1,9,1,10,1,17,1,12,5,9,1,12,4,17,1,12,2,17,4,12,1,17,4,12,2,11,1,12,1,11,2,12,4,17,2,12,1,17,1,12,1,17,1,12,1,17,2,11,1,10,1,11,1,12,1,17,1,12,1,17,1,12,1,9,1,11,1,13,2,8,1,13,1,9,1,8,1,9,2,11,1,10,2,16,1,8,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,9,2,11,1,9,5,13,1,8,1,13,3,8,1,13,6,8,1,13,2,8,1,13,1,9,1,8,1,9,1,8,1,9,5,16,1,11,2,9,1,11,1,9,1,11,6,16,2,11,1,16,7,11,1,16,6,14,1,13,1,6,1,13,3,17,1,16,2,9,1,28,1,30,1,13,1,6,1,13,3,6,1,13,8,16,4,17,7,9,1,13,1,7,1,6,2,29,2,30,1,8,1,13,1,10,1,11,1,17,1,11,1,17,1,9,1,11,1,8,1,10,1,8,1,9,1,11,1,9,1,12,1,9,1,10,1,24,2,9,2,10,1,24,1,12,1,24,2,12,2,11,1,17,1,9,1,16,1,17,1,11,1,17,1,10,1,17,2,12,1,17,2,12,3,9,1,17,1,24,2,9,1,11,1,9,1,12,1,8,1,9,1,17,1,9,1,24,1,9,1,8,2,10,1,13,2,6,1,29,2,30,2,6,1,28,4,30,2,29,4,25,1,27,1,29,2,27,1,25,1,28,1,6,2,7,2,6,1,7,1,8,2,13,1,8,1,13,1,24,1,10,1,24,3,12,2,9,2,12,1,24,1,8,1,12,1,24,1,12,2,24,1,10,1,24,1,10,2,24,1,13,1,8,1,9,1,10,1,9,2,17,1,12,2,17,1,9,1,12,2,9,1,17,1,9,1,17,1,11,1,16,1,17,1,16,1,17,1,10,1,16,1,11,1,12,1,17,1,11,1,12,1,16,1,17,1,11,1,16,1,17,1,16,1,17,2,16,1,17,8,12,1,9,1,12,2,8,2,24,2,6,1,7,1,8,2,25,1,8,1,25,1,26,1,27,1,26,1,30,1,6,1,29,1,27,1,30,1,28,1,29,1,27,3,26,1,27,1,26,1,27,1,25,3,26,1,25,1,29,1,25,1,26,1,25,2,8,1,29,1,6,1,25,1,29,1,25,1,8,1,25,1,6,1,25,1,29,1,8,1,27,1,25,1,26,1,27,1,26,1,25,1,29,1,27,2,29,1,27,1,25,1,27,1,25,1,29,2,30,1,28,2,27,3,28,1,27,1,29,1,8,1,26,1,8,2,24,2,17,3,11,1,12,1,16,1,17,3,12,1,17,1,11,1,10,1,11,2,17,1,12,1,17,1,24,1,10,2,24,1,9,1,10,1,12,1,10,1,17,2,24,1,10,2,9,2,10,2,12,1,9,1,8,1,10,1,11,1,9,1,12,3,17,1,10,1,11,1,9,1,12,1,11,1,17,1,10,1,9,1,17,1,11,1,10,1,12,2,11,1,17,1,10,1,12,1,11,1,17,15,16,1,11,3,10,1,9,1,11,1,9,1,11,3,10,1,11,1,9,3,11,1,9,2,11,1,9,1,11,8,16,2,11,1,16,4,11,1,9,2,8,1,13,1,8,1,13,1,9,1,13,2,9,1,13,2,9,1,13,2,8,1,13,3,9,1,8,1,13,1,8,2,13,1,9,1,8,1,24,1,10,1,8,1,9,1,10,1,24,1,9,1,17,1,8,1,10,1,11,5,17,1,9,1,17,1,12,1,17,1,11,2,9,1,11,1,8,1,13,1,17,1,12,1,17,1,12,1,11,2,9,1,17,1,11,1,9,1,11,1,17,1,12,1,17,1,11,1,8,1,10,2,9,1,24,1,8,1,10,1,9,2,11,1,8,1,9,1,12,1,11,1,9,1,11,1,17,1,11,2,17,2,9,1,17,1,9,1,10,1,12,1,17,2,11,2,10,1,12,1,10,3,9,3,10,1,17,1,10,1,9,1,17,1,9,1,10,1,17,1,10,4,12,1,17,1,10,1,17,1,8,1,11,1,17,1,9,1,17,1,9,1,17,2,12,1,17,3,8,1,17,1,11,1,17,4,12,1,11,1,17,1,10,1,17,7,11,1,17,1,11,1,17,2,11,1,17,4,11,1,17,11,11,1,17,2,12,1,9,2,10,2,9,1,8,1,9,1,10,1,13,1,8,3,11,1,8,2,11,1,12,2,8,1,9,1,8,1,10,1,9,1,8,1,24,1,9,1,13,1,11,1,9,5,11,1,8,3,13,1,9,1,6,1,29,1,6,1,30,3,28,2,29,1,7,1,13,2,8,1,13,3,8,1,9,1,13,1,9,1,8,3,7,1,8,1,9,1,8,1,13,2,8,2,13,2,7,1,29,1,28,8,30,1,28,4,30,1,28,17,30,1,28,1,29,1,6,1,11,1,13,1,8,1,13,2,29,1,6,1,28,19,6,1,28,2,5,28,28,12,9,1,14,1,17,1,12,1,10,2,9,2,13,1,8,1,13,1,8,1,13,1,9,1,10,1,12,1,10,1,9,1,28,6,13,1,17,1,16,1,29,1,28,31,9,1,12,1,9,1,8,2,6,1,9,1,17,1,24,1,8,1,6,2,}, {10,1,29,2,13,1,28,1,29,1,12,1,17,1,28,1,30,2,28,4,30,1,28,1,30,1,28,4,30,1,28,6,30,1,28,5,30,1,28,11,7,1,6,1,9,1,13,1,7,1,13,1,17,2,10,1,6,1,29,1,30,1,29,1,6,1,28,1,24,1,17,1,9,1,8,1,24,1,7,1,24,1,8,2,9,1,24,1,7,1,6,1,9,3,13,1,6,1,29,1,6,1,13,1,16,1,8,1,13,1,24,1,13,1,9,2,8,3,9,1,17,2,11,1,13,3,9,1,14,1,24,1,30,1,28,9,30,1,28,3,30,1,28,4,30,1,28,4,30,1,13,1,8,1,13,1,24,1,8,1,17,1,14,1,16,1,13,1,29,1,13,1,7,1,29,1,6,1,8,1,13,1,17,3,12,1,9,1,10,1,9,1,13,1,8,1,13,1,6,1,13,3,9,2,24,1,12,1,13,2,28,2,30,1,29,1,28,1,30,1,28,7,13,1,17,1,11,3,9,1,11,2,8,1,11,2,9,2,11,1,8,1,9,1,11,1,13,1,11,1,9,1,13,1,11,1,9,1,11,1,10,1,6,1,9,3,8,1,9,1,13,1,8,1,9,1,11,1,9,1,17,1,16,1,10,1,11,1,16,1,11,1,9,2,11,1,9,1,16,1,11,1,12,1,13,1,29,2,6,2,28,1,27,2,29,1,25,1,29,1,26,1,25,1,27,2,25,1,27,1,25,1,8,1,24,1,12,1,24,1,9,1,12,3,17,2,12,1,17,8,12,1,17,2,12,1,17,4,12,1,15,1,17,1,12,1,24,1,28,6,9,1,8,6,13,1,24,1,13,1,8,1,6,1,13,1,8,1,13,1,24,1,13,1,8,1,29,1,12,1,13,1,7,1,13,1,6,2,7,1,6,1,29,1,8,1,6,4,30,1,6,1,29,1,7,1,29,1,6,1,29,1,6,2,28,1,29,1,6,1,13,1,6,2,28,1,29,1,6,1,29,1,6,1,13,1,8,1,24,1,29,1,7,1,8,1,7,1,6,1,7,1,29,1,6,2,8,1,7,1,13,1,6,1,13,1,7,2,24,1,7,2,8,1,7,1,8,1,13,1,24,1,13,1,24,1,8,1,24,1,8,1,24,1,13,1,24,1,8,1,13,1,8,1,13,1,24,1,6,1,8,1,13,1,6,1,7,1,30,1,6,1,30,1,7,1,6,1,30,1,6,1,30,1,28,50,30,1,28,5,30,1,29,1,30,2,29,1,6,2,28,1,29,1,8,1,26,1,30,1,13,1,8,1,13,1,24,2,12,1,11,1,17,1,12,1,9,1,12,2,10,1,9,1,12,3,10,1,12,1,17,1,10,1,24,1,17,1,12,1,9,1,17,1,10,1,12,1,17,1,12,1,24,1,17,1,12,1,10,1,12,1,9,2,10,2,17,1,10,2,17,1,9,1,11,1,9,1,24,2,17,1,12,1,10,1,12,1,17,10,12,4,17,1,12,1,17,6,16,1,11,1,17,3,16,5,11,1,16,7,11,1,16,2,11,1,16,4,11,1,16,1,11,2,10,1,16,2,11,3,16,1,11,2,16,2,11,1,16,1,11,1,16,2,11,1,16,4,11,1,16,1,9,1,11,2,16,1,11,3,9,1,11,1,16,2,11,1,10,1,17,1,11,1,6,1,28,24,6,2,28,40,30,1,28,2,29,1,30,1,28,4,30,1,25,1,29,1,25,1,26,1,8,1,25,1,7,1,24,1,10,2,17,1,12,1,17,4,29,1,28,82,29,1,28,1,7,1,13,2,8,1,7,1,9,2,13,1,8,1,12,1,10,1,9,1,24,1,9,5,12,1,17,1,9,1,8,1,13,1,6,1,13,1,30,1,6,4,13,4,6,1,13,1,8,1,13,2,30,1,13,1,30,1,13,1,6,3,30,1,13,2,30,1,6,2,13,1,28,1,6,2,28,1,13,1,28,1,30,2,6,1,28,1,6,2,30,1,6,1,29,1,6,1,13,1,6,3,30,1,13,2,28,1,6,1,30,1,6,2,7,1,6,1,8,1,6,2,30,1,6,3,30,1,6,1,30,2,6,1,28,2,30,1,6,1,13,1,6,1,8,1,6,1,13,3,6,1,7,1,13,2,6,1,13,2,6,1,13,1,6,1,9,1,13,2,6,1,9,1,6,1,28,1,30,3,7,1,13,2,7,1,13,1,8,1,9,2,13,1,30,1,28,1,6,1,33,89,5,294,11,1,9,2,10,1,9,1,11,1,10,1,17,1,10,1,17,2,11,2,10,1,9,1,8,1,11,1,9,1,12,1,17,2,12,1,10,1,9,1,24,1,13,1,24,2,10,1,11,1,17,2,12,5,17,1,11,1,12,1,17,2,11,1,17,2,12,2,17,2,9,1,12,1,11,1,17,1,12,1,9,1,13,2,8,2,13,2,8,2,9,2,8,1,12,1,11,1,17,1,12,1,17,3,16,1,13,1,5,3,17,10,12,3,10,4,12,2,10,1,24,2,9,2,8,1,9,1,13,1,9,1,13,1,9,1,10,1,24,1,9,1,11,1,12,3,10,2,17,1,10,2,13,1,7,1,9,1,8,1,13,1,9,1,10,1,8,1,11,1,8,1,12,1,9,1,11,2,12,1,10,1,12,3,11,1,12,1,11,1,12,3,17,3,12,1,11,1,17,2,12,1,11,2,10,1,11,1,12,1,11,2,12,2,17,4,12,1,17,1,11,2,12,1,17,1,9,1,17,1,11,1,10,2,12,1,17,1,11,1,9,1,10,1,6,1,13,2,9,4,13,1,11,1,9,1,10,1,11,1,9,1,10,1,11,1,10,1,9,2,16,1,13,1,11,1,9,2,11,1,10,1,9,2,11,1,9,2,8,1,13,1,8,3,6,1,8,2,13,2,10,1,13,2,6,1,13,2,8,3,9,2,13,1,9,4,13,1,8,1,9,1,8,1,9,3,10,1,9,1,11,2,16,1,10,1,16,1,11,2,16,1,11,7,16,1,11,1,16,2,11,1,16,3,17,1,11,1,30,1,13,3,16,1,17,1,16,2,13,1,6,3,30,1,13,4,6,1,13,4,6,1,13,1,9,1,16,3,17,2,16,1,17,5,13,2,6,2,29,1,30,2,13,1,8,1,9,1,12,1,10,1,12,1,17,1,9,1,10,1,9,1,11,1,9,1,12,1,8,1,12,3,8,1,9,1,8,1,24,1,12,1,9,1,8,1,10,1,8,2,17,1,9,2,17,3,11,1,16,1,9,2,11,1,10,1,17,1,9,1,12,2,9,1,17,1,12,1,17,1,9,2,8,3,9,2,13,1,12,4,8,2,13,2,24,1,26,1,25,1,27,2,28,1,30,1,27,1,29,2,30,1,29,4,30,1,26,1,30,1,26,1,27,1,29,1,6,3,12,1,13,1,30,1,13,2,24,2,8,2,24,3,12,1,24,1,9,1,24,2,10,2,12,1,24,3,12,1,24,1,10,1,17,1,12,1,10,2,9,1,12,1,8,1,12,1,10,1,12,1,17,1,11,1,17,1,10,2,12,1,9,2,10,2,17,1,24,1,11,1,12,1,11,1,16,1,12,1,8,1,16,1,12,3,11,1,9,1,17,1,16,2,17,1,12,2,16,3,11,1,17,2,16,1,17,1,11,1,17,8,11,1,17,1,11,1,10,1,9,1,8,1,24,1,8,2,9,1,7,1,8,3,6,1,7,1,6,1,8,1,24,1,25,4,26,1,27,1,25,1,27,1,25,2,6,1,25,1,7,1,8,1,6,1,7,1,8,1,7,1,8,1,7,1,25,1,8,2,24,1,6,2,8,1,25,1,8,1,25,2,6,1,25,2,8,1,27,1,26,1,25,1,27,1,29,1,25,3,29,1,25,1,30,1,27,2,28,1,25,1,29,1,28,1,26,1,25,3,24,3,8,1,12,2,10,4,9,1,17,1,9,1,17,1,11,2,17,1,12,2,9,1,12,3,9,1,12,1,8,1,9,1,10,1,9,1,24,1,11,1,24,1,10,1,9,3,12,1,17,1,9,1,11,1,17,1,9,1,10,1,9,2,10,1,11,1,9,1,17,1,11,1,12,3,11,1,9,4,11,1,12,1,8,1,11,1,16,1,11,1,16,1,11,1,17,12,11,1,9,1,11,1,10,1,11,2,9,2,11,2,16,1,10,1,9,2,10,1,9,2,11,3,9,1,11,1,16,1,11,2,16,1,11,1,16,1,11,3,16,1,11,2,9,1,11,1,16,2,11,2,16,6,11,1,9,2,13,1,8,1,13,1,7,1,9,1,13,2,8,2,13,1,8,2,13,1,8,1,13,3,8,1,13,1,8,2,9,4,10,1,9,2,12,1,9,1,10,3,9,1,11,2,17,1,12,1,17,5,11,1,12,1,17,2,12,1,9,1,11,1,12,1,11,1,17,1,12,2,17,1,11,1,9,1,10,1,17,1,10,1,17,1,11,1,12,1,9,1,8,1,9,1,10,2,9,1,8,1,10,2,17,1,13,1,10,1,11,1,8,1,17,1,12,1,10,1,9,1,11,1,17,1,12,1,8,1,17,1,11,1,8,1,17,1,12,1,9,1,12,1,17,1,9,3,11,1,17,2,12,2,9,1,11,1,17,1,9,1,10,1,12,1,16,1,8,1,11,1,8,1,17,1,10,1,11,2,17,1,9,1,12,1,11,1,17,1,10,1,11,2,17,1,9,2,17,1,12,1,17,7,12,1,17,8,11,1,17,4,12,1,11,1,17,8,12,1,17,5,12,1,17,3,11,1,17,2,10,1,17,1,11,2,12,1,11,2,9,1,13,1,8,1,11,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,17,1,10,1,9,1,8,1,9,2,8,1,9,1,13,1,8,1,9,2,8,2,9,1,8,1,10,1,13,1,8,2,13,1,29,1,6,1,30,1,28,1,29,1,6,2,28,1,30,2,13,2,8,1,13,3,8,1,13,1,9,2,13,1,9,1,8,1,10,1,13,1,8,3,9,1,8,1,13,2,8,2,6,1,7,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,20,6,1,7,1,6,1,24,1,13,1,8,2,13,2,29,1,30,1,28,17,6,1,9,1,6,1,5,28,28,12,9,1,14,1,17,1,16,1,11,1,10,1,8,2,13,1,8,2,7,1,13,1,24,1,13,1,9,3,30,1,28,5,6,1,14,1,9,1,30,3,28,29,10,1,11,1,8,2,13,2,11,1,17,1,24,1,13,1,8,1,29,1,}, {11,1,28,1,6,2,30,1,6,1,15,1,17,1,6,1,28,8,30,1,28,7,30,1,28,20,6,1,7,2,8,2,24,2,12,1,17,1,9,1,6,3,7,1,30,1,28,1,10,1,17,1,9,2,6,2,13,1,8,1,11,1,13,1,8,1,6,1,7,1,17,2,10,1,6,3,13,1,6,1,9,1,17,1,24,1,8,2,12,1,8,1,24,1,7,1,8,1,9,1,14,2,15,1,9,1,8,1,13,1,10,1,16,1,17,1,30,1,28,24,7,1,13,1,8,3,12,1,14,1,15,1,6,1,7,1,13,1,6,2,30,2,8,1,11,1,17,3,16,1,9,1,10,1,8,1,13,1,9,1,13,1,8,2,13,1,9,1,17,1,12,1,10,1,8,1,28,1,6,1,28,1,30,1,28,8,30,1,28,1,13,1,17,1,11,3,13,1,11,1,9,1,16,1,11,1,9,1,13,1,9,1,13,1,11,1,9,2,13,1,11,1,9,1,13,1,11,2,8,1,11,1,10,1,9,4,16,2,11,1,13,1,9,3,11,3,17,1,11,1,12,1,9,1,13,1,9,3,11,1,13,1,6,1,29,1,6,1,30,1,25,1,30,1,27,1,29,1,25,2,29,1,25,2,8,1,26,1,25,1,26,1,8,1,10,1,24,1,10,1,9,1,17,1,10,1,17,3,12,1,17,14,12,1,17,2,15,3,9,1,28,6,9,1,8,1,24,1,8,2,13,3,8,1,7,1,8,1,13,1,8,1,10,1,30,1,8,1,13,1,9,1,13,1,24,1,8,1,24,1,6,1,24,1,13,2,6,1,7,1,8,1,29,1,13,2,6,1,30,1,6,2,13,1,6,1,30,1,29,1,6,1,29,1,6,1,13,1,6,2,7,1,6,1,13,1,8,1,6,2,8,1,13,1,6,1,24,1,13,1,8,1,13,1,8,1,30,1,29,1,30,1,7,2,13,1,6,1,24,1,8,1,13,2,30,1,7,1,6,1,8,2,13,1,7,1,24,2,8,4,13,6,7,1,6,2,13,1,29,1,7,1,30,1,6,2,13,1,29,1,6,1,30,1,6,1,28,55,29,1,28,1,30,1,29,1,28,2,6,1,28,1,25,1,30,1,29,1,30,1,25,3,6,1,8,1,7,1,24,1,9,2,24,1,9,1,17,2,12,1,10,1,17,1,12,2,9,1,10,1,11,1,17,1,9,1,10,1,12,2,10,1,17,2,12,1,10,2,9,3,17,1,9,1,12,3,17,1,8,1,12,1,24,1,11,1,10,1,9,1,12,1,9,1,10,1,9,1,17,1,9,1,10,1,17,2,12,1,17,8,11,1,17,6,12,1,17,4,11,1,17,1,16,1,17,2,16,1,17,1,16,5,17,1,16,4,11,1,16,4,11,1,16,2,11,2,16,1,11,2,16,2,11,1,16,5,11,1,16,1,11,2,16,3,11,1,16,1,11,2,16,3,11,1,16,2,17,1,11,9,17,2,13,1,28,1,30,1,28,24,6,1,28,39,29,1,28,3,29,1,30,1,28,3,30,1,28,1,25,1,27,1,26,1,25,2,8,3,24,1,12,1,10,1,12,1,17,3,10,1,28,82,29,1,6,1,30,1,13,1,7,1,8,1,13,1,8,4,13,1,10,1,8,1,11,1,9,1,10,1,9,1,12,1,17,1,12,1,17,1,16,1,9,1,13,2,6,1,13,3,30,1,6,1,13,14,6,1,30,1,13,2,30,1,6,3,13,1,29,1,6,1,13,1,30,1,28,1,6,1,28,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,13,1,30,1,6,2,30,1,29,1,6,1,30,2,6,7,30,1,6,1,13,1,29,1,7,1,30,1,6,3,30,1,6,1,13,1,6,2,13,3,6,2,13,1,6,1,28,1,30,1,13,4,6,4,30,1,8,1,13,2,6,1,13,1,6,1,28,1,29,1,6,1,13,1,8,1,11,2,10,1,9,1,28,1,13,3,6,1,28,1,33,87,5,296,11,1,16,1,11,1,12,1,11,1,12,1,17,1,12,2,17,1,12,3,11,1,17,1,10,1,17,2,12,1,9,1,10,1,9,1,10,1,9,1,13,1,8,1,24,1,9,1,12,1,9,1,10,1,12,1,17,1,10,1,11,1,17,1,12,1,11,1,17,1,10,1,12,1,11,1,10,1,9,1,10,1,17,1,12,1,10,2,17,1,12,2,9,1,8,1,13,1,8,2,13,1,7,1,9,1,10,1,8,1,11,2,12,1,11,1,17,2,12,1,17,1,11,1,5,5,16,1,17,9,11,1,12,1,17,1,12,1,10,1,17,1,9,1,10,1,12,1,11,2,10,1,8,1,11,1,8,1,9,1,8,1,13,1,17,1,13,1,8,1,10,2,9,1,12,4,9,1,10,1,12,2,17,1,6,1,9,2,8,3,9,2,24,1,9,1,10,2,11,1,12,1,10,1,11,1,9,1,10,2,12,2,11,1,12,1,17,1,12,1,17,7,11,1,12,1,11,2,12,1,17,1,11,1,12,1,11,1,17,5,12,1,11,1,9,1,17,1,12,1,17,2,12,5,10,1,12,2,28,1,8,1,7,1,8,1,9,2,11,1,10,1,11,1,9,4,17,1,9,1,11,1,9,1,11,1,9,2,10,1,17,1,11,1,16,1,17,1,11,2,9,2,13,1,9,1,6,1,9,1,8,1,9,1,13,2,8,1,13,2,8,1,13,6,8,4,9,4,13,4,9,4,11,3,9,1,11,1,10,1,11,4,16,1,11,3,16,3,11,1,16,9,28,1,13,1,6,2,9,1,16,1,17,1,16,1,11,1,30,1,6,1,13,2,6,2,13,10,11,1,16,3,17,7,16,1,9,1,13,1,29,1,6,1,30,1,7,1,13,1,24,1,9,2,12,1,9,1,10,1,11,1,12,1,24,1,9,1,24,1,11,1,12,1,9,1,24,1,17,1,9,2,10,1,24,4,12,1,24,1,17,1,24,1,10,1,9,1,12,1,17,2,12,1,10,1,17,1,24,1,11,1,8,1,12,2,24,1,16,1,11,1,9,1,11,1,12,1,9,1,24,1,12,1,8,1,24,1,9,1,10,1,9,1,12,1,8,1,24,3,9,1,24,1,13,1,9,1,7,1,26,1,8,1,29,2,28,1,29,3,25,1,27,2,29,1,25,2,8,1,29,1,25,1,27,1,6,1,25,1,8,1,6,1,10,1,8,1,13,3,8,2,9,1,8,1,24,1,12,1,24,1,10,1,9,1,13,1,12,1,9,1,8,1,24,3,8,1,12,1,24,1,12,1,24,1,9,1,10,4,12,1,24,1,9,1,10,1,9,2,10,1,9,1,12,1,9,1,8,1,12,1,8,1,24,1,9,1,10,1,8,1,24,1,12,2,8,1,9,1,12,1,17,1,9,1,17,1,9,1,17,5,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,2,16,1,17,1,16,1,17,17,11,1,9,1,12,2,9,1,8,1,24,1,8,1,13,1,8,3,25,1,8,1,25,2,8,1,24,1,13,1,7,1,8,1,10,1,24,1,7,1,13,2,8,3,24,1,8,1,24,4,8,1,24,1,8,3,12,1,7,1,8,1,25,2,8,1,30,1,25,1,26,2,25,1,27,2,25,1,27,1,26,1,25,1,29,1,27,1,25,1,29,1,8,1,25,1,27,1,24,1,25,1,24,1,10,1,24,1,17,1,12,3,10,1,12,1,17,3,9,1,10,1,17,2,12,1,9,2,12,2,9,1,17,1,8,1,24,1,9,2,24,1,17,1,12,1,24,1,9,1,12,1,24,1,11,1,10,1,24,1,10,1,9,1,10,1,17,1,12,2,13,1,9,1,10,1,9,1,10,1,11,1,12,1,17,2,11,1,12,2,17,1,16,1,11,2,10,1,12,1,11,1,10,1,16,2,17,12,16,1,8,1,9,2,11,2,9,1,10,1,9,2,10,1,9,1,8,1,9,3,11,1,10,1,16,1,9,1,8,1,16,1,17,1,9,1,10,1,9,1,11,3,16,1,11,6,16,1,11,1,16,1,11,1,16,2,11,1,16,3,17,1,16,1,17,3,9,3,8,1,9,2,13,1,9,1,13,1,8,3,9,1,13,1,8,1,9,1,8,2,9,1,8,1,17,1,8,2,9,4,11,1,9,1,11,1,10,1,12,1,11,3,17,1,12,1,17,1,11,1,12,1,17,4,9,1,17,3,11,2,17,3,10,1,17,1,12,1,9,1,12,1,11,1,12,1,17,1,11,1,12,2,9,1,17,1,12,1,13,1,17,1,11,1,10,1,9,1,11,1,17,1,8,1,17,1,10,2,11,1,17,2,12,1,9,1,10,1,11,1,10,1,17,1,12,2,8,1,11,1,9,1,8,1,17,1,9,1,10,1,17,1,9,1,11,1,8,1,12,1,9,2,11,2,10,1,9,1,17,1,11,1,12,1,11,1,17,1,10,1,11,2,12,2,11,1,10,1,17,1,9,1,12,2,11,1,12,1,17,14,11,1,17,10,11,1,12,1,17,3,12,1,17,17,11,1,17,2,11,1,17,1,16,1,9,1,17,1,11,1,9,1,11,1,9,2,8,1,9,3,11,1,9,2,13,1,8,1,9,2,11,1,8,1,24,1,9,4,8,2,10,1,9,1,11,1,8,1,9,1,13,1,28,1,30,1,7,1,29,1,30,1,6,2,30,1,13,1,7,1,8,2,9,1,11,1,13,1,9,1,10,1,8,1,9,2,8,1,13,1,9,2,13,1,8,2,9,3,13,4,8,1,7,1,13,1,6,1,29,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,17,30,1,29,1,6,2,13,1,24,1,9,1,11,1,24,2,13,1,7,1,28,9,30,2,28,5,6,1,13,1,30,1,5,27,33,1,28,12,13,1,17,2,16,1,12,1,9,2,8,1,13,1,6,1,13,3,24,1,9,1,12,1,9,1,8,1,28,6,24,1,14,1,11,1,6,2,30,1,28,29,9,1,11,2,24,1,13,2,12,1,11,1,10,1,24,1,6,1,28,1,}, {9,1,7,1,6,1,30,1,6,1,30,1,10,1,15,1,6,1,28,8,6,2,28,11,30,1,28,15,30,1,6,1,7,1,6,1,13,1,8,1,9,2,17,1,12,1,8,1,7,1,6,1,28,1,30,1,29,1,17,2,12,1,13,2,6,1,13,1,9,1,24,1,8,1,6,1,7,1,6,1,12,1,17,1,8,1,9,1,13,1,6,2,13,1,9,1,17,2,24,1,9,1,13,1,9,1,24,1,13,1,8,1,24,1,12,1,14,1,10,1,13,2,24,1,15,1,16,1,9,1,30,1,28,6,30,1,28,12,30,1,28,2,30,1,28,1,29,1,6,1,13,2,8,1,17,2,24,1,29,1,6,2,7,1,6,2,13,2,17,5,11,1,9,1,13,1,9,2,8,1,24,1,8,1,12,1,8,1,17,2,16,1,13,1,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,1,30,1,17,2,11,2,9,1,10,1,9,3,11,1,9,1,11,1,16,1,11,1,10,1,13,1,10,1,9,1,11,1,9,2,8,1,9,2,11,1,9,2,11,2,10,1,9,1,8,2,11,3,17,1,10,1,9,1,17,1,9,5,11,1,17,1,13,1,6,2,29,1,28,1,30,1,29,1,27,1,25,1,29,1,25,1,27,1,8,1,25,1,26,2,24,4,8,1,7,1,9,1,24,1,9,1,17,1,12,1,17,1,12,2,17,1,10,1,17,11,10,1,17,3,12,2,17,2,28,7,30,1,24,2,13,1,8,3,7,1,24,1,13,1,7,1,24,2,6,1,13,1,8,2,24,1,13,1,8,1,13,1,7,3,13,1,8,1,13,1,7,1,6,2,30,1,6,2,13,1,6,2,29,2,8,1,6,1,7,1,30,1,29,1,6,3,8,1,6,2,7,1,6,1,30,1,7,3,30,1,7,1,6,1,13,1,29,1,8,1,13,2,7,1,8,1,29,1,8,1,7,3,9,1,7,2,6,1,7,1,13,1,24,1,13,1,7,1,13,1,7,2,13,1,7,1,13,1,8,1,7,2,13,1,6,1,8,1,13,1,29,1,6,2,29,1,30,1,6,1,30,1,28,62,29,1,30,1,28,1,30,2,6,1,30,1,27,1,29,2,6,1,8,2,13,1,8,1,7,1,8,2,24,1,12,3,17,1,9,1,12,1,24,1,12,4,9,1,24,1,12,2,11,2,8,1,12,1,17,1,12,1,10,1,9,1,17,1,10,1,17,1,12,1,9,1,24,1,9,1,17,1,10,1,17,3,9,3,11,1,12,2,9,1,17,2,12,1,17,6,9,1,17,5,9,1,17,1,12,1,17,10,16,4,17,1,16,3,11,1,16,4,17,1,16,5,11,1,16,2,11,2,16,3,11,1,16,4,17,1,16,2,11,1,16,1,11,1,16,12,11,1,16,2,11,1,16,5,11,1,10,1,11,1,17,1,11,1,13,1,28,26,29,1,28,34,29,1,28,5,29,1,28,2,30,1,28,1,30,2,28,1,29,2,6,1,29,1,25,1,27,1,26,1,25,1,8,2,12,2,17,5,9,1,28,81,30,1,7,1,30,1,6,1,13,1,8,2,7,1,6,1,24,2,12,1,9,1,12,1,24,2,12,1,8,1,10,1,9,1,8,1,10,1,17,1,11,2,13,1,6,1,13,3,30,1,6,4,8,1,13,4,6,1,13,3,9,1,13,1,9,1,13,1,30,1,13,1,30,1,13,1,30,2,6,1,13,2,6,1,30,2,28,2,6,1,28,2,30,4,6,1,13,2,30,2,6,1,13,1,28,1,6,1,13,1,29,1,6,3,30,1,6,1,7,1,28,1,13,1,29,1,13,1,8,1,13,2,30,1,6,2,30,1,6,1,28,1,13,1,6,2,30,1,13,5,6,1,13,2,30,1,13,1,6,3,13,3,6,1,13,2,28,1,7,1,13,2,7,1,6,1,8,1,6,1,13,1,8,1,13,3,9,1,11,1,8,1,9,2,13,1,30,1,13,2,6,1,28,1,33,86,5,298,16,1,11,1,17,1,12,1,10,1,17,4,12,3,17,4,10,1,24,2,9,1,8,1,24,1,8,1,7,2,8,1,24,3,12,1,9,1,12,3,17,2,11,1,10,1,9,1,10,1,9,1,11,2,12,1,17,2,12,1,17,1,11,1,8,2,13,1,8,2,13,1,9,3,8,1,9,1,11,1,12,2,11,1,10,1,11,1,17,1,5,6,16,1,17,10,10,2,12,1,10,1,17,1,12,3,17,3,8,2,11,1,9,1,8,1,24,2,8,2,9,1,7,1,13,1,9,1,10,1,12,3,10,1,12,5,9,1,24,1,8,3,12,1,8,1,10,1,17,1,24,1,12,1,10,2,12,1,10,1,9,1,10,1,9,1,12,3,17,6,12,1,17,3,10,1,12,1,10,1,12,2,11,1,17,1,12,1,17,4,12,1,11,1,17,1,11,1,17,1,12,1,11,1,17,1,11,2,9,1,11,1,17,1,11,1,10,1,12,1,13,2,7,1,9,1,8,1,10,1,9,2,8,1,10,1,9,1,8,1,11,1,10,1,8,1,11,2,10,1,9,2,10,1,9,1,11,1,8,1,11,1,10,1,9,2,13,1,8,1,9,3,13,3,8,2,13,1,9,1,13,1,8,2,13,1,9,1,13,3,8,1,13,2,9,2,8,1,9,1,8,1,9,1,13,1,9,1,13,2,9,1,11,3,9,2,11,1,9,1,11,1,16,1,11,4,16,1,11,1,9,1,11,1,16,1,11,2,16,2,11,1,16,6,6,1,13,1,6,1,13,1,16,1,17,1,16,3,28,1,6,1,13,1,30,1,13,1,30,1,6,1,13,3,6,3,13,1,6,1,9,1,16,2,17,1,16,1,17,7,11,1,8,1,30,2,29,3,24,2,10,1,9,1,24,1,12,1,24,1,12,1,24,1,12,1,9,1,24,1,10,1,8,1,10,1,12,3,9,1,24,1,10,1,8,1,12,1,9,1,24,1,9,1,10,1,11,2,17,1,12,2,11,2,17,1,9,1,12,1,24,1,9,1,17,1,12,1,11,1,24,1,12,1,10,1,24,1,11,1,8,1,10,1,13,1,9,3,8,2,12,1,8,1,9,1,10,1,8,1,7,1,8,1,7,1,8,1,26,1,27,1,29,1,27,1,26,1,25,2,29,1,27,1,25,1,30,1,25,1,6,3,7,1,29,1,6,1,8,1,24,1,13,2,8,1,13,1,7,1,8,1,7,1,24,1,10,1,9,1,24,1,10,1,24,4,9,1,12,1,24,1,10,2,24,3,8,1,10,1,24,1,12,1,9,1,10,1,12,1,8,1,24,1,9,1,10,1,24,1,10,1,8,1,24,1,12,1,8,1,9,1,8,1,17,1,9,1,24,1,8,3,10,1,8,1,9,2,12,3,9,1,10,1,17,1,12,1,17,1,11,1,17,2,12,2,17,1,11,2,17,3,11,1,17,1,16,1,17,2,16,2,17,20,10,1,13,1,10,2,24,2,13,1,7,1,8,2,24,1,9,1,8,1,12,2,9,3,10,1,24,1,10,1,9,1,12,2,10,1,8,1,12,1,8,1,12,1,24,1,8,1,24,2,8,1,24,1,10,1,8,1,13,1,7,1,8,1,24,1,26,1,6,1,25,1,29,1,27,1,25,1,26,1,27,1,26,2,27,2,24,2,25,2,24,4,8,1,12,1,24,2,17,1,24,1,12,1,10,1,17,1,12,1,17,1,12,2,11,3,10,1,17,1,11,1,10,1,17,1,12,1,9,3,12,1,10,1,8,1,24,1,8,1,10,1,9,2,10,1,24,1,11,1,9,2,12,1,10,1,8,1,12,1,9,1,24,1,9,1,17,1,9,2,10,1,12,1,10,1,12,2,11,1,17,1,13,1,12,1,17,2,11,1,16,2,17,7,16,1,17,2,16,1,11,1,9,1,11,3,9,2,16,1,9,4,13,1,9,2,8,1,9,1,11,1,8,1,11,2,9,5,11,1,10,1,16,1,11,1,10,1,11,2,9,1,11,1,9,2,10,1,9,1,10,1,11,5,16,1,11,1,16,3,17,1,16,1,17,3,16,2,17,1,16,1,11,1,9,2,11,1,16,1,13,1,9,1,8,1,9,2,13,1,9,1,8,2,9,2,13,1,10,1,8,1,9,1,11,1,10,1,9,3,17,1,11,2,10,1,17,3,10,1,12,2,17,3,11,1,17,2,12,1,17,4,12,1,17,6,12,1,17,3,11,1,10,1,17,1,11,1,10,1,12,1,17,2,9,1,17,2,9,1,17,1,11,1,12,2,17,1,10,1,17,2,10,2,9,1,17,3,12,1,17,1,8,1,11,1,8,1,11,2,9,1,12,1,17,1,8,1,24,1,8,1,17,1,9,1,11,1,10,1,17,1,10,1,9,2,17,1,12,1,11,2,12,2,17,9,12,1,17,10,16,1,17,17,11,1,17,25,12,1,17,1,11,2,9,1,17,1,11,2,8,1,17,1,8,1,9,1,13,1,17,1,9,1,11,1,9,2,8,1,9,1,13,1,11,1,9,1,10,1,9,1,11,1,9,2,11,1,9,4,10,1,9,1,7,1,13,1,6,1,29,1,7,1,29,2,13,1,7,1,9,4,13,1,8,2,9,4,11,1,9,1,8,2,13,1,9,1,8,2,13,1,8,1,9,1,7,1,13,1,6,1,8,1,30,1,13,1,29,2,28,4,30,1,29,1,28,17,30,1,28,1,29,1,28,1,6,1,29,1,30,1,6,1,30,1,29,1,8,1,7,1,8,1,9,2,13,1,28,15,30,1,8,1,30,1,5,27,33,1,28,12,24,1,14,1,17,1,9,3,8,1,24,1,30,1,8,1,13,3,24,1,8,1,12,1,10,1,8,1,28,5,29,1,8,1,14,1,11,1,28,1,30,1,28,30,8,1,17,1,12,1,24,1,13,1,8,1,14,1,17,1,12,1,9,1,8,1,6,1,}, {8,1,7,1,29,2,30,1,6,1,15,1,12,1,7,1,28,2,30,1,28,2,30,1,28,1,30,3,28,26,29,1,7,1,29,1,30,1,13,1,7,1,24,1,9,1,17,2,11,1,13,1,29,1,6,2,29,2,17,2,16,1,13,1,8,1,7,1,9,1,8,2,7,2,6,2,12,1,14,1,10,1,7,1,13,1,6,1,13,1,28,1,8,1,11,2,9,2,10,1,8,1,6,1,10,1,13,1,11,1,14,2,10,1,8,1,9,1,24,1,15,1,16,1,11,1,29,1,28,6,6,1,28,16,30,2,6,1,13,1,8,1,9,1,17,1,16,1,9,1,7,1,13,2,6,1,7,2,13,1,6,1,10,1,17,3,11,1,13,1,24,1,9,1,8,1,13,1,6,1,8,1,13,2,12,1,17,2,16,1,8,1,13,1,29,1,30,4,28,2,30,1,28,3,29,1,28,2,17,1,16,1,11,1,10,1,11,1,10,1,8,1,9,1,16,1,11,1,10,1,11,1,9,1,11,1,9,1,11,2,9,1,11,1,9,2,11,1,10,1,9,1,11,1,16,1,9,1,16,1,9,1,11,1,13,1,9,2,8,2,17,1,16,1,11,1,9,1,13,1,9,1,10,1,9,2,17,1,9,1,17,1,11,1,13,1,30,1,13,1,6,1,30,1,26,1,30,1,27,1,25,1,27,1,29,1,24,1,27,1,25,2,26,1,25,3,24,1,13,1,10,1,24,1,12,1,9,1,10,1,17,1,12,2,17,3,12,1,17,7,12,1,17,6,16,1,17,1,11,1,30,1,28,7,7,1,24,1,8,1,24,2,7,1,13,1,24,1,8,1,7,1,24,2,8,3,13,1,8,2,13,1,6,1,24,1,6,1,13,2,24,1,8,2,7,1,8,1,7,1,6,1,7,2,6,1,8,1,7,1,8,1,29,1,7,2,29,1,8,1,6,1,13,1,7,3,6,1,30,1,6,2,13,1,6,1,13,1,7,1,24,1,8,1,6,3,7,1,13,1,6,1,8,1,7,1,6,1,29,1,8,1,6,1,13,1,6,1,13,2,8,1,7,2,8,3,24,2,6,1,8,1,13,1,30,1,7,3,6,1,29,1,30,1,28,1,6,1,30,1,28,65,30,1,28,2,30,1,6,1,28,1,29,1,30,1,6,1,30,1,28,1,25,1,6,2,30,1,6,1,7,2,8,2,12,1,9,1,24,1,12,1,10,2,17,1,24,1,9,2,10,1,17,1,24,1,10,1,12,3,11,1,10,1,11,2,17,1,12,1,24,1,12,2,17,3,10,1,24,1,17,1,9,2,10,1,17,1,12,1,17,1,12,1,24,1,17,1,12,1,17,1,12,1,17,1,9,1,17,20,16,4,17,1,16,1,17,1,16,4,11,1,16,4,11,1,16,2,11,2,16,1,11,2,16,3,9,1,16,3,9,1,16,3,11,1,16,3,10,1,16,4,11,1,16,9,11,1,16,6,11,1,16,4,17,1,9,1,28,28,7,1,28,24,30,1,28,15,29,3,30,1,28,1,30,1,29,1,6,1,29,1,30,1,29,1,25,1,6,1,8,1,24,1,8,2,10,2,17,5,30,1,28,40,30,1,28,10,29,1,28,28,29,1,30,1,29,2,7,2,13,2,8,1,9,1,24,2,8,1,10,1,24,2,9,1,10,1,24,1,17,1,9,1,12,1,17,1,16,2,8,1,9,1,6,1,13,1,6,2,30,1,6,1,13,3,8,1,13,4,6,2,13,2,9,1,13,2,8,1,13,4,6,1,13,2,6,1,13,2,6,1,30,1,13,1,30,1,29,1,30,2,6,1,28,1,13,2,6,2,13,1,6,2,13,1,6,1,13,1,6,1,30,1,13,1,6,1,13,1,6,2,30,1,29,2,6,1,29,1,28,2,13,1,29,2,13,1,7,1,6,2,30,1,29,1,6,1,30,1,13,1,8,1,13,2,6,1,13,1,6,2,13,2,7,1,13,2,8,1,6,2,13,1,6,1,30,1,13,1,6,3,13,1,6,1,13,1,7,1,13,1,6,1,13,2,14,1,16,2,8,1,13,1,6,1,13,2,6,1,28,1,9,1,30,1,13,2,33,86,5,298,11,3,9,1,12,1,17,9,11,1,10,1,11,1,8,1,9,1,8,1,13,1,24,1,13,1,30,1,6,1,7,1,8,1,13,1,8,1,9,1,12,2,10,1,17,1,12,1,11,1,10,1,12,1,11,1,9,1,24,1,12,4,11,1,9,1,11,1,8,1,13,2,8,1,24,1,8,1,24,1,13,1,8,1,10,1,12,3,11,1,10,1,11,1,17,1,5,7,16,1,17,4,11,1,17,5,12,1,17,1,12,2,9,1,12,1,17,1,12,1,17,1,11,1,12,1,17,1,12,1,9,2,24,1,10,1,24,1,13,1,24,2,9,1,13,1,10,1,13,1,24,1,10,1,12,3,17,1,12,1,17,1,12,1,17,1,24,1,9,3,12,1,17,1,10,1,12,1,24,1,11,1,12,1,11,1,8,1,12,1,10,1,24,1,12,1,10,1,11,1,17,1,11,1,12,2,17,1,11,1,12,1,17,5,12,1,17,3,12,1,17,2,11,1,12,1,17,4,11,1,17,4,11,1,10,2,12,1,11,1,10,2,11,1,9,1,6,2,8,2,11,1,13,2,8,1,9,2,8,1,10,1,9,1,16,1,9,1,10,1,9,6,11,1,9,1,10,1,9,1,10,1,9,1,13,1,9,1,8,1,13,1,8,1,9,1,7,1,9,1,8,1,13,4,8,2,13,2,8,2,13,2,9,2,13,2,9,2,13,1,9,3,13,1,11,1,13,2,11,3,9,1,16,1,9,1,11,6,16,2,11,6,16,7,17,1,13,1,30,1,13,1,6,1,13,1,16,3,9,1,13,2,6,3,13,1,6,1,13,1,6,1,13,2,6,1,30,1,13,1,6,2,16,1,17,1,16,2,17,7,16,1,8,1,13,1,6,1,7,2,29,1,13,2,24,1,9,1,12,1,9,1,12,1,24,1,11,1,9,2,24,1,9,1,24,1,9,1,24,1,10,1,8,1,9,1,8,1,17,1,10,2,8,1,9,1,17,4,12,1,9,1,12,1,9,1,17,1,10,1,13,1,12,1,10,2,17,1,10,1,8,1,12,2,10,1,9,1,24,1,9,1,12,1,17,1,9,1,10,2,9,1,24,1,9,2,24,1,9,1,24,1,8,1,10,1,8,1,6,1,7,1,6,1,26,1,29,1,6,1,25,1,27,1,6,1,29,1,6,1,8,1,6,1,24,3,8,2,24,1,6,1,24,1,8,1,13,1,24,1,8,1,7,1,24,1,10,3,8,1,9,1,10,1,24,1,9,2,10,1,9,1,24,1,9,1,12,1,8,1,24,1,10,1,12,1,10,2,9,1,17,1,8,2,17,1,9,1,10,1,12,2,24,3,12,3,10,1,12,1,10,1,8,1,12,1,24,1,8,1,10,1,8,1,17,1,10,1,9,1,10,1,9,1,8,1,12,1,17,1,12,2,10,1,12,1,10,1,17,1,9,1,12,2,9,1,16,1,12,1,11,1,9,1,17,3,10,1,11,1,17,1,16,2,17,1,16,1,17,17,11,1,17,5,11,1,9,1,12,1,9,2,12,2,11,1,12,1,10,3,17,1,9,1,17,1,9,3,10,2,24,2,9,1,10,1,12,2,8,1,24,1,9,1,24,1,8,1,24,3,8,1,7,1,8,1,7,1,25,4,26,1,8,1,25,1,24,1,8,1,25,1,8,1,25,3,24,1,8,1,12,1,24,1,17,1,10,1,17,1,12,1,10,1,9,1,12,2,17,1,12,2,11,2,17,1,10,2,17,1,12,1,10,1,9,2,12,1,10,1,24,1,9,2,24,1,12,1,9,1,24,2,8,1,24,2,12,1,24,2,8,1,12,1,24,2,12,1,9,2,10,1,11,1,12,2,9,1,11,1,17,1,11,1,17,3,11,1,12,1,17,9,11,3,17,1,11,1,16,2,9,3,11,2,9,9,10,2,13,1,9,2,11,1,9,3,11,2,16,1,9,2,11,1,9,1,11,2,9,1,11,2,9,2,11,1,9,1,16,1,11,3,16,4,11,1,16,8,17,1,16,3,11,2,9,3,13,4,8,1,16,1,11,2,9,1,11,1,9,7,11,1,10,1,9,1,11,1,17,1,11,1,12,1,11,1,12,1,17,2,11,1,9,1,17,1,12,1,17,1,11,1,9,1,17,4,11,1,17,6,11,1,17,3,12,1,17,1,12,1,11,1,17,3,12,1,17,1,11,1,16,1,11,1,10,1,12,1,17,1,10,1,17,1,12,1,11,1,17,1,12,1,17,1,11,1,9,2,17,2,8,1,17,1,11,1,17,1,9,1,11,2,10,1,11,2,9,1,11,1,10,1,17,1,12,1,11,2,17,1,9,2,17,5,11,1,17,20,11,1,17,13,12,1,17,4,11,1,17,17,11,1,17,6,11,1,17,1,16,1,17,4,9,1,10,1,9,2,11,1,8,1,10,1,9,2,8,1,9,2,8,1,12,1,9,6,17,1,11,3,10,1,9,1,11,1,8,1,7,1,9,2,8,1,13,1,9,1,13,2,8,1,9,2,8,1,9,2,17,1,9,3,8,1,11,1,8,1,9,1,8,1,9,3,8,1,10,1,9,1,8,2,13,2,7,1,30,1,29,1,6,1,29,1,6,1,30,1,29,1,28,1,30,1,28,21,6,1,7,1,6,1,28,1,29,4,6,1,29,1,30,1,6,1,8,1,13,2,30,1,28,13,30,1,13,1,9,1,5,27,33,1,28,1,30,1,28,10,8,1,9,1,17,1,11,1,12,1,8,1,9,1,8,1,7,1,6,1,13,1,24,1,8,1,9,1,24,1,12,1,10,1,24,1,28,6,8,1,17,1,24,1,6,1,28,1,29,1,28,29,16,1,12,1,10,1,9,1,24,1,9,1,12,1,17,1,9,1,24,2,28,1,}, {8,1,13,1,30,1,6,3,9,1,17,1,7,1,28,6,30,1,6,1,29,1,30,1,28,27,29,1,28,1,6,1,7,1,6,1,13,1,9,1,17,2,14,1,29,1,6,2,28,1,30,1,28,1,17,3,8,1,7,1,30,1,9,3,13,1,8,1,6,1,30,1,10,1,14,1,24,1,13,1,8,1,7,1,13,1,8,1,9,3,8,3,9,3,8,1,9,1,15,1,14,1,10,1,13,1,8,1,9,2,16,1,12,1,30,1,28,24,6,1,13,1,6,1,13,2,16,1,17,1,9,1,6,1,13,1,7,1,6,1,13,1,6,1,13,2,17,5,8,1,9,1,8,1,13,1,8,1,24,3,9,1,11,1,17,3,8,1,29,1,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,17,1,11,1,17,1,11,1,16,1,11,1,9,2,11,1,9,1,10,1,9,1,16,1,11,4,9,3,16,1,9,1,11,1,16,1,13,1,9,1,8,1,9,3,13,1,9,1,13,1,8,1,9,1,11,1,8,1,17,1,11,1,17,1,16,1,10,1,9,2,8,1,11,2,9,1,6,1,29,4,30,1,27,1,29,1,25,1,27,1,26,1,27,1,8,1,25,1,29,1,25,1,24,1,25,1,24,2,8,1,24,2,12,1,17,6,12,1,17,5,12,1,17,7,12,1,17,2,9,1,17,2,30,1,28,8,6,1,13,1,7,1,24,1,8,1,13,1,8,2,13,1,24,2,8,4,24,2,8,1,9,1,7,1,9,1,8,1,24,1,13,1,8,1,13,1,8,2,13,1,6,1,7,1,13,2,8,2,7,1,6,1,7,1,8,1,7,2,8,1,30,1,13,1,8,2,6,1,13,1,7,2,13,1,6,1,24,1,7,1,6,2,29,1,7,1,30,1,8,1,13,1,28,1,30,1,6,2,13,1,29,1,6,1,7,1,29,1,13,1,7,1,13,4,8,2,7,1,13,1,6,1,8,1,7,1,6,1,24,1,6,1,30,1,29,1,30,1,28,1,30,1,29,1,30,2,28,64,6,1,28,6,29,1,28,1,29,2,28,1,29,1,26,1,8,1,29,1,8,4,12,1,13,1,9,2,12,1,24,1,10,1,12,2,24,1,12,3,10,1,17,1,12,1,10,1,17,3,10,1,17,1,12,1,10,1,17,1,24,1,12,1,9,1,12,2,24,1,12,1,24,1,17,2,10,1,17,1,24,1,10,1,12,1,17,1,12,1,17,1,9,1,17,10,12,1,11,1,17,2,12,1,17,12,11,1,17,1,16,3,11,1,16,6,11,1,16,1,11,1,16,4,11,1,16,3,9,1,11,1,16,1,11,7,16,1,11,1,16,1,11,4,16,10,11,2,16,1,11,1,16,5,9,1,17,2,7,1,28,29,30,1,28,19,30,1,28,19,30,1,28,2,30,1,28,1,6,1,29,2,30,1,25,1,27,1,24,1,27,1,25,1,8,2,24,1,9,1,12,1,17,4,10,1,28,83,30,3,13,2,8,1,13,2,8,2,9,1,8,1,10,2,24,1,9,2,17,1,11,1,12,1,11,1,17,1,9,2,8,2,13,3,6,1,13,3,6,1,13,2,8,1,13,2,6,1,13,6,6,1,13,4,6,1,30,1,6,1,13,1,6,1,30,1,13,2,29,1,30,1,6,2,28,1,13,1,6,1,30,2,29,1,13,1,28,1,6,2,30,1,6,1,30,2,8,1,6,1,30,1,29,1,30,1,13,1,6,1,30,1,13,1,30,1,6,2,13,1,28,1,30,2,13,2,6,1,7,1,13,1,30,1,6,1,7,1,13,2,30,1,13,1,30,1,6,2,13,2,30,1,7,1,6,2,13,2,6,1,13,3,6,1,13,3,30,2,13,1,6,3,13,1,11,1,9,2,13,1,8,2,13,2,6,2,28,1,13,5,33,85,5,300,16,1,11,1,17,2,12,1,9,1,17,6,11,1,17,1,10,2,9,2,13,2,8,1,6,1,13,1,7,1,6,2,7,1,9,3,17,2,12,1,17,1,11,1,12,1,9,1,10,1,12,1,9,1,12,1,17,1,12,1,17,2,24,1,8,1,13,1,24,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,11,1,12,1,11,4,5,8,9,2,17,11,12,2,17,1,12,1,10,1,12,4,17,2,12,2,8,2,11,1,24,1,13,1,9,2,8,1,13,1,24,1,8,1,29,1,13,1,24,1,11,1,12,1,17,1,12,1,10,1,17,1,12,1,10,1,24,1,12,1,9,1,12,1,24,1,12,1,24,1,17,1,10,1,9,2,11,1,10,1,11,1,9,1,12,1,10,1,17,1,11,1,17,3,12,2,17,1,12,1,17,1,12,4,10,1,17,2,11,1,17,1,10,1,12,1,17,1,11,1,17,2,12,3,11,1,17,1,11,2,10,2,12,2,9,1,10,1,8,1,7,1,13,3,7,1,8,1,9,1,8,1,9,3,10,1,9,1,11,1,9,5,8,1,11,1,9,1,11,1,10,1,8,1,9,2,8,2,9,2,8,1,13,2,8,2,13,1,8,1,13,5,8,1,13,2,8,1,9,2,13,1,9,1,8,3,13,1,9,3,13,1,9,1,13,1,9,3,11,1,9,2,16,2,11,3,9,1,11,1,10,1,11,5,9,1,16,1,11,1,16,1,11,2,16,4,17,1,16,1,30,1,8,1,6,1,13,1,11,1,16,1,17,1,16,1,11,1,30,1,6,1,13,2,6,1,13,2,30,1,13,2,6,1,13,1,6,2,13,2,11,1,16,1,17,9,11,1,9,1,6,1,29,2,8,1,13,2,8,1,24,1,10,1,24,3,12,1,9,1,24,1,8,1,10,1,9,1,11,1,9,1,10,1,24,1,9,2,24,1,10,1,24,1,9,1,17,1,9,1,17,1,12,1,8,1,10,1,24,1,17,1,11,1,24,2,9,1,8,1,11,1,9,2,12,1,10,1,9,2,12,1,11,1,12,1,9,1,8,1,10,2,8,1,24,1,8,1,17,1,8,1,10,1,17,1,10,1,24,1,8,1,10,1,13,1,8,1,7,1,13,1,29,1,6,2,7,1,6,1,7,1,6,1,7,2,13,2,8,2,9,1,24,1,13,1,12,1,24,1,10,1,12,1,8,1,12,1,8,1,24,1,11,1,24,1,8,1,12,1,24,1,9,1,8,1,12,1,24,3,12,1,24,2,9,1,8,2,10,1,9,1,8,1,10,1,12,1,24,1,10,1,12,1,8,1,9,1,10,1,11,1,17,1,12,2,10,2,8,1,12,1,8,1,10,1,8,1,13,1,9,1,24,2,8,1,24,3,8,1,9,2,8,1,24,1,17,2,9,1,12,1,11,1,17,1,12,1,17,1,10,1,12,1,16,1,17,2,11,1,17,1,10,1,11,1,17,1,16,2,11,1,17,33,12,1,17,2,10,1,12,3,11,1,17,2,12,2,17,1,12,2,10,1,9,2,8,1,9,1,8,1,9,1,24,1,8,1,9,1,8,2,13,2,7,2,25,1,8,1,26,1,25,2,26,1,8,1,25,1,26,1,25,1,24,1,8,1,24,3,8,1,24,1,10,1,9,1,10,1,17,2,12,1,11,1,17,1,11,2,17,1,10,1,12,1,17,1,10,1,12,1,11,1,9,2,11,2,9,2,8,1,24,2,8,2,24,1,9,1,10,1,24,1,8,1,9,1,12,1,10,3,9,1,12,1,11,1,10,1,9,3,11,1,9,1,11,2,12,1,17,4,11,1,17,10,16,2,11,1,16,1,10,1,11,3,9,2,11,1,9,3,10,1,9,4,8,1,11,1,9,5,10,1,8,1,10,1,11,1,9,2,11,2,10,1,11,2,10,1,9,1,11,3,9,1,16,1,9,1,11,2,9,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,4,17,1,16,2,17,1,16,1,17,4,16,1,11,1,17,1,16,1,17,1,16,2,11,2,17,6,16,1,11,1,17,1,11,2,17,1,11,1,16,1,9,1,17,1,9,1,10,2,11,1,10,1,9,1,12,1,17,4,9,1,11,1,12,1,17,4,9,1,17,2,11,1,12,1,17,1,11,1,10,1,17,2,11,1,17,1,11,1,17,1,12,1,17,1,9,2,17,1,12,1,17,2,11,1,17,1,9,1,11,1,17,2,11,2,17,1,12,2,17,2,8,1,9,1,10,1,17,2,12,2,9,1,11,1,17,1,12,1,11,1,12,1,17,4,11,1,17,2,12,2,17,2,11,1,17,18,11,1,17,2,11,1,17,1,10,1,17,5,11,1,17,1,12,1,17,4,12,1,17,1,11,1,17,14,12,1,17,1,16,2,17,4,9,1,11,1,17,5,16,1,17,5,12,1,17,1,11,1,8,1,9,2,11,1,9,2,11,1,10,1,9,1,8,1,11,1,13,2,9,1,17,7,11,2,9,2,8,2,9,1,8,2,9,2,8,1,9,1,10,1,11,1,9,1,12,1,9,2,8,1,9,3,13,1,24,1,8,2,9,2,13,1,10,1,9,1,8,1,9,2,13,1,6,1,13,1,8,1,6,1,29,1,6,1,30,2,29,1,30,1,28,20,6,3,13,1,28,8,6,1,30,1,13,1,9,1,13,1,28,13,13,3,5,27,33,1,28,1,30,1,28,10,8,1,14,1,17,1,10,1,9,1,8,1,24,1,6,3,30,1,6,1,13,1,10,1,8,1,10,1,17,1,24,1,28,6,13,1,17,1,10,1,28,31,29,1,16,1,15,1,13,3,8,1,17,3,24,1,6,1,28,1,}, {13,1,8,1,6,2,29,1,7,1,17,1,12,1,13,1,28,1,30,1,28,3,13,1,6,1,30,1,6,1,28,28,30,1,28,1,7,1,8,1,9,1,24,1,10,1,9,1,14,1,12,1,13,1,28,1,6,1,29,1,30,1,6,1,11,1,17,2,10,1,6,1,30,1,8,1,9,1,10,1,8,1,13,1,7,1,30,1,12,1,15,1,8,1,7,1,8,1,28,1,13,1,6,1,8,1,12,1,11,1,24,1,11,1,13,1,10,1,9,1,24,1,9,1,13,1,9,1,17,1,8,1,9,1,8,1,9,2,11,1,12,1,13,1,28,20,30,1,28,2,13,1,30,1,13,3,24,1,17,2,11,1,13,1,6,1,7,2,13,1,7,1,6,1,8,1,17,3,12,1,11,1,9,1,8,1,9,2,8,2,9,1,8,1,17,5,9,1,30,2,28,1,30,2,28,2,30,1,28,4,30,2,13,1,10,1,17,2,16,1,11,1,10,2,9,1,11,3,10,1,9,1,11,1,10,1,9,3,11,1,9,1,11,1,16,1,11,2,9,1,13,1,16,1,9,1,11,1,9,1,8,1,13,1,10,1,8,1,17,1,9,1,17,2,9,2,11,1,8,1,9,2,11,1,9,1,17,1,11,1,9,1,8,1,6,1,30,1,29,2,27,4,25,1,8,1,25,3,27,1,25,1,8,2,24,1,8,1,24,1,8,1,10,1,12,1,9,1,12,1,10,1,17,2,12,1,17,11,12,1,17,2,12,1,17,1,10,1,17,2,28,9,30,1,6,1,7,1,24,2,10,1,8,2,7,1,24,1,13,2,9,1,13,1,7,1,8,3,9,2,8,3,13,1,24,1,8,2,7,1,6,1,24,1,6,1,13,1,24,1,8,1,6,1,8,2,29,1,13,1,6,1,7,1,9,1,7,1,8,3,6,1,13,1,29,2,13,1,30,1,13,1,29,1,7,1,6,3,7,1,6,1,7,1,6,2,29,1,24,1,6,2,7,1,29,1,13,1,6,1,7,1,13,1,8,1,13,2,24,1,7,1,13,2,6,1,13,1,9,1,6,1,7,1,6,2,28,1,30,1,28,79,30,1,28,1,30,1,29,2,6,1,28,1,7,1,24,2,10,1,24,1,10,2,17,1,12,1,10,1,17,2,9,1,17,1,10,1,9,1,17,3,24,1,17,1,12,2,17,2,9,1,17,1,12,1,10,1,17,1,11,1,12,1,17,2,12,2,24,1,12,2,17,1,9,1,12,2,17,1,9,1,17,5,16,1,17,6,12,1,17,5,10,1,16,1,17,6,16,3,17,1,16,1,17,1,16,9,11,3,16,1,17,1,16,2,17,1,16,2,11,1,16,2,11,2,16,3,11,5,16,1,11,1,16,1,11,1,16,9,11,1,16,1,11,1,16,6,11,1,16,1,17,2,9,1,28,30,8,1,28,23,30,1,28,7,30,1,28,3,30,2,28,2,30,1,28,2,30,1,29,1,30,3,29,2,27,1,30,1,25,1,8,3,10,1,9,1,10,1,17,4,13,1,28,51,30,1,28,30,6,1,28,1,30,1,8,2,13,1,8,2,13,1,12,1,24,1,9,1,12,1,24,1,12,1,9,1,10,1,9,1,12,1,9,1,11,1,12,1,17,1,16,1,13,3,9,1,6,1,13,1,6,1,13,1,30,1,13,1,6,1,13,4,6,1,13,3,6,1,13,1,6,1,13,1,6,1,13,4,6,1,13,1,6,1,9,1,13,2,9,1,30,1,6,2,28,2,6,1,30,1,28,2,13,1,6,1,28,1,6,1,28,2,6,1,30,2,28,2,6,1,29,1,6,2,30,1,13,1,30,1,13,1,30,2,29,1,6,2,13,1,6,2,13,1,6,1,13,1,6,2,28,1,6,3,30,1,13,2,7,1,6,1,30,1,6,1,13,2,6,1,8,1,6,1,13,1,6,2,13,1,6,1,30,1,6,1,30,1,6,1,13,3,6,1,13,1,9,3,30,1,6,1,8,1,13,2,9,1,13,2,30,1,13,4,9,1,11,1,16,1,33,1,5,1,33,83,5,301,16,2,11,1,12,1,17,1,12,1,17,5,11,1,17,1,11,3,10,1,24,1,8,1,30,1,13,2,8,1,13,1,29,1,13,1,8,1,9,1,11,2,12,5,11,2,9,1,12,1,11,1,17,1,10,1,17,1,13,1,8,4,13,1,9,4,10,1,11,1,17,2,16,1,5,10,13,2,10,1,17,10,12,1,17,1,12,1,10,2,12,3,10,1,12,1,17,1,24,1,12,1,10,1,12,1,8,1,13,1,8,2,9,1,8,1,24,3,10,1,8,2,9,1,10,1,17,1,12,1,17,4,10,1,9,1,12,1,11,1,17,1,10,1,12,1,10,1,17,1,13,1,24,1,12,1,10,1,12,1,9,1,10,1,12,4,11,1,12,1,11,1,12,1,11,1,17,1,12,1,17,1,12,2,17,2,11,1,17,6,11,1,17,3,11,2,17,1,11,1,10,2,12,2,11,1,10,1,11,1,17,1,8,1,13,1,7,1,13,3,9,1,8,2,9,6,8,1,9,7,11,1,9,1,10,1,11,1,9,1,13,1,9,4,8,1,9,2,8,1,13,1,8,1,13,3,6,1,13,2,9,1,13,2,9,3,8,1,9,1,8,1,9,4,13,1,9,2,13,1,11,1,13,1,9,3,11,2,16,1,11,1,16,3,11,1,16,2,11,2,16,3,11,4,16,2,11,1,16,3,17,1,13,1,6,1,13,3,16,4,9,1,13,2,6,1,30,1,13,2,30,1,13,2,6,1,13,2,6,2,13,1,9,1,11,1,16,1,17,1,16,1,17,8,6,1,13,2,6,2,8,2,9,3,24,1,9,1,24,1,8,1,24,1,10,1,9,3,10,2,11,1,17,2,11,1,24,1,9,1,10,3,8,1,12,1,9,1,24,1,10,1,9,2,8,1,24,1,8,1,24,3,10,1,8,1,9,1,8,1,10,1,24,1,10,1,11,1,13,1,10,1,12,1,8,1,24,1,9,1,24,1,9,1,11,1,9,2,10,1,24,2,10,2,9,1,24,1,13,1,8,1,6,1,25,1,7,1,25,2,24,1,8,1,13,1,8,2,24,2,10,1,9,1,24,1,8,2,17,2,24,1,8,1,9,1,10,1,17,1,8,1,11,1,9,1,24,1,9,1,12,1,13,2,12,1,8,1,10,1,8,1,10,1,8,1,12,1,8,1,9,1,12,1,9,1,12,1,8,1,24,1,8,1,10,2,12,1,24,1,12,3,10,1,24,1,12,1,24,1,10,1,8,1,24,2,8,2,24,1,8,2,24,3,10,1,24,1,10,3,9,1,12,3,11,2,17,1,10,1,17,1,10,1,11,1,16,1,17,1,12,1,17,1,16,1,17,1,9,1,17,2,12,1,17,5,16,1,17,4,16,1,17,1,16,2,17,4,11,1,16,1,11,3,16,1,17,1,16,1,17,6,12,1,17,8,10,1,17,2,11,1,17,3,9,1,17,4,12,1,17,1,9,1,10,1,9,1,8,1,7,1,13,1,7,1,13,2,8,1,27,1,26,1,25,1,26,2,24,1,25,2,8,1,25,1,24,2,12,1,25,1,8,1,10,1,12,1,17,1,12,2,9,1,12,1,11,1,12,1,9,1,17,1,12,2,11,3,12,1,24,1,12,1,11,1,17,1,24,1,12,1,9,4,10,1,12,1,24,1,10,1,12,1,8,1,9,1,12,1,9,3,8,1,12,1,9,3,24,1,8,1,12,2,9,1,12,1,11,2,12,1,17,7,16,4,17,1,16,1,11,1,16,1,17,1,11,5,16,1,10,1,9,2,11,2,9,1,11,1,9,1,11,1,9,1,8,2,11,1,9,1,13,1,9,2,13,2,9,3,11,1,9,1,11,2,8,1,11,1,10,4,9,3,16,1,9,1,11,5,9,1,16,1,11,1,16,1,11,3,16,1,11,1,16,8,17,1,16,1,11,1,16,2,17,1,16,1,17,1,16,1,17,27,9,1,17,2,12,1,11,1,17,1,12,1,17,6,11,2,17,1,11,1,17,5,11,1,12,1,17,2,11,1,17,15,11,1,17,1,11,1,17,2,10,1,17,4,9,1,17,14,9,1,17,8,12,1,17,13,16,1,17,2,11,1,16,1,17,3,11,1,17,3,11,1,17,1,11,1,17,1,12,1,17,1,11,3,17,3,11,1,17,1,12,1,17,2,11,1,17,17,16,1,17,1,16,1,17,8,9,1,12,1,11,2,9,1,10,1,11,1,9,1,8,1,9,1,10,1,9,1,17,13,11,1,9,3,10,1,8,1,10,1,9,1,8,1,10,1,13,1,10,1,13,2,11,1,9,1,11,1,10,1,9,1,12,1,9,1,8,1,12,1,13,1,9,2,10,1,8,1,9,2,13,2,9,1,13,1,7,1,30,1,7,1,29,1,6,1,30,1,7,1,30,1,28,11,30,1,28,6,30,1,28,1,29,1,7,1,6,2,8,1,6,1,28,8,7,1,13,2,9,1,8,1,30,1,28,3,30,1,28,7,9,1,13,1,5,28,28,13,10,1,14,1,17,1,10,1,8,1,9,1,13,1,8,1,6,1,7,1,6,2,8,1,9,1,10,1,9,1,17,1,8,1,28,6,8,1,14,1,13,1,28,4,29,1,28,26,7,1,17,1,11,1,13,1,9,1,13,1,8,1,17,1,10,1,17,1,24,1,13,1,28,1,}, {10,1,7,2,6,2,7,1,10,1,24,1,13,1,28,3,6,1,30,2,6,2,29,1,28,6,30,1,28,4,30,1,28,16,6,2,8,1,13,2,9,1,8,1,15,1,14,1,9,1,7,1,30,1,29,1,28,2,30,1,10,1,17,1,12,1,8,1,13,1,7,1,8,2,24,1,13,1,8,1,6,1,28,1,14,1,15,1,9,1,30,2,6,1,30,1,7,1,8,1,11,1,9,1,7,1,12,1,13,1,12,1,24,1,8,1,9,1,8,1,16,1,15,1,11,1,13,1,9,1,12,1,10,1,11,2,30,2,28,23,13,3,24,1,12,1,17,3,6,1,8,1,13,1,29,1,6,3,13,1,17,4,11,1,8,1,13,1,8,1,13,1,24,1,13,2,9,1,17,1,12,1,17,3,9,1,28,1,30,4,28,1,30,1,28,2,30,1,28,2,6,1,28,1,13,1,10,1,17,1,11,1,17,2,9,1,11,2,13,1,11,1,9,2,13,1,11,1,8,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,13,1,9,1,8,1,16,1,11,2,10,1,9,1,8,2,9,1,11,2,16,1,11,1,10,1,9,1,10,2,9,3,17,1,9,1,16,1,11,1,13,1,28,1,30,1,13,1,28,1,6,1,30,1,25,1,27,1,25,2,26,1,24,2,25,1,8,1,6,1,8,2,24,1,8,1,24,1,9,1,8,1,17,1,9,1,12,4,17,9,12,1,17,1,11,1,17,1,12,2,17,1,11,1,17,1,12,1,17,1,13,1,28,9,29,1,6,1,30,1,24,1,8,2,9,1,24,2,9,1,8,1,9,1,7,1,24,1,8,1,13,2,24,4,10,1,8,1,9,1,13,1,8,1,24,1,13,6,8,2,6,1,24,1,29,1,8,1,29,1,8,1,6,1,13,1,6,2,13,1,7,1,6,2,30,1,8,1,13,1,7,1,8,1,13,1,7,1,30,1,29,1,30,1,6,2,7,1,6,1,30,1,6,1,29,1,28,1,6,1,29,1,6,4,8,1,24,1,13,1,7,1,24,1,6,1,13,1,6,3,28,1,30,1,29,1,28,77,29,1,28,2,30,2,29,1,28,1,30,1,29,2,28,1,29,1,25,1,24,1,8,1,10,1,12,1,24,1,12,1,24,2,10,1,9,1,24,2,10,1,12,3,11,1,12,1,10,1,24,1,12,1,11,1,12,1,9,1,10,1,11,1,10,2,12,1,17,1,8,1,24,1,11,1,12,1,10,1,17,1,9,1,12,1,24,1,17,1,12,1,17,2,12,1,17,1,12,1,17,7,12,1,17,1,11,1,17,1,10,1,17,3,11,1,17,5,9,1,16,4,17,2,16,1,17,3,16,5,9,1,11,1,16,9,11,1,16,3,11,1,16,1,11,1,16,4,11,1,16,2,11,1,16,1,11,2,16,8,11,1,16,1,11,1,16,4,11,1,16,3,17,2,13,1,28,30,6,1,28,39,30,1,28,1,29,1,30,1,29,1,30,1,29,1,28,1,29,1,30,1,6,1,30,1,25,1,24,1,7,1,24,2,12,1,17,5,30,2,28,81,29,1,30,1,7,1,6,1,8,1,13,1,6,1,8,1,13,2,9,2,24,1,9,1,17,1,11,1,9,1,24,1,9,1,10,1,9,1,11,1,17,1,16,1,6,1,13,10,6,2,30,1,28,1,13,1,30,1,9,1,30,1,13,1,6,1,13,4,6,4,13,1,6,1,9,1,8,1,13,1,9,1,13,4,30,4,28,1,6,1,13,2,6,2,13,1,30,1,28,1,7,1,29,1,6,2,28,1,6,1,13,1,30,1,13,1,6,1,28,1,13,1,28,1,6,2,30,1,28,1,6,1,28,1,13,4,6,1,30,1,13,3,6,1,30,1,13,1,7,1,13,1,29,1,6,1,13,1,6,1,29,1,13,1,29,1,6,1,13,1,6,1,30,1,6,1,28,1,6,1,13,2,9,1,7,1,13,1,9,3,13,1,9,1,8,1,11,1,13,1,9,1,13,1,16,1,13,1,16,1,13,6,9,2,13,1,9,1,13,1,33,2,5,1,33,80,5,302,11,1,16,1,17,8,12,1,11,1,12,1,17,1,11,1,10,1,9,2,8,1,13,1,8,2,7,2,13,2,9,1,8,1,12,1,10,1,12,2,10,1,12,1,10,1,12,1,17,1,11,1,17,1,12,1,13,1,8,1,13,1,8,3,10,1,9,2,11,1,17,1,11,1,16,1,5,14,13,1,8,1,11,1,17,1,12,1,17,8,12,1,17,1,11,1,12,6,17,1,11,1,12,1,10,1,24,1,9,1,12,1,13,2,9,1,24,1,8,1,13,1,7,1,8,1,13,2,9,1,8,1,10,1,12,1,10,1,12,1,17,1,12,2,17,1,10,1,12,1,17,1,9,1,10,2,17,2,12,1,10,1,12,1,8,1,10,1,12,4,17,5,12,1,17,1,12,1,17,1,11,2,17,2,11,1,12,1,17,3,11,1,17,1,11,2,17,2,10,1,11,1,17,2,10,1,11,1,17,1,12,1,9,1,11,1,12,1,17,1,9,1,13,2,8,1,13,2,7,1,13,1,9,1,8,1,9,1,8,1,9,1,10,1,11,1,9,2,8,1,7,1,9,1,11,1,9,1,11,2,8,1,10,1,9,1,8,1,9,1,13,2,9,4,13,1,8,1,13,2,9,1,13,1,8,2,13,2,8,2,13,1,9,1,13,2,8,1,13,2,9,1,8,2,9,3,8,1,10,1,9,5,16,1,11,1,16,2,11,2,16,2,11,6,16,2,11,1,16,1,11,1,16,8,30,1,13,3,9,1,16,4,9,1,6,1,13,1,6,2,30,1,6,2,13,2,30,1,13,1,6,1,13,1,6,1,9,2,16,1,17,9,11,1,9,1,7,1,13,1,7,1,6,2,8,2,24,1,12,1,10,2,9,3,8,2,12,1,11,1,24,1,17,2,13,1,9,1,24,1,9,1,24,1,8,1,12,1,24,1,10,1,12,1,9,2,8,3,24,1,12,1,8,1,24,2,13,1,24,2,10,1,9,1,10,1,9,1,12,1,8,1,9,1,11,2,9,1,8,1,9,2,24,1,9,1,8,1,12,1,11,1,12,1,24,1,13,1,12,1,13,1,24,3,13,1,6,1,25,2,7,1,24,1,8,1,24,1,8,1,24,2,9,2,10,2,11,1,12,1,17,1,8,1,9,2,24,1,10,1,11,1,24,1,8,1,11,1,10,1,24,1,8,1,10,1,8,1,12,1,8,1,24,1,10,1,9,2,8,1,12,1,9,1,8,1,24,1,11,1,12,1,24,1,12,1,17,1,24,1,12,1,24,1,17,1,24,3,12,1,24,1,12,1,24,2,8,1,7,1,13,1,24,1,10,1,24,1,10,1,24,1,9,1,13,1,24,1,12,1,8,1,10,1,24,1,9,1,12,1,9,2,17,2,11,2,17,1,11,3,17,3,11,1,9,1,11,1,10,1,17,1,16,3,17,2,16,1,17,1,16,1,17,5,16,1,17,1,16,1,17,2,16,1,17,9,16,1,17,9,11,1,17,2,11,1,16,1,17,11,10,1,17,1,10,1,17,1,9,1,10,1,8,2,24,1,13,1,6,2,24,1,25,1,8,1,26,1,25,5,8,2,6,1,24,2,10,1,17,1,8,1,12,2,17,2,10,1,9,2,24,1,9,1,17,1,12,1,11,1,10,1,11,1,10,1,11,2,17,1,10,1,12,2,9,1,17,1,24,1,9,4,12,1,9,1,12,1,9,2,12,1,9,1,7,1,8,1,13,4,8,1,7,1,8,2,9,3,11,1,9,1,16,2,11,1,17,1,11,2,16,1,17,1,9,1,16,3,11,2,16,2,17,1,16,1,11,1,16,1,11,1,9,2,11,1,9,2,10,1,13,1,10,1,9,8,7,1,9,1,13,1,9,1,13,1,9,2,8,1,11,1,9,1,11,1,9,2,11,2,9,1,10,1,11,3,10,2,11,2,16,2,11,1,16,1,11,2,9,1,11,2,16,8,17,1,16,7,17,2,16,1,17,74,11,1,12,1,11,1,17,29,11,1,17,12,12,1,11,1,17,12,12,1,11,2,9,1,11,1,17,1,11,1,17,38,10,1,9,1,8,2,13,2,9,1,13,1,8,1,11,1,17,13,12,1,11,1,8,1,11,1,9,1,10,2,9,2,11,1,8,1,11,1,9,3,8,2,9,2,10,1,9,1,8,1,12,1,13,1,8,1,24,1,9,2,10,1,9,3,8,1,9,1,13,3,7,2,30,2,7,1,28,1,29,1,28,10,30,1,28,1,30,1,28,4,6,1,8,1,9,1,10,2,24,1,6,1,28,10,6,1,13,1,17,1,13,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,13,1,5,29,28,3,30,1,28,8,30,1,9,3,24,1,8,1,24,1,9,1,6,1,7,1,29,1,13,1,6,1,8,1,9,1,17,1,12,1,17,1,13,1,28,6,8,1,14,1,29,1,28,3,30,1,28,27,7,1,14,1,15,1,9,1,24,1,8,1,6,1,17,1,12,1,9,1,6,1,29,1,30,1,}, {15,1,8,1,30,1,7,1,13,1,29,1,8,1,12,1,29,2,28,1,29,1,6,2,28,3,13,1,28,12,30,1,28,13,29,1,28,2,6,1,7,1,6,1,10,1,12,1,8,1,12,1,14,1,11,1,13,1,30,1,13,1,28,1,30,1,7,1,8,1,17,2,13,2,6,1,8,1,13,1,24,1,7,1,6,1,8,1,7,1,9,1,17,1,11,1,6,1,30,2,6,2,9,1,11,2,10,1,9,1,13,1,9,3,13,1,24,1,10,1,15,1,10,1,9,2,12,1,10,1,11,1,15,1,13,1,28,22,30,1,28,1,13,2,7,1,9,2,17,3,9,1,13,1,6,2,7,1,28,2,8,1,17,4,11,1,9,1,8,1,6,2,13,1,7,1,8,2,11,1,17,3,11,1,10,1,6,1,30,2,28,1,30,1,28,2,30,1,28,4,30,1,28,1,6,1,10,1,12,3,11,2,9,1,11,1,9,2,12,1,9,2,17,1,16,1,9,5,11,2,9,1,16,1,11,3,9,1,8,1,9,2,8,1,9,1,8,2,9,1,11,1,10,1,11,2,17,2,16,1,9,1,11,1,8,1,11,1,16,1,13,2,30,1,6,2,29,1,26,1,29,1,26,2,25,1,27,1,26,1,25,1,8,1,24,2,25,1,8,1,24,1,8,1,24,2,9,1,10,2,12,2,17,2,12,1,17,8,10,1,17,9,12,1,10,1,28,8,29,2,6,1,30,1,6,2,8,1,24,1,8,3,13,1,24,1,8,1,9,1,8,2,24,1,13,1,24,2,8,1,13,3,8,1,9,1,13,1,8,1,24,1,7,3,13,2,7,1,13,1,24,1,8,2,7,1,8,1,6,1,7,1,13,1,29,2,6,1,7,2,29,1,6,1,28,1,6,6,29,1,7,1,30,1,6,1,7,1,29,1,28,1,6,1,30,1,6,2,30,1,6,1,13,1,24,1,8,1,24,1,8,1,7,2,6,3,29,1,13,1,30,2,28,81,30,1,28,6,27,1,26,1,8,1,25,2,8,1,24,1,12,1,24,2,12,1,8,1,24,1,10,2,17,1,12,2,9,1,17,2,9,1,12,2,9,1,12,1,17,1,10,1,12,2,17,1,12,1,17,1,10,1,12,1,17,1,24,1,12,1,9,1,24,1,17,2,12,1,17,3,10,1,17,1,11,1,17,1,9,1,17,2,12,1,17,2,12,1,17,3,12,1,17,4,16,1,17,4,16,1,17,1,16,2,17,1,16,1,17,6,16,4,17,1,16,4,11,1,16,6,11,1,16,5,17,1,16,15,11,1,16,3,11,1,16,5,17,1,16,2,17,2,16,1,28,31,24,1,28,17,30,1,28,14,30,1,28,3,30,1,6,1,30,1,28,2,29,2,28,3,29,1,6,1,25,1,6,1,26,1,25,1,8,1,13,1,8,2,10,2,17,3,9,1,28,1,30,1,28,80,6,1,29,1,28,1,13,1,8,1,24,1,7,1,8,1,13,1,9,1,24,1,9,1,8,1,24,1,10,1,11,1,10,1,12,1,24,1,8,1,9,1,16,1,11,1,17,1,16,1,13,4,6,1,13,6,6,1,9,1,13,2,6,1,13,1,6,1,13,1,6,2,13,1,28,1,13,1,28,1,13,1,30,1,13,1,6,1,13,1,6,1,13,2,9,1,13,2,6,1,13,1,6,2,30,1,13,1,6,2,30,1,6,1,13,1,6,1,30,4,6,1,13,1,30,1,13,1,6,1,28,1,6,2,30,1,13,3,6,1,29,1,30,1,6,2,13,1,6,1,13,4,28,1,6,1,30,1,13,1,29,1,6,1,13,1,6,1,29,1,30,1,13,1,6,1,13,1,6,1,13,1,29,1,13,1,7,1,13,1,6,1,13,1,9,1,6,1,13,2,6,1,13,4,9,1,13,1,9,1,13,2,9,2,28,1,9,2,8,1,9,1,8,1,13,4,8,1,13,3,9,2,13,1,28,1,33,1,5,1,33,79,5,304,16,1,11,1,17,10,12,3,10,1,9,1,13,2,6,1,13,1,7,1,13,2,8,2,10,4,11,1,10,1,12,2,17,2,9,3,13,2,8,1,13,1,24,1,9,1,10,2,17,2,16,1,5,15,13,1,9,2,17,11,12,1,10,1,17,1,12,1,10,1,12,1,11,1,9,1,12,2,17,1,24,1,12,1,10,1,12,1,24,1,9,3,8,1,9,1,8,1,7,1,13,1,7,1,13,1,7,1,13,1,9,1,10,1,12,2,10,1,17,3,12,4,24,1,10,1,17,2,9,2,12,1,17,3,12,1,11,1,12,3,11,2,17,1,12,1,11,1,12,1,10,1,17,1,12,1,17,7,11,1,12,2,17,1,11,2,17,1,11,1,17,2,11,1,12,1,11,1,10,1,17,1,12,1,17,1,9,1,7,1,6,1,9,1,13,1,7,1,8,1,13,1,8,2,9,1,10,1,9,1,8,1,11,1,9,2,16,2,9,1,10,1,9,4,10,1,8,1,13,1,9,1,8,2,13,1,9,1,13,1,8,1,13,2,9,1,8,1,9,1,13,3,9,1,13,5,9,2,13,2,8,1,13,1,9,4,8,1,9,1,8,1,9,2,11,2,9,2,11,1,16,2,11,3,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,2,16,5,13,1,6,2,13,2,9,1,16,3,11,1,13,1,6,1,30,1,13,1,6,4,13,1,6,2,13,1,30,1,6,2,13,1,16,1,17,1,16,2,17,6,16,1,9,2,7,1,13,2,6,1,13,1,8,1,7,1,8,1,9,1,10,1,9,1,24,1,8,1,24,1,8,1,9,2,24,1,17,1,8,1,24,2,9,2,12,1,13,1,24,1,10,1,9,1,10,1,24,1,10,1,24,1,12,1,8,1,13,1,24,1,13,1,7,1,8,1,7,2,13,1,7,1,24,1,9,1,8,1,12,1,17,1,10,1,11,1,9,1,10,1,12,1,9,2,8,1,9,1,8,1,9,2,8,1,9,1,24,1,9,1,7,1,24,2,8,1,24,1,8,2,7,1,8,1,24,1,13,3,24,2,9,1,11,1,9,3,11,1,12,1,11,1,13,1,10,1,13,1,9,1,24,2,8,2,17,1,8,1,9,1,24,1,13,1,12,1,9,1,24,1,12,1,9,1,24,1,8,1,10,2,17,1,24,3,9,2,11,1,24,1,12,1,11,1,10,2,9,3,13,1,24,1,13,3,8,2,7,1,24,1,13,1,24,1,6,1,24,1,13,1,8,1,10,1,12,1,24,1,9,1,11,1,12,1,17,1,9,1,17,2,11,3,9,3,17,1,9,1,17,1,10,1,11,1,17,1,16,1,17,1,16,3,17,3,11,1,17,1,11,1,16,2,17,2,16,1,17,4,11,1,17,2,16,1,17,4,16,2,17,1,11,1,16,1,17,16,12,1,17,4,11,1,17,1,11,1,17,1,11,1,17,1,9,1,12,2,9,1,24,1,9,1,10,1,6,1,8,2,7,1,6,1,24,1,25,1,8,1,24,1,8,1,24,1,25,1,24,4,8,1,17,3,10,1,17,1,12,1,24,1,10,2,11,1,12,3,10,1,17,1,11,1,17,1,12,2,9,1,11,2,24,1,9,2,10,1,9,1,12,1,10,2,12,2,10,1,24,1,11,1,8,1,6,1,8,2,13,1,9,1,13,1,8,1,9,1,11,1,10,1,9,1,11,1,9,1,10,1,16,1,11,2,17,1,11,1,16,1,11,1,16,1,11,3,10,1,11,1,16,1,10,1,16,5,10,1,9,1,16,1,11,5,9,5,13,1,9,2,13,1,9,1,13,1,9,2,13,1,9,2,11,1,8,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,3,11,2,10,1,11,1,16,1,9,1,11,1,9,1,11,3,16,1,11,2,16,5,11,1,16,5,17,1,16,1,17,1,16,4,17,1,16,1,17,1,16,1,17,44,11,1,10,1,17,25,12,1,9,1,11,1,17,29,12,2,17,2,11,1,17,7,11,1,17,1,16,1,17,2,11,1,17,3,12,1,9,1,17,5,9,1,17,1,10,1,12,1,11,1,12,1,11,1,17,2,12,1,17,37,9,3,16,2,17,2,11,1,17,15,12,1,10,1,9,1,16,1,9,1,11,1,9,1,11,1,10,1,9,4,11,1,9,6,13,1,9,1,8,1,13,1,8,1,13,1,24,1,13,1,9,1,24,1,9,1,8,1,13,1,8,1,13,2,6,2,7,1,6,1,30,5,28,10,6,1,30,1,28,2,6,1,13,2,12,1,9,1,10,1,13,1,6,1,28,10,30,1,6,1,13,1,8,1,29,1,28,2,30,1,13,1,28,4,6,1,13,1,5,29,28,2,30,1,28,1,29,1,28,7,30,1,15,2,10,1,8,4,6,2,13,1,6,2,13,1,9,1,15,1,16,1,12,1,13,1,28,6,8,1,9,1,6,1,28,21,30,1,28,9,9,1,14,1,17,1,10,1,24,1,6,1,8,1,12,2,9,1,8,1,30,2,}, {12,1,8,1,6,1,7,1,29,1,6,1,9,1,17,1,7,1,28,4,30,1,28,3,29,1,28,27,30,1,28,2,13,1,6,1,10,1,13,1,11,1,12,2,24,1,8,1,6,1,29,1,28,1,6,1,30,1,11,1,17,1,14,1,13,1,7,2,13,1,8,1,24,1,8,1,13,2,6,1,9,1,17,1,10,1,7,1,6,1,30,1,6,1,7,1,8,1,12,1,11,1,9,2,24,1,8,1,24,1,9,1,8,1,9,1,12,1,16,1,15,1,24,1,11,1,12,1,9,1,10,1,12,1,13,1,28,1,30,1,28,21,30,1,29,1,7,1,13,1,8,1,11,1,17,2,12,1,13,1,6,1,13,1,7,1,30,1,6,2,8,1,12,1,17,3,12,1,9,2,13,1,7,1,13,1,7,1,13,1,8,1,10,1,17,4,24,1,29,1,30,2,28,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,29,1,8,1,16,1,12,1,9,1,17,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,8,1,9,2,8,1,9,2,16,1,9,1,11,1,17,1,9,1,13,1,9,1,11,1,8,1,11,1,9,1,10,1,9,3,10,1,9,2,11,4,9,1,13,1,11,1,9,1,11,1,17,1,8,1,13,1,30,1,6,1,7,1,29,1,25,2,27,1,29,1,25,1,8,3,10,1,24,1,6,1,8,3,24,3,9,1,10,1,12,1,24,1,12,1,17,1,12,1,17,1,12,1,17,6,12,1,17,5,12,1,17,5,12,1,30,1,28,8,30,2,6,1,29,2,6,1,7,1,13,3,8,2,13,1,8,1,24,1,8,1,9,1,24,1,8,1,13,1,8,1,24,4,13,1,8,1,13,1,8,1,24,1,7,1,24,1,6,1,13,1,7,1,6,1,13,1,29,1,30,1,6,2,29,3,28,1,6,2,29,1,6,1,29,2,7,1,29,2,30,1,29,1,28,1,6,1,28,1,29,2,6,2,7,1,30,1,13,1,28,1,6,1,13,1,30,1,29,1,7,1,13,3,6,1,29,1,6,2,30,2,28,81,30,1,28,4,30,1,28,5,29,1,28,1,24,1,6,1,24,1,6,2,9,1,24,1,17,2,12,1,17,1,9,1,12,1,17,1,10,1,12,1,17,2,24,1,17,1,12,2,24,1,17,1,12,1,24,1,9,1,17,1,12,1,10,1,17,2,11,1,12,1,10,1,12,1,24,1,10,1,17,2,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,3,11,1,17,4,10,1,17,1,9,1,17,3,11,2,17,3,16,7,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,3,11,1,17,2,16,2,17,2,16,2,9,1,16,1,17,1,16,11,11,2,16,8,11,1,16,1,11,2,16,3,11,1,16,2,17,3,9,1,28,30,6,1,24,1,28,29,30,1,28,5,30,2,28,2,30,1,28,2,30,2,29,2,28,2,29,1,6,1,25,1,6,1,8,2,6,1,8,1,12,1,11,1,12,1,17,2,6,1,28,52,30,1,28,29,6,2,30,2,8,1,7,2,13,2,8,2,24,3,9,1,12,1,10,2,12,1,17,1,9,1,17,1,16,1,17,1,11,1,13,1,29,1,13,1,6,2,13,2,8,1,13,2,9,1,13,2,6,1,13,1,6,1,13,1,30,1,13,2,6,1,13,2,9,1,6,1,13,1,6,1,13,5,9,3,13,1,6,1,9,1,13,1,9,1,6,1,13,1,30,1,13,1,30,1,13,1,6,3,30,1,13,1,6,1,13,2,8,1,9,1,6,1,28,1,13,1,30,1,6,1,28,1,30,1,28,1,6,1,30,2,29,1,6,1,28,3,13,2,6,1,30,3,13,1,28,1,6,1,30,1,6,3,7,1,6,1,13,4,29,1,7,2,29,1,30,1,6,1,13,2,6,1,8,1,6,1,13,1,6,1,8,1,6,2,8,1,13,3,16,1,28,1,9,1,13,2,9,2,7,1,13,3,8,2,6,1,13,3,9,2,13,1,11,1,13,1,5,2,33,77,5,305,16,1,17,8,12,1,17,2,12,1,17,1,11,1,24,1,9,1,8,2,13,3,8,2,13,1,8,1,11,1,9,1,10,1,12,1,9,1,12,1,9,1,12,1,8,1,13,1,9,1,13,1,8,2,9,1,24,1,11,2,16,2,5,17,33,1,13,1,8,1,11,1,17,2,12,1,17,8,10,1,12,1,11,1,10,1,24,1,8,1,12,1,10,1,11,1,12,2,9,2,10,1,9,1,8,1,13,1,8,3,9,1,6,3,7,1,13,1,7,1,9,1,24,1,10,2,12,3,17,2,10,1,17,1,12,1,17,1,12,2,10,1,17,1,10,2,17,1,9,1,12,1,17,2,12,2,11,2,17,2,11,1,17,1,12,1,11,2,12,1,11,1,17,2,12,1,17,3,12,1,11,1,17,1,11,1,17,1,9,1,12,2,17,1,12,1,11,4,17,2,12,1,17,1,13,2,9,1,13,2,9,1,13,2,8,2,9,3,12,1,9,1,11,2,16,1,9,3,10,2,9,4,13,2,9,3,13,2,8,1,13,1,9,2,8,1,9,2,8,1,13,2,8,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,3,11,1,9,1,8,1,9,4,8,1,9,3,8,1,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,6,11,1,16,5,6,1,13,1,28,1,13,2,11,1,17,1,16,2,9,1,13,1,6,1,13,1,6,1,30,1,6,1,28,1,6,1,30,1,6,2,13,1,28,1,6,1,13,1,9,1,17,1,16,2,17,7,9,2,13,3,7,1,8,3,24,1,13,1,24,1,9,2,10,1,24,1,9,1,8,1,24,1,13,1,12,1,9,1,12,1,24,1,8,1,12,3,9,2,24,1,10,1,24,2,8,1,24,1,10,1,24,1,13,2,8,1,13,3,8,2,13,1,9,1,11,1,13,1,24,1,17,1,8,1,9,1,12,1,9,1,8,1,24,1,9,1,24,1,9,2,10,1,8,1,11,1,9,1,10,1,13,1,8,1,24,1,13,1,8,1,24,1,8,1,24,3,8,2,10,1,24,2,12,1,13,1,10,3,17,2,12,1,8,1,9,2,13,1,12,1,8,1,10,1,24,1,10,1,24,1,8,1,24,1,9,1,24,2,9,4,12,1,10,1,13,2,8,1,24,1,8,1,10,1,9,2,24,1,13,1,7,1,9,1,8,1,12,2,8,2,12,1,13,1,24,1,7,1,24,2,8,1,13,1,8,1,24,3,8,1,9,1,8,1,12,1,24,1,12,1,9,1,11,1,10,1,9,2,12,1,10,1,9,1,17,1,11,1,12,1,17,2,9,1,17,1,9,1,17,2,16,1,11,1,17,5,11,1,17,1,11,1,17,5,16,4,11,1,17,4,11,1,17,1,16,1,17,3,11,2,17,2,16,3,17,1,16,1,11,1,17,3,16,1,17,1,16,1,17,1,16,1,17,14,9,1,10,2,11,1,17,1,13,1,10,1,13,1,10,1,29,1,8,2,6,1,13,1,8,3,9,1,8,1,12,1,17,1,9,1,17,1,24,1,17,3,12,2,9,2,12,2,9,1,17,1,16,1,11,1,17,1,10,1,12,1,17,1,9,1,17,1,9,1,17,2,11,1,17,1,9,2,8,1,9,1,24,1,9,1,8,1,24,1,8,1,9,4,11,1,8,1,10,1,11,1,9,2,17,1,9,1,11,5,16,1,9,1,11,2,16,1,11,1,16,6,11,4,17,1,9,1,11,1,9,1,11,3,13,1,9,3,13,1,9,1,8,1,9,5,13,1,9,2,13,1,9,2,8,1,11,2,9,1,8,1,9,1,11,1,10,1,9,4,11,1,8,1,16,1,9,1,16,1,11,5,9,1,16,1,9,1,16,2,11,1,16,1,11,1,16,1,11,1,17,1,16,2,11,1,16,1,17,1,16,1,17,1,16,1,17,1,16,3,17,2,16,1,17,52,12,1,17,19,9,1,12,1,11,1,17,3,12,1,17,7,12,1,17,7,12,1,17,2,12,1,17,1,12,1,17,2,10,1,17,1,9,1,17,1,11,1,17,6,12,1,17,1,12,1,11,1,17,2,16,1,11,1,17,5,12,1,17,2,11,1,17,1,12,2,17,1,12,1,11,1,17,2,11,1,9,1,17,1,12,1,17,1,12,1,17,1,11,1,17,3,11,1,17,54,12,1,10,1,13,1,11,2,9,1,10,1,17,1,11,1,9,1,12,1,13,1,9,1,8,1,9,1,8,1,9,3,11,1,24,1,9,1,13,1,8,1,9,1,13,1,11,1,10,1,13,2,8,1,13,1,7,1,13,1,6,3,29,1,6,2,28,9,30,1,28,5,6,1,30,1,7,1,8,1,7,1,10,1,9,1,12,1,9,1,13,1,30,1,28,11,30,2,6,1,8,1,13,1,6,1,13,1,30,1,28,2,13,1,9,1,5,29,33,1,28,4,30,1,28,8,8,2,9,1,24,1,9,2,8,1,13,1,8,1,13,1,6,1,13,1,9,3,17,1,16,1,13,1,28,6,12,1,9,1,30,1,28,2,30,1,28,28,9,1,14,1,17,1,24,1,8,1,7,1,13,1,17,2,10,1,13,2,7,1,}, {12,1,8,1,6,2,29,2,13,1,17,1,8,1,28,5,30,1,28,1,30,1,6,1,13,1,28,6,30,1,28,11,30,1,28,1,30,1,28,6,30,1,6,1,8,3,9,2,24,1,15,2,7,1,29,1,30,1,13,1,30,1,28,1,9,1,17,2,8,1,9,1,24,1,8,2,7,1,8,1,7,2,30,1,11,1,15,1,11,1,7,1,6,1,28,1,30,1,6,1,24,1,17,1,10,1,16,1,8,2,9,1,8,1,9,1,24,1,8,1,17,2,12,1,11,1,8,1,10,1,9,1,15,1,14,1,6,1,28,23,29,1,6,1,8,2,9,1,24,1,17,2,16,1,6,1,7,1,6,1,13,1,29,1,6,3,17,4,16,1,9,1,8,1,13,1,6,1,13,1,8,1,13,1,8,2,11,1,17,3,10,1,29,1,28,2,30,1,28,2,29,1,28,5,6,1,28,1,6,1,13,1,11,1,17,1,10,1,11,1,10,1,11,1,17,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,8,1,9,1,13,1,9,1,11,1,9,1,11,1,13,1,9,2,8,1,17,1,11,1,13,1,9,2,13,1,8,1,10,1,8,1,9,2,8,2,9,1,13,1,8,1,9,1,11,1,16,1,11,1,17,1,16,1,17,1,8,1,6,2,29,1,6,1,30,1,26,1,27,1,8,1,25,2,27,1,8,1,24,1,6,1,24,2,13,1,24,1,8,1,24,1,9,2,24,1,17,1,10,1,12,1,17,5,12,1,17,5,12,1,17,1,12,2,17,7,10,1,7,1,28,9,29,2,28,1,6,3,7,1,13,1,8,1,13,1,9,1,13,1,24,2,13,1,9,1,8,1,10,1,12,1,8,1,13,1,8,2,9,1,24,1,8,3,6,2,13,1,7,1,8,1,7,1,6,4,7,1,30,1,28,2,30,2,28,1,29,1,7,1,6,1,28,1,30,1,28,2,30,1,28,1,29,1,6,1,28,3,7,1,28,1,30,1,29,1,7,1,29,1,30,1,28,1,30,1,29,2,6,1,13,1,6,1,13,1,29,1,6,2,30,1,28,93,29,2,30,1,24,1,6,1,10,1,8,1,24,3,8,1,12,1,8,1,12,1,10,2,12,4,17,3,12,1,9,1,12,2,17,1,10,1,8,1,11,1,9,1,17,1,10,1,17,1,11,1,17,4,11,1,12,1,10,1,12,1,17,1,12,2,17,4,12,1,17,4,10,1,17,2,10,1,17,1,12,1,16,1,12,1,17,6,16,10,17,3,16,2,17,1,16,1,17,3,16,3,17,4,16,1,17,1,16,2,17,1,16,4,17,1,16,1,17,1,16,4,17,1,16,3,17,1,16,1,17,1,16,8,10,1,16,2,11,1,16,2,17,1,11,1,9,1,6,1,28,28,7,1,28,16,30,1,28,21,30,3,6,1,30,2,28,2,30,1,28,1,7,1,30,1,7,1,29,1,6,1,25,1,8,2,7,1,10,1,12,2,17,3,7,1,28,1,30,1,28,47,30,1,28,32,29,2,6,1,13,1,7,1,8,2,13,1,24,1,8,1,9,2,24,1,12,1,24,1,8,1,24,1,10,1,17,1,11,1,24,1,17,3,9,1,13,2,6,1,29,1,6,1,30,1,6,1,13,7,9,1,13,1,9,1,8,1,13,1,8,1,13,2,9,1,13,2,8,1,13,1,9,1,13,2,9,1,13,2,9,1,13,3,6,1,13,2,6,1,30,1,13,3,6,1,13,4,30,3,6,1,28,1,30,1,6,1,30,1,6,5,28,1,6,1,28,1,30,1,28,2,6,1,28,3,9,1,30,1,6,1,13,1,29,1,13,1,30,1,6,3,30,2,6,1,13,2,6,2,13,2,8,1,30,1,9,1,13,1,30,1,13,1,6,1,7,1,13,3,6,1,13,1,6,1,13,1,6,1,13,2,8,1,6,1,13,1,9,1,13,3,9,1,13,4,8,1,9,1,13,1,9,1,8,1,9,2,13,1,8,1,9,1,13,1,9,1,5,1,33,1,5,1,33,75,5,307,16,1,17,3,11,1,12,1,17,4,12,2,17,1,12,1,11,2,9,2,13,1,8,1,24,1,13,1,7,1,9,1,7,1,9,2,8,1,11,1,24,1,9,1,8,1,13,1,9,1,7,1,13,1,9,1,8,1,10,2,17,1,11,1,5,20,33,1,13,1,9,1,12,1,17,2,12,1,10,1,17,7,11,1,10,1,24,1,8,1,13,1,12,1,24,1,12,1,11,1,12,1,9,1,17,1,10,1,8,2,13,1,24,1,7,1,9,1,6,1,13,3,24,1,13,2,24,3,12,1,24,1,10,2,17,1,12,3,10,1,9,1,12,3,17,4,12,2,17,1,12,1,11,1,12,1,17,2,12,2,11,3,17,1,10,1,11,3,17,4,12,1,17,1,10,1,17,3,9,1,17,2,11,2,12,1,11,2,12,2,17,1,12,1,17,1,9,3,7,1,13,1,8,1,13,2,9,1,13,1,9,1,10,1,9,1,10,1,9,3,11,1,9,4,8,1,9,2,8,1,10,1,9,4,13,1,8,1,13,2,9,2,8,2,10,1,8,1,7,1,9,1,7,1,9,1,8,1,9,1,13,1,9,1,8,2,13,1,9,1,13,3,9,3,8,1,9,2,10,1,9,1,11,1,9,2,10,1,11,3,16,1,11,3,16,1,11,2,16,1,11,1,17,1,11,1,16,9,11,1,16,2,13,3,6,2,13,1,16,1,17,1,16,2,9,1,13,1,30,1,6,1,28,1,6,5,30,1,6,1,13,1,28,1,6,1,9,2,16,3,17,7,9,3,13,4,8,4,10,2,24,1,8,2,13,1,10,1,17,1,9,1,12,1,24,1,10,1,9,2,8,1,9,1,24,2,9,1,10,1,13,1,24,1,7,1,24,1,13,1,9,1,8,2,24,1,6,1,8,3,7,1,13,1,24,2,8,1,10,1,9,1,12,1,17,1,9,1,12,1,10,2,8,1,9,1,8,1,24,1,12,1,24,2,13,1,24,2,8,3,13,1,24,1,8,1,24,1,13,1,6,1,8,1,6,1,24,5,10,1,8,2,11,1,17,1,9,2,24,1,9,1,13,1,9,1,24,1,13,1,8,1,9,1,24,2,8,1,24,2,8,1,13,1,9,1,8,1,10,1,9,1,17,1,12,1,10,1,12,1,10,1,24,1,10,1,24,1,10,2,12,1,17,1,12,2,8,1,24,1,8,2,24,1,6,1,24,1,8,1,13,1,8,3,24,1,13,1,10,1,24,2,9,1,24,1,8,1,12,1,10,1,9,1,10,1,12,1,11,1,9,1,17,2,12,2,11,1,9,1,17,1,10,1,11,1,9,1,17,2,16,1,10,1,12,1,16,1,17,6,11,1,16,1,17,1,16,2,17,3,16,1,17,2,16,1,17,1,10,1,17,1,16,1,17,2,12,2,16,1,17,1,16,1,17,1,16,1,11,1,17,1,16,1,17,2,16,2,17,2,11,1,17,1,11,1,16,1,17,6,16,1,17,6,9,1,12,1,11,1,10,1,11,1,10,1,17,1,10,1,9,1,10,2,8,1,12,1,6,1,24,1,9,1,12,1,10,1,24,1,17,1,12,1,17,1,12,1,17,4,10,1,17,4,12,1,17,4,11,1,9,1,17,1,12,1,11,1,17,1,11,1,17,2,10,1,8,1,10,1,12,1,9,2,8,1,10,1,17,1,10,1,9,2,11,1,10,1,9,1,11,1,9,3,17,1,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,16,1,9,1,11,2,16,1,11,2,9,1,16,3,11,1,16,1,11,1,9,1,11,1,16,5,9,2,11,1,9,2,11,1,9,4,8,1,9,1,8,1,16,1,13,1,9,1,8,1,9,1,8,2,13,1,9,3,8,1,11,1,13,1,11,1,9,1,11,1,9,1,11,1,9,4,10,1,11,3,9,1,11,3,16,1,11,1,9,1,11,2,16,2,11,1,17,1,16,8,17,1,16,2,17,3,16,1,17,2,16,1,17,50,11,1,17,2,11,1,17,3,12,1,17,10,11,1,17,1,11,1,17,9,12,2,17,2,11,1,17,7,12,1,11,1,17,2,10,1,17,4,11,1,17,2,11,1,17,14,11,1,17,1,12,1,17,1,12,2,17,1,9,1,17,2,12,1,11,1,17,4,10,1,12,1,17,2,10,1,12,2,11,1,17,3,11,1,17,3,11,1,17,4,11,1,17,4,16,1,17,42,16,2,17,6,9,2,17,1,9,2,10,1,9,2,13,1,9,2,13,1,8,1,9,1,8,1,9,1,13,3,24,1,8,1,24,1,9,1,13,2,6,2,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,11,30,1,6,2,7,1,6,3,30,1,9,1,24,2,13,1,9,1,6,1,28,10,30,1,28,2,7,1,13,1,9,1,13,3,9,1,5,31,33,1,28,3,30,1,28,8,30,1,9,1,10,1,9,1,24,1,13,1,8,2,13,4,6,1,8,1,9,1,10,1,9,1,17,1,13,1,28,6,24,1,9,1,30,1,28,31,12,1,17,2,9,1,24,1,30,1,13,1,17,1,12,1,24,1,13,1,30,1,28,1,}, {10,1,9,1,13,1,6,1,7,1,29,1,24,1,9,1,13,1,28,7,30,1,28,20,30,1,28,7,6,1,30,1,6,2,29,1,13,1,8,1,10,1,15,1,14,1,10,1,13,1,6,1,29,1,6,1,30,1,6,1,24,1,12,1,17,1,14,1,8,1,9,1,8,1,13,1,8,1,7,1,13,3,24,1,17,2,6,2,29,1,6,2,13,1,17,2,9,1,10,1,9,1,8,1,13,1,10,1,8,1,9,1,10,1,16,1,17,1,9,1,24,1,8,2,12,1,8,2,6,1,28,2,30,1,28,19,30,1,7,1,24,2,9,1,12,1,17,1,16,1,17,1,13,1,7,1,6,6,12,1,17,5,8,1,13,1,24,1,13,4,8,2,11,1,9,1,8,1,13,1,6,1,28,1,6,1,28,1,6,1,28,2,30,1,28,4,30,1,28,2,8,1,11,7,8,1,10,1,11,1,13,2,9,3,11,2,12,1,13,1,9,1,13,1,8,1,11,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,9,3,8,1,13,1,9,1,11,1,10,1,9,3,10,1,9,1,11,1,9,2,12,1,9,1,13,1,6,2,7,1,6,1,25,1,6,1,26,1,25,1,26,1,25,1,24,2,25,1,8,1,25,2,24,1,8,2,24,1,12,1,10,1,12,2,17,17,12,1,17,6,12,1,9,1,29,1,28,6,30,2,28,1,29,1,30,1,29,2,6,1,7,1,6,1,13,1,8,2,13,1,9,1,8,1,24,1,9,1,13,1,12,1,24,1,8,1,24,2,6,1,12,1,6,1,7,1,13,2,6,1,13,1,6,1,28,1,7,1,30,1,28,1,6,1,29,1,6,1,28,1,6,1,29,1,28,1,30,1,28,3,6,1,28,3,29,1,28,5,29,4,30,1,28,1,30,1,6,1,29,1,30,1,6,1,28,1,7,1,6,1,29,1,7,3,28,1,30,1,28,2,30,1,28,88,30,1,28,2,29,1,28,1,29,1,6,1,29,1,8,2,13,1,24,3,17,1,24,1,17,2,12,1,17,1,12,2,9,1,17,3,10,1,12,1,17,1,10,1,9,1,10,1,12,2,17,1,8,1,17,2,12,1,17,1,11,1,17,3,10,1,12,2,17,3,12,1,17,4,11,1,17,7,12,1,17,1,12,1,17,3,16,1,17,7,16,1,17,1,16,7,17,1,16,3,17,2,16,4,17,2,16,2,17,2,16,5,17,1,16,9,11,1,16,7,11,2,16,1,11,1,16,5,11,3,17,2,8,1,30,2,28,27,6,1,29,1,28,37,30,1,29,1,28,2,29,1,28,2,29,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,25,1,8,1,6,1,24,1,6,1,12,1,17,4,10,1,6,1,28,1,30,2,28,77,30,1,13,1,30,1,6,1,30,1,13,1,8,2,10,1,6,1,24,1,9,1,24,1,8,1,9,1,11,1,24,1,12,1,9,1,11,1,12,2,9,2,17,2,16,2,13,2,6,1,9,1,8,1,9,1,13,6,6,1,13,3,9,1,13,1,9,2,13,2,9,1,13,3,9,1,13,2,16,1,9,1,11,1,9,1,11,2,8,1,6,1,13,3,6,2,13,3,6,2,29,1,30,1,13,1,29,1,6,1,28,1,6,1,30,1,6,3,13,1,30,2,6,1,13,1,28,1,6,1,28,1,6,1,28,1,6,1,28,1,6,1,28,1,9,1,13,1,29,1,28,1,13,1,6,1,29,1,30,1,6,1,30,1,13,1,6,1,30,1,6,1,13,2,9,1,6,2,9,1,29,1,30,1,6,2,13,1,30,1,6,1,13,1,9,1,13,1,6,1,13,3,6,1,13,1,6,2,13,1,6,1,13,2,11,1,13,1,9,2,8,1,13,1,9,1,13,5,11,1,8,1,9,1,8,1,9,2,6,1,13,4,5,2,33,73,5,308,11,1,16,1,17,2,12,2,10,1,12,1,17,3,12,1,17,1,12,1,17,1,10,1,17,1,24,1,13,1,11,1,8,2,13,1,8,2,13,1,8,1,24,1,8,2,13,1,12,1,24,2,9,2,11,2,16,1,5,22,13,1,9,1,17,3,12,1,10,1,12,1,17,7,9,1,24,1,8,2,24,1,12,1,24,1,17,2,10,1,9,1,10,1,9,2,8,1,13,1,9,1,7,1,13,2,7,2,6,1,13,1,7,2,8,1,30,1,24,1,10,2,12,2,17,1,10,1,17,2,10,1,12,1,17,2,12,1,17,2,12,1,11,2,12,2,17,1,11,1,12,1,17,2,9,1,17,1,10,2,11,1,9,1,12,1,17,4,11,1,17,1,12,1,17,1,12,1,11,1,12,1,11,2,12,1,11,1,17,1,11,1,12,2,11,2,12,2,17,2,9,2,13,1,8,1,13,1,8,2,13,1,9,1,13,1,10,1,9,1,8,1,9,2,11,3,9,1,11,1,9,1,10,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,11,1,9,2,11,1,9,1,10,1,13,1,9,2,8,1,13,1,9,3,13,1,9,1,13,2,8,1,13,2,8,1,13,3,8,2,13,2,9,1,13,1,10,1,9,3,10,1,9,3,11,6,16,6,17,2,16,2,11,1,16,6,11,1,16,2,17,1,6,1,13,4,9,1,16,3,11,1,13,1,6,1,30,1,6,2,30,1,28,1,30,2,13,3,6,2,13,1,6,1,9,1,16,3,17,7,9,3,13,1,6,1,13,1,8,4,9,1,8,1,9,1,24,1,10,2,9,1,12,1,24,1,12,1,8,2,24,1,8,1,10,1,9,1,12,1,8,1,13,1,8,3,13,1,10,1,13,1,24,1,8,1,7,1,24,1,7,1,13,1,7,1,8,1,6,1,13,1,8,1,24,1,8,2,9,3,11,1,12,1,8,1,24,1,8,1,10,2,24,2,8,1,10,1,24,2,10,1,8,1,24,1,7,1,8,1,7,2,13,1,6,1,24,2,13,2,24,1,8,1,24,1,8,1,24,3,9,1,17,1,13,1,9,1,7,1,10,1,24,1,8,1,24,1,8,2,24,1,8,3,24,1,13,1,24,1,9,1,13,1,9,1,12,1,10,1,9,1,12,1,24,1,17,1,8,1,9,2,24,1,17,1,10,1,9,1,8,1,12,1,8,2,10,1,24,2,8,2,24,2,7,1,10,1,13,2,12,1,7,1,24,1,8,1,9,1,8,1,17,1,12,1,10,1,9,1,10,1,11,1,24,2,10,1,9,2,11,2,17,1,10,1,17,1,9,1,11,1,17,1,11,1,9,1,12,1,16,1,17,6,11,1,17,1,11,1,17,3,16,1,17,2,11,1,17,2,16,2,17,1,11,1,16,2,12,1,17,2,11,1,17,2,16,2,11,1,17,1,16,1,11,1,16,1,17,4,16,2,17,5,16,1,17,2,16,1,11,1,17,3,12,1,17,2,10,1,9,1,12,1,10,1,17,1,9,1,10,1,11,1,24,1,9,1,10,1,12,1,24,1,12,1,17,1,9,1,17,1,9,1,10,1,12,1,17,1,12,1,17,2,10,1,17,2,12,2,17,1,9,1,17,3,12,1,9,1,17,2,16,1,17,2,9,1,17,1,8,1,13,1,11,1,8,1,10,1,8,1,9,2,8,1,9,1,8,1,9,1,10,1,9,3,10,1,8,1,11,4,9,1,11,1,10,1,11,1,9,3,11,1,9,1,16,2,11,4,16,1,11,3,16,3,11,1,16,1,11,2,16,2,11,2,9,2,11,1,9,1,10,2,9,4,8,1,9,1,11,1,9,1,13,1,11,1,9,5,8,1,9,3,8,1,9,2,13,1,9,3,10,1,9,1,11,1,9,1,11,8,9,1,11,1,16,1,11,1,16,4,17,1,16,1,17,1,16,9,17,1,16,1,17,62,11,1,17,1,12,1,17,7,16,1,17,1,11,1,17,1,11,1,10,1,17,6,11,1,17,3,11,3,17,1,11,2,17,1,11,1,17,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,11,1,17,1,12,1,11,3,17,7,11,1,17,2,11,1,17,2,11,2,17,2,11,1,17,2,11,2,17,1,12,1,11,1,17,1,11,3,17,1,10,2,17,2,12,1,17,4,11,1,17,4,12,1,17,1,10,1,17,12,11,1,17,7,12,1,17,42,11,2,9,5,13,1,9,2,13,1,8,2,13,1,8,1,13,1,7,1,8,1,6,1,7,1,8,1,30,2,6,1,28,2,29,1,28,3,30,1,28,10,30,1,29,1,6,3,28,1,30,1,28,1,13,1,6,1,9,1,13,1,8,3,30,1,28,12,30,1,13,1,11,1,13,1,5,33,13,1,28,10,29,1,28,1,30,1,9,1,10,1,9,2,10,1,8,2,13,1,6,1,7,2,8,1,24,1,8,1,9,1,16,1,17,1,13,1,28,5,6,1,9,1,8,1,30,1,28,31,17,2,9,1,24,1,10,1,7,1,9,1,17,1,10,2,6,1,30,1,28,1,}, {14,1,8,1,6,2,7,1,28,1,8,1,15,1,8,1,28,4,30,1,28,3,29,1,28,7,30,1,28,7,30,1,28,2,30,1,28,7,30,2,28,1,30,1,7,1,24,1,12,1,17,1,12,1,15,1,17,1,15,1,13,1,6,1,30,1,29,1,30,1,28,1,12,2,17,1,10,1,8,1,13,1,8,3,6,1,13,1,8,1,29,1,17,1,15,2,8,1,13,1,30,1,13,1,29,1,8,1,17,4,11,1,10,1,9,3,13,1,12,1,17,1,12,1,11,1,13,1,6,2,24,1,9,1,8,1,7,1,28,1,30,1,28,16,30,1,28,3,29,1,6,1,8,1,24,1,9,2,17,2,16,1,8,1,13,1,30,1,6,1,7,1,30,1,6,1,8,1,12,1,17,3,16,1,9,1,8,3,6,1,9,1,13,1,9,1,13,1,24,1,9,1,12,1,9,1,10,1,7,1,29,1,28,1,29,1,28,1,30,1,28,1,30,1,28,3,30,1,29,1,28,2,13,1,17,1,11,1,17,1,11,2,12,1,11,1,10,1,9,2,10,1,9,3,11,1,9,2,17,1,13,1,11,1,9,1,13,1,11,1,13,1,8,1,9,1,13,1,9,1,13,3,8,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,13,1,9,1,11,1,10,1,13,1,10,1,16,1,10,1,24,1,13,1,24,1,13,1,7,1,29,1,6,2,25,1,26,1,25,1,24,1,8,1,26,1,8,3,24,1,8,2,12,1,8,1,24,1,12,3,17,1,12,2,17,6,12,1,17,3,12,1,17,2,12,1,17,6,11,1,9,1,30,1,28,7,29,1,30,2,6,1,29,1,30,1,29,1,30,1,29,1,13,2,6,1,7,2,8,1,24,1,8,2,24,1,9,1,24,1,8,1,10,1,6,1,8,1,7,1,6,2,8,1,30,1,6,1,7,1,30,2,13,1,28,1,6,1,30,1,6,2,29,1,28,1,6,1,30,1,28,1,29,2,30,2,28,4,30,1,29,1,28,4,6,1,28,1,29,1,30,1,28,2,30,1,28,1,30,1,6,1,13,1,28,1,7,2,28,1,30,1,28,1,30,2,28,93,29,1,30,1,29,1,25,2,29,1,24,1,7,1,24,1,8,3,10,1,24,2,10,1,12,1,17,2,12,2,10,1,12,1,17,1,9,1,17,1,12,1,9,1,12,1,17,2,12,2,10,1,12,3,11,1,17,2,9,1,17,3,10,1,17,1,11,1,17,6,12,1,11,1,9,1,17,1,12,2,17,2,10,1,12,1,17,2,12,3,17,6,16,2,17,3,16,4,17,1,16,1,17,2,16,2,17,1,16,2,17,1,16,3,17,3,16,1,17,1,16,1,17,1,16,3,17,1,16,2,17,1,11,1,16,15,11,1,16,1,11,1,16,1,11,1,16,1,11,1,17,2,13,1,30,1,28,28,30,1,13,1,28,8,30,1,28,6,30,1,28,18,30,1,28,1,30,1,28,1,29,1,28,1,30,1,29,1,30,1,28,2,30,1,29,1,28,1,29,1,30,1,7,1,28,1,8,1,25,2,8,3,9,1,12,1,17,3,13,1,28,1,30,1,28,1,30,1,28,39,30,1,28,5,30,1,28,31,6,1,29,3,6,1,13,1,24,1,7,1,12,1,8,3,9,1,10,1,24,1,9,2,12,1,24,1,9,1,11,1,9,2,11,1,17,2,10,2,9,4,13,2,9,1,6,1,13,4,6,1,13,2,9,3,13,1,9,1,13,2,9,2,17,1,9,6,11,2,9,1,8,1,13,1,9,1,13,1,6,1,13,3,8,1,13,3,8,1,13,1,30,1,13,3,9,1,13,1,30,1,28,1,6,1,30,1,6,1,28,1,6,1,28,1,13,1,28,1,13,1,6,1,28,1,6,1,30,1,28,1,13,1,28,1,6,1,13,1,28,1,6,1,13,1,6,1,29,1,6,3,13,1,28,1,13,2,30,1,6,2,13,1,6,3,13,2,6,3,13,7,6,1,13,1,6,1,13,3,6,1,13,2,6,1,10,1,9,1,13,1,9,1,8,1,9,2,13,3,9,1,13,3,9,1,13,1,8,2,9,1,30,1,9,1,7,1,13,1,30,1,33,1,5,1,33,72,5,309,11,3,17,3,12,2,17,8,12,2,24,1,10,1,9,1,10,1,24,1,13,1,7,1,9,1,24,1,9,1,8,1,9,1,10,1,11,4,5,25,11,1,17,1,12,1,17,3,10,2,12,1,17,5,10,1,13,1,10,1,8,2,24,1,13,1,10,1,12,2,9,1,12,2,8,1,9,1,7,1,13,1,8,2,6,1,13,1,8,2,6,1,7,1,13,1,8,1,7,1,9,3,17,2,12,8,9,1,10,1,17,2,12,4,17,1,12,1,11,1,17,1,9,1,11,1,10,1,11,1,10,2,12,2,17,1,12,1,17,1,10,1,9,1,17,1,12,1,10,1,11,2,12,2,11,1,17,1,10,1,11,2,12,2,17,1,10,1,12,1,9,1,12,1,10,1,11,1,12,1,8,1,13,2,8,1,13,1,9,2,8,3,9,2,16,1,9,1,11,2,9,2,11,1,8,1,9,2,10,1,9,1,11,1,9,2,13,1,9,1,10,1,9,1,8,1,10,1,11,1,9,2,8,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,8,4,9,1,6,1,13,2,8,1,13,1,8,2,9,2,13,1,9,1,13,1,8,1,11,1,9,2,11,1,9,2,10,1,9,1,11,1,16,3,11,1,16,7,11,1,16,1,11,1,16,4,11,1,16,2,17,1,9,1,6,1,13,1,30,1,13,2,16,4,13,1,9,1,30,1,6,1,30,1,6,2,28,1,6,2,13,4,6,1,13,2,16,1,17,1,11,1,16,1,17,1,16,1,17,5,13,1,9,1,13,2,7,1,8,1,13,1,24,1,8,1,13,2,9,2,12,1,9,1,12,1,13,1,10,1,13,2,8,1,24,2,10,1,24,4,13,1,24,3,7,1,13,2,8,1,24,1,7,1,24,1,8,1,24,1,8,1,24,1,13,1,24,1,13,1,24,2,8,1,17,1,9,2,12,1,9,1,24,1,10,1,13,1,8,1,10,1,8,1,24,1,9,1,12,1,8,1,24,1,8,2,24,2,8,3,6,2,29,1,13,1,24,1,8,1,12,1,8,1,12,1,24,1,13,1,8,2,17,1,9,1,24,1,13,1,8,2,9,1,13,1,15,1,13,2,24,2,10,1,24,1,7,1,9,1,24,1,13,1,9,1,12,3,24,1,9,2,8,1,17,1,12,1,10,1,24,1,8,1,9,3,12,1,24,1,8,1,12,1,8,1,13,1,10,1,8,1,13,1,8,1,7,1,8,2,24,1,8,1,10,1,8,2,24,2,10,1,24,1,12,1,9,1,12,2,11,1,17,1,12,1,9,1,17,1,11,1,17,1,12,1,11,1,9,2,10,1,9,1,12,2,11,1,16,2,17,4,10,1,11,1,17,1,9,1,16,1,11,2,16,1,17,2,11,1,16,1,17,1,11,2,17,1,10,1,16,1,17,1,11,1,16,1,17,1,9,1,16,2,17,2,16,1,17,2,16,1,17,1,16,2,17,2,11,2,17,1,16,1,17,10,12,1,17,1,9,1,17,3,11,2,10,1,12,1,10,1,11,1,12,2,17,1,24,2,10,1,17,1,10,1,12,2,11,1,12,1,17,1,10,1,11,1,17,1,12,1,17,2,9,1,17,1,11,1,9,1,7,1,9,3,8,1,9,1,8,2,9,2,8,1,12,1,11,1,9,2,12,1,9,1,10,1,9,1,8,1,9,1,16,1,9,2,10,1,8,1,9,2,11,1,10,1,9,2,16,1,11,1,16,1,9,1,10,1,9,1,11,1,9,1,17,1,9,3,11,1,10,1,9,1,11,1,16,4,11,1,16,3,11,1,16,4,11,1,16,1,9,1,11,1,9,2,11,3,9,2,8,2,13,1,8,3,9,1,8,1,13,1,8,2,9,2,12,1,9,2,8,1,13,1,9,1,13,1,9,1,11,2,9,1,13,1,9,2,11,1,10,1,9,1,16,1,11,3,16,2,11,1,16,2,17,1,16,1,11,1,16,12,17,2,16,3,17,1,16,1,17,1,16,1,17,60,11,1,17,1,12,1,17,5,11,1,17,2,11,1,17,8,11,1,17,4,12,1,11,2,17,2,9,1,17,7,11,1,17,9,9,1,17,1,11,2,17,1,16,1,17,8,11,2,17,1,12,2,17,1,12,2,17,3,11,1,12,1,17,2,11,1,12,1,17,2,12,1,17,2,11,1,17,2,11,1,17,2,11,1,17,1,11,2,17,4,11,1,17,10,12,1,11,1,17,2,16,1,17,34,16,1,17,6,11,1,9,1,11,1,13,1,8,1,9,1,8,3,13,2,9,1,8,1,13,2,6,1,13,1,6,1,13,1,29,1,13,1,6,2,28,2,30,1,28,1,30,1,28,9,30,1,28,1,30,1,6,1,7,2,13,1,6,1,28,4,30,1,28,1,13,1,8,1,9,2,8,1,29,1,28,12,13,1,9,1,5,34,13,1,28,12,13,1,14,1,12,1,10,1,17,1,13,1,24,1,13,3,7,1,13,1,7,1,12,1,9,1,17,1,12,1,10,1,7,1,28,5,29,1,17,1,10,1,28,2,30,1,28,28,30,1,14,2,11,1,8,2,6,1,17,2,10,1,8,1,6,2,28,1,}, {16,1,9,1,6,2,30,1,7,1,24,1,12,1,24,1,30,1,28,8,6,1,28,6,30,1,28,7,30,1,28,10,30,1,28,1,6,1,28,1,6,1,8,1,24,1,8,1,12,1,15,1,11,1,15,1,13,1,7,1,30,1,6,1,28,2,8,1,17,2,8,1,24,1,9,1,13,1,8,1,24,1,8,1,6,1,7,1,29,1,9,1,11,1,12,1,8,1,13,1,29,1,13,1,6,1,13,1,17,3,16,1,9,1,24,1,9,2,13,1,9,1,17,2,12,1,9,1,8,2,24,1,9,1,15,1,8,1,30,3,13,1,28,19,30,1,29,1,6,1,9,2,11,1,17,2,16,1,13,1,8,1,29,1,30,1,6,3,13,1,11,1,17,4,12,1,13,1,8,2,13,1,8,1,13,2,9,1,13,1,12,1,9,1,12,1,10,1,7,1,28,1,29,1,28,1,29,2,30,1,28,1,30,1,28,3,30,1,28,2,7,1,16,1,9,2,11,4,9,2,10,1,9,3,11,1,10,1,9,1,13,1,9,1,11,1,16,1,11,1,9,2,8,1,9,2,13,1,9,1,13,1,6,1,8,3,9,1,6,1,9,1,13,2,9,3,8,2,9,1,8,1,16,1,9,2,24,1,13,2,29,1,8,1,7,1,8,1,6,1,24,1,26,1,25,1,6,1,8,1,6,1,24,1,25,1,8,1,13,1,24,1,8,1,24,3,12,2,10,1,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,4,12,1,11,1,17,8,12,1,11,1,24,1,28,8,30,1,28,1,29,2,30,1,6,3,29,1,7,2,8,1,29,1,8,1,29,1,8,2,13,1,24,2,7,1,8,2,13,3,30,1,7,1,30,2,6,2,30,2,29,1,28,1,30,1,28,5,30,1,28,15,30,1,28,5,30,2,28,2,13,1,28,1,29,1,28,2,29,1,28,94,30,1,28,5,27,1,25,2,8,1,24,1,13,1,24,1,17,1,24,1,12,1,24,1,17,1,10,1,17,1,10,1,12,1,17,1,24,1,17,2,10,1,17,1,12,1,17,1,10,1,17,1,12,2,17,1,12,1,9,1,11,2,17,3,11,1,12,2,17,14,16,1,17,1,12,1,17,1,11,1,17,6,12,1,9,1,17,6,16,4,17,4,16,1,17,1,16,1,17,2,16,2,17,1,16,2,17,2,16,2,17,1,16,1,17,2,16,5,17,1,16,12,11,1,16,5,11,2,16,2,11,1,16,2,17,2,13,1,28,28,30,1,28,34,30,1,28,5,30,1,29,1,30,1,28,1,30,1,28,4,6,1,30,1,6,1,28,1,30,1,25,1,8,1,6,1,24,1,8,1,24,1,10,1,17,4,30,1,28,1,29,1,28,41,30,1,28,5,30,1,28,1,29,1,28,2,6,1,28,26,30,1,6,3,13,1,6,1,12,1,24,1,8,1,9,1,24,1,12,2,9,1,12,1,9,1,11,1,9,1,10,1,24,1,12,1,24,1,10,2,11,2,9,1,11,1,13,1,9,2,13,1,9,2,13,1,9,1,8,1,13,1,9,1,8,1,6,1,13,2,8,1,13,3,9,1,13,3,9,2,13,1,9,7,16,1,8,1,16,1,13,1,8,1,13,3,30,1,6,1,13,1,6,1,30,1,13,2,6,1,30,2,29,1,28,1,30,2,6,1,13,1,28,2,6,1,28,2,6,1,28,1,6,1,30,1,13,1,6,1,29,1,13,1,6,1,28,1,13,2,28,1,9,1,28,1,6,1,30,3,28,1,30,1,13,1,28,1,6,3,13,1,6,1,28,1,13,1,29,1,6,2,8,1,6,1,13,2,29,1,6,1,28,1,30,1,13,1,6,2,30,1,13,2,9,1,13,2,28,1,13,2,9,1,13,1,11,1,13,2,10,1,8,2,13,2,6,1,13,2,30,1,9,1,8,1,9,1,8,1,13,1,9,3,8,1,13,1,30,1,6,1,33,1,5,1,33,71,5,311,16,1,11,1,9,1,11,2,9,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,1,10,1,17,1,11,1,10,3,11,1,13,1,10,1,12,1,11,3,16,2,5,28,9,1,12,3,17,2,10,1,17,1,12,1,17,3,12,1,17,2,8,2,6,1,9,1,10,1,13,1,8,1,9,3,12,1,8,1,9,1,7,2,13,1,8,1,13,1,8,1,7,2,8,1,6,1,13,1,6,1,13,2,8,1,10,1,12,1,11,1,10,1,17,1,12,2,17,3,12,1,17,1,12,2,17,2,12,2,10,1,11,1,17,1,12,1,9,1,10,1,11,1,10,1,12,2,9,1,11,1,12,1,17,2,12,1,17,1,9,1,11,1,12,1,17,1,12,1,11,1,12,3,17,2,9,1,11,1,12,1,10,1,12,1,10,1,12,2,17,1,24,1,12,1,17,1,9,2,8,5,9,3,10,1,9,2,11,2,9,4,13,1,9,3,8,1,11,1,9,2,10,1,9,4,13,1,11,1,9,2,11,1,9,1,11,1,13,1,9,1,8,1,13,1,8,1,13,2,9,1,13,2,8,1,13,1,8,1,13,1,9,2,8,1,13,1,9,1,8,1,9,1,8,1,9,3,11,1,9,3,10,1,9,3,11,3,16,3,17,1,16,2,17,1,16,1,11,2,16,8,8,1,13,4,30,1,9,1,16,2,17,1,14,1,16,1,13,1,6,1,28,1,30,3,6,1,28,1,6,3,13,1,6,2,13,1,9,1,16,4,17,7,16,1,13,5,24,1,13,1,24,1,8,1,12,1,24,1,12,1,8,1,12,1,8,1,24,2,8,1,9,1,10,1,7,1,24,2,10,1,8,2,10,1,7,1,6,1,8,1,7,1,8,1,13,1,8,1,6,1,7,1,8,1,6,1,24,1,7,1,24,2,7,1,13,1,29,1,9,1,24,2,9,1,12,1,11,1,12,1,9,1,8,2,9,1,24,1,8,2,12,1,24,2,9,1,24,1,7,1,24,1,13,1,8,1,13,2,8,2,24,1,6,1,24,1,13,1,10,1,8,2,24,1,8,1,24,1,13,1,17,1,9,1,7,1,24,1,7,1,24,2,29,1,8,1,9,1,8,1,24,2,8,1,24,2,9,1,13,1,8,1,24,2,8,1,24,2,9,1,12,1,9,1,12,1,8,1,9,2,8,1,12,1,24,1,12,1,13,1,24,1,8,1,13,1,10,1,8,4,24,1,8,1,24,1,8,1,24,1,8,1,24,1,9,1,8,1,9,1,17,1,9,1,8,1,11,1,17,1,11,1,9,1,12,1,9,1,11,1,9,1,12,1,9,1,11,1,17,1,11,1,9,1,16,1,17,1,11,4,16,1,17,4,11,1,17,9,12,1,17,2,16,2,9,1,17,1,16,1,10,1,11,1,17,1,16,1,11,2,16,1,17,1,16,1,11,1,16,1,17,3,11,1,16,1,17,2,16,2,17,3,16,1,17,3,16,1,17,2,11,1,17,4,10,2,9,1,17,1,10,1,9,1,10,1,17,1,9,1,10,3,17,1,24,1,9,2,12,1,9,1,11,1,10,2,24,1,11,1,10,1,17,2,10,1,12,1,13,1,9,2,13,1,9,1,8,1,13,1,9,2,10,1,9,2,8,2,9,2,8,1,9,2,11,1,9,1,8,1,9,1,11,1,9,2,8,1,11,1,9,1,11,1,8,1,10,1,9,2,11,1,9,2,10,1,9,1,11,2,9,1,11,1,9,3,8,1,11,1,16,1,11,1,9,1,11,1,16,1,11,5,16,1,17,1,11,1,9,1,16,2,11,1,16,1,11,1,16,1,9,1,11,1,10,1,9,4,13,1,8,1,10,1,9,1,13,1,9,2,13,1,10,1,7,1,10,1,9,1,13,1,9,2,8,2,13,1,8,1,13,1,9,5,16,1,9,2,11,1,9,1,11,1,9,3,11,3,9,1,11,2,16,1,17,1,11,2,16,1,17,1,16,8,17,2,16,5,17,1,16,1,17,57,11,1,17,6,12,1,17,3,11,1,9,1,11,2,9,1,17,9,11,1,17,3,12,1,17,2,16,1,17,1,11,1,17,1,16,1,11,2,17,1,11,1,9,1,12,1,17,2,12,2,17,4,11,1,17,1,9,2,17,2,12,1,11,1,17,2,11,1,17,2,11,1,17,1,9,1,17,1,12,1,17,2,11,1,9,1,11,1,17,1,12,1,17,1,12,1,17,2,11,2,17,5,12,1,17,2,11,1,12,1,17,2,12,2,17,6,12,1,17,8,12,2,17,45,16,2,17,1,16,1,10,1,13,3,9,1,13,1,8,1,7,1,9,1,13,4,6,1,13,2,6,1,13,2,28,1,29,1,30,1,28,2,30,1,29,1,28,11,30,1,6,1,29,1,30,1,13,1,8,1,28,6,30,1,6,1,8,1,9,1,11,1,9,1,13,1,28,10,30,1,28,1,5,35,6,1,28,11,30,1,13,1,8,1,12,2,9,3,24,1,29,1,6,1,13,2,6,1,9,2,11,1,17,1,9,1,13,1,28,5,6,1,9,2,28,31,13,1,14,1,17,1,24,1,8,1,13,1,7,1,16,1,17,1,9,1,13,2,6,1,28,1,}, {17,1,9,1,6,1,7,1,30,1,29,1,8,1,9,1,8,1,28,3,30,1,28,32,6,1,28,1,6,1,8,2,9,1,8,2,10,1,17,2,13,1,6,3,7,2,13,1,17,2,8,1,9,2,13,1,8,1,24,1,8,1,13,1,9,1,7,1,24,1,16,2,9,1,30,1,29,1,7,1,6,1,8,1,17,1,12,1,11,1,13,2,9,3,8,1,10,1,17,2,16,1,12,1,8,2,24,1,9,1,14,1,15,1,28,1,30,1,6,1,13,1,30,1,28,18,30,1,6,1,8,1,13,1,11,1,17,1,12,2,17,1,13,1,7,2,30,1,28,1,7,1,29,1,6,1,17,5,11,1,8,2,13,1,24,1,13,1,24,1,8,3,9,1,17,3,24,1,6,1,28,3,30,2,28,2,30,1,28,2,30,1,28,2,6,1,11,1,17,2,9,1,11,2,12,1,9,1,17,1,13,1,10,1,9,1,11,2,10,1,11,1,8,1,11,1,10,1,9,1,16,1,8,1,11,1,13,1,9,2,6,1,13,1,9,4,13,2,8,1,9,6,8,1,9,1,8,1,11,1,16,1,17,2,9,1,13,1,7,3,29,1,25,1,24,1,8,3,24,1,8,2,24,2,8,2,10,2,8,1,24,2,12,1,17,12,12,1,17,3,10,1,17,6,11,1,17,1,9,2,6,1,30,1,28,7,30,1,28,1,30,1,29,2,6,1,29,1,6,3,7,1,6,1,13,3,7,1,6,1,7,1,6,1,13,2,6,1,29,1,13,1,29,2,6,1,30,1,6,2,28,1,6,1,28,1,30,2,28,2,29,1,28,17,30,1,28,4,30,1,28,4,30,1,28,103,30,1,28,1,30,2,28,1,25,1,26,1,25,1,6,1,8,2,6,1,9,1,24,2,15,1,9,1,10,1,9,1,17,3,9,1,10,1,12,1,17,1,12,1,17,2,12,2,17,1,10,1,17,2,12,2,11,1,17,6,12,1,17,4,11,1,17,7,10,1,17,2,12,1,17,3,12,1,17,1,11,1,17,1,12,1,10,1,17,13,16,3,17,1,16,1,17,1,16,3,11,1,16,2,17,1,16,1,17,1,16,2,17,1,16,14,11,1,16,10,11,1,16,1,11,3,16,2,17,2,9,1,28,28,29,2,28,18,29,1,28,14,30,1,28,2,30,1,29,1,28,3,30,2,28,2,6,1,28,5,30,1,6,3,7,2,8,1,10,1,12,2,17,3,9,1,30,1,28,40,30,1,28,10,30,2,28,28,6,1,30,3,13,2,8,1,13,1,8,2,12,1,24,2,9,1,11,1,9,1,24,1,10,1,12,1,10,3,24,1,9,1,17,1,12,1,11,1,9,1,13,3,9,2,13,1,9,2,13,1,16,2,8,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,8,2,13,2,9,3,16,1,11,1,16,2,11,1,13,2,6,1,13,1,9,1,13,2,6,2,8,1,6,2,9,1,6,1,13,2,30,1,6,2,9,1,6,1,28,1,13,1,29,1,30,1,28,1,6,1,28,1,30,1,28,6,6,1,13,1,6,1,13,1,6,1,28,1,30,2,13,1,28,1,6,1,13,1,28,1,30,2,6,1,30,1,6,1,30,1,13,2,7,1,8,1,13,1,8,1,28,2,13,1,30,1,6,1,30,1,6,1,13,1,30,1,6,1,13,1,8,1,13,1,7,1,9,1,8,1,13,1,29,1,6,1,13,1,28,1,11,1,9,1,8,1,16,1,9,2,13,5,6,1,13,6,8,2,13,1,9,2,13,1,6,1,13,1,33,1,5,1,33,69,5,314,11,1,16,1,11,2,17,2,12,1,11,1,17,2,12,5,17,1,10,1,11,1,12,1,11,1,17,2,11,1,16,1,11,1,5,30,6,1,9,1,11,1,17,1,12,1,17,1,12,1,17,6,10,1,11,1,12,1,8,1,13,1,7,1,8,2,6,1,8,1,12,1,8,1,9,1,17,1,13,1,24,1,7,2,13,1,7,2,6,1,13,1,7,1,13,2,29,1,13,1,7,1,8,1,24,1,10,1,12,2,17,1,10,1,17,11,12,1,17,1,12,1,10,1,12,1,11,1,12,1,17,1,11,1,17,1,12,1,17,2,12,1,17,2,12,1,17,1,12,3,10,1,11,1,12,1,10,2,12,1,17,2,12,1,11,1,10,1,12,2,9,1,12,1,17,1,12,1,17,1,12,2,11,1,12,1,8,1,13,1,10,1,13,1,10,1,8,2,11,1,8,2,9,1,11,3,16,1,9,1,11,1,10,1,11,1,9,2,11,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,10,1,11,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,9,1,8,2,9,1,8,1,9,1,8,3,13,1,8,1,13,1,9,1,13,1,9,2,8,1,9,3,11,2,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,16,2,11,1,16,8,11,2,16,4,11,2,9,2,13,1,6,1,13,3,9,1,16,1,17,1,14,1,16,1,9,1,13,1,28,2,6,1,28,1,30,1,13,1,30,2,6,2,30,3,13,1,11,1,17,1,16,2,17,9,7,1,13,1,8,1,13,2,9,1,13,1,8,1,9,1,8,2,9,1,24,1,6,1,9,1,8,1,9,1,8,2,24,2,12,1,8,2,13,2,24,1,8,1,13,2,8,1,24,1,13,1,7,1,24,1,13,1,6,1,7,1,8,1,13,1,7,1,8,2,7,1,9,1,24,1,8,2,17,1,24,1,12,1,17,1,9,1,24,2,17,1,7,1,9,2,12,1,8,1,9,1,24,1,13,1,10,1,8,2,13,1,7,1,13,1,6,1,8,2,13,1,8,1,6,1,13,1,8,1,13,1,6,1,8,2,10,1,6,1,8,2,13,1,6,1,8,1,6,1,7,1,13,1,6,1,24,2,29,1,24,1,8,1,7,1,24,1,13,1,24,1,13,1,24,2,10,2,12,2,6,1,12,1,9,1,10,1,24,1,17,1,8,1,24,1,10,1,12,1,24,2,10,1,24,1,8,1,24,1,8,1,7,1,8,1,13,1,24,2,8,1,24,2,13,1,9,1,8,1,17,1,9,1,17,1,9,1,12,1,24,1,17,1,10,1,8,1,17,1,11,1,9,1,17,1,12,5,11,1,17,1,16,1,17,1,16,1,17,4,16,1,17,2,16,1,17,3,11,1,16,1,17,1,10,1,17,2,16,1,17,1,11,2,12,1,17,1,12,1,11,2,17,1,10,1,17,5,11,1,17,3,16,1,17,3,9,1,17,5,16,1,17,2,11,1,17,1,16,1,11,1,9,1,17,1,12,1,11,1,12,1,11,1,9,1,12,3,9,1,24,1,11,1,7,1,13,3,6,1,13,1,8,2,7,1,13,1,9,1,8,1,13,1,9,1,13,1,24,1,9,1,13,2,8,1,9,1,8,1,9,1,8,1,10,1,8,1,9,1,8,1,9,5,10,1,9,1,10,1,9,1,10,1,9,2,10,1,9,2,11,1,9,6,11,1,9,2,10,1,11,1,9,1,11,1,9,1,11,2,8,1,11,1,9,1,11,1,16,1,9,1,11,1,9,2,11,2,9,1,16,1,11,2,17,1,11,3,16,3,11,1,16,1,10,1,9,1,11,3,9,3,10,1,9,1,10,1,13,1,9,1,13,1,10,1,9,1,8,1,13,2,9,1,8,2,9,2,8,1,7,1,10,1,9,9,11,2,10,2,11,1,16,1,11,1,9,1,11,5,16,2,17,1,16,1,17,1,16,1,17,1,11,4,16,3,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,62,11,1,17,1,12,1,17,3,11,1,9,2,11,1,17,2,12,2,17,3,11,1,17,11,12,1,17,7,11,3,17,9,11,1,17,1,12,1,16,1,12,1,16,1,11,1,12,1,11,3,17,5,10,1,17,1,11,1,17,2,12,2,11,1,17,1,11,1,17,6,12,1,17,1,10,1,17,1,10,1,12,1,17,4,9,1,17,15,12,1,17,34,16,1,17,12,16,2,17,2,9,1,10,1,9,1,8,1,10,1,13,1,24,1,13,6,6,1,13,2,30,1,29,1,28,1,30,1,28,2,29,1,28,1,7,1,28,8,30,1,28,1,6,2,8,2,13,3,29,1,28,5,30,1,8,1,13,1,9,2,13,2,6,1,30,1,28,6,30,2,9,1,5,35,13,1,28,11,6,1,29,1,8,1,9,1,10,1,9,1,8,4,7,1,13,3,15,1,9,1,12,1,11,1,9,1,29,1,28,5,6,1,15,1,13,1,28,3,30,1,28,27,13,1,12,1,14,1,8,1,7,1,8,1,13,1,16,1,17,1,10,1,13,1,7,1,29,1,6,1,}, {17,1,9,1,8,1,6,1,28,1,6,1,8,1,17,1,12,1,28,22,30,1,28,13,29,2,28,1,7,1,13,1,8,2,17,1,12,1,17,1,15,1,8,1,13,3,29,1,6,1,8,1,17,2,10,1,11,1,8,2,6,1,24,1,13,1,24,1,8,2,7,1,17,2,13,1,6,2,7,1,30,1,13,1,12,1,17,1,9,2,11,1,9,1,12,1,9,1,8,1,10,1,12,1,17,2,12,1,13,1,8,1,9,1,11,1,15,1,14,1,13,1,28,23,29,1,7,1,10,1,8,1,9,1,17,2,16,1,10,1,6,1,29,1,6,4,13,1,12,1,17,4,9,1,13,1,24,1,9,1,13,2,8,1,9,4,12,1,17,2,13,1,30,1,28,5,29,1,28,4,6,1,30,1,28,1,6,1,9,1,11,1,12,1,9,1,17,1,11,2,9,1,11,1,9,2,10,3,17,1,11,2,8,1,11,1,10,1,9,4,13,2,9,2,13,1,8,1,6,1,9,7,16,1,13,1,9,2,13,2,11,1,9,1,11,1,16,1,17,1,8,1,13,1,7,1,13,1,24,1,8,1,6,2,25,1,8,1,24,2,8,1,12,2,24,1,8,1,10,1,8,1,12,1,24,1,12,1,24,1,17,1,12,1,17,1,12,1,17,5,12,1,17,13,11,1,17,3,8,1,28,8,30,1,28,1,30,1,29,1,6,1,7,1,29,1,6,2,30,1,6,1,7,2,13,1,7,1,6,1,13,1,30,1,6,2,13,2,28,1,6,1,30,4,6,1,29,1,28,6,30,1,28,14,30,1,28,118,30,1,28,1,29,1,30,1,6,2,8,2,24,2,10,1,24,1,13,1,24,2,9,1,24,1,12,2,17,2,12,1,17,8,12,1,10,1,17,1,9,1,24,1,12,1,9,1,17,1,12,1,17,2,11,1,17,7,12,2,17,1,12,3,17,4,12,1,17,3,12,1,17,7,11,1,17,12,16,2,17,2,16,1,17,2,11,2,17,1,16,3,17,2,16,2,17,1,16,3,17,2,16,9,17,1,16,1,11,1,16,6,11,3,16,1,11,1,16,1,17,2,11,1,28,2,30,1,28,26,13,1,28,35,30,3,29,1,7,1,28,4,6,1,28,1,6,1,28,2,30,1,28,1,30,1,29,1,6,1,29,1,25,1,6,1,24,5,10,1,17,2,9,1,7,1,30,2,28,42,29,1,28,6,30,1,6,1,28,27,30,1,28,1,6,1,7,2,29,1,8,1,13,1,8,1,24,1,13,1,24,2,12,1,24,1,12,1,17,1,8,1,10,1,13,1,8,2,12,1,9,1,17,2,9,1,10,1,13,1,8,1,13,2,9,2,13,2,9,1,13,1,9,1,13,3,9,1,13,1,8,1,9,1,6,1,10,1,8,1,9,3,13,4,9,1,13,1,9,1,11,1,13,1,9,1,13,1,9,2,8,1,13,1,9,1,13,1,9,2,13,8,6,1,8,2,13,1,8,1,9,1,13,1,28,1,30,1,28,1,30,1,28,1,13,1,28,4,6,1,28,2,6,1,28,1,6,1,13,1,6,1,13,1,30,1,13,3,6,1,13,1,6,1,13,1,28,1,6,1,13,2,6,1,13,2,30,1,29,1,6,1,13,1,6,1,30,1,13,1,8,1,6,2,30,1,13,1,6,1,30,1,13,4,9,1,13,1,8,1,6,2,8,2,13,1,8,2,6,1,9,2,13,3,8,1,7,1,13,2,6,1,13,1,30,1,9,1,8,1,13,1,8,2,6,1,13,1,9,1,13,1,8,1,13,2,33,1,5,1,33,69,5,318,16,3,11,2,17,2,9,1,12,2,17,1,10,1,12,1,10,1,11,1,10,1,17,1,11,1,5,33,13,1,9,1,11,1,17,2,12,1,11,1,17,1,12,1,17,3,10,1,12,2,24,1,7,1,24,1,13,1,24,2,8,1,10,2,24,1,9,1,12,1,8,1,13,1,7,1,13,1,8,1,7,1,6,1,7,1,13,2,7,1,9,1,8,1,13,1,12,1,10,1,24,1,12,1,24,1,8,1,11,2,17,2,24,1,17,1,12,2,17,6,9,1,12,1,11,1,17,5,12,1,17,8,12,2,11,1,17,1,11,1,12,1,17,7,12,1,9,1,12,1,17,1,12,4,9,1,11,1,10,1,13,1,9,1,10,1,9,1,10,1,13,1,8,4,9,1,11,1,8,1,9,1,10,1,9,2,11,1,9,1,11,2,10,1,11,1,9,1,16,1,11,1,9,1,11,1,8,1,10,1,16,1,9,1,16,1,9,1,10,1,9,5,13,1,9,1,13,1,11,1,8,1,13,1,8,1,11,1,13,2,8,1,9,5,8,1,9,3,11,1,9,2,13,1,9,1,8,1,11,1,9,1,11,3,16,2,11,1,16,4,11,1,16,4,11,1,16,2,11,1,16,1,9,1,11,1,9,2,11,1,9,1,13,5,11,1,16,2,14,1,16,1,9,1,6,3,30,1,6,1,28,2,13,1,28,1,30,1,6,2,28,1,6,1,13,1,16,1,17,1,16,2,17,9,13,1,7,1,13,1,9,1,8,2,24,2,8,1,9,1,24,2,8,1,13,1,24,1,8,1,13,1,8,2,24,1,25,1,8,1,13,1,8,1,13,1,8,1,10,1,24,1,6,1,13,1,7,1,6,1,7,2,8,2,29,1,8,1,24,1,13,1,7,1,24,1,8,1,13,2,24,1,13,1,8,1,12,1,24,1,10,1,12,1,10,1,8,1,12,2,24,1,9,1,24,3,12,1,9,1,13,1,8,5,7,1,13,1,6,1,7,1,13,1,29,1,7,1,30,1,8,1,6,1,13,2,6,1,24,1,6,1,8,2,6,1,8,1,29,1,25,1,29,1,24,2,7,1,13,1,8,1,10,1,24,2,13,1,24,1,7,1,10,1,8,2,12,1,13,1,24,1,9,1,24,1,9,2,7,1,10,1,9,1,24,1,8,1,24,2,7,1,13,1,24,3,8,2,13,1,24,1,8,1,7,1,12,1,24,1,8,1,24,1,12,1,9,1,11,1,9,1,12,1,11,1,9,1,12,1,17,1,10,1,11,1,17,1,9,2,17,1,12,1,10,1,16,1,17,1,11,1,16,1,17,1,11,1,17,4,9,1,17,2,10,1,17,4,16,1,17,1,16,2,17,1,11,1,17,3,11,3,17,1,11,1,16,2,12,1,17,2,11,1,16,1,11,1,17,3,11,1,17,1,16,1,17,1,16,1,17,4,10,1,17,4,16,1,17,1,10,1,17,2,12,1,11,1,17,1,9,2,11,1,9,1,17,1,7,1,13,1,8,1,13,1,8,1,7,1,8,1,13,3,6,1,13,2,8,1,13,1,8,1,7,1,13,2,9,2,8,1,9,2,8,1,13,2,8,1,9,1,24,1,13,1,8,1,24,1,9,1,13,1,9,3,8,1,9,1,8,1,12,1,8,1,9,2,11,2,13,1,11,1,9,1,10,1,9,1,11,1,9,1,13,1,9,1,11,1,9,2,8,1,11,2,9,1,11,1,9,2,11,1,9,1,11,2,9,4,16,2,11,4,16,1,11,1,10,1,16,1,11,2,16,1,9,1,11,1,9,6,11,1,9,3,8,1,9,3,8,1,13,1,9,1,13,2,8,2,13,1,9,1,13,1,8,2,13,1,9,1,13,1,9,4,11,1,9,1,11,1,9,2,11,2,9,1,11,1,10,1,11,4,16,1,10,1,16,2,17,2,9,1,17,1,11,3,16,3,17,6,16,1,17,68,12,1,17,4,9,1,10,1,17,6,12,1,17,1,10,1,17,1,10,1,17,1,12,1,17,3,12,1,17,1,12,1,16,1,17,1,11,1,17,1,16,1,11,1,12,1,17,5,12,1,11,1,9,1,11,1,17,3,11,1,17,1,10,1,9,2,17,3,11,1,17,2,12,1,17,1,11,1,17,5,10,1,17,1,12,1,17,4,9,1,17,1,12,1,10,2,9,1,17,7,11,1,12,2,17,1,12,1,17,14,12,1,17,9,16,1,17,41,11,1,17,3,9,1,11,1,8,1,10,1,8,1,13,1,24,2,8,1,7,1,8,1,13,1,9,1,13,1,6,2,28,1,30,1,28,1,30,4,29,1,28,4,30,1,28,3,30,1,28,1,13,2,8,1,9,3,8,1,30,1,28,4,6,1,13,1,8,1,9,2,8,2,9,2,30,1,7,1,30,1,29,1,6,1,30,1,6,1,30,1,5,36,13,1,28,12,13,1,10,2,24,3,13,1,8,1,13,3,7,1,12,1,24,1,12,1,9,1,17,1,9,1,6,1,28,5,30,1,9,1,6,1,28,30,30,1,13,1,17,2,9,1,8,1,6,1,13,1,17,1,11,1,12,1,13,1,6,1,29,1,30,1,}, {17,1,11,1,9,1,7,1,29,1,6,1,7,1,9,1,8,1,13,1,28,6,30,1,28,27,30,1,28,1,30,1,6,2,8,1,10,1,8,2,11,1,17,1,12,1,8,1,6,2,13,1,7,3,17,1,10,1,9,1,13,1,9,1,12,1,8,1,24,1,13,2,8,1,7,1,8,1,17,2,16,1,6,1,8,1,6,1,7,1,8,1,10,1,17,1,11,1,16,1,11,2,12,1,11,1,9,2,17,4,11,1,24,2,12,1,14,1,10,1,6,1,30,1,28,22,30,1,6,1,13,1,8,2,12,1,17,2,8,1,6,1,29,2,30,1,7,1,28,1,8,1,17,5,24,1,9,1,8,1,9,2,13,2,8,1,24,2,16,2,17,2,6,1,28,1,30,2,28,5,30,1,28,2,13,1,28,2,13,1,10,1,11,1,17,1,16,1,11,1,16,2,11,3,9,1,17,2,9,3,11,1,9,2,8,1,16,1,11,1,8,1,9,1,8,1,13,5,8,1,13,1,8,1,9,3,8,2,9,4,16,1,9,1,16,1,9,1,16,2,11,1,8,3,7,1,8,1,13,1,24,3,25,1,24,1,8,1,24,2,13,1,8,1,12,1,24,1,10,1,12,1,24,1,17,1,10,1,17,2,12,1,17,5,12,1,17,2,12,1,17,9,12,1,17,2,12,2,9,1,6,1,28,10,30,1,28,1,30,2,28,1,7,1,29,1,6,3,30,2,29,2,6,2,7,1,30,2,29,2,7,1,29,2,28,1,30,2,28,141,30,1,29,1,30,1,6,1,30,1,25,1,7,1,6,1,8,1,24,1,7,1,12,1,8,1,9,1,24,1,8,1,12,1,17,2,10,1,17,2,12,1,11,1,17,1,10,1,17,1,12,1,10,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,11,2,9,1,17,6,12,1,17,1,12,1,11,1,17,1,12,1,17,2,11,1,9,1,17,5,12,1,17,1,11,1,17,1,11,1,17,19,16,1,17,1,16,2,17,2,16,1,17,3,16,1,17,1,16,3,17,3,16,1,17,1,16,1,17,1,16,4,11,1,17,1,16,6,11,1,16,1,9,1,16,1,11,2,17,3,6,1,28,1,30,1,28,26,13,1,6,1,28,30,30,1,28,2,6,1,28,3,30,1,28,2,6,1,30,2,28,3,30,1,28,1,30,1,28,2,29,2,6,1,8,1,25,1,6,2,8,1,24,1,10,1,9,1,17,3,13,1,6,2,28,41,30,1,28,2,30,1,28,3,30,1,28,1,30,2,29,1,28,25,30,2,28,1,6,1,13,1,6,1,28,1,13,1,8,2,24,1,8,1,24,1,9,1,8,1,17,1,11,1,17,1,12,2,24,1,10,1,11,1,9,1,10,1,17,2,10,1,9,1,16,1,7,1,13,3,9,1,13,3,9,2,8,1,13,1,6,1,13,1,6,1,9,1,13,1,9,2,11,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,13,2,9,2,13,1,9,1,13,2,9,2,8,1,6,1,9,1,13,2,8,1,13,1,30,1,13,2,9,1,13,1,8,1,6,1,13,3,9,1,13,6,6,1,28,5,30,1,28,2,30,1,28,1,6,1,13,1,6,1,28,1,30,1,28,1,9,1,6,1,13,3,8,1,16,1,13,1,6,1,13,1,29,1,6,1,13,4,9,1,13,1,6,1,8,1,30,2,28,1,6,2,13,1,6,1,13,1,9,2,13,2,29,1,30,1,6,3,13,1,7,2,13,5,7,1,13,2,6,2,13,1,29,1,13,4,8,1,9,1,13,2,9,1,8,1,13,2,10,1,13,1,6,1,5,2,33,68,5,321,16,1,11,4,17,2,12,2,11,3,16,1,5,35,13,1,8,1,11,1,12,1,17,2,12,3,17,1,12,1,17,2,12,1,17,1,12,1,24,3,8,2,10,1,13,1,11,1,9,1,24,1,17,1,9,2,13,1,6,2,7,1,8,1,13,1,7,2,13,2,8,2,10,1,9,1,24,1,10,1,24,1,9,1,10,1,24,1,17,4,12,2,17,7,9,1,12,3,17,3,12,1,11,3,17,3,12,3,11,1,12,3,11,1,9,1,17,6,12,2,9,1,12,1,17,1,11,1,12,3,9,1,10,1,8,2,9,1,10,1,9,9,10,1,13,1,9,1,11,2,9,1,11,1,10,1,9,1,11,1,9,4,16,1,8,1,9,1,16,1,11,1,10,1,9,2,8,1,11,1,9,1,13,1,11,1,9,2,8,1,9,3,8,1,13,1,9,1,8,2,9,1,13,2,9,2,8,1,11,1,9,4,10,1,9,3,11,2,9,1,11,1,16,1,11,1,16,4,11,2,16,1,11,1,16,1,11,1,16,4,10,1,9,1,11,1,9,1,8,2,9,2,8,1,13,4,9,2,11,1,16,4,13,1,6,1,30,1,6,1,30,4,13,1,28,1,30,1,13,1,6,1,30,1,13,1,16,2,17,1,16,1,17,9,11,1,6,1,13,2,9,1,8,1,13,1,7,1,10,1,8,1,24,1,13,2,8,1,13,1,8,3,24,3,7,1,24,1,7,1,29,2,6,2,13,1,6,1,8,1,29,1,6,1,29,1,7,1,6,1,7,1,8,1,25,1,7,1,8,1,13,1,24,1,8,1,10,1,8,1,10,1,8,1,17,2,10,1,24,2,8,2,12,1,24,1,9,3,8,1,9,1,8,1,24,2,9,1,7,1,13,2,8,1,13,1,6,2,13,3,6,2,13,2,6,1,8,2,6,1,8,1,6,1,8,1,6,2,29,1,8,1,6,1,25,1,13,1,7,1,8,2,24,1,6,1,24,2,6,1,24,1,12,1,24,1,13,1,24,1,13,1,8,1,13,1,12,1,24,2,9,2,24,2,8,1,10,1,8,2,24,2,8,1,13,1,24,1,8,2,24,1,7,1,10,1,8,1,24,1,9,1,10,1,24,1,12,1,9,1,12,1,9,1,17,1,11,1,10,1,11,1,12,1,9,2,11,1,17,1,10,1,17,1,11,1,17,1,16,1,12,1,17,1,11,1,17,7,12,1,17,1,11,2,17,1,10,1,17,2,16,1,11,1,16,2,11,1,10,1,9,1,10,1,16,1,17,1,12,1,17,1,11,1,17,6,16,1,17,2,11,1,17,1,16,1,17,1,12,1,11,1,17,3,16,1,17,2,16,2,17,3,12,2,11,1,12,1,11,1,17,1,9,1,17,1,12,1,13,2,8,1,13,1,24,1,13,1,8,1,13,1,9,1,8,1,13,1,7,1,6,1,8,2,13,1,6,1,13,2,8,2,7,1,13,1,8,2,13,3,9,1,8,2,7,1,8,1,6,1,9,2,8,2,9,2,8,1,9,7,11,1,9,2,8,1,9,2,11,1,10,1,8,1,9,5,8,1,11,1,9,2,11,1,16,1,10,1,11,1,16,1,11,5,16,2,11,2,9,1,16,1,11,1,16,3,9,1,11,2,9,3,16,1,9,3,8,1,9,4,8,1,9,1,13,1,9,1,13,3,8,2,13,1,10,1,13,2,9,1,13,2,9,1,13,1,11,1,9,3,10,1,9,1,11,1,9,1,11,1,10,1,9,1,11,3,10,1,16,1,11,1,16,1,11,2,16,2,11,2,16,1,11,1,16,1,11,1,16,1,17,1,11,1,16,1,17,57,16,1,17,19,12,1,10,1,9,1,17,4,11,1,17,2,12,2,17,2,10,1,17,1,9,1,17,12,10,1,17,2,12,1,17,1,11,1,12,1,11,1,17,5,11,2,12,1,17,2,16,1,17,2,11,3,17,7,12,1,17,2,11,3,12,2,17,2,11,1,12,1,11,1,17,1,10,1,12,1,10,1,12,1,17,2,9,1,17,1,10,1,9,1,17,4,11,1,17,19,10,1,17,45,11,6,8,1,9,1,13,1,6,1,13,1,8,2,7,1,13,1,7,1,13,2,6,1,30,3,29,1,30,1,28,4,30,1,29,1,30,1,28,1,30,3,6,1,7,3,13,1,9,2,13,1,9,1,13,1,6,1,30,1,29,1,13,1,9,1,8,1,9,1,8,2,13,1,9,3,11,1,13,1,9,1,13,1,6,1,13,1,5,37,30,1,28,12,7,1,17,1,9,1,12,1,13,2,7,1,13,1,29,1,7,3,13,1,24,1,10,1,12,2,11,1,30,1,28,5,6,1,9,1,24,1,30,2,28,29,13,1,17,1,16,1,9,1,8,1,13,2,17,1,16,1,12,1,13,1,7,1,30,1,28,1,}, {12,1,11,1,9,1,7,2,13,1,6,1,12,1,8,2,28,7,30,1,28,9,30,1,28,16,30,1,28,2,13,1,6,2,9,1,24,1,17,2,11,1,17,1,12,1,6,2,13,1,7,1,6,1,13,1,12,1,8,1,9,2,8,1,13,2,24,3,8,1,29,1,8,1,16,1,17,1,10,1,13,1,6,1,29,1,30,1,8,1,17,2,11,2,9,3,8,1,12,1,11,1,17,4,9,1,10,2,12,1,17,1,9,1,6,1,28,22,30,1,28,1,8,1,13,1,8,2,11,1,17,2,8,1,7,1,28,1,30,1,29,2,6,2,17,4,12,1,11,1,13,1,8,1,24,1,8,1,13,2,8,1,9,1,24,1,9,1,10,1,11,2,13,1,6,1,28,4,30,1,28,5,8,1,28,2,13,1,11,2,10,1,11,1,9,1,16,1,9,1,11,1,17,2,9,1,17,1,10,1,17,1,11,2,16,1,8,1,10,1,8,1,9,3,6,1,9,1,13,2,9,1,13,2,8,2,9,5,13,2,9,3,13,1,8,1,9,2,8,1,16,2,11,1,13,1,8,1,6,1,13,1,8,1,12,1,8,1,24,1,25,1,24,2,13,1,10,1,24,5,12,1,17,1,9,1,12,2,17,13,12,1,17,9,12,1,17,1,9,1,7,1,28,9,29,1,28,1,6,1,28,1,30,1,6,3,29,3,7,1,30,1,7,1,29,1,30,1,6,1,29,1,6,2,30,2,29,1,30,1,28,1,30,1,28,4,30,1,28,23,30,1,28,2,30,1,28,111,30,1,26,1,29,1,6,1,29,1,6,1,7,2,6,1,8,1,24,1,8,1,24,2,8,1,12,1,10,1,8,1,17,1,10,1,17,2,10,1,17,1,12,1,17,1,12,2,10,1,12,1,10,1,12,1,10,2,12,2,17,2,11,1,17,2,11,1,12,1,17,11,10,1,17,1,12,1,17,5,11,1,17,1,11,1,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,11,1,17,2,16,1,17,15,16,1,17,1,16,1,17,3,16,1,17,2,16,1,17,2,16,1,17,1,16,3,17,1,16,8,11,1,16,1,11,1,16,2,11,1,16,1,11,2,16,1,11,1,17,3,9,1,30,1,28,2,30,1,28,9,30,2,28,13,8,1,30,1,28,35,30,1,28,3,30,1,28,9,30,2,29,1,6,1,29,1,30,1,25,1,6,1,8,1,7,1,24,1,9,2,17,3,9,1,6,1,13,1,29,1,28,37,30,1,28,8,30,1,29,1,28,1,30,1,28,28,30,1,28,1,6,1,29,1,6,2,13,1,8,3,24,2,8,1,24,1,9,1,12,1,13,1,12,1,8,1,9,1,11,2,9,3,17,2,16,1,17,1,9,3,11,2,13,1,9,2,8,1,9,1,6,1,9,1,13,1,9,2,11,2,9,1,11,1,9,1,8,1,11,1,9,3,13,1,9,2,13,1,9,1,13,1,9,1,13,1,8,2,9,1,11,1,8,1,9,1,30,1,8,1,13,2,8,1,13,3,6,1,13,2,9,2,6,1,13,2,11,1,8,1,13,1,9,1,6,1,13,1,9,2,13,1,6,1,30,1,6,1,28,1,30,1,6,1,28,2,6,3,13,1,6,2,13,1,6,1,29,1,9,1,30,1,6,1,9,1,13,1,29,1,13,5,6,1,9,1,13,2,6,1,13,3,6,1,28,1,6,1,13,2,30,1,13,1,30,2,6,2,13,1,6,1,29,1,30,2,13,2,30,1,8,1,13,1,9,1,13,4,6,1,13,1,6,1,30,1,8,1,13,4,9,1,13,2,9,1,13,1,8,2,29,1,13,1,9,1,13,3,33,1,5,1,33,67,5,326,16,1,11,1,16,3,5,37,33,1,30,1,11,1,8,1,12,1,17,1,12,2,10,1,17,1,12,1,17,3,12,3,9,1,24,2,8,1,9,1,13,1,9,1,10,1,9,2,10,1,9,1,24,1,8,1,13,3,8,1,13,4,9,3,24,1,13,1,10,1,9,2,10,1,9,1,12,1,11,1,10,1,12,1,17,1,12,2,17,6,12,1,17,1,12,1,17,1,12,1,17,1,11,1,17,1,12,1,10,1,12,1,17,1,12,1,17,2,12,1,17,1,12,3,10,1,12,1,11,1,17,5,11,2,8,1,12,1,10,1,17,1,11,1,17,2,12,3,9,1,8,1,10,1,9,1,10,2,9,1,13,1,9,3,10,1,9,3,10,1,16,1,9,1,16,1,11,3,10,1,9,2,11,1,9,1,16,1,10,1,11,1,9,1,11,2,9,4,10,1,11,1,9,4,13,1,9,4,8,2,13,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,11,1,9,5,10,1,11,3,9,2,16,1,11,1,16,3,17,1,11,1,16,1,11,2,16,1,11,1,17,1,11,1,16,1,11,2,9,1,10,1,9,2,8,1,11,1,9,1,17,1,13,4,9,3,16,1,14,1,16,1,14,1,16,1,13,1,28,1,30,3,28,1,6,1,30,1,28,1,30,1,6,1,30,2,13,1,9,1,16,1,17,1,16,2,17,9,16,1,6,1,13,1,8,3,13,1,9,1,8,7,24,1,6,1,24,1,25,1,7,1,8,2,7,2,29,1,13,2,7,1,8,2,25,2,6,1,30,1,8,1,6,1,28,1,29,1,8,1,7,1,6,1,13,1,24,1,13,1,8,1,13,1,8,1,6,1,8,2,24,1,9,1,10,1,24,1,12,1,9,1,8,2,10,1,8,1,24,2,10,1,24,2,9,2,8,1,6,2,13,1,6,2,13,1,6,1,13,1,6,1,29,1,13,1,6,1,8,1,13,1,28,1,8,1,29,1,13,1,6,2,29,1,13,1,6,1,25,1,8,1,6,1,8,1,13,2,8,2,24,1,8,1,7,1,24,3,13,2,8,1,10,1,24,1,8,1,10,1,12,1,24,4,10,1,24,2,8,2,24,1,8,1,24,2,13,1,9,1,8,1,10,1,9,1,24,1,9,1,10,1,9,1,12,1,24,2,12,3,17,1,16,1,11,1,16,1,12,1,11,1,16,1,12,1,16,1,12,1,16,2,9,1,17,1,16,1,11,1,17,5,12,1,16,2,17,2,11,1,17,3,11,3,10,2,11,1,12,1,11,1,9,1,17,3,12,1,17,4,12,1,17,2,10,1,17,2,16,1,17,2,12,1,17,1,16,1,17,1,12,1,11,1,17,1,12,2,11,2,17,1,16,1,17,1,10,1,17,2,9,1,11,1,17,1,11,1,9,1,13,1,7,1,8,2,13,1,7,1,13,1,6,2,13,1,6,1,13,3,7,1,29,1,8,1,13,1,8,1,9,1,8,2,13,1,8,1,13,3,8,1,13,1,8,1,13,1,8,3,9,1,8,1,9,1,13,1,24,1,8,2,9,2,13,1,8,1,9,1,8,1,9,3,16,1,9,1,11,1,8,1,9,2,8,1,10,1,9,2,11,2,10,1,9,1,11,1,9,2,11,2,9,2,13,1,9,1,11,3,16,4,11,1,16,1,11,2,16,2,11,3,9,1,10,2,9,1,13,1,9,2,13,1,8,1,13,1,8,1,9,2,13,2,9,1,8,1,13,2,9,1,13,2,8,2,13,3,8,2,9,1,13,2,16,1,9,3,11,2,16,1,11,5,16,1,11,3,17,1,11,2,10,1,11,5,16,2,17,1,16,2,17,1,16,1,17,12,16,1,17,4,16,1,17,12,16,3,17,3,16,1,17,34,12,1,17,1,11,1,17,2,11,1,10,1,11,1,17,2,12,1,10,1,12,1,11,1,17,15,12,1,11,1,17,1,12,1,10,1,17,1,12,1,17,2,11,1,12,1,17,1,11,1,17,3,11,1,17,11,16,1,17,5,10,1,11,1,17,1,11,1,17,1,10,3,12,1,17,2,11,1,17,1,10,1,17,1,12,1,17,1,10,1,17,3,10,1,17,1,10,1,17,9,16,1,17,7,11,1,17,4,11,1,17,5,12,1,17,40,12,1,17,1,12,1,17,2,11,1,10,1,9,1,8,1,10,1,8,2,13,1,8,1,9,1,8,3,6,1,13,2,6,2,29,1,28,2,30,2,28,4,30,3,29,1,6,2,30,1,28,1,30,2,8,2,9,2,8,1,9,1,8,1,13,1,8,2,9,1,8,4,13,3,9,1,11,1,5,41,28,13,8,1,12,3,9,1,13,3,6,1,29,1,6,2,13,1,24,1,9,1,12,1,17,1,9,1,29,1,28,5,7,1,11,1,8,1,30,1,28,1,30,1,28,28,9,1,14,1,11,1,8,1,24,1,13,1,24,1,14,1,10,1,9,1,8,1,7,1,30,1,28,1,}, {12,2,13,1,6,1,7,1,6,2,17,1,10,1,13,1,28,28,30,1,28,6,6,1,30,1,6,1,7,2,8,2,12,1,17,1,12,1,17,1,11,1,13,1,7,1,13,1,6,2,30,1,17,1,11,1,24,1,13,1,6,1,8,1,9,5,13,1,8,1,12,1,17,1,8,1,13,1,29,1,13,1,8,1,13,1,17,1,16,1,17,1,9,2,17,1,10,1,11,1,12,1,16,1,17,4,12,1,9,1,8,1,12,1,16,1,12,1,8,1,6,1,28,23,6,1,13,1,24,1,9,1,10,1,17,1,12,1,10,1,13,1,29,1,6,2,7,1,13,1,28,1,17,4,11,1,8,1,9,1,8,1,7,1,8,1,6,1,9,1,8,3,10,1,12,1,11,2,13,1,28,2,30,1,28,1,30,2,28,3,30,1,28,1,13,1,28,2,7,1,17,1,11,1,9,2,17,1,11,1,9,1,11,2,9,3,10,1,11,1,9,2,11,3,9,1,13,1,9,1,13,3,7,1,13,1,9,1,6,1,8,2,11,1,9,1,13,5,11,1,9,2,11,1,17,1,10,1,9,1,16,1,11,1,16,1,9,1,10,1,24,1,13,1,24,2,8,1,24,2,8,1,25,2,8,1,7,1,24,1,9,1,24,2,12,1,9,1,24,1,12,1,17,3,12,1,17,4,12,1,17,19,10,1,6,1,28,11,29,1,6,1,30,1,6,1,30,1,6,1,7,1,13,1,6,1,30,1,29,2,30,1,29,1,28,1,30,3,6,1,28,2,29,1,28,24,30,1,28,119,6,1,28,3,30,1,6,1,7,1,30,1,25,2,13,1,8,3,24,2,12,1,24,1,9,1,12,1,17,1,10,1,17,3,10,1,12,1,17,1,10,1,12,1,17,3,10,1,9,1,17,1,11,1,12,1,17,5,11,1,17,6,12,2,9,1,17,1,12,1,17,6,12,1,9,1,17,3,11,2,12,1,17,4,12,1,17,1,16,1,17,1,10,1,12,1,17,2,12,1,17,15,16,1,17,2,16,1,17,10,16,4,17,1,16,10,11,1,16,3,17,3,13,1,28,1,30,2,28,25,7,1,28,36,30,1,28,2,30,2,28,4,30,1,28,2,30,1,29,1,30,1,29,1,30,1,29,2,25,1,6,1,25,2,24,1,13,1,9,1,10,1,12,1,17,2,13,3,30,1,28,39,29,1,28,1,30,1,28,4,30,1,28,2,30,2,28,27,30,1,28,2,13,1,29,1,7,1,6,1,8,2,9,1,8,1,9,1,10,2,9,1,10,1,12,1,11,1,9,1,10,2,9,1,8,1,13,1,10,1,17,3,11,1,9,1,11,1,13,1,6,1,13,3,11,1,8,1,11,1,9,2,16,1,13,1,16,1,9,1,13,1,9,1,8,1,11,1,8,1,13,2,16,1,8,1,9,1,8,1,13,2,9,1,11,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,13,5,9,1,13,6,9,1,7,1,8,1,6,1,11,1,8,1,9,1,13,4,6,1,13,2,9,1,30,1,8,1,6,2,28,1,13,3,30,1,28,1,13,1,29,1,6,2,28,1,13,1,28,1,7,1,6,1,13,1,29,1,13,1,6,3,13,4,29,1,6,1,13,1,6,1,13,1,30,2,6,1,13,1,6,4,30,1,29,1,13,1,6,3,13,1,8,1,13,2,28,1,9,1,13,2,8,1,13,3,29,1,6,1,13,1,7,1,13,4,8,4,9,1,8,1,9,2,6,1,13,1,8,1,9,1,13,1,9,2,33,1,5,2,33,65,5,369,13,1,9,2,12,7,17,5,10,2,8,1,10,1,8,2,9,1,13,2,12,1,11,2,10,2,13,3,9,1,7,1,8,1,13,1,6,3,8,1,9,1,10,1,9,1,8,3,9,1,13,1,24,3,10,2,17,1,10,1,12,1,17,8,12,2,11,1,10,1,12,5,10,1,17,1,11,1,17,4,12,1,10,1,11,1,12,1,17,1,11,1,17,1,11,1,17,1,10,1,12,2,11,1,17,1,12,5,17,1,10,1,9,5,13,2,9,8,11,1,9,1,8,1,16,1,11,2,10,1,11,1,9,1,10,1,11,2,16,2,11,1,16,1,10,1,9,1,11,2,9,2,11,1,9,2,11,1,8,3,9,1,8,1,9,3,13,1,9,1,13,1,9,1,8,1,9,3,13,1,11,1,8,1,9,1,11,1,9,1,16,1,8,1,16,1,11,2,16,1,11,3,16,1,11,3,16,1,11,1,16,2,11,1,16,3,11,3,9,1,8,1,9,1,13,1,9,1,11,1,8,1,9,2,7,1,13,3,6,1,9,2,16,2,17,2,16,1,13,1,28,2,30,6,28,1,6,1,30,1,13,2,9,1,16,1,17,1,16,3,17,9,8,1,13,1,6,1,9,1,13,2,24,1,13,1,7,2,13,1,8,1,6,1,10,1,6,1,8,1,25,1,24,1,25,1,8,1,7,3,29,1,6,1,8,1,7,2,25,1,6,1,7,1,6,2,8,1,7,1,29,1,8,1,7,1,8,2,7,1,8,1,13,1,8,1,7,1,8,1,24,2,8,1,11,1,24,2,9,1,10,1,24,1,8,1,9,2,8,1,13,1,6,1,10,1,8,1,24,2,13,1,6,1,7,2,8,1,6,1,24,1,29,1,13,1,6,1,29,1,6,1,13,1,8,1,13,1,7,1,29,1,7,1,13,1,29,1,6,2,25,2,29,1,6,1,29,1,8,2,7,1,8,1,13,1,8,2,13,1,8,1,13,1,8,1,24,1,7,1,8,1,13,1,10,1,24,1,10,3,24,2,8,1,10,1,24,1,9,1,13,1,7,1,24,2,9,1,7,1,10,1,9,1,24,1,9,1,24,1,9,1,12,1,24,1,11,1,12,3,9,1,11,1,10,2,17,1,9,1,17,2,16,1,9,1,12,1,16,1,10,1,16,1,11,1,9,1,16,1,17,1,11,1,17,1,9,1,12,1,17,1,11,1,17,3,11,1,17,2,9,1,17,1,9,2,17,1,11,1,10,1,17,1,9,1,11,1,9,1,10,1,11,1,17,1,10,1,17,2,12,1,17,2,11,1,17,3,11,1,16,1,11,1,17,1,10,1,11,1,17,1,16,1,17,1,10,1,11,1,17,2,11,1,12,1,10,1,17,3,11,4,12,1,17,1,9,1,24,1,8,1,13,1,8,1,7,1,8,1,13,1,8,1,13,4,6,1,13,1,6,1,8,1,6,1,8,1,13,1,8,1,7,2,8,1,7,1,13,1,24,1,13,1,24,1,8,1,6,1,8,1,13,1,8,1,13,3,8,2,13,3,8,1,9,1,8,1,13,1,9,3,8,2,11,1,8,1,9,2,10,1,9,1,11,1,9,1,11,1,10,1,8,1,9,1,13,1,16,1,13,1,10,2,11,1,9,1,11,1,16,1,9,1,11,2,10,1,11,4,16,2,11,4,16,1,10,2,9,1,17,1,11,1,9,5,13,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,8,4,13,2,9,2,8,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,11,1,8,1,10,1,11,1,13,1,11,3,9,1,10,1,11,2,16,1,11,1,16,1,11,3,17,1,11,1,17,1,11,1,17,1,11,1,17,1,16,2,11,1,17,1,16,1,17,1,16,1,17,7,11,1,16,2,17,1,16,1,17,10,16,1,17,10,16,1,17,3,11,1,17,18,16,1,17,11,16,1,17,2,11,1,17,4,11,2,17,12,10,1,17,4,12,2,17,3,11,1,16,1,12,1,11,1,9,1,10,1,17,2,16,1,11,1,17,2,11,1,17,7,12,1,17,5,9,1,17,6,11,3,17,3,12,2,11,1,12,1,10,3,11,1,17,1,12,1,17,1,11,1,17,1,12,1,10,1,17,1,9,1,11,1,17,11,12,1,17,3,11,1,17,7,11,1,12,1,17,1,11,1,17,4,11,1,17,45,11,1,12,1,11,1,9,1,13,3,9,1,7,1,8,1,10,1,8,3,13,2,29,1,30,1,6,3,30,1,28,1,6,2,29,1,6,1,7,3,13,1,6,1,28,1,30,1,28,1,6,2,8,1,9,3,11,4,9,4,8,1,9,1,13,1,9,2,5,43,28,13,9,1,17,1,12,2,24,1,8,2,13,1,6,1,29,1,13,1,29,2,24,1,8,1,11,1,10,2,28,6,8,2,13,1,28,1,29,1,30,2,28,27,15,1,14,2,9,2,13,2,14,1,15,1,10,1,8,1,6,1,28,2,}, {16,1,8,1,7,1,6,2,29,1,13,1,17,2,13,1,28,6,6,1,28,1,29,1,28,5,30,1,28,2,30,1,28,10,30,1,28,7,29,1,13,1,7,1,9,1,13,1,24,1,9,1,17,3,24,1,13,1,6,2,29,1,30,1,13,1,12,1,9,1,10,1,6,1,24,1,8,1,9,1,10,3,9,1,13,2,12,1,17,1,11,1,13,1,6,3,7,1,12,1,17,2,16,1,12,1,8,1,9,1,12,1,9,2,17,3,11,1,10,1,9,1,8,1,10,2,16,1,6,1,30,3,28,5,30,1,28,1,29,1,28,11,30,2,7,1,6,1,9,2,17,3,9,1,13,1,29,1,6,1,13,1,30,2,13,1,17,4,10,2,9,1,13,1,8,2,13,1,8,1,13,2,9,1,12,2,17,2,13,1,6,1,28,3,6,1,28,1,30,1,28,2,30,3,28,2,29,1,8,1,9,1,17,1,9,1,11,4,9,1,11,1,16,1,9,1,8,1,16,1,11,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,8,1,30,1,16,1,13,1,9,1,13,1,9,1,13,1,9,2,13,1,9,3,8,1,9,2,16,1,10,1,13,1,9,1,11,1,9,5,12,2,24,1,12,2,24,2,8,1,24,2,8,1,10,1,8,1,24,1,12,3,24,1,17,1,10,1,17,1,12,3,17,1,12,1,17,4,11,1,17,3,12,1,17,11,11,1,12,1,13,2,28,10,30,1,28,1,30,1,29,1,28,1,29,2,28,1,29,1,28,1,29,1,30,1,28,1,29,2,28,1,29,1,28,1,6,1,30,1,28,1,6,1,30,1,28,27,30,1,28,60,30,1,28,52,30,2,28,1,30,3,6,2,28,1,6,2,29,1,24,1,6,1,10,1,24,2,9,1,24,1,17,1,24,2,17,1,10,1,17,1,12,1,10,1,17,2,10,1,17,2,9,1,17,1,12,3,17,1,12,1,10,1,12,1,17,1,10,1,11,1,17,4,9,1,17,1,11,1,17,1,11,1,17,1,12,2,17,5,11,1,12,1,17,1,10,1,12,1,17,6,11,1,12,1,9,1,17,3,12,1,17,1,11,1,12,1,17,2,12,1,17,1,9,1,17,1,11,1,9,1,12,1,17,9,16,1,17,1,16,2,17,8,16,2,11,1,16,10,11,1,16,7,17,1,9,1,28,1,30,1,29,1,28,12,30,1,28,14,6,1,28,12,29,1,28,21,30,2,28,7,30,1,7,1,29,1,28,1,30,1,6,1,28,2,30,2,26,1,6,1,25,2,8,2,13,1,8,1,24,1,12,1,17,3,13,2,29,1,28,1,30,1,28,29,30,1,28,6,29,1,28,3,6,1,28,2,30,2,28,3,29,1,30,1,28,29,7,1,30,1,8,1,29,1,8,1,24,2,8,1,9,1,8,1,9,1,24,1,9,2,12,1,9,4,10,1,12,1,8,1,10,1,17,2,16,1,11,1,10,1,9,1,13,6,7,1,13,1,8,1,9,1,11,1,10,1,9,1,16,1,13,1,17,1,9,1,11,2,10,1,9,5,8,1,9,1,11,2,9,1,13,1,9,1,11,1,9,1,13,1,9,1,8,1,13,2,8,1,6,1,13,1,6,1,13,2,9,1,13,3,8,1,9,1,8,1,9,1,11,2,9,1,13,2,8,1,13,3,6,1,9,1,13,1,9,2,8,2,9,1,6,1,13,1,6,1,13,1,6,2,30,1,6,1,13,2,6,1,29,1,6,2,13,1,6,1,13,1,7,1,13,4,28,1,13,1,6,1,13,2,6,1,8,1,6,1,13,1,6,3,30,1,29,1,13,2,6,3,9,1,10,1,9,1,7,1,13,1,29,1,8,1,30,1,28,1,13,1,8,1,13,1,8,1,6,1,13,5,6,1,9,1,13,2,8,1,9,1,13,1,9,3,8,1,10,1,9,1,8,1,11,1,9,1,11,1,9,1,33,68,5,369,28,1,9,1,11,1,12,1,17,2,12,1,24,1,9,1,11,1,17,2,12,1,17,1,12,3,9,1,10,1,8,1,6,1,13,2,10,1,11,1,12,1,9,2,8,2,13,1,8,1,13,1,24,1,9,1,29,1,6,1,13,1,9,1,7,1,8,1,12,1,24,1,9,1,24,1,10,2,24,1,10,2,9,1,24,2,12,1,17,2,9,1,17,2,12,1,17,3,24,1,10,3,12,4,17,1,10,2,9,1,10,1,17,2,10,1,11,2,10,1,9,1,12,1,17,4,11,1,12,1,9,1,12,1,11,1,12,2,17,4,11,1,8,1,9,1,13,1,8,2,9,1,8,2,9,3,13,2,9,2,8,1,9,1,8,1,9,1,10,1,11,1,9,1,11,5,16,2,9,1,16,1,11,1,10,1,11,3,16,1,9,1,11,1,9,1,8,1,9,1,11,1,9,1,8,1,11,1,8,1,9,1,13,1,11,1,9,1,8,1,9,1,8,1,9,4,10,1,9,2,11,2,9,2,10,1,9,1,11,8,16,1,11,1,16,2,17,1,16,4,11,2,13,1,8,1,9,2,13,1,8,1,11,1,9,3,11,1,13,2,6,1,13,4,9,1,14,1,17,3,13,1,6,1,13,1,6,1,30,1,6,1,28,1,6,2,28,2,13,1,6,2,9,1,16,1,17,2,16,1,17,11,9,1,13,1,8,1,13,3,7,1,8,1,7,1,24,1,7,1,8,2,25,1,8,1,24,1,8,1,6,1,7,2,29,1,7,1,6,1,8,1,7,1,8,1,7,1,8,1,24,1,6,1,25,1,7,1,28,1,29,2,7,1,8,1,7,1,6,1,24,1,6,1,7,1,6,1,13,1,24,4,13,1,8,3,9,1,24,1,8,1,9,1,8,1,10,1,12,1,9,2,24,2,8,1,10,1,6,1,7,1,13,1,29,1,6,1,30,1,13,1,29,1,13,1,29,2,13,1,8,1,29,2,7,1,28,1,7,1,13,1,30,1,29,1,8,1,6,1,28,1,7,1,6,1,13,1,25,1,24,1,8,2,7,1,24,1,10,1,8,1,7,1,8,1,24,1,8,1,7,1,8,1,12,1,8,1,24,1,13,1,8,1,24,1,13,2,7,1,8,3,9,1,13,1,24,3,13,1,10,2,8,1,10,3,17,1,10,1,17,5,12,1,17,2,11,3,17,1,11,1,17,1,11,3,10,2,16,2,17,2,12,1,17,1,12,1,17,1,11,2,9,1,12,1,9,1,17,1,11,1,10,1,11,1,9,2,10,3,11,1,10,1,9,1,11,1,16,1,11,1,17,1,11,1,17,3,11,1,17,1,11,1,17,5,12,1,17,1,11,1,17,5,11,1,16,1,17,1,11,1,12,1,16,1,10,1,16,1,17,1,11,1,9,1,8,1,17,1,9,1,10,1,13,1,8,2,13,1,24,1,13,1,8,1,13,2,6,2,8,1,13,2,8,1,7,1,24,1,6,1,8,1,13,1,8,2,6,1,8,1,7,1,13,2,7,1,13,3,7,1,24,1,6,1,9,1,8,2,13,1,8,1,9,1,13,1,9,4,13,1,9,4,12,1,11,1,9,13,10,1,11,1,9,1,11,1,9,1,11,3,9,1,11,2,16,1,11,1,16,1,9,1,16,2,11,1,16,1,9,1,10,1,11,4,9,1,17,1,9,1,11,1,9,2,13,1,9,2,8,2,13,1,9,1,13,1,11,1,13,4,6,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,11,1,9,1,10,1,11,2,9,2,10,1,11,3,9,1,11,2,16,2,17,3,11,2,16,1,10,1,16,4,17,1,16,3,17,5,11,1,16,1,11,1,16,1,17,3,16,1,17,1,16,1,11,1,17,1,11,1,17,2,11,1,17,7,11,1,16,1,17,3,11,1,17,6,11,1,17,28,16,1,17,1,11,1,17,6,9,1,17,14,11,1,17,2,11,1,10,1,17,1,16,1,17,5,11,4,16,1,11,1,12,1,17,3,11,1,17,9,11,1,17,3,9,1,12,1,11,2,17,1,11,1,17,2,11,1,9,1,17,2,16,1,11,1,12,2,11,2,17,1,12,1,9,1,17,1,11,1,10,1,9,1,12,1,17,1,12,1,17,1,11,1,12,1,17,1,11,1,17,18,11,1,17,2,10,1,17,50,11,1,17,1,12,1,11,1,12,1,9,1,13,4,7,1,6,1,8,1,9,1,13,1,8,1,13,3,6,1,29,1,6,3,30,1,28,1,6,2,13,3,6,1,29,1,28,2,29,1,13,2,9,1,8,1,9,1,11,2,16,1,11,2,5,51,30,1,28,12,6,1,12,1,17,2,9,1,8,1,10,1,6,1,7,3,6,1,29,1,13,1,24,1,10,1,16,1,24,1,28,6,30,1,13,1,6,1,30,2,28,29,13,1,14,2,9,1,6,1,13,1,24,1,14,1,12,2,24,1,13,1,28,2,}, {17,2,6,4,9,1,17,2,30,1,28,14,30,1,28,3,6,1,28,16,30,1,28,2,6,1,10,1,8,1,24,1,12,1,17,3,11,1,13,1,29,1,28,1,29,1,28,1,6,1,12,1,9,1,8,1,9,1,12,1,8,1,9,2,12,1,8,3,13,1,9,1,17,1,9,1,7,1,13,1,29,1,6,1,13,1,16,1,12,1,17,1,9,1,13,1,10,1,9,4,17,3,16,1,9,1,8,1,13,1,8,1,10,1,17,1,6,1,30,1,28,6,30,1,28,15,6,1,29,1,6,1,8,1,9,1,17,3,9,1,6,1,29,1,7,1,6,2,30,1,8,1,12,1,17,3,16,1,24,1,9,1,13,1,8,1,28,1,8,2,13,1,8,1,10,1,12,1,17,3,13,1,28,2,29,1,30,1,28,2,30,1,28,2,30,2,6,1,28,2,6,1,11,1,17,1,11,1,9,3,10,1,9,2,11,1,17,1,10,1,11,1,9,2,13,1,9,1,11,2,9,1,10,1,9,1,8,1,11,1,8,1,9,1,11,1,9,2,13,2,8,1,9,1,13,1,11,1,9,1,11,1,13,1,9,1,8,1,11,1,9,2,8,1,16,1,13,1,9,2,13,1,8,1,12,1,17,1,8,1,10,1,9,1,7,1,8,2,13,1,10,1,13,1,24,1,9,1,10,1,12,1,9,2,17,1,12,1,17,2,12,2,17,5,12,1,17,17,12,1,17,2,13,1,28,11,30,2,29,1,6,1,30,1,6,1,7,1,29,1,6,1,30,1,29,1,28,1,29,2,30,2,29,2,28,6,30,1,28,84,29,1,28,55,6,1,30,3,28,2,30,2,7,1,30,1,25,1,7,1,8,1,24,1,8,1,24,1,8,1,24,1,12,1,17,1,24,1,10,1,12,1,17,2,10,1,12,1,17,1,11,1,17,2,9,1,17,2,9,1,17,1,8,1,17,1,12,1,17,1,12,1,17,3,11,1,12,1,10,1,11,2,17,1,12,1,9,1,10,1,17,2,11,1,9,1,17,1,12,2,17,2,11,1,17,3,9,1,11,1,10,1,9,1,12,1,17,1,10,1,17,1,10,1,17,1,11,1,17,2,9,1,17,1,11,1,10,1,12,1,17,1,9,2,11,1,9,1,10,1,11,2,17,8,16,4,17,5,16,2,17,1,16,3,17,1,16,4,11,1,16,2,17,1,16,2,17,1,16,2,17,2,9,1,6,1,28,2,29,1,30,1,28,26,30,1,6,1,28,9,30,1,28,1,29,1,28,1,29,1,28,3,30,1,28,19,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,2,29,1,30,1,6,1,30,1,29,1,25,1,29,1,8,2,24,1,8,1,9,1,17,2,11,1,30,1,13,1,28,34,30,1,28,8,30,2,28,2,30,1,28,1,30,1,28,1,30,2,28,26,30,1,28,1,29,1,28,1,6,1,30,1,8,2,24,1,8,1,24,2,8,1,9,1,12,1,17,1,10,1,12,1,9,2,12,1,24,1,9,2,10,1,16,1,17,2,11,1,9,3,8,1,13,1,8,1,13,4,6,1,13,2,9,1,11,2,16,1,11,4,16,2,9,1,16,2,9,1,16,1,11,3,9,2,16,1,13,1,16,1,13,2,6,1,13,2,6,2,13,2,6,1,9,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,11,1,9,3,8,2,13,4,9,2,8,1,9,6,8,1,9,1,13,2,9,1,13,1,6,1,7,1,13,1,30,2,29,1,28,1,30,1,28,1,6,1,8,1,13,1,8,1,6,1,9,1,30,1,13,4,6,1,13,2,6,1,13,1,28,1,29,1,6,2,13,1,6,1,13,2,11,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,9,1,7,1,8,1,6,1,13,1,9,2,6,1,13,3,9,1,6,1,9,1,6,1,13,1,29,1,6,1,13,1,9,1,8,1,9,1,8,2,11,1,9,2,13,1,9,2,16,1,5,1,33,1,5,1,33,65,5,368,6,1,30,1,13,1,9,1,12,1,17,1,12,2,11,1,17,3,12,2,17,1,10,1,9,1,10,1,8,1,13,1,24,1,7,2,9,2,17,1,12,2,17,1,11,1,10,2,9,1,13,1,10,1,7,1,8,2,7,1,24,1,13,1,10,1,24,2,11,1,10,1,12,2,8,1,12,3,8,1,10,2,12,1,17,1,12,3,17,5,12,1,9,1,11,1,12,2,17,2,12,2,11,3,12,1,17,1,11,2,12,1,10,1,12,1,17,1,11,1,17,1,12,3,10,1,11,1,17,1,12,2,17,2,12,1,11,2,13,1,8,1,9,1,8,1,9,1,13,3,8,1,11,1,9,2,8,1,9,2,10,2,11,1,9,2,16,1,11,4,16,3,11,1,17,1,11,2,10,1,9,2,11,1,9,1,16,1,13,1,9,4,11,1,9,1,10,1,9,4,11,1,9,3,11,1,10,1,9,3,11,3,10,1,11,4,16,1,11,4,9,1,11,1,9,1,11,1,16,3,11,1,16,4,10,1,11,1,9,2,13,1,8,1,9,2,13,1,9,5,13,1,9,1,13,2,6,1,13,2,11,1,17,4,13,1,28,2,6,1,28,1,30,1,13,1,30,2,6,1,28,2,6,1,13,1,11,1,16,1,17,14,11,1,13,1,7,1,13,1,7,1,13,2,7,1,6,1,13,1,7,1,13,1,24,1,8,1,25,1,7,1,8,1,7,1,29,1,7,1,6,3,7,1,30,1,13,1,7,1,8,1,6,2,12,1,29,2,13,1,7,1,6,1,7,3,8,1,7,1,24,1,13,1,7,1,12,1,9,3,24,2,9,1,8,1,24,1,11,1,13,1,8,1,24,1,13,1,7,1,24,1,9,1,13,1,9,1,10,1,9,1,24,1,8,2,24,2,7,2,30,1,6,1,29,1,8,1,7,1,24,1,30,1,29,1,7,1,30,1,6,1,29,1,30,1,6,3,7,1,6,2,30,1,25,1,7,2,8,1,13,1,8,2,24,1,7,1,24,1,13,1,8,1,24,2,8,1,12,1,24,1,8,2,10,1,8,1,24,2,8,2,10,1,8,3,24,1,9,2,10,1,13,1,17,1,10,1,11,1,12,1,16,1,10,1,17,2,16,1,17,1,11,1,17,3,10,2,12,1,9,1,11,1,16,1,11,1,17,1,16,2,9,1,17,4,11,1,12,2,17,1,12,1,17,1,16,1,17,1,9,4,8,1,9,1,10,1,9,1,10,2,9,1,17,1,11,1,17,2,11,1,17,2,16,1,11,2,17,2,11,1,17,1,10,1,17,2,16,1,11,1,10,1,12,1,10,1,17,1,16,1,10,1,12,1,17,1,11,1,17,1,12,1,11,1,17,1,9,1,17,1,10,1,11,1,17,1,9,1,10,1,24,1,9,1,13,3,6,1,8,1,6,1,7,1,13,1,7,1,8,1,13,1,8,2,7,2,6,1,7,1,13,3,6,1,13,2,7,1,8,3,6,1,24,1,13,2,24,1,13,5,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,2,11,1,16,1,9,3,16,1,11,1,9,1,13,1,9,3,10,1,9,1,8,1,9,1,11,2,9,1,11,2,9,2,11,1,9,1,11,2,10,1,11,1,9,2,16,2,9,1,17,1,16,1,11,8,9,1,11,1,9,3,11,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,10,1,8,1,13,3,8,1,9,1,8,2,13,2,9,1,8,2,11,1,10,1,8,1,9,1,11,1,10,1,11,1,10,1,11,4,9,3,11,1,10,1,16,1,11,1,10,1,9,3,17,1,9,1,10,1,11,1,16,1,11,1,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,4,16,1,17,4,16,1,17,2,16,1,17,1,11,1,17,1,11,1,17,2,11,1,17,1,16,1,17,2,11,1,17,2,16,1,17,4,16,1,17,3,11,1,17,35,11,1,17,1,11,1,17,12,12,1,11,1,17,4,16,1,11,2,17,3,12,1,16,1,17,2,11,1,17,1,12,1,16,1,17,7,12,1,17,6,12,1,17,1,10,1,17,1,9,1,12,1,11,1,16,1,17,1,9,1,17,1,11,3,17,1,16,1,17,1,10,1,12,1,9,1,17,1,11,1,17,1,9,1,17,1,11,1,17,1,11,1,17,3,11,1,17,1,10,2,12,1,17,2,10,1,12,1,17,1,9,1,17,1,12,1,17,5,10,1,17,1,12,2,11,1,17,1,12,1,17,2,11,1,12,1,17,3,11,1,17,24,16,1,17,25,11,2,9,1,8,1,13,6,9,1,8,1,13,1,6,1,8,2,6,3,7,1,6,1,8,1,10,1,13,1,8,1,13,1,6,2,7,1,6,1,13,1,8,2,9,2,8,1,10,1,13,2,9,1,5,52,30,1,28,12,6,1,17,1,10,1,17,1,9,1,24,2,6,1,29,1,6,1,7,1,13,1,7,1,13,1,24,1,12,1,9,1,8,1,30,1,28,5,13,1,24,1,6,1,28,1,30,1,6,1,28,27,30,1,11,1,14,2,13,1,6,1,13,1,8,1,14,1,15,1,24,1,6,2,30,1,28,1,}, {11,1,24,1,9,1,29,1,6,1,30,1,24,1,17,2,6,1,28,7,7,1,6,1,28,5,30,1,28,1,30,1,28,3,30,1,6,1,28,13,29,1,6,2,7,1,13,1,24,2,12,1,17,1,15,2,10,1,13,1,6,2,30,1,28,1,13,1,10,1,9,1,8,1,9,1,24,1,9,1,8,1,24,1,8,1,13,1,9,1,13,2,12,1,17,1,9,1,13,1,29,1,6,2,13,1,11,1,12,2,10,1,8,1,24,1,8,1,9,1,8,1,9,1,10,1,17,2,12,1,10,1,8,1,9,1,12,1,17,1,16,1,9,1,6,2,28,21,6,2,13,1,11,1,8,1,9,1,17,2,10,1,6,1,13,1,6,1,29,1,30,1,6,1,8,1,17,1,16,1,12,2,11,2,9,1,13,2,7,1,29,1,13,1,8,1,10,1,12,1,17,4,6,2,28,2,30,3,28,2,30,1,28,2,29,1,28,3,9,1,11,1,9,1,17,2,9,1,12,1,9,2,10,1,11,2,8,1,11,1,9,3,13,1,9,2,10,1,9,2,11,1,8,1,13,3,8,1,13,1,10,1,9,1,10,1,11,1,9,3,13,1,9,1,8,1,13,1,9,1,11,2,13,1,11,1,30,1,6,1,9,2,16,1,12,1,24,1,9,1,8,1,17,1,12,1,8,1,9,1,24,1,10,2,24,1,10,1,24,1,17,1,12,2,9,1,17,2,12,1,17,22,12,1,17,1,12,1,17,2,30,1,28,13,6,1,28,1,7,1,29,1,28,1,30,1,6,1,7,1,28,1,30,2,28,1,29,1,30,2,28,3,30,1,28,2,30,1,28,26,30,1,28,59,30,1,28,51,30,1,28,1,30,1,29,2,28,1,30,2,6,3,30,1,24,1,6,1,8,1,6,1,24,2,8,1,9,1,24,1,9,2,12,1,17,1,12,2,17,1,10,1,17,1,9,1,12,1,17,1,12,1,11,1,17,1,10,1,12,2,24,1,17,1,12,2,17,1,9,1,10,1,17,2,12,1,11,1,17,1,12,1,11,1,17,2,11,1,12,1,17,2,12,1,17,1,10,1,17,1,12,1,17,2,10,1,12,1,17,3,11,1,17,1,11,1,17,2,12,1,11,1,17,1,9,1,17,1,10,1,12,1,17,1,9,1,11,1,12,2,10,1,9,1,12,1,10,1,12,1,11,1,12,1,17,1,12,1,11,1,17,5,16,1,11,1,16,1,17,2,16,4,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,9,17,1,16,1,17,3,9,1,6,1,28,2,30,1,28,2,30,1,28,26,7,1,28,32,30,1,28,13,30,2,28,1,30,1,28,1,29,1,6,1,26,1,25,2,6,2,24,2,12,2,10,1,17,1,9,1,13,1,28,36,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,2,28,4,30,1,28,1,29,1,28,27,30,3,6,1,13,1,8,1,6,1,8,1,13,2,24,1,8,1,10,1,8,1,24,1,9,1,24,1,9,1,24,1,12,1,13,1,12,1,9,1,10,1,12,1,17,2,9,1,11,1,9,1,8,2,13,2,8,1,13,5,9,1,13,1,9,1,13,1,9,1,8,1,9,2,11,2,9,1,11,1,9,1,10,1,9,2,11,1,16,4,8,1,9,2,13,1,9,3,13,3,28,1,13,5,8,1,13,4,9,2,13,1,11,1,9,1,8,1,13,1,8,2,9,2,8,1,11,1,9,3,8,2,9,1,13,1,9,3,8,1,13,3,11,1,6,2,13,2,30,1,6,1,13,1,28,1,8,1,13,1,6,2,13,1,6,1,7,1,13,4,6,1,13,1,28,1,13,1,6,2,13,1,6,1,13,1,9,1,13,2,9,1,7,1,6,1,30,1,13,1,6,1,29,1,9,1,13,1,6,3,13,2,10,1,8,2,9,1,7,1,8,1,30,1,28,1,13,3,6,1,9,1,13,3,10,1,13,1,9,2,11,1,13,1,9,2,11,2,9,1,5,3,33,64,5,368,28,1,7,1,8,1,12,2,11,1,12,1,9,1,12,1,9,1,10,1,12,1,10,1,12,2,11,1,12,1,8,3,29,1,24,1,9,2,17,1,12,1,10,1,9,1,12,1,10,1,24,3,8,1,24,1,13,2,24,1,7,1,13,1,10,1,24,1,9,1,24,1,10,1,24,1,10,1,12,1,17,1,10,1,24,1,9,1,13,1,10,2,12,2,17,8,9,1,8,2,10,1,17,1,12,3,11,1,9,1,12,1,17,3,12,5,17,1,12,1,17,1,11,1,12,1,11,1,12,1,17,5,12,1,11,1,17,1,13,2,8,1,13,2,7,1,8,1,13,1,11,1,9,1,8,1,9,1,16,1,9,1,11,1,9,1,11,1,9,3,10,1,11,1,16,1,11,2,16,1,11,3,17,1,9,1,11,1,16,1,11,1,9,1,17,1,8,1,11,1,9,1,11,1,10,1,11,1,9,3,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,3,16,1,11,2,10,1,16,1,9,1,11,1,16,1,17,1,11,1,16,1,17,1,11,2,9,1,11,2,9,1,10,2,11,2,17,1,11,1,16,1,11,1,16,3,11,1,9,2,8,3,9,4,8,1,9,1,16,1,13,1,7,1,30,1,13,1,30,1,6,1,13,1,9,1,16,1,14,1,17,2,16,1,13,1,28,2,6,3,13,1,28,1,13,1,30,2,28,1,6,1,13,1,11,1,16,1,17,15,11,1,8,1,13,1,8,1,7,1,6,1,8,4,7,2,6,1,7,1,25,1,29,1,13,1,7,2,6,1,29,1,7,1,30,1,28,1,30,1,29,1,8,2,24,1,13,1,7,1,13,1,7,1,8,1,13,1,6,1,13,1,6,1,8,1,13,2,6,1,7,2,24,2,9,1,8,1,10,1,24,1,10,1,8,1,9,2,8,1,9,1,12,1,9,2,10,1,8,1,10,1,24,3,7,1,8,1,13,1,6,1,8,1,6,1,7,1,30,1,29,1,6,1,17,1,30,1,6,4,13,1,6,1,7,2,6,1,29,1,7,2,6,1,7,1,6,1,7,1,8,1,7,1,8,1,7,1,8,1,24,1,6,1,17,1,25,1,8,1,24,1,13,1,24,3,8,2,12,1,8,1,10,1,24,3,8,2,24,1,10,1,13,1,9,2,12,1,17,1,9,1,12,1,8,1,9,1,12,1,17,1,12,1,17,4,16,1,17,2,12,1,17,1,16,1,10,1,17,2,9,1,17,1,12,1,11,2,17,1,12,1,9,1,12,1,17,1,12,1,17,1,11,1,10,1,12,2,17,1,11,1,9,1,17,1,8,1,9,1,17,1,9,1,17,1,11,1,9,1,16,1,10,1,17,1,16,1,17,1,12,1,11,1,17,2,16,2,11,1,16,2,17,2,9,1,11,1,17,2,11,1,16,1,12,1,10,1,17,1,9,1,17,2,16,1,17,1,10,1,17,1,9,2,17,2,11,1,9,1,10,1,12,1,10,1,8,1,13,1,8,3,6,1,13,2,8,1,7,1,24,1,8,1,13,2,8,1,13,1,8,2,7,1,8,1,6,1,13,3,7,1,8,2,7,1,6,1,13,4,8,2,13,2,8,2,7,1,8,2,9,1,13,1,10,1,9,2,13,1,8,1,11,1,10,1,11,1,9,1,10,1,9,1,8,2,9,3,11,1,9,5,11,1,9,1,11,1,9,1,11,2,9,1,11,3,16,5,11,2,17,1,16,1,10,1,11,2,9,1,10,2,8,1,11,1,9,5,6,1,13,3,8,3,13,1,9,1,13,2,8,1,13,1,9,2,13,1,8,1,11,1,8,2,9,2,10,1,9,1,11,1,10,1,9,2,11,2,9,1,11,4,8,1,9,1,13,2,9,1,8,1,10,2,11,3,17,1,16,2,17,9,11,1,17,3,11,1,17,1,16,1,11,2,17,5,11,3,17,1,11,1,17,3,11,1,17,1,16,1,11,1,17,3,11,1,17,3,11,1,17,1,11,2,17,1,11,3,17,1,16,1,11,2,17,1,11,1,16,2,17,2,12,1,17,16,11,1,17,5,12,1,17,11,11,1,17,2,11,2,17,6,12,1,17,1,16,1,17,2,12,1,17,2,12,1,17,2,11,1,9,2,11,1,17,3,12,2,17,3,11,1,17,2,12,1,17,1,11,1,17,1,12,2,11,1,17,1,11,4,10,2,17,1,10,1,12,1,17,1,9,1,17,1,9,1,24,1,12,1,17,1,9,1,12,3,11,2,9,1,12,1,9,1,11,1,17,4,12,1,17,1,10,1,17,7,12,1,17,2,11,1,17,1,12,3,11,1,17,2,10,1,9,1,12,1,17,21,16,1,17,30,9,2,13,1,8,1,13,1,8,2,7,1,13,1,9,1,8,1,13,3,8,1,9,1,24,1,8,3,9,2,8,2,13,3,9,1,8,3,9,2,13,1,5,55,28,13,13,1,17,2,12,1,24,1,9,1,8,2,13,1,7,1,6,2,7,1,13,1,9,1,10,1,9,2,28,6,13,1,8,1,6,1,28,2,30,2,28,27,9,1,17,1,9,1,13,1,29,1,13,1,9,1,17,1,12,1,10,1,6,1,29,1,28,2,}, {16,1,15,1,10,1,29,1,6,1,7,1,8,1,17,2,13,1,29,1,28,1,30,1,28,4,30,1,28,1,30,1,28,8,30,1,28,13,30,2,28,2,29,1,6,1,30,1,8,1,24,1,8,1,12,1,15,1,10,1,14,1,8,1,6,2,29,1,7,1,30,1,13,1,10,1,24,1,13,1,9,3,8,1,24,1,9,1,8,1,24,1,6,1,13,1,9,1,17,1,24,2,6,1,7,1,13,1,7,1,16,1,17,1,11,1,9,1,13,1,11,1,9,1,8,1,9,2,17,2,16,1,9,1,16,1,9,2,12,1,17,2,8,1,30,1,6,1,30,1,28,18,30,1,28,2,30,1,13,1,8,1,9,1,11,1,12,1,17,1,9,1,8,1,6,2,7,1,13,1,29,1,13,1,17,3,9,1,16,1,13,1,8,1,13,5,8,2,9,1,17,4,13,1,29,1,28,5,29,1,28,2,30,1,28,1,30,1,29,1,28,1,29,1,9,1,11,1,12,1,10,1,12,1,10,1,11,1,17,2,11,2,9,1,10,1,9,1,13,1,9,3,17,1,11,2,10,1,8,2,9,3,16,1,11,1,16,1,9,1,11,1,9,1,13,1,8,1,9,1,13,1,9,6,13,1,9,1,6,1,9,1,8,1,13,1,8,1,11,1,8,3,13,1,24,1,8,1,24,1,10,1,8,1,24,1,9,1,12,5,17,2,10,1,17,12,12,1,17,8,12,1,17,4,12,3,8,1,30,1,28,13,6,1,30,1,6,1,29,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,30,2,28,1,29,1,28,1,29,1,28,2,30,1,28,85,29,1,28,51,30,1,28,2,29,1,30,1,6,1,28,1,29,1,6,1,30,1,6,2,7,2,6,1,24,1,8,1,24,1,7,1,24,4,10,1,17,1,10,1,9,3,17,6,12,1,17,1,12,1,17,1,9,1,11,1,10,1,12,1,11,1,17,3,11,1,16,1,17,1,12,1,17,1,12,1,17,1,12,2,17,3,12,2,17,5,9,1,17,2,12,1,17,1,16,1,17,2,16,1,11,1,17,2,11,1,17,2,10,1,12,1,17,1,10,1,17,1,12,1,17,1,9,1,17,1,24,1,12,3,10,1,11,1,17,1,12,1,17,3,10,1,17,1,11,1,17,2,11,1,17,2,16,4,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,7,17,2,16,1,17,2,9,1,13,1,6,1,29,1,6,1,28,13,30,1,28,2,29,1,28,13,30,1,6,1,28,7,30,1,8,1,28,35,29,1,28,1,30,1,28,1,29,1,28,2,29,1,30,1,29,1,6,2,25,1,7,1,8,1,24,2,12,1,9,1,17,1,6,1,30,2,28,35,30,1,28,5,30,1,28,2,30,2,28,3,30,1,28,1,6,1,28,26,30,1,28,1,29,1,30,1,28,1,13,1,7,1,8,1,13,1,8,3,12,1,10,2,8,1,12,1,8,1,12,1,11,3,8,1,9,3,17,2,16,2,11,2,16,1,11,1,9,1,8,1,13,1,8,3,9,1,13,1,9,1,13,1,11,1,13,2,9,2,11,1,10,1,9,2,16,2,9,1,11,2,9,1,11,1,16,1,11,1,13,1,8,1,11,1,9,1,11,1,13,1,9,1,13,1,9,1,13,3,8,1,13,6,8,1,13,1,9,1,13,1,9,4,8,3,13,1,8,1,9,1,13,1,11,1,9,1,13,4,16,1,13,1,8,1,9,1,13,1,16,1,9,1,8,1,10,2,8,1,9,1,8,1,13,1,6,1,9,1,13,2,9,1,7,1,13,3,28,2,6,1,13,5,6,1,29,1,28,1,13,3,8,1,13,3,6,1,13,1,6,1,13,2,7,1,30,1,13,1,8,2,13,4,8,1,13,1,8,1,9,2,13,1,8,2,9,1,6,1,13,1,6,2,13,2,7,1,9,1,13,3,11,1,10,1,13,1,11,1,16,1,13,1,11,1,9,2,5,2,33,63,5,368,13,1,30,1,8,1,12,2,17,1,12,1,17,1,12,1,10,1,9,1,10,3,17,2,12,2,11,1,12,1,8,1,13,1,8,1,7,1,8,1,11,1,17,1,12,1,10,1,17,1,8,3,11,1,13,3,8,1,6,1,8,2,13,1,12,1,10,1,24,3,12,1,24,1,12,1,8,1,24,1,8,1,13,2,6,1,13,1,10,1,12,1,10,1,17,9,12,3,17,1,9,1,12,1,17,1,12,3,11,1,10,2,12,1,9,1,12,1,17,2,10,2,9,1,12,1,10,1,12,5,17,1,9,1,13,1,8,1,13,1,8,1,13,3,9,3,11,2,9,1,11,1,10,1,9,1,11,2,10,1,11,1,9,1,11,3,9,1,11,5,16,1,11,1,9,1,11,1,9,2,10,1,9,2,11,2,16,1,9,1,11,1,10,1,11,2,9,2,11,1,9,1,11,1,10,1,11,1,9,1,11,1,9,1,13,1,9,1,16,1,11,3,16,1,10,1,16,2,11,1,9,1,11,2,10,1,11,1,10,1,16,1,11,2,16,2,11,2,16,2,11,1,9,3,11,1,13,1,9,1,13,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,16,1,30,1,13,1,6,1,30,1,13,1,6,1,9,1,6,1,13,1,11,1,17,2,16,1,13,1,30,1,28,2,30,4,28,2,30,1,28,2,13,1,9,1,16,2,17,14,13,2,30,1,6,2,7,1,6,2,13,1,8,1,7,1,25,2,6,2,29,1,6,3,29,1,6,1,13,1,29,2,6,1,8,1,28,1,13,1,6,2,13,1,8,1,6,1,13,1,8,1,7,1,29,1,24,1,29,1,6,1,7,1,9,1,13,1,8,1,24,1,8,1,9,1,13,1,10,1,24,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,10,1,8,1,10,1,9,1,8,1,24,1,8,1,24,1,13,2,8,1,6,1,29,1,13,1,6,1,7,1,24,1,8,1,29,1,8,1,29,1,7,1,29,1,6,1,7,1,30,1,6,1,7,2,6,1,7,1,13,1,6,2,29,1,24,1,8,1,29,2,24,1,6,1,7,2,10,1,8,1,13,1,12,1,24,1,8,1,10,1,24,3,8,1,24,1,8,1,13,1,10,1,8,2,24,2,12,1,24,1,12,1,11,1,17,1,16,1,17,2,11,1,17,6,10,1,17,3,9,1,10,1,12,1,10,1,12,1,11,1,12,1,17,2,9,1,11,2,10,1,17,1,12,1,11,2,12,1,11,1,9,2,8,1,11,1,12,1,10,1,9,1,16,1,9,1,11,2,9,1,11,1,17,1,11,1,16,1,17,3,16,1,12,1,17,1,11,1,16,1,12,1,17,1,11,2,17,1,12,1,16,1,11,1,8,1,10,1,17,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,17,1,12,2,17,1,11,1,9,1,17,2,9,1,10,1,8,1,7,1,13,1,7,1,9,1,8,1,6,2,24,1,6,1,13,1,8,1,29,1,24,1,8,1,13,6,8,2,13,1,24,1,6,2,24,1,13,1,8,1,7,1,13,2,6,1,24,1,7,1,8,1,6,1,8,1,9,1,8,1,9,1,8,1,9,3,11,1,8,1,9,4,11,2,9,7,11,1,9,1,10,1,9,1,11,1,9,4,16,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,9,1,16,1,9,1,16,2,10,2,11,1,8,1,9,1,10,1,11,2,9,2,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,3,8,4,13,1,8,5,9,1,8,1,9,1,13,1,9,1,11,2,16,1,9,1,16,1,9,1,11,4,9,2,13,2,9,2,11,3,9,1,11,1,17,1,11,3,10,1,16,1,12,1,17,3,11,1,17,1,11,1,17,1,11,2,10,1,17,1,11,5,10,1,17,2,11,1,9,1,17,1,11,1,17,1,11,1,17,3,11,1,17,1,16,1,17,1,16,1,17,2,11,1,17,2,16,1,11,2,12,1,17,1,11,7,17,1,10,1,17,1,12,1,17,4,12,1,17,1,11,1,17,1,12,1,17,5,16,2,17,6,11,2,10,1,12,1,17,1,11,1,17,20,16,1,17,3,12,1,17,1,12,1,17,4,11,1,17,7,12,2,17,3,11,1,12,1,17,2,11,1,9,1,12,1,17,1,11,1,9,1,17,1,12,3,17,1,9,1,17,1,12,1,10,1,9,1,17,1,10,1,11,2,9,1,11,1,12,1,17,1,10,2,17,1,10,1,17,4,9,1,17,3,9,1,12,1,10,1,17,1,11,2,17,3,12,1,17,3,9,1,17,1,12,1,10,1,17,1,12,1,17,2,9,1,17,27,11,1,17,19,16,1,17,8,11,1,9,2,13,1,7,1,13,3,6,1,13,3,8,1,13,1,9,1,8,1,9,1,11,1,12,1,10,1,11,1,9,1,11,1,8,1,9,1,13,1,9,1,10,1,9,3,5,56,28,13,9,1,17,2,12,1,9,1,7,2,24,1,6,2,13,1,8,1,6,1,13,2,9,3,28,5,30,1,8,1,24,1,6,1,28,31,15,1,14,1,15,1,9,1,13,1,6,1,12,1,17,1,10,1,8,1,13,1,7,1,30,1,28,1,}, {24,1,9,1,24,1,13,1,6,1,29,1,8,1,17,2,13,1,28,4,30,1,28,3,6,1,28,6,30,1,28,6,30,1,28,6,30,1,28,3,30,1,29,1,28,1,29,1,30,1,6,1,9,1,13,1,8,1,12,1,15,2,14,1,8,1,7,2,30,1,7,1,28,1,29,1,17,1,12,1,13,1,8,1,24,1,10,1,24,1,13,2,9,1,8,1,6,1,13,1,10,1,17,1,9,1,6,1,13,4,10,1,9,1,12,1,9,1,13,1,9,2,8,1,12,1,17,4,10,1,11,1,9,2,11,1,17,2,10,1,28,1,29,1,28,20,30,1,6,1,13,1,6,1,8,1,9,1,24,1,17,2,11,1,30,1,28,1,6,1,30,2,6,1,30,1,17,1,10,1,17,3,9,1,24,1,9,1,7,1,13,1,6,1,13,1,7,1,24,2,11,1,17,3,8,1,30,2,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,2,29,1,30,1,28,1,6,1,10,1,11,2,12,1,11,3,10,1,9,2,11,1,10,1,9,1,11,5,9,3,13,1,9,1,16,1,11,1,16,1,17,1,16,2,9,2,13,1,8,1,6,1,13,1,9,1,13,1,11,1,13,1,8,1,9,1,13,1,6,1,13,2,8,1,13,1,8,1,13,1,9,1,10,1,13,1,29,1,6,1,29,1,13,1,8,1,12,1,24,1,13,1,24,1,10,1,24,1,17,1,12,1,24,1,17,5,12,1,17,1,12,1,17,6,12,1,17,6,12,1,17,6,12,2,17,1,12,1,17,1,9,1,28,13,30,1,28,1,30,2,7,1,28,1,29,5,28,1,30,1,29,2,30,2,28,84,29,1,28,8,30,1,28,50,30,1,29,2,30,1,29,1,30,1,29,1,7,1,29,1,8,2,7,3,8,1,13,1,24,2,9,1,10,1,12,1,10,2,12,2,9,1,17,1,12,1,17,2,12,1,11,1,17,3,24,1,12,1,17,1,11,2,17,2,11,1,17,2,12,1,16,1,12,1,16,1,17,1,10,1,16,1,10,1,12,1,10,1,17,2,12,1,17,1,12,3,17,5,11,2,12,1,11,3,17,1,11,1,12,1,10,1,17,1,10,1,17,1,11,2,24,1,12,1,9,1,24,2,12,2,17,1,12,1,17,2,12,2,17,1,8,1,17,1,12,1,17,1,16,1,17,1,16,2,17,1,11,1,17,1,16,3,11,1,16,1,17,2,16,2,17,13,8,2,28,1,30,1,28,1,30,1,6,1,28,2,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,11,30,1,29,1,28,5,30,1,28,33,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,2,6,1,28,1,26,1,8,1,29,1,6,1,25,1,24,1,8,2,12,1,17,2,9,1,28,1,30,2,28,38,30,1,28,5,29,1,28,1,29,1,28,1,29,1,7,1,28,31,6,1,30,1,7,1,29,1,8,1,13,1,24,1,10,2,24,2,12,1,10,1,17,1,10,2,24,1,11,1,9,1,10,1,24,1,11,1,10,1,17,1,16,1,11,3,16,1,11,1,9,1,13,1,8,2,13,1,9,1,13,3,9,2,13,1,9,2,13,1,9,1,17,1,10,1,9,4,11,2,9,5,16,1,9,2,13,1,8,2,13,1,8,1,13,1,9,2,8,1,13,1,7,1,13,4,8,1,13,2,8,1,9,1,13,1,11,1,16,1,13,1,9,1,8,1,11,1,13,1,16,1,9,1,13,1,9,3,16,1,11,1,16,1,10,1,9,2,11,1,9,1,11,2,16,1,10,1,9,2,6,1,8,1,9,1,6,1,9,1,8,2,9,1,8,1,9,1,8,1,9,1,13,3,30,1,7,1,13,2,30,1,6,1,13,1,6,1,13,1,6,1,13,2,8,1,13,2,6,1,13,1,30,1,13,1,29,1,13,1,6,1,30,2,13,1,8,1,13,3,30,1,6,1,7,1,13,1,11,1,9,1,13,1,11,1,9,1,7,1,8,2,6,2,13,3,8,1,13,1,9,2,13,1,16,1,13,1,16,1,9,4,10,1,9,1,5,2,33,63,5,367,28,1,13,1,10,2,17,3,12,2,10,2,12,1,11,2,12,2,10,1,8,1,24,1,8,3,13,1,24,1,13,1,12,2,11,1,9,1,12,1,24,1,8,1,24,4,8,1,7,2,8,3,9,1,10,1,12,1,11,1,12,2,8,1,9,1,8,3,13,1,24,1,8,1,7,1,12,1,8,1,17,8,12,1,10,1,9,1,8,1,11,2,12,1,17,4,11,1,17,1,12,1,17,1,10,1,9,1,17,1,12,1,11,1,10,1,12,6,11,1,12,2,9,1,12,1,28,1,30,1,13,1,7,1,11,1,9,2,11,1,9,1,10,2,11,4,16,1,11,1,16,1,11,1,9,1,16,1,11,3,9,1,11,1,16,1,11,3,16,4,11,1,9,1,11,1,16,1,11,2,9,1,11,1,16,1,9,2,11,1,17,1,9,1,10,2,11,1,10,1,11,1,9,5,16,1,11,1,9,1,17,1,11,1,16,1,10,2,11,1,16,1,9,1,11,1,9,1,11,4,16,3,11,1,16,1,17,1,16,2,9,1,11,1,13,1,9,1,13,2,8,1,13,1,9,3,8,1,9,4,6,1,13,2,6,2,13,2,9,1,13,1,16,1,17,2,16,1,6,1,30,1,6,1,28,1,6,2,30,1,28,4,6,1,28,1,6,1,9,1,16,1,17,14,10,1,30,1,6,2,13,1,7,1,13,1,6,1,7,1,13,1,7,1,26,2,8,1,6,2,29,1,30,1,6,7,8,1,29,1,8,1,7,1,13,1,29,1,7,1,6,1,7,1,6,1,30,1,29,1,13,1,6,1,7,1,8,1,7,1,8,1,24,1,10,1,13,1,9,1,8,1,17,1,10,1,8,1,13,1,9,1,8,1,10,1,12,1,24,1,9,1,24,1,8,1,9,1,10,1,9,1,12,1,24,1,13,1,9,1,13,1,7,1,13,1,8,2,6,1,8,1,30,1,6,1,7,1,6,2,30,1,7,1,29,1,7,2,6,1,29,2,6,1,7,1,8,1,6,1,7,2,6,1,8,2,6,1,8,1,7,2,8,4,24,1,13,1,8,2,24,1,8,4,10,1,8,2,10,2,24,1,8,1,17,1,9,1,12,1,9,2,11,1,16,1,17,7,12,1,17,2,10,1,12,1,16,1,10,1,11,2,12,3,16,1,17,1,16,2,17,1,9,1,17,2,12,1,9,1,11,1,10,1,11,1,12,1,9,6,10,1,11,1,8,1,11,2,12,2,11,1,17,2,11,1,17,3,16,1,17,4,12,1,17,1,11,1,17,3,9,1,11,1,17,1,9,1,16,2,11,1,17,1,11,1,17,2,11,1,10,1,11,1,9,1,11,1,12,1,11,1,10,1,9,1,11,1,13,1,8,2,7,1,24,1,9,1,7,1,8,1,9,1,13,1,7,1,8,1,9,1,24,1,13,4,8,1,7,3,13,1,8,2,13,2,6,1,24,1,13,1,8,2,13,3,7,1,13,1,8,1,13,1,8,1,13,1,24,1,8,1,9,1,8,1,9,6,10,1,8,1,9,3,8,1,9,6,11,1,8,1,9,1,8,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,11,5,16,1,17,1,11,5,10,1,11,5,9,5,8,1,13,1,8,2,9,3,8,1,13,1,8,2,9,1,13,1,8,2,13,1,8,2,9,5,13,1,9,2,11,2,9,1,11,1,9,1,11,1,16,2,11,3,8,2,9,6,11,1,12,1,9,1,11,3,10,1,11,3,17,4,11,1,12,1,11,1,17,1,11,3,10,1,17,1,11,1,10,1,11,1,10,1,11,4,17,1,11,1,17,1,11,2,17,1,10,1,17,2,11,1,17,4,11,1,17,3,11,1,12,1,17,1,12,1,11,8,17,2,11,1,17,1,12,1,17,3,12,1,17,1,11,1,17,3,11,1,16,1,11,1,16,1,17,4,16,1,17,1,11,1,17,3,16,1,17,2,11,1,17,1,12,1,17,1,10,1,17,13,12,1,17,1,11,1,17,8,11,1,17,1,11,1,12,1,17,2,12,2,10,1,9,2,17,1,11,1,12,1,17,2,11,1,17,2,12,1,11,1,9,1,11,2,9,1,10,1,12,1,9,2,12,4,17,1,9,1,11,1,10,2,12,1,17,1,24,1,12,1,10,1,11,1,10,1,9,1,17,1,12,2,10,1,12,2,11,1,17,1,12,1,9,1,12,1,10,1,12,1,8,1,17,1,12,1,11,3,17,2,12,1,17,2,11,1,17,1,10,1,17,3,11,1,17,1,10,1,17,22,11,1,17,1,11,1,17,1,11,3,17,18,11,1,17,6,11,1,16,1,11,1,9,1,13,6,8,1,11,1,8,1,9,1,10,1,11,1,9,1,8,1,11,2,9,2,11,2,9,4,5,58,28,13,9,1,17,2,10,1,24,1,8,1,13,1,8,1,29,1,13,2,7,1,29,1,8,1,13,1,12,1,10,1,13,1,28,6,14,1,13,1,29,1,28,30,29,1,16,1,14,1,10,2,13,1,8,1,24,1,17,2,13,1,6,1,29,1,28,2,}, {8,1,24,1,8,1,6,2,7,2,17,2,13,1,30,1,28,5,30,2,28,1,30,1,28,6,30,1,28,1,6,1,28,16,6,1,28,1,6,1,13,1,24,3,10,1,8,1,10,1,12,1,9,1,13,1,29,1,6,1,29,2,7,1,24,1,8,1,9,1,24,2,10,1,24,1,8,3,13,3,9,1,17,1,9,1,8,2,13,1,7,1,8,1,9,1,17,1,12,1,11,2,12,1,10,1,11,2,9,1,17,2,12,1,17,1,9,2,11,2,17,1,14,1,8,1,30,1,28,2,29,1,28,20,29,1,6,1,9,1,8,2,10,1,17,1,12,1,13,1,6,2,13,1,7,1,13,1,6,1,17,6,24,1,9,1,13,1,7,1,6,1,13,1,7,1,13,1,24,1,17,4,8,1,30,1,6,1,30,2,6,1,28,7,6,1,28,1,13,1,10,2,11,1,12,1,11,3,10,1,9,2,11,1,16,1,12,2,11,1,17,1,16,1,11,1,9,2,16,1,11,1,17,1,11,1,16,1,9,1,13,1,10,1,9,3,8,1,13,3,9,3,8,2,13,1,8,1,9,3,13,1,8,1,13,1,9,1,13,1,11,1,9,1,30,3,6,1,8,3,24,1,12,3,10,1,24,1,17,2,10,1,17,7,12,1,17,9,12,1,17,11,12,1,17,1,8,1,28,14,30,1,28,1,29,2,28,1,29,2,28,1,30,1,28,1,30,2,28,89,30,1,28,55,30,3,6,1,28,1,30,1,28,1,6,1,28,1,29,2,28,1,6,1,29,1,13,2,7,1,24,3,10,1,9,2,24,1,12,2,17,1,12,1,24,1,17,3,12,1,17,1,10,1,9,1,17,3,24,1,17,1,12,2,17,2,11,1,17,3,16,1,11,1,17,1,12,1,17,1,9,1,17,1,12,2,11,1,17,1,12,1,17,7,10,1,9,1,11,1,12,1,11,2,17,1,16,1,17,4,12,1,9,1,17,1,12,1,17,1,10,1,17,1,9,2,10,1,9,1,17,1,12,2,10,1,12,1,9,1,12,1,24,1,9,1,17,1,9,1,10,1,12,1,17,1,9,2,12,1,11,3,16,1,17,1,16,2,17,1,16,2,17,1,16,3,17,8,9,1,6,1,7,1,30,2,29,1,30,1,29,1,28,1,30,1,29,1,28,1,30,2,28,1,29,1,28,3,30,1,28,18,30,1,29,1,28,34,30,1,28,4,30,1,28,1,30,1,28,7,30,3,28,1,30,1,28,1,25,2,8,1,10,1,24,1,17,3,8,1,28,1,30,2,28,35,30,1,28,4,6,1,28,3,30,1,28,3,30,2,28,29,30,1,28,1,13,2,6,1,13,2,24,2,8,1,9,1,12,1,9,1,24,1,9,1,12,1,9,3,10,1,8,1,11,1,9,1,8,1,12,1,17,1,9,1,11,2,16,1,17,1,11,3,9,4,8,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,4,13,2,9,1,11,2,16,1,11,2,13,1,11,4,13,1,9,1,16,1,9,3,13,3,8,1,13,3,6,2,9,1,13,2,9,1,13,1,9,2,8,1,9,1,13,1,8,1,9,1,13,1,9,2,13,1,9,1,11,1,13,1,16,2,13,1,9,2,13,1,9,1,8,1,13,1,8,1,9,2,13,1,16,1,8,1,13,3,9,1,11,1,13,3,9,3,13,1,30,1,13,2,30,1,13,3,6,2,13,1,6,1,13,4,30,1,6,1,13,1,6,1,30,1,6,1,28,1,13,1,6,1,13,4,8,1,9,1,13,1,6,1,13,1,6,1,13,1,6,1,8,1,16,1,9,1,8,1,9,1,13,1,8,1,13,7,6,1,9,3,11,1,9,1,11,3,9,1,11,1,9,1,13,1,33,1,5,1,33,61,5,368,30,1,13,1,10,1,12,1,17,1,10,2,12,1,10,1,9,1,24,1,10,1,9,2,12,1,17,2,11,1,10,1,13,1,8,1,13,1,8,2,9,1,17,1,12,1,10,1,9,1,17,1,10,2,24,1,10,1,24,1,13,1,10,1,13,1,24,1,13,1,8,1,24,1,11,1,12,3,9,1,8,1,7,1,24,1,13,1,8,1,7,2,9,1,13,1,7,1,8,1,10,1,12,2,17,5,12,1,10,1,11,1,9,1,11,3,12,2,10,1,9,1,17,1,12,1,17,1,12,1,10,1,9,1,10,1,9,1,10,1,11,1,12,2,10,2,12,1,11,5,12,1,13,2,8,1,10,1,9,1,11,1,10,1,9,1,11,1,10,2,11,2,16,2,11,3,10,2,16,2,11,2,10,1,11,2,9,1,11,5,16,1,11,2,9,1,11,3,9,1,11,3,9,1,11,2,16,1,9,1,10,1,16,1,9,2,16,1,11,1,9,2,16,1,11,4,10,1,11,2,16,2,17,1,9,2,11,2,9,1,11,1,16,5,11,1,16,1,11,1,9,3,8,1,9,1,13,1,9,1,8,2,9,1,13,1,8,2,9,1,8,1,9,3,6,1,13,1,6,1,13,3,9,1,13,1,16,2,17,2,9,1,13,1,6,1,28,2,13,1,28,1,30,3,28,1,30,2,6,1,13,1,16,3,17,13,9,1,13,1,6,3,29,2,7,1,29,1,25,3,6,3,7,1,29,1,30,1,29,1,13,1,29,1,7,2,6,1,29,1,7,1,13,2,29,1,7,1,13,1,6,2,8,1,29,1,7,1,6,1,28,1,13,1,6,1,13,1,8,1,7,1,13,2,10,1,13,1,8,1,10,1,24,2,11,1,24,1,10,1,24,1,9,1,10,1,9,1,12,2,13,1,9,1,24,1,10,1,13,1,9,1,8,2,13,1,8,1,7,2,13,2,8,1,10,1,8,1,6,1,8,1,29,1,6,3,8,1,7,1,6,1,7,1,29,1,6,1,7,2,6,1,7,1,8,1,13,2,7,1,6,1,13,1,6,2,13,1,24,2,9,1,24,3,8,2,13,1,24,1,8,2,10,1,17,1,24,1,9,3,11,1,16,1,17,1,11,1,17,5,16,1,17,2,16,1,11,1,16,1,11,1,17,1,16,1,17,1,11,1,17,2,10,1,9,1,12,1,17,1,10,1,17,1,12,4,10,1,11,1,12,2,10,2,9,2,17,1,9,1,10,1,12,1,11,1,16,1,10,1,9,1,12,1,17,1,10,1,16,1,10,1,17,1,11,1,10,1,11,1,12,1,17,1,16,1,10,1,12,1,17,1,11,1,17,2,16,1,17,1,12,1,17,1,10,1,12,2,9,1,8,1,16,1,12,1,9,2,10,1,11,2,17,1,10,1,17,1,9,1,17,1,11,1,9,1,17,1,12,1,9,1,8,1,13,1,24,1,13,1,8,1,13,1,8,1,24,1,7,1,8,1,6,1,13,1,7,1,8,1,6,1,13,1,6,2,24,1,7,1,13,1,8,3,13,1,8,1,13,1,8,1,13,1,7,1,8,2,13,1,7,1,13,1,8,1,24,1,7,1,13,1,8,1,13,4,7,1,8,2,9,1,10,1,8,1,11,1,9,2,10,1,8,1,9,1,8,1,9,3,10,1,11,1,9,1,11,1,9,1,11,2,9,2,16,1,9,1,11,1,10,1,16,3,11,5,16,1,11,1,16,1,11,1,9,5,16,1,10,1,9,7,8,1,9,1,13,1,9,1,8,1,13,2,9,2,13,1,9,2,8,1,9,1,13,1,10,1,8,1,9,4,11,1,9,2,11,2,9,1,16,1,11,2,16,1,11,3,9,1,13,1,9,1,10,1,9,1,11,1,9,1,10,2,11,2,10,1,11,1,10,1,11,6,9,1,17,1,11,2,17,1,11,1,17,1,11,1,12,1,11,1,12,1,10,2,11,2,10,1,11,1,9,1,11,4,16,1,11,2,17,6,12,1,17,3,11,4,17,1,11,2,12,1,11,4,12,2,11,1,17,2,11,2,9,1,11,1,12,1,17,2,11,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,17,5,16,1,11,2,16,1,17,2,11,1,10,1,12,2,11,1,17,1,11,1,17,12,11,1,17,1,11,2,17,5,11,4,17,4,10,2,17,1,9,1,17,1,11,1,17,1,9,1,10,1,17,1,11,1,12,1,11,1,17,1,12,1,17,1,12,1,17,2,9,1,17,4,12,2,10,1,12,1,10,1,12,1,11,2,9,2,10,2,17,1,12,1,11,1,12,1,10,1,17,1,10,1,17,1,12,2,17,1,11,1,12,2,11,1,17,2,12,1,8,1,9,1,12,1,9,1,17,1,12,1,9,1,11,1,17,1,11,1,17,3,12,1,17,3,10,1,11,2,17,11,12,1,17,4,16,1,17,12,11,1,17,10,16,1,17,16,11,1,17,1,11,1,9,2,8,1,10,1,9,3,11,1,17,1,11,1,9,1,6,1,13,1,11,1,9,1,11,1,9,2,11,1,9,1,13,1,5,59,28,13,8,1,17,2,11,1,7,1,13,1,24,1,13,1,8,1,13,1,8,1,7,1,8,1,13,1,24,2,8,1,7,1,28,6,11,1,24,1,6,1,28,3,30,1,28,26,30,1,14,2,16,1,9,2,8,1,12,1,17,1,10,1,9,1,7,1,30,2,28,1,}, {9,1,24,2,29,1,6,1,13,1,9,1,17,2,13,1,28,9,6,1,28,6,29,1,28,1,30,1,28,14,30,1,28,1,30,2,6,1,7,2,8,1,9,2,24,1,14,2,11,1,28,1,6,2,30,3,24,1,9,1,24,1,13,1,24,1,8,2,13,1,24,1,6,1,8,2,13,1,17,1,24,1,13,1,8,1,7,1,8,2,13,1,10,1,17,2,12,1,11,1,12,1,17,1,10,1,17,1,12,1,17,3,9,1,12,1,16,1,9,2,17,1,14,1,10,1,6,1,28,2,30,1,28,17,30,2,28,2,13,2,8,1,9,1,17,2,10,1,13,1,6,1,29,1,13,1,29,1,13,1,6,1,9,1,12,1,17,4,9,1,8,1,6,1,13,1,6,1,7,1,6,1,9,2,12,1,17,1,14,1,16,1,8,1,30,1,28,1,30,2,6,1,28,1,30,1,28,4,30,1,7,1,28,1,30,1,9,1,17,1,12,1,10,1,11,1,9,1,11,2,12,1,9,1,11,1,17,1,9,1,11,1,9,1,16,1,12,1,9,1,16,1,17,1,9,1,16,1,11,1,13,1,9,1,13,2,9,2,13,1,9,1,8,1,9,1,13,1,9,1,13,1,8,2,13,1,8,1,9,1,13,1,9,1,13,4,9,2,10,1,9,1,13,1,6,1,30,1,29,2,8,1,24,1,12,3,9,1,12,2,17,1,12,2,17,1,12,1,17,1,12,1,17,2,12,1,17,21,12,1,17,1,12,1,16,1,12,1,30,1,28,15,29,1,28,2,29,3,30,1,6,1,28,2,30,1,28,5,30,2,28,129,30,1,28,8,30,2,29,1,28,1,7,1,30,2,6,2,29,2,6,1,7,1,13,2,8,1,7,1,24,2,8,1,10,1,24,1,12,1,10,1,9,1,17,1,12,1,17,1,12,2,9,1,17,2,12,1,17,2,12,1,17,2,9,1,17,2,12,1,17,5,16,1,17,1,16,1,12,1,17,1,11,1,17,1,12,1,17,2,10,1,12,2,17,5,12,1,16,1,17,2,9,1,17,1,11,1,17,2,9,1,17,4,12,1,11,1,8,1,10,2,11,2,12,1,17,1,24,1,12,1,24,1,9,1,12,2,11,1,17,1,9,1,10,1,12,1,17,1,10,1,9,6,11,1,17,1,16,3,11,1,16,1,17,1,16,1,17,10,6,2,29,1,6,1,28,1,29,1,28,1,30,1,28,5,30,2,28,26,6,1,30,1,29,1,28,42,30,1,28,2,30,2,29,1,28,1,7,1,28,1,6,1,25,1,6,1,7,1,8,2,10,1,12,2,17,1,6,1,30,1,28,36,30,2,28,1,30,1,28,2,30,2,28,3,29,1,28,2,30,1,6,1,28,27,30,1,28,1,29,1,6,2,7,1,8,1,7,2,24,1,13,1,10,1,24,2,9,1,12,1,11,1,9,2,12,1,8,1,24,1,12,1,9,1,10,1,9,1,17,1,11,1,10,1,11,2,9,2,11,1,9,2,13,1,9,3,13,3,10,1,9,4,13,1,9,3,13,1,9,1,8,1,9,1,8,1,13,1,8,1,16,3,11,1,9,1,11,2,9,1,8,1,9,4,8,1,16,1,9,2,13,2,9,1,13,2,9,2,8,1,13,1,9,1,13,1,11,1,9,1,8,1,9,1,13,1,8,1,13,2,8,1,9,1,13,1,16,1,9,2,11,2,9,3,8,1,13,1,9,3,8,1,11,1,9,4,8,1,9,3,13,3,6,1,29,1,9,1,13,1,9,2,13,1,8,2,6,1,13,4,6,1,7,1,13,1,6,1,13,1,6,1,29,1,6,2,13,3,9,1,8,1,13,3,8,1,13,1,8,2,16,1,9,1,13,2,9,1,8,2,9,1,11,1,8,1,9,2,8,1,6,1,13,1,8,1,13,1,6,1,8,1,13,1,8,4,10,1,9,5,13,1,9,1,13,1,33,2,5,1,33,60,5,367,28,1,7,1,9,1,11,1,10,2,9,1,12,1,24,1,12,1,10,1,9,2,10,2,12,1,9,1,10,1,9,1,10,2,8,2,11,1,13,1,10,1,17,2,10,1,12,1,10,1,12,2,10,1,12,1,10,1,12,1,8,1,9,1,8,1,13,1,8,1,24,1,12,2,10,1,9,1,8,2,13,1,24,2,7,1,13,3,8,2,24,2,8,1,17,7,12,1,10,2,12,4,11,2,12,2,17,1,12,1,11,1,12,1,11,1,12,1,9,1,12,2,10,1,11,2,17,1,11,3,9,1,11,2,13,2,9,1,16,1,11,2,9,1,11,2,10,1,11,1,10,1,9,1,10,1,11,1,10,1,11,3,9,1,11,1,9,1,16,1,11,3,16,1,11,1,16,2,11,2,16,1,11,3,9,1,16,1,11,1,9,2,11,1,10,1,11,3,9,1,11,1,16,1,11,2,17,1,11,1,16,1,10,1,11,1,9,3,16,1,9,1,11,2,10,1,17,1,11,6,16,1,9,1,11,2,9,1,16,1,11,1,16,4,9,4,13,1,9,2,7,1,9,1,13,2,8,1,13,1,9,2,8,1,13,1,16,1,9,1,13,7,9,2,16,1,17,2,9,1,8,1,6,1,30,1,28,1,30,2,28,1,6,1,30,1,28,1,30,1,6,1,30,1,13,1,11,1,16,1,17,14,11,1,29,1,6,3,29,1,7,1,6,1,25,1,6,1,25,1,6,1,25,1,6,1,7,1,30,1,13,1,6,1,29,1,7,1,29,1,6,1,13,1,6,1,7,1,8,1,30,1,29,1,7,1,8,1,7,2,24,1,7,1,8,1,7,2,13,1,6,1,7,1,6,1,8,1,7,2,12,1,8,2,10,1,24,1,10,2,13,1,10,1,9,1,10,1,12,2,9,1,24,1,8,1,9,1,13,1,12,1,10,1,24,3,10,1,24,1,7,1,13,3,24,1,12,1,24,1,6,1,7,1,8,2,7,2,8,1,6,1,7,1,29,1,13,1,7,1,6,1,13,1,7,1,29,1,7,1,13,1,29,1,30,1,6,1,7,1,8,3,13,1,8,1,24,1,7,1,24,1,7,1,24,1,9,1,13,1,24,1,8,2,10,1,11,1,9,2,17,1,12,1,17,5,16,2,17,1,11,1,17,2,16,1,10,1,16,1,17,1,12,1,11,2,17,1,9,1,17,1,10,1,11,1,16,1,17,2,16,1,17,1,10,1,17,1,11,1,9,2,17,1,12,2,11,1,10,1,12,1,11,1,17,1,11,1,8,1,9,1,8,1,9,1,16,1,12,1,9,1,11,1,12,1,16,2,17,1,10,1,17,1,12,1,10,1,16,1,11,1,16,1,17,1,12,1,17,3,9,1,11,1,9,1,17,2,16,1,9,1,11,1,17,1,9,2,11,1,17,4,11,1,10,1,17,2,12,1,8,1,9,2,17,1,8,2,13,1,8,2,13,1,7,2,8,1,6,1,8,2,13,1,7,1,13,1,29,1,13,1,6,1,7,1,13,2,7,1,13,1,6,2,13,1,7,1,13,1,8,1,13,1,8,2,6,1,8,1,7,2,8,2,24,1,8,1,13,1,24,1,9,1,8,1,7,1,8,4,12,1,9,3,10,1,9,1,8,2,9,2,8,1,9,1,10,2,9,4,11,4,9,1,16,1,11,1,16,2,11,1,16,3,11,2,9,3,16,1,9,1,11,1,9,1,11,1,16,1,11,1,9,2,11,1,9,1,13,1,9,2,8,2,13,1,9,3,8,1,13,1,10,1,9,1,13,1,8,1,13,2,9,1,10,1,9,1,11,1,10,1,9,2,10,1,9,1,11,1,9,2,16,1,17,1,16,2,11,1,17,1,9,1,10,1,9,4,8,2,9,4,11,1,17,1,9,1,11,1,12,1,17,1,11,2,10,1,9,1,10,1,11,1,12,1,11,1,12,1,11,1,17,4,11,1,17,1,11,1,12,1,11,3,9,1,11,5,17,1,11,1,12,1,11,1,12,1,17,4,11,2,17,1,11,7,9,1,11,3,9,1,17,1,11,1,12,1,17,4,11,2,17,1,11,1,17,3,11,1,10,1,17,1,11,2,17,1,16,1,17,4,16,3,17,2,16,1,17,1,11,4,17,1,12,1,17,1,11,1,17,13,12,1,11,1,17,3,11,1,9,1,16,1,9,2,17,10,12,2,17,1,12,1,17,1,9,1,17,2,9,1,11,2,12,1,17,1,10,1,12,2,17,1,12,1,17,1,12,1,9,1,10,1,12,1,10,1,9,1,17,1,9,1,10,1,9,1,10,2,17,1,12,2,9,1,10,3,12,1,17,1,11,1,12,1,11,1,17,1,9,1,12,1,17,1,12,2,17,1,11,1,10,1,12,1,8,1,12,1,17,1,11,1,12,1,11,1,17,2,9,1,17,10,9,1,17,4,16,1,17,4,11,1,17,4,11,1,17,34,12,2,17,4,16,1,11,2,16,1,11,3,9,1,16,1,11,2,17,2,16,1,9,1,13,1,9,1,16,1,5,63,28,13,24,1,17,2,8,1,7,1,12,1,8,1,24,1,6,1,13,1,6,1,29,1,8,1,9,2,10,1,9,1,13,1,28,6,8,1,9,1,7,1,28,1,29,2,28,28,17,1,10,1,16,1,9,1,11,1,8,1,12,1,17,2,24,1,8,1,6,1,28,2,}, {9,1,8,4,10,1,13,1,17,2,9,1,28,7,30,1,28,1,29,1,28,4,6,1,28,2,30,1,28,17,30,4,7,1,24,1,13,1,8,1,12,1,14,2,15,1,7,1,29,1,6,3,29,1,8,1,24,2,8,2,24,2,8,3,13,2,29,1,9,1,17,1,8,3,7,1,13,2,11,1,17,3,10,2,17,1,9,1,11,1,9,1,17,3,11,1,16,1,10,1,11,1,16,1,17,2,9,1,6,1,28,4,6,1,28,17,30,1,13,2,8,1,10,1,24,1,12,1,17,1,16,1,7,2,29,1,7,1,6,2,13,1,9,1,17,4,10,1,9,1,8,1,6,2,13,1,8,1,9,4,17,3,13,1,29,1,28,1,7,3,28,10,9,1,11,1,17,1,11,1,12,1,17,1,11,1,12,1,11,1,16,1,11,2,9,2,16,1,11,2,9,2,11,1,9,2,13,1,9,1,11,1,9,1,13,1,11,1,9,1,11,1,9,1,13,2,30,1,9,1,13,2,9,2,13,1,8,1,9,1,11,1,13,1,8,1,13,1,8,2,13,2,12,1,6,1,30,1,6,1,30,1,6,1,29,3,24,1,12,1,24,1,10,1,17,1,12,1,9,1,17,2,11,1,12,1,17,6,12,1,17,6,12,1,17,10,12,1,17,2,10,1,12,2,6,1,28,14,30,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,29,1,6,1,30,1,28,135,30,1,28,8,30,1,28,1,30,2,29,1,6,1,29,1,28,1,6,1,30,1,6,2,30,1,13,1,8,1,6,1,13,1,8,1,6,1,17,1,8,1,24,2,17,2,12,1,24,1,12,1,24,1,17,3,12,2,24,1,17,1,9,1,12,2,17,1,12,2,17,3,12,1,17,8,11,1,17,1,11,1,17,1,12,1,17,1,12,1,17,2,11,1,17,2,12,2,11,1,9,1,17,1,16,1,12,1,10,1,11,1,17,1,16,1,12,1,17,1,9,1,17,1,12,1,17,2,10,1,8,1,17,1,13,1,12,2,17,1,12,3,9,1,10,1,24,1,17,1,10,2,17,1,12,1,11,1,9,1,17,1,10,1,12,2,11,1,10,1,16,1,17,13,11,1,13,2,28,1,29,1,30,1,6,1,28,1,30,1,28,9,30,1,28,3,30,1,28,22,6,1,7,1,28,39,29,1,28,4,30,1,28,2,30,1,28,2,29,1,6,2,25,1,29,1,13,1,8,1,10,1,8,1,9,1,17,2,6,1,30,1,13,1,28,32,29,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,6,1,28,4,30,1,28,31,6,1,7,1,6,1,13,3,24,1,10,1,24,1,11,1,12,1,10,1,24,1,17,1,24,1,9,2,12,1,24,1,12,1,9,1,8,1,10,1,17,1,10,2,11,5,9,4,13,1,9,1,8,1,13,3,9,1,13,1,9,3,13,2,9,1,13,1,9,1,8,2,13,1,8,1,13,1,9,1,13,2,8,1,9,1,13,1,9,1,11,1,16,3,9,1,11,1,16,1,9,1,13,1,9,3,13,1,9,2,6,1,9,1,8,1,6,1,13,1,9,1,16,1,8,1,9,1,13,1,8,1,9,1,13,1,8,1,9,4,11,1,16,1,9,2,8,1,10,1,13,1,8,1,11,1,9,2,13,1,8,1,9,2,13,1,8,2,9,3,11,1,16,1,13,2,9,4,13,7,6,1,9,1,6,3,13,1,6,1,9,1,6,2,30,1,29,1,13,2,8,1,13,1,8,1,6,1,13,4,8,1,13,1,9,1,8,2,9,2,13,3,6,2,8,1,13,2,9,3,13,2,9,1,13,1,9,1,8,2,9,2,8,1,11,1,9,3,11,1,16,1,9,2,30,1,33,1,5,1,33,60,5,367,30,1,13,1,9,1,24,1,12,1,24,1,12,1,24,1,11,1,10,1,9,1,8,1,24,1,9,1,11,1,9,1,12,1,9,1,10,1,9,2,7,1,24,1,12,1,10,1,8,1,12,1,17,1,12,1,8,1,12,1,17,1,12,1,17,1,12,2,9,1,13,1,10,2,8,1,10,5,12,1,8,1,9,1,13,1,24,1,8,1,24,1,13,1,6,1,8,1,13,2,8,1,7,1,24,1,17,8,10,1,17,2,10,1,12,1,11,1,12,2,17,1,11,2,10,4,12,1,11,1,17,1,11,2,12,1,10,1,12,1,11,1,12,1,17,1,11,3,9,1,11,2,9,1,17,1,11,3,9,1,11,1,9,1,10,1,11,2,9,1,11,1,9,5,16,1,10,1,11,3,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,3,9,1,11,3,10,1,11,1,9,1,11,1,10,1,11,1,9,3,11,1,10,1,9,4,11,4,9,1,16,1,11,1,17,1,16,2,11,2,9,1,11,3,16,3,9,1,16,2,11,1,9,1,8,2,13,3,8,1,9,1,8,4,13,1,9,1,13,1,8,1,17,2,11,1,8,1,13,4,6,1,13,2,9,1,17,2,14,1,9,1,13,2,6,1,28,1,6,1,30,3,28,1,30,1,28,1,30,1,6,1,13,1,16,3,17,13,6,2,30,2,6,1,29,2,7,1,29,1,26,1,7,1,6,1,7,2,6,2,29,1,30,1,7,1,6,3,30,1,13,1,7,1,13,1,29,1,6,2,29,1,7,1,6,1,8,1,7,1,6,1,13,1,6,2,13,1,6,1,7,1,13,1,6,1,8,1,13,1,8,1,24,2,8,1,24,1,9,1,17,1,10,2,9,1,12,1,9,1,11,1,17,1,12,1,10,1,24,1,12,1,8,1,24,1,8,1,24,2,13,1,8,1,13,2,7,1,13,1,10,1,24,2,8,2,29,1,7,1,8,1,7,1,13,1,7,1,6,1,24,1,6,2,13,1,7,1,6,1,13,1,6,1,13,1,7,1,8,2,6,1,7,1,8,3,24,1,13,1,24,1,10,1,8,1,13,1,9,1,8,1,9,2,11,1,12,2,11,1,17,2,12,1,17,3,16,1,17,2,11,1,17,2,11,1,17,2,10,1,17,1,16,1,9,1,11,1,17,2,11,2,17,2,16,1,9,1,17,1,9,1,10,1,12,2,11,1,12,1,10,1,11,1,17,1,9,1,16,1,17,1,9,3,12,1,10,1,8,1,9,3,12,1,11,1,17,1,9,1,17,1,16,1,17,2,16,1,17,1,10,1,17,1,12,1,17,1,12,1,16,2,17,2,12,1,16,1,9,1,17,1,12,1,16,1,10,2,11,1,12,1,17,1,10,1,12,1,17,1,12,1,17,3,12,1,24,1,10,1,9,1,10,1,13,3,7,1,8,1,13,2,6,1,13,2,24,1,13,1,8,1,29,1,8,1,6,2,13,3,8,1,7,1,8,1,7,1,29,1,7,1,13,2,6,1,13,2,8,1,6,1,8,1,7,1,13,2,24,1,6,1,8,2,13,2,9,1,6,1,9,4,10,1,8,3,9,2,8,1,9,1,8,1,9,4,16,1,11,1,9,2,11,1,9,1,11,3,16,1,11,1,16,6,11,4,9,1,11,1,9,1,11,2,9,1,10,2,9,1,11,1,9,1,10,1,9,4,11,1,9,3,8,1,9,1,13,1,9,2,13,1,9,3,8,2,9,2,11,1,8,1,9,2,11,1,9,1,11,1,16,1,11,1,10,1,11,2,16,1,11,2,13,1,8,1,9,1,8,1,9,2,13,2,9,1,8,3,11,4,9,1,10,1,17,1,9,2,8,1,9,4,17,1,11,1,12,1,11,1,12,1,17,4,12,1,11,1,12,1,11,2,16,1,11,1,17,1,11,1,16,3,11,3,17,1,12,1,11,1,17,2,11,1,17,2,11,1,10,1,11,2,17,1,11,2,12,1,11,1,17,1,11,1,10,1,11,1,17,3,10,2,11,3,12,2,11,2,17,13,11,1,17,3,11,1,17,1,11,1,17,1,12,1,17,1,10,1,12,1,11,1,17,7,12,1,17,2,12,1,11,1,9,1,17,5,10,1,8,1,9,1,16,1,17,3,12,1,17,2,9,1,17,2,8,1,11,1,17,2,11,1,17,2,9,1,11,1,17,1,10,1,17,1,11,1,10,1,17,1,9,1,12,1,9,1,24,1,10,1,11,1,17,1,12,1,17,2,10,1,9,2,12,1,10,1,17,1,10,1,12,1,9,1,11,1,17,2,11,1,9,1,11,1,10,1,11,1,17,1,11,1,17,3,12,2,17,2,11,1,9,1,17,1,9,1,12,2,9,1,11,3,17,2,12,1,17,1,11,1,17,2,11,1,17,1,9,1,17,3,12,1,17,14,16,1,17,16,16,1,17,15,11,1,12,1,17,8,16,1,11,2,16,2,12,2,11,2,17,1,16,1,17,4,16,2,5,61,33,1,28,12,30,1,9,1,12,1,8,2,7,1,24,1,9,1,7,2,8,1,13,1,8,1,13,1,10,1,9,1,10,1,9,1,8,1,28,6,9,2,7,1,28,30,13,1,9,2,11,1,9,1,8,1,13,1,17,2,12,1,9,1,13,1,29,1,28,2,}, {15,1,10,1,8,2,13,3,11,1,16,1,8,1,28,8,30,1,28,5,30,1,28,11,30,1,28,8,6,2,29,1,6,1,24,1,8,1,13,2,8,1,14,2,15,1,6,4,30,1,6,1,15,1,12,1,9,1,8,1,13,1,24,1,8,1,9,1,24,1,9,1,24,1,7,2,8,1,17,1,13,2,7,1,13,1,8,1,6,1,10,1,11,1,17,2,11,1,10,5,17,3,12,1,17,1,8,1,11,1,10,1,17,2,9,1,29,1,28,4,30,1,28,10,30,1,28,1,30,1,28,4,30,1,7,1,8,2,9,1,24,1,17,2,11,1,13,1,6,1,29,1,30,1,7,1,6,2,10,1,17,4,16,1,11,1,13,1,7,1,13,1,6,1,13,1,9,3,12,1,17,3,9,1,30,1,28,1,6,1,13,1,29,1,30,2,28,4,30,1,28,3,9,1,12,2,17,2,10,2,12,1,9,1,11,1,9,1,11,1,17,1,11,1,9,1,16,3,9,1,8,1,9,1,11,1,9,1,11,4,9,2,11,1,13,1,9,1,13,1,9,5,8,1,9,4,13,3,9,1,8,1,9,1,11,1,29,1,7,1,29,2,30,1,6,1,28,2,6,1,25,1,8,1,12,1,9,1,24,1,17,1,12,1,9,1,12,1,17,3,12,1,17,18,12,1,17,3,12,1,17,2,12,1,17,2,6,1,28,14,29,1,28,2,30,1,29,1,30,2,6,1,28,1,30,1,29,1,28,8,30,1,28,17,29,1,28,119,6,1,29,1,28,1,29,3,28,1,6,1,13,1,6,2,7,3,8,1,9,1,8,1,10,1,24,1,12,1,9,1,10,1,9,1,12,1,10,1,12,1,17,1,9,1,12,2,9,1,12,1,8,1,12,1,17,1,10,1,12,3,17,5,12,1,17,1,16,1,17,3,16,1,12,1,17,1,12,1,17,2,8,1,17,3,12,1,17,2,10,1,17,1,12,1,17,4,9,1,12,1,17,1,10,2,17,1,12,3,9,1,10,1,17,1,9,1,11,1,17,1,11,1,10,1,9,1,10,1,17,1,12,1,24,1,17,1,10,1,12,1,9,1,17,1,10,1,12,1,17,1,12,2,9,1,17,1,10,1,12,1,24,1,9,2,11,1,17,9,11,1,17,1,13,1,7,1,6,1,7,1,30,1,6,1,13,1,29,2,30,2,28,3,30,1,28,7,30,1,28,21,30,1,28,3,24,1,28,28,30,1,28,3,30,1,28,1,30,2,29,1,28,4,29,1,28,3,30,1,28,5,6,1,28,1,25,1,6,1,8,1,24,1,10,1,24,1,17,3,6,1,28,35,30,2,28,2,30,1,28,2,6,1,28,2,30,1,28,1,6,1,28,3,6,1,28,29,30,1,29,1,7,1,6,1,13,1,30,1,13,1,24,1,9,2,10,1,9,1,17,1,12,3,9,3,11,1,9,1,12,1,9,1,13,1,11,1,9,2,11,2,17,1,11,1,9,1,16,2,13,1,9,3,13,1,8,1,9,1,13,1,9,1,13,1,11,1,16,1,11,1,9,1,11,1,8,2,9,1,8,1,9,5,13,1,9,2,8,1,13,3,7,1,9,1,8,2,9,2,11,2,9,1,11,2,9,5,13,1,9,1,13,1,8,1,6,1,13,3,9,1,13,1,9,5,11,1,13,1,9,2,11,1,9,1,11,1,8,1,9,1,8,1,13,1,9,2,8,1,13,1,16,1,8,1,9,1,8,1,9,2,13,1,9,2,13,4,8,1,13,5,8,1,13,1,6,1,13,1,8,2,13,1,30,1,13,4,9,1,6,1,9,1,6,1,30,1,13,2,28,1,13,3,9,1,8,1,13,1,9,2,13,1,9,1,8,2,9,1,13,1,8,1,9,1,6,1,13,2,8,1,9,4,13,4,8,1,13,1,11,1,9,2,8,1,9,1,8,1,9,1,17,1,9,1,11,1,9,1,11,2,13,2,33,61,5,367,9,1,13,1,9,1,12,1,8,1,12,2,10,1,11,1,12,1,11,1,9,1,12,1,10,1,12,1,10,2,12,1,13,1,9,1,8,1,7,1,9,1,24,1,13,1,12,1,17,1,12,1,11,1,17,2,12,1,11,1,12,2,17,1,10,1,9,1,12,2,10,1,8,1,10,2,8,1,24,1,8,1,24,1,8,1,13,1,24,1,8,1,24,1,8,2,6,1,13,1,24,1,13,1,6,1,9,1,12,1,17,7,11,2,9,1,10,1,9,1,10,1,17,1,11,1,12,2,11,1,12,2,10,1,9,1,8,1,9,1,17,1,11,1,10,1,9,1,10,1,9,1,10,1,17,2,11,1,12,1,17,1,16,1,17,2,11,1,16,1,10,1,11,1,10,1,11,2,9,3,11,4,9,2,16,1,9,2,10,1,11,4,16,1,11,1,16,1,11,1,16,1,17,1,11,1,16,2,11,1,16,3,11,1,9,2,16,1,10,2,9,4,11,2,9,1,8,1,9,2,11,3,8,1,9,1,11,2,17,1,11,1,16,2,17,1,11,2,16,2,11,5,10,1,9,5,13,1,8,1,13,3,7,1,13,3,8,1,13,4,9,1,17,2,16,1,9,1,13,8,11,1,14,2,16,1,9,1,6,1,13,1,6,1,30,1,28,1,6,3,28,1,6,1,28,1,30,1,13,1,11,1,16,1,17,13,16,1,6,2,29,1,30,1,6,2,13,1,6,1,25,1,7,1,25,1,6,1,7,1,6,2,7,1,6,1,24,1,6,1,7,1,6,1,7,1,6,3,13,2,6,2,13,1,6,4,30,1,7,1,6,2,7,2,24,1,7,1,13,1,8,3,7,1,8,1,12,1,9,1,10,1,17,1,9,1,8,2,17,1,10,1,9,1,12,1,9,1,24,2,12,1,9,1,24,4,9,1,8,1,12,1,24,1,17,1,9,1,24,1,8,3,24,1,7,1,13,1,6,1,7,1,13,1,29,1,7,1,6,1,7,1,29,1,6,1,7,1,8,1,6,1,13,1,6,1,7,2,13,1,8,1,24,1,8,1,24,1,9,1,24,1,12,1,8,1,17,1,24,1,12,1,8,1,17,1,11,1,17,1,9,1,12,1,11,1,17,2,12,1,17,3,12,1,9,1,17,1,16,1,17,1,11,1,17,1,12,1,17,3,12,1,9,1,17,2,16,1,12,1,11,1,16,1,12,1,17,3,16,1,11,1,9,1,17,1,9,1,12,1,8,1,9,1,12,1,9,2,11,2,9,1,8,1,9,1,12,1,9,1,17,1,9,1,17,1,11,1,9,2,10,1,17,1,9,1,11,2,17,2,16,1,11,1,9,1,10,1,17,5,16,1,11,2,12,1,9,1,12,1,17,1,10,1,8,1,10,1,17,2,9,1,17,1,9,1,17,1,12,1,17,1,8,1,24,1,17,1,8,1,10,1,13,1,24,1,13,3,29,1,8,2,7,1,13,1,6,2,13,1,29,1,13,2,7,1,8,1,7,1,13,1,6,1,7,1,6,1,13,1,8,1,13,2,6,1,13,1,7,1,8,1,7,1,13,1,8,1,13,1,7,1,8,1,24,1,8,1,13,1,8,1,13,1,8,4,13,2,9,1,8,1,9,1,8,3,10,1,13,1,8,1,9,7,10,1,9,1,16,1,11,2,9,2,16,3,11,1,16,1,17,1,11,5,10,1,11,2,9,1,16,1,11,1,9,1,11,1,9,1,11,1,10,1,9,3,11,1,9,2,13,1,9,1,13,1,9,1,8,1,9,1,8,2,9,3,13,2,9,5,11,6,16,1,11,1,13,1,17,1,11,1,17,1,11,1,17,1,9,1,8,2,9,1,8,5,9,2,10,1,9,1,10,1,11,4,10,3,8,1,9,4,10,1,11,1,17,2,11,2,17,4,12,1,17,1,11,1,17,1,16,1,17,1,11,1,16,1,11,1,17,1,16,1,17,1,11,2,17,1,11,2,12,1,17,1,11,4,9,1,11,1,12,1,11,5,16,1,17,1,11,2,17,1,11,8,17,2,11,2,12,1,11,1,17,8,11,2,16,1,17,5,11,1,17,2,12,1,17,2,11,2,17,2,12,1,17,7,11,2,17,5,11,1,17,3,12,1,17,1,11,1,17,3,9,1,17,1,10,1,17,1,12,1,11,1,17,1,10,1,17,3,9,1,17,2,10,1,9,1,12,2,9,1,10,1,17,2,11,2,9,1,11,1,12,1,10,1,17,1,11,1,12,1,17,1,10,1,12,1,9,1,11,2,12,1,17,1,24,1,10,1,12,1,9,1,10,1,12,1,17,3,12,1,10,1,17,1,11,1,17,1,11,1,12,1,11,1,10,1,11,1,12,1,10,1,11,1,9,1,10,1,12,1,11,1,9,1,11,1,12,1,11,1,17,1,12,1,16,1,17,3,11,2,17,1,11,2,17,4,16,1,17,4,11,1,17,1,16,1,17,7,11,1,17,2,12,1,17,3,16,4,17,1,16,1,17,1,16,2,17,6,12,1,17,14,16,1,17,2,12,1,17,4,16,1,17,1,16,3,17,4,16,1,5,59,33,1,28,13,8,1,9,1,10,1,8,2,9,3,6,1,7,1,8,1,13,1,9,1,8,1,16,1,17,1,9,1,13,1,30,1,28,5,17,2,13,1,30,2,28,28,6,1,17,1,11,1,9,1,8,2,13,1,11,1,17,1,11,1,24,1,13,1,28,1,30,1,29,1,}, {15,2,8,1,9,1,7,1,8,1,7,1,9,1,12,1,9,1,28,1,29,1,28,25,30,1,28,6,30,1,28,1,30,1,6,2,13,1,8,2,13,1,9,1,10,1,14,1,24,1,6,4,30,1,6,1,10,1,9,1,13,1,7,1,13,1,24,2,8,1,24,1,10,1,24,2,13,2,17,1,9,1,13,1,6,1,13,2,6,1,10,1,17,1,11,2,24,1,16,1,10,1,24,1,9,1,13,1,12,1,17,2,11,2,9,2,8,1,17,2,15,1,30,1,28,22,29,1,30,1,8,1,24,1,10,1,8,1,9,1,17,1,12,1,13,1,6,1,13,1,30,1,6,1,7,1,29,1,8,1,17,4,12,1,8,1,13,1,6,1,13,1,6,1,8,1,9,1,12,1,17,1,12,1,17,3,13,1,6,1,30,1,7,1,6,1,30,1,6,1,28,6,29,1,28,2,9,1,17,1,11,1,17,1,11,1,17,1,11,1,9,2,11,2,9,1,17,1,11,1,16,1,11,1,9,2,8,1,11,1,13,1,10,1,8,1,13,1,10,1,16,1,13,2,8,1,9,2,11,1,8,1,13,1,9,1,13,2,9,1,13,1,9,2,10,1,13,3,9,1,8,1,16,1,8,1,13,1,28,1,7,1,28,1,7,1,6,1,30,1,6,1,30,1,29,1,7,1,30,1,6,1,13,1,17,1,12,2,10,2,17,3,12,1,17,2,12,1,17,1,10,1,17,20,12,1,17,1,8,1,13,1,30,1,28,15,30,1,28,2,29,1,28,1,30,1,6,2,28,2,30,1,28,21,30,1,28,124,6,2,30,1,28,1,29,1,30,1,6,2,29,1,7,1,13,1,6,1,30,1,9,1,24,3,12,1,24,1,8,1,24,1,12,1,24,1,17,1,9,2,12,2,8,1,17,1,10,1,17,4,9,1,12,1,17,2,12,1,17,1,16,1,17,1,12,1,11,1,17,4,12,1,11,2,12,1,17,3,11,1,17,4,10,1,17,1,11,1,17,2,12,1,17,1,16,1,17,2,11,1,17,2,12,2,11,2,17,2,10,2,24,1,11,2,12,1,17,1,24,1,12,2,10,1,24,1,10,1,9,1,8,1,11,1,17,1,24,1,12,1,9,1,24,1,17,1,12,1,10,1,12,2,11,1,9,1,11,1,17,5,11,2,9,1,7,1,13,1,7,1,6,1,29,1,7,1,29,1,30,2,28,1,30,1,28,2,30,1,28,36,6,2,28,28,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,2,30,2,29,1,28,1,30,1,7,1,8,1,7,1,24,1,13,1,24,2,12,1,17,1,12,1,28,2,30,1,28,30,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,29,1,28,3,6,1,28,1,29,1,28,31,29,2,6,1,13,1,8,1,9,1,8,1,12,1,9,1,24,2,17,1,9,2,8,1,10,1,12,1,9,2,10,1,24,1,9,1,10,1,9,1,11,1,9,1,16,2,9,1,16,1,9,1,11,1,9,1,11,2,9,2,8,2,9,1,13,1,9,3,13,1,11,1,13,1,9,1,8,1,9,3,13,1,9,2,13,2,9,1,13,1,9,1,13,5,9,1,13,5,9,1,16,1,11,1,9,1,16,2,11,1,9,1,11,1,16,1,9,1,16,1,11,2,9,1,17,1,11,1,16,1,13,1,11,1,13,2,8,1,11,1,9,1,13,1,9,3,16,1,11,1,13,1,8,1,9,1,11,1,9,2,11,1,9,1,13,4,8,1,9,1,13,2,9,1,13,1,9,1,13,2,9,2,13,1,6,1,13,4,9,1,8,1,6,1,8,1,6,2,13,4,6,1,8,1,28,1,6,1,13,1,10,1,8,1,13,2,6,1,13,1,8,1,13,3,8,1,9,3,8,1,9,1,13,1,8,2,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,3,9,2,8,1,13,1,16,1,13,1,9,1,11,1,9,1,13,1,10,1,12,1,9,1,16,1,11,1,10,1,11,1,9,1,6,1,5,2,33,59,5,366,13,1,9,1,13,1,10,1,9,1,11,1,10,1,11,1,10,3,12,1,11,1,9,1,12,1,8,1,10,2,8,2,9,1,8,3,10,1,12,1,10,1,11,1,17,2,12,1,10,1,12,2,17,1,12,3,17,1,9,1,10,1,24,2,8,1,10,1,8,2,12,1,8,2,24,1,9,1,13,1,9,1,8,1,13,2,8,1,13,1,24,1,13,1,17,1,12,2,17,7,9,2,17,1,9,1,10,1,17,1,10,2,9,2,10,1,9,1,10,1,8,1,12,1,10,2,17,1,10,3,17,4,11,1,16,1,11,1,9,4,10,2,9,2,11,1,8,1,10,2,9,1,10,1,9,2,10,1,9,3,11,1,9,2,11,1,9,1,16,2,11,3,17,1,16,1,17,1,11,1,17,1,11,1,17,1,16,1,17,1,11,3,9,1,11,4,16,1,9,2,11,1,16,1,11,1,9,1,10,1,9,1,10,1,9,2,10,2,17,2,11,2,16,2,11,1,9,1,11,1,16,4,11,2,17,1,11,1,8,1,9,1,13,2,8,3,9,1,8,2,13,1,8,1,13,1,8,1,9,1,13,2,9,1,17,1,13,1,11,1,14,1,9,1,13,7,9,1,16,1,14,2,16,1,9,1,13,1,6,1,30,1,6,3,30,1,28,2,6,1,28,1,13,2,9,1,16,1,17,13,11,1,7,1,30,1,7,1,6,1,28,1,7,1,29,1,6,1,29,1,6,2,7,1,29,1,6,1,7,1,29,1,13,1,6,1,29,1,8,1,13,1,6,4,7,1,6,2,13,1,7,1,6,3,7,1,29,1,6,1,29,3,6,1,7,1,13,1,7,1,8,1,7,1,8,2,13,1,8,1,9,2,11,1,12,1,17,1,12,2,8,1,10,1,12,1,9,4,8,1,13,1,24,3,13,1,10,1,13,1,17,1,13,1,12,1,9,1,8,3,13,2,7,2,8,1,13,1,8,2,6,1,24,1,13,1,7,1,8,1,13,1,7,1,6,1,13,1,24,1,7,1,13,1,6,1,9,1,24,3,8,2,10,1,11,1,12,1,9,1,17,3,11,1,17,2,11,1,16,1,17,5,12,1,17,1,12,1,11,2,17,1,11,1,17,1,11,2,9,1,17,2,11,1,12,1,8,1,11,1,17,1,10,1,11,1,16,2,11,1,16,1,9,1,10,3,11,1,9,1,11,1,12,2,11,1,12,1,9,1,8,1,17,1,11,1,12,1,9,1,12,1,9,1,17,1,10,1,17,1,12,1,9,1,10,1,11,1,9,1,8,1,11,4,10,1,11,1,16,1,11,1,16,1,17,3,10,1,17,1,11,1,10,1,16,1,9,2,17,1,12,1,11,1,12,1,17,1,12,3,9,1,17,1,9,1,12,1,17,1,9,1,8,2,13,3,6,1,7,2,6,1,13,1,7,1,13,3,7,1,6,1,7,1,6,1,13,1,7,2,29,1,8,1,7,1,13,1,6,1,7,1,8,1,7,1,8,2,13,2,7,1,8,1,13,1,24,1,7,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,13,1,8,2,9,3,8,1,9,1,13,1,9,1,13,1,8,1,9,2,13,1,16,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,11,3,16,1,11,4,9,2,11,2,9,1,11,1,10,1,11,1,10,1,9,3,11,2,8,1,9,5,16,1,13,1,10,1,13,1,9,3,11,1,9,1,8,1,9,2,8,1,10,1,9,1,11,1,17,1,16,1,17,1,9,2,17,1,11,2,9,1,11,2,12,1,11,1,12,1,17,1,10,1,9,1,8,1,9,3,8,1,9,6,11,5,17,1,11,1,10,1,9,1,13,1,7,2,8,1,13,1,9,1,12,1,17,1,11,2,17,5,16,1,17,3,16,1,17,1,16,1,17,2,16,1,17,2,11,1,17,1,12,1,17,3,11,3,9,1,11,8,17,1,16,1,11,1,17,1,11,1,17,1,11,4,17,3,11,2,9,1,10,1,17,3,16,1,17,6,16,1,11,2,17,5,16,1,11,4,12,1,9,1,17,5,12,1,17,5,11,1,17,1,9,1,11,1,17,4,9,1,17,1,16,1,17,1,12,1,11,1,17,3,12,2,9,3,17,1,11,1,17,2,12,1,10,1,12,1,17,1,12,1,11,1,17,2,12,2,10,1,12,2,11,1,12,1,17,1,10,1,17,1,11,1,10,1,17,1,10,1,11,1,17,1,12,1,17,1,12,1,11,1,12,1,11,1,10,2,17,1,10,1,8,1,12,1,8,1,10,2,11,1,12,2,10,1,9,1,8,1,17,1,11,1,12,2,9,1,12,1,11,1,9,1,17,1,11,1,17,1,12,1,11,1,12,1,17,2,12,1,17,1,16,1,17,1,12,1,17,2,11,1,17,21,11,1,17,5,16,1,17,5,16,1,17,1,11,1,17,1,16,2,17,1,11,1,17,6,12,1,17,17,12,1,11,1,17,1,16,3,17,6,5,58,30,1,28,13,8,1,24,1,9,1,8,1,12,1,9,1,8,1,7,1,13,1,7,1,13,2,9,2,11,1,17,1,16,1,9,1,28,6,9,1,16,1,8,1,28,1,6,1,30,1,28,27,30,1,14,1,17,1,9,1,8,1,9,1,13,1,17,2,12,1,8,1,29,1,30,1,28,2,}, {12,1,17,1,13,1,29,1,6,3,16,1,17,1,24,1,28,29,30,1,28,8,8,1,29,1,8,1,13,1,8,2,14,2,12,1,6,1,30,1,7,1,6,1,28,2,15,1,14,1,24,1,13,1,24,1,12,1,24,2,9,1,12,1,10,1,8,1,13,1,9,1,14,1,12,1,8,1,9,1,8,1,6,2,9,1,17,1,11,1,12,1,10,1,9,3,8,1,9,1,13,1,17,2,10,1,24,1,9,2,10,1,16,1,14,1,9,1,6,1,30,1,28,2,30,1,28,14,30,1,28,2,30,1,28,1,29,1,13,1,9,1,24,1,10,1,17,2,12,1,8,1,6,4,30,1,6,1,12,1,17,5,24,1,8,1,7,1,8,1,29,1,13,2,11,1,10,1,17,4,11,1,13,1,30,2,6,2,29,1,28,3,29,1,28,2,6,1,28,2,13,1,11,1,17,2,12,1,11,1,16,1,11,2,9,1,11,1,9,1,11,1,9,2,8,1,10,1,11,1,13,1,10,1,9,1,11,1,8,1,9,3,11,1,8,1,9,1,8,1,9,1,13,4,8,1,13,2,6,1,11,1,9,2,13,1,9,1,13,1,9,2,16,1,8,1,6,4,30,1,7,1,29,1,30,1,6,1,28,1,29,3,6,1,8,1,10,1,12,2,17,2,12,1,17,1,12,4,17,4,9,1,17,2,12,1,17,16,8,1,29,1,30,1,28,15,30,1,29,1,28,2,30,1,28,1,30,2,28,24,29,1,28,1,30,1,28,110,30,1,28,4,30,1,28,2,30,1,28,2,29,1,28,3,29,1,13,1,6,1,29,3,13,1,30,1,8,1,7,1,8,1,13,1,24,2,10,1,9,3,17,1,24,1,10,1,17,2,24,1,12,2,11,1,12,1,17,2,12,1,17,14,12,1,17,3,11,1,12,3,17,2,12,1,10,1,12,2,17,1,11,1,17,5,12,2,17,1,12,1,10,1,11,1,9,1,17,1,12,1,17,1,9,1,17,1,12,1,9,1,10,1,24,1,17,1,9,3,12,1,24,1,9,1,12,1,24,1,8,1,10,1,8,1,12,1,10,1,9,2,10,2,9,1,17,1,12,2,11,1,17,2,11,1,17,1,10,2,24,1,13,3,7,1,13,1,6,2,30,1,6,1,29,1,30,1,29,1,28,1,29,1,28,1,30,1,28,13,30,1,28,23,29,1,28,28,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,6,1,28,1,29,1,7,2,6,1,8,1,24,3,17,2,6,1,30,2,28,31,30,1,7,1,30,2,28,1,6,1,28,4,30,3,28,2,30,1,28,1,29,1,30,1,28,29,30,2,29,1,28,1,13,1,7,1,13,1,24,2,9,1,12,2,10,1,13,1,17,1,9,2,24,1,9,1,17,1,12,1,8,1,24,1,17,1,8,1,10,1,9,1,10,1,16,4,10,1,11,3,9,1,11,1,9,2,11,1,13,1,11,1,9,1,13,1,9,3,11,1,10,1,9,1,11,1,9,6,8,2,11,1,8,1,13,1,6,1,9,1,13,1,8,2,13,1,9,3,11,1,13,1,9,2,13,1,9,1,16,3,9,1,16,1,9,1,11,1,16,1,9,1,16,1,11,1,9,1,17,1,16,1,11,1,16,2,11,1,9,1,11,2,9,1,8,1,9,1,11,1,9,2,11,1,13,1,9,1,13,2,11,1,9,3,13,2,9,1,13,2,8,2,9,1,13,2,8,1,13,5,9,1,13,2,8,1,13,2,6,1,13,4,6,1,13,1,9,1,16,1,9,1,13,1,8,1,13,8,6,1,9,1,8,1,7,1,9,2,8,1,11,1,9,1,8,1,13,1,9,1,8,2,10,1,13,1,7,1,8,1,13,1,9,1,8,1,13,3,8,1,9,1,13,1,8,2,13,1,9,2,13,1,10,1,11,1,9,1,13,1,8,1,11,2,9,3,33,60,5,367,13,2,10,1,8,1,9,1,10,1,11,1,9,2,10,4,12,1,8,1,10,1,11,1,10,1,9,2,8,1,9,1,10,1,9,1,10,1,11,1,10,1,12,2,17,1,10,1,12,2,17,5,10,1,12,1,9,1,10,1,24,1,11,1,12,1,10,1,9,2,12,1,10,1,24,1,8,1,24,2,10,1,13,1,8,1,10,1,8,1,24,1,9,2,12,2,17,6,12,1,17,3,12,1,17,1,9,1,11,1,17,1,9,1,10,1,8,1,24,1,10,1,11,4,9,1,12,1,17,4,12,1,11,2,9,1,10,1,9,1,10,1,9,1,8,1,10,1,9,3,11,1,10,2,9,3,13,1,10,1,9,3,10,1,9,3,10,1,9,1,13,1,12,1,9,2,8,1,9,1,11,1,10,1,11,3,16,1,11,1,10,1,16,2,11,3,9,1,10,1,11,3,16,1,9,4,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,2,9,1,11,3,16,2,11,2,16,1,17,1,11,2,16,1,9,1,8,4,13,2,9,1,13,1,9,1,13,2,7,1,13,2,9,1,13,2,17,1,6,1,13,1,11,1,16,2,13,5,6,1,13,1,6,1,9,1,14,2,16,2,11,1,6,1,28,1,6,1,30,1,6,2,30,2,28,2,30,1,13,1,9,1,16,1,17,13,9,1,6,1,30,1,7,1,28,1,13,1,6,1,30,1,6,1,29,1,6,2,13,1,7,1,6,1,30,1,29,1,6,1,7,2,8,1,29,1,6,2,7,3,8,1,7,1,6,2,7,3,30,1,8,1,7,3,6,1,13,1,8,1,6,1,8,2,7,1,8,1,9,1,13,1,8,2,10,1,9,1,10,1,17,1,24,1,12,1,9,2,10,1,11,1,12,1,9,1,10,1,24,1,8,1,24,2,8,1,10,1,24,1,12,1,8,3,10,1,12,1,8,1,24,2,8,1,13,1,8,1,13,1,24,1,13,1,8,1,13,1,6,1,8,2,24,1,12,2,13,1,24,2,9,1,8,2,12,1,24,1,10,2,8,1,10,1,9,1,10,1,17,2,12,1,9,1,17,1,12,1,17,1,16,1,17,5,11,1,17,1,10,1,9,1,17,1,10,1,9,1,12,1,17,2,9,1,17,1,10,1,9,2,11,2,10,1,12,1,11,2,16,1,11,2,10,1,11,1,12,2,11,1,17,1,9,2,13,1,9,3,11,1,9,1,10,1,12,1,10,1,11,1,12,2,9,1,12,2,17,1,11,1,12,2,17,1,11,2,17,1,9,1,17,10,12,1,10,2,11,2,9,2,12,1,17,2,11,1,17,1,11,1,10,2,17,1,9,2,17,2,8,1,13,2,7,1,6,1,8,1,29,1,7,1,13,1,7,1,6,4,7,1,29,1,6,2,29,1,6,1,7,1,13,1,7,1,13,1,6,2,13,3,7,2,13,1,7,1,13,1,7,1,6,1,7,2,9,1,8,2,7,1,24,1,13,3,9,1,13,1,9,1,8,1,9,5,11,1,13,1,9,1,11,1,9,2,11,2,9,1,10,1,9,2,11,1,9,1,11,2,16,1,17,1,11,1,16,1,17,1,11,1,16,1,11,2,9,1,11,3,9,1,11,1,9,1,11,1,9,1,11,2,10,2,9,2,10,1,9,1,10,1,9,2,11,1,9,3,11,1,10,1,11,1,10,1,9,1,11,1,9,1,10,1,17,1,16,1,11,2,16,1,9,2,10,1,9,2,11,1,9,1,11,3,17,3,11,1,9,1,8,1,9,2,10,1,9,2,8,1,9,3,10,1,9,2,11,1,12,1,11,1,9,2,11,1,9,2,13,2,6,1,7,1,9,2,11,2,9,1,11,2,17,1,11,1,17,2,11,1,17,18,9,1,11,1,10,1,11,1,9,1,17,1,11,2,17,2,11,3,17,1,16,1,11,1,17,1,11,2,12,1,17,1,12,1,11,4,17,1,11,2,17,3,16,1,17,1,16,2,17,3,11,1,16,1,17,10,11,3,16,1,10,1,17,2,11,1,17,6,16,1,11,1,17,1,16,1,10,1,11,2,8,1,9,4,17,1,11,1,12,1,6,1,9,1,17,2,12,2,11,1,17,1,11,1,12,1,11,1,24,1,17,1,11,1,17,2,12,1,17,1,12,2,10,1,17,1,12,1,10,3,9,1,17,2,12,1,9,1,12,1,9,1,10,2,17,1,10,2,17,1,9,1,12,1,10,1,12,1,10,1,8,1,12,1,13,1,17,1,9,2,17,1,11,1,9,1,11,2,9,1,11,1,10,1,17,2,11,1,12,1,9,3,12,1,17,1,10,1,17,1,9,1,17,1,12,1,11,1,9,1,12,1,9,1,16,1,12,1,17,2,12,1,11,1,17,25,11,1,17,3,16,1,17,1,16,1,11,1,17,1,16,1,17,4,11,1,17,2,11,1,17,1,11,1,17,13,12,2,17,4,11,1,17,11,5,56,30,1,28,13,10,2,24,1,12,1,24,1,10,1,8,1,9,1,13,1,8,1,9,1,13,1,9,2,10,1,17,1,12,1,6,1,28,5,6,1,10,1,8,2,28,1,29,1,28,28,6,1,14,1,12,1,9,2,8,1,13,1,17,2,12,1,13,1,29,1,30,2,28,1,}, {17,1,11,1,9,1,28,1,13,1,29,1,6,1,24,1,17,1,9,1,30,1,28,2,30,1,28,3,29,1,28,8,6,1,30,2,28,5,29,1,28,11,29,1,28,1,6,1,13,1,24,1,8,1,13,1,8,1,17,1,14,1,9,1,8,1,7,1,28,1,29,1,6,1,28,1,12,1,14,1,8,2,24,1,10,1,24,1,8,1,9,2,10,1,8,1,24,1,8,1,17,1,12,1,24,1,13,1,30,1,6,2,8,1,12,1,17,1,9,3,8,1,11,1,8,2,13,1,14,1,17,1,16,1,8,1,9,3,12,1,17,1,9,1,6,1,28,21,29,1,28,1,6,1,7,1,24,1,12,1,9,1,15,1,14,2,24,1,6,1,8,1,6,3,13,1,8,1,17,2,10,1,17,1,12,1,8,1,9,1,8,1,7,1,8,1,7,1,13,1,8,1,10,1,17,4,12,1,29,1,13,1,6,3,28,6,6,1,13,1,28,2,13,1,11,4,16,1,9,1,17,1,16,1,11,1,9,1,11,1,9,2,16,1,9,3,8,1,16,1,8,1,9,1,8,1,11,1,8,1,9,1,11,1,13,2,11,1,9,1,13,1,9,1,13,2,8,1,13,1,9,5,13,2,9,1,13,1,9,1,8,2,13,1,30,1,7,1,30,1,6,1,7,1,6,1,28,1,29,1,28,1,6,1,30,1,29,1,6,2,24,1,7,1,8,1,24,1,12,1,10,1,12,3,17,3,12,1,17,3,12,1,17,16,11,1,17,1,8,1,6,1,30,1,28,14,6,1,30,1,28,1,30,1,28,1,13,1,28,1,30,1,28,1,29,1,28,22,29,1,28,115,30,1,28,2,29,1,30,1,28,2,30,1,29,1,28,1,6,1,29,3,6,1,29,1,6,2,29,1,6,2,8,1,29,1,7,1,13,1,7,1,9,2,10,3,9,1,12,1,17,1,9,1,10,1,9,1,12,1,17,1,12,1,17,4,10,1,12,2,17,1,12,1,17,3,16,1,17,2,12,1,17,3,11,1,12,1,17,4,12,1,17,2,12,1,11,1,17,1,12,1,17,3,12,1,17,3,11,1,17,4,11,1,10,1,11,1,9,1,11,1,8,1,12,1,13,1,12,1,9,1,12,1,24,2,17,1,10,1,12,1,24,1,10,1,9,1,24,1,12,2,10,1,17,1,9,1,12,2,10,1,17,1,12,2,17,3,12,1,17,1,9,1,17,1,10,1,9,2,24,1,9,1,6,1,13,1,7,1,29,1,7,1,6,2,30,1,29,1,28,1,30,2,28,1,30,1,28,37,8,1,28,20,30,1,28,3,30,1,28,5,29,1,30,1,29,1,30,2,28,1,30,1,28,4,30,1,28,4,29,1,28,1,29,2,6,1,29,1,25,1,13,1,8,1,13,1,24,1,9,1,12,1,17,1,29,1,30,1,28,31,30,1,6,1,28,8,30,7,28,1,30,1,28,30,6,1,30,1,6,1,8,1,9,1,8,1,13,1,8,1,24,1,12,1,10,1,8,1,9,2,12,1,10,1,12,1,17,1,9,1,10,1,24,1,9,2,8,1,11,3,9,1,17,1,11,1,16,1,11,2,16,1,10,1,9,4,13,1,11,1,9,1,13,1,9,5,11,2,9,1,8,1,9,1,13,1,10,1,8,1,9,4,13,1,8,1,9,3,13,1,8,1,9,4,13,1,16,1,13,1,8,1,13,3,9,2,16,1,9,1,10,1,16,1,11,1,16,4,11,1,16,1,9,1,11,1,17,1,9,1,11,3,9,1,10,1,11,1,16,1,13,1,9,2,16,1,9,1,16,1,9,2,13,2,8,1,13,1,30,1,8,1,9,1,13,2,9,1,13,3,11,1,13,4,9,1,13,1,6,1,13,2,9,1,13,1,6,1,13,2,6,2,13,1,11,1,9,1,13,1,9,1,13,1,11,1,6,2,13,1,29,1,13,1,6,2,13,1,6,1,13,1,8,1,13,2,8,1,13,1,9,1,16,1,13,1,8,1,10,1,8,2,13,1,9,1,8,1,9,1,8,1,7,1,13,3,9,1,8,1,13,2,9,1,11,1,9,1,8,1,17,1,8,1,9,1,11,1,9,1,17,1,9,2,11,1,12,1,9,1,16,1,11,1,9,1,13,1,33,1,5,1,33,58,5,366,30,1,13,1,8,1,10,2,11,1,12,1,10,3,11,2,10,1,11,1,9,1,24,1,10,1,24,2,10,1,8,2,10,1,8,1,12,2,10,1,12,1,17,1,12,2,17,8,11,1,9,1,12,2,9,1,8,1,9,2,12,1,10,2,8,3,13,1,9,1,13,1,8,1,13,1,10,1,9,1,24,1,12,3,17,1,12,1,17,2,12,1,17,1,12,1,17,2,11,1,12,1,11,2,12,1,10,1,9,3,11,1,9,1,11,1,12,1,17,1,12,1,17,1,11,1,17,1,11,2,9,1,16,1,9,3,11,1,8,2,11,1,9,3,8,1,10,1,9,1,8,2,9,1,10,1,8,1,9,1,11,1,13,1,9,1,8,3,9,1,11,1,9,1,10,1,9,4,8,1,9,3,11,3,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,9,1,10,1,9,1,11,7,9,2,11,1,16,1,11,1,16,1,11,2,9,1,11,3,9,1,11,1,16,2,11,2,17,1,9,1,11,1,9,5,13,2,8,2,13,1,6,1,8,2,7,1,13,1,8,1,13,2,17,1,13,2,9,2,16,1,11,1,13,1,9,1,13,3,9,1,13,1,9,2,16,4,13,3,28,1,6,1,30,1,28,1,30,4,28,1,13,1,9,2,16,2,17,10,16,1,9,1,29,1,6,2,30,1,29,1,6,1,29,1,6,4,29,1,28,1,13,2,8,1,7,1,13,2,6,1,8,1,24,1,6,2,13,1,6,1,8,1,30,1,6,1,13,1,7,2,13,1,6,1,29,1,13,1,6,1,29,1,8,2,7,1,8,2,29,1,13,2,29,1,8,1,10,1,8,1,11,1,9,4,10,1,12,1,13,1,12,1,8,2,10,2,9,1,10,1,8,2,24,1,17,1,24,2,17,1,8,3,9,2,24,1,6,1,24,1,13,1,8,1,24,2,7,1,8,1,24,1,7,1,8,1,9,1,13,1,24,1,12,1,8,1,10,1,9,1,17,1,8,1,10,1,24,1,17,1,9,2,12,1,17,1,10,3,9,1,12,1,10,1,17,4,12,1,17,1,11,2,9,1,11,1,8,1,11,1,12,2,17,1,9,1,11,1,17,1,10,1,11,2,17,1,10,2,16,1,11,1,17,1,10,1,11,1,12,1,16,1,12,2,9,1,10,1,17,1,9,1,16,1,11,1,9,1,16,1,11,1,8,1,10,2,9,1,10,1,12,1,10,1,9,1,12,1,17,1,10,1,11,1,17,1,16,1,9,1,16,1,17,1,9,2,11,1,9,1,17,1,12,1,10,1,17,1,11,1,17,2,11,1,17,1,16,1,10,1,16,1,9,1,17,1,10,2,11,1,17,1,11,1,10,2,8,1,10,1,17,3,12,1,11,1,8,1,24,1,8,2,13,1,8,1,6,1,8,1,24,1,29,1,8,1,6,1,7,1,13,2,7,1,6,3,7,3,6,1,29,1,6,1,7,2,6,1,24,1,13,1,29,1,7,1,29,1,13,1,6,1,7,1,13,1,6,1,8,1,13,2,7,1,13,1,6,1,8,1,7,1,9,1,8,2,13,1,8,2,13,3,9,1,8,1,10,1,8,1,9,8,11,1,10,1,11,1,9,1,16,1,11,1,16,3,17,1,16,1,17,1,11,3,16,3,11,2,16,2,11,3,9,2,11,2,16,1,9,2,17,1,12,1,11,2,17,1,9,1,17,1,11,5,8,1,9,3,11,1,9,1,11,1,10,1,11,1,9,1,11,1,9,2,12,1,11,1,10,1,11,1,10,1,12,1,17,4,9,3,10,1,9,3,13,1,9,2,13,1,10,1,9,1,11,1,9,1,10,1,9,1,11,1,9,1,10,1,13,1,9,1,13,2,6,1,13,3,9,1,11,6,17,2,11,2,17,18,11,2,17,1,11,2,17,1,11,1,12,1,17,1,11,2,16,1,17,1,11,1,17,4,11,1,17,1,11,1,17,2,11,1,17,3,11,1,17,8,16,1,17,1,16,1,17,2,11,1,17,1,16,1,17,1,11,2,9,1,17,1,11,1,12,1,11,2,16,1,11,1,17,1,11,1,16,1,17,5,11,1,16,1,17,2,11,4,10,2,9,1,8,1,13,1,11,1,17,6,11,1,17,1,9,1,12,4,11,3,12,1,10,1,17,1,10,1,12,1,11,1,17,3,10,1,9,2,17,1,9,2,17,1,11,1,12,1,17,2,12,1,17,3,9,1,12,1,10,1,12,1,17,1,11,1,9,1,17,1,9,1,11,1,12,1,9,1,10,2,12,1,10,1,11,1,10,1,17,1,9,1,11,2,9,1,11,3,9,1,17,1,9,1,11,1,17,8,11,1,17,5,10,1,17,4,11,1,17,17,16,1,17,2,11,1,16,1,17,1,16,1,17,2,16,1,17,4,16,1,17,1,12,1,11,1,17,1,11,1,17,1,12,1,17,14,11,1,17,4,16,1,17,1,11,2,17,10,5,54,30,1,28,12,30,1,9,1,10,1,24,1,12,1,9,1,8,1,24,1,13,2,6,1,13,2,8,2,9,1,17,2,13,1,28,5,6,1,9,2,6,1,28,1,6,1,28,28,13,1,14,2,8,1,9,1,13,1,9,1,17,2,12,1,8,1,28,1,30,1,28,2,}, {9,1,12,1,9,1,6,1,29,1,30,1,6,1,9,1,14,1,12,1,28,1,30,1,28,16,6,1,28,16,30,1,28,1,29,3,24,1,12,1,10,2,15,1,17,1,14,1,6,1,30,4,29,1,12,1,14,1,10,1,13,1,9,1,13,1,8,2,9,1,8,1,10,1,6,2,9,1,17,2,6,1,7,1,13,1,28,1,30,1,9,1,16,1,9,2,8,1,10,1,9,2,13,1,8,1,13,1,17,1,16,1,12,1,16,1,12,1,9,1,10,1,17,2,15,1,6,1,28,22,6,1,29,1,8,1,9,1,12,1,24,1,12,1,14,2,9,1,7,1,6,1,7,1,29,1,13,1,6,1,13,1,17,4,12,1,13,1,24,2,13,1,7,1,6,1,8,1,24,1,9,2,17,3,9,1,28,1,13,1,6,2,30,1,6,1,28,4,30,1,28,1,6,1,28,2,13,1,17,1,11,2,10,1,11,1,16,1,11,1,13,1,9,1,8,2,13,1,9,1,13,1,9,6,13,1,9,7,13,2,16,1,13,2,9,1,13,1,9,1,13,1,9,3,13,1,9,1,13,1,9,2,11,1,8,1,13,2,28,1,6,1,30,1,6,1,30,1,13,1,29,1,6,2,30,1,29,1,7,1,25,1,13,2,6,2,24,2,8,1,10,1,12,2,17,1,24,1,17,4,12,1,17,19,12,1,29,1,28,14,30,1,28,3,30,1,28,1,29,1,30,1,29,1,6,1,28,22,29,1,28,7,30,1,28,113,29,1,28,1,6,1,29,1,28,2,29,1,28,1,6,1,28,1,6,2,29,2,6,2,7,1,25,1,8,3,24,1,13,1,9,2,17,1,24,1,17,1,9,2,12,1,10,1,9,1,17,1,10,1,12,1,9,1,12,1,17,1,12,1,17,8,11,1,17,1,12,1,17,1,10,1,17,3,12,1,17,3,12,1,17,5,10,1,17,1,12,1,17,2,11,1,17,4,12,1,17,1,12,2,24,2,9,1,12,1,9,3,10,1,8,1,9,1,17,1,8,1,9,1,24,1,8,1,12,1,10,1,17,1,10,1,12,1,10,2,9,1,12,1,8,1,24,1,12,1,17,1,15,1,17,2,15,1,17,1,12,1,9,1,17,1,8,1,9,2,24,3,13,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,28,1,29,1,30,1,28,3,30,1,28,7,30,1,28,25,30,1,28,30,30,1,28,2,30,1,28,1,6,1,8,1,30,1,6,1,28,2,30,1,28,2,29,1,28,4,30,2,29,2,7,1,30,1,8,2,24,1,9,1,12,1,17,2,30,1,28,33,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,2,28,32,30,1,6,1,7,1,8,3,24,2,8,1,11,1,12,4,24,1,10,1,12,3,10,1,11,1,8,1,9,1,8,1,11,2,9,1,11,2,16,1,11,1,9,1,16,1,10,1,11,2,9,4,13,1,8,1,11,1,9,2,10,1,9,1,16,2,9,2,16,1,9,1,11,2,9,1,11,1,9,2,10,2,9,1,11,1,9,1,11,1,9,3,10,1,11,1,13,1,9,2,13,1,9,2,13,4,11,1,16,1,11,1,9,1,11,1,16,1,17,1,11,3,9,1,16,1,9,2,16,1,9,1,16,1,9,1,11,1,9,1,17,1,16,1,11,2,9,1,11,1,16,2,8,1,16,1,9,2,13,6,8,2,13,1,9,3,13,2,9,1,13,2,6,1,9,1,8,1,9,2,29,1,13,1,29,1,13,1,6,1,9,1,16,1,6,1,9,1,6,1,9,3,13,4,28,1,6,1,30,1,7,1,6,1,13,2,8,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,10,1,9,1,8,1,9,2,13,1,9,1,13,2,8,2,13,1,8,1,13,1,8,1,13,1,11,1,8,1,9,1,10,2,9,1,11,1,16,1,9,2,11,2,17,2,9,1,13,5,5,2,33,57,5,366,13,2,9,2,11,3,10,1,11,1,10,2,12,1,10,1,9,1,24,1,8,1,10,3,24,1,9,1,12,1,9,2,12,1,10,2,17,5,12,1,17,3,10,1,12,2,17,1,10,2,9,1,10,1,24,2,10,2,24,1,9,1,24,1,8,1,13,1,24,1,13,1,9,1,13,1,24,1,8,1,12,1,10,1,12,2,24,1,13,1,10,1,17,8,12,1,17,1,10,1,11,1,13,1,9,4,12,1,17,1,12,1,11,1,9,1,8,2,13,1,9,1,13,2,8,1,9,2,8,1,13,1,8,1,9,4,8,1,9,1,13,1,8,1,13,1,7,1,8,3,9,2,8,2,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,3,8,1,9,2,10,1,9,5,10,1,16,1,11,1,16,3,10,2,9,1,11,2,10,1,16,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,10,1,17,1,11,1,9,4,11,3,16,4,11,2,9,1,13,1,9,2,8,1,13,1,8,1,9,1,13,7,7,1,13,2,8,1,16,1,13,1,6,1,9,1,13,1,16,3,13,2,6,1,13,6,16,1,17,1,16,2,11,1,6,1,28,1,13,1,30,1,28,1,30,1,28,1,30,2,28,2,13,1,9,2,17,13,13,1,29,1,6,1,30,1,29,1,30,2,6,5,8,2,29,1,13,1,6,1,8,1,13,1,8,1,7,1,8,1,7,1,8,1,6,2,7,1,6,5,13,1,7,1,29,1,6,1,7,3,6,3,7,1,8,1,6,1,13,1,8,1,13,1,7,1,8,1,13,1,8,1,11,1,8,1,11,1,17,1,10,1,12,1,24,1,10,1,12,1,24,1,13,1,24,2,8,1,12,2,10,1,24,1,9,1,10,1,12,2,10,1,9,1,24,1,8,3,12,1,8,2,24,4,9,1,24,1,13,1,9,2,24,1,8,1,24,1,9,1,13,1,11,1,10,1,9,1,17,1,24,1,11,1,9,1,11,1,12,1,17,1,12,1,17,1,9,1,17,5,11,1,12,1,11,1,10,1,12,3,11,1,17,1,9,1,12,2,10,2,11,2,9,1,10,2,11,1,10,2,9,1,17,1,10,1,9,1,12,1,9,1,17,1,16,1,10,1,8,1,11,1,9,1,8,1,11,1,9,1,10,1,17,1,16,1,9,1,12,1,9,1,10,1,9,1,12,1,11,1,17,2,16,1,12,1,17,1,9,1,17,1,11,1,12,1,9,1,10,1,9,1,17,2,12,1,11,1,16,1,17,3,12,1,17,1,11,1,12,1,17,1,16,1,17,1,12,2,9,1,16,2,11,1,17,1,12,1,11,1,17,1,9,1,11,3,10,2,9,1,7,2,6,2,8,1,13,1,7,2,13,1,30,1,6,1,29,1,6,1,29,1,6,1,13,2,7,1,29,1,7,1,13,1,8,2,6,2,7,1,13,1,30,1,13,2,6,1,13,1,7,4,6,1,13,2,29,1,13,1,8,1,9,1,13,1,9,3,6,1,9,1,10,1,8,2,9,1,10,1,8,1,9,2,13,1,11,1,13,2,9,2,10,1,11,1,16,1,11,1,16,1,11,1,16,3,10,1,16,1,11,1,9,1,11,4,17,3,16,2,17,1,11,2,9,1,16,2,11,1,17,5,9,1,16,1,11,5,9,1,8,1,10,1,9,1,11,1,9,1,10,1,11,1,9,2,10,2,9,2,11,1,10,2,9,2,12,1,17,3,12,1,11,3,17,1,13,1,10,1,9,1,8,1,13,1,11,1,9,4,8,1,9,4,13,1,9,1,10,1,9,1,8,1,9,1,13,3,6,2,13,1,9,2,10,1,12,1,11,1,17,1,12,1,11,3,17,1,11,1,17,19,12,1,11,1,17,3,11,1,16,1,17,4,16,1,17,1,16,3,17,1,11,2,16,2,17,1,16,2,17,13,16,1,17,5,16,1,11,1,17,1,10,1,11,1,10,2,16,1,17,4,16,1,17,1,11,1,17,3,16,1,11,3,17,2,16,1,11,2,9,1,11,1,9,3,11,1,12,1,17,3,12,1,17,1,11,2,17,1,9,1,12,2,10,1,9,1,10,1,9,1,17,1,11,1,12,1,17,1,12,1,17,1,12,2,9,1,17,1,12,1,10,2,9,1,12,3,11,1,17,2,10,1,11,1,17,1,12,1,10,1,11,1,17,2,11,1,17,2,24,1,12,1,17,1,9,1,12,1,9,2,12,1,11,2,9,1,12,1,9,4,10,1,17,2,11,1,17,2,12,1,11,1,17,7,11,1,12,1,17,25,11,1,17,2,16,2,17,1,16,1,17,2,16,3,17,1,16,1,17,1,11,1,17,3,11,1,17,1,12,3,11,1,17,16,16,1,17,2,16,3,17,10,5,52,30,1,28,12,13,1,8,2,24,1,10,1,8,1,24,1,9,1,8,1,7,1,8,1,13,2,8,1,10,2,17,1,12,1,28,6,6,1,11,1,9,1,8,1,28,30,30,1,14,2,9,1,8,1,10,1,11,1,17,1,12,1,9,1,8,1,6,1,29,1,28,2,}, {9,1,17,1,8,1,13,1,6,1,28,1,6,1,24,1,14,1,9,1,28,9,6,1,28,27,6,3,9,1,29,2,8,2,17,1,12,1,6,1,29,1,28,1,30,1,6,1,30,1,10,1,14,1,24,1,8,1,13,4,8,1,24,1,9,1,24,1,6,1,24,1,14,1,12,1,13,1,6,1,13,1,28,1,6,1,7,1,11,1,9,1,16,1,9,1,12,1,11,1,24,2,13,2,14,1,12,1,9,1,24,1,8,1,9,1,8,1,15,1,17,1,9,1,6,1,28,22,6,2,13,1,8,1,12,1,9,1,17,2,14,1,9,1,13,1,6,1,7,1,29,1,6,2,10,1,17,5,11,1,13,2,8,1,7,2,13,2,12,1,9,1,17,3,8,1,29,1,13,1,7,1,6,1,29,1,30,1,28,4,30,1,28,1,30,2,28,1,8,1,17,2,16,2,9,1,11,3,9,2,10,1,13,1,9,1,13,1,9,3,13,2,8,1,13,2,9,1,8,3,9,1,13,1,9,1,10,1,8,1,13,5,9,4,8,1,9,5,16,1,6,2,7,2,6,1,7,1,6,1,7,1,13,2,24,1,9,1,6,1,8,1,6,2,8,2,30,1,8,1,13,1,8,2,24,2,12,1,17,1,9,2,10,2,12,2,9,1,17,1,12,1,17,1,12,1,17,3,12,1,17,10,30,1,28,15,30,1,28,1,7,1,28,3,30,3,28,2,30,1,28,18,30,1,6,1,28,91,30,1,28,19,30,1,28,2,29,3,28,3,30,2,28,1,30,1,29,1,30,1,28,1,7,1,28,2,6,1,28,1,6,4,29,1,7,1,6,1,13,1,8,1,13,1,6,1,24,2,9,1,12,1,24,1,10,1,9,1,12,1,9,1,10,2,9,1,12,1,10,1,9,1,17,6,12,1,17,16,12,2,11,1,17,5,10,1,17,2,10,1,17,2,12,1,17,1,11,1,9,2,17,1,9,1,8,1,12,1,24,2,9,2,24,1,9,1,8,1,12,1,8,1,24,1,9,1,10,1,12,1,24,1,12,1,9,1,10,1,12,1,17,1,10,1,8,1,12,2,17,3,12,1,15,1,17,3,12,1,24,1,12,1,24,1,9,1,10,1,8,1,24,1,7,1,6,1,7,1,6,1,29,2,28,1,6,1,29,1,28,1,30,1,28,12,6,1,28,50,30,1,28,3,30,1,29,1,30,2,6,1,28,1,29,1,30,1,28,9,6,1,28,2,30,1,29,1,30,1,28,1,7,1,29,1,24,1,8,2,24,2,9,1,17,1,8,1,28,34,30,1,28,6,30,1,28,2,6,1,29,1,6,1,30,1,29,1,30,1,6,1,28,29,30,1,6,1,30,2,6,1,7,1,13,1,8,2,13,1,12,1,9,1,24,1,9,1,17,1,12,2,10,1,12,1,8,2,10,1,8,1,12,1,24,1,9,1,8,1,9,1,11,2,9,1,16,1,11,1,16,1,9,1,11,1,16,1,9,2,11,1,13,1,8,1,9,1,11,1,9,3,10,1,9,1,11,2,9,2,11,2,9,2,16,1,9,1,11,1,8,1,9,5,11,1,9,1,11,1,9,3,10,1,11,1,13,1,11,1,8,1,9,1,8,1,9,1,13,2,9,3,8,1,10,1,9,1,8,1,11,1,9,2,16,1,9,1,11,2,9,1,11,1,16,2,17,1,11,2,9,1,11,1,9,1,16,1,17,1,9,2,16,1,11,2,9,1,11,1,16,1,11,1,9,2,10,1,8,2,9,2,11,1,9,3,13,4,6,1,13,1,6,1,13,3,6,1,8,1,9,1,8,1,9,2,13,3,9,1,8,1,9,1,13,2,6,1,13,1,6,1,29,1,6,1,13,1,29,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,7,1,11,1,13,2,9,1,13,1,7,1,13,2,9,1,13,1,8,1,9,1,8,2,10,1,9,1,10,1,12,1,16,1,11,2,16,1,17,2,10,1,17,1,11,1,9,1,10,1,9,1,13,1,11,1,9,1,5,2,33,57,5,366,6,1,13,2,10,1,8,1,12,1,10,1,8,1,10,1,12,1,11,1,12,1,9,1,10,1,9,1,10,1,8,1,9,1,8,1,9,2,12,1,9,2,17,1,12,1,17,1,12,1,17,10,12,1,17,2,12,2,10,2,24,1,8,1,10,1,24,1,9,1,8,1,13,1,24,1,13,1,8,1,24,1,7,1,24,3,17,1,10,1,13,1,9,1,8,2,12,2,17,6,9,4,10,2,11,1,10,1,12,1,11,1,13,1,8,1,13,1,7,2,8,1,9,1,13,1,24,1,9,1,8,1,6,2,8,2,13,2,8,2,13,1,8,2,13,2,8,2,9,1,13,4,9,1,13,1,8,2,9,1,13,1,8,2,13,1,9,1,8,1,13,1,9,1,8,1,10,1,13,1,9,1,11,1,8,1,13,1,9,3,11,2,17,3,16,1,11,8,10,1,11,4,17,1,9,2,10,1,11,1,8,1,9,1,11,1,16,5,11,1,9,1,11,2,13,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,6,2,8,1,13,1,8,1,11,1,30,1,7,1,13,2,9,1,16,1,14,1,16,1,9,1,13,1,6,1,13,5,9,1,11,1,16,1,17,1,16,2,9,1,13,1,28,2,6,1,30,2,28,1,30,2,28,1,30,2,9,1,16,1,17,12,13,1,30,1,6,1,29,2,30,1,29,1,6,1,7,1,29,1,6,1,30,1,13,1,6,1,7,2,13,1,7,1,13,1,7,1,8,1,13,1,7,1,8,1,6,1,29,1,13,1,28,1,8,1,13,1,7,1,13,1,7,1,13,1,29,2,8,1,7,1,6,1,13,1,24,1,7,1,6,2,7,1,6,1,8,1,13,1,8,1,24,1,8,2,10,2,9,1,12,4,8,1,24,2,12,1,24,1,10,1,24,1,12,1,24,1,9,2,10,1,9,1,8,1,12,1,24,4,8,1,10,1,9,1,17,1,24,1,12,1,9,1,24,1,13,1,10,1,24,1,9,2,10,1,9,1,24,1,9,1,8,1,12,1,17,1,8,1,12,2,9,2,10,1,12,1,10,1,8,1,17,1,9,1,17,3,11,1,13,1,16,1,9,2,10,1,9,2,8,1,11,1,8,2,11,1,10,1,12,2,9,1,11,1,10,1,9,2,12,1,9,1,12,1,17,1,9,1,11,1,9,4,11,1,10,1,9,4,11,1,8,2,11,1,8,1,9,2,12,2,11,1,17,1,12,1,17,1,9,1,17,1,11,2,10,1,11,2,9,2,17,1,8,1,9,1,11,2,12,2,17,1,11,1,17,1,12,1,17,4,16,1,9,1,16,1,9,2,17,1,16,1,11,2,16,1,12,1,17,2,12,1,17,2,9,2,12,1,13,1,6,1,7,1,8,1,13,2,6,1,7,1,6,1,7,1,13,1,7,1,6,2,7,1,29,1,13,1,7,1,13,1,6,1,8,1,6,2,13,1,8,1,13,1,8,2,7,1,13,1,30,1,7,1,13,1,7,1,13,3,6,2,8,1,13,1,8,2,24,1,8,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,8,5,9,1,8,1,9,4,11,1,9,1,11,1,10,1,17,1,11,1,16,1,11,5,16,1,17,1,11,4,17,1,16,1,17,1,11,2,17,1,10,1,9,1,10,1,17,1,12,1,9,1,12,2,17,1,11,3,10,1,11,1,17,2,11,1,9,1,13,1,8,1,10,1,9,1,13,1,9,7,10,2,11,1,9,1,12,1,10,2,11,1,17,3,12,1,11,2,17,1,11,1,9,1,10,1,9,1,10,1,8,1,9,1,10,1,9,1,10,1,8,1,9,4,10,2,8,1,9,1,8,1,9,1,13,6,8,1,9,5,17,1,11,3,17,1,11,1,17,32,9,1,11,3,17,1,16,1,17,3,16,1,17,16,16,1,17,1,16,1,17,1,10,1,17,1,12,1,9,1,17,1,10,1,12,1,11,4,17,1,16,1,17,4,11,2,10,2,17,3,16,1,17,1,16,1,11,3,17,1,9,1,11,1,9,1,8,1,11,2,17,1,12,1,17,2,12,1,10,1,9,2,10,1,9,1,12,1,17,1,11,2,10,1,17,1,8,1,12,1,17,2,11,1,17,1,9,1,12,1,17,1,11,1,12,4,17,1,10,1,12,1,10,1,11,1,17,1,9,1,11,1,12,1,9,1,10,1,12,1,9,2,17,1,9,1,12,2,9,1,12,1,9,1,11,3,17,1,12,1,11,2,17,1,11,1,12,1,9,1,17,1,11,1,17,1,9,1,17,7,11,1,17,2,12,1,9,1,17,3,11,1,17,20,16,1,17,5,16,1,17,2,16,1,17,4,11,1,12,1,17,3,12,1,17,3,12,1,17,6,16,4,17,7,11,1,17,16,5,50,28,13,7,1,8,1,9,2,8,1,24,1,13,1,8,2,6,1,13,1,8,1,9,2,13,1,17,1,11,1,17,1,29,1,28,5,6,1,14,1,11,1,6,1,30,1,28,29,6,1,14,2,11,1,9,1,13,1,9,1,17,1,16,1,12,1,13,1,7,1,6,1,28,2,}, {24,1,14,1,8,1,6,1,13,1,6,1,13,1,9,1,17,1,12,1,13,1,28,18,30,1,28,3,30,1,28,4,30,1,28,7,7,1,29,1,6,1,8,1,24,3,13,1,12,1,17,1,10,1,7,1,6,1,30,1,28,1,6,1,7,1,9,1,14,1,12,1,13,1,8,1,7,1,8,2,13,1,24,1,15,1,13,1,8,1,7,1,9,1,11,1,8,1,29,1,6,2,30,1,13,1,12,1,15,1,11,1,9,3,8,1,13,1,7,1,8,2,17,1,12,1,11,1,8,1,9,3,14,2,6,1,30,1,28,20,30,1,28,1,30,1,13,1,24,1,10,1,24,1,17,2,14,1,8,1,6,2,13,1,6,1,13,1,29,1,8,1,17,5,11,1,13,1,8,1,13,3,8,1,13,1,9,1,11,1,17,3,9,1,28,1,6,2,29,1,30,2,28,5,30,2,28,2,8,1,10,2,9,1,11,1,16,1,9,1,11,1,9,1,8,1,13,1,9,1,13,4,6,1,8,1,9,1,6,1,13,1,8,1,13,1,6,1,13,1,9,1,13,1,9,2,13,3,8,1,13,1,8,1,9,1,13,2,9,1,13,1,9,1,13,1,8,1,13,1,9,1,11,2,9,1,8,1,13,1,8,1,13,1,8,1,13,1,24,1,13,2,8,1,24,5,13,1,7,1,8,1,6,1,8,1,13,1,24,1,13,1,24,3,12,1,9,2,12,1,10,2,17,1,10,1,24,1,12,1,17,1,12,1,17,3,12,1,17,5,16,1,17,1,12,1,17,1,12,1,28,20,6,1,28,1,6,1,28,1,30,2,28,21,30,1,28,87,30,1,29,1,6,1,28,1,30,1,28,6,29,1,28,10,30,1,28,4,29,1,28,1,30,1,6,1,29,1,28,2,29,1,30,1,29,1,30,1,29,1,28,1,30,1,29,1,28,1,6,1,28,1,7,1,30,1,6,1,30,1,7,2,29,1,8,1,13,1,8,1,24,1,13,1,24,2,12,1,17,1,12,1,24,1,17,1,9,2,10,2,24,1,12,1,17,3,11,1,12,1,11,1,17,2,11,1,17,4,12,3,17,2,11,1,17,7,11,1,17,8,12,1,17,2,12,1,9,1,24,1,8,2,11,1,8,1,10,1,24,1,13,1,9,1,8,1,12,1,8,1,9,1,10,1,9,1,10,1,12,1,10,1,8,1,24,2,8,1,24,1,9,1,24,1,10,1,12,1,9,1,12,1,10,1,8,1,12,1,11,1,8,1,17,1,9,1,12,1,8,1,9,1,10,1,24,1,10,1,12,1,9,1,24,1,13,1,7,1,6,3,28,2,6,1,28,1,6,1,29,1,28,2,30,1,28,1,30,1,28,57,30,1,28,1,30,1,28,2,29,1,6,1,30,1,7,1,29,1,28,1,29,1,28,1,30,2,28,2,30,1,6,1,29,1,30,3,6,1,28,3,29,2,30,1,6,1,7,2,9,2,8,1,9,1,12,2,9,1,6,1,28,1,30,1,28,29,30,1,28,3,29,2,28,3,30,1,28,2,30,1,28,1,6,1,29,1,6,1,28,4,30,1,28,26,30,3,6,1,30,1,13,1,10,1,24,2,8,1,9,1,24,1,10,1,12,1,9,1,10,1,9,1,17,1,12,1,10,1,8,1,11,1,8,1,10,1,8,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,4,9,1,10,1,9,1,13,1,11,1,9,4,11,1,9,2,10,1,9,2,11,1,9,1,11,1,9,1,11,1,10,1,9,3,11,1,9,3,11,2,9,5,13,1,9,2,8,1,9,2,10,1,9,4,8,2,9,3,11,1,9,1,8,1,9,1,11,1,9,1,13,1,9,1,16,1,9,1,16,2,9,1,16,1,9,4,11,1,9,1,11,1,10,1,16,1,11,2,9,1,16,1,11,1,9,1,8,1,9,1,11,1,9,1,11,3,16,1,11,1,8,1,9,2,13,2,6,1,9,1,6,1,9,1,6,1,13,5,8,1,13,4,7,1,13,2,9,1,8,2,13,7,29,1,13,2,30,1,6,1,8,1,9,2,8,1,16,1,13,2,8,1,9,2,8,2,13,1,9,1,13,1,8,3,13,1,8,1,13,1,9,1,8,1,9,2,10,1,13,1,17,2,10,1,16,2,17,1,11,1,16,1,10,1,11,1,9,1,17,1,9,1,11,1,9,4,33,1,5,2,33,56,5,365,13,2,9,2,10,1,9,1,10,1,12,1,9,2,11,1,8,1,9,1,24,1,10,1,8,1,24,1,9,1,10,1,8,1,11,1,24,1,10,1,12,3,17,8,12,1,17,5,12,1,9,1,10,1,12,1,10,1,9,1,8,1,24,2,8,1,24,1,13,2,24,1,13,1,8,3,10,1,17,1,10,1,6,1,8,1,13,1,24,1,13,1,17,1,12,3,17,1,12,1,17,1,12,1,9,1,10,1,13,1,9,1,8,1,10,1,11,1,9,1,13,1,7,1,30,1,13,2,6,1,8,1,7,2,8,1,13,1,8,2,7,1,13,3,8,2,13,1,8,5,13,2,7,1,24,1,13,1,9,1,13,2,9,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,8,4,10,1,13,1,9,3,8,1,10,1,9,1,13,1,11,1,9,1,11,1,16,2,11,2,16,3,11,1,16,1,11,2,16,1,9,1,16,1,11,2,16,1,11,1,9,7,10,1,11,4,9,1,11,2,8,2,13,4,8,1,13,1,8,3,13,3,8,1,13,1,8,1,17,1,6,2,13,2,16,3,17,1,16,1,9,1,6,1,13,1,6,1,13,4,9,2,16,1,17,3,16,1,6,1,28,1,30,1,28,2,6,1,30,2,28,1,30,2,6,1,13,1,16,2,17,11,29,1,6,1,28,2,6,1,30,1,6,1,29,2,6,2,7,1,8,1,6,1,24,1,13,1,8,2,6,1,13,1,6,2,7,1,6,2,7,1,29,1,30,2,8,1,6,1,29,1,8,1,6,1,13,2,29,1,8,1,29,1,8,1,7,3,8,2,13,1,8,1,13,1,7,1,13,2,8,2,10,1,13,1,9,3,24,1,9,1,12,1,8,1,10,2,12,1,10,1,9,1,12,1,8,1,24,1,9,2,11,1,10,1,12,1,11,1,24,1,10,1,8,1,12,1,10,1,12,2,9,2,24,1,9,2,11,1,9,1,24,1,13,1,10,1,9,2,24,1,9,1,12,1,24,1,11,2,17,1,11,1,17,1,10,1,24,1,11,2,17,2,11,1,17,1,9,1,12,1,10,1,12,1,10,1,11,1,9,1,10,1,9,1,11,1,24,1,13,1,9,2,11,1,10,2,17,1,9,1,10,1,11,1,10,2,12,1,9,1,16,1,9,1,12,1,10,1,12,1,9,1,10,1,12,1,16,1,9,2,11,1,8,1,11,1,12,1,10,1,12,2,16,2,11,1,17,2,11,1,17,1,10,1,17,1,16,1,17,1,8,1,17,1,11,1,9,1,11,2,12,2,17,5,12,2,17,3,11,2,12,1,9,1,11,1,16,1,10,1,17,1,16,1,10,1,12,1,17,1,9,1,11,1,17,3,12,1,17,1,11,1,13,1,8,1,13,1,8,1,7,2,13,1,7,4,6,2,29,1,6,2,8,1,6,2,8,1,6,2,13,1,7,1,13,2,6,1,29,1,7,1,13,1,6,1,13,2,7,1,6,1,7,1,8,1,7,1,13,1,8,1,13,2,8,1,13,4,8,2,13,2,8,2,13,1,9,1,13,2,9,2,8,1,11,1,10,1,9,4,17,2,16,3,11,1,9,1,11,1,9,1,10,1,11,1,16,1,11,1,17,1,16,1,17,2,11,2,16,1,11,2,16,1,9,1,12,1,11,1,9,2,11,1,10,1,11,1,9,2,11,2,12,1,11,1,10,1,8,1,13,1,8,2,13,3,9,2,10,1,9,2,11,1,10,1,9,1,11,1,10,1,8,1,9,1,10,1,9,1,11,1,17,1,11,1,17,2,11,1,12,1,11,1,9,4,8,1,9,1,13,1,9,2,8,2,9,2,8,1,9,1,11,1,8,1,9,3,13,2,9,1,13,2,8,1,13,3,8,1,13,1,9,1,10,2,12,1,17,4,12,1,17,1,11,1,17,26,16,1,11,3,17,25,16,1,11,1,17,1,11,1,12,1,11,1,9,1,11,1,10,1,11,2,17,3,11,1,16,1,11,1,17,1,16,1,17,2,16,1,11,1,17,2,16,2,17,1,11,1,17,1,16,2,17,1,11,2,9,1,8,1,10,1,11,1,13,1,8,1,9,1,11,1,12,1,11,1,10,2,17,2,11,1,17,1,12,1,11,1,10,1,12,2,10,1,17,1,8,1,9,2,12,1,11,2,17,2,11,1,17,1,10,2,17,1,11,2,17,1,12,1,17,1,12,2,10,1,17,1,10,1,11,1,9,2,12,1,9,1,11,1,9,1,11,1,17,1,12,1,10,1,12,2,9,1,10,1,17,1,9,1,11,1,9,1,17,1,12,2,11,2,17,1,11,1,17,4,11,1,17,2,12,1,17,1,10,1,17,1,12,1,11,1,12,1,17,26,11,1,17,7,16,2,17,1,12,1,17,4,12,1,17,8,11,2,17,1,11,1,17,19,16,1,11,3,17,3,16,1,5,47,28,13,29,1,11,1,9,1,24,1,8,1,7,1,8,2,7,1,29,1,6,1,13,2,8,1,9,1,12,1,17,1,12,1,6,1,28,5,6,1,14,1,9,1,30,1,28,30,9,1,14,1,17,1,9,1,24,1,13,1,9,1,17,2,12,1,13,1,6,1,30,2,28,1,}, {9,1,15,1,10,1,13,1,29,2,13,1,8,1,17,1,9,1,30,1,28,8,30,1,28,26,6,1,28,1,6,1,13,2,24,1,13,1,9,1,12,1,17,1,11,1,8,1,28,1,6,1,28,1,30,1,6,1,10,1,17,1,9,1,13,2,8,2,6,1,24,2,8,2,6,1,13,1,17,1,10,1,24,1,29,1,6,2,29,1,7,1,11,1,15,1,8,2,9,2,13,1,8,1,24,1,13,1,9,1,17,1,12,1,10,1,13,1,24,1,13,1,14,2,15,1,6,1,28,5,29,1,28,16,29,1,28,1,8,1,9,1,11,1,9,1,12,2,17,1,8,1,6,2,29,1,6,1,29,1,13,1,6,1,17,4,12,1,13,5,8,2,24,1,10,1,17,3,16,1,12,1,6,4,30,2,28,4,30,1,28,1,8,1,28,2,7,1,12,1,11,2,10,1,11,2,9,1,8,1,9,1,13,1,9,1,13,2,9,1,13,1,9,1,13,2,9,1,11,1,13,3,9,1,13,4,9,1,13,1,9,2,13,2,8,1,9,1,13,1,9,1,13,2,9,4,16,2,13,2,9,1,8,1,9,1,24,4,8,1,9,1,8,1,10,1,9,1,10,1,12,1,24,2,8,1,24,1,8,1,24,1,9,1,24,1,8,1,24,2,8,1,24,2,8,1,10,1,8,1,12,1,9,1,12,1,9,1,12,1,10,1,17,10,16,2,17,1,12,1,7,1,28,16,30,1,28,1,30,1,28,1,6,2,28,24,30,1,28,94,30,1,28,1,30,1,28,3,30,2,28,2,29,1,28,5,30,1,28,2,6,1,28,1,6,1,28,1,30,1,6,1,30,1,6,1,30,2,28,1,30,1,29,1,30,1,28,1,29,1,28,1,6,3,28,1,7,1,6,2,8,1,7,2,13,1,8,2,12,1,8,1,12,1,9,1,17,1,10,1,9,1,12,1,9,1,10,1,17,1,9,1,17,1,10,1,17,1,12,1,9,1,17,8,9,1,17,17,12,1,17,7,9,2,12,1,9,1,12,1,8,1,24,1,8,2,13,1,7,1,9,1,24,1,9,1,24,4,8,3,9,1,12,1,9,1,12,1,24,1,12,1,9,1,24,2,10,1,24,3,17,1,12,1,17,2,12,1,17,1,8,1,9,1,24,1,10,1,9,2,24,1,7,2,13,1,6,1,29,2,30,1,29,1,28,2,29,1,28,5,30,1,29,1,28,5,29,1,28,2,30,1,28,51,30,3,6,1,28,1,30,1,6,1,30,1,7,1,28,2,30,1,28,1,29,1,30,1,28,6,29,1,28,1,29,3,7,1,8,1,7,1,24,2,13,1,8,1,12,1,17,1,30,1,28,2,30,1,28,25,30,1,28,3,29,1,30,1,28,6,30,1,28,3,30,1,28,1,29,2,30,1,6,1,28,2,30,1,28,27,30,1,28,1,6,1,29,1,8,1,6,1,13,1,9,1,13,1,8,1,12,1,24,1,9,2,8,1,11,1,12,1,8,1,24,1,17,1,8,1,9,1,8,1,24,1,8,1,9,1,11,1,9,1,11,1,10,1,11,2,9,1,11,3,17,1,9,6,13,1,9,2,11,1,10,1,9,3,11,3,9,1,16,2,9,5,11,1,9,2,11,1,9,4,16,1,8,1,9,1,11,1,9,3,11,3,9,2,11,1,9,2,11,2,8,1,9,1,11,1,9,1,8,1,13,1,9,1,13,1,16,1,11,2,9,2,10,1,16,2,11,1,10,1,11,2,9,3,11,2,9,2,11,1,9,1,16,1,11,1,16,1,11,1,9,2,11,4,8,1,9,2,13,2,6,1,13,2,6,1,13,1,6,1,29,1,8,1,13,2,6,1,13,1,7,1,13,1,8,2,13,1,6,1,13,3,6,1,9,1,8,1,13,1,8,1,29,1,13,1,8,1,13,1,29,1,8,1,13,2,9,2,13,1,9,1,8,1,9,1,13,1,9,2,13,1,9,2,8,1,9,1,13,2,8,2,13,2,11,1,8,1,9,1,8,1,9,1,11,1,16,1,9,1,11,1,17,4,10,2,17,1,11,2,17,1,11,2,10,1,11,1,9,1,5,2,33,57,5,365,6,1,30,1,7,1,8,2,9,5,24,1,12,1,8,1,9,2,10,2,24,3,9,1,10,1,12,1,8,1,9,2,17,4,12,2,17,3,12,1,17,1,12,2,11,1,10,1,24,1,10,1,8,1,10,1,12,1,9,1,24,1,8,1,9,1,7,1,24,1,13,1,24,1,7,1,24,1,8,1,13,1,12,1,10,1,7,1,29,1,24,1,10,1,24,1,9,1,10,1,12,1,24,1,12,1,10,1,17,3,9,1,8,1,24,1,8,1,9,1,13,1,6,1,13,2,30,1,13,1,6,1,30,1,7,2,6,1,8,1,13,1,8,1,7,1,6,1,7,1,13,2,6,1,8,1,6,1,13,7,8,2,6,1,9,1,8,1,9,1,8,1,13,6,8,1,13,1,9,1,13,1,8,1,10,1,8,1,9,3,8,1,9,1,10,1,9,2,8,1,13,1,9,3,11,1,16,1,11,1,17,1,16,3,11,1,16,1,11,1,16,1,11,3,17,1,11,2,9,1,11,1,9,2,11,1,9,1,11,1,16,1,17,1,16,1,11,1,8,1,11,2,8,2,13,1,8,1,7,1,13,2,8,1,13,1,8,1,13,2,9,1,13,2,8,1,13,1,11,1,13,1,6,3,9,1,11,1,9,1,16,2,17,1,13,2,6,2,13,1,6,1,13,2,9,2,16,1,17,1,16,1,17,1,16,1,9,1,30,1,6,1,30,1,6,1,30,2,6,2,28,1,6,1,13,2,9,1,16,1,17,10,10,1,13,1,30,1,28,1,30,1,6,1,29,3,6,1,7,2,25,1,8,2,13,2,8,1,6,1,13,1,6,1,8,1,6,2,8,1,29,1,30,1,6,2,8,1,6,1,7,1,6,1,13,1,30,1,6,1,7,1,6,2,29,1,8,1,24,1,13,1,30,1,13,2,8,5,13,1,8,2,9,1,24,1,9,2,12,1,17,1,10,1,9,1,24,2,12,1,24,1,11,1,9,4,12,1,17,1,10,1,24,1,8,1,17,1,10,1,9,1,10,1,24,2,9,1,8,1,10,1,17,1,24,1,9,1,13,1,12,1,11,1,24,1,10,1,9,1,12,1,24,1,9,1,12,1,8,1,9,1,10,2,24,1,10,1,13,1,8,1,10,1,17,2,11,1,9,4,10,2,11,1,12,1,8,1,10,1,8,1,10,2,9,1,10,1,12,3,10,1,24,1,12,2,11,1,8,1,17,1,8,1,17,1,11,1,17,1,9,1,8,1,11,1,9,1,16,1,9,1,16,1,9,1,11,1,10,1,11,3,16,1,11,1,17,1,11,1,12,1,17,4,11,3,16,1,17,1,11,1,10,1,12,1,10,1,17,1,12,1,17,2,12,2,17,1,9,1,17,1,11,3,12,2,10,1,12,1,11,3,10,1,17,1,10,2,16,1,10,1,9,1,11,1,10,1,17,2,10,1,17,2,10,1,8,2,13,1,6,1,24,1,8,1,13,1,29,1,8,1,13,1,6,1,7,1,6,2,13,1,29,1,7,1,13,1,7,1,13,1,7,1,6,1,13,3,8,1,6,2,8,1,6,1,7,1,6,1,7,1,13,2,7,1,13,1,8,1,13,1,8,6,13,2,9,1,8,1,13,2,8,1,13,1,9,1,10,1,13,1,9,2,8,1,13,1,9,1,8,2,10,2,16,2,17,1,16,3,11,3,9,1,16,1,10,1,11,1,16,1,17,1,16,1,17,1,11,2,17,1,11,8,9,3,10,1,9,1,11,2,10,1,11,1,10,1,17,1,8,1,6,1,13,2,8,1,13,2,8,1,9,2,10,1,8,1,10,1,8,1,9,3,8,1,10,1,9,3,12,1,11,1,17,3,11,2,9,1,8,1,9,3,13,2,9,1,8,1,13,1,9,4,10,1,9,5,8,1,13,1,9,1,7,1,13,1,7,1,13,1,7,1,13,2,7,1,13,1,8,1,9,2,11,3,17,2,12,1,17,3,12,1,17,1,11,1,17,19,16,6,17,28,12,1,10,1,11,2,17,1,12,1,11,1,17,1,16,1,17,2,16,1,17,5,16,1,11,1,16,1,17,2,16,2,17,1,11,1,16,2,17,1,16,1,17,2,11,2,10,1,11,1,9,1,11,1,9,1,13,1,17,1,9,1,10,1,17,1,11,1,17,2,11,2,10,2,11,2,17,1,12,1,9,1,17,1,10,1,17,1,11,1,10,1,9,1,17,2,12,1,17,1,12,1,11,1,17,1,11,1,17,2,9,1,17,3,11,3,12,1,11,2,13,1,11,1,9,1,11,1,17,1,12,1,9,1,12,1,11,1,17,1,9,2,17,1,10,1,9,2,12,1,11,1,9,1,17,2,12,3,17,1,11,1,12,1,17,7,12,1,17,3,11,1,17,24,16,1,17,1,16,1,17,2,16,1,17,11,12,1,17,1,11,1,17,5,11,1,17,2,16,2,11,2,17,6,12,2,11,1,17,1,12,1,17,3,11,1,17,1,16,2,11,1,16,1,17,4,16,3,5,43,13,1,28,2,30,1,28,9,13,1,24,1,10,1,9,2,13,1,8,1,13,1,7,1,29,1,7,1,6,1,13,1,24,1,8,1,17,2,16,1,30,1,28,5,13,1,16,1,12,1,29,1,28,1,30,1,28,28,8,1,17,2,10,1,13,1,8,1,16,1,17,2,8,1,6,1,13,1,6,1,30,2,}, {12,1,17,1,8,1,6,1,9,1,7,1,6,2,12,1,15,1,6,1,28,5,30,1,28,9,30,1,28,5,30,1,28,2,30,1,28,9,29,1,28,2,29,1,7,1,13,2,8,1,9,1,10,1,17,1,12,1,13,1,30,1,28,1,30,2,28,1,24,1,17,1,24,1,8,1,13,1,8,1,7,1,8,1,13,1,24,1,8,1,13,2,8,1,14,1,12,1,13,1,30,1,6,2,30,1,6,1,12,1,9,1,8,2,9,2,8,2,13,1,6,1,17,1,10,1,9,1,10,1,24,1,9,1,8,1,15,1,14,1,15,1,6,1,28,5,30,1,28,17,29,1,8,2,24,1,11,1,24,1,17,2,7,1,6,2,13,1,6,2,7,1,13,1,17,4,8,2,7,1,6,1,13,2,24,1,9,1,13,1,17,1,12,2,17,2,24,1,6,2,30,2,29,1,30,1,28,5,30,1,28,3,9,1,11,1,17,1,11,2,16,1,10,1,9,3,13,1,9,2,13,1,8,1,13,1,11,1,13,1,8,1,13,2,11,1,9,1,13,1,8,1,13,1,9,1,13,2,9,1,8,1,13,3,9,1,13,2,9,1,13,1,16,1,8,1,11,5,16,1,11,1,16,1,17,1,12,1,17,1,10,3,24,1,8,1,10,1,24,1,10,1,24,1,12,1,8,1,10,4,24,1,12,1,13,1,8,2,12,1,24,2,12,1,8,1,9,1,12,1,10,1,24,1,10,2,9,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,6,12,1,16,1,17,1,6,1,28,17,30,2,28,2,6,1,28,1,30,1,28,1,30,1,29,1,28,13,30,1,28,1,30,2,28,3,29,1,28,85,30,1,28,4,30,1,28,2,30,1,28,1,29,1,30,1,28,3,30,1,28,1,29,1,28,3,30,1,28,1,29,1,28,1,30,1,28,1,29,2,30,1,29,1,28,3,29,1,7,1,30,1,29,1,30,1,29,1,30,4,28,1,6,1,29,1,6,1,7,1,29,1,28,1,6,1,13,1,24,1,8,1,7,1,24,1,8,1,10,1,9,3,24,1,10,1,24,1,12,1,24,1,12,1,9,1,11,1,17,1,11,1,12,1,17,5,11,1,17,1,12,1,17,1,11,1,17,8,11,1,17,2,12,1,17,2,12,1,17,6,12,1,11,1,10,1,9,1,17,1,24,1,9,1,24,1,9,1,8,1,9,1,12,1,24,1,12,1,9,2,8,1,9,1,10,1,8,1,13,1,12,1,24,2,9,1,8,2,24,2,10,1,9,2,12,1,24,2,12,1,24,1,9,1,17,2,9,1,17,3,10,1,24,1,8,1,12,1,24,1,9,1,24,1,6,1,8,1,6,1,30,1,6,1,29,1,6,1,30,1,29,1,28,2,30,1,28,5,30,1,28,1,30,2,28,1,30,3,28,1,30,1,28,30,13,1,28,19,30,2,28,1,29,1,6,1,28,1,7,1,6,1,29,1,30,2,28,2,30,1,28,2,29,1,28,2,29,1,28,2,29,1,28,1,6,2,13,1,6,2,8,2,24,1,8,1,9,1,12,1,17,1,30,1,28,35,29,1,30,1,28,3,29,1,30,1,28,1,29,2,6,1,28,1,6,1,29,1,28,30,30,2,28,1,7,3,13,1,8,2,9,1,10,1,12,2,9,1,17,1,10,2,12,1,9,3,8,1,11,1,24,1,8,1,13,1,9,1,11,2,9,1,10,1,11,1,9,3,11,1,16,1,9,1,11,1,9,2,13,1,9,4,13,1,11,1,8,1,9,1,11,2,9,1,11,1,9,2,11,1,10,1,9,1,11,1,10,1,9,2,11,1,13,1,9,2,11,2,9,5,13,1,11,2,9,1,11,2,16,1,11,5,16,1,11,4,8,1,11,1,9,5,16,1,11,4,16,2,11,1,9,2,16,1,11,1,8,1,11,1,10,1,9,3,16,1,9,1,16,1,10,1,11,2,10,1,11,1,10,1,13,1,9,1,8,1,9,1,13,7,8,1,6,1,8,1,13,1,8,2,13,4,9,1,13,4,8,1,9,2,8,1,9,1,13,1,8,1,13,2,8,1,13,2,29,1,13,2,9,1,13,1,9,3,8,1,9,1,13,2,8,1,11,1,9,2,8,1,13,1,9,1,13,1,9,1,13,1,8,1,11,1,10,1,17,1,12,1,8,3,11,2,17,2,16,1,17,3,16,1,9,2,8,1,11,1,8,1,13,3,6,1,33,2,5,1,33,57,5,364,6,1,29,1,7,1,13,1,9,1,8,1,10,1,8,1,9,1,10,1,24,1,12,1,10,1,24,1,10,1,24,1,10,1,9,2,8,1,24,1,10,1,8,1,10,1,9,1,12,1,17,2,10,1,12,1,17,1,12,2,17,1,12,1,17,1,12,4,9,1,24,2,9,1,12,1,9,1,12,1,10,1,9,1,13,1,24,1,13,1,8,1,7,1,24,1,7,1,9,1,17,1,13,2,6,1,8,1,24,1,10,1,24,1,9,1,10,2,24,2,11,1,17,1,9,1,24,1,9,1,8,1,13,1,7,1,6,1,13,1,8,1,13,1,8,1,13,1,7,1,13,2,30,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,8,1,13,6,6,1,24,2,7,2,24,1,7,1,13,3,7,1,13,1,9,1,13,1,6,1,9,1,13,1,8,2,13,1,9,2,8,2,9,1,8,1,11,1,9,4,11,1,9,4,11,1,9,1,16,1,11,1,16,3,11,1,16,1,17,1,16,2,11,2,17,1,11,4,10,1,9,4,11,2,16,1,17,1,11,1,16,1,11,1,9,1,13,1,9,1,7,2,8,1,13,2,8,1,13,3,9,1,13,1,9,1,8,2,9,1,17,1,6,1,28,1,13,1,6,1,13,1,9,2,16,2,17,2,16,1,6,2,13,2,6,2,9,1,13,2,16,2,17,2,16,1,9,1,6,2,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,30,1,13,1,9,1,16,1,17,9,7,1,30,1,28,1,30,2,28,1,30,1,6,1,28,1,29,2,30,1,25,1,29,1,6,1,7,1,25,1,7,1,8,1,7,1,13,1,29,2,25,1,29,1,6,1,29,2,6,2,29,1,6,1,7,1,29,1,6,2,7,1,13,1,7,2,13,1,24,1,7,1,13,1,24,1,13,1,6,1,8,2,6,1,9,1,13,2,8,1,13,1,11,1,12,1,10,1,24,1,12,1,10,1,9,1,24,1,11,1,12,1,24,1,10,3,11,1,10,2,9,1,10,1,24,1,12,1,8,1,24,1,10,1,24,1,17,1,8,1,12,1,9,2,12,1,9,4,10,1,9,1,10,1,9,1,24,1,12,1,8,2,24,1,9,1,8,1,9,1,10,1,13,1,12,1,11,1,9,1,8,1,12,1,11,1,9,1,12,2,10,1,9,1,12,1,9,2,8,1,10,1,9,2,17,1,9,2,8,1,9,1,11,1,9,1,17,1,9,1,17,1,10,1,12,1,9,1,10,1,9,1,16,1,11,1,8,1,11,1,9,1,11,1,10,1,16,1,9,1,16,1,11,2,17,2,16,1,11,1,17,1,16,1,17,1,16,1,17,1,12,1,16,1,11,1,16,1,17,1,11,1,9,1,17,1,11,1,9,1,16,1,11,1,17,6,12,2,11,1,9,1,12,1,11,1,17,2,9,1,10,1,17,1,12,1,16,1,9,1,17,1,11,2,12,1,17,2,16,1,17,4,12,1,17,1,9,1,8,1,9,1,13,2,8,1,6,2,7,1,29,1,7,1,13,1,29,1,6,1,29,2,30,1,6,1,7,1,6,1,13,2,7,2,6,1,13,1,6,3,13,2,6,1,13,1,29,1,7,1,13,1,6,1,7,1,6,1,13,2,24,1,7,1,8,5,9,1,13,1,9,1,8,1,10,1,13,2,8,1,13,2,9,2,8,1,10,1,9,1,11,2,16,4,11,4,16,1,11,2,16,1,10,1,17,1,11,2,17,1,11,1,17,1,11,2,10,1,9,1,11,3,17,1,11,1,9,2,10,3,11,1,10,1,17,1,11,3,9,1,13,2,6,1,30,1,13,3,8,2,10,1,8,1,9,6,11,1,13,1,9,2,11,1,17,1,12,1,11,1,17,1,11,2,10,1,9,4,8,1,13,2,8,1,9,2,13,1,9,3,10,1,11,1,9,4,13,2,9,1,13,2,28,2,6,1,13,1,6,1,13,2,9,1,8,2,11,3,12,1,11,1,17,2,11,3,17,2,10,1,11,1,9,2,17,13,16,1,17,1,11,1,16,2,17,7,16,1,17,29,11,1,16,2,17,1,16,1,17,9,16,1,11,1,17,3,16,1,17,2,16,1,17,1,11,1,16,2,17,1,11,1,16,1,9,1,11,1,9,1,13,1,9,1,11,2,10,1,12,1,17,1,11,1,9,1,11,2,12,1,11,1,12,1,9,1,17,1,11,1,9,1,17,1,11,1,12,1,9,1,17,1,11,3,12,1,11,2,12,1,17,1,9,1,11,1,17,1,9,1,12,1,9,1,17,1,8,1,17,1,13,1,9,4,8,1,17,1,9,1,11,1,12,1,11,2,17,1,8,1,17,1,9,3,12,1,10,1,17,1,9,1,12,1,11,1,17,1,9,1,11,1,17,3,9,1,17,2,12,1,17,3,12,1,17,2,11,1,17,1,12,1,17,46,11,2,17,1,11,1,17,1,16,1,17,3,12,1,17,2,12,1,17,10,16,3,17,1,11,3,17,9,13,3,5,36,13,1,28,4,30,1,28,5,30,1,28,1,6,1,12,1,11,1,24,1,8,1,13,2,8,1,13,1,29,1,6,1,13,1,6,1,8,2,12,1,16,1,17,1,30,1,28,5,13,1,11,1,14,1,6,1,28,30,9,1,17,1,10,1,11,1,8,1,13,1,12,1,17,2,10,1,13,2,28,3,}, {9,1,12,1,10,1,8,1,13,2,7,1,8,1,11,1,15,1,6,1,28,34,30,1,29,1,6,1,30,1,8,1,6,1,8,2,9,1,8,1,12,1,17,1,7,1,6,1,30,1,28,1,29,1,28,1,8,1,17,1,12,1,8,1,13,1,8,1,6,2,7,1,8,2,24,1,29,1,13,1,17,2,13,1,29,1,6,1,30,2,13,1,10,1,9,2,8,1,10,1,8,1,9,1,13,3,17,3,12,1,9,1,8,1,24,1,10,1,14,1,15,1,7,1,29,1,28,22,30,1,13,1,9,1,24,1,10,2,17,2,24,1,6,1,7,2,6,2,8,1,9,1,16,1,12,1,9,1,17,1,11,1,13,2,7,1,13,2,8,3,12,1,17,3,16,1,9,1,6,1,28,1,30,4,28,6,6,1,28,2,9,1,11,1,17,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,16,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,6,9,11,11,1,9,2,16,1,17,3,11,1,13,1,7,1,6,1,30,2,28,1,30,1,6,1,28,1,30,1,7,1,29,1,8,1,24,1,12,3,17,3,12,3,24,1,17,1,10,3,12,1,24,2,9,1,24,1,9,1,10,2,11,1,17,1,10,1,12,1,10,1,17,2,12,1,17,7,11,1,13,1,28,16,30,1,28,1,29,1,28,1,30,2,28,2,30,2,28,15,6,1,28,1,30,1,28,1,30,3,28,90,29,1,28,1,29,1,28,1,7,1,30,1,28,1,6,1,28,1,30,1,28,2,30,3,29,1,6,2,30,1,6,2,29,1,30,1,29,1,6,1,30,1,6,1,28,1,6,1,29,1,6,2,30,1,29,1,28,2,6,1,30,1,6,1,28,2,6,2,7,2,13,1,29,1,24,1,30,1,8,1,24,2,8,1,24,2,9,1,17,1,12,1,17,1,12,2,9,1,13,1,10,1,12,1,11,1,10,1,11,1,17,1,10,1,17,7,12,2,17,1,11,1,17,2,11,1,17,1,12,2,17,1,8,1,17,8,12,1,17,2,24,1,11,1,24,1,17,1,9,1,8,1,10,1,12,1,10,1,13,1,8,1,24,1,8,2,9,2,24,1,10,2,24,1,9,1,8,2,24,1,10,1,12,1,8,1,12,1,8,1,9,1,8,1,9,1,10,1,12,1,24,1,17,1,9,1,12,2,17,3,11,1,12,1,11,1,12,1,11,1,10,1,12,1,9,1,24,1,7,2,29,1,6,1,29,1,30,1,6,1,28,2,30,2,28,1,30,1,28,1,30,1,28,6,30,1,28,1,30,1,29,1,28,1,30,1,28,48,29,1,28,1,30,1,28,1,29,1,28,1,6,2,29,1,28,1,6,2,28,1,30,3,28,1,29,1,28,5,29,1,6,3,7,1,8,1,13,1,10,1,8,1,24,1,9,1,8,1,17,1,24,1,28,37,30,1,28,1,30,1,28,3,30,2,28,1,29,1,30,1,29,2,30,2,28,26,30,1,28,1,6,3,8,1,6,1,13,1,8,1,13,1,8,1,9,1,10,1,9,1,12,1,17,1,11,1,9,1,10,1,13,1,17,1,12,1,24,1,9,1,8,1,24,1,8,1,13,1,11,4,10,1,9,4,11,1,9,8,8,1,9,5,10,1,11,1,9,2,11,1,9,4,11,1,9,4,8,1,9,3,11,1,9,3,11,2,9,4,11,2,9,2,16,1,11,3,16,2,11,2,9,5,8,2,9,2,13,1,9,2,11,1,16,2,11,1,9,1,11,1,9,1,13,1,16,1,11,3,16,1,9,1,11,2,9,2,11,1,10,1,9,1,8,1,13,2,8,2,13,3,6,1,13,1,8,1,13,2,9,1,13,1,7,1,13,1,9,1,13,1,9,1,13,1,8,2,9,1,13,1,7,1,9,1,13,2,11,1,13,2,6,1,13,1,7,1,9,4,11,1,9,2,13,1,9,1,8,2,13,1,9,4,16,1,11,1,13,1,10,1,9,2,8,2,9,2,13,1,8,2,10,1,8,1,9,1,10,1,9,4,16,3,17,1,11,1,16,1,9,1,11,1,9,4,10,1,13,1,9,1,13,2,33,2,5,1,33,57,5,364,6,2,13,1,10,1,24,1,10,1,9,1,12,1,9,1,24,1,10,2,9,2,8,1,10,1,24,1,10,1,8,1,7,1,8,2,10,1,9,1,24,1,12,1,17,1,12,1,10,1,12,1,17,1,12,1,9,1,12,2,10,1,9,1,10,1,12,1,9,1,12,1,9,1,10,1,24,2,12,1,9,1,24,2,13,2,9,1,13,1,8,2,10,1,24,1,10,1,24,1,8,2,24,1,12,1,8,1,24,2,8,1,29,1,8,1,24,1,8,1,9,1,13,1,8,1,30,1,28,1,6,3,7,2,29,1,6,1,7,2,6,1,7,1,13,1,8,1,6,1,7,1,6,2,7,1,13,3,6,1,13,1,29,1,6,2,13,1,6,1,13,1,7,1,6,2,8,2,13,1,8,1,13,4,7,1,8,1,13,1,8,1,7,1,8,1,7,1,8,3,11,1,9,1,13,1,9,2,11,1,9,3,11,1,9,5,11,1,16,1,17,1,16,2,11,2,16,3,11,2,16,3,11,1,9,3,11,1,9,1,11,2,16,1,11,2,10,1,9,2,13,6,8,1,7,1,13,3,8,1,13,1,8,2,9,2,16,1,13,1,30,1,13,1,6,1,13,2,9,2,16,2,17,2,13,1,6,1,13,7,9,1,5,1,17,1,16,1,17,2,16,1,9,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,6,2,13,2,9,1,16,1,17,1,16,1,17,6,16,1,8,1,30,3,28,2,30,3,29,1,6,1,29,2,25,1,6,1,25,1,6,2,25,1,6,1,8,1,29,1,8,1,29,1,25,1,29,1,6,2,8,1,7,1,6,1,29,1,13,1,29,1,8,1,6,3,13,1,29,1,7,2,29,1,7,1,13,2,6,1,13,2,9,1,13,1,7,1,24,1,8,2,9,1,10,1,8,1,17,1,10,1,17,3,11,1,10,1,12,1,9,1,10,1,24,1,9,1,17,1,24,1,10,1,9,1,10,1,9,4,24,1,8,1,9,1,24,1,10,3,9,1,10,1,12,1,17,1,10,1,9,1,17,1,10,1,9,2,24,1,11,1,9,1,10,1,12,1,11,1,17,1,10,1,8,1,9,1,17,2,11,2,10,3,8,1,9,2,12,1,11,1,9,2,24,1,8,1,10,1,8,1,9,1,8,1,11,1,9,1,12,1,9,1,8,2,17,1,9,1,11,1,9,1,16,1,17,1,9,1,16,1,10,1,16,1,11,1,10,1,16,1,17,6,9,1,17,1,9,1,17,3,12,1,17,2,16,1,11,1,17,1,11,1,17,1,9,2,12,1,10,1,17,2,11,1,12,1,10,1,24,1,12,1,17,1,11,1,9,1,10,1,24,1,11,1,24,1,10,1,11,1,24,1,11,1,12,1,10,1,12,1,8,1,11,3,17,1,11,1,9,1,17,5,9,1,11,1,13,1,8,2,13,3,8,2,6,1,30,1,7,1,13,1,29,1,6,3,13,1,6,1,7,1,29,1,6,1,8,1,7,1,13,4,6,1,13,2,7,1,24,1,6,1,8,1,29,1,7,1,13,1,7,1,8,1,24,1,8,1,13,1,6,1,8,2,9,1,13,1,8,2,13,1,8,1,9,3,13,1,9,5,16,2,11,1,16,1,17,1,11,1,16,1,11,1,16,2,11,3,9,1,11,2,9,1,11,3,16,2,11,1,9,2,10,1,11,1,10,1,12,1,11,1,9,1,12,1,9,1,11,1,12,1,11,1,9,1,10,1,11,3,12,1,9,1,8,1,9,2,6,2,30,1,13,3,9,4,8,1,13,1,9,1,8,1,9,1,11,1,9,2,10,1,11,2,12,1,17,1,11,1,17,1,10,1,9,2,13,1,8,1,13,1,8,1,13,1,8,2,9,3,8,1,13,1,8,1,9,1,11,1,9,2,8,1,13,1,7,1,13,2,8,1,28,1,6,1,28,1,30,1,29,1,7,2,8,1,7,1,13,2,11,1,12,1,11,1,9,2,17,1,11,1,17,1,11,2,17,1,11,2,17,1,11,1,10,1,12,1,11,1,17,10,11,2,9,1,16,1,11,2,17,31,12,1,17,1,12,1,17,1,11,1,17,2,16,1,17,8,16,1,17,2,16,2,11,1,17,1,16,2,17,4,16,1,17,1,16,1,17,4,9,2,11,1,9,1,8,3,10,1,11,2,12,2,17,1,11,2,17,1,10,1,11,1,8,1,9,1,8,1,17,2,9,1,10,1,12,2,11,1,17,1,11,1,8,1,9,1,11,1,12,1,11,2,9,1,12,1,9,1,12,1,11,2,10,1,17,1,9,2,10,1,11,2,9,1,10,1,11,1,17,1,8,1,11,1,17,1,9,2,17,1,11,1,17,1,11,1,12,4,17,1,12,3,17,1,12,1,17,3,12,1,17,1,16,1,10,1,17,2,16,1,17,1,10,1,17,2,11,1,17,24,16,1,17,13,12,1,17,1,11,1,17,3,11,1,17,1,12,1,17,1,16,1,11,1,17,4,11,1,17,1,12,1,17,12,12,1,16,1,17,2,11,2,17,2,11,1,17,7,9,2,33,1,5,34,13,1,28,12,13,1,17,1,12,1,10,1,13,1,8,1,13,1,8,1,13,1,6,2,29,1,13,2,8,1,10,1,17,1,11,1,28,6,13,1,17,2,7,1,28,2,30,1,28,26,30,1,9,1,17,1,16,1,10,1,8,1,6,1,9,1,17,1,12,1,9,1,8,1,29,1,30,1,28,1,30,1,}, {9,1,17,1,10,1,6,1,7,2,6,2,17,1,9,1,13,1,28,34,29,1,28,1,30,1,28,1,6,1,30,1,7,1,8,1,10,1,9,1,11,1,17,1,6,1,29,2,30,1,28,2,13,1,17,1,24,1,7,1,8,1,24,1,8,1,7,1,8,1,13,1,24,1,13,1,6,1,8,1,17,1,24,1,7,1,30,1,6,2,28,1,8,1,12,1,14,1,13,1,6,1,8,1,15,1,8,1,24,1,8,2,10,1,17,2,9,1,24,1,9,1,8,1,15,1,14,1,15,1,6,1,28,1,30,1,28,1,30,1,28,18,30,2,13,1,24,1,10,1,13,1,11,1,12,1,17,1,13,2,6,2,29,1,6,1,7,2,9,1,12,1,17,1,11,1,17,1,8,1,13,1,29,1,7,1,13,2,8,2,9,1,17,1,12,1,17,1,14,1,8,1,6,1,29,1,30,1,29,1,28,1,30,1,28,6,6,1,28,2,9,1,11,4,9,3,10,1,11,2,9,3,8,2,13,1,9,1,13,2,9,2,13,1,9,1,13,1,9,2,8,3,9,1,13,1,9,2,13,1,8,1,13,2,9,2,16,1,11,1,16,1,12,1,9,1,6,1,28,14,30,2,28,1,6,1,8,1,12,1,10,1,17,2,12,1,17,1,12,2,10,1,17,1,12,1,10,1,9,1,24,1,8,1,11,1,10,2,12,2,10,1,12,3,17,9,10,1,12,1,13,1,28,16,29,1,28,6,30,2,28,12,30,1,28,2,29,1,28,2,30,2,28,2,29,1,28,79,30,1,28,8,30,3,28,2,30,1,28,1,29,1,30,3,28,1,29,1,30,1,7,1,30,1,29,1,28,1,30,1,6,1,28,1,6,1,29,2,6,1,30,1,6,1,28,1,6,2,28,1,6,1,30,1,29,1,6,2,29,1,30,1,7,1,30,1,28,1,29,1,6,1,7,1,30,1,29,1,6,1,29,1,6,1,13,1,6,1,8,1,13,1,10,1,8,1,10,1,9,1,8,1,12,7,17,1,8,1,17,1,10,1,11,1,12,2,17,1,8,1,17,1,12,1,17,4,10,1,12,2,17,3,12,1,17,3,12,1,17,1,11,1,17,2,11,1,17,3,10,1,17,1,9,1,12,1,13,1,8,2,12,1,9,1,17,1,9,1,13,1,8,1,11,1,13,1,24,1,13,3,12,1,24,1,9,1,8,1,24,1,10,1,12,1,24,1,17,1,8,1,10,1,8,1,24,1,10,1,24,1,10,2,17,1,10,1,8,1,17,1,12,2,9,1,17,2,9,1,12,1,9,1,11,1,8,1,12,1,13,1,24,1,8,1,29,1,7,1,6,1,30,1,6,1,30,1,29,1,28,1,30,3,28,5,30,2,28,1,6,1,28,3,6,1,28,2,6,1,30,1,28,45,29,1,28,4,29,1,6,1,30,1,6,1,7,1,28,1,29,1,28,1,7,1,28,1,30,3,28,1,29,1,28,1,30,1,28,3,30,1,29,3,6,1,13,2,24,1,8,1,24,2,17,2,6,1,28,32,30,1,28,3,29,1,28,3,30,1,28,1,30,1,6,1,30,1,28,2,30,3,29,1,28,27,30,1,28,1,6,1,28,2,24,1,30,1,13,1,7,1,9,1,24,1,9,1,24,1,10,2,12,2,11,2,17,1,8,1,12,1,9,1,8,1,9,2,13,1,9,1,11,1,10,1,11,1,16,1,11,1,10,1,9,1,11,1,9,1,11,2,9,1,11,1,9,1,11,1,10,2,9,8,11,3,9,2,11,1,9,2,8,1,9,1,11,1,9,9,13,2,9,9,16,1,11,1,10,1,11,4,9,1,11,1,9,4,8,2,9,1,13,2,9,4,16,1,9,1,11,1,16,1,17,4,11,2,16,2,11,1,16,1,13,1,16,1,9,1,10,1,9,2,8,1,13,2,9,1,8,1,7,1,13,3,9,2,11,1,8,1,30,1,6,1,9,1,29,1,13,3,9,1,8,2,9,2,8,3,13,1,9,1,13,2,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,2,10,1,9,1,10,1,13,2,9,1,13,1,9,1,13,2,9,2,16,1,9,2,10,1,9,2,13,1,9,1,8,3,13,2,9,3,10,2,9,2,10,1,9,2,11,1,9,1,13,1,9,1,8,1,9,4,8,1,9,1,13,2,9,1,33,59,5,364,6,1,29,1,7,1,12,2,10,1,9,1,24,1,9,4,13,1,24,1,8,1,9,1,8,2,13,1,7,1,6,1,9,1,24,2,12,1,8,1,24,1,12,2,17,1,12,1,10,1,12,2,9,1,24,1,17,1,12,2,10,1,8,1,12,1,13,1,24,1,12,1,7,1,13,1,8,1,13,1,8,1,24,1,8,1,13,1,6,1,24,1,12,1,10,1,7,1,8,1,12,1,8,1,10,1,8,1,10,1,24,1,13,1,8,1,9,1,8,3,13,2,28,1,7,1,6,2,29,1,30,1,29,1,7,1,6,1,7,1,6,1,13,1,6,1,7,1,30,1,13,1,6,1,30,1,7,1,29,2,30,1,6,1,13,1,29,1,7,1,6,1,29,1,6,1,30,1,7,1,6,1,8,1,29,1,13,2,6,1,13,4,8,2,13,2,9,1,8,1,13,3,9,2,8,2,9,1,13,1,11,1,10,1,9,7,11,1,9,3,17,2,16,2,17,1,16,2,11,3,9,1,16,1,11,4,9,2,11,4,16,1,9,1,11,2,13,1,9,1,8,1,13,1,8,1,6,1,13,2,8,1,13,7,9,3,13,1,30,1,13,1,6,1,13,1,9,2,11,1,16,1,17,3,14,1,16,1,13,2,6,1,13,3,5,1,13,2,9,1,16,1,17,2,16,2,11,1,6,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,13,3,9,1,16,2,17,7,9,1,28,2,30,1,28,3,30,1,28,2,29,1,27,1,30,1,26,1,6,1,25,1,6,1,25,1,7,1,8,1,30,1,25,1,29,2,13,1,6,1,29,1,7,1,29,1,30,1,6,1,29,1,30,2,7,1,30,1,13,1,7,1,8,1,6,1,13,1,8,1,6,2,8,1,13,1,24,1,8,1,13,1,24,1,8,1,7,1,13,1,8,1,6,1,24,1,10,1,11,1,10,1,17,1,24,1,12,1,17,2,10,1,17,1,9,1,24,1,11,1,17,1,12,1,17,1,10,1,24,2,9,1,10,1,17,1,11,1,12,2,9,1,12,1,24,1,11,1,9,1,17,1,12,1,24,1,9,3,11,2,9,3,8,1,17,1,16,1,17,1,8,1,12,1,24,1,9,2,10,1,24,1,12,1,10,1,8,1,17,1,8,1,17,1,9,1,10,1,8,1,11,1,9,1,11,1,9,3,11,1,9,2,10,1,12,1,11,1,9,1,17,1,11,3,16,3,10,1,11,1,16,1,17,3,16,1,17,1,9,1,17,1,11,1,17,5,10,1,17,2,12,2,16,1,17,2,12,1,17,2,9,1,17,1,10,1,11,3,10,1,9,1,17,1,9,1,11,1,12,1,9,1,17,2,10,1,7,1,12,1,9,1,12,1,9,1,13,1,10,1,9,1,17,1,11,2,9,1,16,1,11,1,17,1,11,1,17,5,12,1,11,2,9,1,8,1,13,1,6,1,13,1,6,1,7,1,29,1,7,1,29,1,6,2,13,1,7,3,13,1,29,1,8,1,29,1,8,1,7,1,13,1,7,1,30,1,13,1,6,1,7,3,13,2,7,1,13,1,7,1,8,1,6,1,13,1,8,1,13,1,24,1,8,2,13,1,9,1,13,2,9,1,8,3,9,4,13,1,10,1,11,2,16,2,17,1,16,2,9,1,16,1,11,1,9,1,11,2,16,1,11,2,9,1,16,3,17,1,11,2,16,1,11,4,17,2,9,1,12,1,11,2,9,1,12,1,9,1,10,1,11,4,9,1,11,1,9,1,13,2,7,1,28,1,13,3,8,1,13,3,8,4,13,1,9,1,8,1,13,1,9,1,13,1,9,2,11,3,17,1,11,1,10,1,9,1,13,1,9,1,13,4,6,1,7,1,13,2,8,2,10,1,9,2,11,1,10,2,9,2,7,1,13,1,29,1,7,1,13,1,30,2,28,2,7,1,6,1,7,1,13,1,8,4,11,1,17,2,11,2,17,1,11,1,17,2,11,1,9,1,11,2,9,1,11,2,12,2,17,6,11,1,16,1,11,2,9,1,11,2,16,1,17,33,11,1,17,18,16,2,11,1,17,7,16,3,17,1,16,1,17,1,11,2,12,1,17,1,12,1,9,1,8,2,12,1,10,1,11,1,12,1,17,1,10,1,9,1,17,1,9,1,17,1,12,1,11,2,9,1,8,1,12,1,17,1,11,1,10,1,11,4,10,2,17,1,10,1,9,1,17,1,11,1,16,1,10,1,12,1,11,1,9,1,17,1,12,1,9,1,11,1,12,1,11,1,9,1,11,3,9,1,12,1,9,2,12,1,9,1,11,1,9,2,10,1,9,2,10,1,9,1,17,1,9,1,12,2,11,2,17,1,16,1,17,2,16,1,17,1,12,1,17,1,12,1,17,2,11,1,17,40,12,1,17,3,11,1,17,1,11,1,17,3,16,1,11,1,17,1,11,1,12,1,11,1,17,1,11,1,17,2,11,1,17,8,12,1,11,2,17,5,11,2,12,1,17,8,16,1,11,1,5,33,33,1,28,12,7,1,16,1,17,1,12,1,24,1,8,1,6,1,13,1,29,1,13,1,6,2,13,2,8,1,10,1,12,1,9,1,30,1,28,5,13,1,14,1,17,1,7,1,28,29,30,1,9,1,17,1,16,1,9,1,8,1,13,1,9,1,17,1,12,1,24,1,8,1,7,1,6,1,28,2,}, {9,1,12,1,8,2,13,1,8,1,13,1,7,1,15,1,12,1,6,1,28,35,29,2,7,1,6,1,13,2,24,1,9,1,10,2,12,1,13,1,30,1,28,1,6,1,28,2,7,1,17,1,11,1,24,1,13,3,9,1,8,1,6,1,9,1,7,1,13,1,8,2,17,1,8,1,30,1,29,2,28,1,8,1,15,1,12,1,9,1,13,1,10,1,13,2,8,1,13,1,8,1,9,1,17,1,12,1,17,1,9,4,14,1,9,1,6,1,28,4,30,1,28,17,30,1,29,1,8,1,9,1,13,1,12,1,10,1,12,1,17,1,24,1,6,2,7,1,6,3,13,1,11,1,16,1,17,1,16,1,9,2,13,3,29,1,7,1,13,1,24,1,9,1,12,1,17,1,14,2,10,1,29,1,28,1,30,1,28,4,30,2,28,1,6,1,28,1,30,2,29,1,9,1,17,1,12,2,9,2,11,2,9,1,8,1,9,2,13,2,9,3,13,1,9,5,8,1,13,1,9,1,13,2,9,2,13,1,9,1,13,3,9,1,13,1,8,1,9,2,11,1,9,1,13,1,28,20,29,1,30,1,7,1,13,1,9,1,10,1,17,1,12,1,10,1,12,2,17,2,11,1,17,1,9,1,10,1,9,1,12,3,17,1,11,1,17,13,12,1,8,1,6,1,28,16,30,1,28,2,29,1,28,4,29,1,28,19,30,1,28,2,30,1,28,86,29,1,30,3,6,4,30,1,28,1,6,1,30,2,28,1,30,1,29,1,30,1,29,1,6,2,29,1,30,1,6,1,30,1,6,1,28,1,29,3,30,1,29,1,7,1,6,1,28,2,30,1,7,2,28,1,29,1,30,1,6,1,29,1,30,2,13,1,7,1,29,1,6,1,13,1,8,1,13,1,7,2,8,1,9,1,24,1,10,1,13,1,10,1,11,1,8,1,10,1,9,1,12,1,9,1,11,1,17,1,12,1,17,1,10,1,11,1,10,1,17,1,12,3,9,1,17,1,9,1,12,1,11,1,17,2,11,1,10,1,17,4,11,2,17,1,12,2,9,1,11,1,12,1,17,1,12,1,10,1,12,1,9,1,10,1,9,3,17,1,9,1,12,1,9,2,8,1,10,1,8,2,24,1,13,1,24,1,8,3,12,1,8,1,9,1,8,2,12,1,24,1,10,1,13,1,17,1,9,2,24,2,17,1,9,1,10,1,9,2,17,1,11,1,12,1,17,1,12,1,24,1,11,2,10,2,24,1,13,1,8,1,6,1,13,1,30,1,6,3,28,2,6,1,28,2,29,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,6,1,30,1,6,1,30,1,28,46,30,1,28,2,6,1,28,1,6,1,7,1,28,1,7,1,29,1,30,1,8,1,13,1,30,1,29,2,28,1,6,1,28,6,29,1,30,1,28,1,7,3,8,1,13,1,24,1,13,1,9,1,12,1,17,2,28,1,30,1,28,30,29,1,28,1,30,1,28,3,6,1,30,1,28,5,29,2,28,1,30,1,6,1,28,1,30,1,28,28,29,2,30,1,29,1,13,1,7,1,8,2,13,1,12,1,9,1,12,1,9,1,11,1,10,1,9,1,10,1,12,1,17,1,9,1,11,1,10,1,8,1,9,1,8,1,13,1,10,1,11,1,16,1,11,5,9,2,11,1,9,2,11,2,9,1,11,1,9,1,11,1,9,5,13,1,11,1,13,1,9,3,8,1,9,1,13,1,9,2,11,1,16,1,9,4,11,1,9,9,16,1,8,1,9,4,11,1,16,1,10,2,9,1,11,2,9,2,11,1,9,8,13,1,9,2,16,2,11,1,16,1,9,3,16,2,11,1,16,2,11,1,16,2,11,1,16,1,9,4,10,2,9,1,13,1,8,1,9,1,16,1,8,1,9,1,10,1,11,1,9,2,13,1,8,2,7,1,13,1,9,1,7,1,13,1,9,3,13,1,9,1,13,1,9,1,8,1,13,1,16,1,9,2,13,1,8,1,10,1,9,2,10,1,9,1,8,1,9,2,8,2,10,1,9,1,13,1,9,1,11,1,10,1,9,2,16,1,12,1,9,1,11,1,8,1,9,2,8,1,9,1,13,1,9,4,8,2,9,1,8,1,13,1,9,1,13,1,8,1,10,1,16,1,9,1,13,1,8,1,9,9,8,1,13,1,5,1,33,59,5,362,13,1,30,2,13,1,8,1,12,1,9,2,8,1,7,1,8,1,13,1,24,1,10,1,8,1,24,1,8,1,24,1,8,2,7,1,24,1,9,1,8,1,24,1,8,2,9,1,10,2,12,4,17,1,10,2,17,1,24,1,9,1,24,1,12,1,9,1,24,2,9,1,8,1,10,1,13,1,24,1,13,1,24,1,7,1,13,1,9,1,24,1,10,1,13,1,24,1,8,1,10,1,8,1,13,2,24,1,7,1,10,1,17,1,8,2,13,2,6,1,30,2,29,1,13,2,28,1,6,2,13,1,29,1,30,1,29,1,30,1,13,1,30,1,7,2,29,2,6,1,7,1,6,4,29,1,6,4,30,1,7,1,13,1,7,1,13,1,6,1,8,1,6,1,13,2,24,1,13,2,8,1,13,1,8,1,6,1,13,1,8,1,9,1,8,1,13,2,9,2,13,1,9,1,11,2,9,2,11,2,16,1,9,1,11,1,9,1,11,3,16,3,17,1,9,1,16,2,9,1,10,1,9,1,16,1,9,1,17,1,11,3,9,1,11,1,9,1,11,1,16,1,11,1,16,1,11,2,9,2,8,1,13,1,9,1,13,3,7,1,13,4,8,2,13,2,9,1,11,1,9,1,28,1,6,1,13,1,6,1,13,1,9,4,16,1,17,3,11,1,6,1,13,1,6,3,13,4,9,1,11,1,17,4,16,1,9,1,6,1,28,1,30,1,28,2,30,1,28,1,30,2,13,3,9,2,17,8,8,1,28,2,30,1,28,2,30,1,6,1,28,1,29,2,30,1,29,1,7,1,6,3,7,1,13,1,6,1,7,1,29,1,30,1,6,3,8,1,29,2,30,1,29,1,30,1,6,1,7,2,6,2,13,1,6,1,13,1,24,1,6,1,13,2,7,1,6,1,8,2,6,1,24,1,30,1,13,2,8,1,13,1,8,1,9,3,10,1,9,1,12,1,11,1,12,1,10,1,9,1,12,1,8,1,17,1,9,2,11,1,17,1,9,2,8,1,9,4,24,1,12,1,10,1,9,1,11,1,9,1,17,2,9,1,17,1,24,1,17,1,9,1,10,1,12,1,9,1,12,1,17,1,12,1,9,1,12,1,11,1,10,1,17,1,9,1,12,1,8,1,9,1,17,1,12,1,9,1,13,1,12,1,10,1,9,1,16,1,12,1,10,2,9,1,8,2,9,1,8,1,11,1,24,1,11,1,17,1,10,1,9,1,12,2,9,1,11,2,17,1,16,1,17,11,9,1,17,2,16,1,17,1,12,1,17,2,12,1,17,1,10,1,17,1,11,1,9,3,8,1,9,1,11,1,9,1,8,1,10,1,12,1,10,1,17,1,24,1,9,1,8,1,12,1,10,1,24,1,8,1,12,2,10,1,9,2,24,1,9,2,17,2,13,1,17,7,11,2,16,1,17,1,11,1,8,1,13,1,9,1,7,1,13,1,7,1,8,1,30,1,6,1,7,1,29,1,13,2,6,1,13,1,29,1,7,1,29,1,7,2,6,1,30,1,13,1,8,1,7,2,6,1,7,1,6,1,7,2,24,1,7,1,13,1,7,1,13,1,6,2,9,1,6,1,8,1,13,1,8,1,13,2,9,1,8,1,9,1,13,1,9,1,13,1,9,4,11,1,9,1,16,3,17,1,16,2,11,1,16,3,9,2,11,1,9,1,11,1,16,1,9,1,16,1,11,1,17,1,16,1,11,4,17,1,11,1,17,1,11,1,17,1,11,2,9,1,17,1,10,1,9,2,11,2,9,1,10,1,11,1,10,1,9,1,8,2,13,2,6,1,13,1,6,1,29,1,7,1,13,2,8,1,9,1,13,2,9,1,13,3,8,1,13,1,7,1,8,1,13,1,10,1,11,1,9,2,10,1,11,1,12,1,11,1,9,1,13,4,9,1,8,1,13,1,8,2,13,2,8,1,9,2,8,1,13,6,7,1,6,1,30,2,28,3,7,1,6,1,13,1,6,1,13,1,9,1,13,1,9,1,10,1,11,1,9,2,11,2,12,1,11,1,17,2,10,1,11,1,9,1,11,1,9,1,11,2,10,1,11,1,12,1,17,2,11,2,17,1,10,1,11,3,16,2,17,31,11,1,17,2,11,1,17,1,11,2,17,18,16,1,17,1,11,1,17,1,16,1,17,7,11,1,17,1,11,1,17,3,10,1,11,1,8,1,9,1,8,1,13,1,9,1,10,1,11,1,17,1,11,1,12,2,11,2,12,1,17,1,9,1,11,2,12,2,9,1,11,1,17,2,9,2,11,1,9,2,11,1,10,1,17,1,9,1,12,3,10,1,9,1,17,1,9,1,17,1,12,2,8,1,10,1,9,1,8,1,11,1,8,1,11,1,10,1,9,1,17,1,9,3,11,1,8,2,9,2,17,2,9,1,17,1,9,1,17,1,12,1,10,1,17,1,10,1,17,1,10,1,12,1,10,1,17,2,12,1,17,1,11,1,17,21,16,1,17,20,12,1,16,1,17,2,16,1,17,1,11,1,17,1,11,2,12,1,17,1,12,1,11,1,17,3,11,1,12,1,17,5,12,2,17,5,16,1,17,3,11,1,12,1,17,9,11,1,5,31,33,1,28,12,24,1,17,2,9,1,13,2,7,1,29,1,7,1,13,1,6,1,7,1,6,1,13,1,8,1,9,1,17,1,13,1,30,1,28,5,13,1,17,2,30,1,28,30,12,1,17,1,16,1,13,2,7,1,10,1,12,2,9,1,13,1,28,1,29,1,28,1,30,1,}, {10,1,24,1,10,1,8,1,7,1,13,1,8,2,17,2,7,1,28,9,29,1,28,26,29,1,6,2,13,1,24,1,8,1,10,1,24,1,17,1,12,1,13,1,29,1,28,3,30,1,13,1,12,2,29,1,8,1,6,1,8,1,13,1,8,1,13,1,8,2,6,1,13,1,15,1,10,1,7,2,6,1,7,2,8,1,14,1,11,1,8,1,13,1,9,1,8,3,13,1,8,1,15,1,17,1,11,1,9,1,8,3,9,1,15,1,9,1,13,1,28,1,30,1,28,3,30,1,28,17,29,1,30,1,13,1,10,1,12,2,17,1,12,1,8,1,6,1,13,1,29,2,6,1,30,1,13,1,12,1,11,1,17,1,16,1,17,1,9,1,8,1,13,1,29,1,13,1,7,1,13,1,8,1,9,2,17,1,14,2,9,1,6,1,28,2,30,3,28,4,6,1,30,1,29,1,7,1,30,1,8,1,17,1,11,1,17,1,11,3,9,2,8,1,9,1,11,2,9,1,8,1,13,1,10,1,8,1,13,1,8,2,13,2,9,1,13,2,9,1,13,2,6,1,13,2,9,1,13,1,9,1,13,1,9,2,13,1,9,2,30,1,28,24,30,1,28,1,29,1,9,1,10,1,9,1,17,3,12,1,17,2,12,1,9,1,10,1,17,1,10,1,17,1,12,1,17,14,16,1,8,1,28,17,30,1,28,3,29,2,28,14,30,1,28,6,30,1,28,86,29,1,28,1,30,1,28,1,29,1,28,1,6,1,29,2,30,2,29,1,30,1,7,1,30,1,28,1,29,1,6,2,30,2,7,1,30,1,28,1,6,2,29,1,7,1,29,1,30,1,7,1,6,1,28,1,6,2,28,1,29,1,7,1,29,1,28,1,13,1,30,2,13,1,28,1,6,1,13,1,7,1,6,1,28,1,7,1,6,2,29,1,6,1,30,1,24,1,13,1,9,1,8,1,9,1,24,1,10,1,12,2,9,1,10,1,12,1,9,1,10,1,12,1,9,1,17,1,9,1,17,1,12,1,10,1,9,1,10,1,11,1,12,1,8,1,12,1,17,1,9,2,17,1,9,1,17,3,12,2,17,1,10,1,9,1,24,1,9,4,10,1,11,1,8,1,9,1,8,1,24,1,13,1,8,2,17,1,9,1,10,1,13,1,8,2,10,2,24,1,13,1,24,1,13,1,8,2,9,1,24,2,8,1,9,1,7,1,10,1,12,1,9,1,12,2,9,1,13,1,24,1,10,1,13,1,10,1,9,1,17,1,11,1,12,1,17,1,12,1,10,1,12,2,17,1,9,1,17,1,9,2,24,2,9,1,6,3,29,1,30,1,28,1,30,3,28,2,29,1,28,1,30,1,28,1,30,1,28,3,6,1,28,1,29,1,30,1,28,1,29,1,28,1,30,1,28,46,30,1,28,1,30,2,28,1,6,1,29,1,13,1,6,2,30,1,28,1,7,1,29,1,28,1,6,1,28,2,30,1,29,1,28,1,30,1,6,1,28,2,6,1,30,1,7,1,6,1,29,1,24,1,8,1,13,1,24,1,8,1,24,1,17,1,10,1,30,1,28,2,29,1,28,29,30,1,28,2,30,1,28,2,30,1,28,1,29,1,28,1,6,1,29,1,28,1,29,2,30,1,28,2,30,1,28,28,29,2,6,1,7,1,8,3,24,1,8,2,9,1,12,2,24,1,17,1,12,1,9,1,12,1,17,1,9,3,10,1,12,1,8,1,13,1,11,1,17,1,11,1,16,1,11,4,9,1,11,3,16,1,9,1,10,1,9,3,13,1,11,1,9,3,10,1,9,2,11,1,9,5,13,1,11,1,9,2,8,1,9,13,10,1,9,1,10,1,9,10,16,1,11,1,9,4,11,1,9,4,11,2,13,1,11,1,9,2,16,1,17,1,16,1,17,1,16,2,11,1,17,1,11,2,17,1,11,2,8,1,13,1,10,1,11,1,13,1,8,1,10,1,13,1,9,2,16,2,11,1,9,1,11,2,8,2,13,2,8,1,13,2,29,1,13,5,8,1,13,1,9,1,6,1,13,1,9,1,13,1,9,1,13,1,16,1,8,1,9,1,8,1,9,1,8,1,11,1,10,1,9,1,8,1,9,2,11,1,10,1,11,1,10,1,9,1,17,1,9,1,11,1,9,1,11,1,9,3,11,1,9,1,8,1,11,2,9,2,16,1,9,1,11,1,8,1,9,1,13,1,9,1,13,1,11,1,9,1,8,1,9,1,13,1,9,4,13,1,9,1,10,1,9,4,13,2,9,2,13,2,33,58,5,362,28,1,13,1,6,2,12,2,13,1,12,1,24,1,10,1,13,1,24,1,8,1,9,3,24,1,9,1,24,1,13,3,7,1,13,1,8,2,24,2,8,1,10,3,17,1,12,1,8,1,24,1,12,2,10,1,12,1,8,1,10,2,24,1,7,1,13,1,8,1,10,2,13,1,8,1,24,1,8,1,17,1,24,1,12,1,24,1,8,2,12,1,13,1,8,1,24,1,13,1,8,1,12,1,8,1,29,1,28,1,6,1,7,1,6,1,28,1,7,1,13,1,6,1,7,1,6,1,30,3,28,1,29,2,30,1,28,1,30,1,7,1,6,2,28,1,6,1,29,1,30,2,6,1,30,2,6,1,29,1,6,1,13,1,7,1,6,1,13,1,7,3,8,1,7,2,13,1,7,2,13,2,7,1,13,5,9,2,13,1,8,2,9,2,8,1,9,2,10,1,9,1,11,1,16,1,10,1,11,1,10,1,11,1,10,1,11,1,16,1,11,1,16,1,17,1,16,1,11,1,16,2,9,1,11,1,9,1,11,1,16,1,10,1,9,1,11,1,16,1,9,1,11,1,16,1,17,2,11,1,16,1,11,2,8,1,9,1,8,1,13,1,6,1,9,1,13,5,7,1,9,1,13,2,8,2,11,1,8,1,28,1,6,1,13,4,16,1,9,1,16,3,17,2,14,1,16,1,6,3,13,1,6,1,13,4,9,1,16,2,17,1,16,3,9,1,13,1,28,2,30,2,28,2,6,1,28,1,13,4,11,2,17,7,6,1,28,4,30,1,28,3,30,2,28,1,6,1,29,1,30,1,7,1,13,3,6,1,7,1,6,2,29,1,7,1,6,2,29,2,28,1,7,1,30,3,6,1,29,1,13,2,7,1,8,2,13,1,7,1,8,1,13,2,7,3,8,2,13,1,8,1,9,1,7,1,10,1,8,1,24,1,12,1,11,1,8,1,11,1,9,1,17,1,8,1,17,2,10,1,12,1,9,1,17,1,12,1,10,1,9,1,11,1,12,3,9,1,10,1,11,1,12,1,11,1,12,2,9,1,8,1,17,1,12,1,11,1,17,1,9,1,17,1,12,2,16,1,11,1,17,1,9,1,8,1,9,1,10,1,8,1,17,1,9,2,17,1,24,1,9,1,8,1,17,1,10,1,9,1,10,1,11,1,9,1,11,1,17,1,9,1,10,2,9,1,11,1,9,1,12,1,8,1,9,2,17,1,9,1,12,1,16,3,17,9,11,1,17,2,12,1,17,2,11,2,17,1,11,1,12,1,17,1,8,1,12,1,10,1,9,1,17,1,12,1,9,1,10,1,8,1,9,1,17,1,10,1,12,1,10,1,24,1,12,1,9,2,12,1,24,1,17,1,24,1,10,1,12,3,24,1,9,2,11,1,17,1,9,2,11,1,17,1,10,1,12,1,11,1,17,5,11,2,17,1,16,1,9,3,7,1,9,1,8,1,13,2,6,1,30,1,13,1,6,2,13,1,29,1,13,1,8,1,6,1,7,1,13,1,6,1,30,1,8,1,7,1,6,1,8,1,6,1,7,1,6,1,7,1,6,1,13,2,8,1,13,1,8,1,7,1,8,1,24,3,8,1,9,1,8,2,9,1,13,1,8,2,13,1,9,3,10,1,9,2,17,3,16,1,17,1,16,1,17,1,11,1,16,1,11,1,16,1,11,3,16,2,11,1,16,1,11,1,16,2,10,1,16,1,11,2,16,1,11,1,17,1,16,1,11,1,16,1,11,2,9,1,11,2,9,4,11,1,13,1,8,1,9,4,13,2,6,1,13,1,29,1,13,2,6,1,29,1,7,2,13,2,8,1,6,1,13,1,6,1,13,2,6,1,13,2,9,1,10,1,11,1,12,1,10,1,11,2,9,3,13,1,7,1,6,1,28,1,13,3,8,1,9,1,13,1,8,1,13,1,8,2,13,4,7,2,6,1,30,1,6,1,30,1,28,3,29,1,6,1,7,2,6,1,13,3,8,1,9,1,12,1,17,1,9,1,17,1,11,1,9,1,10,1,11,1,12,2,10,1,12,1,9,2,10,1,9,1,11,5,9,2,11,2,16,1,11,1,17,32,12,1,17,4,16,1,11,1,17,1,11,2,17,2,11,1,17,6,16,1,17,8,16,2,11,1,17,2,16,1,17,1,16,2,17,1,11,1,16,1,17,4,11,1,10,1,9,2,13,1,9,1,8,1,13,1,9,1,13,3,9,1,12,1,9,1,10,1,17,1,11,1,17,1,10,1,17,1,9,2,11,1,12,1,11,1,9,1,12,1,9,1,17,2,8,1,9,2,13,1,17,2,9,1,12,1,11,2,8,1,17,1,8,1,10,1,17,1,11,1,8,1,11,1,12,1,17,1,9,1,10,1,11,1,24,1,11,1,9,2,17,1,8,1,11,1,9,1,8,1,9,1,10,1,11,2,10,1,17,1,11,1,17,1,12,2,10,2,12,1,17,2,11,3,9,2,17,1,11,2,17,37,12,1,17,5,11,2,12,1,17,2,12,1,11,1,17,1,16,1,11,1,17,2,12,1,17,2,12,1,11,1,17,2,11,2,17,7,12,1,17,2,11,1,10,1,17,1,11,1,17,8,11,2,13,1,5,27,13,1,28,12,8,1,14,1,17,1,10,1,9,1,8,1,6,1,30,1,7,1,6,1,28,1,6,2,13,1,8,1,9,1,17,1,13,1,30,1,28,5,8,1,17,1,9,1,29,1,30,1,28,28,30,1,17,3,10,1,24,1,6,1,9,1,17,2,8,1,7,1,28,2,30,1,28,1,}, {13,1,12,2,13,1,6,1,7,1,13,1,6,1,14,1,15,1,6,1,30,1,28,14,30,1,28,20,29,1,28,1,6,1,24,1,8,1,24,1,9,2,17,1,14,1,9,1,13,1,6,1,13,1,30,1,7,1,24,1,17,2,8,1,6,1,13,1,6,1,30,1,6,1,13,1,8,1,13,1,7,1,6,1,12,2,13,1,30,1,6,1,30,2,9,1,15,1,17,2,7,1,9,2,8,2,9,1,24,1,10,1,11,1,8,1,12,1,10,1,9,1,8,1,9,1,12,1,15,1,6,1,28,4,30,1,28,17,30,1,28,1,30,1,8,1,10,2,9,1,12,1,17,1,8,1,6,1,13,1,30,1,6,1,29,1,30,1,13,1,9,1,16,1,17,3,16,1,9,1,13,1,7,1,13,1,8,1,13,1,8,3,11,1,16,1,14,1,24,1,7,1,28,1,6,1,29,2,28,4,30,1,28,2,6,1,30,1,13,1,6,1,17,1,11,3,10,1,9,1,11,2,9,2,8,1,9,1,13,1,8,1,9,2,13,2,6,1,13,4,6,1,13,1,9,1,13,8,9,2,11,1,16,1,13,1,6,1,28,27,30,1,6,1,13,1,8,1,12,1,9,1,17,6,12,1,17,1,12,2,10,1,12,1,17,8,12,1,17,4,12,1,24,1,29,2,28,15,30,1,6,1,28,3,30,1,28,4,30,1,28,1,6,1,28,6,30,1,28,8,29,1,28,88,30,2,28,1,6,1,30,1,6,1,29,1,6,3,28,1,6,1,29,1,30,1,6,1,30,1,29,1,28,1,6,2,7,1,30,1,29,1,30,1,6,1,30,1,29,1,28,1,29,1,28,1,6,1,30,1,28,1,30,1,29,1,7,1,29,1,30,2,28,2,29,1,28,1,6,1,30,1,6,2,7,1,29,1,6,1,13,1,7,2,24,1,7,1,24,2,9,1,8,1,9,1,10,1,24,1,9,1,12,1,17,1,12,1,17,1,11,1,12,1,24,1,11,1,12,1,9,1,11,1,8,1,17,1,9,2,12,2,9,1,8,1,12,2,17,1,12,1,17,1,10,1,9,1,10,1,11,1,10,2,9,1,24,1,10,1,9,1,12,1,24,1,10,1,9,1,17,1,8,1,9,1,8,1,12,2,8,1,24,1,8,2,9,1,24,2,8,1,13,1,7,1,24,1,8,1,7,1,8,1,13,1,8,1,24,2,17,2,10,1,9,1,24,1,12,1,8,2,9,1,10,1,12,1,9,2,24,1,9,1,12,1,8,1,10,1,17,2,11,1,10,1,9,2,10,1,9,1,10,1,9,1,24,1,10,1,30,1,6,2,29,1,30,1,7,1,29,1,7,1,6,1,7,1,6,1,28,1,6,1,30,2,28,1,29,2,28,1,30,2,8,1,7,1,28,1,30,1,28,49,30,1,28,1,29,1,30,1,29,1,6,1,13,1,29,2,6,1,29,1,6,2,30,1,6,1,29,1,28,1,6,1,28,5,30,1,29,2,6,2,7,2,8,1,24,1,10,1,12,2,17,1,13,1,28,3,30,1,28,30,30,1,28,6,30,1,28,1,30,2,6,1,29,3,28,29,30,1,28,1,30,1,29,1,6,1,29,1,6,1,24,1,8,1,9,1,12,1,24,1,10,2,11,3,12,3,9,1,8,1,9,2,11,1,13,2,9,1,16,1,9,1,11,1,16,1,11,2,9,1,11,2,16,1,11,2,8,1,11,3,13,1,10,1,9,7,13,1,9,3,8,1,13,1,8,1,13,1,9,6,11,1,9,2,11,1,8,1,11,1,9,1,13,2,9,5,11,1,9,1,13,1,9,2,11,1,9,2,16,1,9,3,11,1,10,1,11,1,9,2,8,1,9,2,11,1,9,7,16,1,11,1,16,2,17,1,16,1,11,1,17,1,11,1,16,4,11,1,8,1,16,1,11,1,10,1,9,1,11,1,16,1,11,1,9,1,10,1,9,4,8,1,9,4,13,4,9,1,7,1,13,1,8,1,9,2,10,1,8,1,9,2,13,1,8,1,9,1,11,1,8,1,9,1,8,1,9,1,11,1,9,2,8,1,9,1,11,1,9,1,12,1,13,1,11,2,9,1,11,1,9,1,13,1,10,1,9,1,11,1,9,1,11,1,9,2,8,1,11,1,13,1,8,1,13,2,9,1,13,2,8,1,13,3,8,1,9,5,8,1,9,11,8,2,9,1,13,1,9,1,33,58,5,361,28,2,6,1,30,1,7,1,9,1,10,1,8,1,13,1,10,1,24,1,13,1,7,1,8,1,9,1,13,1,8,2,9,1,13,1,7,2,13,1,6,1,8,2,13,4,8,1,24,1,9,1,12,1,10,1,17,1,12,3,9,2,10,1,12,1,24,1,9,1,24,1,17,1,9,1,12,1,10,1,7,1,10,1,9,1,17,2,13,1,24,1,12,1,10,2,29,1,17,1,9,1,7,1,13,1,12,1,6,1,30,1,28,1,6,2,30,2,6,1,7,1,6,1,7,1,6,1,30,4,29,1,30,1,28,1,29,1,30,1,6,1,28,1,7,1,29,3,30,1,6,1,29,2,7,1,6,2,29,1,7,1,30,1,6,1,8,1,13,1,6,1,7,2,13,1,6,1,13,2,7,2,13,5,8,1,13,1,8,2,13,1,9,2,10,1,9,1,10,2,9,1,11,3,10,1,9,1,11,1,9,4,11,1,9,1,11,2,17,1,16,4,10,1,11,7,16,1,11,1,16,1,11,1,16,1,11,2,17,1,9,2,13,2,8,1,13,2,7,1,9,1,8,1,13,2,9,1,13,2,8,2,13,1,10,2,13,1,30,1,13,4,9,3,16,2,17,4,16,1,13,3,6,2,13,4,11,1,9,1,17,1,16,1,17,3,16,1,9,1,13,1,28,1,13,1,28,1,30,2,28,1,30,1,6,1,13,3,9,1,16,1,17,7,28,1,6,1,29,1,28,5,30,4,29,2,6,1,7,3,13,1,6,2,8,1,13,1,7,1,28,1,6,1,30,3,29,2,30,1,29,1,6,6,13,1,7,1,8,2,30,1,7,1,24,1,13,1,6,1,13,2,24,1,13,2,24,1,13,1,9,1,12,1,13,1,9,1,8,1,17,1,8,1,9,1,8,1,11,1,17,1,11,1,12,1,17,1,9,1,10,1,12,1,11,2,12,1,9,1,12,1,17,1,9,1,17,1,12,1,10,1,12,3,11,1,10,1,12,2,17,4,10,1,17,2,9,1,12,1,17,2,12,1,17,1,9,1,17,1,8,1,12,1,24,1,17,1,9,1,12,1,9,1,8,1,9,1,10,1,9,1,10,2,9,1,11,1,8,1,11,2,9,2,17,2,12,1,9,1,17,2,16,1,11,1,17,5,16,1,17,2,12,1,17,6,16,1,17,1,11,2,12,1,17,3,9,1,11,2,9,1,12,1,13,1,12,1,11,1,9,1,24,2,11,1,12,1,9,2,10,2,12,3,17,1,9,2,24,1,8,2,10,1,8,1,11,1,9,2,12,1,11,1,12,1,10,1,11,1,17,1,11,1,17,2,16,1,9,1,16,1,9,2,16,1,11,1,9,1,11,1,9,1,8,2,6,1,13,2,6,1,7,1,29,1,7,1,24,1,29,1,6,1,7,1,13,2,6,1,7,1,6,1,7,1,13,1,7,2,13,4,7,1,8,1,7,1,13,1,8,1,13,1,24,1,13,2,8,1,13,1,8,2,9,4,8,1,9,3,13,1,10,1,13,1,16,1,17,1,16,2,17,1,16,1,17,1,16,2,11,2,16,1,11,4,16,1,11,2,16,4,9,1,16,1,11,1,9,1,16,3,11,1,17,1,11,1,16,1,10,1,16,1,11,3,9,2,11,1,9,1,13,1,8,1,9,1,13,6,7,1,13,1,6,4,30,1,6,1,8,3,13,1,6,2,7,3,13,1,6,1,13,1,8,1,9,2,10,1,11,2,10,1,9,1,8,1,13,1,6,1,13,1,6,2,9,1,13,1,8,1,13,1,9,3,8,1,13,1,8,1,13,1,8,1,13,4,30,1,6,1,30,1,6,1,30,1,28,2,30,1,6,1,13,1,6,1,13,3,8,2,10,1,9,1,17,1,11,3,10,3,11,1,9,1,11,1,9,2,11,1,9,1,10,2,9,1,10,1,9,1,11,2,9,1,10,1,11,2,17,33,12,1,11,2,16,1,11,1,17,3,10,1,17,1,11,1,16,1,11,1,17,1,11,1,17,1,16,1,17,2,16,1,17,1,16,2,17,1,11,1,17,1,16,1,17,1,11,1,17,2,16,1,17,1,11,1,17,5,11,1,17,1,11,1,17,3,12,1,11,1,9,1,8,2,9,1,8,1,13,1,9,2,13,1,10,1,11,2,8,1,9,1,11,1,12,2,10,1,17,1,12,1,17,1,11,2,12,1,9,1,17,1,10,1,11,1,17,1,11,3,12,1,9,1,12,1,17,1,12,1,9,1,12,2,9,1,11,1,10,1,8,1,12,1,9,2,10,2,8,1,10,1,12,1,10,1,11,1,24,1,11,1,9,1,13,1,12,1,8,1,10,1,9,1,12,1,17,1,9,1,12,1,17,1,9,1,16,1,9,2,12,4,9,1,11,2,9,1,24,1,10,1,17,3,12,2,17,3,16,1,17,40,11,1,17,2,11,2,12,1,17,8,12,1,17,11,12,1,17,2,11,1,17,1,12,1,17,8,16,1,13,2,33,1,5,24,13,1,28,12,9,1,14,1,16,1,12,1,8,1,13,1,7,1,30,2,29,1,6,2,13,1,6,2,15,1,12,1,8,1,28,6,9,1,17,1,8,1,30,1,28,1,7,1,28,28,17,2,9,2,8,2,10,1,15,1,24,1,8,1,7,1,6,1,28,3,}, {12,1,17,1,10,1,9,1,8,1,13,4,12,1,24,1,30,1,28,17,30,1,28,15,30,1,28,1,30,1,28,1,13,1,28,1,8,1,9,3,10,1,14,1,24,1,8,1,6,1,7,1,6,1,30,1,24,1,17,1,11,1,8,1,13,1,30,1,8,1,6,1,7,1,13,1,7,1,13,1,7,2,9,2,13,1,28,1,6,1,28,2,13,1,15,1,16,1,8,1,13,1,8,1,9,1,10,1,9,1,13,2,10,1,9,1,11,1,12,1,13,1,24,1,9,1,12,1,14,1,10,1,13,1,28,22,30,2,6,1,9,1,12,1,24,1,9,2,10,1,24,1,7,1,6,1,29,1,6,3,13,1,9,1,17,4,16,1,13,1,7,1,13,3,24,1,7,1,8,1,7,1,12,1,17,1,14,1,8,1,29,1,13,1,6,2,28,1,30,1,28,3,30,2,29,2,28,2,6,1,17,1,16,1,17,1,16,1,11,1,9,1,11,1,9,2,13,2,9,1,13,1,9,2,13,2,9,1,6,1,13,7,6,1,13,6,9,2,11,1,9,2,30,1,28,29,30,3,13,1,24,1,17,1,10,1,17,1,11,2,17,2,12,1,17,18,24,1,8,1,29,2,28,16,30,1,28,2,30,1,28,6,30,1,28,4,30,1,28,2,30,1,28,5,6,1,28,1,30,1,28,1,29,1,30,2,29,1,28,23,30,1,28,62,6,1,28,1,6,1,30,2,6,2,30,1,6,1,30,3,29,1,6,2,28,1,29,1,7,1,30,1,29,1,28,1,30,1,6,1,28,1,30,2,28,3,30,1,6,1,30,3,7,1,29,1,28,3,29,1,6,1,28,1,7,1,29,1,6,1,13,1,28,1,6,1,13,1,6,1,8,1,24,1,8,1,13,1,24,1,9,2,10,1,12,1,10,1,24,1,12,8,11,1,9,1,12,1,10,1,9,3,13,1,8,1,17,2,12,1,17,1,12,2,11,1,17,1,10,1,9,1,10,1,24,1,12,1,10,1,12,1,9,2,12,1,17,1,12,1,10,1,9,1,12,1,24,1,10,1,12,1,8,1,9,1,24,1,8,1,24,1,8,2,9,1,8,2,7,1,8,1,10,1,8,3,24,4,10,1,9,1,8,1,9,1,10,2,9,1,24,1,17,1,9,2,12,1,17,1,9,1,10,1,17,1,12,3,17,4,11,1,9,2,8,1,13,1,7,1,6,1,30,1,28,1,7,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,29,1,30,1,28,1,6,1,28,2,29,1,6,1,28,54,30,2,29,2,7,1,30,1,6,1,8,1,7,2,6,1,13,1,29,2,30,1,28,3,29,1,28,1,30,1,28,1,29,2,6,1,13,1,8,1,6,1,7,1,8,2,9,1,24,2,17,1,8,1,28,32,29,1,28,2,30,1,28,3,30,1,28,1,30,1,29,2,30,1,28,1,30,1,29,1,28,30,30,3,7,1,6,1,8,1,24,1,7,1,10,1,24,2,9,2,11,1,12,1,9,1,11,1,9,1,8,1,24,1,12,1,8,1,10,1,9,2,13,2,9,1,11,1,17,1,11,7,16,1,9,1,16,1,9,2,10,1,16,1,9,5,8,1,9,1,11,1,9,1,11,2,9,2,11,1,9,2,8,1,13,1,9,2,8,1,9,1,10,1,9,1,8,1,9,1,13,1,9,3,11,3,13,1,16,1,10,1,11,2,9,1,11,2,9,1,11,2,9,2,11,2,9,5,8,1,11,2,9,5,13,1,10,1,9,1,13,1,9,3,13,1,9,1,17,1,11,1,16,1,17,1,11,2,9,2,11,1,10,1,16,1,10,2,9,1,11,1,17,2,13,1,16,1,8,1,9,1,11,5,9,2,13,1,10,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,8,2,6,1,9,1,13,2,9,1,8,1,13,1,8,2,9,1,13,1,9,3,16,1,12,1,16,1,9,2,16,1,13,1,11,1,9,2,16,2,9,1,16,1,9,1,11,1,16,2,12,1,13,5,8,1,9,1,13,1,8,1,13,2,9,1,8,2,10,1,9,4,8,1,9,2,13,1,9,2,13,1,9,1,8,1,13,1,8,1,9,3,11,1,9,1,13,1,9,2,33,57,5,361,28,4,7,1,8,1,9,1,8,1,24,1,8,1,13,1,8,1,7,1,13,1,24,2,11,1,9,1,24,1,29,1,7,2,13,1,7,1,13,1,7,1,8,1,7,1,13,1,7,1,13,1,8,1,9,1,8,1,12,2,17,1,12,2,8,1,12,1,24,1,12,1,9,1,17,1,8,2,12,1,13,1,8,2,24,1,12,2,13,1,10,1,8,1,24,2,9,2,7,1,8,1,12,1,13,1,30,1,28,2,13,1,28,1,30,1,28,1,7,1,13,1,6,1,30,1,28,1,30,2,28,1,30,2,29,3,28,1,7,1,28,1,30,1,6,1,28,1,29,1,6,1,28,1,29,2,30,1,6,1,29,1,6,2,7,1,13,1,6,1,13,1,7,1,6,1,7,1,13,1,30,1,7,1,8,1,13,4,7,1,13,1,9,1,8,2,13,1,8,1,9,1,8,1,9,1,8,2,10,2,11,1,9,1,11,2,9,2,11,1,9,1,16,1,11,5,16,1,11,1,17,1,16,3,11,4,9,1,11,1,10,1,9,1,11,2,10,1,16,2,11,1,16,1,10,1,13,1,8,1,9,1,13,1,6,1,13,1,7,1,13,1,7,2,8,1,13,4,8,1,9,1,6,1,9,2,13,1,6,1,13,4,9,3,16,3,17,2,16,1,17,1,16,1,13,3,30,1,6,1,13,5,16,2,17,3,16,3,13,1,30,1,28,2,13,1,6,1,13,1,28,1,30,1,13,2,9,1,13,2,16,1,17,6,13,1,28,9,30,1,6,3,29,1,7,2,13,2,6,1,7,1,29,1,13,1,6,1,13,1,28,1,29,1,30,2,29,1,30,1,6,1,29,1,6,2,7,1,13,1,7,1,13,1,6,1,8,1,7,2,24,1,12,1,13,2,8,1,13,1,9,1,8,2,24,1,13,1,24,2,8,1,9,1,10,1,9,2,13,1,12,1,9,1,12,1,8,2,10,2,9,1,10,1,12,1,9,1,11,1,9,1,10,1,17,3,10,1,17,5,11,1,10,1,12,3,17,1,12,1,11,1,17,4,12,1,16,1,12,1,11,2,17,1,11,1,12,3,10,1,11,2,17,3,16,1,17,1,11,1,16,1,9,1,8,1,17,1,8,1,12,1,11,2,16,1,17,1,11,1,17,1,12,1,16,1,17,2,12,1,17,8,12,2,17,1,11,1,16,1,8,1,17,1,9,1,11,1,9,1,11,1,10,2,16,1,9,1,10,1,8,1,12,2,9,1,10,1,9,1,17,1,10,1,8,1,12,1,8,1,10,2,11,1,9,3,17,1,10,1,9,1,24,1,17,1,10,1,17,1,12,1,17,1,11,1,10,1,11,1,12,2,9,1,17,1,11,1,17,4,9,1,11,2,17,1,16,1,11,2,12,1,9,2,8,2,6,1,8,1,29,1,8,1,7,1,8,1,13,1,8,1,6,1,7,1,13,1,6,1,7,1,6,1,13,2,28,1,7,2,13,1,6,1,30,1,13,3,8,1,7,1,8,7,9,1,8,1,9,1,8,1,9,4,13,1,11,3,16,1,17,1,16,1,17,1,16,8,11,3,16,2,11,1,16,3,11,2,17,1,9,1,16,1,9,1,17,1,11,1,16,4,11,1,16,1,17,2,11,1,17,1,11,2,9,3,13,1,9,2,7,1,8,1,7,1,13,2,7,1,13,1,6,3,30,1,6,1,28,1,6,2,8,2,9,1,7,1,13,1,30,1,6,2,7,1,13,5,9,1,10,1,9,1,10,1,9,1,13,4,6,2,13,3,9,1,8,1,9,1,8,2,13,4,8,1,13,2,6,1,29,2,30,1,29,1,30,2,28,1,30,1,13,5,8,1,13,3,9,1,10,1,12,1,11,1,17,1,12,1,10,1,12,1,10,1,9,1,11,5,9,1,11,1,10,1,11,1,9,4,11,1,9,2,11,1,17,33,11,1,17,2,11,1,16,1,11,1,17,1,11,1,16,2,11,1,17,1,11,1,17,1,16,1,11,2,17,1,11,1,17,2,16,3,17,3,16,1,11,2,17,6,16,1,17,4,11,1,9,1,12,1,17,1,12,2,9,1,11,1,9,1,10,1,8,1,9,2,8,1,13,1,8,2,13,1,12,1,10,1,17,1,11,1,12,2,9,1,17,1,9,1,11,1,12,1,10,2,12,2,11,1,9,1,17,1,12,1,10,1,11,1,12,1,10,1,9,1,17,1,12,1,8,1,17,1,9,1,17,1,9,1,12,1,11,1,9,1,17,1,11,1,12,1,11,1,10,1,9,3,11,1,9,2,11,1,13,1,12,1,24,1,13,1,12,1,9,1,17,1,11,1,9,1,17,1,9,1,12,1,10,1,17,1,11,3,10,2,12,1,17,1,9,1,10,1,17,1,11,1,17,1,10,1,17,10,16,1,17,29,16,1,17,7,11,1,17,1,11,1,17,3,11,1,12,2,11,1,12,1,17,2,12,4,17,3,12,1,17,9,11,1,17,6,16,1,17,1,9,1,13,2,5,22,6,1,28,12,14,1,17,2,16,1,8,1,24,1,8,1,13,1,6,1,29,1,30,1,6,1,13,2,9,1,17,1,12,1,9,1,28,6,9,1,17,1,24,1,29,1,28,30,17,2,11,1,13,3,8,1,14,1,8,1,9,1,8,1,29,1,28,1,30,1,28,1,}, {10,1,8,1,10,1,9,1,6,2,13,1,6,1,8,1,14,1,6,1,30,1,28,16,30,2,28,2,30,1,28,13,29,1,28,3,7,2,9,1,8,1,12,1,9,1,14,1,24,1,9,1,6,1,29,1,6,1,30,1,13,1,17,1,9,1,24,1,8,1,13,2,29,1,13,1,8,1,7,1,8,1,13,1,6,1,9,1,15,1,13,1,30,1,28,1,7,1,6,1,13,1,9,1,17,1,9,1,8,1,9,1,8,1,13,1,6,3,9,1,17,1,11,1,12,1,8,1,10,2,9,1,14,1,11,1,8,1,28,21,30,1,28,1,6,2,8,1,24,1,12,1,9,1,10,1,17,1,24,1,13,1,29,1,6,1,13,1,29,1,30,1,6,1,12,1,17,1,16,1,17,2,8,1,9,1,13,1,29,1,7,1,24,1,13,1,7,1,8,2,6,1,9,2,11,1,6,1,7,2,6,1,29,1,28,6,30,1,6,1,28,2,6,1,11,1,17,1,11,2,17,1,9,3,13,2,9,2,8,1,9,1,13,6,9,2,13,1,6,1,13,1,9,1,6,1,13,1,6,1,13,1,6,1,9,1,13,1,9,4,6,1,28,31,30,1,6,1,29,1,6,1,8,1,24,2,11,1,12,1,17,21,12,1,13,1,29,1,30,1,28,13,30,1,28,1,29,1,28,4,30,1,28,2,30,2,28,3,6,1,28,11,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,81,30,1,28,1,6,1,30,1,7,1,6,1,29,1,6,2,7,1,29,1,30,1,6,2,7,1,28,1,7,1,30,1,28,1,6,4,29,1,28,1,6,1,28,1,29,1,28,3,30,2,6,1,28,2,29,1,28,4,6,1,28,1,30,2,28,1,29,1,6,2,29,1,6,2,13,1,6,1,13,1,7,1,24,4,12,1,10,1,9,1,12,2,17,1,12,1,10,1,17,1,10,1,17,1,9,1,17,4,9,1,10,1,12,1,24,1,17,1,12,1,10,1,12,1,17,1,9,1,12,1,9,1,12,1,9,1,24,1,10,1,12,1,8,2,24,2,12,1,8,1,24,1,9,2,24,1,8,1,12,1,24,1,8,1,10,1,13,1,24,1,13,1,24,1,7,1,24,1,8,1,7,1,24,1,7,1,24,1,13,1,7,1,8,1,24,1,8,1,24,1,8,2,9,2,17,1,10,1,12,1,9,1,11,1,24,1,13,1,12,1,10,1,9,1,17,1,9,1,11,1,9,1,12,2,9,1,17,1,12,3,9,1,17,1,12,1,10,1,12,2,8,1,6,1,29,2,6,2,30,1,29,1,6,1,29,3,6,3,28,1,29,1,13,1,29,1,30,2,6,1,28,52,7,1,29,1,7,2,29,1,7,2,6,1,13,1,7,2,29,1,13,1,29,1,6,2,28,1,30,1,29,1,28,3,6,1,30,1,29,1,7,1,6,1,7,2,8,4,9,2,17,1,30,1,28,1,30,1,28,31,29,1,28,2,30,1,28,1,30,1,28,3,30,1,29,1,28,1,29,1,28,33,29,1,30,1,13,1,29,1,13,1,8,2,24,1,8,1,11,1,24,1,17,1,9,2,10,1,12,1,10,1,12,1,10,1,9,1,8,1,12,1,9,1,13,1,6,1,13,1,9,1,11,2,9,1,11,4,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,9,2,11,1,13,1,9,1,16,1,13,1,11,1,9,2,16,1,9,1,8,1,9,2,13,1,9,2,13,1,9,3,13,1,9,1,13,1,10,1,9,5,11,2,9,1,11,3,10,1,11,1,13,1,11,1,9,1,11,1,9,8,13,1,9,1,13,3,9,1,8,1,9,3,13,2,9,2,11,1,9,1,11,2,16,2,11,1,16,1,9,1,11,1,16,1,9,1,13,1,9,2,11,4,9,1,11,1,16,1,9,1,8,1,11,1,9,1,17,1,9,1,13,1,9,1,11,1,13,2,9,1,13,1,9,4,13,1,9,1,13,2,6,1,13,1,6,4,13,1,30,1,6,1,13,1,6,1,8,1,13,1,6,2,13,1,9,1,13,2,8,2,13,3,8,1,9,1,13,1,9,3,8,1,9,2,13,2,9,1,8,1,13,3,8,1,13,1,9,5,8,2,10,1,9,6,11,1,9,4,8,1,9,5,8,1,9,1,13,3,33,56,5,362,30,1,28,1,6,2,7,1,13,1,8,2,13,1,7,1,8,3,9,1,8,1,24,1,12,1,10,1,13,2,8,1,6,1,13,2,7,1,6,1,13,1,6,1,24,1,6,1,8,2,10,2,12,7,13,1,17,1,8,1,13,1,10,1,13,1,8,1,7,1,10,1,12,1,10,3,13,1,8,1,12,1,24,1,8,2,17,1,13,1,28,3,30,1,13,1,29,1,30,2,29,1,6,1,29,1,6,1,30,1,28,2,30,1,28,2,6,1,30,3,6,1,28,1,6,1,29,1,7,1,30,1,6,3,7,1,29,1,6,1,7,1,6,1,7,2,6,2,13,1,7,1,13,1,6,1,13,2,7,1,6,2,7,1,6,1,8,1,13,4,7,1,8,4,9,1,8,1,9,1,13,1,9,3,11,1,9,1,11,1,9,1,10,1,11,1,9,2,11,5,17,1,16,3,9,1,11,6,9,1,16,1,11,3,16,3,11,1,9,3,13,1,9,1,13,4,7,2,6,2,13,4,6,1,29,1,9,1,11,1,13,7,9,1,11,2,16,3,17,5,9,1,13,3,30,1,13,4,9,2,16,3,17,4,16,1,9,1,30,2,28,1,13,1,28,2,30,1,13,1,9,1,13,1,9,2,16,2,17,5,6,1,28,7,30,3,6,2,29,2,7,1,6,2,13,1,8,2,6,1,13,1,29,1,6,1,29,1,30,1,6,1,29,1,30,1,29,1,7,2,28,1,6,4,8,1,6,1,13,1,8,1,6,1,24,2,8,2,13,1,8,1,13,1,6,1,8,4,13,1,24,1,13,1,24,1,13,1,8,1,10,1,9,1,11,1,10,4,12,1,9,1,8,1,9,2,10,1,11,1,9,2,10,1,13,1,10,1,12,1,8,1,17,1,9,1,17,2,12,1,11,1,17,2,11,1,17,3,12,1,16,1,12,1,17,1,12,1,11,1,17,3,10,1,12,2,17,1,10,1,17,3,12,1,17,1,9,1,10,1,17,1,11,1,17,6,10,1,17,2,12,1,17,1,11,1,17,1,16,1,17,2,9,1,17,4,12,1,17,1,11,1,12,1,17,1,11,1,10,2,8,2,9,1,17,1,11,1,9,1,11,2,9,1,10,1,9,1,10,2,9,1,8,3,9,1,13,1,17,1,13,1,17,1,11,1,24,1,17,1,12,1,24,2,13,1,9,1,24,1,12,1,17,2,9,1,17,1,9,2,12,2,17,2,12,1,17,1,11,1,17,1,10,1,16,1,11,2,9,1,11,1,9,3,11,1,8,1,11,1,9,2,8,4,24,1,7,2,13,2,6,1,13,2,7,2,8,1,13,4,29,1,7,1,13,2,7,1,13,3,7,1,9,4,13,1,10,1,8,2,10,1,9,3,10,1,11,2,17,1,16,15,11,1,17,1,16,1,11,1,16,1,11,1,9,1,11,1,16,2,11,1,16,2,11,1,16,1,11,1,16,3,11,2,16,1,11,3,17,1,10,1,11,1,9,1,17,1,13,1,8,1,9,1,13,1,7,1,13,3,8,1,13,1,7,1,8,1,7,1,29,1,6,3,30,1,6,1,29,1,13,4,6,1,30,1,6,1,28,1,6,3,13,2,9,3,11,1,9,2,13,3,8,1,7,1,6,2,13,2,9,1,8,1,13,8,6,1,13,1,30,1,29,1,6,2,28,1,6,1,28,1,30,1,13,1,6,2,13,1,8,1,13,2,9,1,10,2,9,1,11,2,12,1,17,2,10,1,11,2,10,1,11,2,17,1,11,1,10,2,11,1,9,2,11,1,8,1,10,1,8,1,11,2,16,1,10,1,17,28,16,1,17,1,11,1,17,1,10,1,17,1,11,2,17,2,16,1,17,1,11,1,17,1,11,2,10,1,17,1,11,1,17,4,11,2,17,1,11,2,16,1,17,2,16,1,17,2,16,3,17,1,16,1,17,4,11,1,17,3,11,3,17,3,10,1,11,1,9,2,10,1,11,1,9,3,13,1,8,2,13,1,9,2,12,1,17,1,10,1,9,1,11,1,12,1,17,1,11,1,10,2,11,1,10,1,11,1,9,1,17,1,11,1,12,1,11,1,17,1,9,1,10,1,9,1,10,1,9,1,11,1,8,1,11,1,9,1,10,1,9,2,24,1,9,2,12,1,10,2,9,2,11,1,9,1,10,2,11,1,9,2,13,1,10,1,11,1,10,1,12,3,9,1,12,2,9,1,17,1,11,3,9,1,12,1,10,1,12,1,17,3,12,1,17,1,8,1,10,1,11,1,10,1,17,34,16,1,17,6,16,1,11,1,17,5,11,1,17,2,12,2,17,1,12,1,17,4,11,2,17,3,12,1,11,1,17,3,16,1,17,1,16,1,11,2,17,8,9,2,13,1,5,21,28,13,12,1,17,2,16,1,10,1,24,1,13,1,8,1,6,1,29,1,30,1,6,2,13,1,9,1,17,2,9,1,28,6,9,1,17,1,13,1,28,30,29,1,17,2,11,1,24,1,8,1,13,1,10,1,15,1,24,1,8,1,6,1,28,1,29,1,28,2,}, {24,1,17,1,9,1,8,2,13,3,24,1,14,1,13,1,30,1,28,16,30,2,28,15,30,1,28,2,30,1,28,1,30,1,13,1,8,2,16,1,15,1,14,1,11,1,8,1,13,1,30,1,29,1,6,1,13,1,17,1,10,1,8,1,9,1,8,1,13,1,7,1,6,1,13,3,6,1,13,1,24,1,14,1,6,3,29,1,28,1,13,1,24,1,17,1,9,2,8,1,24,1,13,2,8,1,13,1,8,1,17,1,9,1,17,1,13,1,8,2,9,1,15,1,17,1,13,1,28,23,6,2,7,1,12,1,10,1,24,2,11,1,15,1,7,1,6,2,29,1,13,1,29,1,30,1,17,1,11,1,17,2,11,1,13,1,8,1,13,2,8,2,13,2,6,1,8,1,13,1,9,1,13,1,9,1,7,1,28,3,29,1,28,5,30,1,29,2,28,2,29,1,9,1,17,1,12,1,11,1,8,1,10,1,9,4,13,1,8,1,9,1,13,1,9,2,13,2,9,1,13,1,9,1,8,2,13,1,9,1,13,4,9,1,6,1,9,4,17,1,9,1,28,35,30,1,29,2,9,1,8,1,9,1,24,1,17,6,12,1,17,1,12,1,17,10,12,2,8,1,29,1,7,1,28,4,30,1,28,7,29,1,28,2,29,1,28,1,13,1,6,1,29,1,28,3,30,1,28,1,29,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,1,29,1,28,83,30,1,29,1,28,1,6,1,8,1,29,1,6,1,29,1,6,1,30,1,6,3,29,1,30,1,29,1,6,1,30,1,6,2,13,1,30,1,7,1,30,2,6,1,30,3,28,7,29,1,28,3,29,1,30,2,28,3,30,1,29,1,30,2,13,1,7,2,13,2,7,1,8,3,10,1,9,2,10,3,12,1,10,1,17,1,24,1,12,1,11,1,12,1,17,1,24,1,11,1,9,1,12,2,17,1,12,1,9,1,11,1,12,1,11,2,10,1,12,1,9,1,10,1,17,3,12,1,13,1,9,2,24,2,13,1,12,1,24,2,9,2,24,1,9,1,24,1,13,1,8,1,7,1,24,1,7,1,13,2,7,2,8,1,24,1,6,1,13,1,8,1,7,2,6,1,13,1,24,1,8,1,9,1,10,1,8,2,10,1,12,1,7,1,8,1,12,1,17,1,9,1,24,1,9,1,11,1,24,1,11,1,8,1,17,3,12,1,17,1,9,1,17,1,10,1,12,1,24,1,8,1,12,1,24,1,8,1,30,1,6,1,30,1,29,1,30,1,6,2,29,1,13,1,28,1,30,2,7,1,30,2,6,2,28,1,29,1,28,1,30,1,28,1,6,1,28,43,30,1,28,5,30,1,28,2,30,1,6,2,7,1,6,1,30,1,13,1,8,1,6,1,7,2,28,1,6,1,28,1,30,1,28,1,30,1,28,1,6,2,29,2,13,1,29,1,8,1,13,1,8,2,24,1,8,1,9,1,10,1,8,1,17,1,28,2,30,1,28,24,30,1,28,1,30,1,28,2,30,2,28,3,29,1,28,1,30,1,29,1,30,1,28,1,29,1,30,1,28,1,29,1,28,32,30,2,6,1,13,1,8,2,24,2,12,1,24,1,12,1,9,1,12,1,9,2,12,2,9,1,24,1,9,2,8,2,13,2,7,1,9,1,16,1,9,1,16,2,9,1,11,4,10,1,11,2,16,1,11,2,9,1,11,5,9,1,11,1,9,1,13,1,10,1,9,1,11,1,9,1,11,1,9,5,11,1,8,1,13,1,9,2,10,1,9,3,13,1,9,2,8,1,9,7,13,1,11,1,9,4,11,2,9,3,11,1,9,4,16,1,13,1,9,1,11,1,13,1,11,1,16,1,9,2,8,1,9,1,13,1,9,6,10,1,16,1,11,1,9,2,16,1,9,1,11,1,13,1,10,1,11,2,16,1,11,2,16,1,9,1,13,1,11,1,9,3,11,2,9,3,11,1,9,1,10,1,17,1,9,2,13,1,9,1,13,1,8,1,13,1,29,1,13,1,30,1,13,1,6,1,7,2,6,2,7,1,13,3,6,1,7,1,13,1,30,1,13,1,8,1,9,1,13,1,9,1,13,2,9,1,8,3,10,1,9,2,13,2,9,2,8,1,13,2,9,1,8,1,9,1,13,2,9,1,8,1,9,2,13,1,10,1,8,2,9,1,8,1,9,1,8,1,9,4,8,1,9,8,8,1,13,4,33,56,5,362,13,1,6,1,7,1,13,2,10,1,8,1,24,1,13,4,8,2,10,1,11,1,6,1,8,1,7,1,8,2,7,1,13,1,6,1,7,1,8,1,13,2,7,2,13,1,8,1,13,1,9,1,8,1,12,1,8,1,12,1,10,2,12,2,10,1,17,1,10,1,24,1,8,1,13,1,12,1,24,1,12,1,13,1,8,1,10,1,24,1,9,2,24,1,10,1,9,1,6,1,30,1,28,1,29,1,30,1,6,2,28,1,29,1,6,1,28,1,6,2,29,1,28,1,29,1,28,2,30,5,6,1,30,1,29,3,30,1,6,7,7,3,13,1,7,1,13,1,6,2,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,9,1,13,1,8,1,13,2,8,2,9,2,11,1,8,1,10,1,9,1,11,2,9,1,11,1,9,1,11,2,9,2,11,1,10,1,11,1,17,2,16,4,10,2,11,5,9,1,16,1,11,1,17,1,11,2,16,2,11,2,13,1,8,1,7,1,13,2,6,2,13,2,6,1,13,3,7,1,13,1,7,1,13,2,11,1,13,1,6,3,13,2,6,1,9,1,13,1,9,1,11,1,16,2,17,6,16,1,6,2,30,1,6,2,30,1,9,1,13,1,9,1,13,1,11,1,16,1,17,5,16,1,13,2,6,1,30,1,28,1,6,2,28,1,30,1,13,2,9,3,11,1,17,5,13,1,28,2,30,1,6,1,28,5,29,1,30,1,7,1,30,1,6,1,7,1,6,2,8,1,7,1,6,3,29,1,7,1,29,1,13,1,29,1,6,1,30,1,29,1,30,1,29,1,7,2,13,1,6,1,8,1,7,1,8,1,13,1,8,2,13,1,8,1,13,1,7,1,10,1,24,1,13,2,24,1,9,1,8,1,13,1,9,2,13,1,10,1,8,1,13,1,17,1,11,1,12,1,9,1,8,1,9,1,13,1,24,1,9,1,10,1,12,2,10,1,9,1,11,1,9,1,11,1,10,1,17,1,9,1,17,1,10,1,11,1,12,1,17,3,9,1,12,2,11,1,17,2,16,1,9,1,12,2,11,1,12,3,11,1,17,2,11,1,10,1,17,7,16,1,17,1,16,1,12,1,17,1,16,1,17,1,16,2,17,2,11,1,16,1,9,1,16,1,11,1,9,1,12,1,11,2,8,1,11,1,9,1,12,1,17,1,9,1,17,1,12,1,9,1,17,1,8,1,10,1,13,1,17,1,16,1,12,1,11,2,9,2,10,1,8,1,12,2,9,1,10,1,17,1,9,1,8,1,10,1,11,1,12,1,9,1,17,1,10,1,24,1,8,1,24,1,10,1,12,1,17,1,9,1,12,2,17,1,10,1,12,1,17,3,11,1,12,1,17,1,9,1,8,1,9,3,17,1,9,2,10,1,9,1,8,2,9,3,8,2,13,1,9,1,8,2,24,1,13,2,9,1,13,2,9,1,8,1,13,1,24,1,13,1,8,1,13,2,7,1,8,1,13,1,8,1,13,4,8,1,13,4,8,1,11,1,9,2,11,1,9,1,11,1,9,2,11,1,16,1,11,1,16,3,17,1,16,13,11,1,16,3,11,1,17,1,11,2,9,1,11,1,16,1,11,2,16,1,11,1,16,1,17,1,16,1,11,1,17,1,16,1,9,1,16,1,11,3,16,1,11,1,16,1,11,2,9,1,13,2,8,1,7,1,9,1,13,1,7,1,8,1,13,2,9,1,29,1,30,2,28,1,13,1,30,1,28,1,6,1,13,1,7,1,13,3,28,2,30,2,6,1,7,1,6,1,9,1,13,1,9,2,8,1,13,1,8,1,13,4,6,1,13,4,9,1,8,1,13,1,8,1,13,2,7,1,13,2,6,1,13,3,6,1,30,1,6,1,29,1,30,2,6,1,30,2,13,2,9,2,13,1,9,1,10,1,9,1,11,1,10,1,9,1,11,2,17,1,10,1,11,1,9,1,11,1,9,1,11,1,17,1,12,1,17,1,12,1,10,1,11,1,9,4,11,1,9,1,17,3,11,1,17,27,11,1,17,1,11,2,10,1,16,1,11,3,17,1,16,1,17,1,16,1,11,1,17,4,16,1,17,1,11,1,17,2,11,1,17,8,11,1,17,1,11,1,10,1,17,2,11,1,17,1,12,2,17,4,10,1,17,1,11,2,12,1,11,1,17,2,11,2,17,1,10,1,8,1,9,1,13,2,9,1,13,1,8,2,17,1,12,1,17,2,11,1,12,1,17,1,10,1,12,1,17,1,9,1,10,1,11,1,12,2,17,1,10,1,17,3,8,1,12,1,11,1,10,1,8,1,10,1,9,1,12,1,9,2,11,1,9,1,12,2,17,2,12,1,11,2,9,2,12,1,11,1,13,1,10,1,11,2,17,1,11,1,13,1,12,1,9,1,10,1,9,1,11,3,9,1,10,1,17,1,11,2,10,1,11,2,9,3,12,1,10,1,17,1,9,1,16,1,9,1,12,1,9,2,17,32,16,1,17,8,16,1,17,3,12,1,17,16,16,3,17,1,16,2,17,1,16,5,11,1,17,7,9,1,13,1,9,1,5,19,28,13,12,1,14,1,17,1,12,1,9,1,8,3,7,1,30,1,6,1,30,1,6,1,9,1,12,1,17,2,8,1,28,5,30,1,9,1,17,1,13,1,30,1,6,1,28,28,7,1,17,2,10,1,13,3,10,1,9,1,24,1,8,1,7,1,6,1,30,1,28,1,30,1,}, {10,3,24,1,6,1,13,2,8,1,9,1,14,1,9,1,28,17,30,1,28,4,30,1,28,14,30,3,8,3,9,1,11,1,14,1,15,1,13,1,7,1,6,1,29,1,13,1,6,1,10,1,17,1,12,1,10,1,24,1,13,1,7,1,6,1,13,2,7,1,13,1,6,1,8,1,14,1,8,1,6,1,28,1,29,1,30,1,6,1,9,1,16,1,9,2,13,1,8,1,9,1,13,1,7,1,6,1,13,1,11,1,10,1,15,1,12,1,8,1,24,1,9,1,16,2,8,1,28,23,30,2,7,1,12,1,9,1,24,1,12,1,15,1,9,1,6,4,29,1,6,1,13,1,24,1,17,2,11,1,10,1,13,1,8,1,13,1,8,1,7,1,8,1,13,4,24,1,13,1,14,1,10,1,6,1,30,1,29,1,30,4,28,5,13,1,29,1,28,1,6,1,11,1,17,1,12,1,11,1,10,1,11,2,16,1,9,1,8,1,9,1,13,2,9,2,13,5,9,1,6,1,8,1,13,1,9,2,13,5,9,1,16,2,17,1,6,1,28,37,30,1,6,1,13,1,8,1,13,1,24,1,9,1,24,1,17,1,10,1,17,2,12,1,17,13,10,1,9,1,28,1,29,1,28,3,30,1,28,10,29,1,30,1,28,2,29,1,28,1,30,1,28,3,30,1,28,1,30,2,28,2,29,1,28,1,29,1,30,2,6,1,28,2,30,1,28,1,29,1,6,1,30,1,29,1,6,2,30,1,28,73,30,2,28,8,30,1,28,1,30,1,28,1,7,1,29,1,6,1,30,1,6,1,29,2,6,2,29,1,30,1,6,1,28,1,29,1,28,1,29,1,6,2,30,1,28,1,29,1,28,1,30,1,28,1,29,1,28,2,30,1,28,7,29,1,28,3,6,1,30,1,29,1,30,1,7,1,30,1,13,1,7,1,6,1,13,2,7,1,8,2,24,1,8,1,24,1,9,2,8,1,24,1,12,1,8,1,9,1,10,1,24,2,12,2,11,1,24,1,17,1,10,1,24,1,12,2,24,1,12,1,9,1,12,1,9,1,24,1,10,2,24,1,17,1,24,1,9,2,10,1,24,1,9,1,24,1,10,1,7,1,24,1,9,1,24,1,9,1,8,1,6,1,24,1,8,2,13,1,8,1,6,1,24,2,13,1,6,1,24,1,7,1,24,1,13,1,8,1,24,1,8,3,24,1,8,1,24,1,13,1,9,2,10,1,8,1,10,1,12,1,9,1,13,1,10,1,17,1,8,1,11,1,24,1,17,1,12,2,9,1,11,1,17,2,9,1,12,1,17,1,11,1,10,1,24,1,9,2,24,1,8,1,13,1,6,1,29,1,6,1,29,1,30,1,6,1,29,2,8,1,6,1,28,1,13,1,30,2,28,1,30,1,28,39,30,1,28,9,29,1,28,4,30,1,28,1,7,1,29,1,6,1,7,1,24,2,29,1,6,1,8,1,7,1,13,1,29,2,30,1,7,1,28,1,6,1,30,1,6,1,28,1,30,1,29,1,30,1,13,1,29,1,6,1,13,1,6,1,8,4,13,1,9,1,17,2,29,1,28,34,30,1,28,1,6,1,28,1,30,2,28,1,6,1,29,1,30,3,28,32,29,1,30,1,29,1,8,2,13,1,24,2,9,1,24,2,17,1,9,1,12,1,17,1,9,2,24,1,12,1,8,1,11,1,12,1,10,1,9,1,13,1,6,1,11,4,9,1,11,5,16,2,11,3,16,2,11,1,9,3,11,1,9,1,11,1,9,1,11,3,9,3,11,1,9,1,13,1,16,1,11,1,9,9,8,1,9,3,11,1,9,3,11,1,9,1,10,1,9,1,11,1,9,3,11,1,9,1,16,1,11,1,9,2,11,1,9,1,11,1,9,3,11,1,9,1,13,1,9,1,11,1,9,2,13,1,9,5,11,1,9,5,13,1,11,1,8,1,13,2,6,1,8,1,9,1,8,1,9,1,13,2,9,1,13,1,8,1,9,1,13,4,6,2,13,5,9,3,6,1,13,5,6,1,13,3,7,1,13,4,8,1,13,2,9,1,6,1,13,3,8,1,13,4,9,1,8,1,13,2,9,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,13,1,8,1,9,2,8,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,3,11,1,9,1,10,1,9,4,13,1,8,1,13,1,9,5,13,2,9,1,13,1,33,56,5,362,30,1,6,1,7,1,13,2,10,2,24,1,13,1,8,3,24,1,8,1,13,3,8,1,7,1,13,1,6,1,8,3,7,1,6,2,7,1,13,1,8,2,6,1,8,1,9,2,12,1,17,2,24,1,17,1,12,1,11,1,8,1,10,1,13,1,12,2,10,4,17,1,10,1,6,1,13,1,24,1,12,1,13,1,29,1,28,2,29,1,7,1,29,1,28,2,6,1,29,1,28,1,7,1,28,5,30,1,28,3,30,1,28,1,29,1,30,1,29,2,13,1,29,2,6,2,29,1,30,1,7,1,6,1,29,2,6,2,8,1,13,1,6,1,7,1,13,1,7,1,30,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,8,1,13,1,8,1,7,1,13,2,9,1,11,1,9,1,8,2,10,1,9,9,10,1,11,8,17,1,11,1,17,1,11,2,16,1,9,1,11,3,10,1,16,6,11,1,9,2,8,1,7,1,13,2,7,1,13,1,30,1,13,4,29,1,13,1,7,1,13,2,6,1,9,2,28,1,6,1,13,3,6,1,9,2,13,1,9,1,16,2,17,7,16,1,13,5,6,3,9,1,13,1,9,1,16,3,17,4,16,1,9,1,13,2,28,1,6,1,28,3,13,4,9,1,16,1,17,4,9,1,7,1,6,1,28,4,29,1,30,2,29,1,6,1,29,2,28,1,6,1,8,1,13,1,8,1,6,1,13,2,6,1,13,1,7,2,6,1,7,1,29,1,30,1,7,1,29,1,7,1,29,3,6,2,30,1,6,2,24,1,8,1,13,1,7,2,13,2,8,1,10,1,13,1,8,1,9,2,12,1,10,1,9,1,13,2,8,1,9,1,8,1,9,1,17,1,13,1,11,1,8,1,9,2,8,1,10,1,11,1,8,1,9,1,8,1,12,1,8,1,9,1,17,1,9,1,10,1,11,1,12,1,9,1,17,1,10,1,12,2,9,1,12,1,9,1,11,1,17,1,16,1,8,1,17,1,11,2,17,1,11,1,16,2,17,4,9,1,16,1,11,1,17,3,9,1,11,1,17,1,11,1,16,3,17,3,16,1,17,2,9,1,17,2,10,1,9,1,12,1,17,1,10,1,17,1,12,1,17,1,11,2,17,1,16,1,12,2,10,1,12,1,11,1,17,1,12,2,24,1,17,3,9,1,17,1,10,1,9,1,8,1,9,1,10,2,17,1,9,2,10,1,9,2,10,2,9,1,24,1,10,1,17,1,9,1,13,1,9,1,17,1,12,2,24,1,10,1,12,1,10,1,12,1,10,1,12,1,11,1,8,1,13,1,10,1,11,1,8,1,9,2,8,1,9,2,8,1,9,2,8,1,9,2,8,1,10,1,8,4,11,1,9,2,13,1,10,1,13,1,9,1,11,1,8,2,9,2,8,1,9,3,8,1,10,2,9,1,11,1,10,1,8,1,9,2,11,1,17,1,9,1,11,1,16,1,11,1,16,3,17,1,11,1,16,2,17,2,11,1,17,3,16,1,11,2,16,2,17,1,16,3,11,2,16,4,11,1,16,2,11,1,16,5,11,2,16,4,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,4,10,1,13,1,6,1,8,1,13,1,6,2,13,6,6,1,28,1,30,1,6,2,29,2,7,1,13,1,6,1,7,1,13,1,6,1,28,4,30,2,6,2,9,3,8,1,9,2,13,1,7,1,13,1,6,2,13,1,6,1,13,2,8,1,9,1,13,2,8,1,30,1,13,1,8,1,13,3,6,2,29,1,30,2,6,2,28,1,6,1,28,1,30,1,7,1,9,4,11,1,9,1,10,1,9,1,11,1,8,1,9,2,11,1,17,1,9,2,11,1,12,1,10,1,11,1,12,2,11,1,9,1,10,1,9,3,17,2,12,1,17,2,11,1,17,1,9,1,17,1,10,1,11,1,12,1,17,24,11,2,17,1,9,1,16,2,17,3,16,1,17,4,11,1,17,4,16,1,17,1,11,1,17,5,16,2,17,4,11,2,17,1,12,1,17,1,12,1,17,11,12,1,11,4,9,1,11,3,9,1,8,1,9,1,8,2,9,1,13,1,11,1,10,1,11,1,9,1,17,1,8,1,12,1,9,1,11,1,8,1,11,2,12,1,10,1,9,1,11,1,17,1,24,1,12,1,10,1,12,1,10,1,12,1,8,1,11,1,8,1,10,1,12,1,9,2,11,1,9,1,10,1,11,1,24,1,9,2,8,1,10,2,17,1,11,1,9,1,12,1,8,1,9,1,11,1,12,1,11,1,10,1,17,1,11,1,12,1,17,2,9,1,17,1,11,2,9,1,11,1,10,1,17,1,12,1,13,1,12,1,9,1,8,1,17,1,10,3,11,1,17,1,11,1,17,10,16,1,17,27,16,1,17,3,16,1,17,5,12,1,17,3,12,2,17,3,16,3,11,1,17,1,11,2,16,3,17,1,16,1,17,2,16,1,17,3,11,1,16,1,9,1,17,5,9,1,13,1,5,18,28,12,30,1,11,1,14,1,17,1,11,1,24,1,8,1,13,1,6,3,28,1,29,1,6,1,9,1,10,1,17,1,10,1,8,1,28,6,17,2,8,1,30,3,28,27,13,1,17,2,12,1,9,1,8,1,13,1,9,1,12,1,8,1,9,1,13,1,30,1,28,3,}, {10,1,9,1,11,1,10,1,8,2,7,1,24,1,10,1,15,2,29,1,28,16,30,1,29,1,28,17,30,2,28,2,24,1,13,1,8,2,17,2,14,1,6,2,30,1,29,1,30,1,7,1,8,1,17,1,8,1,13,1,24,1,13,2,7,1,8,1,13,2,7,1,29,1,10,1,15,1,7,1,13,1,29,1,6,3,24,1,11,1,12,3,9,1,24,1,8,1,7,1,8,1,13,1,16,2,11,1,16,1,8,1,16,1,24,1,17,1,14,1,9,1,30,1,28,7,30,1,28,4,30,1,28,8,6,1,28,1,6,1,13,1,9,1,12,2,24,1,11,1,9,1,8,1,6,2,29,1,30,1,6,1,30,1,13,1,17,1,12,1,16,1,17,1,10,1,8,1,7,1,9,1,13,1,8,1,13,1,8,1,7,1,8,1,24,1,11,1,16,1,15,1,13,1,28,2,29,1,28,7,30,1,6,2,28,1,8,1,11,1,17,1,9,1,11,4,9,2,16,1,13,2,9,1,13,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,3,13,1,11,1,13,2,8,2,9,2,16,1,10,1,28,36,30,2,29,1,6,2,7,2,13,1,8,1,13,1,9,1,12,2,11,1,12,2,17,12,12,1,13,1,6,2,29,2,30,1,28,2,30,1,28,9,30,1,28,2,30,2,28,1,30,1,29,1,28,1,6,1,28,1,30,1,7,1,28,2,29,1,28,1,6,1,28,7,29,1,30,5,29,1,28,1,30,1,28,80,29,1,28,1,30,3,6,1,13,1,6,1,29,1,7,1,6,1,29,2,6,1,30,1,6,2,30,2,29,2,30,1,29,1,28,2,6,1,28,7,30,1,28,8,29,1,28,2,29,1,30,2,7,1,29,1,7,2,8,3,13,1,24,1,8,2,24,2,9,1,7,1,8,3,24,1,9,2,12,1,10,1,24,1,12,1,9,1,12,1,24,2,8,1,10,1,24,2,9,1,10,1,12,1,24,1,9,1,12,2,9,1,10,1,8,1,9,2,10,2,12,1,8,1,24,1,8,2,24,1,9,1,8,1,24,1,13,1,8,1,6,1,8,1,7,2,6,1,8,2,7,2,13,1,7,1,13,1,8,1,7,1,13,1,7,1,6,1,8,1,7,1,8,3,12,1,8,1,10,1,17,1,9,1,24,1,8,1,17,1,12,1,24,1,9,2,17,1,12,1,9,1,10,3,12,2,17,1,11,1,17,2,9,1,12,2,8,1,7,1,8,1,7,2,6,1,13,1,29,1,7,1,28,1,7,1,13,1,6,1,8,1,29,1,6,1,28,1,29,1,28,3,30,1,28,48,30,1,28,2,30,2,28,1,6,1,30,1,7,1,6,2,24,1,6,1,8,1,30,1,7,2,29,1,6,2,29,1,30,2,28,1,30,1,6,1,29,1,30,1,6,1,30,1,7,3,13,1,8,1,7,1,8,1,24,1,8,2,17,2,29,1,28,34,6,1,30,1,7,1,28,1,30,1,29,2,30,1,28,2,30,1,28,32,29,1,30,1,28,1,13,1,7,1,8,2,24,1,9,1,24,1,12,1,11,2,10,2,9,1,12,1,10,1,9,1,24,1,8,1,10,1,8,2,7,1,13,1,9,2,10,1,11,6,16,1,11,1,9,1,11,2,16,1,11,1,9,3,11,1,9,3,11,1,9,1,13,1,9,1,10,1,16,1,9,7,11,1,9,6,13,1,9,2,13,1,9,1,13,1,8,1,9,1,11,1,9,2,13,1,8,2,11,1,9,5,11,1,10,1,9,1,10,1,11,1,16,1,9,4,16,1,11,1,9,1,11,1,9,2,13,1,9,2,8,1,11,2,13,1,9,5,8,1,11,1,9,5,8,1,13,2,10,1,13,1,8,1,13,2,9,1,13,1,9,2,13,1,8,1,6,1,13,1,6,1,13,3,8,1,13,1,9,1,13,1,9,1,8,1,13,6,9,1,13,1,8,1,13,2,8,1,13,1,8,2,13,1,9,2,8,1,9,3,13,2,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,11,1,13,1,9,2,13,1,9,1,6,1,9,1,13,2,8,3,13,1,9,1,8,2,13,1,8,1,9,2,11,1,9,1,13,1,11,1,9,2,11,1,9,2,13,2,9,1,8,1,11,1,9,2,10,1,13,1,9,1,13,1,10,1,8,3,13,5,33,55,5,362,13,1,30,2,7,1,9,1,13,1,12,1,8,1,10,1,8,1,7,1,13,1,8,1,12,1,24,1,13,1,8,2,9,1,13,1,6,2,13,2,8,1,7,2,13,2,7,1,13,1,7,2,24,1,13,1,8,1,9,1,24,1,12,2,8,1,9,2,12,2,17,2,10,1,9,3,24,1,29,1,13,1,10,1,13,1,24,1,28,2,30,1,6,3,30,1,28,1,30,1,29,1,6,1,7,1,30,1,29,1,28,1,30,2,28,1,30,1,29,1,30,2,28,1,30,2,6,1,7,1,30,1,6,2,29,1,6,2,13,2,6,2,13,1,8,1,6,1,29,1,6,1,13,1,30,1,6,1,7,2,13,1,29,1,7,1,13,1,6,2,13,1,6,1,13,4,8,5,13,1,8,1,9,3,10,1,9,1,11,2,10,1,16,1,11,1,9,3,11,2,16,7,11,5,9,1,11,2,16,3,11,2,16,2,11,2,13,3,7,1,13,1,29,1,7,1,6,2,29,1,13,1,7,2,13,2,7,1,13,2,9,1,13,1,6,1,13,5,9,4,16,4,17,2,16,1,17,3,13,1,30,1,13,2,6,1,13,1,6,2,13,3,9,1,16,2,17,5,16,1,13,1,30,1,28,1,30,1,28,1,13,1,30,2,13,4,9,1,11,1,17,4,13,2,7,1,6,1,28,1,7,1,30,1,28,1,6,1,29,2,13,1,6,1,7,1,30,1,13,1,29,1,6,1,13,1,8,1,13,1,7,1,6,1,8,1,7,1,13,1,29,1,7,1,30,1,6,2,29,1,28,1,7,1,6,1,7,1,13,1,6,1,30,1,7,1,6,2,8,1,6,1,13,1,8,2,13,1,11,2,8,1,9,1,7,1,8,2,12,1,10,1,9,1,12,1,24,1,8,1,17,1,24,1,11,1,10,1,8,1,9,1,13,2,10,1,9,2,12,1,8,1,9,1,12,1,17,1,10,1,12,1,9,1,13,1,12,1,11,1,9,1,17,1,9,1,10,1,12,2,16,1,17,2,11,1,12,2,16,1,11,1,12,1,17,1,9,1,17,1,11,2,17,1,10,1,11,1,12,1,16,1,17,1,16,1,9,1,17,1,11,1,12,1,16,1,17,6,16,1,10,1,17,2,9,1,17,4,12,1,17,1,9,1,11,1,9,1,11,1,16,1,10,1,11,1,9,1,12,1,11,1,9,1,12,2,11,1,10,2,8,1,10,1,17,1,11,1,9,1,11,2,12,1,17,1,9,4,12,1,9,2,11,2,12,1,9,1,17,1,9,1,17,1,12,1,9,1,24,1,12,1,10,1,12,1,17,1,12,1,10,1,12,1,24,1,13,3,9,1,13,1,8,2,11,1,9,2,13,2,9,1,8,4,13,1,9,1,13,1,9,1,13,2,8,1,9,2,8,1,13,1,8,1,11,1,9,1,8,1,10,2,8,1,13,1,9,1,10,2,9,1,11,1,9,3,16,1,11,1,9,1,11,1,9,1,16,1,11,1,17,2,11,1,16,1,17,1,11,1,16,2,11,2,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,3,11,1,16,2,17,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,17,1,11,2,16,2,9,1,11,3,17,1,9,1,11,1,16,1,11,5,16,1,11,1,10,1,11,1,10,1,11,2,16,1,11,1,10,1,9,1,13,4,7,1,9,1,13,2,8,1,13,3,28,3,30,1,28,2,30,1,6,1,7,1,13,2,28,6,30,2,7,1,13,1,8,2,9,1,13,1,7,1,13,3,28,1,30,1,13,1,6,1,13,3,7,1,9,1,13,2,6,1,13,2,8,1,30,2,6,1,29,1,6,1,7,1,30,1,13,1,30,3,28,1,30,2,13,1,9,3,8,1,12,1,9,1,11,1,9,8,12,1,9,1,17,2,11,1,10,1,9,2,11,1,9,1,11,1,12,1,11,1,17,1,11,1,17,1,12,2,11,5,17,1,11,1,17,24,16,1,17,2,16,1,17,12,11,1,17,9,16,1,17,1,16,1,17,2,11,1,17,2,11,1,17,1,12,1,17,2,12,1,17,3,16,1,17,3,12,1,11,1,17,2,11,1,17,1,12,1,17,1,11,1,10,1,12,1,11,1,9,1,13,3,9,1,13,2,11,1,9,1,11,1,10,1,12,1,9,1,12,1,17,1,11,1,12,3,9,1,12,1,9,1,17,1,24,1,11,1,9,1,8,1,17,1,10,1,12,1,8,1,9,1,10,1,9,2,17,1,11,1,9,1,10,1,9,1,11,2,10,1,9,1,17,1,9,2,17,1,9,2,8,1,9,1,10,5,9,2,12,1,10,1,11,1,17,2,11,1,9,1,11,2,13,1,10,1,11,1,12,2,10,1,9,1,17,1,11,2,17,1,13,1,8,1,17,36,16,1,17,12,11,1,12,1,11,1,17,5,11,1,17,1,16,2,17,6,16,1,17,2,16,1,11,1,17,1,11,1,17,1,11,1,16,2,11,3,17,3,11,1,9,1,13,1,6,1,5,13,13,1,28,2,6,1,28,10,16,1,17,1,16,1,10,1,8,1,13,1,6,2,29,1,6,1,29,1,6,2,13,1,9,1,12,1,11,1,13,1,28,6,17,2,8,1,30,1,28,1,30,1,28,27,8,1,17,3,9,1,6,1,13,1,14,1,10,1,24,1,9,1,7,1,30,1,28,2,30,1,}, {8,1,10,1,12,1,8,1,6,2,13,1,8,2,24,2,29,1,28,16,29,1,30,1,28,3,30,1,28,13,30,1,29,1,30,1,6,1,24,1,13,1,10,1,8,1,11,1,14,2,13,1,30,1,6,2,30,1,6,1,10,1,17,1,13,3,9,1,6,1,8,1,30,1,24,1,13,2,28,1,24,1,14,1,11,1,13,1,6,1,29,1,30,2,24,1,12,1,17,1,9,2,8,1,12,1,8,2,6,2,17,2,9,1,10,1,9,2,12,1,16,1,14,1,8,1,28,1,30,1,28,21,29,2,13,1,9,2,12,1,10,2,9,1,24,1,30,1,29,1,6,1,30,1,28,1,6,1,8,1,16,1,17,1,16,1,11,1,9,2,13,1,8,1,13,1,24,1,8,1,13,1,8,1,6,1,9,1,11,1,17,1,9,1,7,1,30,1,28,1,30,1,29,1,28,1,29,1,28,5,13,1,30,1,28,1,10,2,17,2,9,1,8,1,9,2,16,2,9,1,13,1,8,1,13,5,11,1,13,1,9,1,11,1,9,2,13,2,9,1,8,1,9,1,13,4,9,1,16,1,13,1,28,38,29,1,30,1,6,3,7,1,6,1,13,3,24,1,12,1,9,1,12,3,17,3,12,1,17,5,12,2,8,1,13,1,6,1,13,1,28,1,6,1,30,2,28,10,30,1,28,1,30,1,29,1,6,1,28,1,29,1,30,1,29,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,30,3,28,1,30,1,29,2,28,1,30,2,28,1,6,1,30,1,29,3,28,2,30,1,28,77,29,2,30,1,29,1,30,1,6,1,7,1,6,1,28,1,8,1,29,1,30,1,7,1,30,1,29,1,7,1,29,1,6,1,30,1,29,2,28,8,30,1,28,9,30,1,28,2,30,1,28,1,30,2,28,1,6,1,30,1,7,1,29,1,6,1,13,2,6,2,13,1,7,1,6,1,13,2,30,1,28,1,30,1,29,1,28,1,29,1,7,1,30,1,13,1,8,1,13,1,24,2,12,1,24,1,9,1,24,2,13,1,10,1,8,1,24,1,8,1,12,1,8,1,24,1,12,1,7,1,24,1,12,1,24,1,10,1,24,1,8,2,6,1,8,1,24,4,8,2,7,3,6,1,13,2,7,2,13,1,8,1,13,1,6,4,29,1,8,1,13,1,8,1,24,1,8,2,13,1,8,1,24,1,12,1,8,1,24,3,9,2,10,1,24,2,10,1,17,1,8,1,12,1,9,1,17,1,9,1,17,1,10,1,17,1,10,1,11,1,9,1,17,1,12,1,17,1,8,1,9,1,10,1,8,1,9,1,13,2,6,1,13,1,7,1,6,1,12,1,10,1,7,1,29,1,13,1,8,1,29,1,6,1,28,1,6,1,28,53,30,1,28,1,6,1,30,1,7,1,6,1,7,1,13,4,6,1,13,1,8,1,6,1,13,1,28,1,29,1,30,1,7,1,6,1,28,1,29,1,28,1,30,1,29,1,30,1,29,1,6,1,13,1,7,1,13,1,24,1,8,1,24,1,10,1,9,1,10,1,17,1,9,1,28,25,30,1,28,3,30,1,28,5,29,1,28,1,6,1,28,3,29,1,28,1,29,1,28,1,29,1,28,33,6,3,8,1,13,1,24,3,12,1,10,1,9,2,12,1,10,1,17,1,8,1,24,1,10,1,24,1,12,1,9,2,13,2,9,1,10,1,11,1,16,2,9,2,11,1,16,1,11,2,16,1,9,1,11,2,9,1,16,1,11,1,10,1,11,5,9,2,11,1,9,1,11,1,10,1,9,3,13,1,9,1,13,1,11,1,9,1,11,1,8,1,11,1,9,6,13,1,8,1,9,2,11,1,9,2,10,1,9,5,16,1,9,3,11,1,16,1,13,1,16,1,8,1,10,1,9,7,13,1,8,1,9,1,13,1,9,1,13,1,9,2,8,1,11,1,9,2,11,1,9,1,11,1,9,2,13,1,8,1,9,1,8,1,13,1,9,1,10,1,11,1,9,4,13,1,9,2,13,4,30,1,6,1,29,1,13,4,9,2,13,2,9,1,6,1,13,2,7,1,9,1,8,1,13,6,9,1,8,2,9,2,13,1,9,1,8,1,9,1,8,2,9,2,13,3,9,1,8,1,9,1,13,1,9,2,8,1,9,2,8,1,6,1,9,1,8,1,13,1,8,2,9,1,8,1,13,1,8,1,13,2,9,1,11,1,9,3,11,1,9,1,10,1,11,1,9,1,10,1,9,1,10,1,11,1,9,2,8,1,9,1,8,1,9,1,13,1,9,4,13,1,9,1,13,2,8,2,13,4,33,53,5,362,13,1,28,1,29,1,7,1,13,1,9,1,13,1,10,1,8,2,17,2,9,1,10,1,24,1,10,2,8,1,7,1,13,1,8,1,7,2,9,1,6,1,7,1,13,5,24,1,8,1,13,1,10,2,24,1,11,1,24,1,12,1,11,1,10,1,17,1,12,1,10,1,9,1,24,1,8,1,9,1,7,1,13,1,6,1,9,1,12,1,7,1,30,1,28,2,30,1,6,2,30,1,28,1,30,1,6,2,29,2,28,2,30,1,28,5,30,1,28,1,6,1,30,1,7,1,30,2,6,1,13,1,6,1,29,1,6,1,7,1,13,1,29,1,7,1,6,3,30,1,29,1,7,1,6,2,8,1,6,1,29,1,7,2,6,2,13,1,7,1,13,2,6,1,13,5,8,2,9,3,11,1,9,2,11,1,10,1,11,1,9,1,10,1,11,2,9,1,16,1,11,3,16,1,11,1,16,4,17,1,16,2,11,1,16,1,11,3,16,2,11,1,16,1,11,1,16,1,11,2,12,1,11,1,13,1,8,1,13,1,7,3,28,1,13,1,6,1,30,2,13,1,6,1,7,1,13,2,6,1,13,1,9,1,13,1,6,2,13,3,6,1,13,1,9,1,16,1,9,2,16,1,11,1,17,2,16,1,17,2,16,1,17,2,11,1,6,1,30,1,13,1,6,2,13,1,6,2,13,2,9,2,16,1,17,5,11,1,16,1,13,2,28,1,30,1,6,2,30,2,13,3,8,1,9,1,16,1,17,3,16,1,11,1,8,1,30,1,6,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,29,2,7,3,13,1,8,1,13,1,7,1,13,1,6,1,13,1,8,2,6,1,7,1,6,1,13,1,29,1,6,2,7,1,6,3,7,1,13,2,6,1,8,1,7,3,9,1,6,1,10,1,8,1,13,1,9,1,24,1,12,1,9,1,17,1,10,1,13,1,8,1,10,1,8,1,17,1,8,2,9,2,10,1,9,1,10,1,8,1,9,1,24,1,10,1,9,1,17,2,11,1,10,5,12,1,8,2,9,2,11,1,17,1,11,1,12,1,9,1,11,1,12,1,16,1,11,1,17,1,11,1,17,1,11,2,12,1,11,1,8,1,10,1,9,1,17,1,9,1,17,1,11,1,17,1,10,1,9,1,17,1,12,1,17,1,11,1,12,1,11,2,10,1,17,1,16,1,11,1,12,1,17,3,9,1,16,1,12,1,17,1,11,1,16,1,12,1,17,1,9,1,17,1,9,1,17,2,12,1,17,1,10,1,12,1,11,1,10,1,17,2,16,1,17,3,9,1,12,2,9,1,12,1,10,1,12,1,24,1,17,1,12,1,10,2,9,1,12,1,11,1,12,1,10,1,17,1,10,1,12,2,17,2,12,1,17,2,8,2,13,1,8,2,6,1,13,1,8,2,13,2,9,1,13,1,8,1,9,1,8,1,24,1,8,3,13,1,8,1,13,1,8,3,13,2,8,3,13,1,10,1,9,1,8,1,9,1,8,1,10,1,12,1,9,2,12,1,11,2,10,1,16,1,9,1,11,1,10,1,11,1,16,1,11,1,16,2,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,9,1,16,3,11,1,16,1,17,3,16,1,17,1,16,2,11,1,16,1,9,1,11,1,16,2,11,5,16,2,11,1,17,1,11,2,17,1,11,1,16,1,9,1,16,1,11,3,16,1,11,4,9,1,17,1,11,1,16,1,9,1,11,6,9,1,7,1,13,1,7,1,30,1,7,1,13,3,7,1,13,1,6,2,29,1,28,1,6,1,28,4,30,1,6,4,28,7,13,3,9,3,13,1,7,1,29,1,6,1,7,1,6,1,28,1,13,1,6,1,8,2,13,1,7,1,13,2,6,1,7,1,13,1,6,2,13,1,29,1,7,1,29,1,30,1,7,1,30,1,6,1,28,2,29,1,28,1,30,1,28,1,13,1,11,1,9,1,8,1,10,1,9,2,10,1,9,2,8,1,11,2,9,1,11,1,17,3,11,3,9,1,10,1,11,1,12,1,11,1,10,1,12,1,17,1,11,1,17,1,11,4,17,1,11,1,12,1,11,1,12,2,11,1,17,3,12,1,17,13,12,1,17,2,11,1,17,13,16,1,17,3,11,1,16,1,17,4,11,2,17,1,11,2,16,1,17,2,16,1,17,3,12,1,17,14,11,1,12,1,17,3,11,5,9,2,13,2,8,1,13,1,11,1,9,1,11,1,12,2,10,3,11,1,9,1,11,1,8,1,12,1,17,1,9,1,17,1,9,1,17,1,8,1,17,1,24,1,9,1,24,1,9,3,11,1,24,1,12,1,9,1,17,1,9,5,11,1,12,1,11,1,12,1,8,1,9,1,8,1,10,1,9,1,12,1,13,1,9,1,10,1,12,1,11,1,10,1,12,1,17,1,12,3,17,1,11,1,9,1,8,1,11,1,17,1,10,2,8,1,16,1,9,4,10,1,11,1,9,1,17,13,16,1,17,32,11,1,17,2,11,1,17,4,16,1,17,4,11,1,17,1,16,1,17,1,16,1,17,5,16,2,17,4,11,1,16,2,17,1,11,2,17,4,16,1,9,1,28,2,5,12,28,13,30,1,11,1,17,1,16,1,12,1,13,1,8,1,13,1,7,1,29,2,30,1,6,1,13,1,24,3,12,1,8,1,28,5,30,1,10,1,16,1,24,1,28,30,9,1,17,1,11,1,12,1,24,1,13,1,8,1,15,1,9,3,7,1,30,1,28,3,}, {12,1,9,1,12,1,9,1,13,1,7,1,13,1,7,1,24,1,14,1,12,1,28,18,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,12,29,1,6,1,13,2,8,1,13,1,8,1,10,1,14,2,13,1,6,1,13,1,6,1,29,1,13,1,8,1,12,1,8,1,7,1,13,1,6,1,13,1,8,1,13,1,8,1,6,1,8,1,6,1,8,1,17,1,9,1,6,1,13,1,6,1,29,1,6,1,9,1,17,1,15,1,9,1,8,1,11,1,9,1,8,3,24,1,15,1,12,1,17,1,9,1,8,1,10,2,16,1,14,1,8,1,6,1,28,6,30,1,28,2,30,1,28,12,29,1,28,1,8,1,9,2,24,1,9,1,15,1,12,1,13,1,29,1,6,1,29,4,8,1,17,1,12,1,17,1,12,1,17,1,8,2,13,2,24,2,8,1,13,1,8,2,11,1,17,2,6,1,7,1,28,1,30,1,6,1,28,1,30,1,28,5,13,1,8,1,7,1,8,1,11,1,17,2,9,1,11,2,16,1,8,1,11,1,9,1,8,1,13,2,8,1,13,2,8,1,9,1,13,1,11,1,9,4,11,1,13,1,9,1,13,3,8,1,11,1,17,1,11,1,6,1,28,2,30,1,28,4,29,1,28,29,6,1,28,1,6,1,7,1,29,1,13,1,6,1,7,3,29,1,13,1,7,1,24,1,9,1,17,2,12,1,17,3,12,1,17,5,11,1,9,1,7,1,6,1,30,1,28,2,30,1,28,1,30,1,28,9,30,2,6,2,13,1,28,2,29,2,6,1,30,1,28,1,30,1,28,3,29,1,30,1,6,1,28,1,13,1,28,2,30,2,28,2,7,1,6,1,30,2,28,1,30,2,28,17,30,1,28,62,30,1,28,1,6,1,28,2,7,1,30,1,8,1,6,2,7,1,29,1,30,1,7,1,28,1,6,1,30,2,28,22,29,2,28,1,30,1,28,1,30,2,28,2,7,1,30,2,29,2,28,6,30,1,28,7,30,1,29,1,30,1,6,2,7,1,8,1,24,1,6,1,24,1,8,1,24,3,10,1,8,1,24,4,8,2,13,1,24,1,13,1,24,1,8,2,13,1,8,1,13,1,7,1,24,1,6,1,8,1,13,2,7,2,13,2,29,1,7,1,30,1,29,1,8,1,7,1,6,1,7,1,13,1,6,1,13,1,6,2,13,1,7,1,25,1,8,1,13,1,24,1,8,2,12,1,13,1,17,1,12,3,24,1,10,1,17,1,8,1,10,1,11,1,9,1,8,1,9,1,10,2,24,1,17,1,10,1,17,3,10,1,9,2,24,1,10,1,13,1,9,1,6,3,7,1,6,1,30,1,6,1,13,1,30,1,7,1,28,1,29,1,30,1,6,1,28,52,30,1,28,1,30,1,7,1,28,1,30,2,7,1,13,1,7,1,6,1,8,1,6,1,8,1,7,1,6,2,29,1,6,1,30,1,29,1,7,1,30,2,29,1,28,2,6,1,13,1,6,1,7,1,29,1,7,2,24,1,13,1,24,1,9,1,10,1,17,1,8,1,28,30,29,1,30,2,28,1,30,2,28,3,29,1,28,2,29,1,30,1,28,1,30,2,28,28,30,1,28,1,30,1,28,1,6,1,29,1,13,2,7,1,12,1,9,1,24,1,12,1,10,1,11,1,12,1,10,1,9,1,17,2,9,1,8,1,10,1,9,1,8,1,9,1,29,1,8,1,9,1,11,1,16,1,11,1,9,1,16,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,10,1,16,2,9,1,11,3,9,1,11,1,9,1,11,2,9,3,10,1,11,1,9,3,11,2,13,1,9,2,8,1,16,1,9,1,13,1,9,3,11,1,9,6,13,1,9,3,11,2,9,2,8,1,11,2,8,1,16,1,9,1,11,1,9,1,13,1,9,5,10,1,8,1,9,4,8,1,11,1,9,1,11,1,9,1,11,1,13,1,9,1,13,1,16,1,13,1,9,1,8,1,9,1,13,2,9,1,8,1,11,1,9,1,11,1,8,1,9,2,10,1,9,1,13,1,9,1,13,1,8,1,13,1,6,1,28,1,8,1,13,2,9,1,13,1,9,3,13,1,8,1,13,3,6,2,8,1,9,1,13,4,8,1,13,2,9,2,13,1,9,1,11,1,13,2,8,1,10,2,8,1,9,4,11,1,9,3,11,2,9,3,11,1,10,1,9,5,11,1,9,1,8,2,9,1,8,1,9,2,10,2,9,3,10,1,9,6,11,1,9,1,13,1,9,2,8,1,13,2,9,1,8,1,9,2,13,4,9,1,13,3,33,53,5,362,9,1,30,1,28,1,30,1,6,1,24,1,8,2,9,1,8,1,9,1,10,2,24,1,10,1,24,1,13,1,6,1,13,1,7,1,8,1,13,1,24,1,13,1,8,3,7,1,13,1,24,1,8,1,13,1,24,1,13,1,7,1,24,1,9,1,8,1,12,2,17,2,24,1,12,1,8,1,9,2,13,1,10,1,13,2,17,1,24,1,8,1,30,1,28,1,13,1,6,1,7,2,6,2,28,1,6,2,7,1,30,4,28,1,29,1,30,1,28,2,30,2,7,1,28,1,7,1,30,1,13,1,6,1,13,1,29,1,13,1,6,1,13,1,7,1,6,1,13,2,6,1,30,1,13,1,7,1,6,2,30,1,13,1,30,1,29,1,7,1,6,1,13,1,6,2,29,1,13,1,6,1,7,1,8,1,13,1,7,1,13,3,8,1,13,1,9,5,16,1,9,1,11,1,10,1,9,1,16,1,11,1,10,1,11,2,16,2,11,3,17,1,11,1,16,1,17,2,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,3,11,1,16,2,17,1,12,1,9,2,7,1,13,2,7,1,6,1,30,1,6,1,13,1,30,1,28,1,29,1,7,1,28,1,13,2,6,1,30,1,9,1,11,1,13,2,6,1,13,1,6,1,13,4,16,1,9,1,11,1,16,2,17,3,16,1,17,4,11,1,13,1,6,1,13,3,6,2,13,2,9,1,13,1,9,1,16,2,17,4,16,2,9,1,13,1,30,3,6,2,13,1,30,1,6,1,13,1,9,1,11,1,16,2,17,3,16,1,9,1,13,1,29,1,13,1,30,1,13,1,6,2,29,1,7,1,29,1,6,1,30,1,7,1,29,1,7,1,28,1,7,1,13,1,8,2,7,1,6,1,13,1,8,1,7,1,13,1,7,1,6,2,24,1,28,1,29,1,13,1,7,1,6,1,13,1,6,1,29,1,13,1,6,1,8,1,7,1,13,1,9,1,8,2,9,1,24,1,9,1,8,1,9,2,12,3,8,1,17,1,9,3,24,1,9,3,13,1,11,1,24,1,13,1,8,1,9,4,17,1,8,1,10,1,11,1,17,1,11,1,12,1,17,1,11,1,17,1,8,1,10,1,17,2,16,2,11,1,12,1,11,2,16,1,17,2,10,1,16,1,17,1,9,1,11,1,12,1,16,1,11,1,17,1,9,1,16,1,10,1,17,1,11,1,17,6,16,1,17,1,8,1,9,1,17,3,9,1,16,1,11,1,16,1,10,1,17,1,10,2,11,1,17,1,12,1,9,1,11,2,17,2,9,1,17,1,12,2,17,1,9,1,10,1,9,1,11,2,16,1,9,3,10,2,12,1,9,2,17,1,12,1,17,1,8,1,17,1,10,1,12,1,17,1,10,1,12,1,9,1,17,1,12,1,9,2,8,1,9,1,7,1,13,1,8,1,13,1,8,3,13,2,24,1,13,1,8,2,13,2,8,3,6,1,13,2,24,1,13,4,9,1,13,1,9,1,13,1,8,1,13,3,9,2,8,1,9,1,8,1,11,1,10,1,11,1,9,2,16,1,11,7,9,1,11,4,9,1,11,1,10,1,9,1,11,1,9,2,16,1,11,2,17,7,11,1,16,1,17,1,16,2,11,2,9,1,11,1,10,2,11,1,16,1,11,2,10,1,11,1,16,1,11,1,16,3,11,3,16,1,11,2,10,1,11,1,16,2,11,2,16,1,11,2,16,1,11,1,16,1,11,2,9,1,10,1,30,2,13,4,8,1,13,3,7,2,28,3,30,1,28,4,30,2,13,1,6,1,28,7,13,1,7,1,13,1,9,1,8,2,13,2,7,1,6,2,29,1,28,1,6,1,7,1,13,2,7,1,13,3,6,1,13,1,30,1,13,1,29,1,30,1,13,2,30,1,13,1,30,1,29,1,6,1,28,2,30,1,28,3,6,2,8,1,9,1,13,2,8,1,9,2,8,1,10,1,9,1,10,1,17,1,11,2,12,1,11,2,9,3,11,1,12,2,11,1,10,1,17,1,11,3,12,1,9,2,10,1,11,1,12,1,11,1,10,1,11,1,17,1,11,2,12,1,11,1,17,17,16,1,17,13,11,1,17,1,11,1,17,3,12,1,11,1,17,2,16,1,17,3,11,1,17,12,11,1,17,4,16,1,11,1,17,8,12,1,17,2,11,1,9,4,13,1,8,1,9,1,8,1,11,1,9,1,10,1,17,1,11,1,17,1,10,1,12,1,11,1,12,1,11,1,12,2,11,1,9,1,10,1,24,1,12,1,17,1,12,1,10,1,11,1,12,1,9,1,8,1,24,1,11,1,12,1,10,1,13,1,12,1,24,1,9,2,17,1,13,1,17,1,9,2,13,1,9,1,17,1,11,1,10,1,9,1,17,1,11,1,12,1,10,1,12,1,9,1,17,1,10,1,12,1,10,1,9,1,12,1,8,1,12,1,9,1,11,1,9,1,10,1,11,1,9,1,17,1,10,1,9,1,10,1,17,1,10,1,11,2,17,9,16,1,17,2,16,1,17,35,16,1,17,4,16,1,17,7,16,1,11,1,16,1,17,1,11,1,16,1,17,1,11,1,16,2,17,1,16,1,17,1,16,3,11,1,17,1,11,1,10,1,11,2,12,1,17,1,11,2,5,1,28,1,33,2,5,9,28,13,30,1,11,1,17,1,11,1,10,1,9,1,13,1,8,1,6,1,30,1,6,2,7,1,13,1,8,1,12,1,11,1,12,1,13,1,28,5,30,1,9,2,13,1,28,30,8,1,17,2,10,1,13,1,28,1,10,1,12,1,9,2,24,1,29,1,28,4,}, {13,1,17,1,12,1,8,1,13,1,7,1,8,3,14,1,15,1,30,1,28,16,30,1,28,1,29,1,28,4,30,1,28,10,30,2,28,1,6,1,29,1,24,1,8,3,11,1,15,1,14,1,8,1,13,2,7,1,30,1,6,1,24,1,17,1,8,1,6,1,13,1,29,1,13,1,29,1,7,1,13,1,7,1,6,1,30,1,8,1,17,1,15,1,13,1,29,1,7,1,30,2,12,1,15,1,17,1,12,1,11,1,9,1,24,1,9,1,13,3,17,2,12,2,9,3,14,2,9,1,28,20,29,1,28,3,30,1,13,1,9,2,8,1,12,2,15,1,6,1,30,1,28,1,30,1,29,1,30,2,13,1,12,1,17,1,16,1,12,1,17,1,8,4,24,1,6,1,8,1,29,1,13,2,17,1,14,1,16,1,8,1,13,1,28,1,6,1,30,5,28,1,6,2,12,1,10,1,6,1,9,1,11,1,17,2,11,3,9,1,10,1,9,2,8,1,9,1,13,2,9,5,13,1,16,1,9,4,13,1,8,2,13,1,11,2,9,1,11,1,13,1,30,1,28,1,6,1,30,1,7,1,30,1,28,1,6,1,29,1,28,2,29,1,28,24,29,1,28,1,29,2,6,1,30,1,13,1,7,1,13,1,29,1,7,1,8,1,7,1,6,1,8,3,24,1,9,2,17,10,24,1,13,1,7,1,29,3,30,2,28,2,30,1,28,7,30,1,28,1,30,1,6,1,29,1,30,1,28,1,29,1,28,3,6,1,28,1,29,1,30,2,29,1,30,1,28,2,6,1,28,2,29,1,28,2,7,1,29,1,28,1,6,1,30,1,28,1,29,1,28,5,29,1,28,11,30,1,6,1,28,8,30,1,28,49,30,1,28,4,30,1,29,1,7,1,28,1,7,1,30,1,6,1,28,1,6,1,30,2,28,1,6,1,28,2,30,2,28,1,30,2,28,12,30,1,28,8,6,1,29,1,30,1,29,1,30,1,28,26,6,1,29,1,6,2,13,1,24,1,6,1,13,1,24,2,8,1,24,2,13,1,24,1,7,1,13,1,24,1,8,1,7,1,8,3,7,1,6,3,13,1,24,1,6,1,8,1,6,2,29,1,6,1,7,3,6,2,29,2,13,1,7,2,6,2,13,1,6,1,7,2,8,1,13,3,24,3,9,1,12,1,24,1,12,1,10,1,12,1,17,1,12,1,10,1,11,1,10,1,9,1,12,1,9,1,17,1,24,1,9,1,17,2,11,1,17,1,10,1,12,1,24,1,9,1,24,1,8,2,24,1,13,1,6,1,8,1,13,2,24,1,8,1,6,1,7,1,28,1,6,2,28,53,29,1,7,1,30,1,6,1,29,2,8,1,29,3,7,2,6,1,8,2,7,2,6,1,29,1,7,1,30,2,28,1,29,1,30,3,6,4,7,2,29,1,8,1,24,2,10,1,9,1,12,1,17,1,6,1,28,28,6,1,28,2,30,1,6,1,28,4,30,2,28,1,30,2,6,1,29,1,28,2,30,1,28,30,29,2,7,1,6,1,8,1,9,1,24,1,8,1,12,1,11,1,9,2,17,1,10,1,17,1,24,1,17,1,9,1,12,1,9,1,10,1,8,1,10,1,13,1,7,1,13,1,17,1,9,1,16,1,11,1,9,2,11,2,9,1,11,2,16,1,11,2,16,1,11,1,16,1,11,1,17,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,9,3,11,1,9,4,8,1,16,1,8,1,11,1,9,11,10,1,11,2,13,1,9,5,13,1,16,1,8,1,9,2,11,1,9,3,13,1,8,1,9,1,13,1,9,2,8,1,9,8,11,1,8,1,11,1,9,4,13,1,8,1,9,3,13,2,9,1,10,2,11,1,9,2,13,1,11,1,9,1,16,1,13,2,11,1,8,1,9,5,13,2,9,3,8,1,9,1,13,1,9,1,7,1,13,1,6,1,13,1,9,1,13,4,6,1,13,3,9,2,13,1,8,1,9,1,8,1,9,4,8,3,9,2,13,1,9,1,13,1,9,1,10,1,13,1,9,3,8,1,9,7,10,1,9,4,11,1,9,3,11,1,9,1,11,1,16,1,9,1,10,1,9,1,8,1,11,1,9,4,13,1,9,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,2,8,1,9,1,13,3,6,1,33,52,5,363,28,2,30,1,6,1,13,2,24,1,9,2,11,1,17,1,9,1,24,1,10,1,9,1,10,1,8,2,7,1,24,1,13,1,24,1,13,2,8,4,7,1,8,2,13,2,8,1,13,1,11,1,24,1,10,1,17,1,12,2,11,1,9,1,13,1,8,1,24,1,10,1,7,1,10,1,11,1,7,1,13,1,30,1,6,5,28,2,30,1,29,1,30,1,28,1,29,1,28,1,30,1,28,4,29,1,28,1,29,1,28,1,30,1,28,1,13,1,6,3,7,1,13,1,6,2,29,1,13,1,7,1,6,1,30,1,7,1,13,1,30,1,7,1,6,1,13,1,6,4,29,1,7,2,6,3,13,1,7,1,13,4,7,1,8,2,13,1,9,3,10,2,9,2,10,1,9,1,10,1,11,1,10,1,11,5,16,1,11,1,16,2,17,2,16,2,17,1,16,1,17,1,16,3,11,1,16,2,11,1,16,5,11,2,9,1,8,1,13,1,30,1,13,1,6,4,7,2,6,1,7,1,29,1,6,1,13,1,7,1,13,1,9,2,7,1,30,1,13,6,9,4,16,3,17,8,16,1,13,2,6,2,13,2,6,1,13,4,9,2,16,1,17,4,16,3,9,1,13,1,30,1,28,2,13,1,6,1,13,2,28,1,9,3,16,2,17,3,16,1,10,1,13,1,30,1,6,1,7,1,30,1,29,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,8,2,24,1,8,1,13,1,7,1,13,2,6,2,8,1,6,1,7,2,6,1,13,1,6,1,8,2,6,1,7,4,24,1,13,1,8,2,13,2,9,1,8,1,9,2,10,1,13,1,24,1,10,1,9,2,11,1,9,3,10,3,11,1,13,1,9,1,12,1,24,1,10,1,9,2,12,2,24,1,9,2,17,1,9,2,10,1,9,1,12,1,17,1,9,1,17,1,11,2,12,1,9,2,17,1,10,1,17,1,11,1,12,1,11,1,17,1,12,1,17,3,9,1,12,1,11,1,16,1,11,2,17,1,10,1,17,1,16,1,11,1,9,1,12,1,16,1,17,2,11,1,17,1,12,1,17,3,12,2,11,1,12,1,16,1,17,1,12,1,11,1,17,1,9,1,16,1,9,1,17,1,10,1,12,1,17,1,12,1,17,1,12,1,17,2,10,1,9,1,12,1,11,1,8,1,17,1,9,4,17,1,9,1,17,1,12,1,9,1,11,2,12,1,17,1,11,1,17,1,9,1,17,1,12,1,17,1,12,1,9,1,12,1,8,1,13,1,24,1,7,1,13,1,8,1,13,2,6,1,13,1,24,1,13,1,9,1,8,4,9,1,8,1,13,2,8,1,13,3,8,1,13,1,9,1,13,2,8,3,9,1,13,1,8,1,13,1,8,3,9,1,8,1,9,1,10,1,9,2,8,1,9,2,11,1,9,1,16,1,9,2,11,1,16,2,9,3,11,1,16,1,11,2,9,1,11,1,9,1,11,2,16,2,11,1,17,5,11,1,16,2,11,3,9,1,16,1,11,1,9,1,16,1,11,1,16,1,11,1,10,1,11,3,16,1,10,1,11,2,16,1,11,1,16,1,9,1,16,1,11,1,16,1,9,1,16,1,11,1,16,2,9,1,11,1,16,1,11,2,16,2,11,1,16,1,11,1,17,1,9,1,7,1,13,1,6,1,13,2,6,1,13,1,7,1,13,1,7,1,30,1,13,1,30,1,29,1,6,1,29,1,28,6,6,1,13,1,6,1,13,1,5,1,33,5,13,3,8,1,13,3,30,2,7,1,30,1,6,2,7,1,30,1,6,1,7,2,30,1,6,1,13,1,29,1,7,1,6,2,30,1,8,1,7,1,13,3,6,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,13,2,7,1,13,4,9,1,8,1,9,1,6,1,9,1,11,2,12,1,9,2,8,1,11,2,10,1,17,3,11,1,12,1,11,3,9,1,12,2,9,1,11,1,9,1,12,2,11,2,10,1,9,1,11,2,12,1,17,34,16,1,11,1,17,1,12,1,17,1,11,1,16,1,17,1,11,2,17,2,11,1,12,1,17,10,16,4,17,2,16,1,17,3,11,1,17,1,12,2,11,1,12,1,17,1,11,1,10,1,11,3,10,1,11,1,10,1,9,3,17,1,10,1,17,2,12,1,10,1,12,1,9,1,11,1,10,1,17,2,9,1,12,1,17,2,10,3,11,1,12,2,10,1,17,1,9,2,12,1,9,1,12,1,9,1,17,1,8,1,11,1,10,2,9,1,12,1,9,3,24,1,11,1,17,1,10,1,11,1,24,1,17,1,12,1,17,2,8,1,17,2,12,1,11,1,10,1,17,1,12,2,10,1,12,1,11,1,12,1,9,1,12,1,11,1,9,2,17,1,9,1,11,1,17,43,16,1,17,7,16,1,17,3,11,1,16,4,17,11,11,1,17,1,16,1,17,2,11,1,17,2,11,3,12,2,10,1,17,1,9,1,5,2,33,1,28,1,5,9,33,1,28,12,6,1,17,2,16,1,9,3,13,2,30,2,6,2,13,1,8,1,9,1,12,1,11,1,30,1,28,5,6,1,9,1,10,1,8,1,30,1,28,29,9,1,17,2,9,1,8,1,7,1,13,1,12,1,10,1,9,1,24,1,13,1,28,4,}, {8,1,11,1,9,2,8,1,7,1,13,1,29,1,15,1,14,1,15,1,13,1,28,16,30,1,28,1,30,1,28,15,30,1,6,1,29,1,28,1,30,1,13,1,8,1,24,1,8,1,11,1,14,2,13,1,29,1,7,1,29,2,13,1,24,1,17,1,24,1,30,1,6,1,8,1,7,1,6,1,13,1,8,1,6,2,28,1,8,1,17,1,8,1,7,1,30,1,29,1,7,1,29,1,8,1,12,1,24,1,9,1,10,1,8,2,24,1,13,2,9,1,17,3,12,1,10,1,9,2,17,1,14,1,13,1,6,1,28,1,30,1,28,9,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,1,6,1,24,1,8,1,24,1,10,1,9,2,13,1,28,1,29,1,6,2,7,1,28,1,24,1,10,1,17,4,13,1,9,1,8,2,9,1,13,1,8,1,13,2,7,1,10,1,17,1,16,1,9,1,6,2,30,1,6,1,13,2,29,2,28,3,7,1,6,1,28,1,29,1,9,1,12,1,17,1,11,1,16,2,9,5,13,1,9,4,11,1,9,2,13,1,9,1,8,1,9,3,13,1,9,1,16,1,9,1,16,1,9,1,11,1,9,1,13,1,6,3,29,1,7,1,6,1,7,1,6,2,7,1,30,1,28,25,30,1,28,2,29,1,6,1,29,1,7,1,29,1,6,1,13,1,7,2,13,2,8,1,24,1,13,1,24,1,9,1,12,1,9,2,12,1,17,7,12,1,13,1,6,1,30,1,28,4,30,2,28,9,6,1,29,1,30,2,7,1,30,1,6,1,28,2,30,1,28,1,29,2,28,1,6,1,29,1,30,1,29,4,28,1,30,2,28,1,6,1,7,1,30,2,28,5,30,1,28,14,29,1,28,3,29,1,28,2,30,1,28,49,29,1,28,1,6,1,28,3,30,1,7,1,29,1,28,1,29,1,28,1,6,3,30,1,29,1,28,1,6,1,28,1,6,1,29,1,28,2,30,1,28,3,30,1,28,9,30,1,28,5,30,2,28,1,6,2,13,1,30,1,28,31,30,1,29,1,30,1,25,1,8,1,7,1,13,1,8,1,12,1,13,1,24,1,8,1,24,1,13,2,24,1,8,3,24,1,8,1,24,1,8,1,6,1,13,1,7,1,8,1,13,1,8,1,6,1,30,1,8,1,6,1,28,1,6,1,30,1,6,1,29,1,6,1,7,1,6,1,7,1,29,1,13,1,6,1,7,1,29,1,13,1,29,1,8,3,24,1,8,1,7,1,24,2,17,1,9,1,10,1,9,1,10,1,17,1,12,1,17,1,10,1,17,1,11,1,12,1,10,2,12,1,13,1,12,1,17,1,10,1,17,2,12,1,11,1,10,1,9,1,24,2,13,1,8,1,9,1,8,2,13,1,24,1,7,1,28,1,13,1,29,2,28,54,29,1,28,1,29,1,30,1,7,1,6,2,13,1,7,1,6,1,8,1,24,1,7,1,8,2,6,1,7,1,6,1,25,1,8,1,6,1,29,1,28,2,6,1,29,1,6,3,29,1,6,2,8,1,7,1,13,1,8,1,10,1,8,1,10,1,17,2,13,1,28,30,30,3,28,1,30,3,29,1,28,1,29,1,28,1,30,1,6,2,30,2,28,31,30,2,8,2,7,1,10,1,13,1,8,1,9,1,12,1,9,1,12,1,11,1,9,1,17,1,10,1,9,1,24,1,9,4,8,1,29,1,13,1,8,1,11,3,17,1,9,1,11,1,16,1,11,2,16,2,11,1,16,3,17,1,16,3,9,1,11,2,16,1,9,3,11,1,9,1,16,1,11,3,13,1,11,1,9,1,11,2,9,2,16,1,8,1,9,9,11,1,9,5,13,1,11,2,9,2,11,1,10,1,16,1,11,2,9,7,8,1,11,1,9,1,11,1,8,1,9,1,8,1,11,1,9,1,11,1,16,1,9,1,11,3,10,1,9,1,8,1,9,4,13,1,9,1,13,1,11,2,9,2,11,2,9,1,11,1,9,3,8,1,9,3,11,1,9,3,8,1,9,2,8,1,9,2,8,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,6,1,13,2,7,1,8,1,13,1,8,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,13,1,10,1,13,1,10,1,9,3,8,1,9,1,10,1,9,4,11,1,9,1,8,1,9,6,8,1,9,1,13,1,8,1,9,1,11,2,17,1,9,1,11,1,10,1,9,1,8,1,10,1,9,3,11,1,9,3,10,1,9,1,8,1,9,1,13,1,9,3,13,1,9,3,13,1,9,1,13,2,9,1,13,4,9,1,13,2,33,51,5,363,33,1,28,3,13,1,7,1,9,1,10,1,9,1,12,2,10,2,12,1,10,1,9,1,8,2,13,1,8,2,7,1,13,2,9,1,7,2,13,3,7,1,8,2,9,1,24,2,12,1,17,1,10,1,9,1,8,1,9,1,10,1,29,1,13,1,8,1,13,2,24,1,9,1,8,1,30,1,13,1,6,1,28,1,13,1,29,1,28,1,30,2,29,1,28,1,29,1,28,1,30,2,28,1,6,1,28,2,7,1,28,1,30,2,7,1,30,1,6,1,13,1,6,1,7,2,13,1,6,1,13,1,7,1,13,1,29,1,13,2,30,2,6,2,29,2,7,1,30,2,6,1,30,1,6,4,30,1,13,1,7,1,8,1,7,1,8,1,13,2,9,8,10,1,9,2,11,2,9,1,11,1,10,1,11,2,12,1,17,5,16,1,17,2,16,1,17,2,16,1,17,1,16,4,11,1,16,1,17,1,11,1,16,1,17,1,11,1,16,1,17,1,9,1,8,1,13,1,7,1,6,1,29,1,13,1,28,1,6,1,30,2,6,1,29,1,6,5,7,1,13,1,9,1,6,2,13,6,9,4,16,3,17,2,16,1,17,6,8,1,13,1,6,1,13,4,6,1,13,1,30,1,9,1,13,1,9,1,16,3,17,3,16,3,9,1,6,4,13,1,6,2,28,1,30,1,13,1,11,1,9,1,11,1,16,1,17,4,6,1,13,2,7,2,6,1,7,2,6,1,7,1,8,1,13,1,8,1,24,1,13,2,8,1,24,1,13,2,8,1,13,1,8,1,13,1,8,1,29,1,13,1,8,1,6,2,7,1,13,1,7,1,13,1,8,1,6,1,8,1,13,2,9,1,8,1,13,1,24,1,8,2,11,1,9,1,8,1,9,2,13,1,9,3,12,1,10,1,17,1,9,1,8,1,10,1,11,1,8,1,12,1,9,2,10,2,8,1,9,1,11,1,13,1,10,1,17,1,9,2,12,1,10,1,11,1,17,1,8,1,9,1,12,1,9,1,11,1,16,1,8,1,17,1,11,1,9,1,11,1,10,1,12,3,9,1,10,1,12,1,17,1,16,1,10,1,16,1,11,1,10,1,12,1,11,1,17,3,11,1,17,1,11,1,17,1,11,1,12,2,16,1,9,1,17,2,11,2,17,1,10,1,11,1,17,2,12,1,17,2,10,1,12,2,16,1,17,1,10,1,8,1,17,2,9,1,17,1,10,1,9,1,11,1,12,1,9,1,16,1,9,1,10,1,12,1,9,1,11,1,10,1,11,1,9,1,12,1,17,1,12,1,17,1,12,1,9,2,12,1,24,1,10,2,9,1,8,1,13,1,6,2,8,1,6,1,13,1,8,1,7,1,6,1,13,2,6,1,7,1,13,2,8,2,13,1,8,1,6,1,13,2,8,1,13,1,7,1,24,1,8,2,24,1,13,1,8,2,13,4,7,1,9,1,13,1,9,2,8,4,9,2,8,1,11,1,9,1,11,1,10,1,9,1,11,1,16,1,9,1,10,1,11,1,10,1,11,1,16,1,9,1,17,1,9,1,11,1,9,1,16,1,10,2,11,3,16,2,17,3,16,4,11,3,16,1,11,1,9,2,16,1,11,4,9,1,11,1,9,2,11,2,9,1,16,2,11,4,16,1,11,1,16,2,11,1,16,1,11,1,16,2,9,1,11,1,10,1,11,2,16,1,11,4,13,1,30,1,6,1,30,1,6,2,7,1,30,1,13,1,29,1,6,1,7,2,6,1,28,1,30,1,28,6,33,11,13,5,6,2,7,1,28,1,6,2,30,2,13,1,7,1,6,1,7,1,6,3,7,1,13,2,7,2,6,1,13,1,7,2,30,1,6,1,30,2,6,2,28,1,30,2,7,1,6,1,13,2,6,1,13,6,8,1,9,1,10,2,9,3,17,3,11,1,17,1,11,5,12,1,10,1,12,1,11,5,10,1,12,1,11,1,17,1,10,1,11,1,12,1,17,1,11,2,17,6,12,1,17,24,16,1,17,1,16,1,12,2,17,1,11,1,17,2,11,1,17,1,11,1,17,10,16,2,17,5,16,1,17,2,16,1,17,4,11,1,17,2,10,1,17,1,12,2,11,1,10,2,11,4,9,1,13,1,17,1,11,1,17,3,9,1,12,2,11,1,17,1,12,1,11,1,17,1,9,1,10,1,17,3,10,1,12,1,8,1,9,1,17,1,24,2,17,1,9,1,10,1,8,1,9,1,17,1,12,1,24,1,12,1,24,1,9,2,13,1,17,1,24,1,13,1,7,1,10,1,11,1,8,1,12,2,11,1,17,5,12,1,17,1,12,1,17,1,9,1,17,2,10,1,11,1,17,1,9,1,12,2,9,1,12,1,17,2,10,1,17,19,16,1,17,28,16,1,17,6,16,1,17,1,16,1,17,1,16,1,17,3,16,2,17,1,16,1,17,2,11,1,17,1,11,1,16,1,17,2,11,3,17,1,11,2,17,1,11,5,9,1,5,2,33,1,28,1,5,9,28,12,6,1,17,2,10,1,9,2,8,1,6,2,30,2,6,2,13,2,16,2,11,1,6,1,28,5,6,1,16,1,10,1,13,1,28,1,30,2,28,27,8,1,17,1,10,1,9,1,13,1,7,1,6,1,17,1,24,1,8,2,13,1,28,3,30,1,}, {13,1,24,1,8,1,17,1,24,1,6,1,13,1,29,1,8,1,14,2,13,1,28,13,30,1,28,3,30,2,28,3,30,1,28,5,30,1,28,5,30,1,28,1,30,2,6,1,13,1,9,1,8,2,10,1,15,1,14,1,13,1,6,2,29,1,30,1,29,1,13,1,10,1,7,1,6,1,13,3,24,1,6,1,8,1,13,2,6,1,13,1,17,1,10,1,29,1,6,1,28,1,29,2,24,1,17,2,12,1,17,1,9,2,8,1,13,1,24,1,13,1,17,2,12,2,9,1,11,1,9,1,17,1,14,1,9,1,29,1,28,3,30,1,28,7,30,2,28,1,30,1,28,4,29,1,28,2,6,1,29,1,6,1,24,5,11,1,24,1,30,3,28,1,6,1,28,1,13,1,9,1,12,1,17,3,9,1,10,1,9,1,24,1,9,1,13,1,8,1,13,1,8,2,12,1,17,2,13,1,7,1,30,1,6,1,30,1,13,1,7,1,30,1,28,3,30,1,29,2,30,1,7,1,10,1,17,2,11,4,9,1,11,1,9,6,11,1,13,1,9,2,11,3,9,1,11,1,9,5,11,1,10,1,24,1,7,1,6,1,29,1,13,1,8,1,6,1,25,1,29,1,6,1,26,1,8,1,30,1,29,2,30,1,28,9,30,3,28,7,30,2,29,2,28,1,6,1,29,1,6,1,7,1,30,1,6,1,8,1,6,2,7,1,13,1,8,1,7,1,8,1,7,1,8,1,9,1,24,2,9,1,11,2,17,1,12,1,17,5,10,1,13,2,30,2,29,1,28,2,30,2,28,10,30,1,13,1,7,1,29,1,6,2,28,2,30,1,28,1,29,1,30,2,28,1,7,1,29,6,28,2,29,1,6,1,29,3,28,17,29,1,28,1,30,1,28,4,6,1,28,2,29,1,28,42,30,1,28,8,30,1,28,3,7,1,30,2,7,1,6,1,29,1,30,1,6,1,29,2,30,2,6,1,29,1,28,2,29,1,28,18,30,1,28,41,30,2,6,3,25,1,24,1,25,1,8,1,24,1,6,1,24,1,8,2,7,1,24,1,6,1,8,2,6,1,12,1,6,1,8,2,13,1,29,1,6,1,13,1,30,1,7,1,6,1,30,1,27,1,29,1,30,1,6,1,7,1,30,1,13,1,6,2,30,1,6,2,30,1,8,2,6,1,7,1,6,1,13,1,24,1,13,1,8,1,13,1,24,1,8,1,9,1,17,1,10,1,17,1,9,1,8,1,17,1,10,1,17,1,12,1,17,1,11,1,12,1,9,1,12,1,9,1,8,1,17,3,11,1,9,1,10,1,24,1,8,2,24,2,7,1,28,1,24,2,30,1,29,2,7,1,28,1,30,1,28,1,30,1,28,51,30,1,29,1,28,2,29,1,6,2,7,1,29,1,13,1,7,1,30,1,13,1,6,1,13,1,30,1,25,1,6,1,26,1,30,1,29,1,6,1,28,1,29,2,7,1,30,1,6,1,29,1,7,1,6,2,13,1,29,1,7,1,13,1,8,3,9,1,17,2,29,1,28,6,30,1,28,16,30,1,28,5,30,2,29,2,6,1,29,2,30,1,7,1,28,1,6,1,28,1,30,1,29,1,28,32,30,1,28,1,6,1,29,1,30,1,24,1,8,2,9,3,24,1,17,2,10,1,12,1,24,1,17,1,24,2,13,1,9,3,13,2,6,1,9,1,16,1,9,1,16,1,10,1,11,2,9,1,16,1,11,1,16,1,11,1,16,1,17,1,11,1,16,1,11,1,10,1,16,1,11,3,9,1,11,1,9,2,11,3,9,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,9,2,11,3,9,1,16,1,11,1,9,2,13,1,9,3,11,1,9,5,8,1,9,1,11,1,9,2,16,2,11,1,9,2,10,1,9,4,13,1,11,1,13,1,9,4,11,3,9,1,11,3,16,2,11,1,9,2,11,1,8,1,9,1,13,2,11,1,8,1,9,2,11,1,9,2,11,2,9,3,13,1,9,1,10,1,11,1,9,1,13,1,9,1,8,1,13,1,8,1,9,2,13,2,9,2,8,1,9,1,13,1,8,1,9,3,8,1,9,2,8,1,9,1,13,4,9,1,13,2,9,1,13,1,9,2,13,1,9,3,8,1,9,1,8,1,9,1,8,1,9,1,16,1,9,2,13,1,9,2,8,1,9,2,8,1,9,2,8,1,9,4,8,1,13,1,11,4,9,1,11,1,8,1,9,4,11,1,9,1,11,1,9,1,8,1,9,1,13,1,8,1,13,1,11,1,9,1,13,2,9,2,13,2,8,3,13,1,9,1,13,1,9,1,13,2,9,1,13,1,28,1,33,52,5,363,13,1,28,1,30,1,6,1,13,1,9,3,10,1,12,1,10,2,9,1,10,1,12,1,8,2,13,3,8,1,13,1,6,1,13,3,6,1,13,2,9,1,8,2,9,1,13,1,6,1,9,1,13,4,8,1,9,1,13,2,12,1,24,1,9,1,6,3,13,1,30,1,28,1,30,1,6,1,28,1,30,1,29,1,6,1,30,1,28,2,30,1,29,1,28,1,13,1,30,3,29,1,28,1,7,1,6,1,29,1,13,3,6,1,13,2,29,1,13,3,6,2,7,1,13,1,7,1,29,1,6,1,13,1,29,1,6,3,29,1,30,1,6,3,13,2,7,1,13,8,8,1,13,1,9,1,8,1,9,1,13,1,17,1,11,1,12,1,9,1,11,1,10,1,12,1,9,1,10,2,11,1,10,2,16,1,11,1,16,2,17,1,16,1,17,5,11,1,16,2,17,5,16,1,17,1,11,1,17,2,16,1,8,1,13,1,7,1,13,1,6,1,29,1,30,1,29,1,28,2,6,1,30,1,29,1,6,2,13,2,9,1,13,1,9,1,6,2,13,8,9,1,13,1,9,1,11,1,16,1,17,1,16,1,17,8,9,1,6,1,30,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,2,11,1,16,2,17,4,16,3,13,1,6,1,13,2,28,1,6,1,13,1,6,1,30,1,6,1,13,2,9,2,17,1,16,1,17,3,13,2,9,1,7,1,29,1,13,1,6,2,7,1,6,1,9,1,8,4,24,1,8,1,13,1,9,1,8,3,13,2,8,2,6,1,13,2,7,1,6,2,13,1,6,2,8,1,13,1,8,3,13,1,9,1,8,2,9,5,12,2,13,1,8,2,9,3,10,1,9,1,13,1,11,2,10,1,12,1,8,1,11,1,9,2,8,1,12,1,9,1,10,1,8,1,11,1,9,3,17,1,11,1,9,1,17,1,11,1,9,1,11,1,9,1,16,1,11,4,9,1,12,1,11,1,12,1,11,3,17,2,9,1,16,1,11,1,17,2,9,1,17,1,9,1,17,1,9,1,17,2,11,2,16,1,11,1,12,1,10,1,16,1,11,1,12,2,11,1,12,1,17,3,10,1,11,1,12,1,10,3,12,1,17,1,9,1,16,1,10,1,12,1,9,1,12,1,9,1,8,1,17,1,11,2,8,1,17,1,12,1,17,1,8,1,9,1,17,1,8,1,9,1,17,1,12,2,10,1,9,1,8,1,6,1,24,1,7,3,6,1,7,2,6,1,7,1,29,1,7,1,6,3,8,1,29,1,24,1,7,1,13,2,6,1,9,1,6,1,8,1,13,1,8,1,7,2,8,2,13,1,8,1,13,1,8,3,13,1,24,2,9,1,24,1,7,1,13,1,8,2,10,1,9,2,7,1,9,1,8,1,11,1,9,1,11,1,16,1,9,1,11,4,9,1,11,4,16,1,9,1,16,1,11,1,9,1,11,3,9,2,11,1,16,3,17,1,11,1,16,2,11,1,16,1,11,2,9,2,16,3,9,1,16,1,11,3,16,1,9,1,11,1,10,1,11,3,16,1,10,1,11,2,16,2,11,3,16,3,11,1,16,1,17,1,16,3,11,1,9,1,11,1,16,1,11,4,9,1,29,1,28,1,6,2,7,1,6,1,13,1,29,1,13,1,30,1,6,2,30,2,28,5,13,1,33,12,6,1,13,1,8,2,6,1,13,1,30,1,29,1,30,2,28,1,30,1,6,1,30,1,6,2,13,1,30,1,6,1,7,1,6,1,8,1,13,1,6,2,7,1,6,2,13,1,30,1,6,1,28,2,30,1,28,2,30,2,6,1,7,1,6,1,13,2,6,1,13,1,6,2,13,1,9,1,10,1,9,6,11,1,17,1,11,1,17,1,11,1,9,1,17,1,11,1,17,1,9,1,11,1,17,1,11,4,17,1,10,1,12,2,11,2,12,1,11,1,12,1,10,1,12,1,11,1,17,3,11,1,12,1,17,2,11,2,17,3,11,1,17,4,16,1,17,18,16,1,17,3,11,1,17,1,11,1,16,1,17,6,12,1,17,4,11,1,17,11,12,1,17,1,11,1,17,3,9,1,12,1,11,3,17,1,9,1,12,1,11,2,13,1,9,2,17,3,11,1,17,1,10,1,11,1,17,1,9,1,17,1,12,3,8,1,12,1,10,2,17,1,10,1,17,2,10,2,9,1,8,1,12,1,9,1,8,1,12,2,10,1,9,2,17,1,9,1,11,1,8,1,17,1,9,1,10,1,9,2,8,1,17,3,9,1,12,3,11,2,9,1,17,2,11,1,12,1,16,1,9,1,17,1,11,1,9,1,10,1,11,2,10,1,11,1,17,1,12,1,10,1,17,51,16,1,17,4,11,1,17,1,16,1,17,2,16,1,17,3,16,1,17,1,16,1,17,2,11,1,17,2,11,1,17,3,11,2,17,2,11,5,5,1,33,3,5,9,28,12,7,1,17,3,9,2,13,2,30,1,6,2,7,1,6,1,7,1,9,1,17,1,10,1,17,1,6,1,28,6,11,1,17,1,24,1,6,1,30,1,28,28,13,1,14,1,9,2,8,1,13,1,6,1,17,1,8,1,10,1,9,1,29,1,28,4,}, {8,1,12,1,10,2,24,1,7,1,8,1,6,1,13,1,15,1,10,1,13,1,28,15,30,1,28,6,30,1,28,4,30,1,28,7,30,1,29,1,28,1,6,1,8,1,24,1,8,1,24,1,9,1,14,2,13,1,28,1,30,1,29,1,30,1,28,1,13,1,17,1,13,1,8,3,13,1,8,1,30,1,8,1,24,1,6,1,7,1,13,1,9,1,24,1,13,1,30,1,28,1,29,1,30,1,24,1,12,1,17,2,10,1,11,1,24,1,8,1,24,1,13,2,17,1,16,1,10,1,9,3,17,1,11,1,14,1,8,1,29,1,28,12,30,2,29,1,28,3,30,1,28,1,30,1,28,1,30,1,29,1,8,1,13,1,10,1,8,1,9,1,24,1,12,1,8,1,29,1,13,1,28,2,30,2,6,1,17,1,12,1,9,1,16,1,8,1,12,1,8,2,24,1,8,2,7,1,13,2,8,1,17,2,12,1,9,1,29,1,6,2,30,1,13,1,6,1,13,1,30,1,28,3,13,2,30,1,6,1,11,1,17,1,12,1,11,2,9,1,16,1,11,1,9,6,13,1,11,1,8,2,11,1,9,2,16,1,9,1,10,1,11,1,9,1,11,2,9,1,13,3,7,1,8,1,30,1,6,2,25,1,6,1,26,1,8,1,25,1,6,1,13,1,29,1,6,1,30,1,28,4,30,1,28,1,29,1,6,1,8,1,24,3,8,1,10,1,24,1,29,2,28,1,6,1,28,1,6,3,30,1,6,3,7,1,6,2,29,1,6,2,29,1,8,1,6,1,13,1,8,3,9,3,10,1,9,1,10,1,11,1,17,1,12,1,17,5,11,1,7,1,6,1,29,1,30,1,28,1,30,1,29,1,28,1,29,1,28,1,30,1,28,5,30,1,28,1,29,2,28,1,29,1,30,1,28,3,30,1,28,2,30,2,6,1,29,1,28,1,29,1,28,2,30,1,6,1,28,1,30,1,6,1,28,1,6,1,28,18,30,1,28,4,30,1,28,1,29,1,28,45,30,1,28,9,29,1,28,2,29,3,28,1,29,2,6,1,29,1,28,7,29,1,30,1,28,1,30,1,28,11,29,1,30,3,28,47,29,2,27,1,25,1,24,1,8,1,13,1,8,1,7,1,8,2,13,2,6,1,8,2,7,1,8,1,6,1,8,1,7,1,13,1,6,1,13,1,7,1,6,3,7,1,6,1,29,1,6,2,7,1,6,1,29,1,6,1,7,1,8,1,30,2,13,1,8,1,7,1,6,1,7,1,24,1,8,1,13,1,7,1,9,1,7,1,24,1,12,1,10,1,24,2,17,1,24,1,12,1,11,1,9,1,17,1,12,1,9,1,10,1,8,1,12,1,17,1,8,1,9,1,17,3,10,1,24,3,8,1,24,1,7,1,9,1,13,1,9,1,8,2,6,2,13,1,28,1,29,2,28,53,13,1,30,1,28,1,6,2,7,1,13,1,30,1,8,1,6,1,13,1,7,1,13,1,6,1,13,1,8,1,7,1,25,1,28,1,29,1,30,3,29,4,30,1,13,1,30,1,6,1,30,1,13,2,8,1,24,2,13,1,12,1,8,1,12,1,9,1,28,6,30,2,28,5,30,1,28,17,29,2,28,1,30,3,6,1,30,1,29,2,6,1,29,1,6,1,29,1,28,1,30,1,28,27,30,1,28,1,29,1,28,1,7,1,6,1,7,1,24,1,8,1,13,1,24,1,12,2,10,1,12,1,8,1,12,2,11,1,24,2,17,1,8,1,9,1,10,1,13,2,6,1,8,1,9,1,11,8,16,2,11,1,9,1,11,4,16,3,11,5,9,1,11,2,9,1,11,1,9,1,10,1,9,3,11,2,9,2,11,1,13,1,9,1,11,2,9,3,11,1,9,1,11,1,13,1,9,10,11,1,9,1,16,1,9,1,10,1,16,1,9,1,8,1,13,1,9,4,13,1,9,1,13,1,9,2,11,2,9,1,16,1,9,3,11,1,16,1,9,2,11,1,9,1,10,2,13,1,11,1,9,2,11,1,9,3,11,3,9,1,11,1,9,1,11,2,9,2,13,1,9,1,13,1,8,1,9,1,8,1,9,1,11,1,9,3,8,1,9,1,11,1,13,1,9,5,13,1,9,1,13,3,9,1,8,1,9,3,13,1,11,1,9,1,13,1,9,1,8,1,9,2,13,1,11,1,13,1,8,1,13,1,9,4,13,1,9,1,12,1,13,1,11,1,9,1,8,1,11,4,9,2,8,1,10,1,9,1,8,1,9,3,11,1,9,1,11,2,9,4,11,2,9,2,13,2,9,2,13,1,9,1,13,1,11,1,8,1,9,1,8,1,9,2,8,2,9,1,13,1,9,1,13,3,8,1,7,2,13,2,28,1,6,1,33,51,5,364,13,1,6,2,28,1,8,1,11,1,12,1,10,2,11,1,12,1,9,1,10,1,13,1,8,1,9,1,13,1,7,1,13,1,29,1,7,3,13,2,8,1,24,1,9,1,24,1,12,1,24,1,6,2,13,1,6,1,7,1,13,1,7,1,13,2,8,2,12,1,24,1,7,1,6,2,13,1,6,2,8,1,13,1,7,2,30,1,6,1,7,1,6,2,30,1,29,1,28,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,28,1,29,1,13,1,6,1,7,1,13,1,6,1,13,7,9,1,6,2,13,1,30,1,13,2,6,1,13,1,7,1,6,1,29,1,30,1,13,1,30,1,7,1,6,2,13,1,29,1,13,6,8,1,9,4,8,1,9,1,13,5,30,1,7,1,13,1,7,1,13,3,7,1,9,1,8,2,9,1,11,2,17,1,9,1,17,1,16,1,17,6,16,1,11,1,17,1,16,1,17,1,16,1,17,1,11,2,8,1,9,1,13,1,6,1,29,1,6,2,28,1,29,1,30,1,28,1,6,1,30,1,29,1,7,1,6,1,30,1,13,1,29,1,13,2,6,1,13,2,8,1,13,1,6,1,13,3,9,1,11,1,8,1,13,1,9,1,16,2,17,9,16,1,9,1,13,2,6,1,13,1,6,1,13,2,6,1,13,3,9,1,16,3,17,5,16,2,13,1,30,2,28,1,6,1,13,3,6,1,13,1,9,1,13,1,11,1,16,2,11,1,17,2,16,1,9,1,10,1,9,1,7,1,13,1,9,1,13,3,10,1,24,1,13,1,8,1,9,1,8,1,13,1,10,1,24,1,13,1,24,1,6,1,8,1,13,1,8,3,6,1,24,1,13,1,8,1,13,2,6,1,8,1,7,1,8,1,13,1,7,1,13,1,24,1,9,2,13,1,8,1,13,1,10,1,8,1,9,1,11,1,9,1,13,1,9,2,12,1,17,1,9,4,8,1,9,1,11,1,8,1,17,1,13,1,9,2,12,1,24,1,11,1,8,1,9,1,12,1,17,1,10,3,9,1,17,1,8,1,12,1,11,1,17,1,10,1,11,1,12,1,17,1,16,1,9,1,17,2,9,1,17,1,10,1,9,1,16,1,11,1,16,1,9,1,11,2,17,1,11,1,17,2,11,1,17,3,9,1,17,1,11,1,16,3,17,1,9,1,17,1,12,1,9,2,12,1,10,1,9,1,17,1,11,1,9,1,17,3,9,1,12,3,11,1,9,1,16,1,10,2,9,1,17,3,10,1,9,2,11,1,9,2,11,2,8,1,12,1,11,1,24,1,8,1,24,1,8,3,6,1,7,2,13,4,7,1,29,1,8,1,13,3,6,2,13,1,8,1,7,1,8,1,7,1,8,2,13,2,8,1,13,1,6,1,13,1,8,1,7,1,8,2,13,1,8,3,24,1,8,1,13,4,8,1,13,1,8,1,13,1,9,1,13,1,9,3,8,1,13,1,9,2,11,1,10,2,9,2,11,1,9,3,16,1,11,1,9,1,11,1,10,2,11,2,10,1,11,1,9,2,16,2,17,1,16,2,9,1,16,1,11,1,16,1,11,1,16,1,11,6,16,1,11,4,9,1,16,1,9,4,11,1,9,1,11,2,16,2,11,1,16,2,11,1,16,1,11,1,17,1,11,1,17,1,9,1,11,1,16,1,11,2,16,1,11,4,10,1,9,1,30,1,28,1,6,1,29,1,6,1,30,1,6,2,13,2,9,1,13,1,7,1,30,2,28,2,5,13,33,2,13,1,9,1,13,1,30,1,13,1,7,1,30,2,28,2,30,2,6,1,30,1,6,2,29,1,6,3,13,1,6,1,13,1,6,1,13,3,29,1,13,1,6,1,7,1,28,4,30,1,28,2,30,2,6,1,7,3,13,2,8,3,9,4,8,1,11,3,17,1,11,1,12,1,10,1,11,1,10,1,11,1,17,1,11,1,12,1,11,1,17,1,11,1,17,2,11,1,12,1,17,2,11,1,12,1,11,2,17,1,12,2,17,3,11,1,12,2,11,1,9,1,10,1,9,1,12,1,17,16,16,1,17,2,11,1,17,5,16,1,17,6,16,2,17,1,12,1,17,2,11,1,17,2,12,1,17,7,11,1,17,1,16,1,17,3,11,1,17,4,11,2,17,2,11,1,17,2,12,2,11,3,17,1,10,1,11,2,12,2,10,2,12,1,11,1,17,1,11,1,12,2,24,1,17,1,11,1,10,1,12,2,9,1,17,1,9,3,12,1,9,1,10,1,12,1,9,1,11,1,24,1,8,1,9,1,12,1,8,1,9,1,8,1,24,1,10,1,9,1,8,1,9,1,24,1,9,1,10,1,11,1,10,1,17,4,12,1,11,1,17,1,11,1,12,2,11,1,17,1,9,2,17,1,12,1,11,1,12,1,11,1,17,1,11,3,17,1,10,1,17,14,11,1,17,35,16,1,17,8,16,1,17,4,11,1,16,1,17,9,11,1,17,2,11,2,17,1,11,4,9,1,33,2,5,10,13,1,28,12,13,1,16,1,17,1,10,2,8,1,24,1,6,1,7,1,6,1,29,2,13,1,6,1,8,1,17,1,12,1,17,1,13,1,28,5,7,1,12,1,17,1,7,1,29,1,28,29,16,1,17,1,10,1,13,1,8,1,29,1,8,1,17,1,9,2,8,1,7,1,28,4,}, {13,1,24,1,17,1,9,1,10,1,6,2,28,1,13,1,10,1,12,1,29,1,28,13,30,1,28,5,30,1,28,17,30,1,6,1,13,1,8,1,12,1,7,1,17,1,14,2,13,1,28,4,30,1,7,1,17,1,9,1,24,1,6,1,13,1,24,1,8,1,13,1,8,1,7,1,13,1,6,1,13,1,9,2,13,1,29,1,6,2,30,1,24,1,12,1,17,1,16,1,12,1,9,2,13,1,8,1,6,1,24,1,10,1,12,1,8,1,9,2,11,1,12,1,10,1,14,1,13,1,30,1,28,3,30,1,28,13,30,1,28,1,6,1,28,1,6,1,30,1,28,1,13,1,8,1,9,1,24,1,9,1,10,1,9,1,13,1,29,2,30,1,28,1,30,1,28,1,13,1,12,1,17,1,12,1,13,1,24,1,9,1,13,1,7,2,13,1,8,1,13,1,8,1,13,2,9,1,17,2,9,1,30,2,6,3,30,1,28,5,6,1,13,1,6,1,28,1,17,4,11,1,16,1,11,2,9,7,16,1,11,1,9,1,11,2,16,1,17,1,16,1,11,3,9,1,13,2,29,1,6,2,28,1,7,1,29,1,6,1,29,2,27,1,6,1,8,2,6,1,13,1,7,1,29,1,30,1,7,1,8,1,13,3,6,1,13,1,8,1,13,4,8,1,7,1,8,5,30,1,7,1,6,1,13,1,6,4,29,1,6,4,29,1,7,2,6,1,7,2,13,1,10,1,24,3,9,3,17,1,12,2,17,5,12,1,9,1,29,3,6,1,29,1,28,1,30,1,6,1,30,1,28,7,29,1,30,1,28,1,30,1,29,1,28,3,30,1,29,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,7,1,28,1,30,1,28,1,29,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,15,30,2,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,43,30,1,28,6,30,1,28,1,30,1,28,1,29,1,28,2,6,1,29,1,30,2,6,1,29,3,30,1,29,1,28,2,6,1,28,65,30,3,28,1,30,2,7,1,6,1,8,1,6,1,13,1,24,1,7,1,6,1,8,1,7,1,13,1,7,1,6,1,13,1,8,2,6,1,24,1,8,1,6,2,30,1,6,2,29,1,7,1,25,3,6,1,29,1,6,3,29,1,28,1,29,1,13,1,7,1,8,1,29,2,6,1,13,1,6,1,8,3,24,1,8,1,9,2,12,1,17,1,12,5,9,1,17,1,10,1,24,1,9,2,10,2,12,2,24,1,12,1,24,1,10,1,24,2,10,1,8,1,13,1,8,1,24,1,6,6,30,2,28,53,6,1,30,1,28,1,6,1,28,1,29,3,24,1,13,1,9,1,7,1,8,1,6,1,8,1,6,1,25,1,6,1,26,1,30,1,25,1,29,1,28,1,7,1,6,1,28,2,6,2,29,1,6,1,29,1,7,3,24,1,13,1,10,1,9,1,10,1,17,1,10,1,29,1,28,1,29,1,28,22,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,3,7,1,28,1,30,1,6,1,28,1,29,1,28,1,6,1,28,32,6,4,24,2,8,2,24,3,12,2,8,1,17,1,12,1,10,1,11,1,24,1,12,1,24,1,8,1,9,1,13,1,7,1,6,1,10,1,16,2,11,1,16,1,9,1,11,1,17,1,11,3,16,1,11,7,16,4,11,2,9,1,17,1,11,1,16,1,11,1,9,2,11,1,9,2,11,2,9,1,11,1,9,1,11,1,9,2,11,1,9,3,10,1,9,1,11,1,9,1,16,1,9,2,11,1,9,1,8,1,9,5,11,1,9,1,11,2,9,1,11,1,9,8,13,4,8,1,11,1,9,1,8,1,9,2,10,1,9,3,8,1,9,2,13,2,9,1,10,1,11,3,9,2,16,2,9,1,16,1,9,1,11,1,9,5,8,2,9,2,11,1,8,1,9,1,11,1,9,3,11,1,9,2,11,1,9,4,13,1,9,2,13,1,9,1,8,2,9,1,8,3,9,1,11,1,13,1,9,3,11,1,9,2,11,1,9,2,11,1,9,1,10,2,9,1,8,1,9,1,8,1,9,1,11,1,9,1,8,1,11,1,8,1,9,2,11,1,9,7,11,1,9,1,10,1,9,2,11,1,9,1,11,1,9,3,10,1,13,1,10,1,13,1,9,3,10,1,8,1,9,1,13,2,9,3,8,1,9,2,13,1,9,3,13,2,9,1,13,1,6,1,13,3,33,52,5,365,9,1,6,2,8,1,11,1,12,1,11,1,12,1,8,1,9,1,12,1,10,1,13,1,8,1,24,1,8,1,13,1,7,2,13,1,8,1,11,2,9,1,8,1,24,1,9,1,8,1,29,1,8,2,13,1,6,1,13,1,7,2,29,1,6,1,7,1,10,1,8,1,13,1,6,1,7,1,6,1,13,1,30,1,13,1,29,1,13,1,6,2,30,1,13,2,29,2,30,1,6,1,29,1,6,1,7,1,6,1,13,1,6,1,28,1,7,1,29,1,13,1,8,1,7,1,13,1,7,1,13,1,6,1,7,1,8,1,7,1,8,1,13,2,6,1,13,1,6,1,13,2,6,2,9,1,7,1,13,3,30,1,6,2,13,1,7,1,6,1,7,1,13,1,8,1,13,1,9,1,8,3,9,1,6,1,13,2,30,2,28,3,29,3,30,1,28,1,6,1,7,1,6,2,29,1,13,2,6,1,13,1,8,1,13,3,9,1,8,1,9,4,16,1,17,2,11,1,17,2,16,1,17,1,16,1,17,3,10,1,11,1,8,1,9,1,6,2,30,1,28,1,6,1,30,2,29,4,30,1,13,1,7,1,13,3,30,2,13,2,9,1,13,2,9,1,13,2,8,1,9,1,16,1,9,2,16,2,17,2,16,1,17,6,16,1,11,1,13,5,6,1,13,7,11,1,16,3,17,4,16,2,11,1,13,1,30,1,6,2,30,1,6,2,13,5,11,1,16,1,17,3,16,1,17,1,9,1,10,1,9,2,8,1,13,1,8,1,13,1,9,1,24,1,9,1,8,1,10,1,24,1,9,1,8,1,9,1,8,3,24,1,13,1,8,1,24,2,8,1,13,3,7,1,24,1,8,1,13,1,8,1,9,1,13,1,24,1,13,1,9,1,13,1,24,2,10,1,8,1,9,1,8,1,13,1,10,2,11,1,12,1,9,1,10,2,24,1,8,2,12,1,11,1,10,1,9,1,8,1,9,1,8,1,10,1,13,1,11,1,9,2,8,1,17,1,10,1,12,1,10,2,9,1,11,2,9,1,11,1,9,1,12,1,11,1,10,1,17,1,9,1,17,1,11,1,12,3,9,1,12,1,16,1,17,2,10,1,17,1,11,1,9,1,17,1,16,1,17,1,10,1,17,2,16,1,11,1,8,1,12,1,16,2,12,3,10,1,12,1,9,1,12,1,10,1,12,2,10,1,17,2,11,1,12,1,11,1,17,2,11,2,16,2,11,1,10,1,16,1,9,1,8,1,9,1,8,1,17,3,11,1,12,1,9,2,10,1,9,1,10,1,8,1,24,2,13,1,8,1,7,1,13,1,6,4,29,1,7,1,13,1,7,3,6,1,13,1,29,1,6,1,13,4,6,1,8,1,6,1,13,1,24,1,6,1,13,1,6,1,13,1,8,1,7,1,6,2,13,1,6,1,13,2,7,1,13,1,8,1,13,2,8,1,13,1,8,1,9,2,30,1,9,1,13,1,8,2,9,3,11,1,8,2,9,3,11,1,16,1,10,1,9,4,11,1,16,1,11,1,16,1,11,3,9,1,16,7,11,2,16,1,11,4,16,1,10,1,16,1,11,1,9,1,16,1,9,1,11,2,9,1,16,1,9,4,17,1,9,1,11,1,9,1,11,1,16,2,11,1,16,1,11,2,16,1,11,1,16,2,11,1,16,2,9,1,11,3,16,1,11,3,17,1,16,1,8,1,30,1,28,2,6,2,13,1,10,1,11,1,5,2,11,2,5,16,33,2,5,1,6,1,13,1,6,1,30,1,13,1,7,1,6,1,30,2,28,3,30,1,6,3,13,1,7,1,6,2,30,1,6,1,13,3,30,1,7,1,13,2,6,1,30,2,6,1,30,2,28,3,30,1,28,1,6,3,7,1,8,1,9,4,8,1,9,1,13,1,9,1,8,1,9,1,11,4,10,1,17,1,12,1,9,1,11,1,17,1,11,3,17,1,10,1,12,1,11,2,17,1,10,1,17,1,12,1,11,2,10,1,11,1,12,1,11,2,12,1,11,1,12,1,11,1,9,1,8,1,10,1,9,1,11,3,17,23,16,1,17,6,16,1,17,7,12,1,17,2,11,1,17,2,16,1,17,1,16,3,17,6,12,1,17,1,11,1,17,2,11,2,17,3,11,1,17,1,11,1,17,1,11,2,17,1,11,1,17,1,11,1,17,1,10,1,17,2,9,1,10,1,9,2,12,2,17,1,11,1,9,1,12,1,17,1,12,1,17,1,9,2,12,1,9,1,12,2,9,2,11,1,10,1,12,1,11,1,12,1,13,1,10,1,9,1,24,1,11,1,8,1,11,1,9,1,12,1,9,1,10,1,17,1,11,1,12,1,17,1,9,1,12,1,17,1,12,1,11,2,17,2,9,1,11,3,12,1,17,1,11,1,12,1,10,1,12,1,17,1,11,1,9,1,17,1,11,1,12,1,17,20,16,1,17,32,16,2,17,1,11,1,17,5,11,1,16,2,17,1,11,1,17,1,11,1,17,2,12,1,17,1,11,1,16,2,17,1,11,2,12,1,11,2,10,1,9,1,13,2,5,11,28,2,30,1,28,10,8,1,17,1,16,2,9,3,24,1,6,1,30,1,29,2,6,2,8,1,12,1,17,1,9,1,30,1,28,5,13,1,17,2,9,1,28,1,7,1,6,1,28,27,11,1,14,1,10,1,29,1,8,1,6,2,11,1,10,1,11,1,9,1,7,1,30,2,28,2,}, {13,1,9,1,11,1,17,1,8,1,29,1,13,1,28,1,6,1,9,1,15,1,6,1,30,1,28,18,7,1,28,4,29,1,28,8,30,4,28,1,6,1,29,1,7,1,9,1,13,1,24,1,14,1,12,1,8,1,28,2,29,2,28,1,13,1,9,1,10,1,8,1,13,1,8,1,13,2,8,1,9,1,8,1,13,1,6,2,12,1,24,1,7,1,29,1,7,2,28,1,13,1,17,1,9,1,8,1,12,1,9,2,8,1,7,1,13,1,8,1,11,1,12,2,17,2,16,1,9,1,17,1,14,1,13,1,28,4,29,1,28,9,30,1,28,5,6,1,28,2,6,1,7,1,6,1,9,2,10,2,12,1,10,1,8,1,7,1,6,1,29,1,28,1,30,1,28,1,8,1,10,1,17,1,12,1,11,1,9,1,13,2,7,1,13,2,6,1,13,1,6,1,8,2,15,1,17,2,6,2,28,1,29,2,30,2,28,5,6,1,13,1,28,1,6,1,17,4,11,1,16,1,11,1,16,1,9,2,16,1,11,1,16,1,9,1,16,2,9,2,11,1,16,3,9,1,16,1,17,1,8,2,28,1,30,1,6,1,28,1,30,1,29,2,30,1,27,1,30,1,29,1,27,1,8,1,29,1,7,1,13,1,7,1,8,1,7,2,8,2,6,1,13,1,6,1,13,1,7,2,6,2,7,1,13,1,8,1,7,2,13,1,7,1,6,1,13,1,7,1,6,1,8,2,7,1,13,1,8,1,7,1,8,1,7,1,6,1,7,1,6,2,7,1,8,2,7,1,13,1,9,1,24,1,11,1,12,1,9,1,10,1,12,1,10,1,17,1,10,1,12,1,17,6,11,1,7,1,29,1,30,1,29,1,28,2,6,1,28,3,30,2,28,3,29,1,28,1,30,1,29,1,28,2,30,3,28,2,30,1,28,2,30,1,28,2,29,1,28,2,30,1,29,1,28,2,7,1,28,1,6,2,28,16,29,1,28,1,30,1,28,2,6,1,29,1,6,1,28,1,30,1,28,1,30,2,28,48,30,1,28,7,29,1,28,1,30,2,29,2,28,1,29,1,28,1,30,1,28,4,30,1,28,68,13,1,29,3,8,1,6,1,7,1,6,1,13,1,6,1,13,1,8,1,7,1,8,1,7,1,13,1,24,1,8,2,7,1,13,1,8,1,7,1,6,1,29,1,6,1,7,1,6,1,7,1,29,1,28,1,7,1,13,1,6,2,29,1,13,2,6,1,7,1,30,1,6,1,8,1,7,1,6,1,8,1,7,1,8,1,24,1,13,1,24,1,10,1,24,1,12,2,9,1,10,1,9,1,10,1,11,1,12,2,9,2,10,1,8,1,13,1,9,1,17,1,12,2,10,1,9,1,24,2,9,1,10,1,24,2,7,1,13,2,7,1,30,1,29,1,6,1,30,2,28,53,29,1,28,2,6,1,28,1,6,2,13,1,28,1,7,4,13,1,8,2,6,2,29,1,8,1,30,1,29,1,30,1,28,1,30,2,29,1,30,1,6,1,7,1,6,1,28,1,7,1,13,1,7,1,8,1,9,1,24,1,8,1,9,2,12,1,17,1,29,1,28,4,30,1,28,1,30,1,28,15,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,2,6,1,30,1,28,1,29,1,6,1,28,1,30,1,28,30,6,1,30,1,6,1,7,1,13,1,24,2,9,1,12,1,9,2,10,1,11,1,10,1,12,2,9,1,12,2,24,2,9,1,13,1,6,1,8,1,7,1,9,1,10,1,9,1,16,1,9,1,16,2,11,2,16,2,11,1,16,3,11,7,16,3,11,2,16,1,11,1,16,1,11,2,9,2,11,1,9,2,11,1,16,1,11,1,9,1,11,1,9,8,11,1,9,3,10,1,9,3,10,1,9,1,11,1,9,2,10,1,16,1,9,2,16,1,9,3,8,1,9,1,8,1,13,1,9,1,8,1,16,1,10,1,9,1,11,1,9,4,11,1,9,2,11,1,9,1,13,1,8,1,9,1,13,2,9,1,11,1,9,1,11,1,9,4,16,1,10,1,11,1,9,5,13,1,9,2,13,3,9,1,11,1,8,1,9,3,8,1,11,2,9,5,10,1,9,1,13,2,9,2,8,1,9,2,13,1,9,2,13,1,9,3,11,1,9,1,10,1,11,1,8,1,9,1,11,1,9,1,8,2,9,1,11,1,9,1,8,1,9,2,8,3,9,1,13,1,9,1,13,1,8,2,9,6,11,1,9,1,10,1,16,1,9,1,11,2,9,2,11,1,16,2,11,1,10,1,16,1,9,1,11,1,9,1,8,1,11,1,9,1,13,1,9,1,13,1,9,1,8,1,9,5,13,1,9,2,13,1,9,1,13,8,33,51,5,367,9,1,6,1,13,1,11,1,10,1,9,1,12,1,10,1,11,1,10,1,9,1,8,2,6,1,9,1,24,1,9,1,12,1,13,1,10,1,13,1,9,1,8,2,13,1,8,1,13,1,29,1,6,2,13,1,7,1,13,1,6,1,8,1,12,1,13,1,30,1,6,1,13,1,30,1,13,1,29,1,6,1,9,1,13,1,9,1,13,1,6,1,7,1,8,1,13,2,7,1,6,1,13,1,6,2,13,1,6,1,13,1,30,1,29,1,7,1,30,1,29,1,7,1,30,1,13,3,8,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,3,8,1,13,2,6,2,13,1,6,1,13,1,7,1,13,1,7,1,13,2,9,1,13,1,8,1,13,1,30,1,6,1,30,1,28,2,30,2,28,5,30,3,6,2,13,1,6,1,13,2,7,1,13,4,8,2,6,1,8,1,13,1,6,1,8,1,7,1,9,2,11,1,16,1,11,1,17,1,12,1,17,3,16,1,17,1,12,1,17,1,11,3,10,1,11,1,13,3,6,1,29,1,30,2,28,1,30,1,28,1,7,1,30,3,9,1,13,1,30,1,8,1,13,5,6,1,9,1,13,1,8,1,9,2,16,4,17,2,16,1,17,1,16,1,17,5,16,1,9,1,13,1,6,2,13,2,6,2,13,5,9,1,16,1,14,2,17,4,16,2,9,3,13,3,6,1,13,1,6,2,13,1,6,2,13,1,9,1,16,1,14,1,17,2,16,1,11,1,9,2,10,1,8,1,16,1,9,2,10,1,9,1,13,1,8,1,9,2,13,1,11,1,13,1,8,2,10,1,8,1,13,2,24,2,13,4,7,1,8,2,13,2,8,2,9,2,13,1,8,1,13,1,9,2,11,1,9,2,24,2,11,1,9,2,17,1,10,2,24,1,11,1,12,1,8,1,12,1,9,1,10,1,24,1,9,1,10,1,24,1,11,1,13,1,11,1,9,1,11,1,12,1,11,1,9,1,10,2,9,1,11,1,9,2,12,1,16,1,12,1,17,1,16,1,9,1,17,1,16,1,12,1,11,3,17,2,16,1,11,1,16,1,17,2,11,1,16,2,17,1,11,1,12,1,17,1,16,1,17,2,16,3,9,1,17,1,12,1,17,1,8,2,9,1,12,1,10,1,9,1,11,1,10,1,11,1,17,1,11,2,17,1,11,1,12,1,17,1,12,1,11,1,10,1,11,2,16,2,17,1,12,2,17,1,9,1,24,1,10,1,17,1,8,2,10,1,9,1,7,2,24,1,6,2,13,1,29,1,7,1,6,1,13,3,30,1,7,1,6,1,13,1,29,1,13,3,8,1,7,2,30,1,7,1,13,3,6,1,8,1,29,1,30,1,13,1,6,1,29,2,6,1,29,1,6,1,7,1,13,1,7,1,13,1,7,2,6,1,8,1,13,1,24,1,13,2,8,3,9,1,8,1,9,1,13,1,9,1,8,1,16,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,16,1,11,5,16,1,11,2,9,1,11,2,16,4,11,1,16,1,11,1,16,1,11,1,9,2,16,1,9,2,11,1,9,5,10,1,9,1,13,1,11,1,9,1,11,3,9,2,16,1,11,2,16,1,11,4,10,1,11,5,9,1,16,3,11,1,16,1,11,2,16,2,11,1,9,1,8,1,28,2,30,1,6,1,5,25,33,1,13,2,6,1,7,2,6,2,30,2,29,1,13,1,28,2,6,1,28,1,6,1,13,4,29,1,13,1,6,1,13,1,7,1,29,1,8,1,6,1,13,1,30,3,29,1,28,1,13,1,28,6,30,1,6,1,9,1,11,1,10,1,13,1,9,1,17,1,8,1,9,1,8,3,29,1,30,1,13,2,17,2,11,2,12,1,17,2,11,2,17,1,12,3,17,1,11,1,12,1,11,1,17,3,9,1,11,1,10,1,9,1,10,1,12,1,17,1,10,1,11,3,9,1,8,1,9,2,10,1,11,2,17,4,11,1,17,10,16,1,17,11,16,1,17,2,16,1,17,2,11,1,17,2,11,1,17,2,11,1,17,7,16,1,17,6,12,1,17,1,11,1,12,2,11,1,17,2,11,1,12,1,17,4,9,1,11,2,9,1,10,1,9,1,11,2,17,1,10,1,17,1,12,1,10,3,9,1,13,1,9,2,11,2,9,1,12,1,11,1,10,1,12,1,9,1,11,1,12,1,17,1,24,1,10,3,9,1,12,1,24,1,12,1,11,1,13,1,9,2,12,1,11,1,24,1,9,1,12,1,24,1,9,1,12,1,10,2,11,1,17,1,11,1,17,2,11,1,9,1,17,1,10,1,12,1,17,1,8,1,11,1,8,1,11,1,17,2,11,1,17,2,11,1,17,13,12,1,17,2,12,2,17,1,11,1,17,33,16,1,17,1,16,1,17,4,16,1,17,3,11,1,17,3,11,1,17,2,12,1,17,2,11,1,17,3,11,1,17,3,11,1,12,1,11,1,9,1,13,1,33,1,5,11,33,1,28,12,13,1,17,1,9,2,13,1,9,1,11,1,8,1,29,2,6,1,30,1,29,1,6,1,12,2,11,1,12,1,30,1,28,5,13,1,16,1,17,1,6,3,28,28,9,1,14,1,9,1,8,1,13,1,6,1,13,1,12,1,11,1,24,1,13,1,6,1,28,4,}, {8,1,10,1,9,1,8,1,13,1,7,1,6,1,29,1,13,1,10,1,9,1,8,1,28,16,30,1,28,2,29,1,28,14,29,1,30,2,28,1,6,2,8,2,9,1,8,1,15,2,13,1,30,1,29,1,28,1,6,1,28,1,24,1,17,1,12,1,24,1,8,1,13,1,7,1,8,1,9,1,24,1,8,1,13,1,6,1,8,1,12,1,8,1,6,1,7,1,29,1,28,1,7,1,24,1,9,1,17,1,8,1,9,3,24,1,8,1,6,1,13,1,9,1,16,1,9,1,17,2,12,1,10,1,17,1,9,1,8,1,6,1,28,13,30,1,28,6,30,1,29,1,28,1,30,1,6,1,24,1,9,1,10,1,9,1,24,1,17,1,24,1,6,1,28,1,30,2,29,1,30,1,24,1,17,2,11,1,17,1,24,1,13,2,7,1,6,1,13,1,8,1,6,1,13,1,7,1,8,1,15,1,17,1,14,1,29,1,28,1,30,1,29,1,28,1,6,1,28,7,13,1,28,1,6,1,10,1,17,2,16,2,17,1,16,1,11,2,16,4,9,1,16,1,9,1,16,2,11,1,16,1,17,1,9,1,12,2,13,1,6,1,28,1,30,1,28,3,29,1,26,1,30,1,29,1,27,1,29,1,27,1,26,1,25,3,8,3,13,1,24,1,7,1,13,1,30,1,7,2,6,1,7,2,13,1,6,1,8,1,7,2,13,1,8,2,6,1,13,1,6,1,7,1,13,1,8,1,7,2,13,2,8,1,24,1,8,1,7,1,24,4,8,1,13,1,8,1,12,1,9,1,10,2,11,1,24,2,17,1,12,1,11,1,10,2,17,4,12,1,17,2,24,1,30,1,29,1,6,1,29,1,6,3,28,5,30,2,28,1,30,1,28,1,7,1,28,1,30,1,28,2,30,1,28,1,30,1,28,5,29,1,28,3,30,1,28,2,6,3,28,1,29,1,28,1,29,2,28,10,30,1,28,5,30,1,6,1,30,1,7,1,29,1,30,1,6,1,30,1,28,49,29,1,30,1,28,1,7,1,28,2,29,1,28,1,29,1,28,3,29,1,28,2,30,1,28,4,30,1,28,3,30,1,28,66,30,1,28,2,29,2,6,2,7,1,6,3,7,1,13,1,7,1,13,1,7,1,8,1,7,2,8,1,7,4,13,2,6,2,24,1,6,1,8,1,7,1,30,1,8,1,6,3,24,1,6,2,29,2,13,1,7,1,8,2,13,1,10,1,8,1,13,1,24,1,8,1,24,1,10,1,12,1,17,1,9,1,17,3,12,1,10,3,12,1,10,1,12,2,10,1,9,1,17,1,12,1,9,1,12,1,13,1,12,1,13,1,9,1,8,1,7,1,8,1,13,1,7,1,6,2,29,1,30,3,28,57,6,1,29,2,7,1,6,2,29,1,24,1,8,1,25,1,13,1,6,1,30,1,8,1,28,1,6,1,27,1,29,1,6,1,29,1,28,1,6,1,30,1,28,1,29,1,30,2,6,1,8,2,13,1,8,1,24,2,10,1,24,1,12,2,17,1,28,1,30,2,28,1,30,2,28,11,30,1,28,4,6,1,30,1,28,1,30,1,28,1,30,2,28,2,29,1,28,1,29,1,28,1,29,1,6,1,28,1,6,2,30,1,29,1,6,1,30,1,28,1,30,1,28,29,6,1,30,2,13,1,8,1,7,1,8,1,10,1,9,3,12,1,9,2,12,2,9,1,17,1,9,1,13,1,8,1,24,1,13,1,8,1,6,1,8,1,13,1,17,1,11,2,16,1,11,1,16,1,11,2,16,2,9,1,16,2,11,3,10,1,16,2,11,1,16,1,11,2,9,1,16,1,11,2,16,3,9,2,16,1,9,1,10,2,9,1,16,1,9,1,16,1,9,1,10,1,9,3,11,1,9,1,11,4,9,1,11,1,8,1,9,4,8,1,9,1,10,1,9,2,11,2,16,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,9,2,11,1,9,2,11,1,9,4,13,1,9,1,13,1,11,1,9,3,11,1,9,1,11,1,9,4,11,2,9,1,13,2,8,1,13,2,8,1,13,2,8,1,9,1,16,1,13,1,9,2,11,1,9,1,16,1,9,1,8,1,9,2,13,1,9,5,13,1,9,3,13,1,8,3,9,1,11,1,13,1,11,1,9,7,11,1,9,1,13,1,9,1,8,2,9,1,13,1,9,1,13,1,8,1,13,1,8,3,9,1,8,1,9,2,13,1,8,2,9,2,10,1,9,1,11,2,9,1,11,3,9,2,11,3,9,1,11,1,9,1,11,1,16,1,8,1,9,1,11,1,9,1,8,1,9,1,13,1,9,2,13,1,9,4,13,1,9,1,13,1,8,1,9,1,13,1,8,2,13,4,33,53,5,367,13,1,9,1,10,2,9,1,11,2,9,1,24,1,9,1,11,1,12,1,9,1,8,1,7,1,13,1,7,1,8,1,28,1,13,1,8,2,6,1,7,1,6,1,13,1,7,1,28,1,8,1,13,1,6,1,8,1,17,1,10,1,13,1,6,1,8,1,6,2,29,1,7,1,29,1,8,1,7,1,6,1,7,1,6,1,13,1,7,1,8,1,13,1,8,1,7,1,6,1,13,2,6,1,30,1,13,1,6,2,13,2,7,1,13,1,30,1,7,1,13,5,8,2,9,1,8,4,10,1,8,1,13,1,9,2,8,1,13,1,7,1,13,1,29,1,8,1,7,1,8,2,9,2,13,3,6,1,30,2,28,2,30,2,28,1,30,2,28,2,30,1,29,1,7,1,6,1,29,1,6,2,13,1,7,1,29,1,7,1,6,1,13,1,6,1,7,3,8,1,7,1,8,1,13,1,8,1,13,4,8,1,13,1,7,1,9,1,13,1,11,1,9,2,12,1,8,1,9,2,10,1,11,1,9,1,8,1,10,2,9,1,8,1,9,1,7,1,13,1,6,1,30,1,6,1,30,2,13,1,6,1,29,1,13,1,8,1,13,3,9,1,13,2,6,1,13,4,8,1,13,1,16,1,11,1,16,1,17,1,16,1,17,2,16,1,17,2,16,1,17,5,13,4,30,1,6,3,13,1,6,1,13,5,16,1,17,5,16,1,17,1,16,2,9,1,13,2,6,1,13,2,6,2,28,1,6,1,13,1,6,2,9,1,16,1,14,3,9,1,16,1,9,1,11,1,16,1,9,1,17,1,11,2,10,1,9,1,17,2,11,1,9,1,11,1,24,1,9,3,8,2,13,3,8,1,13,1,9,1,8,1,6,1,24,1,10,1,13,2,9,2,8,1,9,1,10,1,8,1,9,1,12,1,10,1,9,1,10,1,8,1,11,2,9,2,17,1,8,1,10,1,11,1,10,1,8,1,10,1,9,1,11,1,9,2,11,2,10,1,12,1,9,1,11,3,16,1,12,2,9,2,12,1,10,1,17,2,16,1,9,1,11,1,13,1,16,3,17,1,11,2,12,2,17,4,16,1,17,8,11,1,17,1,10,1,17,2,16,1,9,1,11,1,17,1,10,2,11,1,12,2,11,1,17,1,12,1,17,1,12,1,10,1,12,1,17,3,12,1,16,1,17,1,16,1,10,1,12,1,10,2,12,2,16,1,9,1,12,1,24,1,17,1,9,1,8,1,17,1,24,2,8,2,7,1,24,1,7,1,6,1,29,1,6,1,29,1,6,1,7,1,29,1,13,1,28,1,6,1,7,1,6,1,13,1,7,1,8,1,6,1,7,5,13,2,29,1,8,1,6,4,29,1,30,1,7,1,6,3,29,1,13,1,29,1,6,1,29,1,6,1,9,1,24,1,8,2,13,1,8,4,9,1,24,1,13,1,10,1,8,1,9,1,10,1,8,1,9,4,11,1,9,1,11,1,9,1,11,1,9,1,11,2,16,1,9,1,11,2,16,1,11,5,16,2,17,1,11,1,16,1,9,2,11,2,9,1,16,1,11,1,9,1,11,1,9,1,11,3,9,3,11,2,10,1,9,4,11,1,9,1,16,1,9,1,10,1,9,2,11,1,9,1,11,1,16,1,11,1,16,4,11,1,16,1,11,3,17,1,16,2,11,1,16,1,11,2,10,1,9,1,30,1,28,1,5,28,30,1,6,1,13,1,6,1,30,1,7,1,6,1,30,3,13,1,7,1,30,1,28,1,13,3,7,1,6,1,7,1,13,1,6,1,13,1,7,2,13,1,7,1,13,1,30,1,6,1,30,2,6,1,29,1,30,1,28,6,6,1,8,1,9,2,8,1,9,1,13,1,7,1,30,1,13,2,9,2,13,1,6,3,10,1,9,1,12,1,17,1,11,1,17,3,11,1,17,1,11,1,12,1,17,1,9,1,11,1,12,1,11,1,17,1,11,2,10,2,9,1,11,1,9,1,10,1,17,2,11,1,9,2,10,2,13,1,8,1,9,2,11,1,12,1,11,1,17,29,12,1,17,6,11,1,17,2,11,1,17,4,16,2,17,1,11,1,17,8,11,3,17,1,11,2,17,3,11,1,10,1,9,1,11,1,10,1,11,1,9,1,11,1,17,1,12,1,9,1,11,2,17,1,9,1,12,2,10,2,17,1,9,1,17,1,9,1,17,1,8,1,12,2,9,1,13,1,10,1,9,1,11,2,12,1,10,1,11,1,10,2,9,1,12,1,9,1,11,1,10,1,9,2,10,1,12,1,9,1,17,2,13,1,24,1,11,1,12,1,10,1,17,5,11,1,17,2,11,1,17,1,11,1,17,3,10,1,17,4,10,1,12,1,11,1,17,26,16,1,17,11,16,1,17,4,16,1,17,7,16,1,17,1,16,1,17,1,11,1,17,1,16,1,17,1,16,1,17,3,12,2,17,1,11,2,12,3,11,2,17,1,11,2,17,1,10,3,11,1,9,2,5,13,28,12,8,1,12,2,8,1,9,1,11,1,9,1,13,1,6,1,29,3,30,1,8,2,16,1,17,1,11,1,29,1,28,5,6,1,17,2,6,1,28,1,13,1,28,1,30,1,28,26,9,1,14,1,8,2,13,1,6,1,9,1,24,1,12,1,24,1,13,1,29,1,28,1,6,1,28,2,}, {6,1,17,1,9,1,12,1,13,2,28,1,7,1,30,1,8,1,24,1,13,1,28,23,30,1,28,2,29,1,28,8,29,2,30,1,6,3,8,1,24,1,10,1,9,1,14,1,13,1,28,1,29,1,28,2,6,1,13,1,15,1,12,1,10,1,13,2,24,1,13,1,8,1,13,1,9,1,6,2,13,1,11,1,15,1,13,1,29,1,6,1,30,1,29,1,8,1,12,2,8,1,13,1,24,1,9,1,8,1,13,1,8,1,9,1,12,1,17,2,9,1,12,1,17,1,9,1,12,1,11,1,13,1,7,1,29,1,28,1,30,1,28,6,30,1,28,2,29,1,28,4,30,2,28,2,30,1,29,1,28,1,6,1,9,1,12,1,24,1,8,1,15,1,12,1,8,1,30,1,6,2,28,1,29,1,28,1,29,1,9,1,12,1,17,1,10,1,9,2,13,2,6,1,13,4,8,1,9,1,10,1,15,1,12,1,13,1,28,1,30,1,6,1,30,1,28,5,30,1,28,1,30,1,29,1,28,1,6,1,12,1,17,4,16,5,11,2,16,1,9,3,16,1,11,1,16,1,17,2,10,1,12,1,6,1,28,3,30,1,28,4,29,3,27,1,30,1,27,1,29,1,27,1,30,1,29,2,7,2,28,1,7,1,29,1,6,1,13,1,6,1,7,1,6,1,13,1,7,2,13,1,7,2,8,2,7,1,6,1,8,1,13,1,8,3,6,1,7,1,13,1,8,1,6,1,13,1,6,1,7,2,29,1,6,1,29,1,6,3,29,1,7,1,29,1,8,1,12,1,9,1,12,2,9,1,10,1,17,1,11,1,12,1,11,1,12,1,17,5,12,1,8,1,29,1,6,1,30,1,7,1,28,1,29,4,28,1,29,1,30,4,29,1,28,1,30,1,28,1,30,1,28,9,30,1,28,3,30,1,28,1,29,1,6,1,28,4,29,1,30,1,28,12,30,2,28,1,29,2,30,1,29,1,6,1,28,1,29,1,7,1,29,1,30,1,28,2,30,1,28,43,30,1,6,1,28,1,30,1,28,4,29,1,28,3,29,1,28,3,29,1,28,55,30,1,28,1,30,1,28,20,29,1,28,1,29,1,28,1,6,1,7,1,29,1,6,2,7,1,6,1,25,1,29,1,7,1,6,2,24,1,13,2,8,2,7,1,13,1,6,1,7,1,13,1,7,1,24,1,6,1,29,1,13,1,6,1,13,1,30,1,6,1,13,1,8,1,6,1,8,2,13,1,6,2,8,1,7,1,6,1,24,1,7,1,24,1,7,1,9,1,8,1,12,1,24,1,10,1,9,1,17,1,9,1,17,1,9,1,17,1,9,2,11,1,13,1,12,1,17,1,10,1,12,2,17,1,9,1,24,1,8,1,24,3,13,3,6,2,7,1,6,1,29,1,30,2,28,51,29,1,28,3,30,1,6,1,28,2,6,2,29,1,7,1,29,1,25,1,24,1,29,1,30,1,6,1,29,1,24,1,25,1,30,1,25,1,29,2,30,2,29,5,13,1,7,1,13,1,6,1,29,1,10,1,7,1,10,1,24,1,10,1,8,1,12,2,10,1,28,2,30,1,28,1,30,1,28,11,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,4,29,2,28,4,30,1,28,2,8,1,29,1,6,1,30,1,28,31,29,1,6,1,29,1,6,1,8,1,7,1,10,1,9,1,24,1,12,1,24,1,9,2,10,1,24,1,10,1,9,1,8,1,24,1,8,1,10,1,9,1,13,1,7,1,8,1,13,1,11,2,16,1,11,2,17,1,11,1,16,2,11,1,16,2,11,1,16,1,11,3,9,1,11,2,16,1,9,1,17,1,11,3,9,1,16,1,11,1,16,1,10,1,16,1,11,2,16,3,9,1,16,1,11,2,16,1,9,4,11,3,9,1,11,2,16,1,11,1,9,1,16,1,9,1,10,2,9,1,11,1,9,2,11,1,13,2,9,1,11,3,9,1,11,1,8,1,11,1,9,2,11,2,9,4,11,1,8,1,10,1,9,5,8,1,9,1,8,1,10,1,9,2,8,1,10,1,16,1,11,1,16,1,11,2,9,1,11,1,9,2,13,1,28,1,9,1,8,2,9,1,13,4,16,1,13,1,11,1,9,2,13,1,11,1,13,2,9,1,13,1,9,1,13,2,9,3,8,2,9,1,8,1,13,1,9,1,8,1,13,1,8,1,9,1,13,2,8,1,9,2,8,1,9,1,10,1,9,1,8,1,16,1,9,5,8,1,9,1,8,1,9,1,13,2,8,2,9,3,8,1,9,4,8,1,9,1,13,1,11,1,9,2,8,1,11,2,9,1,11,1,10,1,11,1,13,1,16,1,9,1,11,2,9,1,11,1,9,2,11,1,9,6,8,1,9,2,13,1,9,6,13,1,8,1,13,2,8,1,9,1,13,5,33,51,5,368,13,1,8,4,10,1,24,1,10,1,11,1,8,1,24,1,13,1,8,1,13,1,7,1,13,1,7,1,6,1,8,1,13,1,7,1,13,2,6,1,30,1,6,3,13,1,17,1,8,1,9,1,7,1,6,2,30,2,29,1,13,1,8,2,13,1,7,1,6,2,7,1,13,2,8,1,13,1,7,1,6,2,7,1,13,2,29,1,7,1,6,2,13,1,6,4,7,1,13,9,9,1,13,1,9,1,13,1,9,3,13,1,8,1,13,1,9,1,8,1,9,3,10,1,8,1,6,3,30,1,28,12,30,3,6,1,29,2,6,2,29,1,13,1,6,1,8,1,29,1,7,1,13,3,8,1,9,1,13,1,8,1,13,1,8,1,13,1,7,1,13,2,8,1,13,1,30,1,29,1,13,1,9,1,13,7,7,1,8,1,13,1,9,2,8,1,10,1,9,2,10,1,8,1,13,1,6,2,30,1,6,2,13,1,8,1,28,1,13,3,6,1,13,4,6,1,13,2,9,1,11,1,16,3,17,13,11,1,9,1,13,3,6,1,30,1,13,1,6,4,13,4,17,2,16,1,17,5,16,3,11,2,13,4,6,4,30,1,13,1,9,2,16,1,9,1,16,3,11,1,13,1,6,1,13,1,6,1,13,3,9,2,11,2,16,1,17,2,9,5,8,1,24,1,9,1,13,4,9,1,8,1,9,2,13,1,9,1,24,1,13,1,11,2,9,1,7,1,11,2,9,1,11,1,17,1,9,1,10,1,12,1,10,2,9,3,17,1,8,1,12,1,9,1,10,1,9,1,10,1,9,1,11,1,9,1,12,1,9,1,8,2,11,1,16,2,17,1,11,2,10,1,9,1,12,1,17,2,9,1,16,3,11,1,17,1,16,1,17,2,11,1,17,3,16,1,12,1,17,5,16,1,17,1,16,1,17,1,11,1,12,1,17,2,11,1,16,1,12,2,11,1,17,1,10,1,9,1,17,1,11,1,12,1,11,2,12,1,11,2,17,1,11,2,17,3,10,1,9,1,16,1,12,1,17,1,8,1,9,1,11,1,12,2,10,1,9,1,24,3,13,1,7,1,24,1,8,1,7,1,30,1,7,2,6,1,7,3,30,1,8,1,7,1,6,2,7,1,30,1,8,1,6,2,7,1,13,2,29,1,13,1,7,1,6,1,13,1,6,3,7,2,6,1,29,1,7,1,6,2,13,1,30,1,7,1,13,1,7,1,8,2,30,1,13,1,24,1,13,1,8,1,9,1,13,1,9,1,13,3,9,1,8,2,13,1,9,1,8,1,9,1,10,1,9,1,11,1,9,1,10,1,11,1,9,2,11,2,9,1,10,1,11,2,9,3,11,3,16,3,17,1,10,1,11,1,16,1,10,1,11,1,9,1,11,2,10,1,16,1,11,1,9,2,8,1,9,2,11,1,9,1,11,1,9,3,10,1,8,1,9,1,10,1,8,1,9,2,11,1,9,5,11,1,10,1,16,1,11,1,16,1,9,1,11,2,16,2,11,2,16,5,11,2,17,2,13,1,5,28,13,1,30,1,13,1,30,2,6,2,28,1,13,1,29,1,6,1,13,1,7,1,6,2,13,1,6,1,13,2,6,4,7,1,13,1,7,1,30,1,13,1,7,1,6,2,28,3,30,1,28,6,7,1,9,1,8,2,9,1,8,1,6,1,13,1,7,1,13,1,8,1,13,1,8,2,13,1,29,1,13,1,7,1,9,2,11,2,17,1,10,1,17,1,11,2,17,1,11,1,17,1,12,2,10,2,9,1,11,1,10,1,8,1,11,1,12,1,17,1,12,1,10,1,11,3,10,1,9,1,8,1,9,2,13,1,9,1,8,1,10,2,11,1,12,1,17,27,16,1,17,3,11,1,17,5,16,1,17,5,16,2,17,5,11,1,12,1,11,1,12,1,11,2,12,1,11,3,17,3,10,1,17,1,10,1,12,1,10,1,17,2,12,1,9,1,11,1,17,1,12,1,9,1,17,1,9,1,10,1,12,1,11,1,17,1,12,1,9,2,17,1,12,1,10,1,12,2,9,1,10,1,12,1,9,1,17,1,9,1,10,1,12,1,24,1,12,1,17,1,9,1,12,1,9,1,12,1,10,1,9,1,8,1,17,1,10,1,9,1,11,1,24,2,12,1,24,1,12,2,9,1,17,2,12,1,17,2,11,1,17,1,11,1,12,1,17,4,11,1,17,23,12,1,17,8,16,1,17,30,16,2,17,1,16,1,17,3,12,3,17,1,11,1,17,1,11,2,17,1,11,1,17,3,12,1,17,1,11,2,10,1,11,2,5,13,33,1,28,12,9,1,12,1,10,1,8,1,24,1,17,1,10,1,13,1,29,1,30,1,29,1,30,1,29,1,8,1,9,2,12,1,11,1,30,1,28,5,13,1,17,1,12,1,6,1,30,1,29,1,28,28,8,1,17,1,9,1,8,1,30,1,28,1,24,1,10,2,9,1,13,1,8,1,28,3,30,1,}, {24,1,12,1,11,1,12,1,8,1,6,1,13,3,9,1,11,1,8,1,28,25,30,1,28,8,29,1,6,1,30,1,28,1,6,2,13,1,10,1,8,1,24,1,12,1,14,1,8,1,29,2,30,1,29,1,30,1,13,1,15,1,12,1,7,2,6,3,8,2,10,1,24,1,13,2,11,1,12,1,29,1,30,1,29,1,30,1,29,1,13,1,11,1,12,1,10,1,9,1,8,1,9,1,24,2,7,1,13,1,9,1,17,1,12,1,11,1,24,1,12,1,17,1,9,2,15,1,30,3,28,4,30,1,28,7,30,1,28,3,30,1,28,1,6,2,30,1,6,1,7,1,24,3,10,1,9,1,17,1,10,1,30,1,28,1,29,2,30,1,29,1,13,1,10,1,17,1,12,1,16,1,24,1,9,1,13,1,7,1,8,1,7,1,8,1,13,1,7,1,8,2,10,1,14,1,12,1,7,1,29,1,28,1,29,1,28,3,30,1,28,1,30,1,28,2,29,1,28,2,29,1,11,1,17,3,16,4,17,1,16,2,9,1,17,1,9,1,16,3,11,1,16,3,9,1,24,1,30,1,28,2,29,1,28,3,30,1,29,1,30,1,27,1,28,1,27,2,30,1,29,3,6,1,28,1,6,1,30,1,6,1,28,1,30,1,6,1,29,2,6,2,7,1,6,2,13,1,7,1,8,1,13,2,6,1,8,1,13,1,7,1,8,1,7,2,13,1,8,2,29,1,8,1,29,1,6,1,30,1,28,8,30,1,28,1,30,1,28,1,13,1,17,1,12,4,17,1,10,1,11,1,12,1,17,1,12,1,17,3,9,1,13,2,6,1,29,2,6,1,30,2,6,2,28,1,6,1,28,1,30,1,28,2,29,1,28,1,30,1,28,3,30,2,28,1,30,1,28,6,30,1,28,2,30,1,6,2,30,2,28,1,6,1,28,1,30,3,28,1,30,1,28,10,6,1,28,1,6,1,7,2,6,1,29,1,6,2,28,1,30,1,28,45,30,1,28,10,29,2,28,5,30,1,28,13,30,1,28,31,30,1,28,3,30,1,29,1,28,1,6,1,13,2,28,22,29,2,30,1,6,4,7,1,13,1,29,1,6,1,25,2,6,1,7,1,10,1,7,1,8,1,24,1,6,1,7,2,13,1,7,2,6,1,13,2,29,1,8,1,29,2,6,1,29,1,8,1,6,1,24,1,6,1,13,1,7,2,8,1,6,1,7,1,8,1,6,1,8,1,13,2,24,2,9,1,8,1,12,6,24,1,17,1,10,1,12,1,9,1,8,1,12,2,17,1,12,1,8,1,12,3,9,1,12,1,10,2,8,2,6,2,13,1,30,2,6,1,28,1,30,1,28,52,29,1,28,4,30,1,6,2,13,1,7,1,13,1,8,1,6,1,8,1,25,1,6,1,25,1,30,1,6,1,30,1,6,1,27,1,6,1,30,1,29,2,8,1,28,1,30,1,29,1,28,1,6,1,30,1,13,1,6,1,7,1,24,1,13,1,8,1,24,3,12,1,10,1,8,1,28,2,30,1,28,1,6,1,28,4,30,1,28,4,29,1,28,7,29,1,28,3,29,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,28,1,6,3,13,1,29,1,7,1,29,1,6,1,29,1,28,30,6,2,29,1,13,1,7,1,8,1,24,1,10,1,24,1,10,1,9,1,11,1,24,1,11,1,24,1,12,1,9,1,12,1,24,1,9,2,13,2,7,1,13,1,29,1,9,1,17,1,11,3,16,4,17,1,11,2,17,1,16,2,11,1,16,1,9,1,11,1,16,2,11,2,16,2,11,1,16,4,11,2,16,1,9,2,11,1,16,1,8,1,11,1,16,1,11,3,9,1,11,1,9,2,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,16,1,11,1,16,1,11,4,9,3,11,1,9,3,13,1,9,4,10,1,9,2,13,1,9,1,13,2,10,1,11,1,8,1,9,1,11,1,9,1,10,1,9,2,11,1,9,2,11,3,10,1,9,1,16,1,6,1,9,1,13,6,9,1,13,2,9,1,13,1,9,2,13,1,10,1,13,4,8,1,6,1,9,1,10,1,9,2,13,1,9,1,13,1,9,1,13,2,9,1,6,1,13,1,8,1,13,1,9,4,13,1,11,1,8,2,13,1,9,5,11,1,13,1,11,1,7,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,9,4,11,1,9,1,10,2,9,2,11,1,9,2,11,1,16,1,9,2,11,1,9,1,11,1,9,2,11,1,9,3,13,1,9,1,10,1,9,1,8,1,9,10,8,1,9,1,13,5,33,52,5,367,6,3,10,1,12,2,10,1,11,1,12,1,8,1,10,1,8,2,9,1,13,1,7,1,13,1,29,1,8,1,13,3,24,1,6,1,13,1,6,3,17,1,6,1,8,1,7,1,6,2,30,2,28,1,29,1,7,3,13,1,6,1,30,1,6,1,7,2,8,1,13,2,6,1,13,1,29,1,7,1,29,1,13,1,30,1,7,1,29,1,6,1,7,1,8,1,6,1,13,1,6,1,13,1,7,1,13,2,8,1,13,1,29,1,9,1,8,1,13,1,8,1,7,1,12,1,8,2,9,2,8,1,11,1,9,1,11,1,9,2,10,1,9,1,13,1,30,1,28,12,30,2,28,1,30,3,6,2,28,1,6,1,29,1,30,1,6,1,7,1,6,3,7,4,30,1,13,1,8,1,7,1,13,7,6,1,13,1,8,1,6,1,13,1,7,1,13,1,8,1,13,1,7,1,13,3,9,1,8,1,13,5,8,1,13,1,9,1,8,1,9,2,6,1,8,1,13,2,8,1,13,1,8,1,13,6,6,1,13,4,9,1,16,2,9,1,11,1,17,2,16,2,17,2,16,1,17,7,16,1,13,1,6,1,13,4,6,1,13,3,6,2,13,2,9,1,17,8,16,2,11,1,16,2,9,2,13,3,6,1,30,1,6,1,13,3,8,1,13,1,9,2,16,1,13,1,9,1,16,1,9,2,13,1,7,1,28,1,13,1,28,1,30,1,7,1,9,1,11,2,9,4,11,1,9,1,8,1,11,1,8,3,13,1,9,1,8,1,9,1,8,2,7,1,13,1,8,1,9,2,13,1,16,1,8,1,10,1,12,1,10,1,9,1,10,1,9,1,17,1,9,1,10,1,11,3,9,1,17,1,10,1,12,1,11,1,10,1,11,1,9,1,12,1,9,1,17,2,9,2,17,1,10,1,9,1,12,1,11,2,12,2,11,1,9,2,16,1,10,1,17,1,11,1,17,1,11,2,17,1,11,1,17,1,12,1,17,3,11,1,17,1,11,1,17,2,9,1,17,2,16,1,17,2,12,1,17,1,16,1,11,1,17,1,11,1,12,1,11,1,12,2,17,1,12,1,17,3,13,1,17,4,9,1,17,2,9,1,10,1,11,1,10,1,12,1,8,1,9,2,11,1,24,1,10,1,9,1,24,2,8,1,24,2,13,1,7,2,6,1,29,1,7,1,29,1,6,1,29,1,6,2,30,1,7,1,29,1,7,1,6,2,29,1,6,5,8,1,6,1,13,1,7,3,13,1,6,3,7,1,30,1,13,1,6,1,29,1,6,1,7,3,6,1,29,1,13,2,8,1,24,1,13,2,8,1,24,1,7,1,8,1,13,3,10,1,13,2,8,2,9,2,8,1,9,1,8,1,11,1,9,2,11,3,9,3,11,1,9,1,11,1,10,1,11,1,9,1,11,3,17,1,11,1,16,1,11,3,16,1,10,1,11,2,16,1,9,1,16,1,9,1,11,1,9,4,11,1,10,1,8,2,11,1,13,1,8,3,11,1,9,2,11,1,8,1,11,2,9,2,10,1,9,1,11,1,16,1,11,1,10,1,11,1,16,1,11,2,16,1,9,1,16,2,11,2,16,3,9,1,17,2,16,1,5,29,28,2,13,1,30,1,6,1,13,2,7,1,13,2,6,1,13,1,7,1,6,1,7,1,30,2,7,1,30,1,13,1,29,1,30,1,7,1,6,1,7,1,30,1,7,1,30,1,7,1,28,11,9,5,13,2,9,1,13,1,7,1,13,1,8,1,9,2,11,1,8,1,13,1,8,1,13,2,9,1,8,1,17,2,11,2,17,2,11,1,12,2,11,1,12,1,17,1,11,1,9,1,17,1,12,1,11,1,17,1,9,1,10,1,9,1,17,1,10,1,9,1,10,1,9,5,10,1,9,1,8,1,9,2,10,1,11,2,12,1,17,1,11,1,17,19,16,1,17,8,11,1,17,1,11,1,17,3,11,1,16,1,17,1,16,1,17,6,9,1,17,2,11,1,12,1,17,1,10,1,11,2,17,7,12,1,11,1,12,2,11,1,17,2,11,1,10,1,17,2,11,1,17,1,9,1,11,1,12,1,11,1,9,1,17,1,10,1,9,2,17,1,11,2,24,1,9,1,17,1,11,1,10,2,13,1,11,1,9,1,24,1,17,1,9,2,12,1,13,1,24,1,12,1,9,1,10,1,8,1,24,1,10,1,11,1,8,1,10,1,24,1,11,1,17,1,9,1,10,1,12,1,17,4,11,3,12,1,17,2,11,1,17,1,9,1,17,4,9,1,17,1,11,1,17,30,16,2,17,9,16,1,17,3,12,1,17,1,12,1,17,3,11,1,17,2,11,1,17,1,16,1,17,2,12,1,17,3,12,2,11,2,12,1,11,6,12,1,17,1,11,2,9,1,11,2,5,14,33,1,28,12,9,1,12,1,17,1,8,2,11,1,10,1,24,1,6,1,29,1,30,1,6,2,8,2,16,1,17,1,11,1,7,1,28,5,13,1,17,1,24,1,28,2,30,2,28,27,11,1,16,1,9,1,13,1,6,1,28,1,13,1,17,1,9,2,13,1,7,1,28,4,}, {13,1,10,1,24,1,11,1,9,1,13,2,6,1,7,1,8,1,14,1,8,1,28,17,30,1,28,19,29,1,6,1,30,1,8,2,24,2,15,1,12,1,24,1,29,2,6,1,29,1,28,1,6,1,9,1,10,1,13,1,29,1,13,1,24,1,13,2,8,1,10,1,13,3,16,1,12,1,13,1,6,3,28,1,7,1,10,1,11,1,9,1,12,2,9,1,8,1,24,1,7,1,8,1,12,1,17,1,15,1,12,2,9,2,10,1,15,1,9,1,28,1,30,2,28,1,6,1,30,1,28,4,30,1,28,1,30,2,28,3,29,1,28,1,30,1,28,3,29,1,28,1,7,1,8,1,9,1,8,1,9,2,17,1,13,1,29,1,6,1,29,1,6,1,28,1,6,1,13,1,8,1,17,3,9,3,13,4,8,1,13,1,8,3,10,1,15,1,13,1,6,1,30,1,6,1,28,4,30,1,28,6,29,1,17,4,16,3,11,1,9,1,11,1,16,3,11,2,16,1,11,1,16,2,17,1,9,1,13,1,29,1,28,7,30,1,29,1,30,1,28,1,30,2,29,4,28,1,30,2,28,1,29,1,28,2,6,1,28,2,30,1,6,1,30,2,29,1,6,1,7,1,29,1,27,1,25,1,7,1,6,1,7,1,13,1,7,1,13,1,7,1,8,1,6,1,30,1,8,1,13,1,8,1,7,2,6,1,29,2,30,1,29,1,28,8,30,1,13,1,24,1,17,2,9,1,12,2,9,1,17,2,12,1,17,4,12,1,13,1,6,4,29,3,6,1,28,1,29,1,28,1,29,2,28,1,29,1,28,3,30,1,28,4,30,1,28,2,30,1,28,2,30,1,28,3,29,1,28,2,30,1,28,1,30,3,28,9,30,1,28,1,30,1,28,1,6,1,30,1,7,1,29,1,7,1,29,1,7,2,6,4,30,2,29,1,28,12,30,1,28,25,30,1,28,4,30,1,28,5,30,1,28,1,30,1,28,4,30,1,28,49,30,1,28,1,29,2,28,1,7,1,29,1,7,1,13,1,6,1,8,1,6,1,28,20,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,6,2,29,1,13,1,7,1,29,1,25,1,28,1,8,2,25,2,7,2,13,1,7,1,13,1,8,1,7,1,13,1,7,1,6,1,7,1,6,2,7,1,8,1,13,2,6,1,13,1,8,1,13,2,8,3,13,1,8,1,7,1,24,1,8,2,9,2,12,3,8,1,12,1,9,1,12,1,17,1,12,1,9,1,11,1,17,1,24,1,10,1,11,1,12,1,24,1,12,1,17,1,9,1,17,1,9,3,24,2,29,1,7,2,30,1,29,3,28,54,6,1,28,4,30,1,6,1,29,1,6,1,29,1,6,1,24,1,7,2,8,1,7,1,8,1,29,1,6,1,29,1,7,1,29,1,6,1,29,1,30,1,28,1,29,1,28,1,6,2,30,1,6,1,28,1,7,1,6,1,13,1,8,3,24,1,9,1,8,1,17,2,24,1,30,1,28,4,30,1,28,4,30,1,28,6,30,1,28,2,30,1,29,1,28,3,29,1,28,1,30,1,28,1,30,2,28,3,30,2,6,1,30,1,28,1,29,1,6,1,28,1,29,1,28,30,30,1,6,1,28,1,29,1,7,1,24,1,8,1,24,3,12,1,8,1,12,1,9,1,12,1,9,3,8,1,13,1,12,1,10,1,24,1,8,1,13,3,11,1,16,1,11,3,16,1,11,3,16,1,10,1,16,3,9,1,11,2,10,1,11,2,16,3,11,1,9,1,11,2,16,2,11,2,9,1,11,1,9,1,16,1,11,5,16,1,9,1,16,1,11,1,16,1,9,3,11,3,9,1,11,2,9,1,11,1,8,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,13,1,11,1,16,1,10,1,16,1,9,1,11,1,8,1,11,1,9,1,10,1,11,1,8,1,11,1,13,1,9,1,10,1,9,1,11,1,13,1,9,1,11,1,9,3,13,1,9,1,13,1,9,1,11,1,9,1,11,1,10,1,9,2,16,1,11,2,9,1,11,1,9,2,11,1,6,1,9,1,7,1,13,1,8,1,13,1,8,2,9,1,13,1,9,1,10,1,13,1,9,2,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,13,2,8,2,9,1,11,1,13,1,8,3,13,1,9,7,8,1,13,3,9,2,13,1,9,2,13,1,9,1,13,2,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,9,3,10,1,9,1,8,1,11,1,16,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,13,1,9,1,11,1,9,1,11,1,9,3,11,1,9,2,13,2,8,1,9,1,11,1,13,2,9,3,13,8,6,1,33,51,5,367,13,1,6,2,28,1,6,1,8,1,9,1,8,1,9,1,12,1,24,2,9,1,13,1,9,1,8,1,13,2,7,1,13,1,7,1,6,2,24,1,8,1,29,1,12,1,9,1,6,1,7,1,6,3,30,1,28,3,6,1,7,1,8,1,6,1,30,1,6,1,13,2,8,1,13,2,8,1,6,1,13,1,6,1,7,1,13,3,6,1,13,1,6,1,29,1,7,1,13,3,7,1,6,1,13,1,6,2,13,1,6,1,13,1,8,1,6,1,13,2,8,1,9,1,8,1,9,1,13,1,11,2,10,1,9,1,8,1,9,1,8,2,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,3,29,1,28,1,30,1,28,1,6,1,29,1,6,1,30,1,29,1,6,1,29,1,6,1,13,1,29,1,6,1,29,1,7,1,6,2,13,1,7,1,6,1,13,2,7,1,8,2,13,1,24,1,7,1,8,1,7,1,8,1,13,1,7,1,13,1,8,1,13,4,7,1,13,1,7,1,13,3,9,1,13,4,8,1,9,1,8,2,9,1,8,1,13,1,9,1,8,2,9,2,13,4,6,1,13,6,9,2,16,2,9,1,16,1,17,1,16,2,17,9,16,3,13,1,30,1,6,4,30,2,13,2,6,1,13,3,9,1,16,1,17,11,16,2,9,3,13,2,6,1,30,1,6,1,30,1,6,2,13,1,9,1,16,2,11,1,16,1,11,1,16,2,9,1,11,1,13,1,6,1,13,1,6,1,13,2,9,1,11,1,9,2,10,1,16,1,9,3,11,2,9,3,10,1,9,1,10,1,8,1,9,3,17,1,9,1,17,1,10,1,9,2,13,1,9,1,11,1,9,2,11,2,9,1,11,1,10,3,11,1,17,1,8,1,9,1,11,3,9,1,11,3,16,1,11,1,16,1,17,1,16,1,17,1,16,1,11,2,9,1,17,1,11,1,16,1,11,1,17,2,16,4,17,2,16,1,17,1,16,1,17,1,16,1,17,1,12,1,17,3,12,1,17,1,16,1,17,2,16,1,11,1,17,1,16,1,12,1,10,1,17,2,11,1,10,1,17,1,10,3,9,1,24,1,12,2,10,1,9,1,16,1,17,2,10,1,12,1,9,1,11,1,17,1,9,1,10,2,12,2,8,1,9,1,24,2,12,1,8,1,24,2,6,1,7,1,30,1,6,1,29,2,6,1,29,2,30,1,29,1,6,3,13,1,6,1,13,1,7,1,6,1,7,3,29,1,6,2,8,1,30,1,6,2,8,1,7,1,6,3,7,1,6,1,7,1,29,1,7,1,6,1,29,1,6,3,7,1,13,2,24,1,7,1,24,1,13,3,7,1,13,1,24,1,6,1,24,1,9,1,13,1,9,1,13,1,8,2,9,1,11,1,9,2,11,1,9,2,10,1,8,1,11,1,9,3,11,1,10,1,9,1,11,1,9,1,11,1,16,1,11,1,17,1,16,3,11,2,16,1,9,1,11,2,9,2,16,1,9,2,10,1,13,1,8,1,9,2,8,1,9,1,8,1,9,1,13,1,9,9,8,1,10,2,9,1,11,2,9,2,11,1,16,2,11,1,16,1,11,4,16,2,11,2,16,1,11,1,16,1,17,3,16,1,5,27,13,1,28,2,29,1,6,3,7,1,13,1,7,1,13,1,6,1,13,1,7,1,30,2,28,2,6,4,29,1,30,1,6,1,7,1,30,1,28,1,30,1,28,5,6,3,28,2,13,1,9,3,8,1,13,1,7,1,13,4,9,1,13,2,8,2,10,1,13,5,8,1,9,2,11,1,17,2,10,1,12,1,11,2,12,2,10,2,11,1,9,1,10,1,17,1,11,1,10,2,11,2,10,1,11,2,8,1,9,1,10,1,9,7,8,2,9,2,11,2,10,1,12,1,17,23,11,1,10,1,17,4,11,1,16,1,11,1,17,2,16,1,17,10,12,1,17,1,12,2,9,1,11,1,17,2,11,1,10,1,11,2,17,5,11,1,10,1,17,2,12,2,17,3,11,1,12,1,9,1,10,1,12,1,9,1,17,1,12,1,10,1,12,1,9,1,12,1,24,1,12,1,10,1,9,1,10,2,17,1,12,2,9,2,8,2,10,1,9,2,12,1,17,1,10,1,12,1,9,1,10,1,24,1,10,1,9,1,10,1,9,1,17,1,11,1,12,1,17,4,11,1,17,1,12,1,17,1,12,1,17,1,12,1,17,6,11,1,17,1,12,1,17,1,11,5,17,1,11,1,17,14,16,1,17,6,16,2,17,8,11,1,17,7,12,1,17,2,16,1,17,3,11,1,17,4,12,1,17,1,11,1,12,1,11,2,12,1,11,4,9,2,11,1,10,1,11,2,9,1,8,1,13,1,11,1,5,16,13,1,28,12,9,1,16,1,17,1,24,1,10,1,9,1,24,2,6,1,28,1,13,2,29,1,7,1,8,1,12,1,17,2,30,1,28,4,30,1,13,1,17,1,9,1,6,1,30,1,6,1,28,28,9,2,13,1,6,1,8,1,28,1,13,1,12,1,24,1,9,1,8,1,13,1,28,2,30,2,}, {8,1,12,1,17,1,9,1,11,1,8,1,7,1,8,1,13,1,8,1,10,1,8,1,30,1,28,19,30,1,28,13,30,1,29,2,28,1,8,1,13,1,24,1,8,1,24,1,9,1,12,1,14,1,15,1,28,1,29,1,28,1,30,1,29,1,6,1,9,2,8,1,6,1,29,2,13,1,8,1,6,1,24,1,8,1,6,1,7,1,17,1,10,1,13,1,28,1,29,2,28,1,8,1,16,1,11,1,17,2,9,1,24,1,9,1,8,2,13,1,10,1,12,2,10,1,12,2,10,1,12,1,15,1,8,1,6,1,28,5,30,1,28,2,30,1,29,2,28,2,30,3,6,1,28,1,30,1,29,1,28,1,29,1,30,1,29,1,6,1,13,1,8,2,13,1,15,2,9,1,6,1,30,2,13,1,6,1,29,1,13,1,17,4,9,2,24,1,8,1,9,1,10,1,13,1,24,1,7,1,13,1,8,1,9,1,15,1,14,1,13,1,6,1,28,3,30,1,28,8,6,2,12,2,11,1,16,1,17,1,11,1,10,1,11,2,16,2,17,1,16,2,11,1,16,1,17,1,16,1,17,1,10,1,7,1,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,3,27,1,28,3,29,2,28,2,30,1,29,1,28,9,30,1,28,1,6,1,30,1,26,1,29,1,30,1,6,1,7,1,29,1,6,2,8,2,13,1,6,1,7,1,8,1,13,2,8,1,13,1,6,1,29,1,6,1,28,1,29,1,28,6,30,1,28,2,30,1,8,1,9,1,17,1,10,1,9,1,17,1,12,2,17,6,9,1,13,1,29,1,28,1,13,1,29,1,13,1,7,1,6,2,30,2,28,2,30,2,29,1,28,9,29,1,28,6,29,1,28,8,30,1,28,8,30,1,28,2,29,1,30,1,29,1,13,1,29,1,7,1,6,2,29,1,6,1,29,1,6,3,30,1,28,5,6,1,28,5,30,1,28,27,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,48,30,1,6,1,30,1,28,1,13,1,29,2,6,1,7,1,8,1,13,2,8,2,24,1,13,1,28,25,29,1,28,1,6,1,28,2,6,3,29,1,7,1,29,1,6,1,25,1,24,1,25,1,24,2,8,1,7,1,24,1,29,1,8,2,29,1,13,1,24,1,13,2,7,1,6,1,7,1,8,1,7,1,13,1,7,1,8,2,6,1,13,1,8,1,7,1,8,1,7,1,6,1,10,1,8,1,7,1,13,1,9,1,10,1,12,1,24,1,10,1,17,1,10,1,12,2,10,1,17,1,9,3,8,1,10,1,12,2,9,1,17,1,10,1,17,1,8,1,9,1,24,2,8,1,6,4,29,1,28,56,6,1,28,1,30,1,28,3,7,1,6,2,13,1,7,1,8,1,6,2,13,1,8,1,7,1,8,1,6,1,25,1,6,2,29,2,30,1,7,1,29,1,28,1,13,1,29,1,30,1,6,1,29,1,13,1,6,1,7,1,13,1,8,2,24,2,9,1,12,1,17,1,8,1,29,1,28,1,30,2,28,2,30,1,28,10,30,2,28,1,30,2,28,1,30,2,28,2,7,1,28,2,6,1,28,1,29,1,28,3,6,1,28,1,6,1,29,1,28,1,6,1,29,1,28,28,29,1,6,1,13,1,29,1,6,1,7,1,6,1,24,1,8,1,24,1,10,2,24,1,12,2,10,1,12,2,10,1,12,1,10,1,8,1,9,1,11,1,9,1,8,1,7,1,13,1,9,1,10,1,11,5,10,1,11,1,16,1,11,2,16,4,11,1,16,1,11,1,9,1,11,1,16,1,11,1,9,1,11,2,16,5,11,2,16,1,11,8,13,1,9,2,11,1,9,2,16,1,13,1,11,1,9,2,11,1,13,1,11,1,8,1,13,1,9,2,10,1,9,3,11,1,8,2,11,1,9,2,11,2,9,2,11,1,8,1,10,1,9,2,13,1,9,2,8,1,9,2,13,1,9,1,13,2,10,1,13,1,8,1,13,1,9,5,16,1,8,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,8,1,13,1,9,1,13,3,9,4,8,1,13,1,6,1,9,1,13,4,9,1,13,3,9,1,8,1,13,1,8,1,13,1,7,1,13,2,9,1,13,1,9,1,8,1,13,1,8,3,13,1,9,2,13,1,9,1,13,1,9,1,13,1,10,1,13,2,9,1,13,1,8,1,7,1,9,1,13,2,8,1,13,1,8,1,9,1,13,1,9,1,13,2,8,1,9,3,13,1,8,1,9,2,13,1,9,4,13,1,9,4,11,4,10,1,11,3,16,1,9,1,16,1,9,1,11,1,9,1,11,1,9,3,13,1,9,3,13,2,8,1,13,1,9,1,8,1,9,3,8,3,13,1,9,1,13,1,9,1,13,3,30,1,33,50,5,368,30,1,28,2,7,1,9,1,8,1,11,1,24,2,8,1,12,1,9,1,13,1,8,2,13,1,29,1,13,1,7,1,13,1,30,1,8,1,7,1,9,2,6,1,13,1,30,1,28,7,29,1,8,1,6,2,28,1,6,1,13,2,7,3,13,1,30,1,7,1,13,1,7,1,6,3,8,1,7,4,29,1,6,1,13,1,6,2,13,2,7,2,29,1,13,1,29,1,6,1,13,2,6,1,8,1,9,1,6,1,11,1,9,1,8,1,9,4,6,1,30,1,28,12,30,2,28,3,30,4,6,1,29,1,30,1,29,1,6,1,29,2,30,1,6,1,13,1,30,1,6,2,7,1,6,1,13,2,7,1,13,2,6,1,13,4,8,1,13,10,8,1,13,1,8,1,7,1,8,2,13,2,9,2,8,1,13,1,9,3,13,1,9,1,8,1,7,1,13,1,6,1,8,1,6,1,13,3,6,1,13,7,9,1,16,4,17,1,16,1,17,3,16,1,17,9,16,2,13,3,6,2,30,1,6,1,13,1,6,3,13,3,9,1,16,1,17,13,16,2,9,1,13,3,6,1,30,1,13,1,6,1,13,1,6,1,13,1,9,2,16,1,11,1,16,3,9,1,16,1,9,2,11,1,9,1,13,1,9,1,13,2,8,1,11,1,8,1,11,1,8,1,17,1,9,1,11,2,8,1,9,3,13,1,9,1,16,1,11,1,17,1,9,2,10,1,12,1,17,1,9,1,11,1,12,3,9,1,11,1,9,1,11,1,12,1,17,2,9,1,11,1,9,1,11,1,17,1,11,1,17,2,11,5,17,1,9,3,11,1,12,1,17,4,9,1,11,1,17,1,12,1,16,1,11,1,16,2,17,1,10,1,17,3,16,1,11,2,17,8,16,1,17,1,10,1,16,1,9,1,8,1,12,1,17,1,12,1,17,1,10,1,11,1,12,2,9,1,17,1,11,1,17,2,9,1,17,2,11,1,17,1,16,1,9,1,12,1,9,1,11,2,9,1,10,1,11,2,7,1,12,1,8,2,13,1,24,1,8,1,13,1,29,2,7,1,30,1,29,1,30,1,29,2,30,1,6,2,30,1,6,1,7,1,6,1,29,1,6,6,7,1,30,1,6,1,7,1,30,1,7,1,6,1,7,2,29,1,6,1,30,1,6,1,7,1,6,1,7,3,29,1,8,1,29,1,6,1,7,1,8,1,6,1,13,1,8,2,13,1,7,1,13,1,7,1,13,1,24,1,8,2,9,1,8,1,13,1,8,1,9,1,8,1,10,1,8,1,9,2,10,1,8,1,10,3,11,2,10,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,11,2,16,6,9,2,11,1,16,1,9,2,11,1,9,3,13,1,8,1,9,5,13,1,9,4,11,1,8,1,10,1,9,2,13,1,9,4,10,1,9,2,11,1,17,1,9,1,11,1,16,1,11,5,10,1,9,2,16,3,9,1,16,1,17,3,5,28,28,2,30,1,6,1,7,1,29,1,13,2,8,1,13,2,8,1,6,1,30,1,6,1,28,2,30,1,6,1,30,1,7,1,30,5,29,1,30,1,28,1,30,1,6,2,13,1,8,1,13,2,29,1,7,1,9,1,10,1,11,1,13,2,28,1,7,1,13,1,29,1,6,3,13,4,7,1,13,2,9,2,8,1,13,2,9,3,17,2,12,1,17,1,9,1,11,1,10,1,9,1,11,1,12,1,10,1,11,1,12,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,8,3,9,1,8,1,9,2,11,1,10,1,8,2,13,1,10,1,9,1,8,1,11,2,9,1,11,1,17,23,12,1,17,1,16,1,17,12,16,1,17,5,11,1,12,2,17,3,12,4,11,1,17,1,11,2,17,1,11,3,17,3,12,2,17,2,12,1,17,1,11,1,12,1,17,1,11,1,12,1,17,1,10,1,12,1,9,1,11,2,9,1,11,2,17,1,12,1,9,2,10,1,11,1,17,1,12,1,9,1,11,1,12,2,24,2,12,1,8,2,24,1,9,1,10,1,9,2,8,1,10,2,11,1,17,1,12,1,17,1,12,1,10,1,17,4,12,1,17,1,12,1,17,1,12,2,17,8,11,2,17,1,11,1,17,1,11,1,17,23,16,2,17,1,16,1,17,5,12,1,17,5,12,1,17,3,16,1,17,5,16,1,17,1,12,1,17,4,11,1,17,1,11,2,9,1,10,1,11,1,9,1,10,1,9,2,13,2,9,1,5,18,13,1,28,12,11,1,16,1,17,1,12,1,9,1,8,1,9,1,8,1,30,1,6,1,29,1,28,1,6,1,13,1,8,1,16,2,17,1,6,1,28,5,9,1,17,1,9,1,28,1,6,1,29,1,28,28,12,2,9,1,8,1,7,1,30,1,9,1,16,1,8,1,13,1,24,1,6,1,28,1,30,1,28,1,30,1,}, {29,1,10,1,17,1,24,1,10,1,13,2,7,2,13,1,15,1,9,1,28,34,6,1,28,1,29,1,30,1,7,1,6,1,10,1,8,2,24,1,15,1,14,1,9,1,29,1,6,1,28,1,29,1,28,1,6,1,8,1,11,1,6,1,13,2,8,1,6,1,8,2,9,1,13,1,30,1,6,1,10,1,9,1,13,1,29,2,6,1,29,2,12,1,11,1,17,2,24,1,9,1,8,1,24,1,8,2,24,1,15,1,12,1,15,1,10,1,9,2,24,1,16,1,24,1,7,1,28,2,30,1,28,3,29,1,30,1,28,2,30,3,28,1,30,3,28,1,29,1,28,1,29,1,30,2,6,2,13,1,10,1,8,1,24,1,10,1,17,1,9,1,6,1,29,1,30,1,6,1,28,1,29,1,6,1,24,1,12,1,17,1,12,1,17,1,12,1,8,1,13,2,8,1,24,1,8,1,13,1,24,1,9,1,12,1,14,2,13,1,6,1,28,13,7,1,10,1,16,4,17,3,11,1,16,6,17,1,16,1,17,1,16,1,7,1,29,1,30,1,28,3,30,1,28,3,30,1,28,27,29,2,28,1,29,2,28,1,29,1,6,1,29,1,30,1,25,1,7,2,8,2,13,1,8,1,10,1,7,1,8,1,6,1,30,1,29,2,30,1,28,1,30,1,28,3,30,2,29,1,30,1,28,1,13,1,24,1,9,1,10,1,17,3,10,1,12,3,17,3,8,1,13,1,7,1,8,1,29,2,6,1,29,2,6,1,30,2,29,1,28,1,29,1,28,8,30,1,28,8,30,1,28,6,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,29,2,30,1,29,1,6,1,13,1,29,2,13,1,29,6,30,1,29,1,28,2,29,1,30,1,28,32,29,1,28,18,6,1,28,1,30,1,28,34,30,1,28,5,30,3,13,1,6,2,8,2,13,1,24,1,7,1,6,1,8,3,6,1,28,25,30,2,28,1,30,2,6,2,29,1,6,2,29,1,6,1,30,2,7,1,8,1,7,1,8,1,24,1,29,1,8,2,24,1,8,1,13,1,7,1,6,2,8,2,13,1,7,1,13,1,6,1,8,1,24,1,8,1,13,1,8,1,13,1,24,1,8,2,24,1,8,1,13,1,8,1,24,1,13,1,24,1,8,1,9,3,17,1,12,1,10,1,24,1,17,1,9,1,17,1,9,3,12,1,9,1,17,1,10,1,12,1,17,1,12,1,11,1,10,1,24,1,13,1,8,1,6,3,29,2,30,1,28,54,29,1,28,3,29,1,6,3,13,1,6,1,7,1,8,1,7,2,13,1,8,1,7,1,6,1,8,2,6,1,29,1,13,1,29,1,25,1,6,1,28,1,6,1,29,1,26,1,7,1,29,1,6,1,26,1,6,1,7,1,6,1,8,3,24,1,17,1,12,1,17,2,10,1,30,1,28,2,6,1,28,2,30,1,28,13,30,1,29,1,28,1,29,1,28,1,30,2,7,1,28,2,29,1,28,3,29,1,30,1,29,1,28,1,30,1,28,1,6,1,28,1,30,1,28,27,30,1,28,1,30,1,28,1,29,1,30,1,13,1,8,1,24,3,9,1,17,1,8,1,17,1,12,1,24,1,12,1,24,1,9,1,10,1,8,1,9,1,24,1,8,2,13,2,7,1,9,1,10,1,11,3,16,1,11,2,16,1,10,1,11,2,16,1,11,4,9,1,16,2,11,1,8,1,11,1,16,4,11,1,16,4,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,9,1,11,1,9,1,16,1,9,1,16,2,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,3,11,1,9,5,11,1,9,4,8,1,9,2,16,1,13,1,8,1,9,1,11,1,9,4,13,1,9,1,13,2,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,4,11,2,10,1,9,1,11,2,9,5,13,1,8,1,13,2,9,1,13,2,9,2,13,1,9,5,13,1,9,1,8,1,13,3,8,1,13,1,9,1,13,2,8,1,13,1,9,1,6,1,8,1,13,2,8,2,13,1,8,1,9,1,13,1,9,3,8,1,13,1,8,2,9,1,13,1,6,1,9,1,13,1,8,1,9,1,13,2,11,1,13,1,8,2,9,2,7,1,13,3,9,1,13,1,9,1,13,5,8,1,13,1,8,2,13,1,9,2,8,1,13,1,10,1,9,5,11,1,9,1,11,4,9,1,11,1,8,1,9,1,11,1,9,2,11,1,13,1,9,1,8,1,13,1,9,2,30,1,9,3,13,1,9,1,11,1,9,1,13,1,11,1,13,2,8,1,13,2,6,1,30,1,28,1,33,50,5,368,33,1,28,4,24,1,9,1,8,3,10,1,24,1,10,1,13,2,6,1,7,1,8,1,6,2,13,1,29,1,12,1,13,1,6,1,30,2,28,7,6,1,13,1,28,1,30,1,29,2,13,1,6,1,13,2,7,4,6,1,7,1,6,1,13,2,7,1,6,1,7,1,13,1,7,1,13,3,8,1,13,1,6,3,13,2,6,1,13,1,6,3,13,3,8,4,9,1,12,1,8,2,30,2,28,9,29,1,30,2,28,1,30,1,28,1,29,1,28,1,30,4,29,1,6,1,30,1,29,1,7,1,28,1,29,1,6,3,7,2,13,1,7,1,6,4,13,1,7,1,13,3,6,1,13,1,8,1,13,1,9,1,13,3,8,1,24,1,13,1,24,1,13,1,10,1,6,1,8,1,13,1,7,1,13,1,6,1,9,1,8,1,13,2,8,1,24,1,8,1,24,1,8,1,13,3,7,1,13,2,9,1,13,1,6,1,13,1,6,1,13,5,9,1,6,1,9,1,13,1,16,9,17,9,16,1,17,1,16,1,13,1,6,2,13,2,30,1,6,1,30,1,28,1,13,3,6,1,13,2,11,1,17,14,16,2,9,1,13,3,6,1,13,1,6,2,13,4,9,2,16,5,13,1,9,1,11,2,16,1,9,3,11,1,9,1,11,5,9,1,11,1,13,1,9,2,10,1,9,2,12,1,13,1,12,1,17,1,9,1,12,1,11,1,10,2,9,2,11,2,17,1,12,2,11,1,9,1,12,1,9,1,17,1,11,1,17,1,11,1,10,1,9,2,16,1,17,4,12,1,11,2,9,1,17,1,16,1,17,6,11,2,17,1,11,1,17,1,11,1,16,2,17,1,16,1,17,1,11,1,17,4,11,1,16,1,17,1,11,1,17,2,16,1,17,1,16,1,17,3,11,1,17,1,12,1,17,1,10,1,17,2,12,4,9,1,12,1,11,2,16,1,9,1,17,1,12,1,17,2,9,1,12,1,11,1,9,1,11,1,10,1,8,1,24,1,8,1,24,1,7,1,13,1,6,1,7,1,6,1,29,2,6,1,28,2,6,1,30,1,6,1,30,1,6,1,30,1,6,2,13,1,6,1,30,1,6,3,29,1,6,1,7,1,13,1,29,1,8,1,6,1,7,1,6,2,29,1,6,1,29,1,7,1,13,1,29,1,8,1,29,1,7,1,28,1,6,1,13,1,7,1,13,1,6,1,7,1,13,1,6,1,13,1,7,1,13,1,6,1,8,2,13,1,8,1,13,1,8,4,24,1,7,1,9,1,8,1,9,5,11,1,9,2,11,1,9,3,11,2,9,2,11,4,16,1,11,4,16,1,11,1,16,1,10,1,11,1,9,1,11,1,9,2,11,1,13,1,9,3,8,1,13,1,8,1,13,2,8,1,9,1,13,1,9,2,8,2,9,2,11,1,8,1,11,1,9,2,8,1,10,2,11,3,16,1,9,1,8,1,11,2,10,1,11,1,9,1,11,7,10,1,9,3,16,2,5,27,28,3,13,1,6,1,29,1,13,2,7,1,13,3,6,2,30,1,28,3,29,1,13,1,30,1,6,4,29,1,30,1,6,1,7,1,13,3,8,1,9,1,13,1,8,1,10,1,13,1,8,1,6,1,13,1,6,1,30,2,28,1,30,1,7,2,13,1,7,1,13,1,7,1,13,2,7,1,13,2,9,1,8,1,13,1,10,1,13,1,9,1,8,2,17,1,11,1,12,1,11,2,9,2,11,1,12,1,10,1,17,1,11,1,9,1,11,3,9,2,10,1,9,1,13,1,8,1,9,1,8,2,13,1,8,1,9,3,8,1,10,1,9,2,7,1,13,1,11,1,10,1,11,1,12,2,17,29,16,1,11,1,16,1,17,1,11,1,17,5,11,2,17,2,11,1,17,4,12,1,11,2,17,4,11,2,17,1,11,1,12,1,17,2,11,1,12,1,17,1,11,1,10,1,17,1,12,1,17,1,11,2,12,2,24,1,11,2,17,1,12,1,9,2,8,1,12,2,17,1,9,1,12,1,10,1,8,1,11,1,13,1,24,1,10,1,17,1,13,1,10,2,24,1,17,1,7,1,12,1,9,1,8,1,9,2,8,1,7,1,9,2,17,1,12,1,17,2,9,1,17,2,11,1,17,1,11,1,12,1,11,1,17,2,12,5,17,1,11,1,17,3,11,1,17,1,10,1,17,1,12,1,9,1,11,1,17,34,11,1,17,1,16,1,17,1,11,1,17,2,16,1,17,1,16,1,17,1,11,1,17,1,16,1,17,1,11,1,12,2,17,2,11,1,17,1,10,1,11,1,9,2,8,1,9,1,13,2,30,1,28,1,13,1,5,19,13,1,28,12,9,1,14,1,17,1,16,1,9,2,8,2,30,2,6,2,30,1,8,1,9,1,11,1,17,1,16,1,30,1,28,5,11,1,17,1,12,1,30,1,13,1,7,1,28,28,9,1,17,1,12,1,9,1,29,1,28,1,9,1,11,1,10,1,9,1,13,1,6,1,28,4,}, {8,1,9,2,17,1,11,1,13,2,6,2,8,1,15,1,9,1,28,27,30,1,28,8,7,1,6,2,13,1,8,1,9,1,8,1,9,1,15,2,12,1,8,1,28,1,30,1,6,1,28,2,24,1,9,1,7,1,13,2,8,1,6,1,9,1,24,1,6,1,24,1,29,1,6,1,10,2,24,1,6,3,29,1,6,1,12,2,17,1,16,1,10,1,9,2,13,1,8,1,6,1,8,1,9,1,12,2,9,2,24,1,13,1,12,1,9,1,30,1,29,1,30,1,28,1,30,1,6,1,28,3,30,4,28,5,30,2,29,1,6,1,29,1,30,1,6,2,13,1,11,1,9,1,24,1,10,1,17,1,10,1,6,2,28,1,30,2,6,1,28,1,17,4,16,1,10,1,9,1,8,1,13,1,8,1,24,1,8,1,9,1,8,1,9,1,24,1,17,2,24,1,6,1,30,1,28,1,29,1,28,9,30,1,13,1,17,1,11,1,17,2,16,2,17,1,16,2,17,1,16,1,17,4,16,1,17,1,12,1,13,1,6,1,28,1,30,1,28,2,30,1,28,32,30,2,28,1,29,1,28,1,30,2,6,1,29,2,25,1,13,1,29,1,8,1,7,1,24,2,8,3,13,1,29,1,6,1,13,1,7,1,6,1,29,1,30,2,29,1,30,1,28,1,29,2,28,1,6,1,30,1,13,3,12,1,17,1,10,1,17,3,9,1,17,1,12,2,6,1,7,1,6,1,8,1,7,1,13,1,29,1,6,4,29,1,30,1,28,1,29,1,28,2,29,1,28,4,30,2,28,17,6,1,29,1,28,1,30,1,28,1,30,1,28,2,30,2,6,1,30,3,6,1,7,4,6,2,30,1,6,1,28,1,7,1,28,1,6,1,28,1,29,1,28,1,30,1,28,4,30,1,28,13,29,1,28,3,30,1,28,2,6,1,28,4,30,1,28,4,29,1,28,1,29,1,30,1,28,49,30,1,28,1,7,1,28,1,30,1,29,1,6,2,7,1,8,1,6,1,13,1,6,1,9,5,8,1,9,1,10,1,8,1,13,1,28,29,29,1,28,1,30,2,28,2,6,1,7,1,6,1,29,1,8,1,25,1,6,1,8,1,24,1,7,1,24,1,13,1,8,1,7,2,8,1,13,1,8,1,13,1,24,1,6,1,24,1,13,1,7,2,13,3,8,1,24,3,8,1,13,2,8,1,13,1,8,1,10,1,9,1,12,1,24,1,12,1,9,1,24,1,9,1,12,2,10,1,11,1,12,2,9,1,8,1,10,1,12,1,8,1,10,1,24,1,17,1,10,1,17,1,9,2,24,2,7,1,8,1,13,1,6,2,29,1,28,54,29,1,6,1,30,1,28,1,30,1,28,1,6,2,13,1,24,2,8,1,7,1,13,2,8,1,6,1,8,1,29,1,7,1,6,1,30,1,25,1,6,1,29,1,24,1,7,1,28,1,25,1,6,2,26,1,6,2,7,1,13,3,8,1,7,1,24,1,9,1,13,2,17,3,28,3,29,1,30,1,28,11,30,1,28,1,29,2,6,2,28,2,29,1,30,1,28,2,30,1,28,3,29,2,28,2,29,2,28,1,29,1,6,1,30,1,28,2,30,1,28,26,29,2,6,1,13,1,6,1,7,1,8,1,13,1,24,1,9,1,12,2,24,1,12,1,17,1,10,1,9,1,17,1,9,1,8,1,10,1,8,1,9,1,24,1,13,3,9,1,8,1,17,1,16,2,17,1,11,2,9,1,11,2,10,1,11,1,16,2,11,1,9,1,11,1,10,1,11,1,16,1,11,2,16,2,11,1,9,1,11,3,16,1,11,1,9,1,16,1,11,1,16,1,11,2,16,1,9,1,11,1,9,1,16,1,11,1,16,1,9,1,11,1,9,1,16,1,11,1,16,2,11,1,17,1,10,1,9,2,11,1,16,1,11,1,9,2,11,1,9,6,16,1,10,1,9,1,16,1,11,1,8,1,9,1,11,1,9,1,13,1,9,1,13,1,9,1,11,1,13,1,8,1,13,2,8,1,13,1,6,1,13,2,10,1,9,2,8,1,9,1,11,1,9,1,11,1,9,1,11,2,9,1,10,1,9,1,13,1,11,1,9,1,13,3,9,3,11,1,9,3,13,1,9,1,13,1,9,1,13,7,9,1,8,1,13,3,9,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,9,1,13,1,9,1,13,5,8,1,9,1,13,4,9,1,13,1,9,2,13,1,9,1,13,3,8,1,13,1,8,1,9,1,13,1,8,1,13,2,8,1,13,2,8,1,13,2,9,2,8,2,13,1,9,1,13,1,8,1,10,2,11,1,9,1,11,1,9,2,11,2,16,1,11,2,9,1,11,1,9,6,11,1,9,1,13,1,9,2,13,1,8,1,9,1,8,1,9,2,8,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,8,1,13,1,30,2,33,51,5,368,13,1,28,3,6,1,13,2,9,1,8,1,13,1,24,2,6,1,24,1,6,1,7,1,6,1,7,1,6,2,8,1,29,1,28,11,13,1,6,1,30,2,6,1,13,1,8,1,6,1,29,1,13,1,7,2,6,1,13,1,6,2,7,1,6,1,13,1,7,1,29,2,8,1,29,1,13,1,6,1,7,1,8,1,13,1,6,2,30,1,6,1,29,1,6,1,29,1,13,1,6,2,29,1,13,3,8,1,9,1,8,1,13,1,9,1,13,1,30,1,28,1,30,2,28,3,29,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,4,6,1,30,1,29,3,30,2,7,1,30,2,13,1,6,1,13,1,8,1,6,2,13,1,7,2,13,3,8,4,13,1,8,1,9,1,8,1,9,1,8,1,24,1,13,1,7,1,9,1,8,1,13,1,8,5,7,1,8,1,13,1,8,1,13,1,8,1,13,3,6,2,7,1,6,1,30,1,13,1,6,1,13,9,11,1,16,5,17,1,16,1,17,3,16,1,17,1,16,1,17,6,16,3,13,1,6,1,28,1,6,1,13,1,6,3,13,2,6,2,9,1,13,1,9,1,16,2,17,13,16,2,11,1,9,1,13,3,30,2,6,1,30,1,6,1,28,1,6,1,30,1,9,4,11,1,9,1,16,2,11,1,9,1,16,1,9,1,11,1,9,1,16,1,11,1,9,5,11,1,8,1,9,1,10,1,9,2,11,1,9,1,10,1,8,1,9,1,13,1,9,3,16,2,17,1,9,1,10,2,17,1,12,1,16,1,12,1,16,1,9,2,17,1,11,1,17,1,12,1,17,2,12,1,17,1,11,1,16,1,17,1,16,1,17,4,11,1,16,1,17,1,11,1,9,1,16,1,17,4,11,1,17,2,16,1,17,5,11,1,17,2,16,1,17,4,16,1,17,3,12,1,17,6,12,2,17,1,11,2,10,1,11,1,9,1,12,1,9,1,17,1,12,2,11,2,17,1,10,1,9,1,10,1,9,1,24,1,9,2,13,1,9,1,8,1,24,2,7,2,29,2,6,1,29,1,30,1,29,1,7,1,30,1,7,1,29,1,6,2,30,2,7,4,6,1,29,1,8,1,7,1,6,1,29,1,7,1,29,1,7,1,29,1,7,2,6,3,29,1,6,1,8,1,28,1,29,1,13,1,7,2,29,1,13,1,6,1,8,1,29,1,7,1,13,1,6,1,13,4,7,3,10,1,13,3,9,2,8,1,9,1,13,1,9,1,13,1,8,2,9,3,11,1,10,1,11,1,9,3,11,3,10,1,9,1,16,1,9,1,16,1,11,1,16,3,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,9,2,11,1,13,1,9,3,13,1,9,2,13,1,9,2,8,1,9,2,13,1,9,1,8,1,9,1,10,1,8,1,9,1,8,1,9,3,11,1,9,2,16,1,11,1,16,1,11,4,9,1,16,1,9,1,11,3,16,2,10,1,11,2,16,2,11,1,9,1,11,1,17,1,16,1,5,26,28,2,30,1,6,2,29,1,30,1,13,1,6,1,7,2,13,1,29,1,30,1,28,2,30,1,13,1,6,1,30,1,13,1,6,1,30,1,29,1,28,1,30,1,9,1,13,1,8,1,13,2,29,1,30,1,6,3,13,2,29,1,28,1,6,3,8,1,9,2,8,2,13,1,7,1,8,1,9,1,13,2,8,1,9,1,8,1,9,1,8,1,13,1,8,2,13,2,11,1,9,1,10,1,12,2,11,1,9,2,11,1,10,1,11,2,10,1,11,1,9,1,11,1,9,1,11,1,9,2,8,3,13,2,8,1,13,1,8,1,13,1,9,3,10,1,9,3,8,1,13,1,9,1,11,1,10,1,9,1,11,3,12,2,17,19,16,1,17,1,16,1,17,2,16,3,11,1,17,1,11,2,17,7,12,1,11,1,12,1,17,3,11,1,12,2,11,4,12,1,17,4,9,1,12,2,17,1,11,2,9,1,11,1,12,2,24,1,12,1,9,1,11,1,12,1,10,1,12,1,24,1,12,2,9,1,11,1,12,4,24,1,12,1,11,1,9,1,10,1,8,1,12,1,17,1,12,1,10,2,17,1,10,1,24,1,10,1,6,1,10,1,24,1,9,1,12,1,13,1,8,1,17,1,10,1,17,2,11,1,17,6,12,1,17,1,10,1,17,1,10,1,12,1,17,2,10,1,12,1,17,1,9,1,11,1,17,2,12,1,17,1,11,1,12,1,11,1,9,1,17,17,16,1,17,3,16,1,17,5,12,1,17,12,11,1,17,1,16,1,17,2,11,3,12,1,11,1,17,1,11,2,12,1,11,2,9,1,29,1,13,1,6,1,30,1,6,1,28,1,13,1,5,20,30,1,28,12,13,1,14,1,16,2,12,1,9,1,24,1,8,1,30,2,6,1,30,1,29,1,13,1,8,1,16,2,11,1,6,1,28,5,10,1,17,1,9,1,28,1,6,1,29,1,30,1,28,26,30,1,11,4,13,1,6,1,11,1,17,1,9,1,24,1,13,1,28,5,}, {13,1,11,1,9,1,17,1,9,1,8,2,7,1,13,1,24,1,13,1,8,1,28,1,30,1,28,23,29,1,28,8,29,1,30,2,29,1,7,1,13,2,24,1,9,3,17,1,24,1,13,1,30,1,6,1,30,1,28,1,30,1,9,1,12,1,8,1,6,1,13,1,24,1,9,1,24,1,12,2,8,1,30,1,29,1,10,1,8,1,13,1,6,2,29,2,13,1,12,1,11,1,17,1,9,1,11,1,24,1,9,1,13,4,17,1,9,1,12,1,10,1,12,1,17,1,9,2,17,1,28,1,29,1,30,1,28,1,30,1,28,2,6,1,28,8,30,1,29,1,6,1,30,1,28,1,6,1,29,1,30,2,29,1,6,1,10,1,24,1,16,1,17,1,16,1,14,1,29,2,30,1,6,1,28,1,30,1,6,1,9,1,10,1,17,2,16,1,12,1,10,1,8,1,13,1,7,1,24,1,7,1,8,1,24,1,8,1,16,1,14,2,24,1,28,1,30,1,28,3,30,1,28,8,7,1,11,1,17,2,16,3,11,1,17,5,16,1,17,2,16,2,8,1,7,1,6,1,28,1,30,1,28,39,30,2,29,1,30,1,29,1,30,1,27,1,25,1,29,1,6,1,8,3,24,1,12,1,24,1,9,1,8,1,24,1,8,1,13,2,6,3,13,4,6,2,7,1,13,1,29,1,6,1,13,1,6,1,24,2,17,1,12,1,10,2,17,3,13,1,7,2,6,2,13,1,6,1,7,1,30,1,13,1,30,1,6,1,28,1,6,1,30,1,28,4,30,1,28,20,30,1,28,1,30,2,28,2,30,1,28,2,29,1,28,1,30,2,6,1,28,1,29,1,7,1,29,2,6,1,30,1,29,1,6,1,29,2,6,1,28,1,6,1,29,2,6,1,29,1,30,2,28,1,29,1,6,1,28,1,30,1,28,5,30,1,28,5,30,2,28,7,29,1,28,6,30,1,29,1,28,2,30,1,28,3,30,1,28,8,30,1,7,1,28,35,6,2,7,1,6,2,13,2,9,1,7,1,9,1,13,1,8,1,9,1,12,1,10,1,11,1,12,1,9,1,11,1,24,2,8,1,28,24,29,1,28,3,30,1,6,1,30,1,28,1,6,2,29,1,6,1,30,1,6,1,7,1,30,1,7,1,24,1,6,1,7,1,8,1,7,1,8,1,6,1,13,2,7,2,13,1,7,1,8,1,7,1,6,1,8,1,13,2,24,1,8,2,13,1,8,1,24,1,13,1,8,7,9,3,8,1,13,1,9,1,12,1,8,1,12,1,10,1,17,2,9,1,11,1,9,1,11,2,8,1,9,3,17,1,12,1,17,2,11,1,12,1,24,1,13,2,7,1,6,1,30,1,7,1,28,54,6,1,29,1,28,1,6,1,29,1,13,1,8,1,30,1,24,1,29,1,8,1,6,1,8,2,24,1,6,1,7,1,8,1,7,1,24,1,7,1,6,1,29,1,30,1,25,1,7,1,25,1,8,1,6,1,27,1,6,2,25,1,7,1,6,1,29,1,8,3,13,1,9,1,8,1,9,1,17,1,12,1,17,1,12,1,7,1,28,1,30,1,29,1,28,9,7,1,6,1,28,3,29,1,28,1,30,6,28,3,29,1,28,4,29,1,28,2,6,1,30,2,28,1,30,2,28,26,30,1,28,1,30,1,6,1,29,1,13,1,7,1,13,1,24,1,13,1,10,1,17,1,24,1,9,2,12,1,10,2,12,2,24,1,12,1,9,1,8,1,12,1,6,1,7,1,13,2,8,1,11,1,16,1,11,2,16,2,11,1,10,1,11,2,10,1,9,2,16,1,9,2,11,1,9,1,11,1,9,1,11,1,16,1,11,2,16,2,9,1,11,2,16,1,11,3,9,1,11,1,9,1,16,1,11,1,16,1,11,3,9,3,16,1,9,1,11,3,9,3,11,1,16,1,9,2,13,1,9,1,13,1,11,1,9,2,11,1,8,1,9,2,10,1,16,1,11,1,9,2,10,1,9,1,11,1,16,1,9,3,11,1,9,1,13,2,9,1,13,6,9,5,10,1,9,4,11,1,9,1,11,1,9,1,11,1,9,1,13,2,9,1,13,1,11,1,9,1,8,2,9,2,11,1,10,1,8,1,9,1,13,2,8,1,13,2,9,1,13,1,8,1,13,1,8,1,13,2,10,1,13,1,9,2,6,1,13,3,9,2,8,2,9,1,13,5,8,1,13,1,8,1,13,1,9,1,13,1,6,1,8,1,13,2,9,2,13,3,8,1,13,2,8,1,13,1,8,1,13,2,9,1,13,3,7,1,13,4,9,1,13,4,8,1,9,1,13,2,9,2,11,2,10,1,9,1,11,1,16,1,9,1,11,2,9,3,16,1,9,1,16,1,9,1,10,1,8,1,11,1,9,1,13,1,9,1,13,1,8,1,9,1,13,2,9,1,13,1,9,4,13,1,8,1,13,3,7,1,13,3,6,1,33,50,5,369,33,1,30,1,28,3,13,1,8,2,13,1,9,1,13,1,29,1,8,1,13,1,28,1,29,1,7,1,8,1,7,1,29,1,28,11,13,1,30,1,28,1,30,1,24,1,29,1,28,2,6,1,8,1,30,1,6,2,29,1,6,1,29,1,6,2,29,1,6,1,13,2,7,2,13,3,6,2,13,1,7,1,13,1,6,1,7,1,6,2,13,2,7,1,6,1,13,1,7,1,13,2,8,2,13,1,8,1,30,1,6,1,28,3,30,1,28,5,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,29,1,30,2,28,2,30,4,29,1,28,1,7,1,29,3,7,1,6,2,7,1,6,2,13,1,6,1,7,1,13,1,6,1,13,3,8,1,13,1,8,1,9,1,13,1,9,1,13,1,24,1,8,2,13,1,8,1,13,2,24,1,7,1,13,2,8,3,13,1,24,1,13,3,7,2,29,1,6,1,30,1,13,2,30,1,13,1,6,1,13,4,6,1,13,6,16,1,11,1,16,5,17,2,16,1,17,2,16,1,17,7,16,1,17,1,16,1,9,1,6,1,13,2,6,3,13,1,6,3,30,1,13,1,11,1,16,1,9,1,16,2,17,9,16,1,17,1,16,3,11,1,9,1,6,1,13,1,6,1,13,1,6,3,13,1,6,1,30,1,9,2,13,2,9,1,16,1,11,6,9,1,16,1,11,2,9,1,10,1,13,1,8,1,13,1,8,1,11,1,10,1,11,1,9,1,11,1,8,1,9,2,11,1,16,1,10,1,17,1,16,2,11,3,16,1,12,1,9,1,17,1,16,2,10,1,17,1,10,1,17,3,11,1,9,1,17,1,11,3,16,1,17,3,16,1,17,1,11,1,17,8,11,1,17,20,16,1,17,5,9,1,12,1,11,2,12,3,10,1,9,1,10,2,17,1,11,1,17,2,16,1,9,1,12,1,17,1,11,1,9,1,12,1,24,2,11,1,8,1,24,1,8,1,9,1,24,1,6,1,13,1,29,2,6,2,29,3,6,1,30,1,6,1,29,1,6,1,29,1,30,1,29,1,30,2,29,1,6,1,29,1,13,1,7,1,29,2,6,2,7,1,30,1,6,6,30,1,13,1,6,4,13,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,30,1,8,1,13,1,7,1,13,1,8,1,13,1,7,1,13,2,8,2,7,2,8,2,13,1,9,2,8,1,11,1,8,1,11,1,9,2,11,1,9,4,8,1,9,4,11,1,16,1,11,1,16,7,11,2,9,4,11,1,13,1,9,1,8,1,9,1,13,2,10,1,8,5,13,1,9,1,8,2,9,1,13,1,9,1,13,1,9,2,13,1,10,1,9,1,13,1,10,1,11,2,10,1,11,1,9,2,10,1,9,1,11,1,9,1,10,1,11,4,10,1,11,3,9,1,10,1,11,2,9,1,16,2,17,4,9,1,13,2,5,19,33,1,30,1,28,1,30,1,13,1,6,1,13,5,28,1,7,1,30,2,28,4,30,1,6,3,7,1,13,1,8,1,9,1,8,2,13,1,7,1,29,2,30,1,28,5,13,1,9,3,11,1,9,2,11,1,9,4,8,1,9,2,8,1,9,1,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,11,1,9,1,11,2,12,1,11,1,12,1,10,1,11,2,10,3,9,1,8,2,9,2,10,1,8,1,9,1,8,2,13,3,9,3,8,1,13,1,9,3,8,1,9,1,8,2,10,1,11,2,9,1,11,1,17,11,11,1,17,12,11,1,17,2,11,2,17,4,12,1,17,2,12,1,11,1,12,1,11,1,17,2,11,2,17,3,11,1,17,4,12,1,11,1,17,1,11,3,9,3,17,1,11,1,10,1,9,1,11,1,17,1,11,2,12,1,10,1,11,1,9,1,11,1,17,1,11,1,24,1,9,1,12,2,9,1,10,1,12,1,9,1,12,1,17,1,12,2,10,1,9,1,17,1,9,1,12,2,9,1,24,1,9,1,13,1,8,1,9,1,8,1,13,1,17,1,8,1,9,2,12,1,11,1,12,1,17,4,11,1,12,1,11,1,12,2,17,2,11,1,9,1,17,1,11,1,17,2,12,1,11,1,17,2,9,1,10,1,11,1,17,2,11,1,10,1,12,1,11,1,9,1,17,30,11,1,16,1,17,2,11,1,16,1,11,1,17,3,11,1,17,1,12,1,11,1,17,1,11,2,17,2,12,1,11,2,12,1,11,1,13,1,28,1,6,1,28,3,13,1,5,21,28,12,7,1,9,1,14,1,16,1,10,1,9,2,7,2,30,1,6,2,30,1,29,1,13,1,11,2,10,1,17,1,28,6,12,1,17,1,8,1,30,1,29,1,28,28,30,1,16,1,11,1,16,1,13,2,6,1,24,1,9,1,24,2,13,1,28,5,}, {7,1,12,2,16,1,12,1,8,1,29,2,13,1,8,1,10,1,8,1,28,29,30,1,28,4,30,1,6,1,7,1,29,1,6,1,8,1,6,1,8,2,9,1,11,1,17,1,9,1,6,1,30,1,13,1,28,2,30,1,17,2,13,1,8,1,7,1,8,2,9,1,8,1,12,1,13,1,6,1,29,1,9,1,10,1,8,1,28,1,7,1,6,1,28,1,7,1,12,1,16,1,9,3,24,1,9,1,13,1,8,1,13,1,10,1,17,1,12,1,15,1,17,1,9,2,17,1,11,1,16,1,28,1,30,1,6,1,28,1,29,1,28,1,30,2,28,1,6,1,28,5,6,1,28,2,30,1,6,1,28,1,29,1,28,1,7,1,30,1,28,1,6,1,10,1,16,3,17,1,10,1,6,2,30,2,7,1,28,2,8,1,16,3,17,1,24,1,9,1,13,1,6,1,8,1,6,1,13,1,8,1,9,1,12,1,11,1,14,2,9,1,28,1,30,1,28,11,30,1,6,1,11,1,9,1,17,1,16,2,17,11,9,1,8,1,13,1,28,1,30,1,28,28,29,1,28,10,30,1,28,3,30,1,28,1,26,1,30,1,28,1,6,1,29,1,7,1,13,1,7,1,13,1,24,1,9,3,24,1,8,1,24,1,8,1,13,1,6,1,13,2,8,2,13,1,8,2,13,2,7,1,24,1,13,1,8,1,6,1,8,2,9,2,12,1,17,1,10,1,12,2,8,1,13,2,24,1,29,1,13,2,7,1,6,3,29,2,30,1,29,1,30,1,28,7,30,1,28,18,30,1,6,1,28,2,30,3,28,1,7,1,30,1,29,1,6,2,7,1,29,2,6,2,28,1,7,1,28,1,30,1,29,2,28,1,29,2,28,1,6,1,28,2,6,1,28,2,29,1,30,1,28,7,6,1,28,5,29,1,28,1,6,1,28,16,30,1,28,1,30,1,28,44,6,2,30,1,7,1,13,1,8,1,10,1,12,2,11,1,12,1,10,1,9,1,12,1,10,2,12,1,9,1,8,1,9,2,24,1,13,1,28,25,29,1,28,2,30,1,28,2,6,1,28,2,29,1,28,1,30,1,29,1,6,3,29,1,7,1,29,1,6,1,7,1,30,1,7,1,13,1,7,1,13,1,6,1,7,1,13,2,24,1,8,2,7,1,8,2,13,1,10,1,8,2,24,3,8,2,24,1,8,1,9,2,24,1,13,1,8,1,13,1,9,1,24,1,12,1,9,1,12,1,9,1,24,1,12,1,17,1,10,1,11,1,10,1,12,2,8,1,9,1,8,1,24,1,12,1,17,1,12,1,17,1,12,1,8,1,24,1,13,1,29,1,7,1,13,1,30,1,29,1,28,53,6,1,7,1,30,1,6,2,30,1,7,1,29,1,6,1,8,1,6,1,7,1,24,1,8,1,7,1,8,1,7,1,24,1,6,1,8,2,6,1,8,1,6,1,7,2,29,2,25,1,7,1,28,1,25,1,29,1,6,1,25,1,8,2,25,1,13,1,17,1,7,1,24,3,9,1,12,1,17,2,8,1,28,1,29,1,28,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,1,6,1,28,2,30,1,28,1,29,1,28,3,30,1,28,6,30,1,28,1,30,1,28,2,30,1,6,1,28,2,30,1,28,26,30,1,29,2,8,1,7,1,13,1,8,2,12,1,8,1,10,1,12,1,17,1,10,1,24,1,12,1,17,1,10,1,24,1,8,2,12,2,13,2,7,2,13,1,16,2,17,1,16,2,17,1,16,1,9,1,11,1,17,1,9,2,11,1,10,1,8,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,17,1,16,2,11,1,16,2,11,1,16,4,9,1,10,1,16,1,11,2,16,1,9,3,11,1,9,1,11,3,16,1,9,1,10,1,13,1,11,1,9,1,8,1,9,3,16,1,9,1,11,3,10,1,11,1,9,6,8,1,9,1,11,1,9,1,8,1,9,2,13,1,9,2,13,2,9,1,13,6,9,1,8,1,9,6,16,1,9,1,10,1,11,1,9,2,11,1,13,1,9,1,13,1,9,1,13,1,9,4,11,1,13,1,10,1,9,4,8,1,13,1,8,1,13,2,8,2,9,1,13,4,9,2,6,1,10,1,13,1,8,1,13,2,9,1,13,3,8,1,13,1,8,3,9,1,13,1,9,1,13,3,9,1,8,1,13,1,9,1,13,2,8,1,13,4,8,1,13,2,8,2,13,1,8,1,13,1,8,1,13,4,9,3,13,1,7,1,9,1,8,1,13,4,9,2,13,1,10,1,16,1,10,1,11,1,9,2,16,1,9,2,8,1,9,2,11,1,9,1,11,2,9,6,13,1,9,4,13,1,9,1,10,2,13,1,8,1,9,1,8,1,13,1,8,1,13,1,6,1,30,1,13,1,30,1,28,1,33,50,5,371,13,1,28,3,6,1,9,1,8,1,9,1,30,1,9,1,13,1,7,1,6,1,8,1,17,1,6,1,28,13,7,1,30,1,28,2,30,2,6,1,30,2,7,1,28,4,13,1,30,1,6,2,30,1,13,1,6,1,7,1,6,2,30,1,6,1,7,1,6,1,30,1,13,1,6,3,30,1,6,2,29,1,7,1,13,1,7,1,13,3,7,1,8,1,13,1,8,1,30,1,6,1,30,2,28,7,30,2,28,2,30,2,28,1,30,1,6,1,30,2,28,2,30,1,28,1,29,1,30,1,28,1,30,4,28,1,6,1,29,1,30,1,7,1,28,1,7,1,28,1,6,1,7,1,6,1,13,1,29,1,7,1,13,2,8,1,13,1,8,1,7,1,13,1,8,2,9,2,8,1,24,2,8,1,24,1,13,1,8,2,13,1,24,1,13,2,6,1,13,1,7,1,8,1,13,2,6,1,13,2,6,1,13,1,30,1,7,1,8,1,6,2,13,4,6,1,13,7,16,5,11,1,16,2,17,1,16,1,17,2,16,1,17,2,16,1,17,2,16,2,17,1,16,1,17,1,16,1,9,1,6,2,13,2,6,2,28,1,30,2,6,3,13,2,9,2,16,2,17,3,16,3,17,7,16,2,11,1,13,2,30,1,6,1,13,1,28,1,30,2,6,1,13,4,6,1,13,3,9,2,11,1,9,3,16,1,9,4,6,1,8,1,9,1,17,1,8,1,9,1,8,1,13,2,8,1,9,1,8,1,11,1,9,2,13,1,9,2,10,1,11,1,9,2,16,4,17,2,9,1,17,1,16,1,17,4,11,1,17,1,16,1,17,2,16,1,17,7,16,2,17,1,16,2,17,9,16,1,17,7,16,1,17,8,10,1,17,1,12,1,10,1,17,1,10,2,12,2,10,1,9,1,17,2,12,1,11,1,12,1,17,1,11,2,17,1,9,1,10,1,9,1,8,1,9,1,24,1,10,1,8,1,12,1,13,1,7,1,29,2,30,1,13,1,28,1,30,1,6,2,7,1,30,1,7,1,29,1,30,1,8,1,6,1,30,1,7,1,6,1,29,2,6,1,30,1,6,1,30,1,7,1,29,1,13,1,6,1,7,1,13,1,29,1,7,1,6,3,29,1,7,1,6,3,29,1,7,1,6,1,29,1,7,2,6,1,13,1,29,1,13,1,7,3,6,1,7,1,6,1,13,1,7,1,13,1,9,1,8,2,13,1,8,1,9,1,13,1,9,2,8,1,9,1,10,1,9,2,8,1,9,1,11,2,9,2,11,2,10,1,11,1,10,1,9,1,11,1,9,2,11,3,16,1,9,1,16,1,11,3,9,2,13,1,10,1,9,2,8,2,7,1,8,1,9,1,8,1,9,2,13,1,8,1,13,1,9,1,13,1,8,2,13,1,9,1,13,1,7,1,11,1,8,1,9,3,8,1,11,1,10,1,11,1,16,1,11,2,9,1,11,1,9,2,11,1,9,2,11,5,9,2,16,1,9,1,11,3,9,2,11,2,9,1,16,1,17,1,16,2,13,1,33,1,5,18,33,1,28,2,13,2,6,1,13,1,9,1,13,1,6,1,13,2,6,1,29,1,28,2,30,1,28,1,30,2,13,1,6,1,7,1,8,1,13,3,8,1,30,1,6,3,7,1,13,1,6,1,30,1,13,1,9,2,11,1,17,1,11,1,9,3,8,3,9,2,8,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,2,8,1,9,1,13,3,8,1,9,1,10,1,9,1,11,1,10,1,11,1,10,3,9,3,12,1,11,1,9,3,8,2,13,1,8,1,9,1,13,3,9,1,8,1,9,2,13,2,9,1,8,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,10,2,11,4,17,25,11,3,12,1,11,1,17,9,12,1,17,2,12,1,17,2,11,1,17,1,12,1,11,1,12,2,11,1,17,1,9,1,12,1,17,1,12,1,11,4,9,4,11,1,10,1,11,1,10,1,9,1,17,1,12,1,11,1,10,1,8,1,12,2,9,1,12,1,9,2,12,1,11,1,17,1,12,1,10,1,11,1,10,1,9,1,17,1,10,1,9,1,8,3,24,1,13,1,10,1,9,1,24,1,11,1,17,1,12,1,17,1,12,1,17,1,10,1,17,1,12,1,17,2,12,1,10,1,17,1,11,1,10,1,12,2,17,1,11,1,10,2,12,1,9,1,10,1,9,1,17,1,9,1,12,1,17,1,9,1,11,1,12,1,11,2,17,1,11,1,17,2,12,1,17,5,11,1,12,1,17,18,16,1,17,2,16,1,17,2,16,1,17,2,11,1,16,1,17,2,12,1,11,1,12,1,11,2,17,1,11,1,12,1,11,2,10,1,9,1,28,4,6,1,5,23,28,13,9,1,17,1,14,1,11,1,8,1,9,2,13,1,6,2,30,1,29,1,6,1,7,1,8,1,9,1,17,2,28,6,9,1,17,1,24,1,29,1,6,1,29,1,30,1,28,26,30,1,17,1,16,1,9,2,30,1,13,1,9,1,11,2,8,1,13,1,30,1,28,4,}, {6,1,24,1,17,1,11,2,9,1,30,1,7,2,13,1,9,1,24,1,28,22,30,1,28,11,30,1,6,2,7,1,29,1,13,1,24,1,8,3,24,1,17,1,10,1,6,1,30,1,28,2,30,1,6,1,12,1,17,1,7,1,6,2,13,1,24,1,9,1,12,1,8,1,24,1,13,1,28,1,8,1,14,1,6,3,13,1,6,1,29,1,16,1,17,1,11,1,16,1,12,1,9,3,13,1,6,1,8,1,14,1,24,1,12,1,10,1,17,1,12,2,17,1,16,1,6,1,28,1,6,1,28,3,30,1,28,1,30,1,28,2,29,1,30,1,28,2,6,1,29,1,28,3,29,1,28,1,6,1,30,1,6,2,7,1,9,1,11,1,9,1,17,2,10,1,6,1,29,1,28,1,6,1,29,2,28,1,9,1,11,1,16,1,11,1,12,1,8,1,13,1,8,2,24,2,10,1,24,2,10,1,9,1,17,1,14,1,12,1,30,1,28,13,30,1,12,1,11,1,16,1,17,1,11,1,16,2,17,8,16,1,10,1,13,1,7,1,29,1,28,1,30,1,28,42,29,1,28,1,29,1,28,1,6,1,28,1,29,1,30,1,6,3,24,1,10,1,24,1,9,1,10,1,8,1,12,1,10,1,9,1,24,1,13,1,10,1,8,2,13,1,7,1,8,1,24,1,7,1,24,1,13,2,8,1,7,2,13,1,8,1,6,1,13,1,8,1,10,1,9,1,12,1,10,1,24,2,10,1,6,1,24,1,6,1,8,1,29,1,13,1,7,1,30,1,6,1,30,1,29,3,30,1,28,10,30,1,28,9,29,1,28,1,6,1,28,3,6,1,29,1,30,1,28,1,6,1,30,1,6,1,28,2,6,2,7,1,29,1,6,1,7,1,29,2,13,1,30,2,6,1,28,1,6,1,30,1,7,1,28,1,29,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,7,29,1,30,1,28,1,30,1,28,1,30,2,28,7,30,1,28,4,30,1,28,5,29,1,28,44,29,2,6,1,30,1,7,1,12,1,17,2,12,1,10,2,9,1,11,1,10,1,9,1,12,1,10,3,9,1,13,1,6,1,28,24,30,1,28,6,30,1,28,1,6,2,29,1,30,1,7,1,28,1,30,2,7,1,13,1,6,1,30,1,6,1,13,1,6,1,7,1,6,3,13,1,8,3,7,1,24,1,13,1,24,1,13,1,7,1,24,1,6,1,10,1,8,2,13,1,10,1,13,1,10,1,13,1,24,1,8,1,24,2,9,1,24,3,10,1,8,1,10,1,8,1,10,1,9,1,10,1,17,1,12,1,8,1,11,1,9,1,8,1,9,1,24,1,9,1,11,2,12,4,8,2,29,1,7,1,6,1,29,1,28,53,6,1,28,2,30,1,29,1,30,1,29,1,13,1,6,1,13,1,7,1,8,1,13,1,24,1,8,1,7,1,8,1,24,1,7,1,25,1,30,1,6,1,7,1,25,1,6,1,8,1,6,1,25,1,28,1,25,1,6,1,26,1,25,1,6,3,25,1,8,1,7,1,24,2,6,1,10,2,24,1,17,1,12,1,17,2,8,1,30,2,29,1,6,1,28,1,30,1,28,5,30,2,29,1,28,1,29,1,28,2,29,1,28,1,29,1,30,1,29,1,28,2,30,1,28,8,30,2,28,3,6,1,28,28,29,1,30,2,13,1,7,1,13,1,24,1,8,1,13,1,12,1,10,1,12,1,8,1,9,1,12,1,9,2,17,1,12,2,8,1,9,1,8,1,10,1,6,1,8,1,7,1,13,1,11,1,17,1,11,1,16,1,17,1,16,3,11,1,9,1,11,1,16,1,11,3,9,4,11,1,9,1,16,1,9,1,16,1,11,1,16,1,11,2,9,1,11,1,16,1,9,1,11,2,16,1,9,1,16,3,11,5,9,1,16,2,9,3,11,2,9,1,11,1,9,1,11,1,9,5,11,1,8,1,16,1,9,1,11,2,9,4,13,1,8,1,9,2,8,1,9,3,13,1,9,4,8,1,13,6,9,3,8,1,11,1,9,2,10,1,11,1,9,2,16,1,9,1,11,3,13,1,9,2,13,1,9,1,8,1,9,1,11,1,10,1,9,2,11,1,9,5,13,1,9,4,13,2,9,1,13,3,9,2,13,1,9,3,8,1,6,1,13,1,9,1,13,4,9,1,13,5,8,1,13,1,9,2,13,5,6,1,13,1,6,1,13,2,7,1,9,1,8,1,13,5,8,1,7,1,13,2,8,1,13,2,8,1,13,1,8,1,13,3,9,2,8,1,13,2,9,2,11,1,9,2,11,1,16,1,11,2,10,1,9,1,16,1,9,3,10,1,11,2,9,3,10,1,9,2,11,2,13,2,9,1,13,1,9,2,8,2,9,1,8,1,13,7,28,2,33,50,5,373,30,1,28,3,29,1,13,2,6,1,7,1,13,1,8,1,12,1,6,1,28,11,30,2,8,1,28,1,30,2,28,2,6,1,28,1,29,1,28,3,30,1,28,1,30,1,6,4,29,1,28,1,6,1,28,1,7,1,6,1,30,1,29,2,30,1,7,1,29,1,6,5,7,1,13,1,6,3,7,1,13,1,8,1,13,3,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,4,29,2,6,1,28,1,29,1,28,1,30,1,28,1,29,1,28,1,29,1,30,1,29,1,30,1,28,1,29,2,30,1,28,1,13,1,6,1,29,1,6,2,13,1,29,2,6,1,7,2,30,1,8,1,13,1,8,1,7,2,13,1,6,1,13,1,8,1,7,1,8,1,13,2,8,2,13,1,8,1,7,1,24,1,6,1,13,2,29,1,6,1,13,1,6,1,8,1,13,2,30,1,6,1,13,3,6,1,13,12,9,1,11,1,9,1,11,1,16,2,9,1,16,3,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,6,16,1,9,1,13,1,6,2,30,1,13,1,6,4,30,1,6,4,13,2,9,1,11,1,16,1,17,2,16,2,17,1,16,1,17,6,16,2,11,1,9,1,13,2,6,1,13,1,6,2,28,1,6,1,13,3,6,4,13,3,9,1,13,1,16,1,11,2,10,1,11,1,16,4,13,1,8,1,10,1,30,1,6,1,13,1,6,1,8,1,28,2,6,2,13,1,28,1,30,1,28,2,6,1,13,1,6,1,11,3,17,3,9,1,16,1,10,1,17,1,11,1,17,4,16,1,17,2,16,2,17,7,16,2,17,6,8,1,11,1,13,1,8,1,6,2,13,1,8,1,13,1,16,2,17,9,16,1,17,1,10,2,12,1,11,1,9,1,8,1,12,1,9,1,10,1,24,1,12,1,17,1,9,1,17,1,12,1,9,1,17,1,8,1,17,1,10,1,12,2,9,2,13,2,8,1,29,1,6,2,29,1,7,1,29,4,30,1,6,1,30,1,6,1,29,2,30,1,6,1,30,1,6,2,7,1,13,1,6,1,30,1,6,2,29,1,6,1,13,2,29,1,6,2,13,1,29,1,7,2,29,1,7,2,6,2,7,1,29,1,6,1,7,2,13,1,6,2,13,1,6,3,8,1,6,3,8,1,7,1,8,1,13,2,8,3,13,2,8,1,24,1,9,6,11,1,9,9,11,2,9,1,10,1,16,2,17,1,16,1,11,1,9,2,11,2,10,1,9,6,8,4,13,1,8,1,6,1,7,1,13,1,8,3,13,2,9,1,13,1,10,1,8,2,13,1,8,1,9,1,8,2,10,2,16,1,13,1,9,1,11,1,9,1,16,1,10,1,16,1,11,4,9,1,11,1,16,1,10,1,16,1,11,1,9,1,10,1,11,2,9,2,11,6,16,1,17,1,16,2,5,18,33,2,28,1,30,1,6,1,13,1,8,3,13,3,29,2,30,1,28,1,30,1,28,2,30,1,13,3,9,1,13,1,8,1,13,1,29,2,13,7,11,3,10,2,8,1,11,1,9,7,13,1,9,1,8,2,9,1,13,2,8,2,13,1,8,1,9,1,8,2,13,2,8,1,11,1,9,2,8,1,10,1,11,2,10,1,11,1,10,1,9,1,10,1,11,2,12,1,9,2,10,1,8,1,10,1,8,1,9,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,13,2,9,1,8,1,13,5,8,2,11,1,12,1,11,1,17,1,12,1,17,7,11,2,17,12,16,1,17,2,11,1,17,1,11,1,12,1,17,2,11,2,17,1,11,1,17,3,11,1,17,6,11,1,17,1,12,2,17,1,11,1,17,1,12,1,10,1,11,3,9,1,17,1,11,2,10,1,9,3,10,1,8,1,24,1,11,1,9,1,11,1,17,1,10,1,17,1,9,2,12,1,9,4,17,1,12,1,17,1,12,1,17,1,10,1,17,1,9,1,17,1,9,1,11,1,9,2,24,1,11,1,13,3,9,1,11,1,12,3,10,1,17,1,11,1,17,4,11,1,17,1,9,1,12,1,11,1,9,1,11,1,10,1,9,1,8,2,11,1,9,1,10,1,9,1,10,1,11,1,13,1,10,1,17,1,10,1,12,1,11,1,10,1,9,1,17,2,12,1,9,1,10,1,17,1,11,1,9,3,17,1,11,1,9,1,8,1,11,2,17,18,16,1,17,7,11,1,12,1,11,1,12,1,17,1,11,5,9,1,13,1,28,2,6,1,33,1,5,24,28,13,9,1,17,3,9,1,10,1,8,1,30,2,6,1,30,3,13,1,8,1,10,1,17,1,12,1,28,6,11,1,17,1,9,1,28,1,8,1,6,1,28,12,30,1,28,14,6,1,17,1,11,1,9,1,8,1,13,1,28,1,11,1,9,1,10,1,8,1,13,1,29,1,28,4,}, {13,1,9,1,17,1,12,1,9,1,10,1,13,1,6,1,7,1,8,1,10,1,24,1,29,1,28,18,30,1,28,14,6,1,29,1,7,1,30,1,29,1,7,1,13,1,7,1,24,1,8,1,13,1,14,1,12,1,6,2,30,1,28,3,9,1,17,1,24,1,13,2,7,1,13,1,8,2,13,1,8,1,7,1,29,1,15,2,8,1,29,1,6,1,29,1,6,1,28,1,17,1,16,1,10,1,11,1,10,1,24,1,10,1,9,1,8,2,9,1,12,1,15,1,9,1,12,1,10,1,17,1,11,1,17,1,10,1,13,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,29,1,30,1,6,1,30,1,29,1,28,1,13,1,6,2,24,1,9,1,24,1,10,1,15,2,13,1,30,1,6,1,30,1,7,1,30,2,9,1,16,1,12,1,11,1,17,1,13,1,6,1,13,1,6,1,8,1,24,2,10,2,9,2,17,1,14,1,15,1,28,1,29,1,28,12,30,1,9,1,17,2,16,1,17,12,9,1,13,1,6,1,30,1,28,45,30,1,28,4,30,1,28,1,29,3,30,1,28,1,7,1,8,1,10,1,9,1,12,1,9,2,24,1,9,1,10,1,8,1,24,1,6,1,10,1,8,1,13,1,24,1,8,2,24,2,7,1,13,1,8,1,7,1,13,2,8,4,24,1,10,2,17,1,8,1,24,1,8,2,24,1,6,1,13,1,7,2,29,1,30,1,29,1,28,1,29,1,30,1,28,26,29,1,30,2,28,1,13,1,30,1,6,1,29,2,6,1,13,2,6,1,13,1,6,1,30,1,6,1,29,1,6,2,30,1,6,2,30,1,28,2,30,1,6,1,28,1,30,1,29,1,28,2,6,1,30,2,28,1,29,1,28,8,27,1,30,1,28,1,29,1,28,9,30,2,28,59,30,1,6,2,7,2,6,1,7,1,8,1,13,1,24,1,13,1,8,1,9,2,13,1,28,26,29,1,28,1,29,2,30,2,29,1,28,2,29,1,30,1,29,1,6,1,30,1,6,1,13,1,29,1,13,1,6,1,13,2,7,1,13,1,7,1,8,1,13,1,6,1,13,1,8,1,13,1,6,1,8,2,13,1,7,1,6,1,8,1,13,1,24,1,13,1,12,1,10,1,13,1,24,1,8,2,24,2,9,1,13,1,8,1,24,1,8,4,24,1,10,3,17,1,10,1,11,1,12,1,11,1,10,1,8,1,24,1,9,1,8,1,12,1,17,2,12,1,17,1,9,1,8,1,7,1,13,1,29,1,30,2,28,52,30,1,7,1,28,1,30,2,6,1,30,1,13,1,6,1,8,1,13,2,8,2,13,1,9,1,13,2,8,2,6,1,24,1,7,4,6,1,29,1,6,3,29,1,25,2,6,2,25,3,8,1,7,1,13,1,24,1,8,1,12,1,9,2,17,1,9,1,17,2,28,11,30,1,28,2,30,1,28,1,30,1,6,1,28,3,30,1,28,11,6,1,28,2,6,1,30,3,28,27,30,1,28,1,6,1,13,1,7,1,8,1,6,1,12,1,24,1,8,1,24,1,10,2,9,1,12,1,17,1,11,1,9,1,8,1,9,2,12,1,8,1,9,1,13,1,7,1,13,2,10,1,16,4,11,3,9,1,11,1,16,1,9,1,11,1,9,1,11,2,13,1,11,1,9,2,11,3,16,3,11,1,16,1,11,4,16,1,9,1,16,2,11,1,9,1,16,1,11,2,16,1,11,2,16,2,11,1,16,1,9,1,16,1,11,1,16,1,11,1,16,1,10,1,9,1,11,4,9,1,16,1,9,1,11,4,16,1,9,5,16,1,9,2,13,1,11,1,8,1,9,1,13,3,9,1,13,1,6,1,13,1,9,2,13,1,9,1,13,1,9,3,11,1,9,2,8,1,9,4,11,1,16,2,9,2,13,3,8,1,10,1,9,6,13,2,9,2,13,1,9,2,8,1,13,2,9,3,13,3,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,13,5,9,1,13,7,9,1,13,1,9,2,13,2,8,1,13,1,6,1,7,1,13,2,7,1,13,4,8,1,13,1,8,1,9,1,13,2,8,1,9,1,13,3,9,1,13,1,8,2,13,1,9,2,13,1,8,1,9,4,11,1,16,1,9,1,16,1,11,1,9,1,8,1,16,2,9,1,11,1,9,8,8,2,9,2,13,1,9,2,8,1,9,3,13,2,9,1,8,1,13,1,6,1,13,1,30,1,28,2,33,50,5,375,13,4,6,1,13,1,6,2,17,1,28,12,30,1,28,1,13,1,30,2,28,5,30,1,29,2,28,2,6,2,29,1,30,1,29,1,6,1,30,1,29,1,28,2,29,1,30,1,28,1,30,6,7,1,30,1,6,6,13,3,8,1,13,1,7,2,13,1,29,1,30,2,28,2,30,1,28,3,29,1,28,3,30,2,29,1,28,1,29,1,28,3,30,3,28,1,30,3,28,1,29,2,30,1,28,2,30,2,6,1,13,1,6,2,29,1,13,1,29,1,7,2,13,1,7,1,13,1,29,1,7,1,6,1,13,1,6,1,7,1,13,1,7,1,13,1,7,1,8,1,13,2,8,2,13,1,7,1,13,1,7,1,13,2,8,1,7,2,6,1,13,2,29,1,8,1,6,2,29,2,6,2,13,1,6,1,29,1,13,3,9,1,13,2,6,1,9,1,13,4,16,1,9,1,11,2,16,2,11,1,16,7,17,4,16,3,17,1,16,1,17,1,16,1,17,2,9,1,6,1,13,1,6,2,30,1,6,2,13,1,6,5,13,1,6,2,9,4,11,1,9,1,16,2,14,1,17,1,16,1,17,2,16,1,17,2,16,2,9,2,13,1,6,1,13,1,6,1,30,2,6,1,28,1,6,2,30,1,6,3,13,4,30,1,16,2,11,1,17,1,16,1,17,2,9,1,16,1,11,1,9,1,13,1,6,1,13,7,6,1,13,2,6,2,30,1,29,1,30,1,28,1,6,2,13,1,9,1,16,2,17,3,16,3,17,1,16,1,17,1,16,1,17,12,16,2,9,1,13,3,6,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,11,1,17,6,11,1,12,1,11,1,10,1,17,1,9,1,10,1,12,1,17,1,12,1,10,1,8,1,11,2,9,1,11,1,17,1,9,1,17,1,10,1,17,1,12,1,9,1,24,1,10,1,8,1,24,1,13,2,6,1,29,1,6,2,29,1,6,1,29,1,7,1,6,2,7,1,6,1,29,1,6,1,7,2,29,1,13,1,6,2,29,1,7,1,28,1,6,1,30,1,6,4,13,1,30,1,6,8,30,1,29,1,7,2,6,3,7,1,6,1,7,1,6,3,7,1,13,1,6,1,7,1,6,1,13,2,6,1,7,1,24,1,13,2,8,1,13,2,8,1,9,1,8,2,13,1,11,1,13,1,9,6,11,1,8,1,11,1,9,1,10,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,16,2,11,1,9,1,11,1,10,1,9,3,11,1,9,1,10,1,9,2,10,1,13,1,9,1,8,1,13,1,8,1,9,1,7,1,11,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,13,2,8,2,13,2,9,1,8,1,9,1,11,2,9,4,11,5,9,1,10,1,11,2,16,1,11,2,9,1,11,3,9,1,16,1,10,1,9,2,16,1,11,1,9,1,11,2,10,1,11,1,17,3,5,16,33,3,6,1,13,1,29,1,13,1,9,1,13,2,7,2,28,5,30,1,7,1,13,2,8,2,13,3,30,1,29,2,13,3,8,1,7,1,13,1,9,1,17,1,11,4,9,4,10,1,9,2,10,1,13,6,6,1,8,1,13,4,9,1,13,4,9,2,11,1,10,2,9,2,11,3,10,1,9,1,11,1,8,1,10,1,9,7,8,2,9,1,13,1,9,2,13,3,8,2,13,2,9,1,8,1,13,1,9,1,8,1,13,2,9,3,12,1,10,1,11,1,17,12,16,1,17,11,12,1,11,1,17,1,11,1,17,2,12,1,17,1,11,1,17,4,12,1,11,1,17,5,11,1,12,1,17,4,11,2,12,1,11,1,17,2,12,1,10,1,17,1,9,1,11,1,9,1,8,1,10,3,24,1,10,1,8,1,10,1,24,1,12,1,9,1,12,2,8,1,24,1,12,1,10,2,11,2,24,1,10,1,11,1,17,2,9,2,10,1,12,1,8,1,10,1,9,1,10,1,30,1,17,1,10,1,11,2,12,2,9,1,17,1,12,1,17,3,12,1,10,1,17,2,12,1,17,1,11,1,9,2,12,1,8,2,9,1,10,1,11,1,9,1,11,1,9,2,11,1,17,1,9,2,11,1,17,1,10,1,12,1,10,1,17,1,12,1,9,1,17,2,9,1,17,1,11,1,9,1,11,1,17,1,9,3,11,2,17,15,16,2,17,1,11,1,17,2,11,1,12,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,12,1,9,1,11,2,13,1,6,1,28,1,33,1,5,25,6,1,28,12,30,1,9,1,17,1,16,1,11,1,9,2,7,1,28,2,13,1,30,1,29,2,6,1,8,1,16,1,17,1,10,1,7,1,28,5,17,1,9,2,29,1,30,2,6,1,28,26,7,1,17,1,12,1,9,1,8,1,6,2,9,1,11,2,24,1,8,1,30,1,29,1,28,2,30,1,}, {13,1,9,1,17,1,11,1,10,1,11,1,8,2,13,1,9,2,24,1,28,23,30,1,28,10,30,1,29,1,30,1,6,2,8,1,9,1,24,1,9,3,17,1,12,1,7,1,30,1,29,1,30,1,28,2,13,1,17,1,8,1,7,1,6,1,13,1,7,1,13,1,8,3,6,1,29,1,10,1,14,1,8,1,7,2,29,1,6,2,16,1,17,1,12,2,9,3,24,1,9,1,8,1,10,1,17,1,12,2,10,1,12,1,17,1,9,1,17,1,16,1,13,1,29,1,28,2,29,1,30,2,28,1,30,1,28,1,30,3,28,2,6,1,28,2,30,1,6,1,28,1,30,1,28,1,6,1,29,1,28,1,13,2,12,1,24,1,12,1,14,1,9,1,7,2,30,3,28,1,30,1,24,1,12,1,17,3,24,1,8,1,24,1,29,1,9,2,24,1,8,1,9,2,8,1,15,1,14,1,8,1,28,1,30,1,28,12,7,1,11,1,17,1,16,1,17,13,13,3,6,1,30,1,28,52,29,1,6,2,30,1,7,1,8,2,12,1,24,1,10,1,9,1,10,1,9,1,10,1,24,2,10,1,13,1,9,2,24,1,7,1,13,1,8,2,24,2,8,1,13,1,24,1,7,1,24,1,13,1,8,1,24,1,8,3,12,1,10,1,8,1,24,1,13,1,9,1,13,1,7,1,6,4,28,1,30,2,29,1,30,1,29,1,30,1,29,1,30,1,28,15,30,1,28,2,29,1,28,2,29,5,6,1,29,1,6,3,7,1,6,1,28,1,8,1,6,1,7,1,6,2,8,1,28,1,29,1,30,2,28,2,6,1,29,1,28,4,29,1,28,1,29,1,28,2,6,1,28,1,30,1,28,2,30,2,28,1,30,1,28,3,30,1,28,72,29,1,30,1,28,2,29,1,6,3,7,1,8,2,13,2,8,1,6,1,30,1,28,22,29,1,28,1,30,2,28,3,29,1,28,1,29,1,6,1,30,1,6,1,28,1,29,1,30,1,28,1,29,1,6,3,29,2,7,1,28,1,8,1,6,4,13,1,8,1,6,1,13,1,6,1,24,1,8,1,24,1,13,2,8,1,24,1,7,1,24,1,13,1,24,1,9,1,6,1,9,1,8,1,13,1,8,1,10,1,13,1,24,1,8,1,24,1,8,1,24,2,10,1,12,1,11,1,9,1,10,1,17,1,12,1,10,2,9,1,11,1,24,1,10,1,12,1,17,1,10,3,8,1,13,2,30,1,6,1,28,53,13,1,28,3,30,1,29,3,8,1,13,3,8,1,24,2,13,1,24,1,7,1,6,1,8,2,7,1,6,1,8,1,13,1,6,1,7,1,8,1,7,1,6,1,29,1,6,1,29,1,7,1,6,1,30,1,24,1,6,1,8,1,25,1,6,1,7,1,24,1,8,1,12,1,10,1,9,1,11,1,17,3,6,1,28,7,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,11,29,1,30,1,28,3,7,1,29,1,30,1,28,28,30,1,6,4,13,1,24,1,8,1,24,1,9,1,8,1,12,2,9,1,12,2,10,1,17,1,11,1,24,1,9,3,10,1,7,1,13,1,8,1,13,1,16,3,10,1,11,2,16,2,9,1,11,1,16,1,11,1,10,1,16,1,11,1,10,1,9,1,11,1,9,2,11,1,9,2,11,4,9,1,11,5,9,1,16,1,9,1,16,1,11,1,16,1,11,1,16,1,9,2,16,1,9,1,11,3,9,1,16,1,10,1,11,5,9,1,16,1,11,1,9,1,11,1,17,1,11,1,9,1,11,1,16,1,9,1,10,1,11,1,9,5,11,1,9,1,10,1,11,1,9,1,10,1,13,1,8,1,9,1,13,1,9,1,8,2,9,1,13,1,9,3,13,1,8,1,9,1,16,1,9,4,11,1,9,2,11,1,13,5,8,1,13,1,9,2,8,1,9,1,13,1,9,3,13,1,9,1,13,1,10,1,9,2,8,2,9,2,13,2,8,1,13,1,9,1,13,2,9,2,8,1,9,1,13,1,8,1,9,2,13,1,9,1,8,1,13,1,9,3,13,5,6,2,9,1,13,4,8,1,13,3,8,1,6,1,13,8,7,1,13,4,8,1,13,1,8,1,13,2,9,1,13,1,8,2,9,1,13,3,9,4,8,3,9,1,16,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,16,1,9,1,11,1,9,2,11,1,9,7,13,3,9,1,10,1,9,3,13,7,30,1,28,2,6,1,33,49,5,379,6,1,28,2,12,1,28,14,30,1,6,1,28,4,30,1,28,3,30,1,29,1,28,3,13,1,30,3,6,1,30,2,28,4,30,3,6,1,28,1,30,1,28,1,30,1,28,1,6,1,13,1,30,1,13,1,6,1,13,1,29,1,8,1,13,3,6,1,13,1,29,2,30,1,28,2,30,2,28,4,30,3,28,1,6,1,28,1,30,1,28,1,6,1,29,2,30,2,29,1,28,2,6,1,30,1,28,1,29,2,6,1,29,1,6,1,30,1,28,1,6,1,30,1,29,2,6,2,30,1,6,1,7,1,6,4,30,1,6,2,7,1,30,1,7,1,29,1,13,2,8,1,29,1,13,3,7,1,6,1,13,1,7,2,8,1,29,1,6,1,13,2,7,2,13,1,7,1,6,1,13,1,6,1,13,1,6,2,8,1,30,1,13,1,6,1,13,2,6,1,13,1,6,2,13,5,16,1,11,1,16,1,11,2,9,2,16,1,11,1,16,6,17,2,16,3,11,1,17,2,16,3,17,1,16,1,9,1,13,4,6,1,13,1,6,1,13,4,30,1,13,1,30,1,6,4,13,3,9,1,16,8,17,3,16,1,11,2,13,3,30,1,6,1,28,1,6,3,13,1,6,1,13,1,6,1,13,2,6,1,28,1,16,1,9,1,13,1,9,2,16,1,17,1,16,2,11,1,9,2,16,1,9,1,16,1,13,2,9,1,13,1,6,1,13,1,9,2,11,1,9,2,8,1,13,2,8,1,6,1,13,3,6,1,13,2,8,1,13,1,9,4,11,1,9,1,16,3,11,1,16,3,13,1,9,1,11,1,9,1,13,3,6,1,13,1,6,1,13,4,6,3,30,2,28,4,30,1,16,1,10,1,16,2,17,2,10,1,12,2,9,1,11,1,24,1,9,1,12,1,10,1,9,1,12,1,17,2,10,1,17,1,12,1,11,1,17,1,12,3,11,1,13,1,24,1,7,1,24,1,6,1,7,1,6,4,30,1,6,1,30,1,29,2,6,1,29,1,6,1,29,1,6,4,29,1,7,1,6,1,30,1,7,1,6,1,7,1,6,2,29,2,7,1,6,1,13,1,6,2,30,1,6,1,29,1,7,1,6,1,29,2,7,2,29,2,13,1,6,1,7,1,29,1,6,2,13,2,29,1,6,2,7,2,13,1,6,2,7,3,8,1,24,1,13,1,8,4,24,1,9,4,13,2,9,1,10,1,8,1,9,5,8,1,9,1,11,1,10,1,11,1,10,1,11,5,10,1,13,1,16,1,11,1,9,1,10,1,9,1,8,1,9,3,13,1,9,1,13,2,8,1,13,1,8,2,11,1,13,1,8,1,13,1,8,1,13,1,8,2,9,1,13,2,9,1,13,1,9,1,7,1,8,2,9,5,11,1,9,1,11,1,9,4,11,2,9,1,11,1,9,1,11,2,10,1,16,1,11,3,10,1,11,1,9,1,8,1,11,4,9,1,11,3,17,2,16,1,5,14,33,4,28,1,6,1,13,3,6,1,13,1,7,1,30,1,13,1,7,1,6,1,13,1,8,1,13,2,8,1,13,3,7,1,30,1,29,1,6,1,13,2,6,1,7,1,6,2,8,1,11,5,9,1,11,1,9,1,11,1,12,2,10,2,8,1,13,2,9,1,13,1,6,1,13,2,9,1,13,2,9,1,8,2,9,1,13,2,8,3,9,1,17,1,9,3,10,3,9,1,11,2,9,1,10,1,11,1,9,1,10,1,13,1,10,1,9,1,8,3,11,1,13,1,11,1,9,1,8,1,13,2,8,4,13,2,8,1,13,1,8,1,13,4,8,1,10,2,12,1,17,1,12,1,9,1,12,2,17,11,16,1,17,7,12,1,17,1,11,3,17,1,11,5,17,1,12,1,11,1,12,2,11,1,12,1,11,4,17,5,11,2,17,1,11,1,17,1,12,1,11,1,17,1,12,1,11,1,9,1,10,2,12,1,9,2,12,1,9,2,10,2,8,1,17,1,12,1,9,5,10,1,17,1,12,4,17,1,11,1,12,1,9,1,12,1,10,1,9,1,10,2,11,1,9,1,17,1,9,2,12,1,9,1,17,1,12,1,9,3,17,1,11,1,12,2,17,1,12,1,17,2,10,1,11,2,9,2,13,1,7,1,6,1,10,1,9,2,12,1,11,1,9,2,12,2,17,1,11,1,17,1,8,1,17,1,10,1,11,1,12,1,17,2,10,2,11,1,12,3,17,1,12,1,9,1,11,2,17,1,11,1,17,7,11,2,17,7,11,1,17,3,12,2,11,3,12,1,11,1,12,1,9,1,10,1,13,1,6,1,30,1,33,1,5,26,28,14,8,1,16,1,17,1,9,4,6,2,30,1,28,1,29,1,6,2,8,1,12,1,17,1,9,1,30,1,28,5,17,1,12,1,13,2,30,1,28,1,30,1,28,8,30,1,28,17,8,1,17,1,16,1,13,1,8,2,6,1,10,1,11,1,10,1,8,1,6,2,28,1,30,3,}, {13,1,11,1,17,1,12,1,17,1,12,1,9,1,7,1,9,1,24,1,9,1,10,1,13,1,30,1,28,32,6,1,29,1,30,2,29,1,13,2,24,2,13,1,9,1,17,1,9,1,7,1,29,1,30,1,6,1,29,1,28,1,7,1,17,1,9,1,13,1,8,1,13,1,24,1,29,1,17,1,9,1,8,1,6,1,29,1,9,1,15,1,24,1,6,1,29,1,13,1,30,1,6,1,9,1,16,2,11,1,9,2,11,1,9,1,13,1,24,2,15,1,12,1,17,1,10,1,12,1,17,1,10,1,12,1,17,1,8,1,28,1,30,2,28,4,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,3,6,1,30,4,6,1,28,1,6,1,13,1,8,1,10,1,9,2,14,1,9,1,7,1,29,3,30,2,6,1,24,1,12,1,17,2,11,1,8,1,13,1,11,1,13,1,24,2,9,1,8,1,24,1,9,2,15,1,14,1,8,1,30,1,28,13,13,1,17,16,8,2,6,1,30,1,28,58,13,1,6,1,24,2,10,2,12,1,9,2,24,3,9,1,8,1,10,1,24,1,13,1,8,1,13,2,10,1,8,1,24,2,8,2,24,1,8,1,13,1,24,1,13,1,10,1,9,1,10,1,24,1,10,2,12,2,6,1,8,1,7,3,6,1,28,1,13,1,28,1,30,1,29,1,30,1,6,1,29,1,28,3,30,1,28,15,30,1,28,2,29,1,6,3,29,2,8,1,29,1,6,2,7,2,29,1,13,1,29,1,7,1,6,3,7,1,6,1,28,1,29,2,28,1,30,2,28,1,29,1,28,6,30,1,29,1,28,1,29,1,28,1,30,1,28,7,29,2,28,1,29,1,28,1,30,1,28,7,30,1,28,7,30,1,28,58,29,1,30,1,28,2,6,2,29,1,13,2,30,1,29,1,28,19,6,1,30,1,28,5,29,1,28,2,29,1,28,1,30,1,6,1,28,1,6,1,30,1,6,1,28,1,29,2,6,1,29,1,8,1,6,1,7,1,8,1,7,1,13,2,8,1,7,1,13,1,29,1,6,1,7,3,13,1,24,1,13,2,7,1,8,1,13,1,24,1,9,1,8,1,10,1,8,1,9,1,8,1,10,1,24,1,13,1,10,1,6,1,12,1,8,1,9,1,24,1,9,1,10,2,17,2,11,2,13,1,17,1,9,1,17,1,8,2,9,1,17,1,12,2,10,1,11,1,8,1,13,2,29,1,28,52,30,1,7,1,28,1,30,1,29,1,30,1,6,5,8,1,7,1,8,2,10,1,24,1,8,1,24,1,6,1,7,1,6,1,8,1,29,1,7,1,30,1,13,1,7,1,6,1,13,1,29,1,8,1,6,1,7,1,6,1,25,1,6,1,25,2,26,1,8,1,7,1,24,2,7,2,13,1,17,1,10,1,17,3,30,1,28,1,30,1,28,6,30,1,28,1,13,1,28,1,29,1,30,2,28,1,30,1,28,18,30,1,28,29,29,1,6,3,13,1,6,1,13,1,8,1,9,1,8,1,10,1,9,2,17,1,9,1,10,1,11,1,9,1,10,1,11,1,9,1,12,1,9,2,13,2,6,1,9,2,17,1,16,1,11,4,9,1,11,3,16,2,10,1,11,1,9,2,10,1,11,4,16,1,9,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,10,1,11,1,16,2,11,1,16,2,11,6,9,1,11,2,10,1,11,1,16,2,9,1,16,3,9,1,11,1,9,1,16,1,10,1,11,1,16,1,11,1,9,2,11,1,9,1,13,1,16,1,9,3,16,1,11,1,10,1,9,6,13,1,11,1,13,3,9,2,11,1,8,1,9,1,11,2,13,1,9,3,8,1,11,1,9,3,13,1,9,1,13,1,9,1,8,2,9,1,13,1,9,1,13,1,9,2,13,1,9,2,13,3,9,2,8,1,9,2,13,1,9,1,13,1,9,3,8,1,9,1,13,2,9,2,8,1,13,2,9,2,13,2,8,1,13,2,9,1,13,3,8,1,13,1,6,1,13,2,6,1,13,2,10,1,7,1,8,2,13,2,8,1,13,2,8,2,13,1,9,1,13,2,9,1,13,3,8,1,13,5,11,1,13,2,9,1,13,2,9,1,8,1,9,1,13,2,8,2,9,4,11,2,9,1,16,1,9,2,11,2,9,3,11,1,9,1,8,1,9,1,13,1,11,1,9,2,10,1,9,2,13,1,9,1,11,1,8,1,9,1,13,1,9,1,13,4,9,1,6,2,7,1,13,1,28,2,30,1,33,48,5,380,30,1,28,1,9,1,28,14,30,1,29,1,28,6,30,1,28,2,30,3,29,1,28,2,29,1,30,2,28,1,30,1,28,5,30,1,28,2,30,1,29,1,30,3,6,1,29,1,6,3,7,1,6,1,13,2,6,1,13,2,6,1,7,1,29,1,6,1,13,1,30,1,28,1,30,1,28,7,30,2,28,1,30,1,29,1,30,3,28,1,30,1,6,2,28,8,30,2,29,2,28,1,7,1,29,2,6,1,7,1,30,1,6,2,29,1,6,4,29,1,6,1,30,1,6,1,7,2,6,1,13,2,6,1,29,1,13,1,6,1,13,1,7,1,13,2,7,1,6,2,13,1,6,3,13,2,6,1,29,1,7,1,6,1,30,1,28,1,13,2,30,1,13,1,8,1,13,2,6,1,13,2,6,1,13,2,8,1,9,2,16,1,11,1,9,1,16,3,9,1,11,1,16,1,11,1,16,6,17,1,16,4,17,1,16,1,17,3,16,6,9,2,6,1,13,4,6,1,30,1,6,1,13,1,30,1,13,2,6,2,30,1,13,3,9,2,16,5,17,1,16,1,17,2,16,1,17,1,16,1,13,2,9,1,13,1,30,1,6,2,28,1,13,1,30,1,6,3,30,1,13,1,16,1,6,1,28,1,30,1,6,1,8,1,9,2,11,1,16,1,11,1,9,1,16,3,13,1,9,4,13,2,9,2,13,1,9,4,13,1,9,1,13,2,6,1,30,2,6,3,13,2,9,2,13,3,9,1,8,1,13,5,9,4,6,1,13,3,9,2,11,1,13,2,9,1,13,2,6,1,28,1,13,1,30,1,13,1,28,2,30,1,16,1,17,3,11,1,17,1,12,1,10,1,17,1,9,2,10,1,9,1,12,1,17,1,11,1,9,1,12,1,11,1,17,4,8,1,17,1,9,1,11,1,13,1,24,1,13,1,30,1,6,3,29,1,6,3,29,1,6,2,7,3,29,1,6,2,30,1,6,1,29,3,30,1,6,2,29,1,28,1,6,1,7,2,29,1,7,1,30,1,7,1,29,1,6,2,7,2,29,1,7,2,29,1,6,4,7,2,6,3,7,1,8,1,6,1,30,1,6,1,29,1,13,1,7,1,6,1,24,1,6,2,8,1,13,1,7,2,8,1,6,1,13,1,8,2,24,1,13,1,8,1,13,1,8,1,11,1,9,3,8,1,9,1,8,1,11,1,9,1,11,1,9,1,11,1,9,3,11,2,9,1,16,1,11,1,9,1,11,2,8,1,11,1,13,1,9,3,8,1,9,4,8,2,13,1,6,1,9,1,6,1,8,1,9,1,13,1,8,1,7,1,9,1,13,3,9,1,13,3,8,2,9,1,13,1,10,1,13,1,9,2,8,1,9,1,10,1,11,1,9,2,11,1,9,3,16,1,11,3,9,1,11,7,9,1,11,2,9,2,11,1,9,3,10,1,11,4,16,1,5,13,33,2,5,1,33,1,28,1,6,3,7,2,30,1,6,1,7,1,13,2,8,2,9,1,8,1,13,3,30,1,28,1,30,3,6,2,13,1,30,2,29,1,9,1,11,2,12,1,11,1,9,3,11,1,9,1,11,1,8,1,17,1,9,1,13,3,6,3,7,1,13,4,30,1,7,1,8,5,13,1,7,1,13,2,12,1,13,1,8,1,9,1,13,2,10,1,11,1,9,1,12,1,10,1,11,1,10,1,9,1,8,1,9,3,8,1,9,5,13,1,9,2,13,2,8,3,13,4,8,1,13,2,9,1,13,1,9,1,11,3,17,2,11,1,17,18,16,1,17,2,12,1,16,1,11,1,12,1,17,1,11,1,17,1,11,3,17,1,12,1,17,1,12,1,11,1,17,1,10,1,17,1,11,2,9,1,11,2,17,2,12,1,17,5,11,1,12,1,9,1,12,1,17,1,12,1,10,1,9,1,11,2,10,1,9,1,17,1,11,1,9,1,17,2,12,1,9,1,12,2,9,1,10,1,17,1,10,1,12,1,9,1,12,2,11,1,12,2,10,1,17,3,9,1,11,1,17,1,9,1,17,1,11,1,8,1,11,1,12,1,9,1,17,1,9,1,17,1,12,1,17,1,12,1,17,1,10,1,17,3,10,1,11,1,12,1,11,2,13,1,12,1,13,1,10,1,11,1,8,1,12,2,9,1,11,2,9,1,12,1,8,1,10,1,9,1,17,1,9,1,10,2,17,1,10,1,17,2,12,1,17,1,9,1,17,1,10,1,12,1,8,1,11,1,10,1,11,1,9,1,12,1,17,11,16,1,11,1,17,1,16,1,17,1,11,1,17,2,11,1,17,1,11,1,12,1,11,2,17,1,12,1,10,1,11,2,9,1,13,1,33,2,5,27,28,14,8,1,16,1,12,1,11,1,10,2,8,1,13,1,6,1,30,1,7,1,6,1,28,1,13,1,8,1,17,2,8,1,29,1,28,4,6,1,17,1,9,1,13,2,6,1,24,1,29,1,28,25,30,1,9,1,17,1,16,1,8,1,29,1,30,1,28,1,12,1,16,1,9,1,13,1,8,1,29,1,30,2,28,1,30,1,}, {30,1,24,1,11,1,12,1,11,1,10,1,8,1,13,1,7,1,24,1,17,1,12,1,13,1,28,33,6,1,30,1,28,2,6,1,8,1,24,1,8,1,9,1,10,1,24,1,17,2,29,1,6,1,30,2,7,1,28,1,30,1,12,1,9,1,24,1,8,1,9,1,13,1,12,2,9,1,10,1,8,1,29,1,9,1,14,1,12,1,13,1,6,1,29,1,30,1,29,1,24,1,17,3,10,1,16,1,9,1,15,1,24,1,13,1,9,1,10,1,17,1,12,1,11,1,10,1,17,1,11,2,17,1,24,1,28,4,6,1,29,1,28,2,30,5,29,1,30,1,28,2,30,4,28,1,29,1,30,1,28,1,8,1,12,1,8,2,9,1,11,1,10,1,7,1,6,1,28,1,30,1,29,2,30,1,9,1,11,1,17,1,12,1,24,1,8,1,9,1,24,1,8,1,24,2,8,3,9,1,13,1,15,1,17,1,24,1,7,1,28,8,30,1,28,2,29,1,6,1,13,1,16,1,17,6,16,1,17,7,13,1,8,1,6,1,29,2,28,2,30,1,28,56,29,1,6,1,13,1,8,1,9,1,12,4,10,1,9,1,12,2,10,1,24,1,10,1,24,1,8,1,9,1,8,4,10,1,9,1,24,3,8,1,24,5,17,1,10,1,12,1,10,2,8,1,7,1,13,1,6,1,7,1,6,2,28,1,30,1,29,1,28,2,6,1,29,1,28,20,29,1,28,1,8,1,7,1,8,1,29,1,13,2,6,2,8,1,29,1,6,1,13,1,30,1,8,1,29,2,13,1,30,1,7,1,30,3,29,1,28,1,6,1,28,5,30,1,28,7,29,1,28,1,29,2,30,1,28,1,30,1,28,1,30,3,28,5,30,1,28,7,30,2,28,1,30,1,28,1,30,1,28,60,30,2,28,1,29,1,28,3,29,1,7,1,13,2,30,1,28,12,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,30,1,29,1,6,1,28,2,30,2,29,1,30,1,6,1,29,3,13,1,7,1,6,2,7,1,6,1,7,1,8,2,6,1,29,1,8,1,6,2,8,1,7,2,6,1,8,1,13,1,24,1,8,2,24,1,13,1,8,1,24,1,13,1,24,1,9,1,13,1,9,1,24,1,10,1,12,1,9,3,8,1,10,1,9,1,17,1,11,1,12,2,17,1,8,1,12,1,8,1,13,1,10,1,17,2,12,1,11,1,12,2,13,2,7,1,30,1,28,51,6,1,7,1,28,1,29,2,30,1,28,1,8,1,7,1,13,1,8,1,24,1,8,1,13,1,24,1,13,1,24,1,7,1,13,1,24,1,8,1,6,1,8,1,6,1,29,1,7,3,29,1,7,1,30,1,6,3,8,1,13,1,6,1,8,4,7,1,24,1,13,1,10,2,12,1,9,1,12,1,17,4,6,1,30,1,28,2,6,1,28,10,30,1,28,17,30,1,28,1,29,2,28,1,30,1,28,28,29,1,30,1,13,1,7,1,8,2,24,1,8,1,12,1,24,1,12,1,11,1,12,1,9,1,10,1,11,1,10,1,12,1,9,1,24,2,17,1,8,1,13,1,8,1,13,1,9,1,17,1,10,1,16,2,11,1,16,2,11,1,9,3,11,1,9,2,16,1,11,1,9,1,11,1,16,1,9,1,11,2,9,1,11,2,9,1,11,1,9,1,11,3,16,1,9,2,11,5,16,1,10,1,11,1,9,1,11,1,9,1,16,1,11,4,16,2,9,1,11,3,9,2,11,2,9,1,11,4,16,2,11,2,13,1,9,1,11,3,9,1,11,1,16,1,11,2,9,6,8,1,9,1,13,1,9,1,8,1,9,1,11,1,9,1,11,1,9,9,8,1,9,2,8,1,13,1,9,2,13,1,9,4,13,1,11,1,9,3,8,1,9,2,11,1,13,2,9,7,8,1,9,3,13,1,10,1,9,3,13,1,8,1,13,4,9,3,13,1,9,1,13,1,9,1,8,1,13,2,9,1,8,1,9,1,13,2,9,1,13,3,8,1,13,7,6,1,13,1,9,1,7,1,8,1,13,2,6,1,29,1,9,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,9,3,13,1,11,1,9,2,10,1,8,1,9,1,10,1,16,1,11,5,16,1,11,2,10,1,11,2,9,9,8,1,9,4,13,2,9,3,13,5,6,1,30,1,6,1,13,1,33,48,5,379,33,1,28,1,6,1,28,14,6,1,28,13,29,1,6,1,30,1,6,1,28,1,30,2,28,13,30,1,29,1,30,1,7,1,6,2,13,5,29,1,13,4,6,2,30,1,6,1,30,1,28,1,30,5,6,1,29,1,30,1,28,6,30,1,28,1,29,1,30,1,28,2,30,1,6,1,30,1,28,2,30,4,28,1,29,1,6,1,30,1,6,1,30,1,6,1,28,1,13,1,29,1,13,1,7,1,6,2,29,1,6,3,30,1,13,1,30,1,7,1,6,2,7,1,6,1,7,2,6,1,13,1,7,2,8,1,24,1,6,2,29,1,13,1,29,1,7,1,6,1,29,1,6,2,30,2,6,1,29,1,13,2,6,1,13,6,6,1,13,5,9,2,11,1,16,2,9,1,11,1,9,1,16,2,11,1,16,7,17,1,16,1,17,1,16,10,17,1,16,2,9,1,16,1,13,1,30,3,6,2,30,2,6,1,13,1,6,1,13,3,6,3,13,1,6,1,13,2,9,2,16,4,17,3,16,1,17,1,16,1,11,1,16,1,11,1,9,1,13,3,6,3,30,1,9,2,13,2,30,1,6,2,30,1,6,1,13,3,9,2,16,1,11,1,16,2,11,2,9,2,13,1,9,6,8,1,13,4,9,1,8,1,6,1,13,1,9,1,13,3,9,1,8,1,13,2,8,1,6,1,9,1,8,1,13,2,9,1,13,1,9,1,13,1,9,2,13,1,6,1,13,2,9,4,11,1,16,1,9,1,16,1,9,1,8,1,6,1,13,2,6,1,28,1,30,1,28,1,16,1,17,1,11,2,8,1,12,1,8,1,12,1,17,1,12,7,9,1,12,1,11,1,17,1,10,1,12,1,11,1,9,2,10,1,8,2,13,2,7,1,29,2,6,2,7,1,28,1,6,1,30,1,6,1,28,1,6,1,29,1,6,1,30,1,29,1,13,1,29,2,6,1,29,2,6,1,7,1,6,1,7,1,6,1,29,2,7,1,13,1,7,1,6,1,13,1,6,1,7,1,30,1,29,1,7,1,13,1,7,1,6,2,7,1,6,1,7,2,29,1,13,1,29,1,6,1,7,1,13,1,6,2,7,1,6,2,7,1,13,1,7,1,30,1,13,1,8,1,7,3,13,3,8,1,24,1,9,1,8,2,9,1,8,1,10,1,13,1,9,1,10,1,8,1,11,1,16,1,10,1,8,1,11,1,9,1,11,1,10,1,9,1,11,1,9,7,10,1,9,1,11,1,9,1,16,1,11,1,10,1,9,1,10,1,13,2,9,1,8,1,13,1,9,1,13,2,8,2,9,1,7,1,9,1,13,2,8,1,9,1,8,2,13,1,9,1,8,2,9,1,8,1,10,1,8,1,9,1,13,1,9,1,8,1,9,2,8,1,9,3,11,1,9,2,11,4,9,1,11,1,9,3,11,1,16,1,9,1,11,2,9,1,11,1,9,2,10,1,9,1,11,7,16,1,5,13,33,3,13,1,30,1,28,2,6,1,30,1,13,3,9,1,13,2,7,1,6,1,13,3,30,2,6,1,28,1,13,3,30,1,6,2,29,1,8,1,11,1,10,1,9,1,12,1,8,1,13,1,9,3,10,1,9,3,11,1,7,1,8,1,7,1,13,2,6,1,13,1,6,1,13,7,8,2,7,1,9,1,13,1,9,1,10,1,9,1,13,1,8,2,13,2,8,1,9,2,11,3,10,1,9,3,8,1,10,1,8,1,9,3,8,1,9,2,8,2,13,2,9,1,13,2,9,2,13,2,8,1,13,1,8,1,13,4,8,1,9,1,11,2,12,1,17,18,16,1,17,2,16,3,11,1,17,1,11,1,17,1,11,2,17,1,12,1,17,2,12,1,17,1,11,1,17,2,11,1,17,1,11,1,17,2,11,1,17,1,11,1,17,3,11,1,12,1,11,1,17,5,10,1,11,2,9,1,10,1,8,1,12,1,8,1,17,1,24,2,9,1,17,1,24,2,10,1,9,1,8,1,12,1,11,2,9,1,17,1,11,1,17,1,10,1,12,1,11,1,12,1,17,1,10,1,17,1,9,1,10,1,11,1,12,1,17,1,11,1,12,1,11,1,17,1,8,1,17,1,24,1,10,1,12,2,9,1,12,4,10,1,12,1,9,2,12,1,8,3,9,3,17,1,8,1,11,1,24,1,12,4,10,1,17,2,12,1,11,1,17,1,11,1,17,2,12,1,11,1,17,2,12,1,17,1,12,1,17,1,11,1,10,1,11,2,8,1,17,3,12,1,17,7,12,1,16,1,17,1,11,1,17,1,11,1,16,1,17,3,12,2,11,2,9,1,10,1,9,1,11,1,33,2,5,29,28,14,16,1,17,2,12,1,10,1,9,1,8,1,6,3,29,2,13,1,8,1,13,1,17,2,8,1,6,1,28,2,30,2,13,1,17,2,13,1,30,1,13,1,29,2,28,4,30,2,28,20,9,1,17,1,12,1,8,1,24,1,28,1,6,1,11,1,12,1,9,1,7,1,6,1,28,2,29,1,28,1,30,1,}, {6,1,8,1,9,1,10,1,9,2,13,1,7,1,24,1,9,1,17,1,9,1,8,1,28,34,6,1,29,2,13,1,7,1,8,1,13,1,9,1,8,1,12,1,17,1,14,1,29,1,28,1,30,1,28,1,29,1,28,1,13,1,17,1,8,1,13,1,6,1,13,1,24,1,8,2,24,1,9,1,24,1,28,1,9,1,15,1,9,1,6,1,13,1,29,1,6,2,9,1,17,4,11,1,12,1,8,1,24,1,8,1,9,1,12,1,17,1,12,1,9,1,17,1,11,1,12,1,17,1,10,1,9,1,30,2,6,1,29,2,28,2,30,2,28,2,30,1,28,1,6,1,29,1,30,1,28,1,29,1,30,1,28,3,29,1,30,1,29,1,30,1,10,1,9,1,10,1,8,1,12,1,24,1,6,1,29,1,30,1,29,1,30,1,29,1,30,1,8,1,17,3,9,4,8,1,9,1,24,1,8,1,7,1,8,1,13,1,8,1,10,2,13,1,28,14,6,1,17,3,16,1,17,11,13,1,8,1,13,1,29,2,6,1,28,1,30,1,28,59,29,1,7,1,8,1,13,1,24,1,17,1,12,1,10,1,12,1,11,1,12,1,17,1,12,1,24,4,8,1,12,1,24,1,8,1,24,1,12,1,24,1,10,1,9,1,10,1,24,1,10,1,24,1,17,1,12,2,17,2,12,1,8,1,13,1,7,1,13,1,7,1,6,2,13,1,6,1,29,1,28,1,6,1,28,22,30,1,6,1,7,1,6,2,13,2,7,1,6,2,7,3,8,1,13,2,7,1,6,1,7,1,30,1,6,1,30,2,29,2,28,11,30,1,28,1,29,1,28,3,30,1,28,1,30,1,6,1,28,2,30,1,28,5,30,2,28,75,30,1,28,1,6,1,29,1,6,1,28,1,29,1,28,1,6,1,29,2,28,1,30,1,28,15,30,1,28,6,29,3,30,4,6,1,30,1,6,1,28,1,6,3,7,1,24,1,7,1,29,1,7,1,13,1,7,2,13,2,8,1,29,3,13,1,6,1,8,1,13,1,8,1,7,1,8,1,13,1,6,1,7,1,24,3,10,1,13,1,9,1,8,1,13,1,9,1,24,1,13,2,24,1,13,1,12,1,9,1,24,1,9,1,8,1,13,1,10,1,24,1,10,1,13,1,11,1,24,1,9,1,8,1,12,1,17,3,11,1,12,1,10,1,8,2,6,1,7,1,30,1,28,43,30,1,28,5,6,1,28,4,30,1,29,1,7,2,13,1,7,3,13,1,24,1,10,1,24,1,7,1,24,1,6,1,8,1,7,1,6,1,8,2,13,1,8,1,13,1,30,1,6,1,8,2,24,1,29,1,7,2,6,1,29,1,8,1,7,1,25,1,29,1,7,1,9,1,8,1,13,1,10,1,24,1,9,1,24,1,17,1,12,1,17,2,13,1,28,2,29,1,6,1,28,1,30,1,28,2,30,1,7,1,29,1,28,23,29,2,30,1,28,26,30,1,28,1,30,1,29,1,13,1,7,2,8,3,12,1,24,2,10,1,9,1,17,1,12,2,9,1,10,1,9,1,17,1,11,1,9,1,10,1,13,1,6,2,7,1,11,2,16,2,11,2,9,1,11,1,9,2,11,1,9,1,10,1,8,1,10,1,11,2,10,1,9,1,11,1,9,1,11,1,9,1,13,1,9,1,11,1,16,1,11,1,16,2,11,2,9,1,11,1,16,1,9,1,11,6,9,1,11,1,16,2,11,2,16,1,10,1,16,1,10,1,11,1,16,1,11,5,9,1,11,1,9,1,16,1,11,2,16,1,11,2,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,17,1,11,3,10,1,9,1,8,1,9,4,8,1,9,1,11,1,9,1,8,1,11,2,13,1,11,1,13,1,9,2,13,2,9,2,13,2,9,5,10,1,11,1,13,1,9,1,10,1,13,2,8,1,9,1,13,1,9,2,13,1,8,1,9,8,11,1,13,1,8,1,13,1,8,1,10,1,9,1,8,1,9,2,10,1,13,1,9,1,13,1,8,1,13,2,9,1,8,1,13,1,8,1,9,1,13,4,9,3,13,3,8,2,13,1,7,1,13,1,9,1,13,2,8,1,13,3,7,1,13,6,9,1,13,1,9,1,13,4,9,1,13,2,9,1,13,1,9,3,13,1,9,2,13,1,8,1,13,1,9,1,11,1,16,1,8,1,9,1,11,1,16,1,11,5,9,3,10,1,9,1,11,1,9,1,13,1,9,4,10,1,13,1,9,2,13,2,9,1,13,3,9,1,13,2,6,1,13,2,30,2,6,1,33,48,5,379,30,1,28,15,30,1,28,12,6,1,30,1,28,1,29,1,28,1,30,1,29,1,30,1,28,14,30,1,6,2,29,1,6,2,7,1,13,1,30,1,7,1,13,1,6,1,13,2,7,2,8,1,6,1,7,1,6,3,29,1,30,4,29,1,30,6,28,3,30,1,6,1,30,1,29,1,28,3,30,3,29,1,30,2,29,1,28,1,29,1,6,1,7,1,29,1,6,2,30,1,6,1,7,1,28,1,13,1,30,1,6,1,30,1,28,1,29,1,6,1,30,1,28,1,29,1,6,1,30,1,13,1,29,1,7,2,6,4,13,1,28,1,13,1,6,1,7,1,13,1,6,9,30,1,6,1,13,1,29,1,13,2,6,1,13,3,6,1,13,4,9,1,13,1,9,3,16,3,11,2,16,1,11,1,16,6,17,1,11,1,17,2,16,2,17,1,16,1,17,3,16,1,11,2,16,1,11,1,16,6,11,1,9,1,6,1,13,2,6,1,28,1,30,1,13,1,6,1,13,6,6,2,13,4,9,1,11,1,16,1,17,1,16,1,17,3,16,7,13,2,30,1,6,1,9,2,13,1,30,1,6,5,30,1,6,1,30,1,13,2,9,1,13,1,11,1,16,4,11,2,9,1,13,1,9,1,8,1,13,1,9,5,13,1,9,1,13,1,9,1,11,1,9,2,16,1,11,1,9,4,13,1,9,3,13,1,9,1,13,1,9,1,16,1,13,1,8,1,9,2,13,1,9,1,13,1,9,4,16,4,11,2,16,1,9,1,6,2,30,1,28,3,16,1,17,1,12,1,11,1,12,1,24,1,17,1,9,1,12,1,10,1,17,1,12,1,9,1,12,2,11,1,12,2,11,1,17,1,12,1,9,1,12,2,24,1,13,2,6,2,29,1,7,1,6,1,29,1,6,1,29,1,6,1,7,1,28,1,6,1,7,1,6,1,13,2,29,1,6,2,7,1,13,1,7,1,30,1,29,2,13,1,29,2,6,2,30,1,7,1,29,2,6,4,29,1,6,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,29,1,7,2,6,5,7,1,6,6,30,1,7,1,29,1,13,3,6,1,7,1,13,2,8,1,13,1,24,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,3,8,1,9,2,16,1,11,1,9,3,11,1,9,1,11,2,9,1,11,2,9,3,8,1,9,2,13,1,9,2,13,1,8,4,9,1,8,1,9,1,13,1,8,1,13,1,8,1,13,2,8,2,13,5,9,1,13,1,9,1,8,1,9,2,10,1,13,1,9,2,8,1,9,1,13,1,9,3,11,1,9,2,10,1,11,1,9,1,11,8,9,2,11,2,9,1,11,1,9,8,11,2,16,1,11,1,5,13,33,3,13,1,30,2,28,1,30,1,8,2,13,2,8,1,13,1,30,1,6,2,30,2,29,1,13,8,8,2,9,4,8,1,9,10,13,1,7,1,13,1,28,1,13,1,6,2,29,1,13,1,7,2,13,3,8,1,13,1,8,1,7,1,13,3,11,1,10,2,8,1,9,1,13,1,8,1,13,1,9,2,11,1,10,1,11,3,9,1,8,1,9,3,11,1,10,1,8,2,13,1,8,1,9,1,13,1,9,2,8,2,13,1,6,1,13,5,8,1,13,1,8,1,13,1,6,1,13,1,8,1,13,1,10,1,11,1,17,2,11,1,12,1,17,1,11,1,17,12,11,1,17,3,16,1,17,1,11,2,17,1,11,1,12,1,17,1,11,1,17,2,11,2,17,1,11,1,17,2,12,1,17,9,11,1,17,2,11,1,17,1,11,1,10,1,11,1,17,3,10,1,9,2,11,1,24,1,9,2,12,1,9,1,11,1,8,1,12,1,8,1,9,1,24,2,9,3,11,1,17,2,10,1,17,2,24,1,17,1,10,1,17,3,11,1,12,3,9,2,12,1,10,1,9,1,12,2,13,1,8,1,9,1,10,1,17,1,9,1,10,1,12,2,10,1,12,1,9,1,17,1,8,1,11,1,9,1,10,1,9,1,10,1,9,2,12,3,9,1,10,1,17,1,10,1,11,1,12,1,11,2,10,1,12,2,11,1,17,1,12,2,17,3,11,1,17,4,10,1,12,1,17,10,11,1,17,2,11,1,17,2,16,2,17,1,16,1,11,1,17,2,12,1,11,2,9,2,33,2,5,30,28,13,30,1,17,3,11,1,9,1,12,1,8,1,7,1,28,1,6,1,29,1,13,1,6,1,8,1,9,1,17,1,9,1,24,1,28,5,29,1,17,2,8,1,6,1,30,1,28,28,9,1,17,1,9,1,24,1,13,1,28,1,29,1,10,1,9,1,12,1,13,1,6,1,28,1,29,1,28,2,6,1,}, {29,1,6,1,13,1,8,1,9,2,8,2,6,1,13,1,17,2,13,1,28,19,30,1,28,14,30,1,28,2,6,1,7,1,24,1,7,1,13,1,9,2,17,1,14,1,13,1,28,1,6,1,28,2,30,2,17,1,13,4,9,1,11,1,8,1,9,1,8,2,13,1,9,1,15,1,9,1,13,1,29,2,13,2,9,1,17,4,12,1,11,1,8,2,9,1,11,1,17,1,9,1,12,1,17,1,9,1,10,1,9,1,16,1,9,1,13,1,7,1,30,2,29,2,30,2,28,1,29,1,7,1,28,1,30,2,28,1,30,1,6,1,30,3,28,1,30,1,29,1,30,1,29,1,30,1,13,1,10,1,9,1,11,1,8,1,15,2,29,1,30,3,6,2,29,1,9,1,17,2,12,1,9,1,10,1,9,1,8,2,9,1,8,1,13,2,24,1,13,1,9,2,11,1,9,1,29,2,28,1,30,1,28,10,30,1,11,1,17,13,16,1,13,3,29,1,30,1,26,1,28,3,30,1,28,58,30,1,28,5,7,1,9,1,24,1,17,1,8,1,12,1,10,1,12,3,24,2,9,1,10,1,12,2,9,1,8,1,12,1,24,3,12,3,17,1,12,2,9,1,10,1,12,1,24,1,7,1,13,2,6,1,13,1,6,1,8,1,29,1,6,1,29,2,28,2,30,1,28,16,29,1,28,1,30,1,6,4,8,1,7,1,13,1,6,2,8,2,13,1,6,2,7,1,8,1,29,1,13,1,29,1,6,1,30,1,6,1,28,1,30,1,28,12,30,1,28,4,30,1,28,4,30,1,28,3,30,1,29,1,28,3,30,1,28,4,6,1,28,4,30,1,28,65,30,1,28,3,29,1,28,3,29,2,28,1,30,1,28,3,30,1,28,3,30,1,28,10,29,1,30,1,28,1,29,1,28,1,6,1,30,1,29,2,6,1,30,1,29,2,28,1,8,1,6,2,7,1,6,1,8,1,29,1,30,1,6,1,29,1,7,1,6,1,8,1,6,1,29,1,6,1,13,1,8,1,6,1,7,1,25,1,24,1,8,2,24,1,13,1,8,1,13,2,8,1,9,1,13,1,24,1,13,1,8,1,24,1,8,1,9,1,24,1,13,1,24,1,7,1,24,2,9,1,12,2,17,1,9,1,12,1,10,1,8,2,24,1,8,1,10,1,17,3,11,1,17,1,10,1,13,1,6,4,28,49,6,1,28,1,30,1,6,1,30,1,6,2,8,1,29,1,8,1,7,1,8,2,24,1,8,1,7,1,24,1,8,3,24,1,6,1,7,1,13,1,7,1,8,1,29,1,6,1,30,1,29,3,7,2,13,1,29,2,8,1,6,1,8,1,13,1,8,2,24,1,9,1,24,1,12,1,24,1,9,2,17,4,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,28,29,1,28,30,30,2,29,1,6,1,8,1,24,2,12,1,9,1,24,1,10,1,9,2,12,1,24,1,12,3,9,2,12,1,10,1,13,3,8,1,9,1,17,1,16,2,11,2,9,1,11,1,9,8,10,1,9,1,16,1,9,1,11,1,9,2,10,1,16,1,11,1,9,1,16,1,11,1,9,1,11,1,9,3,11,2,16,1,11,1,16,1,11,1,9,1,16,1,10,1,16,1,11,1,9,1,10,1,11,1,9,1,16,1,11,2,10,1,11,1,9,1,11,4,10,1,9,1,10,1,11,2,9,1,11,1,16,2,9,1,16,1,9,1,11,1,9,1,11,1,10,2,11,2,9,1,16,1,11,4,9,1,10,1,8,1,9,2,13,1,9,2,11,1,9,5,13,2,9,1,13,3,9,2,11,1,8,1,9,2,13,1,9,2,13,2,9,7,13,1,8,1,9,1,11,1,8,1,9,1,8,1,9,2,13,1,10,1,9,1,13,1,8,1,9,4,11,2,9,3,10,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,9,2,8,1,9,1,8,1,13,5,8,1,9,1,13,6,9,1,13,1,8,1,13,2,6,1,13,3,28,1,13,5,9,1,8,2,13,3,9,1,13,3,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,3,8,1,9,2,16,1,11,2,9,1,10,1,11,2,9,1,11,1,9,3,10,1,11,1,9,6,13,1,9,1,8,1,13,2,9,1,11,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,7,1,13,2,30,1,33,49,5,378,6,1,9,1,30,1,28,10,13,1,30,1,28,16,30,2,28,1,30,1,28,14,30,1,28,1,30,1,29,1,6,2,29,1,6,2,13,1,30,1,13,2,6,1,7,1,13,1,6,1,13,1,7,1,6,1,13,2,29,1,7,1,6,1,30,1,6,3,29,1,28,1,30,2,6,1,28,1,29,1,28,2,30,1,28,3,30,2,28,1,6,1,30,1,29,1,30,1,28,2,30,1,28,1,6,3,30,1,6,1,28,1,6,1,29,1,30,1,29,1,28,1,6,1,28,2,30,1,29,1,30,1,8,1,13,1,8,1,13,1,8,1,13,1,7,1,8,1,30,1,6,1,13,1,29,1,7,1,8,1,13,1,7,1,13,2,7,1,29,1,13,1,7,1,6,1,7,3,29,1,6,2,13,1,6,1,13,2,6,1,8,1,13,5,6,1,13,1,30,1,13,3,8,1,9,1,8,1,9,1,11,1,16,5,11,1,16,1,11,1,16,10,17,1,16,19,11,1,9,1,13,2,28,2,30,3,13,1,6,3,13,1,6,2,9,1,13,2,9,2,16,2,17,1,14,1,17,3,16,1,17,1,16,3,9,5,13,1,6,2,13,1,28,1,6,1,30,1,6,1,30,2,13,1,28,1,6,2,13,1,9,1,13,1,16,7,11,1,9,1,11,1,13,1,9,1,11,1,9,1,16,1,9,2,11,1,8,1,9,1,16,3,9,1,16,3,9,1,11,2,13,1,11,1,16,1,11,1,9,1,16,1,9,1,16,1,9,1,16,1,9,1,16,1,11,2,16,3,11,2,16,7,13,3,6,1,28,1,30,1,9,1,17,1,9,1,12,1,10,1,11,1,24,1,12,1,9,1,24,1,11,1,12,1,9,1,12,2,11,3,17,1,10,1,12,1,9,1,24,1,12,1,6,1,7,1,6,1,7,2,30,1,29,1,30,1,7,1,6,1,29,1,6,1,28,1,6,1,29,1,6,1,29,1,6,1,29,1,30,1,29,1,7,1,29,1,13,1,6,1,7,2,8,1,29,1,7,1,6,1,13,1,29,2,7,1,6,1,7,1,6,1,13,1,7,1,6,2,8,1,30,1,6,1,7,1,29,1,6,1,7,1,6,2,8,1,29,1,30,1,7,1,6,1,7,1,6,1,28,1,7,1,6,1,24,1,6,2,13,2,6,2,8,1,6,1,8,2,24,1,8,1,13,2,9,1,7,1,9,1,13,1,8,1,9,2,13,1,9,1,8,1,10,1,11,1,9,1,10,1,9,4,11,1,9,3,11,1,10,1,9,2,11,1,9,3,11,1,9,3,13,1,8,1,9,2,13,1,9,1,13,1,8,2,6,1,13,1,8,1,13,3,8,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,9,2,13,2,9,1,8,1,13,3,10,1,8,1,11,1,9,4,8,1,10,2,9,1,16,1,9,1,11,2,9,2,11,1,9,1,11,2,9,1,11,1,9,2,11,1,9,1,10,1,11,2,9,1,11,1,9,1,10,1,11,4,16,1,11,1,16,1,5,1,33,1,13,1,33,3,5,6,33,3,13,1,30,1,6,2,13,4,7,1,30,1,6,1,30,2,13,3,7,1,13,3,8,1,13,3,9,1,8,1,9,4,8,1,9,1,8,1,13,1,8,1,9,3,8,1,13,5,6,3,13,2,6,1,13,3,6,1,13,2,8,1,7,1,6,1,13,1,9,1,13,2,9,1,12,1,10,1,8,1,13,1,8,1,13,1,7,1,8,1,10,1,9,1,11,1,10,3,12,1,9,1,11,1,9,1,10,2,11,2,9,1,13,1,10,1,13,1,9,2,8,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,13,2,6,1,13,1,7,1,29,1,13,1,6,1,13,1,8,1,10,1,11,1,9,1,10,1,11,1,17,6,16,1,17,7,16,1,17,1,16,1,17,1,12,1,17,1,12,1,17,5,11,2,17,1,11,1,17,1,12,1,17,1,11,1,17,2,11,1,16,1,17,14,11,1,9,1,10,1,11,1,9,1,11,1,9,1,8,2,17,1,8,1,12,1,11,1,9,1,10,1,12,1,9,1,11,1,8,1,12,1,8,1,24,1,17,1,11,1,17,1,12,1,11,1,12,1,17,2,9,1,17,2,11,1,10,2,17,1,9,1,10,1,12,1,11,1,10,3,9,1,12,1,24,1,10,2,8,1,24,1,11,1,12,2,17,1,11,1,10,1,12,1,8,2,12,1,11,1,8,1,11,1,9,1,10,1,12,1,24,1,9,1,11,1,12,1,11,2,12,1,10,1,17,1,12,3,17,1,8,1,11,1,17,1,12,1,17,4,11,1,8,1,10,1,17,1,12,1,17,1,10,1,12,1,17,1,9,1,17,6,12,1,17,4,10,1,17,6,11,1,12,1,11,1,12,1,10,1,9,1,33,2,5,31,28,13,6,1,11,1,17,2,10,1,11,1,24,1,13,1,8,1,6,2,13,1,28,1,6,1,24,1,9,1,10,1,12,1,11,1,28,5,30,1,17,2,13,1,28,1,6,2,28,27,10,1,17,1,16,1,24,1,29,1,30,2,10,1,9,1,13,1,7,1,6,1,28,3,30,1,28,1,}, {30,1,8,1,17,1,10,1,8,2,13,1,7,1,13,1,8,1,17,1,9,1,8,1,28,34,30,3,29,1,6,1,7,1,24,1,9,1,10,1,24,1,17,1,14,1,6,1,30,2,6,1,29,1,28,1,7,1,17,1,9,1,24,1,6,1,24,1,9,1,12,1,8,1,11,1,9,1,8,1,6,1,9,1,11,1,9,1,6,1,13,1,6,1,30,1,28,1,11,1,17,4,11,1,12,1,10,1,9,1,24,1,9,1,17,2,9,1,17,1,12,2,11,1,16,1,11,1,13,1,30,1,29,2,28,1,6,1,28,1,30,1,28,3,13,1,30,1,28,2,30,1,6,1,30,1,28,1,30,3,28,2,30,1,28,1,29,1,8,3,9,1,15,1,12,1,6,1,7,1,28,1,29,1,6,1,28,1,30,1,8,1,17,1,11,1,10,1,11,2,8,2,24,1,13,1,24,1,8,1,13,2,24,1,15,1,10,1,14,1,9,1,28,4,30,1,28,10,11,1,17,13,9,1,8,2,6,1,13,1,6,1,30,4,28,1,30,1,28,66,6,1,9,1,17,1,12,1,17,1,12,1,10,1,12,1,24,1,12,1,9,2,10,1,12,1,9,1,24,2,10,1,24,1,9,1,17,1,10,1,12,3,17,2,24,1,8,3,13,1,6,2,13,1,30,1,29,1,6,1,29,3,28,1,29,1,28,16,29,2,28,1,7,2,13,1,6,1,13,1,8,2,24,1,9,1,24,1,7,1,24,2,13,1,29,1,7,2,30,1,29,1,28,2,6,1,28,2,30,1,28,1,6,1,28,9,29,1,28,3,29,1,28,2,29,1,28,1,30,1,28,1,30,1,28,6,30,1,28,1,29,1,28,4,30,1,28,68,30,1,28,1,30,1,29,1,28,1,30,1,6,1,28,1,30,1,28,1,29,1,28,3,30,1,28,7,30,2,28,3,30,1,28,1,29,1,28,1,29,1,28,1,6,1,28,1,29,1,28,2,29,1,30,1,29,2,7,1,6,1,29,1,7,1,6,1,13,1,7,2,6,1,7,1,6,1,13,2,29,1,7,1,30,1,6,5,8,1,6,1,7,3,6,1,8,5,10,1,12,1,7,1,6,1,10,1,9,1,8,4,24,3,9,1,8,1,10,1,11,1,24,1,12,1,10,1,8,1,10,1,8,1,24,2,10,1,17,1,10,1,17,5,9,1,13,1,6,1,30,1,29,1,28,50,30,1,6,4,7,1,13,2,24,1,13,1,8,3,13,1,8,1,24,1,7,1,24,1,13,1,8,1,24,2,8,1,13,1,29,1,6,2,8,2,13,1,7,1,8,1,7,3,6,1,7,1,25,1,8,1,25,1,8,1,13,1,24,1,10,1,8,1,24,1,9,1,12,1,24,1,17,4,8,1,28,2,30,2,28,2,30,3,28,53,30,1,28,1,30,1,28,1,13,1,6,1,13,1,6,1,7,1,10,1,13,1,9,1,12,1,24,1,12,1,17,1,10,1,9,1,17,1,10,3,11,1,8,1,12,1,13,2,8,1,9,1,11,1,10,1,9,1,17,1,9,1,11,1,9,3,11,1,9,2,13,1,9,2,11,1,9,1,13,1,9,2,11,1,9,1,16,1,9,3,11,1,9,1,11,1,16,1,11,3,16,1,11,1,16,1,11,2,16,1,11,2,16,1,9,1,16,1,11,1,16,1,11,1,16,1,9,1,11,2,9,1,11,2,16,1,9,1,16,1,9,1,11,4,9,1,11,1,9,1,11,2,16,1,11,5,9,1,16,1,11,3,9,1,11,2,9,1,11,2,9,4,16,1,9,1,8,1,9,1,11,1,16,1,9,3,13,1,8,1,13,1,9,2,8,1,13,1,9,1,13,1,9,4,11,1,9,1,13,1,9,2,11,1,8,1,9,6,13,1,8,1,11,1,8,1,9,1,13,1,9,7,11,1,9,1,16,1,13,1,9,5,10,1,8,1,13,1,9,2,8,1,9,1,13,2,8,1,13,2,9,1,13,1,8,1,13,2,8,1,6,1,9,3,13,3,8,1,13,7,8,1,6,1,13,1,6,1,13,1,7,1,13,2,6,1,13,1,9,1,13,1,8,1,13,4,9,2,13,3,9,1,8,1,13,1,9,1,8,2,13,2,10,1,9,2,11,1,9,1,11,2,9,1,11,1,16,1,9,2,11,1,9,1,11,2,13,4,9,1,13,5,9,2,13,1,9,1,13,1,9,1,13,2,9,3,13,4,28,1,6,1,33,48,5,378,13,1,11,1,28,14,30,1,28,8,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,17,30,1,6,1,29,1,6,3,28,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,7,1,13,1,29,1,13,1,29,1,6,3,30,2,28,1,29,1,30,1,28,1,29,1,28,4,6,1,30,1,29,1,30,1,29,1,28,1,30,3,6,1,29,1,30,2,28,1,30,1,28,1,6,3,29,1,30,1,28,1,29,1,7,1,29,2,28,1,30,2,28,3,29,2,30,1,29,1,6,4,7,1,6,1,29,1,6,1,13,2,6,1,7,1,29,1,8,1,29,1,13,3,7,1,6,1,13,1,6,1,8,1,13,1,6,1,13,1,7,1,6,1,7,1,8,1,13,1,30,1,13,11,30,1,13,1,9,1,13,1,11,2,16,1,11,1,16,1,11,1,9,1,11,2,16,1,11,2,16,9,17,2,16,5,17,1,11,1,16,3,11,1,16,1,11,1,16,2,17,2,16,1,17,1,16,2,11,1,13,1,6,2,30,1,6,3,30,2,6,1,13,3,30,1,6,1,13,1,9,2,16,2,17,7,11,1,9,1,11,1,9,1,16,1,13,8,30,1,6,2,13,1,30,1,28,1,6,1,13,2,9,3,16,7,9,1,11,1,16,1,11,1,8,1,11,1,13,1,9,2,13,2,11,1,9,1,16,2,11,3,9,2,16,1,11,1,16,1,9,1,16,2,9,1,16,3,11,1,16,1,17,1,16,3,11,1,16,1,11,1,16,4,13,1,16,3,9,2,13,1,6,1,30,1,6,1,11,2,9,2,12,1,9,1,11,1,9,1,12,1,24,1,11,1,12,1,17,1,11,1,17,3,12,2,17,1,12,1,8,3,7,1,29,1,30,1,29,1,13,1,6,4,30,2,29,1,7,1,30,1,29,2,7,1,6,1,29,1,6,1,7,1,28,1,6,3,29,2,6,1,29,1,7,2,13,1,6,4,30,1,29,1,6,2,7,1,6,3,29,1,8,1,6,1,13,1,6,1,7,1,13,1,7,1,29,2,7,1,6,1,7,1,6,1,7,1,8,1,6,1,13,1,8,1,6,1,7,1,8,2,13,1,6,1,8,1,28,1,7,1,24,1,7,1,24,1,9,1,13,1,8,1,13,1,8,2,9,1,13,1,9,3,10,1,13,1,9,2,10,1,13,1,9,2,11,1,9,2,11,3,9,2,8,2,9,1,11,2,9,1,8,1,11,1,9,1,13,1,9,1,7,1,8,3,9,1,8,1,13,6,9,1,6,1,13,4,8,1,9,1,13,1,8,1,13,1,9,1,8,1,10,1,8,1,13,1,9,1,13,1,9,2,11,1,9,3,10,3,9,5,11,2,9,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,10,1,11,1,10,1,11,1,9,1,11,1,9,5,11,1,16,1,11,1,16,3,11,1,13,2,33,2,5,5,33,4,28,1,30,1,13,4,6,1,30,1,13,1,28,1,7,1,13,4,8,5,13,2,8,1,11,1,13,1,9,4,13,2,9,1,13,3,8,1,13,1,8,1,13,1,6,1,13,6,6,3,13,2,6,1,13,2,6,2,30,1,8,2,13,3,11,2,10,2,8,1,13,1,8,1,13,2,9,1,8,1,11,1,12,1,11,1,10,3,9,6,8,1,9,4,8,1,9,3,8,1,13,3,8,1,13,1,8,1,9,1,8,1,13,1,7,1,13,3,6,1,13,1,9,1,11,1,12,1,11,1,17,1,11,1,17,18,11,1,17,1,11,1,17,1,11,1,17,6,11,1,17,1,11,1,17,2,16,1,17,5,16,1,17,7,12,1,17,2,11,1,17,1,11,1,10,3,9,1,13,1,11,1,8,1,11,2,9,1,12,2,9,1,10,1,11,1,9,1,10,1,9,1,24,1,10,1,9,1,24,1,17,1,9,1,17,1,9,1,17,3,12,1,17,2,12,1,10,2,11,1,9,2,17,1,9,1,12,1,24,1,12,1,24,2,8,1,10,1,12,1,10,1,9,1,17,4,12,1,11,1,12,1,11,1,12,1,10,1,11,1,9,1,11,1,9,1,11,1,12,2,24,1,12,2,11,3,17,1,11,1,17,2,12,1,17,2,12,2,17,1,10,1,12,1,17,2,12,1,17,1,10,1,9,1,11,1,12,1,17,1,12,1,17,10,12,1,17,2,11,1,17,1,16,2,17,4,11,1,33,2,5,32,28,13,13,1,12,1,17,2,12,2,24,1,8,1,13,1,30,1,29,2,13,2,9,1,10,1,12,1,11,1,13,1,28,5,6,1,17,2,24,1,29,1,28,1,6,1,29,1,28,26,16,1,14,1,17,1,9,1,6,1,29,1,6,1,13,1,24,1,13,1,8,1,28,1,30,2,28,1,29,1,13,1,}, {6,1,7,1,12,1,17,1,10,1,9,1,6,1,29,1,13,1,8,1,9,2,13,1,28,36,29,1,30,1,13,1,8,1,12,1,17,2,12,1,17,1,14,1,13,1,30,3,28,2,13,1,17,2,13,2,8,1,24,1,8,1,9,3,13,1,8,2,14,1,8,1,29,1,13,1,7,1,29,1,6,1,10,1,17,3,10,1,12,1,17,1,9,1,8,2,9,1,16,1,17,1,10,1,17,2,11,2,16,1,17,1,13,1,6,1,30,1,29,1,30,3,28,7,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,2,6,1,8,1,10,1,8,1,24,1,15,1,12,1,13,1,6,1,29,1,30,1,29,1,28,2,24,2,9,1,12,1,11,1,8,1,10,1,13,1,8,3,24,1,8,2,13,1,8,1,15,1,17,1,24,1,30,1,28,1,30,1,28,11,29,1,9,1,17,13,12,1,9,1,8,1,7,1,29,1,7,1,6,1,27,1,28,1,30,2,28,1,30,1,28,66,30,1,7,1,10,2,11,1,12,2,17,1,12,2,10,1,12,1,17,1,10,2,9,2,10,1,12,1,9,1,24,1,9,1,12,3,24,1,9,1,24,1,7,1,13,1,6,1,7,1,13,1,6,2,7,1,29,2,6,2,28,1,29,1,28,2,30,1,28,13,30,1,29,1,30,1,29,2,13,2,8,1,13,2,8,1,7,1,8,1,24,2,13,1,7,3,6,1,29,2,30,1,13,1,28,8,30,1,28,1,30,1,28,5,29,1,30,1,28,1,30,1,28,6,30,1,28,4,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,69,30,1,28,2,29,1,6,1,28,3,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,6,2,28,1,29,1,6,1,8,1,28,1,29,2,6,2,30,2,6,2,28,1,30,3,6,3,29,1,6,2,13,1,7,1,6,1,30,1,13,1,6,1,7,1,29,1,13,1,7,1,8,1,29,1,6,1,29,1,8,1,6,1,7,2,6,1,8,1,6,1,13,1,8,1,10,1,24,1,8,3,9,2,8,1,10,1,8,2,13,1,6,1,8,2,12,2,10,1,24,1,17,1,9,1,24,1,8,1,9,1,8,1,9,1,10,1,24,1,10,2,17,2,9,1,17,2,9,1,24,1,13,1,29,1,28,50,6,1,24,1,7,2,6,1,7,1,6,1,24,1,8,2,24,1,13,1,8,1,13,2,8,2,24,2,8,1,24,1,8,1,7,3,8,2,6,1,13,1,6,6,29,1,7,1,6,2,8,1,7,1,8,4,24,1,9,1,17,1,9,1,17,2,12,1,17,2,13,1,6,1,28,1,30,1,28,2,30,1,28,3,30,1,28,23,6,1,28,29,29,3,8,2,13,1,8,2,9,1,24,1,9,1,24,1,12,2,17,1,9,1,17,1,12,1,24,1,12,1,17,1,10,1,9,1,13,2,9,1,13,1,9,1,16,1,17,1,16,3,11,2,9,1,11,2,16,1,11,2,9,1,11,1,9,2,11,1,9,1,17,1,11,1,9,1,11,3,9,1,10,1,11,2,9,1,17,1,11,2,10,1,11,5,9,1,16,2,11,1,16,1,9,1,16,1,9,1,16,1,11,1,16,3,11,2,16,1,9,1,11,2,9,1,16,1,11,5,9,1,11,1,9,3,16,1,9,1,11,1,10,1,9,2,11,2,9,1,11,2,9,3,8,1,9,5,11,1,9,2,13,1,9,1,8,1,9,3,13,1,9,1,13,1,8,1,13,1,9,1,11,1,13,1,9,2,8,1,9,1,11,1,9,2,10,1,9,2,11,1,13,1,8,1,9,2,8,1,13,1,8,1,9,1,10,1,9,1,8,1,11,1,9,1,11,1,9,3,11,1,9,3,13,1,11,1,9,3,13,1,8,2,9,1,13,1,9,3,8,1,9,4,8,2,13,2,9,1,13,2,9,1,8,1,13,1,8,1,13,9,8,2,13,1,7,1,6,1,13,3,8,1,13,9,29,1,13,1,8,1,6,1,9,1,13,2,8,2,9,1,13,3,9,1,8,1,11,1,9,1,13,1,8,1,9,1,10,1,9,1,16,1,11,1,10,1,9,1,11,1,9,2,11,1,9,5,13,1,8,1,7,1,13,1,9,1,13,1,9,1,10,1,16,1,13,1,9,1,13,1,9,1,13,1,9,2,13,4,6,2,33,48,5,377,6,1,9,1,30,1,28,14,30,1,28,32,30,1,28,1,30,1,6,1,30,2,7,1,6,1,13,2,6,1,13,2,6,1,13,3,6,1,29,1,8,1,7,1,6,1,7,1,6,2,30,1,13,1,28,1,7,1,28,1,29,1,28,1,6,1,30,1,28,1,29,1,28,1,30,4,28,1,29,1,28,1,29,1,28,2,29,1,30,1,6,1,29,1,7,1,28,1,6,2,28,1,29,2,30,1,28,1,30,1,28,1,29,1,6,1,29,1,28,1,6,1,29,1,6,1,28,1,6,1,7,1,29,1,28,1,7,1,29,1,7,1,29,1,13,1,6,1,7,1,6,1,13,1,8,1,6,1,7,2,8,1,13,2,6,1,7,2,13,1,7,1,13,1,8,1,13,1,9,1,8,1,13,2,9,1,13,1,6,1,13,10,9,1,13,3,8,1,13,1,9,1,16,1,11,1,16,2,11,2,16,1,11,1,16,1,11,1,16,8,17,1,16,2,17,2,16,2,17,1,16,6,11,3,16,2,17,1,16,1,17,2,16,3,11,1,13,2,30,1,6,2,13,1,30,1,6,1,13,5,6,1,13,2,9,1,16,2,17,3,16,1,17,1,16,4,17,2,11,1,16,1,13,6,30,1,28,1,6,1,30,2,6,4,13,3,9,1,11,1,9,1,16,4,11,1,9,1,11,1,9,2,11,2,9,2,16,2,13,1,9,1,16,1,13,1,9,1,16,1,11,1,16,10,17,1,16,2,17,1,16,10,11,1,9,1,16,1,9,1,16,1,9,3,8,1,6,2,11,2,9,1,16,1,17,1,9,1,10,1,12,1,9,1,12,1,9,1,10,1,17,1,9,1,17,2,10,2,8,1,12,2,8,1,13,2,6,2,7,1,29,1,30,1,6,1,30,1,29,3,6,2,28,2,30,1,6,2,29,1,6,3,8,1,28,1,29,1,6,3,13,1,7,1,29,1,30,1,6,2,7,1,29,1,6,1,7,1,29,1,7,2,13,1,6,2,7,1,28,1,6,1,29,1,7,1,6,2,29,1,7,2,6,1,13,1,6,1,7,2,6,1,13,1,7,2,13,3,8,1,6,1,8,1,7,1,8,3,6,1,13,3,8,2,9,1,13,1,8,1,9,2,8,1,10,1,9,2,11,1,9,3,11,1,10,1,9,1,16,1,10,1,11,2,9,1,16,1,9,1,11,1,10,1,11,3,8,1,9,3,13,1,9,1,13,1,8,1,9,1,13,2,9,3,8,1,13,1,8,2,13,1,7,1,9,1,13,1,9,1,13,2,8,2,9,2,8,3,13,1,9,2,13,1,8,2,9,3,11,1,10,1,9,1,10,1,9,5,11,1,9,1,11,3,9,1,11,5,9,1,11,1,9,2,11,1,9,3,11,3,16,4,11,1,16,1,9,2,30,2,33,4,5,2,33,4,13,4,29,1,30,1,6,1,30,1,7,1,9,3,8,1,10,1,13,1,9,2,8,1,9,2,8,1,13,1,8,2,10,1,8,2,9,1,10,1,8,1,13,2,7,1,13,2,8,1,13,4,7,1,13,1,8,1,9,1,13,1,7,1,6,1,13,1,7,1,28,1,6,1,13,1,30,1,8,1,13,1,6,1,9,1,8,2,9,3,11,3,10,1,8,1,9,1,13,1,8,1,13,2,9,2,11,2,10,1,11,1,9,1,10,1,9,1,11,1,8,1,10,1,9,2,8,2,9,1,13,1,9,1,10,1,8,1,10,1,9,2,7,1,13,2,8,3,9,1,13,5,8,3,9,1,8,1,11,2,17,1,12,1,17,13,16,1,12,1,11,1,17,6,11,1,17,1,11,1,17,2,12,1,17,6,11,1,17,12,11,2,17,1,11,1,9,1,11,1,17,1,9,2,13,1,9,1,12,1,11,1,12,1,10,1,9,1,24,1,9,1,11,1,17,1,9,2,11,1,9,1,10,1,12,1,9,1,10,1,17,1,12,1,11,1,17,1,11,1,17,2,12,1,17,1,9,1,11,1,17,1,12,1,9,2,10,1,8,1,9,1,24,1,10,1,8,1,24,1,9,1,13,1,9,1,10,1,24,1,8,1,9,1,12,1,9,1,17,2,12,2,10,1,12,1,17,1,12,2,10,1,17,1,12,1,11,1,17,2,11,1,17,1,9,1,17,1,11,1,12,1,17,3,12,1,17,1,10,1,12,1,9,1,11,1,17,1,11,1,10,1,12,1,9,2,10,1,17,1,12,1,9,1,11,1,12,1,9,1,17,9,12,1,17,3,16,1,17,2,12,1,16,1,11,1,5,34,33,1,28,13,8,1,17,3,10,1,24,2,8,2,30,1,6,2,7,1,8,1,7,1,8,1,17,2,13,1,28,5,6,1,16,1,17,1,8,1,6,2,30,1,6,1,28,25,30,1,14,2,10,1,8,1,7,1,28,1,6,1,9,1,8,1,6,1,13,1,29,1,30,1,28,2,30,1,29,1,}, {8,2,11,1,12,1,9,1,13,3,6,1,13,1,24,1,12,1,8,1,28,36,30,1,28,1,13,2,29,1,8,2,17,2,14,1,8,1,30,1,28,1,30,1,29,1,28,1,8,1,16,1,11,1,8,1,13,2,8,3,13,1,11,1,9,1,6,1,8,1,15,1,9,1,30,1,6,2,7,1,13,1,11,1,16,1,17,2,12,1,17,1,10,1,9,1,8,2,9,1,16,1,17,1,12,1,17,1,11,2,17,3,9,1,30,1,28,5,30,2,29,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,3,6,1,30,2,6,1,24,1,8,1,24,1,15,1,12,1,13,1,6,1,30,2,28,2,29,1,8,1,12,1,17,1,11,2,10,1,13,1,6,1,8,3,9,1,8,1,9,1,8,1,9,1,12,1,17,1,24,1,29,2,28,10,29,1,28,2,9,1,17,13,11,1,9,1,8,3,6,1,30,1,6,1,28,73,7,1,17,1,10,1,12,4,17,1,12,1,17,1,10,1,9,1,17,1,10,2,15,1,12,1,24,1,9,1,24,1,17,1,12,1,10,3,24,1,8,2,9,1,8,1,24,1,30,1,7,1,13,1,29,2,7,1,29,1,28,1,30,1,28,17,30,1,6,1,29,1,7,1,8,1,13,1,24,1,8,3,24,1,6,1,8,1,13,1,7,1,13,1,24,1,28,2,6,1,29,2,28,2,29,1,28,2,29,1,28,1,29,1,28,4,30,2,28,2,30,3,28,3,30,3,29,1,28,3,29,1,28,79,30,1,6,1,28,2,30,1,28,2,29,1,28,2,6,1,28,1,7,1,29,2,28,1,30,1,29,1,28,1,30,1,29,1,30,2,29,2,30,1,28,1,30,1,28,2,6,1,29,1,30,2,29,1,13,1,6,1,30,2,6,1,30,1,29,2,7,2,29,1,6,1,7,1,29,1,6,2,29,1,6,1,8,1,29,2,8,1,30,1,8,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,8,2,13,1,24,1,13,1,8,3,24,1,13,2,24,1,10,2,13,1,10,1,13,1,9,1,10,1,9,1,24,1,9,1,8,1,24,1,12,1,17,1,10,2,9,1,24,2,8,1,9,1,24,1,9,1,10,1,9,2,12,2,17,2,11,1,24,1,8,1,29,1,30,1,28,46,30,2,28,1,29,1,30,1,6,3,13,1,6,1,24,1,9,2,24,1,8,1,24,1,8,1,13,1,6,1,13,2,8,2,7,1,24,1,8,2,13,1,8,2,7,2,13,1,7,1,26,1,8,1,13,1,29,1,6,3,25,1,8,1,25,1,7,1,24,3,9,2,13,1,12,1,9,1,12,3,17,1,9,1,30,1,28,2,30,1,28,25,30,1,28,3,30,1,28,28,30,1,29,1,6,2,7,1,6,1,8,2,24,1,9,2,12,1,8,1,12,1,9,1,11,1,12,2,8,1,12,1,9,2,12,1,9,1,24,1,8,1,13,1,11,2,17,1,16,1,9,1,11,4,9,2,11,1,9,3,16,1,9,1,11,3,10,1,11,4,10,1,16,1,9,1,16,1,11,1,16,1,11,3,16,1,9,2,16,1,11,3,9,1,11,1,9,1,11,4,9,1,17,1,16,1,11,1,10,1,16,1,11,1,16,1,9,1,11,1,16,2,11,1,16,1,11,3,9,1,11,1,9,1,11,1,9,2,11,1,16,1,11,2,9,1,10,1,11,1,9,1,11,1,9,1,16,1,9,4,8,1,11,1,9,1,10,1,11,1,8,1,9,1,13,1,11,1,9,3,8,1,9,1,13,1,9,1,8,2,9,1,13,2,9,11,8,1,9,2,13,1,9,1,13,3,9,1,13,1,9,1,8,1,11,1,9,1,11,1,10,1,9,3,13,1,9,4,11,1,13,1,11,1,9,2,11,1,9,4,13,1,9,1,8,2,13,1,9,2,13,1,9,1,6,1,13,2,9,3,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,8,30,1,13,6,7,1,13,2,9,1,13,1,29,1,13,11,8,2,13,1,11,1,9,5,8,1,9,1,11,1,9,1,11,2,9,2,16,1,10,1,9,2,10,1,13,1,8,1,9,2,8,1,13,1,6,1,13,2,8,1,9,7,13,2,9,1,13,2,9,1,6,2,33,49,5,376,30,1,13,2,28,14,8,1,28,11,29,1,28,21,30,1,28,1,29,1,30,2,29,1,30,1,29,1,13,1,6,5,13,1,30,1,13,3,7,1,29,1,6,1,30,1,6,4,30,1,29,1,6,1,30,1,29,1,28,1,6,1,30,3,28,1,30,1,29,1,30,2,28,1,29,1,28,1,30,1,28,2,6,1,30,1,29,1,6,1,30,1,28,1,7,1,28,1,30,1,6,1,30,1,6,1,28,3,30,1,28,3,6,1,28,1,6,1,29,1,6,1,13,1,6,1,30,1,29,1,6,1,29,1,8,1,7,1,13,1,6,2,7,1,13,1,6,1,7,1,13,1,8,1,13,1,24,1,13,1,8,1,24,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,30,1,13,13,8,1,13,1,9,2,16,2,11,1,16,6,11,1,16,2,11,1,16,3,17,1,16,2,17,1,16,1,17,1,16,9,17,1,11,2,16,1,11,1,16,2,11,1,17,1,16,2,11,1,9,4,16,1,9,1,11,1,9,1,6,1,13,1,6,1,13,1,6,2,30,1,13,2,6,1,13,1,9,1,8,1,9,1,16,2,17,1,16,2,17,7,16,1,9,3,13,4,6,1,30,2,28,1,6,5,13,2,6,1,13,1,9,2,11,1,16,6,11,1,9,1,11,1,16,1,11,1,9,1,13,1,16,1,11,1,16,1,13,1,16,1,9,1,11,3,13,2,9,1,11,1,16,2,17,1,16,4,11,1,16,1,14,1,16,2,9,1,16,3,11,1,16,1,11,1,16,2,9,3,11,2,9,1,6,1,13,1,11,1,17,1,11,1,17,2,11,1,12,1,9,1,10,1,17,1,9,1,17,1,12,1,17,1,12,3,9,1,12,1,9,1,8,1,24,1,8,1,30,1,13,1,29,2,6,2,29,2,30,2,6,1,30,1,6,1,29,2,28,1,29,1,6,2,29,1,7,1,6,1,7,3,8,1,6,1,7,1,6,1,13,1,29,1,7,1,29,1,13,1,29,1,7,2,6,1,29,1,8,1,30,1,6,2,7,1,13,3,30,1,7,2,6,1,29,2,6,1,8,1,6,1,13,1,7,1,6,3,13,1,6,1,8,1,7,1,8,1,13,1,7,2,8,1,7,1,6,1,13,1,9,2,13,1,9,1,13,1,9,4,13,1,8,2,11,1,8,2,9,2,10,1,9,1,10,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,13,1,9,5,8,1,11,1,8,1,13,1,9,1,13,1,9,1,13,2,9,1,13,1,9,1,13,1,8,1,7,1,13,1,8,1,7,1,8,1,13,2,9,1,6,1,8,1,9,1,13,1,9,1,13,1,10,1,8,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,10,1,9,5,11,1,9,3,10,1,9,1,11,1,9,4,16,1,9,1,11,2,10,1,11,2,9,1,10,1,9,2,16,1,9,1,10,1,9,1,11,1,16,1,11,1,16,1,11,1,16,2,17,1,16,1,9,1,13,2,33,2,5,4,33,3,6,2,13,1,6,1,30,1,6,1,7,1,13,1,10,1,9,1,10,1,9,2,11,1,9,2,8,1,9,1,13,1,8,1,13,1,8,1,13,2,9,1,8,1,9,2,13,1,8,1,13,3,6,1,7,1,6,1,7,1,29,1,13,1,6,2,30,1,6,1,7,1,6,1,8,1,7,2,6,3,7,2,6,1,13,1,7,1,13,2,9,1,13,1,9,1,12,1,11,1,12,1,11,1,9,1,10,1,13,3,6,1,9,1,8,1,12,1,9,2,10,1,9,1,10,2,9,2,10,2,9,2,11,1,13,1,9,2,13,1,9,1,8,2,10,1,13,1,8,1,13,3,9,1,8,1,13,1,8,1,13,2,8,1,13,1,9,1,8,1,13,1,9,1,8,1,9,1,11,1,17,1,11,1,17,1,11,1,17,10,11,1,17,3,12,1,11,1,17,6,12,1,17,1,11,2,17,1,16,1,17,1,16,1,17,1,11,1,17,5,16,1,17,7,11,4,17,1,11,1,9,1,10,1,9,1,8,1,12,1,17,1,9,1,11,2,12,1,11,1,10,1,8,2,10,1,11,1,12,1,8,1,9,1,11,2,9,1,12,1,10,1,17,1,11,1,9,1,17,2,24,1,12,2,10,1,9,1,17,1,10,1,12,2,10,1,12,1,10,2,8,2,24,1,10,1,12,1,8,2,24,1,13,1,12,1,11,1,17,3,12,1,17,1,11,1,17,2,12,2,17,1,12,3,10,1,17,1,10,1,9,1,17,1,10,2,17,3,12,1,17,3,12,1,17,3,11,1,10,1,11,3,12,3,17,2,11,1,17,2,11,1,17,7,11,1,16,1,17,4,11,1,5,35,28,14,8,1,17,2,12,2,24,1,9,1,13,2,30,1,29,1,6,1,13,1,7,1,8,1,9,1,17,1,10,1,6,1,28,5,13,1,17,2,6,1,7,1,13,1,30,1,6,1,28,26,14,2,10,1,8,1,29,1,28,1,7,1,16,1,9,1,6,1,7,1,30,2,28,3,6,1,}, {29,1,30,1,9,1,17,1,8,1,13,1,24,1,7,2,24,1,9,1,24,1,8,1,29,1,28,33,30,1,28,1,30,1,29,1,7,1,13,1,8,4,17,2,24,1,29,1,7,1,29,2,30,1,8,1,9,2,8,1,13,1,8,1,7,2,8,2,12,1,8,1,13,1,8,1,9,1,15,1,29,1,13,1,6,2,7,1,8,1,17,3,11,1,17,1,10,1,9,2,24,1,9,1,12,1,17,2,16,1,17,5,8,1,30,2,28,2,30,2,28,3,30,1,28,2,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,13,2,24,1,12,3,7,1,28,2,29,1,30,1,28,1,30,1,8,2,12,1,17,1,12,1,24,1,13,3,8,1,9,1,8,2,9,1,13,1,9,1,15,1,17,1,9,1,29,1,28,11,30,1,28,2,13,1,17,13,16,1,9,1,11,1,8,1,13,1,29,1,30,1,6,1,29,1,30,2,28,71,8,1,17,1,12,1,10,1,12,1,9,1,12,1,10,1,17,2,12,1,17,2,12,2,9,2,10,1,17,1,10,2,12,1,9,1,12,1,17,1,12,2,8,3,13,1,8,2,6,1,30,1,6,1,29,1,6,1,28,1,30,1,28,18,29,1,7,1,13,1,24,1,7,1,8,1,24,2,13,1,24,2,13,1,8,1,6,1,7,1,6,2,13,1,30,2,29,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,29,1,28,8,29,1,28,3,29,1,28,2,7,1,28,13,29,1,28,73,29,1,30,2,28,2,29,2,6,1,28,1,30,2,6,1,30,1,28,1,30,2,28,1,29,1,28,2,6,1,29,1,28,1,29,1,28,2,6,1,28,1,7,1,28,1,29,1,30,2,6,1,7,1,30,1,28,1,30,1,29,2,6,1,28,1,6,2,29,1,28,1,7,1,13,1,6,1,28,1,30,1,29,1,30,1,6,3,13,1,6,1,7,1,6,1,7,1,29,1,7,1,6,1,8,1,6,2,13,2,7,1,13,1,8,1,13,1,24,1,8,2,12,1,9,1,8,1,7,1,24,1,9,1,8,3,12,1,24,1,12,1,9,2,8,2,24,1,8,2,12,1,24,2,9,1,24,2,9,1,12,2,17,1,12,1,10,1,7,1,6,1,28,48,6,1,28,1,29,2,6,1,30,1,6,1,13,2,8,1,12,1,24,2,8,1,9,1,24,1,13,1,24,2,7,2,24,2,6,1,7,1,13,1,6,1,8,1,25,3,24,1,25,2,26,1,6,1,25,2,6,2,26,1,8,1,25,1,24,1,13,1,7,1,10,1,12,1,9,3,12,1,17,1,12,1,10,1,17,1,10,1,30,3,6,1,28,2,30,1,28,25,30,3,28,26,29,1,30,2,29,1,7,1,13,3,24,1,8,1,24,1,17,2,12,1,17,1,11,1,17,2,8,1,17,1,9,1,11,1,10,1,9,1,13,2,8,2,16,1,11,1,16,1,11,1,9,4,11,2,16,1,9,2,10,1,11,1,13,1,9,4,11,1,10,2,11,1,9,3,11,3,16,1,11,7,9,1,11,1,10,1,16,1,11,2,16,1,11,2,9,2,10,1,9,1,11,2,16,1,9,1,11,1,9,1,11,4,9,1,11,3,9,1,11,1,9,3,11,2,9,1,11,4,16,1,9,1,11,2,9,1,13,1,9,1,8,1,9,2,11,1,9,1,10,1,11,1,9,2,13,1,9,1,13,3,9,2,13,1,9,2,13,1,8,1,10,1,9,1,13,1,9,1,13,2,9,2,11,1,13,1,9,4,8,1,13,2,8,1,9,2,13,1,9,2,13,1,8,1,11,1,9,2,8,1,9,1,8,1,9,3,10,1,9,1,8,1,9,1,10,1,11,1,9,6,11,1,8,1,9,1,13,1,9,6,8,2,9,1,8,1,13,1,9,3,13,1,8,1,9,4,8,1,13,2,7,1,13,2,8,1,13,2,7,1,6,1,13,1,6,1,13,4,6,1,8,2,6,2,7,1,8,1,13,2,9,1,13,5,8,2,30,1,13,2,9,1,8,1,9,1,11,2,8,1,9,2,11,1,9,1,8,2,16,1,9,1,11,1,9,1,8,1,9,1,8,1,9,1,13,4,8,1,9,1,13,1,9,2,10,1,9,2,13,1,11,1,13,1,9,1,13,1,9,4,30,1,13,1,33,49,5,375,33,1,6,1,13,1,28,14,7,1,28,3,30,1,28,1,29,1,30,1,29,1,30,1,28,26,30,1,29,1,30,1,13,1,30,1,29,1,7,2,6,2,13,3,6,1,7,1,13,4,6,1,13,1,29,1,13,1,6,2,30,2,6,1,30,1,28,2,30,1,29,2,6,1,30,1,28,1,30,3,28,1,29,1,28,1,30,1,28,1,29,1,6,1,30,2,6,1,28,1,29,1,28,2,29,1,30,1,28,2,30,1,29,1,30,1,28,1,6,1,30,1,6,4,30,1,6,2,7,1,6,1,7,1,6,1,29,1,13,1,29,1,13,2,7,1,13,1,7,1,8,1,6,1,13,1,8,2,13,1,9,1,24,1,13,1,24,1,8,1,13,1,8,1,9,2,13,1,9,2,13,5,6,1,13,8,9,1,13,3,9,1,11,1,16,5,11,1,9,1,16,7,10,1,16,17,17,1,9,1,16,3,17,1,16,1,17,1,16,6,11,2,16,1,11,1,13,2,6,1,30,2,13,1,30,1,6,1,13,1,30,2,13,1,6,1,13,2,11,1,17,1,11,1,17,6,16,2,9,2,13,1,9,1,11,1,9,2,13,1,6,1,13,1,6,1,13,1,30,1,28,1,6,1,30,3,6,1,13,2,9,3,16,2,11,1,16,3,11,1,16,1,11,3,9,3,16,2,9,1,16,1,9,2,16,1,8,1,13,1,16,1,11,2,9,1,11,1,16,1,9,1,16,5,14,1,16,2,11,1,14,1,16,1,11,1,16,3,9,2,11,1,9,2,16,1,9,2,6,1,13,1,9,1,16,1,17,1,16,2,17,1,11,1,12,2,17,1,10,1,12,1,11,1,12,2,24,1,10,1,12,1,10,1,24,1,13,1,8,1,7,1,6,3,30,1,29,1,30,1,7,1,6,1,30,1,29,1,30,1,6,2,30,1,6,2,7,1,28,1,29,1,7,1,6,3,30,1,7,1,6,2,29,2,7,3,6,1,29,1,7,2,6,1,29,2,30,1,7,1,6,1,29,1,30,1,7,4,6,1,13,1,7,2,8,1,7,2,6,1,24,1,7,1,13,2,8,1,6,1,7,1,8,1,29,1,13,5,7,1,24,1,8,1,9,1,6,1,13,1,9,2,8,1,13,1,8,1,9,4,10,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,16,1,9,2,13,1,9,2,8,1,9,1,8,1,9,1,13,4,9,1,13,4,8,3,13,1,8,1,7,1,13,1,8,1,13,2,6,1,8,1,9,1,7,1,13,1,8,1,9,1,13,1,8,2,13,1,9,1,13,1,9,2,10,1,13,1,9,2,8,1,10,1,8,1,10,2,9,1,11,3,9,2,11,1,9,2,11,1,9,1,16,1,9,3,11,1,9,1,11,2,10,1,11,2,9,2,11,1,16,1,11,4,16,1,11,1,16,7,9,2,33,1,5,2,33,3,6,1,28,1,6,2,30,1,29,1,9,1,11,1,10,1,9,5,8,2,13,5,8,1,9,1,13,1,9,2,13,1,8,1,9,1,13,1,7,1,13,1,7,2,13,3,7,1,13,2,6,3,13,1,7,1,13,1,8,1,13,1,7,2,6,1,13,1,6,2,7,1,13,5,12,1,17,3,11,3,9,1,13,3,7,1,6,1,9,1,11,2,9,1,12,1,10,1,11,1,9,1,11,2,9,3,10,1,9,1,13,1,9,8,8,2,6,2,13,2,9,1,8,2,13,4,8,1,13,1,8,2,9,3,12,1,11,1,17,20,12,1,17,4,16,1,17,1,16,2,11,1,17,1,16,1,17,2,16,1,17,6,11,1,17,2,12,1,11,1,17,3,12,1,11,4,13,1,8,1,11,1,12,2,17,1,11,2,10,1,12,1,11,1,12,1,10,1,12,1,11,1,10,1,9,2,12,1,11,1,8,1,12,1,17,1,12,2,17,2,9,1,17,1,9,1,11,1,12,1,24,1,17,1,24,1,8,1,24,1,13,1,10,1,8,2,24,1,13,1,24,1,6,1,8,1,24,1,13,1,10,2,17,6,9,1,12,1,11,1,12,1,17,1,11,1,17,1,10,1,17,3,10,1,17,1,9,1,11,1,17,5,12,1,11,1,10,1,17,1,11,1,17,1,9,1,10,1,17,3,12,1,17,1,11,1,17,1,12,1,17,1,11,1,17,1,12,2,17,10,16,1,11,1,5,36,28,14,8,1,17,3,10,1,13,1,8,1,13,1,7,1,6,2,7,1,29,1,8,1,7,1,9,1,17,1,12,1,6,1,28,5,13,1,11,1,17,1,7,1,30,1,7,1,29,1,30,1,28,25,30,1,16,1,14,1,9,1,8,1,7,1,6,1,28,1,11,2,8,1,6,1,28,4,29,1,6,1,}, {29,2,17,1,12,1,24,1,9,2,7,1,8,1,6,1,8,1,12,1,13,1,29,1,28,27,30,1,28,6,30,1,28,2,6,1,7,1,8,2,24,1,8,1,17,1,14,1,9,1,6,1,29,1,7,1,29,1,30,1,8,1,17,1,12,1,8,1,7,1,13,1,29,1,8,1,13,1,9,1,17,1,8,2,9,1,14,1,10,1,29,1,6,1,13,1,6,2,8,1,17,2,11,2,12,1,11,1,9,1,24,1,9,1,11,1,16,1,17,3,12,1,17,4,9,1,29,1,30,3,28,1,29,1,30,1,28,1,29,1,28,3,30,1,28,1,30,2,28,9,30,1,13,2,9,1,8,1,9,2,8,1,30,2,29,3,30,1,13,1,9,1,16,1,11,1,10,1,13,3,9,1,13,1,9,1,24,1,8,1,24,1,8,1,9,1,12,2,11,1,6,1,28,6,30,1,28,7,6,1,17,13,16,1,10,1,24,1,7,1,8,1,7,1,30,1,28,2,30,1,29,1,28,72,13,1,12,4,17,1,12,3,17,1,12,2,10,1,17,1,12,1,9,1,12,4,17,1,12,1,9,1,12,2,9,1,12,1,24,1,8,2,7,3,13,1,29,1,7,2,29,1,28,16,30,1,28,1,30,1,6,1,28,1,13,1,8,1,13,1,24,3,8,1,24,1,8,1,13,2,6,1,13,1,7,2,28,2,30,1,28,3,29,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,7,30,1,28,1,30,2,28,73,30,1,28,2,30,3,29,1,28,1,6,1,30,1,6,1,30,3,29,1,6,1,28,1,30,1,29,1,30,1,29,2,28,1,6,1,29,1,30,1,28,1,30,1,6,1,29,2,28,1,30,2,29,1,30,2,6,1,28,2,30,1,29,2,30,1,7,1,13,1,6,1,7,1,6,3,24,1,29,1,7,1,8,1,6,1,30,1,6,1,7,1,6,1,29,1,6,1,30,1,13,1,29,1,13,1,8,1,6,2,13,1,7,1,13,2,9,1,6,1,24,2,8,1,24,1,13,1,10,1,24,1,9,1,13,1,24,4,12,1,24,1,9,1,17,1,8,1,24,1,8,1,10,2,8,1,24,1,10,1,24,2,12,1,9,1,11,1,9,1,17,2,24,2,8,1,30,2,28,45,29,1,28,1,29,1,30,2,13,2,6,1,8,2,12,1,9,1,13,1,10,1,24,1,13,1,24,1,13,2,8,1,24,1,8,1,24,2,13,1,24,1,25,2,24,2,6,1,25,1,29,1,8,1,25,1,29,1,6,1,25,1,26,1,6,1,26,1,24,2,8,1,24,3,10,1,9,2,12,1,11,1,12,1,9,1,12,1,17,2,8,1,28,1,29,1,30,1,28,2,30,1,28,55,30,1,29,1,6,1,7,2,8,1,10,1,9,1,12,1,24,1,11,2,12,4,10,1,9,1,12,2,9,2,24,1,9,1,13,1,8,1,13,1,9,1,10,1,16,4,10,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,11,1,9,1,11,1,13,1,9,4,11,1,10,1,9,1,11,1,9,1,16,1,11,3,9,1,11,2,16,4,11,2,9,1,16,1,10,1,16,1,11,2,9,1,16,1,9,1,10,1,16,2,11,1,16,1,8,1,9,1,11,1,16,1,11,1,8,1,11,1,9,1,11,2,16,1,8,1,16,1,11,1,9,3,16,1,11,2,9,3,16,1,10,1,9,3,8,1,9,3,11,1,10,1,9,5,13,1,9,1,13,1,9,3,10,1,9,2,6,1,8,1,9,3,13,1,9,3,10,1,11,1,9,1,13,2,10,1,9,2,8,1,9,1,11,1,9,1,11,1,9,2,13,1,9,1,13,1,9,4,13,1,9,4,8,1,10,1,9,1,8,1,9,1,11,1,13,1,10,1,9,2,13,1,9,1,11,1,8,2,9,1,13,1,8,1,9,1,8,1,9,1,7,1,13,1,8,1,9,2,13,1,9,1,13,1,8,1,13,1,11,1,8,1,9,1,13,1,9,2,13,2,9,1,13,1,8,1,9,1,8,1,13,4,9,1,13,1,7,1,8,1,13,1,9,1,30,1,8,1,13,4,9,1,13,4,9,1,13,1,9,1,7,1,13,2,9,1,8,1,13,1,8,1,9,1,8,1,11,1,8,1,9,4,11,1,9,1,11,2,9,1,11,3,9,2,8,1,13,2,11,1,9,11,13,1,9,3,13,3,9,1,13,1,33,49,5,376,13,1,8,1,28,14,30,3,28,3,7,1,28,1,29,1,28,26,30,2,29,1,28,1,6,1,30,1,6,1,30,1,6,4,7,1,6,2,13,2,29,1,6,1,13,1,6,7,30,1,29,1,30,1,29,1,7,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,6,1,28,3,29,1,28,1,30,1,6,1,30,1,6,2,28,1,29,1,28,1,6,1,30,1,29,1,30,1,29,1,13,1,30,1,28,1,29,1,6,3,30,1,6,3,30,1,29,1,28,2,30,1,6,1,29,1,6,1,13,1,6,1,13,2,8,1,13,3,9,1,13,1,8,4,13,1,8,4,9,1,8,1,9,3,13,1,9,1,13,1,29,1,13,1,30,1,13,3,6,1,13,5,9,1,6,1,13,1,8,1,9,2,11,1,9,2,16,1,9,1,11,1,9,1,11,1,16,2,9,1,16,2,11,2,9,1,11,1,16,14,11,3,16,2,17,1,16,1,11,1,16,3,11,1,16,2,11,2,16,1,9,1,11,1,16,1,9,2,13,2,6,1,28,1,30,1,6,2,13,2,6,1,13,3,11,2,16,2,17,5,16,2,11,1,9,1,16,1,9,3,16,1,11,1,9,1,6,1,30,1,13,1,30,3,6,1,28,3,13,1,6,1,13,2,9,1,16,5,11,1,16,2,9,3,16,1,9,1,16,1,9,2,16,1,9,1,16,1,9,1,11,1,16,2,11,1,9,1,16,1,11,2,9,1,11,1,9,1,16,11,9,1,16,5,11,1,9,1,16,1,13,1,9,1,13,1,30,1,13,1,16,2,17,1,12,1,17,1,10,1,17,1,12,1,17,2,12,1,9,1,12,2,11,1,9,2,10,1,7,1,8,1,7,1,30,1,7,1,6,1,30,1,6,3,30,2,6,1,30,1,29,1,6,5,30,1,29,1,6,1,13,1,29,1,13,1,6,1,29,1,6,1,13,1,6,1,7,1,8,1,30,1,7,1,13,1,6,1,7,2,29,1,7,1,6,1,7,3,30,1,7,1,6,1,29,1,13,2,6,1,13,1,7,1,13,1,30,1,6,1,7,2,30,1,6,1,13,2,8,2,6,1,7,1,8,1,7,1,8,1,9,1,13,1,8,1,13,1,8,1,13,3,9,1,8,1,13,1,8,4,13,1,9,1,8,1,9,5,11,1,9,3,16,1,11,3,9,4,10,1,11,1,9,2,13,1,9,2,8,1,13,2,8,1,9,1,8,1,13,8,7,1,13,3,9,1,13,5,9,1,13,3,11,1,9,1,13,1,8,3,13,1,8,1,9,1,8,1,11,1,13,1,9,3,11,1,9,2,11,1,9,1,16,1,11,1,9,2,11,5,9,1,11,1,9,1,11,1,9,3,11,1,9,1,11,2,9,2,11,2,16,9,11,1,16,2,5,1,33,1,5,2,33,1,5,1,6,3,13,3,11,1,10,1,11,1,9,2,8,3,9,1,8,1,9,3,13,1,6,1,8,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,13,3,6,2,13,3,7,1,13,1,6,2,30,1,7,1,13,1,6,1,13,2,6,2,7,2,6,3,13,1,6,1,13,2,8,1,12,1,17,1,11,1,12,1,11,1,12,2,9,1,13,2,6,1,13,2,7,1,9,1,10,1,9,3,10,1,9,8,8,1,11,1,8,1,9,3,10,1,9,1,10,1,9,1,8,1,9,1,8,1,13,3,8,1,9,1,8,2,13,3,9,1,13,1,8,2,9,2,12,1,11,2,17,3,11,1,17,3,11,1,17,1,11,1,17,10,16,1,11,1,16,1,11,1,17,1,16,1,17,3,16,2,17,2,16,1,11,1,16,2,17,2,12,1,17,2,12,1,17,5,12,2,11,1,17,1,9,3,8,1,9,1,11,1,12,1,9,1,10,1,17,1,12,1,10,1,11,1,17,1,12,2,11,1,8,1,9,1,12,1,10,1,9,1,11,1,17,3,11,1,17,2,12,1,10,1,17,1,9,1,12,1,9,2,24,1,9,1,24,2,8,1,24,1,8,1,24,1,8,2,24,1,8,1,24,1,13,1,24,1,12,1,11,1,10,1,17,1,12,1,17,1,11,1,17,1,12,1,17,2,12,1,17,1,12,1,17,1,11,1,17,1,12,1,11,1,17,3,12,1,17,1,12,1,17,5,12,1,9,1,17,1,12,3,17,1,10,1,12,1,17,2,11,1,17,1,11,1,17,1,12,2,17,10,16,1,5,37,28,13,6,1,12,1,16,1,17,2,9,2,7,1,8,1,7,1,30,1,28,1,29,2,13,2,9,1,17,1,12,1,7,1,28,5,9,1,17,1,10,1,6,2,29,1,6,1,29,1,28,25,29,1,16,1,14,1,11,1,8,1,30,2,13,1,11,1,9,1,7,1,28,6,30,1,}, {7,1,29,1,10,1,9,4,13,1,6,1,13,1,8,1,14,1,15,1,30,1,28,23,30,1,28,3,30,1,28,4,30,1,28,1,30,1,6,1,30,1,29,1,13,2,24,1,9,1,24,1,17,2,9,1,6,1,30,1,29,2,30,1,29,1,17,1,12,1,24,1,7,1,8,1,29,1,7,1,13,1,24,3,8,1,13,1,15,2,13,1,29,2,6,1,29,1,9,1,17,2,10,2,16,1,11,1,9,4,17,3,9,1,11,1,12,1,17,2,16,1,9,1,28,1,29,1,30,1,28,7,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,13,1,8,1,24,2,12,1,15,1,13,1,28,1,30,1,29,2,6,1,30,1,29,1,12,2,16,1,10,1,24,2,13,1,6,1,8,2,13,1,6,1,9,1,8,2,17,1,12,1,11,1,29,1,28,14,13,1,11,1,17,12,16,1,7,1,24,1,10,1,13,1,6,1,13,1,30,1,28,1,29,1,28,1,29,1,28,1,30,1,28,70,7,1,17,3,12,5,10,1,17,1,12,5,10,1,12,7,9,1,12,1,8,1,24,2,13,1,8,3,13,2,6,1,7,1,6,2,30,1,28,16,29,1,13,1,8,2,24,1,8,1,7,1,8,1,24,1,8,1,25,1,8,1,6,1,13,1,29,1,7,1,29,1,30,3,7,1,6,1,29,1,28,5,30,1,28,6,30,1,28,2,29,2,28,3,29,1,28,88,29,1,6,1,28,1,30,1,29,1,28,1,29,2,6,2,30,1,7,1,28,1,6,1,29,2,6,1,28,1,29,1,7,1,28,1,30,2,28,1,7,1,29,1,30,1,29,2,30,1,29,1,30,1,28,1,6,1,29,1,7,1,28,1,6,1,7,1,6,1,29,1,13,1,30,1,6,1,7,1,6,1,29,1,13,1,6,3,7,1,6,2,29,1,6,1,30,1,6,1,28,1,13,1,6,2,8,1,7,1,29,1,7,1,6,2,8,1,13,1,8,1,13,3,8,1,13,1,9,1,24,1,8,1,9,2,24,2,12,1,8,1,12,1,24,1,12,1,8,1,12,1,24,2,8,1,12,1,24,2,9,1,10,1,24,1,8,2,9,1,12,1,9,1,12,3,9,1,13,1,6,2,30,1,28,42,30,2,6,1,30,1,7,1,6,1,7,2,29,1,13,1,8,1,9,1,13,1,10,1,9,1,12,1,24,1,8,1,24,2,8,1,9,1,7,1,8,3,13,1,24,1,7,1,24,1,8,1,25,1,8,1,30,1,8,1,6,1,26,1,27,1,26,1,25,1,29,1,8,1,25,1,8,1,24,1,25,1,24,2,9,1,8,1,10,1,8,1,24,1,12,1,10,1,11,1,17,4,30,1,6,1,28,1,30,1,29,1,28,24,30,1,28,1,29,1,28,30,30,1,29,1,13,1,24,1,6,1,24,2,9,1,24,1,12,1,9,1,10,1,17,1,11,1,10,2,12,1,9,1,10,1,9,1,8,1,11,1,8,1,13,1,8,1,11,1,9,1,16,1,11,1,9,2,16,1,10,1,16,1,11,1,9,1,11,1,9,1,11,1,9,4,10,1,9,1,11,1,9,2,11,1,9,1,10,1,9,1,16,1,11,1,9,2,16,1,9,1,16,1,9,3,11,8,9,1,11,3,16,1,11,1,16,2,11,1,16,1,9,2,11,3,16,1,11,3,16,1,10,1,11,1,10,3,9,1,11,2,16,1,11,1,9,1,11,1,16,1,11,1,9,6,13,1,9,1,11,1,10,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,10,1,13,1,9,1,13,1,9,1,13,2,9,2,13,1,9,1,13,2,10,1,8,1,9,3,13,1,11,1,9,1,13,2,9,3,13,1,9,7,8,1,9,1,13,1,8,1,9,2,13,1,9,1,13,1,9,1,13,1,9,2,10,1,11,1,9,3,13,1,11,1,9,1,8,1,9,3,8,1,9,3,13,2,10,1,13,1,8,3,9,2,13,1,9,1,8,1,13,1,9,1,8,1,11,1,9,2,13,2,9,1,8,1,13,1,8,1,13,2,9,1,13,2,9,1,6,1,13,1,8,1,13,1,6,1,9,1,13,1,30,1,13,2,8,3,13,1,8,1,13,1,9,1,13,4,8,1,13,1,8,1,13,1,9,4,13,1,9,5,11,1,9,6,13,1,11,1,9,4,13,2,9,1,13,1,9,3,11,1,9,9,13,1,9,1,13,2,33,49,5,375,13,1,6,1,28,13,30,1,29,1,28,1,6,1,28,3,29,1,28,3,30,1,28,27,29,1,28,1,30,1,6,3,30,1,6,3,13,1,29,1,6,1,13,3,8,1,6,1,13,1,6,2,8,1,30,1,13,1,7,1,29,2,28,1,6,1,28,1,6,1,29,1,30,1,28,1,30,3,28,1,6,1,29,1,6,3,30,1,29,1,30,1,6,1,30,3,29,1,30,1,29,1,6,1,29,1,30,1,6,2,28,1,6,2,30,1,6,1,29,1,28,2,29,2,30,1,13,1,7,2,6,1,13,1,7,2,29,1,13,1,6,1,13,1,8,1,13,2,8,2,13,2,9,1,8,1,9,1,8,1,9,3,10,1,9,2,11,1,9,3,13,1,6,1,30,1,13,1,6,1,13,1,6,1,13,10,9,1,13,1,9,1,13,1,9,4,11,1,13,1,9,1,16,1,13,1,11,1,9,2,11,1,16,1,11,1,9,2,11,1,16,1,11,3,16,9,11,1,16,1,11,1,16,1,17,1,16,5,11,1,16,2,11,1,16,1,11,3,16,1,11,1,16,1,13,1,9,1,13,1,6,1,30,1,13,1,8,1,9,1,13,1,6,1,13,6,16,4,9,3,16,1,9,6,16,1,11,1,13,2,30,1,13,1,30,2,28,1,6,2,30,1,6,1,30,1,13,2,9,1,16,9,11,3,9,1,16,1,11,1,9,1,13,2,9,2,11,1,16,2,9,2,11,1,9,3,16,1,9,1,16,6,11,1,16,3,11,1,16,1,11,1,9,1,16,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,30,2,9,1,17,5,11,1,12,1,17,2,11,1,17,1,12,3,9,1,24,1,9,1,24,1,12,1,7,1,6,4,7,1,6,3,30,1,6,2,30,1,29,1,7,2,28,1,7,1,6,2,13,1,6,1,13,1,29,1,13,1,6,2,7,1,6,1,13,2,6,1,13,1,6,1,8,1,30,1,7,1,6,2,7,1,29,1,8,1,29,1,6,2,7,1,30,1,8,1,6,2,30,1,7,2,6,1,13,1,7,3,6,1,7,1,6,2,8,2,13,1,8,1,7,1,24,1,13,1,8,1,13,1,24,1,13,1,8,1,13,1,8,2,9,1,8,2,9,1,13,1,9,5,11,1,9,3,11,3,16,1,17,1,9,1,11,1,9,1,16,1,9,1,8,1,11,1,8,1,10,2,9,1,8,1,9,1,7,1,8,1,13,1,8,1,13,9,7,1,13,2,6,1,9,1,7,1,6,1,9,1,13,1,8,4,13,1,9,1,13,2,8,5,9,3,8,1,9,2,16,1,9,1,11,2,9,1,10,1,11,1,9,2,11,1,9,1,11,1,9,2,16,1,9,1,16,1,9,3,11,1,9,1,16,1,9,1,11,2,10,1,11,3,9,1,11,1,16,6,11,7,5,3,33,1,5,1,6,1,28,1,13,1,8,1,11,1,10,1,11,2,9,5,13,1,9,2,8,1,13,4,6,1,13,1,9,2,11,1,13,3,9,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,7,1,30,1,6,2,30,1,13,2,6,2,30,1,13,1,30,1,29,1,28,1,6,1,13,4,11,1,17,2,10,1,17,1,12,1,11,1,9,1,8,1,13,1,30,1,28,1,6,1,13,1,6,1,9,3,11,2,9,1,10,1,9,4,10,1,9,2,11,1,10,2,9,1,10,1,11,1,8,1,9,2,10,1,13,1,8,2,13,2,6,1,8,3,9,1,13,1,8,2,13,3,8,2,9,2,10,2,11,1,12,1,11,2,17,16,11,1,17,3,16,2,17,6,16,1,11,1,16,1,17,4,12,1,17,4,11,1,17,6,9,1,11,1,9,1,8,2,11,2,17,1,12,2,17,1,9,1,11,1,9,1,11,1,9,1,11,2,8,1,9,1,10,1,12,1,10,1,9,1,12,1,17,1,12,1,11,1,17,1,10,2,12,1,9,1,12,1,8,1,12,1,24,3,8,2,24,2,8,1,24,1,9,1,8,1,24,3,8,1,9,1,24,1,17,1,12,1,9,1,17,4,12,1,17,1,9,1,17,2,12,1,10,1,17,1,12,1,11,1,17,1,11,1,17,3,12,1,10,1,17,1,12,1,17,2,12,2,17,1,12,3,17,1,12,1,9,1,10,1,17,1,9,1,17,1,11,1,17,6,11,1,17,5,9,1,5,38,28,13,30,1,9,1,17,1,11,1,16,1,9,1,24,2,8,1,29,1,7,1,30,1,29,1,6,2,8,1,17,1,12,1,9,1,6,1,28,5,13,1,17,1,9,1,30,2,6,1,28,1,30,1,28,25,29,1,14,1,17,1,11,1,13,1,6,1,28,1,8,1,13,1,8,1,13,1,6,1,28,5,13,1,}, {6,1,7,1,10,2,24,1,10,1,8,2,13,1,8,1,13,1,14,1,10,1,6,1,29,1,28,28,30,1,28,5,30,1,29,1,30,1,8,1,24,1,9,1,12,1,8,1,12,1,17,1,9,1,6,1,28,1,29,1,6,1,30,1,6,1,17,1,10,1,24,1,13,1,6,1,29,1,7,1,6,1,24,1,9,2,7,1,6,1,14,1,9,1,7,1,6,1,7,1,30,2,8,1,16,1,17,1,10,1,17,1,11,1,9,1,8,1,9,2,10,1,17,2,16,1,11,2,10,1,16,1,12,1,17,1,8,1,29,1,30,1,28,3,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,9,7,1,6,1,13,1,24,1,8,1,12,1,10,1,24,1,30,2,29,1,30,3,6,1,24,1,10,1,17,1,11,1,8,1,13,1,8,1,7,1,13,1,8,1,13,1,8,3,12,2,17,1,10,1,13,1,30,1,28,11,30,1,28,1,6,1,10,1,17,12,9,1,8,2,13,3,7,1,13,1,29,1,6,1,28,1,6,1,28,10,30,1,28,61,30,1,7,1,10,1,12,1,10,1,9,1,12,1,9,1,17,1,12,1,10,1,17,1,9,1,12,2,10,1,12,1,10,1,12,1,24,1,17,2,10,1,17,1,12,3,24,1,9,1,13,1,9,1,8,2,24,1,13,2,30,1,29,1,28,1,6,1,28,11,29,1,28,3,29,1,28,1,13,1,24,1,8,1,7,1,24,2,8,1,24,4,13,2,6,1,13,1,30,1,7,1,30,1,28,1,29,1,28,1,7,1,28,4,29,2,30,1,28,8,30,1,28,1,30,1,6,1,28,1,29,1,28,6,30,1,28,73,30,1,28,2,30,1,28,2,29,1,28,1,6,1,30,1,28,1,6,1,28,1,6,2,29,1,7,1,30,1,28,1,30,1,29,3,30,2,6,2,28,1,6,1,13,1,6,1,29,1,28,1,29,2,6,1,29,1,28,1,6,1,30,1,29,1,28,1,6,1,29,3,28,1,30,1,29,2,6,2,29,1,7,1,13,1,6,1,7,1,6,3,29,1,7,1,29,1,6,1,30,1,6,2,13,1,6,3,13,2,6,1,7,1,13,3,8,1,6,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,13,2,24,1,8,1,12,2,24,1,10,2,9,1,10,1,8,2,10,1,8,1,12,1,24,2,8,1,10,1,9,1,8,1,9,1,11,1,10,2,17,1,12,1,10,1,13,1,7,2,28,41,30,1,29,2,28,1,29,2,30,1,29,2,7,1,13,2,8,1,10,1,9,1,24,3,8,1,24,2,13,1,24,2,13,1,6,1,13,1,8,2,6,1,8,2,26,1,6,1,25,2,8,1,26,1,25,1,27,1,8,1,25,1,8,3,25,1,24,1,26,1,25,1,7,1,8,1,10,1,24,1,8,1,10,1,17,1,10,1,17,1,10,1,16,1,17,1,11,1,28,1,13,1,28,5,30,1,28,20,30,1,28,2,30,1,28,28,29,1,28,1,6,1,13,1,6,1,13,1,24,1,8,1,24,1,10,1,9,1,8,1,17,1,12,1,9,1,12,2,9,1,17,1,9,1,11,1,8,1,17,1,9,1,6,1,9,2,11,1,16,1,17,1,9,1,11,1,9,4,16,1,9,2,11,1,9,4,8,1,17,1,9,1,13,1,9,3,13,1,9,2,11,2,9,2,16,1,9,2,11,1,9,1,17,1,11,2,9,1,11,2,10,1,11,2,9,1,11,2,9,1,16,1,11,1,9,2,11,1,9,1,16,1,11,1,9,1,10,1,16,1,11,1,9,1,16,1,11,3,10,1,11,1,9,1,11,2,9,1,11,3,16,1,9,1,16,1,9,1,11,1,9,2,11,1,9,3,8,1,9,1,11,1,9,5,11,1,8,1,9,1,11,1,9,1,8,3,9,1,13,1,9,3,13,2,9,1,8,1,13,2,11,1,9,1,13,2,9,1,13,1,8,1,9,5,11,2,13,1,10,1,9,2,8,1,9,2,8,1,9,1,13,1,9,1,13,1,9,8,8,1,13,1,9,2,8,1,13,1,9,1,13,1,9,6,13,1,9,2,13,4,7,1,13,1,9,1,13,1,9,1,13,1,9,2,8,1,13,1,9,1,13,2,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,6,1,8,1,13,2,9,1,6,1,8,1,13,1,6,1,13,1,9,1,13,2,7,1,11,1,13,2,8,1,13,2,9,1,8,1,13,1,9,16,11,1,9,4,8,2,9,5,11,2,9,2,11,1,9,2,13,1,11,1,9,1,11,1,13,5,33,50,5,374,30,1,13,1,28,14,6,1,28,5,30,1,28,8,30,1,28,22,30,2,28,1,6,2,28,1,6,1,13,1,7,1,29,1,7,1,13,1,6,2,13,2,6,1,13,1,6,2,7,1,6,3,13,2,7,2,29,1,6,1,30,1,29,1,6,1,28,1,6,1,29,1,7,1,6,1,30,3,28,1,29,1,6,1,28,1,29,1,6,1,29,1,28,1,30,2,28,1,30,7,6,2,30,1,7,1,29,1,6,1,29,1,30,1,6,2,29,1,6,1,29,1,7,2,13,2,6,1,13,2,8,1,24,2,8,1,13,1,8,4,9,1,8,2,9,2,8,1,9,3,10,1,9,1,11,1,9,1,11,1,9,1,6,1,13,3,6,1,13,5,6,1,30,1,6,1,13,4,9,1,6,1,9,1,13,2,9,1,13,1,9,1,13,1,9,3,13,1,9,4,16,1,11,3,9,1,16,8,11,1,16,1,11,1,16,1,11,1,16,1,11,4,16,1,9,2,11,3,9,1,16,1,11,1,9,1,16,2,11,2,16,3,9,1,13,1,9,1,13,2,6,1,28,1,13,1,6,1,9,1,8,1,13,3,6,1,13,9,6,1,9,2,13,1,11,1,9,4,6,1,13,1,6,1,28,1,30,1,6,2,30,1,6,1,13,3,9,2,16,2,9,1,16,1,11,2,16,3,9,1,16,1,9,7,16,2,9,2,16,1,11,1,16,1,11,1,9,1,11,1,16,11,9,1,16,1,9,1,11,1,9,1,16,4,9,1,13,1,16,1,9,1,13,2,30,1,8,1,11,1,17,4,11,1,17,1,12,1,17,1,11,1,12,1,10,1,8,1,9,1,24,2,8,1,13,1,6,2,29,1,7,1,6,3,29,1,30,1,7,1,6,8,30,1,13,1,6,1,30,1,6,2,29,1,7,1,6,1,13,1,6,2,29,1,7,1,6,1,13,1,6,1,8,1,13,1,6,1,13,1,29,1,24,1,7,1,29,1,13,4,29,1,7,1,13,1,6,1,7,1,6,1,13,1,29,1,8,1,29,1,8,1,28,1,7,2,13,1,7,1,6,1,13,1,8,1,13,1,7,1,8,1,24,2,9,1,8,2,9,1,13,1,8,5,9,1,8,1,9,2,11,2,9,1,11,3,9,1,11,1,16,1,11,1,10,2,9,3,11,1,9,2,8,1,11,1,9,3,10,1,13,4,8,1,13,2,8,1,13,2,7,1,8,1,13,2,9,2,13,2,8,1,13,3,8,1,13,1,9,1,13,4,9,1,13,1,8,3,9,2,13,1,9,1,8,1,9,1,16,1,11,1,9,1,11,1,16,1,9,1,10,1,9,1,10,1,9,1,11,1,9,4,16,1,11,1,9,1,10,1,9,3,11,5,9,1,16,1,11,1,16,6,11,1,16,2,11,5,9,1,11,2,9,1,33,1,16,1,9,1,28,2,13,1,9,1,11,3,17,1,9,1,10,1,8,3,13,1,8,1,13,4,6,1,13,1,6,1,13,2,9,2,13,5,6,1,29,1,30,1,13,1,6,2,7,1,6,2,30,1,6,1,13,1,30,1,6,1,13,1,6,1,7,1,30,1,6,1,29,1,6,1,30,2,13,1,6,1,13,1,11,2,17,1,11,2,12,2,17,1,9,1,13,1,6,3,13,1,7,1,8,1,13,1,8,1,11,2,9,1,10,1,9,2,8,1,10,1,9,2,10,1,9,1,10,3,9,2,10,1,9,1,10,1,9,1,8,1,9,2,8,1,13,1,7,1,13,3,8,1,13,4,7,1,9,2,13,1,8,1,9,2,10,1,11,2,12,1,11,1,17,1,12,1,17,12,12,1,17,2,16,1,17,2,11,2,17,3,16,1,17,1,11,1,16,1,17,2,11,1,17,11,12,1,10,1,12,1,10,1,11,1,9,1,8,1,9,1,8,1,10,1,24,1,17,4,12,1,11,1,17,1,11,2,10,1,9,1,8,2,10,1,9,3,11,1,17,2,11,2,9,1,12,1,10,1,24,1,10,1,8,1,9,1,7,1,13,1,8,1,24,1,13,1,12,1,24,1,8,2,24,1,30,1,24,1,13,2,24,2,13,1,17,2,12,3,17,1,9,1,12,2,17,1,12,1,17,2,12,1,17,1,9,1,12,1,17,2,12,1,17,2,12,2,17,1,10,1,17,2,12,1,11,2,12,1,17,2,9,1,12,1,10,1,11,1,9,1,12,1,11,1,12,1,17,6,12,1,16,1,17,2,12,1,9,1,6,1,9,1,5,37,28,13,29,1,10,1,17,1,16,1,11,1,10,1,8,2,6,2,30,1,6,1,29,1,6,1,13,1,10,1,9,1,16,1,9,1,6,1,28,5,8,1,10,1,9,1,28,4,13,1,28,25,30,1,14,2,12,1,8,1,7,1,29,1,8,3,13,2,28,5,6,1,}, {30,1,7,2,15,1,8,1,9,1,13,1,8,1,13,2,24,1,12,1,14,1,13,1,28,16,30,1,28,8,30,2,28,6,6,1,28,2,29,2,13,1,9,2,10,1,8,1,17,2,11,1,29,1,30,1,29,1,30,3,10,1,12,1,8,1,7,2,13,1,8,1,13,1,8,2,24,1,6,2,14,1,12,1,13,1,6,1,30,1,6,1,28,1,9,1,12,1,17,1,16,1,9,1,17,1,16,1,11,1,9,1,8,2,10,1,17,2,11,1,16,1,9,1,11,1,12,1,17,1,9,1,6,1,28,1,30,1,28,12,30,2,28,8,6,2,9,1,8,1,10,1,15,1,12,2,6,3,30,1,6,1,30,1,6,1,24,1,12,1,11,1,8,1,13,1,29,1,13,1,7,1,8,5,9,1,10,2,12,2,29,1,28,11,30,2,28,1,30,1,11,1,17,12,11,1,8,1,9,1,7,1,24,1,6,4,28,1,6,1,30,1,28,1,30,2,28,2,30,1,28,69,6,1,8,1,12,1,24,1,8,1,17,3,12,1,9,1,12,2,24,1,12,1,10,2,12,2,10,1,12,1,10,1,17,1,10,1,17,1,24,4,13,1,9,1,8,2,24,1,6,2,28,1,29,3,28,1,29,1,28,3,30,1,28,3,30,1,28,3,30,1,6,1,24,2,8,1,13,1,24,4,8,1,24,1,7,1,8,1,13,1,28,1,7,1,6,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,30,1,29,1,28,1,29,1,28,1,30,1,28,5,30,1,29,1,28,1,30,1,29,2,28,1,30,1,28,86,30,2,28,1,30,1,28,1,30,3,6,1,30,1,6,1,29,1,6,1,28,1,30,2,28,1,29,2,13,1,6,1,28,1,30,3,13,1,28,2,29,1,28,1,13,1,7,1,30,1,6,1,29,4,6,1,7,1,30,1,6,1,30,1,29,1,6,3,7,1,6,1,29,1,13,1,29,1,30,1,7,1,29,1,6,1,28,1,30,1,7,1,28,1,6,1,29,1,30,1,7,1,8,1,6,2,13,2,6,1,13,1,8,1,13,1,6,1,24,1,8,1,24,1,8,2,6,1,9,1,8,2,13,1,10,1,8,1,12,1,9,1,12,1,9,1,12,1,10,1,7,1,24,1,13,1,12,2,9,1,24,1,10,1,9,1,24,1,8,1,24,2,9,1,8,1,10,1,12,2,10,1,24,1,30,1,6,1,28,38,29,1,28,5,6,1,29,3,30,1,13,1,6,1,24,1,10,1,24,1,9,3,24,4,8,1,9,1,8,2,24,1,8,1,13,1,24,1,6,1,24,1,26,1,29,1,26,2,27,1,25,2,8,1,29,1,8,1,27,2,8,1,25,1,24,1,8,3,24,1,8,1,24,2,12,2,10,1,9,1,17,1,11,1,17,1,12,1,17,1,30,1,7,1,29,1,28,25,29,1,28,1,30,2,28,26,29,1,28,2,30,1,13,1,29,1,13,1,24,2,9,1,10,1,9,1,13,1,24,2,9,1,17,2,9,1,11,1,9,1,12,1,9,1,17,1,9,2,8,1,13,1,9,1,11,1,16,1,11,1,16,1,9,1,16,1,9,1,11,1,9,4,11,1,8,1,9,1,16,1,9,1,16,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,3,11,1,10,1,9,2,10,1,9,3,11,1,9,1,16,1,9,1,11,2,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,5,9,2,11,1,16,1,11,2,16,1,11,1,10,1,11,3,16,1,9,1,16,1,9,1,11,2,16,3,17,1,16,1,11,1,9,3,10,1,8,2,9,2,11,1,8,1,9,1,10,1,9,1,8,1,13,1,9,3,13,1,8,1,9,2,13,1,9,1,13,2,9,1,13,4,11,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,2,9,2,8,1,9,1,10,1,9,1,13,1,9,3,8,1,16,1,8,1,9,1,8,2,13,1,9,1,10,1,9,2,8,1,13,1,8,1,9,1,8,1,9,3,13,1,11,2,9,1,13,3,9,1,7,1,9,2,13,2,9,1,13,5,9,1,8,2,13,1,8,1,9,1,8,2,9,1,13,3,8,1,13,1,8,2,9,1,13,1,9,1,7,1,13,3,9,2,13,4,8,1,13,3,9,1,8,1,13,1,9,1,8,1,13,2,9,11,13,1,9,5,10,1,9,2,10,1,11,1,9,2,11,1,9,3,11,1,9,1,13,1,9,1,13,1,11,2,13,1,9,3,13,1,9,5,11,1,13,4,33,50,5,373,6,1,11,1,28,14,8,1,28,14,30,1,28,2,29,1,28,21,29,1,6,1,7,1,6,3,29,2,6,1,7,2,13,2,6,1,7,2,6,1,13,1,30,1,29,1,13,2,6,1,29,1,6,1,30,1,6,4,29,1,30,1,29,1,28,1,30,2,6,1,28,1,7,1,30,1,29,1,6,1,28,1,6,1,28,1,30,1,28,2,6,1,30,1,29,1,7,1,6,2,29,1,30,1,7,2,30,1,6,1,29,3,6,1,30,1,7,1,30,1,29,1,7,1,13,1,6,1,13,1,6,1,13,4,6,1,13,1,8,1,13,1,9,1,8,2,9,1,8,1,13,1,9,3,10,1,9,2,11,3,9,1,11,4,16,1,13,1,6,2,13,5,6,4,13,2,6,1,13,3,6,1,13,5,9,2,13,6,9,4,11,2,9,3,11,1,16,2,11,2,16,1,11,1,16,1,11,1,16,1,9,1,10,2,16,1,11,2,9,1,11,1,16,1,9,1,11,1,16,1,11,2,16,9,11,1,9,3,13,1,8,1,13,1,28,1,13,1,9,2,13,1,6,3,28,1,30,1,28,1,13,4,6,2,13,1,6,1,13,2,9,2,8,1,11,1,9,1,13,1,30,1,6,1,30,1,13,1,28,2,6,2,13,2,6,1,13,2,11,1,9,1,16,3,11,1,16,5,9,5,11,1,17,1,16,1,11,1,16,1,9,1,11,1,9,1,16,1,13,1,16,1,9,1,16,3,14,1,16,4,9,1,17,1,16,1,9,3,16,1,9,1,11,1,16,4,11,2,9,2,13,1,28,2,30,1,13,1,9,1,17,3,11,1,16,1,12,1,11,1,12,1,9,2,8,1,10,1,24,1,9,1,13,1,7,1,29,1,6,6,7,1,30,1,7,1,6,1,29,1,6,1,7,3,8,1,29,1,13,3,29,1,6,1,7,1,8,1,6,1,7,1,13,2,8,1,6,1,13,2,8,1,13,3,6,1,8,1,6,1,13,2,6,1,7,1,6,2,28,1,7,2,6,1,13,1,7,1,29,1,8,1,29,1,13,3,29,1,13,1,8,1,24,1,29,1,13,1,24,1,8,2,13,1,8,1,13,1,9,1,13,2,9,2,8,1,9,1,13,1,9,1,8,1,11,1,9,2,11,2,9,2,16,1,11,1,10,1,11,1,16,1,11,1,10,1,11,1,9,3,11,1,9,2,10,1,8,1,9,1,8,1,13,1,30,1,13,2,8,1,7,1,13,1,9,1,13,1,8,1,9,1,6,1,13,3,7,1,8,1,13,4,9,1,7,1,13,1,8,2,9,1,13,1,8,1,13,2,9,1,8,2,9,1,13,1,10,1,8,2,10,2,9,1,11,1,10,1,9,2,8,1,9,1,11,1,9,2,8,1,9,2,16,1,9,2,11,1,10,1,11,3,9,1,10,1,9,1,10,2,11,5,10,1,11,1,16,1,11,8,16,1,11,1,16,1,11,1,9,1,11,2,9,1,16,1,11,1,9,1,13,3,10,2,9,2,10,1,9,3,8,4,13,1,8,1,13,1,7,1,8,1,6,1,13,1,7,1,13,4,9,1,13,3,7,1,29,1,6,2,30,1,6,2,13,1,6,1,30,1,13,2,7,2,6,3,7,1,28,1,6,2,30,1,13,1,6,1,13,1,9,1,11,6,17,1,12,1,9,1,13,1,6,1,30,1,6,1,13,4,8,1,9,1,11,1,10,1,11,2,8,1,11,1,9,1,10,2,9,1,11,1,10,2,11,1,10,1,9,1,8,1,10,1,8,1,10,2,8,3,13,5,9,1,13,1,8,2,9,1,13,2,8,1,13,1,8,1,9,1,13,1,10,1,9,2,11,1,17,6,12,1,17,7,16,3,17,6,12,1,17,2,11,1,17,3,11,1,17,2,16,1,17,7,11,2,17,2,11,2,10,1,9,1,8,1,11,1,13,1,12,1,11,1,17,1,9,1,12,2,17,2,12,1,11,2,9,1,12,1,8,1,12,1,11,1,9,1,11,1,17,1,11,1,12,1,11,1,9,1,12,2,11,1,10,1,11,1,8,1,24,1,13,1,24,1,10,1,24,2,8,1,12,1,13,1,8,4,10,1,13,1,8,1,13,1,10,1,8,1,9,2,17,1,10,1,11,1,17,2,12,1,17,5,9,1,17,1,10,1,17,2,12,1,11,1,17,1,10,1,17,2,12,3,17,1,9,1,10,1,12,1,10,1,9,1,12,1,9,1,12,1,11,1,12,2,9,1,17,1,12,1,17,9,16,3,6,1,28,1,6,1,5,36,28,14,16,1,17,2,11,2,8,2,6,1,30,4,13,1,6,1,9,1,17,1,12,1,9,1,28,6,9,1,16,1,11,1,28,30,30,1,17,2,8,1,13,1,6,1,28,1,9,1,24,2,8,1,30,1,28,5,30,1,}, {28,1,30,1,24,1,9,2,13,1,9,1,8,1,13,1,29,1,9,2,14,1,7,1,28,35,29,2,6,1,8,1,9,1,10,1,24,1,8,1,12,1,15,1,9,1,29,2,6,2,29,1,28,1,24,1,9,1,13,1,7,1,6,1,13,1,8,1,13,1,8,1,24,1,9,1,8,1,13,1,11,1,10,1,8,1,29,2,7,1,30,1,13,1,17,3,16,1,12,1,9,1,12,1,9,2,13,1,24,1,15,1,12,1,17,1,9,1,10,2,16,1,17,1,8,1,30,1,28,7,30,1,28,4,30,1,28,4,30,1,28,6,29,1,6,1,9,1,8,1,10,1,24,1,17,1,12,1,29,1,28,1,30,1,7,1,29,1,6,2,24,1,12,1,17,1,12,1,24,1,13,1,6,1,13,1,6,1,13,1,8,2,24,2,13,1,17,2,9,1,6,1,30,1,28,5,30,1,28,7,13,1,16,1,17,12,11,1,13,2,8,1,7,1,8,1,24,1,29,1,7,1,29,1,28,1,30,1,6,1,29,1,28,2,29,1,30,1,28,72,6,1,9,1,12,1,17,1,12,1,9,1,17,1,10,1,9,1,10,1,17,1,10,1,12,2,24,1,17,1,12,2,24,1,10,1,12,1,17,1,24,1,10,1,9,1,8,3,9,1,24,2,8,1,13,1,30,1,6,1,28,7,30,1,28,3,29,1,28,1,6,1,7,1,6,1,8,3,24,1,8,1,24,2,25,1,8,1,24,1,6,3,7,1,6,2,30,2,28,1,6,1,29,1,28,1,30,1,29,1,30,4,28,2,6,1,28,1,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,3,30,1,28,5,29,1,28,78,30,1,28,2,6,1,28,1,29,1,25,1,13,1,29,1,7,1,29,2,30,2,28,1,7,1,30,2,7,1,6,2,29,1,6,1,29,1,6,2,7,1,30,2,29,1,7,1,6,1,7,1,29,1,30,1,28,1,30,1,29,1,7,1,30,2,6,3,29,2,6,2,28,1,6,1,29,2,6,3,28,1,7,1,6,1,30,1,6,1,28,1,7,2,29,2,7,1,30,1,8,1,6,1,8,1,7,1,13,1,8,1,13,3,8,1,13,2,8,1,24,1,8,1,13,1,24,1,8,1,17,1,8,1,24,1,8,1,12,1,9,1,12,1,24,1,13,1,8,1,24,1,8,1,24,1,8,1,24,1,13,1,24,1,9,1,8,1,9,1,24,1,8,1,24,1,10,2,12,1,17,1,24,1,13,1,8,1,29,1,28,36,6,1,28,1,29,1,28,1,29,1,30,1,29,1,13,1,6,1,13,1,7,1,8,1,13,1,24,1,9,2,8,1,24,1,10,1,17,2,8,1,10,1,24,1,9,1,13,1,7,1,9,1,13,1,9,1,13,2,6,1,8,2,25,1,29,1,24,1,25,1,8,1,27,1,8,1,25,2,8,1,24,1,26,1,8,1,24,1,8,1,24,1,8,1,13,2,8,2,24,1,12,4,11,1,17,2,11,1,6,1,7,1,28,25,30,2,28,31,30,1,13,2,8,2,24,1,8,1,24,2,10,2,12,1,10,2,12,2,11,1,9,1,10,1,9,2,8,1,9,1,8,1,9,2,10,1,11,1,16,1,11,2,9,2,16,1,9,4,13,1,9,2,11,1,13,1,11,1,13,1,9,1,11,2,9,2,11,1,9,2,10,1,16,1,11,1,13,1,11,1,9,1,10,1,9,1,11,1,9,2,11,2,9,4,11,1,16,3,11,11,16,3,9,1,16,1,11,1,16,1,11,1,16,1,11,4,16,1,9,1,16,1,11,3,16,2,11,2,9,2,8,1,13,1,9,2,11,1,9,1,8,1,9,2,8,1,13,2,11,1,9,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,2,13,1,9,6,11,1,9,1,13,2,9,1,13,3,9,2,10,1,9,2,8,1,13,1,9,1,13,3,9,1,13,2,8,1,13,1,9,1,13,1,9,1,10,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,3,8,2,9,1,13,1,8,1,9,3,13,3,8,1,13,5,9,1,13,1,9,1,8,1,13,1,8,1,9,1,13,2,8,1,13,7,7,1,8,1,13,2,8,1,13,2,8,3,13,2,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,3,9,2,8,1,10,1,9,2,13,1,9,1,13,1,9,3,13,1,9,2,10,1,9,1,8,1,9,3,11,1,9,4,13,1,9,1,13,1,9,3,11,1,9,4,10,1,9,5,13,3,9,1,13,1,6,1,13,1,28,2,6,1,33,44,5,372,13,2,28,14,13,1,28,1,30,1,28,12,30,1,28,1,29,1,28,1,29,1,28,2,29,1,28,16,30,1,28,1,7,1,29,1,7,1,30,1,6,1,30,1,7,1,30,1,13,1,6,1,7,1,8,1,13,2,7,1,30,1,13,2,6,2,13,2,30,1,6,3,29,1,6,1,29,1,30,1,29,1,28,2,13,1,28,1,29,1,30,1,28,1,29,1,28,1,30,3,29,1,28,1,6,2,29,2,28,2,30,1,6,1,30,2,6,2,29,1,7,1,6,2,7,1,6,2,7,1,29,1,6,1,29,1,13,1,7,1,6,1,7,1,13,4,8,1,9,1,8,2,13,1,8,3,9,2,8,2,9,2,11,1,9,1,11,1,9,1,11,3,9,1,11,1,10,1,16,1,9,1,13,1,29,1,13,1,9,1,13,6,30,1,13,3,30,1,13,2,6,1,13,4,9,1,13,4,6,1,13,5,9,3,13,2,9,3,11,2,9,3,11,1,9,1,13,1,9,6,13,1,9,1,13,1,9,3,11,1,9,1,11,4,9,1,16,1,11,1,9,4,16,1,11,1,17,1,16,1,9,1,16,1,9,1,8,1,13,1,9,2,30,1,13,1,6,1,13,1,6,1,13,1,6,2,30,2,6,1,30,1,6,1,28,1,6,2,13,2,11,1,9,1,11,1,9,2,13,1,30,2,6,1,13,1,6,1,13,2,30,1,6,1,13,1,6,1,8,1,9,2,16,8,11,1,16,1,9,2,16,3,11,1,16,1,11,1,9,2,16,2,11,1,9,2,11,1,9,1,16,3,9,1,16,7,11,1,9,3,16,4,11,1,9,1,16,1,9,3,13,1,6,1,28,3,13,1,9,1,17,1,16,1,10,1,9,2,24,1,9,1,10,1,9,1,8,1,24,2,7,1,6,2,29,2,6,1,29,1,30,1,13,1,7,1,6,4,7,1,29,1,6,1,8,1,6,2,8,1,29,2,13,1,7,1,6,3,13,1,29,1,13,3,7,1,6,1,13,1,7,1,29,1,24,1,8,1,7,1,13,1,24,1,6,1,8,1,6,3,7,3,29,1,8,1,7,1,6,1,13,1,6,1,7,1,13,4,8,2,13,1,8,1,24,1,13,1,8,1,13,2,24,1,9,1,13,1,9,1,8,1,9,2,13,1,9,3,13,1,11,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,10,1,9,4,11,2,13,1,11,1,10,3,13,1,9,1,13,4,7,1,13,1,7,1,13,2,7,1,13,3,8,1,13,3,8,4,13,1,24,1,13,2,9,1,8,1,13,1,8,1,13,1,9,1,8,2,9,3,8,1,9,1,13,1,9,3,10,1,8,2,9,1,10,2,9,2,11,1,9,1,11,2,10,1,11,1,9,1,11,1,9,1,11,1,9,2,16,1,11,2,9,1,10,1,9,2,11,2,16,1,11,1,16,1,9,1,16,2,10,1,11,1,16,1,9,1,11,2,9,1,11,2,16,1,11,3,9,1,16,1,9,1,11,1,17,2,10,1,11,1,13,1,8,1,9,1,11,2,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,3,6,1,7,2,29,1,8,2,13,1,8,1,13,1,8,1,13,2,8,1,6,1,13,1,6,2,28,1,30,1,6,2,30,1,6,2,30,1,6,2,7,2,13,1,28,1,29,1,28,1,6,1,13,1,7,1,6,1,13,1,10,1,9,3,12,1,17,1,11,1,17,1,10,1,9,1,7,2,6,1,30,1,6,1,7,1,6,1,7,1,8,1,9,1,10,2,11,1,9,8,10,1,9,1,10,2,9,5,8,2,9,1,13,2,9,1,13,5,8,1,6,1,9,1,8,1,13,1,7,1,13,1,8,1,9,1,10,1,11,1,10,1,11,4,17,15,11,1,17,1,16,2,17,2,11,2,17,2,12,2,17,2,11,3,17,1,16,1,17,1,10,1,17,2,12,1,17,1,12,1,17,1,10,1,12,1,9,2,6,1,9,1,10,1,8,1,17,1,12,2,10,2,11,1,12,2,17,1,11,1,12,1,8,1,9,2,10,1,11,1,12,1,9,3,10,1,17,1,8,1,9,1,12,1,24,2,10,1,24,1,8,2,24,1,13,1,24,1,8,1,24,2,13,1,24,1,13,1,8,2,24,1,9,1,24,1,8,1,10,1,9,1,12,1,11,1,10,1,11,1,17,1,12,1,10,1,17,3,11,1,17,1,12,1,17,1,10,1,17,1,11,1,10,1,17,3,12,1,11,1,17,1,12,1,24,1,12,1,9,1,17,1,12,1,11,1,17,3,12,1,11,1,10,1,12,1,17,1,12,2,17,1,10,1,17,8,16,1,11,1,10,1,6,1,28,1,5,36,28,14,14,2,16,1,11,1,8,1,13,2,7,1,29,2,6,1,28,1,13,2,8,1,10,1,11,1,24,1,28,6,9,1,17,1,9,1,30,1,28,2,6,1,28,26,13,1,17,2,8,2,30,1,6,1,24,1,16,1,8,1,13,1,6,2,28,3,30,1,7,1,}, {30,1,28,1,24,1,15,1,10,1,24,1,13,3,30,1,13,1,14,2,7,1,28,22,6,1,28,14,29,1,8,1,12,1,9,1,10,1,8,1,12,1,17,2,8,1,29,3,30,1,29,1,24,1,15,1,13,1,6,1,8,1,30,1,24,2,9,2,10,1,8,1,13,1,14,2,6,1,29,2,6,1,29,1,6,1,17,2,12,1,16,1,9,1,10,1,9,1,10,1,8,1,9,1,12,1,17,1,12,2,16,1,11,1,9,1,11,1,17,1,9,1,29,1,28,6,30,1,28,17,30,1,13,1,8,2,9,1,24,1,10,1,17,1,13,1,30,1,28,1,29,1,30,2,6,1,8,1,16,1,12,1,17,1,10,1,24,1,7,1,8,1,13,1,8,4,13,2,24,1,9,1,17,1,6,1,28,13,30,1,13,1,17,12,11,1,9,2,13,1,8,2,7,4,6,1,29,1,6,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,28,52,30,1,28,20,29,1,7,1,8,1,12,2,10,1,12,3,10,2,12,1,24,1,12,2,17,1,24,1,17,1,9,1,10,1,24,1,10,1,12,1,24,4,8,2,29,1,7,1,6,1,30,1,29,1,6,1,29,1,28,1,30,1,28,4,30,1,6,3,13,1,24,1,8,1,24,2,8,2,24,1,8,1,24,2,25,1,8,2,7,1,6,1,30,1,7,1,6,2,28,3,6,1,28,1,29,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,29,1,28,3,30,2,28,1,30,1,28,5,30,1,28,4,29,1,28,1,30,1,28,78,30,2,25,1,7,1,28,3,30,2,8,1,6,1,30,2,29,1,6,1,28,1,29,2,30,1,6,4,29,1,28,1,13,1,8,1,7,1,13,1,6,1,30,1,6,2,29,2,13,1,6,1,29,1,7,1,30,1,6,1,30,1,6,1,28,1,6,1,28,1,6,1,28,1,29,1,7,1,6,1,29,1,6,1,29,1,28,1,29,1,30,1,29,2,30,3,13,1,8,1,6,1,13,1,7,1,8,1,13,1,6,1,8,3,12,1,8,1,24,1,8,1,24,2,10,1,8,1,7,1,24,1,9,1,12,1,9,2,24,1,9,1,24,1,13,1,24,2,13,1,8,1,10,1,13,1,8,2,24,2,8,1,24,1,12,2,9,2,17,1,9,1,8,1,24,1,7,1,29,3,28,32,30,1,28,1,29,1,6,1,28,1,6,1,7,1,6,1,7,2,6,1,13,2,7,1,8,1,9,2,12,1,9,1,8,1,9,1,17,1,8,1,24,2,8,1,17,1,24,1,13,3,8,1,7,1,24,1,8,1,26,1,8,1,25,1,8,1,25,1,27,1,25,1,26,1,8,1,24,1,25,1,8,4,25,2,8,1,24,2,9,1,10,1,17,1,9,1,17,1,10,2,11,1,10,1,17,2,13,1,30,1,28,1,30,2,28,23,30,1,29,1,30,1,29,1,30,1,28,28,7,1,6,1,13,1,6,1,13,1,8,1,24,2,12,1,9,1,24,1,10,1,8,1,11,1,17,1,10,1,17,1,9,1,11,1,17,1,9,1,11,1,13,2,9,1,16,2,9,1,11,2,17,1,16,1,11,1,9,1,8,1,9,2,13,1,11,1,9,2,8,1,16,1,9,1,11,1,10,1,9,2,11,1,9,7,11,2,9,1,11,1,16,1,9,2,11,3,9,2,11,3,9,1,11,1,10,1,11,1,10,1,9,2,11,1,9,1,11,1,10,1,11,1,9,2,10,1,11,2,16,1,11,1,16,1,9,1,16,1,11,5,16,3,11,1,16,1,11,1,16,1,9,3,11,1,9,1,13,1,11,1,8,1,10,1,9,1,10,1,9,2,10,1,13,1,9,2,13,1,8,1,9,1,8,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,9,5,10,1,13,1,9,2,13,1,9,1,8,1,9,2,13,2,9,1,13,1,8,1,9,1,8,1,13,1,9,1,13,3,9,1,13,3,11,1,13,2,9,1,13,1,8,1,13,1,9,2,13,1,9,4,13,1,9,1,13,2,8,2,13,1,8,2,13,1,8,1,13,1,8,2,13,1,8,1,9,2,13,1,9,3,13,3,9,1,13,1,9,1,8,1,13,2,8,2,13,1,8,1,13,3,9,1,13,1,9,1,13,1,9,1,13,3,9,1,13,2,8,1,9,1,6,1,13,2,9,1,13,1,9,4,13,1,11,1,8,1,13,1,8,1,9,1,8,1,9,2,8,1,9,6,11,1,9,1,11,1,9,3,11,1,9,5,8,1,9,2,8,1,13,1,9,1,11,1,10,1,9,1,11,1,9,4,13,1,8,1,9,1,13,3,6,1,30,1,28,1,30,1,33,44,5,372,33,1,9,1,28,14,13,1,29,1,28,17,30,1,28,3,30,3,28,3,30,1,28,10,29,1,30,1,29,1,7,1,6,1,29,2,6,1,13,1,6,1,13,1,7,1,30,1,6,2,13,1,7,1,13,1,6,1,29,1,13,1,29,1,7,2,6,1,7,1,6,1,7,1,6,1,29,1,6,1,29,1,6,1,29,1,30,1,28,1,6,1,30,1,29,1,30,2,6,1,8,1,6,3,30,1,28,1,6,2,30,1,29,1,6,1,29,1,30,1,7,1,13,1,29,1,6,2,13,1,28,1,6,3,30,1,13,1,29,1,7,3,13,1,6,1,13,3,9,1,8,1,9,1,8,1,13,2,10,1,8,2,9,3,10,1,11,1,10,1,11,2,16,1,11,4,9,3,11,1,16,2,9,1,6,1,9,1,13,2,9,1,13,3,6,1,13,3,6,1,13,1,6,2,13,3,30,1,13,3,6,1,9,1,8,1,6,1,30,1,13,1,6,1,13,1,6,2,13,2,6,1,13,5,11,1,13,1,9,1,13,4,9,2,13,2,9,1,13,9,9,1,13,1,9,1,13,1,9,3,13,1,16,1,11,1,16,2,11,2,16,2,9,1,16,1,9,1,11,2,9,2,13,1,9,6,11,1,13,2,6,1,13,1,6,2,30,2,13,2,9,1,11,2,9,1,13,2,28,1,13,1,6,1,13,1,6,1,13,2,30,1,13,1,30,1,6,1,13,1,9,1,16,6,17,2,11,1,16,1,11,1,13,1,16,1,9,1,11,1,16,2,11,4,16,3,11,2,16,1,9,1,11,1,16,2,11,3,16,1,11,1,16,3,11,2,9,1,16,4,11,1,9,1,11,1,16,1,9,2,8,1,30,1,13,1,30,1,28,2,7,1,11,1,14,1,9,2,12,1,10,1,8,1,17,1,12,1,24,2,29,1,6,1,29,1,30,1,8,1,29,1,6,1,7,2,6,1,7,1,29,1,7,1,6,1,7,3,6,1,7,1,13,1,6,1,13,2,6,1,13,1,6,1,8,1,13,1,7,1,13,3,8,1,6,1,13,2,8,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,8,1,6,1,7,1,29,1,13,1,6,1,29,2,13,1,6,1,7,1,6,1,13,1,7,3,8,1,13,1,24,1,9,1,6,1,8,2,24,1,9,1,8,2,13,2,8,2,9,1,8,1,9,1,8,2,9,3,10,1,9,1,11,2,10,1,11,4,9,3,10,1,9,4,8,1,9,3,13,1,8,1,13,3,7,2,6,1,7,1,6,1,13,4,8,1,13,7,8,1,13,1,9,1,8,1,13,1,24,1,13,1,9,1,8,1,24,1,13,1,9,2,13,1,9,2,13,1,8,1,11,1,9,1,13,1,9,2,10,1,9,1,13,1,9,1,11,1,9,1,11,1,10,2,11,1,9,4,11,2,9,3,11,3,9,5,16,1,11,2,17,1,9,1,11,1,9,1,11,1,16,1,11,3,9,1,11,2,9,1,16,3,11,3,16,1,11,1,17,2,9,1,8,1,9,1,8,1,9,1,13,1,9,2,6,1,8,1,13,1,8,2,13,3,7,1,13,1,7,1,13,1,7,1,30,1,13,6,8,1,9,1,13,3,6,1,28,1,6,3,7,1,13,1,6,4,29,1,6,3,30,1,29,2,13,2,8,1,13,2,9,1,8,1,9,1,11,2,17,1,12,1,11,1,10,1,9,1,13,2,30,4,6,1,13,2,9,2,10,1,9,2,10,1,9,2,10,1,11,1,10,1,11,3,10,1,9,2,8,1,10,1,9,1,10,1,8,2,9,1,13,1,8,1,13,2,8,2,13,1,9,1,10,1,13,2,8,1,13,1,7,1,6,1,7,1,9,3,10,2,11,2,12,1,17,1,11,1,17,17,11,1,17,2,11,2,17,2,11,3,17,1,11,2,17,2,11,1,17,2,11,3,17,1,11,1,17,1,10,1,9,2,13,2,9,2,11,1,8,1,12,1,17,1,12,3,17,1,9,1,17,1,10,2,11,1,12,1,9,1,11,1,12,1,9,4,11,1,10,1,9,2,10,1,9,1,7,1,10,1,24,2,8,1,24,1,7,1,8,1,24,1,7,1,24,2,12,1,13,1,8,1,24,1,9,2,17,1,24,1,17,1,9,1,11,1,12,1,9,1,17,1,8,1,12,1,24,1,10,1,12,1,11,1,10,3,17,2,9,2,17,1,8,1,10,4,17,1,11,2,12,1,17,1,12,1,11,1,9,1,17,1,9,1,10,1,24,1,9,2,24,1,12,1,17,1,12,1,17,9,12,1,11,1,8,1,13,1,33,1,5,34,33,1,28,13,6,1,16,1,17,1,16,1,11,1,12,1,8,1,13,1,6,2,29,1,30,1,29,1,6,1,7,1,24,1,10,1,17,1,13,1,28,6,9,1,11,1,24,1,6,1,28,29,8,1,17,2,9,1,13,1,6,1,30,1,9,1,12,1,9,1,13,1,7,1,28,5,6,1,}, {30,1,29,1,24,1,17,1,9,1,24,1,9,1,7,1,6,1,7,1,13,1,14,1,11,1,6,1,28,35,6,1,28,1,29,2,9,1,24,1,9,1,10,2,17,1,10,1,8,1,6,1,30,1,6,1,29,1,30,1,9,1,12,1,13,3,6,1,8,1,13,1,10,1,12,1,24,1,8,1,7,1,9,1,10,1,8,1,6,2,30,1,29,1,6,1,10,1,17,1,12,1,16,1,17,1,9,1,12,1,9,1,24,1,8,2,15,1,16,1,12,1,16,1,11,1,17,1,12,1,17,1,10,1,29,1,28,3,29,1,28,4,30,1,28,7,6,1,29,1,28,5,30,1,28,1,8,2,13,1,8,1,10,1,17,1,10,1,7,1,6,2,29,1,6,1,29,1,13,1,9,1,17,2,12,1,9,2,24,1,13,1,8,1,6,1,30,1,13,1,6,2,8,2,9,1,8,1,13,1,28,11,30,1,28,2,30,1,17,12,12,1,9,2,24,1,6,1,8,1,7,1,6,1,7,1,8,1,29,1,6,1,7,1,29,2,28,2,29,1,30,1,28,50,30,2,6,1,30,1,29,1,30,3,28,21,29,1,24,1,10,1,12,2,9,1,24,1,17,1,10,1,12,1,17,1,12,4,9,1,24,1,12,1,10,1,9,1,24,1,9,1,8,1,9,1,24,1,13,1,7,1,6,2,30,1,28,4,30,1,28,1,30,1,29,1,30,1,7,1,29,1,6,1,13,1,24,1,8,2,24,1,8,1,24,1,8,2,13,1,24,2,8,2,6,1,7,1,28,1,7,1,28,1,30,1,29,1,30,1,28,1,6,1,29,1,30,3,28,1,29,1,28,1,30,1,28,2,29,2,28,10,30,1,28,84,30,1,28,2,25,1,28,2,30,1,28,2,29,1,28,1,13,1,30,1,6,2,29,1,30,1,6,2,28,1,13,1,6,1,28,1,30,1,7,1,6,3,7,1,28,1,8,1,13,1,7,1,29,2,6,1,29,1,30,2,6,1,28,2,6,1,28,2,6,1,7,1,30,1,7,2,6,2,30,1,6,1,29,1,6,1,30,1,6,1,28,1,30,3,13,1,6,1,30,1,7,1,6,1,8,1,6,1,7,1,8,2,7,1,24,1,7,2,24,4,9,1,13,1,9,1,13,1,24,1,9,1,17,1,12,1,24,1,10,1,7,1,24,1,8,1,13,1,24,1,13,1,24,1,10,1,13,1,8,1,24,2,13,1,24,1,8,1,24,1,12,1,9,1,10,1,17,1,12,1,17,1,10,1,13,1,6,1,30,1,28,33,30,1,28,2,6,2,30,1,6,3,29,1,6,1,24,1,6,1,13,1,8,1,24,2,9,1,17,1,9,1,11,1,10,2,24,1,12,1,24,1,8,2,12,1,8,1,13,1,8,1,7,1,8,1,25,1,8,3,25,3,24,1,8,4,25,1,24,2,8,1,24,1,25,1,8,1,24,5,9,1,11,1,12,1,17,1,12,1,11,1,17,2,11,1,6,1,28,1,30,1,28,1,29,1,28,21,29,1,30,1,28,1,6,1,28,1,30,1,28,27,29,1,6,2,13,1,8,2,12,1,24,1,9,1,10,1,24,1,12,2,9,1,10,1,12,1,9,2,12,1,17,1,9,1,11,1,9,1,6,1,13,1,11,3,16,1,11,2,9,1,17,1,16,1,9,5,13,2,9,1,11,1,9,3,13,1,9,1,11,1,10,1,9,1,10,1,9,1,10,1,11,1,9,4,13,1,9,1,11,1,9,1,11,1,9,3,11,1,16,1,9,1,11,1,9,1,11,1,10,1,11,3,16,2,9,2,11,2,9,1,16,2,9,1,11,1,9,1,11,1,9,1,16,1,9,3,11,1,16,1,9,1,11,1,16,1,11,2,16,1,11,2,16,1,11,1,9,3,8,1,11,3,9,5,8,1,11,1,9,7,13,1,9,1,8,2,13,6,9,6,13,1,9,2,13,2,9,1,13,2,9,5,13,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,9,1,11,1,8,2,13,1,9,4,13,1,8,1,13,2,9,1,13,3,9,1,13,1,9,1,13,1,8,1,9,1,13,2,9,1,13,2,8,1,13,2,8,2,9,1,8,1,13,2,9,1,13,2,8,1,13,1,8,1,13,1,8,1,13,1,9,1,13,5,9,1,13,2,8,1,13,2,8,1,9,1,13,2,9,1,8,1,13,5,8,1,13,1,8,1,9,1,10,1,13,1,10,1,9,3,10,1,9,1,13,1,9,3,8,1,9,1,8,1,13,1,9,2,13,1,8,1,11,1,9,1,11,3,9,1,11,1,9,3,8,1,13,2,8,1,9,4,11,1,9,10,13,1,9,1,13,1,6,1,28,3,33,45,5,372,17,1,28,12,30,1,28,1,6,2,30,1,28,11,30,1,28,2,30,2,28,1,30,1,28,1,30,1,6,1,30,1,6,1,30,2,28,2,30,1,28,10,30,2,6,1,30,1,29,1,6,2,13,1,29,1,7,1,6,2,13,4,7,1,6,1,7,1,6,2,29,1,6,1,13,1,6,3,7,2,30,1,29,1,6,1,29,1,7,1,28,1,30,1,29,1,7,1,30,1,28,2,30,1,6,1,30,2,29,1,6,3,30,2,29,2,6,4,13,1,28,1,13,2,6,2,8,1,6,1,13,3,8,1,7,2,13,1,8,3,13,1,9,2,13,1,8,2,13,1,10,1,9,5,11,2,10,1,11,1,9,1,11,1,9,1,11,4,9,1,16,4,11,1,13,2,9,1,13,1,8,1,13,3,30,1,13,4,6,1,13,3,9,3,13,3,9,1,13,1,9,2,6,2,8,1,6,1,30,1,13,1,6,1,30,1,13,2,6,2,13,2,6,1,13,9,30,1,13,1,6,1,13,1,6,2,13,2,6,1,13,1,6,2,13,1,6,2,13,1,9,4,11,2,16,3,11,1,16,2,11,1,9,1,16,2,9,1,11,1,9,2,16,1,9,2,11,1,16,3,30,1,28,1,13,2,28,1,30,1,9,4,11,1,16,1,9,1,13,2,30,2,13,1,30,1,6,3,13,1,6,1,30,1,6,1,30,1,6,1,13,1,9,1,16,5,11,1,16,2,9,1,11,1,13,1,16,1,13,1,16,1,11,1,16,4,9,1,16,1,9,2,16,2,13,1,9,1,16,2,11,1,16,4,9,1,16,2,11,1,9,1,11,1,16,2,11,1,16,3,11,1,16,2,9,2,13,2,28,1,30,1,28,2,13,1,17,2,9,1,10,1,17,1,9,1,12,1,8,2,7,1,6,3,29,1,7,3,6,1,29,1,24,1,30,1,13,1,7,1,6,2,7,1,6,1,7,2,8,1,29,1,6,1,7,1,24,1,13,1,7,1,8,1,13,1,6,1,8,1,7,1,13,1,8,2,13,4,8,1,13,3,7,1,6,1,8,1,29,1,6,1,7,1,6,1,8,1,13,1,29,1,6,1,13,1,30,1,13,2,6,1,7,3,8,1,24,2,13,2,7,1,8,2,24,1,9,2,13,1,9,2,13,1,9,1,10,1,13,1,9,2,11,3,9,1,11,1,16,1,9,1,11,1,16,1,11,2,9,1,11,1,9,2,8,1,10,2,8,1,9,2,13,2,8,1,7,1,13,4,6,1,13,1,6,1,24,1,7,1,13,1,8,1,13,1,7,1,13,3,8,1,9,1,13,3,24,1,8,1,13,1,8,2,13,3,8,3,13,1,8,1,9,3,8,1,9,3,11,2,9,1,8,1,11,1,9,4,10,1,9,1,11,1,10,1,9,1,11,1,10,1,9,2,11,1,9,2,11,1,9,5,11,1,9,1,11,1,9,3,11,1,16,2,11,3,9,1,11,7,16,2,11,2,16,1,11,2,8,1,11,1,9,2,11,1,9,1,8,1,13,2,7,1,13,1,7,1,13,1,8,1,13,1,7,1,13,2,7,1,13,2,29,1,30,1,29,1,13,3,8,2,13,1,8,1,13,3,28,1,30,2,6,1,7,1,13,1,6,2,30,1,6,1,30,1,13,1,28,1,30,4,7,1,6,2,13,1,9,1,13,2,9,1,8,1,9,2,10,1,11,1,10,2,8,1,13,1,6,1,28,1,6,2,7,1,30,1,6,1,8,1,9,2,8,1,10,1,8,1,10,1,9,1,11,1,17,1,10,1,11,1,10,1,9,1,11,1,9,1,10,1,9,4,10,1,9,3,8,3,13,1,8,1,13,1,8,2,13,1,9,1,13,1,8,1,13,1,7,1,13,2,9,3,10,1,9,2,11,1,12,1,11,1,17,2,11,1,17,8,16,1,17,1,11,1,17,5,11,1,17,4,12,1,17,5,16,1,17,2,11,1,17,2,12,1,17,1,11,2,12,1,17,1,12,1,8,1,13,1,7,1,9,1,10,1,17,1,12,1,9,1,11,1,10,1,17,1,10,1,17,1,12,1,17,4,10,1,17,2,11,1,24,2,10,1,12,1,10,1,9,2,8,2,10,1,9,2,24,1,8,2,24,2,8,2,24,1,13,1,6,1,12,1,8,1,12,1,8,1,10,1,9,1,24,1,17,1,9,1,17,1,9,1,10,1,9,3,17,1,12,1,10,1,17,2,11,1,17,1,12,1,17,1,12,1,17,3,12,1,11,1,12,1,11,1,17,2,11,2,10,1,12,2,9,2,10,1,24,1,10,2,9,1,11,1,9,1,24,1,17,2,12,1,17,2,12,1,17,3,11,2,17,1,12,1,11,1,9,1,13,1,5,34,33,1,28,13,30,1,14,1,16,2,11,1,12,1,8,1,6,2,30,1,28,1,6,1,7,1,13,2,8,1,11,1,17,1,13,1,28,6,9,1,17,1,13,1,7,1,28,1,30,1,28,27,6,1,17,2,9,1,7,1,6,1,28,1,9,1,10,1,9,1,13,2,28,5,6,1,}, {28,1,30,1,24,1,8,1,9,1,24,1,8,1,13,1,6,1,13,1,8,1,15,2,7,1,28,35,7,1,28,1,6,2,8,1,10,1,24,1,10,1,9,1,14,1,10,1,6,1,29,2,6,2,29,1,24,1,17,1,8,1,6,1,13,1,6,3,10,1,9,2,8,1,13,1,15,1,14,1,7,1,29,1,7,2,28,1,6,1,11,1,12,1,17,1,10,1,17,1,9,1,10,1,8,1,9,1,24,1,8,1,17,2,12,1,17,1,11,1,9,2,17,1,10,1,29,1,30,1,28,1,30,1,28,21,29,1,24,1,13,2,12,1,24,1,10,1,9,1,6,1,30,2,6,1,30,1,6,1,30,1,9,1,16,1,17,3,9,1,8,1,13,1,8,2,24,1,8,2,7,1,13,1,8,1,12,1,14,1,6,1,30,1,28,6,30,1,28,5,30,1,13,1,11,1,17,11,12,1,13,1,8,2,13,1,7,1,6,1,8,1,6,1,13,1,7,1,29,1,30,1,7,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,40,6,5,29,3,28,23,7,1,8,1,9,1,17,1,12,1,9,1,10,1,12,1,9,1,10,1,8,1,12,5,10,1,9,1,13,1,24,1,8,1,24,1,9,1,8,1,13,1,8,2,6,1,13,1,30,1,13,1,7,1,28,1,6,2,30,1,7,1,29,1,8,1,6,1,8,2,24,1,13,1,8,2,24,2,8,1,25,1,24,1,7,1,12,1,8,1,30,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,29,1,28,1,30,1,28,5,29,1,28,1,29,1,28,81,6,1,28,4,30,2,6,1,30,1,28,1,6,2,30,2,28,1,6,1,29,1,8,1,6,1,28,1,29,1,7,2,28,1,29,1,30,1,28,1,7,1,6,1,29,1,6,1,30,1,8,2,13,1,30,1,6,1,29,2,30,1,29,1,7,1,28,1,6,2,30,1,28,2,29,1,6,1,13,1,30,1,7,1,28,1,29,1,6,1,30,2,28,1,30,1,28,1,29,1,28,1,6,1,7,1,29,1,13,1,8,1,7,1,8,1,6,1,24,1,7,1,8,1,7,1,13,2,8,1,13,1,7,1,6,1,8,2,10,1,24,2,13,1,24,1,8,1,9,1,10,1,8,1,24,2,8,1,13,1,24,1,8,1,24,1,6,1,8,1,24,2,8,1,24,1,13,1,8,1,9,1,10,1,9,1,10,1,17,1,9,1,12,1,8,1,24,1,6,1,7,1,30,1,28,32,30,1,28,1,29,1,6,1,29,1,7,3,13,3,12,1,13,1,8,1,24,2,9,1,11,1,9,1,11,1,10,1,9,1,24,1,10,1,12,1,24,1,9,1,8,1,10,1,24,2,8,1,7,1,25,1,26,1,8,1,25,1,24,2,25,1,27,1,8,1,25,2,8,2,25,1,24,1,25,1,8,2,24,2,10,1,24,1,10,1,8,1,12,1,10,2,12,1,17,5,9,1,30,1,28,24,6,1,28,1,6,1,29,2,28,26,29,1,28,1,6,2,30,1,13,1,7,1,13,1,8,1,24,1,12,1,9,1,12,2,24,1,12,1,10,1,9,1,12,2,10,2,17,1,8,1,10,1,8,1,13,1,9,1,16,1,11,1,16,2,11,4,10,1,11,1,16,2,9,1,8,1,9,2,8,1,9,1,10,1,13,1,9,2,11,1,9,1,11,1,9,1,8,1,11,1,9,6,16,1,9,1,11,1,9,2,11,2,9,2,11,2,9,1,16,1,10,1,16,1,11,1,9,2,11,1,9,1,16,1,11,1,9,1,11,2,9,1,11,1,9,3,11,1,9,8,16,1,9,1,10,1,11,1,9,1,11,1,9,4,11,1,9,1,11,1,9,5,11,2,9,3,13,1,9,2,10,1,9,4,11,2,9,1,13,1,9,1,13,1,9,2,13,1,9,1,8,2,9,1,13,1,9,2,13,1,11,1,9,4,8,2,9,1,13,1,9,3,8,1,9,4,13,1,9,2,10,1,9,1,13,1,9,1,8,1,9,4,8,1,13,2,9,1,8,1,13,3,6,1,13,3,9,1,6,1,13,3,8,1,13,2,9,2,13,1,9,1,13,2,9,1,13,2,9,1,8,1,13,5,9,1,8,1,13,1,9,1,13,2,8,1,13,2,9,1,8,1,13,4,9,2,7,1,13,1,8,1,13,3,9,2,13,1,9,1,7,1,13,3,9,2,13,1,9,2,8,2,13,1,9,1,8,1,11,1,9,2,8,1,13,1,9,4,11,1,9,4,11,1,9,2,13,1,9,2,13,1,9,2,13,2,9,1,11,1,9,3,11,1,13,1,9,5,13,1,6,2,28,2,6,1,33,45,5,372,6,1,28,8,29,1,30,1,28,2,30,1,6,1,30,1,6,1,30,1,28,2,29,1,30,1,29,1,28,1,30,1,6,1,28,3,30,1,29,1,30,3,29,1,6,1,28,1,30,1,29,2,30,2,28,2,30,1,28,4,30,1,28,4,6,1,30,2,6,1,28,1,6,1,13,1,6,1,30,1,6,1,13,2,6,1,13,1,7,2,6,3,8,1,6,1,13,1,30,1,6,1,13,1,30,1,7,1,30,1,29,1,6,2,30,2,6,1,13,1,28,1,29,1,28,1,7,1,6,1,7,1,30,2,29,1,6,1,7,2,6,1,30,1,6,1,13,1,6,4,7,1,30,1,13,6,6,1,7,1,13,2,7,1,6,1,24,1,13,3,9,1,13,1,9,1,8,1,9,2,8,2,9,7,10,1,9,2,11,5,10,1,11,4,16,5,11,1,13,4,9,1,13,2,6,1,13,1,6,1,13,1,30,1,6,1,30,1,9,2,8,1,9,2,13,1,11,1,16,1,9,1,11,1,9,1,16,1,9,3,13,5,6,2,13,1,6,1,30,1,13,1,6,2,13,10,30,1,13,4,6,2,13,1,6,1,13,4,9,2,6,2,8,1,13,4,11,1,13,1,16,1,11,1,16,4,11,1,16,1,9,2,11,2,16,1,9,1,11,1,16,2,13,1,28,1,13,1,28,2,13,1,9,4,16,1,9,2,16,1,9,1,13,1,6,1,13,1,6,1,13,1,30,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,9,1,16,1,11,1,16,3,17,1,16,3,11,1,9,2,11,1,16,3,11,1,16,1,9,2,16,1,11,1,9,1,16,1,9,1,16,1,17,1,16,2,11,3,16,7,9,1,16,1,11,1,16,2,11,1,16,1,9,3,13,3,6,2,28,1,13,1,16,1,17,1,24,1,12,1,24,1,12,1,10,1,24,1,8,1,13,2,6,3,7,1,29,1,6,1,7,1,13,1,6,2,29,1,6,1,13,1,8,1,7,1,6,1,7,1,8,1,7,1,13,2,7,2,8,5,13,1,8,1,9,1,13,1,8,2,13,2,8,1,13,4,6,1,13,1,6,1,8,1,6,1,13,1,7,1,6,1,7,1,6,1,13,2,7,1,13,2,8,1,13,1,24,1,8,2,13,1,8,1,24,1,8,4,13,1,9,2,13,1,9,1,8,1,10,1,9,2,10,2,9,1,11,3,9,1,11,1,9,1,16,1,9,1,16,1,11,2,13,1,9,3,8,1,11,1,13,1,9,1,13,2,6,1,8,1,7,1,13,1,7,1,6,1,8,1,6,2,7,1,6,1,13,2,7,1,6,1,13,2,7,1,13,4,8,2,13,2,8,1,13,5,8,1,13,1,8,1,9,1,11,1,13,1,9,3,8,1,9,1,10,1,13,1,8,1,9,1,13,1,10,1,13,1,11,1,9,1,11,2,8,1,17,1,10,1,9,2,11,1,9,2,10,1,11,1,9,2,11,1,9,1,11,3,9,1,10,1,9,2,11,2,9,1,11,1,9,2,11,1,16,5,11,1,9,1,16,1,9,1,16,1,11,3,16,2,9,1,11,1,17,2,11,2,9,1,11,1,9,1,6,1,13,2,6,2,13,1,6,1,7,1,6,2,13,2,6,2,30,2,13,9,8,1,13,1,6,3,13,1,28,1,7,1,30,1,7,1,6,1,30,1,28,4,30,2,6,2,13,1,6,1,13,3,8,2,13,1,9,5,8,1,13,1,30,2,7,1,28,1,6,1,7,1,29,1,7,1,8,1,9,1,10,1,9,1,8,1,11,1,13,1,10,1,11,1,10,1,11,1,10,1,11,1,9,3,10,2,9,4,8,1,9,2,13,4,8,1,9,1,8,1,9,1,8,4,13,4,9,6,11,1,12,1,17,1,11,1,17,19,12,2,17,1,12,1,17,3,16,1,17,1,16,1,11,1,12,2,17,2,12,1,11,1,10,1,11,3,12,1,9,2,30,1,6,1,9,1,17,2,11,2,12,2,17,2,12,1,17,1,10,1,17,1,10,1,17,1,12,2,11,1,9,1,17,1,9,1,12,1,8,1,9,1,8,1,9,1,24,1,8,2,24,1,8,1,13,1,8,1,9,1,8,1,24,1,9,1,7,1,8,2,24,1,9,1,24,2,9,2,8,1,10,2,11,1,8,1,12,4,17,2,11,1,9,1,17,1,12,1,9,4,12,1,9,1,10,1,17,1,11,1,12,1,17,1,11,1,12,1,11,2,10,1,17,1,24,1,12,1,9,1,10,2,24,2,9,2,13,1,24,1,13,1,9,1,10,1,11,1,12,2,17,9,5,35,6,1,28,13,6,1,17,1,16,1,17,1,10,1,9,2,13,1,8,1,6,2,29,1,8,1,13,1,8,2,9,1,12,1,24,1,28,6,11,1,17,1,13,1,7,1,28,29,6,1,14,1,16,1,7,2,6,2,24,1,16,1,8,1,13,2,6,1,28,4,29,1,}, {29,1,30,1,13,1,9,2,8,2,24,1,13,1,6,1,13,1,14,1,24,1,6,1,28,35,29,1,30,1,6,2,8,1,24,1,8,1,9,1,12,1,14,1,12,1,7,1,13,1,6,1,29,1,6,1,28,1,9,1,17,1,9,1,8,1,13,1,6,1,13,1,10,1,12,2,10,1,13,1,24,2,9,1,8,1,29,1,6,2,30,1,6,1,13,1,16,1,17,1,11,3,9,2,13,1,9,2,17,5,10,1,17,2,9,1,7,1,28,23,6,1,28,1,24,2,9,1,24,1,9,1,12,1,17,1,29,2,30,1,29,1,7,1,30,1,6,1,24,1,12,1,17,1,16,2,24,2,8,1,13,1,9,1,24,1,9,2,8,2,9,1,24,1,14,1,7,1,30,1,28,3,30,1,28,9,13,1,17,5,16,1,17,5,10,1,11,1,8,1,6,2,7,1,6,1,7,1,8,1,6,1,13,1,6,1,8,1,6,3,30,2,26,2,28,1,6,1,29,1,28,45,29,1,30,1,24,1,6,1,13,1,7,1,13,2,7,1,13,1,29,1,6,1,30,1,28,22,7,1,13,1,24,1,10,2,12,1,10,1,12,1,9,1,17,1,10,1,12,1,24,1,10,2,9,1,8,1,9,1,10,1,24,2,9,1,13,1,6,1,8,1,13,1,6,1,8,1,13,1,7,1,29,2,6,2,13,1,7,1,8,1,24,2,8,1,24,2,7,1,24,4,13,1,24,2,8,1,24,1,13,1,6,1,30,1,26,1,30,1,6,2,30,1,7,1,28,1,30,1,28,1,30,1,28,1,30,3,6,1,28,4,30,1,29,1,28,1,29,2,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,73,30,1,28,1,30,1,28,1,29,1,6,1,30,1,6,1,28,1,29,1,28,1,29,1,28,1,7,1,29,1,30,1,29,1,30,4,7,1,6,1,30,1,7,1,6,1,29,1,6,1,30,1,6,1,29,1,30,1,7,1,29,1,7,1,29,3,28,2,29,1,30,1,29,1,30,1,6,2,7,1,28,1,30,3,28,1,30,4,29,1,30,1,7,1,28,1,6,3,28,1,6,1,8,1,6,1,13,1,28,1,13,2,9,1,13,1,8,1,6,1,8,2,24,2,10,1,13,1,8,3,24,1,8,1,24,1,12,1,24,2,9,1,24,1,13,1,24,1,8,4,9,1,8,2,7,1,8,1,24,1,9,1,13,1,9,1,24,1,11,1,17,1,9,1,12,3,24,1,10,1,13,1,8,1,30,1,28,1,30,1,28,17,30,1,28,10,30,1,28,1,7,1,28,1,6,1,28,1,29,1,6,1,8,1,6,2,8,2,9,2,24,1,10,1,8,1,12,1,10,1,24,1,12,1,9,2,12,1,17,1,9,1,24,1,9,1,13,1,8,2,13,2,8,1,25,1,8,1,27,1,8,1,25,5,6,1,8,1,24,1,25,1,8,1,24,1,7,1,8,1,24,2,13,1,8,2,13,1,9,1,12,1,17,1,12,1,17,1,12,1,17,4,6,1,28,2,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,9,30,1,28,5,30,1,28,29,6,1,7,1,8,1,13,1,7,1,10,2,13,1,12,1,8,1,12,1,17,1,9,1,12,2,10,1,9,1,8,1,11,1,13,1,12,1,10,1,13,2,8,1,9,1,16,5,9,1,11,1,9,1,11,2,9,1,11,1,9,8,11,1,9,1,10,1,11,1,9,1,10,1,11,2,9,3,11,1,9,2,11,1,9,2,11,1,9,1,11,2,9,5,11,2,9,1,16,2,11,3,9,1,16,1,9,1,11,2,9,1,11,4,9,2,11,1,9,4,11,1,9,8,13,1,9,2,13,1,9,3,11,1,9,2,13,1,8,1,13,1,9,1,16,1,8,1,16,1,9,2,11,2,9,4,11,1,13,1,9,1,13,2,8,1,11,1,13,1,9,3,8,2,13,1,9,2,13,1,8,1,9,1,13,1,8,1,9,2,13,1,9,2,13,1,11,1,13,2,9,1,13,1,9,1,13,1,9,2,13,1,11,1,13,1,9,1,8,1,9,3,13,1,8,1,9,1,8,2,9,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,1,8,1,7,1,6,1,13,2,9,1,13,1,8,1,13,5,8,1,13,2,9,1,6,1,13,1,9,1,13,1,8,1,29,1,13,8,6,1,13,2,8,1,13,1,8,2,9,1,13,1,8,1,13,1,9,2,13,2,8,1,9,1,10,1,13,3,8,1,9,1,8,2,9,2,13,1,9,10,13,1,9,2,11,1,9,1,11,1,9,4,16,1,9,1,13,2,8,1,11,1,9,1,11,1,9,1,10,2,11,1,10,1,9,2,10,1,9,1,10,1,11,1,10,1,9,1,13,1,9,1,7,1,30,1,28,1,30,1,33,46,5,372,28,8,30,1,28,5,30,2,6,1,28,3,30,1,6,1,30,1,6,1,29,1,30,1,28,1,30,1,29,1,30,1,29,1,30,1,29,1,6,1,28,2,30,2,29,2,28,1,29,1,30,2,29,1,28,2,6,1,28,3,30,2,28,1,30,2,6,1,30,1,6,1,29,1,6,2,13,2,7,1,13,1,6,2,13,1,29,1,8,1,6,2,30,1,6,1,29,1,30,2,7,1,6,2,29,1,6,1,7,1,6,1,29,1,6,1,29,1,7,1,6,1,7,1,6,1,28,1,6,2,30,1,7,1,30,1,29,1,13,1,7,1,6,4,7,1,6,2,13,1,29,1,13,3,30,1,13,4,7,1,29,1,13,3,8,1,13,1,9,1,13,1,8,6,9,3,13,1,9,2,11,1,9,1,10,1,9,2,11,2,9,1,11,3,16,1,11,1,16,5,17,1,16,1,17,1,16,1,13,1,6,1,13,1,8,1,13,5,6,1,13,1,6,2,9,2,8,1,11,1,13,1,11,1,16,1,11,1,16,1,11,1,8,2,11,1,9,1,11,1,16,1,9,4,13,8,6,1,13,2,9,1,13,1,6,2,13,6,6,1,13,1,6,1,13,1,6,3,13,1,6,1,13,1,9,1,6,1,13,4,30,1,13,2,6,1,13,4,8,1,6,1,9,4,11,2,9,1,13,1,9,1,16,2,9,1,13,2,6,1,13,2,9,2,13,1,16,1,11,4,9,1,16,1,9,1,6,1,13,1,28,1,6,2,30,1,6,2,13,1,30,1,6,2,28,1,13,1,30,1,13,1,6,1,13,2,16,8,17,1,16,3,9,1,16,4,9,3,11,1,16,1,11,4,16,2,9,1,17,1,16,2,11,1,16,4,9,1,16,7,9,1,16,1,9,1,6,1,9,1,13,2,6,1,28,2,11,1,17,1,10,1,9,2,8,1,24,3,7,1,29,1,13,1,6,2,8,1,30,1,8,1,13,1,6,1,13,2,7,1,6,1,13,1,7,1,13,1,7,1,13,1,8,1,7,2,13,1,8,3,13,1,8,2,13,2,8,1,13,3,8,1,13,2,8,1,13,1,8,1,6,1,13,2,7,1,8,1,30,1,29,1,7,1,30,1,7,4,8,1,6,1,8,1,24,1,8,2,7,1,8,1,13,4,8,1,13,2,9,2,8,2,9,7,11,2,16,2,10,2,16,1,11,2,16,1,9,1,11,2,9,2,10,1,9,4,8,2,6,1,13,2,9,1,13,2,7,2,6,4,8,1,7,1,8,1,6,1,8,1,13,1,8,1,7,2,13,1,24,2,7,1,13,1,9,1,13,2,8,2,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,2,8,1,9,2,8,1,13,1,9,1,8,2,9,3,11,1,10,1,13,1,9,1,10,1,11,2,13,1,11,1,9,1,10,1,9,1,10,2,9,1,11,2,9,2,11,1,9,1,11,1,9,1,16,1,11,1,9,1,16,2,11,2,16,1,11,2,9,1,13,1,10,1,11,1,9,1,16,1,11,1,9,1,11,5,9,3,10,1,16,1,11,1,9,2,10,1,8,1,7,2,6,1,13,1,9,1,30,1,6,1,13,1,30,1,13,2,6,1,13,1,7,1,30,2,6,1,7,1,8,1,6,1,13,3,7,1,6,1,13,3,6,2,7,2,6,3,7,1,30,1,28,4,29,1,6,1,28,1,7,1,13,1,7,1,30,1,13,1,6,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,13,1,7,2,6,1,28,3,30,1,29,2,13,1,8,1,9,1,10,1,8,1,9,3,8,1,9,1,11,1,10,2,9,1,11,1,9,2,11,2,10,1,9,4,8,1,9,2,8,1,9,1,13,2,9,1,13,3,8,2,13,2,6,1,13,1,8,1,9,1,10,1,11,1,13,1,9,2,11,1,17,1,12,4,17,17,12,1,17,3,12,1,17,1,16,1,11,1,17,6,12,1,17,1,12,1,11,1,10,1,11,1,10,1,13,2,29,1,30,1,17,1,11,1,17,3,12,1,11,1,17,1,11,1,17,5,9,1,17,1,11,2,17,1,9,1,10,1,9,1,8,1,24,1,8,1,13,1,9,1,24,1,7,1,8,1,6,1,8,1,13,2,8,1,24,1,8,1,24,1,13,1,8,1,24,1,8,1,10,1,24,2,12,1,10,1,11,1,9,1,11,1,10,1,7,1,12,1,24,1,9,2,24,2,17,1,12,1,17,1,9,1,12,1,17,3,8,1,11,1,17,1,9,1,12,1,17,1,9,1,24,1,12,1,17,1,12,1,8,1,12,2,8,1,9,4,8,1,10,1,8,1,24,2,11,1,10,1,11,1,12,1,17,4,12,1,17,4,16,1,5,34,33,1,28,13,13,1,14,1,16,1,17,1,9,1,10,1,24,1,13,1,6,1,29,2,30,2,13,1,8,1,9,1,12,2,24,1,28,5,30,1,9,1,17,1,8,1,28,3,30,2,28,25,8,1,16,1,17,1,8,2,29,1,28,1,8,1,9,1,24,1,8,1,13,1,30,2,28,2,29,1,6,1,}, {30,2,7,1,10,2,9,1,24,1,6,1,13,1,6,1,13,1,10,2,6,1,28,34,6,1,28,2,30,1,6,1,13,1,9,2,12,1,17,1,14,1,17,1,7,1,30,1,28,1,7,1,30,1,28,1,9,1,14,1,24,1,8,1,7,1,8,1,13,1,24,1,14,1,9,1,24,1,8,1,13,2,15,1,13,1,29,1,6,1,29,1,28,1,30,1,10,2,17,1,10,1,12,1,24,1,8,4,13,1,16,1,10,1,11,1,12,1,17,3,9,1,11,1,6,1,28,5,30,1,28,19,13,2,24,2,9,1,12,1,9,1,6,1,29,1,6,2,30,1,6,2,8,1,17,2,16,1,10,1,9,1,8,3,11,1,15,1,8,2,24,1,13,1,8,1,9,1,10,1,13,1,29,1,28,2,30,1,29,1,28,9,30,1,17,1,16,1,17,3,16,2,17,5,11,1,13,2,6,3,8,2,6,1,7,1,8,1,6,1,13,1,6,1,30,1,29,1,6,1,29,1,6,1,28,7,29,1,28,40,6,2,8,5,13,1,8,1,13,1,8,1,13,1,7,1,28,1,30,2,28,20,30,1,13,1,17,1,12,1,17,1,10,1,17,1,10,1,12,3,17,1,10,2,9,2,24,2,13,1,8,2,24,1,13,1,24,1,8,1,6,1,7,1,13,1,7,1,8,3,7,1,8,1,13,1,8,2,7,1,24,1,8,2,24,2,8,1,24,1,7,1,8,1,24,1,25,1,8,1,7,1,6,2,29,1,30,1,29,3,7,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,28,3,29,1,30,1,29,1,28,1,6,1,28,2,29,1,30,1,28,9,29,1,28,75,30,1,28,1,30,2,28,1,29,1,28,1,29,1,28,1,30,1,6,1,28,1,30,1,29,1,7,1,28,1,6,1,28,1,6,1,29,1,6,1,30,1,6,2,30,1,29,1,7,1,6,1,29,1,30,1,29,1,13,1,29,1,30,1,8,1,6,1,30,2,6,2,30,1,29,1,13,1,6,1,28,1,30,2,29,1,28,1,6,1,28,1,6,1,28,1,29,1,28,1,29,1,28,1,6,1,28,1,29,2,28,2,6,1,30,1,6,1,7,1,30,1,6,1,7,2,8,1,7,3,8,1,13,2,6,1,24,1,8,2,7,1,6,1,24,2,8,1,10,1,9,1,24,1,13,1,10,1,12,1,13,1,24,1,9,1,12,1,6,1,24,1,13,1,6,1,13,1,8,1,13,1,24,1,7,1,12,1,8,2,9,1,24,1,17,1,11,1,12,1,9,1,17,2,24,1,9,1,8,1,13,1,6,1,30,1,28,18,29,1,28,4,29,1,28,2,7,1,29,1,28,3,6,2,30,1,29,1,24,1,6,1,13,1,7,2,24,1,13,1,8,1,10,1,8,1,9,1,12,1,9,1,10,1,17,1,10,1,17,1,12,1,9,1,12,2,9,1,8,1,9,1,8,1,7,1,13,1,8,1,30,1,24,1,8,2,26,1,24,2,25,1,8,2,24,1,8,2,6,1,24,1,8,2,13,1,24,2,13,1,9,2,10,3,12,1,17,1,9,2,17,1,12,1,17,1,11,1,6,1,28,2,30,2,28,5,30,1,28,10,30,1,28,1,30,1,28,1,6,1,28,1,29,1,28,30,29,1,7,3,13,1,24,1,8,1,24,2,9,1,10,1,8,1,12,1,17,1,9,1,12,1,24,1,9,4,11,1,9,1,13,1,8,1,9,1,11,1,16,1,17,1,16,1,11,1,16,1,9,1,11,1,9,3,8,1,9,6,11,1,9,1,11,1,9,4,10,1,9,2,11,2,9,2,11,2,9,1,11,1,8,1,9,3,11,1,9,1,16,1,9,1,16,1,10,1,11,1,9,2,11,2,9,2,11,1,10,1,9,1,11,1,9,1,11,6,9,1,11,1,9,1,11,2,16,1,17,1,11,1,16,1,9,2,11,2,9,2,11,2,9,2,11,1,9,6,10,1,9,2,8,1,11,1,9,1,13,1,9,2,8,1,9,3,10,1,9,1,13,1,9,1,8,2,13,1,9,1,13,1,10,1,13,1,9,3,8,2,13,1,9,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,13,3,9,1,13,1,9,1,13,2,9,1,13,1,10,1,11,1,9,1,13,1,9,2,13,1,9,2,11,1,9,4,8,1,13,1,8,1,13,1,9,1,13,1,9,1,13,3,9,2,13,1,8,1,9,1,13,2,8,1,13,5,8,2,9,1,13,6,9,1,13,1,9,1,6,1,13,10,9,1,11,1,6,1,13,6,8,1,9,2,13,3,11,1,13,1,11,1,8,2,13,1,6,1,11,1,9,2,13,2,9,5,8,2,11,1,9,4,16,1,11,1,9,4,13,1,11,1,8,1,11,1,10,1,13,1,9,1,13,1,9,6,10,1,9,3,8,1,11,1,9,1,13,3,6,1,28,1,33,47,5,371,13,1,28,6,30,1,28,6,30,1,29,1,28,3,30,2,6,1,30,1,6,1,29,3,30,1,29,2,7,1,30,1,28,1,6,1,30,2,6,1,30,1,29,1,6,1,30,1,6,1,28,1,29,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,6,1,30,2,6,3,13,2,6,1,7,2,13,1,6,1,13,6,7,1,13,1,8,1,6,1,7,1,6,1,29,1,30,2,6,1,29,1,30,1,7,1,29,2,6,1,29,1,30,1,28,1,29,2,6,1,30,1,6,2,7,1,30,1,29,1,6,3,8,1,6,3,13,3,7,1,13,8,7,1,13,1,9,1,13,1,8,3,13,1,9,3,13,1,11,1,9,4,11,1,9,3,11,1,9,2,10,1,16,1,9,1,11,1,16,2,11,1,16,5,17,1,16,2,17,1,16,1,17,1,16,1,17,1,13,4,6,1,13,1,6,1,13,2,6,1,13,1,11,1,9,1,8,1,11,2,9,1,11,1,16,1,11,1,9,1,13,1,9,1,13,4,9,1,13,1,8,2,9,5,16,1,11,1,9,6,13,1,9,3,13,6,30,2,6,1,13,5,9,1,30,1,13,5,6,1,13,1,6,1,13,3,9,1,6,1,13,3,6,1,13,9,30,1,13,1,28,1,30,1,13,1,9,3,13,1,16,1,9,1,11,2,16,1,11,1,9,2,13,2,30,2,13,1,6,1,13,2,28,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,9,1,11,1,16,2,9,1,16,2,11,1,17,1,16,1,17,1,16,1,11,1,9,1,16,1,9,5,13,1,16,2,9,1,16,3,14,1,16,5,9,1,16,3,9,1,11,1,13,1,9,1,11,1,16,2,11,2,16,1,9,1,16,1,9,2,13,1,30,1,28,2,13,1,11,1,16,1,24,1,8,1,24,1,8,1,24,1,7,1,6,1,8,1,6,1,8,1,7,1,29,1,8,1,6,1,7,1,6,1,7,1,13,1,6,1,7,2,13,3,8,1,6,1,8,1,13,1,8,2,24,1,8,2,13,1,24,1,9,1,8,3,13,1,8,1,13,3,9,1,13,1,6,3,7,2,13,1,6,2,7,1,6,1,8,1,7,1,8,1,7,1,13,1,24,1,13,6,8,1,13,1,6,1,8,2,13,1,8,1,9,3,8,2,9,1,8,1,9,1,13,1,11,6,16,1,11,1,9,1,16,1,9,3,8,1,11,1,8,1,9,5,13,1,9,1,13,5,8,1,13,3,6,1,13,1,7,1,8,1,13,1,7,1,8,1,13,1,8,1,6,1,13,2,8,1,13,2,9,1,13,1,7,1,13,1,6,1,13,2,8,1,13,1,8,4,11,1,9,1,10,1,13,2,9,2,8,1,9,2,11,1,9,2,10,1,8,1,9,2,10,1,9,2,11,1,10,2,9,1,11,1,9,1,11,2,9,1,11,1,9,2,11,1,9,1,16,1,9,1,16,1,11,2,10,1,11,1,9,1,10,1,11,1,10,1,9,2,10,1,9,2,10,1,9,1,11,2,9,1,10,1,11,8,10,1,9,1,17,2,11,2,10,1,9,1,30,1,13,3,6,1,13,3,6,2,30,2,6,1,30,1,29,1,30,1,13,1,6,1,13,2,7,1,13,1,7,1,8,1,13,5,7,1,13,1,6,2,30,1,28,1,30,1,28,3,6,3,29,1,7,1,30,1,13,1,29,1,7,1,13,1,6,2,13,1,9,1,8,1,10,1,13,1,8,1,13,2,30,1,6,1,30,1,28,1,30,1,7,1,29,1,13,1,6,1,13,1,9,1,11,2,9,2,8,1,9,1,11,1,9,1,11,1,10,4,9,1,11,2,17,1,10,1,9,1,13,1,8,2,13,2,9,1,13,1,8,1,13,1,8,2,9,1,13,1,9,1,13,1,9,1,13,4,8,2,9,4,10,1,11,1,10,2,11,1,17,9,16,1,17,4,16,1,17,7,12,1,11,1,16,1,12,1,11,1,12,2,11,1,17,1,11,1,12,2,11,1,9,1,10,1,9,1,10,1,9,1,13,1,28,1,30,1,16,1,17,1,16,1,17,3,12,1,10,1,12,2,11,1,17,2,11,1,12,1,17,1,12,1,10,1,9,1,8,1,9,1,8,1,24,1,8,1,24,1,8,1,13,1,9,1,24,1,7,1,8,1,13,1,24,1,8,1,7,1,8,1,13,1,8,1,24,1,12,1,24,1,9,1,10,1,24,1,9,2,24,1,10,1,9,1,13,1,24,1,12,1,8,1,12,1,24,1,10,1,17,1,9,1,10,1,12,1,10,1,11,2,12,1,10,1,12,3,17,1,24,1,10,1,12,2,9,1,17,1,24,1,11,1,12,1,10,2,9,1,24,2,9,1,10,1,8,1,24,1,8,1,24,2,10,1,12,1,10,1,17,1,12,2,17,1,11,1,17,4,16,1,5,34,33,1,28,13,6,1,14,1,16,3,9,1,13,1,6,1,7,1,30,1,13,1,29,1,6,1,8,1,29,1,24,1,11,1,10,1,9,1,28,5,6,1,11,2,8,1,6,1,28,29,8,1,14,1,10,1,13,1,6,2,28,1,24,1,9,1,8,1,13,1,6,2,30,1,28,1,30,2,6,1,}, {30,1,6,1,13,1,15,1,9,1,8,3,13,1,30,1,13,1,12,1,9,1,13,1,28,36,30,3,8,1,10,4,14,1,12,1,13,1,29,1,6,1,30,1,29,1,30,1,24,1,15,1,12,1,6,1,8,1,6,1,24,1,9,2,12,1,15,1,13,2,8,1,14,1,8,1,30,1,6,2,30,1,13,1,24,1,9,1,17,2,9,1,16,1,11,1,12,1,13,1,8,1,9,1,12,1,10,1,12,1,17,2,12,1,16,1,17,1,11,1,6,1,28,6,30,1,28,17,30,1,6,1,7,1,8,2,24,1,9,2,6,2,30,1,6,1,29,3,9,1,17,1,14,1,16,1,14,1,9,1,13,2,8,1,9,1,8,1,9,1,24,1,13,1,8,1,24,1,9,1,10,1,13,1,30,1,28,1,30,1,28,11,7,1,17,13,8,1,9,1,13,1,8,1,13,1,7,1,29,1,8,1,6,1,13,1,7,2,6,1,30,1,7,1,30,1,6,1,29,1,28,1,29,2,28,1,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,33,30,1,7,1,24,3,9,2,8,1,9,1,24,1,8,2,13,1,8,3,29,2,28,20,29,1,10,1,12,1,10,1,12,2,17,5,10,1,24,1,12,2,24,1,9,1,8,1,13,1,24,1,9,1,13,1,8,3,10,1,24,1,8,1,13,3,24,2,13,1,8,1,24,6,8,1,24,1,25,1,8,1,10,1,8,1,6,1,24,1,8,1,7,1,26,1,25,1,30,1,29,1,6,1,8,1,29,1,30,1,6,1,28,2,6,1,29,1,7,1,13,1,28,1,30,1,28,1,6,1,28,3,30,2,28,1,30,3,29,1,30,1,28,3,30,1,28,76,30,1,28,2,30,1,28,2,29,1,28,1,6,1,28,1,29,1,6,1,28,1,7,1,28,1,29,1,30,1,29,1,30,2,7,2,29,1,30,1,6,1,30,1,6,1,29,1,28,1,13,1,30,1,7,1,29,1,6,1,29,1,6,2,28,1,6,2,24,1,29,1,30,1,28,1,29,1,28,1,30,1,6,1,29,2,28,1,30,1,29,1,28,1,30,1,28,2,7,1,28,1,29,1,30,1,28,1,30,1,6,1,30,3,8,1,6,1,7,3,6,1,13,1,9,1,8,1,13,1,24,1,8,1,30,1,24,1,13,1,8,1,24,1,7,1,24,1,8,1,24,1,8,1,24,1,12,1,10,1,9,1,8,1,24,1,10,1,8,1,6,1,7,1,13,1,6,1,24,4,13,1,24,1,9,1,24,1,9,1,13,1,24,1,12,1,9,1,17,1,10,1,12,2,17,1,24,2,13,1,29,4,28,15,30,1,28,7,30,1,28,1,29,2,6,1,29,1,30,2,6,1,7,2,13,1,8,1,24,1,13,1,24,1,8,1,24,1,9,1,12,1,10,1,11,1,9,2,11,1,9,1,12,1,10,2,8,2,10,1,24,1,10,1,24,1,12,1,24,2,7,1,13,1,25,1,24,1,25,1,29,1,25,1,24,1,8,1,6,1,8,1,7,1,24,2,13,1,10,1,8,1,10,1,24,1,9,1,8,1,10,1,24,2,10,2,12,1,10,1,11,1,17,2,11,1,17,1,13,1,29,1,30,2,28,1,30,1,28,9,29,1,28,8,29,1,30,1,28,2,30,1,28,29,30,2,6,2,13,1,29,1,24,1,8,2,13,1,10,1,17,1,8,1,12,1,9,1,11,1,24,1,17,1,12,1,24,1,9,1,10,1,12,1,8,1,13,1,9,2,11,1,17,1,11,1,9,1,17,1,10,1,11,1,10,1,11,1,9,1,10,1,9,1,10,1,11,1,13,1,11,1,9,3,13,2,9,2,11,1,8,1,9,4,10,1,9,1,11,1,9,9,13,1,9,2,11,1,9,2,11,2,10,1,9,5,13,1,16,1,9,2,10,1,9,5,16,1,9,1,16,1,9,1,11,4,9,1,11,6,13,1,11,1,9,2,11,1,9,1,8,1,9,5,11,1,9,5,11,1,16,1,11,2,9,2,8,1,13,1,9,2,13,1,9,2,8,1,9,1,11,1,9,5,8,1,9,2,13,1,9,1,13,1,9,1,8,1,13,1,9,1,8,1,13,1,9,1,11,1,9,2,8,1,9,5,8,1,11,1,8,2,9,1,13,1,9,2,11,1,13,1,9,1,13,1,9,1,13,2,9,1,13,2,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,13,4,8,1,13,3,8,1,13,1,9,2,13,3,9,1,8,2,13,3,7,1,9,1,13,1,7,1,13,3,7,1,9,1,8,1,6,1,7,1,13,2,6,1,13,2,9,2,13,3,9,1,13,2,9,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,3,13,1,9,1,13,2,9,2,8,1,9,6,11,1,9,2,16,1,9,1,10,1,9,1,11,1,10,1,11,2,9,2,11,1,13,1,9,4,10,1,9,8,13,2,28,1,13,1,33,48,5,371,28,7,30,1,6,1,29,1,28,6,6,1,30,2,28,1,13,1,30,1,6,1,30,2,6,2,30,1,29,1,6,3,7,1,29,1,30,1,6,1,7,1,29,1,6,1,30,1,7,1,30,1,29,2,6,1,29,1,28,4,30,2,6,1,28,1,6,2,13,1,6,2,13,2,8,1,13,1,6,1,13,2,7,1,6,1,13,3,6,1,13,1,7,2,13,1,7,1,6,1,8,1,13,1,30,1,6,1,29,1,6,1,29,1,30,1,29,2,7,1,6,1,13,1,7,1,29,2,6,2,13,1,6,1,13,1,7,2,6,1,13,2,8,1,6,1,13,1,6,1,8,1,13,2,8,1,13,1,8,1,13,1,8,3,13,2,8,1,9,1,8,2,13,1,9,1,8,1,9,1,13,1,9,3,10,1,9,2,11,2,9,3,11,5,16,2,11,1,16,1,17,1,16,2,17,1,16,1,11,1,17,1,16,2,11,3,16,2,9,1,13,2,6,1,13,2,8,3,9,1,8,2,9,2,16,2,11,1,16,1,9,1,11,1,9,4,16,4,9,1,11,1,9,2,13,1,9,1,13,1,9,9,13,4,8,1,13,2,9,4,13,2,6,1,13,3,9,1,30,1,13,2,8,1,6,1,13,2,30,1,8,1,6,2,13,1,9,1,30,1,13,2,6,1,13,2,6,2,28,1,13,1,28,1,13,1,28,1,6,2,28,1,30,1,9,1,13,2,9,1,11,1,9,1,10,2,13,1,16,1,11,1,9,2,11,1,9,1,13,3,30,1,13,3,30,1,13,1,6,3,28,1,6,1,30,1,6,2,30,1,6,1,13,2,11,1,16,5,17,3,16,3,11,1,9,2,11,1,9,1,13,1,11,2,9,1,11,1,9,1,16,3,17,1,16,1,9,1,16,1,9,3,16,1,11,1,16,1,9,3,11,1,16,1,9,1,11,1,16,4,9,1,13,2,28,3,13,1,8,1,10,1,24,1,12,1,24,1,9,1,8,1,13,1,29,2,7,1,13,1,6,1,7,2,6,2,7,1,6,1,7,2,8,1,13,1,7,1,13,1,8,1,7,1,13,3,8,1,13,2,8,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,8,2,9,1,13,2,8,1,13,2,6,2,30,1,7,4,13,1,24,1,13,3,7,1,13,2,8,1,13,1,8,2,13,1,9,1,13,1,8,2,9,8,10,1,9,1,11,1,16,1,11,2,9,1,11,2,10,1,9,1,11,4,9,2,8,1,9,3,11,1,8,3,13,5,8,1,7,1,13,1,7,1,8,1,7,1,13,1,8,1,13,1,8,1,6,2,8,1,6,1,8,1,13,1,9,1,8,1,13,1,7,1,8,1,7,1,13,2,9,1,6,1,13,2,8,2,9,2,8,2,9,1,13,1,9,2,13,1,8,2,9,1,13,1,8,2,11,1,8,1,9,4,10,1,9,1,8,1,9,7,16,1,11,1,9,3,16,1,11,2,10,1,11,1,16,1,11,1,10,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,10,1,11,1,16,1,11,1,10,1,11,1,9,1,16,1,11,7,8,1,11,2,17,2,11,1,13,2,9,1,5,3,9,1,13,1,6,4,30,1,6,2,7,1,30,1,13,1,7,1,13,2,7,1,6,4,13,1,9,1,6,1,7,1,13,1,6,1,13,1,29,1,13,1,30,1,28,1,30,1,28,2,29,1,13,2,6,1,13,1,7,1,6,4,7,1,8,1,7,2,13,4,6,1,7,1,28,4,30,1,6,1,30,1,29,1,13,1,8,1,11,1,9,1,11,1,9,5,11,1,17,1,11,1,10,1,11,1,10,1,9,1,11,1,8,1,9,4,8,1,9,1,13,2,9,1,8,2,13,3,9,2,13,1,8,1,10,1,8,1,13,3,9,1,8,1,13,1,9,1,11,1,9,2,11,4,17,7,16,2,17,12,11,1,16,2,17,1,11,1,17,2,11,1,17,1,11,1,17,2,12,2,10,1,9,1,11,1,9,2,5,1,33,1,5,2,16,2,17,2,11,1,17,3,12,2,17,2,11,1,12,1,17,1,11,1,10,1,8,1,10,1,8,1,13,1,10,1,8,2,9,1,13,1,24,1,8,3,13,1,24,1,13,1,9,2,8,1,13,1,8,1,10,1,9,1,24,1,12,1,10,1,11,1,24,1,12,1,17,1,12,1,9,1,10,1,24,2,11,1,10,1,9,1,24,1,12,1,17,1,11,3,10,1,12,1,9,1,12,1,9,1,17,1,11,1,9,1,10,1,11,2,12,1,9,1,24,1,10,1,9,1,10,1,24,1,9,1,13,1,24,1,8,1,9,3,24,1,10,1,12,2,10,1,12,1,17,2,12,1,11,1,17,2,10,1,11,2,16,1,5,33,30,1,28,13,13,1,14,1,16,2,8,1,24,1,13,3,29,1,30,1,29,1,6,1,13,1,8,1,24,1,9,1,11,1,13,1,28,5,29,1,12,1,17,1,13,1,28,4,29,1,28,25,8,1,14,1,9,2,6,1,28,2,8,2,9,1,13,1,6,1,29,1,6,1,30,1,29,1,6,1,24,1,}, {30,1,28,1,8,1,12,1,9,1,24,1,6,4,8,1,9,2,7,1,28,8,30,1,28,28,6,1,7,1,24,2,17,1,10,2,14,1,15,1,8,1,6,1,30,1,29,1,30,2,13,1,17,1,24,1,13,1,8,1,13,1,6,1,10,1,9,1,13,2,8,1,6,1,10,1,14,1,24,1,6,1,7,2,29,1,6,1,24,1,9,1,17,2,11,1,10,1,11,1,9,1,8,1,13,1,8,1,11,1,12,1,10,1,12,1,17,1,16,1,17,3,7,1,30,1,28,5,30,1,28,2,30,1,28,2,30,2,28,10,30,2,8,1,13,1,10,1,9,1,10,1,15,1,29,1,6,1,30,1,7,1,6,3,12,1,14,3,15,1,9,1,8,1,13,1,9,2,13,1,24,1,13,1,7,1,13,2,24,1,14,1,8,1,29,1,28,12,30,1,6,1,11,2,17,1,16,1,17,1,16,1,17,2,16,1,17,4,7,1,13,3,6,1,8,1,6,1,8,1,13,1,7,1,6,1,13,1,7,2,13,1,6,1,30,1,29,2,6,1,28,2,30,1,28,1,30,1,6,1,30,1,28,38,30,1,6,1,8,1,24,1,9,1,17,4,11,1,12,1,9,1,24,1,9,1,13,3,7,1,8,1,13,1,6,1,28,3,30,1,28,14,13,1,12,2,17,6,10,1,9,1,10,1,12,1,17,1,9,1,24,3,12,1,10,1,13,1,8,1,24,1,7,1,13,2,6,1,8,1,24,1,8,2,13,2,24,1,8,1,24,2,8,1,10,1,12,1,8,1,24,2,10,1,8,1,24,1,8,1,6,1,24,1,6,1,30,1,6,1,29,2,7,1,29,1,6,2,28,1,29,1,30,4,28,1,30,2,29,1,30,2,29,1,30,1,28,1,30,1,28,1,29,2,30,2,28,2,30,1,28,7,30,1,28,2,30,1,28,62,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,30,1,29,1,30,2,29,1,28,1,30,2,29,1,6,1,29,1,6,2,7,1,30,1,6,3,28,1,30,1,8,1,30,1,7,1,28,1,8,1,30,1,6,3,7,1,30,1,29,1,7,1,29,1,7,1,28,1,30,1,28,1,6,1,28,1,30,1,29,1,28,2,30,2,29,1,28,1,30,1,28,2,29,2,6,1,29,3,6,1,30,1,13,1,7,1,29,1,24,1,13,2,30,1,6,1,8,1,13,1,7,1,13,1,24,1,7,1,13,1,7,1,8,1,7,1,6,1,13,2,24,1,8,1,10,1,17,2,24,2,8,1,6,1,13,2,24,1,8,1,13,2,8,1,7,1,24,3,9,1,8,1,9,1,10,2,12,1,9,1,10,1,11,1,12,1,9,1,24,1,8,1,13,2,29,1,6,1,28,14,29,1,30,2,29,1,28,1,30,1,28,1,29,1,28,3,6,2,7,1,29,1,6,1,7,1,13,1,8,1,24,1,13,1,6,1,8,2,24,2,9,1,12,1,10,1,12,1,9,1,17,1,9,1,12,1,17,1,9,1,12,1,17,1,12,1,9,1,24,1,9,1,24,1,12,1,13,1,8,1,13,1,7,1,13,2,7,1,8,1,25,1,13,1,7,1,24,3,6,1,13,1,24,1,13,1,8,1,24,2,13,1,8,2,24,1,10,3,12,1,9,1,10,1,17,1,10,1,12,1,17,2,7,1,28,2,6,1,28,9,30,1,28,12,30,1,28,2,30,1,28,24,30,1,6,1,28,1,30,2,28,1,6,2,24,1,13,1,24,1,8,1,10,1,9,2,10,1,12,2,9,1,12,2,11,1,9,1,10,1,12,2,10,1,8,1,13,1,9,1,16,1,11,1,16,1,11,1,16,2,11,2,9,6,10,1,13,1,11,1,9,1,11,1,9,2,13,1,9,4,8,1,11,1,9,1,10,1,11,1,9,1,11,2,9,1,11,2,9,6,11,1,9,5,11,1,9,2,8,1,9,1,8,1,9,1,8,1,11,1,9,7,13,1,9,2,13,1,9,1,16,1,9,2,11,1,9,1,11,1,9,1,11,3,16,1,9,1,16,1,9,2,8,1,9,3,8,1,13,3,9,11,10,1,9,2,13,1,9,4,8,1,13,1,9,3,13,2,9,2,13,4,9,2,13,1,9,1,13,3,11,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,8,2,11,1,9,1,13,1,11,1,13,1,9,2,11,1,13,1,11,1,9,2,11,1,9,5,13,1,8,1,9,1,13,2,9,1,13,3,6,1,13,6,8,1,13,2,9,1,13,2,9,1,13,3,9,1,6,1,9,1,13,1,9,1,13,3,9,2,13,3,9,1,13,6,28,1,13,1,6,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,13,1,11,1,13,4,8,3,9,1,10,1,8,2,13,1,8,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,9,1,11,1,8,1,11,2,10,1,11,1,9,1,8,1,11,1,9,2,11,1,10,1,9,5,11,1,9,1,11,1,9,1,10,1,11,1,9,4,13,3,33,49,5,370,6,1,28,6,29,1,6,2,30,1,28,3,30,1,28,2,29,1,28,2,30,1,6,5,30,1,6,5,7,1,30,1,6,4,29,4,30,1,7,1,6,1,28,1,30,1,29,1,30,1,6,1,29,1,7,1,29,1,6,5,13,1,9,2,13,6,8,1,13,3,7,1,13,1,6,1,13,1,6,1,13,1,29,1,28,1,7,1,6,3,29,1,6,1,13,1,6,1,7,1,30,1,7,1,6,1,13,1,29,1,13,2,6,2,7,2,6,1,13,1,7,1,13,6,6,1,13,7,8,1,13,2,8,2,13,1,8,1,9,8,11,1,9,2,11,2,9,2,11,5,16,1,11,2,16,3,11,2,16,1,11,1,16,1,11,4,9,3,8,1,9,1,16,1,8,1,13,1,8,1,6,1,13,3,6,1,9,1,13,1,9,3,13,1,9,3,11,1,16,1,13,1,9,3,13,3,9,1,11,2,9,2,8,1,9,2,11,1,9,2,8,1,9,4,13,1,9,2,13,1,9,1,13,2,8,1,13,1,9,1,13,1,9,3,16,2,9,1,11,1,9,10,13,2,8,2,13,2,6,1,13,2,30,2,28,1,6,2,28,1,30,2,28,1,13,1,6,1,13,1,6,2,9,1,13,1,9,4,13,2,9,1,11,3,9,1,11,1,9,1,13,2,6,2,30,1,13,1,30,1,6,1,30,2,6,1,13,1,30,1,28,1,30,1,6,5,13,2,9,1,16,2,14,1,17,1,16,3,11,1,9,2,16,1,9,3,11,1,16,2,9,3,16,1,9,1,16,2,17,1,9,4,11,1,16,2,9,1,16,1,9,1,13,1,16,1,9,2,16,1,9,1,16,1,11,1,16,1,11,1,13,2,30,1,28,2,30,1,9,1,11,1,9,2,8,1,24,1,13,1,7,2,6,2,30,1,7,2,13,1,7,1,6,1,7,1,8,1,6,1,13,2,8,2,13,2,8,2,7,1,13,2,8,1,9,3,24,1,8,1,13,1,8,2,24,1,8,1,9,1,8,1,24,1,8,1,13,5,7,1,6,1,13,1,6,1,13,1,7,1,24,1,13,1,8,1,13,2,9,1,13,1,8,1,24,1,9,2,8,2,13,1,9,3,13,1,9,2,13,1,10,1,9,3,11,4,16,1,9,1,11,2,9,1,11,2,9,1,11,1,9,2,8,2,10,1,9,1,8,1,9,1,13,1,8,2,9,1,13,1,8,1,7,1,13,2,8,1,13,2,8,4,6,1,7,1,13,2,8,1,6,1,8,1,13,2,6,1,13,1,8,1,13,2,8,1,7,1,8,1,13,1,8,1,13,1,7,1,9,1,8,1,9,4,7,1,13,1,8,2,9,2,8,2,9,2,8,1,9,1,8,1,9,1,10,1,9,2,11,1,9,5,11,1,16,1,9,1,10,1,11,1,10,2,11,1,9,4,10,1,9,2,11,1,9,2,11,6,9,3,11,1,10,1,9,4,11,1,10,1,9,2,11,2,10,1,16,1,11,1,9,2,11,1,16,1,17,2,11,1,30,1,9,1,33,5,6,3,30,6,13,2,7,2,13,1,6,3,30,1,7,1,13,1,6,3,7,1,6,1,29,1,6,2,13,1,30,1,13,3,7,3,6,5,29,1,6,1,13,1,7,1,6,1,13,2,7,2,6,2,28,3,30,2,6,1,7,2,13,1,9,1,10,2,9,1,11,1,9,2,11,1,9,2,10,1,17,1,9,1,12,1,9,1,12,1,11,1,9,5,10,1,9,1,8,1,9,1,8,3,13,1,8,2,13,2,8,1,9,1,8,1,9,1,13,4,8,1,13,1,9,4,11,2,9,1,12,1,17,3,16,1,17,1,16,1,17,6,11,2,17,4,11,1,17,1,11,1,17,2,11,1,12,1,11,2,12,1,17,1,11,1,12,1,17,1,12,2,17,1,9,2,10,1,9,1,33,3,5,4,16,1,17,1,16,1,17,4,12,1,11,1,12,1,17,1,12,1,11,1,12,2,11,1,9,1,13,1,24,1,8,4,9,1,8,1,13,1,8,1,13,1,8,2,24,2,13,1,24,1,8,1,24,1,12,1,24,1,12,1,8,1,12,1,8,1,10,1,12,1,10,1,11,1,24,1,10,1,9,2,24,1,10,1,11,1,8,1,10,1,17,1,12,1,11,1,17,2,12,1,9,1,11,1,12,2,24,1,12,1,24,1,9,1,17,1,10,1,11,1,9,1,11,1,17,1,12,1,17,1,11,1,12,1,8,1,9,1,13,1,9,1,13,1,10,1,24,1,12,2,17,1,12,1,17,1,10,1,9,1,11,1,17,1,12,1,11,1,10,1,11,1,5,33,28,14,13,1,11,1,14,1,12,1,9,1,24,1,8,1,13,1,29,1,30,2,29,1,6,2,13,1,8,1,12,1,10,1,13,1,28,5,29,1,11,1,12,1,8,1,6,1,30,1,28,28,10,1,14,1,16,1,8,1,13,1,29,2,24,1,9,1,13,2,6,2,28,1,30,1,6,2,13,1,}, {6,1,28,1,13,1,12,2,10,1,24,1,6,1,7,2,6,1,17,2,29,1,28,34,30,1,28,1,6,1,28,1,13,1,24,1,12,1,24,1,10,1,24,1,15,2,13,1,30,1,28,1,6,1,28,1,30,1,13,1,12,1,9,1,8,1,13,1,8,1,7,1,9,2,24,1,10,1,13,1,7,1,13,1,14,1,8,1,6,4,30,1,10,1,17,1,12,1,10,1,12,2,9,3,13,2,17,4,12,2,10,1,17,2,6,1,30,2,28,23,6,1,13,1,30,1,24,2,10,1,9,1,6,1,29,1,30,1,29,1,30,1,29,1,13,1,9,1,12,2,15,1,12,1,9,1,8,1,13,3,8,4,24,1,8,1,15,1,14,1,9,1,28,1,29,1,28,5,30,1,28,5,29,1,13,1,11,1,16,1,17,2,16,1,17,5,16,1,17,2,11,1,9,1,13,1,8,1,13,2,8,1,13,1,6,1,8,1,13,2,6,1,24,1,7,1,28,1,13,1,30,1,29,3,30,1,28,4,30,2,28,37,29,1,8,1,24,2,17,7,11,1,13,1,17,1,12,1,24,1,15,1,24,1,8,1,6,1,13,1,29,3,30,1,28,14,6,1,12,1,17,6,12,7,8,1,9,1,10,1,24,3,13,1,24,1,12,1,13,1,24,1,8,3,24,1,13,1,8,1,10,1,8,1,24,1,7,1,10,1,24,1,10,1,24,1,25,2,24,2,8,1,6,1,8,1,6,1,25,1,26,1,6,1,30,1,6,1,30,2,28,2,29,1,28,1,30,1,28,1,30,1,29,1,28,1,29,1,28,1,29,1,30,2,28,1,29,1,28,1,30,2,28,1,6,1,30,1,28,2,29,1,30,1,28,5,30,1,28,8,29,1,28,69,6,1,30,2,29,2,25,1,29,1,30,1,6,1,29,1,28,1,29,1,7,1,28,2,7,1,29,2,6,1,30,1,28,1,7,1,28,1,6,2,28,1,29,1,30,1,7,1,29,1,6,5,28,1,6,1,13,1,7,1,30,2,28,2,29,1,30,1,29,1,28,1,29,1,28,1,30,2,28,1,6,1,7,1,29,2,30,1,6,2,30,1,6,2,30,1,13,1,28,1,13,2,8,2,24,1,6,1,8,1,13,3,8,1,13,1,24,1,8,1,10,1,12,1,24,1,6,1,10,1,8,1,12,1,9,1,24,1,13,1,12,1,29,1,13,1,8,1,13,3,24,1,6,1,24,1,8,1,7,1,8,4,10,2,12,1,9,1,12,1,8,1,12,2,17,1,9,1,24,1,9,1,8,1,7,1,8,1,6,1,30,1,28,7,6,1,28,3,30,1,28,1,30,1,28,1,30,1,29,1,28,2,30,2,28,1,29,1,7,1,6,1,29,1,8,1,30,1,6,1,13,1,7,1,8,3,13,3,8,1,9,2,17,1,9,1,17,1,9,1,11,1,10,1,17,1,11,2,12,2,11,1,9,1,12,1,10,2,24,1,13,1,24,1,9,1,8,1,7,1,8,1,6,1,10,1,13,1,6,1,13,1,24,1,8,1,13,1,8,1,24,1,13,1,10,1,8,1,9,1,8,2,24,1,8,1,12,1,24,1,10,2,11,2,10,1,17,1,12,1,17,2,12,1,29,1,30,2,28,21,30,2,28,31,29,1,13,1,29,1,30,1,6,1,24,2,13,1,12,1,24,1,12,1,9,1,10,1,9,1,11,1,17,1,12,2,24,1,12,2,11,1,12,1,9,1,13,1,8,1,13,1,10,1,17,1,11,4,9,7,10,1,11,1,9,5,13,2,10,1,9,1,10,1,8,1,11,1,9,2,10,1,8,1,11,2,9,3,11,2,9,2,16,1,9,2,10,1,8,1,9,3,11,1,9,2,13,1,8,1,9,3,11,1,9,1,13,1,9,5,11,2,9,1,8,1,9,1,11,1,9,1,13,2,9,2,16,1,11,1,9,3,11,1,16,1,11,1,8,1,11,1,9,7,13,1,9,6,11,1,9,2,11,1,9,1,13,1,9,2,8,1,10,1,9,1,8,2,9,2,11,1,9,2,8,1,9,2,13,3,9,2,13,1,9,2,8,1,13,1,9,1,13,2,8,1,9,2,13,3,9,3,11,1,8,1,9,1,13,1,9,6,11,1,9,2,8,1,10,1,13,5,9,1,13,3,8,1,9,1,13,1,9,1,13,2,6,1,13,8,30,1,6,1,8,1,13,2,9,1,6,1,13,2,9,1,13,7,9,1,13,3,11,1,13,5,8,3,13,1,9,1,13,2,9,1,13,4,8,1,9,1,13,3,9,1,13,1,9,1,13,2,9,3,13,2,8,1,9,2,13,1,8,1,13,1,9,1,11,1,9,1,11,1,13,1,10,1,9,3,13,1,11,3,9,2,11,1,8,1,9,2,10,2,11,1,9,3,13,2,11,1,9,3,13,1,33,48,5,371,13,1,28,4,29,1,30,1,29,1,6,1,7,1,6,1,28,7,30,1,13,2,6,1,13,2,29,1,6,2,13,1,7,1,6,1,7,1,6,1,13,1,7,1,13,1,7,1,6,2,13,2,6,2,7,1,29,1,6,1,29,1,6,1,30,2,29,1,6,1,29,1,7,1,6,1,13,1,6,1,13,1,7,1,13,2,7,1,13,2,9,1,8,3,13,1,8,1,13,2,7,1,13,2,7,2,13,2,6,2,7,2,13,1,29,2,30,1,13,1,6,3,13,2,29,1,6,1,7,2,13,2,6,1,7,1,8,1,13,2,6,2,8,1,13,1,6,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,9,2,8,1,9,2,13,1,9,1,8,1,9,2,13,1,9,1,10,1,9,2,11,1,9,2,11,1,9,1,11,2,9,1,16,2,11,1,16,1,11,1,16,1,11,4,10,1,16,2,11,3,10,1,9,3,13,4,7,1,9,1,11,1,13,2,6,1,13,5,9,7,13,1,9,1,16,1,13,2,8,1,13,3,9,1,13,2,9,1,13,3,9,2,13,3,9,1,13,1,9,1,13,3,9,2,13,1,9,1,13,1,8,1,9,1,11,1,13,1,8,1,9,1,11,3,9,2,11,1,9,3,11,3,16,1,11,1,9,1,16,1,11,1,9,1,11,2,16,1,8,1,9,2,13,4,30,1,6,1,28,1,13,1,6,1,13,1,9,1,13,2,9,4,11,1,9,2,13,1,9,1,16,1,13,1,9,2,16,3,9,1,11,1,9,1,13,3,6,1,13,1,28,1,30,1,6,1,30,1,6,2,13,1,28,1,6,5,13,3,8,1,16,3,17,3,16,3,9,1,16,3,13,1,16,1,11,1,9,2,13,2,16,1,9,1,14,1,16,1,9,2,16,1,9,1,11,1,16,1,11,1,16,2,9,1,16,1,9,1,16,2,11,1,16,2,9,1,11,1,9,2,13,1,6,1,28,3,16,1,10,1,8,1,9,3,13,1,7,2,29,1,7,1,6,1,7,1,6,1,7,1,6,1,13,8,8,4,9,1,8,1,13,1,8,2,13,1,8,3,13,1,9,1,8,3,13,1,24,2,13,2,24,1,13,3,7,1,13,2,6,2,13,3,8,1,13,3,8,1,13,1,8,1,29,1,8,3,11,2,9,1,11,1,9,1,8,1,9,1,11,4,16,1,11,3,16,2,11,2,16,2,11,1,10,1,9,5,8,1,13,1,8,1,11,1,13,1,9,1,8,2,13,3,8,1,13,2,8,1,13,2,6,1,13,1,8,1,13,5,7,1,24,1,13,2,8,2,13,4,9,1,13,5,8,3,13,1,8,1,9,2,13,1,9,1,8,1,13,1,8,2,9,1,8,1,9,1,13,2,9,3,8,1,13,1,9,1,11,1,13,1,9,2,10,1,9,1,11,1,10,1,11,4,16,1,10,1,11,1,9,2,11,2,9,1,11,3,10,1,9,1,10,1,11,1,9,1,10,1,9,3,10,1,9,2,11,2,9,2,11,3,9,2,11,1,9,2,8,1,11,1,9,3,17,2,9,1,28,1,6,1,5,1,33,4,13,1,28,2,6,1,29,1,28,1,30,1,6,1,30,1,13,4,29,1,6,3,30,1,13,1,6,5,7,2,30,1,29,1,7,1,13,3,6,1,7,2,6,1,30,7,28,2,13,2,6,1,13,1,7,2,30,1,28,3,30,1,29,1,30,1,13,1,7,1,13,1,9,1,11,2,9,2,10,1,9,2,11,1,10,2,11,1,9,1,11,1,10,1,9,1,10,1,9,5,8,1,9,1,8,1,13,1,9,1,8,4,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,4,9,3,10,1,9,2,17,1,11,1,17,1,12,1,17,11,16,1,17,6,11,1,16,1,17,3,11,1,17,4,11,4,17,1,10,1,9,1,11,1,9,1,13,1,33,3,5,5,13,2,9,1,17,2,12,3,17,1,10,2,12,1,17,1,10,1,11,2,8,1,9,1,13,1,9,1,24,1,7,1,8,2,13,1,24,1,13,2,24,1,8,1,24,2,8,2,12,1,8,2,9,1,12,1,9,2,11,1,17,1,10,1,17,1,8,1,10,3,8,1,12,3,9,1,10,1,9,3,11,1,10,1,12,1,24,1,9,2,17,1,8,1,12,1,9,1,8,1,9,1,10,1,12,1,9,2,12,1,17,1,10,2,9,1,24,1,9,1,8,1,17,1,9,1,11,1,12,1,17,1,11,1,17,1,12,1,10,1,11,1,10,1,11,1,10,1,12,1,9,1,11,1,5,32,28,14,13,1,14,1,16,2,11,1,7,1,24,1,6,2,30,1,6,1,29,3,13,1,9,2,16,1,13,1,28,5,6,1,17,2,13,1,6,1,30,1,28,2,30,1,28,25,9,1,14,1,12,1,13,2,28,1,30,1,9,1,10,1,8,1,7,1,6,1,29,1,6,1,28,1,6,2,8,1,}, {30,2,28,1,9,3,13,1,7,1,8,1,30,1,6,1,10,1,11,1,29,1,28,36,6,1,7,1,30,1,8,1,24,1,10,2,12,1,17,1,15,1,8,1,28,1,13,1,28,1,30,2,24,1,10,1,24,1,6,2,8,2,24,1,8,1,12,1,9,1,8,2,13,1,14,1,10,1,6,1,28,1,29,1,6,1,29,1,24,1,17,1,12,1,11,1,12,2,9,2,8,1,9,1,8,1,9,1,12,3,17,1,16,1,12,1,17,1,12,1,13,1,30,1,28,12,29,1,28,11,6,2,24,1,8,1,24,1,12,1,24,1,6,1,28,1,30,1,29,1,6,1,29,2,10,1,17,2,16,1,11,1,8,1,9,1,13,3,7,1,13,1,8,2,9,2,17,1,14,1,8,1,29,1,28,3,30,1,28,9,29,1,9,1,16,2,17,10,11,1,8,1,13,1,24,1,8,2,13,2,8,1,13,1,8,1,24,1,7,2,6,1,30,1,7,1,6,1,30,1,29,1,30,1,28,1,6,1,29,1,28,2,6,1,30,2,28,37,6,1,8,1,24,1,12,1,17,9,11,1,10,2,9,1,10,1,13,2,6,3,29,2,30,1,28,11,30,1,28,1,9,1,11,1,17,5,12,2,17,1,12,1,17,1,9,2,12,2,10,1,24,1,12,2,24,1,12,1,9,1,10,1,24,1,8,1,24,1,12,2,13,1,24,1,13,2,24,2,8,1,10,1,24,1,25,1,12,1,8,2,25,1,8,1,25,3,6,2,30,1,28,1,29,3,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,1,28,1,29,2,28,3,30,1,28,1,29,1,30,1,6,1,30,1,29,1,30,1,28,8,30,1,28,72,30,1,28,4,30,1,28,1,30,2,6,1,8,1,30,1,28,1,29,1,6,1,30,1,29,1,6,2,28,1,6,1,7,1,30,2,8,1,28,1,6,1,28,1,6,1,29,4,28,1,7,1,28,1,30,1,6,1,30,1,28,1,30,5,29,2,30,1,28,2,30,1,6,1,28,1,29,1,28,2,7,1,28,2,30,1,6,1,29,1,28,1,13,1,6,1,29,2,7,1,6,1,8,1,6,1,24,1,8,1,13,1,7,1,8,1,6,1,8,1,13,1,7,1,8,1,24,1,8,1,13,1,24,2,12,1,8,1,24,1,12,1,24,2,30,1,6,1,13,2,6,1,29,2,24,1,8,1,29,1,7,1,8,1,13,2,8,1,24,1,8,1,24,1,9,1,10,1,9,1,12,1,10,1,12,2,17,1,10,1,9,1,8,1,9,1,8,1,29,1,7,1,8,1,6,1,28,1,6,1,30,1,29,1,30,1,28,1,30,3,29,3,28,1,29,1,30,1,6,1,28,1,30,1,29,1,28,1,7,1,29,1,13,1,8,1,7,1,13,1,6,1,7,1,8,1,13,1,24,2,6,1,24,1,10,2,9,1,12,1,24,1,12,1,11,1,9,1,17,2,9,1,17,1,9,2,12,1,9,1,17,1,9,2,12,1,17,1,8,1,24,1,8,2,24,1,7,1,8,3,12,1,24,1,13,1,8,1,13,1,24,1,8,3,10,1,6,1,24,1,8,1,24,2,10,2,9,1,11,1,10,1,9,1,10,1,9,1,17,4,11,1,28,1,29,1,28,1,30,1,29,1,28,18,29,1,28,2,29,1,28,1,29,1,28,27,30,1,28,1,6,2,13,1,24,1,8,3,24,2,17,1,24,1,9,1,17,1,9,2,24,1,12,1,9,1,10,1,9,1,17,1,9,1,8,1,13,1,9,1,11,1,10,1,16,3,9,1,11,1,10,1,11,1,9,3,11,1,9,7,10,1,13,1,8,1,9,5,11,1,9,2,11,1,9,1,11,1,9,1,11,2,16,1,11,3,9,1,11,2,16,1,11,1,9,2,16,1,9,1,11,3,9,1,11,1,9,1,8,1,9,2,11,1,13,1,11,2,10,1,8,1,9,1,8,1,9,4,13,1,9,4,11,5,9,1,11,1,10,1,9,1,11,2,9,1,11,2,9,2,11,3,13,1,9,2,10,1,9,3,11,1,9,2,13,1,9,1,13,2,9,1,13,2,10,1,9,2,13,1,9,1,8,1,13,1,9,1,8,2,9,2,13,1,11,1,9,3,8,1,10,1,9,1,13,1,9,1,13,3,9,1,8,1,13,1,9,1,8,1,9,1,16,1,9,2,13,1,9,1,8,1,11,1,9,2,8,1,9,2,11,1,9,1,13,1,8,1,9,1,13,1,11,1,13,1,10,1,9,2,8,1,9,1,8,2,9,1,13,1,9,1,7,1,9,1,13,1,9,1,6,1,13,5,6,1,13,4,6,1,29,2,13,2,9,1,13,3,9,1,6,1,8,1,13,1,9,2,13,2,9,1,6,1,9,1,13,9,9,1,13,1,9,1,13,1,9,1,13,2,8,3,13,4,9,3,13,2,9,1,13,1,9,1,8,2,9,2,8,1,9,3,8,1,9,1,11,1,9,2,11,1,9,4,11,1,9,3,10,1,11,1,9,3,13,1,9,1,13,5,9,1,33,49,5,370,17,1,13,1,28,2,30,3,6,1,13,1,6,2,28,6,29,1,13,1,6,1,13,1,6,1,13,1,8,1,13,3,30,1,13,3,8,1,13,2,6,1,7,1,13,1,6,1,7,1,6,2,7,1,6,5,13,1,29,1,6,1,7,1,13,5,9,1,13,3,8,2,13,2,9,1,13,1,8,1,13,1,8,1,13,5,8,1,6,1,7,1,13,1,7,1,6,1,7,1,13,5,6,1,7,1,6,1,13,1,7,1,13,1,29,1,13,2,7,1,13,7,7,1,13,8,9,1,8,1,13,1,9,1,8,2,9,1,13,1,8,1,13,1,8,1,9,6,11,2,9,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,13,3,11,3,9,1,11,1,16,1,11,2,10,1,11,2,9,2,11,1,8,2,29,1,6,2,29,1,6,1,29,1,8,2,9,1,8,1,13,1,8,1,13,1,9,1,13,2,9,3,11,1,13,2,6,1,13,6,6,1,13,2,6,1,13,9,6,2,13,10,6,2,13,7,9,2,16,2,9,1,16,1,11,2,9,1,11,4,9,2,16,1,9,9,13,2,9,5,13,3,9,1,13,2,9,1,13,1,9,2,13,1,9,1,6,1,11,3,9,1,16,2,9,1,16,1,11,1,9,2,13,1,28,1,13,1,6,2,28,1,6,1,30,1,13,1,6,1,13,1,6,1,13,1,6,3,30,1,13,1,9,1,13,1,9,1,16,4,14,2,16,2,13,1,8,1,16,1,9,2,13,2,9,1,16,1,9,1,11,1,9,1,13,1,9,2,16,1,9,2,16,2,11,2,16,1,11,1,9,1,11,1,9,1,16,3,13,2,16,1,11,1,9,2,13,1,6,1,28,3,9,1,16,1,11,1,9,1,10,1,24,1,8,1,24,1,13,3,6,1,13,2,6,1,7,2,8,1,13,2,8,2,13,2,8,1,13,2,8,2,9,1,13,2,9,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,9,1,8,1,9,1,13,1,8,1,13,4,7,1,13,3,6,1,8,1,13,1,24,1,7,1,8,2,13,4,8,3,9,1,8,1,9,3,8,1,9,5,11,1,16,1,9,1,11,1,10,1,11,1,16,1,11,4,9,4,11,1,8,1,13,1,9,5,13,1,8,2,13,4,8,1,13,3,7,1,8,1,6,1,7,1,13,1,7,1,24,1,13,1,8,1,6,1,7,1,8,1,24,1,7,1,13,4,6,1,13,4,8,1,13,3,8,1,6,1,9,1,6,1,9,1,13,1,8,4,9,1,8,1,10,1,9,1,8,1,10,1,9,2,8,1,11,1,9,2,8,1,10,1,9,1,16,1,9,1,11,1,9,4,11,1,9,2,10,1,9,1,11,1,9,1,10,1,16,1,10,1,11,2,9,1,11,1,9,3,11,1,9,2,11,2,9,2,10,1,9,12,11,1,9,1,8,1,9,2,16,1,11,2,9,1,28,2,5,1,33,5,28,3,30,2,28,1,30,3,6,3,7,1,28,1,13,1,9,1,13,1,6,1,13,1,7,1,29,1,30,1,6,4,7,1,9,1,13,2,6,1,13,1,7,2,29,1,6,1,30,1,28,1,29,1,28,4,30,1,13,3,6,1,28,1,29,1,6,1,28,3,30,2,6,1,13,1,7,1,13,2,10,1,11,1,10,1,9,1,10,2,9,1,11,4,10,2,9,1,10,1,8,1,9,4,10,1,9,3,8,1,13,2,9,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,8,2,13,4,9,2,11,1,9,1,11,1,12,1,11,3,17,16,11,1,17,2,16,1,17,2,11,2,12,3,17,2,12,2,11,1,12,1,11,1,10,1,9,1,13,2,33,2,5,5,33,1,5,1,6,1,13,2,11,1,17,1,11,3,17,1,11,1,12,1,10,1,9,2,8,1,10,1,8,1,24,1,10,1,7,1,24,2,13,3,24,1,8,2,13,1,8,1,10,1,8,2,10,2,17,1,9,1,11,1,12,1,17,1,11,2,12,1,9,1,12,1,10,1,11,2,9,1,10,1,12,1,11,1,12,1,9,1,11,1,8,1,11,1,9,1,12,1,8,1,12,1,10,1,9,1,12,1,10,1,12,2,9,1,17,1,10,1,24,1,12,2,10,2,12,1,9,1,12,2,8,1,12,1,9,2,17,2,12,1,17,3,12,1,10,2,12,2,11,1,9,1,5,32,30,1,28,13,13,1,16,1,17,1,12,1,11,1,8,2,7,1,6,1,29,1,28,1,7,1,13,1,29,1,13,2,12,2,7,1,28,5,6,1,17,1,12,1,13,1,6,1,28,29,16,2,9,1,8,1,13,1,7,1,30,1,9,1,11,1,8,1,13,1,30,1,29,1,30,1,28,1,6,1,7,1,8,1,}, {30,1,28,1,6,1,10,1,24,1,6,1,8,1,13,1,6,3,8,2,13,1,28,33,30,1,28,1,30,1,28,1,6,1,29,1,8,2,24,1,9,2,17,1,9,1,8,1,6,1,29,1,6,1,29,1,30,1,7,1,17,1,8,1,6,2,30,1,13,1,8,2,7,1,9,1,8,2,7,1,12,1,8,1,6,1,29,1,7,2,6,1,8,1,17,1,12,1,10,1,16,1,12,1,8,1,9,1,8,1,9,1,8,1,10,1,12,1,9,1,17,2,12,1,10,1,17,2,13,1,28,25,7,1,13,2,8,1,24,1,12,1,9,1,8,1,30,1,6,1,28,1,13,1,30,1,6,1,8,1,9,1,16,1,24,1,9,1,13,5,9,1,13,1,9,1,11,1,10,1,16,2,14,1,9,1,28,13,6,1,8,1,11,1,16,1,17,2,16,1,17,2,16,1,17,2,11,1,17,2,10,1,9,1,13,1,9,1,24,1,13,1,8,1,7,1,9,1,7,1,13,2,6,1,13,1,6,1,13,1,29,1,7,1,8,1,6,1,30,1,6,1,29,1,27,1,6,1,29,1,6,2,29,1,6,1,28,7,29,1,28,28,29,1,24,2,9,1,12,1,17,9,11,1,12,1,24,1,12,1,10,1,8,3,13,1,7,1,6,1,30,1,28,2,30,1,28,8,30,1,29,1,8,1,17,7,12,1,11,2,12,2,10,1,12,1,24,1,10,2,24,1,8,1,12,1,9,1,24,1,12,1,8,1,24,1,9,1,8,2,24,1,9,1,8,1,10,1,24,1,8,1,24,1,8,1,24,1,8,2,24,2,7,1,25,1,29,1,25,1,8,1,6,1,28,2,29,1,28,1,29,1,28,1,30,1,28,3,30,1,28,3,30,1,28,6,30,1,28,3,30,1,28,1,29,1,28,1,29,1,30,1,28,1,29,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,3,30,1,28,68,30,1,28,1,30,2,28,1,29,1,28,2,30,1,28,1,25,1,29,2,28,1,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,7,1,28,1,30,2,29,1,30,1,6,1,13,1,28,1,29,3,6,1,30,1,28,1,30,3,28,1,6,1,29,1,30,1,28,3,30,1,29,1,30,2,28,1,6,1,30,3,28,1,6,2,30,1,8,1,6,1,29,1,6,1,29,1,7,1,13,5,8,2,7,1,8,2,29,1,24,1,8,1,24,2,8,1,24,2,8,1,24,1,12,1,13,1,8,1,9,1,8,1,7,1,13,1,7,3,6,2,8,1,6,2,24,1,7,1,8,1,6,1,12,4,9,1,12,1,10,1,12,1,9,3,11,1,8,1,9,1,24,2,8,1,13,1,29,1,7,1,29,2,6,1,29,1,28,1,6,1,28,2,30,1,6,1,28,1,29,1,28,1,6,1,7,1,28,1,6,1,29,4,6,3,13,1,7,1,13,1,24,1,8,1,6,1,8,5,13,1,9,1,12,1,9,1,12,1,17,1,12,2,10,1,12,1,11,1,17,1,10,1,12,1,13,1,24,2,17,1,8,2,9,1,8,1,10,1,8,1,24,1,8,4,24,1,13,1,10,1,13,1,8,1,24,1,13,1,7,1,24,1,12,1,24,1,13,1,24,1,8,1,9,1,10,1,9,1,10,1,11,1,17,1,11,1,17,1,10,1,17,1,9,1,17,2,6,1,28,3,6,1,28,21,30,1,28,30,30,1,6,3,13,1,24,1,8,1,12,1,8,1,12,1,24,2,9,1,12,1,9,2,11,1,17,2,12,1,17,1,12,1,10,1,24,1,6,1,13,1,11,1,16,2,11,1,16,1,11,1,16,2,11,2,9,1,11,1,9,3,11,1,9,2,10,1,9,3,8,2,9,1,11,1,9,4,13,1,11,1,9,2,11,3,16,1,9,2,11,2,9,1,16,1,9,1,11,1,9,6,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,13,1,9,4,11,2,9,3,8,1,9,1,13,2,9,3,13,1,9,3,11,1,9,1,13,1,9,3,11,2,9,3,10,3,9,1,11,1,8,1,9,3,8,1,9,3,8,1,9,10,13,1,9,11,13,1,9,1,13,2,8,1,9,4,13,4,9,1,13,1,9,1,8,1,9,1,11,1,9,1,13,2,9,2,8,1,9,4,13,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,9,3,13,1,8,1,9,1,13,1,9,1,13,3,8,2,9,1,13,1,8,1,13,4,6,1,13,1,30,1,8,1,6,1,7,1,13,1,9,1,7,1,8,1,13,1,8,1,13,1,7,1,13,1,7,1,13,13,6,1,13,1,8,1,13,7,9,2,8,1,13,1,8,1,9,2,8,2,13,1,9,2,13,4,9,8,11,1,9,1,11,1,9,5,10,1,9,1,11,2,9,1,11,1,9,2,13,1,9,1,13,5,33,49,5,370,16,1,9,1,6,1,7,1,6,1,7,1,6,2,13,1,6,3,30,1,6,1,28,1,30,2,13,1,6,1,7,1,13,1,6,1,7,1,13,1,6,1,13,2,7,2,6,1,13,4,6,2,13,2,6,1,13,1,6,1,29,1,7,2,29,1,7,2,13,2,6,1,13,3,8,2,13,1,8,4,13,1,8,1,9,1,13,5,6,1,13,4,8,1,6,1,7,1,13,3,6,2,13,2,6,1,13,3,8,1,7,1,13,6,7,1,13,2,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,9,1,13,3,9,1,10,1,8,1,9,5,8,1,9,7,10,1,9,2,10,1,11,1,9,1,11,2,9,1,13,1,30,2,28,2,11,1,17,1,11,1,9,1,11,1,9,1,11,1,16,2,11,1,9,1,10,1,9,2,13,2,30,2,6,1,7,1,29,1,6,1,30,1,6,1,13,1,9,1,8,1,13,3,6,2,13,1,30,1,6,1,13,3,30,3,13,13,6,1,13,4,6,3,13,3,9,1,13,7,6,2,30,1,6,2,30,1,13,2,9,3,13,1,9,1,16,1,9,1,11,1,16,2,11,1,16,2,11,1,9,1,11,3,9,1,16,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,13,1,9,1,16,1,9,3,13,2,9,1,13,1,9,1,11,1,9,2,11,2,9,1,11,1,9,1,16,2,13,1,16,1,11,1,16,1,11,1,9,3,13,2,6,1,30,2,28,2,30,2,13,2,6,1,30,1,13,3,9,1,13,1,9,1,13,1,16,2,14,2,16,3,11,1,9,1,16,1,13,2,9,1,11,1,16,1,9,5,13,1,11,1,16,3,9,3,13,3,9,1,11,1,9,1,16,1,11,1,8,1,9,1,13,1,9,2,13,2,9,1,30,1,28,3,30,1,16,1,9,1,8,2,9,1,8,2,11,1,6,1,13,1,7,2,8,2,13,1,7,1,13,2,8,1,13,1,8,2,13,1,8,1,13,1,8,3,9,1,8,1,9,1,8,1,9,2,13,1,9,3,13,1,9,2,8,1,13,1,24,1,8,1,13,3,24,1,7,2,13,1,7,1,13,1,8,1,24,1,8,2,13,1,8,1,24,1,13,1,9,1,8,2,13,1,9,1,8,2,9,8,11,5,16,1,11,1,16,2,9,1,11,3,9,5,8,1,9,4,8,1,13,5,8,1,13,1,6,1,13,3,7,1,13,2,6,1,8,1,13,6,6,1,7,2,13,4,8,1,13,2,8,7,9,1,8,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,10,1,11,1,9,2,13,1,9,4,10,1,9,1,10,2,9,5,11,1,9,2,13,1,9,1,13,1,9,2,10,1,9,3,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,11,1,9,2,13,1,10,1,9,4,11,1,8,1,9,2,13,1,9,4,11,1,9,1,11,1,8,1,11,1,17,1,13,1,30,1,6,1,5,5,30,1,28,3,30,1,29,1,28,1,30,2,29,1,6,1,30,1,28,1,6,1,33,3,13,1,28,1,6,2,30,1,29,1,6,3,9,2,13,2,7,2,6,1,7,1,29,1,28,1,30,1,28,1,30,1,28,5,30,1,28,2,30,2,28,1,30,1,28,4,30,1,6,1,29,1,13,1,7,1,9,3,10,1,9,2,12,1,9,1,10,1,9,1,11,1,9,1,11,2,9,1,11,1,9,3,11,1,10,1,9,1,11,1,8,1,13,1,8,3,9,1,13,2,8,2,13,3,8,3,13,1,8,1,13,2,9,4,12,1,11,2,10,1,11,2,17,15,16,2,17,4,11,5,17,2,12,1,11,1,12,1,10,1,11,2,9,1,8,1,30,1,28,1,13,1,33,1,5,7,9,1,28,2,13,1,16,2,11,1,17,1,12,2,11,1,9,1,24,1,12,1,10,1,8,2,24,4,13,1,24,1,8,2,13,1,8,1,24,1,8,2,13,1,24,2,11,1,17,1,8,1,10,1,9,1,11,2,17,1,11,1,9,1,11,1,10,1,9,1,12,2,9,1,17,1,9,1,12,1,9,3,10,1,8,1,10,1,8,1,13,1,12,2,24,1,8,1,11,1,9,1,10,1,24,1,9,1,11,1,17,1,24,1,12,3,10,2,9,1,11,1,12,1,8,1,17,2,12,1,17,1,12,1,10,1,12,1,9,1,12,1,9,1,10,1,9,1,17,1,8,1,9,1,5,31,30,1,28,13,13,1,11,2,16,1,8,1,9,1,13,1,8,1,6,3,29,1,13,4,9,2,30,1,28,5,29,1,12,1,17,1,6,1,28,30,14,2,16,1,8,1,6,1,30,1,6,1,12,1,8,1,13,2,6,1,30,2,28,1,29,2,24,1,}, {28,3,24,2,7,1,24,1,6,1,30,1,29,1,6,1,8,1,15,1,6,1,28,35,30,1,29,2,6,2,24,2,8,1,24,1,17,2,9,1,29,1,30,1,29,1,6,3,17,1,8,1,13,1,29,1,6,1,13,1,8,1,24,2,10,1,7,1,29,1,8,1,14,1,8,1,6,1,29,2,6,1,29,1,8,1,17,1,12,1,17,2,12,1,9,1,8,1,24,2,9,2,17,1,12,1,9,1,12,1,17,1,11,1,17,2,8,1,28,14,30,1,28,3,30,1,28,6,29,1,8,2,24,1,9,1,10,2,6,3,30,2,28,1,7,1,24,1,12,2,17,1,9,1,13,1,8,2,9,2,11,1,9,3,10,2,17,1,14,1,12,1,30,1,28,13,30,1,9,1,17,7,11,1,17,1,16,1,17,2,12,1,11,1,12,1,13,1,9,1,24,1,8,1,9,1,13,1,8,1,13,1,24,1,13,1,8,1,6,1,24,1,29,1,6,1,8,1,7,1,6,1,29,2,7,1,29,2,6,1,29,1,30,1,6,1,30,1,28,1,29,1,28,33,30,1,6,1,10,1,24,1,9,1,17,11,12,1,10,1,12,1,10,1,9,1,12,1,24,1,8,1,7,1,29,2,28,2,30,1,28,8,30,1,24,1,17,8,10,1,12,1,10,1,9,2,10,1,9,1,10,2,9,3,8,1,24,1,12,1,8,1,24,4,8,1,24,1,12,1,13,2,24,1,13,2,24,1,25,1,24,1,8,1,26,1,7,1,25,1,28,1,7,1,28,2,30,1,28,1,30,1,28,4,29,1,28,4,30,1,28,7,29,1,28,3,30,1,28,1,29,2,28,1,30,1,29,1,30,1,28,2,29,2,28,1,6,1,28,1,30,1,28,63,30,1,28,2,29,1,28,10,30,1,29,3,28,1,6,1,29,4,30,2,29,1,30,1,6,1,30,2,6,1,29,1,6,1,29,1,28,1,6,1,30,1,6,1,28,1,6,3,30,1,28,1,7,1,29,2,28,2,6,1,28,1,13,1,28,2,29,1,6,1,29,1,28,3,29,1,28,1,29,2,7,1,28,2,6,4,30,1,7,2,29,1,24,1,13,1,6,1,8,2,24,1,8,2,13,1,7,2,8,2,29,1,7,1,24,1,8,3,24,1,9,1,29,1,8,1,10,1,8,2,7,1,8,1,7,1,29,1,6,1,13,1,7,1,8,1,7,1,30,1,13,3,24,2,13,1,9,1,10,1,11,1,12,1,9,1,12,1,10,1,9,1,10,2,9,1,8,1,10,1,24,1,10,1,24,1,7,1,6,3,29,1,28,2,6,1,30,1,6,1,30,1,28,1,29,1,28,1,29,1,6,1,30,2,7,1,6,1,7,1,6,1,29,1,6,1,7,1,8,2,7,1,13,1,24,1,10,1,8,1,9,1,13,1,9,4,12,3,17,1,10,1,17,1,12,1,10,1,9,3,12,3,9,2,13,1,7,1,8,3,9,1,12,1,9,1,24,2,8,1,7,1,24,1,6,1,24,2,9,1,12,1,24,2,6,2,10,1,24,1,8,1,10,1,12,1,10,1,9,1,10,1,11,1,10,1,11,1,12,1,17,4,8,1,30,1,28,1,29,1,28,18,30,1,28,1,30,2,28,31,6,4,13,1,7,1,24,2,10,2,12,1,8,1,12,2,9,1,11,1,9,1,17,1,10,1,12,1,9,1,24,1,12,1,11,1,13,2,9,1,10,1,11,1,16,1,11,1,16,1,11,5,16,2,11,3,9,1,11,2,9,5,8,1,9,3,11,1,9,1,11,1,9,2,11,1,9,1,16,1,9,1,11,1,10,1,11,2,9,1,11,3,16,1,11,2,9,2,16,1,11,3,9,1,11,1,9,1,11,1,9,3,11,1,9,3,11,2,9,3,11,1,9,3,10,1,9,3,11,2,9,2,10,1,9,1,13,1,11,2,13,1,9,4,11,3,9,1,13,1,11,1,9,1,10,1,9,3,8,2,13,1,9,2,13,2,9,1,13,2,9,1,13,1,11,1,9,1,13,2,9,1,13,1,9,2,13,3,9,1,13,1,9,3,8,1,9,2,13,3,9,1,8,1,9,2,8,1,13,1,9,2,8,1,9,3,13,1,9,1,13,1,8,1,13,1,8,1,9,2,11,1,9,2,8,1,9,1,13,2,9,1,13,1,9,1,8,2,13,1,9,1,13,2,9,2,10,1,9,1,8,1,9,1,6,1,8,1,9,1,13,2,8,1,13,2,9,1,13,7,7,1,13,1,8,1,13,5,8,1,13,4,6,1,13,2,8,2,13,5,6,1,8,1,13,11,9,1,13,1,9,2,13,1,9,1,13,1,8,1,13,2,9,1,13,1,9,1,8,1,9,1,13,1,9,3,11,1,13,1,9,2,10,1,9,2,11,2,9,8,10,1,9,1,13,5,9,1,7,1,13,1,33,50,5,370,17,1,13,1,7,2,13,1,6,6,13,1,6,1,28,1,30,1,6,2,7,1,13,5,7,1,13,6,7,1,8,2,13,1,7,2,6,1,7,3,6,1,13,1,7,1,6,1,13,1,6,1,13,1,7,1,13,2,8,1,13,1,8,2,13,1,8,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,13,2,8,1,13,2,7,1,13,3,7,1,13,3,7,1,13,2,6,1,7,1,13,2,24,1,7,1,13,1,6,1,13,2,8,1,13,5,8,1,13,1,8,1,13,1,7,1,8,1,13,1,8,2,13,3,9,2,8,1,9,3,8,1,9,6,8,2,9,3,11,1,10,1,11,1,9,1,10,2,11,1,13,1,28,7,17,1,9,1,11,2,9,2,11,2,10,1,11,2,13,3,7,1,6,2,30,1,6,1,30,1,6,1,30,1,28,3,6,2,13,1,8,1,9,1,6,1,13,5,6,2,30,1,6,3,13,19,8,1,13,3,8,1,13,1,6,1,13,7,6,2,13,1,6,1,9,2,6,1,13,2,8,1,6,1,13,1,9,2,11,1,9,1,11,1,16,1,9,3,11,2,16,2,11,2,16,1,11,1,9,1,8,1,9,1,13,2,9,4,13,4,9,7,13,1,16,1,11,1,9,1,16,1,9,3,16,1,9,1,11,3,9,3,13,1,30,1,6,1,13,1,30,1,6,1,13,1,6,1,30,2,6,1,13,2,6,1,13,1,9,1,13,1,6,1,13,1,16,2,14,2,17,1,16,2,13,2,9,1,13,1,9,1,8,1,9,1,13,2,9,1,13,1,11,1,9,1,16,4,11,1,9,5,16,1,9,1,13,1,11,1,9,2,13,1,9,2,11,1,9,1,16,1,13,2,28,4,8,1,11,2,10,1,13,1,24,1,9,2,8,1,13,1,8,2,13,1,7,1,8,1,9,1,13,2,8,2,13,2,8,5,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,13,2,9,1,13,3,8,1,13,1,8,2,13,3,24,1,8,1,13,2,8,1,13,1,9,1,8,5,9,5,8,1,10,2,11,1,9,1,11,3,16,1,11,1,16,4,11,3,10,1,11,1,9,6,8,1,9,2,11,1,9,2,13,6,8,1,13,1,6,1,7,1,8,2,13,2,8,1,6,1,13,2,6,1,8,1,13,1,8,1,7,1,13,10,8,1,9,1,13,1,8,1,13,2,8,4,9,1,13,1,8,1,10,1,9,5,11,1,9,1,10,1,9,4,8,1,11,1,9,5,10,1,9,3,13,1,9,1,8,1,9,1,10,1,9,3,10,1,9,3,11,1,9,1,10,1,11,1,9,1,10,2,9,7,8,1,9,5,8,1,9,4,13,1,10,1,9,1,10,1,11,1,9,1,10,1,9,1,17,1,16,1,28,2,5,4,33,1,28,4,30,1,28,2,30,1,6,1,30,1,28,2,30,1,33,4,13,2,30,4,7,1,13,2,8,1,13,4,29,1,6,1,13,1,30,3,28,14,30,1,28,4,30,1,6,1,13,1,8,1,9,3,10,1,11,2,9,1,11,1,9,1,11,1,9,1,10,3,9,2,11,1,8,1,9,1,8,1,9,5,8,5,13,2,7,3,8,3,13,1,8,2,9,1,8,1,9,4,11,6,17,4,16,2,17,5,16,1,17,3,11,1,16,1,17,3,12,1,17,2,10,1,11,2,12,1,17,1,11,6,10,1,13,1,28,2,30,1,13,1,5,8,33,1,5,1,9,1,16,2,11,1,9,1,17,1,12,1,9,1,17,1,12,1,9,1,8,1,10,1,24,3,8,4,13,1,24,1,8,1,24,1,13,2,8,1,9,1,10,1,9,1,10,2,9,1,17,1,12,1,11,1,17,1,10,2,9,1,10,1,11,1,10,1,9,1,12,1,8,1,24,1,9,1,10,1,9,1,11,1,24,1,10,1,8,1,10,1,13,1,12,1,10,1,12,1,10,1,9,1,12,1,8,1,9,1,12,1,9,1,17,1,9,1,12,1,10,1,24,1,9,1,12,4,11,1,12,1,17,7,10,2,12,1,9,1,12,1,9,1,13,1,9,1,5,30,6,1,28,13,13,1,16,1,11,1,17,1,24,1,13,1,7,1,13,1,6,2,13,1,29,1,6,1,30,1,13,1,8,1,10,1,8,1,6,1,28,5,6,1,11,1,17,1,29,1,28,1,30,1,28,28,14,2,11,1,13,2,30,1,6,1,9,2,8,1,13,1,6,1,29,1,28,3,13,1,8,1,}, {30,1,28,1,29,1,24,1,13,2,8,1,29,1,30,1,28,1,7,1,8,1,17,1,6,1,28,34,30,1,28,3,30,1,8,1,6,1,10,1,8,1,17,2,15,1,8,1,30,1,29,1,6,2,30,1,8,1,10,1,24,1,6,1,13,1,8,1,6,1,8,2,10,1,9,1,13,1,6,1,13,1,14,1,10,1,6,1,7,1,29,1,30,1,6,1,8,1,17,1,9,1,17,2,9,1,12,1,9,1,24,2,13,1,12,1,17,2,12,1,17,1,11,1,12,1,17,2,7,1,6,1,28,9,30,1,28,3,30,1,28,10,6,2,9,1,10,1,24,1,15,1,13,2,29,1,30,2,6,2,7,1,13,1,9,1,17,2,12,1,13,1,8,1,9,2,10,2,9,2,12,1,9,1,17,3,10,1,6,1,28,11,6,1,28,1,30,1,9,1,16,1,17,1,16,2,17,1,16,1,11,2,16,1,11,1,17,2,11,1,12,1,16,1,11,1,8,1,24,1,13,2,8,1,13,1,6,1,13,1,24,1,8,1,13,1,29,1,7,2,13,1,6,1,28,2,6,2,29,3,30,2,29,2,6,1,29,1,28,1,30,1,28,4,30,1,28,27,6,1,13,1,7,1,24,1,17,14,24,1,9,2,12,2,7,1,24,1,7,1,29,1,28,2,29,1,30,1,28,1,6,1,28,1,29,2,6,2,8,1,17,9,12,2,9,1,10,2,12,1,10,1,12,1,9,3,24,3,10,1,24,3,10,1,24,1,9,1,8,3,7,1,8,1,13,1,8,1,6,1,8,1,7,1,8,2,28,1,30,1,29,1,28,3,29,1,28,5,30,1,28,3,30,1,28,8,30,1,28,5,6,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,16,30,1,28,46,30,1,28,2,30,1,28,5,30,1,28,1,30,1,6,1,28,1,30,1,28,1,29,1,8,1,30,1,29,1,28,1,6,3,29,1,28,2,30,3,29,1,30,1,28,1,29,1,13,2,29,1,8,1,29,2,6,1,28,1,29,1,30,2,28,2,29,1,6,1,28,2,13,1,29,1,28,1,30,1,28,1,29,1,30,2,28,1,30,1,6,1,28,1,30,2,6,1,7,1,30,1,29,1,6,2,13,1,7,2,6,2,13,1,8,1,6,1,13,2,30,1,7,1,13,1,24,1,8,1,7,2,12,1,24,1,8,1,13,1,7,1,13,1,24,1,10,1,8,1,24,1,13,2,7,1,6,2,7,2,8,1,7,1,6,1,8,1,13,2,7,1,13,1,6,1,24,1,8,2,12,1,10,2,12,2,24,1,12,1,9,1,11,1,9,1,24,1,10,1,17,1,10,1,24,1,13,1,10,1,6,1,7,1,13,1,7,2,6,1,29,2,30,1,6,1,29,1,6,1,7,1,30,1,8,1,29,1,7,1,29,1,13,3,8,3,24,1,7,1,24,1,9,1,24,1,8,1,24,1,11,1,9,3,24,1,12,1,10,1,24,1,17,1,10,1,17,1,8,1,17,1,9,1,24,1,17,1,10,1,24,1,12,2,24,1,12,1,9,1,10,1,8,2,24,1,12,1,13,1,24,1,13,1,8,1,24,3,8,2,24,1,8,2,13,1,9,1,24,1,8,1,24,3,8,1,9,1,10,1,12,1,17,1,10,1,12,2,10,1,12,2,17,2,7,1,28,1,30,2,28,10,30,1,28,42,6,1,30,1,7,1,29,1,8,1,24,2,7,1,12,1,9,4,11,2,17,1,10,1,9,1,10,2,24,1,8,1,9,1,13,2,9,1,10,1,16,3,11,1,16,1,11,1,9,1,16,2,10,1,11,2,10,1,9,1,16,1,11,1,9,2,11,1,10,1,16,1,8,1,9,3,11,1,9,1,11,1,9,1,10,1,11,1,9,5,10,1,9,2,10,1,9,1,11,4,16,2,9,1,16,1,9,2,11,1,9,1,11,3,9,1,16,1,13,1,11,2,9,1,11,1,9,1,10,1,11,1,9,1,11,1,9,7,11,2,9,2,16,3,9,1,13,1,11,2,9,2,13,1,9,4,11,1,13,1,9,3,10,1,9,3,13,3,10,1,9,1,8,1,9,1,13,3,9,1,13,1,9,1,11,1,13,1,9,3,13,1,9,1,13,2,8,1,13,1,9,1,13,2,8,1,13,1,9,1,13,2,9,2,11,1,13,1,9,3,8,1,9,1,8,1,13,1,11,1,9,5,8,2,13,3,9,1,13,2,8,1,9,1,13,2,16,1,8,1,9,1,8,1,13,1,9,2,13,1,9,2,8,1,13,1,8,1,9,2,8,1,9,1,8,1,13,1,9,2,13,2,8,2,13,1,7,1,9,1,13,4,9,1,13,1,6,1,9,1,13,3,6,1,7,1,13,1,6,1,13,5,7,1,13,1,8,1,13,1,8,1,6,1,13,2,9,2,8,1,13,1,9,1,13,1,8,1,13,1,9,3,6,1,9,4,13,1,8,1,13,3,8,1,13,1,9,1,13,1,9,1,13,1,9,5,10,1,9,1,11,1,9,1,16,1,9,1,10,1,11,1,9,2,11,1,8,1,11,3,9,1,11,1,9,2,13,2,9,1,13,1,9,1,13,1,33,51,5,369,13,1,17,1,13,2,6,1,13,1,7,1,29,1,8,1,6,1,30,1,7,1,6,1,28,1,30,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,8,1,13,2,7,2,13,2,6,1,13,1,7,1,8,1,7,1,13,2,7,1,13,1,6,1,13,2,6,1,8,1,13,1,8,2,13,1,8,1,13,1,9,1,13,1,8,2,9,1,13,1,9,1,13,1,8,1,9,1,8,3,13,1,8,1,13,1,8,1,13,3,7,1,13,1,6,1,8,1,13,2,8,1,13,4,6,2,8,1,13,7,8,1,13,1,8,1,13,2,8,1,9,1,13,1,8,1,13,1,9,1,8,1,9,3,13,1,9,2,8,1,9,10,10,1,9,3,10,1,11,1,9,1,10,1,9,2,17,2,13,1,30,1,28,7,6,1,17,1,9,1,11,1,9,2,11,3,10,1,8,1,9,1,13,1,6,3,29,2,28,1,30,3,6,1,29,1,30,1,6,1,28,1,7,1,13,2,8,1,9,2,8,1,6,1,13,2,6,1,13,1,6,1,13,2,6,1,13,2,6,2,8,1,13,2,6,1,13,6,6,1,13,6,6,1,13,4,30,1,13,3,6,1,13,4,6,1,8,2,13,2,9,1,13,1,9,2,13,1,9,1,13,1,8,1,16,1,11,3,9,3,16,1,9,2,11,2,16,2,9,1,13,2,9,1,13,1,9,1,13,1,11,1,13,1,6,1,9,1,13,1,9,2,13,3,9,1,13,1,9,2,11,2,13,1,9,1,11,2,9,3,11,1,9,2,11,1,9,3,6,2,9,1,13,1,28,1,30,1,28,1,30,2,6,1,13,4,9,2,13,1,6,1,11,1,16,3,17,1,16,3,11,1,13,2,9,1,8,1,13,2,9,1,6,1,9,1,13,1,16,6,9,3,13,1,9,4,11,1,9,3,13,1,9,5,6,1,28,5,13,1,17,1,10,1,9,2,10,1,24,1,9,1,8,2,13,2,8,1,7,1,13,1,8,2,13,3,8,1,13,3,9,2,8,1,9,3,13,1,9,1,13,1,9,1,8,2,9,1,8,3,24,1,8,2,13,4,8,1,13,1,24,1,13,2,24,2,13,1,24,1,13,3,9,1,8,1,9,10,10,1,11,6,16,2,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,2,9,2,8,1,9,3,8,5,9,1,13,3,8,1,13,1,7,1,6,1,8,1,24,1,8,2,7,1,13,1,6,1,13,1,8,1,13,2,8,1,13,3,8,1,13,1,6,1,8,1,13,2,8,1,17,1,10,1,13,2,8,1,13,1,9,6,13,1,10,1,8,1,9,2,8,3,10,1,9,2,10,1,9,1,8,1,9,3,11,1,9,2,8,1,9,2,8,1,9,3,11,1,9,2,11,1,9,1,11,4,9,3,10,1,11,4,9,2,8,1,9,1,8,2,9,1,13,1,9,1,13,1,9,1,8,2,9,1,11,1,9,2,11,1,9,1,8,1,9,1,8,1,9,4,16,2,28,1,13,1,5,5,28,1,30,1,28,3,30,2,6,3,30,1,28,1,13,1,33,4,5,1,13,1,28,2,30,1,28,1,7,1,13,3,8,1,13,1,6,1,7,1,6,1,29,1,28,2,30,1,28,6,13,2,28,5,30,4,28,3,30,1,6,1,13,2,8,1,9,1,11,1,9,2,11,3,9,1,10,1,11,2,10,1,9,3,11,1,9,1,8,1,10,2,9,1,10,1,9,3,13,1,9,1,8,1,13,2,6,1,13,1,7,1,13,2,8,1,13,1,8,2,13,2,8,1,9,3,10,3,11,1,9,1,17,1,16,1,17,7,16,1,17,5,16,1,17,3,11,1,17,4,12,1,17,1,9,2,17,3,12,1,9,1,11,4,9,1,7,1,30,1,28,2,13,1,5,10,9,1,16,1,11,1,17,1,12,3,10,1,12,1,9,1,10,2,9,1,10,3,13,1,8,2,24,1,8,1,24,2,8,1,13,2,24,1,8,1,9,1,24,2,12,1,17,2,11,2,17,1,9,1,11,1,12,1,17,1,10,1,12,2,10,2,9,1,10,1,9,1,12,2,24,1,10,1,13,1,10,2,24,2,10,1,9,1,8,2,13,1,9,1,24,1,12,1,8,1,9,1,12,1,8,1,11,1,9,2,12,3,17,1,12,1,17,2,11,1,17,3,11,1,17,1,11,1,10,1,12,1,9,2,5,30,13,1,28,13,13,1,17,2,11,1,9,2,13,2,7,1,6,2,30,1,6,1,28,1,24,1,17,1,9,1,17,1,30,1,28,5,13,1,11,1,17,1,30,2,28,29,14,2,16,1,13,4,11,1,24,1,9,1,7,1,30,4,28,2,9,1,}, {28,3,15,1,7,1,24,1,6,1,30,1,6,1,30,2,24,1,11,1,29,1,28,36,29,1,28,1,30,1,8,1,24,1,8,1,9,1,17,1,12,1,14,1,24,1,30,2,6,1,28,1,30,1,7,1,15,1,13,2,6,2,7,1,6,1,24,1,9,1,8,1,6,1,13,1,6,1,17,1,15,1,7,2,6,1,13,1,6,1,13,1,17,2,11,1,12,3,9,1,8,1,13,2,17,1,12,1,11,1,17,2,12,2,9,1,16,1,9,1,6,1,28,2,30,1,28,7,30,1,28,1,30,1,28,11,30,1,8,1,11,1,10,1,9,1,10,1,15,1,29,1,28,1,30,1,29,1,30,1,6,1,28,1,24,1,10,1,17,3,24,1,9,1,13,1,9,1,8,2,9,3,12,1,11,1,17,2,10,1,28,14,30,1,9,1,17,1,16,1,17,1,11,1,17,1,11,1,17,1,16,2,11,1,10,1,16,2,11,2,17,1,8,1,13,3,8,1,13,1,8,1,7,2,24,1,6,1,7,2,8,1,6,1,8,2,6,3,30,1,29,1,7,1,25,1,30,1,29,1,30,1,28,2,29,1,30,1,29,1,28,30,30,1,29,1,7,1,8,1,24,1,8,1,24,1,17,15,12,2,8,1,9,1,24,1,7,1,28,1,6,1,29,3,28,2,30,1,6,1,13,1,24,1,8,2,12,1,17,7,12,1,9,1,12,1,24,1,9,1,8,1,24,1,12,1,8,2,12,1,10,1,24,1,9,1,24,4,8,3,13,1,8,1,24,1,7,1,8,2,7,2,25,2,6,1,30,2,29,1,28,33,30,2,28,1,30,1,29,2,28,1,30,1,28,2,29,1,28,4,30,1,28,54,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,4,6,1,29,1,6,1,30,1,6,1,30,1,29,1,6,1,29,1,6,1,30,1,6,1,28,1,7,1,6,1,30,1,29,1,28,1,30,1,28,1,13,1,30,1,6,2,30,1,28,1,6,1,28,2,30,1,29,1,28,1,30,2,28,1,30,1,28,2,6,1,28,1,6,1,29,1,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,3,28,1,13,1,28,1,6,2,13,1,6,1,7,1,6,1,24,1,7,1,13,1,24,1,13,1,8,1,13,1,7,1,8,1,24,1,8,1,13,1,29,1,13,1,24,2,8,2,24,1,8,2,7,1,6,1,13,1,8,1,13,1,6,1,8,1,13,1,7,1,8,1,13,1,6,1,13,2,8,1,13,3,9,1,8,1,24,1,12,2,9,1,12,2,9,1,10,1,11,1,17,1,12,1,9,1,12,1,9,1,10,1,8,1,10,1,13,1,24,1,13,1,8,1,6,1,13,2,7,1,13,2,7,1,13,1,7,1,8,1,6,1,13,1,8,1,24,1,7,1,8,1,7,1,24,4,13,1,24,1,8,1,24,1,9,1,6,1,8,2,11,3,12,1,17,3,12,1,17,1,12,2,24,1,9,1,12,3,24,1,9,1,10,1,9,2,10,1,8,1,10,1,12,1,24,1,8,3,24,2,9,1,13,1,24,1,8,1,24,3,8,1,24,1,8,1,24,1,10,1,9,1,24,1,10,1,8,1,24,1,10,2,12,2,10,1,12,1,10,1,17,2,11,1,30,2,28,12,29,1,28,6,30,1,28,4,30,1,28,29,30,1,29,1,6,1,29,1,7,1,13,1,10,1,8,1,12,1,10,1,24,2,9,2,11,1,9,1,17,1,12,1,9,1,17,1,12,1,10,1,12,1,9,1,13,1,8,1,9,1,11,1,16,3,11,1,16,1,10,1,16,1,11,2,9,1,11,3,9,4,11,1,9,1,16,1,9,2,11,1,9,2,11,1,9,1,11,1,9,1,8,1,16,1,9,1,11,1,9,1,16,1,11,1,16,2,9,3,10,1,9,1,10,1,9,1,11,1,9,3,16,2,11,3,9,2,11,2,8,1,13,1,11,1,9,1,11,1,9,1,11,2,9,2,11,1,9,2,11,1,9,1,11,1,9,2,16,1,9,1,11,1,9,2,16,1,10,1,9,1,16,1,9,1,11,1,9,5,13,1,9,1,13,3,9,1,8,1,9,2,8,1,13,1,9,3,13,1,8,1,9,1,13,2,8,1,13,2,9,4,13,2,9,2,13,1,8,1,13,2,9,3,13,1,8,1,13,2,8,1,9,1,6,1,13,2,9,1,8,2,13,2,9,2,10,1,9,2,11,1,9,4,13,1,9,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,9,1,8,2,10,1,13,1,9,1,10,1,9,1,8,2,9,2,13,2,9,1,13,2,8,1,13,3,8,1,9,1,8,1,13,4,8,1,13,1,8,1,13,2,8,1,13,1,8,1,13,2,8,1,6,1,28,1,13,1,7,1,13,7,6,1,13,1,9,3,13,1,8,2,13,2,9,1,13,1,9,1,13,2,9,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,9,2,13,1,9,2,13,1,9,3,13,4,11,1,9,4,11,2,10,1,11,1,9,1,8,1,9,3,11,1,9,3,11,1,10,1,11,1,13,1,9,3,13,1,30,1,33,52,5,369,6,1,16,1,13,3,30,1,6,1,13,1,6,2,13,1,30,1,6,1,29,1,6,1,7,2,13,1,6,1,13,2,6,1,13,1,7,5,8,1,7,1,8,1,13,3,7,1,29,2,13,1,7,1,13,3,7,1,13,2,8,1,9,1,13,2,9,2,8,1,9,4,13,1,8,1,13,1,9,1,8,2,13,2,8,1,6,1,8,1,13,1,7,1,8,2,13,4,30,1,8,1,6,1,8,1,13,4,6,1,13,1,8,1,13,1,8,1,13,3,9,2,8,4,13,1,8,1,13,1,8,2,13,2,8,1,13,1,8,1,9,3,11,1,9,2,10,1,9,7,11,1,9,1,11,1,9,2,11,1,12,1,9,1,13,1,30,1,28,10,17,2,11,1,9,1,11,3,10,1,9,3,13,1,6,2,30,1,6,1,30,2,6,1,30,1,29,1,30,5,6,1,28,1,6,2,29,1,13,3,9,2,8,1,16,1,13,2,9,5,13,1,8,1,13,1,9,2,8,1,13,3,9,1,8,1,9,1,13,5,8,1,13,2,6,2,13,1,30,1,8,1,6,2,9,2,13,1,28,1,30,1,13,5,6,1,13,3,8,1,13,1,9,1,13,1,9,1,16,1,13,1,9,1,8,2,11,1,9,3,11,1,9,2,11,1,9,2,16,1,11,1,9,5,13,2,9,1,13,1,11,1,9,2,13,1,9,1,13,1,9,10,11,1,13,1,9,1,13,2,11,2,16,1,9,2,13,1,9,1,13,2,30,2,28,1,6,1,13,3,9,1,13,2,9,1,6,1,13,2,11,1,9,1,17,1,16,1,17,1,16,2,9,1,13,1,9,1,13,1,6,1,13,6,16,1,11,1,16,1,11,1,16,2,11,2,13,2,9,1,13,1,9,1,13,1,9,1,11,1,13,1,9,1,13,1,9,1,13,1,9,4,6,1,28,5,9,2,24,1,8,1,9,1,11,1,9,2,10,1,12,1,10,1,13,3,8,1,9,1,13,1,9,1,8,1,13,1,9,2,13,1,8,2,9,1,8,1,13,1,8,3,13,1,8,2,9,1,13,1,8,1,9,1,8,1,13,1,24,1,8,1,13,1,8,1,13,1,8,1,7,1,8,1,13,3,8,3,13,1,8,2,13,1,8,1,9,4,8,1,9,5,10,1,16,1,11,2,16,1,11,1,16,2,11,2,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,10,1,9,4,8,1,9,5,8,1,13,1,9,1,8,1,13,2,8,2,13,1,7,1,13,1,6,1,13,3,8,1,24,1,6,3,8,1,6,1,13,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,6,1,9,1,8,1,13,1,9,3,13,1,8,2,9,4,13,1,9,1,8,1,9,3,11,1,9,4,10,1,11,1,9,4,11,1,9,2,10,1,9,2,11,1,10,1,9,1,11,1,16,1,9,1,11,1,9,1,10,1,9,1,11,1,9,12,8,1,9,2,13,1,8,1,9,2,13,1,8,1,9,7,17,2,13,2,5,10,33,13,13,1,28,2,30,1,13,4,7,1,13,1,29,1,6,1,29,1,30,1,28,5,33,8,5,1,33,2,13,1,30,1,28,2,30,2,28,2,6,1,30,1,13,1,6,1,10,2,11,2,9,1,11,2,12,1,9,4,11,1,9,5,10,1,9,1,10,1,9,4,10,1,9,1,8,1,13,5,7,1,6,1,8,3,13,5,9,5,11,3,12,1,11,1,17,15,16,1,11,3,17,2,12,1,17,1,11,3,17,1,12,1,17,2,11,3,9,2,10,1,8,1,6,1,28,3,5,10,9,2,12,3,11,1,24,1,12,1,11,1,9,1,12,1,9,1,24,1,9,1,10,2,24,2,9,1,8,1,24,1,8,1,13,2,10,1,24,2,12,1,9,1,17,1,12,2,9,1,11,1,12,1,17,1,11,1,17,1,12,2,17,2,9,1,10,2,9,1,17,1,9,1,24,1,9,1,7,1,24,1,8,1,24,2,8,1,9,1,24,1,10,1,17,1,9,1,13,1,10,1,17,1,11,1,9,1,12,1,9,5,10,1,9,1,10,2,17,4,12,1,17,1,12,1,17,3,12,2,9,3,5,29,6,1,28,13,13,1,17,1,12,1,16,1,8,2,13,1,8,1,6,2,29,1,28,1,6,2,8,1,9,1,10,1,11,1,6,1,28,5,6,1,12,1,9,1,28,2,30,1,28,1,30,1,28,25,30,1,16,1,14,1,11,1,8,1,13,2,6,1,15,1,9,1,13,1,6,2,28,4,13,1,9,1,}, {28,2,6,1,10,1,13,1,9,1,6,2,29,1,30,1,13,1,8,1,14,1,6,1,28,34,29,1,28,3,6,1,8,2,24,1,10,2,17,2,13,2,28,1,30,2,29,2,9,1,24,1,9,1,30,1,6,1,7,1,6,1,8,2,13,2,30,1,8,1,12,2,8,1,6,1,28,1,29,2,8,1,9,1,17,1,10,1,12,1,17,2,12,1,10,1,8,2,12,1,17,1,9,1,17,2,11,1,16,1,14,1,15,1,9,1,29,1,28,7,29,1,28,1,30,1,28,1,30,1,28,13,8,1,13,1,8,1,10,1,15,1,12,1,6,2,29,1,28,1,29,1,6,2,8,1,12,1,17,2,9,1,16,1,11,1,9,3,10,1,9,1,12,2,9,1,10,1,17,2,9,1,30,1,28,13,6,1,11,1,17,1,11,1,17,1,16,3,11,1,9,1,16,1,17,1,16,1,9,1,11,1,17,1,12,1,17,1,8,2,13,1,6,1,13,1,8,2,9,1,8,1,7,1,24,2,7,1,13,1,8,2,6,1,8,1,6,1,7,2,29,2,6,1,29,2,6,1,29,1,6,1,30,1,28,3,29,1,28,1,30,1,28,27,29,1,7,2,8,2,12,1,17,15,11,1,17,1,9,1,10,1,9,1,24,1,7,1,6,1,29,1,6,1,13,1,29,1,13,1,7,1,13,1,9,1,17,1,11,1,17,10,11,1,24,2,10,1,24,1,12,1,8,1,10,1,9,1,24,1,8,1,12,1,24,1,10,1,24,1,12,1,9,1,24,2,10,1,8,1,24,1,8,1,7,1,13,1,6,2,29,1,8,1,29,1,6,1,28,1,30,1,29,1,28,29,30,2,28,6,30,1,28,1,6,1,28,1,30,1,28,3,30,2,28,1,29,1,28,68,30,2,28,1,30,1,29,1,7,1,6,1,30,1,6,1,29,2,6,1,29,1,6,1,13,1,29,2,28,1,29,1,30,1,29,1,30,1,29,1,6,2,28,1,29,1,30,1,6,1,28,1,30,2,28,2,29,2,28,1,29,1,30,1,7,1,29,1,6,1,30,2,29,1,28,2,6,1,30,1,28,1,29,1,30,1,28,1,30,1,29,5,6,2,7,1,13,2,8,1,6,1,7,1,8,1,6,1,7,2,8,1,6,1,7,1,8,3,13,1,8,1,13,1,8,2,24,1,13,1,24,1,13,2,7,1,13,1,6,1,24,1,30,1,29,1,6,1,13,1,7,1,8,2,13,2,7,1,13,1,24,1,7,1,13,2,8,1,12,1,10,2,24,1,10,1,9,1,10,2,11,1,12,2,24,1,17,1,9,1,10,1,24,1,8,1,24,4,13,2,8,1,13,1,7,1,29,1,8,1,7,1,24,1,29,1,8,2,6,1,13,1,24,1,7,1,13,1,8,1,24,1,13,1,24,3,8,1,24,2,12,2,9,1,12,1,24,1,12,3,9,1,12,1,9,1,10,1,12,2,9,1,12,1,10,1,24,2,10,1,24,1,9,2,8,2,10,1,12,1,24,1,9,1,12,1,24,2,9,1,8,1,13,1,8,1,24,2,8,3,9,1,24,2,12,2,9,1,8,1,12,1,10,1,9,1,17,1,11,1,12,1,10,1,11,2,17,1,12,1,17,1,7,1,30,1,28,1,30,2,28,16,30,1,28,2,30,1,28,1,30,2,28,29,13,1,30,1,6,1,7,1,6,1,8,1,13,2,24,1,10,1,9,1,10,1,17,2,11,1,9,1,12,2,17,1,12,2,17,1,11,1,8,2,9,1,11,1,16,2,11,1,16,1,11,1,9,1,11,2,9,2,10,1,16,1,11,1,9,2,11,1,9,1,10,1,13,1,11,2,13,1,11,1,13,1,9,1,8,1,11,1,10,1,9,3,11,3,9,1,10,1,9,1,11,1,9,1,16,1,9,1,11,2,9,3,11,1,9,5,10,1,11,1,13,1,11,2,9,4,10,2,9,3,11,1,9,2,11,1,16,1,9,1,10,1,9,1,11,1,9,4,11,1,16,1,9,2,11,1,8,1,11,1,9,2,11,2,9,1,8,2,11,1,9,5,13,1,9,2,8,1,13,1,8,1,9,1,13,2,9,1,13,3,8,2,9,4,13,1,9,1,13,1,9,1,13,2,8,1,13,2,8,1,9,1,13,4,6,1,13,3,7,1,8,1,13,1,8,1,9,7,13,2,11,1,9,2,8,1,9,2,6,1,9,1,13,1,8,1,9,1,13,1,9,2,13,1,8,2,9,2,8,1,13,1,9,1,8,1,9,2,8,1,9,1,13,1,11,1,13,1,9,2,8,1,13,1,8,1,9,1,13,1,9,2,13,1,8,1,9,1,13,5,9,1,8,1,13,2,8,1,9,2,8,1,13,1,8,1,13,12,9,4,13,1,8,1,13,2,8,1,9,1,13,1,9,1,13,1,9,1,8,2,13,4,9,1,8,1,9,1,13,2,6,1,7,1,9,1,13,3,10,2,9,2,11,2,10,1,16,1,9,2,16,1,9,1,8,1,9,1,11,2,9,5,13,4,11,1,6,1,13,1,33,51,5,370,28,1,11,1,9,1,7,1,6,1,7,2,6,1,29,3,30,2,13,1,6,2,13,1,7,4,6,1,7,1,13,1,7,1,13,1,7,1,13,1,7,1,13,2,7,2,13,1,8,1,13,7,8,1,13,1,8,2,13,1,9,2,8,1,9,2,13,1,9,3,8,2,13,1,8,2,6,1,8,1,13,1,9,1,13,1,8,1,13,2,8,1,13,2,8,2,13,1,8,1,13,5,9,2,13,3,8,1,13,2,8,1,13,1,8,3,9,6,13,1,8,1,9,10,11,1,10,1,11,3,9,2,11,3,9,1,11,1,12,1,9,1,6,1,7,1,28,13,17,2,9,1,10,1,9,2,10,1,9,1,8,1,9,1,8,1,7,1,6,1,29,2,30,4,28,4,29,1,30,2,28,1,29,2,28,1,30,1,6,1,29,1,28,1,7,1,13,2,8,1,9,2,16,1,9,1,16,1,17,15,16,1,17,1,16,2,9,1,17,1,16,1,17,1,16,2,17,4,14,2,16,3,11,1,13,1,6,1,13,2,6,2,8,1,13,5,9,2,13,1,9,3,11,1,9,1,13,1,9,5,13,1,9,1,13,1,9,1,13,7,9,3,13,4,9,3,13,1,9,6,13,3,8,1,13,1,11,3,9,2,13,1,9,1,13,2,9,1,8,1,13,1,8,1,13,6,6,2,13,3,9,2,16,4,17,1,16,1,13,1,9,1,6,2,13,6,9,4,16,1,9,1,13,1,9,1,11,1,9,1,13,1,11,1,13,3,6,1,13,2,6,1,13,3,9,3,30,1,28,5,13,1,11,2,9,1,12,1,9,6,11,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,8,3,9,1,8,1,9,4,13,1,8,1,13,1,9,1,8,1,9,1,13,2,8,1,9,1,8,2,24,1,8,1,13,2,8,1,13,1,8,1,13,4,8,1,13,1,7,1,8,1,13,1,7,1,9,1,8,1,13,1,8,1,9,5,10,2,9,1,16,7,11,1,16,1,11,1,10,1,11,4,9,2,10,1,9,3,11,1,9,2,11,1,9,1,8,1,11,1,8,1,9,4,8,2,6,1,7,2,13,1,7,1,8,1,13,1,7,1,13,2,7,1,6,1,13,2,7,1,13,1,6,1,7,1,8,1,7,2,13,1,9,1,13,1,9,2,8,1,9,1,8,2,9,2,8,3,11,1,9,1,8,1,13,1,9,2,8,1,9,1,10,1,13,1,9,4,8,1,9,2,11,1,9,1,11,1,9,2,13,1,16,1,9,2,11,2,9,5,10,1,9,2,11,2,9,1,11,1,9,3,11,1,10,2,9,3,8,2,13,1,9,2,11,1,8,1,13,1,8,2,13,2,8,1,13,2,8,2,9,1,13,1,9,5,10,2,17,2,11,1,33,1,5,13,33,11,28,1,30,1,28,1,6,2,13,1,6,2,28,2,30,2,6,2,33,1,13,1,33,13,5,1,6,3,28,1,30,1,28,3,30,1,29,1,8,1,9,2,11,1,9,2,10,1,9,2,11,1,9,1,11,1,9,1,11,2,9,1,8,1,10,2,8,1,9,1,10,2,9,1,10,2,13,1,8,1,13,1,6,1,7,1,13,2,7,1,13,1,7,1,13,3,8,1,13,1,9,1,33,3,13,4,9,1,17,16,16,1,17,8,12,1,17,3,12,1,17,4,11,3,9,1,10,1,9,2,13,1,30,1,6,1,30,1,33,1,5,9,13,1,11,2,10,1,11,1,9,1,8,1,11,1,10,1,9,1,12,1,8,1,17,1,24,1,8,1,13,1,24,2,8,1,24,1,9,1,8,2,24,1,13,1,9,1,10,1,9,1,12,1,11,1,10,1,11,1,17,1,11,1,10,1,17,1,11,1,17,1,9,1,12,1,9,1,10,1,17,1,9,1,17,1,10,1,24,1,8,1,17,1,24,1,13,1,8,2,24,2,8,1,9,3,8,1,9,1,10,1,9,1,11,1,10,2,8,4,9,3,11,1,12,1,17,2,11,1,10,1,17,3,12,2,11,1,17,2,12,2,13,1,33,1,5,28,30,1,28,13,7,1,9,1,11,1,9,1,24,1,8,1,13,1,8,1,6,1,29,1,6,1,29,1,6,1,8,1,13,1,9,1,11,1,17,1,30,1,28,5,6,1,17,1,8,1,30,1,28,29,29,1,14,1,17,1,11,1,8,1,13,3,12,1,9,1,13,1,8,1,6,1,30,1,28,3,13,1,9,1,}, {28,3,24,1,9,1,8,1,13,1,8,1,30,1,6,1,13,1,8,1,14,1,29,1,28,34,30,1,28,3,6,1,30,1,10,1,9,1,10,1,12,2,14,1,8,1,6,1,29,1,30,2,13,1,6,1,15,1,9,1,8,1,6,3,13,1,8,2,24,1,9,1,29,1,13,1,9,2,8,1,6,1,13,1,6,1,28,1,8,2,12,1,17,1,11,1,9,1,11,2,9,1,8,1,24,1,9,1,17,3,10,1,14,1,15,1,14,2,9,1,30,1,28,17,30,1,28,5,30,1,28,1,7,1,12,2,11,1,12,1,14,1,7,1,13,1,28,1,29,1,30,1,28,1,30,1,12,1,17,3,10,1,12,1,9,2,24,1,8,1,9,2,8,2,11,1,24,1,14,2,10,1,28,14,13,1,11,1,12,1,9,1,11,2,16,2,10,1,11,1,9,1,11,1,9,1,11,2,16,1,10,1,16,1,11,1,9,1,12,1,8,3,24,1,8,1,13,1,10,1,8,4,6,1,13,1,6,1,13,2,8,1,30,1,6,1,7,1,6,1,28,1,7,1,6,1,30,1,28,1,30,2,29,1,6,1,28,1,30,1,28,28,29,1,6,1,8,1,12,1,8,1,24,1,11,1,12,1,17,15,10,1,11,1,9,1,12,1,9,1,8,1,13,1,8,2,6,1,13,3,17,15,12,1,10,1,24,1,12,1,9,1,8,1,12,1,9,1,24,1,12,2,8,1,12,1,24,1,8,1,9,1,8,1,9,1,8,2,24,1,13,1,6,1,7,1,25,1,6,1,25,1,28,1,7,1,28,1,6,1,28,36,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,40,29,1,28,17,29,1,28,1,29,1,28,2,30,1,28,2,29,1,6,1,29,1,30,1,6,2,29,1,6,1,25,1,6,1,29,1,30,1,29,1,6,2,29,1,7,1,8,1,6,2,30,1,29,2,6,1,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,2,6,1,28,1,7,1,30,1,7,1,29,1,30,1,29,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,7,3,29,1,8,1,7,1,13,1,7,2,6,2,13,1,30,1,13,1,7,2,13,1,7,2,13,2,7,1,6,1,8,1,24,2,13,1,6,1,8,1,13,1,24,1,8,1,6,1,13,1,24,1,13,2,6,1,8,1,6,2,7,2,13,1,8,1,24,1,6,1,8,1,9,1,8,1,24,1,8,1,24,1,12,2,10,1,11,1,9,1,10,1,12,1,9,1,8,1,13,1,11,1,9,1,10,1,9,1,10,1,9,1,24,3,8,1,24,2,13,1,8,1,24,2,7,1,24,1,6,1,24,1,13,1,8,1,24,2,10,1,8,1,9,2,8,1,24,1,10,1,8,1,9,1,24,1,9,1,8,1,9,1,10,2,9,1,10,1,9,1,17,6,10,1,24,1,9,2,24,1,12,1,9,1,24,1,10,1,24,3,8,1,10,1,24,1,12,1,17,1,24,1,9,1,12,1,24,1,10,1,13,1,24,1,8,3,9,1,8,1,10,1,8,2,24,1,12,1,24,1,12,1,10,1,9,1,12,3,17,5,9,1,6,1,28,3,30,1,28,10,13,1,28,1,30,3,28,4,30,2,28,30,6,1,29,1,6,1,7,1,29,1,24,3,12,1,17,1,9,1,17,2,24,1,12,1,10,1,17,2,9,1,10,1,13,1,10,1,24,1,8,2,9,3,16,1,17,1,16,2,9,1,11,2,9,1,11,2,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,11,2,9,1,11,1,9,1,11,2,9,1,11,1,9,1,11,1,10,1,9,1,11,2,9,1,11,2,9,4,11,1,9,1,11,1,9,5,10,1,9,1,11,1,9,2,8,1,9,3,11,1,9,3,16,1,9,1,11,2,9,1,11,1,9,4,10,1,9,1,11,1,9,3,11,5,10,1,9,2,11,1,9,2,16,1,9,1,13,1,9,6,8,1,13,2,8,3,7,1,9,2,13,2,9,1,13,1,9,4,13,3,8,1,13,1,8,2,9,1,13,2,9,1,13,1,7,1,13,1,8,1,13,5,9,1,13,2,8,3,9,1,13,2,8,1,9,1,8,1,9,2,13,1,7,1,13,5,9,1,13,1,9,1,13,1,8,1,9,2,13,1,9,3,13,1,9,1,8,1,9,5,6,1,9,1,13,1,9,10,13,1,8,1,9,2,13,1,9,2,13,2,9,1,13,2,8,1,13,1,9,1,8,2,13,15,9,1,13,1,8,1,13,1,9,1,13,1,9,4,10,1,9,1,13,2,9,1,13,1,9,4,13,3,9,1,13,3,9,1,13,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,9,6,11,3,9,2,11,1,10,1,13,3,9,1,13,2,33,53,5,369,13,2,9,1,6,2,29,2,13,1,6,1,28,1,7,1,6,1,7,1,13,1,6,3,7,1,29,1,6,1,13,1,6,1,13,8,7,1,13,3,6,1,13,5,8,1,13,3,8,2,9,1,8,1,9,7,8,1,13,1,8,1,9,1,8,3,13,1,8,1,13,1,9,1,8,2,9,1,13,2,9,1,13,1,8,1,13,2,9,1,13,2,9,1,13,2,9,1,13,1,9,1,13,1,9,2,8,1,9,1,8,1,13,1,9,3,8,1,9,2,8,1,9,3,8,2,9,5,11,1,9,1,11,2,9,1,10,1,11,1,9,1,11,1,9,1,17,3,9,1,7,1,28,7,6,1,28,9,17,2,11,1,10,1,11,1,9,3,13,1,9,1,7,1,6,1,29,7,30,1,29,1,6,1,28,1,29,2,28,1,6,1,29,2,7,1,28,1,7,1,6,2,30,1,6,1,13,1,7,1,6,1,8,1,9,1,11,3,16,2,11,7,9,1,16,1,9,1,16,1,9,1,11,2,16,2,11,1,16,1,17,1,16,1,17,10,16,1,9,1,28,3,30,1,28,3,30,1,28,3,13,1,9,1,13,1,9,1,8,1,13,1,9,1,8,1,13,3,9,2,8,1,9,2,8,1,9,2,13,1,9,1,13,5,9,1,13,1,9,5,16,1,11,1,13,1,9,1,13,1,9,1,13,2,8,1,13,4,9,6,11,1,9,1,13,3,16,1,13,1,9,1,16,1,11,1,9,1,8,1,13,1,9,2,8,1,13,2,8,1,13,2,9,1,16,2,17,1,16,3,9,1,13,1,6,2,13,9,9,1,16,2,9,2,16,1,13,1,9,1,13,8,6,1,13,2,9,1,13,2,30,1,28,7,8,1,16,1,9,1,17,1,12,1,17,1,16,1,11,1,9,1,10,1,11,1,9,2,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,3,13,1,9,2,10,1,8,2,13,1,9,3,8,2,9,1,13,1,9,1,8,1,13,5,8,1,24,1,8,1,13,1,8,1,13,1,9,1,13,1,8,5,13,1,9,1,10,1,9,4,11,1,16,2,11,1,16,2,11,2,16,2,11,1,10,1,16,1,11,2,9,2,11,1,9,1,11,1,9,2,11,1,9,5,8,1,9,1,13,1,9,1,8,1,9,2,13,6,8,1,13,4,8,1,13,2,6,2,8,1,7,1,13,2,7,1,9,1,6,2,13,1,9,1,13,2,9,1,8,1,9,3,13,1,8,3,9,2,8,1,9,2,11,1,9,4,11,1,9,7,13,1,9,1,11,1,8,1,9,5,10,1,9,1,11,1,8,1,9,4,10,3,9,1,17,1,9,1,11,2,9,1,16,1,10,1,9,1,13,1,10,1,13,1,9,1,8,1,9,2,8,1,11,1,8,1,13,2,8,2,13,3,8,1,9,1,13,4,9,1,13,1,9,4,11,1,17,1,9,1,5,43,33,11,5,1,33,2,13,1,30,2,28,2,30,2,6,1,13,1,9,1,10,2,9,1,10,1,9,1,10,1,9,2,10,1,9,2,8,1,9,3,10,1,9,3,10,1,11,1,10,1,9,3,8,1,13,1,7,1,8,2,7,1,13,1,6,1,13,1,8,1,13,2,9,1,33,5,5,1,13,1,30,1,13,1,11,1,17,14,16,1,12,1,17,5,11,1,17,5,12,2,11,3,12,1,11,2,10,1,9,1,8,1,9,1,10,1,9,1,13,2,7,1,28,2,5,9,30,1,9,1,11,1,12,1,11,1,8,1,10,1,11,1,12,2,9,1,10,1,9,1,10,1,8,4,13,1,24,1,13,2,9,2,8,2,9,1,10,1,12,1,9,1,12,1,10,1,17,1,10,3,17,1,12,1,10,1,12,1,17,1,10,1,24,1,11,1,12,1,10,2,24,1,13,1,9,1,10,1,24,2,13,1,8,1,13,3,12,1,9,2,8,2,9,4,13,1,9,1,8,1,9,1,10,1,12,1,9,1,11,3,12,1,11,2,12,2,9,1,12,1,17,1,10,1,17,2,8,1,28,1,5,28,30,1,28,13,8,1,10,1,11,1,9,1,24,1,7,1,8,1,6,2,28,1,6,1,29,1,7,1,13,2,10,1,11,1,10,1,28,6,7,1,17,1,8,1,30,1,28,2,29,1,28,26,30,1,14,1,16,2,8,2,6,1,7,1,9,1,24,1,13,1,6,2,30,3,28,1,13,1,10,1,}, {28,3,24,1,9,1,24,1,8,1,28,1,6,2,30,1,6,1,15,1,6,1,29,1,28,34,30,1,28,2,6,1,13,1,8,3,10,1,17,1,14,1,24,1,6,1,30,2,28,2,6,1,8,1,12,1,6,2,13,1,6,2,8,2,24,1,13,2,6,1,12,1,10,1,8,1,13,1,29,1,7,1,28,1,8,1,24,1,12,2,8,1,16,2,8,1,16,1,13,1,8,1,12,1,17,1,12,1,17,1,10,1,14,1,15,1,11,1,14,1,8,1,30,1,28,5,30,1,28,2,30,1,28,4,30,1,28,6,30,1,28,3,13,1,6,1,13,1,9,1,10,1,14,2,8,1,6,1,30,1,6,1,30,1,13,1,7,1,8,1,16,1,17,2,16,1,9,2,13,1,24,2,8,1,9,1,8,2,12,1,8,1,9,3,6,1,30,1,28,12,9,1,11,1,16,1,9,1,16,1,9,1,16,1,11,2,16,1,9,1,10,1,11,1,10,1,11,4,17,1,11,1,9,1,12,1,9,1,24,1,8,1,24,1,6,1,10,1,13,1,10,1,13,1,10,1,7,1,8,1,29,1,7,1,6,1,7,1,8,1,29,1,30,1,6,1,28,1,6,1,7,1,30,1,29,1,30,1,13,1,28,1,30,1,28,1,30,1,28,26,30,1,28,1,7,1,13,2,24,2,12,1,24,1,12,1,10,1,12,1,17,15,12,1,17,1,10,1,9,1,12,1,24,1,8,1,13,2,10,1,12,1,17,18,12,1,11,1,12,1,8,2,24,1,9,1,24,2,8,1,24,1,13,1,10,1,8,1,10,1,24,1,8,1,13,1,24,1,13,1,6,1,8,1,24,1,6,1,29,1,6,1,28,1,30,1,29,1,28,35,30,1,28,2,30,1,28,2,30,2,28,4,6,1,28,2,30,1,28,3,30,1,28,53,30,2,28,1,30,1,28,2,30,2,29,1,6,1,30,1,8,1,7,2,8,1,29,2,6,2,8,1,29,2,6,1,30,1,29,1,6,4,29,2,30,1,29,1,28,1,29,1,30,1,28,1,29,1,28,1,29,1,30,1,28,4,29,1,28,1,29,1,6,1,30,1,6,2,28,1,30,1,28,1,30,1,29,1,30,1,28,1,6,1,29,1,28,1,30,1,6,1,7,1,6,1,29,1,7,1,30,1,29,1,13,1,6,1,8,1,7,1,29,1,7,1,6,1,7,1,24,1,6,2,13,2,7,2,13,2,24,1,8,1,6,1,8,2,13,1,8,1,6,1,30,1,6,2,30,1,7,1,6,2,13,1,7,1,13,2,8,1,7,1,24,2,10,1,8,1,24,1,13,1,8,1,9,2,8,1,9,1,10,2,12,1,24,1,12,1,9,1,17,3,8,1,9,1,12,1,9,1,11,1,9,4,8,1,9,1,8,1,24,1,9,1,8,1,9,1,24,2,9,1,24,1,9,1,13,1,8,1,9,1,24,1,8,1,9,1,8,1,12,1,13,1,17,1,9,1,8,1,9,1,10,1,8,1,12,1,9,1,11,1,10,1,11,1,17,1,11,1,12,1,9,2,24,1,12,1,11,2,12,1,10,1,12,1,9,1,12,2,9,1,8,1,12,2,8,1,9,3,24,1,17,1,24,1,12,1,9,2,10,1,24,1,9,2,10,1,12,1,13,1,12,2,17,1,24,1,9,1,12,2,10,1,9,1,10,1,11,1,12,1,11,1,12,1,17,3,7,1,28,2,29,1,28,12,30,4,28,2,30,1,28,34,29,1,7,1,13,1,7,1,8,1,6,1,8,1,9,1,24,1,12,1,24,1,9,1,17,1,12,2,9,1,12,1,9,2,10,1,9,2,17,1,9,2,11,1,16,2,17,1,11,1,16,1,11,2,9,1,11,1,9,1,11,5,9,7,11,1,9,6,13,1,11,1,9,4,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,13,1,10,1,9,3,11,2,9,5,11,1,13,1,9,3,13,2,9,1,11,1,8,1,9,5,13,2,9,2,11,1,9,4,11,1,9,3,10,1,11,1,9,2,11,2,9,1,11,1,9,2,11,1,8,1,9,3,13,1,9,1,13,2,9,2,13,3,9,1,8,1,9,1,8,1,13,2,9,1,13,1,9,1,13,2,9,1,8,1,13,4,9,1,13,2,8,1,13,1,6,1,9,1,13,1,8,1,6,1,9,1,13,2,9,1,13,1,9,2,13,1,9,1,8,2,9,1,13,1,9,2,8,1,9,1,6,1,13,4,9,1,13,2,9,1,13,2,9,2,13,1,8,1,9,1,13,3,9,1,13,1,9,3,8,1,9,6,13,1,9,2,8,2,9,1,8,2,9,1,13,2,8,1,10,1,9,3,13,1,8,1,13,2,9,1,6,1,13,3,9,1,13,3,9,1,13,1,9,1,8,2,13,2,8,1,13,1,8,1,13,3,9,1,8,1,9,1,13,2,8,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,11,1,9,5,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,11,1,9,1,11,1,9,1,16,2,9,1,11,1,9,5,11,1,9,1,11,2,10,2,11,1,13,2,9,3,33,54,5,369,33,1,13,2,7,1,6,2,13,1,30,1,6,5,7,2,29,2,7,1,29,2,6,1,13,1,7,1,13,3,24,1,8,1,13,8,8,1,13,3,9,2,8,3,13,1,11,1,9,1,10,1,11,1,9,1,11,2,9,4,13,1,9,1,13,1,9,2,13,2,9,2,8,4,13,1,8,1,13,3,9,2,8,1,13,1,9,1,13,1,8,2,13,2,8,1,9,1,8,1,9,1,8,1,9,8,8,1,9,3,11,1,10,1,9,1,8,1,11,3,9,1,11,1,17,1,11,1,9,1,11,1,17,3,13,1,6,1,28,2,29,1,28,17,13,1,17,2,10,2,9,3,13,1,9,1,13,1,7,1,30,1,6,1,30,1,29,1,30,1,28,1,29,1,30,2,29,3,28,1,6,1,30,1,29,1,6,3,7,1,6,5,13,1,8,1,13,1,8,1,11,1,10,1,11,1,9,1,11,1,9,1,11,2,9,1,11,3,17,1,11,1,16,1,11,1,16,1,11,1,16,1,9,1,16,4,17,1,11,2,16,1,11,1,16,1,10,1,16,1,17,6,29,1,28,4,7,1,30,2,28,2,30,1,6,1,9,1,13,2,8,1,13,2,9,1,13,1,9,1,13,2,9,2,13,1,8,1,13,7,9,1,13,3,9,1,13,2,6,1,13,4,9,3,13,1,9,1,8,1,13,4,9,3,11,1,13,1,9,3,16,1,9,7,11,1,9,3,11,1,9,1,11,1,9,1,13,5,9,1,16,2,17,2,16,1,9,2,13,3,30,1,13,3,6,1,13,2,9,1,13,2,16,1,11,1,9,3,6,1,13,1,6,1,13,7,6,1,13,1,9,2,13,1,6,1,28,10,29,1,8,1,11,1,17,4,11,1,16,1,12,1,9,1,17,1,11,1,8,1,13,1,9,8,13,2,8,1,9,4,8,2,13,1,9,1,8,1,13,2,8,3,7,1,13,3,7,1,13,1,8,1,13,1,8,2,13,2,8,4,9,4,10,1,11,1,16,1,11,1,16,2,11,1,16,1,9,1,16,1,11,5,9,2,11,1,9,1,11,1,9,1,10,1,11,1,9,2,11,1,9,1,10,1,9,3,8,1,13,1,9,2,13,1,9,1,13,1,8,1,13,1,7,4,13,1,7,1,8,1,6,1,13,1,7,2,13,1,8,1,7,1,8,1,13,2,9,1,8,2,13,2,8,1,9,1,8,1,9,1,8,3,9,1,8,2,9,1,13,1,9,1,8,1,9,2,8,1,9,2,11,1,9,2,8,1,9,1,8,1,9,1,8,1,13,1,8,3,9,1,8,1,9,1,11,1,10,2,9,1,11,1,9,2,11,1,9,1,11,1,9,1,10,1,9,1,11,1,10,1,11,1,9,1,17,1,9,1,11,1,16,1,11,1,9,2,8,1,13,2,9,1,8,1,9,1,8,1,9,1,8,2,13,2,8,2,13,1,8,1,13,1,9,2,13,2,8,1,13,1,8,1,9,1,8,1,9,3,11,1,17,1,11,1,33,1,5,48,33,8,13,1,6,1,30,1,28,1,30,1,28,1,30,1,13,2,9,1,10,2,9,4,10,3,11,1,9,2,12,1,10,1,9,3,11,1,10,4,11,1,9,1,8,2,13,1,8,1,13,3,7,1,8,1,13,1,7,1,13,1,5,1,33,1,5,1,33,6,13,2,9,1,17,1,16,1,17,16,11,1,17,2,12,1,11,1,17,3,12,1,17,1,11,1,10,1,12,1,11,1,17,1,11,1,9,3,8,1,13,2,30,1,6,1,30,1,28,2,5,10,28,1,6,1,8,1,17,1,9,1,10,3,9,1,11,1,12,4,24,4,8,1,9,1,8,2,13,1,8,1,9,2,24,2,9,1,10,2,12,1,17,1,12,1,17,1,12,1,17,2,24,1,17,2,24,1,12,1,8,1,10,1,24,1,10,2,24,1,8,1,13,1,9,1,8,1,7,1,8,3,24,1,13,1,9,1,17,1,10,1,9,2,10,2,9,1,10,1,13,1,12,1,9,1,10,1,9,1,10,1,17,1,12,2,11,1,24,1,12,1,10,1,9,1,12,1,11,1,17,2,10,1,11,1,30,1,28,1,5,27,30,1,28,13,8,1,17,2,16,1,11,1,8,2,30,1,6,1,30,1,6,2,13,1,7,1,13,1,8,1,11,1,8,1,28,6,6,1,17,1,10,1,6,1,28,30,14,1,16,1,11,1,13,1,6,1,28,1,7,1,17,1,24,1,13,1,6,1,30,1,28,4,29,1,13,1,}, {28,3,9,1,15,1,11,1,8,1,13,1,30,1,29,1,6,2,17,1,7,1,30,1,28,34,29,2,30,2,6,1,8,1,13,2,24,1,17,1,14,1,8,1,29,1,30,1,28,1,29,1,28,1,29,1,8,1,14,1,13,1,8,1,30,1,7,1,6,1,8,2,24,1,8,1,7,1,6,1,10,1,15,1,7,1,6,1,29,1,30,1,29,1,6,1,9,1,16,2,9,2,11,1,10,2,8,1,9,1,17,1,16,1,17,1,11,1,17,1,16,1,15,2,14,1,9,1,6,1,28,9,30,1,28,5,30,1,28,9,29,1,8,1,9,1,13,1,14,1,15,1,13,2,29,2,13,2,6,1,8,1,17,1,14,1,12,1,11,1,8,1,13,2,24,1,8,1,24,2,9,1,13,1,8,2,24,1,12,1,9,1,6,1,28,1,30,1,28,8,30,1,28,2,6,1,9,1,17,1,16,1,11,1,16,1,17,1,16,2,9,1,16,1,9,1,16,1,13,1,11,2,9,1,16,1,10,1,17,1,8,1,13,1,12,1,24,1,13,1,8,1,24,2,8,2,10,2,7,1,8,1,29,1,8,1,13,1,6,2,13,1,29,1,7,1,13,1,29,1,28,1,29,1,6,1,30,1,28,1,29,2,28,7,29,1,28,13,30,1,28,1,30,3,28,1,30,1,29,1,13,1,6,1,24,1,8,2,12,1,24,1,12,1,24,1,12,1,17,1,12,1,17,16,9,1,24,3,9,1,11,1,17,22,11,1,9,1,8,2,9,1,10,1,8,1,24,1,8,1,13,1,9,1,8,1,12,1,24,2,8,1,24,2,13,1,8,1,25,2,6,1,8,1,29,1,6,1,29,2,28,1,6,1,28,2,30,1,28,33,29,1,28,1,30,1,28,3,29,1,30,1,6,1,28,64,29,1,28,2,6,1,28,2,29,1,6,1,25,1,30,1,6,1,28,1,6,1,7,2,29,1,7,1,29,2,6,2,30,1,6,2,28,1,6,1,28,1,6,1,30,2,28,1,7,1,28,1,29,2,30,4,28,1,6,1,28,1,29,1,28,4,29,1,30,2,29,1,30,3,6,1,30,1,28,2,6,1,28,1,30,1,7,1,6,3,8,2,13,2,6,1,7,1,6,1,24,1,7,1,6,1,13,1,8,2,29,1,13,1,7,2,6,1,7,2,8,1,24,1,13,1,8,1,13,3,6,1,29,1,7,1,13,2,29,2,7,2,6,2,24,1,8,1,24,1,6,1,13,3,7,1,12,1,24,2,8,1,13,1,9,1,8,1,17,2,10,1,11,1,17,1,12,1,17,1,9,1,12,1,9,1,8,1,12,1,10,2,8,1,11,1,8,1,9,1,24,1,11,1,10,1,9,1,24,3,8,1,24,1,12,1,24,1,12,2,24,2,10,2,12,3,24,1,10,1,11,1,12,1,17,1,10,1,11,1,17,1,12,2,17,1,11,1,10,1,11,2,12,1,11,1,12,3,10,1,17,1,9,2,10,1,12,1,24,1,9,1,8,1,12,1,10,1,24,1,11,1,9,1,24,1,17,1,12,2,11,1,9,2,10,1,24,1,10,1,12,1,9,1,12,1,10,1,12,1,9,1,10,1,12,2,17,1,24,1,12,1,17,1,12,1,9,1,17,4,28,2,30,1,28,13,30,1,29,1,30,1,29,1,28,3,6,1,30,1,28,32,29,1,13,1,7,2,8,1,9,1,13,1,9,1,10,1,12,2,17,1,9,1,17,1,12,1,9,1,12,1,17,1,12,1,10,2,8,1,9,3,16,1,17,1,11,1,16,3,17,1,11,1,9,1,11,1,9,1,10,1,11,1,16,1,11,1,9,1,8,1,11,1,8,1,13,1,9,2,11,1,9,3,8,1,9,2,13,1,16,1,9,2,16,1,11,1,9,2,11,2,16,1,9,12,11,2,9,2,11,1,9,4,13,1,11,1,10,1,9,1,13,1,9,1,10,1,9,1,10,1,9,1,11,3,8,1,11,1,9,1,11,1,9,1,11,1,9,3,10,1,11,1,9,1,11,1,13,2,9,2,11,1,10,1,16,1,9,2,11,1,9,1,13,1,9,1,8,1,9,1,13,1,9,2,13,1,9,1,8,1,13,1,8,1,9,1,6,1,11,1,13,2,8,1,13,1,9,1,13,1,8,2,13,1,8,1,13,2,8,1,13,1,8,1,13,2,9,1,8,1,13,5,9,2,13,3,9,2,13,1,9,1,8,1,9,1,8,1,9,3,13,2,9,1,13,1,8,2,13,1,8,5,13,1,8,1,13,1,9,1,8,1,9,4,13,1,8,2,13,1,9,1,13,1,9,1,13,1,9,3,10,1,13,1,8,2,9,2,13,1,8,2,9,2,13,1,9,1,13,2,9,1,13,1,9,1,8,1,9,1,13,2,9,1,13,5,9,1,13,3,9,1,13,2,9,2,13,2,9,2,13,1,9,4,8,2,13,1,6,1,13,3,9,4,13,1,8,1,9,1,11,1,9,5,13,3,9,4,16,1,9,1,16,1,11,1,16,3,11,1,9,1,11,1,10,2,16,1,9,7,7,1,9,2,13,1,33,54,5,371,13,1,30,1,13,2,7,1,30,1,6,1,7,1,6,3,13,1,6,1,13,1,6,5,13,1,7,1,13,3,8,1,13,6,6,1,8,1,13,1,8,1,13,1,8,3,9,1,8,2,10,1,9,1,8,1,9,7,8,1,9,5,8,1,9,5,8,2,9,1,13,3,8,2,9,2,8,1,13,2,9,5,8,1,9,1,8,1,9,13,11,1,9,1,10,1,9,1,11,3,9,1,17,1,12,1,11,2,17,2,11,1,13,1,30,3,6,1,29,1,28,9,6,1,28,10,11,1,17,2,9,1,8,1,9,1,13,1,8,1,13,2,6,2,7,1,29,1,30,1,29,2,28,2,29,1,30,3,6,1,30,1,28,2,29,1,6,2,29,1,13,1,6,1,7,1,6,2,7,1,13,1,9,1,8,1,11,2,10,1,9,1,10,1,11,3,9,1,11,4,16,1,11,1,16,1,11,1,10,1,11,1,9,1,16,1,9,1,11,1,10,1,11,1,16,1,11,1,9,2,11,3,16,1,9,2,11,2,17,2,10,1,30,1,28,2,30,2,6,1,28,3,30,1,6,1,13,1,9,1,13,3,7,1,8,1,9,1,8,1,9,3,13,1,9,1,13,1,9,2,13,11,30,1,13,11,9,2,13,2,9,7,13,1,11,2,13,3,9,1,8,1,13,2,9,2,11,1,9,2,13,1,6,1,13,4,9,1,16,1,11,1,16,1,17,1,16,3,9,2,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,4,9,1,16,1,9,1,11,1,9,2,13,6,6,1,13,1,6,1,9,1,13,1,9,1,13,1,9,1,13,1,28,14,7,1,13,1,8,1,11,2,17,1,16,1,11,2,17,1,9,1,13,1,9,2,13,1,9,2,11,1,9,3,8,1,13,1,9,1,8,2,13,1,8,1,9,2,8,1,9,1,8,2,13,4,8,1,24,1,8,2,13,1,9,1,13,1,9,2,8,1,9,1,8,1,9,4,11,5,16,6,11,3,16,1,11,3,9,2,10,1,9,3,11,1,10,1,11,2,9,4,11,1,9,1,8,1,13,1,9,1,13,2,8,1,13,1,8,1,13,2,7,1,13,2,7,1,13,3,8,1,6,1,13,1,6,1,13,3,8,1,9,1,8,2,9,1,13,3,8,4,13,1,8,1,9,3,8,1,9,1,13,1,9,3,13,1,9,1,8,1,9,4,13,1,8,2,9,5,11,3,9,2,10,1,9,1,10,1,11,1,9,2,11,1,8,1,10,1,11,1,10,1,9,2,10,1,11,2,8,1,9,1,8,1,9,2,13,1,8,1,9,1,8,2,9,1,8,1,13,2,7,1,13,9,9,1,8,1,9,1,13,1,9,4,11,3,17,1,13,2,5,52,33,5,6,1,28,1,30,1,28,1,30,1,28,1,13,2,9,1,11,1,10,1,9,2,11,1,9,1,10,1,9,1,11,2,9,1,10,3,11,1,9,1,11,1,9,2,10,2,9,1,12,1,10,1,9,2,13,2,8,1,13,5,28,1,33,2,5,4,33,4,13,2,11,2,17,15,11,2,12,1,11,1,12,1,17,2,11,2,17,1,11,2,9,1,10,1,11,2,10,1,11,1,8,1,7,1,6,3,28,1,7,1,30,1,28,1,13,1,5,10,33,1,28,3,13,1,12,1,9,1,10,1,11,1,10,2,17,1,12,2,9,1,10,2,24,1,13,1,8,1,24,1,8,1,13,1,12,1,8,1,24,1,12,1,24,1,13,1,9,2,12,1,10,1,17,1,12,1,17,1,12,2,17,1,11,1,10,1,9,1,24,1,8,1,12,1,8,1,10,1,8,2,12,1,13,3,24,1,13,1,24,2,9,1,10,1,8,1,9,1,10,1,9,1,10,1,9,4,8,2,9,2,10,1,11,2,12,1,11,1,10,1,9,1,12,1,9,1,10,1,9,1,10,1,12,1,11,1,17,1,11,1,13,1,28,1,33,1,5,26,28,13,30,1,9,1,14,1,16,1,10,1,8,3,30,1,29,1,30,1,6,3,13,1,7,1,9,1,11,1,9,1,28,6,13,1,11,1,8,1,6,1,28,3,30,1,28,25,6,1,14,1,17,1,9,1,13,1,28,2,8,1,12,1,9,1,6,1,13,1,28,5,6,1,8,1,}, {30,1,28,1,30,1,24,1,11,1,9,1,6,1,7,1,30,2,29,1,13,1,15,1,6,1,30,1,28,33,29,1,28,1,30,2,6,1,29,1,7,1,8,1,24,1,8,1,11,1,14,1,24,1,7,1,30,1,28,3,30,1,8,1,17,1,8,1,13,1,6,1,8,1,13,1,7,1,24,1,8,1,13,1,8,1,30,1,15,1,10,1,29,1,6,1,30,1,6,2,7,1,9,2,24,1,9,1,11,1,12,1,9,1,10,1,13,1,9,1,12,1,16,1,12,1,11,2,15,1,11,1,15,1,14,1,9,1,30,2,28,2,30,1,28,4,30,2,28,15,6,1,8,2,9,1,14,2,13,1,30,3,7,1,6,3,10,1,12,1,15,1,9,1,13,1,8,1,13,2,8,2,24,1,8,1,13,1,9,1,10,1,11,1,14,1,11,1,13,1,30,1,28,12,9,1,8,1,11,1,12,1,11,1,17,1,16,2,9,2,11,1,9,1,11,1,8,1,9,2,11,1,17,1,16,1,17,1,12,1,9,3,24,1,9,1,13,1,9,2,6,1,24,1,13,1,8,1,9,1,6,2,8,1,7,2,24,2,7,1,6,2,29,1,7,1,6,1,30,2,28,2,30,1,28,2,30,1,28,16,29,4,7,1,8,1,7,1,6,1,7,1,6,1,13,1,8,1,24,1,9,1,24,2,10,1,24,1,9,1,24,1,12,1,17,1,10,1,17,43,12,1,24,1,8,1,24,1,10,1,8,1,24,1,8,1,10,1,8,1,9,3,24,1,8,1,24,3,6,1,25,1,6,1,26,1,25,2,27,1,29,1,30,1,29,2,28,48,30,1,28,38,30,1,28,6,30,1,28,10,30,1,28,3,29,1,30,1,28,1,30,1,29,1,30,1,29,2,7,1,30,1,29,1,13,1,6,1,29,1,30,1,29,1,6,1,13,1,6,1,29,1,6,1,29,1,6,2,28,1,29,3,30,1,29,1,7,1,8,1,28,4,30,1,28,3,29,1,6,1,13,1,28,1,7,1,28,1,30,1,28,1,30,1,29,1,30,3,6,1,29,1,28,1,30,2,29,1,30,2,6,1,29,1,7,1,13,1,8,2,6,1,13,1,29,1,24,1,13,2,8,2,6,2,8,1,6,1,8,1,6,2,7,1,13,1,8,1,7,1,13,1,24,1,7,1,6,1,29,1,6,1,29,1,6,2,8,1,13,1,6,1,13,1,7,1,6,2,8,1,6,1,13,1,8,1,7,1,8,2,7,1,13,1,24,2,9,1,8,3,12,1,9,4,17,4,11,1,10,1,11,2,12,1,9,1,12,1,9,3,10,1,17,1,9,1,13,1,10,1,9,1,24,1,10,1,9,1,12,1,8,1,9,1,10,1,12,1,10,1,9,1,10,1,12,1,11,1,17,1,12,3,10,1,12,2,17,1,9,1,11,2,12,1,9,1,11,1,9,1,16,1,12,1,24,1,17,1,12,1,10,1,17,1,9,1,10,2,8,1,9,1,24,1,12,1,24,1,12,1,10,1,9,1,12,3,9,1,17,1,9,1,8,1,24,1,17,1,10,1,24,1,9,2,10,2,17,1,24,2,17,1,12,1,10,1,11,1,10,1,12,1,17,1,11,2,17,3,6,1,28,2,30,1,28,1,30,1,28,10,30,1,6,1,29,1,28,3,6,1,28,1,30,1,28,31,30,1,29,1,30,1,6,1,7,1,24,1,8,1,9,1,8,1,24,1,10,1,12,1,24,1,11,1,17,1,10,1,12,2,9,1,17,1,9,2,17,1,12,1,13,1,9,1,11,1,16,2,11,2,16,2,11,2,9,3,11,3,9,1,10,1,9,1,11,2,8,1,11,1,9,4,8,1,9,2,8,1,9,1,11,1,9,2,11,1,9,4,11,1,9,2,11,2,9,2,11,1,13,2,8,1,9,3,11,1,8,1,11,1,10,1,9,5,13,2,8,1,9,2,11,1,9,1,11,2,9,1,11,1,9,2,11,1,9,3,13,1,9,1,11,1,13,1,9,1,10,1,9,1,16,1,9,2,11,2,9,1,10,2,9,8,11,1,9,6,13,1,9,1,8,1,13,1,9,2,13,2,9,1,29,1,13,1,9,1,13,3,9,1,13,1,9,1,13,1,8,1,13,2,8,1,13,1,9,2,13,1,8,1,9,1,13,1,9,1,13,1,9,2,13,2,9,2,11,1,9,1,8,1,9,2,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,13,2,9,1,8,3,9,1,8,1,13,1,9,1,13,1,9,1,6,1,9,1,13,1,8,1,9,2,8,1,13,2,9,1,8,1,13,2,8,1,13,2,9,1,13,2,8,2,13,1,8,1,13,2,9,1,13,2,9,1,13,1,9,1,13,5,6,1,9,1,13,2,8,1,13,1,9,5,13,1,9,3,8,1,13,1,9,1,13,2,9,3,13,1,9,2,13,1,8,1,13,1,9,1,13,1,9,2,10,1,11,3,9,2,13,1,9,1,13,1,9,2,11,1,9,2,16,2,9,1,11,4,9,3,11,1,9,7,6,1,9,1,13,1,9,1,13,1,33,54,5,371,33,1,28,1,30,1,13,1,7,1,6,2,13,1,29,3,7,1,6,1,29,2,7,1,30,1,13,1,7,1,13,6,8,1,13,9,8,3,9,1,8,2,9,1,8,1,9,4,8,1,10,1,9,4,10,1,9,1,13,1,9,1,8,1,9,2,8,1,9,3,11,1,9,1,11,1,9,10,8,1,9,1,8,1,9,2,8,1,9,3,10,1,9,2,11,2,9,1,11,1,9,2,11,1,10,1,11,1,10,2,9,1,11,4,12,1,17,3,12,1,13,1,28,2,7,1,6,1,28,2,30,1,28,3,30,3,28,1,30,4,28,3,30,1,28,3,30,1,28,2,13,1,17,2,9,6,13,1,6,2,29,1,30,2,29,1,30,3,29,1,28,1,6,1,28,1,30,5,6,2,7,1,6,1,7,1,30,1,13,2,8,1,6,2,9,2,16,1,11,2,8,1,9,1,10,1,11,2,16,2,11,3,16,1,11,2,16,1,11,1,16,1,11,2,9,1,16,1,11,1,16,1,11,1,10,2,11,1,16,1,9,2,11,2,17,1,11,1,17,3,9,1,30,1,28,4,30,1,6,1,30,2,13,4,9,4,13,2,9,2,13,1,9,1,13,8,6,2,13,1,6,1,13,2,6,2,13,1,30,1,9,3,13,2,9,1,13,2,9,3,13,3,9,1,13,1,11,1,13,1,11,1,13,1,16,2,9,1,11,1,13,1,9,1,13,3,8,1,30,1,8,1,9,2,10,1,13,4,6,1,13,1,11,1,9,2,16,1,17,1,16,2,9,1,16,1,9,2,28,1,13,6,6,1,13,4,11,1,16,1,9,3,13,4,6,1,13,3,28,1,6,2,13,1,9,2,13,1,28,25,13,1,5,1,33,4,5,1,9,2,13,1,9,2,13,1,9,1,13,1,8,3,13,1,9,1,8,1,9,1,13,1,8,1,13,3,8,1,13,2,8,1,9,1,8,2,9,1,8,1,9,5,10,1,11,3,16,1,11,1,16,1,11,2,16,2,11,2,9,1,16,1,11,6,9,1,11,1,9,4,11,1,9,7,13,1,9,1,8,4,13,1,8,2,13,1,7,2,13,1,7,1,6,2,13,3,6,1,13,2,7,1,8,1,13,2,8,1,13,1,8,1,9,1,13,1,9,2,8,4,9,1,13,2,9,1,8,1,9,2,13,1,9,2,13,1,8,1,11,1,9,4,13,1,9,2,11,1,9,1,8,1,9,4,10,1,11,1,9,5,11,1,9,1,11,1,9,3,11,3,16,1,11,1,9,4,8,1,9,1,8,1,9,1,16,1,9,2,13,2,6,1,9,1,8,1,13,2,8,1,13,2,8,1,13,4,8,3,9,2,13,1,9,5,17,1,6,1,33,1,5,52,33,5,13,1,30,1,28,1,30,1,28,1,30,1,13,1,9,4,8,1,9,1,11,1,9,1,11,1,10,1,11,1,8,1,9,1,10,1,9,3,11,1,9,2,11,1,9,5,8,1,9,1,8,1,9,2,13,5,33,2,5,6,33,4,13,1,9,1,16,1,17,1,16,1,17,12,11,1,17,1,11,2,17,3,11,1,12,1,11,2,9,1,11,2,9,1,8,1,13,1,8,1,9,1,30,1,6,3,30,2,28,2,5,13,28,3,9,1,17,1,9,1,24,1,9,1,10,2,17,1,10,1,12,1,17,1,24,1,9,1,24,1,11,1,24,1,13,1,8,1,9,2,24,3,10,1,8,1,24,1,12,1,10,1,9,1,11,1,17,1,12,5,9,1,12,1,24,1,8,1,13,1,9,1,12,1,9,1,24,1,12,1,10,1,24,1,8,1,13,1,9,2,11,1,9,1,24,1,17,1,9,1,12,1,10,1,24,1,9,1,8,1,9,2,10,1,8,1,9,2,12,1,11,2,10,1,13,1,9,1,11,1,9,1,11,1,12,3,11,1,17,2,12,1,30,1,13,1,5,26,28,13,6,1,15,1,16,1,9,1,10,1,7,1,8,1,7,3,30,1,6,2,13,1,24,1,13,1,12,1,9,1,8,1,28,6,13,1,17,1,24,1,6,1,30,1,28,2,30,1,28,25,8,1,14,1,17,1,10,1,6,1,13,1,6,1,7,1,12,1,8,2,6,1,28,3,30,1,6,1,9,1,24,1,}, {28,1,30,2,24,1,10,1,12,1,8,1,29,2,6,1,30,1,7,1,9,1,13,1,28,36,29,1,28,2,30,1,13,1,8,1,13,1,24,1,9,1,14,1,9,1,30,1,28,4,30,1,8,1,17,1,24,1,13,3,6,1,13,2,8,2,6,2,10,1,9,1,6,2,29,1,6,2,8,1,10,1,11,1,10,1,24,1,15,1,10,3,9,1,8,1,12,1,17,2,9,1,17,1,8,1,9,1,15,1,14,2,29,1,28,11,30,1,28,2,30,1,28,9,30,1,6,1,8,1,13,1,9,2,17,1,13,1,6,1,28,1,30,1,6,3,9,1,16,2,9,1,8,1,24,1,13,2,7,1,13,1,9,1,8,2,24,1,9,1,16,1,14,1,16,2,13,1,30,2,28,10,13,1,8,1,9,1,11,1,16,3,11,1,16,1,11,4,10,1,8,1,9,1,11,1,9,1,11,1,9,1,16,3,9,1,17,1,11,2,13,1,9,2,7,1,24,3,7,1,13,1,8,1,13,1,7,1,8,1,13,1,6,1,8,1,6,2,8,1,13,1,29,1,13,1,7,1,28,21,30,1,7,1,6,1,13,2,8,1,13,1,7,1,6,1,8,4,24,2,9,2,10,1,24,1,12,1,10,1,17,1,12,2,17,1,12,1,17,40,12,3,10,1,24,2,10,2,24,6,8,1,24,2,9,1,8,2,7,1,8,1,29,1,28,1,29,1,28,1,6,1,27,1,29,1,6,1,28,2,30,1,28,1,30,1,28,38,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,39,30,1,28,6,29,1,28,3,30,1,29,1,28,3,29,1,28,4,29,1,28,3,26,1,30,1,7,1,6,2,30,1,7,1,29,1,7,1,29,1,30,2,6,1,28,1,7,1,6,2,29,3,6,1,13,1,6,2,29,1,6,1,29,1,6,1,30,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,29,1,6,1,30,2,29,2,28,1,30,2,28,1,6,2,28,1,29,2,6,2,30,1,13,1,29,1,13,1,7,1,6,1,13,1,8,2,6,1,8,1,13,1,6,1,13,1,6,1,13,3,6,1,13,1,8,2,30,1,24,1,13,2,29,1,8,1,6,1,7,1,28,1,7,1,28,1,6,3,13,1,6,1,13,2,6,2,13,1,7,2,13,1,7,2,8,1,7,1,13,1,24,1,8,2,24,1,8,1,10,1,9,2,10,2,13,2,12,1,17,5,12,1,17,1,10,1,12,1,24,1,10,1,11,1,9,1,10,2,11,1,9,2,24,1,9,2,10,1,9,1,12,1,10,3,12,1,9,1,17,1,10,1,17,1,12,2,17,1,12,1,17,1,12,1,10,1,17,2,12,2,11,1,12,2,9,2,8,1,17,1,24,1,17,1,9,1,17,1,9,1,10,1,12,1,17,1,8,1,9,1,10,1,17,1,9,1,24,1,12,1,9,1,17,1,24,1,12,2,8,1,10,1,9,1,10,1,11,1,9,1,10,1,17,1,9,2,17,1,10,1,9,1,12,2,17,1,10,1,17,1,11,1,12,1,17,3,16,1,29,1,28,1,30,1,28,3,30,1,28,9,30,1,29,2,28,1,30,1,28,1,29,1,28,33,30,1,29,1,7,2,13,1,8,1,13,1,8,1,10,1,24,1,12,3,9,1,10,1,17,1,11,2,12,1,11,2,12,1,11,1,8,1,9,1,11,2,16,1,17,1,16,3,11,1,16,1,10,1,11,1,9,1,11,5,13,1,9,1,13,2,9,5,13,1,9,1,13,1,9,1,11,2,9,2,11,1,9,1,11,1,9,1,10,1,9,1,10,1,9,4,11,1,9,2,10,1,16,1,9,2,16,1,9,5,16,1,9,2,11,3,13,1,9,7,10,1,9,3,11,1,10,1,9,4,11,1,9,1,11,1,9,1,10,1,9,4,13,1,11,1,9,3,11,1,9,5,11,1,9,2,16,1,9,1,13,1,9,5,13,3,9,1,13,1,8,1,9,2,13,1,10,1,9,1,13,6,8,1,13,2,7,1,13,3,9,1,13,1,9,2,13,2,9,1,13,1,9,6,13,2,9,2,13,1,8,1,13,1,9,1,13,3,6,1,13,3,8,1,13,1,9,1,13,1,11,1,13,2,9,1,13,1,9,1,8,1,9,4,13,3,9,1,8,1,9,1,13,2,8,1,13,4,8,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,13,2,8,1,13,1,9,1,13,1,9,1,6,1,9,3,13,6,8,1,13,4,9,1,13,2,9,3,8,1,13,1,9,2,13,1,9,1,13,2,10,1,13,1,9,1,13,1,9,1,11,1,13,1,9,2,8,1,9,2,11,1,9,1,11,1,13,1,9,5,11,5,9,1,11,3,9,1,11,2,9,1,11,3,10,1,11,1,9,2,13,2,6,1,9,1,33,55,5,373,30,2,13,2,6,4,30,1,6,3,29,1,7,3,13,1,8,1,13,5,8,2,13,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,9,3,10,1,9,4,8,1,11,1,9,6,11,1,9,2,11,1,9,4,11,1,9,1,10,1,8,1,11,1,9,3,8,1,9,3,8,1,10,2,9,6,11,1,8,1,9,1,10,1,9,1,11,3,9,1,11,1,10,1,11,1,16,1,11,4,16,1,11,1,17,4,10,1,6,1,28,1,30,1,29,2,28,4,30,1,29,1,28,1,30,1,28,3,30,4,28,6,30,3,28,3,13,1,17,2,9,1,8,1,9,2,8,1,13,2,6,2,29,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,29,2,30,1,28,1,29,2,30,1,29,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,9,1,8,1,9,1,8,1,9,3,11,1,9,2,11,3,10,1,11,1,16,1,11,2,16,1,11,2,16,1,11,1,9,1,16,1,9,1,16,2,11,3,9,1,11,2,9,1,8,1,10,1,11,1,17,1,11,2,10,1,11,1,16,1,11,1,28,5,29,1,6,1,13,1,8,2,13,2,30,1,13,2,9,2,11,1,9,1,8,1,9,1,13,1,6,1,13,1,6,1,13,1,6,2,13,2,7,1,13,2,6,1,13,3,6,1,13,1,30,1,13,7,9,2,13,1,9,1,13,1,9,1,13,1,11,1,13,1,8,1,13,1,9,2,8,1,11,1,13,1,9,1,30,1,13,1,7,1,13,1,6,2,29,1,13,1,30,1,13,1,30,1,13,1,6,2,13,2,9,1,6,1,13,1,11,1,16,1,11,1,16,1,17,1,16,2,9,1,16,1,13,2,6,1,13,10,9,4,13,2,9,1,13,5,6,1,13,2,9,1,13,1,9,1,13,1,9,1,28,23,5,6,33,7,5,1,9,1,13,1,9,2,13,2,9,1,8,2,9,2,8,1,13,1,8,1,13,2,8,2,13,2,8,1,9,3,8,1,9,1,10,1,9,2,10,1,11,2,16,1,11,4,16,4,11,4,9,2,10,1,11,1,9,2,10,1,9,2,11,1,9,9,8,2,13,1,8,1,13,1,8,1,13,6,7,1,8,1,13,1,6,1,7,1,13,5,6,1,13,4,8,1,9,1,10,1,13,1,9,1,8,1,9,1,8,1,13,1,9,4,8,1,9,1,8,4,9,1,8,1,10,1,13,1,9,1,13,2,9,5,10,1,11,1,9,2,11,1,8,1,9,2,10,1,9,6,11,2,10,1,11,4,9,2,11,1,9,2,8,1,9,4,13,1,11,1,13,1,8,1,9,1,13,1,8,1,13,5,8,1,13,3,8,1,13,1,9,1,13,1,8,2,9,2,13,1,9,2,11,1,9,2,13,1,5,59,33,1,28,1,30,1,28,1,30,1,7,1,13,1,10,1,9,3,10,1,9,1,10,1,9,1,11,1,8,1,10,1,9,4,10,1,9,2,10,1,9,2,11,1,10,1,13,1,9,2,8,1,9,3,8,1,13,1,6,1,13,1,33,2,5,11,9,1,13,1,10,1,11,1,17,10,16,2,17,3,11,1,12,1,8,1,17,1,10,1,9,2,11,3,12,1,8,1,13,1,6,1,7,1,8,1,6,1,30,2,6,1,28,2,30,1,5,16,28,2,13,1,17,1,10,2,11,1,12,1,11,2,12,3,10,2,9,1,24,1,10,1,8,1,24,1,13,1,9,1,8,1,9,1,8,1,24,2,8,1,9,1,12,1,11,2,12,3,17,1,12,1,17,1,9,1,10,1,12,1,24,1,8,1,24,1,17,1,10,2,9,1,8,1,13,1,8,1,9,1,12,1,10,2,9,1,17,1,9,2,10,1,11,1,13,1,10,1,8,1,17,1,9,2,17,1,11,1,17,1,11,1,12,1,11,1,24,1,9,5,10,1,12,1,11,2,10,1,9,1,11,1,33,1,5,26,28,14,17,2,12,1,16,1,8,1,9,1,6,1,7,1,30,2,28,1,29,1,13,1,8,1,9,2,10,1,8,1,28,6,13,1,16,1,13,1,6,1,30,2,28,1,6,1,28,25,8,1,14,1,9,2,13,2,30,1,8,3,7,1,29,2,28,3,6,1,13,1,10,1,}, {28,1,29,1,28,1,13,1,17,1,9,1,7,2,30,1,6,1,30,1,6,1,7,1,6,1,30,1,28,34,30,1,28,2,30,2,13,1,6,1,13,1,9,2,14,1,9,1,6,1,29,1,28,1,30,1,28,2,9,1,15,1,24,1,29,1,6,1,13,5,7,1,6,1,30,1,9,1,10,1,6,1,13,1,29,1,7,1,29,1,6,1,12,1,10,1,12,1,8,1,9,1,15,1,10,1,9,4,17,1,10,1,17,1,12,1,17,1,12,1,14,2,9,1,7,1,30,1,28,24,7,1,24,1,10,1,9,1,24,1,14,1,8,1,6,1,30,2,29,1,30,1,6,2,12,1,17,1,10,1,11,1,13,2,8,1,9,1,12,1,8,3,9,1,11,2,14,3,13,1,30,1,28,4,30,1,28,7,30,1,6,1,17,1,16,2,11,1,16,2,9,1,11,1,9,2,10,1,9,2,11,1,9,1,16,1,11,1,16,1,17,6,13,2,24,1,10,1,8,1,24,1,13,1,24,1,8,1,24,1,13,1,8,1,7,1,6,1,13,1,8,1,13,1,8,1,7,1,6,1,7,1,29,2,7,2,29,1,28,1,30,1,29,1,28,14,30,1,7,1,10,1,24,1,12,1,24,1,8,1,9,1,8,1,9,1,7,1,8,1,24,2,9,1,8,1,9,1,10,1,9,2,10,1,9,1,10,2,12,1,17,1,11,1,17,41,11,1,10,1,11,1,10,1,24,1,13,1,24,1,8,1,24,1,8,2,24,1,9,1,13,2,24,2,13,2,8,1,6,1,25,2,26,1,27,1,26,1,30,1,29,1,28,1,30,1,28,50,29,1,28,48,30,2,28,1,30,1,28,2,6,1,30,1,28,1,6,1,29,2,28,1,29,2,30,1,7,1,6,1,29,1,28,1,6,1,7,1,29,1,7,1,28,1,8,1,7,1,6,1,28,1,7,2,8,1,6,1,29,1,30,1,7,1,6,1,30,1,28,1,7,1,29,1,30,1,29,1,30,1,28,1,7,1,28,2,29,1,28,3,29,1,30,1,28,3,6,2,29,1,30,1,29,1,28,1,6,1,29,1,7,1,30,1,6,2,13,1,30,1,29,1,8,1,13,1,7,1,6,1,7,1,13,1,8,1,7,1,8,1,6,1,13,1,6,1,8,1,7,1,8,1,29,1,24,1,7,2,13,1,8,2,7,1,13,1,6,1,7,1,30,2,6,2,29,1,30,2,24,1,8,1,6,1,30,1,6,1,7,1,6,1,7,1,6,1,13,3,7,1,13,2,24,1,8,1,7,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,24,1,13,1,7,1,10,1,17,7,12,1,17,1,9,1,17,1,10,1,9,2,8,1,12,1,17,1,12,1,10,1,12,1,9,1,10,1,11,1,12,1,17,1,10,1,11,1,17,1,12,1,17,1,11,1,17,1,12,1,11,1,17,1,12,2,17,1,9,1,12,1,9,1,17,1,10,1,17,1,10,1,17,1,11,1,12,1,17,2,10,1,9,2,17,1,9,2,17,1,12,1,9,1,12,1,9,1,17,3,12,4,10,1,12,1,10,1,12,1,9,1,17,1,9,2,11,1,17,3,12,1,17,3,12,1,17,6,13,1,30,1,28,14,29,1,28,1,30,2,28,1,29,1,30,2,28,32,30,1,29,1,6,1,29,1,8,1,13,1,7,1,24,1,13,1,8,1,10,1,9,1,11,1,12,1,10,1,12,1,17,1,11,1,12,1,9,2,17,1,12,1,10,1,8,2,11,1,17,1,16,7,10,1,11,3,16,1,11,3,10,1,9,5,11,1,9,3,13,1,9,2,13,1,9,2,11,1,9,9,8,2,11,1,13,1,11,1,9,1,13,1,10,1,9,1,10,1,9,1,10,1,11,1,9,1,11,2,9,1,16,1,9,1,10,2,9,9,11,1,13,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,13,1,11,2,9,2,13,1,9,3,8,2,9,3,11,1,9,2,11,1,9,1,8,1,11,1,9,1,13,1,9,3,13,2,11,1,13,2,8,1,9,1,13,4,8,1,13,3,9,1,13,1,9,1,8,1,13,4,8,1,13,10,9,2,13,1,9,1,13,1,9,1,13,3,8,1,9,1,8,1,13,3,8,3,13,2,8,1,13,1,8,1,13,2,9,1,8,1,13,7,9,2,8,1,9,1,13,1,9,1,8,1,9,2,13,1,9,2,8,1,13,5,8,1,13,5,8,1,13,4,9,1,6,1,9,1,8,1,13,2,9,3,8,3,13,1,9,2,13,1,10,1,8,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,13,2,9,2,13,1,9,3,13,2,8,1,9,9,11,2,9,2,11,2,8,1,9,2,11,1,16,1,11,1,16,2,11,1,9,1,10,1,11,1,9,3,11,1,10,1,16,1,9,2,8,1,6,1,13,1,9,1,33,1,6,1,33,54,5,373,13,1,28,2,30,1,13,1,7,1,13,2,7,1,13,2,7,1,13,2,8,1,13,5,8,3,13,1,9,1,13,1,8,3,13,1,8,2,13,2,8,1,9,4,16,1,8,1,9,2,11,1,9,4,8,1,9,1,11,1,9,2,10,1,9,2,10,1,9,3,11,1,9,1,11,3,9,7,11,1,9,5,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,11,3,16,1,11,2,16,1,11,3,17,2,13,1,28,3,29,1,30,1,28,1,30,1,29,1,6,1,30,1,28,3,30,2,28,2,30,1,6,1,28,1,30,1,6,1,7,1,28,1,30,2,28,2,30,1,28,2,29,1,30,2,28,3,12,1,17,1,10,1,9,1,13,1,8,1,13,2,28,3,29,1,30,1,28,1,30,1,29,1,30,2,29,1,6,1,29,1,28,1,6,1,30,1,6,1,29,1,6,2,13,4,6,1,13,1,8,2,9,2,8,1,9,3,10,1,9,3,11,4,16,2,11,1,16,1,11,3,16,2,11,1,17,1,9,1,11,2,9,1,11,1,10,1,9,1,11,1,9,1,11,1,16,1,11,1,16,3,10,1,11,1,17,1,9,1,6,1,28,3,30,1,6,1,13,1,6,1,7,1,13,5,8,2,10,2,9,2,11,1,9,1,8,1,9,1,13,1,7,1,13,3,30,1,9,1,13,1,6,2,13,1,30,3,6,3,13,7,8,1,13,1,8,2,13,2,9,1,13,2,11,1,13,1,9,1,11,1,9,1,10,1,13,1,6,1,7,1,30,1,13,1,30,1,6,2,13,1,6,1,30,2,13,2,6,2,13,5,11,1,16,2,17,1,16,4,9,1,13,2,6,1,30,1,6,1,13,1,6,3,30,1,6,2,9,1,13,1,9,1,13,1,9,3,13,3,6,2,13,1,6,1,28,1,9,2,13,2,6,1,30,2,28,9,6,1,28,2,5,17,33,6,5,2,11,2,9,8,13,4,8,3,13,1,8,2,9,1,8,1,10,1,9,3,10,1,11,1,9,2,11,1,10,1,16,1,9,1,11,3,16,1,11,3,16,1,11,5,9,5,11,2,9,6,8,1,9,2,13,1,8,3,13,1,8,1,13,5,7,1,13,1,7,1,13,5,7,1,8,1,13,1,8,1,13,3,9,2,13,1,8,1,13,1,8,4,13,2,8,4,10,1,9,2,8,1,9,1,8,2,13,2,9,1,13,1,8,1,9,5,11,1,9,1,11,1,9,4,10,1,9,3,10,1,11,4,9,1,16,2,9,2,11,1,9,2,16,1,11,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,6,1,9,1,13,2,8,1,9,1,7,2,13,1,8,1,13,2,6,1,9,1,7,1,8,2,9,1,8,1,9,3,13,1,9,2,16,1,28,1,5,60,6,1,30,3,6,1,8,1,9,4,11,2,9,2,11,1,10,1,9,1,10,2,11,2,9,1,11,1,9,2,10,1,9,1,10,1,9,1,10,1,9,1,8,1,9,1,8,4,13,1,6,1,33,2,5,12,33,1,9,1,11,1,17,1,11,1,17,13,12,1,17,1,9,3,10,1,11,1,9,2,11,1,8,1,9,1,8,1,13,1,6,1,7,1,30,1,28,1,30,1,28,3,5,17,33,1,28,2,13,1,11,2,9,1,10,1,9,1,10,1,9,1,10,1,12,1,9,1,12,1,17,1,10,2,9,2,24,1,10,1,12,1,24,1,8,2,24,1,8,1,9,2,12,1,10,1,12,2,17,1,11,1,12,1,9,1,11,1,12,2,24,1,10,1,24,1,10,2,9,1,11,1,9,1,13,1,11,1,17,1,9,1,10,1,9,2,12,2,17,1,12,1,10,1,11,2,17,1,9,1,10,1,17,1,10,1,17,5,12,1,10,1,11,2,10,1,17,1,10,3,11,1,9,2,11,1,5,27,28,13,30,1,12,1,17,2,12,1,8,3,6,1,30,2,29,2,7,1,6,1,8,1,12,1,11,1,13,1,28,5,29,1,9,1,16,1,9,1,30,1,28,1,30,1,28,1,30,1,28,25,9,1,17,1,11,1,8,2,7,1,30,1,9,1,10,1,24,1,6,1,30,2,28,3,29,1,13,1,8,1,}, {28,2,29,1,7,1,10,1,8,1,6,1,13,1,29,2,30,1,7,1,24,1,8,1,28,36,29,1,28,2,6,1,30,1,13,2,8,1,10,1,14,1,24,1,8,1,28,2,30,1,28,2,8,1,24,1,10,1,7,1,13,1,28,1,6,1,13,1,24,1,13,3,29,1,13,1,24,1,13,2,29,2,6,1,13,1,24,1,15,1,11,1,24,1,8,1,17,1,9,2,13,3,12,2,17,1,11,1,17,1,10,1,16,1,14,1,8,1,29,1,28,24,30,1,13,1,8,1,24,1,17,1,9,1,17,1,13,1,6,1,29,1,28,1,29,1,30,1,13,1,29,1,12,2,9,3,13,1,8,1,13,2,8,2,9,1,8,1,14,1,16,1,17,1,14,1,17,1,6,1,7,1,28,7,30,2,28,2,6,1,28,1,7,1,11,1,9,1,16,2,10,1,16,2,11,1,9,1,8,1,9,3,10,1,8,1,10,1,8,1,16,1,17,6,11,2,24,1,13,1,8,1,13,1,10,1,9,1,24,1,7,1,13,1,8,1,13,2,7,2,8,1,13,1,7,1,6,3,7,1,29,3,28,1,30,1,29,1,28,13,29,1,8,1,24,1,12,4,9,1,12,1,17,1,12,1,10,1,24,1,8,1,9,2,24,3,10,1,8,1,9,1,12,2,10,1,9,1,10,1,12,1,10,1,12,1,17,41,9,3,24,1,12,1,9,1,13,1,8,1,24,1,9,1,8,1,24,1,10,1,24,1,8,2,7,1,8,1,7,1,25,1,6,1,25,1,6,1,28,1,30,1,6,1,28,2,30,1,28,4,30,1,28,41,30,1,28,1,6,2,28,13,30,1,28,23,29,1,28,3,30,2,29,1,28,4,29,1,28,4,29,1,30,4,28,1,30,1,28,1,30,2,28,1,8,1,26,1,29,1,6,3,7,1,29,1,7,1,29,1,28,1,29,1,6,1,8,1,28,1,30,1,7,1,29,2,7,1,28,1,6,2,29,1,28,1,29,1,28,1,29,1,30,1,28,3,29,1,28,1,6,1,30,1,28,1,6,1,30,1,28,1,6,3,28,1,30,1,29,1,28,1,29,1,30,2,29,1,30,1,29,1,7,1,6,2,30,1,24,1,6,1,13,3,6,1,24,1,29,1,13,2,29,1,8,1,7,1,6,1,13,3,10,1,7,2,13,1,8,1,6,1,29,2,28,2,30,1,28,1,29,2,6,1,13,1,28,1,6,1,29,1,6,2,29,1,13,1,6,1,7,1,13,2,7,1,8,1,24,2,9,1,24,2,9,1,24,1,8,1,24,1,13,1,9,1,8,1,24,1,8,1,13,1,28,1,29,1,8,1,13,1,17,6,9,1,12,1,10,1,17,1,11,2,10,2,17,1,11,1,9,1,12,2,11,2,17,1,12,1,17,1,12,3,11,1,17,1,11,2,12,1,10,1,11,1,10,1,11,1,12,1,9,1,12,1,17,1,10,1,11,1,17,1,12,1,9,1,17,1,12,1,17,1,10,1,9,1,17,1,12,1,15,1,12,2,24,1,12,1,17,1,10,1,9,1,12,1,9,1,17,1,11,1,12,1,17,1,9,1,10,2,12,1,17,1,9,1,12,1,17,1,12,1,11,1,17,1,11,1,12,2,17,1,12,1,17,6,13,1,28,11,30,1,28,3,30,1,29,1,6,1,28,1,30,2,28,2,30,1,28,32,7,1,6,2,24,2,9,2,12,1,9,3,11,1,12,1,17,1,11,1,12,1,11,1,12,2,9,1,12,1,11,1,8,1,9,1,8,1,17,1,11,1,16,4,11,1,16,1,10,1,16,1,9,4,16,1,9,1,13,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,16,1,9,2,11,1,9,2,10,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,3,11,2,9,6,8,1,11,1,9,9,10,1,9,9,8,1,11,2,10,1,11,1,9,1,11,2,9,1,10,1,9,1,10,1,11,1,9,1,11,1,9,1,13,1,9,1,8,1,11,1,9,9,16,1,9,1,8,1,9,1,8,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,13,2,9,1,13,1,9,1,13,2,9,5,13,1,8,1,13,2,9,1,13,3,9,1,13,1,8,1,9,1,13,2,7,1,13,1,9,1,13,2,9,1,8,1,13,1,9,1,8,1,9,2,8,1,9,1,13,1,7,1,13,1,9,1,13,1,8,2,13,1,8,1,9,2,8,1,13,1,9,1,13,2,8,1,13,3,9,1,8,1,9,1,13,2,9,1,13,1,9,1,13,1,9,3,8,1,13,3,8,1,13,1,6,1,13,2,9,1,13,1,8,1,13,3,9,1,13,1,9,1,8,1,9,1,6,1,13,3,9,3,13,1,9,1,13,1,9,2,8,2,13,1,9,1,13,2,9,4,8,1,9,1,13,2,9,1,13,1,11,1,9,1,13,1,9,2,13,1,9,1,11,1,9,3,11,1,9,5,13,1,9,7,11,1,10,1,11,1,16,1,9,2,11,2,9,1,11,2,9,1,11,1,9,5,13,1,9,2,13,2,33,56,5,376,28,2,30,1,13,1,9,1,13,2,7,1,13,5,8,1,9,1,8,2,9,3,13,1,8,1,13,1,9,1,8,1,13,1,9,1,8,2,9,2,8,1,9,2,10,1,8,1,9,8,11,1,10,1,9,4,11,1,9,1,11,4,9,1,11,1,9,1,11,1,10,1,9,1,8,1,10,1,11,2,10,1,9,1,11,2,10,1,11,3,9,1,11,3,10,1,11,2,16,1,11,1,16,1,11,1,16,1,11,5,16,2,17,2,13,1,30,1,28,2,30,1,6,1,28,1,6,1,28,1,6,1,30,1,28,7,30,1,28,3,30,1,7,2,30,1,7,1,30,1,6,1,28,1,6,1,29,1,30,1,6,1,30,1,6,1,28,1,30,2,28,3,13,1,11,1,9,4,13,3,29,2,6,1,29,1,28,1,30,1,28,1,29,1,6,1,30,3,6,1,30,1,6,2,7,1,6,2,13,2,8,1,13,1,9,1,13,1,8,1,9,7,11,1,9,2,16,1,9,1,11,2,16,2,11,1,16,2,11,2,16,1,11,3,16,1,11,1,16,1,9,1,11,2,10,1,9,1,11,2,16,2,11,1,17,1,11,1,16,3,17,2,13,1,28,3,6,1,7,1,6,2,7,1,9,1,13,5,6,1,8,1,13,1,6,1,13,1,9,2,13,2,9,1,13,2,9,2,8,1,11,1,8,2,9,1,13,2,7,1,6,1,13,1,6,2,29,1,13,2,6,3,13,4,6,1,9,1,13,2,8,1,9,1,13,2,9,1,13,2,30,1,6,1,29,1,6,2,7,1,6,1,28,1,6,1,13,1,6,1,13,1,8,1,13,1,9,1,13,1,6,1,13,2,6,1,9,2,11,1,9,1,11,1,16,3,9,1,16,1,9,1,13,1,6,1,13,2,6,1,13,2,30,1,13,1,6,1,13,2,9,8,6,1,13,1,30,1,13,9,6,1,30,1,28,8,6,2,30,1,5,22,33,4,5,1,33,1,9,2,11,1,9,5,13,2,8,3,9,1,13,1,8,1,9,2,13,1,9,2,8,1,9,4,11,1,9,1,11,2,9,1,11,3,16,1,11,2,16,2,11,1,9,1,11,1,9,2,11,1,9,4,11,1,9,3,11,1,9,1,10,1,11,1,8,1,13,1,8,1,9,1,8,1,9,1,13,2,9,1,13,3,8,1,6,1,13,2,6,1,13,2,6,1,9,1,8,1,13,5,8,1,13,2,9,5,6,1,8,2,9,1,13,2,9,2,10,1,9,3,8,1,13,1,9,1,13,1,8,1,9,3,11,1,9,10,10,1,9,1,10,1,8,1,10,1,9,1,10,1,11,1,9,1,11,2,9,3,8,1,11,1,9,1,11,1,9,2,13,1,9,1,11,1,13,1,9,3,13,1,9,2,8,2,9,1,13,3,9,1,8,1,13,5,9,1,8,2,13,2,8,1,9,3,8,1,11,1,9,1,16,1,13,1,6,1,5,60,13,1,28,2,13,3,9,3,10,1,11,2,9,1,10,2,9,1,8,1,9,2,10,1,12,1,9,2,10,1,9,3,11,1,9,3,10,1,8,1,9,1,13,3,28,1,33,2,5,15,16,2,17,11,11,1,17,1,11,2,17,1,11,2,10,1,9,1,13,1,8,1,9,1,13,1,9,1,8,2,13,1,6,1,28,4,13,1,5,21,28,1,13,1,9,3,11,1,10,1,8,1,10,1,17,1,10,1,11,1,9,1,17,1,12,1,11,1,24,1,8,2,9,1,24,1,9,1,24,1,10,1,24,2,8,1,10,1,12,1,11,1,17,1,11,2,12,2,9,1,11,1,12,1,10,2,12,1,8,1,9,1,8,2,12,1,13,1,9,1,10,2,12,1,11,1,9,1,17,1,10,2,11,1,12,2,13,1,10,4,12,1,17,1,12,3,17,1,10,1,11,1,17,1,11,1,17,3,12,3,8,1,11,2,16,1,5,26,28,13,29,1,17,3,9,1,8,1,9,1,8,1,29,2,28,1,13,1,6,1,7,1,13,1,9,1,10,1,11,1,8,1,28,6,8,1,17,1,8,1,30,3,28,27,8,1,17,1,12,1,8,1,13,1,6,1,30,1,9,2,10,1,29,1,6,1,28,4,29,1,7,1,24,1,}, {30,2,28,1,7,1,9,1,24,1,13,1,29,1,6,1,30,1,29,1,30,1,9,1,6,1,28,35,30,1,28,1,30,2,29,1,6,1,8,1,7,1,24,1,14,1,12,2,6,1,28,2,29,1,28,2,24,1,12,1,8,1,6,4,7,1,8,1,9,1,8,1,6,1,28,1,24,1,13,1,30,1,13,1,30,1,28,2,13,1,24,1,12,1,24,2,17,1,9,3,8,1,7,1,10,1,17,3,12,3,11,1,14,1,10,1,6,1,28,1,29,1,28,23,8,1,7,1,10,1,9,1,10,1,24,1,13,2,29,1,30,1,7,1,30,2,6,1,12,1,11,1,12,1,17,1,8,1,13,2,8,2,13,1,8,1,13,1,24,1,9,1,17,1,16,1,17,1,14,1,7,1,30,2,28,1,30,1,28,5,30,1,29,1,28,2,29,1,6,1,11,2,9,1,16,3,9,3,11,1,9,2,16,1,9,1,11,2,9,1,16,2,17,6,9,2,7,1,9,1,24,4,8,1,24,1,8,2,7,2,8,1,7,1,13,1,24,1,7,1,29,1,7,2,28,1,29,1,30,2,29,1,30,2,28,1,30,1,28,10,29,1,10,2,17,1,12,1,17,6,12,1,17,1,24,1,9,2,12,1,8,1,12,3,24,1,8,1,12,1,24,1,12,5,17,1,10,1,17,40,12,2,17,1,24,1,8,1,24,2,9,1,24,3,8,1,13,1,8,2,6,1,8,1,7,1,26,1,25,2,6,1,29,4,30,4,28,2,29,1,30,1,28,43,29,1,30,1,28,2,30,1,28,32,29,1,28,1,29,1,28,9,30,1,28,2,29,3,28,1,30,1,29,2,30,1,6,2,30,1,7,2,25,1,8,1,6,1,7,1,29,1,6,1,29,1,6,5,28,1,8,1,28,1,30,1,29,1,30,1,6,1,29,2,30,2,28,1,6,1,29,1,28,1,30,1,28,4,30,1,29,3,30,2,28,1,29,1,30,2,6,1,28,1,30,1,28,1,29,1,6,2,7,1,6,1,7,1,29,1,6,2,29,1,7,1,8,1,13,1,7,1,13,1,6,1,8,1,7,1,13,1,6,1,13,2,7,1,29,1,13,1,7,1,8,1,13,3,7,1,13,1,6,1,30,1,6,1,30,1,29,1,28,1,30,1,28,1,6,1,30,1,28,1,8,1,28,1,7,2,6,1,13,1,7,1,29,1,13,1,24,1,13,1,24,1,8,1,13,1,24,1,13,1,8,1,24,1,12,1,13,1,9,1,24,1,8,1,24,1,7,1,8,2,24,1,8,1,29,1,28,1,30,1,28,1,6,1,8,1,9,1,11,1,17,2,12,1,17,3,12,1,10,1,12,1,17,1,9,1,17,1,12,1,11,1,12,1,11,1,17,1,11,1,17,4,12,1,17,2,12,2,17,2,10,1,12,2,9,1,11,1,17,1,11,2,12,1,9,1,17,1,9,1,12,1,17,2,10,1,12,1,10,1,12,1,17,1,9,1,12,1,10,1,12,2,9,1,17,1,9,1,8,1,12,2,17,1,11,1,17,1,9,1,12,1,10,1,11,1,10,1,12,2,17,1,10,2,17,10,11,1,28,14,30,1,28,2,30,2,28,37,6,1,13,1,7,1,13,2,7,2,9,1,10,1,9,1,24,2,10,1,9,1,11,1,24,1,12,1,24,1,17,1,12,2,11,2,13,1,10,1,9,1,16,1,11,2,16,1,11,1,16,2,11,1,10,1,16,1,11,1,16,1,11,1,9,1,10,1,9,1,16,2,9,1,13,1,9,2,11,1,9,2,8,1,9,2,8,1,9,3,13,1,8,1,9,6,8,1,9,1,11,1,9,2,11,1,9,3,13,1,9,6,11,1,9,3,10,1,9,1,8,1,9,4,8,1,9,2,11,2,16,1,9,1,11,1,9,3,13,1,9,1,11,1,9,1,13,1,10,1,9,1,11,2,9,2,11,1,9,1,8,2,9,1,13,1,9,5,10,2,13,1,11,1,9,1,11,1,9,6,11,1,13,3,9,1,13,4,6,1,13,6,8,1,13,2,9,1,8,1,13,11,9,4,13,2,9,1,7,1,13,2,6,1,13,7,8,1,9,1,13,3,9,1,13,1,11,1,8,2,9,2,13,3,9,2,13,1,9,2,10,1,9,1,13,1,8,1,13,4,9,2,13,3,9,3,13,1,9,2,13,3,9,2,8,1,9,1,8,1,9,1,8,2,9,1,13,1,8,1,11,1,9,7,8,1,9,1,13,3,9,2,11,1,9,1,11,1,8,1,9,3,8,1,13,1,9,2,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,2,10,1,9,4,11,1,9,4,11,4,16,1,11,2,16,1,11,1,9,8,11,1,9,3,13,3,30,1,33,55,5,378,16,1,13,3,9,1,11,1,9,1,13,1,9,2,13,1,6,1,13,2,6,2,8,1,11,1,9,3,10,1,8,2,9,1,10,1,9,1,8,1,9,2,11,1,9,2,11,1,10,1,8,1,11,1,9,1,11,1,9,2,11,2,9,2,11,1,9,1,11,2,9,1,16,1,11,13,16,3,11,3,16,3,17,1,16,1,11,1,16,2,9,1,16,2,11,1,16,1,11,1,16,1,11,2,16,1,11,1,13,1,28,11,30,1,28,20,30,3,6,1,30,1,6,1,7,1,29,1,6,1,30,1,28,4,9,1,11,1,9,2,8,2,29,1,30,3,28,1,30,1,29,2,28,1,29,1,30,1,29,1,6,1,30,1,29,1,30,1,6,3,7,1,13,4,9,1,13,2,9,1,8,1,9,1,10,1,9,4,11,1,10,1,16,1,11,2,9,1,11,2,16,1,11,3,16,1,10,1,11,3,9,1,11,1,9,1,11,2,10,2,9,1,13,1,11,1,10,1,17,1,12,1,11,2,16,1,11,3,17,2,7,1,28,3,30,1,28,2,13,3,6,1,13,2,7,1,13,2,9,1,13,2,7,1,8,1,13,2,7,2,13,2,9,1,13,1,9,3,13,1,9,2,13,1,9,1,6,1,13,1,8,1,13,2,8,1,13,2,9,2,13,4,9,1,13,1,8,2,13,1,8,1,13,1,29,1,13,1,30,1,7,1,6,1,30,1,13,1,30,2,7,1,30,1,29,1,13,1,6,1,13,3,9,2,30,1,6,3,13,3,9,1,16,1,9,1,16,3,17,1,16,1,9,1,11,1,13,1,6,1,13,1,6,1,13,1,28,1,13,1,30,1,13,4,9,1,13,1,9,4,13,1,9,2,6,2,13,2,30,1,6,1,13,1,6,1,13,1,6,1,30,2,28,7,30,1,28,2,5,35,9,1,13,1,9,1,8,1,9,1,13,1,9,1,8,3,9,2,8,1,9,4,11,1,9,1,11,1,9,1,11,1,9,1,11,8,16,1,11,4,9,1,11,1,9,1,11,1,9,9,11,1,8,1,9,2,13,1,9,1,13,1,8,1,13,3,6,1,8,2,7,2,8,1,6,1,8,2,13,4,8,1,13,2,8,1,13,1,9,1,13,1,9,2,13,1,10,1,9,1,11,1,9,1,8,3,9,2,13,1,9,1,13,1,9,3,10,2,7,1,9,1,13,1,10,1,9,1,10,1,9,1,10,1,8,1,9,3,11,1,10,1,11,1,9,2,11,2,9,1,11,2,9,3,11,1,9,1,13,1,9,1,13,1,9,3,13,1,9,3,8,1,13,1,9,1,13,1,8,1,9,2,8,1,9,2,8,2,9,1,13,3,8,4,13,1,9,1,13,2,9,1,13,2,8,1,9,1,8,1,9,1,8,1,9,2,10,1,11,1,28,1,5,61,13,1,6,1,30,2,6,1,13,1,9,4,10,3,9,6,11,1,9,1,10,1,9,3,11,1,9,1,10,1,9,2,11,1,9,2,8,1,13,2,30,1,13,1,33,1,5,16,16,1,17,1,16,1,17,8,12,1,11,1,9,1,11,1,10,1,12,1,9,1,11,2,9,2,8,2,9,2,8,1,13,1,28,3,6,1,28,1,13,1,5,24,13,2,9,2,17,1,11,2,9,2,11,1,9,1,12,1,9,1,17,1,9,1,24,1,11,1,24,3,10,1,8,2,9,1,8,1,9,1,12,1,24,1,12,1,17,1,12,1,8,1,12,1,17,1,12,1,10,1,12,1,10,1,24,1,12,1,10,1,9,1,12,1,8,1,10,1,24,1,7,1,12,1,17,1,9,1,12,2,11,2,17,1,9,1,17,1,11,1,12,1,17,1,11,1,17,3,12,1,17,1,9,2,10,1,11,1,10,2,11,1,17,1,11,1,17,1,12,1,9,1,10,1,11,2,16,1,5,26,6,1,28,12,9,1,10,1,17,1,16,1,8,1,9,1,8,1,13,1,29,1,6,1,28,1,29,1,30,1,13,2,9,3,13,1,28,6,9,1,17,1,8,1,28,1,30,1,28,1,30,1,28,26,11,1,17,1,12,1,8,1,13,1,6,2,11,1,9,1,24,1,6,1,28,1,30,1,28,1,30,1,28,1,7,2,8,1,}, {28,2,30,1,6,1,8,1,13,1,30,1,29,1,28,1,6,2,30,1,12,1,30,1,28,36,29,1,28,2,30,1,6,1,13,2,8,1,12,1,14,1,9,1,6,1,30,1,28,1,30,1,28,2,12,1,9,1,8,1,28,1,6,1,28,1,29,1,30,1,8,2,13,1,30,2,13,1,8,1,6,1,8,1,30,2,28,1,7,1,9,1,14,1,10,2,9,4,8,1,13,1,24,1,17,4,9,2,11,1,17,1,10,1,6,1,28,24,30,1,6,1,8,2,9,1,8,1,10,1,13,1,30,1,29,1,30,2,29,1,28,1,8,1,24,1,12,1,16,1,12,1,9,1,8,1,9,2,24,1,8,2,24,1,9,1,11,1,15,1,11,1,17,2,13,1,28,1,29,1,30,1,28,7,30,1,29,1,28,2,6,1,11,1,16,1,11,4,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,16,4,17,8,11,1,10,1,24,1,9,1,24,1,9,1,24,1,13,1,8,2,24,1,8,2,24,1,13,1,7,1,8,2,6,1,8,1,13,1,30,1,6,1,29,1,6,2,28,1,30,1,28,1,30,1,28,10,7,1,9,1,12,1,17,10,12,2,24,2,12,1,24,1,10,1,24,1,9,2,12,1,24,1,12,1,24,1,12,1,9,1,10,1,12,2,17,42,12,1,9,1,11,1,13,1,9,1,13,1,9,1,24,5,7,1,8,1,25,1,8,2,6,1,25,1,6,1,7,1,30,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,50,30,1,28,6,30,1,28,5,30,1,28,8,30,1,28,5,30,1,28,1,29,1,30,1,28,5,29,1,28,2,29,1,30,2,29,2,28,1,7,1,29,3,6,3,28,1,6,1,30,1,13,1,28,2,29,1,13,1,30,1,29,1,13,1,7,1,6,1,29,1,6,2,7,1,6,2,7,1,6,1,30,1,6,1,30,1,6,1,29,3,28,1,29,1,30,1,28,1,30,1,29,1,28,2,29,1,30,2,28,4,6,1,28,1,30,3,29,2,30,2,7,1,8,1,6,1,7,1,6,1,7,2,13,2,7,1,6,3,8,1,7,1,29,1,13,2,30,1,29,2,13,1,7,1,6,1,13,1,8,1,13,1,6,2,29,1,6,1,28,5,29,1,28,1,30,1,28,1,6,1,7,1,30,1,29,1,30,1,7,1,6,2,13,3,24,1,13,2,24,1,8,2,9,1,8,1,9,1,24,1,8,2,13,1,8,1,9,1,13,1,7,2,8,2,13,1,8,4,6,3,24,1,17,1,12,1,17,3,12,2,11,2,12,1,17,1,12,1,9,1,17,2,11,1,12,1,17,1,11,1,17,1,11,1,12,1,17,1,12,1,9,1,12,1,17,1,12,1,11,1,17,1,11,4,9,1,12,1,10,1,12,1,17,1,16,1,17,1,16,1,9,1,17,1,12,1,9,2,17,2,12,1,17,1,12,1,10,2,12,1,17,1,10,1,8,1,12,1,8,1,17,3,12,3,17,2,12,1,17,2,12,2,17,1,16,1,17,6,8,1,28,11,30,1,28,3,30,4,28,1,29,1,28,33,30,1,28,1,7,1,29,1,13,1,24,1,13,1,24,2,7,1,24,2,10,1,9,1,12,4,17,2,9,1,24,1,9,3,13,1,9,1,11,1,16,1,11,1,16,1,11,1,17,1,16,2,11,1,16,1,11,3,9,1,11,1,9,1,11,2,9,1,11,1,9,1,10,1,9,1,11,1,9,2,11,1,9,2,11,1,13,1,9,1,8,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,2,8,1,9,5,8,1,13,1,9,3,11,1,9,1,8,1,9,3,8,2,11,1,10,1,9,3,10,1,9,1,13,1,9,3,11,1,9,3,16,1,9,2,11,1,8,1,16,1,9,2,11,3,16,1,11,1,9,5,13,1,9,5,11,1,9,2,10,1,9,1,8,1,9,1,11,1,10,1,9,2,13,1,9,2,13,2,9,1,8,1,13,3,9,1,13,5,9,1,13,6,9,1,13,1,8,1,13,2,9,4,13,2,9,1,13,1,9,3,13,1,10,1,8,1,13,4,9,2,13,2,9,1,13,1,8,1,9,1,8,1,13,3,9,2,13,1,9,1,8,1,13,1,9,1,13,1,9,3,13,1,9,2,13,2,9,3,13,1,9,1,13,5,9,1,8,1,13,1,9,1,8,1,13,2,9,3,13,1,9,1,13,1,8,1,9,6,8,1,13,1,8,1,9,1,8,2,11,1,13,1,9,1,8,2,9,2,13,1,8,1,13,1,9,2,11,1,9,1,13,1,9,1,8,1,9,1,11,1,9,3,11,1,9,1,16,1,10,1,9,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,13,1,9,1,10,1,9,4,11,1,16,1,11,4,10,2,9,5,11,2,9,1,13,1,9,1,6,1,9,1,28,1,33,55,5,381,33,1,6,1,30,1,28,2,30,1,28,5,30,1,13,4,33,1,13,1,33,2,13,2,6,1,30,1,28,3,13,1,16,2,10,1,11,1,9,1,8,1,9,1,11,1,9,6,16,1,9,1,11,1,10,1,11,1,9,3,11,10,10,1,16,1,11,4,17,1,11,5,16,2,11,1,16,1,11,1,16,2,11,4,13,1,28,19,30,1,28,14,30,1,28,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,6,1,30,2,28,4,13,1,9,1,10,1,9,1,13,1,29,1,30,1,6,1,29,1,28,1,30,1,29,1,30,1,29,1,6,1,30,1,29,1,30,1,29,1,7,1,6,2,29,1,13,1,7,1,13,2,8,1,9,1,13,2,8,1,9,5,11,1,9,2,11,1,10,1,11,6,16,1,11,1,16,3,9,1,11,1,9,1,11,1,9,1,11,4,13,2,11,1,9,1,16,2,10,1,11,8,17,2,28,6,13,2,8,1,29,1,7,1,13,1,30,1,13,2,7,1,6,2,13,3,7,1,13,1,8,1,30,1,13,1,8,1,7,2,6,1,8,1,13,1,8,2,13,8,8,1,9,1,13,2,8,1,9,1,8,2,9,1,13,1,8,1,9,1,30,1,7,1,13,1,6,2,13,1,6,2,13,2,28,1,6,1,30,1,6,1,13,1,29,1,6,1,28,1,6,1,13,4,29,1,13,3,28,1,13,1,6,1,9,1,11,1,16,6,11,1,13,3,6,2,13,1,30,1,6,1,8,1,13,1,6,2,13,1,9,3,8,1,9,1,8,1,9,2,13,1,6,1,13,4,6,1,13,2,6,2,30,2,28,6,6,3,5,36,6,1,13,1,9,1,8,1,13,3,24,1,8,2,9,1,10,1,9,4,10,1,9,1,8,1,9,3,10,1,9,1,11,2,9,1,11,1,16,1,9,1,11,6,9,2,10,2,9,2,11,1,9,3,11,1,9,8,8,1,11,1,13,1,8,1,13,2,8,1,13,1,8,1,13,4,8,1,13,1,8,1,13,1,8,1,13,1,8,2,10,1,13,1,8,1,9,2,13,1,8,2,9,1,13,1,9,1,13,1,8,1,9,1,8,1,9,3,8,1,9,5,13,1,8,1,13,1,11,1,9,4,11,2,9,4,11,1,9,3,11,1,9,1,11,1,9,2,16,1,9,1,11,1,13,2,9,7,8,1,9,1,13,1,9,1,8,1,13,1,8,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,8,1,13,2,9,1,8,1,13,1,8,1,13,2,9,8,13,1,5,63,13,2,6,1,7,1,13,1,10,1,9,1,11,2,10,1,11,1,10,1,9,2,8,1,11,1,10,1,11,1,9,3,10,2,9,3,10,1,9,1,8,1,9,1,10,1,9,1,8,1,13,2,28,1,33,1,5,18,16,2,11,2,17,3,11,1,12,1,11,2,9,2,10,1,9,2,12,1,8,2,10,1,9,1,8,2,9,1,6,1,30,3,28,2,13,1,5,27,13,1,28,1,6,1,9,1,11,2,9,1,10,1,9,1,10,3,9,1,17,1,11,1,9,1,10,2,8,1,12,1,24,1,12,1,9,1,8,1,9,1,17,1,10,1,17,1,10,1,12,1,10,1,9,1,17,1,10,2,12,1,24,1,10,1,9,1,12,1,10,1,9,1,11,1,10,1,17,1,9,2,12,1,9,1,11,1,10,1,12,2,10,1,9,1,17,1,12,1,11,1,12,1,9,1,12,1,17,1,8,1,9,1,10,1,24,1,9,1,11,1,13,1,9,1,10,1,9,1,10,1,17,2,10,1,11,1,8,1,9,1,17,1,11,1,5,25,28,13,13,1,16,1,17,1,12,1,9,1,6,1,8,1,6,1,7,1,28,2,6,2,13,2,9,1,16,1,12,1,13,1,28,6,13,1,17,1,7,1,30,2,28,28,16,1,17,1,8,2,13,1,6,1,24,1,9,1,17,1,10,1,6,3,28,1,30,1,6,1,7,2,13,1,}, {28,1,30,1,6,1,7,1,9,1,8,1,29,1,6,2,28,1,6,1,13,1,24,1,13,1,28,34,30,1,28,1,30,1,28,1,30,1,28,1,7,1,8,1,13,1,24,1,12,1,15,1,12,1,28,1,30,1,29,1,28,2,30,1,6,1,10,1,24,1,6,3,30,1,8,1,6,1,13,2,6,2,7,1,8,1,6,1,13,1,29,1,30,2,13,1,9,2,15,1,17,1,15,1,17,1,9,1,8,1,13,2,24,1,17,1,12,2,11,1,10,1,12,1,17,2,11,1,6,1,28,25,13,1,8,2,24,1,9,2,13,1,6,1,30,1,6,3,28,1,29,1,8,1,17,1,16,1,17,1,11,1,8,2,13,1,24,1,8,1,24,1,8,1,9,1,10,1,9,1,16,1,11,1,14,1,8,1,30,2,28,2,30,1,28,2,30,1,28,6,7,1,17,1,16,3,11,1,9,1,16,1,10,1,16,1,11,2,16,1,9,1,11,1,9,1,11,1,16,2,17,1,16,1,17,8,10,1,24,1,8,1,24,3,6,1,24,1,8,1,24,1,8,1,24,1,13,1,8,1,24,1,13,1,8,1,7,1,6,1,7,1,30,1,7,1,30,1,29,2,28,1,6,1,28,1,30,1,28,9,7,1,24,1,12,1,17,11,9,1,17,1,12,1,10,1,24,1,10,1,9,1,24,4,10,1,12,1,24,3,11,1,17,1,10,1,11,1,17,40,10,1,17,1,9,1,24,1,8,1,9,2,12,1,8,3,24,1,13,1,8,1,7,2,25,3,6,1,7,1,6,1,7,1,6,2,29,1,28,1,29,1,30,2,28,1,6,2,29,1,28,4,30,1,28,37,30,1,28,3,30,1,28,1,30,1,28,7,30,1,28,15,30,1,28,2,29,1,30,1,29,1,28,1,30,1,29,1,28,1,30,1,28,5,30,1,29,1,25,1,6,1,30,1,29,1,28,2,29,4,28,1,30,1,29,1,13,1,30,1,25,1,28,1,26,1,7,2,6,1,7,2,30,1,13,2,6,2,7,1,6,1,29,1,6,1,28,1,29,1,6,1,30,1,6,1,28,1,29,2,28,3,29,2,28,1,29,2,28,1,29,1,30,2,29,1,28,1,6,2,30,1,29,1,6,1,30,1,29,3,6,3,8,1,7,1,28,1,6,1,8,1,7,1,13,1,8,1,24,1,6,1,13,1,6,1,8,3,6,1,8,3,13,1,7,1,13,4,6,2,30,1,28,5,30,1,29,1,30,2,28,1,6,1,7,1,30,1,7,1,29,2,13,1,6,1,13,1,6,1,13,3,24,2,8,2,12,1,9,1,24,1,8,1,9,1,13,1,7,1,28,1,29,1,6,1,24,1,8,2,29,1,6,2,30,2,13,1,6,1,7,2,6,1,7,1,13,1,11,1,17,3,12,1,17,4,12,1,16,1,11,2,17,8,12,1,17,1,12,1,10,1,17,1,12,1,17,1,11,1,12,1,11,1,16,1,10,1,12,1,17,1,12,2,11,1,12,2,9,1,10,1,17,2,12,1,17,1,12,1,9,1,17,1,9,2,17,1,12,2,17,1,24,1,17,2,9,1,12,1,17,1,12,1,10,1,12,1,17,2,11,1,17,12,8,1,28,7,30,1,28,6,29,1,28,1,6,1,28,1,30,1,28,35,29,1,30,1,6,3,8,1,13,1,24,1,9,2,17,1,11,1,12,1,10,1,12,1,10,1,12,1,9,1,12,1,9,1,11,1,9,1,12,1,11,1,8,1,9,1,11,2,9,1,11,3,16,2,11,1,16,2,11,1,9,1,11,1,16,3,9,1,11,1,9,1,11,1,9,3,11,1,8,1,9,2,13,1,9,1,13,1,9,2,8,1,13,1,9,1,11,1,13,1,9,7,10,1,9,1,8,1,11,1,9,4,13,1,9,3,11,2,9,1,11,1,9,1,13,1,8,1,13,1,9,1,10,1,8,1,9,1,8,1,9,3,11,1,9,2,11,1,9,2,11,2,9,2,11,1,9,2,11,1,9,1,11,1,16,2,13,1,9,1,11,1,9,7,11,1,9,3,11,1,9,2,13,2,9,2,13,4,8,1,13,1,11,1,9,1,13,1,8,1,13,2,9,2,13,1,8,1,9,1,13,1,8,1,9,1,13,2,9,1,13,1,8,1,9,1,13,6,9,2,8,2,9,2,13,1,8,1,9,2,30,1,9,1,13,1,9,2,13,1,9,1,8,1,13,3,9,1,13,2,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,10,1,13,1,9,2,10,1,13,2,8,1,13,1,9,1,13,6,8,2,13,1,9,1,8,1,13,2,9,1,13,3,9,1,13,1,8,1,13,1,8,1,13,1,10,1,9,1,8,1,9,1,8,1,9,1,13,1,9,2,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,2,11,1,9,1,11,1,9,2,11,1,9,1,13,1,9,2,11,3,9,2,10,2,11,1,9,2,11,1,9,1,11,3,9,1,11,1,9,4,11,3,9,1,11,1,9,1,16,1,17,1,9,1,11,1,10,1,11,1,9,2,8,2,9,2,13,3,9,2,28,1,6,1,33,54,5,387,33,2,5,20,33,1,13,2,16,1,17,2,11,2,10,1,9,5,10,1,9,4,11,6,10,1,16,2,11,3,16,2,11,1,16,3,11,1,16,1,11,2,16,3,9,1,16,1,11,1,10,1,11,1,16,2,9,1,13,1,29,1,28,22,30,1,28,14,30,3,28,1,30,1,28,1,30,1,7,1,28,2,6,1,28,1,30,1,28,3,13,1,9,3,13,1,6,1,30,1,7,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,6,2,29,1,7,1,13,1,8,4,13,2,9,4,13,1,9,4,10,1,11,1,16,1,11,2,16,1,11,3,16,4,9,2,11,2,16,1,11,1,9,3,10,1,11,1,9,1,11,1,9,1,10,3,11,8,17,1,11,1,28,4,29,1,6,1,8,2,13,3,6,2,13,2,8,1,28,1,30,2,28,4,30,2,28,1,30,2,13,1,28,1,29,1,7,2,13,2,7,2,9,4,8,1,9,1,11,1,10,1,8,1,9,1,13,2,6,1,13,2,30,1,13,1,6,2,30,1,29,1,30,1,28,1,6,1,7,1,6,1,13,1,7,1,6,2,30,2,7,1,28,1,29,1,13,1,9,1,6,1,30,1,6,1,29,1,6,1,13,3,30,1,13,1,9,1,11,1,16,1,11,1,16,2,17,1,16,1,11,1,13,4,6,2,30,1,13,1,6,1,13,4,9,1,13,1,9,2,13,1,9,3,13,3,6,2,13,1,6,1,13,2,30,3,6,1,28,6,30,1,13,1,5,38,6,1,9,3,13,2,9,1,13,1,8,2,9,1,11,1,13,1,9,3,13,1,9,9,11,1,10,1,11,3,9,1,10,1,11,1,10,1,11,1,9,1,11,1,9,7,11,1,8,1,9,3,8,1,9,2,8,1,9,1,13,2,8,3,13,1,8,1,13,7,9,1,8,2,13,1,9,1,13,1,8,2,9,1,13,1,9,2,13,1,10,1,9,3,13,1,9,1,13,1,9,4,13,1,9,2,8,1,9,1,13,1,9,1,8,1,9,2,10,1,9,4,10,1,9,5,11,3,9,2,11,1,9,1,11,2,10,1,13,1,9,1,8,1,9,4,13,1,9,1,8,4,13,4,8,1,9,2,8,1,9,3,13,1,9,3,13,1,9,1,13,1,9,2,8,2,13,2,9,1,13,1,9,1,8,1,9,2,13,1,8,1,9,2,5,65,6,2,7,1,13,1,9,1,10,1,9,2,11,1,9,4,11,1,10,3,9,2,11,1,10,1,9,1,10,1,11,1,9,3,10,1,9,2,8,1,9,1,8,1,30,1,28,1,5,20,11,1,16,1,17,1,11,2,10,1,11,2,10,2,8,1,13,1,8,1,9,1,8,2,13,1,9,1,13,1,11,2,13,1,6,1,28,1,30,3,5,31,30,2,13,1,8,1,10,1,9,1,10,1,9,1,12,1,9,1,10,1,12,1,11,1,10,1,9,1,10,1,9,1,24,6,8,1,24,1,12,1,10,1,12,1,9,1,10,1,11,1,9,2,12,2,10,1,9,1,11,1,17,1,12,1,11,1,8,1,10,1,17,1,9,2,12,1,17,5,9,1,11,1,9,1,12,1,17,1,11,1,12,1,10,1,9,1,10,1,8,1,9,1,8,1,10,1,12,1,11,1,9,1,10,1,9,2,11,1,12,1,17,2,10,1,17,1,13,2,5,24,28,13,6,1,17,2,16,1,9,1,7,1,8,1,6,1,30,1,28,2,30,1,13,1,8,1,24,1,9,1,16,1,10,1,6,1,28,6,9,1,17,1,13,1,30,1,28,2,30,1,28,26,9,1,17,1,8,2,13,1,6,2,9,1,12,1,9,1,6,1,29,1,28,3,6,1,29,1,13,1,8,1,}, {28,3,6,1,9,2,7,1,30,3,6,1,28,1,7,2,30,1,28,34,30,1,28,3,29,1,8,2,12,1,24,1,17,1,9,2,29,2,28,4,30,1,15,1,13,2,28,1,30,1,29,1,6,1,13,2,6,2,28,1,24,1,10,1,6,2,29,1,6,1,28,1,6,1,12,2,17,1,12,1,11,2,9,1,13,2,29,1,8,1,9,1,12,1,17,1,10,1,17,1,11,1,17,2,9,1,6,1,30,1,28,24,13,1,8,1,13,1,8,2,12,1,8,1,6,1,30,1,6,2,30,1,6,1,7,1,9,1,12,1,17,1,24,1,9,1,13,2,8,1,24,1,8,1,24,1,9,1,13,1,9,1,8,1,15,2,14,1,8,1,29,1,28,1,30,1,28,8,30,2,13,1,8,1,16,1,10,1,16,3,9,1,16,2,11,1,16,2,9,1,11,1,9,1,11,1,16,1,11,1,16,2,17,1,16,1,17,6,12,2,9,1,24,2,13,1,8,1,24,1,8,1,24,1,10,1,8,1,24,1,6,2,24,1,8,1,24,2,8,1,24,1,13,2,6,1,29,1,30,1,29,1,6,1,28,1,30,1,28,9,7,1,9,1,12,1,17,13,12,1,17,1,24,2,10,3,24,1,8,1,24,1,10,3,13,1,9,1,10,2,12,1,17,1,12,1,17,40,12,2,11,1,10,1,24,1,8,2,9,1,8,1,24,2,7,1,8,2,24,1,25,1,24,1,6,1,7,1,6,1,7,1,8,1,30,1,6,2,29,1,30,1,6,1,29,1,28,7,30,3,28,37,29,1,28,3,30,1,28,7,29,1,28,4,30,1,28,13,30,1,29,1,28,2,30,1,28,1,30,1,28,3,30,1,28,2,30,1,6,1,29,1,6,1,28,1,30,1,6,1,28,1,6,1,30,1,29,3,30,1,6,1,7,1,6,4,28,1,6,1,29,1,7,1,6,2,30,1,6,2,7,1,29,1,28,1,6,1,30,1,28,1,6,1,28,1,30,1,6,1,30,1,13,1,29,5,6,1,28,1,29,2,28,1,13,1,30,1,28,1,7,1,29,3,6,1,29,1,30,1,29,1,30,1,29,1,6,2,13,1,7,1,13,1,6,1,29,1,7,1,13,1,29,1,13,1,8,2,7,1,24,1,13,1,7,4,8,1,13,1,8,1,13,1,8,1,13,2,29,1,6,2,28,1,30,1,28,8,30,1,6,1,28,1,13,1,28,1,7,2,13,1,6,1,7,1,29,1,8,2,13,1,8,1,9,1,24,1,8,1,13,1,9,1,10,1,24,1,8,2,7,1,13,1,24,1,10,1,17,3,12,1,8,1,6,1,29,1,6,2,29,2,30,1,8,1,29,1,6,1,13,1,8,1,24,1,17,1,10,1,12,2,17,1,12,1,17,1,12,1,17,2,11,1,16,3,11,1,16,1,17,1,11,1,16,1,17,1,10,1,12,1,17,1,12,1,17,2,11,1,12,1,17,1,9,1,17,1,12,3,11,1,16,1,8,1,17,2,11,1,12,1,10,1,11,2,17,1,11,1,17,1,12,3,9,1,17,1,12,1,17,1,12,2,9,1,17,1,9,1,11,1,17,3,12,1,17,1,12,1,17,2,11,1,17,7,12,1,30,1,28,2,30,1,28,9,30,1,28,2,30,1,28,1,30,1,28,35,30,1,28,1,7,1,6,1,29,1,6,1,8,1,13,1,9,1,8,1,9,1,11,1,10,1,11,1,12,1,10,1,9,1,17,1,9,1,12,1,9,2,17,1,10,1,9,1,8,1,9,1,11,1,9,3,11,1,16,1,11,2,16,1,11,2,9,2,11,1,9,2,11,1,9,2,16,1,9,1,11,1,9,6,11,1,9,1,8,1,9,4,8,1,9,1,8,1,9,1,11,2,9,7,13,1,9,8,13,1,9,4,8,1,9,1,8,1,10,1,9,2,10,1,9,1,11,1,13,1,9,3,11,1,9,1,13,1,9,3,11,2,9,2,11,1,16,1,9,1,11,1,9,1,11,1,9,3,8,1,9,2,11,1,13,1,10,1,9,2,11,1,9,1,8,1,11,1,9,2,8,1,9,1,13,1,11,1,10,1,8,1,9,1,13,2,9,2,13,1,8,1,13,1,9,1,13,1,9,5,8,1,9,1,13,2,9,2,13,3,8,1,13,2,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,3,13,3,9,2,13,2,7,1,8,1,13,2,9,1,13,8,8,1,13,2,9,1,8,1,13,3,9,1,13,1,9,3,13,1,9,1,13,4,6,1,9,1,13,1,8,1,9,2,13,1,9,1,13,1,9,2,8,1,13,2,8,1,13,2,8,1,13,1,9,1,8,1,13,1,9,1,6,1,9,2,13,1,9,4,13,1,9,1,8,1,9,2,8,1,9,6,16,1,9,5,11,1,9,1,11,1,9,1,16,1,10,1,11,1,16,1,9,1,11,1,16,1,11,3,9,1,11,1,16,1,11,2,9,3,11,1,9,1,11,2,9,1,16,1,11,1,9,1,16,1,11,3,9,5,13,4,7,1,6,1,13,1,28,2,33,55,5,411,28,2,13,1,11,1,17,2,12,1,11,1,10,1,9,1,10,1,11,3,9,1,11,8,16,1,11,2,16,1,10,1,16,1,11,2,16,1,11,2,16,1,11,1,17,1,11,2,17,2,11,2,9,1,13,1,6,1,28,44,30,1,6,1,30,1,28,3,30,2,6,1,30,2,28,4,9,1,17,1,9,2,13,1,7,1,6,3,30,1,13,1,30,1,29,1,30,1,6,2,30,1,13,1,6,1,29,1,13,3,8,2,13,1,8,1,13,2,8,2,9,1,8,2,9,4,11,1,9,1,10,1,11,3,16,1,11,2,16,1,11,1,9,1,10,2,9,1,10,1,11,3,9,3,10,1,16,1,11,2,16,1,9,1,11,1,9,1,11,2,10,1,11,2,10,1,11,3,17,2,28,3,6,1,13,1,30,1,7,1,6,2,7,1,30,1,6,1,30,1,8,1,6,1,28,1,30,1,29,1,28,13,30,1,6,1,13,3,8,1,13,2,8,1,13,2,8,1,13,3,6,3,30,1,28,4,30,2,6,1,30,1,13,3,7,1,10,1,13,1,8,1,7,1,13,1,6,1,13,1,30,1,6,1,28,1,13,2,6,1,7,1,28,1,13,2,6,1,13,2,30,1,13,2,16,1,9,1,16,2,17,1,16,3,13,5,30,1,13,1,30,1,13,5,6,1,11,1,16,1,9,4,13,3,6,2,30,1,13,1,6,1,13,1,6,1,13,1,28,1,30,2,28,7,6,1,33,1,5,39,16,2,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,15,11,2,9,1,11,1,10,1,11,2,9,1,11,1,9,2,11,2,9,2,11,1,9,8,8,1,9,1,13,1,9,2,13,4,8,2,13,1,9,1,13,1,9,1,8,1,13,3,8,5,9,2,8,1,9,8,11,1,8,1,9,1,13,2,9,3,13,1,8,1,9,3,13,1,9,1,13,1,11,1,13,1,9,1,10,3,9,1,11,1,9,6,8,1,9,2,11,1,9,5,13,1,9,3,13,1,8,2,9,1,13,1,8,3,9,1,13,4,9,1,8,3,9,1,11,1,9,1,13,1,8,1,13,1,9,5,13,1,10,1,13,1,9,1,8,1,11,1,13,2,9,1,11,1,13,1,8,1,9,1,13,1,11,1,5,65,13,2,9,1,13,1,9,3,11,1,9,1,11,1,10,1,9,1,10,1,9,1,10,1,9,1,10,1,9,1,8,1,9,1,10,2,9,2,11,1,9,1,10,2,9,1,10,1,8,2,13,1,6,2,13,1,5,20,16,1,11,1,9,2,8,1,9,1,8,2,9,1,7,1,8,1,9,1,8,1,7,1,13,1,7,1,6,2,28,1,30,1,6,1,5,38,28,1,30,1,11,2,10,3,11,1,24,1,10,2,9,1,11,1,9,1,24,2,8,1,24,5,9,1,8,1,12,1,24,1,9,1,10,3,12,1,8,1,9,1,12,1,11,1,9,1,10,1,12,2,17,1,12,1,17,3,12,2,17,3,10,1,12,1,11,2,17,1,9,1,12,1,11,1,24,1,9,1,10,1,24,1,8,1,9,1,8,1,9,1,24,2,9,1,11,1,10,2,17,1,12,1,11,2,13,1,6,1,28,1,5,23,30,1,28,12,6,1,17,3,8,1,6,1,8,1,30,1,6,1,28,1,30,2,7,1,8,1,9,1,12,1,16,1,11,1,7,1,28,6,9,1,16,1,6,1,29,1,28,2,30,1,29,1,28,25,15,1,17,1,9,1,7,1,6,1,30,2,9,1,8,1,13,1,7,1,28,4,30,1,6,1,8,2,}, {29,2,28,1,29,1,17,2,6,1,30,1,29,1,28,1,30,1,29,1,24,1,6,1,29,1,28,35,29,1,28,1,30,1,6,1,30,1,9,1,8,1,24,1,11,1,15,1,24,1,6,1,30,3,28,2,6,1,24,1,7,1,6,1,29,1,6,1,7,1,28,1,8,3,29,1,28,1,13,1,9,1,8,1,6,2,30,1,28,1,7,1,9,1,17,1,10,1,12,2,16,1,9,1,13,2,7,1,8,1,17,2,12,1,17,1,10,1,12,1,17,2,11,1,13,1,28,15,29,1,28,8,30,1,6,1,9,1,24,2,8,1,16,1,13,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,11,1,12,1,10,1,11,1,13,1,8,2,13,2,8,1,7,1,13,1,8,1,24,1,13,1,12,1,9,1,14,1,13,1,29,1,30,1,28,8,30,1,28,3,6,1,10,1,11,1,16,1,11,5,16,1,11,1,16,4,9,1,16,3,11,1,17,1,16,1,17,8,9,2,24,1,8,2,24,1,8,1,24,1,8,3,24,1,8,3,6,1,24,2,13,3,7,1,30,1,7,1,6,1,29,2,6,1,30,1,28,6,30,1,6,1,24,1,10,1,17,17,12,1,10,1,12,2,9,1,24,1,9,1,10,2,9,1,24,1,10,1,9,1,24,1,10,1,17,1,12,1,17,42,11,1,10,1,24,1,8,2,24,2,13,1,8,2,6,1,24,1,29,1,8,1,7,1,8,1,7,1,8,1,7,1,6,1,13,1,6,1,30,1,7,1,29,1,30,1,28,1,30,1,29,1,30,1,28,2,30,1,6,1,30,1,28,5,30,1,28,35,30,1,28,6,30,1,6,1,28,16,30,1,28,2,30,1,28,3,30,1,28,3,30,1,28,1,29,1,28,2,30,1,29,1,30,1,29,1,30,1,28,1,30,1,6,1,28,1,6,2,29,2,30,2,7,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,6,1,29,1,7,1,13,1,6,2,29,1,13,1,6,3,30,1,13,1,29,2,7,1,29,1,13,1,28,1,6,1,28,1,29,1,28,1,29,1,28,1,29,1,6,1,30,1,6,1,28,1,29,1,30,1,28,1,6,3,30,1,28,1,6,1,30,1,13,1,29,1,6,1,13,1,7,2,8,1,7,1,13,3,24,1,8,1,7,1,8,1,24,2,13,1,8,1,24,1,13,2,29,1,13,1,6,1,7,1,13,1,29,1,7,1,13,1,7,2,28,5,6,1,30,2,28,1,29,1,6,1,29,2,13,1,6,1,29,1,6,1,7,1,6,1,29,1,6,1,7,1,24,2,9,1,8,1,24,1,8,1,24,1,9,1,24,1,8,1,24,1,8,1,13,2,8,1,12,1,17,1,12,1,17,2,12,1,11,1,6,1,29,1,6,3,30,1,29,2,7,1,13,1,6,1,30,1,8,1,24,1,11,1,12,1,17,5,11,1,12,1,16,1,17,1,16,2,11,1,17,1,16,1,12,1,17,1,16,1,17,2,12,2,17,3,10,1,16,1,11,1,10,1,17,1,16,1,17,1,9,3,17,1,11,1,12,2,17,2,12,2,17,2,10,1,17,2,9,1,10,1,12,1,17,1,12,1,17,1,11,1,17,1,11,1,12,1,11,1,16,1,17,1,12,2,17,10,13,1,28,5,29,1,28,9,29,1,30,1,28,37,29,1,28,1,30,1,7,1,13,1,8,2,10,1,24,2,9,1,24,1,10,1,9,2,10,1,11,1,9,1,10,1,17,1,12,1,9,5,11,1,9,3,11,1,10,1,9,1,11,1,9,2,16,1,9,4,13,1,9,3,11,1,9,2,13,1,9,1,13,1,9,3,13,2,8,2,13,1,8,1,13,1,11,1,9,7,13,1,9,6,8,2,9,3,13,1,9,2,11,1,13,1,9,2,8,1,11,2,8,2,13,1,11,1,9,1,10,1,9,6,8,1,9,1,8,1,13,1,9,1,8,1,9,2,11,1,9,1,16,1,9,1,10,1,16,1,11,1,9,3,13,1,8,1,9,4,10,1,9,1,11,1,9,9,8,2,13,2,9,1,13,3,9,3,13,1,9,2,13,1,9,1,8,1,9,1,13,2,9,1,8,3,13,2,8,1,9,1,13,3,9,3,13,1,8,3,13,1,8,2,13,1,9,1,13,4,9,1,13,3,11,1,13,1,9,1,13,2,8,1,30,1,9,1,13,2,9,1,13,2,8,1,13,1,8,1,9,2,13,2,8,1,7,1,13,3,7,1,8,1,13,1,9,1,13,1,8,1,13,1,9,3,13,2,9,1,13,1,9,2,13,2,8,1,13,1,9,1,13,1,9,1,8,1,9,2,13,1,9,4,13,2,9,3,13,1,8,1,13,1,9,1,13,1,9,1,13,1,9,2,11,2,9,2,11,4,9,1,11,1,9,1,11,1,9,1,10,1,11,1,16,1,9,2,11,1,9,1,11,3,9,2,16,1,9,2,11,2,16,4,11,3,16,1,11,2,16,1,9,5,13,1,8,1,6,2,13,4,28,1,33,55,5,413,6,1,28,3,13,1,9,1,16,1,17,2,16,1,11,4,16,1,11,1,16,1,11,1,16,1,11,1,16,1,10,1,16,1,11,1,16,1,9,1,16,1,17,9,16,1,11,1,9,1,7,1,30,1,28,47,30,1,28,1,6,1,28,2,6,1,30,1,29,1,30,1,6,1,29,1,30,3,28,2,6,1,17,1,9,2,8,1,7,2,6,1,7,1,6,1,13,1,7,1,13,1,6,1,29,1,7,1,6,2,7,3,13,3,8,1,9,1,8,1,9,2,8,1,13,1,8,1,9,7,11,2,16,2,11,2,16,2,9,1,8,1,11,2,10,2,11,4,9,1,11,3,16,1,11,3,9,2,10,2,11,2,10,1,16,1,9,1,11,3,17,2,28,4,30,1,7,1,9,1,29,1,13,2,6,3,13,1,29,1,28,4,6,1,28,12,29,1,30,1,6,3,13,3,6,1,13,1,30,1,13,3,6,1,7,2,9,1,6,1,13,1,30,1,6,1,13,1,6,1,13,1,6,1,8,1,7,1,29,1,6,1,28,1,13,1,30,2,6,1,30,1,28,3,6,1,9,1,13,1,8,1,6,1,28,1,13,1,6,1,13,3,6,1,13,2,11,1,16,5,17,1,11,1,9,2,13,4,30,1,13,1,6,1,13,4,11,1,9,3,16,1,9,1,13,1,9,2,13,1,30,1,13,2,30,1,6,1,30,1,13,2,28,1,30,1,28,9,6,1,33,1,5,39,16,4,10,2,11,1,10,2,13,1,8,2,10,1,8,1,9,4,11,1,9,1,11,1,9,1,11,1,9,2,16,1,10,1,11,1,9,1,16,1,11,1,9,1,11,3,9,1,11,1,10,1,9,1,11,1,9,2,8,1,11,1,9,7,13,1,9,1,8,5,13,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,8,3,9,1,8,2,9,3,8,1,9,2,10,1,9,1,8,1,13,1,8,1,9,1,10,1,9,1,8,1,9,3,8,1,9,1,13,1,9,1,13,1,9,1,16,1,10,1,9,1,10,1,9,3,10,1,9,2,10,2,9,1,11,1,9,2,11,1,9,3,11,1,10,1,8,1,9,2,8,1,13,2,9,3,8,2,9,1,13,1,9,1,8,1,13,1,8,1,13,4,9,1,13,1,8,1,13,3,9,2,8,1,9,2,8,3,9,1,13,1,9,1,13,1,8,1,9,2,8,1,9,1,8,1,9,4,5,67,13,3,8,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,11,3,9,2,11,1,10,1,9,7,11,1,10,1,9,2,8,3,6,1,13,2,5,21,9,1,11,2,8,1,13,1,9,1,13,1,9,1,7,1,13,2,30,1,6,1,30,1,28,1,6,1,5,42,33,1,28,1,13,1,9,1,11,2,10,1,9,1,10,1,11,1,9,2,11,1,9,1,24,1,9,1,8,1,24,6,9,1,10,1,9,1,12,3,10,1,9,1,10,2,12,1,10,1,12,1,10,1,17,2,10,1,17,1,12,2,17,2,11,1,12,5,11,2,17,1,10,2,17,1,10,1,9,1,24,2,10,1,24,2,8,1,24,2,9,1,10,1,24,1,9,2,11,1,10,1,9,1,13,1,28,2,5,22,28,14,14,1,17,1,12,1,24,1,9,1,8,1,7,1,30,1,28,1,30,1,28,1,13,2,9,2,17,1,12,1,6,1,28,5,30,1,11,1,16,1,6,1,29,1,28,3,6,1,28,25,17,2,8,2,6,1,28,1,29,1,24,2,8,1,29,1,28,5,29,1,6,1,8,1,}, {28,1,30,1,28,1,7,1,24,1,13,2,6,1,28,1,6,1,28,1,30,1,24,1,13,1,29,1,28,35,30,1,28,1,29,1,28,1,29,1,9,1,8,1,9,1,10,1,15,1,8,1,13,1,30,1,28,4,6,1,8,2,13,1,6,1,30,1,29,1,30,1,24,1,13,2,7,1,6,1,8,1,10,1,7,1,30,1,29,1,28,1,30,2,15,1,17,1,15,1,11,2,12,1,8,1,9,1,8,1,13,1,8,1,11,1,17,1,12,2,9,1,16,2,17,1,16,1,13,1,28,24,30,1,6,1,24,1,13,1,8,1,24,1,12,1,8,1,13,1,29,1,6,1,29,1,6,1,7,1,28,1,10,1,16,1,17,1,16,1,24,1,9,2,8,2,11,1,8,1,24,1,8,1,13,1,8,1,9,2,10,1,9,1,28,1,29,1,30,1,28,9,30,3,11,1,17,1,16,1,9,2,11,1,16,6,9,1,16,1,9,1,11,2,16,2,11,1,16,1,17,1,16,1,17,5,9,2,17,1,24,2,10,1,24,5,8,1,9,1,8,1,24,2,13,1,8,2,24,1,13,1,24,1,7,2,13,1,6,3,30,2,28,1,30,1,28,2,30,1,28,1,30,1,6,1,9,1,12,1,17,18,12,1,9,2,10,1,24,1,9,1,24,1,8,1,9,1,10,2,9,1,24,1,12,2,10,1,17,45,11,1,8,1,24,1,8,1,24,1,8,5,25,1,6,1,8,1,7,1,29,1,7,1,6,1,7,1,6,1,7,2,6,1,30,3,29,1,6,1,29,2,30,1,28,1,30,1,28,43,6,1,28,6,30,1,28,12,30,1,28,4,30,1,28,1,29,1,28,1,29,1,28,1,29,1,30,1,28,1,30,1,28,3,30,1,29,1,30,2,28,2,6,1,30,2,28,1,6,1,30,2,6,1,30,1,7,1,29,1,30,2,29,2,6,2,29,1,6,2,30,2,29,1,7,1,29,2,30,1,6,1,30,1,6,1,29,1,6,1,28,1,29,1,30,1,6,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,28,2,6,1,29,1,6,1,28,1,6,1,29,1,6,1,30,2,6,1,8,1,7,1,13,2,6,1,13,1,6,1,8,1,6,2,8,1,13,1,7,1,13,2,7,1,13,2,8,1,6,1,8,1,7,1,6,1,7,1,13,1,8,1,24,1,8,1,13,1,6,2,7,1,6,1,28,1,29,1,28,5,30,3,29,1,6,1,29,1,30,1,6,2,29,1,6,2,13,1,6,1,8,4,24,4,8,2,9,1,13,3,7,1,6,1,13,1,6,1,8,1,9,1,11,1,12,2,17,1,9,1,13,1,6,2,13,1,7,2,30,1,13,1,8,1,7,1,6,1,13,2,9,1,12,1,17,1,12,1,17,6,16,3,12,1,17,4,12,1,16,1,17,1,16,1,17,2,9,1,17,2,11,1,17,4,16,1,9,1,11,1,17,2,11,2,12,1,9,1,17,5,11,2,9,1,17,1,12,3,17,2,11,1,17,2,11,1,17,3,12,1,17,8,16,1,17,2,6,1,28,1,30,1,28,1,30,1,28,49,30,1,6,2,7,1,13,2,24,1,9,1,8,1,24,1,12,1,10,6,12,1,9,1,10,1,17,1,11,1,9,1,16,1,9,1,8,1,11,1,9,1,30,1,13,3,9,3,10,1,9,1,11,1,9,6,13,1,11,1,9,6,13,2,9,1,13,9,8,2,9,1,13,1,7,1,9,1,13,2,9,2,13,1,9,4,8,1,9,2,13,1,11,1,8,1,9,1,13,1,9,2,13,2,9,6,13,2,9,2,11,1,8,2,13,3,8,1,13,1,16,1,13,1,8,1,9,1,10,1,11,1,13,1,11,1,17,1,9,1,11,1,13,2,9,2,11,1,9,3,16,1,9,1,10,1,11,1,13,1,11,1,9,1,10,1,9,1,8,2,9,4,13,1,8,2,9,1,13,2,8,1,13,1,9,1,13,3,9,2,13,1,9,1,13,1,9,2,13,2,9,1,13,1,9,1,13,3,9,1,7,1,9,2,13,1,8,1,13,2,9,2,13,2,9,1,11,1,9,1,13,3,9,2,13,1,9,1,13,1,8,1,13,2,9,1,13,1,8,1,13,9,8,1,9,2,8,1,13,1,9,1,13,5,8,1,13,1,8,1,13,1,8,1,13,1,8,2,9,1,13,6,9,3,13,1,10,1,9,2,13,1,9,2,13,2,9,2,13,1,8,1,13,4,9,3,8,1,9,4,10,1,9,2,8,1,16,1,9,1,11,1,9,1,11,1,9,1,11,6,16,1,11,7,10,1,11,1,9,1,11,2,16,2,9,1,17,1,11,2,16,2,11,2,9,1,11,1,10,1,11,1,9,3,13,6,30,1,6,1,33,56,5,415,33,1,6,1,28,4,13,1,11,1,16,1,11,1,16,2,17,17,16,1,5,4,13,1,28,49,30,1,28,2,30,1,6,1,28,1,30,2,28,2,29,2,30,2,28,1,30,1,29,1,28,1,6,1,17,1,9,1,8,2,7,1,29,1,30,1,6,2,7,1,6,3,7,1,6,3,13,4,8,1,13,2,8,2,9,1,8,2,9,5,8,1,9,2,11,1,9,1,16,2,9,1,11,1,16,1,10,1,11,1,16,3,11,3,9,4,11,4,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,3,16,1,11,3,9,1,17,2,28,4,30,1,13,2,7,1,30,1,29,1,7,1,30,2,7,1,30,1,7,1,29,1,30,2,28,2,30,1,28,9,30,1,28,3,6,1,28,1,7,1,29,1,7,1,13,1,6,1,7,2,6,1,7,1,6,1,7,1,6,1,28,1,6,2,7,1,6,1,13,4,8,1,6,1,30,1,28,2,30,1,28,6,6,1,17,1,6,1,8,1,13,1,30,2,13,2,30,4,28,1,13,1,11,1,16,4,17,1,16,1,11,1,16,1,9,1,8,1,13,1,9,1,13,1,6,1,30,1,13,3,30,1,13,2,8,1,13,1,11,1,9,3,11,1,9,1,13,3,28,1,6,1,13,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,28,8,13,1,30,1,13,1,5,39,16,2,17,1,11,4,9,10,11,1,9,1,11,3,16,1,9,1,11,1,9,1,11,2,9,1,11,1,9,3,11,3,9,4,10,1,9,3,13,1,11,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,8,1,13,3,8,3,13,1,8,3,9,1,8,1,9,1,8,1,9,2,11,1,9,3,10,1,13,1,9,1,11,1,9,3,8,1,9,1,13,1,9,1,10,1,8,1,13,1,9,4,11,1,9,1,11,1,9,3,8,1,9,1,10,1,9,1,11,1,9,2,10,1,9,1,11,2,13,1,9,3,10,1,8,1,9,1,8,1,13,1,8,2,13,1,8,1,13,2,8,1,13,1,8,2,13,3,8,1,13,2,9,1,13,3,8,1,9,1,13,1,8,1,13,1,9,7,13,1,9,3,13,1,9,1,8,1,9,2,8,2,9,3,5,67,9,3,17,1,10,1,9,1,11,1,9,1,10,2,11,1,10,1,9,1,10,1,11,1,9,2,10,1,9,1,8,1,9,2,8,1,9,1,10,2,9,1,8,1,11,1,9,1,13,3,9,1,13,1,5,22,13,1,30,1,6,2,28,4,30,2,28,1,5,1,33,1,5,46,13,1,6,1,17,1,11,2,9,1,10,1,8,1,12,1,10,1,24,1,9,2,24,1,9,1,24,2,12,1,10,2,13,1,10,3,9,1,11,1,17,1,11,1,9,1,10,1,17,1,12,1,9,2,12,1,11,1,12,1,17,1,12,1,17,4,12,1,17,1,11,1,12,1,17,7,12,1,10,1,11,1,12,1,24,1,9,1,13,1,24,1,8,1,24,1,13,1,8,1,13,1,24,1,9,2,11,1,9,1,17,1,13,1,28,2,5,21,28,13,6,1,17,2,11,1,8,1,13,2,6,1,28,2,30,1,28,1,13,2,8,1,9,1,12,1,17,1,6,1,28,5,30,1,16,2,8,1,29,1,28,29,14,1,12,1,8,1,9,1,6,1,29,1,6,1,10,1,24,1,6,2,28,4,30,1,28,1,13,1,8,1,}, {30,1,28,2,30,1,8,1,24,1,13,1,6,5,13,1,8,1,6,1,28,4,30,1,28,30,30,1,29,1,30,1,13,1,8,2,10,1,8,1,24,1,14,1,9,1,6,1,28,1,6,1,28,3,30,1,12,1,8,1,28,1,6,1,28,1,7,1,29,1,7,1,8,1,6,1,13,1,29,1,8,1,24,1,13,1,7,1,29,2,28,1,6,1,12,1,9,1,11,1,9,1,10,1,12,1,10,1,24,1,9,1,13,1,8,1,11,1,12,1,17,1,9,1,12,1,9,2,17,1,16,1,13,1,28,16,30,2,28,1,30,1,28,5,7,1,9,1,24,1,9,1,8,1,17,1,9,1,6,1,30,1,6,1,29,1,6,1,29,1,6,1,13,1,17,1,16,1,17,1,11,1,9,3,12,1,9,1,15,1,9,2,24,1,9,2,15,2,9,1,28,1,29,1,28,1,30,1,28,10,13,1,17,1,9,1,16,1,9,1,17,1,9,1,16,5,9,1,16,1,9,1,11,1,16,2,17,1,16,1,17,3,16,1,17,7,8,3,13,1,10,1,8,1,24,1,9,1,24,1,7,1,12,1,8,1,13,2,8,1,9,1,8,3,24,2,9,1,8,1,29,1,7,1,6,1,7,1,29,1,6,2,30,1,28,1,30,2,7,1,24,1,9,1,12,1,17,1,12,1,17,5,12,1,17,10,12,1,10,1,12,2,24,2,8,1,10,1,12,1,24,1,10,1,24,1,9,2,12,1,17,3,12,1,17,42,12,1,10,1,24,1,10,1,8,1,7,1,8,1,13,1,7,1,8,1,6,1,7,1,8,2,25,1,13,1,7,1,13,1,7,2,29,1,6,1,29,2,6,1,29,1,30,2,29,1,28,1,29,1,28,1,30,2,28,41,29,1,28,4,29,1,28,6,30,1,28,7,30,1,28,3,30,2,28,1,29,1,28,1,30,1,6,1,29,1,28,1,29,1,28,2,30,1,28,1,29,1,28,1,29,1,28,1,29,1,30,2,28,1,30,1,28,1,30,3,29,1,6,4,29,2,6,1,30,1,29,1,30,1,29,1,6,2,13,1,6,1,30,1,29,1,7,1,30,1,7,1,6,2,13,2,6,1,30,1,6,1,28,1,6,2,30,1,6,1,13,1,6,1,13,1,6,1,7,1,29,1,30,1,28,2,29,1,28,1,6,1,13,1,30,1,6,1,30,1,29,2,6,3,24,1,8,1,13,1,8,2,6,1,7,1,6,1,8,2,7,1,8,1,6,1,24,1,13,2,8,2,13,2,7,1,13,1,6,2,30,1,28,1,30,1,29,1,28,3,29,1,28,2,30,3,6,1,30,2,6,1,28,1,30,1,6,1,13,2,7,1,8,4,10,1,9,1,8,1,9,1,12,1,9,1,13,1,8,1,24,1,8,1,13,1,30,1,6,2,29,1,6,1,9,1,13,2,8,1,17,2,12,1,17,1,6,4,30,1,29,2,8,1,13,2,6,2,8,1,9,1,12,1,17,3,16,1,17,3,11,1,17,2,16,4,17,1,9,1,17,1,16,1,12,1,16,1,17,1,10,1,17,1,9,1,16,2,11,1,17,1,9,1,17,1,11,1,9,1,17,2,12,1,11,1,10,1,9,1,10,1,17,3,9,1,11,1,10,1,12,1,17,1,12,1,17,1,12,1,17,2,9,1,11,2,17,1,11,1,12,2,17,1,12,1,17,9,11,1,28,2,30,1,28,2,30,1,28,8,30,1,28,1,30,1,28,37,6,3,7,1,8,1,24,1,13,1,10,1,8,2,12,1,9,5,12,1,9,1,17,1,12,2,10,1,9,1,10,1,9,1,11,2,13,1,30,1,28,3,30,1,6,1,13,6,9,1,8,1,13,2,9,1,10,1,9,2,13,1,11,1,8,1,13,1,9,1,11,1,13,1,8,1,11,1,8,1,9,1,13,1,6,1,13,2,29,1,13,2,6,1,13,3,8,1,9,1,13,1,7,1,13,3,6,1,13,6,9,3,13,1,9,2,13,1,8,1,9,1,11,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,2,8,1,9,2,8,1,9,4,8,1,9,1,8,1,11,2,9,1,8,1,13,1,9,1,10,1,9,1,11,2,9,2,11,1,9,5,11,1,10,1,9,3,8,1,16,1,13,4,9,1,8,1,13,1,8,1,13,1,9,2,13,1,9,2,13,1,9,1,13,1,9,1,13,3,9,2,8,1,13,1,8,2,9,1,13,2,8,1,13,1,9,1,13,3,9,1,13,1,8,2,13,1,9,1,16,1,10,1,9,1,13,1,7,1,9,1,13,2,9,1,13,1,8,1,13,2,9,1,8,1,9,1,8,1,13,2,7,1,13,2,8,1,13,2,9,1,7,1,13,1,9,1,13,2,9,1,13,1,8,1,9,1,13,2,9,1,13,2,8,4,9,1,13,1,8,1,9,2,13,1,9,1,8,1,13,1,8,1,9,2,13,2,8,1,9,1,8,1,9,1,8,2,13,1,9,1,13,2,9,1,13,1,9,8,8,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,4,9,1,11,2,16,1,17,1,16,1,11,1,16,1,11,2,16,1,9,1,11,1,10,1,11,2,16,1,9,1,16,1,11,2,17,1,11,1,17,1,11,2,9,3,11,1,9,3,13,3,6,1,13,1,28,2,33,56,5,422,9,2,5,26,33,2,13,1,28,32,29,1,28,8,30,1,28,6,6,1,28,4,30,1,28,2,6,1,29,1,28,1,6,1,28,1,29,1,28,2,30,1,28,1,9,1,17,1,12,1,8,1,9,1,7,1,6,1,8,1,13,1,6,1,13,2,6,1,7,1,6,3,13,1,8,1,13,4,8,4,9,1,10,1,8,1,9,6,11,1,10,1,11,1,16,1,11,1,16,2,17,1,11,1,17,1,16,1,11,3,9,2,11,2,9,2,16,1,11,3,9,1,11,2,9,4,10,1,9,1,16,1,9,1,11,4,9,1,17,2,28,4,30,2,13,1,7,1,28,1,29,1,6,1,13,1,28,1,7,1,6,1,13,2,6,2,13,1,29,1,30,1,28,10,30,1,6,1,7,1,29,1,6,1,7,1,30,1,24,1,29,1,7,1,30,1,7,2,28,1,30,1,28,3,6,1,30,2,28,1,6,3,7,1,13,1,6,1,29,2,28,1,30,1,28,3,30,1,28,1,30,1,7,1,13,1,9,1,6,1,30,1,29,1,28,1,6,1,13,1,6,1,13,2,6,1,30,1,6,1,16,2,17,4,16,2,11,1,16,1,13,3,8,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,9,1,6,1,9,2,11,2,13,1,9,2,13,3,28,1,13,1,30,1,13,1,30,1,6,1,13,1,30,1,6,2,28,10,30,1,13,2,5,39,16,3,11,1,16,2,11,1,16,2,8,2,9,1,13,1,9,3,10,2,9,2,16,1,11,3,10,1,11,1,9,2,11,2,9,2,11,1,10,1,9,1,10,1,9,2,11,1,9,2,8,1,9,2,13,1,9,1,13,1,9,7,8,1,9,2,8,2,9,2,13,1,8,1,13,1,10,1,8,1,10,1,11,1,9,5,11,1,9,1,11,1,9,9,10,1,8,1,9,2,13,1,9,4,10,1,9,2,8,1,9,4,11,1,9,2,10,1,9,2,11,2,13,2,8,1,9,1,8,1,13,1,8,2,13,4,7,1,8,1,13,2,8,1,13,2,9,1,13,4,8,1,9,1,7,1,13,1,8,1,9,1,8,1,9,2,10,1,9,2,8,1,9,2,13,1,8,2,9,11,33,2,5,66,9,2,17,1,9,3,11,1,9,2,10,3,9,2,10,1,9,1,10,2,9,1,13,1,9,2,10,1,9,1,10,1,9,3,8,1,13,1,6,1,13,3,5,26,28,3,5,53,13,2,16,1,9,2,12,3,9,2,10,1,24,1,10,1,9,1,24,1,8,1,24,1,10,1,12,2,10,1,9,1,17,1,10,1,24,1,11,1,24,1,9,3,12,1,11,1,17,1,9,1,17,1,11,1,17,1,11,1,12,1,9,1,17,1,12,1,11,3,12,1,9,1,17,2,12,1,17,4,12,1,10,1,11,1,13,1,8,2,24,1,13,1,8,1,24,2,8,3,12,1,11,1,9,2,11,1,6,1,13,1,5,20,30,1,28,12,24,1,17,2,10,2,8,2,7,1,6,2,29,1,28,1,13,1,8,1,9,2,17,1,16,1,30,1,28,5,30,1,11,1,17,1,13,1,28,4,30,1,28,25,14,1,10,1,8,1,13,1,6,1,30,1,6,1,10,1,12,1,13,1,28,7,6,1,9,1,}, {30,1,28,2,29,1,13,1,8,1,7,1,30,1,7,1,6,1,30,1,28,1,13,1,24,1,28,36,29,1,30,2,28,1,6,1,13,2,9,1,13,1,14,1,8,1,13,1,28,1,6,1,28,1,30,1,28,1,29,1,8,2,6,2,28,1,29,2,30,1,13,1,8,1,6,1,7,1,13,1,24,1,13,1,6,2,30,2,13,1,8,1,15,1,16,1,9,2,8,1,9,1,8,1,9,1,24,2,10,2,17,3,9,1,24,1,14,2,7,1,28,18,30,1,28,6,6,1,12,1,9,3,11,1,10,1,6,3,29,1,30,2,6,1,24,1,10,1,17,2,12,1,16,1,12,1,11,1,24,1,11,1,10,2,12,1,11,1,24,1,9,1,15,1,14,1,9,1,6,1,30,1,28,1,30,1,28,9,29,1,6,1,10,1,9,1,11,1,9,1,11,1,16,2,11,1,16,4,11,1,17,1,16,4,17,1,16,1,11,1,16,1,11,2,17,6,16,1,10,1,8,1,24,1,11,1,7,1,13,1,10,1,24,2,10,1,8,1,10,1,24,2,13,1,8,1,24,2,8,3,24,1,8,1,13,1,6,1,7,1,29,1,30,1,7,1,6,2,13,2,24,1,10,1,12,1,17,20,9,1,12,2,9,3,10,1,9,1,24,1,12,1,10,2,12,1,10,1,17,48,9,1,8,1,24,1,8,1,24,1,7,1,13,1,8,1,13,1,8,1,24,1,13,1,7,1,13,1,29,1,8,1,6,2,7,1,25,1,30,1,6,2,30,1,6,3,28,1,7,1,6,1,29,1,6,1,30,1,28,39,30,1,28,5,29,1,28,1,29,1,28,1,29,1,28,3,30,2,28,5,29,1,28,2,30,1,28,1,30,4,28,1,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,7,1,30,1,29,1,30,2,13,1,28,2,30,1,29,1,6,1,13,1,6,1,28,1,13,1,30,1,6,1,7,2,30,1,7,1,28,1,7,1,30,1,13,1,6,3,30,1,7,1,29,1,7,1,29,2,7,1,6,1,7,1,6,1,28,1,30,1,29,1,28,1,29,1,30,1,13,1,30,1,6,1,30,1,29,1,30,1,6,1,28,1,30,1,29,1,7,1,8,1,6,1,30,1,29,1,6,1,8,1,6,1,8,1,6,1,29,1,13,1,8,1,6,1,7,1,8,1,7,1,8,1,13,1,24,1,8,1,7,1,8,3,13,1,24,1,13,2,24,1,29,1,7,1,6,1,13,1,30,1,28,2,29,1,28,1,30,4,29,1,30,1,28,1,30,1,29,1,28,1,30,1,6,1,29,1,24,1,13,1,6,1,8,2,13,1,8,1,13,1,9,1,8,1,12,1,10,1,12,2,9,3,24,1,6,1,7,1,28,1,6,2,13,1,6,1,28,1,30,1,29,1,8,1,17,3,11,1,13,1,7,2,6,1,28,1,6,1,8,1,30,1,6,1,7,1,6,1,13,1,8,1,9,1,10,1,11,1,17,2,12,1,17,2,16,1,12,1,9,1,16,1,11,1,17,2,10,1,17,2,16,1,17,1,16,1,12,1,17,1,9,1,11,1,17,1,12,1,17,2,10,1,17,2,11,2,12,1,9,1,12,1,17,1,12,1,17,6,12,1,11,1,9,1,17,5,11,1,12,1,17,1,11,2,17,1,16,1,17,8,16,1,17,2,6,1,7,1,28,13,30,1,28,38,6,3,13,1,6,1,13,1,9,1,24,2,9,2,10,1,17,2,12,3,10,1,11,1,9,1,12,1,13,1,10,1,17,1,9,2,17,1,13,1,6,1,30,3,6,2,28,3,30,1,13,1,6,1,30,1,6,1,29,1,13,3,6,2,13,1,6,1,13,1,6,1,13,4,6,2,28,1,6,2,13,1,6,2,30,1,6,2,13,1,30,2,6,1,7,1,13,1,6,1,8,1,13,4,9,1,13,1,7,1,13,3,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,11,1,9,3,13,1,9,3,13,2,9,2,8,1,10,1,9,2,10,1,13,1,9,3,8,1,11,2,9,1,11,1,9,2,13,1,8,1,11,1,9,6,11,1,13,1,9,3,11,1,9,1,11,1,9,4,13,1,9,1,13,3,9,2,13,1,9,1,8,1,13,1,8,1,13,1,9,3,8,1,9,1,10,1,9,3,13,1,9,4,13,2,8,1,13,2,9,1,13,1,9,1,13,3,9,1,8,2,13,2,7,2,13,3,8,1,9,1,13,5,9,1,8,1,7,1,9,1,13,16,8,1,6,1,13,1,9,1,13,1,9,1,8,2,9,1,8,1,13,1,8,1,13,2,8,1,9,1,13,1,8,2,30,1,13,2,6,1,13,1,9,1,13,1,9,1,13,1,8,1,11,1,8,1,9,1,13,3,9,1,13,2,8,1,9,2,11,1,9,2,13,1,11,2,16,1,10,1,11,1,16,1,9,1,11,1,9,4,11,1,16,1,9,1,11,3,16,1,11,1,9,2,16,3,11,4,9,1,16,1,11,1,16,1,11,1,16,5,11,1,16,1,10,1,9,6,13,1,9,2,13,2,30,1,6,1,33,57,5,454,28,30,29,1,28,1,30,1,28,7,6,1,30,1,28,5,29,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,29,2,28,4,8,1,12,1,9,1,8,1,13,1,24,1,8,1,13,1,6,3,13,5,9,1,13,1,8,1,13,1,9,2,8,1,13,1,8,1,9,4,11,1,8,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,11,1,17,1,16,3,17,1,16,3,11,2,17,1,11,2,10,1,11,1,9,2,10,1,11,1,9,1,11,2,9,4,11,1,10,1,16,1,11,1,9,1,11,6,17,1,13,1,28,4,6,1,30,1,28,1,30,1,7,1,6,2,7,2,30,1,7,1,6,1,7,1,28,14,30,1,28,2,6,2,7,2,13,1,7,2,6,1,28,1,30,1,28,1,29,1,28,3,30,2,28,3,30,1,13,1,7,1,13,1,8,1,7,1,6,1,28,10,30,2,7,1,29,1,28,1,13,1,30,1,13,1,30,1,6,1,30,2,13,2,9,2,16,1,11,1,16,3,11,1,9,1,13,2,9,1,13,3,30,2,6,1,13,1,6,1,13,1,9,2,13,1,9,1,11,1,16,1,13,5,6,1,30,1,28,1,30,2,6,2,30,1,13,1,28,1,6,1,28,1,30,1,28,9,6,1,30,2,13,1,6,1,30,1,6,1,13,3,30,1,6,4,28,2,6,1,28,12,13,1,5,13,16,1,11,1,16,1,11,1,16,1,17,1,9,4,11,1,9,4,11,1,9,1,11,1,10,1,16,1,11,1,9,1,11,2,16,1,9,1,11,2,9,3,11,1,9,9,10,1,9,3,8,1,13,1,9,3,8,1,13,1,8,2,9,1,13,1,8,1,9,3,8,1,9,1,8,1,10,2,9,1,10,2,9,3,8,1,10,1,9,1,13,1,8,1,9,2,8,1,9,3,8,2,9,2,10,1,11,1,9,2,11,1,8,1,9,4,11,2,10,1,9,4,11,1,10,1,9,2,13,1,8,1,9,1,13,1,9,1,13,6,8,1,13,1,9,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,9,1,13,1,8,1,13,3,8,1,9,1,8,1,13,1,8,1,13,1,8,1,9,1,8,2,13,1,8,1,13,1,8,2,9,1,8,3,9,1,13,1,8,1,9,2,13,1,33,2,5,66,9,1,16,1,17,2,10,1,11,1,9,1,11,1,10,1,9,1,11,1,9,4,10,1,11,1,10,1,9,6,10,1,9,2,8,1,13,1,7,1,30,1,13,2,5,83,33,1,9,1,16,1,11,1,10,2,9,2,10,1,12,1,9,1,12,1,24,1,9,1,8,4,9,1,24,1,9,2,17,1,12,1,9,1,12,1,9,1,10,1,12,1,11,1,12,1,17,1,12,2,16,1,17,1,9,1,12,1,17,1,12,1,10,1,9,1,10,1,12,1,13,1,10,1,8,1,10,1,12,1,17,7,12,1,10,1,8,2,13,1,8,1,13,1,9,1,13,1,9,1,24,1,9,1,11,1,12,1,9,1,11,2,30,1,5,20,6,1,30,1,28,11,13,1,17,2,16,1,13,1,8,2,13,1,6,1,28,1,6,2,8,1,13,1,8,1,9,1,17,1,9,1,6,1,28,5,30,1,17,1,11,1,13,1,7,1,28,29,9,2,8,2,6,1,30,1,13,2,8,1,30,1,6,1,28,4,30,1,28,1,13,2,}, {28,3,6,1,7,1,9,1,13,2,6,1,7,1,28,1,29,1,13,1,8,1,29,1,28,38,29,2,8,1,13,1,8,1,9,1,17,1,12,1,6,1,13,1,30,1,28,4,13,2,29,1,28,1,29,1,30,1,6,1,13,1,6,1,8,1,7,1,30,1,8,1,24,2,13,1,28,1,13,1,6,2,8,1,10,1,16,1,9,1,11,3,10,1,8,1,24,1,13,1,11,1,17,5,16,1,14,2,13,1,30,1,28,23,29,1,24,1,8,1,24,1,9,2,10,1,11,1,7,2,6,1,29,2,6,1,30,1,6,1,17,3,12,2,9,1,11,1,9,1,8,1,24,1,10,1,9,2,8,1,9,1,11,1,14,1,9,1,6,1,30,1,29,1,28,5,30,1,28,5,30,1,8,1,11,3,16,5,9,1,11,2,16,1,11,3,16,3,11,1,16,2,10,1,16,2,17,6,16,1,12,1,24,1,11,1,17,1,8,1,9,1,12,1,24,1,8,1,12,1,8,1,12,1,24,1,8,1,10,1,8,2,10,1,7,1,24,1,8,2,7,1,8,1,7,1,13,1,7,1,8,1,7,2,13,1,24,1,12,1,10,1,17,23,12,1,17,1,12,1,17,1,24,2,10,1,12,1,24,1,9,1,12,1,9,1,17,47,16,1,17,2,10,1,12,1,8,1,13,2,24,1,13,1,8,1,13,1,8,1,7,1,8,1,13,1,7,2,6,1,7,2,25,1,29,1,6,1,13,1,6,2,29,1,6,1,29,1,6,1,29,1,30,1,29,1,30,2,28,1,30,2,28,29,30,1,28,18,30,1,28,6,30,1,28,1,30,2,29,1,28,1,30,3,6,1,28,4,30,3,28,1,30,1,28,1,30,1,29,1,6,1,29,2,28,1,6,1,30,1,6,3,29,1,6,1,7,1,6,2,8,1,29,2,30,1,29,1,6,1,29,1,6,1,30,1,7,1,6,2,28,1,6,2,29,2,6,1,29,2,7,1,29,1,6,1,30,1,6,1,29,1,6,1,29,1,7,2,6,1,29,1,6,1,29,1,6,1,13,1,30,1,29,1,6,1,29,1,30,1,6,1,8,1,29,1,24,1,29,1,6,2,13,1,8,1,6,1,13,1,8,1,7,1,8,1,24,1,7,1,8,1,13,2,6,1,7,1,13,2,24,1,29,1,8,1,6,2,8,1,6,2,30,2,28,1,7,1,28,1,30,1,29,1,13,1,30,1,28,1,30,1,28,2,29,1,28,1,6,1,28,1,29,1,13,1,6,1,8,2,6,1,13,1,10,1,13,1,9,2,10,1,24,1,9,1,10,1,9,2,10,1,9,1,8,1,9,1,7,1,6,1,7,1,6,4,28,2,6,2,10,1,17,2,11,1,9,2,24,1,13,1,7,1,13,1,8,1,13,1,24,1,8,1,13,1,6,1,24,1,10,1,12,1,9,1,17,1,12,1,17,1,16,1,17,2,16,1,17,1,12,1,17,2,16,1,17,1,16,1,12,1,17,1,11,1,12,2,11,2,12,1,11,1,12,1,17,1,12,1,17,1,12,1,16,3,11,1,17,1,12,1,17,2,11,1,12,1,17,1,11,1,17,4,10,1,17,1,9,1,17,6,11,1,17,4,16,1,17,9,13,1,28,14,30,1,28,38,30,1,6,2,7,1,6,1,8,2,24,1,8,1,24,1,12,1,24,1,17,2,10,2,8,1,11,1,10,3,8,1,12,1,9,2,11,1,10,1,9,4,8,1,9,1,13,1,8,1,13,4,6,1,29,1,13,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,7,1,28,1,6,1,28,3,30,1,13,1,6,2,28,1,6,1,13,1,6,2,7,1,6,3,13,8,30,1,13,1,6,1,13,4,9,1,8,1,13,2,9,4,8,1,13,1,9,1,13,1,9,3,13,1,10,1,9,1,13,1,9,3,11,1,13,1,9,1,11,2,9,1,16,1,9,3,13,1,9,8,11,1,9,4,11,1,10,1,9,2,8,3,13,2,11,1,13,1,9,3,13,4,11,1,13,2,8,1,9,4,8,1,9,3,13,2,8,1,13,1,9,1,13,1,9,1,16,1,13,1,9,1,8,2,13,1,7,1,13,1,9,1,13,2,9,1,13,1,9,1,13,4,9,1,13,5,9,1,8,1,13,1,8,1,9,1,13,2,9,1,13,2,6,1,9,1,13,1,8,1,13,2,8,1,13,2,9,1,8,1,13,1,8,1,9,1,11,1,9,2,13,1,9,2,13,1,9,3,8,1,13,3,9,1,7,1,13,1,9,1,13,3,9,3,8,1,9,1,13,3,11,1,13,2,8,1,13,1,9,1,8,1,13,1,9,5,11,2,8,1,9,3,10,1,11,1,16,1,11,5,9,4,11,1,9,1,11,1,9,1,11,4,16,4,11,1,10,1,9,1,16,1,9,1,16,1,17,1,16,2,11,5,9,4,13,1,8,1,13,1,6,1,30,1,33,58,5,456,28,31,13,1,30,1,28,5,13,1,6,1,28,7,30,1,6,1,28,5,30,2,28,1,30,1,6,1,28,1,6,1,28,3,10,1,9,1,8,5,13,7,8,4,9,1,13,2,9,2,8,1,10,1,9,1,10,1,8,1,9,5,10,1,16,2,11,1,16,1,11,1,17,1,16,1,17,1,16,2,11,1,16,1,11,3,10,1,11,2,9,3,10,1,9,3,11,2,8,1,11,1,9,4,11,1,9,1,11,1,9,1,11,2,10,1,17,2,29,1,28,4,13,1,28,1,29,1,7,1,29,1,30,1,28,1,29,1,7,1,6,1,7,1,8,1,6,2,28,5,30,1,28,6,30,1,28,4,6,1,13,1,7,1,13,3,30,5,6,1,30,4,28,1,7,1,30,1,7,2,6,1,28,1,29,1,7,3,28,5,6,1,30,1,28,1,29,1,30,1,6,2,28,1,6,1,28,1,6,2,13,1,6,1,30,1,6,1,28,1,13,1,16,6,17,1,16,1,9,2,11,1,9,1,13,4,6,1,13,4,9,1,13,2,9,2,11,1,9,1,13,2,9,1,8,1,6,1,13,1,28,1,6,1,30,4,28,1,30,1,6,1,28,1,30,2,28,9,30,1,6,1,13,1,6,4,30,1,6,2,13,1,28,18,6,1,5,3,33,1,5,9,16,3,17,1,16,6,9,1,13,1,9,2,11,5,16,1,11,2,9,2,11,1,9,1,11,1,9,1,10,1,11,1,9,3,10,1,9,1,11,1,9,2,10,1,9,2,13,1,9,5,8,1,9,2,8,1,9,1,8,1,9,4,8,1,9,3,11,1,9,2,10,1,13,1,9,2,8,1,9,4,11,1,9,2,8,3,9,2,13,1,9,3,8,1,11,1,10,1,9,2,10,1,9,2,11,1,9,6,11,1,9,1,10,1,11,1,9,1,11,1,13,1,9,1,13,1,8,1,9,1,13,1,7,1,13,1,8,1,13,2,8,1,13,2,8,1,13,3,9,1,13,5,9,1,6,1,9,1,13,2,8,2,13,1,8,1,13,1,8,1,9,1,13,2,8,2,9,1,8,1,13,2,8,1,9,3,13,1,9,4,33,3,5,67,16,1,11,1,17,2,11,2,9,1,10,1,11,1,10,2,9,5,11,1,9,1,10,1,8,1,10,1,9,4,8,2,13,1,30,1,13,3,5,85,9,1,11,1,9,1,11,3,10,2,12,1,10,1,8,1,10,1,8,1,24,2,10,1,9,2,12,1,24,1,12,1,17,1,12,1,9,1,10,1,8,1,17,1,9,1,12,3,10,1,17,2,11,1,17,2,13,1,17,1,10,1,11,1,8,2,12,1,10,1,17,2,10,1,17,2,12,1,17,4,12,1,9,1,13,1,8,1,13,2,8,1,13,1,24,1,9,2,11,1,9,1,11,1,16,1,9,1,5,20,30,2,28,11,9,1,16,1,17,2,13,2,6,1,29,1,30,3,6,1,7,1,24,1,9,1,12,1,16,1,17,1,28,6,30,1,17,1,12,1,13,1,29,1,28,28,7,1,17,1,10,1,9,1,8,1,6,1,29,1,30,1,9,1,8,1,6,1,28,6,30,1,7,1,13,1,}, {28,1,30,1,28,2,24,1,9,1,8,1,13,1,6,1,24,1,7,1,30,1,13,1,9,1,28,37,30,1,28,1,30,1,7,1,13,3,9,1,17,1,12,1,13,1,30,1,29,1,28,1,30,1,28,1,30,1,13,1,8,1,30,1,28,1,6,1,28,1,6,3,24,1,6,1,28,1,8,1,9,1,8,1,6,1,30,1,6,1,28,1,30,1,13,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,8,1,9,1,8,1,17,1,10,1,17,3,16,1,14,3,13,1,6,1,30,1,28,22,29,1,13,1,24,1,12,1,9,1,12,1,17,1,8,2,28,1,29,1,30,1,29,1,6,1,13,1,10,1,17,4,11,1,9,1,13,2,8,1,9,1,13,1,24,1,12,1,13,1,12,1,17,1,14,1,15,1,29,1,28,4,30,1,28,6,29,1,28,2,6,1,17,1,9,1,10,1,16,1,11,1,16,3,11,1,9,2,16,1,11,1,16,2,11,1,16,4,11,2,16,1,10,1,16,1,17,7,11,1,8,1,24,1,8,1,12,1,24,4,12,1,8,1,24,1,8,1,10,1,13,1,24,2,7,1,13,1,12,1,8,1,9,1,8,2,24,1,8,2,13,1,9,1,10,1,12,1,17,29,12,1,17,1,10,1,12,3,17,3,12,1,17,50,24,2,13,1,8,2,13,1,7,1,8,1,7,3,13,1,7,1,8,1,6,1,25,1,7,2,30,1,7,1,6,1,7,1,8,1,7,1,13,1,29,1,6,2,30,1,28,1,29,1,28,1,29,1,30,1,28,1,30,1,29,1,28,39,30,1,28,7,29,1,28,3,29,2,28,2,27,1,28,1,29,4,28,2,29,1,28,5,30,3,29,1,7,2,29,1,30,1,13,1,29,1,7,5,6,2,7,1,6,1,7,3,6,1,30,1,29,2,6,1,29,1,13,1,30,1,7,2,6,2,30,1,7,1,6,1,30,1,7,1,28,1,29,1,13,1,6,5,29,1,7,1,29,1,7,3,6,1,8,1,29,1,7,1,29,1,7,1,28,1,7,1,30,1,7,1,13,1,24,1,13,2,6,1,7,2,8,1,13,1,8,1,6,1,13,1,7,1,8,3,13,3,7,2,13,1,24,1,6,1,29,2,6,1,7,1,30,1,28,1,6,1,28,3,29,1,30,1,6,1,30,1,29,1,6,1,29,1,24,1,6,2,13,1,6,3,13,1,24,2,13,1,9,1,13,1,24,1,12,1,24,1,12,1,9,1,10,1,12,2,24,1,10,1,12,1,9,1,7,1,6,1,30,1,28,1,30,1,28,2,30,1,28,2,29,1,28,1,8,1,17,4,10,1,11,1,9,2,24,1,13,3,8,1,13,1,6,1,7,1,12,2,9,1,17,3,11,1,17,3,16,1,12,1,16,1,11,2,12,1,17,1,12,1,16,1,17,1,10,2,9,1,12,1,17,1,10,1,12,1,17,1,10,1,12,1,17,3,9,1,10,1,12,1,17,4,12,1,11,1,17,4,12,1,17,2,12,1,17,2,16,1,17,9,16,1,17,6,12,1,29,1,28,13,30,3,28,35,30,2,7,1,29,1,7,1,6,1,24,2,9,1,12,1,10,1,9,2,12,1,24,1,9,1,10,1,17,1,9,1,17,1,9,1,12,1,9,1,17,2,9,1,11,1,9,13,11,2,9,4,13,3,6,1,28,1,7,1,28,1,30,1,6,1,13,1,30,2,6,1,28,1,30,3,28,1,6,1,28,1,30,1,6,2,30,1,6,1,28,1,13,1,6,3,13,2,6,4,13,2,6,1,13,5,9,1,13,1,9,3,11,1,8,1,9,1,13,1,8,1,9,2,13,7,8,1,9,1,11,1,13,1,8,4,13,1,8,1,13,1,9,3,13,1,9,1,13,1,9,1,8,1,9,2,11,1,8,1,9,4,10,1,11,1,9,3,11,2,9,5,13,2,9,4,13,2,9,2,13,1,9,1,8,1,9,1,6,1,9,3,13,1,9,5,8,1,13,1,8,2,9,1,8,1,13,1,8,1,9,1,13,2,6,1,13,4,6,2,13,4,9,1,13,2,8,2,13,4,9,1,13,1,6,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,11,1,9,3,8,2,9,2,13,1,9,1,13,2,9,2,8,1,10,1,9,3,8,1,13,2,9,1,13,3,9,2,13,2,9,1,8,1,10,1,13,1,9,4,10,1,13,3,8,1,9,2,11,1,9,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,2,9,2,11,1,9,1,11,2,9,1,11,5,16,8,11,1,9,1,11,3,16,3,11,1,9,4,13,1,8,1,13,3,6,1,30,1,33,59,5,456,33,1,28,26,29,1,28,2,29,1,28,2,6,1,30,1,28,4,6,1,30,1,28,7,13,1,30,1,28,1,30,1,28,5,30,2,28,5,6,1,9,1,11,1,10,1,13,1,10,1,13,1,9,1,8,2,13,1,9,1,13,2,9,1,8,3,9,1,13,1,9,1,8,1,9,1,8,1,9,4,10,1,11,1,9,2,10,2,16,3,11,2,16,1,17,1,11,2,16,1,11,2,9,2,11,2,9,4,11,1,16,1,11,1,9,2,10,1,9,1,10,1,9,1,11,2,10,1,11,1,9,1,11,5,9,1,17,1,12,1,28,2,30,1,28,1,7,1,28,1,6,1,30,1,7,1,13,1,29,1,30,1,28,1,6,1,29,1,8,1,30,1,29,1,30,1,28,14,30,1,28,4,6,1,28,1,29,1,6,1,30,1,28,1,29,2,6,1,13,1,28,1,29,1,28,2,30,2,28,1,30,1,7,1,13,1,7,1,13,1,7,1,13,1,28,1,6,1,30,2,28,5,6,1,28,1,30,1,6,1,28,1,30,1,6,3,13,1,6,1,28,3,30,1,13,1,9,1,11,1,16,6,11,1,16,1,9,1,11,1,9,1,13,4,28,1,6,1,13,3,8,1,9,4,13,2,9,1,13,4,6,1,30,2,6,2,30,2,6,1,28,1,6,1,13,1,6,1,28,12,13,1,30,1,6,1,13,1,30,1,13,1,6,1,30,2,28,27,30,1,9,2,33,1,9,1,5,2,16,1,5,2,16,1,17,1,16,1,17,1,16,1,11,2,9,1,11,2,9,1,16,1,9,1,11,1,9,2,10,1,9,1,10,1,9,3,11,1,9,2,11,1,10,1,9,1,11,1,9,2,11,1,9,4,10,1,9,1,8,1,9,1,13,1,9,1,8,1,9,4,8,1,9,2,8,1,9,3,8,1,11,1,9,2,10,1,9,2,13,1,9,4,8,1,9,4,8,1,13,1,8,1,9,7,11,1,9,5,10,1,9,1,8,1,9,8,13,1,8,3,13,1,7,1,8,1,13,1,9,1,6,1,13,1,8,1,6,1,8,1,6,1,13,3,8,1,13,1,6,1,13,1,9,1,13,1,8,1,13,3,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,9,1,8,3,9,1,8,1,9,1,13,1,8,1,9,1,5,1,33,3,5,66,16,1,17,2,9,1,11,1,10,1,11,1,9,1,10,2,9,3,11,4,9,1,13,1,9,7,13,2,6,1,8,1,13,2,5,85,9,1,16,1,11,3,10,1,9,1,12,1,11,1,12,1,9,1,13,1,8,2,13,1,10,1,8,1,12,1,10,1,17,1,9,1,8,1,9,1,12,1,9,1,12,1,9,1,17,2,10,1,12,1,17,1,11,1,9,1,17,1,12,1,17,1,12,1,8,1,9,1,10,1,9,1,10,1,12,3,11,1,17,1,10,1,17,6,9,1,11,1,9,1,7,1,8,1,13,2,9,2,17,1,24,1,10,1,8,1,9,1,11,1,5,20,6,1,30,1,28,10,13,1,8,1,14,1,16,2,13,1,7,1,13,1,29,1,28,1,29,1,6,1,13,1,6,1,9,2,16,1,17,1,8,1,28,6,30,1,11,1,10,1,6,1,30,1,28,28,30,1,17,1,16,1,13,1,7,1,6,1,30,1,13,1,9,1,10,1,6,1,30,1,28,4,30,1,6,1,13,1,24,1,}, {6,1,30,1,28,2,8,1,24,1,13,1,8,1,7,1,6,1,30,1,7,1,13,1,24,1,13,1,28,39,29,1,6,1,24,1,8,1,24,1,17,2,13,1,30,3,28,2,30,1,13,1,8,1,6,1,30,4,29,1,13,1,9,1,8,1,6,1,7,1,9,2,28,1,30,1,29,2,7,1,13,1,24,1,17,1,9,2,11,1,12,1,16,1,8,1,24,2,16,1,17,5,12,1,14,2,24,1,29,1,28,22,30,2,29,1,10,1,12,1,9,1,17,2,11,1,7,1,6,1,29,1,6,3,29,1,24,1,17,3,24,1,8,1,9,1,8,1,13,1,24,1,13,1,8,1,9,1,8,1,24,2,17,1,16,1,15,1,6,1,30,1,28,3,30,1,28,10,11,2,10,1,16,1,11,1,16,3,11,1,16,6,11,1,16,1,11,1,16,4,11,2,16,1,17,7,12,2,17,1,24,2,10,1,12,1,24,2,10,1,12,1,13,1,9,1,7,1,8,1,24,3,8,3,24,1,9,1,24,1,8,1,24,1,8,2,17,29,12,1,17,2,12,5,9,1,10,1,17,2,11,1,17,48,9,1,11,1,12,1,17,1,9,1,24,1,8,1,13,1,24,1,8,1,13,1,8,1,6,1,13,1,7,1,24,1,7,1,25,1,8,1,6,1,8,1,7,1,13,1,7,1,6,2,29,1,30,1,29,2,7,1,29,1,28,2,6,1,28,5,30,1,28,45,30,1,28,2,30,1,28,1,30,1,29,1,28,1,30,2,28,3,30,1,28,1,30,1,29,1,28,1,29,1,28,1,30,1,28,3,29,1,28,1,8,1,29,1,6,1,13,1,30,1,6,1,29,1,13,1,29,1,6,1,8,3,13,1,7,1,8,1,29,2,6,1,7,1,13,1,29,1,6,2,28,1,30,1,6,1,7,1,30,1,6,1,7,1,28,1,30,1,6,1,13,1,28,1,29,2,6,1,30,1,6,1,13,1,30,1,6,5,13,1,30,1,6,3,29,1,13,1,6,2,13,1,8,2,13,1,8,1,24,1,6,1,8,1,13,1,7,1,8,1,13,1,6,1,13,1,8,1,7,1,8,1,7,1,13,1,8,1,7,1,8,1,7,1,13,1,30,1,6,1,29,1,30,1,6,1,28,2,29,1,28,2,30,1,28,1,13,1,7,1,29,1,6,1,13,1,6,1,28,1,6,1,29,1,7,2,13,1,30,1,8,1,13,1,9,1,8,1,29,1,13,1,10,1,24,1,10,1,24,1,12,1,24,1,8,1,9,2,10,1,11,1,9,1,8,1,6,1,29,1,6,1,28,5,30,1,28,1,29,1,6,1,13,1,17,4,10,1,17,4,11,1,13,5,24,1,8,1,10,1,17,1,12,1,10,1,17,2,16,1,17,3,16,2,17,2,11,1,17,1,12,1,17,1,12,1,17,2,10,1,17,1,11,1,17,2,12,1,17,1,11,1,12,1,17,3,10,1,11,1,17,1,11,1,17,1,11,1,17,1,12,3,17,3,12,1,17,7,16,1,17,13,9,1,28,19,30,1,28,34,13,1,29,1,8,1,13,3,8,2,12,1,11,1,8,1,17,1,9,1,17,1,12,1,10,1,12,1,9,3,8,1,9,1,12,1,9,1,16,1,9,3,13,1,11,1,8,1,9,1,11,2,9,5,11,1,9,3,8,1,9,1,8,1,9,1,11,1,9,3,13,4,29,1,30,2,6,1,28,1,30,1,6,1,28,1,30,4,28,1,7,1,29,1,30,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,13,8,9,1,13,1,9,1,13,3,8,1,9,1,13,1,8,1,9,1,8,2,13,1,8,1,13,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,2,9,6,13,1,10,1,9,6,8,1,11,1,9,1,10,1,9,1,10,1,9,1,10,1,11,1,9,4,16,1,9,1,13,1,11,2,13,1,9,1,8,2,13,1,9,1,8,1,9,1,13,1,11,1,8,1,9,5,13,1,10,2,9,4,13,1,7,1,9,1,13,1,9,3,13,3,9,1,13,1,8,1,13,1,7,1,8,1,13,3,9,1,13,1,6,1,8,1,9,1,13,4,8,1,13,4,9,1,13,3,9,1,8,1,13,2,6,1,13,1,8,1,13,1,8,1,13,4,6,1,11,1,8,1,9,2,13,2,9,1,13,1,8,1,9,1,6,1,9,1,13,2,8,1,13,1,9,3,13,1,11,1,9,1,13,1,9,1,8,2,9,1,13,2,9,3,8,1,13,2,9,1,13,1,9,1,13,1,8,1,9,1,8,1,9,3,11,1,9,4,11,2,9,3,10,1,9,1,16,1,9,2,11,1,9,1,11,1,10,1,9,1,16,1,9,1,11,3,9,1,16,5,17,1,16,6,11,4,10,1,9,1,11,1,9,2,13,1,7,1,13,1,9,1,13,2,33,60,5,458,6,1,28,23,30,1,13,1,28,3,30,1,7,1,29,1,6,1,30,1,28,12,30,2,28,6,7,1,30,1,7,1,30,1,28,5,6,1,9,1,11,1,17,1,8,4,9,1,13,3,9,1,8,1,13,1,9,1,8,1,9,6,11,1,9,2,13,1,11,4,10,1,16,1,17,1,16,1,11,1,16,1,11,1,16,3,11,5,16,1,9,2,10,2,9,1,10,3,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,7,17,2,13,1,28,3,13,2,6,1,7,1,6,1,9,1,13,1,29,1,30,1,28,1,6,1,30,1,13,1,30,2,28,4,30,1,28,15,30,1,28,1,30,1,28,1,6,1,7,1,6,1,13,1,28,1,30,1,28,4,29,1,8,1,6,1,13,3,6,1,7,1,13,2,28,3,29,1,28,2,6,1,28,4,30,2,28,1,6,3,13,2,6,1,28,2,30,2,13,2,16,1,11,1,16,6,9,2,11,1,9,3,13,1,6,1,9,1,13,1,6,1,9,1,13,1,30,1,11,1,13,1,9,4,13,1,9,1,13,1,6,1,30,3,6,2,28,1,30,1,6,1,13,2,28,1,6,1,28,1,30,2,28,10,30,2,6,1,13,1,6,1,13,3,6,2,28,36,33,1,5,2,16,1,5,8,16,1,11,2,9,16,11,1,9,5,8,1,9,1,13,1,9,4,13,1,10,1,11,1,9,1,11,1,8,1,9,3,28,1,13,1,9,5,10,1,8,2,9,4,8,1,9,1,8,1,9,3,8,2,9,1,10,1,9,6,11,1,10,1,9,3,13,1,9,2,8,1,11,1,9,2,8,1,9,5,13,3,8,1,13,1,7,2,13,2,8,1,13,2,9,1,6,1,7,1,13,3,9,1,8,2,13,2,8,1,13,1,9,2,8,2,7,1,8,1,13,1,9,1,8,2,24,1,13,1,8,1,13,1,8,1,9,1,8,2,13,3,8,1,9,1,8,1,9,2,33,4,5,66,16,1,17,1,11,1,10,1,9,1,11,1,9,1,10,2,9,1,10,1,9,1,10,1,9,2,11,1,10,2,9,3,10,1,9,3,13,6,5,87,11,1,16,1,11,1,10,1,12,1,10,1,12,1,10,1,11,1,24,1,8,1,10,1,9,1,12,1,24,2,10,2,17,1,9,1,10,2,12,1,11,1,10,1,11,1,17,1,12,1,9,1,10,1,16,1,12,1,17,5,9,2,10,1,9,1,8,1,9,1,12,1,9,1,10,2,11,2,12,2,17,1,12,2,9,1,17,1,12,1,13,1,10,1,11,1,9,1,12,1,10,1,8,1,13,1,8,1,13,2,5,21,28,10,30,1,6,1,24,1,14,1,11,2,8,1,7,1,8,1,6,1,29,1,6,1,30,1,13,2,7,1,9,1,16,1,17,1,8,1,28,6,6,1,12,1,9,1,6,1,28,29,13,1,17,1,12,1,8,2,7,1,30,1,13,1,15,1,9,1,6,1,29,1,28,5,30,1,7,1,8,1,}, {28,2,30,1,28,1,9,1,11,1,9,1,30,1,13,2,7,1,6,2,8,1,6,1,28,39,13,1,6,1,9,1,8,1,9,1,12,1,17,1,13,1,29,1,28,2,30,1,28,2,7,1,24,1,30,2,6,1,28,1,6,1,30,1,29,1,8,1,13,1,6,1,30,1,12,1,9,1,6,2,29,1,28,1,29,1,13,1,8,1,16,4,17,1,8,1,9,3,11,1,17,4,12,1,16,1,14,1,11,1,9,1,30,1,28,22,30,1,6,1,13,1,8,1,24,1,9,1,17,2,9,1,13,1,6,2,28,1,6,1,29,1,6,1,8,1,9,1,17,2,10,1,9,1,13,2,8,4,9,1,24,1,8,1,10,1,11,1,14,1,9,1,7,1,28,4,30,1,28,9,30,1,11,1,16,1,11,2,16,3,17,1,11,1,9,1,11,1,16,2,11,3,10,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,9,1,11,1,9,1,17,6,16,1,17,1,12,1,9,1,12,1,8,1,12,1,8,1,24,1,17,1,24,3,8,2,24,1,8,1,24,1,12,1,6,1,24,1,8,4,10,1,12,1,17,35,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,50,10,1,17,1,8,1,24,1,9,2,13,3,7,1,6,2,13,1,7,1,6,1,13,1,29,1,25,1,6,1,7,1,29,1,25,1,29,1,6,1,7,1,6,1,7,1,30,3,29,2,6,1,28,1,6,1,30,1,29,1,30,1,28,2,30,1,28,45,30,2,28,2,30,1,28,2,30,1,28,2,29,1,30,1,28,5,29,1,28,1,29,1,28,2,30,1,7,1,29,1,30,2,29,1,30,2,13,1,7,1,6,1,29,3,13,1,6,2,29,1,7,2,6,1,13,1,6,2,29,1,7,1,13,1,30,1,6,1,30,1,7,2,29,2,28,1,6,1,29,1,6,1,7,1,30,1,6,1,7,2,29,1,7,2,6,1,13,1,7,4,8,1,6,4,29,1,13,1,7,2,13,4,8,2,7,1,8,1,13,1,8,2,7,1,13,1,6,1,10,1,7,1,8,3,24,1,30,1,13,1,6,1,30,1,29,1,28,4,29,1,30,1,29,1,6,1,30,2,29,1,6,1,29,1,28,1,6,2,29,1,6,6,8,2,13,1,6,2,7,1,13,2,24,1,7,1,8,2,24,1,9,1,10,1,9,2,13,1,6,2,30,1,28,1,30,1,28,5,30,1,7,1,8,1,12,1,17,2,11,1,9,1,13,1,12,1,10,1,17,3,24,1,13,3,7,1,8,1,24,2,10,1,17,1,11,1,17,3,11,1,17,1,12,2,17,2,12,1,17,1,12,1,17,2,9,1,17,1,10,1,17,1,12,1,17,1,10,1,17,1,12,1,10,1,17,2,12,2,11,1,17,1,12,1,10,1,9,1,17,1,11,1,12,1,9,2,17,1,12,2,17,2,11,1,17,1,12,1,17,1,16,1,17,4,12,1,17,10,13,1,30,1,28,12,30,2,28,3,29,1,28,31,30,2,28,1,6,1,7,2,13,1,8,1,7,1,24,1,12,1,8,1,10,1,9,1,11,1,12,2,8,1,9,1,13,1,9,1,12,1,9,2,17,2,10,1,9,1,11,1,9,2,8,2,9,1,11,1,9,5,11,1,9,1,11,1,9,3,13,1,9,1,8,1,13,1,9,1,13,1,8,1,9,1,8,1,11,1,9,2,13,1,9,1,10,1,13,4,30,1,6,1,13,1,6,1,13,1,28,1,6,2,30,1,13,1,6,1,7,2,13,1,6,2,13,1,6,1,13,2,7,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,13,2,9,1,8,1,13,2,9,1,13,3,9,1,8,1,13,5,9,2,8,1,9,4,8,2,9,1,13,2,9,2,8,1,9,4,8,1,13,1,9,1,16,1,13,1,10,1,9,7,13,1,9,2,11,1,9,1,13,4,9,2,8,1,13,1,9,1,8,1,13,3,9,6,8,1,13,1,9,2,8,1,13,1,9,3,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,7,1,9,1,13,1,6,1,13,1,30,1,13,1,6,1,13,6,7,1,13,3,8,1,13,2,9,1,8,2,13,1,6,1,13,2,9,2,13,4,9,3,8,1,9,1,13,1,9,2,7,1,8,1,13,1,9,1,8,1,13,2,8,1,9,1,13,1,9,1,8,1,13,1,9,1,8,1,13,1,9,4,13,5,8,1,13,1,9,2,8,1,9,2,11,1,9,3,8,1,9,2,11,1,13,1,9,2,16,1,9,6,10,1,9,7,11,1,9,1,11,3,9,2,11,4,16,1,11,1,17,1,16,7,11,1,16,1,11,2,9,1,13,1,9,3,13,4,30,1,6,1,33,61,5,460,28,23,6,1,30,1,28,3,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,7,30,1,6,1,28,6,30,2,28,7,30,1,10,1,16,1,17,2,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,4,10,1,9,2,11,2,9,1,11,2,9,1,16,1,10,1,16,1,11,1,16,1,11,4,16,1,11,5,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,16,1,9,2,11,1,9,1,11,1,10,1,11,1,9,1,10,1,9,1,11,1,10,1,11,2,9,1,11,2,17,2,28,3,30,1,13,3,6,1,13,2,7,1,6,1,28,2,30,1,6,1,30,1,6,1,29,1,28,4,30,1,28,11,6,1,30,1,28,4,30,1,6,1,30,2,6,1,30,1,7,1,6,1,30,3,28,2,6,2,13,2,6,1,8,1,30,1,29,1,6,1,28,10,13,1,8,1,28,3,6,1,13,2,6,2,28,3,30,1,13,1,11,1,13,1,9,1,16,7,9,1,13,8,30,1,9,1,30,1,13,2,9,2,13,1,9,1,13,1,9,1,13,2,30,2,28,1,13,2,6,1,13,1,6,1,28,1,13,1,8,1,13,1,28,1,30,1,6,1,30,1,28,11,30,4,6,2,30,1,13,1,6,3,30,1,28,2,30,1,28,31,9,1,28,1,6,1,5,14,33,3,5,2,13,1,11,1,16,1,11,1,9,1,11,1,9,1,13,1,9,9,11,1,8,1,9,2,8,1,9,3,10,1,9,3,13,1,9,4,10,1,9,6,8,1,9,5,13,1,9,2,8,1,9,4,11,1,9,1,10,1,9,12,13,1,9,1,8,1,11,1,9,1,11,1,9,2,8,1,13,2,7,1,13,2,6,1,13,4,8,1,13,2,8,1,13,4,8,1,13,4,6,2,13,1,8,1,13,2,8,1,13,5,8,1,13,1,24,1,13,1,8,3,9,2,8,1,9,1,8,1,13,1,9,1,13,1,5,1,33,4,5,65,17,2,9,2,11,1,9,2,10,1,9,2,13,1,9,1,10,3,9,1,11,1,13,1,9,5,8,1,13,4,8,1,13,1,5,87,16,2,11,1,12,1,17,1,11,1,12,1,8,1,12,1,9,2,8,3,9,1,24,1,10,1,8,1,12,1,10,1,9,1,12,1,9,1,10,1,9,1,17,1,9,1,17,2,12,1,17,5,9,1,17,1,12,1,9,1,12,1,10,1,9,2,24,1,9,1,11,1,9,2,17,3,11,1,10,1,11,1,17,1,12,1,17,1,12,1,9,1,8,1,9,2,11,1,9,1,8,1,13,1,9,2,5,21,28,11,6,1,16,1,14,1,16,2,8,2,7,1,6,3,30,1,7,1,13,1,9,1,10,1,11,1,17,1,9,1,28,6,13,1,17,1,24,1,13,1,28,29,13,1,17,1,12,1,10,1,8,1,7,1,29,1,13,1,15,1,8,1,6,1,28,6,30,1,9,1,24,1,}, {28,4,6,1,17,1,8,1,6,2,28,1,29,1,6,2,24,1,7,1,28,39,30,1,7,1,8,2,13,1,17,2,8,1,30,4,28,2,8,1,9,1,8,1,29,1,6,2,29,1,6,1,10,1,24,1,6,1,30,1,6,1,8,2,6,1,28,1,6,2,28,1,24,1,9,1,15,1,11,2,10,3,9,1,13,2,17,3,16,2,17,2,14,2,11,1,6,1,28,24,29,1,8,1,24,1,12,1,10,1,17,1,9,1,6,2,29,1,28,1,6,2,28,1,6,1,17,2,12,1,11,1,9,2,13,2,9,2,13,1,8,1,24,1,8,2,11,1,14,1,16,1,6,1,29,1,30,1,28,10,30,1,28,1,13,1,11,2,9,1,16,3,9,2,11,1,16,1,11,1,16,2,11,1,16,1,17,1,16,1,11,1,16,1,17,1,9,1,16,1,9,1,16,1,11,1,17,2,11,1,17,4,16,1,17,4,9,1,8,1,12,1,9,4,24,1,10,1,13,1,10,1,8,1,9,1,13,1,9,1,8,1,24,1,8,1,7,1,10,1,24,1,12,2,17,31,11,1,17,5,12,1,17,57,11,1,9,1,8,2,24,1,13,1,8,2,13,1,6,1,8,3,13,1,6,1,8,1,25,1,29,1,25,1,7,2,30,1,7,1,6,1,7,1,6,1,28,1,13,1,6,1,29,2,30,3,28,2,30,1,28,9,30,1,28,23,29,1,28,8,29,1,28,4,30,5,29,1,28,1,30,2,29,1,28,1,6,1,28,2,30,3,28,3,29,1,13,1,28,3,6,1,29,1,6,4,8,1,7,1,8,1,6,4,29,1,13,1,29,1,7,1,13,1,29,1,13,1,6,1,7,1,29,1,28,1,6,1,29,1,28,1,30,1,29,1,6,1,29,1,6,1,28,1,6,1,29,2,6,1,7,2,6,1,8,1,7,1,29,1,6,1,7,1,8,1,6,1,7,1,29,1,28,1,29,1,8,1,7,1,6,2,7,1,24,1,8,2,7,1,8,2,24,1,13,1,8,2,7,1,8,1,24,3,8,3,7,2,29,2,6,1,29,1,6,1,30,2,28,2,30,1,29,1,30,1,7,1,6,1,29,1,6,1,7,1,6,3,28,1,29,1,6,1,28,2,6,3,28,1,7,1,8,1,6,1,29,1,6,1,28,4,29,1,28,1,7,2,8,1,12,1,10,1,13,1,7,1,6,1,28,1,30,1,28,6,6,1,30,1,6,2,9,1,12,1,17,1,9,3,10,1,8,1,12,1,10,1,17,1,12,1,9,1,13,4,24,1,8,1,11,1,9,1,17,3,12,1,11,1,12,1,11,1,17,2,12,1,17,1,12,2,17,4,12,1,17,1,10,1,17,2,9,1,12,2,17,4,11,2,10,1,17,1,12,1,11,1,17,6,12,1,17,3,12,1,17,1,16,1,12,1,17,1,16,1,17,2,16,1,17,7,16,1,17,1,11,1,6,1,29,1,28,11,30,1,29,1,28,2,30,1,28,34,7,1,6,1,30,1,7,1,13,1,8,3,9,1,10,2,24,1,11,1,10,1,17,1,12,1,17,1,9,1,10,1,12,1,10,1,12,1,11,1,17,1,16,1,11,2,10,1,13,1,8,1,9,1,8,1,13,1,9,2,10,1,9,1,8,1,11,1,9,3,11,1,9,4,8,2,9,2,8,1,9,2,8,1,9,1,11,1,9,1,8,1,9,3,13,1,11,1,9,1,11,1,8,1,13,2,9,2,13,1,8,1,6,1,13,1,6,1,13,1,6,1,7,1,29,1,6,1,13,1,6,1,9,1,7,1,13,2,7,1,13,3,8,1,13,1,8,3,9,1,13,3,8,1,9,1,8,1,9,1,13,1,9,1,13,3,9,1,8,1,9,2,13,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,8,1,11,1,9,1,11,1,13,1,9,2,8,1,13,1,9,4,11,1,9,1,13,1,9,4,11,1,13,1,8,1,13,1,11,1,9,1,13,1,9,3,13,2,9,2,13,1,9,1,10,1,9,12,8,1,11,1,13,1,9,1,8,1,9,4,8,1,13,3,9,1,13,7,6,2,7,1,8,1,13,1,8,1,13,3,8,1,13,4,8,1,13,2,9,1,13,3,8,1,9,1,13,1,6,1,8,1,13,1,8,1,13,2,8,1,9,2,13,2,9,1,11,1,6,1,8,1,13,2,9,1,8,2,13,1,8,2,13,1,8,1,13,2,9,4,13,1,9,1,8,1,9,1,13,1,9,2,13,1,11,1,9,1,11,2,9,4,11,1,9,1,11,2,13,1,10,1,9,3,16,1,11,1,9,2,11,1,16,1,9,3,11,1,8,1,11,1,10,1,9,1,11,8,16,1,11,1,16,2,9,1,16,1,17,1,16,6,11,2,9,1,11,1,9,2,13,5,6,1,33,62,5,461,6,1,28,28,30,2,28,14,30,2,28,16,9,1,11,1,17,2,9,1,8,1,9,3,8,1,9,2,8,1,9,4,11,1,10,1,9,1,11,1,9,2,10,1,11,3,9,1,11,3,16,1,11,1,9,1,16,1,9,1,11,1,9,2,16,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,11,1,10,1,9,1,10,2,9,3,11,1,9,1,11,1,10,1,11,1,10,1,9,3,17,2,10,1,28,3,6,1,13,3,8,2,9,1,6,1,28,1,6,1,30,1,29,1,6,1,30,1,6,1,28,1,29,1,28,2,30,1,28,17,30,2,13,2,29,1,13,1,30,1,6,1,13,1,6,1,29,1,6,1,30,1,13,1,30,1,29,1,6,1,29,1,7,1,30,1,6,1,30,2,28,10,13,1,6,1,13,4,30,2,13,1,30,2,28,1,30,2,6,1,13,2,11,1,13,1,16,4,9,4,13,5,30,1,13,1,6,1,30,1,13,3,11,1,9,6,13,3,30,1,13,5,30,1,13,1,28,1,6,1,13,1,6,1,30,2,6,1,30,1,28,12,6,3,30,1,6,3,30,1,6,3,30,2,28,5,30,1,28,28,5,15,33,3,5,1,9,2,11,2,9,11,13,1,9,1,8,1,9,2,13,1,9,8,8,1,9,1,10,1,8,1,10,1,8,1,9,5,8,1,9,1,8,1,9,1,8,1,9,5,11,1,8,2,9,1,11,1,9,1,11,1,8,1,9,13,10,1,9,3,8,1,13,1,8,1,13,3,8,1,6,1,13,1,6,1,7,1,13,2,8,1,7,1,13,6,8,1,7,1,13,2,8,2,13,1,24,1,8,2,13,3,7,1,8,1,13,2,8,1,13,3,8,1,13,3,9,1,8,2,9,1,13,1,9,3,5,1,33,2,5,66,16,1,17,2,9,6,10,1,9,1,10,1,9,1,11,1,9,1,11,2,9,1,10,1,9,3,8,1,13,4,11,1,13,1,5,88,9,1,11,1,9,1,24,1,10,1,12,2,9,1,12,1,8,1,12,1,8,1,24,4,10,3,9,1,12,1,10,2,17,1,12,1,17,3,16,1,17,6,11,1,17,1,10,1,11,1,24,1,8,1,9,1,8,1,17,1,24,1,9,1,8,1,11,1,12,2,10,2,12,1,17,1,12,1,17,1,10,1,12,1,9,1,17,2,12,1,10,1,11,1,9,3,5,20,33,1,28,11,6,1,12,1,14,1,11,2,12,1,8,1,13,1,6,1,30,2,6,1,13,1,8,1,24,1,9,1,12,2,8,1,6,1,28,5,9,1,17,1,8,1,6,1,28,29,13,1,14,1,17,1,9,1,10,1,30,1,6,1,8,1,9,1,8,2,28,6,6,1,13,1,24,1,}, {30,1,28,1,30,1,28,1,7,1,10,1,8,1,6,1,30,1,29,1,30,2,29,1,13,2,28,39,30,1,6,2,8,1,24,1,9,1,11,1,7,1,29,1,28,4,30,1,8,1,9,1,6,3,29,2,8,1,13,1,24,1,13,1,29,1,28,1,9,1,13,2,30,3,28,1,13,1,24,1,9,1,17,1,9,1,11,1,9,2,13,1,9,2,24,1,12,2,17,1,11,1,17,4,10,1,6,1,30,1,28,22,30,1,7,1,13,1,8,3,17,1,10,1,7,1,29,1,28,1,30,1,6,1,13,1,30,1,6,1,24,1,9,1,17,1,10,1,11,1,9,1,13,1,8,1,10,1,8,1,24,1,10,1,24,2,12,1,9,1,16,1,10,1,30,3,28,10,30,1,28,1,7,1,11,1,9,1,16,3,17,1,16,1,11,1,9,1,16,1,9,1,16,2,11,1,16,1,9,1,16,1,11,1,16,7,9,1,17,1,9,1,11,1,9,1,11,1,17,4,11,1,17,2,9,1,17,1,11,1,10,1,24,1,9,1,24,2,10,1,24,1,13,1,10,1,24,1,9,1,24,1,9,1,10,1,8,1,24,1,8,1,12,1,17,36,11,1,17,1,12,1,17,59,8,2,9,1,13,1,8,1,13,1,7,1,6,1,13,2,6,2,7,1,6,1,8,1,7,2,13,1,8,1,29,1,6,1,8,1,13,1,7,1,6,1,7,1,29,2,7,1,28,1,29,1,30,1,28,45,6,1,28,5,30,1,29,1,28,2,29,1,27,1,28,3,30,1,28,1,30,1,28,1,6,1,29,1,28,3,30,1,7,1,6,1,28,1,29,1,6,1,30,2,6,2,8,1,30,1,6,1,30,1,13,1,28,1,6,1,30,1,29,1,13,1,28,1,29,2,6,1,8,1,7,1,6,1,29,1,6,1,28,1,29,1,6,1,28,1,6,2,29,1,13,1,29,1,6,2,29,1,6,1,29,1,13,1,30,1,8,1,6,1,28,1,13,1,29,1,7,1,8,1,6,1,8,1,7,2,6,1,7,2,24,1,13,1,7,1,13,2,24,1,13,3,8,1,24,1,6,1,7,1,13,1,24,1,8,2,13,1,6,1,13,3,29,1,7,1,28,1,7,1,6,1,28,1,29,1,30,1,29,1,28,1,30,1,6,1,30,1,29,5,30,1,29,2,30,1,28,1,30,1,28,1,29,1,28,4,29,1,6,1,28,1,29,1,30,1,6,2,29,1,30,2,28,1,29,1,30,2,13,1,8,1,24,1,6,1,30,1,28,1,30,1,28,1,30,2,28,2,29,1,7,1,6,1,7,1,13,2,17,1,11,1,9,2,13,1,10,1,8,2,13,1,8,1,24,1,8,1,24,1,9,1,24,1,13,1,24,1,9,2,12,2,11,1,17,1,11,1,17,1,12,1,17,2,16,1,11,1,17,3,11,1,17,2,12,2,17,1,9,2,17,1,12,1,17,3,12,1,16,1,17,2,12,1,17,2,12,1,17,2,11,1,12,1,17,2,10,1,17,6,16,1,17,2,16,1,11,1,16,1,17,10,13,1,30,1,28,14,30,1,28,36,13,1,29,1,6,1,13,1,24,1,8,1,24,1,10,1,11,1,12,1,9,2,12,1,10,2,11,1,10,2,11,1,12,1,11,2,17,1,11,1,17,3,11,1,9,3,8,1,9,5,13,1,11,1,9,3,11,1,10,1,13,1,8,1,13,1,9,5,11,1,16,1,9,1,10,1,9,4,13,2,9,1,13,4,9,7,8,1,9,1,11,1,9,2,13,1,9,3,13,1,6,1,13,4,9,2,13,3,9,1,8,1,13,2,9,1,13,2,9,1,13,1,9,1,13,6,7,1,9,1,13,1,9,3,13,2,8,2,9,2,13,2,9,2,13,1,9,2,13,1,8,3,9,4,10,1,9,1,13,1,9,1,8,1,9,3,13,1,10,1,13,1,9,1,13,2,9,1,8,1,9,4,13,1,8,1,10,1,9,2,8,1,11,1,8,2,9,2,11,2,9,1,11,1,9,1,11,1,9,4,13,3,11,1,9,1,13,4,8,1,13,2,6,1,13,3,9,1,13,4,9,1,13,1,8,1,9,1,8,1,13,1,9,1,13,1,6,1,8,1,13,1,9,2,13,1,9,1,13,1,9,1,13,2,9,1,13,4,9,2,8,1,9,1,8,1,13,2,8,1,9,1,13,2,9,2,13,1,9,3,8,1,9,2,13,2,9,3,13,1,9,3,13,1,8,1,9,3,11,1,16,1,9,5,11,1,9,1,11,2,9,2,11,1,10,1,8,1,9,5,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,16,1,9,1,16,4,9,1,11,1,16,1,11,1,16,7,11,1,16,1,11,1,10,1,11,1,9,3,13,1,9,1,13,2,30,1,6,1,33,63,5,461,6,1,28,30,6,1,28,33,13,1,11,2,9,1,8,1,9,2,10,1,9,6,11,1,9,1,10,1,11,1,10,1,11,2,10,1,11,3,16,3,11,1,16,1,10,2,9,1,11,2,16,1,11,3,16,1,11,3,9,2,11,1,9,1,10,1,9,6,11,1,9,1,11,3,10,1,9,1,11,1,9,1,11,1,9,1,11,1,17,2,28,4,13,1,8,1,13,1,8,1,13,2,8,1,6,1,28,1,6,3,30,1,6,1,29,1,6,1,30,1,28,21,29,1,30,2,7,1,6,2,28,1,6,1,29,1,7,2,29,1,30,2,13,1,29,1,6,1,30,1,29,1,28,1,6,1,30,1,7,1,30,1,28,7,30,1,28,2,13,4,6,1,30,4,6,1,30,1,28,1,13,1,9,1,13,2,9,2,16,1,9,7,13,3,6,1,13,1,28,1,6,1,13,1,28,1,9,6,11,2,9,1,13,7,6,1,9,1,6,4,30,2,28,1,6,1,13,1,30,1,28,15,6,7,13,1,30,1,6,2,30,2,28,5,30,1,6,1,28,24,33,1,5,14,33,4,13,1,28,1,6,1,9,1,11,1,9,6,8,2,9,1,8,1,9,1,8,1,9,24,8,1,9,3,8,1,9,9,11,1,9,1,11,1,9,4,8,2,9,2,10,1,9,5,8,1,9,3,8,1,13,2,8,2,6,1,8,1,13,1,7,1,8,1,13,3,8,1,13,3,7,1,13,1,6,1,7,2,8,1,7,1,8,1,7,1,13,2,8,1,13,1,24,1,8,1,13,2,8,1,13,5,7,1,13,6,8,1,13,1,8,2,13,1,9,5,33,1,5,64,17,2,11,1,9,1,10,1,9,1,10,1,8,1,11,1,9,1,10,1,9,1,10,1,9,1,11,1,8,1,9,4,13,1,8,1,13,2,8,1,13,1,9,1,13,1,5,89,16,1,11,2,12,1,9,1,12,1,17,1,10,1,12,1,17,1,11,1,8,1,9,1,10,1,9,2,12,1,8,1,11,1,10,2,17,1,9,1,12,1,17,7,11,1,17,4,12,1,10,1,9,1,8,2,9,1,17,1,9,2,12,1,8,1,9,1,10,1,11,2,9,2,10,1,12,1,11,1,12,1,9,1,12,2,17,1,11,2,10,1,9,1,11,1,5,20,13,1,28,11,30,1,9,1,17,1,16,1,10,1,12,1,13,2,28,1,6,1,29,2,6,1,8,2,9,1,17,1,9,2,28,6,9,1,17,1,9,1,6,1,29,1,28,28,8,1,14,1,12,1,9,2,29,1,6,1,13,1,9,1,8,1,13,1,30,1,28,6,13,1,8,1,}, {28,2,29,1,28,1,8,1,9,1,13,3,7,1,6,1,29,1,6,2,13,1,28,39,30,1,6,1,13,1,8,2,12,1,17,1,24,1,6,1,30,2,28,1,30,1,28,1,24,1,9,1,7,1,8,1,6,1,13,1,29,1,7,1,24,1,8,1,6,1,29,2,13,1,8,1,29,1,13,1,28,1,30,2,13,1,9,2,17,1,11,1,12,1,11,2,9,1,8,1,9,1,11,1,17,1,10,1,17,2,11,1,17,2,14,1,11,1,6,2,28,22,30,1,7,1,13,1,24,1,9,1,24,1,17,1,24,1,6,1,7,1,6,1,30,2,29,1,6,1,29,1,8,1,16,1,17,2,13,1,10,1,13,1,24,1,9,2,8,1,10,1,24,2,9,2,24,1,10,1,13,1,30,1,6,1,28,1,30,1,28,9,29,1,13,1,10,1,16,1,10,1,16,1,9,2,16,1,9,1,16,1,11,1,16,4,11,1,16,1,11,1,16,1,17,1,9,1,16,1,11,1,16,1,11,1,10,1,9,2,8,1,9,2,16,1,9,1,11,1,10,1,11,1,16,1,11,1,17,2,9,3,10,1,9,1,11,1,24,2,11,1,8,1,10,1,8,1,24,1,9,1,24,1,13,1,9,1,10,1,9,1,12,2,17,98,10,1,8,1,12,1,13,1,8,1,13,1,7,1,8,1,7,1,13,1,6,1,7,1,6,2,7,2,6,2,7,1,6,1,24,1,6,1,7,1,28,1,7,1,29,1,6,2,30,1,28,1,29,1,28,1,30,2,28,4,30,1,28,1,30,1,28,2,30,1,28,40,29,1,28,4,30,1,28,1,29,1,28,2,30,1,28,2,29,1,28,1,29,1,7,1,29,2,30,1,28,1,6,2,7,1,30,1,7,1,29,1,6,2,8,1,29,1,7,1,29,1,6,2,13,1,29,1,13,1,30,1,29,1,6,2,29,1,6,1,7,1,6,1,30,1,6,1,30,1,6,1,29,4,7,1,28,1,30,1,24,1,6,1,7,1,29,1,7,2,8,1,13,1,29,1,13,1,6,1,7,1,8,1,6,1,13,1,7,1,24,1,13,1,8,1,13,1,8,1,7,2,13,2,8,1,6,1,8,1,24,1,10,1,24,1,7,1,24,1,8,1,13,1,29,1,13,2,29,1,6,1,29,2,30,1,29,1,30,1,29,1,7,1,6,1,29,1,30,1,28,1,6,1,28,1,30,2,28,14,6,1,28,1,30,1,28,11,30,1,28,1,30,1,24,1,29,1,13,1,28,2,30,3,6,1,29,1,30,2,6,1,13,1,30,1,13,1,12,1,9,1,11,1,24,1,7,1,24,1,6,1,13,2,30,1,28,5,6,1,8,2,9,1,24,2,12,1,11,1,10,1,17,2,12,1,17,1,11,1,9,1,17,1,11,1,10,1,17,3,10,1,12,2,17,1,10,1,11,2,12,1,16,1,11,1,17,2,12,1,10,1,17,1,12,1,17,1,12,1,17,1,11,1,10,1,11,1,10,1,17,1,12,1,17,1,12,1,17,5,11,1,17,1,11,1,16,1,17,11,9,1,29,1,28,3,30,1,28,7,30,1,28,36,30,2,28,1,30,1,13,1,29,1,8,1,24,1,8,2,11,1,8,1,17,1,8,1,17,1,9,1,12,2,9,1,10,1,9,2,11,1,17,1,10,1,17,4,9,2,16,2,10,1,17,1,9,2,8,1,13,1,11,1,8,1,11,1,9,4,11,1,9,1,11,1,9,3,10,1,11,2,9,1,11,1,9,3,8,1,11,2,13,1,9,1,11,1,13,1,11,1,9,2,8,1,13,2,9,1,13,1,10,1,9,4,11,1,16,1,9,4,13,1,9,1,13,2,9,1,13,4,7,1,8,1,13,1,8,1,7,1,13,2,8,1,13,3,9,1,13,3,8,1,13,2,8,1,13,2,8,1,9,3,13,1,9,1,30,1,13,2,9,1,13,1,9,3,13,1,9,1,13,2,10,1,9,1,13,2,9,9,10,1,11,1,13,1,9,1,8,1,9,7,8,1,9,2,13,1,9,1,8,1,11,1,9,2,8,1,9,2,11,1,9,1,11,1,9,1,8,1,9,1,11,1,9,4,11,1,13,3,9,2,13,2,8,1,13,3,9,1,13,2,9,2,13,1,9,1,13,1,9,1,8,1,13,2,8,1,13,3,8,1,9,1,8,1,9,1,13,2,9,1,8,1,13,1,11,1,9,1,8,1,13,1,9,1,10,1,9,4,13,3,10,1,13,1,8,2,9,1,13,1,9,1,13,1,8,2,9,3,13,1,8,1,13,1,11,1,13,2,11,1,13,2,8,1,9,1,13,1,8,1,9,7,11,1,9,1,11,1,9,1,11,1,9,3,13,1,11,1,9,1,13,1,11,1,9,3,11,1,9,3,11,2,9,3,11,6,16,4,9,1,16,7,11,3,9,1,11,1,9,3,11,1,9,1,8,1,9,1,13,3,33,65,5,460,6,1,28,23,30,2,28,3,6,3,30,1,28,15,30,1,28,2,30,1,28,4,30,1,28,9,13,1,16,1,10,1,9,4,10,2,9,3,11,1,9,1,11,1,16,1,9,1,11,7,9,1,11,2,9,1,16,1,9,1,11,1,9,1,11,3,9,1,10,1,11,1,9,2,11,3,10,3,9,1,10,1,11,1,9,2,10,2,9,4,11,1,10,1,9,5,17,2,13,1,28,3,7,1,13,4,8,2,13,1,30,1,13,2,6,3,30,1,28,1,30,1,28,29,6,1,30,1,6,1,29,1,6,1,13,1,7,1,6,1,13,2,6,2,28,1,30,1,6,1,28,2,30,1,28,8,13,1,6,1,30,1,6,1,13,1,30,1,28,1,30,1,6,2,28,2,13,1,6,1,9,3,13,1,9,1,11,1,16,1,9,3,16,2,13,3,9,1,13,2,6,1,28,2,13,1,30,1,13,2,9,1,13,1,9,1,16,1,9,2,11,1,9,1,13,2,28,1,13,1,6,1,13,3,6,1,13,2,30,1,6,2,30,3,13,1,28,14,30,1,28,3,30,4,13,1,6,4,13,1,30,1,28,4,6,1,28,1,30,2,6,1,28,1,13,1,30,2,28,18,33,1,5,15,33,2,28,2,30,1,9,2,13,1,9,3,8,2,9,7,8,1,9,2,11,1,10,1,9,2,8,2,9,5,8,1,10,1,9,1,13,1,9,2,10,1,9,1,8,1,9,6,10,1,9,1,10,1,9,1,10,1,9,5,10,1,9,17,13,1,8,2,13,4,6,1,7,1,13,5,7,1,8,1,13,2,7,1,8,1,13,3,6,1,13,3,8,1,6,1,13,1,8,1,13,1,8,1,13,3,7,1,13,1,24,1,13,1,8,1,13,2,9,1,8,2,13,2,8,1,13,2,9,4,13,2,6,1,28,2,5,61,16,1,17,2,10,1,9,1,10,1,9,1,10,3,9,1,8,1,11,1,9,4,13,1,11,1,9,1,8,1,10,1,13,1,8,1,13,1,11,1,30,1,5,91,11,1,16,1,10,1,11,1,10,1,9,1,17,1,11,1,12,1,17,1,9,1,8,1,13,1,9,1,10,1,9,1,12,1,9,1,10,1,9,1,17,1,9,1,12,1,17,9,16,1,17,2,16,1,17,1,9,1,11,1,13,1,8,1,9,1,8,2,11,1,8,1,10,1,9,1,11,1,9,3,11,1,9,1,10,1,11,1,10,1,11,2,17,1,12,1,17,1,12,1,9,1,13,2,5,19,13,1,28,11,9,1,15,1,11,1,9,1,11,1,24,1,8,2,13,1,6,1,29,1,13,2,8,2,24,1,17,1,12,1,13,1,28,5,29,1,8,1,17,1,9,1,13,1,28,29,8,1,14,1,9,1,24,2,6,1,30,1,13,1,17,1,13,2,6,1,28,5,30,1,7,1,8,1,}, {28,1,30,1,28,2,13,2,8,1,9,1,6,1,28,1,30,1,28,1,13,1,8,1,6,1,28,39,29,1,6,1,8,1,13,2,17,1,14,1,9,1,6,1,28,5,13,1,9,1,6,1,29,1,30,4,7,1,10,1,8,1,30,2,6,1,8,1,6,1,29,1,6,1,28,2,7,1,9,1,11,1,17,1,12,1,9,1,17,1,9,1,11,1,24,1,16,1,9,1,17,1,9,1,17,1,16,1,17,3,14,1,12,1,13,1,30,1,28,2,30,1,28,19,30,1,6,1,8,1,24,1,8,1,17,1,10,1,12,1,7,1,6,1,29,1,7,3,6,1,30,1,24,1,12,1,10,2,16,1,9,2,24,1,9,1,16,1,9,1,24,1,11,1,9,3,11,1,12,1,7,1,13,1,30,1,28,3,30,1,28,4,30,1,28,2,30,1,13,1,11,1,9,1,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,2,11,1,16,5,9,1,16,1,9,1,11,2,9,3,8,1,9,1,11,1,9,1,8,1,9,2,8,1,11,1,8,1,9,3,11,1,17,2,10,1,16,1,9,1,24,1,9,2,12,2,9,1,10,1,9,2,12,1,9,1,10,1,12,1,17,1,12,1,17,100,11,1,9,1,24,1,8,1,7,1,13,1,8,1,7,1,6,3,13,1,6,1,7,1,6,3,29,1,13,1,6,3,30,1,7,2,30,1,13,1,28,1,29,2,28,3,29,1,28,1,30,1,28,1,30,1,28,45,29,1,30,1,28,1,30,4,28,3,30,1,29,1,6,1,30,2,29,1,6,2,30,1,29,2,6,2,7,2,30,1,7,1,8,1,6,2,7,2,29,1,7,1,29,2,7,1,29,1,30,1,7,3,6,1,30,1,13,1,7,1,29,2,13,1,29,1,6,1,7,1,29,1,8,1,29,2,30,1,7,1,6,4,8,1,6,1,7,1,8,1,24,1,6,1,7,1,8,1,13,1,9,1,7,1,24,1,6,1,8,2,7,2,13,1,8,3,7,1,8,1,7,1,8,1,24,2,7,1,6,1,29,1,6,1,29,1,28,1,29,1,30,1,28,1,29,1,6,4,7,1,29,1,7,1,28,1,30,1,28,35,13,2,30,1,28,1,30,1,28,2,29,1,30,1,29,1,30,1,6,1,8,1,6,1,9,1,10,1,11,1,17,1,9,1,24,1,13,1,8,1,13,2,30,1,28,9,6,1,30,1,6,1,9,3,12,1,17,2,8,1,17,1,12,1,17,1,12,3,17,1,11,1,12,2,11,1,12,1,9,1,12,1,17,2,12,1,17,5,11,3,17,1,10,1,17,1,12,1,10,1,12,3,17,1,11,2,17,16,16,1,17,2,6,1,29,1,30,2,28,46,6,1,28,1,6,2,7,1,6,1,8,3,9,1,12,1,8,1,9,1,10,1,9,1,12,2,8,1,9,1,17,2,9,1,12,1,17,3,12,1,17,1,16,3,17,1,16,1,11,1,16,2,9,5,11,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,8,1,9,1,8,1,9,6,8,1,9,5,11,1,9,1,13,1,11,2,9,7,11,1,9,3,8,1,9,1,16,1,9,1,10,1,9,1,11,1,9,3,13,1,9,2,13,4,9,1,13,1,9,1,13,1,9,1,13,9,9,2,13,1,8,3,9,1,13,2,9,1,16,1,13,2,8,3,9,1,13,1,9,2,13,1,8,2,9,1,8,1,9,4,8,1,10,1,9,1,8,1,11,1,10,1,9,1,13,1,9,2,10,1,11,1,9,4,10,1,9,3,11,1,13,1,9,7,10,1,9,6,8,1,9,2,8,1,9,1,8,1,9,4,13,2,7,1,13,2,8,1,13,1,6,1,13,1,8,1,13,2,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,3,13,1,9,1,6,1,10,1,9,1,13,1,9,4,13,1,9,1,13,3,9,1,13,2,8,1,13,2,8,1,9,1,13,1,8,1,13,1,9,2,8,1,9,1,13,2,9,2,16,1,13,1,16,1,9,2,8,1,13,1,16,1,13,1,9,1,13,1,9,4,16,1,11,1,9,2,11,1,8,1,9,3,11,1,9,1,13,2,9,1,13,1,9,16,11,6,16,5,11,1,16,2,17,1,16,2,11,1,16,2,11,3,9,4,16,1,9,2,13,3,33,65,5,460,6,1,28,30,7,1,6,1,7,1,30,1,28,15,30,1,28,2,30,1,28,4,30,1,28,9,13,1,16,1,9,4,10,1,9,1,11,2,10,3,11,5,16,1,10,1,11,3,17,1,9,1,11,3,9,1,11,1,9,1,11,2,9,2,10,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,10,11,1,9,2,11,4,9,2,17,2,28,3,6,1,13,1,9,1,24,1,13,1,24,1,8,3,7,1,29,1,7,1,6,1,28,1,13,2,29,2,28,30,30,1,29,1,6,1,28,1,6,1,7,1,28,1,6,3,8,1,30,3,6,1,28,6,29,1,28,1,30,1,13,1,30,1,6,1,13,1,6,1,30,1,13,2,30,1,13,1,28,1,30,2,28,1,6,1,13,2,9,1,13,1,9,1,11,1,13,1,9,5,13,2,6,1,13,2,6,2,30,1,6,1,28,1,13,3,9,1,11,1,9,5,11,1,13,2,6,1,30,2,13,1,30,1,13,3,30,2,13,1,6,1,13,1,30,1,6,2,13,1,28,1,6,1,28,18,6,1,28,2,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,28,7,30,1,28,15,30,1,5,18,33,1,28,2,13,1,33,1,5,2,9,2,13,1,9,19,10,1,9,1,8,1,9,6,8,1,9,1,8,1,11,1,10,1,9,1,8,1,9,2,10,1,9,1,10,2,9,3,10,1,13,2,9,1,13,2,9,1,8,1,9,2,8,1,9,1,11,1,9,6,13,1,8,1,9,1,13,3,8,1,13,1,8,2,7,1,13,1,8,1,13,4,7,1,13,1,7,1,13,2,7,1,8,1,6,1,13,1,7,1,13,1,6,1,8,1,7,1,6,1,7,1,6,1,13,2,8,1,13,1,8,1,13,2,8,2,13,2,8,1,13,1,8,1,13,1,9,1,13,2,9,1,13,5,6,1,28,1,30,1,5,60,17,3,9,1,11,1,9,2,10,2,9,2,10,1,9,2,10,1,9,2,13,2,8,1,13,1,9,1,13,1,8,1,13,2,5,91,9,1,17,1,9,1,12,1,9,1,11,1,12,1,11,1,17,1,11,1,10,1,12,1,24,1,9,3,10,1,9,1,11,1,9,1,11,1,10,1,11,1,17,1,12,1,17,6,11,1,16,2,9,2,17,1,11,1,8,1,11,1,24,1,9,2,12,1,9,3,10,1,9,1,11,1,9,1,11,1,10,1,8,1,10,1,12,1,9,1,10,1,12,1,10,1,17,1,12,1,11,1,12,1,8,1,6,1,5,19,13,1,28,11,13,1,10,1,17,1,16,1,10,1,9,1,24,1,13,1,29,1,28,1,30,1,7,1,30,1,9,1,24,1,9,1,12,1,10,1,13,1,28,6,13,1,16,1,9,1,7,1,28,1,30,1,28,27,8,1,14,1,11,1,9,1,24,1,6,1,29,1,13,1,10,1,9,1,8,1,29,1,28,5,29,1,7,1,13,1,}, {29,1,30,1,28,1,29,1,7,1,8,1,13,1,7,1,30,2,29,1,28,1,6,1,13,2,29,1,28,38,30,2,7,1,8,1,24,1,17,1,14,1,8,1,6,1,28,3,30,1,28,1,6,1,24,1,6,1,29,3,6,2,13,1,12,1,13,1,6,1,13,1,9,1,17,1,13,1,30,1,29,1,6,1,28,1,8,1,9,2,17,1,12,1,11,1,16,2,9,4,17,1,12,1,11,1,17,3,14,2,11,1,8,1,29,2,28,2,30,1,28,3,30,1,28,6,30,1,28,7,29,1,13,1,24,1,10,1,9,1,12,1,9,1,11,1,8,1,6,4,30,2,29,1,8,1,17,2,9,1,16,1,9,4,10,1,12,1,8,1,9,1,13,1,9,1,12,1,9,2,7,1,28,1,29,1,28,4,30,1,28,4,30,1,28,1,30,1,13,1,9,1,17,1,16,3,11,1,17,1,16,1,11,1,16,1,9,3,16,2,11,1,9,1,16,1,9,6,11,2,9,4,13,1,9,1,8,1,11,1,13,2,9,1,11,1,9,1,11,3,17,2,12,1,17,1,24,1,12,2,17,1,9,1,12,4,17,1,24,1,17,101,16,1,11,2,13,3,8,1,6,1,29,1,30,1,8,1,6,4,29,2,6,1,7,1,13,1,8,1,6,4,30,1,6,1,30,1,29,1,28,2,30,2,28,1,30,1,28,34,30,1,28,12,27,1,29,1,28,4,27,1,30,2,28,3,30,1,28,1,29,1,28,1,6,1,29,1,30,1,6,1,29,1,30,1,28,1,7,3,6,1,7,1,29,1,8,1,28,2,8,1,29,1,13,2,29,1,6,1,30,1,28,1,29,1,6,7,7,1,6,1,7,1,29,1,7,1,8,1,6,2,8,1,7,1,6,1,13,1,6,1,29,1,6,2,13,3,8,2,24,1,13,2,24,1,13,1,8,1,24,1,13,1,24,1,7,1,6,1,13,1,8,1,7,1,8,1,6,1,7,1,24,1,29,1,8,1,30,1,7,1,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,2,29,1,30,3,28,41,6,1,24,1,13,1,6,1,30,1,6,1,28,2,30,2,13,3,8,1,12,1,11,1,9,1,12,1,10,1,13,1,8,1,13,1,6,1,30,1,28,14,30,1,13,1,9,1,8,2,13,1,12,1,9,1,10,1,12,1,9,1,17,1,12,4,17,1,10,1,12,1,17,1,12,1,17,1,9,1,17,1,11,1,10,1,9,1,17,1,12,1,17,1,12,1,11,1,12,3,9,1,17,2,11,1,17,6,11,1,17,14,9,1,6,1,28,1,29,1,28,47,30,1,6,3,13,1,8,1,24,1,8,1,9,2,12,1,9,1,11,2,12,1,9,1,11,1,17,4,9,1,17,1,9,1,11,1,17,1,16,3,11,2,9,1,16,1,17,5,11,1,16,1,17,2,11,2,9,2,11,1,9,1,10,1,11,1,9,2,11,2,9,2,11,1,13,1,16,1,9,1,8,1,11,1,9,1,13,1,9,2,13,1,11,1,13,1,9,1,10,1,9,2,13,1,9,2,11,1,9,1,11,1,9,3,11,2,9,1,11,1,13,1,9,1,13,1,8,1,9,2,11,1,8,1,9,1,11,1,13,1,9,3,11,1,9,2,13,1,9,5,13,1,9,1,13,1,9,1,8,1,13,2,9,1,13,1,9,1,13,3,8,1,9,2,8,1,9,2,13,2,9,1,10,1,13,1,8,1,9,1,8,1,13,1,8,1,9,6,10,1,8,1,11,1,13,1,9,3,13,1,8,2,9,11,10,2,9,2,11,2,9,1,11,1,9,2,11,1,13,1,9,3,11,1,9,2,8,1,9,1,8,1,13,3,10,1,13,2,8,1,13,4,8,1,9,1,13,1,9,1,8,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,3,9,2,13,4,9,1,13,2,8,1,9,1,13,3,8,1,13,1,9,1,13,2,8,2,13,1,9,1,8,2,11,1,9,1,8,1,9,3,11,1,9,2,11,1,9,6,11,1,9,1,13,1,11,1,9,2,11,1,9,1,11,1,9,5,16,1,9,2,13,1,9,2,11,1,9,1,13,1,8,1,9,1,13,1,11,2,9,4,11,1,9,1,11,3,16,2,11,1,16,3,11,1,16,7,11,1,16,1,11,1,16,1,11,2,9,8,13,2,33,67,5,459,28,25,30,1,28,2,30,1,28,3,6,2,30,1,28,14,29,1,30,1,28,2,6,1,28,4,30,1,28,10,16,1,11,1,10,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,11,1,9,1,10,1,11,1,16,1,10,1,9,1,11,4,10,1,11,5,9,1,10,1,11,1,9,1,10,1,9,1,16,1,9,1,11,1,9,1,10,2,9,1,11,1,9,2,16,1,9,10,11,1,9,1,11,1,10,1,8,1,11,1,17,2,28,2,6,1,9,1,12,1,9,1,8,1,9,3,13,1,9,1,8,1,29,3,7,1,30,1,6,1,30,1,28,1,6,1,28,34,6,1,30,2,8,1,7,1,29,1,8,1,28,1,7,1,6,1,7,1,28,1,30,2,28,2,29,1,13,1,6,2,13,3,6,2,30,1,6,1,13,2,6,3,30,1,6,1,13,1,9,1,13,2,11,1,13,1,11,1,9,2,11,1,9,3,13,2,6,1,13,3,28,1,30,2,13,3,9,1,13,1,9,2,11,1,9,2,13,1,9,1,13,2,28,1,6,1,30,1,13,1,6,3,13,1,6,3,13,1,30,3,13,1,6,1,30,2,28,1,6,2,30,1,28,18,30,1,6,1,28,34,30,1,33,1,5,17,33,6,5,1,33,2,5,3,13,1,9,6,11,1,9,3,10,1,11,1,10,2,9,9,8,1,9,1,10,1,9,3,16,1,9,4,11,2,9,3,13,1,10,1,9,1,10,1,9,2,11,1,8,2,9,6,11,2,9,2,13,11,8,1,13,1,8,1,13,1,6,1,7,1,8,1,6,1,8,1,6,1,13,1,30,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,29,1,13,3,6,1,13,3,8,2,13,1,8,2,9,1,13,2,8,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,2,13,1,6,1,28,1,5,58,16,1,17,3,11,1,10,1,11,1,9,1,10,1,8,1,9,1,11,1,10,1,9,2,8,2,9,1,8,1,13,2,9,1,10,1,13,2,5,92,33,1,16,1,11,1,9,1,17,1,10,1,11,1,17,1,9,1,12,3,17,1,10,1,24,1,8,1,9,3,10,2,17,10,9,1,5,3,33,1,13,1,16,2,9,4,10,1,9,2,8,2,9,1,8,1,9,1,8,1,9,1,24,1,10,1,9,1,10,1,9,1,10,2,17,2,9,1,10,2,9,2,5,18,13,1,28,10,30,1,13,1,16,1,14,1,12,1,9,1,10,1,9,1,8,1,7,1,30,3,13,1,8,1,9,1,10,1,17,1,9,1,8,1,28,6,8,1,17,1,9,1,6,2,30,1,28,1,30,1,28,25,6,1,14,1,10,1,8,1,24,1,13,1,30,1,13,1,15,1,9,1,24,1,6,1,28,4,30,1,29,1,6,1,9,1,}, {30,1,28,2,6,1,13,1,24,1,8,1,6,2,29,1,6,1,30,1,13,2,6,1,28,39,6,1,28,1,13,1,7,1,8,1,11,1,14,1,8,1,28,1,30,1,28,2,30,1,28,1,8,1,9,1,13,1,7,1,29,2,6,2,8,2,24,1,8,1,6,1,24,1,13,1,7,1,28,2,30,1,28,1,30,1,9,1,8,1,16,3,17,1,9,1,8,3,12,1,16,1,9,1,10,1,16,1,17,2,14,3,13,1,29,1,28,2,30,1,28,3,30,1,28,1,30,1,28,7,30,1,28,6,6,1,10,1,9,1,11,1,9,1,10,1,12,1,13,1,29,1,6,1,29,1,7,1,6,1,29,2,9,1,10,1,17,2,12,1,16,1,11,1,24,1,9,1,10,1,9,1,8,1,13,1,24,1,8,1,9,1,12,1,9,1,13,1,28,2,30,1,28,5,30,1,28,4,30,1,13,1,9,1,16,4,11,1,16,2,11,2,16,1,11,2,17,1,16,1,17,1,16,2,11,1,8,1,9,1,8,2,9,2,11,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,9,5,10,1,9,1,13,1,11,1,16,1,17,1,16,1,17,1,12,1,16,1,13,1,12,1,11,1,12,2,17,1,24,1,17,105,11,1,9,1,8,1,6,1,29,1,7,1,6,2,28,1,6,1,28,2,6,1,28,2,6,1,30,1,29,1,7,1,6,1,30,1,6,2,28,1,6,1,29,1,30,1,29,2,28,1,30,1,28,2,29,1,28,5,30,1,28,34,30,1,28,1,30,1,28,3,29,1,28,1,29,1,30,1,28,7,30,1,28,1,6,1,30,2,8,1,30,1,28,1,6,1,30,2,29,1,30,1,13,2,6,2,29,2,8,1,29,1,8,1,28,1,6,1,28,1,6,1,30,1,6,1,28,1,30,1,13,1,6,1,8,1,24,1,7,2,29,1,6,2,30,1,7,1,29,1,13,1,7,1,6,1,7,1,13,2,6,1,13,2,6,1,8,1,24,1,6,1,9,1,7,1,8,1,13,1,10,1,7,1,24,1,8,1,24,1,8,1,13,1,6,1,8,1,7,1,13,1,6,1,8,2,7,3,29,2,30,1,6,1,28,1,6,2,28,1,30,1,29,1,30,1,28,48,8,1,13,1,30,1,28,2,30,1,28,1,30,1,6,1,13,1,9,2,10,1,12,1,17,2,10,1,8,2,13,1,6,1,28,19,6,1,7,1,13,1,6,1,13,2,9,1,17,1,10,1,11,1,17,1,11,1,12,3,10,1,12,2,17,1,12,1,17,2,12,2,17,2,12,1,10,1,12,1,11,1,10,1,12,1,17,1,11,1,17,1,12,1,11,1,12,1,17,4,16,1,17,14,13,1,28,3,29,1,28,44,29,1,28,2,29,1,6,1,8,1,7,1,8,2,24,1,17,1,24,1,9,2,10,1,12,2,11,1,17,2,11,1,9,1,12,1,9,1,17,1,9,1,11,1,17,3,9,1,16,2,17,3,16,1,17,2,16,2,17,2,16,1,17,1,16,1,11,1,9,4,11,1,9,4,11,1,9,1,10,1,9,2,13,1,11,1,9,7,11,1,9,2,13,1,9,1,13,3,9,2,16,1,9,1,11,2,9,11,8,1,9,4,11,2,13,2,9,4,13,1,9,2,11,1,9,4,8,1,9,2,8,1,13,3,11,1,9,1,8,1,13,1,8,1,13,3,9,2,11,1,9,1,10,1,9,1,13,1,9,1,10,1,9,2,13,1,9,2,13,1,16,1,9,1,11,1,9,1,11,1,9,5,8,1,10,1,16,1,9,1,10,1,11,1,10,1,9,4,13,1,11,1,8,2,9,3,13,1,9,4,16,1,10,1,9,1,11,1,9,2,13,1,9,2,11,1,9,1,13,1,9,1,13,1,9,1,13,1,6,1,13,4,8,1,9,2,13,1,9,1,8,1,9,2,8,1,13,1,9,2,13,1,9,2,13,1,9,1,6,1,13,2,8,2,9,1,13,1,9,1,13,2,9,2,13,1,9,1,13,1,8,1,9,1,13,3,9,1,13,2,9,2,11,1,9,1,11,2,9,4,16,1,8,1,11,1,9,4,11,1,9,2,10,1,9,1,11,3,9,1,11,2,10,1,9,1,11,1,13,1,11,2,9,1,11,1,9,2,11,1,13,1,11,1,9,1,11,1,13,1,11,1,8,1,9,2,11,6,9,1,16,2,11,1,16,1,11,1,16,1,11,2,16,1,17,1,11,1,16,5,11,2,9,2,11,2,9,4,11,2,13,1,9,1,33,68,5,459,28,27,30,1,28,3,30,1,28,1,29,2,28,14,30,2,28,3,30,2,28,12,17,1,9,2,10,1,9,1,11,1,10,2,9,1,11,1,16,1,11,4,16,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,9,2,11,2,10,1,11,2,10,1,9,1,8,1,11,1,9,4,16,1,9,1,11,1,9,1,10,1,9,4,11,1,9,1,8,1,9,2,11,1,9,1,11,1,9,2,10,1,11,1,9,1,11,1,9,1,17,2,28,3,6,1,12,1,11,2,17,1,10,1,12,1,13,1,12,1,13,1,24,1,6,1,8,1,6,1,29,1,13,1,29,1,30,1,28,32,30,2,29,1,30,1,28,2,30,1,6,1,13,1,7,1,29,1,7,3,13,1,28,1,30,1,13,1,28,1,13,1,29,1,6,1,28,1,6,1,13,1,6,1,30,1,28,1,6,1,30,1,13,1,6,2,28,1,6,1,28,1,30,1,28,1,13,3,6,1,9,3,11,1,9,2,13,1,9,1,13,5,6,1,13,1,6,2,28,1,13,1,6,2,9,2,13,1,9,2,16,1,13,1,8,1,13,1,6,1,13,1,6,1,13,6,6,1,30,1,13,1,6,3,13,3,30,1,13,1,30,1,6,1,13,1,30,1,13,2,30,1,28,18,7,1,6,1,30,1,28,33,30,1,5,18,33,13,5,3,11,1,9,3,13,1,9,2,8,1,9,1,11,1,9,6,10,1,11,1,9,1,10,1,9,4,13,1,9,1,10,1,9,1,11,1,9,2,8,1,9,4,11,1,9,7,10,1,9,1,10,1,9,1,10,1,9,3,8,1,9,2,13,2,9,1,13,1,7,1,8,1,6,1,13,4,6,1,7,1,13,1,8,1,6,1,7,1,13,2,30,1,6,1,13,1,6,1,13,1,6,1,13,1,8,1,6,1,13,1,6,1,13,1,6,1,13,6,8,2,13,1,8,1,13,4,8,1,6,1,8,1,13,2,8,1,13,2,8,1,13,1,6,1,8,1,13,3,6,1,28,1,5,56,16,1,17,2,9,1,10,1,9,1,8,1,9,4,8,2,9,1,13,1,9,1,13,2,6,1,8,1,13,1,8,1,6,1,5,95,17,1,11,1,9,1,10,1,16,1,10,1,12,2,9,1,10,1,9,1,10,1,11,1,8,1,24,1,9,1,8,1,9,2,17,9,11,1,13,1,5,7,11,1,16,1,9,2,11,1,9,2,24,1,12,1,13,1,24,2,10,1,9,1,10,1,9,5,17,1,10,1,12,3,11,1,8,1,9,2,5,17,6,1,28,6,30,1,28,4,24,1,12,1,16,1,17,1,11,1,9,1,13,2,6,1,30,2,29,1,13,1,9,2,24,1,10,1,12,1,8,1,30,1,28,5,12,1,17,1,8,1,6,1,13,1,29,1,30,1,28,26,7,1,17,1,12,1,9,1,13,1,6,2,13,1,17,1,9,1,13,1,29,1,30,1,28,4,30,1,13,1,9,1,}, {29,1,28,3,8,1,10,1,9,1,6,1,28,2,6,1,30,1,28,1,10,1,8,1,28,39,30,1,6,1,8,3,24,1,17,1,9,1,30,1,28,2,30,1,28,1,30,1,13,1,9,1,8,1,6,1,7,1,6,1,7,1,13,1,6,1,7,1,8,1,7,1,29,1,12,1,10,1,29,1,6,2,28,2,13,1,11,1,12,1,17,2,9,1,12,1,9,1,13,1,9,1,8,1,10,1,12,1,8,1,16,1,11,2,17,1,14,2,11,1,8,1,6,1,28,3,30,1,28,2,30,2,28,1,30,1,28,13,29,1,24,1,9,1,17,1,9,1,17,1,11,1,24,1,30,1,6,3,29,2,8,1,9,1,17,3,9,1,8,1,16,1,8,1,24,1,9,2,8,1,9,1,13,1,24,1,10,2,12,1,13,1,29,1,28,4,30,1,28,6,30,2,8,1,10,1,11,1,16,2,17,1,16,3,11,1,16,1,17,1,16,1,11,1,17,1,16,1,8,2,13,1,9,3,13,1,9,5,13,2,6,1,9,1,13,1,9,2,8,1,13,1,9,1,13,2,9,1,13,1,8,1,13,1,16,1,17,2,11,1,16,1,17,2,11,1,9,1,11,1,12,1,10,1,12,1,17,92,16,1,17,12,11,2,30,1,7,1,30,2,6,2,28,1,29,1,6,1,30,2,29,1,30,1,29,2,6,1,29,1,30,1,29,1,30,1,28,4,30,2,28,4,30,1,29,1,28,7,30,1,28,36,29,2,28,2,29,1,28,1,29,2,28,1,29,3,28,3,6,1,29,1,13,1,29,4,6,1,13,1,7,1,6,1,29,2,6,1,29,1,6,1,13,1,30,1,6,1,28,1,13,1,6,1,29,1,30,1,6,1,29,2,7,1,6,1,8,1,7,1,13,1,29,1,13,1,29,1,13,1,6,1,30,1,7,1,6,2,7,1,6,1,30,1,13,1,29,1,13,1,6,1,8,1,24,2,13,1,24,1,13,3,24,1,13,2,24,1,13,1,10,1,13,1,8,2,13,2,7,1,13,1,6,1,7,1,28,1,30,1,28,59,29,1,13,1,28,1,29,1,28,2,29,1,6,1,30,1,6,1,9,1,17,4,9,1,8,2,9,1,7,1,6,1,28,22,30,1,6,1,30,1,28,1,6,1,13,1,10,2,11,2,12,1,17,4,11,3,17,2,10,1,12,1,17,2,12,1,11,2,12,1,11,1,12,1,9,2,17,1,12,1,17,16,16,1,17,1,11,1,17,1,6,1,30,2,28,6,6,1,29,1,28,40,30,1,8,1,7,1,13,1,8,1,24,1,8,1,10,1,24,1,8,1,17,1,10,1,11,1,10,2,17,2,9,1,12,1,11,2,17,2,16,1,17,2,13,1,10,1,11,1,10,1,9,1,8,1,9,1,11,1,16,1,11,1,9,1,16,2,17,1,11,1,17,1,16,2,11,2,17,1,16,1,17,1,9,4,8,1,9,2,8,1,9,5,13,1,9,1,10,1,9,3,11,2,13,1,9,1,13,1,9,2,10,2,11,1,9,3,11,2,9,2,8,1,11,1,9,6,13,1,8,1,13,1,9,2,8,1,9,2,8,1,9,6,11,1,8,1,9,1,13,1,8,1,9,2,11,1,9,3,8,1,9,2,13,1,8,1,9,2,13,6,9,2,11,1,8,2,9,1,13,2,9,7,13,1,8,1,13,1,8,1,9,1,13,1,10,1,9,1,11,2,9,2,10,1,8,1,9,5,10,1,9,1,8,1,9,1,8,1,11,1,9,3,13,1,9,5,11,2,9,4,11,1,8,1,9,1,13,1,9,2,13,1,9,1,13,2,8,1,9,1,11,1,9,3,13,1,9,3,13,1,9,4,10,1,8,1,9,3,8,1,9,2,8,1,9,3,13,1,9,3,11,1,13,1,9,4,8,1,9,2,11,1,13,1,11,1,13,1,9,4,11,4,9,1,16,1,9,3,11,2,9,2,11,1,13,1,11,1,9,1,11,1,16,1,10,1,11,2,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,2,9,3,16,2,11,1,9,1,11,2,9,2,10,1,9,2,11,3,9,1,11,4,16,1,11,1,16,4,17,1,16,5,9,1,11,3,9,1,11,2,9,1,11,2,13,2,33,71,5,456,6,1,28,27,30,1,29,1,28,3,6,1,30,1,13,1,30,1,28,1,29,1,28,13,30,2,28,3,6,1,28,10,9,1,17,1,9,2,11,1,10,1,11,2,10,1,11,1,16,1,11,1,16,1,10,1,16,1,11,2,9,1,11,2,9,1,10,1,9,3,11,1,10,1,9,2,10,1,11,2,9,2,11,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,11,1,9,1,10,1,9,4,10,1,9,3,11,3,9,1,11,1,9,3,17,2,16,1,28,2,6,1,13,3,11,1,10,3,12,1,24,1,8,1,13,1,7,3,6,1,28,1,6,1,28,30,30,1,28,5,30,1,28,5,30,1,7,1,30,1,6,1,13,1,7,1,6,2,28,1,29,1,28,1,6,1,13,1,29,1,30,1,7,1,13,1,28,2,13,1,6,2,28,2,6,2,30,1,6,1,28,1,6,1,13,4,9,1,13,1,9,1,13,1,11,1,13,1,9,2,6,1,13,4,6,1,30,1,6,1,13,1,6,1,28,1,13,1,6,1,13,2,8,1,9,2,8,1,9,1,13,7,6,3,13,1,6,2,30,2,6,1,30,1,28,1,13,1,6,3,13,1,6,3,13,1,6,3,30,1,28,51,6,1,33,1,5,21,33,11,5,2,9,5,11,1,9,2,11,1,9,3,11,1,9,4,11,2,9,1,10,1,9,3,11,2,9,1,11,1,9,1,8,1,9,1,8,1,13,1,9,6,11,1,13,1,9,10,8,1,9,2,8,1,13,2,9,1,13,1,7,1,8,2,7,1,6,1,13,1,8,1,6,1,13,1,6,2,29,1,6,2,8,1,6,1,7,1,29,1,6,1,7,1,13,1,6,3,7,1,13,1,7,1,6,2,13,1,7,2,8,1,13,7,8,1,7,1,9,1,13,2,9,2,13,2,8,1,13,1,9,1,13,3,9,1,13,1,28,1,13,1,33,1,5,54,17,3,11,1,10,2,9,2,10,1,9,2,8,1,7,1,8,1,13,2,7,1,30,1,8,1,13,3,5,95,11,1,16,1,11,1,9,1,11,1,9,2,17,1,12,1,17,1,9,1,11,1,10,1,9,1,10,2,9,1,10,1,9,2,17,8,16,1,9,1,5,10,16,1,11,1,9,1,11,1,9,2,10,1,13,1,11,1,9,1,10,1,9,1,11,1,24,1,12,1,9,1,12,1,11,1,9,2,10,2,9,1,10,1,9,1,13,1,33,1,5,16,30,1,28,11,13,1,11,1,17,1,10,1,12,1,9,1,8,1,9,1,28,1,6,1,28,1,29,1,6,1,9,1,11,2,16,1,17,1,9,1,30,1,28,5,10,1,17,1,10,1,8,1,7,1,28,1,30,1,28,26,13,1,17,2,8,2,30,1,6,1,7,1,24,1,8,1,13,1,30,1,28,4,29,1,30,1,8,1,9,1,}, {28,1,30,1,28,2,24,1,9,1,12,1,6,2,30,1,29,1,28,1,7,1,13,1,12,1,28,36,30,1,28,3,6,1,13,1,24,1,8,1,9,1,17,1,8,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,10,1,24,1,13,1,8,1,13,2,24,1,8,3,13,1,6,1,8,2,13,1,29,1,28,1,30,1,28,1,13,1,9,2,17,1,9,2,17,1,8,1,9,2,8,1,16,1,11,2,17,3,14,4,13,1,6,1,28,1,30,1,28,3,30,1,28,1,29,1,28,15,30,1,24,2,8,2,12,1,17,1,8,1,6,1,13,1,7,1,13,1,6,2,29,1,9,1,12,2,16,1,10,1,9,3,10,1,9,1,8,1,10,2,9,2,12,2,17,1,13,1,29,1,30,1,28,3,30,2,28,7,6,1,17,1,16,3,11,1,16,9,9,1,17,1,9,2,11,1,9,3,13,1,9,2,13,1,9,3,11,1,9,1,13,2,9,1,8,1,13,3,8,1,9,1,13,1,9,1,8,2,9,1,16,1,17,1,16,1,10,1,9,1,16,1,17,1,11,1,9,1,17,108,16,1,11,1,6,1,30,1,29,2,30,1,29,2,30,1,28,1,30,2,28,1,29,1,28,1,29,1,6,1,30,2,28,12,30,1,28,2,30,1,28,45,30,2,28,1,30,3,29,1,28,1,30,1,28,1,29,1,28,1,30,2,29,4,6,1,7,2,6,2,13,1,6,1,13,1,29,2,7,1,8,1,13,1,29,1,6,1,13,1,7,1,30,1,13,1,7,1,29,1,8,2,29,1,13,2,6,1,7,1,6,1,13,1,6,1,13,3,6,1,8,1,7,1,6,1,24,1,8,2,24,1,8,1,24,2,7,2,24,1,8,1,13,1,8,1,10,1,24,1,8,1,13,1,8,2,13,1,6,1,13,1,6,2,28,1,6,1,28,5,29,1,28,20,30,1,28,32,30,1,28,2,12,1,13,1,28,1,30,1,28,2,29,1,6,1,8,1,9,1,12,1,17,3,9,1,24,1,8,1,13,2,28,28,30,1,13,1,24,1,9,1,17,1,12,1,11,1,12,2,17,1,11,1,17,1,16,2,12,1,11,1,12,1,17,1,9,1,12,2,11,2,9,1,12,1,10,1,11,1,17,4,16,1,17,13,16,3,12,1,30,1,28,49,30,1,6,1,7,2,8,3,24,1,10,1,12,1,9,1,24,1,9,1,10,1,12,1,10,1,9,1,11,1,10,1,17,1,11,4,17,2,16,1,9,1,11,1,16,1,11,1,9,1,11,2,9,1,11,1,16,1,11,1,17,1,13,1,11,1,9,1,17,1,16,1,11,1,16,1,11,1,16,1,17,1,16,2,17,3,9,1,16,1,9,1,8,1,9,4,11,1,8,1,9,1,11,1,9,1,11,1,9,6,13,1,9,1,10,2,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,11,1,9,3,10,1,13,2,9,3,13,1,9,3,8,1,13,1,10,1,9,2,13,1,9,1,13,1,9,3,8,1,11,1,13,1,8,1,9,1,13,1,8,1,9,4,11,1,13,1,9,3,8,1,9,2,8,1,9,1,13,1,9,8,8,1,9,1,8,3,11,1,9,6,8,1,9,1,11,1,9,4,10,1,9,2,11,1,13,1,9,2,11,1,9,2,11,1,9,3,11,2,9,6,13,1,9,1,13,1,9,2,13,1,11,1,9,6,11,1,9,4,13,1,9,1,13,2,9,1,13,2,9,7,13,1,8,1,9,1,11,1,9,4,13,1,9,1,13,1,11,1,9,2,11,1,16,1,9,1,11,2,9,2,11,1,16,1,9,2,11,1,9,4,11,1,9,1,11,1,9,3,11,1,8,1,10,1,9,1,11,1,9,1,11,1,9,2,11,1,9,3,16,1,11,1,9,1,16,1,11,1,9,1,16,1,11,4,9,1,11,1,16,1,11,4,9,2,16,1,10,1,16,1,11,1,16,5,11,1,16,1,11,1,16,4,11,9,9,2,13,1,33,71,5,457,6,1,28,31,6,1,7,1,13,1,29,1,6,2,28,16,30,1,28,1,6,1,29,1,28,9,30,1,17,2,10,1,11,1,10,1,11,3,17,1,16,1,11,2,9,1,11,2,9,1,11,1,9,1,11,1,9,5,11,1,10,1,9,1,11,1,9,1,10,1,11,3,16,1,11,1,9,6,11,3,9,2,11,2,9,2,10,1,9,1,11,1,9,2,11,1,9,3,10,1,9,1,11,1,17,2,28,3,7,1,13,1,6,1,13,1,8,1,10,1,9,1,11,1,12,1,10,1,24,1,9,1,8,1,13,3,28,1,7,1,30,1,28,31,6,1,30,1,28,13,6,1,30,1,28,1,30,2,7,1,13,1,7,1,28,2,13,1,6,1,30,1,28,2,6,1,28,2,30,1,6,2,30,1,28,1,6,1,30,1,28,1,13,1,6,1,13,2,9,1,13,4,9,3,13,1,9,2,13,4,6,1,30,1,6,2,13,1,8,1,13,1,9,4,13,2,30,1,13,5,6,2,13,1,30,2,13,1,30,1,13,3,30,2,28,1,13,1,6,2,13,1,30,1,6,1,13,1,6,1,13,4,6,1,30,1,28,50,30,1,33,1,5,24,33,10,5,2,9,4,11,1,9,1,11,1,9,1,11,1,9,1,11,3,9,7,11,2,9,2,8,1,13,2,9,1,13,1,11,1,8,1,11,1,13,1,9,10,8,1,9,3,13,1,9,1,13,1,9,1,13,5,8,1,13,1,7,1,13,1,8,1,6,1,8,1,7,1,13,2,6,1,13,1,6,1,7,2,6,1,7,1,6,1,30,1,13,1,7,1,8,1,13,1,7,1,6,2,8,1,29,1,13,1,7,1,13,2,8,1,13,1,8,1,13,4,7,1,13,2,8,1,13,2,8,1,13,3,9,1,13,7,30,1,6,1,5,54,17,2,9,6,11,1,9,1,13,2,8,2,13,1,29,1,13,4,5,97,9,1,11,1,9,2,12,2,10,2,12,1,17,1,9,1,12,1,9,4,11,1,9,2,17,9,16,2,5,12,16,1,11,1,9,2,13,1,9,4,10,1,9,1,12,1,11,2,9,1,11,1,10,1,9,1,11,1,24,1,9,1,13,1,9,1,28,1,5,16,6,1,28,11,8,1,17,3,10,1,9,2,13,1,6,1,13,1,6,1,7,1,13,1,10,1,9,1,13,1,12,1,9,1,13,1,28,6,9,1,17,1,8,1,13,2,28,28,11,1,17,1,9,2,13,1,6,1,28,1,8,1,9,1,8,1,13,1,29,1,28,4,6,1,13,2,8,1,}, {29,1,30,1,6,1,28,1,7,1,9,2,6,1,13,1,6,1,30,1,6,1,13,1,24,1,9,1,30,1,28,35,30,1,28,2,29,1,30,1,13,1,8,2,9,1,14,1,8,1,29,1,30,1,28,1,6,1,28,1,30,1,7,1,9,1,8,3,13,1,29,1,6,3,8,1,7,1,13,1,9,1,15,1,8,1,7,1,28,1,30,1,6,1,13,1,24,1,17,2,11,1,10,1,17,1,9,5,11,1,17,2,16,1,17,1,14,4,13,1,30,2,28,2,30,1,28,2,30,3,28,3,30,1,28,1,30,1,28,2,30,1,28,4,30,1,6,1,8,1,10,1,12,1,10,1,12,1,10,1,8,1,13,1,6,1,7,1,6,1,28,1,6,1,13,1,9,1,17,1,16,1,17,1,9,1,11,1,10,1,8,2,9,3,11,2,9,1,10,1,17,2,8,1,7,1,28,1,30,1,28,8,30,1,29,1,30,1,13,1,9,1,11,1,17,2,9,2,11,1,16,2,11,2,16,2,17,1,16,1,11,2,9,4,11,1,9,3,11,1,9,1,11,1,8,1,9,1,13,1,9,2,13,2,8,1,9,1,13,2,9,7,17,2,16,1,11,1,17,113,16,1,8,1,7,2,30,1,28,1,6,1,28,1,29,1,30,3,28,1,30,1,28,1,29,3,28,1,30,1,28,3,30,1,28,3,30,1,28,3,30,1,28,38,6,1,28,2,29,1,30,1,28,5,29,1,28,3,8,1,28,1,6,1,29,2,28,1,6,1,29,1,7,1,30,1,29,1,6,1,29,1,6,1,7,1,13,1,7,1,6,1,7,1,13,1,6,1,7,1,13,1,8,2,7,2,13,1,7,1,30,1,6,1,7,1,6,1,7,3,13,2,7,1,8,2,13,3,7,1,8,1,6,1,13,1,6,1,13,2,8,1,9,1,8,1,24,1,7,1,8,1,7,1,8,1,7,1,13,1,24,1,7,1,24,2,6,1,13,1,8,3,7,1,13,1,29,1,6,1,28,1,29,2,28,24,29,1,28,38,13,1,8,1,28,1,30,1,28,2,6,1,13,1,9,1,12,1,17,4,24,1,9,1,13,1,6,2,28,30,30,2,9,1,12,1,17,2,12,2,17,2,16,1,9,1,12,1,11,1,16,1,11,1,16,1,9,1,10,1,12,3,11,1,12,4,17,8,16,1,17,7,16,2,11,2,28,13,30,1,28,34,30,1,6,1,28,1,13,1,7,1,13,2,24,2,9,1,12,1,9,1,10,1,9,2,10,1,9,2,11,1,17,1,12,3,17,1,16,2,17,1,9,1,13,1,9,1,11,1,9,3,13,1,9,6,8,1,9,1,11,1,8,1,11,1,9,3,11,1,9,2,16,2,11,1,16,1,17,1,16,1,17,2,16,1,9,1,16,1,11,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,11,1,9,5,11,1,13,1,9,4,11,2,10,1,9,2,11,1,9,1,11,1,9,6,13,3,9,2,13,1,9,1,10,1,11,1,9,3,10,1,9,2,8,1,11,1,9,3,13,1,10,1,9,3,11,1,13,1,9,2,13,1,9,2,8,1,13,1,8,1,9,1,8,1,9,2,11,1,13,1,6,1,9,1,8,1,9,4,10,1,9,1,8,1,9,8,8,1,9,2,8,1,9,2,8,1,9,1,13,1,9,1,13,1,11,1,13,1,9,7,10,1,9,1,11,1,13,1,9,2,13,1,9,3,11,1,9,1,11,2,9,1,8,1,9,1,8,1,13,1,10,1,9,1,13,1,10,1,9,1,13,1,9,3,13,1,11,1,9,1,8,1,9,1,10,1,9,1,13,1,9,2,8,1,9,1,8,1,9,4,11,1,8,1,9,1,13,2,10,1,9,2,11,1,9,3,13,1,9,2,13,1,9,4,11,1,8,2,9,1,11,2,9,1,13,1,11,2,9,1,11,1,9,3,13,1,9,1,13,1,11,1,9,2,8,2,9,4,11,1,9,6,11,1,9,2,11,1,13,1,16,1,9,1,10,1,11,1,10,1,16,1,9,1,10,1,9,1,11,2,16,1,11,1,9,1,10,1,9,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,16,5,11,1,16,5,9,1,11,1,10,1,11,3,9,1,11,1,9,1,13,1,9,1,5,1,33,70,5,458,28,32,6,2,8,1,6,1,29,1,30,1,28,15,29,1,13,1,30,1,28,11,17,1,11,1,9,1,10,1,11,1,9,1,11,1,17,2,11,4,9,1,11,3,9,1,10,1,9,3,10,1,11,1,8,1,9,2,10,2,11,1,9,1,11,5,9,6,10,1,9,1,11,1,9,5,11,1,9,1,10,1,9,5,11,2,9,2,17,2,11,1,28,2,30,1,7,1,13,3,8,1,9,1,11,1,12,1,10,2,9,1,13,2,6,2,7,1,30,2,28,50,29,1,30,1,13,1,29,1,30,1,28,3,6,2,28,1,6,1,28,1,6,2,30,3,13,1,30,1,28,1,30,2,13,6,9,1,11,1,9,2,13,1,9,1,13,2,9,1,13,2,6,5,13,1,6,2,13,1,6,1,16,1,13,2,9,2,13,1,6,1,13,1,6,1,28,1,6,1,9,1,13,4,30,1,6,1,30,1,13,3,28,2,6,1,13,3,30,1,13,1,30,1,13,1,30,1,13,2,6,2,13,1,6,1,28,50,30,1,5,32,33,4,5,3,9,1,11,1,16,1,9,3,11,1,9,1,11,3,9,2,11,1,9,2,11,1,9,1,11,1,9,11,8,1,13,1,9,2,8,1,9,3,8,1,9,2,8,1,9,1,8,1,13,1,8,2,13,1,8,1,13,1,8,1,13,1,7,1,13,1,7,1,13,1,7,1,6,1,13,1,6,2,13,1,30,1,7,1,6,2,7,1,8,1,6,1,13,1,7,1,13,1,30,1,7,1,8,1,7,1,8,1,6,1,7,1,13,1,7,1,6,1,13,4,8,1,13,5,7,1,13,9,8,1,13,8,6,2,5,52,16,1,17,1,10,1,9,5,8,1,13,3,8,1,7,1,6,2,29,1,13,2,5,98,33,1,9,1,17,1,8,1,10,1,12,1,11,1,17,1,9,1,12,1,17,1,10,1,17,2,11,1,8,1,12,1,11,1,10,1,17,3,11,1,17,1,12,1,17,2,16,2,11,1,17,1,16,1,5,12,16,1,9,4,10,2,9,3,11,2,12,1,10,1,9,1,8,1,9,5,5,17,6,1,28,11,8,1,17,2,16,1,8,2,13,2,6,1,29,1,13,1,7,1,8,1,9,1,24,1,8,1,17,1,10,1,8,1,28,5,30,1,10,1,12,1,8,1,7,1,6,1,28,1,30,1,28,26,16,1,17,1,10,1,11,1,13,1,6,1,30,1,8,1,9,1,8,1,13,1,28,5,6,1,7,1,8,2,}, {29,2,30,1,29,2,10,1,15,1,8,1,9,1,6,2,30,1,6,1,10,1,9,1,29,1,28,35,30,1,28,3,29,1,13,2,24,1,17,1,15,1,9,1,30,2,28,3,29,1,30,1,12,1,9,1,7,1,13,2,6,1,13,2,7,1,8,1,6,2,9,1,17,1,9,1,6,2,29,2,6,1,13,1,8,1,12,3,9,1,10,1,9,1,11,1,8,1,11,1,10,1,17,3,16,1,17,2,14,2,8,1,6,1,29,1,28,2,29,1,28,1,30,1,29,1,28,16,8,1,7,1,8,1,9,2,12,2,9,1,13,1,30,1,6,1,30,1,6,1,7,1,6,1,9,1,12,1,17,2,11,1,9,2,8,1,11,1,9,3,17,1,9,2,17,1,12,1,17,1,13,1,30,2,28,8,30,1,28,3,6,1,11,1,17,1,16,2,11,1,16,1,11,2,16,2,11,1,17,2,16,1,11,2,9,2,13,1,16,1,9,3,10,1,9,1,11,1,8,1,9,3,8,2,9,2,13,1,8,1,9,1,13,3,9,1,8,1,9,1,11,1,9,2,8,1,11,1,17,99,16,1,17,2,16,1,17,14,9,1,7,1,29,1,28,1,6,2,28,1,30,1,28,2,30,2,28,2,30,4,28,33,29,1,28,14,30,1,28,2,29,1,28,4,30,1,28,2,29,1,30,1,28,1,6,1,7,1,28,2,30,1,29,2,30,1,29,2,6,2,7,2,6,1,13,2,6,1,7,1,13,4,7,1,6,1,7,1,13,1,6,1,24,1,13,1,7,1,13,1,6,1,24,1,8,1,6,1,24,1,13,2,8,1,13,1,7,2,8,1,13,3,8,1,7,1,24,2,6,1,13,1,8,1,9,1,8,1,24,1,13,2,8,2,6,1,13,1,8,2,24,2,13,2,24,1,13,1,30,1,6,1,28,1,30,2,28,66,8,1,11,1,6,1,28,1,6,1,28,2,6,1,9,1,17,4,11,1,8,2,13,1,29,1,28,34,29,1,9,1,17,1,12,2,10,1,16,1,17,2,12,1,17,1,12,1,16,1,11,1,12,1,10,3,11,1,12,1,11,1,12,2,17,2,16,1,17,11,16,3,17,1,16,1,17,1,13,1,29,1,28,1,30,1,28,45,30,1,29,1,28,1,7,2,8,1,13,1,24,1,9,1,10,1,12,1,13,1,12,4,17,1,12,1,9,1,17,1,12,1,10,1,17,1,12,1,11,1,17,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,11,1,9,1,11,1,8,1,11,1,9,1,11,1,9,4,11,2,13,1,9,1,11,1,9,3,11,1,9,1,16,5,11,1,16,1,17,2,9,4,11,1,9,2,11,1,9,7,10,2,9,5,11,1,9,2,11,2,8,1,9,1,11,1,10,1,8,1,9,2,11,1,9,2,8,1,9,2,10,1,13,1,9,1,11,1,8,1,9,3,13,1,9,1,8,1,9,3,8,1,11,1,9,2,11,1,9,1,8,2,13,2,9,1,13,2,9,1,8,1,11,1,9,5,8,1,9,2,8,1,9,1,8,1,9,3,11,1,9,1,13,1,9,1,11,1,9,4,8,1,13,2,9,1,8,1,9,4,13,1,9,1,13,1,9,2,8,1,9,1,11,1,16,1,9,2,13,1,9,2,11,1,9,4,13,1,11,1,9,2,8,1,13,1,11,1,8,1,13,1,9,1,11,1,9,2,13,1,9,5,11,1,9,1,11,1,9,1,8,1,9,1,13,1,16,1,9,1,11,1,8,1,13,2,9,3,8,1,9,1,11,1,13,1,8,1,10,1,8,1,9,2,8,1,9,4,11,2,9,2,10,1,9,3,11,1,9,1,10,1,9,2,11,1,10,1,11,1,9,1,16,1,9,1,10,1,9,1,13,1,9,2,8,1,9,3,13,1,9,1,11,1,9,2,11,1,9,1,16,1,9,1,13,1,11,1,10,1,9,2,10,1,11,2,9,3,11,1,16,1,9,1,11,1,9,6,11,1,9,1,11,2,10,1,16,4,11,1,16,1,11,1,16,5,17,1,16,3,11,2,16,1,11,6,9,2,13,1,9,2,33,72,5,456,28,29,30,1,28,4,6,1,29,1,7,1,6,1,30,1,28,5,30,1,28,8,30,1,28,13,9,1,17,1,11,1,9,1,11,1,10,1,11,1,16,2,9,2,10,1,11,1,9,3,10,1,9,5,11,1,10,1,9,5,10,1,11,1,9,2,10,1,9,3,10,1,11,1,9,1,11,2,10,1,9,2,11,2,9,5,10,1,9,1,10,1,9,1,11,1,9,5,11,1,17,2,28,3,30,1,8,1,29,1,8,1,13,2,10,1,12,2,10,1,9,1,10,1,7,1,6,1,13,1,6,1,28,3,30,1,28,4,6,1,28,4,30,1,28,39,30,1,28,7,30,1,28,3,30,1,6,1,30,2,28,1,13,1,30,1,6,1,30,2,6,2,13,7,9,1,13,4,9,1,13,2,6,1,13,2,9,1,13,2,9,1,6,1,13,3,9,3,13,1,9,1,13,2,6,2,13,1,6,1,13,3,6,1,13,1,6,1,28,1,30,1,13,2,6,1,30,1,13,6,6,1,13,3,28,1,6,3,13,2,6,1,13,2,28,1,6,1,30,1,28,44,6,1,33,1,5,37,33,1,5,10,33,11,5,2,9,1,6,1,13,2,11,1,9,2,13,1,8,1,9,1,8,2,9,2,13,1,9,3,8,1,9,1,8,1,13,1,8,2,13,9,7,1,6,1,7,1,30,1,8,1,6,1,13,1,7,1,29,2,8,1,6,4,7,1,6,2,30,1,7,1,6,1,7,1,6,2,13,1,7,1,13,1,7,1,13,2,7,1,13,1,7,1,13,6,7,1,13,10,8,1,13,5,9,1,5,52,11,1,17,1,9,5,8,1,13,1,7,1,8,1,9,1,13,1,30,1,28,2,6,1,5,100,9,1,16,1,10,2,9,1,10,1,11,1,9,1,12,2,11,1,12,2,11,2,9,1,10,1,11,1,17,1,12,1,11,1,17,2,10,1,12,1,17,1,12,1,17,1,11,3,16,1,11,1,5,13,11,3,9,2,10,2,9,1,12,2,11,1,9,1,8,2,9,2,8,1,13,1,5,17,13,1,28,11,8,1,14,2,12,1,9,1,13,1,9,1,30,1,6,5,13,1,9,2,10,1,17,1,13,1,28,6,17,1,10,1,7,1,6,1,29,2,28,1,30,1,28,25,10,1,17,2,9,1,13,1,7,1,8,1,13,1,9,1,13,2,28,5,30,1,13,2,9,1,}, {6,1,29,1,6,2,24,1,9,1,12,1,13,1,24,1,13,1,7,1,29,1,8,1,12,1,8,1,29,1,28,36,30,3,7,1,8,3,12,1,15,1,9,1,6,1,28,2,30,1,28,1,30,1,7,1,8,1,9,1,6,1,24,1,13,1,24,1,6,1,13,1,7,1,8,1,7,1,29,1,8,1,24,2,13,1,30,1,13,1,29,1,7,1,13,1,10,1,17,1,12,2,10,1,11,1,9,4,17,7,14,2,29,1,13,1,28,1,30,1,28,6,29,1,28,14,6,1,8,1,24,1,11,1,9,1,12,1,10,1,9,1,7,1,6,1,29,1,6,1,30,1,13,1,7,1,9,1,17,3,16,1,12,1,9,2,11,1,8,1,9,3,16,1,9,1,17,3,8,1,29,2,28,2,30,1,28,8,7,1,6,1,10,1,11,2,16,2,11,1,16,1,11,2,9,1,10,1,11,1,8,2,11,1,10,1,13,1,9,1,8,1,9,6,11,1,9,2,13,1,9,1,13,2,8,1,9,1,16,1,9,1,8,1,9,2,13,1,9,1,13,1,16,1,9,1,11,1,16,1,9,2,16,1,17,98,16,3,17,16,13,1,30,3,29,2,28,1,6,1,29,2,28,1,29,1,28,1,30,1,28,1,29,1,28,15,29,1,28,31,30,1,28,5,27,1,29,1,30,1,29,1,28,1,30,1,28,1,6,1,30,1,29,1,28,1,6,1,29,1,30,1,29,1,6,2,30,1,13,1,7,1,6,1,8,1,29,1,13,1,7,1,6,1,13,1,7,1,8,2,7,1,8,1,13,2,6,2,13,3,7,2,13,1,7,1,13,1,29,1,6,1,13,1,6,1,13,2,7,1,13,3,29,1,7,2,8,1,6,1,24,1,6,1,24,2,8,1,6,1,24,1,8,1,6,1,7,1,8,2,24,1,29,1,8,1,24,1,7,1,6,1,13,1,6,1,28,1,29,1,30,1,6,1,28,1,29,1,28,67,8,1,17,1,30,1,28,1,29,1,30,2,13,1,9,1,17,3,12,1,13,1,8,1,6,1,7,1,30,1,28,37,7,1,8,1,17,1,10,1,17,1,11,1,12,1,11,1,12,1,10,2,12,2,16,1,11,1,10,1,12,1,11,1,17,2,16,2,17,4,16,2,17,3,16,1,17,2,16,1,17,1,16,1,17,1,11,1,17,1,7,1,30,1,28,46,30,1,28,1,6,1,7,1,6,1,7,1,24,1,9,1,10,2,17,1,9,1,12,2,10,1,12,1,8,1,11,2,12,1,10,1,17,1,11,1,17,3,16,1,8,1,13,1,11,1,9,2,16,1,13,2,11,1,8,1,13,1,9,2,11,1,13,1,9,4,13,1,9,1,13,1,9,2,11,1,16,1,13,1,11,2,9,1,8,1,13,1,11,1,9,2,11,1,9,1,11,1,9,1,17,1,8,1,9,3,13,1,9,1,10,1,9,1,11,1,9,4,11,1,9,2,16,1,9,1,8,1,9,1,11,2,9,2,11,1,8,1,13,1,9,3,11,1,9,1,13,1,9,4,10,1,9,1,11,1,9,12,13,1,9,2,10,1,9,1,11,1,9,2,13,1,9,2,13,2,9,1,13,1,8,1,9,1,11,1,9,1,8,1,9,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,9,1,8,1,9,8,10,1,9,3,10,1,9,2,13,1,9,1,13,1,11,1,9,1,13,1,10,1,9,5,11,1,9,3,8,1,11,1,9,1,11,2,9,3,13,2,10,1,9,2,13,2,9,3,13,2,8,2,13,1,9,1,13,1,9,1,13,2,9,1,13,2,9,2,8,1,13,1,9,1,13,1,9,3,13,2,9,5,13,1,8,1,13,1,9,1,11,1,9,1,10,1,11,1,9,11,11,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,13,1,11,1,9,2,11,1,9,3,11,1,9,1,11,1,9,1,11,2,9,2,11,1,9,1,11,1,9,2,11,1,9,1,11,1,8,1,10,1,9,5,16,1,9,4,11,1,9,1,16,1,9,1,16,1,11,2,9,1,16,4,11,1,16,6,11,2,16,3,11,2,10,1,9,5,13,1,33,73,5,455,13,1,28,28,30,1,28,2,30,1,7,1,6,1,7,1,6,1,29,1,30,3,28,4,30,1,28,7,6,1,28,14,11,1,17,1,11,2,9,1,10,2,9,1,16,1,11,1,9,6,11,1,9,14,11,1,9,3,11,2,9,2,10,1,9,4,11,1,10,1,11,1,9,1,11,1,8,1,11,1,9,5,11,1,9,5,17,2,8,1,28,3,13,1,6,1,8,1,9,1,13,1,8,1,24,2,8,1,24,2,13,4,29,1,28,4,30,1,29,1,28,1,30,4,28,50,30,1,28,2,30,1,6,1,30,2,28,1,30,1,28,1,30,2,6,1,28,1,6,1,13,1,6,1,13,2,9,1,13,3,9,1,13,1,9,1,13,1,9,1,13,3,9,1,6,2,13,1,30,2,13,2,6,1,13,3,9,1,6,1,13,1,9,2,6,1,13,1,28,1,30,1,13,1,6,1,13,1,6,3,13,1,6,2,13,1,30,1,13,1,6,3,9,1,6,1,13,1,11,1,9,1,13,4,30,4,13,5,30,1,6,1,13,1,30,3,28,41,13,1,5,41,33,21,13,1,30,1,28,2,13,1,9,2,13,2,9,1,13,2,9,2,13,1,9,3,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,13,1,7,2,13,2,6,4,29,1,6,2,29,1,7,1,6,3,29,1,6,1,7,2,6,1,7,2,30,1,6,1,7,1,6,1,29,1,13,2,6,1,8,1,7,1,13,4,7,1,13,1,7,1,13,1,8,1,13,2,8,1,13,2,8,1,7,1,13,12,5,50,13,1,17,2,10,1,9,3,13,1,7,1,8,1,13,3,6,1,30,3,5,101,9,1,16,1,10,1,9,1,11,1,9,1,10,1,9,1,12,1,9,1,12,1,10,1,17,3,12,3,17,1,12,1,11,2,10,1,11,1,12,1,11,2,17,1,12,1,11,1,16,5,5,11,16,2,11,2,9,2,24,1,17,1,10,2,12,1,8,1,10,1,13,1,10,1,13,1,9,1,5,17,13,1,30,1,28,10,9,1,14,1,16,1,9,2,7,1,8,1,7,1,6,1,29,1,13,1,6,1,13,1,9,2,10,1,16,1,17,1,6,1,28,5,29,1,17,1,10,1,8,1,6,1,30,1,28,28,17,3,9,1,8,1,29,2,13,1,12,1,8,1,7,1,30,1,28,5,7,1,24,2,}, {6,1,29,1,6,1,28,1,6,1,15,1,8,1,15,1,6,1,8,1,30,1,6,2,15,1,9,1,6,1,28,34,30,2,28,3,7,1,13,1,24,1,8,1,12,1,17,1,13,1,6,1,30,2,28,3,7,1,12,1,9,1,13,2,7,1,13,3,8,1,24,1,13,1,28,1,8,1,17,1,9,1,13,1,30,1,6,1,30,1,13,1,12,1,9,1,11,1,17,1,11,1,17,2,9,3,10,1,17,7,14,2,8,1,13,1,29,1,28,1,30,1,28,4,30,1,28,1,30,1,6,1,29,1,28,8,30,1,28,1,30,1,6,1,9,1,11,1,24,1,10,1,9,1,17,1,10,1,6,6,7,1,8,1,17,4,9,1,8,2,9,3,12,1,16,1,12,1,11,1,16,1,17,2,9,1,6,1,30,1,28,1,30,1,28,8,30,1,13,1,30,1,8,1,16,1,11,2,17,1,11,1,17,1,11,1,8,1,11,1,8,1,17,1,9,2,16,2,9,1,16,1,9,2,11,1,9,1,13,1,9,4,8,1,13,1,9,1,13,1,9,2,11,2,8,1,9,1,8,1,9,1,13,1,9,2,11,1,9,1,13,1,9,2,10,1,9,1,11,2,17,35,16,1,17,4,16,2,17,53,16,1,17,1,16,1,17,5,16,1,17,7,16,1,17,4,7,1,6,1,29,1,6,1,29,1,30,1,28,2,6,1,28,1,6,1,30,1,28,55,29,1,28,1,30,2,28,2,30,1,28,2,30,1,7,1,6,1,29,1,30,1,28,1,29,1,8,1,6,1,13,1,7,1,13,1,24,1,13,2,24,1,9,1,13,1,8,2,13,3,6,1,7,1,8,1,6,1,8,1,13,2,8,2,13,2,6,2,13,1,7,1,8,1,24,1,8,1,13,1,24,1,8,1,13,1,7,1,8,2,13,1,8,1,13,1,8,1,13,1,7,1,13,1,9,1,6,1,13,2,8,1,7,1,13,1,7,1,13,1,24,1,8,2,13,1,29,1,30,1,28,1,30,1,28,1,30,3,28,68,6,1,9,1,28,1,30,2,6,1,7,2,8,1,17,2,11,1,10,1,7,3,6,1,30,1,28,35,29,1,28,3,6,1,24,1,9,1,12,1,17,1,12,1,17,1,9,1,12,1,10,1,9,1,17,1,9,1,11,1,9,1,17,16,16,2,17,1,16,4,30,1,28,46,29,1,28,1,30,1,6,1,13,3,24,2,12,1,24,1,9,1,17,1,11,1,9,1,17,3,9,1,12,1,16,1,17,1,12,1,9,1,17,2,16,1,9,2,13,2,6,1,8,1,11,1,8,1,11,1,9,1,13,2,9,3,13,1,8,3,13,4,8,1,9,1,13,1,9,2,11,1,16,1,9,1,16,1,9,3,16,2,9,1,11,1,9,1,8,1,11,1,9,1,11,2,9,1,11,1,17,1,9,1,16,1,11,1,17,1,11,1,16,2,11,1,17,3,16,1,17,2,16,2,17,1,11,2,9,3,11,1,9,3,11,1,9,1,11,2,16,1,9,2,11,1,13,1,9,2,11,1,9,6,11,1,9,1,11,2,13,1,9,1,11,1,10,1,13,2,9,1,13,2,8,1,11,1,9,5,8,1,9,2,11,1,10,1,9,1,11,1,10,1,9,1,11,1,8,1,9,7,11,1,9,3,16,1,9,1,11,1,9,2,16,1,9,2,8,1,9,1,13,1,9,1,11,1,9,1,8,1,9,1,13,1,9,2,13,1,11,1,9,3,13,1,9,2,13,1,9,2,8,1,10,1,9,4,10,1,9,1,13,2,9,2,13,1,11,1,13,1,9,2,11,1,9,5,11,1,8,1,9,2,11,1,8,1,13,1,9,1,13,1,9,7,13,1,11,1,9,4,13,1,9,2,11,1,9,1,11,1,9,4,13,1,8,1,11,1,9,1,10,1,11,1,10,1,9,5,13,1,9,4,13,1,9,2,8,1,11,1,13,1,11,1,10,1,9,1,11,1,9,3,11,2,9,1,11,4,10,1,11,6,9,1,16,1,11,1,9,2,8,1,9,4,16,1,11,2,16,10,11,1,16,3,11,2,16,1,11,1,16,1,9,2,11,1,9,4,5,1,33,80,5,447,13,1,28,32,30,1,29,1,30,1,6,1,28,1,6,1,30,3,6,1,30,2,28,2,7,1,28,20,30,1,17,2,9,2,10,1,11,3,9,1,8,1,9,5,10,1,9,4,10,1,13,1,9,4,11,1,9,1,10,1,9,2,10,1,9,2,11,2,9,3,11,1,10,2,9,1,11,1,9,1,10,1,11,2,9,1,11,1,9,3,11,1,9,1,11,3,9,1,11,1,9,1,17,3,28,3,6,1,13,1,7,1,8,2,13,2,8,1,24,3,13,1,9,1,13,1,7,2,6,1,28,6,6,1,28,1,30,1,28,28,30,2,28,1,30,1,28,10,30,2,28,9,13,1,6,1,30,1,28,1,6,2,30,2,6,1,30,2,6,1,30,2,13,1,30,1,13,4,9,1,13,3,9,1,13,7,6,1,13,1,30,1,28,1,6,2,13,1,6,1,13,2,11,1,13,1,9,1,13,1,6,1,9,1,13,2,28,2,6,1,13,6,6,1,28,2,6,2,30,1,13,1,6,1,13,2,6,1,9,1,13,1,6,2,13,4,28,1,30,2,6,1,13,1,30,1,13,5,6,2,13,3,28,37,5,49,33,16,13,1,28,2,6,1,5,1,13,1,9,1,13,2,9,1,13,1,9,3,13,1,9,3,13,1,8,1,13,1,8,2,7,1,8,1,6,1,13,2,6,1,29,1,7,1,13,2,7,1,6,1,29,1,6,2,29,1,6,1,30,1,6,1,13,1,29,1,6,3,7,1,30,1,7,1,6,1,29,4,13,1,7,1,8,1,13,4,7,2,13,6,6,1,7,1,13,1,7,2,13,3,6,1,13,2,7,1,13,1,6,1,13,2,9,3,5,49,13,2,8,1,9,3,13,3,7,2,6,1,30,1,6,1,28,2,5,102,11,2,10,1,9,1,11,1,9,2,10,1,9,1,12,1,10,2,17,4,12,2,11,2,9,1,11,1,10,1,9,2,11,1,10,1,16,1,12,1,17,1,11,1,12,1,11,1,16,4,9,1,13,1,30,1,5,7,9,1,11,2,9,1,11,1,8,1,9,1,11,1,12,1,10,1,16,1,9,3,5,18,6,1,28,10,6,1,9,1,14,1,9,1,14,1,8,1,13,1,8,1,6,3,13,1,24,1,13,1,8,1,11,2,17,1,12,1,13,1,28,5,30,1,17,1,12,1,8,1,30,1,6,1,28,28,14,1,17,2,11,1,8,1,7,1,29,1,13,1,9,1,24,1,13,1,28,5,30,1,6,1,7,1,9,1,}, {30,1,6,2,29,1,6,1,9,1,15,1,12,1,13,1,7,1,29,1,28,1,13,1,24,2,7,1,28,33,30,1,28,5,6,1,8,1,9,1,8,1,12,1,14,1,9,1,6,1,28,2,29,1,6,1,29,1,13,1,24,1,9,1,6,1,8,1,29,1,13,1,8,1,9,1,10,1,8,3,6,1,17,1,8,1,13,1,6,1,7,1,6,2,9,1,11,1,12,1,17,3,12,3,9,1,16,1,17,8,14,1,9,1,13,1,28,2,30,1,28,1,30,1,28,2,30,1,28,13,29,1,28,1,7,1,24,3,12,1,9,1,12,1,16,1,6,1,13,1,7,1,6,3,9,1,12,1,17,3,9,1,17,1,9,1,8,1,9,2,16,1,11,1,9,1,16,1,9,1,16,1,12,1,17,1,8,1,6,1,29,1,30,1,28,3,30,1,28,5,29,1,13,2,12,1,16,2,11,2,16,1,11,1,17,1,16,3,11,1,9,1,17,1,8,1,16,1,9,1,16,1,9,3,11,1,16,1,9,1,11,1,17,1,9,2,16,1,13,2,9,2,13,1,9,1,13,1,9,1,8,1,13,1,9,3,11,1,13,1,9,3,16,1,11,1,10,1,9,1,16,1,11,1,17,37,16,3,17,25,16,1,17,26,16,1,17,1,16,3,17,18,13,1,30,1,29,1,28,2,29,1,28,2,6,1,30,1,28,3,30,1,28,52,30,1,28,7,6,1,8,1,13,1,6,2,29,1,8,1,24,2,7,1,24,1,13,1,8,1,24,2,8,1,24,1,13,1,8,1,7,1,9,1,13,1,8,1,24,2,10,1,13,1,8,2,13,1,8,1,9,1,8,3,7,1,13,1,8,3,13,1,8,1,24,1,13,1,6,1,8,2,13,1,6,1,8,2,13,1,8,1,6,1,24,1,7,1,8,1,6,1,8,1,13,1,24,1,13,1,8,1,24,1,8,1,6,1,30,1,28,1,30,2,28,1,29,1,28,6,30,1,28,67,13,1,30,1,28,1,29,1,13,1,7,2,13,1,9,1,13,1,12,1,13,1,24,1,7,2,28,37,30,1,28,5,30,1,13,1,9,1,12,1,17,1,12,1,9,2,11,2,12,1,17,1,12,1,11,2,17,13,16,5,17,2,13,1,28,9,30,1,28,35,30,1,28,1,30,1,28,1,29,1,6,1,8,1,13,1,8,1,12,1,8,1,9,1,24,1,9,1,12,1,17,1,10,1,9,1,10,2,9,1,12,1,11,1,17,1,16,1,11,1,17,1,11,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,13,1,16,1,8,1,16,1,9,2,13,1,9,2,13,1,9,1,30,1,6,1,13,3,9,1,13,2,10,1,9,1,13,1,10,1,8,1,11,1,9,3,10,1,16,1,9,1,11,2,13,1,9,1,16,1,9,3,11,3,16,1,11,1,10,1,11,3,16,1,9,1,17,2,11,1,17,1,11,1,16,1,17,1,11,1,17,2,10,1,9,2,10,1,9,1,11,1,8,1,9,1,8,1,10,2,13,1,9,4,16,1,8,1,9,2,11,1,9,5,11,1,9,1,16,1,9,1,11,1,9,2,11,1,9,1,11,1,8,1,13,1,11,1,13,1,9,1,11,3,9,6,11,1,9,2,11,1,13,1,9,3,13,1,9,2,11,1,9,1,11,1,9,2,16,1,9,1,16,1,10,1,9,1,8,1,11,1,9,1,11,1,8,1,16,1,9,4,8,2,9,2,13,1,16,1,8,1,9,1,8,1,9,3,10,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,10,1,9,5,11,1,13,1,9,2,11,2,13,1,9,2,11,1,9,2,13,2,9,1,13,1,9,1,8,1,13,1,9,3,11,1,9,3,11,1,9,1,16,1,11,1,9,1,11,3,9,1,11,1,9,9,16,1,10,1,11,2,9,2,11,1,9,1,13,1,9,4,13,2,11,1,16,1,11,3,9,2,11,1,13,1,9,3,11,2,10,1,9,1,11,1,10,1,16,1,11,3,16,1,11,1,9,1,16,1,11,5,9,3,11,3,9,1,11,1,9,1,16,5,11,1,9,1,16,6,11,1,17,1,11,1,16,1,9,1,16,1,11,1,16,1,9,6,33,83,5,445,28,33,6,1,30,1,7,1,28,1,29,1,6,1,28,1,6,1,13,1,7,1,28,2,30,2,28,21,9,1,17,1,11,1,9,1,11,1,10,1,11,1,9,1,8,1,9,3,8,1,9,6,8,1,9,2,13,1,9,4,11,1,9,2,11,1,9,2,11,1,9,1,10,1,9,1,11,1,9,3,11,2,9,3,11,1,9,1,10,1,9,7,13,1,9,1,11,1,9,1,11,2,17,2,28,4,30,1,13,1,8,1,7,1,8,1,13,3,24,1,8,1,13,1,8,1,7,1,13,4,28,6,13,1,28,27,30,1,28,3,30,1,28,1,30,1,29,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,10,30,1,13,1,30,1,28,1,13,1,6,2,30,1,28,1,30,1,6,2,13,1,6,1,13,1,6,1,13,4,6,1,13,1,9,2,13,1,9,2,13,1,9,1,13,3,30,2,28,2,13,2,6,4,13,8,30,1,28,1,6,2,13,1,6,2,30,3,6,1,28,1,13,1,28,1,6,1,13,4,6,1,13,2,9,2,13,4,6,1,13,1,6,1,28,1,30,1,13,1,6,2,13,3,30,1,13,1,6,4,30,1,6,1,30,1,28,33,5,66,33,5,5,1,9,2,13,1,8,1,13,1,8,1,9,1,8,2,13,1,9,1,13,2,8,2,13,2,7,1,13,1,6,1,13,1,8,1,13,1,6,3,30,1,29,1,6,1,29,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,7,1,29,1,30,1,6,4,29,1,8,1,6,2,29,1,6,1,7,1,13,1,6,1,13,3,7,1,13,4,8,1,13,3,6,1,7,2,6,1,13,1,7,1,13,1,7,2,13,2,8,2,13,1,9,2,16,1,33,2,5,47,13,2,29,1,13,2,6,1,13,4,6,1,30,1,7,1,28,2,6,1,5,102,16,2,11,1,9,1,10,1,11,1,10,1,9,1,17,1,9,1,17,8,9,1,11,1,10,1,9,1,24,1,9,1,8,1,10,1,11,1,17,6,11,1,16,2,11,1,10,1,13,1,30,1,13,1,5,6,9,1,11,3,9,1,11,2,16,1,9,1,13,1,11,1,5,20,6,1,28,11,11,1,14,2,16,1,8,1,24,1,13,2,7,1,6,2,13,1,7,1,13,1,11,1,17,2,12,1,6,1,28,6,17,2,13,1,30,1,7,1,28,1,29,1,28,25,30,1,14,1,17,1,11,1,8,1,13,1,6,2,9,2,8,1,7,1,30,1,28,5,6,1,7,1,9,1,}, {29,1,6,2,7,1,6,1,10,1,17,1,10,1,6,1,13,1,6,1,29,1,6,1,24,1,12,1,29,1,28,34,6,1,28,4,13,1,8,2,24,1,17,1,14,1,9,1,13,1,29,1,30,1,28,1,6,1,28,1,7,1,9,2,13,1,30,1,13,1,7,1,8,1,24,1,13,1,8,2,7,2,9,1,7,1,6,1,29,1,6,2,29,1,12,2,17,2,11,1,17,1,12,1,11,1,17,1,9,1,11,1,17,9,9,1,6,2,30,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,30,1,28,13,29,1,8,1,9,2,8,1,11,1,17,2,6,2,13,1,8,1,13,1,29,1,13,1,17,4,9,1,12,1,8,1,11,1,9,1,24,1,9,1,12,3,8,1,16,1,17,2,12,1,8,1,30,1,6,1,30,3,28,7,7,1,13,1,9,1,11,2,17,1,11,1,17,1,11,1,16,1,11,3,16,1,9,1,11,1,9,2,11,1,9,1,16,2,11,3,16,1,8,1,9,1,11,1,9,1,11,1,9,3,11,2,16,1,9,1,11,1,9,1,16,2,9,1,8,1,11,1,13,1,11,1,8,1,11,2,8,1,9,3,16,1,11,1,16,1,17,29,16,1,17,1,16,4,17,1,16,1,17,9,16,1,17,7,16,1,17,1,16,2,11,1,16,1,17,30,16,1,17,1,16,2,17,20,13,1,29,1,30,4,28,1,29,2,28,52,30,4,29,2,30,1,6,1,30,1,29,1,6,3,8,1,13,4,6,2,13,1,24,1,8,1,13,1,9,1,24,1,8,2,9,1,8,1,24,3,9,1,8,1,24,1,10,1,13,1,8,2,13,1,9,1,8,2,24,2,13,1,24,1,8,3,13,1,8,2,13,2,8,3,13,1,8,1,13,1,24,1,13,3,24,1,8,1,17,1,9,2,24,1,13,1,24,1,13,1,8,1,29,1,30,1,28,7,30,1,28,73,30,1,28,1,6,1,30,2,13,1,7,1,10,1,8,1,10,1,24,1,8,2,28,47,8,1,24,1,9,3,24,1,11,2,12,1,11,1,9,1,16,1,17,6,16,2,17,5,16,1,17,1,16,3,17,2,13,1,28,47,29,2,6,1,7,1,24,1,13,1,24,2,8,1,9,3,17,1,12,1,17,1,9,1,17,1,9,3,17,1,10,1,17,1,12,1,17,1,11,1,8,2,13,2,9,1,13,3,11,1,9,1,11,1,16,1,9,4,8,1,9,1,13,3,9,3,11,1,9,2,16,1,9,4,13,1,16,1,9,1,13,1,11,1,9,1,10,1,13,2,9,2,11,1,9,2,10,1,11,3,9,1,11,1,9,1,11,1,17,1,16,2,11,1,16,1,11,2,17,1,16,1,11,2,17,2,11,2,17,1,11,1,16,1,11,2,9,2,10,1,8,1,9,1,11,1,8,1,9,1,10,1,8,1,9,5,11,1,13,1,9,1,11,1,16,1,9,3,11,1,9,5,13,1,9,4,8,1,16,1,9,1,11,1,9,1,8,1,9,5,11,2,16,1,11,1,9,1,13,1,11,1,9,1,10,1,9,1,11,1,9,2,8,1,9,1,10,1,9,2,8,1,9,1,11,2,9,2,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,2,11,3,9,2,11,1,9,1,13,1,9,2,13,1,11,1,8,1,9,1,8,1,9,1,11,1,13,1,9,1,10,1,9,1,10,1,11,1,10,1,9,1,13,1,9,5,13,1,9,3,13,1,16,1,9,2,8,1,13,1,9,1,13,1,16,1,13,2,9,5,11,2,16,1,9,1,16,1,9,1,11,2,9,1,16,1,9,2,11,1,9,3,10,1,9,4,11,2,9,1,8,1,13,1,9,4,13,1,9,1,13,1,9,3,11,2,9,1,11,1,9,1,11,2,9,1,10,1,9,1,10,1,16,1,11,1,16,1,11,1,9,1,11,2,16,2,11,3,17,1,11,3,16,1,11,4,16,1,17,1,11,2,16,1,17,1,16,3,9,1,10,1,16,4,11,1,16,4,11,1,16,3,11,1,9,6,13,1,33,86,5,442,30,1,28,31,30,1,28,1,29,3,28,3,7,1,13,1,6,1,7,1,6,3,28,1,30,1,6,1,28,19,17,2,11,1,9,1,10,1,9,2,11,1,9,2,10,1,9,5,8,6,10,1,9,1,11,1,9,11,11,2,9,14,11,1,8,1,9,3,11,1,9,1,11,1,9,1,11,1,17,1,13,1,28,3,6,3,13,1,7,1,13,2,6,1,8,1,13,1,8,1,24,1,13,4,9,1,30,1,28,6,30,1,6,1,28,1,6,1,28,22,30,2,28,3,29,1,28,1,30,2,28,4,30,1,28,2,30,1,28,2,30,1,28,10,6,1,30,1,28,2,30,1,6,1,30,1,13,2,6,1,13,1,6,1,30,1,13,1,6,1,13,6,9,1,13,3,30,1,13,1,6,2,13,3,6,2,30,1,13,1,6,1,30,1,13,2,28,1,6,2,13,5,9,1,13,2,28,2,30,2,6,2,13,2,29,1,30,2,28,1,30,1,28,1,6,1,13,3,6,2,30,1,13,2,6,1,13,1,6,1,13,4,6,1,13,1,6,1,28,1,6,2,30,1,13,2,6,2,9,1,6,1,13,3,6,1,28,1,6,1,28,31,5,70,33,3,9,1,13,2,8,2,13,2,8,1,13,2,8,1,13,1,8,1,13,4,6,1,7,2,6,1,7,1,6,1,7,1,29,1,6,1,30,1,6,2,29,2,6,1,28,1,30,1,29,1,6,1,29,1,6,1,29,2,30,1,6,2,29,1,30,1,13,1,6,1,8,1,6,2,7,3,8,1,6,2,13,1,6,1,7,1,6,1,13,1,6,1,13,3,6,1,7,1,6,1,7,1,6,1,7,1,13,1,6,1,13,1,8,1,13,2,8,1,13,2,9,2,33,1,5,46,13,1,6,1,30,1,6,2,13,3,6,3,13,1,29,1,28,3,5,103,17,1,16,1,9,1,12,1,11,1,9,2,17,2,12,1,11,1,17,1,12,1,17,1,11,1,17,1,11,1,9,2,10,1,9,1,8,1,10,1,9,1,11,1,12,1,16,1,17,2,11,1,17,4,16,3,11,1,13,1,6,2,5,36,13,1,28,10,29,1,8,1,17,2,10,1,24,1,13,1,8,1,30,1,29,1,30,2,13,1,8,1,24,1,9,2,17,1,11,1,13,1,28,5,30,1,17,1,9,1,13,2,29,2,28,27,16,1,17,1,12,1,24,1,8,1,13,1,6,1,9,2,8,1,13,1,28,6,29,1,13,1,8,1,}, {29,1,6,1,29,1,28,1,7,1,13,1,10,1,17,1,6,1,29,1,7,1,6,2,24,1,17,1,29,1,28,3,30,1,28,5,29,1,28,25,30,1,28,1,30,1,29,1,8,2,9,1,8,1,11,1,14,1,11,1,13,1,30,2,28,1,30,1,6,1,7,1,9,1,24,1,8,1,13,1,24,1,13,2,8,4,6,2,9,1,24,1,6,1,13,1,30,1,6,1,28,1,24,1,17,1,9,1,12,1,17,3,12,1,11,1,10,1,9,1,17,6,14,1,17,1,14,1,9,1,30,1,13,1,28,1,30,1,28,2,6,1,29,1,28,16,7,1,8,2,9,2,17,3,7,1,30,1,28,1,29,1,13,1,6,1,7,1,12,1,17,3,9,1,8,1,9,2,8,1,9,2,11,2,9,2,11,1,16,1,17,1,9,1,6,2,29,2,30,2,28,7,6,1,28,1,13,1,9,1,12,1,11,1,9,1,11,1,17,1,11,1,17,1,11,1,8,1,9,2,11,1,10,1,11,1,8,1,9,1,11,1,9,2,10,1,9,1,16,1,9,1,16,2,11,1,16,2,9,3,11,2,9,3,11,1,9,2,11,1,16,1,11,1,10,1,9,1,11,1,10,1,13,1,11,1,9,1,11,1,9,2,11,1,16,2,17,6,16,1,17,17,16,1,17,1,16,4,17,1,16,1,17,1,9,1,16,2,17,3,16,1,17,8,16,2,17,2,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,26,11,1,16,1,17,1,16,1,17,21,9,1,13,1,6,2,28,1,29,2,28,2,30,1,28,3,30,1,28,47,30,2,28,1,30,1,28,1,30,2,29,2,6,2,13,1,7,1,6,2,8,1,13,1,8,1,24,2,13,1,9,1,10,1,8,1,12,1,9,4,8,1,24,2,8,3,9,1,10,1,24,2,9,1,24,1,8,1,24,3,13,1,8,1,6,1,13,1,24,1,8,1,13,1,24,1,13,1,7,1,13,1,6,2,13,1,8,1,7,1,6,1,13,2,8,1,24,1,13,1,8,1,7,1,8,2,24,2,29,1,7,1,28,1,6,1,28,82,30,1,29,1,6,1,13,1,7,1,6,2,8,1,9,3,8,2,28,48,6,1,8,1,9,1,17,1,24,1,11,1,12,1,17,2,11,1,16,1,17,2,16,1,17,10,16,1,17,1,16,3,11,2,13,1,28,45,30,1,28,2,7,2,13,1,8,1,24,4,11,1,17,1,10,1,9,1,12,1,10,1,9,1,11,1,9,1,12,1,16,1,10,1,17,3,16,1,9,1,10,1,9,1,13,1,9,2,8,1,9,1,13,1,8,1,11,5,13,5,9,1,13,1,9,1,11,2,9,1,16,1,9,1,16,1,13,1,9,2,11,1,13,1,11,1,9,1,13,1,9,1,11,1,9,2,8,1,13,1,9,1,11,1,8,1,9,6,16,1,11,1,9,2,11,1,16,1,17,1,11,2,17,1,16,1,9,1,11,1,16,1,11,1,17,1,11,1,16,1,17,2,16,3,9,2,11,1,8,1,9,5,8,1,11,1,8,1,9,4,13,1,9,1,11,1,9,2,11,1,9,2,13,1,9,2,8,1,9,6,11,1,9,1,11,2,9,3,10,1,9,1,10,1,9,4,11,1,10,2,9,5,13,1,9,4,11,1,9,1,11,1,9,1,11,1,10,1,13,1,8,1,11,1,9,1,11,1,9,1,11,1,9,2,10,1,9,1,11,1,9,1,11,1,8,1,13,1,11,1,9,3,11,1,9,4,11,1,13,1,9,3,13,1,9,1,8,1,9,1,10,1,9,1,10,2,9,1,13,1,10,1,11,1,9,1,13,1,9,8,8,1,13,1,10,1,11,1,8,1,9,1,13,1,9,2,13,1,8,1,13,1,9,1,11,2,16,1,10,1,11,1,16,1,9,1,16,1,9,1,11,2,9,1,11,2,9,2,10,1,11,1,10,1,9,1,11,1,9,1,11,1,13,1,9,2,11,2,9,2,11,3,16,1,9,2,16,4,11,1,16,4,11,2,10,1,9,1,16,2,11,1,9,1,11,4,16,2,10,1,11,1,16,1,9,1,11,1,16,1,9,1,16,3,11,1,16,5,11,2,16,2,11,1,9,1,11,1,16,7,11,1,16,2,10,1,9,5,13,1,33,87,5,441,28,35,6,2,29,1,28,1,30,1,10,1,13,1,7,1,28,1,6,1,7,1,30,2,7,1,28,18,30,1,8,1,17,1,12,1,9,1,11,1,9,1,10,1,9,2,8,1,9,7,8,2,9,2,8,1,13,1,10,1,13,1,11,1,9,8,10,1,11,1,9,3,11,1,9,6,10,1,9,11,10,2,11,1,9,1,16,2,28,4,30,1,13,2,6,1,13,1,8,1,13,1,6,2,7,1,13,1,8,1,7,1,10,1,13,1,9,1,13,1,28,1,30,1,28,5,6,2,30,1,28,1,30,1,28,28,29,1,28,2,6,1,28,1,30,1,28,4,30,1,28,12,30,2,6,2,28,1,6,2,30,1,13,3,6,3,13,1,6,2,13,4,6,1,13,4,6,1,13,1,6,1,13,1,6,1,13,1,30,2,6,1,28,1,6,1,13,1,6,1,9,1,6,1,13,1,30,1,13,2,8,1,13,3,6,1,13,1,28,1,30,1,28,1,30,2,6,1,13,1,30,1,29,1,30,1,6,1,28,1,30,1,28,3,13,4,6,1,13,2,30,1,13,1,28,1,6,1,13,6,6,1,13,2,6,2,30,1,13,1,6,1,13,3,6,1,13,1,6,2,13,1,6,1,28,30,5,72,33,1,5,1,9,1,13,3,8,1,13,1,8,1,13,3,8,1,13,2,7,6,6,2,30,2,7,1,6,1,30,2,6,2,29,1,30,1,28,1,30,3,6,1,30,2,13,1,6,1,7,1,30,1,6,1,7,1,29,1,7,1,6,1,7,1,13,1,6,2,13,2,7,1,13,1,29,1,13,2,6,1,7,1,6,1,13,1,6,1,13,1,28,1,6,1,7,5,13,2,8,1,13,7,5,1,33,3,5,43,9,1,30,4,13,2,7,1,30,2,13,1,6,1,30,2,28,1,5,103,30,1,16,1,11,1,9,2,12,1,11,1,17,1,9,1,12,1,8,1,9,1,8,1,11,1,12,1,10,1,9,1,12,1,9,1,10,1,11,1,24,2,12,1,11,3,17,2,12,1,17,8,11,1,6,2,30,1,33,1,5,34,13,1,28,11,9,1,14,1,12,1,16,1,8,1,7,1,9,1,29,1,6,2,28,1,6,1,13,1,8,1,10,1,9,1,17,1,12,1,13,1,28,5,30,1,17,1,10,1,7,1,6,1,30,1,28,1,30,1,28,26,14,1,17,1,10,1,11,1,8,1,6,1,13,1,10,1,9,2,8,1,6,1,28,1,30,2,28,1,30,1,6,1,7,1,9,1,}, {6,1,13,1,7,1,30,1,7,1,10,2,24,1,8,2,30,1,6,2,9,1,14,1,6,1,30,1,28,3,30,1,28,30,30,2,28,1,30,1,13,1,24,1,12,1,8,1,10,1,14,1,15,1,6,1,30,1,28,1,29,1,30,1,28,2,24,1,12,1,6,2,7,2,6,2,24,2,13,1,30,1,8,1,9,1,8,1,6,1,13,1,6,3,24,1,9,1,17,4,11,1,16,1,9,1,11,1,9,1,17,1,16,1,17,5,14,2,8,1,13,1,30,1,28,1,30,2,28,1,29,2,28,1,6,1,28,14,6,1,24,1,9,1,24,1,17,1,16,1,17,2,24,1,7,1,8,1,29,1,7,1,13,2,16,1,17,4,12,1,9,1,13,1,10,2,8,1,24,1,17,1,9,1,12,1,17,1,16,1,17,1,12,1,6,1,28,1,6,1,30,1,28,1,30,1,28,7,6,2,8,1,9,1,12,1,17,1,16,5,11,1,16,2,10,1,11,1,8,1,16,1,9,1,11,2,9,1,16,2,9,1,11,1,16,1,9,1,16,3,10,1,17,1,16,1,11,2,16,1,9,2,13,2,9,6,16,1,9,1,8,1,11,1,13,1,9,2,8,1,9,1,11,1,8,1,11,2,17,1,16,1,17,2,16,1,17,15,16,2,11,1,16,7,17,3,11,1,16,2,17,1,16,1,17,11,16,5,17,1,16,2,17,29,16,3,17,23,13,1,6,2,30,1,29,1,28,2,30,1,28,53,30,1,6,1,29,2,30,1,29,1,6,1,7,1,8,1,7,1,6,1,8,1,13,1,24,2,8,4,24,1,13,1,9,1,8,1,24,1,9,2,24,1,13,1,9,2,11,1,9,1,24,1,9,3,13,1,9,1,8,1,24,1,8,4,24,1,9,1,24,1,8,1,7,1,13,1,8,1,24,1,7,1,8,2,13,1,8,1,13,1,9,1,8,2,9,2,24,1,8,3,13,1,7,1,13,1,6,1,28,1,29,1,28,9,29,1,28,75,30,1,29,1,6,1,29,2,8,1,7,1,24,2,13,1,6,1,8,1,6,1,28,51,6,1,9,1,12,3,17,2,16,2,17,1,16,2,17,8,16,2,11,1,16,3,9,1,11,1,30,1,28,42,30,1,28,2,30,1,29,2,6,1,7,1,8,1,24,2,9,1,13,1,9,2,12,1,17,2,12,1,17,4,10,2,16,1,17,3,16,1,11,1,8,1,11,2,9,2,13,2,9,1,13,1,9,2,13,1,9,9,13,2,11,1,8,1,16,1,9,2,11,2,9,2,11,2,9,2,13,1,8,1,13,1,9,1,8,1,9,2,16,1,9,1,11,1,16,1,11,1,16,1,11,2,8,1,10,1,11,1,16,1,17,1,16,2,11,1,16,1,11,4,10,1,17,3,10,1,17,6,9,3,13,1,9,7,11,1,9,1,13,1,9,6,11,1,10,1,9,5,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,3,10,1,11,1,16,1,9,3,16,1,9,1,11,1,16,1,9,1,10,2,9,2,11,1,9,2,13,1,9,1,11,1,9,1,11,1,9,2,11,1,16,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,13,1,9,2,16,1,9,5,11,1,9,1,16,1,9,4,8,1,9,5,13,1,11,1,9,3,8,1,9,1,10,1,9,4,16,1,10,1,9,3,11,1,9,1,11,2,9,1,8,1,9,4,13,1,9,3,11,1,9,3,11,1,10,1,16,1,9,3,11,1,9,1,11,2,9,2,11,2,9,2,11,4,16,1,11,1,13,2,10,1,9,1,11,3,9,1,16,2,11,1,16,1,17,1,16,4,9,1,11,1,16,3,11,4,16,1,11,1,16,1,9,1,16,3,11,2,16,2,11,1,16,1,11,1,9,3,16,1,11,1,9,1,11,2,16,1,11,1,16,1,11,2,16,14,11,2,9,1,11,1,9,1,10,1,9,3,13,1,33,89,5,440,28,35,29,1,6,2,30,1,29,1,13,2,6,1,28,1,29,2,28,22,17,2,9,1,10,1,11,1,9,5,11,1,9,3,8,1,9,1,8,2,9,1,11,1,9,1,13,1,9,1,13,1,9,1,10,1,9,1,8,1,11,1,8,1,10,1,11,1,9,1,11,2,9,2,8,1,9,3,16,1,13,1,9,1,8,1,11,1,9,6,10,1,9,9,17,1,28,5,6,1,30,1,13,4,7,1,13,1,8,1,13,1,8,1,7,1,13,3,8,1,13,1,28,2,6,1,28,4,6,1,28,3,30,1,28,3,30,1,28,19,30,2,28,2,7,1,28,1,30,1,6,1,28,21,30,1,6,1,13,1,30,1,28,1,6,1,30,1,6,2,30,1,13,2,6,1,30,1,9,1,13,2,6,1,13,1,30,1,6,1,13,1,6,4,13,2,6,1,13,1,30,2,6,3,30,1,6,1,13,1,6,2,28,1,6,1,13,1,8,1,9,1,6,1,13,6,6,2,13,1,6,1,28,1,6,4,30,2,28,5,13,3,28,1,6,1,13,4,6,1,13,1,6,1,13,1,9,3,13,1,6,1,9,1,13,1,6,1,13,2,28,1,6,1,13,1,6,2,13,3,6,2,30,1,6,1,28,27,5,71,33,4,9,2,13,1,8,4,13,1,7,1,13,1,7,1,13,1,7,1,13,1,7,3,6,2,13,1,7,1,29,1,28,1,7,1,29,1,30,1,29,1,28,2,30,1,29,2,30,1,29,1,6,2,29,1,30,1,29,1,6,1,29,1,30,1,6,1,7,2,6,1,7,1,6,4,7,1,13,1,7,1,6,1,7,3,6,1,30,1,6,1,13,1,29,1,7,1,6,2,7,3,6,1,13,4,8,1,13,5,9,1,33,4,5,42,30,2,6,2,7,1,6,3,30,2,29,1,30,2,28,1,5,104,28,1,10,1,12,1,13,1,11,1,9,2,10,1,8,1,13,1,9,3,10,1,8,1,9,1,10,1,9,2,10,1,9,1,24,2,17,1,9,1,12,1,16,2,11,1,17,7,16,1,11,2,9,1,30,2,33,1,5,33,30,1,28,11,9,1,17,1,16,2,9,1,8,1,13,1,6,1,28,1,30,1,6,1,7,1,8,1,24,1,11,2,12,1,11,1,28,6,6,1,17,1,10,1,13,2,8,1,28,1,30,1,28,26,14,1,12,1,17,1,9,2,29,1,13,1,10,1,11,1,13,2,30,1,28,2,30,1,28,1,13,1,7,1,24,1,8,1,}, {6,2,7,1,6,2,8,1,10,1,9,1,13,1,7,2,29,1,7,1,13,1,14,1,7,1,28,5,29,1,28,29,30,1,28,3,13,2,12,3,15,1,14,1,6,1,28,1,30,3,29,1,6,1,24,1,9,2,7,1,13,1,7,1,6,1,13,2,12,1,7,1,30,1,24,1,12,1,9,1,7,1,13,1,6,1,7,1,29,1,24,1,12,2,17,1,12,1,17,1,16,1,12,1,10,1,9,2,17,1,16,1,17,6,14,1,11,1,13,1,28,1,6,2,30,1,6,1,28,1,29,1,30,1,29,2,28,13,6,1,8,1,10,1,9,1,17,1,10,1,17,1,12,1,9,1,30,1,8,1,13,3,29,1,11,1,17,2,16,1,11,1,9,1,8,1,10,1,9,1,12,1,10,1,12,1,17,1,11,3,16,3,13,1,6,1,30,4,28,6,30,1,29,1,28,1,13,1,11,1,17,7,16,1,17,1,16,1,11,1,9,1,11,1,16,1,10,1,16,3,9,2,17,1,10,1,17,1,16,1,11,1,17,2,11,1,17,1,11,2,16,1,10,1,9,1,8,1,9,3,11,1,9,2,16,1,9,2,16,1,9,1,11,2,9,2,11,1,9,3,10,1,9,1,16,1,11,2,16,1,11,3,16,2,17,4,16,2,17,2,16,1,11,2,16,2,17,1,11,1,16,6,11,1,17,2,16,2,17,3,16,1,17,5,16,2,17,1,11,1,16,4,11,1,16,1,11,1,17,1,16,2,17,27,16,1,17,26,9,1,13,1,30,1,29,1,28,1,6,1,30,2,29,1,28,50,30,1,7,1,6,1,29,1,6,3,8,1,13,1,6,1,13,2,8,2,13,1,8,1,24,1,9,2,8,1,24,1,12,1,10,1,9,1,10,1,12,1,10,1,8,1,24,2,9,1,12,1,13,1,24,1,9,1,10,1,24,4,13,1,24,2,12,1,24,2,8,1,24,1,8,1,10,1,9,1,10,1,24,1,8,1,13,1,24,1,13,2,8,2,10,1,24,1,9,2,24,1,8,1,6,2,30,1,28,1,30,1,28,9,30,1,28,79,6,1,24,1,13,1,7,1,8,1,24,1,6,1,7,1,8,1,13,1,8,1,7,1,28,54,13,1,9,1,17,4,16,1,11,1,16,2,17,1,16,1,17,3,16,7,11,1,16,2,9,1,28,45,29,1,28,1,29,2,7,1,8,1,13,1,8,1,24,2,9,1,8,1,9,2,17,1,9,2,12,1,17,1,9,1,12,1,17,1,12,1,17,3,9,4,8,1,9,3,13,1,9,1,11,1,9,1,11,1,9,1,11,1,13,1,9,1,8,1,9,1,13,2,9,1,13,1,9,1,16,2,9,1,16,1,10,1,11,1,9,1,11,2,9,1,11,1,9,2,8,1,9,1,13,2,10,1,13,1,8,1,9,4,11,1,9,3,11,1,9,3,16,1,11,2,16,1,11,1,9,1,17,1,11,2,16,1,11,4,17,1,11,1,17,3,11,1,17,2,11,1,17,1,9,6,8,1,10,1,9,1,8,1,11,1,9,1,10,1,9,1,13,1,9,2,13,1,9,1,11,1,9,1,8,1,9,6,8,1,11,1,9,2,16,1,11,3,16,1,9,3,11,3,9,1,11,1,16,1,9,1,11,3,9,2,10,1,11,1,9,3,13,1,11,1,9,5,11,1,9,2,11,1,10,1,11,1,9,1,11,1,13,1,9,1,11,1,9,3,11,3,9,1,11,1,9,6,11,1,13,1,9,4,11,1,9,1,11,1,9,1,10,1,11,1,13,1,9,5,8,1,9,3,11,1,9,6,11,1,9,2,10,1,9,2,11,1,8,1,9,3,11,1,9,1,10,1,9,1,10,1,9,3,11,1,9,3,10,1,9,3,16,1,11,4,9,1,11,1,10,1,9,1,11,1,9,2,11,1,16,1,11,1,16,1,11,2,16,1,11,2,16,1,10,1,9,1,16,1,17,1,11,1,9,2,17,1,9,1,11,2,9,1,11,1,16,1,11,4,16,4,11,2,9,1,16,1,11,1,17,1,11,1,16,1,11,4,16,1,11,3,16,1,11,1,16,8,11,1,16,2,11,3,9,7,13,1,33,89,5,439,30,1,28,36,6,1,8,1,6,1,29,1,30,1,13,1,8,1,6,1,30,1,13,1,28,3,30,1,6,1,28,14,6,2,11,1,17,1,10,1,9,1,10,1,9,8,8,1,9,3,8,1,9,1,8,1,9,3,13,1,9,3,10,1,9,9,8,1,11,1,10,1,9,3,13,1,8,1,9,8,10,1,9,5,10,1,8,1,9,1,17,1,13,1,28,5,30,1,8,1,13,3,7,1,6,2,13,2,8,1,13,1,8,3,13,2,28,1,6,1,30,1,6,1,7,1,28,3,30,1,29,1,30,1,28,29,30,1,29,1,28,22,30,4,28,1,6,1,28,1,30,1,6,4,13,2,28,1,13,1,6,1,13,2,30,3,28,1,13,1,6,1,13,1,30,1,6,3,13,3,6,1,30,1,6,1,30,2,13,1,29,1,6,1,30,1,28,1,30,1,6,1,30,1,9,1,13,4,6,2,29,1,30,1,6,1,30,1,6,5,29,1,6,1,28,4,6,8,28,1,6,1,13,1,6,1,30,2,6,1,13,5,8,1,6,1,13,4,30,1,6,1,30,1,13,4,6,2,30,1,28,25,13,1,5,71,33,4,9,3,13,1,8,1,13,5,7,1,13,1,8,1,6,1,13,3,6,1,7,1,6,1,29,1,30,1,29,1,30,3,7,1,29,1,30,1,28,3,6,1,30,1,29,1,30,1,29,2,6,1,29,5,7,1,6,1,7,1,13,1,7,1,13,1,7,1,6,1,7,2,13,1,6,4,7,1,6,1,7,1,29,1,7,2,6,1,13,1,6,1,13,4,8,1,13,1,6,1,13,1,6,1,9,1,13,3,5,1,33,4,5,41,30,2,7,1,13,1,6,2,28,1,30,2,29,1,30,2,28,1,13,1,5,103,13,1,28,1,10,1,11,1,16,1,17,1,11,1,8,1,11,1,6,1,9,2,10,1,11,1,9,2,24,2,10,1,24,1,8,1,10,1,24,1,9,1,12,1,17,1,12,1,11,1,16,1,10,1,11,1,17,5,16,2,11,3,13,1,28,1,5,33,13,1,28,10,30,1,9,1,17,2,11,1,8,1,13,2,30,1,29,1,28,1,7,1,13,2,9,1,17,1,11,1,17,1,9,1,30,1,28,5,13,1,17,1,12,1,6,1,8,1,29,1,30,1,28,7,30,1,28,19,14,1,17,2,8,2,29,1,13,1,9,1,24,1,8,1,29,1,28,3,29,1,28,1,6,1,8,1,13,1,9,1,}, {29,1,6,3,29,1,8,1,9,1,17,1,10,1,13,1,6,1,13,1,6,1,10,1,11,1,8,1,28,5,30,1,28,32,29,1,7,1,8,1,10,1,12,1,8,1,15,1,14,1,6,1,29,1,28,1,29,1,28,1,30,1,28,1,10,1,15,1,13,2,7,1,8,1,6,1,8,1,12,1,24,1,13,2,6,1,12,1,11,1,6,1,13,1,6,1,29,2,24,1,9,1,11,1,17,1,12,1,16,1,17,1,9,1,17,1,8,1,9,1,17,9,8,1,13,1,28,1,30,4,28,2,30,1,29,1,28,11,30,1,28,2,30,1,13,1,24,1,10,1,17,1,16,1,17,1,16,1,9,1,6,1,8,1,6,1,13,1,7,1,13,1,11,1,17,3,9,1,12,1,9,3,11,1,12,1,10,1,9,1,11,1,12,1,17,3,9,1,28,1,6,1,30,1,29,1,30,2,28,6,30,1,28,2,13,1,9,1,17,8,16,2,9,1,17,1,16,1,17,1,9,1,11,1,9,1,16,3,17,4,16,2,11,1,17,2,11,1,9,1,11,1,9,1,10,1,13,1,8,1,16,1,9,1,16,1,8,1,11,1,9,2,16,2,9,1,10,1,13,1,9,3,13,1,9,2,13,1,11,1,9,4,11,1,9,1,11,2,9,1,16,13,11,2,16,5,11,1,9,1,17,3,16,1,17,1,16,3,17,7,16,5,9,1,11,1,16,5,17,15,16,1,17,10,16,2,17,23,16,1,17,2,16,1,13,1,6,1,30,1,29,1,30,1,28,1,30,3,28,43,30,1,28,3,29,1,28,1,30,1,28,1,7,1,30,1,6,2,8,1,24,1,6,1,13,2,8,1,24,1,9,1,24,2,8,1,9,1,8,1,10,1,24,1,9,4,24,1,9,2,8,6,13,1,9,1,8,1,10,1,24,1,10,1,9,1,24,1,9,1,12,2,10,1,24,1,8,1,10,1,9,1,10,1,8,1,7,1,13,1,8,1,6,1,29,1,6,2,29,1,13,1,6,1,28,1,29,1,8,1,29,1,28,95,24,1,8,1,7,1,13,1,25,1,29,1,6,1,7,2,29,1,28,56,13,1,17,1,11,2,17,3,16,5,17,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,9,1,11,1,8,1,28,45,30,1,28,1,7,1,13,1,7,1,13,1,24,1,8,1,10,2,17,1,9,1,10,1,17,1,9,1,12,1,11,1,12,4,17,1,11,1,17,1,16,1,11,1,13,1,16,1,9,1,11,1,9,1,11,1,13,2,9,4,8,1,9,2,13,1,9,1,13,2,9,4,8,1,11,1,13,1,9,2,10,1,13,1,16,2,11,1,10,1,9,1,16,2,9,1,16,1,13,1,9,1,13,1,9,1,11,3,8,1,9,1,13,1,9,1,8,1,9,2,11,2,9,2,16,1,9,2,11,1,9,1,11,1,10,1,9,1,12,1,13,1,16,1,17,2,11,1,17,1,11,1,17,2,16,1,17,2,11,3,9,1,16,1,9,1,13,1,8,3,9,3,13,1,9,1,11,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,13,1,9,3,11,1,8,1,9,1,11,1,9,2,11,1,9,1,16,1,9,1,10,1,9,2,11,1,8,1,11,1,9,6,16,1,9,2,11,1,9,1,10,1,9,4,11,1,9,2,13,1,9,1,11,1,9,5,11,1,9,4,11,1,8,1,9,3,11,1,9,1,16,1,9,2,11,2,9,1,11,1,9,1,11,1,13,1,9,1,8,1,9,5,11,1,9,1,11,1,9,4,11,1,9,2,8,1,9,2,11,1,9,1,11,1,8,1,9,2,11,3,9,4,11,1,9,2,11,1,10,1,11,2,9,2,10,1,13,1,9,1,16,1,9,1,16,1,11,1,10,1,11,2,16,1,11,4,16,2,11,1,10,1,11,1,9,2,11,1,9,2,11,3,9,1,11,1,16,3,11,2,8,1,11,1,16,2,9,1,11,1,16,1,11,3,9,1,11,1,16,1,10,1,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,2,16,1,11,1,9,1,16,3,11,4,16,1,11,1,9,1,11,4,16,5,11,1,16,2,11,4,8,1,13,1,8,2,9,2,13,1,9,1,33,91,5,438,28,35,29,1,13,1,8,1,7,1,28,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,28,4,6,1,28,13,6,1,8,2,13,1,17,1,10,1,9,1,13,1,9,6,8,1,9,4,8,1,9,2,8,3,9,1,8,2,9,3,13,1,9,5,11,1,9,1,11,1,9,2,11,1,9,6,10,1,9,2,11,1,9,2,10,1,9,8,11,1,16,1,28,6,30,1,6,1,7,1,29,1,24,1,30,1,29,1,7,1,6,1,13,1,7,1,13,2,8,1,7,2,6,1,29,1,30,1,29,1,8,1,9,1,28,33,30,1,28,27,30,2,6,1,30,2,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,2,13,1,30,1,9,1,13,1,30,1,6,1,30,1,13,1,30,1,13,2,6,1,13,1,30,1,6,1,13,2,6,1,30,1,6,2,13,4,6,2,13,1,6,1,13,7,6,1,13,1,6,1,13,1,29,1,6,1,30,1,13,1,6,2,30,1,28,5,30,1,6,1,13,1,6,1,13,1,6,2,30,2,13,1,28,1,13,5,30,1,9,1,13,1,9,1,13,5,6,2,28,1,30,1,6,1,13,5,28,2,30,1,28,23,5,72,33,3,5,1,9,2,13,1,8,2,13,1,7,2,13,1,6,1,7,5,6,3,29,1,30,1,29,2,30,1,29,1,30,1,28,1,30,1,29,1,28,1,29,1,30,1,28,1,30,1,29,1,30,3,6,3,30,1,6,1,7,1,29,2,7,1,6,2,13,2,29,1,6,1,7,2,29,1,6,1,13,1,6,1,30,1,6,1,29,1,6,1,30,1,7,1,13,1,6,1,7,2,6,1,13,1,6,1,8,1,13,7,9,1,5,1,33,4,5,41,6,1,30,1,7,1,30,2,28,4,30,1,28,3,5,104,28,3,9,1,17,2,11,1,16,1,9,1,10,1,11,1,9,1,13,1,24,1,8,1,9,1,24,2,9,2,24,1,9,1,12,2,16,2,10,1,17,1,9,1,12,1,8,1,12,1,17,2,16,1,17,3,11,1,9,2,13,1,5,33,13,1,28,10,6,1,16,1,17,2,9,1,7,1,8,1,13,1,6,4,13,1,8,2,17,3,11,1,30,1,28,5,6,1,17,1,9,1,30,1,7,1,13,1,28,2,29,1,28,24,30,1,16,1,17,2,9,1,13,1,7,1,13,1,17,1,8,1,13,1,28,6,30,1,13,1,8,1,12,1,}, {30,1,13,1,6,1,29,1,30,1,9,1,17,1,11,1,12,1,13,1,9,1,13,2,10,1,12,1,13,1,28,5,29,1,30,1,28,27,30,1,28,2,30,1,28,1,8,1,9,1,8,1,17,1,12,1,17,1,9,1,7,1,6,1,29,2,28,1,30,1,29,1,24,1,15,1,8,1,13,1,7,1,13,1,8,1,10,1,17,1,9,1,8,1,6,2,9,1,24,1,13,1,30,1,6,2,29,1,24,1,9,1,17,5,12,1,10,1,9,2,17,2,16,1,17,1,16,1,17,4,11,1,8,1,6,2,28,2,30,1,28,1,6,1,30,1,28,13,30,2,28,1,13,1,8,1,9,1,17,1,12,1,17,2,9,1,7,1,13,2,8,1,7,1,13,1,10,1,11,1,17,2,9,1,11,1,9,1,11,2,9,1,10,1,17,2,16,2,17,3,11,1,13,1,6,1,30,1,6,1,28,1,30,1,28,7,30,1,8,1,9,1,8,1,9,2,10,1,9,1,11,2,16,1,17,3,16,1,11,1,16,1,9,1,10,1,16,5,17,2,16,3,17,1,16,3,11,4,9,2,10,1,17,1,11,2,16,1,11,1,9,1,16,1,11,1,16,1,9,2,10,1,9,3,13,3,8,1,10,1,9,1,11,1,9,2,16,1,9,2,11,1,9,1,11,1,16,1,9,1,11,3,16,1,17,1,16,2,17,1,16,4,17,1,11,1,16,2,17,1,11,1,16,1,17,1,16,1,17,2,16,1,17,8,16,5,9,1,16,2,9,1,16,1,11,1,16,1,11,2,17,9,16,1,17,45,11,1,7,1,6,1,30,1,6,1,29,1,30,1,29,1,28,1,30,2,28,44,30,1,28,3,30,1,13,1,6,1,7,1,6,3,8,2,9,1,13,1,10,1,7,1,24,2,9,1,24,1,8,1,11,1,9,1,12,1,9,1,11,1,8,1,9,1,8,2,9,1,24,1,9,1,12,1,9,1,10,1,24,2,9,2,24,1,10,1,17,1,12,1,24,1,12,1,9,1,24,2,7,1,13,1,7,2,6,1,13,1,6,1,30,1,8,1,24,1,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,9,30,1,28,80,30,2,6,2,25,1,30,1,28,1,30,1,28,58,30,1,28,1,7,1,17,3,16,2,11,1,16,6,17,1,11,1,16,2,11,3,16,1,9,1,28,43,30,2,7,1,6,2,29,1,8,1,24,1,8,1,9,1,24,1,9,1,24,1,9,1,11,1,10,1,12,1,11,1,12,1,17,1,12,2,17,1,9,1,17,2,11,1,9,2,11,1,9,3,13,1,9,1,13,2,9,1,13,2,8,1,13,4,9,1,13,2,8,1,9,4,8,1,13,2,11,1,16,1,8,1,11,2,10,1,11,1,13,1,16,1,11,1,10,1,16,1,10,1,9,1,11,2,9,1,11,1,13,1,8,1,9,1,11,1,13,1,9,1,8,1,9,1,11,2,9,1,11,1,9,1,11,2,9,4,17,1,9,4,11,1,17,1,10,1,11,1,16,1,9,1,16,1,11,1,9,1,11,1,16,1,17,1,11,2,13,1,9,2,8,1,9,1,13,1,9,1,13,1,9,7,13,3,9,1,16,1,9,6,10,1,9,1,11,3,9,5,11,1,9,2,11,1,9,2,11,1,9,2,16,1,8,1,9,1,11,1,9,1,11,1,9,1,13,1,11,1,9,2,11,2,9,1,11,3,9,1,10,1,11,1,9,1,11,2,9,1,13,1,11,1,10,1,9,8,11,1,17,1,9,2,11,1,13,1,11,1,9,3,11,2,9,3,11,1,9,1,11,2,9,3,17,1,9,1,11,2,9,4,10,1,9,1,11,2,9,6,11,3,9,2,11,1,9,1,16,1,9,1,11,1,9,5,11,1,9,2,16,1,11,1,9,1,16,2,11,3,10,1,9,1,10,1,11,2,16,1,11,1,16,1,11,4,16,1,11,4,16,3,9,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,13,1,11,1,16,1,11,1,9,1,11,3,9,1,11,1,9,1,11,1,16,1,11,2,16,3,11,1,16,2,9,1,16,1,9,1,11,1,16,11,11,1,16,1,11,1,9,8,13,3,33,91,5,437,6,1,28,35,30,1,6,1,13,1,29,2,6,1,30,1,29,1,13,1,7,1,29,1,13,1,6,1,28,1,30,1,28,1,29,1,28,11,30,1,28,1,9,1,30,1,13,1,17,1,11,1,9,2,11,1,9,2,8,1,9,3,8,1,9,1,8,2,9,1,8,1,9,1,8,4,9,1,13,1,8,1,9,1,10,1,13,1,10,1,8,1,9,1,8,1,9,4,10,1,11,1,9,1,10,1,9,2,11,1,9,1,13,1,10,1,11,1,9,3,10,2,9,2,13,1,10,1,13,1,9,3,8,1,17,1,28,5,29,1,28,1,7,1,6,1,29,1,13,1,29,1,28,1,6,2,7,1,8,1,7,1,13,1,8,1,13,2,28,1,30,1,6,1,29,1,13,1,7,1,28,1,6,1,29,1,28,30,30,1,28,30,30,1,28,3,13,1,6,1,13,4,6,1,30,1,13,1,6,1,13,2,6,1,13,2,6,1,13,1,30,1,6,2,13,1,6,1,13,1,6,1,30,1,6,3,13,2,6,1,28,2,13,1,30,1,13,1,6,1,28,1,13,3,9,2,8,1,13,2,6,1,13,1,6,1,13,1,28,1,13,1,30,1,28,1,6,1,30,1,28,5,6,1,30,1,13,6,30,1,6,2,30,2,13,2,6,1,13,1,30,1,13,1,6,1,13,4,6,1,13,1,9,1,13,1,6,1,30,1,28,1,30,1,6,1,13,4,30,1,6,2,28,4,30,1,28,16,5,71,33,4,5,1,13,1,8,1,7,1,13,4,7,1,13,1,7,1,13,1,7,1,6,1,7,1,29,1,7,1,29,1,6,4,28,1,29,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,30,3,28,2,30,3,6,1,30,1,6,1,7,1,6,4,7,1,6,2,13,1,6,2,13,1,6,1,7,1,6,1,7,1,6,1,7,1,13,1,6,2,7,2,6,1,7,2,13,1,7,1,13,8,7,1,13,2,9,2,33,4,5,39,13,1,30,2,28,1,6,1,28,3,30,1,28,1,30,1,28,2,5,105,33,2,28,2,13,1,16,4,11,3,10,1,8,1,24,1,13,1,8,1,13,1,9,1,8,1,9,1,11,1,17,1,9,1,16,1,11,1,12,1,9,1,16,1,11,1,17,1,11,1,17,2,16,1,17,1,9,1,10,1,8,1,16,1,13,1,28,1,5,32,13,1,28,10,6,1,14,1,17,2,9,2,24,1,8,1,6,1,29,1,6,2,29,1,13,1,9,2,11,1,17,1,12,1,30,1,28,5,13,1,17,1,8,1,13,1,7,1,6,1,29,1,28,26,6,1,11,1,17,1,16,1,12,1,7,1,6,1,7,1,9,1,8,1,7,1,30,1,28,6,6,1,8,1,17,1,}, {6,1,7,1,6,1,30,1,7,1,13,1,17,1,9,1,11,1,13,4,9,1,12,1,13,1,28,34,29,1,28,1,30,1,6,1,28,1,8,1,24,1,10,1,12,1,17,2,14,1,13,1,29,1,28,1,6,1,30,1,28,1,7,1,24,1,9,1,13,1,7,1,8,1,13,2,8,1,12,1,17,1,24,1,29,1,13,1,9,1,8,1,6,3,30,1,6,1,13,1,17,7,8,1,9,2,11,1,12,1,11,1,17,6,16,1,8,1,7,1,6,2,30,1,28,1,30,1,28,1,30,3,28,7,30,1,28,5,29,1,13,1,17,1,11,1,16,1,17,2,10,1,8,1,6,1,13,1,8,1,13,3,9,1,17,2,16,1,10,2,9,2,16,1,10,1,17,1,16,1,17,7,6,1,7,1,30,1,29,1,30,1,28,1,30,1,28,6,30,1,9,1,11,1,9,1,10,1,8,1,11,1,9,1,10,1,11,1,16,1,17,3,16,2,17,1,11,1,17,1,16,1,11,1,17,1,11,2,17,1,10,1,17,1,16,2,17,1,11,1,16,1,17,1,16,1,11,1,16,1,17,1,16,1,11,2,9,1,11,1,9,1,11,1,16,1,8,1,11,1,9,1,11,1,16,1,9,1,13,1,9,1,8,1,9,1,11,1,8,2,9,2,11,2,8,1,9,2,16,1,9,2,11,1,9,2,11,2,9,1,16,2,9,1,16,2,17,2,16,1,17,3,16,6,17,2,16,1,17,1,16,2,17,1,16,3,17,1,16,1,17,1,16,2,11,2,9,1,11,1,9,1,16,5,17,1,16,1,17,1,16,2,17,9,16,1,17,1,16,1,17,41,10,1,13,1,6,2,29,1,30,1,29,1,6,1,28,43,30,3,28,1,6,1,29,2,6,2,13,1,8,1,6,1,24,1,8,1,24,1,9,1,8,1,24,2,9,1,8,1,9,1,24,1,8,1,9,1,10,1,24,1,10,1,9,7,13,1,9,1,8,3,13,1,8,3,24,2,6,1,13,1,8,2,6,1,8,1,13,1,8,1,6,2,30,1,6,2,29,2,28,11,30,1,28,97,30,1,28,1,6,1,30,1,28,45,30,1,28,18,9,1,17,6,16,6,17,1,16,3,10,1,16,1,30,1,28,43,30,1,29,1,6,1,13,3,9,2,13,1,11,1,8,1,12,1,9,1,11,1,12,1,9,1,17,1,11,1,12,1,9,1,10,1,11,1,12,1,11,1,17,1,16,1,8,1,10,1,8,2,11,1,13,1,9,2,16,1,13,2,9,1,13,1,9,1,13,2,9,2,6,1,13,3,6,1,13,1,9,4,8,1,9,2,16,1,9,2,11,1,9,1,13,1,11,1,10,1,11,1,16,1,9,1,16,2,11,1,9,3,17,1,11,2,10,1,9,1,11,1,9,1,13,1,9,1,11,1,13,1,9,2,8,1,11,1,9,5,8,1,13,1,11,1,9,1,8,2,11,1,10,1,11,1,16,1,11,1,17,2,16,1,11,1,16,1,9,1,16,2,9,1,8,2,9,2,13,3,9,1,8,2,9,2,11,1,7,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,8,1,9,3,11,2,9,1,13,1,9,8,11,1,9,3,11,2,9,1,11,1,9,1,11,1,9,3,11,1,9,2,11,4,9,2,11,3,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,4,11,2,9,1,11,1,9,1,13,1,9,4,8,1,13,2,9,5,11,1,9,3,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,2,16,1,9,1,11,2,9,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,2,9,2,10,1,16,2,11,1,10,2,9,1,11,2,16,2,10,1,9,2,10,1,9,1,11,1,13,1,11,3,16,1,10,1,16,3,11,1,16,4,11,3,9,1,11,2,9,2,11,1,9,1,11,1,13,1,11,1,9,2,11,1,16,1,11,2,9,2,16,1,9,2,11,2,16,2,11,1,16,4,11,1,16,4,9,1,16,2,11,2,16,4,11,1,16,2,11,3,16,1,11,3,9,1,11,1,9,4,13,2,33,91,5,436,33,1,28,36,6,1,9,1,28,1,6,1,13,1,28,3,6,1,13,1,7,1,30,2,28,2,29,1,30,1,28,11,13,1,6,1,29,1,28,1,9,1,17,1,9,3,11,1,10,1,8,2,9,1,8,1,9,1,10,1,8,1,9,9,8,1,9,1,8,1,9,10,10,1,9,1,10,1,9,3,11,1,9,2,11,1,10,1,9,1,11,1,10,1,9,1,11,1,9,2,13,1,9,6,11,2,28,7,30,1,29,1,7,2,30,1,6,1,30,1,6,1,13,1,6,1,30,1,29,1,6,2,7,1,30,2,13,1,7,1,13,1,6,1,7,1,13,2,30,1,28,8,30,1,28,54,6,3,30,1,28,1,6,1,13,3,6,1,13,3,6,2,13,1,30,1,13,2,6,2,9,1,13,4,6,1,13,3,30,1,13,2,30,4,6,2,13,12,6,2,30,1,6,1,30,1,28,6,6,1,30,1,13,2,6,2,13,1,9,1,13,1,6,2,28,1,6,1,13,1,6,2,13,3,6,1,30,2,9,1,13,1,8,1,13,1,6,1,9,1,13,4,6,1,28,2,13,3,30,1,28,1,6,2,30,1,28,1,30,2,28,14,33,1,5,71,33,3,5,1,33,1,30,1,13,1,7,1,8,1,6,2,7,1,13,1,7,3,8,1,13,1,6,5,28,2,6,1,29,1,6,2,30,1,6,1,30,2,28,2,29,1,30,2,13,1,28,2,6,1,29,2,7,1,6,1,29,1,6,1,29,1,8,1,29,1,7,1,6,1,7,1,13,1,7,1,29,1,7,1,29,1,7,2,29,1,6,1,7,1,6,3,13,1,6,1,7,1,6,1,13,1,7,1,13,1,7,2,13,6,6,1,13,4,33,4,5,39,30,3,28,9,33,1,5,107,33,1,5,6,13,1,10,1,16,1,9,1,24,2,13,1,8,1,13,1,10,1,8,2,12,1,17,2,10,1,17,1,10,1,17,1,12,1,10,1,17,2,16,3,9,1,13,2,8,1,9,1,28,1,5,32,13,1,28,10,30,1,14,1,17,2,12,1,8,1,9,1,7,2,6,1,7,1,30,1,13,1,8,1,9,1,24,1,9,1,17,1,11,1,30,1,28,5,8,1,17,1,9,1,6,2,29,1,28,28,14,2,11,1,9,1,8,1,30,1,13,1,9,2,6,1,29,1,28,4,29,1,6,1,13,1,8,1,11,1,}, {6,1,29,2,7,1,6,1,8,1,17,2,16,1,8,1,6,1,9,1,6,1,13,1,14,1,11,1,28,34,30,1,28,1,30,1,6,1,29,1,13,1,9,1,17,1,8,1,9,1,17,1,14,1,13,1,29,1,6,1,30,1,6,1,28,1,29,1,24,1,10,1,9,1,13,1,8,1,29,1,8,1,10,2,24,1,6,1,29,1,7,1,8,1,9,1,29,1,6,1,30,1,6,2,8,1,17,6,11,1,9,1,13,1,24,1,17,2,12,1,16,1,17,5,16,1,13,1,30,1,28,1,30,1,28,1,29,1,30,4,28,9,30,1,28,4,29,1,6,1,9,1,12,1,11,1,16,1,17,1,16,1,9,1,6,1,8,1,6,1,13,3,9,2,17,3,9,2,16,1,11,1,8,1,17,1,11,1,16,2,12,1,17,4,6,1,13,1,29,1,30,1,28,11,30,1,13,1,11,1,10,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,9,1,17,2,16,1,17,1,16,1,11,1,17,5,11,1,16,5,9,1,16,2,9,1,16,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,3,11,1,16,1,9,1,11,1,13,1,10,2,9,1,11,1,9,1,8,1,9,3,8,2,9,1,11,1,9,1,8,1,9,6,8,1,9,2,13,1,16,2,11,1,16,1,11,1,16,1,9,1,11,1,17,1,11,2,16,1,11,1,16,2,11,2,16,2,11,1,16,1,11,1,17,3,11,1,17,2,16,1,11,2,9,3,11,1,9,1,16,2,17,1,11,1,17,1,11,1,16,1,17,2,16,3,17,6,16,1,17,11,16,1,17,32,6,2,30,1,28,2,30,1,28,2,29,1,28,9,30,1,28,22,30,1,28,6,29,1,28,2,6,1,30,1,28,1,29,1,30,1,6,2,29,1,13,2,24,3,9,1,24,1,9,1,10,1,24,3,10,1,9,1,8,1,11,1,9,2,17,1,12,1,24,1,10,2,24,1,13,2,7,1,13,2,24,1,6,1,8,2,13,1,6,1,13,1,29,1,7,3,29,1,6,2,29,1,30,2,28,3,30,1,28,16,30,2,28,162,13,1,12,1,17,4,16,2,11,1,16,3,17,1,11,1,16,1,11,3,30,1,28,44,6,2,8,1,7,1,9,2,8,2,24,1,9,1,24,2,9,1,12,1,10,1,17,1,12,1,10,2,17,5,8,1,9,2,13,1,16,1,9,3,11,1,8,1,9,2,13,4,9,1,13,1,6,1,13,1,9,1,13,1,9,1,13,2,8,1,13,2,8,2,9,1,8,1,9,3,8,1,11,1,9,2,13,1,9,1,16,2,17,1,9,1,11,1,9,1,8,1,11,1,13,1,11,1,16,1,11,1,9,1,16,1,9,1,11,1,9,1,13,1,8,1,13,1,9,1,11,1,8,1,9,3,13,1,9,2,11,1,13,1,10,1,13,1,10,1,9,3,11,1,9,1,10,1,9,3,17,4,11,1,8,1,10,1,8,1,9,1,13,3,9,2,13,1,9,2,13,1,9,2,13,1,11,1,9,2,11,2,9,2,11,2,9,1,11,2,9,2,13,1,8,1,9,1,13,2,8,1,9,1,13,1,9,5,11,1,10,2,11,1,9,1,10,1,11,1,9,1,11,2,10,1,13,1,11,5,9,4,11,1,9,1,10,1,9,1,10,1,9,1,13,2,8,1,9,1,8,1,11,1,9,4,13,1,9,5,8,1,9,4,11,1,9,1,10,1,11,1,9,1,10,1,9,1,11,1,9,2,11,1,9,6,16,1,11,1,9,2,11,1,9,2,11,1,9,3,11,2,16,1,11,1,9,1,11,6,10,1,9,1,11,1,9,1,11,1,16,1,10,1,11,2,16,1,9,1,16,1,11,2,9,1,10,1,9,1,11,1,10,1,11,2,10,1,11,2,9,1,11,1,16,1,11,1,10,1,11,1,16,1,9,1,11,2,9,1,16,1,13,1,9,1,11,1,9,1,11,2,8,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,11,3,16,1,11,6,16,9,11,1,16,1,11,1,16,1,11,3,16,2,11,3,16,1,9,2,11,4,9,1,11,2,9,4,33,93,5,435,6,1,28,36,13,1,30,1,28,1,7,1,13,1,30,1,28,1,30,4,13,1,30,1,29,1,30,1,7,1,28,9,6,3,28,4,17,1,9,5,10,1,9,4,8,1,9,3,8,2,9,1,11,1,13,1,11,1,8,1,9,1,8,1,13,1,9,1,11,1,13,1,9,2,10,1,8,1,9,3,8,1,10,1,11,1,9,3,11,1,9,1,11,1,9,3,10,1,9,4,11,1,9,2,8,2,9,1,13,1,9,1,13,1,16,1,28,9,6,2,30,3,6,2,13,1,7,2,6,1,7,1,6,1,7,1,6,2,13,1,6,2,7,1,13,1,8,1,13,1,9,1,6,1,28,24,29,1,28,2,30,3,28,31,6,1,28,2,30,3,6,1,13,4,30,1,13,3,9,1,6,1,13,1,6,1,13,5,8,1,6,2,13,3,30,1,28,1,6,1,13,1,6,2,13,2,6,1,13,2,6,1,13,9,8,1,13,1,6,2,13,1,28,1,6,1,28,6,6,2,13,1,6,1,13,1,6,1,13,6,6,2,30,1,13,1,6,1,9,1,13,1,6,1,28,1,6,2,13,7,6,1,30,3,6,1,13,1,6,1,13,1,6,2,30,2,13,1,30,1,6,1,28,1,30,2,28,10,30,1,5,71,33,5,6,1,13,1,9,1,13,1,8,1,7,1,13,1,8,1,13,1,7,1,8,1,7,1,13,2,6,1,29,1,7,1,6,2,28,1,6,1,30,1,29,1,6,1,30,1,28,2,30,2,29,1,30,1,28,6,6,3,30,1,29,4,6,2,7,1,29,1,7,1,28,1,6,1,13,2,6,5,29,1,6,1,13,2,6,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,7,1,13,6,33,4,5,39,30,1,28,1,30,1,28,8,6,1,33,1,5,114,28,1,11,1,9,1,13,2,24,1,8,1,9,1,8,3,12,1,17,1,9,1,10,1,17,2,11,1,12,1,17,1,12,1,16,2,11,1,9,2,13,3,11,1,28,1,5,32,13,1,28,10,13,1,16,1,17,1,16,1,10,1,24,1,9,1,8,1,6,1,30,1,29,1,6,1,7,1,9,3,17,2,16,1,30,1,28,5,24,1,17,1,10,1,13,1,7,1,6,1,28,27,30,1,14,2,16,1,9,1,29,1,30,1,6,1,11,1,9,1,13,1,30,1,28,3,30,1,29,1,30,1,6,1,9,1,10,1,}, {30,1,7,1,13,1,6,1,30,1,24,1,17,3,8,1,29,1,13,1,8,1,24,1,17,1,15,1,7,1,30,1,28,33,30,3,7,1,24,1,10,1,12,1,17,1,10,1,17,1,14,1,24,1,6,1,29,1,30,1,28,1,30,1,6,1,8,1,14,1,24,1,8,1,9,1,6,1,13,2,10,1,8,2,6,1,28,1,9,1,30,1,7,1,13,1,6,3,13,1,12,1,17,3,16,1,12,1,9,1,12,1,9,1,10,1,16,1,17,8,9,2,7,1,28,2,30,1,28,4,30,1,28,14,30,1,8,1,24,1,17,2,10,1,11,1,16,1,9,1,13,6,9,1,17,3,12,1,16,1,9,1,12,4,16,1,11,3,17,3,9,1,6,2,30,2,28,1,29,1,28,6,30,1,28,2,13,1,7,1,9,1,11,1,8,1,16,2,11,2,16,1,11,2,9,1,11,2,17,2,16,1,17,1,16,1,17,1,16,1,17,4,16,1,17,1,16,5,11,1,17,1,16,1,11,1,16,1,11,3,9,1,16,1,9,2,11,1,16,1,11,1,9,3,11,1,9,4,11,1,9,3,13,2,9,5,13,1,11,1,13,1,9,4,8,1,9,3,16,1,11,1,9,1,16,2,11,2,16,1,11,1,16,1,9,1,11,1,16,1,17,1,16,1,10,1,16,3,11,1,17,1,16,1,17,2,16,1,11,1,9,1,16,1,11,2,9,2,16,1,11,1,16,2,11,1,16,1,17,1,16,3,17,2,16,1,17,2,16,2,17,1,16,4,17,6,16,1,17,1,16,1,17,32,9,1,7,1,30,1,6,1,29,1,28,1,29,1,30,2,28,1,30,1,28,32,30,1,27,1,28,2,29,1,28,4,30,2,13,1,6,2,29,1,13,1,8,1,24,1,8,1,9,1,8,1,11,1,8,1,17,1,9,3,10,1,12,3,13,1,24,1,10,1,12,1,7,1,13,1,6,1,7,1,13,1,8,1,7,1,13,1,6,1,8,1,6,1,29,1,7,1,30,2,29,1,6,1,28,1,30,2,28,2,30,1,28,189,6,1,24,1,17,6,11,1,16,2,11,1,16,1,11,1,9,1,11,1,13,1,28,43,30,1,29,1,30,1,7,1,8,1,13,1,24,4,10,1,12,1,10,2,11,2,12,1,10,1,9,1,12,1,11,2,12,1,16,1,17,1,10,1,9,1,8,1,9,2,11,1,8,1,9,1,13,2,9,2,11,1,13,2,9,1,13,2,9,1,13,2,11,1,13,2,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,3,9,1,8,2,9,1,13,1,16,1,11,1,8,1,9,2,11,2,9,1,11,1,9,4,11,1,9,2,11,2,9,1,8,1,9,2,11,1,9,2,8,1,10,1,9,1,11,2,9,2,13,1,11,1,13,1,11,1,9,1,11,1,10,1,11,1,8,1,9,3,10,1,8,2,11,2,13,1,9,1,8,1,13,2,9,3,13,1,8,1,10,1,13,1,7,1,13,3,9,3,11,1,9,1,13,1,9,2,10,1,11,2,8,1,9,1,13,1,9,1,8,1,9,3,13,1,9,1,8,2,10,1,13,1,9,1,11,1,9,1,8,1,10,2,9,3,8,1,9,1,10,1,9,2,11,1,9,2,13,1,9,1,10,1,11,1,9,4,8,2,9,1,11,1,13,2,11,1,8,1,9,1,11,1,8,1,11,1,9,4,8,1,9,1,11,1,13,1,9,2,11,1,13,2,8,1,9,1,10,1,9,1,11,2,9,2,16,1,9,1,11,1,10,1,9,2,13,1,9,3,11,1,9,1,11,1,9,4,11,2,10,1,9,4,16,1,11,6,16,1,9,4,11,2,9,2,13,1,11,1,10,1,9,5,16,1,11,3,10,2,11,4,9,1,16,1,9,2,11,1,16,1,11,1,9,1,16,1,11,2,9,2,11,2,16,2,11,2,9,1,11,1,9,3,16,1,11,2,16,4,11,1,16,1,11,1,16,1,11,1,17,1,11,1,16,1,11,1,16,5,17,1,11,1,16,6,11,1,16,1,11,2,16,1,11,1,9,1,11,4,9,3,10,1,9,1,13,1,33,96,5,432,28,37,13,1,28,2,29,1,13,1,28,4,30,1,13,1,30,1,6,1,28,1,30,2,28,7,29,1,28,8,9,1,8,1,9,2,8,1,9,13,11,1,9,1,8,1,9,1,10,1,8,1,11,1,9,5,13,1,9,4,10,1,9,1,11,1,9,1,11,1,16,1,9,2,11,1,9,1,10,1,9,5,11,1,9,2,8,1,11,1,10,1,9,1,11,1,9,1,17,1,28,9,30,2,6,2,30,1,29,2,30,2,6,1,30,1,6,1,30,1,29,1,30,2,7,2,13,1,29,2,7,2,13,3,6,1,28,7,30,1,28,1,30,2,28,6,30,1,28,2,30,1,28,37,30,2,28,1,30,1,28,1,30,1,28,2,13,1,30,1,6,1,13,1,30,4,28,1,6,1,13,3,9,1,6,1,13,1,6,1,9,1,13,1,8,1,13,6,30,1,6,1,13,1,29,1,13,3,6,1,13,4,6,1,30,1,13,1,6,1,13,1,6,2,30,1,13,1,30,1,6,1,13,1,28,5,30,1,28,5,30,1,6,1,13,2,6,1,13,2,6,1,13,1,6,1,30,1,13,1,6,4,28,3,13,2,6,1,13,1,8,1,6,2,13,3,6,2,30,4,6,1,13,1,30,1,6,1,30,1,28,1,6,1,28,2,30,2,28,2,30,1,28,6,6,1,5,71,33,4,5,1,6,1,9,1,13,3,6,1,13,2,29,1,13,2,6,1,7,1,6,1,29,2,7,1,6,1,30,1,6,1,28,2,29,1,28,1,29,1,30,1,28,2,29,1,30,1,29,1,28,1,30,1,29,1,28,1,30,3,29,1,6,1,30,1,6,3,29,1,6,2,7,2,29,1,8,1,13,1,6,1,29,1,7,1,29,1,6,1,7,1,6,1,7,1,29,1,6,1,8,1,29,1,13,1,6,2,13,2,8,1,6,2,13,1,30,1,7,1,6,1,7,1,13,5,6,1,33,4,5,38,33,1,30,2,28,4,30,1,28,3,30,1,33,3,5,113,13,2,11,1,13,1,8,3,9,4,12,2,17,1,9,1,17,1,12,1,17,4,9,2,11,1,9,1,8,3,9,1,28,1,5,32,13,1,28,10,30,1,16,1,17,1,16,1,9,1,8,3,7,1,29,1,30,1,13,1,8,3,11,1,17,2,10,1,30,1,28,5,8,1,17,1,9,1,24,1,7,1,28,1,30,1,28,26,30,1,14,2,10,1,8,1,13,1,29,1,6,1,9,1,13,1,6,1,30,1,28,5,6,1,7,1,8,1,12,1,}, {6,1,13,1,6,3,9,1,17,2,9,2,13,1,6,1,29,1,13,1,12,1,17,1,28,35,6,1,28,1,30,1,7,1,24,1,12,1,9,1,12,1,10,1,17,2,13,1,29,1,30,1,29,2,30,1,28,1,24,1,15,1,9,1,24,1,13,2,7,1,13,1,9,1,24,1,8,1,29,1,8,1,12,1,24,1,13,1,29,2,6,2,24,1,17,4,11,1,17,2,16,1,9,2,12,1,17,8,9,1,13,1,6,1,30,2,28,2,30,1,6,1,28,1,29,1,28,14,30,1,6,1,24,2,17,1,16,1,17,1,14,1,8,4,13,1,8,3,17,3,10,1,11,1,9,1,10,1,9,2,10,1,16,1,11,1,16,1,17,4,11,1,13,2,28,1,7,1,28,1,30,1,28,4,30,1,28,1,30,1,28,2,6,1,7,1,9,2,11,2,16,3,11,2,16,2,9,1,11,2,17,3,11,1,17,6,11,1,10,1,16,1,10,1,11,1,16,2,11,1,16,2,10,1,11,1,16,1,17,2,16,1,17,2,11,1,9,1,11,2,8,1,11,2,16,1,8,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,16,1,9,1,16,1,9,1,10,1,11,2,16,1,11,1,9,1,11,2,9,1,16,1,10,1,11,1,16,1,11,1,16,2,17,1,16,1,9,1,16,2,11,1,9,1,11,1,9,2,11,1,16,2,17,1,16,4,17,1,16,1,11,1,16,2,17,1,9,1,16,1,9,1,11,1,16,6,11,1,16,3,11,1,16,1,17,1,16,1,17,10,16,1,17,40,10,1,13,1,7,1,6,1,29,1,30,1,29,2,30,1,28,1,30,1,28,10,30,1,28,19,30,3,28,1,30,1,28,2,29,1,30,2,6,1,28,1,29,1,8,1,7,1,9,1,13,1,8,1,13,1,9,3,8,1,9,1,10,1,9,10,7,1,30,1,29,1,30,1,7,1,13,1,6,1,8,1,6,1,30,1,13,1,29,2,28,6,30,1,28,3,30,1,28,190,30,2,8,1,17,1,10,1,17,5,11,2,9,2,16,1,8,1,6,1,28,41,30,1,28,1,30,1,7,1,8,4,10,2,24,1,11,1,9,1,10,1,11,1,9,1,12,1,9,2,10,2,17,1,11,2,16,1,17,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,6,1,9,1,11,1,13,2,9,1,13,3,8,1,13,1,6,1,8,1,9,1,8,2,6,1,9,2,13,1,9,1,8,1,9,2,13,1,9,1,13,2,9,1,8,1,9,8,11,1,9,3,11,1,9,2,11,1,9,3,16,2,8,1,9,1,13,1,9,1,11,1,9,1,10,1,11,1,10,1,11,1,13,1,9,2,13,1,9,2,11,1,9,1,11,1,9,1,8,1,9,1,11,2,13,1,9,1,8,1,9,1,8,2,9,1,8,1,9,1,13,5,8,1,13,1,8,1,13,2,8,1,13,1,9,1,8,1,9,4,11,1,9,2,11,1,9,4,13,1,9,1,8,1,9,1,8,1,11,1,8,1,9,1,13,1,9,2,8,1,13,1,9,5,8,1,10,2,8,1,9,5,13,1,9,2,11,1,9,2,11,1,10,1,9,4,13,1,11,2,9,2,16,1,9,4,11,1,9,2,13,2,9,4,13,2,9,7,11,1,16,1,9,3,11,1,9,8,11,2,9,1,16,1,10,1,11,2,9,1,11,2,16,2,11,2,16,1,9,2,16,1,11,3,9,1,16,1,11,2,9,1,11,1,16,1,17,1,9,1,11,1,9,6,16,1,9,1,11,4,10,1,9,4,16,1,11,1,9,1,11,5,16,1,11,1,9,1,11,1,16,1,11,1,16,1,11,4,16,1,11,1,16,2,11,1,16,3,11,1,9,1,11,4,16,2,11,4,16,1,11,3,16,1,17,1,9,1,16,2,11,1,16,2,11,2,16,1,11,1,16,1,11,1,16,2,11,3,9,1,11,1,9,3,11,1,9,1,13,1,33,97,5,431,28,40,7,1,13,1,28,2,30,4,6,1,29,1,7,1,30,4,28,3,30,1,28,1,30,1,28,7,6,1,9,1,13,1,9,1,8,1,9,2,8,1,10,2,11,1,9,4,8,1,13,1,9,1,8,1,9,3,13,1,9,2,10,1,9,1,8,2,9,2,10,1,9,1,8,1,9,1,8,1,9,3,12,1,13,1,9,4,10,1,11,2,9,1,10,1,9,3,10,1,9,1,8,2,9,3,17,1,11,1,28,10,29,1,30,1,28,1,30,2,29,1,28,2,30,2,6,1,30,1,28,1,7,1,13,2,6,2,28,1,6,1,7,1,6,1,8,3,13,3,30,3,28,2,30,2,13,1,6,1,28,4,29,1,30,1,28,33,9,1,13,1,30,1,28,8,30,1,28,1,30,4,6,1,13,1,6,4,13,1,6,2,13,1,30,1,13,5,9,1,13,2,6,1,13,4,6,1,13,1,6,2,9,1,6,1,13,1,30,1,13,4,6,1,8,1,13,1,9,1,13,1,30,1,13,1,30,1,6,1,30,1,28,1,6,1,28,1,13,1,28,10,30,2,13,1,6,1,13,1,6,1,13,2,30,1,13,1,30,1,28,1,13,1,6,2,28,1,13,2,30,1,13,1,28,1,6,1,30,1,13,1,6,2,8,1,13,2,6,1,13,1,6,1,30,1,6,1,30,1,6,4,30,1,6,1,28,1,6,1,30,1,6,1,30,1,6,1,13,1,28,7,33,1,5,70,33,6,6,1,8,1,13,3,6,1,13,3,7,2,29,1,13,1,29,1,13,1,30,1,6,2,30,5,28,1,6,1,28,3,30,1,28,1,6,1,28,1,29,2,30,1,28,1,6,1,30,1,6,1,28,1,7,1,28,1,30,1,6,1,29,1,13,2,29,2,6,3,7,1,28,1,29,1,6,1,13,1,29,1,13,1,7,1,6,2,7,1,13,1,6,2,7,1,6,1,13,1,7,1,13,1,6,1,8,1,13,1,7,1,13,3,8,1,13,1,8,1,13,1,6,1,30,1,33,3,5,38,13,1,28,5,30,1,28,4,33,5,5,112,13,2,9,1,13,1,8,3,24,2,9,3,12,2,17,2,11,2,17,2,11,1,9,2,8,1,13,1,8,1,9,1,11,1,5,33,28,11,13,1,11,1,17,1,10,1,9,1,8,1,9,1,8,1,7,1,6,1,29,2,8,2,9,1,13,1,9,1,17,1,11,1,28,6,9,1,17,1,10,1,13,2,29,1,28,28,14,1,15,2,9,1,6,1,29,1,30,1,24,1,8,1,13,1,28,6,6,1,7,1,10,1,24,1,}, {7,1,28,1,30,1,29,1,6,1,13,1,17,1,12,1,8,1,24,1,30,2,6,1,13,1,9,1,14,1,13,1,28,34,30,1,28,1,30,1,28,1,7,1,8,1,17,2,12,1,17,1,11,1,8,1,30,1,6,1,30,2,6,1,29,1,10,1,15,1,9,2,7,3,6,1,8,1,24,1,8,1,13,1,6,1,13,2,6,2,13,1,30,2,13,1,10,1,12,1,17,1,12,1,11,1,17,1,16,1,9,1,12,1,16,1,17,10,13,2,6,1,29,1,30,4,6,1,28,2,30,1,28,5,30,1,28,6,30,1,8,2,24,1,11,1,17,3,9,2,8,1,13,3,7,1,13,1,17,1,12,1,17,1,11,1,9,1,11,1,9,1,10,1,11,1,16,1,17,4,11,1,17,3,13,1,6,1,30,3,28,11,13,2,10,2,16,1,11,2,16,1,11,1,17,1,16,2,11,1,10,1,11,3,17,6,16,1,11,2,16,4,17,5,16,3,17,1,11,1,17,1,16,1,10,1,11,2,16,1,11,1,9,1,16,1,9,2,16,3,11,2,9,1,8,1,16,1,9,1,11,1,9,1,11,2,9,1,10,1,9,1,11,5,16,3,11,1,17,2,16,1,11,1,9,1,11,1,16,4,10,1,11,1,16,1,17,1,16,1,17,3,16,2,9,2,16,3,11,1,16,2,11,1,16,3,17,1,16,5,17,1,16,1,17,5,16,1,17,2,11,1,16,2,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,39,16,1,8,1,7,1,6,1,7,1,29,1,7,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,7,30,1,28,7,30,1,28,6,30,2,28,1,30,1,28,2,30,2,28,1,7,1,6,1,8,1,9,1,13,2,9,1,8,2,11,1,8,1,10,2,9,1,8,1,10,1,17,1,9,1,17,1,12,1,17,2,12,1,8,3,6,1,30,1,29,1,7,1,29,1,13,1,29,1,6,1,30,1,28,3,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,196,6,1,30,1,8,1,10,1,17,6,11,1,10,1,9,1,16,1,7,1,6,1,28,1,29,1,28,2,30,1,28,33,30,2,28,3,29,1,7,1,8,1,24,2,8,1,12,1,24,1,12,1,10,1,9,1,11,1,17,1,11,1,17,1,11,2,12,1,9,1,10,1,16,2,9,4,8,1,9,1,13,1,9,1,8,1,9,1,13,1,11,1,13,1,9,2,13,4,9,1,13,1,9,2,8,1,9,3,13,1,9,1,13,4,9,3,11,1,13,1,8,1,13,1,8,1,9,3,13,1,11,2,9,1,11,1,9,4,11,1,9,2,11,1,9,1,11,1,9,1,16,2,11,2,9,1,11,1,9,1,16,1,11,1,9,1,11,1,9,2,8,1,9,4,10,1,9,1,10,1,11,2,16,1,9,3,8,1,9,1,8,1,13,2,8,1,9,1,13,2,7,1,13,5,8,1,6,1,9,1,7,1,13,1,9,3,8,1,9,2,11,1,8,1,9,1,11,1,9,1,10,1,9,2,13,1,9,1,8,1,9,5,11,1,13,1,9,1,11,1,9,1,8,1,13,1,9,1,13,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,10,1,11,1,9,1,11,1,9,2,10,1,9,1,11,1,13,1,9,1,11,1,13,1,10,1,8,1,11,1,9,1,11,2,9,1,11,1,10,1,11,1,9,2,13,1,9,3,13,1,9,2,8,1,10,1,9,5,11,1,9,1,16,1,10,2,9,3,11,1,9,4,11,1,9,3,11,2,9,1,16,1,11,2,16,1,11,2,16,1,9,1,11,1,9,2,11,1,9,1,11,2,9,1,16,1,11,1,9,1,11,1,9,6,16,1,11,2,9,4,11,1,16,1,9,1,10,1,9,3,11,1,9,1,10,1,13,1,9,2,13,1,9,1,11,2,16,1,9,1,16,1,11,1,16,1,11,1,16,1,9,2,16,1,11,2,16,4,11,1,16,1,11,2,16,3,17,1,11,1,9,1,11,1,16,1,11,2,16,2,11,1,16,2,11,1,16,1,11,2,9,1,11,1,16,5,11,3,16,2,11,1,16,3,11,1,16,1,11,4,9,1,11,1,9,2,13,1,33,97,5,431,28,40,30,1,13,1,30,2,28,3,29,1,28,1,6,1,28,8,6,1,28,9,13,1,11,1,9,2,8,1,9,3,13,1,9,8,8,1,9,1,8,2,9,2,11,1,9,3,8,1,9,3,11,1,8,1,13,1,9,4,11,1,9,7,11,1,9,3,10,1,9,2,8,1,9,3,11,1,9,1,16,1,17,1,28,15,30,1,6,1,28,1,6,1,30,1,29,2,6,1,28,1,30,1,29,3,6,2,30,2,7,1,6,1,13,1,7,1,6,1,13,2,6,2,7,1,28,1,30,2,6,1,13,1,7,1,6,2,30,1,6,1,24,1,7,1,28,31,6,1,5,3,33,3,5,1,33,1,30,1,28,3,6,1,13,1,6,2,28,1,30,1,6,1,28,1,6,1,13,1,6,5,13,1,6,1,13,4,9,1,13,4,9,1,13,2,8,1,13,2,28,1,6,1,13,13,6,1,13,1,30,1,28,1,30,1,28,1,6,2,30,1,28,12,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,6,2,13,1,30,1,13,2,30,1,6,1,13,1,28,1,13,1,6,3,28,1,13,1,6,2,13,2,6,1,28,1,6,1,28,3,13,1,6,2,30,1,28,1,30,2,13,1,6,1,13,1,30,1,28,6,5,71,33,5,6,1,9,2,13,7,29,1,13,2,29,1,6,5,30,1,28,1,30,1,29,1,28,1,30,2,28,2,29,1,28,3,30,1,6,1,29,1,28,1,6,1,28,1,30,1,6,1,7,1,6,1,30,1,7,1,6,1,28,1,6,2,29,1,13,1,6,3,13,1,30,1,6,2,29,1,6,1,13,1,7,1,29,1,6,2,7,1,13,3,6,2,7,1,13,1,7,1,13,2,6,1,13,2,7,1,13,3,9,1,6,1,28,1,33,4,5,37,33,1,28,10,5,1,33,4,5,112,13,1,9,2,8,1,12,1,9,1,10,1,9,2,17,1,10,1,17,1,12,2,11,1,17,3,11,1,16,1,9,2,10,1,9,1,13,1,9,1,5,34,28,11,29,1,16,2,17,1,10,2,11,1,30,1,13,1,30,1,29,1,6,1,8,1,9,2,11,1,17,2,9,1,28,6,9,1,16,1,12,1,13,2,30,1,28,27,6,1,14,1,15,1,9,1,8,1,30,1,28,1,6,1,10,1,13,2,30,1,28,4,30,1,13,1,8,1,10,2,}, {28,1,6,1,29,1,30,2,8,1,12,2,10,1,11,1,7,1,6,1,30,1,8,1,12,1,17,1,28,1,30,1,28,35,30,2,13,1,9,1,12,1,10,1,24,1,12,2,13,1,6,1,28,1,30,2,28,1,6,1,8,1,15,1,12,1,13,2,6,1,29,1,13,1,6,1,8,1,13,1,29,1,13,1,9,1,8,1,13,1,8,1,30,1,6,1,29,1,13,1,17,4,16,2,9,1,12,1,11,1,10,1,17,3,11,1,17,5,16,1,13,1,7,1,6,3,30,4,28,15,29,1,7,1,24,1,10,1,13,1,17,1,16,1,17,1,12,1,8,1,13,1,7,1,6,2,8,2,17,4,10,1,9,1,10,1,9,2,17,3,16,1,17,4,16,1,8,1,7,1,30,2,29,1,28,11,29,1,9,2,10,1,11,1,16,3,11,4,16,2,9,1,11,1,10,1,11,1,9,1,16,1,17,2,16,1,17,5,16,1,17,2,16,1,17,1,16,1,17,2,11,1,17,5,16,1,17,1,16,1,11,1,16,1,11,1,16,4,8,1,10,1,9,1,11,2,13,1,9,1,10,1,9,1,16,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,11,1,10,1,16,1,11,1,16,3,17,1,11,1,17,1,16,2,11,1,17,1,16,8,9,1,17,1,11,2,17,1,16,1,17,2,11,1,16,2,11,2,17,1,16,3,17,3,16,2,11,1,10,1,11,2,9,1,11,1,16,1,11,1,16,1,11,1,16,6,17,1,16,1,17,1,16,1,17,41,9,1,13,1,7,1,13,1,28,1,30,2,29,2,28,2,30,1,28,4,30,1,28,1,30,1,28,11,29,1,28,1,30,1,28,2,30,1,28,1,30,1,29,1,6,1,29,2,30,1,29,1,28,1,29,1,30,1,6,2,13,1,24,1,13,1,8,1,9,2,8,1,10,1,9,1,11,1,9,2,8,1,9,3,11,1,12,3,8,1,9,1,8,2,29,1,7,1,13,1,29,1,30,2,28,1,29,1,30,1,28,211,13,1,9,1,17,6,12,1,17,2,13,1,28,11,30,2,28,29,6,1,29,2,8,4,9,2,10,1,9,1,11,1,9,1,17,1,12,1,16,1,11,1,10,1,9,1,12,2,16,1,12,1,17,1,8,1,9,1,8,1,9,3,13,1,9,2,13,3,9,3,8,1,13,2,9,1,13,2,9,1,13,1,9,4,8,1,9,6,13,1,8,1,9,1,13,1,9,1,8,1,13,1,9,4,11,1,9,2,11,1,13,1,16,1,11,1,8,1,13,1,9,1,16,1,9,1,10,1,9,1,11,1,9,3,16,1,10,1,9,1,13,1,9,1,11,1,9,1,11,1,17,1,11,1,9,1,10,1,8,1,10,1,11,1,9,3,13,1,16,1,9,1,11,1,8,1,9,1,16,1,10,1,9,1,11,1,16,1,11,1,9,2,11,1,13,2,6,2,13,2,7,1,8,1,13,3,8,2,9,7,11,1,9,1,8,1,13,1,9,3,13,2,9,1,8,1,9,3,11,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,11,1,9,1,8,1,9,7,8,1,13,1,9,2,11,1,9,1,11,1,9,5,16,1,11,1,9,3,11,2,10,1,8,1,9,4,8,1,9,2,8,1,11,1,9,2,13,1,11,1,8,1,11,1,9,1,8,1,9,1,11,1,10,1,9,2,13,1,9,1,11,1,9,3,11,1,16,1,11,1,9,3,16,1,9,1,11,1,9,1,11,2,9,1,11,4,9,3,11,1,9,4,11,2,9,2,11,1,10,1,9,1,11,1,9,2,16,1,9,2,11,1,10,1,16,2,9,2,16,1,11,1,10,1,9,2,8,1,13,1,9,2,13,1,9,3,11,6,16,1,9,1,16,1,9,1,16,1,11,1,10,1,13,1,11,1,16,5,11,1,16,8,11,1,16,2,11,1,16,2,10,1,11,1,16,1,11,2,9,2,16,1,17,1,16,2,11,8,16,1,11,5,9,1,11,2,9,3,13,2,33,97,5,429,30,1,28,40,6,1,28,3,30,2,28,2,6,1,28,6,29,2,13,1,28,10,9,1,12,1,9,2,13,1,9,5,8,1,9,10,8,1,9,4,11,1,13,1,9,1,8,2,9,1,8,1,9,2,13,1,9,6,11,1,9,2,11,2,9,6,8,1,9,1,8,1,9,1,10,1,11,1,17,1,7,1,28,16,30,1,28,1,6,1,30,1,28,1,30,2,28,1,30,3,29,1,6,1,29,2,28,1,29,1,6,3,28,1,7,1,10,1,6,2,29,1,6,1,7,1,13,1,6,1,13,1,7,3,6,2,28,5,6,1,28,8,29,1,28,17,6,1,5,14,6,1,30,1,28,1,30,1,6,1,30,1,6,1,28,1,6,3,30,1,6,1,13,2,6,1,13,10,6,1,13,2,9,2,8,1,6,1,13,5,6,1,13,7,6,1,13,1,6,1,30,1,28,1,29,1,28,1,30,2,28,8,30,1,28,2,6,4,30,1,13,1,6,1,13,2,30,1,13,1,28,1,6,1,13,1,30,1,6,1,28,1,30,1,28,1,13,1,6,1,30,1,28,1,6,1,28,1,6,2,30,1,13,1,30,1,13,1,6,4,28,3,30,1,6,5,28,1,30,1,28,7,13,1,5,71,33,5,13,1,9,1,13,1,6,1,13,1,8,1,13,1,6,1,8,1,13,1,7,1,6,3,30,1,7,1,29,1,6,1,29,2,6,1,28,1,6,1,28,2,30,1,28,1,30,1,6,1,30,2,28,2,30,1,28,1,29,2,28,1,6,1,28,1,29,1,30,1,6,1,29,2,7,1,29,1,30,1,29,1,7,1,6,3,29,1,6,2,7,1,6,6,7,1,13,1,6,1,7,1,6,2,13,1,6,1,13,3,6,1,13,1,6,1,13,1,6,1,13,3,9,1,28,2,33,3,5,39,6,1,28,3,30,2,28,4,33,4,5,113,30,1,13,1,11,1,9,3,10,1,8,1,11,3,9,1,16,1,17,1,11,1,17,1,11,1,10,1,11,1,8,1,11,1,13,1,9,2,5,35,28,11,13,1,10,1,17,1,11,2,8,1,9,1,29,3,28,1,29,1,8,1,24,1,9,1,11,1,12,1,17,1,8,1,28,6,11,1,17,1,10,1,6,1,9,1,29,1,28,27,13,1,14,2,9,1,10,1,30,2,13,1,24,1,8,1,30,1,28,6,8,1,24,1,17,2,}, {30,1,29,1,30,2,6,1,13,1,10,1,12,1,24,1,13,3,6,1,8,1,9,1,17,1,30,2,28,35,30,1,6,1,7,1,24,2,9,1,12,2,10,1,7,1,29,1,6,1,28,1,30,3,24,1,15,2,8,1,6,1,13,1,7,2,24,1,13,2,6,1,13,1,9,1,10,1,8,1,6,4,24,1,11,1,17,3,11,3,9,2,11,1,17,1,12,1,10,1,17,6,12,1,8,1,13,1,6,1,30,1,29,1,28,1,30,1,28,1,29,1,30,1,28,14,29,1,28,1,24,2,12,1,17,1,11,1,17,2,8,1,6,1,13,2,29,1,13,1,8,1,9,1,17,1,11,1,17,1,9,4,16,1,17,2,16,1,17,1,12,1,17,4,8,1,6,1,28,1,6,1,28,9,30,1,28,2,6,1,9,1,11,2,16,2,11,1,16,1,11,4,16,4,11,2,9,1,10,1,16,1,17,3,16,1,11,1,17,1,16,1,11,1,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,3,17,2,16,1,11,2,16,1,11,1,16,1,17,1,11,1,9,1,10,1,16,1,11,4,16,1,11,2,16,1,17,1,16,2,9,1,11,1,16,1,9,1,16,3,17,1,11,1,17,1,16,1,17,1,16,2,17,1,11,1,17,2,16,3,17,2,11,1,16,1,9,1,16,2,17,1,9,1,16,2,17,4,16,1,9,1,17,2,16,1,17,2,16,1,11,1,16,2,9,3,11,1,16,1,11,3,16,1,9,1,16,1,11,3,16,1,17,1,16,2,17,1,16,1,17,11,16,1,17,32,13,1,6,1,13,1,6,1,7,1,6,1,29,2,28,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,1,30,3,6,1,28,1,29,1,28,2,29,1,28,6,30,3,28,1,6,1,28,1,6,1,29,1,28,1,29,2,30,1,7,2,13,1,8,1,9,1,13,1,9,2,24,1,13,1,24,1,9,2,10,2,9,1,11,1,12,1,11,1,17,1,12,1,9,1,24,1,8,1,13,1,30,2,29,2,28,220,6,1,7,1,13,1,9,1,17,5,13,1,6,1,30,1,28,35,30,1,28,3,30,1,6,1,30,1,6,1,8,1,13,1,8,2,12,1,24,1,10,1,9,1,10,4,11,1,9,1,12,1,17,1,12,2,17,1,16,1,11,1,8,1,9,1,13,1,9,2,8,1,9,3,8,1,9,1,16,1,13,1,9,1,13,3,9,1,13,1,8,2,13,1,9,1,13,1,9,1,13,1,9,3,13,1,9,1,13,1,9,2,8,1,9,4,11,1,9,2,8,1,9,4,11,1,10,1,9,4,16,2,9,3,11,1,16,1,9,2,10,1,9,3,11,1,16,1,9,2,13,1,9,1,16,1,9,1,8,1,11,1,9,1,8,1,9,1,11,1,9,1,10,1,11,1,9,2,16,1,11,1,16,1,9,1,17,1,9,1,16,2,11,1,16,2,9,1,13,1,9,2,13,8,11,1,8,4,13,1,11,1,9,4,8,2,9,1,13,1,9,3,11,1,9,2,8,1,9,2,8,1,9,5,10,1,9,2,10,1,11,1,9,3,11,2,9,3,11,1,9,3,8,3,9,4,13,1,9,3,11,2,9,1,13,1,9,1,16,1,9,1,8,1,9,2,13,1,9,3,8,1,9,1,8,1,11,1,9,1,11,1,9,1,11,1,9,8,11,1,9,2,11,2,9,1,16,1,9,2,16,1,9,1,16,1,13,1,11,1,9,9,11,1,9,1,11,1,9,2,11,1,9,1,11,1,10,1,9,4,11,1,8,1,11,1,9,1,11,1,16,1,9,1,10,1,9,2,11,1,9,14,11,2,17,1,11,1,9,1,11,1,9,1,11,2,16,1,11,4,16,1,11,1,16,1,11,1,16,5,11,1,16,4,11,2,16,2,11,1,16,1,11,1,16,1,11,2,16,1,9,1,16,5,9,1,11,1,9,2,11,1,16,1,11,1,9,1,11,4,9,1,11,2,9,2,13,2,9,1,13,1,33,98,5,428,28,33,29,1,28,9,29,1,28,1,30,2,28,8,30,2,6,1,28,11,9,1,11,1,13,1,9,2,10,1,9,3,11,1,9,1,11,1,9,4,10,1,9,4,11,1,9,3,10,1,9,2,8,2,13,1,9,6,13,1,9,4,11,2,9,5,10,1,9,1,8,3,9,2,8,1,13,1,17,1,8,1,28,21,30,1,28,2,30,2,28,5,30,1,29,2,30,4,8,1,13,4,9,1,13,2,8,1,7,1,30,1,28,2,13,1,28,6,30,2,28,5,6,1,28,18,5,18,13,2,6,1,30,2,28,1,6,1,30,2,6,4,13,4,6,1,13,5,9,2,6,1,30,1,13,1,9,2,13,3,8,1,13,3,30,1,13,1,28,1,13,2,30,1,13,4,30,1,28,1,30,1,29,1,28,11,30,1,28,6,13,1,6,1,13,3,6,1,30,1,28,1,13,3,6,1,13,1,6,1,30,1,13,1,30,1,6,1,30,1,6,2,28,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,28,1,13,1,28,3,30,1,6,1,13,1,6,1,13,1,30,1,28,2,6,1,13,1,6,3,30,1,13,1,5,70,33,6,9,1,8,1,13,2,7,1,13,1,7,1,13,4,7,1,13,1,29,1,6,1,30,1,29,4,28,1,6,1,28,2,30,1,28,1,29,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,1,29,4,6,1,28,1,30,1,6,1,29,1,6,2,29,3,6,1,29,2,30,1,6,2,29,2,6,3,29,1,6,2,7,1,6,2,13,1,6,1,7,1,13,2,7,1,6,1,13,1,6,1,13,2,8,1,7,1,13,1,30,1,28,1,33,4,5,38,33,1,28,10,33,2,5,114,13,1,30,1,9,1,16,1,17,1,11,1,10,1,9,1,12,1,11,2,10,1,11,2,17,1,10,1,9,1,8,1,9,3,5,36,13,1,28,11,7,1,16,1,17,1,10,1,16,1,8,1,7,1,6,2,30,1,28,2,8,1,9,2,16,2,17,1,6,1,28,6,9,1,17,1,10,1,6,1,13,1,29,1,28,27,13,1,14,1,16,1,9,2,6,1,28,1,13,1,9,1,8,1,29,1,28,5,29,1,13,1,8,1,10,1,17,1,}, {30,1,6,1,29,1,30,2,8,1,17,1,10,1,8,2,7,1,6,1,7,1,6,1,10,1,24,1,8,1,28,38,13,2,24,1,12,1,9,2,15,1,8,1,29,2,28,1,29,2,30,1,8,1,14,1,24,1,13,1,8,1,13,1,6,2,7,1,13,1,6,1,29,1,7,1,8,1,15,1,8,1,7,1,29,1,6,2,7,1,16,1,17,4,11,1,12,1,9,3,17,1,11,1,17,8,9,1,13,1,6,1,28,1,30,2,29,2,6,2,30,1,28,14,30,1,8,1,12,1,17,1,11,1,17,1,16,1,17,1,9,1,13,2,6,1,13,3,11,1,12,1,17,2,9,1,10,1,9,1,13,1,9,1,11,1,17,1,12,1,17,5,16,1,13,2,7,1,6,1,30,1,28,11,6,1,13,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,17,1,11,1,16,1,11,1,16,2,11,5,16,1,17,7,16,1,17,1,11,1,16,1,17,3,11,1,16,1,17,6,11,1,10,1,16,1,11,2,16,3,17,1,11,2,9,3,16,3,11,1,16,1,17,1,16,4,11,1,16,1,17,1,16,1,17,3,16,2,17,1,9,1,17,2,16,1,11,1,16,1,17,1,16,2,17,1,16,1,17,3,9,1,17,1,11,1,16,2,17,1,16,3,17,1,11,1,10,1,16,1,9,3,11,1,9,1,16,1,11,4,16,2,11,1,16,2,17,1,16,1,11,2,17,1,16,1,17,8,16,1,17,1,16,1,17,34,16,1,17,2,9,2,7,2,6,3,28,1,7,1,30,1,29,2,6,1,28,1,29,2,28,1,30,2,29,1,28,1,30,5,29,1,6,1,30,1,29,2,28,1,6,1,7,1,29,1,6,2,29,2,30,1,6,3,30,1,13,1,30,1,13,1,9,2,13,1,9,2,24,1,11,1,13,1,9,1,11,1,10,1,24,1,12,1,17,2,10,3,8,1,13,1,6,1,13,1,30,2,7,1,30,1,28,1,30,1,28,222,30,1,13,1,10,1,11,1,17,1,9,1,6,1,28,29,30,1,28,10,30,1,28,1,6,1,29,1,6,1,7,1,24,1,8,1,9,1,24,1,10,1,9,2,17,1,9,1,12,1,17,1,9,1,11,1,10,1,11,1,17,3,16,1,9,1,8,1,11,1,13,1,9,2,11,1,13,1,9,1,13,1,9,1,11,1,13,1,9,4,13,1,9,1,6,1,13,1,8,1,6,3,9,1,13,1,9,1,13,2,16,1,9,1,8,1,11,1,9,2,11,1,9,1,10,1,13,1,9,2,13,1,9,1,8,1,9,1,11,1,9,1,8,1,9,2,11,1,9,2,8,1,9,1,13,1,9,1,10,1,9,7,16,1,9,3,16,1,8,1,11,1,9,1,8,1,13,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,10,1,9,2,16,1,17,1,9,1,16,1,9,1,16,2,11,1,10,1,17,1,11,2,9,1,13,1,9,3,13,1,9,1,13,2,9,1,11,1,13,2,9,1,13,1,11,1,16,1,9,1,13,2,9,1,8,1,13,1,9,1,13,2,11,1,9,2,13,1,10,1,9,2,11,1,9,1,13,1,11,1,10,1,11,1,8,1,9,1,16,1,9,1,11,3,9,2,16,1,13,1,11,1,9,2,8,1,9,9,11,1,13,1,10,3,9,1,11,1,9,1,11,1,9,1,11,1,13,1,9,5,10,1,11,1,8,2,9,2,10,1,9,1,16,1,11,1,9,1,11,1,9,3,11,5,9,3,16,2,9,1,11,2,9,1,11,3,9,3,10,1,9,2,16,1,9,3,11,1,9,3,11,1,9,2,13,1,9,3,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,3,11,1,13,1,9,9,11,1,9,2,16,1,9,2,16,1,9,1,11,1,10,1,11,1,9,1,16,1,9,2,11,1,9,1,16,7,17,1,11,2,16,1,17,1,16,1,11,2,16,8,9,1,16,1,11,2,16,1,17,1,11,1,16,1,11,1,9,1,11,1,16,1,11,2,9,1,11,1,9,2,11,1,16,1,11,3,9,1,11,1,10,1,9,4,13,1,5,1,33,98,5,428,28,39,30,1,28,3,30,1,6,1,28,4,29,1,28,5,6,1,30,1,28,11,9,1,11,1,9,1,8,1,9,1,11,1,9,1,13,1,9,2,10,2,9,5,10,1,13,1,9,1,16,1,13,1,9,3,8,1,9,1,8,2,9,1,8,1,9,1,8,1,9,4,8,1,9,1,11,1,9,2,11,2,9,2,11,1,8,2,9,3,13,1,9,4,17,2,28,22,30,2,28,1,30,1,28,5,6,1,28,1,6,1,7,1,13,1,6,2,30,3,13,1,7,1,9,1,13,1,11,1,9,2,8,1,13,1,6,1,28,1,30,1,28,1,7,1,28,5,30,2,28,21,5,23,13,1,33,1,6,2,13,1,28,1,30,1,13,2,6,1,13,2,30,1,13,2,30,1,6,1,13,5,9,1,13,1,30,1,13,2,9,2,13,7,6,1,28,1,30,1,28,1,30,2,6,1,28,1,6,1,30,1,28,13,30,1,28,1,30,3,28,1,6,1,28,2,30,1,28,1,30,2,6,1,30,1,13,1,6,1,30,1,13,1,28,1,13,1,30,1,6,2,30,1,28,1,13,1,30,1,28,3,6,1,28,1,6,4,30,1,28,2,6,1,28,1,13,1,6,1,13,1,6,1,30,1,6,1,28,1,13,1,6,1,13,2,6,1,28,1,6,1,5,71,33,4,13,1,9,1,13,2,6,1,13,2,6,1,7,1,13,1,7,3,6,2,28,1,29,1,6,1,30,1,6,1,29,1,28,1,7,1,28,1,30,1,28,1,30,1,28,2,30,1,29,1,30,1,29,1,28,4,30,1,6,1,29,2,30,1,28,1,7,1,28,1,29,1,30,1,7,1,30,1,6,5,29,1,13,1,6,2,30,1,13,1,6,1,29,1,13,1,6,1,7,2,6,5,7,1,13,2,6,1,7,1,13,1,7,1,13,1,7,1,13,1,7,1,13,2,6,1,30,1,33,4,5,39,13,1,28,8,30,1,5,117,13,1,28,1,13,1,16,1,17,1,11,2,9,6,17,1,9,3,5,38,30,1,28,11,13,1,12,1,17,1,16,1,24,1,13,2,7,1,30,2,28,1,29,1,8,1,9,2,11,1,12,1,17,1,13,1,28,6,14,1,17,1,9,1,6,2,30,1,29,1,28,26,9,1,17,2,11,1,8,1,13,1,28,1,6,1,10,1,7,1,6,1,28,6,13,1,9,1,12,2,}, {29,1,30,1,6,1,30,1,28,1,13,1,10,1,17,1,10,1,9,1,6,1,29,1,6,1,8,1,24,1,15,1,13,1,28,38,6,1,8,1,24,1,8,1,9,1,12,1,14,1,8,1,6,1,28,1,30,1,6,1,30,1,28,1,8,1,12,2,24,1,6,1,7,1,6,1,7,1,8,1,24,1,13,1,8,1,29,1,7,1,14,1,24,1,13,1,8,1,29,1,7,1,13,1,12,1,17,3,10,2,16,1,9,3,17,10,13,2,6,1,29,1,30,2,28,1,30,1,28,1,29,1,28,3,30,1,28,7,30,1,28,1,30,1,28,1,13,1,8,2,10,1,17,1,11,1,17,2,10,1,13,2,7,1,13,1,6,2,11,1,17,2,16,1,10,1,9,1,10,1,11,1,12,1,16,1,17,8,9,1,6,1,28,1,29,2,30,1,28,10,29,1,9,1,11,1,16,1,11,2,17,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,2,11,1,16,1,11,2,16,1,17,1,16,1,17,11,10,2,17,3,16,1,17,1,16,1,17,1,16,1,17,2,16,3,11,1,16,2,17,1,16,3,17,1,16,1,11,1,16,1,17,1,11,1,16,1,11,2,16,1,11,1,17,4,16,2,11,2,17,1,11,1,17,1,16,2,17,2,16,1,17,5,10,1,17,1,11,1,17,1,16,1,11,1,9,5,16,1,9,1,11,1,9,1,11,1,9,2,11,1,16,1,11,7,16,1,17,1,16,4,17,4,16,1,17,3,16,1,17,31,16,1,17,11,13,1,6,6,28,1,13,1,29,2,6,1,30,2,29,3,28,1,30,4,6,2,29,1,30,1,29,1,30,1,28,1,30,3,29,1,28,1,7,1,29,1,6,1,29,1,7,1,6,1,29,1,7,1,8,1,29,1,11,1,8,1,13,1,10,1,9,2,10,1,9,2,11,1,12,1,17,1,9,1,17,2,10,1,11,1,24,1,13,1,7,1,6,1,29,1,30,1,28,1,29,1,28,228,6,1,13,3,30,4,28,36,30,1,28,2,29,1,13,1,8,2,24,4,12,1,10,1,11,1,9,1,10,1,11,2,9,1,16,1,8,1,12,1,17,2,11,1,13,1,9,3,13,1,8,1,9,4,13,1,8,1,9,1,8,2,9,1,13,1,8,1,13,1,9,1,13,4,9,1,13,3,9,2,13,1,9,2,11,1,9,9,16,1,9,4,13,1,16,1,11,1,9,2,13,1,9,2,11,1,9,1,8,1,9,1,13,1,9,1,11,1,9,3,16,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,10,1,11,1,9,1,11,1,9,4,11,2,9,1,8,1,9,2,11,2,9,1,17,2,16,1,9,1,16,1,9,1,16,1,11,2,9,1,8,1,13,1,9,1,13,1,8,1,9,1,13,1,9,2,8,1,9,1,13,2,9,3,8,1,9,6,8,1,9,1,13,1,9,1,13,2,9,1,8,1,9,2,11,1,9,1,11,1,9,3,10,1,9,1,10,1,11,2,9,1,11,1,9,3,11,1,9,1,11,1,13,1,11,1,13,1,9,1,11,1,13,1,11,1,9,9,8,1,13,1,10,1,9,4,13,1,11,2,9,1,13,1,9,4,11,1,9,2,11,2,9,3,16,2,8,1,11,2,9,2,11,1,10,1,11,1,16,1,9,3,11,1,9,3,11,1,9,6,11,2,9,7,11,1,9,3,13,1,9,3,11,1,9,6,16,1,13,2,11,1,9,2,11,1,13,1,9,2,11,1,9,1,8,1,11,3,9,3,11,1,9,1,11,2,9,4,16,1,10,2,9,1,10,1,16,4,11,2,16,3,11,1,9,1,11,1,16,4,11,1,16,2,9,1,11,1,16,2,17,1,16,4,11,2,9,1,16,2,11,1,9,1,16,1,11,2,16,1,11,5,10,1,9,1,11,1,9,2,11,1,13,3,33,97,5,428,30,1,28,2,33,5,28,35,29,1,6,1,28,1,30,1,28,3,6,1,29,1,28,16,9,6,11,1,9,1,10,3,9,1,11,1,9,4,11,1,8,1,9,4,13,1,9,1,8,1,9,3,8,2,9,3,8,1,9,1,8,1,9,1,8,1,9,3,8,1,9,2,11,1,9,1,11,1,9,6,8,1,9,1,17,2,30,1,28,21,30,1,28,1,6,2,28,4,30,3,6,1,30,2,13,1,6,1,13,1,29,1,28,1,13,3,30,1,6,1,13,1,9,3,10,1,13,2,28,1,30,1,28,4,30,1,28,2,30,1,28,5,30,1,28,13,6,1,5,26,33,1,6,1,33,1,13,5,8,1,6,2,13,2,6,1,13,5,30,1,13,1,6,1,13,2,9,1,13,1,9,2,13,2,9,1,13,4,30,1,28,1,13,2,6,2,29,1,28,1,6,1,30,2,28,11,30,3,28,1,30,2,13,1,30,1,28,2,30,1,13,1,6,1,28,1,13,2,30,1,13,3,6,2,30,1,6,1,28,1,30,1,6,1,28,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,29,1,6,1,28,1,30,1,6,1,28,2,6,1,30,1,6,1,13,2,28,1,6,1,28,1,30,1,13,3,28,1,13,1,5,70,33,5,13,7,6,1,13,1,7,1,13,1,6,2,7,1,6,1,30,1,6,2,29,1,6,1,28,1,6,1,29,1,6,1,28,1,30,1,28,2,30,3,28,1,6,2,29,1,28,2,30,1,28,2,7,1,28,1,30,1,29,1,7,1,6,1,29,1,30,1,29,1,6,1,29,1,8,1,6,2,29,1,6,7,29,1,13,2,6,2,7,1,13,1,29,1,13,1,6,1,7,1,13,3,7,1,13,2,7,1,13,3,9,1,6,1,28,1,33,3,5,41,33,1,13,1,28,2,6,1,28,4,5,117,33,2,5,2,11,1,16,3,8,1,11,1,9,4,11,1,5,39,6,1,28,11,13,1,14,1,17,1,12,1,9,1,13,1,9,1,30,1,28,1,6,1,28,2,6,1,9,2,12,1,17,2,6,1,28,5,30,1,14,1,17,1,8,1,29,1,6,1,7,1,29,2,30,1,28,24,9,1,17,1,16,1,9,1,13,1,7,1,28,1,8,1,24,1,9,1,13,1,28,5,30,1,7,1,24,1,17,1,9,1,}, {6,1,29,1,6,1,29,1,28,1,13,1,17,2,10,1,24,1,8,1,6,1,13,1,8,1,10,1,17,1,13,1,28,36,30,1,28,1,29,1,8,1,24,1,9,1,24,1,10,1,14,1,8,1,6,1,28,1,29,1,28,1,30,1,28,1,13,1,12,2,24,1,13,1,29,1,8,1,13,1,8,1,9,1,8,1,7,1,13,1,8,1,14,1,8,1,13,1,6,2,7,1,13,1,9,1,17,3,16,1,11,3,10,1,9,1,11,1,17,1,16,1,17,7,13,2,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,3,30,1,28,1,30,1,28,1,6,1,10,2,16,2,17,2,13,1,6,1,13,2,7,1,13,1,7,1,9,1,17,2,16,1,9,2,24,1,9,2,16,2,17,1,12,1,17,2,11,1,17,2,11,1,29,2,30,2,28,1,30,1,28,9,6,1,10,1,11,2,17,1,11,2,16,2,11,3,16,1,11,1,16,5,17,1,11,1,10,1,11,4,17,5,16,1,17,1,16,2,17,3,16,1,17,3,11,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,6,9,1,11,1,16,1,11,1,16,1,17,1,10,1,11,3,16,1,9,1,11,1,16,2,17,2,16,1,11,1,16,2,17,1,16,1,17,3,16,1,17,2,16,1,9,3,11,2,9,5,11,1,9,1,8,1,9,1,11,1,9,1,11,1,10,1,9,2,11,1,16,1,11,2,9,1,11,2,16,1,11,1,16,2,17,2,16,1,11,1,16,2,17,1,11,1,17,1,16,1,17,20,16,1,17,20,16,1,17,2,16,1,17,4,9,1,7,1,6,1,7,1,6,1,7,1,29,1,6,2,29,2,28,1,30,1,29,2,30,1,6,1,28,2,29,1,28,1,30,1,6,1,28,1,30,1,6,1,7,1,29,1,6,2,13,1,6,3,28,2,6,1,7,2,24,1,8,1,24,1,9,1,12,1,9,1,10,1,11,2,9,2,10,1,9,1,12,1,17,1,12,1,9,2,10,1,8,1,13,1,6,3,28,173,30,1,28,63,30,2,29,1,6,1,8,1,7,1,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,18,30,1,29,1,28,1,30,1,28,1,30,1,6,3,29,1,24,1,6,1,13,1,24,1,9,1,24,1,9,6,10,1,9,1,12,3,17,1,16,1,17,1,16,1,9,4,8,2,13,1,9,2,13,1,9,1,8,1,9,3,11,2,13,5,9,2,6,1,13,2,6,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,9,3,11,1,13,1,9,1,13,1,16,1,9,2,16,1,13,1,9,2,8,2,9,1,13,1,11,2,16,2,11,3,9,2,13,1,9,3,16,1,9,2,8,1,9,1,13,1,11,1,13,1,11,1,13,1,9,1,13,1,11,1,9,5,11,1,16,2,10,1,9,1,11,2,10,1,16,1,17,1,11,1,16,1,17,1,11,1,16,1,17,1,16,1,9,1,8,1,9,2,13,2,9,5,8,1,9,2,13,1,9,2,8,1,9,1,8,1,13,2,9,2,8,1,9,2,8,1,9,1,8,1,9,1,11,1,9,2,11,1,9,1,11,1,9,4,11,1,8,1,9,2,11,1,9,1,11,1,9,3,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,8,1,11,1,13,2,9,2,8,1,11,1,9,1,8,1,9,1,10,1,11,1,8,1,10,1,9,1,11,2,13,1,10,1,8,1,9,1,11,1,8,1,11,4,9,5,11,1,9,4,11,1,9,1,11,1,9,2,11,1,9,1,11,3,10,1,11,2,9,3,16,1,9,2,11,1,9,2,16,1,9,1,8,2,11,1,13,1,10,1,13,1,8,1,9,2,11,1,9,1,11,1,9,2,10,2,9,5,8,1,11,1,9,6,11,1,13,1,9,4,11,1,8,1,11,1,13,1,9,3,11,1,16,1,9,1,16,1,10,1,11,2,10,1,16,4,9,1,16,5,11,1,16,1,11,2,16,2,11,1,16,2,11,1,17,1,16,3,11,1,16,2,9,1,11,1,16,1,11,1,16,3,11,5,16,2,11,3,9,2,13,1,9,3,13,1,5,1,33,98,5,436,33,2,28,32,13,2,28,1,30,1,28,4,30,1,28,16,6,1,9,6,11,1,10,1,9,1,11,1,10,1,9,1,10,1,9,2,10,2,8,1,11,1,9,3,10,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,13,1,9,1,10,1,8,1,10,1,9,3,10,1,8,1,9,11,13,1,8,1,17,1,13,1,28,30,6,1,28,1,29,1,30,3,6,1,30,1,28,1,6,1,13,1,6,1,28,5,6,2,13,2,8,1,9,1,13,2,28,1,30,1,28,4,29,1,28,3,30,1,28,15,13,1,5,31,13,2,6,1,9,1,13,3,6,1,13,2,6,1,13,2,6,1,30,1,13,1,6,1,13,7,9,2,13,5,28,1,6,1,13,1,30,1,13,2,30,1,6,1,28,1,6,1,28,12,6,1,30,1,6,1,30,2,6,1,30,3,28,4,30,1,6,2,28,1,6,2,30,2,28,5,30,1,28,1,6,1,28,4,30,1,28,2,30,1,13,1,30,1,6,1,28,3,30,1,13,2,6,1,13,1,30,1,13,3,6,1,13,1,28,1,6,1,5,70,33,5,13,1,9,1,13,6,7,2,13,1,8,1,13,1,7,1,6,2,30,1,6,1,30,1,29,3,28,2,29,1,7,1,30,2,28,1,30,1,28,1,29,1,28,1,30,3,29,2,28,1,30,1,28,1,13,1,30,1,29,3,6,1,7,3,30,1,6,1,7,1,30,1,29,1,6,2,30,1,7,1,30,1,13,1,6,1,30,1,7,1,6,2,13,2,29,1,7,1,13,1,6,1,13,1,6,2,13,4,8,1,13,3,10,1,6,1,30,1,33,3,5,45,13,2,28,3,5,124,16,2,11,1,13,1,11,2,5,40,28,12,6,1,14,1,11,3,8,1,13,1,6,1,28,1,30,1,28,1,29,1,13,1,24,1,9,1,16,1,17,2,30,1,28,5,29,1,16,1,17,1,8,1,6,1,30,1,13,1,30,1,29,1,28,25,16,1,17,1,12,1,8,2,30,2,9,1,24,1,8,1,6,1,28,6,13,1,9,1,12,1,13,1,}, {28,1,29,2,28,1,30,1,13,1,10,1,17,1,10,1,11,1,13,1,6,1,13,1,24,2,17,1,24,1,28,33,30,1,28,2,30,1,28,1,30,1,8,1,13,1,24,1,12,1,9,1,10,1,8,1,6,1,28,1,30,4,6,1,17,1,9,1,8,3,6,1,13,2,24,2,8,1,28,1,7,1,17,1,13,1,8,1,6,1,13,1,6,1,13,1,10,1,17,4,12,1,10,1,12,1,9,2,10,1,17,9,11,1,13,1,6,2,28,1,30,2,28,17,29,1,13,1,24,1,17,1,16,1,17,4,9,1,7,1,29,1,6,1,13,3,8,1,12,1,17,2,8,1,11,1,10,1,9,1,11,1,9,1,17,2,16,1,11,1,16,1,17,1,16,1,17,1,8,1,6,2,29,1,28,8,30,1,28,3,6,1,9,1,11,1,16,1,17,1,11,1,16,1,11,3,16,1,11,1,16,1,11,3,9,1,16,6,17,1,16,1,11,1,16,2,11,2,16,1,11,4,17,6,16,1,17,2,11,1,16,2,17,1,11,2,16,1,11,1,17,1,16,2,11,1,16,2,17,1,11,1,16,3,11,1,16,2,17,1,9,1,11,1,16,2,17,1,16,2,17,2,16,1,17,1,11,6,9,2,11,2,9,1,11,1,9,2,8,1,9,5,11,3,9,2,11,1,16,1,11,8,9,1,16,1,11,1,16,7,17,2,16,1,17,14,16,1,17,25,16,1,17,11,16,1,8,2,6,1,7,1,6,1,7,1,29,1,6,1,29,1,6,3,28,1,6,1,29,1,6,1,30,1,6,1,29,1,7,1,30,1,6,3,29,1,6,1,8,1,29,1,13,1,6,1,30,1,29,1,6,1,7,1,13,1,8,2,24,1,9,1,10,1,8,2,17,1,10,1,17,1,12,1,11,1,17,1,12,1,11,1,12,2,9,1,8,1,13,1,6,2,29,1,28,1,30,1,28,244,29,1,30,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,29,1,6,1,30,2,6,2,28,1,6,1,13,1,10,1,29,1,8,1,28,3,30,1,28,4,29,1,6,1,30,2,7,1,13,1,6,1,13,1,10,1,13,2,8,2,9,1,13,1,24,1,10,1,9,2,17,1,9,1,12,1,10,1,11,1,10,1,12,1,17,1,11,1,16,1,9,1,13,1,9,2,13,1,8,1,13,1,9,3,16,1,9,1,11,1,9,4,13,1,8,1,9,1,6,1,13,1,8,1,13,1,9,1,13,2,9,1,13,2,9,3,13,1,8,1,9,3,16,1,8,2,9,1,11,1,9,4,8,1,9,1,13,1,9,1,13,2,11,1,13,1,9,2,11,2,9,1,13,1,16,1,9,2,11,1,9,1,16,1,9,4,11,1,9,1,11,1,9,2,13,1,9,1,11,1,6,1,16,1,11,2,9,1,10,1,11,2,9,1,8,1,9,1,8,1,9,1,11,2,9,2,11,1,9,1,16,2,17,1,16,1,11,1,16,1,9,2,11,1,9,1,13,4,9,4,13,2,9,2,11,1,13,1,9,1,13,1,9,1,13,1,8,1,9,2,10,1,9,2,11,1,13,1,9,4,11,3,9,3,11,1,9,1,11,1,9,3,8,1,9,2,11,1,9,3,11,1,16,1,10,1,11,1,9,1,11,1,9,1,10,1,9,8,8,1,13,1,8,1,9,11,10,1,9,7,8,1,9,6,11,2,9,1,10,1,9,1,13,1,11,4,16,1,9,1,11,2,9,1,13,1,9,1,11,3,9,2,11,1,9,1,8,1,9,1,10,1,11,1,13,2,11,1,9,2,13,1,9,2,8,1,9,3,10,1,9,1,11,1,9,4,8,1,9,1,11,1,9,5,11,2,16,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,10,1,8,1,16,1,9,1,16,1,11,3,9,1,16,2,11,1,16,1,17,1,16,1,11,1,16,2,9,1,16,1,11,1,9,1,16,2,11,1,16,2,11,1,16,1,9,1,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,9,1,16,2,17,1,16,2,17,1,16,5,11,3,16,1,11,1,16,1,9,3,13,1,9,2,13,1,9,1,13,6,33,1,13,1,33,1,13,1,33,86,5,438,28,31,30,1,6,1,28,1,6,1,28,23,13,1,9,7,10,1,9,1,10,1,9,1,8,1,9,3,11,1,9,8,8,1,13,1,9,3,8,1,9,1,13,1,10,1,13,1,8,1,10,1,8,2,9,4,11,1,9,1,11,1,9,1,10,1,9,2,8,1,9,2,8,1,17,1,11,1,28,28,30,1,28,1,29,1,6,1,28,18,11,1,7,1,13,1,9,1,8,1,9,1,13,2,30,1,29,1,28,1,30,1,28,1,30,1,28,17,5,36,13,1,28,1,6,1,30,1,13,6,6,2,13,9,9,1,8,1,9,1,11,1,9,1,13,5,28,1,6,2,13,1,30,1,13,1,6,1,30,1,6,1,30,3,28,7,30,2,6,2,13,1,28,1,30,1,6,2,30,1,28,4,6,1,30,2,28,1,30,1,28,1,30,2,6,1,13,2,30,1,6,1,28,7,30,1,28,1,30,1,6,1,13,1,28,1,30,2,28,1,30,1,6,1,13,2,30,1,13,4,6,2,30,1,5,70,33,6,9,2,13,2,7,2,13,3,6,1,13,2,6,2,13,1,6,7,28,1,29,2,30,1,28,1,30,1,28,2,29,1,30,1,29,2,28,1,6,1,30,1,6,1,28,1,30,3,6,1,28,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,7,1,29,3,6,1,29,1,6,1,7,1,6,4,13,1,6,1,7,1,6,1,7,2,13,2,6,1,13,1,6,1,7,1,13,2,6,1,13,5,9,1,13,1,6,1,33,3,5,46,13,1,6,1,28,1,30,1,5,169,28,12,13,1,14,1,17,1,16,1,9,1,13,1,8,1,7,1,6,1,28,1,30,1,28,1,8,1,9,1,10,1,11,1,17,2,30,1,28,5,30,1,17,2,7,1,6,1,29,1,6,2,30,1,28,25,16,1,17,1,16,1,9,1,7,1,6,1,28,1,11,1,24,1,13,2,30,1,28,4,30,1,8,1,10,1,11,1,13,1,}, {7,1,28,2,6,1,30,1,28,1,9,1,17,1,9,1,24,1,13,1,8,1,6,1,13,1,12,2,9,1,30,1,28,33,29,1,30,1,28,1,29,1,28,1,6,1,7,1,24,1,10,1,8,1,12,1,8,1,6,1,28,3,6,1,28,1,13,1,14,1,15,1,9,1,13,1,7,1,8,1,7,1,9,2,8,1,24,1,29,1,13,1,12,1,8,1,13,1,7,1,13,1,6,1,7,1,9,1,17,3,16,2,17,1,9,1,12,1,9,1,11,1,17,1,12,1,17,1,16,1,17,5,11,1,13,1,6,1,7,1,28,1,6,2,30,1,28,13,30,1,28,3,29,1,8,1,17,3,16,1,17,1,16,1,8,1,7,1,6,1,8,1,30,1,6,1,13,1,9,1,11,1,17,1,16,2,11,1,8,1,11,1,8,1,24,1,10,1,16,1,9,1,11,1,9,1,11,1,16,1,17,1,9,1,6,1,30,1,28,1,30,1,28,4,30,1,28,7,9,1,11,2,16,3,11,1,16,3,11,4,16,2,17,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,1,10,1,11,2,16,1,10,1,11,1,9,1,11,1,9,1,11,2,10,1,11,4,9,2,8,1,9,3,13,2,9,5,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,10,1,11,1,9,1,11,1,9,1,11,1,9,1,13,1,11,1,13,1,10,1,9,5,11,1,16,1,11,3,9,1,11,1,9,5,13,1,16,1,9,2,11,2,9,1,16,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,11,1,17,1,16,1,17,1,16,1,17,14,16,1,17,10,16,1,17,17,16,1,17,12,11,1,8,1,13,1,7,1,13,1,6,1,13,1,29,1,30,2,29,1,30,1,29,1,6,1,30,1,28,1,30,1,7,1,28,1,6,3,29,1,6,3,7,1,29,1,8,1,29,1,13,1,7,1,13,1,7,1,24,1,13,1,24,3,9,1,24,1,10,1,12,2,11,1,17,1,9,1,17,1,12,1,8,1,6,2,28,1,7,1,6,1,8,1,7,1,28,1,30,1,28,248,30,1,28,8,30,1,28,1,29,1,28,1,30,1,28,2,6,1,30,1,29,1,30,3,6,1,13,1,6,1,13,1,29,1,30,1,29,1,6,1,29,1,7,1,13,2,8,1,13,1,24,1,8,1,24,1,9,1,24,2,10,1,9,2,12,1,24,1,9,1,17,1,10,1,12,1,17,1,11,1,17,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,3,16,1,9,4,8,1,9,1,13,1,9,1,13,1,9,1,8,1,13,3,9,1,13,2,9,1,13,1,9,3,13,1,8,1,13,2,11,1,9,2,8,1,11,1,9,2,13,1,9,7,13,1,9,1,8,1,13,1,8,1,9,4,16,1,9,2,11,1,13,1,11,1,9,2,11,2,9,1,8,1,9,1,13,1,9,2,11,1,13,1,9,1,8,1,13,1,9,1,13,1,11,1,16,1,13,1,8,1,9,3,16,1,9,1,11,1,16,1,9,1,11,2,16,1,17,2,16,1,17,1,8,1,11,2,9,2,13,1,9,5,8,1,9,1,11,1,9,1,13,1,9,3,13,1,9,1,13,1,9,2,8,1,9,1,11,1,13,1,11,1,9,1,8,1,9,2,11,1,16,1,8,1,9,1,13,1,9,2,8,1,9,2,10,1,9,5,16,1,9,1,16,1,9,2,10,1,9,1,16,1,9,3,10,1,9,1,8,1,13,1,11,1,8,1,9,7,13,1,9,2,8,1,9,6,16,1,9,1,11,1,9,3,16,1,9,8,10,1,9,3,11,1,9,2,11,1,9,2,16,1,9,1,16,1,9,1,16,1,11,1,9,1,11,3,9,1,16,1,11,1,9,1,10,1,9,2,8,1,10,1,9,2,11,1,13,1,11,1,9,2,8,1,9,1,11,1,13,1,9,1,11,1,13,1,11,1,9,1,10,1,9,5,13,1,9,4,8,1,11,1,9,1,11,1,9,2,16,1,9,4,11,1,9,1,11,1,13,1,16,1,10,1,8,1,9,1,11,3,16,1,11,1,16,5,11,4,16,1,11,1,9,1,16,2,9,1,16,1,11,1,16,1,11,2,16,1,11,3,16,6,17,1,16,1,11,1,16,8,11,6,16,1,9,1,11,2,9,3,13,4,9,1,13,4,30,1,6,1,13,1,30,1,13,2,33,82,5,438,33,1,9,1,13,1,28,27,6,1,28,1,29,1,28,24,13,1,9,3,10,1,9,2,11,1,9,3,8,1,9,2,10,1,9,8,8,1,9,1,8,1,9,1,8,2,9,1,10,1,9,7,11,1,9,1,11,2,9,2,11,1,9,5,13,1,10,1,8,1,16,1,17,1,28,55,13,1,8,1,7,1,13,2,28,20,33,1,5,38,33,2,13,1,30,1,13,6,6,1,13,3,6,1,13,1,30,1,13,3,9,1,13,3,9,1,6,1,13,3,6,2,13,1,6,1,28,1,6,2,30,1,13,1,6,1,30,2,28,7,29,1,28,1,30,1,6,1,28,2,29,1,30,3,6,2,28,4,6,1,9,1,13,1,30,1,6,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,6,1,30,2,28,3,13,1,28,2,6,1,30,3,6,1,30,1,28,3,6,1,13,1,9,2,13,1,6,1,30,1,13,1,30,1,5,69,33,7,5,1,13,3,7,1,13,4,7,1,13,1,8,1,6,1,7,1,6,2,7,1,29,1,7,1,29,2,28,1,6,1,29,2,30,1,29,2,28,2,30,1,29,1,28,1,30,1,28,3,30,2,28,1,6,1,30,1,29,2,28,1,6,2,30,1,29,1,30,1,29,2,6,1,30,1,6,1,29,2,28,1,6,3,29,1,6,1,13,1,6,5,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,8,1,13,4,9,2,28,1,33,5,5,45,33,3,5,168,13,1,28,11,13,1,17,1,16,1,9,1,10,1,8,1,13,1,6,1,28,1,30,2,29,1,7,1,9,1,15,1,17,2,12,1,6,1,28,6,17,2,8,1,30,1,6,1,30,1,29,1,6,1,28,25,11,1,17,2,9,1,13,1,6,1,28,1,9,1,8,1,13,1,6,1,30,1,28,4,6,1,13,1,8,1,12,1,8,1,}, {30,2,6,1,29,1,28,1,29,1,9,2,11,1,13,1,7,1,13,1,29,1,13,1,11,1,17,1,24,1,6,1,28,35,30,1,28,2,6,1,13,1,7,1,13,1,9,1,17,1,24,1,30,1,28,1,30,1,28,1,30,1,29,1,6,1,15,1,11,1,8,2,13,1,9,1,13,1,8,1,13,1,24,1,8,1,6,1,7,1,12,1,10,1,8,1,7,3,30,1,13,1,17,6,11,1,9,1,10,1,12,1,17,1,12,1,11,1,17,6,16,1,8,1,6,1,30,1,28,18,29,1,28,2,6,1,8,1,17,2,16,1,11,1,16,1,17,1,8,1,30,1,13,2,28,1,13,1,29,1,8,1,16,1,17,1,16,1,10,1,11,1,8,2,9,2,13,1,12,1,9,1,11,1,9,3,17,1,10,1,13,1,30,1,28,14,13,1,11,3,16,1,11,1,16,1,11,2,16,5,11,3,16,1,11,1,16,2,11,1,9,1,16,1,9,1,11,1,17,1,11,1,16,2,11,3,16,2,11,3,16,1,9,4,11,2,9,1,11,1,9,1,13,2,9,1,13,1,9,3,11,2,13,1,16,1,9,2,11,1,9,3,8,1,11,1,8,1,9,1,8,1,11,1,9,1,11,1,9,1,10,1,9,4,11,1,10,1,9,1,11,1,9,1,10,2,16,1,9,2,11,1,9,1,11,1,16,1,9,2,16,1,9,1,16,2,10,1,11,1,9,1,11,1,10,1,9,1,16,1,9,1,11,1,10,1,9,1,16,1,11,1,17,1,9,1,16,1,17,1,16,1,11,1,16,2,17,1,16,1,17,2,16,3,17,7,16,1,17,8,16,1,17,36,12,1,10,1,6,1,8,1,7,1,30,1,29,1,6,1,29,1,30,2,28,1,6,1,29,1,6,2,29,1,7,1,30,1,7,2,13,1,6,1,30,1,13,2,7,1,13,1,8,1,13,2,24,1,10,1,13,1,24,2,12,1,9,1,12,1,17,1,12,1,17,1,12,1,17,1,8,2,6,2,7,4,30,1,28,202,30,1,28,75,6,1,28,2,13,1,7,1,6,1,8,7,24,1,8,1,10,1,9,2,8,1,9,2,24,2,9,1,17,1,11,1,16,1,11,1,13,2,8,1,9,1,13,2,9,1,13,1,9,1,13,1,16,1,11,1,16,1,9,5,13,3,9,1,13,1,9,1,13,2,6,2,9,1,13,1,9,2,13,4,9,1,11,1,8,1,11,1,9,2,13,1,9,2,11,1,9,1,11,1,7,1,16,1,13,1,9,4,8,1,9,1,16,1,9,3,16,1,8,1,9,1,16,1,9,2,16,2,9,1,11,1,8,1,9,3,16,1,11,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,10,1,13,2,8,1,9,2,13,1,8,1,10,1,13,1,16,1,11,1,13,1,9,2,11,1,10,1,9,2,16,1,13,1,9,1,11,2,9,1,13,1,9,1,8,1,9,4,8,1,13,1,9,2,11,1,9,1,8,1,9,2,13,1,9,1,11,1,8,1,9,3,11,1,13,1,9,2,16,1,9,1,13,1,9,4,16,1,9,1,16,1,9,3,11,1,9,1,11,3,9,1,16,1,13,1,11,2,9,3,16,1,10,1,9,3,10,1,8,1,9,4,13,1,11,1,9,1,8,1,13,1,11,1,8,1,9,2,13,1,9,2,13,1,9,3,8,1,9,3,11,1,9,1,11,1,9,1,10,1,11,1,9,3,10,1,9,1,10,1,11,1,9,1,11,1,9,2,11,2,10,1,16,1,10,1,9,4,11,1,9,2,16,1,9,1,11,1,9,5,13,1,9,4,13,1,11,1,9,1,13,1,9,4,11,1,9,2,13,1,9,1,8,1,9,2,13,1,9,4,13,1,9,3,13,1,9,1,11,1,9,10,11,1,9,2,11,1,9,1,11,1,9,2,16,5,11,1,16,1,11,1,16,1,11,1,16,4,11,1,9,1,11,1,16,2,11,3,16,1,9,1,16,1,11,2,16,1,11,1,16,2,17,1,16,4,17,2,16,5,17,1,16,1,9,4,11,2,9,1,8,1,9,1,13,1,9,2,13,2,6,1,13,5,6,1,13,1,6,1,13,2,6,1,30,1,6,1,13,2,33,78,5,440,6,1,28,27,30,2,28,1,30,1,28,23,29,1,9,2,11,1,9,1,10,1,11,1,10,1,9,7,8,1,10,1,9,3,13,1,9,4,8,1,9,2,8,1,9,4,8,1,9,8,10,1,9,7,13,2,9,1,17,1,28,7,5,1,33,4,28,51,6,1,13,2,30,1,28,2,30,1,28,8,33,2,5,43,33,1,13,1,33,1,13,1,6,2,28,1,13,1,28,1,13,1,6,1,13,2,6,1,13,8,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,3,30,1,6,1,30,1,28,1,6,2,30,2,28,1,30,1,28,3,6,2,28,4,30,1,28,2,30,1,28,1,30,1,28,6,30,7,28,1,30,1,6,1,28,1,30,2,6,1,28,5,30,2,28,2,30,3,28,2,13,2,30,1,13,1,6,2,13,1,30,1,28,1,33,1,5,68,33,7,9,1,13,3,8,2,6,1,13,1,6,1,13,1,29,1,6,1,8,1,6,6,29,2,30,2,6,4,29,1,30,3,28,1,30,1,6,1,30,1,28,1,30,1,29,1,30,2,28,1,30,3,28,1,30,2,6,1,29,1,30,1,29,2,7,1,6,2,29,2,28,1,6,4,13,1,7,1,13,1,6,2,13,1,6,1,13,1,7,1,6,2,8,1,13,9,9,1,13,2,33,5,5,46,33,2,5,167,30,1,28,10,30,1,9,1,14,1,17,1,11,1,9,1,13,1,8,1,13,1,6,1,29,1,6,1,7,1,13,1,9,1,13,1,12,1,17,1,9,1,30,1,28,5,29,1,11,1,17,1,13,1,6,1,29,1,6,3,28,25,16,1,14,1,11,1,9,1,24,1,6,2,11,1,24,1,13,1,6,1,30,1,28,3,30,1,28,1,13,1,8,2,24,1,}, {30,1,29,2,28,1,30,1,6,1,12,1,17,1,9,1,8,1,13,1,8,1,7,1,13,1,11,1,17,1,24,1,6,1,28,34,30,2,28,2,6,1,8,1,13,1,24,2,17,1,9,1,29,1,28,2,30,3,7,1,10,1,15,1,8,1,13,1,7,1,8,1,29,1,24,1,12,1,9,1,8,1,28,1,13,1,9,2,8,1,13,1,29,2,6,1,8,1,9,1,17,4,12,2,10,1,9,1,11,1,12,1,17,9,13,1,6,2,28,2,30,2,28,12,30,2,28,2,30,2,13,1,11,1,12,1,17,4,12,1,6,2,13,1,6,2,13,1,9,1,12,1,17,1,11,1,9,1,12,1,8,1,13,1,24,1,9,1,8,1,9,2,17,1,9,1,10,1,16,1,17,1,16,1,29,2,6,1,29,1,28,12,13,1,11,3,16,1,11,1,16,10,9,1,11,1,10,1,16,2,11,1,16,3,17,1,16,1,11,3,16,1,11,1,16,1,11,2,16,3,11,2,16,1,11,6,9,1,11,1,16,1,11,3,16,1,11,3,10,1,16,1,11,1,9,2,16,1,11,1,9,2,11,2,9,1,11,2,9,1,11,2,16,1,9,1,11,2,10,1,11,1,9,1,11,2,10,1,11,1,10,1,11,2,16,1,11,1,10,1,9,2,16,1,11,3,9,1,16,1,11,3,9,1,11,2,9,2,11,1,10,1,9,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,17,2,16,1,17,55,16,1,11,1,8,1,24,1,8,1,13,3,6,2,30,3,28,2,30,1,6,1,30,1,6,1,7,1,13,1,7,1,6,1,8,1,13,1,9,1,24,1,13,2,7,1,13,1,24,1,9,1,8,1,10,3,12,3,17,1,12,2,13,4,29,1,8,1,6,1,7,1,28,5,30,2,28,280,29,1,7,1,24,1,13,1,8,4,9,1,8,2,24,1,8,2,9,3,12,1,11,1,9,1,10,1,9,2,13,1,8,1,13,3,9,1,13,1,9,2,11,1,9,3,8,1,9,5,13,1,9,2,13,1,9,1,13,2,9,1,13,1,9,1,13,2,11,1,13,2,9,8,11,1,9,6,11,1,9,1,11,1,9,1,16,1,9,2,13,1,11,1,9,3,11,3,16,1,13,1,11,2,8,1,11,1,9,1,16,1,9,1,11,1,9,1,8,1,13,1,11,1,13,1,9,1,13,1,7,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,10,1,9,1,16,1,9,2,11,2,9,2,16,1,8,1,13,2,8,1,9,2,8,1,9,1,8,2,13,1,9,1,8,1,9,2,11,2,9,1,8,1,9,4,10,1,9,3,11,1,9,2,11,1,9,2,11,1,8,1,9,4,11,1,17,1,13,1,16,1,10,1,9,1,11,1,9,1,11,1,9,1,16,1,9,2,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,11,2,8,1,9,8,13,1,9,9,10,1,9,3,10,1,9,1,11,1,13,1,9,1,11,1,9,1,10,1,9,4,11,1,9,2,16,1,9,2,10,1,9,2,16,1,9,1,11,7,9,1,11,1,9,1,13,1,8,1,9,2,13,1,11,2,9,1,13,1,9,5,11,1,9,1,11,1,9,7,8,1,11,1,9,1,13,2,9,1,13,1,9,4,8,1,9,2,13,1,9,4,11,1,9,1,11,2,9,1,11,1,9,1,11,2,16,1,9,1,16,1,11,2,16,1,11,1,17,1,16,4,11,4,16,3,11,1,9,1,11,1,16,1,11,1,16,7,10,1,11,1,16,6,11,1,16,2,11,1,17,1,16,3,17,2,11,2,16,1,9,1,11,2,16,2,9,2,13,4,9,1,13,6,7,1,13,1,7,1,13,3,6,1,28,1,30,1,6,1,33,78,5,439,6,1,28,28,30,1,29,1,30,1,28,24,8,1,9,1,11,1,9,3,11,1,9,5,8,1,9,4,8,1,9,1,8,2,9,1,8,1,9,1,8,1,9,2,13,1,8,1,9,3,10,1,9,2,11,1,8,1,11,1,9,1,10,3,9,1,11,1,9,1,11,1,9,3,13,1,9,1,12,1,13,1,28,4,5,122,33,1,13,2,6,1,30,1,13,1,6,2,13,3,6,1,13,3,6,2,13,1,6,2,30,1,13,2,9,1,13,4,30,2,13,1,9,1,13,2,6,1,13,2,28,1,30,1,6,1,28,1,30,1,6,2,28,1,6,1,30,1,28,1,6,3,30,1,28,2,30,3,28,4,30,2,28,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,6,1,28,1,30,1,28,6,30,1,28,3,30,1,28,1,30,1,6,1,9,1,13,3,28,4,33,1,5,68,33,7,9,1,13,1,6,1,8,1,13,3,6,1,8,1,7,1,6,1,29,1,7,2,6,3,29,1,6,1,7,1,6,1,28,1,30,3,29,1,30,2,29,2,30,1,28,2,30,1,29,1,30,2,28,1,29,1,30,1,6,1,29,1,28,1,30,1,28,3,30,2,29,1,30,1,29,1,6,1,29,1,28,1,7,1,6,1,30,2,6,1,13,1,6,1,13,1,7,3,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,9,8,1,9,1,13,1,28,1,33,3,5,215,6,1,28,11,13,1,17,1,16,2,11,1,13,1,8,1,6,1,7,1,30,1,6,1,29,1,8,1,9,2,17,2,11,1,28,6,30,1,14,1,10,1,8,1,6,1,29,1,6,1,13,1,29,1,28,25,14,2,16,1,9,1,8,1,29,1,13,1,9,1,24,1,8,1,6,1,30,1,28,4,29,1,13,1,9,1,10,1,13,1,}, {29,1,28,1,30,1,29,1,30,1,6,1,8,1,17,1,11,1,9,1,6,1,29,1,24,1,6,1,12,1,17,1,9,1,7,1,28,36,30,1,28,1,6,1,13,2,10,1,9,1,17,1,9,1,6,1,30,3,28,1,30,1,6,1,12,1,9,1,24,1,8,1,6,1,7,2,9,1,8,3,6,1,24,2,9,1,7,1,6,2,7,1,28,1,13,1,17,1,12,1,17,1,16,2,11,1,12,1,9,1,13,1,11,1,12,1,17,9,13,2,6,1,30,1,28,1,30,2,28,1,30,1,28,11,30,1,28,4,24,1,12,1,10,1,17,4,8,1,6,1,7,1,13,1,7,1,30,1,13,1,24,1,11,1,17,1,9,1,11,1,9,1,8,1,13,1,8,1,9,2,12,1,9,4,17,2,16,1,29,1,30,1,28,1,6,1,28,12,13,1,9,1,11,1,17,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,2,16,9,11,1,16,2,11,1,17,1,16,5,9,1,16,2,11,1,16,7,11,1,16,1,11,1,16,1,11,4,16,1,9,1,11,1,9,1,13,1,11,3,9,1,10,1,9,1,10,1,9,2,11,1,9,2,11,1,9,4,11,1,10,1,9,4,11,2,9,1,11,1,10,1,11,3,16,1,11,2,9,1,11,1,9,4,11,2,9,2,11,1,10,2,16,1,11,1,16,3,17,1,11,1,17,1,16,1,17,2,16,1,17,14,16,1,17,11,16,1,17,31,11,1,9,1,8,1,13,3,6,2,29,1,7,1,13,1,7,1,29,1,6,1,29,1,13,1,6,2,8,2,13,1,6,1,8,1,24,1,8,1,24,1,13,1,8,3,9,1,12,1,9,1,12,1,10,1,12,1,8,1,10,1,8,2,7,1,8,1,6,1,8,1,28,1,6,1,28,293,29,1,13,1,24,1,8,3,9,1,8,1,9,2,8,1,9,1,12,2,11,1,9,2,8,1,9,1,13,1,8,1,13,1,9,3,13,1,9,1,8,1,9,5,13,1,9,2,13,3,9,2,11,1,13,1,9,2,13,3,9,1,13,1,9,2,8,1,13,2,11,1,9,2,13,1,11,1,13,1,9,2,16,1,8,1,9,3,11,1,13,1,9,3,13,1,9,1,13,1,8,1,9,4,13,1,16,1,11,1,9,2,11,1,9,3,16,1,9,3,11,1,9,1,11,1,9,1,10,1,9,1,8,1,9,1,8,2,9,1,13,1,9,1,8,1,13,1,16,1,9,1,11,1,29,1,16,1,8,1,13,1,10,1,9,3,11,2,9,2,11,1,13,1,8,1,13,1,9,1,8,1,9,3,8,1,9,3,8,1,11,2,9,1,13,1,9,4,11,1,9,1,16,1,11,2,9,2,16,1,9,3,8,1,11,1,9,1,10,1,16,1,9,1,11,1,9,1,11,2,9,1,11,2,9,1,10,1,9,1,11,2,13,1,9,1,10,1,9,1,11,1,9,3,11,2,10,1,9,1,10,1,9,7,10,1,9,2,11,1,9,1,11,1,9,1,13,1,9,1,13,1,9,2,8,1,9,1,8,1,10,1,9,1,13,1,9,2,11,1,9,3,11,2,9,10,16,1,9,1,11,1,9,1,10,2,16,1,9,1,11,1,16,1,9,2,11,2,9,1,11,1,9,2,10,1,9,1,11,3,9,3,13,1,9,1,11,1,9,2,16,1,13,1,9,1,8,1,9,9,8,1,9,2,13,2,9,3,11,1,13,1,9,3,13,1,9,1,13,1,10,1,9,5,11,2,9,1,11,1,9,1,11,5,9,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,3,16,1,9,1,16,1,11,1,16,4,11,1,16,8,11,1,16,3,17,1,16,2,11,1,16,3,11,1,16,1,11,2,16,1,9,1,16,1,9,1,11,1,13,2,6,1,13,2,6,1,13,1,6,1,13,1,7,1,13,8,30,1,6,1,13,1,6,2,33,78,5,438,13,1,28,2,30,1,6,1,28,22,30,1,28,2,30,1,28,26,6,1,9,3,10,1,9,1,11,1,9,2,10,1,9,4,8,2,9,1,8,3,9,1,13,1,8,1,9,3,8,1,9,6,11,1,9,3,11,2,9,1,11,1,10,1,11,1,10,2,9,2,8,2,12,1,11,1,28,3,5,126,33,3,30,1,6,1,13,11,6,2,13,1,30,1,6,1,13,5,30,1,6,1,30,1,6,2,13,1,6,1,13,3,9,1,13,3,28,3,30,1,28,1,30,1,6,1,28,2,30,3,6,1,30,4,28,6,6,1,29,1,6,1,28,1,30,1,28,1,6,2,28,8,30,1,28,1,30,2,28,2,6,1,30,1,13,1,28,1,30,1,28,6,33,1,5,68,33,7,9,1,13,4,6,1,13,3,6,1,7,1,6,1,29,1,7,1,6,1,13,1,6,1,13,1,6,1,30,1,6,1,30,1,6,3,7,1,28,2,29,1,30,1,29,1,30,3,28,1,30,3,28,1,6,1,28,1,29,1,28,1,30,3,28,3,29,1,30,3,29,1,6,2,7,1,6,1,13,1,28,1,6,1,13,1,6,2,13,3,6,1,13,1,8,1,13,3,8,1,6,1,13,3,6,1,13,4,8,1,9,2,13,1,28,1,33,2,5,214,13,1,28,11,8,1,17,2,11,1,9,2,8,1,7,1,30,2,28,2,12,1,8,1,11,1,17,2,12,1,30,1,28,5,29,1,17,2,13,1,29,1,30,1,6,1,30,1,29,1,30,1,28,24,14,2,16,1,9,1,8,1,28,1,8,1,9,1,8,1,24,1,6,1,30,1,28,3,6,1,30,1,13,1,12,1,9,1,7,1,}, {28,1,6,1,30,2,28,1,30,1,24,1,17,2,13,3,8,2,12,1,17,1,9,1,8,1,28,38,13,1,6,1,10,1,8,2,17,1,12,1,13,1,28,1,30,1,28,1,29,3,12,1,10,1,24,1,8,1,13,3,7,1,24,2,7,1,29,1,13,1,9,1,24,1,13,2,6,1,29,1,30,1,9,2,17,2,16,1,12,1,16,1,8,1,9,1,13,2,17,9,16,1,8,1,13,1,30,2,28,1,6,2,30,1,28,1,29,1,28,5,30,1,28,6,30,1,28,1,30,1,13,1,24,1,17,5,9,1,8,1,6,3,29,1,6,1,9,1,11,1,17,1,9,1,11,1,9,1,24,2,9,1,8,2,9,2,12,1,11,1,12,1,9,1,17,2,6,2,28,3,30,1,28,5,30,1,28,4,13,1,10,1,11,4,16,2,17,1,16,4,11,1,16,3,9,1,17,1,11,3,17,1,16,1,11,1,16,2,11,1,16,2,11,1,16,1,11,1,16,2,17,1,16,8,17,1,16,2,17,1,16,2,17,1,11,1,16,2,17,1,16,4,10,1,16,1,11,2,9,1,11,1,9,1,10,1,11,1,9,1,10,2,11,1,16,1,9,1,11,1,9,2,11,1,9,2,10,1,11,2,9,2,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,10,1,11,1,9,1,16,2,11,1,9,1,11,5,16,1,10,1,16,4,11,2,16,3,11,1,17,2,16,1,17,2,16,1,17,55,16,1,17,3,11,2,8,1,13,1,8,1,6,1,7,1,8,1,6,2,13,2,6,1,7,1,29,1,6,1,8,1,13,2,24,1,13,2,9,1,24,1,9,3,10,1,9,2,10,1,8,1,24,1,13,1,8,1,13,1,24,1,7,1,6,1,13,1,6,2,30,1,29,1,30,1,28,296,30,1,7,1,30,1,13,1,6,1,10,1,8,1,24,1,8,2,17,1,16,1,11,1,16,1,13,1,9,1,13,2,9,5,11,1,9,3,13,4,9,1,8,1,13,4,9,1,13,1,9,1,13,3,9,1,11,1,13,1,9,1,13,1,8,1,9,1,11,1,13,1,11,1,16,1,9,7,13,1,9,2,8,1,9,4,8,1,9,1,8,1,9,1,6,1,9,2,8,1,9,1,8,1,9,1,13,1,10,1,9,7,16,1,11,2,9,1,11,1,13,1,9,1,13,1,9,9,11,1,13,1,10,1,9,2,13,2,11,1,10,1,8,2,9,1,16,1,9,1,16,1,9,1,16,1,13,1,8,1,13,1,9,1,13,1,9,1,13,2,9,1,8,1,9,2,13,1,16,1,8,1,13,1,9,5,13,1,11,1,9,2,11,1,9,1,11,1,9,2,16,1,9,2,11,2,13,1,9,1,11,1,16,1,9,1,11,1,9,1,16,1,11,2,8,1,11,3,10,2,9,1,11,2,9,4,16,1,9,2,16,1,9,1,13,1,9,2,13,1,8,1,9,1,11,1,9,14,13,1,9,3,11,1,9,7,13,1,9,1,11,1,9,6,11,1,9,1,11,2,9,1,11,1,16,1,9,3,11,1,10,1,11,1,9,3,8,1,9,3,11,2,9,1,11,1,9,5,11,1,9,3,11,1,9,12,8,1,9,5,11,1,9,2,13,1,11,1,9,2,8,1,9,3,11,1,9,3,11,2,9,1,10,1,9,2,16,1,9,1,11,3,9,3,11,1,16,6,9,1,16,1,9,1,11,1,16,2,11,1,16,2,11,1,16,4,11,2,16,2,11,1,16,11,11,2,16,2,11,1,16,1,11,1,9,3,13,1,9,1,13,3,30,2,6,1,13,2,9,1,13,5,8,1,13,3,6,1,33,78,5,438,28,3,30,1,13,1,28,52,13,1,11,1,9,2,10,1,11,2,9,3,11,1,13,1,9,1,8,1,9,1,8,1,13,1,9,2,13,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,6,10,1,11,1,9,2,10,2,11,2,10,1,9,1,10,1,9,2,8,1,9,2,11,1,28,2,13,1,5,131,13,1,30,2,6,3,13,2,30,2,28,1,13,1,28,1,13,2,6,1,30,1,6,1,13,1,9,1,13,6,8,1,6,1,13,2,9,1,6,1,8,1,6,3,13,2,28,1,6,2,28,1,30,1,28,2,6,1,28,2,30,1,28,3,30,3,6,1,28,1,29,1,28,1,6,2,30,1,6,1,30,1,6,1,30,1,13,1,30,1,6,1,28,8,30,1,28,3,30,1,6,1,13,1,6,1,28,5,30,1,6,1,13,1,5,67,33,7,5,1,9,1,13,1,7,1,13,1,7,1,13,1,7,1,13,1,7,1,6,1,13,1,7,1,13,1,6,2,7,1,13,1,30,1,7,1,29,1,6,1,7,1,6,1,29,3,30,1,6,1,28,2,30,1,6,1,30,4,29,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,29,1,6,2,7,1,30,1,29,1,6,1,7,1,30,1,7,1,6,1,29,1,6,1,7,5,6,1,13,1,8,1,13,1,7,2,13,8,8,1,13,1,8,1,13,1,8,1,9,1,11,1,30,1,28,1,33,2,5,212,13,1,28,10,30,1,9,1,17,1,12,1,16,1,11,1,10,1,13,1,6,1,28,1,30,1,28,1,30,1,9,4,17,1,9,1,30,1,28,5,6,1,17,2,6,1,30,1,28,1,29,2,13,1,28,25,14,2,17,1,9,2,28,1,13,1,9,2,8,1,13,2,28,3,6,1,13,1,8,1,12,1,10,1,9,1,}, {30,1,28,1,6,1,28,1,29,1,6,1,9,1,12,1,11,2,24,1,8,2,13,1,9,1,17,1,10,1,7,1,28,29,30,1,28,5,29,1,28,2,29,1,30,1,24,1,13,1,8,1,17,1,9,1,6,3,28,1,29,1,28,1,6,1,9,1,17,1,15,1,9,1,6,2,29,1,8,4,28,1,8,1,10,1,8,2,13,1,6,3,24,1,17,2,11,1,17,1,16,1,10,1,11,1,8,1,13,1,10,1,11,1,17,1,9,1,17,6,10,1,8,1,13,1,30,1,6,1,28,1,30,3,28,3,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,2,13,1,11,1,17,5,10,1,13,2,6,1,13,1,6,2,10,1,16,1,17,1,12,1,9,1,8,1,24,1,13,2,8,2,15,2,10,1,9,2,12,1,11,2,7,1,30,1,28,14,13,1,11,3,16,2,11,2,16,2,17,1,16,3,17,1,16,5,17,1,16,1,11,2,16,1,11,2,16,3,11,1,16,7,17,3,11,1,16,2,17,1,11,1,16,2,17,1,16,1,11,1,16,2,11,2,16,1,17,1,11,2,16,1,10,1,11,5,16,1,11,1,9,1,11,1,9,1,11,2,9,1,11,2,16,1,11,4,16,1,9,1,11,1,10,1,16,1,9,1,10,1,11,1,16,2,11,1,9,1,11,1,9,2,16,1,11,1,9,1,11,1,16,4,11,3,16,3,11,1,10,1,11,3,17,1,16,4,17,1,16,1,17,63,16,1,9,4,8,1,13,2,8,1,13,1,7,1,8,2,9,2,8,1,9,1,8,1,10,1,9,1,12,1,24,1,9,1,10,1,9,1,8,1,24,2,8,3,13,1,8,1,13,1,6,1,13,2,6,1,28,1,30,2,28,7,30,1,28,296,30,1,8,3,17,1,10,1,12,1,10,1,8,1,9,1,13,2,9,5,8,1,9,1,11,1,9,4,13,1,11,1,13,3,8,1,9,4,13,2,9,1,11,1,13,1,9,1,11,1,9,1,8,1,13,1,9,2,11,1,9,1,13,2,9,1,11,1,13,1,16,1,11,2,13,1,9,1,13,1,9,1,8,1,9,2,11,1,9,2,13,1,9,1,13,1,9,6,11,1,8,1,9,2,16,1,8,1,13,1,9,4,10,1,9,2,8,1,9,1,13,1,11,1,13,1,9,5,16,1,11,1,9,2,11,3,16,1,11,1,17,1,11,3,10,1,16,1,9,1,16,2,9,3,8,1,9,1,13,1,8,1,13,1,8,1,13,4,9,1,13,3,8,1,11,1,8,1,9,1,13,1,11,1,9,2,11,1,9,1,11,1,16,1,11,3,16,1,10,1,9,2,11,1,9,3,10,1,9,1,10,1,11,1,10,1,11,5,9,2,11,1,9,2,16,1,9,3,11,1,9,1,8,1,11,1,9,2,8,1,11,1,9,1,11,2,9,1,8,1,9,2,8,2,11,1,9,1,11,1,8,1,9,9,8,1,10,1,9,1,13,2,11,1,9,2,11,1,9,2,11,1,9,1,11,3,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,3,9,1,11,1,13,1,9,2,11,2,9,5,11,1,9,11,11,1,9,1,10,1,16,1,13,1,9,3,8,1,13,2,9,3,13,1,9,1,8,1,9,1,13,1,9,1,13,2,8,1,9,3,11,1,9,6,11,2,9,4,11,4,16,2,9,2,11,1,16,1,11,2,16,1,11,2,16,3,11,1,16,4,11,2,16,1,11,1,16,3,9,1,16,4,17,1,16,5,11,1,16,1,17,1,16,2,11,4,16,1,11,1,9,2,13,1,9,1,13,3,30,1,13,3,6,3,9,1,13,8,30,1,13,1,33,77,5,437,13,1,28,3,13,1,28,54,13,1,8,1,10,1,9,2,10,1,8,1,11,1,9,3,8,1,13,1,9,2,13,1,9,2,13,1,9,2,8,1,13,1,8,1,9,2,8,1,9,2,11,1,9,2,11,1,10,1,16,1,9,1,11,4,9,1,11,1,9,2,11,1,9,1,8,1,17,1,30,1,28,1,5,134,33,1,6,1,30,2,6,2,28,1,30,1,28,2,30,1,28,1,6,1,30,1,13,1,6,1,30,1,13,1,6,1,13,1,30,1,13,4,8,1,13,2,9,1,6,1,13,5,6,2,13,1,30,1,28,1,30,1,28,1,6,1,30,1,6,2,28,1,13,1,28,2,30,1,28,4,6,1,28,2,30,2,6,5,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,6,30,1,13,1,28,3,30,1,28,2,13,2,6,2,5,68,33,6,5,1,9,1,6,1,8,1,7,1,13,1,6,1,13,2,6,3,13,1,7,3,6,1,7,1,29,1,6,1,7,1,6,3,29,1,6,1,30,1,6,1,30,2,28,1,29,1,28,1,30,1,28,1,29,1,30,1,29,1,28,2,29,1,28,6,30,1,6,1,30,2,29,1,28,1,29,1,30,1,29,1,6,1,29,1,7,1,29,1,6,1,7,1,6,1,7,2,13,2,7,1,13,1,8,1,7,1,13,3,6,1,8,1,13,3,8,1,13,1,7,1,8,1,13,3,9,2,13,1,28,2,33,1,5,211,6,1,28,11,12,1,16,1,17,1,12,1,10,1,9,1,13,1,6,2,30,2,7,1,8,1,9,3,17,1,13,1,28,6,6,1,17,2,28,1,13,1,7,3,29,1,28,24,29,1,16,1,14,1,16,1,24,1,8,1,6,2,10,1,9,1,8,1,13,1,7,1,30,1,28,2,30,1,13,1,7,1,9,1,12,1,13,1,}, {30,1,28,2,30,3,7,1,17,3,12,1,13,2,8,1,24,1,12,2,6,1,28,32,30,1,28,3,30,2,6,2,13,1,8,2,17,2,7,1,28,1,29,1,30,1,28,1,30,1,29,1,9,2,10,1,24,2,13,1,6,1,8,1,9,1,8,2,30,1,6,1,14,1,8,1,13,1,29,1,6,2,30,1,9,1,17,3,10,1,9,2,12,1,13,2,9,1,11,1,17,1,11,1,17,6,12,1,8,1,7,1,6,1,30,2,28,1,30,1,28,2,30,1,28,11,30,1,28,2,30,1,13,1,12,1,17,5,9,1,6,1,8,1,13,1,6,1,13,1,7,1,8,1,9,1,12,1,17,1,10,1,9,1,8,1,9,1,24,1,11,1,9,1,24,1,9,1,10,1,24,1,9,1,17,3,6,1,28,3,30,1,28,1,30,1,28,9,13,1,11,1,16,1,9,1,11,3,16,1,11,2,16,4,11,1,16,1,11,1,16,3,11,1,10,1,11,1,16,4,17,2,16,7,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,11,11,2,10,1,11,2,9,1,11,1,9,3,11,1,16,2,9,1,16,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,11,2,9,1,10,1,11,1,10,1,9,1,11,1,16,1,13,1,16,1,10,1,16,1,11,3,16,3,11,2,16,2,11,3,16,3,11,1,9,1,17,1,16,2,17,1,16,1,17,1,16,1,17,2,16,2,17,7,16,1,17,1,16,1,17,18,16,1,17,35,11,1,9,2,8,2,6,1,13,1,8,5,24,2,8,1,24,3,12,1,8,1,9,1,17,1,9,1,8,1,7,1,13,2,8,2,6,1,13,1,6,1,8,1,30,1,13,1,29,1,30,1,28,10,6,1,28,298,30,1,6,1,13,1,8,2,9,1,8,2,13,1,9,1,13,1,8,1,9,5,11,1,9,14,13,1,9,2,8,1,11,1,8,1,9,1,11,1,13,1,9,2,8,1,9,2,13,1,9,1,8,1,11,1,9,2,13,2,8,3,9,1,11,1,13,1,8,1,13,1,11,1,13,1,9,2,16,1,9,1,13,1,9,3,10,1,11,1,9,1,13,1,16,1,9,3,16,1,11,1,10,1,9,4,13,1,11,1,8,1,9,1,8,1,11,3,10,1,9,1,16,1,11,2,16,1,9,1,11,1,13,1,17,1,11,1,16,1,11,2,9,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,11,1,13,2,8,1,9,2,13,1,7,1,13,3,8,1,13,1,8,1,9,2,10,1,9,2,13,1,9,3,11,1,13,1,11,2,9,4,11,2,10,1,9,2,8,1,11,1,9,1,11,4,16,2,9,1,11,1,16,1,11,1,9,1,10,1,11,1,9,2,11,1,9,1,10,1,9,1,11,1,9,2,8,2,9,3,11,1,8,1,11,1,9,2,8,1,11,1,9,2,13,1,16,1,9,3,8,1,9,5,11,1,9,1,10,1,9,1,11,1,9,3,8,1,9,1,11,1,9,3,11,1,9,2,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,2,11,2,9,1,11,1,9,2,8,1,16,1,9,1,11,2,9,2,16,1,9,1,11,2,13,2,9,6,11,1,9,1,10,1,9,1,11,1,9,1,11,2,9,2,8,1,9,2,11,1,13,1,11,1,9,1,13,1,8,1,9,3,13,1,9,2,11,1,9,2,16,1,8,1,9,1,10,1,11,1,16,1,10,1,9,2,16,1,9,1,11,1,16,1,11,1,9,3,16,1,9,1,10,1,17,1,11,2,10,1,11,2,16,1,9,1,16,1,11,1,16,3,11,1,16,17,17,2,16,1,17,1,16,2,11,1,16,1,11,1,16,1,10,1,9,3,13,2,9,1,13,2,6,1,13,1,6,1,13,1,28,1,30,1,13,1,6,2,13,3,6,1,13,3,33,78,5,436,6,1,28,27,30,1,28,30,7,1,13,1,11,2,9,3,10,1,8,1,9,3,8,1,9,1,8,1,13,1,8,1,9,4,8,1,9,2,10,1,9,2,8,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,9,2,11,1,10,1,11,1,9,1,11,1,9,2,17,1,11,1,13,1,5,137,33,1,6,1,13,1,30,3,28,2,30,1,28,1,30,1,28,1,6,1,30,1,6,2,13,3,30,1,13,2,9,1,13,1,6,1,13,1,6,1,13,2,30,1,13,1,30,1,28,1,6,1,30,1,6,1,30,4,6,3,28,3,6,2,28,2,30,1,28,1,30,1,6,1,28,2,30,1,28,2,30,1,6,2,28,1,30,1,28,2,30,1,28,2,6,1,28,6,30,1,28,1,30,1,28,2,30,1,28,2,13,3,30,1,6,1,13,1,5,68,33,6,9,1,13,1,7,2,13,1,7,1,13,2,8,1,6,1,7,2,6,2,8,1,6,4,13,1,30,1,13,1,6,1,29,1,7,1,28,1,6,1,29,1,6,1,29,1,28,1,6,1,28,3,30,1,29,2,30,1,28,1,30,2,28,1,30,1,28,3,29,1,30,2,6,1,30,2,6,1,29,2,28,1,6,1,29,1,6,3,13,1,8,1,13,1,8,1,6,1,13,12,8,1,13,4,8,1,13,2,9,2,28,1,33,1,5,211,13,1,28,11,9,1,16,2,11,1,9,1,8,1,13,1,6,3,29,1,13,2,16,1,9,1,12,1,17,1,13,1,28,6,6,1,17,1,12,1,6,2,29,1,7,1,30,1,6,1,28,24,7,1,14,2,17,1,9,1,7,1,8,1,7,1,10,1,8,2,13,1,7,1,6,2,13,1,28,1,13,1,8,1,9,2,6,1,}, {28,1,30,1,29,1,30,1,28,2,13,1,17,1,12,1,10,1,9,1,13,1,7,1,6,1,9,1,11,1,14,1,13,1,28,37,30,2,6,1,8,1,13,2,17,1,12,1,13,1,30,1,28,1,6,1,28,1,29,1,7,1,10,1,17,2,13,2,7,1,13,2,8,1,9,1,8,1,13,2,15,1,10,1,13,1,30,1,6,2,29,1,9,1,17,4,12,2,17,1,12,1,8,1,24,1,9,1,17,8,11,1,13,3,30,1,28,7,30,1,28,6,30,1,28,4,30,1,28,1,8,1,10,1,17,2,16,1,17,1,16,1,11,1,6,1,13,3,6,1,13,1,24,1,10,1,12,1,15,1,9,1,13,1,12,1,13,2,9,2,10,1,9,4,11,1,12,1,17,1,8,1,6,1,28,10,30,1,28,3,7,1,9,1,10,1,11,1,16,2,11,1,16,1,11,2,16,5,11,1,16,9,17,1,16,2,11,1,16,4,17,2,16,1,17,2,16,2,17,1,16,4,17,1,16,1,17,1,16,2,17,1,16,2,11,1,10,1,11,2,9,1,11,1,9,2,11,1,9,2,11,3,9,2,11,1,9,1,11,1,9,1,11,1,10,1,11,1,10,1,11,2,10,1,11,2,16,2,11,2,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,5,11,2,16,1,11,1,16,6,11,1,16,2,11,2,16,1,17,4,16,1,17,3,16,3,17,2,16,1,17,18,16,1,17,1,16,1,17,20,16,1,17,2,16,1,17,10,16,1,17,3,11,2,9,2,13,1,9,1,8,1,9,2,10,1,8,1,10,2,24,1,9,1,24,1,10,1,8,2,6,1,13,1,9,1,24,1,7,1,13,1,8,1,6,2,29,1,30,1,6,1,30,1,6,1,28,5,29,1,28,5,30,1,28,302,29,1,28,1,13,1,9,3,8,1,9,1,13,1,9,4,8,1,9,1,13,2,9,1,8,1,9,3,16,1,8,1,9,1,13,2,8,1,13,1,9,1,13,1,9,1,11,1,16,1,13,1,9,5,13,1,11,2,13,1,9,1,11,1,9,1,11,1,9,2,13,1,9,4,13,2,8,1,9,1,13,1,11,1,13,1,9,1,8,1,9,3,8,1,9,2,16,1,9,4,10,2,11,1,9,6,13,1,9,1,8,1,9,1,10,1,16,1,11,1,9,1,16,1,9,1,11,1,17,1,16,1,17,1,10,2,11,1,17,1,11,1,16,1,11,2,16,2,17,1,11,1,9,1,16,2,11,1,16,1,11,1,16,1,9,1,13,1,9,1,8,1,13,5,9,7,11,2,9,3,16,1,10,1,16,1,9,1,11,1,9,2,17,1,11,1,9,2,11,2,9,3,11,1,10,1,9,1,16,1,11,6,10,1,8,1,11,1,9,2,11,1,8,1,16,1,9,3,10,1,8,1,16,1,9,4,11,1,9,1,11,1,13,1,11,1,9,1,11,1,9,1,11,1,9,1,13,1,9,3,13,1,10,1,9,3,10,1,11,1,13,1,11,1,13,1,9,1,11,2,9,1,11,1,9,1,11,1,16,1,11,7,9,2,8,1,9,1,11,3,9,1,11,1,9,1,11,1,9,2,11,2,9,1,11,2,10,1,11,1,9,5,11,4,9,1,16,1,9,1,16,1,13,1,9,3,16,1,9,9,11,1,13,1,9,1,13,1,9,1,11,1,9,2,13,1,9,1,8,1,9,2,10,1,11,2,9,1,11,1,9,2,10,1,11,1,13,1,9,1,11,2,9,6,8,1,9,1,11,1,9,1,11,2,16,1,11,2,17,1,16,1,11,1,16,4,11,1,16,1,17,1,11,1,16,5,11,1,17,1,16,4,17,1,16,2,17,2,16,2,17,1,16,1,10,1,11,1,9,2,11,2,9,2,13,1,9,1,13,2,30,1,13,2,6,1,13,8,6,1,13,2,6,2,13,1,33,77,5,436,13,1,28,60,13,1,9,4,8,1,9,5,8,1,9,5,13,1,9,3,8,2,9,7,10,1,9,1,10,2,9,2,11,1,9,1,11,3,8,1,13,1,11,1,16,1,13,1,5,140,13,1,28,8,30,1,28,3,13,1,6,1,13,2,6,5,30,1,13,2,6,1,13,1,6,1,13,2,28,2,30,3,28,2,6,1,28,1,6,1,13,1,6,1,30,3,28,2,30,1,28,3,30,1,28,11,6,1,30,1,28,1,30,1,28,5,6,2,28,6,30,1,13,1,6,1,13,1,6,2,13,1,6,1,5,67,33,6,5,1,9,2,13,4,7,1,8,1,13,2,29,1,13,2,6,2,7,2,29,1,6,1,7,1,6,2,29,1,6,1,29,2,28,1,29,1,6,1,28,2,30,1,29,1,30,4,29,1,30,1,28,1,29,1,28,1,30,1,28,2,29,1,28,1,29,2,30,1,28,2,30,3,29,1,6,1,29,1,30,1,7,1,6,1,13,1,6,1,8,1,6,1,8,1,13,4,7,1,13,3,8,1,13,6,8,1,13,3,8,3,13,1,6,1,33,3,5,208,13,1,28,11,9,1,17,2,9,3,8,1,13,1,28,1,29,1,30,1,13,1,24,1,12,2,9,1,17,1,13,1,28,6,30,1,9,1,12,1,13,1,29,1,6,1,30,1,28,27,14,2,11,1,10,1,8,1,13,4,8,1,6,1,7,1,6,1,30,1,28,2,7,1,13,1,8,1,11,1,13,1,}, {28,1,6,1,28,1,30,1,29,1,13,1,24,1,17,2,9,1,8,1,13,1,7,1,6,1,24,1,17,1,14,1,6,1,28,37,29,1,30,1,6,1,24,1,6,1,24,1,17,1,9,1,13,1,6,1,28,2,30,1,28,1,30,1,9,1,17,1,12,1,13,4,8,1,24,1,9,1,8,1,7,1,8,1,24,2,8,1,29,1,6,1,29,1,6,1,8,1,17,3,16,1,17,2,11,1,9,1,13,1,9,1,8,1,17,9,13,1,7,2,6,1,30,1,28,2,29,1,28,1,30,1,28,4,30,1,28,7,30,1,28,2,13,1,9,1,17,3,16,1,17,1,11,1,8,1,7,1,6,2,13,1,29,1,6,1,16,1,17,1,16,1,9,4,10,1,9,1,11,1,9,1,24,1,8,1,9,2,11,1,12,1,9,1,8,1,30,1,28,10,30,1,28,3,13,1,11,3,16,2,11,1,16,2,17,1,16,2,11,1,16,12,9,1,16,5,17,4,16,3,17,1,16,1,11,1,17,4,16,4,11,1,16,3,11,3,9,1,11,1,9,1,11,2,9,4,11,1,9,1,11,1,16,1,9,2,16,1,11,1,10,1,11,1,16,1,11,2,9,1,11,2,16,1,11,1,16,1,9,1,16,2,11,2,16,4,11,1,16,1,11,1,16,1,11,2,16,3,11,5,16,1,11,1,16,1,11,1,16,1,9,1,16,5,17,2,16,1,17,10,16,2,17,10,16,1,17,4,16,1,17,22,16,3,17,1,16,2,17,6,16,1,17,1,16,1,17,5,11,1,9,1,10,1,16,2,9,1,17,2,11,1,9,2,17,1,24,2,9,1,24,1,13,1,6,1,24,1,8,1,13,1,7,2,13,1,29,1,6,1,28,3,29,1,28,1,6,1,30,2,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,305,7,1,9,2,11,1,9,2,13,2,9,2,8,1,9,1,13,3,11,1,16,2,9,1,16,1,11,1,8,1,13,1,16,1,13,2,9,1,11,1,13,1,8,1,9,2,8,2,13,1,9,4,13,1,9,1,13,1,9,1,11,1,9,1,11,1,9,1,13,2,9,1,13,2,8,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,9,2,16,1,13,1,9,1,13,1,9,1,13,1,9,2,11,1,9,1,16,1,13,1,8,1,16,1,9,1,11,1,9,1,13,1,17,1,11,1,9,1,11,1,9,1,10,1,13,1,11,1,9,1,10,1,9,1,16,1,8,2,9,1,17,2,16,1,11,1,16,1,17,1,16,1,11,1,16,1,11,1,16,1,9,1,16,4,17,2,11,1,13,1,9,2,13,1,8,1,13,1,9,4,11,1,9,2,11,1,9,3,11,1,10,1,9,1,11,1,9,2,11,1,9,2,11,1,9,3,11,1,9,1,16,1,8,1,16,2,11,4,10,1,11,1,9,2,11,1,9,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,8,1,9,1,8,1,9,3,11,1,9,2,11,2,8,1,10,1,9,9,8,1,9,4,11,2,9,2,16,2,9,2,16,1,9,1,11,1,9,1,11,5,9,1,11,1,10,1,9,4,11,1,9,2,13,1,11,1,9,3,11,1,9,2,11,3,9,5,11,1,16,1,11,1,9,5,13,1,11,1,9,1,11,3,8,1,11,1,9,3,13,1,11,1,13,1,9,4,11,1,13,1,8,1,9,1,13,1,11,1,8,1,9,7,11,1,8,1,11,3,9,2,8,1,9,2,11,1,9,3,11,1,9,1,11,3,9,2,11,1,9,1,11,1,16,1,11,2,16,1,11,2,17,1,16,3,11,1,16,1,11,1,16,2,11,1,16,2,17,1,16,7,17,1,16,1,17,2,16,4,9,1,11,2,9,1,11,2,9,4,13,1,28,1,6,1,13,1,6,1,13,8,7,1,6,1,30,2,6,1,13,1,33,76,5,437,30,1,28,22,30,6,28,4,30,1,28,27,13,1,17,1,10,1,9,1,11,1,8,1,9,1,8,2,9,2,8,2,13,1,9,5,8,1,9,2,13,1,9,1,11,1,9,1,11,1,10,1,11,2,9,1,11,1,10,1,11,1,9,2,11,2,9,1,11,1,9,1,13,1,9,1,11,1,9,1,5,142,28,14,13,5,28,2,6,1,30,1,28,2,6,1,30,2,13,1,30,3,28,2,30,1,28,3,30,1,6,1,30,2,9,1,6,1,30,1,13,1,28,2,6,1,28,2,30,1,28,1,30,1,28,5,6,1,28,1,6,1,28,1,30,1,28,11,30,1,28,2,6,1,28,1,30,1,28,1,6,1,13,1,6,1,30,1,13,1,5,68,33,5,13,1,9,1,13,2,8,1,13,3,6,1,8,1,6,1,13,1,6,1,7,2,6,3,13,1,6,1,29,1,7,1,30,1,6,1,29,1,6,2,13,1,30,1,28,1,6,1,30,1,29,1,30,1,28,1,6,1,28,2,30,1,29,1,6,1,28,3,6,1,29,1,6,4,30,2,28,1,30,1,29,1,28,1,29,2,13,1,7,1,29,1,13,1,6,2,13,1,7,1,13,1,7,1,13,2,9,1,13,2,7,2,8,1,13,15,33,3,5,207,13,1,28,11,9,1,17,2,16,1,9,1,24,1,8,1,13,1,6,1,28,1,6,1,13,1,24,1,15,1,10,1,11,1,17,1,24,1,30,1,28,5,29,1,15,1,17,1,7,1,6,1,30,1,28,1,30,1,6,1,28,24,7,1,14,1,11,1,12,1,10,1,9,1,8,1,13,1,24,1,13,2,7,1,29,2,30,1,28,2,6,1,8,1,9,1,8,1,28,1,}, {28,3,30,1,28,2,8,1,10,1,17,1,8,1,13,2,6,1,13,1,8,1,12,1,15,1,13,1,28,36,6,1,30,1,6,2,24,1,13,1,12,1,9,1,12,1,6,2,30,1,28,1,29,2,28,1,11,1,17,2,9,1,24,1,8,2,6,1,8,1,10,1,24,1,30,1,6,1,8,1,9,1,13,2,6,2,29,1,13,1,17,4,16,1,17,1,16,1,8,2,12,1,10,1,24,1,11,1,12,1,17,5,11,1,13,1,8,2,29,1,6,1,28,1,29,1,30,2,28,5,30,1,28,2,30,1,28,4,30,1,28,2,13,1,17,6,10,1,8,1,13,1,7,1,29,1,6,1,13,1,8,1,16,1,17,1,16,1,24,3,8,1,9,2,10,1,12,1,9,2,13,2,11,1,10,1,9,1,8,1,28,1,30,1,28,13,13,1,9,1,17,2,16,1,17,1,16,11,17,1,16,4,17,1,16,1,17,2,16,1,17,1,16,1,11,1,17,7,16,4,17,1,16,6,11,2,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,4,10,1,9,2,8,1,9,1,8,1,16,1,9,1,11,1,10,1,11,5,16,1,11,2,9,1,16,2,11,2,16,3,11,7,16,2,11,1,16,1,11,1,16,4,11,1,16,5,17,1,11,1,16,2,17,10,16,1,17,3,16,1,17,1,16,1,17,28,16,2,17,5,16,1,17,2,16,7,17,2,16,2,17,2,16,2,17,8,16,4,17,5,12,1,13,1,8,1,13,1,8,2,24,1,13,1,7,1,6,2,28,1,29,1,30,1,28,1,6,1,28,1,30,2,29,2,28,6,30,1,28,1,30,1,28,1,30,1,28,307,30,1,29,1,28,1,8,1,11,1,9,2,8,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,16,1,11,1,9,1,16,1,11,1,9,1,16,1,11,1,9,1,11,1,13,1,11,1,13,1,9,1,13,1,9,6,16,1,9,2,11,1,13,2,11,1,13,3,9,1,8,1,13,1,9,3,11,1,9,1,13,2,9,5,16,1,13,1,8,1,9,8,10,1,16,1,9,1,8,1,11,1,8,1,9,3,16,2,9,1,11,1,10,1,9,1,10,1,9,1,11,2,13,1,16,1,9,1,11,1,17,1,11,1,9,1,10,1,17,2,16,1,17,1,9,6,16,1,9,1,16,1,11,1,17,1,16,2,9,1,16,1,8,1,11,1,16,1,11,1,16,1,11,1,16,1,17,2,10,1,17,3,16,1,11,1,9,2,10,1,9,1,16,1,9,2,16,1,11,2,9,5,11,1,9,2,11,1,9,1,16,1,9,1,11,2,9,2,11,1,9,3,16,1,11,2,8,1,11,2,9,4,11,1,9,5,13,1,11,1,9,1,8,1,9,1,8,1,9,4,11,1,8,1,11,2,9,1,11,1,13,1,9,2,11,2,9,1,16,1,9,1,11,4,9,1,11,2,16,1,9,2,11,1,9,1,11,1,10,1,9,2,13,1,11,1,9,7,10,1,9,1,11,3,9,1,13,1,9,1,11,1,9,1,13,1,11,1,8,1,11,2,9,1,11,1,9,3,10,2,13,2,11,1,9,4,13,1,9,2,13,1,9,2,8,1,9,1,13,1,9,3,11,1,8,1,9,2,11,1,9,1,11,1,8,1,17,1,11,1,9,2,11,1,9,1,11,1,9,4,11,1,9,1,8,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,10,2,16,1,9,2,11,1,16,1,9,1,16,2,11,2,16,3,11,2,16,2,11,1,17,1,16,7,17,1,16,4,11,1,17,1,16,5,11,1,9,1,11,1,9,2,11,1,9,3,13,4,7,1,13,2,9,1,13,1,6,1,13,1,7,1,13,2,30,1,13,1,6,2,13,2,33,75,5,437,33,1,13,1,28,13,16,1,5,20,28,26,13,1,17,1,9,6,8,1,10,1,9,1,8,1,9,2,8,3,9,1,8,1,9,1,10,1,8,1,9,7,10,1,9,1,10,1,9,2,11,4,9,2,13,1,11,1,9,1,5,144,33,1,28,12,30,1,6,1,28,6,30,1,28,11,6,1,28,1,30,1,28,3,30,1,6,2,28,1,6,2,13,1,30,2,28,1,6,1,28,9,30,2,28,2,30,1,28,7,6,1,28,2,30,1,13,1,6,1,28,2,30,1,28,2,6,1,13,2,6,1,33,1,5,66,33,6,6,1,9,1,8,1,13,1,7,1,13,1,7,2,13,2,7,1,13,1,7,1,13,1,7,1,6,1,13,1,6,1,13,1,6,4,30,1,13,1,30,3,6,1,29,2,30,2,28,1,29,1,28,2,29,1,6,1,28,1,30,1,28,1,6,1,29,1,28,1,29,2,6,1,29,1,28,1,6,1,29,1,30,3,6,1,30,1,6,1,7,2,6,1,7,1,13,1,7,1,13,1,7,1,13,2,6,1,13,3,6,2,30,1,7,1,13,3,8,1,13,1,7,1,13,2,8,2,13,3,9,1,5,1,33,3,5,206,13,1,28,10,30,1,9,1,17,1,11,1,12,2,8,2,6,1,28,1,30,2,7,1,9,3,12,2,10,1,28,6,6,1,11,1,15,1,13,1,6,2,30,1,28,26,6,1,14,2,12,1,9,2,13,1,6,1,9,1,8,1,13,2,30,1,6,1,28,3,13,2,10,1,9,1,7,1,}, {30,2,13,1,28,1,30,1,13,1,24,1,17,1,11,1,9,1,6,1,13,1,7,1,24,1,9,1,11,1,14,1,6,1,28,32,30,2,28,2,30,1,28,1,29,1,7,1,8,1,24,2,12,1,24,1,13,1,28,2,30,1,28,1,30,1,6,1,24,1,17,1,12,1,9,1,24,1,13,1,8,2,9,1,12,1,7,1,6,1,8,1,24,1,11,1,24,1,6,1,29,1,6,1,28,1,13,1,17,3,12,1,17,1,16,2,9,1,13,2,9,1,16,1,24,1,17,1,12,1,17,4,16,1,8,1,13,1,6,1,28,1,29,1,28,2,30,1,28,1,30,2,28,4,30,1,28,8,30,1,13,1,24,1,12,2,17,3,11,1,8,1,6,1,13,1,7,1,6,2,13,1,10,1,15,1,17,1,24,1,8,3,9,3,13,1,12,1,8,1,24,2,12,1,9,1,17,1,8,1,29,1,30,1,28,13,13,1,9,1,17,1,16,1,17,2,16,4,11,1,17,1,16,1,11,1,16,4,17,1,16,5,17,4,16,1,17,3,16,1,17,1,16,1,17,1,16,1,17,1,16,6,11,5,9,2,11,5,16,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,10,2,11,1,16,1,9,1,11,1,16,3,11,2,16,1,11,2,17,1,16,1,9,1,16,2,11,2,16,4,11,1,16,1,11,6,16,1,17,1,16,3,11,1,16,2,11,1,16,3,11,2,16,1,11,1,16,2,17,1,16,1,17,2,16,1,17,9,16,1,17,6,16,1,17,15,16,2,17,2,16,1,17,2,16,1,17,4,16,2,17,2,16,2,17,2,11,1,16,2,11,1,16,2,17,1,16,1,17,3,16,1,17,2,16,1,17,4,16,1,17,9,16,1,8,3,13,1,8,1,13,1,7,1,30,1,6,1,29,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,28,1,30,1,29,1,28,2,30,1,28,2,30,1,28,3,30,1,28,309,30,1,29,1,6,1,9,1,17,1,8,1,9,1,8,1,9,6,16,1,9,2,8,1,9,3,16,1,9,3,13,1,9,1,8,1,13,1,9,4,8,1,9,1,8,1,13,1,9,1,16,1,11,1,9,1,8,1,9,2,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,11,1,9,3,16,1,13,1,9,1,13,1,9,6,10,1,11,1,9,1,13,1,9,1,11,2,16,1,13,1,9,4,8,1,9,1,11,1,9,1,11,3,9,1,8,1,9,1,11,1,16,1,8,1,11,1,9,1,16,1,11,1,17,1,16,1,11,1,17,1,11,2,9,3,13,2,16,2,17,2,16,1,17,1,11,1,17,1,9,2,16,1,8,1,16,2,11,2,17,1,16,1,17,2,11,1,17,1,16,1,17,4,16,1,11,2,9,1,10,1,11,1,9,3,10,1,9,1,11,1,9,2,10,1,11,1,10,1,9,1,11,7,10,1,11,2,9,1,11,1,16,1,9,1,11,2,9,1,8,1,9,1,11,1,9,1,8,1,9,1,11,1,8,1,9,1,8,1,9,1,13,1,10,1,9,3,11,1,9,3,11,3,9,1,11,4,16,1,11,2,9,1,16,1,11,1,9,2,16,1,9,1,11,1,9,3,11,1,9,2,11,3,9,3,11,2,9,1,11,1,9,6,11,3,16,1,9,3,10,1,11,1,16,1,11,4,8,1,9,2,11,1,9,2,16,1,9,3,11,1,9,2,13,1,9,2,11,1,13,1,8,1,9,2,13,1,9,2,8,1,13,2,9,2,13,1,11,1,13,1,9,1,11,3,9,13,10,1,9,2,11,1,9,1,11,1,9,1,11,1,16,1,11,4,9,1,16,2,9,1,16,2,11,1,16,6,17,1,16,4,17,1,16,7,17,1,16,1,17,1,16,3,11,1,9,1,16,1,11,1,9,3,11,1,9,1,13,1,9,1,13,5,9,1,13,2,8,1,9,1,13,1,9,1,30,1,28,1,30,2,6,1,33,75,5,439,28,12,5,23,28,26,9,1,17,1,9,11,8,3,13,1,9,9,11,1,9,4,10,2,11,1,9,1,10,2,9,2,16,1,11,1,13,1,5,145,13,1,28,35,30,1,28,2,6,1,28,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,22,6,1,30,1,13,1,28,1,30,1,13,1,28,3,6,2,30,1,6,1,33,1,5,66,33,5,28,2,11,1,9,1,7,2,13,2,7,1,13,2,6,1,7,1,13,1,6,2,7,1,6,4,13,1,29,1,7,3,13,1,6,2,29,1,28,1,29,2,28,1,30,3,28,1,30,2,28,2,29,2,6,1,30,1,29,4,6,1,29,1,6,3,28,1,29,1,6,3,7,2,6,1,13,1,6,1,13,3,7,1,13,5,7,1,13,6,8,1,13,2,8,1,13,5,9,1,5,1,33,4,5,204,13,1,28,10,6,1,9,1,17,2,9,1,13,1,8,2,6,2,28,2,13,1,9,2,11,1,12,1,17,1,24,1,28,6,6,1,15,1,12,1,30,1,8,1,7,1,30,3,28,24,6,1,14,2,17,1,12,1,9,2,24,1,9,1,24,1,13,1,7,1,6,2,28,3,13,1,7,1,9,2,6,1,}, {29,1,30,2,29,1,30,1,6,1,24,1,11,1,12,1,9,1,7,1,6,1,13,1,6,1,24,1,8,1,15,1,6,1,28,32,30,1,28,5,6,1,7,1,13,1,8,1,9,1,10,1,17,1,13,1,29,1,28,1,29,1,28,3,12,1,11,1,17,1,10,1,9,1,8,1,9,1,13,1,24,1,9,1,24,1,7,1,6,1,9,1,15,1,8,1,13,1,29,1,8,1,28,1,8,1,17,2,16,1,17,1,16,3,12,1,9,2,17,1,9,1,12,1,17,3,16,1,17,2,11,1,8,1,24,1,13,2,30,1,28,1,30,4,28,2,30,1,28,6,30,1,28,5,7,1,11,1,17,6,7,2,30,1,13,1,6,1,29,1,13,1,9,1,17,1,16,1,9,1,10,1,8,3,13,1,24,1,13,1,9,1,24,1,8,1,9,1,13,1,9,2,13,1,6,1,30,1,28,13,13,1,9,1,16,2,17,2,16,2,17,1,16,13,17,1,16,1,17,2,16,9,17,1,16,4,9,1,11,1,9,1,16,1,11,3,16,1,11,1,16,2,9,1,16,1,9,3,11,2,9,1,16,1,11,2,9,1,11,3,16,5,11,1,16,1,11,1,16,3,11,8,9,1,16,2,9,1,16,1,17,1,11,1,16,1,11,1,16,10,11,1,16,3,17,1,16,1,17,1,16,2,17,1,16,4,17,3,16,1,17,8,16,1,17,9,16,1,17,1,16,1,17,6,16,1,17,1,16,1,17,1,16,1,17,2,16,4,17,1,16,1,17,1,16,1,11,1,16,3,17,1,16,3,17,1,16,1,17,1,16,1,11,1,16,1,11,2,16,2,17,1,16,3,17,2,16,1,17,1,16,3,11,3,17,3,11,1,9,1,13,1,8,2,13,2,6,3,30,1,6,1,29,1,6,1,30,1,6,1,30,1,28,1,6,1,28,2,30,1,28,2,30,1,6,1,28,1,30,1,28,1,6,1,28,1,29,1,28,313,29,1,6,1,29,1,13,1,9,2,8,1,13,1,11,1,13,1,9,2,16,1,9,2,16,4,13,1,11,1,9,2,16,1,9,2,11,1,9,4,13,1,9,2,11,1,9,1,11,1,9,3,11,1,9,2,13,5,11,1,13,2,9,1,13,1,9,2,13,1,16,1,13,1,9,1,13,1,8,1,13,1,9,1,11,1,9,1,11,2,9,4,11,1,9,2,11,1,10,1,11,1,9,1,8,1,9,1,8,1,9,1,10,1,8,1,11,1,9,1,11,1,9,2,16,1,17,1,8,2,9,1,17,1,16,1,17,1,16,2,9,2,10,1,9,1,10,1,11,1,16,1,9,1,16,2,17,1,16,1,11,1,10,1,9,1,16,2,11,4,17,1,16,3,17,1,11,1,16,1,11,1,17,7,16,1,9,2,10,1,9,1,10,1,8,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,9,1,16,1,13,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,2,9,6,10,1,9,1,11,1,9,5,11,1,13,1,9,2,13,2,9,2,11,3,9,1,11,1,9,1,11,2,9,1,11,1,9,1,16,1,9,2,11,2,9,3,11,2,9,2,11,1,9,2,10,1,11,1,16,1,9,1,11,1,13,1,16,1,9,1,11,3,9,2,11,2,9,1,11,8,9,2,11,5,9,1,11,1,9,1,16,1,11,1,9,1,10,1,9,4,11,1,9,9,13,1,9,3,13,1,9,1,8,1,9,1,13,1,9,2,8,1,11,1,9,2,11,1,9,2,10,1,9,1,11,1,9,1,11,1,9,3,8,1,9,1,11,1,13,1,9,4,11,1,10,1,11,1,9,1,11,1,9,1,11,2,16,2,9,1,17,1,11,1,16,6,17,1,16,5,11,1,17,1,16,3,17,1,16,7,17,1,16,1,11,1,16,1,11,1,9,1,11,4,9,4,13,3,9,2,13,1,9,4,13,2,6,1,13,1,30,1,28,1,13,1,33,75,5,439,28,11,5,23,6,1,28,26,13,1,17,2,9,3,8,1,10,1,8,1,9,1,13,1,9,1,13,1,8,1,13,3,9,3,10,1,9,7,10,1,11,1,9,3,11,1,9,2,10,1,8,1,13,1,16,1,13,1,5,146,13,1,28,38,30,2,28,1,30,2,6,2,13,1,30,1,6,1,13,1,28,1,30,1,28,12,30,1,28,4,30,2,6,5,13,2,28,3,30,1,13,1,30,1,13,1,33,1,5,66,33,6,28,1,9,2,6,1,13,3,6,1,7,1,13,2,6,1,8,1,6,1,13,2,6,4,30,1,6,2,30,1,29,1,6,3,30,1,29,2,28,1,30,1,6,1,28,1,29,1,28,2,29,1,28,1,29,1,30,1,6,1,30,1,6,1,29,1,28,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,6,2,7,1,29,1,13,1,29,2,7,3,6,1,8,2,13,2,6,1,13,2,7,1,13,3,6,1,13,8,8,1,13,1,9,3,33,3,5,204,6,1,28,10,29,1,16,1,17,1,11,2,8,1,9,1,8,1,7,1,30,1,29,1,28,1,13,1,9,3,17,2,8,1,28,6,7,1,14,1,11,1,28,1,7,1,13,1,6,1,28,1,30,1,28,24,13,1,14,2,17,1,11,1,9,1,13,1,9,2,8,1,13,2,30,1,29,1,28,2,30,2,13,1,9,1,11,1,28,1,}, {6,1,28,1,30,4,8,1,9,1,12,1,8,2,28,1,13,1,6,1,8,1,9,1,14,1,7,1,28,34,30,1,28,3,13,1,6,1,24,1,8,1,9,1,17,2,8,1,6,1,28,1,30,1,29,2,28,1,13,1,17,2,9,2,8,1,24,1,13,1,9,2,24,1,6,1,7,1,24,1,12,1,6,3,13,1,6,1,13,1,8,1,17,1,16,1,17,1,16,2,12,1,24,1,9,2,24,1,17,8,8,2,13,2,29,1,6,1,28,1,6,1,28,5,30,1,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,13,1,9,1,17,1,12,1,17,3,16,1,13,2,6,2,7,1,28,1,7,1,12,1,17,2,9,1,24,1,9,1,13,1,8,1,24,1,8,3,9,1,8,1,24,1,12,1,10,1,12,1,7,1,30,1,28,14,6,1,9,1,17,4,16,5,17,1,16,5,17,3,16,3,17,1,16,1,17,1,11,1,16,4,17,2,16,1,17,1,16,3,11,1,16,1,11,1,16,1,11,1,16,2,11,5,9,1,16,1,11,3,16,2,11,3,16,9,9,1,16,1,11,2,17,1,16,1,11,2,9,1,16,1,13,1,16,3,11,2,16,1,11,1,16,3,17,2,11,1,16,1,17,1,16,2,17,2,16,2,17,1,16,2,17,2,16,4,11,2,16,2,11,1,16,5,17,1,16,4,17,2,16,1,17,1,16,4,17,20,16,10,11,1,17,1,11,1,17,1,11,1,17,1,16,3,11,3,16,2,11,3,16,1,11,1,16,1,11,1,16,3,11,1,17,1,16,1,11,2,16,4,11,2,17,2,11,1,6,1,9,1,8,1,13,2,29,1,30,1,6,2,30,1,29,1,30,1,6,2,28,1,30,1,6,1,28,2,30,3,28,1,30,2,28,1,29,1,28,2,30,1,28,3,30,1,28,310,29,1,28,1,6,1,28,1,8,1,11,1,9,3,11,1,9,3,16,1,11,2,9,1,11,1,9,1,14,1,8,1,9,1,11,1,8,1,9,1,13,1,9,3,8,1,11,1,9,1,13,1,9,2,11,1,9,5,13,1,9,7,13,1,9,1,11,1,13,1,11,1,8,1,9,3,11,1,8,1,9,3,11,1,9,1,11,1,10,1,11,1,9,1,11,1,10,1,9,1,10,1,16,1,9,1,11,2,16,2,8,1,11,2,9,1,10,1,11,1,9,1,13,1,8,3,9,4,10,1,9,1,13,1,16,1,9,1,8,1,9,2,8,1,13,1,9,1,11,1,13,1,11,1,8,1,17,2,11,2,9,5,11,2,9,1,16,1,9,1,16,1,17,1,11,1,17,7,11,1,17,1,9,6,17,1,11,1,16,1,9,2,16,1,9,6,13,1,9,1,10,1,11,1,9,3,16,1,11,2,8,1,11,2,9,1,11,1,9,1,10,1,9,1,11,1,9,4,13,1,11,1,13,1,9,2,13,1,11,1,13,1,9,3,16,1,9,1,11,1,16,1,11,1,16,1,9,1,16,1,9,1,11,1,16,1,11,1,9,1,11,2,9,4,10,1,9,3,11,3,9,1,11,2,9,1,11,3,9,1,11,2,16,1,11,1,9,1,11,2,9,1,11,2,9,4,11,3,9,2,11,1,9,1,11,1,9,1,8,1,11,1,10,1,11,1,10,1,9,4,11,2,9,2,11,1,13,1,9,1,13,1,9,1,11,1,9,3,13,1,10,1,9,1,13,1,8,1,9,3,13,1,9,3,16,1,9,5,10,1,9,3,13,1,11,1,9,4,11,2,9,1,10,1,9,1,11,2,9,1,10,1,11,1,16,2,11,4,16,9,17,1,16,9,17,1,16,1,17,1,16,4,17,1,16,1,11,2,9,1,11,1,9,1,11,3,9,9,13,1,9,3,13,2,6,1,13,2,6,1,30,2,33,74,5,439,13,1,28,1,30,1,28,8,5,24,33,1,28,27,9,1,17,2,9,1,7,1,9,3,8,1,9,1,13,1,9,1,13,1,8,1,9,3,13,1,9,1,8,1,9,2,10,1,9,3,11,1,9,2,11,4,10,1,9,1,8,1,9,1,16,1,13,1,28,1,5,146,33,1,28,6,30,1,28,12,6,1,28,3,30,2,28,12,30,1,28,2,30,2,28,3,6,1,28,5,6,1,30,1,28,4,30,2,28,5,6,1,13,2,29,1,30,1,13,1,28,2,6,1,30,1,13,1,6,1,28,4,30,2,13,1,30,1,13,1,33,1,5,65,33,6,28,1,9,2,6,1,13,1,7,2,6,1,13,3,6,1,13,2,6,1,7,2,6,1,7,1,29,1,30,1,6,1,29,2,30,1,29,1,7,1,6,2,30,1,29,1,30,1,28,2,30,1,6,1,28,2,29,1,28,1,30,1,7,1,6,2,30,2,6,2,28,1,30,1,29,1,7,1,29,1,6,1,29,2,6,1,13,1,7,1,13,1,6,1,13,1,7,1,6,1,13,2,7,1,8,1,13,1,7,1,6,1,7,1,13,2,6,1,13,2,8,1,6,1,8,1,13,1,7,1,13,1,7,1,13,4,8,1,9,2,33,4,5,202,6,1,28,10,13,1,9,1,17,2,11,1,9,2,13,1,6,1,30,1,28,1,29,1,6,1,8,1,9,2,11,1,17,1,13,1,28,6,8,1,14,1,10,1,6,1,30,1,29,1,6,2,28,25,13,1,14,2,17,2,12,1,13,1,11,1,10,1,9,1,10,1,6,1,30,1,28,1,30,3,13,2,10,1,12,1,28,1,}, {28,1,30,1,28,2,30,1,28,1,9,1,10,2,8,2,6,4,9,2,13,1,29,1,28,37,6,1,7,1,8,1,24,1,9,1,12,1,17,1,9,1,30,3,28,2,30,1,13,1,17,2,9,1,8,2,24,1,13,1,9,2,13,1,6,2,8,1,14,1,8,1,6,2,30,1,6,1,13,1,10,1,17,5,11,2,9,1,11,1,9,1,16,1,10,1,17,1,16,2,9,1,12,1,17,1,16,1,8,1,29,1,13,1,6,1,30,1,28,1,29,2,30,1,28,8,30,1,28,4,30,1,28,2,13,1,10,1,17,5,11,1,9,1,6,3,7,1,6,1,29,1,8,1,12,1,17,1,12,2,24,2,13,1,8,1,24,1,8,1,9,2,8,2,9,1,17,1,15,1,8,1,29,1,28,1,30,1,28,8,30,1,28,3,13,1,9,1,17,2,16,1,17,2,16,15,17,1,16,2,17,1,16,4,17,2,16,1,17,1,16,1,11,2,16,1,11,2,16,1,11,1,16,2,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,16,9,9,1,16,1,11,3,16,1,9,1,16,1,11,2,16,1,11,1,17,1,10,1,11,1,16,3,11,1,17,1,16,2,17,1,16,2,11,1,16,5,11,1,16,3,17,1,16,1,11,3,16,1,11,1,16,1,17,1,16,1,11,1,16,2,11,1,16,6,17,1,16,1,17,4,16,2,17,2,16,1,17,1,16,1,17,5,16,1,17,9,16,1,17,1,16,2,17,1,16,2,11,4,16,1,11,1,17,1,9,1,16,1,11,2,10,1,16,1,11,1,16,2,11,1,17,1,16,1,11,1,16,1,11,4,9,1,11,3,16,3,11,1,16,2,11,1,17,1,11,1,16,1,11,2,16,1,9,1,11,1,16,1,11,1,8,1,6,1,8,1,13,1,8,1,6,1,29,4,28,1,30,2,28,1,29,2,30,1,28,1,29,1,30,1,28,3,30,1,29,1,28,318,30,1,28,1,30,1,28,2,6,1,13,1,11,1,16,1,9,2,11,2,9,1,11,1,16,1,11,1,9,1,17,1,8,1,11,2,9,4,11,1,13,1,16,1,9,9,16,1,11,1,9,1,8,2,13,1,11,1,9,1,13,2,9,2,13,1,9,1,13,2,9,1,13,1,11,1,9,1,13,1,16,1,9,2,11,1,9,1,11,1,16,1,13,1,8,1,9,1,11,1,9,1,8,1,9,1,11,1,8,1,9,1,11,1,9,1,16,1,11,1,16,1,9,2,11,2,9,1,11,1,8,1,10,1,9,1,10,1,13,2,9,1,13,2,8,1,9,1,13,2,9,1,13,1,16,2,9,5,13,1,9,2,11,1,9,1,11,1,16,1,10,1,16,1,9,1,11,1,17,1,9,1,11,3,16,2,9,1,17,1,16,1,17,4,11,1,10,1,9,3,16,1,11,2,10,1,11,1,9,1,11,1,10,1,8,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,3,9,1,11,1,9,1,11,3,9,1,11,1,9,3,10,1,9,3,10,1,9,1,8,1,9,2,13,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,10,1,9,5,11,1,10,1,11,1,16,1,9,3,10,1,9,1,11,1,10,1,11,3,9,1,13,1,11,1,9,1,11,1,9,2,16,1,9,4,16,1,9,2,11,1,9,3,11,1,8,1,11,1,9,3,16,1,11,1,9,8,11,1,9,2,11,1,9,4,8,1,13,1,9,13,13,1,9,1,8,1,11,1,10,1,9,3,16,1,11,2,9,1,11,1,9,2,11,2,9,2,10,1,11,3,9,2,10,1,9,1,11,1,9,1,11,2,16,1,11,2,16,5,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,5,11,1,16,4,11,2,16,3,11,1,16,1,9,1,16,1,9,1,11,4,9,4,13,5,9,1,13,1,8,1,9,1,8,1,13,3,6,1,30,1,33,73,5,439,28,2,30,2,28,6,5,26,13,1,28,26,6,1,16,1,17,2,8,1,9,2,13,1,9,1,13,1,8,1,9,1,8,1,9,1,8,2,9,8,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,1,8,2,9,1,11,1,13,1,28,1,5,147,28,10,30,2,6,2,13,1,6,1,13,2,6,1,13,4,28,1,6,1,28,21,6,1,13,1,28,2,6,1,30,3,8,1,29,1,28,10,30,2,28,1,30,1,6,1,28,1,6,2,13,1,6,1,30,1,6,1,13,1,30,2,13,1,30,1,13,1,28,1,33,1,5,65,33,6,6,1,13,1,11,1,13,1,7,1,13,4,6,3,13,1,6,1,13,1,7,1,6,1,7,2,30,2,6,1,29,1,13,1,6,1,29,2,30,1,28,1,29,1,28,2,29,1,28,1,30,1,6,2,30,2,29,1,28,2,6,1,7,2,29,1,30,1,6,1,30,2,7,1,29,1,6,1,7,1,6,1,29,1,7,1,8,1,7,2,6,1,7,1,6,1,7,2,13,1,7,1,29,1,13,2,7,2,13,1,8,2,7,1,6,1,13,1,7,1,6,1,13,7,8,1,13,2,33,5,5,201,13,1,28,10,6,1,11,1,14,1,17,1,9,2,8,2,13,1,30,1,29,1,28,1,13,1,24,1,9,2,16,1,17,1,7,1,28,6,13,1,14,1,12,1,13,1,6,3,30,1,28,25,9,1,14,1,17,1,11,1,16,1,10,1,9,3,8,1,24,1,6,1,29,2,6,1,30,1,6,1,13,1,8,1,11,1,13,1,28,1,}, {28,1,30,1,29,1,28,1,6,1,28,1,13,1,10,1,17,1,13,1,8,1,6,1,28,1,7,1,13,1,9,1,14,1,13,1,28,32,30,2,28,3,30,1,8,2,24,2,13,1,10,1,17,1,8,1,30,2,29,1,28,3,8,1,11,1,17,1,8,1,13,1,8,3,9,1,10,1,13,1,9,1,6,1,10,1,14,1,8,1,6,1,7,1,6,3,12,1,17,3,11,1,9,1,17,1,9,1,8,1,13,1,12,1,17,1,16,1,17,1,11,2,17,4,13,1,7,1,13,1,6,2,30,1,28,19,13,1,12,1,11,1,17,3,16,1,11,1,9,1,6,2,30,1,7,1,6,1,7,1,8,1,11,1,17,1,12,2,9,1,13,1,8,1,13,1,8,1,13,1,24,1,8,1,24,1,8,1,9,1,10,1,17,1,6,2,28,1,30,1,28,8,30,1,28,3,13,1,12,1,16,1,17,1,16,1,17,1,16,5,11,1,16,3,17,1,16,3,11,1,16,5,17,2,11,1,17,1,16,1,17,1,11,1,16,4,11,1,17,1,11,2,16,6,11,1,16,1,11,1,17,1,16,2,17,1,16,1,17,1,16,4,11,1,16,1,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,17,1,16,5,11,1,16,4,17,1,16,5,11,2,16,1,11,1,16,1,9,1,16,1,9,1,16,5,11,1,16,3,9,1,17,1,16,1,11,1,16,1,17,1,16,3,11,3,16,2,17,1,16,1,17,5,16,1,17,1,16,1,17,3,16,2,17,9,16,1,17,1,16,1,17,3,16,6,11,1,16,1,11,3,16,3,11,5,16,1,9,1,11,2,16,2,11,1,16,1,11,1,16,1,11,3,10,1,9,1,11,2,16,1,10,1,11,1,16,1,11,2,17,1,11,1,16,2,10,1,17,1,11,3,8,1,11,3,17,1,11,1,6,1,13,2,6,1,28,1,6,3,30,1,28,1,6,1,30,1,28,1,29,2,28,1,30,1,28,2,30,1,28,3,30,1,28,2,29,1,28,315,30,1,28,2,29,1,30,1,28,1,13,1,8,1,16,1,10,1,11,1,16,1,11,1,10,1,9,1,16,3,9,1,16,1,9,1,11,1,16,1,9,2,16,2,9,4,13,1,9,1,16,1,13,1,9,1,8,1,9,2,16,1,8,1,9,2,13,2,11,1,13,1,9,1,8,1,13,1,9,1,13,2,11,1,13,3,9,1,8,1,13,1,9,3,11,1,9,1,11,1,9,1,8,1,16,1,9,4,16,1,9,2,13,1,11,2,9,2,16,1,9,3,11,2,8,1,9,1,8,1,9,1,16,1,11,1,9,1,10,1,9,1,8,1,9,2,8,1,11,1,13,1,6,1,8,1,30,2,13,1,8,1,13,2,9,1,13,1,10,1,12,1,11,1,9,2,12,1,17,1,11,1,9,2,10,1,9,1,11,1,16,1,11,1,17,1,12,1,17,1,12,1,11,2,17,1,10,1,9,1,10,1,9,1,11,2,9,1,11,2,9,1,11,1,9,2,11,1,10,1,9,5,10,1,9,1,11,4,16,1,9,5,11,1,9,2,11,1,10,1,9,1,11,2,16,1,9,2,11,1,16,1,9,1,17,1,11,1,9,1,11,1,9,1,11,2,10,1,9,1,16,2,11,1,16,1,11,3,9,1,16,1,9,2,11,1,16,1,11,1,8,1,9,2,16,1,8,1,11,1,9,1,11,1,9,1,11,2,10,1,9,1,10,1,9,1,11,4,16,1,11,1,16,4,11,1,9,2,11,2,10,1,8,2,11,2,9,1,11,1,16,1,13,1,16,2,11,2,16,1,9,2,16,1,9,1,13,1,9,1,13,1,9,2,13,1,8,1,9,2,13,1,11,1,13,1,9,2,10,1,9,4,13,1,9,6,11,1,9,3,11,1,9,1,13,1,9,4,13,1,9,2,13,1,9,3,13,1,10,1,9,2,11,1,9,2,11,1,9,1,11,2,9,1,11,1,16,1,9,1,11,1,16,1,11,2,16,8,17,2,16,1,17,1,16,2,17,1,16,1,17,1,11,2,17,1,16,1,17,1,16,1,17,1,16,4,11,2,16,1,11,2,10,1,17,1,11,1,10,1,9,7,13,2,9,1,8,1,13,2,9,3,13,2,33,73,5,439,28,2,7,1,28,6,5,27,9,1,28,27,9,1,16,2,9,3,8,2,9,1,13,1,9,3,13,1,9,5,8,1,9,1,8,1,10,1,9,2,11,1,10,1,11,2,10,1,11,2,9,1,8,2,16,1,17,1,13,1,5,148,28,13,6,1,13,2,6,2,13,2,28,1,30,1,13,3,30,1,13,1,28,1,13,1,30,1,6,2,28,6,30,1,28,13,30,1,28,1,6,1,30,1,28,2,30,1,28,2,30,1,28,5,30,1,13,2,30,1,6,1,28,1,6,5,28,1,30,1,6,2,13,1,30,2,6,2,5,63,33,7,30,2,9,1,13,3,6,1,7,1,13,3,7,1,6,1,13,1,6,1,13,1,29,1,6,3,30,2,28,1,29,2,6,1,30,1,6,1,29,1,6,1,28,1,29,1,30,1,6,1,30,1,28,1,6,1,28,1,6,2,30,1,7,1,6,1,28,1,6,1,28,1,30,1,6,3,30,1,6,1,30,2,7,1,29,2,7,1,6,1,13,1,7,1,6,3,7,1,13,1,7,2,13,1,7,3,13,2,7,1,8,1,7,1,8,1,13,6,6,1,13,1,9,1,8,1,13,2,33,4,5,201,13,1,28,9,6,1,13,1,11,1,17,1,16,1,11,1,9,2,13,1,6,1,28,1,7,1,29,1,6,1,9,3,16,1,17,1,7,1,28,6,9,1,14,1,12,1,8,1,13,1,7,1,6,1,30,1,28,25,13,1,14,1,17,1,11,1,13,1,24,1,9,4,8,1,29,2,28,2,30,1,6,1,8,2,9,1,7,1,28,1,}, {6,1,28,1,30,1,29,2,6,2,10,1,9,2,13,2,6,1,7,1,13,1,8,1,14,1,13,1,30,1,28,31,30,1,28,2,30,1,28,1,29,1,6,1,13,1,9,1,24,1,9,1,10,1,17,1,9,1,6,1,28,1,30,1,28,3,24,1,12,1,17,1,24,2,9,1,11,1,9,1,24,1,9,1,24,1,7,1,13,1,8,1,14,1,9,1,13,1,6,3,13,1,17,4,10,1,11,1,17,1,9,2,8,1,12,1,17,2,12,1,17,1,16,2,17,3,7,1,13,1,6,3,28,7,30,1,28,12,6,1,12,1,11,1,9,1,17,1,16,1,17,1,11,1,9,1,6,2,30,1,7,1,6,2,13,1,11,1,17,1,12,1,9,2,8,1,13,2,8,1,13,1,24,1,8,1,13,1,6,1,24,2,8,2,29,1,28,2,30,1,28,7,30,1,28,2,30,1,9,1,11,1,9,1,17,2,16,1,17,1,16,13,17,4,16,1,17,2,16,3,11,1,16,3,9,1,11,1,16,2,11,2,16,3,11,1,17,1,16,2,17,1,16,3,17,1,11,1,16,1,11,1,17,1,16,8,17,1,16,8,11,1,16,3,11,3,16,1,11,2,16,1,9,1,16,1,11,4,16,1,10,1,16,1,9,1,16,2,11,3,16,1,17,1,16,1,11,2,17,2,16,1,11,1,17,1,16,1,17,1,16,1,11,1,16,3,11,1,17,1,16,2,17,1,16,2,17,2,16,1,17,2,16,1,17,4,16,3,17,11,16,6,11,1,16,6,11,2,16,1,11,2,16,1,11,4,10,1,11,3,9,1,10,1,11,3,16,2,11,1,9,1,11,4,16,1,9,1,11,3,16,2,11,2,9,1,11,1,9,3,11,2,17,1,9,1,8,2,13,1,30,2,8,1,30,1,28,1,6,1,29,1,7,1,30,1,6,1,28,2,30,1,28,5,30,1,28,1,29,1,26,1,29,1,28,1,29,1,28,313,30,1,28,5,30,1,29,1,8,1,9,1,16,2,8,1,11,1,9,1,16,1,17,1,11,1,16,2,9,1,11,1,13,1,16,1,9,1,10,1,11,1,9,1,16,1,11,1,13,1,11,2,9,2,16,1,9,2,11,1,8,1,9,2,13,1,8,1,9,1,8,1,9,2,13,1,9,1,13,1,11,1,13,1,9,1,11,1,13,2,9,1,13,1,16,1,9,2,16,1,9,2,11,1,9,4,11,1,9,3,13,1,11,1,9,1,11,1,16,1,9,1,16,1,9,2,11,1,9,2,13,1,8,1,9,3,11,1,16,1,9,3,16,1,9,1,11,1,8,1,11,1,9,2,13,2,8,2,13,1,8,1,13,2,9,2,11,1,9,1,16,2,9,1,11,1,13,1,11,2,17,1,9,1,16,1,9,2,17,1,11,1,17,1,11,1,10,1,17,1,11,1,9,1,8,1,10,1,9,1,13,1,9,4,10,1,11,1,9,1,16,2,10,1,9,1,11,1,10,1,16,1,8,1,9,1,11,1,9,1,11,5,16,1,11,4,16,1,11,1,8,1,11,1,9,1,10,1,11,1,9,4,11,4,9,3,16,1,9,1,16,2,11,1,16,1,11,2,16,1,10,1,11,2,9,1,11,2,9,5,10,2,11,1,16,1,10,1,9,1,10,1,9,6,11,3,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,3,10,1,11,1,16,2,11,2,9,1,16,1,11,2,9,1,16,1,9,1,11,2,9,1,16,1,9,3,11,2,9,1,11,1,9,3,13,1,9,1,13,1,9,5,13,1,9,6,13,1,8,1,13,1,9,1,11,1,9,15,13,1,8,1,9,1,13,2,9,2,11,1,9,4,10,1,9,1,11,1,9,1,11,1,9,4,16,1,11,2,16,4,17,4,16,9,11,1,17,2,16,1,11,1,16,6,11,6,16,1,11,1,9,11,13,1,8,2,9,2,13,2,33,72,5,440,28,2,6,1,28,4,5,29,13,1,28,26,6,1,16,2,11,1,9,7,13,1,9,1,8,1,9,1,8,1,9,1,8,1,11,1,9,3,11,1,9,1,10,1,9,2,11,2,10,1,9,2,10,1,9,2,16,1,17,1,5,148,28,5,6,1,28,7,30,1,13,1,6,1,13,1,30,1,28,2,30,1,6,1,13,1,30,1,13,1,6,1,13,1,30,1,13,2,6,1,13,2,6,2,30,1,28,2,30,1,28,2,30,1,28,23,30,2,6,1,13,1,30,1,6,2,30,1,28,1,6,1,30,2,6,1,13,1,6,3,30,1,6,2,30,1,28,1,33,1,5,64,33,6,30,1,28,1,13,5,6,1,7,1,13,1,7,3,6,1,13,1,29,1,7,1,6,1,30,1,29,1,30,2,7,1,30,1,6,2,29,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,7,1,29,1,30,1,28,1,29,3,30,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,7,1,13,1,6,1,7,1,6,1,7,1,13,1,6,1,7,1,13,1,7,1,6,4,7,2,13,1,6,1,7,1,13,3,7,4,6,1,7,1,6,1,7,1,13,6,33,5,5,199,13,1,28,9,30,1,9,1,16,1,17,1,11,1,24,1,13,1,8,1,24,1,7,1,30,1,28,1,6,2,9,3,17,1,16,1,7,1,28,6,9,1,14,1,9,1,13,1,8,1,29,1,6,1,29,1,28,25,11,1,14,1,16,1,9,3,12,1,10,1,9,1,8,1,7,1,6,1,30,1,28,1,30,1,28,1,30,1,13,1,24,1,10,1,9,1,28,1,}, {6,1,30,1,6,1,29,2,28,1,7,1,12,1,17,1,10,1,8,1,13,1,29,2,8,1,24,1,15,1,13,1,6,1,28,31,29,1,28,2,6,1,30,1,6,1,24,2,9,2,10,1,12,1,17,1,9,1,6,1,30,2,28,1,30,1,28,1,24,1,17,2,9,4,24,1,6,1,9,1,8,1,29,1,6,1,9,1,15,1,8,1,13,1,30,1,6,1,30,1,29,1,17,3,12,1,9,1,17,1,9,1,16,1,8,1,9,2,12,1,10,1,12,2,11,1,17,1,16,1,17,2,29,1,6,2,13,1,30,1,6,1,29,1,30,2,28,16,6,1,8,1,10,1,12,1,17,3,14,1,8,1,7,1,6,1,7,1,28,1,29,1,6,1,24,1,17,1,10,1,17,1,13,1,7,1,8,2,13,2,8,1,13,4,9,1,8,1,9,1,8,1,29,1,28,10,30,1,6,1,28,1,7,1,10,1,11,1,17,1,16,2,17,1,16,2,11,2,16,7,17,1,16,1,17,1,16,3,17,1,16,4,11,1,16,1,11,4,9,1,16,1,9,1,16,1,11,1,16,7,17,1,16,1,17,1,16,2,17,1,16,4,17,1,16,1,17,4,16,2,17,2,16,3,17,1,16,3,11,2,9,1,16,1,9,2,11,2,16,1,11,1,16,1,9,1,16,1,9,2,11,1,16,1,11,2,9,1,11,4,16,1,9,1,16,2,11,3,16,2,17,3,16,1,17,1,16,3,17,1,11,1,16,6,17,2,16,1,17,1,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,3,16,1,17,6,16,2,17,1,11,1,17,1,16,2,11,1,16,3,10,1,16,1,11,1,16,3,11,5,9,2,11,5,9,2,11,1,16,1,9,1,11,2,9,1,11,1,9,3,11,2,9,2,11,4,9,1,10,1,11,2,9,2,11,1,9,1,11,1,9,1,8,2,6,1,7,1,29,1,13,1,6,3,30,1,6,1,29,2,6,2,30,1,28,7,30,1,28,114,13,1,28,203,29,3,30,1,6,1,9,1,30,1,8,1,17,1,16,6,11,2,9,2,13,1,9,2,16,1,9,2,16,1,11,1,9,1,13,1,9,2,13,1,11,1,9,1,11,1,9,4,13,1,9,1,13,1,9,2,13,2,9,1,13,1,9,1,13,2,8,1,9,3,6,1,16,1,9,1,13,1,11,1,8,1,11,1,13,2,9,5,11,1,9,2,11,1,13,1,9,1,8,1,11,2,9,3,10,1,9,2,11,1,9,2,11,3,17,1,10,1,11,1,9,1,10,1,13,1,11,1,9,3,13,1,11,1,9,1,11,1,9,1,8,1,9,1,13,2,9,2,11,1,17,1,11,2,9,1,11,1,9,2,10,1,11,3,17,1,11,3,9,1,11,1,16,1,17,1,9,1,13,1,9,3,10,1,8,1,11,1,9,1,16,1,11,1,9,1,11,1,10,2,13,1,10,2,9,1,11,7,10,2,9,4,11,1,9,5,11,1,9,1,8,1,9,1,11,1,9,1,11,3,10,1,13,1,8,1,11,2,16,2,11,1,16,1,11,1,16,2,10,1,9,1,11,1,10,2,9,1,11,1,9,2,10,1,11,3,9,1,11,2,9,1,11,1,10,1,9,1,11,1,9,1,11,3,8,1,9,1,10,1,11,1,9,2,11,1,9,1,16,1,9,1,11,1,9,3,11,1,10,1,9,1,11,1,10,1,11,1,9,2,11,1,9,3,11,2,10,1,11,2,9,1,11,1,9,1,11,1,9,6,13,1,9,2,8,1,9,3,16,1,9,4,13,1,11,2,10,1,9,1,11,1,16,1,9,4,8,1,9,4,10,1,9,9,13,1,9,4,8,1,11,1,9,5,13,1,11,1,9,1,11,1,9,2,16,1,9,2,11,2,16,4,17,1,16,2,11,1,16,3,17,1,16,3,11,1,17,1,16,8,11,3,16,2,11,3,9,1,11,1,9,10,13,1,9,2,13,1,9,2,33,73,5,440,28,6,5,31,13,1,6,1,28,23,13,1,16,2,17,1,11,1,9,3,13,1,8,5,9,9,11,1,10,1,9,2,11,1,10,1,9,1,10,1,9,4,11,2,16,1,5,146,33,1,28,1,13,1,30,2,6,1,13,1,28,1,6,1,28,3,13,4,6,3,30,1,13,1,6,2,13,1,6,2,30,1,13,2,30,1,6,2,13,7,6,1,28,21,30,1,28,4,30,1,28,3,6,1,28,1,30,3,13,1,6,1,13,1,6,1,13,3,6,2,30,1,6,1,13,2,30,1,5,65,33,7,28,1,13,2,7,1,13,1,7,1,6,1,30,1,13,1,29,1,13,1,6,1,7,1,6,2,29,1,6,1,30,1,6,1,30,4,29,1,30,2,6,1,28,1,29,2,30,2,6,1,28,1,6,1,30,1,6,1,29,2,6,2,30,2,6,1,30,1,6,2,29,1,6,1,29,1,7,1,28,1,29,1,13,1,6,1,8,1,6,2,7,3,29,1,7,1,6,3,7,1,6,2,8,1,13,1,7,2,6,1,13,1,7,1,6,1,7,1,13,4,7,1,6,1,13,4,9,1,13,1,33,4,5,198,6,1,28,10,13,1,16,1,17,1,10,1,24,1,10,1,24,1,13,1,29,1,30,2,28,1,6,1,9,1,8,1,13,1,17,2,30,1,28,6,9,1,17,1,11,1,13,1,8,1,13,1,7,1,30,1,28,25,11,1,14,1,17,1,11,1,9,1,8,1,13,1,9,2,8,1,13,1,6,1,29,1,30,1,6,1,29,1,7,1,13,1,11,1,17,1,9,1,28,1,}, {6,1,28,2,30,1,6,1,29,1,6,1,17,1,12,1,24,1,8,2,24,1,6,1,13,1,8,1,9,1,6,1,29,1,28,31,30,1,29,1,28,1,30,1,28,1,29,1,6,1,9,1,24,1,9,2,11,1,17,1,9,1,6,1,30,1,28,4,6,1,9,1,10,1,9,1,8,1,13,2,8,1,13,1,9,1,8,1,6,1,7,1,9,1,14,1,24,1,8,1,6,2,30,1,7,1,12,1,17,1,16,2,9,1,17,1,16,2,13,2,24,1,17,1,16,1,17,1,12,1,16,1,17,4,30,1,13,1,28,1,30,2,28,1,30,2,28,2,30,1,28,14,29,1,9,1,10,1,9,1,12,1,17,2,14,1,13,1,29,1,6,2,29,1,6,1,7,1,8,1,12,1,9,1,24,1,8,1,9,1,8,1,13,1,24,1,8,2,24,1,8,3,13,1,9,1,11,1,8,1,30,1,28,13,8,1,9,1,11,1,17,3,16,4,11,1,16,2,17,1,16,9,17,1,16,8,11,1,9,1,16,1,9,1,16,1,11,1,16,2,17,1,11,1,17,1,16,1,17,1,16,7,11,1,16,1,11,1,16,7,17,2,16,5,11,3,9,2,16,2,11,1,16,1,11,2,16,1,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,2,9,1,11,1,9,1,11,4,16,1,11,3,16,4,11,3,16,2,11,1,16,4,11,2,16,4,17,1,16,3,17,1,16,1,17,2,16,2,17,13,11,1,16,3,11,1,17,1,16,1,17,1,16,4,11,2,16,2,10,1,16,1,11,1,16,2,11,1,16,1,11,1,10,1,16,1,11,3,10,1,11,1,16,1,9,1,11,2,9,1,11,4,9,2,11,3,9,3,11,3,8,1,11,2,10,1,11,2,9,1,11,1,16,1,11,2,9,2,8,1,13,1,8,3,13,2,6,2,29,1,30,1,29,1,28,3,29,1,28,1,30,1,28,1,30,1,28,2,29,1,26,1,28,1,29,1,28,15,30,1,28,298,29,1,30,2,28,1,7,1,6,1,29,1,13,1,7,1,13,1,8,1,9,2,16,1,17,1,16,1,11,1,16,1,11,1,9,2,16,1,17,1,11,1,16,2,11,1,10,1,11,1,9,3,13,1,9,1,8,1,9,3,11,1,9,3,13,2,11,1,13,1,9,1,13,1,11,1,9,2,13,1,11,1,13,1,9,1,13,2,9,1,11,1,13,2,9,1,11,1,9,2,8,2,9,4,13,1,9,2,16,2,10,1,8,1,9,4,11,1,8,1,13,1,16,1,9,1,11,1,10,1,13,1,9,1,10,1,9,1,8,1,9,1,8,1,13,1,9,2,17,1,9,2,8,1,9,1,8,1,13,1,9,1,10,1,13,1,9,1,8,1,9,2,11,1,10,1,13,1,9,1,8,1,13,1,9,1,13,1,9,3,16,4,17,2,9,1,11,1,8,2,13,1,9,1,13,1,9,2,16,1,9,2,11,1,9,2,11,1,16,1,11,1,10,1,11,1,9,1,11,1,16,1,9,1,10,1,11,1,9,1,10,1,11,1,9,1,10,1,11,1,16,1,9,1,11,3,9,2,13,1,11,1,9,3,11,1,9,2,11,1,9,1,11,1,9,1,11,4,16,1,11,2,9,1,16,2,11,1,9,1,11,1,16,1,11,2,9,2,13,1,9,5,11,2,9,3,11,4,9,2,11,1,13,1,16,1,11,1,9,1,11,1,10,1,9,1,11,1,9,4,11,1,9,3,10,1,9,6,11,2,9,1,8,1,10,1,9,1,16,1,9,1,13,1,16,2,9,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,4,11,1,9,4,11,1,10,1,9,1,13,1,16,1,11,1,9,1,11,2,9,1,8,1,11,1,9,8,13,1,9,4,13,1,8,1,9,4,11,1,9,3,8,1,10,1,9,1,11,1,9,2,11,1,9,1,11,2,10,1,9,2,11,4,16,9,17,1,16,1,17,1,16,1,17,1,16,1,17,1,11,1,16,2,17,1,11,1,16,4,11,2,16,1,9,2,13,2,9,2,13,1,9,1,13,1,9,3,13,1,9,3,13,1,9,5,33,72,5,440,13,1,6,1,28,3,5,32,33,1,30,3,6,1,28,2,30,1,28,12,33,2,5,5,9,1,16,2,9,4,13,1,9,1,8,1,9,1,8,1,9,1,13,1,9,2,10,1,8,1,9,3,11,1,9,1,11,2,9,1,11,2,10,1,9,2,11,1,9,1,11,1,16,1,5,141,33,1,30,1,28,3,6,2,13,1,6,1,13,1,6,1,13,4,6,3,30,1,13,1,9,1,6,1,13,1,29,1,6,2,13,3,30,1,13,6,6,3,13,2,6,1,13,1,6,1,13,3,30,1,13,1,28,11,30,1,28,10,6,1,28,4,30,4,6,1,30,1,13,1,6,1,30,1,6,2,13,1,6,1,13,1,6,1,30,1,6,1,28,1,6,1,30,1,33,1,5,62,33,8,6,1,13,1,9,1,13,1,6,1,13,1,8,2,6,1,8,1,13,1,6,3,29,2,6,1,29,1,6,2,7,1,30,1,29,1,7,1,28,1,30,3,6,1,30,2,28,1,6,1,30,3,29,1,30,1,29,3,30,1,28,1,7,1,6,1,29,1,6,1,29,1,7,1,6,1,7,1,6,5,7,1,13,1,6,1,7,3,6,1,7,1,6,1,30,1,6,1,13,1,6,1,7,10,13,2,7,2,13,6,33,5,5,197,6,1,28,10,6,1,16,1,17,1,12,1,9,2,24,1,6,1,7,1,30,1,29,2,6,1,24,1,9,1,10,3,7,1,28,6,9,1,17,1,10,1,6,1,8,1,30,1,6,1,30,1,28,25,9,1,17,1,16,1,9,1,11,1,9,1,11,1,12,1,9,1,13,1,6,2,30,1,28,2,30,2,29,1,12,1,11,1,6,1,28,1,}, {6,1,28,1,30,3,6,1,29,1,17,1,24,1,8,2,7,1,13,2,6,1,8,1,24,1,13,1,28,37,29,1,6,1,24,1,9,1,24,2,15,1,14,1,10,1,30,1,6,1,28,1,29,1,28,1,30,1,7,1,12,1,17,1,24,2,13,2,30,1,8,2,24,1,6,1,7,1,24,1,14,1,9,1,7,1,6,2,29,1,8,1,15,1,17,2,12,1,16,1,17,1,16,1,10,1,9,1,24,1,13,1,17,1,12,1,17,1,16,1,11,1,17,4,13,1,30,2,28,2,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,11,13,1,8,1,10,1,9,1,17,1,16,1,12,1,14,1,8,1,7,1,6,1,30,1,6,1,29,1,6,1,8,1,10,1,9,1,12,1,13,1,11,1,13,1,9,1,13,3,24,1,13,1,8,1,24,1,9,2,12,1,13,1,30,2,28,10,30,1,28,1,29,1,9,1,11,2,17,1,11,1,16,1,17,1,16,12,11,1,16,2,11,1,16,2,17,2,16,1,17,1,16,1,17,2,16,4,11,2,9,1,16,2,17,1,16,1,17,1,16,1,17,2,16,2,11,1,17,1,11,1,16,7,11,1,16,2,11,1,16,2,11,2,16,2,11,1,16,2,11,1,16,1,11,1,16,1,11,2,9,1,11,3,9,1,11,1,10,4,9,3,11,1,9,2,11,3,16,1,11,3,16,1,11,2,16,1,11,2,17,2,16,1,17,2,16,8,17,1,16,3,11,1,17,1,16,1,17,3,16,1,17,1,16,1,17,3,16,2,17,2,16,1,17,1,16,1,17,1,16,4,11,1,16,2,17,1,16,5,11,2,17,1,11,2,9,1,16,2,11,1,16,1,11,1,16,3,9,1,16,1,11,3,16,1,11,1,9,1,11,9,9,1,10,1,11,1,9,1,11,1,9,1,11,8,16,1,9,1,11,3,17,1,16,1,8,1,9,1,8,3,13,1,6,2,7,1,6,1,30,2,28,5,30,1,28,2,27,1,28,1,30,1,28,1,29,1,28,110,30,1,28,207,13,1,28,1,29,1,7,1,6,1,29,1,13,3,8,1,13,1,9,3,16,3,17,2,9,1,11,1,16,2,9,4,11,1,9,1,13,1,9,1,13,1,9,1,13,1,16,2,11,1,9,4,6,1,9,1,13,2,9,1,13,1,8,1,9,3,13,1,9,1,8,1,9,3,16,1,9,2,11,1,9,2,11,1,13,2,8,1,9,4,13,1,9,10,11,3,9,1,10,1,11,2,9,1,10,1,8,1,9,4,16,1,17,1,9,2,13,3,16,1,11,1,9,2,11,1,9,2,11,1,9,3,11,1,9,1,13,3,9,1,11,2,17,1,10,1,16,1,17,2,11,3,9,1,13,1,9,2,10,1,8,1,11,1,8,1,10,1,9,1,11,1,9,4,11,1,9,1,11,1,9,2,10,1,16,1,11,2,9,1,13,1,10,1,11,4,9,7,13,1,10,1,9,1,11,1,9,2,10,1,11,1,9,3,11,1,9,1,11,1,16,2,9,1,11,2,8,1,9,1,11,1,10,1,11,1,16,1,10,1,11,3,9,1,10,1,9,2,11,1,10,1,9,2,11,2,9,2,11,2,10,1,11,1,9,1,11,1,9,1,13,1,11,1,9,1,11,1,8,1,11,1,9,1,11,1,9,1,11,1,13,1,10,1,8,1,9,5,8,1,9,1,11,1,9,1,16,1,9,2,11,1,13,1,16,1,9,2,11,1,9,4,11,1,9,1,11,1,9,2,11,1,16,1,11,3,9,1,11,1,9,1,11,1,10,1,9,1,11,1,9,2,11,1,9,1,11,1,8,1,16,1,9,1,13,1,9,10,11,1,9,1,13,1,9,1,11,1,9,14,11,1,9,1,11,2,9,2,11,2,9,3,16,1,9,1,16,4,17,1,16,4,17,1,16,1,17,1,16,1,17,2,16,3,17,1,16,2,17,1,16,2,11,1,16,1,11,1,9,1,11,1,9,3,13,1,9,4,11,2,9,2,11,1,9,1,11,1,9,4,5,1,33,71,5,442,13,1,28,1,33,1,5,60,13,1,16,1,11,1,9,5,8,2,13,1,9,1,8,2,9,5,12,1,9,1,10,1,9,3,10,1,9,2,11,3,9,1,13,1,16,1,9,1,5,130,33,1,28,9,30,1,28,1,30,1,6,1,30,2,13,1,6,1,13,2,6,4,30,1,6,1,30,1,28,1,30,1,28,5,29,1,28,3,6,1,30,2,6,1,13,1,6,2,13,7,6,1,13,1,6,2,13,1,30,1,13,2,30,1,28,1,30,1,28,10,30,1,28,3,30,1,28,3,13,1,30,1,28,2,6,1,28,1,6,1,30,1,6,1,30,1,13,2,30,1,13,1,6,1,13,1,30,2,6,2,30,1,6,1,30,2,28,1,30,1,6,1,5,63,33,7,30,1,28,1,13,2,6,1,13,1,7,1,13,1,7,1,13,1,7,1,6,4,7,2,6,1,30,1,29,1,6,1,30,1,29,1,30,1,6,2,29,1,6,2,28,1,29,1,6,1,28,1,7,1,30,2,28,1,30,2,6,1,29,1,6,1,30,2,29,1,6,1,13,1,7,1,29,1,6,1,7,1,6,1,7,1,13,1,6,2,7,1,6,2,29,1,6,2,29,1,7,1,13,1,7,1,6,1,7,1,6,1,7,4,13,3,6,1,13,2,7,3,13,1,8,1,13,6,33,5,5,195,6,1,28,10,6,1,16,1,17,1,11,1,10,1,8,1,13,1,6,3,28,1,13,1,29,1,9,1,24,1,9,2,24,1,28,7,16,1,17,1,10,1,7,1,6,1,13,1,7,1,28,26,14,2,16,1,12,2,13,1,9,1,11,1,8,1,29,1,13,2,30,3,28,1,30,1,13,1,12,2,13,1,28,1,}, {6,1,28,1,29,2,30,1,29,1,6,1,9,1,12,2,13,1,8,1,13,1,29,1,13,2,12,1,8,1,28,33,30,1,28,2,30,2,24,2,8,1,24,1,10,1,15,1,14,1,15,1,28,1,29,2,28,3,7,1,17,2,12,1,8,2,13,2,9,1,13,1,10,1,6,2,24,1,14,1,24,1,13,1,6,1,30,1,29,1,6,1,15,1,17,2,16,1,11,1,17,1,16,1,9,2,13,1,24,1,17,3,16,1,10,1,11,1,17,3,29,1,13,1,28,1,29,1,28,2,30,1,28,1,30,1,28,4,30,1,28,11,6,1,11,1,9,1,24,1,16,1,10,1,14,2,8,1,13,1,30,1,29,1,30,1,6,2,9,1,24,1,10,1,17,1,10,1,9,1,11,1,8,1,13,3,6,1,8,1,9,1,8,2,24,1,12,1,24,1,28,1,30,1,28,13,10,1,11,1,17,1,16,1,11,1,17,1,16,1,11,1,16,4,17,1,16,4,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,2,17,2,11,1,17,2,16,6,17,1,11,1,16,4,11,1,16,8,11,1,10,1,16,1,11,1,16,1,11,1,16,3,17,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,10,1,11,1,8,1,9,1,11,1,8,1,9,1,13,1,9,3,11,1,10,1,9,2,10,1,11,1,9,1,16,3,10,1,9,1,11,1,16,1,11,2,16,1,11,1,16,1,11,2,16,5,17,2,16,1,17,1,16,2,17,1,16,3,17,1,11,1,17,1,16,3,17,2,16,2,11,1,17,1,16,1,17,1,11,1,17,1,11,1,17,2,16,2,17,1,16,1,17,2,16,4,17,3,16,10,11,1,16,2,17,1,16,3,9,1,16,1,11,1,16,1,10,1,11,1,16,1,11,4,9,1,11,4,9,2,10,1,9,1,11,2,9,2,11,1,9,2,11,2,10,1,11,1,9,2,16,1,9,2,11,1,16,1,11,1,9,2,8,3,7,1,13,1,6,1,29,1,28,2,29,1,30,1,28,2,29,1,30,1,28,1,29,2,30,3,28,110,6,1,28,206,30,1,29,2,6,1,29,1,7,1,6,3,13,2,6,1,29,1,6,1,30,1,6,2,28,1,6,1,8,1,10,2,11,1,9,1,17,1,8,1,10,1,9,1,10,1,13,1,9,3,13,3,11,2,9,1,13,2,9,1,13,1,9,2,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,3,9,1,13,1,9,1,13,1,8,1,11,1,8,1,9,1,11,1,9,7,13,1,11,1,8,1,11,1,9,2,8,1,16,1,9,3,8,1,9,1,11,1,9,2,11,3,9,4,11,1,9,1,13,1,11,1,16,1,17,1,11,1,9,1,13,2,9,2,16,1,13,1,16,1,8,2,11,1,13,1,8,1,13,1,7,1,9,2,8,1,9,2,13,1,10,1,11,1,16,1,10,1,9,1,17,1,16,1,17,1,9,3,8,1,9,2,11,3,9,3,11,1,9,1,11,1,9,4,11,1,9,4,10,1,16,1,9,2,16,1,10,1,9,1,11,1,9,1,11,1,10,1,9,3,11,1,9,1,13,1,11,1,9,2,10,1,11,1,9,1,11,1,16,1,9,7,10,1,11,1,9,1,11,1,9,2,11,1,10,1,11,1,9,1,11,4,16,1,10,1,11,1,9,1,11,1,9,1,8,1,11,1,9,4,11,2,9,1,11,1,9,1,11,2,9,2,10,1,9,8,16,1,11,1,9,3,11,2,13,1,9,2,11,1,9,1,10,1,11,1,9,2,10,1,13,1,11,4,9,3,11,1,9,3,11,1,16,1,9,1,16,1,10,1,11,1,9,1,16,1,11,2,16,1,9,5,11,3,9,2,11,1,9,2,13,1,11,1,9,2,11,1,8,1,9,1,13,1,9,1,16,1,9,1,11,2,9,1,11,1,9,6,11,2,9,1,11,1,9,4,13,1,9,11,11,2,16,1,11,1,16,6,17,2,16,3,17,1,16,1,17,1,16,2,17,1,16,3,11,2,13,1,9,1,8,1,9,2,11,2,9,1,11,1,9,1,11,3,9,1,11,3,9,1,13,1,9,2,33,72,5,504,13,1,9,1,11,1,10,1,13,1,9,1,8,2,9,1,8,1,9,2,8,1,9,1,8,3,9,9,10,1,9,4,8,1,11,1,9,1,5,129,28,8,6,3,28,1,6,1,13,2,6,2,13,4,6,2,13,1,30,1,6,2,30,1,6,1,28,1,6,1,13,1,30,2,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,4,30,2,28,1,13,3,9,1,13,1,28,1,13,1,6,1,13,1,6,1,13,1,30,1,6,3,30,1,28,20,30,1,28,2,6,2,13,1,6,1,30,2,28,1,6,2,30,1,28,1,30,1,6,3,30,1,6,1,28,1,30,2,33,1,5,63,33,7,28,2,13,2,7,1,13,1,6,1,7,1,6,1,7,2,6,2,7,1,13,1,6,1,7,1,28,1,7,1,29,2,6,1,29,1,6,1,30,4,28,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,2,29,1,30,1,6,3,29,2,30,2,7,1,6,4,29,1,7,1,6,1,7,1,6,3,29,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,13,1,7,2,6,1,7,2,6,1,29,1,7,2,13,6,6,1,13,3,33,3,5,195,13,1,28,9,30,1,7,1,16,1,17,1,9,1,10,1,13,1,9,1,6,1,8,1,6,1,30,1,29,1,6,1,8,3,9,1,11,1,6,1,28,5,30,1,12,1,17,1,8,1,13,3,6,1,29,1,28,25,14,1,17,1,16,1,11,1,9,3,8,2,6,1,13,1,29,1,28,2,30,1,28,1,6,1,24,1,11,1,12,1,13,1,28,1,}, {30,1,28,2,30,1,28,2,29,1,9,1,17,1,24,1,8,1,13,1,8,1,7,2,24,1,9,1,8,1,28,34,30,1,28,2,30,1,13,2,12,2,24,1,9,1,14,2,30,1,28,1,30,1,28,2,29,1,6,1,17,1,12,1,11,1,13,2,8,2,12,1,9,2,13,1,30,1,13,1,15,1,9,1,8,1,13,1,30,2,6,1,11,1,17,1,16,1,12,1,17,1,10,1,17,1,10,1,9,2,16,1,12,2,16,1,9,1,16,1,17,4,6,2,28,4,30,2,29,1,28,16,29,1,24,1,9,2,12,1,16,2,11,1,8,1,30,2,6,2,28,1,29,1,9,1,11,1,17,1,12,1,11,2,9,1,8,2,13,1,8,1,9,1,13,1,24,1,8,1,24,2,10,1,8,1,30,1,29,1,28,12,8,1,12,1,11,1,17,1,16,1,17,1,11,2,16,2,11,1,16,4,17,1,16,2,17,1,11,1,16,2,17,1,16,1,17,5,16,1,17,3,16,2,17,1,11,1,9,1,16,6,17,1,16,2,17,1,11,4,16,1,10,1,9,3,8,1,9,1,11,3,9,2,10,1,11,1,9,1,11,4,9,2,13,1,11,1,9,2,13,1,9,1,8,1,10,1,9,3,13,1,9,1,8,1,9,1,11,2,9,1,11,3,16,1,9,1,16,1,11,1,16,4,11,1,16,1,11,2,17,1,16,1,11,3,16,1,11,1,16,2,17,1,16,1,11,1,16,1,11,1,16,1,17,1,16,4,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,4,17,2,16,1,17,5,9,1,11,1,16,2,17,1,16,3,11,1,16,3,11,1,16,3,9,1,16,2,9,2,16,1,11,2,16,1,11,1,16,1,9,1,11,1,17,1,9,1,16,1,11,3,9,1,11,2,16,1,9,4,10,1,9,1,11,1,9,6,11,2,9,1,11,1,9,1,11,2,9,1,11,1,9,1,16,1,17,1,12,1,9,1,8,3,24,1,6,1,7,1,6,1,29,1,6,1,29,1,30,1,6,1,30,1,28,2,30,1,28,3,29,1,28,1,30,1,28,2,30,1,28,18,30,1,28,86,29,1,28,209,29,2,30,2,29,1,6,1,7,2,13,1,30,1,28,4,30,1,28,2,6,1,30,1,8,1,12,1,8,2,11,1,10,1,13,1,11,2,9,1,13,1,9,1,13,2,9,3,11,1,13,1,8,1,9,7,8,1,13,2,9,2,13,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,13,5,11,1,13,1,9,2,11,1,9,1,13,1,9,2,13,1,11,2,8,1,16,1,11,2,10,1,11,1,9,1,11,1,9,2,16,1,11,1,9,4,13,1,9,3,16,1,9,1,8,1,9,1,8,1,13,1,6,1,13,1,9,1,13,1,9,3,11,1,9,4,16,1,11,1,9,2,11,2,10,1,17,1,16,1,17,1,16,1,9,2,11,3,9,2,11,6,9,2,16,2,9,1,11,1,9,1,11,2,9,1,11,1,9,2,8,1,11,1,9,3,11,1,9,3,11,3,9,2,11,4,9,2,11,1,10,1,9,2,11,2,9,3,16,1,9,1,11,1,8,1,11,1,16,1,9,1,16,1,9,1,8,1,11,1,9,1,11,1,16,1,9,2,16,1,9,1,10,1,11,1,9,1,10,1,8,1,9,4,11,1,13,2,9,5,13,1,9,7,8,1,11,1,9,3,13,1,11,1,9,1,13,1,9,5,11,1,9,4,11,1,9,1,10,1,9,1,11,1,9,3,8,1,11,1,9,2,16,1,11,2,9,3,11,3,9,3,8,1,9,2,10,1,11,2,9,3,13,1,9,2,13,1,9,1,13,1,11,1,9,1,13,1,9,1,13,1,9,4,13,1,16,1,9,4,11,1,13,1,8,1,11,1,9,2,11,1,9,1,13,1,9,3,8,1,9,5,16,1,9,3,11,2,9,2,11,1,16,1,11,1,16,1,17,1,16,2,11,1,17,1,16,5,17,1,16,2,11,1,9,1,11,1,16,2,17,1,16,2,11,1,10,1,11,1,9,3,11,5,16,3,9,1,11,1,9,3,13,2,9,1,13,1,33,69,5,504,13,1,30,1,9,1,11,1,9,2,8,1,9,5,13,1,8,1,9,8,11,1,9,1,10,1,9,3,10,1,9,1,10,1,9,2,11,1,16,1,5,122,33,2,13,1,28,6,30,1,6,1,13,1,6,1,30,2,6,1,13,2,6,2,8,1,6,1,13,2,6,1,13,1,6,2,30,1,13,1,30,1,6,1,28,1,30,1,28,2,6,1,28,1,6,1,28,2,30,1,13,1,30,4,6,3,30,1,6,2,13,1,28,2,6,1,28,3,30,1,6,2,13,1,6,1,13,1,30,1,13,1,6,1,30,1,6,2,28,1,30,1,6,1,28,1,30,2,28,14,6,1,13,1,28,1,30,1,13,2,30,1,6,1,13,1,28,1,30,1,28,1,30,2,6,1,28,1,6,1,28,1,6,3,28,1,30,1,6,1,33,1,5,63,33,7,28,2,13,1,9,1,13,1,6,2,7,2,6,2,7,1,6,1,29,1,6,2,7,1,6,2,29,1,13,1,29,1,6,1,30,1,29,1,6,1,30,2,29,1,6,1,29,1,6,2,29,1,6,1,30,1,29,1,6,2,29,1,28,1,6,1,30,1,13,1,30,1,6,2,13,1,29,1,6,1,29,1,8,1,6,2,29,1,6,1,7,2,6,1,8,1,6,4,7,1,6,1,7,1,6,4,7,1,6,3,13,1,6,1,7,1,6,2,7,1,13,1,6,1,13,2,7,3,13,3,33,3,5,194,6,1,28,10,6,1,17,2,11,1,8,1,9,3,29,1,30,1,28,1,13,3,8,1,9,2,17,1,30,1,28,5,30,1,10,1,17,1,9,1,13,1,7,1,6,1,30,2,28,25,17,3,9,3,10,1,8,1,24,1,7,2,6,1,28,2,29,1,28,1,6,1,8,1,17,1,10,1,6,1,28,1,}, {6,1,30,1,28,1,6,1,30,2,28,1,24,1,10,1,12,1,24,1,13,1,6,1,8,1,6,1,24,1,11,1,13,1,28,33,30,1,28,4,8,1,24,1,10,1,12,1,10,1,14,2,9,1,13,1,28,1,30,3,29,1,30,1,10,1,17,1,9,1,8,2,9,1,13,1,9,1,15,1,9,1,13,1,6,1,24,1,12,1,15,1,8,1,29,1,7,1,6,2,15,1,17,1,16,1,11,2,16,1,17,1,9,1,10,1,9,1,10,1,17,1,12,1,11,1,9,1,11,2,17,3,9,1,30,2,28,4,30,1,28,2,30,1,28,14,30,1,9,2,10,1,11,1,9,1,10,1,16,1,13,1,6,1,29,1,30,1,28,1,30,1,13,1,8,1,12,2,9,4,10,1,8,1,13,1,8,1,24,1,9,1,8,3,24,1,10,1,8,1,6,1,28,13,9,1,11,2,17,4,16,3,11,2,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,10,16,1,17,1,16,1,17,1,16,2,17,1,16,1,11,1,16,3,11,2,16,1,11,4,9,3,11,1,9,2,10,1,9,1,10,1,9,1,10,1,9,1,11,1,8,1,9,5,13,2,9,5,13,1,9,2,10,1,13,1,11,1,9,2,13,1,9,2,8,1,11,1,9,4,11,1,9,2,11,4,16,1,11,6,16,1,11,6,17,1,16,9,17,2,16,5,17,1,16,4,17,1,16,3,17,5,11,1,17,1,16,1,11,2,16,8,11,1,16,2,9,1,11,1,16,1,17,1,11,1,9,1,17,1,11,1,16,2,11,2,16,1,11,1,16,2,9,1,11,1,9,1,11,3,10,1,11,1,9,1,8,1,10,1,16,2,9,5,11,2,10,2,9,1,10,1,11,2,13,1,9,1,11,4,10,1,11,1,17,1,9,3,24,1,7,1,13,1,6,1,7,1,6,1,28,1,29,2,28,2,29,1,28,1,29,1,28,1,29,1,28,1,29,1,28,2,29,1,28,3,30,2,28,32,30,1,28,3,30,1,28,64,30,1,28,212,30,1,29,1,30,1,29,1,6,1,30,1,7,1,28,1,30,1,28,8,30,1,28,1,30,1,7,1,8,1,9,1,13,1,9,2,8,1,13,1,10,1,9,2,8,1,16,1,9,2,11,1,9,4,13,1,9,2,8,1,9,1,11,1,13,1,11,1,13,1,8,2,9,4,13,1,11,1,9,4,8,1,13,1,9,1,13,1,9,1,13,1,11,1,8,1,9,2,16,1,11,1,9,2,16,1,9,2,11,1,9,4,11,2,9,1,11,3,9,2,11,1,8,1,10,2,11,1,8,1,13,1,11,1,9,2,13,1,9,1,13,2,9,1,13,1,9,1,13,1,11,1,9,4,11,2,16,1,9,1,10,1,16,1,17,2,16,1,17,1,16,1,9,2,11,1,9,2,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,16,2,11,2,9,2,11,3,10,1,16,1,10,1,13,1,10,1,9,1,11,2,9,1,10,1,11,1,9,1,11,1,9,1,11,1,10,1,9,2,11,1,13,1,11,1,9,1,11,1,9,1,10,1,16,1,9,1,11,1,16,1,11,1,10,1,11,3,9,5,10,1,9,2,8,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,2,9,4,11,1,10,1,11,1,10,1,8,1,9,3,8,1,9,1,13,1,11,1,13,1,9,5,8,1,13,4,9,2,11,1,8,2,9,4,11,1,9,2,13,2,9,1,11,1,10,1,11,1,9,2,13,1,9,3,11,1,9,1,8,1,9,3,10,1,9,1,8,1,16,1,10,1,9,1,8,1,9,1,8,1,11,1,9,3,8,1,9,3,13,1,9,4,11,1,9,2,8,1,9,5,13,1,9,1,11,1,9,2,10,1,9,2,11,1,13,1,11,1,9,3,8,1,13,1,10,1,9,1,16,1,13,1,9,3,8,1,9,1,10,1,9,3,11,2,9,4,10,1,11,1,16,1,17,1,16,4,11,2,16,3,17,1,11,1,16,5,17,1,16,1,11,7,16,1,11,1,16,4,11,2,13,1,9,3,13,1,9,1,13,2,33,70,5,503,6,1,13,1,11,1,9,6,8,1,9,1,8,1,9,4,8,1,9,2,13,1,10,2,8,1,9,2,11,1,9,2,8,1,9,1,11,1,9,1,11,1,16,1,5,110,33,3,5,2,30,1,28,3,30,1,28,8,30,1,13,1,6,2,30,1,6,1,30,1,6,1,30,1,13,1,28,1,13,1,28,1,13,1,6,3,13,1,6,1,30,2,28,1,6,1,28,1,6,1,30,1,28,21,30,2,28,6,30,3,13,1,28,1,30,1,28,1,30,2,28,2,30,1,28,20,6,3,30,1,6,4,13,1,30,2,6,1,28,1,30,1,28,6,6,1,28,2,6,1,13,1,30,1,5,63,33,6,28,3,13,2,6,1,7,1,6,5,7,1,13,1,6,2,29,1,6,2,28,1,6,3,7,1,29,1,30,2,7,1,29,2,6,4,28,1,6,1,29,3,6,1,29,3,30,1,6,1,28,1,13,1,6,1,7,1,29,1,8,1,6,1,7,2,6,1,29,1,6,1,7,2,6,1,7,1,6,1,29,1,6,4,7,1,6,2,7,3,29,2,7,1,6,2,13,1,7,2,13,3,6,1,13,1,7,2,6,1,13,1,28,1,13,1,33,1,5,194,6,1,28,10,6,1,17,2,12,1,10,1,8,2,9,1,30,1,28,1,6,1,29,1,7,1,8,2,9,1,16,1,17,1,6,1,28,6,16,1,17,1,9,1,29,1,6,1,29,3,28,25,14,1,17,2,11,1,13,1,8,1,24,1,9,1,13,1,8,2,6,1,28,1,29,1,28,2,29,1,7,1,12,1,10,1,13,1,28,1,}, {6,1,28,2,30,2,28,1,6,1,13,1,17,1,24,1,8,1,6,2,13,1,6,1,12,1,15,1,9,1,28,36,29,1,28,1,6,1,9,4,15,1,17,1,15,1,6,1,30,2,28,2,30,1,28,1,9,1,12,2,8,4,9,1,12,1,9,1,6,2,8,1,14,1,15,1,13,1,6,2,30,1,28,1,12,1,17,3,11,2,10,1,11,1,8,2,10,1,11,1,12,1,17,1,16,1,10,1,12,1,16,2,17,1,8,1,30,1,28,6,30,1,28,6,30,1,28,9,30,1,24,1,9,1,11,1,10,1,12,1,14,1,11,1,9,1,7,1,6,1,30,3,6,1,24,1,12,3,9,1,13,1,24,1,8,1,6,1,8,1,13,1,8,2,9,1,13,2,24,1,10,1,24,1,29,1,28,1,30,1,28,10,30,1,8,1,17,1,11,1,17,1,11,1,16,4,11,1,16,5,17,4,16,1,17,9,16,1,17,4,16,3,17,1,16,1,17,1,16,2,11,1,9,1,8,1,9,2,13,2,8,1,9,1,8,1,9,1,10,1,9,2,13,1,9,2,13,1,9,4,8,1,9,1,11,1,9,1,8,1,9,8,8,1,13,1,8,1,13,1,9,1,13,2,9,3,13,1,10,1,13,1,9,2,8,1,9,1,11,1,16,1,9,1,16,1,11,2,17,1,10,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,1,11,4,16,1,11,1,16,1,11,3,16,1,11,1,16,1,11,1,17,1,11,1,16,5,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,5,11,1,16,1,11,3,16,3,11,2,16,1,11,1,16,3,9,1,10,1,17,1,11,2,9,1,16,3,11,1,16,1,9,3,11,4,16,1,11,1,9,1,11,2,10,1,13,2,11,2,9,2,11,2,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,17,1,11,1,10,2,8,3,6,2,13,1,30,1,29,2,6,3,28,1,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,16,30,1,28,21,30,1,28,3,29,1,28,5,30,1,28,272,13,1,6,2,30,1,7,1,28,13,30,1,6,1,13,1,8,2,9,1,8,1,9,1,13,1,9,2,16,3,13,1,9,1,13,2,9,2,13,1,9,1,13,2,9,7,13,2,9,1,8,1,9,1,16,1,9,2,8,2,13,1,9,2,8,1,9,2,8,1,9,2,11,3,9,2,10,1,9,1,16,1,11,2,16,1,10,1,11,3,9,1,17,1,11,1,9,1,10,1,11,2,10,1,11,2,8,2,13,1,8,1,9,2,11,1,9,1,13,2,11,1,9,1,8,1,9,3,13,2,9,4,8,1,11,2,17,1,16,1,11,1,9,2,11,1,10,1,11,4,10,1,11,1,16,1,11,7,9,1,11,2,9,1,11,1,10,1,9,2,11,5,16,1,10,2,9,1,11,3,10,1,9,1,10,1,8,1,9,2,10,1,9,1,16,1,9,2,10,1,9,1,11,1,10,1,11,3,9,2,10,1,11,1,9,2,11,1,9,5,10,2,11,1,9,1,11,3,9,3,10,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,11,8,1,13,2,11,1,9,1,11,1,9,4,13,2,9,1,8,1,9,1,10,1,9,1,13,1,11,1,8,1,9,8,8,1,9,1,11,1,9,2,10,1,9,1,11,1,9,1,11,1,10,1,9,2,11,1,9,1,13,1,9,4,11,2,13,1,9,1,13,1,9,2,13,1,11,1,13,1,9,4,13,1,9,1,13,1,9,5,11,1,10,1,9,3,11,1,13,1,11,1,9,2,13,1,9,2,13,1,9,1,8,1,9,4,11,1,9,2,11,1,9,3,13,1,9,5,11,2,17,1,11,6,16,5,11,1,16,3,11,1,16,1,11,1,16,4,11,1,9,1,11,5,16,1,11,2,16,1,11,1,9,1,13,1,11,1,9,1,13,1,8,1,9,3,13,1,5,1,33,69,5,503,28,1,11,1,10,1,9,10,8,1,9,4,8,1,9,2,8,2,9,1,11,1,9,3,11,1,9,3,11,1,16,1,5,107,33,1,30,1,28,16,30,1,28,1,6,1,13,5,6,1,13,1,30,2,28,1,30,2,6,1,28,1,13,1,28,2,30,1,28,2,13,1,28,2,6,1,30,1,28,1,6,1,30,2,28,32,30,1,28,5,30,1,28,2,30,1,28,2,30,1,28,14,30,1,6,1,13,1,6,1,13,1,6,1,30,2,6,2,30,1,28,1,13,1,30,1,6,1,13,1,6,1,30,2,13,1,30,1,13,1,30,2,28,1,33,1,5,62,33,5,5,1,13,1,28,2,13,3,6,6,7,1,30,1,7,1,6,3,29,1,6,1,29,1,7,1,29,1,6,2,30,3,7,1,6,1,7,1,6,1,30,1,29,3,6,2,30,1,7,1,29,1,13,1,6,1,7,1,29,1,13,1,6,1,13,2,6,1,8,1,29,1,7,1,29,1,7,2,6,5,13,1,6,1,7,1,13,2,7,1,13,1,7,2,29,1,7,3,6,3,7,2,8,1,13,1,7,1,13,3,6,1,13,2,6,1,13,1,28,1,30,1,33,1,5,193,6,1,28,10,6,1,17,3,10,1,8,1,9,2,6,1,7,1,30,1,6,2,8,3,17,1,11,1,13,1,28,5,30,1,11,1,17,1,10,1,6,2,7,1,6,2,28,25,14,1,17,2,9,1,8,1,13,1,24,2,13,1,8,2,6,1,30,1,6,1,30,1,28,1,6,1,13,1,8,1,10,1,13,1,28,1,}, {28,1,30,4,28,2,9,1,17,1,24,1,9,1,8,2,7,1,8,1,24,1,12,1,9,1,28,34,30,1,28,2,6,1,7,1,8,1,11,1,9,1,11,1,17,2,15,1,6,1,29,1,30,2,28,2,6,1,10,1,9,1,17,1,9,1,8,2,13,1,8,1,11,1,10,1,13,1,6,1,13,1,14,1,10,1,13,1,7,1,6,2,30,1,9,1,17,1,16,2,17,3,8,1,9,1,8,1,10,1,17,1,16,1,10,2,8,1,16,2,17,2,8,1,28,11,30,1,28,13,24,1,8,1,24,1,9,1,17,3,10,1,13,1,6,1,29,1,6,1,28,1,30,1,24,1,9,1,17,1,9,3,8,1,9,1,13,1,29,1,13,1,8,1,9,1,24,1,13,1,9,1,15,2,24,1,6,1,28,12,30,1,9,1,12,3,16,1,17,1,11,1,16,1,11,1,16,4,17,2,16,1,17,2,16,1,17,3,16,1,17,7,16,2,17,1,16,1,11,1,17,1,16,1,11,1,16,2,11,1,9,1,11,1,9,8,8,1,13,1,9,1,8,1,9,1,8,2,13,1,8,2,13,3,8,2,13,1,8,1,9,2,13,1,9,1,8,1,9,1,13,2,8,1,9,1,13,4,9,1,13,1,8,1,9,1,8,1,9,1,13,1,9,1,8,2,9,3,10,1,16,1,11,1,9,1,10,1,11,2,16,2,11,1,16,2,11,1,16,2,10,1,16,1,11,3,16,1,11,1,16,1,11,2,16,1,9,1,16,1,11,2,16,1,10,1,11,5,16,3,17,1,16,1,11,1,16,1,17,1,16,3,17,1,11,1,17,1,16,1,11,1,16,2,11,1,16,4,11,1,16,4,11,1,16,3,9,1,11,2,16,1,9,1,11,1,16,2,11,1,9,1,11,1,16,2,11,2,9,1,16,1,9,1,11,1,9,4,8,1,16,2,9,6,11,3,9,1,11,1,9,5,11,1,9,5,11,1,17,2,13,3,6,1,7,1,29,1,6,1,29,1,6,1,29,1,30,1,7,1,6,1,30,1,28,4,30,2,28,19,30,1,28,15,30,1,28,4,30,1,27,1,28,2,29,1,28,7,30,1,28,4,30,1,28,20,29,1,28,244,30,1,28,1,29,1,28,1,29,1,30,1,28,14,6,1,28,1,6,2,13,1,9,2,8,1,16,1,13,1,9,1,8,1,9,1,13,1,9,2,13,3,9,3,8,1,9,4,16,1,9,1,8,1,11,1,9,2,8,1,11,1,9,1,11,1,13,1,9,1,8,1,9,1,11,1,8,1,9,3,11,2,16,1,10,1,11,1,16,2,11,1,16,1,10,1,11,1,9,1,17,1,11,5,17,1,9,1,16,1,9,1,11,1,9,1,11,3,8,1,13,1,9,1,8,1,11,1,9,1,8,1,10,2,9,1,11,1,9,1,16,1,11,1,9,1,8,1,9,2,11,1,9,1,11,2,10,1,17,1,11,3,8,1,9,1,11,1,9,2,11,1,16,1,11,4,16,2,10,1,16,1,9,3,16,1,9,1,16,1,11,2,9,1,11,2,9,2,11,2,17,1,16,1,11,1,9,1,16,1,11,5,16,1,11,2,9,4,11,1,16,1,9,2,16,1,11,2,10,1,11,3,16,1,11,1,13,1,11,1,9,1,13,1,9,6,11,1,9,1,10,1,9,2,10,1,16,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,11,1,9,10,8,1,9,1,13,1,9,1,10,1,9,1,13,1,9,1,8,1,9,3,8,1,9,6,8,1,9,7,13,1,9,1,13,1,8,1,11,1,13,3,8,1,9,10,13,1,11,1,9,1,11,1,13,2,9,1,13,1,8,1,9,2,13,1,9,1,13,1,9,3,13,1,9,3,13,1,11,2,9,3,11,1,9,2,11,1,9,4,16,1,9,1,11,1,8,1,11,1,9,4,13,1,9,2,13,1,9,1,13,1,9,2,11,1,8,1,9,10,11,1,9,2,10,1,16,3,17,1,11,5,16,9,17,1,16,1,11,1,9,1,16,5,11,1,16,1,11,1,10,2,9,2,13,1,8,1,13,3,9,1,13,3,33,68,5,502,6,1,9,1,16,1,9,1,11,1,9,1,10,1,9,3,8,2,9,1,10,1,9,6,13,1,9,4,11,1,10,1,9,1,11,1,9,1,10,1,9,2,11,1,5,105,33,1,6,1,28,17,13,1,6,1,13,1,30,3,6,1,28,1,13,1,30,2,28,1,6,1,30,1,28,2,30,1,6,1,30,1,13,2,28,1,13,1,6,1,30,1,28,1,6,1,28,2,30,1,28,46,6,1,28,14,30,1,28,2,30,2,6,1,30,1,28,1,13,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,13,1,30,2,6,3,30,2,6,1,33,1,5,62,33,5,5,1,13,2,28,1,6,1,8,1,13,2,29,1,13,2,7,1,6,1,7,1,6,1,13,1,6,2,13,1,6,1,7,1,6,3,29,1,6,1,29,1,6,3,29,1,6,1,29,2,30,1,6,1,28,1,29,1,6,1,7,1,6,2,7,2,29,1,8,1,6,1,13,1,6,3,7,2,6,1,7,1,6,2,7,1,6,1,13,1,29,2,7,1,13,1,6,3,13,1,30,2,7,1,29,3,7,1,6,1,7,1,6,1,7,1,29,1,13,2,7,1,13,2,7,1,13,1,6,2,13,2,30,1,28,1,13,1,33,1,5,191,13,1,28,10,6,1,17,3,9,1,10,1,12,1,8,1,13,1,30,1,29,2,13,1,9,1,24,1,8,1,17,2,28,7,16,1,17,1,24,1,8,1,6,3,29,1,28,24,30,1,14,1,17,2,9,1,13,2,24,1,13,2,24,1,13,1,29,1,7,1,30,2,6,2,7,1,11,1,12,1,13,1,28,1,}, {6,1,29,1,28,1,6,1,28,1,29,2,10,1,17,1,15,1,9,1,13,1,8,1,9,1,8,2,15,1,8,1,30,1,28,37,7,1,13,1,24,1,9,2,17,2,16,1,6,1,28,2,30,1,28,2,30,1,10,1,17,1,11,1,10,1,8,2,9,2,10,1,15,1,13,1,6,1,13,1,15,1,14,1,13,1,30,1,6,3,8,1,17,1,16,1,17,4,8,1,9,1,12,1,9,1,17,1,16,1,12,1,16,1,10,3,17,3,28,5,30,1,28,1,29,1,28,2,29,1,28,14,6,1,12,1,24,1,17,2,11,1,17,1,12,1,8,1,30,1,7,1,6,1,30,2,24,1,12,2,11,1,9,1,24,1,9,1,8,2,6,1,8,2,13,1,24,1,8,1,24,1,15,1,10,1,8,1,7,1,28,1,30,1,28,10,30,1,8,1,11,3,16,1,11,1,16,2,11,1,16,3,17,3,16,1,17,1,16,1,17,7,16,1,17,4,16,3,11,1,17,1,16,1,11,5,9,1,11,1,9,2,11,1,9,1,11,1,8,3,13,2,8,1,13,2,8,1,13,1,9,1,13,1,6,1,8,3,13,1,9,1,13,1,9,1,13,2,8,1,13,1,8,1,9,1,13,2,9,3,13,6,8,1,13,1,10,1,11,1,9,1,11,1,8,2,16,1,9,2,10,2,9,1,11,3,16,2,11,1,16,1,11,2,16,2,11,1,17,1,11,1,9,1,11,2,9,1,10,1,11,3,9,1,16,1,9,1,11,1,16,4,17,1,16,1,11,1,16,4,11,1,16,2,11,1,16,1,9,1,17,1,11,2,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,5,16,4,11,1,9,1,11,1,9,1,11,1,9,1,11,5,9,1,16,1,11,4,9,1,10,1,9,3,11,1,16,1,9,4,13,1,9,1,11,1,9,1,11,1,9,2,13,1,9,1,11,1,9,5,13,1,9,1,13,1,9,2,8,1,11,1,9,2,10,1,17,1,16,1,13,3,6,1,7,1,29,1,6,1,29,2,6,1,29,1,30,2,28,4,29,1,28,2,30,1,28,19,29,1,28,4,30,1,28,17,29,1,28,1,30,1,28,1,29,1,28,1,30,1,28,272,29,1,6,1,29,2,28,1,30,1,28,18,30,1,13,1,16,1,8,1,11,1,8,1,9,2,11,1,13,1,9,1,13,1,9,1,13,2,9,1,8,1,13,1,9,2,13,2,9,5,8,1,9,2,11,1,9,1,10,1,9,2,10,1,9,2,8,1,9,2,11,1,9,3,11,3,9,3,11,2,9,1,16,1,17,1,16,3,17,1,11,1,16,1,10,1,9,1,10,1,9,3,11,1,10,1,11,1,9,1,8,1,13,1,11,1,9,2,8,1,11,1,16,1,9,2,10,1,16,1,8,1,11,1,9,2,11,4,10,1,11,1,9,6,11,1,9,1,16,1,11,1,16,1,9,1,11,1,16,1,11,2,16,1,11,6,16,1,11,2,10,1,8,1,9,1,11,2,9,1,11,1,10,2,11,1,16,1,8,1,11,1,9,1,8,1,11,2,9,1,16,1,9,1,11,2,9,1,11,2,9,1,11,1,16,1,11,4,10,1,11,3,10,1,16,1,11,2,16,1,9,2,11,1,10,1,9,3,10,1,16,1,10,2,11,1,10,1,11,3,13,1,11,1,9,2,11,1,9,5,13,1,8,1,9,1,13,1,9,5,13,1,8,1,9,4,13,1,9,1,13,1,9,1,13,1,9,3,13,1,9,2,8,1,13,1,8,1,9,1,13,1,11,1,9,1,8,1,9,1,10,1,8,1,9,2,13,1,9,3,13,1,9,1,8,1,11,1,13,1,9,3,8,1,9,1,8,1,9,1,13,2,10,1,13,1,9,1,8,2,9,1,13,3,9,1,13,5,9,7,8,1,9,2,11,1,9,4,11,1,9,4,8,1,9,1,13,1,11,1,13,1,9,1,13,1,9,2,8,1,9,1,11,1,9,2,13,1,9,7,13,1,9,2,11,1,8,1,9,1,11,1,9,1,11,2,16,2,11,1,16,9,17,2,16,1,11,1,16,2,17,1,16,4,11,1,9,1,11,1,9,1,11,1,13,1,9,4,13,2,8,1,9,1,13,2,33,68,5,501,9,2,11,1,9,10,8,1,9,1,13,1,9,2,8,1,9,1,8,2,9,3,11,1,9,2,11,1,10,2,9,1,11,1,16,2,5,100,6,1,28,19,30,1,6,1,13,1,6,1,13,1,6,3,28,1,6,1,28,2,13,1,28,1,6,1,28,2,6,2,28,1,6,1,30,1,28,1,13,2,28,21,30,1,28,1,30,1,28,21,30,1,28,1,30,3,28,2,6,1,13,1,30,1,28,15,30,1,28,1,6,1,28,1,30,1,13,3,6,2,30,1,28,1,6,1,30,1,13,1,30,2,6,2,13,3,30,4,28,1,6,1,5,62,33,7,13,4,7,1,13,1,6,4,29,1,6,1,8,1,29,1,30,1,6,2,7,1,6,1,7,1,29,1,7,1,6,1,7,1,30,1,6,1,7,1,30,2,13,1,6,2,30,1,29,1,7,1,30,1,29,1,6,1,29,1,6,1,7,1,13,1,28,1,6,1,8,1,7,2,13,1,6,1,7,1,6,1,29,1,13,1,7,1,6,5,30,1,29,1,7,2,29,1,6,2,29,1,6,1,7,1,29,1,6,1,7,1,6,1,7,1,6,1,8,1,6,3,13,1,7,2,13,1,7,1,6,2,13,1,7,1,6,1,28,1,6,1,33,2,5,189,6,1,28,10,13,1,17,3,11,1,9,1,8,1,24,1,13,1,6,4,24,1,9,1,8,1,17,2,30,1,28,6,17,2,9,1,13,2,29,2,28,25,6,1,14,1,16,2,9,1,7,1,13,1,8,3,9,1,7,1,13,1,29,1,28,1,30,1,28,1,6,1,13,1,10,1,6,1,30,1,28,1,}, {28,3,6,1,30,1,6,1,29,1,24,1,12,1,24,3,8,1,13,1,8,2,12,1,8,1,13,1,28,34,30,1,28,1,30,1,6,1,13,1,8,1,12,1,10,1,17,2,16,1,6,1,30,1,28,1,6,1,28,1,29,1,6,1,12,1,17,1,11,2,8,1,9,2,13,1,17,1,12,1,7,1,13,2,17,1,15,1,7,1,13,1,6,2,30,1,24,1,17,3,12,1,17,2,8,1,12,1,7,1,9,1,17,3,9,1,11,1,9,1,12,1,16,1,14,1,9,1,28,1,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,2,30,1,28,11,8,1,24,1,12,1,17,4,9,1,13,1,29,1,6,1,29,1,6,2,13,1,11,1,17,3,13,1,9,1,13,1,8,1,6,1,13,2,8,1,24,1,8,2,24,1,10,1,9,1,7,1,30,1,28,12,9,1,17,1,11,1,17,1,16,1,11,1,17,1,16,2,17,4,16,1,17,1,16,2,17,11,16,2,11,1,16,1,11,2,9,1,11,3,9,5,13,7,8,1,13,3,8,1,9,2,13,3,9,1,13,2,8,1,13,1,9,1,13,2,9,1,13,2,9,2,13,1,8,1,9,1,8,1,6,1,8,1,13,2,9,1,13,4,8,1,13,1,9,1,8,1,11,2,9,4,8,1,11,1,9,1,10,1,16,1,11,1,9,3,11,1,9,1,17,1,11,2,16,1,17,1,11,2,16,1,11,6,17,1,11,2,16,2,17,1,9,2,11,1,16,4,11,1,16,3,11,1,16,2,11,2,16,1,11,5,16,1,11,2,16,1,11,4,9,2,11,5,9,1,16,1,11,1,16,2,11,1,9,4,13,1,9,2,13,1,11,1,13,1,11,1,9,15,11,4,13,1,9,2,8,1,9,2,8,1,9,2,13,1,9,2,11,2,17,2,9,1,8,1,6,1,13,1,7,1,29,2,13,1,28,1,6,2,7,1,28,1,30,1,28,3,30,1,28,2,29,1,30,1,28,3,30,1,28,10,30,1,29,1,28,6,30,1,28,9,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,3,29,1,28,1,30,2,28,4,30,2,29,1,28,267,30,1,28,1,6,1,28,19,13,3,9,1,8,1,9,1,13,2,9,2,13,1,9,1,13,2,9,1,13,1,9,1,13,2,8,1,9,1,6,1,13,1,9,4,10,1,9,1,11,2,9,3,13,1,9,1,13,2,11,1,9,1,11,4,9,1,11,3,16,1,11,2,17,5,11,1,17,1,11,1,16,2,9,1,11,1,9,1,11,1,9,1,16,1,9,3,11,1,9,1,13,1,11,1,9,2,8,1,11,1,13,1,16,1,9,1,16,2,11,1,16,1,9,2,8,1,9,1,17,1,16,1,11,1,17,1,9,2,11,1,8,1,9,1,11,2,9,1,16,1,11,2,16,1,11,1,10,1,16,1,10,1,11,1,9,1,16,2,9,1,11,1,16,1,11,2,16,1,9,1,11,4,16,2,11,1,16,2,11,2,9,4,11,2,9,1,10,1,9,2,11,1,9,2,11,3,16,1,11,1,9,1,16,2,9,1,16,1,11,1,9,3,11,1,9,2,11,1,13,1,9,8,11,2,8,1,9,2,11,2,9,1,13,1,16,1,11,1,8,1,9,3,13,1,9,1,11,1,9,2,10,1,8,1,9,2,11,1,13,1,9,1,8,2,9,4,13,1,10,1,11,1,13,1,10,1,9,1,11,1,9,4,13,1,9,1,11,1,8,1,9,2,8,1,9,3,13,1,9,1,8,1,9,4,8,1,13,2,10,1,8,1,9,1,13,1,8,1,13,1,9,2,13,2,9,2,13,1,9,2,8,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,13,2,11,1,9,3,11,1,9,2,13,1,9,1,10,1,9,1,16,1,9,2,11,1,9,3,8,1,11,1,9,3,13,1,11,1,10,1,9,4,11,1,9,6,13,1,9,3,10,2,9,4,11,1,9,1,11,1,16,2,17,1,16,1,11,1,16,6,11,2,16,4,17,1,16,4,11,4,10,1,11,1,9,6,13,4,9,1,33,68,5,501,16,1,13,1,9,3,10,1,9,10,8,1,9,2,8,2,10,3,9,2,11,1,9,1,11,1,9,4,11,1,17,1,16,1,5,96,6,1,28,20,13,3,6,2,13,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,13,1,28,1,30,1,13,1,6,3,28,2,30,1,28,20,30,1,28,21,30,1,6,1,30,1,28,6,30,2,28,1,30,1,28,1,6,1,28,22,6,2,30,2,6,1,30,3,28,1,13,1,30,3,13,1,30,1,6,1,13,1,28,1,30,1,28,3,33,1,5,62,33,7,28,1,13,1,9,1,13,2,6,4,28,1,6,4,13,1,30,1,7,1,29,1,6,3,7,2,6,1,29,1,6,1,29,1,30,1,29,1,6,4,7,1,29,1,13,1,29,1,6,2,29,1,6,1,8,1,29,2,7,1,13,1,29,1,7,1,13,1,29,1,7,2,6,1,29,1,7,1,6,1,7,1,13,1,6,1,30,1,6,1,29,2,6,2,29,1,6,2,7,1,29,1,6,1,7,1,6,1,13,2,7,1,13,1,7,2,13,1,6,2,7,1,13,2,7,1,13,2,28,3,33,2,5,187,6,1,28,10,7,1,14,1,17,1,9,3,24,1,13,1,6,3,7,1,6,1,9,3,17,1,12,1,28,6,6,1,17,1,14,1,24,1,29,1,7,1,6,1,30,2,28,24,6,1,14,1,16,1,11,1,10,1,8,2,24,1,8,1,24,1,8,1,24,1,6,1,28,1,29,1,28,1,30,1,13,1,9,1,12,1,11,1,30,1,28,1,}, {6,1,28,2,30,1,29,1,6,2,9,2,10,1,12,1,13,1,8,1,7,1,13,1,8,1,9,1,8,1,30,1,28,35,29,1,28,1,6,1,29,1,8,1,9,1,12,1,17,3,13,1,30,2,28,1,29,1,30,1,6,1,17,1,12,2,9,1,8,1,13,1,9,1,10,1,12,2,13,1,6,1,24,1,10,1,17,1,7,1,13,1,6,2,30,1,9,1,17,2,16,1,17,1,16,1,10,1,24,1,8,2,11,1,17,1,12,1,17,1,16,1,11,1,10,1,16,2,17,1,9,1,28,4,30,1,28,1,30,2,28,2,30,1,28,13,30,1,6,1,24,1,17,5,10,1,8,1,6,1,29,1,30,1,6,1,30,1,8,1,12,1,16,1,17,1,24,1,9,1,24,1,13,3,8,1,13,2,8,1,13,1,7,1,9,1,10,1,9,1,7,1,30,1,28,12,8,1,11,2,16,3,17,1,16,7,17,2,16,1,17,3,16,1,17,3,16,7,11,1,9,1,11,1,9,1,11,3,9,5,8,1,9,1,13,1,8,1,9,1,8,1,13,7,8,3,13,4,8,1,13,1,8,2,13,1,8,1,9,1,13,1,9,1,13,4,8,1,13,1,8,1,13,1,9,1,13,2,9,1,8,1,13,1,9,1,13,1,9,1,13,1,11,1,9,1,8,1,9,9,10,1,9,3,11,1,16,1,11,2,17,1,16,1,11,1,16,1,11,3,9,1,11,1,9,2,11,2,9,1,16,1,11,1,16,5,11,2,16,1,11,3,9,1,16,1,9,1,11,1,16,1,11,1,16,1,11,7,9,4,11,1,9,1,11,2,16,1,11,4,10,3,11,6,9,5,11,1,9,2,8,1,9,3,10,1,9,6,13,1,9,4,13,1,9,2,13,1,8,1,13,4,9,2,13,1,9,3,8,1,11,2,17,1,9,2,13,3,30,1,7,1,30,1,29,1,30,1,6,1,29,2,30,1,28,38,30,2,28,3,30,1,28,4,30,2,29,1,28,1,29,1,28,4,29,1,28,1,30,1,28,2,30,1,29,1,28,1,29,1,28,4,30,1,28,40,6,1,28,217,30,4,28,19,30,3,8,1,11,1,17,1,9,1,13,1,9,2,13,1,9,2,8,1,13,3,9,1,13,1,9,2,13,2,8,1,13,1,9,3,8,1,9,1,16,1,13,3,11,1,9,2,8,1,16,1,9,2,11,1,9,2,8,1,10,1,16,1,11,1,16,3,17,1,16,3,17,1,16,1,11,1,16,2,11,2,16,2,11,1,9,1,16,1,11,3,9,2,11,2,9,2,11,2,10,1,9,1,16,1,10,1,16,1,10,2,11,2,9,4,11,1,9,1,11,1,9,1,8,2,9,1,11,2,9,2,11,1,16,1,11,3,9,2,11,2,9,2,11,4,9,1,11,1,9,2,11,1,16,1,11,2,16,1,11,1,10,1,16,1,11,1,16,1,9,1,11,1,16,3,9,1,11,2,9,1,11,1,8,1,9,2,16,2,9,1,17,1,11,2,16,2,9,1,16,1,11,3,9,1,8,1,9,1,11,1,9,1,13,1,9,2,8,1,10,1,9,1,10,1,9,3,13,1,9,4,11,1,9,1,16,1,11,3,9,1,16,1,9,1,11,1,8,1,11,2,13,1,9,3,13,1,9,1,8,1,9,3,11,1,13,1,9,1,8,1,11,1,13,1,11,1,9,1,13,1,9,4,13,1,8,1,9,2,13,1,9,2,8,1,9,2,8,1,9,6,8,2,9,3,13,2,10,1,9,4,8,1,9,1,13,1,9,1,13,1,8,1,13,4,9,1,13,3,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,10,1,8,1,9,5,8,1,9,1,10,1,9,1,13,1,9,2,13,1,8,1,9,1,8,1,11,1,9,1,10,1,9,1,11,1,9,5,11,2,9,1,11,1,9,1,13,1,9,1,13,1,9,4,11,6,16,3,17,1,16,18,11,2,16,1,11,4,9,1,8,1,13,1,9,1,13,2,9,3,13,1,6,1,33,66,5,500,16,1,9,1,8,1,11,1,13,1,9,1,13,1,9,2,8,1,9,5,10,1,9,3,8,2,9,1,10,3,11,1,9,1,11,1,9,2,11,1,8,2,9,2,11,1,13,1,30,1,13,1,5,2,33,1,5,88,33,1,28,19,30,1,6,1,13,2,30,1,13,1,28,7,30,1,28,1,6,2,28,1,6,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,6,1,28,2,30,1,28,2,6,1,30,1,28,3,30,1,28,27,30,3,6,1,28,1,30,1,28,7,30,1,28,26,6,1,13,1,28,1,13,1,6,1,30,2,13,2,6,2,13,1,6,1,13,1,6,1,30,1,13,1,28,1,13,1,28,3,13,1,5,61,33,7,13,1,28,1,6,1,13,2,30,1,6,2,13,2,29,1,7,2,29,1,6,1,30,1,6,4,30,1,6,1,13,1,29,1,6,2,30,1,29,1,7,2,6,1,29,1,6,1,30,1,7,2,6,1,7,1,13,1,29,1,8,1,7,1,6,1,7,1,6,1,7,1,13,1,6,1,13,1,7,1,6,1,13,1,6,2,7,2,6,3,29,1,8,1,29,1,30,1,13,1,6,2,7,1,28,1,6,1,13,1,29,1,6,1,7,1,6,1,7,1,6,1,7,5,6,2,7,1,13,5,28,2,13,1,33,1,5,186,13,1,28,10,8,1,14,1,17,1,16,1,11,1,9,2,13,1,7,1,30,2,7,1,8,1,24,1,9,1,12,1,17,1,24,1,30,1,28,5,30,1,17,2,9,1,7,3,6,1,28,25,6,1,14,1,12,2,10,1,13,1,9,2,24,2,9,1,13,2,30,1,28,1,29,1,7,1,8,1,24,1,17,1,11,1,30,1,28,1,}, {30,1,29,2,6,4,24,1,15,1,9,1,8,1,13,3,24,1,13,1,12,1,8,1,30,1,28,35,29,1,28,1,7,1,13,1,9,1,10,2,12,1,17,1,12,1,13,1,6,1,28,1,30,1,29,1,30,1,13,1,12,1,17,2,12,2,8,1,9,1,11,1,15,1,10,1,29,1,6,1,13,1,15,2,13,1,6,4,13,1,17,1,11,1,17,1,9,2,11,1,9,1,13,1,9,1,11,2,12,1,11,2,16,1,12,1,10,1,9,1,14,1,11,1,30,1,28,24,13,1,17,2,12,1,17,1,12,2,10,1,9,1,7,1,30,1,29,1,7,1,28,1,13,1,11,1,10,1,9,1,8,1,13,2,8,1,13,1,7,1,6,1,8,4,13,2,9,1,24,1,7,1,29,2,30,1,28,10,13,1,17,3,16,1,11,1,16,7,17,1,16,2,17,2,16,1,17,4,11,1,16,1,11,1,16,1,11,1,16,1,11,5,9,2,11,1,9,1,13,1,11,1,9,1,13,2,9,1,8,1,9,1,13,4,8,1,13,2,8,1,13,4,9,1,13,1,8,1,13,4,8,1,9,1,8,1,9,1,13,3,30,1,13,6,8,1,9,1,8,1,13,3,9,1,13,7,8,1,9,3,8,1,13,2,9,3,11,2,9,1,10,1,11,2,9,2,11,2,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,6,16,1,9,1,11,2,9,1,11,5,9,1,11,1,16,1,11,1,17,1,16,2,11,4,16,1,11,2,9,2,11,1,16,1,11,3,16,3,9,1,16,1,9,1,11,2,9,2,11,3,9,2,10,1,11,2,9,4,10,1,13,1,9,1,8,1,9,1,13,1,9,8,8,1,9,1,13,1,9,2,10,1,9,1,13,3,9,4,13,2,8,1,13,1,8,1,9,3,17,2,16,1,13,1,6,2,8,1,29,1,7,1,6,1,30,1,6,1,30,1,6,1,28,6,29,1,28,5,30,1,28,15,29,1,28,2,30,1,28,1,29,1,28,6,30,1,28,1,6,1,30,2,28,2,30,1,28,3,30,1,28,1,29,1,30,2,28,1,29,1,28,1,29,3,28,2,29,1,28,1,30,1,28,1,6,1,28,2,30,2,28,1,30,1,28,2,30,1,28,255,30,1,28,1,30,1,28,17,6,1,28,3,8,1,16,1,9,3,8,2,11,1,13,2,9,3,13,1,9,1,13,1,9,2,8,1,13,2,8,1,13,1,8,1,11,1,13,1,9,1,10,1,8,1,9,7,16,1,9,1,16,1,11,1,16,1,11,2,16,3,11,1,17,2,11,1,17,1,11,2,8,1,11,2,10,1,16,1,11,1,9,1,11,1,10,1,11,1,9,2,8,1,9,2,16,1,9,1,11,2,9,1,10,1,13,1,11,2,9,2,16,1,11,2,17,1,11,1,9,1,13,2,8,1,9,1,11,1,9,2,16,1,9,1,11,1,9,1,16,3,10,1,11,1,9,1,11,2,16,1,9,1,11,1,9,1,11,4,16,2,9,1,11,1,9,1,11,2,9,1,11,6,16,2,11,1,16,1,11,1,16,2,11,1,9,1,11,2,16,1,9,1,11,2,16,1,11,3,16,2,11,1,16,1,11,1,10,1,11,3,9,1,11,1,9,17,10,1,9,3,11,2,9,3,11,1,9,1,11,1,9,2,13,1,10,1,13,1,9,1,13,1,9,7,13,1,11,1,8,1,9,1,8,1,13,1,9,1,11,1,8,4,9,2,13,1,9,2,13,1,9,2,8,3,9,7,13,1,11,1,9,1,8,1,9,1,13,1,8,1,9,1,7,1,13,1,9,1,13,3,9,3,13,1,9,1,8,2,9,1,8,1,9,1,13,1,9,1,8,1,9,2,11,1,13,1,9,1,8,1,9,4,13,1,9,4,8,1,9,8,10,1,8,1,11,1,9,7,13,1,9,8,8,1,9,5,11,1,9,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,10,1,11,1,16,1,11,1,16,11,11,1,16,2,11,6,9,3,13,1,9,3,11,1,13,1,9,1,30,1,13,2,33,66,5,499,16,1,9,5,8,1,9,2,10,1,9,5,11,2,9,1,11,1,9,3,10,2,9,1,11,1,9,3,11,1,9,2,8,1,13,1,9,3,13,1,30,1,28,4,5,85,28,19,30,4,6,2,28,11,30,1,28,13,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,28,30,1,28,24,30,1,28,1,6,1,28,1,6,1,28,17,13,2,6,1,30,1,28,1,6,3,13,2,6,1,13,1,6,2,28,1,6,1,28,5,5,62,33,7,13,1,28,1,6,2,7,1,30,1,29,1,30,1,7,1,30,1,6,1,29,2,6,3,29,2,7,1,6,1,7,1,6,1,29,1,6,1,30,1,6,4,29,1,6,4,13,1,29,1,6,1,7,1,6,1,13,2,7,1,13,1,7,1,29,1,6,1,8,1,7,1,13,1,7,1,6,2,29,1,6,1,7,1,6,2,29,3,30,1,6,3,7,1,29,1,6,4,7,2,6,1,7,1,6,1,7,1,6,1,7,1,13,4,6,2,7,1,13,3,30,1,28,2,13,1,33,2,5,183,6,1,28,10,11,1,14,1,17,1,16,1,10,1,9,1,11,1,24,1,13,1,29,1,6,1,29,1,7,1,8,1,9,1,12,1,17,1,9,1,28,6,30,1,14,1,17,1,9,1,13,2,29,2,28,25,13,1,14,1,17,1,16,1,9,1,13,2,24,1,8,3,13,1,29,1,30,2,28,1,6,1,8,1,9,1,17,1,24,1,6,1,28,1,}, {30,1,6,1,30,1,6,1,29,2,30,1,8,1,14,1,10,1,24,1,8,1,13,1,24,1,6,1,8,1,9,1,8,1,30,1,28,33,30,1,28,2,29,1,30,1,29,1,24,1,9,1,12,1,11,1,16,1,12,1,6,1,29,1,30,1,28,1,29,1,28,1,13,1,10,1,17,2,12,1,9,2,12,2,14,1,9,1,13,3,10,1,12,1,13,1,30,1,29,1,28,2,7,1,17,2,12,1,9,1,11,1,10,2,24,1,9,2,16,2,9,1,17,1,10,1,9,1,17,3,16,1,30,1,28,6,30,1,29,1,30,1,28,1,30,3,28,11,6,1,17,1,12,3,17,2,10,1,7,1,13,1,29,1,13,1,30,1,29,1,6,1,9,1,17,3,24,2,13,1,6,1,7,1,13,1,24,1,13,1,10,1,13,2,24,1,8,2,13,1,30,1,28,2,30,1,28,9,30,1,11,4,16,3,17,1,11,1,16,4,17,2,16,4,17,1,16,3,9,1,16,1,11,4,9,1,16,1,9,3,8,1,13,5,8,1,13,1,8,1,9,1,13,1,9,1,13,2,8,1,13,6,6,1,8,1,6,1,13,7,8,1,13,4,8,1,13,5,9,1,8,1,13,2,6,1,13,1,9,1,13,1,6,1,13,4,9,1,13,3,9,1,8,1,9,2,13,1,9,1,13,1,8,2,9,2,11,1,13,1,11,1,9,2,11,3,10,1,11,1,9,2,11,1,9,2,11,1,10,1,9,2,16,1,9,2,11,3,16,1,9,1,11,3,9,3,16,4,11,1,16,1,11,2,9,1,16,1,9,1,11,1,16,2,17,1,9,1,11,1,16,1,11,1,16,2,11,1,9,2,10,1,9,1,11,1,16,2,11,2,9,2,11,1,9,1,11,1,13,1,16,1,13,1,9,5,13,1,9,4,8,1,9,2,13,1,10,1,11,1,8,1,13,1,9,1,13,3,8,2,13,2,6,1,9,1,8,2,13,2,9,1,13,1,9,1,8,1,11,1,9,2,16,1,11,1,9,1,13,3,29,1,30,1,6,1,29,1,7,1,29,1,7,1,28,1,27,1,30,1,28,4,29,1,28,1,30,1,28,13,29,1,28,3,30,1,28,1,30,1,28,3,29,1,28,3,29,1,28,1,30,1,29,1,28,1,29,1,28,1,29,1,6,1,28,2,30,2,28,1,25,1,29,1,30,1,6,1,28,1,29,3,30,2,28,5,6,1,29,1,28,4,30,1,28,37,6,1,28,222,29,1,28,1,29,1,28,18,6,1,30,1,28,2,7,1,9,2,11,1,9,3,13,1,9,1,8,1,13,1,9,2,13,1,9,1,13,1,11,1,9,1,13,1,11,1,8,1,13,1,9,1,13,1,11,1,7,1,8,1,11,1,9,2,11,1,8,2,13,1,9,1,16,1,10,1,16,1,10,1,9,1,11,1,9,2,11,1,9,1,16,1,11,1,16,1,11,1,16,3,11,1,16,1,11,1,10,1,9,1,8,1,9,2,11,2,16,1,9,2,16,1,9,1,11,1,9,1,11,5,9,2,11,2,8,1,13,1,9,1,11,1,8,1,9,10,11,2,17,1,16,1,11,3,16,1,11,2,9,1,16,1,9,1,16,2,9,1,11,1,16,1,11,2,9,1,16,1,9,1,11,2,9,1,11,1,9,1,11,2,16,1,17,1,11,1,16,1,11,4,16,1,11,1,9,1,16,1,9,1,16,2,11,1,16,1,11,1,17,1,11,1,16,1,17,1,16,3,11,1,9,1,11,2,16,1,11,5,9,4,11,1,9,8,8,1,9,1,11,1,8,1,10,1,9,1,11,2,9,1,16,1,9,2,10,1,11,2,9,4,8,1,13,1,9,2,13,1,10,1,8,1,9,3,11,1,9,4,13,1,8,1,9,1,10,1,13,1,8,1,13,2,9,2,13,1,9,2,13,1,9,2,8,1,9,3,8,1,13,2,8,1,9,3,8,2,9,3,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,2,13,2,9,3,8,1,9,1,13,2,9,1,8,1,13,1,9,2,8,1,9,3,8,1,9,1,8,1,9,2,13,1,9,1,11,1,8,1,9,3,11,1,9,8,8,1,11,1,7,1,13,2,9,4,10,1,9,6,11,1,9,1,10,1,16,1,11,1,16,1,10,1,11,2,16,3,11,1,16,1,11,1,16,5,17,1,16,4,17,1,11,3,16,2,11,2,10,1,11,2,9,4,13,1,9,1,13,1,8,1,13,5,33,65,5,499,9,9,11,1,9,1,11,3,9,3,10,1,9,2,11,1,9,1,11,2,9,6,8,1,9,2,8,1,9,5,11,1,13,2,28,1,6,1,5,81,28,19,30,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,28,2,6,1,30,1,28,5,30,1,28,2,30,1,28,3,30,1,28,3,30,1,28,2,13,1,28,36,6,1,28,18,30,1,28,2,30,1,28,5,30,1,28,18,6,1,28,2,13,1,6,1,30,1,6,1,13,2,6,1,30,1,13,2,30,1,6,1,28,5,6,1,5,61,33,8,5,1,28,2,30,1,13,2,30,1,29,1,6,4,29,1,6,1,29,1,6,2,7,1,30,1,6,1,13,1,28,1,30,1,6,2,7,1,6,4,13,2,6,1,7,1,29,1,7,1,6,1,29,1,6,1,13,2,6,1,7,1,13,2,6,2,7,2,6,1,7,1,6,2,7,1,6,1,7,1,6,1,29,1,6,2,7,1,6,1,7,1,29,1,6,2,7,1,29,1,6,1,7,1,6,2,29,1,6,2,13,1,6,1,13,1,7,2,29,1,13,1,7,1,13,3,8,1,13,1,7,1,13,1,6,1,28,1,30,1,33,2,5,2,33,1,5,3,33,3,5,172,6,1,28,10,16,1,17,2,9,1,11,1,9,1,12,1,13,1,6,1,28,1,6,1,29,1,13,1,11,1,10,1,17,2,8,1,28,6,29,1,17,1,16,1,10,1,13,2,30,1,29,1,30,1,28,24,8,1,14,1,16,1,17,1,12,1,8,1,13,2,6,1,13,2,6,1,28,3,29,1,6,1,13,1,9,1,10,1,9,1,28,2,}, {30,1,28,2,29,1,6,1,7,1,30,1,24,1,12,1,10,1,9,1,24,1,8,1,7,1,13,2,12,1,8,1,29,1,28,35,30,1,28,1,30,1,13,1,9,1,12,2,9,1,17,1,11,1,13,1,6,2,7,1,28,1,30,1,29,1,9,1,17,1,11,1,12,1,10,1,8,1,13,1,9,1,24,1,9,1,24,1,30,1,6,1,15,1,12,1,13,1,7,1,6,1,30,1,7,1,8,1,17,2,12,1,10,1,9,4,8,2,10,1,17,1,12,1,17,1,16,2,17,3,11,1,6,1,30,1,28,6,30,1,28,1,29,1,28,1,29,1,28,12,7,1,9,2,12,3,16,2,13,2,6,1,29,1,6,2,30,1,9,1,17,1,12,1,15,1,24,1,8,2,13,2,8,1,13,1,8,1,9,1,24,1,6,1,8,1,9,1,12,1,6,1,28,1,30,1,28,1,29,1,28,9,6,1,11,2,16,1,11,1,16,1,17,1,16,2,17,1,11,1,16,2,17,2,16,3,17,1,11,1,16,1,17,1,16,3,10,1,11,3,9,5,8,1,13,3,8,2,13,1,8,1,13,1,8,1,13,1,7,1,13,2,30,1,7,1,6,2,13,1,6,1,13,4,6,1,13,1,6,1,13,6,9,1,13,3,8,2,6,1,13,1,9,1,8,1,13,2,9,1,13,2,9,3,8,1,13,1,9,1,8,1,9,1,13,1,11,1,9,1,8,1,10,1,8,1,13,1,8,2,9,1,8,1,11,1,8,2,9,1,17,1,13,1,9,7,11,2,9,1,11,1,9,5,10,1,9,1,11,1,9,1,11,3,9,1,11,3,10,1,16,2,11,3,16,3,11,1,16,2,11,4,16,1,9,1,16,1,11,2,9,1,11,1,8,1,10,1,11,2,8,1,11,1,16,1,9,1,10,1,11,1,9,2,11,2,9,1,10,1,13,1,9,1,8,1,9,1,11,1,9,1,16,1,9,2,13,1,9,1,13,1,9,1,13,1,8,1,9,4,13,1,9,1,13,5,8,1,13,1,9,1,13,1,9,2,8,1,11,1,13,1,9,2,13,1,8,1,10,1,9,1,8,1,11,1,10,1,9,1,16,1,7,1,6,1,7,1,29,1,6,1,29,4,6,1,29,1,28,14,30,1,28,10,30,1,28,4,29,1,30,1,28,5,6,1,28,2,29,2,28,1,6,1,30,1,29,1,28,1,30,1,28,1,30,1,29,3,27,1,29,1,27,1,30,1,28,1,30,1,28,5,30,1,29,1,28,1,30,1,29,1,28,1,30,1,28,36,6,2,28,221,30,1,28,1,29,1,6,1,28,1,30,1,28,15,30,1,28,1,30,2,28,1,30,1,28,1,29,1,12,1,10,1,8,1,9,2,13,1,9,1,13,2,11,1,13,2,9,1,8,1,13,2,9,3,8,1,13,1,9,1,11,1,9,2,8,1,9,1,11,2,10,1,11,1,16,1,9,2,11,2,9,1,16,1,9,1,16,1,17,1,11,1,17,1,11,1,16,1,17,1,11,1,17,1,11,2,16,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,9,1,17,1,16,1,11,1,16,1,9,2,11,2,17,1,8,1,16,1,11,2,16,1,11,1,17,1,9,3,11,1,9,10,10,1,9,1,11,1,10,1,11,3,9,1,16,1,9,1,11,2,16,1,11,7,16,1,11,1,9,1,16,1,8,1,9,1,11,1,9,1,11,2,9,1,10,1,16,3,11,1,16,2,10,1,11,1,16,1,9,1,11,3,9,2,11,1,17,1,10,1,9,1,17,1,11,2,16,1,10,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,9,1,11,1,9,1,16,1,11,1,9,1,10,1,9,2,11,1,9,1,11,1,9,1,13,1,9,1,10,1,9,2,16,1,8,1,9,2,11,1,13,1,11,1,10,2,11,1,9,1,11,1,9,3,11,1,9,2,13,1,8,1,10,1,13,2,9,1,11,1,10,1,8,1,9,1,10,1,9,3,13,1,9,1,11,1,9,3,11,1,8,1,9,4,10,1,8,1,9,1,13,1,9,3,8,1,13,1,11,1,9,2,13,3,9,1,13,1,9,1,8,2,9,1,8,1,13,1,9,1,13,1,9,2,8,1,13,2,9,2,13,1,9,3,8,1,9,2,8,1,9,5,13,2,9,1,13,1,11,1,9,3,13,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,11,1,13,1,10,1,9,2,8,1,9,1,8,1,10,1,11,1,9,1,10,1,8,1,13,1,10,1,13,1,9,6,8,1,9,2,11,3,9,1,11,1,9,1,16,2,9,1,11,1,16,5,11,1,16,2,17,2,16,3,17,1,16,4,11,1,16,1,11,2,9,1,11,2,9,3,8,1,9,1,11,1,9,2,13,6,33,65,5,498,13,1,9,6,11,3,9,1,11,2,9,1,10,1,9,1,10,1,11,1,9,1,8,1,9,1,8,1,9,8,8,1,9,1,13,1,9,1,13,1,9,2,13,3,9,2,28,1,33,1,5,77,33,1,6,1,28,19,30,2,28,20,6,1,28,1,30,1,28,4,30,1,28,9,30,1,28,14,6,1,30,1,28,4,6,1,28,8,6,1,30,1,28,3,30,1,28,15,30,1,28,1,30,2,28,5,30,1,28,19,30,1,6,1,13,1,30,1,13,5,30,2,6,1,30,2,28,5,5,64,33,7,13,1,28,2,30,1,13,2,7,1,6,1,30,2,29,1,7,1,6,5,30,1,6,6,13,2,7,1,6,2,7,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,13,1,29,1,13,3,6,1,13,2,6,1,7,1,6,2,7,1,29,1,6,1,7,1,6,1,13,1,6,3,29,1,6,1,13,1,6,4,7,2,13,1,30,1,7,1,6,3,7,1,6,1,7,1,13,1,7,2,13,6,8,1,6,1,8,1,13,3,30,1,28,11,5,1,33,1,5,169,6,1,28,10,14,1,17,1,11,1,8,1,9,3,13,1,6,1,30,1,6,2,7,1,13,1,9,1,17,2,8,1,28,6,7,1,17,2,8,1,7,1,6,2,29,1,28,25,11,1,14,1,17,1,16,1,8,1,9,1,6,2,13,1,7,1,6,2,30,1,28,1,29,1,28,1,8,2,16,1,9,2,28,2,}, {30,1,29,1,30,1,6,1,29,2,13,1,9,1,10,1,17,1,8,1,13,5,9,1,8,1,30,2,28,34,30,1,28,1,29,1,13,1,9,1,8,1,16,2,17,2,8,1,30,1,29,1,30,2,29,2,8,1,17,2,10,1,9,1,24,1,6,1,13,1,12,1,8,1,13,1,6,2,24,1,12,1,10,1,6,1,7,1,30,1,6,2,17,3,9,1,12,1,11,1,9,3,8,1,12,1,16,1,17,6,14,2,6,1,28,2,29,1,28,1,30,1,28,2,30,2,28,1,30,2,28,12,13,1,9,2,12,1,9,2,10,1,9,1,8,2,30,1,13,1,6,1,30,1,6,1,8,1,11,1,17,1,14,1,12,1,9,1,8,2,13,1,9,2,24,1,8,1,7,1,8,1,9,2,10,1,24,1,28,1,29,1,28,2,30,1,28,8,7,1,9,2,11,3,16,5,17,1,16,1,17,1,16,6,17,1,16,3,11,3,9,2,11,1,9,1,13,2,9,1,13,2,9,1,8,1,13,4,8,1,13,1,7,1,13,3,30,1,6,2,13,2,6,1,13,12,9,1,8,1,13,1,9,1,8,1,9,1,13,4,8,1,13,1,9,2,8,1,9,1,13,1,9,2,8,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,8,1,10,1,9,1,13,1,8,1,9,1,13,1,11,2,9,3,11,1,10,1,11,1,9,1,8,1,9,1,11,2,10,2,11,1,10,1,9,1,11,1,9,1,13,1,9,2,8,1,13,1,11,1,9,1,11,2,9,1,11,1,10,1,11,1,9,1,11,1,16,2,11,1,16,2,11,5,13,1,9,1,11,1,10,1,11,4,9,2,11,2,16,1,11,1,9,1,11,1,13,1,11,1,9,1,11,1,16,1,9,1,11,1,9,1,13,1,9,1,8,1,13,1,11,1,13,1,9,1,13,1,9,2,13,3,9,3,13,1,9,1,13,1,6,1,8,1,13,3,8,1,13,2,8,1,9,1,8,2,9,3,13,2,8,1,6,1,13,1,9,1,13,1,8,1,9,3,11,1,13,1,7,1,6,3,29,1,6,1,29,3,6,1,25,1,29,1,28,1,30,1,27,1,28,6,29,1,28,14,30,2,29,1,28,3,30,1,29,1,28,1,29,1,28,1,29,3,28,1,30,1,6,1,30,1,28,2,29,4,6,1,30,1,25,1,29,2,28,1,30,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,29,1,28,2,29,1,28,4,30,1,28,10,30,1,28,14,24,1,30,1,28,223,30,2,28,1,6,1,29,1,28,18,30,1,28,1,30,2,28,1,9,1,6,1,10,1,9,1,10,1,9,1,13,2,9,1,8,2,13,2,9,4,8,1,9,2,11,3,9,1,11,2,10,1,16,2,17,1,9,2,8,1,9,4,11,1,9,1,11,1,10,1,9,4,11,2,9,1,11,1,9,2,13,1,9,1,13,5,11,1,9,1,11,1,9,3,11,1,13,1,11,1,9,1,13,1,11,1,9,1,8,1,13,1,9,7,13,1,8,1,9,1,16,1,8,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,3,11,1,16,1,9,2,10,1,16,1,11,1,9,1,11,2,9,1,11,6,9,1,11,2,9,2,11,1,10,1,11,1,9,1,11,2,16,2,9,1,16,2,11,1,10,1,11,1,16,2,10,1,16,3,11,2,9,1,11,2,16,3,11,2,16,1,10,1,11,2,16,2,11,1,16,1,11,1,16,1,9,1,11,2,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,9,2,11,1,9,2,16,2,9,1,11,1,10,1,9,1,16,1,11,1,9,5,11,2,9,1,10,1,9,6,13,1,11,1,9,1,10,1,8,1,9,3,8,1,9,5,13,2,8,1,9,2,8,1,9,1,13,1,8,2,9,2,13,2,9,1,13,1,9,1,8,1,9,1,13,2,8,2,9,3,11,1,13,1,9,1,13,1,9,3,13,2,9,1,13,1,9,1,13,1,9,1,8,1,9,2,13,1,9,3,13,1,11,2,13,1,9,1,11,1,9,1,8,1,9,1,8,1,9,3,11,1,8,1,9,5,10,1,9,3,13,1,9,1,13,2,10,1,13,1,9,1,11,1,9,5,10,1,13,2,9,1,11,1,9,1,11,2,16,1,11,1,16,2,11,1,16,2,11,1,9,1,11,2,16,1,11,2,16,6,11,1,16,6,11,1,16,4,9,8,13,1,9,1,13,5,9,1,13,2,33,63,5,497,9,1,8,1,9,3,8,1,9,3,11,1,9,1,11,3,9,4,8,1,9,4,11,1,9,2,8,1,9,3,8,1,9,7,8,2,13,1,9,2,13,1,5,74,13,1,28,21,6,1,13,1,30,1,28,14,30,1,28,3,6,3,28,2,30,1,6,1,28,5,30,1,28,9,6,1,28,1,30,1,28,3,30,2,28,6,30,1,28,18,30,1,28,24,30,1,28,4,30,1,28,17,6,1,13,1,30,1,13,1,30,1,13,1,30,1,13,1,6,1,30,1,28,1,30,1,28,5,33,1,5,63,33,8,28,4,6,1,13,1,6,4,29,1,30,1,6,1,7,1,6,2,7,1,29,1,6,5,7,2,6,2,13,1,6,1,13,2,6,1,7,2,6,1,7,2,8,1,6,1,7,1,6,1,7,1,8,1,13,1,29,1,7,2,6,3,13,1,6,2,29,1,7,1,6,2,7,1,6,2,29,2,6,2,7,2,6,1,29,1,7,1,6,3,7,2,6,2,7,1,8,1,13,10,8,1,13,2,6,1,13,1,8,1,16,3,9,1,13,1,7,1,28,3,30,1,5,168,28,11,11,1,17,1,9,1,11,1,8,1,10,1,24,1,13,1,29,1,30,1,6,2,24,1,8,1,9,1,17,2,9,1,28,6,13,1,17,1,16,1,24,1,8,1,7,1,6,1,7,1,29,1,28,24,16,1,14,1,17,1,16,1,9,1,6,1,13,1,7,2,13,1,6,1,30,1,28,3,30,1,13,2,8,1,12,1,9,1,30,1,28,1,}, {29,2,28,1,29,2,6,1,7,1,13,1,11,1,16,1,10,1,8,1,13,1,6,1,13,2,8,1,14,1,29,1,28,35,30,1,28,1,29,1,8,1,9,4,17,2,8,1,6,1,7,1,28,1,29,1,28,2,9,1,17,2,10,1,24,2,8,1,7,1,8,2,7,1,29,1,13,1,24,1,15,1,8,1,7,1,6,2,29,1,13,1,17,3,11,1,15,1,11,1,9,2,13,1,9,1,11,1,24,1,17,2,16,2,17,2,14,1,10,1,6,1,30,1,28,2,30,1,28,3,30,1,28,1,30,3,28,1,29,1,6,1,28,4,30,2,28,3,6,1,9,1,12,1,8,1,10,1,9,1,17,1,16,1,8,1,13,1,6,2,7,1,6,1,29,1,9,2,17,1,14,1,12,2,9,2,8,1,24,2,9,1,8,3,15,1,9,1,15,1,13,1,28,2,30,1,28,1,30,1,28,1,30,2,28,6,8,1,9,1,10,1,11,1,16,1,11,1,16,12,11,1,16,2,9,3,11,1,9,3,8,1,9,2,13,1,9,3,13,1,8,2,13,2,6,1,8,1,30,1,13,8,6,1,30,1,7,1,13,1,7,1,13,8,9,2,8,1,9,1,8,1,9,2,8,1,9,4,13,1,9,4,13,2,9,1,13,1,9,1,13,4,9,3,13,1,9,1,8,1,13,1,9,1,13,1,9,1,8,2,9,2,11,1,8,1,9,4,10,1,11,1,9,1,11,1,9,1,10,1,16,1,9,1,8,1,9,2,13,1,9,2,11,1,8,1,11,1,9,3,13,2,8,1,16,1,9,1,11,2,9,1,16,1,8,1,16,1,9,1,11,2,16,1,9,1,11,2,9,2,10,1,16,1,9,1,11,1,9,1,10,2,11,1,9,1,11,1,9,1,11,1,9,5,11,1,9,3,13,1,8,1,13,2,8,1,9,1,8,1,9,1,8,1,13,5,6,1,13,6,9,1,13,4,8,1,13,3,9,2,13,2,9,1,8,2,13,1,8,2,9,2,13,2,8,1,9,1,8,1,17,1,13,1,6,1,30,1,6,1,30,1,7,1,28,1,30,1,29,2,28,1,25,1,28,1,25,1,30,1,28,2,27,1,28,1,30,1,28,3,30,1,28,6,30,1,28,3,30,2,28,1,30,1,29,1,28,1,29,1,28,1,29,1,28,2,6,2,28,1,29,1,7,1,28,1,6,1,28,2,29,1,28,1,6,1,29,1,6,1,8,1,26,2,29,1,27,3,28,5,29,1,28,1,29,1,28,3,30,1,28,1,30,2,29,1,28,1,30,1,28,19,30,1,28,11,24,1,28,229,30,1,28,2,30,1,28,13,30,1,28,2,29,1,28,3,30,1,28,1,6,1,13,1,11,2,13,1,9,2,10,1,11,1,8,1,16,1,9,1,11,1,10,1,16,2,13,2,9,1,13,3,9,1,13,3,9,5,8,1,9,8,16,1,9,4,11,2,9,1,10,1,9,1,8,1,13,1,8,1,9,1,13,1,10,1,9,1,11,3,9,1,11,1,9,5,11,1,8,1,9,7,11,2,9,2,13,1,9,1,10,1,9,1,11,1,9,1,11,2,9,1,11,1,16,1,11,1,16,2,11,1,17,1,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,2,16,1,9,1,10,1,8,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,4,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,2,10,1,11,4,16,2,17,1,16,1,17,1,11,1,16,1,17,1,16,1,17,1,9,1,16,1,11,1,16,2,9,1,11,1,16,1,11,2,16,1,9,1,11,1,16,1,9,1,11,1,9,5,11,4,9,2,10,1,9,1,10,1,9,2,11,2,9,2,10,1,9,1,10,1,9,1,11,5,8,1,9,8,10,1,8,1,9,2,8,1,9,3,11,1,9,1,11,1,13,1,9,1,13,1,9,4,13,1,11,1,9,1,13,1,9,3,13,1,8,1,13,1,9,1,13,2,9,2,13,1,8,1,6,1,8,1,13,2,8,1,9,1,8,1,13,1,8,1,9,2,10,1,9,3,13,1,9,1,13,1,9,4,10,1,9,8,13,1,9,1,8,1,9,1,8,1,9,3,13,1,9,1,8,1,11,1,9,1,8,2,9,2,10,1,8,1,9,3,11,1,9,1,11,1,9,3,11,2,9,1,11,1,9,3,16,1,11,3,9,1,11,3,9,1,16,1,11,1,16,9,11,2,17,1,16,5,11,1,10,1,9,1,11,6,9,1,11,1,13,1,9,1,8,1,13,2,7,1,13,2,9,1,13,1,33,64,5,496,11,1,13,1,9,3,10,1,8,1,9,4,11,1,9,8,13,1,9,2,13,1,9,1,8,1,9,1,8,1,13,1,8,1,13,1,8,2,9,3,8,2,9,2,8,1,9,1,13,1,9,1,5,72,13,1,28,21,13,2,30,1,28,14,30,1,6,1,13,3,6,1,28,16,30,1,28,6,30,1,28,1,30,1,28,2,13,1,6,1,28,2,30,3,28,1,6,1,28,11,30,1,6,1,30,1,28,3,6,1,28,24,30,2,6,1,28,4,6,1,30,1,28,16,13,1,6,2,13,1,6,2,30,1,6,1,28,1,30,2,28,5,33,1,5,65,33,7,6,1,28,3,6,1,7,1,6,1,7,2,29,2,30,1,6,2,30,1,6,2,29,1,13,1,29,1,6,2,7,2,13,2,7,1,13,1,29,1,13,1,6,1,7,1,6,1,7,2,6,1,29,1,7,1,13,1,6,3,13,2,6,3,13,1,7,1,6,1,7,1,6,1,13,1,6,1,29,1,7,1,6,3,7,2,29,1,6,1,7,1,6,6,29,1,7,1,13,1,6,1,13,1,6,1,13,6,8,1,13,5,7,2,6,3,7,1,9,1,8,1,9,1,10,1,9,1,13,1,7,1,28,1,30,1,5,167,28,10,6,1,14,1,17,1,11,2,9,1,24,1,9,1,13,2,30,2,13,1,8,1,10,1,15,1,16,1,17,1,11,1,28,6,13,1,17,2,8,2,7,2,29,1,30,1,28,24,14,2,17,1,9,2,8,2,13,1,6,1,8,1,6,2,28,2,30,1,29,1,6,1,12,1,16,1,17,1,13,1,28,2,}, {7,1,30,1,28,2,30,1,6,1,30,1,8,1,16,1,11,1,9,1,8,1,13,2,6,1,7,1,12,1,15,1,30,1,28,35,6,1,28,2,13,1,9,2,12,1,9,1,12,1,14,1,8,1,30,1,29,2,6,1,28,1,30,1,13,1,17,2,15,1,9,1,13,1,8,1,13,1,8,1,24,2,30,1,7,1,24,1,14,1,9,1,6,4,8,1,17,3,10,1,16,1,15,1,11,2,9,2,12,2,17,2,12,1,11,1,17,3,16,1,13,1,28,2,30,1,28,3,29,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,29,1,28,5,30,2,28,2,7,1,12,1,10,1,24,1,12,1,15,1,17,1,12,1,9,1,13,1,6,4,13,1,9,1,11,1,12,1,17,1,11,1,15,1,12,1,24,1,13,1,8,2,9,1,8,2,24,1,13,2,15,1,13,1,29,1,28,10,30,1,28,2,13,1,9,1,11,3,17,1,11,1,16,4,11,1,17,1,16,1,11,2,17,1,16,1,9,1,11,2,16,1,9,1,10,1,9,3,13,1,9,2,8,3,9,1,8,1,13,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,5,7,1,13,3,6,1,8,1,13,1,8,1,13,1,9,2,13,2,9,1,13,1,9,7,8,1,9,4,8,1,9,1,11,1,10,1,9,4,13,1,9,1,8,2,6,1,9,1,13,2,9,1,11,1,8,1,9,2,8,1,9,1,13,1,9,1,11,1,13,3,9,3,13,1,9,7,8,1,9,1,8,1,13,1,9,2,13,1,8,2,13,2,8,2,13,1,8,1,9,1,11,1,10,1,9,1,13,1,9,3,11,1,9,1,10,1,9,1,11,1,9,2,11,1,9,2,10,1,9,4,8,1,9,1,10,1,9,1,8,1,9,3,13,1,9,4,11,1,9,1,13,2,9,1,8,1,9,1,8,2,13,4,8,1,13,1,7,1,9,1,7,1,13,3,9,1,13,2,9,1,13,1,9,3,13,1,9,1,7,1,13,8,9,1,8,1,13,1,8,2,13,3,9,4,17,1,9,1,8,1,6,1,13,2,29,1,6,1,13,1,30,1,7,1,28,1,29,1,30,1,29,2,30,1,28,1,29,2,30,1,28,1,30,1,28,7,29,1,28,2,6,1,28,1,29,1,28,2,30,1,28,1,30,2,29,3,28,2,30,1,28,5,29,1,6,1,28,1,30,1,7,1,6,1,29,2,27,4,29,2,30,1,28,1,30,2,28,3,30,1,28,2,30,1,28,1,30,1,28,4,29,1,28,1,30,1,28,2,29,1,28,16,29,1,28,8,24,1,28,227,29,2,30,1,29,2,28,1,29,1,30,1,28,12,6,1,28,1,6,1,29,1,28,1,29,1,28,4,29,1,8,1,9,1,11,1,9,1,10,2,16,1,9,1,11,2,9,5,11,1,9,2,8,1,9,1,11,1,9,1,10,1,9,5,11,1,9,2,8,1,9,1,16,1,9,1,11,2,9,1,11,1,9,2,16,1,9,1,11,2,9,1,11,1,9,1,11,1,8,1,9,1,11,1,9,3,11,1,9,2,11,4,10,1,16,1,9,3,11,1,9,1,10,1,11,1,9,2,11,1,10,1,11,1,9,1,16,1,9,1,10,1,9,2,11,2,9,1,11,1,9,2,11,1,17,1,16,3,11,2,17,1,16,4,11,1,16,2,11,1,16,2,11,1,16,1,11,3,9,5,13,1,9,1,8,1,11,1,9,1,11,1,9,3,13,1,9,3,11,1,9,2,11,1,9,1,11,2,16,2,11,1,9,1,16,1,11,2,17,2,11,1,17,1,16,3,11,3,9,1,11,1,16,1,11,3,10,1,11,1,16,1,9,1,11,1,16,1,11,1,10,1,9,1,11,1,10,1,16,1,8,1,16,1,10,1,11,2,9,1,11,2,9,2,16,1,9,2,11,1,9,6,10,1,11,2,9,2,11,1,9,4,11,1,8,1,9,1,11,1,9,4,8,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,2,10,1,11,1,13,1,8,2,9,2,10,1,13,1,8,1,9,1,13,1,9,1,13,1,9,2,8,1,11,1,13,1,9,1,8,1,13,4,8,1,9,1,8,1,9,2,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,7,13,1,9,6,8,1,9,1,13,1,9,4,8,1,9,7,11,2,9,1,11,1,9,1,16,1,11,2,9,3,11,1,9,1,11,3,9,1,11,1,9,1,11,4,16,1,11,2,9,1,16,3,11,1,16,3,11,1,9,1,16,2,11,2,16,7,11,2,9,1,16,1,10,1,11,3,10,1,9,1,13,1,11,1,9,2,13,3,9,2,13,1,33,66,5,495,16,1,13,1,9,4,10,1,9,1,10,1,9,4,13,1,9,2,8,1,9,1,13,1,10,1,8,4,9,3,8,2,9,2,8,1,13,1,9,3,8,1,9,4,13,2,9,1,5,70,28,39,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,1,28,2,30,1,28,1,30,3,28,1,6,1,28,5,30,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,6,1,28,2,6,3,13,2,6,2,13,1,30,1,6,1,30,1,13,1,28,1,30,2,28,4,30,1,28,1,30,1,13,2,6,1,28,2,30,1,28,31,30,3,6,1,28,14,30,3,6,1,28,1,6,2,30,1,6,1,30,1,6,1,30,2,28,4,5,67,33,7,13,1,28,3,6,1,7,1,13,1,6,3,30,1,6,1,13,1,28,1,7,1,29,1,6,1,29,1,7,2,13,1,6,1,13,1,6,2,13,1,7,1,13,3,6,2,13,1,6,1,13,2,7,1,29,1,6,1,13,1,6,1,13,1,7,2,6,1,13,1,29,1,13,1,29,1,6,1,13,1,7,1,29,1,6,5,7,1,6,4,29,1,7,1,29,1,7,1,6,2,7,2,6,1,13,1,7,2,6,1,13,2,6,1,13,1,7,1,13,1,8,1,13,1,7,1,13,4,6,3,13,1,29,1,13,1,7,1,9,1,13,1,9,2,28,1,5,167,28,10,6,1,14,1,17,1,16,1,9,1,11,1,9,1,13,2,29,1,6,3,8,1,9,2,16,1,17,1,13,1,28,6,8,1,9,1,12,1,8,1,13,1,7,3,29,1,28,24,14,2,17,1,11,1,9,1,13,1,8,1,13,2,8,1,13,1,6,1,28,3,6,1,13,1,24,1,9,1,12,1,8,1,28,2,}, {29,1,30,1,28,1,29,1,6,1,30,1,28,1,13,1,9,1,17,1,9,1,29,1,7,1,6,1,7,1,13,1,8,1,15,1,13,1,28,34,30,1,28,3,6,1,9,2,12,1,8,1,16,1,14,1,24,1,6,1,29,1,30,1,29,1,8,1,28,1,6,1,17,2,9,1,24,1,9,1,8,2,24,1,8,1,24,1,6,2,9,1,11,1,12,1,30,1,29,2,6,1,13,1,17,4,16,1,15,1,9,1,8,1,9,1,8,1,11,1,17,1,12,1,17,1,16,1,17,3,14,1,16,1,13,1,29,1,28,2,30,3,28,3,30,1,6,1,29,1,28,12,13,1,15,1,12,1,10,1,17,2,15,1,9,2,7,1,13,2,29,1,28,1,6,1,13,1,12,1,14,1,17,1,11,1,16,1,11,1,8,1,24,2,8,1,9,1,24,1,8,1,6,1,9,1,10,1,14,1,6,2,30,1,28,1,30,1,28,2,30,1,28,7,13,2,9,1,11,2,9,1,16,1,11,1,16,5,11,1,16,3,11,2,9,3,11,1,9,3,13,1,10,1,8,2,13,1,9,1,8,1,9,5,8,1,9,1,8,1,13,6,9,1,8,1,9,1,13,2,9,1,8,1,6,1,8,1,9,1,13,3,8,1,9,1,13,1,9,1,13,1,9,1,11,2,8,1,9,1,11,1,9,4,8,1,9,1,13,3,6,1,13,1,9,1,13,3,9,1,8,1,13,1,9,1,8,1,11,1,9,2,13,2,9,1,8,1,9,1,8,1,13,2,9,4,13,1,9,1,13,1,9,1,13,12,8,1,13,3,8,1,13,1,9,1,8,1,9,3,8,1,13,1,9,6,11,1,13,1,9,2,13,1,9,1,8,1,9,2,10,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,13,2,8,1,13,2,8,1,13,1,8,1,9,3,13,7,7,1,6,1,13,6,6,1,9,1,13,7,9,1,8,1,13,4,9,1,13,1,11,1,9,1,13,1,9,1,13,1,8,1,9,1,8,1,9,2,13,1,9,1,13,1,8,2,11,1,17,1,9,2,13,1,30,1,29,1,30,3,6,3,29,2,30,2,27,1,30,3,28,1,29,1,30,1,28,3,30,1,28,1,30,1,28,5,29,1,28,2,25,1,28,3,29,1,28,1,6,1,30,1,29,2,28,2,30,1,6,1,30,1,28,1,29,1,7,1,30,1,7,1,6,1,29,1,25,1,6,2,29,1,27,1,30,1,29,1,28,1,29,1,28,5,29,2,28,3,29,2,28,5,29,1,28,17,30,2,28,8,24,1,29,1,28,227,30,2,28,1,29,1,30,2,28,3,30,1,28,12,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,9,2,10,1,9,1,8,1,16,1,17,1,16,1,11,1,9,4,10,1,9,5,10,1,9,3,16,1,9,2,11,1,9,1,11,3,9,1,11,2,9,1,11,2,16,1,11,3,9,3,11,3,9,3,11,3,9,1,16,1,11,3,9,1,11,1,10,1,8,1,9,2,11,2,9,7,16,1,10,1,9,1,11,1,9,1,8,1,9,4,13,1,9,3,11,2,17,1,11,2,16,2,11,2,16,1,10,1,16,2,11,2,16,2,9,1,10,1,16,1,9,1,10,1,11,1,16,1,9,1,16,1,9,1,11,4,9,1,16,1,9,4,11,1,9,1,11,1,9,1,10,2,9,4,11,4,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,3,11,5,9,1,11,1,16,1,9,1,11,2,10,1,16,1,9,1,11,1,9,1,16,1,11,1,9,1,11,1,9,2,16,1,9,1,11,2,10,2,9,1,10,1,11,1,9,2,11,1,10,1,9,3,11,1,9,1,11,1,8,1,11,1,10,2,9,1,13,1,9,1,8,1,9,5,13,1,9,1,8,1,9,2,13,1,11,1,9,1,13,2,8,1,13,1,9,1,13,1,8,1,10,1,8,1,9,1,8,1,13,2,8,2,13,1,9,1,13,1,8,1,9,1,8,1,13,4,8,2,9,1,13,2,8,1,13,1,8,1,9,2,6,1,13,1,9,3,13,2,9,1,13,1,9,1,13,1,9,1,7,1,9,3,13,1,9,6,13,1,9,3,13,1,9,2,13,1,8,2,13,2,9,1,8,1,13,1,9,1,8,1,9,1,11,1,9,3,11,3,9,1,11,1,16,2,11,1,16,1,9,3,11,4,10,1,13,1,9,1,16,1,11,1,16,2,11,1,16,1,11,1,16,2,10,1,16,1,11,1,16,1,17,1,16,5,11,1,16,1,11,5,13,1,16,1,11,1,9,1,11,1,9,4,8,1,13,3,6,1,13,2,33,66,5,495,17,1,9,1,8,2,9,2,10,1,9,3,11,1,8,1,9,3,13,1,8,4,13,1,9,1,8,2,13,3,9,1,13,1,8,1,9,1,13,2,9,1,8,2,9,3,8,1,11,1,13,2,9,1,33,1,5,66,28,17,30,1,28,5,30,1,28,15,6,2,13,1,6,1,30,1,6,1,13,1,30,1,13,2,6,2,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,3,6,1,28,1,30,2,6,1,28,2,30,1,6,1,28,1,13,1,28,1,30,1,6,3,13,3,30,1,13,1,30,1,13,2,33,1,30,1,33,2,28,1,6,1,13,2,6,2,33,2,5,1,33,1,13,1,28,1,6,2,28,31,30,1,6,1,30,3,28,15,30,1,6,1,30,1,13,1,6,1,30,1,6,5,28,4,5,67,33,8,6,1,13,3,9,2,13,2,6,1,7,1,6,2,30,1,7,1,13,1,6,3,7,1,6,1,7,1,13,1,6,1,13,1,6,1,7,2,13,1,7,1,13,1,6,2,13,1,8,1,13,2,6,1,13,1,7,4,29,1,6,2,13,1,6,1,7,1,30,1,6,4,7,1,6,1,7,3,6,1,13,1,7,1,6,5,29,1,7,1,6,2,7,1,6,2,7,1,6,1,13,1,7,4,13,1,24,1,7,1,6,1,13,1,29,1,6,2,13,2,29,1,13,2,6,1,8,1,13,2,9,1,6,1,28,1,5,166,28,10,13,1,15,1,17,1,10,1,9,1,8,2,9,1,13,1,29,1,30,1,6,1,29,1,24,1,9,1,14,1,17,2,6,1,28,6,8,1,17,1,9,1,13,1,8,1,6,1,13,1,6,1,28,25,17,2,16,1,11,1,9,2,8,2,7,1,8,1,13,1,6,1,28,1,30,3,13,1,24,1,11,1,9,1,13,1,28,2,}, {6,1,30,2,28,1,29,1,30,1,28,1,13,1,10,1,9,2,8,1,6,1,13,1,7,1,6,1,24,1,9,1,6,1,28,36,30,1,28,1,7,1,13,1,24,2,11,1,9,1,17,1,9,1,28,3,7,1,30,1,28,1,13,1,12,1,17,1,15,1,13,1,24,1,8,1,13,1,8,1,13,2,6,1,7,1,10,1,14,1,9,1,30,1,6,1,30,1,6,1,7,1,17,4,14,1,15,1,9,2,8,1,10,2,17,3,16,2,12,1,17,1,14,2,6,1,30,1,28,5,30,2,29,1,28,1,6,1,30,1,28,3,6,1,28,6,30,1,28,1,6,1,15,1,9,1,24,1,12,1,15,1,17,1,11,1,8,2,13,1,7,1,6,1,13,1,29,1,13,1,17,2,15,1,16,1,12,1,15,1,7,1,24,1,8,2,9,1,13,1,8,2,24,1,15,1,10,1,8,1,30,1,28,7,30,1,28,5,13,1,8,1,11,4,17,1,11,1,16,6,11,1,16,1,11,1,9,1,11,1,9,3,11,1,9,3,13,2,9,2,8,1,9,1,8,1,9,5,8,1,9,1,13,1,8,1,13,2,9,1,8,1,13,1,9,1,13,4,8,1,13,1,9,1,8,1,9,1,8,1,9,4,10,1,8,1,9,2,8,1,9,1,8,1,13,1,9,4,8,1,9,1,8,1,13,1,9,6,8,1,9,2,8,1,13,1,9,2,11,1,9,1,8,1,16,1,13,1,9,3,13,2,9,1,13,1,8,1,6,1,13,1,6,1,13,1,9,1,6,1,13,6,9,2,13,1,9,1,13,4,9,2,13,2,8,1,13,8,9,1,8,1,9,1,8,1,9,1,8,1,9,1,13,3,9,5,8,1,13,1,8,1,13,7,9,1,13,2,7,1,8,2,9,1,13,3,8,1,13,2,8,1,13,1,8,1,9,1,13,2,8,1,6,1,9,1,13,3,9,1,13,2,9,1,13,2,8,1,13,2,8,1,13,2,9,3,13,1,9,4,8,1,9,1,13,3,8,1,13,1,8,1,13,3,9,1,11,1,17,1,9,1,8,1,7,2,29,4,30,1,29,3,6,1,30,1,28,1,27,1,29,2,28,5,30,1,28,9,29,1,6,2,30,5,29,1,30,2,28,2,7,1,28,2,29,1,28,1,29,1,6,1,25,1,29,1,6,1,29,4,28,1,29,2,30,1,27,1,29,1,28,1,30,1,28,2,30,1,28,8,30,1,28,4,30,1,28,1,30,1,28,11,30,1,28,1,30,1,29,1,28,8,24,1,7,1,28,228,6,1,30,2,29,1,6,2,30,1,28,1,30,1,28,12,30,1,28,4,6,1,28,3,29,1,6,1,28,1,29,1,8,1,17,1,9,2,10,1,11,1,17,1,9,1,11,1,9,1,16,1,9,1,11,2,10,1,9,1,11,2,9,1,11,2,9,1,11,4,9,1,10,1,11,1,16,1,10,1,16,1,11,1,16,1,11,1,9,1,11,2,9,2,11,2,9,5,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,9,3,10,1,8,1,9,3,11,1,9,2,10,1,9,1,11,1,10,1,16,1,9,1,11,1,16,1,9,1,10,1,11,1,9,2,11,1,8,1,11,2,16,1,9,1,16,1,11,3,16,1,11,3,16,5,17,1,11,3,9,2,11,1,9,2,8,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,11,1,9,3,16,1,11,2,16,1,11,3,9,1,10,1,11,2,16,1,11,5,16,1,9,1,11,6,16,1,11,1,9,1,11,3,9,1,11,1,16,1,11,2,10,1,11,1,9,1,10,1,9,1,11,1,9,2,11,1,16,1,11,2,9,1,11,5,10,1,16,1,11,1,9,2,11,1,9,2,11,2,9,1,10,1,9,2,13,1,11,2,8,1,9,1,13,1,9,1,13,2,9,6,8,1,13,1,8,1,9,1,13,1,9,3,10,1,9,1,13,1,9,3,8,2,13,1,9,2,8,1,13,4,8,2,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,13,3,6,1,13,1,9,1,7,2,9,1,13,2,9,1,6,1,8,1,13,2,9,2,13,1,9,1,8,1,9,2,13,1,9,3,13,1,9,2,13,1,9,2,8,3,9,1,13,1,9,2,8,2,13,1,9,2,13,1,8,1,9,1,8,1,10,1,11,1,9,3,11,2,16,1,11,2,9,4,11,4,13,1,9,2,16,1,11,1,16,3,11,3,16,1,11,1,16,1,11,2,16,3,11,2,16,4,11,1,16,2,9,1,11,1,16,1,11,3,9,1,13,1,9,5,13,2,9,1,13,1,5,1,33,66,5,495,17,1,13,1,9,6,8,1,9,1,8,1,11,1,8,2,9,2,10,1,9,1,8,3,9,1,13,1,8,2,13,3,8,1,13,3,8,1,9,3,13,1,9,1,8,1,9,1,8,2,13,2,5,65,28,24,6,1,28,10,30,1,28,2,6,2,13,1,6,2,9,1,6,2,28,1,6,2,13,3,6,1,30,1,6,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,6,1,30,1,28,1,30,2,28,3,30,1,6,3,30,1,13,5,6,1,13,4,5,22,13,1,28,28,30,3,28,2,30,2,28,14,6,2,13,1,6,1,30,3,6,1,30,1,28,5,5,69,33,12,5,1,13,3,6,2,28,1,6,1,29,1,6,2,29,1,6,2,8,1,6,1,13,3,7,1,8,1,6,2,13,2,7,2,6,1,7,1,13,2,7,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,7,2,6,2,7,1,6,1,13,1,7,1,30,1,7,1,29,1,30,1,6,1,29,2,6,3,7,2,13,1,30,1,7,1,6,1,30,1,13,1,6,1,13,1,6,1,7,1,6,1,7,2,13,8,6,1,13,1,30,1,13,1,6,1,29,1,13,1,6,1,13,1,7,1,13,2,28,2,33,8,5,157,28,10,6,1,14,1,17,1,16,1,10,1,8,1,24,1,9,1,29,1,7,1,29,1,6,2,10,1,8,1,10,1,17,1,12,1,24,1,28,6,8,1,17,1,8,1,13,2,7,2,6,1,30,1,28,23,13,1,14,1,17,1,16,1,9,1,8,2,13,1,8,1,13,3,29,1,28,3,6,1,13,1,10,1,17,2,13,1,28,2,}, {13,1,29,1,28,3,29,1,28,1,13,1,11,1,17,1,9,1,13,2,8,1,6,2,9,1,24,1,8,1,28,32,30,1,28,1,30,1,28,3,6,1,8,3,10,1,11,1,17,1,8,1,30,2,28,1,13,1,28,1,13,1,8,1,14,2,15,1,9,1,13,1,24,1,13,1,9,1,24,2,29,1,30,1,8,1,15,1,10,1,30,1,6,1,30,1,6,2,12,1,17,3,10,1,16,1,8,1,11,1,8,1,9,1,17,1,9,1,16,2,11,1,9,1,14,1,12,1,14,1,15,1,6,1,30,2,28,3,30,1,28,1,30,2,29,2,30,4,28,9,7,1,9,2,24,2,14,2,17,1,9,1,13,4,6,1,13,2,12,1,17,1,16,1,12,1,11,1,9,2,8,1,13,1,8,2,12,1,8,1,13,1,8,2,14,1,7,1,28,1,29,1,30,1,28,4,30,1,28,6,13,1,9,1,11,2,9,1,16,2,11,1,16,1,11,1,16,4,11,1,16,1,11,1,9,3,10,1,9,3,13,1,9,2,8,1,9,1,13,1,8,2,9,1,13,1,9,2,10,1,9,1,8,1,9,1,13,1,9,3,13,1,9,4,8,1,9,3,8,2,9,1,13,1,9,1,8,1,9,2,13,1,9,1,13,1,9,1,8,2,9,2,8,1,10,1,9,1,13,1,9,2,13,1,8,1,9,2,13,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,8,13,1,11,1,13,7,8,1,6,1,13,7,9,1,13,1,7,1,9,1,13,1,8,1,13,5,6,2,13,1,30,1,8,1,6,1,13,2,6,1,13,2,6,1,13,5,9,1,13,1,9,1,13,2,8,1,13,1,8,1,9,1,8,2,9,1,6,1,13,1,6,1,13,6,8,1,13,2,8,1,9,1,8,1,9,3,13,1,9,1,13,2,8,1,13,4,28,1,13,4,8,1,13,3,8,2,13,1,10,1,9,1,13,1,9,2,13,1,9,1,13,3,8,1,9,2,11,1,9,1,8,3,9,1,13,1,9,1,13,1,8,1,9,5,17,2,9,1,6,2,29,1,7,1,29,1,6,1,29,1,30,1,6,1,29,2,6,1,29,1,30,2,29,2,30,1,28,2,30,1,28,3,29,1,28,3,30,1,28,3,30,1,29,1,30,2,28,1,29,1,28,1,30,1,6,1,29,1,30,1,28,1,29,1,6,1,28,1,6,2,28,1,7,2,29,1,7,1,6,1,7,1,29,1,26,1,6,1,28,1,30,1,29,4,28,2,30,2,28,5,30,1,28,1,30,1,28,4,29,1,30,1,28,8,29,2,28,14,7,1,13,1,30,1,28,228,30,1,28,1,30,3,29,1,30,1,28,1,6,1,28,1,29,1,28,16,30,3,28,3,6,2,8,1,10,1,11,1,16,3,8,1,11,4,10,1,11,3,9,2,16,1,11,5,16,1,11,1,16,1,9,1,11,1,16,1,10,2,11,1,16,1,11,1,16,2,11,3,9,2,11,1,9,1,13,1,16,1,9,2,11,1,16,1,11,3,10,1,11,1,10,1,9,2,11,1,9,1,11,1,9,2,11,5,9,6,11,1,16,1,11,4,10,2,9,2,10,1,11,1,16,1,11,1,17,2,16,2,17,1,16,1,17,3,16,1,17,1,16,4,11,3,16,2,11,4,9,6,16,1,11,2,16,1,11,1,16,1,11,3,16,2,11,2,9,2,11,2,9,1,11,1,9,1,11,1,16,1,9,1,16,1,11,1,10,1,16,2,9,1,16,1,11,1,9,1,16,1,11,1,17,1,11,7,9,2,11,1,10,1,9,3,11,2,9,1,11,1,16,1,11,1,9,1,11,2,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,17,1,9,1,10,1,11,2,13,1,9,4,13,1,8,1,10,1,8,1,9,2,13,1,9,1,8,1,9,2,8,1,9,1,13,1,8,2,9,1,13,1,9,1,13,4,9,1,13,4,9,1,13,1,8,1,13,2,8,2,6,1,9,1,8,1,13,2,9,1,13,1,9,1,10,1,13,1,8,1,9,2,13,3,8,1,13,6,9,1,13,1,8,1,9,6,13,1,9,1,13,1,9,1,13,1,9,2,10,1,13,3,8,2,13,2,8,1,13,1,8,3,9,4,11,1,8,1,11,1,9,3,11,1,9,3,8,1,11,1,9,3,11,1,9,1,13,1,11,1,8,1,16,2,11,1,10,1,11,2,16,2,11,1,9,1,11,1,16,2,11,1,16,9,11,1,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,4,13,1,9,1,13,5,5,1,33,67,5,493,9,1,16,1,9,1,8,1,9,9,13,1,9,2,8,1,9,2,8,1,13,1,8,1,9,1,8,1,13,2,9,1,13,3,8,2,13,1,6,1,13,3,6,1,8,1,13,1,8,1,13,1,7,1,8,1,9,1,5,62,28,24,30,1,6,1,28,9,6,1,30,1,13,6,6,1,13,2,6,2,30,1,6,1,30,1,13,1,9,1,13,1,30,1,28,5,30,1,28,1,6,1,30,1,6,1,30,1,28,2,6,1,30,4,28,1,30,1,28,1,6,1,13,3,30,1,13,3,6,1,13,3,5,25,33,2,28,1,30,1,28,1,30,1,28,22,6,1,30,1,6,1,28,1,30,1,28,16,30,2,28,2,30,1,6,1,30,1,6,1,28,4,30,1,5,71,33,12,6,1,30,1,13,2,6,3,13,1,7,1,6,1,29,1,13,5,7,1,6,1,13,2,7,2,6,1,7,1,13,3,6,1,7,1,6,1,7,2,29,1,13,1,30,1,29,1,13,1,7,2,6,2,7,1,6,1,7,2,6,1,8,1,13,1,6,1,7,1,29,1,6,1,7,1,6,1,7,3,6,3,29,1,6,1,29,1,7,1,6,1,7,1,6,1,7,1,8,1,13,3,7,1,13,1,7,2,13,2,6,1,13,2,6,1,13,1,7,3,13,4,28,2,33,11,5,153,28,10,30,1,14,1,16,1,9,1,11,1,9,2,12,1,6,1,30,1,28,1,6,1,13,1,9,1,24,1,9,1,17,2,6,1,28,6,24,1,17,1,9,1,13,3,6,1,7,1,28,24,6,1,17,2,16,1,13,1,9,1,8,1,13,1,8,2,24,1,13,1,6,1,28,3,13,2,9,1,12,1,9,1,13,1,28,2,}, {13,1,30,2,28,1,6,2,29,1,30,1,9,1,17,1,9,1,8,2,13,3,8,1,24,1,13,1,28,34,29,1,30,1,28,2,13,1,7,1,13,1,10,1,9,1,11,1,17,1,8,1,6,1,30,1,6,2,30,1,28,1,13,1,15,1,14,1,9,3,13,1,7,1,8,1,13,3,29,1,8,1,14,1,24,1,6,2,29,1,30,1,6,1,11,1,17,3,11,1,12,1,9,1,13,1,6,1,9,2,17,1,11,1,10,1,9,1,11,1,16,1,17,1,14,1,16,1,8,1,30,3,28,3,30,1,28,2,30,1,29,1,30,3,28,10,29,1,24,1,9,2,14,1,17,1,14,2,8,1,9,2,13,1,6,1,30,1,13,1,24,1,12,1,17,3,16,1,9,2,24,2,15,1,8,1,24,1,13,1,8,1,24,1,11,1,14,1,13,1,30,3,28,3,30,1,28,7,30,1,9,1,8,1,10,1,11,3,10,1,11,1,16,1,9,1,11,2,9,2,11,2,9,6,8,1,9,1,8,4,13,2,9,1,13,1,9,1,11,1,9,8,8,1,9,3,8,1,13,1,9,2,8,1,13,1,9,2,8,1,9,1,8,1,9,1,13,4,9,3,10,1,13,1,9,3,10,1,9,2,8,2,9,1,13,1,9,2,13,1,9,6,8,1,9,4,13,1,9,1,13,1,9,1,13,2,9,1,13,2,6,1,13,8,9,2,13,3,9,1,13,1,7,1,13,4,30,2,13,3,6,1,13,12,8,1,13,4,8,2,13,1,9,2,6,1,13,1,6,2,13,1,7,1,13,2,7,1,13,7,9,1,13,3,9,1,13,2,9,1,13,3,10,1,6,1,13,4,9,1,13,2,9,1,8,1,13,2,8,1,9,1,13,1,9,1,13,1,9,1,13,1,6,1,13,1,9,1,13,3,9,1,8,1,13,3,9,1,13,7,8,1,9,2,8,1,9,1,17,1,9,2,29,1,13,2,29,1,6,1,7,1,6,1,30,2,28,1,7,1,30,2,27,1,30,1,29,1,28,1,29,1,30,2,28,2,29,1,28,1,30,1,28,1,30,1,28,3,29,1,28,2,6,1,28,1,30,2,28,1,29,1,30,2,28,1,30,1,29,1,7,1,29,1,7,1,28,1,30,1,7,2,6,1,28,1,6,1,8,1,29,1,6,1,29,1,30,1,29,1,27,1,6,1,29,4,28,3,30,1,29,1,28,1,30,1,28,1,30,1,28,4,29,1,28,5,30,1,29,1,28,10,30,1,28,6,30,1,28,1,6,1,29,1,28,229,30,1,28,2,30,3,29,1,30,4,28,4,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,29,1,30,1,29,2,30,1,29,1,7,1,28,1,9,1,17,2,11,1,9,2,10,1,11,3,16,1,11,1,9,5,11,1,9,1,11,1,9,1,11,3,16,2,11,4,16,1,11,1,16,1,11,1,16,2,11,3,16,2,11,1,8,1,11,1,16,1,11,3,16,2,9,1,11,1,9,4,11,1,9,1,11,1,9,1,16,1,10,1,16,1,11,1,9,1,11,1,9,1,11,1,10,1,11,2,10,1,11,1,16,2,11,1,9,5,16,1,11,4,9,1,16,2,11,1,16,2,17,1,16,4,17,1,16,1,11,2,16,2,11,1,16,4,11,2,16,1,11,4,16,1,10,1,9,1,16,1,9,1,16,2,11,1,9,1,11,1,10,1,16,1,9,1,11,1,16,1,11,2,10,1,11,1,9,1,11,7,16,1,11,1,16,1,11,1,16,2,9,1,11,2,9,1,11,1,9,2,16,1,11,4,9,1,10,1,11,1,9,1,11,2,9,1,11,1,9,1,11,5,16,1,17,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,10,1,16,1,9,2,10,1,9,2,13,1,11,1,13,1,9,1,11,1,9,10,13,1,9,1,13,1,8,1,9,2,13,1,6,1,9,2,13,1,8,1,13,2,8,1,9,1,6,1,9,1,13,3,8,1,13,3,8,1,9,1,8,1,30,1,9,1,13,3,9,1,8,1,9,2,8,2,9,1,13,1,8,1,13,3,8,1,9,1,10,2,13,2,9,1,13,1,9,1,13,1,9,1,13,1,9,6,10,1,8,2,9,1,13,2,9,1,13,1,9,1,13,1,8,1,13,2,9,1,13,1,8,1,9,3,16,1,9,4,11,1,9,2,8,1,9,4,13,2,9,1,11,3,16,2,11,1,16,3,9,1,11,1,9,1,16,1,11,1,16,2,11,1,16,4,11,1,16,1,11,1,16,2,11,3,16,1,11,2,16,1,9,5,13,1,9,3,13,3,9,1,33,68,5,493,9,1,16,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,8,4,13,1,9,1,8,2,13,1,9,1,13,1,8,4,9,1,13,5,9,1,13,3,8,1,13,1,9,1,8,1,9,3,13,2,5,60,28,34,30,1,6,2,13,8,9,1,6,1,13,3,30,1,6,1,13,1,6,1,13,1,28,1,13,2,6,1,30,1,13,2,30,1,6,1,28,1,30,2,28,1,30,1,28,1,13,1,30,1,6,1,28,2,30,4,13,1,30,1,6,1,13,1,6,1,13,2,6,1,28,1,6,1,13,2,33,1,5,28,28,3,30,1,28,8,30,1,28,12,30,1,6,1,28,18,6,1,28,1,30,1,28,1,13,2,6,1,28,6,5,72,33,11,5,1,30,1,28,1,13,3,7,3,6,2,29,1,13,1,6,1,13,1,7,1,6,1,13,1,6,3,7,4,6,1,7,1,6,1,7,1,13,1,7,1,6,1,7,1,13,1,6,1,7,3,6,1,7,1,13,1,29,1,7,2,28,1,7,1,6,4,29,1,13,1,6,1,13,1,7,1,6,1,7,3,6,4,29,1,7,1,30,1,7,2,6,2,7,1,13,4,8,1,13,1,7,3,13,2,6,1,13,1,6,2,7,2,13,1,7,1,28,1,30,1,33,12,5,150,13,1,28,10,7,1,11,1,16,2,11,1,8,1,24,1,13,1,8,1,6,3,13,1,6,1,9,1,12,1,17,1,10,1,6,1,28,6,13,1,17,1,11,1,8,2,6,1,30,1,6,2,28,23,6,1,12,1,17,2,8,2,24,1,8,1,13,1,29,1,8,1,13,1,6,1,30,1,28,1,30,1,6,1,8,1,10,1,12,2,13,1,28,2,}, {7,1,28,4,29,2,6,1,24,1,12,1,9,2,8,1,24,1,7,1,13,1,24,1,9,1,13,1,28,38,7,1,8,1,9,1,10,1,9,1,17,2,9,1,30,1,29,2,28,1,6,1,28,1,6,1,15,1,14,1,9,1,8,2,24,1,13,1,8,2,13,1,6,1,7,1,8,1,15,2,7,1,28,1,30,1,28,1,7,1,9,1,17,2,16,2,11,2,8,1,13,2,9,1,11,2,9,1,16,1,11,1,12,1,17,2,14,1,9,1,30,1,28,5,29,1,28,4,29,1,28,1,29,1,28,2,30,1,28,7,6,1,24,1,12,1,24,1,17,1,15,1,14,1,16,1,9,1,7,1,6,1,7,3,6,1,11,2,17,1,16,3,9,2,11,1,8,1,13,1,8,2,13,2,9,1,15,1,14,1,13,1,30,3,28,2,30,2,28,7,6,1,17,1,9,3,11,8,16,2,9,1,11,1,9,1,11,1,9,5,13,1,9,2,13,1,8,1,13,1,9,1,13,1,9,3,8,1,9,4,11,1,10,1,9,1,10,1,11,1,13,3,9,1,13,2,9,1,13,1,9,2,8,1,9,1,11,1,13,3,9,2,13,1,9,1,10,1,9,2,10,1,9,4,8,1,9,4,8,2,9,2,13,1,9,2,13,1,9,4,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,6,1,13,4,9,3,13,1,6,1,13,3,7,1,6,1,13,2,8,1,13,10,9,1,13,5,9,1,13,1,8,1,9,1,13,1,8,1,13,3,6,2,13,1,9,1,6,1,13,1,8,2,13,4,9,1,6,1,13,1,8,1,13,4,8,1,13,1,9,2,8,1,9,1,10,2,9,1,13,5,9,1,13,2,8,1,9,1,13,3,8,2,13,9,7,2,9,1,13,1,9,3,13,1,9,1,11,2,13,3,30,1,8,1,13,1,8,2,13,1,9,1,13,1,9,5,17,2,10,1,8,1,29,1,13,2,6,2,13,1,29,2,30,2,6,1,30,1,28,1,29,1,28,1,30,1,29,1,30,1,28,1,30,1,28,8,30,1,6,1,29,1,28,1,30,2,28,1,30,1,28,1,6,1,28,1,7,1,30,1,6,1,30,1,6,1,29,1,28,1,7,2,8,1,28,1,6,2,8,1,30,1,6,2,29,1,30,1,28,1,29,1,30,3,28,3,29,1,28,1,6,1,28,1,30,1,29,1,28,1,30,1,29,1,28,4,24,1,28,2,30,1,28,1,30,1,28,1,29,1,28,3,30,1,28,2,30,1,28,5,30,1,28,4,29,1,8,1,28,229,30,1,28,1,30,1,29,1,30,3,6,1,29,3,6,1,29,2,30,3,28,3,30,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,28,2,30,1,6,3,30,2,11,1,12,1,17,2,9,2,16,1,9,1,11,1,9,1,16,2,11,3,9,1,16,1,11,1,9,2,11,4,16,4,11,2,16,1,11,1,16,3,11,3,9,2,13,1,9,1,11,1,9,1,11,2,9,1,16,1,11,2,9,8,11,2,9,1,11,3,10,1,11,1,16,1,11,1,9,1,11,3,16,1,11,1,16,1,11,1,9,2,16,1,11,2,9,2,10,1,11,1,16,1,11,3,17,1,16,6,11,2,16,1,17,1,11,1,16,2,17,1,11,1,16,6,11,1,16,2,11,2,16,1,11,1,16,2,11,1,16,1,11,2,16,3,11,1,16,3,11,1,16,1,9,1,11,1,16,3,11,2,16,1,11,2,16,2,11,1,16,1,11,6,9,5,11,1,9,2,16,1,11,1,8,1,16,1,11,4,9,1,11,1,9,1,11,1,9,7,10,1,9,1,11,4,9,1,10,1,9,5,11,1,8,2,10,1,13,1,9,3,13,1,9,1,11,1,9,1,8,1,9,3,13,3,9,1,7,1,9,1,13,3,9,3,13,1,9,1,13,5,9,2,13,2,8,1,13,3,8,1,13,2,8,1,9,1,6,1,13,1,9,1,13,2,9,1,13,3,9,1,13,3,9,1,10,1,13,1,9,2,8,1,9,6,13,1,11,1,13,1,9,1,11,1,13,1,8,1,9,1,13,1,8,1,9,1,10,1,8,1,9,1,8,2,9,1,13,1,9,3,8,1,9,2,11,1,8,1,10,1,13,1,6,1,9,1,11,1,13,1,9,7,16,1,11,2,9,1,8,1,11,1,9,1,16,1,9,1,10,1,11,1,16,5,11,1,16,1,11,3,16,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,5,13,2,9,1,11,1,13,2,9,1,13,1,33,67,5,492,33,1,11,1,9,3,8,2,9,3,8,1,13,1,8,1,9,3,8,1,10,1,8,1,9,1,8,1,9,1,8,2,13,1,9,1,13,1,8,1,13,3,7,1,13,2,8,1,13,2,9,1,13,1,9,1,13,1,8,1,9,1,16,1,28,1,5,58,28,25,30,1,28,8,13,1,6,1,13,1,6,1,13,1,6,1,13,3,6,1,13,2,6,1,13,1,9,1,13,1,6,1,13,1,9,1,30,1,6,6,28,4,30,1,28,2,13,2,28,1,13,1,30,1,28,1,6,1,30,4,28,1,13,1,6,2,13,7,28,2,30,2,6,1,5,28,13,1,28,11,30,1,28,12,30,1,28,1,30,1,28,3,6,1,28,14,30,1,28,2,6,1,30,1,28,2,30,2,28,3,5,73,33,10,5,1,13,1,28,3,13,1,9,1,13,3,7,2,6,1,13,3,8,1,7,1,13,1,7,1,13,1,6,1,13,1,6,3,7,3,6,1,7,3,6,5,30,1,7,2,29,1,13,1,6,1,13,1,6,3,7,1,6,1,13,1,6,1,7,1,6,2,13,1,7,1,6,1,29,1,7,1,6,2,7,1,6,1,7,2,6,3,7,1,29,1,13,1,6,1,13,1,29,1,7,1,6,1,7,2,13,1,6,1,7,2,6,1,13,3,6,2,13,1,30,1,13,1,33,12,5,149,6,1,28,10,29,1,10,1,14,1,16,1,12,1,8,3,7,1,30,1,7,1,28,1,7,1,8,2,9,1,17,1,16,1,13,1,28,6,9,1,17,1,12,1,13,1,7,2,13,1,6,1,28,25,17,2,16,1,8,1,9,1,8,1,13,1,8,2,13,1,6,1,28,1,30,1,28,2,6,1,9,1,12,2,17,1,13,1,28,2,}, {30,1,29,1,30,2,28,1,30,1,29,1,6,1,8,2,11,1,13,2,8,1,6,1,13,1,24,1,15,1,6,1,28,38,13,1,24,1,9,1,12,3,16,1,12,1,6,1,28,1,30,1,6,1,28,1,6,2,15,1,14,1,10,1,9,2,24,1,8,2,10,1,13,1,29,2,13,1,15,1,9,1,6,2,30,1,29,2,10,1,17,3,12,1,9,1,13,1,30,1,6,1,9,1,8,3,10,2,17,2,16,2,14,1,13,1,6,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,10,30,1,28,1,24,1,9,2,12,1,15,1,14,1,15,1,11,1,8,2,7,1,6,1,30,1,6,1,9,1,12,1,17,2,9,1,12,1,9,2,8,1,13,1,9,1,8,2,13,2,8,1,11,1,9,1,6,1,29,2,30,1,28,2,30,1,28,9,11,1,9,1,10,1,9,1,11,1,9,1,11,1,16,1,10,1,16,1,11,2,16,1,9,1,11,1,9,2,10,1,9,2,11,1,9,1,13,2,9,1,11,1,8,2,9,4,8,1,9,2,8,1,9,2,8,1,11,1,9,3,8,1,13,1,9,1,8,1,13,1,9,1,13,1,10,1,13,3,8,1,13,1,9,3,13,1,9,1,8,1,11,1,9,1,11,1,9,4,11,1,9,3,8,1,13,1,8,1,9,1,10,1,9,2,13,1,9,2,8,1,9,2,13,1,9,1,8,1,9,4,8,1,13,1,8,1,13,1,10,1,13,1,9,1,8,1,13,3,7,1,13,1,9,1,13,5,8,1,13,1,9,3,13,4,9,1,13,1,8,1,13,4,8,1,13,7,8,1,7,1,13,8,9,3,6,1,13,2,29,1,6,1,13,1,8,2,13,2,9,1,8,1,13,1,9,1,8,1,13,1,9,1,13,3,9,1,8,1,13,2,8,1,9,1,13,1,8,1,9,1,8,2,9,2,13,1,9,2,13,1,8,1,30,1,13,3,6,1,13,2,8,1,13,1,9,2,13,1,9,1,13,1,9,1,13,3,6,1,9,1,13,2,9,1,13,5,9,1,8,1,11,1,8,1,9,1,10,1,9,1,17,2,8,2,6,1,7,1,29,1,6,1,30,1,28,1,6,2,30,1,29,1,6,1,28,1,29,1,30,1,29,1,28,2,30,2,28,1,29,1,28,5,29,1,30,1,6,1,29,1,28,2,29,2,6,1,28,1,24,1,30,1,29,1,30,1,29,1,6,1,13,1,29,2,8,1,7,1,8,1,30,1,29,1,6,6,29,2,30,1,29,1,28,1,7,1,28,1,29,1,28,1,29,1,30,1,28,1,30,1,29,3,28,1,30,1,29,2,28,1,30,3,28,1,30,1,28,1,29,1,28,2,30,1,28,3,30,1,28,12,6,1,24,1,6,1,30,1,28,228,30,1,29,1,28,1,29,1,28,2,29,2,28,2,13,1,28,1,29,1,30,1,29,1,30,2,28,1,6,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,5,28,1,29,1,28,1,6,1,13,2,12,1,17,2,16,1,11,1,16,1,11,2,9,1,11,1,16,1,11,3,10,1,11,1,16,1,11,1,16,1,11,1,16,3,11,1,16,1,11,2,16,1,11,1,16,2,11,1,16,1,11,2,16,1,10,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,11,2,9,3,11,1,9,3,11,1,9,1,13,1,9,1,11,2,9,1,16,1,9,1,16,1,11,1,9,2,10,1,11,1,16,1,11,2,16,3,9,3,11,1,10,1,9,2,11,2,9,1,11,3,9,1,16,4,11,1,16,4,17,1,16,1,11,1,16,8,9,1,13,1,16,1,11,1,16,1,11,2,16,5,17,1,16,6,11,1,16,1,9,1,11,3,16,1,9,1,11,2,16,1,11,1,16,1,9,1,16,5,17,2,11,1,16,1,11,1,10,1,16,1,9,3,11,3,9,1,11,2,16,1,9,1,11,3,9,1,10,1,11,2,9,3,11,1,9,1,10,1,9,1,11,1,9,1,16,1,9,3,11,2,9,1,16,1,9,3,11,1,10,1,9,2,8,1,9,1,11,1,9,2,8,3,13,1,10,1,8,1,13,1,9,2,8,1,9,2,13,2,9,3,13,2,8,1,13,1,8,1,13,5,9,1,13,1,8,1,13,2,9,1,13,3,9,1,7,1,9,1,13,2,9,1,13,1,9,1,13,2,8,1,9,1,13,1,8,1,10,1,11,1,13,2,10,1,9,2,13,1,9,1,11,1,13,1,9,3,13,1,11,1,13,5,8,2,9,4,8,1,9,1,8,2,9,2,8,2,13,2,11,2,9,2,11,1,16,1,9,3,11,1,13,2,8,1,13,2,10,1,9,1,11,1,8,1,9,1,11,1,9,3,11,3,16,1,11,1,16,1,11,3,16,2,10,1,16,5,17,1,16,4,11,4,16,1,11,1,9,1,13,1,9,5,11,1,13,2,9,1,33,67,5,493,11,1,13,1,9,3,8,1,9,1,13,1,10,1,9,1,8,1,9,4,8,3,9,2,13,1,9,1,13,1,8,1,13,7,8,1,13,6,8,1,9,1,8,1,17,1,33,1,5,57,28,16,30,1,28,16,6,1,13,3,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,2,6,1,13,5,6,1,30,1,28,4,30,2,28,1,30,1,28,1,13,1,30,2,6,1,13,1,6,2,28,3,6,2,13,1,30,1,13,8,9,1,13,3,28,1,30,2,28,1,13,1,5,28,33,4,30,1,28,1,30,1,6,3,30,1,28,1,30,1,28,35,30,1,6,1,28,1,30,2,28,4,6,1,5,76,33,9,13,10,6,1,7,1,6,2,13,1,7,1,13,1,6,1,13,1,6,2,7,1,29,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,29,1,7,1,6,1,7,2,29,1,13,1,6,2,7,1,6,4,7,1,6,3,7,1,29,1,7,1,6,1,13,1,7,1,6,2,7,1,29,1,6,5,29,1,13,1,6,2,7,1,6,2,13,1,6,1,13,1,6,1,13,1,7,1,13,6,6,2,13,1,30,1,13,2,9,1,13,3,33,12,5,146,6,1,28,10,13,1,14,1,17,2,11,1,9,2,8,1,6,2,29,1,30,1,13,1,8,2,9,1,17,2,7,1,28,6,13,1,17,1,12,1,7,1,8,1,13,1,7,1,6,1,28,24,29,1,17,3,8,1,13,1,9,1,13,2,8,2,9,1,29,1,30,1,28,1,29,1,6,1,13,1,9,1,17,1,10,1,8,1,28,2,}, {13,1,6,1,28,2,29,1,28,2,7,1,9,2,12,1,6,2,13,2,24,1,8,1,14,1,15,1,29,1,28,37,29,1,24,1,12,1,10,1,11,2,17,1,10,1,30,1,29,2,30,1,7,1,29,2,10,1,12,1,9,1,10,1,13,1,24,1,9,1,24,1,15,1,9,1,13,1,6,1,13,1,15,2,29,2,6,1,28,1,29,1,9,1,12,1,17,1,9,3,16,1,9,1,8,1,13,1,8,1,9,1,10,1,9,1,12,1,16,1,10,1,11,1,17,2,8,1,6,1,30,1,28,4,29,1,28,2,29,1,28,1,30,1,28,3,30,2,28,8,9,3,10,1,12,1,15,1,16,1,11,1,13,1,7,1,13,1,8,1,6,1,13,2,17,2,16,1,17,1,9,1,8,2,24,1,13,1,9,1,6,1,9,1,8,1,13,1,8,1,10,1,14,1,9,1,28,2,29,1,28,12,8,1,10,1,9,1,11,2,9,1,11,1,9,1,10,1,17,1,11,1,16,1,11,4,9,1,11,1,9,3,11,1,9,3,8,1,9,1,10,1,8,1,9,6,13,1,11,1,9,7,13,1,9,1,13,2,9,1,8,1,9,1,8,2,9,1,8,1,13,1,9,3,13,1,9,3,11,1,9,2,11,2,9,1,11,1,8,1,9,4,13,1,8,1,9,1,8,1,9,1,13,2,9,2,13,1,8,1,9,1,13,3,9,1,8,2,9,1,13,2,9,2,13,4,9,1,13,1,8,1,6,1,13,1,9,4,13,1,9,6,13,1,8,2,13,1,9,1,13,1,9,2,13,1,9,1,13,3,9,1,8,1,13,7,8,1,13,1,8,1,9,1,13,2,8,1,13,8,9,1,13,1,9,2,8,3,9,1,13,2,8,1,9,3,8,1,13,2,9,1,13,1,9,1,13,1,9,2,11,1,13,1,8,1,9,1,13,2,6,1,8,1,9,2,13,1,8,1,13,1,9,1,13,2,9,2,13,2,9,1,13,1,9,1,13,2,9,1,13,1,9,2,8,2,13,1,8,1,13,5,8,1,9,6,17,2,9,1,7,2,6,1,30,1,29,1,7,1,29,1,13,1,30,1,7,1,6,1,30,1,29,1,30,2,29,2,30,2,29,1,28,1,6,1,28,2,29,1,30,1,29,1,28,1,29,1,28,2,7,1,30,1,6,1,28,1,29,2,6,1,7,1,28,1,7,1,28,1,29,1,13,1,29,1,7,3,6,2,13,1,30,1,6,1,29,1,6,1,29,1,6,1,28,2,30,2,29,1,30,1,6,1,29,2,30,1,29,2,30,1,28,2,30,1,29,1,30,1,28,1,30,1,29,1,28,1,29,1,28,4,30,1,28,6,30,1,28,6,30,1,28,4,30,1,28,2,30,1,28,232,30,1,28,1,30,2,6,2,29,1,30,6,28,2,30,2,28,6,30,2,28,2,30,1,28,2,6,1,28,1,7,1,28,1,8,3,16,1,17,6,16,1,11,1,10,1,11,1,9,1,10,1,9,1,11,1,9,1,11,2,10,1,11,3,16,4,10,1,16,1,11,1,9,1,16,1,11,1,9,1,11,2,9,3,16,1,11,1,10,1,11,2,9,1,11,1,9,1,11,1,9,5,11,1,9,1,11,1,9,1,10,1,16,1,11,2,9,1,16,1,9,1,10,1,11,1,9,1,16,1,17,1,11,1,17,1,16,3,11,1,16,4,11,1,16,2,17,1,11,1,16,1,11,1,9,1,16,1,11,3,16,6,11,1,17,1,16,4,11,1,16,2,11,1,16,1,9,1,16,1,11,2,16,1,11,1,16,1,11,1,16,3,11,1,17,1,16,6,11,2,16,3,9,1,16,1,11,1,16,5,11,1,16,1,11,1,16,1,11,3,16,4,11,4,9,1,16,1,10,1,11,4,9,1,16,1,9,1,11,1,9,2,16,1,9,1,11,4,9,1,11,1,9,3,11,2,9,2,10,1,9,1,11,1,8,1,9,1,13,1,11,1,13,1,9,2,8,1,9,3,11,2,9,2,8,1,9,1,13,2,9,1,13,2,8,1,13,1,9,1,13,1,9,1,13,3,9,1,8,1,9,1,13,9,8,1,13,5,8,1,7,1,13,1,9,1,13,1,8,1,6,1,9,2,13,1,6,1,7,1,9,1,8,1,7,1,9,1,13,2,9,2,13,3,9,1,13,1,9,1,13,2,9,1,13,1,9,4,13,2,9,2,11,1,9,3,11,1,10,1,9,9,8,1,13,3,9,2,8,1,9,1,13,2,9,1,8,1,11,1,9,11,11,1,9,1,11,1,9,1,10,1,11,3,16,1,9,1,11,7,16,4,11,2,16,1,11,2,9,1,11,1,9,2,13,1,8,2,9,4,13,1,9,2,5,1,33,65,5,493,9,3,8,1,9,2,8,1,9,4,8,4,9,2,8,1,9,2,8,1,9,1,13,2,9,1,13,1,9,1,13,1,9,1,13,4,8,1,13,3,24,1,9,2,17,1,5,57,13,1,28,31,6,1,13,3,6,1,13,4,30,1,13,2,6,1,13,2,6,1,13,2,6,1,13,1,9,1,13,2,6,1,28,2,30,1,28,3,6,1,30,1,28,3,30,1,13,2,28,1,29,1,30,1,6,3,13,1,28,1,13,1,30,1,13,1,6,1,13,4,6,2,8,1,13,2,30,1,6,3,30,1,6,1,30,1,33,1,5,32,33,1,28,2,30,1,28,3,30,1,28,16,6,1,28,2,30,1,28,3,30,1,28,15,6,1,30,1,28,3,33,2,5,76,33,12,5,1,33,1,9,2,13,2,6,2,13,1,7,1,29,1,13,3,6,2,7,1,13,3,7,1,13,1,7,4,6,1,7,2,13,1,6,2,29,1,6,5,29,1,13,1,6,1,13,1,6,1,7,1,6,2,7,4,6,2,7,1,6,7,7,1,6,4,13,1,7,2,6,2,13,1,7,3,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,2,7,1,13,3,6,1,33,14,5,143,6,1,28,10,13,1,14,1,17,1,16,1,9,2,24,1,13,1,8,1,6,1,28,1,29,1,13,1,24,1,13,1,12,1,17,2,6,1,28,6,15,1,17,1,9,1,8,1,6,1,7,1,6,1,29,1,28,24,30,1,17,1,16,1,9,1,8,3,24,2,8,1,24,1,8,1,30,1,28,1,30,1,28,1,13,2,11,1,17,1,9,1,13,1,28,2,}, {13,1,30,1,28,3,30,3,13,1,11,1,24,1,8,1,13,1,8,1,24,1,8,1,9,1,14,1,8,1,6,1,28,36,30,1,7,1,8,1,10,1,17,1,12,1,17,2,16,1,13,1,28,1,30,1,6,1,30,1,29,1,13,1,15,1,14,1,11,1,9,1,8,1,15,1,8,1,24,1,8,1,24,1,7,1,30,1,13,1,15,1,9,1,6,1,30,1,13,1,28,2,24,1,17,1,9,2,10,1,8,1,13,1,9,1,8,1,13,1,9,1,12,1,9,2,17,1,10,1,17,4,8,1,6,1,28,9,30,1,28,1,30,1,28,2,30,1,28,8,29,1,13,1,24,2,9,1,24,1,10,1,12,1,9,2,13,1,6,1,13,1,6,1,13,1,8,1,17,1,9,1,12,1,24,1,9,1,13,2,8,3,13,1,9,2,8,2,9,1,15,1,8,1,30,3,28,1,30,1,28,9,29,1,8,1,9,2,11,4,16,1,11,4,16,1,11,1,17,1,9,11,11,1,9,2,13,1,9,6,10,1,9,2,11,1,9,1,11,1,10,1,11,1,9,2,8,3,13,2,6,1,8,1,9,1,13,1,9,1,13,3,9,1,11,1,8,1,9,1,11,1,9,4,13,2,9,2,13,1,9,2,8,1,9,1,13,1,10,1,8,1,9,3,13,1,9,3,8,1,9,3,13,1,9,1,13,2,8,1,13,4,8,1,13,2,30,1,9,1,8,1,9,1,13,4,9,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,13,1,8,1,13,3,8,1,13,1,8,2,13,6,9,1,13,5,9,1,8,1,11,1,13,1,9,2,7,1,8,1,13,2,8,1,9,2,13,1,9,2,13,1,9,3,8,2,13,2,8,1,9,1,13,1,8,1,13,1,8,3,9,1,8,1,9,4,13,1,8,1,13,1,8,1,9,1,13,2,9,1,13,1,8,1,13,2,9,1,13,1,8,2,9,2,13,1,9,3,11,1,13,2,9,3,8,1,9,1,13,1,9,10,11,2,17,1,12,1,10,1,6,1,7,1,30,1,6,1,7,1,6,2,30,1,6,1,7,1,6,2,30,1,7,1,30,1,26,1,29,3,6,1,29,1,28,1,30,2,28,1,30,1,28,2,29,2,30,1,28,1,29,1,6,1,7,1,30,1,29,1,6,1,28,1,13,1,28,1,7,1,13,1,7,1,6,1,7,2,8,1,7,3,13,1,7,1,6,1,28,1,13,1,6,3,7,1,29,3,30,1,6,1,29,1,6,1,30,1,28,1,6,1,30,1,29,1,28,2,30,1,28,6,30,1,29,2,6,1,28,6,30,1,28,9,8,1,30,1,28,1,30,1,28,5,30,1,29,1,28,224,30,2,28,2,30,1,29,1,28,1,30,2,29,1,6,2,13,1,30,1,29,1,30,1,28,1,6,1,28,8,30,1,28,2,30,1,28,3,30,1,6,1,30,1,6,1,30,1,24,1,9,1,17,1,16,1,17,4,16,1,10,1,11,3,9,1,11,1,10,1,9,1,11,1,9,1,10,1,11,2,16,6,11,5,16,1,11,1,16,1,10,1,9,2,11,5,9,1,10,1,8,1,11,1,13,1,9,1,11,1,9,2,8,1,9,1,11,2,9,1,11,3,10,1,11,1,16,1,9,1,11,1,16,1,11,1,16,1,17,1,16,2,11,2,16,5,17,2,16,1,10,1,16,1,9,1,11,2,17,1,11,2,16,1,11,2,9,1,17,1,11,1,16,1,9,1,17,1,16,2,17,1,16,2,17,1,16,6,11,2,10,1,11,2,16,3,11,1,16,2,9,1,16,2,9,1,17,1,11,1,16,1,17,1,16,1,17,1,11,1,16,1,11,1,17,1,11,1,16,1,11,2,16,1,11,1,17,1,9,1,17,1,16,1,11,2,10,1,11,1,17,1,16,1,11,2,16,1,11,5,16,1,9,1,16,1,11,2,16,1,9,3,16,1,11,1,10,1,9,1,11,1,10,2,9,2,11,1,9,6,10,2,9,9,13,1,9,5,13,1,11,1,9,1,13,1,9,1,11,1,13,1,9,2,8,1,13,1,9,1,8,1,13,8,9,1,13,2,9,1,13,1,6,1,13,4,8,2,13,4,8,2,13,1,7,1,13,6,8,1,13,2,9,1,8,1,13,2,9,1,8,1,13,3,9,1,13,1,9,2,10,1,9,5,8,1,9,4,13,1,9,1,8,1,9,1,11,1,9,1,8,1,9,2,11,1,13,1,9,1,8,1,9,4,8,1,9,1,13,1,9,2,11,2,9,3,13,1,10,1,8,2,9,2,16,1,13,1,11,1,9,1,10,1,9,2,16,3,11,3,16,1,11,3,9,1,16,1,11,1,9,1,11,2,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,2,8,1,9,1,13,1,9,1,13,1,9,8,33,1,13,2,33,61,5,492,13,1,11,2,8,1,9,1,8,1,9,3,8,1,13,2,9,4,8,1,9,1,8,2,13,2,8,4,13,1,6,1,13,3,8,2,13,2,8,1,9,1,13,1,9,2,11,1,5,56,13,1,28,28,6,1,28,3,13,1,6,2,13,2,6,1,28,1,6,4,13,3,9,1,30,1,13,3,30,1,8,1,9,1,13,1,28,1,6,2,28,1,6,1,28,4,30,2,6,1,13,1,30,1,28,1,6,2,30,1,6,2,28,1,30,2,13,3,6,2,13,3,6,1,30,1,13,3,6,3,30,1,13,1,30,2,28,1,6,1,5,33,28,4,30,1,28,15,30,1,28,8,30,1,6,1,30,1,28,12,30,1,28,1,30,1,28,6,5,80,33,11,5,1,13,1,9,1,13,1,6,1,13,2,29,1,13,1,7,1,13,4,7,1,13,1,7,2,6,1,7,2,6,1,7,1,13,1,8,1,6,3,7,1,29,1,13,1,7,1,6,2,7,1,6,2,29,1,6,2,7,1,6,1,29,1,7,1,29,1,6,2,30,1,7,1,6,1,13,2,6,1,29,1,13,1,7,1,6,1,7,1,6,1,7,1,29,1,30,1,6,1,7,1,6,2,13,3,7,1,13,2,7,1,8,1,7,1,13,2,6,1,13,1,8,1,6,1,8,2,9,1,13,1,28,1,13,1,33,2,5,1,33,3,28,4,33,3,5,141,13,1,28,10,6,1,14,1,12,1,16,1,12,1,9,1,24,1,8,2,6,1,30,1,6,1,13,1,8,2,12,1,17,1,12,1,8,1,28,6,11,1,17,1,9,1,8,1,30,1,6,1,7,1,30,1,28,24,29,1,14,2,9,1,8,2,29,1,8,2,13,1,9,1,7,1,30,1,28,2,6,2,10,1,9,3,13,1,28,2,}, {7,1,28,2,30,1,28,2,30,2,24,1,10,1,8,3,24,3,11,2,8,1,30,1,28,31,30,1,28,1,30,1,28,3,6,1,24,1,12,2,9,1,12,1,17,1,8,1,13,1,28,1,6,1,30,1,6,1,29,1,6,1,15,1,12,1,9,1,11,1,24,1,9,1,13,1,24,1,10,1,9,1,8,1,6,1,13,1,14,1,10,1,13,1,29,1,30,1,28,1,6,1,24,1,12,1,17,1,10,1,9,1,11,1,9,1,8,1,9,3,17,1,12,1,11,1,9,1,17,1,16,1,12,1,17,2,9,1,6,2,28,5,30,2,28,3,30,1,28,12,24,1,8,2,9,1,24,1,12,1,17,1,24,1,12,1,13,1,6,1,13,1,7,1,29,1,13,1,9,1,12,2,8,1,9,1,8,1,13,1,8,2,7,1,8,1,9,1,13,2,8,1,10,1,9,1,13,1,30,1,28,14,13,2,10,1,11,1,9,1,11,2,16,1,11,2,16,1,10,1,16,2,10,1,11,1,9,5,11,1,13,1,9,1,10,1,8,2,9,4,8,2,9,2,8,2,9,1,11,1,9,4,11,1,8,1,9,2,8,1,13,1,8,1,13,1,8,1,13,1,9,2,8,1,13,1,9,1,11,1,8,1,9,1,11,1,9,4,11,1,9,1,13,1,11,1,13,1,9,1,13,2,9,2,13,2,9,3,13,3,9,1,8,2,10,1,9,1,13,1,9,1,8,1,13,2,8,1,9,1,13,2,6,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,13,2,9,1,8,1,9,2,11,1,9,1,13,2,9,2,13,1,9,2,13,1,9,1,13,1,8,2,13,1,8,1,13,5,9,1,8,2,13,2,9,1,13,2,9,1,13,1,9,2,13,2,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,9,1,10,1,13,2,8,1,13,4,8,1,9,3,13,1,9,1,13,1,9,4,13,1,8,4,13,1,8,2,13,3,8,1,13,1,9,2,13,1,9,4,8,2,13,2,9,2,13,2,9,3,8,1,9,1,8,1,9,1,8,2,9,1,8,1,9,5,17,3,9,1,8,2,6,1,8,1,6,1,7,1,6,2,30,1,29,1,6,2,29,1,7,1,30,1,6,1,29,1,6,1,29,1,27,1,30,1,29,1,26,1,29,1,30,2,29,1,30,1,6,2,29,1,28,1,8,1,28,1,6,1,29,2,6,1,13,1,29,1,6,2,30,1,13,1,6,1,8,1,7,1,6,1,29,2,6,2,7,1,29,2,13,1,30,1,6,1,30,1,6,3,29,1,6,2,29,1,30,1,6,1,29,1,30,2,29,2,13,1,7,1,28,1,30,1,28,1,25,1,28,2,30,1,28,4,29,1,28,12,29,1,30,1,28,232,30,1,28,8,30,1,28,1,30,1,29,1,28,1,6,1,29,2,28,1,30,1,6,1,28,9,30,1,28,3,30,1,29,1,28,2,7,1,6,4,13,1,11,1,17,6,16,1,11,1,16,1,11,2,9,1,11,1,16,1,11,3,10,2,16,2,11,1,16,2,11,2,16,4,9,2,11,1,10,1,11,1,9,1,16,1,9,2,16,1,9,6,8,1,9,1,11,1,9,2,11,1,10,1,11,4,10,1,11,1,9,1,11,3,16,1,11,1,16,3,9,1,16,1,11,1,16,2,17,1,11,1,16,3,11,4,16,1,11,1,16,2,11,1,16,3,11,2,16,1,9,1,16,1,11,1,16,1,11,1,16,3,11,2,16,1,11,1,17,1,16,5,11,1,16,2,11,1,16,3,11,1,16,1,11,3,16,1,11,1,16,2,9,2,16,2,11,1,16,3,11,1,16,1,17,1,11,1,16,2,11,1,17,1,11,1,16,1,17,1,11,3,9,2,10,1,16,1,11,3,9,1,11,1,9,1,17,1,9,2,16,1,11,1,9,1,11,1,9,4,16,1,9,4,10,1,9,1,11,1,9,6,8,1,9,1,13,1,9,3,8,1,13,1,9,1,13,1,11,1,10,1,9,3,13,1,10,1,13,1,11,1,9,2,8,1,13,1,9,2,13,1,8,2,9,1,8,2,13,1,9,1,8,1,13,2,8,1,6,1,13,2,9,1,8,2,13,1,7,1,13,3,8,1,7,1,13,5,8,1,13,2,9,2,13,1,8,1,9,1,13,4,9,1,13,1,9,3,8,2,9,2,13,1,9,1,13,2,9,1,13,1,9,2,16,1,11,1,9,2,11,1,9,1,13,1,11,1,9,2,10,1,9,4,8,1,9,1,8,1,9,4,13,1,9,2,11,1,16,2,11,1,9,4,13,1,9,1,11,1,9,1,13,1,8,1,9,1,11,1,9,1,11,4,10,1,11,2,10,1,9,1,11,3,10,1,11,1,9,1,11,2,16,1,11,1,16,1,11,2,9,1,11,1,9,1,16,1,11,1,9,4,8,1,9,3,8,1,9,2,13,1,9,2,13,1,9,1,13,1,9,1,13,2,6,1,30,1,28,1,33,55,5,493,16,2,9,1,8,1,9,7,8,1,9,4,13,1,9,3,8,1,9,1,8,1,13,2,9,1,13,1,9,1,8,1,9,2,8,1,9,2,8,1,13,3,16,1,5,55,33,1,28,32,13,1,6,1,13,3,6,2,13,2,30,1,13,1,6,1,13,1,30,2,13,1,6,1,13,1,30,1,13,4,6,1,28,2,6,1,28,7,13,2,28,2,6,1,30,1,28,1,30,1,6,2,13,1,30,1,28,1,30,1,13,11,30,1,13,1,6,3,30,4,6,1,28,1,5,33,33,1,13,1,28,6,6,1,30,1,28,9,30,1,28,11,6,1,30,1,28,14,30,1,28,1,30,1,28,2,5,80,33,12,5,1,33,1,5,1,11,1,13,3,6,1,7,1,6,1,13,2,6,1,13,1,7,1,13,2,6,1,13,1,6,1,7,1,6,2,7,2,6,2,7,1,6,1,30,1,7,3,6,4,7,3,6,1,13,1,30,1,6,2,7,1,6,3,28,1,6,1,29,2,6,2,29,1,7,1,6,6,29,1,6,1,7,3,13,2,7,2,13,6,8,2,6,1,13,2,8,1,13,2,6,1,13,1,7,1,13,2,7,1,30,1,6,1,30,1,28,4,33,1,5,140,28,11,8,1,16,1,17,1,11,1,12,1,9,2,13,1,6,1,7,1,6,1,13,1,8,3,12,1,17,1,12,1,7,1,28,6,15,1,17,1,9,1,13,2,6,2,28,25,6,1,14,1,16,1,8,1,13,3,24,1,12,1,13,1,8,1,13,1,30,1,28,2,6,1,29,1,9,1,10,1,9,1,17,1,6,1,28,2,}, {13,1,28,7,10,1,9,1,10,1,8,2,24,1,13,1,24,1,8,1,10,1,24,1,28,9,30,1,28,23,30,1,28,3,30,1,7,2,24,1,9,1,24,1,10,1,17,1,9,1,13,1,6,1,7,2,6,1,13,1,6,1,12,3,10,1,9,1,8,2,9,1,8,1,24,1,13,1,6,2,14,2,6,1,30,1,6,1,30,2,9,1,12,2,10,1,17,2,13,1,8,1,9,2,17,3,8,1,10,1,12,1,10,1,17,3,9,1,13,1,6,1,28,6,30,1,28,4,30,1,28,11,13,1,8,2,24,1,10,1,12,1,14,2,9,1,13,2,6,1,13,1,6,1,8,1,10,1,11,2,9,2,12,1,13,2,8,1,24,1,13,1,8,1,9,4,10,1,8,1,30,1,28,14,30,1,9,1,8,1,11,4,9,2,11,3,16,1,11,1,10,2,11,2,13,2,11,1,9,1,10,1,9,9,13,1,9,1,13,1,8,1,10,2,9,1,8,1,9,1,11,1,9,4,10,1,8,1,13,1,9,1,13,1,8,1,9,1,13,1,9,2,13,1,9,1,8,1,9,2,10,1,9,2,8,1,9,2,13,1,9,2,13,3,9,1,13,1,9,2,13,1,9,1,8,1,9,4,13,2,9,1,8,1,9,2,8,3,13,1,9,1,8,2,9,1,13,3,9,1,13,2,9,1,8,1,9,1,13,2,9,1,13,1,8,1,9,3,13,1,9,1,13,5,8,1,13,6,8,2,9,1,13,3,6,1,13,2,9,1,13,3,9,1,8,1,7,1,13,1,8,2,13,4,8,1,13,2,9,2,13,2,8,3,9,2,13,1,8,1,9,1,13,1,11,1,13,1,10,1,9,2,8,2,13,2,8,1,11,1,9,3,10,1,13,1,9,2,13,2,9,2,13,1,8,1,13,1,9,2,13,4,9,1,13,1,9,2,13,1,9,1,11,1,8,1,9,2,13,2,9,1,8,1,9,7,13,1,11,1,9,2,10,1,16,1,17,2,8,1,7,1,6,1,7,1,29,1,6,1,13,1,30,1,6,1,13,1,30,1,28,1,29,1,6,1,28,1,29,3,28,1,27,1,30,1,27,1,30,2,29,1,30,2,28,1,6,1,28,1,29,1,7,1,29,1,30,1,8,1,30,3,6,1,29,1,6,2,13,1,8,1,7,1,6,1,29,1,6,1,13,2,7,1,30,1,6,3,29,1,13,1,29,1,6,1,29,1,7,1,30,2,7,1,28,1,6,3,30,2,28,4,30,1,29,1,30,1,28,2,30,2,29,1,28,4,29,1,28,11,6,1,29,1,6,1,28,3,30,1,28,225,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,6,1,29,1,28,1,6,1,29,1,30,2,28,5,29,1,28,4,30,1,28,2,30,3,6,2,30,1,7,1,6,2,13,1,9,1,17,1,16,1,17,5,16,1,17,6,11,1,16,1,11,3,16,2,11,1,16,3,11,1,16,1,11,1,16,2,9,3,11,1,9,1,11,1,9,1,11,1,9,5,13,1,9,1,10,1,9,2,8,1,11,1,10,1,11,1,16,1,11,1,9,3,16,2,11,3,16,3,11,1,16,3,11,1,16,2,11,2,16,1,11,1,16,2,17,2,11,1,16,2,11,3,16,1,9,1,17,1,9,1,16,1,11,1,16,1,17,2,16,5,11,1,16,1,9,1,16,1,11,1,16,1,9,1,11,2,16,1,17,1,11,1,16,4,11,1,16,2,9,1,16,1,11,1,16,2,11,2,17,1,9,1,16,1,11,2,16,1,11,1,16,4,11,1,9,1,11,1,16,1,17,1,11,1,9,1,16,2,11,3,9,1,16,1,9,1,16,1,11,1,9,1,16,1,11,3,16,2,9,1,11,1,9,1,11,1,10,1,16,1,9,1,11,1,9,2,11,1,9,4,11,1,9,1,11,1,9,2,10,1,9,2,8,1,13,1,11,1,8,1,9,2,8,2,9,1,13,2,9,3,13,1,9,1,8,1,13,2,9,4,8,1,13,1,9,1,6,1,13,2,8,1,13,1,8,1,9,1,13,4,9,1,13,1,9,1,6,1,13,2,8,1,13,2,9,1,13,1,9,1,13,2,7,1,9,1,7,1,6,1,13,1,7,1,8,2,13,1,8,2,13,3,8,1,9,1,13,2,8,1,13,1,9,1,13,2,9,2,13,1,9,1,13,1,9,3,13,2,9,1,8,1,9,4,13,2,9,1,11,1,8,1,9,3,10,1,8,1,9,3,13,1,8,2,9,6,10,1,11,1,9,4,10,1,9,4,13,1,9,1,13,1,9,3,11,1,9,1,11,4,16,1,11,1,9,1,11,1,9,1,16,1,11,1,16,5,9,1,11,1,9,4,16,1,9,2,13,1,8,2,13,1,9,4,8,1,9,2,8,1,9,2,8,1,9,1,13,2,6,1,28,2,33,54,5,493,9,1,10,1,9,2,13,1,9,1,13,1,8,2,9,2,8,1,9,4,8,2,9,4,13,1,8,1,9,1,8,1,9,1,8,2,9,2,13,1,8,1,9,1,8,2,13,1,16,1,5,54,28,36,13,1,6,1,13,3,6,2,13,2,6,2,13,4,6,2,13,3,6,1,30,1,28,1,30,1,28,14,30,1,28,2,30,2,13,2,6,2,13,4,30,1,6,1,13,5,6,1,13,2,28,1,6,1,30,2,28,1,6,2,28,1,6,1,28,1,33,1,5,1,33,1,5,31,13,1,28,22,30,1,28,1,6,1,28,2,30,2,28,11,30,1,6,1,30,1,28,1,6,1,28,3,5,84,33,13,9,2,13,4,6,1,13,2,6,1,7,2,6,1,7,2,6,2,7,1,13,1,7,2,6,2,7,1,13,1,6,1,13,1,6,4,7,1,6,1,29,1,6,1,30,1,6,2,13,1,30,1,13,1,29,1,6,2,7,1,6,1,30,1,6,2,29,1,30,1,6,1,29,1,7,1,29,2,6,1,29,1,6,1,29,1,6,1,13,1,7,2,8,1,13,4,7,2,13,2,8,1,13,1,8,1,6,1,13,4,8,2,13,2,7,1,13,4,6,2,28,3,5,138,28,12,13,1,17,2,16,1,17,1,8,1,13,1,8,1,7,1,6,2,7,1,13,1,9,2,10,1,11,2,8,1,28,6,16,1,17,1,8,2,13,1,6,1,13,1,28,25,30,1,14,1,16,1,8,1,24,1,13,2,8,1,9,1,8,1,13,1,7,1,30,1,28,2,30,1,6,1,8,1,9,1,12,1,17,1,30,1,28,2,}, {29,2,30,1,28,2,6,1,30,1,28,1,8,1,9,2,6,2,13,1,9,1,7,1,24,1,14,1,8,1,30,1,28,37,13,1,8,1,24,1,8,1,10,1,12,1,17,1,16,1,13,1,6,3,30,1,6,1,29,1,9,1,17,1,10,1,24,1,11,1,24,1,8,2,24,1,12,1,13,1,29,1,13,1,15,1,12,1,13,1,29,3,28,1,8,1,12,1,9,1,17,1,10,1,17,1,11,1,8,1,11,2,9,1,11,1,17,1,11,1,12,1,11,2,17,3,14,1,13,1,6,1,28,3,30,1,28,5,30,1,28,13,7,1,24,3,9,1,17,1,14,1,9,2,13,1,8,1,7,1,8,1,6,1,8,1,9,1,17,1,12,1,17,3,8,1,7,1,13,1,8,2,13,1,10,1,13,1,24,1,9,1,11,1,8,1,28,15,13,1,8,1,9,1,10,1,9,1,11,1,10,1,9,1,11,1,16,1,11,1,16,1,11,4,9,1,11,1,9,3,10,1,9,2,10,1,13,1,9,1,8,1,9,1,10,1,9,1,13,1,9,3,13,3,9,1,13,1,9,8,13,1,9,1,13,1,9,1,8,1,13,1,8,2,9,2,13,1,9,4,11,1,10,1,9,1,13,1,8,3,13,3,9,1,8,1,9,4,10,1,8,1,9,1,13,1,8,1,9,1,13,2,9,3,13,1,9,2,8,1,9,2,13,1,9,2,8,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,9,2,13,1,9,3,8,2,13,1,8,1,13,1,8,1,13,4,9,1,13,1,9,2,13,2,9,1,6,1,9,1,13,3,9,1,13,2,9,1,13,1,8,1,13,1,6,1,13,2,6,1,8,1,13,5,9,1,13,1,29,1,13,1,9,1,13,1,9,2,13,1,8,1,9,1,8,1,13,1,9,1,13,2,11,1,8,1,6,1,9,1,8,3,13,1,9,2,8,1,9,2,13,1,8,1,9,2,13,1,11,1,9,1,8,1,13,1,9,1,8,1,13,1,9,1,13,2,9,3,11,1,13,1,8,2,9,1,8,1,13,1,9,1,13,2,9,5,8,1,9,1,10,1,9,1,10,1,9,6,17,3,24,1,6,1,13,1,29,1,8,1,6,2,29,1,6,2,25,1,30,1,7,1,30,1,29,1,7,1,6,3,29,1,30,1,28,2,6,1,28,1,30,2,29,1,13,1,29,1,7,1,6,1,29,2,7,1,29,2,13,1,7,1,6,4,28,1,7,1,30,1,24,1,13,1,8,1,7,1,6,2,7,2,13,1,30,1,7,1,30,1,13,1,30,1,29,1,13,1,7,1,6,1,29,1,30,1,28,1,29,2,6,2,7,1,6,1,28,1,30,1,29,1,6,1,28,1,29,1,28,1,30,1,28,1,29,1,30,1,28,4,30,1,28,7,13,1,17,1,28,228,6,1,28,13,29,1,28,4,30,2,29,2,30,2,29,1,28,5,30,1,28,1,30,2,28,2,29,1,30,2,28,1,29,2,30,2,6,1,7,1,13,2,8,1,10,1,17,8,16,1,17,3,16,1,17,1,16,1,11,1,16,1,11,3,16,6,11,3,16,1,11,2,16,1,11,2,9,2,11,1,9,4,13,1,9,2,11,1,9,4,16,1,8,1,9,1,11,1,9,2,11,3,16,1,9,1,11,1,16,1,11,1,16,1,11,1,16,2,11,2,16,2,11,1,16,2,11,1,16,1,17,2,16,1,11,1,16,3,11,1,16,2,17,1,16,1,11,1,16,12,11,1,9,1,16,1,11,2,9,3,11,1,16,1,11,1,16,9,17,1,16,3,13,1,16,3,11,3,16,2,9,1,11,3,9,2,16,5,9,1,11,3,9,1,16,3,9,1,11,1,16,1,11,3,9,1,11,2,9,1,10,1,11,2,9,1,11,1,9,3,10,1,9,1,11,1,9,1,8,1,16,1,9,1,11,1,9,2,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,3,13,1,9,1,8,3,13,1,8,1,9,1,13,7,9,1,13,5,8,1,13,2,9,1,13,5,7,1,13,1,7,1,13,2,8,1,6,1,9,1,13,3,8,1,13,7,11,1,13,8,9,2,8,2,9,2,13,1,8,1,9,1,8,2,9,1,13,1,9,2,13,1,9,4,8,1,9,2,8,1,9,2,11,1,9,2,8,2,9,1,13,2,9,6,13,1,9,6,13,1,9,3,11,1,9,1,8,1,9,2,11,2,9,1,11,1,9,1,11,1,16,1,9,1,11,2,16,1,11,1,16,1,9,1,16,6,17,1,9,1,11,3,9,1,11,1,9,1,11,1,9,1,8,1,9,1,13,2,9,1,8,1,9,3,13,2,8,1,9,1,13,1,9,2,13,1,9,2,6,1,28,2,33,54,5,493,30,1,11,1,9,6,8,1,9,1,8,4,9,1,8,1,13,1,8,1,13,1,8,1,13,2,8,2,9,1,13,1,8,1,9,2,8,3,13,4,16,1,5,53,28,26,6,1,30,2,28,1,30,1,28,5,13,2,28,1,13,6,6,1,13,1,6,1,13,1,28,1,6,1,13,2,6,1,13,4,30,1,28,8,30,1,28,9,6,1,9,1,6,1,13,3,30,1,6,1,30,1,13,2,6,2,9,1,13,2,6,2,13,2,6,4,30,1,6,1,28,2,6,2,28,6,5,32,28,6,30,1,28,5,30,1,28,9,30,1,6,2,30,3,28,1,30,1,28,10,30,3,28,3,33,1,5,92,33,7,5,1,13,1,9,2,6,2,7,2,6,2,13,1,6,6,7,2,29,1,30,1,6,2,7,2,6,2,13,1,6,1,13,1,6,4,7,1,6,3,30,1,6,2,29,3,13,1,29,1,6,1,13,1,29,1,7,1,6,3,13,1,29,1,13,1,30,1,6,1,13,1,7,1,6,1,7,2,13,1,29,1,7,1,6,1,7,1,6,4,13,1,7,1,13,1,7,1,8,1,13,1,6,1,7,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,13,3,6,1,28,1,33,1,5,137,28,12,13,1,17,1,16,1,12,2,9,1,8,1,13,1,6,2,8,1,6,1,8,1,9,2,16,1,12,1,11,1,6,1,28,6,12,1,17,1,9,1,13,1,7,2,13,1,30,1,28,24,6,1,14,1,17,1,8,5,9,1,8,1,13,2,29,1,28,1,30,1,29,1,13,1,8,1,9,1,17,2,13,1,28,2,}, {7,1,30,1,28,2,29,1,28,1,7,1,30,1,13,1,15,1,17,1,13,2,7,1,13,1,8,1,24,1,11,1,13,1,28,38,30,1,8,1,15,1,12,1,9,1,12,2,16,1,24,1,30,1,6,1,30,1,13,1,30,1,29,1,17,1,15,1,10,2,9,1,15,1,13,1,8,1,24,1,9,1,13,1,30,1,8,1,15,1,14,1,8,1,6,1,29,2,6,1,13,1,17,1,9,1,17,1,9,1,12,1,10,1,24,1,9,2,12,1,17,1,9,1,12,1,9,1,12,1,11,1,10,1,17,2,11,1,13,1,6,1,28,3,30,1,28,2,30,1,28,2,30,1,28,13,29,1,10,1,9,1,10,2,17,1,12,2,24,1,13,1,9,1,13,1,7,1,29,1,13,1,10,1,17,2,16,1,17,1,8,1,24,1,6,2,29,1,8,1,13,1,9,1,13,2,11,2,8,1,6,1,28,3,30,1,28,10,30,1,9,2,10,1,11,1,10,1,11,2,10,1,9,1,16,1,11,5,9,1,11,1,9,2,10,1,13,1,9,1,11,2,9,5,11,1,8,1,9,2,13,1,9,1,13,1,8,1,9,1,8,1,16,1,9,1,10,1,9,1,13,1,9,5,8,1,13,1,9,1,8,1,13,2,9,1,10,1,8,2,9,1,8,1,9,3,8,1,9,1,13,1,9,1,8,1,9,2,11,2,13,1,9,2,10,1,13,1,8,1,9,2,10,1,9,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,1,9,2,8,1,9,1,13,2,8,1,13,1,9,1,13,2,8,1,9,1,13,1,8,2,9,2,13,6,9,1,13,1,9,1,13,1,9,1,13,1,9,2,13,3,8,2,13,3,9,1,13,3,8,1,13,4,7,1,13,4,6,1,9,1,8,1,13,1,9,1,13,1,7,1,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,2,8,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,13,1,9,1,8,3,9,5,13,2,9,2,8,1,9,2,13,1,9,2,13,4,9,1,8,2,13,1,8,2,9,4,8,1,10,1,9,1,13,1,16,1,13,2,9,1,13,1,9,5,13,2,9,5,16,1,17,1,11,1,16,1,10,1,13,1,7,1,6,2,8,1,13,2,6,1,7,1,6,1,29,1,6,1,28,2,6,1,29,1,7,1,29,1,30,1,7,1,30,2,6,2,29,1,6,1,30,1,29,1,6,2,7,1,6,1,30,1,6,1,8,1,30,1,8,1,7,1,13,1,30,1,8,1,6,1,7,1,13,1,8,1,7,1,24,2,29,1,8,1,13,2,8,1,30,1,13,1,8,1,6,1,13,1,6,1,7,1,13,1,8,1,29,3,6,1,29,1,7,1,6,1,30,1,29,1,28,1,6,1,30,2,28,1,6,1,30,2,26,1,29,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,3,12,1,6,1,28,1,29,1,28,1,30,1,28,6,30,1,28,3,29,1,28,212,30,2,28,15,30,2,28,1,30,1,28,1,7,2,29,2,28,2,30,1,28,3,30,1,28,3,30,1,28,2,30,2,28,2,6,1,30,1,29,1,6,1,30,1,7,1,8,2,7,1,13,1,17,7,16,1,17,6,11,3,16,1,11,1,16,6,11,4,9,2,11,2,9,1,11,4,9,3,10,1,9,1,11,1,9,1,11,1,9,2,11,1,9,5,11,5,9,1,11,1,16,1,11,1,16,2,17,1,16,8,11,1,17,1,16,10,9,1,16,2,11,1,16,3,17,1,16,2,17,1,11,1,17,1,16,4,11,1,16,2,11,2,16,1,11,3,16,3,11,1,16,2,11,2,9,1,16,1,11,1,16,2,9,1,16,6,11,4,16,2,11,5,16,1,11,1,16,1,11,2,17,1,16,1,11,3,16,2,11,1,10,1,16,1,11,3,16,1,11,1,10,1,11,1,9,1,11,2,9,1,11,2,9,1,11,2,9,1,11,1,9,2,11,1,9,2,10,1,9,4,8,1,9,5,13,1,9,3,8,1,9,1,13,2,9,3,13,1,9,3,13,3,8,1,13,1,9,1,13,2,6,1,13,5,8,1,13,1,9,1,13,1,9,1,13,5,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,3,7,1,9,1,13,2,8,1,9,1,13,1,8,1,13,2,9,3,6,1,9,1,13,1,11,1,13,1,9,1,13,2,9,1,13,1,8,3,9,1,13,1,9,1,13,1,8,1,9,3,11,1,9,1,8,1,10,1,8,1,11,2,9,2,11,1,8,1,9,2,10,1,16,1,13,1,9,2,13,1,9,1,8,1,11,1,9,1,13,1,11,1,9,2,11,2,9,3,11,3,16,1,9,2,11,3,16,1,11,1,9,2,16,1,11,1,16,1,11,1,16,2,11,1,16,4,11,2,9,1,11,1,9,1,16,2,11,1,9,4,13,1,9,2,13,1,9,2,8,1,9,7,13,2,30,1,28,1,33,55,5,492,13,1,16,1,10,1,8,4,9,3,8,1,13,1,9,1,8,1,13,1,8,3,9,1,10,1,8,2,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,6,9,1,5,53,28,26,30,1,28,9,30,1,6,2,13,2,30,1,13,1,9,1,13,3,6,1,13,1,9,1,13,2,6,1,13,6,28,7,6,1,28,6,30,1,28,1,30,1,28,2,6,1,13,2,6,1,13,2,9,1,6,1,13,1,6,1,13,2,6,1,9,1,13,1,6,3,13,3,30,1,13,2,30,1,28,2,30,1,6,2,13,1,30,2,28,1,6,2,5,3,33,1,5,28,33,5,28,19,30,1,28,1,30,2,6,1,28,11,6,1,28,5,5,93,33,9,5,1,9,3,6,1,13,1,8,1,7,2,6,3,13,1,6,2,7,1,13,1,6,3,29,2,7,1,6,1,7,1,13,1,6,1,13,1,8,1,6,1,13,1,7,1,28,1,7,1,6,1,7,1,30,1,6,1,7,1,6,5,7,2,6,1,30,1,7,1,13,1,7,1,6,1,7,1,13,1,7,1,6,2,7,2,6,5,29,1,30,4,6,1,7,2,6,3,7,1,28,2,29,2,13,1,6,1,7,1,6,1,29,1,6,3,28,1,33,1,5,137,28,12,9,1,17,1,11,1,17,1,9,1,8,1,9,1,13,1,8,1,6,1,28,1,13,1,8,3,12,1,16,1,9,1,13,1,28,5,13,1,14,1,17,1,12,1,7,1,6,1,13,1,29,1,28,10,30,1,28,14,6,1,14,1,17,1,12,1,9,1,24,1,13,1,24,4,13,1,28,3,30,1,13,1,24,1,8,1,12,1,17,1,29,1,28,2,}, {9,1,29,1,28,1,29,2,28,1,30,1,29,1,13,1,12,1,24,1,13,1,6,1,13,2,24,1,9,2,24,1,30,1,28,36,30,1,29,1,8,1,24,1,12,1,24,1,10,1,12,1,17,1,8,1,6,3,30,1,6,2,15,1,14,1,12,2,9,1,13,2,9,1,8,1,24,1,9,1,30,1,7,1,9,1,14,1,8,1,28,1,13,1,29,1,30,1,24,1,11,1,12,1,17,1,11,1,17,1,11,1,17,1,10,1,24,1,17,2,9,1,17,1,10,2,12,1,17,1,16,1,17,1,16,1,13,1,28,1,30,1,28,4,30,1,28,5,30,1,28,11,6,1,24,1,10,1,9,1,12,1,17,1,12,1,14,1,10,1,8,2,13,1,7,2,24,1,12,1,17,2,16,1,12,1,24,1,13,3,8,3,13,1,6,1,10,1,12,1,15,1,24,1,28,1,30,2,28,1,30,1,28,10,30,1,13,1,8,1,11,2,10,2,11,1,10,1,16,1,11,4,10,1,9,1,11,2,9,2,10,1,9,2,11,1,8,1,9,3,10,1,13,1,9,1,10,1,9,2,8,1,9,2,13,1,9,1,10,2,9,4,11,1,13,1,11,3,9,1,8,1,13,1,9,3,13,1,8,1,9,5,10,1,9,4,11,2,9,1,11,1,9,1,11,1,9,4,8,1,16,1,9,2,13,1,11,1,9,1,8,1,13,1,11,1,13,1,9,4,8,1,9,3,13,2,9,1,8,1,13,2,9,1,13,2,9,1,13,3,9,1,13,2,9,2,13,4,8,1,9,1,13,3,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,13,3,9,1,8,1,13,2,6,1,13,2,9,1,13,8,8,1,13,2,7,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,13,1,10,1,13,1,8,1,13,4,9,1,8,1,9,1,11,1,9,4,8,1,9,1,8,1,13,2,9,5,13,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,13,1,9,6,8,1,9,1,6,1,11,1,9,1,8,1,9,8,8,2,9,1,8,1,11,1,16,1,17,1,16,1,9,1,24,1,6,1,7,1,29,1,6,1,29,1,6,1,30,1,8,1,6,2,29,2,6,1,7,2,29,1,6,3,30,1,6,2,13,1,6,1,7,1,6,1,30,2,7,1,30,1,29,1,7,1,6,3,29,2,7,2,30,1,7,1,13,1,8,1,7,1,13,1,7,1,12,1,7,1,29,1,8,1,7,2,6,7,13,1,29,1,6,1,29,1,6,1,30,4,29,1,30,1,29,1,28,2,6,1,28,3,25,1,29,1,28,3,27,1,29,1,28,1,29,2,28,4,29,1,30,1,28,15,29,2,28,210,30,1,28,20,29,1,30,1,28,1,6,1,30,1,6,1,28,8,29,1,28,3,29,1,28,1,30,1,28,1,29,1,6,1,28,1,30,1,6,1,7,1,6,1,29,1,6,1,24,1,9,1,13,1,11,1,17,2,11,1,17,12,16,7,11,1,9,2,11,3,9,2,11,2,9,1,11,2,9,2,11,1,10,1,11,1,16,1,9,1,10,1,11,2,9,2,11,1,9,2,11,1,9,1,16,1,9,2,11,1,16,1,11,1,16,4,11,1,16,1,11,1,16,2,11,1,16,5,17,1,16,2,17,1,11,2,16,7,11,3,16,1,17,1,9,1,16,3,11,1,16,2,11,1,16,6,9,1,17,1,11,1,16,1,11,1,16,1,11,1,16,3,11,2,16,1,11,3,16,1,11,1,16,2,11,1,16,5,17,1,16,2,10,1,16,3,11,1,16,3,11,1,16,2,11,1,9,1,16,1,11,1,10,1,16,1,9,1,16,2,9,1,11,7,16,1,11,1,9,1,11,1,9,1,11,2,16,1,11,1,9,2,11,1,10,1,9,1,10,2,9,3,13,1,9,2,13,1,8,1,9,3,13,2,9,4,11,1,9,5,8,1,10,1,13,1,9,1,8,1,9,1,13,2,9,1,13,2,9,1,13,1,9,1,6,1,13,2,6,1,8,1,13,4,9,1,8,1,9,1,13,1,9,1,8,1,13,3,9,1,13,3,8,2,13,4,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,2,8,1,6,1,9,2,13,2,9,2,8,1,9,1,13,1,8,1,9,2,8,1,11,1,13,3,9,1,13,1,9,1,13,1,16,1,9,2,11,1,9,2,16,1,8,3,11,1,9,1,6,1,8,1,13,1,8,1,11,1,13,1,9,5,8,1,10,1,9,1,8,1,11,1,9,7,16,1,11,4,16,2,11,2,16,3,11,1,16,1,11,3,16,1,9,1,16,1,11,2,16,1,9,1,13,1,11,2,9,5,13,2,9,2,13,1,9,1,8,1,9,3,13,1,9,2,13,2,6,1,13,1,33,55,5,492,13,1,11,1,8,1,9,2,8,3,9,3,8,3,9,2,8,1,13,1,8,4,9,1,8,1,9,2,13,1,8,1,13,2,9,1,13,1,30,1,8,1,9,1,5,52,13,1,28,26,6,1,28,10,30,1,6,1,13,2,6,1,8,1,13,2,9,1,6,1,13,1,6,1,28,1,13,1,6,1,13,2,6,1,13,2,28,1,30,1,28,3,30,1,6,1,28,2,30,1,28,6,30,1,28,5,30,1,28,1,30,3,28,1,30,1,28,1,30,2,13,3,6,1,13,2,6,1,13,2,28,1,13,1,6,3,30,1,28,1,6,2,30,2,28,1,6,1,30,1,6,1,28,9,5,1,33,1,5,29,33,1,28,5,30,1,28,3,30,1,28,9,30,1,28,1,30,1,28,12,30,1,28,3,5,104,33,3,9,1,13,3,7,1,8,1,13,1,29,1,7,1,6,1,7,1,6,2,7,1,6,2,7,1,6,2,13,1,6,1,29,1,6,2,13,1,6,1,8,1,6,1,7,3,13,1,7,2,6,1,7,1,6,1,13,2,7,1,6,1,7,2,6,2,30,1,6,3,7,1,30,1,6,7,29,2,30,2,6,1,29,1,30,1,29,1,6,1,7,1,6,1,7,1,29,1,30,4,28,1,30,1,6,1,29,1,6,2,7,1,13,1,6,1,13,1,33,1,5,136,28,12,12,1,17,1,12,1,17,1,9,2,13,3,6,1,7,1,6,1,8,1,9,1,8,1,11,1,17,1,11,1,28,7,14,1,17,1,9,1,13,1,6,1,13,1,6,1,29,1,28,6,30,1,28,17,6,1,17,2,10,1,8,1,24,1,13,1,8,1,24,1,13,2,7,1,28,1,30,1,28,1,30,1,6,1,9,2,16,1,9,1,29,1,28,2,}, {8,1,6,1,28,1,30,1,28,1,30,1,29,1,30,1,13,1,17,1,9,1,13,2,6,1,8,1,13,2,9,1,8,1,30,1,28,31,30,1,28,6,8,2,9,3,17,2,8,1,13,1,6,1,29,1,6,1,13,1,29,1,8,1,14,1,12,1,10,1,8,1,13,1,8,1,7,1,8,2,13,1,6,1,7,1,15,1,14,1,9,1,29,2,28,1,6,1,7,1,17,2,10,1,12,1,11,1,12,1,9,1,11,1,12,2,16,1,17,2,12,1,11,2,16,1,17,2,16,1,8,1,30,1,28,5,30,1,28,17,29,1,24,1,12,2,17,2,15,1,11,1,8,1,13,1,6,2,30,1,28,1,13,1,16,1,17,4,24,1,8,1,13,1,24,1,9,2,24,1,13,1,8,2,14,1,12,1,15,1,13,1,28,2,30,1,28,11,29,1,9,2,11,1,10,1,16,1,11,2,9,1,11,8,9,1,16,1,9,1,16,1,10,1,9,6,13,1,9,1,8,3,9,8,11,2,9,2,16,1,9,2,10,1,13,1,11,2,8,2,13,2,8,1,9,2,13,1,11,1,8,1,10,1,9,2,10,1,9,4,10,1,9,5,11,1,9,1,11,1,13,1,9,1,16,1,13,2,9,5,11,1,9,2,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,4,9,2,13,2,9,1,13,1,9,2,8,1,13,1,9,1,13,3,9,1,8,1,13,1,6,1,9,1,8,1,13,3,8,1,13,1,8,1,11,1,13,1,8,1,9,2,13,4,9,1,13,7,8,1,13,3,9,1,7,1,13,4,8,1,9,2,13,1,10,1,13,1,8,1,13,1,9,3,8,1,9,1,8,1,9,1,13,1,9,2,13,1,9,1,13,1,9,1,13,1,10,1,8,1,9,5,13,1,9,2,8,3,13,1,8,1,13,1,8,2,13,1,9,8,13,1,9,1,8,1,9,2,13,4,9,1,13,1,8,1,9,5,11,1,9,1,8,2,13,1,9,2,11,1,17,3,13,1,6,1,13,1,7,1,13,3,6,1,7,2,13,1,29,1,30,2,7,1,29,1,7,1,29,1,7,1,30,1,8,1,29,1,6,1,30,1,8,1,30,1,29,1,6,1,13,1,7,1,6,1,29,1,30,1,7,1,6,1,7,1,6,1,7,1,6,2,24,1,6,1,8,1,30,1,13,1,7,1,8,1,24,1,8,1,6,1,30,1,13,1,7,1,6,1,13,1,7,1,8,1,13,1,7,1,6,1,30,1,13,1,30,1,7,3,30,1,6,2,30,1,6,1,29,2,6,1,30,1,28,1,6,1,28,1,29,1,30,3,29,1,28,1,6,1,28,2,29,1,28,3,24,1,28,6,29,1,30,2,28,2,30,1,28,1,30,1,28,229,29,1,28,8,30,2,28,1,6,1,28,2,30,1,29,1,28,3,29,1,28,5,29,1,30,1,28,1,30,1,28,1,29,1,6,1,30,1,7,1,29,1,13,1,7,1,24,1,13,1,9,1,17,4,16,1,17,11,16,2,11,1,16,5,11,2,10,1,11,2,9,1,13,1,16,1,11,2,16,1,9,1,10,2,11,2,8,1,11,1,9,3,11,5,9,2,16,1,9,1,11,1,16,8,17,1,16,6,11,1,16,5,11,2,16,2,17,1,16,1,11,1,16,1,11,2,17,1,16,7,9,1,11,2,16,4,10,1,11,4,17,1,11,1,17,1,16,1,17,1,16,4,17,1,16,3,11,1,16,2,11,2,16,1,9,1,11,1,17,1,16,3,11,8,9,2,16,1,11,4,16,2,11,1,17,1,9,1,11,1,16,1,11,4,16,1,11,3,16,1,10,1,11,3,9,1,11,1,9,1,11,1,9,1,11,4,9,1,11,2,9,4,13,1,8,2,9,1,8,1,9,1,8,1,9,1,13,1,9,2,13,2,9,1,8,1,11,1,9,2,8,2,9,1,8,1,9,1,13,2,8,2,13,1,11,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,13,3,9,2,13,2,9,1,13,1,8,4,9,1,8,1,13,1,8,2,13,4,9,1,13,1,9,1,13,3,8,1,9,3,8,1,9,1,10,1,9,1,13,1,8,1,13,1,9,3,13,1,9,2,8,2,9,1,8,2,9,2,8,1,16,1,9,1,13,4,9,1,11,1,9,1,11,2,9,2,13,2,8,1,16,1,8,1,9,3,13,1,10,1,9,1,8,1,9,1,10,1,9,1,11,1,9,7,11,1,9,1,11,2,9,1,11,2,9,1,16,1,11,1,16,6,9,1,16,4,11,2,16,3,11,1,16,2,11,1,9,1,11,2,9,4,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,13,5,6,1,28,1,13,1,33,54,5,491,28,1,9,1,11,1,13,1,9,2,10,1,13,1,9,2,8,1,13,1,9,2,8,4,9,1,13,1,9,1,8,2,10,1,9,3,8,1,9,1,13,1,8,2,13,1,11,1,16,1,5,51,6,1,28,27,30,1,28,11,13,1,30,1,6,1,13,9,9,1,6,1,13,2,30,1,13,1,9,1,6,3,28,1,30,1,28,4,30,1,6,1,28,1,6,2,30,1,28,1,30,1,28,1,30,1,28,3,13,1,28,6,6,1,30,3,13,5,6,1,13,2,6,2,13,1,6,3,13,1,28,1,30,1,6,2,13,1,30,1,6,2,30,1,28,11,33,1,5,31,28,7,30,1,28,27,5,106,33,2,5,1,9,2,28,1,30,1,13,1,8,1,13,2,6,1,13,1,7,1,13,2,7,2,6,1,7,1,6,2,13,2,7,1,13,2,7,1,13,1,6,1,13,2,29,1,13,1,7,2,6,1,7,1,6,1,7,1,13,1,6,1,7,1,13,1,6,1,7,1,6,1,7,1,6,2,29,1,7,1,29,1,7,1,6,1,7,1,6,2,30,1,29,1,28,1,30,1,28,1,29,1,30,2,29,1,6,2,30,3,28,2,29,1,28,1,6,7,7,1,13,2,33,2,5,134,6,1,28,11,30,1,15,1,17,1,12,1,10,1,24,1,9,1,24,1,13,1,7,1,6,2,13,4,12,1,17,1,10,1,28,7,14,1,17,1,9,1,7,1,6,1,8,1,13,1,30,1,28,24,8,1,14,1,17,1,10,1,9,1,24,1,8,1,24,1,9,1,13,1,24,1,29,1,30,1,28,1,30,1,28,1,8,1,13,1,9,1,17,1,12,1,13,1,28,2,}, {13,1,6,1,30,1,28,1,30,1,29,1,6,1,29,1,13,1,10,2,8,1,29,1,13,1,6,1,24,1,13,2,9,1,30,1,28,35,30,1,28,1,30,1,13,1,24,1,8,1,9,2,12,1,17,1,8,1,6,1,13,1,6,1,13,2,30,1,24,1,12,1,17,1,8,1,24,1,8,1,13,2,24,1,13,2,30,1,13,1,10,1,14,1,13,1,6,1,29,1,30,1,6,1,13,1,9,1,17,1,9,1,12,1,17,2,9,2,10,1,17,3,12,1,17,1,11,1,17,4,14,1,13,1,6,2,28,6,30,1,28,16,7,1,24,2,17,1,10,2,9,1,8,1,6,1,13,1,6,1,29,2,7,1,12,1,17,4,8,1,13,1,8,1,10,1,8,4,13,2,9,1,14,1,8,1,6,1,28,2,30,1,28,1,30,1,28,9,6,1,9,2,11,1,9,1,11,1,16,1,11,3,16,2,11,5,9,1,16,1,9,1,11,1,9,3,10,1,13,1,9,4,11,2,13,1,9,3,13,1,9,1,10,2,16,1,9,1,11,2,9,1,16,2,11,1,16,1,9,4,13,1,9,1,13,1,9,3,11,1,9,2,13,1,11,1,10,1,11,2,9,1,11,1,9,1,10,1,9,1,11,1,9,1,13,1,9,1,10,1,13,1,10,1,9,1,13,1,11,1,13,1,9,1,10,1,9,3,11,1,9,1,11,2,9,3,10,1,13,1,9,2,13,2,8,1,13,1,7,1,13,1,8,1,9,1,13,1,9,1,8,1,13,2,9,2,13,2,8,1,13,4,7,1,6,1,13,2,9,2,13,1,9,1,8,1,9,1,8,1,13,5,7,1,13,1,8,1,9,1,6,1,13,2,9,1,13,1,9,1,7,1,13,1,6,1,13,1,6,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,13,2,8,1,9,2,13,1,10,1,8,1,13,1,9,1,13,1,9,1,13,1,16,1,8,1,9,3,13,1,9,1,11,1,9,1,8,1,9,2,13,2,10,1,13,1,8,1,13,2,8,1,9,1,13,3,9,2,10,1,9,2,8,2,9,1,13,5,8,1,13,1,8,1,13,1,9,2,13,1,9,1,13,2,8,1,9,3,17,3,9,1,13,2,6,1,13,1,6,1,29,1,6,1,13,1,6,1,7,1,6,1,7,1,13,1,29,1,30,1,8,1,6,1,7,1,13,1,6,2,13,2,6,3,7,1,29,1,13,2,9,1,6,1,13,1,6,1,13,1,6,1,13,1,7,2,6,1,8,1,13,1,8,1,13,2,29,1,8,1,24,1,6,1,7,1,13,2,7,1,6,2,7,1,8,1,6,3,8,1,13,2,7,2,28,1,6,1,30,1,6,1,29,1,30,1,28,1,30,2,6,1,28,1,6,1,30,4,6,1,30,1,6,1,29,3,30,1,6,2,28,8,30,1,28,1,29,1,28,155,30,1,28,85,6,2,29,1,28,6,6,1,29,1,30,1,28,4,30,1,28,2,29,1,30,3,28,1,6,1,7,1,30,1,29,1,13,1,29,1,6,1,8,1,13,1,17,1,12,1,16,1,17,6,16,1,17,11,16,1,11,2,10,1,11,1,16,1,11,3,9,1,11,1,16,1,9,2,11,1,10,1,11,2,16,1,9,1,11,2,16,1,9,2,11,1,9,3,11,2,9,1,11,1,16,6,17,1,16,6,11,4,16,2,11,1,16,6,11,1,16,3,11,1,16,5,11,1,16,1,11,1,9,1,11,2,9,1,11,4,17,1,10,1,11,3,16,2,17,1,16,2,17,1,16,2,17,1,16,1,17,2,16,1,17,1,16,3,17,1,11,2,16,1,11,1,16,2,11,6,16,1,9,1,16,1,11,5,16,2,11,1,16,1,11,1,16,1,11,2,16,3,11,2,16,1,11,1,17,1,11,3,9,1,11,1,9,1,11,1,9,1,16,1,11,1,10,1,11,2,9,1,10,1,9,2,10,1,8,1,9,4,13,1,9,3,10,1,9,1,10,1,9,1,8,1,9,1,13,1,9,1,13,1,9,2,8,2,9,1,13,1,9,3,8,2,13,1,9,1,6,1,8,1,13,3,9,2,8,1,10,1,8,1,13,3,8,1,13,7,8,1,6,2,13,1,9,1,8,1,13,2,9,1,13,2,9,1,13,2,9,1,13,3,9,2,8,2,10,1,9,1,8,1,13,2,9,4,11,1,9,1,8,1,9,1,13,1,9,3,6,1,9,1,13,2,9,1,13,1,9,3,11,1,9,3,11,1,13,1,11,1,9,1,17,1,11,2,13,1,9,9,11,1,10,1,9,1,11,1,9,5,11,1,9,2,11,2,9,1,16,1,11,1,16,5,11,2,16,1,9,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,9,2,10,1,9,1,11,1,9,1,11,1,9,3,13,2,9,2,13,4,8,1,13,1,9,1,13,2,6,1,28,1,6,1,33,54,5,490,28,1,13,1,16,1,8,1,9,1,8,1,9,2,8,2,9,2,8,1,13,1,9,3,13,1,9,1,8,1,13,1,9,2,13,1,9,1,8,2,13,1,8,1,13,2,8,1,9,1,11,2,5,50,13,1,28,28,30,1,28,1,6,1,28,7,13,1,28,1,30,1,28,1,30,1,13,3,6,1,13,3,30,1,13,8,6,1,13,1,30,2,6,1,28,1,9,1,13,3,28,1,30,1,28,1,30,2,28,2,30,1,28,4,6,1,28,1,6,1,28,5,30,1,28,2,6,1,13,2,6,1,13,2,6,2,9,1,13,9,9,1,6,3,13,1,6,2,28,11,33,1,5,31,33,2,13,1,28,1,30,1,6,1,30,3,28,23,30,1,28,1,5,2,28,1,5,106,33,3,28,3,30,1,28,1,13,1,6,1,13,4,8,1,13,5,6,2,13,4,6,1,13,1,6,1,7,1,6,1,7,1,6,2,13,1,29,1,7,2,6,1,13,5,6,1,13,1,6,1,13,1,6,3,7,1,29,2,30,3,29,2,30,1,6,1,29,2,30,3,29,1,30,2,28,2,30,1,29,3,30,1,6,1,7,1,30,1,29,1,6,1,13,1,9,1,33,2,5,134,28,12,30,1,15,1,16,1,17,2,11,1,9,2,6,1,7,1,6,1,13,4,8,2,17,1,11,1,28,6,6,1,15,1,14,1,10,1,6,1,13,1,7,1,6,1,29,1,28,1,30,2,28,21,16,1,17,2,9,1,24,1,13,1,8,1,24,2,8,1,13,2,28,2,30,1,29,1,6,1,8,1,11,1,17,1,9,1,29,1,28,2,}, {8,1,13,1,28,1,30,2,28,1,29,1,28,1,8,1,10,2,24,1,8,1,13,1,6,1,8,3,11,1,28,38,30,1,13,1,8,1,13,1,12,1,10,1,17,1,12,1,9,1,13,2,6,1,13,1,30,1,8,1,11,1,17,1,11,1,9,3,24,1,13,1,8,2,29,1,6,1,13,1,8,1,17,1,13,2,29,2,30,1,13,1,17,2,12,3,17,1,9,1,8,2,9,1,17,1,12,1,17,1,12,1,11,1,17,5,13,1,28,2,30,1,28,22,13,1,24,1,12,1,17,1,12,1,17,1,10,1,8,1,6,1,9,1,30,1,6,1,30,1,13,1,12,1,16,1,17,3,10,1,8,1,13,1,8,1,24,1,9,1,8,1,24,1,8,2,12,1,14,1,9,1,7,1,28,1,30,1,28,1,30,1,28,10,6,1,12,1,9,2,11,4,16,1,11,5,16,1,11,3,9,2,11,1,10,1,9,3,11,1,10,1,13,1,9,4,13,1,11,1,9,2,11,1,9,1,11,4,16,1,10,2,11,2,9,6,13,1,11,1,9,4,10,1,11,3,9,6,10,1,9,5,11,1,9,1,8,3,11,1,8,1,13,1,9,2,16,1,9,1,11,1,9,1,11,3,9,2,13,3,8,1,9,1,13,1,8,2,9,1,13,2,9,1,8,3,9,1,13,1,9,1,8,1,13,1,8,1,13,9,8,1,13,5,9,2,13,2,8,1,13,1,6,1,13,3,8,1,13,2,6,1,8,1,13,3,7,1,9,2,8,2,13,1,8,1,13,2,9,1,13,2,9,1,13,1,9,1,13,5,8,1,13,4,8,1,13,1,8,2,9,1,11,1,13,1,9,1,11,1,9,2,11,1,9,1,13,4,8,1,9,2,13,1,8,1,9,1,8,1,13,2,9,1,8,1,13,1,8,1,9,7,8,1,9,1,13,1,9,1,13,1,9,1,8,2,13,1,8,1,13,1,9,2,8,1,13,1,9,3,13,1,9,1,13,1,8,1,9,2,11,1,12,1,17,1,9,1,13,3,29,1,13,1,6,1,7,2,6,1,8,1,6,1,7,1,8,1,7,1,29,1,13,1,7,2,8,1,7,1,28,1,8,1,6,1,8,1,6,1,24,1,7,1,13,2,7,1,8,1,30,1,13,1,8,1,7,2,6,1,13,1,6,1,7,2,29,1,13,1,24,1,7,1,13,1,8,3,6,1,13,2,7,2,8,1,7,2,6,1,13,1,7,2,6,1,28,1,30,1,6,1,28,1,6,1,30,1,29,1,30,1,28,1,29,5,27,2,29,2,28,1,6,1,30,1,29,1,30,2,6,1,30,1,29,1,28,2,30,1,28,1,6,1,30,1,28,3,30,1,28,2,30,1,28,207,30,1,28,2,30,1,28,27,29,1,7,1,28,2,30,1,29,1,28,1,7,1,28,2,29,1,28,2,30,1,28,2,30,1,28,2,29,1,30,3,29,1,30,1,29,1,6,2,13,1,30,1,8,1,6,1,13,1,9,2,16,1,12,1,17,23,16,1,11,2,10,1,11,1,9,2,11,2,9,1,11,2,9,1,11,2,10,1,11,1,8,1,11,1,9,2,11,2,9,1,11,4,16,5,17,1,16,11,11,2,16,2,11,1,16,1,11,1,16,5,11,1,16,1,11,3,16,1,11,1,16,1,10,1,16,3,9,1,11,1,16,2,9,1,11,1,16,12,17,1,16,1,17,2,16,1,17,1,16,2,17,2,16,1,17,1,16,4,11,3,16,1,11,1,10,1,16,2,11,5,9,1,16,1,9,1,16,2,9,1,16,3,11,1,16,1,11,5,9,4,11,1,9,3,11,1,8,1,9,2,11,1,9,6,10,1,9,1,16,1,9,1,8,1,9,1,8,1,13,2,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,4,13,6,6,2,13,1,6,1,13,3,8,1,13,1,8,1,13,4,8,1,13,1,7,1,13,1,8,1,13,4,8,1,13,1,7,1,13,1,30,1,13,8,9,1,13,3,8,1,13,2,9,1,10,1,8,1,9,1,13,1,8,2,13,1,9,2,13,1,9,1,16,1,11,1,9,3,11,1,8,1,9,3,8,1,13,1,8,4,13,1,9,1,11,1,9,2,10,1,9,4,16,1,9,1,16,1,9,2,11,1,9,1,11,1,9,6,8,1,9,3,11,1,8,1,9,1,11,1,9,1,11,2,9,1,11,1,16,6,17,1,9,1,11,3,9,1,16,1,9,1,16,2,11,1,16,3,17,1,9,1,11,1,9,3,11,2,9,1,11,2,9,6,8,1,9,1,13,2,9,1,13,1,9,1,13,3,30,1,13,1,33,54,5,489,28,2,17,1,9,2,13,1,8,1,9,1,8,1,9,2,8,1,9,1,8,4,9,1,8,1,9,1,13,1,9,1,13,1,8,2,9,1,8,1,13,2,8,2,13,2,8,1,9,1,5,50,28,29,6,1,28,1,6,1,28,7,30,1,6,1,30,1,28,1,13,1,6,1,28,1,13,1,6,1,30,1,6,1,13,1,28,1,6,1,13,2,6,2,13,2,6,1,13,4,28,1,6,1,28,3,6,1,30,1,6,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,6,2,13,2,6,2,30,1,28,1,6,1,28,1,13,1,28,1,30,3,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,7,6,1,8,1,13,3,6,1,28,9,30,1,28,4,30,1,5,39,28,12,30,1,28,1,30,1,28,7,13,1,5,2,28,1,5,111,6,2,13,2,28,3,13,1,9,1,13,2,9,1,13,2,8,1,13,2,8,1,6,1,13,2,6,3,13,2,29,1,13,1,6,2,13,1,6,1,13,2,6,2,7,1,6,1,13,5,6,1,13,1,6,3,28,1,6,1,30,1,29,1,30,3,29,1,30,1,29,1,30,4,28,3,30,1,29,1,30,1,29,2,30,2,6,4,7,1,9,1,33,3,5,133,28,12,6,1,15,1,17,2,12,1,13,1,8,2,13,1,6,2,24,1,13,1,24,1,8,1,13,1,11,1,17,1,13,1,28,6,7,1,14,1,16,1,13,1,8,1,13,3,6,1,28,24,11,1,17,2,12,1,10,1,8,2,12,1,24,1,13,2,6,1,28,3,29,1,6,2,9,1,12,1,11,1,30,1,28,2,}, {13,1,6,1,30,2,6,1,29,1,7,1,29,1,7,1,13,1,12,1,24,1,13,1,7,1,13,1,8,2,9,1,8,1,29,1,28,37,29,1,13,1,24,1,12,1,17,1,10,1,17,2,9,1,13,3,8,1,13,1,29,1,13,1,17,1,11,1,24,1,9,1,8,1,7,1,9,2,8,2,6,2,9,1,17,1,8,1,13,1,6,1,30,1,28,1,13,1,12,1,16,1,17,1,16,1,17,1,9,1,8,1,11,1,8,2,15,1,12,1,10,1,17,2,11,1,17,4,8,1,29,1,28,7,6,1,28,16,6,1,10,1,12,1,10,1,24,1,12,1,13,1,24,1,6,2,29,1,30,1,29,1,13,1,9,1,11,1,17,1,12,1,16,1,9,1,13,1,7,1,24,1,8,1,13,5,9,2,12,1,7,1,28,1,30,1,28,13,17,1,8,1,16,1,11,2,16,1,11,5,16,2,11,2,9,1,10,1,9,2,10,1,8,1,9,3,11,1,10,1,9,3,11,1,10,1,9,1,10,1,9,1,8,1,9,1,16,1,11,1,10,1,9,1,11,1,9,1,11,3,9,1,11,2,9,1,11,1,9,4,10,1,9,1,11,1,9,2,10,1,11,1,9,6,11,1,10,2,11,1,9,3,8,1,9,2,11,1,13,1,10,1,9,1,11,1,9,1,8,1,9,1,13,1,9,3,13,1,9,1,16,1,11,1,9,1,13,2,9,1,11,1,8,1,9,1,7,1,8,1,9,1,13,2,9,3,13,1,9,1,13,1,9,1,30,1,9,1,13,5,6,1,13,5,8,1,13,3,8,1,13,1,8,1,13,16,8,1,13,3,6,1,8,1,13,1,7,1,9,2,13,1,9,1,8,1,13,1,9,1,13,4,8,1,9,1,13,2,8,1,13,1,8,2,9,1,8,1,9,1,8,1,13,1,9,2,8,1,9,4,13,2,9,2,8,1,9,1,8,1,11,1,9,1,13,2,9,1,13,4,8,1,13,1,11,1,13,4,8,1,13,1,8,1,13,2,9,2,8,1,13,1,8,1,9,3,13,2,9,1,13,2,8,1,13,2,6,1,13,1,9,1,11,1,17,1,12,1,17,1,13,2,8,1,7,1,13,1,7,2,6,1,8,1,30,1,7,1,6,1,13,1,24,1,13,1,8,1,7,2,13,2,24,1,8,1,13,1,24,1,7,1,8,1,13,1,6,1,13,1,24,1,8,1,7,1,8,1,29,1,8,1,7,1,6,1,13,1,8,1,24,1,6,1,24,1,6,1,8,1,13,1,7,1,8,1,6,1,24,1,7,2,8,1,6,1,29,1,13,1,8,1,6,2,7,1,13,1,6,1,28,1,13,2,29,1,6,1,29,3,6,2,29,1,6,1,29,1,28,1,30,1,28,1,30,2,6,1,28,2,29,1,28,1,30,2,7,1,28,1,30,1,28,3,29,1,28,1,30,1,28,1,30,1,28,27,30,1,28,106,30,1,28,79,30,1,28,28,29,1,30,2,29,1,28,2,7,1,6,1,28,7,30,1,28,2,6,1,30,2,6,1,30,1,29,1,30,1,6,1,13,1,30,1,6,1,8,2,13,1,8,1,13,2,24,1,11,1,17,1,16,1,17,1,11,1,16,1,17,2,16,1,17,12,16,1,17,1,16,1,17,3,16,1,17,1,16,1,9,1,11,2,9,1,11,2,9,1,10,1,9,1,11,2,9,1,11,8,10,1,16,5,17,1,16,8,11,1,16,2,11,2,16,1,11,1,16,7,11,1,16,1,11,1,16,2,9,1,11,2,9,1,11,1,16,1,11,1,9,1,11,3,16,1,11,1,16,4,11,1,17,2,16,6,17,2,16,2,17,3,16,7,17,1,11,3,16,1,10,1,16,1,11,1,16,1,11,1,9,1,16,2,11,3,16,1,11,1,16,1,9,1,16,6,11,1,9,2,11,1,16,1,10,2,9,3,11,1,9,4,8,1,10,1,9,1,13,1,9,7,11,1,9,1,13,1,9,1,8,1,9,3,8,1,9,3,8,2,9,5,13,4,8,1,6,1,13,2,6,1,29,1,13,3,6,1,13,4,6,1,13,6,7,1,13,1,8,1,6,1,13,2,6,1,13,2,6,2,13,1,6,2,13,5,9,1,13,1,9,1,8,1,9,3,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,10,1,9,2,11,1,9,3,16,1,8,1,9,4,11,1,9,1,8,1,13,1,9,6,8,1,9,1,11,2,9,2,16,1,9,1,16,2,11,2,9,1,11,1,10,1,9,5,10,1,9,1,8,2,13,1,9,3,8,1,9,3,16,4,11,1,16,2,11,1,16,1,9,1,11,2,16,1,11,1,16,1,11,1,9,1,16,1,11,2,16,1,11,1,10,1,11,3,9,1,11,1,9,1,11,1,10,1,9,3,13,1,11,1,9,1,13,7,8,1,9,1,13,3,6,1,33,54,5,489,28,1,17,1,9,2,24,1,13,1,11,1,13,1,9,2,8,1,9,1,8,1,9,2,8,2,9,1,8,4,9,2,8,1,9,2,13,1,8,1,13,2,8,1,13,1,9,1,5,48,30,1,28,33,13,1,28,6,6,1,30,3,28,1,6,2,30,4,6,1,30,3,28,1,30,1,13,1,6,1,13,1,6,1,13,3,28,1,6,1,28,1,30,2,28,1,30,1,28,2,30,1,28,4,30,1,6,2,28,1,13,1,30,4,6,4,13,1,6,1,13,1,30,1,6,1,13,1,28,2,6,3,13,2,6,1,13,1,6,1,13,2,6,2,9,1,8,1,13,2,6,1,13,2,30,1,28,4,30,1,6,3,30,1,28,5,30,1,28,1,6,1,5,38,13,1,28,20,33,1,5,2,28,1,5,113,33,11,5,1,33,1,13,4,9,1,8,1,13,2,7,1,13,1,7,3,13,2,6,2,7,1,6,1,13,2,7,1,6,1,13,2,6,1,13,1,7,1,6,5,29,1,6,1,29,1,30,1,29,1,30,4,29,1,30,4,28,2,29,1,30,1,29,2,30,1,6,2,29,2,30,1,6,1,7,2,9,1,33,4,5,132,30,1,28,11,13,1,12,1,17,2,12,2,24,1,9,1,13,1,6,1,13,1,30,1,24,1,13,1,8,1,13,1,11,1,17,1,13,1,28,6,6,1,14,1,11,1,8,1,6,1,24,1,8,1,6,1,28,25,12,1,17,1,11,1,9,1,8,1,9,1,8,1,12,1,24,1,7,1,6,1,7,1,28,3,6,2,13,1,24,1,10,1,24,1,28,3,}, {9,1,29,3,30,1,29,1,30,2,6,1,24,1,10,1,13,1,6,2,7,1,13,1,7,1,12,1,24,1,6,1,28,34,30,1,28,2,29,1,24,1,8,1,10,1,12,1,17,1,12,2,10,1,13,1,29,1,13,1,30,1,6,2,13,1,17,1,9,1,8,7,13,1,7,2,8,1,17,1,8,1,13,1,6,1,28,2,7,1,9,1,11,1,17,1,16,1,12,1,9,1,8,4,9,2,17,1,11,1,17,5,14,1,9,1,6,1,29,1,28,23,29,1,9,1,13,1,8,1,10,1,9,2,6,1,13,1,6,2,29,1,28,1,6,1,9,1,13,1,17,1,16,1,11,1,13,2,8,1,24,1,8,4,6,1,8,4,6,1,28,1,29,1,30,1,28,11,6,1,10,1,8,1,11,7,16,1,9,2,11,1,9,1,11,2,9,1,10,1,11,1,9,2,10,1,11,1,9,1,8,1,9,4,11,2,9,1,10,1,16,1,9,1,11,1,9,2,11,1,9,1,11,1,16,2,11,1,9,3,16,1,11,1,16,1,11,1,9,1,10,1,13,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,9,1,16,1,11,2,9,1,11,2,9,1,8,1,10,1,11,1,9,2,11,1,10,1,16,1,9,3,11,3,10,1,9,3,11,1,9,1,11,1,9,1,13,2,8,1,9,3,13,1,9,1,13,1,8,1,13,3,8,4,9,2,13,8,7,1,13,1,6,1,13,1,6,1,13,2,6,1,13,5,6,1,13,1,7,1,13,2,9,1,13,1,9,1,13,1,8,1,9,1,13,3,8,1,13,5,9,1,13,3,9,1,13,2,9,2,8,1,9,1,13,1,9,1,13,3,9,1,6,1,10,1,13,5,8,2,9,2,8,1,9,1,8,1,13,2,8,1,9,1,13,1,8,1,13,2,9,1,13,1,9,1,13,2,8,1,13,2,9,1,13,1,8,1,13,2,9,1,13,2,8,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,13,3,9,1,13,4,8,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,13,2,16,1,17,4,9,2,6,1,13,1,7,3,8,2,6,1,8,4,6,1,24,1,8,2,13,1,24,1,8,1,24,1,8,1,24,1,8,2,13,1,7,1,8,1,7,1,13,1,6,1,8,2,13,1,7,1,8,2,6,1,13,1,7,1,6,2,13,2,6,1,8,1,24,1,7,1,6,1,8,1,13,1,7,1,8,1,13,1,7,2,6,1,30,1,6,1,7,1,29,1,6,2,29,2,30,1,28,3,6,3,30,1,26,1,6,4,30,1,27,1,29,1,8,1,24,1,6,1,28,1,30,2,29,2,6,1,28,3,30,1,28,1,29,2,28,1,30,1,28,6,30,1,28,3,30,1,28,4,30,1,28,17,30,1,28,30,30,1,28,95,30,1,28,47,29,1,28,1,30,1,28,25,29,4,28,1,30,1,6,1,28,4,30,2,6,1,28,3,30,1,28,3,30,1,28,1,6,1,28,1,29,2,6,1,7,3,6,1,13,2,7,1,6,1,13,1,6,2,8,1,11,1,12,1,17,1,9,1,16,3,11,1,16,1,11,1,17,2,16,1,17,5,16,1,11,1,17,1,11,1,17,5,11,1,17,4,11,1,16,1,17,2,16,1,11,2,9,1,10,1,9,1,11,1,10,2,9,1,11,1,16,1,11,1,16,1,11,1,16,2,17,1,16,10,11,1,16,2,11,4,16,2,11,1,16,2,17,2,16,1,11,1,16,2,11,1,16,2,11,1,16,1,11,1,16,2,11,2,9,1,10,1,16,1,9,1,11,1,16,2,17,1,16,1,9,1,17,1,16,5,17,2,16,2,17,2,16,2,11,1,16,3,11,1,16,8,9,1,16,1,11,1,16,1,11,3,16,1,11,1,16,4,9,1,11,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,10,1,11,1,9,1,16,1,9,2,10,1,8,1,9,2,11,7,17,1,11,1,17,2,11,1,9,1,17,1,16,1,9,1,17,1,16,3,17,2,16,2,11,3,16,1,11,1,17,1,11,1,17,1,11,3,13,1,9,1,13,4,9,1,8,1,9,4,8,1,13,1,29,1,6,1,13,1,6,1,13,1,29,1,9,1,30,1,7,1,8,1,13,4,8,1,13,2,6,1,13,12,9,1,13,1,9,1,8,1,7,1,13,2,9,1,13,3,9,1,13,1,9,1,13,1,16,1,11,1,9,2,11,1,17,1,11,6,9,1,16,1,9,4,11,1,10,1,11,1,9,1,11,2,9,2,11,1,9,1,16,1,11,1,16,2,9,1,11,2,9,1,11,1,9,2,11,1,13,1,10,1,9,3,8,1,9,1,11,3,9,3,11,3,16,1,11,1,16,4,11,1,9,2,11,2,9,1,13,1,16,1,11,1,16,1,9,2,11,3,16,2,11,1,10,1,9,6,13,1,11,1,13,2,8,1,13,2,6,1,13,3,9,1,13,3,28,1,33,55,5,488,28,1,9,1,11,1,8,1,13,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,9,3,8,1,9,1,8,1,13,1,8,1,13,1,8,1,9,3,8,1,9,5,13,2,5,47,13,1,28,32,30,1,28,9,6,2,28,1,30,1,13,1,28,1,30,1,28,1,6,1,13,1,30,1,13,1,28,1,13,1,30,1,13,1,6,1,13,2,6,2,13,2,6,2,30,1,6,1,28,1,30,2,28,2,30,1,13,1,30,1,28,1,13,3,6,1,13,1,6,1,13,2,6,1,13,3,30,2,6,1,13,1,6,5,13,1,30,1,13,2,6,2,13,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,2,9,1,6,2,9,1,28,3,6,2,13,1,6,1,13,1,30,1,13,1,6,1,30,1,6,1,13,1,6,1,13,1,28,1,6,1,5,39,33,1,28,6,30,1,6,1,30,3,28,7,33,1,5,1,33,1,28,1,5,114,33,12,5,1,13,2,6,1,28,2,13,4,7,1,13,2,6,1,13,1,6,4,13,2,6,1,13,1,7,1,8,1,13,1,7,1,13,1,6,1,7,1,6,2,29,1,30,1,29,1,30,1,29,1,30,1,6,1,28,1,30,2,28,2,30,1,29,1,30,1,28,1,30,1,28,2,29,1,6,2,30,1,6,1,7,1,6,1,29,1,6,2,13,2,33,5,5,131,28,12,29,1,11,1,17,2,11,1,9,1,10,1,13,1,6,1,8,1,6,1,30,1,13,1,8,1,13,1,8,1,11,1,16,1,8,1,28,6,13,1,14,1,10,1,8,1,13,1,7,1,13,1,29,1,6,1,28,24,16,1,17,2,24,1,9,1,24,1,7,1,9,1,24,1,13,2,7,1,28,3,6,2,8,1,24,1,12,1,24,1,30,1,28,2,}, {24,1,13,1,28,1,30,2,6,1,29,2,6,1,10,1,9,1,8,1,7,2,13,1,8,2,14,1,11,1,30,1,28,37,29,1,6,1,8,1,17,1,9,2,12,1,17,1,13,1,6,2,7,1,6,2,13,1,7,1,17,1,9,3,8,6,13,1,29,1,8,1,12,1,8,1,13,1,6,2,7,1,13,1,10,1,16,1,11,1,16,1,11,1,10,1,8,1,13,1,8,2,12,1,24,1,17,8,8,1,6,1,30,2,28,22,30,1,13,2,9,1,17,1,11,1,9,1,29,1,7,1,6,3,30,1,13,1,11,2,17,1,11,1,15,1,8,1,13,1,6,1,9,1,8,2,7,1,13,4,8,1,9,1,6,1,28,15,17,1,13,1,11,3,16,1,11,7,9,1,11,1,9,10,16,1,11,2,9,9,11,6,16,2,11,1,16,2,11,2,16,1,11,1,16,1,9,1,11,2,13,1,11,4,10,2,9,2,10,1,9,6,11,1,9,1,10,1,11,1,9,4,11,1,9,9,8,1,13,1,9,1,13,1,9,4,13,1,8,1,13,1,8,2,13,2,9,1,8,1,9,2,13,9,7,1,13,1,9,1,6,1,13,4,6,1,8,1,13,2,6,2,9,1,13,3,9,1,13,2,8,1,6,1,9,1,13,2,6,1,13,4,8,2,13,2,9,2,13,3,8,1,9,1,13,1,9,2,8,1,9,2,13,2,9,1,10,1,13,3,9,2,13,1,9,1,8,1,9,2,13,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,2,8,2,13,2,9,1,13,1,9,4,13,1,9,3,8,1,9,3,8,1,13,1,9,1,13,4,9,1,8,1,13,1,9,1,8,1,13,3,8,1,9,1,8,1,13,3,9,5,17,1,16,2,10,1,16,1,8,1,13,1,6,1,13,1,7,1,8,1,7,1,29,1,24,1,13,1,9,1,7,1,24,1,13,1,24,1,10,1,8,1,7,1,24,2,13,1,7,1,13,1,8,1,24,1,13,1,8,1,13,2,8,4,29,1,8,3,9,1,13,1,8,1,13,1,24,2,8,1,7,1,8,1,7,2,8,2,7,1,8,1,7,1,13,1,6,1,13,1,6,2,29,1,6,1,29,1,6,1,7,1,6,2,13,1,29,1,30,1,29,1,6,1,30,1,7,1,30,1,29,1,30,1,7,1,6,1,28,1,7,1,30,1,29,2,6,1,29,1,28,1,29,1,28,2,30,2,6,1,28,3,30,2,28,10,7,1,28,2,29,2,28,2,30,1,28,1,30,1,28,6,30,3,28,205,29,1,28,3,30,1,6,1,28,3,29,1,28,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,13,1,30,1,29,1,30,1,6,1,30,1,6,5,7,1,29,1,7,2,13,1,6,1,24,1,8,3,6,1,13,1,7,1,13,3,10,2,9,1,10,1,11,1,9,1,16,1,17,2,9,1,17,1,12,1,17,2,12,1,17,4,9,1,17,1,16,2,17,5,16,1,11,1,9,2,11,1,16,1,11,2,16,2,11,2,16,4,17,1,16,5,17,1,11,1,16,10,11,1,16,2,11,1,16,1,11,1,16,9,9,1,11,4,16,1,11,2,9,1,10,1,11,1,16,2,11,2,16,6,17,1,11,1,16,6,11,1,16,1,11,1,16,2,11,1,16,3,11,1,17,1,11,6,16,2,11,2,16,1,11,1,16,5,11,1,9,2,16,1,10,1,16,1,11,4,9,4,11,1,17,1,16,1,11,3,16,1,10,1,17,1,16,1,11,1,10,1,16,2,9,1,16,1,11,1,16,1,11,1,10,1,17,1,11,1,16,1,17,1,11,1,17,1,11,1,10,1,17,1,11,1,17,2,11,1,17,1,11,4,9,1,11,1,16,1,9,2,13,1,9,1,13,1,9,2,13,1,10,1,9,1,8,1,13,2,29,1,6,3,13,1,6,1,8,1,13,2,7,1,13,3,30,1,8,1,13,1,6,2,13,1,28,1,6,1,7,1,13,4,9,1,13,1,9,1,13,1,9,1,8,1,13,1,8,2,9,1,13,1,9,1,13,1,9,1,13,2,8,1,16,1,13,1,8,1,9,2,13,1,10,1,9,3,11,4,9,1,10,1,16,1,11,1,9,1,16,2,9,1,11,2,13,1,11,2,9,3,13,1,11,4,9,1,10,1,11,1,9,4,13,2,9,5,11,1,9,1,10,1,11,1,16,1,11,1,16,2,11,1,16,5,11,1,9,2,11,1,16,1,11,1,16,1,11,4,9,1,11,1,9,1,11,1,16,1,11,1,16,1,11,2,16,1,9,2,13,2,8,1,13,2,9,1,13,1,6,1,8,1,6,1,13,1,6,1,13,1,9,2,8,1,6,2,33,56,5,486,28,1,30,1,17,1,13,3,9,1,8,2,9,3,13,1,8,1,9,2,8,2,9,2,8,2,13,1,8,2,13,1,8,1,9,1,8,3,13,2,9,1,13,1,5,46,28,35,6,1,30,2,28,5,30,1,28,1,6,1,30,4,6,1,30,1,6,3,30,1,6,1,13,2,6,2,13,7,6,3,28,1,13,2,6,1,30,1,6,1,13,1,6,1,13,1,30,1,9,1,6,1,13,1,30,1,13,1,30,1,6,1,13,3,6,2,13,1,30,1,6,1,13,3,6,1,13,1,6,2,28,1,6,2,13,1,6,1,13,2,6,1,13,5,6,1,13,3,6,1,28,3,6,3,30,1,13,1,6,4,13,1,6,3,30,1,13,1,30,2,28,2,30,1,33,2,5,36,33,1,13,1,28,5,30,1,28,1,30,1,28,5,13,1,5,1,6,1,33,1,5,115,33,16,13,1,28,3,13,2,6,1,7,1,13,1,7,2,13,1,6,2,7,1,6,2,8,1,6,1,13,7,6,2,7,1,6,1,7,1,30,4,29,1,30,1,29,1,30,1,29,1,28,1,30,1,28,1,30,1,28,3,29,2,30,1,29,1,6,2,7,1,29,1,6,1,13,1,30,1,33,4,5,132,28,12,13,1,11,1,17,2,11,1,13,1,9,1,8,1,13,2,7,1,29,1,13,1,8,4,17,1,8,1,28,5,30,1,13,1,17,1,10,1,13,2,7,1,6,1,30,1,6,1,28,24,14,1,17,1,16,1,11,1,24,2,8,1,12,1,8,1,24,1,8,1,7,1,30,1,28,1,29,2,6,1,24,1,8,1,12,1,9,1,28,3,}, {9,1,6,1,13,1,29,1,30,1,6,4,24,1,10,1,8,1,7,2,13,2,9,1,13,1,14,1,8,1,28,37,29,1,6,1,9,1,11,1,9,1,8,1,12,1,17,1,13,1,6,1,7,1,6,3,30,1,10,2,11,1,9,1,8,3,13,1,9,1,13,1,8,1,7,1,13,1,24,1,10,1,9,1,13,1,29,1,28,2,13,1,10,1,17,2,16,1,10,1,12,1,9,2,24,1,6,1,13,1,17,9,9,1,6,1,28,25,13,2,9,1,10,1,12,1,9,1,8,2,30,1,6,1,30,1,6,1,13,1,10,2,17,1,12,1,9,1,11,1,9,1,13,1,7,1,8,2,7,2,13,2,6,1,9,1,15,1,13,1,28,14,30,1,9,4,11,1,16,1,11,1,16,1,11,7,9,2,10,1,11,1,10,1,9,2,11,3,9,1,11,1,10,1,9,2,8,1,9,2,10,1,11,3,9,1,16,1,11,1,10,1,17,1,9,1,17,1,11,1,16,1,9,1,11,10,9,2,11,1,10,1,9,2,11,1,9,1,11,1,9,3,11,1,9,3,11,2,10,1,11,2,16,1,11,1,8,1,9,2,13,1,9,5,11,1,13,1,10,1,9,2,13,1,9,1,8,1,13,3,8,1,9,1,13,1,9,2,13,3,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,7,1,13,3,7,1,13,2,6,1,29,1,6,1,13,1,8,1,7,1,13,5,9,1,13,5,9,1,8,2,13,3,6,1,9,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,2,9,1,13,3,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,8,1,13,2,8,1,13,1,8,2,10,1,9,4,13,1,8,2,13,1,8,1,13,1,11,1,9,1,13,1,9,1,7,1,8,1,9,1,13,1,8,1,13,2,6,1,9,1,13,1,9,1,13,3,9,1,13,2,9,1,13,1,9,1,13,1,7,1,13,6,9,1,13,2,8,2,9,4,8,1,9,2,11,1,13,1,9,1,8,1,9,1,11,1,9,1,11,1,17,1,16,1,17,3,16,1,17,1,11,1,10,1,13,1,8,1,24,1,8,1,24,2,12,1,10,1,13,1,10,1,9,1,24,1,10,1,24,1,8,1,24,1,8,1,10,1,8,1,24,2,8,1,24,1,8,5,24,1,8,1,13,2,8,1,24,1,13,1,24,1,30,1,7,1,8,2,13,1,8,1,7,1,8,2,28,1,29,2,13,1,6,1,7,1,6,1,7,1,6,1,29,1,13,1,28,1,29,1,30,2,6,2,28,1,6,1,28,3,13,1,29,1,6,1,29,1,30,1,7,1,25,1,29,1,6,1,29,1,30,1,29,1,7,1,30,1,29,1,28,3,30,1,28,1,29,1,28,3,29,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,5,30,2,28,7,30,1,28,117,30,1,28,2,30,2,28,1,29,1,28,8,30,1,28,39,6,1,28,27,30,1,29,1,6,2,29,1,30,1,28,1,29,1,28,5,29,1,28,2,30,1,28,2,29,1,28,1,30,1,28,1,13,1,29,1,13,1,29,1,6,1,30,1,13,1,29,1,24,1,13,1,29,1,7,1,6,3,30,1,13,1,7,2,30,1,28,2,30,1,28,3,7,3,6,2,8,1,13,1,9,1,8,1,9,1,11,1,10,1,9,2,11,2,17,1,11,2,12,1,17,8,16,1,17,1,16,1,9,4,11,1,9,3,11,1,10,1,16,5,17,2,11,1,16,2,11,1,16,3,11,1,16,1,11,1,16,2,11,2,16,2,11,1,16,6,11,1,16,1,11,1,16,4,11,1,16,2,11,1,16,2,11,1,16,2,11,1,16,1,17,2,16,1,17,1,16,1,11,2,16,1,11,1,16,2,9,1,17,2,16,3,17,1,11,1,16,1,11,1,16,7,11,1,16,2,11,5,16,2,9,1,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,9,1,10,1,9,1,11,3,10,1,9,1,11,1,10,1,17,6,11,3,17,3,11,1,9,1,12,1,11,1,16,1,9,2,17,1,9,1,17,1,11,1,17,1,16,1,11,2,9,1,17,3,11,1,17,1,11,2,9,1,16,2,13,1,11,1,17,1,9,1,13,2,9,1,11,1,9,1,11,1,13,1,10,1,9,1,8,2,9,1,13,1,9,2,6,1,13,4,8,1,9,1,7,1,13,1,7,1,13,1,6,2,13,1,6,1,13,4,6,1,13,2,9,1,13,1,8,1,13,3,8,1,7,1,13,3,8,1,9,1,8,1,9,1,8,1,13,1,9,1,13,2,9,1,13,1,9,2,8,1,11,1,9,5,11,1,9,1,11,1,9,1,11,1,16,1,11,1,10,1,9,1,16,1,11,3,9,1,16,1,10,1,11,2,9,1,11,2,16,1,11,1,9,1,11,3,16,1,11,2,10,1,9,1,11,1,9,1,13,1,11,1,10,1,9,1,16,1,9,2,16,1,10,2,11,1,16,4,9,1,17,1,16,4,11,1,9,1,11,2,9,1,11,3,10,1,11,1,9,5,11,1,16,1,9,1,11,1,9,4,13,4,9,1,6,1,13,4,9,1,8,1,9,2,13,2,33,57,5,486,28,1,17,1,9,1,13,1,8,1,9,1,8,3,13,1,9,8,13,1,8,1,13,1,9,2,24,1,13,4,9,1,24,1,13,1,8,2,28,1,5,38,33,1,5,5,13,1,28,37,6,1,28,9,6,1,28,1,30,1,28,1,6,1,30,1,13,1,6,3,13,2,6,1,13,1,6,1,13,1,6,1,13,4,6,1,13,2,30,2,13,3,9,1,6,1,13,5,6,1,13,1,6,1,13,3,8,1,6,1,9,1,13,1,6,1,9,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,30,1,6,2,30,1,6,3,13,1,6,1,13,2,30,1,13,1,6,1,13,4,6,2,28,4,13,3,6,1,13,1,30,1,6,1,13,1,6,2,13,4,30,1,13,1,6,1,30,1,28,2,6,3,33,2,5,34,33,3,13,1,28,9,30,1,5,1,28,1,5,122,33,12,13,1,28,2,30,1,8,1,7,2,13,1,6,2,13,1,6,2,7,1,13,5,8,1,13,2,7,1,6,1,8,1,30,1,7,1,6,1,29,1,6,1,28,1,6,1,30,2,29,1,6,1,28,1,30,2,28,5,30,1,28,1,29,2,28,1,7,1,30,1,6,2,30,1,13,2,33,4,5,132,28,12,13,1,16,1,17,2,12,1,24,1,13,1,8,1,6,1,13,1,7,1,13,1,6,1,13,1,8,2,17,2,8,1,28,6,9,1,14,1,10,1,13,1,6,3,30,1,6,1,28,23,30,1,17,3,10,1,9,1,8,1,24,2,12,1,13,1,8,1,29,1,30,2,6,3,13,1,10,1,12,1,9,1,28,3,}, {10,1,7,1,30,2,28,1,30,4,8,2,24,3,7,1,13,2,9,1,14,1,29,1,28,36,30,1,28,1,13,1,24,2,12,1,10,1,12,1,15,1,24,1,13,1,8,1,6,2,7,1,28,1,24,1,17,2,9,2,8,1,9,1,24,1,8,1,24,1,9,1,13,1,6,1,24,1,15,1,9,1,6,2,28,1,30,1,13,1,10,1,17,1,16,1,12,1,10,1,12,1,24,1,13,1,7,1,8,2,12,1,10,1,17,7,13,1,28,26,13,1,7,1,9,1,12,1,17,1,12,1,8,1,6,1,7,1,28,1,30,2,7,1,11,1,17,1,16,1,17,1,16,1,11,1,8,1,7,1,13,2,24,1,8,1,7,1,13,1,8,1,24,1,9,1,15,1,6,1,30,1,28,1,30,1,28,11,8,2,13,1,9,1,11,1,16,5,11,5,9,1,11,2,9,1,11,1,16,1,11,1,9,2,11,3,9,1,11,1,9,1,10,1,9,1,16,1,9,1,11,1,9,1,11,2,16,2,11,1,16,2,10,1,11,2,16,1,11,1,9,2,11,2,9,1,16,1,9,3,11,1,9,2,11,6,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,4,9,1,16,1,13,1,9,1,13,1,9,1,10,1,11,1,8,1,9,1,13,1,9,1,13,3,8,1,13,1,8,2,13,1,9,3,13,5,11,1,13,3,8,1,13,6,7,1,13,2,8,1,6,1,13,1,9,1,13,6,9,2,8,1,13,5,8,1,13,2,6,1,8,2,13,2,9,1,13,2,9,1,6,1,13,1,8,2,9,2,13,1,9,2,13,1,9,2,8,1,10,1,13,1,9,2,13,1,9,1,13,1,10,1,9,7,13,1,11,1,8,1,13,2,9,1,13,1,9,1,13,2,8,1,13,10,8,1,13,4,8,2,13,1,8,1,13,3,8,2,6,1,13,2,9,1,13,2,9,1,10,1,9,1,11,1,9,1,13,1,9,1,8,1,9,3,13,1,9,3,8,1,10,1,17,2,16,1,17,4,10,1,16,1,17,1,10,1,12,1,9,1,17,1,12,1,24,1,9,3,8,1,17,1,24,3,13,1,8,1,24,1,9,1,8,1,24,1,8,1,24,2,8,2,24,2,8,1,24,1,13,1,24,1,8,1,24,1,13,1,24,1,6,1,24,1,6,1,13,1,6,1,13,1,8,1,7,1,24,1,6,1,13,1,8,1,6,1,7,3,29,1,7,1,6,1,13,2,29,1,28,1,29,1,6,3,29,1,6,1,28,1,7,1,6,1,29,1,6,1,29,2,8,2,29,2,6,1,29,1,6,1,30,3,7,1,30,2,29,1,28,2,29,1,30,2,28,3,29,1,28,3,30,2,28,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,28,4,30,1,28,7,30,1,28,11,30,1,28,7,30,1,28,94,30,1,28,7,6,1,28,1,6,1,28,1,30,1,28,2,30,2,28,33,29,1,28,3,30,2,28,2,30,1,28,2,29,1,28,31,6,1,28,2,29,1,28,1,30,2,29,2,28,3,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,29,2,28,1,8,1,7,1,13,2,6,1,7,1,6,1,30,1,7,1,29,1,6,1,29,1,6,2,30,1,6,1,30,1,28,3,29,1,28,1,30,4,6,1,7,2,30,1,29,1,30,1,29,1,28,1,29,1,6,2,28,1,6,1,13,1,9,2,13,1,9,1,11,1,17,6,11,2,8,1,9,1,10,2,9,1,10,1,16,1,11,1,17,1,9,1,16,2,17,1,16,5,17,1,16,2,11,3,16,2,11,2,16,2,11,1,16,4,11,1,16,3,9,1,16,1,11,1,16,1,11,1,16,1,17,1,16,3,17,2,11,1,16,1,17,1,16,1,17,3,16,5,11,1,16,1,11,1,16,1,17,1,16,5,11,1,16,3,11,1,16,2,11,6,16,1,11,1,16,4,9,1,11,1,9,1,11,2,16,2,9,1,16,1,9,1,16,1,10,1,11,1,9,1,11,3,17,2,11,1,16,1,17,1,11,1,17,3,11,5,17,1,16,1,17,1,16,1,11,1,16,1,9,1,16,1,11,1,10,1,11,1,17,1,9,1,11,2,17,1,11,1,16,1,17,1,11,3,9,1,17,1,16,1,17,1,11,1,16,1,17,1,10,1,9,1,11,1,17,1,9,1,17,1,16,2,9,2,11,1,9,1,16,1,13,1,17,1,16,1,9,8,16,1,11,1,13,1,11,1,8,2,9,1,13,1,8,1,30,1,13,1,6,1,8,1,13,1,6,2,13,2,7,1,13,3,9,2,8,1,9,1,13,1,9,1,8,1,13,3,6,1,13,1,8,1,13,2,9,1,13,1,6,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,9,3,11,2,13,1,9,1,11,1,10,1,16,1,13,1,9,1,11,3,16,1,11,1,16,1,11,2,16,1,9,1,16,1,11,5,9,7,13,1,9,2,11,2,9,1,10,1,9,1,11,1,9,1,17,1,11,1,16,2,17,1,16,1,11,1,16,1,11,1,16,1,9,5,11,1,16,1,9,3,11,1,9,2,11,3,10,1,11,1,9,2,13,1,9,1,13,1,9,1,13,5,7,1,9,1,30,1,13,1,9,4,13,2,33,58,5,485,16,2,13,1,8,1,9,1,8,2,9,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,10,1,13,1,8,1,13,1,8,2,13,4,9,3,13,1,9,1,13,1,5,43,28,40,13,1,28,6,30,1,28,6,6,1,28,1,13,1,6,1,30,1,13,4,6,1,13,1,8,1,13,2,30,1,13,4,6,1,13,3,6,1,13,1,6,1,30,1,6,2,13,3,9,1,13,2,9,2,6,2,9,1,13,1,6,1,13,2,6,1,13,4,30,1,13,1,28,1,30,1,13,2,6,2,13,1,6,1,30,1,13,1,6,1,13,7,6,1,28,3,30,1,13,1,30,1,6,1,13,1,30,1,6,1,13,2,6,4,13,2,6,3,30,1,28,1,30,2,6,1,30,1,28,1,6,1,30,1,5,37,33,5,13,1,28,3,33,1,5,1,28,1,5,123,33,12,5,1,30,1,28,2,8,1,13,4,29,1,6,4,30,2,6,1,30,2,7,1,13,3,8,1,6,1,7,1,6,3,29,3,30,1,6,1,28,1,6,2,29,1,28,1,30,3,28,1,30,3,29,1,30,2,29,1,6,1,29,1,6,1,13,2,5,1,33,3,5,132,28,12,13,1,17,3,12,1,9,1,10,1,9,1,6,3,7,1,29,1,7,1,13,2,11,1,10,1,8,1,28,6,8,1,17,2,13,2,6,1,7,1,6,1,28,24,7,1,16,1,17,1,16,1,12,1,8,2,24,1,9,1,24,1,8,1,13,1,6,1,30,1,29,1,30,1,6,1,13,1,7,1,9,1,11,1,9,1,28,3,}, {12,1,8,1,29,2,30,1,7,1,6,1,29,1,6,1,8,1,24,1,13,1,30,1,29,1,13,1,6,2,12,2,13,1,28,36,30,2,29,1,10,1,24,1,9,2,12,2,9,1,6,1,13,1,6,1,30,1,6,1,7,1,8,1,12,1,9,2,24,1,8,1,24,1,9,1,8,2,13,1,6,1,30,1,10,1,17,1,6,2,29,1,28,2,13,1,12,1,17,1,16,2,11,2,9,1,8,1,13,1,8,1,13,1,11,1,9,1,17,6,14,1,9,1,13,1,30,1,28,3,30,1,28,19,30,1,13,1,8,1,10,1,12,2,17,1,13,1,7,1,6,1,13,1,6,1,30,1,13,1,16,1,12,3,16,1,15,1,8,3,7,1,6,1,13,2,6,2,12,1,9,1,15,1,30,2,28,13,13,1,11,2,17,1,11,1,17,1,16,3,11,2,10,1,11,2,9,3,10,2,9,1,11,1,9,1,11,1,9,1,11,3,9,1,11,1,9,2,11,3,9,1,11,1,9,1,11,1,16,4,11,1,16,2,11,3,9,1,11,1,16,2,11,1,9,1,11,3,9,2,11,2,10,1,11,1,9,2,11,1,9,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,13,1,16,1,11,1,10,1,9,2,11,1,9,1,16,1,11,1,9,1,11,1,9,5,13,1,9,2,13,4,9,1,8,1,9,1,13,1,9,1,13,3,8,1,13,6,7,1,13,3,9,1,6,1,13,1,8,1,6,1,13,1,6,1,13,2,6,1,9,1,13,2,9,1,13,3,6,1,8,1,13,1,8,1,9,1,13,4,9,1,13,2,6,1,13,1,9,1,13,4,9,1,8,1,9,2,8,1,9,1,13,1,8,1,10,1,8,2,9,3,13,1,9,3,13,1,8,1,9,2,8,1,9,1,8,1,13,1,9,3,13,1,9,1,8,1,13,1,9,1,13,2,8,2,13,1,9,1,13,1,9,1,13,2,9,1,13,1,9,2,13,1,9,1,8,1,9,2,13,2,9,1,13,2,9,1,13,1,9,1,13,1,9,3,8,1,9,2,8,1,9,1,8,1,9,2,8,1,9,1,13,1,9,1,13,1,8,1,9,2,8,1,9,1,8,1,13,1,9,1,11,1,16,2,17,9,11,1,17,1,11,1,9,1,12,1,11,1,10,2,9,1,24,1,12,1,8,1,9,1,13,1,24,1,9,1,24,1,8,2,24,1,8,1,12,1,13,1,8,1,7,1,10,1,24,1,8,1,24,1,8,1,7,1,13,1,24,1,13,1,8,2,7,1,8,2,13,1,8,1,13,1,6,1,7,1,13,1,29,1,13,1,30,1,7,1,8,1,29,1,8,2,29,1,8,1,28,1,29,1,6,1,13,1,7,2,29,1,6,1,7,1,29,2,8,1,24,1,30,1,28,1,7,1,29,1,30,2,29,1,30,1,6,1,29,1,30,1,6,2,29,1,30,1,28,1,29,1,6,1,28,1,29,2,6,1,30,1,28,2,29,1,30,1,28,4,30,1,28,1,30,3,28,10,30,2,28,2,30,1,28,19,30,1,28,69,30,1,28,30,6,1,28,3,30,1,28,2,29,1,28,3,30,1,28,32,29,1,30,1,6,1,29,1,28,1,30,2,28,1,29,1,28,2,30,1,28,21,30,1,28,5,30,2,29,1,6,1,28,1,30,1,28,3,6,1,28,1,29,1,30,1,28,1,29,1,28,2,30,2,28,1,30,1,28,1,29,2,6,2,29,1,13,1,29,2,6,2,7,2,6,2,29,1,6,1,7,1,29,2,6,1,30,1,28,1,30,3,28,5,30,2,13,1,28,1,30,1,28,10,30,1,28,1,6,1,13,1,9,2,13,1,9,1,11,1,17,3,16,1,17,1,16,2,17,3,16,1,11,1,16,1,11,1,9,1,16,3,17,1,16,10,11,1,16,2,11,1,16,1,11,2,16,1,11,6,16,2,10,1,16,11,11,1,16,2,11,1,16,4,17,1,16,2,17,1,16,6,9,1,16,1,11,1,17,1,16,1,10,1,11,2,9,1,11,1,10,1,16,1,11,3,16,1,11,2,9,1,11,2,16,1,11,3,9,1,16,1,9,1,11,2,8,1,11,1,9,2,16,1,11,2,10,1,17,1,11,1,16,1,11,1,16,1,17,2,11,1,17,1,16,1,11,2,17,1,16,2,11,1,17,1,11,1,17,2,8,1,17,1,16,1,11,1,16,1,10,1,9,2,16,1,9,2,11,2,9,1,17,1,11,4,17,1,11,2,16,1,17,2,11,2,16,1,11,1,9,1,11,1,16,3,11,2,10,1,8,1,11,2,9,2,16,1,11,1,16,1,13,1,17,1,9,2,11,1,9,1,11,1,9,1,11,1,9,4,13,6,6,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,10,1,9,1,13,1,9,1,13,2,9,1,13,1,9,1,8,1,13,1,9,2,13,3,9,1,8,2,13,3,8,1,9,1,13,5,9,1,13,2,9,1,13,1,9,1,13,1,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,7,9,1,11,2,9,2,11,1,16,1,9,3,11,1,10,1,11,1,9,1,16,1,9,1,10,1,16,2,17,1,16,1,17,1,16,3,11,1,16,2,11,1,9,2,11,1,9,5,11,1,9,1,11,4,10,1,9,1,16,1,9,2,11,1,13,1,9,1,13,5,6,1,7,1,13,4,9,2,13,1,9,1,13,1,30,1,33,58,5,485,17,1,11,1,8,1,13,2,8,1,13,1,8,1,9,1,11,1,8,1,9,1,8,1,9,1,8,1,9,4,13,1,8,3,13,3,8,1,13,1,8,1,13,1,11,1,28,1,5,41,13,1,28,44,30,1,28,11,30,1,13,1,6,3,13,1,6,1,30,1,13,1,6,1,13,1,6,2,13,2,30,1,6,1,13,2,9,1,13,1,6,1,28,1,6,1,13,1,30,1,6,2,13,6,9,1,13,1,30,1,9,1,13,4,6,1,28,1,13,1,28,1,6,1,13,1,6,2,30,1,6,1,13,1,6,2,13,1,6,1,13,1,28,1,13,3,6,1,13,6,28,6,30,1,6,1,13,2,6,1,30,1,6,3,13,1,30,1,13,2,6,2,13,1,6,1,28,1,6,1,13,2,28,1,30,2,6,2,30,1,6,1,13,1,33,1,13,1,33,1,13,1,5,3,33,2,5,30,33,1,28,1,33,1,6,1,28,1,5,125,33,12,28,2,6,1,9,1,7,1,29,1,30,1,13,2,6,1,29,2,30,2,28,1,30,1,6,1,8,1,13,2,8,1,6,1,7,2,29,1,13,1,6,5,30,1,6,1,29,1,6,2,28,1,30,2,28,2,30,1,28,1,30,2,29,3,7,1,6,1,29,1,6,1,9,1,33,4,5,132,28,10,30,1,28,1,13,1,17,2,10,1,17,1,9,1,8,1,9,1,6,1,29,1,6,2,13,1,8,1,13,1,8,1,24,1,9,1,13,1,28,6,9,1,17,1,8,1,13,2,6,1,29,1,6,1,28,24,30,1,17,3,10,1,9,1,8,1,13,1,12,1,24,1,10,1,8,1,6,2,29,2,6,1,13,2,9,1,11,1,8,1,28,3,}, {10,1,13,1,29,1,6,1,30,1,28,1,29,2,28,1,24,3,8,1,13,1,6,1,7,1,13,1,9,1,15,1,13,1,28,36,30,2,6,1,9,1,8,1,10,1,9,1,10,1,17,1,24,1,6,1,29,1,8,1,29,1,6,1,30,1,13,1,15,1,17,1,10,1,9,2,24,2,8,2,6,1,13,1,29,1,8,1,17,1,13,1,6,1,30,1,29,1,30,1,7,1,10,1,16,1,17,2,12,2,9,1,13,2,7,1,10,2,8,1,17,6,14,1,9,1,13,1,29,1,28,1,30,2,28,20,29,1,13,1,8,1,24,1,10,1,12,1,16,1,8,1,13,1,7,1,6,2,30,2,11,1,17,2,16,2,9,1,8,1,24,1,6,1,8,1,13,3,29,1,9,1,8,1,9,1,24,1,13,1,28,1,30,1,28,12,7,1,24,1,11,1,16,1,17,3,11,1,16,1,11,2,9,1,16,1,11,2,9,1,11,3,9,1,16,1,9,1,16,1,11,1,16,1,13,1,16,1,9,1,10,1,9,1,11,1,10,1,11,2,9,1,16,1,11,1,16,1,10,1,16,2,11,1,17,1,11,3,17,1,16,1,11,4,16,1,9,1,16,1,9,1,11,2,9,1,11,5,9,1,11,2,9,1,11,1,9,1,11,1,9,3,8,1,9,1,8,1,16,1,10,1,9,1,16,1,9,6,8,1,9,1,8,1,16,1,9,1,10,1,9,1,10,1,13,1,9,3,13,1,9,1,13,5,9,1,13,1,9,1,13,1,9,1,13,13,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,7,1,13,1,9,2,13,1,8,1,13,2,9,1,13,2,8,1,13,1,8,1,13,3,7,1,13,4,8,1,13,1,8,1,13,2,9,1,13,1,9,2,13,1,9,1,8,1,9,2,13,1,9,1,8,2,13,1,8,1,9,1,13,1,8,2,11,1,9,2,8,3,13,1,8,2,9,1,8,1,10,1,9,3,13,1,11,1,9,1,8,2,13,1,9,1,13,2,8,1,13,1,9,1,8,1,10,1,13,1,8,1,13,4,8,1,13,1,9,1,13,4,8,2,9,1,13,1,8,1,9,1,13,2,11,1,8,1,9,2,10,1,13,1,9,2,8,1,13,4,8,1,6,1,13,3,9,1,13,1,9,1,13,1,9,1,11,2,9,1,11,1,9,1,11,2,8,1,9,1,17,2,12,1,17,2,12,2,17,1,12,1,8,1,10,1,24,1,17,1,9,1,12,1,9,1,10,1,9,1,10,1,24,1,8,2,24,1,8,2,13,1,24,2,10,1,7,1,13,1,8,3,13,2,6,2,29,1,13,1,29,1,7,2,6,1,7,2,30,1,8,1,7,1,13,1,6,1,7,1,6,1,8,1,30,1,29,4,6,1,30,1,6,1,8,2,25,1,6,1,7,1,29,1,6,1,30,1,29,1,6,1,8,1,30,1,6,1,29,2,6,2,29,1,7,1,6,1,30,2,29,1,28,1,30,1,6,1,28,1,29,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,29,1,28,2,29,1,30,2,28,1,30,1,28,5,29,2,28,1,30,1,28,3,29,1,28,9,30,1,28,5,13,1,28,2,29,1,28,2,30,1,28,88,30,1,28,1,29,1,28,1,30,2,6,1,28,2,30,1,28,1,29,3,28,2,30,1,28,2,29,1,28,30,30,1,13,1,29,1,6,1,29,3,30,2,29,1,30,1,28,3,29,1,28,22,29,1,28,1,30,2,6,1,28,1,30,2,28,1,6,2,30,1,28,1,29,1,28,3,30,1,28,1,30,1,28,3,30,1,29,1,28,1,30,1,6,1,29,2,6,1,30,1,6,2,28,1,13,1,28,1,7,1,29,2,6,1,28,1,29,1,30,2,29,1,7,1,29,1,6,1,30,1,29,1,28,5,30,1,28,14,30,1,6,1,28,2,30,1,13,1,6,1,13,1,7,1,13,1,8,1,9,2,11,1,10,1,11,1,17,10,16,11,11,2,16,1,11,2,16,1,11,1,16,3,11,7,16,1,9,1,11,1,16,5,17,1,16,3,17,1,16,3,11,1,16,1,17,1,16,4,17,1,16,1,11,1,17,1,16,5,11,1,16,1,9,1,16,1,11,3,16,1,9,3,16,1,11,1,10,1,11,2,16,1,9,1,11,2,9,1,11,3,13,1,11,2,9,2,11,1,17,1,16,1,17,3,11,1,16,1,11,1,10,1,17,1,16,1,17,2,16,2,17,1,16,1,11,1,16,1,11,1,16,2,11,1,16,2,11,1,16,1,9,2,10,1,11,2,9,2,16,1,9,2,11,1,10,1,16,1,9,2,8,1,9,1,13,1,9,1,11,1,16,1,9,1,11,3,17,1,10,1,16,1,9,1,11,1,16,1,9,1,11,1,9,1,16,1,11,1,9,3,8,1,9,2,16,1,9,2,10,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,13,1,9,1,8,1,9,1,10,1,9,2,8,1,6,1,13,1,8,1,13,2,9,1,13,2,8,1,9,1,13,1,8,1,9,3,13,2,9,1,13,2,8,1,9,5,13,1,9,3,13,3,8,2,9,1,13,2,9,1,13,1,9,1,13,1,9,2,11,1,16,2,11,1,16,3,9,1,16,2,9,3,10,1,16,1,9,1,16,2,10,2,11,2,9,2,16,1,11,1,10,1,9,3,11,2,9,2,17,1,16,1,17,1,16,1,11,1,16,1,11,2,16,2,9,1,11,1,9,1,11,2,9,3,11,1,9,1,11,1,9,1,11,2,16,1,13,1,9,1,11,2,9,3,13,1,9,1,13,2,6,1,13,7,9,3,13,3,33,58,5,485,16,1,11,1,13,1,9,2,8,1,10,1,9,1,13,1,9,7,8,1,13,1,9,1,8,1,13,1,8,1,13,1,11,1,9,2,17,1,13,1,9,1,6,1,30,1,5,40,6,1,28,43,6,2,13,1,30,1,28,9,30,2,6,1,28,1,6,1,30,1,13,3,9,1,13,3,6,3,13,9,6,1,13,1,30,1,6,1,9,1,13,1,9,1,13,11,6,2,13,3,6,1,13,1,6,1,13,2,30,1,13,1,6,1,13,1,6,1,13,3,6,1,13,1,6,1,13,4,6,1,13,1,28,4,30,1,6,1,28,1,13,1,6,1,30,1,28,1,13,1,6,3,13,6,6,1,30,1,13,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,6,4,13,1,6,1,13,1,30,1,6,1,28,1,6,1,28,4,5,32,33,1,5,128,33,11,13,1,28,1,13,1,6,2,7,2,28,1,7,1,6,3,30,1,28,1,30,1,7,2,13,7,7,1,13,1,6,1,7,2,29,1,7,1,6,2,28,1,6,1,28,2,29,1,28,2,30,1,28,1,30,2,28,1,6,2,13,1,7,2,13,1,33,3,5,133,28,10,29,1,28,1,6,1,17,1,12,1,17,1,11,1,9,2,24,1,29,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,11,1,10,1,8,1,28,5,30,1,9,1,16,1,17,1,13,1,6,1,13,1,6,1,30,1,28,24,13,1,14,1,17,2,9,1,24,1,13,1,24,4,13,1,6,1,29,1,28,1,6,1,7,1,8,1,9,2,12,1,13,1,28,3,}, {15,1,8,1,6,1,30,1,28,2,29,3,9,2,8,1,7,1,13,1,6,1,8,1,6,1,15,2,8,1,30,1,28,34,30,2,29,1,6,1,9,3,10,1,17,1,15,1,9,1,8,2,6,1,13,1,6,1,28,1,13,1,17,1,15,1,8,1,9,1,24,1,7,1,24,1,13,2,6,1,8,1,6,1,9,2,13,1,30,1,28,1,30,1,29,1,6,1,16,2,17,2,16,2,9,2,13,1,7,1,13,1,8,1,9,1,17,6,14,1,8,1,7,1,28,24,6,1,24,2,9,1,15,1,17,1,12,1,8,2,6,2,28,1,30,1,7,1,8,1,17,4,9,1,13,1,8,1,6,3,8,1,29,1,8,1,9,1,24,1,11,1,9,1,29,1,30,1,28,14,8,1,11,1,17,1,16,5,11,1,16,1,11,1,16,1,11,2,10,1,9,2,11,4,16,3,11,1,9,1,11,1,10,1,11,2,9,1,11,2,16,1,17,1,16,1,11,2,16,2,11,2,16,2,11,1,9,1,16,1,11,1,9,2,16,2,9,1,11,2,9,1,11,1,9,1,11,1,9,2,11,2,9,3,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,2,16,1,9,3,16,1,9,3,11,1,9,1,13,2,8,1,9,2,13,1,9,1,8,1,9,2,13,2,10,1,9,2,13,2,9,1,8,1,11,1,13,1,9,1,13,1,7,1,8,1,7,1,13,4,7,1,9,1,8,1,13,2,8,1,13,12,9,1,13,3,8,1,13,1,8,3,9,1,8,2,13,1,9,1,8,1,13,1,9,1,13,1,8,1,13,2,8,1,13,2,9,2,8,1,13,2,8,1,13,3,8,1,9,1,13,1,9,1,13,2,9,2,8,1,13,2,8,2,9,1,13,1,9,1,8,2,9,3,13,1,9,2,11,1,13,1,9,1,13,1,9,1,8,1,9,1,13,2,9,1,13,1,8,1,13,1,9,1,13,3,9,1,8,1,13,1,9,1,13,3,9,2,13,2,8,1,13,2,9,2,8,1,11,1,9,1,8,1,9,2,13,2,9,1,13,1,8,1,13,5,8,1,13,3,11,1,9,2,11,1,10,1,11,2,9,1,11,2,9,1,11,1,10,1,12,1,8,1,9,1,8,1,10,1,17,3,11,1,10,1,16,1,12,1,17,2,9,1,10,1,24,1,12,1,8,2,9,1,8,2,10,1,24,1,11,1,13,1,9,1,8,1,13,2,8,1,24,1,8,1,24,1,13,2,6,1,7,1,30,1,8,1,6,1,7,3,6,2,7,1,24,1,6,2,13,1,6,1,8,1,6,2,13,1,6,1,13,1,29,1,6,2,8,1,24,1,7,2,29,1,6,1,30,1,25,1,6,2,7,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,29,3,7,1,29,1,6,3,28,1,29,3,30,1,28,1,30,1,28,1,6,2,28,1,7,1,28,2,6,1,28,4,29,1,28,1,30,3,29,1,28,3,6,1,30,2,28,1,30,1,28,1,30,1,28,1,29,2,28,3,29,2,28,4,29,1,28,3,30,1,28,9,30,1,28,73,30,1,28,2,30,1,28,4,29,1,28,2,6,1,29,1,6,1,28,1,6,1,29,1,30,3,28,1,29,1,6,1,28,2,6,1,28,1,29,1,28,2,29,1,28,6,30,1,28,18,13,1,30,1,28,1,6,1,28,2,30,1,28,2,30,1,28,28,30,1,29,2,6,1,30,3,28,1,30,1,28,1,29,1,30,1,29,1,28,1,6,1,7,1,30,3,29,1,28,1,30,2,29,1,6,1,28,1,6,10,13,1,29,1,6,1,13,1,8,1,28,1,29,1,6,1,29,1,30,1,29,1,6,1,28,1,6,1,28,1,30,2,28,2,30,2,28,21,6,1,29,1,7,1,13,3,9,1,8,2,17,13,16,5,11,1,16,4,11,2,9,1,11,1,16,1,9,1,16,1,11,1,16,1,9,1,10,1,11,2,16,3,11,2,16,5,11,1,16,5,17,1,16,4,17,1,16,2,17,2,16,6,11,1,9,1,16,1,11,1,16,1,13,1,9,1,11,1,9,1,10,1,16,1,11,4,9,2,16,1,9,1,11,1,8,1,11,1,16,1,9,3,10,1,9,1,11,3,17,1,11,1,17,2,11,1,16,1,11,1,17,1,16,1,17,1,9,1,17,1,16,1,9,1,10,1,11,1,17,1,16,3,17,2,11,1,17,1,16,2,11,1,9,1,11,1,9,1,11,1,16,1,11,1,9,3,16,1,11,1,10,1,11,1,9,1,8,1,9,4,16,1,8,1,9,1,11,1,8,1,13,1,9,1,11,1,9,1,11,1,9,1,10,1,9,4,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,4,13,1,16,1,9,1,13,2,9,1,13,1,9,1,13,1,8,1,9,2,10,1,11,1,8,1,9,1,17,1,9,4,16,1,7,1,10,1,9,1,8,1,13,1,9,2,8,1,9,1,13,1,8,1,13,3,9,1,13,1,9,4,11,1,9,2,8,1,13,2,8,1,13,1,9,3,13,1,9,1,13,1,16,1,11,1,16,2,11,2,16,2,11,1,16,1,11,2,16,1,11,1,10,1,9,1,11,1,16,1,11,2,9,1,16,1,9,1,11,2,9,3,11,1,9,3,11,1,9,1,11,2,10,1,11,3,9,1,16,1,11,1,16,2,11,3,16,1,11,3,9,3,11,1,9,1,11,1,10,1,11,2,9,2,11,1,9,2,13,6,6,1,13,2,6,1,13,3,7,1,9,4,13,1,33,60,5,484,16,1,8,1,13,1,8,3,9,8,8,3,9,1,10,1,11,4,9,1,11,1,16,3,5,40,33,1,28,46,30,1,6,2,28,12,6,2,13,2,6,2,13,1,30,1,13,3,6,1,13,1,30,1,6,1,13,1,9,1,13,1,30,1,6,3,30,1,13,3,6,2,13,1,9,1,6,1,13,1,6,1,13,4,6,1,13,2,6,1,13,1,30,1,13,1,30,1,13,2,6,1,13,1,30,1,13,1,6,1,13,1,6,2,13,1,6,2,13,2,30,1,6,1,30,1,13,2,30,1,6,1,28,5,30,1,28,1,13,1,30,1,6,3,13,2,6,1,13,1,6,1,13,2,6,1,13,8,6,2,30,1,13,1,30,1,6,2,13,2,6,1,28,1,13,1,6,1,30,1,13,1,6,1,28,3,5,2,33,1,5,159,33,10,28,2,9,1,13,1,6,7,29,1,6,2,7,2,8,1,13,5,7,2,13,1,6,1,13,1,6,1,8,1,7,1,6,3,29,1,30,3,28,1,30,1,28,1,29,1,28,1,30,1,29,2,6,1,7,1,6,1,13,2,5,1,33,2,5,133,28,12,8,1,17,2,10,2,12,1,13,1,8,1,29,1,30,1,29,2,6,1,13,2,9,1,17,2,7,1,28,6,10,1,17,1,16,1,13,1,30,1,6,1,7,1,6,1,28,24,30,1,17,3,9,1,8,1,24,1,9,1,10,1,9,1,13,1,24,1,30,2,6,1,29,1,7,1,8,1,12,1,10,1,12,1,7,1,28,3,}, {11,1,6,1,29,1,30,2,29,1,28,2,29,1,7,1,9,1,24,1,8,1,7,1,29,3,10,1,15,1,13,1,28,38,6,1,9,1,8,1,15,1,10,1,12,1,15,1,9,1,13,1,6,1,7,1,6,1,30,1,6,1,13,1,10,1,17,1,11,1,9,1,10,1,29,1,9,1,24,1,13,1,8,2,28,1,15,1,24,2,6,1,29,2,30,1,6,1,16,1,17,3,16,1,12,1,9,2,13,1,8,1,13,1,8,1,9,1,17,1,16,1,17,4,14,1,9,1,6,1,30,1,29,1,28,21,30,1,29,1,8,1,10,1,12,1,17,1,12,1,17,1,9,1,13,1,8,1,28,1,29,1,28,1,6,1,9,1,17,3,9,2,8,1,7,1,13,2,29,1,13,1,8,2,24,1,8,2,15,1,7,1,28,15,6,1,9,1,17,2,16,2,17,1,16,4,11,4,16,1,10,1,11,8,10,1,16,1,11,1,16,1,9,1,16,2,11,1,9,2,16,2,17,1,9,1,11,1,16,4,17,1,16,1,11,1,9,1,11,3,16,1,11,3,9,1,11,3,9,1,11,2,9,1,10,1,9,2,11,1,9,4,8,1,9,2,11,1,9,4,11,2,9,2,11,1,9,8,13,1,8,1,9,4,13,1,9,1,13,1,9,2,13,2,9,1,13,2,7,1,13,1,9,1,13,1,8,1,13,4,9,1,13,2,9,1,13,1,6,1,9,1,13,2,8,1,13,2,8,1,9,1,8,1,13,1,8,3,13,3,7,1,13,1,6,1,13,1,9,1,7,1,13,4,8,1,13,6,11,1,13,1,10,1,13,1,9,2,13,3,9,1,8,2,9,2,8,1,10,1,8,1,9,2,13,1,9,1,10,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,11,1,9,2,11,1,6,1,9,1,13,1,9,1,8,1,13,1,8,1,9,1,13,2,8,1,6,1,13,2,9,1,8,1,9,1,13,1,9,6,13,3,9,1,13,1,8,1,9,4,13,2,9,2,13,1,9,1,8,1,13,1,9,1,13,1,8,2,13,2,9,1,13,2,6,1,9,1,8,2,9,5,11,1,9,1,8,1,10,1,9,2,8,2,9,1,8,1,9,2,8,1,9,1,13,1,17,5,10,1,17,1,12,1,9,1,24,2,10,1,9,1,24,2,17,1,9,1,17,1,12,1,10,1,8,1,24,1,8,2,13,1,24,1,6,1,24,1,7,2,13,2,7,2,6,2,7,1,6,4,8,1,6,1,8,1,6,1,8,1,29,1,6,2,29,1,13,1,7,1,29,1,8,1,6,1,8,2,13,1,6,2,7,1,30,1,8,2,7,1,8,1,29,1,6,2,30,1,6,3,8,1,29,1,6,1,30,1,29,1,6,2,29,1,30,1,6,1,29,1,28,2,30,1,6,1,29,2,30,2,13,1,28,2,29,1,28,1,29,2,6,1,28,1,30,1,29,1,28,1,6,1,29,1,28,1,30,1,28,3,29,1,28,2,6,2,28,3,30,2,28,2,30,1,28,5,30,1,28,1,30,1,28,2,29,1,28,5,30,1,28,31,30,1,28,27,29,1,28,6,30,1,28,7,30,1,28,4,30,1,28,2,29,1,28,1,6,1,28,1,6,3,29,3,6,1,29,2,7,1,30,1,28,1,6,1,30,1,29,1,30,2,6,1,28,1,29,1,28,2,29,1,28,2,30,1,28,2,30,1,28,1,30,1,28,12,30,2,12,1,28,1,30,3,28,1,30,1,29,1,28,1,30,1,28,30,6,1,28,3,6,1,28,1,6,3,30,2,29,2,28,1,29,1,6,1,28,2,29,1,6,1,28,1,30,1,6,1,29,1,30,1,28,2,30,1,28,2,6,2,13,1,6,2,29,1,6,1,7,1,28,2,7,1,29,1,13,1,6,2,30,1,29,1,28,1,30,1,28,2,30,1,29,1,6,1,28,22,30,3,28,1,13,1,8,1,13,4,9,2,10,1,17,12,11,1,17,1,16,2,11,1,16,2,11,4,16,2,11,7,16,2,11,5,16,2,17,1,9,1,10,1,11,2,16,4,11,1,9,1,17,1,16,3,11,1,16,1,11,2,17,1,11,1,16,3,11,2,16,1,11,1,9,1,16,2,11,1,16,1,11,1,16,1,9,1,11,3,10,1,11,2,9,1,11,1,16,1,9,3,11,3,17,1,11,1,17,1,16,3,17,1,10,1,11,1,16,3,17,1,16,1,17,2,16,1,11,1,17,1,16,1,11,3,16,1,17,2,16,2,11,2,9,1,8,1,9,3,10,1,9,2,11,1,9,3,10,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,3,13,1,9,1,10,1,11,1,10,1,11,1,9,3,10,1,13,1,8,1,9,4,13,2,8,1,9,1,11,2,9,5,13,1,9,2,13,1,9,1,11,1,13,1,11,2,9,4,16,1,13,1,11,1,10,1,11,1,9,1,17,1,13,2,9,1,13,3,8,1,13,2,8,2,13,1,8,2,11,1,9,4,13,1,9,1,13,5,9,1,13,1,10,1,8,1,9,1,8,1,11,4,16,1,11,1,16,1,11,1,16,1,17,1,11,1,9,1,16,1,11,2,9,4,10,1,9,3,11,1,9,1,11,1,9,1,11,1,9,3,11,1,9,2,11,2,9,1,16,1,9,1,16,2,11,2,9,1,16,2,11,3,16,1,11,5,9,3,11,1,9,2,16,1,9,2,11,1,9,4,13,1,9,1,13,6,6,1,7,1,6,2,13,1,9,1,13,1,9,3,13,1,33,60,5,484,17,1,9,3,8,1,9,3,13,1,9,1,8,3,9,1,13,1,9,1,13,2,5,48,13,1,28,47,30,2,6,1,28,4,30,1,28,10,6,1,28,1,6,1,13,1,30,1,6,4,13,1,6,1,13,2,6,1,13,10,6,1,13,1,6,2,13,3,6,1,13,7,28,1,13,1,6,1,28,1,13,1,30,2,13,2,6,2,9,1,13,1,30,1,13,1,6,1,13,1,30,1,6,2,13,1,30,1,6,1,13,1,6,1,28,5,30,1,13,1,6,1,30,1,13,1,6,2,13,1,30,1,6,2,13,5,9,1,13,4,6,1,8,1,13,2,30,1,6,1,13,2,28,1,6,1,13,1,6,2,30,1,13,1,6,1,30,1,6,2,30,1,6,1,28,5,6,1,5,162,33,5,13,3,7,1,13,1,30,1,6,2,29,1,30,1,6,1,29,1,30,1,13,10,7,2,13,2,29,1,7,1,13,1,6,2,7,1,29,1,30,1,28,3,30,1,29,1,30,1,29,3,6,1,7,1,13,1,6,1,13,1,33,3,5,132,13,1,28,12,13,1,17,3,10,1,9,2,13,1,7,1,30,1,6,1,29,1,6,1,8,2,13,1,9,1,11,1,7,1,28,6,12,1,17,1,10,1,8,1,7,2,29,2,28,24,6,1,17,1,11,1,17,1,10,1,24,3,9,1,24,1,8,1,24,1,6,1,29,1,6,1,29,1,13,1,24,1,12,1,11,1,12,1,7,1,28,3,}, {14,1,8,1,6,1,29,1,28,1,30,1,29,1,28,1,6,1,8,2,13,1,8,1,13,1,7,2,8,1,9,1,10,1,8,1,30,1,28,33,30,1,28,1,30,1,28,1,7,1,8,1,24,1,9,3,14,1,24,1,13,1,6,2,7,1,6,1,7,1,6,1,24,1,14,1,9,1,10,1,13,1,6,1,8,1,13,3,9,1,28,1,24,1,10,1,13,1,29,1,30,1,29,2,8,1,11,1,12,2,17,1,16,1,9,3,7,1,6,1,13,1,9,1,24,1,17,6,14,1,8,1,13,1,6,1,28,9,30,1,28,13,13,1,24,1,12,1,9,1,15,1,12,2,24,2,13,1,30,1,6,1,30,1,6,1,9,1,17,3,12,1,11,1,8,1,13,1,8,1,13,2,7,1,9,1,13,1,9,1,8,1,9,2,13,1,29,1,28,14,29,1,9,1,17,2,16,1,17,1,16,3,11,5,16,1,11,1,9,1,11,1,16,2,11,4,9,1,11,4,16,2,17,1,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,3,9,1,16,1,13,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,2,10,1,9,1,8,1,9,7,11,1,8,1,11,1,9,2,16,1,9,1,11,4,9,3,11,1,9,3,11,1,9,2,10,1,9,4,8,1,9,1,13,1,9,1,8,1,13,3,9,1,13,3,6,1,9,1,13,1,9,1,8,1,13,2,8,1,13,1,9,1,8,1,13,3,9,1,13,2,9,1,13,1,8,1,13,3,9,2,13,3,7,1,8,1,13,2,8,1,13,1,9,1,13,2,9,1,13,2,9,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,9,1,13,1,9,1,13,3,8,1,9,3,13,1,9,1,13,1,8,3,13,1,8,1,13,3,9,1,13,1,8,1,13,1,9,1,13,2,11,1,9,2,13,1,11,1,8,1,13,1,11,1,8,2,13,1,9,3,13,1,9,4,13,2,9,1,8,1,9,1,13,1,9,1,13,4,9,3,11,1,9,1,13,1,8,1,13,1,8,1,13,1,9,2,8,1,13,1,9,1,13,1,9,2,13,1,6,1,13,1,9,1,13,1,8,1,13,1,6,1,8,1,13,1,8,1,13,1,9,2,11,1,9,3,10,1,9,3,11,1,9,2,13,1,8,1,9,2,8,1,9,1,8,1,9,2,10,1,9,1,17,1,16,2,17,1,9,1,12,1,9,1,17,1,9,2,16,1,9,2,24,1,12,1,8,2,9,1,24,1,8,1,12,1,24,2,8,2,13,1,6,1,7,1,6,1,7,1,6,4,13,1,24,1,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,2,7,1,13,1,29,1,7,1,24,1,8,1,29,1,7,1,29,1,8,1,7,1,29,2,6,1,24,1,29,1,7,1,6,1,7,1,8,1,29,2,7,1,28,1,7,1,6,4,28,1,29,1,6,2,28,1,29,1,28,1,30,1,29,1,6,1,30,2,28,1,7,1,30,1,28,1,29,1,28,1,29,1,28,1,30,1,8,1,30,1,29,1,28,1,30,1,29,1,28,2,30,1,29,1,30,2,28,4,30,1,28,4,29,1,28,5,30,1,28,1,29,1,28,2,29,1,30,2,28,2,30,2,28,1,6,1,30,1,28,1,30,1,28,56,30,1,28,8,30,1,28,2,30,1,28,1,30,2,28,1,30,1,29,1,28,1,30,2,29,1,6,1,29,2,7,1,6,2,13,1,6,2,29,1,6,1,30,1,6,1,29,1,6,3,29,2,13,1,6,1,7,1,6,1,28,1,6,2,28,1,6,2,29,1,28,1,29,1,30,1,29,1,30,1,29,1,28,12,29,1,7,1,30,1,29,1,30,1,29,1,28,1,29,2,28,29,30,1,28,2,30,1,28,1,30,3,6,1,29,1,28,2,30,1,29,1,30,2,29,1,6,1,28,1,30,2,29,2,28,1,30,1,28,3,30,1,29,1,30,3,28,1,30,2,29,1,6,1,29,2,30,2,29,1,6,2,29,1,6,2,29,3,6,1,28,2,29,1,7,1,6,1,30,1,28,24,30,1,6,2,29,1,28,1,30,1,29,1,13,5,10,1,17,11,16,2,11,1,16,4,11,9,10,1,11,1,9,1,16,1,11,2,10,1,16,1,10,1,11,1,9,1,11,2,16,1,11,2,16,1,17,1,11,1,16,2,11,4,17,1,11,1,16,2,11,1,16,2,11,1,16,2,9,1,11,2,9,1,11,1,16,1,11,1,16,2,10,1,11,3,9,5,11,1,9,3,11,1,17,2,16,1,17,3,16,2,17,1,16,1,11,1,17,1,16,1,11,1,17,1,16,1,11,1,16,1,11,3,16,1,9,1,16,2,17,1,11,2,16,1,11,1,17,1,16,1,17,1,11,2,16,1,9,1,10,1,16,1,8,1,9,1,10,1,11,1,9,1,11,1,16,1,11,1,8,2,9,3,8,1,9,2,11,1,13,1,11,3,9,2,8,2,9,2,16,1,9,2,13,1,9,2,11,1,8,1,9,1,13,1,10,1,9,1,8,1,9,1,8,1,11,1,9,1,11,1,9,1,13,1,10,1,13,1,8,1,16,1,10,1,9,2,11,1,9,2,11,1,10,1,8,1,9,1,10,1,9,1,13,1,10,1,9,1,8,1,13,1,8,2,9,1,13,1,8,1,13,2,9,1,8,1,9,1,8,1,13,1,9,4,8,2,13,1,9,1,13,3,11,1,9,2,7,1,13,1,9,1,8,1,11,1,9,4,10,1,17,1,9,1,16,2,11,1,16,3,11,1,9,7,11,1,9,3,11,1,9,1,11,1,9,3,11,3,9,1,11,2,10,1,11,1,16,1,9,1,16,1,11,1,16,1,11,7,16,1,9,1,11,2,9,3,13,1,9,3,11,2,9,3,13,1,8,1,13,1,7,1,6,1,13,1,30,1,13,2,6,1,13,1,6,1,13,3,8,2,9,1,6,1,33,62,5,483,16,1,11,1,9,1,8,1,9,2,8,1,9,5,13,2,9,1,16,1,5,49,28,50,6,1,13,1,30,1,28,1,30,1,28,13,30,1,28,2,30,1,13,1,6,2,13,1,6,1,13,4,28,1,6,1,13,1,6,1,13,1,6,1,13,1,9,1,6,1,13,1,30,1,9,1,13,2,6,2,13,2,6,1,30,2,6,1,13,2,6,1,30,1,6,1,13,3,30,1,6,1,28,1,6,1,30,2,6,3,13,2,30,1,13,2,6,1,28,1,30,2,28,7,30,1,6,2,30,3,6,2,28,1,13,10,6,1,13,2,6,1,13,2,30,1,13,2,28,1,13,1,30,1,6,1,13,1,30,1,13,1,6,2,28,1,30,1,6,4,28,8,13,1,5,158,33,6,9,1,13,1,7,1,6,1,13,1,6,3,29,1,6,1,7,1,13,3,7,1,13,2,6,1,7,1,13,2,7,1,13,3,7,1,13,1,6,1,13,1,6,1,13,1,6,1,28,4,30,2,28,1,30,2,7,1,6,1,7,1,30,1,6,1,13,1,33,2,5,133,28,13,8,1,17,2,11,2,12,1,24,1,6,1,30,1,29,1,30,1,29,2,8,1,13,1,24,1,17,2,7,1,28,6,9,1,17,1,9,1,8,1,30,1,6,1,7,1,30,1,28,24,29,1,17,3,24,2,29,1,9,2,8,1,13,2,6,1,13,1,29,1,6,1,7,1,8,1,9,1,17,1,11,1,8,1,28,3,}, {14,1,8,1,30,1,28,1,29,1,30,1,29,2,30,1,7,1,9,1,7,1,13,1,6,1,7,1,30,1,6,1,24,1,9,1,13,1,6,1,28,34,30,1,28,2,6,1,13,2,8,1,12,1,10,1,14,1,11,1,6,1,7,1,6,1,29,1,6,1,30,1,6,1,15,1,14,1,9,1,24,1,6,1,7,1,6,1,24,1,13,1,8,1,6,2,13,1,24,1,13,1,6,2,7,1,6,2,24,1,16,2,12,1,16,1,9,2,13,1,8,1,13,2,9,1,8,1,16,1,17,2,16,1,17,2,14,1,11,1,13,1,30,1,28,4,30,1,28,18,8,1,13,1,10,1,24,1,12,1,10,1,11,1,24,1,13,1,24,1,28,1,29,1,6,2,11,1,17,1,16,2,17,1,9,1,8,1,6,1,13,1,6,1,7,1,24,1,8,1,13,1,9,1,8,1,13,1,24,1,8,1,29,1,28,14,13,1,17,3,16,6,11,2,16,1,11,1,9,2,11,3,16,1,11,4,9,1,11,2,16,1,11,1,16,1,17,1,11,1,16,1,11,1,16,1,17,1,16,1,11,3,16,1,11,1,16,2,11,1,17,1,9,2,11,1,9,1,16,1,9,4,10,1,9,3,11,1,13,1,9,3,13,1,11,1,9,2,11,1,8,1,10,1,11,2,9,3,16,1,11,1,16,1,11,5,9,2,11,1,9,1,11,1,9,1,8,1,9,1,11,3,9,2,8,1,10,1,13,1,9,2,8,1,13,1,8,1,13,2,9,1,13,4,9,1,13,4,9,1,13,1,9,1,13,1,9,1,7,1,8,1,13,1,8,1,13,3,8,2,13,1,8,1,13,1,9,1,13,1,9,1,13,3,9,1,8,1,9,1,8,2,13,1,6,1,13,3,6,1,13,9,8,1,13,2,9,2,13,6,9,2,13,4,8,1,6,1,8,3,9,3,13,1,9,1,11,1,9,3,10,1,13,1,8,1,13,2,9,1,13,3,9,2,6,1,13,1,8,2,9,1,13,4,9,3,13,1,9,2,13,2,8,1,9,5,8,1,9,1,8,1,9,1,13,3,9,1,8,1,13,1,9,4,8,1,13,2,8,1,9,1,13,1,8,1,9,3,11,1,9,1,10,1,9,5,13,1,9,1,13,1,9,1,13,3,8,1,13,2,8,1,9,1,8,1,9,1,8,1,17,2,11,1,17,3,12,1,9,2,17,1,9,4,8,1,24,1,8,1,9,1,10,1,8,1,24,3,8,2,7,4,13,1,8,1,13,1,8,1,13,2,7,1,13,1,7,1,6,1,7,1,8,1,29,1,6,1,8,1,7,1,13,1,24,1,13,1,8,2,6,2,29,1,13,1,8,1,7,1,6,1,7,1,13,1,6,2,13,1,29,1,6,1,30,1,29,1,30,1,29,2,30,1,6,2,30,1,6,1,29,1,28,1,6,1,30,1,29,1,6,1,30,1,29,2,6,1,30,1,6,2,30,5,28,3,30,1,29,1,28,2,30,2,28,2,30,1,28,2,30,1,28,1,30,1,28,6,30,1,28,5,30,1,28,4,30,1,28,6,30,2,28,11,30,2,28,11,29,1,28,12,30,1,28,19,30,1,28,13,30,1,28,1,30,2,28,2,30,2,6,1,28,1,13,1,29,1,6,1,7,2,8,1,6,1,13,1,6,1,13,1,7,2,24,1,7,3,28,1,7,2,13,1,6,1,7,1,8,1,7,1,6,1,30,1,13,1,28,1,30,2,6,1,30,2,6,2,30,1,28,3,30,1,28,8,30,1,6,1,7,1,30,1,28,2,29,1,28,2,29,1,28,1,29,1,28,1,30,1,28,29,30,4,28,1,30,3,28,1,29,1,28,2,6,1,29,1,30,1,7,1,28,2,30,1,28,1,29,1,28,1,29,1,28,3,6,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,29,1,6,1,29,1,30,1,29,1,28,1,6,1,30,1,29,1,30,1,6,1,30,1,29,2,6,1,13,1,29,1,30,1,29,1,6,1,28,25,7,1,30,2,29,1,6,1,30,1,13,1,6,3,13,2,9,1,10,1,11,1,17,10,11,2,16,1,11,10,9,1,10,1,11,3,9,1,16,1,9,1,10,1,11,2,16,1,11,1,9,1,16,1,11,2,17,1,9,1,11,1,16,3,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,17,1,11,4,16,2,9,1,11,2,10,1,9,1,11,3,9,2,16,1,9,1,10,1,9,1,10,1,11,1,16,1,17,3,16,1,17,2,11,1,17,1,11,1,16,1,10,1,17,2,9,1,16,1,9,1,11,2,9,1,16,2,17,1,11,1,17,1,11,2,17,1,11,1,17,2,16,1,17,2,16,1,17,1,16,2,9,1,16,3,9,1,11,1,10,2,9,1,17,1,11,1,9,1,17,1,16,1,9,1,17,1,9,1,10,2,8,1,9,1,8,1,13,2,8,3,9,3,13,1,9,1,13,1,9,2,8,1,9,1,16,1,13,1,9,1,11,1,8,1,9,5,13,1,9,3,13,1,8,1,13,1,11,2,9,1,11,1,13,1,9,4,11,1,9,2,12,1,13,1,9,1,8,1,9,1,16,1,11,1,8,1,13,2,8,1,6,1,13,1,9,2,13,1,8,2,13,1,9,6,13,1,9,3,28,1,6,1,7,1,8,1,9,1,13,1,9,6,11,1,16,2,11,2,17,1,11,2,16,1,11,2,16,1,11,2,9,6,11,1,9,2,11,3,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,2,16,1,11,7,16,2,11,1,16,1,11,2,9,4,16,1,9,1,11,1,9,3,16,1,9,1,11,2,9,1,13,3,6,1,13,2,7,1,6,1,13,3,7,1,13,3,9,3,33,63,5,484,11,1,9,1,13,1,9,1,8,2,9,2,8,2,13,2,16,1,5,48,6,1,28,53,30,2,28,19,30,1,6,1,30,1,13,2,6,1,13,1,28,1,6,2,13,1,28,1,6,1,13,1,9,2,28,1,13,1,6,1,13,4,6,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,9,1,13,1,6,3,28,1,30,2,28,2,30,4,6,1,30,1,28,3,30,2,6,1,28,6,6,1,28,6,30,4,28,3,6,2,30,1,6,1,13,1,6,2,30,1,13,6,6,1,13,2,6,2,13,2,30,1,28,1,6,1,30,1,13,1,6,1,13,1,28,1,13,1,6,1,30,1,6,2,28,6,6,1,5,159,33,5,5,1,13,2,30,1,6,1,13,1,6,1,7,1,6,2,13,4,6,1,13,3,6,1,13,1,7,2,13,1,7,2,13,2,6,1,7,1,13,1,6,1,30,1,28,1,29,1,30,1,28,1,6,1,30,2,29,1,7,1,6,1,13,3,6,1,33,2,5,133,28,13,24,1,17,3,8,1,24,1,8,1,24,1,30,1,6,1,29,1,7,1,13,1,10,1,8,1,13,1,17,2,6,1,28,6,11,1,12,1,10,1,13,1,6,2,29,1,30,1,28,24,13,1,14,1,17,1,16,1,9,2,24,1,8,1,17,1,24,3,6,1,29,1,28,1,6,1,13,1,8,1,9,1,17,2,13,1,28,3,}, {14,1,13,1,6,1,30,3,28,2,29,1,8,1,24,1,8,2,29,1,13,4,17,1,6,2,28,36,29,1,13,1,8,2,12,1,8,1,15,1,14,1,15,1,8,1,6,3,7,1,6,2,9,1,14,1,10,1,24,1,8,1,7,1,6,1,8,1,24,1,13,4,9,2,6,1,7,1,30,2,13,1,24,1,17,3,12,1,11,1,9,1,13,1,9,1,6,1,8,1,9,1,10,1,17,6,14,2,13,1,30,4,28,19,30,1,6,1,24,3,12,1,17,1,24,1,12,1,7,1,24,1,6,1,30,1,6,2,11,1,16,1,17,1,16,1,11,1,17,1,24,1,8,2,13,1,6,1,7,1,6,1,13,2,8,2,10,1,8,1,13,1,28,14,13,1,17,2,16,1,17,2,16,2,11,1,16,1,9,1,16,1,11,3,9,1,11,2,9,1,16,1,11,1,16,2,11,1,16,1,11,2,16,6,11,1,16,2,11,5,16,1,11,1,16,1,11,1,16,2,11,1,9,1,16,1,11,1,9,1,16,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,10,2,9,5,10,1,11,6,9,1,11,1,9,1,17,1,9,1,16,1,11,1,9,1,11,3,8,1,11,2,9,1,11,1,13,1,9,2,10,1,9,2,8,1,9,1,13,2,8,1,9,1,13,1,9,1,13,1,7,1,8,1,13,1,9,1,13,1,9,1,13,2,9,1,11,1,13,1,9,1,13,3,9,1,13,1,9,1,13,1,9,2,13,1,8,3,9,2,13,2,7,1,13,4,8,3,13,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,6,1,13,2,7,1,13,2,9,1,13,3,9,1,13,2,8,2,6,1,13,1,8,3,13,1,9,1,13,1,9,2,13,2,9,6,13,1,11,1,9,1,13,1,9,3,13,1,9,1,13,4,8,1,9,2,13,2,9,1,13,2,8,1,6,1,13,2,8,1,13,5,9,2,13,1,9,4,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,10,1,8,1,9,3,8,1,9,1,13,9,9,2,11,2,8,1,9,2,7,1,9,1,8,1,13,3,8,1,7,1,13,5,9,1,13,1,9,3,11,1,17,2,11,1,12,1,17,3,11,1,8,1,17,1,9,2,10,1,12,1,11,1,10,1,24,4,8,1,24,1,7,1,8,1,10,1,7,1,8,1,6,1,13,1,7,1,6,2,7,1,6,2,7,1,6,2,13,1,6,1,8,1,6,2,13,1,29,1,8,1,24,1,7,1,13,1,29,1,7,2,29,1,6,1,7,1,6,1,7,2,6,2,29,2,30,1,6,1,7,2,30,1,7,1,6,1,29,1,6,1,28,1,30,1,6,1,7,1,29,1,28,2,6,1,30,3,6,1,28,1,29,1,6,1,30,1,29,1,30,1,28,1,30,1,29,1,30,1,29,4,30,2,29,1,30,1,6,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,2,30,2,28,1,30,2,29,1,28,5,30,2,28,1,30,1,28,4,30,1,28,19,30,2,28,13,30,2,28,9,30,1,28,3,30,1,28,8,30,1,28,7,29,1,28,2,30,1,28,2,6,1,28,2,7,1,30,1,6,2,29,1,6,1,13,1,8,1,7,1,8,1,6,1,8,1,13,2,6,2,13,1,6,2,13,2,7,2,6,2,13,1,7,1,6,1,13,1,7,1,6,1,7,1,6,2,30,1,6,1,7,1,28,1,6,1,29,1,6,1,7,1,28,4,30,1,28,4,6,1,29,1,28,1,8,1,30,2,28,1,30,1,6,1,28,8,29,1,28,24,30,1,28,6,30,1,28,1,30,1,29,1,30,1,28,2,29,1,28,2,6,1,28,4,30,1,28,2,30,1,28,3,30,1,28,2,29,2,6,1,29,1,30,2,28,1,6,2,28,1,29,1,6,1,30,1,29,1,7,1,30,1,28,1,29,1,28,1,6,3,28,1,29,1,6,1,28,3,30,1,28,18,29,1,28,4,30,1,28,4,6,2,30,1,6,3,13,2,9,2,11,2,17,6,16,2,11,1,17,1,16,1,11,7,9,2,11,1,9,1,11,2,10,1,11,14,16,1,9,1,11,3,10,1,9,1,11,1,16,1,11,2,16,1,11,1,16,1,11,2,9,3,11,1,10,1,11,1,10,1,9,1,11,2,16,1,10,1,9,1,11,1,9,1,11,2,9,2,11,1,16,2,17,2,11,1,16,3,17,1,16,1,11,1,17,1,11,1,16,1,11,2,16,1,11,2,16,1,11,1,10,1,11,2,17,1,9,1,17,1,11,2,16,1,17,5,9,1,17,4,11,1,16,1,17,1,16,1,11,2,9,1,10,1,9,1,11,1,16,1,9,5,10,1,9,1,8,1,9,2,8,1,9,2,8,1,13,1,9,1,8,1,9,1,8,1,13,1,9,2,11,1,9,4,8,1,16,1,9,3,10,1,9,2,11,1,13,1,16,1,9,1,10,1,9,1,8,2,9,3,11,1,8,1,13,1,8,2,9,1,8,1,9,2,11,1,13,1,9,2,11,1,9,1,11,2,9,1,11,2,13,3,9,1,13,8,9,3,13,1,8,3,9,1,13,2,9,3,11,1,13,2,9,1,16,1,11,1,9,1,11,1,16,1,9,1,16,1,11,3,9,1,11,2,10,1,9,1,13,1,9,1,11,1,9,6,16,1,11,4,9,1,16,2,11,1,16,1,11,1,9,1,11,2,9,1,11,2,16,1,11,2,16,1,9,1,16,1,11,3,9,2,11,1,9,7,16,1,9,1,13,5,6,3,30,1,28,1,13,2,6,1,13,1,9,1,13,1,8,1,9,2,13,1,33,64,5,483,17,1,9,2,8,1,11,1,8,1,9,2,13,1,9,1,11,1,5,48,33,1,28,56,6,1,30,1,28,1,6,1,30,2,28,16,6,1,28,1,30,1,13,1,30,2,6,5,28,1,6,1,30,1,13,1,6,1,13,1,9,1,13,3,9,1,13,3,30,2,6,1,13,1,30,1,13,3,6,1,28,1,13,1,30,1,28,1,6,1,28,5,30,1,28,2,29,1,30,1,6,1,28,9,30,1,28,3,30,1,28,2,30,1,28,3,30,1,28,2,30,2,28,2,30,3,6,3,13,2,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,3,30,1,6,1,30,1,6,1,13,1,30,1,13,2,6,1,30,1,6,1,30,1,6,1,28,7,13,1,33,1,5,158,33,3,13,2,6,5,13,1,6,2,13,1,7,1,6,1,7,1,13,1,6,1,13,2,6,1,8,1,29,1,13,2,6,1,13,3,8,1,13,1,29,2,30,2,28,1,30,1,28,1,6,3,29,2,13,2,28,1,33,1,5,134,28,13,13,1,12,2,11,1,13,2,8,1,13,1,28,1,30,2,6,1,7,1,24,1,8,1,10,1,17,2,6,1,28,6,11,1,16,1,9,1,13,1,29,1,30,1,29,1,28,25,16,1,17,2,10,1,9,2,8,1,11,1,12,1,10,1,8,1,13,1,29,1,6,3,8,2,17,2,9,1,6,1,28,3,}, {10,1,8,1,6,1,30,1,28,2,30,1,28,2,8,1,13,1,24,1,6,2,29,1,6,1,13,1,7,1,15,1,13,1,6,1,28,36,30,1,29,1,13,1,24,2,8,1,15,1,12,1,9,1,13,2,6,1,29,1,6,2,13,1,24,1,14,1,9,1,11,1,8,2,13,1,8,2,13,2,29,1,6,1,17,1,24,1,13,1,29,1,6,1,28,1,8,1,10,1,17,4,11,1,10,1,8,1,13,1,8,2,9,2,10,1,17,6,16,1,13,1,30,1,29,2,28,21,13,2,9,2,12,1,11,1,12,1,9,1,13,1,8,1,6,2,7,1,13,1,9,1,17,1,16,3,11,1,8,1,24,1,8,1,6,3,8,1,13,2,24,1,9,1,8,2,30,1,28,3,30,1,28,10,7,1,17,6,16,2,10,1,11,3,9,1,11,4,9,1,11,3,16,2,9,1,16,2,11,1,17,1,11,1,9,1,17,1,16,2,9,1,11,1,16,1,11,3,16,1,9,1,11,7,9,8,11,1,9,1,11,2,10,1,9,2,11,1,9,3,11,3,9,1,11,1,9,3,8,1,11,2,10,1,11,3,9,2,11,1,9,2,11,1,8,1,10,1,8,1,11,1,8,1,9,5,8,1,9,1,13,1,9,3,13,2,11,1,13,1,10,1,13,1,9,1,13,1,9,1,8,1,10,1,13,1,9,1,8,1,13,1,9,1,8,1,13,3,9,1,13,1,9,1,13,2,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,2,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,3,8,1,13,3,6,1,9,1,13,2,9,1,8,1,9,1,13,1,9,1,7,1,9,1,13,2,9,1,13,2,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,4,8,1,9,2,8,1,9,2,13,2,8,1,9,1,13,1,8,1,9,1,13,1,9,3,8,1,13,1,9,2,13,2,8,2,13,2,6,1,13,4,9,2,13,1,9,1,13,1,8,1,13,2,9,1,8,1,11,1,9,1,13,2,9,2,13,1,8,1,6,1,8,1,13,1,8,1,13,5,7,1,13,2,6,1,13,2,9,2,13,3,8,1,13,2,9,1,13,6,30,1,6,1,13,1,6,2,13,1,6,1,13,3,8,1,11,1,9,1,12,1,17,3,12,1,17,1,16,1,11,1,10,1,12,1,10,1,12,1,9,1,16,1,9,1,15,1,8,1,9,1,24,1,9,1,24,2,8,2,13,1,8,2,7,1,6,1,29,1,7,1,6,1,24,1,7,1,13,1,6,1,13,1,6,1,13,1,6,2,7,1,13,1,6,1,24,1,10,1,7,1,6,2,13,1,24,1,29,1,13,3,6,2,13,1,6,1,8,1,6,1,13,4,28,1,6,1,29,1,28,1,13,1,7,1,6,2,28,1,6,1,29,1,6,1,28,1,30,1,29,1,6,1,30,1,6,1,29,2,6,2,30,1,28,1,29,1,30,2,29,2,28,2,30,1,28,1,6,1,30,1,29,2,6,1,28,1,30,1,28,4,30,1,28,2,6,1,30,2,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,2,29,1,28,6,30,1,28,2,29,1,28,6,30,1,28,2,29,1,28,7,30,1,28,1,30,1,28,9,29,1,28,1,30,1,28,1,30,1,28,3,30,1,28,3,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,2,29,1,28,3,29,1,28,1,29,2,30,1,13,1,7,2,8,2,7,2,8,4,7,1,24,1,8,1,13,1,7,1,6,1,8,1,6,1,8,1,6,1,13,2,7,1,8,1,13,1,8,1,30,1,6,1,7,2,29,1,6,2,29,1,6,1,30,1,6,1,13,1,30,1,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,8,1,30,1,29,1,30,3,28,2,30,1,28,31,30,1,28,6,30,2,28,3,30,2,28,1,30,1,28,4,29,1,28,11,30,2,28,2,30,1,29,1,28,1,29,1,30,2,6,1,28,1,6,1,29,1,30,1,6,1,29,1,6,1,8,1,28,2,30,1,28,1,30,1,6,2,28,23,30,1,28,7,6,1,30,1,13,1,29,1,30,1,29,1,6,1,13,2,6,1,8,2,13,1,8,1,10,1,17,5,16,2,11,1,16,2,11,1,16,1,11,3,16,1,11,4,9,1,11,1,16,1,9,1,16,1,9,1,16,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,3,9,1,16,1,9,1,10,1,16,1,11,4,16,1,9,1,16,1,11,1,16,1,11,2,9,2,11,2,8,1,11,1,9,1,11,1,9,4,11,2,9,1,8,1,9,1,11,1,17,5,16,1,11,1,16,1,11,1,9,1,16,1,17,1,11,7,16,1,11,1,16,1,17,2,16,2,17,1,11,3,17,2,16,3,17,2,16,2,17,1,16,2,11,1,17,3,12,1,11,1,16,1,9,1,17,1,16,1,10,1,11,1,9,1,10,1,9,3,8,1,9,1,13,1,9,2,13,1,9,2,8,1,9,1,11,1,9,3,13,1,11,1,9,3,13,1,9,9,11,2,9,1,8,1,9,1,16,1,9,5,13,1,10,2,9,2,8,1,16,1,9,3,11,1,9,6,10,1,11,2,9,1,13,1,8,1,9,1,6,1,8,1,7,2,13,8,9,1,13,2,9,2,6,1,8,1,13,1,9,1,13,2,11,1,9,2,11,3,16,1,11,1,9,1,16,2,9,1,11,1,9,2,11,1,13,1,9,2,11,1,9,4,13,1,11,1,9,1,11,1,9,2,11,3,16,1,11,1,16,1,9,2,11,1,16,2,9,1,11,1,16,2,9,1,16,2,9,1,16,1,11,3,16,1,11,2,9,4,13,1,11,1,9,1,10,1,13,1,9,1,8,1,9,1,7,1,30,1,6,1,13,3,6,1,13,3,8,2,9,1,13,3,33,64,5,483,16,1,11,1,9,3,8,1,9,2,11,1,5,49,28,57,13,1,30,1,13,1,6,3,28,1,30,2,28,23,30,1,28,1,30,1,28,5,30,1,28,1,30,2,28,1,6,1,28,1,30,1,6,1,30,1,6,1,28,5,30,1,13,1,30,1,6,1,28,1,30,2,6,1,30,1,28,36,30,1,6,1,30,2,6,3,13,2,30,3,13,1,28,1,30,1,28,1,30,1,13,3,6,1,13,1,6,4,13,1,30,2,13,1,6,2,28,8,6,1,5,159,33,1,13,3,6,3,13,2,6,1,13,2,7,1,13,1,6,1,13,1,6,1,7,4,13,2,7,3,6,1,13,2,30,3,28,2,6,1,30,1,7,1,29,2,6,1,13,1,6,2,28,1,33,1,5,133,6,1,28,13,15,1,12,1,24,3,8,2,7,1,28,1,6,2,7,1,6,1,9,1,10,1,11,1,17,2,7,1,28,5,6,1,9,2,10,1,6,2,30,1,28,26,9,1,17,3,9,1,8,2,9,2,11,1,9,1,13,1,7,2,30,1,6,1,24,1,8,1,12,1,17,1,12,1,30,1,28,3,}, {9,2,6,1,30,1,28,1,6,1,28,2,29,1,13,1,15,1,24,1,6,3,13,1,6,1,7,1,9,1,8,1,30,1,28,35,29,1,28,1,6,1,13,1,29,1,9,1,7,1,15,1,14,2,8,1,6,1,13,2,7,1,6,2,9,1,15,2,9,2,8,1,30,1,24,1,8,2,13,1,29,1,13,1,11,1,9,1,13,1,6,1,29,1,6,2,9,1,17,3,11,2,9,1,11,1,8,1,10,1,8,1,17,1,11,1,17,7,16,1,13,1,28,1,29,1,30,1,28,21,7,1,8,1,9,1,10,2,12,1,17,1,24,2,13,1,6,2,30,1,29,1,11,1,12,1,17,1,16,1,11,2,13,2,8,1,13,1,6,1,29,1,6,1,8,1,6,1,8,2,9,1,24,1,30,2,28,7,30,1,28,1,30,1,28,3,13,1,17,4,16,4,11,2,16,3,9,1,11,1,9,1,16,1,11,3,16,1,11,6,16,1,11,1,10,1,16,1,11,2,16,2,11,3,16,2,11,1,16,2,9,1,11,3,9,1,10,1,9,1,17,1,9,1,11,2,9,1,11,1,9,1,11,1,10,1,11,2,9,1,11,7,9,1,11,3,9,1,8,1,9,1,16,1,11,2,16,1,11,1,9,1,11,1,9,6,11,1,9,4,8,1,11,1,13,1,8,1,9,1,13,1,11,1,9,1,8,1,13,1,9,3,8,1,9,2,13,1,9,2,8,1,9,2,8,1,9,3,8,2,9,2,8,1,9,1,8,1,13,1,9,1,8,3,13,1,8,1,13,2,8,1,9,1,8,1,13,1,10,1,9,1,13,1,8,1,13,8,8,1,13,1,8,3,9,1,13,2,9,1,13,1,9,1,8,2,13,1,9,1,7,1,8,1,13,2,9,1,8,1,9,3,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,3,8,2,9,1,13,1,8,3,13,2,9,1,13,1,8,2,13,1,9,1,13,1,8,2,13,1,8,1,13,3,8,1,13,1,8,1,9,2,8,4,13,1,9,1,13,1,11,1,8,1,9,5,13,3,6,2,13,2,8,1,13,2,8,1,13,7,9,2,13,4,9,1,8,1,13,5,6,1,7,1,6,1,7,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,7,1,13,1,8,1,9,2,11,1,12,1,17,6,11,1,12,1,9,1,11,1,16,1,8,1,11,1,8,1,9,2,12,1,24,1,9,1,24,1,8,2,12,1,7,1,24,3,7,1,8,1,7,1,8,1,13,1,29,1,13,1,6,1,13,3,8,1,13,1,8,1,6,1,24,1,8,1,6,1,24,1,6,1,29,1,13,1,8,1,29,1,6,3,30,1,6,2,29,1,13,2,29,1,6,1,28,1,8,1,6,1,13,1,7,1,29,1,7,1,6,1,29,1,7,1,29,1,6,1,28,1,6,1,29,1,7,1,30,2,6,1,30,1,28,1,30,1,28,1,6,1,30,1,7,1,6,1,28,1,30,1,6,1,30,1,29,1,28,2,30,1,28,3,29,1,28,2,29,1,28,2,29,1,28,1,29,1,28,2,6,1,28,2,29,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,1,6,1,7,1,30,1,28,2,6,1,28,3,29,1,28,2,29,1,28,6,29,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,1,30,1,28,2,29,1,28,6,30,3,28,3,30,3,29,1,30,1,28,1,7,1,28,1,6,1,30,1,28,1,13,1,28,1,13,1,6,2,24,1,7,1,8,1,7,1,8,1,13,1,24,1,13,1,24,2,6,1,13,1,8,2,24,1,7,1,8,1,7,1,9,1,7,1,13,2,8,1,13,1,8,1,7,2,29,1,6,4,29,2,7,1,6,2,29,1,6,2,30,1,28,1,29,1,7,1,30,1,28,1,29,1,6,1,8,1,29,1,28,1,30,1,28,1,29,1,28,2,30,1,28,45,30,1,28,1,29,1,28,19,30,1,28,2,30,2,29,2,28,1,6,1,29,3,7,1,8,1,7,2,28,2,30,2,29,1,30,1,28,5,30,1,28,15,30,1,28,5,29,1,28,5,6,1,30,2,7,1,6,3,13,1,6,2,13,2,6,1,13,1,9,1,17,3,16,1,11,1,17,1,9,1,11,3,10,1,11,5,9,5,11,1,9,2,11,1,9,1,11,1,9,1,11,1,10,1,16,2,6,1,9,1,11,2,16,1,9,1,11,4,16,1,9,1,17,1,11,2,16,1,9,1,11,2,9,1,11,1,9,7,11,1,9,1,11,3,17,2,11,1,17,1,11,2,17,1,11,3,17,1,11,1,16,2,11,1,16,1,11,2,8,1,17,1,9,1,17,1,16,2,9,1,16,1,10,1,17,1,10,1,17,2,16,1,17,1,16,2,17,1,11,1,17,3,16,1,11,1,16,1,17,1,9,1,17,1,16,3,17,1,16,4,11,1,16,1,11,1,17,1,16,1,17,2,12,1,11,1,9,1,8,1,9,1,13,1,11,1,8,1,10,1,8,3,9,2,11,2,16,1,9,1,11,1,9,1,10,1,8,3,16,2,9,1,8,1,16,2,11,1,13,1,16,1,9,2,11,1,9,1,11,1,16,1,9,2,16,1,8,1,11,5,13,1,9,2,13,1,8,1,10,1,8,1,9,1,8,1,11,1,9,1,11,1,9,1,11,1,16,1,8,1,11,1,17,1,13,7,8,1,13,1,28,1,13,6,6,1,13,5,9,3,11,3,16,1,11,2,16,1,11,1,16,1,11,1,9,1,11,2,9,1,11,2,9,1,16,1,9,3,11,3,9,1,11,2,9,2,11,1,9,1,11,1,16,1,11,3,10,1,9,1,11,3,16,1,11,1,9,2,11,1,9,1,16,1,11,1,9,1,11,2,9,2,11,1,10,1,9,1,11,1,9,2,13,1,8,1,13,1,9,1,30,1,13,3,30,1,6,1,13,1,6,1,13,2,6,1,13,2,8,1,9,4,13,1,33,65,5,482,16,2,11,1,9,1,11,1,16,2,5,50,28,59,13,2,6,1,30,2,6,3,30,1,28,19,30,1,28,17,30,1,6,1,28,1,30,3,28,2,30,1,6,2,13,1,28,2,6,1,30,2,6,2,29,1,28,13,6,3,30,1,28,21,30,1,6,1,28,1,30,1,6,1,13,2,6,2,30,1,6,1,30,1,13,1,28,1,6,1,30,1,6,1,28,1,13,1,6,1,13,1,6,2,13,1,6,1,30,1,28,1,6,1,28,8,33,1,5,159,33,2,28,1,13,4,9,2,13,5,7,1,13,1,7,1,13,1,6,1,13,1,7,1,30,1,13,1,30,1,7,1,13,1,7,1,13,2,28,1,6,1,29,1,30,3,6,1,29,1,13,2,6,1,13,1,30,1,28,1,33,1,5,133,28,11,29,1,28,1,6,1,14,1,17,1,11,1,17,1,12,1,10,1,24,1,6,1,30,2,6,1,13,1,8,2,9,2,17,1,12,1,6,1,28,5,6,1,14,1,9,1,8,1,6,1,29,1,30,1,28,1,30,1,28,24,9,1,17,3,8,1,9,1,17,1,10,1,8,1,9,1,13,3,30,1,7,1,6,2,8,2,17,1,12,1,29,1,28,3,}, {15,1,9,1,30,1,29,2,30,1,28,1,30,1,28,1,13,1,24,2,8,1,6,1,30,1,29,1,6,1,13,1,15,1,9,1,28,35,30,2,28,1,6,2,8,1,24,1,8,1,9,1,14,1,9,2,6,1,29,1,7,1,30,1,13,1,6,1,15,2,11,1,9,1,13,1,6,2,8,1,24,1,8,2,7,1,8,1,12,1,9,1,13,1,6,1,29,1,28,1,6,1,8,1,17,3,9,2,16,1,11,1,16,1,9,1,8,1,9,1,10,1,17,7,14,1,13,1,29,1,30,1,6,1,28,19,29,1,28,1,6,1,24,2,8,1,12,2,11,1,9,1,8,1,13,1,6,1,7,1,6,2,8,1,17,1,11,1,17,1,16,1,12,1,8,1,6,1,13,1,7,1,8,1,13,1,8,3,9,1,13,1,10,1,24,1,29,1,28,6,30,1,28,7,24,1,17,5,16,2,11,1,9,1,16,1,10,1,11,1,9,1,16,1,10,1,11,1,9,1,16,1,11,1,9,2,16,1,11,1,10,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,9,1,11,3,16,2,10,1,9,1,10,1,11,1,16,2,8,1,10,1,8,1,11,1,9,5,11,3,9,3,11,1,9,1,11,1,8,1,9,1,11,2,9,4,16,1,8,1,10,1,16,1,9,1,11,1,9,2,11,1,9,2,10,1,9,1,11,1,9,3,8,1,9,2,8,1,9,12,13,1,9,1,8,1,9,1,13,1,9,3,10,1,13,1,9,2,8,1,10,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,8,2,9,1,13,1,9,1,13,4,9,2,13,4,9,1,13,1,9,1,13,2,9,2,8,1,9,1,13,1,9,2,11,1,9,1,13,2,7,2,13,2,8,1,6,1,13,1,8,1,9,2,8,1,9,1,13,2,8,1,9,2,8,1,9,1,8,1,9,2,13,1,9,1,11,1,9,2,8,2,13,1,9,1,8,1,13,3,9,2,13,6,8,1,6,1,13,4,9,2,13,1,9,1,13,1,9,4,11,1,13,1,9,1,13,2,8,1,13,1,6,1,13,2,6,1,13,2,7,1,8,1,13,3,9,2,13,2,7,1,6,1,9,2,8,1,9,1,13,3,29,1,13,2,6,2,13,1,8,1,13,1,9,1,13,1,8,1,6,1,13,3,6,1,13,2,6,1,13,3,9,4,10,1,11,1,17,5,16,1,12,2,16,2,10,1,9,1,10,1,24,1,12,1,9,1,24,1,8,1,13,1,9,1,10,1,8,4,10,1,7,1,13,2,8,1,29,1,13,1,8,1,13,1,7,1,24,1,13,1,7,1,8,1,13,1,8,1,13,3,7,1,13,1,6,1,8,1,13,1,6,1,13,1,8,1,7,1,9,1,30,1,13,1,6,3,7,1,6,1,13,1,7,1,28,1,6,1,30,1,7,1,13,1,7,1,30,1,29,1,13,1,28,1,6,1,7,2,29,1,6,2,30,2,6,1,29,1,28,3,6,1,30,1,8,1,13,1,28,1,6,1,28,1,30,1,28,3,30,1,6,1,30,2,28,3,30,1,29,3,28,1,30,3,28,1,29,2,28,1,30,1,28,2,30,3,6,1,28,1,30,5,28,1,30,1,28,2,30,1,28,2,29,1,28,1,6,1,29,1,28,1,30,1,28,5,6,1,28,3,30,1,28,3,29,1,28,5,30,2,28,1,29,1,28,1,30,1,28,1,30,1,28,8,30,1,28,2,29,1,28,1,30,4,28,2,30,1,29,1,28,1,30,1,28,1,30,1,28,2,29,1,28,1,29,3,28,1,6,1,8,1,6,2,7,1,13,1,7,1,8,1,13,1,8,1,10,1,13,1,7,1,24,2,13,1,8,3,7,1,8,1,7,1,8,1,13,1,8,2,13,1,24,1,6,1,7,1,13,1,8,2,30,1,13,1,7,1,29,1,6,2,7,1,13,1,7,1,6,1,30,1,6,4,29,1,30,1,6,1,30,1,6,1,24,1,29,1,6,1,29,1,30,1,28,2,30,1,28,26,30,1,28,20,29,1,28,25,30,1,28,1,30,1,28,2,6,1,13,1,6,1,13,1,8,1,28,1,6,1,29,1,30,2,29,1,7,1,30,1,28,1,30,1,28,3,13,1,28,27,6,1,28,1,29,1,30,1,29,1,6,2,13,1,6,1,29,1,6,1,7,3,24,1,8,2,11,1,17,1,9,2,11,2,16,3,10,1,9,1,17,1,16,1,9,2,11,5,10,1,11,3,9,2,16,1,11,1,9,1,16,1,11,1,9,4,8,1,9,1,10,1,11,1,8,1,11,1,9,1,11,1,9,1,11,2,9,2,11,1,9,1,8,1,9,1,11,1,9,2,10,1,9,1,10,1,9,1,11,2,16,1,17,1,16,1,11,1,16,1,17,1,11,1,17,1,9,1,16,1,11,2,17,2,16,1,17,1,11,2,17,1,9,1,11,2,9,1,10,1,17,2,11,1,9,2,11,1,16,1,9,1,11,2,17,1,11,1,17,1,16,1,17,6,16,1,17,1,16,1,11,1,16,1,17,1,11,2,16,3,11,2,16,1,11,1,9,1,11,1,17,2,9,1,17,2,12,1,11,1,9,1,16,1,8,1,9,1,8,1,9,2,13,1,16,1,13,1,9,3,8,2,10,1,16,1,9,2,11,1,9,1,16,1,17,1,9,1,16,1,9,1,8,1,11,1,9,1,8,1,11,2,8,1,9,2,8,1,13,1,9,2,13,1,11,1,13,1,9,3,11,1,9,2,11,1,9,4,13,1,9,4,13,2,9,1,8,1,13,3,6,1,13,2,9,2,13,13,9,2,11,2,9,2,16,1,11,3,9,1,11,1,10,1,11,1,9,4,11,1,9,2,11,1,9,1,16,1,11,1,9,2,11,3,16,1,9,2,16,1,11,4,9,1,10,1,11,1,16,1,11,2,16,1,9,1,11,2,16,1,11,2,16,1,11,1,16,1,11,3,10,1,11,1,9,4,13,4,9,1,13,5,6,1,7,1,13,2,7,2,9,2,13,3,9,2,33,67,5,482,9,1,16,1,13,2,5,51,28,61,30,2,28,1,30,2,28,1,13,1,28,1,13,1,30,1,28,15,30,1,28,23,30,1,28,6,6,2,28,1,30,1,28,1,6,1,28,1,6,1,28,18,6,1,28,23,30,2,6,5,30,2,28,2,30,2,13,1,6,2,13,1,30,1,13,2,30,1,13,2,6,3,28,1,30,1,28,6,13,1,5,160,28,7,30,1,13,1,30,1,29,1,13,4,6,4,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,29,2,7,1,29,2,6,2,7,1,6,1,7,1,13,1,28,1,33,1,5,134,6,1,28,10,30,1,28,1,29,1,24,1,17,2,11,1,8,1,10,1,8,1,7,1,30,1,29,2,13,1,24,1,8,1,24,1,17,2,9,1,30,1,28,5,6,1,17,2,24,1,6,1,29,1,30,2,28,25,9,1,17,3,9,2,8,1,12,1,9,1,13,2,8,1,6,1,29,1,30,1,6,1,8,2,24,1,15,1,12,1,28,4,}, {15,1,14,1,6,1,30,2,29,1,30,2,6,1,13,1,9,1,13,1,6,4,7,1,13,1,8,1,9,1,30,1,28,32,30,1,28,4,6,1,7,1,24,2,8,1,11,1,14,1,12,1,13,1,8,1,6,4,7,1,8,1,17,1,14,1,8,1,13,1,30,1,13,2,8,1,24,1,8,1,13,1,8,1,17,1,24,1,7,1,28,2,30,2,8,1,17,3,9,1,11,1,12,1,11,1,9,1,10,1,24,1,9,1,12,1,17,7,14,1,29,1,13,1,30,1,29,1,28,2,30,1,28,18,6,1,7,1,24,3,17,2,9,2,13,1,6,1,13,1,7,1,13,1,8,1,17,4,11,1,8,2,24,1,13,1,24,1,30,1,6,1,8,1,13,1,24,2,10,2,6,1,28,7,30,1,28,4,29,1,6,1,8,1,17,3,16,4,11,1,16,1,11,1,16,1,11,2,16,2,11,3,9,1,16,2,10,1,11,1,9,1,16,1,11,1,16,1,13,1,11,2,9,3,11,1,16,5,11,2,17,1,11,1,16,1,11,2,9,1,11,1,9,1,10,1,16,1,9,1,11,1,9,1,11,4,9,1,11,1,10,1,9,1,16,1,9,1,11,1,16,1,9,5,8,1,13,1,9,2,11,2,9,1,10,1,8,1,9,2,10,1,16,1,9,3,16,2,9,1,11,1,9,2,11,1,13,1,9,2,8,1,11,1,9,2,10,1,9,1,8,1,9,1,8,1,13,1,8,1,9,2,13,2,8,1,9,1,8,1,9,2,6,1,8,1,9,1,13,1,9,1,11,1,13,1,9,1,10,1,13,1,8,1,9,1,13,2,9,1,8,1,9,1,13,2,7,1,9,1,13,2,9,1,8,1,13,3,9,1,13,2,8,1,9,1,13,2,10,1,9,3,13,1,8,1,13,1,8,1,9,1,8,2,13,1,9,1,13,1,8,2,6,1,13,2,8,1,9,2,13,1,9,1,11,1,8,3,13,1,9,2,11,1,9,3,8,1,9,1,8,1,6,1,13,1,7,1,13,2,8,1,13,3,9,2,13,1,9,1,13,2,6,1,8,1,13,3,9,3,11,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,13,6,6,1,13,2,6,2,13,2,6,1,13,3,8,1,13,1,9,2,13,4,8,1,6,1,7,1,13,3,6,1,13,1,9,1,13,8,8,1,13,5,28,1,30,1,6,1,9,1,13,1,10,1,11,1,16,1,17,3,16,1,17,1,16,2,17,1,12,1,17,3,9,1,13,1,9,1,10,1,24,1,9,1,12,1,24,1,10,1,8,1,13,1,8,1,13,1,24,2,13,1,9,1,8,1,9,1,8,1,24,2,13,2,8,1,6,1,24,1,8,1,13,1,7,1,8,1,13,1,6,1,13,1,6,1,13,1,8,3,13,1,6,2,24,1,29,1,6,1,8,1,13,1,6,3,8,1,29,1,7,1,6,1,7,1,6,2,29,3,13,1,29,1,6,3,29,1,13,2,28,1,30,2,6,1,28,1,7,1,6,1,28,1,30,1,29,2,30,1,6,1,28,1,29,1,6,2,29,2,6,2,30,1,28,1,6,1,28,1,29,1,30,1,28,1,29,1,28,1,30,1,29,1,30,1,29,1,30,1,28,2,29,1,28,1,29,1,30,1,28,2,30,2,28,1,29,1,28,1,29,1,30,4,28,2,30,1,28,1,30,1,28,1,30,2,28,3,6,1,28,1,30,1,28,2,30,3,29,1,28,1,29,1,28,2,30,1,6,1,28,1,29,1,28,2,30,1,28,5,29,1,28,5,30,1,28,1,30,2,28,2,29,1,30,4,28,1,29,1,28,3,6,1,29,2,6,1,30,1,29,1,30,1,29,2,7,3,6,1,7,1,13,1,7,1,8,4,13,1,12,1,13,1,24,3,8,4,24,2,8,1,13,1,8,5,13,1,8,1,6,1,7,2,29,1,7,1,13,1,28,1,6,1,29,2,6,1,7,1,6,1,13,1,6,2,8,1,6,1,30,1,8,1,29,1,8,1,7,1,28,19,30,1,28,2,30,1,28,7,6,1,28,3,30,1,28,2,30,1,28,9,30,1,28,4,30,1,28,29,6,1,29,1,6,1,13,1,28,1,29,1,28,6,6,1,28,1,6,1,29,1,6,1,28,1,30,1,28,4,30,1,28,12,6,1,28,6,30,1,28,6,30,1,28,1,6,2,30,2,29,1,6,1,30,1,6,1,30,1,7,1,6,1,13,1,7,1,13,1,6,1,24,1,17,1,9,1,13,1,11,1,9,1,10,2,9,1,11,1,16,1,11,4,13,1,11,1,16,1,11,2,9,2,10,1,9,2,11,3,16,1,11,1,16,1,9,1,11,1,9,3,8,1,9,1,11,2,9,4,11,1,9,1,11,1,9,4,11,1,9,3,16,1,17,1,11,1,17,4,16,1,17,1,11,1,16,2,17,2,11,1,17,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,10,1,16,1,9,3,11,1,9,1,17,1,9,3,10,1,11,1,9,3,11,3,16,1,11,1,16,1,11,1,8,1,11,1,9,1,17,2,11,1,9,1,11,4,9,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,11,2,17,3,10,1,17,3,11,1,10,1,9,1,17,2,16,1,11,1,16,1,13,1,11,1,9,3,8,1,9,2,13,1,10,1,9,3,17,1,9,1,17,3,9,1,11,1,9,1,11,4,8,1,11,1,8,3,11,1,8,1,13,1,9,1,8,2,13,1,11,1,8,1,9,2,8,1,9,2,11,1,9,1,13,3,9,1,13,1,8,1,13,3,9,1,13,1,6,1,13,2,9,1,6,1,13,1,8,1,7,1,13,2,6,1,7,1,13,2,6,2,13,1,9,4,8,1,9,2,16,1,9,2,16,1,10,2,9,1,16,1,11,2,9,2,11,1,10,1,9,5,11,5,16,2,11,1,9,2,11,3,9,1,10,1,11,3,9,4,11,7,16,1,11,1,16,1,11,1,9,1,10,1,11,1,9,2,13,4,8,1,13,1,6,1,13,1,6,1,13,1,8,1,13,1,29,1,30,1,7,1,13,2,9,2,13,2,9,1,13,1,33,68,5,481,28,3,5,51,28,63,30,1,6,1,28,1,6,1,13,1,28,1,30,1,6,1,28,1,6,1,30,1,6,1,28,26,30,1,28,16,30,1,28,1,30,1,28,1,30,1,28,45,30,1,28,1,30,1,28,1,6,2,13,1,6,2,28,4,6,3,13,2,6,1,13,2,6,2,13,2,30,1,28,10,5,160,33,3,13,2,28,1,13,2,29,1,6,1,7,1,6,1,7,1,13,2,6,2,13,3,7,1,13,4,6,1,30,1,6,1,29,2,6,2,13,1,6,1,13,1,30,1,33,2,5,134,6,1,28,9,30,1,28,2,6,1,10,1,17,3,10,2,24,1,6,1,30,1,29,1,6,2,9,2,17,1,12,1,17,1,10,1,28,6,8,1,12,1,9,1,13,1,29,1,30,2,28,26,14,1,17,3,10,2,11,1,10,1,24,1,8,2,13,2,6,2,8,3,10,1,17,1,12,1,28,4,}, {14,1,9,1,6,1,29,1,30,1,6,1,28,1,30,1,6,2,24,1,13,2,29,2,30,1,29,1,7,1,24,1,9,1,29,1,30,1,28,33,30,1,28,2,6,1,13,1,8,1,10,1,9,1,10,1,11,1,15,1,8,1,6,1,29,1,6,1,30,1,29,2,13,1,17,1,11,1,8,1,6,1,29,1,7,2,8,1,13,1,24,1,8,1,6,1,17,1,11,1,8,1,29,1,6,2,7,1,24,1,17,2,11,1,10,2,17,1,11,1,16,1,10,1,8,1,12,1,10,1,17,8,13,1,6,1,29,1,30,1,28,21,13,1,7,1,8,1,24,1,9,1,11,1,17,1,9,1,24,1,13,1,7,1,6,3,8,1,17,4,11,1,9,1,24,1,13,1,8,2,13,1,7,1,8,3,12,1,10,1,24,1,6,1,28,1,30,1,28,9,6,1,30,1,6,1,10,1,17,6,11,1,16,1,11,1,16,1,11,2,9,1,16,1,9,1,11,1,16,1,11,1,16,1,10,1,11,2,16,1,9,2,16,2,11,5,16,1,11,7,16,1,11,1,16,1,11,1,9,1,16,1,9,1,11,2,9,1,11,3,9,4,16,1,11,2,9,1,11,1,9,1,11,2,9,2,13,1,10,1,9,2,11,1,9,2,13,1,11,1,9,1,11,1,9,2,16,1,10,1,16,1,11,1,9,1,11,2,9,1,11,4,9,2,8,2,10,1,13,1,9,1,11,1,9,2,13,1,10,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,3,8,1,13,1,30,1,13,1,6,1,13,1,8,1,9,1,13,1,9,1,8,1,13,3,9,1,13,6,9,4,8,1,13,6,8,1,9,2,13,1,9,6,13,3,9,1,13,1,9,2,13,1,9,1,8,1,13,2,9,2,8,1,13,1,8,1,9,1,13,1,9,3,13,1,9,2,13,1,8,1,9,3,13,1,8,1,9,1,13,2,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,2,8,1,13,1,8,3,9,2,13,1,9,1,13,1,9,1,8,1,13,1,9,2,13,1,9,1,13,2,9,1,13,2,9,1,10,1,13,2,6,2,13,1,30,1,13,6,6,1,8,1,13,1,9,2,13,2,6,3,13,6,9,1,8,1,13,2,9,1,8,4,13,1,8,2,9,1,13,1,9,1,13,2,8,1,13,4,9,1,11,3,17,5,16,1,17,1,16,1,17,3,9,1,17,1,10,2,17,1,10,1,24,1,9,1,12,1,9,1,24,2,10,1,8,1,24,1,8,1,9,1,24,1,8,1,24,1,8,1,10,1,24,1,6,1,13,1,10,1,17,1,6,1,13,1,7,1,13,2,8,1,13,1,24,1,6,1,7,1,13,1,6,1,13,1,6,3,13,1,7,1,6,1,29,1,6,1,13,1,29,1,8,1,28,1,30,1,24,1,8,1,29,1,7,1,6,2,7,1,6,1,29,2,7,1,29,1,6,1,29,1,7,1,24,1,13,1,6,1,30,1,6,2,29,1,13,1,6,1,30,2,6,2,29,1,28,1,29,2,30,1,26,1,6,1,28,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,30,1,6,3,30,1,28,2,29,1,28,1,30,1,28,2,30,3,6,1,30,2,29,1,28,2,30,4,29,1,30,2,29,1,28,1,7,1,28,2,6,2,28,1,6,1,28,3,30,2,29,4,30,2,29,1,28,2,30,3,28,1,30,1,28,1,30,1,28,3,30,2,28,5,29,1,30,1,29,1,28,2,30,1,6,1,28,3,30,1,28,2,6,1,28,1,30,1,6,1,29,1,13,2,7,2,6,1,8,3,24,1,8,1,7,1,13,1,8,1,7,1,10,1,13,1,24,1,13,1,8,1,7,1,8,1,13,1,24,1,8,2,13,1,24,1,13,2,8,1,24,2,8,1,13,1,8,1,7,1,13,1,8,1,29,1,6,1,7,1,6,1,29,1,6,2,29,1,6,2,7,1,13,1,7,1,6,1,25,1,7,1,26,1,29,1,8,1,6,1,7,1,28,2,30,1,28,4,29,1,28,4,30,1,28,2,6,1,28,7,29,1,28,2,30,1,28,3,30,1,28,1,6,1,28,1,30,1,28,3,30,1,28,7,29,1,28,5,29,1,28,24,30,1,7,1,28,2,13,1,7,1,29,2,30,1,28,4,30,1,29,1,28,1,30,1,29,2,28,1,30,1,28,19,30,1,6,1,28,15,6,1,28,1,30,3,29,1,6,1,29,1,6,1,30,1,6,1,29,1,30,1,7,1,8,1,13,3,9,1,16,1,9,1,11,2,9,1,11,4,9,1,13,1,10,1,9,1,11,1,10,1,11,1,8,1,9,4,11,2,9,2,11,1,9,2,16,1,9,1,10,2,9,1,16,1,9,1,10,1,9,4,8,1,9,1,8,1,11,1,9,4,11,1,16,1,17,3,16,3,17,3,10,1,17,1,16,3,17,2,9,1,16,1,17,1,11,1,16,2,8,1,9,1,8,1,9,1,11,1,13,1,9,2,8,1,9,2,8,1,16,1,10,1,9,1,8,1,11,1,17,1,16,1,17,1,9,1,16,2,10,1,9,1,16,1,9,1,11,1,9,1,8,1,16,1,8,1,9,1,11,2,9,1,12,1,9,1,11,1,17,1,16,1,11,1,9,1,12,1,11,2,17,2,11,2,10,1,11,1,17,1,11,2,9,4,11,2,16,1,11,1,9,1,16,1,11,1,9,3,11,1,10,1,9,1,11,1,13,1,8,1,9,1,8,1,9,1,17,1,9,1,17,1,9,1,10,1,16,1,11,1,9,1,11,1,16,1,11,1,9,1,16,1,13,1,8,1,9,1,8,1,13,1,9,1,8,2,9,5,7,1,13,1,9,1,10,1,9,1,10,1,8,1,13,1,11,2,13,1,6,1,13,1,6,1,13,4,6,1,13,1,6,2,7,1,6,2,30,1,7,1,6,2,13,1,8,1,9,1,8,1,9,8,11,3,9,3,11,3,9,1,10,1,9,1,11,2,9,1,11,3,10,1,16,1,9,1,16,1,11,2,10,1,11,1,16,1,11,1,9,1,11,2,9,2,11,1,9,1,11,1,9,1,11,2,9,1,11,3,9,3,16,2,9,1,11,1,16,1,9,3,13,5,7,1,30,1,13,1,8,1,6,1,13,1,7,1,13,1,6,2,13,1,9,3,13,1,9,1,13,1,33,70,5,533,28,66,30,1,28,1,13,1,28,2,30,1,13,1,6,2,28,1,30,1,28,33,30,1,28,49,30,1,28,13,13,1,30,1,28,1,6,2,28,2,30,2,28,2,6,1,13,1,6,1,13,1,6,1,9,1,13,3,28,1,6,1,28,2,6,1,28,6,13,2,5,162,6,1,28,1,9,1,7,1,6,1,13,3,7,3,13,1,29,1,13,1,6,1,13,2,6,1,7,2,13,2,7,1,6,1,30,1,7,1,13,1,30,1,13,1,9,2,33,2,5,134,28,13,30,1,11,1,17,2,11,1,9,1,10,1,24,1,6,3,30,2,24,1,15,1,11,1,17,1,16,1,12,1,28,6,13,1,16,1,8,1,6,1,30,1,28,1,30,1,28,25,6,1,14,1,17,2,11,1,16,1,10,1,9,2,8,1,9,1,24,1,13,1,6,3,7,1,13,1,24,1,8,1,9,1,12,1,28,4,}, {14,1,11,1,13,1,30,2,6,1,30,1,13,1,29,1,6,1,9,2,24,1,30,1,29,1,6,2,13,1,8,1,14,1,30,1,28,36,29,1,6,1,8,2,9,2,12,1,16,1,10,1,24,1,6,2,28,1,6,1,28,1,30,1,11,1,16,1,11,1,8,1,13,1,30,1,6,2,13,1,6,1,8,1,29,1,6,1,10,1,17,1,6,3,30,1,6,1,9,1,17,1,11,1,17,2,12,1,16,1,10,2,17,1,8,1,12,1,17,1,10,1,17,6,16,1,7,1,30,3,28,21,6,1,8,1,24,1,8,1,24,1,9,1,17,1,10,1,13,2,6,1,7,1,6,1,30,1,24,1,17,4,11,1,16,1,10,1,8,2,13,1,8,4,10,1,24,1,9,2,13,1,28,2,30,1,28,7,30,1,28,2,30,1,8,1,17,5,16,1,11,2,9,1,11,2,16,6,11,3,16,3,11,2,9,1,16,1,9,1,11,4,16,4,9,1,11,2,9,1,16,2,10,1,11,1,9,1,10,1,11,3,9,2,10,3,9,1,11,1,9,2,10,2,9,3,11,1,9,2,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,16,1,9,1,16,3,11,2,16,3,11,4,9,1,11,1,10,1,9,3,8,2,13,1,9,1,8,1,9,1,10,1,8,1,9,1,10,1,11,1,9,1,8,1,9,2,8,2,11,2,10,1,9,4,8,1,13,1,8,1,13,4,8,4,13,1,9,1,13,3,8,1,9,2,13,1,9,5,8,3,9,1,13,1,10,1,9,2,13,1,8,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,13,2,9,2,13,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,8,2,13,1,9,2,13,1,9,1,13,1,8,1,13,1,9,2,13,5,8,1,13,2,7,1,13,2,9,2,13,1,9,1,8,2,13,1,9,1,13,3,9,1,13,1,9,1,13,1,9,1,13,1,8,2,13,2,8,1,9,2,13,4,6,2,13,2,30,1,6,4,13,2,9,1,13,1,7,1,13,4,8,1,13,5,8,1,7,1,13,2,8,1,9,1,13,1,8,1,13,1,9,2,8,1,9,2,13,1,9,2,8,1,13,4,8,1,9,2,11,3,16,1,11,1,17,4,16,2,17,3,16,1,17,1,10,1,17,1,12,2,9,1,11,1,9,4,24,1,9,1,11,1,9,2,8,2,9,1,8,1,9,1,13,1,9,1,24,1,8,3,6,1,8,1,13,2,7,1,13,1,7,1,8,1,6,1,9,1,13,1,6,1,13,1,8,1,13,1,6,1,7,1,8,1,6,2,7,1,13,2,8,1,6,1,7,2,6,2,29,1,13,1,29,1,6,1,7,3,8,1,29,2,30,1,6,1,30,1,6,1,13,1,6,3,29,1,7,1,6,1,29,2,6,1,29,1,6,1,30,2,28,1,29,1,30,1,29,1,28,1,6,1,30,1,6,1,29,2,6,1,28,1,29,1,30,1,29,1,28,2,6,1,28,1,29,2,30,1,29,1,6,1,28,1,6,1,30,4,29,1,6,1,28,1,6,1,28,3,29,2,30,1,6,1,29,1,30,2,28,1,30,1,28,2,30,2,28,1,29,1,6,2,30,2,29,1,28,1,30,1,28,3,30,1,28,1,29,1,28,1,6,1,30,1,28,1,6,1,28,2,30,1,28,5,30,1,28,2,29,1,28,1,29,2,30,1,28,1,29,1,6,1,30,1,28,1,30,2,28,1,13,1,29,1,28,1,7,1,28,1,13,1,7,1,6,1,7,1,8,2,13,1,8,1,13,1,24,1,12,1,8,1,24,5,13,1,24,2,8,2,9,1,8,1,24,1,8,1,24,1,7,1,9,1,6,1,8,3,7,1,8,1,7,1,24,1,7,1,8,1,24,1,13,2,6,1,7,2,6,1,7,1,13,1,6,1,29,1,7,1,29,1,8,1,6,1,8,1,24,1,6,1,7,1,29,1,30,1,28,1,30,1,29,1,30,1,28,2,30,1,28,1,30,1,28,4,30,1,28,7,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,2,30,1,29,1,30,1,28,1,30,1,28,1,30,2,28,6,29,1,28,15,30,1,28,12,6,1,28,1,29,1,8,1,6,2,13,1,28,2,30,1,28,2,30,1,28,1,30,2,28,1,29,1,28,3,29,1,13,1,28,3,30,2,28,6,30,1,28,7,30,1,29,1,28,15,13,1,30,1,6,1,30,2,28,1,6,1,30,2,6,3,30,1,8,1,6,4,13,3,8,1,11,1,9,5,10,1,9,2,11,1,9,3,11,1,9,1,10,1,9,2,11,2,9,1,16,1,11,2,9,2,10,1,9,5,8,1,9,4,13,1,11,1,8,1,9,4,16,1,17,6,11,1,17,1,11,1,17,1,16,3,17,1,9,1,17,2,16,1,17,3,16,1,9,1,16,1,11,1,9,1,11,1,8,1,13,1,9,1,13,1,9,2,8,1,9,1,11,1,13,1,9,1,16,1,11,1,9,1,16,1,11,1,16,1,17,1,11,1,16,2,10,1,16,1,11,1,9,1,16,1,11,3,9,2,11,1,9,2,16,1,9,1,11,1,16,2,9,2,16,1,8,1,11,1,9,1,11,1,12,1,11,1,9,1,17,1,9,1,11,1,17,1,9,1,11,1,17,1,11,1,9,1,11,1,10,1,11,1,9,2,16,1,11,1,16,1,9,2,16,1,9,1,16,1,9,1,10,1,9,2,12,1,11,2,8,1,9,1,16,1,9,2,8,1,11,1,9,2,8,1,9,4,10,1,9,2,13,1,9,6,11,1,8,1,11,1,10,1,9,1,8,1,11,1,9,3,11,1,13,1,7,1,30,1,8,1,13,2,7,1,13,2,6,1,8,1,13,2,6,1,7,1,13,2,8,1,13,1,9,1,13,1,9,7,8,1,9,2,11,4,9,1,11,5,16,2,9,2,11,2,9,1,16,2,11,2,9,1,16,1,11,1,16,1,10,1,9,2,10,1,9,1,11,3,9,1,11,1,9,2,11,1,9,1,11,1,9,1,16,1,11,4,10,1,9,1,11,2,9,4,13,8,6,1,7,1,29,1,13,2,6,1,13,3,9,1,13,1,30,1,13,2,33,70,5,532,28,71,30,1,6,1,30,1,6,2,28,1,30,1,6,1,30,1,28,1,13,1,28,3,30,2,28,3,6,2,28,1,6,1,28,16,30,2,28,49,30,1,28,14,30,1,6,1,28,2,13,1,28,2,30,1,28,1,30,1,13,4,6,1,28,1,13,1,6,1,13,2,28,1,30,1,13,1,30,1,28,7,13,1,6,1,5,161,30,2,13,2,7,2,6,2,7,1,6,1,13,1,6,2,13,1,7,1,13,1,6,1,7,1,13,2,7,1,13,1,7,1,13,3,6,1,13,1,5,1,33,3,5,134,13,1,28,12,29,1,11,1,17,3,10,1,9,2,30,1,29,1,30,1,6,1,7,1,8,1,10,2,16,1,17,1,9,1,28,6,9,1,12,1,8,1,13,1,6,1,30,2,28,26,14,1,17,2,11,1,9,1,8,2,11,1,9,1,8,3,6,1,30,1,29,1,13,1,24,2,10,1,12,2,28,4,}, {9,1,24,1,8,1,28,1,6,1,30,1,29,2,7,1,13,1,24,1,13,1,30,1,6,2,30,1,6,1,13,2,10,1,7,1,28,34,30,1,28,1,29,1,6,1,13,1,8,1,9,1,11,1,9,1,16,2,9,1,6,1,7,1,29,1,30,3,8,1,17,1,9,2,6,2,7,1,13,2,8,1,13,2,7,1,24,1,17,1,24,1,29,1,30,1,6,1,29,1,11,1,17,3,12,2,11,1,17,1,12,1,17,1,11,1,17,2,10,1,17,7,13,1,28,1,30,1,28,22,6,1,9,1,24,2,13,1,15,1,17,1,15,1,13,3,7,1,13,1,7,1,8,1,12,1,17,4,11,2,9,1,8,3,6,1,13,1,9,2,24,1,15,1,12,1,7,1,30,2,28,3,30,1,28,8,13,1,17,4,16,2,9,1,10,1,9,1,11,1,16,1,9,1,16,1,11,2,16,1,11,1,9,1,11,2,16,1,9,1,17,1,11,4,16,1,11,1,16,1,11,2,16,2,11,2,16,1,11,1,10,1,17,1,16,2,11,1,16,1,9,1,11,2,9,1,16,1,9,3,11,1,9,2,11,2,9,1,11,1,9,1,10,1,11,5,9,1,16,1,9,2,11,2,9,1,16,1,11,2,16,2,11,5,16,1,11,6,9,3,10,1,9,3,10,1,8,1,9,3,11,1,9,1,10,1,13,1,9,1,13,1,10,1,8,1,9,1,8,1,13,1,9,1,10,1,9,1,8,1,13,4,8,1,13,2,8,1,13,2,8,1,9,2,8,2,13,1,8,1,9,1,13,1,9,2,11,1,9,2,11,1,13,1,9,2,7,1,13,1,9,1,8,1,9,1,13,1,9,3,8,2,9,1,8,2,9,3,13,2,8,1,13,1,9,1,13,1,8,1,13,2,6,1,9,2,13,3,9,3,13,1,9,1,13,1,9,1,13,2,9,3,10,1,13,3,9,1,13,1,8,1,13,3,8,2,13,3,8,1,9,1,13,1,9,1,13,2,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,13,4,8,1,13,2,6,1,13,6,6,1,13,1,8,1,13,1,9,1,13,1,9,1,13,9,8,1,9,1,13,1,9,1,13,2,9,1,13,2,8,1,9,2,13,2,9,2,11,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,2,11,1,9,1,11,1,16,2,17,6,16,2,17,1,16,1,9,1,17,1,9,1,17,1,9,1,10,1,17,1,9,1,8,3,9,1,10,1,16,1,9,2,24,1,9,1,8,1,9,1,10,1,17,1,9,1,24,1,13,2,8,2,13,1,24,1,6,2,13,2,6,1,8,1,13,2,8,1,13,1,7,1,29,1,8,1,7,1,13,3,6,2,7,1,6,2,13,1,6,1,30,1,7,1,8,1,6,4,30,1,8,1,30,1,6,2,13,1,7,1,29,1,6,1,30,1,29,1,6,3,13,1,29,1,8,1,29,2,6,3,30,2,6,2,30,1,6,1,28,1,29,1,28,1,30,1,6,2,29,1,6,1,29,2,28,2,29,1,6,1,28,1,30,1,28,2,30,1,28,1,6,2,28,1,30,1,28,1,29,2,6,2,28,1,29,2,30,2,7,1,29,1,30,1,6,1,29,1,7,1,28,1,30,1,28,1,29,1,30,1,29,1,28,5,30,1,29,1,6,1,28,1,30,1,6,1,30,2,29,1,28,2,29,1,28,1,30,1,28,5,29,1,28,2,30,1,28,3,29,1,30,1,28,3,29,1,28,1,29,1,28,1,13,1,6,1,29,1,7,1,29,1,6,1,13,1,24,1,7,1,13,1,7,1,13,1,24,1,10,1,7,1,8,1,24,2,7,1,13,1,9,1,7,1,6,1,10,1,8,2,24,1,8,2,24,2,8,1,12,1,24,1,8,1,24,1,8,1,24,2,9,1,13,1,8,4,13,1,6,1,13,1,7,2,13,1,6,1,13,1,24,1,6,1,7,1,8,1,13,2,6,2,24,1,25,1,29,1,30,2,28,6,6,1,28,2,30,1,28,2,29,1,28,1,30,1,28,4,6,1,30,1,29,1,30,1,28,1,29,3,30,1,6,1,28,1,30,1,28,2,30,1,29,2,28,2,7,1,28,3,30,1,28,1,30,1,28,30,7,1,29,1,28,8,30,1,28,7,6,1,28,2,13,1,28,1,30,1,28,6,30,1,28,4,30,1,28,4,30,1,7,1,28,16,6,1,28,1,6,1,30,1,28,2,6,1,28,1,6,1,30,1,29,1,30,2,6,1,29,1,6,1,29,1,6,1,30,1,13,1,29,1,30,1,13,1,9,3,11,1,9,2,11,1,9,4,8,1,9,3,8,1,9,1,8,1,9,4,10,1,9,1,8,1,9,3,13,1,9,1,13,1,9,1,13,2,8,1,13,1,8,3,9,1,8,2,11,1,16,1,17,4,16,1,17,1,11,1,17,1,16,1,17,1,9,1,17,1,9,1,17,1,16,1,17,1,10,1,9,1,17,1,16,1,17,2,11,1,16,1,11,2,16,1,9,2,10,1,9,2,8,1,9,3,8,1,11,2,9,1,10,1,11,2,9,1,17,1,16,2,17,1,11,1,16,2,9,5,11,1,16,1,11,1,9,1,11,1,9,1,16,1,8,1,11,3,9,3,11,1,9,1,11,2,12,1,9,5,10,1,9,1,10,1,9,1,11,3,16,2,8,1,16,1,9,4,17,1,8,1,11,1,16,1,11,1,16,1,9,1,17,1,11,1,16,1,17,1,8,1,9,1,8,2,16,1,9,4,13,1,9,1,8,1,9,2,17,1,9,4,11,3,17,1,9,1,11,1,9,2,17,2,16,1,9,3,13,3,30,1,6,2,7,1,13,4,7,1,6,1,13,1,6,1,13,1,8,1,13,1,9,3,13,1,9,2,13,1,9,1,11,1,9,2,11,2,9,2,11,1,9,1,11,1,9,1,11,1,10,1,16,1,11,1,9,2,11,1,9,2,11,2,9,1,16,2,11,1,9,1,11,1,16,1,11,3,9,2,11,1,9,3,11,6,9,1,11,1,16,1,11,4,16,1,11,2,16,1,9,1,11,1,9,2,13,2,6,1,13,1,6,1,13,1,9,1,13,2,6,1,13,2,30,1,13,3,6,1,30,1,13,2,28,1,6,1,13,2,33,71,5,530,28,77,30,1,6,1,30,3,6,2,28,2,6,1,30,1,6,2,13,1,6,2,13,6,6,1,30,1,28,2,30,1,28,11,30,1,28,48,30,1,28,9,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,13,6,30,1,6,1,13,1,6,1,30,1,28,1,30,1,6,2,28,6,30,1,28,3,5,159,28,1,13,2,7,2,13,1,6,1,13,2,6,1,7,1,6,1,13,4,6,1,13,1,7,1,13,4,28,1,6,1,33,5,5,135,6,1,28,11,30,1,6,1,16,1,17,2,16,2,9,2,13,1,28,1,6,1,7,1,29,1,8,1,24,1,13,1,11,1,17,1,8,1,28,4,30,1,28,1,13,1,17,1,9,1,24,1,30,1,29,1,30,2,28,24,6,1,17,3,11,1,9,1,8,2,9,1,10,1,8,1,24,2,6,3,13,2,10,1,12,2,8,1,28,4,}, {9,1,10,1,8,1,28,1,6,2,30,1,7,1,6,1,30,1,9,2,8,1,6,3,29,1,8,1,13,1,10,1,8,1,28,37,30,1,13,1,8,1,9,1,8,1,9,1,12,1,10,1,8,1,13,2,30,1,7,1,30,1,28,1,24,1,12,1,17,2,13,3,8,2,24,1,8,2,13,1,9,1,12,1,13,1,28,1,6,1,28,1,29,1,24,1,17,2,11,1,12,1,9,1,12,1,16,1,17,1,10,1,12,1,17,9,10,1,8,1,28,2,30,1,28,18,30,1,28,1,30,1,6,1,10,1,17,1,9,1,24,1,12,1,14,1,15,1,24,1,7,1,13,1,6,1,7,1,29,1,13,1,17,4,12,1,16,1,12,1,15,1,8,1,24,1,8,1,12,1,24,1,9,1,24,1,11,1,10,1,12,1,13,1,28,1,30,2,28,7,30,1,28,3,6,1,17,5,16,1,11,2,16,1,11,2,9,1,11,1,9,1,11,3,16,1,11,1,9,1,16,1,9,1,11,2,9,1,11,1,16,2,11,2,9,1,16,2,11,1,16,1,10,1,16,1,11,1,16,1,9,1,11,3,16,1,9,4,10,1,9,1,11,1,10,1,9,4,11,1,9,1,11,1,16,1,11,1,16,1,11,4,9,1,11,1,9,2,16,1,9,2,10,1,16,2,11,1,9,1,16,1,11,2,9,2,16,1,9,1,11,1,9,2,11,2,16,1,9,2,11,1,9,1,10,1,9,1,10,2,13,1,11,1,9,5,11,1,13,1,9,2,13,1,9,2,13,1,9,4,13,1,9,1,13,3,8,1,13,2,9,2,8,1,13,1,9,1,13,2,9,1,8,1,9,1,13,1,9,4,13,3,9,2,8,1,9,4,10,1,13,1,9,2,13,1,9,1,13,5,9,1,7,1,13,2,9,1,8,1,13,3,6,1,13,2,9,3,8,1,9,2,10,1,9,1,13,1,9,2,8,1,9,1,8,1,9,1,13,2,9,1,13,1,9,1,13,7,9,1,6,1,13,2,8,1,9,2,13,2,9,1,8,1,9,1,13,2,9,1,8,1,13,1,9,1,13,1,9,3,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,3,8,1,13,1,8,2,13,1,9,1,8,1,11,1,13,13,9,2,13,3,8,1,13,1,9,1,13,1,11,1,13,1,9,1,13,1,9,2,13,1,11,1,9,1,8,1,9,1,13,1,9,1,13,2,9,4,13,1,11,3,16,2,17,7,16,1,17,1,16,1,17,1,8,1,9,1,16,1,8,1,12,1,24,1,9,2,15,1,11,1,17,2,12,1,17,1,10,1,17,1,9,1,8,2,24,1,11,1,24,1,8,2,13,1,9,1,13,2,8,1,24,2,8,1,24,1,7,1,13,1,8,1,29,1,6,1,8,1,6,1,8,1,6,1,8,1,7,1,13,1,6,1,13,2,7,1,6,2,13,3,7,2,8,1,29,1,7,1,6,3,29,1,24,1,28,1,13,1,28,1,6,2,29,1,7,1,28,1,30,1,13,1,29,2,6,1,13,1,28,1,6,1,13,1,30,1,8,1,30,2,8,1,28,1,7,1,28,1,29,1,6,1,30,1,29,1,6,1,29,1,28,1,6,1,7,1,6,1,28,1,6,1,28,1,6,2,28,1,6,1,28,1,7,1,29,1,28,1,13,1,29,1,28,1,29,1,28,1,7,1,28,1,30,2,6,2,29,1,30,2,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,6,1,30,1,28,1,6,1,30,2,29,1,30,1,29,3,30,2,28,2,6,1,28,2,30,1,29,1,6,1,29,1,28,2,29,1,28,1,6,1,29,1,28,1,6,1,28,1,29,1,6,4,29,2,6,1,8,1,13,2,6,1,8,1,7,1,13,1,24,1,8,1,24,1,8,3,24,1,6,1,13,1,8,2,24,2,13,2,7,1,8,1,9,1,8,1,24,1,8,2,10,1,24,1,8,2,15,1,6,1,10,1,13,1,24,1,8,1,13,2,8,1,13,2,24,1,8,1,13,1,24,1,13,2,24,1,7,1,6,2,8,1,6,1,25,1,24,1,6,1,28,1,29,1,6,1,28,6,29,1,28,4,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,6,1,28,1,30,1,28,1,6,1,28,1,29,1,30,2,29,1,28,3,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,7,30,1,28,16,6,1,7,1,29,1,28,20,29,1,28,1,30,1,6,1,28,10,6,1,28,4,30,1,28,1,29,1,28,3,30,1,28,11,30,1,6,1,30,1,6,1,28,1,29,1,7,1,28,1,30,1,7,1,28,1,30,3,28,1,30,1,29,2,28,1,6,1,7,2,29,1,7,1,6,1,7,1,9,2,16,1,9,1,8,1,9,1,13,1,9,1,8,1,9,2,13,1,8,1,9,1,8,1,13,1,9,5,13,1,8,1,13,2,11,1,13,5,9,2,13,2,9,1,16,1,11,1,17,1,11,2,16,1,12,1,17,1,11,1,16,2,17,2,16,1,17,1,11,1,16,1,17,1,9,1,11,3,9,1,11,1,16,2,9,1,16,1,11,2,16,2,11,2,16,2,11,2,16,2,9,3,16,1,11,1,16,3,11,2,16,3,9,1,11,1,16,2,11,1,9,1,16,1,8,1,11,1,9,1,16,1,9,1,11,5,17,1,9,1,8,1,9,1,11,1,17,1,16,1,11,1,13,1,9,3,16,1,9,2,11,1,10,1,11,1,9,1,11,1,30,1,9,5,16,1,9,1,11,2,9,1,16,1,17,1,10,1,11,1,17,1,11,1,17,3,16,1,17,2,16,1,9,1,16,1,9,1,8,1,16,1,11,1,8,1,16,1,9,1,16,1,17,1,11,1,16,1,9,2,16,1,9,1,11,1,10,1,9,2,11,2,9,1,8,1,9,1,11,1,13,1,9,1,16,1,9,3,29,1,13,2,7,1,13,2,6,1,13,3,6,1,13,2,6,1,13,3,6,1,8,1,9,2,13,2,9,2,8,2,11,1,9,1,13,1,9,1,8,1,11,1,9,1,11,1,9,2,13,1,11,2,9,1,11,2,9,1,16,2,17,1,16,1,11,1,16,1,11,1,9,1,11,2,16,1,11,1,16,1,9,1,13,1,9,1,11,2,9,1,11,1,9,1,11,2,16,1,11,2,10,1,11,1,9,1,11,1,16,2,11,1,16,3,9,1,8,1,9,3,13,1,9,1,13,2,9,1,13,1,9,1,7,1,13,1,28,1,13,1,7,1,6,2,7,1,6,1,30,1,13,2,28,1,6,1,13,1,33,73,5,528,28,80,30,2,6,1,30,1,6,1,30,3,13,1,6,1,13,1,9,1,13,3,6,2,13,1,6,2,13,2,6,2,30,1,6,2,30,1,13,2,6,1,13,2,30,1,28,2,6,1,28,52,30,1,28,5,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,4,13,2,6,2,13,1,6,2,13,1,30,2,6,1,13,1,6,1,30,1,28,9,5,159,28,1,13,1,11,1,13,1,6,1,13,2,7,1,13,2,7,2,6,1,13,1,6,1,13,1,7,2,13,1,6,1,13,2,30,1,33,6,5,135,6,1,28,10,30,2,6,1,14,1,17,3,9,2,15,1,6,5,8,1,24,1,9,1,8,1,12,1,9,1,28,6,24,1,17,1,15,1,24,1,28,1,29,1,30,2,28,24,29,1,14,1,17,2,11,1,9,2,10,1,9,2,8,1,24,1,8,1,6,2,28,1,29,1,8,1,9,2,17,1,9,1,28,4,}, {15,1,14,1,6,2,29,1,28,1,6,2,13,1,8,1,24,1,8,1,13,1,6,3,8,1,6,1,8,1,9,1,6,1,30,1,28,34,30,1,29,1,30,1,13,1,8,1,9,1,10,1,9,1,10,1,16,1,9,1,7,1,6,2,7,1,30,2,13,1,10,1,17,1,9,2,13,1,6,1,9,1,8,1,24,1,13,1,29,1,13,1,14,1,15,1,24,1,6,2,28,1,7,1,8,1,17,2,9,2,17,1,12,1,10,2,17,12,13,1,30,1,28,23,6,1,9,2,17,1,8,1,12,1,17,2,13,4,7,2,8,1,24,1,17,4,9,2,8,2,24,1,9,1,10,1,12,1,9,1,12,1,9,1,17,2,13,1,30,1,6,1,28,1,30,1,28,10,13,1,12,1,17,2,16,3,11,3,9,1,11,2,16,1,11,1,16,1,11,1,16,6,9,1,16,1,11,2,9,1,16,1,11,1,16,1,11,1,17,1,9,1,11,3,16,1,10,1,16,2,9,1,11,1,9,2,11,2,8,1,9,2,11,1,16,1,11,1,9,1,16,1,9,1,11,3,16,1,11,2,10,1,11,2,9,1,11,5,9,1,11,1,9,1,10,1,9,1,11,4,16,1,9,1,11,1,9,2,11,3,9,1,11,2,16,1,11,1,16,1,11,1,8,1,16,1,9,1,11,1,10,2,9,1,11,1,9,1,16,1,9,4,8,1,9,1,8,1,9,2,8,2,13,2,8,1,13,1,8,1,13,2,9,2,13,4,8,2,9,1,13,1,8,4,13,1,8,1,9,3,13,1,9,1,8,1,9,2,13,3,8,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,13,2,8,1,6,1,9,1,13,3,8,1,13,1,9,2,13,1,8,1,13,1,8,1,13,1,9,2,13,1,8,2,9,2,6,1,8,1,9,1,13,1,9,7,13,1,8,1,9,1,6,1,9,1,11,1,13,1,9,1,13,1,9,2,13,1,9,1,8,2,9,1,13,1,9,2,13,1,9,2,13,2,8,1,13,5,9,1,13,1,8,2,13,1,9,1,8,1,13,5,8,1,9,1,13,3,9,2,13,3,9,1,13,2,8,1,13,5,8,1,13,8,9,7,13,1,9,2,13,1,9,1,13,1,9,5,11,2,9,1,11,1,16,1,11,2,16,1,17,1,11,1,17,9,11,1,12,1,16,1,8,1,12,1,9,3,17,2,11,2,9,1,16,1,24,1,9,1,17,1,9,1,8,1,9,1,24,1,9,1,13,1,24,1,13,1,8,1,24,1,13,2,8,3,24,2,13,1,7,1,8,1,9,1,8,2,24,1,8,1,24,1,13,1,6,1,8,1,7,1,6,1,8,2,6,1,8,1,30,1,8,1,29,1,7,1,13,2,8,1,7,1,13,1,8,1,29,1,13,2,6,1,29,2,7,1,6,2,13,1,30,1,6,1,8,1,28,1,29,4,13,1,30,1,6,1,7,1,6,4,7,1,30,1,6,1,28,1,24,1,30,1,29,1,30,1,6,1,29,1,6,1,28,2,7,1,28,1,30,1,6,1,28,1,30,1,29,1,13,1,30,1,6,1,28,1,6,1,7,2,30,1,6,1,28,1,30,2,6,1,29,1,30,1,6,1,30,1,29,1,30,1,28,2,30,2,29,1,28,2,6,1,7,1,29,2,30,1,29,1,30,1,28,1,29,2,30,1,28,1,30,2,28,1,6,1,30,1,28,2,29,1,28,1,30,1,29,2,30,1,6,1,30,1,28,1,7,1,30,2,13,1,28,3,29,1,13,1,29,1,30,1,6,2,13,1,8,1,6,1,8,1,13,2,24,1,8,2,24,1,13,1,24,2,10,1,13,1,7,1,9,1,8,1,24,1,13,2,24,3,8,1,24,1,8,1,24,1,13,1,9,1,13,1,12,1,7,1,24,1,13,1,24,1,8,1,7,1,13,4,24,1,6,1,13,1,8,2,7,1,24,1,7,1,24,1,7,1,13,1,8,1,6,1,13,1,7,3,6,1,28,1,30,1,28,1,30,1,29,1,28,1,25,1,7,1,28,2,29,1,28,4,30,2,28,2,30,1,6,1,30,2,6,1,29,4,6,2,29,3,30,1,7,1,28,2,30,1,6,2,29,2,28,4,30,1,28,8,30,1,28,12,30,1,28,2,29,1,30,3,28,38,30,1,29,1,30,1,6,1,28,17,30,1,28,2,29,1,30,2,28,1,30,1,28,1,30,1,29,1,28,1,6,1,30,2,29,3,30,1,7,1,6,1,7,1,6,2,30,1,13,1,11,1,12,1,16,1,17,3,11,1,16,3,11,1,9,1,11,1,9,2,16,2,9,1,16,1,9,1,11,1,9,2,16,1,11,1,9,1,16,2,11,1,9,1,11,3,9,2,8,1,9,3,10,1,11,1,9,2,16,2,9,1,11,2,17,2,16,3,11,2,9,4,16,1,11,1,9,1,11,1,13,2,9,1,16,1,9,2,16,1,9,2,16,1,11,2,17,1,9,1,16,2,9,3,11,1,9,5,16,1,11,1,9,1,11,4,9,3,11,1,10,1,9,1,11,1,16,2,11,3,9,1,11,1,16,1,9,1,16,2,9,3,11,1,10,1,9,3,11,1,9,2,17,1,16,1,17,1,13,1,9,2,13,2,9,2,8,2,9,1,11,1,9,2,16,1,10,2,11,1,17,1,10,1,16,2,9,1,17,1,16,2,11,1,16,1,10,1,16,1,9,1,16,1,11,2,17,1,9,1,11,1,13,1,9,1,11,1,8,1,11,1,16,1,11,2,10,1,9,1,17,1,13,1,9,1,13,2,16,1,13,1,8,1,9,2,6,1,13,1,9,1,6,1,13,1,6,1,8,1,13,2,7,1,13,2,6,1,13,7,8,1,13,1,9,3,13,2,6,1,13,1,8,2,9,1,13,1,9,2,11,1,10,3,9,1,11,2,9,3,11,2,9,1,11,1,16,1,11,1,9,3,11,2,9,1,16,1,11,1,8,1,9,2,11,1,9,2,11,2,16,1,11,1,16,2,11,1,9,2,16,1,9,1,16,1,11,2,16,1,11,2,9,1,13,1,9,1,13,3,9,1,13,1,6,1,7,1,6,1,13,1,30,1,13,1,30,1,6,1,30,1,6,1,13,2,6,2,13,1,28,1,13,2,33,73,5,527,30,1,28,83,30,1,28,5,6,1,13,6,6,1,13,3,6,2,30,1,13,1,6,2,9,2,16,1,13,1,9,2,13,2,30,1,28,1,30,1,28,53,30,2,28,8,30,1,28,1,30,1,6,1,28,2,6,1,30,1,28,2,30,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,1,30,1,6,2,13,1,6,1,28,10,5,157,28,1,13,1,16,1,8,1,6,1,13,2,6,3,13,3,7,1,13,2,6,1,13,1,6,1,13,3,5,1,33,5,5,134,33,1,28,12,30,1,6,1,14,1,17,2,10,1,9,1,10,1,24,1,6,2,30,2,13,1,8,1,24,1,9,1,24,1,11,1,9,1,28,6,13,1,14,1,17,1,6,2,30,1,29,2,28,24,6,1,17,3,11,1,8,3,9,1,24,1,9,2,24,1,7,1,28,1,29,1,6,1,8,1,9,1,11,1,17,1,11,1,28,4,}, {12,1,11,1,13,1,29,2,30,1,29,1,30,1,28,1,13,1,10,1,8,2,6,2,29,1,13,1,9,3,8,1,29,1,28,35,29,1,30,1,13,1,24,1,12,1,9,2,12,1,17,1,8,1,13,1,6,2,7,1,30,1,6,1,9,2,17,1,12,1,13,2,8,1,13,1,24,2,8,1,7,1,6,1,12,1,15,1,9,1,6,3,30,1,10,1,17,2,16,1,8,1,9,1,10,1,16,2,17,12,13,1,28,19,30,1,28,4,29,1,9,1,10,1,24,1,10,1,17,1,12,1,15,1,6,1,13,1,29,1,6,1,29,1,28,1,13,1,9,1,12,1,17,1,9,1,17,1,11,1,13,1,24,1,11,1,9,2,12,1,24,1,9,1,17,4,7,1,6,1,28,13,13,1,17,1,16,1,17,1,16,4,11,4,16,1,11,4,16,2,11,5,16,1,11,1,16,2,11,2,16,2,11,2,16,1,11,2,9,1,11,4,9,1,11,1,10,1,9,2,11,1,9,1,11,2,9,1,11,3,9,1,16,1,10,1,9,1,16,1,11,2,16,2,11,2,17,1,11,1,16,1,9,1,11,2,9,2,11,1,13,1,9,4,11,2,9,3,11,2,9,2,11,1,9,1,16,1,11,2,10,1,11,4,9,1,11,2,9,1,11,1,8,1,11,1,9,4,8,2,9,1,8,2,9,1,11,1,9,2,13,1,9,3,13,1,9,1,13,1,9,1,8,3,13,1,9,1,13,2,9,1,8,1,13,3,11,1,8,2,13,1,8,3,13,1,8,1,13,2,9,1,8,1,13,2,8,1,13,1,9,1,8,1,13,4,9,1,13,1,9,2,13,1,9,1,13,2,9,1,13,1,7,1,13,1,6,1,9,1,13,1,9,2,13,3,9,3,11,1,13,3,9,1,13,2,9,1,13,2,8,1,13,1,8,1,13,2,9,2,13,2,8,1,13,1,9,2,8,1,13,1,9,1,8,1,13,1,11,1,13,1,9,2,13,1,9,2,8,1,9,3,13,3,8,2,9,1,6,1,9,1,7,1,8,1,13,2,9,1,13,1,9,1,8,1,9,2,8,3,13,1,9,1,6,1,13,5,8,3,6,1,13,3,9,1,13,1,8,1,13,2,9,6,13,1,9,3,13,1,11,1,9,2,13,1,9,1,11,3,9,1,11,1,9,1,11,2,16,3,17,1,11,1,17,8,12,1,11,2,9,1,17,1,10,1,16,2,9,1,17,1,8,1,17,1,9,2,24,1,9,2,12,1,8,2,24,2,8,1,6,1,9,1,8,1,9,1,8,5,24,1,8,1,24,1,6,1,24,1,9,1,13,1,8,3,13,1,6,1,8,1,30,1,8,1,7,1,6,3,8,1,6,1,13,2,6,2,24,1,7,1,13,1,8,1,7,1,6,1,13,1,8,1,29,2,7,1,6,3,29,1,7,4,6,2,13,1,6,1,29,1,6,3,7,1,29,1,6,1,30,1,7,2,6,2,7,1,29,3,30,1,6,2,29,1,6,1,30,1,8,1,6,2,29,1,6,2,7,1,6,1,28,1,29,1,30,1,28,1,6,3,13,1,30,1,28,1,6,2,28,1,6,1,29,1,30,1,29,1,30,2,28,1,30,1,29,1,30,1,6,1,28,1,30,1,7,1,28,1,30,2,29,1,30,1,28,1,29,1,28,1,30,2,6,1,30,1,29,1,30,1,28,2,7,1,28,1,29,1,6,1,29,1,28,1,29,1,28,1,30,2,7,2,28,1,7,1,29,1,13,1,29,1,7,1,6,1,29,1,6,1,13,1,6,2,24,1,7,1,24,1,13,1,8,2,13,1,10,1,13,1,24,2,8,1,24,1,8,1,13,1,8,1,12,1,8,1,24,1,6,1,24,1,8,1,24,3,9,3,24,1,9,1,13,1,24,1,8,4,6,1,8,2,6,2,13,1,24,1,30,1,8,3,13,2,7,1,8,2,24,1,7,1,13,1,6,1,29,1,30,2,6,1,28,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,30,3,6,1,29,1,6,1,30,1,29,1,6,2,30,1,28,1,7,1,6,1,28,1,29,1,28,2,30,2,6,2,29,1,6,1,30,2,28,1,29,1,28,23,30,1,29,1,28,20,30,1,28,19,30,1,28,1,30,1,7,1,30,2,28,3,30,1,28,14,30,1,28,1,6,1,28,3,6,1,28,1,29,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,7,1,29,1,7,1,6,1,13,2,12,3,16,1,17,2,16,1,9,3,11,1,13,1,9,4,16,1,11,1,16,1,17,1,16,1,9,5,16,1,9,1,11,1,8,1,9,1,10,1,11,3,16,1,8,1,16,1,11,1,9,1,16,1,10,1,11,2,16,1,11,1,9,3,11,4,9,1,8,1,11,1,9,4,11,1,9,1,11,1,13,1,9,2,11,2,8,1,16,1,9,1,10,1,11,1,9,3,11,1,9,1,11,1,9,1,11,2,16,2,11,1,16,1,11,1,9,1,16,1,9,1,11,1,16,1,9,2,11,1,9,1,8,1,9,2,11,2,8,1,11,1,16,1,10,1,11,2,16,1,17,1,11,1,16,2,11,1,16,1,11,1,9,2,11,2,8,1,11,1,9,2,11,1,13,1,9,2,16,1,13,1,11,1,9,2,11,2,16,1,9,1,11,1,12,1,8,1,17,1,11,1,10,1,16,4,10,1,11,1,9,1,10,1,9,1,11,1,8,1,9,2,11,2,9,1,11,2,17,1,16,4,11,1,16,4,11,1,9,2,8,1,11,2,9,1,13,1,8,1,9,1,10,1,9,2,8,1,30,1,13,1,6,1,13,1,8,1,13,1,7,1,13,7,8,1,13,3,8,2,13,1,9,1,8,1,13,5,9,1,13,2,11,2,13,1,11,1,10,2,16,1,9,1,16,1,9,2,16,1,11,1,10,1,11,1,9,3,11,1,9,9,11,1,16,1,11,1,16,1,11,2,9,1,16,2,11,3,9,1,16,1,9,1,16,4,9,2,13,2,8,1,9,1,13,2,9,1,13,3,8,1,6,1,13,1,6,1,8,1,9,1,6,1,13,2,6,2,13,2,6,1,13,1,33,75,5,526,28,62,30,1,28,17,30,1,6,2,28,3,6,1,28,5,13,3,6,2,30,1,6,2,13,1,6,4,13,3,28,1,30,1,6,1,13,1,6,2,13,1,6,2,13,2,28,1,6,1,30,2,28,20,30,1,28,19,30,1,28,6,6,2,28,12,30,2,13,1,30,1,28,3,30,1,13,4,6,1,13,2,6,1,13,1,6,1,13,2,30,3,28,10,30,1,5,154,6,1,28,1,6,1,17,1,11,1,13,1,8,1,13,1,7,1,6,1,13,1,29,1,13,1,6,1,13,2,6,4,13,1,33,6,5,135,33,1,28,10,30,2,29,1,13,1,10,1,14,1,17,1,12,1,9,1,8,2,7,2,30,1,6,1,8,1,9,4,11,1,9,1,28,6,10,1,17,1,9,1,13,1,28,28,6,1,14,1,17,2,9,1,7,1,13,2,9,1,24,2,9,1,8,1,30,2,28,2,8,1,9,1,10,1,12,1,9,1,28,3,30,1,}, {17,1,10,1,13,1,30,4,28,1,6,1,13,1,9,1,24,1,8,1,29,1,13,2,6,1,13,1,24,1,14,1,6,1,28,37,13,1,8,1,12,1,8,1,10,1,12,1,17,2,9,1,13,2,6,1,30,1,6,1,28,1,6,1,17,1,14,1,24,1,9,1,8,1,13,1,8,1,10,1,13,1,9,1,6,2,9,2,13,1,29,2,30,1,29,1,9,1,12,2,16,1,8,1,16,1,17,1,16,1,12,1,17,12,29,1,6,1,28,23,6,1,24,2,9,2,11,1,17,2,8,1,13,1,6,1,28,1,29,1,7,1,6,1,9,1,17,2,12,1,17,1,9,1,8,1,24,1,8,1,13,1,9,4,10,1,17,1,12,1,17,1,13,1,28,1,30,4,28,9,30,1,11,1,16,1,17,1,16,4,11,2,16,1,11,2,9,1,16,3,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,10,1,11,1,16,2,11,7,16,1,9,1,11,1,16,1,9,1,11,1,9,2,11,1,16,1,11,6,9,2,10,1,16,1,11,2,16,1,11,2,16,1,11,2,9,1,11,1,9,1,11,1,9,1,10,1,9,3,8,2,9,1,11,1,9,2,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,1,11,3,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,5,8,1,9,1,8,1,13,1,9,1,10,1,13,4,9,1,13,1,9,1,13,2,8,1,9,1,13,2,9,1,13,2,9,4,8,1,9,2,13,2,8,1,13,7,6,1,13,2,9,3,8,1,13,10,7,1,8,2,6,1,13,1,9,2,13,2,9,2,13,1,9,1,13,1,8,2,13,1,9,1,8,1,13,2,9,1,13,2,7,1,13,1,8,1,13,1,9,2,8,2,9,1,13,1,9,2,13,1,8,1,13,1,9,2,13,2,9,1,13,2,11,1,13,2,16,1,8,1,9,1,8,2,9,1,13,2,9,1,13,1,9,1,8,1,13,1,9,1,8,1,13,1,9,3,8,1,13,1,9,1,11,1,8,1,13,4,6,1,13,2,6,1,9,1,6,2,13,2,8,1,9,1,13,2,9,4,10,1,9,3,11,1,9,1,13,1,11,1,13,1,11,1,9,2,8,1,9,2,11,1,9,1,11,1,9,4,11,1,9,2,11,3,17,1,16,1,17,1,16,1,17,1,16,1,17,5,11,1,17,1,16,2,12,1,16,1,10,1,9,1,17,1,11,1,17,1,8,1,16,1,9,1,17,1,16,1,12,1,13,1,8,1,9,2,13,1,7,1,9,2,8,2,24,1,10,1,24,1,8,3,24,1,13,1,8,1,13,3,8,2,7,1,13,1,7,1,8,1,13,3,8,1,13,1,24,1,7,1,6,2,7,1,8,1,13,1,7,1,13,1,6,1,13,1,8,1,30,1,13,1,29,1,8,1,13,1,29,1,6,1,13,1,6,1,7,1,13,1,7,1,6,1,7,1,6,1,7,1,13,1,6,2,7,1,29,1,6,3,8,1,29,1,7,1,29,1,6,1,7,1,28,1,6,1,13,1,28,1,13,1,29,1,6,1,29,1,13,1,7,2,29,1,13,3,29,1,28,1,6,2,29,1,13,1,28,1,30,1,29,1,30,1,29,1,7,1,30,1,29,4,6,1,28,1,7,1,30,1,6,1,30,1,6,1,28,1,13,1,29,1,6,1,30,1,6,1,30,1,28,1,6,1,7,2,6,1,28,4,30,4,29,1,28,1,7,1,29,1,7,1,29,1,6,1,30,1,28,1,13,1,6,2,8,1,30,1,7,1,13,1,8,2,13,3,7,1,24,1,7,1,8,1,7,1,13,2,24,1,8,1,13,1,9,1,8,3,10,1,24,3,8,1,13,1,8,1,24,2,8,2,10,1,24,1,13,1,24,1,8,1,24,3,13,1,8,2,13,1,8,1,7,1,8,2,7,1,8,1,7,1,13,1,7,1,13,1,24,1,13,1,8,2,13,1,8,2,13,1,6,1,7,2,6,1,7,1,29,1,6,1,25,1,7,1,29,1,30,4,28,1,30,3,28,3,29,2,30,1,6,1,28,1,6,2,30,1,29,2,30,1,6,1,7,1,30,3,29,1,6,1,29,1,30,1,29,1,6,1,29,1,28,1,30,2,28,1,30,1,6,1,28,1,30,1,29,1,28,3,29,1,30,2,28,3,30,1,28,12,30,1,28,43,6,1,29,1,28,1,30,1,28,19,30,1,28,3,6,2,30,1,29,1,28,2,30,1,28,1,30,1,29,1,28,1,6,1,28,1,13,1,6,1,28,1,6,1,7,1,30,1,13,1,29,1,8,2,9,1,17,3,16,1,17,1,9,2,13,1,9,1,16,1,9,2,13,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,5,16,1,9,2,11,2,9,1,11,4,16,1,9,1,16,1,9,1,11,2,9,2,11,2,9,8,11,1,16,1,9,1,16,1,9,1,16,1,9,2,11,1,9,2,11,1,8,1,9,1,8,1,10,1,9,3,11,1,16,1,10,1,8,1,11,4,9,1,16,1,11,1,16,3,17,1,16,4,10,1,11,1,9,1,8,1,11,2,9,1,11,1,9,1,11,2,9,2,11,1,17,1,11,3,9,2,16,1,9,1,11,2,16,3,9,1,11,1,9,1,10,1,11,1,9,5,11,1,16,1,11,3,17,1,11,1,16,1,13,1,11,1,16,1,9,1,16,1,9,1,11,1,16,1,9,1,10,1,16,1,11,2,9,2,11,1,16,1,11,3,16,3,11,3,9,1,17,1,13,1,9,2,8,1,13,1,11,5,9,4,8,1,13,2,8,1,13,4,7,1,13,1,6,1,30,1,6,1,13,1,9,1,13,1,8,2,13,1,8,1,9,1,8,1,9,1,8,1,9,2,13,3,8,1,9,1,13,2,8,2,13,1,9,2,11,1,9,2,11,1,9,2,11,1,10,1,9,1,11,1,16,1,9,2,11,2,9,1,11,1,13,1,8,1,9,2,11,4,16,2,11,2,9,2,16,2,9,1,11,2,13,1,11,1,9,1,11,2,9,1,16,1,11,1,13,3,8,2,13,1,6,1,13,4,7,1,6,1,13,1,9,1,13,2,30,2,6,1,28,1,13,1,6,1,13,1,33,77,5,524,33,1,28,84,30,1,28,7,30,1,28,3,6,1,28,2,30,1,6,2,30,1,6,1,28,4,30,1,13,1,6,1,9,1,6,1,9,1,8,1,9,1,6,6,28,43,6,1,28,3,30,1,28,3,30,3,28,1,30,1,28,7,6,1,28,1,13,2,28,5,6,1,13,2,28,1,6,3,30,1,6,2,30,1,28,12,13,1,5,155,28,1,6,1,9,1,11,1,13,1,6,1,13,4,7,1,13,5,6,2,9,1,33,6,5,135,6,1,28,7,6,1,29,1,30,1,28,1,30,2,13,1,14,2,17,1,10,1,9,1,8,2,13,1,29,2,13,2,8,2,11,1,12,2,8,1,28,6,9,1,17,1,10,1,13,1,28,1,29,1,28,26,29,1,17,3,11,1,8,2,24,3,8,2,6,1,8,1,6,1,28,1,13,1,8,1,16,1,12,1,17,1,8,1,28,4,}, {10,1,12,1,6,1,29,1,30,1,29,1,6,1,30,1,28,1,6,1,9,3,29,1,7,1,6,1,8,2,24,1,8,2,28,35,29,1,28,1,6,1,24,1,9,2,12,1,9,1,12,1,17,1,13,4,6,1,29,2,8,1,12,1,15,1,9,1,24,1,6,1,13,1,7,1,13,1,9,1,8,1,6,1,13,1,9,1,12,1,13,1,6,1,28,1,29,1,6,1,24,1,11,1,17,1,12,1,10,2,9,1,8,1,11,1,12,1,17,11,13,1,30,1,28,23,30,1,13,1,24,1,8,1,9,1,11,1,14,1,9,1,13,1,6,2,13,1,6,1,29,1,6,1,9,1,17,3,16,2,13,2,8,1,9,1,24,1,9,1,24,1,12,1,9,1,17,3,13,1,28,3,30,1,28,11,11,1,17,1,16,2,17,1,16,2,11,1,16,6,11,2,16,2,11,3,9,1,16,2,11,3,16,1,11,2,16,1,11,1,9,1,11,5,16,1,11,3,16,2,11,1,9,1,10,1,11,1,9,1,16,1,11,1,16,1,11,1,9,1,11,2,9,1,11,1,16,2,11,1,16,1,17,1,9,1,16,1,11,1,9,1,10,1,11,1,10,1,9,1,11,1,9,2,10,1,8,1,9,1,11,5,9,1,16,1,11,1,9,1,11,1,16,1,11,1,16,2,11,3,9,1,10,1,9,1,11,1,9,1,16,1,9,2,16,1,11,2,9,2,11,1,16,1,9,4,8,1,9,1,13,1,8,1,13,1,9,1,13,2,9,1,13,1,9,1,13,1,9,1,10,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,13,2,7,1,9,1,8,1,9,1,13,1,9,1,7,1,13,1,9,1,13,1,8,1,13,1,7,1,9,1,13,1,6,1,9,1,13,4,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,3,9,1,8,1,9,1,13,1,7,1,13,1,9,2,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,8,2,13,2,8,2,9,1,7,1,13,2,8,1,13,1,9,4,11,1,13,1,9,1,13,2,9,1,13,1,9,1,13,5,9,2,13,3,9,1,13,2,9,6,8,1,9,1,13,1,9,1,13,1,9,3,8,1,9,1,13,2,6,1,13,3,8,1,13,1,9,1,13,1,9,1,13,1,9,2,13,1,9,2,13,1,9,3,11,1,10,1,16,1,9,1,16,1,13,1,10,1,16,1,11,1,16,1,9,1,11,2,16,1,9,1,11,1,9,1,13,1,9,2,13,1,9,1,13,1,9,4,10,1,11,1,17,2,11,1,17,2,16,1,17,2,16,2,17,4,16,1,11,1,17,1,11,1,12,1,17,2,11,1,17,1,9,2,12,1,17,1,9,2,10,1,9,1,10,1,13,1,24,1,8,2,9,1,8,1,9,1,8,1,13,1,8,2,10,1,7,1,24,1,6,1,24,1,8,1,9,1,24,1,8,1,24,1,8,2,7,1,8,1,6,1,13,1,9,1,13,1,8,1,24,1,8,3,7,1,8,1,7,1,13,1,8,1,6,1,7,1,8,1,6,2,7,1,6,2,8,1,7,1,29,1,7,1,8,1,7,2,8,2,13,1,8,1,13,1,29,1,7,1,8,1,6,1,13,2,8,1,6,1,13,1,6,1,8,1,6,1,13,1,6,1,30,1,29,1,7,2,6,1,30,1,6,1,13,1,7,1,28,1,13,1,6,2,30,1,6,1,13,1,29,1,6,4,8,1,6,1,7,1,29,1,8,1,6,2,29,1,6,4,7,1,29,1,30,1,6,1,29,1,28,1,6,1,29,1,30,1,6,1,29,2,30,1,28,1,6,2,30,1,6,2,30,1,6,1,30,1,28,1,30,1,6,1,8,1,13,2,6,1,29,1,6,1,30,1,13,1,6,1,13,2,6,1,13,1,8,1,13,2,7,1,24,1,13,2,8,1,13,2,8,1,6,1,13,3,8,1,9,1,13,3,12,1,6,1,10,1,7,1,24,2,8,1,10,1,8,2,24,2,8,1,9,2,24,1,9,1,12,1,13,1,9,1,8,1,24,1,9,1,13,1,24,1,8,1,13,1,8,1,13,1,8,2,13,1,7,2,13,2,8,1,6,1,10,1,8,1,13,1,8,1,24,1,13,1,8,1,13,2,6,3,8,1,28,1,29,1,28,4,29,1,28,2,30,1,27,1,30,1,28,2,27,1,29,1,25,1,6,1,30,1,6,1,26,1,6,1,25,1,28,1,29,1,6,1,29,2,30,1,6,1,29,1,6,4,28,1,6,1,28,1,30,3,28,3,30,1,28,1,30,1,28,4,6,1,28,11,30,1,28,45,6,1,28,2,30,1,28,1,30,1,28,20,30,1,28,3,29,1,28,1,29,1,30,1,28,4,30,2,28,1,6,1,29,1,6,1,29,1,6,1,13,1,7,1,29,1,6,2,11,1,17,2,11,2,10,1,9,1,13,1,16,1,9,1,8,1,9,1,16,1,9,2,13,2,9,1,8,1,9,2,16,1,8,1,13,1,9,2,8,1,16,1,9,1,10,1,9,1,10,1,11,2,9,1,16,1,9,1,11,1,16,1,11,1,9,1,13,1,9,1,16,2,9,2,8,1,11,1,8,1,9,3,11,1,16,1,13,1,9,5,16,1,13,1,9,4,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,9,2,16,1,11,1,9,2,16,1,9,1,17,1,9,1,16,1,17,1,9,2,16,1,9,1,16,1,9,2,10,1,16,2,17,1,9,2,10,1,11,1,9,1,10,1,11,2,17,1,13,1,17,1,11,1,16,2,11,1,16,1,17,1,9,1,11,1,10,1,9,1,11,1,9,4,11,1,9,3,11,1,9,1,11,1,9,1,17,1,16,1,11,1,16,1,11,1,16,1,9,1,17,1,10,1,9,1,11,1,8,1,16,1,9,1,16,1,11,1,9,1,16,1,11,1,9,1,17,1,16,1,9,1,11,1,17,1,9,2,11,1,9,1,13,1,9,6,11,1,9,1,10,2,9,2,10,1,11,1,9,1,30,1,9,1,13,4,6,1,13,1,6,1,13,1,28,1,9,1,13,3,6,1,13,3,7,1,13,7,9,1,13,5,9,2,11,1,9,2,11,1,9,2,8,1,9,1,16,1,11,2,9,2,11,2,9,2,11,1,13,1,9,3,11,1,9,1,16,3,11,1,9,1,16,1,11,2,16,1,11,3,16,1,11,2,9,1,11,1,9,1,11,3,9,1,13,1,8,1,13,1,7,3,8,1,13,2,6,1,13,4,9,1,13,2,6,1,30,1,6,1,28,1,13,1,6,1,13,1,33,78,5,524,33,1,28,68,30,1,28,36,30,3,28,1,13,6,9,1,13,1,28,1,6,1,13,1,28,45,6,1,28,2,30,1,28,2,30,1,28,9,30,1,28,2,30,1,6,3,30,2,28,1,30,1,28,1,6,1,30,1,13,2,6,4,13,5,6,1,28,10,30,1,33,1,5,153,28,1,30,1,16,1,13,1,7,1,6,1,13,3,6,1,13,1,6,1,7,1,13,1,30,1,13,1,6,1,33,7,5,135,30,1,28,10,30,1,28,1,29,1,13,1,15,1,14,2,9,1,24,1,9,1,8,1,6,1,29,1,6,1,29,1,8,2,10,1,9,1,10,1,12,1,8,1,30,1,28,5,13,1,17,1,24,1,6,1,28,1,30,2,28,25,13,1,14,1,17,2,9,1,24,1,13,1,24,5,8,1,7,1,6,2,13,2,10,2,17,1,13,1,28,3,30,1,}, {9,1,14,1,30,1,29,1,30,1,29,1,28,1,6,1,28,1,8,1,9,1,12,1,10,1,13,3,7,1,8,2,15,1,30,1,28,36,30,1,13,2,8,1,24,1,8,1,10,1,12,1,10,1,24,1,7,1,13,1,29,1,13,1,6,1,7,1,28,1,17,2,9,1,24,1,6,1,7,2,8,1,6,1,13,1,7,1,13,1,8,1,15,1,24,1,28,1,7,1,29,1,6,1,24,1,17,1,16,1,17,1,10,1,16,1,12,1,9,1,10,1,16,1,17,11,13,1,30,1,28,11,30,1,28,11,30,1,6,1,8,1,9,2,15,1,17,1,12,1,13,3,6,1,7,1,6,2,9,1,12,1,17,3,8,1,13,2,8,1,7,1,24,2,8,1,24,1,9,1,11,1,17,2,13,1,29,1,6,1,30,1,28,3,30,1,28,8,9,1,17,1,16,7,11,1,16,4,11,1,16,1,11,1,16,1,11,1,16,2,11,1,9,1,11,1,16,1,17,1,11,1,9,1,16,1,9,1,16,1,11,6,16,1,11,1,8,1,11,2,10,2,11,2,16,1,11,1,16,1,11,2,16,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,16,1,11,1,9,1,16,1,11,2,10,1,16,1,10,1,11,3,9,1,13,1,16,1,8,1,11,4,16,1,11,1,16,1,11,1,16,1,9,1,16,2,11,1,16,2,11,2,16,1,11,1,10,1,11,2,9,1,11,1,16,3,9,1,11,3,9,2,8,1,11,1,9,1,8,1,9,3,13,1,8,1,9,1,8,1,13,1,9,1,13,2,9,1,13,1,8,1,13,2,10,1,6,1,13,1,9,1,13,4,9,1,13,1,8,1,13,2,9,1,6,1,13,7,7,1,8,1,6,1,13,1,10,1,13,2,9,1,8,1,13,1,8,1,9,1,13,1,9,1,10,1,8,1,13,1,9,1,6,1,13,1,9,2,13,1,8,1,13,3,9,1,8,1,13,1,9,1,8,1,9,2,13,4,8,1,13,1,8,2,13,2,9,1,8,1,9,2,13,1,9,3,13,1,8,1,9,1,13,1,11,1,9,1,13,1,8,1,13,1,8,1,13,1,8,2,9,1,13,1,8,2,9,2,10,1,9,1,11,1,8,1,9,1,8,1,9,1,8,1,9,5,13,3,9,1,8,1,9,2,13,3,9,1,13,2,9,1,11,1,9,1,13,1,9,1,13,1,9,1,13,2,9,2,10,1,9,1,17,1,9,1,11,1,9,1,16,1,9,1,16,1,11,1,9,1,16,1,9,1,11,1,9,3,13,1,11,1,10,1,13,2,9,2,13,1,9,1,11,2,9,1,11,1,10,1,9,2,11,5,16,1,17,3,16,2,11,1,16,1,17,4,16,4,11,3,16,1,11,1,17,1,9,1,16,1,11,1,10,2,11,2,13,1,9,2,8,2,9,1,24,2,12,1,9,1,13,1,12,1,8,1,24,1,8,1,15,1,10,1,11,1,13,1,24,2,8,7,13,1,24,1,13,1,24,1,13,1,8,1,24,1,7,1,13,1,6,1,7,1,8,1,24,1,8,1,13,2,7,1,6,1,13,2,8,2,6,3,29,1,7,1,8,1,13,2,8,1,13,1,8,1,13,3,7,1,29,1,7,1,6,1,30,1,29,1,13,1,29,1,8,1,7,1,29,1,6,2,7,1,6,2,8,1,6,5,7,1,30,1,6,1,13,1,7,1,13,1,6,2,13,1,6,1,7,2,6,1,13,1,6,2,29,1,6,1,28,1,13,1,29,1,8,1,29,1,7,1,13,1,6,1,29,1,6,1,13,1,29,1,7,1,30,1,6,1,8,1,6,3,28,1,13,2,7,1,13,1,6,1,28,1,7,1,8,2,13,1,28,1,7,1,6,1,7,2,6,1,13,2,8,1,6,1,8,1,13,1,8,3,13,1,8,1,13,1,8,2,24,1,6,1,12,1,13,1,8,1,24,1,8,1,13,1,24,1,13,1,8,1,24,1,8,1,9,2,8,2,24,1,8,1,10,1,24,2,9,1,24,1,12,1,24,1,12,1,9,1,24,1,13,1,9,1,24,1,8,1,13,1,6,1,10,1,13,1,8,2,6,1,24,1,7,1,6,1,8,2,24,1,9,1,7,1,6,1,13,2,29,1,8,1,6,2,29,1,6,1,7,2,30,2,29,1,30,1,29,1,27,1,28,1,30,1,28,2,29,1,30,2,29,2,30,1,25,1,6,1,29,1,26,1,6,2,26,1,28,1,13,1,6,1,29,1,7,1,13,1,30,1,6,1,7,1,6,1,30,2,6,1,30,1,28,1,7,1,28,1,30,1,28,2,29,1,28,3,30,1,28,14,29,1,28,45,30,2,28,1,30,1,28,2,30,1,28,19,30,1,28,2,6,1,28,2,7,1,28,4,29,1,30,1,28,3,30,1,29,4,13,1,30,1,7,1,6,1,13,1,7,1,17,1,11,1,17,1,11,1,9,1,13,1,9,2,13,1,9,1,8,2,11,1,9,1,16,1,13,1,8,1,11,1,13,1,9,3,10,1,11,1,9,1,11,1,9,1,11,1,8,1,9,1,10,2,11,1,9,3,10,1,8,1,16,1,9,2,10,1,11,1,9,1,11,2,9,1,11,2,9,1,11,1,9,1,13,1,9,2,11,1,10,1,9,1,11,1,9,1,11,1,13,1,11,1,9,2,8,1,9,1,11,1,13,2,9,4,11,1,16,1,9,3,11,1,16,1,17,2,16,3,11,2,17,1,10,1,16,3,8,1,16,1,9,1,11,3,9,2,16,1,10,1,9,1,11,2,9,2,17,1,9,1,17,1,16,1,11,1,9,1,16,1,11,1,16,1,11,5,9,2,10,1,16,1,9,1,11,2,9,1,11,1,10,1,11,1,9,2,11,1,13,1,16,1,9,1,16,1,9,1,16,1,11,2,8,1,11,2,9,1,13,1,9,1,11,1,9,1,11,1,9,2,16,1,11,2,16,1,9,1,10,1,11,1,13,1,9,1,10,1,11,1,9,2,16,2,9,2,16,1,9,1,8,1,11,1,9,1,16,2,11,2,8,1,9,1,13,2,9,1,13,2,8,2,13,5,6,1,8,1,13,1,6,1,13,1,8,1,6,1,13,4,8,1,13,3,11,1,9,3,8,1,11,1,9,1,11,5,9,1,13,1,9,1,11,1,9,1,10,1,9,1,11,1,9,3,11,1,10,1,11,3,9,3,11,4,16,2,10,1,11,2,16,1,11,1,10,1,11,4,9,2,10,1,11,1,9,3,6,2,13,2,7,1,13,1,6,1,13,6,8,1,13,2,6,1,13,1,6,1,13,3,5,1,33,79,5,524,28,107,30,1,6,1,13,1,30,3,13,2,28,1,13,1,28,47,30,1,28,8,30,1,6,1,30,1,28,7,6,1,28,1,13,1,30,1,6,1,30,1,28,7,6,1,13,1,6,1,13,1,6,3,13,1,30,1,13,1,30,1,28,11,6,1,5,153,28,1,13,1,8,1,13,2,6,2,13,1,6,1,7,1,6,1,13,1,7,3,13,1,33,6,5,136,6,1,28,7,6,2,30,1,29,1,6,1,29,1,7,1,8,1,14,1,15,1,10,2,9,1,13,1,6,2,30,2,7,1,13,1,11,1,9,1,11,1,17,1,8,1,28,6,6,1,12,1,13,1,28,1,30,1,28,27,29,1,17,3,11,1,8,2,9,1,10,1,8,4,6,1,8,1,7,1,6,1,13,1,8,1,9,1,12,1,7,1,28,4,}, {24,1,14,1,13,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,13,2,9,1,24,1,6,3,8,2,15,1,7,1,28,36,30,1,6,1,8,1,24,1,8,1,10,1,9,1,17,2,24,1,6,1,8,1,6,1,30,1,29,1,7,1,6,1,12,1,14,1,24,2,7,2,6,2,8,1,7,1,29,1,6,1,9,1,17,1,24,1,30,1,6,1,13,1,6,1,9,1,17,4,11,1,9,2,11,1,9,1,17,10,14,1,9,1,6,1,28,24,6,1,8,1,24,1,9,1,17,1,14,1,17,1,10,1,13,2,6,1,29,1,6,2,9,1,17,3,16,1,9,1,8,1,6,1,8,1,13,2,8,1,13,1,24,1,11,1,10,1,17,1,14,1,8,1,6,1,28,1,30,1,28,1,30,1,28,6,30,1,28,3,9,2,17,1,16,2,17,1,16,1,17,1,16,1,11,1,16,1,11,1,10,1,16,1,11,4,16,1,11,1,9,3,17,1,9,1,11,1,16,2,11,1,16,1,11,1,16,1,9,2,11,1,9,1,11,1,16,1,9,1,11,3,9,1,11,1,16,1,9,1,16,1,9,1,11,1,16,1,11,2,9,1,11,1,9,1,11,7,9,1,10,1,9,1,11,3,10,1,11,2,16,1,11,3,9,1,16,1,11,1,16,2,11,1,16,1,11,1,16,3,9,1,11,1,16,1,11,2,16,1,11,4,9,1,11,4,9,1,11,2,9,4,11,1,9,2,11,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,9,2,8,1,13,3,7,1,6,1,13,5,8,1,13,2,8,1,13,1,8,1,13,2,9,1,13,4,9,1,13,4,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,4,6,1,13,1,9,1,13,1,9,1,13,2,8,1,13,3,8,2,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,2,8,1,9,2,8,1,13,1,9,3,13,1,9,1,8,1,9,1,8,1,9,2,11,1,8,1,13,1,9,1,13,3,9,1,13,1,8,2,9,1,13,1,9,5,8,1,9,1,11,1,9,1,11,1,9,2,13,1,9,2,13,2,9,3,13,1,9,1,11,1,8,1,13,1,9,2,11,1,8,1,9,1,13,2,9,1,8,2,9,2,11,3,17,1,11,1,16,1,11,1,16,1,11,3,9,1,16,1,11,1,8,1,11,1,9,5,11,1,10,1,9,1,11,1,9,4,11,1,9,1,10,1,9,2,16,1,9,2,10,2,11,1,17,1,16,1,17,3,16,1,17,1,16,2,17,1,16,1,11,1,17,4,16,3,17,1,11,2,10,1,11,1,16,1,9,1,17,2,16,1,9,2,10,1,9,1,12,1,9,1,10,1,24,2,13,2,10,1,13,1,9,2,8,1,10,1,9,2,24,1,15,1,7,1,24,1,9,1,24,2,13,1,24,1,13,1,8,2,13,1,8,1,7,1,13,2,24,1,13,1,8,1,13,3,8,1,13,1,24,1,7,1,29,2,7,1,6,1,13,1,7,1,13,2,6,1,13,1,24,1,7,1,6,1,13,2,8,1,13,1,8,1,7,1,6,1,8,2,13,1,6,1,8,1,6,2,8,1,7,1,13,1,29,1,8,1,6,2,13,1,29,1,6,3,8,1,7,1,6,1,7,1,6,1,13,1,7,1,8,1,7,2,6,2,7,2,29,1,6,4,13,1,30,1,7,1,13,1,28,1,6,1,7,1,6,1,29,1,6,2,13,1,7,1,30,1,13,2,29,1,6,1,13,1,6,1,13,2,6,1,13,2,8,1,6,2,8,1,6,2,13,1,6,1,8,1,29,1,7,1,13,1,7,1,13,1,24,1,8,1,13,1,8,1,7,1,13,1,7,2,8,2,6,1,24,3,13,1,24,1,7,1,8,1,9,1,24,1,13,1,9,1,13,1,8,1,24,1,12,1,9,1,12,1,24,1,12,1,8,1,24,1,10,1,9,1,15,1,24,1,9,1,10,1,24,1,13,1,10,1,9,1,8,1,13,4,9,1,24,1,8,1,29,1,6,1,9,1,12,1,9,1,13,1,12,1,30,1,13,1,6,1,8,2,13,6,6,1,7,1,29,3,28,1,30,1,26,1,28,1,29,1,26,1,28,1,30,1,29,1,30,1,25,2,8,1,26,1,29,1,25,1,29,1,26,1,6,1,26,1,6,1,30,1,6,1,29,1,7,1,30,1,6,1,13,2,28,1,7,1,30,1,29,1,30,2,29,1,30,1,28,1,29,1,28,4,29,1,28,13,29,1,28,78,29,1,28,6,30,1,28,2,29,1,28,1,29,2,6,1,7,1,30,1,7,1,6,1,30,1,13,1,6,2,11,1,16,3,9,2,16,1,9,3,16,1,13,1,9,6,13,1,9,1,10,1,8,1,9,3,11,1,9,2,10,1,11,2,16,1,9,2,16,1,13,1,11,1,9,2,16,1,9,1,10,1,13,2,11,1,9,2,16,1,9,1,11,1,9,1,16,1,8,1,16,1,9,2,11,1,9,1,11,1,16,1,9,4,16,3,9,2,16,1,11,2,9,4,11,2,17,3,16,2,11,1,16,2,11,2,16,1,11,1,9,2,16,1,11,2,9,2,11,1,9,2,11,2,9,3,17,1,9,1,11,1,16,1,17,2,11,3,16,1,11,1,16,2,13,1,9,1,10,1,11,2,16,1,11,1,16,1,9,1,17,2,10,1,17,2,9,1,17,1,10,1,16,2,11,1,9,3,13,1,11,1,9,1,13,1,11,1,13,1,8,1,11,1,9,1,11,1,9,1,16,1,11,2,9,1,17,1,11,2,16,2,11,3,9,2,16,1,17,1,11,2,9,1,17,1,10,1,13,1,9,1,17,1,8,1,11,1,16,1,9,2,13,1,9,1,13,1,8,1,13,1,8,4,13,1,8,1,6,1,13,2,7,1,13,2,8,1,13,1,8,1,6,1,13,2,8,1,13,1,8,1,13,1,9,1,13,1,9,4,11,1,9,1,11,1,16,1,11,1,9,1,11,1,9,2,13,2,9,3,11,3,9,1,13,1,9,1,11,3,13,2,9,2,13,1,11,2,16,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,11,5,9,3,8,2,13,2,6,1,30,1,9,1,6,1,13,6,9,1,13,1,6,1,13,3,6,1,7,1,9,1,13,1,33,80,5,524,28,107,30,1,28,1,6,1,28,1,30,1,28,1,13,2,6,1,7,1,28,9,30,1,28,1,6,1,28,33,30,2,28,6,6,2,28,2,30,1,28,1,30,1,28,1,6,3,30,1,28,2,6,1,28,2,30,1,28,9,30,1,6,1,13,1,6,2,13,3,30,1,28,1,30,1,28,10,13,1,5,153,30,1,11,1,8,1,7,1,6,3,13,2,6,1,13,1,6,1,7,1,13,1,6,1,33,6,5,136,30,1,28,6,30,1,29,2,30,1,28,1,6,1,29,1,8,1,11,1,15,1,11,1,10,1,9,1,10,1,8,1,6,1,28,1,6,1,7,1,13,1,8,1,11,1,10,1,17,1,12,1,24,1,28,6,13,1,12,1,8,1,29,1,6,1,30,1,29,1,28,25,6,1,17,1,14,1,16,1,9,2,10,1,12,1,10,1,24,2,9,1,13,3,6,1,13,1,9,3,11,1,7,1,28,4,}, {17,1,12,1,6,1,28,1,29,1,28,1,6,1,28,3,17,2,9,1,6,1,29,1,6,1,8,1,29,1,8,1,15,1,13,1,28,17,30,1,28,1,30,1,28,16,30,1,6,1,8,1,24,1,8,1,9,1,24,1,10,1,17,1,8,1,13,1,6,4,29,1,30,1,9,1,14,1,12,1,13,1,6,1,7,2,13,1,8,3,6,1,9,1,15,1,24,1,6,1,7,2,6,1,24,1,17,4,16,1,10,1,9,1,16,1,17,1,16,1,17,10,9,1,6,1,28,3,30,1,28,20,7,1,24,1,12,2,17,1,14,1,17,1,15,1,8,1,13,1,7,1,6,2,7,1,10,1,17,2,9,1,12,1,9,1,8,1,13,3,24,1,13,2,8,1,9,1,12,2,17,1,9,1,28,3,30,1,28,10,30,1,10,1,16,1,11,1,17,1,16,7,11,1,16,1,11,1,16,1,11,1,16,1,9,1,16,1,9,2,11,1,9,1,11,1,16,1,11,2,8,1,16,1,11,4,9,2,11,1,16,1,11,1,9,1,11,1,9,2,16,1,9,2,11,1,13,1,16,1,9,2,16,1,11,1,9,1,11,4,10,1,9,1,16,1,11,1,16,1,11,1,16,1,11,3,9,1,16,1,11,1,16,1,11,1,16,3,11,1,17,1,11,1,17,1,16,1,10,1,17,1,16,1,11,2,16,1,11,2,16,1,10,1,11,4,10,1,11,1,9,1,10,1,16,1,11,2,16,1,10,1,17,1,10,1,11,1,9,1,16,1,9,2,10,1,9,1,10,1,16,1,9,1,13,1,9,1,8,1,13,1,11,1,9,1,13,1,10,1,9,1,13,2,8,1,13,1,9,1,8,1,13,5,9,1,13,1,7,1,8,1,9,1,13,1,8,1,13,1,8,1,13,3,6,1,13,1,9,1,13,1,8,1,13,2,9,2,13,1,8,1,9,1,13,1,9,2,13,1,9,1,6,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,2,9,1,7,1,13,1,9,1,7,1,9,1,13,1,8,1,9,1,6,1,13,3,9,1,13,1,9,1,13,1,9,6,13,1,8,1,13,2,9,1,13,1,9,3,13,1,6,1,13,1,7,1,8,1,13,1,8,1,9,7,8,1,9,3,13,1,9,4,16,1,9,2,11,1,8,1,13,1,9,3,13,2,9,1,8,3,11,1,13,1,9,3,13,1,9,1,13,1,9,1,11,1,9,4,11,1,16,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,9,1,16,1,11,1,9,1,11,1,9,2,11,2,9,1,11,1,16,1,11,2,16,1,9,1,10,1,16,1,9,1,11,1,9,1,11,1,9,6,8,1,11,2,9,1,16,1,17,1,16,3,17,7,16,3,11,2,9,1,11,1,10,1,17,1,11,1,17,1,12,1,10,1,11,1,17,1,11,1,17,2,9,3,8,1,24,2,12,1,24,1,8,1,17,1,8,1,10,1,12,1,24,1,8,2,12,1,8,1,9,1,12,1,8,2,9,2,13,1,9,1,13,5,10,1,24,1,13,1,8,1,13,1,24,1,13,1,6,1,24,1,8,1,6,1,24,1,8,1,13,1,7,1,8,3,7,1,6,1,8,1,13,2,6,1,8,1,13,1,8,3,13,1,24,2,7,1,13,3,6,1,7,1,13,1,8,1,13,1,6,1,8,1,13,2,8,1,7,1,13,1,7,1,13,1,8,2,6,1,9,1,6,1,13,2,6,1,7,1,24,1,6,1,24,1,6,1,29,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,7,3,13,2,28,1,13,2,30,1,6,1,7,1,6,1,13,1,7,1,8,1,13,1,7,1,13,1,6,1,13,2,7,1,8,1,6,2,8,1,6,1,8,1,7,1,24,1,29,1,8,1,13,5,7,1,10,1,6,1,13,1,6,1,13,1,7,1,13,1,8,1,7,1,13,1,24,1,8,4,13,1,24,4,8,1,12,2,24,1,8,1,10,1,24,1,9,1,12,1,8,1,9,1,15,1,8,2,12,1,8,1,24,2,10,1,8,1,13,1,9,1,8,1,12,1,24,1,13,1,24,1,8,3,24,1,7,1,13,3,8,1,24,3,8,2,10,1,8,2,24,2,8,1,7,1,8,1,30,1,6,1,8,1,6,2,26,1,29,2,6,1,29,1,25,1,29,2,26,1,25,1,6,1,26,1,29,1,7,1,6,2,7,1,6,1,7,2,13,1,6,2,30,1,6,1,29,2,30,1,7,1,30,2,29,1,30,1,29,1,30,2,29,1,30,2,28,4,29,1,28,9,29,1,30,1,28,47,30,1,28,35,6,1,30,1,28,6,30,1,7,1,6,1,7,1,30,1,29,1,30,1,29,1,6,2,13,1,6,1,8,1,11,1,17,2,16,2,11,1,9,1,11,1,13,2,9,2,13,1,8,1,9,1,11,2,9,2,16,1,9,6,11,1,10,1,9,1,11,1,16,2,9,1,16,1,11,1,9,1,16,1,9,1,16,1,9,1,16,1,9,2,16,1,9,1,16,2,9,2,8,1,9,1,11,1,8,1,10,2,9,1,11,1,13,1,8,1,11,1,9,3,11,2,16,1,11,1,9,2,17,1,16,1,17,1,16,3,9,1,17,2,16,3,10,1,16,3,9,2,16,1,11,1,16,1,9,4,11,1,8,1,9,2,10,1,9,2,13,2,11,1,9,4,11,1,16,1,9,1,16,1,11,1,16,1,9,1,11,1,10,1,11,1,16,1,9,1,17,1,16,1,11,1,17,1,9,1,10,2,16,1,9,1,11,3,16,1,9,1,11,2,17,1,11,1,9,2,11,1,16,1,9,1,13,1,17,1,11,1,9,1,11,1,9,1,16,3,9,1,16,1,17,2,16,1,17,1,11,6,17,2,11,1,9,1,17,1,9,2,11,1,8,1,16,1,9,1,11,1,9,2,11,1,8,2,13,1,8,1,13,2,9,1,8,2,13,10,6,1,13,1,6,1,13,4,8,1,13,2,9,4,13,1,9,1,11,2,9,2,16,1,11,1,9,2,11,1,9,4,13,1,6,1,8,1,16,1,11,1,9,4,11,1,9,4,13,1,9,2,11,1,9,3,11,3,16,2,9,2,10,1,9,4,13,1,9,1,13,3,8,1,9,1,13,2,8,1,13,3,8,1,13,2,6,1,13,1,6,1,13,2,9,1,13,2,33,81,5,524,28,70,6,1,30,1,28,2,30,1,28,36,6,2,30,1,13,2,28,4,6,1,28,1,6,1,30,1,6,2,13,1,28,34,6,1,30,1,28,10,30,1,28,1,30,2,6,2,30,1,28,1,13,1,6,1,28,13,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,28,7,30,1,28,2,13,1,5,153,13,1,9,1,13,1,29,1,6,1,7,1,13,1,7,1,13,2,6,1,13,1,6,1,13,1,33,6,5,136,28,7,29,3,30,2,29,1,28,1,24,1,14,1,17,1,10,1,17,1,10,1,24,1,7,1,6,1,30,1,6,1,29,1,7,1,9,1,10,1,15,1,17,2,8,1,28,6,13,1,10,1,24,1,30,1,28,28,29,1,14,1,17,1,16,1,9,1,24,1,9,1,10,1,12,1,8,1,24,1,10,1,8,1,29,1,13,1,6,1,13,1,8,2,9,1,11,1,6,1,28,4,}, {12,1,9,1,13,1,6,1,30,1,28,4,29,1,24,2,9,1,6,1,7,1,13,2,8,1,6,1,12,1,7,1,28,37,29,1,13,1,24,1,9,1,10,1,24,1,15,1,12,1,24,1,7,2,13,2,30,1,6,1,13,1,9,1,14,1,9,2,24,1,7,1,6,1,24,1,13,1,24,1,8,1,30,1,24,1,15,1,8,2,30,3,8,1,9,1,17,2,9,1,12,1,16,1,12,1,17,12,14,1,11,1,6,2,30,1,28,22,13,1,9,1,17,2,12,1,17,2,12,1,13,2,30,1,7,1,13,1,6,1,12,1,17,2,12,1,9,1,10,1,8,1,7,1,24,1,13,4,8,2,12,1,11,1,17,1,24,1,28,8,30,1,28,6,9,1,11,1,17,1,16,3,17,1,16,6,11,1,16,1,11,1,16,1,11,1,17,1,11,4,9,3,11,2,16,1,11,2,16,1,9,1,11,2,9,4,11,1,9,2,11,1,9,2,8,1,9,1,11,1,9,1,11,1,9,1,11,2,10,1,11,4,9,1,16,1,9,1,11,1,17,1,10,1,17,1,9,2,17,1,16,1,11,1,16,1,11,3,16,1,9,1,11,1,16,2,11,1,16,2,11,2,9,1,11,2,16,1,11,1,8,1,11,1,16,1,9,2,11,1,9,1,11,2,9,1,11,1,9,1,16,1,17,1,9,1,16,1,9,1,16,1,9,2,11,2,10,1,11,1,10,1,9,3,13,4,9,1,13,9,8,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,8,2,13,2,6,1,13,3,8,1,13,2,8,2,9,1,13,1,9,4,13,1,9,1,13,1,8,1,13,3,9,1,13,1,9,2,13,4,9,1,13,1,8,1,9,1,13,1,10,1,13,3,8,2,13,2,9,1,13,1,9,1,13,1,9,2,13,1,9,1,13,2,8,1,13,1,11,1,9,5,13,2,9,1,8,1,9,4,13,1,9,3,13,1,10,1,8,1,13,1,6,1,9,2,13,1,9,2,8,1,9,3,11,1,9,1,10,1,9,1,13,1,9,1,16,1,10,1,9,6,11,1,9,4,11,1,9,7,16,2,9,1,11,1,10,1,11,1,9,1,11,2,9,4,11,1,10,1,11,7,9,1,16,2,9,1,11,1,9,1,11,3,8,1,9,1,8,1,9,2,11,1,9,2,11,1,16,4,17,2,16,2,17,5,16,1,17,3,16,1,17,2,11,1,10,2,11,1,17,1,16,1,17,2,9,1,17,1,10,1,11,1,17,2,9,1,12,1,17,1,9,1,24,3,9,3,10,2,9,1,12,1,9,2,8,1,11,2,8,1,9,1,8,5,9,1,8,2,7,1,8,2,9,1,24,1,7,1,24,1,9,1,8,1,24,2,8,1,13,1,8,2,13,1,8,3,13,1,8,2,24,1,12,1,7,1,13,4,8,1,6,1,13,2,9,1,8,1,24,1,6,1,13,2,24,2,8,1,6,1,13,1,8,2,24,1,13,1,7,2,8,1,7,1,10,1,8,1,6,1,13,1,24,3,13,1,8,2,24,1,8,1,7,1,13,1,8,1,24,1,7,1,13,1,8,1,30,1,13,2,6,1,13,2,7,1,29,1,13,1,8,1,13,1,7,1,6,1,13,1,6,3,7,1,13,1,8,1,13,1,6,2,24,1,6,2,7,1,8,1,6,1,8,1,13,1,7,1,6,1,7,1,8,1,6,1,24,1,13,1,8,1,24,2,10,1,13,1,8,1,13,1,12,1,13,1,8,1,24,1,13,1,8,1,24,2,13,1,8,2,24,1,12,2,8,1,9,2,24,1,8,1,12,1,9,1,11,1,8,1,9,1,24,2,9,1,12,1,24,2,10,1,24,1,10,2,8,2,12,1,24,1,9,1,24,2,8,2,24,1,8,2,12,1,8,1,24,1,8,1,6,1,8,1,9,1,7,2,24,1,6,1,8,1,24,1,8,2,6,1,13,1,7,2,29,1,7,1,6,1,7,1,30,1,6,2,29,1,6,1,8,1,29,1,8,1,6,2,8,2,6,1,25,1,7,1,6,1,7,1,6,1,7,1,29,1,13,2,6,1,7,1,6,1,7,1,13,1,30,1,6,1,28,1,30,2,28,4,30,3,28,6,30,1,28,6,29,1,28,84,30,2,28,3,29,1,30,1,28,1,29,2,28,1,6,1,30,2,28,1,13,1,6,4,8,1,7,1,17,1,11,1,17,1,16,1,11,1,13,1,9,3,13,1,9,2,16,1,9,2,11,1,8,1,11,1,9,6,13,1,11,1,13,1,16,1,11,1,9,2,11,1,9,1,11,1,9,1,16,2,11,2,9,1,16,1,11,1,9,1,10,1,8,1,9,3,13,1,9,1,16,1,13,1,9,6,11,1,9,1,10,1,9,1,13,1,9,1,11,1,9,2,16,1,11,1,16,4,11,1,16,4,11,1,16,1,9,1,16,5,9,1,11,1,16,1,10,1,9,1,11,1,16,1,9,1,11,1,16,1,11,1,9,2,16,1,17,1,9,4,16,1,11,1,9,1,16,1,9,4,10,1,11,1,9,1,13,1,11,1,13,1,11,1,9,1,16,3,11,2,10,1,11,1,16,1,11,2,17,1,11,1,16,2,11,1,9,1,11,1,13,1,9,1,11,1,13,1,11,1,9,3,17,1,11,1,17,1,11,1,17,1,16,1,17,2,16,3,11,1,17,2,16,1,9,2,11,1,16,1,11,2,16,1,11,2,16,1,9,1,16,1,9,1,10,1,11,1,10,1,8,1,9,2,13,2,9,1,13,1,8,1,9,1,13,3,29,1,13,4,9,1,13,1,9,1,7,1,13,1,9,1,13,3,6,1,13,4,8,1,9,2,11,2,9,2,11,5,9,3,11,1,16,1,9,1,13,1,6,1,30,1,6,1,13,1,11,1,9,6,8,1,9,1,8,1,9,1,8,1,9,1,11,2,9,1,16,3,11,1,9,2,11,1,9,1,8,1,9,4,8,1,13,3,9,1,13,7,8,1,13,1,9,1,13,3,6,1,13,3,9,1,33,83,5,523,28,74,30,1,28,2,30,1,28,37,30,1,28,2,6,1,28,1,30,1,13,2,9,2,13,1,9,1,28,13,30,1,28,33,30,1,28,1,6,1,28,2,13,1,6,1,28,1,30,1,28,14,6,1,28,1,6,6,13,1,6,2,30,1,28,9,33,1,5,152,13,1,9,1,6,1,30,1,6,2,13,1,6,1,13,1,6,1,13,2,9,1,33,5,5,136,33,1,28,8,30,1,28,1,6,1,29,1,6,1,30,1,8,1,14,1,17,2,9,1,24,1,7,2,6,1,28,1,29,1,7,2,9,1,24,1,15,1,17,2,7,1,28,6,9,1,17,1,9,1,29,3,30,1,28,25,29,1,17,2,11,2,8,1,9,2,15,1,12,2,8,1,13,2,6,1,28,1,6,1,24,1,13,1,12,1,9,1,6,1,28,4,}, {12,1,14,1,6,1,30,5,28,1,6,1,8,1,9,2,8,1,6,1,29,1,6,2,8,1,9,1,8,1,30,1,28,36,30,1,7,1,24,1,8,1,24,1,10,1,12,1,14,1,10,1,30,1,7,1,6,1,13,1,6,1,28,1,6,1,12,1,15,2,9,1,24,1,7,2,13,1,8,2,13,2,8,1,12,1,11,1,13,1,6,1,30,1,13,1,8,1,12,1,17,2,16,2,10,1,11,1,9,1,17,11,14,1,9,1,7,1,28,1,30,1,28,22,13,1,12,1,10,1,12,2,15,1,17,1,9,2,13,1,29,1,6,3,17,2,12,1,16,1,9,1,10,1,9,1,6,1,13,5,8,2,10,1,9,1,11,1,8,1,28,2,30,1,28,12,9,1,11,1,16,3,17,1,16,3,17,1,10,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,9,1,11,2,9,1,17,1,9,1,11,1,9,1,11,1,9,1,11,2,9,1,11,2,9,1,11,1,9,2,16,1,9,1,11,2,8,1,16,1,11,3,9,1,11,1,9,1,16,1,9,1,16,1,11,5,16,1,11,1,9,1,11,3,16,1,11,2,9,2,11,1,16,3,11,2,16,1,11,3,16,1,9,2,11,1,9,1,11,1,9,1,16,1,9,1,11,4,16,1,11,1,16,1,9,6,17,1,16,1,11,1,16,1,11,3,9,1,10,1,9,1,13,1,9,3,8,1,13,2,9,2,13,2,9,1,13,2,8,1,13,1,9,1,13,2,7,1,13,2,9,1,6,1,13,3,8,1,7,1,9,1,13,5,6,1,13,1,9,1,8,1,13,1,9,4,13,1,9,1,13,3,9,1,8,1,13,1,9,1,13,3,9,1,13,1,8,2,6,1,9,1,13,6,8,1,9,1,13,2,9,1,13,3,8,1,13,3,9,2,13,1,9,1,8,1,13,1,9,2,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,9,2,11,1,9,1,13,1,9,6,13,2,8,1,9,1,13,1,9,3,13,1,9,1,11,1,8,1,9,1,8,1,9,6,8,1,9,1,10,1,9,2,10,1,9,2,16,1,9,1,11,3,9,1,11,1,9,1,13,1,11,2,9,1,10,1,11,1,10,1,11,1,9,1,11,3,16,1,11,1,16,1,11,7,16,1,11,3,16,1,10,2,16,4,9,3,16,1,9,1,11,1,10,1,9,1,16,1,11,2,16,10,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,3,16,3,11,2,17,3,16,1,17,1,11,1,12,1,11,1,17,1,9,1,12,1,10,1,12,2,24,1,17,1,12,1,9,1,11,1,12,1,11,1,10,1,9,1,12,1,8,1,9,3,16,1,24,1,10,1,17,1,8,1,10,1,9,2,14,1,9,1,15,1,8,1,9,1,10,1,8,1,10,1,9,1,8,1,13,1,8,4,13,1,9,2,7,1,8,2,6,1,8,1,24,1,8,1,10,1,13,2,7,1,8,1,13,1,8,2,9,1,24,2,13,1,8,1,24,1,13,1,8,3,13,1,8,1,24,4,13,1,8,2,13,2,8,4,13,1,8,1,24,1,8,1,24,1,6,1,8,1,6,1,8,1,13,1,6,2,7,1,13,3,8,2,29,1,6,1,8,1,13,1,24,1,13,2,7,1,24,1,13,1,29,1,6,1,8,1,7,1,13,1,8,1,24,1,6,1,7,1,8,2,13,2,29,1,6,1,7,1,13,1,6,1,7,1,8,1,7,1,8,1,13,1,7,1,13,1,24,2,6,1,8,3,13,1,24,1,13,1,24,1,9,1,24,3,13,1,24,1,13,1,24,1,9,1,8,1,24,1,9,1,8,1,24,1,9,1,7,1,24,1,8,1,15,1,8,1,9,1,10,1,24,1,12,1,24,1,12,3,24,1,9,1,24,1,12,1,9,1,24,4,13,1,24,1,8,1,9,1,12,1,29,1,7,3,13,1,9,1,7,1,24,1,8,1,13,1,8,2,24,1,13,1,7,1,8,1,13,2,8,2,29,1,7,1,8,1,7,1,6,1,7,1,13,1,6,1,7,1,6,1,7,2,6,1,7,1,6,1,7,2,6,2,13,1,7,1,8,1,7,1,29,1,24,1,30,1,13,1,7,1,30,2,28,1,29,1,28,1,30,1,28,3,30,1,28,6,30,2,28,1,30,1,28,102,30,2,29,2,28,1,6,1,13,1,30,1,29,1,7,2,13,3,16,1,17,1,9,1,11,1,16,1,13,1,10,1,8,1,13,3,6,1,11,1,9,1,11,2,13,1,9,1,16,1,11,1,9,1,8,1,9,4,13,1,11,1,16,1,9,3,11,1,9,3,11,1,9,2,16,1,9,1,11,1,16,1,9,1,13,1,11,2,13,1,9,1,11,2,8,1,9,2,8,1,16,1,9,1,11,1,16,1,10,1,11,3,13,1,11,1,9,3,11,1,9,1,10,1,11,1,16,1,9,2,16,1,11,2,9,1,11,1,16,1,11,2,16,1,11,1,9,2,16,1,10,2,11,1,16,1,9,3,11,1,16,1,9,1,11,1,9,1,16,1,11,1,9,2,16,2,10,1,16,2,9,1,8,1,11,1,9,1,11,1,9,2,11,1,9,2,16,1,11,1,10,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,11,2,9,2,16,1,9,5,13,1,16,1,11,1,17,1,16,2,11,1,17,2,16,1,17,1,11,1,17,2,16,3,17,1,16,1,11,1,16,2,11,2,16,1,11,3,17,1,11,1,17,1,9,1,11,2,9,1,8,2,13,8,6,1,13,1,7,1,6,1,13,5,9,1,8,3,9,1,13,2,7,1,6,1,13,2,9,3,11,5,9,1,11,4,9,2,11,1,9,2,13,1,9,1,16,1,9,4,11,2,13,1,9,2,13,1,9,5,8,1,9,1,11,1,16,1,11,1,16,1,9,2,16,1,9,1,11,1,16,1,13,1,9,4,13,1,9,2,13,4,6,1,13,4,8,2,13,6,9,1,13,1,33,84,5,523,33,1,28,74,13,2,6,1,30,2,28,40,6,2,13,1,11,1,13,3,6,2,28,1,6,1,28,9,30,1,28,25,29,1,28,8,30,1,28,2,30,1,28,1,13,1,6,1,28,17,6,1,13,1,6,2,13,1,6,1,13,2,28,1,13,1,28,9,13,1,5,152,13,1,30,2,29,1,13,2,6,5,13,1,33,5,5,137,28,8,29,1,6,1,13,1,30,1,29,1,28,1,8,1,14,1,17,1,9,1,8,1,10,1,8,1,7,1,28,1,30,1,6,1,30,1,13,1,9,1,12,1,11,1,12,1,17,1,8,1,28,6,8,1,17,1,9,1,6,2,30,1,29,1,28,26,14,1,17,2,9,2,8,1,12,1,17,1,10,1,9,1,8,2,30,1,29,1,6,1,13,1,24,1,13,1,11,1,9,1,29,1,28,4,}, {9,1,15,1,13,1,30,1,29,2,28,1,30,2,28,1,10,1,24,1,9,1,6,3,7,2,6,1,9,1,13,1,28,36,30,1,28,1,8,1,13,1,8,2,9,1,15,1,14,1,12,1,6,1,29,1,6,1,29,1,6,1,29,1,30,1,12,1,17,1,12,1,9,1,13,2,6,1,8,3,15,1,8,1,9,1,15,2,6,1,30,2,6,1,8,1,12,1,10,1,16,1,9,5,12,1,17,10,14,1,16,1,13,1,28,3,30,1,28,20,13,1,8,1,9,1,12,1,17,2,12,1,24,1,13,1,6,1,8,1,13,1,6,2,17,1,11,1,12,1,9,1,11,1,8,1,13,1,8,1,7,2,13,1,7,1,8,2,13,1,12,1,9,1,11,1,8,1,29,1,30,2,28,12,8,1,11,1,17,6,16,4,11,3,16,5,11,2,17,1,9,1,11,7,10,1,11,2,9,1,16,1,9,1,16,1,9,1,11,2,16,1,9,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,16,2,11,1,16,1,11,4,16,1,11,2,16,1,11,1,16,1,9,1,17,1,11,2,16,1,11,2,16,2,17,1,11,2,9,1,11,5,16,1,9,3,11,6,16,1,11,4,9,1,10,1,8,1,9,1,11,3,9,2,11,1,9,3,16,1,9,1,11,1,9,3,13,4,9,1,8,1,11,1,13,5,9,1,13,7,8,1,7,1,29,1,13,3,6,1,13,1,29,1,9,1,13,2,9,2,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,13,6,9,1,13,3,9,1,8,2,9,1,8,1,9,1,8,1,13,1,9,1,13,2,9,1,13,2,9,2,8,2,9,1,13,2,8,1,9,2,8,1,9,3,11,1,9,2,10,1,9,3,10,1,8,1,9,5,8,1,13,1,9,2,13,1,16,1,13,1,9,2,13,1,9,4,8,1,13,1,16,1,13,1,16,1,9,1,10,1,9,1,10,1,9,2,8,1,9,4,11,1,9,2,11,1,9,1,11,1,9,3,11,2,16,1,9,3,11,1,9,1,11,1,9,1,11,4,9,1,16,3,11,2,16,1,11,8,16,1,11,2,16,2,11,1,16,1,9,1,11,2,9,1,11,2,9,1,11,1,16,4,17,1,16,3,11,1,16,2,11,1,16,2,11,1,16,5,17,3,16,1,17,3,16,1,17,1,16,1,17,1,16,1,17,6,11,1,16,1,10,1,11,1,17,2,16,2,12,1,17,1,11,1,10,1,16,1,11,1,16,2,9,1,17,1,11,2,17,1,11,1,9,1,8,1,10,1,8,1,9,1,17,1,8,2,9,2,12,1,24,1,8,1,9,1,12,1,13,1,24,1,8,1,9,1,24,1,13,1,24,1,8,1,9,1,24,1,9,1,24,1,6,1,9,1,8,1,9,1,10,1,12,2,24,1,9,3,8,1,13,1,10,1,9,1,13,1,8,1,24,2,8,2,9,2,24,1,9,1,8,1,9,2,8,3,7,1,24,1,9,1,7,1,8,3,17,1,7,1,11,1,8,1,12,1,8,3,24,1,13,2,8,1,7,1,12,1,8,1,6,1,24,1,13,1,8,1,7,1,8,4,9,1,8,2,13,1,7,1,13,2,8,1,24,1,7,1,24,2,6,1,9,1,13,1,6,1,24,1,6,1,7,1,13,2,6,1,8,1,24,1,7,1,8,1,13,1,7,1,24,1,8,3,24,1,9,1,13,1,8,1,9,2,13,1,8,1,6,1,24,1,11,1,24,1,12,1,13,1,9,1,12,1,9,2,17,1,10,1,9,1,24,1,10,1,24,1,8,1,12,1,10,1,9,4,11,1,10,1,12,1,9,3,10,2,13,1,9,1,12,1,13,1,24,1,10,1,17,1,8,1,24,1,13,1,7,1,13,2,8,2,9,1,7,2,12,1,11,1,8,1,6,1,8,2,13,2,6,1,8,1,6,1,13,1,6,1,8,1,6,1,7,1,8,1,29,1,7,1,6,1,13,1,8,1,24,1,29,1,24,1,7,2,8,1,6,1,7,1,29,1,6,1,13,1,6,2,29,1,13,1,29,2,7,1,6,1,30,1,28,3,6,1,28,2,6,1,28,106,30,2,28,4,6,1,28,1,29,1,7,1,29,1,30,1,28,1,7,1,29,1,7,1,6,1,7,1,8,1,9,2,11,1,17,1,11,1,9,2,10,1,13,2,9,1,13,3,9,12,11,1,9,2,16,1,9,1,11,1,16,2,8,1,16,1,11,1,16,1,9,1,11,1,9,2,13,1,9,2,11,1,9,2,16,1,9,1,16,1,9,1,16,1,9,2,16,1,9,1,11,3,13,1,8,1,11,1,9,1,16,4,9,2,16,1,9,1,16,1,11,1,9,1,11,1,10,1,16,2,11,1,9,1,11,1,16,1,11,1,16,1,11,1,9,1,16,2,9,2,11,1,9,1,16,1,11,1,9,1,16,1,9,1,16,1,9,1,17,1,16,1,9,1,16,2,10,1,11,1,16,1,9,1,16,1,9,1,16,1,8,1,9,3,11,1,16,1,9,1,16,1,9,1,11,1,9,1,11,4,9,1,11,1,9,1,11,1,9,1,11,1,8,1,9,1,10,1,8,1,9,3,11,1,9,3,11,1,9,1,16,1,11,1,9,2,11,1,16,1,11,1,17,4,16,1,11,1,17,1,11,1,17,1,16,1,17,1,11,1,17,1,9,1,16,1,13,1,9,1,13,1,11,1,8,1,13,1,9,4,13,4,8,1,13,2,6,3,13,1,6,1,8,1,13,1,8,1,13,4,9,2,13,3,8,1,13,1,9,1,13,2,16,1,10,1,9,2,11,2,10,1,9,1,16,1,11,1,9,4,16,1,9,2,8,1,9,5,13,2,11,1,9,2,13,2,8,1,9,1,8,1,9,3,11,4,9,1,13,1,11,1,9,1,11,1,10,1,9,2,10,1,13,1,9,3,13,1,9,1,13,1,9,1,13,7,9,2,13,4,8,1,13,1,8,1,9,1,5,1,33,85,5,524,28,75,30,1,28,1,30,2,6,1,30,2,28,37,30,1,28,2,6,1,30,1,6,1,28,1,6,1,28,11,30,2,28,37,6,1,30,1,28,1,30,1,28,17,30,1,6,1,13,2,29,1,13,2,6,1,28,10,6,1,13,1,5,150,28,1,13,1,28,1,30,1,13,1,30,1,13,1,6,1,7,1,13,1,7,1,13,1,33,5,5,136,33,1,28,8,6,1,28,3,6,1,30,1,14,1,17,3,13,1,10,1,13,2,28,1,30,1,8,1,7,1,6,1,9,2,16,1,17,1,12,1,13,1,28,6,9,1,12,2,6,2,30,1,6,1,28,25,29,1,14,2,17,1,9,1,24,1,8,1,15,1,11,1,12,1,9,1,6,1,13,1,6,1,13,1,6,2,13,1,8,1,9,2,6,1,28,4,}, {9,1,10,1,8,1,28,1,30,1,28,2,30,2,6,1,8,1,9,1,24,1,13,2,29,2,13,2,9,1,10,1,30,1,28,37,6,1,10,1,8,1,12,1,24,1,15,1,14,1,24,1,6,2,28,1,29,1,6,1,28,1,30,1,24,1,17,1,9,1,24,1,8,1,13,2,8,1,24,1,15,1,24,1,8,1,9,1,10,1,24,1,13,1,29,1,13,1,6,1,7,1,10,1,11,1,12,1,16,1,9,4,16,1,17,10,14,1,16,1,6,1,29,1,28,23,13,1,8,2,24,1,10,1,17,2,9,1,24,1,13,1,8,1,13,2,6,1,9,1,16,1,11,1,9,2,6,1,13,1,8,1,13,1,7,1,8,1,24,1,13,1,8,2,9,3,13,1,29,2,28,1,30,1,28,7,30,1,28,3,8,1,9,1,17,2,16,1,17,4,16,3,17,1,16,4,11,1,16,2,9,1,16,1,9,1,11,1,9,1,11,2,16,1,9,1,11,3,16,4,11,2,16,1,11,2,16,1,9,1,11,3,16,3,9,1,16,2,9,2,16,1,11,1,16,1,11,4,17,1,16,2,11,1,16,7,17,1,11,1,16,3,11,1,16,1,11,1,16,1,9,1,10,2,11,1,9,1,11,1,9,1,11,3,16,2,10,1,11,2,9,6,11,1,9,1,16,1,9,2,10,1,9,2,16,1,13,1,9,3,8,1,13,3,9,1,13,5,6,1,30,1,13,7,7,1,13,3,6,1,13,4,8,1,13,7,9,1,13,2,9,1,13,1,9,3,13,3,9,1,13,4,9,1,8,1,13,1,8,1,9,4,8,1,13,1,8,2,9,3,13,2,9,2,13,1,9,1,8,1,9,1,10,2,11,1,9,2,16,1,9,2,10,1,16,1,8,2,9,1,11,1,13,1,11,1,9,3,11,1,9,1,13,1,9,1,13,2,9,1,8,1,9,2,13,1,9,2,13,1,9,1,13,1,9,1,11,1,9,2,11,3,9,1,11,1,16,1,9,1,11,1,16,1,9,2,11,1,9,2,11,1,16,1,9,1,11,1,9,2,11,1,16,1,9,2,8,1,9,2,10,1,11,1,10,1,16,2,11,1,16,1,11,1,16,1,11,1,16,2,11,2,16,3,11,1,10,2,11,4,16,2,11,2,16,1,11,1,16,1,11,2,16,2,11,1,16,4,11,1,16,1,17,1,11,3,16,1,17,1,16,1,17,5,16,1,17,2,11,1,16,2,17,1,16,1,17,1,16,1,17,23,16,1,11,1,16,4,11,1,16,1,17,1,11,1,16,2,11,1,16,2,10,1,16,1,9,1,11,1,8,1,9,2,8,1,9,1,8,2,9,1,13,1,8,1,9,2,13,1,9,2,24,1,8,1,13,1,9,1,8,1,9,1,10,1,24,1,8,2,9,1,8,2,10,1,17,1,12,1,8,1,12,1,8,1,10,1,9,1,10,2,9,2,24,1,9,3,12,1,9,1,12,1,17,1,29,1,9,2,24,1,10,1,9,1,7,1,24,1,9,1,7,1,13,1,8,1,9,1,8,1,9,1,24,1,8,1,10,1,8,3,24,3,8,1,6,1,24,2,8,2,13,1,8,1,24,1,9,1,8,2,9,1,13,1,8,1,24,1,7,2,13,1,8,2,24,2,8,2,7,1,6,1,9,1,8,1,13,1,24,1,13,1,24,1,8,3,7,1,24,1,10,1,24,3,12,1,9,1,8,1,10,1,8,1,13,1,24,2,13,1,10,1,8,3,10,1,11,1,10,1,8,2,17,1,24,2,9,1,10,1,12,1,10,2,11,1,12,2,11,1,10,1,12,1,9,1,24,1,12,1,10,1,8,1,24,1,9,2,10,1,8,1,9,1,8,1,9,1,10,1,24,1,9,1,8,1,24,1,8,2,24,2,8,1,24,1,12,1,7,1,17,1,8,2,7,1,13,1,6,2,13,1,29,1,13,4,6,1,13,2,7,1,8,1,7,1,8,1,6,1,7,1,29,1,8,1,6,2,29,1,6,1,7,1,6,1,8,1,7,1,6,1,13,1,6,1,30,1,7,1,6,2,30,1,6,1,28,1,29,1,28,8,29,2,30,1,28,97,30,1,29,1,28,5,30,2,29,1,28,2,7,1,6,2,28,1,6,2,30,1,6,2,8,1,13,1,9,1,17,1,11,1,14,1,17,1,9,1,16,1,9,4,8,1,9,2,6,1,9,3,11,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,11,2,9,1,16,1,9,1,16,1,11,2,16,2,11,1,9,1,16,1,9,1,11,1,9,2,11,1,9,1,10,1,8,1,9,3,11,1,9,1,11,1,9,1,16,1,9,1,17,1,16,5,11,2,16,4,11,1,16,3,11,1,16,1,9,1,11,3,16,1,11,2,9,1,10,1,16,1,11,1,9,1,17,1,16,1,9,5,11,1,9,1,11,1,9,2,17,1,11,2,16,1,9,1,11,2,16,1,11,3,16,1,9,4,10,1,9,1,16,4,11,2,9,1,11,3,9,2,11,1,8,1,10,2,9,1,10,1,9,1,11,2,16,1,11,1,10,1,11,2,16,1,11,1,13,2,11,1,16,1,11,1,10,1,11,1,9,1,11,1,9,1,17,1,16,1,10,1,11,1,17,1,16,1,11,1,16,3,11,4,9,1,16,2,8,1,9,1,13,1,9,1,8,1,13,2,6,1,8,1,13,7,6,1,9,1,13,1,8,2,9,1,13,1,8,1,13,1,9,1,13,2,8,1,13,1,9,2,11,1,9,1,11,2,10,1,11,1,9,1,11,6,9,1,10,1,9,1,10,1,9,3,11,1,9,1,11,1,9,3,11,3,9,1,8,1,9,1,13,1,9,4,11,2,10,1,9,1,11,1,9,3,11,1,9,1,13,1,9,2,13,1,9,1,13,4,9,1,13,1,30,1,6,1,30,1,13,1,8,1,30,1,13,1,9,1,13,1,8,1,13,4,9,3,33,86,5,524,28,127,13,1,6,1,28,10,30,1,28,22,30,1,28,12,30,1,28,4,6,1,28,15,30,4,13,1,28,1,13,1,6,1,30,1,28,1,30,1,28,13,33,1,5,146,28,1,13,1,6,1,30,1,6,1,30,1,6,4,28,2,33,4,5,137,33,1,28,9,30,1,6,1,28,1,6,1,30,1,10,1,17,2,9,2,8,1,9,1,7,1,29,1,28,1,30,1,6,1,8,1,24,1,11,1,17,1,12,1,11,1,7,1,28,6,8,1,17,1,10,1,6,1,13,1,6,1,30,1,28,25,29,1,14,1,17,2,9,2,24,1,12,1,17,1,12,1,8,2,6,1,13,1,30,2,13,2,9,3,28,5,}, {9,1,24,1,9,1,29,1,28,2,30,1,29,1,28,1,29,1,8,1,9,1,12,1,6,2,13,1,29,1,6,1,13,1,9,1,24,1,28,38,6,2,7,1,24,2,12,1,14,1,24,1,6,1,13,2,29,1,6,1,30,2,10,1,14,1,12,1,9,1,13,1,24,1,8,1,24,1,10,1,9,1,24,1,8,1,13,1,10,1,8,1,13,2,6,1,29,1,13,1,12,2,16,2,11,1,9,3,10,1,17,11,16,1,30,2,28,8,30,1,28,13,30,1,6,1,13,1,8,2,24,1,17,2,10,1,24,1,13,3,30,1,29,1,9,1,14,1,16,1,10,1,24,1,13,4,8,2,13,2,10,1,8,1,9,1,11,1,17,1,13,1,6,1,28,2,30,3,28,4,30,1,28,4,13,1,9,1,17,4,16,1,17,1,16,2,17,1,16,3,11,1,16,3,11,1,16,1,11,1,16,1,9,1,16,2,11,3,16,1,11,1,16,1,9,1,16,2,17,2,11,1,16,3,9,1,11,1,16,4,11,1,16,1,10,1,16,3,11,2,16,1,9,1,11,1,17,1,16,1,11,2,17,1,10,1,16,5,11,1,16,6,11,3,16,1,11,1,9,1,11,2,16,3,11,1,9,1,11,1,16,1,11,3,10,1,11,1,9,4,13,1,9,1,11,1,9,1,11,2,9,3,8,1,13,1,9,1,11,1,13,1,9,2,8,2,13,3,8,1,9,1,13,1,9,1,13,1,8,1,10,1,13,1,9,1,13,3,9,1,13,2,9,1,6,1,13,2,9,1,8,2,13,5,9,2,10,1,13,1,9,2,7,1,13,3,8,1,13,1,9,2,8,3,13,1,9,1,13,1,8,1,9,2,13,1,9,1,13,1,9,5,8,1,9,3,8,1,9,1,13,1,9,2,11,1,9,1,11,1,8,1,9,3,10,1,9,1,8,3,9,3,8,1,9,1,8,1,9,1,13,1,9,3,13,1,9,9,11,1,9,2,11,2,9,2,11,3,9,1,11,2,9,2,16,1,9,1,11,3,17,1,11,1,9,1,11,1,9,6,8,1,9,2,10,1,9,1,10,1,16,1,11,1,16,4,11,2,16,1,11,1,16,2,11,2,16,1,11,1,16,4,11,2,10,1,16,2,11,1,16,8,17,1,16,2,11,2,16,2,17,1,16,2,17,2,16,1,17,1,16,1,17,4,16,1,17,9,16,1,17,5,16,1,17,19,11,1,17,3,16,1,17,1,16,1,9,1,11,4,9,1,17,1,11,1,9,1,8,1,17,1,9,1,12,1,16,1,8,1,16,1,10,1,16,1,10,1,11,1,9,1,13,1,24,1,9,1,8,2,9,1,12,1,9,2,8,1,9,1,10,1,17,2,9,1,12,1,16,2,8,1,12,1,10,1,12,2,9,1,8,1,9,1,12,2,9,1,11,1,9,1,12,1,17,1,9,1,17,1,9,1,10,1,9,2,10,1,8,1,9,1,24,2,13,1,24,1,8,1,9,2,12,1,24,1,8,1,9,1,8,1,9,2,8,1,10,1,24,1,8,2,24,2,8,2,24,1,9,1,10,1,8,1,10,1,13,1,24,2,8,1,24,2,8,1,9,1,13,1,10,1,24,1,9,1,24,1,8,1,9,1,12,1,24,1,10,1,17,1,13,1,24,1,8,1,10,1,13,1,24,2,8,4,12,1,8,3,10,1,8,1,17,1,8,1,9,1,10,1,8,3,10,1,13,1,9,2,8,1,9,1,12,1,9,2,11,1,16,1,9,1,10,1,11,1,17,2,16,1,17,1,11,1,17,1,16,1,11,1,24,1,9,2,11,1,9,2,11,1,8,1,12,1,10,1,12,2,17,1,24,3,8,2,24,1,9,1,13,1,24,1,8,1,12,1,24,1,7,1,9,1,24,1,8,1,13,1,6,1,13,1,6,1,7,2,13,2,30,1,8,2,13,2,7,2,13,1,8,1,24,1,30,1,6,1,7,1,6,3,7,1,8,1,29,1,13,1,7,1,29,1,8,1,6,1,29,2,6,1,30,1,28,1,6,1,30,1,29,1,28,1,30,1,28,3,30,1,28,1,29,1,28,108,29,1,30,2,29,1,13,1,28,1,29,2,28,1,13,1,29,1,30,1,13,1,30,1,7,1,12,1,24,1,7,1,11,1,10,1,11,1,16,1,17,1,16,1,11,1,16,1,9,3,11,1,9,2,13,1,9,3,16,2,9,3,8,1,11,1,9,4,11,1,9,1,16,1,8,1,16,1,9,1,8,1,16,1,11,1,9,1,11,1,9,1,16,1,11,1,16,2,11,1,9,3,16,1,11,2,13,1,9,3,10,1,9,1,11,1,9,1,16,1,10,1,16,3,11,1,9,2,11,2,9,1,16,2,11,2,16,1,11,1,9,2,16,1,9,1,16,1,11,2,16,1,9,1,16,1,9,1,11,1,9,2,11,1,10,1,11,3,10,1,11,1,16,1,11,1,9,1,16,1,9,1,10,1,9,4,10,1,16,2,9,1,16,1,9,1,11,2,16,3,9,1,16,1,11,1,17,1,10,1,16,1,17,1,11,1,17,1,9,1,16,1,9,4,11,2,10,1,9,3,16,1,17,1,16,1,11,1,9,1,11,1,9,1,11,2,9,1,11,2,13,1,9,1,11,2,16,8,17,1,16,1,11,1,16,1,11,4,10,1,11,2,13,2,8,1,7,1,8,1,13,6,6,1,9,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,9,3,16,1,9,1,11,1,9,2,11,3,9,1,11,1,9,3,11,1,10,1,11,1,8,1,11,1,16,1,9,1,13,2,9,1,11,1,13,1,9,2,8,1,13,2,11,2,9,1,10,1,9,4,10,1,9,1,11,1,9,6,13,1,8,1,9,2,13,1,9,3,13,5,6,1,8,1,9,1,13,8,9,1,13,2,5,1,33,86,5,524,33,1,28,103,30,1,28,2,30,1,28,21,30,1,28,1,30,1,28,8,6,1,30,1,28,1,30,1,28,53,6,1,28,1,30,2,13,1,6,1,30,2,28,16,5,146,6,1,13,1,6,1,30,1,6,1,28,1,6,2,28,3,33,4,5,137,33,1,28,9,30,2,29,1,6,1,30,1,11,1,17,2,9,2,13,1,24,1,7,1,30,1,29,1,30,1,13,2,10,1,12,2,17,1,11,1,13,1,28,6,9,1,17,1,10,1,13,1,7,1,29,2,28,25,6,1,14,2,12,1,13,1,9,1,8,1,17,1,16,1,9,1,24,1,13,1,8,1,13,1,6,1,30,1,28,2,24,3,28,5,}, {8,1,15,1,8,1,29,2,30,1,6,1,28,2,30,1,13,1,24,1,15,1,6,1,30,1,6,2,13,2,24,1,8,1,29,1,28,37,6,1,8,1,12,1,9,1,12,1,10,1,14,1,15,1,13,1,29,2,6,1,29,1,28,1,30,1,8,1,15,1,9,1,12,1,8,3,24,1,13,1,10,1,11,1,13,1,9,1,12,1,15,1,13,1,30,1,7,2,6,1,12,1,17,3,12,2,11,2,12,1,17,11,9,1,29,1,30,1,28,9,30,1,28,14,9,1,10,1,12,1,8,1,17,3,8,1,13,1,6,1,13,1,6,1,29,1,24,1,16,1,17,1,10,1,11,2,8,1,13,3,8,1,7,1,13,1,9,1,13,1,9,2,17,1,10,1,30,1,28,4,30,1,28,9,13,1,12,1,17,7,16,6,11,1,17,1,16,1,11,1,16,7,11,1,16,1,11,1,16,1,11,1,16,5,17,1,16,2,11,1,16,3,11,1,16,5,11,2,17,1,16,1,11,1,16,5,17,3,16,1,11,1,16,1,17,1,16,2,11,2,16,4,9,1,16,1,17,1,11,2,16,2,9,1,16,2,9,1,11,1,17,1,11,1,16,1,9,1,16,1,9,2,11,1,17,1,9,1,11,1,8,1,11,1,9,5,16,1,11,1,16,1,11,2,9,1,11,2,9,4,8,1,9,1,13,2,9,2,8,1,13,1,9,2,13,1,9,1,13,6,8,2,9,4,13,1,9,2,13,4,9,1,13,3,9,2,13,3,9,1,13,2,9,1,13,1,9,1,13,1,9,1,6,1,9,1,10,1,8,1,9,1,11,1,9,10,11,1,9,2,10,1,13,1,10,1,9,3,13,1,9,5,13,1,8,1,9,3,8,1,9,1,13,3,9,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,10,1,11,1,9,4,11,1,9,2,11,6,17,1,9,1,11,1,16,1,11,2,9,2,11,2,9,2,11,2,9,2,8,2,9,1,13,1,10,1,11,1,9,2,10,1,16,2,11,1,16,2,10,1,16,4,11,1,16,1,11,2,17,3,16,1,17,1,16,4,11,2,16,1,17,1,16,4,17,3,16,1,17,1,11,1,16,2,17,1,16,2,17,6,16,1,17,3,16,2,17,8,16,1,17,1,16,1,17,8,16,2,17,1,16,1,17,4,16,4,17,16,11,1,16,1,17,1,16,2,17,1,16,1,12,1,17,1,9,1,11,1,10,1,11,1,9,1,12,1,7,1,24,1,8,1,10,1,9,1,16,1,9,1,17,1,10,1,24,1,10,1,12,1,17,1,24,1,12,1,24,1,10,1,9,1,16,1,9,2,17,1,11,1,12,1,24,1,9,1,16,1,10,2,12,1,10,1,12,1,9,1,17,3,12,1,8,1,17,1,9,1,17,2,9,3,8,1,9,1,13,1,9,1,10,1,8,1,10,1,9,1,11,1,9,2,8,1,24,1,9,1,10,1,12,1,9,1,8,1,24,1,9,1,8,1,24,1,8,3,13,1,9,1,8,1,13,2,9,1,24,1,9,1,12,1,8,1,12,1,8,1,24,1,12,1,24,1,13,1,9,2,12,1,9,1,12,1,24,3,12,2,9,1,8,3,12,1,9,1,13,1,24,1,9,3,12,1,9,2,10,2,11,1,12,1,10,1,9,2,10,1,17,1,11,1,12,1,17,3,9,1,17,4,16,1,17,4,16,2,17,2,12,1,11,1,17,1,12,2,11,2,10,1,16,1,8,1,17,1,10,1,9,1,16,1,24,2,17,1,8,2,9,1,8,2,9,1,24,1,10,1,8,1,9,1,6,2,24,1,13,2,7,1,13,1,7,1,6,1,7,2,29,2,30,1,6,1,7,1,13,1,7,1,29,1,7,1,29,1,7,1,6,1,7,2,29,1,6,1,24,1,6,1,29,1,7,1,13,1,6,3,29,1,30,2,28,1,6,1,30,1,29,2,28,6,30,1,28,114,30,2,6,2,29,1,30,1,6,1,30,1,29,2,13,1,9,2,8,1,11,1,13,1,16,2,11,3,9,1,11,1,9,2,11,1,16,1,9,5,11,1,13,1,11,1,9,2,11,1,9,3,11,1,16,1,11,2,9,2,11,1,9,8,16,4,10,1,9,3,10,1,11,1,9,1,16,1,9,1,16,1,10,1,9,1,16,8,11,1,16,2,9,2,11,1,16,1,9,1,11,1,17,1,11,1,17,1,16,2,11,2,10,1,11,2,9,2,11,1,9,2,10,1,9,4,11,1,8,1,11,1,9,1,11,1,9,2,11,1,9,2,16,1,9,1,11,1,10,1,11,1,9,3,10,1,11,1,9,1,16,1,11,1,10,1,11,2,16,1,9,2,11,1,17,1,11,3,9,3,11,1,9,1,11,3,16,1,11,1,17,1,9,1,11,2,17,1,9,1,11,1,16,1,11,3,9,1,11,1,16,1,10,1,17,1,11,1,10,1,11,2,16,2,11,1,16,1,11,1,16,1,11,1,9,1,10,1,16,1,10,1,11,2,16,1,8,1,13,1,8,2,13,2,8,1,13,2,9,2,13,7,9,1,13,2,8,1,13,1,8,1,13,2,9,5,11,1,9,2,11,3,8,1,11,1,9,1,11,1,9,1,11,1,9,2,8,1,13,2,9,4,13,1,6,1,13,2,9,1,8,2,9,4,11,1,9,3,11,1,9,1,11,1,9,2,11,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,13,3,6,1,13,1,8,1,13,3,9,1,13,5,9,3,33,88,5,524,33,1,28,95,30,1,6,1,28,1,30,1,28,1,30,1,28,2,6,1,28,1,6,1,28,6,30,1,28,18,30,1,6,1,30,1,6,1,28,3,6,3,30,1,28,6,6,1,28,18,30,1,28,30,30,2,6,1,13,1,6,2,30,1,28,14,6,1,5,144,13,1,28,1,6,3,30,1,28,4,30,1,33,4,5,137,33,1,28,7,30,1,28,1,29,1,6,3,30,1,10,1,12,1,17,1,9,1,13,1,10,1,13,2,30,1,29,1,7,1,6,1,13,1,24,1,11,1,17,3,13,1,28,6,8,1,17,1,9,1,6,3,13,1,30,1,28,24,13,1,14,1,16,1,9,2,24,1,8,1,10,1,9,2,24,1,13,1,8,1,7,1,29,3,6,1,8,1,24,1,8,1,28,5,}, {13,1,12,1,9,1,6,1,30,1,28,1,29,1,28,3,13,1,10,1,24,1,6,2,13,1,6,2,7,1,24,1,7,1,6,1,28,37,29,1,24,2,10,1,24,1,15,2,10,1,13,1,6,3,29,1,6,1,28,1,13,1,15,1,12,1,9,1,24,1,29,1,8,2,24,1,9,2,13,1,8,1,12,1,14,1,13,1,30,1,29,1,6,2,10,1,17,2,16,1,17,1,11,1,17,3,12,1,17,10,16,1,30,2,28,6,30,1,28,4,30,1,28,3,30,1,28,7,7,1,24,1,9,3,17,3,8,1,13,1,29,1,6,2,7,1,9,1,17,2,11,1,9,1,10,1,8,1,24,2,13,1,8,1,13,2,8,1,13,1,24,1,10,1,16,1,9,1,28,3,29,1,28,3,30,1,28,7,6,1,11,1,17,6,16,1,17,1,16,3,11,1,17,1,16,3,17,2,16,3,11,1,16,7,11,1,16,1,17,1,16,1,17,1,16,2,11,1,16,1,17,1,16,5,17,1,16,3,11,1,16,1,17,1,11,1,17,1,16,2,17,3,11,1,16,1,17,2,16,8,17,1,11,1,16,1,17,1,16,2,11,3,16,3,11,3,16,3,10,1,11,5,9,1,11,4,9,1,11,1,10,1,11,3,9,1,10,1,11,2,9,2,11,1,9,2,13,1,9,1,13,1,8,1,13,2,9,2,13,1,9,1,13,3,8,2,13,1,7,1,13,3,9,1,13,1,9,3,13,1,9,1,8,2,13,2,6,1,8,1,13,6,8,2,9,1,8,2,9,1,13,1,9,5,10,1,8,1,11,1,13,1,8,1,9,5,10,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,9,7,8,1,10,1,9,3,13,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,11,1,9,4,8,1,9,9,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,2,11,3,9,2,10,1,9,1,11,1,9,6,8,1,9,2,11,1,9,4,10,1,11,1,10,1,11,2,16,1,17,1,16,4,17,7,16,1,17,2,16,2,17,2,16,1,17,1,11,1,16,1,17,1,16,1,11,1,17,1,16,1,17,1,16,1,17,1,16,2,17,8,16,1,17,26,16,3,17,1,16,3,17,2,16,5,11,1,16,4,17,18,16,1,11,1,16,1,11,1,9,1,11,2,17,3,12,1,16,2,9,1,11,1,16,1,11,1,16,2,17,2,12,1,16,1,11,3,12,1,11,2,9,1,10,2,12,2,10,1,16,1,8,1,11,1,9,1,12,1,11,1,12,2,17,2,9,1,17,1,12,1,17,1,8,1,9,1,8,2,24,1,9,2,17,1,9,1,10,1,9,1,12,1,8,1,9,1,11,1,10,1,11,1,12,1,9,1,24,1,10,2,24,1,11,1,24,1,9,1,24,1,9,1,10,1,12,1,9,1,8,1,9,2,8,1,9,2,17,1,8,1,13,1,8,1,13,1,12,1,8,1,10,1,9,2,11,1,12,1,24,2,7,1,24,3,12,1,24,1,9,1,13,1,24,1,12,1,13,1,9,1,24,1,9,1,10,1,17,1,10,1,17,1,16,1,12,1,17,1,16,1,11,2,17,26,16,1,17,2,16,1,17,1,16,1,17,1,9,1,12,1,11,1,6,1,10,1,9,1,24,1,9,1,24,1,17,1,24,2,9,1,8,1,9,1,24,1,7,1,8,1,6,1,13,1,7,1,13,1,8,1,13,1,30,1,6,1,7,1,13,1,8,1,29,1,6,1,29,1,8,1,7,1,6,1,7,2,13,1,7,1,6,3,30,1,6,1,7,1,6,3,30,1,29,1,6,1,13,1,6,1,29,1,28,1,6,1,28,1,6,1,29,3,28,1,30,1,28,111,30,1,28,1,30,1,6,1,29,1,28,2,30,1,28,1,7,1,29,1,28,1,13,1,29,2,28,1,8,1,7,2,8,1,9,1,10,1,11,1,16,6,11,2,9,6,11,1,16,1,13,1,9,3,16,4,11,1,16,1,11,1,17,1,11,3,9,1,16,1,9,1,16,1,9,3,11,1,10,1,9,3,11,1,9,1,11,1,9,1,11,2,16,1,9,1,11,2,16,4,11,1,16,1,9,1,16,1,9,1,11,1,16,1,9,2,11,1,16,4,9,1,16,1,9,2,10,1,16,1,9,2,11,1,16,1,11,1,9,3,11,1,9,1,11,1,8,1,11,3,9,2,11,1,10,1,11,2,16,1,9,1,16,1,9,1,11,1,9,1,11,2,9,1,11,1,9,2,16,3,9,1,16,1,17,1,11,2,16,1,8,1,10,1,11,2,16,2,11,1,16,1,9,2,11,1,16,2,9,1,11,1,9,1,11,1,9,1,10,1,11,1,16,1,9,1,11,1,16,2,9,1,11,1,17,1,9,1,11,1,17,2,11,2,16,1,9,1,16,1,11,1,17,1,11,1,16,1,11,1,16,1,9,1,10,1,11,1,16,1,11,1,16,1,11,1,9,1,8,1,9,5,8,1,13,2,9,1,13,3,9,1,13,1,8,1,9,3,11,1,13,1,9,6,10,1,11,1,9,1,11,1,9,1,11,1,13,1,9,1,16,1,9,2,11,2,9,1,11,1,9,4,8,1,9,1,8,1,9,1,13,6,9,2,11,1,9,2,11,1,9,7,11,1,9,1,11,1,13,1,11,1,9,1,13,2,9,1,13,4,8,2,9,2,13,2,7,1,13,1,9,1,13,4,9,1,13,5,9,1,13,1,33,89,5,525,6,1,28,89,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,3,6,1,28,1,30,1,28,3,30,2,13,1,28,23,6,1,30,1,13,1,30,1,13,1,30,2,13,1,6,1,28,3,30,1,28,49,6,1,30,1,6,1,13,1,30,3,28,5,6,1,28,10,30,1,5,143,28,2,13,1,28,6,33,5,5,137,33,1,28,7,30,3,6,2,29,1,7,1,8,1,17,1,10,1,8,2,9,1,8,1,6,1,13,1,28,1,13,2,9,2,12,1,11,1,12,2,28,7,13,1,17,1,24,1,6,1,7,2,6,1,28,1,30,1,28,23,6,1,14,2,9,1,8,1,9,1,10,1,9,3,13,3,7,1,29,1,6,1,29,1,6,1,8,1,12,1,8,1,28,5,}, {24,1,14,1,24,1,13,1,6,1,29,2,28,2,30,1,29,1,15,1,10,1,8,1,7,1,28,1,29,2,6,1,9,1,6,1,29,1,28,36,30,1,29,1,8,2,24,1,8,1,12,1,15,2,13,1,6,1,7,1,30,2,29,1,28,1,7,1,15,2,10,1,8,1,13,1,8,1,11,1,15,1,8,1,12,1,7,1,8,1,12,1,10,1,13,1,6,3,7,1,15,1,17,1,14,1,17,2,16,1,12,1,17,13,16,1,29,1,28,13,30,1,28,10,29,1,8,1,24,1,9,2,17,1,12,1,9,1,8,1,13,1,29,1,7,1,6,2,8,1,17,1,10,1,11,1,16,1,9,1,8,1,13,1,24,1,9,1,6,1,13,2,7,1,13,1,8,1,24,1,12,1,8,1,6,1,28,1,30,1,28,3,30,1,28,8,9,2,17,6,16,2,17,1,16,4,17,1,16,2,17,1,16,1,17,1,11,1,16,1,11,2,16,5,17,1,16,1,11,1,16,1,11,1,17,1,16,3,17,1,11,1,16,1,11,2,16,6,17,1,11,1,17,1,11,1,17,1,11,1,16,1,17,2,16,4,11,1,16,10,17,1,11,1,16,1,11,1,16,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,16,2,11,1,16,2,9,1,11,1,16,2,11,1,9,1,11,3,10,1,9,1,11,1,9,1,10,1,9,2,11,2,9,5,13,1,9,1,7,1,13,1,9,1,8,2,13,3,8,1,13,1,9,1,13,2,9,1,8,1,9,1,13,2,9,1,8,1,13,1,9,1,13,2,9,2,8,1,13,5,7,1,9,1,13,1,8,1,13,3,9,3,10,1,13,1,9,1,11,1,9,2,8,1,9,1,11,2,9,4,11,1,9,2,11,1,10,1,9,3,13,1,9,2,8,1,13,1,9,3,13,1,9,1,8,1,9,1,13,1,9,3,13,2,9,1,13,1,9,1,10,1,8,1,13,1,9,2,13,1,9,4,10,1,9,2,10,1,11,1,10,1,9,5,11,1,9,4,11,1,9,2,11,1,9,1,11,5,9,1,13,2,9,3,11,1,9,1,11,2,9,2,11,1,10,1,11,4,16,1,17,1,16,5,11,1,17,3,16,1,17,5,16,1,17,4,16,1,17,2,16,2,17,4,16,1,17,10,16,1,17,1,16,1,17,12,16,3,9,1,16,2,17,1,16,3,17,1,16,2,17,1,16,1,17,3,16,2,17,2,16,1,11,2,16,2,11,1,16,2,11,1,16,6,17,21,16,1,17,1,16,2,17,9,16,1,17,1,11,1,17,5,16,4,12,1,17,1,9,1,16,1,11,1,16,2,17,1,9,2,17,2,12,1,9,1,10,1,9,1,16,1,24,1,9,1,16,1,9,1,8,1,9,1,12,1,11,1,17,1,11,1,9,1,8,1,10,1,11,2,8,1,17,1,12,1,8,1,24,1,11,1,10,2,8,1,12,1,9,2,24,1,10,3,12,1,9,1,12,1,8,1,9,2,13,1,8,1,9,1,12,1,10,1,8,1,13,1,9,1,8,1,11,1,8,1,13,1,9,2,11,1,7,1,13,1,11,1,8,1,9,1,16,2,17,4,12,1,17,1,12,1,17,3,11,1,17,3,11,1,17,1,9,1,16,1,9,1,17,9,16,1,17,3,16,1,17,13,16,1,17,1,11,1,16,1,9,1,8,1,9,1,8,1,11,1,12,2,10,1,8,1,24,1,9,1,13,1,24,1,13,1,12,1,8,1,24,1,13,1,6,1,8,2,6,1,13,2,8,1,24,1,29,1,6,2,13,1,7,1,6,1,30,1,7,2,13,1,7,2,6,4,7,1,29,1,8,1,29,1,6,1,28,1,30,1,6,1,30,1,6,4,28,2,6,1,28,115,30,1,29,1,28,4,30,1,6,1,28,1,29,1,6,1,13,1,6,2,30,2,6,1,13,1,8,1,9,1,11,1,9,1,8,1,9,1,11,1,17,3,16,1,11,2,13,1,9,1,16,2,9,7,11,1,9,1,16,2,9,1,11,1,16,1,9,1,11,1,8,1,9,1,16,1,9,1,11,4,16,1,9,1,16,1,11,4,9,1,11,2,9,2,16,3,11,1,9,3,11,3,16,1,9,1,16,2,11,2,9,2,16,3,9,1,16,1,11,3,16,1,9,1,11,1,17,1,9,1,11,3,13,1,9,1,8,1,9,1,11,1,9,1,10,1,16,1,9,1,11,1,8,1,9,3,11,2,9,2,11,2,9,1,16,2,9,3,16,1,11,1,16,1,11,1,16,1,11,1,9,2,11,2,17,1,16,2,17,1,11,1,17,1,16,2,10,1,16,1,9,3,11,1,9,1,17,1,16,1,9,1,11,2,17,1,10,1,17,2,11,1,16,1,11,1,17,1,11,1,16,1,9,1,11,1,16,1,11,4,16,1,11,1,17,1,9,1,17,1,11,1,9,1,11,2,17,2,16,1,9,1,13,1,8,1,9,4,13,1,9,4,8,1,9,6,16,1,9,1,16,1,17,1,10,1,16,1,9,1,11,1,16,1,11,2,9,1,16,1,11,2,9,2,11,1,9,2,16,1,9,1,16,1,9,2,11,1,9,4,13,2,11,1,9,3,13,2,8,1,9,2,8,1,13,1,8,1,13,1,9,1,13,1,11,1,9,4,10,1,9,2,13,1,9,1,10,1,9,1,8,1,13,1,9,1,13,1,8,1,13,4,30,1,13,2,6,1,13,4,9,3,13,1,9,1,13,3,9,1,13,1,33,91,5,523,33,2,28,94,30,2,28,2,6,1,30,1,29,1,28,2,30,1,28,5,6,1,28,25,30,1,6,4,28,1,30,1,28,1,30,3,28,18,30,1,28,3,30,1,28,27,30,1,13,1,28,1,13,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,28,11,13,1,5,143,28,1,30,1,28,6,33,4,5,138,33,1,28,9,6,1,30,1,6,3,9,1,17,1,12,1,24,1,9,1,13,1,8,1,6,1,29,1,6,1,13,1,8,1,24,1,12,3,17,1,11,1,13,1,28,6,9,1,17,1,24,1,13,1,6,1,13,1,29,1,30,1,28,24,24,1,14,1,16,1,24,1,13,1,24,2,8,1,10,1,8,2,13,1,7,1,13,1,6,1,7,1,6,2,8,1,9,1,13,1,28,5,}, {24,1,15,1,10,1,7,1,28,1,6,1,30,1,28,1,30,1,28,1,6,1,9,1,24,2,30,1,7,1,29,1,6,1,29,1,13,2,28,37,30,2,8,2,11,1,9,2,14,1,12,1,6,3,29,1,6,1,30,2,29,1,14,1,15,1,9,1,13,1,6,1,8,3,9,2,6,1,8,1,12,1,17,1,13,1,29,1,6,1,13,1,28,1,9,1,17,2,16,1,12,1,16,1,11,1,12,1,17,12,16,1,29,1,28,3,30,1,28,18,30,1,28,1,7,1,13,1,8,1,9,1,10,1,17,2,10,1,13,2,6,1,29,1,6,1,29,1,8,1,11,1,16,1,17,1,11,1,9,2,13,1,9,1,13,1,8,1,6,1,8,1,24,1,8,1,24,1,9,1,12,1,13,1,6,1,28,1,30,1,28,3,30,1,28,8,13,1,10,1,17,5,16,1,17,1,16,1,17,1,16,1,17,1,16,4,17,1,16,4,11,1,16,6,17,1,11,1,16,1,11,1,17,1,16,2,17,1,16,1,11,1,17,1,11,2,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,5,17,2,11,1,16,4,17,3,16,4,17,1,16,3,11,1,9,1,11,1,17,1,11,3,9,1,11,1,9,1,11,5,16,1,11,1,16,1,10,1,11,1,17,1,16,2,11,1,9,1,11,2,9,2,11,1,9,1,16,1,13,1,9,4,11,1,13,1,10,1,9,1,8,2,9,1,13,2,9,1,13,4,9,2,13,1,7,1,8,1,13,1,8,1,13,2,9,1,13,2,8,1,9,1,13,1,9,2,13,3,6,1,13,1,6,1,13,4,8,1,6,1,13,2,9,1,8,1,9,2,11,1,8,1,11,1,13,1,9,4,11,1,9,2,11,1,9,2,13,1,9,2,13,2,9,1,13,2,8,1,9,5,13,1,8,1,11,1,9,2,13,1,8,1,13,1,9,3,10,1,9,16,11,1,9,2,8,1,9,4,11,1,8,1,10,1,9,1,11,1,9,1,11,2,10,1,11,1,16,1,11,4,16,1,9,5,11,1,9,2,11,2,9,1,16,1,11,4,9,1,16,1,11,1,17,1,16,1,17,1,16,2,17,2,16,2,17,7,16,1,17,2,16,1,17,19,16,1,17,7,16,1,11,1,17,1,16,1,17,1,11,2,16,1,11,2,9,1,11,2,16,2,11,2,16,3,11,1,16,1,17,4,16,1,17,2,16,2,17,1,16,7,11,1,16,7,11,1,16,1,17,14,16,1,17,1,16,2,17,1,16,1,17,3,16,1,17,23,16,1,17,1,11,1,17,2,11,1,12,1,10,1,9,1,12,1,10,1,9,1,12,1,11,1,12,1,11,1,9,2,10,1,11,1,17,1,9,1,12,1,9,1,17,1,9,1,12,1,11,1,16,1,17,2,9,1,8,1,17,1,9,1,11,1,10,1,17,1,9,2,11,1,10,1,24,1,11,1,8,1,9,3,13,1,9,4,8,1,11,1,8,1,16,2,9,1,16,1,11,1,8,1,13,2,9,2,8,1,9,1,8,1,9,1,8,1,9,1,8,2,11,1,10,1,13,1,10,1,9,1,10,1,11,2,9,1,16,1,10,2,11,2,16,1,11,1,17,3,16,5,17,3,16,1,17,1,16,1,17,2,16,1,17,1,16,1,11,1,16,1,17,10,16,1,10,1,9,1,10,1,8,1,9,1,17,1,11,1,9,3,8,3,24,1,8,2,6,1,7,1,13,1,8,1,7,1,8,2,6,1,8,1,6,1,13,1,8,2,13,1,29,2,30,1,6,2,29,1,6,1,13,1,7,1,29,1,8,1,13,1,6,1,13,1,6,2,29,1,6,1,30,1,29,1,6,1,7,1,29,1,6,1,30,2,6,2,28,115,30,1,29,1,28,5,30,1,28,1,6,1,29,1,6,1,30,1,6,4,28,1,6,1,13,1,6,1,8,1,9,1,8,1,11,3,9,1,16,1,11,1,17,1,16,1,17,1,11,1,17,1,16,1,11,1,9,1,16,1,9,1,11,2,8,1,11,3,9,1,16,1,9,1,16,1,9,1,11,2,8,1,16,1,9,2,16,1,9,2,10,1,11,1,16,1,11,1,9,1,16,1,9,1,16,1,9,1,11,1,16,3,17,1,16,1,9,1,11,1,9,2,16,1,9,1,16,2,11,1,16,2,11,1,9,1,11,1,9,1,11,2,16,2,10,1,16,1,9,1,16,2,9,1,10,1,9,1,16,1,9,1,11,2,13,1,16,1,8,1,11,1,17,1,10,1,9,2,11,1,9,3,10,1,9,4,11,2,9,1,11,2,9,2,10,1,11,1,16,2,9,1,11,1,17,1,11,1,10,1,17,1,16,2,9,1,16,1,9,2,16,2,11,1,10,1,11,1,9,1,11,2,9,3,11,1,10,1,16,1,17,4,16,2,17,3,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,11,1,16,1,11,1,16,1,11,1,16,2,17,1,9,2,16,1,9,1,8,1,13,1,8,2,13,1,9,1,8,1,13,1,9,3,8,1,9,3,13,1,9,2,11,1,10,1,9,1,10,1,9,1,16,1,11,3,16,4,11,1,16,1,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,9,1,13,1,8,1,9,2,11,1,9,2,11,1,9,4,13,1,7,1,9,2,13,2,9,4,11,1,10,1,8,1,9,2,11,1,9,2,13,1,9,1,13,3,8,1,13,4,7,1,13,4,6,1,13,2,8,1,13,1,8,1,9,4,13,4,33,91,5,528,33,3,6,1,28,89,30,1,28,2,6,1,28,2,30,1,28,2,30,1,6,1,28,2,6,1,30,1,28,28,13,1,30,1,6,4,13,3,28,7,30,1,28,3,30,1,28,4,30,1,28,34,6,1,13,1,6,2,30,1,28,1,30,1,28,1,30,2,28,12,5,142,30,1,28,1,30,1,6,1,28,3,5,1,33,3,5,138,33,1,28,7,30,1,6,1,30,1,29,1,6,2,8,1,11,1,17,2,12,1,8,3,6,1,30,1,29,1,13,1,9,1,8,1,9,1,12,1,9,1,12,1,10,1,13,1,28,6,11,1,16,1,13,1,7,1,6,1,13,1,30,3,28,23,12,1,17,2,12,1,8,1,13,1,10,1,12,1,10,1,13,2,7,1,13,1,6,2,29,2,28,1,24,2,10,1,28,5,}, {10,1,15,1,10,1,7,1,28,6,7,1,24,1,9,1,8,1,6,1,13,1,7,1,6,2,8,1,24,1,28,38,30,1,24,1,9,1,10,1,11,1,24,1,17,1,12,1,13,1,6,1,30,1,6,1,29,1,30,2,7,1,14,1,9,1,24,1,8,2,13,1,8,1,24,1,10,1,13,3,9,1,10,1,13,2,6,2,13,1,12,1,17,1,12,1,17,3,12,1,9,1,17,1,16,1,17,10,16,1,7,1,28,2,30,1,28,21,6,1,13,1,8,1,9,1,12,1,17,2,9,1,24,1,6,5,8,1,16,1,17,1,16,1,17,1,16,1,8,1,9,1,8,1,13,4,8,2,24,1,8,1,9,1,24,1,29,1,28,7,29,1,28,6,9,1,11,1,17,7,16,4,17,1,16,4,11,1,16,2,17,1,16,6,11,1,16,2,11,1,16,1,11,1,16,4,17,1,9,1,17,1,16,1,17,1,11,1,16,4,17,1,16,2,17,1,16,1,17,1,16,3,17,1,16,1,11,1,16,1,17,2,16,1,11,1,16,4,17,1,11,2,16,1,11,1,16,2,10,1,16,2,11,1,9,1,11,4,9,1,16,1,11,1,16,2,11,2,16,2,11,2,16,1,11,1,8,1,11,1,9,1,11,5,9,3,8,1,11,1,8,1,9,1,13,1,9,3,13,3,8,1,13,4,9,2,13,2,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,4,9,1,13,1,8,1,13,2,8,2,6,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,5,11,1,9,1,13,2,9,3,11,1,9,1,8,1,9,2,11,1,9,1,13,1,11,1,13,1,9,3,8,1,9,1,13,1,8,1,9,1,13,1,9,3,8,1,13,1,8,1,9,4,13,1,9,1,8,1,9,1,13,1,9,4,11,1,8,2,9,1,11,1,9,1,10,1,11,1,9,2,11,1,9,1,10,1,9,3,13,1,8,1,11,1,9,4,11,2,9,1,16,1,13,1,9,3,16,1,11,1,16,1,9,2,11,1,9,2,11,1,9,1,17,1,9,1,11,4,16,1,9,1,16,1,17,1,16,4,17,3,16,1,17,1,16,1,17,8,16,2,17,19,16,1,17,1,16,2,11,1,16,2,10,1,16,1,11,2,16,1,11,2,10,1,11,1,10,2,11,1,9,2,10,1,11,6,16,1,11,1,16,2,11,1,10,1,9,1,16,1,17,3,16,2,17,1,16,6,11,1,16,6,11,1,16,2,11,1,16,1,17,1,11,1,17,1,11,1,16,3,11,1,17,4,16,1,17,3,16,1,17,1,16,1,17,3,16,1,17,3,16,2,17,6,16,1,17,2,16,2,17,14,16,3,17,1,16,1,9,1,17,1,16,1,11,3,10,2,12,1,9,1,12,1,10,1,12,1,8,1,9,1,11,1,9,1,12,1,10,1,12,1,17,1,11,1,8,1,17,1,11,1,16,1,17,1,12,2,16,1,17,2,11,1,9,2,11,1,9,1,11,1,9,2,11,2,17,1,16,1,11,1,17,1,16,1,17,2,9,3,8,1,9,2,8,3,9,1,12,1,8,1,11,1,9,1,16,1,9,1,11,1,16,1,11,1,16,2,17,4,16,2,11,3,17,1,11,3,16,3,11,1,16,6,17,1,11,1,17,1,16,2,11,3,16,1,17,7,11,1,17,1,11,1,16,1,9,1,17,2,9,1,10,1,9,2,10,1,24,1,13,2,8,2,13,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,24,1,29,1,24,1,13,2,6,1,13,1,6,1,13,1,7,1,29,1,6,1,8,1,13,4,7,1,29,2,7,1,13,1,29,1,6,2,30,1,6,1,29,2,6,1,7,1,28,63,30,1,28,54,30,1,28,4,30,1,28,3,30,1,28,2,29,1,6,3,13,1,7,1,30,1,6,1,29,1,13,1,8,1,7,1,8,2,13,1,8,1,16,1,10,1,17,2,16,2,17,1,16,1,17,1,11,1,17,1,16,2,10,1,16,1,11,2,9,2,11,1,9,1,11,1,9,2,11,1,9,3,11,1,16,1,11,2,9,2,13,1,11,1,16,1,11,1,9,2,11,1,16,2,11,1,16,4,11,1,16,1,9,3,16,2,9,1,11,1,9,1,11,1,16,2,9,1,16,1,9,2,11,1,9,1,11,1,16,2,9,1,11,3,10,1,9,3,16,1,8,1,11,1,17,1,10,1,11,1,9,1,10,1,9,2,16,1,9,1,11,1,16,2,9,2,11,4,9,4,16,1,11,1,9,1,16,1,11,1,9,1,16,2,9,1,16,1,9,2,16,1,11,1,9,2,11,3,9,1,16,1,11,3,16,1,11,1,16,1,11,1,10,1,11,1,17,1,11,1,16,2,17,1,16,3,17,1,11,1,16,1,17,3,16,3,11,1,16,1,11,1,9,1,17,1,16,1,11,1,16,1,17,1,11,1,16,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,10,1,9,3,11,1,10,1,9,4,16,1,11,1,16,1,11,2,16,1,11,1,10,1,16,3,11,2,16,2,11,1,9,6,13,4,9,1,13,1,9,1,11,1,9,3,11,1,9,4,13,1,6,1,8,1,9,1,13,2,9,1,8,1,9,1,10,1,9,8,8,1,13,3,8,1,13,1,9,1,7,1,13,1,7,1,30,1,13,2,28,1,13,3,6,1,9,1,13,1,8,1,9,4,13,1,6,1,33,93,5,534,28,55,33,2,5,1,33,3,5,25,33,1,28,6,30,2,28,3,13,2,28,2,30,2,28,5,30,1,28,1,30,1,28,21,13,2,6,1,13,2,6,1,28,18,30,1,28,32,6,1,28,1,6,1,30,3,6,1,30,3,6,1,28,12,5,141,33,1,5,1,6,1,28,2,33,3,5,139,33,1,28,10,7,2,13,2,9,1,17,2,9,2,24,1,8,1,6,1,30,1,6,2,11,1,13,1,9,1,10,1,12,2,9,1,6,1,28,5,29,1,9,1,17,1,13,1,29,1,8,1,13,1,28,1,29,1,28,24,13,1,17,2,9,1,8,2,24,1,9,1,17,1,9,1,8,1,13,1,6,1,13,1,28,1,6,2,29,1,13,1,8,1,12,1,28,5,}, {12,2,15,1,7,1,28,1,30,2,28,3,6,1,9,1,8,1,13,1,30,1,6,1,28,1,6,2,8,2,6,1,28,38,13,1,9,1,13,1,9,1,12,1,15,1,12,1,8,1,6,2,29,3,28,1,13,1,14,1,12,1,24,2,8,1,24,2,12,1,8,2,13,2,17,1,16,1,13,1,6,1,30,1,6,1,7,1,8,1,17,1,12,1,11,1,10,1,12,1,11,1,17,13,16,1,6,1,28,1,30,1,28,22,29,1,8,2,10,1,17,3,12,1,7,1,6,1,30,1,29,1,6,1,29,1,13,1,17,2,11,1,8,1,9,1,13,1,9,1,13,1,24,1,8,1,13,1,6,1,13,2,9,1,24,1,10,1,17,1,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,4,9,2,17,4,16,1,17,1,16,12,11,2,17,1,16,2,17,1,11,1,16,1,11,2,16,1,11,2,16,3,17,1,16,2,11,1,17,1,9,1,16,3,17,1,11,2,16,3,11,1,16,1,17,1,16,1,17,1,16,4,17,1,16,2,17,1,16,3,17,1,11,1,17,1,11,2,10,1,16,1,10,1,16,1,10,1,17,1,16,1,17,1,16,5,11,1,16,1,17,1,16,2,17,1,11,3,16,3,11,2,16,1,9,1,11,1,9,3,11,1,9,1,8,1,13,1,9,2,10,1,9,1,8,1,13,1,8,1,13,3,7,1,13,2,9,1,13,2,6,1,8,1,13,2,8,1,9,1,8,1,13,2,8,1,13,3,9,1,13,1,9,3,13,1,9,1,13,1,9,2,13,1,9,1,8,1,9,7,10,1,9,2,13,1,8,1,9,4,13,1,9,1,13,1,9,3,8,1,9,8,8,1,13,1,9,1,13,2,9,2,11,1,8,1,10,1,8,1,9,2,13,1,9,1,13,1,9,5,10,1,8,1,9,6,10,1,13,1,9,1,11,1,16,1,11,2,9,3,16,1,11,2,9,4,16,1,11,1,9,2,11,5,16,2,11,1,16,1,9,2,11,4,17,1,16,1,11,1,17,1,11,2,17,1,16,1,17,1,16,2,17,35,16,1,17,1,10,1,16,1,9,1,11,1,9,2,11,3,9,1,11,1,9,1,11,1,16,1,9,1,10,1,9,1,11,1,9,3,11,1,9,2,11,1,9,2,11,7,9,1,16,2,17,3,16,20,10,1,9,1,11,1,17,2,16,1,11,1,17,1,11,1,9,1,16,2,9,1,11,2,17,1,16,2,11,1,16,6,17,1,16,2,17,2,16,1,11,1,16,2,17,1,16,5,11,1,17,1,16,1,17,4,16,1,17,4,16,1,17,8,16,3,11,1,17,2,11,1,17,1,16,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,16,16,1,11,1,16,3,17,1,9,3,10,1,9,3,11,1,9,1,8,1,9,2,8,1,9,1,16,1,9,1,10,1,16,1,11,1,16,1,17,1,10,1,17,1,11,1,17,2,11,1,17,4,16,3,11,1,10,1,11,2,16,1,10,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,16,1,9,1,16,8,11,1,16,3,11,1,16,1,9,1,17,1,9,1,11,1,17,2,11,1,17,1,11,1,17,2,9,1,16,1,10,1,11,1,8,1,9,1,8,1,9,1,8,1,13,2,9,1,24,1,8,2,13,1,6,1,13,4,6,2,13,1,6,1,13,1,29,1,6,2,30,1,8,1,30,1,6,1,13,1,6,2,29,1,8,1,7,1,13,1,30,1,13,1,29,1,6,1,30,2,7,1,6,1,30,1,6,1,30,1,28,1,30,1,28,113,30,1,28,1,29,1,28,11,30,1,28,1,30,1,29,1,30,1,13,1,6,2,29,1,6,1,28,1,6,2,7,1,13,2,29,1,13,2,9,1,12,1,11,1,17,1,16,2,17,1,16,1,17,1,16,3,9,2,16,1,9,1,16,2,11,1,16,1,11,2,16,1,11,2,9,4,16,2,9,1,16,10,11,2,16,2,11,1,17,1,16,2,9,1,16,1,13,1,11,1,9,1,11,1,9,1,11,1,16,2,11,1,16,2,9,1,11,3,16,1,9,1,16,1,11,1,9,5,10,1,11,2,9,1,16,1,11,1,16,1,9,1,11,1,9,2,11,2,9,3,11,1,9,1,8,1,11,1,13,1,11,1,9,1,11,1,9,1,16,1,9,2,11,1,9,1,11,3,9,1,11,3,16,1,8,1,17,1,11,1,16,2,10,1,11,2,16,1,10,1,11,2,16,2,10,1,17,1,9,1,11,1,16,1,11,1,16,7,11,1,16,1,17,1,10,1,17,1,16,4,17,1,16,3,11,1,9,1,16,1,9,1,11,2,9,1,8,1,13,4,8,1,9,2,13,1,8,1,13,1,9,3,8,1,9,1,11,1,9,4,11,2,16,2,9,1,11,2,9,4,10,1,9,1,11,1,9,7,10,1,9,2,8,2,13,1,11,1,9,1,11,1,13,1,11,1,9,2,11,2,13,2,8,1,6,1,8,1,9,1,8,1,13,1,9,1,11,1,13,1,9,1,13,2,9,2,13,1,9,2,13,1,8,1,13,3,9,1,13,1,8,1,13,2,6,1,28,1,30,1,13,1,6,1,13,2,9,1,13,6,9,1,28,1,33,95,5,533,33,2,13,1,33,1,28,45,5,37,33,3,28,4,30,1,28,1,30,1,28,1,13,1,6,1,28,5,30,1,28,1,30,1,28,1,13,1,28,1,13,1,28,1,30,2,6,1,28,1,6,1,28,10,30,1,28,4,30,2,28,1,6,1,30,2,28,6,30,1,28,5,6,1,28,6,30,2,28,31,6,1,13,1,6,1,28,2,6,1,30,1,13,1,28,15,30,1,5,143,33,1,5,1,33,2,5,139,33,1,28,9,30,1,6,1,30,1,7,1,24,1,9,1,17,2,12,1,9,1,8,1,9,1,6,1,30,1,6,1,29,1,24,1,8,2,11,1,12,3,29,1,28,5,29,1,17,2,8,1,30,1,6,1,13,1,30,2,28,24,8,1,17,2,9,1,8,1,13,2,12,1,9,1,13,4,29,1,6,1,7,1,6,1,7,1,8,2,24,1,28,4,30,1,}, {24,1,9,2,6,1,30,1,29,1,30,2,28,2,6,1,8,1,24,1,6,2,30,1,6,2,13,2,24,1,29,1,28,34,30,1,28,1,30,2,8,1,13,1,8,1,9,1,12,1,15,1,9,2,6,1,30,1,6,1,29,3,7,1,15,1,14,1,9,2,13,1,8,3,24,1,7,1,6,1,29,1,17,1,12,1,13,1,6,1,30,1,29,1,6,1,9,1,17,2,12,1,17,1,9,1,16,1,9,1,17,13,6,1,28,24,30,1,13,1,24,1,9,1,17,3,16,1,13,1,9,1,6,1,29,1,6,2,8,1,17,1,12,1,17,2,9,2,24,2,13,1,8,1,29,1,7,1,13,1,6,1,9,1,8,1,9,1,12,1,6,1,28,4,30,3,28,7,13,1,11,2,17,7,16,4,17,1,11,1,17,1,16,1,9,1,17,1,16,1,11,1,16,2,17,2,16,1,11,1,16,2,11,1,16,3,11,1,17,1,16,1,11,1,17,2,16,5,17,3,16,1,17,1,16,2,17,1,16,2,17,1,16,1,11,3,16,13,11,1,17,1,11,1,16,2,11,1,16,1,17,1,11,1,16,1,17,1,11,1,16,1,11,1,16,7,11,3,16,1,11,1,9,4,11,2,9,1,11,1,9,1,11,1,10,1,9,2,8,1,13,2,9,1,7,1,13,1,8,2,6,1,8,1,6,1,9,1,13,1,9,4,10,1,8,2,9,2,13,1,8,1,9,3,8,1,9,4,13,1,9,5,13,1,9,8,13,1,8,1,9,1,13,1,9,1,8,1,13,1,9,5,8,1,9,3,13,1,11,1,13,2,9,2,13,1,9,1,13,2,9,8,11,1,8,1,10,1,9,1,8,1,9,2,10,2,8,1,9,1,8,1,9,1,10,1,11,1,9,1,8,1,9,1,11,1,9,2,11,5,10,1,9,1,10,1,13,1,16,1,11,4,9,1,11,1,16,1,9,1,11,1,16,1,11,2,16,2,11,2,16,2,11,3,16,3,17,2,16,4,17,3,16,1,17,2,16,1,17,32,16,2,11,2,16,1,11,1,9,1,11,1,17,1,9,1,11,1,9,1,11,2,17,1,9,1,11,6,8,1,9,4,11,2,9,1,16,1,9,1,11,2,9,1,16,1,9,2,17,1,16,1,17,6,16,1,17,1,16,3,17,1,16,5,11,1,16,2,11,1,9,1,16,1,11,1,9,2,17,4,16,1,17,2,11,1,16,1,17,1,16,2,17,1,16,1,11,1,17,1,16,1,9,1,16,1,9,1,11,1,16,1,9,1,16,3,17,1,16,1,11,1,16,2,17,1,11,1,16,1,11,1,9,1,16,1,17,1,11,1,17,1,16,2,17,1,16,1,17,4,16,1,11,1,17,1,16,1,17,6,16,1,17,3,16,1,11,1,17,5,16,3,17,1,16,1,11,2,16,1,17,1,16,1,9,1,11,1,10,1,11,4,16,1,17,7,11,1,9,1,10,1,11,1,9,1,11,3,16,1,11,1,16,1,11,2,17,1,16,1,17,1,11,1,16,1,11,2,17,1,16,1,17,1,16,1,17,3,16,1,17,1,16,1,17,2,11,1,10,1,9,1,11,2,16,1,9,3,10,1,9,1,11,1,9,2,11,1,10,1,16,1,11,1,9,1,16,1,9,1,16,1,11,1,9,1,16,1,9,1,16,1,11,2,16,4,17,2,11,1,16,2,17,3,16,1,17,3,11,1,17,1,9,1,10,2,11,1,10,1,11,1,9,1,13,1,24,1,8,2,13,1,24,1,13,3,7,1,8,1,13,1,6,2,13,1,7,1,6,2,13,1,6,1,7,1,13,2,8,1,13,1,6,2,29,1,6,1,7,1,6,1,7,1,6,3,29,1,28,3,29,1,30,1,28,1,29,1,28,1,29,1,28,4,30,1,28,53,6,1,28,57,30,1,28,1,30,1,28,6,30,1,28,1,6,1,30,3,28,3,29,1,30,1,28,1,6,1,28,1,30,1,6,1,7,2,6,1,13,1,10,1,13,1,9,2,16,1,12,1,17,2,16,1,9,1,17,1,11,1,16,1,9,3,10,1,11,1,10,1,9,1,16,1,9,1,10,1,11,1,9,1,16,1,9,1,11,1,9,5,11,1,16,1,9,1,16,9,11,1,16,2,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,13,1,9,4,11,1,8,1,11,2,9,1,11,1,9,1,16,1,10,1,11,1,16,1,9,1,11,2,16,3,13,1,16,1,9,1,16,1,9,1,10,1,11,1,16,1,9,1,11,1,9,1,11,2,9,3,11,1,9,8,8,1,9,3,11,1,16,1,9,2,17,1,9,1,13,1,11,1,16,1,11,2,10,1,11,1,16,1,9,1,11,1,9,1,11,2,16,2,17,1,16,1,11,1,17,1,11,1,16,2,10,1,17,1,16,1,17,2,16,1,17,2,11,1,16,2,11,1,16,1,10,1,9,1,11,1,17,1,9,1,11,1,9,1,16,1,11,2,9,1,6,1,9,2,13,3,9,1,13,2,8,2,13,1,9,1,13,1,8,1,9,1,13,2,9,2,13,1,9,1,11,4,9,2,16,1,9,2,11,1,9,3,13,1,10,1,8,1,9,4,13,3,8,1,9,2,13,1,8,1,9,2,11,1,9,3,8,1,11,1,9,1,13,1,9,1,13,6,9,6,11,1,8,1,13,1,9,1,13,1,6,1,13,1,9,1,13,1,9,1,8,1,13,2,7,1,30,1,13,1,6,1,13,6,8,1,9,3,30,1,6,1,33,94,5,543,33,5,28,29,33,1,5,47,33,4,28,2,30,1,28,1,30,1,28,2,30,1,28,3,13,1,30,3,28,1,6,1,30,4,6,1,30,1,28,13,6,1,13,1,28,1,30,1,28,3,30,1,28,1,30,3,28,9,6,1,30,2,28,3,30,1,28,32,6,2,30,1,6,1,28,1,13,1,28,3,29,1,28,12,6,1,5,285,33,1,28,7,30,1,28,1,29,1,6,4,11,1,17,2,9,1,8,1,9,1,24,1,8,1,29,1,30,1,6,1,7,1,13,1,8,1,12,2,17,2,6,1,28,6,12,1,17,1,9,1,7,3,28,26,24,1,14,1,17,1,9,1,8,2,9,1,12,1,9,1,8,1,13,1,6,2,7,1,13,1,29,1,6,2,13,1,12,1,6,1,28,4,30,1,}, {9,1,12,1,15,1,13,1,30,3,28,3,29,1,24,1,13,2,6,1,30,1,6,1,30,1,6,1,7,1,24,1,13,1,28,35,30,1,28,1,29,1,6,1,13,1,12,1,24,1,9,1,10,1,9,1,24,1,7,2,28,1,29,1,6,1,28,1,13,1,15,1,14,1,9,2,13,1,24,1,9,1,12,1,10,1,13,2,8,1,14,1,17,1,13,1,30,2,7,1,6,1,8,1,17,2,12,4,17,14,13,1,28,2,30,1,28,21,30,1,13,2,10,1,17,1,12,1,17,1,12,1,9,1,6,1,29,1,6,1,29,1,6,1,7,1,11,1,17,1,12,1,16,1,12,1,9,1,8,1,9,1,8,1,13,4,6,1,24,1,8,1,10,1,8,1,6,1,28,1,30,1,28,1,30,1,29,1,28,9,6,1,9,1,17,7,16,4,11,1,16,3,11,2,16,2,17,1,16,1,17,2,16,1,17,1,16,3,17,1,16,3,17,2,16,1,17,1,16,3,17,1,16,3,11,1,10,1,17,1,16,1,17,1,16,4,17,1,16,1,11,1,16,3,17,1,16,1,11,1,16,1,11,1,16,1,11,1,16,3,17,1,16,3,17,1,11,2,16,2,11,1,16,1,11,2,16,1,11,2,16,7,17,1,9,1,16,5,9,1,16,1,9,1,11,1,16,1,9,1,13,1,11,2,9,3,8,1,13,1,9,1,7,1,13,5,9,2,10,1,9,4,8,1,9,3,13,1,9,1,16,1,11,1,9,5,11,1,9,1,8,2,9,1,8,3,9,1,11,1,13,1,10,1,9,1,11,1,9,1,8,1,9,4,8,1,13,1,9,3,8,1,9,8,13,2,9,5,13,1,9,1,13,1,9,2,8,1,16,1,9,3,11,1,9,2,11,1,9,2,10,1,11,2,9,1,11,1,9,1,11,1,9,3,11,2,9,3,11,1,16,1,9,1,16,1,9,2,11,1,9,3,11,5,9,1,11,1,16,1,11,1,16,6,17,1,16,1,11,1,16,4,17,3,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,34,16,1,17,1,11,1,16,1,11,1,16,1,8,1,11,1,10,1,11,1,16,1,11,1,9,1,16,1,11,3,9,4,11,1,9,4,11,1,9,1,10,2,9,3,8,1,11,1,9,3,8,1,9,2,11,1,9,1,16,1,17,5,16,1,17,1,16,2,17,1,16,4,17,1,16,4,11,6,16,3,17,7,16,1,11,1,16,2,11,2,10,1,9,1,16,1,11,1,9,1,16,4,11,1,16,1,9,1,16,1,11,1,16,2,11,1,16,2,9,1,16,2,11,1,16,3,17,1,16,7,9,1,16,1,11,1,16,2,17,1,16,2,17,10,11,1,16,1,11,1,9,1,11,1,9,1,11,2,16,1,11,1,16,3,11,1,17,1,16,4,17,6,16,1,11,1,16,1,11,1,16,2,11,2,17,1,16,3,17,3,16,2,17,1,16,1,17,4,16,2,17,5,16,1,17,2,16,1,11,1,17,1,11,5,10,1,11,1,9,1,11,1,9,3,16,1,10,1,16,1,11,4,16,1,11,1,16,1,9,1,11,1,17,1,16,5,17,1,11,1,16,3,17,1,11,1,16,1,17,4,11,1,16,1,17,2,10,1,9,2,24,1,8,2,24,1,8,1,9,1,24,1,13,1,8,1,13,2,8,1,13,5,6,2,7,1,13,1,29,2,8,1,13,5,7,1,6,1,13,1,7,1,6,1,30,1,7,1,13,2,7,1,6,1,13,1,7,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,105,30,1,28,2,30,1,7,1,28,11,30,1,6,1,28,1,29,1,28,1,30,1,29,1,28,1,7,1,30,2,6,1,28,2,29,1,7,1,28,1,6,1,30,1,6,1,7,1,30,1,8,1,9,1,13,1,10,1,11,1,10,1,12,1,16,3,9,1,16,1,11,2,9,1,10,1,9,1,11,1,9,1,16,1,11,1,16,2,9,4,16,1,9,1,11,2,9,1,11,1,16,1,11,2,9,7,11,1,9,1,11,1,16,1,10,1,9,1,11,1,9,2,11,1,9,3,11,2,16,1,11,1,9,2,16,1,9,1,11,1,10,2,16,1,11,1,16,1,9,2,16,1,11,4,10,1,16,2,11,1,9,1,10,1,16,1,9,3,16,1,9,2,13,1,9,1,11,2,9,1,11,1,8,1,16,2,9,2,11,1,8,1,11,1,9,1,11,1,9,3,16,1,11,2,13,1,17,1,16,1,10,1,9,1,17,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,9,2,16,1,11,1,9,1,17,1,16,3,9,1,16,5,11,1,9,1,16,1,11,2,16,4,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,8,1,7,1,9,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,13,1,9,5,8,1,9,2,13,3,9,5,11,1,9,1,11,2,9,1,11,1,9,2,11,1,9,3,11,1,10,2,9,1,11,1,16,1,9,2,13,1,9,4,13,2,9,1,8,1,11,1,9,1,11,1,9,6,13,6,9,7,13,3,9,1,13,5,6,1,13,1,6,1,13,6,9,2,13,2,9,1,6,1,33,97,5,548,28,5,33,3,5,1,33,13,5,58,13,1,30,1,28,1,30,1,28,1,30,1,13,1,28,1,30,1,6,2,30,1,6,1,28,1,6,1,30,1,6,2,30,1,13,1,28,1,13,1,28,1,6,2,28,10,30,1,28,9,30,1,28,1,13,1,30,2,28,3,6,1,28,3,30,1,28,6,30,1,28,11,30,1,28,6,30,1,28,11,30,1,6,1,30,1,6,1,30,1,28,1,6,1,13,1,6,1,28,17,33,1,5,281,33,1,28,7,29,1,30,1,13,1,30,2,8,1,7,1,16,1,17,2,11,1,8,1,10,1,8,1,13,1,28,1,6,3,8,2,9,1,12,1,9,2,6,1,28,5,30,1,16,1,17,1,7,1,6,2,30,2,28,25,15,1,14,1,12,1,8,1,9,1,8,1,13,1,17,1,8,1,9,1,8,1,13,1,7,1,29,1,30,1,6,1,30,1,7,1,8,1,9,1,24,1,28,5,}, {24,2,10,1,6,1,29,1,28,2,30,1,28,2,7,1,13,1,24,1,13,2,29,1,30,2,6,1,9,1,10,1,13,1,30,1,28,36,30,1,8,1,13,1,24,2,9,2,15,1,9,1,6,2,29,1,6,1,29,1,28,1,8,1,15,1,14,1,9,2,13,1,8,1,24,1,14,1,10,1,9,1,7,1,24,1,17,2,24,1,29,1,6,1,13,1,30,1,9,1,17,2,12,1,10,1,17,1,12,1,17,14,7,1,28,24,30,1,24,1,8,1,11,1,17,1,12,1,17,2,24,1,6,1,7,1,6,1,7,1,6,1,13,1,9,1,17,2,11,1,9,2,13,1,8,2,13,5,8,1,13,1,12,1,8,1,13,1,28,3,30,1,28,2,30,1,28,7,7,1,9,1,17,6,16,6,11,1,16,5,11,2,16,1,17,1,16,1,17,1,16,1,17,3,16,1,17,2,16,1,17,3,16,6,11,2,17,1,16,1,17,1,16,4,17,1,11,1,16,1,11,1,16,5,17,1,16,1,17,1,16,1,17,1,16,4,17,1,16,1,11,2,16,1,9,1,11,1,9,1,11,1,16,1,11,1,16,2,17,1,11,1,17,1,16,1,11,1,16,1,11,1,16,3,11,1,16,1,17,1,10,1,16,4,11,1,9,6,8,1,9,4,8,1,9,1,8,1,9,1,13,1,9,2,13,1,11,1,9,3,13,1,9,1,8,1,9,1,13,1,9,3,8,1,11,3,9,8,13,1,9,9,13,1,9,2,13,1,11,1,9,4,13,1,9,1,13,1,8,2,9,1,8,3,9,1,8,2,9,3,13,1,11,1,9,1,11,1,13,1,11,1,9,1,11,1,16,1,10,2,16,1,11,1,9,1,11,1,9,3,11,1,9,3,10,1,9,3,11,1,9,3,11,1,9,1,11,3,16,1,9,1,11,2,9,1,11,1,8,1,11,2,10,1,16,2,9,1,11,4,17,1,11,1,16,1,17,1,16,2,17,1,16,5,17,1,16,1,17,5,16,1,17,2,16,1,17,14,16,1,17,3,16,1,17,15,16,4,11,3,10,1,11,3,10,1,9,1,11,1,9,1,11,1,16,1,11,1,16,2,11,1,9,4,11,1,9,2,11,1,10,2,9,1,11,1,9,2,13,1,8,1,9,3,8,3,9,1,10,1,11,1,10,1,16,1,17,3,16,7,17,1,16,8,11,1,16,1,11,1,10,1,11,1,9,1,11,2,9,1,16,1,17,1,16,2,17,1,16,2,17,2,11,2,16,1,10,2,16,1,11,1,16,1,10,1,16,2,9,1,16,2,17,2,16,3,11,1,16,4,11,1,16,5,11,1,9,1,16,3,11,2,17,1,16,1,11,1,16,1,9,1,16,1,11,1,16,1,9,1,8,1,16,2,17,1,9,1,11,1,9,3,10,1,11,2,9,1,11,1,9,1,11,3,10,1,16,1,9,2,11,1,16,2,11,1,16,6,11,1,16,3,17,1,16,1,17,9,16,1,17,3,11,1,16,4,11,1,16,3,11,1,16,3,17,2,16,2,10,1,11,1,16,1,11,1,9,3,13,1,10,1,9,6,11,2,10,1,16,3,11,1,16,1,11,2,16,1,11,2,16,3,17,1,16,1,17,4,16,2,11,1,16,2,17,4,16,2,11,1,12,1,10,2,9,1,10,1,24,2,8,3,13,9,8,1,7,3,29,1,8,1,6,5,8,1,24,1,29,1,6,2,7,1,13,1,6,1,24,1,8,1,7,1,29,1,30,1,28,1,6,1,28,6,30,1,28,106,29,1,28,4,30,1,28,10,30,1,6,1,28,1,30,1,28,2,29,1,28,3,29,1,28,1,6,1,30,2,29,1,6,2,7,1,29,1,6,4,30,1,13,1,7,1,9,1,11,1,9,1,12,1,11,2,17,1,16,1,11,1,8,1,9,2,16,1,11,1,9,10,11,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,16,1,9,1,11,2,10,1,9,1,11,1,10,1,11,1,16,1,8,1,9,1,10,1,11,2,9,5,11,1,9,2,11,6,10,2,16,1,9,1,16,2,11,1,16,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,3,16,1,9,1,8,1,16,1,9,5,16,1,8,2,9,3,13,1,9,1,13,1,9,2,16,2,9,1,11,1,17,1,16,2,11,2,16,1,11,1,16,3,17,1,16,1,11,1,16,1,9,1,16,1,9,1,11,2,16,1,9,1,10,1,11,1,9,2,11,3,9,3,11,1,9,1,16,1,11,1,9,3,16,1,8,1,9,3,7,1,13,5,6,1,13,2,9,1,13,1,9,5,13,2,9,1,8,1,9,1,8,1,9,1,11,3,9,1,11,2,9,2,11,1,9,3,11,1,9,3,13,1,9,1,11,2,9,6,6,1,9,1,8,1,9,2,13,1,9,4,13,5,9,1,6,1,13,2,9,1,13,1,9,1,11,1,13,3,9,1,13,1,7,1,13,3,9,1,13,2,6,1,13,1,30,1,7,1,13,1,6,1,8,1,13,2,9,4,28,1,6,1,33,98,5,546,33,4,5,77,33,1,28,2,30,1,28,5,30,1,28,1,13,1,28,1,6,1,28,2,30,1,6,1,13,2,6,2,30,1,13,2,6,1,30,1,6,1,30,1,28,4,30,1,28,4,30,1,28,8,30,1,13,1,30,1,28,1,30,1,28,3,30,1,28,7,30,1,28,19,13,1,28,11,6,1,28,3,30,1,28,1,30,1,28,1,6,1,28,3,30,1,28,15,5,279,13,1,28,7,30,1,13,1,30,1,29,1,8,1,13,1,7,1,17,3,9,1,24,1,9,1,8,1,29,1,13,1,6,1,7,1,13,1,8,1,11,1,8,2,9,1,8,1,6,1,28,5,30,1,9,1,17,1,6,1,13,1,30,1,6,1,29,1,28,25,15,1,14,1,17,1,8,2,13,1,24,1,12,1,24,2,13,1,8,1,6,3,29,1,30,1,6,1,24,1,12,1,6,1,28,4,6,1,}, {8,1,12,1,24,1,13,1,30,1,28,1,29,1,28,3,30,1,13,1,8,1,13,1,6,1,29,1,13,1,30,1,28,1,8,1,24,1,13,1,28,35,6,1,28,1,30,1,6,1,8,2,24,1,9,1,10,1,17,1,9,1,6,1,29,1,6,1,30,2,28,1,13,1,14,1,15,1,9,1,8,1,13,3,10,1,8,2,29,1,13,1,11,1,17,1,8,1,6,4,13,1,11,1,12,1,9,1,17,2,10,1,17,14,13,1,28,24,29,1,6,1,8,2,12,1,17,1,14,1,11,1,9,1,13,1,6,3,30,1,7,1,12,1,17,2,9,3,8,1,13,1,8,1,13,1,6,1,13,1,8,1,13,1,24,1,9,1,17,1,9,1,13,1,29,1,30,1,28,1,30,2,28,9,13,1,8,1,11,1,17,6,16,1,17,1,16,4,17,1,16,1,17,1,16,2,17,2,16,1,17,10,16,1,17,1,16,2,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,3,17,3,16,1,17,1,16,5,11,1,16,1,11,1,16,1,11,2,17,1,16,2,17,1,11,1,16,2,17,1,16,3,11,1,16,3,11,1,16,6,9,1,16,1,11,1,9,3,11,1,9,1,11,1,9,2,8,1,11,1,9,1,10,1,9,2,8,1,9,1,10,1,9,2,13,1,16,1,9,2,13,1,9,3,11,2,10,1,8,1,10,2,9,2,11,1,9,1,10,1,9,3,13,1,9,3,13,1,9,1,13,1,9,1,11,1,9,1,13,1,9,3,13,2,9,6,8,1,13,1,9,3,11,1,9,3,11,1,9,1,11,2,13,1,9,5,10,1,9,1,11,2,9,1,11,1,16,1,11,1,9,1,10,1,9,1,11,2,9,1,11,1,9,1,11,2,9,1,11,1,9,2,8,1,9,1,11,3,10,1,11,1,16,2,11,1,9,1,11,1,16,1,11,1,17,1,16,1,11,2,16,2,11,1,16,2,11,1,16,4,17,4,16,2,17,2,16,1,17,1,16,1,17,8,16,1,17,2,16,2,17,28,16,2,9,2,11,1,16,1,11,1,10,1,9,2,11,2,16,1,11,2,10,1,11,2,16,1,10,1,11,3,9,7,10,1,11,2,9,3,6,1,13,1,6,1,8,2,13,1,8,2,13,2,9,4,16,1,17,8,16,2,17,1,16,5,11,2,16,2,11,1,10,1,11,1,16,1,11,2,16,1,11,1,16,4,11,2,17,1,16,1,11,1,16,1,17,1,16,1,11,1,16,1,9,1,17,1,10,1,16,3,17,2,16,1,17,1,16,3,11,1,9,2,11,1,16,1,9,1,16,2,10,1,11,4,16,1,11,1,16,1,10,1,16,1,9,1,16,3,11,2,16,1,17,1,16,1,17,2,11,1,9,2,11,1,9,2,11,1,9,5,10,1,11,1,9,1,11,2,9,1,11,1,9,1,16,5,17,1,16,5,17,1,16,1,17,9,16,1,17,1,16,2,17,1,16,1,11,2,10,1,16,1,11,2,9,1,11,1,9,4,10,1,11,2,16,2,17,1,16,2,11,1,9,1,10,1,9,2,8,1,9,3,13,1,9,1,8,1,9,2,8,1,9,1,16,1,11,1,16,1,11,1,16,1,11,4,16,2,11,1,16,6,17,4,16,4,17,7,11,1,16,1,11,2,9,1,24,1,17,1,9,1,8,2,13,2,6,1,13,3,7,1,13,1,6,1,8,2,13,2,7,1,30,1,13,2,6,1,7,1,8,1,28,1,29,1,7,1,29,1,6,2,29,1,13,1,8,1,13,1,6,1,30,1,29,1,28,2,29,1,28,1,30,2,28,130,30,1,28,2,29,1,6,1,30,3,29,1,30,1,6,1,28,1,29,1,6,1,29,1,7,1,28,1,6,1,28,1,13,1,28,1,13,1,6,1,9,1,12,1,11,1,17,1,9,1,17,1,11,2,9,3,8,1,9,3,8,2,9,4,11,1,9,3,11,1,9,4,11,1,16,1,9,1,13,1,16,1,9,1,11,3,9,1,10,1,9,1,11,1,9,2,11,1,9,2,11,4,9,2,11,2,16,1,10,1,11,4,9,1,11,1,16,1,9,1,16,1,11,1,16,3,9,1,16,1,11,2,9,1,11,2,10,1,11,1,16,2,9,1,11,1,8,1,11,1,9,5,10,1,9,2,11,1,9,1,10,1,9,1,16,1,11,1,9,1,10,1,9,2,8,1,13,1,16,1,11,1,9,1,16,1,11,2,9,1,17,1,11,2,17,1,16,1,17,1,16,2,17,3,16,2,9,1,16,5,11,2,9,4,11,1,9,1,11,2,9,3,11,4,9,1,11,1,9,2,8,2,9,4,13,2,9,1,13,1,6,1,13,2,9,1,13,1,8,1,13,1,9,1,13,1,9,7,11,2,16,1,9,2,13,1,10,2,9,1,10,1,9,3,11,2,9,1,11,1,13,1,9,2,8,2,9,1,11,2,13,5,9,1,13,2,9,1,13,5,9,1,13,4,8,2,9,2,13,4,6,1,13,1,8,1,13,2,8,2,6,2,13,1,6,1,13,2,9,1,6,1,13,1,9,1,11,1,9,2,28,1,33,101,5,627,33,1,13,1,28,8,30,3,13,1,6,1,30,2,6,1,13,2,30,2,6,1,13,1,30,1,13,2,30,1,13,2,28,3,30,1,28,4,30,2,28,10,6,1,28,1,6,1,30,2,28,9,30,1,28,30,30,1,13,1,6,1,28,2,30,3,28,20,33,2,5,275,33,1,28,7,6,1,29,1,6,3,7,1,8,1,17,3,11,1,8,2,24,1,29,4,6,1,8,2,13,1,9,1,17,1,9,1,28,6,6,1,17,1,16,1,7,1,8,1,29,2,28,26,10,1,14,1,17,1,9,1,24,1,13,1,9,2,10,1,9,1,8,2,13,1,6,1,29,1,7,1,30,1,6,1,8,1,9,1,13,1,28,4,6,1,}, {24,1,9,1,24,1,13,1,30,1,28,5,29,1,24,2,8,1,28,1,6,3,30,1,9,1,13,2,28,35,30,1,28,1,30,1,6,1,24,1,9,1,8,1,24,1,15,1,12,1,9,1,13,1,29,1,28,1,6,2,28,1,13,1,15,2,9,3,13,1,8,1,13,2,8,1,7,2,11,1,17,1,24,1,30,1,6,3,9,2,10,2,11,1,17,1,10,1,17,14,13,1,28,3,30,1,28,21,6,1,8,1,12,2,17,1,14,1,17,1,9,1,7,1,13,1,7,1,29,1,6,2,11,2,17,2,9,1,10,1,8,2,24,1,13,3,9,1,13,2,9,1,10,1,17,1,13,1,28,3,30,2,28,3,30,1,28,5,6,1,9,1,11,1,17,6,16,6,17,4,16,1,17,5,16,1,17,8,16,1,17,1,16,2,17,1,16,4,17,1,16,4,17,1,16,2,17,1,16,6,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,6,11,1,16,1,11,1,16,2,17,2,16,2,11,1,16,2,11,1,16,1,11,1,16,3,11,2,16,2,11,1,16,3,10,1,16,2,9,1,11,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,3,9,3,16,1,9,5,8,1,13,1,10,1,9,1,11,2,9,2,13,1,9,1,8,1,11,1,9,1,13,1,8,1,9,1,8,1,9,2,10,1,9,1,8,1,13,1,9,1,8,2,9,2,10,1,9,1,13,2,9,2,11,1,10,1,9,1,11,1,9,1,10,1,11,1,8,1,9,1,8,1,11,1,9,1,11,1,9,3,11,1,9,1,16,1,9,3,11,1,16,1,11,4,9,5,10,1,11,2,13,1,11,1,13,1,9,2,11,1,10,1,11,2,16,1,11,1,16,1,11,3,16,2,11,2,16,3,17,2,16,4,17,1,16,1,17,1,16,1,17,3,16,1,17,1,16,3,17,1,16,1,17,38,16,1,17,3,11,1,9,1,8,1,11,1,16,1,11,6,16,1,11,1,16,3,11,3,9,2,16,1,9,1,8,1,9,1,11,1,9,3,11,2,13,3,6,1,13,1,6,1,13,1,7,1,6,1,13,4,8,1,9,2,8,1,9,3,17,1,11,1,17,7,16,1,17,1,16,1,17,3,16,2,17,1,16,5,11,1,16,1,11,3,16,1,17,1,16,1,11,1,16,5,17,4,16,1,10,1,16,1,17,1,16,4,17,1,16,1,17,1,16,2,17,1,11,1,16,3,10,1,11,1,16,1,17,1,16,7,9,1,16,2,9,5,8,1,10,1,9,4,13,1,9,2,11,1,9,8,11,3,9,1,11,1,9,1,11,1,9,1,11,2,16,1,11,1,16,1,11,1,16,2,11,1,16,2,11,1,16,2,17,8,16,1,17,1,16,4,11,1,9,3,8,1,9,9,16,3,17,1,11,5,9,2,13,1,8,1,13,1,9,2,8,2,9,4,11,1,16,1,11,3,9,1,16,1,11,1,9,1,10,1,16,3,11,1,16,4,17,3,16,1,17,3,16,5,17,4,16,1,12,3,17,1,12,1,17,1,13,1,8,1,13,1,8,2,24,1,8,1,13,1,8,1,9,1,6,1,24,1,13,1,8,3,7,2,13,2,6,3,7,1,6,1,30,1,6,1,13,1,30,1,13,2,29,1,6,3,30,1,6,2,28,1,30,1,28,4,30,1,28,107,30,1,28,16,6,1,30,1,28,3,30,1,28,1,29,2,28,3,6,1,29,1,30,1,28,1,29,1,6,1,30,2,28,1,29,2,13,1,6,1,29,1,6,1,13,1,11,1,9,1,11,1,16,1,17,2,11,1,9,8,13,1,9,2,13,1,16,1,11,2,9,2,11,1,9,2,11,2,9,2,11,1,9,1,11,1,9,1,16,1,13,1,10,1,11,2,9,3,11,1,9,2,11,1,9,1,11,1,16,2,11,4,16,1,17,1,16,1,11,1,16,1,11,2,9,1,11,4,16,4,11,2,16,3,11,2,16,2,10,1,11,1,10,1,16,1,9,1,16,1,9,2,10,1,11,1,9,3,10,1,9,1,11,1,9,1,11,1,9,1,11,2,9,1,16,2,9,2,16,1,11,1,16,1,9,1,17,1,11,1,16,4,17,2,16,6,17,1,16,1,11,1,16,1,11,3,16,2,11,3,10,1,9,1,11,1,9,1,16,1,9,3,11,1,16,1,9,1,17,1,16,1,8,1,13,1,9,2,8,1,9,1,13,1,8,1,9,2,13,2,9,1,8,1,13,2,9,1,13,1,9,1,13,1,8,1,13,1,9,1,10,1,9,1,13,1,10,1,11,1,9,1,11,1,16,1,11,2,9,2,10,1,9,1,10,1,16,1,11,1,9,3,13,1,9,5,8,1,9,1,13,2,9,1,8,1,9,5,13,1,9,3,8,1,9,1,13,6,8,1,13,1,9,2,13,1,9,1,13,3,7,1,13,2,8,1,13,2,6,1,9,2,13,2,6,1,13,5,9,1,30,1,33,102,5,628,13,1,28,7,30,1,28,2,30,1,28,2,6,3,13,1,6,1,13,2,6,1,13,2,6,1,13,5,6,2,28,1,30,1,28,15,6,1,28,1,30,1,6,1,28,2,6,1,28,41,30,1,28,2,30,2,28,23,30,1,33,1,5,271,33,1,28,7,30,1,6,1,30,1,6,2,7,1,9,1,17,3,11,1,8,2,13,1,28,1,29,1,30,1,29,1,13,2,9,1,10,1,12,2,11,1,28,6,13,1,10,1,17,1,13,1,6,3,30,2,28,24,15,1,14,1,17,1,24,1,8,2,10,1,12,1,9,1,10,1,8,2,7,1,6,1,28,1,29,1,6,2,13,1,9,1,29,1,28,5,}, {24,1,10,1,12,1,13,1,6,1,30,1,28,4,30,1,8,1,24,2,13,1,29,1,6,1,30,2,8,2,7,1,30,1,28,23,30,1,28,10,6,2,30,1,7,1,6,1,24,1,8,1,10,1,9,1,12,1,9,1,6,1,7,1,6,1,7,1,29,2,6,1,12,1,17,1,9,1,13,1,8,1,7,1,8,2,9,1,12,1,6,2,24,1,15,1,10,1,29,2,6,1,13,1,8,1,12,1,17,1,12,1,17,1,10,1,17,1,12,1,17,2,12,1,17,10,9,1,6,1,30,1,28,23,6,1,24,2,12,1,17,2,15,1,24,1,13,1,6,2,7,1,6,2,11,2,17,2,12,1,9,2,8,1,13,2,8,1,13,1,8,3,12,1,9,1,16,1,13,1,28,1,30,2,28,1,30,1,28,9,13,1,10,1,17,1,16,1,17,6,16,6,17,2,16,1,17,15,16,1,17,3,16,1,11,1,17,1,16,1,17,1,16,4,17,4,16,1,17,5,16,1,17,1,16,5,17,1,16,2,11,1,16,4,11,1,16,5,17,1,16,7,17,1,11,2,16,1,11,1,16,2,11,1,17,1,16,1,11,1,16,1,10,2,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,3,10,1,9,3,10,1,8,1,11,1,10,1,11,3,10,1,9,3,10,1,9,4,11,1,9,4,11,1,9,3,11,1,9,5,13,1,11,1,13,1,11,1,9,1,8,1,9,2,11,1,9,3,10,1,9,1,11,3,9,2,8,1,11,1,10,1,11,1,9,1,11,1,9,3,16,1,9,4,11,1,8,1,13,1,9,2,11,2,9,1,11,2,16,1,9,4,11,2,9,3,16,1,11,1,9,4,11,1,9,4,11,1,16,4,9,2,16,2,11,1,16,4,17,1,16,1,17,1,16,5,17,16,16,1,17,11,16,1,17,21,16,2,11,1,17,1,11,4,9,3,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,16,1,9,1,16,1,11,2,9,1,16,1,9,3,16,1,9,1,13,1,9,1,13,2,6,1,7,1,30,1,6,1,30,1,6,1,13,1,6,1,30,1,13,1,8,1,13,2,9,1,8,2,9,3,11,1,17,6,16,1,17,6,16,2,17,1,16,8,11,1,16,3,11,1,16,2,11,1,16,1,11,1,16,1,11,3,16,1,17,4,11,1,17,2,16,1,17,2,16,5,17,1,16,1,17,2,16,1,11,1,17,1,11,1,16,1,17,1,16,2,11,1,9,3,11,1,10,1,9,3,8,1,13,1,8,1,13,1,9,1,11,4,9,1,16,1,9,1,11,1,9,1,11,1,9,2,11,1,9,4,10,1,11,1,16,1,9,1,16,1,11,1,9,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,9,1,16,3,17,8,16,4,11,1,9,3,10,1,9,3,8,1,9,1,8,2,11,1,8,1,9,2,11,1,16,1,17,1,16,1,11,1,16,2,9,1,11,1,9,1,13,5,9,9,11,2,16,1,9,2,11,1,16,1,11,2,16,3,11,2,16,5,17,3,16,2,17,2,16,1,11,1,16,1,17,8,10,1,12,1,9,1,24,1,9,1,12,1,11,1,8,3,13,1,8,1,24,1,8,1,7,1,8,2,6,1,13,1,6,1,13,2,8,1,7,1,29,1,13,2,6,1,29,2,30,1,7,1,30,1,6,1,28,1,30,1,28,1,29,1,28,5,30,1,28,49,30,1,28,81,6,1,30,1,28,3,6,1,30,1,29,1,30,1,29,1,30,1,28,1,30,2,28,2,30,1,6,1,29,1,30,1,6,1,29,1,6,1,13,1,9,2,12,1,9,2,11,1,16,1,11,2,9,1,11,1,10,1,9,7,11,1,9,3,11,1,9,6,13,1,9,2,11,1,9,1,11,1,10,1,11,1,9,1,10,1,9,1,11,1,9,5,11,1,16,2,17,3,12,1,17,1,9,1,11,1,10,1,11,1,17,1,9,1,16,1,17,1,9,1,11,1,16,1,9,2,11,1,9,1,16,2,11,2,9,1,16,2,11,1,9,2,16,2,11,4,9,2,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,8,1,9,1,11,2,17,1,16,1,11,2,16,1,10,1,11,1,16,5,11,1,16,9,9,3,11,1,9,1,11,2,16,1,11,5,9,1,16,1,11,3,9,1,16,1,11,1,16,1,9,2,13,2,9,1,13,1,8,1,9,1,13,3,8,1,13,1,9,1,13,1,8,1,13,3,7,1,9,1,11,1,13,1,9,1,13,1,10,1,11,2,9,2,11,1,9,3,10,1,9,4,11,1,9,3,10,1,9,6,8,2,9,1,10,1,13,1,9,7,10,1,13,1,9,3,13,1,8,1,6,1,13,5,9,2,10,1,9,1,13,1,9,1,13,6,7,1,13,2,8,1,13,4,6,1,13,5,6,1,33,103,5,627,6,1,28,9,30,2,28,1,6,1,13,1,6,3,30,1,13,1,30,1,6,2,13,6,6,1,13,3,6,1,28,1,30,1,28,2,30,1,28,10,6,2,28,1,30,1,6,1,28,5,6,1,28,35,30,1,28,1,30,2,6,1,28,5,30,1,28,20,13,1,5,270,33,1,28,6,30,1,6,1,29,1,8,1,6,1,30,1,6,1,9,1,17,3,11,1,9,1,10,1,13,1,6,1,29,1,30,1,8,1,13,1,8,1,10,1,8,1,9,1,17,1,9,1,28,6,8,1,14,1,12,1,13,1,30,1,6,1,28,1,6,1,28,24,30,1,10,1,14,1,15,1,24,1,8,1,24,1,9,1,12,2,24,1,13,1,8,1,6,1,7,1,6,1,30,1,6,1,13,1,8,1,24,2,28,4,30,1,}, {8,1,9,2,8,1,29,1,28,1,30,1,28,3,29,1,9,2,13,1,30,1,6,1,29,2,30,1,6,1,13,2,28,34,30,1,28,1,30,1,29,1,30,1,8,1,13,1,8,1,12,1,9,1,14,1,9,1,8,1,6,3,29,1,28,1,6,1,15,1,12,1,24,1,13,2,24,1,13,3,10,1,6,1,13,1,8,1,17,1,9,1,6,3,7,1,8,1,9,1,11,2,10,1,17,4,12,1,11,1,17,10,9,1,28,6,30,1,28,3,30,1,28,14,30,1,24,2,12,1,10,1,17,1,14,1,9,1,13,1,6,2,30,2,6,1,9,1,17,1,12,1,11,1,10,2,9,1,8,1,9,1,13,3,8,1,9,1,10,1,12,1,16,1,17,1,13,1,28,1,30,1,29,1,30,1,28,2,29,1,28,3,30,2,28,2,8,1,17,1,11,1,17,7,16,2,17,4,16,1,17,1,16,1,17,5,16,1,17,2,16,1,17,2,16,1,17,4,16,1,17,1,16,2,17,1,16,6,17,11,16,3,17,2,16,1,17,1,16,1,17,1,16,3,17,1,11,1,17,2,16,1,17,1,16,3,17,1,16,7,11,1,16,1,11,1,16,5,17,1,11,1,10,1,11,5,16,1,11,1,9,2,11,3,9,2,10,1,11,1,9,1,8,1,10,1,9,2,8,1,9,1,13,1,9,4,13,1,9,1,13,1,9,2,13,1,8,1,13,1,9,3,13,1,10,1,9,1,13,1,9,1,13,1,9,4,10,1,9,2,13,1,9,2,11,1,13,1,9,1,8,1,9,4,13,1,9,5,8,1,10,2,9,2,8,1,9,3,13,1,9,3,11,1,10,1,9,3,11,1,9,3,11,4,9,2,11,3,9,1,11,3,9,2,10,1,9,4,16,1,11,1,9,1,10,1,11,2,17,1,11,1,16,2,11,1,17,1,11,1,16,1,17,2,16,1,17,1,16,5,17,2,16,1,17,2,16,1,17,10,16,1,17,31,16,2,11,1,16,1,11,2,9,1,11,3,16,1,11,1,9,1,11,1,16,1,9,1,16,1,11,2,16,1,10,1,9,1,11,1,17,1,9,1,11,4,9,2,11,1,9,1,10,1,8,3,13,1,6,1,13,5,7,3,13,1,6,2,8,3,9,1,13,1,10,1,8,1,9,2,11,1,16,1,17,5,16,2,17,4,16,1,17,2,16,3,11,1,16,1,11,1,16,2,11,1,16,4,11,1,16,1,17,1,11,1,16,2,17,1,16,2,11,1,9,1,16,1,11,2,17,1,16,1,17,2,16,1,17,3,16,1,17,4,16,4,17,2,16,1,10,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,9,1,11,7,16,1,11,3,9,2,11,1,16,1,9,2,11,1,9,1,11,1,9,9,16,1,11,1,10,1,11,1,9,1,10,2,16,1,11,2,16,8,17,2,16,1,17,2,16,1,17,1,16,4,9,5,8,1,9,1,13,1,9,1,8,1,9,2,8,1,9,1,11,1,17,1,11,1,16,1,17,1,16,1,11,1,16,2,11,2,13,3,8,1,6,1,13,1,6,1,13,2,8,1,9,1,10,1,11,2,9,1,11,2,9,2,11,3,9,1,11,2,9,3,16,2,17,1,16,2,17,1,16,3,17,1,16,8,11,3,17,3,16,1,9,3,13,2,9,1,13,1,9,1,8,1,7,1,24,1,8,1,13,1,7,1,13,1,7,2,29,1,13,1,7,1,13,1,6,1,13,1,8,1,7,2,6,1,29,1,6,1,30,2,6,1,30,4,28,1,29,1,28,7,30,1,28,6,29,1,28,126,30,1,28,2,30,1,28,1,30,1,29,1,28,2,6,1,30,1,7,1,28,1,30,1,28,1,6,1,30,1,6,1,7,1,30,1,13,1,9,2,11,2,16,2,9,1,13,1,17,1,8,1,11,1,10,1,11,1,8,1,9,9,11,2,10,1,9,1,11,5,8,2,9,2,11,2,9,1,11,3,16,1,17,2,16,2,8,1,30,1,6,1,13,1,8,2,11,1,9,1,12,1,11,1,17,1,16,1,11,1,10,1,11,2,16,1,17,1,16,5,9,1,16,1,11,1,9,1,10,1,16,1,11,1,9,5,11,1,13,1,9,2,16,1,9,2,10,1,11,1,9,6,11,1,9,1,16,1,9,2,16,1,9,1,11,2,16,1,11,1,16,2,11,2,16,2,11,1,16,4,9,3,11,2,9,2,10,1,16,2,11,2,10,1,11,2,9,1,11,1,9,3,11,2,9,2,11,2,13,1,9,1,8,1,9,6,13,3,9,1,13,1,8,1,6,1,13,4,8,1,13,1,9,1,8,1,11,1,9,2,13,1,11,1,9,5,11,1,8,1,9,1,11,3,9,2,8,1,13,1,9,1,16,2,9,1,13,2,11,2,9,2,13,2,9,2,8,1,11,1,9,2,16,1,13,1,9,1,13,1,9,2,13,1,7,1,9,1,13,2,9,1,13,2,9,4,13,6,9,1,13,1,8,1,13,1,9,1,13,6,6,4,33,105,5,626,13,1,28,8,30,5,6,1,30,1,28,1,6,4,13,2,6,1,13,2,6,1,13,1,6,2,13,2,6,2,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,9,30,1,28,1,6,1,30,1,13,1,28,1,6,1,30,1,6,1,28,7,30,1,28,1,30,1,28,3,30,1,28,21,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,3,30,1,28,18,6,1,5,269,33,1,28,6,29,1,28,1,6,1,8,1,6,1,29,1,13,1,8,1,17,3,9,1,8,1,11,1,13,1,6,1,30,2,13,1,8,3,11,1,9,1,12,1,11,1,28,6,13,1,14,1,12,1,6,1,29,2,7,1,28,1,30,2,28,22,6,1,14,2,16,1,8,4,17,1,10,1,24,1,9,1,13,1,29,1,13,1,30,1,6,1,7,1,13,1,12,2,13,1,28,4,6,1,}, {8,1,10,1,8,1,13,1,6,1,28,1,30,2,28,2,30,1,13,1,24,1,10,1,24,1,29,1,30,1,6,1,30,1,6,1,17,1,7,1,28,36,6,1,30,1,6,1,8,2,9,1,24,1,12,1,14,1,24,1,8,1,7,1,30,1,6,1,28,2,13,1,9,1,15,1,9,1,6,1,8,1,13,1,24,2,8,2,7,1,6,1,24,1,17,1,12,1,6,2,13,1,7,1,6,1,10,1,12,1,17,1,10,1,11,2,17,1,16,1,12,1,17,10,14,1,16,1,28,6,30,1,28,17,30,1,29,1,8,1,10,1,12,2,14,2,24,1,13,1,6,1,30,2,6,2,9,1,12,2,17,1,12,1,9,4,13,2,8,1,9,1,8,1,17,3,11,1,8,1,30,1,28,1,30,2,28,1,30,1,28,8,9,1,17,8,16,6,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,8,16,1,17,4,16,2,17,1,16,2,17,5,16,1,17,8,16,6,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,3,16,1,17,1,16,2,17,2,11,1,16,12,17,1,16,4,11,2,9,5,11,2,9,3,11,1,9,1,11,1,10,1,11,1,9,3,8,1,9,1,11,1,9,2,13,1,9,4,13,1,9,2,8,1,10,1,9,3,13,1,9,5,11,1,9,2,11,1,9,5,11,1,9,4,11,1,9,1,11,1,9,1,13,1,9,7,11,1,8,1,13,1,9,2,13,1,8,1,13,1,9,1,8,1,11,2,13,1,9,1,10,1,9,3,10,1,9,1,11,1,9,2,11,2,9,1,11,1,9,1,11,2,9,2,11,2,10,1,11,1,16,1,10,2,16,1,11,1,16,1,11,1,16,4,11,1,16,2,17,1,16,3,17,1,16,2,17,1,16,5,17,1,16,3,17,2,16,1,17,4,16,1,17,2,16,1,17,30,16,1,11,1,16,1,11,1,9,1,11,2,16,3,10,2,9,2,10,1,9,2,10,1,11,1,9,1,16,1,11,4,9,1,16,1,11,2,10,1,16,1,11,2,9,2,11,1,8,1,13,1,8,1,13,1,8,1,13,2,6,2,7,1,13,2,6,1,13,1,6,1,7,1,6,1,13,1,7,1,6,1,13,1,9,5,11,3,17,1,16,1,17,15,16,1,17,1,16,10,11,1,16,3,11,2,16,1,11,1,16,1,11,1,16,1,9,1,10,1,11,2,16,1,9,1,16,3,11,1,16,3,11,3,16,1,11,1,16,1,11,1,16,2,9,1,16,2,11,1,16,3,11,5,9,1,11,1,16,1,11,1,9,1,11,1,10,1,11,1,9,2,13,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,16,1,11,1,9,3,11,1,16,1,11,2,9,1,10,1,11,3,9,1,11,1,16,1,11,2,16,6,17,1,16,1,17,1,16,1,17,1,16,3,11,1,9,1,8,1,9,3,13,1,9,1,8,1,13,2,8,1,9,1,8,2,9,1,11,3,16,7,11,1,13,4,7,1,13,3,6,1,13,1,9,3,16,1,9,4,13,2,11,1,8,1,9,1,11,2,16,1,11,1,16,2,11,1,16,15,17,1,16,1,17,1,11,1,17,5,11,1,16,2,9,2,12,1,13,1,9,1,13,1,24,1,7,1,24,1,13,1,8,1,13,1,6,2,8,1,6,1,13,1,6,1,8,1,29,1,6,1,29,1,13,1,6,1,30,1,28,1,6,1,29,1,28,1,6,1,30,4,28,1,6,1,28,6,29,1,7,1,28,2,30,1,28,125,30,1,28,3,29,1,28,1,30,1,29,1,28,1,30,1,29,1,28,1,6,1,28,1,29,1,28,4,30,2,29,1,7,1,13,1,6,1,8,1,13,1,9,1,8,1,9,1,11,1,9,1,11,1,9,3,16,1,8,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,13,1,9,1,11,1,9,1,11,2,9,1,11,1,9,1,11,2,16,1,17,1,11,1,9,1,11,2,16,1,11,1,17,3,9,1,13,1,30,1,28,5,6,1,28,2,29,1,13,1,8,1,9,1,11,2,16,2,17,1,11,1,16,1,11,2,16,1,17,1,16,1,11,1,17,1,16,2,11,1,9,1,11,2,16,1,11,1,10,1,11,3,16,1,9,1,11,3,9,1,13,1,9,4,11,1,16,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,9,1,11,1,16,2,11,1,16,1,10,1,16,1,10,1,16,2,11,1,9,1,11,3,16,2,11,2,9,1,11,1,9,1,16,1,11,1,16,1,17,1,11,1,16,1,17,1,11,1,16,1,9,1,11,2,9,1,16,1,11,3,16,1,13,1,9,4,13,3,9,4,13,1,9,2,13,1,9,1,13,2,9,2,13,1,9,1,11,1,9,7,16,1,11,1,9,1,11,1,10,1,9,6,11,1,13,3,9,2,13,1,11,1,9,2,13,2,8,1,9,2,13,1,6,2,13,1,9,6,8,1,13,1,9,1,13,1,8,1,9,1,13,2,9,2,8,1,11,1,9,1,13,2,9,1,13,1,6,1,13,1,9,1,6,1,13,1,8,2,9,1,13,3,30,1,13,1,30,1,6,1,28,1,33,107,5,626,13,1,30,1,28,9,30,2,28,1,6,1,30,1,28,1,6,3,13,1,30,1,13,4,6,1,30,2,13,1,6,1,13,1,6,1,13,1,30,1,6,2,13,1,30,1,28,1,30,1,28,9,30,1,28,1,30,1,6,2,28,1,6,1,28,11,30,3,28,1,30,1,28,24,30,3,28,1,6,1,28,1,6,1,28,13,30,1,6,1,28,9,6,1,5,266,13,1,28,6,30,1,28,1,8,1,13,1,6,2,13,1,9,1,17,3,11,1,16,1,9,1,8,1,7,1,28,1,29,1,7,1,8,2,24,1,12,3,8,1,28,6,13,1,14,1,9,1,7,1,6,1,29,1,30,1,28,1,30,1,28,22,29,1,13,1,14,2,10,1,9,1,8,1,9,2,12,1,10,1,6,1,8,1,13,1,6,1,13,1,29,1,6,1,7,1,24,1,11,1,17,1,7,1,28,4,13,1,}, {24,1,10,1,9,1,13,1,30,1,28,5,30,1,7,1,24,1,8,1,7,2,30,2,29,1,6,1,17,1,24,1,6,1,28,33,30,3,29,1,6,1,24,1,8,2,9,1,11,1,17,1,14,1,8,1,13,1,6,2,30,1,29,2,24,1,14,1,13,2,9,2,13,1,8,1,9,2,13,2,8,1,15,1,14,1,13,1,30,1,7,1,30,1,24,1,9,1,17,3,9,1,17,1,11,1,17,1,11,1,17,11,11,1,6,1,28,10,29,1,28,13,6,1,8,1,9,1,8,1,9,1,16,1,9,2,8,1,6,1,28,1,6,1,29,1,13,1,24,1,11,1,17,1,11,1,9,1,11,1,10,1,8,1,13,5,11,1,12,1,17,3,13,1,6,1,28,8,30,1,28,4,6,1,17,9,16,4,11,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,4,16,1,17,3,16,1,17,1,16,3,17,1,16,2,17,1,16,2,17,2,16,3,17,3,16,2,17,1,16,1,17,2,16,2,17,2,16,3,17,4,16,1,17,1,16,1,17,2,16,4,17,1,16,1,17,1,16,10,11,2,16,1,11,1,16,1,9,2,11,1,9,1,11,1,16,1,9,1,8,1,9,1,16,1,9,1,10,1,16,1,9,1,11,2,9,1,8,1,9,1,13,1,11,1,9,5,13,1,9,2,11,1,8,1,9,2,13,1,16,1,13,1,9,3,13,1,9,1,13,1,11,2,10,1,11,1,9,1,11,3,9,1,11,1,9,3,11,2,9,1,10,1,13,1,9,3,13,1,9,2,8,2,9,1,13,1,8,1,13,1,9,2,8,2,9,2,8,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,9,1,11,2,9,1,11,1,9,1,11,4,16,1,9,1,11,1,16,1,11,1,16,1,11,1,17,1,9,1,11,2,16,4,17,1,16,8,17,1,16,5,17,1,16,1,17,4,16,2,17,2,16,1,17,32,16,1,11,2,10,1,9,2,10,1,11,3,9,2,11,4,9,3,10,1,16,1,11,2,9,1,11,1,16,1,9,1,11,1,16,3,9,1,11,3,9,3,8,1,13,7,7,2,13,2,7,1,13,3,7,2,6,1,8,1,13,1,8,1,13,2,10,1,8,1,9,2,11,2,16,2,17,15,16,1,17,2,16,1,17,1,16,5,11,2,16,3,17,1,11,2,16,1,11,1,16,1,17,1,11,1,16,2,11,1,16,1,11,1,17,2,16,5,17,1,16,3,11,1,16,3,11,1,16,5,11,1,9,1,16,1,9,1,10,1,9,3,11,4,10,1,9,1,16,1,9,1,16,1,11,2,9,1,8,1,11,1,9,4,13,2,10,1,8,1,9,1,16,1,9,3,11,1,9,1,11,2,9,1,16,1,11,1,16,1,9,1,16,1,11,3,16,1,11,1,16,4,17,1,16,3,9,4,8,1,9,1,13,1,9,1,8,4,13,1,9,2,8,1,9,1,16,6,17,1,16,2,11,1,9,2,13,1,9,1,13,2,8,1,13,1,8,2,13,1,9,4,8,1,10,1,9,2,13,1,9,3,10,1,9,1,11,2,16,1,11,1,16,1,11,1,17,1,16,6,11,1,16,4,11,1,17,1,16,2,17,1,16,3,17,5,16,1,11,2,10,1,11,1,8,1,9,2,13,1,11,1,24,1,9,1,8,1,24,1,13,1,8,1,13,1,7,2,13,2,8,1,29,1,6,1,30,2,29,3,28,1,6,1,28,1,29,1,30,1,28,1,30,3,28,11,30,1,28,36,30,1,28,90,30,1,28,2,30,1,28,1,30,3,28,2,29,1,28,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,6,2,30,2,13,5,9,2,10,1,16,1,10,1,11,2,16,1,10,1,11,1,9,1,11,2,10,1,11,1,16,1,9,1,16,1,11,3,9,2,8,1,10,1,9,1,10,1,11,3,9,2,8,1,6,1,28,14,13,1,8,1,9,1,12,1,11,1,16,6,11,1,16,1,17,1,11,1,16,1,11,1,9,1,16,1,9,4,11,1,9,3,10,1,9,1,11,1,9,2,10,1,9,1,11,1,9,1,11,2,9,2,17,1,9,2,11,1,16,1,9,1,16,1,9,1,11,1,9,2,16,2,9,1,16,3,11,4,9,1,11,3,10,1,16,1,9,1,16,2,17,3,16,1,17,2,11,1,9,1,11,1,9,1,13,1,9,3,16,1,9,1,11,1,9,1,13,2,9,3,13,1,8,1,10,1,9,2,8,1,13,1,9,2,13,1,9,2,13,2,9,3,13,1,9,4,10,1,16,1,9,6,10,2,9,2,11,2,9,1,11,1,9,1,11,1,9,1,8,1,9,5,13,1,9,1,6,1,13,1,8,1,13,1,9,1,13,2,8,1,13,1,9,3,13,5,9,1,11,1,9,1,13,1,9,1,11,1,9,5,8,1,9,1,13,4,8,1,13,4,6,1,30,1,13,2,30,1,28,2,13,1,33,108,5,625,28,11,30,1,28,2,30,3,6,1,13,1,6,2,13,2,30,1,28,1,6,3,30,1,13,1,30,1,6,1,13,1,6,1,13,1,28,1,30,1,13,3,28,1,6,1,30,1,28,6,30,1,28,3,6,1,28,1,6,1,28,1,13,1,28,1,30,2,28,2,30,1,28,5,30,1,28,2,30,2,28,1,30,1,28,20,30,1,28,2,29,1,30,1,28,1,6,1,28,15,30,1,28,12,6,1,5,262,6,1,28,7,30,1,13,1,7,1,6,2,29,1,11,1,17,3,9,2,10,1,13,1,28,1,29,1,30,1,7,2,8,1,10,1,17,3,13,1,28,6,9,1,14,1,9,1,30,1,7,1,30,3,28,1,7,1,28,22,6,1,17,2,16,1,9,1,8,2,12,1,11,1,17,1,13,4,6,1,8,1,13,1,8,2,9,1,10,1,13,1,28,4,6,1,}, {8,1,24,1,15,1,8,1,30,1,28,2,30,1,28,3,13,1,8,2,30,1,13,1,6,1,29,1,30,1,8,2,10,1,29,1,28,34,30,1,28,1,6,2,9,1,8,1,12,2,17,1,15,1,9,2,6,2,29,2,28,1,6,1,8,1,9,1,8,1,9,1,8,1,24,1,13,2,8,1,24,2,30,1,9,1,17,1,9,1,24,1,6,1,13,1,6,1,8,1,24,1,12,1,17,1,12,1,17,1,16,1,17,3,12,1,17,10,11,1,29,1,30,1,28,3,30,1,28,19,7,1,9,2,17,1,14,1,15,1,14,1,13,1,30,1,6,1,30,1,6,3,8,1,11,2,17,1,9,1,16,1,10,1,9,1,24,1,7,1,13,1,8,2,9,2,17,3,13,1,28,1,30,1,28,3,29,1,28,9,17,10,16,3,17,1,16,5,17,3,16,1,17,1,16,3,17,1,16,1,17,4,16,1,17,2,16,5,17,3,16,2,17,2,16,1,17,1,16,2,17,2,16,3,17,2,16,1,17,1,16,2,17,6,16,2,17,3,16,3,17,1,16,7,11,3,16,2,11,1,16,2,9,1,11,3,16,1,11,1,9,1,11,2,9,1,10,1,9,1,13,1,9,1,11,1,9,1,10,1,11,1,9,6,13,1,9,5,13,1,9,5,10,1,9,3,11,1,9,1,11,1,9,3,11,2,9,6,11,1,13,1,9,6,8,1,9,3,8,1,9,1,11,2,9,1,8,2,9,2,10,1,9,1,11,1,9,2,8,1,11,1,10,1,11,1,9,1,13,1,9,1,11,2,9,1,10,1,11,1,16,2,9,1,17,1,9,1,11,1,9,1,11,2,9,2,11,1,16,1,9,1,11,1,16,1,11,2,16,1,11,1,10,1,17,1,16,2,17,2,16,2,17,1,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,2,16,7,17,3,16,2,17,1,16,1,17,32,16,1,11,1,10,1,9,2,11,1,9,2,11,2,9,1,11,1,9,1,11,2,9,1,11,1,9,1,16,1,9,1,13,1,10,1,9,1,11,1,9,3,11,1,10,1,16,1,10,1,11,1,16,1,11,2,8,1,9,3,13,2,7,1,13,7,7,1,13,3,6,1,13,4,7,2,13,2,6,1,8,1,10,1,9,3,11,1,9,1,11,3,9,1,16,2,17,11,16,1,17,1,16,1,17,1,16,1,11,1,16,7,11,1,16,7,17,1,11,1,16,6,17,1,16,1,17,1,16,3,11,1,16,2,11,1,16,1,11,2,16,1,11,1,10,1,16,1,11,1,16,1,10,1,11,1,9,1,16,1,9,1,11,1,10,1,16,1,11,1,16,1,11,3,16,1,9,11,13,1,9,3,11,1,9,2,11,1,9,2,11,1,9,2,11,1,16,2,11,1,10,1,16,1,10,1,16,1,11,1,16,4,17,1,16,2,17,1,16,4,9,7,8,1,13,3,9,1,13,1,8,3,9,1,16,1,11,2,16,6,11,1,9,3,8,2,6,1,13,2,6,1,13,1,9,3,11,1,10,2,9,1,8,1,9,5,16,1,11,4,13,1,11,3,16,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,2,17,5,16,1,17,8,9,1,8,1,10,3,8,2,9,1,8,1,13,1,8,3,6,2,7,1,13,1,6,1,30,3,28,1,6,1,30,1,28,3,30,1,6,1,30,1,29,1,30,1,29,1,30,1,28,2,30,2,28,2,30,2,28,38,29,1,28,108,30,1,28,1,6,2,28,1,29,1,28,1,13,1,6,1,7,1,13,1,24,1,8,1,9,1,13,1,8,1,10,1,11,1,10,2,9,1,16,1,12,1,9,1,11,4,9,1,11,1,10,1,9,1,10,1,11,1,17,2,8,3,13,3,6,1,28,17,30,1,13,1,29,1,13,1,9,1,16,3,9,1,16,2,11,4,16,1,11,6,9,2,11,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,13,1,9,2,11,3,9,1,16,1,11,3,9,1,11,1,16,3,11,2,16,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,11,3,17,1,16,2,11,2,17,1,16,1,17,7,16,2,11,3,10,1,11,1,16,1,9,2,11,2,13,1,11,1,13,1,9,1,8,1,13,1,9,2,11,1,8,1,9,5,13,1,9,3,11,1,13,2,9,4,11,1,9,3,11,1,16,1,11,1,9,1,11,1,8,1,11,1,10,1,9,4,16,1,9,2,10,1,8,1,11,1,16,1,11,1,13,5,9,2,13,1,11,1,8,1,9,1,13,2,8,3,9,3,13,1,6,1,13,1,9,1,11,1,9,2,13,1,9,3,13,1,9,1,8,1,13,1,8,2,13,1,9,1,13,3,9,1,6,1,13,3,28,1,6,1,30,1,6,1,33,111,5,624,13,1,28,14,30,2,13,1,30,3,6,1,30,1,28,3,30,1,28,1,30,2,28,2,13,2,30,1,6,4,13,1,6,1,30,1,13,1,30,1,28,2,30,3,6,1,28,1,6,4,30,3,28,1,6,2,30,1,28,12,30,1,28,24,30,3,28,2,30,1,28,2,30,1,28,11,30,1,28,1,6,1,28,10,5,1,33,2,5,258,13,1,28,7,30,1,6,1,13,1,7,1,6,1,13,1,8,1,17,3,9,1,24,2,13,2,29,1,6,2,7,1,8,1,11,1,17,3,6,1,28,6,8,1,14,1,9,1,6,1,7,1,28,2,30,1,28,24,6,1,17,2,9,1,10,1,8,1,9,1,13,1,17,1,10,1,13,1,8,1,13,1,8,1,13,1,8,3,9,1,16,1,10,1,6,1,28,4,6,1,}, {8,2,15,1,13,1,6,1,28,6,13,2,8,1,6,1,29,1,28,1,13,1,6,1,8,1,15,1,8,1,7,1,28,34,29,1,28,1,29,2,8,1,10,1,9,1,10,1,9,1,14,1,12,1,24,1,8,1,7,1,28,1,6,1,29,1,7,1,10,1,12,1,10,1,9,1,13,1,8,1,6,1,7,1,9,1,24,1,13,1,7,1,13,1,15,1,17,1,13,1,30,1,6,1,7,1,30,1,10,2,17,18,11,1,13,1,30,2,28,3,30,2,28,1,30,1,29,1,28,14,30,1,13,1,24,1,11,1,17,1,14,2,15,1,8,1,6,2,29,1,7,1,6,1,10,2,9,1,12,1,11,1,17,1,10,1,13,1,8,2,13,2,24,1,9,1,24,1,10,1,9,1,17,1,8,1,6,1,28,4,30,1,28,4,30,1,28,3,6,1,17,6,16,1,17,4,16,2,17,2,16,1,17,1,16,1,17,10,16,1,17,2,16,1,17,4,16,2,17,1,16,1,17,1,16,1,17,3,16,2,17,3,16,2,17,2,16,1,17,2,16,7,17,1,16,2,17,1,16,1,17,1,16,2,17,3,16,2,17,1,16,1,11,1,16,3,11,1,16,1,11,1,16,2,9,1,11,3,16,1,11,1,16,1,11,1,9,1,11,2,9,1,11,2,9,2,11,4,8,1,10,1,11,1,9,1,11,1,8,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,2,10,1,11,1,9,1,11,1,9,1,11,1,9,3,8,1,9,6,10,1,13,1,9,1,13,2,9,1,8,1,9,4,11,1,9,2,10,1,9,4,11,1,9,2,8,1,9,1,8,1,9,1,16,1,9,1,16,1,11,3,16,1,11,2,9,1,11,2,16,1,10,1,11,2,16,1,10,1,16,1,11,2,9,1,11,2,9,1,11,1,9,1,16,2,17,1,16,4,17,12,16,3,17,1,16,1,17,1,16,5,17,40,16,2,11,1,10,1,9,1,11,1,9,1,11,1,16,1,9,1,10,1,11,1,8,1,11,2,10,1,11,3,8,1,11,3,16,2,9,3,13,1,9,1,11,2,9,5,13,1,9,1,13,1,7,1,8,2,13,3,6,1,13,1,7,1,8,1,13,1,8,1,13,4,7,1,8,1,7,1,13,2,30,1,13,1,7,1,13,2,8,1,9,2,10,1,9,1,10,3,9,2,16,1,9,1,16,3,17,15,16,1,17,1,16,1,9,1,17,1,11,1,16,1,11,1,16,6,17,1,16,4,17,2,16,1,17,1,16,1,17,2,11,1,16,2,11,1,16,1,11,1,16,3,9,1,11,1,10,1,11,3,16,1,10,1,9,1,11,1,16,1,9,1,11,1,16,1,10,1,11,1,9,1,11,1,9,2,11,2,10,1,9,6,11,1,9,1,11,1,9,1,11,1,9,3,13,1,9,2,13,1,8,1,9,1,11,1,9,1,11,1,16,1,11,1,16,3,11,1,16,1,17,1,16,1,17,3,16,2,17,2,16,4,9,2,13,1,9,2,13,2,10,1,13,2,8,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,16,7,11,1,9,2,13,1,7,1,13,3,9,1,13,1,8,1,10,1,9,2,16,1,11,2,9,1,8,2,13,1,9,3,11,2,9,3,10,1,16,1,9,1,11,1,16,1,17,2,16,1,11,3,17,1,16,2,11,3,16,3,17,1,16,1,17,2,16,1,17,8,16,1,8,1,9,2,8,1,9,1,10,1,17,1,9,2,8,1,13,2,8,1,6,1,24,1,7,2,13,1,29,3,6,2,28,2,29,1,6,1,30,1,28,1,30,3,28,6,29,1,30,2,28,1,30,2,28,8,30,1,28,25,30,1,28,99,30,1,28,7,30,1,28,2,30,1,28,4,30,2,28,2,6,1,13,1,30,1,29,1,13,2,8,1,7,1,8,1,9,1,8,2,13,1,9,2,11,1,10,1,13,1,10,1,13,1,9,1,13,2,7,1,6,1,29,1,30,1,28,27,7,1,13,2,12,1,16,2,9,1,16,1,17,1,11,1,16,2,11,1,10,1,11,2,13,1,9,3,11,1,9,2,11,1,9,5,10,1,9,1,11,2,9,1,11,3,9,1,11,1,9,1,16,1,11,1,16,1,11,1,16,2,11,2,9,1,16,3,17,1,11,1,16,5,11,1,17,1,11,1,9,1,13,1,8,2,13,2,9,2,10,1,11,2,16,1,11,3,16,2,11,1,16,1,9,1,11,2,8,2,13,1,9,2,8,1,9,4,8,1,9,2,13,1,8,1,13,1,9,1,8,1,16,1,9,1,13,1,9,1,13,1,9,5,10,1,9,1,11,1,9,6,11,1,9,7,11,1,9,2,11,2,9,1,13,1,8,1,9,2,10,1,13,2,8,1,13,1,9,5,13,8,11,1,9,1,11,1,9,1,11,1,9,6,13,1,9,1,13,2,9,3,8,1,13,3,9,1,13,1,6,1,13,1,6,1,33,112,5,624,28,14,30,1,28,1,30,1,6,2,13,1,6,4,30,3,28,3,30,1,28,2,6,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,2,6,1,30,1,6,2,28,1,30,3,28,1,30,2,6,2,28,1,6,1,28,11,30,1,28,24,30,2,28,18,30,2,28,15,5,256,13,1,28,7,29,1,8,1,6,1,7,1,13,2,24,1,16,1,17,2,9,2,12,1,7,1,6,2,29,1,6,1,7,1,24,1,9,1,11,1,12,1,17,1,7,1,28,6,8,1,14,1,24,1,6,2,30,1,6,2,29,1,28,1,30,1,28,21,6,1,17,2,10,1,9,1,10,1,12,1,17,2,15,1,12,1,13,1,24,1,8,2,24,1,8,1,24,1,15,1,9,1,10,1,7,1,28,4,6,1,}, {24,2,15,1,9,1,30,2,28,5,8,1,24,2,13,1,6,1,13,1,29,1,6,1,8,1,14,1,24,1,6,1,28,34,29,1,30,1,28,1,8,1,12,1,11,1,10,1,9,2,12,2,8,1,13,1,6,1,30,1,29,2,28,1,24,1,9,1,24,1,9,1,8,3,7,1,24,3,6,1,7,1,15,1,14,1,24,1,13,1,6,2,13,1,11,1,17,19,11,1,13,1,28,24,30,1,7,1,24,2,12,1,14,2,10,1,8,1,13,1,6,1,29,1,6,1,30,1,10,1,17,1,10,1,16,1,9,1,16,1,15,1,10,1,13,1,8,1,7,1,24,1,6,1,9,3,12,1,17,1,9,1,6,1,28,1,30,1,28,2,29,1,28,8,13,1,17,16,16,1,17,14,16,1,17,7,16,2,17,1,16,1,17,2,16,1,17,3,16,2,17,5,16,3,17,1,16,1,17,3,16,1,17,1,16,2,17,1,16,7,11,1,16,1,11,2,17,1,16,6,10,1,16,1,11,1,16,5,11,2,9,1,11,1,9,3,16,1,9,1,11,1,9,1,11,1,8,1,11,2,9,3,11,1,9,3,11,3,9,2,11,2,9,2,11,1,10,1,9,3,11,1,9,2,8,1,9,2,10,1,13,4,8,1,10,1,9,2,13,2,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,3,11,1,9,4,11,1,8,2,16,1,11,1,9,1,16,1,11,2,9,1,11,1,16,1,11,1,9,1,16,1,10,1,11,4,16,1,10,1,16,1,11,1,9,1,17,1,9,2,16,1,11,1,16,1,11,2,16,3,17,1,16,1,17,1,16,2,17,8,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,4,16,1,17,25,16,1,17,2,16,1,11,6,9,2,11,1,10,1,11,1,10,1,11,1,9,1,11,2,9,2,10,1,16,2,9,1,16,1,9,2,10,2,11,1,9,2,16,1,11,2,9,4,8,1,9,3,13,1,9,1,6,1,13,3,6,1,13,1,8,1,13,3,8,2,13,2,8,1,13,3,7,1,13,1,7,1,13,1,7,1,13,2,8,1,9,3,8,1,9,1,11,1,9,1,11,4,9,1,11,1,9,1,11,1,16,1,17,13,16,12,17,1,16,1,17,2,16,2,17,2,16,1,17,5,16,1,17,2,11,2,16,2,9,1,16,1,11,3,10,1,11,1,10,1,11,4,9,2,10,1,11,5,10,1,11,1,9,1,11,1,9,1,11,1,9,2,8,1,9,1,11,1,9,1,13,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,16,3,11,4,16,2,11,1,16,5,17,7,16,6,9,1,13,1,9,1,13,1,9,7,10,1,8,1,9,2,11,4,16,6,11,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,11,1,9,2,11,4,16,1,11,2,8,1,11,1,10,1,11,3,9,5,11,1,16,5,17,1,16,4,11,1,10,1,16,2,10,1,11,1,16,4,17,1,16,1,17,10,9,1,11,1,10,1,9,1,11,1,9,1,16,1,11,1,8,1,6,1,9,1,13,2,8,2,7,3,13,1,6,4,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,1,30,3,28,1,29,1,28,1,30,1,28,118,30,1,28,26,29,1,28,2,29,1,28,4,30,3,29,1,30,1,28,5,30,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,30,1,7,1,6,1,30,1,28,1,30,1,28,30,30,1,6,1,28,1,30,1,13,1,11,1,17,2,11,2,9,1,11,4,17,4,11,1,9,1,16,1,9,1,10,1,9,5,11,1,13,1,9,1,11,1,9,1,17,1,10,1,11,2,9,1,16,4,9,1,11,1,16,1,10,1,11,1,9,1,11,3,16,1,17,1,11,1,16,2,11,1,16,1,17,1,11,1,13,2,6,2,28,4,29,1,6,2,30,1,13,1,9,1,17,2,11,1,17,1,16,1,9,1,16,2,11,1,16,1,9,1,10,1,9,2,11,1,9,2,11,2,10,1,9,4,10,1,9,1,13,1,8,1,13,1,9,1,8,1,9,4,10,1,9,1,10,1,9,1,11,2,9,7,13,1,9,1,13,6,9,1,13,2,10,1,9,1,13,3,9,4,13,1,8,1,13,3,9,3,13,1,8,1,9,1,13,2,6,1,13,1,9,4,13,1,7,1,13,2,9,1,30,1,13,1,9,1,13,1,9,2,13,1,10,1,13,2,8,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,33,113,5,623,28,18,30,3,6,1,30,1,6,1,30,1,28,1,6,1,28,2,6,1,28,3,6,1,28,1,30,1,6,3,13,2,30,1,6,3,30,1,13,1,28,1,30,1,6,1,28,1,6,1,28,1,6,2,28,3,30,1,28,3,6,1,28,1,6,1,28,6,30,2,28,3,30,1,28,19,30,1,28,1,13,1,28,6,30,1,28,3,30,1,28,29,5,1,33,1,5,251,13,1,28,6,30,1,28,1,6,1,24,2,29,1,13,1,11,1,17,2,10,2,9,2,13,1,7,1,29,1,6,1,8,3,24,1,17,1,10,1,17,1,30,1,28,6,14,2,24,1,7,1,29,1,6,2,28,25,7,1,17,2,11,1,13,1,9,1,24,1,17,3,10,2,24,1,9,1,24,3,12,1,10,1,17,1,11,1,6,1,28,4,6,1,}, {13,1,24,2,8,1,30,2,29,1,28,4,8,1,9,1,8,2,6,1,8,1,30,1,7,1,6,1,15,1,24,1,6,1,28,34,30,1,28,2,13,1,24,1,9,1,24,1,9,2,17,1,12,1,24,1,13,1,6,3,28,1,30,1,24,1,9,1,17,1,15,1,9,1,13,2,8,1,9,1,24,1,8,1,7,1,8,1,14,2,24,1,30,1,6,2,24,1,12,1,17,8,11,1,17,10,11,1,6,1,28,25,7,1,8,1,9,1,10,1,14,2,10,1,6,1,30,1,29,1,6,2,30,1,9,1,12,1,17,2,12,1,15,1,9,1,24,1,13,1,8,1,13,1,8,1,13,2,24,1,9,1,10,1,17,1,8,1,6,1,28,1,30,2,28,3,30,2,28,2,29,1,28,2,13,1,17,2,16,1,17,17,16,1,17,15,16,1,17,2,16,1,17,1,16,3,17,3,16,1,17,2,16,1,17,5,16,3,17,6,16,3,17,1,16,1,17,3,16,1,11,1,16,4,17,2,16,2,17,1,16,5,9,1,17,1,11,1,17,1,16,3,11,1,16,1,9,1,11,2,9,1,11,1,9,1,11,2,16,1,11,1,9,1,16,2,9,1,16,1,11,2,9,1,10,1,9,2,11,1,9,2,10,1,9,1,11,1,9,4,10,1,11,1,13,1,11,1,9,2,10,1,9,1,10,1,9,1,13,1,16,1,9,1,8,1,11,2,9,3,11,1,9,2,11,1,9,2,11,1,10,1,9,2,10,1,11,2,9,1,11,1,16,1,9,1,11,1,16,1,11,2,16,1,11,3,16,1,11,1,16,1,10,2,16,1,11,5,9,1,16,4,11,2,9,1,16,1,11,1,9,1,16,1,11,1,16,3,17,1,16,1,17,8,16,2,17,2,16,1,11,1,16,5,17,1,16,1,17,41,16,1,11,1,9,3,10,1,9,1,11,1,10,1,11,2,9,2,16,1,9,1,11,1,10,1,11,1,9,3,11,1,9,1,16,1,9,1,11,2,10,1,17,1,8,1,11,1,16,1,11,2,16,1,11,1,8,1,9,4,8,1,9,2,13,2,6,1,7,1,13,1,7,1,13,1,8,1,9,3,8,2,13,2,8,1,13,1,8,1,13,1,8,1,6,1,13,2,7,1,6,2,8,1,13,2,9,1,11,1,9,2,8,2,9,2,10,1,9,2,11,1,9,1,11,1,9,1,11,4,17,1,11,1,16,1,17,11,16,10,17,1,16,1,17,7,16,1,17,1,16,5,9,1,17,1,11,2,16,1,11,2,9,1,16,1,9,3,16,1,9,2,11,4,10,1,16,1,9,1,11,1,16,1,11,1,9,2,11,1,9,1,16,1,9,3,8,1,11,1,9,7,13,2,9,1,16,1,11,1,16,8,17,1,16,1,17,1,16,1,17,3,16,7,9,1,16,1,11,1,9,2,11,1,8,2,9,1,8,1,9,3,11,1,9,1,8,1,9,1,16,1,11,1,16,1,11,1,16,1,17,1,16,4,11,1,9,1,13,2,9,2,10,1,11,7,16,2,17,1,11,1,9,1,11,3,16,1,9,2,11,2,9,1,11,1,16,1,17,1,16,1,17,2,11,1,17,1,16,6,11,1,16,1,11,1,16,2,11,1,17,1,16,2,17,1,16,1,17,10,16,1,9,1,8,1,13,1,9,1,11,1,8,1,9,1,13,2,8,1,13,1,8,2,29,1,7,1,6,2,7,1,6,1,29,1,28,1,30,1,6,1,29,1,28,1,6,1,30,2,6,1,28,1,30,2,6,1,29,1,30,2,28,3,29,1,28,1,30,2,28,4,30,1,28,140,30,1,28,4,30,2,28,3,30,1,28,4,30,1,28,5,30,1,28,3,30,1,29,1,6,1,28,37,30,1,6,1,13,1,11,2,10,1,17,1,10,1,11,3,17,2,11,1,9,1,17,1,11,1,16,1,11,2,9,1,16,2,11,1,8,1,11,1,9,2,11,1,10,1,17,1,9,2,11,1,9,1,13,1,9,2,11,1,9,2,11,1,16,1,10,1,11,1,9,1,11,3,17,2,16,1,17,2,10,1,6,2,28,14,13,1,17,2,12,1,17,3,16,3,11,1,9,5,11,1,9,2,11,1,9,1,11,1,9,1,16,1,9,7,10,2,9,1,11,1,9,1,11,1,9,3,11,1,10,1,9,2,10,1,9,3,11,1,9,5,11,1,9,4,11,2,9,2,11,1,9,1,13,1,9,1,10,1,13,1,11,1,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,1,6,1,13,6,9,1,13,1,9,1,13,4,9,2,8,1,13,1,11,1,6,1,13,6,8,1,9,2,8,1,9,1,33,114,5,623,28,17,30,1,6,1,13,1,6,3,13,1,30,1,28,9,30,1,6,2,28,1,6,1,30,1,13,2,6,2,28,1,13,4,30,1,28,1,6,1,30,1,28,1,30,3,28,2,30,1,28,3,6,1,28,15,30,1,28,16,30,1,28,1,6,2,30,3,28,22,30,1,28,15,5,2,33,1,5,247,13,1,28,8,6,2,8,1,13,1,8,1,16,1,17,3,11,1,10,1,8,1,6,2,7,2,13,2,9,1,16,1,10,1,17,1,11,1,6,1,28,6,9,1,14,1,24,1,6,1,28,1,6,1,28,1,29,1,28,24,7,1,17,2,9,2,24,1,8,1,12,1,17,1,12,3,9,1,10,1,24,1,9,2,24,1,10,1,11,1,17,1,6,1,28,4,8,1,}, {8,1,13,1,17,1,24,1,8,1,29,1,28,5,13,1,9,1,13,1,24,1,7,1,13,1,7,1,6,1,7,1,9,1,24,1,6,1,28,35,29,1,6,2,24,2,12,1,24,1,17,3,24,1,7,1,6,1,30,1,29,2,6,1,13,1,17,2,12,1,9,2,8,3,9,1,6,1,13,1,8,1,15,1,14,1,9,1,30,1,6,1,13,1,24,1,12,1,17,19,12,1,29,1,30,1,28,1,30,1,28,13,30,1,28,7,6,1,13,1,24,1,9,1,15,1,14,1,15,1,9,1,8,1,29,1,13,1,30,1,28,1,6,1,8,1,12,1,11,1,17,2,9,1,8,1,24,1,13,2,7,1,6,1,13,2,10,1,13,1,9,1,15,1,7,1,13,1,28,1,30,1,28,3,30,1,28,4,30,1,28,2,13,1,17,14,16,1,17,21,16,1,17,2,16,1,17,5,16,1,17,5,16,4,17,3,16,1,17,4,16,3,17,1,16,3,17,2,16,11,17,1,11,1,16,2,11,2,17,1,16,3,10,1,9,1,16,1,9,1,11,1,9,1,11,3,10,1,11,1,16,1,10,1,9,1,16,2,11,1,10,1,16,1,10,1,11,2,10,1,11,1,9,2,11,1,9,1,11,2,9,5,11,1,9,6,11,2,13,1,9,1,11,1,9,2,11,1,9,1,11,1,9,4,11,1,9,1,11,1,9,1,16,1,9,3,11,2,9,1,11,2,9,3,11,1,9,1,11,1,9,1,16,1,11,2,16,1,11,1,16,1,10,1,16,1,11,4,16,1,9,1,16,4,11,1,16,1,11,2,16,5,11,1,17,1,16,2,17,12,16,1,17,3,16,1,17,3,16,1,17,36,16,3,17,3,10,1,13,1,9,4,10,2,9,1,16,1,9,1,10,1,11,3,17,1,9,1,11,1,16,1,9,4,13,1,11,1,9,1,11,3,9,1,11,1,17,1,10,1,9,1,17,1,16,1,11,1,9,1,8,3,9,2,13,5,6,1,13,1,7,1,8,3,13,3,9,1,8,2,9,1,13,1,8,1,6,1,13,2,6,1,7,1,30,1,8,1,6,1,7,1,13,1,8,2,13,1,9,6,11,1,10,1,9,3,11,1,10,1,11,1,10,1,16,1,9,1,11,1,16,4,17,12,16,6,17,1,16,1,17,1,16,2,17,3,16,1,17,1,16,1,17,1,16,1,17,1,11,1,17,1,16,1,11,1,16,3,11,2,16,5,11,5,16,3,11,1,16,1,11,2,9,1,16,1,10,1,11,1,9,2,16,2,9,1,11,1,16,1,10,1,9,7,11,1,16,13,17,6,16,1,17,2,16,4,11,1,16,1,11,1,9,3,13,1,9,1,8,1,11,1,9,6,11,1,16,4,17,1,16,4,17,1,9,1,16,1,9,4,11,1,9,1,16,1,11,2,16,4,17,2,16,2,11,2,16,1,11,1,16,1,9,1,11,1,16,1,11,3,16,3,17,4,16,2,17,1,16,2,11,1,16,3,17,1,16,4,17,5,16,1,17,8,9,1,8,1,10,1,11,1,9,1,8,1,7,1,13,2,24,1,6,1,13,1,29,1,13,1,7,1,13,1,6,1,30,1,29,1,6,1,29,1,6,1,30,1,6,1,28,1,29,1,28,1,29,1,28,3,30,2,6,1,29,1,30,1,28,1,30,1,28,3,30,1,28,2,29,1,28,28,6,1,28,183,7,1,28,1,6,1,13,1,7,2,11,1,17,2,11,3,9,5,13,2,9,1,13,1,9,1,10,1,16,1,9,1,11,1,9,1,13,1,9,2,11,2,10,1,11,1,16,4,10,1,17,1,11,1,17,1,16,2,17,1,10,1,8,1,7,1,29,1,28,18,13,1,24,1,17,4,16,1,17,1,11,1,9,4,11,1,9,2,16,1,9,1,10,1,11,1,9,1,11,1,9,1,11,2,9,11,11,2,13,1,11,1,10,1,11,1,9,5,11,1,13,1,11,3,9,1,13,1,9,1,11,1,13,1,9,1,11,1,13,3,9,7,8,1,13,1,11,2,10,1,9,3,13,1,28,1,6,2,13,1,6,1,13,2,6,1,13,2,6,1,13,2,30,1,13,2,8,1,13,3,30,1,13,1,6,1,13,4,9,1,13,1,11,1,9,1,33,114,5,624,28,17,30,1,13,1,6,1,28,1,6,1,28,1,30,1,28,1,30,2,28,8,6,1,28,1,30,2,6,3,9,1,13,1,6,1,13,1,28,2,13,1,6,1,30,1,13,2,6,2,28,1,30,1,13,1,28,2,30,2,28,2,13,1,28,6,30,1,28,3,6,1,28,21,30,1,13,1,28,1,30,2,28,7,30,1,28,15,30,1,28,18,5,246,6,1,28,7,30,1,6,2,8,1,6,1,13,1,11,1,12,1,17,2,12,1,9,1,24,1,13,1,28,1,7,1,13,2,8,1,9,1,11,1,9,1,17,1,10,1,6,1,28,5,30,1,15,1,17,1,8,1,6,1,30,1,29,1,28,1,30,1,28,25,17,1,12,1,9,1,8,1,24,1,9,2,12,3,24,1,9,1,24,3,13,1,10,1,17,1,10,1,9,1,6,1,28,4,29,1,}, {13,1,8,1,12,1,8,1,29,1,28,1,29,1,28,3,29,1,8,1,15,1,9,1,8,1,29,1,6,1,29,1,6,2,13,1,9,1,30,1,28,34,29,1,30,1,28,1,6,1,8,1,10,1,11,1,9,1,12,1,17,1,14,1,24,1,8,1,13,1,7,1,28,1,6,1,30,1,9,1,17,1,12,1,9,1,8,2,24,1,13,1,24,1,12,1,13,1,6,1,8,1,15,2,8,1,6,3,8,1,17,4,12,1,17,15,16,1,30,1,28,1,30,1,28,23,6,1,24,1,9,1,17,2,14,1,24,1,13,1,6,1,29,1,6,2,29,1,24,1,16,1,17,2,10,1,9,1,11,1,13,1,7,1,13,1,6,1,7,1,30,1,13,1,8,1,10,1,13,1,11,1,13,1,7,1,28,1,30,1,29,1,28,4,29,1,28,5,13,1,17,12,16,1,17,23,16,1,17,3,16,1,17,2,16,3,17,1,16,2,17,12,16,2,17,3,16,3,17,2,16,5,17,1,16,1,17,1,16,3,11,1,17,1,16,1,17,1,16,1,9,1,16,1,11,1,16,1,17,1,11,1,16,2,11,1,16,1,10,1,11,4,16,1,11,6,16,1,11,1,9,1,11,1,9,1,16,1,11,1,9,2,11,1,9,1,16,1,9,1,11,2,9,1,11,1,8,1,9,3,10,1,9,2,13,1,11,1,10,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,11,1,9,1,16,1,9,1,16,1,11,1,9,1,11,1,13,1,16,1,9,2,11,3,16,1,11,4,10,1,11,1,9,1,11,1,9,1,16,2,11,1,17,1,11,2,16,1,11,1,16,1,9,2,11,2,10,1,16,6,11,1,16,2,17,1,16,4,17,1,16,1,17,59,16,4,9,2,11,1,9,6,11,1,9,1,11,1,9,1,16,1,11,2,9,2,16,1,11,1,9,1,11,3,9,1,11,1,9,1,11,1,10,1,11,2,17,1,11,2,10,1,11,1,9,1,8,1,13,1,8,3,13,1,9,1,13,3,6,1,13,1,7,1,13,1,8,2,9,1,13,1,8,2,13,2,8,1,9,1,8,1,9,1,7,1,13,1,6,1,13,1,7,1,13,1,29,1,13,1,6,1,7,1,13,3,9,1,8,2,9,2,11,1,9,2,10,1,9,3,11,1,9,1,11,2,16,1,10,1,16,2,11,2,16,2,17,12,16,1,17,2,16,2,17,1,16,1,17,1,16,2,17,2,16,3,17,1,16,2,17,1,16,3,17,1,16,1,9,1,16,1,17,2,16,1,11,1,16,2,11,1,16,3,11,1,16,5,11,2,17,1,11,2,16,1,11,1,10,1,11,1,9,1,11,4,9,1,16,2,11,1,16,1,11,1,16,10,17,1,16,4,17,3,16,1,17,3,16,2,17,1,16,5,11,1,16,2,11,1,9,2,8,1,11,2,9,1,10,1,9,1,11,1,9,1,11,3,16,4,17,1,16,5,9,1,11,1,9,1,16,1,11,1,9,1,11,1,16,1,11,1,16,3,17,2,16,1,17,1,16,1,11,1,16,2,11,1,16,2,11,1,16,1,11,2,16,4,17,1,16,3,17,1,16,2,11,1,16,4,17,2,16,8,17,13,11,1,9,2,11,1,13,2,7,1,24,1,13,1,24,1,6,1,8,1,7,2,13,1,29,2,6,1,29,1,28,2,30,2,29,1,28,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,28,1,7,1,6,1,29,1,28,2,30,1,28,1,29,1,28,30,30,1,28,188,6,1,29,1,13,1,17,2,16,1,11,1,10,1,11,2,9,2,10,1,11,1,10,2,11,2,9,1,11,1,9,1,8,1,10,2,11,1,9,2,16,1,17,1,10,1,11,1,17,1,10,1,16,1,17,2,11,2,10,1,28,24,6,1,7,1,9,1,17,3,12,1,17,1,9,1,13,1,11,1,9,4,11,3,9,7,16,1,9,2,13,1,9,2,11,5,9,1,10,1,11,1,9,2,11,1,9,5,13,1,9,1,11,2,16,1,11,3,13,1,9,1,13,1,9,2,13,2,9,2,11,2,9,8,11,1,9,1,13,3,6,1,30,1,13,4,9,1,13,1,9,1,13,3,9,1,13,2,6,1,13,2,6,1,13,1,7,1,13,2,10,1,13,1,10,1,9,1,13,1,9,1,33,116,5,623,13,1,28,11,6,1,28,5,30,3,28,3,30,2,28,9,6,1,28,4,6,1,13,1,30,1,13,3,6,2,13,1,30,1,6,1,30,3,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,5,6,1,28,12,6,1,28,18,30,1,28,1,30,2,28,8,30,1,28,39,30,1,5,2,33,1,5,1,33,1,5,233,13,1,28,6,30,1,29,1,6,3,30,1,8,1,9,1,17,1,9,1,10,1,9,1,24,2,8,1,7,1,6,3,9,2,17,1,12,1,17,2,28,6,30,1,11,1,17,1,8,1,7,1,6,1,30,1,29,2,28,24,13,1,17,2,9,1,8,1,13,1,24,1,12,2,9,1,12,1,11,1,24,1,9,1,8,1,13,1,8,1,24,1,8,1,12,1,24,1,29,1,28,2,30,1,28,1,13,1,}, {8,1,9,2,13,1,6,1,28,1,30,1,28,4,8,1,12,1,24,1,8,1,24,1,8,1,7,1,30,1,6,1,8,1,17,1,13,1,28,23,30,1,28,10,30,1,6,1,30,1,13,2,10,1,17,1,12,1,9,1,14,2,9,1,24,1,13,1,29,2,6,1,29,1,24,1,17,2,9,1,13,1,8,1,10,1,13,1,24,1,9,1,13,1,6,1,13,1,15,1,14,1,8,1,13,1,6,2,8,1,12,1,17,1,11,1,16,1,17,1,12,2,11,1,17,2,16,1,17,9,16,1,6,1,28,24,30,1,7,1,8,1,9,2,17,2,9,1,6,1,30,1,29,1,6,1,30,2,8,1,10,1,17,1,11,1,17,1,9,2,13,3,6,1,7,1,29,1,8,2,9,1,7,1,9,1,8,1,6,1,30,1,28,1,30,1,29,1,28,7,30,1,28,1,13,1,17,12,16,1,17,55,16,5,17,2,16,3,17,2,16,6,17,1,11,1,16,4,17,2,16,1,17,1,11,1,16,2,11,1,17,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,16,2,11,4,16,2,9,1,11,1,9,1,11,1,9,1,10,1,9,3,8,1,11,1,9,2,11,3,9,2,10,1,9,1,16,1,9,1,11,1,9,1,10,1,11,3,16,1,10,1,16,1,9,1,16,1,10,1,16,2,11,2,9,1,11,1,9,1,10,1,9,2,11,5,16,1,11,1,10,1,11,2,16,1,11,1,17,1,11,2,17,1,16,3,11,1,16,5,11,1,16,3,17,1,16,5,17,1,16,1,17,60,16,1,11,3,9,2,11,2,9,2,16,1,9,1,11,1,9,1,11,1,9,1,10,2,9,2,11,1,9,1,10,1,11,2,9,1,8,1,9,1,10,1,9,1,16,2,11,2,10,1,11,1,8,1,12,1,17,1,9,1,8,2,13,1,8,4,13,1,8,1,13,1,8,1,6,1,13,1,8,2,9,1,7,1,13,1,8,3,13,1,8,4,13,4,8,1,13,2,6,1,7,1,13,1,6,1,8,1,13,3,9,1,13,1,9,1,11,1,9,2,10,1,11,1,9,1,16,1,9,3,10,1,9,1,11,2,16,4,11,1,17,1,11,1,16,3,17,10,16,1,17,1,16,4,17,1,16,2,17,2,16,3,17,2,16,1,17,1,16,2,17,1,16,1,17,1,16,2,17,1,11,1,16,4,11,2,16,1,11,2,16,1,11,1,16,1,11,2,16,1,11,1,16,3,9,1,16,2,17,2,16,1,11,1,16,3,9,1,11,1,16,6,11,1,16,2,17,2,16,4,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,6,11,3,16,1,10,1,11,2,16,1,11,1,16,1,11,1,16,7,17,1,16,1,17,1,16,4,11,1,9,1,11,1,9,1,11,1,16,3,17,2,16,1,17,5,16,2,11,7,10,1,11,1,16,1,17,3,16,1,17,2,16,8,17,1,16,9,17,1,11,1,16,2,17,9,12,1,11,1,9,1,8,1,9,1,8,4,13,1,7,1,13,2,6,2,13,1,6,1,7,1,29,1,6,2,30,1,28,3,29,2,30,1,29,1,30,1,6,1,29,1,28,2,7,1,28,1,29,2,28,1,7,1,28,2,30,1,28,3,29,1,28,21,29,1,30,1,28,192,29,1,13,1,9,1,12,1,11,2,9,1,11,1,9,1,16,1,11,1,9,1,11,1,16,1,10,1,11,1,16,2,10,1,11,2,10,1,11,4,16,1,17,2,9,1,17,2,13,1,6,1,13,1,6,1,28,2,30,1,28,25,30,1,6,1,28,5,13,1,11,1,12,2,17,2,9,2,10,1,11,4,9,10,16,1,9,2,8,1,9,5,16,1,9,4,11,1,16,1,11,1,9,1,16,1,9,1,16,1,9,2,16,1,11,1,16,1,9,1,11,1,9,4,11,1,9,2,11,1,9,1,11,1,10,1,9,1,8,1,10,1,13,5,6,1,28,1,6,1,13,2,6,1,9,1,13,6,9,1,7,1,8,1,13,1,30,1,13,5,9,2,8,1,9,1,13,1,5,1,33,116,5,623,33,1,28,10,6,1,28,6,30,2,6,1,30,1,6,1,30,1,28,11,30,1,28,1,6,1,28,5,30,2,13,1,28,1,13,1,30,1,6,1,28,2,13,1,30,1,6,1,30,1,28,1,6,1,28,2,30,1,28,8,30,1,28,27,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,5,30,1,28,43,30,1,5,232,13,1,28,6,30,1,29,1,6,1,29,1,6,1,30,1,13,1,12,1,17,1,9,1,17,1,9,1,10,1,24,1,8,1,29,1,6,1,7,1,29,1,9,1,16,1,17,1,12,1,17,1,11,1,13,1,28,6,15,1,17,1,24,1,6,1,30,1,6,1,28,1,6,1,28,24,13,1,17,1,16,1,10,1,8,1,13,1,9,1,10,1,12,1,9,1,10,1,13,1,24,1,8,1,7,1,6,1,13,1,24,2,10,1,24,1,6,1,28,4,13,1,}, {6,1,15,2,24,1,7,1,28,2,30,1,29,1,6,1,28,1,13,1,9,1,24,1,9,1,13,1,7,1,6,3,12,1,9,1,8,1,28,2,30,1,28,31,30,1,29,1,6,1,13,2,16,1,10,1,12,2,17,2,24,1,13,2,29,1,7,1,13,1,7,1,8,1,17,2,12,1,8,2,6,1,8,1,24,1,9,1,8,1,13,1,7,1,12,1,14,1,24,1,13,4,12,1,17,8,11,1,17,10,16,1,6,1,28,1,30,1,28,23,13,1,8,1,24,2,17,1,14,1,24,1,6,2,30,2,28,1,6,1,13,1,17,1,11,1,17,1,11,1,13,4,6,1,7,2,29,1,8,4,24,2,29,1,6,1,28,5,30,1,28,2,6,1,28,3,13,1,11,1,17,29,16,2,17,5,16,1,17,3,16,2,17,3,16,1,17,5,16,3,17,3,16,2,17,6,16,2,17,1,16,1,17,2,16,1,17,3,16,1,17,1,16,2,17,1,16,1,17,1,16,4,17,1,16,5,17,1,16,1,11,1,16,5,11,2,16,1,17,1,11,1,10,1,9,1,11,1,16,1,11,1,16,1,9,1,16,1,11,1,9,2,16,1,9,2,11,1,9,1,11,3,9,2,10,1,9,3,8,1,9,2,11,1,9,1,10,1,11,1,17,1,16,2,11,1,16,1,9,1,11,1,16,1,11,2,16,1,11,2,9,1,13,1,9,7,16,1,11,2,9,1,11,1,16,1,11,3,16,1,11,2,16,4,11,2,16,4,17,1,16,3,11,1,17,1,16,3,17,1,16,2,17,1,16,1,17,57,16,1,17,4,11,3,10,1,9,1,11,1,9,2,16,1,9,1,11,2,9,2,16,1,10,1,8,1,11,2,17,1,11,2,9,1,11,7,17,1,10,1,11,1,9,1,16,1,9,1,10,1,9,1,13,2,7,1,13,1,9,1,13,1,8,1,13,1,8,2,6,1,13,1,7,1,13,1,6,1,13,1,7,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,8,3,13,2,8,1,13,1,6,1,13,2,7,1,13,1,7,1,13,3,6,1,13,3,8,1,13,1,8,1,9,3,11,1,9,2,8,1,9,2,11,4,16,1,10,1,11,2,9,1,17,1,11,1,16,1,11,2,16,2,17,11,16,1,17,1,16,1,17,2,16,7,17,1,11,1,17,1,16,2,17,1,16,10,11,1,9,1,16,2,17,1,11,1,16,2,11,1,16,4,17,1,11,2,16,2,11,1,16,1,11,1,16,1,11,1,9,1,16,4,17,1,16,2,11,1,16,2,17,1,16,2,17,1,16,4,17,1,16,1,17,2,16,1,17,1,16,7,17,2,16,3,17,1,16,1,17,1,16,1,9,1,16,1,9,1,11,2,16,1,11,1,16,9,17,1,16,4,11,2,16,1,9,1,16,2,17,1,9,1,16,3,17,1,16,6,17,1,11,2,16,3,10,1,16,2,11,2,17,1,16,2,17,1,16,3,11,1,16,4,17,1,11,1,16,1,11,1,16,3,17,2,16,2,17,1,11,1,16,2,17,1,16,1,17,9,11,1,16,2,10,1,12,1,9,1,13,1,9,1,8,1,13,1,10,1,13,3,6,3,8,1,6,1,7,1,29,1,6,2,30,1,29,1,30,1,6,1,30,1,29,1,7,1,29,3,28,2,29,1,28,1,7,1,29,2,30,1,28,2,30,2,28,23,30,1,28,188,29,1,7,1,29,1,30,1,6,1,28,1,30,2,6,1,13,1,9,7,11,2,16,1,17,2,12,1,16,1,17,1,16,1,17,4,12,2,11,1,28,44,30,1,8,1,12,1,17,3,16,1,11,1,9,1,11,1,9,7,11,1,9,4,16,1,9,3,11,1,9,3,10,1,11,3,9,2,16,1,9,1,11,2,16,1,9,1,11,1,9,2,11,1,13,1,11,1,9,1,11,1,8,1,9,4,10,1,9,3,11,1,9,2,13,1,9,1,13,1,9,2,13,2,8,1,9,1,13,2,6,1,13,9,9,1,13,3,6,1,7,1,6,1,7,1,9,1,13,1,9,1,13,1,11,1,9,2,33,121,5,619,33,1,28,2,30,1,28,14,6,1,28,1,6,1,30,2,28,1,30,1,28,15,30,1,28,1,30,1,28,1,13,1,30,1,13,1,6,2,13,1,6,1,30,1,13,1,6,1,28,1,30,2,28,1,30,2,28,9,30,1,28,30,30,1,28,2,30,1,28,3,6,1,28,51,5,228,13,1,28,6,30,1,13,1,6,2,30,1,6,1,8,1,17,4,24,1,9,1,8,1,24,1,8,1,30,1,29,1,13,2,10,1,12,4,30,1,28,6,12,1,17,1,8,1,7,1,6,2,29,1,28,25,13,1,17,2,9,1,13,1,24,1,8,1,24,1,10,1,8,1,9,1,8,1,13,1,8,1,6,2,13,1,8,1,10,1,17,1,24,1,30,1,28,2,30,2,13,1,}, {6,1,8,1,24,1,9,1,6,1,7,1,6,1,28,1,6,2,30,1,13,1,24,1,8,1,9,1,24,1,6,1,7,1,29,1,13,1,9,1,10,1,30,1,28,33,30,1,28,1,30,2,6,1,10,1,9,2,24,1,12,1,17,1,14,1,12,1,8,1,24,1,13,1,6,2,30,1,13,1,17,3,13,1,8,2,13,1,8,1,24,1,8,1,7,2,17,1,15,1,24,1,8,1,13,1,6,1,8,1,12,1,17,5,16,1,12,1,16,1,11,1,17,8,14,1,17,1,11,1,6,1,28,24,29,1,13,2,8,1,12,1,17,2,24,1,7,1,29,1,30,1,28,1,6,1,7,1,13,1,12,1,17,1,11,2,24,1,13,3,6,1,7,1,6,2,13,2,8,4,28,1,30,1,28,1,30,1,28,10,13,1,12,1,17,30,16,1,17,11,16,1,17,9,16,2,17,3,16,2,17,3,16,1,17,2,16,1,17,3,16,5,17,1,16,1,17,1,16,2,17,4,16,2,11,1,16,2,11,1,17,1,16,6,10,1,16,3,17,1,11,1,10,1,9,1,11,2,9,2,16,1,9,1,11,1,9,1,11,1,16,1,11,2,16,1,9,1,11,3,9,1,11,1,9,1,11,2,10,1,9,1,16,1,11,2,16,2,11,1,16,1,11,1,16,1,9,1,17,1,11,1,16,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,10,1,16,2,11,1,9,2,11,1,13,1,9,1,16,1,11,1,16,1,11,2,16,2,11,3,17,1,11,2,16,1,17,2,16,2,17,2,16,2,11,1,16,6,17,1,16,1,17,3,16,1,17,62,16,2,11,2,9,1,10,1,9,1,11,1,16,1,11,3,9,1,10,1,11,1,9,1,16,2,8,1,16,1,11,1,9,1,10,1,11,3,10,2,11,1,9,2,11,1,10,1,9,2,8,1,9,1,13,1,8,1,13,4,6,1,7,1,6,1,8,1,13,7,9,1,7,1,6,1,13,1,8,2,13,1,8,2,9,2,8,1,11,1,9,2,8,2,7,1,8,2,13,2,8,1,6,1,13,1,6,1,13,1,6,1,13,4,9,5,10,1,9,1,11,1,8,1,9,1,8,1,9,1,10,1,9,1,11,1,10,1,16,1,9,2,11,1,9,1,10,1,16,1,11,1,9,1,17,15,16,1,17,2,16,9,11,1,16,2,11,1,16,10,9,1,16,1,11,1,16,1,11,2,16,4,11,1,16,2,11,1,16,3,9,1,16,2,11,4,16,3,17,2,16,2,17,1,16,3,11,1,17,1,16,4,17,2,16,1,17,4,16,1,17,1,16,4,17,1,16,1,17,1,16,2,17,1,16,2,11,1,16,8,17,1,16,6,17,1,16,5,17,1,11,2,10,1,16,1,17,1,16,1,9,1,16,5,11,2,17,2,16,2,17,1,16,4,11,1,16,2,11,1,16,4,17,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,2,16,1,11,1,17,2,16,4,11,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,11,1,17,6,11,1,9,1,10,2,8,3,13,1,24,1,8,2,13,1,7,1,13,2,7,1,6,1,7,1,6,1,13,1,6,2,29,1,30,3,28,1,29,5,28,1,6,1,29,1,28,1,30,1,28,1,29,1,28,1,6,1,28,1,29,1,28,2,30,2,28,27,30,1,28,188,30,1,28,2,6,1,9,1,8,1,13,2,10,1,9,1,17,2,11,1,9,2,10,1,9,4,30,1,28,1,30,1,28,20,30,1,28,28,10,1,17,3,10,1,11,2,9,1,11,1,16,1,9,1,10,1,9,4,10,1,11,1,9,6,8,1,9,1,16,1,9,1,10,1,9,2,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,11,1,9,2,13,3,9,2,11,1,9,7,11,2,9,2,13,6,9,2,13,1,8,1,13,1,9,1,13,3,9,1,13,1,9,1,13,3,6,1,13,4,6,1,9,1,13,1,9,3,13,2,9,1,33,121,5,619,33,1,28,1,30,1,6,1,30,1,28,14,30,3,6,1,28,1,30,1,28,2,30,1,28,8,30,1,6,1,28,4,6,1,28,1,6,1,13,2,30,1,6,1,30,2,6,1,28,2,6,1,28,56,30,1,28,49,6,1,5,224,13,1,30,1,28,6,7,1,6,2,13,2,8,1,17,4,24,1,9,2,10,1,8,1,13,1,6,1,8,1,13,1,7,1,8,1,11,2,10,1,6,1,28,5,30,1,17,2,9,1,6,2,7,1,6,1,29,1,28,24,8,1,17,2,16,1,8,1,13,1,8,1,15,2,10,1,7,1,13,4,6,2,8,1,9,1,17,1,13,1,28,4,6,1,13,1,}, {6,1,13,1,15,1,24,1,6,1,28,5,6,1,7,1,24,4,7,1,13,1,6,1,13,1,24,1,17,1,8,1,29,1,28,34,30,1,6,1,7,1,8,1,10,1,9,1,12,1,9,1,17,2,15,1,24,1,10,1,24,1,13,1,7,1,13,1,24,1,16,2,11,1,8,2,13,1,7,1,10,1,12,1,24,1,28,1,8,1,15,1,17,1,24,1,7,1,8,1,6,1,8,1,12,1,17,6,16,1,11,2,12,1,17,9,16,1,6,1,29,1,30,1,28,1,30,1,28,21,7,1,8,1,9,1,17,3,13,1,7,1,29,2,6,1,28,2,13,1,10,1,17,2,11,1,9,1,8,2,6,2,13,1,29,1,6,1,13,1,8,1,9,1,24,1,10,1,8,1,28,2,30,1,28,1,30,1,28,9,13,1,17,32,16,1,17,7,16,1,17,1,16,1,17,10,16,1,17,4,16,2,17,3,16,1,17,3,16,1,17,1,16,4,17,1,16,4,17,1,16,1,11,1,16,5,17,1,16,4,17,2,16,3,11,1,16,1,11,2,16,3,17,1,9,2,11,1,16,1,11,2,9,1,16,1,9,1,11,2,9,1,11,3,9,2,11,1,16,1,9,1,11,1,9,1,11,3,9,1,10,1,11,1,9,1,16,1,11,1,17,1,16,2,11,1,16,1,17,1,9,1,11,2,9,1,11,1,16,1,9,2,11,2,9,1,11,1,9,2,11,1,9,1,16,1,11,2,16,5,11,1,16,1,11,1,16,1,17,1,16,5,11,1,16,1,11,1,17,3,16,3,17,1,16,2,17,1,16,1,17,2,16,1,17,60,16,2,11,1,16,1,9,1,11,1,9,1,11,2,9,1,10,1,11,2,16,1,11,6,10,1,16,1,11,2,13,1,16,1,11,1,9,1,13,1,9,1,10,1,8,1,9,3,11,1,9,1,10,1,9,1,8,2,13,1,8,1,6,1,13,1,8,2,13,6,8,1,13,1,6,1,13,4,8,1,13,1,9,1,8,1,9,1,13,1,9,2,8,1,10,1,8,2,13,1,9,1,8,1,13,2,6,1,13,3,6,1,7,2,8,1,13,1,8,1,13,1,30,1,8,1,9,1,13,2,9,1,8,1,9,1,8,1,9,10,11,1,9,2,10,1,9,1,11,3,17,1,16,2,17,12,16,1,17,3,16,1,17,2,16,2,17,2,11,1,17,1,16,2,17,2,16,9,11,1,16,1,17,1,16,1,11,1,16,2,11,1,16,1,17,1,16,3,11,1,17,1,16,1,11,4,9,1,10,1,11,1,16,5,17,1,16,8,11,1,16,2,17,1,16,4,17,1,16,8,17,2,16,2,17,1,16,1,17,2,16,18,11,2,16,3,11,1,9,1,16,2,11,2,16,1,11,1,16,2,9,1,16,1,11,2,16,9,11,4,16,1,11,1,16,1,11,2,17,2,11,3,16,1,11,3,16,11,11,1,16,4,17,1,16,1,17,1,16,1,17,8,16,1,10,1,9,1,10,1,13,1,24,1,8,1,13,1,8,1,7,1,8,3,13,1,8,1,6,1,13,1,30,1,6,1,29,1,13,1,30,1,28,1,6,2,7,2,30,3,28,2,29,1,28,1,29,1,30,1,6,1,28,1,6,1,28,2,30,2,28,11,30,1,28,2,30,2,29,1,6,1,28,1,30,1,28,203,30,1,28,9,30,1,28,2,30,1,28,55,13,1,17,2,9,1,10,1,9,1,11,1,9,1,11,1,16,1,9,3,16,1,9,14,11,1,9,1,13,1,8,1,9,1,11,1,9,1,11,1,9,1,16,1,11,2,9,1,11,1,9,3,13,3,9,1,11,1,9,2,10,1,11,1,9,3,8,1,9,3,8,1,13,4,9,1,13,3,8,2,13,1,6,1,13,3,9,1,13,2,8,1,30,1,13,1,6,3,13,5,9,5,5,1,33,121,5,610,33,1,5,8,28,1,13,1,30,1,28,18,30,1,28,4,30,1,28,10,30,1,28,3,6,3,13,1,30,1,6,1,30,1,6,1,30,3,28,1,30,3,28,5,30,2,28,97,6,1,5,223,13,1,28,6,6,1,30,1,6,1,8,1,13,1,8,1,9,1,17,4,9,1,8,1,24,1,13,1,8,1,13,1,7,1,13,1,7,2,8,1,24,1,9,1,10,1,28,7,16,1,17,1,9,1,7,1,6,1,29,1,30,1,28,25,8,1,17,2,9,1,8,1,9,1,10,2,15,1,9,1,8,1,24,1,13,1,7,2,6,2,24,1,10,1,17,1,10,1,28,5,8,1,}, {7,1,24,1,15,1,10,1,6,1,30,1,6,1,30,2,28,1,6,1,30,1,12,1,8,1,24,1,13,2,30,1,29,1,8,1,24,1,17,1,6,1,30,1,28,23,30,1,28,9,30,1,28,2,8,1,24,2,9,2,13,1,15,1,14,1,10,1,14,1,9,1,24,1,13,2,7,1,13,1,16,1,17,1,16,1,11,1,8,1,13,1,24,1,12,1,9,1,8,1,6,1,8,1,17,2,9,1,6,3,9,2,17,4,16,6,17,6,16,1,17,2,14,1,6,1,28,1,30,1,28,22,29,1,13,1,8,1,9,1,10,1,12,1,17,1,8,1,6,1,30,1,6,1,29,1,30,1,6,1,8,1,17,4,13,1,24,1,7,1,6,1,13,1,6,2,13,1,8,1,13,1,8,2,12,1,8,1,30,1,28,8,30,2,28,3,30,1,17,20,16,1,17,4,16,2,17,15,16,1,17,2,16,1,17,9,16,1,17,3,16,1,17,1,16,1,17,3,16,2,17,2,16,3,17,1,16,1,17,1,16,2,17,1,16,2,17,2,16,1,17,2,16,2,17,1,16,3,11,1,16,2,11,1,16,2,11,1,16,2,11,1,10,2,11,1,16,1,11,4,9,1,16,1,11,7,16,1,11,1,10,1,16,3,9,1,10,1,11,1,9,1,11,4,16,2,11,1,16,1,11,2,16,5,11,2,9,1,16,1,11,1,9,3,11,2,16,1,11,4,16,1,11,1,16,1,11,2,16,1,17,1,16,13,11,1,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,2,16,1,17,59,11,1,16,1,11,1,10,1,11,1,9,1,16,1,9,1,11,5,16,1,12,1,9,1,10,1,9,1,11,1,9,1,11,2,10,1,11,1,9,1,10,1,9,1,8,1,9,4,8,1,11,1,9,1,13,1,9,4,13,1,8,1,13,1,8,1,7,1,13,2,8,1,6,2,7,1,6,1,13,2,6,1,13,1,8,1,7,2,13,3,8,3,9,1,8,1,9,2,8,1,9,2,8,1,9,1,13,1,8,1,7,1,13,1,7,1,13,2,8,1,7,1,13,1,6,1,13,1,7,2,13,5,9,1,13,1,9,1,8,1,9,5,8,1,9,10,16,1,11,1,16,4,17,1,16,2,17,15,16,2,17,1,16,3,17,1,16,4,17,1,16,7,9,1,17,2,16,2,17,1,11,1,16,11,11,2,16,4,11,2,16,11,17,1,11,1,16,3,11,1,16,3,11,1,16,1,10,1,11,1,16,2,11,1,16,7,17,1,16,4,11,1,17,1,16,2,17,1,16,1,17,1,16,9,11,1,16,1,11,1,16,1,11,3,16,1,11,1,10,2,16,1,9,1,10,1,11,1,9,1,17,1,11,2,9,2,11,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,2,16,1,10,2,11,1,16,2,11,1,16,1,11,2,16,3,17,1,16,1,17,1,16,1,17,1,16,12,11,1,17,9,9,1,11,1,9,1,8,1,9,1,8,1,13,2,24,1,8,1,7,1,13,1,24,1,29,1,7,3,6,1,30,1,6,1,13,1,29,1,30,1,6,1,29,2,6,1,30,1,6,1,28,1,30,1,29,1,30,1,28,1,6,1,30,1,29,1,28,5,29,1,28,4,29,1,28,2,29,2,28,1,30,1,28,1,30,2,28,4,30,1,28,2,30,1,28,269,13,1,11,1,17,1,11,4,10,1,11,2,10,1,11,3,9,4,13,1,9,1,13,1,9,3,11,1,13,1,11,1,9,3,13,1,9,3,13,1,16,1,11,3,9,4,13,2,9,6,16,1,11,1,16,1,11,4,9,2,10,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,7,1,9,1,13,7,8,1,13,1,9,1,13,2,6,2,13,2,8,1,13,1,9,3,13,1,9,1,13,1,6,1,33,121,5,619,13,1,28,21,6,1,28,13,6,1,30,1,28,2,13,1,28,1,30,1,13,1,30,1,28,1,30,1,28,1,6,1,30,1,28,4,30,1,28,1,6,1,30,1,28,4,30,1,28,20,30,1,28,27,30,1,28,49,5,222,6,1,30,1,28,5,6,1,28,1,6,1,29,1,8,1,13,2,17,3,12,1,9,1,24,1,8,3,13,1,29,1,13,1,6,2,24,1,10,1,12,1,8,1,28,6,29,1,12,1,17,1,9,1,13,1,6,1,13,1,30,1,28,25,8,1,17,2,13,1,9,1,8,2,15,1,17,1,8,3,29,1,30,1,6,1,29,1,6,1,13,1,9,1,17,1,12,1,28,5,8,1,}, {24,1,9,1,11,1,9,1,13,1,29,2,6,1,28,1,6,1,29,1,13,1,24,2,9,1,8,1,29,1,6,1,13,1,7,1,8,1,9,1,8,1,28,34,6,1,29,1,30,1,13,1,24,3,10,1,9,1,17,2,12,1,15,1,9,2,13,1,24,1,13,1,24,1,14,2,17,1,10,1,8,3,9,1,11,1,17,1,6,1,7,1,24,1,17,1,9,1,29,1,13,2,6,1,9,1,12,1,16,1,17,3,16,1,11,1,17,2,16,1,17,10,13,1,30,1,28,24,6,1,24,3,12,1,17,1,24,1,13,1,6,3,30,1,6,2,9,1,17,1,12,1,17,1,8,1,24,1,13,1,6,1,7,3,13,1,8,1,13,1,8,1,10,1,9,2,6,1,28,4,30,1,28,3,30,2,28,3,6,1,17,24,16,1,17,6,16,1,17,3,16,1,17,2,16,1,17,10,16,2,17,4,16,1,17,3,16,1,17,2,16,1,17,4,16,3,17,2,16,2,17,1,16,10,17,2,16,4,11,2,16,4,11,3,16,1,9,1,16,2,11,1,16,1,9,1,11,1,9,1,11,1,9,1,17,1,9,1,16,1,9,2,16,2,11,1,17,1,11,1,16,3,11,1,9,2,11,1,16,1,11,2,16,2,17,1,16,3,11,2,9,1,16,1,9,1,11,1,16,1,10,1,16,1,9,1,16,1,9,1,17,1,11,1,16,1,17,1,16,1,11,1,16,4,11,1,16,3,17,1,16,2,11,1,17,1,16,2,17,2,16,7,17,7,16,1,17,42,16,1,17,4,16,4,11,1,16,1,17,5,16,5,11,2,10,1,16,1,9,2,11,1,9,3,11,2,10,2,9,1,11,3,10,1,9,1,11,1,9,1,8,3,9,4,8,1,13,1,9,1,8,1,9,2,8,1,11,1,8,2,13,1,9,1,13,2,7,1,13,1,6,3,8,1,6,1,13,1,7,1,6,1,13,3,6,1,13,4,6,1,8,2,13,4,9,4,8,1,9,1,8,3,13,1,7,1,8,1,13,7,6,1,13,1,7,1,13,2,10,1,6,1,8,1,13,1,9,2,10,1,9,2,8,1,9,4,10,1,9,1,8,1,9,1,8,1,9,1,13,1,9,2,11,2,10,1,11,2,16,1,11,1,16,1,17,15,16,1,17,1,16,1,17,5,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,2,16,3,11,1,17,1,16,7,11,1,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,8,11,1,9,1,16,1,10,2,11,6,10,2,9,1,10,1,11,1,9,1,11,1,9,1,11,4,16,5,11,1,16,1,17,1,11,1,16,8,11,1,16,1,11,1,16,1,11,1,16,1,11,1,10,1,9,1,11,1,9,1,16,1,9,1,11,4,9,1,11,2,9,2,13,2,11,5,9,2,11,1,9,7,11,1,9,1,11,2,16,1,11,1,9,2,10,1,16,1,9,1,11,2,9,1,11,1,16,3,11,1,16,4,11,5,16,5,17,1,16,2,17,1,11,1,17,7,9,2,13,1,9,1,8,1,24,2,8,1,13,1,24,1,8,1,24,1,8,1,13,1,8,1,13,1,8,1,13,1,29,1,6,4,29,1,7,1,6,1,30,1,28,1,30,1,28,1,29,2,28,1,29,1,28,1,6,1,28,1,30,1,28,1,29,1,30,1,28,13,29,1,28,5,30,1,28,1,30,1,29,1,28,1,29,1,28,182,30,1,28,21,29,1,28,63,6,1,17,2,9,1,11,2,9,2,11,4,9,3,8,1,13,1,9,2,13,2,9,1,13,1,11,1,9,2,13,1,9,4,13,2,9,5,10,1,9,2,8,2,9,4,13,5,9,1,11,2,9,3,11,2,9,3,11,1,8,1,9,4,13,1,9,1,13,1,9,1,13,5,7,1,13,2,6,2,28,1,30,1,13,3,11,1,9,2,13,1,11,1,9,3,13,1,30,1,33,120,5,619,33,1,13,2,30,1,28,19,30,1,28,1,30,1,28,12,13,1,28,1,13,1,6,1,13,1,28,4,6,1,28,2,30,1,28,5,30,1,28,4,30,2,13,1,6,1,30,2,28,2,30,1,28,43,30,1,28,47,33,1,5,220,13,1,28,6,13,1,6,2,28,1,13,3,16,1,17,2,10,1,24,1,8,1,13,2,6,1,13,1,7,1,8,3,9,1,10,1,12,1,9,1,29,1,28,5,29,1,14,1,17,1,9,1,13,1,7,1,6,1,30,1,28,25,8,1,17,2,13,1,24,1,9,1,13,1,12,2,9,1,24,1,8,1,29,1,28,1,6,1,28,1,6,1,24,2,17,1,9,1,28,2,30,1,28,1,29,1,10,1,}, {13,1,9,1,15,1,9,1,13,1,30,1,6,2,28,1,6,2,7,1,24,1,9,1,7,1,8,1,13,1,7,1,8,1,29,1,10,2,8,1,28,35,29,2,6,1,10,1,11,1,9,3,11,1,10,1,16,1,9,1,8,1,9,1,13,1,8,1,7,1,24,1,17,3,16,1,9,1,24,2,10,1,12,1,9,1,6,1,7,1,9,1,15,1,9,1,6,1,13,1,29,2,12,1,10,1,17,4,16,1,10,1,17,1,16,2,17,10,13,1,28,3,30,1,28,21,13,2,8,2,9,1,17,1,9,1,13,1,7,1,30,1,6,2,29,1,6,1,16,1,12,1,17,1,11,1,12,1,24,1,7,1,13,1,6,1,7,1,30,1,13,1,7,1,8,1,13,1,9,3,28,2,30,4,28,1,29,1,28,6,8,1,11,1,17,23,16,1,17,1,16,1,17,2,16,2,17,7,16,1,17,11,16,3,17,5,16,1,17,3,16,1,17,1,16,1,17,1,16,1,17,2,16,2,17,1,16,2,17,1,16,5,17,4,16,2,17,1,11,1,17,1,11,2,16,1,11,1,16,1,11,2,9,1,11,2,16,4,11,1,9,1,11,2,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,3,9,1,11,2,16,3,11,2,16,1,11,1,16,1,11,1,16,5,11,1,9,1,11,1,16,6,11,1,16,1,17,1,16,2,11,3,16,6,11,1,16,3,11,2,17,1,11,1,16,1,17,1,11,1,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,50,16,6,11,1,9,3,11,3,9,2,11,1,9,4,16,1,11,4,10,1,9,1,11,1,10,1,9,1,11,3,9,1,10,1,9,2,11,1,9,4,13,1,9,1,13,1,9,1,8,3,13,2,9,3,8,2,9,1,13,1,9,1,13,1,8,1,13,5,6,1,13,1,6,1,8,1,7,2,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,4,8,1,13,1,8,1,9,3,8,1,9,2,8,2,6,2,9,1,13,2,8,1,13,2,7,2,13,4,6,1,8,2,13,1,6,1,8,1,9,1,8,3,13,1,9,1,8,1,9,4,8,3,9,3,8,1,9,1,10,2,9,4,11,1,9,1,16,1,17,1,11,1,17,15,16,5,17,1,16,1,17,1,16,1,17,1,16,2,17,8,16,1,17,3,16,1,17,1,11,1,16,2,11,2,16,2,11,1,16,2,11,1,16,1,11,3,16,2,17,1,11,4,16,1,9,1,11,4,16,1,11,3,16,2,11,1,16,1,11,2,9,2,16,1,9,1,11,1,9,1,11,5,16,1,9,1,11,1,9,1,16,1,11,2,16,3,10,1,16,2,9,2,16,1,9,1,16,2,11,2,9,1,16,1,10,1,11,1,16,3,9,1,11,1,9,1,11,1,9,5,13,2,9,1,11,2,9,6,13,1,8,1,9,1,16,1,8,1,9,2,11,1,9,4,10,1,9,2,11,1,9,1,11,1,9,1,16,1,9,1,11,1,16,4,9,1,16,1,9,1,11,1,16,1,9,1,16,1,9,1,11,1,16,1,11,1,16,1,11,1,16,4,17,1,16,2,17,6,16,2,13,1,10,1,9,2,8,1,9,1,13,1,24,1,13,1,8,1,24,1,10,1,24,1,9,1,8,1,13,1,7,1,13,1,6,1,29,1,7,1,13,1,29,1,6,3,30,2,29,1,30,2,6,2,29,1,28,1,6,1,30,1,29,1,30,1,28,1,30,1,6,1,29,3,28,3,30,1,28,2,7,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,29,1,28,1,29,1,28,267,6,1,17,2,11,3,16,1,11,4,9,3,11,1,9,2,8,1,13,2,9,2,13,1,9,1,13,1,9,1,8,1,9,2,11,1,9,1,11,1,8,1,9,1,13,1,10,1,9,1,11,1,9,2,11,1,9,2,13,1,11,1,9,1,10,1,11,1,9,2,11,2,9,1,11,1,10,1,9,6,8,1,13,1,9,1,11,1,9,1,11,1,13,1,8,1,13,1,8,1,13,1,9,1,13,2,8,1,13,5,30,2,13,1,6,1,9,1,8,1,9,1,8,1,9,1,13,2,9,1,13,1,9,1,13,1,6,1,30,1,33,121,5,618,33,1,6,1,13,1,28,17,30,1,28,4,30,1,28,10,6,3,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,13,1,6,1,30,1,28,1,13,1,28,12,30,1,28,2,30,1,28,17,30,1,28,58,5,220,13,1,30,1,28,4,30,1,6,1,29,1,6,2,29,1,13,1,9,1,12,1,17,2,11,1,24,1,13,1,7,1,13,1,6,1,7,1,6,2,24,1,9,2,12,1,17,1,10,1,28,6,29,1,14,1,9,1,7,1,6,3,28,26,9,1,17,1,12,1,9,2,8,1,9,1,12,3,13,1,9,1,6,1,30,1,6,2,28,1,13,1,8,1,15,1,13,1,28,4,30,1,12,1,}, {8,2,9,1,14,1,7,1,30,1,28,4,6,1,7,1,24,2,9,1,13,1,6,4,12,1,17,1,13,1,28,36,6,1,13,1,10,1,9,1,17,1,12,1,17,4,16,1,24,1,8,1,7,1,13,1,6,1,8,1,17,1,14,1,12,1,16,1,12,1,9,1,8,1,9,1,10,1,8,2,13,1,12,1,17,1,24,1,8,2,13,3,17,5,16,2,17,1,11,1,16,1,17,10,8,1,30,1,28,10,30,1,28,12,30,1,13,1,9,1,24,1,10,1,24,1,17,1,11,1,13,2,29,1,6,2,28,1,6,1,11,1,12,1,17,1,10,1,9,1,7,1,6,1,29,1,7,1,13,1,7,1,6,1,7,1,13,1,6,1,13,1,10,1,9,1,29,1,28,1,29,1,28,1,29,2,28,1,30,1,28,2,29,1,28,2,30,1,6,1,17,24,16,1,17,10,16,2,17,3,16,1,17,10,16,2,17,5,16,1,17,5,11,1,16,1,17,1,16,2,17,2,16,3,17,1,11,1,16,1,17,1,11,1,17,1,16,1,17,1,16,2,11,1,16,2,17,2,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,16,2,11,1,16,2,11,3,16,2,11,1,16,7,11,1,16,4,11,2,16,1,11,1,16,5,17,1,16,2,11,1,16,2,17,1,16,1,11,1,16,4,17,1,16,1,11,1,16,5,17,4,16,2,17,1,16,4,17,1,16,1,17,2,16,6,11,1,16,2,17,45,16,1,11,4,16,1,11,2,9,7,11,1,10,1,9,2,11,1,9,1,16,1,9,2,11,1,9,1,11,1,10,1,16,1,11,1,10,1,12,1,9,1,11,3,9,1,10,2,8,1,11,1,9,2,13,1,9,1,8,1,13,2,9,1,13,5,8,1,9,1,13,2,8,4,13,1,8,1,13,1,9,1,8,1,7,1,13,2,7,1,30,1,6,1,8,1,6,1,8,1,13,1,29,1,6,1,7,1,13,2,29,1,7,1,13,1,6,1,13,4,29,1,13,2,9,2,8,1,9,1,8,1,11,1,13,1,9,1,13,2,8,1,6,2,8,1,13,4,6,1,13,4,6,1,13,1,8,1,13,1,8,2,6,1,8,1,13,1,8,1,13,1,9,1,8,2,9,3,8,2,9,1,8,1,9,7,13,1,9,4,16,3,17,14,16,1,17,1,16,1,17,2,16,1,17,3,16,3,17,9,16,2,17,2,16,5,11,1,17,1,11,1,16,1,17,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,2,9,2,16,2,9,1,11,1,9,2,11,1,9,2,11,1,9,2,11,1,9,3,11,2,9,1,11,1,9,5,11,1,9,2,11,3,16,2,11,1,16,3,11,1,16,1,9,1,16,1,9,1,16,1,9,1,16,1,9,1,16,1,11,1,16,1,11,1,9,2,16,2,9,1,11,2,9,1,11,1,9,1,13,1,11,1,9,11,13,1,9,2,13,1,9,1,11,1,13,1,11,1,9,1,8,1,11,1,13,1,11,1,9,1,10,1,9,2,11,2,9,1,11,3,16,1,9,1,11,3,9,2,11,1,9,1,10,1,11,1,8,1,16,1,11,1,16,1,10,1,16,2,17,1,11,2,17,1,16,2,11,1,17,8,11,1,8,2,9,1,8,3,24,2,10,1,13,1,24,1,8,1,12,1,24,1,7,1,13,1,6,1,7,1,29,1,13,1,30,2,6,1,13,2,6,1,30,1,29,1,28,1,13,1,6,2,7,1,30,1,28,1,29,1,28,2,30,1,28,1,6,1,28,1,30,1,29,1,28,1,6,1,29,1,28,3,6,2,29,1,6,1,29,1,28,4,30,1,29,3,28,14,30,1,28,255,9,1,17,1,11,4,16,2,11,2,9,3,10,1,9,3,8,1,9,2,13,2,9,1,13,1,9,6,16,1,9,1,11,1,16,3,10,1,16,1,11,3,9,1,11,1,9,2,11,1,10,1,9,1,10,1,11,1,9,1,10,1,9,1,13,2,9,2,11,2,9,1,13,1,10,1,9,3,11,1,13,1,11,2,13,1,9,1,8,1,13,1,9,1,8,1,9,1,13,3,8,1,28,2,13,2,6,1,13,1,9,3,13,2,9,1,13,4,30,1,28,1,13,1,33,120,5,619,28,2,30,1,28,34,6,1,30,2,28,14,30,2,28,1,13,1,28,2,6,1,30,2,6,1,28,1,6,2,28,1,30,1,28,12,30,1,28,1,30,1,28,18,30,1,28,9,30,1,28,47,5,219,33,1,6,1,28,3,30,1,28,1,6,1,30,1,28,2,30,1,6,1,9,1,10,1,17,2,16,1,9,1,10,1,8,2,6,2,29,1,13,1,24,1,8,1,24,1,12,2,17,1,28,6,29,1,14,1,10,1,13,1,7,1,29,2,28,26,9,1,17,1,12,1,24,1,9,1,24,1,8,1,17,1,11,2,12,1,8,1,6,1,30,2,29,2,7,1,8,1,14,1,13,1,28,1,30,1,28,3,9,1,}, {6,1,13,1,12,1,15,1,8,1,29,1,6,1,28,2,6,1,29,1,30,1,24,1,9,1,8,1,7,1,29,1,8,1,7,1,6,1,24,1,12,1,9,1,28,20,30,1,28,2,30,1,28,10,30,2,13,1,8,1,9,1,12,1,9,1,10,1,17,4,9,1,24,2,9,1,13,1,24,1,29,1,17,1,14,1,10,1,11,1,12,2,9,1,11,2,8,2,13,1,12,1,15,1,10,1,30,1,13,1,6,2,9,1,17,5,16,1,17,2,11,1,10,1,17,10,9,1,28,25,6,1,8,2,24,1,17,2,15,1,13,2,6,1,30,1,6,1,30,1,13,1,9,1,17,3,13,2,8,1,7,2,29,1,13,1,7,1,6,1,13,2,12,1,10,1,9,1,6,1,30,1,28,5,30,3,28,1,30,1,28,2,13,1,17,19,16,1,17,11,16,1,17,4,16,1,17,2,16,2,17,6,16,1,17,3,16,1,17,1,16,2,17,1,16,1,17,5,16,3,17,1,11,1,17,1,16,6,11,1,16,9,17,1,16,2,11,1,16,1,10,1,16,1,11,1,9,1,11,1,16,2,9,1,16,1,11,1,16,2,11,1,16,9,17,1,16,3,11,1,16,1,11,1,9,1,16,1,17,1,11,1,16,9,17,4,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,3,17,1,16,3,17,1,16,7,17,1,16,2,17,1,16,1,17,1,16,3,17,5,16,1,17,1,16,4,17,41,16,2,11,2,16,1,9,1,11,6,10,1,9,5,11,1,8,1,11,1,9,1,11,5,8,1,11,1,8,1,11,5,10,1,9,1,16,1,11,1,10,1,9,1,11,1,9,2,8,1,13,1,8,1,13,2,9,1,8,1,13,2,8,1,13,1,9,2,13,2,9,1,13,3,8,3,13,4,8,1,13,5,6,1,13,2,7,1,6,1,13,6,8,1,13,4,7,1,13,3,8,2,9,2,10,1,9,2,13,2,9,1,6,1,13,1,8,1,9,2,7,1,8,1,13,7,8,2,13,3,6,1,8,1,13,1,8,1,13,1,8,3,9,1,8,1,13,1,8,2,10,1,9,2,8,2,9,6,10,1,9,2,10,2,11,1,9,1,16,2,17,16,16,2,17,13,16,2,17,1,16,1,11,1,17,1,11,1,9,1,11,1,17,1,16,3,17,1,16,2,9,1,17,1,11,4,16,1,9,2,11,1,9,2,16,1,9,1,11,1,8,1,11,1,9,8,11,1,9,1,11,1,9,3,13,1,8,1,9,1,11,1,9,1,11,1,8,1,16,1,13,1,9,6,11,2,8,1,9,1,11,3,9,1,11,2,9,1,11,2,9,2,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,4,11,1,9,4,13,1,9,1,13,1,9,9,13,1,9,5,16,1,9,2,11,2,9,1,11,1,9,2,16,1,9,2,11,1,8,1,9,5,13,1,11,3,16,2,11,2,16,4,17,1,11,1,16,2,17,5,11,1,10,1,9,1,8,1,9,2,8,1,9,2,8,1,13,1,24,1,6,1,13,1,8,1,13,2,8,1,24,1,7,1,6,2,13,1,7,1,29,1,6,3,13,1,6,1,29,1,6,2,30,1,28,1,30,1,6,1,29,2,7,2,28,3,6,1,30,2,28,1,30,1,28,1,29,1,6,1,28,7,30,1,28,4,29,1,28,9,30,1,28,259,29,1,17,1,11,3,16,2,11,2,9,2,11,1,9,3,11,4,9,1,11,1,9,4,13,1,11,1,9,1,11,1,9,1,11,2,9,3,16,2,11,2,16,1,11,1,16,3,9,4,11,2,9,4,11,1,9,1,11,1,9,2,16,1,9,1,8,1,9,1,10,1,13,1,9,6,13,1,9,1,13,1,9,2,13,2,9,2,13,4,6,1,13,4,10,1,8,1,13,2,9,1,13,1,9,1,13,1,6,1,13,2,33,121,5,617,13,1,28,1,6,1,28,18,30,1,28,15,30,1,28,2,6,1,28,12,6,1,28,2,30,1,28,1,13,2,6,2,28,2,6,1,30,2,28,1,30,1,28,32,30,1,28,59,5,218,13,1,6,1,28,5,6,1,29,2,6,2,29,1,13,1,16,1,17,2,10,1,13,1,11,1,8,1,13,2,6,1,29,1,13,2,8,2,10,1,17,1,24,1,28,6,30,1,17,1,12,1,13,1,30,1,6,1,28,27,9,1,14,1,17,1,24,1,9,2,10,1,17,2,10,2,8,1,6,2,29,2,7,1,13,1,12,1,9,1,8,1,28,1,30,1,29,1,28,1,29,1,15,1,}, {13,2,15,1,12,1,8,1,28,1,6,1,28,2,6,1,28,1,13,1,8,1,13,1,8,1,30,1,6,1,28,1,29,1,30,1,12,1,9,1,15,1,28,34,30,1,29,2,8,1,24,1,9,1,12,2,17,4,16,1,9,1,13,1,8,2,6,2,9,1,17,1,12,1,9,1,8,1,10,1,8,1,11,1,10,1,13,1,8,1,7,1,10,1,17,1,15,1,7,1,30,1,6,1,30,1,8,1,17,3,16,1,17,2,11,1,16,1,11,1,17,11,9,1,28,1,29,1,30,2,28,20,6,2,24,1,8,2,17,3,24,1,6,1,30,3,29,2,12,1,11,2,9,1,8,1,13,1,8,1,13,1,7,1,29,1,13,1,6,1,13,1,6,1,9,3,12,1,13,1,6,1,28,1,30,1,28,2,30,2,28,1,29,1,28,2,30,1,28,1,30,1,17,32,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,6,16,1,17,7,16,1,17,4,16,1,17,2,16,1,11,1,16,1,11,1,17,1,16,1,17,1,16,3,11,1,16,1,17,1,11,1,16,2,11,2,16,5,11,4,16,1,11,1,16,1,10,1,11,3,16,7,11,1,16,2,17,1,16,1,17,2,11,1,16,5,17,3,16,3,17,1,16,5,17,1,16,3,17,8,16,1,17,1,16,1,17,1,16,1,17,1,16,6,17,1,16,1,17,2,16,2,17,1,16,2,17,13,16,1,17,3,16,1,17,41,16,1,11,9,9,2,10,1,9,3,10,2,9,1,11,2,9,1,17,1,9,1,10,1,11,1,9,1,11,1,9,4,11,1,9,4,10,1,9,1,10,1,9,2,8,3,13,3,7,1,13,1,8,3,13,1,8,1,13,1,8,2,13,1,8,3,13,2,8,1,13,1,8,4,13,1,8,2,13,3,8,1,6,1,13,2,7,1,13,3,7,1,13,1,7,1,13,1,8,1,13,3,8,1,13,2,8,1,13,1,9,1,11,1,9,2,13,1,9,1,8,4,13,2,8,2,9,1,8,2,13,1,7,1,6,1,13,1,6,1,13,3,6,1,13,2,8,1,13,5,6,1,8,1,24,1,9,1,13,2,9,1,8,1,9,2,13,1,9,1,8,1,13,1,9,5,8,1,9,5,11,3,17,1,16,2,17,15,16,1,17,2,16,1,17,4,16,3,17,1,16,2,11,1,17,1,16,2,17,1,16,3,11,1,16,1,11,1,16,2,11,1,16,3,11,1,10,1,16,1,11,2,9,1,11,1,16,1,9,1,16,1,9,7,11,1,9,3,11,1,13,1,9,3,8,1,9,1,8,2,9,3,8,1,11,1,9,1,13,1,11,2,9,2,8,1,13,1,9,5,11,1,9,3,11,2,10,1,9,1,16,1,10,1,16,1,9,2,8,1,9,4,11,1,9,6,11,1,9,2,13,1,9,1,8,1,11,1,9,2,13,1,9,2,11,1,9,2,11,1,9,1,11,3,9,3,11,1,9,1,8,1,9,1,16,1,9,3,11,1,9,1,11,1,9,2,10,1,9,1,16,1,13,1,9,1,8,1,9,3,11,1,9,1,11,2,16,1,11,2,9,1,11,1,9,1,16,3,11,1,16,1,11,1,16,1,17,6,9,1,11,1,13,1,8,2,13,1,24,2,7,1,9,2,24,1,17,1,8,2,13,1,7,1,8,1,6,1,13,1,30,1,7,1,13,1,7,1,29,1,6,3,7,1,6,3,30,2,6,2,28,1,29,2,28,1,29,2,30,1,29,2,8,1,6,1,28,1,30,2,28,1,29,1,28,4,30,1,28,5,30,1,28,1,30,1,28,262,30,3,28,3,9,1,17,1,11,1,9,1,16,1,11,3,9,5,10,1,13,1,9,1,11,2,10,1,9,5,11,1,9,3,11,2,16,5,11,1,16,1,11,2,16,1,11,1,9,2,10,1,9,3,16,1,9,2,11,1,9,5,11,1,9,2,16,1,9,2,16,1,9,3,11,1,9,1,11,1,9,2,8,1,11,1,9,1,11,1,9,4,13,1,8,2,13,2,9,1,13,2,11,1,9,2,13,3,9,1,13,1,6,1,13,2,28,1,6,1,33,122,5,616,28,39,30,1,28,4,6,1,28,2,30,1,28,4,30,4,28,1,6,2,28,1,6,1,30,2,6,1,28,1,6,1,28,2,30,2,28,1,6,1,28,30,6,1,28,58,5,217,33,1,28,5,29,1,6,1,30,2,29,1,28,1,6,2,17,3,16,1,8,1,11,1,24,1,8,1,13,1,7,1,6,2,9,1,8,1,10,1,9,2,10,1,28,6,6,1,14,1,17,1,13,1,30,1,28,27,29,1,10,1,17,1,11,1,12,1,9,2,11,1,12,2,10,2,24,1,6,1,30,1,29,2,6,1,13,1,10,1,12,1,24,1,28,2,30,1,28,1,29,1,10,1,}, {13,1,8,1,12,2,8,1,6,1,29,1,28,2,6,1,28,1,29,1,8,1,10,1,8,1,13,1,30,1,29,1,28,1,30,1,10,1,24,1,9,1,30,1,28,33,30,1,6,1,8,1,7,1,9,1,12,1,9,1,17,1,11,1,17,3,11,1,9,1,24,1,8,1,6,1,13,1,6,1,24,1,17,2,16,1,9,1,13,1,8,1,15,1,24,2,9,1,7,1,10,1,12,1,9,1,6,3,13,2,17,3,12,1,17,1,10,1,11,3,9,1,17,10,8,1,30,1,28,3,30,1,28,1,30,1,28,17,30,1,7,1,8,1,24,1,8,1,17,3,7,1,6,1,28,1,29,1,30,2,13,1,11,2,17,1,9,1,6,2,13,3,8,1,13,1,29,1,13,1,8,1,9,2,10,1,9,1,7,1,30,1,6,1,30,3,28,2,30,1,28,1,29,1,30,1,6,1,30,2,11,1,17,33,16,1,17,1,16,3,17,3,16,1,17,3,16,1,17,9,16,1,17,1,16,1,17,1,16,2,17,1,11,1,16,2,11,1,16,4,17,1,16,2,17,2,16,1,17,1,16,5,9,1,11,1,16,1,11,1,16,2,11,1,16,1,11,3,16,4,11,3,16,5,17,1,16,1,17,1,16,1,11,1,16,3,17,1,16,1,17,4,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,8,16,1,17,2,16,1,17,2,16,2,17,1,16,1,17,4,16,4,17,10,16,1,17,1,16,1,17,3,16,1,17,42,16,1,11,2,16,1,11,3,10,1,9,2,10,1,11,1,9,10,10,1,9,3,10,1,9,9,10,1,9,2,10,1,8,1,9,2,7,1,8,1,9,2,7,1,13,3,8,2,13,1,9,1,13,1,6,1,8,1,13,1,7,1,8,1,13,2,9,1,13,1,7,1,13,1,8,1,9,1,13,1,8,1,13,3,9,1,7,1,6,1,7,1,24,1,6,1,13,5,6,1,13,2,7,1,13,2,8,1,7,1,9,1,13,4,9,1,8,1,9,2,11,1,16,1,9,1,13,1,7,1,13,2,8,2,9,1,13,2,8,1,13,2,6,1,13,1,7,1,13,2,7,2,13,2,6,1,13,1,6,1,13,2,8,1,9,1,13,1,8,2,13,1,8,1,13,1,9,2,8,2,13,1,9,2,13,1,9,2,8,1,9,4,8,1,9,1,10,2,9,1,10,1,9,2,11,1,17,1,11,2,16,1,17,12,16,1,17,2,16,1,17,5,16,1,17,2,16,2,17,1,16,2,17,2,16,2,17,3,16,1,17,3,16,2,11,2,16,1,9,1,16,1,11,2,10,1,9,3,10,2,9,2,11,1,9,4,11,2,9,2,11,1,9,1,13,1,9,2,13,1,11,1,9,3,13,1,9,1,11,1,9,5,13,1,9,2,13,1,9,1,10,1,9,2,11,2,16,2,11,2,9,2,11,1,16,1,9,1,11,1,13,1,9,2,10,1,9,3,13,1,9,1,11,1,13,1,9,4,13,1,10,1,9,2,11,1,16,1,13,1,9,2,13,1,11,1,9,2,11,1,16,1,11,1,9,4,13,1,11,1,16,1,9,1,11,1,9,1,10,1,9,2,11,2,9,9,8,1,10,1,9,1,11,1,9,3,16,1,9,1,11,3,16,2,10,1,16,2,9,1,16,3,17,4,16,1,17,1,11,1,9,3,8,1,9,1,8,2,24,1,6,1,9,1,8,1,9,1,13,1,8,1,13,2,9,1,13,1,24,1,7,1,13,1,6,1,13,3,8,2,7,1,6,5,29,1,6,1,29,2,6,1,30,1,6,1,29,1,30,1,28,3,6,1,28,2,30,1,28,6,30,1,28,2,30,2,28,2,30,1,28,6,30,1,28,8,30,1,28,12,30,1,28,208,30,1,28,22,29,1,28,6,17,3,11,1,10,1,11,6,10,1,9,2,11,1,9,1,11,3,9,1,10,1,9,3,11,1,9,3,11,1,16,1,11,1,16,1,11,1,17,1,16,4,11,1,16,1,11,2,9,5,11,3,9,2,16,1,11,1,10,1,9,1,8,1,11,1,9,5,11,2,9,1,11,1,9,2,11,3,9,1,13,1,9,4,13,1,8,1,9,1,13,1,8,1,13,4,9,3,11,1,9,1,13,1,9,1,13,1,9,1,13,2,28,1,13,1,28,1,33,122,5,616,6,1,30,1,28,38,6,1,28,16,30,1,6,1,30,2,28,2,6,1,28,1,13,1,30,1,28,1,6,4,28,12,6,1,28,18,30,2,28,56,5,216,33,1,28,6,6,1,29,2,6,2,29,1,24,1,17,3,12,1,8,1,9,1,12,1,8,1,24,1,29,1,13,2,8,1,9,1,24,1,9,1,12,1,8,1,28,6,6,1,17,1,9,1,7,1,29,1,28,27,30,1,17,2,16,1,11,1,9,1,24,1,8,1,17,1,12,1,17,1,10,1,7,1,13,1,6,2,7,1,6,1,24,1,9,1,12,1,13,1,28,4,30,1,9,1,}, {7,1,24,1,8,1,14,1,8,1,29,1,28,1,30,3,29,2,13,1,9,1,8,1,7,1,29,4,13,1,10,1,17,1,29,1,28,33,30,2,29,1,8,1,24,1,9,1,13,1,12,1,9,1,17,3,16,1,12,1,8,2,7,1,13,1,6,1,8,1,12,1,16,1,17,1,9,2,13,1,10,1,11,1,9,1,13,1,6,1,15,2,14,1,29,1,6,1,13,1,8,2,11,1,17,4,9,1,16,1,11,1,10,1,16,1,17,9,14,1,8,1,28,25,29,1,13,1,24,1,8,1,12,1,17,1,16,1,13,1,30,2,6,1,29,1,30,1,13,1,9,1,17,2,9,1,8,1,13,2,9,1,7,1,9,1,8,1,13,3,24,1,9,2,16,1,29,2,30,1,28,2,30,1,29,3,28,1,30,2,28,1,30,2,17,22,16,1,17,5,16,1,17,1,16,1,17,11,16,1,17,5,16,2,17,2,16,1,17,5,16,1,17,1,16,2,17,1,16,7,17,1,16,5,17,1,16,2,11,1,16,9,11,1,16,1,11,1,16,3,11,1,16,1,9,1,16,5,17,1,16,1,17,7,16,2,17,9,16,1,17,1,16,2,17,1,16,1,17,3,16,1,17,13,16,1,17,4,16,3,17,11,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,44,16,2,11,1,10,1,11,2,9,5,8,1,9,12,10,1,9,1,10,1,9,2,8,2,9,4,11,1,9,1,11,1,9,5,8,1,13,2,7,1,13,5,6,1,13,6,8,1,13,1,9,1,13,1,6,1,8,1,13,1,8,2,24,1,9,1,8,1,13,3,24,1,8,1,6,1,13,2,8,2,6,1,13,1,8,1,13,1,6,2,13,2,7,1,13,1,7,1,13,2,7,1,13,2,8,1,13,1,9,1,11,2,9,1,10,1,9,2,8,1,13,2,8,1,13,1,8,2,13,2,9,1,7,2,13,8,7,2,13,1,8,1,13,1,6,1,24,1,7,1,13,2,8,4,13,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,11,1,8,1,9,2,8,2,9,8,10,1,9,1,11,1,17,23,16,2,17,1,16,2,17,1,16,1,17,4,10,1,17,1,16,2,17,2,16,2,17,1,16,1,11,2,16,1,11,2,9,1,11,1,9,2,11,1,13,1,9,5,13,1,9,2,13,1,9,3,6,1,9,1,13,1,8,1,13,2,9,1,13,1,9,2,13,1,9,3,10,1,9,1,11,1,9,2,11,1,9,1,8,1,9,2,16,2,11,1,9,4,11,1,9,5,11,1,9,2,11,2,9,2,11,2,9,1,16,1,9,2,10,1,11,1,16,1,9,1,11,1,10,2,9,1,11,1,16,1,9,1,11,3,16,1,11,2,9,2,11,2,9,6,11,1,9,1,10,1,9,5,10,1,11,1,9,3,11,1,13,1,9,3,11,1,9,1,11,1,9,1,11,2,16,1,11,3,16,1,17,1,11,1,17,2,10,1,16,1,17,1,16,1,11,1,17,5,11,1,9,1,8,1,9,3,24,1,9,1,8,1,24,1,10,1,7,1,8,1,24,1,13,1,7,1,9,1,8,1,24,1,7,1,13,1,7,2,6,1,29,1,24,1,30,1,29,1,8,1,29,1,30,1,29,1,30,1,6,3,7,2,28,2,29,3,7,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,2,29,1,28,1,29,1,28,2,29,1,28,5,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,3,30,1,28,8,30,1,28,214,29,1,30,1,28,22,6,1,9,1,16,2,10,1,11,1,16,1,11,1,16,2,11,2,9,1,11,1,8,1,9,1,11,3,16,1,9,2,16,1,9,4,11,1,9,2,11,1,9,4,16,2,11,1,16,1,11,1,9,1,11,1,9,1,13,1,8,1,11,1,8,1,9,2,10,1,11,1,9,1,10,1,13,1,9,3,16,1,9,5,11,1,9,1,11,2,9,3,11,2,13,1,9,1,11,1,9,1,8,1,9,1,8,1,9,1,8,1,13,2,8,1,6,1,13,3,11,1,13,1,9,1,13,1,8,1,13,1,7,1,8,1,13,1,6,1,13,2,30,1,13,1,33,123,5,615,30,1,28,1,30,1,28,38,30,1,28,16,6,1,28,2,30,1,6,1,28,2,6,1,28,4,30,1,28,1,6,1,30,1,28,31,6,1,28,54,13,1,5,215,13,1,28,5,30,1,6,1,30,1,6,2,7,1,6,1,9,1,17,4,9,3,13,1,24,1,13,2,8,2,9,1,13,1,10,1,12,1,8,1,28,6,13,1,15,1,9,1,6,2,30,1,28,26,30,1,17,2,11,1,24,2,10,1,11,1,17,1,10,1,17,1,24,1,13,1,7,1,30,1,29,1,7,1,8,1,13,1,17,1,12,1,29,1,28,3,30,1,6,1,15,1,}, {7,1,8,1,12,1,15,1,24,1,30,3,29,1,30,1,6,2,8,1,24,1,9,1,7,1,30,3,7,1,12,1,11,1,17,1,30,1,28,34,29,2,13,1,8,1,9,1,17,2,12,1,17,3,11,1,13,1,24,1,13,3,7,1,10,1,11,1,16,2,9,2,8,1,9,1,10,1,12,1,8,1,13,1,9,1,14,1,17,1,30,1,6,1,8,1,30,1,24,1,17,6,9,1,10,1,12,1,11,1,17,9,14,1,13,1,6,1,28,5,30,1,28,17,6,1,30,1,24,1,9,1,24,1,17,2,16,1,13,1,29,1,6,2,28,1,30,1,13,1,12,1,17,1,12,1,9,1,8,1,13,1,8,1,24,1,13,1,8,1,24,1,13,1,8,1,13,1,24,1,13,1,11,1,9,1,13,1,30,2,29,1,28,1,30,1,28,1,30,3,28,4,6,1,17,21,16,1,17,1,16,1,17,3,16,1,17,3,16,1,17,5,16,2,17,6,16,1,17,2,16,2,17,2,16,2,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,2,17,1,16,7,10,1,16,2,17,1,16,2,11,1,16,13,17,1,11,1,17,1,16,8,17,1,16,4,17,10,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,6,16,1,17,4,16,1,17,1,16,1,17,4,16,1,17,1,16,1,17,3,16,1,17,9,16,1,17,1,16,1,17,3,16,1,17,1,16,1,17,40,16,4,9,1,11,2,9,2,8,1,9,1,8,2,9,7,8,1,9,3,10,1,9,2,8,1,9,3,8,1,9,1,11,1,9,2,11,1,9,1,10,1,9,1,13,1,8,1,9,1,13,1,8,2,13,2,8,1,13,5,8,1,13,1,8,3,13,1,8,1,13,2,8,2,13,3,8,1,13,1,8,1,13,1,9,1,8,1,13,4,8,1,13,3,6,2,13,1,7,1,13,1,6,1,13,1,6,1,13,2,29,1,13,7,9,2,11,1,9,2,13,1,9,1,8,1,13,1,9,2,13,1,9,1,8,1,10,1,13,1,9,1,8,1,6,1,13,15,6,1,8,1,13,2,8,1,13,1,8,2,9,1,13,1,8,2,13,1,8,2,13,1,9,1,10,1,13,1,9,4,10,1,8,1,9,5,16,1,9,4,11,1,9,2,16,3,17,16,16,1,17,1,16,3,17,2,16,2,17,8,16,10,11,2,9,1,10,1,11,1,16,1,9,3,11,1,10,1,9,2,13,1,11,1,9,4,11,1,9,4,10,1,9,6,11,2,16,1,11,3,16,2,11,1,9,1,11,2,9,5,11,3,9,1,11,2,16,1,11,2,16,1,9,1,11,2,9,1,11,1,9,1,16,1,9,1,11,4,9,1,16,1,11,1,9,3,11,3,16,1,9,1,11,1,16,2,11,2,16,2,11,2,9,2,16,1,11,1,9,3,11,4,9,2,11,1,9,1,11,1,9,1,11,1,9,8,11,2,9,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,16,2,11,1,16,2,11,4,16,1,17,4,11,1,17,1,10,1,13,1,10,2,8,1,9,3,7,1,24,3,17,1,12,1,8,3,13,1,9,1,13,1,6,4,29,1,6,1,30,1,7,2,6,1,13,1,8,1,29,2,6,1,7,1,29,1,30,1,6,1,30,3,29,1,30,1,28,1,30,2,28,1,29,2,28,1,29,1,28,2,30,1,29,1,28,3,30,1,28,2,29,1,28,6,30,3,28,3,29,1,28,4,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,7,6,1,28,197,30,1,28,3,6,1,30,2,6,1,29,1,30,1,28,21,13,1,8,1,11,2,10,1,11,1,16,1,11,1,16,1,11,3,9,2,10,1,9,1,11,1,8,1,9,1,11,1,9,1,11,1,9,1,16,1,11,3,9,1,11,1,16,1,9,1,11,1,9,1,11,2,9,1,10,1,11,2,9,1,11,1,13,1,9,2,13,1,11,1,9,6,11,1,9,1,8,1,13,1,9,2,13,1,11,1,10,1,11,1,9,1,11,3,9,1,11,2,10,1,9,2,8,1,11,1,13,1,10,1,9,1,10,1,9,4,13,4,9,1,7,1,13,1,11,1,13,1,11,1,9,3,13,4,28,2,30,1,13,1,33,123,5,614,33,1,28,23,30,1,28,34,13,1,28,1,6,1,13,1,28,8,6,1,28,1,30,1,28,4,6,1,28,26,30,1,28,55,13,1,5,214,6,1,28,5,6,1,29,1,6,1,29,1,6,2,13,1,24,1,17,3,9,4,24,1,7,1,13,2,7,1,24,1,10,1,8,1,9,1,11,1,13,1,28,6,13,1,14,1,12,1,6,1,28,1,6,1,28,1,30,1,28,25,12,1,11,1,12,1,9,2,13,1,17,1,9,1,11,1,24,1,9,1,13,1,8,1,13,2,6,1,13,1,9,1,10,1,9,1,13,1,28,4,6,1,12,1,}, {13,1,7,1,12,1,24,1,8,1,7,1,6,1,30,1,6,1,7,1,29,1,30,1,8,1,9,1,13,2,29,1,6,1,13,2,24,1,12,1,17,1,7,1,28,34,6,1,30,1,6,1,7,1,9,1,8,1,10,1,11,1,17,3,16,1,24,1,8,1,13,2,8,1,28,1,10,1,24,1,17,1,10,1,13,1,8,1,9,1,11,1,12,1,16,1,8,2,16,1,17,1,12,1,6,1,8,2,13,2,17,4,10,1,11,1,10,1,11,1,9,1,10,1,17,9,14,1,13,1,29,1,28,23,29,1,7,1,8,1,9,1,10,1,17,2,14,1,8,1,13,1,30,1,6,1,28,1,6,1,7,1,9,2,17,1,9,1,7,1,13,1,8,1,7,1,6,1,24,1,6,3,8,1,13,1,24,1,9,2,8,1,6,1,29,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,6,1,17,21,16,2,17,2,16,1,17,5,16,1,17,1,16,1,17,3,16,3,17,4,16,1,17,1,16,6,17,3,16,3,17,1,16,3,17,1,11,1,17,2,16,8,17,1,16,2,17,1,16,1,11,1,16,2,17,1,16,1,17,1,16,1,11,1,16,3,17,4,11,1,17,1,11,1,17,1,16,3,17,1,16,2,17,1,16,1,17,4,16,1,17,5,16,1,17,2,16,1,17,4,16,1,17,7,16,1,17,2,16,1,17,8,16,1,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,1,17,6,16,1,17,52,16,1,11,1,16,1,11,1,10,2,9,6,13,1,9,2,13,1,10,1,13,1,9,1,8,1,13,1,8,2,13,1,8,1,9,1,13,1,9,1,8,1,9,6,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,5,8,1,13,3,9,1,13,2,8,2,13,2,8,1,13,2,9,1,8,3,13,2,8,1,13,1,8,2,6,1,9,1,13,1,8,1,13,3,7,1,13,1,7,1,13,2,7,1,13,1,6,1,13,1,7,1,13,1,29,1,6,1,13,1,6,1,13,1,30,1,9,1,8,1,10,1,11,1,9,2,10,1,9,2,8,1,13,3,9,1,8,1,13,1,8,2,13,4,7,2,6,1,13,1,6,1,7,1,8,1,6,1,13,2,6,1,13,6,7,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,8,1,9,1,8,2,13,1,9,2,8,1,9,1,8,1,9,1,11,1,9,3,10,1,9,3,8,1,10,1,9,5,17,5,16,2,17,17,16,1,17,2,16,1,17,2,16,12,11,2,9,1,11,1,16,1,11,2,16,1,11,2,16,1,11,2,9,1,10,1,11,1,9,1,10,1,9,3,13,2,9,1,8,1,9,1,11,1,9,1,16,1,11,1,16,1,11,1,16,2,11,1,16,3,11,1,9,1,11,2,9,1,11,1,9,1,8,1,9,1,11,1,8,1,9,1,16,1,11,4,9,1,11,4,10,1,16,1,11,8,9,1,11,1,9,2,11,4,16,1,11,1,16,1,11,1,16,1,10,1,9,1,16,1,11,2,9,1,11,3,16,1,11,1,9,4,16,1,9,8,13,2,11,1,13,1,9,1,11,1,9,1,11,1,13,1,9,1,13,1,11,1,9,1,10,1,11,4,17,1,16,1,10,1,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,17,3,11,1,9,1,12,1,11,1,10,1,9,1,8,2,24,1,9,2,24,2,9,2,8,1,9,1,10,1,9,1,24,1,6,1,8,2,13,1,6,2,7,1,6,2,13,1,6,1,7,1,6,2,29,2,8,1,6,1,29,2,7,1,6,2,28,1,30,1,29,1,30,1,29,1,28,6,30,4,28,7,30,1,29,4,30,1,28,2,30,1,28,1,6,1,28,4,29,1,30,1,28,5,30,1,28,8,29,1,28,203,29,1,28,1,29,1,6,1,30,1,6,2,28,5,30,1,28,14,13,1,8,1,17,2,9,1,11,4,16,1,9,4,11,1,9,1,11,2,9,2,11,1,9,1,10,1,9,2,11,4,10,1,9,3,11,4,16,1,11,2,13,5,9,4,8,1,11,1,9,5,10,1,13,2,9,3,11,1,9,1,11,1,9,2,11,2,9,2,8,1,9,1,11,1,9,2,13,1,9,4,8,1,9,1,13,2,6,1,13,3,9,3,6,1,9,2,13,3,6,1,13,5,33,124,5,613,28,4,30,1,28,38,29,1,28,14,30,2,28,1,6,1,30,1,28,2,30,1,28,1,6,1,28,4,30,1,28,1,30,2,28,29,30,1,28,55,5,214,33,1,28,2,30,1,28,2,6,1,29,1,7,1,30,1,6,1,29,1,13,1,9,1,17,3,11,1,17,1,8,1,9,2,6,1,13,3,8,1,24,1,9,1,10,1,24,1,6,1,28,6,8,1,14,1,15,1,13,1,30,1,29,2,30,1,28,24,30,1,16,1,17,1,10,1,24,1,10,1,8,1,9,1,17,2,12,1,9,1,8,1,6,1,7,1,6,1,8,2,16,1,10,1,9,1,13,1,28,4,29,1,9,1,}, {8,3,14,1,8,1,6,1,29,1,28,1,29,1,6,3,8,1,10,2,9,1,6,1,29,1,13,1,6,1,9,1,12,2,6,1,28,35,30,1,6,1,8,2,12,1,17,5,16,1,10,1,13,1,29,1,6,1,7,1,28,1,8,1,12,1,16,1,12,1,9,3,12,2,11,1,9,1,13,1,16,1,17,2,6,1,13,2,8,1,24,1,17,4,11,1,10,1,17,1,10,1,9,1,16,2,17,9,13,1,28,25,29,1,9,1,8,1,24,1,9,1,15,1,14,1,24,1,29,1,6,2,29,1,28,1,6,1,9,1,17,1,12,1,11,1,8,4,9,2,6,1,7,1,8,1,13,2,11,1,10,1,9,1,13,1,7,1,30,1,29,1,28,10,13,1,17,19,16,1,17,13,16,2,17,3,16,2,17,2,16,1,17,2,16,1,17,1,16,8,17,1,16,1,17,1,16,2,17,2,16,1,17,2,16,2,17,4,16,1,17,3,16,1,17,4,16,4,17,1,16,3,17,8,16,4,17,2,16,5,17,2,16,1,17,1,16,1,17,4,16,1,17,7,16,1,17,7,16,2,17,2,16,1,17,2,16,1,17,14,16,3,17,1,16,1,17,55,16,1,9,1,16,1,9,1,11,1,9,1,8,1,9,4,13,1,9,1,8,1,13,4,8,1,13,1,8,1,9,2,13,1,8,1,9,2,8,1,9,1,8,2,13,1,9,3,8,1,9,1,13,1,8,1,9,1,13,2,8,1,13,5,9,1,13,2,7,1,8,1,13,3,9,1,13,1,8,1,9,1,8,2,13,2,8,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,6,2,13,2,7,2,13,1,8,1,13,2,6,1,13,2,7,1,13,2,6,1,7,1,6,4,29,1,13,1,9,1,11,2,10,1,11,2,9,1,10,1,13,1,9,6,8,3,13,1,8,2,6,2,13,3,8,1,7,1,8,1,13,3,6,1,13,1,8,2,13,1,6,1,13,1,8,1,13,3,7,1,13,3,8,2,13,1,9,1,8,1,9,1,8,1,9,1,24,1,8,2,9,3,8,1,9,2,11,1,9,1,11,1,8,1,9,2,8,1,9,7,10,1,11,1,9,2,11,2,10,1,17,1,16,4,17,11,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,11,11,9,9,2,10,1,9,1,10,1,9,1,11,1,9,1,11,2,16,1,11,3,16,5,11,1,16,3,11,1,9,1,11,2,9,2,11,1,9,2,11,1,9,1,16,1,11,1,9,1,11,2,9,2,11,1,16,1,11,1,10,1,16,1,10,1,16,1,11,2,10,1,11,1,16,1,11,2,9,1,11,4,9,1,16,1,11,1,9,1,11,1,16,1,9,1,16,1,11,1,9,3,16,3,11,1,16,1,9,1,11,1,16,1,11,3,9,1,11,1,9,3,11,1,13,3,10,1,9,1,13,1,9,5,8,1,9,4,11,1,9,2,11,4,16,1,10,1,16,2,11,1,16,1,11,1,16,2,11,1,16,3,11,1,16,1,17,1,16,1,17,4,9,2,12,1,9,2,24,1,9,1,24,1,8,1,10,1,13,1,9,1,12,1,10,1,8,2,13,4,6,1,29,1,8,1,29,1,13,1,29,1,6,3,29,1,13,1,6,2,13,1,29,1,8,1,6,1,30,1,28,3,6,1,7,1,28,1,30,1,6,1,28,1,29,1,28,1,30,2,6,1,28,1,30,1,28,4,29,2,28,2,30,1,28,1,6,1,28,1,30,4,28,1,30,1,28,1,30,2,28,5,30,1,29,1,28,3,29,1,28,5,29,1,28,2,30,1,28,19,6,1,28,182,6,1,30,1,6,1,13,1,6,1,30,1,29,1,6,4,29,1,28,2,30,1,28,1,30,1,28,8,13,1,28,1,8,1,13,1,11,1,16,1,11,1,16,1,11,4,9,1,11,2,17,1,9,2,11,1,9,1,11,1,9,4,11,3,16,1,11,3,16,1,11,1,9,1,16,1,11,2,16,5,13,4,8,2,11,1,13,1,9,1,11,1,9,4,11,1,9,1,11,1,9,4,10,1,11,1,8,1,11,1,8,1,9,5,8,1,9,4,8,1,9,2,13,1,9,1,13,1,8,1,13,1,6,1,13,7,11,1,9,1,13,3,30,1,13,3,11,1,13,1,33,125,5,613,30,1,28,1,30,2,28,53,30,1,28,2,6,1,28,2,30,1,28,1,30,1,28,5,30,1,28,2,30,2,28,84,33,1,5,213,33,1,6,1,28,1,29,1,28,2,6,1,29,3,6,1,30,1,7,1,11,1,17,3,11,1,9,2,16,1,13,2,6,1,13,1,24,3,9,1,11,1,9,1,7,1,28,6,13,1,15,1,12,1,6,2,28,2,30,1,29,1,28,23,13,1,17,2,10,1,24,1,13,1,9,2,17,1,12,2,10,1,7,1,13,2,6,1,13,1,7,1,12,1,9,1,17,1,28,4,30,1,6,1,9,1,}, {8,1,9,1,24,1,15,1,8,1,7,1,30,1,29,2,6,1,30,2,7,1,10,1,17,1,10,1,6,2,13,1,7,1,8,1,15,1,10,1,13,1,28,34,30,1,7,1,6,1,13,1,24,1,8,1,11,1,17,1,11,1,17,2,11,1,8,1,6,1,8,1,13,1,8,1,6,1,7,1,17,2,9,1,8,1,17,1,8,1,10,1,15,1,12,1,9,1,13,1,17,1,14,1,17,1,9,1,8,2,11,1,13,1,17,2,16,1,17,2,11,2,12,1,16,1,11,1,17,10,9,1,28,25,7,1,24,2,8,1,9,1,14,2,24,1,6,2,29,3,7,1,8,1,12,2,9,1,8,3,13,4,8,1,13,2,8,1,12,1,9,2,13,1,6,1,29,1,28,1,30,2,28,2,30,2,28,4,13,1,17,21,16,1,17,7,16,1,17,3,16,1,17,4,16,2,17,2,16,1,17,5,16,2,17,1,16,2,17,2,16,3,17,3,16,1,17,2,16,2,17,1,11,1,17,2,16,2,17,5,16,1,17,1,16,5,17,1,16,1,17,1,16,2,17,3,16,2,17,1,16,1,17,8,16,3,17,2,16,2,17,21,16,1,17,3,16,2,17,8,16,1,17,6,16,4,17,1,16,4,17,51,11,3,9,6,8,1,9,2,13,2,9,1,13,2,8,1,13,2,8,3,13,1,8,3,13,1,9,1,8,1,13,1,9,1,8,2,9,2,13,1,8,2,13,1,8,1,13,2,6,1,13,1,6,1,8,1,6,1,13,2,7,1,13,2,7,1,13,5,8,2,13,2,9,1,13,1,8,1,9,1,13,1,9,2,8,2,9,2,13,1,8,1,13,1,8,2,13,1,7,1,8,2,7,1,13,1,6,1,13,1,7,1,6,1,13,4,6,3,29,1,6,1,13,1,30,1,6,1,8,1,9,1,10,1,11,1,10,1,11,2,9,4,8,1,9,2,8,1,13,1,8,1,13,1,9,2,8,2,6,1,13,1,8,1,13,2,7,1,13,5,7,1,8,1,30,1,6,1,7,1,6,1,13,3,8,3,13,1,8,4,13,1,9,3,13,1,9,2,13,1,8,3,9,2,10,1,9,2,11,1,9,6,13,2,7,1,8,1,13,2,9,1,13,1,9,1,13,1,8,1,10,1,11,4,9,1,11,2,17,2,16,1,17,9,16,1,17,5,16,6,11,1,16,1,11,1,16,3,11,1,16,1,9,1,11,1,16,2,9,1,11,1,16,1,11,2,16,1,11,2,9,1,10,1,13,2,11,1,16,1,9,1,11,1,16,2,11,1,17,1,11,2,16,1,9,1,16,1,17,1,11,1,16,1,11,1,9,2,11,1,9,5,11,1,9,1,16,1,11,3,16,1,9,1,16,2,11,3,16,2,11,2,9,1,16,5,11,3,9,2,11,3,16,1,11,3,10,1,11,3,16,1,10,1,11,3,16,1,9,1,11,1,9,4,11,1,9,2,11,1,9,1,16,1,9,1,11,1,10,1,9,6,11,1,10,1,11,3,9,1,11,3,9,1,10,1,9,1,11,1,16,1,11,3,16,2,11,1,16,4,11,1,16,1,11,2,9,1,17,5,11,1,10,1,11,1,9,1,11,1,13,1,9,1,8,1,10,1,13,1,10,2,8,1,13,1,8,1,13,1,9,1,13,1,7,1,6,1,7,2,6,1,8,1,6,1,13,1,24,1,6,1,7,2,6,1,24,1,8,1,6,1,8,1,29,3,13,1,28,1,30,1,29,1,30,1,6,1,29,1,30,1,6,1,29,2,30,1,29,1,28,2,6,1,30,1,6,1,30,3,28,2,30,1,28,1,6,1,28,1,29,2,28,1,29,1,28,3,30,1,28,2,30,2,28,2,30,2,28,1,30,3,29,1,28,1,30,2,28,1,6,1,28,6,6,1,28,3,29,1,28,2,30,1,28,8,7,1,28,93,30,1,28,88,29,1,28,1,13,1,8,2,24,1,11,1,13,1,6,1,7,1,6,3,7,1,6,2,30,1,28,5,30,1,28,1,30,1,28,1,30,1,9,1,13,1,17,1,11,2,16,1,11,2,16,1,10,1,11,3,9,1,11,4,9,3,11,2,9,2,11,1,9,1,16,1,11,1,16,1,11,1,16,6,11,2,16,4,9,2,11,1,9,5,13,2,9,2,13,1,9,1,13,2,11,1,9,1,11,1,9,1,11,1,16,1,9,3,11,1,8,1,9,1,11,1,9,5,13,1,9,1,13,1,9,3,13,4,6,1,13,4,9,1,13,3,11,1,9,1,13,1,9,2,13,3,33,126,5,613,28,58,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,6,6,1,30,1,28,6,6,1,28,76,5,213,6,1,28,2,7,1,30,1,28,1,6,1,29,1,6,1,28,1,30,1,6,1,7,1,9,1,17,2,16,1,12,1,9,1,17,1,9,1,8,1,13,1,8,1,9,3,24,2,10,1,12,1,28,7,24,1,14,1,11,1,29,1,30,3,28,25,30,1,17,1,16,1,11,1,8,3,9,1,17,2,9,1,7,2,8,1,13,2,8,1,24,1,12,2,10,1,30,1,28,4,7,1,10,1,}, {8,2,9,1,14,1,8,1,6,1,30,2,6,2,29,1,13,1,24,1,10,1,9,1,24,1,8,1,6,1,7,2,8,1,12,1,24,1,8,1,28,35,6,2,24,1,8,1,17,1,8,1,24,1,17,3,11,1,9,1,13,1,8,1,6,1,8,1,6,1,24,1,16,1,17,1,12,1,9,5,16,1,9,1,8,1,9,1,17,2,9,1,13,1,8,2,9,1,17,3,11,1,17,1,11,1,9,1,10,2,12,2,17,7,16,1,14,1,9,1,28,1,30,1,28,23,29,1,13,1,8,1,9,1,15,1,17,1,14,1,9,1,6,4,29,1,30,1,9,1,17,2,10,1,9,1,13,1,9,1,8,1,13,2,7,1,6,2,13,1,8,1,17,1,24,1,12,1,8,1,7,1,28,1,30,1,28,2,29,1,28,7,30,1,17,23,16,1,17,1,16,2,17,6,16,1,17,3,16,2,17,3,16,1,17,8,16,3,17,1,16,1,17,4,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,1,16,3,17,1,16,2,17,4,16,1,17,7,16,1,11,1,17,3,16,1,17,28,16,1,17,12,16,1,17,1,16,3,17,2,16,1,17,54,16,2,9,1,11,1,9,1,10,1,9,5,8,1,13,1,8,1,13,2,8,1,13,7,9,1,6,1,13,2,8,1,13,1,8,1,13,2,6,1,8,2,9,1,13,1,8,1,13,1,8,1,13,3,8,1,6,1,8,1,13,7,6,1,13,3,8,1,13,1,8,4,9,2,8,1,9,2,8,1,9,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,7,1,8,1,6,1,8,1,13,1,6,2,13,1,6,1,7,1,13,1,7,1,13,2,29,1,13,1,7,1,6,1,29,1,13,2,7,1,6,1,13,2,9,1,10,1,11,4,9,6,8,1,9,2,8,1,9,1,13,3,6,1,13,1,6,1,13,5,6,1,7,1,13,5,8,1,13,2,6,1,13,1,7,1,13,2,6,1,13,1,7,1,13,3,8,1,9,1,8,2,9,1,13,2,9,1,8,1,9,1,13,1,9,3,8,1,9,1,10,1,13,1,10,1,9,1,10,1,13,1,8,1,13,1,9,3,13,2,8,1,13,2,8,1,9,1,8,2,11,1,9,1,8,2,9,1,11,1,9,1,11,1,9,1,11,1,16,2,17,7,16,1,17,1,16,3,17,1,16,1,17,1,16,1,17,2,16,5,17,1,16,4,11,1,16,2,11,1,16,1,11,1,10,1,16,2,11,2,16,10,11,4,16,1,11,1,16,1,11,1,16,2,10,1,9,1,11,1,9,1,11,2,16,1,11,1,16,3,11,1,16,1,11,1,16,1,9,1,16,1,11,1,16,1,10,1,9,1,16,2,11,1,16,1,11,1,16,2,11,1,16,1,11,1,16,2,10,1,16,1,9,1,11,2,9,1,11,2,16,1,9,1,16,1,11,1,16,1,11,3,16,1,11,1,16,1,9,1,11,1,9,4,11,1,9,8,8,1,9,5,11,1,9,3,11,1,9,1,10,1,9,1,16,2,9,1,10,1,9,1,11,1,16,1,9,1,11,2,16,1,11,1,16,1,11,1,16,3,11,1,16,3,10,1,16,1,11,1,17,6,16,1,11,1,9,1,8,1,24,1,10,1,8,2,9,1,10,1,9,1,8,1,10,1,8,1,9,1,8,2,13,1,8,1,7,1,8,1,13,1,6,1,13,1,7,1,6,1,8,3,6,1,29,1,6,3,7,1,29,1,6,1,8,1,30,1,6,1,29,2,13,1,30,1,6,1,30,1,29,3,6,1,7,1,30,1,29,2,30,2,28,2,30,1,28,1,30,2,29,1,28,3,30,4,28,4,29,1,30,1,28,2,6,1,29,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,29,1,30,1,28,2,29,1,28,1,6,1,30,2,28,9,29,1,28,2,6,1,30,2,28,180,30,1,6,1,13,1,8,1,9,1,17,2,11,1,10,1,8,1,6,1,30,1,6,2,28,1,6,1,30,1,29,1,7,1,28,1,7,1,28,1,6,1,13,1,30,1,6,2,30,1,8,1,10,1,17,1,10,1,11,1,16,1,11,2,16,1,11,4,9,4,11,1,9,1,8,1,11,1,9,2,11,2,16,1,11,6,17,1,11,1,16,3,11,1,16,3,11,1,9,1,11,5,9,1,16,1,9,2,10,2,9,2,10,1,13,1,8,1,13,2,11,1,13,1,9,1,13,2,9,1,11,1,9,3,11,1,9,1,10,1,11,1,9,3,13,1,11,1,8,1,13,1,9,1,13,1,8,1,13,1,6,1,9,2,13,3,9,2,13,2,8,1,9,2,8,1,9,1,13,2,9,1,13,2,33,125,5,612,33,1,28,2,30,1,28,57,30,1,28,5,30,1,28,6,30,4,28,3,30,1,28,25,30,1,28,3,30,1,28,10,30,1,28,37,5,213,13,1,28,2,13,1,28,2,6,1,28,1,6,1,30,1,6,2,29,1,8,1,17,3,11,1,9,1,12,1,24,1,13,3,24,1,8,1,15,1,24,1,9,1,24,1,9,1,29,1,28,6,8,1,14,1,12,1,6,1,29,1,28,2,30,1,28,24,7,1,17,1,16,1,12,1,8,1,9,1,13,1,17,1,9,1,12,1,17,1,9,1,13,1,30,1,7,1,6,1,13,1,12,1,16,1,17,1,11,1,28,5,7,1,15,1,}, {8,1,24,1,9,1,17,1,13,1,29,1,6,1,28,1,30,1,6,3,13,1,8,2,13,2,24,1,6,1,8,2,24,1,12,1,6,1,28,35,6,1,30,1,8,2,9,1,12,1,11,1,17,4,9,1,13,2,6,1,13,1,6,1,24,1,17,3,10,1,8,1,11,1,12,2,9,1,13,1,8,1,11,1,14,1,17,1,13,2,8,1,6,1,8,1,11,1,17,3,11,1,9,4,12,1,11,1,17,9,11,1,28,8,30,1,28,17,24,1,8,1,24,1,10,1,14,2,13,1,6,2,13,1,30,2,29,1,8,1,12,1,17,1,11,1,9,1,13,1,6,1,9,1,24,1,29,1,13,1,29,1,7,2,13,1,24,2,9,1,13,1,30,1,28,1,30,2,28,5,30,1,28,3,30,1,17,18,16,1,17,1,16,1,17,4,16,1,17,2,16,1,17,1,16,2,17,4,16,3,17,1,16,1,17,3,16,2,17,1,16,1,17,1,16,1,17,5,16,5,17,3,16,1,17,2,16,2,17,2,16,1,17,1,16,2,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,6,16,1,17,1,16,2,17,4,16,1,17,1,16,1,17,2,16,1,17,25,16,1,17,1,16,1,17,9,16,1,17,1,16,3,17,1,16,5,17,53,11,3,9,3,13,1,9,1,8,1,9,1,8,2,13,4,8,1,6,1,13,3,8,1,13,2,7,1,13,1,8,1,7,1,13,4,9,1,13,12,7,1,13,2,6,1,8,1,13,1,6,1,13,1,6,1,8,2,13,2,8,1,13,2,9,1,8,2,9,1,8,1,9,1,8,1,9,3,8,2,13,3,8,2,7,1,13,1,8,1,13,2,6,1,13,1,7,1,13,2,6,1,13,2,6,1,13,1,7,1,6,1,7,2,6,1,13,1,6,2,7,1,13,1,8,1,12,1,11,1,16,3,11,1,9,3,16,1,8,1,9,1,10,1,9,4,13,1,9,2,13,4,7,1,13,1,7,1,13,5,7,1,13,2,7,3,6,1,13,3,6,1,13,3,6,1,13,2,8,2,7,1,8,2,13,1,8,3,13,1,8,1,13,1,8,1,9,2,8,1,9,1,11,1,9,2,10,1,13,1,9,1,13,3,7,1,13,1,8,1,7,1,13,1,7,1,13,1,8,1,13,1,9,4,11,1,9,2,8,1,9,2,10,1,9,1,11,1,16,1,11,1,16,1,17,3,16,1,17,3,16,1,17,1,16,10,11,1,16,11,11,1,16,2,11,1,16,5,17,1,16,2,17,1,16,2,11,3,16,2,11,1,16,3,11,2,9,1,11,6,16,3,11,1,16,1,11,4,16,3,10,1,16,1,11,5,16,2,11,2,16,2,11,1,16,1,11,1,16,1,11,1,16,4,11,1,16,2,11,1,16,1,11,1,16,1,11,2,16,1,9,1,11,2,9,2,11,1,9,5,11,1,9,1,11,1,9,1,11,2,16,1,11,1,10,1,16,1,9,2,11,1,9,1,10,1,9,1,11,1,13,1,11,2,9,1,11,2,9,1,11,1,10,1,9,1,16,1,11,1,16,3,11,1,16,5,11,1,16,1,17,1,11,1,17,1,9,1,17,4,12,1,17,1,12,1,10,1,11,1,12,1,13,1,9,1,24,1,10,1,24,1,12,2,8,1,9,1,24,2,8,2,7,1,8,1,7,1,8,1,13,1,29,1,7,1,24,1,8,1,6,1,8,1,6,1,7,1,6,1,29,2,13,1,7,1,30,1,6,1,7,1,6,1,29,2,7,1,29,1,6,3,29,1,30,1,6,1,7,1,6,2,28,1,6,1,28,1,6,1,30,1,28,2,30,1,28,2,29,1,30,1,28,4,30,2,28,5,30,1,28,1,30,1,28,1,29,1,28,1,6,1,30,1,28,2,29,1,28,3,30,1,29,2,28,4,30,2,28,1,30,1,29,1,30,1,6,1,28,1,30,1,28,1,29,1,6,1,30,1,28,2,29,1,30,2,28,50,30,1,28,28,6,2,28,95,30,1,6,1,8,2,17,3,9,1,10,3,13,1,8,1,13,2,30,1,6,2,13,1,7,1,8,1,30,1,29,1,30,1,28,1,7,1,29,2,8,1,9,1,11,1,17,1,10,1,16,1,11,7,9,5,11,1,9,2,11,1,9,1,10,1,11,2,16,2,11,1,16,1,11,4,16,3,17,1,16,4,11,1,16,1,11,3,16,1,11,1,10,1,8,1,9,1,13,1,8,1,11,1,9,2,10,2,9,2,11,1,13,1,9,2,8,1,11,1,9,3,13,1,11,2,9,1,11,1,9,1,8,1,11,2,13,2,10,1,9,2,13,2,9,1,13,4,9,2,8,1,13,1,8,2,9,1,8,1,9,1,8,1,9,1,13,5,33,125,5,612,28,2,6,1,28,1,30,1,28,56,30,1,28,2,6,1,28,14,13,1,6,1,28,40,30,1,28,37,33,1,5,212,13,1,28,2,29,1,30,4,7,1,30,1,29,1,6,1,13,1,10,1,17,3,16,1,11,2,9,1,24,1,8,1,29,1,8,3,12,3,24,1,29,1,28,6,9,1,14,1,17,1,7,1,30,1,28,27,13,1,17,2,9,1,8,1,13,2,10,1,17,2,10,1,24,1,6,2,7,2,6,1,24,1,16,1,12,1,11,1,28,4,29,1,6,1,10,1,}, {8,2,24,1,17,1,8,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,13,1,9,2,7,1,13,1,8,1,13,2,8,1,15,2,6,1,28,35,30,2,13,1,9,2,16,1,17,2,16,1,17,1,16,1,9,1,8,1,13,2,8,1,13,2,11,1,17,2,9,1,24,1,10,1,16,1,17,3,13,1,9,1,16,1,17,1,24,1,13,1,8,1,13,1,8,1,11,1,17,1,10,1,17,3,16,1,11,1,9,2,17,8,11,1,16,1,9,1,30,1,28,24,29,1,7,1,8,1,9,1,12,1,14,2,9,1,8,1,7,1,6,1,7,1,13,2,9,1,17,2,9,1,8,2,13,1,8,1,13,1,6,1,7,1,30,1,13,1,6,1,8,1,9,1,8,1,12,1,8,1,30,2,28,4,30,1,28,1,30,2,28,4,11,1,17,17,16,1,17,3,16,2,17,1,16,2,17,4,16,6,17,3,16,1,17,4,16,2,17,1,16,1,17,2,16,1,17,2,16,1,17,11,16,1,17,2,16,1,17,1,16,1,17,4,16,1,17,3,16,1,17,3,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,4,16,1,17,8,16,1,17,25,16,1,17,1,16,1,17,2,16,2,17,8,16,2,17,2,16,2,17,1,16,2,17,54,16,2,9,1,16,1,11,1,16,1,9,4,8,3,13,2,9,1,13,3,8,1,7,1,13,3,8,1,13,2,7,1,13,3,8,1,13,2,6,1,8,2,13,3,6,1,8,1,13,1,8,1,7,1,8,1,6,1,13,1,6,1,13,1,6,1,7,2,8,1,13,1,6,1,13,4,9,1,7,1,8,2,10,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,10,1,9,1,8,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,29,1,6,1,13,1,7,1,6,1,7,1,13,4,29,1,13,2,6,1,7,1,6,1,13,1,30,1,13,2,30,1,8,2,9,1,11,1,17,1,9,1,11,2,12,1,10,1,16,1,9,2,16,1,10,1,9,2,11,1,9,1,13,2,8,1,13,1,8,1,13,1,8,1,6,1,13,1,6,3,13,1,30,1,8,1,13,1,7,2,13,2,8,1,7,1,8,1,13,2,7,1,6,1,13,1,8,1,7,1,8,2,13,1,8,1,13,2,8,1,7,1,8,1,13,1,8,1,9,1,8,3,13,2,11,1,9,2,11,1,9,1,8,1,9,1,8,4,13,4,8,3,11,1,13,1,9,1,8,1,9,2,8,1,9,2,10,1,9,4,8,1,9,1,8,1,9,1,17,11,16,1,17,1,16,1,17,1,16,5,17,2,11,1,16,7,17,3,16,4,17,1,16,3,17,2,16,2,17,1,16,1,11,1,16,4,11,1,9,2,10,1,9,2,11,1,16,2,9,1,11,2,16,1,11,1,16,4,11,1,16,1,11,3,16,3,11,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,11,2,16,2,11,1,16,5,11,1,16,1,11,1,16,3,11,2,9,1,11,3,16,3,11,2,9,1,11,2,9,2,11,6,9,1,16,2,11,1,10,1,9,1,11,1,9,3,10,1,11,2,9,1,16,2,9,2,11,3,10,1,11,2,9,1,16,1,10,1,11,1,16,1,11,4,16,7,17,3,16,1,12,1,17,1,9,5,24,1,8,1,24,1,17,1,8,1,12,1,8,1,9,1,8,1,24,1,9,1,8,1,13,1,8,1,7,1,24,1,8,1,7,1,6,1,13,1,6,1,24,1,6,1,8,3,13,1,30,1,13,1,6,1,13,1,30,1,7,1,6,1,7,1,13,1,6,1,29,1,6,1,30,2,6,1,29,1,6,2,29,1,30,1,29,1,30,1,28,1,6,1,28,2,30,2,28,1,30,1,28,1,29,2,28,1,30,1,29,1,28,3,29,1,30,1,28,1,29,1,30,1,7,1,28,1,30,1,29,1,28,1,30,1,6,1,13,1,28,1,30,1,28,1,29,1,30,1,13,1,28,1,29,1,6,1,28,1,30,2,28,1,29,1,30,2,29,1,28,2,29,1,6,1,30,1,28,1,6,1,28,2,30,1,28,1,29,1,30,1,28,76,30,1,28,98,29,1,13,1,24,1,17,3,11,2,16,1,11,2,9,1,8,2,11,1,13,2,6,1,13,1,8,1,7,1,13,1,29,1,28,1,30,2,9,2,11,8,16,1,11,3,16,1,11,1,13,1,9,1,11,1,9,1,16,1,9,4,11,4,9,1,16,2,11,1,9,1,16,3,11,1,16,4,11,2,9,2,11,3,9,1,16,1,9,2,13,1,9,1,13,3,9,1,13,1,9,3,11,2,13,1,10,1,9,6,10,1,9,2,11,1,9,2,11,1,16,1,13,1,9,1,13,2,9,2,13,3,9,1,13,2,9,1,10,1,9,2,13,1,9,1,13,1,8,1,13,1,9,2,13,2,9,1,13,1,33,125,5,613,28,47,6,1,28,18,30,1,28,11,6,1,30,2,28,29,30,1,6,1,28,46,30,1,5,212,13,1,28,2,7,1,29,1,28,1,13,3,6,1,30,1,7,1,6,1,9,1,17,2,16,1,9,1,10,1,9,1,11,1,9,1,8,1,13,1,10,1,12,1,10,1,9,1,12,2,24,1,30,1,28,6,9,1,14,1,9,1,6,1,29,1,28,27,7,1,17,2,8,2,13,1,24,1,17,2,9,1,17,1,8,1,6,4,8,1,24,1,10,1,17,1,9,1,28,2,30,1,28,2,6,1,14,1,}, {13,2,17,1,12,1,8,1,7,1,28,3,30,1,6,1,30,1,13,1,24,1,12,1,8,1,13,2,7,1,8,1,13,1,10,1,9,1,24,1,30,1,28,34,6,2,24,2,17,2,11,1,17,3,16,1,9,1,8,1,13,1,7,1,6,2,8,1,16,1,17,1,16,1,8,1,9,1,8,1,9,3,8,3,16,2,8,1,7,1,13,1,7,1,13,1,17,3,12,1,16,1,9,1,16,1,9,2,17,1,12,1,17,8,16,1,9,1,30,1,28,24,30,1,8,2,24,1,9,1,17,1,14,1,9,1,13,1,7,1,30,1,13,1,6,1,29,1,8,1,12,1,9,1,10,1,8,1,13,2,8,1,13,2,7,1,6,1,13,1,8,1,24,1,8,1,9,1,24,1,7,1,6,1,30,2,28,2,29,1,28,7,6,1,9,1,17,19,16,1,17,1,16,1,17,1,16,2,17,3,16,2,17,1,16,1,17,1,16,3,17,2,16,1,17,1,16,1,17,9,16,1,17,5,16,1,17,6,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,3,16,1,17,2,16,1,17,4,16,2,17,2,16,1,17,9,16,2,17,1,16,1,17,31,16,1,17,30,16,1,17,39,16,1,11,2,16,1,9,2,11,1,9,4,8,4,9,1,13,2,8,1,13,2,8,1,13,7,6,1,13,6,8,2,6,1,7,1,13,1,8,1,13,4,8,1,13,2,7,1,6,1,13,3,6,2,7,1,13,1,8,1,13,3,9,1,8,1,9,1,8,2,9,1,8,1,9,6,8,3,13,1,9,1,13,1,6,1,8,1,13,1,6,1,13,1,7,1,6,1,7,2,13,1,6,2,8,1,29,1,13,2,6,1,13,1,7,3,6,1,13,2,8,1,10,1,16,2,17,1,16,2,11,1,10,1,11,1,10,1,9,1,10,1,11,1,9,1,11,1,9,5,13,1,9,1,13,1,8,1,13,5,6,1,13,2,6,1,13,1,9,1,6,3,8,1,13,2,8,1,6,1,13,1,6,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,7,1,8,1,13,1,8,1,7,1,8,1,9,1,13,2,8,1,13,1,9,3,8,1,9,1,8,1,13,1,9,2,8,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,2,13,1,8,2,9,1,13,1,8,1,9,1,8,1,13,1,10,2,9,1,8,1,9,1,10,1,9,1,11,1,17,9,16,1,17,1,16,11,11,1,16,12,17,3,16,3,17,1,16,4,9,1,16,1,11,1,16,1,11,4,9,2,11,3,16,2,11,1,16,2,11,2,9,1,11,1,16,1,11,1,9,1,16,1,11,1,16,7,17,1,16,4,11,3,16,3,17,1,16,2,11,1,16,1,11,1,16,3,11,2,16,1,11,2,16,3,11,1,9,1,11,2,10,1,16,2,9,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,9,3,16,1,9,1,10,1,9,1,11,1,16,1,11,1,9,1,17,1,11,4,9,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,16,3,11,1,16,2,11,1,16,6,10,1,16,1,17,4,16,1,9,1,11,1,9,2,10,1,12,1,10,2,8,1,9,1,12,1,9,2,8,1,10,1,24,1,10,1,8,3,24,1,6,1,8,1,6,1,30,1,6,1,29,1,13,1,7,2,6,1,7,1,6,1,28,1,7,1,30,1,6,2,7,1,6,2,7,1,6,3,28,1,29,2,6,1,29,2,28,1,6,1,29,1,30,1,28,1,6,1,29,2,6,1,28,1,29,1,30,1,28,1,30,1,28,3,29,1,30,1,28,2,6,1,7,1,30,1,28,1,29,1,6,1,28,3,29,1,30,1,29,4,6,1,28,1,30,2,28,1,8,1,6,1,29,2,7,1,30,1,28,1,6,1,30,1,28,1,6,2,29,1,28,1,6,1,30,2,28,2,29,1,28,3,30,1,28,3,30,2,28,18,29,1,28,3,30,1,28,1,6,1,28,3,29,1,28,19,30,1,28,18,29,1,28,99,30,1,7,1,24,1,9,1,17,2,10,1,11,1,16,1,11,5,9,3,13,1,9,1,13,1,8,1,13,2,9,4,13,1,11,3,10,1,16,1,11,2,16,2,11,3,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,11,2,16,1,11,3,16,1,9,1,11,1,9,1,11,1,16,1,13,1,11,3,16,2,13,1,11,1,9,1,11,1,9,3,16,1,10,1,11,2,9,2,11,1,9,2,11,1,9,1,13,1,9,7,13,1,9,2,11,1,9,6,8,1,16,1,13,1,16,1,9,1,13,1,8,1,13,2,9,1,13,3,9,2,11,1,8,2,9,2,13,1,8,1,9,4,13,1,9,2,6,1,33,125,5,613,30,1,28,3,30,1,28,16,30,1,28,43,30,1,28,13,6,1,13,1,28,18,30,1,28,10,30,1,6,1,28,4,30,1,28,8,30,1,28,32,5,212,6,1,28,2,7,1,8,1,10,1,9,1,13,1,8,1,13,1,6,1,8,1,6,1,9,1,17,1,16,1,17,1,9,1,12,1,24,1,17,1,13,1,24,1,7,1,12,1,24,1,12,2,10,1,17,1,24,1,29,1,28,6,10,1,14,1,9,1,6,1,28,28,13,1,17,2,9,1,8,1,13,2,17,2,11,1,9,1,24,1,6,1,13,1,29,1,13,1,6,1,13,1,8,1,12,1,17,1,28,4,30,1,13,1,15,1,}, {8,1,9,2,12,1,9,1,6,1,7,1,30,1,28,1,30,1,28,2,13,1,8,1,9,2,6,1,7,2,13,1,24,1,10,1,15,1,8,1,30,1,28,33,29,1,6,2,8,1,9,1,12,1,17,6,16,1,8,2,13,4,17,3,10,1,12,1,9,1,11,1,16,1,9,1,10,1,13,2,14,1,17,1,13,3,8,1,7,1,11,1,17,2,11,1,17,1,16,1,17,1,11,1,16,1,9,1,10,1,17,6,16,1,17,1,16,2,6,1,28,24,6,1,13,1,24,1,13,1,12,1,17,1,14,1,9,1,24,1,7,1,6,3,13,1,8,1,17,1,11,1,12,1,9,1,8,2,24,1,13,3,7,2,13,2,24,1,8,1,9,2,6,1,28,1,30,2,28,3,30,1,28,2,30,1,28,3,11,1,17,18,16,9,17,1,16,7,17,1,16,3,17,2,16,1,17,2,16,1,17,10,16,2,17,1,16,1,17,9,16,1,17,3,16,1,17,1,16,2,17,2,16,6,17,6,16,2,17,3,16,1,17,3,16,2,17,23,16,1,17,1,16,1,17,7,16,1,17,10,16,1,17,61,11,1,9,2,11,1,9,2,10,1,9,3,8,1,13,1,9,1,8,1,13,1,8,2,13,2,8,1,13,1,16,2,9,2,8,1,9,1,13,2,7,1,9,1,13,1,6,1,7,1,6,1,13,3,8,2,13,3,8,1,7,1,8,1,6,2,13,2,6,1,13,1,7,1,6,1,13,1,8,1,13,2,8,1,9,1,8,1,10,1,8,2,9,2,8,2,9,2,10,2,9,1,10,1,8,1,9,1,8,1,9,3,8,2,6,1,13,2,6,2,13,1,6,1,13,1,6,2,13,4,7,1,6,1,13,2,6,1,13,1,7,1,13,1,8,1,11,1,16,4,17,1,11,1,17,1,16,1,11,1,10,1,11,1,9,1,11,2,10,1,9,1,11,1,8,1,9,2,8,1,9,1,13,1,8,1,9,1,13,3,7,1,13,1,6,2,7,1,6,2,7,2,13,1,6,1,13,1,6,1,7,1,8,1,30,1,8,2,6,1,9,1,13,1,6,1,13,1,6,1,13,2,8,1,13,1,8,1,13,3,9,3,8,3,9,2,8,1,9,1,13,1,9,2,13,1,8,1,13,1,8,1,13,1,9,1,8,2,9,1,7,1,13,1,8,4,13,2,8,1,9,2,13,1,8,1,9,2,13,1,9,3,11,1,9,3,11,1,16,1,11,1,16,1,17,8,16,5,11,1,16,5,17,1,16,4,17,3,16,1,17,2,16,3,17,1,16,2,11,3,9,2,11,1,9,1,16,1,11,1,9,2,11,2,16,1,9,1,11,2,16,3,11,2,16,1,11,2,16,1,11,1,9,1,11,2,9,1,16,3,11,4,16,4,11,2,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,3,16,2,11,1,16,7,11,3,16,1,11,2,16,1,11,1,16,1,11,5,16,4,11,1,16,1,9,2,11,1,16,1,9,1,16,1,10,1,9,1,11,2,16,2,11,3,16,1,11,1,16,1,11,1,16,1,10,1,16,1,9,1,11,5,9,1,16,1,11,5,16,3,17,6,11,1,8,1,9,1,17,1,9,1,24,1,10,1,24,1,12,1,10,1,13,1,9,1,10,1,9,1,12,1,8,1,10,1,24,1,8,2,7,1,24,2,13,1,8,1,13,1,8,1,13,1,6,1,7,1,13,2,6,3,13,1,8,1,6,1,7,1,30,1,13,1,6,1,29,1,6,1,30,2,7,1,29,1,6,1,7,1,29,2,30,1,7,1,28,1,7,1,8,1,30,1,6,1,30,1,28,1,29,1,30,1,29,1,28,1,29,3,30,1,29,1,30,2,6,4,30,1,28,2,30,1,29,1,6,1,29,2,6,1,28,2,29,1,28,1,6,1,29,1,6,1,7,1,29,1,30,2,29,1,6,1,30,1,29,1,28,1,6,1,29,1,30,1,29,1,28,1,30,1,29,2,28,1,6,2,29,1,6,1,29,1,30,2,28,25,29,2,30,1,28,4,30,1,28,6,30,1,28,13,29,1,28,15,6,1,7,1,28,100,30,1,29,1,13,1,17,2,11,7,16,1,9,1,11,1,16,1,11,1,9,1,17,1,11,1,9,1,11,1,10,1,9,1,10,1,9,1,11,2,9,1,10,1,11,2,9,1,10,1,16,1,11,3,9,1,11,1,9,1,11,1,9,1,11,4,9,1,16,1,9,1,16,1,9,2,16,1,11,2,9,4,11,4,9,1,11,1,16,1,9,3,8,1,9,1,11,1,9,1,16,1,11,1,9,1,11,3,9,7,16,1,9,1,8,1,11,1,9,2,11,4,10,1,9,8,13,1,8,1,13,1,9,1,8,1,13,2,9,4,13,1,9,2,13,1,9,1,6,1,9,4,6,1,13,2,10,1,9,2,13,2,33,125,5,613,28,1,30,1,6,1,28,21,30,2,28,3,30,1,28,16,30,1,28,33,30,1,28,31,30,1,6,1,28,2,30,1,6,1,28,39,30,1,5,211,6,1,28,1,6,2,8,2,9,1,8,1,7,2,8,2,13,1,24,1,17,2,9,1,12,1,8,1,9,1,12,1,13,1,24,1,7,1,24,1,17,1,10,1,9,1,12,1,17,1,8,1,30,1,28,6,12,1,17,1,9,1,6,1,30,1,28,27,13,1,17,1,12,1,8,1,13,3,10,1,17,1,11,1,8,2,6,1,7,1,6,3,9,1,11,2,8,1,28,5,24,1,14,1,}, {13,2,24,1,10,1,9,1,7,1,30,2,6,1,28,1,6,1,29,1,7,1,12,1,8,1,9,1,7,1,6,2,8,1,24,1,10,1,11,1,9,1,30,1,28,34,30,1,7,1,13,1,9,1,17,6,16,1,9,1,12,1,13,1,8,1,13,1,6,1,13,1,17,2,10,1,9,1,8,1,9,1,12,1,9,1,16,2,13,1,6,1,11,1,10,1,7,1,13,4,16,2,17,1,11,1,16,1,11,2,17,1,16,2,11,1,17,7,16,1,17,1,16,1,29,1,30,1,28,5,29,1,28,14,29,1,28,2,6,1,13,1,24,1,11,1,12,1,15,1,14,1,24,1,8,1,13,1,6,4,8,1,9,1,17,1,15,1,8,1,9,1,24,1,8,1,9,1,6,1,7,1,13,3,6,1,8,1,12,1,9,1,13,1,30,1,28,3,30,2,28,1,30,1,28,5,30,1,9,1,17,17,16,11,17,1,16,6,17,1,16,1,17,2,16,1,17,1,16,1,17,3,16,1,17,3,16,1,17,1,16,2,17,2,16,2,17,1,16,1,17,4,16,1,17,12,16,1,17,2,16,2,17,8,16,1,17,5,16,1,17,1,16,1,17,1,16,1,17,3,16,1,17,7,16,1,17,1,16,1,17,16,16,1,17,3,16,1,17,2,16,1,17,67,16,1,9,2,10,1,9,1,10,1,11,1,8,2,9,4,13,2,9,1,8,2,9,1,11,1,13,1,9,1,16,3,11,1,16,2,9,4,8,1,13,1,7,1,8,1,13,5,29,1,13,1,8,1,10,1,13,5,8,1,6,1,13,3,8,1,13,1,8,1,9,1,8,1,9,2,8,1,9,4,10,1,9,1,11,2,9,1,10,1,11,1,9,2,11,1,9,2,13,1,8,3,13,1,6,1,13,1,7,1,13,1,7,1,13,2,7,1,13,3,7,2,6,3,7,2,29,1,13,3,11,3,16,2,9,1,17,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,16,1,11,1,16,1,11,1,9,1,11,1,9,1,10,1,9,3,13,1,8,2,13,2,8,1,6,1,7,1,13,1,7,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,7,1,8,1,13,1,7,1,8,1,29,1,13,4,8,2,13,1,9,1,8,1,13,3,9,2,8,1,9,1,8,1,13,1,8,3,13,1,8,2,13,1,8,2,13,1,9,1,8,3,13,2,8,1,13,5,8,1,13,1,8,2,9,3,11,1,9,4,13,1,9,2,13,1,9,1,11,1,17,8,16,4,11,1,16,3,11,1,16,3,17,1,16,5,17,1,16,2,17,1,16,1,17,2,16,2,11,1,9,1,10,1,16,1,11,2,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,10,1,11,2,16,1,9,1,16,3,11,7,16,1,11,2,16,1,11,1,9,2,16,1,9,1,11,2,16,1,11,2,16,2,11,1,16,1,11,1,16,1,11,1,16,2,11,2,16,1,11,2,16,3,17,2,9,1,16,4,11,2,16,5,11,1,10,1,9,1,16,5,11,3,9,4,13,1,9,1,11,8,16,1,11,1,9,1,11,1,16,1,11,2,9,1,11,3,16,1,11,3,16,1,11,1,16,3,11,1,16,3,17,1,16,1,17,5,10,1,9,3,12,1,9,2,11,1,8,1,17,1,10,1,9,1,8,1,24,1,9,1,13,2,8,1,7,1,13,2,9,1,8,1,24,1,13,2,7,1,8,1,7,1,13,1,8,1,6,1,8,1,13,2,8,1,29,2,6,2,29,1,8,1,13,1,30,1,6,3,7,1,30,1,13,1,29,1,7,1,28,1,6,1,28,1,29,1,30,1,13,1,6,1,30,1,29,1,6,1,29,2,30,2,28,1,7,1,30,2,6,5,28,1,6,1,26,1,29,1,28,1,30,1,29,1,30,1,29,1,8,1,6,1,7,1,29,1,6,2,30,1,29,2,30,1,6,2,30,2,6,1,28,1,13,1,6,1,28,1,30,2,28,1,6,2,29,1,30,1,28,1,6,1,30,1,28,2,30,1,28,3,30,1,28,2,6,1,28,6,30,1,28,3,30,1,28,6,30,1,28,4,30,1,29,1,30,1,28,3,29,1,30,1,28,2,6,1,28,11,30,1,28,1,30,1,28,3,6,1,30,3,28,7,7,1,13,1,6,1,28,100,29,1,6,1,13,1,8,1,17,1,9,2,11,1,9,1,10,2,11,3,9,1,11,1,9,1,11,2,16,1,11,1,10,1,11,1,9,1,11,5,9,1,11,1,10,1,11,13,9,1,11,1,9,3,11,2,16,1,11,1,16,1,11,2,9,1,11,1,9,2,16,1,11,3,16,4,9,3,11,1,9,1,13,1,9,4,11,1,9,1,11,2,9,1,16,2,11,1,16,2,11,1,16,1,11,1,9,1,8,1,16,1,8,1,9,1,11,1,13,1,16,1,9,1,13,1,8,1,9,1,16,1,9,4,13,1,9,1,13,1,9,1,13,1,9,5,11,1,9,2,6,1,13,1,9,1,8,1,9,1,8,1,13,5,9,1,13,2,33,125,5,612,28,4,6,1,28,20,30,1,28,56,30,1,28,5,30,1,28,10,30,1,28,1,30,1,28,12,6,2,28,1,13,1,28,40,6,1,5,210,6,1,28,1,30,1,13,1,7,1,8,4,9,1,13,1,9,1,13,1,11,1,12,1,17,1,9,1,12,1,9,1,24,1,12,1,8,1,13,1,8,1,10,1,9,2,10,1,9,1,17,1,24,1,29,1,28,6,14,1,17,1,8,1,30,1,28,28,9,1,17,1,10,1,8,2,13,2,17,1,16,1,17,1,10,1,13,3,6,1,7,1,13,1,8,1,10,1,17,1,9,1,28,5,8,1,14,1,}, {24,1,8,1,24,1,17,2,8,1,30,1,6,1,30,1,29,1,28,1,6,1,28,1,9,1,12,1,9,2,7,1,8,3,13,1,12,1,8,1,6,1,28,34,30,1,6,1,24,1,8,1,17,6,16,1,17,1,10,1,13,5,17,2,11,1,16,1,10,1,11,1,12,1,10,1,17,1,10,1,8,1,13,1,16,1,17,1,13,3,7,2,11,1,12,1,17,2,16,2,17,1,16,1,11,3,17,6,16,2,17,1,16,1,29,1,28,24,29,1,8,1,24,1,10,1,12,1,15,1,14,1,24,1,13,1,6,3,29,1,30,1,24,1,17,1,12,2,11,1,9,2,12,1,8,1,13,2,6,1,13,2,24,1,9,4,6,2,28,1,30,1,28,2,30,1,28,1,30,1,28,5,10,1,17,17,16,4,17,1,16,2,17,2,16,1,17,1,16,3,17,1,16,1,17,1,16,3,17,1,16,1,17,1,16,1,17,1,16,1,17,6,16,1,17,1,16,2,17,2,16,1,17,21,16,1,17,1,16,1,17,2,16,1,17,14,16,1,17,1,16,1,17,1,16,2,17,25,16,1,17,3,16,2,17,3,16,1,17,66,16,1,9,1,11,1,9,6,8,3,9,1,8,3,13,1,9,1,11,1,8,1,9,1,16,2,17,2,16,1,17,1,16,1,17,1,16,2,11,3,16,1,9,1,8,1,13,1,9,1,8,1,13,1,9,2,11,1,9,1,13,1,8,1,9,1,13,6,9,1,13,1,9,1,8,1,9,1,8,2,9,3,13,1,10,1,11,1,9,1,16,1,9,1,11,1,9,1,16,2,9,1,11,1,13,1,10,1,9,3,10,1,8,1,13,2,7,1,6,1,30,1,13,1,6,1,13,3,6,1,7,1,13,5,7,2,6,1,13,1,8,2,9,2,11,2,10,1,17,1,16,2,17,1,11,3,9,1,16,1,10,1,11,2,16,1,10,1,9,1,11,1,9,1,11,1,16,1,9,1,13,1,9,2,8,1,9,1,13,2,8,1,7,1,13,1,7,1,13,2,7,1,6,1,7,2,6,2,13,1,6,2,13,1,30,1,13,1,8,1,6,1,29,1,13,2,6,1,9,1,13,1,6,1,7,1,13,2,24,1,8,1,13,2,8,1,13,1,9,1,8,4,9,1,8,1,9,3,8,1,9,3,13,1,8,1,9,1,13,2,9,2,13,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,2,8,1,9,1,10,1,9,3,8,1,9,2,8,1,9,1,11,1,13,3,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,2,16,4,17,3,16,3,17,2,16,1,17,1,16,2,17,1,16,4,10,1,16,2,11,3,16,1,10,1,16,2,9,1,16,3,9,2,16,1,9,1,16,1,9,1,16,4,9,1,11,2,16,1,11,1,16,2,11,1,16,1,10,1,11,1,9,1,11,1,9,1,16,1,11,3,16,2,11,6,17,1,16,1,11,3,17,1,11,1,16,1,11,1,9,1,10,1,16,1,11,1,9,1,11,3,16,2,17,1,11,1,17,1,16,2,11,1,16,2,11,1,9,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,10,2,16,2,11,4,9,1,10,1,11,1,16,4,11,1,16,1,11,2,16,1,9,1,11,1,16,2,10,1,16,1,11,3,16,1,11,3,17,5,12,1,9,3,12,1,9,2,10,1,11,1,9,1,17,1,8,1,24,2,8,3,10,1,24,1,9,1,8,1,24,1,9,1,7,1,13,2,6,2,7,1,6,1,8,1,29,1,6,1,24,1,13,3,6,2,7,1,13,1,8,2,7,2,6,2,8,1,7,1,6,2,7,1,28,1,6,3,30,1,28,1,30,2,29,1,6,1,29,1,30,1,6,1,28,1,29,2,30,1,29,2,28,1,7,1,30,1,29,1,30,1,6,1,30,1,6,2,30,1,28,1,13,1,28,1,29,3,7,1,29,1,7,1,29,2,6,1,13,1,6,1,29,2,8,1,7,2,29,1,6,2,28,1,29,1,30,2,28,1,29,2,13,1,30,1,29,1,28,1,30,1,28,6,29,2,6,1,30,1,28,2,6,1,28,1,29,1,30,3,28,2,30,1,28,1,30,1,28,1,29,1,30,1,6,1,29,2,30,1,28,1,30,1,28,1,29,1,30,1,29,2,28,2,29,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,3,29,1,28,2,30,3,29,2,28,1,30,2,28,2,29,1,30,1,13,2,28,103,6,1,30,1,6,1,8,1,13,1,9,1,11,1,10,1,11,1,9,2,11,3,16,3,11,1,16,1,10,1,16,1,9,1,11,1,9,2,11,2,16,1,11,2,9,1,11,2,9,1,11,7,9,1,11,1,9,1,11,2,10,1,11,1,9,1,16,1,11,2,9,1,11,1,16,1,11,4,9,1,11,1,9,1,11,2,9,1,16,1,9,3,16,1,11,2,9,2,11,2,10,1,8,1,9,1,11,2,9,1,16,1,17,1,16,1,11,1,16,1,17,1,11,1,10,1,11,1,16,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,9,6,13,1,9,1,13,2,8,1,13,1,10,1,9,1,11,1,9,1,11,1,9,2,13,1,9,2,13,1,9,1,13,7,9,1,13,2,33,125,5,612,28,1,30,1,28,30,6,1,28,74,30,1,28,2,30,1,28,2,30,1,13,1,30,1,28,43,5,209,30,1,28,2,6,1,8,4,9,1,8,2,9,1,24,1,9,1,17,1,8,1,17,1,11,1,8,1,24,1,12,1,7,1,6,2,10,2,24,1,12,1,24,1,17,1,13,1,28,7,17,2,13,1,30,1,28,28,9,1,17,2,8,2,13,1,8,1,17,1,16,1,17,1,10,1,9,1,7,1,6,1,7,1,6,1,24,1,8,1,16,2,12,1,28,4,6,1,8,1,14,1,}, {13,1,8,1,10,2,11,1,8,1,30,3,7,1,6,1,29,1,13,1,24,1,15,1,8,2,6,2,13,1,8,1,10,1,12,1,9,1,28,35,29,2,6,1,8,1,17,7,12,1,8,1,24,1,6,1,13,2,29,1,16,1,17,2,11,1,9,1,10,1,11,1,16,1,17,1,9,1,13,1,29,1,17,2,8,1,7,1,13,2,6,1,9,1,17,2,16,4,11,1,9,2,11,1,12,1,17,4,16,1,11,2,17,1,14,1,30,1,28,25,7,1,24,2,12,1,17,1,14,1,10,1,24,1,13,1,30,1,13,1,6,1,29,1,6,1,24,1,17,1,9,1,10,1,24,1,9,1,8,1,24,1,8,1,6,1,29,1,6,1,29,1,24,1,9,1,8,1,9,1,8,1,29,1,28,1,30,1,28,11,9,1,17,17,16,1,17,1,16,1,17,1,16,4,17,1,16,1,17,3,16,3,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,2,17,3,16,1,17,9,16,1,17,10,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,13,16,1,17,25,16,1,17,6,16,1,17,5,16,1,17,64,16,3,11,2,9,1,10,1,9,1,10,1,13,1,9,3,8,1,9,1,13,1,9,4,16,8,17,3,16,1,17,1,16,1,17,1,16,1,17,1,16,1,11,1,16,5,11,2,9,2,11,1,10,1,9,1,8,1,13,1,8,3,9,1,13,1,8,2,9,1,13,1,8,1,10,1,11,1,10,1,9,1,11,4,9,1,10,1,11,1,16,3,9,1,16,1,9,2,8,1,9,1,8,1,7,1,13,2,6,1,7,2,30,1,6,1,7,1,6,1,7,1,13,2,7,1,13,4,6,1,13,1,7,1,13,1,7,1,8,1,11,1,10,1,11,1,16,1,11,1,16,1,17,1,16,1,11,1,17,1,11,6,9,1,11,1,10,1,16,1,9,3,11,1,10,1,9,1,13,1,9,2,13,4,6,1,13,2,6,2,13,1,7,1,6,2,13,1,6,3,13,1,6,1,13,6,7,1,13,2,6,1,13,1,6,1,7,1,6,1,8,1,13,1,9,1,13,1,24,1,13,1,9,1,13,1,9,1,10,1,7,1,8,1,13,1,8,1,13,2,8,1,9,1,8,1,9,1,6,1,8,1,9,4,13,1,9,1,8,2,13,2,9,1,8,2,9,2,13,1,8,1,9,1,8,1,9,3,8,1,9,2,8,1,13,1,9,1,11,1,9,1,13,1,11,2,17,7,16,7,17,3,16,2,17,2,16,3,11,1,17,1,16,1,11,1,16,1,17,1,11,1,16,3,10,1,9,1,16,1,11,1,9,2,11,3,16,3,11,1,16,1,11,2,16,1,17,1,10,1,8,1,11,1,9,1,11,4,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,2,10,1,16,1,11,2,9,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,11,1,16,2,11,1,9,1,16,1,11,1,9,1,11,1,9,2,11,2,16,1,11,1,17,1,11,1,16,1,11,2,16,1,11,4,16,4,11,1,16,1,9,1,16,1,9,1,11,2,16,1,11,2,9,2,11,2,9,1,16,1,11,1,10,1,11,1,9,1,11,3,9,2,16,1,9,2,16,1,11,1,9,1,11,2,16,1,9,1,11,2,13,1,9,1,11,3,16,1,11,1,9,1,11,1,16,1,11,1,16,3,17,4,16,2,9,2,24,1,10,2,9,1,11,2,8,1,13,1,11,1,9,2,13,1,9,1,8,1,24,1,13,4,8,1,13,1,9,1,13,2,8,2,13,1,6,1,13,1,8,1,7,1,13,1,8,2,13,2,8,1,6,1,24,1,30,1,8,1,7,1,6,1,13,1,6,2,7,1,6,3,30,1,6,2,13,1,29,1,7,1,30,2,6,1,28,1,7,1,6,1,28,1,6,1,28,1,6,1,29,2,6,1,7,1,30,2,29,1,6,1,7,1,28,1,6,1,29,1,13,1,7,1,30,1,6,3,7,1,29,1,6,1,29,1,13,1,6,1,28,1,7,1,8,1,7,1,6,1,26,1,6,1,25,1,7,1,29,3,6,1,29,2,6,1,28,1,7,1,28,1,7,1,30,2,28,1,6,1,30,1,28,3,29,1,28,1,29,1,28,1,29,1,28,1,6,1,28,2,6,1,29,2,6,1,28,1,29,4,6,1,29,1,6,2,29,2,28,1,30,3,29,2,30,2,29,1,28,1,6,1,30,1,28,1,7,1,28,1,30,1,29,1,28,1,29,1,28,2,29,1,6,1,28,1,6,1,7,1,29,2,28,1,6,1,28,1,29,1,6,1,29,1,8,1,29,1,28,106,8,1,24,1,10,1,17,1,9,1,11,1,9,2,11,1,9,3,11,2,16,1,11,1,16,1,11,3,9,1,11,2,9,1,11,5,9,1,16,1,11,1,9,1,16,1,11,2,9,1,11,1,10,1,11,1,9,3,11,4,16,1,11,2,9,2,11,2,9,1,16,2,11,2,16,1,17,1,11,2,9,2,11,2,9,2,16,1,10,1,9,1,16,1,11,2,16,1,9,1,11,1,16,1,11,1,16,2,17,1,16,2,11,2,10,1,16,1,11,1,9,1,11,1,13,1,9,1,11,1,9,2,11,1,9,3,13,3,9,1,13,4,9,3,11,1,9,1,11,1,13,1,9,3,11,1,8,1,13,2,9,1,13,1,8,1,13,7,33,125,5,611,30,1,28,1,30,1,28,6,30,1,28,17,30,1,28,46,30,1,28,29,6,1,30,1,28,7,30,1,28,2,6,1,28,14,30,1,28,28,5,208,6,1,28,1,13,1,6,1,8,1,9,1,10,1,13,1,10,1,9,1,8,1,9,1,10,3,12,2,10,2,12,1,8,1,24,1,29,1,6,1,24,1,12,1,15,1,12,2,17,1,6,1,28,6,30,1,14,1,17,1,8,1,28,29,8,1,17,1,10,1,8,1,9,1,8,2,16,1,17,2,11,1,24,1,6,1,8,1,6,2,13,1,11,1,12,1,16,1,8,1,28,5,10,1,12,1,}, {7,1,24,1,13,1,10,1,9,1,8,1,6,1,30,1,6,1,30,1,6,1,29,1,13,1,12,1,11,1,9,1,13,2,8,1,13,1,8,1,9,2,10,1,28,34,30,1,6,1,30,1,13,1,24,1,12,1,17,6,11,1,16,1,24,1,13,1,7,1,13,2,8,1,10,1,11,1,9,2,12,2,11,1,17,1,12,1,13,1,6,1,9,1,16,1,8,1,7,2,13,1,7,1,9,1,17,2,16,1,17,1,16,1,17,2,11,1,9,1,10,1,16,1,17,5,16,2,17,2,30,1,29,1,28,23,6,2,13,1,10,1,9,1,17,2,15,1,7,1,13,1,28,1,13,1,30,2,6,1,15,1,16,1,9,1,12,1,13,1,8,2,6,1,8,1,29,2,6,1,7,1,13,1,8,2,9,1,10,1,6,1,30,1,29,1,28,8,30,1,28,2,10,1,17,19,16,1,17,2,16,2,17,1,16,1,17,1,16,2,17,1,16,5,17,5,16,2,17,1,16,2,17,3,16,1,17,22,16,1,17,4,16,1,17,5,16,1,17,5,16,1,17,1,16,1,17,9,16,1,17,8,16,1,17,11,16,1,17,5,16,1,17,4,16,3,17,68,11,1,16,1,10,1,9,7,11,1,13,2,9,4,16,1,17,1,16,7,17,12,16,1,17,2,16,1,17,4,16,2,17,2,11,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,9,2,11,1,9,2,16,1,17,1,9,1,11,1,16,1,11,1,9,1,11,1,17,1,11,1,16,1,9,2,11,1,9,2,8,1,9,1,8,1,13,5,29,2,13,1,6,2,13,1,30,1,7,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,13,2,9,1,11,1,16,1,11,1,16,3,17,2,16,1,11,1,16,1,11,1,16,1,11,1,9,1,10,1,16,2,9,2,11,1,9,2,11,1,10,1,9,1,10,1,9,2,8,1,13,2,8,1,7,1,13,1,7,1,13,1,6,1,13,1,6,2,29,1,13,1,7,1,6,1,30,1,6,1,29,1,13,2,6,1,7,2,13,1,6,3,13,1,6,1,13,2,6,1,13,5,8,3,13,1,8,1,13,1,8,1,13,4,8,2,9,2,8,1,9,1,8,3,10,1,13,4,8,2,9,1,13,3,9,3,8,1,11,1,10,1,9,5,10,1,9,5,13,2,9,1,16,1,17,6,16,1,17,1,16,6,17,4,16,3,17,1,16,8,11,2,16,3,11,4,16,4,11,2,16,1,11,1,16,1,11,2,16,1,11,2,9,1,10,1,9,1,11,2,9,1,11,1,9,1,11,2,9,1,11,2,9,1,11,1,9,1,11,3,9,1,11,4,9,1,11,1,9,3,10,1,16,1,9,1,11,2,16,1,11,1,9,1,11,1,16,2,11,1,16,1,10,1,17,1,11,1,16,9,11,1,16,2,11,1,16,1,11,2,16,3,11,2,16,1,11,1,9,1,11,1,9,3,16,1,9,1,11,1,9,1,16,1,9,2,11,2,9,1,11,2,16,1,9,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,2,8,1,9,3,16,1,17,5,9,1,17,1,9,1,10,1,9,1,11,1,9,1,12,1,7,1,9,1,8,1,12,1,9,1,24,1,12,1,24,3,8,1,13,1,10,1,13,2,8,1,24,1,8,1,24,1,8,1,7,1,8,1,7,2,13,4,7,1,24,1,13,1,8,2,6,1,13,1,7,1,8,1,13,1,7,1,8,1,6,1,8,1,6,2,13,1,29,3,7,1,6,1,30,1,8,1,7,1,6,1,30,1,8,1,7,1,6,1,29,1,6,1,29,1,7,1,28,1,7,1,13,1,29,1,6,2,29,1,13,1,6,2,29,1,7,1,29,1,7,1,6,1,13,1,29,2,13,1,7,1,6,1,29,1,13,1,7,1,24,1,30,1,8,1,6,2,7,1,8,1,6,1,7,2,13,1,6,1,29,2,30,1,13,1,30,1,13,1,6,2,28,1,29,1,7,1,29,2,7,1,28,1,7,1,29,1,30,1,6,1,28,1,29,1,30,1,6,1,28,1,7,1,29,1,6,1,13,1,6,1,30,1,7,1,6,1,7,1,29,1,6,3,29,1,30,2,29,1,30,1,28,1,7,1,28,1,8,1,6,1,28,1,29,3,30,1,29,1,30,1,6,1,29,2,6,7,30,1,7,1,13,1,6,1,28,1,13,1,7,1,13,1,6,1,28,1,30,1,28,5,30,1,28,99,30,2,8,1,11,1,17,9,16,2,9,1,11,4,10,1,11,3,16,1,11,4,16,1,9,1,16,1,9,1,16,1,11,1,9,2,11,2,10,1,9,1,16,1,11,1,9,3,11,2,9,1,16,1,11,7,9,1,11,1,9,1,11,3,9,1,11,1,9,1,11,2,9,9,16,2,17,1,11,1,16,1,11,4,16,1,11,2,16,1,9,2,11,2,8,1,9,4,11,1,9,2,13,1,11,1,13,4,8,1,9,2,13,1,8,1,9,4,8,1,16,1,9,1,13,1,9,4,13,1,9,1,6,1,8,1,13,1,9,1,13,3,33,124,5,612,6,1,30,1,28,8,30,1,28,19,6,1,28,73,30,1,28,1,30,2,28,5,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,37,5,207,30,1,28,1,6,3,24,1,9,3,10,1,8,1,24,1,13,1,17,2,11,1,12,1,10,1,9,1,24,2,8,1,7,1,8,2,9,1,12,2,17,2,24,1,28,6,30,1,14,1,12,1,8,1,30,1,28,4,30,1,28,23,8,1,17,1,11,1,8,2,13,1,8,1,17,3,9,2,13,1,7,1,13,1,8,2,16,1,17,2,7,1,28,4,30,1,9,2,}, {8,1,9,1,24,1,10,1,9,1,6,1,30,1,28,1,29,1,6,1,30,1,8,1,30,1,8,1,15,1,9,1,24,1,13,1,8,1,13,1,8,1,9,1,15,1,12,1,30,1,28,34,29,1,28,1,13,1,9,1,17,2,16,1,17,4,9,2,8,1,7,1,6,1,24,1,13,1,17,3,11,1,8,1,11,1,8,1,12,1,16,1,11,1,24,1,13,1,12,1,16,1,11,1,13,3,6,1,8,1,17,2,16,1,17,4,12,1,11,1,9,1,12,1,17,5,16,1,17,2,14,1,13,1,28,25,13,1,24,2,12,1,15,1,17,1,9,1,13,1,29,2,6,1,7,1,28,1,30,1,17,1,9,1,17,1,9,2,8,1,24,1,8,2,7,6,8,1,10,1,9,1,6,1,29,1,28,10,30,1,28,1,9,1,17,18,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,4,16,5,17,1,16,3,17,1,16,1,17,7,16,1,17,6,16,1,17,23,11,1,17,6,16,1,17,1,16,1,17,7,16,1,17,12,16,1,17,11,16,1,17,2,16,1,17,4,16,1,17,2,16,2,17,67,16,1,17,1,16,1,9,1,11,1,9,2,11,1,13,1,9,3,13,1,9,4,11,1,16,2,17,1,16,11,17,8,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,5,17,1,11,2,9,1,11,1,9,2,11,1,9,1,11,1,10,1,11,3,9,1,11,1,9,1,11,1,16,2,9,1,11,1,10,1,9,2,10,1,11,2,9,2,13,3,6,2,7,1,13,1,6,1,7,1,13,1,6,1,13,1,6,1,7,1,8,1,7,1,13,3,6,2,8,2,13,1,11,3,9,1,16,5,11,2,9,1,16,2,11,3,16,1,11,4,10,2,9,3,10,1,9,4,13,1,8,2,13,1,7,1,8,1,6,1,13,2,6,1,29,1,13,1,29,1,7,1,13,1,6,1,8,1,13,6,7,1,13,1,6,2,13,1,6,1,13,2,29,1,13,1,6,1,13,1,8,1,13,3,8,2,9,1,13,2,8,2,13,2,9,3,13,1,8,1,13,1,8,2,9,2,13,4,9,1,13,2,8,1,13,1,8,1,9,2,10,1,9,1,13,1,9,2,8,1,9,5,8,1,9,1,11,1,13,1,8,1,11,1,9,1,16,1,17,2,16,1,17,2,16,1,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,2,16,3,17,1,16,1,11,1,17,1,16,1,11,1,16,1,11,2,16,1,9,1,16,4,11,3,16,3,11,1,16,3,11,2,16,2,9,1,11,1,8,1,10,1,9,2,11,3,16,1,11,2,9,1,11,2,9,1,16,1,9,1,11,3,9,1,11,1,9,4,11,2,10,1,11,2,13,1,11,1,9,2,11,1,9,2,10,1,16,1,11,1,16,8,17,1,11,1,16,1,17,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,1,16,2,9,1,11,1,16,1,9,1,10,1,16,1,11,1,17,1,16,1,11,3,16,1,11,1,9,1,10,1,11,1,16,1,11,1,16,1,9,1,11,1,8,1,9,1,8,1,9,3,8,1,11,1,9,1,13,2,9,1,10,1,9,2,11,1,16,1,17,6,9,1,17,1,12,1,9,1,11,1,12,1,9,1,11,1,10,1,9,5,8,1,9,1,13,1,24,2,7,1,24,1,12,1,24,3,13,2,6,1,8,1,13,1,24,2,7,1,9,1,13,1,7,1,13,1,8,1,29,1,13,1,7,1,13,1,8,1,13,1,8,1,6,1,7,3,13,1,29,1,8,2,6,2,13,1,29,1,6,3,7,1,13,1,7,1,6,1,7,1,6,1,7,2,25,1,6,1,7,1,8,1,6,1,13,1,29,1,6,1,29,1,7,1,13,1,6,1,13,1,7,1,13,1,29,1,8,1,6,2,7,1,6,1,7,1,8,2,13,1,7,1,29,1,6,2,8,1,13,1,6,1,30,1,8,1,13,1,8,1,7,1,29,1,6,2,29,1,6,2,13,1,6,1,30,2,29,1,30,1,29,1,7,1,28,1,6,1,29,1,30,1,6,1,30,1,13,1,28,1,13,1,6,1,28,1,29,1,13,1,6,1,7,1,29,2,6,2,28,1,6,3,30,1,28,1,13,1,28,1,30,1,29,1,28,1,29,1,6,1,29,1,7,1,29,3,6,1,29,1,8,1,6,2,29,1,6,1,7,1,13,1,8,1,24,1,7,1,8,1,6,1,13,1,29,1,6,1,13,1,7,1,30,2,28,3,6,1,28,6,30,1,28,1,30,1,28,96,29,1,30,1,24,1,10,1,17,10,16,2,11,6,9,2,11,1,9,1,11,1,9,1,11,1,9,2,10,1,9,3,11,1,16,1,9,1,10,1,9,1,11,2,9,1,11,1,16,1,9,1,11,1,16,1,11,4,9,3,10,1,11,2,9,1,10,1,9,3,10,1,11,1,9,2,11,1,16,1,9,4,11,3,16,2,11,1,9,1,11,4,10,1,9,4,11,2,13,1,8,1,9,1,13,2,11,1,10,1,13,1,10,1,9,1,13,2,8,1,13,3,9,1,13,1,8,1,9,1,13,1,9,5,8,1,13,2,9,2,13,1,9,1,13,2,11,1,9,2,13,2,9,1,13,1,33,123,5,613,28,5,30,1,28,92,6,1,28,8,30,1,28,1,30,1,28,5,6,1,30,1,28,1,6,1,28,1,30,2,6,1,28,2,30,1,28,1,6,1,30,1,28,3,30,1,28,26,13,1,5,205,13,1,28,1,30,1,13,1,8,1,9,2,8,1,9,1,24,1,9,1,24,1,13,1,16,1,14,1,17,1,16,1,8,1,9,1,8,1,24,1,7,1,6,1,8,1,24,1,9,2,10,1,17,1,12,1,13,1,28,6,6,1,17,1,12,1,6,1,30,1,28,28,9,1,17,1,9,1,8,2,13,1,24,1,17,1,12,1,17,1,9,1,13,2,8,1,13,2,9,1,17,1,12,1,11,1,6,1,28,4,30,1,9,1,15,1,}, {13,1,7,1,24,2,17,1,8,1,30,1,6,1,30,3,13,1,30,1,8,1,15,1,13,1,8,1,6,1,7,1,13,1,7,1,8,1,10,2,28,35,6,2,7,1,9,2,17,1,12,1,17,4,10,1,11,1,9,1,13,1,6,1,13,3,10,1,17,2,9,3,10,1,17,2,9,1,8,2,17,1,10,1,13,3,9,1,8,1,17,7,10,1,9,1,10,1,17,10,8,1,28,24,30,1,13,1,24,2,11,1,16,1,17,1,9,1,13,1,6,2,30,1,6,3,8,1,17,1,9,1,11,1,8,1,9,1,13,3,7,1,6,3,30,1,13,2,24,1,9,1,7,1,28,13,13,1,17,18,16,5,17,1,16,2,17,2,16,1,17,6,16,2,17,1,16,1,17,1,16,1,17,2,16,1,17,35,16,1,17,5,16,2,17,1,16,1,17,11,16,1,17,30,16,1,17,3,16,1,17,1,16,1,17,63,16,2,11,1,9,4,8,1,13,1,8,2,13,1,9,4,11,1,16,16,17,1,16,4,17,1,16,1,17,1,16,1,17,7,16,1,17,2,16,1,17,1,16,8,17,1,16,2,11,2,16,1,11,1,16,2,11,1,16,2,9,1,11,1,10,1,9,3,8,1,9,1,11,1,9,1,13,1,6,1,13,4,6,1,13,2,6,1,7,1,6,1,13,1,8,1,30,1,7,1,13,2,7,1,13,1,29,1,13,1,9,1,10,1,16,3,11,2,16,3,11,1,17,1,10,1,16,1,11,1,16,1,9,1,11,4,16,1,10,1,9,1,10,1,11,1,10,1,11,1,16,1,9,5,8,1,13,2,8,1,13,1,6,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,8,1,6,1,7,1,13,1,7,1,6,1,13,1,7,2,13,1,6,2,13,2,29,1,6,1,13,1,30,1,9,1,13,1,7,1,8,4,13,3,8,1,13,1,8,1,13,2,8,1,9,4,13,1,9,2,13,2,9,2,13,2,8,2,9,1,8,1,9,1,11,1,9,4,8,1,9,1,13,1,8,1,11,1,8,1,13,2,9,1,13,1,11,1,9,1,11,1,8,1,11,1,17,1,16,1,17,2,16,1,17,2,16,1,17,4,16,3,17,1,16,1,17,1,16,5,17,1,9,1,11,1,16,8,11,4,16,5,10,1,9,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,16,1,9,1,11,1,9,2,11,1,10,1,9,1,16,1,11,1,10,1,9,3,11,1,9,1,11,1,9,1,16,2,9,1,11,3,9,7,16,2,11,2,16,1,11,1,16,2,11,1,16,4,17,2,16,2,17,1,16,2,11,1,16,2,9,1,11,2,9,2,11,1,16,1,11,1,9,2,11,1,9,1,16,1,9,1,16,1,11,1,9,1,11,2,9,1,16,1,11,2,16,1,11,3,16,2,11,1,10,1,9,3,11,1,9,2,13,1,8,1,13,1,9,3,8,1,13,2,8,1,9,2,11,1,16,1,9,1,10,1,11,1,16,1,17,7,9,7,12,1,11,1,9,1,8,1,17,1,8,1,9,1,24,1,13,2,10,1,12,1,17,1,24,1,8,1,13,1,8,6,13,1,6,1,13,1,24,1,13,1,8,1,6,1,8,3,6,1,7,1,8,3,7,1,13,1,7,2,6,2,13,1,6,1,8,1,6,3,8,1,6,2,7,2,8,1,29,1,13,1,6,2,24,1,13,1,6,2,24,1,13,1,7,1,24,1,6,1,7,2,24,1,6,1,7,1,13,1,8,1,6,1,13,1,6,2,7,1,8,1,30,1,6,1,13,1,7,1,13,2,8,1,6,1,13,1,7,1,13,1,24,1,8,1,24,1,6,1,8,1,6,1,29,1,13,1,7,1,30,1,8,1,7,1,13,2,30,1,29,1,13,1,30,1,6,1,30,1,13,1,7,1,13,3,6,1,7,1,29,1,13,2,29,1,6,1,13,1,7,2,6,1,13,1,6,1,29,1,6,1,30,1,29,1,7,1,6,2,29,2,6,2,28,2,30,1,6,1,13,1,6,2,29,1,6,1,28,1,6,1,13,2,7,1,8,1,7,1,13,1,6,1,13,1,6,1,30,1,8,2,24,1,29,1,28,1,8,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,75,29,1,28,5,30,1,6,2,8,1,11,1,17,8,16,1,11,7,9,1,11,1,9,1,11,2,9,1,11,1,9,1,11,1,9,2,11,1,10,2,9,1,11,1,9,1,11,1,16,1,9,2,11,1,16,1,11,2,9,1,11,1,9,1,11,1,16,1,9,1,11,1,9,1,13,1,10,1,11,1,9,4,16,1,9,1,11,1,16,1,9,1,13,1,11,2,9,1,11,1,16,2,11,1,17,1,11,2,16,1,11,4,10,1,11,1,9,1,11,1,9,1,11,1,9,1,16,2,9,2,11,1,9,1,8,1,9,1,13,1,30,1,8,1,13,1,6,1,13,2,8,1,7,2,9,6,8,1,13,1,8,1,13,4,9,1,13,1,9,5,13,2,9,1,13,1,33,124,5,612,33,1,30,1,28,6,30,1,28,45,30,1,28,7,30,1,28,5,30,1,28,30,6,1,30,1,28,9,30,2,28,4,30,1,13,1,30,1,28,1,30,1,13,3,30,1,28,35,13,1,5,204,6,1,28,1,7,1,13,1,9,1,24,1,9,1,8,1,9,2,11,1,24,2,16,1,17,2,11,1,9,2,10,1,8,1,13,1,29,1,13,1,24,2,9,1,12,1,17,2,8,1,29,1,28,3,30,1,28,1,13,1,17,1,10,1,7,1,28,29,10,1,17,1,16,1,8,2,7,1,8,1,17,3,13,1,8,2,13,2,24,1,11,1,9,1,11,1,9,1,6,1,28,4,6,1,11,1,10,1,}, {8,1,13,1,10,1,15,1,9,1,13,1,6,1,28,2,6,4,13,1,9,2,8,1,7,1,13,3,24,1,9,1,10,1,28,24,30,1,28,9,30,1,29,1,6,1,7,1,9,1,12,1,17,6,9,1,11,1,9,1,6,1,13,2,8,1,17,3,8,1,9,1,16,1,12,3,16,1,13,2,9,1,17,1,9,1,13,1,8,2,6,1,9,1,17,8,11,1,9,1,17,3,12,1,17,5,14,1,8,1,28,24,7,1,29,1,9,1,8,1,12,1,17,2,15,1,8,1,6,4,28,1,29,1,17,2,9,1,12,1,24,1,9,2,13,2,6,1,28,1,29,1,7,1,13,1,24,1,13,1,24,2,13,1,28,13,8,1,17,17,16,1,17,1,16,1,17,1,16,2,17,1,11,1,17,1,16,1,17,1,16,5,17,1,16,1,17,48,16,1,17,2,16,1,17,41,16,1,17,72,16,2,10,1,9,1,11,1,9,1,8,1,9,1,8,1,9,1,13,1,9,3,11,2,10,1,16,11,11,1,16,9,17,1,16,3,17,6,16,1,17,1,16,1,17,1,16,2,17,1,16,2,17,1,16,7,11,1,9,2,10,1,11,1,16,1,11,1,16,1,11,1,10,1,11,1,9,1,8,1,9,1,8,3,9,1,13,1,8,1,13,2,7,2,8,1,6,1,7,1,13,1,6,1,13,1,7,1,6,1,13,1,6,2,7,1,13,3,9,4,16,1,17,1,16,3,11,2,16,3,11,3,9,1,11,1,16,1,11,2,16,2,11,1,9,1,11,1,10,1,16,1,11,1,9,1,11,1,9,2,8,1,9,2,8,1,9,1,13,2,7,1,13,1,6,3,7,1,13,1,6,1,13,2,8,1,13,5,6,2,13,1,6,3,7,1,6,2,29,1,13,2,7,1,13,1,6,1,13,1,6,1,13,4,8,1,13,1,8,4,13,5,10,1,9,2,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,4,13,1,9,2,10,1,8,1,9,1,13,1,8,1,9,2,8,7,9,2,8,1,9,4,11,1,9,1,17,5,16,3,17,3,16,3,17,2,16,1,17,1,16,6,17,1,11,1,16,4,9,1,16,3,11,1,16,4,9,2,16,1,9,1,10,1,9,1,11,2,9,1,11,1,9,4,11,4,9,1,10,1,11,2,9,3,16,1,11,2,16,1,11,1,10,1,9,4,10,1,11,3,16,1,11,2,16,1,11,4,16,1,9,1,11,1,17,1,9,1,16,1,11,1,16,7,11,1,16,3,17,1,16,2,11,1,16,2,11,3,16,3,11,2,9,1,11,3,16,1,11,1,10,1,11,1,16,1,9,1,11,3,9,2,11,2,9,3,11,1,9,1,10,1,11,2,9,1,11,1,10,1,11,1,9,1,11,1,9,2,16,1,11,1,16,1,11,1,9,3,17,9,10,1,17,1,11,1,10,1,12,1,9,1,8,2,9,1,12,2,10,2,8,1,24,1,9,1,12,1,8,1,24,2,10,1,24,1,13,1,10,1,13,2,8,1,24,1,8,1,13,1,8,3,13,1,8,2,13,1,7,1,29,1,8,1,6,1,24,1,13,1,8,1,7,1,8,1,6,1,13,1,6,2,13,2,7,1,8,1,7,2,13,1,7,1,13,1,6,1,8,2,7,1,13,1,8,1,24,1,8,1,6,1,13,1,30,1,29,1,24,1,29,1,7,1,6,1,8,1,13,1,7,2,24,1,7,1,6,3,8,1,13,1,24,1,13,2,7,1,13,1,8,4,7,1,6,1,24,1,6,1,7,1,13,3,6,1,8,2,13,1,24,1,6,1,8,1,24,1,13,1,8,1,28,1,8,1,13,1,6,1,24,1,6,2,13,1,29,1,7,1,29,1,6,3,7,3,6,1,7,1,13,4,30,1,6,1,13,1,30,1,13,1,29,1,6,1,8,1,30,1,6,1,7,1,6,1,28,1,6,1,13,1,6,1,29,1,24,1,8,1,7,1,13,1,8,1,13,1,7,1,24,1,6,1,13,4,29,1,13,1,8,1,13,1,24,1,13,1,6,1,29,1,6,3,28,3,29,2,7,1,30,1,6,2,13,1,6,1,30,1,29,2,6,1,28,1,30,1,28,1,29,1,30,1,28,1,29,2,28,1,30,2,29,1,6,1,30,1,28,72,30,1,28,6,30,1,28,1,6,2,13,1,6,1,13,1,9,1,17,6,11,1,10,1,9,1,16,1,11,1,9,1,11,2,9,1,16,1,11,2,16,1,10,1,11,2,9,1,11,2,16,1,11,1,9,1,10,1,9,4,11,1,9,2,16,1,9,1,11,1,16,1,9,7,11,2,13,1,16,1,11,1,9,2,11,4,9,3,16,1,11,1,16,1,9,1,11,1,9,1,17,1,9,1,11,5,16,1,9,4,10,1,11,4,9,4,13,5,6,2,13,3,9,2,11,1,9,1,13,2,8,1,13,2,9,1,13,1,9,1,13,2,9,3,13,6,30,1,9,1,30,1,33,123,5,612,33,1,30,1,6,1,30,1,28,1,30,1,28,7,30,1,28,54,30,1,28,5,30,1,28,18,30,1,28,5,30,2,28,1,13,1,30,1,28,8,30,2,28,2,30,2,28,3,6,2,28,1,6,1,30,1,28,35,13,1,5,202,30,1,28,1,13,2,24,1,9,1,13,1,9,1,8,1,12,1,8,1,13,1,24,1,16,1,17,1,14,1,16,1,24,1,17,1,12,1,7,1,13,1,7,2,13,1,8,1,12,1,17,3,24,1,30,1,28,1,30,1,28,2,30,1,13,1,17,1,16,1,13,1,28,1,29,1,28,27,24,1,14,1,9,1,13,3,9,1,17,2,12,1,9,1,8,1,7,1,13,1,29,1,9,2,16,1,12,2,6,1,28,4,30,1,15,1,24,1,}, {8,1,13,1,8,1,9,2,8,1,29,1,28,1,30,1,28,2,30,1,28,1,8,1,10,1,9,1,13,1,6,3,13,1,24,1,9,2,7,1,28,34,30,1,13,2,8,1,12,1,17,5,12,2,9,1,8,1,13,1,24,1,6,1,13,1,17,2,11,2,12,1,17,1,12,1,17,2,12,1,9,1,13,1,9,1,17,2,13,1,9,1,8,1,13,1,9,1,12,1,17,5,11,1,16,1,9,2,12,1,17,1,12,2,17,2,16,1,17,2,14,1,8,1,30,1,28,24,7,1,8,2,9,1,17,3,13,1,6,1,29,1,6,2,28,1,6,1,12,1,17,3,10,1,16,1,24,1,13,1,7,1,13,1,7,1,6,1,7,1,6,1,13,1,8,2,24,1,7,1,28,13,8,1,17,17,16,1,17,2,16,1,17,3,16,2,17,1,16,2,17,32,16,1,17,10,16,1,17,24,16,1,17,102,16,3,9,3,11,1,8,1,9,1,8,1,9,2,13,1,16,1,9,1,11,1,16,21,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,4,17,2,16,9,17,1,16,1,9,1,11,1,9,1,16,1,11,2,9,3,10,1,8,2,11,1,9,1,8,1,9,3,13,1,24,1,13,1,6,3,13,1,6,3,13,1,7,2,6,2,13,1,6,1,13,2,6,1,8,1,13,1,9,1,11,1,16,1,17,2,16,1,11,3,16,3,17,1,16,3,17,1,11,1,16,1,11,1,9,1,17,1,16,2,11,1,16,1,9,1,11,1,16,1,9,3,11,1,8,1,9,2,8,1,9,1,13,1,9,1,13,1,9,1,7,1,13,1,29,1,13,2,7,1,8,1,13,1,29,1,13,3,8,1,7,4,8,1,6,3,13,5,29,1,6,1,7,1,13,1,8,1,13,1,6,1,24,1,8,1,13,1,8,1,6,1,13,3,9,1,13,1,9,1,13,1,9,1,8,1,9,3,13,1,9,4,8,3,9,2,8,1,9,2,8,2,9,1,8,1,9,2,8,1,9,4,8,1,13,1,9,1,13,1,9,2,13,1,9,4,10,1,17,2,16,2,17,4,16,2,17,1,16,2,17,1,16,3,17,1,16,12,11,2,16,1,11,1,9,1,16,1,11,1,16,1,11,1,16,2,9,2,11,1,9,3,11,1,9,5,11,2,9,2,11,1,9,2,10,1,16,1,9,2,16,1,9,1,16,1,9,1,11,1,9,1,13,1,11,2,9,1,11,5,16,1,10,1,9,1,11,3,16,1,9,2,16,2,11,1,9,1,16,2,17,1,11,1,16,2,11,2,16,1,11,1,9,1,16,2,11,1,16,1,11,2,10,1,11,1,16,2,11,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,11,1,10,1,16,1,9,2,11,5,9,1,17,1,11,1,16,2,9,1,16,1,9,3,13,1,10,1,9,4,13,1,11,1,9,1,8,1,16,1,11,1,9,1,11,1,16,1,11,3,9,1,16,1,17,8,16,1,12,2,9,1,12,1,11,1,9,1,10,2,17,1,9,1,10,1,24,3,9,2,10,2,24,1,8,1,24,2,9,1,24,2,8,2,24,1,6,1,8,1,7,1,8,1,7,3,8,1,24,1,13,1,24,1,8,1,24,1,8,1,24,1,7,1,30,1,8,1,7,1,6,2,7,2,13,2,7,1,8,3,24,1,7,3,8,1,13,1,8,2,7,1,24,1,13,1,7,1,8,2,6,1,7,1,13,2,8,1,13,1,8,1,13,3,8,2,24,1,7,1,8,1,7,1,24,1,7,1,6,2,8,1,24,1,8,2,24,1,8,1,24,1,7,1,13,2,8,2,13,1,6,2,24,1,7,2,8,1,6,1,13,1,8,1,7,1,13,1,24,1,13,1,24,1,8,1,13,1,6,1,7,1,24,1,8,1,24,1,8,1,6,1,13,1,6,1,7,1,13,4,7,1,29,2,8,1,6,1,30,1,8,2,24,1,29,1,13,1,6,2,13,3,6,2,7,2,13,2,30,1,7,1,8,1,6,1,13,1,7,1,6,1,24,1,6,1,13,1,7,1,8,1,13,2,7,1,8,1,6,1,7,1,6,1,28,4,30,1,28,1,7,1,6,2,29,1,6,2,13,1,6,2,29,2,7,1,29,1,6,1,29,1,30,1,6,4,29,2,28,2,30,1,28,59,29,1,28,21,30,2,6,1,8,1,9,1,17,4,9,1,11,1,9,2,11,1,16,1,11,2,10,1,16,1,11,3,16,1,11,2,10,1,16,1,11,1,9,2,11,1,9,2,11,1,9,1,11,2,13,1,11,1,9,4,11,1,9,1,13,2,11,2,9,1,11,1,16,1,9,1,16,1,10,1,11,1,9,1,11,1,17,1,11,1,9,1,11,1,9,2,13,1,9,1,11,1,9,1,11,2,16,1,11,1,16,1,9,1,11,1,9,1,13,1,9,2,11,1,10,1,9,1,11,1,16,1,11,1,9,4,11,1,9,2,13,3,9,1,11,1,8,1,13,2,9,1,13,1,9,3,11,1,9,3,13,4,9,2,13,1,9,1,13,5,8,1,13,1,6,1,13,3,33,122,5,613,33,1,28,2,30,1,13,1,6,1,28,1,30,1,28,3,30,1,28,11,30,1,28,6,30,1,28,2,30,1,28,30,30,1,28,9,6,1,28,25,30,3,13,1,28,8,30,1,28,4,30,1,6,3,13,1,30,3,28,36,13,1,33,1,5,200,28,1,30,1,13,1,6,1,8,1,11,1,13,1,8,1,24,1,8,1,13,1,9,1,13,1,17,1,14,1,17,2,10,1,12,1,9,1,24,1,7,2,8,2,10,1,17,1,9,1,17,1,12,1,7,1,28,4,6,1,29,1,8,1,17,1,10,1,8,1,28,29,9,1,17,1,10,1,13,3,24,1,10,1,12,1,11,1,8,1,24,1,8,1,6,2,7,1,24,1,9,1,17,1,11,1,6,1,28,4,6,1,14,1,24,1,}, {7,2,13,1,9,1,8,2,30,1,6,1,28,1,29,2,6,1,28,1,24,1,9,1,12,1,13,2,29,1,6,1,7,1,24,1,9,1,12,1,13,1,28,34,29,1,6,1,13,1,8,1,17,2,12,1,17,3,16,1,9,1,8,1,13,1,6,1,8,1,13,1,8,1,17,5,9,1,16,2,17,1,12,1,24,1,13,1,15,1,14,1,12,1,6,1,8,1,9,1,6,1,8,1,17,3,16,2,17,3,11,1,9,1,10,1,17,2,12,2,17,1,11,1,17,2,14,1,13,1,28,2,30,1,28,22,13,1,24,1,8,1,12,1,17,2,12,1,8,2,6,2,29,1,30,2,12,1,17,4,11,1,24,2,13,1,6,1,30,1,6,1,13,2,8,1,24,2,10,1,6,1,28,13,9,1,17,15,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,5,16,1,17,41,16,1,17,59,16,1,17,68,9,1,11,1,10,1,9,5,8,1,9,4,11,1,16,5,11,1,16,2,11,2,16,3,11,1,16,3,11,1,16,8,11,1,16,1,11,1,16,10,17,1,16,5,17,1,16,3,17,1,16,3,11,1,9,2,11,1,16,3,11,3,13,1,9,1,13,1,9,1,13,1,8,1,13,4,6,1,13,2,6,2,8,1,6,1,8,1,6,1,13,1,6,1,7,1,29,1,13,5,8,1,9,1,16,2,17,4,11,1,16,1,11,1,16,3,17,1,16,6,11,2,9,1,11,1,16,1,11,1,16,1,10,1,11,2,16,1,11,2,9,2,8,1,13,1,9,2,8,4,6,1,13,5,6,1,7,1,13,1,7,1,30,1,13,1,6,1,29,1,13,1,6,2,7,1,6,2,13,2,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,8,1,13,1,7,1,13,1,9,1,13,2,9,1,8,1,13,1,6,1,9,1,6,1,8,1,9,1,13,1,8,1,9,1,8,1,9,2,13,1,9,1,8,1,9,1,13,2,9,1,8,1,13,1,8,1,9,1,10,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,11,1,9,1,13,3,11,1,13,1,8,1,13,2,9,1,11,1,16,1,17,2,16,2,17,1,16,4,11,1,17,1,16,3,17,1,16,10,11,1,16,1,11,1,16,1,11,1,16,4,11,2,16,1,9,1,11,1,10,1,11,1,9,5,11,1,16,1,9,2,16,1,11,1,9,4,16,1,8,1,11,1,9,1,11,1,9,1,11,2,16,1,9,1,11,1,9,1,11,1,16,1,9,2,11,2,16,1,11,1,16,1,9,1,16,1,11,1,9,1,16,1,9,3,11,3,16,1,11,3,16,2,11,1,16,3,11,1,16,1,11,3,17,1,11,1,16,1,11,2,16,1,11,3,9,1,11,1,9,1,11,4,9,1,10,1,11,1,16,1,9,1,11,1,16,1,11,1,9,2,11,1,9,1,16,1,11,1,9,1,11,1,8,1,9,1,13,3,8,2,9,3,11,1,9,1,10,1,11,2,16,1,11,3,9,2,11,3,16,1,11,2,17,7,16,1,17,1,12,1,17,1,16,1,11,1,17,1,10,1,17,1,11,1,8,1,12,1,24,1,17,1,8,2,9,1,8,1,12,1,9,2,24,1,9,1,13,1,9,1,8,1,9,1,8,1,7,1,8,2,24,1,8,1,13,1,8,3,13,2,24,2,8,1,24,1,8,1,7,2,24,1,13,1,6,1,13,1,6,1,8,1,7,1,8,1,6,1,8,1,24,1,7,2,13,2,9,1,8,2,7,1,8,1,7,1,8,3,13,2,8,1,7,1,13,5,8,1,13,1,24,1,8,1,7,1,8,1,13,1,24,1,7,1,24,1,13,1,24,1,13,1,9,1,13,1,8,1,7,1,6,1,8,2,13,1,6,1,24,1,7,1,13,1,24,1,6,1,24,2,13,2,8,1,6,1,13,5,8,2,6,1,13,2,8,2,24,1,6,3,13,1,7,1,8,1,6,2,13,1,8,1,7,2,8,2,7,3,6,2,7,1,13,1,24,1,6,1,8,1,24,1,28,1,7,2,8,2,7,2,6,1,13,1,8,1,7,1,13,3,7,1,6,1,24,1,7,1,8,2,7,1,8,1,6,1,7,1,30,2,28,1,29,1,30,1,6,1,29,1,6,1,8,2,13,2,6,1,13,1,6,1,13,3,6,2,13,1,6,1,7,2,8,1,7,1,6,1,13,1,7,2,6,1,30,1,28,13,30,1,28,6,30,1,28,37,6,1,28,23,6,1,13,1,9,2,12,1,17,1,9,1,10,1,9,1,11,5,16,1,11,5,9,1,16,1,9,1,11,1,16,1,9,1,11,2,9,2,13,1,9,1,8,1,13,1,9,4,11,1,9,2,13,1,9,2,13,1,9,2,13,1,9,1,10,1,9,3,16,1,10,1,9,1,10,1,16,1,9,2,11,1,9,2,11,2,16,2,11,2,10,2,11,1,9,1,16,1,11,2,9,3,11,2,9,2,11,1,9,1,13,1,11,1,9,1,13,1,9,3,13,1,9,3,13,1,9,1,11,1,9,4,13,3,9,3,13,7,7,1,6,1,13,4,6,1,13,4,33,121,5,613,28,4,6,1,28,16,6,1,30,1,28,79,30,3,28,12,30,1,28,1,6,1,28,1,6,1,30,1,28,41,5,198,28,2,13,1,6,1,13,1,8,1,9,1,8,1,13,1,8,1,7,1,8,1,24,1,17,3,11,1,8,1,9,1,10,1,24,1,7,2,13,1,10,1,24,1,9,1,11,1,10,2,24,1,28,1,30,1,28,2,6,1,29,1,9,1,14,1,10,1,8,1,30,1,28,28,11,1,14,1,24,1,8,1,24,1,9,2,11,1,24,1,16,1,8,3,6,2,13,1,24,1,9,1,12,1,11,1,28,5,29,1,15,1,24,1,}, {8,1,13,2,10,1,9,2,6,1,28,2,6,1,28,1,13,1,29,1,8,2,9,1,13,1,28,1,13,1,8,1,7,1,8,1,24,1,12,1,13,1,28,34,7,1,29,1,7,1,13,1,9,1,12,1,17,5,9,1,13,1,9,1,7,1,13,1,6,1,13,1,17,3,16,1,9,1,11,1,15,2,17,2,13,3,17,2,13,1,8,2,6,1,9,1,17,3,16,1,17,1,11,1,17,1,10,1,13,1,7,1,9,1,17,1,12,1,17,1,11,1,16,1,9,1,10,1,14,2,13,1,30,1,28,23,30,1,7,1,24,1,8,1,24,1,17,2,16,1,13,2,6,1,7,1,6,1,29,1,6,1,9,1,17,5,15,1,9,1,8,1,6,1,13,2,8,1,7,1,13,1,24,1,9,1,8,1,13,1,30,1,28,12,9,1,17,18,16,1,17,1,16,1,17,48,16,1,17,4,16,1,17,87,16,2,17,6,16,1,17,28,16,1,9,1,11,2,9,3,8,1,9,2,8,1,9,2,16,7,11,1,16,2,11,1,16,4,11,4,9,1,16,1,11,3,16,1,9,2,16,1,11,1,16,1,11,4,16,6,17,1,16,4,17,1,16,6,17,1,16,1,17,1,9,1,8,1,11,1,9,1,11,1,9,1,11,1,9,2,8,2,9,1,13,1,8,1,13,3,6,1,8,1,13,1,29,1,6,1,7,1,29,1,6,4,13,1,8,1,6,2,13,1,6,2,28,1,13,1,9,1,11,1,16,1,17,6,16,1,11,1,10,1,11,1,16,2,11,1,16,4,10,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,1,9,6,11,1,10,2,11,1,9,1,13,1,9,1,13,1,8,1,13,2,8,1,6,1,8,1,7,1,13,1,30,1,6,1,13,1,7,1,6,1,13,2,6,1,13,1,6,1,7,1,13,1,30,1,28,1,6,1,7,1,6,1,13,1,8,1,13,1,6,1,7,1,13,3,6,1,7,1,13,2,6,1,13,1,8,1,13,1,6,1,13,1,8,1,6,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,2,9,1,13,2,10,1,9,1,8,1,9,1,8,1,9,4,8,2,9,1,8,2,13,1,9,2,8,1,9,1,8,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,10,1,17,1,16,2,17,2,16,3,11,1,16,7,17,1,16,8,11,2,16,3,11,1,16,1,11,1,16,2,10,1,11,2,16,1,11,1,9,1,16,1,10,1,11,2,9,1,11,1,9,1,16,1,11,2,9,1,16,1,11,3,9,4,11,5,9,1,11,5,16,1,10,1,9,1,11,2,16,1,10,1,16,1,9,1,16,1,10,1,9,5,11,1,9,1,11,1,16,4,11,3,16,1,17,1,11,3,16,2,11,1,16,1,11,1,16,1,9,1,16,2,11,3,9,2,11,1,9,2,11,1,9,1,16,1,11,1,9,4,8,1,9,1,13,1,9,2,13,1,9,2,13,1,10,1,8,1,9,1,8,1,11,1,9,4,11,1,9,1,11,1,16,1,9,1,11,2,9,1,11,2,9,2,8,1,16,1,11,1,9,1,10,1,11,1,16,1,17,13,16,1,17,1,9,1,16,2,9,1,8,3,17,1,8,1,24,1,9,1,12,1,8,1,24,1,9,1,24,1,12,1,13,1,8,1,24,1,8,1,24,1,9,1,24,1,13,1,8,1,13,1,24,1,8,1,13,1,24,1,8,1,9,1,24,2,8,2,6,1,24,2,8,1,13,1,24,2,13,1,6,1,8,6,24,2,7,1,8,1,24,1,6,1,24,1,8,2,13,2,6,1,13,1,12,1,6,1,8,1,13,1,8,1,7,1,8,1,12,1,7,1,24,1,8,1,13,1,8,1,24,1,7,1,8,1,13,1,24,1,9,1,24,1,8,1,24,1,29,1,8,1,24,1,13,3,24,1,8,1,13,1,24,4,13,2,8,1,13,2,8,2,7,1,13,3,8,1,6,1,24,1,8,1,7,1,8,1,13,4,6,1,29,1,8,1,13,1,8,2,7,1,13,1,6,1,7,1,13,1,8,1,24,1,6,2,8,1,7,1,13,2,7,1,24,1,6,1,8,1,7,1,8,1,13,2,29,1,8,1,24,2,6,1,13,1,8,1,13,1,8,2,24,1,13,1,6,1,8,1,13,1,6,1,13,1,6,2,13,3,7,1,13,1,30,1,7,2,6,1,7,1,8,1,13,1,7,1,6,1,8,1,7,1,13,2,6,1,8,2,6,1,13,3,7,1,13,1,6,3,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,3,29,1,28,1,30,2,28,6,30,1,28,35,29,1,6,2,30,1,28,20,30,1,28,2,8,1,9,1,10,1,17,1,11,2,16,1,11,3,9,1,11,2,9,1,11,3,16,1,9,1,16,1,9,1,11,2,9,1,16,1,9,1,11,1,8,1,9,4,6,1,10,1,8,1,10,1,8,3,13,1,9,4,11,1,9,4,16,1,9,1,16,1,10,1,16,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,2,11,1,9,2,11,1,9,2,10,1,16,1,17,1,9,1,11,2,9,1,11,1,9,1,11,1,9,2,11,1,13,2,9,3,13,2,8,1,13,1,9,2,13,1,9,7,13,2,8,2,13,2,9,1,13,2,9,1,6,2,8,1,13,6,6,2,13,1,33,121,5,612,33,1,13,1,6,1,28,1,30,1,28,2,30,1,28,10,30,1,28,9,30,3,28,40,13,1,28,18,30,2,28,3,30,1,28,5,30,1,28,1,30,1,28,2,6,1,30,1,29,1,28,14,30,1,28,1,6,1,28,1,30,1,28,39,5,195,28,2,13,1,6,1,24,1,8,2,7,1,13,1,9,1,8,3,17,5,12,1,24,2,13,2,7,1,8,1,24,1,12,1,9,1,17,1,12,1,13,1,28,5,30,1,10,1,14,1,16,1,13,1,30,1,6,1,30,2,28,25,15,1,14,1,10,1,8,2,24,1,9,1,12,3,24,1,8,1,7,1,13,1,6,1,7,1,13,1,9,1,17,1,10,1,30,1,28,4,6,1,11,1,13,1,}, {29,1,13,1,8,1,24,1,12,1,8,1,28,1,30,2,29,2,6,1,28,1,24,1,8,1,17,1,10,1,24,1,8,1,13,1,6,1,8,1,9,1,15,1,29,1,28,34,6,1,7,1,13,2,9,1,17,6,9,1,8,1,13,1,6,1,7,1,30,1,13,1,12,1,17,1,14,1,15,2,17,1,11,1,16,1,12,1,17,1,13,1,8,1,9,1,14,1,10,1,13,2,8,1,6,1,9,1,17,4,12,2,17,1,16,1,13,1,28,1,12,2,10,1,9,2,12,2,16,2,14,1,13,1,28,22,30,1,28,1,7,1,8,1,24,1,8,1,12,2,17,1,12,1,6,1,13,1,29,1,6,2,30,1,6,1,24,1,17,4,12,2,10,1,6,2,13,1,6,1,30,1,6,1,8,1,24,1,10,1,24,1,13,1,28,13,8,1,17,157,16,1,17,1,16,2,17,4,16,5,17,2,11,1,16,1,17,25,9,3,11,2,9,3,8,2,13,1,9,1,11,1,16,5,11,1,16,2,11,2,16,2,11,1,16,1,11,1,16,1,9,2,11,1,9,1,11,2,9,4,11,1,9,1,16,1,11,1,9,1,11,1,16,1,9,4,11,2,16,4,17,3,16,2,17,1,16,6,11,1,9,2,11,1,16,1,9,3,8,1,9,1,10,1,8,1,13,1,6,1,8,1,13,3,6,1,13,1,30,1,6,3,7,1,6,1,7,1,6,2,13,2,6,1,13,1,6,1,13,1,9,3,16,1,17,7,16,5,11,1,16,1,11,1,9,1,11,1,16,1,11,1,16,2,11,2,10,1,16,1,9,1,11,4,17,1,16,1,9,1,11,1,9,2,11,1,8,1,11,1,9,2,13,1,8,1,9,1,13,2,7,1,13,1,29,1,13,1,29,1,9,1,7,1,6,1,7,1,13,1,7,1,6,1,13,1,30,2,6,2,13,2,7,1,13,1,7,1,6,1,7,1,6,1,13,4,7,1,13,1,8,2,7,1,13,1,7,1,9,1,7,1,8,2,13,4,8,1,9,2,13,1,8,1,13,1,9,2,13,1,9,1,13,1,8,2,13,2,9,1,8,2,13,1,8,1,9,2,8,1,10,1,9,3,10,1,13,3,8,1,9,1,8,1,13,3,9,1,13,1,9,1,11,1,16,1,17,1,11,1,16,1,11,1,16,1,9,1,16,2,17,1,16,4,17,2,16,1,17,1,16,10,11,1,17,1,16,3,11,3,16,4,11,2,9,1,11,2,16,1,11,3,16,2,11,1,16,1,9,1,16,2,11,3,16,1,11,1,16,1,11,1,16,1,9,1,11,1,9,2,11,2,9,1,11,1,9,1,11,1,9,1,11,1,16,3,11,2,16,2,11,3,16,2,11,3,10,1,16,4,9,1,16,3,11,3,9,1,16,1,9,1,11,1,9,1,11,1,16,1,9,1,16,2,11,1,9,1,11,1,9,5,11,2,9,1,11,1,9,1,11,4,9,1,8,1,9,1,16,1,9,1,13,1,9,1,10,1,9,1,11,1,13,1,9,3,11,1,9,1,11,2,9,1,16,1,9,1,16,1,9,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,9,1,10,2,16,2,17,4,16,1,17,6,11,1,17,1,11,3,16,2,12,1,9,2,12,1,13,1,9,1,24,2,9,1,11,1,24,1,11,1,13,1,24,1,9,1,24,2,8,1,15,1,24,1,9,1,8,1,6,1,24,2,8,2,24,2,13,1,24,1,8,1,13,1,24,1,8,1,13,1,7,1,13,1,8,1,13,2,24,1,8,1,24,1,8,2,24,2,8,2,24,1,13,2,8,3,13,2,9,1,6,1,10,1,24,1,8,1,13,1,8,1,7,1,29,1,12,1,8,1,24,1,7,1,13,1,8,1,13,1,8,3,24,1,8,6,13,1,10,1,13,1,8,1,24,1,6,1,8,3,13,2,24,1,8,6,24,3,8,3,10,1,13,5,8,1,6,1,8,1,7,1,8,1,6,2,24,2,6,1,8,1,13,1,7,1,8,1,9,1,8,2,7,1,13,1,7,1,13,1,8,1,24,1,7,1,13,1,8,2,6,1,24,1,6,1,8,1,13,1,6,1,24,1,6,1,9,1,24,2,8,1,9,1,13,1,6,1,13,1,8,2,13,1,8,1,13,1,6,1,13,1,6,1,24,1,7,1,8,2,6,1,7,1,6,1,8,2,6,1,8,1,30,1,13,1,6,1,13,1,7,1,13,1,7,1,29,1,13,1,6,1,13,2,7,2,6,1,29,4,28,1,6,1,30,1,28,1,30,2,28,6,30,1,6,1,28,41,6,1,30,3,28,22,13,1,10,1,9,1,11,8,16,2,11,4,16,2,9,1,16,1,11,3,10,1,9,2,13,1,9,2,13,1,9,2,11,1,9,1,8,1,9,4,11,1,9,1,8,1,9,3,8,1,11,1,9,1,11,1,9,1,11,1,9,9,11,1,9,1,11,5,9,1,11,4,9,1,16,2,11,1,9,1,11,3,9,1,16,1,9,3,11,1,13,2,8,1,13,3,8,2,9,1,13,1,9,3,8,1,9,4,13,2,9,1,13,1,8,1,6,1,7,1,9,1,13,4,6,1,13,2,8,1,13,3,9,2,13,1,33,121,5,611,33,1,28,2,6,1,30,1,28,1,30,1,28,23,30,1,28,42,30,2,28,14,6,1,28,1,6,1,13,1,28,4,6,1,28,7,30,3,28,63,5,191,28,2,6,1,13,1,8,5,13,2,8,1,10,1,16,1,17,3,10,2,11,1,8,1,13,1,7,1,24,1,10,1,24,1,10,1,9,1,10,1,12,1,8,1,28,5,30,1,8,1,14,1,9,1,13,1,29,1,7,1,30,2,28,25,15,1,14,1,9,2,8,2,15,1,12,1,16,1,11,1,24,1,13,1,7,1,6,2,7,1,13,1,10,1,8,1,9,1,30,1,28,4,7,1,11,1,9,1,}, {29,1,13,1,24,1,8,1,14,1,12,1,29,1,30,1,28,2,6,1,29,1,28,1,8,1,12,1,13,1,29,1,6,1,7,1,13,2,8,1,24,1,10,1,13,1,28,25,30,1,28,8,29,1,6,1,24,1,13,1,7,1,9,1,17,5,16,1,13,4,29,1,6,1,24,1,17,2,9,1,11,1,9,1,12,1,10,1,17,2,13,3,14,1,9,1,13,1,6,2,13,2,17,3,12,1,9,2,11,1,13,2,30,1,13,1,17,2,11,1,17,1,10,1,11,2,14,2,9,1,29,1,28,23,29,1,13,1,24,1,13,1,10,1,17,2,11,1,9,1,6,1,30,1,8,1,6,2,13,2,17,5,12,1,9,1,30,1,6,4,13,3,9,1,12,1,6,1,28,8,30,1,28,3,13,1,17,68,16,1,17,86,16,7,17,1,16,1,17,1,16,7,17,1,16,1,17,1,16,1,17,5,16,1,17,17,16,1,9,1,11,1,9,2,11,1,9,2,10,1,8,1,9,1,10,1,9,1,11,1,17,2,16,9,11,2,16,2,9,2,11,1,9,3,13,1,9,2,11,1,9,4,11,2,9,3,11,1,9,1,16,1,9,1,16,1,11,2,16,4,17,1,16,1,17,1,16,2,17,1,16,4,17,1,9,2,16,1,11,1,9,2,11,2,13,1,9,1,8,2,9,1,6,2,8,2,29,1,7,1,6,1,30,1,13,1,29,1,13,4,7,1,6,2,7,1,6,1,13,1,9,1,11,1,16,2,17,10,16,2,11,1,16,2,11,1,16,1,11,4,16,1,9,1,11,2,16,1,9,1,16,2,11,4,9,1,11,1,9,2,16,1,9,1,10,1,9,1,10,1,8,3,13,1,6,1,7,1,13,1,7,1,30,1,13,1,7,1,6,1,8,1,13,1,29,1,6,2,13,2,7,1,6,1,13,1,29,1,6,1,13,1,7,1,6,1,7,1,13,1,30,1,13,2,6,1,8,1,6,2,13,1,6,2,13,1,6,1,8,1,7,1,8,1,13,1,8,1,9,1,13,2,8,1,13,2,9,1,8,1,6,1,9,1,8,1,13,4,6,1,9,1,13,2,10,1,8,2,9,1,6,1,13,1,9,1,8,1,9,1,10,1,13,1,8,2,9,2,10,1,13,1,8,1,13,1,9,2,13,1,8,1,13,2,9,1,11,3,9,3,10,1,17,1,16,2,17,1,16,2,17,2,16,8,17,2,16,1,17,2,16,1,11,1,17,1,16,3,11,1,16,2,11,1,16,1,11,2,16,2,11,2,9,1,16,2,9,1,11,4,9,2,11,2,10,1,11,1,9,1,11,5,9,2,11,1,9,1,11,2,16,2,9,3,16,2,11,1,16,2,11,1,16,1,11,3,16,3,11,1,16,2,11,1,16,2,11,3,16,2,11,1,10,1,16,3,11,2,9,1,11,1,9,1,16,1,11,1,9,1,11,4,9,1,16,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,10,1,9,1,8,1,9,1,10,1,8,1,9,1,13,2,9,5,11,1,9,1,13,1,9,1,11,3,16,1,11,1,16,1,11,2,16,2,11,1,16,2,11,1,16,1,11,1,9,1,11,1,9,1,11,1,17,8,16,1,17,2,10,1,17,1,9,1,11,1,12,1,8,1,10,1,8,1,24,1,8,1,9,1,10,1,24,1,10,1,9,1,24,2,9,1,13,1,8,1,24,1,13,1,24,1,8,1,24,2,7,1,24,1,6,1,8,4,9,1,13,1,24,1,8,1,24,1,7,1,24,3,8,1,24,1,13,1,24,1,13,1,8,1,7,1,24,1,9,1,8,2,9,1,13,1,8,1,10,1,13,1,8,1,24,1,12,1,9,1,24,1,12,1,8,4,13,1,12,1,8,1,24,1,9,1,8,1,13,1,8,1,13,1,24,1,8,1,24,1,9,1,8,1,24,1,8,1,24,1,8,1,6,1,12,1,29,1,8,2,9,1,13,1,24,1,8,1,12,1,8,2,13,1,8,1,24,1,13,1,7,1,24,1,29,1,7,1,8,1,24,2,6,1,8,1,24,1,13,2,8,1,7,1,9,1,13,1,7,1,10,1,8,1,10,1,7,1,24,1,13,1,24,1,8,4,13,1,24,2,13,2,24,1,13,1,8,1,13,1,7,1,8,2,10,1,24,1,13,1,24,2,8,1,13,1,8,1,13,1,8,1,24,1,8,1,10,1,24,2,9,1,13,2,8,1,13,2,6,1,13,1,24,1,13,1,7,1,8,1,13,1,24,1,7,1,8,1,13,1,8,1,7,1,8,2,29,1,13,3,7,2,8,1,13,3,8,3,6,2,28,1,29,1,30,1,28,1,30,2,28,4,29,1,28,4,7,1,28,44,6,1,29,1,6,2,28,1,29,1,28,20,11,1,12,1,13,1,11,1,16,1,11,2,16,1,11,2,10,1,11,2,9,1,11,1,16,1,11,4,9,1,11,2,9,3,13,1,9,2,13,6,9,1,11,1,9,2,13,1,9,5,13,1,11,2,9,1,11,2,9,2,11,1,9,2,11,1,13,1,11,3,9,1,16,1,11,1,9,5,8,1,9,2,11,1,8,1,9,4,11,1,9,3,11,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,2,8,1,13,4,6,1,13,3,6,1,13,1,9,1,13,4,6,1,13,2,6,1,7,1,13,1,6,1,9,1,13,8,6,1,13,1,6,1,33,122,5,610,6,1,28,1,30,2,28,3,30,1,28,5,30,1,28,4,6,1,28,9,30,1,28,2,30,2,28,3,30,1,28,51,30,1,28,1,30,1,6,1,28,1,13,1,28,1,30,1,28,11,6,1,28,66,5,187,28,2,6,1,7,1,8,2,13,1,8,2,13,1,24,1,8,1,24,1,12,1,17,3,11,1,16,1,24,1,9,1,13,1,6,2,10,1,9,5,13,1,6,1,28,4,6,1,9,1,14,1,16,1,8,1,13,1,30,1,28,1,30,2,28,23,30,1,14,2,11,1,8,2,24,1,9,1,17,2,9,1,13,3,7,2,13,1,8,1,9,1,10,2,28,4,30,1,13,1,14,1,9,1,}, {6,2,13,1,9,1,12,1,24,1,29,1,30,1,28,1,30,1,6,1,13,1,6,1,13,1,9,1,12,1,9,1,6,1,13,4,8,1,9,1,13,1,28,34,6,1,7,1,6,1,13,1,8,1,12,2,17,1,11,1,17,2,9,2,13,1,7,1,29,1,7,1,6,1,11,1,14,1,17,2,11,1,24,1,12,3,9,1,13,2,11,1,17,1,9,1,6,1,13,1,29,1,6,2,17,3,16,1,11,3,13,1,6,1,28,1,24,1,17,2,11,1,17,1,11,1,16,1,9,2,14,1,15,1,29,1,28,1,30,1,28,7,30,1,28,5,30,1,28,7,29,1,13,1,9,1,10,1,12,2,17,1,11,1,8,1,6,4,13,2,10,1,12,1,17,1,12,3,9,1,8,1,13,1,6,1,7,1,6,1,7,1,30,1,13,2,24,1,9,1,8,1,28,12,13,1,17,69,16,1,17,83,16,1,17,1,16,2,17,1,16,2,11,1,16,4,17,1,16,2,11,2,16,3,17,3,16,2,17,11,16,2,17,2,16,1,17,5,9,1,11,1,9,11,17,6,16,1,17,1,16,6,9,1,11,1,9,1,11,2,8,1,9,1,11,1,9,6,11,1,9,2,11,1,9,5,11,1,9,1,16,1,11,1,9,1,16,6,17,1,16,7,17,1,10,1,11,1,9,1,13,1,9,1,11,1,9,3,13,1,9,1,13,1,6,1,7,1,13,1,6,1,13,1,30,1,13,1,6,1,29,1,7,3,29,1,7,1,13,2,6,3,8,1,10,1,16,4,17,1,16,2,17,8,16,2,11,2,16,1,9,1,16,3,9,2,17,1,11,1,10,1,11,2,16,1,11,1,16,1,10,1,16,1,11,6,16,1,11,1,9,1,10,1,13,1,9,1,7,1,6,1,8,1,6,1,8,1,6,1,13,1,29,1,13,2,6,2,8,1,13,3,8,1,6,1,13,2,7,2,13,1,6,1,13,1,29,1,13,1,6,3,7,1,6,1,30,1,13,3,24,1,6,1,13,1,7,1,8,1,13,2,7,1,13,1,8,4,9,1,8,1,13,1,8,1,13,3,7,1,13,1,8,1,9,1,13,2,6,1,9,1,8,1,13,1,8,1,13,2,9,2,7,1,11,1,9,3,8,1,11,2,9,1,13,2,7,1,13,1,6,1,13,2,9,1,13,1,8,1,11,3,9,1,10,1,16,2,17,2,16,1,17,1,16,2,17,1,16,2,17,1,11,1,16,1,17,1,11,1,16,3,17,1,11,1,16,5,17,1,16,9,11,1,17,1,16,4,9,3,11,1,16,1,9,1,11,2,16,1,9,1,11,3,9,2,11,3,9,1,11,3,16,1,10,1,11,3,16,5,9,1,10,1,11,5,9,1,16,3,11,1,16,5,11,2,16,1,11,1,16,4,17,1,16,1,11,1,16,1,11,1,16,1,11,1,16,5,11,1,9,1,11,1,9,1,16,1,9,1,11,2,9,2,13,1,8,1,9,2,13,1,8,1,13,2,9,1,13,1,11,1,8,1,9,1,13,1,9,4,11,2,9,2,16,1,11,1,9,4,16,1,11,2,9,1,11,4,9,1,11,1,13,1,11,2,16,1,17,13,11,1,9,1,12,1,17,1,12,1,10,1,9,1,12,1,13,1,16,1,9,4,8,2,24,1,9,1,10,1,9,1,12,1,7,1,8,1,24,1,8,1,9,1,24,1,8,1,10,1,8,1,9,2,8,3,24,1,8,1,13,1,7,1,24,2,9,1,12,1,8,1,9,1,24,2,9,1,24,1,13,1,24,1,8,1,24,2,9,1,24,1,8,1,24,1,9,2,8,1,13,1,9,1,13,1,8,1,13,1,8,1,24,1,13,1,24,1,8,1,24,1,9,2,24,1,8,1,17,1,10,2,9,1,24,1,8,7,13,2,24,2,8,3,9,1,6,1,12,1,8,1,24,2,8,2,24,1,9,1,24,1,8,1,13,1,24,1,8,1,7,1,8,4,12,1,8,1,10,1,13,1,10,1,8,2,24,1,9,1,12,1,8,1,24,1,12,1,24,1,9,1,10,1,24,1,13,2,24,1,8,1,24,2,8,1,24,1,13,1,30,1,24,1,8,3,24,4,10,1,9,1,12,1,8,4,11,1,9,1,13,1,8,2,13,1,8,2,13,1,8,3,7,1,8,1,9,1,13,1,24,1,13,1,8,3,13,2,12,1,29,1,8,1,13,1,8,1,13,2,7,1,13,1,7,1,6,4,28,1,30,2,29,1,30,2,29,1,28,9,30,1,28,1,29,1,28,2,30,1,28,37,29,1,6,2,28,2,29,1,6,1,28,17,9,1,16,1,11,2,9,1,16,1,9,1,11,5,16,1,9,1,11,1,16,1,11,3,9,1,11,1,9,1,11,1,9,3,13,3,9,3,11,1,9,1,11,1,9,2,11,1,9,1,10,1,11,2,9,3,11,3,9,4,8,1,9,1,11,1,9,2,8,1,11,1,9,2,10,1,13,1,11,1,9,3,11,1,9,3,11,1,9,2,11,2,9,2,11,1,9,4,10,1,9,1,13,4,7,1,13,2,9,1,13,1,9,2,11,2,13,2,6,1,13,1,8,1,13,1,9,1,13,1,30,1,13,3,9,1,30,1,13,1,6,1,7,1,13,2,7,1,13,1,9,2,8,2,9,1,30,1,9,1,13,3,33,121,5,610,6,1,28,1,30,1,28,2,30,1,6,1,30,1,6,1,28,5,30,1,28,18,30,1,28,53,30,4,6,1,28,3,30,1,28,1,30,3,28,1,30,1,28,21,30,1,28,50,5,186,28,2,7,1,6,1,24,1,8,1,13,1,8,1,24,1,8,3,13,1,12,1,17,2,16,1,17,1,12,1,10,2,8,1,29,1,8,3,24,1,9,1,10,1,9,1,6,1,28,5,30,1,8,1,15,1,10,1,8,1,30,1,6,2,28,25,6,1,15,1,14,1,9,2,24,1,9,2,17,1,11,2,13,2,7,1,30,1,6,1,13,2,12,1,10,1,13,1,28,5,13,1,12,1,24,1,}, {30,1,8,1,24,1,8,1,15,1,8,1,30,1,29,3,30,3,29,1,24,1,13,2,24,1,30,1,8,1,29,1,8,2,10,1,6,1,28,34,8,1,6,3,13,1,9,3,17,3,11,1,13,1,6,1,8,1,6,1,28,1,6,1,10,1,17,3,11,1,12,1,9,2,12,1,9,1,8,1,6,1,24,1,9,1,10,1,30,1,6,2,29,1,13,1,9,1,14,1,17,1,8,1,11,1,8,1,9,1,13,2,30,1,8,1,17,2,10,1,17,1,10,1,16,1,9,1,16,1,14,1,13,1,6,1,30,1,28,10,30,1,28,11,29,1,7,1,8,1,24,1,12,1,9,1,17,2,9,1,13,1,7,1,29,1,6,2,13,1,12,1,10,1,17,1,12,1,15,1,12,1,9,1,8,1,13,1,30,1,6,2,29,1,6,2,13,1,24,1,9,1,6,1,28,11,30,1,7,1,11,1,17,151,16,2,17,1,16,4,9,1,16,8,11,1,16,6,17,1,16,2,17,2,16,2,17,3,16,2,17,3,16,2,17,4,16,1,17,1,13,1,9,3,8,1,9,1,10,1,9,1,10,2,11,1,9,2,16,1,17,6,16,7,11,1,9,1,16,1,9,3,11,1,9,1,13,1,16,1,9,1,13,1,9,1,11,1,9,1,11,1,9,6,11,1,9,4,11,1,9,1,16,5,17,1,16,5,11,1,16,3,11,1,9,2,13,1,9,5,8,1,13,4,8,1,6,8,13,1,8,1,13,1,6,1,7,1,13,1,9,1,11,1,16,1,17,1,16,1,11,1,16,5,17,8,16,3,11,1,9,1,11,1,16,1,11,3,16,1,11,2,10,1,11,1,10,1,11,1,9,2,16,1,9,1,11,1,16,1,9,1,17,1,9,2,11,2,9,3,8,2,13,3,6,2,13,1,6,1,13,1,6,2,13,1,7,1,13,1,7,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,29,1,6,1,29,1,6,1,13,2,7,1,13,6,6,3,7,1,13,2,6,1,13,2,6,1,13,1,8,1,13,1,8,1,13,4,7,1,9,1,8,2,13,3,8,1,13,3,8,1,13,1,8,1,13,2,16,1,10,1,9,3,10,1,9,1,10,1,9,1,11,1,8,1,9,1,13,1,9,2,13,1,8,1,9,3,8,1,9,1,10,1,9,1,11,1,9,1,11,1,16,2,17,1,16,2,17,1,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,2,16,2,11,1,17,1,16,2,11,1,16,12,11,1,16,2,11,1,16,3,9,2,11,1,9,1,11,1,16,1,11,1,16,1,9,1,16,2,9,1,16,1,9,1,11,2,9,1,11,2,16,3,11,3,16,1,9,1,11,1,9,1,11,1,13,1,16,1,9,1,11,1,9,1,16,1,11,2,16,3,11,3,16,2,17,1,16,1,9,1,11,2,16,1,9,1,16,3,11,1,16,2,11,1,16,2,11,1,16,1,11,2,9,2,11,1,9,1,11,3,8,1,9,6,8,1,9,2,8,1,9,2,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,16,1,11,2,16,1,11,2,16,1,11,3,16,1,9,3,11,2,13,1,9,1,10,1,9,3,11,1,10,1,17,11,16,2,17,2,9,1,16,1,12,1,11,1,10,1,11,1,10,1,9,5,8,1,9,1,10,1,24,1,9,2,24,1,8,3,17,1,12,1,9,1,24,2,9,1,24,1,9,1,13,1,10,1,13,1,24,1,8,1,24,1,12,1,9,1,8,1,10,1,8,1,9,1,24,2,9,2,13,1,10,1,11,1,9,1,8,2,24,1,8,1,10,1,24,1,9,1,24,1,9,1,24,3,8,1,24,1,12,1,24,2,8,1,10,1,12,2,8,1,10,1,8,1,24,2,7,1,24,1,9,1,13,1,9,1,10,2,13,1,24,1,13,1,8,1,10,1,24,1,8,1,24,1,8,1,24,1,12,1,8,2,9,1,10,1,8,1,9,1,24,1,13,1,24,1,10,1,24,1,8,1,24,2,13,1,9,1,13,1,10,1,9,1,13,1,24,1,17,1,13,1,24,1,12,1,24,1,8,2,9,1,13,1,10,1,24,1,13,1,8,1,9,1,8,2,24,1,9,1,13,1,8,1,9,1,13,1,8,1,24,2,9,3,8,1,17,1,12,1,8,1,11,1,9,1,8,1,9,2,8,1,9,1,8,2,9,1,24,1,8,1,10,1,9,2,13,1,24,1,13,1,10,1,24,1,8,1,24,1,8,2,13,1,9,1,24,1,8,1,9,1,8,1,24,1,13,2,6,1,24,1,8,1,6,1,8,1,30,1,7,1,28,3,30,1,28,9,30,1,28,1,30,1,28,3,30,1,28,2,30,1,28,8,29,1,28,31,29,1,30,2,6,1,28,1,30,1,6,1,7,1,30,1,28,14,6,1,9,2,11,1,9,2,11,3,9,1,11,3,10,1,11,5,9,3,10,1,13,2,9,1,8,1,13,1,8,1,13,1,9,2,8,1,11,1,9,2,11,1,9,1,13,1,9,1,11,1,16,1,9,2,11,1,9,1,11,1,9,2,13,1,9,2,8,1,9,3,8,1,9,5,11,2,9,1,11,2,9,4,11,1,8,1,9,1,16,1,9,3,11,1,9,1,11,2,9,2,10,1,8,2,9,1,13,4,9,1,16,1,9,1,11,1,9,3,11,1,8,1,9,2,13,10,6,1,13,3,6,1,13,2,8,1,9,2,13,1,8,2,30,1,13,3,33,121,5,610,28,3,6,1,28,1,30,1,28,1,6,1,28,27,30,1,28,47,30,1,28,3,6,1,30,3,28,3,30,2,28,5,30,3,28,21,30,1,28,48,5,184,33,1,28,2,6,1,8,3,13,2,8,2,13,1,8,1,13,1,9,1,17,2,16,1,17,1,11,1,17,1,8,1,13,1,7,2,8,1,24,1,9,1,12,1,9,1,12,1,8,1,28,1,30,1,28,1,30,2,6,1,9,1,12,1,10,1,8,1,29,1,6,1,30,1,28,25,6,1,14,2,15,1,10,1,8,2,9,1,12,1,11,1,12,1,7,1,8,1,28,1,6,1,29,1,13,1,24,2,8,1,11,1,30,1,28,4,13,1,17,1,13,1,}, {13,2,8,2,14,1,8,1,6,1,30,3,29,1,28,1,13,2,8,1,13,1,8,1,13,1,30,1,13,1,6,1,13,1,8,1,10,1,6,1,28,34,6,1,29,1,6,1,29,1,13,1,24,1,10,1,12,1,17,3,10,1,13,1,8,1,29,2,6,1,13,1,9,1,17,1,10,1,9,1,11,1,9,2,10,1,17,1,9,1,8,2,24,1,17,1,8,1,29,1,7,1,13,1,6,2,8,1,17,1,11,1,9,1,10,1,9,2,13,1,8,1,7,1,13,1,17,2,16,3,11,1,17,1,12,1,14,1,9,1,13,1,28,1,30,1,28,4,30,1,28,2,30,1,28,8,30,1,28,5,8,1,9,1,8,1,24,1,12,1,17,2,24,1,28,1,6,1,29,1,6,1,13,2,9,1,17,3,11,1,9,1,13,2,30,1,6,1,7,2,6,2,8,1,7,1,10,1,12,1,13,1,28,12,30,1,13,1,17,147,16,3,17,2,16,3,11,1,16,1,9,1,11,1,9,1,16,6,11,1,16,1,11,1,16,2,17,1,16,1,17,1,16,1,17,7,16,1,17,4,16,2,17,1,16,6,9,1,13,1,8,1,9,1,8,3,9,1,13,1,9,4,17,7,16,1,17,1,16,1,17,1,16,1,11,1,16,2,11,2,16,1,9,3,11,2,9,1,13,1,9,4,11,1,9,1,11,1,13,1,9,6,8,1,9,2,8,1,9,2,11,1,16,2,17,1,16,2,11,1,16,5,17,1,11,1,9,5,13,1,9,1,8,1,13,1,9,1,13,3,6,2,13,1,6,6,13,1,6,2,29,1,13,2,10,1,16,1,11,1,17,1,16,3,11,3,16,3,17,8,9,1,16,2,11,1,16,1,11,3,16,1,11,2,9,1,16,1,11,2,10,1,16,2,9,2,16,1,9,1,17,1,11,3,10,1,9,1,10,1,9,3,8,1,9,1,13,1,29,1,13,3,6,3,8,1,6,1,29,1,13,1,6,1,13,1,29,1,30,1,13,1,6,1,13,1,6,1,13,1,28,1,8,1,29,1,6,1,29,1,13,1,29,1,6,2,13,1,6,1,13,4,7,1,6,1,8,1,7,1,13,2,6,1,13,1,6,1,9,1,7,1,13,2,9,1,13,2,8,1,13,2,9,1,13,1,8,1,13,1,8,1,13,3,8,1,13,4,9,3,13,2,9,3,8,1,9,1,13,1,9,1,8,1,10,1,13,4,9,5,8,1,9,1,11,2,9,2,11,1,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,5,17,1,11,1,16,3,17,1,16,17,11,2,9,2,11,2,16,1,11,1,9,1,16,1,9,1,11,2,16,1,11,1,16,1,9,1,16,1,11,4,9,1,11,2,17,1,11,4,9,1,11,3,9,1,16,1,11,3,16,3,11,5,16,1,11,1,16,2,11,1,16,1,11,1,16,1,10,1,11,5,16,2,11,2,9,1,11,1,9,3,11,1,9,1,11,1,8,1,9,1,8,1,10,1,11,1,9,2,10,1,9,1,11,2,8,1,9,1,11,1,9,2,11,1,9,1,8,1,9,4,13,2,9,3,11,1,10,1,11,1,9,2,11,1,16,2,17,1,16,1,11,2,16,2,9,1,11,2,9,1,11,2,9,1,10,1,11,2,9,1,16,2,17,13,16,2,17,1,9,1,12,1,11,1,9,1,10,1,17,1,9,1,8,1,12,1,9,3,8,1,10,2,9,1,12,2,24,2,11,1,8,2,12,1,24,1,12,1,8,1,9,1,12,1,10,1,9,1,8,2,12,1,24,1,12,1,10,1,9,1,12,1,10,1,8,1,10,1,8,1,10,1,8,1,12,1,24,1,8,1,10,1,9,2,10,1,9,1,8,1,9,1,24,1,8,1,10,2,12,1,10,1,12,2,9,1,12,1,24,1,10,1,9,2,24,1,12,1,24,2,9,1,24,1,12,1,8,1,24,1,9,1,8,1,12,1,24,2,8,1,24,1,9,1,8,1,10,1,24,2,13,1,9,1,13,1,12,1,24,2,8,1,24,2,8,1,9,1,13,1,8,2,24,1,8,1,13,1,10,1,6,1,24,1,8,1,9,1,8,1,9,1,24,1,8,2,24,1,10,1,9,4,8,1,10,1,8,4,9,3,11,1,24,1,11,1,9,1,8,1,17,1,10,2,11,1,12,1,10,2,9,1,11,1,8,1,12,1,9,2,17,1,12,2,8,1,9,1,24,1,17,1,7,1,8,1,24,1,9,1,8,1,24,1,8,2,9,1,24,3,8,1,9,1,8,2,24,1,13,1,8,1,24,1,6,1,7,1,28,1,7,1,28,1,30,1,28,1,30,2,28,2,30,1,28,7,29,1,28,3,30,2,28,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,24,30,1,28,8,30,1,29,1,6,5,30,1,6,1,28,14,6,1,10,1,16,1,9,1,16,1,9,1,11,1,9,1,16,1,11,1,16,1,11,6,9,1,11,1,9,3,11,1,10,1,13,1,9,4,13,1,9,2,16,1,10,1,11,3,9,4,13,1,8,1,9,1,8,1,9,1,13,1,10,1,9,4,11,1,10,1,11,1,13,1,11,1,9,1,11,2,9,1,11,1,16,1,9,3,11,1,9,1,16,1,9,3,11,1,9,1,11,1,9,2,11,2,9,1,11,1,13,1,8,1,11,1,9,3,13,2,9,1,13,3,9,1,16,1,11,1,16,2,9,2,8,2,13,2,9,1,8,1,10,1,13,2,9,1,13,8,9,1,13,3,30,1,13,8,33,121,5,609,13,1,28,1,30,1,28,5,30,1,28,1,30,1,28,4,6,1,5,5,33,1,28,15,30,1,28,4,30,1,28,42,30,1,28,1,30,3,28,1,6,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,6,1,30,1,28,42,30,1,28,28,6,1,5,182,13,1,28,2,6,1,13,1,9,1,13,3,8,1,9,1,13,2,9,1,17,2,16,1,9,1,12,1,16,1,12,1,9,1,24,1,6,1,8,1,24,2,8,1,9,1,12,1,10,1,13,1,6,1,30,1,28,3,29,1,24,1,14,1,12,1,8,1,6,3,30,1,28,24,30,1,9,1,14,1,15,1,10,1,13,1,24,1,10,1,12,2,9,2,13,1,7,1,6,2,8,1,9,1,12,1,11,1,8,1,28,5,13,1,17,1,6,1,}, {6,1,7,1,8,2,15,1,7,1,30,1,7,1,29,1,13,1,28,1,30,1,29,1,7,1,13,1,24,1,13,2,6,1,13,3,7,1,11,1,8,1,28,22,30,1,28,11,29,2,28,2,13,1,8,1,11,1,9,1,12,1,17,2,9,1,13,2,8,1,13,1,6,1,13,1,9,1,17,1,9,1,12,1,11,1,9,1,12,1,17,1,12,1,17,1,8,1,6,1,24,1,14,1,12,1,6,1,13,2,30,2,15,1,14,1,9,1,16,1,10,1,11,2,13,1,8,2,13,1,17,2,10,1,11,1,16,1,10,1,17,1,10,1,14,1,11,1,6,3,30,1,28,15,30,1,28,4,6,1,8,2,24,1,12,1,11,1,17,2,8,2,6,1,29,1,7,1,6,1,13,1,12,1,17,1,12,1,11,1,8,1,9,1,8,1,13,1,6,1,8,1,30,1,13,2,8,1,13,1,24,1,9,1,17,1,9,1,29,1,28,12,7,1,17,146,16,2,17,2,16,3,11,1,9,1,11,1,16,1,9,1,16,1,9,1,16,9,17,6,16,1,17,6,16,1,17,2,16,1,17,2,16,8,9,1,13,2,8,2,13,3,8,2,9,1,10,1,16,1,17,7,16,1,17,4,16,4,11,1,16,1,11,1,9,7,16,1,11,1,9,5,11,1,8,1,9,2,13,1,9,3,8,1,11,1,9,4,16,4,11,1,16,6,9,4,8,1,9,3,8,2,13,1,6,1,13,1,6,1,13,1,30,1,6,2,29,1,6,2,7,1,6,1,29,1,7,2,6,1,8,1,13,1,9,1,16,4,11,2,9,2,16,5,17,6,16,6,11,2,16,1,11,1,16,2,11,2,16,1,11,4,16,1,11,1,16,4,9,2,11,2,10,2,11,1,9,1,13,2,9,1,13,1,8,1,6,2,13,1,7,1,6,4,7,1,13,1,7,1,13,3,7,1,6,1,13,1,29,2,7,1,6,1,7,2,6,1,13,1,6,1,13,2,6,1,24,1,6,1,7,1,6,1,13,1,6,2,13,2,7,1,13,1,6,1,9,1,8,3,13,2,8,1,13,1,6,1,9,1,13,3,8,1,13,5,8,1,13,1,7,1,6,1,10,1,9,1,8,1,9,2,13,2,9,4,8,2,9,1,13,1,8,1,9,1,13,2,9,2,13,1,9,2,8,3,9,3,11,2,16,3,17,1,16,1,17,1,16,3,17,1,11,1,16,9,17,1,11,1,17,1,16,2,11,1,17,1,16,4,11,3,17,1,16,2,11,1,8,1,16,1,11,1,9,2,11,2,9,1,16,1,11,4,16,2,11,1,16,1,11,1,16,1,11,1,9,1,11,2,10,1,11,1,9,1,11,2,9,1,16,2,9,1,16,1,9,1,11,1,16,5,11,1,16,3,11,1,16,1,11,1,16,4,11,2,9,1,16,1,11,1,9,1,11,3,16,3,11,1,9,1,11,2,9,1,11,1,9,1,16,1,11,4,9,1,11,3,10,1,9,6,13,1,8,1,9,2,8,1,11,1,9,2,10,1,16,1,9,1,11,2,9,1,16,2,17,1,11,1,9,1,11,4,16,1,11,1,9,1,11,5,9,3,8,1,9,1,8,1,16,1,10,1,11,1,16,1,17,9,16,1,17,4,11,1,17,1,12,1,9,1,17,1,8,1,9,1,17,1,12,1,9,1,12,1,11,1,17,1,12,1,17,1,12,1,17,1,10,1,9,1,8,1,10,1,9,1,12,1,9,1,24,1,12,1,8,2,10,1,12,1,17,1,8,1,9,1,15,1,9,1,24,1,17,1,9,2,10,1,9,1,17,2,9,1,10,2,24,1,10,1,9,1,13,1,17,1,12,2,10,1,9,2,10,1,9,1,24,1,12,1,24,1,9,2,12,1,10,1,9,1,17,1,9,2,13,1,17,1,9,1,11,1,10,1,9,2,17,1,9,1,8,1,24,1,9,1,12,1,24,2,9,1,24,1,12,1,8,1,24,3,8,1,17,1,8,1,9,1,24,1,9,2,24,1,9,1,24,1,8,1,10,2,24,1,9,1,11,1,8,1,24,2,17,2,9,1,8,1,24,1,12,1,9,1,10,1,9,1,10,1,13,1,12,1,10,1,9,2,10,1,11,2,16,2,12,1,8,1,9,1,16,1,9,1,11,1,9,1,17,1,16,1,17,3,11,1,12,1,17,1,10,1,17,1,9,2,11,2,17,1,9,1,11,1,9,1,8,1,9,2,11,1,9,2,24,2,13,1,9,2,24,2,9,1,8,1,13,1,24,1,13,1,10,1,9,1,8,1,13,2,29,1,8,1,6,2,7,1,28,1,30,3,28,11,29,2,28,6,30,1,28,2,30,1,28,1,30,2,28,23,6,1,30,1,28,10,13,1,29,1,7,1,29,1,6,1,29,2,28,13,13,2,9,2,10,1,9,1,11,2,9,1,11,1,10,1,11,2,10,1,9,1,11,1,9,3,11,1,10,1,9,3,8,1,9,2,8,1,13,1,8,1,9,2,11,1,10,1,16,1,9,1,16,1,9,3,8,1,13,1,11,1,13,1,8,2,13,1,9,6,13,2,9,1,13,2,11,1,9,1,11,2,9,1,11,2,9,1,11,1,9,5,11,1,9,1,11,1,9,2,11,1,9,1,10,1,11,2,9,2,11,1,9,2,13,1,9,1,13,3,9,1,11,1,16,1,10,1,11,2,9,2,8,1,9,1,13,3,9,2,11,1,13,1,9,1,13,2,6,1,13,2,6,2,9,1,13,3,30,1,13,1,6,1,7,1,13,3,6,1,30,1,13,1,6,1,33,121,5,609,6,1,28,2,6,1,30,1,28,2,30,1,28,6,5,10,33,1,28,9,6,1,28,3,6,1,28,39,6,1,30,3,28,7,6,1,28,3,30,1,28,1,30,1,28,5,30,1,28,1,6,1,28,11,30,1,28,9,30,1,28,6,30,2,28,13,6,4,28,25,33,1,5,180,6,1,28,2,6,1,13,1,9,1,24,1,9,1,8,1,13,1,24,1,8,1,13,1,9,1,17,1,16,1,17,1,11,1,17,1,11,1,17,1,9,1,13,2,8,1,24,1,12,2,24,1,17,1,11,1,8,1,29,2,28,3,6,1,9,1,14,1,9,1,13,1,28,1,13,1,30,1,29,1,28,24,30,1,15,1,14,1,9,2,13,2,9,1,17,1,12,1,9,1,8,1,30,3,29,1,8,1,24,1,10,1,17,1,8,1,28,5,13,1,17,1,6,1,}, {6,1,8,1,13,1,8,1,14,1,8,1,6,1,28,2,6,1,30,1,6,2,30,1,11,1,9,1,13,1,6,3,13,2,8,1,9,1,6,1,30,1,28,19,30,1,28,14,6,1,28,2,9,1,12,1,10,1,24,1,17,4,13,1,11,1,13,1,29,1,6,1,13,1,9,1,17,1,12,2,24,1,9,1,10,1,17,1,12,2,8,1,6,1,24,1,17,1,15,1,7,1,13,2,6,2,12,1,14,1,17,1,12,1,11,1,8,1,9,1,12,1,9,1,13,1,9,1,12,1,17,1,10,1,12,1,11,1,10,1,11,1,16,1,14,1,9,1,13,1,30,1,7,1,28,1,30,2,28,1,30,1,28,10,30,1,6,1,30,1,7,1,6,1,29,1,7,1,9,1,13,1,8,1,10,1,12,1,17,1,12,1,9,1,13,1,6,1,13,1,24,1,13,1,8,1,9,1,17,2,9,1,8,3,13,2,8,1,30,1,6,1,29,1,6,1,7,1,11,1,17,2,8,1,30,1,28,12,9,1,17,143,16,2,17,2,16,1,17,2,16,3,9,2,11,4,16,4,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,4,16,1,17,1,16,2,11,1,16,7,11,2,16,2,9,1,13,1,9,1,13,3,7,1,13,1,9,2,11,1,16,1,17,9,16,1,17,2,16,7,11,1,9,1,11,2,9,1,16,1,9,4,11,1,9,5,13,2,9,1,13,1,9,4,8,1,9,1,11,1,9,1,11,2,16,2,11,2,16,6,8,1,11,2,8,1,9,1,8,1,9,1,8,1,9,1,13,1,7,1,13,1,8,1,6,2,7,1,29,1,6,1,7,1,6,1,29,1,13,1,6,5,8,1,9,1,8,1,13,1,9,2,16,1,9,2,11,2,9,1,11,1,16,3,17,6,16,5,11,1,16,1,11,3,16,1,11,1,16,1,11,1,16,2,17,1,16,1,11,1,16,2,9,1,16,1,11,3,9,3,11,1,10,1,11,1,9,2,8,1,9,2,13,2,8,1,13,2,6,2,13,1,6,1,7,2,6,2,8,1,7,1,13,1,28,1,7,1,30,1,6,1,29,1,6,2,7,1,6,1,7,1,13,2,7,1,13,1,7,2,6,1,13,1,6,2,13,1,6,1,13,1,6,1,7,1,6,1,13,2,9,1,13,4,8,1,7,1,13,3,6,1,13,1,6,1,13,1,8,1,13,3,8,1,7,1,13,1,9,1,13,1,6,1,8,2,9,1,13,2,9,1,13,1,9,2,11,1,13,1,8,2,13,1,8,1,13,1,9,2,13,1,9,6,11,1,9,1,11,3,16,1,17,1,16,3,17,1,16,2,11,1,16,5,11,1,16,11,17,1,16,2,17,1,16,1,17,2,16,2,11,1,16,2,11,2,9,1,11,2,9,2,11,5,10,1,9,3,11,1,16,2,11,6,16,2,11,1,9,1,16,1,11,1,16,4,11,1,16,1,11,1,16,5,11,1,16,1,11,2,17,1,16,1,11,3,9,1,16,1,11,2,16,1,9,1,16,2,11,1,16,1,10,1,11,2,10,1,16,1,11,1,9,6,13,2,9,1,8,1,13,2,9,3,8,1,11,1,13,1,9,4,11,1,8,1,11,1,9,1,13,1,9,1,16,1,8,1,11,1,8,1,11,1,9,2,11,6,9,1,11,1,16,1,11,3,9,2,13,1,8,1,13,1,8,1,13,1,9,2,11,1,9,2,11,1,9,1,17,19,12,2,17,3,12,1,17,2,12,1,9,1,12,1,10,1,24,3,12,1,8,1,11,1,9,1,12,1,9,2,8,1,16,2,9,1,12,1,9,1,12,1,9,1,11,1,17,1,11,1,10,1,12,1,9,1,8,1,10,1,9,2,8,1,12,1,11,1,9,2,12,1,9,1,16,1,10,1,24,1,11,1,12,1,9,3,17,1,9,1,8,1,12,1,10,1,24,1,11,1,16,1,17,2,12,1,10,1,11,1,12,1,9,1,17,1,9,2,12,1,11,1,12,1,10,1,11,1,8,1,9,1,12,1,17,1,12,1,17,1,10,1,12,2,9,1,8,1,24,1,10,2,8,1,9,1,10,1,8,1,11,1,24,1,9,1,8,1,9,1,11,1,16,1,11,1,12,1,11,1,10,1,11,3,9,1,11,1,9,1,8,1,9,1,17,6,16,1,17,19,11,1,9,1,11,1,10,1,16,2,9,1,11,1,8,1,24,1,10,1,9,1,10,2,9,2,24,1,9,1,24,1,10,1,24,1,9,1,10,1,9,3,10,1,9,1,13,1,6,2,29,2,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,3,6,1,28,2,29,1,28,3,7,1,28,1,6,1,28,2,30,2,28,1,30,1,28,12,29,1,6,1,28,8,13,1,6,1,28,10,6,1,28,1,6,1,30,1,6,3,29,2,28,11,7,1,6,1,16,1,9,1,16,1,11,9,9,1,10,1,11,1,9,2,13,1,8,2,9,1,8,1,9,3,13,4,9,2,11,2,9,1,10,1,16,1,8,1,6,1,9,1,13,1,8,1,13,3,9,1,13,4,8,1,13,5,8,1,9,5,13,4,9,1,13,3,11,1,9,1,13,1,11,1,9,2,10,1,9,1,11,1,9,1,8,1,9,5,10,1,13,1,8,1,13,1,9,4,11,1,9,1,11,1,13,1,9,7,13,1,8,1,13,8,6,1,13,8,6,1,30,2,13,2,28,1,6,1,13,1,33,122,5,607,33,1,30,1,28,3,30,2,28,7,5,12,33,3,28,63,30,2,6,1,28,8,30,1,28,30,6,1,28,1,6,3,13,1,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,26,33,1,5,179,13,1,28,2,6,1,8,1,9,2,13,1,8,2,13,1,8,2,9,1,12,1,17,2,10,1,17,1,9,1,11,1,9,1,8,1,7,1,8,2,24,1,9,1,11,1,17,1,9,1,13,1,28,1,29,1,28,1,29,1,30,2,24,1,12,1,9,1,13,1,6,3,28,25,30,1,15,2,8,1,9,1,8,1,13,1,8,1,9,1,24,2,8,1,6,3,13,1,24,1,13,1,11,1,9,2,28,4,6,1,8,1,16,1,6,1,}, {7,1,8,1,13,1,8,1,14,1,24,1,28,1,6,1,30,4,28,1,30,1,11,1,9,1,24,1,13,2,6,1,7,1,6,1,24,1,9,1,6,1,28,34,29,1,30,1,6,1,30,1,24,1,9,1,12,1,9,1,11,1,17,2,16,1,24,2,6,1,13,1,7,1,13,1,9,1,10,2,11,1,9,1,12,2,17,2,12,1,9,1,7,1,24,1,10,1,15,1,24,1,8,1,7,1,6,1,29,1,15,1,14,1,17,1,12,4,10,1,24,1,8,2,12,1,16,1,11,1,24,1,16,1,10,1,16,1,17,1,16,1,9,1,13,1,30,1,6,1,29,1,28,1,29,1,28,6,30,1,28,1,30,2,29,1,30,1,6,1,30,1,6,1,29,1,8,1,13,1,8,1,24,2,10,1,12,2,17,1,10,1,8,1,24,1,8,2,9,1,13,1,8,1,15,1,17,2,12,1,13,1,24,1,13,1,24,1,6,1,29,2,6,2,13,1,8,1,9,1,17,2,9,1,29,1,28,11,30,1,9,1,17,29,16,1,17,116,16,1,17,2,16,1,11,1,16,3,11,2,16,1,11,1,16,6,17,6,16,4,17,1,16,4,17,1,16,2,11,1,16,8,11,1,16,4,9,2,13,2,7,1,9,1,13,1,9,3,16,6,17,1,16,1,17,1,16,2,17,2,16,8,11,1,16,1,9,1,11,1,9,1,16,1,11,1,9,1,13,1,11,1,13,1,9,1,13,1,9,1,11,1,9,1,11,1,8,1,9,3,13,1,9,3,11,1,9,2,11,1,9,1,11,1,16,1,11,1,16,4,9,1,17,1,9,5,10,1,9,2,13,1,8,1,13,1,7,1,13,2,6,1,29,1,6,2,30,2,6,1,29,1,6,1,30,1,6,1,30,1,13,1,6,1,9,1,8,1,13,3,9,2,11,1,9,2,11,1,9,2,16,3,17,7,9,3,16,1,11,1,9,1,11,1,17,1,11,2,9,1,11,1,16,3,9,1,11,1,16,2,9,1,11,1,17,1,16,1,11,2,16,1,9,1,11,2,9,4,13,1,9,1,13,1,9,1,13,1,8,1,13,4,29,1,6,1,13,1,6,1,13,1,6,1,13,1,29,1,13,3,6,1,7,1,13,3,6,1,7,1,9,1,13,4,30,1,13,2,6,2,13,1,6,1,13,1,7,1,6,2,29,1,7,1,13,3,8,2,7,2,9,1,13,1,7,1,6,2,13,7,7,1,30,1,9,1,8,1,13,1,7,1,13,3,10,1,13,3,9,1,13,2,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,9,7,16,1,11,2,17,8,16,4,11,1,16,5,11,1,16,3,11,1,16,1,17,1,16,6,17,1,16,1,11,2,16,3,11,1,16,3,11,1,9,1,16,1,11,1,9,2,16,1,11,1,16,2,11,1,9,3,16,1,9,1,16,1,11,1,9,1,11,5,16,1,11,1,16,1,17,1,16,3,17,2,16,8,9,1,16,1,10,1,11,1,16,2,11,1,16,1,11,2,16,1,9,1,11,2,16,1,9,5,13,1,11,1,9,1,8,1,9,1,11,1,9,2,10,1,13,1,9,3,8,1,9,1,11,1,9,5,16,1,9,4,10,1,9,1,16,1,9,1,10,3,11,3,9,1,8,1,9,1,17,1,16,2,17,2,16,3,11,1,10,1,9,2,11,1,16,1,9,2,11,2,9,2,10,1,11,1,9,1,8,1,11,1,8,1,16,1,11,1,17,15,11,1,17,6,16,1,9,1,11,6,17,1,12,1,17,1,9,1,12,2,8,1,11,1,9,2,8,1,17,2,9,1,17,1,9,1,17,1,12,1,17,1,10,1,17,2,12,2,11,1,12,1,9,1,12,1,17,3,11,1,17,1,16,1,17,1,11,3,17,1,11,1,17,3,12,1,11,2,16,1,17,1,12,1,17,2,11,2,17,2,9,1,10,1,9,1,24,1,17,1,8,1,9,1,17,1,9,1,17,1,9,1,17,1,16,1,9,1,12,1,11,1,24,1,9,1,10,2,9,1,12,1,9,1,24,1,9,1,24,1,10,1,12,1,8,1,11,1,17,3,11,1,16,1,11,1,17,2,16,1,17,32,12,2,9,1,10,2,16,1,9,1,16,1,10,1,11,1,17,1,24,1,9,1,10,1,12,1,9,1,12,1,9,1,10,1,9,2,11,1,10,1,11,1,9,1,10,1,9,1,8,1,9,1,13,3,30,1,6,1,30,1,6,1,28,1,30,1,28,1,29,1,28,9,6,1,30,1,28,1,29,2,30,1,28,1,30,1,6,1,29,1,28,1,29,1,28,2,30,1,28,10,30,1,28,12,30,2,6,1,30,1,28,10,30,2,28,1,29,1,13,1,7,1,29,1,6,3,29,2,28,6,7,1,11,3,9,1,11,1,10,2,9,1,11,1,16,1,11,2,9,1,10,1,9,3,13,2,8,1,9,1,13,1,11,1,13,1,9,2,8,1,9,1,13,2,9,2,10,1,11,1,9,5,13,1,8,1,9,1,8,2,9,1,13,3,11,1,9,1,13,2,8,1,13,2,9,2,11,2,9,3,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,7,11,1,13,1,9,1,8,1,9,3,11,1,10,1,13,1,9,1,13,1,9,4,16,1,10,1,9,2,13,1,9,2,13,2,9,1,13,1,9,3,13,7,6,1,7,1,13,2,30,1,13,2,6,4,30,2,7,1,6,2,13,1,33,124,5,606,30,1,28,11,5,20,28,54,30,1,28,6,30,1,28,1,30,1,28,43,30,2,28,1,30,1,28,2,6,1,28,2,30,2,28,27,5,179,13,1,28,2,6,1,13,1,8,3,9,1,13,2,6,1,8,1,9,2,16,1,11,1,10,1,24,1,9,1,16,1,12,1,13,3,8,2,24,1,9,1,17,1,12,1,13,1,30,1,28,1,6,1,28,1,30,1,7,1,10,3,24,1,6,3,28,26,15,1,9,1,10,1,9,1,8,1,10,1,8,2,12,1,24,1,8,1,6,1,30,2,7,2,9,1,17,1,12,1,8,1,28,4,30,1,11,1,9,1,13,1,}, {13,3,9,2,8,1,7,1,28,1,30,2,6,1,28,1,30,1,28,1,9,1,14,1,9,1,8,1,6,1,13,3,24,1,12,1,13,1,30,1,28,21,30,1,28,12,6,1,28,1,7,1,13,1,10,1,11,1,12,1,17,3,11,1,8,1,12,1,13,2,7,1,6,1,8,1,17,1,10,1,12,1,24,1,12,1,9,1,17,1,10,1,17,1,9,1,13,2,14,2,8,1,7,1,24,1,8,1,13,1,24,1,14,1,17,2,11,1,13,1,16,1,8,1,12,1,8,1,24,1,16,1,17,1,11,1,9,1,11,1,10,1,16,2,14,1,16,1,8,1,13,1,30,1,6,1,29,1,28,1,30,3,28,1,30,2,29,1,28,1,30,3,29,1,30,1,6,2,7,1,6,1,8,3,12,3,17,2,16,1,9,1,8,1,24,1,13,1,24,1,13,1,8,1,24,1,17,3,24,1,8,1,13,1,8,1,7,1,30,1,29,1,30,1,6,1,13,2,12,1,17,2,13,1,6,1,28,10,30,1,28,1,9,1,17,142,16,1,17,3,16,1,17,1,16,1,11,1,9,1,16,1,11,3,16,1,11,1,16,2,11,1,16,3,17,4,16,1,17,1,16,3,11,1,16,2,11,1,16,1,11,1,16,1,9,2,11,1,16,4,11,3,17,1,16,1,11,2,9,2,11,2,9,1,13,3,9,2,11,4,16,1,9,1,16,2,11,1,16,1,17,1,16,4,17,1,16,1,17,1,16,2,17,1,16,3,11,1,16,2,11,1,16,1,9,1,11,1,9,2,11,1,13,1,11,1,9,3,13,1,9,1,13,1,9,4,13,1,8,1,9,3,8,1,9,2,11,2,16,1,11,1,16,5,8,1,11,1,9,5,13,1,8,1,7,1,13,2,6,2,29,2,30,5,29,1,6,1,30,1,7,1,13,3,8,1,13,4,9,3,13,2,11,1,9,2,11,1,16,4,17,4,16,1,11,1,9,2,11,2,16,1,11,2,16,2,11,2,16,1,11,1,16,2,11,1,16,1,11,1,9,1,11,2,16,3,11,5,9,1,10,1,9,1,8,1,9,2,8,3,13,1,8,1,7,1,6,1,13,1,30,1,7,1,6,3,7,1,13,1,6,1,29,1,13,2,6,1,13,1,8,1,13,1,7,1,6,3,13,1,29,1,7,1,13,2,6,1,13,1,6,1,13,3,6,2,29,1,13,4,7,1,6,1,7,1,8,1,7,1,8,1,13,3,6,1,13,1,6,1,13,3,6,1,13,1,30,1,13,4,9,1,6,1,13,7,9,4,8,2,9,2,13,1,8,4,9,1,10,1,9,5,11,3,9,1,17,1,16,2,17,3,16,14,11,1,17,3,16,1,17,1,16,1,17,1,16,4,11,1,16,6,11,2,9,1,11,4,16,2,11,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,3,16,3,11,1,16,1,11,3,17,2,11,1,16,1,17,1,16,3,17,2,16,2,17,1,16,1,9,1,11,1,16,1,11,2,16,2,11,1,16,1,11,7,9,1,16,1,9,1,11,2,9,1,11,1,10,1,11,2,9,1,11,2,9,1,10,1,9,11,11,2,9,1,11,3,16,1,9,1,11,2,16,2,9,1,11,1,9,1,11,1,9,2,11,1,17,1,11,2,17,2,9,1,16,1,11,2,10,1,16,1,11,2,17,1,9,1,11,2,9,1,13,1,9,1,11,8,16,1,17,23,16,1,17,2,16,1,17,1,12,1,11,1,10,1,8,2,11,1,17,1,16,1,9,1,17,1,12,1,17,1,9,1,11,1,17,1,11,1,12,1,10,1,9,2,12,1,17,2,9,1,11,2,8,1,17,1,9,2,11,1,17,1,12,2,11,2,17,1,11,1,16,2,17,3,11,2,17,2,11,1,17,2,16,1,17,1,11,1,12,1,17,3,10,1,17,1,12,1,17,1,11,1,17,1,12,1,10,1,9,1,17,2,16,1,9,1,13,1,9,5,10,1,9,1,10,1,17,1,9,2,10,1,17,3,11,1,17,43,11,1,9,1,10,1,11,1,9,1,8,1,10,1,12,1,11,1,17,1,10,1,9,1,12,3,10,1,9,3,11,2,9,3,12,1,7,1,13,1,7,1,6,3,28,1,29,1,30,1,28,9,30,1,29,1,8,1,28,1,30,2,6,1,29,1,30,3,28,1,29,1,28,3,30,1,6,1,29,1,28,3,30,1,28,17,30,1,7,1,6,1,7,1,6,1,28,12,30,1,28,1,29,1,6,1,13,2,8,1,7,1,13,1,7,1,30,1,28,1,6,1,28,1,6,1,9,1,16,1,9,1,11,1,9,1,11,3,9,4,11,1,9,3,11,1,8,1,13,5,9,1,6,1,8,1,13,1,6,3,8,1,13,1,9,1,13,1,11,1,9,4,13,2,8,1,9,3,7,1,9,1,8,1,9,1,10,1,9,2,11,1,8,1,9,1,8,1,9,1,11,2,9,2,11,1,9,2,11,1,8,1,9,1,8,1,13,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,2,13,1,9,3,13,2,8,1,13,1,9,1,13,3,9,2,11,1,9,2,11,2,13,1,11,1,9,2,11,1,9,10,13,1,8,1,13,2,6,1,13,2,7,1,13,1,6,1,13,3,7,1,13,1,30,1,13,1,28,1,6,1,13,2,5,1,33,124,5,605,33,1,28,10,5,25,33,1,28,61,30,2,28,10,30,1,28,27,30,1,28,1,30,1,6,2,28,2,6,2,30,2,28,1,30,1,28,1,30,2,28,25,33,1,5,176,13,1,28,2,13,1,8,1,9,2,24,1,8,3,6,1,8,1,24,1,11,1,16,2,9,1,8,1,12,1,16,1,8,1,13,1,7,1,8,2,12,1,8,1,10,1,16,1,24,1,13,1,7,1,29,1,13,1,30,1,29,1,6,1,24,1,12,1,10,1,29,1,7,1,29,1,6,1,30,1,28,24,30,1,14,1,10,1,9,2,8,2,11,1,10,2,24,1,6,1,7,1,6,1,29,1,6,2,24,1,10,1,17,1,13,1,28,4,30,1,24,1,9,1,6,1,}, {6,1,13,2,10,1,14,1,15,1,13,1,28,2,29,1,30,1,6,1,30,1,29,1,15,2,24,1,7,1,13,1,7,1,13,2,8,1,24,2,28,34,30,2,28,1,29,1,13,1,12,1,24,1,12,1,17,3,10,1,8,2,6,1,30,1,13,3,17,1,12,2,9,2,10,1,17,1,16,1,9,1,8,1,13,1,6,1,10,1,14,1,8,1,6,1,13,1,6,2,8,1,17,2,11,1,16,1,12,1,24,1,12,1,8,1,24,1,9,1,11,1,16,1,8,1,16,1,17,1,16,1,11,1,17,2,14,1,8,1,6,2,29,2,6,1,29,1,30,2,28,1,6,1,29,2,6,1,28,1,6,2,30,1,7,1,6,3,13,1,6,1,9,1,15,2,24,1,9,1,17,4,13,1,8,1,7,2,13,1,6,1,9,1,17,3,8,2,10,1,24,1,6,2,30,2,29,1,13,2,9,2,16,1,8,1,6,1,28,12,13,1,17,141,16,1,17,1,16,1,17,1,16,2,11,1,16,1,11,1,9,1,16,1,11,1,16,1,11,2,16,2,17,1,16,1,17,4,16,11,9,2,16,1,9,1,16,1,11,1,16,1,9,1,11,1,16,1,9,1,11,2,16,2,17,1,16,1,11,1,16,1,11,1,16,2,9,1,11,1,9,3,11,3,16,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,11,2,16,2,11,1,17,1,16,6,17,1,16,5,11,3,9,3,13,1,11,1,9,9,13,1,9,2,10,1,9,2,13,1,9,2,16,1,10,1,11,2,16,5,9,3,13,1,8,2,13,4,6,1,13,1,7,1,30,2,13,1,30,2,7,1,6,1,29,1,7,1,29,1,13,3,8,1,13,1,8,2,13,1,8,1,13,2,9,1,13,1,9,2,13,1,9,2,11,3,16,1,17,5,16,2,11,13,9,1,17,1,11,1,16,2,17,1,11,1,17,1,16,3,17,1,16,2,11,1,16,1,11,1,9,4,8,2,9,1,13,1,6,1,13,4,8,1,13,2,6,1,13,1,6,4,13,1,6,2,29,1,28,1,6,1,7,1,13,1,6,1,8,2,13,1,6,1,7,1,13,1,6,2,13,1,6,1,7,2,6,3,7,1,6,1,30,1,13,1,6,1,8,1,6,2,13,5,6,1,8,1,6,1,8,1,6,4,13,1,9,1,6,1,13,1,6,1,7,1,6,1,8,2,13,3,8,2,13,1,9,1,13,2,9,1,8,1,9,2,8,1,9,1,8,1,9,4,11,1,10,1,9,1,13,1,9,1,11,1,9,3,16,2,17,5,16,1,9,1,11,1,16,10,17,2,16,1,17,1,16,1,17,2,16,1,17,1,16,6,11,1,16,3,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,3,9,1,10,1,9,1,11,1,9,1,11,2,9,1,16,1,11,2,16,1,11,1,16,1,17,1,16,1,11,1,16,2,11,1,16,1,11,1,16,5,17,1,11,2,16,2,11,1,16,2,11,1,16,3,11,1,16,5,11,1,16,2,11,1,9,1,16,4,9,1,16,1,11,1,9,1,11,3,8,1,9,2,8,1,13,1,9,1,10,1,9,5,8,1,11,1,9,1,11,1,9,3,10,1,11,1,9,1,10,1,17,1,16,1,11,1,9,1,10,1,11,2,9,1,16,1,9,1,16,1,9,2,11,1,16,1,9,1,11,1,10,1,11,2,9,1,11,5,16,2,11,5,10,1,16,1,11,4,9,1,17,34,12,1,16,1,17,7,12,1,11,1,9,1,10,1,11,1,12,1,11,1,17,3,16,1,17,1,16,1,17,1,11,1,16,2,17,1,16,1,17,13,16,1,17,2,16,1,11,1,16,4,9,2,17,1,12,1,16,3,12,1,17,2,11,2,9,1,17,2,16,1,17,27,16,2,17,29,9,2,11,1,16,1,10,1,16,3,10,1,16,1,12,2,11,1,16,1,17,1,16,1,11,1,17,5,11,1,8,1,6,1,13,1,6,3,29,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,29,1,28,1,6,2,29,1,30,1,28,1,30,1,28,2,6,1,28,1,6,2,28,2,30,1,28,21,30,1,6,1,28,1,30,1,28,13,30,1,6,2,29,1,6,1,7,1,8,3,7,1,9,2,11,1,9,1,11,2,9,3,11,1,9,3,11,1,9,3,8,3,13,2,8,2,13,4,8,1,13,3,6,1,8,1,13,1,9,1,11,1,9,2,11,3,8,1,9,1,13,1,9,6,11,1,9,1,11,1,9,1,11,1,9,3,16,1,9,2,16,1,9,1,11,1,10,1,9,7,11,1,9,1,11,3,9,5,13,2,9,1,13,1,9,4,8,1,13,1,9,4,11,1,9,1,11,1,9,1,11,1,13,1,9,8,13,1,9,5,13,10,6,1,30,1,13,3,6,1,13,4,33,125,5,605,13,1,28,8,5,28,33,1,30,1,28,59,6,1,28,42,6,1,28,1,6,2,30,3,6,1,30,1,28,1,6,1,30,2,28,2,30,1,28,21,30,1,28,1,33,1,5,174,30,1,28,1,30,1,13,1,8,1,9,3,8,1,13,3,8,2,11,1,16,1,11,1,13,1,9,1,8,1,24,1,13,1,6,1,8,1,24,2,9,1,24,1,10,1,17,1,8,1,29,1,30,1,29,1,6,3,30,1,10,1,17,1,9,1,30,1,13,1,6,1,28,1,30,1,28,24,6,1,14,1,10,1,9,2,24,1,13,1,17,1,9,1,8,1,9,1,13,1,29,2,13,2,8,1,9,1,8,1,11,1,6,1,28,4,30,1,16,2,29,1,}, {13,3,15,3,6,3,28,1,29,1,30,1,28,1,6,1,8,1,15,1,9,1,13,1,6,2,8,1,6,1,9,1,15,1,8,1,28,36,29,1,30,1,13,1,24,1,10,1,9,1,17,2,14,1,11,1,8,1,13,2,7,1,13,1,29,1,8,1,17,1,11,1,12,1,9,2,10,1,17,1,9,1,17,1,8,1,13,1,6,1,17,1,12,1,8,1,13,1,8,1,13,1,6,1,9,1,17,3,11,1,17,1,9,1,10,1,9,1,8,1,9,1,17,3,16,1,17,2,9,1,16,1,17,1,11,1,9,1,6,1,8,1,30,1,7,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,7,1,30,1,6,1,7,1,6,1,7,1,29,1,6,1,7,1,13,1,8,1,24,1,6,1,15,1,24,1,8,1,15,1,17,1,16,2,9,1,8,2,13,1,6,1,7,1,24,1,17,2,12,1,9,4,30,2,6,1,28,1,13,1,8,1,7,1,11,1,9,2,24,1,29,1,28,7,29,1,28,3,30,1,9,1,17,139,16,1,17,2,16,2,17,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,2,16,3,17,6,16,3,17,1,11,1,16,1,9,1,11,2,16,2,11,1,16,1,11,2,16,1,9,1,11,1,16,2,11,2,9,1,17,1,16,7,11,3,16,2,11,1,16,1,11,1,16,3,11,1,16,1,6,1,13,1,9,2,13,1,9,1,16,1,11,4,16,5,17,2,16,4,11,1,16,1,11,2,9,1,11,2,9,3,13,1,9,4,13,1,9,3,13,1,9,1,8,1,9,2,8,1,9,1,13,1,9,1,11,1,9,1,16,5,11,2,8,1,9,1,13,1,9,2,13,1,8,1,13,1,6,1,13,1,6,1,29,1,30,1,29,2,6,1,28,1,6,1,30,1,29,1,28,1,30,1,13,1,6,1,9,1,13,4,6,1,30,1,13,1,9,1,13,1,9,3,13,1,9,5,11,1,16,2,17,5,16,1,9,1,13,3,9,1,16,2,11,1,16,1,11,3,10,1,16,1,11,1,10,1,11,1,16,1,11,1,17,2,16,1,11,1,16,2,11,1,17,1,11,1,16,1,11,3,9,3,8,4,13,2,8,1,29,1,13,4,7,1,29,1,13,1,6,1,30,1,6,1,30,1,7,1,6,3,29,1,7,2,29,1,30,1,7,1,30,1,13,3,7,1,13,1,6,1,8,1,6,1,7,1,6,2,7,1,13,2,7,2,9,1,13,2,6,2,13,1,6,1,13,1,29,1,8,1,30,1,6,1,13,1,7,1,29,1,7,1,6,1,13,1,7,1,13,3,6,1,13,1,9,1,13,1,8,1,7,1,13,1,8,1,9,2,8,2,9,1,11,1,9,2,13,1,9,2,8,3,9,2,11,1,9,1,11,1,8,1,10,1,9,2,11,1,9,2,16,1,17,1,16,2,17,1,16,1,17,1,16,4,17,3,16,3,17,1,16,1,17,2,16,1,17,2,16,1,17,4,16,6,9,1,16,1,11,1,16,7,11,1,17,1,11,1,16,4,11,1,16,1,11,1,16,5,17,1,16,3,11,1,16,5,11,1,17,1,16,2,17,4,16,3,17,1,11,1,16,7,11,1,16,2,11,1,16,1,11,1,16,1,9,1,11,1,16,1,9,1,11,3,10,1,9,3,11,1,9,1,11,1,10,1,9,1,10,2,9,3,8,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,11,1,10,2,9,1,17,1,16,1,17,2,11,2,9,1,11,2,16,3,17,2,11,1,17,1,11,1,16,1,11,1,10,1,11,1,9,2,16,1,10,1,11,2,9,1,10,1,16,1,9,1,11,3,16,1,9,1,16,1,11,2,9,1,11,1,16,4,11,2,16,2,11,1,17,1,16,1,17,35,11,1,17,3,16,1,17,25,16,1,17,45,16,1,17,1,16,1,17,4,16,1,17,1,16,1,17,28,9,1,16,1,17,2,11,1,12,1,16,2,17,3,16,1,17,7,16,1,11,1,8,1,9,1,13,1,7,1,6,3,29,2,6,1,28,1,30,3,6,1,28,1,30,1,29,2,30,1,7,1,30,3,7,1,29,1,7,1,6,1,29,1,30,1,28,1,30,1,28,1,29,1,30,1,28,1,30,1,28,1,6,1,30,2,28,9,30,1,28,9,6,1,13,1,6,1,29,1,28,1,30,1,29,1,28,10,29,1,6,1,29,1,7,1,13,2,8,1,13,1,10,1,17,1,9,1,10,1,9,1,16,1,11,4,16,1,9,3,11,1,10,1,9,1,8,3,13,2,9,1,13,4,7,1,13,1,9,1,13,1,6,1,13,2,28,1,13,2,9,5,11,1,13,1,11,1,9,1,8,1,9,4,11,1,9,3,8,1,9,1,11,3,9,2,11,3,9,1,13,1,11,1,9,5,13,1,9,1,11,1,9,2,10,1,8,1,9,4,13,2,9,1,13,2,9,1,8,2,9,1,11,1,9,1,8,1,9,4,11,1,9,3,10,1,9,5,13,1,9,1,13,1,11,1,13,1,9,1,13,11,7,1,9,1,13,8,9,1,13,1,33,125,5,605,28,6,30,1,5,31,6,1,28,61,30,3,28,34,30,1,28,3,30,1,28,2,6,3,30,1,6,1,28,1,6,1,28,1,30,1,28,27,33,1,5,173,28,2,30,1,8,1,9,2,10,1,13,1,8,1,13,2,6,1,8,1,9,1,17,1,16,1,17,1,11,1,9,1,16,1,24,1,8,1,13,2,7,1,9,1,10,1,9,1,8,1,17,1,9,1,13,1,6,1,30,1,6,2,7,1,13,1,9,1,10,1,9,1,6,1,7,1,13,1,28,26,6,1,14,1,11,2,8,3,17,1,11,1,9,1,6,2,13,1,28,1,6,2,8,3,17,1,13,1,28,4,29,1,17,1,10,1,30,1,}, {24,1,6,1,24,1,15,1,14,1,15,1,13,1,28,1,30,2,6,1,28,1,30,1,28,1,13,1,9,2,30,1,6,1,13,1,6,3,15,1,13,1,28,19,30,1,28,3,30,1,28,9,30,2,28,2,6,1,8,2,17,2,12,1,17,2,12,1,24,1,13,2,6,1,13,1,6,1,7,1,17,1,12,1,17,1,9,1,11,1,12,1,10,1,12,1,15,1,8,2,13,1,12,1,15,1,13,2,8,1,7,1,6,1,9,1,17,3,12,1,9,1,12,1,9,1,16,1,8,1,9,1,16,1,17,8,12,1,10,1,8,1,24,1,13,1,7,1,6,5,30,1,29,2,7,1,6,2,13,1,6,2,8,1,6,2,7,1,29,1,6,2,8,1,24,2,9,1,17,2,16,1,13,1,24,1,13,1,6,1,13,2,8,1,17,3,16,1,24,2,8,2,6,1,29,1,6,2,8,2,10,1,11,1,17,1,8,1,28,2,30,1,28,6,30,1,28,2,6,1,17,134,16,1,17,2,16,1,17,1,16,3,11,1,16,1,11,1,16,3,10,1,16,1,9,1,16,1,11,1,16,4,17,2,16,1,17,1,16,4,11,1,16,1,9,1,11,4,16,1,9,1,11,1,16,1,11,1,16,1,11,3,9,1,16,5,11,2,16,1,11,1,16,4,11,2,16,9,11,1,16,1,11,1,13,2,6,1,13,2,9,1,11,1,9,3,11,2,16,9,11,4,9,1,11,1,9,1,11,1,9,2,13,1,9,3,13,2,9,1,11,1,9,6,13,1,11,1,13,1,9,1,13,1,11,1,16,2,11,1,16,1,11,2,13,1,9,1,13,1,9,2,8,2,13,3,6,1,7,1,13,1,29,1,6,5,30,2,6,1,13,3,7,1,13,1,6,1,9,2,6,1,13,1,9,3,13,1,9,2,13,2,9,5,16,2,17,5,16,1,9,1,13,1,6,2,13,1,11,4,9,1,11,1,16,3,9,1,11,1,10,1,16,1,10,1,11,1,16,1,17,1,16,1,17,1,11,1,16,4,11,1,17,1,9,2,11,1,9,1,11,1,9,1,8,1,9,1,11,1,13,2,8,2,13,2,6,2,13,1,6,1,13,1,6,2,7,1,28,1,6,1,7,1,6,1,30,1,13,1,6,1,13,1,29,1,13,1,6,2,13,1,7,1,13,1,29,1,13,3,6,1,13,2,29,1,13,1,30,1,6,1,13,1,6,1,13,2,6,2,13,1,28,1,13,1,6,1,13,2,6,1,13,4,9,1,13,2,7,1,6,1,13,1,8,1,13,2,6,1,8,1,13,1,8,3,9,1,8,1,10,1,9,3,11,2,8,1,9,1,13,2,9,1,8,1,13,1,11,1,9,1,11,1,9,2,16,1,9,2,17,1,16,1,11,2,17,4,16,2,17,2,16,1,17,1,16,1,17,1,16,1,17,8,16,1,17,1,16,1,17,3,16,1,17,1,16,2,17,1,16,2,17,1,16,6,17,1,16,1,17,1,16,1,11,1,16,1,11,1,16,3,11,1,16,1,10,1,16,4,17,1,11,1,16,1,11,1,16,1,17,1,11,1,16,1,17,2,16,4,17,1,16,1,17,1,16,2,11,1,17,2,16,1,17,1,16,6,10,1,16,5,11,2,16,1,11,1,16,1,9,1,16,3,9,1,11,1,9,1,11,2,9,3,11,1,9,2,11,1,9,3,10,1,9,1,11,1,16,1,11,2,16,3,11,2,16,2,17,1,11,3,16,1,11,2,16,1,11,1,16,3,11,1,17,1,16,1,11,1,16,1,11,4,16,3,10,1,11,1,9,1,10,1,9,2,11,1,10,1,11,2,9,1,11,2,9,1,13,1,11,4,16,1,11,4,9,2,17,115,16,1,17,1,16,1,17,1,11,2,16,1,11,1,17,12,16,1,17,18,16,1,11,1,17,1,11,1,9,1,17,12,9,1,13,1,8,2,6,1,29,1,13,1,30,1,6,3,29,1,7,1,29,1,6,2,7,1,30,1,13,1,6,1,29,1,6,2,28,1,30,1,28,3,30,1,28,4,29,1,30,2,28,20,6,1,28,4,13,3,28,4,29,1,30,2,28,5,30,1,28,1,6,1,30,1,28,1,29,1,9,1,13,1,12,1,17,1,9,5,13,1,11,2,9,1,11,1,9,3,8,1,9,1,13,5,6,2,9,1,13,2,6,1,13,2,30,1,13,1,6,2,13,1,6,1,13,1,11,1,9,2,8,1,9,1,8,1,9,2,8,1,9,4,13,2,11,1,9,1,11,1,9,5,10,3,11,1,9,1,11,2,9,1,8,1,11,1,9,2,16,1,9,1,8,1,11,2,9,1,11,1,9,2,13,1,9,6,8,1,13,1,9,2,8,1,9,1,13,1,10,2,13,1,11,1,9,1,16,1,10,1,9,2,13,1,9,1,11,2,9,2,13,11,9,1,13,2,6,2,13,1,6,1,13,4,7,1,13,1,6,2,13,4,33,125,5,604,28,6,5,34,28,83,6,1,28,18,30,2,28,1,6,1,30,1,6,1,28,1,13,1,28,1,6,1,28,2,6,1,30,2,28,22,6,1,30,1,33,1,5,172,28,3,6,1,9,3,8,1,24,1,8,1,13,1,6,1,13,1,8,1,17,2,16,1,10,1,13,1,17,1,12,1,8,1,13,1,7,1,8,1,24,1,12,2,10,1,15,1,10,1,8,1,6,1,30,1,13,1,7,2,13,1,9,1,17,1,13,1,7,1,6,2,28,26,13,1,15,1,12,1,17,1,13,1,8,1,9,1,17,1,9,1,8,1,6,1,13,1,28,1,6,1,30,1,13,1,9,2,13,1,17,1,30,1,28,4,30,1,9,1,8,1,28,1,}, {6,2,9,1,15,1,24,1,15,1,13,1,28,1,30,2,6,1,29,1,28,1,30,1,10,1,9,1,11,1,6,1,29,1,30,1,6,1,13,2,10,1,8,1,28,30,30,1,28,5,30,1,6,1,13,1,24,1,12,1,11,1,17,2,14,1,8,1,7,1,13,3,6,1,7,1,13,1,17,2,9,1,12,1,9,2,12,1,17,1,14,1,9,1,6,1,13,1,15,1,12,1,8,3,7,1,28,1,8,1,17,7,8,2,12,1,17,4,11,1,17,5,9,3,8,2,6,1,13,1,6,2,13,1,6,2,30,1,6,2,29,1,7,1,30,1,6,2,7,1,6,3,30,1,13,1,24,1,8,2,12,1,17,2,12,1,8,2,6,1,13,2,7,1,8,1,17,4,9,1,10,1,9,1,8,1,6,1,29,1,13,1,29,1,8,1,24,2,11,1,10,1,17,1,28,8,30,1,28,3,6,1,8,1,17,132,16,5,17,1,16,1,17,1,9,3,16,1,9,3,11,3,16,1,11,1,16,2,17,5,16,1,17,1,16,1,11,3,9,3,16,1,11,2,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,3,11,1,16,10,11,1,16,1,11,1,9,1,16,2,11,1,16,7,17,1,16,1,11,1,9,1,13,5,9,1,13,1,11,6,16,3,11,1,16,4,9,1,16,1,9,1,11,1,9,1,11,1,9,8,13,1,9,1,13,2,9,1,8,1,9,1,13,1,9,1,13,1,9,3,16,1,11,1,16,3,11,1,9,4,13,5,7,1,6,1,7,1,6,3,29,1,6,1,29,1,6,1,29,1,6,1,13,1,8,1,13,2,6,1,13,8,9,2,13,1,9,1,13,1,9,2,13,1,9,3,16,2,17,6,16,1,9,1,13,2,6,1,13,1,11,1,9,1,11,2,16,2,11,3,9,1,16,2,10,1,11,1,16,2,11,2,16,3,11,2,17,1,16,3,11,3,16,1,9,2,11,2,8,1,9,2,13,2,9,1,6,1,13,1,6,1,29,1,6,1,30,1,6,2,7,1,6,1,30,1,6,1,13,2,30,1,13,1,28,1,13,2,30,1,13,1,6,1,7,1,8,1,13,1,6,2,7,3,6,2,13,1,7,1,13,3,6,1,29,1,13,2,6,1,13,2,7,1,13,1,7,1,13,1,7,1,6,1,13,2,6,2,7,1,13,1,6,1,13,4,6,1,8,1,13,2,8,1,13,2,9,1,11,1,9,2,13,1,9,1,11,1,9,3,13,1,9,2,10,1,9,2,16,1,9,1,11,1,9,2,11,1,9,1,11,2,17,6,16,2,17,1,16,2,17,10,16,1,17,3,16,1,17,3,16,2,17,1,16,1,17,3,16,1,17,1,16,1,11,1,16,5,11,2,16,3,11,1,16,11,11,1,17,1,16,4,17,3,16,2,17,1,16,2,17,1,16,5,11,2,16,4,11,1,16,2,11,1,9,1,11,1,16,1,9,1,16,1,11,9,9,1,16,1,9,3,16,1,9,1,11,5,16,2,11,1,17,1,9,1,16,1,11,1,16,1,11,2,16,1,17,1,11,1,17,2,16,2,11,1,17,1,11,1,16,1,17,1,11,2,16,1,17,1,9,1,17,1,11,3,16,2,11,2,16,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,8,1,16,1,9,1,11,1,16,1,10,2,9,3,13,1,9,5,11,1,9,2,10,1,9,1,16,1,11,1,10,1,17,102,16,1,17,5,16,1,17,2,16,1,11,1,17,2,11,1,16,2,11,2,16,2,17,8,16,1,11,2,17,16,16,2,17,17,12,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,30,1,6,2,29,1,30,2,6,4,13,1,6,3,30,1,29,2,28,2,30,2,28,8,30,1,28,4,30,1,28,10,6,1,29,1,6,2,28,2,30,1,28,1,29,1,6,1,24,1,13,1,6,1,29,2,13,1,30,1,28,2,30,1,28,1,30,5,28,2,8,1,10,1,17,1,16,1,9,9,8,1,9,1,13,1,8,2,9,1,8,1,9,1,13,4,8,1,13,2,9,1,13,1,6,1,13,4,6,1,13,2,9,2,13,1,9,1,11,1,9,1,8,1,9,1,8,2,9,1,13,1,9,6,11,1,9,1,11,1,9,1,11,1,9,3,11,1,10,1,9,1,16,1,9,4,11,1,9,4,11,1,9,2,11,1,10,1,9,2,11,1,9,1,10,1,9,4,13,1,11,3,9,1,13,1,11,1,9,2,11,2,9,1,11,2,9,3,11,1,9,2,13,4,9,1,13,1,9,2,13,2,9,1,13,9,6,1,13,3,6,1,13,2,7,1,6,1,13,3,33,125,5,604,28,4,6,1,5,35,28,55,30,1,28,7,30,1,28,12,30,2,28,1,30,1,13,1,6,1,13,2,33,1,6,2,28,1,30,1,28,15,6,2,13,2,6,1,30,2,28,2,6,1,30,1,28,20,33,1,5,177,28,2,13,2,11,1,9,1,24,1,9,1,8,1,9,1,13,2,6,1,9,1,16,2,17,1,9,1,10,1,9,3,6,1,13,1,24,3,10,1,12,1,15,1,9,1,13,1,6,1,7,1,6,1,13,1,7,1,9,3,8,1,30,1,29,1,28,27,10,1,14,1,12,1,9,1,24,2,8,1,17,1,12,1,24,1,6,1,7,1,29,2,30,1,6,1,7,1,24,1,9,1,8,1,13,1,28,5,17,1,8,1,30,1,}, {30,1,6,1,8,1,10,1,14,1,9,1,13,1,30,2,28,2,29,2,28,1,9,1,24,1,8,1,6,2,30,3,13,1,9,1,24,1,28,36,29,2,13,1,9,1,10,1,17,3,14,1,8,1,9,1,13,2,7,1,13,1,6,1,8,1,17,2,24,1,9,1,12,1,17,1,12,1,16,1,14,1,8,1,7,1,8,1,10,1,11,1,13,1,8,2,13,1,28,1,9,1,17,7,9,2,11,1,17,11,9,1,13,1,24,1,8,1,9,1,13,1,7,1,6,1,29,1,6,1,7,1,6,1,30,1,29,1,6,2,13,1,8,1,6,1,13,1,7,1,13,1,6,1,24,1,8,1,12,1,24,2,15,1,14,2,24,1,13,3,7,1,13,2,8,1,17,2,12,1,17,1,9,1,12,1,9,1,13,1,6,2,7,2,8,1,13,1,10,1,12,1,17,1,15,1,6,1,28,3,30,1,28,5,30,2,28,1,13,1,17,125,16,1,17,2,16,1,17,1,16,1,17,2,16,5,11,3,9,4,11,3,16,1,9,1,17,1,16,1,17,1,16,1,17,4,16,2,17,1,9,1,16,1,9,2,11,1,8,1,11,2,9,1,11,2,9,1,11,1,9,2,11,2,16,2,11,2,16,6,11,1,16,1,11,1,16,2,11,3,16,1,11,4,16,3,11,1,17,1,16,5,9,1,13,2,6,1,13,2,9,2,10,1,9,1,10,1,11,2,16,3,11,1,16,1,11,2,16,1,11,1,16,2,11,2,9,1,11,1,9,7,13,2,9,3,13,2,9,1,13,1,9,1,8,1,13,1,11,2,16,2,9,2,13,1,9,1,8,1,9,2,13,4,7,2,6,2,30,1,6,1,30,1,6,2,30,2,13,1,8,1,9,1,13,1,8,1,13,2,6,1,13,6,9,1,13,1,9,6,11,1,9,1,11,1,9,1,16,2,17,2,16,2,17,2,9,1,13,4,9,1,16,3,11,2,16,1,11,1,16,1,10,1,16,1,11,1,16,2,10,1,17,2,11,1,17,1,16,3,11,1,16,3,11,1,16,1,11,2,10,1,9,1,11,1,9,1,11,1,9,4,13,1,8,1,13,3,7,1,13,3,29,1,6,8,30,1,13,2,6,4,7,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,2,29,2,8,1,6,1,29,1,8,1,7,1,6,1,29,2,8,1,6,2,8,1,13,1,7,1,13,2,8,1,13,2,6,1,8,1,13,1,7,1,13,1,9,1,13,3,8,2,9,3,8,1,9,1,11,1,9,3,13,1,11,1,9,1,13,1,8,1,9,1,10,1,16,1,9,1,11,2,8,1,9,1,11,1,10,1,11,1,9,1,11,1,16,1,17,7,16,1,17,1,16,1,17,7,16,1,17,6,16,1,17,2,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,3,11,1,17,1,16,2,11,1,16,4,9,1,16,1,11,1,10,1,16,4,17,1,16,2,17,1,16,2,17,1,16,2,17,1,11,1,16,2,17,1,16,3,11,2,9,1,16,2,17,1,16,3,11,2,16,4,17,2,16,2,11,2,16,1,11,1,16,1,11,2,9,1,16,1,9,2,11,11,17,1,16,1,11,4,16,1,11,1,16,2,17,3,16,1,11,1,16,3,11,1,17,2,16,2,11,1,16,3,17,1,16,1,17,3,11,3,17,1,11,3,17,1,11,1,9,1,11,1,10,1,9,1,11,1,9,3,13,1,9,1,11,1,9,1,8,2,11,1,9,1,13,1,9,5,11,1,16,1,10,1,9,1,11,1,9,1,11,1,16,1,10,1,11,2,16,1,10,1,17,34,16,1,17,2,16,2,17,4,16,3,17,1,16,3,17,5,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,4,17,1,16,2,17,1,16,1,17,10,16,1,17,5,16,2,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,2,11,1,17,1,11,2,16,1,17,1,11,2,16,2,11,1,16,1,17,1,16,1,17,1,16,1,17,6,16,1,17,4,16,1,17,34,10,1,11,1,8,1,13,1,8,1,13,2,6,2,13,1,6,1,13,2,6,1,30,1,29,1,8,1,6,2,30,1,6,1,28,1,6,1,28,1,30,1,28,2,30,1,28,3,30,2,28,3,30,2,28,14,29,1,6,1,30,1,28,6,7,2,13,1,29,1,13,1,7,2,29,3,28,1,29,2,13,1,29,1,30,1,6,1,7,1,12,1,9,1,17,2,9,1,13,1,8,1,9,2,10,1,9,1,11,1,9,1,13,1,9,2,13,1,8,1,13,2,8,1,13,4,6,1,13,6,9,1,13,1,11,1,9,5,11,1,9,1,11,1,9,1,10,1,9,2,8,1,13,1,9,1,13,2,9,7,10,1,11,1,9,1,16,1,9,1,11,2,9,3,11,1,9,10,13,1,9,3,10,1,11,1,9,1,8,1,9,2,11,1,9,5,11,1,9,1,11,1,9,2,16,1,11,3,9,2,10,1,9,5,8,1,13,1,9,1,13,1,9,2,13,1,9,1,6,1,9,1,13,3,9,1,13,4,8,1,13,3,6,1,28,1,7,1,29,1,6,1,13,3,33,126,5,604,28,3,5,38,13,1,28,40,33,6,5,1,33,9,5,1,13,1,28,2,30,1,28,10,33,1,5,5,33,1,5,11,33,2,28,1,30,1,28,4,30,1,28,3,6,1,30,2,6,1,13,6,28,13,13,1,5,1,33,2,5,1,33,2,5,178,33,1,28,2,6,2,9,1,11,1,8,1,9,1,13,1,8,1,13,1,8,1,13,1,10,1,16,1,15,1,10,2,9,3,8,1,13,1,24,1,13,2,24,3,14,1,24,1,7,1,29,1,6,1,30,1,8,1,29,1,8,1,9,3,7,1,28,28,24,1,14,1,15,1,13,1,9,1,8,2,12,1,17,1,13,1,6,1,29,2,28,1,29,1,8,3,24,1,11,1,13,1,28,5,12,1,13,1,30,1,}, {6,1,13,1,7,1,8,1,15,2,29,1,30,3,28,1,30,1,6,1,28,1,24,1,9,2,13,1,29,1,30,1,6,1,30,1,6,1,9,1,24,1,30,2,28,33,29,1,30,1,29,1,13,1,9,1,17,5,14,1,8,1,13,2,6,2,13,1,6,1,12,1,17,1,8,1,9,1,24,1,10,1,17,1,12,1,10,1,9,1,7,1,24,2,15,1,24,1,8,1,24,1,6,1,24,1,12,1,17,6,16,1,9,2,17,6,12,1,17,4,16,1,24,1,8,1,29,1,8,1,7,1,8,1,13,2,8,1,6,1,8,1,29,1,13,1,6,1,7,1,6,1,13,1,29,1,13,1,6,2,8,1,6,1,13,1,9,1,24,1,10,1,8,1,14,3,24,1,8,1,13,1,7,1,13,1,7,1,13,1,9,1,11,1,17,2,10,1,9,1,12,2,7,1,6,2,29,1,6,1,13,1,24,1,12,1,10,1,17,1,10,1,6,1,28,1,30,1,28,7,29,1,30,2,13,1,17,130,16,1,17,3,16,2,11,1,16,2,9,1,16,1,11,1,9,1,11,1,9,2,11,1,9,1,16,5,17,1,16,1,17,1,16,1,17,1,16,2,11,1,9,1,10,1,11,1,9,2,11,3,9,2,11,5,16,1,9,1,16,1,9,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,9,1,16,2,11,1,16,2,11,1,16,1,11,1,16,3,11,1,16,11,11,1,9,1,13,5,9,3,10,1,11,5,16,1,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,2,9,2,13,1,9,3,13,1,9,1,13,2,9,4,13,1,9,1,13,2,9,2,16,2,11,1,16,1,11,1,9,1,13,1,9,1,8,1,9,2,8,1,9,1,13,1,6,4,30,1,6,1,7,1,6,1,30,1,6,1,7,1,8,1,9,1,13,1,8,1,13,2,6,1,13,10,9,9,11,1,16,1,17,1,16,1,17,5,9,1,13,4,8,1,16,1,11,1,16,1,11,1,16,2,11,3,9,1,17,1,16,1,11,1,16,1,9,1,16,3,11,1,16,5,11,1,17,1,11,4,16,1,10,1,11,2,16,1,9,1,11,1,10,1,9,1,8,1,13,1,9,1,13,1,8,1,13,2,7,1,6,2,30,2,6,1,13,1,6,2,7,1,13,1,28,1,13,1,6,1,7,1,6,1,13,1,7,1,13,1,30,1,7,1,6,1,13,1,30,1,6,1,13,3,8,1,7,1,13,1,6,1,13,1,7,2,13,2,6,1,13,3,8,1,13,1,9,1,7,1,8,1,13,2,7,1,8,3,13,2,8,1,13,1,7,1,13,2,9,1,8,1,9,2,8,1,9,4,13,1,11,1,9,1,11,1,8,1,9,1,10,1,11,8,16,1,11,1,16,1,8,1,11,1,16,1,17,7,16,1,17,5,16,1,17,4,16,1,17,7,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,2,11,1,16,1,11,1,16,3,17,1,11,1,16,3,17,1,16,2,17,1,16,1,17,1,16,12,17,1,11,1,16,2,17,1,16,6,11,1,16,1,11,2,16,1,17,1,16,5,11,1,16,1,11,2,16,1,11,1,16,1,9,2,11,1,9,2,16,1,9,1,11,1,9,2,11,1,9,1,10,1,16,1,17,1,16,1,17,1,16,2,17,1,16,2,17,2,16,1,9,1,11,1,17,1,16,2,17,1,16,2,11,1,16,1,11,3,16,1,17,1,11,1,16,1,17,1,16,1,17,1,11,1,16,1,11,3,16,1,11,3,10,1,11,2,9,1,11,1,8,5,9,7,8,1,10,1,9,2,10,1,9,1,11,1,10,1,9,5,11,1,10,1,11,1,9,2,11,2,9,1,10,1,16,1,8,1,9,3,11,1,9,1,11,2,9,2,11,2,9,3,11,1,13,1,9,2,13,2,9,3,11,1,9,3,13,1,9,1,8,1,9,5,11,1,9,1,11,1,9,1,16,1,11,2,17,1,16,4,11,4,9,1,11,1,16,1,9,1,11,3,9,1,16,1,11,1,16,7,9,1,16,4,11,2,17,6,16,2,17,3,16,1,11,1,17,1,16,3,17,5,16,3,17,2,11,2,17,3,16,1,17,2,16,1,17,1,16,2,17,2,16,2,17,2,16,2,17,4,11,1,17,2,16,1,17,4,16,1,17,25,16,1,17,1,11,1,16,1,9,1,13,3,7,1,28,1,7,1,6,1,13,1,7,1,6,3,30,2,28,1,29,1,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,8,30,2,6,1,30,1,28,1,6,1,28,6,6,3,13,1,7,1,24,1,7,1,29,1,28,1,29,2,8,1,6,1,13,1,8,1,9,2,13,1,17,2,11,1,16,1,17,1,16,2,11,2,16,1,11,1,16,2,11,1,9,2,13,3,8,1,13,3,6,1,13,1,6,1,13,2,6,1,13,3,8,1,11,1,9,1,13,1,9,1,13,2,9,2,8,1,9,3,13,3,9,14,13,1,9,4,11,1,9,1,10,1,11,3,9,2,8,1,9,2,8,1,13,2,11,1,13,3,9,4,11,1,9,1,10,1,9,1,13,1,9,3,16,1,13,1,10,1,9,2,11,2,9,11,8,1,9,3,13,1,9,2,13,4,9,1,7,1,13,4,9,1,6,2,13,1,6,1,13,1,6,1,13,1,7,1,13,2,33,127,5,603,33,1,5,40,6,1,28,1,30,1,28,34,33,1,5,25,6,1,28,4,5,24,28,7,6,1,30,1,33,3,5,2,33,1,5,1,33,15,5,186,33,1,28,2,13,2,8,2,9,2,24,1,9,1,8,1,13,1,8,1,11,1,14,1,17,1,9,1,13,1,10,1,11,1,9,1,24,1,7,1,8,1,24,1,9,1,8,1,15,1,10,1,12,1,6,3,7,1,6,1,13,1,6,1,9,1,17,1,15,1,13,1,6,1,29,1,28,1,30,1,28,25,24,1,14,1,10,1,8,1,24,1,8,1,10,1,12,1,24,1,8,1,13,1,6,1,29,1,28,1,30,1,6,1,13,1,24,1,10,1,12,1,7,1,28,5,9,1,13,1,28,1,}, {7,2,24,1,8,1,9,1,10,1,7,1,28,3,29,2,28,2,9,3,13,2,30,1,29,1,6,1,13,1,7,1,24,1,28,15,30,1,28,6,30,1,28,1,30,1,28,11,29,1,7,1,8,2,17,4,14,1,16,1,8,1,13,1,7,1,13,1,29,1,6,1,7,1,17,1,12,1,8,1,9,1,10,2,12,1,11,1,15,1,9,1,24,1,6,1,12,1,9,2,24,2,6,1,7,1,9,1,17,7,12,1,16,1,9,1,17,5,16,1,12,1,16,1,17,2,11,1,10,1,8,1,13,2,6,1,13,1,6,1,13,1,24,1,6,2,28,1,8,1,30,1,6,1,13,2,7,1,6,1,8,1,6,1,13,1,6,1,24,1,9,4,14,3,13,2,8,1,13,4,9,1,17,3,11,1,8,1,16,1,13,1,6,1,13,1,6,3,13,1,9,1,10,1,12,1,17,1,9,1,7,1,28,3,30,1,28,3,30,1,28,2,6,1,30,1,13,1,17,132,16,4,11,1,9,2,16,1,9,4,11,4,16,8,17,2,16,1,11,1,9,1,16,1,11,2,16,1,9,3,16,1,11,1,9,1,16,1,9,2,11,1,16,1,9,1,16,1,9,1,11,1,13,1,11,1,16,11,11,4,16,1,11,1,16,2,11,1,16,1,11,1,16,5,17,1,16,4,11,1,13,3,9,1,13,1,8,1,9,1,8,1,9,1,10,1,11,3,16,3,11,1,16,2,11,2,9,1,11,1,13,1,9,2,13,2,9,1,13,1,9,1,13,7,9,1,13,1,9,2,13,1,11,1,16,1,9,1,16,2,9,1,13,1,9,2,13,2,9,1,13,3,6,1,7,1,6,1,29,1,6,1,30,1,6,1,30,1,8,1,9,3,13,1,6,1,13,2,6,1,30,1,9,1,6,1,13,1,6,1,13,5,9,2,13,3,9,4,16,3,17,5,16,1,11,1,13,4,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,5,16,2,9,1,17,1,16,4,11,1,16,2,11,2,16,1,11,1,16,4,11,3,16,1,9,1,11,2,10,1,16,1,11,1,9,2,8,1,13,1,9,1,13,2,6,1,13,1,30,1,6,1,29,1,6,1,30,1,6,2,13,4,29,1,6,4,13,1,7,1,13,5,6,1,13,1,6,1,13,1,6,1,13,1,6,3,29,1,8,2,6,2,8,1,13,1,8,1,13,1,7,1,13,4,6,1,13,2,8,1,13,2,6,1,13,3,9,1,8,1,13,1,9,2,8,1,9,2,13,1,10,1,8,1,9,8,16,1,11,1,9,1,16,1,11,2,16,1,11,2,16,2,17,1,16,1,17,5,16,2,17,3,16,2,17,1,16,1,17,10,16,1,17,1,16,1,17,2,16,7,17,1,16,1,11,1,17,1,16,1,17,2,16,2,11,1,16,6,11,1,17,1,16,3,17,2,11,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,4,11,1,9,1,11,1,16,2,11,1,9,1,16,2,11,1,16,2,11,2,16,1,11,1,16,1,11,1,16,4,11,2,16,1,11,5,16,1,9,1,11,1,16,3,11,2,16,2,17,1,16,3,17,1,16,1,17,1,16,7,17,1,16,2,17,1,16,2,17,1,16,1,9,1,17,1,11,1,17,1,16,2,11,1,16,1,9,1,16,1,9,1,11,1,9,2,11,1,9,1,17,1,11,1,9,2,11,1,8,1,16,1,13,1,9,2,13,1,10,1,8,2,9,1,8,1,9,6,10,1,11,4,9,2,11,1,9,5,11,1,9,3,11,2,9,2,11,1,10,1,9,5,8,1,9,1,13,1,8,1,13,1,9,2,13,1,8,1,9,1,13,3,8,1,9,1,13,1,9,1,8,1,9,3,8,1,9,2,13,1,8,1,10,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,3,10,1,9,2,11,1,9,1,11,1,9,1,16,1,9,3,11,5,10,1,17,1,16,1,9,1,11,1,16,1,10,1,16,1,11,3,9,4,10,1,9,3,17,1,16,4,17,1,11,1,16,3,17,3,11,1,17,5,16,1,11,1,16,1,17,1,16,3,17,2,16,1,11,5,17,1,16,1,11,1,17,1,16,4,11,1,16,1,17,2,16,1,17,1,9,1,16,3,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,4,16,1,17,14,16,1,17,1,9,2,6,1,7,1,13,1,7,1,8,1,30,1,7,1,6,2,30,3,28,1,30,3,28,1,30,1,29,1,28,2,30,1,28,1,7,1,29,1,30,1,28,1,30,1,28,11,30,1,6,1,29,1,13,1,30,2,28,2,30,1,28,3,30,2,7,1,6,1,13,1,29,1,8,1,13,1,8,2,9,1,12,1,11,1,10,1,9,2,10,1,17,3,16,2,11,1,16,1,17,2,16,1,11,3,13,1,9,1,11,1,9,2,6,1,13,1,6,1,13,1,6,1,13,8,9,2,11,1,8,2,9,6,11,1,8,1,9,3,11,1,9,2,8,1,13,1,9,2,11,1,13,1,9,5,11,3,9,1,11,1,8,1,9,2,11,1,9,5,10,1,9,1,13,1,9,2,13,1,11,1,9,1,13,2,9,2,13,2,9,4,13,1,10,1,13,2,11,1,13,2,9,1,11,1,9,3,10,1,9,5,8,1,11,1,9,2,8,1,9,3,13,1,8,2,13,4,8,1,13,2,6,1,13,3,7,1,13,1,6,2,13,1,6,1,13,5,33,126,5,645,33,2,30,1,28,3,30,1,28,28,5,28,33,3,5,26,6,1,28,6,33,1,5,208,33,1,28,2,13,2,9,1,24,2,8,1,9,1,8,1,7,1,13,1,6,1,11,1,15,4,17,1,8,1,9,1,24,1,13,1,8,1,24,1,9,2,24,1,14,1,15,1,8,2,30,1,29,1,30,1,7,2,8,1,17,2,13,1,7,1,29,1,28,27,14,2,12,1,8,1,13,2,9,1,15,1,10,1,12,1,10,1,6,2,29,1,30,1,6,2,8,1,12,1,10,1,6,1,28,4,29,1,12,1,8,1,28,1,}, {6,1,13,1,8,2,9,1,11,1,8,1,28,1,30,1,29,1,6,2,29,1,7,2,12,1,10,1,13,1,6,1,13,1,6,1,29,1,13,1,9,1,24,1,29,1,28,34,30,1,28,2,8,1,9,1,17,2,12,1,17,2,15,1,9,1,8,1,6,2,13,1,28,1,6,1,8,1,17,1,9,1,24,1,9,1,10,1,9,1,17,1,14,1,11,1,13,1,30,1,9,1,11,1,24,1,8,2,13,1,7,1,8,1,17,5,16,1,17,1,10,1,11,1,10,1,17,6,11,1,17,4,9,1,13,1,8,2,13,1,8,2,13,4,8,1,24,1,6,1,7,1,13,2,8,1,13,1,6,2,8,1,24,1,13,1,8,1,10,2,12,1,14,3,10,1,8,1,13,1,30,1,6,1,13,1,24,2,17,3,12,1,24,1,9,2,13,1,7,1,13,1,6,2,8,1,9,1,24,1,9,1,15,1,8,1,6,1,30,1,28,3,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,13,1,17,123,16,1,17,1,16,2,17,1,16,1,17,2,16,1,17,1,16,3,9,3,11,1,16,1,11,1,9,2,11,1,16,1,9,1,11,1,16,5,17,1,16,2,17,1,16,2,9,1,13,1,9,3,11,1,9,1,11,1,9,1,11,1,10,1,16,1,11,2,9,2,11,1,9,3,11,1,9,1,11,3,16,1,11,1,16,1,11,1,16,5,9,2,11,3,16,1,11,1,9,1,16,1,11,3,16,1,11,1,16,5,17,2,16,2,9,1,13,6,9,4,10,1,11,3,16,2,9,1,16,1,11,2,9,5,11,1,13,6,9,1,13,4,9,1,13,1,9,1,11,1,16,2,11,1,9,1,13,2,8,2,9,3,13,1,7,1,13,1,8,1,13,1,7,1,13,1,6,2,30,1,6,1,13,1,9,2,16,1,11,1,13,1,6,1,13,3,9,2,13,5,7,1,9,1,13,1,9,2,13,1,9,2,13,1,8,1,13,1,11,1,16,2,17,1,16,2,17,1,16,3,11,1,13,2,6,3,11,1,16,5,11,1,16,1,11,3,16,1,11,1,16,1,11,1,16,1,11,1,16,6,11,2,16,2,11,1,16,2,11,2,17,1,11,1,16,1,11,1,16,1,9,1,11,1,9,6,11,1,9,2,13,1,8,1,30,1,6,2,7,1,30,1,6,2,7,2,6,1,13,1,6,1,7,1,30,1,6,1,13,1,6,1,29,1,13,5,6,1,13,7,6,3,29,1,8,2,6,1,13,3,8,1,13,1,8,1,7,1,8,1,13,2,8,1,13,2,8,1,13,3,6,1,8,1,9,1,13,2,8,1,9,1,8,1,13,1,9,2,8,1,9,3,10,2,9,1,16,1,9,2,16,3,11,2,16,1,11,2,16,2,17,7,16,5,17,1,16,1,17,3,16,1,17,9,16,2,17,1,16,2,17,2,11,1,16,3,17,4,11,3,16,5,11,1,17,1,16,1,11,1,17,2,11,1,16,4,17,1,16,1,17,1,16,1,17,3,16,2,17,1,16,6,17,1,16,3,11,1,16,2,11,1,16,6,11,2,16,1,9,1,11,1,9,1,16,2,11,1,16,2,11,1,9,2,11,2,9,1,11,2,16,1,11,1,9,1,16,1,11,1,17,1,16,2,11,1,17,1,16,6,11,1,17,1,11,1,16,1,17,1,16,4,11,2,17,1,16,1,17,1,11,1,16,1,11,2,9,1,11,2,9,1,11,2,9,3,10,1,16,1,9,2,11,1,9,5,13,1,8,1,9,2,10,1,9,3,11,2,10,2,11,2,9,1,11,2,9,2,10,1,9,2,10,1,11,1,9,3,11,1,9,2,11,1,9,6,10,1,9,2,13,1,9,3,10,1,9,2,13,1,28,1,13,3,9,3,13,1,9,2,13,2,8,1,9,3,13,1,9,7,11,1,9,2,13,1,9,3,16,1,13,1,9,1,8,1,9,2,10,1,9,1,11,1,10,1,11,1,9,1,11,3,16,2,11,2,16,1,11,1,16,1,17,1,11,1,9,7,13,2,8,1,9,5,13,1,8,1,11,1,9,1,10,1,11,1,9,1,11,1,17,4,16,1,11,1,17,1,16,1,17,3,16,1,11,2,17,1,11,1,16,1,11,2,16,1,9,1,11,2,16,1,17,1,16,1,11,4,10,1,11,2,10,1,11,1,16,1,11,1,9,1,11,1,16,3,17,1,16,1,11,1,16,1,11,1,17,1,16,1,11,1,16,1,11,1,9,1,11,1,16,2,17,2,11,1,16,1,11,1,16,3,11,1,16,1,17,1,16,1,17,1,16,1,17,4,16,1,17,1,13,1,6,2,9,1,7,1,6,3,29,4,30,1,28,1,30,2,28,2,30,1,28,4,30,1,28,13,30,1,6,1,30,2,8,1,7,1,28,1,6,1,28,5,30,3,29,1,7,1,6,2,13,2,24,1,9,2,11,4,16,1,17,2,16,4,11,1,16,1,10,1,11,1,13,1,9,2,13,1,9,6,13,2,7,1,6,1,13,7,9,3,11,1,16,1,9,2,11,1,9,1,8,1,10,1,9,6,11,1,9,5,11,1,9,3,11,1,9,3,11,1,9,3,8,1,9,1,11,1,9,1,13,1,9,1,11,1,9,2,13,1,9,2,6,1,13,3,9,2,13,1,8,1,9,2,13,1,9,1,13,2,9,1,13,1,9,1,13,2,9,1,13,1,9,1,11,2,9,3,13,1,9,1,13,1,9,1,13,1,9,5,11,1,9,3,13,1,9,1,13,4,9,1,8,1,13,5,8,1,28,1,13,1,6,1,13,1,6,1,7,2,13,3,9,2,33,126,5,647,33,1,6,1,30,2,6,1,28,26,5,59,30,1,6,1,33,4,5,209,13,1,28,2,7,2,8,1,24,1,8,1,9,1,24,2,8,1,6,1,8,1,9,1,14,2,16,1,24,1,12,1,17,1,24,1,8,2,13,1,9,1,10,1,24,2,14,2,9,1,8,1,13,1,29,1,6,1,29,2,8,1,17,2,24,1,6,2,30,1,28,25,30,1,10,1,15,1,10,1,9,1,6,1,13,1,24,1,15,1,10,1,8,1,24,2,30,2,6,1,30,1,7,1,8,1,10,1,9,1,6,1,28,5,12,1,8,1,28,1,}, {8,1,13,2,24,1,12,1,14,1,13,1,28,1,30,1,28,1,29,1,6,2,28,1,13,1,9,1,24,1,13,1,29,1,30,1,6,1,30,1,13,1,9,1,24,1,7,1,28,22,30,2,28,10,6,1,30,1,29,1,6,1,8,1,9,1,17,3,14,2,24,1,13,1,7,1,8,1,6,1,30,1,29,1,15,1,12,1,9,2,12,1,10,1,16,2,11,1,10,1,7,1,13,1,24,1,14,1,24,1,13,1,9,1,13,1,24,1,8,1,17,2,12,1,17,1,12,1,11,1,9,1,12,1,11,1,12,1,17,6,16,1,17,4,9,1,7,1,8,2,7,1,8,2,13,3,6,1,8,1,6,1,30,1,6,2,13,1,6,1,8,1,6,1,13,2,8,1,30,1,13,1,24,1,9,1,14,1,15,1,14,2,13,1,8,1,9,1,13,1,8,1,9,1,24,1,9,1,14,1,17,3,10,1,8,2,13,3,7,3,24,1,12,1,10,1,15,1,9,1,13,1,6,1,28,2,30,1,28,3,30,1,28,4,8,1,17,125,16,1,17,1,16,1,17,1,16,4,11,1,16,1,9,1,11,2,13,1,9,3,11,1,9,1,11,3,16,1,11,2,16,2,11,1,16,5,11,1,9,2,11,1,9,1,11,1,9,3,11,1,9,2,11,2,9,7,13,1,9,1,13,2,11,1,9,1,11,2,16,6,11,1,9,1,11,2,9,4,11,1,16,1,9,3,16,1,11,1,16,2,17,1,16,1,17,3,16,2,11,1,9,1,13,4,9,1,8,1,9,2,8,1,9,1,11,6,16,1,9,1,11,1,9,5,13,1,9,1,13,1,9,1,13,6,6,1,9,1,11,1,9,1,16,2,11,1,9,6,8,1,9,2,13,2,29,1,13,1,30,1,6,2,13,1,6,1,13,1,8,1,10,1,9,1,16,1,11,1,9,1,13,14,9,1,13,3,9,1,13,1,9,3,11,1,16,3,17,2,16,1,17,2,16,2,13,1,7,1,13,1,30,1,13,1,11,1,16,2,17,1,11,1,16,1,11,2,16,1,11,1,9,1,11,4,16,2,11,1,9,1,16,2,9,1,16,3,11,1,16,5,11,2,16,1,11,1,16,1,11,2,16,1,9,1,11,2,9,2,10,1,9,1,10,2,8,1,9,1,6,1,13,1,30,2,29,1,7,1,13,3,6,4,13,1,6,2,13,2,6,3,7,2,13,1,6,2,13,1,6,1,7,1,6,1,13,2,6,3,13,1,6,1,9,1,13,5,8,1,13,3,8,1,13,4,8,1,13,1,6,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,8,2,9,2,11,1,9,1,11,1,9,1,16,1,11,2,9,1,10,1,9,1,16,1,11,3,16,2,17,27,16,3,17,2,10,1,16,3,17,1,16,1,17,2,11,1,16,2,17,1,16,2,11,1,16,7,17,1,16,3,17,1,16,3,17,3,16,1,17,1,16,1,17,2,16,5,11,1,16,3,11,2,16,2,11,1,16,1,9,1,11,2,10,1,11,1,16,1,11,1,16,8,11,1,16,1,11,1,16,2,11,2,16,1,11,1,16,1,11,3,9,1,17,1,16,1,17,1,11,3,17,1,11,1,17,2,11,1,16,2,17,1,16,3,11,1,16,1,11,2,17,6,16,2,11,3,16,1,11,2,9,2,11,4,16,1,9,3,10,2,11,1,9,6,11,1,9,4,11,1,9,2,11,2,16,1,11,1,16,2,9,2,11,1,16,1,11,2,9,6,13,1,9,2,8,1,13,1,9,2,8,1,13,2,9,3,11,1,9,1,11,1,9,2,13,1,8,2,9,4,13,1,8,1,13,1,9,1,10,1,13,2,8,1,9,1,13,1,9,2,8,1,11,1,9,3,13,1,9,1,8,1,9,2,8,1,10,1,9,1,8,1,9,1,11,1,9,2,11,2,9,1,11,3,16,1,11,4,16,1,11,3,9,2,11,1,9,6,13,1,9,2,8,1,9,1,8,1,9,2,11,2,9,6,11,2,9,1,16,2,17,1,10,1,16,1,17,1,11,1,16,1,17,1,9,1,11,1,16,1,9,1,16,1,9,1,11,2,9,1,11,1,10,1,16,3,11,1,16,1,17,1,9,1,10,1,9,1,16,1,11,1,9,3,11,1,16,1,17,1,16,6,17,2,9,1,17,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,2,10,1,11,2,16,1,11,1,16,1,17,1,11,2,17,1,11,2,16,1,11,1,16,1,17,3,12,1,9,1,6,1,13,1,7,1,13,1,7,1,6,3,13,2,29,1,28,1,29,1,30,3,28,2,30,1,28,3,6,1,28,3,30,1,28,7,30,3,7,1,13,1,28,1,29,1,30,2,28,4,29,1,28,1,7,1,6,2,8,1,9,1,17,6,16,2,11,1,9,1,11,2,9,2,13,1,9,1,13,5,8,1,6,1,13,1,9,1,13,2,9,1,13,4,6,1,13,1,30,2,6,1,13,3,9,3,11,1,10,1,11,2,10,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,11,1,10,1,9,1,11,1,13,1,8,1,11,1,9,1,10,1,11,1,9,2,10,1,13,1,11,1,9,1,10,1,9,1,11,1,9,3,11,1,9,2,16,1,11,1,10,1,9,2,13,5,9,1,13,3,9,1,13,1,9,1,11,1,9,1,11,1,13,1,9,1,13,2,9,6,11,2,9,1,11,1,9,4,8,1,13,2,9,11,8,1,13,1,9,1,13,2,9,1,13,3,9,1,13,2,9,1,13,7,9,2,13,1,33,128,5,647,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,15,33,2,5,62,33,1,5,213,33,1,28,1,30,1,13,3,8,1,9,1,24,2,11,1,13,1,29,1,13,1,9,1,14,2,11,1,9,1,12,1,10,1,9,1,24,1,13,1,9,1,10,2,9,2,12,1,14,1,12,1,6,1,13,1,8,1,6,1,13,1,7,1,10,1,17,2,13,1,29,1,13,1,6,2,28,25,9,1,14,1,17,1,9,1,24,1,9,1,12,1,15,1,9,1,24,1,13,1,6,1,29,1,28,1,29,1,7,1,13,1,8,1,24,1,8,1,7,1,28,4,30,1,10,1,13,1,30,1,}, {13,2,8,1,12,3,7,2,29,3,30,2,28,1,13,1,12,1,17,1,7,1,6,2,7,1,6,1,7,1,24,1,13,1,30,1,28,20,30,1,28,13,30,1,28,1,29,1,13,1,17,1,12,1,9,1,12,1,17,1,12,1,16,1,13,2,6,1,7,1,30,2,6,1,24,1,17,1,9,1,24,1,9,2,8,1,9,1,15,1,10,1,13,2,8,1,14,1,15,1,8,1,13,1,9,1,13,1,8,1,17,4,11,1,10,2,8,1,9,1,10,1,17,5,16,2,17,3,16,1,11,1,6,1,13,1,29,1,13,1,6,1,8,1,13,2,6,1,29,1,7,2,13,1,6,1,8,1,6,1,8,1,13,1,8,1,7,1,9,1,13,1,8,1,9,3,14,2,17,2,9,2,6,1,13,2,8,1,24,1,8,1,17,3,10,1,8,1,24,1,8,1,13,2,6,2,13,1,6,1,24,1,8,1,15,1,14,1,10,1,8,1,30,1,28,2,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,1,29,1,17,127,16,1,17,1,16,4,11,1,16,1,9,1,11,1,9,4,13,1,9,3,11,1,16,1,9,1,16,1,11,2,9,1,16,4,11,1,16,1,9,3,11,3,9,1,11,1,9,1,11,1,16,1,9,1,11,1,9,2,11,2,9,2,13,1,9,4,13,1,9,1,13,1,9,1,13,1,11,1,16,4,11,2,9,1,11,1,9,3,11,1,13,4,9,2,11,3,16,4,17,1,16,1,17,2,16,3,13,1,8,1,13,2,9,8,11,2,9,1,11,1,9,1,11,3,9,1,8,1,11,1,9,1,13,10,9,2,11,2,16,1,9,3,13,1,9,1,13,3,9,1,13,3,28,2,6,1,29,1,30,1,29,1,6,1,13,1,11,1,16,1,11,2,16,1,9,3,13,2,9,1,13,7,28,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,13,1,11,1,16,2,17,1,16,1,17,2,16,3,9,1,13,2,6,1,30,1,13,1,11,1,16,6,9,1,11,2,9,1,11,3,9,1,16,3,11,3,16,1,17,1,11,1,16,3,11,1,16,2,11,2,16,3,11,5,9,1,11,2,16,1,11,1,9,1,11,1,10,2,11,1,9,2,13,5,7,1,6,2,29,1,30,1,7,1,13,1,29,1,6,1,7,1,13,1,6,1,13,1,7,2,30,1,13,2,7,1,13,1,6,2,8,1,30,1,7,1,8,1,29,1,13,1,29,1,13,4,7,1,13,5,6,1,13,2,9,1,8,1,13,2,6,1,9,1,7,1,13,2,8,2,13,1,8,1,13,3,9,1,8,2,9,1,10,1,9,1,8,1,10,1,9,1,16,1,8,1,16,1,9,1,10,1,16,1,11,1,16,1,11,5,16,1,17,20,16,1,17,5,16,3,17,1,16,1,17,3,16,6,11,1,16,7,17,1,16,2,17,1,16,2,17,2,16,2,17,1,16,3,17,5,16,2,11,1,16,2,11,1,16,1,11,1,16,1,11,2,9,1,16,7,17,2,9,1,16,1,17,2,16,2,11,1,16,2,17,1,16,2,11,2,16,2,11,1,16,1,11,2,10,2,17,1,11,1,16,1,10,1,16,3,17,1,11,1,17,1,16,2,17,2,16,2,17,1,16,1,17,5,16,1,11,1,16,2,11,1,17,1,11,1,16,1,11,3,9,1,10,1,11,1,16,1,17,1,16,1,17,1,16,1,11,1,16,1,11,2,10,1,9,1,10,2,11,2,9,1,11,1,9,1,11,1,13,1,9,1,11,1,10,1,9,1,11,1,16,1,9,1,11,2,16,1,17,1,16,2,11,3,16,1,11,1,9,2,8,1,9,2,13,1,9,1,13,1,10,1,9,1,7,1,8,1,9,7,13,1,9,2,16,2,11,1,16,1,9,2,13,1,9,1,8,1,13,1,11,1,10,1,9,1,13,1,9,1,8,2,13,1,9,4,13,1,11,1,9,2,13,1,8,2,13,2,8,2,9,1,13,1,9,2,8,1,11,1,9,5,11,5,9,1,16,1,11,2,16,1,9,4,11,1,9,1,10,1,13,1,8,1,10,1,9,2,13,1,9,5,11,1,9,2,11,1,9,2,8,1,11,2,9,1,13,1,9,2,10,1,11,1,16,3,17,1,11,1,16,1,11,2,10,1,11,3,16,2,11,2,16,2,17,1,16,4,11,1,16,1,11,1,16,2,10,1,17,1,11,1,17,2,16,4,17,2,16,4,9,1,10,1,9,1,11,1,9,1,16,1,9,1,11,2,16,2,11,1,17,1,16,2,11,4,9,1,11,1,10,1,9,1,8,1,9,1,11,2,17,2,16,1,9,1,8,1,13,1,9,1,13,1,8,1,13,1,7,1,13,1,8,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,5,30,1,29,1,30,1,28,9,6,1,28,1,30,2,29,1,6,1,7,1,29,2,6,1,30,2,28,1,29,1,30,1,29,1,28,1,13,1,8,1,9,1,11,1,17,1,16,1,17,1,16,1,17,1,11,1,9,2,13,1,8,1,13,11,6,1,13,1,6,1,8,1,13,2,30,1,6,1,13,2,6,2,30,1,6,2,13,5,16,1,9,1,11,1,9,1,11,2,16,1,9,1,10,1,9,6,11,2,9,2,11,1,16,1,11,1,13,1,10,1,11,1,9,1,10,1,9,2,10,1,9,2,8,1,9,2,11,1,9,1,11,1,9,1,10,3,9,1,13,3,9,1,13,1,8,1,13,1,9,4,10,1,9,4,11,1,9,1,13,5,9,3,10,1,9,1,8,1,9,1,13,2,9,1,13,1,8,1,11,1,13,1,9,5,11,1,13,1,9,4,13,2,8,1,13,2,8,1,6,1,13,2,6,1,13,1,6,1,7,1,13,1,6,1,13,1,9,1,8,1,9,2,13,1,11,1,13,1,33,127,5,650,33,2,5,2,30,1,6,1,28,13,33,1,5,279,13,1,28,1,7,1,13,2,8,1,24,2,8,3,13,1,8,1,29,1,15,1,9,1,17,1,12,1,24,1,17,1,8,1,9,1,11,1,10,1,8,1,24,1,9,1,12,1,9,2,12,1,24,1,6,3,13,1,6,1,13,1,12,3,9,1,13,2,6,2,30,1,28,24,9,1,16,1,9,1,24,1,9,1,24,1,9,1,17,1,10,1,9,1,8,1,6,1,28,1,30,1,28,1,6,1,13,1,24,1,10,1,9,1,6,1,28,4,7,1,10,1,24,1,28,1,}, {29,1,6,1,13,1,24,1,17,1,10,1,7,1,28,3,29,1,28,1,6,1,28,1,24,2,9,2,24,1,6,1,29,1,6,1,7,1,9,1,15,1,7,1,28,8,30,1,28,9,29,1,28,15,29,1,30,1,8,1,7,1,10,1,12,1,17,3,14,2,8,1,13,1,6,3,29,1,6,1,8,1,17,1,9,1,17,1,9,1,12,1,8,1,10,1,17,1,24,1,7,2,10,1,14,2,8,3,13,1,10,1,17,4,10,1,24,1,11,1,9,1,11,2,16,1,17,4,16,1,17,6,13,2,6,1,29,1,6,1,13,1,6,1,24,1,6,1,24,1,6,1,29,1,6,1,24,1,13,2,8,1,13,1,24,1,8,1,13,1,7,1,13,1,6,1,8,1,11,1,16,1,17,2,14,1,11,1,13,1,8,1,9,2,24,1,13,1,8,1,17,1,14,1,17,1,11,1,8,1,9,1,13,4,6,1,13,1,8,2,13,1,17,2,15,1,8,1,28,1,30,1,28,5,30,1,28,2,30,1,28,1,13,1,17,111,16,2,17,3,16,1,17,6,16,1,17,4,16,3,11,1,16,1,11,1,9,2,8,1,9,1,11,1,9,5,11,1,9,2,16,1,11,3,9,1,11,1,16,3,11,1,16,2,11,1,16,1,11,1,16,1,11,1,9,1,11,1,8,2,9,9,8,1,13,2,9,3,8,1,13,1,9,2,16,5,11,2,9,3,13,1,9,1,13,8,16,1,11,1,16,2,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,11,1,9,2,13,2,9,1,13,1,8,1,9,4,11,3,9,4,11,1,16,1,9,3,13,1,9,1,13,9,11,1,16,2,11,1,9,4,13,1,8,4,7,1,29,2,30,2,6,1,29,1,28,1,30,1,13,1,9,1,16,3,11,1,16,1,9,1,13,3,9,1,8,1,13,5,6,1,9,1,13,3,9,1,13,2,9,1,13,2,9,2,11,1,16,4,17,1,16,4,13,1,6,1,30,1,6,2,28,1,16,1,17,1,16,3,17,1,16,1,11,1,9,1,16,1,10,1,11,1,16,1,10,1,11,2,9,1,16,1,11,1,16,2,17,1,11,1,16,1,11,1,16,1,11,2,17,1,11,1,16,3,11,1,16,1,11,3,16,2,11,1,16,1,11,1,16,1,9,1,16,2,11,1,16,1,11,1,9,1,11,1,9,3,13,1,7,1,13,1,6,2,7,1,6,2,28,2,7,1,6,3,30,1,13,1,6,1,7,1,13,1,7,1,6,1,8,1,6,1,13,2,29,1,7,2,6,1,30,1,29,1,13,1,29,1,13,5,8,1,6,1,13,2,8,1,9,1,13,4,8,1,13,3,9,1,13,3,10,1,8,1,13,1,8,2,9,2,8,1,9,2,11,1,9,1,11,4,10,1,11,1,16,1,17,1,16,3,9,1,16,1,11,1,16,1,17,8,16,1,17,6,16,2,17,4,16,1,17,7,16,4,17,1,16,1,17,1,16,5,17,1,16,2,17,2,16,3,17,2,16,1,17,2,16,1,17,1,16,1,9,1,11,1,16,1,17,3,16,7,11,1,16,1,9,1,16,1,11,2,16,2,11,2,9,1,11,1,10,1,16,2,11,2,16,4,11,2,16,1,11,1,16,1,17,1,16,1,17,1,11,1,16,1,11,1,17,1,11,1,10,1,16,1,17,1,10,1,16,1,11,2,16,3,11,1,16,4,9,1,11,1,16,2,17,1,16,1,11,1,16,1,17,1,16,3,11,1,17,3,10,1,16,1,17,1,16,3,11,1,17,1,16,1,11,1,9,1,11,1,16,1,11,2,16,1,11,1,10,1,11,4,9,1,17,1,11,2,16,1,11,1,9,3,10,1,9,1,11,3,9,1,11,1,9,1,16,2,11,2,9,2,11,1,10,1,9,1,11,1,10,1,9,1,13,1,8,1,9,2,8,1,9,1,13,1,9,1,8,1,13,1,8,1,9,1,8,1,13,1,8,1,9,5,11,1,17,3,16,1,17,1,9,1,13,4,9,1,13,1,9,2,13,5,9,1,11,1,9,2,13,1,9,1,13,4,9,1,8,1,9,4,13,1,8,1,9,3,8,2,9,2,11,2,8,1,11,3,16,1,9,2,8,1,9,2,11,1,9,2,13,2,8,2,9,2,13,1,9,11,13,1,16,1,9,2,13,1,8,1,9,4,11,1,9,7,13,1,9,1,8,1,9,6,16,2,11,1,16,6,11,1,16,1,11,1,17,3,11,1,16,2,11,1,10,1,11,3,16,5,11,2,16,1,11,4,16,1,11,1,16,3,11,1,16,1,9,1,11,1,9,2,11,2,9,1,10,1,16,1,11,1,9,2,17,4,16,1,10,2,13,3,7,1,6,1,8,1,29,1,6,1,7,1,29,1,28,1,29,2,30,1,29,1,28,5,30,2,28,1,6,1,28,4,30,1,28,2,29,1,28,2,30,1,7,1,6,2,7,1,6,2,30,1,6,3,8,1,11,2,9,1,16,1,11,2,13,1,8,1,30,1,13,2,9,1,13,5,7,1,30,1,6,1,13,2,6,2,13,2,7,1,13,4,6,1,13,1,6,1,13,1,6,1,13,4,8,2,13,4,9,3,11,1,16,1,11,1,9,2,11,2,9,1,16,1,9,1,11,1,10,1,9,1,11,5,9,2,11,1,9,3,11,1,9,7,13,1,10,1,9,1,11,1,9,4,13,1,8,1,13,1,9,1,13,2,11,1,9,2,16,1,9,2,11,2,9,1,13,2,9,2,11,1,8,2,9,1,8,1,9,3,13,1,9,1,13,1,9,2,11,1,13,2,9,1,13,1,9,2,11,1,9,9,13,3,9,1,13,5,6,1,13,1,6,1,9,1,13,1,9,1,13,2,8,1,13,1,9,2,13,1,6,1,33,125,5,655,28,13,5,281,30,1,28,1,29,1,13,4,8,3,13,1,6,1,7,1,8,1,15,1,10,2,12,1,16,1,17,1,8,1,12,1,10,2,11,1,12,1,24,1,9,2,12,1,15,1,9,1,6,3,29,1,8,1,6,1,10,1,17,2,8,1,13,1,6,1,7,1,24,1,6,1,28,23,6,1,9,1,17,1,12,1,9,1,8,1,11,1,17,2,12,1,24,1,9,1,6,2,29,3,7,1,13,1,12,2,30,1,28,4,29,1,15,1,13,1,28,1,}, {29,1,7,2,6,1,11,1,12,1,13,1,30,1,28,2,30,1,28,1,30,2,8,1,9,1,12,1,13,1,29,2,6,1,29,1,7,1,9,1,14,1,6,1,28,20,30,1,28,13,13,1,7,1,29,1,13,1,9,2,17,1,11,1,14,3,10,1,9,1,29,1,7,1,13,1,28,1,6,1,24,1,17,1,9,1,10,1,12,1,10,1,24,2,17,1,13,1,7,1,13,1,9,1,14,1,17,1,12,1,8,1,24,1,13,1,24,1,12,1,17,1,10,1,9,1,12,1,16,1,17,1,11,1,9,2,17,5,11,1,17,6,13,1,7,1,13,2,6,1,13,2,24,1,6,1,24,1,7,1,8,1,13,2,24,1,13,1,24,1,7,1,13,1,7,1,13,1,29,1,7,1,8,2,12,1,9,1,17,2,14,2,8,1,24,2,9,1,24,1,9,1,10,1,15,1,17,1,14,1,10,1,8,1,11,1,9,1,13,3,6,1,13,1,7,1,8,2,9,1,17,1,10,1,8,1,30,1,29,1,28,1,30,2,28,1,30,1,28,1,29,1,30,1,28,2,9,1,17,110,16,3,17,2,16,1,17,3,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,4,11,1,9,5,11,1,9,2,11,1,9,1,11,2,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,17,1,16,2,11,4,16,1,11,2,9,1,11,1,9,2,13,1,9,6,8,1,9,5,13,2,9,3,11,1,16,4,9,5,13,1,9,1,13,7,11,2,16,9,17,1,16,1,17,1,16,1,11,1,9,1,13,3,6,1,13,1,8,1,9,2,11,2,13,1,9,2,11,1,9,1,16,1,11,2,9,1,11,2,13,8,9,1,11,1,16,2,11,2,9,4,8,1,9,2,7,3,6,1,30,1,29,1,28,1,29,2,28,1,6,1,13,1,9,3,16,1,11,2,16,1,11,1,9,1,13,4,6,1,13,2,7,1,13,2,6,1,13,3,9,1,13,1,9,1,13,2,9,1,13,2,9,2,16,8,13,1,6,1,13,1,30,1,6,1,13,1,11,1,17,1,16,2,17,1,16,2,17,1,16,3,11,3,16,1,11,3,9,1,17,1,16,1,9,1,11,3,10,1,11,1,16,5,11,1,16,3,11,1,16,4,11,2,16,1,11,1,16,1,11,2,9,3,11,1,9,2,10,1,16,1,13,1,6,1,30,1,6,3,30,1,6,2,30,1,6,1,7,2,13,4,6,1,7,1,13,2,6,1,13,3,29,1,13,1,7,1,6,1,30,2,6,1,13,2,8,1,13,1,6,1,13,1,8,1,13,1,7,1,9,1,8,1,6,1,13,2,8,2,9,1,11,1,8,1,13,1,7,1,9,6,8,2,9,1,8,1,9,4,11,3,10,1,11,3,16,1,17,1,16,2,11,2,16,1,11,1,16,1,17,7,16,1,17,6,16,1,17,2,16,1,17,4,16,1,17,2,16,1,17,2,16,1,17,1,16,2,17,1,16,2,17,3,16,1,17,1,16,1,11,1,16,3,11,3,16,3,9,1,16,2,11,1,16,1,11,1,16,1,17,2,16,2,17,2,16,9,17,1,9,1,11,7,9,1,11,1,16,2,11,1,17,1,16,4,11,1,16,1,17,2,16,1,17,2,16,1,11,1,16,1,17,1,11,1,16,1,11,1,9,1,16,2,11,4,16,1,11,2,16,1,11,2,17,1,16,7,17,2,16,1,17,1,16,1,11,2,16,8,11,3,16,1,9,1,11,2,16,3,11,1,16,1,11,1,16,1,11,3,9,1,11,4,9,2,11,2,10,1,11,5,17,1,16,1,11,2,9,1,10,1,9,4,16,1,9,1,13,1,9,8,8,2,9,1,13,1,9,1,8,1,13,1,8,1,10,1,13,1,11,1,16,1,11,1,17,1,11,1,9,2,8,1,13,2,8,1,9,1,13,1,9,1,13,2,6,1,9,1,13,2,11,2,8,1,13,5,8,1,11,1,9,4,8,1,10,1,9,1,13,1,9,1,13,1,9,2,8,1,11,2,16,1,11,1,16,1,9,7,13,1,11,1,9,1,11,1,9,1,11,1,13,2,8,1,9,1,11,1,9,1,13,1,9,1,11,1,9,5,11,2,9,1,16,1,9,1,13,1,9,6,11,1,9,2,11,1,9,2,11,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,13,1,9,6,13,2,9,1,16,5,17,1,16,4,17,1,11,1,17,1,16,2,17,3,16,2,11,2,9,1,11,3,16,1,11,1,17,1,11,1,16,5,11,1,9,2,11,1,9,4,11,1,9,1,11,2,16,1,11,2,17,3,9,3,8,2,9,1,13,1,7,1,13,2,6,2,13,1,6,3,30,2,28,4,30,1,6,1,29,1,30,1,29,1,6,1,13,1,28,1,6,1,30,1,28,1,7,1,28,1,29,1,28,1,13,1,24,1,13,1,9,1,11,1,9,1,12,1,17,1,9,4,16,1,9,1,13,1,6,1,13,1,8,1,9,1,13,3,9,1,7,1,6,1,9,1,13,2,9,1,13,1,6,1,13,1,30,1,13,1,8,1,7,1,13,2,6,1,13,5,6,1,9,1,6,1,13,2,9,4,13,1,29,1,9,2,11,2,10,1,11,2,10,2,11,4,17,1,11,3,9,1,11,3,9,1,10,1,9,2,11,1,8,1,9,1,11,1,9,4,13,1,8,1,9,2,8,1,13,1,9,5,13,3,8,1,9,3,11,1,9,4,11,1,9,2,13,1,9,1,13,1,9,2,13,2,9,1,13,1,9,2,13,1,9,1,13,2,8,1,13,1,9,2,13,4,8,2,13,1,9,4,8,3,13,2,9,1,13,1,6,1,13,1,9,1,13,5,9,1,13,1,9,1,13,3,9,1,13,2,6,1,30,1,13,1,33,124,5,658,33,2,5,1,28,6,5,282,13,1,28,1,13,1,8,2,24,1,13,2,24,1,13,1,8,1,6,1,7,1,8,1,24,1,9,1,16,1,11,1,9,1,8,1,13,1,12,1,9,1,10,1,24,1,15,1,12,1,24,1,15,1,12,1,15,1,13,1,8,1,6,1,29,1,30,1,13,2,10,1,17,2,24,1,8,1,13,1,6,2,29,1,30,1,28,22,7,1,12,1,17,1,11,2,8,1,10,2,17,1,15,1,8,2,29,1,28,2,6,2,30,1,10,1,9,1,14,1,30,1,28,4,29,1,14,1,8,1,28,1,}, {30,1,8,1,13,1,8,1,17,1,9,1,13,1,30,1,28,1,29,1,30,1,28,1,6,1,28,1,6,1,8,1,10,1,13,1,29,1,6,1,30,1,29,1,6,1,24,1,17,1,29,1,28,33,29,1,30,1,6,1,29,1,13,1,24,1,9,1,17,3,14,2,10,1,13,3,29,1,6,1,29,1,9,1,17,1,16,1,9,1,10,1,13,1,9,1,8,1,10,1,13,1,9,1,13,1,8,1,17,2,12,1,8,1,13,2,8,1,17,4,16,1,9,1,10,1,13,1,9,2,16,1,17,1,16,1,17,9,12,1,13,1,6,1,13,1,7,1,13,1,24,1,8,2,13,1,24,1,13,1,6,1,13,1,7,1,8,1,13,1,8,2,6,4,8,1,24,1,10,2,14,1,17,1,14,1,11,2,9,1,24,1,9,4,17,1,15,1,17,1,16,1,9,1,8,1,13,1,8,1,13,1,8,1,6,1,8,1,13,2,8,1,10,1,17,2,13,1,30,1,28,4,30,3,28,4,8,1,17,108,16,3,17,4,16,1,17,11,16,3,11,1,16,2,11,1,16,1,9,3,11,1,9,1,13,1,9,1,11,3,16,1,9,1,16,1,11,1,16,1,9,3,16,7,11,2,16,1,8,1,9,1,8,1,9,1,8,1,9,2,13,2,9,8,13,1,8,1,9,1,6,1,9,4,16,4,9,4,13,2,9,1,13,6,8,1,9,1,16,6,17,4,16,5,11,1,9,1,11,1,13,3,6,1,9,1,13,1,9,3,16,1,9,3,11,3,9,4,13,1,9,1,13,2,30,1,13,2,9,1,11,1,16,1,11,3,9,1,8,1,9,2,13,1,8,1,13,1,6,1,29,1,7,1,30,1,6,2,30,1,7,1,28,1,30,1,13,1,11,1,8,1,13,1,8,1,11,1,16,3,11,1,13,6,6,1,13,4,28,1,13,3,9,2,13,1,9,1,13,2,9,4,16,1,11,1,16,4,17,1,9,1,6,1,30,1,13,1,30,2,6,1,16,4,17,3,16,4,11,1,16,8,11,6,16,1,11,2,16,4,11,1,17,1,16,1,17,1,11,1,16,6,11,2,9,1,8,1,9,1,11,1,9,4,16,1,10,1,9,1,13,1,8,1,30,1,6,1,13,1,6,3,13,1,29,1,6,1,29,1,13,3,7,1,6,1,13,3,7,1,29,1,9,1,13,2,6,1,13,1,6,1,7,1,6,2,13,6,6,1,13,4,6,1,8,1,6,1,8,2,9,1,13,1,9,1,8,1,9,1,13,1,8,2,13,1,8,3,10,1,9,1,8,1,9,3,10,1,9,2,16,2,11,1,17,1,11,2,16,4,11,4,16,1,17,10,16,1,17,1,16,5,17,5,16,2,17,2,16,1,17,2,16,3,17,1,16,5,11,1,16,6,11,1,16,2,11,1,16,3,17,2,11,1,17,1,16,3,17,1,16,4,11,4,16,2,9,1,16,4,11,1,9,1,11,2,10,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,17,1,16,1,17,1,16,4,17,3,11,2,16,1,11,1,16,1,11,1,16,1,11,2,17,1,16,2,11,2,16,4,11,1,16,1,17,1,16,7,17,1,16,2,11,1,16,2,11,1,17,1,11,1,16,1,17,1,11,2,16,2,9,1,16,1,9,2,11,6,16,2,17,1,11,1,16,1,17,1,11,1,16,1,11,1,9,1,16,1,11,1,9,2,16,1,9,1,16,1,11,1,16,3,11,2,9,1,11,1,10,2,9,2,11,1,10,1,11,1,10,2,11,1,10,1,9,1,16,1,9,5,8,1,13,2,9,1,13,1,9,1,13,2,9,1,13,4,9,1,13,2,8,1,6,1,13,1,9,1,13,1,9,1,13,1,6,1,13,3,8,1,6,1,9,2,13,2,8,1,9,1,8,1,13,1,11,1,8,2,13,1,8,2,9,1,13,1,8,2,13,1,9,2,13,1,9,1,13,2,9,1,11,1,9,1,11,2,9,1,11,1,9,2,11,1,9,1,11,2,9,4,10,1,9,1,16,1,9,1,11,4,16,1,11,3,16,1,11,3,13,1,9,6,16,1,9,6,10,1,8,1,11,1,9,1,13,1,9,4,11,1,9,1,11,1,9,1,11,1,9,4,10,1,9,2,16,2,17,4,16,1,17,3,16,1,11,1,17,1,16,2,11,1,9,2,16,1,10,1,11,1,16,1,11,5,9,1,16,1,11,1,16,3,10,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,11,3,16,1,17,5,11,3,13,1,9,2,13,1,9,1,10,1,8,1,13,1,6,1,13,1,7,1,13,2,30,1,28,1,30,1,29,1,6,1,30,2,6,1,30,1,8,1,24,1,7,1,30,1,13,1,28,1,13,2,6,1,8,1,13,1,9,1,11,3,16,1,11,1,10,1,9,1,11,1,9,1,8,1,11,1,9,1,13,6,8,1,9,1,8,2,9,2,13,3,8,1,9,5,7,1,13,2,8,1,9,1,13,2,9,3,11,1,16,1,11,1,16,1,17,1,16,2,17,1,11,1,17,1,11,2,16,1,11,2,16,5,11,2,16,2,9,1,17,1,16,1,11,1,16,1,11,1,16,1,9,2,11,2,9,3,11,1,10,1,9,1,8,1,9,1,10,1,9,6,13,1,8,1,9,1,8,1,13,4,9,2,11,1,9,3,13,1,9,1,8,1,9,5,8,1,13,1,9,1,13,1,9,1,11,2,9,2,8,1,9,2,13,4,9,1,13,1,9,2,13,2,9,1,13,1,8,1,9,1,8,1,13,2,6,1,13,5,29,1,13,2,6,1,13,3,8,1,13,3,7,1,9,2,13,3,6,2,30,2,13,1,33,121,5,662,33,2,30,2,5,283,33,1,28,1,6,1,9,2,8,3,24,1,8,1,13,1,6,2,9,1,14,1,12,2,10,1,9,1,10,1,9,1,12,1,24,1,9,1,11,1,9,1,12,1,10,1,15,1,17,1,14,1,9,1,7,1,6,1,7,2,6,1,13,1,10,1,17,2,13,1,8,1,13,1,8,1,29,1,6,1,29,1,28,22,29,1,17,2,16,1,8,1,9,1,10,1,17,1,12,1,17,1,8,1,12,1,6,1,30,2,6,3,10,1,24,1,14,1,8,1,28,4,13,1,14,1,8,1,28,1,}, {29,1,6,1,13,1,24,1,9,1,17,1,8,1,30,1,28,4,30,3,9,1,24,1,13,1,28,1,29,2,6,1,30,1,8,1,14,1,13,1,28,34,6,3,13,1,24,1,9,1,10,1,12,1,14,3,8,3,13,1,7,1,6,2,9,1,12,1,10,1,17,1,11,1,24,3,12,1,8,1,24,1,8,1,24,1,17,2,12,1,10,1,8,1,7,1,13,1,12,1,17,2,9,1,16,1,11,1,9,3,8,1,11,1,17,10,10,1,11,1,13,1,24,1,8,1,7,1,8,1,13,1,8,2,9,1,8,1,13,2,8,3,6,2,13,1,7,2,29,1,13,1,8,1,9,1,16,2,17,2,14,1,16,1,11,1,9,1,24,1,10,1,9,2,13,1,17,2,11,2,8,1,13,1,8,1,7,1,8,2,13,1,8,1,13,1,8,1,24,1,9,1,10,1,12,1,13,1,30,2,28,3,30,1,28,1,29,1,30,1,28,1,30,1,28,1,7,1,17,108,16,2,17,6,16,1,17,1,16,1,17,7,16,3,11,1,9,2,11,4,9,2,11,1,9,1,16,1,11,1,9,1,16,1,9,3,11,1,16,1,9,2,11,1,9,1,11,3,16,1,11,1,17,1,16,1,9,3,11,1,9,8,11,1,16,1,9,2,13,4,8,1,13,2,6,1,9,1,13,1,9,2,11,1,16,2,9,1,13,1,9,1,13,4,8,1,13,6,9,1,11,1,16,4,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,4,11,1,16,1,11,1,9,1,13,3,9,1,13,1,9,1,13,1,9,3,16,1,9,1,11,1,9,3,11,1,9,2,13,4,9,1,13,1,16,3,11,2,9,1,8,1,9,1,13,4,6,1,13,1,6,1,30,1,28,1,30,1,6,1,30,1,29,1,30,1,6,1,13,1,11,1,13,1,6,1,13,1,11,3,16,2,13,11,9,1,13,4,9,1,13,1,9,4,13,1,9,2,16,6,11,1,13,1,6,5,13,1,17,1,16,3,17,2,16,1,17,1,16,1,17,1,16,1,11,1,16,1,11,2,16,1,11,1,16,4,9,1,16,1,9,1,11,1,16,7,17,1,16,4,17,1,16,5,11,4,9,4,11,1,9,5,13,4,7,1,6,1,30,2,6,1,13,2,6,1,13,1,7,2,8,1,13,1,7,1,13,4,7,2,8,1,30,1,6,2,30,1,13,4,8,1,6,1,7,1,13,1,6,2,8,2,13,3,6,1,8,1,13,2,8,2,9,1,8,1,9,1,8,2,13,1,8,2,9,2,8,1,9,2,10,1,8,1,9,1,11,1,16,1,11,1,16,2,11,4,16,1,11,1,16,6,17,10,16,1,17,6,16,1,17,4,16,1,17,2,16,1,17,3,16,1,17,1,11,1,16,1,11,1,16,4,11,1,16,2,17,1,16,1,11,1,16,1,17,1,16,1,17,1,16,2,11,1,16,1,10,1,16,2,11,2,9,2,11,2,10,1,11,3,16,1,11,3,16,1,9,1,11,1,16,1,10,1,11,3,9,2,11,1,16,1,11,1,9,1,16,2,11,1,16,2,11,4,16,6,11,1,17,1,11,1,16,5,11,2,16,4,11,1,9,1,11,1,16,1,11,1,16,3,17,1,16,7,17,1,16,1,11,1,17,1,16,2,11,1,16,2,11,2,16,1,11,2,9,2,11,1,16,1,9,1,11,1,16,2,11,1,16,2,11,2,16,2,11,2,16,1,10,1,16,2,11,1,16,1,9,2,11,3,16,2,11,1,16,1,10,1,16,1,8,1,9,3,8,1,9,2,11,1,10,1,16,1,11,1,9,2,17,1,11,2,9,4,8,1,9,2,8,1,9,1,16,1,9,1,13,1,9,2,8,2,9,2,13,1,9,1,8,1,6,1,13,2,8,1,13,3,9,1,13,3,9,3,13,5,8,1,13,2,9,1,8,1,13,1,9,2,8,1,9,2,13,1,9,1,13,3,9,1,8,2,9,2,11,1,16,1,9,1,11,1,9,1,11,1,9,3,11,2,16,1,11,1,9,1,11,1,9,2,11,4,16,1,11,1,16,1,17,1,16,1,11,2,9,1,13,1,9,1,13,1,10,2,11,1,10,1,11,1,9,4,11,2,16,1,10,1,9,1,11,1,9,3,11,1,10,1,11,2,9,1,11,1,9,2,10,1,11,1,9,1,11,3,16,1,10,1,9,1,11,2,16,2,17,1,16,1,11,1,16,5,11,1,16,4,17,2,16,1,17,8,16,1,17,5,16,1,17,8,11,1,16,1,17,1,16,2,17,8,9,2,11,1,10,1,13,1,9,2,13,1,8,3,29,1,7,1,8,2,9,1,17,2,11,1,10,1,9,3,8,1,9,1,8,2,6,1,9,1,8,1,9,1,11,1,17,1,12,1,17,1,11,1,9,2,13,1,9,2,8,1,9,1,11,1,16,1,13,1,8,1,9,1,13,3,8,1,13,1,9,4,11,2,9,1,11,1,16,1,11,1,17,1,16,1,9,1,16,2,17,1,11,1,16,2,17,1,11,1,16,2,17,12,16,1,11,1,16,1,11,1,16,5,11,1,16,5,11,3,16,2,11,3,9,1,10,1,8,1,9,12,8,1,9,1,8,1,9,1,10,1,9,3,11,1,9,1,11,1,8,1,9,1,13,1,9,4,13,2,9,3,11,1,10,1,9,1,17,1,9,1,11,1,9,2,8,2,9,1,8,1,13,5,8,2,13,1,8,1,9,1,13,11,8,1,13,1,8,1,13,2,7,1,6,1,13,1,30,2,6,3,13,1,8,1,9,2,13,2,28,3,13,2,33,120,5,949,33,1,28,1,8,1,13,1,9,2,10,1,9,1,13,1,9,1,13,2,7,1,10,1,17,3,12,1,10,1,17,1,12,2,9,1,12,1,11,1,10,1,12,1,17,1,10,1,17,2,13,1,6,4,13,2,15,1,12,1,17,1,8,1,24,1,8,1,13,1,7,1,30,1,6,1,28,2,29,1,28,7,30,1,28,3,30,1,28,1,30,1,28,4,29,1,8,1,17,1,16,1,11,1,10,1,8,1,11,1,17,1,12,1,9,2,8,1,29,1,6,1,28,1,30,1,13,1,8,1,24,1,9,1,15,1,6,1,28,3,29,1,13,1,12,1,8,1,28,1,}, {30,1,6,1,8,1,9,1,24,1,10,1,13,1,30,1,29,1,30,1,29,1,28,1,29,1,30,1,6,1,9,1,8,1,13,1,6,1,28,1,6,1,8,1,13,1,8,1,15,1,8,1,30,1,28,7,29,1,28,26,30,1,13,2,9,1,10,1,11,1,10,1,17,1,16,1,17,1,10,1,8,1,13,3,29,1,7,1,24,1,17,1,12,1,17,1,13,1,9,2,24,1,8,1,9,1,13,2,9,1,17,2,24,1,9,1,8,1,6,1,13,1,11,1,17,2,9,1,16,1,17,1,10,1,9,1,8,1,9,2,17,5,16,1,17,5,10,1,24,1,8,4,24,1,8,1,13,1,8,1,10,1,8,1,7,1,8,1,13,3,24,1,6,1,30,1,7,2,6,1,13,1,10,1,9,1,10,1,14,1,17,2,16,1,12,1,9,1,15,1,13,1,8,1,9,1,13,1,16,1,17,1,16,1,15,1,9,1,8,1,9,1,8,2,13,1,8,1,13,2,8,1,9,3,12,1,13,1,29,1,30,1,28,1,30,1,28,1,29,1,28,1,29,1,28,1,6,2,28,1,6,1,12,1,17,115,16,1,17,8,16,4,11,1,16,1,11,2,9,2,11,2,16,2,9,3,11,3,9,3,11,1,9,1,16,1,11,1,9,1,11,2,16,6,9,2,11,2,9,2,11,1,13,1,9,6,13,8,9,1,13,2,9,2,16,3,9,1,13,3,9,1,13,2,9,1,13,1,6,1,13,1,6,1,13,1,9,1,11,2,16,5,17,1,16,1,17,3,16,2,17,1,16,5,11,2,9,1,13,2,9,1,13,1,9,8,11,1,10,1,9,1,8,1,13,1,9,1,13,4,9,1,11,1,16,1,9,1,16,1,11,1,9,3,8,1,13,1,6,1,13,1,7,1,29,1,13,2,30,2,29,1,30,2,28,1,30,1,9,1,17,1,11,1,9,1,28,1,9,3,16,1,9,1,16,1,13,6,6,1,13,2,6,1,13,10,8,1,9,1,13,1,9,3,16,1,17,1,16,4,6,2,30,1,28,1,30,1,6,1,13,1,16,8,17,1,16,4,11,1,16,2,11,3,16,4,11,1,16,2,11,2,16,3,11,1,16,1,11,1,10,1,11,2,16,1,17,1,16,3,17,1,9,1,11,2,9,9,10,1,9,2,6,1,13,1,29,1,6,1,30,1,6,2,29,1,6,1,7,1,8,1,13,1,7,1,13,4,6,1,8,1,30,1,13,1,6,3,13,1,6,1,7,1,29,1,13,2,30,1,6,1,13,1,7,2,13,1,6,1,13,1,7,1,13,3,7,1,13,1,8,1,13,1,8,1,9,1,8,2,10,1,8,3,9,1,8,1,13,1,9,1,8,1,9,1,8,1,10,1,9,1,11,1,9,2,16,2,11,1,17,1,16,1,11,1,17,1,11,2,16,2,11,1,16,3,11,1,16,1,17,17,16,1,17,2,16,1,17,5,16,1,17,1,16,1,17,1,16,3,17,1,16,4,17,4,16,2,17,1,16,2,9,1,11,1,16,1,10,1,16,1,11,1,16,1,11,4,16,1,11,2,16,2,9,2,11,1,9,1,11,3,9,1,11,1,16,1,11,1,9,1,16,2,11,5,16,6,9,1,16,3,11,1,16,4,11,2,17,1,11,1,16,1,9,1,17,1,11,1,10,1,16,4,11,1,16,7,17,1,16,2,17,1,16,11,17,1,16,1,11,1,16,1,11,2,9,1,10,1,11,1,17,1,16,1,9,1,17,1,11,1,16,3,17,1,11,1,17,2,16,3,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,17,1,11,1,16,2,11,1,16,3,11,1,9,6,10,1,16,1,11,1,16,1,11,2,16,2,11,1,10,1,9,3,16,1,11,1,10,1,11,2,16,1,11,1,9,8,13,1,8,1,13,3,8,2,13,1,9,1,13,2,10,1,9,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,13,2,9,1,13,1,9,3,13,1,9,1,8,1,11,1,8,1,13,1,8,1,9,1,13,1,11,2,9,6,11,1,9,2,16,1,10,1,16,1,11,2,16,1,9,2,13,2,9,1,11,1,16,1,11,2,17,2,11,1,16,1,11,1,13,2,9,2,11,1,16,3,11,2,10,1,9,2,11,3,16,1,10,1,17,1,9,1,11,2,16,1,11,1,16,1,11,2,16,3,11,1,9,1,17,1,11,1,16,2,11,2,16,1,9,1,11,1,9,2,17,3,11,1,17,1,16,3,17,7,16,1,17,3,16,2,17,1,16,1,17,19,16,1,17,3,16,1,17,8,11,1,16,2,17,1,11,1,8,1,13,2,9,4,11,1,17,4,12,1,11,2,17,3,16,2,9,1,16,1,17,2,9,1,16,1,10,1,9,1,10,1,8,1,9,2,11,2,17,2,16,3,9,1,11,1,16,2,9,1,16,2,11,1,16,1,17,2,16,6,11,3,16,1,9,1,13,1,11,1,9,1,8,1,9,1,11,1,9,2,13,1,8,1,11,1,9,1,6,1,11,1,16,1,17,2,11,1,16,4,17,16,11,1,17,1,11,1,9,1,11,1,9,4,11,1,8,1,13,2,8,1,13,2,6,1,8,1,11,3,8,1,13,1,9,2,8,1,13,1,9,2,10,1,11,1,9,1,8,1,9,2,11,1,13,3,8,1,9,2,11,5,9,9,13,5,9,1,8,1,9,1,13,2,8,1,9,1,13,1,9,1,13,2,8,1,13,4,9,1,6,1,8,2,13,1,9,1,13,1,6,1,13,1,29,1,6,1,13,2,8,2,11,1,8,1,13,1,6,1,28,1,13,1,6,1,9,2,33,1,5,1,33,116,5,949,13,1,28,1,13,1,9,2,8,1,9,2,8,1,9,1,30,1,8,2,9,1,17,2,16,1,17,2,10,1,9,2,12,1,10,1,12,1,9,1,12,1,14,1,15,1,12,1,17,1,24,1,13,1,7,1,6,1,30,1,8,1,13,1,9,1,17,1,9,1,8,1,12,1,13,1,9,1,8,1,28,2,30,2,29,1,28,9,30,1,28,3,30,1,28,2,6,1,28,1,6,1,13,1,17,2,9,3,8,1,17,2,11,1,24,1,8,1,6,2,30,1,6,2,7,1,13,1,10,1,9,1,6,1,7,1,30,1,29,1,8,1,11,1,10,1,8,1,28,1,}, {6,1,29,1,6,1,8,1,10,2,6,1,30,1,28,1,29,1,28,1,29,1,28,2,30,1,8,1,12,1,8,1,6,1,30,1,7,1,29,1,6,1,8,1,9,1,6,1,29,1,28,20,30,2,28,11,29,1,7,2,24,2,15,1,9,1,17,1,9,1,17,2,9,1,6,1,13,1,6,1,8,1,6,2,8,1,12,1,9,2,7,1,9,1,8,1,9,1,17,1,9,2,8,2,17,2,10,1,24,1,8,1,7,1,13,1,12,1,17,2,10,1,16,1,12,1,17,1,9,1,8,1,10,1,16,1,17,10,16,1,8,1,24,3,13,1,6,1,24,1,8,2,6,1,8,2,24,1,6,1,8,1,6,1,8,1,29,1,13,1,29,1,13,1,29,1,13,1,6,1,9,1,10,1,17,4,10,1,9,1,24,1,9,1,8,1,9,1,13,1,9,1,12,1,10,1,16,2,13,1,9,2,13,1,24,1,13,2,8,1,13,1,8,1,13,1,9,1,12,1,17,1,13,1,29,1,28,1,30,2,28,5,29,1,30,1,28,1,13,1,17,107,16,1,17,5,16,1,17,7,16,1,17,2,16,6,11,2,13,1,9,1,16,1,9,1,16,1,11,1,16,1,11,4,9,4,11,4,16,4,17,1,16,5,11,1,16,1,11,2,16,1,9,1,11,1,16,1,11,1,9,3,13,1,9,1,13,3,6,1,13,1,9,1,13,2,8,1,13,1,9,2,16,3,9,2,13,2,9,2,13,5,6,2,9,2,16,2,17,1,16,4,17,1,16,3,17,1,16,2,17,1,16,5,11,2,9,1,13,3,9,6,11,1,9,7,13,1,9,1,13,1,8,1,13,1,9,1,11,1,16,2,11,1,16,1,11,1,8,1,13,2,8,1,13,2,30,1,6,1,13,1,7,1,6,2,29,1,28,1,30,1,6,1,13,1,16,1,9,2,13,1,6,1,13,2,9,2,16,1,11,1,13,1,6,1,13,12,9,1,13,3,9,2,13,4,9,1,16,1,17,1,16,3,11,1,9,1,6,1,30,1,6,1,30,2,13,1,9,1,16,7,17,4,16,2,11,1,16,3,11,1,9,1,16,1,11,1,16,4,17,1,16,8,11,1,16,2,17,1,16,1,17,1,16,2,11,1,9,1,11,1,9,6,11,1,9,2,11,1,9,3,11,1,9,1,13,1,6,2,7,1,6,2,13,1,29,1,13,2,9,1,29,1,8,1,13,4,6,2,7,1,6,2,13,1,6,1,13,2,7,1,13,1,29,1,13,3,7,1,13,4,6,1,13,2,8,1,13,1,9,2,13,1,8,1,9,1,8,4,13,1,8,3,9,1,8,1,9,1,13,1,9,1,10,1,9,1,11,1,9,1,16,3,10,1,11,1,16,1,10,1,16,1,10,1,17,2,16,1,17,1,11,1,16,4,17,31,16,2,17,6,16,1,17,2,16,2,11,1,16,1,11,1,16,3,11,1,16,1,11,2,17,1,11,1,9,1,16,2,11,1,16,1,11,2,16,2,11,1,16,1,11,4,16,1,9,1,16,1,11,2,16,4,11,3,16,5,17,1,11,2,16,3,11,1,16,2,11,1,16,2,11,2,16,1,11,1,16,2,11,2,16,1,17,1,16,2,17,1,16,1,11,1,16,1,11,1,16,1,11,1,16,4,9,1,11,1,16,1,17,1,16,6,11,2,16,2,11,1,16,1,11,1,16,3,11,1,16,1,11,2,16,1,9,1,17,1,9,1,17,1,16,1,11,1,16,14,11,1,16,2,17,1,16,2,11,1,9,2,11,1,10,2,16,1,10,1,11,1,9,1,10,1,9,2,16,1,11,4,16,1,9,3,11,2,17,1,9,3,8,1,11,1,8,1,9,3,8,1,9,4,13,1,9,1,8,1,13,2,9,1,13,1,9,2,8,1,9,1,13,2,9,1,13,2,9,1,13,1,8,2,7,1,13,2,8,1,9,2,13,1,9,2,13,1,11,1,9,2,13,1,9,2,13,1,9,4,10,1,11,2,16,2,11,1,16,3,9,1,16,1,9,2,11,1,16,2,17,1,16,3,11,4,9,4,11,1,16,2,11,4,10,1,11,3,17,1,16,1,11,2,16,1,11,2,16,1,11,1,16,2,11,2,16,7,11,1,16,1,11,1,17,1,11,1,16,1,9,1,11,2,17,81,16,4,17,3,16,1,17,1,11,1,16,1,17,4,16,2,11,1,16,1,11,2,16,2,17,1,16,2,11,1,9,3,10,1,8,1,9,3,8,2,13,2,9,1,8,1,9,4,8,1,13,1,9,2,11,2,9,4,16,1,11,1,9,2,11,1,16,1,11,1,16,1,10,1,11,1,16,1,11,1,9,1,11,2,16,1,9,1,11,1,17,1,11,2,16,1,11,1,8,1,13,2,9,1,7,1,30,2,13,1,30,1,28,1,13,1,8,1,30,1,13,1,28,3,8,1,17,1,13,1,30,1,13,2,7,1,9,1,13,1,9,4,8,3,9,1,13,3,10,1,8,3,13,1,9,3,11,1,10,1,13,1,11,1,9,1,13,1,9,1,11,1,30,1,13,1,6,1,30,1,9,1,13,2,7,1,9,3,13,3,9,2,13,1,9,2,6,1,9,1,6,2,9,1,11,2,9,1,13,3,9,1,11,1,13,1,10,1,11,1,13,1,16,3,10,1,8,1,9,3,13,1,9,4,11,1,13,1,9,2,13,2,9,1,13,2,33,1,28,2,33,105,5,949,30,1,28,1,13,1,11,1,9,1,8,1,11,1,8,1,24,1,8,2,7,1,13,1,10,1,12,1,17,2,9,1,8,1,12,2,24,1,10,1,9,2,8,1,15,2,12,1,15,2,9,1,6,1,7,1,6,1,29,1,8,1,24,1,12,1,17,3,9,1,8,1,10,1,24,1,6,2,30,1,29,1,28,1,30,1,28,2,30,1,28,5,30,1,28,4,30,3,28,1,29,1,9,1,17,3,8,2,9,1,16,1,17,1,24,1,8,1,24,1,8,1,29,1,6,1,30,1,6,1,7,1,9,1,15,1,13,1,29,1,28,1,30,1,13,1,8,1,17,1,9,1,8,1,28,1,}, {30,1,29,1,13,1,8,1,12,1,9,1,13,1,29,1,28,2,29,1,28,2,29,1,7,1,9,1,10,1,6,5,7,1,8,1,11,1,13,1,30,1,28,32,6,1,28,1,6,1,7,1,24,1,12,1,10,2,12,1,17,2,14,1,10,1,13,1,8,1,13,3,6,1,8,1,12,1,16,1,8,2,13,1,8,1,10,1,9,2,24,1,8,1,24,1,17,3,7,1,13,3,16,1,17,6,16,1,9,1,10,1,17,6,12,1,17,5,9,2,13,1,9,1,10,2,9,1,24,1,8,1,9,1,13,1,8,1,13,1,6,1,13,2,8,1,7,1,13,1,7,1,8,1,13,1,8,1,7,1,15,1,17,5,16,1,9,1,8,1,13,1,24,1,13,1,8,1,11,3,17,1,16,1,13,1,8,2,9,1,10,1,9,1,13,3,8,1,9,2,11,1,17,1,13,1,30,2,28,2,30,1,28,2,30,2,6,1,28,1,30,1,6,1,17,117,16,1,17,2,16,5,17,1,16,4,8,1,9,1,11,3,16,1,11,1,16,1,11,1,16,2,9,1,11,2,9,3,11,2,16,4,11,1,17,2,16,1,17,1,16,7,11,1,9,3,11,1,9,1,8,1,13,6,6,1,13,6,11,2,16,1,11,2,9,1,8,1,13,5,8,1,13,3,9,4,16,4,17,1,16,3,17,1,16,2,17,2,16,1,17,3,16,3,11,1,16,1,11,1,9,2,13,2,9,1,13,3,11,1,9,7,8,1,13,2,9,1,13,1,8,1,11,1,16,1,11,2,9,3,13,3,7,1,6,8,30,1,6,1,28,1,13,1,11,5,13,1,6,1,13,2,9,2,13,6,6,1,13,1,6,1,13,3,6,1,13,6,9,1,13,1,9,2,8,1,9,1,11,2,16,4,9,2,6,2,30,1,6,1,30,1,13,1,9,1,11,3,16,5,17,5,16,2,11,1,16,1,11,1,16,2,11,1,16,1,11,1,16,2,17,1,11,1,16,4,17,1,16,4,11,1,17,1,16,2,11,2,16,1,10,2,11,1,9,1,11,1,10,1,9,2,11,1,9,2,11,1,9,2,8,2,11,1,9,1,13,1,6,3,13,1,7,1,6,2,29,1,28,1,13,1,6,1,7,1,6,1,7,1,13,1,29,1,7,1,6,4,13,2,6,1,13,4,30,1,13,1,30,1,13,1,29,1,13,1,8,1,6,1,13,1,6,1,13,2,9,1,8,1,13,1,8,2,9,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,9,5,10,1,9,2,16,2,9,1,16,1,17,1,11,1,16,1,17,1,16,1,9,1,16,7,11,1,16,1,17,15,16,3,17,1,16,1,17,11,16,1,17,6,16,1,17,2,16,2,11,1,16,8,11,3,10,1,11,2,17,1,16,1,11,1,9,1,17,1,11,3,16,1,11,3,9,2,11,1,9,2,16,1,11,1,9,2,11,1,16,2,11,3,16,2,11,1,17,1,16,4,11,1,16,1,11,2,16,1,11,2,10,1,16,1,11,1,16,3,17,1,16,7,11,1,16,12,17,1,16,2,17,1,11,1,16,6,17,1,11,1,17,1,16,12,11,4,16,4,11,1,17,1,16,2,11,3,16,2,17,1,11,1,10,1,11,1,9,2,16,1,11,3,9,1,11,4,16,1,11,3,16,1,9,1,11,1,9,1,17,1,9,1,11,1,16,1,11,1,9,5,13,1,9,3,13,1,11,1,10,1,9,3,13,1,9,1,8,1,11,2,9,2,11,1,9,1,8,1,13,2,9,2,8,1,9,2,8,1,13,1,8,1,13,1,8,1,13,1,11,1,9,1,8,1,9,3,8,1,11,1,8,1,13,1,9,3,13,3,9,2,8,1,9,1,11,2,9,1,11,1,16,1,9,2,11,1,10,1,11,1,9,1,11,1,9,1,16,1,9,2,11,1,10,1,9,2,10,1,9,1,10,2,11,1,16,1,17,1,16,2,17,1,11,1,16,1,11,2,16,1,11,2,16,1,11,2,16,1,11,1,17,1,11,3,16,1,11,1,16,1,11,4,10,1,11,1,16,2,11,1,16,1,11,2,16,1,11,1,17,31,16,1,17,1,16,1,17,11,16,2,11,1,16,1,17,1,11,1,17,1,16,1,17,5,16,1,10,1,11,3,8,1,9,1,11,1,16,3,9,1,17,1,11,1,17,1,16,1,10,1,17,1,9,2,11,1,9,1,11,1,9,1,10,1,11,1,16,1,17,2,16,1,11,1,9,1,11,3,16,1,9,1,16,2,9,1,16,1,11,1,16,1,11,2,16,1,11,2,9,2,16,1,11,1,9,5,16,1,9,1,11,1,9,3,11,1,13,1,9,1,11,2,13,1,16,1,10,1,17,1,11,1,16,2,17,1,16,1,17,2,11,1,16,1,17,1,16,1,11,1,17,1,16,2,17,1,16,4,11,1,16,1,11,1,9,1,11,1,17,1,16,1,17,3,16,1,10,1,16,1,11,1,9,2,29,1,13,4,6,2,13,1,6,1,13,2,9,1,13,2,7,2,30,3,6,6,28,2,7,1,28,2,30,1,13,1,6,1,9,1,13,1,29,1,13,1,6,1,8,1,13,3,30,2,28,1,30,1,6,2,30,1,13,1,28,1,30,1,13,1,7,2,30,2,28,1,30,1,6,1,29,1,30,1,28,7,30,1,6,2,13,2,29,1,30,1,6,1,30,1,13,5,6,1,9,4,11,1,9,2,16,1,9,1,13,1,11,2,13,1,9,1,13,2,8,1,16,1,17,1,16,1,11,1,13,1,28,1,13,1,6,1,13,1,28,1,30,1,28,2,13,1,33,1,5,15,33,1,5,1,33,1,5,1,33,2,5,2,33,6,5,1,33,69,5,948,30,1,28,1,6,1,10,1,9,5,8,1,7,1,13,2,12,1,17,4,10,1,12,2,9,1,13,1,9,1,24,1,9,1,24,1,12,1,9,1,17,1,9,1,24,1,13,1,29,1,6,1,13,1,6,1,13,1,9,1,12,2,8,1,11,1,9,2,10,1,13,1,6,1,30,1,28,1,30,3,29,1,28,1,30,2,28,3,29,1,28,2,30,1,28,1,6,1,28,1,29,1,28,1,13,1,8,1,17,2,9,2,8,1,9,1,17,1,11,1,9,1,8,1,13,1,24,1,29,1,6,1,30,1,6,1,8,1,9,1,24,1,8,1,30,1,28,2,24,1,8,1,15,1,10,1,8,1,29,1,}, {6,1,13,1,6,1,8,1,17,1,11,1,9,1,30,1,29,1,28,1,30,1,28,1,7,1,29,1,7,1,11,1,8,1,9,1,7,1,13,1,7,3,8,1,15,1,12,1,6,1,28,14,29,1,28,18,30,1,6,1,7,1,8,1,24,1,9,1,10,2,16,1,14,1,17,1,12,1,8,1,13,1,8,1,6,1,7,1,13,2,10,1,12,1,16,1,8,1,9,1,24,1,12,1,9,1,12,1,11,1,24,1,10,1,17,2,13,2,8,2,13,1,17,3,12,1,10,2,9,2,24,1,9,1,12,1,17,11,11,1,16,1,8,1,9,1,13,1,12,1,8,1,24,2,9,1,13,1,6,1,13,1,8,1,13,1,8,2,9,2,8,1,7,1,10,2,12,1,10,1,16,1,17,4,9,3,11,1,13,1,10,1,9,1,8,1,10,1,17,1,12,1,9,1,8,3,13,2,7,1,13,2,8,2,9,1,8,1,17,1,16,1,8,1,28,1,30,1,28,1,30,1,28,3,30,3,6,2,29,1,17,121,16,7,11,1,16,1,13,1,11,1,9,1,11,1,9,1,16,5,11,2,16,1,11,1,9,3,11,1,16,3,11,1,16,3,17,1,16,2,17,2,16,3,11,1,16,1,11,4,9,1,11,1,13,1,9,1,13,3,9,1,13,2,9,1,8,1,9,1,13,1,9,1,13,1,11,1,16,2,11,1,16,1,9,1,13,3,9,1,13,7,11,1,9,1,16,1,17,1,16,7,17,1,16,2,17,3,16,1,17,2,16,1,17,1,16,1,11,1,16,3,9,1,13,4,9,1,13,3,9,1,13,1,10,1,13,3,9,1,13,2,9,2,11,5,9,1,11,1,13,3,8,1,6,2,7,1,30,1,6,1,13,1,6,1,30,4,13,1,11,2,9,1,11,1,9,2,13,2,9,1,13,2,11,1,9,1,13,1,6,1,7,1,13,7,9,1,13,7,9,1,13,2,8,1,9,1,13,1,9,1,16,4,11,1,9,1,13,1,30,1,6,1,30,1,13,1,6,1,13,1,11,1,9,1,16,2,11,2,16,4,17,4,16,1,17,1,16,1,9,1,16,1,11,1,16,1,9,1,16,1,17,1,16,6,17,1,16,5,17,1,11,1,17,1,11,3,16,1,11,1,9,2,11,1,9,2,10,1,11,1,9,6,10,1,8,1,9,4,6,1,7,1,6,1,29,1,6,1,13,1,6,1,13,9,6,1,7,1,6,2,13,3,29,1,7,1,6,1,13,1,6,2,13,1,6,2,13,2,6,1,13,2,6,1,8,1,13,1,8,1,6,1,8,1,13,1,8,1,9,4,13,3,8,1,9,1,13,1,9,3,13,1,9,3,11,3,16,1,10,1,11,1,17,1,16,1,17,1,11,2,17,3,16,1,17,1,16,2,9,1,17,21,16,1,17,9,16,1,17,2,16,1,17,6,16,6,17,3,16,2,11,1,16,3,11,1,16,1,9,1,16,1,11,2,16,3,11,6,9,1,11,1,9,1,11,1,10,1,16,1,11,2,16,1,11,1,16,2,11,2,16,1,11,2,16,7,11,1,16,3,11,3,16,1,17,1,11,2,17,1,16,1,17,1,16,1,17,3,16,1,17,1,16,1,17,6,16,2,17,3,16,3,17,1,16,4,11,1,16,2,11,1,16,3,11,1,16,2,11,1,17,1,16,4,11,2,16,3,11,1,16,3,11,1,16,2,11,2,16,1,11,1,16,4,11,1,16,1,11,1,10,1,11,1,9,1,16,1,11,3,9,1,11,3,16,1,11,1,16,7,9,1,11,1,13,1,9,1,16,1,9,4,10,1,11,1,9,1,11,1,13,2,11,1,13,1,9,3,11,1,9,5,11,1,8,1,9,1,13,1,9,1,13,1,9,1,11,1,9,1,8,1,11,1,9,1,8,1,9,3,8,1,9,2,8,1,9,1,13,1,9,4,10,1,11,1,9,1,8,1,9,4,11,1,9,13,11,1,9,2,10,2,9,1,11,1,17,1,16,1,9,1,16,2,17,1,11,1,10,1,11,1,16,1,11,1,10,1,11,2,9,1,10,1,11,1,9,2,13,1,11,1,9,6,11,1,9,1,11,1,10,1,11,1,9,1,16,1,17,1,16,1,17,9,16,1,17,1,16,1,17,2,16,1,17,1,11,1,16,1,11,1,17,2,11,3,9,1,17,1,9,2,11,1,16,1,11,1,10,1,11,1,9,1,11,1,16,1,9,1,10,1,9,5,11,4,9,2,11,1,9,1,10,1,9,1,11,2,9,4,13,2,9,9,11,1,9,1,11,2,9,2,10,1,16,1,11,1,16,1,10,1,9,1,11,1,10,1,9,1,11,1,9,2,16,1,11,4,16,2,9,1,11,2,9,3,11,1,9,1,16,1,9,2,11,1,9,2,11,2,9,3,16,1,9,2,11,1,16,2,11,2,9,3,11,1,10,1,16,1,9,1,11,1,16,3,11,1,16,1,11,2,17,11,16,1,17,5,16,2,17,1,16,1,11,2,10,1,16,2,17,1,11,1,16,2,17,1,16,2,9,1,10,1,16,1,11,1,10,1,16,3,9,1,11,1,9,4,11,1,9,3,11,1,9,5,11,1,9,1,11,1,9,4,11,2,9,4,11,2,9,2,11,1,16,2,11,1,17,1,11,1,16,1,9,1,11,1,9,5,11,1,9,5,8,2,13,1,8,1,9,2,10,1,11,1,9,2,11,1,13,1,9,5,8,1,9,2,8,1,11,1,9,6,13,1,9,2,8,1,9,2,13,1,9,4,11,1,9,1,11,1,10,1,16,1,17,1,16,1,9,1,17,1,16,1,17,2,16,1,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,5,16,1,17,8,16,4,17,1,16,3,17,1,16,1,17,2,16,1,5,1019,33,1,28,2,9,1,8,1,9,3,24,1,13,2,30,1,8,1,13,1,10,1,9,1,17,1,16,1,9,2,12,1,17,1,12,1,24,1,8,1,12,1,15,1,9,1,10,1,17,3,13,1,6,1,28,1,29,1,6,1,8,2,15,1,11,2,8,3,9,2,6,1,30,1,8,2,6,2,30,1,6,1,28,1,29,2,13,1,6,1,30,1,29,1,28,3,30,1,28,2,30,1,28,1,6,1,11,1,17,1,16,1,9,2,13,1,11,1,17,3,24,2,7,1,29,1,6,1,29,2,6,1,9,1,15,1,9,1,30,1,28,2,8,1,24,1,9,1,24,1,13,1,6,1,}, {30,1,13,1,7,1,11,1,10,1,9,2,13,1,28,2,30,1,28,1,6,1,28,1,13,1,8,1,9,2,6,5,8,1,9,2,6,1,28,33,13,1,6,1,28,1,8,1,24,1,17,1,12,2,17,4,12,1,9,1,24,1,7,3,8,1,12,2,11,1,9,1,24,1,8,1,9,1,16,2,9,1,12,1,9,1,17,3,12,1,8,1,24,2,12,1,17,2,12,1,10,1,16,1,12,1,24,2,8,1,16,1,17,10,11,1,13,1,10,1,9,1,13,1,9,1,15,1,10,1,9,1,8,2,13,1,8,1,13,1,8,1,24,1,8,5,6,1,8,1,24,1,13,1,17,7,9,1,13,1,24,1,9,1,11,1,24,2,10,1,17,1,10,2,8,1,7,1,13,1,8,2,13,1,7,1,8,1,24,1,8,1,9,2,17,1,9,1,13,1,30,3,6,1,30,2,6,1,28,1,30,2,29,1,28,2,9,1,17,119,16,6,11,1,16,2,11,2,9,3,11,1,9,1,16,1,11,2,16,3,11,1,16,1,9,1,11,2,16,2,9,1,16,3,17,1,16,1,17,1,16,2,17,2,16,3,11,1,16,5,11,1,9,5,13,1,9,6,11,1,16,3,11,2,9,1,8,1,9,1,13,1,9,1,13,7,9,1,16,4,11,1,16,1,17,1,16,1,17,1,16,4,17,2,16,2,17,5,16,5,11,1,16,1,11,1,13,6,9,3,8,2,13,5,9,2,11,5,13,1,9,2,13,2,7,2,13,1,6,1,29,1,7,1,6,1,30,1,6,2,7,1,13,1,11,1,9,3,11,1,9,1,11,1,9,1,13,7,6,1,13,4,30,1,13,1,6,1,13,2,9,1,13,4,9,1,13,2,9,2,13,1,9,3,16,4,9,2,30,3,28,1,6,1,28,1,9,2,13,1,11,1,16,1,11,3,16,3,17,6,16,2,11,1,16,2,11,1,16,8,17,1,16,6,17,1,16,1,11,1,16,1,9,1,11,2,16,1,9,2,11,3,9,1,13,1,11,1,9,2,11,1,9,4,8,1,9,3,13,1,6,1,13,1,7,1,29,1,6,5,13,2,6,1,13,2,6,1,13,3,7,1,6,1,13,1,8,1,13,1,7,1,6,1,13,1,8,1,6,2,13,2,30,1,8,1,13,2,7,1,8,1,13,1,9,1,6,1,8,2,9,1,13,1,8,1,13,1,8,2,9,1,13,1,9,3,16,1,9,2,13,1,11,1,9,1,11,3,10,1,16,1,11,1,16,6,11,3,16,1,17,1,16,1,11,2,16,1,17,17,16,1,17,21,16,4,17,3,16,2,17,1,16,5,11,2,16,4,11,1,16,4,10,1,11,5,9,1,11,2,16,2,11,1,16,1,11,2,16,4,17,1,11,2,16,5,11,1,17,1,16,2,11,1,16,2,17,1,16,2,10,1,17,4,16,1,17,5,16,2,17,8,16,9,11,1,16,2,11,1,16,1,11,1,9,1,16,1,11,1,16,6,11,1,16,3,11,1,16,1,11,1,9,2,11,3,9,1,16,1,11,1,9,1,11,1,16,9,10,1,16,1,11,3,17,1,16,2,11,1,17,3,16,1,11,1,17,2,16,1,17,1,16,2,9,2,11,1,10,1,11,3,9,2,10,1,11,1,9,1,10,1,9,4,13,1,8,1,9,1,11,1,9,1,11,1,9,6,11,2,13,1,9,1,11,1,8,1,9,5,10,1,9,2,10,1,9,4,11,1,9,6,16,1,10,1,11,2,9,3,11,1,9,7,10,1,11,1,10,1,11,1,9,1,11,2,16,1,9,1,10,1,11,1,10,1,11,1,16,1,17,2,16,3,9,1,11,2,8,1,9,1,10,1,11,2,9,1,11,4,9,1,11,1,17,1,11,1,16,2,11,1,16,1,11,2,16,2,11,1,16,1,11,1,8,1,9,2,11,1,8,1,10,1,9,1,11,1,9,3,11,2,9,1,11,1,9,1,11,1,9,2,16,1,11,1,9,3,11,2,9,4,10,1,9,3,8,1,11,2,9,4,11,1,9,3,16,1,9,1,11,1,16,1,11,2,16,1,9,1,11,5,9,1,16,1,11,1,9,4,13,1,9,1,10,1,9,1,11,1,9,1,16,1,11,2,9,1,16,1,11,2,9,1,10,1,11,1,9,1,16,1,11,2,9,1,11,1,9,1,16,1,11,1,16,2,17,1,10,1,9,2,16,1,9,1,17,1,16,1,11,1,16,4,11,1,16,1,11,1,16,3,11,1,16,1,17,1,16,1,17,2,16,1,11,1,16,3,11,1,16,1,17,1,16,1,11,1,16,1,17,1,16,2,17,2,16,1,17,5,16,1,17,4,16,1,17,1,16,1,17,3,16,1,17,5,16,2,17,2,16,1,11,1,17,1,16,1,17,4,16,5,10,1,16,7,17,1,16,1,17,1,11,3,9,1,10,2,11,1,9,1,11,1,10,1,11,1,8,1,11,1,8,1,11,2,16,1,9,3,11,2,10,1,11,1,16,1,11,2,10,1,17,3,9,1,11,1,9,1,11,2,9,1,11,1,9,3,10,1,16,1,9,8,11,2,9,1,8,1,9,2,16,1,9,1,11,1,9,3,8,1,11,1,9,1,11,1,9,3,16,1,9,3,10,1,9,9,11,1,8,1,9,1,11,2,9,2,16,2,17,3,16,1,9,1,11,1,17,1,11,1,16,1,17,1,9,1,17,2,16,3,11,1,16,1,11,2,9,1,16,3,11,1,13,2,8,1,16,2,11,1,16,1,9,1,16,2,11,1,16,1,17,1,16,2,11,2,16,2,17,1,16,2,5,17,16,3,5,7,17,3,5,41,33,1,5,11,33,1,5,3,33,1,5,924,28,3,13,2,8,2,24,1,8,2,9,1,6,1,13,1,8,2,17,2,12,1,10,1,12,2,9,2,15,1,9,1,10,1,15,1,12,1,9,1,8,1,17,1,9,1,13,1,6,2,13,1,6,1,13,2,9,1,12,1,9,1,8,1,9,2,8,3,13,1,29,1,6,1,13,2,6,1,7,2,6,2,7,1,30,1,7,1,13,1,8,1,7,1,29,1,28,1,29,2,30,2,28,1,12,1,14,1,17,1,11,1,9,1,8,1,9,1,17,1,11,1,12,1,24,1,6,1,29,1,7,1,30,2,29,1,13,1,24,1,15,1,9,1,30,1,28,1,29,1,30,1,13,1,8,2,13,1,6,1,}, {29,1,13,2,12,1,9,1,12,1,24,1,30,1,28,1,6,1,30,1,29,1,30,2,28,1,8,1,10,1,24,1,7,1,30,1,6,1,13,1,30,1,8,1,15,1,8,1,13,1,28,15,30,1,28,17,6,1,13,1,6,1,13,1,9,1,10,2,12,1,11,1,17,3,24,1,8,1,24,1,13,3,8,1,12,1,17,1,11,1,8,2,6,1,8,1,13,1,10,1,24,1,8,1,10,1,16,1,17,1,10,1,13,1,8,3,12,1,17,2,16,1,8,1,9,2,8,1,11,2,9,1,17,11,9,1,16,1,9,2,8,1,12,1,9,1,8,1,12,1,13,1,9,1,8,1,24,1,8,2,7,1,6,1,8,1,29,1,13,1,24,1,8,1,13,1,8,1,9,1,12,1,16,1,17,4,12,1,9,1,10,1,13,1,24,1,8,2,10,1,17,2,12,1,10,1,13,2,9,1,13,1,8,2,29,1,8,1,13,2,12,1,9,1,10,1,6,1,29,1,30,1,28,1,30,3,29,1,28,1,6,1,29,1,28,2,30,1,11,1,17,117,16,7,11,1,9,1,11,1,16,1,11,1,9,6,11,2,16,1,11,2,16,1,11,1,16,1,9,1,16,1,9,1,16,1,11,2,16,1,11,2,17,2,16,2,17,1,16,1,17,2,16,2,17,1,16,6,11,1,16,1,11,1,9,1,11,1,9,4,16,1,11,1,16,4,11,3,9,1,13,2,9,1,13,7,9,1,16,4,11,1,17,1,16,12,17,1,16,1,17,4,16,1,17,1,16,3,11,1,16,1,9,2,13,3,9,1,13,1,9,1,13,9,10,1,9,1,16,2,11,1,9,1,8,1,13,3,29,1,13,1,6,1,30,1,29,1,6,3,30,1,28,2,6,1,8,1,11,1,13,1,9,1,13,1,9,2,11,1,9,1,13,6,7,1,13,6,6,1,13,1,6,1,13,7,9,1,13,1,11,1,13,1,9,2,11,1,16,4,11,2,13,1,6,1,30,3,13,2,9,2,13,1,9,1,16,1,9,2,11,1,16,2,17,9,16,1,11,1,16,2,11,2,16,1,17,1,16,2,11,1,16,1,17,1,9,1,11,1,9,1,16,2,11,1,17,1,16,1,9,1,11,1,16,1,11,2,9,1,11,7,9,1,10,1,9,5,10,1,9,2,10,1,9,1,8,1,13,1,6,1,7,1,6,1,13,3,6,1,29,1,13,1,6,1,13,2,6,1,7,1,8,1,13,4,6,1,13,1,29,1,30,1,8,1,28,1,8,1,13,1,6,1,7,1,13,2,6,1,7,1,13,1,6,1,8,1,13,2,8,1,13,2,9,1,8,1,13,2,8,1,9,1,13,2,9,1,13,1,9,2,8,1,9,1,11,1,9,1,11,4,16,1,11,1,17,1,16,1,11,2,16,1,11,3,17,1,16,1,17,1,16,5,11,1,16,1,17,40,16,2,17,3,16,4,17,1,16,11,11,2,16,1,11,3,16,3,10,1,17,1,11,2,16,1,11,2,16,1,11,2,16,5,11,1,16,14,11,1,17,13,16,1,17,1,16,1,17,1,16,1,11,1,16,1,17,2,16,3,11,2,16,2,11,3,17,1,11,1,16,4,11,1,16,1,11,1,16,1,11,9,9,1,11,1,16,1,10,1,11,2,9,1,16,1,11,1,9,1,16,4,17,1,16,3,11,2,17,3,16,1,17,1,16,1,17,3,11,1,17,1,16,1,17,1,11,1,17,1,11,1,16,1,11,1,10,1,11,2,10,1,11,1,9,3,11,1,9,1,10,1,11,2,10,2,11,2,9,1,10,1,9,2,11,1,9,5,11,1,13,1,11,1,9,1,8,1,9,4,10,1,9,3,11,1,9,2,8,1,9,1,11,1,9,1,11,2,9,1,10,1,9,1,16,1,11,2,9,1,11,1,16,1,11,3,9,1,10,1,11,1,10,1,11,3,13,1,11,1,10,1,16,1,9,1,11,6,9,2,11,1,16,1,9,1,17,9,11,1,17,9,11,1,16,1,17,1,9,1,11,1,9,1,13,2,8,1,9,1,6,1,9,1,13,2,8,2,9,2,11,1,9,2,10,1,9,6,11,1,9,1,11,1,9,1,8,1,9,2,8,1,11,1,8,2,9,6,11,1,9,2,8,2,9,2,11,1,9,3,10,1,11,2,9,1,16,2,17,1,11,2,16,1,11,2,17,1,16,1,11,1,16,6,17,1,16,1,17,3,16,1,11,1,16,1,17,1,16,2,11,1,16,2,11,1,16,4,11,2,17,1,16,1,10,1,16,4,17,2,16,2,17,4,16,1,17,1,16,1,17,4,16,1,17,1,11,1,17,1,16,1,17,6,16,1,17,5,16,1,17,3,16,1,17,1,16,1,17,3,16,1,17,11,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,5,17,2,16,1,17,3,16,1,17,1,16,5,17,1,16,3,17,5,16,1,11,1,17,1,16,3,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,9,1,16,1,9,1,11,1,9,2,16,1,11,1,16,2,11,3,9,1,11,4,16,2,10,1,9,1,16,1,9,3,11,2,9,10,11,3,9,1,11,1,9,3,11,1,9,3,11,1,8,1,10,1,11,3,9,6,8,1,16,1,11,2,16,1,9,4,8,1,9,1,11,1,9,1,11,1,9,1,16,1,10,1,16,1,17,3,16,1,10,1,9,1,10,1,11,1,9,2,16,1,13,1,17,2,11,3,17,1,9,1,11,2,8,1,11,1,9,1,10,1,11,1,9,5,13,1,9,1,13,4,8,1,9,1,13,1,10,1,9,1,8,2,9,2,13,1,9,1,8,1,13,2,9,1,8,1,9,3,13,1,9,1,13,1,9,1,13,1,9,3,13,3,9,6,11,1,9,1,11,2,16,2,11,3,9,2,11,1,16,1,17,1,16,1,11,1,9,1,5,26,17,10,16,2,17,10,16,2,17,3,16,1,5,10,33,1,13,1,5,11,33,1,5,892,28,3,7,1,13,1,9,2,24,2,13,3,6,1,8,1,11,1,17,2,16,1,9,1,8,1,17,3,9,1,11,2,8,1,10,1,17,1,10,1,17,1,16,1,8,1,13,1,6,1,29,1,6,1,13,1,7,1,15,2,24,1,12,1,8,1,9,1,12,1,24,1,30,1,6,1,28,1,6,1,7,1,13,2,6,2,8,1,6,2,30,1,6,1,30,1,8,1,6,2,28,1,13,1,29,2,30,1,6,1,10,1,14,2,17,1,10,1,9,2,17,1,12,1,10,1,9,1,6,1,30,1,6,1,30,1,28,1,30,1,13,2,12,1,8,1,29,1,28,1,30,2,6,1,8,1,24,1,8,1,6,1,}, {30,1,6,1,13,1,12,1,24,1,10,1,9,1,13,1,28,1,30,3,6,1,30,2,8,1,24,1,9,1,6,2,30,2,6,1,13,1,12,1,8,1,13,1,28,33,6,1,7,1,8,1,13,1,24,1,17,1,9,1,17,4,16,1,9,3,7,1,8,1,7,1,8,1,9,1,17,1,9,1,8,1,24,1,8,1,9,1,10,1,11,1,9,2,8,1,17,3,8,1,9,1,8,1,9,1,17,4,8,1,9,1,10,1,11,1,12,1,8,1,12,1,17,6,16,1,17,4,12,1,9,1,15,1,9,5,8,4,24,1,8,1,7,1,24,2,7,1,24,1,13,1,7,1,8,2,24,2,17,6,9,1,24,1,8,1,9,1,8,1,10,1,8,1,11,1,17,1,12,1,17,1,15,1,13,2,24,1,13,5,9,1,13,1,12,1,9,1,17,1,8,1,28,1,30,1,28,1,29,1,28,2,30,1,6,1,30,1,7,1,30,1,28,2,12,1,17,87,16,1,17,29,16,2,11,1,16,1,11,2,16,1,11,1,9,1,11,2,9,2,16,1,9,1,11,2,16,1,9,1,16,2,11,1,16,3,11,1,16,1,11,2,16,1,9,1,11,1,16,3,17,1,16,1,17,1,16,4,17,1,16,2,17,2,16,19,11,3,9,2,13,7,8,1,9,2,16,10,11,2,16,1,11,1,16,7,17,2,16,1,17,1,16,1,17,3,16,2,11,1,16,1,9,2,13,4,9,2,8,1,9,1,13,1,8,1,13,2,9,1,13,2,9,2,10,1,9,3,6,1,13,1,8,1,6,4,30,1,6,2,7,1,29,1,13,2,9,1,16,1,8,1,13,4,16,1,9,3,13,1,6,1,13,7,8,1,13,2,6,1,13,4,9,1,13,4,9,7,16,2,9,1,16,1,11,1,9,1,30,4,6,1,7,1,13,1,9,1,13,2,9,1,16,1,9,1,11,1,9,2,16,1,17,9,16,3,11,3,16,2,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,3,9,1,17,1,11,1,16,4,11,1,16,2,9,1,11,1,9,2,8,1,11,1,9,1,10,1,11,1,9,6,11,1,9,3,7,1,29,1,6,2,13,1,30,1,6,1,13,1,6,1,29,1,6,2,13,2,8,2,13,3,6,3,13,2,7,2,13,1,6,1,7,1,13,5,6,1,13,5,8,2,13,2,8,1,13,4,8,1,9,6,11,2,16,2,9,1,11,2,9,1,11,5,16,3,17,2,16,1,17,2,11,1,16,1,11,1,9,1,16,1,17,29,16,1,17,10,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,1,11,1,16,4,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,7,11,1,16,2,11,1,16,10,11,1,16,3,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,1,11,1,17,2,16,1,17,8,16,7,17,1,16,2,17,1,16,3,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,3,17,1,16,1,17,1,16,3,11,1,16,1,11,1,16,3,11,5,10,1,16,1,11,2,9,1,11,3,16,5,17,5,16,2,17,10,16,1,17,1,16,3,11,1,10,1,11,1,10,2,9,1,11,2,9,1,11,1,10,1,11,5,10,1,9,2,11,1,9,1,10,1,8,2,10,1,16,1,9,3,10,1,9,1,16,1,13,1,9,1,11,1,9,6,8,1,16,1,11,1,9,1,11,3,10,1,9,2,10,1,11,1,9,1,10,1,11,2,16,1,11,1,9,1,16,1,11,1,10,1,11,3,16,1,11,2,10,1,11,8,9,1,10,1,9,1,11,1,17,3,11,1,9,1,8,1,13,2,9,1,13,2,8,2,11,1,9,1,16,1,9,1,16,1,11,1,9,1,10,1,16,3,11,1,16,1,9,1,11,2,9,1,10,1,8,1,9,1,10,1,9,1,10,1,9,5,11,1,9,2,11,1,9,2,10,2,9,8,11,2,9,1,11,2,9,1,11,3,9,2,16,1,9,1,16,1,11,1,16,1,11,2,17,1,16,4,17,1,16,3,17,2,16,2,17,1,16,5,17,1,11,1,16,6,17,1,16,1,11,1,16,3,17,1,16,2,11,2,16,1,11,1,9,1,11,1,16,5,11,2,16,1,17,1,16,1,17,1,16,4,11,1,17,2,16,1,17,1,16,2,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,1,17,2,16,2,17,8,16,1,17,1,16,2,17,5,16,1,17,8,16,2,11,1,17,1,16,1,17,5,16,1,17,1,16,1,17,2,16,1,17,1,16,3,17,1,16,1,11,1,17,4,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,5,17,2,16,1,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,1,11,1,16,1,17,1,16,3,11,1,17,1,9,1,17,1,16,1,17,1,16,2,17,1,16,4,17,1,16,2,11,1,16,1,9,1,16,1,11,1,9,1,16,1,9,1,16,2,9,1,16,2,11,2,16,1,11,2,16,1,11,2,9,3,11,2,16,1,11,1,16,2,11,1,9,1,16,3,9,1,17,1,11,2,10,1,16,2,11,3,16,3,9,1,16,1,11,2,16,1,11,1,17,2,16,2,10,1,16,1,9,1,16,1,11,1,9,1,17,1,11,1,17,1,16,2,17,1,11,1,9,1,10,1,9,1,11,1,16,1,11,1,9,3,11,1,9,2,11,1,8,1,11,1,13,1,9,2,8,1,9,3,8,1,9,1,11,1,10,2,9,3,16,1,10,1,16,1,9,4,8,3,11,1,9,6,11,1,9,5,11,1,8,1,11,1,10,1,9,3,10,1,11,1,9,1,11,2,9,1,11,2,9,1,16,1,9,2,10,1,11,1,9,1,11,1,9,4,5,2,33,2,13,1,5,1,33,1,5,9,9,1,5,1,11,1,13,1,9,1,16,1,9,3,11,1,9,1,13,2,11,2,9,2,13,1,9,8,11,1,16,1,11,1,16,2,17,1,11,1,16,3,17,15,16,2,17,1,5,893,30,1,28,1,29,1,8,1,9,1,13,1,8,1,24,1,8,3,7,1,30,1,8,1,24,1,17,2,10,1,12,1,9,2,12,1,17,1,9,1,17,1,11,1,10,1,11,1,16,1,17,1,16,2,24,1,13,1,30,1,6,1,29,1,8,2,12,1,17,1,9,1,24,1,12,1,24,2,8,1,6,1,30,1,6,1,13,1,6,1,13,1,7,3,6,2,7,1,6,2,29,1,13,1,29,1,13,1,6,3,30,2,13,1,14,2,16,1,17,1,9,1,11,1,8,1,16,1,17,1,12,1,9,1,7,1,6,1,28,2,7,1,13,1,29,1,9,1,10,1,9,1,28,4,13,1,9,1,10,1,13,1,6,1,}, {6,2,7,1,24,1,9,1,17,1,24,1,13,1,6,2,30,1,28,1,6,1,30,1,28,1,8,1,10,1,24,1,29,1,13,1,6,1,30,1,29,1,8,1,24,1,10,1,6,1,28,14,30,1,28,18,13,1,7,1,8,1,13,1,10,1,9,1,17,1,12,1,17,4,10,1,24,1,8,1,9,1,13,1,6,1,13,1,9,1,12,1,8,1,12,1,24,1,8,3,10,1,13,1,9,1,13,1,12,1,17,2,8,1,9,1,8,1,9,1,17,3,10,1,24,2,9,1,15,1,12,1,24,1,17,13,9,1,17,1,8,1,9,2,24,1,15,1,13,1,9,1,24,2,13,1,24,1,9,1,13,1,7,1,13,1,9,1,8,1,7,1,13,1,8,2,12,2,17,5,9,1,12,1,9,2,8,1,13,1,10,1,9,1,10,1,17,2,9,3,13,1,8,1,29,1,6,1,13,1,8,1,9,1,13,1,9,1,12,1,15,1,13,1,28,2,30,2,28,1,30,3,29,2,6,1,28,2,17,116,16,6,11,1,16,1,9,1,11,1,9,1,11,3,9,1,11,1,9,3,16,1,11,1,9,1,16,5,11,5,16,5,17,1,16,8,17,2,16,1,17,1,16,1,17,2,16,15,11,1,16,1,11,1,13,2,9,3,13,1,8,1,9,1,11,1,9,1,16,5,17,2,16,3,9,1,16,1,9,1,16,1,9,1,11,3,16,1,11,1,16,5,17,1,16,1,17,1,16,7,9,1,11,1,13,6,9,1,8,1,9,2,13,5,9,2,10,1,9,3,13,2,7,1,6,1,30,1,6,1,29,1,6,2,7,1,30,2,28,1,9,2,16,1,9,1,13,2,30,1,9,3,11,1,13,7,6,1,13,7,9,2,13,1,9,1,13,3,9,3,13,1,11,1,9,2,16,1,11,4,9,1,6,1,28,1,6,1,30,2,6,1,13,1,9,2,13,2,9,1,16,1,11,1,9,3,11,1,16,1,17,8,16,3,11,2,16,11,10,1,16,2,11,1,16,3,11,1,16,1,9,1,16,1,11,4,10,1,11,1,10,1,11,2,8,1,9,2,16,1,9,5,11,1,9,2,13,3,30,1,13,2,6,1,13,1,7,1,13,2,6,1,13,1,6,1,13,1,29,1,6,2,7,1,6,1,7,1,13,1,6,1,13,1,6,1,13,2,7,1,13,1,6,2,13,7,7,1,30,1,8,1,13,2,9,1,8,1,9,1,13,2,9,2,8,1,10,1,9,1,10,2,9,2,11,1,16,1,11,4,16,1,11,1,10,1,9,1,11,3,16,2,17,1,16,1,17,2,16,2,17,1,16,1,11,3,16,1,17,14,16,1,17,30,16,1,17,3,16,1,17,2,16,1,17,5,16,2,17,2,16,3,11,1,16,1,17,1,16,5,11,1,16,2,11,2,16,2,9,1,16,5,11,1,16,7,11,2,16,2,17,5,16,1,17,2,16,1,17,4,16,1,17,3,16,1,17,1,16,3,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,3,17,1,16,5,11,5,9,1,16,2,11,1,16,1,9,1,16,2,11,1,16,1,11,1,9,1,16,6,17,1,16,1,17,19,16,1,11,2,16,1,11,1,9,1,11,4,17,1,9,1,11,1,10,1,9,1,16,1,11,3,9,1,11,1,9,3,11,1,9,1,11,1,9,3,11,2,9,2,10,1,9,1,11,1,9,2,16,1,9,2,16,1,10,2,11,1,9,1,11,6,9,1,8,1,9,1,11,1,9,3,11,3,9,3,11,1,9,1,11,1,9,2,11,2,9,3,13,1,8,1,13,1,16,1,9,1,11,1,17,1,13,1,9,2,13,1,8,1,6,1,13,2,7,2,13,4,9,1,11,1,9,3,11,2,9,1,11,2,9,2,11,1,9,2,8,1,10,1,11,2,9,2,10,2,9,2,11,4,9,1,10,1,16,1,11,1,16,1,11,1,10,1,11,1,16,2,11,1,9,1,16,1,11,1,16,1,11,3,16,1,11,3,17,1,16,3,11,2,16,1,11,1,9,1,17,1,16,1,11,1,16,1,17,1,11,2,10,1,16,1,11,1,17,1,16,3,11,1,16,1,11,1,17,1,16,1,11,2,16,2,11,1,17,1,16,2,11,1,16,2,17,1,11,1,17,1,16,2,17,2,16,1,17,1,16,1,17,2,11,2,16,1,11,2,17,2,11,2,17,2,16,2,11,1,16,5,17,5,16,1,17,3,16,1,17,1,16,1,17,2,16,1,17,1,16,1,11,1,16,4,11,1,16,1,11,1,16,4,9,1,11,1,16,3,17,7,16,1,11,1,17,5,16,1,17,3,16,3,17,1,11,2,16,2,17,2,10,1,17,1,16,1,17,2,16,1,17,1,16,4,11,1,16,2,17,1,16,1,17,2,16,2,17,1,16,1,17,1,16,1,17,1,16,2,17,5,16,1,17,1,16,1,17,2,16,1,17,3,16,2,17,4,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,3,16,1,11,1,17,2,16,4,11,1,16,1,11,1,16,9,17,1,10,1,9,1,11,1,16,1,17,1,10,1,16,1,11,1,16,1,11,1,16,1,9,1,16,8,11,1,16,2,11,1,16,1,17,2,16,1,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,11,1,17,3,16,1,17,2,16,6,17,2,11,1,16,3,9,1,16,1,11,1,16,1,11,1,17,1,9,1,11,1,16,1,9,1,11,1,16,2,17,1,9,2,16,1,9,2,11,1,10,1,9,1,11,1,9,2,16,1,9,9,11,2,9,3,11,1,16,1,11,2,9,3,11,2,10,1,9,1,11,1,9,1,11,1,16,2,11,1,9,1,8,1,9,1,16,1,10,1,11,1,9,2,11,1,9,2,11,2,9,1,11,1,9,4,8,1,10,1,11,1,9,5,11,1,9,2,11,1,9,2,13,1,9,1,8,1,9,2,13,1,9,5,13,1,9,2,13,1,9,1,8,1,9,3,13,1,9,2,13,1,9,1,10,1,9,2,13,1,9,1,8,1,9,2,13,1,9,2,13,1,9,4,13,1,11,1,9,1,13,1,9,3,16,2,9,1,11,1,9,3,16,4,17,1,16,1,5,891,13,1,28,1,13,2,9,1,8,1,9,1,24,1,8,3,6,1,13,1,9,1,12,1,16,1,17,1,12,1,9,1,24,2,8,2,13,1,9,1,12,1,11,1,12,1,11,1,17,3,13,1,24,1,28,1,30,1,13,1,8,2,15,1,17,2,10,1,12,1,10,1,13,1,8,1,6,1,30,2,6,1,8,2,13,2,30,1,29,1,6,1,8,1,29,1,24,1,13,1,8,1,13,1,8,1,13,1,28,1,13,1,29,1,28,1,29,1,17,3,10,1,6,1,13,1,8,1,17,1,9,1,8,1,9,1,24,1,6,2,28,2,6,1,7,1,9,2,8,1,30,1,28,2,30,1,8,3,29,1,6,1,}, {28,1,6,1,8,1,7,1,8,1,17,1,9,1,13,1,28,1,6,1,29,4,6,1,24,1,11,1,10,1,7,1,30,1,6,1,13,1,7,1,6,1,24,1,12,1,29,1,28,21,30,1,28,11,6,1,29,1,8,2,24,1,11,1,17,1,12,1,17,3,10,1,11,1,10,1,7,1,24,1,13,1,8,1,24,1,11,1,12,2,6,1,30,1,7,1,8,2,16,1,9,1,13,2,12,1,17,2,10,1,24,1,8,1,10,1,17,3,16,1,9,1,8,1,24,1,11,1,8,1,13,1,10,1,17,4,16,2,17,6,9,1,24,1,17,1,24,1,10,1,9,2,12,1,24,1,13,1,24,1,9,1,13,4,8,1,13,1,7,1,8,1,6,1,13,1,8,1,10,1,17,4,16,2,9,1,8,1,7,1,8,1,12,1,8,1,9,1,11,1,10,1,17,2,9,2,24,1,8,4,13,1,24,2,8,1,15,1,9,1,12,1,24,1,28,5,30,1,6,1,28,1,13,1,29,2,28,1,6,1,11,1,17,115,16,2,11,1,16,2,11,1,16,2,9,1,11,2,9,3,11,1,9,2,11,2,9,1,11,1,16,2,11,2,16,1,11,1,9,1,16,1,9,1,16,15,17,2,16,3,17,2,16,8,17,1,16,1,17,1,16,6,11,3,9,1,11,1,9,3,11,2,9,1,11,1,16,2,17,2,16,2,17,1,11,1,16,1,11,1,9,3,11,1,9,2,11,1,9,1,11,1,9,1,11,2,16,6,17,1,16,1,17,1,16,3,11,4,8,1,13,4,9,1,13,1,8,1,13,5,9,1,8,1,16,1,9,2,10,1,9,1,8,1,13,2,30,1,28,1,13,1,6,1,13,1,6,1,7,2,6,2,10,2,11,1,9,2,13,3,9,4,13,2,6,1,13,1,6,1,13,4,9,1,13,7,9,1,13,1,9,1,13,3,9,3,13,1,11,1,16,1,11,1,16,1,9,3,28,1,6,1,30,1,6,2,13,1,9,2,13,2,9,1,13,1,16,2,9,4,16,1,17,1,16,1,17,9,16,3,11,1,16,8,11,2,16,1,11,1,16,3,11,1,16,1,11,2,16,1,11,3,16,1,11,1,10,1,9,1,11,1,9,2,11,1,10,1,11,1,9,3,13,1,9,2,11,1,9,2,6,2,30,1,29,1,13,5,6,2,13,2,8,1,7,1,13,1,6,3,30,1,6,1,8,1,13,1,6,1,8,1,6,1,13,1,8,1,13,2,6,1,13,2,7,1,13,4,9,1,13,1,9,2,13,1,8,1,9,2,13,1,9,2,10,1,8,1,9,1,10,1,9,2,16,1,11,1,9,1,11,3,16,1,17,1,11,2,9,1,11,1,17,1,9,1,16,1,17,2,16,1,17,1,16,3,11,1,16,2,9,1,11,1,9,1,16,1,17,9,16,1,17,5,16,1,17,11,16,1,17,28,16,2,17,12,16,1,17,1,16,4,17,1,16,3,17,2,16,1,17,1,16,4,17,2,16,1,17,2,16,2,17,1,16,2,17,8,16,1,17,5,16,1,17,4,16,1,17,9,16,1,17,1,16,1,17,5,16,1,17,1,16,5,17,1,16,2,11,1,10,1,16,4,17,1,16,3,17,3,16,1,17,2,16,1,17,3,16,1,17,4,16,1,17,1,16,1,17,4,16,1,17,2,16,1,11,2,16,1,11,2,17,1,11,1,10,1,11,2,16,2,11,3,17,1,11,4,9,1,11,1,10,2,9,3,8,1,11,1,16,1,17,14,16,1,17,9,11,1,17,3,11,1,17,1,16,1,9,4,16,1,11,1,16,1,9,4,11,1,8,1,12,1,11,1,13,3,9,1,7,1,9,1,6,1,9,1,13,1,7,1,13,1,6,2,7,1,13,1,8,1,7,1,13,1,8,1,9,1,16,1,9,2,8,1,9,1,11,1,16,1,9,2,16,1,10,1,9,1,11,1,9,1,11,1,9,4,11,1,16,1,11,1,10,1,11,1,16,1,11,1,16,1,10,1,11,3,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,5,16,2,11,1,10,1,11,2,16,2,11,2,10,1,11,2,9,1,16,2,17,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,2,17,2,16,1,17,1,11,1,16,3,17,1,16,2,11,1,16,5,17,1,11,1,16,1,10,1,17,1,16,1,11,1,17,1,16,1,11,9,9,1,11,1,9,1,11,1,16,1,11,1,16,1,9,1,16,2,9,1,11,2,10,1,9,1,11,1,9,1,11,1,10,1,11,1,17,1,11,3,9,1,11,2,9,1,10,1,11,1,9,3,10,1,9,3,11,1,9,2,8,2,9,5,11,1,16,1,11,1,9,1,17,2,10,1,11,1,10,1,11,1,9,1,16,1,11,1,16,3,17,1,11,1,16,1,9,2,8,1,9,2,11,1,9,1,11,1,9,4,11,1,9,1,11,1,10,1,11,1,9,1,17,1,9,2,11,1,9,2,16,1,11,1,17,2,11,1,16,2,11,1,9,2,16,3,11,1,16,1,17,1,16,3,11,1,16,1,11,1,17,2,11,1,16,5,9,1,11,2,16,1,11,1,17,2,16,2,17,3,16,1,11,1,17,1,9,1,16,2,11,1,17,1,11,1,16,2,17,1,16,1,11,1,16,5,9,1,16,2,11,1,17,1,16,1,9,1,11,1,16,1,11,1,16,2,11,1,9,1,16,1,17,1,9,1,16,1,17,1,16,2,11,2,16,2,11,1,16,1,11,1,16,2,11,1,16,1,17,2,16,1,9,1,16,1,17,3,16,1,17,7,16,1,17,2,16,1,17,6,16,1,17,3,16,1,17,4,16,1,17,5,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,11,1,16,1,17,1,16,1,17,2,16,1,9,1,17,1,10,1,11,3,16,1,11,3,16,1,11,1,17,1,16,2,9,1,16,4,11,1,16,2,11,1,16,1,11,1,17,1,16,2,11,2,16,1,9,1,16,1,9,2,11,1,9,1,11,1,16,1,11,1,16,2,9,2,11,1,16,1,11,2,9,2,11,1,9,1,11,1,9,4,11,1,9,3,8,1,9,3,16,1,9,1,16,1,9,1,10,1,9,1,13,1,9,1,11,1,9,1,16,1,9,4,8,1,9,3,13,1,9,5,8,1,9,2,11,1,13,1,9,1,8,2,9,2,8,1,9,2,11,1,13,2,9,1,13,2,9,1,8,1,9,1,13,2,9,1,8,2,9,1,11,1,8,1,9,1,16,1,11,1,9,2,5,22,16,1,17,19,5,9,33,1,5,2,33,3,5,1,33,2,5,11,33,1,5,817,30,2,13,2,9,1,8,1,9,1,13,1,8,1,13,1,6,1,29,1,13,1,8,1,17,3,9,2,12,1,10,1,8,1,12,1,9,1,24,1,12,1,16,1,9,1,17,1,9,1,16,1,9,1,13,1,29,1,6,1,13,1,8,1,13,1,9,1,16,1,17,1,9,2,10,2,8,1,13,1,30,1,29,1,30,1,6,1,29,1,6,1,30,1,13,1,28,1,6,1,30,2,13,1,8,6,13,1,7,1,13,2,24,1,17,3,10,1,8,1,9,2,17,1,10,1,9,1,24,2,13,1,30,2,6,1,30,1,13,1,24,1,12,1,13,1,30,1,28,3,7,1,9,1,24,1,7,1,6,1,}, {30,1,6,1,7,1,8,2,17,1,11,1,13,1,29,1,6,1,29,1,6,1,30,2,29,1,9,1,24,1,8,2,13,1,6,1,29,1,28,1,6,1,12,1,17,1,7,1,28,32,30,1,7,1,13,2,24,2,17,1,10,1,17,5,13,1,9,1,8,1,6,1,8,2,29,1,24,1,12,1,24,1,6,1,11,1,8,1,13,1,9,1,12,1,24,1,13,1,7,1,17,2,11,1,24,1,13,1,24,1,9,1,17,2,11,1,16,1,9,1,24,1,9,1,13,2,8,1,9,1,17,6,11,1,17,5,10,1,9,2,8,1,11,1,8,1,9,1,10,1,8,1,11,1,24,1,7,1,9,1,6,1,13,1,24,1,6,2,13,2,24,1,13,1,24,1,9,1,17,6,11,2,9,1,13,1,8,2,13,1,12,3,17,1,24,1,13,1,24,2,13,1,8,2,13,1,24,1,10,1,13,1,8,1,11,1,10,1,6,1,30,2,28,3,30,2,29,1,30,1,6,1,30,1,28,1,30,1,11,1,17,81,10,1,9,1,8,2,17,28,16,10,9,2,11,1,9,3,11,2,9,3,16,2,9,1,11,1,16,1,11,1,16,2,11,1,16,7,11,2,16,1,11,1,16,12,17,1,16,18,11,1,16,5,11,1,16,10,9,1,11,2,9,8,13,1,9,2,11,1,9,2,11,1,9,1,16,6,17,2,16,3,11,3,13,4,9,1,13,7,8,2,9,3,10,1,9,1,8,1,13,1,6,1,7,1,13,2,6,2,13,1,30,3,13,1,9,1,11,2,9,1,13,5,9,2,13,6,7,1,13,4,9,1,13,5,9,2,13,1,9,1,11,1,9,5,16,2,11,1,16,1,9,3,13,1,30,2,28,2,6,1,13,1,9,1,11,1,13,4,11,1,16,1,11,1,9,3,11,1,16,2,17,10,16,3,11,1,16,2,9,1,11,2,16,1,11,5,9,1,11,1,16,1,10,2,16,1,17,1,11,1,9,2,16,1,11,4,9,2,11,1,9,1,11,2,9,1,11,1,8,1,9,5,11,1,13,1,6,2,7,1,13,2,6,3,30,1,7,1,6,4,8,1,13,1,7,1,6,1,8,2,6,1,13,2,6,2,13,3,8,1,13,5,6,1,13,2,8,1,13,1,8,1,9,1,8,3,9,1,11,1,9,1,8,2,13,1,9,1,10,1,11,3,16,1,11,1,17,1,16,1,11,4,16,1,11,1,17,1,11,1,10,1,11,1,17,1,16,1,11,1,16,1,17,1,16,1,17,1,11,1,17,1,16,1,11,2,9,1,11,1,16,1,17,9,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,31,16,1,17,4,16,1,17,1,16,1,17,17,16,1,17,3,16,1,17,1,16,1,11,1,16,2,17,1,16,1,11,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,1,17,15,16,1,17,8,16,6,17,2,16,2,17,5,16,1,17,1,16,1,17,5,16,1,17,1,16,1,17,6,16,1,17,1,16,2,17,3,16,3,17,2,16,1,11,1,16,1,17,1,11,5,10,1,11,1,16,1,11,1,9,1,16,1,11,4,10,1,11,1,10,1,9,3,8,1,11,1,16,4,11,1,17,1,9,1,16,1,11,1,16,2,9,1,17,1,12,1,10,1,11,1,9,1,12,1,9,1,11,1,9,1,11,1,9,1,17,1,9,1,8,1,9,1,10,2,17,1,9,2,11,1,10,1,9,2,16,1,9,2,11,1,9,1,6,1,11,1,13,2,10,1,11,1,8,3,9,1,7,1,8,1,13,1,7,1,13,2,9,1,13,4,6,1,13,1,7,1,13,2,8,2,9,1,11,1,9,2,10,1,16,2,9,1,10,1,11,1,16,1,11,1,16,1,11,1,16,1,9,1,16,1,9,1,16,1,11,1,10,1,17,1,11,1,16,1,11,1,16,1,17,1,11,1,16,2,11,1,17,1,11,1,16,6,17,1,11,1,17,1,11,2,16,4,11,1,9,1,16,1,11,3,9,1,11,1,10,1,9,1,11,2,10,1,16,1,9,1,16,1,9,1,17,1,16,1,11,1,10,1,11,2,16,1,11,2,16,2,11,2,16,1,9,1,16,1,11,1,16,1,9,1,16,1,9,2,11,1,9,2,11,1,9,3,16,1,9,2,11,2,9,1,10,1,8,1,9,3,11,1,9,2,11,1,8,1,11,1,9,4,8,1,11,1,9,1,11,1,9,1,13,1,8,1,13,1,9,1,13,1,9,3,11,2,9,3,11,1,9,2,11,1,9,1,11,3,9,1,10,1,9,1,10,1,11,1,9,1,13,1,9,3,13,2,9,3,11,2,9,2,11,1,16,1,9,1,16,1,9,1,16,1,9,1,11,1,9,1,11,1,16,1,11,1,8,1,11,1,9,2,11,1,8,1,13,1,8,1,9,2,16,1,9,2,11,2,9,2,11,1,9,8,11,1,8,1,9,1,11,1,13,1,8,1,9,3,11,1,9,2,13,1,9,1,10,1,11,1,9,4,16,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,2,9,4,16,2,9,1,8,1,10,1,9,2,10,1,9,1,11,1,9,4,13,1,11,1,9,2,16,1,13,1,9,1,13,1,9,1,8,1,9,4,13,1,8,3,9,2,11,1,9,1,8,1,9,7,8,3,13,1,8,1,9,8,11,1,9,3,11,2,9,1,16,1,11,1,16,1,17,1,16,1,17,4,16,1,17,1,16,4,17,1,16,2,11,1,17,1,16,3,17,2,16,2,17,4,16,1,17,2,16,1,17,4,16,2,17,1,16,2,17,7,16,6,11,1,16,2,17,2,11,1,17,3,11,1,17,2,11,1,17,4,16,4,17,2,16,3,11,1,16,2,17,3,16,3,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,3,16,3,11,2,16,2,9,2,16,1,9,3,11,4,9,1,11,4,16,1,10,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,16,1,11,1,9,8,16,1,9,6,11,1,9,1,11,1,9,1,11,1,16,1,9,1,13,1,9,1,8,1,13,4,9,2,8,1,9,4,8,1,13,1,9,1,17,2,16,1,9,2,13,2,9,1,13,3,9,1,13,3,9,1,8,1,9,1,13,1,8,1,9,3,8,1,11,1,16,1,17,1,11,1,16,1,9,1,11,1,16,2,11,1,16,1,17,1,16,7,17,17,16,5,11,2,9,2,13,1,11,1,17,1,13,2,5,6,33,1,5,10,16,1,5,798,28,1,13,2,8,3,24,1,13,1,6,1,13,2,6,1,13,1,24,1,17,3,16,1,9,1,10,1,9,2,10,1,8,1,10,1,9,1,8,1,9,1,8,1,11,1,16,1,9,1,13,1,28,1,6,2,7,1,13,1,9,1,17,1,10,1,9,1,17,1,24,1,8,1,13,2,28,1,29,1,6,1,30,1,29,1,6,1,13,1,6,1,29,1,6,1,7,1,13,2,8,1,12,1,24,1,8,1,24,2,8,2,13,1,6,1,24,1,17,1,11,1,17,1,12,1,9,1,8,1,12,1,17,2,10,1,24,1,9,1,8,1,29,2,6,1,7,1,24,1,10,1,12,1,24,1,30,2,28,1,6,1,24,1,9,1,8,2,13,1,}, {28,1,13,1,8,1,13,1,24,1,17,1,9,1,8,1,28,1,29,1,30,2,6,4,10,2,7,1,6,3,30,1,28,1,9,2,8,1,28,24,30,1,28,1,29,1,28,1,30,1,29,1,30,1,28,2,7,1,13,1,8,1,24,1,9,1,11,1,17,1,12,1,11,1,17,3,11,1,8,3,13,1,8,1,13,1,12,1,17,1,10,1,8,1,24,1,13,1,24,1,9,1,8,3,24,1,17,2,9,1,8,1,24,1,8,1,24,1,17,3,12,1,9,1,24,1,8,2,9,1,8,2,17,5,16,1,11,2,17,3,16,2,15,1,9,3,13,1,24,1,12,1,24,1,9,1,12,1,8,2,13,3,6,1,7,1,8,1,7,1,24,1,13,1,8,1,10,1,17,6,12,1,9,1,8,1,24,1,8,3,17,3,12,1,8,1,24,1,9,1,13,1,7,1,9,1,7,1,8,1,10,1,8,1,24,1,8,1,9,1,10,1,13,1,30,1,28,3,30,2,28,1,30,1,6,2,29,1,28,2,9,1,17,73,16,1,9,1,8,1,13,1,11,1,10,1,13,1,7,1,13,1,9,1,28,1,13,1,17,28,16,1,17,1,16,2,17,1,16,1,11,3,16,1,9,3,11,2,9,3,11,1,16,1,11,1,16,1,11,3,9,2,11,1,16,4,17,3,16,7,11,2,16,1,11,1,16,4,17,1,16,4,17,1,16,7,17,1,16,3,17,1,16,2,17,1,16,16,11,2,9,1,11,1,9,3,13,2,9,2,13,1,9,2,8,1,13,1,9,4,11,1,9,1,11,1,17,1,16,10,9,1,13,1,9,1,13,5,9,1,13,2,9,3,11,1,9,1,11,1,8,1,9,1,8,1,13,1,6,4,30,1,6,5,13,1,9,4,13,1,9,1,13,2,6,1,9,2,11,1,13,4,9,1,13,2,6,1,9,1,13,3,6,1,13,2,9,1,13,1,9,5,13,1,9,2,11,3,16,3,13,1,9,1,6,2,30,3,6,1,13,2,9,1,8,1,13,2,9,1,13,1,16,2,9,1,13,2,9,2,11,1,16,2,17,12,16,3,9,1,11,2,9,1,16,1,9,1,16,1,11,2,16,2,9,1,11,7,16,1,11,1,9,1,16,1,9,1,11,2,9,2,11,2,8,1,9,1,10,1,11,2,9,2,10,1,9,2,6,2,7,1,6,1,7,2,13,1,29,2,6,2,7,1,13,2,28,1,6,1,13,2,6,1,13,1,8,2,13,3,8,1,7,1,13,3,6,1,13,2,6,1,13,4,9,1,10,1,13,1,9,1,8,1,9,4,8,1,9,3,11,1,16,1,11,2,16,1,9,1,11,1,17,1,11,2,16,2,11,7,9,1,17,2,11,3,17,1,11,1,17,1,16,5,11,1,16,1,11,1,16,3,11,2,17,1,16,1,17,2,11,1,17,1,11,1,17,1,11,1,17,1,16,2,17,1,16,1,17,3,16,1,17,24,16,1,17,6,16,1,17,3,16,1,17,1,16,1,17,7,16,1,17,6,16,3,17,1,16,2,11,1,16,1,11,1,16,3,17,1,16,1,11,1,17,1,16,2,17,2,16,1,17,1,16,1,17,6,16,2,17,3,16,1,17,8,16,4,17,2,16,1,17,2,11,1,17,1,16,2,17,1,16,1,17,3,16,1,17,1,16,3,17,8,16,3,17,3,16,1,17,5,16,1,17,5,11,3,9,1,11,2,17,12,11,1,17,1,9,1,11,1,9,1,17,1,11,2,10,1,9,1,16,1,9,1,8,3,6,1,8,1,11,1,7,1,13,1,9,3,13,1,9,1,13,2,9,1,16,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,1,8,3,9,1,8,1,11,1,9,1,11,1,8,1,13,1,8,1,9,1,8,1,13,1,9,2,11,1,9,1,11,2,8,1,11,1,10,1,9,1,8,1,9,1,8,1,9,1,8,1,13,2,8,1,13,5,6,1,9,1,13,1,7,1,9,1,13,1,9,2,11,4,9,1,11,3,16,12,10,1,16,5,11,1,16,1,9,1,16,1,17,1,11,1,16,4,11,1,17,1,16,1,9,1,16,3,9,1,11,1,16,1,11,1,16,1,11,1,9,2,11,1,9,1,10,1,9,1,11,1,9,1,10,1,9,1,13,1,8,1,9,2,16,1,9,1,16,2,8,1,9,4,11,1,9,7,8,1,9,1,11,1,9,1,11,1,9,1,13,1,9,1,13,1,9,4,8,1,9,1,13,1,8,2,13,1,9,2,10,1,9,1,13,1,9,1,8,1,9,4,8,1,9,1,8,1,9,1,13,1,9,1,8,1,7,1,9,1,13,2,8,2,9,3,13,1,8,1,13,1,9,1,11,1,8,1,16,1,9,8,11,1,9,12,8,1,9,4,8,1,11,1,9,1,11,1,9,2,16,2,11,1,8,1,11,1,9,4,16,1,10,1,9,3,8,1,9,5,8,1,9,3,10,1,9,4,11,1,9,5,16,1,17,1,16,1,10,1,16,1,11,2,9,4,11,1,9,2,11,2,9,1,11,2,8,1,11,2,10,1,16,1,11,2,9,2,11,1,9,1,11,2,9,1,10,1,11,1,9,1,8,1,11,1,16,1,9,2,10,1,9,2,11,1,9,8,10,1,9,1,8,1,9,1,8,1,13,1,10,1,9,3,13,1,9,1,8,1,9,1,16,1,9,1,11,2,8,1,9,5,13,2,9,5,8,1,9,4,11,1,8,1,9,1,16,1,8,1,9,2,8,1,9,4,11,1,9,1,16,1,17,4,16,2,11,2,9,1,16,1,11,1,8,1,9,2,11,1,16,1,11,1,16,2,10,1,11,1,17,1,16,1,9,1,16,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,4,10,1,16,2,11,1,16,4,17,2,16,1,17,1,16,1,9,1,17,1,11,1,16,4,17,1,10,1,17,1,16,3,17,1,11,1,17,1,11,1,17,1,16,1,17,1,11,1,17,1,16,2,17,1,11,1,16,2,17,1,16,2,11,1,16,1,10,1,16,2,17,2,16,1,17,1,11,1,17,5,16,1,17,4,16,1,9,1,11,1,16,1,17,1,9,1,17,1,11,1,16,2,11,4,16,2,9,2,16,1,11,1,9,1,16,1,9,2,11,4,10,1,9,2,11,4,10,1,9,1,10,1,11,1,9,6,11,2,16,1,10,1,11,1,10,1,9,1,11,1,9,2,8,1,9,2,11,2,16,1,9,1,11,1,9,6,11,1,9,2,16,1,11,2,16,1,9,5,8,1,9,2,13,1,9,2,8,1,13,2,9,4,11,1,9,5,11,1,9,1,16,1,9,1,16,2,11,1,9,3,11,1,10,1,11,1,9,1,8,1,9,2,13,1,9,1,16,1,9,1,8,1,9,1,11,1,9,1,16,1,17,1,9,2,11,1,16,1,11,1,16,1,17,2,16,1,17,1,16,9,17,3,16,1,17,8,16,2,17,1,16,1,9,1,11,1,13,1,9,2,13,3,5,1,33,3,5,8,33,2,5,4,33,1,5,774,6,1,28,1,8,3,13,1,8,3,13,2,6,1,7,1,13,1,8,1,16,1,17,3,12,1,24,1,12,1,10,1,9,1,24,1,9,1,12,1,9,1,16,1,8,1,11,1,16,1,10,1,13,1,6,2,30,1,8,1,24,1,11,1,16,1,17,1,12,1,9,2,13,1,8,2,28,1,6,2,30,2,29,1,6,3,30,1,7,1,13,1,8,1,24,1,8,1,24,1,8,1,7,1,9,2,8,2,9,1,10,1,17,2,16,1,9,1,10,1,13,1,12,1,17,2,12,2,8,2,13,1,6,2,13,1,9,1,17,2,8,1,30,1,28,2,6,1,13,1,17,1,24,1,6,2,}, {29,1,30,1,24,2,7,1,11,2,8,1,28,2,30,1,29,2,28,1,6,1,9,1,12,1,17,1,13,1,6,3,30,1,8,1,17,1,15,1,6,1,28,22,30,1,28,2,30,1,29,1,28,1,6,1,30,2,28,1,29,1,13,2,24,1,8,1,12,1,24,1,12,2,11,1,17,3,9,1,8,1,9,1,13,1,8,1,13,1,8,1,12,1,9,1,13,1,8,1,10,1,8,1,13,1,9,1,24,1,8,1,7,1,8,1,17,3,7,2,8,1,17,5,9,1,24,1,9,3,13,1,15,1,17,4,16,2,11,1,17,5,16,1,9,1,14,1,24,1,9,1,13,1,10,1,9,1,24,2,8,2,13,1,8,1,13,1,8,1,13,1,8,1,13,2,7,1,8,1,13,1,24,1,17,5,12,2,8,2,13,1,24,2,8,1,11,1,17,2,9,1,10,1,13,1,8,1,13,1,9,1,8,1,6,1,13,1,12,1,13,1,7,1,11,1,15,1,11,1,13,1,30,1,28,4,30,2,28,1,6,1,29,2,28,1,30,1,10,1,17,72,9,1,13,2,9,3,8,2,9,1,8,1,7,1,28,2,11,1,17,23,16,2,17,2,16,5,17,1,11,6,9,1,11,2,9,3,11,3,9,1,11,1,9,2,11,1,9,1,16,2,17,1,16,1,17,3,16,5,9,2,16,2,11,3,16,9,11,1,16,8,11,1,16,1,11,1,16,3,17,1,16,3,17,1,16,6,17,2,16,3,11,3,9,4,13,8,9,1,8,1,13,1,9,2,13,1,8,1,9,1,11,2,16,3,17,2,16,4,11,1,9,1,16,1,11,1,13,2,6,1,13,2,8,2,9,1,13,1,9,2,11,1,9,1,13,1,9,2,8,1,13,1,7,1,29,1,6,3,13,1,6,2,13,1,8,1,11,1,16,3,9,2,13,3,6,1,13,1,9,3,13,5,6,1,13,7,9,1,13,1,9,4,16,1,9,1,16,1,13,1,9,1,11,1,16,1,11,3,9,3,13,1,6,1,30,1,28,1,6,1,13,1,6,1,9,3,13,4,11,1,17,1,11,1,9,2,13,2,11,2,16,1,17,12,16,2,11,1,16,1,9,1,11,2,16,1,9,1,16,1,9,1,10,1,11,1,9,1,16,1,11,1,16,1,9,1,11,5,16,1,11,1,16,1,11,1,16,2,9,3,11,2,9,1,11,2,9,1,11,1,9,1,11,2,9,1,13,2,6,2,7,1,6,1,13,1,6,2,30,1,13,2,6,1,30,1,13,6,8,1,13,1,6,1,13,1,7,1,8,1,13,1,9,1,6,1,13,3,6,1,13,5,9,1,13,1,9,1,8,1,9,1,13,1,9,3,11,1,10,1,9,2,10,1,11,1,9,1,16,1,11,3,17,1,11,1,17,1,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,3,9,1,16,2,17,1,16,1,11,1,16,2,11,1,17,1,11,1,16,1,11,1,16,1,17,1,16,2,17,1,16,1,17,2,16,4,17,2,16,1,17,1,16,2,11,1,16,3,17,1,11,1,16,1,11,1,16,1,9,1,17,3,16,1,17,19,16,1,17,3,16,1,17,2,16,1,17,2,16,3,17,19,16,1,17,2,16,2,17,1,16,4,17,6,16,1,17,3,16,2,17,2,16,1,17,2,16,3,17,4,16,1,17,1,16,1,17,3,16,2,17,1,16,1,17,5,16,1,17,1,16,1,17,3,16,1,17,1,16,2,17,7,16,1,17,3,11,1,16,1,17,1,16,1,11,1,17,1,16,1,11,1,9,2,11,6,9,3,8,1,16,1,8,1,11,2,16,2,9,1,16,1,10,1,9,1,17,1,10,1,16,1,11,1,9,4,8,1,11,1,8,1,9,1,10,2,8,1,9,2,16,1,8,1,9,2,8,1,9,1,13,1,9,1,8,1,10,1,9,4,8,4,9,1,13,1,9,1,8,1,13,2,8,1,17,1,8,1,13,1,8,2,9,1,13,2,8,1,9,1,11,1,13,1,9,1,7,1,9,1,13,1,8,1,16,1,9,1,11,1,13,1,8,1,9,3,8,1,9,2,11,1,9,1,8,1,9,1,6,1,8,1,9,2,11,1,16,1,11,1,17,1,11,3,17,2,16,2,10,1,17,2,11,1,16,2,11,1,16,1,11,1,16,1,9,1,11,2,16,4,17,1,16,1,11,1,17,1,11,3,9,1,11,2,10,1,8,1,16,1,8,1,9,2,11,1,9,2,10,1,9,1,8,2,9,1,8,1,9,3,11,1,8,1,9,6,8,1,9,1,8,1,9,1,8,1,9,6,13,1,9,1,13,2,9,2,13,1,9,1,13,1,9,3,13,1,10,1,9,1,8,2,9,1,13,2,8,2,9,1,13,1,9,1,13,3,9,1,13,1,11,1,16,1,8,3,13,1,9,1,8,1,9,7,8,1,9,1,13,1,9,1,13,2,9,3,11,1,8,1,9,2,13,1,9,2,13,1,9,4,11,1,9,2,13,1,9,6,8,1,11,3,9,1,10,1,11,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,10,1,8,2,9,1,10,1,13,1,8,1,9,3,16,1,9,5,11,1,16,1,11,1,9,1,8,1,11,1,9,1,8,1,11,1,17,1,13,1,9,1,13,1,8,1,9,5,11,1,10,1,9,1,11,1,9,4,13,2,8,1,6,1,13,1,9,2,11,2,8,1,11,1,8,1,16,1,11,1,16,1,11,1,9,3,16,2,9,1,16,1,9,1,8,1,9,1,11,1,9,1,8,1,9,4,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,2,10,1,9,2,10,1,9,2,10,1,8,1,13,2,9,5,13,1,9,2,13,1,9,5,13,1,9,2,8,2,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,3,8,1,9,1,8,1,9,3,8,1,9,1,8,1,9,1,8,2,9,1,11,1,8,1,9,6,11,1,17,3,16,2,17,1,11,2,9,4,13,1,9,1,8,1,9,1,11,1,10,1,16,1,9,1,16,1,10,1,9,4,11,1,9,4,8,1,9,1,16,1,9,1,11,1,9,1,8,1,9,1,10,1,13,1,9,1,11,1,9,2,17,1,11,2,13,1,9,1,10,1,9,1,8,1,9,3,10,1,9,2,16,3,9,2,16,1,9,2,8,2,9,3,11,3,16,1,11,1,9,1,11,1,10,1,16,1,17,1,16,1,17,2,11,1,9,1,17,1,16,2,17,1,16,5,17,1,16,1,17,2,16,2,11,1,16,6,11,1,16,1,11,2,16,2,11,1,16,3,17,1,16,1,11,2,8,1,11,1,10,1,11,1,16,2,9,1,16,2,11,2,9,2,11,1,9,1,10,1,9,1,11,2,9,2,10,1,11,1,9,2,11,4,9,1,16,1,11,2,9,1,16,1,9,1,13,1,11,3,16,1,11,1,16,1,9,1,16,1,11,1,16,2,9,1,10,1,11,1,16,2,9,6,8,3,9,1,8,1,11,1,8,1,9,3,8,1,9,2,13,2,9,2,11,1,9,2,11,3,16,1,9,1,16,1,11,1,9,1,11,3,9,2,16,1,8,1,9,1,11,3,16,1,11,1,9,2,16,1,11,1,9,2,11,1,8,1,11,1,9,3,11,1,9,1,10,1,9,1,11,1,9,1,16,1,9,1,10,1,11,1,9,1,11,1,9,2,16,1,11,2,16,1,9,1,11,2,16,4,11,1,16,7,17,6,16,3,5,1,16,2,5,1,9,1,5,5,9,1,5,1,16,2,5,1,9,1,5,1,13,1,33,1,13,1,33,5,5,762,28,2,13,1,9,1,8,2,9,1,8,1,24,1,7,1,24,1,6,2,7,1,12,1,10,1,17,4,10,1,9,1,8,1,24,1,10,1,12,1,10,1,12,1,8,2,11,1,16,1,9,1,13,1,29,1,6,1,13,1,8,1,13,1,9,1,16,1,17,1,10,1,9,2,8,2,7,1,30,2,13,1,30,2,29,1,7,1,6,1,7,1,28,1,6,1,7,2,24,1,13,1,8,1,9,1,7,1,9,2,13,1,9,1,13,1,8,1,17,2,10,1,12,1,8,2,9,1,17,2,9,2,13,1,8,1,6,2,13,1,9,1,17,2,12,2,30,3,6,1,8,1,9,2,13,1,6,1,}, {30,1,13,1,8,3,17,1,10,1,8,1,30,2,28,1,30,1,6,3,13,1,12,1,10,1,13,6,9,1,15,1,9,1,28,19,6,1,29,1,30,1,29,1,13,1,6,1,28,1,29,2,30,1,6,1,28,1,7,1,6,1,29,1,13,1,8,1,15,1,10,1,24,1,9,1,17,1,10,1,17,3,12,1,8,1,13,3,8,2,12,2,9,1,10,1,12,1,9,1,8,1,9,4,7,1,17,2,12,2,9,1,8,2,17,3,9,1,12,1,8,1,10,1,12,1,9,1,24,1,11,2,17,2,16,2,17,1,16,1,17,6,12,1,15,1,9,1,15,1,6,1,8,1,10,1,8,1,9,1,8,1,13,1,6,2,8,1,6,1,8,2,13,1,6,1,8,2,12,1,9,1,17,5,14,1,12,1,9,2,8,1,6,1,13,1,8,1,17,2,10,1,8,1,9,1,7,1,9,2,24,1,8,1,9,1,13,5,9,1,12,1,13,1,29,1,28,2,29,1,28,1,30,1,29,1,30,1,29,1,6,1,7,1,28,2,10,1,17,69,16,1,17,1,16,1,11,1,9,2,8,1,9,1,8,2,13,2,7,1,6,1,30,1,28,1,13,1,17,23,16,1,17,1,16,1,17,2,16,4,11,2,9,1,11,1,9,1,11,1,16,1,9,4,11,2,9,1,16,1,11,1,9,1,11,1,9,3,16,1,11,1,16,3,17,2,16,4,9,1,11,1,16,1,11,3,16,1,11,1,9,1,11,1,16,1,9,2,11,1,16,2,11,1,16,2,11,1,16,1,9,1,16,4,11,1,16,23,11,2,9,2,11,1,13,9,6,1,9,1,13,1,9,2,13,3,9,1,11,1,9,1,11,1,16,3,17,2,16,4,11,1,9,1,13,1,9,1,13,1,9,2,13,2,9,1,13,2,9,5,13,1,9,1,7,1,6,1,30,1,29,1,6,1,7,1,30,1,13,1,6,1,7,1,16,2,11,1,9,1,16,1,11,1,13,1,9,1,6,2,13,2,11,1,9,2,13,2,6,1,13,7,9,1,13,1,9,2,13,1,9,6,11,1,9,3,11,1,9,1,16,1,11,1,9,2,28,1,30,1,28,3,30,1,13,2,9,2,13,3,30,1,9,2,11,1,16,1,13,1,9,1,13,1,9,2,16,2,17,10,16,1,17,2,16,2,9,1,11,3,9,1,16,4,9,1,11,2,16,1,11,1,10,1,9,1,11,1,16,4,17,1,11,1,16,1,9,1,10,1,11,1,9,2,11,1,9,6,11,1,10,1,11,1,9,2,13,1,6,1,13,1,6,3,7,1,6,2,13,2,6,1,13,2,29,1,13,1,7,1,13,10,7,1,13,3,6,1,9,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,10,1,13,1,10,1,11,1,16,1,11,4,10,1,11,1,16,2,11,2,16,2,11,1,17,1,9,1,16,1,11,1,16,1,11,1,16,1,10,1,17,1,11,1,16,3,11,1,17,1,16,3,17,2,16,2,17,1,16,2,17,1,16,4,17,2,16,14,17,1,16,3,17,1,16,2,17,31,16,1,17,29,16,1,17,12,16,1,17,7,16,1,11,1,17,1,16,1,17,2,16,1,17,1,16,1,11,1,17,1,16,1,17,22,16,1,17,4,11,1,9,1,11,3,13,1,8,1,13,1,8,2,9,1,10,1,17,1,16,1,17,1,11,2,10,1,11,1,12,1,16,1,9,1,11,1,13,1,9,1,6,1,13,1,8,1,9,3,13,1,11,1,9,1,10,1,8,1,11,2,9,3,16,1,9,3,11,1,9,3,13,1,8,2,9,2,8,1,9,1,13,1,10,1,9,2,10,1,6,1,9,1,13,1,9,1,7,1,6,1,9,1,8,1,13,1,9,1,8,1,13,1,8,3,13,2,9,1,8,1,11,1,9,2,13,1,8,2,9,1,11,1,13,1,9,1,8,1,9,1,13,1,9,1,10,1,11,1,9,1,11,2,8,1,9,1,8,1,9,3,11,2,16,4,17,2,11,1,16,1,11,3,16,1,17,1,16,1,11,1,16,1,11,2,16,2,9,1,11,1,16,2,11,1,16,2,17,2,16,2,9,2,11,1,9,1,11,1,9,6,16,2,9,1,13,3,8,1,13,2,9,1,13,1,8,1,10,1,13,2,10,1,13,1,9,1,8,1,9,2,8,1,9,1,8,3,9,1,13,1,9,2,8,1,13,1,9,2,8,1,13,4,9,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,9,1,8,2,13,5,8,1,9,2,8,2,9,3,8,1,9,1,8,1,9,4,8,1,9,1,8,1,9,3,13,1,8,1,9,1,13,1,8,2,9,2,8,1,9,1,13,1,10,1,9,1,13,1,9,1,13,1,9,4,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,10,1,8,2,11,1,9,1,11,3,9,2,11,1,9,1,11,1,9,1,8,1,9,2,11,1,9,7,8,1,9,2,8,1,11,1,16,1,9,2,11,4,9,2,11,1,9,3,8,1,10,1,11,1,9,2,8,4,9,2,10,1,9,1,13,1,9,1,8,1,9,7,11,1,9,1,8,1,11,1,9,4,11,1,10,1,16,1,17,2,10,1,16,1,9,1,11,1,9,7,11,1,9,1,11,1,9,6,8,1,11,1,9,1,11,2,9,1,10,1,13,1,9,1,11,1,9,1,13,1,9,2,11,1,8,1,9,2,13,1,9,1,8,1,9,1,8,2,13,2,9,1,8,1,9,3,13,1,9,2,8,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,13,2,8,1,9,2,13,1,9,2,13,1,8,1,9,2,13,1,8,1,9,5,11,1,8,1,11,1,9,1,11,1,16,1,17,2,16,1,11,1,16,2,11,2,9,1,10,1,11,1,9,2,16,1,11,1,9,1,10,1,9,1,11,1,16,1,11,1,9,1,11,1,9,1,10,1,11,1,9,6,11,2,9,1,11,1,9,2,11,1,9,2,11,1,9,2,11,1,9,1,8,1,11,1,9,3,10,1,9,3,11,1,9,2,11,2,8,1,16,1,9,2,11,2,8,2,9,3,11,2,9,3,11,1,8,1,9,2,16,1,8,2,10,1,11,1,9,1,11,2,9,2,16,1,11,2,10,1,13,1,8,1,9,9,10,1,9,7,11,1,16,2,9,1,16,1,17,2,11,1,16,1,11,3,16,1,9,1,11,1,10,1,11,2,16,1,11,1,17,1,11,3,16,2,11,1,16,1,9,1,11,2,9,1,16,2,11,1,9,1,16,1,9,1,16,2,9,2,16,1,9,2,11,1,10,1,9,2,11,3,10,1,16,3,9,1,11,1,16,1,9,1,16,1,9,2,16,3,11,1,9,2,16,2,9,1,11,1,9,1,11,2,10,1,16,1,10,1,11,1,9,1,11,2,9,2,16,1,11,1,16,1,10,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,9,2,11,4,9,2,10,1,11,1,9,1,10,2,9,1,16,1,10,1,9,1,10,1,9,5,11,2,9,1,11,1,9,6,10,2,11,3,9,1,11,1,9,2,11,1,9,2,11,2,9,1,10,1,16,1,9,2,11,2,16,1,9,7,11,3,9,1,16,1,17,1,16,1,9,1,16,1,17,22,16,2,5,757,33,1,28,2,13,1,7,1,13,2,9,1,13,2,8,1,13,1,6,3,13,1,17,4,10,1,8,1,9,2,12,1,24,2,12,1,24,2,9,1,10,1,17,1,10,1,13,2,8,2,13,1,24,1,9,1,17,1,16,2,9,2,24,1,8,1,6,2,30,2,6,1,30,1,28,1,7,1,13,1,30,2,28,1,8,1,13,1,8,2,7,1,13,3,24,1,13,1,9,1,10,1,9,1,17,2,12,1,9,1,13,1,8,1,12,1,17,1,12,1,24,1,9,1,13,1,7,1,6,1,30,1,8,1,24,1,8,1,17,1,9,1,8,1,13,2,6,2,12,1,17,1,24,1,13,2,}, {29,1,6,1,13,2,24,1,12,2,8,1,28,1,6,1,29,1,6,1,29,1,30,1,13,1,8,1,9,1,17,1,24,1,6,3,30,1,6,1,10,1,17,1,13,1,6,1,28,19,30,3,28,1,6,1,29,1,6,2,13,1,7,1,13,1,6,1,13,2,6,1,9,2,24,1,12,1,24,1,10,1,9,1,17,3,11,1,9,1,8,1,13,1,8,2,9,1,15,1,12,1,10,1,12,1,8,1,7,1,24,2,10,1,9,2,13,1,17,3,8,1,13,1,8,1,24,1,12,1,17,1,12,1,9,1,10,1,12,1,24,1,12,1,8,1,13,1,9,1,17,6,12,1,17,7,9,1,10,1,15,1,13,1,9,2,8,1,9,1,24,1,13,1,8,1,13,1,24,1,13,1,6,1,8,1,6,1,8,2,9,1,13,1,10,1,17,4,14,1,17,1,15,1,13,1,8,1,29,1,13,1,8,1,24,1,9,1,17,3,8,1,24,1,8,3,24,1,13,1,8,3,13,1,24,1,10,1,14,1,24,1,28,1,30,1,28,2,30,3,6,2,28,1,6,1,30,1,28,1,11,1,17,72,11,1,13,1,9,1,8,2,13,1,24,1,13,4,30,1,28,2,10,1,17,13,16,1,17,7,16,4,17,1,16,6,9,1,11,1,16,1,9,2,11,1,9,2,11,1,9,1,16,1,11,1,9,1,11,1,9,2,11,1,9,2,16,4,17,1,16,1,17,1,16,5,9,1,11,2,9,1,11,2,16,1,11,1,16,1,11,1,16,1,9,2,16,5,9,1,16,1,11,1,16,2,9,1,16,1,11,1,16,1,11,1,16,10,17,1,16,4,11,1,16,3,11,2,16,2,11,2,16,1,11,1,9,1,13,1,6,1,13,2,6,1,13,4,8,1,13,2,9,1,13,1,9,1,13,1,9,3,11,1,16,7,17,1,16,1,9,3,13,3,9,1,13,1,9,3,13,3,9,2,13,1,8,1,9,1,6,3,29,1,6,1,13,1,7,1,6,1,9,2,17,1,16,1,11,1,9,3,13,1,6,1,13,4,9,3,7,1,6,1,13,2,6,2,13,4,9,1,13,3,9,1,11,1,9,2,16,1,9,1,16,1,9,2,11,2,16,1,9,3,13,1,6,1,28,1,30,1,28,1,30,2,7,1,13,1,11,1,9,1,8,1,13,5,9,1,16,2,11,1,13,1,9,4,16,3,17,11,16,2,11,1,16,2,11,1,16,2,11,1,16,1,9,2,11,3,9,1,16,1,17,1,16,3,17,8,16,1,17,4,16,1,17,6,16,2,9,2,13,1,6,1,13,2,9,1,6,1,8,1,13,3,7,1,13,4,7,1,13,1,6,2,13,3,7,1,8,1,13,2,6,1,13,1,6,2,8,1,13,2,9,2,13,1,9,2,13,1,9,1,13,2,9,3,11,2,10,1,9,2,11,2,16,1,9,1,11,1,16,1,17,1,16,3,11,1,16,1,17,2,11,3,16,1,11,2,16,3,11,1,16,2,11,1,16,3,17,1,16,4,17,1,16,4,17,1,16,1,17,2,16,4,17,1,16,1,17,1,16,3,11,1,16,10,11,2,17,1,16,1,17,1,16,1,17,83,16,1,17,1,16,1,11,1,9,1,17,3,11,2,10,1,9,2,8,1,6,1,13,1,29,1,9,1,11,3,10,1,9,1,11,1,10,1,17,1,16,2,11,1,10,1,9,1,10,1,13,2,9,1,13,1,8,1,13,1,9,1,8,1,9,4,11,1,9,4,11,1,9,1,11,1,9,1,8,1,11,1,9,2,11,1,9,2,13,2,8,1,9,1,13,1,8,1,10,1,9,5,11,1,9,1,10,1,9,2,11,1,9,1,13,1,10,1,9,1,11,1,9,1,13,1,9,1,8,2,10,1,13,3,9,1,6,1,13,3,8,1,13,2,9,1,13,1,9,1,13,2,9,1,8,1,9,1,8,2,9,1,11,1,13,2,9,2,8,1,11,1,9,2,11,1,16,1,17,2,16,1,17,1,11,1,17,2,16,3,17,1,16,1,11,1,16,1,17,1,16,1,9,1,16,1,17,1,16,1,11,2,16,1,10,1,11,1,9,2,11,1,9,2,10,1,8,1,9,1,8,1,9,1,11,1,9,3,8,1,9,2,13,1,9,1,11,1,9,1,13,1,9,1,13,1,9,4,13,1,11,1,9,2,6,1,13,2,9,1,8,1,9,3,8,2,13,1,9,2,13,4,8,1,13,1,9,3,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,13,1,8,2,13,2,9,1,13,3,8,3,13,3,8,3,13,2,9,2,8,1,13,1,9,1,13,2,9,1,8,1,9,2,8,1,9,1,8,1,13,1,8,4,11,1,13,1,9,1,13,1,9,1,13,1,9,6,8,1,13,1,9,2,11,1,16,1,11,1,8,1,10,1,9,2,10,1,9,3,11,1,10,1,11,4,9,1,10,1,8,1,11,1,9,1,11,1,9,3,11,1,9,1,11,1,10,1,9,3,8,1,9,2,8,1,9,2,11,1,9,6,10,1,11,1,10,1,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,5,8,1,13,1,9,2,13,1,8,1,9,3,8,1,9,6,10,1,13,1,9,2,8,1,13,1,8,1,9,1,16,1,9,2,11,2,9,1,16,1,11,1,9,2,13,1,11,1,17,1,16,1,9,1,8,1,16,1,8,1,9,1,8,1,9,1,13,2,9,1,8,1,11,1,9,1,8,1,11,1,9,1,13,1,8,1,9,2,10,1,9,1,11,1,9,1,10,1,11,1,8,1,9,2,8,1,9,2,13,1,9,3,8,1,9,1,13,1,9,6,8,1,9,2,13,1,8,3,11,1,9,6,8,2,9,2,8,3,13,1,9,2,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,9,1,8,2,9,4,11,1,17,1,16,1,17,1,10,1,16,1,11,2,9,1,11,6,16,1,17,1,16,1,10,1,11,1,9,2,16,1,9,1,11,1,9,1,8,1,9,3,11,1,9,1,11,1,9,1,8,1,11,1,9,2,10,1,9,3,11,4,9,1,11,2,10,1,9,3,10,1,9,1,16,1,10,1,9,2,16,2,11,1,16,1,9,2,11,2,9,1,8,1,16,1,10,1,9,1,11,1,9,3,11,2,9,2,11,2,9,1,11,1,17,1,9,2,16,1,9,2,10,1,16,1,11,1,16,1,13,1,9,1,11,1,9,1,8,1,9,1,11,1,16,2,13,1,9,1,10,1,9,1,8,1,9,4,8,1,9,5,11,2,9,4,13,1,9,1,13,1,9,4,10,1,11,2,8,2,9,1,16,1,13,1,9,1,13,2,9,3,16,1,9,4,11,1,16,1,17,1,11,1,17,2,11,1,16,1,11,1,9,1,10,1,11,1,9,3,11,1,9,1,16,1,11,1,16,3,17,1,11,1,17,1,11,1,9,1,11,1,16,1,11,2,9,1,11,1,16,1,9,1,11,1,9,1,16,1,11,2,10,1,16,2,9,1,16,1,11,6,16,2,17,1,11,1,16,1,17,1,11,1,16,1,11,3,16,1,9,1,16,2,11,1,10,1,11,1,17,1,16,1,11,1,16,4,11,1,16,1,11,1,16,2,10,1,11,1,9,1,13,1,11,1,10,1,9,3,10,1,9,3,16,1,9,1,11,1,9,4,11,1,9,4,11,1,9,2,11,1,10,1,9,1,11,4,8,1,9,1,11,1,16,1,10,2,11,2,9,3,8,1,9,1,16,1,8,1,9,2,11,1,9,1,16,2,9,4,11,1,16,2,11,1,16,1,11,1,9,1,11,2,16,1,11,1,17,19,16,1,5,742,6,1,28,1,30,1,13,3,9,1,13,1,24,1,8,1,13,3,24,1,6,1,13,1,17,4,9,1,12,3,9,2,8,3,10,1,24,1,12,1,17,1,24,1,8,1,7,1,13,1,6,1,9,2,10,1,17,2,9,3,8,1,13,2,6,1,30,2,6,1,30,1,28,1,7,2,6,2,13,2,8,1,13,1,8,1,13,4,8,2,13,1,9,1,12,3,9,1,12,1,8,2,9,1,12,1,17,1,8,1,13,1,8,1,6,1,29,1,28,1,13,1,24,1,9,1,17,1,9,1,7,1,30,1,28,1,30,1,8,1,24,1,10,1,24,1,8,1,6,1,}, {29,1,6,2,13,1,24,1,9,3,7,1,28,1,6,1,30,1,29,3,13,1,17,1,9,1,7,1,13,1,6,1,30,1,6,1,13,1,9,1,12,1,9,1,30,1,28,5,30,1,28,11,30,2,28,2,6,1,7,1,6,2,29,2,30,1,7,1,13,2,6,1,24,1,8,2,24,1,10,1,15,1,24,1,10,1,12,1,17,3,9,1,8,1,9,1,13,4,15,1,12,1,17,1,9,1,12,1,8,1,13,1,9,1,17,1,11,1,13,2,9,1,17,2,8,3,24,1,9,1,17,2,16,1,17,1,9,4,12,1,10,1,17,4,14,1,17,7,12,1,17,1,15,1,9,1,24,1,8,1,10,1,24,1,10,1,8,3,13,3,8,1,13,1,7,1,8,3,13,1,24,1,9,1,17,3,14,1,17,1,14,1,10,1,8,1,13,1,7,1,13,1,7,1,13,1,24,1,17,2,12,1,9,1,24,1,13,1,8,1,24,1,10,1,8,2,24,2,8,1,11,1,14,1,11,1,24,1,30,1,28,1,29,1,30,1,28,1,6,1,28,1,30,2,29,1,30,1,28,1,6,1,12,1,17,72,8,3,10,1,24,1,13,1,8,1,6,3,29,2,28,2,10,1,17,21,16,1,17,1,16,2,17,1,16,7,11,1,16,1,11,3,9,2,16,1,9,1,16,1,9,1,16,1,11,6,9,1,11,1,16,5,17,1,16,3,11,3,16,1,11,1,16,1,9,1,16,1,9,1,16,1,9,1,16,1,11,1,9,1,11,5,9,1,16,1,11,1,16,1,9,1,11,1,16,4,9,1,16,2,11,1,16,13,11,1,16,3,11,3,16,1,11,1,16,2,9,1,13,2,6,1,13,1,6,1,13,4,9,1,13,2,8,1,9,1,13,3,9,1,11,2,16,6,17,1,16,2,9,2,11,1,13,5,9,1,8,1,13,2,9,3,8,1,13,2,6,2,7,1,6,1,7,1,6,2,13,1,11,2,16,2,11,1,16,1,11,2,13,4,6,1,13,1,9,1,11,1,13,3,6,1,13,6,9,2,13,3,11,1,9,1,16,1,9,1,11,2,9,2,11,2,16,1,11,1,9,3,30,1,28,1,30,1,28,1,30,1,13,3,9,3,13,4,9,2,13,1,9,1,16,2,9,1,13,3,9,2,16,3,17,2,16,1,17,4,16,1,17,1,16,1,17,1,16,1,11,4,16,2,11,1,16,1,11,4,9,1,11,2,17,13,11,1,17,6,16,1,17,1,16,2,10,1,17,1,16,2,9,1,8,1,13,3,6,1,12,1,9,1,6,1,13,2,7,1,13,2,6,1,13,9,8,1,13,1,6,1,13,4,9,1,13,2,9,1,13,1,9,1,8,1,9,1,13,2,8,1,9,2,10,1,9,3,11,1,16,1,11,1,9,1,10,1,11,1,17,1,16,2,11,1,16,1,11,1,16,3,17,1,9,1,11,2,16,2,11,1,17,1,16,1,11,1,17,1,16,1,11,1,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,4,17,1,16,3,17,1,16,1,17,2,16,7,17,1,11,1,16,1,17,3,16,2,17,1,16,1,17,1,16,1,17,1,16,4,11,1,16,2,11,1,16,2,17,44,16,1,11,1,9,2,17,5,16,1,17,1,10,1,17,1,9,1,7,1,13,3,9,2,11,1,9,1,16,1,11,1,9,1,11,1,9,1,13,1,9,1,8,1,13,1,11,1,9,3,16,1,17,3,16,2,17,1,11,1,16,1,11,2,16,2,11,1,17,1,11,1,16,1,11,1,16,1,17,8,11,1,17,1,16,1,17,1,11,1,16,1,11,1,16,1,17,1,16,1,17,1,11,1,16,1,9,1,8,1,13,1,8,1,6,1,13,1,9,2,11,1,13,1,9,1,8,1,9,1,12,1,8,2,9,3,13,2,9,1,16,1,13,1,8,2,11,1,9,1,11,1,9,2,13,1,9,2,11,1,9,5,13,1,9,2,13,1,8,2,9,1,8,1,9,1,8,1,9,1,8,1,13,1,6,1,13,5,9,1,6,1,8,1,13,1,7,1,9,1,8,1,9,1,8,1,11,1,9,1,8,1,11,1,8,1,9,1,7,1,13,1,9,1,13,1,10,1,16,1,9,1,16,3,17,1,16,1,17,1,16,3,17,1,16,3,11,1,10,1,16,2,9,2,13,2,8,1,9,2,8,2,13,4,8,1,13,1,9,1,8,2,11,1,8,1,13,1,9,1,13,1,8,1,13,1,8,2,9,1,13,1,9,2,8,2,13,3,9,2,13,2,9,2,13,1,9,3,8,1,9,1,13,1,8,4,13,1,8,1,13,1,8,1,13,1,9,1,13,2,9,1,13,1,8,4,13,5,9,1,13,2,9,2,13,3,9,1,13,1,9,3,8,1,13,2,8,1,13,2,8,2,9,2,13,1,8,1,13,1,8,1,13,1,8,2,13,4,9,1,13,1,8,1,13,1,9,2,13,1,9,1,8,1,10,1,9,3,8,1,9,2,16,1,9,3,11,2,9,1,11,2,9,2,10,1,11,2,8,1,9,4,8,1,9,2,10,1,13,1,9,4,10,1,9,3,11,1,9,1,11,1,9,3,8,1,10,1,9,1,8,1,9,1,8,1,13,1,8,1,9,2,11,1,9,1,11,2,10,1,16,1,9,1,16,1,8,1,11,1,10,1,9,1,10,1,9,1,11,1,9,5,13,2,8,1,9,2,8,2,9,2,8,1,9,3,10,1,9,1,8,1,9,5,8,1,9,1,11,1,8,1,16,1,9,1,11,3,9,2,17,3,11,1,9,2,8,1,9,2,8,1,9,3,11,1,8,1,9,2,10,1,13,1,9,1,11,1,9,3,11,1,8,1,11,1,9,4,11,1,10,1,9,1,11,1,10,1,9,2,10,1,9,1,8,1,9,2,8,1,9,3,8,1,11,1,9,4,10,1,9,1,8,1,9,1,13,1,9,2,13,1,8,1,13,3,8,1,13,2,9,1,13,2,8,1,13,3,9,2,8,1,9,1,8,1,11,1,8,1,9,2,8,1,9,2,11,1,9,1,11,1,16,1,17,1,16,1,11,2,9,1,11,1,9,1,11,1,9,1,16,1,9,1,16,1,11,1,16,1,17,2,10,1,11,3,16,1,9,3,11,1,9,3,11,4,9,1,16,1,10,1,11,1,9,5,8,1,9,5,11,1,10,1,9,1,11,1,10,4,9,1,11,1,16,2,11,1,9,2,16,1,11,1,9,1,11,1,16,1,11,1,9,2,11,2,9,1,8,1,13,1,11,1,16,1,9,2,11,1,16,1,9,1,11,1,10,1,16,1,11,1,9,1,11,1,16,1,11,2,9,2,11,1,16,2,10,1,9,1,11,1,9,1,16,1,9,1,8,1,9,2,10,1,8,1,9,2,8,1,9,2,10,1,9,4,16,1,9,7,8,1,9,1,11,1,9,6,13,1,9,1,13,2,9,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,11,1,13,3,8,1,13,4,8,4,9,2,8,2,11,2,9,3,10,1,9,1,11,4,9,1,11,5,16,2,9,1,11,1,9,1,10,1,9,1,11,1,16,2,11,1,16,1,11,3,16,1,9,1,16,2,9,1,16,2,17,1,16,6,11,1,16,2,9,1,16,2,17,1,11,1,16,2,11,1,17,1,11,1,16,4,17,1,9,1,10,1,16,1,11,1,16,1,11,1,17,1,16,3,11,1,16,2,11,8,16,1,11,2,16,1,11,7,10,1,16,2,9,2,10,1,9,1,11,2,9,1,10,1,8,1,9,19,11,1,9,1,8,2,9,1,8,1,9,1,13,2,9,2,11,1,8,1,9,1,11,4,16,2,11,1,16,1,11,1,17,3,16,1,17,1,16,1,17,1,16,6,17,2,5,734,28,2,6,1,7,1,8,1,13,1,9,2,8,1,13,1,8,1,13,1,29,1,28,1,13,1,8,1,17,3,12,1,8,1,24,1,9,1,12,1,24,1,10,1,8,1,9,1,24,1,8,2,15,1,17,1,12,1,29,1,13,2,30,1,8,1,10,1,17,3,12,2,9,1,24,1,12,1,6,1,29,1,7,1,6,1,30,1,29,1,6,1,30,1,13,1,6,1,29,1,7,1,13,2,8,1,13,3,8,1,7,2,13,1,24,1,13,1,9,1,10,1,12,1,24,1,10,1,8,2,12,1,17,1,24,2,13,1,7,1,29,1,28,1,30,1,7,2,10,1,12,2,28,2,29,1,28,2,13,1,9,1,8,1,13,1,30,1,}, {30,1,6,1,13,1,8,2,15,1,12,1,13,1,29,1,28,2,29,3,6,1,8,1,12,1,24,1,9,1,6,1,29,1,7,1,30,1,8,1,24,1,14,1,8,1,28,2,30,1,28,12,30,1,29,1,28,5,29,1,30,1,6,1,30,1,6,1,30,1,13,1,29,1,13,1,6,1,8,1,13,1,8,3,12,1,9,2,12,1,17,4,16,1,11,1,8,1,13,2,24,1,8,1,17,4,24,1,13,1,9,1,8,1,11,1,9,1,24,1,9,2,14,1,17,1,24,1,8,1,10,1,8,1,15,1,12,1,17,1,9,1,16,1,8,2,9,1,10,1,11,1,17,13,16,1,14,1,16,1,9,1,15,1,11,1,9,3,24,1,8,1,6,2,9,1,6,1,13,1,24,2,8,1,13,1,8,1,24,1,10,1,9,1,17,2,14,1,17,1,14,2,8,1,9,1,13,2,8,4,17,2,9,1,8,2,13,1,8,5,9,2,8,2,9,1,15,1,24,1,29,1,30,1,29,1,28,1,30,2,28,1,29,1,6,3,28,2,9,1,17,72,9,1,29,1,6,1,8,1,13,1,24,1,13,1,28,7,9,1,17,18,16,2,17,1,16,2,17,3,16,8,11,1,9,1,11,1,9,1,16,1,11,4,9,1,16,1,9,1,11,1,16,1,11,1,16,3,11,1,16,13,11,3,16,1,11,1,16,1,11,5,9,1,16,2,11,3,9,1,16,3,9,2,16,4,11,1,16,13,11,1,16,2,11,1,16,1,11,1,16,1,11,2,16,1,9,2,11,2,9,1,13,15,11,5,16,1,11,1,17,1,16,4,11,1,9,3,13,3,6,1,13,2,9,1,10,1,9,1,8,1,9,1,11,1,8,1,7,1,6,1,13,1,6,3,13,2,11,1,16,4,11,1,9,3,13,2,6,1,13,3,11,1,13,3,6,2,13,2,6,1,13,3,9,1,13,3,9,3,11,2,9,1,11,2,9,1,11,1,9,1,11,1,9,3,13,1,28,3,30,1,6,1,13,2,9,1,11,1,13,1,9,1,13,1,6,1,13,3,9,3,16,2,9,1,13,4,11,1,16,3,17,2,16,1,17,1,16,1,17,6,16,1,11,5,10,1,11,1,16,2,11,1,16,1,11,1,16,1,17,18,16,1,17,3,16,1,17,1,16,2,17,4,11,1,9,1,13,4,9,1,13,1,9,2,8,1,29,1,13,2,6,1,13,1,7,1,6,1,13,1,29,1,13,3,6,1,13,3,7,1,13,1,9,1,8,1,13,1,9,1,13,1,9,2,13,1,9,2,8,1,9,2,10,1,9,3,11,1,9,1,16,1,9,1,11,1,16,2,11,1,16,1,11,1,16,1,11,2,16,6,11,2,16,1,11,3,17,1,16,1,17,1,16,2,17,1,16,2,17,3,16,1,17,1,16,1,17,2,16,1,17,1,11,1,17,1,16,4,17,1,16,1,17,1,16,2,17,1,11,1,16,4,17,1,16,2,17,1,16,1,17,1,16,1,17,4,16,2,17,1,16,1,11,1,16,2,11,2,17,7,16,1,17,17,16,1,17,4,9,2,8,1,9,1,8,1,9,3,8,1,13,1,6,2,7,1,13,1,6,1,13,2,6,2,30,1,9,3,8,1,11,1,16,1,17,1,11,1,16,1,17,2,16,1,11,1,16,1,17,11,16,1,17,7,16,1,17,1,11,1,16,2,11,1,16,1,17,1,11,1,17,1,16,2,11,1,16,1,11,1,16,2,17,4,11,4,17,1,11,2,16,1,17,1,11,1,16,3,17,1,11,1,16,1,11,2,12,1,11,1,9,5,11,1,9,1,11,1,16,1,11,1,17,3,16,1,17,1,16,1,17,2,16,5,17,1,16,1,11,1,16,1,17,1,16,2,10,1,16,1,17,1,11,1,17,2,16,3,17,1,11,3,16,1,9,4,13,1,9,3,10,1,13,1,9,2,8,1,9,2,8,1,9,1,8,3,9,1,8,1,10,1,11,2,10,1,9,1,11,1,9,6,8,1,9,1,17,2,16,3,9,1,8,1,9,3,11,1,9,1,11,1,9,1,8,1,9,5,11,1,9,2,13,1,9,1,13,1,9,1,8,1,9,2,13,1,9,3,13,1,9,1,13,1,8,1,9,1,8,3,13,1,9,1,13,2,9,3,13,1,9,1,13,5,8,2,13,3,8,1,9,1,7,1,9,1,13,2,9,1,13,3,8,1,13,5,8,1,9,1,13,1,9,1,13,2,9,1,13,1,9,1,13,2,8,1,9,1,13,1,8,1,13,1,8,1,9,2,8,1,13,4,8,2,9,1,8,2,13,1,8,2,9,1,8,1,13,2,8,1,9,1,8,1,13,2,9,1,13,1,9,1,13,1,9,6,8,2,11,1,9,5,10,1,9,1,16,2,9,1,10,1,9,1,11,1,9,2,13,1,9,1,16,1,9,4,11,2,16,1,8,1,9,5,10,1,16,1,9,2,16,1,11,1,16,1,9,4,16,1,9,1,11,1,10,1,9,1,11,1,9,2,13,1,8,1,9,1,8,1,9,1,16,1,9,1,11,2,9,1,11,3,9,1,10,1,9,1,8,1,9,5,13,1,11,1,9,1,8,1,9,2,8,1,9,1,8,1,13,1,9,12,8,1,9,2,11,3,9,1,10,1,8,1,10,1,17,2,9,1,13,1,9,6,11,1,8,1,9,2,11,1,9,2,13,1,11,1,9,1,8,1,9,1,8,1,9,5,8,1,11,1,9,1,16,1,9,6,8,1,9,1,13,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,6,10,1,9,1,13,2,8,1,13,1,9,2,13,1,9,1,13,3,9,3,8,3,11,1,8,1,9,1,13,1,8,2,9,7,10,1,9,2,16,2,17,1,11,1,10,1,9,1,16,1,10,3,9,1,11,2,16,1,9,1,16,1,17,1,16,1,11,1,9,1,11,1,10,1,8,1,9,7,10,1,9,4,10,1,8,1,9,3,8,1,9,1,8,2,9,3,11,1,9,8,16,1,9,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,11,6,9,1,11,1,8,2,9,1,11,1,13,1,16,1,9,1,11,3,16,1,11,1,17,1,11,1,16,1,17,1,16,3,11,2,9,2,17,1,9,3,11,1,9,5,16,1,11,4,16,1,11,2,8,1,10,1,11,2,9,2,11,1,9,1,11,1,10,1,9,1,11,1,9,1,8,1,11,1,9,12,16,1,13,1,9,2,11,1,13,1,9,2,13,1,11,1,8,1,9,3,8,1,9,2,8,1,9,8,8,1,9,1,10,1,8,1,11,1,17,1,11,1,9,1,16,1,11,1,9,3,10,1,11,1,8,1,11,1,9,1,13,1,11,1,9,1,16,1,9,3,11,1,9,1,11,1,9,1,16,1,9,1,16,4,17,2,11,1,17,2,16,3,11,1,17,1,16,1,11,4,16,5,11,1,17,1,16,1,11,1,16,1,17,1,16,3,11,2,16,1,11,2,16,2,9,1,16,2,9,1,16,3,11,1,17,1,11,1,16,2,11,1,16,8,11,2,17,1,11,1,16,3,11,2,17,1,9,1,11,1,9,1,16,2,11,1,16,1,9,2,11,1,9,2,11,2,9,2,11,1,10,1,9,4,10,1,9,1,11,1,9,5,8,1,9,1,8,1,9,1,10,1,11,1,9,1,8,1,9,4,11,1,9,2,11,2,9,1,11,3,16,2,11,1,16,2,9,1,16,3,9,1,17,1,16,20,5,17,17,1,5,14,17,1,5,1,16,2,5,1,17,1,5,674,28,3,30,1,13,1,8,3,24,1,13,2,6,1,29,1,28,1,6,1,13,1,17,4,9,1,10,1,12,1,10,1,24,1,9,2,24,1,13,1,24,2,11,1,17,1,12,1,6,1,29,1,6,1,29,1,13,2,9,1,17,1,16,1,9,1,10,1,24,3,8,1,7,1,29,2,6,1,7,1,6,1,30,1,13,2,29,1,13,1,24,1,13,6,6,1,8,1,13,1,8,1,10,1,9,1,17,2,9,2,6,1,13,1,9,1,17,1,24,1,8,1,7,1,29,1,30,1,28,2,6,1,13,1,9,1,24,2,28,3,30,1,6,1,30,1,24,1,13,2,6,1,}, {28,1,6,1,13,1,8,2,12,2,24,1,6,1,30,1,6,3,29,2,9,1,24,2,8,1,13,2,8,1,6,1,13,1,9,2,13,1,6,1,28,10,6,1,29,1,30,1,29,1,28,1,30,1,29,2,28,2,29,1,28,1,29,1,7,1,6,1,13,1,6,1,8,1,30,1,6,1,7,1,29,1,24,1,13,2,8,1,9,1,13,1,17,1,24,1,17,4,10,1,8,1,10,1,7,1,9,1,13,1,8,1,15,1,17,2,9,1,13,1,24,2,9,1,13,1,9,1,8,1,24,1,10,1,17,1,15,1,13,1,24,1,7,1,8,1,10,1,17,1,12,1,17,1,13,1,10,1,24,1,9,1,10,1,12,1,9,1,17,11,10,1,11,1,14,1,24,1,11,1,15,1,8,1,9,2,8,2,13,1,8,1,13,1,8,1,24,1,13,1,9,1,13,1,8,2,29,1,13,1,24,1,9,2,14,2,17,2,14,1,12,1,9,2,13,1,7,1,13,1,7,1,24,1,12,1,17,1,12,1,8,1,7,1,9,1,13,1,8,1,9,1,13,1,24,1,7,1,9,1,6,1,15,1,9,1,15,1,8,1,30,2,29,1,28,1,30,1,29,1,30,3,28,1,6,1,28,2,9,1,17,72,9,1,6,1,13,1,8,2,13,3,30,3,28,3,10,1,16,2,17,1,16,2,17,3,16,1,17,1,16,2,17,3,16,1,17,2,16,12,11,2,16,1,11,1,9,2,16,1,11,1,9,1,16,1,11,2,16,1,9,2,11,1,16,1,11,2,16,5,17,1,16,3,17,1,16,2,17,1,16,2,11,2,9,1,16,1,11,5,9,2,11,3,16,2,11,3,16,1,9,1,11,3,9,2,11,1,16,1,11,1,17,1,16,1,11,1,16,1,9,1,16,1,11,1,16,4,11,1,16,4,11,1,16,2,9,4,11,2,9,1,11,2,16,1,9,1,13,1,6,1,30,1,6,1,13,1,6,1,13,2,9,1,13,1,9,1,13,1,9,1,6,2,9,2,11,1,9,1,16,2,11,1,16,2,17,1,16,2,9,4,13,1,9,1,13,4,11,1,9,2,11,1,9,2,7,2,29,1,6,3,7,1,13,1,11,1,17,1,16,1,11,1,16,2,9,3,13,6,11,1,9,1,13,1,30,1,13,5,6,1,13,2,9,2,13,1,9,1,13,1,9,2,11,1,9,2,11,1,9,2,16,1,11,1,9,2,13,1,30,1,28,5,6,1,9,2,13,1,11,1,13,1,9,1,13,7,9,1,16,2,9,1,13,3,9,2,16,3,17,2,16,1,17,8,16,5,11,1,16,3,11,1,16,1,17,1,16,1,17,27,16,1,17,4,16,2,13,2,12,1,9,1,8,1,9,1,8,1,9,2,13,3,6,1,13,3,6,1,13,1,7,1,13,6,9,2,13,2,9,3,11,1,9,1,11,1,9,4,11,1,9,2,10,1,9,1,11,1,9,1,11,2,16,2,11,1,9,1,11,1,9,1,17,1,9,1,11,2,16,1,11,1,16,1,11,1,16,1,17,1,11,2,16,1,17,1,11,2,16,1,17,1,16,7,17,1,16,1,17,1,11,1,16,2,17,1,16,5,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,3,11,1,16,3,17,1,11,1,17,1,16,1,17,1,16,2,17,1,16,1,11,1,16,1,11,2,16,7,11,2,17,12,11,1,17,1,11,1,13,2,8,1,9,1,11,1,10,1,16,3,17,1,11,1,16,1,9,1,8,1,9,1,8,1,9,5,11,2,9,1,11,2,9,1,16,1,17,1,16,6,11,1,17,8,16,1,17,1,16,2,17,1,16,4,11,1,16,4,11,1,17,5,16,1,17,3,16,3,17,1,16,2,17,1,16,1,17,1,16,1,17,6,16,2,17,2,16,1,10,1,17,1,11,1,17,1,16,1,11,1,17,1,16,1,17,2,16,4,11,2,12,1,9,1,10,1,17,2,10,2,9,1,11,1,17,7,16,4,17,1,16,1,17,2,16,3,9,1,17,1,16,1,17,2,9,2,11,5,9,1,8,1,9,1,13,2,9,1,13,3,8,2,13,2,8,1,9,1,13,1,9,3,8,1,9,3,11,2,9,2,10,1,16,1,10,1,11,1,16,1,11,1,9,1,11,4,16,2,17,1,11,1,9,1,8,1,9,1,8,1,13,1,9,4,11,1,9,1,13,1,11,1,9,2,8,1,9,1,11,1,9,1,11,1,9,7,11,1,9,1,8,1,9,2,13,1,9,2,11,1,10,1,9,1,8,1,9,1,13,1,9,2,8,2,13,1,8,2,9,2,13,1,8,1,9,1,13,2,8,1,13,1,9,1,11,1,9,1,13,1,8,1,9,1,13,2,9,1,8,1,9,2,13,2,9,1,13,2,9,1,13,2,9,1,13,1,9,2,13,2,8,1,13,1,9,5,13,1,9,1,13,1,8,1,13,1,9,2,8,1,13,1,9,1,8,2,13,1,9,2,13,1,9,1,8,1,13,3,9,1,13,1,11,1,9,5,8,1,9,3,11,1,9,2,8,1,9,2,8,1,11,1,9,5,16,2,9,1,11,2,10,1,8,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,13,1,9,3,10,1,9,1,11,1,9,2,16,1,9,1,11,1,9,1,11,1,9,2,11,2,9,4,11,1,9,1,8,1,9,2,10,1,9,3,11,1,10,1,11,2,16,1,9,1,17,1,11,2,16,1,9,1,16,1,11,2,16,1,9,1,13,1,9,2,8,1,9,3,8,1,9,6,8,1,9,1,11,1,9,2,16,1,13,1,9,3,8,1,9,1,8,2,16,1,9,1,11,1,16,1,9,1,11,3,17,1,11,2,9,2,11,1,9,2,13,1,11,1,9,3,11,1,9,1,8,1,11,2,9,1,13,1,9,1,8,1,11,2,9,1,13,1,9,1,8,1,9,6,10,1,9,2,11,1,9,4,11,1,9,7,13,1,9,2,11,1,9,3,8,1,9,1,13,1,9,3,13,3,8,1,13,1,8,1,9,2,13,1,9,2,8,1,9,1,10,1,9,1,13,1,9,1,8,1,11,1,13,1,9,1,10,2,9,1,10,1,16,1,17,2,9,1,11,1,9,2,10,1,9,3,11,1,10,1,9,3,17,1,16,3,11,5,9,14,13,1,9,1,11,1,9,2,11,1,9,1,11,2,9,1,11,1,9,2,8,1,9,4,11,1,9,2,13,1,10,1,9,4,11,2,8,1,9,1,11,1,9,3,11,2,9,4,16,1,11,1,16,1,10,1,16,2,11,2,9,1,11,1,16,2,11,3,16,3,8,1,11,2,16,1,9,1,8,1,16,1,9,1,13,1,16,1,9,2,16,1,11,1,16,1,9,6,8,1,9,5,11,1,9,1,11,2,9,2,11,1,9,2,11,1,9,2,11,1,10,1,11,1,9,2,8,1,9,1,13,1,8,1,13,1,9,1,8,1,11,1,8,1,9,3,8,1,9,2,8,1,9,1,8,2,9,6,10,1,9,1,16,1,9,1,11,1,16,2,9,4,8,1,9,2,13,1,9,2,13,1,8,1,13,1,9,1,8,2,9,13,11,1,16,1,11,1,9,1,11,1,9,1,10,2,11,1,10,1,16,1,17,1,11,1,16,1,11,1,9,1,16,1,9,1,16,1,11,1,17,2,16,1,17,1,16,2,11,1,16,2,17,1,11,1,16,4,17,1,11,4,16,5,11,1,16,2,11,1,16,4,17,1,11,1,16,1,11,1,16,9,11,1,16,2,11,1,16,3,11,2,10,1,9,1,17,1,9,1,16,3,11,2,16,1,17,1,11,3,16,1,9,2,10,1,16,1,9,1,16,1,11,1,9,3,11,2,9,4,10,1,9,3,16,1,9,1,11,1,9,1,16,1,17,1,16,9,17,2,16,1,17,1,16,2,11,2,16,3,11,1,16,4,9,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,11,4,16,3,17,1,16,2,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,1,17,2,16,2,9,1,16,2,17,24,16,1,11,1,16,2,17,2,16,1,5,1,17,1,5,13,33,5,5,634,28,3,7,1,6,1,8,1,9,1,24,1,8,1,6,1,13,1,6,2,13,2,8,1,17,4,24,1,12,1,17,2,15,1,24,1,8,1,12,1,10,1,8,1,10,1,24,1,15,1,9,1,6,1,7,1,29,2,9,1,13,1,16,2,17,1,12,1,9,1,8,1,24,1,8,1,6,3,7,1,6,1,30,1,6,2,13,2,6,1,8,4,13,1,6,1,13,1,6,1,13,2,8,1,9,1,11,1,17,3,11,1,9,1,13,1,9,1,11,1,17,1,12,2,13,1,7,1,6,1,28,2,29,1,13,1,24,1,15,1,12,1,28,1,30,1,28,1,29,1,6,1,13,3,28,1,30,1,}, {30,1,6,1,29,1,13,1,8,1,24,2,10,1,30,1,28,1,6,2,29,1,8,1,6,1,13,1,17,1,11,1,8,2,13,1,7,2,13,1,9,1,15,1,13,1,29,1,28,9,29,2,6,3,28,1,6,1,28,2,29,2,30,2,6,1,8,1,29,2,7,1,6,1,7,1,13,2,7,2,13,1,6,1,13,1,9,2,15,2,17,4,11,1,8,3,24,1,8,2,10,1,17,1,24,1,9,1,24,1,8,1,9,1,10,1,9,1,10,1,24,2,12,1,14,2,10,1,8,1,7,1,24,2,17,2,14,1,10,1,9,1,8,1,9,1,10,1,15,1,12,1,17,5,11,1,17,4,16,1,17,1,16,1,12,1,17,1,11,1,16,1,9,1,8,2,10,1,8,2,13,2,8,1,24,1,6,1,13,3,6,1,8,3,15,1,12,1,14,1,17,2,14,2,15,1,9,3,13,1,8,2,12,1,17,2,10,2,8,1,13,3,8,1,24,2,7,1,9,1,8,1,13,1,9,1,15,1,9,1,30,1,28,1,29,1,28,1,30,1,28,1,6,1,30,1,28,1,7,1,29,1,6,1,7,1,12,1,17,62,16,1,17,9,9,1,28,1,8,2,13,2,30,3,28,5,8,1,11,1,17,15,16,2,17,1,16,1,17,1,16,12,9,1,11,2,9,3,16,2,9,2,11,1,9,1,11,1,9,1,11,1,16,14,11,1,16,2,11,1,9,2,11,2,9,1,16,1,9,1,11,1,16,1,9,1,16,1,11,2,9,1,16,1,11,1,9,1,11,1,9,2,16,1,11,2,9,2,11,1,16,6,11,1,16,3,11,1,16,4,11,1,16,1,9,1,11,1,9,2,8,1,13,1,9,2,13,2,9,5,13,2,6,3,13,1,6,1,8,1,9,3,13,3,9,1,11,2,16,1,11,2,16,6,11,1,13,1,9,2,13,4,9,6,13,3,6,3,13,1,7,1,29,1,9,1,16,1,9,1,16,1,11,1,16,1,11,3,13,4,6,2,13,1,9,1,13,3,30,1,13,2,28,1,6,1,13,1,6,1,13,1,9,2,6,1,13,2,9,4,11,1,9,2,16,1,9,3,13,1,30,1,6,1,28,3,6,1,13,2,9,2,11,1,9,1,13,2,7,1,9,1,13,1,9,2,13,3,11,1,16,2,9,1,13,3,9,1,16,5,17,2,16,1,17,43,16,2,17,2,9,1,16,1,17,2,16,1,17,1,16,1,9,1,7,1,13,1,9,1,13,2,8,2,9,1,13,2,7,1,13,1,6,1,13,1,29,1,8,1,13,5,8,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,11,1,9,2,11,1,8,1,9,1,8,1,9,1,16,1,8,1,10,1,11,2,9,1,11,1,9,1,11,2,9,1,11,1,16,2,11,3,16,1,11,5,16,2,11,1,16,2,11,1,16,6,17,1,16,2,11,1,16,2,17,2,11,1,16,1,9,1,16,1,17,1,16,2,17,2,16,1,17,3,11,1,17,1,16,5,11,2,16,3,11,1,16,7,17,1,16,4,17,2,16,4,11,1,17,1,11,2,13,4,28,1,9,1,13,1,7,1,8,2,11,1,9,3,11,2,16,1,17,12,16,1,17,1,16,2,17,2,16,4,9,1,16,1,9,1,17,1,11,1,16,2,11,1,16,1,17,11,16,1,11,1,10,1,16,1,17,1,16,1,17,1,11,1,17,2,16,2,17,2,16,1,17,1,16,1,17,6,11,1,17,2,16,2,17,1,16,1,17,2,16,1,17,6,12,1,17,5,16,1,17,2,16,1,17,1,16,1,17,5,16,1,12,1,16,1,17,3,11,2,16,1,11,1,16,2,11,1,16,1,10,1,16,2,9,1,10,1,11,1,9,1,11,1,10,1,16,1,11,1,9,2,11,2,9,1,11,1,10,1,16,1,9,8,8,1,9,2,8,1,11,1,9,1,13,1,9,1,13,3,9,4,16,1,9,4,11,1,9,1,11,1,8,1,9,1,11,1,9,6,11,2,9,1,16,1,9,1,16,1,9,1,16,1,9,2,11,1,9,2,8,1,9,1,11,1,9,3,13,1,11,1,9,4,8,1,7,1,11,1,9,3,10,1,8,1,9,4,11,1,8,1,9,1,11,2,9,1,13,1,9,1,8,1,10,1,9,3,13,4,8,1,13,3,8,2,13,2,9,1,13,2,9,1,13,2,9,3,13,1,9,2,8,1,13,1,9,3,8,1,13,1,9,1,13,3,9,3,13,3,9,1,8,1,9,2,11,1,9,5,16,1,9,2,10,1,8,1,11,1,9,1,8,1,13,1,9,2,13,1,9,1,13,1,9,2,8,1,9,5,10,1,9,1,8,1,9,3,8,1,9,5,10,1,8,1,9,1,13,1,8,1,9,1,13,1,9,2,11,1,9,1,11,2,9,1,16,1,9,1,11,1,9,4,11,1,9,6,13,1,11,1,9,1,8,1,9,3,11,1,9,3,16,1,10,2,9,1,11,3,9,1,10,1,9,1,11,1,9,3,13,1,10,1,9,1,11,1,9,1,10,1,11,1,9,2,10,1,9,1,16,2,11,1,9,1,11,2,9,1,11,2,9,4,8,2,13,1,11,1,13,1,9,3,8,1,9,1,10,1,8,1,10,1,11,1,8,1,9,3,13,2,9,1,8,1,9,1,11,1,9,1,13,1,10,1,9,1,8,1,16,1,11,1,16,1,10,1,9,1,11,1,9,1,13,1,9,1,13,1,9,1,10,1,9,2,13,1,11,3,9,13,8,1,9,3,11,1,9,13,8,2,9,1,8,1,16,1,13,1,11,1,9,1,13,1,9,4,13,1,9,3,13,2,9,5,8,1,10,1,9,1,16,1,9,4,8,1,9,1,13,1,9,2,11,3,8,1,11,1,17,1,16,1,17,1,9,1,11,2,9,2,11,1,8,1,9,1,11,1,9,1,10,1,11,1,8,1,16,1,9,1,11,1,16,1,11,2,9,2,11,1,10,1,11,1,9,1,11,1,10,1,11,2,9,6,8,1,9,4,8,1,9,2,11,1,9,2,11,1,9,1,8,1,13,1,11,1,9,3,8,2,9,1,13,1,11,1,13,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,9,4,10,1,9,4,11,1,16,1,10,1,16,1,11,6,16,3,11,1,9,1,11,2,9,1,11,4,16,2,8,1,11,2,16,1,11,1,16,1,9,2,16,1,11,1,9,1,16,1,9,1,8,1,9,1,16,1,9,2,10,1,9,1,11,1,16,1,9,1,11,2,10,1,9,1,11,1,9,2,8,1,10,1,9,2,10,1,16,1,9,2,16,1,9,3,11,1,9,2,11,1,9,2,8,1,9,4,11,1,9,4,11,1,13,1,9,4,16,1,9,1,11,1,9,1,16,2,9,2,11,1,10,2,8,1,13,1,8,1,9,3,8,1,13,2,9,1,8,1,13,1,9,1,13,1,9,1,8,2,13,1,9,2,13,1,8,1,13,1,9,1,16,1,9,1,16,1,9,3,11,1,9,3,11,2,9,2,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,3,11,1,9,1,11,1,13,1,16,1,9,2,11,1,9,2,10,1,16,1,10,1,9,1,11,1,16,1,11,1,16,4,11,2,16,1,11,1,16,2,17,1,16,4,17,1,16,8,11,1,16,2,11,2,9,1,17,1,11,1,16,2,9,2,16,1,11,2,16,1,11,1,16,4,10,1,17,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,3,17,1,10,1,16,2,11,5,16,2,9,1,11,1,16,1,11,1,16,1,11,1,16,3,11,3,16,2,11,1,17,1,16,18,11,2,9,1,11,1,9,1,11,3,16,5,11,1,16,1,11,1,16,1,11,1,9,3,13,2,9,1,11,1,9,8,11,3,16,1,9,1,11,1,9,1,16,5,11,2,9,1,16,3,17,1,16,1,17,21,16,1,17,1,16,1,17,11,16,1,17,1,16,1,5,1,16,1,5,624,28,3,6,1,13,1,8,1,13,1,8,2,13,1,8,1,7,1,30,2,13,1,9,1,17,4,9,1,10,1,12,1,8,2,12,1,13,1,12,1,13,1,9,1,24,2,15,1,13,1,7,1,30,1,7,1,30,1,24,1,8,1,17,1,16,1,9,1,10,1,9,2,7,1,24,2,29,1,6,1,30,1,8,1,7,1,13,3,30,2,6,1,24,1,7,1,24,1,13,3,6,1,13,1,6,1,8,1,13,1,9,2,17,2,12,1,9,1,8,1,9,1,12,1,17,1,12,1,24,1,8,1,30,1,6,1,30,1,29,1,24,1,8,1,24,1,10,1,8,1,29,1,28,2,6,2,13,1,8,1,13,1,6,1,28,1,}, {29,1,7,1,13,1,7,1,24,1,8,1,9,1,24,1,13,1,29,1,6,1,30,1,8,1,29,2,8,1,12,1,17,1,13,2,8,1,6,1,13,1,6,1,9,1,14,1,24,1,30,1,28,9,6,1,13,1,29,1,6,2,30,1,29,1,28,1,30,1,29,1,6,1,30,2,6,2,30,1,7,1,6,1,8,1,13,1,7,1,28,1,13,2,7,1,8,1,13,1,12,1,17,1,10,1,17,5,16,1,8,1,9,1,13,1,9,1,24,1,6,1,17,1,12,1,17,1,24,1,13,1,8,1,13,1,8,2,24,1,9,1,13,1,9,1,17,1,12,1,13,1,8,2,6,1,10,1,17,4,11,1,9,1,8,1,24,1,17,1,12,1,17,12,11,1,17,1,12,1,11,1,9,3,10,1,9,1,13,2,8,1,6,1,29,1,8,3,13,1,24,1,13,1,9,1,13,2,12,2,17,1,14,5,15,1,9,1,24,1,13,1,9,2,8,1,9,1,17,1,9,1,8,2,24,1,13,1,9,1,24,3,9,1,24,1,8,2,12,1,14,1,8,1,30,2,28,1,30,1,28,1,6,1,30,2,6,1,29,1,6,2,13,1,12,1,17,72,8,1,30,1,6,1,7,1,29,1,13,1,30,1,29,1,28,3,29,1,28,2,9,1,16,1,17,13,16,14,11,2,16,1,9,1,11,2,16,1,11,3,9,3,11,1,16,1,11,1,9,2,11,2,16,9,11,1,16,6,11,1,13,1,9,2,16,1,11,1,16,1,11,3,9,1,11,1,9,2,16,1,11,2,16,1,9,2,11,1,9,1,11,2,9,1,11,4,9,1,16,10,11,1,16,2,11,1,9,1,11,1,9,1,13,2,6,1,30,1,13,7,9,1,11,1,9,1,6,2,13,2,6,1,13,5,9,1,13,3,9,2,16,1,11,2,16,7,13,1,11,1,9,3,13,2,9,1,13,1,9,2,8,1,9,3,13,1,6,1,13,2,6,1,30,1,9,2,16,1,11,1,16,3,11,1,9,2,13,2,30,1,6,1,13,1,30,1,13,3,6,1,30,1,13,1,30,1,6,1,13,2,6,1,9,3,13,4,9,1,13,1,11,1,9,2,16,1,11,1,9,3,13,2,28,5,13,3,9,3,13,8,9,1,13,1,9,1,16,2,11,1,9,1,13,4,9,1,17,1,16,4,17,45,16,2,17,3,16,1,17,5,11,1,10,1,8,1,9,1,13,1,9,2,8,4,13,1,8,1,6,1,13,1,8,1,7,1,8,1,13,1,6,1,13,5,9,1,13,1,8,1,9,1,8,1,11,1,9,1,11,2,9,4,11,1,8,1,11,1,16,1,9,2,11,1,16,1,17,1,11,2,10,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,11,1,16,2,9,1,16,1,11,1,16,1,11,1,16,1,11,2,16,6,11,1,16,3,17,1,16,4,17,1,11,1,17,1,11,1,17,1,16,2,11,1,17,1,11,1,16,2,17,1,16,1,17,1,16,5,17,1,16,4,17,1,16,7,11,1,17,1,16,6,11,1,17,3,16,2,11,1,13,1,6,1,13,1,9,1,11,2,16,1,17,14,16,1,17,2,16,1,17,1,16,1,17,3,16,1,17,4,16,1,9,1,16,4,17,1,11,1,17,1,11,2,17,1,16,1,17,5,16,2,17,1,16,1,17,2,16,1,17,1,11,1,16,1,17,1,16,4,11,1,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,1,11,1,17,1,16,2,17,2,16,1,17,9,16,1,17,3,16,1,9,1,17,1,11,1,17,2,16,1,11,1,9,1,16,1,10,1,11,2,9,1,16,1,11,1,9,1,11,1,9,4,16,1,9,4,8,1,9,3,11,1,13,1,10,1,9,2,11,1,9,1,11,3,9,2,11,3,10,1,11,1,9,6,16,1,9,3,11,1,9,1,16,1,9,1,10,1,9,1,11,1,10,1,9,3,11,1,9,1,16,1,9,1,11,1,9,2,11,1,10,1,11,1,9,2,11,3,9,1,11,3,8,1,11,1,9,1,11,1,16,1,9,1,11,1,16,2,10,1,9,7,10,1,9,1,16,1,9,1,11,2,9,2,10,1,11,1,9,5,8,1,9,3,11,1,8,1,9,2,11,1,8,1,11,1,9,2,13,1,9,3,8,2,13,1,9,4,8,2,13,2,8,2,9,1,13,1,9,1,13,1,9,4,11,1,9,4,11,1,8,1,13,1,9,1,13,2,9,1,13,1,9,1,13,1,9,2,13,1,9,6,11,2,10,1,16,1,11,2,10,1,16,1,9,2,8,1,9,2,8,1,9,1,11,2,9,2,13,2,9,1,8,1,16,1,11,1,10,1,9,1,11,1,16,1,9,1,13,1,9,4,8,1,9,5,10,1,9,2,13,3,9,1,8,1,13,1,11,1,16,1,11,2,9,1,10,2,9,3,11,1,9,1,10,1,9,1,11,1,9,7,8,1,13,1,16,1,9,1,11,1,9,1,11,1,9,2,16,1,9,1,10,1,11,2,9,3,11,1,9,2,16,1,9,1,10,1,11,2,9,1,10,1,11,3,9,1,11,1,10,1,16,1,11,2,16,1,10,1,16,1,9,2,13,1,9,1,8,1,9,2,8,1,9,6,13,1,11,1,9,1,11,1,9,2,11,2,9,1,8,1,9,1,13,3,9,1,8,1,11,1,9,1,8,1,13,1,9,1,16,1,9,1,16,2,11,1,9,4,11,1,13,1,9,2,13,1,10,1,11,1,9,3,10,1,9,2,8,1,9,2,10,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,5,13,1,10,1,9,2,13,1,10,1,9,1,8,2,9,1,8,1,13,1,8,1,9,4,8,1,10,1,8,1,13,1,8,1,9,2,8,1,9,2,13,1,9,1,8,1,13,1,8,2,9,2,11,1,9,2,8,1,9,1,8,1,9,1,8,2,10,1,11,1,8,1,9,1,8,1,11,3,17,1,9,1,17,1,11,1,9,3,11,1,13,2,16,1,10,1,16,1,11,1,17,1,11,1,16,1,9,1,17,1,16,2,9,2,11,1,9,3,10,1,9,1,11,1,9,1,11,2,9,7,11,1,9,1,8,1,9,3,8,1,11,1,9,4,13,1,8,1,9,5,8,1,13,1,9,1,8,1,9,2,8,1,9,2,8,2,9,1,7,1,9,3,8,1,11,1,9,1,11,2,8,1,11,1,9,2,11,2,16,2,9,1,16,1,11,2,16,3,11,1,16,1,9,1,10,1,11,1,9,2,11,1,16,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,16,1,11,1,8,1,9,1,11,1,9,1,10,1,9,1,11,1,10,1,9,2,16,1,9,2,11,1,16,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,8,1,11,1,9,1,16,1,13,1,16,1,9,1,10,1,11,1,9,5,8,1,9,2,13,1,8,1,9,2,13,1,16,1,8,1,9,2,11,1,8,1,9,6,13,1,11,1,9,1,16,1,9,2,11,1,9,3,13,1,9,2,13,3,9,1,13,1,9,11,8,1,9,1,8,1,9,1,10,1,9,2,11,1,9,3,10,1,9,5,10,1,9,8,11,1,10,1,9,2,8,1,9,1,10,1,9,6,13,1,9,1,8,1,9,1,11,1,9,8,10,1,9,2,16,1,10,1,11,2,9,1,11,1,9,1,11,1,16,1,11,2,13,1,16,1,11,1,16,1,11,1,16,4,11,1,17,1,11,4,16,2,11,1,16,3,9,1,11,5,9,1,16,3,10,1,16,2,11,1,16,1,11,2,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,17,1,16,10,17,1,16,1,17,11,16,1,17,1,16,1,17,2,16,6,9,1,16,1,11,1,9,1,11,1,16,2,11,2,16,1,11,1,16,2,11,1,16,4,17,1,16,2,9,2,16,3,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,3,16,2,11,1,16,3,11,1,9,1,16,2,11,1,16,3,9,1,11,1,16,1,11,1,9,1,16,3,17,1,16,3,17,3,11,1,16,4,17,3,16,2,11,2,16,2,17,1,16,2,17,14,16,1,5,11,33,3,5,607,28,2,30,1,6,1,7,1,13,2,8,2,13,1,7,2,28,1,29,1,8,1,13,1,17,2,10,2,24,1,12,2,9,1,10,1,9,1,24,2,10,1,17,1,24,1,12,1,17,1,8,1,30,2,28,1,6,1,8,2,16,1,17,2,9,2,13,1,8,1,9,1,13,1,6,1,9,1,6,1,8,1,29,1,13,2,6,1,13,1,7,1,13,3,8,1,29,1,7,1,6,1,7,1,6,1,29,1,13,1,7,1,9,2,17,2,8,1,9,1,13,1,8,1,9,1,12,1,17,1,13,1,6,1,29,1,30,1,29,1,30,1,6,1,24,2,10,1,8,1,6,1,28,1,30,2,6,1,9,1,12,1,13,1,6,1,29,1,}, {28,1,13,1,8,1,13,1,8,1,24,1,10,1,9,1,30,1,28,1,6,2,29,1,13,1,28,1,24,1,10,1,9,1,24,1,6,1,7,1,6,1,7,2,24,1,10,1,9,1,28,9,29,1,6,3,13,1,28,1,7,1,29,1,28,1,29,1,28,1,6,1,29,1,6,1,30,1,6,1,13,1,30,1,6,1,7,1,28,1,13,1,7,1,13,2,29,1,8,2,10,1,14,1,24,1,12,1,15,1,12,1,17,2,9,1,12,1,8,1,7,1,13,1,8,2,10,1,17,2,24,1,13,1,8,1,24,1,8,1,12,1,9,4,14,2,8,1,24,1,7,1,13,1,12,1,15,2,17,2,12,1,8,1,24,1,12,1,10,1,17,4,16,2,17,7,9,1,11,1,16,1,12,2,10,1,6,1,9,2,24,1,9,1,6,1,13,1,6,2,8,1,6,1,7,1,13,1,6,1,24,1,13,1,8,1,9,1,17,2,14,2,17,1,14,2,10,1,12,1,9,1,13,1,8,2,9,1,11,1,17,1,9,1,8,1,24,1,8,1,13,1,24,1,9,1,8,1,10,1,9,4,17,1,10,1,9,1,6,1,30,1,28,1,6,1,28,3,30,2,29,1,30,3,10,1,17,72,9,1,6,1,7,1,30,1,6,1,29,1,28,8,9,1,17,3,16,1,17,8,16,4,17,1,16,4,11,1,16,6,11,1,9,1,16,3,9,1,11,1,9,3,11,2,9,2,16,1,9,2,11,1,16,11,11,2,16,2,11,1,9,1,11,2,16,1,11,1,9,2,16,3,9,1,11,1,9,1,16,1,11,2,9,1,11,3,16,1,11,1,9,1,11,2,16,1,9,1,16,1,9,1,11,1,9,1,16,1,9,1,11,2,16,2,11,1,16,4,11,1,16,1,11,1,9,1,11,1,9,1,28,1,6,1,13,1,6,2,30,1,28,1,6,1,13,5,9,2,8,2,13,1,6,1,30,1,6,1,13,3,9,2,13,4,11,1,9,1,11,2,16,8,9,5,13,3,9,2,16,1,9,2,13,2,8,1,13,2,6,1,13,1,16,1,11,2,16,4,11,2,9,1,13,3,6,1,7,1,13,2,9,1,13,1,6,1,30,2,6,2,30,3,9,2,13,1,9,1,13,3,9,4,11,1,9,2,13,1,9,2,28,5,30,1,13,3,9,3,11,1,9,1,13,3,9,1,13,1,9,1,13,2,9,2,11,1,16,1,11,1,9,2,13,4,11,1,16,2,17,46,16,1,17,3,16,1,17,9,9,1,11,1,9,2,13,1,8,1,13,1,9,3,8,3,13,1,6,1,13,1,8,2,6,1,13,4,8,1,13,1,9,2,13,1,9,3,8,1,11,1,17,1,10,1,11,2,9,2,11,1,8,1,9,1,11,3,10,1,11,1,16,3,11,1,16,2,11,1,16,1,9,1,11,3,16,1,11,1,17,1,9,1,16,1,11,1,16,2,17,2,16,1,11,1,16,1,11,1,16,3,17,1,16,1,17,1,11,1,16,4,17,1,11,2,17,1,11,1,16,5,11,1,16,1,17,1,16,4,17,2,16,1,9,1,17,1,11,1,16,6,17,1,11,1,16,7,17,1,11,2,17,1,16,1,17,3,9,1,13,1,6,2,8,1,9,1,17,35,16,1,17,1,16,1,17,2,16,1,17,12,16,1,17,1,16,1,17,1,16,3,17,1,16,2,17,2,16,1,17,7,16,2,17,1,11,1,17,1,11,1,17,1,11,1,16,2,17,1,16,1,17,1,16,1,11,1,16,1,11,2,10,1,11,1,9,1,16,1,9,1,11,2,9,1,10,1,9,2,11,1,9,6,16,1,11,1,16,1,10,1,9,2,10,1,9,1,13,1,10,1,11,1,9,1,8,1,11,1,9,3,10,1,11,1,10,1,13,1,9,1,10,1,11,3,9,2,11,2,10,1,11,2,9,1,11,2,9,1,11,1,9,1,11,1,9,2,11,1,9,1,16,1,11,1,10,1,9,4,11,1,9,2,13,1,11,1,9,1,10,1,9,2,11,1,9,1,11,1,8,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,11,1,9,1,11,2,9,1,10,1,11,2,9,5,13,1,9,2,10,1,8,1,9,2,11,1,9,1,8,1,9,1,11,1,8,1,9,1,10,1,9,2,11,2,9,1,11,1,9,1,11,1,8,1,9,5,13,1,11,1,9,2,11,1,16,1,9,2,16,1,11,1,8,2,9,3,8,1,11,1,9,1,13,1,9,1,11,1,9,4,13,1,9,1,13,1,8,3,13,2,9,5,13,1,8,1,9,3,13,3,9,1,13,2,8,1,9,2,8,1,11,1,9,1,11,2,10,1,9,9,10,1,9,10,11,1,13,1,9,2,13,1,9,4,13,1,9,6,13,1,9,3,8,1,13,1,9,6,17,1,10,1,9,2,8,1,9,1,8,1,11,1,9,2,11,2,9,1,11,2,9,1,11,1,9,1,8,1,9,1,11,1,9,2,11,1,9,1,16,1,11,1,10,1,16,1,11,1,16,1,9,1,16,1,11,1,9,1,11,2,9,1,11,1,10,1,9,1,11,2,9,1,8,1,13,1,11,1,9,1,11,3,10,1,16,2,9,1,11,1,9,2,10,1,13,1,9,2,8,2,13,1,9,4,16,1,8,1,11,1,13,1,9,3,16,1,9,3,13,2,8,1,11,1,9,1,11,1,13,1,9,3,11,1,8,1,9,1,17,1,10,1,16,1,9,1,10,1,11,1,9,1,11,1,9,1,13,2,8,2,9,2,8,1,16,1,9,2,16,1,8,1,9,2,13,1,9,1,8,1,13,2,9,1,8,2,13,3,8,1,13,2,8,1,13,1,10,1,9,2,11,1,8,1,9,1,11,1,9,2,8,2,9,1,8,1,9,1,16,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,3,9,3,11,2,9,3,13,1,9,1,13,2,8,1,9,3,11,1,13,1,9,2,17,1,11,1,17,1,16,1,13,1,11,1,9,1,11,2,9,1,11,1,10,1,11,1,9,2,16,1,11,1,17,1,10,1,16,1,9,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,9,1,11,1,9,4,8,1,9,2,11,1,8,3,9,2,11,1,9,2,11,1,16,1,9,1,16,1,9,3,13,1,9,5,16,1,9,1,13,1,9,1,11,2,9,2,8,1,13,1,8,1,9,2,8,3,9,1,8,1,9,1,11,1,9,1,10,1,9,1,11,1,16,1,11,2,16,1,11,1,8,1,9,3,11,2,16,1,11,1,9,1,11,3,9,3,11,1,9,2,8,1,9,2,11,1,9,2,11,3,10,1,11,1,9,2,11,1,10,1,9,1,11,1,9,2,16,1,11,1,16,1,11,3,9,3,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,8,1,16,1,11,1,9,1,11,1,9,4,13,1,9,4,11,1,13,1,9,1,8,1,9,1,8,1,13,1,9,3,11,1,9,3,11,1,9,4,11,1,10,1,9,1,13,1,9,1,11,1,8,1,13,1,9,1,8,1,9,2,13,1,11,1,9,10,8,1,9,1,8,1,11,1,9,3,11,1,9,4,13,1,9,4,11,1,9,1,8,1,11,1,9,3,13,1,9,4,11,1,9,3,10,1,9,2,8,1,9,1,10,1,13,1,9,4,13,1,9,5,10,1,8,1,9,1,13,1,11,4,9,1,11,1,9,1,11,1,10,2,9,8,11,2,9,2,11,1,16,1,11,2,9,1,11,5,16,1,11,1,16,1,11,2,9,2,11,2,16,1,11,6,16,4,11,1,16,1,17,1,16,1,11,1,16,1,17,1,11,2,17,1,16,4,17,2,16,1,17,8,16,1,17,14,16,1,17,1,16,1,17,4,16,6,17,1,16,2,17,1,16,6,17,1,11,1,16,1,11,1,17,1,16,2,11,1,16,1,11,3,16,1,11,3,10,1,11,1,16,1,9,1,16,1,11,5,16,1,10,1,16,3,10,1,11,2,16,1,11,1,16,5,11,1,16,1,17,1,11,2,17,1,11,1,16,3,11,2,16,1,11,2,16,1,17,1,16,2,17,4,16,2,17,8,16,6,17,2,16,6,17,4,16,2,5,1,16,1,5,601,6,1,28,2,6,1,13,1,8,1,13,1,8,1,13,1,7,1,6,3,13,2,8,1,17,1,12,1,16,1,17,1,9,2,11,1,9,1,13,1,9,1,24,1,10,2,24,1,9,1,17,1,10,1,29,1,7,1,6,1,30,1,29,1,13,1,8,1,16,1,17,1,10,1,8,2,9,1,8,4,7,4,29,1,30,1,13,2,8,1,30,1,13,1,8,1,24,1,8,1,7,2,6,1,13,2,8,1,13,1,8,1,9,1,16,1,11,1,24,1,13,1,6,1,8,1,17,2,8,1,24,1,6,1,30,1,6,1,29,2,8,2,10,2,24,1,28,2,30,1,6,1,13,1,24,1,8,1,7,1,13,1,7,1,}, {28,1,29,1,7,1,8,2,9,3,6,1,30,1,29,1,30,1,6,1,29,1,30,1,7,1,12,1,8,1,9,1,6,1,13,2,30,1,7,1,8,1,17,1,9,1,28,9,29,1,7,1,30,1,6,2,30,1,7,1,6,1,28,2,29,1,28,1,30,2,6,1,13,1,6,4,7,2,13,1,8,1,6,1,13,2,8,1,9,1,12,1,10,1,12,1,9,1,17,3,11,1,12,1,13,2,8,1,24,1,8,1,24,1,17,1,15,1,24,1,8,2,9,1,24,1,8,3,9,1,15,1,12,1,17,1,13,1,8,1,7,1,13,1,8,1,14,3,17,1,15,1,12,1,24,1,11,1,17,13,16,1,17,2,16,1,24,1,10,1,9,1,8,1,9,2,13,1,8,1,13,1,6,1,13,1,6,1,13,3,6,1,8,2,24,1,8,1,14,1,9,1,14,1,17,2,14,2,10,1,14,1,13,5,10,1,9,1,17,1,24,1,12,1,8,2,13,1,9,3,8,1,13,1,24,3,9,1,16,1,10,1,6,1,28,1,29,1,30,1,28,1,30,1,28,2,6,2,30,3,8,1,17,72,9,1,13,1,28,1,6,2,28,1,30,1,28,1,30,1,28,4,6,1,11,2,16,1,17,1,16,1,17,9,16,3,17,1,16,8,11,1,16,1,11,1,16,3,9,4,16,1,9,2,11,1,16,1,11,1,16,1,11,3,9,1,11,1,16,4,11,1,16,2,11,1,16,4,11,1,16,1,9,2,11,1,9,1,11,1,9,1,16,2,11,3,16,1,11,3,16,2,9,2,11,2,9,1,16,1,9,1,11,1,9,3,11,2,9,3,11,2,16,1,11,2,16,4,11,1,16,3,9,1,13,4,6,7,13,4,9,3,13,2,29,1,13,2,6,1,13,1,9,1,13,1,9,1,6,1,13,2,9,1,11,5,16,7,9,3,11,1,13,7,9,1,11,1,9,1,11,1,9,4,16,1,11,2,16,1,11,2,16,2,11,1,9,1,8,1,13,3,30,1,13,1,6,1,13,1,9,1,13,1,6,1,13,1,30,1,13,1,6,1,13,2,6,1,13,4,6,1,13,2,9,4,11,1,9,1,13,1,9,1,13,1,28,6,13,1,6,1,13,1,9,1,11,2,13,2,9,1,6,1,9,1,13,1,9,1,13,1,9,1,13,3,9,2,16,3,9,1,13,3,6,1,9,1,17,9,16,1,17,40,16,1,17,1,16,1,17,11,9,1,11,1,7,1,9,2,13,2,9,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,13,3,8,1,11,1,8,1,9,2,11,1,9,1,13,1,9,1,16,1,9,4,11,1,9,1,11,2,17,1,9,1,10,1,9,1,16,5,9,1,16,1,11,1,16,1,11,1,16,1,11,2,16,2,9,1,11,3,17,1,11,2,16,6,11,2,16,2,17,1,11,1,17,1,16,2,17,1,11,1,16,3,11,1,17,1,11,1,16,1,17,1,16,4,11,2,16,2,11,1,16,3,11,1,16,1,17,1,11,1,16,2,17,1,16,3,17,1,16,2,17,1,11,1,16,4,17,2,16,2,17,2,16,1,17,5,11,2,9,4,16,1,11,1,17,3,16,1,17,14,16,1,17,4,16,1,17,3,16,1,17,18,16,4,17,4,9,2,11,1,9,1,8,2,9,2,16,1,9,1,16,1,10,1,9,2,16,1,8,1,9,1,11,1,16,2,10,1,9,1,11,3,9,1,11,1,9,2,11,2,9,3,11,2,9,1,11,1,9,2,11,1,9,7,10,1,9,2,10,1,9,4,11,1,10,1,9,7,8,1,9,2,10,1,9,1,10,1,9,2,11,2,16,1,11,4,9,1,11,1,9,2,16,1,11,1,9,1,11,1,8,1,9,1,11,1,8,1,9,2,10,1,11,1,9,1,13,1,9,1,10,1,11,1,8,1,11,1,9,1,8,1,9,2,11,2,9,1,10,1,9,2,11,1,8,1,11,2,10,2,16,2,9,1,16,1,11,1,16,2,10,1,11,2,16,3,11,2,13,1,11,1,9,1,10,1,16,1,9,1,11,1,9,1,16,1,11,3,9,3,11,1,9,3,11,1,9,1,16,1,9,1,16,1,9,1,11,1,9,1,16,1,9,2,11,1,16,1,11,1,9,1,10,1,11,1,9,2,11,1,8,1,9,1,11,2,9,1,10,1,11,1,9,3,16,1,9,2,8,1,9,1,11,1,9,8,13,1,8,1,9,5,13,1,9,2,13,3,9,1,13,3,9,1,13,2,9,2,13,2,11,1,9,2,13,1,9,3,8,1,9,3,11,2,9,5,13,1,9,1,10,1,9,2,10,1,8,1,9,1,8,2,13,1,9,1,8,1,9,3,8,1,9,2,11,1,9,2,13,1,9,1,10,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,16,2,9,1,8,1,9,2,8,1,9,4,11,1,9,1,11,3,9,1,11,1,9,2,11,4,10,1,16,1,11,1,10,1,11,1,16,1,11,1,10,2,9,5,11,1,13,1,16,1,9,1,16,1,9,3,10,1,8,1,9,1,11,1,16,1,10,1,9,1,11,1,16,1,11,1,9,2,10,1,11,1,9,1,8,1,9,4,8,1,9,1,8,1,9,5,16,1,11,1,9,1,13,1,9,2,13,1,9,1,11,1,9,3,13,1,9,1,13,3,16,1,17,1,11,1,17,2,11,2,9,2,11,1,10,1,16,1,13,1,16,1,9,2,11,1,9,1,10,1,16,1,9,2,11,2,9,1,11,1,8,1,9,1,11,1,8,1,9,1,13,1,8,1,13,3,8,1,13,2,9,1,13,1,9,5,8,1,9,3,11,1,9,5,10,1,13,1,9,5,13,2,9,1,8,1,9,2,8,1,13,1,11,1,9,1,8,1,9,4,16,1,11,1,8,2,11,1,9,2,13,2,16,1,10,1,11,1,10,1,16,2,17,1,11,1,8,1,17,1,9,2,16,1,9,1,11,1,9,1,16,3,11,1,10,1,11,1,10,1,11,3,16,1,11,1,9,1,16,1,11,1,9,2,11,2,9,1,11,1,9,4,11,1,13,1,9,4,13,1,11,2,16,1,9,2,11,3,9,7,10,1,11,1,13,1,8,1,9,3,8,1,9,4,8,2,9,1,13,2,9,2,11,1,8,1,9,1,16,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,10,1,16,1,9,3,10,1,9,2,11,2,9,2,13,1,9,1,11,1,9,1,16,1,8,1,11,2,9,2,11,1,9,2,16,1,9,1,16,1,10,1,9,1,11,1,16,1,11,2,16,1,11,1,10,1,17,1,9,1,11,2,9,5,8,1,9,2,11,2,9,2,13,1,9,4,13,1,9,3,13,2,9,6,13,1,10,1,9,3,11,1,9,6,16,1,9,1,11,2,9,3,13,1,9,2,13,1,9,2,8,3,9,1,13,1,9,5,11,1,9,3,8,1,9,2,8,1,9,1,8,1,9,7,10,1,8,1,13,1,11,3,9,2,10,1,9,1,8,1,9,1,8,3,9,1,10,1,9,1,8,1,9,2,11,1,9,6,13,1,9,1,11,1,9,2,11,1,9,6,11,2,9,2,11,1,9,2,8,1,11,1,9,1,11,2,9,3,8,1,9,21,11,1,9,1,11,3,9,1,11,2,9,1,10,1,16,3,11,1,16,2,11,4,17,1,16,1,11,1,17,1,16,3,11,2,16,3,17,1,16,2,17,11,16,1,17,14,16,1,17,1,16,1,17,8,16,2,17,6,16,1,17,1,16,1,17,1,11,2,17,1,10,1,16,1,11,1,17,1,16,6,10,1,11,1,10,1,16,1,11,1,16,1,11,1,16,1,11,5,16,1,11,3,9,2,10,1,16,2,11,1,16,1,9,1,16,1,17,1,11,2,17,1,11,2,16,1,11,3,17,1,11,1,16,3,17,4,11,4,17,4,16,1,17,1,16,2,17,1,11,1,17,1,16,3,11,1,16,1,11,3,9,1,11,1,9,1,8,1,9,1,11,2,16,1,11,2,16,1,11,1,16,2,17,5,16,1,5,590,28,2,6,2,13,2,7,1,9,1,13,1,8,2,6,1,29,1,6,1,24,1,9,1,17,4,11,1,12,1,17,1,24,1,9,1,8,1,24,2,8,1,17,1,9,1,17,2,13,2,6,2,29,1,6,1,8,1,17,2,9,1,11,1,10,1,8,1,9,1,8,1,13,1,6,1,29,1,13,1,24,1,6,2,28,1,24,1,13,1,6,2,13,2,6,1,8,1,7,1,6,1,29,1,6,1,30,1,6,2,13,1,12,1,10,1,11,1,8,1,13,1,9,3,12,1,8,1,24,1,6,1,30,1,6,1,29,1,30,1,24,3,9,1,15,1,28,1,30,1,28,1,30,1,6,1,8,1,10,1,13,1,6,1,30,1,}, {28,2,24,1,8,1,24,2,10,1,8,1,7,1,30,2,6,1,30,1,7,1,6,1,7,1,11,1,12,1,9,1,13,4,7,1,13,1,15,1,12,1,6,1,29,1,28,7,7,1,8,1,6,3,29,1,30,2,6,1,28,1,30,1,6,2,30,1,29,2,7,1,6,1,13,1,29,1,7,1,6,1,30,1,8,3,6,1,24,2,8,1,15,1,8,1,9,1,16,1,17,3,10,1,13,1,7,1,8,1,24,1,6,1,17,3,9,1,8,1,24,1,6,1,13,1,11,2,9,1,8,1,10,1,17,1,14,1,9,1,13,1,8,2,24,1,17,3,10,1,8,1,9,2,10,1,9,1,10,1,17,3,10,1,17,1,16,1,17,5,12,1,17,1,9,1,17,1,12,1,8,1,9,2,24,1,13,2,8,1,6,2,13,1,8,1,13,1,6,1,7,1,8,1,7,1,13,1,6,1,24,1,11,1,14,1,12,1,17,2,14,1,17,1,11,1,10,1,9,1,24,1,13,2,12,1,17,1,12,1,17,1,12,1,8,1,9,2,8,1,11,1,12,1,8,1,12,1,9,1,11,1,24,2,11,3,28,6,30,1,28,1,6,2,30,1,28,1,30,1,6,1,17,67,16,1,17,4,9,1,6,1,30,2,28,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,9,1,11,1,17,1,16,2,17,5,16,1,17,2,16,1,17,1,11,1,16,9,17,1,11,1,16,3,11,2,16,6,11,1,9,1,16,1,9,1,11,1,16,2,9,1,11,1,16,11,11,1,16,1,11,1,16,1,11,1,9,1,16,1,9,1,16,3,11,1,16,1,11,1,9,1,16,1,11,2,9,2,16,4,11,2,16,1,9,1,11,1,9,1,11,1,9,3,16,1,13,1,9,3,11,1,16,1,11,1,16,2,11,1,16,1,11,1,9,1,11,1,9,1,13,1,6,1,13,1,6,1,13,1,30,1,6,1,30,1,6,2,30,1,13,1,6,2,13,3,9,2,11,1,13,2,6,2,13,2,9,1,13,3,9,1,13,1,11,1,9,1,11,4,16,3,17,1,16,4,11,1,9,2,13,2,6,1,13,4,9,3,10,1,11,1,9,1,11,3,16,1,9,1,16,1,11,1,16,3,11,1,9,2,13,1,6,4,13,1,9,2,13,1,30,1,13,1,30,1,13,1,30,1,6,2,13,5,6,1,9,2,13,1,9,5,13,2,30,1,28,5,13,3,9,1,13,1,9,1,13,1,9,1,13,4,9,3,11,1,9,5,16,4,13,4,10,1,17,11,11,1,17,1,16,1,11,1,9,1,11,1,17,26,16,3,17,3,9,1,17,2,11,2,17,1,16,1,17,1,11,1,17,6,11,1,17,1,9,3,13,1,9,3,8,1,9,2,13,1,9,1,13,5,8,1,9,1,8,1,9,2,8,1,9,2,11,1,9,1,16,2,9,3,16,1,11,1,16,1,11,2,16,2,11,1,16,1,17,2,11,1,16,1,11,2,16,1,11,1,16,1,17,1,11,1,16,2,11,2,16,2,11,1,16,3,17,1,11,1,16,10,17,1,16,4,11,1,16,1,17,1,11,2,16,3,11,1,16,1,11,1,16,4,17,1,16,3,17,1,11,1,17,1,11,2,16,6,17,1,16,2,17,2,11,1,16,6,17,1,16,2,17,7,11,3,9,2,10,1,16,2,17,7,16,1,17,7,16,1,17,1,16,1,17,1,16,2,11,3,16,1,17,1,16,1,17,2,16,1,11,1,17,1,16,1,17,1,16,1,17,2,11,3,17,1,16,1,11,3,16,1,11,1,9,2,11,1,13,1,9,2,11,1,10,1,16,1,17,1,16,2,17,9,8,1,11,1,9,1,13,1,9,1,16,1,9,1,11,1,9,1,10,1,9,2,11,1,9,1,11,3,9,1,11,1,9,4,11,1,9,3,10,1,9,1,11,1,9,2,11,1,10,1,9,4,11,1,9,3,16,1,9,3,11,1,9,4,11,1,9,1,11,3,9,1,16,2,11,4,9,2,16,1,9,4,10,1,9,3,10,2,9,1,11,2,16,1,11,2,9,1,11,1,9,2,8,2,13,1,10,1,11,2,9,5,11,2,9,1,10,2,16,2,11,2,16,1,8,1,16,1,11,2,16,4,11,1,10,1,9,3,10,1,11,1,10,1,9,2,10,1,11,1,16,2,11,1,9,4,11,2,9,2,11,1,9,1,10,1,11,1,9,1,8,1,10,1,9,1,10,1,9,1,11,1,9,1,11,3,9,2,16,1,11,1,9,4,11,1,9,1,10,1,9,1,8,1,9,4,8,4,9,3,16,1,9,1,11,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,13,1,8,1,9,1,8,1,9,2,13,1,8,1,9,5,13,1,8,2,13,1,9,2,13,1,11,1,9,1,11,1,9,3,11,1,9,3,10,1,9,4,8,1,9,2,8,1,9,1,11,1,9,4,8,1,9,3,8,1,9,3,11,1,9,1,8,1,9,4,11,1,8,1,11,2,9,1,16,1,11,1,9,2,13,3,8,2,9,1,11,1,9,1,16,1,10,1,11,1,9,1,16,1,9,2,11,1,10,1,9,4,10,1,11,2,10,1,11,1,16,1,9,4,11,1,8,1,9,1,11,1,9,1,11,1,16,1,9,1,11,2,9,1,10,1,9,1,11,1,10,1,16,1,10,1,9,5,13,1,9,1,10,1,9,5,8,1,13,1,9,6,16,1,9,4,10,1,8,1,11,1,8,1,13,1,9,1,8,1,13,2,8,1,13,1,8,1,9,1,16,1,9,1,16,1,9,1,11,2,17,1,11,1,9,2,8,1,9,2,8,1,13,1,9,2,11,1,9,1,8,1,9,3,11,1,9,3,11,1,8,1,11,1,9,1,8,1,13,1,8,1,9,2,13,3,9,1,13,3,9,1,8,1,9,5,11,1,9,5,8,2,9,1,13,2,9,1,13,1,6,1,8,1,9,5,13,1,9,7,8,1,13,1,9,1,13,1,16,1,13,1,9,1,8,1,9,1,11,2,17,2,16,2,11,2,10,1,17,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,16,1,17,1,16,1,9,1,16,2,11,2,13,1,16,1,9,2,16,1,9,1,11,1,16,1,9,1,11,1,16,1,9,1,11,2,9,5,11,1,9,2,13,1,11,1,9,7,11,2,9,1,11,1,9,1,11,1,9,2,10,1,9,4,11,1,9,1,11,1,9,2,13,1,9,1,13,1,8,1,9,3,13,1,9,1,16,1,11,1,9,3,11,1,9,4,11,1,9,1,8,1,9,1,11,2,9,1,8,1,9,5,10,1,9,2,13,1,9,5,8,1,9,4,11,1,9,2,11,1,10,1,9,2,10,1,9,1,11,3,17,1,11,1,9,3,8,1,9,1,10,1,13,1,9,3,11,1,10,1,9,1,17,1,16,1,9,4,8,1,9,3,8,3,9,4,11,1,9,1,13,2,9,2,11,1,9,4,11,1,9,1,17,1,11,1,9,1,13,1,11,1,9,2,8,1,13,2,8,1,9,1,13,1,8,1,9,1,13,1,9,5,13,1,9,1,11,1,8,1,9,4,11,1,8,1,9,8,11,1,9,3,13,2,9,1,13,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,11,1,13,1,11,1,9,1,8,1,11,1,9,3,8,1,9,3,8,2,9,7,13,1,9,5,11,1,9,1,16,1,11,3,9,1,10,1,9,2,11,1,9,3,11,1,9,3,8,1,9,3,13,2,9,6,8,1,9,1,8,2,9,1,8,1,9,3,8,1,9,2,8,1,9,6,11,2,9,1,11,2,9,1,17,1,11,3,9,2,11,2,9,1,17,1,11,1,16,1,11,1,16,1,11,1,17,2,16,1,17,10,16,1,17,6,16,1,17,8,16,1,17,6,16,1,17,1,16,1,17,3,16,4,11,1,16,2,17,2,16,1,17,3,11,3,16,3,17,1,16,3,17,1,11,1,16,1,11,1,17,1,11,1,16,5,11,1,16,1,17,2,11,1,16,1,11,1,16,4,11,1,16,2,9,1,11,1,16,1,11,1,16,2,11,1,16,1,11,3,16,1,17,1,11,1,9,1,11,1,16,4,17,6,16,2,17,1,16,1,17,1,16,1,17,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,13,1,11,1,9,5,10,1,9,4,16,2,17,5,16,1,17,4,5,584,28,2,6,2,13,1,8,1,13,1,8,2,7,1,13,1,6,1,29,2,8,1,24,1,17,3,10,1,17,1,9,2,8,1,10,1,8,1,24,1,8,1,9,1,12,1,8,1,15,2,7,1,29,1,30,1,6,1,13,1,29,1,24,1,17,2,11,1,9,1,24,3,8,1,24,1,6,1,7,1,13,1,6,1,7,1,30,2,6,2,28,1,7,1,24,1,13,1,24,1,7,1,13,2,29,1,6,2,8,1,6,1,13,1,12,1,17,1,12,1,9,1,13,1,9,1,8,1,9,1,12,1,9,1,13,1,8,1,13,1,6,1,7,1,28,1,14,1,8,1,12,1,9,1,13,1,28,2,29,2,8,1,24,2,7,1,6,1,29,1,}, {30,1,28,1,8,1,13,2,9,1,12,1,9,1,13,1,6,1,28,1,30,2,13,1,30,1,29,1,11,1,12,1,8,2,13,1,8,1,6,2,24,1,12,2,7,1,28,8,13,2,29,2,30,1,6,1,29,1,30,1,6,1,30,1,29,1,28,1,24,1,28,1,30,1,7,1,29,2,30,1,29,1,13,1,6,1,7,1,13,1,6,1,7,1,8,1,24,2,12,1,15,1,9,1,10,1,16,1,17,2,10,1,9,1,8,3,9,3,17,1,14,1,8,2,9,1,8,2,9,1,24,1,8,3,14,2,15,1,8,1,6,1,7,1,13,1,14,3,12,2,8,1,24,1,8,1,11,1,12,1,17,3,16,1,17,3,16,1,17,3,10,1,17,3,16,1,9,1,16,1,9,1,13,2,10,1,13,2,24,1,6,1,13,2,15,1,24,1,13,1,8,3,9,1,10,1,12,1,14,1,17,2,14,1,17,1,10,1,8,1,9,1,8,1,24,1,6,1,13,1,15,1,17,3,8,1,11,1,8,2,9,1,8,1,13,1,9,2,24,1,9,1,8,1,17,1,16,1,10,1,13,1,6,1,28,6,6,1,30,1,6,1,30,1,28,1,6,1,17,72,9,1,13,1,28,1,30,1,28,1,30,1,29,1,28,2,30,2,28,3,9,1,17,2,16,2,17,6,16,11,11,2,16,3,11,2,16,1,11,1,9,1,11,1,16,4,11,1,16,1,11,2,16,2,11,1,16,1,11,2,16,1,11,1,16,12,11,2,9,1,16,1,11,2,16,1,11,4,16,1,11,1,16,1,11,1,16,1,11,3,16,1,11,1,9,2,16,1,11,1,9,1,13,1,11,4,9,2,11,1,9,1,11,4,16,2,9,1,11,1,9,1,11,1,9,2,13,2,6,1,13,1,30,1,6,3,13,1,6,2,13,2,6,2,13,1,9,1,8,1,9,3,6,1,13,1,6,2,13,1,8,1,13,1,30,1,13,2,9,1,13,1,9,1,11,4,16,5,17,1,16,3,9,1,11,2,9,1,13,5,9,1,11,1,9,3,11,2,10,1,11,1,16,6,9,3,13,1,6,2,30,1,6,1,13,2,9,2,13,1,30,1,6,4,30,1,6,1,13,1,9,1,13,4,9,2,8,1,9,2,13,4,28,6,13,1,6,1,13,1,9,4,13,7,9,2,13,2,9,4,16,2,11,1,16,1,9,1,13,4,16,1,17,6,12,1,11,1,17,1,12,1,16,1,17,2,16,1,11,1,9,2,10,1,9,1,17,27,16,1,17,3,16,2,17,3,11,1,17,1,11,1,16,1,17,6,11,1,16,1,9,1,8,1,9,1,13,1,8,1,9,2,11,1,9,1,8,1,9,3,13,1,8,1,9,1,13,1,9,3,10,1,13,1,9,1,10,1,9,1,16,1,11,2,9,1,16,1,11,4,16,2,11,1,16,5,11,1,17,1,16,3,9,1,16,1,11,3,16,2,11,2,17,1,11,2,16,1,11,1,17,1,11,1,17,1,11,1,16,11,11,1,16,1,11,1,16,1,11,1,16,2,11,2,16,1,11,1,16,3,17,1,16,3,11,1,16,2,11,1,16,3,17,1,16,2,17,2,16,1,17,1,11,1,16,2,17,1,16,4,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,6,9,2,8,1,9,2,11,1,8,1,16,1,17,1,16,3,17,2,11,1,16,2,17,1,16,5,11,1,10,1,9,3,11,3,9,4,11,1,9,1,10,1,9,3,16,1,11,2,10,1,11,1,13,2,30,1,13,1,8,1,9,2,8,1,11,2,16,6,17,1,16,1,17,4,16,1,17,2,16,1,17,3,16,5,17,1,11,1,9,4,13,1,9,8,11,1,9,7,11,1,10,3,11,1,9,1,8,1,11,1,9,7,8,1,9,3,13,2,9,1,11,1,9,1,10,1,11,1,10,1,16,1,11,3,10,2,9,1,10,1,11,1,9,2,8,1,16,1,9,1,11,1,10,1,11,3,9,1,11,1,16,1,11,3,9,1,11,1,9,4,11,1,10,1,11,1,9,3,11,1,9,1,11,3,9,1,10,1,9,1,11,4,9,1,16,2,17,1,16,1,17,1,16,3,10,2,16,1,10,1,11,2,9,4,11,1,9,1,16,1,11,1,16,1,10,1,11,1,16,1,11,2,9,1,16,1,10,1,11,2,10,1,11,1,16,1,8,1,9,4,11,2,9,1,11,1,16,2,9,1,10,1,11,1,8,1,11,1,8,1,11,1,9,1,8,2,9,1,10,1,9,7,13,1,10,1,11,1,9,9,8,1,13,1,9,1,13,1,9,3,8,1,9,1,13,2,11,1,8,1,11,1,9,3,13,2,8,1,9,1,13,2,8,1,9,1,13,1,9,1,8,1,11,1,9,3,10,1,9,2,8,1,11,1,9,1,16,1,9,3,13,2,9,1,10,1,9,1,11,1,9,2,16,1,9,3,8,1,13,1,9,7,16,1,8,1,9,1,11,3,16,2,9,1,8,2,9,2,8,2,11,1,9,3,11,2,9,3,11,1,9,1,11,1,9,2,16,1,9,3,11,3,9,1,11,1,9,1,11,1,8,1,11,1,9,1,11,1,9,3,10,1,9,1,11,1,8,1,9,1,8,1,9,1,8,1,9,1,11,2,9,2,8,1,9,1,8,1,13,1,9,3,8,1,10,1,9,4,13,1,9,1,8,1,9,4,11,1,9,3,11,2,9,1,13,1,9,1,13,1,9,1,13,1,8,3,9,2,11,1,9,1,10,1,9,3,11,1,9,6,8,1,9,6,8,1,9,2,11,1,9,2,16,2,9,3,13,1,8,1,9,1,8,1,13,1,8,2,13,5,9,1,13,1,9,1,8,1,9,1,11,2,9,5,13,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,9,1,13,2,9,1,8,1,9,2,13,1,9,3,11,1,9,2,8,1,9,2,11,1,9,5,16,4,17,1,16,2,11,2,9,1,16,1,11,1,10,1,9,1,13,1,16,1,11,2,10,1,9,1,16,1,11,1,16,1,9,1,11,1,8,2,9,1,16,2,9,1,11,3,9,1,11,1,16,1,10,1,11,2,10,1,9,3,11,2,9,2,16,1,9,2,11,1,9,1,10,1,9,1,11,2,9,1,8,1,9,1,11,1,16,1,11,2,9,8,13,1,9,1,8,1,9,1,13,1,8,1,9,1,8,2,13,1,10,1,9,3,16,1,11,1,9,3,8,2,9,1,8,1,9,4,11,1,9,1,11,2,10,1,11,1,9,1,8,1,9,2,8,1,9,3,13,1,9,1,8,2,13,2,9,3,8,1,9,2,8,1,9,5,16,1,10,1,9,2,11,1,9,5,8,1,9,1,13,1,9,8,11,1,9,1,8,1,11,1,9,4,13,1,9,1,8,1,11,1,9,4,8,1,11,1,9,1,11,1,10,1,11,1,10,1,16,1,17,2,11,1,16,1,13,1,9,5,13,7,8,1,13,1,8,2,9,2,10,1,9,1,8,1,13,1,9,2,8,1,9,2,8,1,9,6,11,1,9,2,13,1,9,10,8,2,13,1,9,4,8,2,9,3,13,1,9,1,13,2,9,1,13,1,9,2,16,1,9,3,10,1,9,1,11,2,9,2,10,2,9,2,13,1,9,2,13,1,9,1,11,1,9,4,10,1,13,1,10,1,9,6,8,1,9,2,10,1,9,1,8,1,13,1,9,7,11,1,9,1,8,1,9,4,11,1,9,1,11,1,9,1,8,1,11,1,8,1,9,1,10,1,9,1,11,1,9,7,10,1,11,1,9,1,8,1,9,2,10,1,9,3,10,1,9,1,11,2,16,6,17,1,11,1,16,3,17,1,16,2,17,3,16,1,17,2,11,1,16,4,17,2,16,1,17,2,16,1,17,3,16,1,17,1,16,1,17,3,16,3,11,2,16,6,11,1,16,1,17,1,16,3,17,1,16,1,17,4,16,4,17,1,16,2,17,2,16,1,17,3,16,1,11,1,16,7,11,1,16,2,10,1,16,1,11,1,17,1,11,1,16,4,11,1,9,1,16,2,11,2,16,1,10,1,16,1,17,2,16,6,17,1,16,2,17,1,16,1,17,1,16,1,11,1,16,1,11,1,10,1,11,3,9,2,16,1,9,1,10,1,9,7,11,1,17,3,16,2,17,1,16,2,17,1,11,1,9,1,5,2,16,1,5,579,28,2,30,2,13,2,24,1,13,1,8,1,13,1,6,1,13,1,30,1,6,1,8,1,9,1,17,2,12,1,10,1,24,1,9,2,8,1,13,1,8,2,24,2,12,1,9,1,17,2,24,1,13,1,6,1,29,2,13,1,9,1,17,2,12,2,9,1,10,1,24,1,8,1,6,1,8,1,7,1,13,1,8,2,7,1,13,2,30,1,7,1,29,1,9,1,13,2,7,1,24,1,6,1,13,1,8,1,6,1,8,1,13,2,17,1,12,1,24,1,8,1,7,1,6,1,8,1,12,1,9,2,8,1,13,2,6,2,30,1,12,1,9,2,12,1,13,1,28,2,29,1,6,1,8,1,24,2,13,1,29,1,13,1,}, {30,2,6,1,8,1,13,2,10,1,9,1,6,1,30,1,28,2,29,1,30,1,29,1,6,1,9,1,17,1,8,1,6,1,8,1,13,1,7,1,6,1,24,1,12,1,8,1,6,1,28,8,6,1,13,2,29,1,6,1,29,1,6,1,29,1,28,1,7,1,13,1,29,2,30,1,7,1,6,1,8,1,6,1,13,1,6,1,8,2,13,2,12,1,8,3,24,1,10,1,12,1,24,1,12,2,17,2,9,1,11,1,9,1,8,1,13,1,9,3,17,1,14,1,12,1,8,2,13,1,8,1,24,1,8,1,24,1,8,1,24,1,17,1,15,1,10,1,8,1,7,1,8,1,24,1,14,2,15,1,12,1,15,1,8,1,24,1,8,1,10,1,13,1,17,6,12,1,16,1,17,3,11,1,17,1,16,1,11,1,9,2,8,2,13,2,9,1,8,1,6,1,13,1,7,1,8,2,13,1,8,1,24,1,8,1,24,1,8,2,10,1,14,2,16,1,17,2,16,1,15,1,9,1,13,1,6,1,8,1,7,1,24,1,11,1,12,1,17,2,11,1,9,1,12,1,9,1,10,1,13,1,24,1,13,1,9,1,12,1,8,1,9,1,17,2,9,1,29,1,28,1,30,1,28,1,30,1,28,2,30,2,29,1,30,1,28,2,29,1,17,66,9,2,17,4,8,1,13,1,28,3,30,1,28,2,30,1,28,1,30,1,28,3,8,1,17,1,16,1,17,1,16,2,17,5,16,4,11,2,16,9,11,2,16,2,11,2,16,1,11,2,16,2,11,2,16,1,17,1,11,1,16,8,11,1,16,9,11,2,16,2,11,1,9,1,11,1,16,1,11,1,16,1,11,3,9,2,11,1,16,1,11,1,9,3,11,1,9,1,11,2,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,2,9,2,13,1,9,1,11,1,16,1,11,2,9,1,13,1,9,1,13,5,6,1,30,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,5,9,2,11,1,13,5,8,1,13,2,9,1,13,2,9,2,11,2,16,11,11,1,9,1,11,1,9,1,13,1,6,1,13,4,9,3,13,1,9,2,11,1,9,1,16,1,11,1,9,1,16,1,11,2,9,3,13,3,30,1,6,2,13,1,11,1,9,1,30,1,6,5,30,1,13,2,9,1,13,5,9,3,13,2,9,1,13,1,28,6,6,2,13,1,9,4,13,7,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,11,1,9,1,16,1,11,1,16,1,9,1,13,2,6,1,13,1,9,1,16,1,9,1,11,2,12,1,11,2,17,1,11,1,10,1,16,1,8,2,11,1,9,1,16,1,9,1,16,1,9,1,11,1,16,1,17,19,16,1,17,1,11,1,16,3,17,3,16,1,17,4,16,1,10,1,17,1,10,1,16,1,17,8,12,1,11,2,8,1,10,1,9,4,16,1,9,2,11,1,10,1,9,1,13,1,9,1,10,1,9,1,13,1,9,4,11,2,16,1,11,4,16,1,9,1,16,1,10,1,11,1,16,1,11,1,16,6,17,1,11,1,16,1,11,1,17,1,11,1,16,5,9,1,11,1,16,1,9,1,16,1,11,3,17,1,11,2,16,4,11,3,16,4,11,4,16,1,11,3,16,3,11,1,16,3,11,1,16,4,11,1,16,3,17,1,11,3,17,1,16,2,17,1,16,2,17,1,11,1,16,1,17,1,16,1,17,1,11,1,17,2,16,4,17,1,16,1,17,9,11,1,13,3,8,1,9,8,8,1,9,2,13,3,9,1,13,1,9,1,8,9,9,1,11,1,13,1,9,5,11,1,8,1,13,1,28,2,9,4,16,3,17,1,16,2,17,1,16,1,17,1,16,6,17,3,16,4,17,1,16,4,17,2,16,1,11,1,9,1,11,1,9,3,8,1,9,1,11,2,9,1,11,1,9,1,10,1,9,5,8,1,9,3,10,1,9,1,16,1,9,3,11,1,9,2,8,1,9,5,8,1,9,1,11,1,13,2,9,1,16,1,9,3,11,2,16,1,11,3,17,1,11,1,9,1,16,2,9,1,11,1,9,1,16,2,10,1,9,2,11,1,10,1,16,1,11,1,16,1,9,1,11,3,9,1,11,2,9,1,16,1,9,1,17,1,11,2,9,3,11,1,9,1,11,1,10,1,11,4,9,2,16,4,17,2,11,3,9,1,11,2,16,1,11,1,10,1,16,2,11,1,16,1,11,1,9,1,16,1,9,1,10,1,16,1,10,1,9,2,11,1,9,2,16,1,11,1,9,1,11,1,16,1,9,1,8,1,9,1,8,1,9,1,11,3,10,2,11,1,9,1,16,1,9,1,10,1,11,1,10,1,11,1,16,1,9,9,8,1,9,2,11,2,9,1,11,1,9,2,11,1,9,1,11,3,8,1,9,1,10,1,13,1,9,1,16,2,10,1,9,1,13,3,9,1,11,1,16,1,10,1,9,4,8,1,9,2,13,1,11,1,8,1,9,2,13,1,9,1,11,1,9,4,16,1,11,1,9,1,10,1,8,1,9,2,8,1,9,1,13,1,9,1,13,1,9,2,11,1,9,1,11,1,9,1,11,1,8,1,9,1,13,1,9,1,16,1,11,1,9,2,11,1,9,1,11,1,9,1,11,2,16,1,9,1,11,1,16,1,9,1,8,1,9,1,13,1,9,6,10,1,9,1,11,1,9,3,16,1,9,4,17,1,9,1,11,2,16,1,9,1,10,1,9,2,11,5,9,1,10,1,11,3,9,4,10,1,11,1,9,2,11,1,9,1,8,1,9,2,11,1,8,1,13,2,8,1,9,2,11,1,9,1,8,1,13,2,9,1,13,1,8,1,9,1,8,2,9,3,8,1,10,1,8,1,9,1,8,1,13,1,9,1,8,3,9,3,13,1,9,4,11,1,9,4,11,1,9,4,10,1,9,3,8,2,9,1,8,2,9,2,11,2,9,1,16,1,11,2,9,1,8,1,13,2,8,2,13,1,8,1,13,2,8,1,9,3,11,1,9,2,11,1,9,8,8,1,9,2,8,1,9,2,13,1,9,2,13,1,9,1,10,1,8,1,9,7,16,1,9,3,10,2,9,4,11,1,10,1,11,1,16,1,17,2,11,2,9,2,16,1,17,1,11,1,10,1,16,1,9,2,11,3,9,1,13,1,9,2,11,2,9,1,11,1,10,1,11,2,9,1,16,1,11,1,16,1,8,1,9,2,16,1,9,2,8,1,10,1,9,3,11,1,16,1,9,8,11,1,9,3,16,1,9,1,11,2,9,1,11,1,9,2,8,1,9,1,8,1,9,2,8,1,9,2,13,3,8,2,9,4,11,1,9,7,13,1,9,1,8,1,9,4,11,1,13,1,9,1,10,1,9,8,8,1,9,3,13,1,9,1,8,2,9,7,8,1,9,9,8,1,9,4,13,1,9,2,8,1,13,1,9,4,13,1,8,1,9,5,13,1,9,2,8,1,9,3,13,1,11,1,9,4,11,1,9,1,11,1,9,2,11,1,17,1,11,1,9,2,11,1,9,2,13,1,9,1,13,1,8,1,13,2,8,1,9,1,8,1,13,3,9,1,8,1,9,1,11,1,13,1,9,5,11,2,10,1,9,2,8,1,13,1,6,1,8,1,9,15,11,1,9,7,8,1,9,1,8,1,13,2,9,3,8,1,13,1,8,1,13,1,9,4,11,2,9,6,8,1,9,2,10,1,11,2,13,1,9,5,11,1,16,1,9,5,11,1,9,3,8,1,9,7,8,1,9,1,8,1,9,10,8,1,11,1,9,4,11,1,8,1,11,2,9,1,11,1,9,3,8,1,9,4,10,1,9,4,11,1,9,1,10,1,11,1,9,1,10,1,9,1,11,1,16,2,11,2,9,1,11,1,16,2,11,1,16,1,11,1,10,1,11,2,16,2,9,2,11,3,16,1,11,2,16,1,11,1,16,1,11,1,16,1,17,1,11,1,16,3,11,1,16,2,17,2,16,1,17,1,16,2,17,1,11,1,9,1,11,1,16,1,11,2,16,1,11,1,16,3,17,2,16,1,11,1,16,1,17,12,16,3,17,3,16,2,17,1,16,1,17,1,16,2,11,1,17,1,16,5,11,1,16,2,10,1,11,1,16,2,11,3,16,1,17,1,16,2,11,1,16,5,17,1,16,2,17,1,16,1,11,1,10,1,11,5,9,1,8,1,9,6,10,1,9,3,11,2,9,1,11,1,17,3,16,1,11,1,9,2,13,2,9,2,11,3,9,4,11,1,9,1,16,4,17,1,16,1,11,1,16,7,17,6,16,1,5,2,13,1,33,1,5,4,33,3,5,538,33,1,28,2,30,2,13,1,8,4,13,2,6,3,7,1,12,1,17,4,9,6,24,2,8,1,17,1,12,1,17,2,7,1,6,1,7,2,13,1,9,2,17,2,10,2,12,1,24,2,8,1,6,1,8,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,6,1,29,1,8,1,24,1,13,3,8,2,13,2,6,1,7,1,13,1,24,1,10,1,12,1,24,1,9,1,13,1,6,1,8,1,11,1,12,1,8,1,9,1,8,1,13,1,6,1,30,1,13,2,10,2,12,1,13,1,28,3,30,1,8,1,24,1,13,1,6,2,13,1,}, {30,2,13,1,7,1,8,1,24,1,10,1,12,1,6,1,29,1,28,1,30,3,13,1,7,1,11,2,8,1,7,1,6,1,13,2,6,2,17,1,11,1,7,1,28,8,13,2,7,1,30,1,6,2,8,1,6,1,30,1,29,1,7,3,29,1,7,2,8,1,7,1,6,4,7,1,29,1,6,1,13,2,7,1,8,1,10,1,8,1,9,1,8,1,24,1,17,2,9,1,17,1,10,1,17,1,8,1,9,1,10,2,17,2,10,1,11,1,10,1,8,2,11,1,13,2,10,1,9,1,14,1,17,1,15,1,13,1,8,1,13,1,8,1,17,2,15,1,17,1,9,1,13,1,8,1,13,1,17,1,9,1,17,3,12,1,17,2,12,1,17,6,16,2,10,2,9,2,8,1,9,1,8,3,13,1,24,2,8,1,10,1,6,1,8,1,13,1,24,1,9,2,8,1,12,1,15,1,17,4,16,1,9,1,8,1,7,2,8,1,9,1,17,4,11,1,13,1,8,1,24,1,8,1,13,3,8,1,13,1,8,1,9,1,10,3,6,1,28,1,29,1,30,1,28,2,30,2,28,1,29,1,30,1,28,1,30,1,6,1,17,66,11,1,17,5,11,1,6,1,30,2,28,3,6,1,30,1,28,5,11,1,17,1,16,1,17,1,16,1,17,5,16,5,11,1,16,6,11,1,16,2,11,2,16,2,11,2,16,4,11,1,9,1,11,1,16,2,11,1,9,1,11,1,16,1,11,1,16,8,11,2,16,1,11,1,16,3,11,2,16,5,11,2,16,1,9,1,16,1,11,1,9,1,11,1,16,1,9,1,11,3,9,2,13,1,9,1,16,1,11,1,9,1,11,1,13,1,11,1,9,2,13,2,9,1,8,1,13,1,9,2,8,1,11,2,16,1,9,2,13,1,6,1,13,1,6,1,13,1,6,1,13,2,30,1,13,3,6,1,13,2,6,1,13,1,6,1,13,2,9,1,13,1,9,3,13,2,6,2,13,1,6,1,13,2,9,1,13,1,8,1,9,2,16,13,11,2,9,1,13,1,6,1,9,1,13,1,6,1,13,1,9,2,13,1,9,1,13,1,9,4,11,2,9,3,11,1,13,4,28,1,13,1,30,1,6,1,13,1,9,1,13,1,30,1,28,1,6,2,30,3,13,1,9,2,13,3,9,1,8,1,16,1,9,1,13,3,28,7,6,2,13,2,9,2,13,5,6,1,13,2,9,1,13,1,11,1,9,1,13,1,9,1,13,1,9,3,11,1,16,2,11,1,13,1,9,1,13,2,30,1,11,2,16,1,9,1,16,1,9,1,17,1,10,1,9,1,12,1,9,1,8,1,9,1,8,1,9,1,13,1,9,5,11,1,9,1,11,1,10,1,9,1,12,1,17,13,16,1,17,2,16,1,17,8,11,1,17,1,11,2,16,1,17,1,11,2,17,1,9,1,17,1,16,1,17,1,16,1,17,4,16,1,11,1,12,1,9,1,10,1,11,2,10,1,11,2,12,1,17,1,9,2,8,1,13,1,9,1,11,1,9,1,11,3,16,1,11,1,12,1,9,1,11,1,16,1,11,2,16,2,11,1,16,1,11,1,16,2,11,1,16,1,9,1,17,1,11,1,16,5,11,2,16,3,10,1,11,1,16,1,10,1,11,1,16,1,11,2,16,1,11,1,16,2,11,1,17,1,16,4,11,1,16,1,11,1,17,1,11,3,16,1,11,1,16,2,11,2,16,2,11,2,16,4,17,2,11,1,16,8,17,1,16,7,17,3,11,1,17,3,16,1,17,1,16,1,17,3,16,1,17,12,13,1,7,1,30,1,6,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,2,13,1,9,8,13,1,9,1,8,2,9,2,10,1,13,2,29,1,30,1,6,3,9,3,16,8,17,1,16,4,17,1,16,4,17,2,16,3,17,2,16,16,11,1,9,3,11,2,9,1,8,1,9,4,13,1,9,2,11,1,10,1,9,2,8,1,9,1,10,1,11,1,9,1,11,1,9,2,8,1,9,7,11,1,7,1,13,1,9,2,11,1,8,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,17,1,11,1,16,1,9,1,10,2,16,1,9,1,16,1,10,1,11,2,9,1,11,5,13,1,9,2,11,1,8,1,9,1,16,1,11,2,9,1,11,1,9,2,16,1,9,1,13,1,9,1,8,1,17,2,11,1,9,1,17,1,16,1,9,1,11,3,17,1,11,1,16,6,11,1,16,2,11,4,9,1,16,1,10,1,9,3,16,1,9,1,8,1,10,1,9,4,11,2,16,2,9,2,8,1,9,2,13,3,16,1,9,1,11,2,9,5,11,2,9,2,8,1,9,1,10,1,9,7,10,1,9,4,8,1,9,4,10,1,9,2,11,1,8,1,10,1,11,1,10,1,9,6,11,1,16,1,11,2,9,1,16,1,9,1,16,1,9,1,13,2,9,2,13,1,8,1,9,2,8,1,9,1,10,1,9,3,16,1,11,1,9,2,13,1,9,2,13,1,8,1,9,3,16,1,9,2,16,1,9,5,16,2,9,4,11,1,17,1,11,1,17,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,8,2,13,3,11,3,9,2,8,1,9,3,13,1,10,1,9,1,11,3,10,1,16,1,11,2,9,1,11,3,9,1,16,1,11,1,9,1,10,1,9,4,16,1,11,1,17,1,11,2,9,1,11,2,9,2,16,1,11,1,9,2,16,1,9,2,13,2,8,1,9,1,11,1,9,1,8,1,16,1,13,1,8,1,9,1,13,1,9,1,11,1,8,1,9,1,10,1,13,1,9,1,10,1,11,1,9,2,13,2,9,2,8,1,13,1,8,1,13,1,8,1,9,1,13,1,9,2,11,1,13,1,9,1,13,1,9,7,13,1,9,4,8,1,9,1,8,2,9,3,11,1,13,1,11,1,8,1,9,5,8,1,13,1,9,3,8,1,9,2,11,1,8,1,11,1,10,1,8,1,9,3,11,1,8,1,9,1,10,1,9,3,8,1,11,1,9,1,10,1,9,1,8,1,9,1,13,1,9,2,8,1,9,1,8,1,9,1,8,1,11,1,9,2,11,1,9,5,13,1,9,1,11,1,9,1,11,1,16,2,11,1,16,1,17,1,16,2,9,1,10,1,11,1,10,1,16,1,11,1,9,1,10,1,9,2,8,1,13,2,9,1,11,1,9,1,17,1,11,1,16,1,9,1,11,1,16,1,9,1,16,1,9,6,11,3,9,2,11,1,9,3,11,1,9,4,11,1,9,3,16,1,9,3,16,1,9,1,16,1,9,3,8,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,8,1,9,6,11,2,9,1,8,2,13,2,9,1,11,1,8,1,9,3,13,1,9,4,8,2,9,1,13,1,9,3,8,2,9,1,13,2,9,1,13,3,9,10,13,1,9,2,8,2,13,1,9,1,8,1,13,1,8,1,13,1,9,1,13,1,11,1,13,2,8,1,9,2,8,2,9,2,8,2,11,1,9,2,8,1,9,1,8,3,11,1,13,1,9,1,8,1,11,1,16,1,8,1,11,1,9,2,16,1,9,2,11,1,9,2,11,1,9,1,13,1,11,1,9,3,13,5,9,2,13,1,9,5,13,1,8,1,9,1,8,1,9,6,16,1,17,2,9,2,8,1,9,2,8,1,9,1,8,1,11,1,8,1,9,1,11,1,9,3,13,1,11,1,9,3,10,1,9,4,13,1,9,1,13,1,9,1,11,1,9,2,8,1,9,2,8,1,11,2,9,2,11,1,9,5,11,1,9,1,13,1,9,2,16,1,9,2,11,1,9,3,10,1,9,1,10,1,9,2,11,1,9,16,8,1,9,1,13,1,11,1,10,2,11,5,16,1,9,2,8,2,9,3,8,1,9,4,10,1,9,13,11,1,9,1,16,1,9,2,16,1,11,1,10,1,16,1,17,1,9,2,16,1,11,6,9,2,10,1,11,1,16,2,11,4,9,2,8,1,9,1,10,1,9,1,11,1,9,1,11,2,9,1,8,1,9,2,13,1,9,2,11,1,9,4,11,1,9,1,11,1,10,1,9,2,11,1,9,2,11,1,9,1,11,2,9,1,10,1,11,2,16,2,11,2,16,1,17,2,16,1,17,2,16,2,11,1,17,1,16,1,11,1,17,1,16,1,11,1,16,6,11,1,17,1,16,3,11,1,16,1,9,1,11,2,16,1,11,1,16,4,17,1,16,2,17,1,16,1,17,2,16,3,17,1,16,5,11,1,16,2,9,2,11,1,9,2,10,1,11,2,9,2,11,1,9,2,10,1,9,1,16,1,9,1,16,1,17,3,16,1,13,2,9,1,8,1,9,8,8,1,9,2,13,2,8,1,11,1,16,1,11,1,16,4,9,1,11,2,9,2,11,1,9,1,16,2,17,2,16,2,17,4,16,1,17,2,5,4,33,1,13,1,33,1,6,1,30,1,33,5,5,527,33,1,28,2,6,2,13,2,9,1,6,1,24,1,13,1,24,1,6,1,7,1,6,1,8,1,10,1,17,4,9,2,11,1,8,1,9,2,8,3,15,1,17,2,24,1,8,1,24,1,6,2,7,1,6,1,10,1,12,1,16,1,17,1,24,1,12,1,24,1,8,1,13,1,8,1,13,1,8,3,24,1,13,1,8,1,7,1,8,1,29,1,6,1,7,1,13,1,9,2,6,2,7,1,8,1,29,1,24,1,8,1,7,1,17,2,9,1,8,1,9,1,13,1,24,1,17,1,10,3,13,1,7,1,29,1,30,1,6,1,10,1,8,1,17,1,11,1,7,1,28,3,30,1,6,1,24,1,13,1,8,1,6,1,13,1,}, {30,2,13,1,8,1,13,1,9,1,12,2,7,1,29,1,28,1,29,2,7,1,29,1,6,1,12,1,10,1,9,1,8,1,6,2,8,1,6,1,7,1,17,1,9,1,6,1,28,8,24,1,7,1,8,1,7,1,6,2,7,1,6,1,30,1,6,1,29,1,8,1,13,1,8,2,13,1,30,1,8,1,13,1,7,1,13,1,6,2,8,1,9,1,13,2,8,1,24,2,8,1,9,1,11,1,17,3,11,2,10,1,9,1,8,1,9,1,10,1,9,1,17,2,8,2,24,1,13,2,24,1,10,1,8,1,24,1,9,1,17,2,11,1,7,1,13,2,10,1,14,1,17,2,14,1,11,1,9,1,10,1,12,1,9,1,10,1,11,1,17,3,16,1,17,1,11,1,17,8,9,1,17,1,13,1,9,1,24,1,8,1,24,1,8,1,24,1,9,1,8,1,9,1,13,1,8,1,10,1,9,1,13,1,8,1,9,1,11,1,24,1,15,1,17,5,10,1,8,1,6,3,8,1,9,1,8,1,17,2,11,1,17,1,12,1,9,2,8,1,13,1,8,1,13,1,24,1,10,1,24,2,16,1,12,1,9,1,7,1,28,1,6,1,30,2,28,1,30,1,28,1,6,3,30,1,28,1,9,1,17,66,16,3,17,3,11,1,7,1,6,1,30,1,6,1,30,2,28,3,29,1,28,3,16,1,17,5,16,1,17,1,16,7,11,1,10,1,16,1,11,1,16,1,17,1,16,1,17,2,16,8,9,1,16,1,9,1,10,1,11,3,16,1,11,1,16,1,11,2,16,1,11,1,17,1,9,1,16,12,11,1,16,2,11,3,16,1,11,1,9,1,11,2,9,1,11,1,9,1,11,2,9,1,16,1,11,2,9,3,11,2,9,1,11,1,16,1,9,2,11,1,9,2,13,4,9,2,11,2,9,3,13,4,6,1,30,1,6,1,13,2,6,2,13,1,6,3,13,1,6,1,29,1,13,5,9,3,13,4,30,1,13,4,11,1,9,2,16,14,11,3,9,1,13,1,7,1,13,7,6,1,13,2,9,2,11,1,9,1,11,1,9,2,13,1,9,2,13,1,6,1,28,1,6,1,30,2,9,2,13,1,30,2,6,3,30,2,9,1,11,1,13,1,9,7,13,1,6,1,30,1,28,6,30,1,6,2,13,1,9,5,13,1,6,1,13,5,9,2,13,2,9,3,11,1,9,1,16,3,11,1,9,1,13,3,6,1,9,1,17,1,11,1,9,1,11,1,8,1,9,2,11,1,9,2,8,1,13,1,8,1,13,1,9,1,8,1,13,2,9,1,8,1,24,1,9,2,8,1,11,1,9,1,11,1,9,1,17,2,16,1,17,10,16,1,11,1,17,2,16,1,17,1,11,2,17,1,11,1,16,1,17,1,16,1,11,1,16,1,11,1,16,1,11,1,9,3,11,2,17,6,9,1,16,1,10,1,16,1,11,1,9,1,17,1,9,1,17,1,9,1,16,2,13,1,9,1,13,1,11,1,8,1,9,1,11,1,9,3,11,3,16,2,11,2,10,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,7,11,2,16,1,11,2,16,2,11,2,16,3,11,1,16,2,11,1,16,2,9,1,17,2,16,1,11,2,16,1,11,1,16,2,11,1,16,1,10,1,11,1,16,1,11,1,16,2,11,1,9,1,16,2,11,1,16,1,17,1,11,1,16,5,17,1,16,2,11,1,16,1,17,3,11,2,16,2,17,2,11,1,16,2,17,1,16,4,11,1,17,1,16,6,17,1,16,5,17,6,10,1,8,1,13,2,30,1,13,1,9,1,8,1,9,1,8,1,9,3,11,1,9,1,11,1,13,1,9,2,8,1,9,3,11,1,13,1,7,1,6,2,30,1,13,3,8,1,13,1,11,2,16,1,11,1,16,8,17,1,16,3,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,3,16,9,11,1,16,2,17,1,16,2,17,2,16,2,8,1,9,1,8,1,9,1,13,1,9,3,8,1,9,2,10,1,9,6,8,1,9,3,8,2,13,1,9,2,8,1,9,3,8,1,13,1,9,1,8,2,11,1,9,3,11,2,16,1,11,1,16,3,11,2,16,2,11,1,16,1,9,1,11,1,16,1,11,2,17,2,16,1,11,1,9,2,16,1,10,1,11,1,9,3,11,1,16,2,9,1,16,1,9,1,11,1,9,1,16,1,11,1,9,1,10,1,11,3,9,1,16,1,10,1,17,1,9,2,16,1,17,1,16,1,17,1,16,2,9,2,16,2,11,2,9,2,10,1,11,1,9,1,8,1,9,1,11,1,9,2,10,1,9,1,13,1,8,1,9,1,8,1,16,1,9,1,16,1,9,2,13,2,9,4,13,1,11,1,9,1,16,1,9,1,16,1,13,1,11,1,9,1,11,1,9,1,8,1,9,3,8,2,9,2,13,1,9,1,11,1,9,1,10,1,9,1,11,1,9,2,10,1,9,4,16,1,9,1,11,1,9,5,8,1,9,1,8,1,9,2,16,1,9,1,11,1,16,2,10,1,9,1,16,1,13,1,9,2,8,1,13,2,9,2,8,1,13,1,9,1,8,1,9,2,10,1,9,1,11,4,8,1,9,3,8,1,11,2,8,1,16,1,11,2,8,1,16,1,9,1,13,1,9,1,10,1,13,1,11,1,9,3,16,1,17,1,9,2,11,1,9,1,13,1,8,1,13,1,11,1,9,1,11,1,9,4,11,1,9,1,11,1,9,1,10,2,9,1,13,1,9,3,13,1,9,1,10,2,9,1,11,3,9,1,16,1,10,2,11,2,9,1,16,1,11,2,8,1,10,1,11,3,10,1,9,1,16,1,11,1,16,1,11,1,17,1,16,2,11,2,16,1,9,1,11,1,9,1,8,1,9,2,13,1,8,1,13,1,8,1,9,1,11,1,8,1,13,1,9,2,13,1,11,1,9,1,8,4,9,3,13,2,8,1,13,1,9,3,11,1,16,1,9,2,8,2,9,1,11,1,9,1,8,2,9,3,8,1,9,3,8,1,9,3,10,1,8,1,13,1,8,1,11,1,9,2,16,1,9,2,11,1,16,1,9,2,11,1,9,3,13,1,9,1,13,1,9,3,10,1,8,2,11,1,9,1,10,1,9,1,13,1,9,2,8,2,9,1,16,2,9,4,13,1,9,4,13,2,11,1,13,1,10,1,9,5,8,1,16,1,9,2,13,1,9,2,8,1,16,1,9,1,11,1,9,2,11,1,16,1,11,1,17,2,16,1,11,2,9,1,11,2,9,1,8,1,9,1,10,1,8,1,13,1,9,2,13,1,9,1,11,2,16,1,11,1,9,4,11,1,9,4,13,1,9,1,13,1,9,2,16,1,11,3,16,1,10,1,9,5,13,1,10,1,9,1,8,1,9,2,8,1,9,1,16,1,11,1,9,2,8,4,9,1,13,1,9,2,8,1,13,1,8,1,13,1,9,1,13,1,9,2,13,2,9,1,8,1,13,1,8,1,13,1,8,2,9,1,8,1,9,2,13,1,9,3,8,1,13,1,9,3,13,1,9,4,10,1,8,1,9,1,8,1,9,1,13,5,9,1,8,1,9,2,13,1,9,1,13,1,11,1,9,1,8,1,13,1,8,1,9,4,13,1,9,8,13,1,9,1,8,1,9,2,13,1,8,1,9,1,8,1,11,1,9,2,11,1,8,1,9,1,10,1,8,1,13,1,9,4,10,1,9,1,11,1,13,1,8,1,9,1,11,2,9,1,11,2,9,1,11,1,17,1,11,1,8,1,9,2,11,2,8,1,11,1,8,1,9,3,11,1,13,1,9,2,10,1,9,1,11,1,9,2,10,1,8,1,9,1,13,1,8,1,9,1,13,1,9,5,11,1,9,1,11,1,16,2,9,3,8,1,9,5,13,1,8,1,9,2,13,1,10,1,13,3,9,1,11,1,8,1,9,3,10,1,13,3,8,4,13,1,9,2,10,1,9,1,8,1,11,3,9,1,11,1,9,1,16,1,9,1,10,1,9,1,8,1,11,1,16,1,9,4,11,1,9,9,8,1,9,4,16,1,17,1,16,1,9,9,6,1,7,1,13,2,8,1,6,1,13,1,6,3,13,1,8,2,13,1,30,1,6,1,28,2,6,1,13,1,9,5,11,2,9,2,11,1,9,2,10,1,9,2,10,1,9,1,11,2,16,1,11,2,16,1,11,2,16,1,11,3,16,1,9,1,10,1,11,6,10,1,11,1,9,1,10,1,16,1,10,1,9,2,11,2,9,5,11,1,9,7,10,1,9,4,8,1,9,1,13,1,10,1,13,1,9,2,10,1,8,1,13,1,9,2,8,1,11,1,9,2,10,1,9,5,11,1,10,1,9,3,11,1,9,1,11,1,9,1,11,2,9,1,11,1,16,3,11,2,10,1,11,4,16,1,11,1,16,1,11,2,16,1,11,3,17,1,11,1,16,2,11,1,16,4,17,1,16,1,17,5,16,1,17,2,11,1,17,1,11,2,16,2,17,2,16,1,9,2,16,1,10,2,11,2,10,1,9,5,16,1,17,2,16,1,9,1,8,1,9,2,11,1,8,1,9,7,8,2,9,3,11,1,9,3,8,1,11,2,9,1,13,10,6,1,13,2,9,3,13,1,9,1,13,2,9,1,16,1,17,3,16,1,17,1,16,2,17,2,16,4,5,1,9,1,33,1,13,2,33,2,5,519,33,1,28,2,6,1,13,1,8,1,13,3,24,1,8,2,7,1,6,1,13,1,24,2,17,4,8,1,11,2,8,1,9,1,24,1,8,2,10,1,9,1,17,2,12,1,13,1,28,2,6,2,7,1,9,2,17,1,9,1,11,1,24,1,9,1,8,1,7,1,13,3,6,1,8,1,24,1,8,1,13,1,29,1,6,2,29,1,7,1,13,1,24,1,7,1,8,2,7,1,6,1,8,1,13,2,9,1,12,1,17,1,8,2,7,1,29,1,9,1,17,2,10,2,13,2,29,1,13,1,6,1,9,2,10,1,17,1,28,4,29,1,6,1,15,1,13,4,}, {28,1,6,2,8,2,24,1,12,2,13,1,28,1,30,1,6,1,29,1,6,1,7,1,6,1,24,1,9,1,15,1,8,1,7,1,30,1,13,2,8,1,12,1,17,1,29,1,28,8,24,1,8,1,6,2,29,1,13,1,30,1,6,1,30,1,6,1,13,1,6,1,8,1,13,3,29,1,6,1,7,1,6,3,13,2,6,1,7,1,6,1,8,1,9,3,10,1,9,2,17,2,9,1,17,1,10,1,8,2,10,1,9,2,17,2,12,1,13,1,9,1,13,2,9,1,8,1,9,1,8,1,24,1,17,1,15,1,9,1,24,1,8,1,7,1,8,1,12,1,17,1,14,1,12,1,15,2,8,1,13,1,15,1,8,1,9,1,17,3,15,1,17,1,16,1,17,6,12,1,16,1,12,1,10,1,12,1,24,1,9,1,8,1,9,1,13,1,8,2,24,1,9,1,8,1,11,1,8,1,9,1,8,1,13,2,24,2,14,1,17,6,11,1,13,1,30,1,6,1,8,1,9,1,15,1,17,3,16,1,24,1,8,1,9,1,13,2,8,1,6,1,9,2,8,1,9,1,16,1,17,1,9,1,7,1,29,1,30,1,6,1,30,1,28,1,30,1,28,1,29,2,6,1,7,1,9,1,12,1,17,46,16,1,17,17,9,1,16,1,11,1,17,1,16,1,17,3,13,1,6,1,29,1,30,1,29,2,30,1,28,1,30,1,29,1,28,4,13,1,17,1,16,3,17,4,16,2,11,1,16,5,11,1,16,3,11,1,17,1,16,4,11,1,16,3,11,1,16,1,11,2,9,2,16,1,11,1,16,19,11,1,16,4,11,1,16,1,11,2,16,1,11,1,9,5,13,1,9,2,11,2,9,1,11,1,9,3,11,1,9,2,11,1,13,1,16,1,13,1,9,2,13,1,11,1,13,2,9,3,11,1,9,3,13,2,6,2,13,3,6,1,13,5,30,1,13,1,6,1,13,1,28,1,13,3,6,1,13,1,9,1,16,1,9,1,13,4,6,1,13,2,9,1,11,1,9,2,11,1,16,14,11,4,9,1,6,1,13,2,6,1,13,3,6,1,13,4,9,1,13,1,9,1,13,1,9,1,13,1,9,2,13,2,6,1,30,2,28,1,6,1,13,3,28,2,6,1,28,1,30,2,13,3,11,1,9,5,13,2,30,1,28,7,13,1,6,2,13,1,11,1,9,2,13,1,9,1,13,2,6,1,13,1,6,1,13,2,9,3,11,1,13,1,9,2,11,3,16,1,9,1,11,1,16,2,9,1,30,1,13,2,9,1,13,1,16,1,9,1,13,1,9,1,11,1,9,2,8,1,9,2,13,1,9,1,13,1,9,1,13,2,8,1,13,2,9,1,8,1,9,1,13,1,10,1,11,4,17,2,11,2,17,6,16,1,17,1,16,2,17,2,16,3,17,3,16,1,17,2,16,2,17,2,16,2,11,4,17,4,11,1,17,1,16,3,9,2,11,1,10,1,11,1,8,1,11,1,17,1,11,1,9,1,8,2,9,2,10,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,17,1,11,1,16,2,9,1,16,5,11,1,16,2,11,1,16,1,11,1,17,1,16,3,17,1,16,1,11,1,16,1,17,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,3,11,1,16,1,11,1,16,3,11,1,16,3,17,1,16,6,9,1,11,1,16,1,11,5,16,9,11,2,16,1,17,1,16,7,17,1,16,2,11,1,16,7,17,1,16,1,17,1,16,2,17,1,16,1,17,1,11,1,17,2,16,2,17,2,16,1,17,5,16,1,13,2,6,1,8,1,9,3,11,1,9,1,8,1,9,1,10,1,11,1,10,1,9,2,11,1,13,2,7,2,13,2,9,4,11,1,17,3,16,22,17,1,11,1,16,3,17,1,16,11,11,1,16,1,11,1,17,1,16,3,17,1,16,1,17,1,16,1,10,1,9,4,13,1,8,1,9,1,8,1,11,1,8,1,9,1,8,1,9,1,10,1,9,3,8,1,9,1,8,1,9,2,8,3,9,3,11,1,8,1,13,1,8,1,9,5,13,1,11,3,16,1,11,1,16,1,11,2,16,1,9,1,10,1,16,7,9,1,16,1,17,1,16,3,9,3,16,2,11,1,9,3,11,1,9,2,11,3,10,1,9,1,16,1,11,2,16,1,17,1,16,1,11,2,16,1,11,1,16,3,11,1,16,2,11,4,9,1,11,1,16,1,11,2,8,2,9,1,11,1,9,1,10,1,8,1,9,1,8,1,9,2,11,1,13,1,9,1,8,1,9,1,13,1,9,7,11,1,9,2,16,1,13,1,11,2,9,1,11,1,16,1,9,1,8,1,10,1,13,2,10,1,8,1,9,10,8,1,13,2,8,1,13,1,9,1,8,1,11,1,9,2,16,1,11,1,9,1,11,2,9,1,11,2,16,1,8,1,11,2,9,1,11,1,9,7,8,1,13,1,9,1,13,1,8,1,9,1,13,2,8,1,9,1,13,2,11,1,8,1,9,1,16,1,9,2,13,1,9,1,8,1,9,1,13,1,8,2,11,1,8,1,9,1,13,1,8,1,11,1,8,1,13,1,9,1,10,1,9,2,17,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,2,11,1,9,2,8,1,9,3,11,1,9,1,11,1,13,1,9,3,13,1,8,1,13,2,9,10,8,1,10,1,9,2,11,1,9,1,10,2,11,1,9,1,8,1,11,1,9,3,11,1,16,1,10,1,13,1,9,1,11,1,10,1,11,1,9,2,11,1,9,1,13,1,9,1,8,1,13,2,8,2,13,1,8,1,9,1,8,1,9,2,13,1,9,5,10,1,9,3,13,2,8,1,13,1,9,3,8,1,9,1,13,1,9,2,11,1,9,1,8,1,9,5,11,2,9,4,16,1,8,1,9,2,11,1,8,2,9,1,8,1,10,1,9,2,16,1,8,1,9,3,11,1,8,1,9,3,13,1,7,1,8,1,13,2,11,3,9,1,16,1,9,2,10,1,9,3,16,1,11,1,9,1,11,1,9,1,8,1,9,1,13,2,9,1,13,1,9,2,10,1,8,1,9,3,11,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,11,1,13,1,9,2,8,1,9,3,16,1,11,1,17,1,16,2,11,2,16,1,9,3,10,1,16,1,11,2,9,2,11,1,8,1,9,2,16,1,9,1,10,1,16,2,10,1,9,2,8,1,11,2,9,3,13,1,9,1,8,1,11,1,10,2,16,1,9,1,11,1,9,3,11,1,9,1,16,1,8,1,11,1,9,1,11,1,8,1,9,5,11,1,8,1,9,1,10,1,9,1,13,1,9,1,13,1,9,1,11,1,9,2,13,1,8,1,13,1,9,1,13,1,8,1,9,2,13,1,9,1,8,1,13,2,9,1,8,2,9,2,13,1,8,2,9,1,8,2,9,1,13,1,8,1,9,3,13,1,8,1,9,3,13,1,9,1,8,3,13,1,8,1,13,1,8,1,9,1,13,2,9,1,8,2,9,1,13,3,9,1,8,1,13,4,9,3,8,1,10,1,9,3,8,1,9,1,13,3,9,3,13,1,8,1,9,2,13,1,9,1,8,1,9,2,13,1,9,1,13,2,9,3,8,2,13,1,9,2,13,1,9,2,11,1,9,2,8,1,9,2,11,1,9,1,16,1,9,1,11,1,13,1,9,2,13,2,9,1,13,1,9,1,8,1,9,2,11,2,8,2,9,2,10,1,9,13,13,2,9,6,13,1,9,2,11,1,9,2,8,2,9,1,13,2,9,1,8,1,9,2,11,1,9,2,13,2,9,3,13,2,9,1,13,2,9,3,13,1,9,1,11,1,10,1,11,1,9,3,8,1,11,1,9,1,11,1,9,6,16,1,9,4,16,1,9,2,13,1,9,7,16,1,13,1,16,1,9,4,11,1,10,1,29,1,30,2,28,1,30,1,28,1,29,1,13,2,8,1,9,1,8,1,9,1,11,4,13,3,6,1,30,1,13,1,8,1,9,2,8,1,11,1,9,2,11,1,9,11,11,1,9,1,11,1,16,1,9,1,16,1,11,1,9,2,16,1,11,2,16,1,11,1,10,1,11,6,9,1,10,2,17,1,8,1,9,4,8,1,9,2,13,1,9,1,8,1,13,1,8,1,9,1,8,1,10,1,9,1,10,1,9,5,10,1,9,5,13,1,10,1,9,7,10,1,9,4,11,1,10,1,9,3,11,1,9,5,11,1,10,1,9,1,11,1,9,1,11,1,9,2,10,1,11,3,9,2,11,1,9,2,11,5,9,1,16,3,11,1,9,1,11,2,16,3,17,1,16,3,17,1,16,7,11,1,17,2,11,1,9,1,16,1,11,1,9,1,16,1,9,1,16,2,11,4,16,1,17,1,16,1,17,1,16,1,11,1,16,1,11,1,9,1,11,2,16,2,11,2,16,1,9,1,11,1,13,1,8,1,9,3,16,1,9,1,10,1,16,1,9,1,11,1,9,2,11,1,13,1,9,5,8,2,13,1,9,1,13,1,8,1,13,1,9,1,13,3,30,1,13,3,8,1,13,3,9,1,11,1,9,2,16,2,17,2,16,5,17,2,16,2,5,2,33,1,5,1,33,1,5,513,33,1,28,3,13,1,8,2,9,1,24,1,9,1,8,1,24,1,6,2,13,2,16,1,17,3,12,1,11,1,12,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,10,1,12,1,9,2,8,1,13,1,28,1,6,1,8,1,13,1,12,1,17,2,12,1,10,1,24,2,13,1,8,1,30,1,6,2,13,2,8,2,13,4,6,1,13,1,6,1,24,1,13,1,24,1,6,1,7,1,13,3,6,1,8,1,17,2,15,1,10,1,24,1,8,1,9,1,12,2,9,1,10,1,29,1,13,1,6,2,13,2,17,1,10,1,12,1,6,1,28,1,30,1,28,2,6,1,8,1,24,1,6,2,8,1,}, {6,1,29,1,13,1,8,1,24,1,13,1,17,1,24,1,6,1,30,1,28,1,29,1,6,1,7,1,30,1,29,1,24,1,8,1,24,2,13,1,8,1,30,1,6,1,24,1,10,1,14,1,6,1,28,8,13,1,24,1,8,1,13,1,6,2,29,1,13,1,7,1,29,1,8,2,29,1,6,1,13,2,7,1,29,1,6,1,7,1,6,2,8,1,13,1,8,1,13,3,10,1,9,2,24,1,8,1,17,4,9,3,8,1,9,1,8,1,11,1,17,2,9,1,24,1,8,1,13,1,8,1,9,1,24,2,8,2,17,2,15,1,8,1,13,2,8,1,14,4,15,2,9,2,10,1,9,1,11,1,17,2,14,1,17,1,12,1,17,7,16,1,17,1,16,1,10,1,9,1,8,1,9,1,12,1,24,1,8,1,13,1,8,1,9,1,13,1,8,2,24,1,7,2,6,1,8,2,9,1,10,1,15,1,17,4,14,1,9,1,7,1,29,1,13,1,8,2,12,2,11,1,17,1,10,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,24,1,8,2,11,1,17,1,10,2,6,1,28,3,30,1,28,1,30,1,28,1,6,1,29,1,30,1,29,1,13,1,10,1,17,64,16,1,12,1,11,1,17,5,13,1,6,1,30,1,28,1,30,2,28,8,13,1,17,1,16,1,17,6,16,3,11,1,16,1,11,1,9,2,16,6,9,1,16,4,17,1,16,6,11,4,16,4,11,1,16,2,11,1,16,2,11,1,17,1,16,3,11,1,16,1,11,1,16,5,11,1,16,3,11,2,13,1,9,2,8,1,9,7,13,1,9,1,13,1,9,3,16,2,11,3,9,3,13,3,9,3,11,2,9,2,13,3,30,1,13,2,6,1,29,1,13,4,6,2,13,2,30,1,29,1,6,1,13,1,6,1,13,3,9,4,13,2,6,1,13,1,9,1,13,2,11,1,9,1,16,14,11,1,16,1,11,3,9,2,13,1,6,1,13,1,6,1,13,2,6,1,13,4,6,1,9,3,13,1,9,1,13,5,30,3,28,1,13,1,9,1,13,1,30,1,28,2,6,1,30,2,6,1,13,1,9,2,11,1,9,4,13,2,30,1,28,6,30,1,6,2,13,2,9,4,13,1,9,1,13,7,11,1,9,3,11,1,13,1,9,3,11,2,16,4,9,1,13,5,9,1,11,2,16,1,17,1,9,1,11,1,16,1,9,2,11,1,9,3,13,3,8,2,13,3,8,4,9,4,16,1,17,2,12,1,17,7,11,1,17,1,16,1,17,1,16,2,11,1,16,1,17,2,9,1,17,1,10,1,17,1,11,1,17,3,10,1,17,1,9,1,12,1,9,1,11,1,16,1,11,1,17,5,16,2,9,1,11,1,17,1,9,1,11,1,16,1,11,1,17,1,16,1,11,1,13,1,9,1,11,2,16,1,11,2,9,1,10,1,16,3,11,1,16,1,11,1,16,3,11,4,17,1,16,7,17,1,16,2,11,1,16,5,11,1,9,1,11,1,10,1,17,1,11,1,16,1,11,1,16,3,11,2,16,2,11,2,16,1,11,4,16,1,11,4,10,1,11,3,16,5,11,1,17,1,11,4,16,6,17,1,16,6,11,2,16,3,17,2,16,2,17,2,16,2,17,1,16,2,17,2,16,3,17,2,16,3,17,7,11,1,13,1,8,1,9,2,13,2,9,4,13,1,6,1,13,1,6,1,30,1,6,1,13,2,9,2,11,1,16,1,17,5,11,1,16,13,17,2,16,4,11,1,16,1,17,1,16,2,17,1,11,1,17,1,11,1,16,11,17,1,16,2,11,1,16,6,11,1,16,2,11,3,9,3,8,1,11,1,9,4,8,1,9,1,10,2,8,1,9,1,8,1,9,4,8,1,9,4,11,1,13,2,9,5,11,1,9,1,11,1,16,1,8,1,11,2,16,1,9,1,16,1,10,1,9,1,16,4,11,1,16,3,17,1,11,1,17,2,11,1,10,1,11,1,9,2,11,3,9,3,11,1,10,1,9,4,11,3,16,1,11,2,16,1,17,1,11,1,9,1,16,1,9,1,16,4,10,1,9,1,8,1,9,1,11,2,16,1,11,1,16,1,11,2,9,2,11,1,13,1,9,1,13,1,9,1,11,1,13,1,9,7,8,1,13,1,8,1,9,1,16,1,9,2,10,1,9,1,11,1,16,1,10,1,9,1,10,1,8,1,16,1,8,1,9,1,13,1,9,1,8,1,13,2,9,1,13,2,8,2,13,1,9,1,13,2,9,2,13,1,8,1,13,2,7,1,13,1,11,3,9,1,16,1,9,3,10,1,9,2,10,2,9,1,16,1,11,2,9,4,10,1,9,2,8,1,9,1,8,1,9,1,8,2,9,2,13,1,8,1,9,1,8,1,13,2,8,1,9,1,13,1,9,4,8,2,13,1,8,1,13,3,8,1,13,7,8,1,17,1,16,1,9,1,13,3,9,1,8,1,6,1,8,1,9,2,10,1,13,3,8,1,13,2,8,1,10,1,8,1,13,1,9,4,10,1,9,1,13,1,9,3,10,1,9,2,8,1,9,3,11,1,9,1,11,1,9,3,8,1,9,2,8,1,11,1,9,2,11,1,9,1,10,1,16,1,9,1,16,1,9,1,11,1,10,1,9,2,10,1,9,1,8,1,13,3,9,1,13,2,9,2,8,2,9,1,8,1,9,1,8,1,13,2,9,1,8,1,13,1,8,1,9,4,13,1,9,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,8,2,9,1,10,1,13,1,8,2,9,2,8,1,9,3,16,1,9,1,8,1,9,3,13,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,11,1,8,1,10,1,9,2,8,1,9,2,8,1,13,1,10,1,13,3,9,1,13,1,9,1,10,1,9,1,8,1,9,4,8,1,9,2,8,1,9,1,8,1,13,1,9,2,13,1,9,1,8,1,13,1,11,1,8,1,9,1,13,1,9,2,8,4,13,2,8,1,9,2,8,1,9,5,11,1,10,1,16,1,17,1,16,3,9,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,13,1,9,1,13,1,9,1,16,1,9,2,11,1,10,1,9,1,13,1,10,1,9,2,16,1,9,1,10,1,9,1,10,1,9,1,8,1,13,1,9,1,11,1,16,1,11,1,9,1,11,1,9,2,11,2,9,2,13,1,9,1,11,2,9,1,10,1,9,4,16,1,11,1,9,1,11,1,9,1,8,1,9,4,13,1,9,7,13,3,9,1,13,1,9,2,8,1,13,2,9,2,8,1,9,3,8,1,13,2,8,1,9,1,8,1,13,1,9,1,11,2,13,1,8,1,9,1,8,1,13,4,7,1,13,2,8,1,13,2,9,1,13,2,9,1,13,1,9,2,13,3,9,1,8,1,9,1,8,1,13,2,9,1,8,1,9,1,8,2,9,1,8,1,9,1,8,1,13,1,9,2,8,1,9,1,11,1,13,1,9,4,8,5,9,1,8,1,9,2,13,1,9,1,13,1,8,2,13,1,8,3,11,1,9,3,11,1,9,1,11,1,17,1,13,1,9,3,11,1,9,1,8,1,13,1,9,1,8,2,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,13,4,8,2,9,1,11,2,9,4,13,1,9,2,8,2,13,1,16,1,13,1,9,1,8,1,13,1,9,1,13,2,9,4,8,1,9,1,8,1,9,7,8,1,9,3,8,1,9,1,11,1,10,1,9,3,10,1,11,1,9,4,8,2,11,1,9,2,11,2,9,3,8,1,13,1,8,2,9,1,8,1,9,8,11,1,9,5,7,1,29,1,30,1,28,1,30,1,8,2,9,1,11,1,16,2,11,1,17,1,11,1,16,1,11,3,10,2,17,1,11,1,8,1,7,1,13,1,8,2,9,2,11,1,9,1,11,2,10,1,9,2,10,1,9,4,11,1,9,1,16,1,9,1,16,1,11,3,16,1,11,3,16,2,10,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,16,2,9,1,8,1,10,1,9,1,8,1,10,1,9,1,11,1,9,9,11,1,9,7,10,1,9,6,10,1,9,2,8,2,11,1,9,2,11,1,9,8,10,1,8,1,9,1,10,1,9,5,8,1,11,1,9,1,10,1,9,3,11,1,9,3,11,1,16,1,9,3,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,2,8,1,9,2,16,1,11,2,16,1,11,1,16,3,11,3,16,2,17,1,16,1,9,1,17,1,11,1,16,4,11,2,16,1,11,1,16,2,17,4,16,1,17,1,11,1,17,2,16,1,17,1,16,7,11,6,16,1,9,1,11,1,9,1,11,3,10,1,11,2,9,1,11,3,9,2,11,1,9,2,11,1,9,6,13,2,9,3,13,1,9,1,13,1,11,1,9,1,11,2,10,1,11,1,9,1,16,1,11,1,9,1,11,4,16,3,17,7,5,510,28,2,30,1,13,1,8,1,11,1,9,1,13,1,8,1,9,1,13,2,6,1,24,2,17,4,11,1,10,1,17,1,8,1,9,1,13,1,9,1,24,1,8,1,24,1,13,1,11,1,12,2,29,1,30,1,6,1,30,1,13,1,9,1,8,1,17,2,12,2,8,1,13,1,8,2,13,1,8,1,6,1,7,2,8,3,9,1,7,1,13,1,8,2,13,5,8,1,6,1,8,1,13,1,7,1,24,1,12,1,17,1,12,1,24,1,9,1,6,1,17,2,12,1,10,1,9,1,24,1,7,2,29,1,7,1,8,1,24,2,12,1,28,1,30,1,28,1,29,1,30,1,24,3,6,2,13,1,}, {6,3,7,1,6,1,8,1,10,1,12,1,24,1,29,2,28,1,30,1,6,1,29,1,8,1,9,1,10,1,12,1,8,1,6,1,13,1,7,2,24,1,17,1,12,1,29,1,28,8,9,2,13,1,8,1,6,3,13,1,28,1,7,1,29,1,13,1,29,1,6,1,29,1,13,2,24,1,6,1,7,1,6,1,13,1,8,1,24,1,8,1,13,1,7,2,9,2,8,1,12,2,16,1,17,2,16,1,9,1,13,1,8,1,24,1,8,1,9,1,17,1,12,1,17,1,10,1,13,1,24,1,13,1,8,1,24,1,9,1,24,1,8,2,17,2,8,2,13,2,24,1,12,1,17,1,14,2,15,1,14,1,10,1,24,2,9,1,12,1,17,3,16,1,11,1,16,1,17,4,16,1,12,1,11,1,12,1,9,2,11,1,8,2,9,2,13,1,9,1,8,1,24,1,7,1,10,1,9,1,8,2,24,1,7,1,24,1,13,1,8,1,10,1,16,2,17,3,16,1,24,1,6,1,13,1,9,1,8,2,9,1,17,2,10,1,9,3,8,2,13,2,24,1,10,1,8,1,9,1,17,1,11,1,12,1,17,1,6,1,7,1,30,1,6,1,29,2,30,1,28,2,30,1,28,2,29,1,13,1,17,61,16,1,17,4,11,1,16,1,17,4,16,1,6,2,30,1,28,2,30,1,28,7,6,1,17,6,16,1,17,1,16,3,11,2,9,2,11,1,9,1,16,2,11,1,16,2,11,1,16,4,17,1,16,2,17,1,16,9,11,2,9,1,11,1,16,18,11,1,9,3,11,2,9,1,11,1,9,6,13,1,11,1,9,1,11,1,9,5,11,1,9,1,16,1,9,1,13,1,9,3,13,1,9,4,11,1,9,4,13,2,30,2,6,1,13,3,6,3,13,1,28,1,6,1,13,2,6,1,30,1,13,1,6,2,8,1,13,1,9,1,16,1,11,1,13,3,9,7,11,1,16,1,11,1,16,1,11,1,16,6,11,2,16,4,9,1,11,1,9,3,6,1,13,4,30,1,13,11,9,1,13,2,6,1,28,1,6,1,30,2,13,1,11,1,13,1,28,1,30,2,28,1,6,1,13,3,9,2,13,1,11,1,9,1,13,2,6,2,28,6,30,1,6,1,28,1,7,1,9,1,11,1,9,2,11,1,13,2,9,1,13,6,9,1,11,1,9,3,13,2,9,2,13,1,9,1,16,1,11,1,17,1,11,1,16,1,11,1,13,1,6,1,13,2,9,1,11,1,16,3,17,8,11,1,9,1,8,1,13,1,8,1,10,1,13,1,8,1,9,1,13,1,6,1,13,2,9,1,13,1,9,1,8,1,9,1,11,1,12,1,17,4,11,1,17,6,16,1,17,1,11,1,17,1,11,1,16,1,17,2,11,1,17,1,11,1,17,1,11,1,17,1,10,1,16,1,11,1,17,1,11,1,16,1,12,1,11,1,12,1,11,1,9,1,12,1,11,1,17,1,16,1,17,3,9,1,11,2,9,1,16,1,17,1,16,2,17,1,16,1,13,1,11,1,9,1,11,1,9,2,16,1,11,1,16,1,9,1,16,1,17,1,16,1,17,1,11,1,17,1,11,1,16,5,11,1,16,3,17,1,16,4,11,1,16,1,11,1,16,5,11,1,16,1,9,1,16,2,11,2,16,4,11,2,16,2,11,1,16,2,17,1,11,1,16,2,11,1,16,1,11,1,9,1,16,2,11,2,9,1,16,2,11,1,16,1,11,1,9,2,16,5,9,1,17,1,10,1,17,1,11,1,16,15,17,1,16,2,17,1,16,3,17,2,16,2,17,1,16,1,17,2,16,1,17,1,16,2,17,2,16,1,17,1,16,3,9,5,13,2,28,2,30,1,6,2,13,1,7,1,9,2,13,1,9,1,11,1,16,1,11,1,16,6,10,1,16,18,11,1,17,1,16,3,17,1,16,2,17,1,16,4,11,1,16,1,17,1,16,4,11,1,16,2,17,1,16,3,11,1,16,2,11,1,16,3,11,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,3,9,2,13,1,8,1,9,6,8,1,9,1,11,2,9,1,11,2,9,1,11,1,9,1,13,1,11,1,9,2,10,1,9,1,11,1,9,2,11,2,9,1,16,3,11,2,16,1,10,1,17,1,16,2,11,1,10,1,9,1,17,1,9,1,16,2,11,2,9,1,11,1,10,1,9,1,13,1,8,1,9,1,13,1,10,1,11,3,9,1,11,2,16,1,11,1,9,1,16,1,9,4,11,1,9,1,8,1,17,1,16,1,11,1,16,1,9,1,11,4,16,1,17,1,16,2,9,1,10,1,11,1,9,4,8,1,13,1,10,1,9,1,8,1,9,1,8,1,9,1,11,1,9,2,8,2,9,3,8,1,11,2,9,1,10,1,8,1,9,3,8,1,13,1,9,1,8,1,9,1,13,1,8,1,13,4,8,2,13,2,8,1,13,2,9,2,13,1,8,2,13,2,9,2,11,1,16,1,9,2,11,2,9,3,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,10,1,13,1,9,3,8,3,9,1,13,1,8,2,13,1,8,1,13,1,8,3,9,6,13,6,8,1,13,1,8,2,13,3,9,1,13,1,9,1,16,1,9,1,13,3,8,3,9,1,8,1,9,1,8,1,13,5,9,1,8,1,11,1,13,1,9,1,8,1,13,3,9,1,13,3,8,1,9,2,13,1,8,1,9,1,8,1,13,1,8,1,9,1,8,1,9,1,11,1,9,2,13,1,8,2,9,3,11,1,16,1,9,3,11,1,16,2,11,2,16,1,11,2,9,2,13,2,9,1,13,1,8,1,13,1,8,1,13,1,8,2,13,2,9,1,13,1,8,2,13,3,8,1,11,1,9,1,13,4,8,1,13,2,6,1,13,6,6,1,13,1,9,3,13,2,8,3,9,1,13,1,8,1,9,1,8,1,13,1,9,3,8,4,9,3,13,1,9,1,8,1,9,3,13,2,9,3,8,2,13,1,8,4,9,1,8,1,9,1,8,1,13,1,8,1,9,3,13,1,9,5,13,1,8,1,9,3,8,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,9,4,13,1,9,1,11,1,8,2,9,3,16,2,11,1,16,2,17,1,11,1,16,1,11,2,9,1,16,1,11,1,9,2,11,1,13,2,9,2,10,1,9,1,11,3,8,1,9,1,11,1,10,1,9,1,13,1,9,2,13,1,9,2,8,2,10,1,9,1,11,2,9,3,16,1,9,2,16,1,9,2,11,2,9,1,11,2,9,2,8,1,9,2,13,2,9,1,13,1,9,1,13,1,10,1,7,1,13,1,9,1,8,2,13,2,8,1,13,1,6,1,9,1,13,2,8,1,9,1,13,2,8,1,9,2,10,1,9,1,8,2,9,1,13,1,9,2,13,1,9,1,13,2,8,2,13,2,9,1,13,1,8,1,13,3,30,1,13,1,6,1,13,3,9,1,13,3,9,1,13,1,8,1,9,2,8,1,9,1,13,1,8,2,13,2,9,1,13,1,10,1,13,1,9,3,8,1,13,1,8,1,9,1,8,1,11,1,9,2,11,2,9,3,11,1,9,2,13,1,8,1,9,1,8,1,9,1,10,1,13,2,9,1,13,2,9,1,13,1,8,1,9,2,8,1,9,1,8,1,9,3,10,1,11,1,17,1,16,1,8,1,9,1,11,1,9,2,11,1,9,1,13,3,8,1,9,6,8,1,13,1,9,1,8,2,13,1,10,1,9,2,6,1,8,1,13,1,9,3,11,1,9,1,11,1,9,2,8,1,9,5,11,1,9,1,11,2,9,2,8,2,13,1,6,1,13,1,9,1,8,1,9,3,8,1,9,2,11,1,9,4,11,1,9,1,8,1,9,2,13,1,16,1,9,2,8,1,9,6,10,1,8,1,10,1,9,1,11,1,9,3,11,2,9,1,13,1,9,1,8,1,9,2,11,1,10,1,9,7,8,1,9,1,13,1,28,2,30,1,13,1,8,1,13,1,11,1,9,1,16,2,17,1,11,2,9,1,11,1,16,1,9,1,11,1,9,4,11,5,8,1,7,1,9,2,13,1,9,2,11,1,9,1,10,1,16,1,9,1,11,1,9,5,11,1,10,2,11,2,9,1,11,1,10,1,16,1,11,1,9,1,11,1,16,1,9,1,16,1,11,5,9,1,11,1,9,3,11,3,9,2,13,1,16,1,9,1,11,1,9,2,11,1,9,1,11,1,8,2,10,1,9,9,11,1,9,1,11,2,10,1,9,3,11,1,9,2,10,1,8,1,9,3,11,1,9,2,8,1,9,3,8,1,9,3,11,1,9,1,11,2,9,3,11,1,8,2,9,2,8,1,9,6,11,1,10,1,9,3,11,1,9,2,11,1,9,2,10,1,9,3,11,1,8,1,9,3,11,3,13,1,9,1,13,2,9,2,8,1,11,1,8,1,9,2,11,1,17,1,11,6,16,3,17,2,16,1,17,2,16,1,17,5,16,1,17,1,16,2,17,1,16,3,11,3,9,1,11,1,16,1,9,2,10,1,11,2,10,3,11,1,16,1,11,2,9,2,16,2,11,5,9,1,11,1,9,1,11,1,10,1,11,1,10,1,11,1,10,1,16,1,10,1,11,1,9,1,10,1,16,1,9,4,10,1,11,1,9,6,16,1,9,1,16,1,10,1,9,1,11,1,9,1,17,10,5,502,28,3,13,1,9,2,8,1,24,1,8,1,24,1,8,1,13,2,7,1,8,1,17,4,9,1,8,1,10,1,11,1,9,1,24,1,9,1,11,1,8,1,9,1,17,1,9,1,12,1,10,1,7,1,30,1,6,1,29,1,28,1,24,1,9,1,17,2,9,1,24,1,12,1,8,1,24,1,13,1,8,1,7,1,13,1,7,1,13,1,6,1,7,1,13,3,6,1,8,2,6,1,8,1,30,1,7,1,13,3,7,1,13,1,7,1,15,1,10,1,17,2,24,1,11,1,13,1,17,3,12,1,9,1,24,1,30,1,13,1,7,1,13,1,8,1,10,1,17,1,11,1,28,1,30,3,6,1,8,2,24,1,6,1,28,1,24,1,}, {28,1,30,1,13,1,8,3,17,2,9,1,29,2,30,1,28,1,13,1,6,1,7,1,10,1,12,1,10,1,9,1,7,1,6,1,8,2,7,1,14,2,6,1,29,1,28,6,29,1,13,1,24,1,13,1,8,1,13,1,28,1,13,3,29,1,8,1,6,3,29,1,6,1,30,1,13,1,6,2,7,1,28,1,13,1,7,1,8,1,7,1,8,1,9,3,11,3,12,1,17,2,16,1,10,1,24,1,9,1,13,1,8,2,11,1,17,1,12,1,17,1,13,1,6,1,13,1,8,2,13,2,8,1,9,1,17,2,8,3,13,1,9,1,12,1,14,2,12,1,14,1,9,2,24,1,13,1,11,1,14,1,17,2,14,1,15,1,17,2,12,1,17,3,12,1,10,1,24,1,11,1,12,1,15,1,9,1,24,1,8,1,24,1,8,1,7,1,9,1,13,1,8,5,6,1,13,1,8,1,13,2,24,1,15,1,16,1,12,1,17,2,14,1,17,1,24,1,8,1,6,1,13,1,7,1,8,1,9,1,12,1,10,1,11,1,9,1,13,1,24,1,13,1,8,1,13,1,7,1,8,1,9,2,17,1,11,1,9,1,17,1,14,1,8,1,6,1,28,2,30,1,28,2,30,5,28,1,6,1,17,60,10,1,16,1,17,1,16,1,17,1,11,1,16,1,9,1,17,4,16,1,13,1,28,1,30,3,28,8,6,1,17,2,16,1,17,5,16,3,11,2,9,3,11,1,16,3,11,1,16,4,17,1,16,2,17,1,16,3,11,1,16,6,11,1,16,3,11,1,16,9,17,3,16,5,11,1,9,5,16,1,9,1,11,1,16,2,13,1,9,2,11,2,9,4,11,1,9,8,8,1,13,2,9,1,13,1,9,7,13,2,6,1,30,1,6,5,13,1,6,3,13,1,6,1,28,1,6,1,30,1,13,2,6,1,13,1,6,1,13,1,9,2,11,1,13,3,9,5,16,1,11,1,16,5,11,1,16,1,11,1,16,1,11,1,16,4,11,2,16,2,9,1,16,1,9,2,6,2,13,2,30,4,6,1,13,12,28,1,6,1,28,1,6,1,11,1,9,1,30,1,28,2,6,2,13,1,6,1,13,1,9,3,11,1,9,1,13,1,6,1,30,1,28,1,30,1,28,1,30,1,28,3,13,1,6,1,13,2,9,2,16,1,9,2,13,1,9,1,13,1,9,1,13,1,6,1,13,3,9,1,11,1,9,1,11,1,9,1,13,1,9,2,13,1,9,2,13,1,11,1,17,1,16,2,11,1,9,1,13,3,6,1,13,1,16,1,11,1,16,3,17,8,16,1,10,1,9,1,13,1,9,1,8,1,13,1,8,2,13,1,8,1,13,4,8,1,9,1,8,1,11,1,10,1,9,1,17,1,11,1,17,1,16,1,17,1,12,1,17,6,16,2,11,1,16,4,11,1,12,1,16,1,17,1,16,1,17,1,12,1,16,1,9,1,10,2,9,1,17,1,11,1,10,1,11,1,17,1,11,1,17,6,16,2,11,1,16,3,11,1,17,1,11,2,9,1,16,2,11,1,10,1,9,1,16,2,11,1,16,2,17,1,16,1,11,1,16,5,11,1,16,4,11,1,16,1,17,1,11,1,16,1,17,1,16,4,17,1,16,4,11,2,9,1,11,1,16,1,17,1,11,2,9,1,16,3,10,1,16,5,11,2,16,1,11,1,16,1,9,1,11,1,16,2,11,1,16,2,11,2,10,1,16,1,11,2,16,1,10,1,11,1,16,1,9,1,11,2,16,1,9,1,11,1,16,2,11,1,16,1,11,1,16,3,11,2,16,3,11,4,17,2,16,2,17,1,16,4,17,1,16,5,17,1,16,5,17,2,16,4,11,1,9,1,13,6,9,2,11,1,10,1,11,1,16,2,17,1,16,8,11,1,16,4,11,1,16,2,11,1,16,1,11,2,16,1,11,1,16,1,11,1,17,1,11,1,16,3,11,1,16,3,17,1,16,3,17,2,16,8,11,1,16,1,11,1,16,1,11,1,16,4,11,1,16,4,17,1,16,1,11,3,8,1,6,2,13,1,28,1,6,1,28,2,13,1,9,9,11,1,16,2,11,1,16,1,11,1,9,3,13,1,9,3,11,3,10,1,9,2,11,1,9,1,16,1,11,1,10,1,11,1,16,1,11,4,17,1,16,4,17,2,11,3,16,1,9,1,16,1,11,1,9,1,11,4,9,2,13,1,11,3,9,1,10,1,11,2,9,1,11,1,16,1,9,1,11,1,16,3,11,1,17,1,11,1,9,2,11,2,16,3,11,1,9,2,11,1,9,3,8,2,10,1,8,1,9,1,8,1,9,1,8,1,11,1,9,1,13,1,9,2,8,1,9,2,13,1,9,1,8,2,9,1,13,1,9,1,13,1,8,1,9,2,13,3,7,1,13,4,7,1,13,4,9,1,13,1,7,1,8,1,7,1,8,1,13,2,8,1,9,1,13,1,9,1,16,1,9,2,13,1,9,10,13,1,9,2,8,2,11,1,9,4,10,1,8,1,9,1,13,1,9,2,13,2,9,1,13,2,8,1,13,1,9,1,8,1,13,1,9,3,13,1,9,2,8,1,13,1,9,1,8,2,9,1,13,1,8,2,9,1,8,1,13,1,8,1,13,1,11,1,16,1,13,1,9,1,13,1,8,2,13,1,9,3,8,1,13,2,7,1,13,4,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,13,3,9,1,13,2,9,1,8,2,13,1,8,2,9,3,8,1,9,1,8,1,16,1,9,2,8,1,9,1,13,1,8,2,16,1,9,1,11,1,16,1,11,2,16,2,11,2,9,2,11,1,9,1,13,6,8,3,13,1,8,2,13,3,8,1,9,1,8,2,9,2,8,1,9,2,8,3,13,1,9,1,13,1,7,1,13,1,8,1,13,5,8,2,13,5,8,1,9,1,11,1,8,1,13,1,9,1,8,1,13,2,9,1,8,2,13,2,9,1,8,1,9,2,8,3,9,2,13,1,8,2,10,1,9,1,8,1,13,1,9,1,8,1,9,2,13,1,9,2,13,1,8,1,9,3,13,2,9,1,8,2,13,4,8,2,9,1,8,1,13,2,9,1,13,2,8,1,13,1,9,4,13,1,8,1,9,2,8,1,13,1,9,1,8,1,9,2,10,1,17,4,16,1,11,1,10,1,9,1,8,1,10,1,8,1,9,1,8,1,9,2,8,1,9,4,10,1,16,1,9,1,13,1,9,7,11,1,16,1,10,1,13,1,8,1,9,1,13,1,8,1,9,2,11,1,9,2,16,1,11,1,9,1,11,2,9,1,11,1,13,1,9,1,13,1,9,1,13,1,9,4,13,1,11,1,8,1,9,1,11,1,13,1,9,2,13,1,8,2,6,1,13,1,8,1,13,2,9,1,8,1,13,3,9,1,13,1,9,2,8,1,13,1,9,1,8,1,9,2,8,1,9,1,8,1,9,1,13,1,8,2,9,2,13,1,9,1,13,2,9,2,13,10,8,1,13,5,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,3,9,1,13,1,11,1,13,1,8,2,13,1,9,1,13,1,11,1,9,2,8,1,13,1,9,3,13,1,8,1,9,2,11,1,8,1,13,1,9,1,13,1,9,1,8,1,13,1,8,2,9,1,13,1,9,1,8,2,13,5,9,2,16,1,9,1,10,1,16,1,17,1,16,1,13,1,11,1,16,1,9,3,13,4,9,2,8,1,13,1,9,1,13,4,8,1,13,1,8,1,13,5,6,1,13,1,16,2,9,1,11,3,9,1,11,1,9,2,11,1,9,1,11,1,17,1,9,3,11,1,9,1,11,1,13,2,9,4,8,1,11,1,8,1,9,1,8,1,9,1,13,2,8,1,9,1,13,1,9,2,8,1,13,1,9,1,10,1,9,4,13,1,11,2,8,1,11,1,9,4,10,1,13,1,9,2,11,1,9,6,8,1,11,1,13,1,9,4,11,1,9,1,13,1,9,2,8,1,30,2,29,1,13,1,10,1,11,1,16,1,11,1,9,1,11,2,8,1,9,1,11,1,9,1,11,1,9,5,10,1,9,7,17,1,9,1,6,1,13,2,9,4,11,1,10,1,9,2,11,1,9,1,11,1,16,1,11,3,16,1,11,4,9,1,16,2,11,1,16,3,10,1,16,1,11,3,10,1,11,3,9,1,16,1,11,3,9,1,8,1,11,1,9,1,11,1,9,4,13,2,9,4,11,1,9,5,8,1,9,1,13,1,9,4,8,1,9,1,11,1,9,3,16,1,13,1,9,2,8,1,9,10,13,1,9,1,8,1,9,4,8,1,9,3,10,1,9,1,8,1,9,1,13,1,9,5,8,1,9,2,11,1,9,6,10,1,13,1,9,5,10,1,11,1,10,1,9,2,11,1,10,1,8,1,9,1,8,2,9,2,8,2,9,2,13,1,8,2,11,1,9,2,16,2,11,1,9,4,10,1,16,2,17,2,16,2,17,2,16,1,17,1,16,2,17,1,11,1,16,4,11,4,16,1,11,1,10,1,9,1,16,1,11,1,9,1,16,1,11,1,16,1,11,1,9,1,16,1,9,1,11,2,9,1,16,2,11,1,16,1,11,1,16,3,11,1,16,2,11,1,9,2,11,3,10,1,11,1,9,6,10,1,9,1,11,1,9,1,13,1,9,1,8,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,2,11,1,16,2,9,1,11,1,16,17,5,6,33,5,5,474,28,1,13,1,6,1,13,1,8,2,9,1,8,4,7,1,13,1,6,1,8,1,17,4,10,1,11,1,8,1,24,1,11,1,24,1,9,2,8,1,9,1,10,1,17,2,9,1,6,2,29,1,6,1,29,1,13,1,10,1,17,2,8,2,12,1,13,1,8,2,7,1,13,1,28,1,6,1,8,1,13,1,8,2,28,1,8,1,13,2,8,1,6,1,7,1,6,2,13,1,6,1,7,1,8,1,13,1,8,1,9,1,17,1,12,1,24,1,7,1,13,1,8,1,12,1,17,1,12,1,17,1,12,1,9,1,7,1,29,1,7,2,9,1,24,1,17,1,24,1,30,1,28,2,6,1,28,1,13,1,9,1,6,2,13,1,6,1,}, {28,1,29,2,8,1,24,1,13,1,15,1,17,1,13,1,6,3,7,1,6,1,8,1,13,1,10,1,15,1,12,1,24,1,13,1,24,2,6,1,10,1,9,1,14,1,7,1,28,2,30,1,28,4,13,1,8,2,6,3,30,2,6,2,28,1,6,1,13,1,28,1,6,2,7,1,8,1,13,1,30,1,29,1,6,1,30,1,8,1,6,1,7,1,8,1,24,1,8,1,24,1,9,1,12,3,17,2,14,1,9,1,8,1,24,1,6,1,7,1,8,1,10,1,11,1,17,2,9,1,7,1,24,1,13,1,9,1,8,1,13,1,9,1,8,1,13,1,15,1,17,1,9,1,13,2,8,2,9,1,17,2,15,1,14,1,9,2,8,1,9,1,24,1,12,1,14,2,17,4,11,1,17,3,16,2,15,1,9,1,10,2,24,2,13,1,8,1,9,1,13,1,24,1,8,1,13,1,9,1,13,1,8,4,13,1,24,1,9,1,8,1,12,2,16,1,17,2,14,2,24,1,7,1,6,1,13,2,24,1,9,2,10,1,17,2,13,1,9,1,8,1,13,1,6,1,8,1,13,1,9,1,12,2,17,3,16,1,8,1,7,1,28,1,6,1,30,1,28,1,30,2,6,1,30,2,29,1,28,1,13,1,17,58,9,1,11,2,17,4,16,1,12,1,16,1,17,5,8,1,6,2,30,1,28,9,30,1,17,2,16,1,17,5,16,3,11,1,16,3,11,1,16,3,11,1,17,1,16,1,17,1,16,1,17,1,16,10,11,1,16,3,11,3,16,3,11,1,16,6,17,1,16,2,17,1,16,1,11,1,16,1,11,1,9,5,11,2,8,1,16,2,11,1,9,1,11,2,9,1,13,1,11,1,9,2,11,1,9,2,11,1,16,1,11,2,9,5,8,1,13,2,9,1,13,1,11,1,9,2,13,1,9,1,13,1,30,1,6,2,13,2,6,2,13,1,6,1,30,1,13,1,30,1,28,1,6,2,13,1,6,1,13,1,6,1,13,3,6,1,13,1,9,1,16,1,9,1,13,2,6,1,13,1,9,1,11,1,9,2,16,2,11,1,16,3,11,2,9,1,16,1,11,2,16,6,11,2,16,1,9,3,13,4,28,2,6,1,30,1,6,3,13,3,30,1,13,4,30,1,28,1,6,1,28,2,13,1,9,1,13,1,28,3,6,2,13,2,9,5,13,2,30,2,28,6,6,2,13,1,9,2,16,1,9,6,13,7,9,4,13,1,9,2,13,1,9,2,11,2,16,3,11,3,13,3,6,1,13,1,11,2,16,2,11,1,17,2,16,1,11,1,9,1,11,1,9,1,17,3,16,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,6,2,13,3,9,2,8,1,9,1,11,1,12,1,9,1,11,1,17,1,16,1,17,2,16,1,17,3,11,2,17,1,16,4,11,2,17,1,11,1,17,1,12,1,17,2,12,2,11,1,12,1,11,1,12,1,10,1,12,1,9,1,11,1,16,1,17,1,16,1,17,3,16,1,17,1,16,1,11,3,17,3,16,1,17,1,16,1,10,1,16,1,9,1,16,2,11,2,16,2,11,1,16,2,11,1,16,1,11,1,16,7,17,1,16,3,11,1,16,2,11,1,16,2,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,3,16,1,9,2,16,1,11,1,17,1,11,2,16,4,11,1,16,2,9,1,16,1,10,1,11,1,16,1,11,1,9,1,16,1,11,1,16,1,9,1,11,1,10,1,16,3,11,1,16,1,11,1,16,2,11,1,16,3,9,1,11,1,17,1,16,1,11,1,17,1,11,1,16,1,11,2,9,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,16,5,11,2,17,1,11,1,16,1,11,1,17,1,11,1,16,6,17,2,16,1,17,1,16,1,17,7,16,2,17,1,16,14,17,1,16,3,11,1,16,2,11,1,16,11,11,1,16,2,11,1,16,1,17,1,16,3,11,1,16,4,17,1,16,3,11,1,16,4,11,1,16,1,17,1,16,1,17,1,16,8,17,1,16,4,11,1,16,1,11,1,13,3,6,1,13,1,6,1,30,1,13,1,8,1,9,6,10,1,16,1,9,1,16,1,11,1,16,1,11,2,16,1,13,2,9,1,11,1,9,4,11,5,9,1,11,3,16,1,11,1,10,1,16,1,17,2,11,1,16,1,11,1,10,1,9,2,11,3,9,2,11,1,9,1,16,1,9,6,11,1,9,1,11,2,9,1,11,3,10,1,9,2,11,2,17,1,11,1,9,1,16,1,9,2,10,1,9,1,11,1,9,1,8,1,9,2,11,1,10,1,9,1,10,1,9,1,8,1,13,1,8,1,13,1,9,2,13,1,9,2,13,4,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,9,2,13,1,9,1,8,1,6,1,13,2,9,1,8,1,13,7,8,1,13,2,8,1,13,2,8,3,7,1,8,2,9,1,13,1,10,2,13,1,9,1,13,1,8,1,9,2,13,1,8,3,13,1,11,1,9,2,8,2,13,1,8,1,9,1,16,1,8,1,9,1,11,1,9,6,13,1,9,1,13,1,9,1,13,1,8,1,9,4,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,2,8,1,13,2,8,1,13,1,8,2,13,1,9,1,8,1,9,2,17,1,8,1,9,1,13,1,8,1,9,1,11,1,9,1,8,2,13,4,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,13,1,11,1,13,1,9,1,8,1,9,1,8,2,9,1,8,2,9,3,13,1,8,1,9,4,13,1,11,1,9,1,13,1,11,1,9,10,16,1,11,2,10,1,8,2,9,1,8,1,9,2,13,2,8,4,13,3,8,1,13,1,8,1,13,2,8,3,9,1,13,2,8,2,13,1,9,1,13,4,9,1,8,1,13,4,9,2,13,6,9,2,8,1,13,2,9,2,13,1,9,1,13,3,8,2,13,2,9,2,8,1,9,2,8,1,13,2,8,1,13,4,9,1,8,2,13,1,10,1,9,1,8,1,13,2,8,1,13,1,8,3,13,1,9,1,8,4,13,1,9,1,13,1,8,3,9,1,13,1,9,1,13,1,9,2,13,1,10,1,8,1,9,1,13,1,11,1,8,2,9,5,13,1,11,2,17,3,16,1,11,1,13,1,10,1,9,3,11,1,16,1,9,1,11,1,13,1,10,1,9,1,16,1,9,2,11,1,9,1,13,1,9,1,11,1,9,1,11,1,9,3,13,1,9,2,8,1,9,1,11,1,9,1,8,1,9,12,8,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,2,8,1,9,1,13,5,30,1,9,1,13,1,8,1,13,4,9,1,8,1,13,1,9,1,13,1,8,1,9,1,10,1,9,1,13,1,9,2,11,1,9,1,11,1,9,1,13,1,8,2,9,2,13,1,9,4,8,2,13,6,6,1,8,1,13,3,6,1,13,4,9,1,13,1,8,1,9,1,13,2,9,1,13,2,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,16,1,17,1,16,1,10,1,9,1,11,1,9,2,11,1,9,3,13,2,9,1,8,1,9,3,13,1,8,2,13,1,8,1,9,1,8,2,13,1,9,2,8,1,9,1,13,1,9,1,16,1,9,1,17,1,9,1,13,1,8,1,9,5,13,4,9,3,13,1,9,1,13,1,9,1,13,4,9,1,8,1,9,1,13,1,9,1,11,4,9,2,16,1,9,2,10,1,16,1,11,2,16,1,17,1,16,2,11,2,16,1,11,2,6,1,13,1,6,1,8,1,13,1,9,1,11,2,9,2,13,1,9,1,8,2,9,1,8,1,9,12,13,1,9,1,8,1,11,1,8,3,13,1,9,3,10,1,11,2,9,3,8,1,9,5,11,1,8,1,9,1,13,4,30,2,6,1,13,1,9,1,11,3,10,1,9,1,10,1,11,1,12,1,9,1,10,1,11,1,10,1,9,1,8,1,9,1,8,1,9,1,8,1,24,1,10,1,9,7,17,1,16,1,30,1,28,1,7,1,9,5,10,1,9,1,11,3,9,1,11,3,9,1,11,1,9,1,11,2,16,1,10,1,16,4,11,2,16,4,9,3,11,2,9,1,16,1,11,5,9,1,11,1,9,2,8,1,9,8,10,1,9,7,11,1,9,4,8,1,9,3,8,1,9,2,8,1,9,3,8,1,9,1,8,1,9,7,8,1,9,5,13,1,8,1,13,1,8,1,9,5,13,1,9,6,13,1,9,5,13,1,9,4,8,1,9,5,11,2,9,2,11,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,9,3,8,1,9,1,13,2,9,3,8,1,9,1,13,1,8,1,11,1,9,2,13,2,9,1,13,1,9,4,8,1,11,1,8,1,9,2,11,1,9,1,11,2,9,1,10,1,9,2,11,1,9,1,16,1,9,2,11,2,16,1,11,3,9,4,11,2,16,1,11,1,9,1,11,4,9,1,11,1,16,1,11,1,9,1,11,6,9,1,11,2,9,1,11,1,9,3,11,1,9,5,16,1,10,1,11,1,9,3,11,1,10,1,11,1,16,5,9,2,11,3,16,1,9,1,11,2,10,1,11,1,16,1,9,1,11,1,16,2,17,2,16,1,11,1,16,4,17,3,16,1,5,2,33,2,5,472,30,2,13,2,10,1,8,1,9,2,8,2,13,2,7,1,8,1,24,1,16,1,17,3,9,2,12,1,9,1,8,5,24,2,17,2,9,1,29,1,6,1,29,1,7,1,30,1,7,1,15,1,17,2,9,2,24,1,13,1,8,3,29,1,8,1,30,1,8,1,13,4,7,1,13,1,6,1,13,1,6,1,13,1,30,1,29,1,7,1,30,1,7,1,13,1,30,1,24,1,10,1,17,2,15,1,8,1,9,1,13,1,12,1,17,2,9,2,8,1,6,1,8,1,6,1,13,2,24,1,10,1,17,1,30,1,28,1,29,1,7,1,6,1,8,1,10,1,8,1,6,1,30,1,24,1,}, {29,1,30,1,7,1,13,1,8,2,12,1,17,1,13,1,6,2,30,1,6,1,29,2,30,1,9,1,17,1,10,1,8,3,7,1,6,1,8,1,12,1,14,1,29,1,30,1,28,4,30,1,28,1,6,1,8,2,24,1,6,4,30,2,6,1,13,1,6,1,28,1,6,1,30,1,7,1,30,1,6,1,13,1,30,2,13,1,7,1,13,1,7,1,24,1,13,1,24,1,9,1,17,1,11,1,17,4,14,1,15,1,13,1,24,1,13,1,8,2,7,1,10,1,9,1,17,1,10,1,13,1,8,1,6,1,8,2,9,1,8,3,16,1,17,1,10,1,9,1,13,1,8,2,24,1,17,2,10,1,9,1,10,1,9,1,8,1,9,1,8,1,15,1,14,1,17,1,14,1,17,1,16,1,17,5,16,1,10,1,12,1,15,1,10,2,9,1,10,1,13,1,24,1,10,1,7,1,24,1,9,1,13,1,24,1,8,1,13,1,9,1,13,2,11,1,9,1,10,1,9,1,17,1,16,1,12,1,17,2,14,2,24,1,14,1,13,1,8,1,13,2,9,2,12,1,11,1,10,1,8,1,9,1,13,1,8,3,13,1,12,1,10,1,12,1,17,1,12,1,16,2,8,1,6,2,30,1,29,1,30,3,29,2,30,2,28,1,13,1,17,58,11,1,16,1,12,1,17,1,16,3,9,2,12,1,17,5,13,1,29,1,28,2,30,1,28,8,13,1,17,3,16,1,17,1,16,1,17,3,16,3,11,1,16,4,11,2,16,6,17,4,16,6,11,1,16,1,11,1,9,1,16,4,11,1,9,1,16,2,17,1,16,8,17,1,11,2,9,1,13,1,9,3,11,2,9,1,16,2,9,1,11,2,16,1,9,3,13,1,11,1,9,5,11,1,9,2,11,1,9,1,11,1,9,1,13,1,9,1,13,1,9,1,13,1,9,4,13,1,9,1,13,2,6,1,30,1,6,2,29,1,13,1,6,2,13,1,30,1,13,3,30,1,6,2,30,1,13,5,9,3,13,4,9,1,11,1,9,1,11,2,16,1,11,3,9,1,11,3,9,1,11,2,9,1,16,5,11,1,16,4,11,2,13,2,28,1,6,2,30,2,13,1,30,1,6,2,13,8,30,1,6,1,28,2,30,1,9,2,30,1,28,2,30,1,7,1,13,1,9,3,11,1,9,2,13,1,28,9,6,1,13,3,11,2,10,1,9,5,13,4,9,1,13,2,9,4,11,1,13,3,9,5,16,5,11,1,13,4,6,1,9,2,11,1,16,1,11,2,9,1,11,1,9,4,11,1,17,4,16,1,11,2,9,2,11,1,9,1,8,2,13,1,7,1,13,2,30,1,9,1,8,2,9,2,10,1,17,1,16,2,10,1,12,1,17,6,16,2,11,3,17,1,9,1,16,1,12,1,17,2,12,1,17,2,12,1,11,3,17,1,10,1,11,2,16,1,17,2,11,1,17,5,16,1,11,1,16,1,17,6,16,1,11,1,16,2,11,2,16,2,11,5,16,7,11,1,16,1,11,1,16,2,17,1,16,1,11,5,16,1,17,1,11,3,16,1,11,1,16,1,9,1,16,2,9,1,16,2,9,1,11,1,9,1,11,1,16,3,11,1,16,1,10,1,16,1,11,2,16,1,9,2,10,1,11,2,9,1,11,4,16,1,11,1,10,1,11,5,16,2,11,1,10,1,16,2,11,1,16,1,11,1,9,1,11,2,9,1,11,2,16,1,11,1,16,1,11,1,16,2,11,1,17,1,16,4,11,1,16,4,11,2,16,2,17,1,16,2,17,1,16,3,17,1,16,3,17,3,16,8,17,1,16,3,17,1,16,1,17,1,16,3,11,1,16,1,17,1,16,2,17,1,16,11,11,2,16,3,11,1,9,1,16,2,11,1,16,1,11,2,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,4,17,1,11,2,16,1,11,1,16,2,17,1,16,6,17,2,16,1,17,1,16,2,11,1,16,2,11,3,9,1,11,1,9,1,13,1,6,1,13,1,6,2,30,1,7,1,9,3,11,1,16,2,17,2,10,1,11,3,16,1,9,1,11,1,9,1,11,3,10,1,11,1,10,1,11,2,16,1,11,1,9,1,16,3,17,1,11,1,16,1,11,1,16,1,11,2,16,2,11,1,16,2,11,1,13,1,11,1,10,1,9,1,11,1,16,1,11,1,9,1,8,1,9,4,16,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,11,1,16,1,11,3,9,3,13,1,11,1,10,1,9,2,8,1,9,2,8,2,13,1,8,1,9,1,8,2,9,1,13,2,9,1,13,2,9,1,13,1,9,2,13,4,9,4,13,1,9,1,13,1,8,1,13,1,9,2,13,1,8,1,13,3,9,2,13,2,9,2,8,1,13,1,9,1,13,1,8,1,13,2,9,1,8,3,9,1,13,1,8,1,9,5,13,1,8,3,9,2,8,1,13,2,9,1,13,1,9,1,13,1,9,2,8,1,9,4,13,1,9,2,13,1,8,2,9,1,13,1,9,1,13,3,8,1,13,2,9,2,13,1,9,1,13,2,8,2,13,1,9,3,13,1,8,1,13,1,9,1,8,2,9,2,11,1,9,1,17,1,9,2,13,1,8,1,13,1,8,2,9,2,8,1,13,3,9,1,8,2,9,2,13,2,8,2,9,6,8,1,11,1,9,4,8,1,9,1,10,1,9,1,8,1,13,1,9,2,8,2,9,1,8,2,9,2,13,1,8,2,9,2,8,1,11,1,16,1,9,1,11,2,9,1,13,1,8,1,9,1,8,1,9,2,13,1,9,1,8,1,13,1,9,1,8,2,7,1,9,1,13,1,9,5,8,2,9,1,13,1,8,1,13,2,9,2,13,2,8,1,9,1,13,1,9,1,13,3,9,1,8,1,9,2,13,1,9,1,8,1,9,1,13,2,9,1,13,2,9,1,13,2,8,1,13,1,11,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,8,2,13,2,9,1,8,1,13,1,9,2,13,1,9,4,8,1,9,1,13,1,8,1,13,2,8,1,9,1,13,1,9,1,13,2,8,2,13,1,8,1,9,1,13,1,11,1,13,1,8,2,13,1,9,1,13,2,8,1,9,8,13,1,10,1,9,1,8,1,10,1,9,1,16,1,11,1,17,1,11,1,16,1,9,1,10,1,9,7,8,1,9,2,11,1,8,1,11,1,13,1,10,1,9,1,8,1,9,1,11,2,9,6,8,1,9,1,8,1,9,4,11,1,9,8,8,1,9,2,8,1,9,6,11,1,13,1,9,1,8,2,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,5,8,2,13,3,9,3,8,1,9,2,8,1,9,2,11,1,8,1,9,6,13,1,8,1,9,4,13,2,8,1,13,4,6,1,13,3,9,1,13,2,9,1,13,2,8,1,9,2,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,6,8,1,13,1,9,1,13,1,9,4,13,1,9,1,11,1,9,1,11,1,10,1,8,1,11,1,8,4,9,1,13,1,9,6,13,1,8,1,13,2,9,2,13,1,9,2,11,1,9,1,8,1,16,1,9,1,16,1,10,1,6,1,9,1,10,1,9,1,13,1,8,2,9,1,13,1,9,4,13,3,8,2,13,2,8,1,13,1,9,2,13,1,9,1,11,1,9,2,16,3,9,1,16,1,8,1,11,1,10,1,9,1,11,1,13,1,9,4,16,1,13,1,10,1,16,2,9,2,13,1,8,1,13,1,10,1,11,1,9,1,11,1,10,1,9,1,13,2,9,1,13,1,9,3,13,2,11,1,9,2,13,1,9,2,8,1,9,4,8,1,9,1,13,1,8,3,11,1,8,1,9,1,8,1,9,1,13,1,9,1,11,1,9,6,11,1,9,1,8,2,9,1,13,1,30,1,28,1,13,1,11,1,9,1,11,2,9,1,10,1,12,1,10,3,9,1,10,1,9,1,10,3,9,1,8,1,13,1,9,1,8,1,13,4,8,2,9,2,10,1,9,1,10,1,16,1,13,1,28,1,8,1,9,1,8,1,9,3,11,1,9,1,11,1,9,4,11,2,9,1,13,1,11,1,16,1,11,1,16,1,11,1,16,1,10,1,16,4,10,1,16,1,9,1,16,2,9,1,11,2,9,3,10,1,9,1,11,1,9,1,16,1,9,1,11,3,9,2,13,1,9,7,10,2,11,1,9,1,11,1,8,1,16,1,13,1,9,1,11,1,9,6,8,1,9,1,13,2,10,1,9,1,13,1,9,2,8,1,9,2,10,1,8,1,9,8,8,1,9,3,13,1,9,1,13,1,8,1,9,5,13,1,8,2,11,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,8,1,9,1,13,1,9,1,13,1,9,1,11,2,9,3,8,1,13,1,9,5,13,2,9,1,8,2,9,1,11,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,13,7,8,2,7,1,13,1,9,1,13,2,7,1,13,1,6,3,13,4,9,1,13,2,8,1,9,1,8,1,9,5,11,2,10,1,11,3,16,1,11,1,16,1,9,2,11,1,16,1,11,3,10,1,16,1,10,1,9,1,11,3,9,1,16,1,9,3,10,1,9,1,11,1,9,1,11,2,9,3,11,3,16,1,11,1,17,1,16,2,11,1,16,1,11,3,16,5,9,1,16,3,9,1,11,1,10,1,9,3,11,3,16,2,11,2,16,1,11,1,16,1,11,1,16,4,17,1,16,1,17,5,16,1,9,1,5,6,33,2,5,459,28,1,13,2,8,1,10,1,9,3,24,1,9,1,8,1,7,2,24,1,15,1,17,4,9,1,8,1,9,1,8,1,9,2,11,1,24,1,9,1,8,1,9,1,16,1,17,1,11,1,6,1,7,1,28,1,6,1,13,2,9,1,17,2,9,1,8,1,9,1,7,1,8,1,6,1,13,1,30,1,8,1,7,1,8,1,13,2,28,1,6,1,13,1,7,1,13,2,6,1,13,1,6,1,9,1,13,2,7,2,6,2,8,1,17,2,9,3,8,1,12,1,17,3,10,1,8,1,6,1,7,1,8,1,6,1,9,1,13,1,10,1,8,1,30,1,28,3,6,1,8,1,17,1,24,1,29,1,6,1,8,1,}, {28,1,6,1,29,1,13,1,24,1,13,1,12,1,17,1,12,1,28,1,30,1,7,2,29,1,7,1,29,1,17,1,12,1,10,1,13,1,7,1,8,4,12,1,17,1,8,1,29,1,30,1,29,1,30,2,6,1,30,1,6,1,9,1,12,1,24,1,13,2,30,1,24,1,29,1,13,1,29,1,7,1,13,1,30,2,28,1,30,1,6,1,29,1,30,1,6,2,7,1,6,1,8,3,7,1,9,1,10,1,17,2,11,1,17,1,16,1,14,2,15,1,13,1,6,2,8,1,13,1,8,1,17,1,11,1,17,1,9,1,8,1,24,1,13,2,8,1,9,1,8,3,12,1,17,2,9,1,24,1,13,1,24,2,17,1,15,1,9,1,12,1,15,1,24,1,10,2,9,1,15,2,17,10,12,1,24,1,10,1,11,1,14,1,9,2,13,1,8,1,9,1,8,1,9,1,12,1,24,1,8,5,6,2,9,2,15,1,9,1,10,1,17,4,14,1,11,1,9,1,8,1,24,1,9,1,13,1,9,1,11,1,12,1,16,1,17,1,9,1,24,1,9,1,8,1,13,2,24,1,17,2,9,1,17,1,12,1,17,1,16,1,24,1,6,1,7,1,30,1,29,1,30,1,28,1,29,1,30,1,28,1,29,1,6,3,17,58,9,1,17,1,8,1,12,3,16,1,9,2,16,1,17,4,16,1,6,1,7,1,30,1,28,1,6,1,30,2,28,6,30,1,17,9,16,1,17,1,16,4,11,1,16,3,11,1,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,6,11,1,9,1,16,1,9,1,16,1,11,3,16,5,17,1,16,7,11,4,9,1,13,1,11,2,9,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,9,2,13,1,8,1,9,1,13,1,9,1,11,1,9,1,16,1,11,1,9,2,11,1,9,2,11,2,13,2,9,1,13,1,9,2,11,1,9,4,13,2,6,2,29,1,30,1,13,1,29,1,13,2,30,1,6,1,30,1,13,1,6,4,13,1,6,1,13,1,7,1,13,1,6,1,11,2,9,1,13,3,9,2,11,2,16,4,11,1,9,3,11,2,9,4,16,4,11,1,9,1,16,4,11,1,9,1,13,3,30,2,6,1,28,1,30,1,13,2,30,1,13,1,30,1,13,2,6,1,13,2,6,1,30,2,28,2,13,3,6,1,28,1,30,1,13,2,9,3,11,1,9,1,13,1,6,1,28,9,13,3,9,1,13,1,9,1,11,1,9,1,11,1,13,1,9,2,13,2,6,1,13,5,9,2,11,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,11,2,16,4,11,2,13,4,9,1,11,1,9,1,16,1,9,2,13,1,9,1,13,2,9,1,13,1,9,1,16,1,17,10,9,2,6,1,13,1,28,1,6,2,13,1,6,1,8,1,13,1,8,1,12,1,11,1,9,2,11,1,17,2,12,1,11,1,17,1,16,1,12,1,17,3,12,1,11,1,9,2,16,2,10,1,9,1,17,1,9,1,17,1,16,1,9,1,12,1,10,1,17,1,11,1,10,1,12,1,17,2,11,1,12,1,16,1,17,1,11,1,17,4,16,1,17,3,16,1,17,3,16,3,11,1,16,2,11,2,16,7,17,2,16,5,17,1,11,2,16,1,11,1,16,2,9,1,11,2,16,4,11,2,16,1,11,1,9,1,16,2,11,1,16,1,9,1,11,2,16,1,9,1,11,1,16,1,9,1,16,2,11,2,9,1,16,2,11,1,16,2,11,1,9,1,11,1,9,1,16,1,11,2,16,1,11,1,17,1,9,1,11,1,16,1,11,1,16,1,9,1,17,1,9,1,10,1,16,3,11,1,16,2,9,1,16,1,11,3,10,1,11,1,16,6,17,1,10,1,17,1,11,1,9,1,16,2,9,1,11,1,17,1,16,1,11,1,16,1,11,1,16,1,17,2,16,1,17,2,16,1,17,3,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,5,17,1,16,4,17,1,16,11,11,1,16,2,11,1,16,3,11,1,16,3,17,1,16,5,17,2,16,2,17,1,16,4,17,2,16,1,11,1,16,3,11,1,16,2,17,1,16,2,17,1,16,2,11,1,16,3,11,1,17,1,16,6,11,1,16,1,11,1,9,1,10,1,8,2,13,1,9,2,16,5,9,1,11,2,16,2,11,1,9,1,10,1,9,4,11,2,16,3,11,1,17,1,9,1,11,2,16,1,9,2,11,1,9,3,11,1,9,1,17,1,16,1,11,2,9,1,11,2,16,1,9,1,10,1,16,1,11,1,10,2,11,2,16,1,9,1,16,1,11,1,16,1,9,1,11,1,16,1,9,3,13,2,8,1,9,1,8,1,13,2,9,2,8,2,9,2,13,1,8,1,13,1,9,2,13,3,8,1,9,1,8,1,9,1,13,3,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,13,2,11,1,13,2,9,2,13,1,9,1,13,1,8,2,9,2,13,1,9,2,13,1,9,1,8,3,9,2,8,1,9,1,8,1,9,3,8,1,9,1,13,1,9,2,13,1,8,1,13,1,8,1,13,1,8,1,9,2,8,4,9,2,11,1,9,3,11,1,13,1,10,1,13,1,9,1,11,1,10,1,13,1,9,2,8,2,13,1,9,1,13,2,9,2,13,2,9,1,13,1,8,1,9,2,13,1,8,1,9,1,8,2,13,1,8,1,9,1,13,2,8,1,9,1,8,1,9,2,8,1,9,2,16,1,11,1,8,1,13,1,8,1,13,3,9,1,8,1,13,1,8,1,13,1,6,1,9,2,13,1,9,3,8,1,13,2,9,2,13,1,9,4,11,1,8,1,9,1,10,1,8,1,9,2,8,1,9,2,8,2,13,1,9,2,13,1,9,1,13,1,8,1,9,2,8,1,13,1,9,1,13,1,9,1,8,1,9,6,10,1,9,1,10,1,9,1,13,1,9,1,13,2,9,1,8,2,13,1,8,1,9,1,13,2,9,1,8,2,9,7,7,1,13,2,9,2,8,3,9,1,13,1,9,1,13,1,9,1,8,1,9,2,8,1,13,2,8,1,9,1,13,6,8,1,13,1,9,2,8,1,13,2,8,1,9,2,8,1,13,1,9,4,8,4,13,1,8,1,13,3,9,2,8,1,9,2,13,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,2,7,1,9,1,13,1,9,1,8,1,9,1,13,6,9,3,13,3,9,5,11,1,13,1,11,1,9,2,16,2,17,1,16,2,10,1,8,1,9,5,8,1,9,3,16,1,9,3,10,1,9,1,8,1,9,2,16,1,9,4,11,2,9,2,16,1,9,1,11,1,9,5,13,1,9,1,11,2,8,1,9,1,8,1,13,1,9,4,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,13,2,9,1,13,1,8,1,6,1,13,1,8,1,9,1,13,1,8,2,9,1,11,1,16,1,8,1,13,2,9,1,8,1,9,1,8,1,9,1,11,1,7,1,9,2,11,1,13,1,9,1,8,1,9,5,13,1,8,1,13,4,9,1,13,2,9,1,13,1,8,1,9,4,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,2,8,2,13,4,9,1,8,2,9,2,13,1,9,1,10,1,11,1,9,1,16,1,9,1,13,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,2,13,1,8,1,9,2,8,2,13,1,9,1,8,1,9,2,8,1,9,2,16,1,8,1,17,1,11,1,9,5,8,1,13,4,8,1,9,1,13,1,8,1,7,1,8,1,13,6,9,1,13,2,8,1,9,1,8,1,11,1,10,1,17,2,11,1,8,1,17,1,8,1,13,1,9,2,8,1,11,1,9,1,16,1,11,1,16,1,11,1,9,1,11,1,9,1,13,1,10,1,13,1,9,4,16,1,9,1,11,1,9,3,8,1,9,10,11,1,8,1,9,1,16,1,13,2,9,1,8,1,9,2,13,1,9,1,8,1,9,4,11,1,8,2,9,1,16,1,9,1,11,1,9,2,13,3,6,1,28,1,6,1,30,1,8,1,9,2,16,1,10,1,11,1,9,1,10,1,11,1,9,1,10,2,11,1,9,1,11,1,9,5,8,3,9,1,24,2,8,1,13,2,9,1,8,1,9,3,11,2,17,1,6,2,7,1,9,2,10,1,11,1,9,2,11,1,9,2,11,1,9,5,16,1,9,1,11,1,10,1,16,1,10,1,16,2,11,1,16,1,11,1,10,1,11,1,9,1,16,1,9,1,16,1,11,3,9,2,11,1,10,1,9,2,11,1,9,1,11,1,9,2,11,1,9,6,11,1,9,2,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,7,11,1,9,1,8,1,9,1,13,1,9,2,10,1,9,5,13,1,9,2,8,1,9,2,8,1,9,3,13,1,9,1,13,1,9,2,11,1,9,1,13,1,9,4,8,1,9,2,8,1,9,3,8,1,13,1,9,1,8,2,13,2,8,1,13,3,9,6,13,2,9,7,13,1,9,1,13,1,11,1,8,1,13,2,9,3,13,2,16,1,9,1,13,1,9,1,13,9,6,1,13,13,6,1,13,6,9,3,8,2,9,1,11,3,16,1,11,3,17,2,11,2,16,2,11,1,16,2,11,1,10,1,11,3,9,1,8,1,10,1,9,1,11,1,9,3,8,1,11,1,9,1,11,1,9,1,11,4,16,2,11,1,16,6,11,2,16,6,11,1,16,2,11,1,16,1,11,2,16,2,11,1,16,1,11,1,16,1,10,1,16,1,11,2,9,1,11,2,9,1,16,1,10,1,11,1,17,2,9,1,11,1,16,1,9,3,16,1,17,5,16,1,5,457,28,1,6,1,30,1,8,1,9,1,11,1,9,2,8,1,9,1,13,1,8,1,29,1,7,1,9,1,14,1,17,3,24,2,13,1,15,1,9,2,15,1,9,1,24,2,12,1,17,2,11,1,29,1,13,2,7,1,13,2,17,3,9,1,6,1,10,1,7,1,8,1,6,2,24,1,13,1,29,1,13,1,8,1,7,1,6,1,13,1,9,1,7,3,8,1,6,1,13,1,6,1,13,1,8,1,13,3,7,1,10,1,17,2,8,1,9,1,10,1,8,1,12,1,17,1,12,2,9,1,13,1,8,1,6,2,8,1,24,1,12,2,24,1,28,3,29,1,13,1,8,1,24,1,7,1,6,1,13,1,8,1,}, {6,2,8,4,12,1,17,1,9,1,6,1,7,1,29,1,6,1,29,1,13,2,24,1,12,2,8,1,13,1,8,1,6,1,8,2,9,1,17,1,9,1,13,1,28,1,6,1,8,1,7,1,13,2,8,1,9,1,10,1,13,2,6,2,7,1,29,2,6,1,13,2,29,1,6,1,30,1,6,2,28,1,6,1,29,1,6,1,7,1,6,3,13,1,24,1,13,1,10,4,17,1,12,1,15,1,14,1,9,1,24,1,13,1,6,1,7,1,13,1,12,1,9,1,17,2,24,1,9,1,29,1,13,1,9,2,10,1,8,2,9,1,12,1,17,2,9,1,6,1,9,1,8,1,12,1,15,1,12,5,8,1,15,1,24,1,9,1,17,6,16,1,17,4,10,2,9,2,10,1,24,1,8,1,9,1,24,1,13,1,24,1,8,1,13,1,6,1,8,2,13,1,9,1,13,3,24,1,8,1,10,1,24,1,11,1,12,1,16,1,17,2,14,1,15,1,9,1,6,1,13,1,8,1,9,1,8,1,11,1,10,1,12,1,17,1,10,1,13,1,9,1,13,1,8,1,13,1,11,1,12,1,9,1,24,1,11,1,17,3,9,1,13,1,30,1,28,1,29,1,30,1,6,3,29,1,7,1,6,3,17,54,16,1,11,1,12,1,8,1,11,1,9,1,8,1,9,1,12,1,16,1,11,1,17,1,9,1,24,1,16,1,17,4,6,2,30,1,29,1,28,9,6,1,17,14,16,6,17,2,16,3,17,1,16,1,11,3,16,2,11,2,16,1,11,2,9,1,11,2,9,4,16,7,17,1,16,2,11,1,16,3,9,1,16,2,9,2,11,1,9,1,16,1,9,1,16,1,9,1,16,1,9,1,11,1,9,2,13,1,9,4,11,3,16,1,9,7,11,1,9,3,13,1,9,1,11,1,9,1,13,1,9,1,13,1,6,1,13,1,28,1,6,2,13,1,6,4,13,3,6,1,30,1,13,3,30,1,6,1,13,1,6,1,13,1,9,3,16,1,9,1,11,1,9,2,11,1,16,3,11,5,9,1,13,1,9,2,8,1,11,1,9,2,16,4,11,1,16,5,11,1,9,1,13,2,30,2,28,3,6,2,13,5,6,1,13,1,30,1,13,1,28,5,11,1,13,1,28,3,30,1,28,1,13,1,9,3,13,2,28,1,30,1,28,6,30,2,13,2,9,5,13,1,9,3,13,2,6,1,13,1,6,1,13,6,9,1,11,1,9,1,13,1,9,3,13,1,9,1,11,1,9,2,16,5,9,3,13,4,9,5,13,3,9,4,11,1,16,1,17,8,11,1,13,1,8,1,6,1,30,1,29,1,30,1,6,1,13,1,30,1,6,1,13,1,11,1,8,1,10,1,9,3,17,2,11,1,17,1,10,1,17,1,11,1,17,1,11,1,16,1,11,1,9,2,17,1,9,3,16,2,11,1,16,1,9,1,11,1,17,1,12,1,17,2,11,1,16,1,9,1,17,1,11,1,17,3,16,1,17,6,16,1,17,6,16,3,9,1,16,3,11,2,16,3,17,1,16,2,11,1,16,2,11,1,16,5,11,1,9,1,16,2,9,1,16,5,17,1,16,1,9,1,16,2,11,2,16,1,11,1,16,1,11,1,9,1,16,2,11,1,16,1,9,3,11,1,16,2,11,1,9,1,11,1,16,2,11,1,16,1,17,1,11,1,16,3,11,1,16,1,11,1,9,1,16,1,11,1,16,2,11,1,16,1,9,1,16,1,9,1,11,1,16,3,11,1,9,1,16,1,11,1,9,1,11,3,16,1,10,1,16,1,11,1,16,1,11,2,16,3,11,1,16,1,9,1,16,1,11,5,16,2,11,1,16,1,11,3,16,3,17,1,16,3,17,2,16,1,17,3,16,1,17,1,16,2,17,1,16,1,17,3,16,5,17,2,16,3,17,2,16,6,17,1,16,2,11,1,16,3,11,1,16,3,11,3,16,3,17,1,16,1,17,1,16,6,11,1,16,4,17,1,16,3,11,1,16,3,17,1,16,5,11,1,16,2,17,1,16,9,11,1,16,2,11,2,9,1,17,1,11,1,13,1,7,1,9,1,8,1,10,1,16,1,11,2,9,1,10,1,11,3,10,1,11,3,9,3,11,2,16,1,9,2,11,1,10,1,11,2,9,5,11,1,9,1,11,1,9,1,16,2,11,1,17,1,11,1,9,1,17,1,11,1,9,2,10,1,17,1,9,1,16,1,11,1,8,1,9,2,11,1,9,1,8,1,11,2,16,1,11,1,9,1,13,1,9,2,13,1,8,1,13,1,9,1,13,2,9,1,13,2,9,1,8,1,13,1,9,1,8,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,2,8,1,9,1,11,1,9,1,8,1,13,3,9,1,11,1,10,1,13,1,8,1,9,1,13,1,9,1,8,1,13,2,9,1,8,1,9,2,8,1,13,1,8,1,13,1,9,1,8,2,9,1,8,3,9,1,8,1,9,3,13,1,8,2,13,2,9,8,8,1,13,1,9,1,8,1,11,1,8,1,9,4,13,1,9,1,8,1,9,3,13,2,8,1,13,1,8,2,13,1,8,1,13,1,9,2,13,2,9,1,13,3,8,2,13,1,9,2,8,1,9,1,13,1,9,1,13,2,9,5,16,2,17,1,8,1,11,1,13,1,9,2,11,1,13,1,9,1,13,3,9,1,13,2,9,1,8,1,13,2,9,1,13,1,8,2,9,1,11,2,10,1,9,1,10,1,9,3,13,1,9,5,13,1,9,3,8,1,9,2,13,1,9,1,13,3,9,2,13,1,9,1,13,1,9,1,13,2,8,1,9,1,13,1,9,2,8,2,9,2,8,1,9,2,11,1,13,1,9,1,13,1,8,2,13,1,8,1,13,1,9,2,13,1,9,1,10,1,9,1,13,2,9,4,8,1,9,1,13,1,8,1,13,1,8,4,13,2,8,4,13,1,9,1,13,3,9,1,8,1,13,1,11,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,7,1,13,1,9,1,13,2,8,1,9,1,13,2,9,1,8,1,9,1,8,2,13,1,9,1,8,1,13,1,9,1,13,2,8,1,13,1,9,3,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,2,8,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,13,1,8,1,13,1,9,1,13,2,8,1,13,2,9,1,8,1,9,6,13,1,11,1,9,1,11,2,16,1,11,3,17,1,9,3,10,1,9,1,11,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,1,8,1,17,1,9,2,10,1,16,2,9,3,11,1,9,1,11,1,9,2,11,1,10,2,13,1,9,4,8,3,13,1,9,2,8,1,9,1,11,1,9,1,8,1,11,1,9,3,13,3,8,1,13,2,8,1,13,2,8,1,9,2,13,1,6,1,13,6,9,1,11,1,10,1,9,2,8,1,10,1,9,2,11,2,9,4,8,1,9,1,10,1,9,4,10,1,9,4,13,1,9,2,13,2,8,1,9,1,13,3,9,1,8,1,13,1,8,2,9,1,8,1,9,2,8,1,13,1,8,2,9,1,8,1,13,1,8,1,9,1,13,5,8,1,9,1,13,1,11,1,9,3,8,1,9,1,11,1,10,1,9,1,10,1,13,1,9,3,11,1,10,1,9,1,13,5,8,1,13,5,9,2,8,1,9,3,16,1,8,1,16,1,13,1,16,2,10,1,9,1,10,1,8,4,13,1,8,1,13,1,8,2,9,1,13,1,8,1,13,3,8,1,13,3,8,2,13,1,9,2,16,1,17,1,11,1,16,2,11,1,9,1,16,1,8,1,9,1,10,1,11,1,9,1,8,1,9,4,16,1,9,1,17,1,11,1,9,1,16,1,9,7,16,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,11,1,13,1,8,2,9,4,8,1,9,3,8,1,11,1,9,3,11,1,9,5,13,1,8,1,9,1,7,1,6,1,13,1,6,1,8,1,16,1,11,1,16,1,11,1,10,1,11,2,9,1,12,1,24,1,9,1,10,1,11,1,24,1,9,1,24,1,9,4,8,2,9,1,8,5,13,1,9,1,13,1,9,1,8,1,9,3,17,1,16,1,8,1,28,1,30,1,13,1,9,2,11,1,9,1,11,1,9,2,11,2,9,1,11,3,16,1,9,1,17,1,10,1,16,2,11,1,16,3,11,1,16,3,9,1,16,1,11,1,9,1,16,1,11,1,8,1,9,2,10,1,16,1,9,1,11,2,16,1,9,1,11,1,9,1,13,1,9,2,8,1,9,2,8,1,9,2,11,1,9,4,10,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,10,1,9,2,8,1,9,1,13,1,11,1,9,3,8,1,9,3,8,2,9,4,8,1,9,2,13,1,9,2,16,1,8,2,9,5,11,1,9,3,8,2,13,1,11,1,9,3,8,2,9,2,13,1,9,1,8,1,9,1,13,1,8,1,13,2,11,1,8,1,9,1,13,1,9,4,13,2,9,1,8,1,9,1,13,1,9,2,8,1,16,1,8,1,9,1,13,2,9,3,13,1,11,1,16,1,9,2,11,1,9,2,11,1,9,2,13,2,8,1,13,1,8,1,13,1,8,1,13,2,9,1,13,25,9,1,13,1,9,1,8,1,13,1,8,1,13,1,9,2,11,1,16,1,9,1,16,3,11,1,16,1,11,3,9,1,11,3,10,2,11,1,9,1,11,2,16,1,11,3,9,2,10,1,11,2,9,1,11,2,16,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,5,17,1,16,2,11,1,17,1,16,5,17,1,16,2,11,2,9,3,11,2,9,2,11,1,9,1,10,1,9,2,11,2,9,1,11,2,9,1,16,2,17,1,16,2,17,1,16,1,17,1,5,10,33,1,5,439,28,1,30,1,7,1,8,1,9,3,24,1,8,2,13,4,9,1,14,1,16,1,17,2,8,1,12,1,8,2,24,2,10,1,9,3,17,1,12,1,17,2,13,1,28,1,30,1,29,1,6,1,24,1,9,1,17,1,10,1,9,1,10,1,8,1,13,1,8,1,7,1,13,1,6,1,13,1,30,1,6,2,8,2,7,1,13,1,30,1,6,1,30,1,6,1,13,3,24,1,7,2,13,1,6,1,8,1,15,1,14,1,17,1,9,1,13,1,9,2,12,1,17,2,9,1,17,1,6,1,8,1,6,1,29,1,13,2,12,1,17,1,24,1,6,1,30,2,29,1,6,1,13,1,12,1,6,1,7,2,6,1,}, {30,1,6,1,7,1,13,1,24,1,13,1,11,1,17,1,10,1,13,1,6,4,30,1,7,1,8,1,17,1,11,1,9,1,8,1,29,1,6,1,8,1,13,1,17,2,8,2,13,1,29,1,13,1,6,1,7,1,6,2,9,1,8,1,9,1,6,1,8,1,6,5,29,1,13,1,6,1,7,1,30,1,6,1,30,2,29,1,30,1,29,1,6,1,8,3,6,2,24,2,12,1,8,1,24,2,14,1,15,1,14,1,15,1,8,1,13,1,8,2,9,1,24,1,12,1,17,2,12,1,11,1,6,1,13,2,9,1,10,1,12,1,11,1,9,1,16,1,17,2,24,1,10,1,9,1,6,1,11,1,17,2,9,1,10,1,9,2,8,1,24,2,17,1,12,1,17,10,16,1,9,1,10,1,12,1,24,1,10,1,24,1,8,1,13,1,8,2,24,1,13,2,24,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,10,1,16,1,17,2,9,1,17,1,14,1,10,1,8,1,13,1,8,1,9,1,8,1,9,1,12,1,10,1,9,1,12,1,9,1,8,1,9,2,7,1,13,1,9,2,8,1,12,2,17,1,12,2,11,1,13,1,7,1,30,1,29,1,6,1,30,1,29,1,6,2,29,1,6,1,13,2,17,52,11,1,16,1,13,1,11,1,8,1,9,1,8,2,12,1,9,1,8,1,9,1,16,1,17,1,10,1,12,1,17,5,13,1,30,4,28,8,6,1,11,1,17,14,16,5,17,1,16,1,17,1,16,3,9,1,16,2,11,1,16,2,11,1,16,3,11,3,9,2,11,4,16,2,17,1,16,1,17,1,16,4,11,4,9,1,11,1,9,3,11,1,9,2,11,1,9,1,11,2,9,2,13,1,9,2,13,1,9,1,11,1,9,3,16,1,9,5,11,1,16,1,13,1,9,1,13,1,11,2,9,1,11,1,16,1,9,3,13,3,30,1,6,1,30,1,6,1,13,3,30,1,13,3,30,1,13,4,9,1,6,1,13,2,9,2,11,1,16,7,9,1,11,2,9,1,11,1,9,1,13,1,9,2,13,2,9,5,11,3,16,5,11,1,16,2,9,1,13,2,30,1,28,1,30,2,28,1,30,2,6,2,13,6,6,1,30,2,28,2,13,1,9,1,13,1,28,4,13,1,9,3,13,1,28,1,30,1,28,7,13,1,6,1,30,1,6,1,9,7,13,1,8,1,9,1,13,9,9,2,16,1,11,1,9,4,13,1,9,2,11,1,9,2,16,1,17,1,11,2,16,1,9,3,13,2,6,1,13,2,11,3,9,1,13,3,9,1,13,1,9,3,11,1,17,9,11,1,13,3,30,1,13,1,30,1,6,1,30,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,10,1,11,2,10,2,17,1,12,1,16,1,12,1,17,1,12,1,11,1,17,1,10,1,17,1,11,1,16,2,9,1,11,2,16,1,17,2,11,1,17,1,12,1,10,1,11,1,17,2,12,1,11,1,17,3,11,1,17,1,12,1,17,2,16,1,17,1,11,1,17,1,16,1,17,7,16,2,17,1,16,1,11,1,16,4,11,1,16,2,17,2,16,2,17,1,16,1,17,2,11,2,16,1,11,2,9,1,11,1,16,1,11,2,16,3,11,1,9,1,11,1,16,1,11,2,16,2,11,1,16,1,9,2,11,1,16,1,11,1,10,1,11,2,16,2,11,3,16,1,11,1,9,1,11,1,16,1,9,2,17,1,11,1,16,1,11,2,16,1,11,2,16,1,11,4,16,1,11,1,10,1,16,2,9,2,11,2,9,2,11,1,9,1,16,1,11,1,9,1,11,1,16,2,11,2,16,1,11,3,16,1,11,1,16,2,11,1,16,1,11,1,10,1,11,1,16,6,11,2,16,2,11,1,17,1,16,1,17,4,16,2,17,1,16,2,17,2,16,2,17,1,16,3,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,19,11,1,17,1,16,9,17,1,16,1,11,1,16,1,17,1,16,2,17,2,16,1,11,1,17,4,16,3,17,2,16,7,17,1,11,2,16,2,11,1,16,1,11,1,16,5,11,3,16,2,9,1,13,2,9,1,16,2,11,1,17,1,11,2,9,1,10,1,17,2,16,1,9,1,16,1,11,1,16,1,10,1,11,1,8,1,11,1,9,3,11,1,9,1,11,2,9,2,13,1,9,1,16,1,9,1,17,1,16,2,17,2,11,1,16,1,11,4,17,1,11,2,9,4,11,2,16,2,11,1,9,4,13,1,9,1,13,1,8,1,13,2,8,2,13,1,9,1,13,1,9,1,11,1,9,3,13,1,8,1,13,1,9,2,8,1,9,1,8,2,9,1,13,2,8,1,9,1,8,1,11,1,9,2,13,1,9,1,8,1,9,5,13,1,9,2,13,2,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,3,13,1,9,2,8,2,9,1,8,2,9,1,8,1,13,2,8,2,9,1,8,1,9,2,8,1,13,1,8,1,9,4,10,1,13,1,9,2,8,1,9,2,13,1,9,2,8,2,13,1,9,3,13,1,9,2,13,1,8,2,13,1,9,1,13,1,10,1,13,2,8,1,9,1,8,1,9,4,13,1,9,2,13,1,8,1,11,1,16,1,17,1,9,4,8,1,9,2,13,2,9,1,13,3,9,1,13,3,8,3,9,1,8,1,9,2,10,1,13,1,8,1,9,1,8,2,9,1,11,1,8,1,9,1,11,2,9,2,8,1,9,1,8,1,13,1,9,2,8,1,9,2,13,4,9,3,8,1,9,1,8,1,9,1,13,1,8,1,9,4,11,1,9,2,8,1,9,2,8,2,13,1,8,1,13,2,9,1,13,1,8,2,9,5,13,5,9,1,8,1,9,2,8,1,9,3,13,8,8,2,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,2,13,2,9,1,13,3,8,1,9,1,13,3,9,4,8,1,13,1,9,1,8,1,13,2,9,1,8,1,9,1,13,2,11,1,8,1,9,3,8,1,9,1,13,2,9,1,8,1,13,3,9,1,8,1,9,2,8,1,16,1,9,1,8,1,9,1,8,4,9,3,8,1,9,1,13,1,11,1,9,2,13,1,9,1,11,1,9,1,16,2,11,1,16,2,9,6,8,1,9,2,16,1,9,1,11,2,9,1,11,1,9,1,16,1,8,1,16,1,13,2,9,3,13,1,10,1,11,1,9,2,10,1,9,2,11,1,9,1,16,1,9,1,11,1,10,1,11,2,9,2,8,1,9,2,13,1,10,1,9,1,8,1,9,1,8,1,9,3,13,1,8,1,13,1,9,1,8,1,10,1,8,2,9,2,13,3,9,2,8,1,13,1,8,1,13,7,11,1,9,1,11,2,9,1,16,1,9,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,17,1,11,1,16,1,11,2,17,1,11,1,13,1,9,1,11,1,9,4,6,1,13,1,8,1,13,3,9,2,13,1,9,4,11,1,9,3,8,1,13,2,9,1,13,1,9,1,13,2,8,2,9,1,13,2,9,1,13,1,9,4,11,2,9,5,13,2,8,1,13,1,8,1,9,1,13,1,9,1,13,3,9,1,13,1,9,1,13,2,9,6,8,1,9,2,11,1,9,2,10,1,11,1,16,1,9,4,8,1,9,1,13,1,9,1,8,3,13,2,8,1,13,2,8,1,9,3,13,1,9,1,13,5,8,1,11,1,9,1,11,2,16,2,9,2,8,1,9,2,8,1,9,3,16,1,11,1,10,1,9,3,16,1,17,1,16,1,11,1,13,2,11,1,10,1,9,1,11,1,8,1,9,4,13,1,8,1,9,1,8,1,9,1,8,3,9,2,8,1,9,2,13,2,16,1,9,2,10,1,9,3,13,1,9,1,13,1,9,4,11,1,9,2,8,1,6,1,29,1,30,1,6,1,13,1,7,1,11,4,9,2,10,1,24,1,10,1,9,1,11,1,8,1,10,1,9,3,10,2,9,1,8,1,9,1,8,2,10,1,9,1,8,2,13,1,8,1,13,1,8,1,13,1,8,1,9,1,8,2,9,4,16,1,10,1,6,2,13,1,9,3,10,2,11,1,9,1,11,2,9,2,11,1,10,1,11,1,9,1,16,2,17,1,9,1,11,1,16,1,9,2,16,1,11,1,16,1,9,1,11,3,9,2,16,1,9,2,11,1,9,4,8,1,9,16,11,1,9,5,8,1,9,5,8,1,9,1,13,1,9,3,11,1,9,1,10,1,9,8,13,1,9,3,10,1,9,2,8,2,9,2,8,1,13,1,9,8,13,2,11,1,9,1,11,1,8,1,9,4,8,2,9,1,8,1,9,1,11,1,9,1,8,1,13,2,9,1,13,2,9,1,13,2,9,1,13,1,9,1,10,1,13,1,9,1,8,1,16,1,9,3,13,2,9,1,13,2,17,1,16,1,11,3,9,2,11,1,9,2,13,2,8,1,9,1,13,3,9,3,8,1,13,4,6,2,13,10,8,1,13,2,8,1,13,3,9,1,8,1,13,2,8,1,13,3,6,1,13,4,9,1,8,1,9,4,11,2,16,3,11,4,9,1,11,2,16,2,11,1,9,1,16,1,9,1,16,1,11,4,16,1,10,2,16,1,9,1,11,3,9,1,11,1,16,1,11,2,16,1,17,2,16,3,17,1,16,3,17,1,16,4,17,1,16,1,11,1,16,2,11,2,9,1,10,2,11,1,9,11,8,1,11,1,16,1,9,1,11,1,9,1,13,2,9,2,16,2,17,3,16,1,17,2,16,3,5,434,33,1,30,2,13,1,8,1,9,1,7,1,9,1,24,1,13,1,10,1,13,3,8,1,9,1,14,1,16,1,17,1,16,1,12,1,15,1,14,1,24,1,10,1,9,3,13,1,8,1,12,1,17,2,10,1,13,1,30,1,6,2,30,1,8,1,17,2,9,1,17,1,8,3,7,1,6,1,13,1,7,1,6,1,29,1,13,1,6,1,13,1,7,1,13,1,8,2,6,1,7,1,6,2,7,1,8,1,7,1,29,1,6,3,13,1,11,1,14,1,17,1,9,1,24,1,17,1,9,1,17,4,10,1,8,2,6,2,7,1,8,1,9,1,17,1,30,1,7,1,30,2,28,1,29,1,12,1,9,1,13,3,9,1,}, {6,1,30,1,13,1,8,1,24,1,9,1,15,1,17,1,15,1,6,1,29,2,7,1,29,1,13,1,29,1,6,1,9,1,12,1,9,1,13,1,8,1,6,1,13,1,7,1,9,1,17,1,9,1,6,1,7,1,28,1,13,1,6,2,29,1,13,1,9,1,12,1,9,1,13,2,6,1,7,1,6,1,29,1,6,1,28,1,13,2,6,1,29,1,30,1,6,1,28,1,6,1,29,1,30,1,6,4,24,1,8,2,24,1,12,2,10,1,9,1,15,1,9,1,14,2,6,1,13,2,7,1,8,2,17,1,9,1,17,2,9,1,13,2,9,2,24,1,10,1,8,1,9,1,12,1,17,1,12,1,10,1,9,1,24,2,8,1,14,2,12,1,9,1,15,1,9,1,8,1,9,2,10,1,17,3,16,1,17,7,9,1,12,1,8,2,24,1,8,1,9,1,13,3,7,1,8,2,13,1,8,1,9,2,8,1,15,1,8,2,17,1,24,1,11,1,9,1,12,1,17,2,16,1,15,1,14,1,11,1,9,1,6,1,8,2,13,2,11,1,9,1,12,1,11,1,8,3,13,1,8,1,9,1,24,1,9,1,12,1,9,2,12,1,16,1,14,1,9,1,13,1,30,1,29,2,30,1,6,1,13,2,6,1,13,1,6,1,24,1,6,1,17,51,9,1,8,1,9,1,13,1,8,1,24,2,10,1,29,1,8,1,9,1,24,1,9,3,12,1,17,1,12,1,17,3,16,1,6,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,17,17,16,1,17,1,16,6,11,2,16,5,11,1,9,2,16,2,11,1,9,2,16,1,9,4,11,1,9,1,16,2,11,2,16,1,11,1,16,1,9,1,16,1,11,2,9,2,13,1,9,3,16,2,11,1,9,3,13,1,9,2,13,3,9,1,16,1,9,1,16,1,11,2,9,2,11,1,13,1,16,1,11,1,9,3,11,1,9,1,11,1,16,1,11,4,9,2,13,1,30,1,13,1,6,1,30,1,13,7,6,1,13,7,8,1,9,2,16,5,17,1,16,8,9,2,13,4,6,1,9,1,13,1,8,2,13,1,9,1,11,2,16,7,11,1,13,2,30,1,28,2,30,1,28,2,6,2,13,5,6,1,13,1,6,1,30,1,28,2,6,1,13,2,28,4,13,1,9,3,13,1,28,4,30,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,13,1,9,5,13,1,9,4,13,1,6,2,13,1,30,1,13,3,9,1,13,1,9,1,11,1,16,1,11,1,9,1,11,1,13,1,9,6,11,1,16,4,11,2,9,1,13,1,6,1,13,1,6,1,9,3,16,1,9,3,13,1,6,1,13,2,9,3,11,1,17,9,16,1,9,1,6,1,29,1,6,1,29,1,30,1,6,2,13,1,6,2,13,1,7,1,13,1,8,1,9,3,12,1,16,2,17,1,11,2,10,1,9,1,10,1,17,1,9,1,17,1,11,1,9,1,8,2,11,1,12,1,11,1,17,1,16,1,9,1,17,4,16,2,11,1,17,1,11,1,12,1,17,3,16,2,17,4,16,1,11,1,17,9,16,7,17,1,9,1,11,1,16,1,17,1,16,4,17,1,16,2,11,1,16,1,9,1,11,1,16,2,11,1,16,1,11,3,16,2,10,1,17,1,16,1,9,1,11,3,16,1,11,3,16,2,9,1,11,2,9,1,11,2,9,1,16,2,11,1,16,2,11,1,16,1,11,3,16,2,11,1,16,1,11,1,9,1,11,1,10,1,16,2,9,1,11,2,16,3,9,1,10,1,9,1,16,1,11,1,9,1,11,1,9,1,11,4,16,1,11,1,16,1,11,6,16,1,11,4,16,1,11,1,16,2,11,1,17,1,16,1,11,1,16,1,11,4,16,3,11,1,16,1,11,1,16,1,11,1,16,6,11,1,17,4,16,1,17,2,16,8,9,1,17,1,11,1,16,2,17,1,16,5,17,1,16,5,11,1,16,1,11,1,16,3,17,4,16,1,11,1,16,5,17,1,16,3,17,2,16,5,17,2,16,1,17,3,16,6,17,1,11,1,16,1,11,1,16,1,11,2,16,4,17,1,11,1,16,3,11,1,16,2,9,2,13,1,7,1,9,1,6,1,13,1,11,3,16,1,17,3,16,1,10,1,17,1,10,1,9,6,13,1,9,1,11,1,9,1,11,1,9,2,8,1,9,1,11,1,9,1,17,3,11,1,16,2,11,1,9,2,11,1,16,2,10,2,9,2,17,2,16,2,9,3,8,1,9,1,13,1,9,1,13,4,9,1,13,1,9,1,13,1,9,2,13,4,8,1,13,1,10,1,8,2,9,6,13,1,9,2,13,1,8,1,9,2,6,1,9,1,8,2,13,1,8,2,13,1,8,3,9,2,13,1,9,1,13,3,9,1,13,1,9,1,13,1,9,1,13,2,8,2,9,2,13,1,9,2,8,2,9,1,8,2,9,3,11,1,13,1,9,3,8,1,9,1,13,1,9,3,11,2,13,1,9,2,8,2,9,1,8,2,9,1,11,1,9,2,8,1,9,2,8,1,13,2,9,1,13,1,8,1,9,1,13,1,9,1,13,3,8,1,13,1,9,1,8,1,9,1,13,1,11,1,8,1,9,4,17,1,16,1,17,1,9,1,13,1,9,2,8,1,9,5,13,6,9,2,13,1,8,2,13,1,9,1,8,1,13,1,9,1,11,1,8,1,9,1,8,1,9,1,8,3,10,1,9,1,10,1,11,1,9,5,16,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,8,1,9,2,8,2,9,3,13,2,9,4,8,2,9,2,10,1,9,1,10,1,11,1,10,1,9,1,8,1,13,2,9,1,13,1,9,1,16,1,9,3,8,2,13,1,9,1,8,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,13,1,8,1,9,2,8,1,13,3,9,1,8,1,13,1,8,1,13,3,8,2,9,2,13,3,8,1,13,1,9,1,8,1,13,3,9,1,8,2,9,1,8,1,9,3,8,1,9,3,8,1,9,1,13,1,8,1,13,1,8,1,13,3,8,1,13,1,9,1,8,1,9,1,13,5,8,1,13,3,9,2,13,2,8,1,9,2,8,2,13,1,9,1,13,2,9,2,13,2,9,1,13,1,8,1,9,1,11,1,9,2,11,2,16,1,17,1,16,2,9,1,11,2,9,1,11,1,9,3,11,1,8,1,11,1,9,4,11,1,9,1,11,1,16,1,11,2,9,1,10,1,9,1,11,1,9,4,16,1,10,1,8,1,16,1,9,2,11,2,9,3,11,1,13,1,9,1,10,1,9,3,8,1,9,1,13,1,9,2,8,1,13,1,9,1,8,1,9,4,13,1,9,2,13,2,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,13,2,30,1,8,2,13,1,8,1,11,1,9,1,16,1,9,1,10,1,11,1,17,1,16,2,17,1,9,1,16,1,11,1,17,1,9,1,11,2,17,1,11,1,16,1,9,1,13,2,9,2,8,1,9,1,8,1,9,2,8,2,13,1,8,1,9,4,8,1,9,2,8,1,9,4,13,1,8,1,10,1,11,1,13,1,8,1,11,1,10,1,9,2,13,2,11,1,8,1,9,1,8,1,9,1,11,1,8,1,9,6,13,1,9,3,8,1,13,1,8,2,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,13,2,9,5,8,1,9,1,16,1,9,1,13,1,17,1,11,1,9,2,8,2,9,1,13,5,8,1,13,1,9,1,13,1,8,1,9,2,13,3,8,1,13,2,8,1,9,1,6,1,13,4,8,1,9,2,16,1,9,1,11,1,9,2,11,1,9,1,11,1,9,2,11,1,8,1,13,1,9,2,11,1,9,3,13,1,9,6,13,1,9,6,13,1,11,1,8,1,13,1,10,1,8,4,9,1,13,3,9,1,13,1,8,1,9,5,13,1,8,1,10,1,9,1,10,1,11,1,16,1,8,1,13,2,30,1,6,1,13,2,10,1,9,1,16,1,9,1,11,1,10,1,9,1,10,2,9,1,12,1,24,1,10,1,9,1,10,3,9,1,24,3,8,2,9,1,24,1,13,2,8,2,13,1,8,1,13,1,8,2,24,1,8,1,9,1,10,1,9,2,10,1,11,1,10,1,12,1,11,1,13,1,30,1,8,1,9,6,8,1,9,6,11,1,9,1,11,1,9,1,16,2,11,1,9,1,11,1,16,1,9,2,16,1,9,1,11,1,9,1,11,2,9,1,11,2,9,2,11,1,9,1,11,1,9,6,11,1,9,5,11,1,9,5,13,1,11,1,9,1,8,1,9,2,8,1,9,5,13,1,9,1,8,1,9,2,13,1,11,1,9,1,10,1,13,1,9,2,8,1,10,1,9,1,11,1,9,1,16,1,17,1,11,1,9,1,11,1,9,3,11,1,9,3,11,1,9,3,11,1,13,1,9,8,8,3,9,1,8,2,9,3,13,1,9,2,13,1,8,2,9,1,13,1,9,2,13,1,9,1,8,1,16,1,17,1,16,2,10,1,9,5,8,2,13,2,16,1,17,1,9,1,16,3,9,1,10,2,9,1,8,1,11,1,16,1,9,4,13,1,9,2,13,6,8,1,13,14,9,1,13,1,9,1,13,2,8,1,13,1,8,1,13,6,7,1,13,2,8,1,13,2,9,1,8,1,13,4,9,4,8,1,9,1,11,1,9,1,8,1,11,1,9,1,11,2,9,1,16,4,10,1,16,4,17,2,9,1,16,1,9,2,11,1,16,2,17,1,16,3,17,1,16,6,11,1,16,1,11,1,16,8,11,1,10,1,11,1,16,1,11,1,9,1,11,1,17,1,11,2,9,2,10,1,9,1,11,1,13,1,9,1,13,4,8,1,13,1,9,2,13,1,8,1,13,1,9,4,13,1,16,1,9,1,8,1,9,1,16,1,11,1,16,3,17,6,16,1,5,338,33,1,5,82,33,1,30,1,29,1,13,1,9,2,8,1,11,1,12,1,9,1,11,1,9,1,13,2,9,1,11,1,14,1,16,1,17,2,9,1,8,1,12,1,24,1,10,1,9,1,24,3,9,2,17,3,7,1,6,1,30,1,13,2,8,1,14,1,17,2,9,1,8,1,24,1,8,1,13,1,8,1,13,1,6,1,7,1,30,1,13,1,7,1,30,1,13,1,6,1,8,2,7,1,29,1,6,1,8,1,13,1,8,1,29,1,6,1,13,1,6,1,13,1,8,1,12,1,17,2,8,1,11,1,24,1,13,1,17,4,12,1,24,1,13,1,6,1,7,1,13,2,9,1,17,1,10,1,28,3,30,1,6,1,16,1,9,1,7,1,13,1,6,1,8,1,}, {6,1,29,2,8,3,9,1,15,1,10,1,7,1,6,1,29,1,28,1,24,1,8,1,13,1,8,1,10,1,15,1,8,2,13,1,8,3,9,1,17,1,12,1,10,1,24,1,30,1,29,1,6,4,24,1,9,1,10,1,7,1,29,1,6,1,8,1,29,1,8,1,13,2,6,1,13,1,8,1,13,1,30,1,6,1,30,1,29,1,6,2,30,1,6,1,7,1,29,1,8,1,13,1,8,1,24,2,8,1,9,1,8,1,9,1,14,2,15,1,13,1,9,1,6,1,8,1,24,1,9,3,17,2,9,1,24,1,13,2,24,1,9,1,12,1,9,1,12,1,10,1,17,2,10,1,13,1,6,1,8,1,9,1,15,2,14,1,15,2,12,1,24,1,9,1,10,1,8,1,17,3,12,1,17,1,16,1,17,5,11,1,9,1,8,1,10,1,8,1,15,1,13,3,24,1,9,1,13,1,8,2,9,1,13,1,9,1,24,1,9,1,15,1,13,1,8,1,13,1,8,1,17,2,12,1,17,1,14,1,15,1,14,1,15,1,9,1,13,1,24,1,7,1,13,1,8,1,13,1,9,1,11,1,12,1,9,2,7,1,24,1,8,3,10,1,17,1,10,1,11,1,17,2,14,1,9,1,13,3,6,1,13,1,29,1,6,1,13,1,29,1,13,1,7,1,13,2,17,49,16,2,12,1,10,1,8,2,24,1,8,1,9,1,24,1,13,1,8,1,9,1,8,1,12,2,17,1,12,1,16,1,11,2,17,2,11,1,13,1,29,1,30,1,29,1,28,10,17,16,16,7,11,2,16,3,11,1,16,2,11,3,16,1,9,1,16,1,9,1,11,1,16,1,11,2,9,1,13,1,11,1,9,1,11,1,16,5,11,1,16,1,11,2,16,1,9,4,8,1,11,3,16,2,9,3,11,1,9,1,13,1,9,4,11,1,16,3,9,2,13,1,9,1,11,1,9,7,11,2,16,1,11,1,9,2,11,1,9,1,13,4,6,1,13,13,9,1,13,1,11,1,9,1,16,1,11,1,16,2,17,2,16,3,11,1,16,2,11,1,9,1,13,1,9,3,13,4,8,1,13,4,9,2,11,2,16,5,11,1,16,1,13,3,28,4,30,1,6,1,13,1,6,2,13,3,6,1,30,1,28,1,30,1,28,2,13,1,9,1,30,1,28,2,30,1,13,1,9,2,13,2,30,2,28,1,30,2,28,2,30,1,13,1,6,1,30,1,6,1,13,2,9,6,13,8,6,1,13,2,9,2,13,1,9,1,11,2,9,2,13,1,9,3,11,1,9,1,11,1,13,1,16,3,17,1,16,2,9,1,11,1,13,3,6,1,13,2,9,4,13,1,6,1,13,1,6,1,13,3,9,1,11,1,16,1,17,2,16,1,17,6,16,1,9,1,6,1,13,1,6,1,30,1,29,1,7,1,13,1,30,3,28,1,7,1,13,2,9,2,8,1,9,1,11,1,9,1,10,2,12,1,8,1,17,1,9,1,17,1,12,1,9,2,13,1,9,1,8,1,9,2,8,1,11,2,17,1,9,1,17,3,16,1,17,2,12,2,11,1,17,10,11,1,17,3,16,1,17,5,16,3,17,1,16,2,17,1,16,3,17,3,16,2,17,1,16,4,9,1,16,2,11,4,9,1,16,3,9,1,11,1,16,1,17,1,11,2,16,1,11,1,17,1,9,1,11,1,9,1,11,1,9,2,11,4,16,2,11,2,16,2,11,2,16,2,9,1,10,1,8,1,11,1,16,2,11,1,16,1,11,2,16,2,9,1,11,2,17,1,16,1,13,1,17,1,9,4,11,2,10,1,11,1,16,1,11,1,17,1,9,1,11,1,16,1,9,1,11,1,9,1,16,2,10,1,9,1,11,3,16,1,9,1,10,1,16,1,10,1,11,2,16,1,11,2,17,1,11,2,16,3,11,1,16,1,11,1,16,1,11,1,17,2,16,4,11,1,16,1,17,1,11,1,16,1,17,2,16,4,17,1,16,1,17,3,16,5,17,1,16,3,11,1,16,5,17,1,16,1,11,1,16,2,17,1,16,3,11,1,17,1,16,1,17,1,16,1,17,3,16,1,17,2,16,6,11,1,16,11,11,1,16,6,11,1,16,3,11,1,16,3,11,4,16,3,11,1,16,1,17,2,13,1,8,2,13,2,16,1,11,2,16,1,17,2,16,1,17,1,11,1,9,1,16,1,9,3,10,1,9,1,11,1,9,1,11,1,9,1,16,1,11,3,9,4,16,3,9,1,11,1,16,1,9,1,16,1,10,1,17,1,10,1,11,2,17,4,16,1,9,3,11,1,9,3,13,1,8,1,13,3,8,2,9,1,13,1,9,1,8,1,13,1,8,2,9,2,13,1,9,2,13,1,8,1,9,2,8,1,13,1,8,1,9,2,13,1,8,1,9,1,13,1,9,1,13,2,8,1,13,2,8,1,13,4,8,1,13,1,9,1,8,1,9,3,13,2,11,1,9,6,8,1,9,2,8,1,9,4,8,2,9,3,13,1,9,1,13,1,9,1,8,1,11,1,9,3,13,1,11,1,9,2,10,1,8,1,9,1,11,1,8,1,9,1,8,2,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,8,1,9,2,13,1,9,2,13,4,9,1,13,2,6,1,9,1,7,1,13,2,9,1,16,1,11,1,8,1,11,1,9,1,8,1,10,1,13,1,9,1,13,1,9,3,10,1,9,3,13,2,8,1,13,3,9,1,13,1,9,1,13,1,8,1,9,3,11,1,9,1,13,1,11,1,9,5,11,1,16,1,8,1,9,1,13,1,9,5,8,1,16,1,13,2,9,1,8,2,9,4,16,1,11,2,8,1,13,1,9,12,16,1,10,1,9,3,8,1,9,1,11,1,16,2,9,7,13,1,9,1,8,1,9,1,8,1,9,1,11,1,9,4,8,1,9,3,11,1,9,2,13,1,16,1,13,1,8,2,13,1,8,3,13,1,9,1,8,2,13,1,8,2,9,1,13,2,9,1,13,1,8,2,13,1,9,1,13,1,9,2,8,1,9,3,8,4,9,1,8,1,9,1,13,1,9,2,13,1,8,1,13,1,9,4,13,2,8,1,13,3,9,8,13,1,8,1,13,1,9,1,8,1,9,3,13,1,8,1,9,9,17,1,16,2,10,2,16,1,9,2,11,1,9,3,11,1,9,1,8,1,10,1,9,2,13,2,11,1,8,1,9,2,13,1,9,2,16,1,8,1,9,2,11,1,9,3,10,1,13,1,9,2,8,1,9,3,8,1,9,1,8,1,9,1,8,1,9,2,11,1,13,1,9,1,8,1,9,4,13,2,9,4,8,1,9,2,13,1,8,1,13,1,9,3,13,3,9,1,13,2,8,1,13,2,9,2,13,1,9,3,10,1,16,3,17,1,11,1,16,3,9,1,16,2,11,1,9,1,10,1,9,1,17,1,11,1,13,1,9,3,8,1,13,1,9,1,13,1,6,1,7,1,9,3,8,2,9,5,8,1,9,1,10,1,13,1,8,2,9,1,13,1,9,2,13,1,9,5,11,1,8,1,9,5,13,2,9,5,13,1,8,2,13,2,9,2,8,1,13,3,8,1,13,1,9,1,8,1,13,1,8,1,13,1,8,2,9,2,8,1,9,3,10,1,8,2,16,2,13,1,9,4,8,1,13,2,8,1,13,3,9,1,13,1,8,1,13,2,8,1,9,2,13,6,9,2,13,1,8,1,13,1,9,1,8,2,9,1,13,2,9,2,11,1,9,1,8,1,9,1,13,2,9,2,8,1,9,1,13,2,9,1,8,1,9,5,13,2,11,1,8,2,11,1,9,2,8,2,16,1,8,1,13,2,9,2,8,4,9,1,8,1,9,1,13,5,8,1,9,1,8,1,9,8,13,1,9,1,11,1,9,1,17,1,11,2,12,1,10,1,9,2,10,1,9,1,24,1,9,3,24,1,10,1,9,3,8,1,24,1,8,2,9,1,24,1,8,1,13,1,12,1,8,1,13,2,8,1,13,1,7,1,8,1,13,1,9,3,8,1,9,2,11,2,16,1,10,1,17,1,9,1,6,1,13,1,9,8,11,1,9,2,8,1,11,1,9,2,11,1,9,1,11,1,9,1,8,1,11,2,9,3,11,1,9,3,11,1,9,2,11,1,10,1,9,1,11,1,9,3,11,1,9,1,11,1,9,8,13,1,9,1,13,1,9,8,8,1,9,1,13,1,9,2,13,1,9,2,8,1,13,1,11,1,8,1,9,3,10,1,16,1,9,5,11,2,9,2,11,1,10,1,11,1,13,1,9,3,13,1,9,1,8,1,9,2,13,1,9,1,13,1,8,2,9,1,11,1,8,1,9,2,13,1,9,2,8,1,13,1,8,1,9,4,13,1,9,2,11,1,9,2,8,1,10,1,8,1,9,5,16,1,17,2,11,1,8,3,13,1,9,2,13,2,8,1,9,1,16,1,17,1,9,1,17,1,10,1,16,4,11,1,9,3,10,1,11,1,9,5,8,1,13,9,9,3,8,1,9,6,13,1,9,1,13,1,8,2,13,7,6,1,13,15,9,1,13,3,9,2,13,2,9,2,13,1,9,7,11,3,16,5,17,5,16,1,17,1,16,1,17,4,16,1,17,2,16,7,11,1,16,7,11,2,16,1,17,1,9,1,11,2,10,1,16,1,10,2,9,2,11,1,9,8,8,1,13,5,8,1,13,1,8,1,13,1,8,1,9,3,11,1,9,1,11,2,16,1,11,1,16,1,17,6,16,1,5,323,33,1,30,1,33,1,13,3,5,2,28,8,13,1,5,77,33,1,30,1,28,1,13,1,9,1,16,1,10,1,9,2,11,1,24,1,13,3,8,1,9,1,14,1,17,3,10,1,11,1,9,1,15,1,14,1,9,2,11,1,13,1,12,1,11,1,17,2,10,1,6,1,30,1,6,3,9,1,14,1,17,1,12,1,9,2,24,1,13,2,24,1,6,3,7,1,6,1,8,1,6,1,8,1,7,1,13,2,8,2,29,1,8,1,13,1,9,1,13,2,8,1,6,3,15,1,17,2,12,2,9,2,12,1,17,3,24,2,6,1,13,1,29,1,24,1,13,1,9,1,17,1,8,1,28,2,30,1,29,2,13,1,8,2,29,1,13,2,}, {30,1,6,2,7,1,13,1,8,1,9,2,10,1,7,1,6,1,30,1,7,2,8,1,6,1,13,1,8,1,17,1,9,1,13,2,24,1,6,1,13,1,8,1,17,1,10,1,12,1,7,1,6,1,30,1,13,1,29,1,6,2,8,1,10,1,8,1,13,2,30,1,24,1,13,1,6,1,30,1,8,1,13,1,8,1,24,1,13,1,8,1,6,1,29,1,6,2,29,2,7,1,29,1,6,2,7,1,13,1,8,1,24,1,17,1,10,1,9,3,14,1,15,1,9,1,13,1,6,1,9,1,8,2,10,1,11,1,17,2,16,1,24,1,13,1,9,1,24,1,10,1,9,1,11,1,24,1,9,1,17,2,8,1,13,1,10,1,8,1,9,1,14,5,12,1,15,1,14,1,17,1,16,1,17,4,9,1,17,6,11,1,9,1,12,1,13,1,15,1,10,1,24,1,9,1,8,3,9,1,8,1,9,1,8,1,9,1,7,1,9,1,24,1,13,1,9,2,17,1,11,1,14,1,16,1,17,1,14,1,17,1,14,2,15,1,9,1,8,2,13,2,8,2,12,1,24,1,9,1,8,1,13,1,10,1,8,1,13,1,9,4,10,1,15,1,17,3,14,1,7,1,13,1,7,1,6,1,8,1,7,1,6,1,13,2,7,1,24,1,13,1,9,1,17,48,9,1,8,1,13,2,8,6,13,2,6,1,8,2,9,2,10,1,12,2,9,1,17,2,16,1,17,1,13,1,6,1,28,1,29,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,11,1,17,13,16,1,17,1,16,7,9,1,11,1,16,1,9,1,16,14,11,1,9,4,16,1,11,1,16,1,11,1,16,1,10,1,16,2,9,1,11,1,9,2,13,1,9,4,11,2,16,1,13,1,11,1,9,4,13,1,9,1,13,1,9,2,11,1,17,1,16,1,11,1,9,1,13,2,9,2,13,1,9,3,11,3,16,4,9,1,16,1,9,5,13,1,9,2,13,5,9,1,13,1,9,1,13,3,9,3,11,1,16,4,17,1,16,1,17,3,16,1,11,1,16,2,9,1,11,1,9,2,13,14,16,1,11,1,16,2,11,1,16,3,13,1,30,1,13,1,30,1,28,1,30,2,28,2,13,5,30,1,13,1,28,5,9,1,6,1,30,1,28,1,30,1,13,1,9,3,13,1,6,1,30,1,28,1,30,2,28,1,6,2,13,1,6,2,13,1,9,2,13,1,9,1,11,1,13,1,9,1,13,1,9,1,13,2,6,2,13,4,6,1,13,1,9,4,11,1,16,1,9,1,11,1,9,3,11,1,9,2,11,1,9,2,11,1,16,1,17,1,16,5,13,4,6,1,9,1,13,1,9,1,13,9,9,2,11,1,10,1,17,10,9,1,6,2,7,1,13,3,30,2,13,1,30,1,29,2,6,1,13,2,8,1,9,4,8,1,9,1,10,1,12,1,8,1,10,1,9,1,11,1,9,3,8,1,9,1,8,1,11,3,16,1,9,1,17,1,11,1,17,3,11,2,16,1,12,1,17,1,12,1,17,7,16,1,9,1,17,1,16,1,17,8,16,1,11,1,16,1,11,1,16,1,11,1,16,2,17,1,16,1,17,1,16,1,17,2,16,1,17,1,11,2,17,1,16,1,11,1,16,2,11,2,16,1,11,2,9,1,10,1,16,1,17,1,16,2,10,1,16,2,11,1,9,1,11,1,10,1,17,1,9,1,11,2,16,1,17,1,11,5,16,1,11,1,16,1,11,1,16,1,11,3,9,2,11,2,9,1,11,1,10,1,16,1,10,1,11,1,16,2,10,1,9,1,17,1,16,1,10,1,9,1,16,1,9,1,11,1,8,1,11,2,9,1,11,1,9,2,11,2,16,1,11,1,16,2,11,1,9,1,11,3,9,1,16,1,11,2,16,1,11,7,16,2,9,1,16,1,11,3,16,4,11,1,16,3,11,2,16,1,17,1,16,2,17,1,11,1,16,3,17,1,16,4,17,1,16,1,17,4,16,2,17,1,16,2,17,1,16,2,11,1,16,5,11,1,16,2,11,2,16,2,11,1,16,4,11,1,16,1,11,2,16,4,17,2,16,2,17,1,16,7,17,3,16,2,11,1,17,1,11,1,16,2,11,2,16,1,11,2,16,2,11,3,16,2,11,1,16,2,11,2,16,2,17,1,11,1,10,1,8,2,13,3,8,1,9,1,17,2,11,2,9,1,8,1,9,6,8,1,11,1,16,1,11,1,16,1,11,1,16,2,9,1,11,2,16,2,17,1,11,2,8,1,11,1,16,3,11,1,16,1,11,2,16,1,17,1,11,1,10,1,9,1,11,1,9,3,13,2,8,1,9,1,8,2,9,2,13,1,8,1,9,1,13,1,8,1,9,4,13,1,8,1,11,1,8,1,11,1,9,1,8,1,13,1,9,1,13,1,9,3,13,1,9,1,13,3,8,2,13,3,8,1,9,1,13,2,9,1,10,1,13,1,9,1,13,1,8,1,11,1,13,2,9,8,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,11,1,8,1,9,1,8,1,9,3,8,1,11,1,8,1,9,2,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,2,8,1,13,1,9,1,8,1,9,5,13,1,9,3,8,1,13,2,9,1,13,1,8,2,13,2,9,1,8,1,13,4,11,1,16,1,10,1,9,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,3,11,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,10,1,8,1,9,1,8,1,13,1,9,2,8,1,9,7,11,1,9,2,11,1,9,2,11,1,10,1,9,1,8,1,9,1,16,1,9,1,13,1,9,1,8,1,10,1,9,2,8,1,9,1,11,4,16,1,11,1,9,2,11,1,9,4,16,1,11,1,9,4,16,2,11,1,10,1,9,1,8,1,16,1,9,1,11,1,8,1,16,1,11,1,9,1,16,1,8,1,9,7,13,1,9,1,16,1,13,1,9,3,8,1,13,1,9,2,11,1,9,1,8,1,9,1,8,1,9,1,13,1,9,2,13,1,9,3,13,1,9,1,13,2,8,1,13,1,9,1,13,3,9,1,13,2,9,2,8,4,9,1,8,1,13,1,11,1,9,1,8,2,13,3,8,1,13,1,8,1,9,1,8,1,9,4,8,1,9,1,8,1,13,2,8,1,13,1,8,1,9,2,8,1,16,1,8,1,9,1,8,1,9,1,11,1,13,1,8,1,9,3,8,1,13,1,9,3,13,1,17,1,13,1,9,2,11,1,16,1,17,1,9,3,8,1,9,3,11,1,9,1,13,2,16,1,9,2,11,1,9,4,16,1,13,1,9,2,8,1,16,1,9,2,11,1,9,4,8,1,9,2,13,1,11,1,8,1,9,4,8,2,16,1,9,3,8,3,9,4,11,1,8,2,13,1,9,1,8,1,9,2,13,1,9,3,8,1,9,1,8,1,9,5,13,1,9,1,13,1,9,2,8,1,9,1,13,1,8,1,9,6,8,1,17,1,9,1,11,1,9,1,11,2,16,1,9,2,8,1,11,1,9,1,11,1,13,2,11,1,9,2,13,1,9,2,13,1,9,1,13,2,9,1,8,1,9,1,13,1,9,4,8,1,9,2,11,1,9,1,8,1,9,2,10,1,13,1,9,6,8,1,9,1,11,1,8,1,9,4,8,2,9,1,8,1,9,1,13,1,9,1,13,3,9,1,13,2,6,1,13,2,8,1,7,1,13,4,9,3,13,1,8,1,13,1,8,1,9,1,13,2,9,4,11,1,17,1,9,1,13,1,8,1,11,1,13,1,9,3,6,1,8,3,9,1,13,1,8,1,13,1,9,1,13,11,8,1,13,4,9,2,13,5,9,1,13,1,9,1,8,1,13,2,8,1,13,1,8,1,13,2,8,1,9,1,13,1,9,3,13,2,8,2,13,1,9,2,13,1,9,2,8,1,13,2,8,5,13,2,9,2,8,1,9,1,8,1,9,2,13,1,8,1,9,4,11,1,9,2,13,2,8,1,11,2,17,1,10,1,9,2,12,1,11,1,9,1,10,1,24,1,11,1,9,2,10,1,9,2,24,1,9,1,24,2,10,1,12,1,9,1,8,2,24,1,13,1,8,1,24,1,8,1,13,2,8,1,24,1,13,2,24,1,8,3,10,1,24,1,9,1,11,1,9,1,11,2,17,2,16,1,17,1,16,1,13,2,9,1,8,1,9,1,10,1,9,1,11,1,13,1,11,1,9,1,13,1,8,1,9,2,11,1,9,2,11,1,9,1,11,2,9,2,11,1,9,2,11,2,9,2,11,1,9,1,11,1,9,1,8,1,9,10,13,1,9,6,13,1,11,1,9,1,13,2,9,2,8,1,9,2,8,1,13,1,9,1,8,2,9,1,8,1,11,1,9,1,8,1,13,1,11,1,9,10,8,1,9,1,13,1,9,1,8,1,9,2,11,1,8,1,11,1,13,1,9,2,8,1,9,2,13,1,9,1,8,1,9,1,10,1,9,2,8,1,13,3,9,1,8,1,9,1,13,1,9,2,13,1,9,1,8,2,11,1,9,5,8,1,9,1,8,1,11,2,10,1,11,1,17,2,13,1,10,1,9,1,13,1,9,1,8,1,9,1,13,1,8,2,9,1,16,2,10,1,11,2,16,1,11,2,16,1,9,2,11,1,16,1,9,1,10,1,8,1,9,4,8,2,13,1,9,2,13,4,8,1,13,1,8,1,13,1,9,2,13,3,9,1,13,1,9,1,13,31,8,1,13,1,9,1,13,1,9,1,13,3,9,1,8,1,9,5,16,1,9,1,13,1,9,4,10,1,9,2,11,1,16,5,17,1,16,1,17,1,16,1,17,5,16,1,17,1,16,5,17,1,16,2,17,1,11,1,16,2,11,3,9,1,11,4,16,1,11,1,10,1,9,1,10,1,9,2,11,1,10,1,9,3,10,1,9,5,8,1,9,1,8,3,9,3,10,1,9,3,11,1,9,3,10,1,11,2,16,3,17,1,16,1,17,7,16,1,17,2,16,1,9,1,13,2,33,8,5,299,33,1,16,1,28,6,30,1,29,1,13,1,8,1,13,1,6,1,28,3,30,1,33,1,5,75,33,1,28,2,6,1,11,1,10,2,12,1,9,1,10,1,13,1,9,1,6,1,8,1,9,1,12,1,14,1,17,1,16,1,10,1,9,1,12,1,10,1,9,1,10,2,24,1,12,1,9,1,10,1,12,1,17,2,9,1,6,1,30,1,6,1,13,1,8,1,9,1,15,1,17,2,9,1,24,1,17,1,24,1,13,1,7,1,8,1,6,2,8,1,6,1,13,1,6,3,13,2,24,1,13,1,24,1,9,1,13,1,24,1,6,1,13,3,29,1,13,1,15,1,14,1,12,1,9,1,10,1,24,1,11,1,12,1,17,3,10,1,9,1,8,1,30,1,6,1,13,2,14,1,12,1,9,1,30,1,28,3,6,1,8,1,13,1,6,1,13,1,6,1,8,1,}, {30,1,28,1,6,1,13,3,24,1,15,1,12,1,30,1,7,1,6,1,30,1,6,1,29,1,7,1,8,1,9,1,11,1,9,1,13,2,8,1,13,1,7,1,9,1,17,2,9,1,8,1,13,1,8,1,28,1,6,2,13,1,8,1,10,1,7,1,8,1,6,3,28,1,29,1,6,2,8,1,13,1,8,1,24,1,6,1,29,1,30,1,6,1,7,1,29,2,7,1,30,1,13,1,6,3,24,1,9,1,12,1,24,1,11,1,9,1,12,1,14,1,9,1,8,1,7,1,24,1,8,2,9,1,11,2,17,1,12,1,17,1,8,2,13,1,9,4,8,1,9,1,17,1,16,1,9,1,8,1,15,1,13,1,15,1,14,3,17,1,14,1,11,1,15,1,11,1,17,13,10,1,12,1,8,1,9,1,15,1,9,2,8,1,24,1,13,1,9,2,13,1,8,1,7,1,9,1,8,2,24,1,8,1,11,1,9,2,24,1,10,1,17,2,14,2,15,1,14,1,15,1,9,1,13,1,7,2,8,1,13,1,24,1,9,2,8,1,9,1,13,1,24,1,8,2,9,1,24,2,10,1,9,2,17,3,9,2,8,1,24,1,13,1,9,1,8,1,13,2,8,3,24,1,13,1,17,46,16,1,11,2,13,1,8,3,13,1,24,1,8,1,13,2,8,1,13,1,6,2,24,3,9,2,10,1,12,1,16,1,17,3,6,1,29,1,30,1,28,10,6,1,11,1,17,15,16,1,17,1,16,2,11,1,16,1,9,1,11,1,16,10,11,1,16,1,17,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,9,3,11,5,16,1,11,1,9,1,11,1,8,1,9,1,11,1,9,2,11,2,16,1,11,1,9,1,11,2,9,3,13,1,9,3,13,1,9,1,11,1,16,1,11,1,16,1,9,2,16,1,9,1,8,1,9,1,30,1,13,2,16,1,11,1,16,6,9,1,11,4,9,2,11,1,9,1,8,1,13,1,9,4,13,1,9,2,8,1,9,1,11,1,9,1,11,1,16,6,17,1,16,5,9,2,11,1,9,4,13,11,9,2,16,1,11,2,16,4,11,1,9,1,13,2,30,3,28,1,30,1,6,1,30,1,13,5,30,2,28,3,13,1,9,1,30,1,28,2,13,1,9,1,11,1,13,2,30,1,6,1,30,2,6,1,30,1,28,1,13,2,6,2,13,1,9,1,13,1,9,2,13,1,9,2,13,3,6,1,13,3,6,2,13,3,9,1,13,1,9,1,13,1,11,2,16,1,11,1,9,4,16,1,9,3,13,1,11,1,16,5,11,1,16,1,11,1,9,1,13,1,6,1,13,1,9,1,13,1,8,1,9,1,13,4,6,3,13,1,30,1,8,1,9,2,16,1,11,1,16,1,17,9,11,1,13,1,9,1,13,2,6,3,7,1,30,2,13,1,30,1,6,1,30,1,13,1,6,1,13,1,8,2,10,1,9,4,11,1,8,5,11,1,9,1,12,1,8,1,9,1,17,1,12,2,17,1,10,1,17,7,12,1,16,1,17,1,9,1,17,4,16,2,10,1,16,1,10,1,17,1,10,1,17,7,16,2,17,3,16,1,17,2,16,2,17,1,16,1,11,1,16,1,17,1,11,1,17,1,11,1,16,7,11,1,9,1,16,1,11,2,16,1,9,1,11,2,16,1,17,1,11,1,9,1,11,1,16,1,11,1,10,1,16,1,11,1,17,1,11,1,16,1,9,1,11,2,17,1,9,1,11,2,17,1,9,1,16,1,9,1,11,2,9,1,16,2,9,3,10,1,11,2,9,1,16,1,11,1,9,1,16,2,11,1,9,1,11,1,10,1,9,1,11,2,9,3,16,2,11,1,8,1,11,1,9,2,16,1,9,2,11,1,9,1,16,1,13,1,16,2,11,2,10,1,9,1,11,3,16,1,10,1,11,2,9,1,11,1,16,2,11,1,16,1,11,1,16,1,17,1,11,1,16,3,17,1,16,5,17,1,16,7,11,1,16,1,17,2,16,3,17,2,16,1,11,1,16,7,11,1,16,2,17,1,16,1,17,1,16,2,11,1,16,4,11,3,16,3,11,3,16,3,17,1,16,3,11,1,16,5,11,1,17,1,16,1,17,2,16,5,11,3,16,2,11,1,9,1,10,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,3,11,1,17,3,11,1,13,1,9,1,13,1,9,1,8,1,9,1,16,1,17,1,11,1,9,2,10,1,9,1,11,1,9,2,11,1,9,1,11,1,9,4,8,1,11,1,9,1,11,4,17,1,11,2,9,1,16,2,17,1,16,1,17,1,9,1,16,2,11,1,9,1,13,4,9,1,13,1,11,1,8,2,13,1,9,3,8,1,13,1,8,1,13,1,9,1,8,1,9,1,13,2,9,5,10,1,9,3,13,1,9,1,13,1,9,1,8,1,9,2,13,1,9,1,13,1,9,2,13,1,8,1,9,2,8,1,9,4,8,1,9,2,8,1,9,1,10,1,13,1,9,4,10,1,9,1,13,1,11,1,9,1,8,1,9,3,11,1,13,1,11,1,9,4,8,1,9,8,8,2,9,5,13,1,11,1,9,1,8,2,13,1,9,9,13,1,9,1,13,1,9,3,11,1,13,1,8,1,9,1,13,2,9,2,13,2,8,1,13,1,8,1,9,2,16,1,13,1,9,1,13,2,9,1,10,1,8,1,9,1,13,2,11,1,9,1,11,2,9,1,11,1,9,3,13,1,9,4,8,1,9,8,11,1,9,11,11,1,9,5,8,1,9,4,13,2,11,1,10,1,11,1,9,1,10,1,9,3,10,1,9,2,11,1,9,1,11,1,9,2,11,2,9,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,13,1,11,2,9,1,11,1,9,4,11,1,9,5,11,1,9,1,10,1,9,3,10,1,11,1,10,1,9,1,10,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,11,1,9,1,10,1,9,1,13,1,9,5,8,1,9,2,13,1,11,1,10,2,9,1,8,1,9,1,8,1,9,4,8,1,9,1,8,1,9,3,13,1,9,1,13,1,9,1,8,1,13,1,9,1,7,1,13,2,11,1,8,1,9,1,13,1,9,2,8,1,9,2,8,2,11,1,9,2,10,1,11,1,9,1,10,1,9,1,13,1,9,3,13,1,10,1,9,3,16,2,9,1,11,3,17,1,16,1,10,1,16,1,9,2,11,1,9,2,8,2,9,2,8,1,11,1,9,1,10,1,11,1,10,1,9,3,13,1,11,1,9,2,10,2,9,4,13,1,9,2,11,1,9,4,8,4,9,3,8,1,16,1,13,1,11,1,9,1,8,1,9,4,11,1,13,1,8,1,13,1,9,1,13,1,9,1,16,1,13,1,9,9,13,1,9,1,8,1,9,1,13,3,8,1,13,2,8,2,9,1,16,1,9,2,16,1,13,1,16,1,11,1,9,2,8,1,9,2,10,1,11,1,9,1,11,1,9,2,8,1,9,6,8,2,9,2,13,1,9,4,11,1,8,1,9,1,11,3,13,1,9,1,8,1,13,1,10,1,9,3,8,1,9,2,8,1,11,1,9,1,11,1,9,1,8,1,9,1,11,1,13,1,9,1,13,1,8,1,13,7,9,1,8,1,13,2,9,2,13,2,8,1,13,3,9,1,13,1,9,1,8,1,13,1,9,1,13,2,9,2,13,1,9,3,11,1,9,1,13,1,17,1,9,1,13,1,9,3,8,2,13,1,8,1,13,3,9,1,13,2,9,1,13,2,8,1,13,2,9,1,8,1,9,1,8,1,13,4,8,1,9,1,11,1,9,1,13,1,9,2,8,1,13,1,9,1,8,1,9,2,8,1,11,1,13,3,9,1,13,1,8,1,13,1,9,1,8,1,9,2,13,4,9,1,13,1,8,2,9,1,16,1,9,1,13,1,9,2,8,1,9,1,8,1,13,1,9,1,8,2,13,2,9,1,8,1,13,4,8,4,10,1,8,1,13,1,9,2,8,1,11,3,10,1,9,1,17,1,9,1,12,1,9,1,10,4,9,2,10,1,9,1,10,1,24,1,8,1,9,1,10,1,8,1,9,1,10,1,9,1,8,3,9,1,13,1,8,3,24,1,8,3,13,1,24,1,13,3,12,1,8,1,9,2,11,2,17,1,11,1,16,1,17,1,16,1,17,2,9,1,13,1,9,1,8,1,9,1,13,1,11,1,13,2,9,7,13,1,11,1,9,2,13,1,9,1,10,1,9,2,16,1,9,2,11,1,9,1,11,2,8,1,11,2,9,7,10,1,9,1,16,1,9,3,13,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,9,2,8,1,10,1,13,1,9,1,13,1,9,1,8,1,16,1,8,1,9,4,11,1,8,1,11,1,16,1,11,1,8,1,10,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,2,9,4,13,2,9,1,13,2,9,4,16,1,10,1,9,1,11,1,10,1,9,2,8,5,9,1,8,1,13,2,8,1,9,1,8,1,9,2,13,1,8,1,9,1,10,1,9,2,8,1,9,2,11,1,9,1,16,1,9,1,8,1,9,3,8,1,9,3,13,1,8,1,13,1,9,1,13,1,10,1,16,1,9,1,11,1,9,1,11,1,9,8,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,5,13,1,9,1,13,1,9,1,8,1,9,1,13,6,8,2,13,5,9,1,13,8,9,1,13,4,9,2,13,1,8,1,13,7,8,1,6,1,13,1,9,1,13,6,9,1,13,2,9,1,13,2,9,1,10,1,9,7,11,1,9,1,16,1,11,2,16,3,11,2,16,1,11,1,16,1,17,2,16,2,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,6,11,7,9,2,11,1,16,2,11,3,16,1,11,1,16,1,11,4,9,1,11,1,10,1,11,1,9,4,11,2,16,2,11,4,9,1,11,1,9,1,11,2,10,2,16,1,17,2,16,5,11,1,16,2,17,1,16,2,11,1,16,3,11,1,16,4,5,2,33,1,13,2,33,3,13,2,33,3,5,288,33,1,13,1,28,1,30,1,28,4,30,1,28,1,29,1,6,1,28,1,6,2,13,1,9,1,17,1,13,1,33,1,5,74,30,1,28,2,6,1,16,1,9,1,11,1,24,1,9,1,10,1,24,2,6,1,13,1,24,1,15,1,17,1,16,1,17,1,16,1,9,1,16,1,9,8,17,1,12,1,17,1,13,6,8,1,9,1,12,1,17,1,9,1,24,2,13,2,7,1,13,1,6,1,7,1,6,4,13,1,6,1,24,1,7,1,13,1,6,1,29,1,6,1,7,1,13,1,29,1,13,1,8,1,28,1,30,1,24,1,15,2,17,1,9,1,11,1,9,1,11,1,12,1,17,2,11,1,12,1,24,1,6,1,7,2,13,1,8,1,12,1,9,1,8,1,30,1,28,1,30,2,6,1,8,1,13,2,6,1,13,1,8,1,}, {30,1,13,1,6,1,7,1,24,1,7,1,12,1,15,1,10,1,6,1,29,1,13,1,8,1,7,1,6,1,29,1,8,1,10,1,24,2,9,1,8,1,13,2,6,1,8,1,11,1,17,1,9,2,6,1,24,1,30,1,29,1,6,1,30,1,8,1,10,1,8,1,13,3,29,1,7,2,13,1,7,1,6,1,8,1,24,1,13,1,8,1,7,1,30,1,7,1,29,1,6,1,13,1,7,1,6,1,7,1,13,1,7,1,6,1,8,1,15,1,12,1,8,1,10,1,7,1,8,1,14,1,12,1,8,1,13,1,6,1,13,1,9,1,8,1,16,1,17,5,9,1,13,1,17,1,12,1,24,1,8,1,6,1,9,1,17,1,15,1,9,2,15,1,8,1,14,3,17,3,16,2,11,1,10,1,17,1,12,1,17,10,11,1,9,1,16,1,9,1,15,1,10,1,24,1,13,1,24,1,13,1,8,2,24,1,9,2,24,1,8,1,12,1,24,1,9,2,13,1,8,1,10,1,12,1,17,1,15,1,17,1,15,1,14,2,15,1,9,1,13,1,7,2,6,1,13,1,24,1,9,1,17,1,8,1,9,3,10,1,9,1,8,1,9,2,11,1,15,1,17,6,9,1,8,1,24,1,13,1,8,1,24,1,8,2,9,1,8,1,13,1,9,1,17,47,9,2,8,5,13,1,9,1,13,3,6,1,29,1,7,1,13,2,9,2,10,1,12,3,17,3,8,1,28,1,30,2,28,9,6,1,9,1,17,13,16,1,17,2,16,3,11,1,16,1,10,1,16,2,11,1,16,9,11,1,16,1,11,1,9,1,16,1,11,1,16,3,11,1,13,2,9,2,11,1,16,2,11,1,16,1,9,2,13,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,11,2,9,2,13,1,9,3,11,1,16,5,9,1,16,1,13,2,9,4,16,7,11,1,16,1,11,8,8,1,9,4,13,1,9,2,11,5,16,2,17,8,16,5,11,1,16,1,9,3,13,3,9,1,13,8,9,1,11,2,16,6,11,1,13,3,6,1,28,2,6,1,28,1,6,1,13,1,6,1,13,3,30,1,6,1,30,1,28,1,13,1,9,1,30,2,6,1,13,2,9,1,13,2,28,1,6,1,28,1,6,1,30,2,6,2,13,2,6,1,13,1,9,5,13,15,11,1,9,1,13,1,9,1,11,1,16,1,11,1,16,1,9,3,11,1,13,2,9,2,13,1,16,6,11,1,16,1,11,1,13,10,6,1,13,4,6,1,13,2,9,2,10,1,16,1,9,1,16,1,17,10,9,2,13,1,8,1,6,3,30,1,6,1,7,1,6,1,13,1,6,1,30,1,7,1,6,3,13,1,9,1,30,1,9,1,13,1,8,2,9,1,10,1,8,1,9,3,13,1,9,2,11,1,12,1,10,1,12,1,11,3,17,1,16,1,12,1,17,1,9,1,17,2,12,1,11,1,17,1,11,2,16,1,11,1,17,2,16,3,17,1,16,1,17,7,16,2,17,2,16,1,17,1,16,1,17,1,9,1,11,1,16,3,17,1,11,1,16,1,10,1,17,1,16,2,9,1,16,4,11,4,16,3,11,3,16,1,11,2,9,1,11,3,16,4,11,1,16,1,11,2,16,2,11,1,10,1,16,1,11,3,9,1,11,1,16,1,11,2,9,1,11,1,9,1,16,1,10,1,16,1,11,1,9,2,16,2,17,1,16,1,11,1,9,1,10,1,11,4,16,2,11,1,8,1,11,1,9,2,11,2,9,3,11,2,16,1,11,3,16,1,9,1,16,1,11,3,10,1,9,2,11,1,16,1,11,2,16,1,11,2,16,2,17,1,16,6,11,1,16,5,11,1,16,1,11,1,17,1,16,4,17,2,16,2,17,1,11,1,17,1,16,2,11,1,16,1,11,1,17,1,11,1,16,3,11,1,16,2,11,2,17,1,16,1,11,3,16,2,11,1,16,9,11,2,17,1,16,1,11,2,16,1,17,2,16,4,17,1,16,1,11,1,16,1,11,1,17,2,16,3,11,3,9,1,16,1,9,1,11,5,9,2,16,1,11,1,9,1,11,1,16,1,11,3,16,1,17,1,16,1,17,3,9,1,8,4,13,1,8,1,11,1,9,2,11,1,10,2,9,2,11,1,9,3,11,3,10,1,16,1,9,1,11,2,16,6,17,1,11,1,9,2,10,1,9,1,8,2,9,1,8,2,13,1,9,3,13,1,8,1,13,1,8,2,13,4,8,1,13,1,8,1,9,1,8,1,9,2,13,1,9,6,10,1,9,8,13,1,9,2,8,2,9,1,13,1,9,2,13,1,9,3,8,1,9,3,8,1,9,1,13,1,9,2,8,1,9,4,11,1,9,5,10,1,9,5,8,1,9,1,11,1,9,7,8,2,9,1,11,1,9,3,8,1,9,2,8,1,9,1,13,2,8,1,11,1,9,2,13,1,11,1,9,1,10,1,9,4,13,1,9,4,13,3,9,3,8,1,9,2,8,1,16,2,13,1,9,1,8,1,9,1,8,1,13,1,9,7,16,1,9,5,11,1,9,2,10,1,9,4,11,1,9,1,8,1,9,1,13,1,9,1,8,1,11,2,9,2,8,1,11,1,8,1,16,1,10,1,9,1,8,1,9,1,8,1,9,1,10,1,9,2,8,1,10,1,11,1,9,5,10,1,11,2,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,2,11,1,9,1,16,2,9,2,11,1,16,1,9,1,11,1,9,1,11,1,9,1,10,1,11,4,9,3,16,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,10,1,9,3,16,1,9,5,8,1,9,2,13,1,8,1,11,1,9,4,10,1,13,1,9,1,13,1,11,1,13,1,16,1,9,2,13,2,9,2,13,1,9,3,8,1,9,3,8,3,10,1,9,1,8,1,13,1,8,1,9,2,13,1,16,1,9,5,11,1,8,1,9,3,10,1,8,1,11,1,8,1,11,1,9,4,11,2,9,2,11,1,9,1,11,1,13,1,16,2,9,1,11,3,16,4,17,3,11,1,16,1,11,1,16,1,9,1,16,3,11,1,9,2,16,1,9,1,8,1,11,1,9,1,11,1,10,1,16,1,11,1,9,1,11,1,9,1,11,1,8,1,16,1,10,1,9,2,11,3,9,1,11,2,8,1,9,1,11,1,9,1,11,2,9,1,16,1,9,2,16,1,8,1,11,1,9,5,16,1,13,1,9,1,11,1,8,2,9,3,13,1,9,2,13,1,9,3,8,1,13,1,8,1,9,1,13,1,8,1,9,1,11,1,13,1,8,1,13,1,9,1,13,1,9,1,8,2,13,2,8,1,13,1,9,7,11,1,8,1,9,1,8,1,9,6,11,1,9,5,13,1,9,3,13,1,9,5,10,1,8,1,9,8,13,1,9,3,10,1,13,1,8,1,9,1,11,1,16,1,9,3,11,1,9,3,13,1,9,2,13,1,9,2,13,2,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,3,8,1,13,2,8,2,13,1,9,1,13,2,8,1,10,1,8,1,9,1,8,1,9,1,10,1,9,1,17,1,11,1,8,1,13,1,9,2,8,1,9,1,13,1,9,2,13,3,8,1,13,6,8,2,13,2,9,3,13,1,9,1,11,1,9,4,8,1,13,2,8,2,9,2,10,1,8,1,9,3,8,1,9,1,8,3,9,2,8,1,9,1,13,1,11,2,8,1,13,1,9,1,8,2,13,3,8,1,13,1,9,1,13,1,9,1,13,2,8,1,13,1,8,1,13,2,8,1,13,2,8,2,9,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,16,1,8,1,11,1,10,2,11,1,10,2,9,3,10,1,11,1,24,1,9,1,10,1,9,2,11,1,9,2,24,1,9,1,24,1,9,2,13,1,9,2,24,1,9,1,8,1,13,1,7,1,13,1,8,2,13,1,6,1,8,3,13,2,9,1,8,1,9,1,8,1,9,1,10,1,9,1,11,1,17,1,11,1,17,3,16,1,17,2,6,1,9,1,10,1,9,3,8,2,13,1,9,3,8,1,9,1,16,1,9,9,11,1,9,1,11,2,9,4,11,1,9,1,11,1,9,4,13,1,10,1,9,2,10,1,9,2,8,1,13,1,8,1,9,1,13,1,9,4,13,1,9,1,13,1,9,1,8,1,9,1,8,1,10,1,8,1,9,1,8,1,9,4,10,1,9,2,13,1,9,3,11,1,9,3,13,1,9,1,13,4,9,3,8,1,9,5,13,1,9,4,16,1,11,1,9,1,11,1,9,3,13,5,8,1,13,1,8,1,13,3,8,2,9,2,10,1,9,3,11,1,9,1,11,1,16,1,11,1,9,1,8,1,9,2,8,3,9,3,13,1,8,1,9,1,11,2,16,1,11,1,16,1,11,2,9,1,11,1,9,2,11,2,9,1,11,2,16,1,10,1,11,1,9,7,11,2,9,1,13,1,9,2,13,1,8,1,9,1,8,2,13,4,9,2,13,2,8,1,9,1,13,3,8,1,13,6,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,2,9,1,13,7,8,1,13,2,8,1,13,12,9,1,13,4,9,4,10,1,9,1,16,1,11,2,16,1,11,2,9,1,11,1,9,7,11,2,16,2,11,2,16,1,17,5,16,1,17,2,16,5,11,1,16,4,11,3,16,1,11,1,16,5,11,3,16,1,11,5,16,1,11,1,10,1,11,2,16,2,11,1,9,3,11,1,16,4,11,1,16,7,11,1,13,1,11,1,9,1,11,2,16,2,10,1,9,2,11,1,16,1,9,1,16,1,17,1,16,1,17,2,16,1,11,1,9,2,6,1,30,1,28,1,6,1,13,2,6,1,28,1,6,1,13,1,33,1,5,280,13,1,30,2,13,1,6,1,28,3,30,1,28,2,30,2,6,1,29,1,13,1,8,1,16,1,17,1,13,1,5,73,33,1,28,3,6,1,16,1,9,3,10,1,9,1,13,1,9,1,13,1,24,1,8,1,12,1,17,3,12,1,9,3,8,1,11,1,9,1,11,1,12,1,11,1,8,1,24,1,17,2,8,1,7,1,13,1,6,1,9,1,8,1,15,1,17,2,12,1,11,1,8,3,13,1,6,1,8,1,13,2,6,1,13,1,6,1,7,1,30,1,8,1,6,1,8,1,13,2,7,1,6,1,13,1,7,1,13,1,7,2,30,1,13,1,8,1,16,1,17,1,16,1,10,1,17,1,8,1,16,1,10,1,17,1,16,1,17,1,10,1,24,1,13,2,6,1,8,1,13,1,12,1,9,1,7,2,28,3,8,2,24,1,7,1,6,1,13,1,12,1,}, {29,3,13,2,8,2,15,1,24,1,8,1,29,1,6,1,28,1,8,1,28,1,30,1,8,1,9,1,12,1,15,1,13,1,7,1,6,3,8,1,17,2,12,1,13,1,6,1,8,1,6,1,13,2,29,1,13,1,24,1,9,1,13,1,7,1,28,1,30,1,8,1,29,1,8,1,6,1,13,3,24,1,8,2,13,1,7,1,29,1,7,1,6,1,7,1,6,2,13,1,8,1,6,2,8,1,9,1,8,1,9,1,10,1,14,3,8,1,13,1,6,1,7,1,24,1,13,1,24,1,10,1,17,1,16,1,17,1,10,1,8,1,9,2,12,1,11,1,10,1,24,1,17,1,14,2,10,1,8,1,10,1,24,1,9,1,17,7,12,1,17,6,11,1,17,5,12,1,17,1,12,1,9,1,16,1,10,1,12,1,9,1,7,1,24,1,13,1,24,2,8,1,13,1,8,2,9,1,8,1,24,2,8,1,24,1,10,1,8,1,12,1,15,1,12,1,15,1,14,1,9,1,14,1,11,1,9,1,13,2,8,3,15,1,9,1,12,1,9,2,11,1,8,2,12,1,24,1,11,1,9,1,11,1,15,1,12,1,17,6,10,1,24,1,9,1,8,1,9,1,8,1,10,1,12,1,10,1,13,1,9,1,17,46,11,1,16,1,9,2,8,2,13,3,8,1,13,2,7,1,13,1,6,1,13,2,24,2,11,1,8,1,10,1,9,1,17,4,8,1,28,12,30,1,9,1,17,12,16,2,17,1,16,5,17,1,11,1,16,1,11,1,16,5,17,1,16,1,11,2,9,1,11,2,16,2,11,1,16,1,11,1,16,1,11,1,10,1,9,5,11,3,16,3,11,1,16,6,11,3,16,1,9,7,11,2,16,5,17,1,16,3,17,1,16,2,11,1,16,9,11,2,16,2,9,7,8,1,13,1,9,2,11,3,9,1,16,3,17,9,16,3,11,1,16,3,11,1,9,2,13,4,9,1,13,7,9,2,11,1,16,7,9,2,13,3,28,1,30,1,28,1,6,2,13,4,6,1,30,4,9,2,6,1,13,1,9,2,13,1,6,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,6,2,13,1,9,5,11,1,9,1,13,2,8,1,13,1,30,1,6,1,13,4,6,1,13,1,6,2,13,1,9,2,13,2,16,1,11,4,9,2,13,1,9,5,11,2,16,1,17,1,16,5,11,1,9,1,6,1,13,5,8,1,13,2,7,1,13,1,7,1,13,4,6,1,9,1,13,1,9,1,11,1,13,1,9,1,16,2,17,9,16,1,13,1,8,1,13,1,8,1,6,2,30,1,7,1,30,1,6,1,29,1,28,1,6,3,30,1,28,1,7,1,13,1,9,2,13,2,9,1,13,1,9,2,8,1,11,1,17,1,10,1,9,4,11,2,17,2,11,1,16,1,17,1,11,1,10,1,12,1,17,1,11,1,17,2,11,1,17,1,16,1,17,1,16,2,9,1,11,1,16,2,17,1,12,1,17,6,11,1,16,3,17,2,16,1,11,1,17,2,16,2,17,1,16,3,11,1,16,1,11,2,9,1,16,2,9,1,16,1,8,1,16,1,11,2,17,1,11,2,16,2,11,1,16,1,11,1,16,1,11,1,16,3,9,1,16,1,17,1,11,2,16,1,9,1,16,1,9,2,11,1,16,4,11,2,9,1,11,2,9,1,11,2,10,1,9,1,11,1,9,1,11,1,9,1,16,4,11,1,16,1,11,2,9,1,11,2,9,2,11,1,16,2,9,2,11,1,16,1,9,1,16,2,11,1,9,1,11,3,16,1,9,2,16,1,9,1,10,1,16,3,11,1,9,1,11,1,9,1,16,1,11,3,16,5,11,1,16,2,11,1,17,1,10,1,16,1,11,1,16,4,11,1,16,6,17,1,16,6,11,1,16,1,11,1,16,1,11,1,17,1,16,2,11,2,16,1,11,2,16,1,10,1,16,1,11,1,9,1,11,1,16,2,17,1,11,1,16,2,11,3,16,2,11,1,16,1,11,2,16,2,17,2,16,8,17,2,16,7,11,1,16,1,11,1,16,1,9,1,11,4,9,1,11,1,9,1,10,1,9,2,8,1,9,4,11,1,9,1,16,2,17,4,9,1,13,1,8,1,6,1,13,2,6,1,9,5,10,1,9,1,10,1,11,1,9,3,16,1,11,3,9,1,16,1,10,1,11,1,16,1,17,3,16,2,8,1,9,4,13,1,8,1,9,1,8,1,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,9,2,8,2,9,2,8,1,13,1,9,1,13,1,8,1,9,2,13,1,8,1,9,1,13,1,9,1,8,1,9,1,8,2,9,3,13,1,9,5,13,1,8,1,9,5,8,1,9,2,13,1,8,1,9,4,8,1,10,1,9,2,8,1,9,5,10,1,9,1,11,1,9,9,10,1,9,1,10,1,9,1,8,1,13,1,9,4,11,1,9,3,8,1,9,1,13,2,9,1,8,1,13,1,9,3,8,1,9,1,16,1,9,2,16,1,13,1,9,4,11,1,13,1,9,1,13,1,9,1,13,2,9,1,8,1,9,1,8,1,9,1,11,2,8,1,13,2,9,1,6,1,13,1,9,1,8,1,9,1,8,3,9,3,11,1,16,1,9,1,10,1,9,1,11,1,9,1,11,3,9,6,10,1,13,1,9,3,11,1,13,1,11,1,9,3,8,1,11,1,9,3,13,1,16,1,9,11,16,3,9,1,16,1,9,1,10,1,11,3,9,1,8,1,9,2,11,1,9,1,16,1,11,1,9,1,11,1,10,1,16,1,11,2,16,1,10,1,9,1,16,1,11,1,9,1,10,1,11,1,16,1,11,2,9,2,11,4,9,1,11,1,9,1,16,1,8,1,9,2,10,1,11,3,9,1,11,2,16,1,8,1,9,2,13,1,9,1,11,1,9,2,10,1,9,2,11,2,7,1,16,1,9,4,16,1,9,1,16,1,11,1,13,1,9,2,13,1,11,1,8,1,9,1,10,1,9,2,11,1,9,3,13,1,9,1,8,1,13,1,9,3,16,1,9,1,8,1,9,1,13,1,9,3,11,1,16,1,9,1,11,1,16,1,11,1,9,2,11,1,9,1,11,1,16,1,9,1,11,1,10,1,9,1,10,1,11,4,9,1,11,1,16,1,11,2,16,2,17,2,11,2,16,4,9,1,11,1,9,2,11,1,16,2,9,2,16,1,11,3,9,1,16,1,9,1,16,2,11,1,9,1,11,1,9,1,16,1,9,1,13,1,11,1,16,2,11,1,9,4,8,2,11,2,9,1,16,1,10,1,16,2,9,1,11,2,9,1,11,1,9,2,8,1,9,5,13,2,9,2,10,1,11,1,8,1,9,1,10,1,9,1,13,2,9,1,13,3,8,1,13,1,9,1,13,1,9,1,13,1,8,2,9,1,13,1,9,7,11,2,13,1,9,1,11,1,9,1,10,1,11,2,9,2,13,1,9,1,11,1,9,10,13,1,9,1,11,1,9,2,16,1,9,4,11,1,9,1,8,1,9,3,8,1,9,2,11,1,10,1,9,2,11,1,16,1,9,1,11,2,9,6,8,2,13,1,8,1,9,2,10,1,8,2,13,1,9,1,13,2,9,1,13,1,9,1,13,2,9,2,13,5,8,2,9,3,10,1,16,1,11,1,17,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,2,9,1,8,2,13,2,6,1,13,1,8,1,13,2,8,2,9,1,13,1,9,1,16,1,10,1,11,1,9,1,8,2,9,1,13,1,9,1,8,1,9,1,13,1,9,5,8,1,9,3,8,1,9,1,8,2,13,1,9,7,8,1,13,1,8,1,9,1,8,2,13,1,9,1,13,2,9,1,8,1,13,1,9,1,8,1,9,1,13,3,9,3,13,2,9,2,13,2,9,1,11,1,16,1,10,1,11,1,9,2,11,1,9,1,11,1,9,1,8,1,9,3,10,1,24,1,10,1,9,4,10,1,8,1,10,1,8,2,10,1,9,3,10,1,9,1,24,1,8,1,6,1,13,3,8,1,9,1,13,1,8,2,9,1,13,1,8,1,24,1,8,1,24,1,13,1,8,1,11,1,10,2,9,1,17,1,11,1,17,1,12,1,17,4,13,1,9,1,10,1,9,4,13,1,9,2,11,2,9,2,8,1,9,1,11,1,8,1,9,3,8,2,9,5,8,1,9,2,11,1,10,1,9,1,13,2,10,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,9,3,8,1,9,1,13,1,9,2,8,1,9,2,8,2,9,1,13,1,9,3,13,2,9,1,13,1,9,2,10,1,8,1,9,1,13,7,8,1,9,2,8,1,9,2,13,1,9,1,11,1,9,4,13,2,11,2,9,2,11,1,9,3,13,1,9,1,8,1,13,2,8,2,13,1,9,2,13,1,9,6,8,1,11,1,9,1,16,1,8,1,13,2,9,3,13,2,9,8,10,1,9,1,11,1,9,2,11,6,10,1,9,2,11,1,10,1,9,10,11,1,9,7,13,1,9,2,13,1,9,1,11,1,13,1,9,1,11,1,9,2,13,1,8,1,9,1,13,1,9,1,13,3,8,1,9,1,13,1,11,1,13,1,8,1,13,2,8,1,9,2,13,3,8,1,13,12,8,1,13,9,8,1,9,2,13,5,9,3,11,1,8,1,9,1,11,1,9,1,13,1,9,1,11,1,9,1,11,1,9,7,8,1,11,1,8,1,9,6,11,1,16,2,17,1,16,1,17,1,16,1,17,2,16,1,17,2,16,1,17,2,16,5,17,1,16,2,17,1,11,1,16,1,11,2,16,1,9,1,16,1,11,1,16,1,11,1,16,4,11,1,16,1,11,1,16,1,11,2,16,1,10,1,16,1,11,1,16,6,11,1,16,4,11,1,16,5,11,3,9,4,11,1,13,1,8,1,13,1,9,2,8,1,9,1,16,2,9,1,6,1,13,1,11,2,6,1,16,1,9,1,13,2,33,1,5,8,33,1,5,268,13,2,28,1,8,1,16,1,28,3,30,2,29,1,30,1,28,1,29,1,13,2,11,1,9,1,11,1,16,1,33,1,5,72,33,1,28,3,13,1,10,1,9,1,8,1,11,1,24,1,11,1,24,1,8,2,7,1,17,1,16,1,17,3,10,1,8,1,24,1,12,1,9,1,17,1,10,2,8,1,24,2,9,1,17,2,8,1,13,1,6,2,8,1,9,1,10,1,17,1,12,2,16,1,9,1,12,1,10,1,9,1,13,1,7,1,6,1,13,4,7,1,6,1,13,1,30,1,9,1,6,2,30,1,13,1,7,1,6,1,13,3,30,1,13,1,9,1,17,3,10,1,12,1,11,1,8,1,17,4,24,1,9,1,13,1,7,1,13,1,7,1,24,1,10,1,12,1,8,1,28,3,30,1,29,1,8,1,13,1,6,2,7,1,10,1,}, {29,1,6,1,29,1,13,1,8,1,9,2,15,2,9,1,29,2,6,4,13,1,9,1,14,1,10,1,13,1,6,1,7,1,6,1,13,1,8,1,24,1,12,1,24,1,13,1,7,1,6,1,7,1,6,1,13,1,28,1,8,2,13,1,29,1,6,1,29,2,6,1,29,1,7,1,29,1,8,1,24,1,13,1,8,2,6,1,8,1,6,1,7,2,6,1,29,1,6,1,7,1,13,2,6,1,8,3,13,1,9,1,15,1,14,2,9,1,13,1,6,1,29,1,8,4,17,3,12,1,9,2,17,1,12,2,9,1,10,1,9,1,17,1,14,2,9,1,8,1,24,1,8,1,11,1,17,8,12,1,17,6,12,1,17,5,11,1,16,1,13,1,15,1,9,1,15,1,24,1,9,1,8,1,9,4,15,1,9,1,8,1,13,1,24,1,8,2,9,1,13,1,10,1,8,1,12,1,17,1,12,1,17,2,14,2,12,1,24,1,8,2,6,1,8,1,24,1,12,1,17,3,12,1,24,1,12,1,17,1,13,1,9,1,16,1,12,2,17,6,16,1,17,1,9,1,10,1,9,1,10,1,11,1,9,1,12,1,9,1,17,1,9,1,11,1,17,41,12,1,17,5,14,1,12,1,13,2,8,1,13,1,6,3,13,2,7,1,29,1,6,1,13,2,8,2,9,3,10,1,16,1,17,3,8,1,28,13,13,1,17,12,16,1,17,3,16,6,11,2,16,1,11,2,16,1,17,1,16,1,9,2,16,1,9,1,16,1,11,1,9,2,16,1,11,1,16,2,10,1,11,1,13,4,9,1,11,1,16,3,11,2,16,9,9,1,11,1,9,3,13,2,9,2,16,3,17,1,16,6,11,2,16,1,9,3,16,1,11,2,16,2,17,1,16,7,9,1,11,1,9,5,11,1,9,1,16,1,11,3,16,2,17,10,16,8,11,1,9,4,13,2,6,1,13,6,8,1,13,1,9,2,11,1,16,1,17,1,16,3,17,1,9,2,13,3,6,1,28,1,30,2,13,6,30,2,28,1,13,1,9,2,16,1,11,1,9,1,13,2,6,1,30,1,6,1,28,2,30,1,6,4,13,1,9,1,13,1,9,3,13,1,9,1,13,2,6,1,13,1,6,2,13,1,30,1,13,1,7,1,13,5,9,2,13,1,9,2,16,3,11,1,9,10,16,2,17,2,16,3,11,1,9,2,13,6,9,1,13,6,30,1,13,1,6,1,13,2,6,1,9,4,11,1,9,1,10,1,17,1,16,1,17,7,11,2,9,1,13,2,7,1,30,1,29,1,30,1,6,1,28,1,6,1,29,1,30,1,29,1,30,1,6,1,7,1,13,1,7,1,13,3,7,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,9,3,11,2,10,1,11,1,17,1,12,1,11,1,17,2,16,1,17,1,10,1,17,2,16,2,17,1,9,1,11,1,16,1,17,2,16,1,17,1,16,1,17,1,9,1,17,9,16,3,17,1,11,1,16,6,17,1,16,3,11,1,16,1,17,1,9,1,11,1,16,2,11,3,9,1,16,2,11,4,9,1,16,1,11,2,17,1,11,1,17,1,16,1,11,1,16,2,11,1,17,1,16,1,9,1,17,1,16,1,11,1,17,1,10,1,16,1,9,1,11,1,9,2,11,1,9,2,11,1,16,1,11,2,16,1,11,2,10,1,11,2,17,1,9,1,10,1,11,1,9,1,11,1,9,1,16,1,11,1,10,1,16,1,9,1,11,1,16,1,10,1,16,1,9,1,11,1,16,1,9,2,11,2,16,1,11,1,10,1,16,1,11,1,9,1,11,2,16,1,9,2,11,4,16,3,11,1,16,1,11,2,16,4,11,3,16,3,11,1,16,5,11,2,10,1,16,1,17,3,16,1,17,2,11,1,16,3,17,1,16,1,11,1,16,1,11,4,16,1,11,1,16,1,11,1,16,1,11,2,17,1,11,1,9,2,11,2,16,3,11,4,16,1,11,2,16,5,17,1,16,5,17,1,16,1,11,1,17,2,16,2,11,1,16,7,11,1,9,1,11,3,16,1,9,1,13,1,9,1,11,1,9,2,16,1,9,6,16,1,11,1,16,1,17,4,8,1,9,1,10,1,13,3,6,2,8,1,9,1,13,1,11,2,9,1,11,3,10,1,11,1,9,1,11,2,9,1,11,1,9,2,16,2,11,1,16,2,11,1,8,1,9,1,11,1,9,1,13,1,8,1,13,1,8,1,9,5,13,1,9,1,13,2,9,3,13,1,9,2,13,1,8,2,13,1,9,1,13,1,8,3,13,1,9,1,8,1,9,4,8,1,9,2,13,1,9,2,13,1,9,2,8,1,9,2,13,1,9,4,13,1,9,1,8,1,9,4,8,2,9,1,11,1,9,4,13,1,8,1,9,5,10,1,13,1,9,3,11,1,8,1,9,2,11,1,9,3,11,1,8,1,13,1,11,1,13,1,9,8,8,1,9,8,11,2,9,2,11,1,9,1,10,1,11,1,9,1,11,1,9,3,13,1,11,1,9,4,10,1,11,1,17,1,11,1,9,2,16,1,11,1,8,1,13,1,9,2,13,1,10,1,9,1,8,3,9,1,8,1,9,1,8,1,11,1,9,5,11,1,9,6,10,1,9,1,10,1,9,1,8,1,10,1,9,1,10,1,9,1,11,2,16,1,11,2,10,1,11,1,9,1,11,4,16,1,9,1,16,1,8,1,9,1,13,1,9,2,11,4,10,1,16,1,11,1,10,1,16,1,9,1,11,1,10,1,9,1,8,1,9,1,11,1,9,4,11,1,9,3,11,1,9,2,16,1,9,2,16,2,11,1,9,1,10,1,11,1,9,2,11,1,9,2,16,1,11,1,9,1,11,1,9,2,16,1,11,2,10,1,9,1,11,1,10,1,9,2,13,1,11,1,13,1,9,1,13,1,11,2,10,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,10,1,16,1,11,1,9,1,16,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,13,1,9,4,11,3,9,3,17,1,9,1,11,1,16,1,11,1,16,4,11,1,16,3,11,1,16,1,11,4,16,2,11,1,13,1,16,2,10,1,16,2,11,1,17,1,16,2,17,3,16,2,11,1,16,3,10,1,16,2,9,2,11,1,9,1,11,1,16,2,9,2,16,1,17,1,8,1,9,1,8,1,11,1,9,1,11,2,16,4,9,1,16,1,11,1,9,2,16,1,9,1,11,1,16,1,11,2,16,2,10,2,11,2,10,2,9,1,11,1,9,1,10,1,9,8,10,1,9,3,11,1,9,5,8,2,13,1,9,2,8,1,13,2,9,1,13,2,9,2,13,1,9,1,13,1,9,1,8,1,9,2,13,1,8,1,9,2,10,1,9,3,11,1,8,1,11,2,8,1,11,2,9,1,10,1,8,1,9,1,8,1,13,1,11,1,13,1,9,2,11,1,9,2,10,1,9,1,11,1,10,1,9,2,10,1,11,1,9,1,16,1,8,1,9,1,8,1,9,3,11,1,9,1,11,1,9,2,16,1,10,1,9,1,8,1,11,1,8,1,9,3,11,1,9,2,13,1,9,3,13,4,9,2,13,1,8,1,13,1,10,1,9,3,13,1,9,2,8,1,9,1,13,1,8,2,11,1,9,2,8,1,9,2,17,1,9,1,8,1,11,1,9,1,13,2,9,1,8,1,13,1,8,2,9,1,13,5,8,1,13,5,9,1,13,1,8,1,9,2,8,1,13,1,8,1,13,2,8,1,13,2,8,1,13,1,8,1,13,1,9,4,8,1,11,1,13,4,9,1,8,1,9,3,8,1,9,1,8,1,13,1,9,2,13,1,9,1,8,2,9,1,8,1,13,1,8,1,9,2,13,1,8,1,13,1,8,2,9,2,13,2,8,1,9,4,13,1,9,2,11,1,17,1,10,1,12,1,11,1,10,1,8,1,9,1,11,1,9,1,12,1,24,1,12,1,10,1,13,1,8,1,9,1,24,1,11,1,13,1,9,1,24,1,10,1,9,1,24,1,10,1,9,1,8,2,13,1,24,1,8,1,9,1,8,1,13,1,24,1,8,1,9,2,13,1,10,1,8,1,24,1,13,1,24,1,13,1,24,1,9,1,10,1,8,1,24,1,9,3,11,1,9,1,10,1,17,1,11,1,10,1,12,1,17,3,12,1,7,1,9,6,10,1,9,2,11,1,13,1,8,1,9,4,8,1,9,3,16,1,8,1,13,1,9,1,8,2,9,1,8,2,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,9,2,8,1,13,1,9,1,6,1,8,1,13,1,8,2,9,2,13,1,9,3,13,2,9,1,13,4,9,1,8,1,9,2,8,1,13,3,9,2,11,1,13,2,9,1,8,1,13,1,9,1,13,5,9,4,11,1,9,1,13,1,9,1,8,2,13,1,9,2,13,1,9,1,13,1,8,2,9,3,13,1,8,1,13,1,8,1,13,2,9,1,13,1,9,2,8,1,9,1,13,1,9,7,8,1,13,1,9,1,13,1,9,2,8,2,9,1,13,3,8,1,13,1,9,2,11,1,10,1,11,1,9,3,10,1,9,1,11,4,9,1,11,1,9,1,11,1,9,1,11,1,9,5,11,1,9,6,13,1,9,7,13,1,9,1,13,1,9,2,10,1,9,3,8,2,9,3,13,2,9,3,13,1,9,2,13,2,9,1,8,1,9,2,11,2,9,2,8,1,9,2,13,1,8,1,9,3,13,1,9,1,13,4,8,1,6,1,8,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,9,1,13,1,10,1,9,4,13,1,11,1,8,2,9,2,8,1,11,1,9,6,8,1,9,3,8,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,2,16,1,9,3,11,1,9,1,11,1,9,1,16,4,11,1,16,1,17,8,16,1,17,2,16,3,17,1,16,2,17,1,16,1,11,1,16,3,17,1,16,1,11,1,16,1,11,1,9,2,16,2,11,1,16,3,11,2,16,2,9,1,17,1,11,3,16,2,11,2,16,1,11,2,9,1,11,1,9,1,11,1,9,2,8,1,13,4,8,1,9,4,8,1,9,3,11,1,16,2,13,1,6,1,30,3,28,1,6,1,13,2,11,1,9,1,17,3,16,1,5,3,33,3,5,258,13,2,30,1,13,1,9,1,29,4,7,2,29,1,13,1,6,1,13,1,6,1,9,1,17,1,16,1,17,2,5,72,33,1,28,3,8,2,9,1,8,1,11,1,9,1,24,2,13,1,8,1,9,1,12,1,17,4,12,1,8,4,24,1,10,1,9,1,24,2,9,1,10,1,17,2,9,1,8,1,6,1,13,1,6,1,24,2,17,4,12,1,11,1,10,1,13,1,8,2,13,2,7,1,30,1,8,1,6,2,9,1,6,1,13,2,8,1,13,1,7,1,6,1,13,2,8,1,30,1,6,1,28,1,11,1,17,3,9,1,12,1,11,1,10,1,17,1,12,1,17,1,12,1,17,1,8,1,6,1,13,1,7,1,13,1,9,1,12,1,10,1,8,1,28,3,6,1,30,1,9,1,13,2,30,1,24,2,}, {6,1,29,1,13,3,24,1,9,3,13,1,6,2,30,1,6,1,13,1,6,2,15,1,12,2,13,1,7,2,30,1,13,2,17,1,9,2,8,1,6,2,7,1,6,1,28,1,7,1,13,1,9,1,6,1,13,1,6,2,13,1,29,1,8,1,13,1,30,1,6,1,24,2,29,1,6,1,8,2,6,1,29,1,30,1,13,1,8,2,13,1,29,2,6,1,13,1,9,1,24,1,9,1,8,1,24,1,14,2,9,1,29,1,7,1,13,1,6,1,30,1,13,2,9,1,17,2,24,1,9,1,8,1,11,1,8,1,12,1,10,1,12,1,8,1,17,1,14,3,8,1,9,1,8,1,15,1,17,5,12,1,10,1,16,1,8,1,16,1,17,3,16,1,17,7,11,1,16,1,12,2,15,1,8,1,10,1,9,1,8,1,9,3,24,1,10,1,8,1,15,1,10,1,8,1,13,1,8,1,24,1,9,1,8,1,9,2,12,1,14,1,17,2,14,1,17,1,15,1,13,1,8,2,24,2,9,2,17,2,11,5,8,1,13,1,8,1,17,1,9,1,12,1,17,8,12,2,11,1,9,2,17,1,12,1,17,1,12,1,11,1,17,38,9,2,13,1,8,1,17,5,16,1,12,1,8,1,13,1,10,1,13,1,8,1,13,3,7,1,8,2,13,1,29,1,24,1,8,1,9,1,24,2,10,1,9,1,10,1,16,1,17,2,13,1,30,1,28,4,30,1,28,7,7,1,16,1,17,2,16,2,17,5,16,10,11,1,16,2,11,1,9,1,11,1,16,1,11,1,16,2,11,3,9,1,11,2,16,1,11,3,16,2,11,1,16,1,9,2,13,2,9,3,8,1,11,3,16,9,11,2,9,1,13,3,9,1,11,1,16,4,17,1,16,3,11,1,16,1,9,1,13,2,6,3,13,1,9,3,16,2,11,1,16,1,11,1,16,2,11,4,9,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,16,8,17,6,16,4,11,1,16,7,9,2,13,2,9,1,13,7,8,1,9,1,13,1,9,1,16,7,11,1,13,1,9,1,13,2,6,1,28,2,30,1,9,2,13,2,30,1,6,2,28,1,6,1,13,1,11,3,9,1,13,2,28,1,30,3,28,1,30,1,6,1,30,1,6,1,13,1,9,1,11,1,9,6,13,4,6,3,28,1,13,1,6,1,13,1,6,1,13,3,9,5,11,2,16,1,11,1,9,5,13,1,9,2,11,1,9,1,11,1,16,1,17,3,16,4,9,1,13,5,8,1,13,2,9,1,13,2,6,1,13,1,7,1,13,6,9,1,13,2,11,1,16,1,11,1,16,1,11,2,16,2,17,3,16,1,17,2,16,2,11,2,29,1,6,1,7,1,30,1,7,1,30,1,6,1,30,1,29,1,28,1,30,1,6,2,13,1,7,1,6,1,13,1,7,1,13,1,8,2,13,1,6,1,13,1,8,2,9,1,11,1,13,1,17,1,9,1,11,1,9,2,8,1,16,1,12,1,17,1,16,2,17,2,11,2,16,2,17,2,11,1,17,1,16,3,12,1,11,1,10,1,11,2,17,8,16,3,17,1,16,4,11,1,16,4,11,3,16,3,9,1,16,1,9,1,11,1,16,1,11,2,16,1,11,3,16,1,11,2,16,1,11,6,9,1,11,1,9,1,16,2,11,2,16,1,11,1,10,1,11,1,16,1,9,1,11,2,16,1,10,1,9,1,11,1,9,1,10,1,11,7,16,2,11,1,9,1,11,4,9,2,11,1,9,1,16,1,11,1,9,1,11,5,9,2,16,1,9,1,11,1,10,1,11,2,10,1,11,1,16,1,9,1,11,1,9,1,16,1,11,5,9,2,16,2,11,3,16,2,11,2,16,4,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,3,11,1,16,3,17,1,11,1,17,1,16,2,11,1,16,1,11,1,16,1,11,2,16,1,9,1,17,1,11,1,16,6,11,2,16,2,11,1,16,1,11,1,16,4,17,1,11,1,16,1,11,2,16,5,11,1,16,4,11,1,16,1,17,1,16,2,17,1,16,1,11,1,16,4,11,1,10,1,16,1,11,1,16,1,10,1,16,1,11,1,9,1,11,1,16,1,9,2,11,1,9,1,11,1,9,5,11,1,9,1,11,1,16,1,11,2,16,1,17,4,13,1,11,1,9,1,8,1,13,5,9,1,16,1,11,4,9,2,10,1,11,1,16,3,11,1,9,2,11,1,16,2,11,1,17,1,10,1,8,1,9,3,13,1,9,2,8,1,13,1,9,4,13,2,9,5,8,3,13,1,9,2,8,3,9,2,11,1,13,1,9,1,8,2,13,1,9,1,13,1,9,1,13,2,8,1,9,5,11,1,9,1,8,1,9,4,11,1,9,2,10,1,9,1,11,1,9,3,16,1,11,2,9,3,8,1,9,1,16,1,11,1,9,7,11,1,9,3,11,1,9,1,8,1,11,2,9,1,10,1,13,1,9,2,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,11,2,9,2,13,1,9,1,10,1,9,2,11,1,9,6,13,1,9,1,13,1,9,2,11,2,16,2,13,1,11,1,10,1,13,3,8,1,9,3,8,1,9,1,8,1,13,1,9,4,11,1,9,3,13,1,9,1,10,1,9,1,8,1,11,1,9,2,16,1,8,1,11,1,9,5,16,1,11,1,10,1,9,1,11,1,16,1,11,1,16,1,9,2,8,1,9,1,13,1,9,2,16,1,10,1,9,1,16,1,13,1,16,1,11,1,9,2,16,3,11,1,9,1,11,2,9,2,16,2,11,1,13,1,9,1,8,1,11,2,9,1,11,1,9,3,8,1,9,1,11,2,8,1,16,1,11,2,9,1,16,1,9,1,10,1,11,1,9,1,16,1,11,1,9,3,11,1,9,1,16,1,8,1,9,1,11,1,9,4,16,1,9,4,11,1,16,1,11,2,10,1,9,3,16,1,9,1,11,1,9,3,8,1,16,3,11,1,16,1,9,2,16,1,9,1,16,1,9,2,11,1,16,1,9,5,16,1,11,5,9,1,16,1,9,1,11,1,16,1,17,1,11,1,9,1,10,1,16,1,11,1,16,5,11,5,16,1,17,1,9,1,16,1,9,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,9,1,16,1,11,1,16,3,17,1,11,1,17,1,16,3,11,1,16,5,11,1,17,1,11,1,16,2,11,1,16,5,11,1,9,1,11,4,16,3,11,1,17,1,16,1,11,1,16,1,11,1,16,2,11,1,9,1,16,2,11,3,16,2,8,1,16,1,11,1,10,1,9,2,11,1,9,2,11,1,9,2,11,1,9,2,11,3,10,1,9,4,11,1,8,1,9,2,10,1,13,1,9,2,13,2,8,1,13,1,9,1,8,1,13,1,9,1,8,2,9,1,13,1,9,5,10,1,9,1,8,1,9,2,11,1,10,1,9,1,11,1,9,4,10,1,9,1,10,1,9,4,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,9,1,10,1,9,6,10,1,11,1,9,1,16,1,9,6,10,1,9,1,11,1,9,1,11,1,9,3,8,1,9,1,13,1,9,1,8,1,13,1,8,1,9,2,8,1,9,1,8,2,13,1,9,1,13,1,9,2,11,1,13,1,9,3,8,1,13,1,9,1,13,1,8,1,9,1,11,2,9,2,17,1,11,1,9,3,8,2,9,1,13,1,9,1,13,1,9,1,8,2,13,1,9,1,13,3,9,2,13,2,9,1,13,3,7,1,8,1,9,1,13,2,8,1,13,4,8,2,13,1,8,2,9,3,8,1,9,1,8,2,13,1,8,2,9,2,8,2,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,9,1,13,2,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,8,3,13,2,9,1,8,1,13,1,9,1,8,1,9,1,17,2,11,2,10,1,9,2,10,1,9,2,8,1,9,3,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,8,1,10,1,24,1,9,1,8,2,24,1,8,1,24,3,9,1,8,1,9,1,8,1,13,1,10,1,24,1,9,1,8,2,24,1,13,1,8,2,24,1,9,3,24,1,8,1,10,2,12,1,9,1,11,1,17,1,9,1,10,1,11,1,17,3,13,1,9,1,11,1,9,2,8,1,10,1,9,3,11,1,9,4,8,1,9,6,16,1,11,1,9,3,11,1,9,1,13,1,8,1,9,1,13,1,9,3,8,4,9,1,8,1,9,1,8,3,13,3,9,1,8,1,13,1,9,1,13,2,9,2,13,5,6,1,13,2,9,2,8,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,13,8,8,1,9,1,8,3,13,1,9,1,13,3,9,1,13,2,9,1,13,3,8,1,13,4,8,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,8,2,13,2,8,1,9,1,10,2,13,1,9,1,13,1,9,1,13,1,11,1,9,1,13,3,8,1,9,4,11,1,9,1,11,8,16,3,11,1,16,2,11,1,10,1,11,1,9,1,16,1,9,2,11,1,8,1,9,1,11,1,9,1,8,1,9,6,11,1,9,1,10,1,9,3,13,1,11,1,9,2,11,2,9,1,11,1,9,1,11,1,10,1,9,3,8,1,13,1,9,2,13,1,9,1,13,1,9,1,13,1,8,1,9,2,13,2,9,1,8,1,9,3,11,1,9,2,13,1,10,1,9,2,13,1,9,1,8,2,13,2,8,1,13,2,9,4,13,2,9,1,8,1,9,3,13,1,9,3,13,2,9,1,13,1,11,2,9,8,8,1,9,3,8,1,9,2,13,1,9,1,8,1,9,8,13,1,9,1,13,1,8,1,13,1,9,1,13,1,11,3,9,1,16,2,17,2,16,1,17,1,16,1,17,1,16,1,17,4,16,1,17,10,16,1,17,1,16,2,17,2,16,9,11,1,16,1,11,2,16,1,10,1,11,5,9,1,11,1,9,2,11,1,10,1,8,1,9,1,13,1,9,3,8,1,9,2,13,1,9,1,13,3,8,1,9,2,13,3,6,1,30,1,28,5,13,4,9,1,16,1,11,1,16,1,17,1,16,1,5,2,33,6,5,250,33,1,30,1,28,1,30,1,10,1,13,1,6,1,8,1,13,1,6,1,30,1,28,1,13,1,7,1,13,1,9,2,17,5,5,72,28,3,9,3,8,1,13,1,10,1,9,2,8,1,13,1,24,1,9,1,17,6,8,1,9,1,8,1,24,2,12,1,9,1,8,1,9,1,24,1,17,2,9,1,6,2,29,1,7,1,8,1,17,2,16,2,9,1,10,1,24,2,8,1,13,3,6,2,24,1,13,2,8,4,13,2,8,1,13,1,6,1,7,1,8,2,29,1,6,1,13,1,9,1,16,1,17,2,12,2,13,1,9,1,17,4,10,1,13,2,8,1,13,1,9,1,12,2,9,1,8,1,28,2,30,1,6,1,8,1,9,1,7,2,6,1,24,1,8,1,}, {29,1,6,2,8,1,24,1,8,1,9,2,15,1,24,1,7,1,6,4,29,1,7,1,12,1,17,1,8,1,13,1,8,1,7,2,30,1,13,1,17,1,11,1,8,1,24,1,29,1,13,1,6,1,30,1,13,1,7,2,12,1,24,1,6,2,30,1,6,1,8,1,6,1,29,1,7,1,13,2,8,1,24,1,13,1,7,1,13,1,6,1,13,1,29,1,6,1,7,1,13,1,30,1,6,1,29,1,6,1,8,3,24,1,9,1,10,1,9,1,14,1,8,1,7,1,29,1,8,1,30,1,8,1,7,1,6,1,8,1,17,1,12,1,9,2,8,1,9,2,10,1,12,1,9,1,8,1,12,1,17,2,13,1,24,1,9,1,24,1,9,1,17,5,9,2,10,1,11,1,17,12,11,1,10,1,12,1,11,1,17,1,10,1,15,1,11,1,15,1,10,3,12,1,8,1,24,1,9,1,24,1,13,1,10,1,9,1,8,1,9,1,8,1,10,1,17,3,16,1,17,1,14,3,8,1,24,1,13,1,8,1,9,1,14,1,17,3,12,1,11,1,13,1,9,2,11,1,10,2,9,1,17,1,12,1,17,8,11,1,17,1,10,1,11,1,12,1,17,1,12,1,17,2,12,1,17,36,16,1,11,1,6,1,13,1,7,1,11,1,10,1,17,1,12,1,17,1,10,1,15,1,11,1,13,1,8,3,13,7,7,1,6,1,8,1,13,2,10,1,9,2,13,1,12,1,17,1,16,1,12,1,13,1,29,1,28,13,17,9,16,3,17,1,16,4,17,1,16,4,11,3,16,3,11,1,16,2,11,2,16,1,9,5,11,2,16,1,9,3,13,5,11,1,9,5,16,10,11,1,16,3,17,3,16,1,17,1,16,4,11,2,9,1,13,7,9,1,13,2,9,3,11,3,16,1,11,1,16,3,11,4,16,1,11,1,16,2,11,1,16,3,17,1,16,2,17,2,16,1,17,3,16,3,9,1,11,2,16,1,11,1,16,1,11,1,16,1,11,3,9,1,13,5,9,1,13,3,9,1,13,2,9,2,16,8,13,1,11,1,13,2,28,1,13,1,6,3,13,2,6,1,13,3,9,1,11,2,9,3,13,1,30,2,28,4,6,2,13,3,9,2,13,1,9,2,13,1,9,2,13,3,6,1,13,1,6,6,13,3,9,1,11,1,9,2,13,1,9,1,11,1,16,3,9,3,13,1,9,5,16,1,9,1,16,3,17,2,16,2,9,1,11,2,13,3,6,1,13,12,7,1,13,1,8,1,13,2,9,1,8,1,13,1,9,1,13,1,9,1,11,1,16,2,11,1,16,1,17,8,11,1,6,1,29,1,7,1,6,2,29,1,30,1,29,1,6,1,29,1,6,1,13,1,6,2,30,1,13,2,6,1,13,2,6,1,30,1,8,1,6,1,8,1,9,1,13,1,9,3,8,1,9,2,10,1,11,1,9,1,11,2,16,1,17,2,11,1,17,2,12,1,17,1,12,1,16,1,17,2,13,1,16,1,12,1,16,1,17,1,11,2,10,1,17,1,11,1,17,7,16,1,17,1,16,4,17,1,16,1,17,1,16,4,11,1,16,1,11,1,16,2,11,1,16,1,11,1,9,2,16,2,11,1,9,1,11,1,16,1,11,1,16,1,10,1,9,1,11,3,9,2,11,2,16,1,11,1,16,1,11,1,16,1,9,1,16,2,11,2,16,1,11,2,16,1,11,1,16,1,9,1,11,1,9,1,11,1,13,1,11,2,9,1,11,1,16,2,11,6,16,1,11,1,9,2,11,3,16,1,11,2,9,1,11,1,9,2,16,1,9,3,16,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,9,1,10,1,9,1,10,1,16,2,11,2,16,2,11,1,9,1,17,1,11,3,16,1,11,2,16,5,11,1,16,3,11,1,16,1,11,1,17,1,16,1,17,1,16,2,17,1,11,2,16,1,17,1,16,3,9,1,17,2,16,1,11,1,9,1,11,2,17,1,11,2,16,1,11,4,17,1,16,1,11,2,16,1,11,2,9,2,16,1,10,1,17,1,16,2,9,1,16,2,11,1,16,1,11,3,16,1,11,2,16,1,11,2,17,3,16,3,11,1,16,2,11,1,16,2,9,1,16,1,11,4,9,1,11,1,9,3,11,1,9,4,11,1,9,2,11,2,16,1,17,6,11,2,9,2,6,1,13,5,9,2,11,2,16,2,9,1,10,1,11,1,16,1,11,1,9,2,16,2,11,2,9,1,16,1,9,1,13,1,10,1,9,1,11,1,13,1,11,1,9,2,8,1,9,3,13,1,11,1,9,1,13,1,8,1,13,1,9,2,13,1,8,1,9,1,13,1,8,3,13,2,9,5,11,1,10,1,11,1,9,1,8,1,9,1,13,1,9,4,8,1,9,1,11,1,10,1,9,2,11,1,9,1,10,1,9,3,11,1,16,1,10,1,9,1,10,1,9,1,13,1,9,1,10,1,9,3,10,1,11,1,9,2,11,1,9,2,10,1,9,1,16,1,11,1,9,3,11,2,9,1,11,1,9,1,11,2,9,2,8,1,9,3,11,2,9,2,11,1,10,1,9,5,8,1,16,1,9,1,11,1,9,1,11,2,9,3,8,1,10,3,9,1,8,1,11,1,8,1,9,3,13,1,9,2,16,2,9,2,8,1,9,2,13,1,8,1,9,4,8,2,9,1,13,2,9,1,13,1,9,1,11,1,9,1,13,1,9,2,13,1,9,1,13,1,9,2,11,1,13,3,9,4,11,1,9,1,11,1,9,3,10,1,9,2,11,1,9,1,16,1,9,6,11,1,16,1,9,1,8,1,9,1,11,1,9,2,11,3,9,1,11,3,9,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,2,9,1,16,1,11,1,16,1,11,1,16,4,17,2,16,1,11,1,16,1,10,1,9,1,16,1,11,1,16,1,10,1,9,1,16,1,11,1,9,1,11,1,9,3,11,2,9,1,16,1,11,1,9,3,8,1,9,3,11,1,8,1,11,1,13,2,9,1,8,1,9,1,8,1,10,1,9,1,13,1,9,6,11,1,9,3,11,1,9,1,10,1,9,1,11,2,9,1,10,1,9,4,16,1,10,1,9,1,8,1,9,3,16,1,17,1,16,2,11,1,16,1,11,2,9,1,16,1,11,2,16,4,10,1,11,1,16,2,11,1,16,1,9,1,16,3,11,1,9,1,11,1,16,2,11,2,16,3,17,3,16,6,17,1,11,1,17,1,11,3,16,2,17,1,11,1,16,1,17,1,16,1,11,1,16,2,11,1,10,1,11,1,9,1,16,4,11,2,16,3,9,1,16,1,11,1,16,1,17,1,9,1,16,1,17,1,16,1,11,1,16,1,9,1,17,1,9,1,16,1,11,1,16,1,9,3,16,1,11,1,9,2,11,1,9,1,11,3,8,1,9,1,10,1,11,1,9,1,10,1,11,1,9,11,11,1,9,1,13,1,9,3,13,2,9,2,8,1,9,2,13,1,8,1,13,1,11,1,9,4,16,1,10,1,9,7,10,1,8,2,9,1,13,1,16,1,11,1,10,1,16,1,10,1,9,1,16,1,8,1,11,1,8,1,9,3,11,1,9,2,16,1,9,2,11,1,9,1,11,1,9,8,11,1,8,1,9,3,8,1,13,1,8,1,9,1,13,1,9,4,8,2,9,1,8,1,9,1,13,1,9,5,8,1,13,1,9,1,13,1,8,2,9,3,11,4,17,3,16,1,11,1,9,1,13,1,9,1,13,2,8,1,13,1,9,1,13,1,8,1,13,2,9,1,8,1,13,1,9,1,13,2,8,1,13,4,8,1,13,4,8,1,13,4,8,1,13,2,8,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,13,2,8,1,9,1,8,4,9,1,6,1,9,1,13,2,8,4,9,1,13,1,9,2,13,1,8,1,9,1,8,1,13,1,9,2,8,1,13,3,9,3,8,1,11,1,10,1,17,1,11,1,12,1,11,2,10,2,8,1,11,1,9,3,13,2,24,1,8,1,9,1,8,1,10,1,24,1,13,1,9,1,8,1,24,1,8,2,9,1,24,2,13,1,8,1,24,2,13,1,8,2,24,1,13,1,8,5,13,1,24,2,8,4,9,1,8,1,13,1,9,1,10,1,24,1,8,1,10,1,8,1,9,1,24,1,11,1,10,1,9,1,17,3,11,1,13,1,10,1,9,26,13,2,8,1,13,1,9,1,13,1,9,1,8,2,13,1,9,1,8,1,13,2,8,2,9,1,13,1,8,3,9,2,10,1,13,1,9,3,13,2,6,1,13,1,8,2,13,1,8,2,9,1,8,2,13,2,8,1,13,1,8,1,13,4,9,1,13,6,9,1,13,1,8,2,13,2,8,3,13,5,8,1,13,3,8,3,9,1,8,1,13,5,8,1,9,1,13,3,8,1,9,1,13,1,8,2,10,1,16,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,6,1,13,2,8,1,13,4,9,2,11,5,9,1,10,1,11,1,9,1,11,1,16,2,11,2,16,1,11,1,10,1,11,1,9,4,11,1,9,3,16,1,9,3,13,1,11,1,9,1,11,1,9,2,11,2,9,9,8,1,9,4,11,1,9,1,13,2,9,2,13,1,9,1,13,2,9,1,13,2,9,3,13,2,9,1,8,2,9,1,13,4,9,6,13,1,9,2,8,1,13,1,10,1,13,1,11,1,9,1,11,1,9,6,11,1,9,4,8,1,11,1,9,2,16,1,9,2,10,1,9,7,8,1,13,1,9,4,13,1,9,1,8,1,9,2,13,1,9,1,8,2,9,10,11,1,9,2,11,1,9,1,16,1,10,1,16,1,9,1,11,1,16,2,11,1,16,2,17,1,16,1,17,12,16,2,17,1,16,4,17,2,11,1,16,1,11,1,16,3,17,1,16,1,11,1,9,1,11,2,16,1,11,1,16,1,11,2,10,2,11,3,9,3,13,1,9,1,13,1,9,3,13,1,9,1,13,1,9,1,13,3,7,1,13,5,6,1,13,4,28,1,30,1,6,1,8,1,13,2,9,3,16,2,17,3,11,1,16,3,5,248,33,1,28,3,17,1,13,1,6,1,13,2,7,1,13,1,7,1,30,1,6,2,29,1,10,1,17,6,16,1,5,69,33,1,28,2,6,1,13,1,11,1,9,2,8,3,6,2,7,1,8,1,10,1,17,2,12,1,17,1,12,1,9,2,8,1,24,1,8,1,12,1,8,1,9,1,12,2,17,2,10,2,6,1,13,2,8,1,11,1,8,1,11,1,17,2,12,1,8,1,24,1,12,1,24,1,13,5,8,3,13,1,8,2,13,1,9,1,29,1,6,1,7,1,8,1,13,1,9,1,13,2,8,1,7,1,9,1,17,2,16,1,12,1,11,1,9,1,10,1,17,3,16,1,9,2,24,2,8,1,10,3,9,1,13,1,28,2,30,1,29,1,10,1,8,1,13,1,6,1,7,1,8,1,13,1,}, {6,1,28,1,13,1,8,2,9,1,10,1,14,1,15,1,8,1,7,1,6,1,28,1,6,1,29,1,13,1,8,1,10,1,17,1,10,1,13,1,6,1,13,1,6,1,29,1,24,1,12,1,17,1,9,1,8,1,13,3,29,1,6,1,29,1,9,1,24,2,13,1,6,2,7,1,13,1,6,2,29,1,13,2,8,1,24,1,8,1,7,2,13,1,9,1,28,1,8,1,29,1,7,1,30,1,13,1,6,1,13,2,24,1,8,1,24,1,12,1,11,1,10,1,14,1,9,1,7,1,6,2,29,1,13,1,29,1,8,1,12,1,17,1,11,1,10,1,9,2,8,1,17,1,12,1,10,1,9,1,8,1,12,1,17,1,10,1,15,1,24,1,8,2,17,6,11,2,9,1,11,1,10,1,17,11,16,1,11,1,16,1,9,1,12,2,15,1,12,1,15,1,9,1,8,2,9,1,24,2,13,2,7,1,10,1,24,1,9,1,10,1,8,1,9,1,17,6,14,1,12,1,9,1,14,1,8,1,10,2,15,1,11,2,16,2,11,1,17,1,9,1,16,1,11,1,9,1,24,1,14,1,12,1,16,1,17,1,16,1,17,5,16,1,17,1,16,1,12,1,16,3,12,1,17,2,16,1,17,26,16,1,17,9,12,1,9,1,6,1,7,1,13,1,8,1,12,1,10,1,12,1,17,1,12,2,9,1,24,1,8,2,13,1,8,1,6,1,7,1,13,1,7,1,6,1,8,1,6,1,7,1,13,1,6,1,8,3,10,1,17,1,12,1,16,1,17,2,13,1,30,1,28,13,11,1,17,3,16,1,17,4,16,8,17,1,16,3,11,4,16,4,11,1,16,1,9,1,16,1,17,1,9,6,16,1,11,2,16,1,9,2,13,2,11,1,8,1,9,1,13,1,9,1,13,1,9,2,16,1,11,1,16,1,11,1,17,1,16,2,17,3,16,1,17,1,16,2,17,1,16,6,9,1,11,1,9,2,13,1,9,2,13,2,6,1,13,2,8,1,9,1,13,4,10,1,11,1,16,6,11,1,16,1,11,1,9,3,16,1,11,1,16,8,17,1,16,2,17,1,11,1,9,1,16,2,9,1,11,1,9,3,11,1,9,1,16,3,9,1,16,1,9,2,13,2,9,1,13,1,9,1,13,1,9,3,8,1,13,2,11,1,16,6,11,1,9,2,13,3,28,1,30,1,13,3,9,1,13,3,9,1,11,3,9,1,13,2,30,2,28,1,6,1,28,1,30,1,13,1,6,1,30,1,13,2,11,1,9,2,11,1,9,2,13,6,6,1,13,2,6,4,13,1,30,1,13,1,9,1,11,2,13,1,11,3,16,1,11,1,16,1,9,1,11,2,9,3,13,1,9,3,11,1,16,2,17,3,16,2,11,1,16,1,11,2,9,1,13,7,6,1,9,1,6,1,9,1,13,9,9,1,13,1,9,2,13,1,9,1,16,1,11,1,16,1,10,1,9,1,17,2,16,1,17,5,9,1,13,1,6,1,28,2,6,5,29,1,6,1,29,1,30,1,6,1,30,1,6,1,13,1,8,1,6,1,7,1,24,1,13,1,30,1,13,1,6,1,13,1,6,2,8,1,13,1,8,3,9,1,10,1,17,1,9,1,11,1,12,1,11,1,9,1,11,1,17,1,9,1,17,2,11,1,12,1,17,1,12,1,17,1,12,1,11,1,17,1,10,1,17,1,16,1,11,1,16,3,17,7,16,1,17,1,16,4,17,1,16,1,11,1,16,2,11,1,16,2,11,7,9,1,17,2,16,4,9,1,10,1,11,2,16,1,17,1,9,1,11,1,9,2,11,1,9,1,11,1,17,1,16,1,11,1,16,3,11,1,9,1,16,1,11,3,16,1,9,1,11,1,9,1,11,3,16,1,8,1,9,1,16,3,10,1,17,1,9,2,11,2,9,2,11,1,16,1,9,2,11,1,9,1,17,1,9,1,11,4,16,1,9,1,11,2,16,1,9,3,11,2,9,3,16,1,9,1,11,3,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,2,10,1,17,1,16,3,11,1,16,1,11,1,16,7,17,2,16,2,17,1,16,1,11,1,17,1,16,3,11,1,16,2,11,3,16,4,11,4,16,5,11,1,16,1,9,1,16,1,11,2,16,14,17,1,11,1,16,2,11,1,17,3,16,2,11,2,16,1,11,2,16,1,11,3,9,1,11,2,10,1,8,1,11,2,9,1,11,1,9,2,10,1,9,4,11,1,10,1,11,2,16,1,17,3,16,1,17,1,10,1,9,1,8,1,9,1,13,2,7,1,13,5,9,1,10,1,9,1,11,2,10,1,16,1,11,1,9,1,10,1,11,1,10,1,9,4,10,1,9,2,10,1,9,1,11,1,9,3,16,1,13,1,8,1,9,1,8,1,9,2,8,1,13,1,9,1,8,3,13,2,9,1,13,1,8,1,13,1,8,2,9,1,13,1,9,3,11,1,9,4,8,1,9,6,10,1,9,1,16,1,11,1,9,1,16,1,9,2,11,1,9,1,11,1,16,1,11,3,9,2,11,1,9,2,8,1,9,3,11,1,9,4,10,1,9,1,11,2,9,2,11,1,9,2,11,1,9,3,10,1,9,2,11,1,9,7,16,1,11,1,13,1,11,2,9,2,11,2,9,1,11,1,9,2,16,1,9,6,11,1,9,7,11,1,9,1,10,1,16,1,11,1,16,2,9,3,13,1,9,2,13,3,9,1,8,1,13,2,8,1,13,1,9,2,11,1,9,1,11,1,8,1,11,1,9,1,11,1,9,2,11,1,16,1,10,1,9,1,16,1,11,1,10,1,13,1,9,1,11,3,9,1,11,1,9,1,16,1,9,1,11,1,9,1,11,3,16,1,10,1,9,4,11,1,10,1,16,1,11,2,9,1,16,1,11,1,17,2,16,2,11,1,16,1,17,2,16,1,17,1,16,3,17,1,16,1,11,1,17,1,11,1,16,3,17,2,16,2,17,1,16,1,11,1,16,1,17,1,11,1,17,1,16,1,9,1,17,1,16,7,11,1,17,1,11,1,16,1,11,2,16,3,11,1,16,1,11,1,9,2,11,2,9,2,11,2,9,1,16,1,11,1,16,1,11,3,9,1,16,1,10,1,9,2,11,1,9,1,10,1,9,1,11,1,16,1,11,1,16,3,10,1,16,1,11,1,9,1,16,1,11,1,16,1,9,2,8,2,11,1,9,3,11,1,16,2,9,1,16,1,9,1,16,2,9,1,16,1,9,1,11,1,17,1,16,3,11,2,9,1,11,4,16,2,17,1,16,1,11,1,16,1,11,1,16,4,17,2,9,1,17,4,16,6,11,1,17,1,16,2,17,2,16,2,17,1,9,1,11,1,17,1,10,1,16,2,9,1,11,4,16,1,17,1,16,3,17,1,10,1,17,1,11,3,16,1,11,1,9,1,11,1,16,1,11,1,16,1,17,1,9,1,16,1,9,1,16,2,9,1,11,1,16,1,11,1,16,2,9,1,10,2,11,2,16,1,9,1,10,1,9,2,11,1,10,1,11,2,9,2,11,1,9,1,11,1,8,1,9,2,8,1,9,1,13,1,8,1,9,4,8,1,13,1,9,1,11,1,9,3,8,1,9,9,11,2,9,1,11,1,9,3,8,1,9,4,10,1,11,3,16,1,9,1,10,1,9,3,10,1,9,1,8,1,9,1,8,1,11,1,9,1,11,1,9,2,11,1,9,2,10,1,9,5,13,1,11,1,9,5,8,4,9,2,13,1,9,2,13,1,8,1,13,2,9,1,13,1,9,2,8,2,9,1,11,1,13,3,9,1,13,1,9,1,8,1,9,1,10,1,9,1,16,1,11,1,16,1,17,1,11,1,9,3,8,1,9,3,8,1,13,1,9,3,13,2,9,1,8,3,9,1,8,1,13,3,8,1,13,2,9,1,8,3,13,1,8,1,13,1,9,1,13,2,9,3,8,1,9,2,8,1,9,1,8,1,9,1,8,1,13,1,8,1,9,1,8,1,10,1,9,2,8,2,13,1,9,4,13,1,8,2,13,2,8,2,9,2,8,1,13,1,9,4,8,1,9,4,10,1,11,1,10,1,17,2,9,1,10,1,16,1,9,2,10,1,9,1,10,1,24,1,9,2,11,1,24,1,8,1,24,1,9,1,8,1,9,1,8,4,9,1,24,1,13,1,9,1,13,1,24,1,13,2,9,1,13,1,8,1,13,1,24,1,8,1,9,1,13,1,24,1,8,1,13,1,8,1,13,1,24,2,13,1,8,1,11,2,13,1,9,1,8,2,9,1,8,3,13,1,9,1,24,1,9,1,10,1,11,1,10,1,17,2,12,1,13,1,28,1,9,6,11,1,9,7,13,1,9,1,8,2,9,1,8,1,9,1,8,1,9,2,13,1,8,1,9,2,13,1,8,1,9,2,8,1,13,1,8,1,13,2,8,3,9,1,8,1,9,1,13,1,9,5,13,2,8,1,13,1,8,1,13,8,8,1,9,1,11,1,9,1,13,1,9,1,13,6,8,1,13,1,8,1,13,7,9,1,13,1,8,2,13,5,9,2,13,1,9,2,13,3,8,1,9,2,13,2,9,1,13,10,8,1,11,2,9,3,8,1,13,1,9,1,13,1,9,2,8,1,13,1,9,1,13,1,9,5,13,1,9,1,16,1,9,1,16,1,11,2,16,1,9,1,16,5,11,1,16,1,11,3,16,1,11,4,9,1,11,2,9,1,11,3,16,1,11,1,9,1,11,3,9,2,11,1,9,4,11,2,9,4,11,1,9,1,11,1,13,1,9,2,11,1,9,9,11,1,8,1,9,3,8,3,9,1,8,1,10,1,9,4,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,10,1,11,3,9,1,13,1,9,2,13,2,9,1,11,1,9,2,16,1,9,1,8,1,9,3,11,1,9,1,11,1,9,3,10,1,9,5,11,1,9,5,13,1,9,2,13,3,8,1,13,1,9,9,10,1,9,2,11,3,9,1,11,1,10,1,13,1,9,2,11,3,16,1,17,1,16,1,17,3,16,1,17,6,16,1,17,8,16,1,17,1,16,1,17,2,16,1,17,1,16,6,11,1,16,1,11,1,16,1,11,2,16,1,11,4,9,1,11,2,9,8,13,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,6,8,1,13,2,8,1,9,6,11,1,9,1,11,1,9,1,11,3,9,1,11,1,16,1,11,1,9,5,5,1,33,2,5,239,13,1,28,2,30,1,8,1,9,1,6,1,13,1,6,2,13,1,6,1,29,2,30,1,29,1,11,1,17,7,16,1,5,68,33,1,28,3,8,1,15,1,24,1,9,1,24,1,8,1,24,1,12,1,13,2,8,1,9,1,17,4,10,1,9,1,24,1,7,1,8,1,9,1,24,1,8,1,9,3,17,2,11,1,8,1,6,1,13,1,6,1,8,1,24,1,16,1,11,1,17,2,12,1,11,1,12,1,9,1,8,2,13,1,8,1,24,1,13,1,6,1,9,2,24,1,9,1,24,2,7,1,13,2,30,1,13,1,6,1,8,1,13,2,6,1,30,1,10,1,17,3,11,1,17,1,16,1,17,6,24,1,8,3,15,1,10,1,17,1,12,1,6,2,30,1,28,1,7,1,24,1,9,1,6,1,29,1,6,1,24,1,9,1,}, {29,1,28,1,8,3,24,1,8,1,15,1,12,1,13,1,30,1,6,1,30,1,28,1,30,1,6,1,13,1,9,1,12,1,9,1,24,1,29,1,6,1,13,1,6,1,9,1,17,2,12,1,8,1,13,1,6,1,7,1,6,1,8,1,13,1,8,4,6,2,13,2,7,1,6,1,8,1,13,1,8,1,7,1,8,2,13,1,6,1,8,2,29,1,6,1,13,1,8,1,6,1,13,1,29,1,8,1,13,2,24,1,12,1,10,1,9,1,12,2,8,1,9,1,28,1,6,2,7,1,6,1,8,1,13,1,10,1,9,3,8,1,24,1,11,1,12,2,9,1,8,1,9,1,17,1,9,1,8,1,13,1,8,2,17,6,12,1,17,1,11,1,17,13,16,1,17,1,10,1,16,1,17,2,11,1,14,1,24,1,9,1,12,1,24,1,6,1,8,1,11,1,8,1,24,2,12,1,8,1,24,1,8,1,9,4,17,3,14,1,17,1,14,1,9,1,11,1,24,1,9,1,12,1,11,2,17,1,12,1,16,1,10,1,17,2,11,1,12,1,11,1,14,1,9,1,17,1,11,1,16,1,17,5,12,1,16,3,17,1,16,2,12,1,16,1,17,1,16,2,17,36,11,1,13,2,7,1,13,2,17,3,12,1,15,1,24,1,11,1,9,1,24,1,8,1,13,2,6,2,13,1,6,1,13,1,6,1,7,1,6,2,29,1,24,1,10,1,24,1,10,1,11,1,9,2,17,1,14,1,9,1,30,1,28,13,10,1,17,2,16,2,17,1,16,1,17,6,16,7,11,1,16,1,11,1,16,1,9,1,11,1,16,1,9,1,16,1,11,1,16,2,9,2,16,1,9,1,11,1,9,1,11,1,9,2,11,3,9,1,11,1,13,1,8,1,13,2,9,1,13,1,9,2,11,1,16,1,11,1,16,1,17,1,11,1,16,2,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,3,13,2,9,2,6,2,13,2,9,1,13,1,9,4,13,3,9,1,13,1,9,2,11,1,9,1,11,6,16,1,11,1,16,1,11,1,16,5,17,1,16,3,17,2,16,2,11,1,16,1,11,2,13,2,9,2,13,1,9,3,11,1,16,3,11,1,9,2,13,3,9,3,13,4,9,1,16,7,11,1,9,2,6,2,13,1,6,1,13,3,9,3,11,1,16,2,9,1,11,1,9,1,13,1,6,3,30,2,28,1,30,2,13,2,9,2,11,2,9,1,11,2,9,1,13,1,9,1,13,5,6,5,30,1,13,3,9,5,11,3,17,1,16,2,9,1,11,1,9,2,13,1,9,3,11,1,9,1,11,1,16,2,17,1,16,2,17,1,16,2,11,1,16,1,9,2,13,1,6,1,13,3,9,1,13,1,9,1,13,1,7,1,13,3,9,1,13,5,9,4,13,2,9,2,10,2,11,2,16,3,17,5,11,1,13,1,6,1,7,1,29,1,6,1,29,1,6,1,30,1,6,2,29,1,6,1,13,1,6,4,7,1,29,1,6,2,29,1,6,5,8,1,13,1,8,1,13,1,24,1,9,1,10,1,8,1,12,1,9,1,12,1,11,1,9,1,16,1,10,1,17,1,9,2,17,1,9,1,16,1,11,1,16,1,11,1,17,1,16,1,17,3,8,1,11,1,17,1,11,1,16,1,17,9,16,4,17,1,16,6,11,1,16,1,11,1,16,2,11,1,9,1,16,4,11,1,16,1,11,1,16,1,9,1,10,1,9,1,16,1,9,1,8,1,9,1,16,1,10,1,16,1,17,1,9,1,11,2,16,1,11,1,16,1,11,1,16,2,11,5,9,2,11,1,9,1,11,5,16,1,11,1,16,2,9,1,8,1,11,1,16,1,11,3,9,2,11,1,16,1,11,1,9,1,11,3,9,2,16,1,8,1,9,2,11,2,9,2,10,1,9,1,16,1,11,2,9,1,10,1,9,1,11,1,9,3,16,2,11,1,9,1,16,1,17,1,11,2,17,1,16,1,11,1,16,1,11,2,16,2,11,2,16,4,11,2,16,8,17,1,16,2,17,1,11,1,16,2,11,1,16,1,17,1,16,1,11,1,16,1,17,1,10,2,16,2,17,1,11,1,16,1,11,1,17,1,11,2,16,1,9,1,16,1,11,2,9,1,11,4,16,3,11,2,16,4,11,2,16,6,17,1,16,2,17,1,16,2,11,2,16,2,11,2,16,1,10,1,11,1,9,2,11,1,8,1,11,1,9,2,8,1,9,2,11,1,9,3,11,1,10,1,11,2,17,2,16,1,11,1,17,1,16,2,9,1,8,1,9,1,11,1,8,1,7,1,13,5,7,1,13,2,9,2,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,2,8,1,9,1,11,1,8,1,9,4,11,1,9,2,11,1,9,4,8,1,9,4,13,1,9,1,8,1,9,1,8,1,9,1,13,1,9,2,11,1,9,2,16,1,9,2,11,1,10,1,9,6,13,2,9,1,11,2,9,4,16,1,9,5,8,1,9,2,11,1,10,1,9,1,11,1,9,2,13,1,8,1,11,1,9,2,11,1,10,1,11,1,9,7,11,1,9,4,13,1,8,1,9,1,11,2,9,1,11,1,8,1,11,2,9,1,11,1,10,1,9,2,10,1,11,1,10,1,11,2,9,3,16,2,10,2,11,1,16,1,11,1,9,2,11,1,9,1,11,1,9,2,11,1,16,1,9,2,11,1,9,2,11,1,16,2,17,1,9,3,8,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,8,1,9,1,11,1,9,1,16,1,11,1,9,1,16,1,9,2,11,1,9,1,16,2,11,2,10,1,16,2,11,1,16,5,9,1,11,1,16,2,11,1,16,9,11,1,16,2,17,2,16,6,17,1,16,1,17,3,16,1,17,3,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,3,11,1,17,4,16,1,17,5,11,2,17,2,16,1,17,1,9,1,17,1,16,2,17,2,16,4,10,1,16,2,10,1,16,3,10,1,11,1,16,2,11,1,16,2,17,2,16,1,11,2,16,1,11,2,16,4,9,1,16,1,11,1,9,1,11,1,17,1,9,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,11,2,16,4,11,1,16,3,17,1,11,2,16,7,17,1,16,2,11,1,16,1,11,1,17,1,11,1,16,1,11,2,17,1,16,4,17,4,11,1,17,1,11,1,16,2,17,1,16,1,17,2,11,1,17,3,11,1,17,1,16,1,11,1,16,1,17,1,16,2,11,1,9,1,10,1,17,1,16,2,17,1,16,2,17,1,16,4,11,1,17,1,11,1,17,1,11,2,17,1,16,1,11,1,16,3,17,1,16,4,17,1,16,5,10,1,16,2,10,1,16,1,10,1,9,1,16,1,11,1,16,3,9,1,16,1,11,1,16,2,9,4,8,1,9,1,16,1,13,1,9,2,11,1,16,2,8,1,9,5,8,1,9,2,11,1,9,3,8,1,13,1,9,6,13,1,8,1,9,2,11,1,9,2,11,3,9,1,11,1,9,1,8,1,9,2,11,1,9,2,11,1,8,1,9,1,11,1,8,1,11,1,16,2,9,2,16,1,11,1,9,1,11,1,9,7,11,1,17,1,11,1,10,1,11,1,9,2,11,1,13,2,9,2,8,1,11,1,9,4,13,1,9,1,8,1,9,4,8,2,13,4,8,1,13,1,9,5,11,1,13,1,8,1,13,2,9,3,17,1,11,2,9,1,16,1,17,2,9,2,11,1,9,1,13,1,9,1,13,2,9,2,11,1,13,1,9,2,8,1,13,1,9,1,13,2,8,1,13,1,8,1,9,3,11,1,9,1,8,2,13,1,8,4,9,1,8,1,9,3,13,2,8,1,13,1,9,2,8,1,9,1,8,1,13,1,8,1,9,1,8,1,13,2,9,2,13,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,8,2,13,1,8,1,9,1,8,1,9,1,8,3,13,1,8,1,9,2,10,1,9,1,11,1,16,1,11,1,17,2,11,1,9,1,11,1,10,1,8,1,9,1,11,1,9,3,8,1,24,1,9,1,8,1,24,1,9,1,24,2,9,1,13,1,24,1,8,1,24,1,8,1,24,1,8,2,24,1,13,1,8,3,13,1,8,3,13,1,24,1,8,1,24,1,8,1,6,1,13,1,9,1,13,2,24,1,13,1,24,1,8,1,24,2,8,2,24,1,8,2,24,1,8,1,13,1,8,1,13,1,8,1,24,1,11,1,12,1,17,2,8,1,30,1,9,3,11,2,9,1,8,1,13,1,10,1,9,3,8,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,13,4,9,1,8,3,13,4,8,1,13,3,8,1,9,1,13,1,8,1,13,2,9,1,13,1,8,1,13,1,9,3,13,1,9,1,13,2,6,1,13,9,9,1,13,1,6,1,13,2,9,1,13,7,7,1,13,4,8,1,13,2,9,1,13,1,8,1,13,2,6,1,8,1,13,1,9,1,13,2,8,2,13,1,9,1,6,1,13,2,8,1,13,3,8,1,13,2,9,1,13,1,9,1,13,2,9,1,13,1,9,1,10,1,9,1,8,1,13,1,9,2,8,2,9,1,10,1,9,3,8,1,9,1,13,1,8,1,9,1,13,1,9,1,11,1,9,2,11,5,9,1,11,4,16,4,11,1,10,1,16,3,10,1,11,1,16,1,11,1,16,2,9,3,11,2,16,1,11,1,9,1,16,1,11,1,16,1,9,1,16,1,11,1,9,1,11,1,9,2,16,1,9,2,8,1,9,1,11,1,10,1,9,3,8,1,11,1,9,5,13,1,9,1,11,1,9,1,11,1,9,1,13,1,11,1,9,3,11,1,9,2,11,1,9,1,11,1,8,1,9,2,8,1,11,1,9,2,10,1,9,3,13,1,9,1,8,1,9,2,13,1,9,6,8,1,9,1,10,1,9,1,13,1,16,1,9,2,16,1,9,2,10,1,11,2,9,1,10,1,9,1,11,2,9,1,10,2,9,2,10,1,8,1,11,1,9,2,8,1,9,8,8,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,2,9,1,11,1,13,1,9,3,11,1,9,1,16,1,17,2,16,5,17,1,16,7,11,1,16,1,9,1,10,1,16,3,17,10,16,1,17,1,16,9,11,1,16,1,11,1,10,1,11,2,16,1,11,2,16,1,11,2,10,1,9,9,13,7,9,5,13,1,9,2,13,1,9,1,11,3,9,2,16,6,11,1,16,4,11,4,16,1,11,1,9,1,5,2,16,1,5,1,16,1,17,2,5,226,33,1,30,1,28,2,7,1,8,1,13,2,7,1,30,1,6,1,13,1,6,2,30,1,29,1,13,1,17,9,5,67,33,1,28,2,30,1,8,1,9,4,12,1,24,1,10,1,8,2,9,1,17,5,11,1,12,1,8,1,9,1,24,1,8,1,9,1,8,1,24,1,8,1,10,1,17,3,13,3,8,3,16,1,12,1,17,2,12,1,10,1,17,1,24,1,8,2,24,1,13,2,24,1,8,1,24,1,8,1,24,1,13,3,7,1,8,1,13,3,6,1,13,1,8,1,7,1,13,2,9,1,12,1,17,1,16,2,9,1,10,1,9,1,17,4,12,1,8,1,9,1,8,2,15,1,12,1,15,1,10,1,13,1,30,1,6,1,30,1,7,1,9,2,7,1,30,1,7,1,6,1,8,1,}, {8,1,29,2,8,2,24,1,12,1,15,1,12,1,13,1,8,1,30,2,6,1,7,1,30,1,7,1,17,1,9,1,24,1,7,1,13,1,29,1,8,1,6,1,8,1,17,2,8,1,24,2,13,2,6,1,13,1,29,1,24,1,15,1,24,1,8,1,13,1,6,2,13,1,8,1,6,1,13,1,7,1,13,1,8,1,13,1,8,1,13,2,6,1,13,1,29,1,13,2,6,2,7,1,6,1,13,1,24,1,13,1,12,1,9,1,8,2,11,1,9,2,8,1,13,2,30,1,29,1,13,1,8,2,15,1,9,1,24,1,8,1,7,1,8,1,12,1,11,1,12,1,8,2,9,1,17,1,12,1,15,1,8,1,6,1,8,1,12,1,17,5,16,2,17,1,11,2,17,3,14,1,17,7,11,1,8,1,16,1,11,1,10,1,9,1,17,1,11,1,12,1,10,1,8,1,24,1,8,1,24,1,13,1,8,1,24,1,8,3,9,1,8,1,24,1,9,1,17,2,16,1,17,2,14,3,17,1,24,2,9,1,8,1,9,1,17,4,16,3,17,1,9,1,10,1,15,2,11,1,17,8,12,2,17,2,16,1,17,1,16,1,17,40,11,1,8,1,7,1,8,1,6,1,8,1,10,1,12,1,17,1,12,1,10,1,24,1,9,1,24,1,8,1,13,2,6,1,13,1,30,1,7,1,13,1,8,1,6,2,28,1,7,2,8,2,24,2,9,1,10,1,12,1,16,1,14,1,13,1,28,13,6,1,9,1,17,5,16,1,17,3,16,1,17,1,16,3,17,1,16,1,11,1,16,1,11,1,16,3,11,3,9,1,16,1,10,1,16,1,11,2,9,1,16,1,11,1,16,1,11,1,9,1,11,7,9,1,13,3,30,1,9,1,13,2,9,3,11,1,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,3,17,3,16,2,17,1,16,2,9,4,13,5,9,2,13,14,8,1,9,4,11,1,9,1,11,1,16,1,11,1,16,4,17,5,16,5,11,1,13,6,9,1,13,2,9,1,11,1,16,3,11,1,9,1,13,1,9,1,13,2,8,1,9,1,13,3,9,1,11,1,16,8,9,2,13,2,6,1,13,2,9,1,11,3,16,2,11,1,9,2,13,1,6,1,30,2,6,1,28,1,30,3,6,1,13,1,9,1,11,2,9,2,11,1,9,3,13,2,6,1,13,3,6,1,13,1,6,2,13,1,6,1,28,1,6,1,13,1,6,1,9,4,16,2,11,1,16,5,11,1,16,1,9,3,13,2,9,1,11,4,16,1,17,1,16,1,17,3,11,1,9,2,11,1,8,1,9,1,13,5,9,2,13,1,9,2,13,1,9,1,13,6,9,1,11,1,13,6,9,1,11,1,9,1,16,4,17,6,13,1,29,1,28,1,6,1,7,1,6,1,7,1,29,1,13,1,6,2,29,1,6,1,30,1,6,3,7,1,6,1,13,1,6,2,7,1,13,1,6,1,29,1,6,2,13,2,8,1,13,2,9,2,8,1,17,1,9,3,11,1,9,1,17,2,11,1,17,1,11,1,16,1,10,1,12,1,16,1,17,1,16,1,11,1,9,1,17,1,11,1,17,2,10,1,17,1,9,1,16,1,17,8,16,4,17,1,16,7,11,2,10,1,9,1,11,1,16,4,11,1,16,2,17,1,11,1,16,1,11,3,16,1,11,5,16,1,11,2,16,1,11,1,16,1,11,3,9,1,16,1,10,1,11,3,16,2,11,3,9,1,11,1,16,1,11,2,16,1,11,2,16,1,9,2,11,3,9,1,11,2,16,1,11,1,16,1,9,1,11,1,16,1,9,1,11,1,9,2,11,2,10,1,9,1,11,1,9,1,11,2,9,1,16,1,9,2,16,1,11,1,8,1,16,1,11,1,10,1,11,1,17,1,8,1,16,4,11,1,16,1,11,1,9,1,16,1,11,2,16,1,11,1,16,1,17,1,11,1,16,1,11,1,16,3,17,1,16,6,11,1,16,1,17,1,16,3,11,1,16,2,11,1,17,1,11,2,17,1,16,1,9,1,11,3,16,1,10,1,16,1,11,2,16,1,17,1,16,1,11,1,16,1,11,3,16,1,11,1,16,2,11,1,17,1,16,1,11,2,16,1,11,1,16,2,17,1,16,2,17,1,16,2,17,1,11,1,16,2,11,3,16,1,11,1,16,1,9,1,16,1,11,2,16,2,11,1,9,1,8,1,9,7,11,1,16,1,10,1,16,1,9,2,11,1,9,1,11,1,16,1,10,1,11,1,9,1,11,1,17,2,9,2,8,1,13,1,11,1,6,1,8,1,7,1,6,1,13,1,8,1,13,1,9,1,13,3,10,1,11,4,9,2,11,2,9,1,16,1,9,4,11,1,10,1,9,1,11,1,10,1,9,1,11,5,16,1,11,1,9,7,13,1,9,1,8,1,9,6,11,1,16,1,9,3,13,1,9,4,16,1,9,1,11,1,9,3,11,1,9,3,11,1,9,2,11,1,9,2,11,1,9,3,10,1,11,1,9,1,11,1,9,4,13,1,9,1,11,1,9,3,11,1,9,3,11,1,9,5,11,1,9,1,10,1,11,1,9,2,8,1,9,2,10,1,11,1,9,1,11,1,9,2,11,3,9,1,11,1,9,1,11,2,10,1,11,2,10,1,11,5,9,1,11,1,9,1,11,1,16,3,9,1,17,1,16,3,11,1,17,2,16,1,11,1,16,1,10,1,16,2,11,1,9,1,16,3,10,1,9,1,17,1,11,1,16,1,9,1,16,1,9,1,11,3,16,1,17,1,16,3,11,2,16,2,17,2,16,2,17,3,16,3,17,2,16,1,17,2,16,2,17,2,16,6,17,3,16,1,17,6,11,1,17,2,16,1,17,1,16,2,17,2,16,6,9,1,11,2,9,2,11,1,9,1,16,1,10,1,16,1,10,1,11,1,9,2,10,1,8,1,9,1,11,3,9,1,16,1,10,1,11,1,17,1,9,1,16,3,17,1,16,2,11,2,10,1,11,4,16,3,9,1,11,2,16,5,17,1,16,1,17,2,16,3,17,2,16,2,11,1,16,1,17,2,11,1,16,7,9,1,16,3,11,1,16,1,11,2,16,1,11,1,16,6,17,1,11,1,17,6,16,3,17,2,16,1,17,1,16,1,11,1,17,2,16,1,17,3,16,1,17,7,11,1,17,3,16,2,17,5,16,3,17,3,16,1,17,1,16,1,11,1,17,4,16,2,11,1,16,1,11,1,17,2,16,1,17,5,16,1,17,1,16,1,17,4,16,4,17,1,16,1,11,2,16,1,17,1,16,1,17,1,16,2,11,1,16,3,17,2,16,1,9,1,11,1,16,2,11,1,16,1,11,1,16,1,8,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,4,11,1,8,1,9,3,11,1,9,4,11,1,9,3,16,1,9,3,11,1,9,2,11,1,9,3,10,1,9,1,11,1,16,2,9,1,11,2,9,1,11,3,16,2,11,3,9,1,11,1,9,4,11,1,10,1,11,1,16,2,10,1,9,2,13,1,16,1,8,1,11,2,16,2,9,1,10,1,9,1,10,1,9,2,8,1,13,1,9,7,8,1,13,1,9,7,11,1,9,5,13,1,9,1,11,1,16,1,11,2,9,1,16,1,17,2,16,1,10,1,11,1,9,1,10,1,9,2,11,1,8,1,9,3,13,2,9,2,13,1,11,1,9,3,13,2,9,2,13,1,9,7,8,1,9,2,10,1,9,3,13,1,9,4,11,1,9,7,8,1,9,2,13,1,9,2,13,1,9,5,13,2,11,1,8,1,11,1,9,1,8,2,9,1,8,1,9,4,11,1,16,1,8,1,11,2,9,1,10,1,9,1,10,1,9,5,10,1,11,1,8,1,24,1,9,1,10,1,8,1,13,1,9,1,13,2,24,1,8,1,13,1,24,1,8,2,13,2,24,1,8,3,9,1,13,1,7,1,9,1,7,2,9,1,24,1,13,1,8,1,9,1,8,1,13,2,9,1,10,1,13,1,10,1,24,1,10,1,13,2,9,1,24,1,8,2,13,1,24,1,8,1,7,2,13,2,24,1,10,1,17,3,13,1,29,1,9,5,11,1,9,4,8,1,10,1,9,1,8,1,9,4,8,1,9,2,13,1,9,1,8,3,13,2,8,1,9,2,8,3,13,1,8,1,13,1,8,2,13,1,8,2,13,1,9,2,13,1,9,1,13,1,7,1,13,2,8,2,13,2,8,1,13,4,9,1,13,1,8,2,9,1,8,1,13,15,8,1,13,3,8,1,13,7,8,1,13,4,8,1,13,6,9,1,13,3,8,1,13,2,8,1,13,1,9,2,10,1,9,1,13,1,9,1,8,1,9,2,11,3,9,1,13,1,11,1,9,1,13,1,8,2,13,1,9,1,13,2,9,3,11,1,10,1,11,3,9,3,11,1,16,1,11,2,16,2,11,1,9,1,11,1,16,1,11,1,16,2,11,3,10,2,16,1,11,1,16,1,11,2,9,1,16,1,11,1,16,1,11,1,9,2,16,1,11,1,9,1,11,1,16,1,11,1,10,2,16,1,9,1,16,1,11,1,8,1,11,1,9,3,13,1,9,1,11,2,9,4,16,2,9,3,11,2,16,1,9,1,11,1,9,1,11,1,9,1,11,3,16,1,11,1,9,3,13,2,9,6,16,1,9,1,13,2,8,2,13,1,10,1,13,1,9,2,16,1,13,1,11,1,8,1,9,1,11,1,16,1,9,1,10,1,9,3,11,2,9,2,10,1,8,1,9,1,11,1,9,1,11,1,9,1,8,1,9,6,13,1,11,1,9,6,11,3,16,1,9,1,11,3,16,2,11,2,16,1,11,4,16,3,17,2,16,3,11,1,17,1,16,2,11,2,16,1,9,1,11,1,9,6,8,1,9,2,11,2,16,1,17,1,16,1,17,2,16,3,17,3,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,4,17,1,16,2,11,1,16,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,9,4,13,1,9,5,16,1,11,1,13,1,9,2,11,2,9,2,11,1,16,1,9,1,11,1,16,3,11,5,10,1,11,3,9,1,11,1,9,1,11,2,16,3,11,1,16,5,17,4,16,2,5,219,33,1,28,3,6,1,13,1,6,2,7,1,6,1,30,2,6,1,30,1,28,1,30,1,6,1,17,10,5,1,33,1,5,64,33,1,28,2,6,1,8,2,9,1,8,1,9,1,12,1,11,1,9,4,12,1,17,3,12,1,10,1,9,1,12,1,8,1,13,1,8,1,9,1,8,2,12,3,17,2,9,1,8,1,6,1,24,1,7,1,10,1,16,1,17,4,9,3,10,1,8,1,9,1,10,1,13,2,10,1,13,1,7,1,9,1,8,1,24,1,13,1,8,2,13,1,8,1,13,3,6,2,13,1,7,1,24,1,17,2,16,1,10,1,9,1,16,1,11,1,17,3,12,1,24,1,8,3,24,1,15,1,17,2,8,1,13,1,6,1,7,1,30,1,7,1,24,1,10,1,13,1,6,2,9,1,15,1,}, {13,1,6,2,8,2,13,1,24,1,14,2,13,1,7,1,6,1,29,1,30,1,29,1,7,2,8,1,12,1,10,2,8,1,6,2,13,1,24,1,15,1,9,1,10,1,24,1,6,2,7,1,8,1,7,1,13,1,8,1,6,1,24,1,13,1,6,2,13,1,24,1,6,1,8,1,13,2,6,1,8,2,29,1,8,1,6,1,13,1,29,1,6,1,7,1,6,1,13,2,6,2,7,1,8,1,7,1,24,2,9,1,24,1,10,1,14,1,9,1,24,1,13,1,6,1,24,1,8,1,6,1,13,1,8,1,9,1,15,1,9,2,24,2,11,1,17,1,9,1,12,1,30,1,11,1,17,1,10,1,16,1,8,1,13,1,12,1,11,1,17,6,13,1,17,1,16,1,9,1,17,1,14,1,17,9,9,2,16,1,10,1,16,1,15,1,17,1,10,1,11,2,13,1,9,1,15,1,14,1,15,1,24,1,9,1,8,1,24,1,9,1,17,1,12,2,10,1,17,9,11,1,9,3,8,1,16,1,17,5,11,1,17,1,9,1,11,1,9,1,14,1,11,1,17,7,16,2,17,2,12,1,17,43,9,1,13,1,29,1,24,2,13,1,24,1,15,2,17,1,8,1,13,1,9,1,13,1,6,1,13,1,29,1,7,1,13,3,8,2,7,1,6,2,30,1,13,2,9,1,24,3,12,1,10,1,14,1,17,1,9,1,28,14,9,1,17,2,16,6,17,2,16,1,17,1,16,1,17,1,16,5,9,1,16,1,11,14,9,2,11,2,16,2,11,1,9,1,11,1,13,1,6,1,13,5,9,1,13,2,11,2,16,3,17,1,16,2,17,2,16,1,17,1,16,1,17,2,16,6,9,1,11,1,9,2,13,2,9,1,8,1,13,1,9,2,13,17,9,3,11,2,16,2,11,1,16,5,17,2,16,5,9,2,13,1,8,1,13,4,8,1,13,4,11,1,16,1,11,1,16,1,9,2,13,3,9,3,13,2,9,1,16,4,17,2,16,3,9,1,13,6,11,2,16,1,11,2,9,3,13,1,30,1,6,1,30,2,28,1,13,1,28,1,30,1,13,1,9,1,11,1,9,2,11,1,9,5,13,4,6,2,13,2,6,1,13,1,30,1,13,6,11,3,9,1,16,1,11,1,16,4,11,1,16,1,13,1,9,7,11,1,16,1,11,1,16,1,17,2,16,5,11,2,9,2,13,2,9,1,13,5,9,1,13,1,9,1,13,1,9,2,13,3,9,1,13,1,9,2,13,1,9,2,13,4,16,1,13,1,11,1,16,1,17,1,16,1,17,6,13,1,6,4,7,1,6,1,29,1,6,1,7,1,29,1,6,1,13,3,29,1,7,1,13,1,29,1,6,1,7,1,13,1,29,1,28,1,6,1,29,1,13,1,6,2,7,2,6,1,8,2,9,2,8,1,9,1,12,1,11,1,8,1,9,1,11,2,9,1,16,1,11,1,10,1,17,1,11,1,12,1,9,1,11,1,16,1,17,2,16,1,17,1,16,1,11,1,16,1,11,2,17,11,16,1,17,1,16,1,11,1,16,3,11,1,16,3,11,1,16,1,9,1,16,1,17,1,11,1,16,1,10,1,11,1,16,1,11,3,16,1,11,1,16,3,9,1,11,1,16,1,11,1,16,2,11,8,16,1,11,2,9,2,11,6,16,1,11,1,16,1,9,1,11,5,9,2,10,1,9,1,11,1,16,1,9,4,11,3,9,1,16,1,9,3,10,1,16,1,9,1,11,2,10,1,9,1,16,1,9,1,10,1,11,2,9,2,11,1,9,1,10,1,16,1,10,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,10,1,11,3,16,1,11,1,16,5,11,1,17,1,11,2,16,1,11,2,16,5,17,2,16,3,17,1,9,1,17,1,11,1,9,1,11,1,16,2,11,5,16,1,9,1,17,1,11,2,16,1,11,2,16,1,11,2,16,1,9,1,11,4,16,3,11,1,16,10,11,1,17,1,11,1,16,2,10,1,11,1,16,1,11,1,9,1,11,3,9,1,17,1,11,1,9,2,11,1,9,2,8,2,9,1,11,1,9,3,11,1,8,1,9,1,10,1,11,1,10,1,11,1,17,1,8,1,11,1,9,1,11,1,16,3,13,1,8,1,9,2,13,3,9,1,7,1,13,2,8,1,13,2,6,1,13,1,9,2,17,1,9,1,11,2,16,1,11,3,9,1,11,1,9,2,16,1,11,1,10,1,17,1,11,1,9,1,11,1,9,1,11,3,9,1,11,2,9,3,8,1,9,3,8,1,9,4,10,1,9,2,11,1,9,1,8,1,9,1,8,2,9,1,8,1,9,1,11,1,9,1,11,2,8,1,16,1,9,4,8,1,9,4,10,1,11,2,9,1,11,1,9,1,11,2,9,1,8,1,9,6,13,1,11,1,9,4,11,1,9,3,11,3,9,4,11,1,9,2,16,1,11,1,16,1,9,1,16,1,9,1,11,4,10,1,16,1,9,1,11,1,9,1,11,1,16,1,11,2,16,1,17,1,16,2,11,2,16,1,11,3,16,2,9,1,16,1,11,1,16,1,17,1,11,2,16,1,17,1,16,1,11,2,16,1,17,1,16,3,11,1,9,1,16,1,11,1,16,2,11,1,16,1,11,1,9,1,16,1,11,1,16,1,10,1,16,3,9,1,16,2,11,4,17,2,16,1,17,5,16,1,17,1,16,1,17,2,16,1,11,1,10,1,11,1,16,1,8,1,9,2,8,1,9,2,13,1,10,1,9,2,13,1,16,1,9,1,8,2,13,1,11,1,9,3,13,1,8,1,9,1,8,1,9,1,8,2,9,1,8,2,13,1,9,1,8,1,9,1,13,1,8,2,9,4,13,1,9,2,13,2,9,1,8,1,9,1,13,1,9,3,8,3,9,1,8,2,9,2,13,1,9,2,8,3,9,4,8,1,13,1,9,1,8,1,9,1,8,1,9,3,11,1,10,1,9,1,16,1,17,1,16,1,9,1,16,3,10,1,17,1,16,1,11,1,16,1,11,2,16,1,17,2,16,3,11,1,16,2,17,1,16,1,17,2,16,1,17,1,16,3,17,4,16,4,17,4,11,1,16,1,17,3,11,1,16,1,11,1,16,1,17,1,16,5,17,2,16,1,17,1,16,1,17,5,16,1,17,3,16,1,17,3,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,3,11,1,17,1,16,1,17,6,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,4,16,1,17,4,16,2,17,7,16,1,11,1,16,1,17,1,16,2,17,1,11,1,17,1,16,1,10,1,16,3,11,1,16,2,9,1,16,1,11,3,16,1,11,1,16,2,11,3,9,1,11,1,9,3,13,1,11,1,9,2,16,1,17,1,16,1,11,1,16,1,17,2,9,3,8,1,11,2,9,1,11,1,9,2,11,1,9,1,11,5,16,1,11,2,16,1,11,2,9,1,11,1,10,1,11,3,9,1,11,2,9,2,11,1,9,2,11,2,10,1,9,2,11,5,10,1,9,1,16,1,9,1,11,1,8,1,9,1,8,1,9,4,16,1,9,2,11,1,9,2,8,1,9,1,8,1,9,4,11,1,9,3,11,1,9,1,8,2,11,2,16,2,9,1,16,1,17,1,16,1,11,1,10,1,9,3,8,1,9,3,10,1,9,1,13,1,9,1,8,2,10,2,9,1,13,1,9,1,13,1,8,1,9,3,11,1,9,1,8,1,9,2,11,1,9,2,11,1,9,4,8,1,11,1,9,2,13,1,9,3,11,1,9,2,10,1,8,1,9,1,11,1,10,1,9,1,11,1,9,4,11,1,9,1,11,1,9,1,8,1,9,2,16,1,9,1,11,1,9,1,16,1,9,6,16,2,13,1,9,1,11,2,10,1,11,1,9,1,8,1,24,1,8,1,12,1,8,2,24,1,9,1,12,1,9,1,8,1,24,3,8,1,13,1,8,5,24,1,13,1,9,1,13,2,24,1,13,1,7,1,24,1,13,1,24,1,8,5,6,1,8,2,24,1,13,1,8,3,13,1,24,1,8,2,13,1,8,3,13,1,8,1,13,2,7,3,8,1,13,1,24,1,9,1,17,3,8,1,6,1,13,1,9,2,11,1,9,3,11,1,8,1,9,2,8,1,9,2,8,1,11,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,13,2,8,3,9,2,13,6,9,1,13,1,8,1,9,1,8,1,9,1,8,1,13,3,9,1,13,3,8,1,13,8,8,1,13,1,8,2,13,2,9,1,13,2,8,1,9,1,13,1,9,1,13,2,8,2,13,1,8,1,13,1,9,1,13,8,8,1,13,14,8,1,13,3,9,1,13,5,11,1,9,1,13,1,9,1,11,1,8,1,9,1,11,2,9,1,11,1,13,1,9,1,10,1,11,1,9,4,13,1,9,1,11,1,9,1,11,1,9,1,11,1,8,1,9,1,11,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,16,1,10,1,11,1,16,1,9,1,10,1,11,1,16,5,9,1,16,1,11,2,16,1,11,1,9,1,16,1,11,2,16,1,9,2,11,4,10,1,11,1,9,1,11,5,9,2,10,1,9,5,10,1,9,1,11,3,9,1,10,1,9,3,11,2,9,1,11,1,9,3,11,2,9,1,11,1,13,1,10,1,9,1,8,1,9,1,13,1,11,1,9,1,11,1,9,2,11,2,8,1,9,2,13,1,9,3,11,1,9,1,11,1,9,1,11,1,9,1,8,1,16,2,9,1,11,1,16,1,10,1,9,1,10,1,8,1,9,4,10,1,9,1,11,4,9,1,16,1,9,4,11,1,9,1,11,1,9,2,11,1,8,1,11,1,9,2,11,2,16,1,9,1,10,1,16,2,11,1,16,2,11,1,16,2,11,2,16,1,17,1,16,2,17,3,16,3,11,3,9,2,11,1,9,1,11,1,9,2,8,1,9,1,13,1,9,1,8,1,9,5,16,2,11,1,16,1,9,1,11,4,16,1,17,1,16,2,17,1,16,1,17,9,16,1,17,3,16,6,11,1,10,1,11,1,9,3,11,1,9,2,11,1,9,1,8,1,16,1,9,4,13,1,9,1,11,1,16,1,10,1,11,1,16,4,11,1,16,1,11,1,16,1,11,5,9,2,11,2,10,1,11,1,9,1,11,1,16,4,17,1,11,1,16,2,9,1,11,1,9,2,11,1,16,3,5,1,16,1,5,214,33,1,30,1,28,2,7,1,13,1,7,1,6,2,30,1,28,1,30,1,6,1,30,2,28,1,13,1,17,11,11,1,33,1,5,63,33,1,28,1,30,2,13,1,12,1,24,1,9,3,12,1,8,2,24,1,9,1,12,1,17,3,11,1,10,2,17,1,9,2,8,1,24,1,9,1,12,2,8,1,17,2,10,1,9,1,24,1,6,2,13,1,12,1,17,2,14,1,17,1,12,1,8,1,12,1,9,1,24,1,13,1,9,2,8,2,24,1,13,1,6,1,8,2,24,1,6,1,13,1,24,1,8,2,9,1,8,2,30,1,13,2,8,1,24,1,14,1,17,1,9,2,17,1,11,1,16,1,17,2,9,1,24,2,9,1,6,1,13,1,9,1,12,1,15,1,17,1,24,1,6,1,28,1,30,1,29,1,6,1,13,1,15,1,29,1,28,1,29,1,12,1,24,1,}, {28,1,6,1,8,1,13,1,8,1,24,1,10,1,12,1,15,1,8,1,29,1,6,3,13,1,6,2,8,1,17,1,13,2,28,1,6,1,7,2,13,1,9,1,17,1,9,1,24,1,13,1,8,1,13,1,7,1,6,1,13,2,24,2,8,1,7,2,6,1,13,1,6,2,7,1,24,1,13,1,8,3,6,1,13,1,7,1,29,1,6,2,29,1,7,1,8,1,29,1,7,1,8,1,9,1,8,1,24,1,12,1,24,1,12,1,10,1,12,1,9,1,8,1,6,2,9,1,13,2,7,1,10,1,14,2,9,2,8,1,13,1,6,1,17,1,9,1,10,1,6,1,9,1,17,4,24,1,9,2,17,6,16,1,17,1,11,1,17,4,16,1,17,7,10,1,9,1,11,1,9,1,17,1,16,1,17,1,10,1,16,1,9,3,24,1,9,2,24,1,9,2,15,1,8,2,9,1,10,2,17,5,12,1,17,3,16,1,8,1,12,1,8,1,10,1,17,5,12,1,17,1,12,1,16,2,24,1,17,4,16,1,17,5,16,1,17,45,11,1,16,1,13,1,29,1,8,1,13,1,7,1,9,1,12,2,15,1,11,1,10,1,9,1,6,1,13,1,6,1,13,2,30,1,6,2,13,1,29,1,13,1,28,1,6,1,29,1,6,1,7,1,8,1,9,1,13,1,10,1,24,1,10,1,17,1,14,1,13,1,28,1,30,1,28,12,13,1,11,1,16,2,17,1,16,3,17,1,16,1,17,3,16,9,11,1,9,1,11,7,16,1,11,3,9,1,11,1,9,1,16,1,9,1,16,2,11,2,16,1,8,2,13,1,9,1,13,2,9,1,13,1,9,1,13,1,16,1,11,1,16,2,17,12,16,6,9,5,13,2,9,1,13,5,9,1,13,6,6,1,13,8,9,1,11,1,9,1,16,5,17,1,16,1,17,1,16,2,17,2,16,2,11,2,9,1,13,1,9,1,13,7,6,1,13,1,9,1,13,1,11,3,9,2,13,1,9,2,13,1,9,1,13,1,9,2,16,5,17,2,16,3,9,1,13,3,11,1,16,4,9,2,13,2,30,1,6,3,30,1,6,1,30,1,28,1,6,1,9,1,11,2,9,1,11,2,9,5,13,5,6,3,13,1,6,1,13,1,6,1,13,4,9,1,11,2,9,1,11,2,16,3,17,2,16,1,11,1,9,6,11,1,9,1,11,2,16,3,17,2,16,4,11,3,9,3,13,1,9,1,13,1,9,2,13,3,9,1,13,3,9,1,13,1,9,4,13,1,9,1,8,1,13,1,9,1,13,3,9,4,11,1,16,1,17,8,9,1,6,2,7,1,30,2,29,3,6,1,13,1,8,1,13,3,8,1,7,1,13,3,6,1,7,2,13,2,7,1,13,1,7,1,6,1,7,1,6,1,7,2,8,2,9,1,10,1,8,1,11,2,17,1,9,1,16,1,9,1,17,1,16,2,12,1,16,2,17,1,10,1,12,1,17,1,12,1,16,1,17,1,9,1,16,1,11,1,17,1,10,1,16,1,17,6,16,9,17,1,16,5,11,4,16,2,10,1,11,1,9,1,11,1,16,3,11,1,10,1,11,2,16,2,11,2,17,1,9,1,11,1,16,1,11,1,16,1,11,3,9,1,16,1,11,1,16,3,9,1,11,1,16,2,9,1,16,1,10,1,11,1,9,1,10,1,11,5,16,2,9,2,16,1,11,1,9,1,11,2,9,1,10,1,9,1,16,1,9,3,10,1,11,1,10,1,11,1,10,1,11,1,9,1,11,2,9,1,11,1,9,2,11,3,9,1,11,1,10,1,11,3,16,1,11,1,16,3,11,1,16,2,17,1,16,1,11,1,16,5,11,3,16,3,11,1,16,6,11,1,17,2,16,4,11,1,17,1,16,1,11,2,16,3,11,1,9,1,11,3,16,1,11,1,9,1,11,3,9,1,16,1,11,1,16,8,11,3,9,1,16,1,11,3,16,1,11,3,17,1,16,1,11,2,17,1,11,1,16,1,11,1,17,1,16,1,9,1,16,2,10,1,9,1,16,3,9,2,11,1,9,2,11,2,9,4,11,1,10,1,11,2,9,1,11,3,17,1,11,1,10,2,16,2,17,2,9,1,13,3,6,1,13,1,29,1,30,3,13,1,29,1,13,1,8,1,9,2,8,1,13,2,8,1,16,1,8,1,17,1,11,2,9,2,16,1,13,1,9,1,11,1,16,2,10,1,9,1,11,1,9,1,16,1,11,4,9,2,13,1,8,1,11,1,9,2,8,2,13,1,8,1,9,2,11,1,9,1,11,1,9,2,10,1,9,1,8,1,9,4,11,2,9,1,11,2,8,1,9,7,10,1,13,1,9,1,11,3,10,2,11,3,9,1,11,1,16,1,11,1,9,3,16,1,11,3,16,1,10,1,16,2,17,1,16,1,11,2,16,1,11,1,10,1,11,1,9,2,11,1,16,1,17,1,16,1,11,3,16,1,11,3,9,1,17,1,16,7,11,1,16,4,11,1,16,2,11,1,16,10,17,2,9,1,17,1,16,1,11,2,16,1,10,1,16,2,9,1,10,2,9,2,11,1,9,4,11,1,9,1,8,2,13,1,9,1,8,3,9,5,13,1,8,1,13,2,6,1,13,1,9,1,8,2,9,1,8,1,9,4,8,2,11,2,8,1,9,2,8,1,13,1,8,1,9,1,8,2,9,1,13,1,9,1,13,1,8,2,9,1,8,3,9,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,8,1,13,2,10,1,8,1,13,1,6,1,8,1,10,1,8,2,9,2,13,1,9,1,13,1,9,1,13,2,6,1,13,1,8,1,13,1,9,2,13,4,8,1,13,2,8,1,13,1,9,1,13,1,9,1,13,3,8,1,13,6,8,2,13,5,8,1,29,1,13,1,9,1,8,1,13,3,9,3,8,3,13,2,9,1,8,1,9,3,8,3,9,2,8,1,9,2,8,1,11,1,10,1,9,1,11,2,9,3,16,1,17,1,16,1,10,1,9,1,11,1,10,1,8,1,9,1,8,1,9,2,13,1,11,1,9,1,11,1,9,6,16,1,9,1,11,1,9,1,11,1,17,6,16,1,11,1,17,2,16,1,17,1,16,3,11,1,9,1,17,2,16,1,17,1,16,1,17,1,16,1,17,3,16,1,17,7,16,1,17,18,16,1,17,7,16,2,17,1,16,4,17,1,11,1,17,1,16,3,17,1,16,3,10,1,17,1,16,1,17,1,16,1,17,1,9,1,17,1,16,1,17,2,16,3,11,1,17,1,11,1,17,2,16,2,17,4,16,2,11,1,16,5,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,4,16,2,11,2,9,1,11,1,16,2,11,1,16,1,11,1,13,1,11,2,16,1,11,1,9,2,11,1,16,1,11,1,16,3,9,1,11,1,16,2,11,1,16,1,9,1,11,1,9,1,10,1,9,2,13,1,9,1,13,1,10,1,8,1,9,1,11,2,9,1,8,1,9,7,11,1,16,1,9,2,16,3,11,2,16,1,11,1,16,3,11,1,16,1,9,1,11,1,9,10,16,1,11,1,8,1,9,2,8,1,9,3,16,1,9,2,16,1,13,1,9,1,13,1,11,1,9,2,11,1,9,5,8,1,9,2,11,2,9,1,10,1,11,1,9,1,10,1,11,2,9,1,11,1,9,1,11,1,9,1,11,2,16,1,11,1,9,1,8,1,9,1,11,3,9,1,11,1,9,1,11,1,16,2,11,2,16,1,9,1,11,2,16,1,10,1,8,1,11,2,10,1,11,1,10,1,8,1,9,1,8,1,10,1,9,2,8,1,9,1,10,1,9,1,24,1,7,1,24,1,8,2,24,2,13,1,8,1,24,1,13,2,7,1,8,3,6,1,8,3,13,1,8,1,13,1,8,1,7,1,8,1,24,1,8,2,7,1,13,2,8,1,9,1,13,1,8,1,24,1,8,1,24,1,13,1,8,1,13,2,8,3,13,2,30,1,13,1,6,1,13,3,24,2,17,3,10,1,6,1,13,1,9,6,8,1,13,1,9,1,8,1,13,1,9,4,8,1,13,1,8,1,9,1,13,1,9,2,8,2,13,2,9,1,13,1,9,4,13,1,8,1,13,1,8,1,13,1,8,2,13,1,8,1,9,1,8,5,13,1,8,1,13,1,10,1,13,4,8,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,2,8,1,13,3,8,1,9,1,13,2,8,1,13,2,9,1,13,2,7,1,13,7,8,3,13,7,7,1,13,2,8,1,13,2,8,1,13,3,9,2,10,1,9,1,11,1,17,1,9,3,11,1,9,3,11,1,9,5,10,1,11,1,10,1,9,2,11,1,9,10,11,1,9,3,11,1,9,1,11,1,13,1,11,3,9,1,11,2,9,1,11,1,10,1,11,2,9,1,16,2,11,2,9,1,11,3,16,2,11,2,9,1,11,1,16,2,11,2,9,1,16,1,9,2,11,2,9,1,16,1,9,2,16,1,13,1,11,1,9,1,10,1,9,3,11,4,9,2,11,2,9,2,11,1,9,3,11,1,16,1,11,1,16,2,11,1,9,1,11,1,16,2,8,1,11,1,9,1,11,2,9,1,16,1,9,2,11,1,9,4,10,1,13,1,9,2,10,1,9,1,16,1,11,1,9,2,11,2,8,1,11,2,9,1,8,1,11,1,9,2,16,1,9,1,11,1,16,2,9,1,11,2,9,2,11,2,9,1,11,3,9,2,10,1,9,1,11,4,16,4,11,1,16,1,11,1,16,6,17,1,11,1,16,1,11,2,16,1,17,3,16,2,11,1,16,1,11,1,9,3,11,1,9,1,8,1,9,1,8,2,9,1,13,1,9,1,8,1,9,6,13,1,9,2,11,1,9,2,11,2,16,2,11,3,16,1,11,1,16,6,17,11,16,1,17,1,16,2,11,1,9,1,10,1,9,2,16,1,11,2,16,1,11,4,17,3,16,3,11,2,16,1,11,2,16,1,9,1,16,2,11,3,10,2,9,1,11,2,9,3,11,3,16,2,9,1,17,1,16,1,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,1,9,1,16,5,5,212,9,1,28,2,6,3,8,1,6,1,30,2,28,1,30,1,29,2,28,1,29,1,17,12,16,1,5,63,33,1,28,2,29,1,24,1,9,1,16,1,12,1,11,1,12,2,10,1,24,1,9,1,8,1,16,1,17,4,9,2,24,1,9,1,10,2,24,1,9,2,8,1,10,1,17,2,12,1,8,1,13,1,7,1,9,1,13,1,9,1,17,4,12,1,9,1,10,2,12,1,24,1,15,1,8,1,9,1,8,1,6,1,13,1,8,3,13,2,8,1,13,2,7,1,8,2,13,2,8,1,6,1,13,1,14,2,17,1,12,1,17,1,12,1,11,1,17,3,12,1,8,3,13,1,24,1,8,1,17,1,12,1,17,1,24,1,6,1,28,1,6,1,30,1,13,1,8,1,24,1,29,1,28,1,8,1,9,2,}, {6,2,7,1,13,1,8,1,24,2,14,1,10,1,24,1,7,1,6,1,29,1,30,1,7,1,6,1,13,1,8,1,9,1,12,1,24,1,13,1,6,1,13,2,8,1,12,1,17,2,9,1,6,2,8,1,29,1,6,1,13,1,6,1,8,1,13,2,6,1,8,1,28,1,6,1,7,1,8,1,30,1,8,1,13,1,24,1,7,1,6,2,7,1,30,1,6,1,30,1,8,1,6,1,29,1,7,1,6,1,13,1,24,1,9,1,12,1,11,1,12,1,17,1,12,1,15,1,9,1,8,2,6,1,7,1,8,2,13,1,29,1,8,1,14,2,11,1,9,1,13,1,24,1,13,1,12,1,17,1,12,1,8,1,13,1,17,2,8,3,9,2,12,1,17,5,16,1,17,1,11,1,16,2,17,1,16,1,17,8,10,1,9,1,12,1,8,1,16,1,17,1,9,1,11,1,15,1,9,1,15,1,24,1,14,1,15,2,12,1,11,1,9,1,15,1,8,1,14,1,16,1,24,1,16,1,17,8,16,1,10,1,12,2,17,1,12,1,17,5,11,1,17,2,16,1,10,1,17,2,11,1,17,7,16,1,17,47,11,1,13,2,6,1,29,1,6,1,13,1,12,1,9,1,11,2,24,1,9,1,6,1,24,1,13,3,30,1,24,1,13,2,8,1,6,1,30,1,29,1,6,1,8,3,7,1,8,1,24,1,10,1,12,1,15,1,14,1,8,1,28,14,6,1,10,1,17,1,16,1,17,1,16,3,17,2,16,6,11,1,16,3,11,1,9,1,11,1,9,1,11,1,9,4,11,1,9,1,11,1,9,2,11,1,9,5,11,1,16,1,11,2,16,1,13,3,9,1,13,1,9,1,13,1,9,1,13,1,9,2,16,3,17,1,16,1,17,3,16,1,17,5,16,1,17,1,16,1,17,1,16,3,9,1,11,2,16,1,13,2,9,2,13,7,8,1,13,1,9,1,6,1,13,1,6,1,13,4,9,4,13,1,11,1,16,1,11,1,16,2,11,1,16,3,17,2,16,1,17,1,16,2,11,3,9,2,13,1,9,1,13,10,9,2,16,2,9,2,13,1,9,1,13,2,9,1,11,1,16,5,17,3,16,3,9,2,16,4,11,1,9,4,13,1,6,2,30,4,28,1,6,1,9,1,11,1,9,1,16,3,11,3,9,1,13,1,9,1,13,3,30,1,13,1,6,2,13,2,30,1,13,1,6,1,13,3,6,1,9,1,11,1,9,1,11,3,16,2,17,3,16,1,11,2,9,3,13,1,9,1,13,1,9,4,16,2,17,2,16,1,17,1,16,1,11,1,16,3,9,6,13,1,9,1,13,1,8,1,13,1,9,1,13,4,9,2,13,1,9,1,11,1,9,1,13,1,9,1,13,6,8,1,13,1,9,3,11,1,16,1,17,7,11,1,13,1,29,1,6,1,30,1,6,1,30,1,6,1,13,4,8,1,9,1,7,1,9,1,6,1,8,1,13,3,8,1,13,1,6,1,30,1,13,1,6,2,29,1,13,1,7,1,29,1,7,1,13,3,9,1,11,1,9,1,11,2,9,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,2,11,2,17,2,11,5,10,1,17,7,16,1,17,3,16,1,17,2,16,1,17,1,16,5,11,1,17,1,16,2,10,1,16,1,10,1,16,2,11,3,16,1,11,4,16,2,9,1,16,1,11,2,16,1,11,3,16,1,11,1,16,1,11,2,10,1,11,1,9,1,16,1,11,2,9,1,11,1,10,1,9,2,10,1,9,3,16,1,9,1,11,1,16,1,9,1,11,1,16,1,8,1,9,2,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,2,16,1,9,1,11,2,9,2,11,1,9,1,11,1,9,2,11,1,17,1,11,2,10,1,9,1,11,7,16,2,11,1,16,4,10,1,11,1,16,1,11,2,17,1,11,3,16,1,11,1,16,3,11,1,16,1,17,1,11,1,16,1,9,1,16,2,17,1,11,4,16,1,11,2,16,1,11,1,16,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,10,1,9,1,11,2,10,1,17,1,9,1,16,1,11,1,9,1,11,2,16,2,11,1,9,1,16,2,11,1,10,1,16,3,11,2,16,1,17,1,9,1,11,1,17,2,16,3,11,1,16,2,9,1,16,1,17,1,9,2,11,1,9,6,10,1,9,3,11,1,9,2,16,1,10,2,12,1,9,1,11,1,12,1,11,1,9,1,16,3,17,4,8,1,9,1,6,1,28,4,30,1,28,2,13,1,8,2,13,1,9,1,13,1,9,1,8,1,11,1,16,3,9,1,10,1,9,1,10,1,9,1,8,1,16,2,11,3,16,1,11,1,16,1,11,2,16,1,9,1,10,1,9,7,13,1,9,3,11,2,9,4,11,2,9,3,16,1,9,1,11,2,9,1,16,1,9,1,11,1,10,1,11,1,9,2,10,1,9,1,11,1,9,3,11,1,9,2,11,1,10,1,11,5,9,1,16,1,9,1,16,1,9,1,10,1,11,1,16,1,9,1,11,1,17,1,16,4,11,1,16,2,11,2,17,1,16,6,11,1,16,12,17,1,16,2,11,1,16,3,11,2,16,1,17,1,9,1,10,3,9,1,11,1,9,1,16,1,9,1,16,3,11,1,9,1,16,1,11,2,8,1,9,2,8,2,9,1,13,1,9,2,13,1,8,3,13,1,9,2,13,1,8,1,13,1,9,2,13,1,8,1,13,4,9,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,8,3,9,1,8,1,9,2,13,1,9,2,13,1,9,1,13,1,9,1,13,1,8,2,9,3,8,1,9,1,8,1,13,5,9,1,8,1,9,1,8,1,13,1,9,2,13,1,9,2,13,2,9,1,8,1,13,1,9,2,8,1,9,1,8,1,13,2,8,2,9,2,13,1,9,2,13,1,8,1,13,1,9,1,13,1,8,1,13,1,8,1,13,4,7,1,13,1,8,1,13,1,8,4,13,1,8,1,13,2,9,1,8,1,13,2,8,1,13,2,9,1,7,1,9,1,13,3,6,1,13,3,9,1,13,4,8,1,13,1,8,2,6,1,13,1,8,1,13,1,9,1,13,4,8,1,9,1,13,2,8,1,13,2,9,1,13,1,8,1,9,2,13,1,9,2,13,1,9,2,11,2,9,1,8,2,13,2,8,2,13,1,9,1,13,3,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,11,1,8,1,9,3,11,1,17,2,11,1,16,1,17,1,16,1,10,1,12,1,11,1,16,1,11,1,16,1,9,5,16,2,9,1,16,1,11,1,17,2,16,2,8,1,9,1,13,1,9,1,16,2,17,1,10,1,11,1,17,1,10,1,17,2,16,1,17,1,16,1,17,1,16,1,17,7,16,2,17,1,16,1,17,10,16,2,17,1,16,1,11,1,16,1,17,1,16,1,11,2,17,1,16,3,17,1,16,1,10,1,17,1,16,1,11,1,17,1,16,1,11,2,17,1,11,1,16,1,17,1,16,1,17,9,16,1,11,1,17,4,16,2,17,2,16,2,17,9,16,3,17,1,16,1,17,2,16,1,17,1,16,2,17,1,16,2,17,2,16,4,17,5,16,1,17,1,11,1,17,1,16,1,17,1,9,1,16,1,10,1,11,3,17,1,16,1,11,2,9,1,11,2,16,1,9,1,16,1,11,1,9,1,16,1,11,1,16,2,11,3,10,1,11,1,16,1,17,2,16,2,11,2,17,1,9,3,11,1,9,2,11,1,9,1,11,1,13,1,9,1,8,1,9,4,11,1,9,2,10,1,9,1,10,1,9,1,11,2,9,3,11,1,9,1,11,1,9,2,11,1,9,3,11,1,9,4,10,1,8,1,9,2,16,1,11,2,9,3,11,2,16,2,11,1,9,1,10,1,9,1,11,2,16,1,11,4,9,1,16,1,11,1,16,1,11,4,9,1,11,1,16,2,9,1,11,1,16,1,11,2,12,1,9,1,8,1,11,1,13,1,12,1,24,3,8,1,13,1,24,1,9,1,12,1,13,1,24,2,8,1,24,1,8,2,13,2,8,3,13,1,8,1,13,1,9,1,13,1,24,1,7,1,13,1,7,1,13,2,8,2,13,1,8,1,9,1,13,1,24,1,7,1,13,1,8,1,13,1,9,1,24,1,8,1,24,1,9,1,13,1,8,3,13,1,7,2,30,1,6,2,13,1,7,1,13,1,8,2,17,4,9,1,30,1,7,1,9,1,10,1,11,3,9,1,13,1,9,1,8,1,9,7,8,2,9,1,13,1,8,1,9,3,13,1,9,1,13,1,9,2,13,1,8,1,13,2,8,1,13,6,9,1,13,2,9,1,13,2,9,2,13,3,8,1,13,1,8,2,9,1,13,2,8,1,13,1,9,1,13,1,8,1,9,1,8,1,13,2,8,1,9,1,13,2,8,1,13,1,8,1,13,4,9,1,13,3,8,2,9,1,13,12,8,1,13,3,6,2,13,1,6,1,30,1,13,1,9,2,13,1,8,1,13,1,7,1,30,1,13,1,8,1,13,1,9,1,11,1,9,1,13,1,9,3,10,1,11,1,9,2,13,1,9,1,13,2,8,1,13,3,29,1,7,1,30,1,13,1,6,1,13,3,9,2,13,1,11,1,9,2,11,1,9,2,11,2,9,1,11,2,9,1,10,2,11,1,16,1,11,2,9,1,11,1,9,1,11,5,9,1,16,1,11,1,10,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,11,1,9,2,8,1,6,1,11,1,13,1,9,4,11,1,16,1,11,1,9,2,11,6,9,1,11,1,9,3,11,1,9,1,11,1,9,1,11,2,16,1,10,1,11,1,16,1,11,3,9,2,11,2,9,2,8,1,9,2,10,1,9,1,11,3,16,1,13,1,9,5,11,1,9,1,11,2,9,1,11,1,8,1,9,3,11,1,8,1,9,1,11,2,16,1,11,1,9,1,11,8,9,1,16,1,11,3,16,1,11,1,17,1,16,5,11,1,16,1,17,1,16,2,11,1,16,4,11,1,16,1,11,1,17,3,16,1,17,1,16,3,11,2,9,1,11,1,10,1,11,1,9,3,13,1,9,1,8,1,13,2,8,1,9,1,8,1,9,2,8,2,13,1,9,2,8,1,9,1,11,2,16,1,9,1,10,1,16,1,9,2,11,1,9,6,10,1,9,1,11,1,16,4,17,4,16,1,17,4,16,9,11,1,16,1,17,1,11,1,16,1,17,1,16,1,17,4,16,2,11,2,16,2,10,1,11,1,16,1,11,8,9,1,11,2,16,2,17,1,11,2,16,5,11,3,16,1,10,1,16,1,11,1,16,2,9,1,16,1,11,1,16,1,11,2,9,1,11,2,9,1,11,1,9,1,11,1,5,1,16,3,5,1,16,2,5,193,9,1,6,1,28,2,6,1,13,1,6,1,29,2,30,2,29,1,6,1,30,1,28,1,7,1,11,1,17,12,16,1,5,62,33,1,28,2,30,1,9,1,16,1,9,1,11,1,12,2,11,1,9,1,8,3,12,1,17,3,16,1,24,1,12,2,24,1,16,1,24,1,8,2,9,1,16,1,17,4,13,1,8,1,13,1,7,1,8,1,11,1,17,4,11,1,9,2,12,1,24,1,13,1,24,1,13,1,15,1,9,1,24,1,9,1,6,1,12,1,13,1,8,1,13,4,8,1,6,1,13,2,7,1,13,1,6,1,24,2,15,1,16,1,9,2,12,1,10,1,11,1,17,2,12,1,9,1,8,2,24,1,8,2,9,1,12,1,24,1,17,1,30,1,6,1,7,1,28,1,7,1,6,1,9,1,6,2,8,1,9,1,24,1,}, {29,2,6,1,13,1,8,2,24,1,14,2,8,1,13,1,29,4,28,1,13,1,9,1,10,1,24,1,8,1,13,1,8,1,7,2,8,1,9,1,17,1,10,1,8,1,13,3,7,1,6,1,8,1,13,1,24,1,10,1,13,1,8,1,7,1,13,1,6,1,8,1,6,1,8,1,24,1,8,2,13,2,6,2,7,1,6,1,30,3,6,1,13,1,7,1,6,1,8,1,10,1,14,1,10,1,14,1,9,1,12,1,13,1,12,1,15,1,8,1,13,1,8,1,13,1,24,1,8,1,6,1,9,1,14,2,11,1,12,1,13,2,9,2,16,1,11,1,8,1,9,1,17,2,10,1,9,1,12,1,16,1,13,1,16,1,17,5,12,1,17,1,11,1,9,1,17,3,14,1,17,1,12,1,17,5,9,1,10,1,16,1,11,1,10,1,8,1,16,1,12,1,16,2,15,1,9,1,15,2,14,1,24,1,10,1,15,1,12,1,9,1,15,1,9,1,14,1,17,9,10,1,9,1,10,1,12,1,16,1,17,3,16,2,17,7,11,1,17,8,16,1,17,39,10,1,11,1,9,1,10,1,11,1,9,1,17,2,9,1,6,4,8,1,11,1,17,1,9,1,15,1,17,1,8,1,9,1,8,1,9,1,13,4,6,1,8,1,7,2,29,1,6,2,30,1,13,1,8,2,24,1,8,1,9,2,10,1,14,2,9,1,30,1,28,13,13,1,10,1,11,1,17,1,16,5,17,4,16,4,11,1,16,3,9,1,11,1,9,2,11,1,9,1,16,1,11,2,16,1,9,1,11,1,9,3,13,1,9,3,11,3,9,2,8,1,13,3,9,1,13,2,9,2,11,3,16,4,17,1,16,1,17,6,16,1,17,1,16,1,17,3,16,5,9,1,13,1,9,2,13,8,9,1,13,2,9,1,13,6,8,1,13,2,9,2,16,1,11,1,16,2,11,1,16,2,17,1,16,1,17,1,16,4,9,1,11,2,16,1,9,3,13,1,9,2,13,5,6,1,13,1,6,1,13,1,11,1,16,1,11,1,16,2,9,2,13,1,8,1,11,1,16,5,17,5,16,6,11,1,9,1,11,2,13,2,6,1,28,1,30,1,28,1,6,2,30,1,6,1,13,1,9,1,11,2,9,1,11,2,16,1,11,1,9,2,11,1,9,2,13,3,6,1,13,1,30,1,6,4,13,1,30,1,13,3,9,2,11,1,16,1,10,1,11,1,16,2,17,3,16,2,9,11,11,1,16,1,17,4,16,1,17,1,16,3,11,1,9,6,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,13,1,9,2,13,1,9,3,13,4,9,1,13,1,9,1,13,1,9,2,13,1,9,1,16,1,17,1,16,1,17,6,16,1,13,2,7,1,30,1,13,4,8,1,9,1,8,1,9,1,13,2,8,1,13,1,8,1,13,1,30,1,13,2,8,1,29,1,13,2,29,1,6,1,13,1,6,1,13,1,7,1,6,1,13,3,9,1,8,1,9,2,10,1,8,1,11,1,10,1,16,3,17,1,16,1,12,1,17,2,16,2,11,1,9,1,17,1,11,1,9,1,11,1,9,3,11,1,17,6,16,3,17,1,16,4,17,1,16,5,17,1,11,1,16,4,11,2,16,2,11,2,16,1,11,2,9,1,16,2,11,1,16,2,11,2,16,1,11,4,16,2,9,1,10,1,16,1,11,1,16,1,11,3,10,1,9,1,11,1,16,1,9,2,16,1,11,2,9,2,16,2,11,2,9,1,11,2,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,4,11,4,9,1,11,1,10,1,9,1,11,2,9,1,8,1,11,3,9,2,11,1,9,1,11,1,16,2,11,2,16,1,10,2,16,1,17,1,16,2,11,1,17,1,16,1,11,1,16,1,9,1,11,1,16,1,11,3,16,1,11,1,16,2,11,3,16,5,11,1,16,4,17,1,11,2,9,1,11,1,9,1,11,6,9,2,11,2,9,1,11,5,16,1,11,1,16,1,11,4,16,1,11,6,17,1,16,1,11,2,16,3,17,1,16,3,11,1,16,1,11,2,16,1,11,3,16,2,9,2,8,1,11,1,9,1,11,1,10,1,11,1,13,1,10,1,9,2,11,1,13,1,11,1,13,1,11,1,9,2,11,2,9,1,16,1,17,6,11,1,13,2,30,1,28,2,29,1,6,1,12,1,9,1,12,1,9,3,13,1,9,1,8,2,10,1,13,1,10,1,9,4,11,1,9,1,16,1,11,2,16,1,11,1,17,1,11,1,17,1,16,2,11,3,9,1,11,2,9,3,13,1,8,2,11,1,9,1,10,3,9,3,11,2,9,2,16,1,11,2,16,1,10,1,11,1,16,2,9,1,16,1,11,1,10,1,11,2,16,3,11,2,16,1,11,3,10,1,16,4,11,1,10,1,11,1,10,1,11,2,9,1,16,1,11,1,16,4,11,1,16,6,11,3,16,3,11,2,16,1,11,1,10,1,9,1,16,2,11,1,9,2,11,2,9,2,11,1,9,2,13,1,9,1,10,1,9,4,8,1,9,2,8,1,9,5,8,1,9,1,8,1,9,1,8,2,9,5,11,1,9,6,13,1,9,4,8,1,10,1,9,3,11,1,13,2,10,1,13,2,9,1,8,2,13,2,8,1,13,1,9,2,8,1,9,1,8,3,13,1,9,1,10,1,13,1,9,1,13,1,9,2,8,2,9,1,13,1,9,6,8,2,13,2,8,1,13,3,9,1,8,1,9,1,8,1,9,3,13,1,11,1,9,1,8,2,13,1,8,1,13,1,8,1,9,1,8,1,9,1,8,2,13,1,8,1,13,1,9,2,8,1,9,2,8,1,13,5,8,1,13,2,9,1,6,1,13,1,9,1,6,1,13,6,9,1,8,1,13,2,8,1,6,1,8,2,13,2,8,1,13,4,8,2,13,2,8,1,13,4,8,1,13,3,7,1,8,1,13,3,6,1,7,1,13,2,7,1,9,1,13,1,9,1,13,3,8,1,9,2,8,5,9,1,8,1,9,4,13,1,9,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,13,1,9,5,10,1,9,2,11,1,17,2,16,1,9,2,11,1,13,2,9,1,11,2,9,3,13,1,8,1,9,2,13,1,9,1,13,1,16,1,9,1,11,1,9,6,13,2,9,1,8,1,9,4,8,1,9,1,13,1,9,5,13,1,9,1,16,1,9,3,10,1,9,1,10,1,9,1,16,1,11,1,9,1,11,1,16,2,17,1,16,1,9,1,16,2,17,7,16,1,17,1,16,1,17,2,11,1,17,1,16,2,11,1,16,2,11,1,17,2,16,3,11,1,16,3,17,2,16,1,17,1,16,6,17,1,16,2,11,1,16,1,17,1,16,1,17,1,16,1,17,2,16,2,17,1,11,1,16,1,11,1,16,1,17,1,11,1,16,1,17,12,10,1,16,3,17,1,16,2,17,2,16,5,11,1,17,1,16,1,11,1,16,1,17,1,16,1,11,1,17,1,16,1,17,1,16,2,17,1,16,4,9,1,16,4,17,1,16,2,17,1,11,1,17,6,9,1,11,1,16,2,9,1,11,1,9,1,10,1,9,1,16,1,10,1,9,3,11,1,9,2,11,1,9,1,10,1,11,2,16,1,11,4,16,1,9,3,11,2,9,4,11,3,16,2,11,1,16,1,9,2,10,1,11,1,9,2,11,3,16,1,11,1,10,1,16,1,9,2,11,2,10,1,16,2,11,2,9,1,16,1,11,1,16,3,11,1,16,1,11,1,16,2,11,1,16,1,11,2,8,1,11,1,16,1,12,1,9,1,11,1,9,1,11,1,9,1,12,1,9,1,24,2,8,1,9,1,24,1,9,3,24,1,13,1,8,3,24,3,8,1,13,1,8,2,13,1,8,1,13,1,8,2,13,1,9,1,8,4,24,1,8,1,13,1,24,1,13,1,8,2,13,1,8,1,7,1,13,1,8,2,9,1,8,2,24,1,13,1,8,1,7,1,8,2,7,2,8,1,6,2,7,1,8,4,17,5,13,3,9,1,11,1,9,1,11,1,10,1,11,1,9,14,10,1,13,1,9,1,8,2,13,1,9,2,10,1,13,1,8,2,9,1,8,1,9,1,8,2,9,1,13,2,9,2,13,1,9,1,13,1,8,5,13,1,8,2,9,1,8,1,13,4,8,1,9,1,8,1,9,3,13,1,9,1,13,1,9,1,13,1,9,1,13,4,8,1,9,1,13,5,8,2,9,1,13,1,8,1,13,2,8,1,7,1,30,1,28,1,29,1,13,1,9,1,8,2,6,1,13,1,30,1,7,1,30,1,28,1,7,1,6,1,13,1,7,1,9,1,8,1,9,2,11,1,10,2,11,2,17,2,12,1,17,2,11,1,17,2,12,1,16,1,17,2,9,1,11,1,10,1,8,1,9,1,13,1,8,1,13,3,6,1,13,1,6,2,8,1,13,1,9,1,13,3,9,1,13,1,9,3,13,1,9,2,8,1,9,3,8,1,16,1,9,2,11,1,16,1,9,1,16,1,10,1,9,1,11,1,9,1,11,1,16,1,11,2,9,1,11,2,9,2,11,1,9,1,16,1,11,1,9,1,11,1,9,1,13,1,9,2,11,1,9,1,11,1,10,1,11,1,9,1,11,2,16,1,11,1,9,2,11,2,16,1,11,2,9,2,11,2,9,2,11,2,16,1,9,1,11,7,9,1,10,1,11,1,16,1,10,1,11,1,9,2,8,1,11,2,9,2,11,1,9,7,11,1,9,1,11,2,13,1,11,1,9,1,11,1,9,2,11,1,9,3,16,1,11,2,9,2,16,1,11,1,9,2,11,2,9,1,11,3,16,1,11,1,16,2,11,1,16,3,17,1,16,5,17,1,11,1,9,1,16,1,11,1,16,1,11,2,16,3,17,1,16,3,11,2,10,1,16,1,11,2,9,3,10,2,13,1,9,3,8,1,9,3,13,4,9,1,13,1,9,2,16,1,9,2,11,1,9,2,11,1,9,2,11,1,9,3,11,3,16,1,9,2,16,1,11,2,9,1,11,2,16,1,11,1,9,1,11,2,16,1,11,2,9,1,16,2,11,1,16,1,11,1,16,1,11,1,16,2,17,6,16,2,17,2,16,3,17,1,16,4,11,1,16,2,9,1,11,1,10,1,9,1,11,1,16,1,9,1,11,1,16,3,11,2,16,1,11,2,16,1,11,3,9,1,16,1,11,1,16,3,17,1,16,7,11,4,16,1,11,1,9,1,11,2,16,2,11,1,9,1,5,192,13,1,28,2,30,1,13,1,6,1,7,1,6,1,30,5,28,1,30,2,9,1,17,1,16,1,17,10,16,3,5,60,13,1,28,3,6,1,11,1,8,1,24,1,12,1,9,1,12,1,9,2,10,1,9,1,10,1,17,2,16,1,17,1,8,1,12,1,9,1,13,1,24,1,9,1,13,1,8,2,9,1,16,1,17,3,8,1,13,1,8,1,13,1,9,1,10,1,17,4,9,2,13,1,9,1,8,1,12,1,10,1,8,2,24,1,13,1,8,1,13,1,24,1,8,1,24,1,6,1,13,2,24,1,13,2,24,1,13,2,6,1,7,1,9,1,14,2,16,1,12,1,9,1,10,1,9,2,17,2,12,2,8,2,9,1,13,2,9,1,10,1,17,1,24,1,6,1,29,1,30,1,6,1,13,1,9,1,13,1,7,1,6,1,8,1,12,1,8,1,}, {6,3,13,1,8,2,9,1,10,1,14,1,9,1,6,2,30,1,29,1,13,1,29,1,7,1,24,1,10,2,8,1,13,2,7,1,29,1,13,1,12,1,17,1,11,1,8,1,13,1,8,1,7,1,13,2,8,1,6,1,8,1,24,2,8,1,6,1,13,3,6,1,9,1,7,1,13,4,29,2,6,2,13,1,30,1,6,1,7,1,6,1,29,1,8,2,9,1,12,1,24,1,17,1,9,1,17,1,11,1,12,2,8,1,13,2,9,1,24,1,8,1,9,1,16,2,14,1,9,1,11,1,8,2,11,1,9,2,16,1,13,1,9,1,17,2,9,2,8,1,9,1,7,1,12,1,17,5,16,1,10,1,8,1,9,1,17,4,16,1,17,1,16,1,17,4,9,1,16,1,9,1,11,2,9,1,17,1,12,1,17,1,9,1,17,1,15,1,10,1,14,1,15,1,10,1,9,1,15,1,14,1,8,1,15,1,9,1,16,1,17,1,16,1,14,2,17,4,9,1,17,1,16,3,9,1,12,1,11,1,17,3,16,1,17,3,11,1,17,2,16,1,17,7,16,1,17,1,16,1,17,33,11,1,12,1,9,1,8,1,13,1,6,1,13,4,11,1,17,2,9,1,13,1,7,1,30,1,7,2,8,1,17,1,9,1,11,1,9,2,13,1,8,1,10,1,9,2,7,2,24,2,13,1,29,1,28,1,30,1,6,1,29,1,6,1,30,1,13,1,8,1,24,1,8,1,10,1,9,1,15,1,14,1,9,1,6,1,30,1,28,12,13,1,9,1,17,1,16,4,17,5,16,7,11,3,9,3,16,1,11,1,9,1,16,1,9,1,11,2,9,1,11,2,9,3,16,2,11,1,16,3,13,1,9,5,16,1,9,3,16,1,11,1,16,2,17,1,16,1,17,1,16,1,17,7,16,1,17,1,16,1,17,1,16,1,17,1,16,6,9,4,16,1,9,1,13,3,8,1,13,8,9,1,13,2,9,1,13,1,9,3,10,1,11,1,16,2,11,1,16,8,11,2,9,1,16,1,11,1,16,1,9,3,13,10,6,1,13,1,16,4,9,4,11,1,16,1,11,1,16,1,17,1,16,2,17,2,16,2,17,1,16,5,11,1,9,1,13,2,6,3,30,1,6,1,30,2,6,1,13,1,9,1,16,1,11,1,16,1,11,1,16,1,11,2,9,3,13,1,9,3,13,2,30,2,13,1,30,2,6,2,13,4,9,3,11,1,16,1,11,2,16,1,11,1,16,1,17,3,16,2,9,9,13,1,16,3,17,4,16,1,17,1,16,2,11,1,9,1,11,1,9,3,13,1,9,3,8,1,9,1,13,1,8,1,13,1,9,1,13,2,9,2,13,2,9,4,13,2,9,1,13,2,9,1,13,1,9,4,11,2,16,1,17,8,16,1,13,4,8,3,13,2,8,2,13,3,7,1,13,4,8,1,13,2,6,1,13,1,29,1,13,1,8,1,13,2,30,1,7,1,13,1,30,1,7,1,13,1,9,2,13,1,9,2,11,1,16,1,11,1,10,1,16,1,11,1,16,1,10,1,11,2,17,1,11,1,16,1,9,1,16,1,17,1,10,1,11,2,9,1,11,3,17,4,16,10,17,1,16,2,17,2,11,1,16,4,17,1,11,1,16,4,11,2,10,1,11,1,9,1,11,1,16,4,11,2,16,1,9,1,11,2,9,1,11,1,16,2,11,1,9,2,11,1,16,1,11,1,16,1,11,1,16,2,9,1,11,1,16,1,9,1,11,2,9,1,11,3,16,1,11,4,9,3,10,1,9,2,11,1,16,1,9,5,11,1,9,1,11,1,9,1,11,2,9,1,10,1,11,1,9,3,16,1,9,1,11,2,16,2,9,1,11,1,9,1,11,3,16,4,9,4,11,4,17,1,11,2,17,1,16,1,11,1,16,1,17,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,3,10,1,16,1,9,1,11,3,9,2,11,1,9,2,13,1,9,1,11,2,9,1,10,3,16,1,11,3,9,2,16,1,9,2,16,1,9,1,16,1,11,1,16,1,11,1,16,2,11,1,16,2,11,1,10,1,16,1,11,1,16,3,11,1,16,1,17,2,16,1,11,2,10,1,16,1,11,1,9,1,11,1,16,2,13,1,9,4,8,1,13,1,8,1,10,1,9,2,10,1,9,1,10,1,9,2,10,2,11,2,10,1,9,1,11,1,16,1,17,5,13,1,9,1,13,1,30,1,28,2,30,1,6,1,17,3,6,1,8,3,13,1,9,1,12,1,9,2,13,2,11,1,9,1,13,1,9,1,16,2,11,1,16,2,10,1,16,1,11,2,16,1,17,1,11,1,16,1,11,1,9,2,10,1,9,5,11,3,16,1,11,1,16,1,11,1,17,1,11,1,16,1,17,1,11,1,17,3,16,4,17,1,16,1,11,1,16,3,11,1,16,2,11,1,16,1,11,1,16,1,17,1,16,2,10,1,16,1,11,1,16,1,17,1,16,2,10,1,11,2,10,1,17,1,11,1,16,2,9,1,11,1,16,1,9,1,11,1,16,2,11,2,10,1,9,2,11,1,8,1,9,1,8,2,9,1,8,1,9,1,13,1,8,2,13,1,8,1,9,1,8,1,9,2,13,4,9,2,8,1,9,1,8,1,9,1,8,2,9,2,8,2,9,1,8,1,9,1,8,1,9,1,13,1,9,1,8,1,9,1,13,2,9,2,11,1,8,1,9,1,8,3,9,1,8,3,9,1,8,2,13,1,9,3,11,1,9,2,11,1,9,1,6,1,8,3,9,1,8,2,13,1,8,1,13,1,9,2,13,3,8,1,13,1,8,1,9,1,6,1,9,3,16,1,13,1,9,2,13,1,9,1,13,2,8,3,9,2,13,1,8,1,13,1,8,1,13,4,8,1,9,1,8,2,16,1,9,2,8,1,9,2,8,1,9,1,8,2,10,1,9,4,13,1,9,2,8,1,13,1,8,1,9,5,8,2,13,1,9,1,13,2,8,1,13,8,8,1,13,2,9,1,13,8,8,1,9,1,13,5,9,1,13,2,8,1,13,5,8,1,9,1,13,1,8,1,13,2,7,1,13,2,8,1,13,1,6,1,8,1,13,2,9,1,8,1,13,3,8,1,13,1,9,1,8,3,13,1,8,3,13,1,9,1,11,1,10,1,8,1,9,1,8,2,13,1,9,1,8,3,9,1,8,1,13,1,11,1,13,1,9,1,13,1,8,1,13,1,8,1,9,2,8,1,9,1,8,1,9,4,17,2,16,1,9,2,8,1,10,2,11,2,9,1,16,1,11,1,8,1,9,2,13,1,9,2,8,1,9,3,8,1,9,3,8,1,9,2,13,1,9,2,8,1,9,1,13,1,8,1,9,3,11,1,9,3,8,1,9,1,13,1,9,3,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,4,8,1,13,1,9,1,8,1,13,3,9,1,13,1,9,1,16,1,11,1,9,2,10,1,9,4,8,1,9,1,16,1,10,1,9,1,16,3,11,1,17,2,16,2,17,1,16,1,11,1,17,1,9,1,16,1,9,1,16,1,11,1,16,3,17,1,16,1,17,3,16,2,17,2,16,2,17,3,16,1,17,2,16,1,17,1,11,1,16,1,17,1,16,1,11,1,17,1,16,1,17,2,16,2,17,1,16,2,17,2,11,1,16,2,17,1,16,1,17,2,16,4,17,1,16,1,17,1,11,2,17,1,16,3,11,1,16,1,17,1,16,2,17,1,16,3,17,1,9,1,16,1,17,1,11,1,16,3,17,2,10,1,17,2,16,2,9,1,17,1,9,1,17,1,16,2,11,1,9,1,16,1,11,1,16,6,9,1,11,1,9,1,16,1,10,1,11,1,16,1,11,1,16,4,11,2,9,1,11,1,10,2,9,2,11,3,16,1,17,1,16,1,11,2,10,1,11,2,16,1,11,1,16,3,11,3,16,2,11,1,9,1,16,4,11,3,9,1,11,1,16,2,11,1,16,3,11,1,16,1,11,3,16,3,9,1,10,1,16,1,10,1,11,1,10,1,9,3,8,1,24,1,9,1,8,1,9,1,13,1,24,1,9,1,13,1,8,1,24,1,10,1,13,1,24,1,13,1,8,1,13,1,8,2,13,1,24,1,8,1,13,1,8,1,13,1,8,6,13,2,24,1,8,2,6,1,8,1,13,1,24,1,8,2,13,1,24,1,8,3,9,1,24,3,13,2,8,1,13,1,6,1,29,1,6,1,7,1,6,2,8,1,13,1,7,1,8,1,13,1,17,6,11,1,6,1,13,1,9,1,11,3,16,1,9,1,11,2,9,1,8,1,16,1,9,9,8,1,9,1,10,1,9,2,8,1,9,7,8,1,9,1,8,3,13,2,9,1,13,1,9,4,8,2,9,2,8,1,9,2,13,4,8,2,9,1,13,1,9,1,13,3,9,2,13,4,9,1,8,1,13,1,8,2,13,10,6,3,11,1,9,1,13,1,8,1,13,2,30,1,6,1,30,1,28,2,6,1,29,1,6,1,13,1,8,2,9,2,11,1,9,1,11,2,13,1,8,2,9,5,8,1,9,3,24,1,11,2,12,1,17,3,12,1,17,1,11,1,13,4,8,1,30,1,13,2,6,1,29,1,6,1,13,1,9,1,13,1,10,1,9,1,13,1,9,5,13,3,8,1,13,1,11,1,9,2,8,1,9,2,11,3,9,1,11,1,9,3,10,1,9,1,11,1,9,1,11,1,10,2,9,1,11,1,9,1,11,3,9,1,10,1,11,1,9,1,11,1,10,1,11,2,9,1,11,1,9,1,11,3,9,1,16,1,11,3,9,4,11,1,16,1,9,1,16,1,9,1,16,1,10,1,11,3,9,1,16,1,9,1,11,1,9,1,11,3,9,2,11,1,9,4,16,1,9,1,11,1,9,3,11,1,9,1,10,2,11,1,9,1,11,2,9,1,11,1,9,2,10,1,11,1,9,3,13,1,11,2,16,1,11,1,9,1,16,1,10,1,11,1,9,1,11,1,9,1,11,4,16,1,11,1,10,1,16,1,10,1,16,5,17,1,16,2,17,1,16,1,11,1,9,1,16,1,9,1,11,3,16,1,17,1,16,3,17,1,11,2,9,1,17,1,11,2,9,1,11,1,9,1,16,1,9,1,11,2,9,3,8,1,13,2,8,1,9,5,13,1,8,1,9,6,11,2,8,1,16,1,8,1,9,3,10,1,9,1,11,2,16,2,11,1,9,1,17,1,16,1,9,1,16,1,10,1,11,2,9,2,13,1,9,1,13,5,9,1,11,1,16,5,17,5,16,3,17,3,16,2,17,1,16,1,11,3,16,2,17,2,16,4,17,1,16,4,11,1,16,1,9,1,11,2,9,2,11,1,9,1,11,1,16,1,11,2,16,1,17,1,16,2,17,1,16,10,11,1,16,3,9,1,16,1,11,1,16,3,17,1,16,5,5,1,16,1,5,181,30,2,28,2,6,2,13,1,29,1,6,1,30,1,28,1,29,2,30,2,7,1,13,1,16,1,17,14,16,1,5,60,6,1,28,3,13,1,8,1,13,1,9,2,17,1,9,2,16,1,9,2,11,1,17,2,16,1,17,1,11,1,12,2,10,1,13,1,10,1,8,1,9,1,11,1,8,1,16,1,17,1,14,1,17,1,10,1,8,1,24,1,13,1,8,1,9,1,17,3,12,2,17,1,10,1,9,1,12,1,10,2,9,1,8,1,24,1,8,2,24,1,8,2,6,2,24,1,10,1,7,1,8,1,6,1,24,2,13,2,29,1,8,1,15,1,17,1,12,1,16,1,9,1,12,1,8,1,17,4,13,1,8,1,24,1,8,1,24,1,8,1,10,1,12,1,17,1,13,1,29,1,6,1,28,1,29,1,6,1,9,1,13,1,6,2,10,1,9,1,12,1,}, {6,1,29,2,7,1,24,1,8,1,14,1,12,1,9,1,10,1,13,1,30,1,6,1,29,1,30,2,8,1,13,1,15,2,9,1,24,1,13,1,28,1,13,2,14,1,17,1,10,3,24,1,8,1,24,2,7,1,6,1,9,1,24,1,8,1,13,1,8,1,6,1,7,2,30,1,8,1,24,1,13,1,7,1,6,1,7,1,6,1,29,1,6,3,13,1,6,1,8,1,6,1,7,1,13,1,10,1,24,1,15,1,12,1,15,1,9,1,12,1,9,1,15,1,24,2,9,1,8,1,9,3,13,1,7,1,14,2,9,6,16,2,9,1,10,1,17,2,10,1,11,1,24,1,9,2,17,4,16,1,12,1,16,1,12,1,9,1,12,1,11,1,17,3,16,1,17,6,11,3,17,1,16,1,17,1,14,1,17,1,16,1,17,1,14,1,12,1,17,1,11,1,12,1,8,1,9,2,15,1,9,1,15,1,16,1,14,1,9,1,10,1,17,6,16,1,17,1,8,1,17,1,9,1,11,1,12,1,17,1,12,1,17,1,16,1,17,2,16,1,10,1,16,1,17,10,12,1,17,1,16,1,17,29,16,1,8,1,13,1,7,1,6,1,8,1,30,2,6,1,30,2,6,1,29,1,13,1,8,1,11,1,17,1,10,1,13,1,29,1,13,2,6,1,8,1,12,1,9,3,24,1,11,1,24,1,8,1,9,2,13,3,6,1,13,1,6,1,29,1,6,1,30,1,6,1,7,1,13,1,24,2,8,1,24,1,12,1,10,1,15,1,14,1,13,1,29,1,28,1,30,1,28,11,29,1,11,1,16,7,17,3,16,6,11,4,9,2,13,1,9,2,13,1,11,1,9,1,11,1,16,2,9,3,16,1,11,1,16,2,11,3,16,1,11,1,16,1,8,1,11,1,9,3,11,1,16,9,17,2,16,1,17,1,16,6,17,1,16,2,17,1,16,7,11,1,16,1,11,1,9,4,8,1,13,7,6,1,9,1,13,3,9,1,13,1,9,1,8,1,9,1,16,1,11,3,16,12,11,1,16,1,9,4,11,1,9,1,11,1,13,2,9,2,13,2,8,1,9,1,8,1,11,1,16,3,9,2,16,1,11,1,16,4,17,9,16,2,9,3,13,2,6,2,30,1,6,1,13,1,6,2,9,2,11,1,16,1,11,5,9,1,11,1,9,3,13,7,28,1,7,1,6,2,13,2,30,1,13,3,9,3,16,7,17,2,16,1,11,1,9,1,11,1,9,2,13,3,11,1,13,1,9,2,11,1,16,1,17,6,16,2,11,1,16,1,11,1,9,1,13,1,9,1,13,1,9,3,13,1,9,2,13,1,9,1,13,1,9,2,13,2,9,2,13,3,9,3,13,2,8,2,13,1,9,1,13,1,9,1,13,1,9,3,16,2,17,8,16,1,9,2,10,2,9,1,8,1,13,5,6,1,13,2,6,2,13,2,6,1,7,3,13,1,7,1,6,2,7,1,29,1,7,1,30,1,29,1,13,1,6,1,8,1,13,1,10,1,9,1,12,1,9,1,8,2,10,1,11,2,16,3,9,1,11,1,9,2,12,1,16,2,9,2,11,1,16,1,9,2,11,1,9,2,17,3,16,4,17,1,16,2,17,1,16,3,17,1,16,6,17,1,16,3,11,2,16,1,11,2,9,1,11,1,17,1,16,3,11,1,16,3,11,1,16,1,11,1,9,1,11,1,17,1,16,1,9,1,11,3,16,1,11,2,9,1,11,2,9,1,16,1,11,1,16,2,11,2,9,2,11,1,10,1,16,1,11,1,9,1,11,1,8,1,9,6,11,2,9,1,10,1,9,1,11,1,9,2,11,1,8,1,9,2,10,1,9,1,11,3,9,1,16,1,11,2,9,1,11,1,16,1,9,1,11,1,16,2,9,1,16,1,11,1,16,2,9,1,11,1,9,1,16,2,9,1,16,1,11,2,16,1,11,1,17,2,11,1,16,1,17,2,16,1,17,1,11,1,16,1,17,1,16,2,11,1,16,2,17,1,16,3,11,2,9,2,11,1,10,2,11,3,10,1,11,3,9,1,13,1,11,2,16,1,9,2,11,2,9,1,11,1,9,1,11,2,17,1,16,1,11,5,10,1,11,3,9,1,17,2,16,2,11,4,16,1,11,1,9,1,11,7,9,2,13,1,9,3,8,1,9,2,11,1,9,1,11,1,9,5,8,1,11,1,9,2,11,1,10,1,11,1,17,2,16,1,17,3,16,1,9,1,13,1,28,1,13,1,17,5,11,1,6,1,9,2,13,1,8,1,9,1,8,1,9,2,13,2,8,1,11,1,8,1,9,2,16,3,11,2,16,1,17,2,9,1,16,3,10,1,11,2,16,1,11,1,16,3,9,1,11,2,16,2,17,1,16,1,17,1,11,1,16,1,17,3,11,2,16,8,11,2,9,1,11,3,16,2,11,2,16,1,9,2,10,1,16,1,11,2,9,9,8,1,9,1,8,4,13,1,9,1,8,2,9,2,13,1,8,2,13,1,9,4,8,1,9,2,13,2,8,2,9,2,8,1,13,1,6,2,13,3,6,1,30,1,7,1,13,1,8,1,13,1,29,1,13,1,8,1,9,3,13,2,9,1,13,5,9,2,11,1,9,5,8,2,9,2,8,1,9,1,8,1,9,2,8,1,9,2,11,1,16,2,9,1,11,1,9,1,13,1,9,1,13,1,9,2,8,3,13,4,8,2,13,2,8,1,13,1,8,2,9,2,13,1,8,1,11,1,9,1,8,1,13,1,9,1,13,2,9,2,10,1,13,2,8,1,13,5,8,1,13,1,8,1,13,2,11,1,9,1,8,1,9,4,8,2,9,2,8,1,9,2,10,1,8,1,9,2,13,1,8,2,9,1,8,1,11,1,9,1,13,5,9,2,13,4,9,1,13,5,8,1,13,1,6,1,13,4,8,1,13,1,9,1,13,1,8,1,13,4,6,1,13,7,8,3,13,2,8,2,13,4,9,1,13,1,8,3,13,4,9,1,13,6,9,1,13,2,8,1,13,1,9,1,13,1,9,1,8,1,11,1,9,1,13,1,8,1,9,1,13,3,6,1,8,1,13,2,8,1,13,5,9,2,13,2,9,2,8,1,9,2,13,1,9,1,11,1,17,2,11,1,9,2,8,1,9,3,8,1,11,1,9,4,8,1,13,1,9,1,8,1,9,3,8,1,10,1,9,1,8,1,9,4,11,1,8,2,9,1,13,1,8,3,9,1,13,1,9,1,8,1,13,1,8,2,9,1,8,1,9,2,13,2,9,1,8,1,9,1,13,2,9,1,8,1,9,1,8,4,10,1,9,1,13,1,9,1,8,1,9,1,11,2,9,1,8,1,9,4,11,1,13,1,9,2,8,1,13,1,9,1,13,1,9,2,13,1,11,1,9,1,11,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,2,9,2,11,1,9,2,8,1,10,1,9,5,10,1,9,1,11,2,9,1,16,2,10,1,11,1,9,3,16,1,10,1,11,2,17,1,16,1,17,4,16,1,17,11,16,2,17,4,16,1,17,2,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,1,11,1,16,3,9,1,17,1,16,2,17,1,16,2,17,5,16,2,17,1,11,1,9,1,16,2,17,1,16,5,17,3,16,1,11,1,16,2,17,1,16,3,17,2,16,4,17,1,16,3,17,1,16,3,17,2,16,1,11,1,17,2,16,3,11,1,16,1,11,1,16,2,11,1,17,1,9,1,16,4,11,2,16,2,11,2,16,1,11,1,16,1,11,1,16,4,11,2,17,1,11,1,16,3,11,1,17,1,9,1,11,2,10,3,17,1,9,1,10,2,9,1,10,1,8,1,10,2,9,1,24,2,8,1,24,1,8,3,13,1,24,2,13,1,7,1,8,2,6,1,8,2,24,1,8,1,13,2,6,1,13,1,8,2,24,1,7,1,8,4,13,2,8,1,13,1,8,1,13,1,24,1,9,1,8,1,13,1,9,1,13,1,8,4,24,1,13,3,6,1,13,2,6,3,13,1,6,1,24,1,13,3,17,7,13,1,9,1,13,1,10,2,11,2,9,6,11,2,9,3,8,1,9,1,11,1,9,5,11,1,9,1,10,1,9,3,8,1,9,5,13,1,9,1,8,1,13,1,9,6,8,1,9,2,8,1,9,2,8,1,9,1,13,1,9,5,8,1,9,1,8,1,9,2,8,1,9,1,8,1,9,2,8,2,13,2,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,9,1,13,2,6,1,13,1,11,2,13,2,6,2,28,3,30,1,6,2,7,1,6,1,8,1,9,5,10,1,9,3,8,1,9,1,8,1,9,7,11,1,8,1,9,1,8,1,9,1,8,3,12,1,17,1,12,1,17,1,12,1,17,1,12,1,16,1,9,2,8,2,13,1,7,1,30,1,6,2,8,1,13,1,9,1,13,1,9,2,13,1,9,2,13,1,9,4,13,1,9,1,13,1,9,1,13,1,9,3,13,3,9,2,8,2,9,11,13,1,9,1,8,1,9,1,8,1,11,1,16,1,11,1,9,2,13,2,9,3,11,1,9,1,10,2,9,2,11,1,9,5,11,1,16,1,9,2,11,1,16,2,10,1,9,1,10,1,9,1,11,1,9,3,11,1,9,2,11,2,9,1,16,3,9,6,10,1,16,1,11,2,17,1,10,1,9,1,11,2,8,1,11,1,10,1,9,2,13,1,11,1,10,1,11,1,9,1,11,1,17,1,9,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,10,1,16,1,11,3,16,9,17,2,16,1,11,2,9,1,11,3,16,6,11,2,17,1,16,1,10,1,11,1,9,1,8,1,13,1,8,4,9,2,8,1,9,5,11,2,13,1,8,1,13,1,16,1,13,1,9,3,11,1,10,1,11,1,9,2,8,1,11,1,16,1,11,3,9,1,11,3,9,1,11,2,16,1,17,1,10,1,16,3,10,1,9,1,11,2,10,1,9,2,8,2,13,1,9,1,13,1,9,2,13,1,11,2,16,3,11,1,17,3,16,3,17,1,11,2,16,1,11,2,16,2,11,1,9,1,11,1,16,1,11,1,16,2,17,2,16,2,17,1,16,3,17,1,16,1,17,1,16,2,17,1,16,2,11,1,9,1,11,2,16,2,17,1,16,2,17,2,11,1,16,2,11,1,16,3,11,2,16,4,9,1,16,2,11,1,17,6,16,10,5,176,28,5,7,1,29,1,30,5,6,1,28,1,30,1,8,1,9,1,17,1,9,1,17,12,11,1,17,1,9,1,5,58,30,1,28,3,9,1,10,1,9,1,11,1,9,1,10,1,11,1,9,1,11,1,16,1,9,1,17,4,11,2,12,1,11,1,24,1,9,1,12,1,24,3,9,1,11,1,17,1,14,1,9,2,24,1,8,1,6,1,10,1,11,1,17,4,9,1,11,1,9,1,12,1,9,2,12,1,10,1,12,1,9,1,24,2,8,1,13,1,24,1,8,1,9,1,13,1,8,1,13,1,11,1,13,1,24,1,13,1,24,1,6,1,13,1,10,1,15,1,14,1,9,1,15,1,16,1,9,2,17,2,12,2,9,1,24,1,10,1,7,1,6,1,10,1,9,1,10,1,17,1,9,1,13,1,29,2,6,1,7,1,9,1,6,1,28,1,6,1,13,1,12,1,9,1,}, {29,1,6,2,8,1,24,2,12,1,24,1,14,1,15,1,8,2,30,3,29,1,30,1,8,1,10,1,12,2,8,1,6,2,29,1,8,1,17,1,14,1,17,1,24,1,8,1,13,1,24,2,8,2,13,2,24,1,8,1,13,2,28,1,24,1,6,1,8,1,30,1,24,1,13,2,6,2,13,1,6,1,7,1,30,1,8,1,29,1,13,1,7,1,6,1,8,1,13,1,8,1,12,2,24,1,15,1,24,1,8,1,12,2,15,1,12,1,8,1,14,1,9,2,13,1,10,1,9,1,14,2,16,1,8,2,9,2,11,1,12,1,9,2,12,1,17,2,12,1,9,1,12,1,9,2,17,7,11,1,12,1,16,1,17,5,12,1,17,5,9,1,16,1,17,1,16,1,17,5,10,1,9,1,15,1,10,1,9,2,15,1,24,2,10,1,17,1,8,2,11,1,14,3,16,1,17,2,16,1,17,3,16,1,12,1,11,1,12,1,11,1,17,1,12,1,17,1,12,1,17,2,16,1,17,12,16,1,17,22,9,1,11,1,16,1,9,1,16,1,9,1,24,1,8,1,9,1,13,1,6,1,30,1,6,1,28,2,30,2,6,1,30,2,7,2,13,1,7,1,24,1,9,2,6,2,30,1,7,1,30,1,8,1,12,1,10,1,9,2,24,1,8,1,12,1,24,1,10,1,8,1,13,1,7,1,13,1,29,1,7,1,28,1,7,1,6,1,29,1,13,1,29,1,9,1,8,1,10,1,24,1,12,1,9,1,12,1,14,2,10,1,28,14,6,1,9,1,17,1,11,1,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,4,11,2,16,1,9,7,8,1,9,5,11,1,16,4,11,1,16,1,11,1,9,1,11,1,9,1,16,1,9,2,16,1,9,2,11,2,16,3,11,1,16,5,17,2,16,1,17,1,16,2,17,1,16,12,11,1,9,1,11,1,9,4,11,1,9,1,13,2,9,1,6,1,13,6,9,1,13,3,9,3,11,2,16,1,11,1,16,5,17,1,16,1,17,1,11,1,16,2,11,3,13,1,9,1,11,1,9,5,13,1,9,2,13,1,8,1,13,1,6,1,8,1,9,1,16,3,11,1,16,1,11,1,9,1,16,6,17,4,16,3,11,2,9,2,13,2,30,1,6,1,30,1,28,3,6,1,9,2,16,1,11,5,9,1,11,1,9,5,13,4,6,1,13,1,28,1,6,1,13,1,28,1,30,1,13,1,6,1,13,4,11,7,9,1,16,1,17,3,16,1,9,5,11,1,13,1,9,3,11,1,9,1,16,2,17,3,16,2,17,1,16,3,11,2,9,7,13,2,9,2,13,1,9,4,13,1,9,2,13,1,9,1,13,1,9,2,11,1,9,3,6,1,9,1,13,5,9,2,11,1,9,1,16,1,17,9,16,1,11,1,9,2,13,4,6,1,13,2,6,2,30,1,6,3,7,2,6,1,13,1,6,3,7,1,6,1,13,2,29,1,13,1,6,1,13,1,9,1,13,1,7,3,13,1,9,2,16,1,9,1,16,1,11,2,17,1,11,1,17,2,16,2,11,1,9,1,16,2,9,1,11,2,9,1,13,1,9,2,13,1,9,1,17,3,16,1,17,2,16,7,17,1,16,3,17,1,16,2,17,1,16,4,11,1,16,1,11,3,16,1,17,1,16,2,11,1,10,1,11,1,16,1,17,1,16,1,10,1,11,1,16,1,10,1,16,1,17,1,16,1,11,5,10,1,16,1,11,2,9,2,11,3,9,1,11,1,9,1,16,1,9,1,11,1,9,1,17,1,9,4,11,2,9,3,11,1,9,1,11,3,9,3,8,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,16,1,11,2,9,4,16,1,11,1,16,2,11,5,9,1,16,1,11,1,9,1,11,1,16,1,11,1,9,1,16,2,11,2,16,1,11,1,17,2,16,2,11,1,17,1,16,4,17,1,11,2,16,1,11,1,16,1,10,1,11,1,9,2,11,1,9,1,11,1,9,4,16,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,16,2,11,3,9,1,16,1,10,1,11,1,9,2,11,1,16,1,11,2,10,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,17,1,11,3,17,1,11,4,10,1,9,1,11,1,9,1,11,1,16,1,11,1,13,1,9,14,11,1,9,2,10,1,9,1,11,1,9,2,16,2,17,3,16,1,17,1,8,1,9,2,13,1,10,1,11,1,12,1,9,1,24,1,9,1,13,1,9,1,13,2,6,1,9,2,11,1,9,1,8,1,13,3,9,1,11,1,16,3,17,1,16,1,17,2,10,1,17,2,16,1,17,1,16,1,11,1,16,1,11,2,16,1,11,1,17,1,16,4,11,1,17,2,16,3,11,3,16,1,11,2,9,2,8,1,9,3,11,1,9,2,13,1,8,2,13,1,9,1,8,1,9,1,8,2,13,1,8,1,9,2,8,1,9,2,8,2,9,2,13,1,9,2,8,1,9,1,8,3,9,1,13,1,9,1,8,3,9,1,13,1,8,3,9,1,8,2,6,1,30,1,6,1,30,3,6,1,30,1,28,2,13,1,9,2,11,3,16,1,17,1,16,2,17,1,16,5,9,2,11,1,9,2,13,1,9,2,8,1,9,1,11,1,8,4,11,1,9,2,8,1,9,5,8,2,9,2,13,1,9,1,8,2,11,1,8,1,9,3,10,1,9,2,11,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,3,13,1,9,1,8,1,13,1,9,2,8,1,13,1,9,2,6,1,9,1,8,1,13,6,9,1,8,2,13,8,7,1,13,1,8,1,9,2,11,1,9,2,8,2,9,1,13,1,9,5,10,1,13,1,6,1,13,2,9,1,13,1,9,1,8,1,13,2,8,1,13,1,9,1,13,3,9,1,13,1,6,1,13,1,9,2,13,1,8,1,13,4,8,1,13,7,8,2,13,2,8,1,9,1,13,5,8,3,9,1,8,1,13,1,8,1,13,6,8,2,13,11,8,1,13,5,9,1,13,1,8,1,13,1,8,2,11,2,13,1,8,1,13,2,8,1,9,1,8,1,13,1,8,1,13,8,8,1,13,1,8,1,13,2,8,1,13,1,8,4,11,1,9,1,17,3,11,1,9,5,13,1,9,3,11,1,9,1,13,1,9,2,13,1,8,1,9,1,8,1,9,1,8,1,9,2,13,1,9,2,13,1,8,2,13,1,8,1,9,2,13,1,8,1,9,3,11,1,13,1,9,4,8,1,9,2,8,1,9,1,8,1,13,1,8,2,13,1,8,1,13,1,8,2,13,1,8,1,13,1,10,1,8,1,9,3,8,1,9,1,13,1,8,1,13,2,8,2,13,1,9,1,13,1,8,3,9,1,8,1,9,4,11,1,9,2,8,2,9,1,13,1,9,1,8,1,13,2,9,7,8,1,13,1,9,1,13,1,8,1,9,2,8,1,11,1,9,2,13,2,9,3,11,1,13,1,8,1,7,1,8,1,13,1,9,7,13,1,9,1,8,1,11,1,9,2,16,1,11,1,9,5,11,1,10,1,9,1,11,1,9,1,13,2,8,1,9,1,8,1,9,1,11,1,9,1,16,2,9,1,16,1,9,1,10,1,16,3,11,1,16,2,11,1,16,1,13,1,16,2,11,1,16,1,17,1,16,1,11,1,17,1,11,2,16,1,11,3,16,9,11,1,16,4,11,1,17,1,16,7,17,1,16,2,17,1,16,1,11,1,16,1,17,1,16,1,17,1,16,8,17,1,16,1,11,1,17,1,11,1,17,1,16,1,11,1,17,3,16,3,17,2,16,1,17,2,16,3,17,2,16,3,11,1,17,1,16,1,17,1,16,1,17,1,11,1,8,1,12,2,16,1,11,1,9,3,10,1,9,1,8,6,9,1,7,1,8,3,24,2,10,1,24,2,6,1,8,2,13,1,8,2,13,1,7,1,24,1,13,1,24,1,8,2,24,1,13,1,8,2,24,1,13,1,8,1,13,1,8,4,24,1,13,1,24,1,13,1,9,1,8,1,10,1,8,1,7,1,8,1,24,1,8,3,6,1,13,1,6,1,13,3,6,1,7,3,8,2,17,1,12,2,17,5,9,1,13,1,11,2,16,1,11,2,16,2,9,1,11,1,9,2,11,1,9,2,11,1,9,5,10,1,9,3,11,1,9,3,13,1,11,1,10,1,8,1,9,2,11,1,9,6,11,1,9,3,13,1,11,1,13,1,8,1,10,1,9,4,8,1,9,1,13,1,8,1,9,1,8,1,9,2,13,1,8,1,9,4,8,2,9,1,8,1,9,2,11,1,9,2,11,2,9,2,11,1,9,1,11,1,8,1,16,1,17,1,16,2,12,1,9,1,8,1,13,4,8,1,9,2,11,2,8,1,9,1,10,1,9,3,11,1,13,1,9,2,8,1,9,1,8,2,9,1,11,1,24,1,8,1,9,2,8,1,9,1,8,1,9,2,24,1,10,1,8,2,9,3,17,3,9,1,12,2,10,1,8,1,6,1,13,2,28,1,13,1,6,1,13,1,9,4,8,1,13,1,9,2,13,1,9,9,13,2,9,2,13,2,8,1,13,4,9,1,13,1,9,1,13,1,9,1,13,3,9,1,13,2,9,1,13,3,11,1,9,1,8,1,9,7,8,1,9,3,11,1,9,6,10,1,9,2,10,1,9,4,8,1,11,2,9,3,8,1,10,1,13,1,9,3,11,1,16,2,9,4,16,3,11,1,9,1,16,1,11,5,9,1,11,1,9,1,11,1,16,1,11,2,16,1,11,1,16,1,11,2,16,1,11,1,16,2,11,1,16,1,11,2,16,1,11,2,16,3,11,1,16,4,17,3,16,1,17,2,16,2,11,1,16,1,9,2,16,2,11,1,16,1,9,2,11,1,16,1,11,4,9,1,13,1,9,1,10,1,9,6,13,1,9,4,13,3,9,12,11,1,9,1,16,1,9,2,11,2,16,1,9,1,11,2,16,7,11,1,16,1,11,2,16,1,11,3,8,1,9,2,8,2,9,2,11,2,16,2,11,2,17,3,16,5,11,5,16,2,11,4,16,3,11,1,16,2,17,1,16,1,17,7,16,1,17,3,16,1,17,1,16,4,17,2,16,3,17,1,16,9,11,1,10,1,11,1,16,2,11,2,16,2,17,1,16,1,17,2,11,1,17,1,16,4,17,1,16,19,5,2,16,10,17,2,16,1,5,6,33,1,5,138,28,6,30,1,29,1,30,1,28,1,30,2,28,1,30,1,6,1,13,1,17,2,12,1,11,1,8,1,17,13,16,1,9,1,5,56,28,4,8,1,12,1,8,1,10,1,9,2,12,1,11,1,12,1,9,1,12,1,17,4,16,1,17,1,12,2,11,1,8,1,12,1,10,1,8,1,24,1,9,1,15,1,14,1,17,1,16,1,12,1,13,2,8,2,11,1,17,3,10,2,17,1,24,3,9,2,8,1,9,1,13,1,8,1,12,1,7,1,12,1,24,1,13,1,7,1,13,1,8,1,24,2,13,2,7,1,13,1,8,1,7,1,12,1,9,1,17,2,12,1,9,1,12,1,17,5,9,1,24,1,13,2,6,1,8,1,9,1,12,2,9,1,6,1,28,1,30,1,6,1,7,1,12,1,8,1,6,1,28,1,9,1,11,1,8,1,}, {6,1,7,1,29,1,8,1,24,1,9,3,14,1,24,1,8,1,7,1,6,1,29,1,6,1,7,1,6,1,24,1,10,1,17,1,24,1,13,2,7,1,6,1,24,1,10,1,17,1,11,1,9,2,15,1,24,1,13,1,6,1,13,1,6,1,8,1,24,2,7,1,13,1,30,1,7,1,13,2,8,1,13,1,8,2,13,1,7,2,13,2,7,1,13,1,6,3,7,1,6,1,8,1,10,2,17,1,12,1,9,1,12,1,17,1,10,1,17,2,15,1,12,1,9,1,15,1,24,2,9,1,8,1,14,2,11,1,8,1,9,1,24,1,9,1,11,1,15,1,17,1,11,2,17,1,14,1,17,1,9,1,8,1,9,1,8,1,17,6,9,1,11,1,24,1,12,1,17,5,11,1,17,6,11,1,17,5,16,1,17,1,9,2,13,1,9,1,13,1,9,1,8,1,11,1,12,1,11,1,16,1,17,1,11,1,17,2,16,2,17,1,16,1,17,4,12,2,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,6,12,1,17,24,11,1,9,4,13,2,30,1,6,2,13,1,6,1,30,2,13,3,7,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,3,6,1,7,1,13,2,17,1,24,1,6,2,13,1,6,1,13,2,17,1,12,1,24,1,16,1,13,1,10,1,8,1,12,1,24,1,9,1,13,1,24,1,7,1,13,1,6,1,7,1,13,1,29,2,6,1,13,1,24,1,9,2,24,1,12,1,9,1,10,1,14,2,10,1,29,1,28,13,6,1,9,1,17,1,16,8,17,1,16,5,11,1,9,1,16,1,9,4,11,2,9,1,11,4,16,10,11,1,16,1,9,1,11,3,9,1,11,2,16,5,11,1,16,3,9,1,16,4,17,1,16,5,9,1,11,1,9,2,16,1,9,2,11,1,9,2,13,2,9,6,13,3,9,1,13,4,9,1,13,1,9,1,13,3,9,1,11,4,9,1,11,1,16,5,17,1,16,4,11,1,9,2,11,1,9,3,11,1,9,1,11,1,9,2,13,1,9,2,13,4,9,4,11,1,16,6,11,1,16,1,17,1,16,2,17,3,16,3,11,1,9,1,13,3,30,1,13,2,6,1,30,1,13,1,6,1,13,1,9,1,11,1,9,1,11,2,9,1,11,1,9,2,11,1,9,4,13,1,8,1,13,4,30,1,6,1,30,1,6,1,13,1,30,1,6,1,13,1,6,2,13,1,9,2,11,3,16,1,11,1,9,1,16,2,17,3,16,1,11,2,9,10,11,1,16,2,17,6,16,2,11,1,16,1,9,4,13,1,9,3,13,1,9,2,13,1,9,4,13,1,9,4,13,1,9,2,16,1,9,1,13,1,11,1,13,1,10,1,13,3,8,1,9,1,13,1,9,1,11,1,9,2,11,1,16,3,17,8,16,1,11,1,8,2,13,2,30,1,29,1,13,1,30,2,28,1,30,1,6,1,28,1,6,1,30,3,6,1,30,1,6,3,8,1,13,1,7,1,13,1,30,2,8,1,6,1,13,2,8,1,9,2,8,1,9,1,12,1,11,1,10,2,17,1,10,1,11,1,17,1,16,2,17,1,11,2,9,2,11,1,10,1,9,3,11,1,13,2,16,2,17,2,16,1,17,3,16,4,11,1,16,3,17,1,16,1,17,1,16,1,17,1,16,3,17,1,16,1,17,1,11,2,16,1,11,1,16,3,11,1,9,1,16,2,11,1,9,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,10,1,16,1,11,1,9,1,11,3,9,2,11,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,2,8,1,11,1,9,2,11,2,9,7,11,1,9,2,10,1,9,1,10,1,9,2,11,2,9,8,16,1,11,1,16,1,11,2,9,1,11,1,9,1,16,1,11,1,16,1,11,2,16,1,11,2,9,1,16,1,11,1,10,1,16,1,11,1,17,2,11,1,17,1,11,2,16,1,17,3,16,4,11,1,16,1,11,1,10,1,11,1,9,5,11,1,9,2,11,1,16,1,11,1,9,1,11,1,10,1,11,2,9,3,11,2,9,1,11,1,9,1,10,1,11,4,9,2,16,1,9,1,11,1,16,2,11,1,10,1,11,2,16,1,11,2,16,1,11,2,16,1,11,6,9,1,11,2,16,1,9,3,13,1,9,4,13,1,9,7,8,1,9,2,8,1,11,1,9,1,11,1,9,2,17,6,11,1,9,1,13,2,8,1,9,2,11,1,8,1,13,2,8,1,9,1,13,1,7,1,9,2,12,1,8,1,10,1,9,1,8,1,30,1,11,1,16,1,17,1,16,1,17,4,11,1,17,2,11,1,17,1,11,1,16,4,9,1,16,1,17,1,16,1,17,1,11,1,16,2,13,1,17,2,11,1,9,2,11,2,9,3,8,2,9,1,13,1,8,3,13,2,9,4,13,1,9,3,8,1,9,2,11,1,9,1,13,1,9,4,8,1,9,2,8,1,9,1,8,1,9,1,13,1,9,1,13,3,9,1,13,1,9,3,13,1,9,1,13,2,30,2,6,3,7,1,6,1,28,1,6,1,30,2,13,1,16,1,11,2,16,4,17,3,16,3,17,1,16,3,17,1,16,3,17,3,16,1,11,1,13,1,8,1,13,1,9,3,11,2,9,2,8,1,9,4,8,2,9,2,8,1,9,1,8,1,9,1,13,1,9,3,13,1,9,1,13,1,9,2,8,4,13,1,9,1,8,1,13,1,8,1,13,9,8,2,13,1,9,1,13,1,9,1,13,7,8,1,13,1,8,1,13,4,6,1,13,2,6,2,13,2,9,4,13,1,6,1,13,1,7,1,13,1,8,1,9,2,10,1,13,1,8,1,13,1,8,1,13,5,8,3,13,4,9,2,13,1,9,1,13,1,9,1,13,2,8,1,13,1,8,1,13,6,6,1,13,3,8,1,9,1,13,2,9,1,13,8,8,1,13,6,8,7,13,1,8,1,6,1,13,3,8,2,13,1,8,1,13,2,9,1,13,2,8,1,13,2,8,1,9,1,10,1,9,1,8,1,9,1,8,2,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,5,6,1,13,4,6,1,13,1,7,1,8,4,9,2,8,1,9,1,17,2,11,1,16,1,8,1,9,1,8,2,13,1,8,1,9,2,13,1,9,1,8,2,9,1,8,1,6,1,8,1,13,1,8,2,13,1,8,1,13,1,8,1,9,1,8,1,9,1,8,2,9,2,8,1,9,1,13,6,8,3,9,1,8,1,13,1,9,2,8,2,13,1,8,1,9,1,13,1,8,2,13,5,9,1,13,1,9,3,8,1,9,3,13,2,8,2,13,1,9,2,8,1,9,2,13,1,8,2,13,1,9,2,8,1,13,1,8,1,13,1,8,2,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,2,13,2,9,3,8,1,13,1,8,1,9,4,8,1,9,1,8,2,9,2,13,1,9,3,10,1,9,1,8,1,9,1,8,1,9,3,13,4,9,8,13,1,9,1,11,1,9,1,8,1,9,2,8,1,13,2,9,1,13,2,8,1,13,2,9,4,8,1,9,3,8,1,9,1,13,4,8,1,9,1,8,1,11,2,9,1,11,1,16,1,11,1,9,3,11,4,9,3,11,2,16,2,9,1,11,1,10,1,16,2,11,1,16,3,11,3,16,5,17,2,16,2,17,1,16,4,17,3,16,3,11,1,17,1,11,1,17,1,16,1,17,4,16,3,17,2,16,3,17,1,16,1,17,2,16,1,17,2,16,1,17,1,16,3,17,3,16,1,9,1,13,1,17,2,11,1,9,2,10,1,11,1,9,3,10,1,24,1,9,1,8,1,9,1,8,4,24,1,8,2,7,1,8,3,9,1,8,1,9,1,13,1,8,3,13,1,8,1,24,1,8,1,24,2,13,1,8,1,24,1,13,1,24,1,8,1,24,1,9,1,13,1,8,1,6,1,8,1,13,1,7,1,8,1,9,2,8,1,24,1,9,1,8,3,24,1,6,1,13,1,24,1,7,1,13,2,29,1,7,2,6,2,7,2,8,1,12,1,11,1,17,7,8,1,6,1,9,1,11,3,16,2,11,2,9,1,11,2,16,1,17,1,9,1,16,1,9,4,11,1,9,1,10,1,16,1,9,1,16,1,9,5,11,1,16,2,9,1,10,2,9,3,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,9,3,10,1,8,1,9,1,11,1,9,2,8,1,9,2,10,1,11,2,9,2,10,1,11,2,9,3,16,1,17,5,10,1,17,1,16,1,17,5,11,2,9,2,11,1,9,1,13,1,9,6,11,1,8,1,10,1,9,3,8,1,10,2,9,2,8,1,9,2,8,1,9,1,10,1,9,2,8,1,9,2,8,1,9,2,8,2,24,1,8,1,9,4,17,1,16,1,11,1,17,1,10,2,12,1,8,2,13,3,6,1,30,1,13,3,9,1,13,1,9,1,13,1,9,2,8,1,9,1,13,1,9,7,8,1,9,3,13,1,9,2,8,1,13,1,9,3,13,3,8,1,13,7,8,1,9,2,13,1,9,2,8,1,13,4,8,1,9,1,13,1,8,1,9,2,8,1,9,5,10,1,9,2,8,2,9,1,11,1,9,2,8,1,9,4,13,1,9,5,11,1,16,1,9,1,11,1,9,3,16,1,10,1,11,3,16,3,9,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,10,1,11,3,16,1,10,1,9,1,16,1,11,1,10,1,9,1,11,1,10,1,16,3,11,1,16,3,11,1,16,5,17,2,16,4,11,2,16,2,9,1,11,1,9,1,11,1,9,1,11,4,9,1,8,1,9,3,11,1,9,2,11,4,9,1,11,3,9,1,13,1,8,1,9,2,11,1,9,1,11,1,9,1,10,1,9,1,10,2,9,2,8,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,11,2,9,1,16,4,11,1,16,1,17,2,16,1,11,1,16,1,11,1,9,1,11,2,9,2,13,3,8,2,9,1,11,1,16,8,17,1,16,3,11,3,10,1,11,1,10,1,9,2,11,1,9,1,11,2,16,2,11,1,16,1,11,2,16,1,17,1,16,2,17,2,16,1,17,1,16,1,17,4,16,1,17,2,16,2,17,2,16,1,17,2,16,2,17,2,16,4,17,1,16,4,11,1,16,1,11,1,16,3,17,1,16,1,17,1,16,1,17,2,16,2,11,1,16,2,11,1,17,4,16,16,11,1,16,1,11,1,16,4,9,2,16,6,17,1,16,4,9,2,5,1,17,2,5,133,33,1,16,1,28,11,30,1,28,2,30,1,13,1,17,1,13,1,12,1,9,1,11,1,17,1,10,1,17,11,16,1,17,1,9,1,5,55,28,2,30,2,9,1,10,1,9,1,10,1,12,1,11,1,9,1,10,1,11,1,9,1,11,1,17,4,16,1,11,1,12,1,24,1,12,1,11,1,14,1,12,1,9,1,12,2,17,3,10,1,9,2,24,1,8,1,10,2,15,2,17,1,10,1,11,1,9,2,10,1,24,1,11,2,24,1,12,1,13,1,9,1,24,1,9,1,10,1,8,1,24,1,8,2,13,2,9,1,10,1,24,1,7,1,8,1,13,1,8,1,24,1,12,1,17,3,8,1,10,1,12,1,17,4,9,1,24,1,8,1,13,1,29,1,24,2,12,1,10,1,13,1,6,2,30,1,13,1,8,1,12,1,8,1,13,1,7,1,10,1,9,2,}, {29,1,6,2,13,1,8,1,24,2,17,2,9,1,8,1,29,1,6,2,30,1,8,1,30,1,8,1,12,1,17,1,9,2,8,1,13,2,8,1,16,1,17,1,15,1,24,1,10,1,24,1,8,2,6,1,7,2,8,1,13,2,6,1,29,1,6,1,7,1,13,1,8,1,13,1,24,1,6,2,7,1,30,1,6,4,30,1,7,1,28,1,8,1,6,1,13,1,15,1,24,1,15,1,10,1,15,1,24,1,9,1,15,1,12,1,16,1,11,1,16,1,9,1,16,1,9,1,24,1,8,1,9,1,8,1,14,1,17,1,9,2,8,1,9,2,12,1,11,1,10,1,8,1,12,1,14,2,12,2,9,2,10,1,17,6,12,1,9,3,11,1,17,4,10,1,17,1,16,1,17,2,9,1,17,1,11,1,17,2,16,1,17,2,16,1,11,1,9,1,11,1,24,1,10,1,8,1,9,2,12,1,10,1,16,2,11,1,12,1,9,2,16,1,17,7,12,1,17,2,12,1,11,1,17,5,16,1,12,1,17,24,12,2,11,1,8,2,24,1,13,2,6,2,30,2,28,3,6,1,30,1,6,1,30,1,6,1,7,1,29,2,30,2,28,1,29,1,28,2,29,1,6,1,30,1,29,1,6,1,29,1,8,1,13,1,15,1,9,1,7,1,28,1,6,2,13,1,6,1,12,1,17,1,9,1,12,1,9,2,8,1,9,1,13,1,9,1,13,1,8,2,9,1,13,1,6,1,13,1,29,1,6,1,13,1,8,1,10,1,9,3,10,1,12,1,9,1,14,2,24,1,30,1,28,13,6,1,9,1,17,1,16,5,17,1,16,1,17,2,16,2,11,3,16,1,11,3,9,2,13,1,9,3,11,4,16,4,17,1,16,1,17,1,16,1,17,1,16,2,11,1,16,2,11,5,16,5,17,1,11,1,16,10,11,2,9,14,13,2,9,1,13,1,9,3,13,8,9,3,11,1,16,2,11,1,9,1,11,1,9,1,11,1,16,5,11,1,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,9,3,11,1,9,1,11,1,9,2,13,1,11,1,9,2,8,1,13,1,9,1,13,2,11,1,9,1,16,9,17,6,16,1,11,1,9,1,13,4,6,1,13,1,30,1,6,1,30,1,28,1,13,2,9,1,11,3,9,3,11,1,9,9,13,2,30,1,6,2,30,3,13,1,6,2,13,1,6,1,13,1,9,1,11,6,16,1,11,1,16,1,17,1,16,1,17,1,16,1,11,1,9,3,11,1,13,2,9,2,13,1,11,2,9,1,16,3,17,5,16,4,11,2,9,2,11,1,13,2,9,1,13,1,8,1,9,2,13,1,9,2,13,1,9,2,13,1,9,5,16,1,11,2,9,7,8,1,9,2,11,1,9,1,11,1,9,3,16,2,17,9,16,1,9,1,8,1,13,1,6,1,29,1,30,1,28,1,6,1,28,5,6,1,29,1,30,4,6,1,28,1,13,1,7,1,13,1,6,1,13,1,29,1,13,2,29,1,6,2,13,2,9,1,13,1,16,1,9,2,12,1,9,1,17,1,11,1,12,1,17,2,11,1,17,2,12,1,16,1,11,1,9,2,16,1,9,1,13,1,9,1,13,1,8,1,9,2,17,3,16,1,17,1,16,7,17,1,16,5,17,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,2,11,2,16,2,11,5,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,3,11,4,9,1,11,2,9,1,11,1,9,1,10,1,9,1,16,1,9,1,11,1,9,8,10,1,9,1,11,1,10,1,9,1,10,1,9,2,16,1,9,1,11,1,10,1,9,1,16,1,11,1,9,1,10,1,9,2,11,2,9,1,16,1,11,1,9,1,16,1,11,1,16,3,11,1,16,1,11,3,16,3,11,1,16,2,17,1,16,4,17,1,16,3,10,1,17,2,11,1,17,2,11,1,16,1,11,2,9,7,10,1,9,1,10,1,9,2,11,1,10,2,9,1,11,1,9,1,11,1,8,1,10,1,11,3,9,2,11,1,9,1,11,9,16,1,9,1,10,1,11,1,16,1,11,1,16,1,9,1,11,1,16,1,11,2,16,1,9,1,11,1,10,1,9,1,11,2,9,2,10,1,11,2,9,1,11,1,9,7,11,2,9,2,11,1,9,1,10,1,9,2,11,1,9,3,11,3,9,1,17,6,9,1,8,1,6,1,9,1,10,1,9,1,12,1,8,1,13,1,9,1,8,1,13,1,9,1,13,2,9,1,13,1,8,1,9,1,8,1,7,1,13,2,16,1,17,6,16,1,17,2,16,3,17,1,11,1,16,1,11,2,16,1,9,1,10,1,9,1,11,1,9,2,13,1,9,1,13,2,9,1,8,1,13,1,8,2,9,1,8,1,9,2,8,1,9,2,8,1,9,3,13,1,9,1,13,1,9,1,13,2,9,4,13,1,9,2,11,2,10,2,8,1,13,1,6,1,13,1,6,2,29,1,6,3,13,1,6,2,13,5,6,1,13,1,30,1,6,1,13,5,11,1,13,2,8,1,9,1,16,3,17,2,16,3,17,1,16,3,17,1,16,2,17,1,16,1,17,2,16,2,17,1,16,3,17,1,16,1,17,1,16,1,13,4,9,6,13,1,8,1,9,2,13,1,9,1,8,1,9,1,13,2,9,1,8,1,9,1,13,3,8,3,13,1,8,2,9,1,8,1,9,1,8,1,13,2,9,1,13,5,6,1,9,1,13,5,8,3,13,1,8,1,13,3,6,1,8,1,13,4,9,1,13,2,6,1,7,1,13,4,7,1,13,1,9,2,8,2,6,1,13,2,8,1,13,3,9,3,13,3,7,1,13,1,6,1,8,2,9,1,13,2,9,1,8,1,13,1,9,1,8,1,13,1,8,1,13,2,9,2,13,1,9,1,8,1,13,5,6,1,13,1,7,1,13,3,9,1,13,10,7,1,13,2,8,2,13,4,8,1,13,1,9,1,13,3,9,1,13,3,8,1,13,5,8,1,13,1,8,1,13,1,9,1,8,1,7,1,10,1,16,1,11,1,13,1,8,1,13,1,9,1,13,5,8,1,13,13,7,1,13,7,8,3,13,1,9,1,16,1,17,1,11,1,16,1,8,2,9,1,8,1,9,2,8,1,9,1,13,1,9,2,8,1,13,1,9,1,13,1,9,2,8,2,9,1,13,1,9,1,8,1,9,1,8,2,13,1,9,2,13,6,9,1,8,2,13,1,9,1,8,2,9,2,8,2,9,2,13,3,8,1,13,4,7,1,13,1,6,1,13,5,9,2,13,1,8,1,13,4,8,1,13,3,8,1,13,1,8,1,9,2,8,1,9,1,8,1,13,2,9,1,8,2,13,1,9,2,13,2,9,1,8,1,9,1,10,1,9,2,13,2,8,1,9,1,8,1,9,1,8,2,9,1,8,1,9,1,8,1,9,4,13,2,9,1,13,1,9,1,8,1,13,1,8,1,9,1,8,1,13,1,9,1,8,1,13,3,9,1,13,1,8,1,13,2,9,5,13,1,11,1,9,2,8,4,13,3,8,1,9,1,10,1,9,4,8,3,9,1,13,1,9,1,13,6,9,1,10,1,9,1,16,1,9,1,11,1,9,1,17,1,9,1,11,1,16,1,9,3,13,1,9,4,13,1,9,1,8,1,13,1,8,2,9,3,13,1,10,1,8,1,9,1,10,2,8,1,9,2,10,1,8,1,9,3,8,1,9,4,8,1,9,1,16,2,11,1,16,1,17,1,11,1,16,1,17,5,16,1,17,1,11,1,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,2,16,1,17,3,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,11,2,13,1,17,2,11,1,17,1,9,1,11,1,9,1,10,1,9,3,24,2,9,1,8,1,24,2,9,1,24,1,8,4,13,2,7,1,13,1,8,1,12,1,13,2,8,1,13,1,8,2,13,1,8,1,24,1,7,1,24,1,13,1,6,1,13,3,8,2,24,1,13,1,8,4,13,1,8,2,9,1,13,1,8,2,9,1,8,2,13,1,24,1,13,2,7,2,6,2,7,1,6,1,29,2,30,1,7,1,13,1,9,1,12,2,17,7,16,1,8,1,10,1,11,1,16,2,11,1,16,2,17,1,11,3,17,1,10,1,11,6,16,1,11,1,16,1,11,1,16,1,9,2,11,1,9,1,11,2,16,2,11,1,16,1,11,1,9,1,11,2,9,1,10,1,11,1,9,1,11,1,16,4,17,1,16,1,17,1,16,1,17,4,11,1,9,1,16,1,8,1,9,6,11,3,17,4,16,1,9,1,8,1,11,3,9,2,11,1,10,1,11,1,9,1,16,2,11,4,9,1,8,1,9,2,11,1,9,4,10,1,9,3,8,1,10,1,8,2,13,1,9,2,13,1,8,1,9,7,24,1,10,1,9,1,8,2,9,1,8,3,10,1,24,1,8,2,9,1,10,1,17,1,12,1,17,4,12,1,9,1,12,1,9,2,8,1,9,1,7,1,13,1,6,1,30,2,8,2,9,1,13,1,9,1,13,2,9,2,8,1,13,1,9,6,13,1,9,1,13,1,9,1,8,1,13,1,8,1,9,1,13,7,9,2,13,2,9,1,13,1,9,2,13,3,9,6,13,1,9,1,8,1,13,1,9,3,8,1,9,1,8,1,9,1,8,2,13,1,9,4,11,1,10,1,9,3,8,1,9,4,8,1,10,1,11,2,9,1,11,2,9,4,11,2,16,1,9,1,16,1,11,2,9,4,11,1,9,2,10,1,11,1,16,1,10,1,9,1,11,2,16,2,11,2,16,3,11,4,16,3,11,1,17,1,16,5,17,1,16,3,11,3,9,1,16,1,11,1,16,1,9,1,16,2,11,1,16,1,9,2,11,3,9,2,11,1,9,10,13,1,9,5,11,1,9,1,11,2,9,5,11,1,10,1,11,2,10,1,11,4,16,1,11,2,16,3,11,1,16,3,17,1,11,3,16,1,9,1,11,1,16,1,9,2,13,2,9,3,11,2,16,3,17,1,16,1,17,1,16,4,11,1,16,1,11,1,16,1,11,1,9,1,11,3,9,1,16,1,9,1,11,1,9,7,10,1,16,2,10,1,11,3,17,1,11,1,16,2,11,1,17,1,16,1,17,2,11,1,17,1,11,1,16,3,17,2,16,2,9,1,11,1,16,11,11,2,16,1,17,1,16,1,17,1,16,1,11,1,17,1,16,2,11,1,17,1,16,4,17,3,11,1,16,2,11,1,16,1,11,1,16,4,11,1,16,1,11,1,16,3,11,1,16,1,11,1,16,6,11,2,16,6,11,1,16,2,11,1,16,1,17,4,16,1,17,3,5,127,13,2,28,9,30,2,28,1,30,1,28,1,30,1,13,1,17,1,11,1,12,1,16,1,10,1,12,1,9,2,17,12,16,1,11,1,5,54,28,2,30,2,8,1,10,1,16,1,9,1,17,1,16,1,11,1,17,1,10,2,17,5,9,1,11,1,10,1,9,2,14,1,10,1,15,1,9,1,16,1,17,2,16,1,17,2,9,1,11,1,8,2,9,2,17,3,15,1,12,1,10,1,11,1,17,1,9,2,10,1,8,1,9,1,24,1,12,1,13,1,10,2,8,1,7,1,8,2,13,2,24,1,6,1,8,2,13,2,8,1,12,1,17,2,12,1,17,1,10,3,17,3,11,1,9,1,13,3,7,1,8,1,24,1,12,1,17,1,12,1,7,1,30,1,6,1,7,1,8,1,11,1,8,1,6,2,9,1,8,1,24,1,}, {6,2,13,1,8,1,9,1,24,2,17,3,8,1,13,1,6,3,13,1,8,2,9,1,17,1,8,1,9,1,8,1,13,1,8,2,17,2,12,1,24,1,9,1,24,1,8,1,6,1,29,1,13,1,7,1,24,1,8,2,6,1,30,1,24,1,29,1,8,1,13,1,6,1,13,2,8,1,7,1,6,1,29,1,7,2,29,1,13,1,29,1,13,1,6,1,24,2,8,1,10,1,15,1,14,1,9,1,12,2,8,1,12,1,17,2,10,1,24,1,11,1,9,1,8,2,24,1,7,1,14,2,13,1,8,1,24,1,8,1,24,1,10,1,9,2,24,2,14,2,12,1,8,1,15,1,9,1,10,1,12,1,17,4,16,1,11,1,10,1,16,1,9,2,17,2,12,1,16,1,9,1,17,1,12,1,17,5,11,1,14,1,17,3,16,1,8,1,10,1,11,1,9,1,8,2,9,1,12,1,11,1,9,1,16,1,10,1,9,1,16,1,9,1,17,9,12,1,17,4,16,1,17,4,16,1,17,22,16,1,17,1,9,1,16,1,9,2,24,1,13,2,6,2,30,2,28,4,29,1,30,5,28,1,29,1,28,1,30,1,28,6,30,1,28,2,7,1,6,1,7,2,14,1,24,1,6,1,30,1,7,1,29,1,13,1,8,1,12,2,11,1,16,1,11,1,9,2,8,2,24,1,13,3,8,1,24,2,13,1,8,1,7,1,13,1,6,2,13,1,24,1,9,3,12,1,15,1,14,1,9,1,7,1,28,13,30,1,8,1,16,1,11,1,17,1,16,4,17,1,16,2,17,1,16,2,11,3,9,1,11,2,9,1,11,1,16,2,9,2,11,1,16,7,17,5,16,4,11,1,16,1,11,1,16,2,17,1,16,9,11,1,16,3,11,1,16,2,11,3,9,2,8,1,11,1,9,2,11,1,9,7,13,1,9,2,13,1,9,1,13,6,9,1,13,1,9,4,11,2,9,2,16,2,11,2,16,6,11,1,16,1,11,2,9,1,11,1,16,1,9,2,13,1,9,7,13,1,9,3,13,1,8,1,9,1,13,1,9,1,11,2,16,7,17,3,16,5,9,1,13,1,9,1,13,2,6,2,13,1,6,2,28,1,6,1,9,2,16,1,9,1,11,1,9,10,13,2,9,1,13,5,6,1,30,1,6,2,30,2,6,1,13,3,9,2,11,2,16,1,11,1,16,1,11,2,16,3,17,1,11,1,16,1,11,1,13,1,9,2,13,1,9,1,11,1,13,1,9,2,11,3,16,2,17,7,16,3,9,8,13,1,9,3,8,1,9,5,13,2,9,2,13,1,11,2,9,2,11,1,9,1,11,1,9,2,13,1,11,1,9,3,13,1,9,5,13,1,9,1,16,1,17,8,16,1,9,1,13,1,6,2,30,2,29,1,30,2,29,1,28,4,30,1,28,2,30,3,6,1,28,1,6,2,13,1,6,1,13,5,8,1,7,1,13,1,11,1,13,1,10,1,9,1,16,1,13,1,11,3,17,2,12,1,11,2,17,1,9,7,10,1,9,2,13,2,11,2,16,1,17,2,16,2,17,1,16,4,11,1,16,11,17,2,11,2,16,4,11,1,16,1,11,4,16,2,9,1,16,1,11,1,16,1,11,2,9,1,11,2,16,1,11,3,9,1,11,1,16,2,11,3,10,1,8,2,11,1,9,1,11,1,9,2,16,1,9,4,11,1,9,1,11,2,10,1,8,1,10,1,11,1,9,5,10,1,9,1,11,1,9,1,8,1,9,2,11,1,10,1,9,2,11,1,9,1,11,2,17,1,11,1,9,1,16,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,16,3,11,2,16,2,11,1,16,1,11,1,17,1,16,1,11,1,17,1,16,1,17,1,11,1,16,1,11,1,16,1,9,2,11,1,16,1,9,1,8,1,16,1,9,1,11,2,9,1,11,1,9,2,16,1,10,1,11,2,9,2,11,1,9,2,16,1,9,1,11,1,16,1,11,3,9,2,11,3,9,1,10,1,17,1,9,2,11,1,10,1,11,3,17,1,16,2,11,1,10,1,16,1,10,1,11,1,16,1,11,1,9,1,16,1,9,1,11,3,9,1,11,2,9,4,13,1,11,1,9,1,8,1,9,1,11,1,9,4,10,1,9,7,11,1,9,3,11,1,17,6,16,1,9,1,13,1,11,1,9,1,7,1,12,1,11,1,9,2,13,2,9,2,8,1,13,2,9,3,6,1,7,2,9,1,16,3,17,1,16,3,11,1,10,1,9,1,10,1,9,2,8,1,9,1,8,1,9,1,8,2,9,1,8,1,9,1,8,2,13,1,9,4,13,1,9,2,8,1,9,2,13,1,10,1,13,2,9,2,10,1,9,6,11,3,9,1,16,1,11,5,16,1,9,3,8,1,11,1,13,1,6,2,13,1,9,2,11,1,16,1,17,9,16,1,17,7,16,1,17,12,16,1,17,3,16,1,17,2,16,1,17,2,16,2,17,3,16,7,9,1,13,1,9,1,8,2,13,2,9,2,13,1,9,1,13,1,8,2,13,2,8,1,13,1,9,1,7,1,13,4,9,1,13,2,8,1,13,2,8,2,9,1,13,1,8,3,13,1,8,1,13,1,8,1,13,3,8,1,13,1,8,1,13,4,9,1,13,2,9,1,13,7,9,1,13,3,8,1,13,6,8,1,10,1,9,2,13,1,8,1,13,1,8,1,13,4,9,6,13,1,8,2,13,1,8,5,13,1,8,1,13,1,8,1,13,4,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,6,1,13,6,9,2,13,4,8,1,13,12,9,1,8,1,13,1,8,1,13,13,7,1,13,3,8,1,13,1,8,1,11,2,9,1,13,6,8,1,13,13,8,1,13,2,8,1,13,4,8,1,13,2,9,1,8,1,9,1,13,2,9,1,17,1,16,1,11,1,16,1,9,2,8,3,13,2,9,1,13,1,9,1,13,1,8,1,9,1,13,3,9,1,13,1,8,1,9,1,8,3,11,1,13,1,8,1,9,1,8,1,9,2,13,1,9,1,13,4,8,1,9,3,8,2,9,1,13,6,8,1,13,1,9,1,13,1,7,1,13,4,8,1,13,2,8,1,13,2,8,1,13,1,9,1,8,1,13,6,6,1,13,1,8,1,13,1,8,1,13,2,7,2,8,1,9,3,13,1,8,1,13,4,9,1,8,1,9,3,8,1,13,1,8,1,9,1,8,2,9,1,13,1,9,1,13,1,8,1,9,2,8,2,9,1,8,1,9,2,13,1,9,2,13,1,9,4,8,1,9,1,13,2,8,1,13,1,8,1,13,3,9,1,8,1,9,2,13,1,9,2,8,1,9,2,13,1,9,1,8,1,13,1,8,2,13,1,8,1,13,4,9,5,8,2,13,3,8,1,13,2,9,2,8,1,9,3,8,1,16,1,9,1,16,1,9,1,11,1,9,3,11,1,16,1,9,1,8,3,9,1,16,1,13,1,9,1,8,3,9,1,8,1,9,3,8,1,9,1,8,2,13,1,8,2,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,9,1,8,1,9,5,13,1,9,1,12,1,9,5,11,2,16,1,17,1,11,1,9,4,11,1,9,2,16,1,11,1,9,1,16,3,11,1,16,2,11,3,13,1,7,1,16,1,12,1,11,1,12,1,11,1,9,5,24,1,9,1,10,1,24,1,8,1,13,1,24,1,9,1,8,2,7,1,8,1,13,1,8,1,13,3,24,1,8,4,9,1,8,1,7,1,8,3,13,1,24,1,8,2,24,1,10,1,8,2,24,1,8,1,9,1,8,2,24,1,13,2,8,1,9,1,8,1,13,2,9,1,13,1,24,1,13,1,24,1,8,1,13,1,9,1,8,1,13,2,7,1,6,1,7,1,6,1,29,1,6,1,8,1,13,1,6,1,8,1,24,1,17,9,16,1,9,2,17,3,16,2,17,1,11,1,16,2,17,2,16,1,11,2,16,2,11,2,16,2,10,1,11,1,17,2,16,5,11,1,16,1,11,1,9,2,16,1,9,1,10,1,11,1,9,1,16,1,17,1,11,2,10,2,11,1,9,1,12,1,16,1,11,1,10,1,11,1,9,2,13,1,9,3,13,1,9,2,13,1,9,3,16,2,9,1,11,1,9,1,11,2,8,1,9,2,10,1,9,4,11,1,9,2,11,1,12,1,9,1,11,1,9,2,8,2,9,1,11,1,9,5,11,1,9,9,8,1,9,1,13,1,9,1,8,1,10,1,13,1,8,2,13,1,9,2,8,3,9,1,8,1,10,1,24,1,9,4,13,2,8,1,9,1,10,1,11,1,12,3,11,1,9,1,17,2,9,3,6,1,13,3,8,1,9,2,8,2,9,1,8,1,9,1,11,2,8,1,9,3,13,1,9,1,13,1,9,2,13,6,9,2,13,6,8,2,13,1,8,3,13,1,9,1,13,1,9,1,13,3,9,2,8,1,9,1,8,1,9,11,8,1,9,1,8,1,9,1,13,2,8,2,9,5,8,1,9,1,8,1,11,1,9,2,11,1,13,1,9,2,10,2,11,2,9,1,11,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,11,2,10,1,11,1,9,1,11,1,16,1,9,1,10,1,11,1,16,1,9,2,11,1,9,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,13,1,11,1,16,1,9,1,11,2,16,1,11,2,9,1,16,2,11,1,9,4,11,1,9,1,11,2,9,1,13,1,9,6,8,1,9,6,13,1,11,2,9,1,17,1,9,3,11,3,9,3,11,5,16,2,11,1,16,1,11,1,16,4,11,1,16,3,11,1,16,1,9,2,16,1,9,1,11,1,9,1,8,1,9,2,16,2,11,1,16,1,17,6,16,5,11,1,16,1,13,1,10,1,11,1,16,1,11,1,9,1,11,2,9,3,11,1,9,1,11,1,9,4,11,5,9,1,11,1,9,1,10,1,11,2,9,1,11,2,16,4,17,3,16,4,17,1,16,3,17,1,11,1,16,1,11,1,16,2,11,2,16,2,11,1,17,1,11,1,16,2,17,1,16,1,17,1,16,3,17,1,11,1,16,3,11,1,16,1,11,1,17,1,16,6,17,1,16,4,9,1,16,1,9,1,11,1,10,1,11,4,9,1,11,1,16,1,11,1,9,1,11,1,16,2,17,1,16,3,11,1,16,5,11,1,16,1,11,1,17,1,16,1,17,4,5,124,13,2,28,11,30,1,28,3,8,1,17,2,10,2,9,2,10,1,8,3,17,11,16,1,13,2,33,1,5,51,28,2,13,1,7,1,9,2,13,1,9,1,10,1,12,1,17,2,16,1,11,1,16,1,17,5,9,1,12,1,9,1,11,1,14,1,9,1,15,1,17,1,16,1,12,1,17,3,11,1,9,1,13,1,8,1,13,1,9,1,16,1,11,1,17,3,9,2,12,1,11,3,9,1,8,1,10,1,8,1,9,2,8,1,24,1,12,1,8,1,6,3,7,1,24,1,13,2,24,1,6,1,13,1,7,1,9,1,12,1,17,1,12,1,17,1,11,1,9,1,17,4,12,1,7,1,13,1,6,1,8,1,6,1,13,1,8,1,12,1,9,2,6,2,29,2,13,2,8,1,6,1,30,1,10,1,17,1,9,1,}, {6,2,7,1,8,2,12,1,10,1,17,2,9,1,24,1,13,1,29,1,30,1,6,2,7,2,12,3,9,1,8,1,24,1,8,1,11,1,17,3,8,1,7,1,15,1,13,1,6,1,7,1,6,1,30,1,8,1,13,1,8,1,7,2,29,1,8,1,13,2,6,1,9,1,8,1,6,3,13,1,30,1,24,1,29,1,6,2,7,1,13,1,24,2,10,1,12,1,10,3,8,1,24,1,9,2,17,1,11,1,17,1,9,1,8,1,13,1,9,1,13,1,7,1,8,1,11,1,15,1,9,1,8,1,28,1,24,1,9,1,15,1,14,1,9,1,8,1,15,1,14,2,15,1,8,1,9,3,12,1,17,3,10,1,17,1,11,1,16,1,12,1,16,1,24,1,17,2,12,1,11,1,17,9,16,1,17,3,15,1,10,1,9,1,11,1,8,1,9,1,12,1,9,2,15,1,10,1,12,1,17,3,12,1,17,10,16,1,17,3,12,1,17,27,16,2,13,1,8,1,9,1,6,3,28,11,30,3,28,1,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,3,30,1,7,1,29,2,30,1,8,1,24,1,12,1,6,1,30,2,29,1,13,2,16,1,17,2,12,3,9,1,8,1,10,1,8,1,9,1,8,2,24,1,6,1,8,1,6,2,13,3,24,1,12,1,9,1,24,1,12,1,9,1,10,1,15,1,14,1,12,1,6,1,28,10,30,1,28,3,8,1,11,1,16,4,17,1,16,2,17,1,16,7,11,2,16,1,11,2,16,3,11,1,16,1,11,1,16,1,11,1,17,1,16,2,17,7,16,7,17,1,16,9,11,1,16,2,11,4,16,2,11,2,9,3,13,1,9,2,13,1,9,1,13,1,9,2,13,4,9,1,13,6,9,3,13,1,9,3,11,1,9,1,13,1,9,5,16,1,11,2,16,2,17,1,16,2,11,2,16,1,11,2,16,1,9,3,11,1,9,3,11,1,9,1,8,1,9,3,13,1,9,1,13,2,9,1,11,1,9,1,16,2,11,1,16,6,17,1,16,1,17,2,16,1,11,1,9,1,13,3,9,1,13,5,6,1,13,3,11,3,9,3,11,1,9,5,11,1,9,4,13,1,9,1,6,1,13,1,30,1,13,1,6,2,13,1,6,2,13,1,6,1,13,3,9,1,16,1,11,2,16,1,11,2,16,4,17,1,11,3,9,3,11,1,9,1,13,1,9,3,11,1,16,4,17,6,16,5,9,2,11,1,13,3,9,7,11,1,13,1,9,1,13,1,9,1,13,1,9,4,11,1,9,2,11,1,9,7,6,1,13,1,9,6,8,1,9,3,17,10,8,1,13,1,30,1,6,1,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,29,1,28,3,29,2,30,1,13,4,9,1,8,3,13,2,9,1,7,1,9,3,11,1,8,1,12,1,16,2,10,1,12,1,16,1,17,1,11,1,16,2,12,1,16,1,9,1,11,1,10,1,9,3,8,1,9,1,8,1,9,1,13,1,17,4,16,6,17,1,16,9,17,1,16,1,11,1,16,3,17,1,16,1,11,2,16,4,11,4,16,1,11,2,16,1,11,1,16,5,11,5,16,1,11,3,16,1,11,1,16,1,17,1,16,1,10,1,9,1,16,1,9,2,16,1,10,1,16,1,9,2,10,1,9,3,11,1,9,1,8,1,11,3,13,1,10,1,9,1,11,1,9,1,13,1,10,1,11,1,9,1,17,1,9,2,11,1,9,1,11,2,9,1,10,1,11,1,9,1,16,3,11,1,16,1,11,1,9,1,11,1,9,1,16,1,11,2,17,1,16,7,11,1,10,1,16,1,17,1,16,1,17,1,16,3,11,1,9,1,10,1,9,1,16,1,11,1,8,1,11,1,9,2,11,2,10,1,11,1,9,1,16,1,9,2,11,1,10,1,9,2,11,3,10,3,16,1,9,1,11,5,9,1,11,2,9,3,17,1,16,1,9,1,17,1,10,1,11,1,16,2,11,1,16,3,17,1,16,1,17,1,16,2,11,4,16,1,11,3,16,1,9,2,8,1,11,1,8,2,9,2,13,1,9,1,8,1,9,1,13,1,9,1,10,2,9,3,11,1,16,1,11,1,16,1,11,1,17,3,16,1,17,3,16,1,9,3,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,2,8,1,13,1,7,1,11,1,9,1,8,1,13,1,6,1,13,1,30,1,28,1,16,1,9,1,16,2,10,1,11,1,8,2,9,2,13,1,9,2,8,2,13,2,8,1,13,1,8,1,13,1,8,1,9,1,8,2,9,1,8,1,13,1,8,2,9,5,13,1,11,1,9,3,13,2,9,1,10,1,11,2,9,1,11,1,17,1,16,2,9,2,11,1,16,5,11,1,16,1,11,3,9,2,11,1,17,11,16,1,17,23,16,1,17,3,16,1,17,2,16,1,17,8,16,4,17,1,16,3,13,2,29,1,13,8,9,1,13,1,9,2,13,1,8,2,13,1,9,1,13,1,8,2,13,2,9,1,13,1,8,1,9,10,13,1,8,2,13,1,9,1,13,1,9,1,6,1,13,2,6,1,13,4,8,1,9,1,13,1,8,1,13,2,8,1,13,1,9,1,13,1,8,2,13,4,8,1,13,2,9,1,13,1,9,2,13,1,8,1,13,2,7,1,13,3,9,1,8,5,9,1,13,2,9,3,8,1,13,1,9,1,11,1,9,1,8,3,13,1,9,1,13,1,9,2,8,1,13,1,9,4,13,2,6,1,13,1,8,1,13,1,9,2,8,2,13,8,8,3,13,1,8,2,13,1,8,1,13,2,8,1,13,3,8,1,13,2,9,1,13,1,7,1,13,2,7,1,13,1,7,1,13,1,8,2,13,1,9,1,16,1,13,3,8,1,13,4,9,1,13,2,8,1,13,1,9,1,13,1,9,1,13,4,8,1,13,4,8,2,13,4,8,3,9,2,8,2,13,1,16,2,17,1,11,1,9,7,11,1,8,1,9,1,13,1,9,1,8,1,13,5,9,1,8,1,13,2,8,1,9,1,11,1,13,1,9,1,8,1,13,1,9,1,13,6,9,1,13,2,9,1,8,1,9,3,8,1,13,1,9,1,8,1,9,1,13,3,8,1,9,1,13,5,9,1,13,3,8,1,13,1,8,1,13,1,8,1,13,15,8,1,9,1,6,1,13,1,6,1,9,1,13,4,9,1,13,1,8,1,9,1,13,3,8,1,13,4,8,1,9,5,11,1,8,1,9,4,8,1,13,1,8,2,9,3,8,2,9,1,8,4,13,3,8,3,6,1,11,1,10,1,9,1,8,1,9,1,8,2,9,1,13,1,8,1,13,1,8,1,9,1,13,3,8,1,13,1,8,1,9,1,8,1,13,3,9,1,8,2,13,1,8,2,13,3,9,1,8,1,13,1,8,1,13,1,8,2,9,1,16,1,11,2,17,1,11,1,9,2,13,1,8,4,13,1,9,1,13,2,9,1,13,4,9,1,13,1,8,1,9,1,8,2,9,3,13,1,9,1,8,4,13,7,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,2,8,2,9,2,8,1,10,1,17,3,13,1,6,1,9,9,8,1,9,1,10,1,9,2,13,1,9,2,28,1,16,2,11,1,10,1,11,2,9,3,11,1,9,1,24,1,8,1,24,3,8,1,13,1,8,1,9,1,8,1,24,1,13,2,8,5,9,1,8,1,12,1,7,1,8,1,13,3,24,1,13,1,8,1,12,1,7,1,10,1,8,1,6,1,8,2,9,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,9,1,8,4,9,3,8,3,24,1,13,1,8,2,13,1,8,1,6,2,7,2,30,1,28,2,30,1,13,1,24,1,8,1,12,2,17,7,11,2,17,2,16,2,17,2,16,3,11,1,16,3,17,1,16,4,11,1,17,2,16,1,9,1,16,1,11,2,17,2,11,2,16,1,11,4,17,1,16,1,17,3,11,1,12,1,11,1,16,1,12,1,17,2,11,1,10,1,11,1,10,2,16,1,11,1,16,1,11,2,16,1,11,1,16,2,17,1,11,2,16,2,11,3,9,5,11,1,8,1,9,1,11,1,9,2,12,1,11,2,17,2,9,1,10,1,9,1,13,1,9,1,11,1,9,3,8,1,11,1,9,2,10,1,9,7,8,1,9,9,8,1,13,1,9,1,8,1,24,1,13,1,8,1,9,1,13,1,8,1,13,1,24,1,9,1,8,1,9,2,13,1,11,1,13,1,8,1,9,1,8,1,24,2,9,1,17,1,11,2,17,3,11,1,9,1,7,1,13,2,7,1,28,1,6,1,8,1,13,2,9,1,13,1,6,1,9,1,8,1,9,3,8,1,9,2,13,2,8,2,9,1,13,1,8,1,13,1,8,1,13,6,8,1,9,1,8,1,13,1,8,1,13,1,9,1,8,2,13,3,9,1,8,1,9,1,8,1,13,2,9,2,13,1,9,2,8,3,9,1,13,1,8,1,9,1,8,1,13,4,9,1,8,1,9,4,8,1,9,2,13,1,11,1,9,1,10,1,9,2,11,2,9,2,11,2,9,1,11,4,9,1,16,1,11,1,10,1,9,3,11,1,13,1,10,1,11,1,10,1,16,1,9,2,16,1,11,1,16,1,9,1,11,3,9,1,16,1,9,1,11,1,9,1,16,1,11,1,9,1,16,1,9,1,11,1,16,1,17,1,16,3,9,2,16,1,9,2,16,1,11,4,16,1,11,2,16,1,11,1,9,2,10,1,8,1,16,1,11,1,8,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,9,4,11,1,9,5,8,1,9,5,11,2,9,1,11,3,9,1,11,1,16,1,11,1,16,4,11,1,17,2,11,1,16,6,11,2,9,2,11,1,9,1,10,1,16,7,17,2,16,1,11,1,16,1,17,1,16,2,10,1,11,4,16,1,9,1,11,1,10,1,11,2,9,5,11,1,9,1,11,1,9,2,10,1,9,1,10,1,9,2,8,1,9,5,11,1,9,1,8,1,9,3,11,5,17,1,11,2,16,8,11,1,16,3,11,1,16,3,11,1,16,2,11,2,17,1,16,1,17,1,16,1,17,1,16,5,17,1,16,5,11,1,16,2,11,1,16,5,11,5,10,1,11,1,9,1,11,2,9,1,16,1,11,3,9,1,16,1,11,2,16,2,11,1,16,7,11,3,16,1,11,1,16,6,5,6,16,1,5,7,33,3,5,102,13,2,28,6,30,1,28,2,29,1,28,5,13,1,17,1,16,1,9,2,12,1,9,1,8,2,13,1,9,1,24,1,11,1,17,1,16,1,17,9,11,1,9,1,13,1,5,50,28,3,6,1,9,1,8,1,17,1,12,1,16,2,17,2,16,3,17,4,16,1,11,1,9,1,10,1,9,1,14,1,15,1,9,1,11,1,9,1,12,1,17,3,8,1,9,1,13,2,9,2,17,4,9,1,24,1,17,1,9,2,24,1,9,2,10,1,17,1,10,1,24,1,12,1,8,1,7,1,12,1,13,1,29,1,7,1,9,1,24,2,8,1,6,1,24,1,8,1,6,1,13,1,10,1,17,1,9,1,17,2,10,1,11,1,17,4,8,2,7,3,6,1,24,1,8,1,10,1,24,2,8,1,28,2,6,1,13,1,9,1,13,1,29,1,24,1,12,1,15,1,24,1,}, {6,3,24,2,12,1,24,1,12,1,17,1,12,1,9,1,7,1,30,1,13,1,6,1,7,1,6,1,8,1,11,3,8,2,24,1,8,1,9,1,16,1,17,1,14,1,10,1,8,1,24,1,6,1,7,1,30,1,7,2,13,3,6,1,29,1,13,1,6,1,30,1,6,1,13,1,8,1,24,1,13,2,8,1,7,1,6,1,29,1,6,3,7,1,10,2,24,1,8,1,15,2,8,1,15,2,16,1,11,1,9,1,17,3,12,1,8,2,9,1,10,1,8,2,15,2,24,1,13,1,30,1,8,1,24,1,15,1,12,1,8,3,14,1,15,1,9,1,8,1,9,1,13,1,24,1,9,1,17,3,12,1,11,1,9,1,12,1,10,1,24,1,10,1,17,3,12,1,17,9,16,1,14,1,17,1,16,1,11,1,14,1,11,1,12,1,24,1,9,2,8,1,9,2,16,1,12,1,9,2,10,1,12,1,16,1,17,12,11,1,16,1,12,1,17,27,12,1,8,1,7,2,6,1,28,1,29,1,28,11,30,1,28,5,30,1,28,2,30,1,28,6,29,1,6,2,30,1,8,1,15,1,24,1,29,1,6,1,29,1,6,1,29,1,13,1,10,1,17,1,16,1,11,1,16,1,12,1,10,1,13,1,9,1,13,1,8,1,24,1,9,1,13,5,6,1,7,1,8,1,9,1,8,1,24,1,9,1,12,1,9,1,15,1,17,1,14,1,9,1,13,1,28,14,8,1,17,1,11,2,16,22,11,1,16,3,17,1,16,3,17,6,16,5,11,1,16,3,11,3,16,1,11,1,16,6,9,2,11,2,9,4,13,2,9,1,13,8,8,1,11,1,9,3,13,1,9,1,13,1,9,1,13,3,9,2,11,1,9,1,11,1,16,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,16,5,11,1,16,2,9,3,11,1,9,1,11,1,9,6,13,1,9,1,13,1,9,1,11,1,13,2,9,3,11,1,16,7,17,3,16,3,11,1,13,2,9,2,13,4,6,2,13,1,9,4,11,3,9,2,13,1,9,6,13,1,9,3,13,2,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,6,2,9,2,11,2,16,4,11,1,16,1,17,2,16,1,17,1,16,1,9,1,11,2,9,3,13,1,9,4,11,2,16,3,17,6,16,2,17,1,16,2,11,1,9,3,13,3,11,1,9,3,13,1,9,1,16,1,9,1,13,1,9,1,13,2,9,4,13,1,11,1,9,12,8,1,9,9,11,1,17,9,9,1,13,1,28,1,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,4,30,2,28,1,7,1,13,1,9,2,11,1,9,4,13,2,9,1,8,1,9,1,8,1,13,1,9,1,10,1,9,2,13,1,11,1,10,1,12,1,17,1,9,1,17,1,11,1,9,1,11,1,10,1,11,1,9,1,17,1,9,2,8,1,9,1,11,1,9,1,10,1,13,1,9,1,17,3,16,4,11,1,17,1,16,2,17,2,16,3,17,2,16,1,17,1,16,3,11,1,16,1,11,1,16,1,10,1,16,2,11,1,16,1,11,1,9,1,11,3,17,1,11,1,16,1,11,1,10,1,11,2,16,1,9,1,11,1,9,2,11,1,9,2,16,1,11,2,16,1,11,2,9,3,16,1,11,2,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,9,4,10,1,9,1,11,1,9,5,8,1,9,2,11,1,16,1,8,1,9,1,11,1,9,3,11,1,9,1,16,1,10,1,16,1,11,1,16,1,9,1,11,1,16,4,11,1,16,1,10,1,16,1,11,1,16,2,11,1,16,3,11,1,17,2,11,1,17,5,16,3,9,4,11,1,9,1,11,1,9,2,11,1,9,6,11,2,9,2,10,1,11,1,9,1,11,1,8,1,16,1,11,2,9,1,11,2,10,3,11,2,16,1,11,1,10,1,11,4,9,1,11,2,16,1,9,1,11,1,16,3,17,1,9,1,16,1,11,1,17,1,11,3,9,1,16,1,11,1,9,2,11,1,9,2,10,2,9,1,11,1,10,1,9,4,11,2,8,1,11,1,9,1,10,1,8,1,9,1,11,1,9,3,11,1,17,8,9,1,13,1,12,1,9,1,8,2,9,1,8,1,13,1,9,1,13,2,8,1,13,1,30,1,13,1,6,1,9,1,13,1,6,1,8,1,28,2,13,1,9,6,8,3,13,1,9,1,8,1,13,1,9,2,8,1,13,1,9,1,8,1,9,1,8,2,13,1,9,4,8,1,9,4,10,1,9,5,8,1,9,1,11,1,9,1,11,1,9,2,16,1,17,1,16,1,11,1,9,2,16,2,17,2,16,2,10,1,16,3,17,1,16,2,17,2,16,1,17,4,16,1,17,4,16,2,17,24,16,1,17,5,16,1,17,10,16,2,17,1,16,4,11,2,8,1,9,1,13,1,6,1,9,1,13,4,9,1,17,2,13,5,8,3,13,4,9,2,13,1,9,6,8,1,9,2,8,1,13,1,9,1,13,2,9,1,8,1,6,1,13,4,7,1,9,2,13,2,8,2,13,2,9,2,11,1,13,1,8,1,13,2,6,1,13,4,9,1,13,1,8,1,9,1,8,1,11,1,13,1,9,1,6,1,8,1,13,2,8,1,9,1,8,2,10,1,9,1,8,2,13,1,9,4,8,1,9,1,13,2,8,1,13,1,10,1,13,1,8,1,9,1,8,1,13,1,8,1,13,1,9,1,8,3,9,1,8,1,13,1,9,1,13,1,11,1,8,1,13,5,6,1,13,1,6,2,13,1,6,1,13,10,8,1,13,3,8,1,7,1,8,1,7,1,9,1,8,1,7,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,16,1,9,1,13,1,8,1,13,1,8,1,13,10,7,1,13,8,9,1,13,1,6,1,8,3,13,3,9,2,13,1,9,3,8,1,9,1,17,1,16,2,11,1,9,1,8,1,9,1,8,1,13,2,8,1,9,1,8,1,13,1,9,1,8,1,9,4,13,1,9,1,13,1,8,2,13,1,8,3,9,1,13,2,8,1,13,3,9,1,8,1,13,1,8,1,13,1,6,1,13,3,8,3,13,1,8,1,13,5,8,1,13,4,11,1,9,1,13,3,8,2,13,1,8,1,13,1,9,1,8,1,13,2,6,1,13,3,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,8,4,13,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,9,2,13,4,9,2,8,2,9,1,8,1,11,2,9,5,8,1,9,1,13,1,9,1,8,1,9,1,10,1,13,2,9,1,13,1,8,1,13,1,9,1,13,2,9,1,8,1,13,1,9,3,13,1,9,1,13,3,9,1,13,1,8,1,9,2,13,1,9,1,13,1,8,1,13,3,8,3,13,3,8,1,13,4,9,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,8,1,11,2,16,1,9,5,11,1,9,1,11,1,8,1,9,1,8,1,13,1,9,2,8,1,9,1,8,2,9,2,13,1,9,1,8,1,9,3,8,1,13,3,9,1,8,1,13,1,6,1,8,1,13,1,8,3,13,1,8,1,9,1,13,2,8,1,13,2,10,1,13,1,9,7,13,1,11,1,17,2,9,1,8,1,9,2,8,1,10,1,9,1,8,1,9,1,8,1,9,4,11,1,9,1,10,1,9,1,30,1,13,1,16,1,9,1,11,1,12,2,11,2,10,1,9,2,13,1,9,1,8,2,24,1,7,1,13,2,9,1,13,4,6,1,8,1,24,1,8,1,13,1,8,2,24,1,9,1,7,1,24,2,8,2,13,1,7,1,24,1,7,1,13,1,9,1,24,1,13,2,9,1,13,1,24,1,8,2,24,1,8,3,9,1,13,1,24,1,13,1,8,1,24,1,8,1,24,1,9,1,13,1,8,5,7,5,6,2,30,1,28,2,6,1,12,1,13,1,12,1,10,1,17,12,16,1,17,1,16,1,17,4,11,1,16,1,17,1,16,4,17,2,16,1,17,1,16,4,17,2,16,1,17,1,9,1,11,1,10,1,16,1,17,5,12,1,16,1,12,1,17,1,12,2,11,2,12,3,11,4,9,1,11,2,9,1,16,2,10,1,11,2,16,1,11,1,16,1,11,2,17,1,11,2,10,3,9,1,11,1,8,1,11,1,9,1,11,2,10,2,11,2,17,1,11,1,9,1,11,1,9,1,10,1,9,2,12,1,9,3,11,1,9,3,10,1,9,2,8,1,9,2,13,1,9,2,8,2,9,3,10,1,9,2,8,1,13,1,10,1,9,1,13,1,24,1,13,1,9,1,13,1,9,1,13,1,8,1,24,1,9,2,8,2,9,1,8,2,13,2,24,2,8,1,9,1,17,2,11,1,12,1,17,2,9,1,16,1,13,1,9,2,13,1,6,1,30,1,6,1,9,2,8,1,9,1,8,1,9,2,8,1,9,2,8,1,9,1,13,1,8,1,13,1,8,1,13,2,9,1,13,3,9,1,30,1,6,1,29,1,30,1,13,1,30,2,6,1,30,3,29,1,28,4,8,1,9,1,8,2,9,2,13,1,9,1,8,2,9,1,13,4,9,2,13,1,9,1,13,3,9,3,8,1,9,1,13,1,9,4,11,1,9,1,11,1,8,1,13,1,9,4,11,1,8,1,9,1,11,2,16,2,9,1,11,2,9,3,16,1,9,2,11,1,9,1,11,3,16,1,11,2,9,1,11,1,10,1,16,1,11,1,9,2,11,3,16,1,11,2,16,1,11,1,16,1,9,1,17,1,9,3,16,1,11,1,9,1,11,1,9,1,10,1,11,4,17,1,11,1,16,1,10,1,9,1,11,1,9,2,16,2,9,3,11,4,9,1,16,1,9,5,11,1,9,2,8,1,9,1,8,1,13,1,9,1,11,1,9,2,11,1,9,2,11,2,9,1,11,1,9,2,16,3,11,2,9,1,17,1,16,1,11,1,16,3,11,1,16,4,11,3,9,1,10,1,9,2,16,3,17,1,16,1,17,2,16,1,17,2,16,1,11,2,16,1,11,1,16,4,10,1,9,4,11,1,9,3,10,1,11,1,9,1,16,1,9,2,10,1,11,2,9,1,11,1,9,1,11,2,16,1,9,3,11,2,8,1,11,2,9,1,11,2,9,1,30,1,6,3,8,1,9,1,11,2,9,1,10,1,9,1,11,2,16,1,10,1,11,1,16,2,11,1,16,1,17,1,11,2,16,1,9,1,16,2,11,1,16,1,11,1,16,11,17,1,16,3,17,1,16,4,11,1,16,1,10,1,9,1,16,1,11,3,9,1,10,1,9,3,11,1,9,1,11,5,9,1,16,1,11,2,10,1,16,3,11,1,16,2,17,1,16,3,11,1,9,1,11,1,9,1,16,3,11,1,16,1,9,1,11,1,9,1,11,2,17,2,11,3,16,5,9,1,13,3,5,98,13,1,9,1,28,8,30,2,28,5,13,1,17,2,9,1,24,1,9,2,13,2,8,1,13,1,24,1,13,1,9,2,17,11,16,1,9,1,5,49,28,3,6,1,9,2,11,1,16,1,17,5,10,1,11,1,17,4,9,2,16,1,9,1,12,1,9,1,14,1,17,2,16,1,17,4,16,1,9,1,8,1,9,3,12,1,17,3,13,1,9,1,10,1,12,1,10,2,11,1,8,1,9,1,8,1,24,2,8,1,17,1,12,1,9,1,24,1,6,2,11,1,8,2,13,1,6,1,29,1,24,1,13,1,7,1,11,1,17,1,9,1,16,1,10,1,16,1,17,6,12,1,13,1,7,1,6,2,13,1,9,1,10,2,8,1,7,1,6,2,29,1,8,1,9,1,13,3,17,1,9,1,12,1,}, {6,1,13,1,7,1,8,1,9,2,11,1,12,2,9,2,6,1,13,1,6,2,8,1,13,2,24,1,17,1,9,2,12,1,9,2,10,1,12,2,9,1,8,3,24,1,13,2,29,1,30,1,8,2,7,1,13,1,7,1,29,1,6,1,8,3,13,2,8,1,13,2,7,1,8,1,6,1,13,2,8,1,13,1,24,1,9,1,10,1,12,1,24,1,9,1,10,1,15,1,9,1,10,1,11,1,8,1,17,3,10,1,9,1,11,1,10,1,24,1,8,2,15,1,14,1,8,1,13,1,7,1,13,1,24,4,6,1,13,1,15,1,14,1,24,1,8,1,9,2,24,1,9,1,17,3,12,1,17,1,8,1,24,1,17,1,9,1,15,1,17,4,12,1,11,1,17,5,16,3,14,1,17,2,9,1,14,1,8,1,12,1,10,1,9,1,15,2,17,1,12,1,16,1,17,4,12,1,17,14,9,1,17,27,11,1,16,1,13,3,30,1,28,1,30,2,28,3,30,1,28,13,30,1,28,5,30,2,28,1,30,1,6,1,29,2,8,1,24,1,10,1,13,1,30,2,6,1,8,3,17,1,12,1,16,1,17,1,9,2,13,1,8,4,24,1,8,1,24,1,7,1,13,1,7,2,8,3,24,2,9,1,11,1,15,1,12,1,17,1,14,2,6,1,28,14,13,1,17,1,16,6,17,1,16,9,11,1,16,10,17,6,16,1,17,1,16,9,11,1,13,1,9,2,8,1,9,5,11,1,16,2,11,1,9,1,11,1,16,1,9,4,11,1,9,1,13,1,9,1,13,1,8,1,13,3,9,2,13,1,9,3,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,13,1,9,2,11,1,9,1,11,1,9,2,13,1,9,1,11,1,16,1,11,1,16,7,11,1,16,3,11,1,9,8,13,1,9,2,13,4,9,3,16,10,17,1,16,3,9,2,13,2,9,1,13,7,9,1,11,5,9,1,11,1,9,3,13,1,9,1,13,2,9,5,13,2,6,3,13,11,16,1,11,1,16,2,11,1,16,10,11,2,9,2,11,1,9,2,13,1,9,2,11,3,16,2,17,7,16,4,11,2,9,3,11,1,9,5,11,1,9,4,13,1,9,1,13,1,9,1,13,1,9,2,16,1,13,1,11,1,9,3,13,2,9,5,13,1,11,1,9,1,11,1,13,1,9,7,11,1,17,9,16,1,9,1,30,2,28,4,30,2,28,4,30,3,28,2,6,2,10,1,9,1,11,1,9,1,11,1,10,1,9,7,8,1,9,1,13,1,10,1,13,1,9,1,8,2,9,1,8,1,17,1,8,1,13,1,12,1,11,1,12,1,11,1,9,1,11,2,9,2,16,1,8,1,9,1,13,1,9,2,8,1,16,1,17,3,16,1,17,1,16,4,17,2,16,6,17,1,16,3,17,1,16,1,11,2,16,1,11,1,16,2,17,1,16,1,11,1,16,2,11,1,16,1,11,1,16,2,17,1,16,2,11,3,17,1,16,1,10,1,11,1,16,1,11,1,9,2,16,3,11,1,16,1,11,1,9,1,16,1,9,1,16,4,11,1,16,2,11,4,9,2,10,1,9,2,13,1,11,2,9,2,11,1,9,4,11,1,9,2,11,4,9,1,10,1,11,1,9,3,16,1,9,1,11,2,16,1,11,3,16,7,11,1,16,2,17,1,16,1,17,2,16,2,17,1,11,1,16,1,11,3,9,1,11,2,9,2,10,1,9,2,11,2,10,1,11,1,16,1,9,3,11,1,10,1,11,1,9,3,8,1,16,1,9,1,10,1,16,1,9,1,16,1,11,2,9,2,11,3,9,1,11,5,9,2,16,2,11,1,16,1,11,2,16,2,17,1,11,1,16,1,17,1,10,1,16,2,17,1,11,1,16,3,10,1,11,2,9,1,11,1,9,1,11,1,9,1,13,1,11,2,9,1,16,1,9,1,11,1,9,3,11,1,9,3,16,4,17,7,16,1,9,1,16,1,9,1,11,1,12,1,9,2,8,1,13,2,6,2,13,1,30,1,9,1,8,1,13,3,9,1,6,1,7,1,13,1,9,1,11,1,9,1,8,1,9,4,8,1,9,1,8,1,10,1,8,1,9,1,13,1,9,2,8,1,11,1,9,1,13,1,8,2,9,1,8,1,9,1,13,1,9,1,8,1,9,2,10,1,9,4,11,1,9,4,11,1,10,1,9,1,10,1,16,1,17,1,11,1,9,2,16,1,17,3,16,1,17,1,11,1,16,1,17,2,16,1,17,21,16,1,17,25,16,1,17,1,16,1,17,14,16,6,10,1,9,1,13,2,9,1,13,1,9,1,16,1,11,1,8,1,9,2,8,1,13,2,8,1,13,1,8,1,9,1,13,3,8,1,13,1,9,4,8,1,9,1,8,1,13,1,9,1,8,2,9,1,13,7,6,1,13,3,8,1,9,1,13,3,8,1,13,1,10,1,13,1,8,1,13,3,8,1,9,1,13,5,8,2,9,1,8,4,13,2,8,1,13,1,8,1,13,1,7,1,13,1,6,1,13,1,9,1,8,1,13,1,9,2,13,2,9,1,13,2,6,1,9,1,13,1,9,2,13,1,9,2,13,1,8,2,13,2,8,2,13,1,9,1,8,1,9,1,11,1,9,1,13,1,8,1,13,3,9,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,6,1,13,5,8,1,13,1,8,1,13,2,9,1,13,6,6,1,13,2,8,1,13,1,8,1,13,1,11,1,16,2,9,1,13,6,6,1,13,1,8,1,13,2,9,1,30,1,13,5,8,1,13,4,6,1,8,1,13,8,8,1,13,2,9,1,16,1,9,2,11,1,17,1,16,1,11,2,8,1,9,6,13,1,9,2,8,1,13,2,9,2,13,2,8,1,13,4,16,1,9,1,13,2,8,1,13,2,8,1,6,1,13,7,9,1,13,3,9,1,11,1,13,2,9,1,7,1,13,1,8,1,13,8,8,1,13,2,9,1,8,1,7,1,13,2,9,1,8,1,13,5,6,1,13,2,6,1,13,1,6,1,13,4,7,1,13,1,9,1,13,2,8,1,9,3,6,1,13,1,8,1,9,1,13,4,9,1,8,1,9,1,13,1,8,1,13,1,8,1,9,2,13,1,9,1,13,4,9,2,8,2,9,3,6,1,13,2,9,2,8,1,9,1,13,1,9,1,8,2,9,1,13,1,9,2,13,1,9,1,8,1,9,1,8,2,9,1,13,1,9,1,8,2,13,3,8,1,13,5,6,1,13,1,9,1,13,1,8,1,13,2,9,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,9,1,13,1,11,4,16,1,9,2,10,1,9,2,13,2,9,1,13,2,9,1,13,1,8,1,11,1,9,1,8,1,9,1,13,1,8,1,9,1,7,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,9,1,8,3,13,6,8,1,13,2,9,2,13,1,8,1,7,1,9,1,11,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,8,1,10,1,9,3,8,1,9,1,8,1,9,2,8,1,9,3,11,1,10,1,16,1,9,2,13,2,11,1,10,1,11,2,9,1,11,1,9,1,11,1,8,1,10,1,13,1,8,2,9,1,24,1,8,2,24,1,13,1,8,2,7,1,13,1,6,2,24,1,13,1,6,1,9,1,8,1,24,3,8,2,13,1,8,1,13,2,24,2,13,1,9,1,7,1,24,1,8,1,10,1,8,1,24,1,10,1,8,1,24,1,9,1,24,2,13,1,11,1,8,1,13,2,24,1,8,3,9,1,24,1,13,1,8,2,7,1,8,3,13,1,7,2,6,1,30,1,28,3,7,2,8,2,12,1,10,1,17,20,16,1,11,1,17,9,16,1,17,7,11,1,17,1,16,3,12,1,11,2,17,1,12,1,10,1,12,1,17,1,11,1,17,1,11,3,9,1,10,1,12,3,11,3,16,1,11,2,16,1,11,1,9,1,11,2,10,1,17,1,12,2,11,1,12,1,11,1,9,1,10,1,9,1,11,1,10,1,11,2,10,2,11,1,17,1,11,1,17,1,10,1,9,1,10,1,11,1,9,1,8,1,10,2,9,4,10,1,9,3,10,1,9,1,10,1,9,1,11,1,10,1,8,1,9,3,11,1,8,1,9,2,8,1,13,1,11,1,8,1,9,1,8,1,24,2,9,1,24,1,8,1,24,1,9,1,24,1,8,2,9,1,24,1,9,2,8,1,9,2,8,3,13,1,9,2,10,1,17,5,11,2,9,1,13,2,8,1,6,1,13,1,30,1,6,1,28,1,13,2,8,1,9,5,11,1,8,1,30,1,6,1,30,1,7,1,13,2,7,1,13,2,8,2,13,1,9,1,13,2,9,1,8,1,6,1,13,1,6,1,13,2,6,1,7,1,6,1,13,1,30,1,13,2,9,2,8,1,13,2,8,2,13,5,8,1,9,1,13,1,9,1,13,2,8,1,13,3,9,2,8,1,9,1,11,1,9,1,13,1,9,2,13,1,10,1,9,3,13,1,9,3,11,1,9,5,11,1,16,2,11,1,9,1,11,1,9,1,16,1,11,3,9,5,11,1,16,1,11,2,9,1,11,2,16,1,9,1,16,1,11,2,9,2,11,1,16,1,11,1,16,2,9,1,16,1,11,1,9,2,11,1,9,1,11,1,9,3,11,1,16,1,17,1,11,1,10,1,11,2,16,1,9,1,11,2,9,1,10,1,16,1,11,1,9,1,16,1,11,3,9,1,11,1,9,3,11,1,8,1,10,1,11,3,9,3,11,1,16,1,11,1,16,1,9,1,16,1,11,2,9,1,11,1,9,2,10,1,11,1,16,1,11,1,16,1,17,1,16,1,17,1,16,1,11,1,16,1,17,1,11,1,17,1,16,1,11,2,16,1,11,3,9,2,11,1,16,1,11,1,17,4,16,7,11,2,16,1,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,16,2,9,1,16,1,11,8,10,1,9,2,11,1,9,6,16,1,9,1,16,1,11,1,16,1,7,1,9,1,13,5,8,1,9,1,11,1,9,2,11,1,9,3,11,1,9,1,16,1,8,1,9,1,13,1,9,1,16,1,9,2,16,1,11,3,9,1,16,1,11,1,16,5,17,1,16,5,17,1,16,4,17,2,16,9,11,4,16,1,9,1,11,5,16,1,11,5,9,1,11,1,16,2,11,1,16,1,17,1,16,2,11,2,10,3,11,1,16,1,11,3,9,1,16,1,9,1,11,1,9,1,11,2,9,3,16,1,9,1,11,1,9,5,11,1,16,1,17,2,16,2,5,6,33,1,5,85,33,1,9,1,28,8,30,3,29,1,28,3,13,1,12,1,17,1,9,2,13,1,8,1,24,1,8,3,13,3,8,1,11,1,17,1,16,1,17,9,11,1,9,1,5,47,33,1,28,3,30,1,9,1,10,1,9,1,17,1,12,1,17,5,9,1,17,5,11,1,10,1,16,1,10,1,12,1,14,1,17,1,12,1,16,1,10,1,17,3,11,1,9,1,13,1,11,1,9,1,12,1,9,1,17,2,12,1,8,1,13,1,8,1,12,1,11,1,10,1,9,2,10,1,8,1,13,1,10,2,8,1,10,1,13,1,7,1,13,2,12,1,8,2,6,1,13,1,8,2,13,1,8,1,17,4,16,1,12,1,16,1,17,5,24,1,13,2,6,1,13,1,8,2,9,2,12,1,8,1,28,3,8,1,11,1,8,1,13,1,9,1,15,1,17,1,13,1,}, {29,1,7,1,30,1,9,1,8,2,7,1,9,1,12,1,10,1,8,1,30,1,13,1,7,1,6,1,8,1,13,2,10,1,17,1,16,1,12,1,9,1,8,1,9,1,11,1,10,1,17,1,12,1,6,1,10,1,13,1,6,1,28,1,29,1,7,1,28,1,8,3,7,1,30,1,13,1,30,1,6,2,24,1,8,1,13,1,7,1,6,1,29,1,6,1,7,1,30,1,6,1,13,1,8,1,12,2,10,1,8,1,9,1,12,2,15,1,17,1,12,1,17,1,11,1,17,3,11,1,16,1,8,1,10,1,24,1,10,1,13,1,8,1,10,1,12,1,9,1,6,1,13,1,8,3,24,1,10,1,6,1,13,1,14,2,12,1,13,1,15,1,17,1,10,1,9,1,17,3,16,1,9,1,16,1,9,1,15,1,10,1,17,5,9,1,17,5,9,1,16,1,14,2,12,1,17,2,9,1,15,1,9,1,15,1,12,1,10,1,15,1,11,1,9,1,17,1,12,1,10,1,16,1,9,1,16,1,11,1,17,1,12,1,17,8,12,1,17,1,16,1,17,12,16,1,17,14,16,1,17,2,9,1,13,1,8,1,6,1,30,1,28,5,6,1,28,22,29,1,28,1,7,1,29,1,7,1,13,1,14,1,9,1,13,1,28,1,29,1,30,1,6,1,8,1,11,1,12,1,17,1,16,1,15,1,12,1,8,2,24,1,13,1,8,1,13,3,24,1,7,1,13,1,6,2,13,2,8,1,24,1,9,1,11,1,9,1,16,1,10,1,17,1,15,1,16,1,13,1,28,14,13,1,17,1,11,1,16,6,17,2,16,3,17,2,16,5,17,3,16,2,17,1,16,3,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,4,11,1,16,2,11,3,9,2,13,1,11,1,8,1,9,4,13,1,11,1,16,1,9,1,11,1,9,2,11,2,9,1,11,1,9,3,13,2,6,1,9,1,13,1,9,1,13,3,9,2,11,1,9,1,11,3,9,2,13,2,9,3,13,1,9,1,16,2,9,2,11,1,9,1,11,1,9,1,11,1,16,11,11,2,9,1,11,1,9,3,13,1,9,2,11,1,9,2,13,1,9,1,13,1,9,2,8,1,9,2,16,4,17,4,16,1,17,1,16,1,11,2,9,1,13,4,9,1,13,5,9,1,11,7,9,4,11,2,9,3,13,1,9,1,13,2,9,1,30,1,13,4,6,1,13,1,9,1,13,7,11,4,16,2,11,1,16,2,17,3,16,6,9,8,11,2,16,2,17,2,16,1,17,2,16,1,17,1,16,4,11,2,16,1,9,3,11,1,9,1,11,1,9,5,11,1,9,1,16,1,9,3,13,1,9,7,13,1,9,5,13,1,16,1,13,2,9,3,13,1,10,1,13,2,8,1,9,4,16,3,17,7,16,1,13,1,28,1,30,1,28,1,30,2,28,2,30,2,28,3,30,2,28,1,30,2,6,1,9,1,17,1,11,2,8,1,10,1,12,1,9,3,10,1,9,1,8,1,9,1,10,1,13,1,9,1,8,2,13,1,12,1,8,1,9,1,10,1,9,2,10,1,16,1,11,2,10,2,11,2,9,1,11,1,16,1,11,1,13,1,8,1,13,2,10,1,17,4,16,1,17,1,16,1,17,2,16,5,17,2,16,2,17,1,16,1,17,1,11,3,16,3,9,1,16,1,11,1,16,2,17,1,16,3,11,1,16,4,11,2,9,1,11,1,16,1,11,5,16,3,11,1,9,1,16,1,11,5,9,1,11,1,17,1,16,2,17,1,16,2,11,2,9,2,16,1,9,3,10,1,13,1,9,2,11,1,9,4,11,2,9,1,10,1,11,1,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,1,9,1,11,1,9,2,11,3,16,6,11,1,16,8,17,1,16,1,11,2,10,1,9,1,11,1,9,8,11,1,9,3,11,1,9,1,10,1,11,1,9,3,16,1,8,1,17,1,10,1,16,1,9,1,11,2,9,2,11,1,9,1,16,1,9,1,10,1,16,1,9,1,11,2,16,1,9,1,10,1,16,4,9,1,16,3,9,1,16,2,11,2,16,3,11,3,9,1,16,1,9,1,16,1,11,1,9,1,16,2,9,1,11,2,16,1,11,1,9,5,11,1,9,1,10,1,11,2,9,1,16,1,11,4,17,10,9,1,11,1,13,1,9,3,8,1,10,1,8,1,28,1,7,1,30,2,13,1,9,1,13,1,8,1,13,2,7,1,6,2,9,5,8,2,9,5,8,1,9,3,8,1,9,3,8,3,9,1,8,1,9,3,8,1,9,3,8,1,9,2,11,1,9,6,10,1,13,1,16,1,11,1,17,1,16,1,9,1,17,4,16,1,17,1,16,2,17,1,16,1,17,6,16,1,17,8,16,1,17,22,16,1,17,12,16,1,17,3,16,1,17,15,16,2,17,1,11,2,16,1,11,1,16,1,9,1,13,1,6,2,13,3,9,1,8,1,13,2,9,1,13,1,8,1,13,2,9,1,13,1,8,2,9,1,13,1,9,2,13,2,11,1,13,1,9,3,8,1,9,1,13,5,6,1,9,1,13,1,8,2,13,1,8,1,13,1,8,3,11,1,9,2,13,2,8,1,13,3,9,4,8,1,13,3,9,2,8,1,13,4,8,1,9,1,13,1,7,1,13,1,8,1,13,2,9,2,6,1,13,2,6,1,13,4,8,2,13,2,8,1,13,1,8,1,6,1,13,2,9,1,13,1,8,1,13,1,11,1,13,1,9,3,13,1,8,1,10,1,13,1,6,1,13,1,6,1,8,1,13,3,6,1,13,3,8,1,13,1,8,1,13,1,8,1,9,1,8,2,13,1,8,1,13,9,9,1,13,1,16,1,13,1,6,1,13,1,8,1,7,1,13,5,6,2,13,2,6,1,9,1,13,5,8,2,13,6,8,1,13,1,9,1,13,1,8,1,13,3,8,2,9,1,11,2,9,2,17,2,11,1,9,4,8,1,9,5,13,1,8,2,9,1,8,3,13,1,8,1,13,2,8,1,9,2,11,1,9,1,8,1,9,1,13,2,8,4,13,1,9,1,13,4,8,1,13,4,9,1,13,4,7,1,8,1,13,1,8,1,13,1,9,1,8,1,6,1,13,2,8,1,13,1,8,1,13,1,8,1,13,2,8,5,13,2,8,2,13,5,6,1,13,1,9,1,13,3,7,1,8,1,13,1,8,1,13,4,9,1,13,1,9,2,13,2,9,2,13,2,9,2,13,1,8,3,9,1,13,1,9,1,8,2,13,1,9,1,13,2,9,2,8,1,9,2,8,1,13,2,8,3,9,2,13,1,9,1,13,1,9,1,8,4,13,1,9,1,13,2,9,1,13,3,8,1,13,6,8,1,13,3,9,2,13,2,8,1,13,2,8,3,13,1,9,1,13,2,8,1,9,1,16,2,9,2,11,1,9,3,13,1,9,1,7,1,9,2,13,2,11,1,8,3,13,1,9,1,13,1,8,1,9,2,8,1,13,1,8,1,7,1,13,2,9,2,8,1,9,1,13,9,8,1,9,1,13,4,8,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,3,9,2,8,1,9,4,8,1,9,1,11,1,10,1,9,4,11,2,9,1,6,1,16,1,12,1,10,1,16,1,9,1,10,2,9,1,8,2,24,1,9,2,8,1,13,1,9,1,13,1,8,1,13,1,8,4,24,4,13,1,8,1,13,1,7,1,10,1,8,1,24,1,7,1,8,2,13,1,8,2,7,1,24,1,8,2,24,4,13,1,8,1,13,1,9,1,8,1,9,2,10,1,9,1,8,9,13,2,24,1,13,2,8,1,13,1,8,1,13,1,29,1,13,1,6,1,13,1,28,4,30,1,13,1,8,1,9,1,10,1,12,1,17,18,16,1,17,2,16,1,17,18,10,1,11,1,17,2,11,3,17,2,11,2,12,1,11,1,10,2,11,1,12,1,11,1,10,1,12,1,9,1,11,1,10,1,11,1,12,1,11,1,12,1,11,2,9,1,11,1,9,1,17,2,9,1,17,1,11,9,10,1,11,1,12,1,11,1,17,1,11,1,17,1,10,2,11,2,9,2,10,1,9,2,11,1,9,1,11,1,10,2,9,1,10,5,12,1,9,4,8,1,9,2,10,1,9,1,8,1,9,2,8,1,24,1,11,1,10,1,24,2,8,4,13,1,9,3,8,1,9,1,8,2,9,3,24,3,8,1,9,2,8,1,11,1,17,1,11,1,17,6,13,1,8,1,13,1,6,2,30,2,28,1,6,1,13,1,6,1,13,3,6,1,13,1,8,2,13,2,9,1,13,1,8,2,9,6,8,1,9,1,11,1,9,1,17,1,9,1,8,1,11,1,13,2,6,1,13,1,6,1,30,1,6,1,28,2,30,1,13,1,8,2,13,4,8,1,13,1,8,2,13,1,9,1,8,2,13,4,8,1,13,1,9,3,13,1,9,2,13,3,9,1,8,1,9,1,8,1,9,1,13,1,9,3,11,2,16,2,9,2,10,1,9,2,11,1,9,1,11,1,8,1,11,2,9,1,11,1,16,1,9,1,11,2,9,1,11,1,9,1,11,6,16,2,11,1,16,1,11,3,17,1,11,1,9,2,11,1,16,1,11,1,9,1,11,7,17,1,16,2,11,1,16,2,11,1,9,1,10,1,9,2,8,1,11,1,16,1,10,1,16,1,9,1,16,1,11,2,9,1,10,1,11,1,9,1,11,2,9,2,13,1,11,1,9,2,16,1,11,2,16,1,10,1,16,2,9,1,16,1,9,1,11,3,10,1,11,2,17,1,16,1,17,2,16,2,11,1,17,1,16,3,11,2,16,1,9,2,11,3,16,5,17,5,16,4,11,1,16,1,9,3,11,3,9,1,11,4,16,4,17,1,11,1,16,1,11,3,9,4,11,2,9,2,13,2,30,1,9,5,8,1,9,1,13,2,9,1,6,1,13,3,9,1,11,2,9,1,11,1,9,4,13,1,9,1,8,1,11,1,9,2,8,1,9,2,8,1,9,4,13,1,9,1,11,1,9,2,11,1,16,1,17,1,16,19,11,2,10,1,16,5,11,1,16,2,11,2,16,2,11,1,16,1,11,1,16,1,9,1,16,3,11,1,16,2,11,1,16,1,11,2,9,3,11,1,16,1,11,3,9,3,11,2,9,1,11,1,9,2,10,1,11,1,9,2,11,2,16,2,9,1,11,3,9,1,16,4,17,4,16,4,9,3,16,1,5,78,33,1,9,1,28,3,29,1,28,1,30,1,28,1,30,2,28,6,13,1,17,1,9,1,8,1,10,1,24,2,8,1,13,1,8,1,7,1,8,1,7,1,13,1,7,1,8,1,6,1,8,1,9,1,17,9,16,1,9,1,5,46,33,1,28,3,6,1,10,1,9,2,17,12,16,1,9,1,17,1,9,1,11,1,15,1,24,1,15,1,11,1,12,1,17,4,16,1,8,1,24,1,8,1,9,1,12,1,16,1,17,1,12,1,17,1,9,1,10,2,9,1,24,2,8,1,12,1,10,2,24,1,9,1,8,1,9,1,24,2,8,2,13,1,8,1,9,1,13,5,6,1,9,1,15,1,17,5,11,1,17,3,16,1,17,1,8,1,24,1,13,1,8,1,13,1,9,1,24,1,9,3,13,1,6,1,28,1,29,1,9,1,24,1,8,1,6,1,24,1,15,1,12,1,8,1,}, {7,2,6,1,13,1,8,1,24,2,11,1,14,1,8,1,7,1,6,1,29,1,6,2,7,2,8,2,11,2,9,1,10,1,9,1,10,1,9,1,12,2,9,1,24,1,8,1,29,1,6,4,13,1,8,1,24,1,6,3,30,1,7,1,13,1,7,1,8,1,6,1,8,1,7,1,6,1,13,2,29,1,30,2,11,1,8,1,11,1,17,1,9,1,8,1,10,1,9,1,15,2,17,1,12,1,17,5,16,1,12,1,9,4,13,1,24,1,9,2,24,1,13,2,24,1,13,1,8,3,13,1,7,1,10,1,17,1,15,1,24,1,13,2,9,2,17,4,9,2,24,1,9,1,17,1,12,1,17,10,8,1,10,1,15,1,14,1,15,1,17,1,11,1,10,1,14,1,15,2,12,1,24,1,17,1,10,1,12,1,15,1,12,1,17,2,10,1,12,1,11,1,17,9,10,1,16,2,17,2,16,1,17,27,16,1,9,2,13,1,6,1,28,26,30,1,29,1,28,1,30,1,29,1,30,1,6,2,29,1,14,1,15,1,24,1,28,2,29,1,13,2,9,1,16,1,11,1,16,1,8,1,24,1,9,1,13,1,8,2,24,1,6,1,8,1,9,1,24,1,8,1,6,1,7,1,13,1,24,1,13,1,8,1,24,1,10,1,12,1,24,1,12,2,17,2,12,1,8,1,30,1,28,13,13,1,16,5,17,1,16,1,17,1,16,2,17,1,16,1,17,2,16,7,17,2,16,3,17,7,16,8,11,3,9,4,8,1,9,1,13,2,9,2,8,1,9,2,13,1,11,1,9,1,11,1,16,1,9,1,16,1,11,2,9,3,13,3,9,1,13,2,9,1,13,1,11,1,9,3,11,3,9,3,13,1,9,2,13,1,9,4,11,1,9,1,11,4,9,1,16,3,9,1,16,1,17,1,16,6,11,4,13,1,9,1,13,1,9,2,8,1,9,1,11,1,9,1,13,3,9,3,16,2,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,1,11,1,13,1,11,1,13,1,9,1,13,1,9,1,13,5,9,2,11,1,16,1,11,1,16,2,9,1,11,1,9,4,11,1,9,1,11,1,9,3,8,1,9,1,13,5,6,1,13,1,9,2,11,2,13,5,16,1,11,1,16,3,11,2,16,3,17,1,16,5,11,1,16,1,9,1,11,1,9,4,11,2,13,1,11,1,16,5,17,1,16,1,17,1,16,1,17,2,16,3,11,2,9,1,11,1,9,7,13,1,16,1,9,5,11,2,13,1,9,1,11,1,9,6,13,2,9,3,13,1,8,1,11,1,9,4,11,2,9,8,16,4,17,7,8,1,6,1,29,2,28,2,30,1,28,1,6,1,30,1,28,1,6,1,7,1,30,4,6,1,13,1,17,1,11,1,17,2,10,1,11,1,10,1,9,2,10,1,9,1,10,1,11,1,8,4,24,2,8,1,13,3,9,1,8,1,9,3,17,1,8,1,9,1,11,1,8,1,10,1,9,1,17,1,9,4,8,1,9,2,11,1,17,4,16,4,17,2,16,2,17,1,16,9,11,1,16,1,17,1,16,3,11,1,17,1,11,1,16,4,17,1,11,1,16,4,11,6,9,2,16,2,11,2,16,1,11,1,16,2,9,1,11,1,9,1,16,1,10,1,16,2,11,1,17,2,16,1,9,1,16,1,11,1,9,1,11,1,9,4,10,1,11,1,9,8,16,1,10,1,9,2,13,1,11,3,9,1,16,3,11,2,16,3,11,1,16,4,11,1,16,1,17,1,16,10,11,1,17,1,16,1,11,2,16,1,17,1,9,2,11,1,9,3,11,1,8,1,16,1,9,1,11,1,10,1,9,2,11,1,9,1,11,1,8,1,11,1,9,1,17,1,9,1,11,1,9,1,17,1,11,1,16,1,9,1,16,1,11,2,9,1,16,2,8,1,11,1,8,1,11,1,9,1,11,1,16,1,11,1,16,1,9,2,16,1,11,3,16,3,11,1,16,5,17,1,9,1,16,2,9,1,11,1,16,1,9,1,11,1,17,1,11,1,16,2,9,1,16,1,11,1,9,2,8,1,11,1,9,1,10,1,9,3,10,1,9,2,11,2,9,1,16,1,17,1,16,1,17,8,16,1,13,1,9,1,11,1,8,1,11,1,8,1,17,1,9,1,30,1,28,1,13,2,8,2,13,2,6,1,13,1,8,1,6,2,9,1,8,1,9,1,11,1,9,8,8,1,9,4,8,1,9,2,8,3,9,1,8,1,9,1,8,1,9,1,11,1,9,2,13,1,9,3,8,1,9,3,16,1,9,3,13,1,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,6,16,1,17,2,16,1,17,2,16,1,17,25,16,1,17,11,16,1,17,3,16,1,17,5,16,1,17,8,16,1,17,2,16,1,17,6,16,3,11,2,16,1,9,1,13,4,8,2,13,1,8,2,13,3,9,2,13,2,9,1,8,2,13,1,9,2,13,1,9,1,16,1,9,1,10,1,9,1,8,2,7,1,13,4,9,1,13,1,8,1,13,3,9,1,13,1,9,5,13,1,9,1,8,1,9,3,8,2,9,1,13,1,8,1,13,6,9,2,7,1,6,1,13,2,8,2,13,4,9,2,8,1,6,1,13,4,8,3,9,2,13,1,9,1,8,1,13,4,8,1,9,1,13,1,8,1,9,3,8,2,9,2,13,1,8,1,13,7,6,1,13,2,8,1,13,4,8,1,13,13,9,2,16,1,11,1,9,1,8,1,13,1,8,2,13,1,8,1,13,1,6,1,13,1,7,2,13,2,8,1,13,1,6,1,13,1,7,1,8,1,13,1,8,1,13,2,7,1,13,1,6,1,8,1,13,1,8,1,13,5,8,1,13,2,9,3,8,1,11,2,16,1,17,1,16,1,11,1,16,1,9,2,8,1,9,1,13,2,9,1,13,2,8,1,9,3,8,1,9,1,13,4,10,1,8,1,9,2,8,1,13,1,8,1,13,1,8,1,13,2,9,1,13,1,8,2,13,1,9,1,13,1,9,1,8,2,13,2,8,3,9,1,13,2,9,1,8,3,9,1,13,1,8,2,9,2,13,3,8,1,13,2,9,1,13,2,8,2,13,3,9,1,13,5,8,1,9,2,13,1,8,1,9,2,8,1,9,1,8,2,9,2,13,1,8,2,7,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,8,1,9,2,13,1,9,5,8,1,9,1,13,3,9,3,11,1,13,1,8,1,9,2,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,2,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,9,2,13,3,9,1,6,1,13,3,6,1,8,1,29,1,8,1,13,4,8,1,13,2,8,1,9,1,13,1,8,1,13,1,8,1,9,1,16,1,11,2,9,1,16,1,9,2,16,1,9,1,13,1,9,1,13,1,8,3,9,1,8,1,9,1,8,5,13,3,8,1,6,1,13,2,7,1,13,5,8,1,9,2,13,1,6,1,8,2,13,5,8,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,2,9,1,13,3,8,1,13,1,8,3,11,1,13,1,8,2,9,2,8,1,9,2,10,1,11,4,13,1,10,1,17,1,9,1,11,2,9,4,8,1,9,1,13,1,9,1,13,1,9,1,13,1,8,2,10,1,13,1,8,1,9,1,13,1,9,1,6,1,13,1,7,1,8,1,24,1,7,1,13,1,24,1,8,1,24,1,9,1,13,1,24,1,6,1,24,1,13,2,7,1,9,1,8,1,9,1,13,1,9,1,8,1,24,3,8,1,9,1,8,2,10,1,24,1,9,1,13,1,8,2,24,2,8,1,24,1,8,1,24,2,8,1,24,1,7,1,6,1,8,2,6,1,8,1,24,1,6,1,13,1,29,1,28,2,30,1,28,2,13,2,12,1,8,1,12,2,17,35,10,1,17,1,11,3,12,1,10,1,11,1,12,1,11,1,17,1,10,1,17,2,11,3,10,1,12,2,17,1,12,1,11,3,12,1,9,1,11,3,12,1,16,1,10,1,16,1,11,2,17,1,11,1,12,1,9,1,17,1,11,1,12,1,17,1,11,1,17,1,11,1,12,1,11,1,10,1,11,2,17,3,11,1,12,1,9,2,10,1,11,2,9,3,8,1,9,5,11,1,9,4,10,1,8,1,9,1,10,4,9,4,8,1,13,1,9,1,8,1,9,1,10,1,8,1,10,1,8,1,10,1,9,2,24,1,9,1,8,1,12,1,8,1,13,1,12,1,8,1,9,3,8,1,9,2,8,1,24,1,10,1,24,2,11,1,17,8,12,1,10,1,9,1,8,1,6,1,13,2,11,1,9,2,13,6,8,2,13,7,8,1,13,1,8,1,13,1,9,1,11,1,17,1,11,1,12,1,17,1,11,1,17,3,11,1,13,1,9,1,13,3,7,1,28,1,30,1,28,1,13,1,8,1,13,1,9,1,8,1,13,3,9,1,13,1,9,1,8,1,9,1,8,1,9,2,13,1,6,1,8,1,9,1,16,2,9,1,8,3,7,1,13,2,6,1,13,2,9,1,13,1,9,1,13,1,11,1,16,1,10,1,11,1,9,2,11,1,9,1,11,1,9,1,10,1,9,5,13,1,9,3,11,1,9,1,11,1,9,4,11,1,9,1,11,1,10,1,9,3,11,5,16,1,11,3,9,3,11,1,9,2,11,1,16,1,9,1,16,1,17,1,16,1,11,1,9,1,16,2,11,2,9,4,11,1,9,1,11,2,16,1,11,1,9,1,11,1,10,2,9,5,11,3,10,1,11,1,9,1,11,1,16,1,11,2,16,1,10,1,16,1,11,1,16,2,9,1,11,3,16,1,17,1,16,1,17,1,16,2,17,1,11,1,17,3,16,2,11,1,16,1,11,1,9,2,11,2,17,7,16,1,17,2,16,1,17,1,16,1,11,3,9,1,10,1,11,1,9,1,11,2,16,1,11,1,9,1,11,1,17,1,11,1,17,4,11,4,9,2,11,1,9,2,11,1,13,2,8,4,13,1,8,1,9,1,13,1,8,1,9,7,29,1,8,2,13,1,11,1,16,1,9,8,8,1,11,1,13,1,9,2,13,1,9,1,13,1,8,1,13,2,9,2,13,1,9,1,8,1,13,1,11,2,10,1,11,1,9,1,11,2,16,2,11,1,16,3,11,1,16,1,11,1,16,1,10,1,16,4,17,2,11,1,16,7,17,1,16,6,17,1,16,4,11,2,16,1,11,1,9,1,11,1,8,1,9,2,11,1,9,1,11,2,9,1,11,3,9,6,10,1,9,1,11,1,9,1,11,1,9,1,11,4,9,1,11,2,9,1,11,2,10,1,16,1,17,1,16,3,17,2,16,4,17,7,16,1,5,73,13,1,28,2,6,1,28,1,30,3,28,1,29,1,28,1,6,1,28,4,13,1,17,1,24,1,17,1,8,1,12,1,8,1,13,1,6,1,13,1,8,1,13,1,6,6,8,1,17,11,16,1,5,45,13,1,28,4,9,1,11,1,9,1,17,13,9,1,8,1,9,1,24,1,15,1,10,1,9,1,10,1,11,1,17,5,9,1,11,2,9,2,12,1,17,2,9,3,24,1,17,1,10,1,12,1,24,1,8,2,15,1,10,1,24,1,8,1,13,1,24,1,8,2,24,1,8,1,13,1,24,1,7,1,17,1,15,1,9,2,6,1,12,1,9,1,17,4,16,1,17,5,12,1,10,1,9,1,29,1,13,1,8,1,11,1,8,1,12,1,11,1,8,1,6,1,7,1,30,1,6,1,9,1,10,1,13,2,7,1,17,1,9,2,}, {6,1,28,1,29,1,30,1,13,1,8,3,15,1,9,1,13,1,6,1,30,2,6,1,29,1,6,2,8,1,17,1,12,1,8,1,11,1,9,2,8,1,9,1,16,1,9,1,24,1,8,1,7,1,30,1,29,1,30,1,8,1,6,1,8,1,7,1,13,3,6,1,7,1,6,1,7,1,6,1,8,1,6,1,8,1,6,4,29,1,13,1,9,1,10,2,9,3,16,1,24,1,9,1,17,1,10,1,12,1,16,1,17,5,10,1,9,1,24,1,12,1,11,1,24,1,8,1,10,1,15,2,13,1,24,1,9,1,13,1,24,1,8,1,13,3,9,1,14,1,17,1,9,1,8,1,9,2,11,1,17,4,11,1,8,1,12,2,10,1,12,1,17,4,16,1,17,5,9,1,16,1,11,1,14,2,10,1,14,1,9,1,17,1,9,1,14,1,11,1,9,1,10,2,15,2,17,1,9,1,16,1,12,1,17,1,16,1,17,9,9,1,16,3,17,28,16,3,8,1,13,1,28,31,30,1,7,1,6,1,13,1,24,1,15,1,14,1,9,1,28,1,29,1,13,2,9,1,11,1,17,1,11,2,15,1,12,1,9,2,8,1,13,1,8,1,6,1,13,1,8,2,13,1,29,1,7,2,8,1,9,1,24,2,10,1,15,1,24,1,9,1,12,1,17,3,9,1,28,14,7,1,16,6,17,2,16,1,17,2,16,1,17,3,16,2,17,7,16,1,17,1,16,1,17,3,16,1,17,1,16,6,11,2,16,1,9,1,11,1,9,2,11,1,9,5,13,4,9,4,16,1,11,9,13,1,8,1,13,2,9,2,8,1,9,3,11,1,8,1,9,1,11,2,13,1,9,9,11,7,9,1,16,2,11,1,16,9,9,1,11,1,9,2,13,1,9,1,13,1,9,4,11,1,13,3,9,1,13,1,16,1,11,1,16,2,17,1,16,2,17,1,16,4,9,1,13,1,9,1,13,2,9,3,6,1,13,2,11,1,9,2,11,3,16,2,11,2,16,1,11,1,9,7,11,1,8,1,9,2,13,7,9,2,16,1,9,1,13,4,16,1,11,1,16,3,11,1,16,1,11,1,16,3,17,1,16,5,11,1,16,1,11,3,9,2,11,1,9,1,11,2,9,1,16,3,17,2,16,1,17,5,16,4,11,2,9,3,13,1,9,4,13,1,11,1,9,5,13,1,9,2,13,1,11,1,9,5,11,1,9,1,13,1,9,4,11,4,9,4,13,1,9,4,8,1,9,2,16,6,17,6,16,1,9,1,6,1,28,1,29,1,28,1,30,2,28,1,30,4,28,1,6,1,29,1,30,1,7,1,10,1,17,3,11,4,16,1,11,1,9,2,8,2,9,1,13,1,9,1,8,1,6,1,8,1,7,1,8,2,13,1,8,1,24,1,9,2,10,1,17,2,12,1,9,2,11,1,10,1,9,5,8,1,13,1,8,1,11,1,17,4,16,5,17,2,16,4,17,1,16,1,17,2,16,1,11,1,16,1,11,1,17,1,11,1,16,1,11,2,16,2,11,2,16,1,11,1,16,2,11,2,16,1,11,1,16,2,11,1,16,1,11,8,9,1,16,1,11,4,16,1,9,1,16,1,11,2,10,1,11,1,17,1,11,6,9,1,16,1,9,6,8,1,11,2,9,1,11,5,9,2,11,3,16,4,11,5,9,1,16,1,11,1,17,1,16,2,17,1,16,1,17,1,16,2,17,1,16,2,17,1,16,6,11,1,16,1,9,2,11,1,9,1,11,1,9,2,13,1,11,1,9,1,10,1,16,1,8,1,11,3,9,3,11,1,9,1,11,1,9,2,10,1,11,1,16,1,10,1,16,2,9,6,16,1,10,1,9,1,11,2,9,1,11,2,16,1,11,2,10,1,16,1,9,1,16,3,11,1,16,2,17,1,16,3,17,1,16,1,11,4,16,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,11,2,9,1,11,1,10,1,11,3,9,4,11,1,16,1,9,2,11,1,16,2,17,2,16,2,17,7,8,1,9,1,11,1,8,1,11,1,9,1,17,1,13,1,28,2,9,1,13,1,6,1,8,1,6,1,13,1,8,1,13,2,6,1,7,1,13,2,9,4,10,1,9,2,8,1,9,4,8,1,9,1,8,1,9,4,8,2,10,1,9,5,8,1,9,5,11,1,9,4,10,1,9,1,6,1,9,1,17,2,16,1,11,1,17,17,16,1,17,6,16,1,17,45,16,1,17,7,16,1,17,10,16,2,11,1,16,2,11,1,9,1,13,2,9,1,11,1,9,1,8,2,13,1,9,1,8,1,13,1,8,2,9,4,8,1,13,1,9,3,11,1,10,1,11,1,9,2,13,2,8,1,13,3,8,2,13,6,11,1,9,7,8,2,9,1,8,1,9,1,8,3,13,5,9,2,13,1,9,1,13,1,9,3,8,3,13,1,9,1,8,1,13,3,6,2,13,4,9,2,13,1,9,1,13,2,9,1,6,1,13,2,8,1,13,1,7,1,9,2,10,1,8,1,13,2,8,1,9,1,13,1,9,3,13,1,8,1,13,2,8,1,13,2,9,1,13,2,9,1,13,3,8,1,13,6,7,1,13,1,8,1,13,1,7,1,13,2,8,1,16,1,9,1,13,2,9,1,13,6,6,2,13,2,8,1,13,5,8,1,6,1,13,2,7,1,13,1,8,1,13,5,6,1,13,6,8,1,9,2,10,1,16,1,11,1,17,2,16,1,11,2,8,1,9,1,8,3,9,1,8,1,13,1,8,1,9,1,8,1,9,1,13,3,9,1,8,1,11,1,8,1,16,1,9,4,8,1,9,1,13,1,9,1,13,1,9,1,13,1,9,2,13,2,9,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,13,2,8,1,13,3,8,1,13,2,9,1,13,1,6,1,13,2,9,1,8,1,13,2,8,1,13,4,8,1,13,1,8,1,13,2,8,1,13,1,9,2,13,1,8,1,13,1,8,1,13,1,9,1,13,2,9,5,8,1,9,2,13,1,9,2,8,2,9,1,8,6,13,1,9,3,8,1,9,1,13,1,9,1,13,2,8,1,13,2,8,2,11,2,10,1,9,1,11,1,13,1,11,1,9,1,8,2,9,2,13,1,8,1,13,1,9,2,13,2,9,1,6,1,13,2,9,1,8,2,9,1,13,2,8,1,13,1,8,2,9,1,13,2,9,1,13,1,8,1,6,1,8,1,9,1,13,5,8,2,13,1,9,1,13,2,11,1,16,2,13,1,9,1,11,1,9,3,13,4,9,1,13,3,11,1,13,1,9,2,13,2,9,1,13,3,9,1,13,1,6,1,13,1,8,1,7,1,13,1,6,1,13,5,7,1,13,5,6,1,8,1,6,1,13,1,8,2,13,1,6,1,13,5,6,1,13,1,8,2,13,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,2,9,1,8,1,9,3,11,1,9,1,8,1,9,1,17,2,10,1,9,2,11,1,9,4,24,1,9,1,13,1,24,1,8,1,13,1,7,1,24,1,9,1,24,1,13,1,8,1,13,1,8,4,24,1,13,1,24,1,13,1,24,1,13,2,24,1,13,1,8,2,13,1,8,1,24,3,13,1,24,1,8,1,24,1,8,2,24,1,8,5,11,1,8,1,9,2,8,2,13,1,8,2,9,1,7,1,8,2,9,1,7,1,8,1,7,1,6,1,8,2,13,1,7,1,13,1,7,1,28,4,30,2,6,1,13,1,24,1,10,1,24,1,10,1,17,15,16,1,17,13,16,1,17,2,11,2,17,1,9,1,10,1,17,1,12,1,11,3,17,4,12,1,17,1,11,2,17,1,11,1,9,1,12,1,10,1,11,2,10,1,9,1,11,3,17,1,11,1,17,1,12,1,11,1,10,1,17,1,11,2,17,2,12,1,17,1,12,1,11,3,10,2,11,1,10,1,9,1,10,1,9,1,10,1,17,1,11,2,12,1,9,1,10,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,9,5,10,1,9,1,10,1,9,3,10,1,11,1,9,1,10,1,9,1,8,1,13,1,11,1,8,1,13,2,8,2,9,2,8,5,9,2,13,1,8,2,13,1,24,1,8,1,9,2,8,1,9,1,13,1,11,1,24,1,9,4,24,1,9,1,11,1,9,1,10,1,9,3,11,1,9,2,11,1,9,5,10,2,9,2,11,1,12,1,11,1,9,5,10,1,9,2,11,1,9,3,11,1,9,2,8,1,11,1,8,1,11,1,9,1,10,1,9,1,11,1,9,1,17,7,12,1,9,1,8,1,9,1,6,2,28,1,30,1,28,1,30,1,6,2,8,1,9,1,13,1,8,1,9,2,13,3,9,2,13,2,9,1,17,2,16,1,11,1,9,1,13,4,6,1,13,1,8,1,13,1,9,3,8,1,9,1,16,1,9,5,11,1,9,2,10,1,9,2,11,1,9,2,11,3,9,3,11,2,10,1,9,6,8,1,9,1,8,1,9,2,16,1,11,1,10,1,9,2,11,1,9,2,11,1,9,1,17,1,16,3,9,1,11,1,17,1,11,1,16,1,11,1,9,3,16,1,9,5,16,1,9,1,11,1,9,6,8,1,9,1,11,3,9,2,11,1,16,1,9,1,11,4,16,1,11,1,16,2,11,3,16,3,11,1,16,6,17,1,16,1,17,1,11,1,16,4,10,1,9,2,16,1,10,1,17,1,16,1,17,1,16,2,17,4,16,1,17,1,16,3,11,1,16,1,10,1,9,1,11,2,16,1,9,1,11,1,16,1,11,1,10,1,9,2,8,1,11,2,13,1,10,1,9,1,10,1,12,1,11,2,17,1,12,1,11,1,17,1,12,1,11,1,12,1,11,6,10,1,9,1,8,1,9,1,6,1,8,1,9,1,13,3,6,1,13,1,6,1,13,2,9,1,8,1,11,1,10,1,11,2,8,1,9,1,10,1,9,1,11,1,9,1,16,1,9,1,8,3,9,1,13,1,9,1,13,5,11,1,9,2,13,1,8,1,9,2,13,2,8,1,13,2,9,4,10,1,9,1,11,1,16,4,9,1,16,2,17,1,16,4,17,1,16,7,11,1,16,1,11,1,16,7,11,9,9,1,11,1,10,1,9,16,11,2,16,2,11,2,16,1,10,1,8,1,9,2,11,1,10,1,11,1,9,1,11,1,10,1,16,4,17,1,16,2,17,3,16,3,5,69,9,1,30,1,28,8,30,1,28,6,13,1,17,1,9,1,10,1,8,1,24,1,9,1,24,1,8,2,13,2,6,1,13,1,28,1,13,1,6,1,7,1,13,1,9,1,10,1,12,1,16,1,17,8,9,1,5,44,28,4,29,1,9,1,10,1,9,1,17,6,12,1,11,1,17,3,12,1,17,1,9,1,24,1,15,1,9,1,8,1,9,1,24,1,9,1,16,1,12,1,17,4,24,1,9,2,12,1,17,4,9,2,8,3,9,1,10,1,17,1,24,1,15,2,24,1,9,1,24,1,8,1,13,1,10,1,7,1,10,1,7,1,6,1,13,2,9,1,13,2,7,1,8,1,9,1,16,2,17,1,16,1,17,1,16,2,17,4,11,1,12,1,8,1,13,1,24,1,8,1,12,1,10,2,9,1,6,1,13,1,6,3,8,1,24,1,13,2,8,1,12,2,9,1,}, {7,1,6,2,13,1,8,4,12,1,9,1,13,1,30,1,7,1,29,1,28,1,6,3,9,1,11,1,9,1,10,3,8,1,13,1,9,1,12,1,17,1,9,2,7,1,6,1,7,1,8,1,6,1,13,2,8,1,13,1,6,2,29,1,13,1,24,1,13,2,8,1,6,1,8,1,6,1,7,1,30,1,29,2,24,1,10,1,24,1,9,3,24,1,9,1,12,1,15,1,9,1,17,9,9,1,10,1,11,1,8,1,13,1,24,2,15,1,12,1,8,1,24,1,12,1,8,1,9,1,24,1,8,1,13,1,8,1,15,1,17,1,14,1,11,1,8,1,9,2,17,4,16,1,17,1,11,1,9,2,17,4,16,1,17,1,16,1,17,5,11,1,16,1,11,1,14,1,15,2,14,1,12,1,14,1,24,1,10,2,14,1,15,1,9,1,17,1,12,3,10,1,17,13,12,1,17,1,16,1,17,28,14,1,16,1,9,1,6,1,7,1,29,1,28,1,30,1,28,24,29,1,28,2,6,1,30,1,6,1,13,1,8,2,15,1,12,1,9,1,28,1,30,1,8,2,10,1,16,1,17,1,10,1,17,2,10,2,24,1,8,1,10,1,8,1,9,1,8,1,13,3,30,1,13,1,7,1,6,1,13,1,8,1,24,1,8,1,12,1,10,1,9,1,17,4,9,1,28,14,8,1,9,1,16,2,17,3,16,1,17,16,16,1,17,2,16,1,17,3,16,7,9,5,11,1,9,2,8,1,13,1,9,3,13,1,9,5,13,1,9,1,11,1,16,2,11,2,17,1,16,2,9,2,11,1,13,1,9,3,11,1,9,2,11,3,9,2,11,2,9,6,13,1,9,1,13,1,9,2,11,2,16,1,9,1,16,1,11,2,16,12,9,1,11,3,9,1,13,1,9,2,13,1,9,1,13,1,9,1,13,3,9,2,16,3,17,1,16,2,17,1,16,1,17,1,16,1,11,1,16,1,13,2,9,1,13,2,9,1,13,5,9,2,11,4,16,1,11,1,16,1,11,1,16,1,9,3,11,1,9,1,16,1,9,3,13,9,9,2,11,1,16,2,9,1,13,1,9,2,11,1,16,9,17,3,16,1,11,1,16,1,11,1,16,1,11,2,9,1,11,2,9,3,11,4,16,2,17,1,16,1,17,2,16,2,17,2,16,4,11,1,9,1,11,1,9,3,11,1,9,5,16,1,9,1,11,2,9,4,11,1,9,1,11,1,9,4,13,1,9,1,13,1,9,14,11,1,9,1,13,1,9,1,11,1,9,1,11,2,16,6,17,6,16,1,13,1,29,3,28,3,29,2,28,1,29,3,6,1,13,1,8,1,12,2,11,1,17,2,9,1,17,2,11,1,12,1,16,1,9,3,8,1,13,2,6,1,8,1,7,1,13,1,6,1,29,1,13,1,8,1,13,2,9,3,8,1,9,2,8,1,9,1,11,2,9,1,13,1,11,2,10,1,9,1,11,1,9,1,17,5,16,3,17,1,16,1,17,1,16,2,17,1,16,2,17,1,16,1,17,1,11,1,17,1,16,1,11,1,16,5,11,1,16,4,11,1,16,7,11,2,16,1,11,3,16,1,11,1,16,1,11,1,16,2,9,1,11,5,16,1,9,1,16,2,11,1,9,1,16,2,11,3,9,1,11,1,9,2,11,1,16,1,9,2,10,1,9,2,11,1,16,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,5,16,4,11,1,16,5,11,1,17,1,11,2,17,1,11,1,17,2,16,1,17,4,16,5,11,3,16,1,9,1,11,1,10,1,11,1,9,4,11,1,10,1,9,3,11,5,9,2,11,1,16,1,9,1,11,3,16,1,11,3,16,1,9,1,11,1,9,1,11,2,16,1,8,1,11,3,9,1,11,2,10,1,16,1,9,1,16,1,9,1,11,1,16,1,17,1,9,1,17,1,16,3,11,1,16,4,11,1,16,1,11,1,9,1,11,2,17,1,11,2,16,1,11,1,16,1,9,1,16,1,11,2,9,1,10,1,9,2,11,1,10,1,11,1,9,1,11,3,16,1,17,1,16,1,17,2,16,1,17,8,16,1,9,1,13,1,9,1,11,1,12,1,17,1,30,1,6,1,30,1,13,2,6,2,13,2,9,1,8,1,13,1,8,1,6,1,30,1,13,1,9,2,8,1,9,4,8,3,9,1,8,1,9,2,8,1,9,1,8,2,9,1,13,1,8,1,13,1,8,2,9,5,13,1,10,1,9,1,16,2,17,5,9,1,6,1,8,1,9,1,17,2,16,1,17,1,16,1,17,38,16,2,17,2,16,1,17,10,16,1,17,3,16,1,17,32,16,4,13,1,8,1,13,2,9,5,13,1,9,1,8,2,13,1,9,6,11,1,9,2,16,1,9,3,13,1,9,1,13,1,10,1,13,2,8,2,9,1,13,2,9,1,13,2,9,1,8,1,9,3,8,2,9,2,8,1,9,2,8,1,7,1,13,1,8,1,13,4,9,2,8,3,13,1,8,2,13,1,9,1,8,1,9,1,13,1,11,1,8,1,9,1,13,1,8,1,6,1,13,3,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,2,8,1,6,1,13,5,9,3,6,1,8,1,13,2,8,1,13,3,9,1,8,1,6,1,13,3,8,1,13,1,9,1,13,9,8,1,13,1,9,1,13,3,6,1,13,4,9,1,13,4,9,2,13,4,6,1,13,3,9,1,13,4,8,1,13,2,8,1,13,3,8,1,13,4,7,1,13,1,6,1,13,2,8,1,9,2,13,1,10,1,11,3,16,1,17,1,16,2,11,2,9,2,13,1,9,2,13,2,8,1,9,1,8,2,9,1,8,2,9,2,11,3,16,1,9,2,8,1,9,1,8,1,13,1,8,2,13,5,9,1,13,1,9,1,13,1,8,1,13,1,9,2,8,1,9,3,8,1,13,2,9,1,8,1,13,1,9,1,13,2,6,1,13,1,8,1,13,1,8,2,13,1,8,1,13,1,9,1,13,1,8,1,13,1,9,2,13,2,9,1,13,1,9,1,8,1,13,2,9,1,13,3,9,2,8,1,13,3,8,1,13,1,9,2,13,1,9,1,13,1,11,1,9,1,8,1,9,1,13,1,9,2,13,1,11,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,6,1,8,2,6,1,13,3,8,1,11,1,9,3,11,1,9,4,13,1,9,1,8,1,9,1,13,1,8,3,13,1,8,1,13,1,8,1,13,1,9,2,13,1,9,2,8,1,9,2,8,1,13,1,8,1,9,1,13,3,7,1,9,1,13,4,8,1,13,1,9,1,13,1,8,1,13,1,9,3,16,1,11,1,9,2,11,1,9,2,13,1,9,1,13,1,8,2,9,2,8,1,9,1,8,1,11,1,8,1,9,1,13,2,8,1,7,1,13,2,8,1,9,1,13,1,9,1,13,6,7,1,8,1,9,1,8,1,13,1,6,1,13,5,6,1,13,4,8,1,13,2,7,1,13,4,7,1,13,3,9,1,13,1,8,1,13,1,6,1,13,1,9,1,8,2,9,3,8,1,9,1,10,1,16,1,13,1,11,1,13,1,9,1,17,1,10,2,9,2,24,1,9,3,24,1,9,1,8,1,24,1,9,2,24,2,8,2,10,1,8,1,13,1,24,1,8,1,13,1,24,1,13,1,8,1,13,1,24,1,8,1,24,1,13,1,9,1,8,1,13,1,8,1,13,1,8,1,7,1,13,3,8,1,24,1,13,4,8,2,9,2,24,2,12,1,24,1,8,1,13,2,9,1,24,1,8,2,24,3,13,1,8,1,24,1,7,1,13,1,6,1,13,2,8,2,13,1,6,1,30,1,28,6,13,1,24,3,12,1,8,1,12,1,17,2,12,1,17,5,8,1,16,1,17,1,16,1,11,1,16,1,11,1,16,3,17,1,16,1,17,6,16,1,10,1,17,1,11,3,17,1,12,2,11,1,10,1,12,1,17,2,12,1,11,1,17,1,11,2,17,1,11,1,12,1,9,3,12,2,17,1,12,1,11,4,12,1,11,1,9,1,11,1,17,1,10,1,11,1,12,5,17,3,10,1,11,2,10,3,9,1,11,1,9,1,11,1,9,1,17,2,12,1,17,1,11,1,10,1,12,1,9,1,10,1,11,1,12,1,11,1,9,2,10,1,11,1,10,1,24,1,9,1,8,1,9,2,10,1,11,1,9,1,12,3,10,1,9,4,13,1,8,3,13,1,8,1,13,1,9,2,24,1,8,2,9,1,24,2,8,3,9,1,10,1,8,2,10,1,24,1,9,2,24,2,8,1,9,2,10,2,9,7,8,1,9,1,11,1,9,2,11,1,9,2,12,1,11,1,9,1,12,1,9,1,10,1,9,2,8,1,10,1,8,1,10,1,17,1,9,1,10,1,9,1,12,1,9,1,11,1,10,3,9,2,10,1,9,1,12,1,9,1,10,1,9,2,11,1,10,1,9,3,11,3,17,1,12,1,9,2,6,1,13,1,28,2,30,2,28,1,7,1,30,1,6,1,13,1,9,1,8,1,13,2,9,1,13,2,8,1,11,1,17,2,11,1,13,1,9,1,13,3,8,1,13,1,9,1,13,1,9,2,13,1,9,2,11,1,9,6,11,1,9,2,11,2,8,1,11,2,16,1,9,2,10,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,9,2,11,2,9,9,16,1,9,4,11,2,16,1,9,1,16,1,11,1,16,1,17,1,9,7,11,1,9,1,11,1,9,1,11,2,9,1,11,1,9,2,11,6,9,1,11,2,9,2,11,1,9,1,16,1,9,1,16,2,11,2,16,1,11,2,16,2,11,2,17,1,11,1,16,11,11,1,16,1,9,1,11,2,10,1,11,1,16,2,11,1,17,6,16,1,17,2,16,3,11,1,9,2,13,3,9,2,8,1,9,2,17,1,16,1,17,4,11,1,17,1,11,1,17,1,12,1,17,3,11,1,12,1,17,2,11,1,17,1,11,1,17,3,11,1,12,1,11,2,9,1,11,1,10,1,9,1,11,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,6,1,8,1,11,1,16,1,11,2,10,1,11,2,9,3,10,1,9,1,13,1,9,1,13,9,8,1,13,1,9,1,8,1,9,2,13,1,9,2,13,1,9,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,9,1,13,1,9,2,11,1,16,2,11,1,9,1,16,3,17,2,16,9,11,1,16,1,11,1,16,1,11,1,16,5,11,1,16,1,17,1,11,1,17,1,16,2,9,1,17,1,9,2,11,1,9,3,13,1,9,1,10,1,9,1,8,2,9,3,11,1,9,2,11,2,10,1,11,2,9,3,11,1,9,2,16,1,11,4,9,1,16,1,11,3,16,1,11,1,16,5,17,2,16,4,5,63,6,1,13,1,28,7,30,1,28,7,9,1,17,1,24,1,16,1,9,1,11,1,13,3,8,1,13,1,7,1,13,1,7,1,6,1,7,1,29,1,6,1,13,1,8,1,6,1,9,1,17,5,16,1,17,4,11,1,13,2,5,41,28,5,11,1,16,1,11,1,16,1,17,11,16,1,11,2,12,1,11,1,15,1,8,1,12,1,8,1,17,1,12,1,17,4,12,2,17,1,12,1,9,1,17,1,12,1,17,2,24,1,8,1,12,2,24,1,8,1,17,1,24,1,8,1,24,1,8,1,13,1,24,1,13,1,7,1,24,1,13,1,24,1,8,1,13,1,7,1,8,1,9,1,8,1,10,2,8,1,13,1,14,1,17,1,16,1,17,2,16,1,17,1,16,1,14,1,17,2,14,2,24,1,9,1,13,1,9,2,24,1,12,1,11,1,13,1,6,1,28,1,6,1,29,1,9,1,15,1,6,1,13,1,9,2,16,1,10,1,}, {6,1,30,1,7,2,29,1,7,1,13,2,15,1,11,1,24,1,13,1,28,1,29,1,28,1,13,1,6,1,13,1,8,1,9,2,11,1,9,1,8,1,13,1,10,1,8,1,11,1,17,1,13,2,8,1,6,1,29,1,13,1,6,1,13,1,6,1,24,1,6,2,13,1,28,1,6,1,29,1,8,1,6,1,13,2,24,1,8,1,13,1,6,2,8,1,24,2,6,1,15,1,10,1,11,1,12,2,15,1,12,1,15,1,17,8,10,1,12,1,10,1,13,1,12,1,9,1,13,1,24,1,12,1,8,1,24,2,8,2,10,1,8,4,14,2,17,1,10,1,9,1,10,1,9,1,11,1,17,4,10,1,16,1,13,1,8,1,9,1,11,1,17,10,16,1,8,1,11,2,14,1,12,1,9,1,12,1,17,2,12,1,9,2,10,1,24,1,9,2,11,2,17,1,12,1,17,2,12,1,17,39,16,1,9,2,15,1,30,2,29,1,28,1,29,1,30,1,28,26,30,1,6,1,7,1,6,1,13,1,8,1,17,1,14,1,15,1,6,1,7,1,13,3,12,1,11,1,17,2,16,1,10,1,8,1,10,1,8,1,9,2,7,1,13,1,24,1,6,1,8,1,13,4,8,1,24,3,9,2,12,1,11,1,17,3,8,1,28,10,30,1,28,3,13,1,11,1,16,2,17,7,16,2,17,7,16,1,17,1,16,2,17,3,16,1,17,1,16,1,17,1,16,2,11,4,9,1,13,1,9,5,8,1,9,1,8,1,9,3,13,1,9,1,13,2,6,1,13,2,9,1,11,1,16,1,9,2,16,1,11,1,9,1,16,1,11,4,9,2,11,1,9,2,16,1,11,2,9,5,16,1,11,2,9,3,13,1,9,5,11,2,16,1,9,1,11,2,16,2,9,1,16,1,11,1,16,1,9,1,16,4,11,1,16,1,11,1,9,1,11,2,9,1,13,7,9,3,16,8,17,1,16,2,9,1,13,1,9,4,13,5,9,1,13,1,9,1,11,2,16,1,9,1,16,3,9,1,16,1,9,3,11,1,9,3,11,1,16,1,9,2,13,7,9,3,11,3,13,3,9,1,11,2,16,3,17,1,16,1,11,1,17,1,16,10,9,1,11,1,9,2,11,1,16,1,11,3,9,1,16,4,17,2,16,1,17,5,16,2,11,2,16,1,11,1,16,1,9,1,13,1,11,1,9,2,11,1,9,4,16,1,11,2,9,3,13,1,11,1,9,4,13,3,9,1,13,2,9,6,11,1,9,2,16,1,11,1,9,1,11,1,16,1,9,5,11,1,16,7,17,8,9,1,6,1,30,1,7,1,6,1,30,1,6,1,30,2,29,1,30,1,6,1,28,1,9,2,11,1,17,2,12,1,17,1,12,1,17,1,10,1,17,1,10,1,16,1,8,1,9,1,13,1,8,1,13,1,6,2,28,4,29,1,6,1,29,1,6,1,13,1,9,1,10,1,11,1,9,1,13,1,10,1,8,1,9,3,17,1,9,1,11,2,9,1,8,1,9,1,13,1,17,5,16,14,11,1,16,1,11,1,16,1,11,1,17,1,16,4,11,1,16,2,11,1,16,1,9,1,16,5,11,1,16,1,9,1,11,1,16,1,17,1,11,2,9,1,16,1,11,1,16,1,11,1,16,1,17,1,11,2,16,1,10,1,11,1,9,1,16,1,11,2,10,1,16,1,11,3,9,1,8,1,10,2,9,1,11,1,16,1,9,3,11,3,17,1,11,1,10,2,11,1,9,1,16,1,9,1,11,5,16,2,11,1,16,3,11,2,16,1,11,1,16,3,17,3,16,2,17,1,16,1,17,1,16,3,17,2,11,1,16,1,11,2,9,1,16,1,9,4,11,5,9,1,11,2,9,2,11,1,9,1,11,1,9,1,11,1,9,2,16,1,11,1,9,1,16,1,10,1,9,1,17,1,9,1,11,3,8,1,11,2,10,1,9,1,11,1,10,1,9,1,10,1,9,1,11,1,16,2,11,1,9,1,11,2,16,2,17,1,16,1,11,1,16,2,11,1,16,1,17,1,16,4,9,1,11,1,16,2,11,1,17,1,11,2,16,3,11,1,9,1,11,1,16,1,9,2,11,2,9,2,16,1,9,1,11,4,16,1,11,1,17,13,8,2,10,1,16,1,9,1,28,1,6,1,7,1,10,1,6,1,7,1,13,3,8,1,13,5,6,1,11,1,9,6,8,1,9,2,13,1,9,3,8,4,9,1,13,1,9,2,8,3,13,1,9,2,10,2,11,1,17,10,16,1,11,1,17,30,16,1,17,13,16,1,17,2,16,1,17,3,16,2,17,5,16,1,17,38,16,4,13,2,8,1,9,6,8,4,9,1,11,1,9,2,13,1,9,1,16,1,9,1,10,1,9,2,10,1,9,3,13,1,9,1,13,2,8,3,9,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,9,1,8,1,13,3,6,1,13,1,6,1,8,1,9,1,11,1,9,3,11,1,8,1,9,1,13,1,9,1,8,1,13,2,9,3,8,1,13,2,8,1,9,3,13,2,9,1,13,4,9,2,8,1,13,1,8,1,9,1,8,1,13,1,11,1,16,1,9,1,13,1,7,1,13,9,8,1,9,2,13,1,9,1,13,4,9,3,13,5,9,1,13,1,9,1,13,4,9,2,11,1,9,2,13,3,8,1,13,2,8,1,13,3,9,1,7,1,8,1,13,1,9,1,8,1,13,1,9,1,13,3,8,1,13,1,8,2,13,1,8,1,13,6,8,1,9,1,13,2,9,1,8,2,9,1,11,1,16,2,17,2,9,1,16,1,9,3,10,1,9,1,11,2,13,1,9,1,11,1,8,1,11,1,8,1,9,1,8,1,9,5,8,1,11,2,13,1,9,1,8,2,9,1,13,1,9,2,13,2,8,2,13,1,9,2,13,1,10,1,8,1,13,2,8,1,13,2,8,1,9,1,13,1,9,1,13,1,9,1,8,1,13,4,8,1,9,1,8,1,13,2,9,1,13,2,8,1,10,1,13,2,9,1,8,1,13,2,9,1,13,4,9,2,8,2,9,1,8,3,13,1,8,1,13,1,8,3,13,2,8,1,13,1,8,1,9,2,8,2,13,2,9,1,13,1,9,1,8,1,9,3,13,1,9,1,13,3,9,1,8,4,9,1,16,1,9,1,11,1,13,1,9,2,8,1,9,1,13,2,8,1,13,1,16,1,13,1,9,1,8,2,13,1,8,1,13,1,8,1,9,1,8,1,9,2,13,1,9,1,13,2,9,1,6,1,13,1,6,1,9,1,13,2,9,1,13,3,9,1,13,2,8,2,9,2,13,1,11,1,9,1,11,1,17,1,11,1,9,1,16,1,9,1,11,1,13,1,9,3,13,1,6,1,11,1,13,1,8,1,13,1,9,2,13,1,9,1,8,1,13,1,9,1,13,2,9,3,13,2,7,1,13,2,6,1,9,1,8,2,10,1,13,1,6,2,13,4,8,1,13,4,9,1,13,8,8,1,13,2,8,1,9,1,8,1,13,3,8,4,9,5,11,1,10,1,11,1,8,1,11,1,17,1,11,1,10,2,9,2,8,1,24,2,9,1,13,1,24,1,13,1,8,1,24,1,8,3,13,1,8,1,13,4,8,2,12,1,7,1,8,1,13,2,9,1,7,1,8,1,9,1,8,1,13,1,7,1,24,1,9,1,13,1,24,1,7,1,8,1,13,1,8,1,9,1,13,1,8,1,10,1,8,3,13,2,9,3,24,1,9,3,8,1,12,1,8,1,13,1,8,1,24,1,13,3,7,2,13,1,6,1,7,1,13,3,7,2,28,6,13,1,9,1,8,1,10,1,24,1,17,1,9,1,10,1,12,1,17,7,8,1,9,4,11,1,10,1,16,1,11,1,16,2,11,1,9,1,11,1,17,2,11,8,17,1,11,1,12,5,11,1,17,1,11,1,17,1,12,1,17,1,10,1,9,1,10,1,11,1,17,1,10,1,11,1,10,1,11,1,10,1,17,1,11,2,10,1,17,1,9,1,16,1,12,1,11,2,10,2,11,2,17,1,11,1,10,1,11,1,10,1,9,1,11,2,9,1,11,1,8,1,9,1,10,1,11,2,12,3,9,3,10,1,8,2,9,1,8,1,10,1,11,1,8,2,9,5,10,1,9,2,11,2,10,1,9,1,11,1,10,1,8,1,9,1,8,1,10,1,8,1,13,1,8,1,9,1,8,1,9,2,8,3,9,2,10,1,8,2,9,1,8,1,13,1,8,2,9,2,12,1,8,1,9,3,11,1,8,1,9,2,8,1,9,1,10,1,13,1,10,1,9,2,12,1,11,1,9,4,8,1,10,1,9,4,11,1,10,1,12,1,9,4,11,3,17,1,8,1,10,1,9,1,11,1,9,4,10,1,9,1,11,1,9,3,11,1,10,4,9,1,10,2,9,1,12,1,8,1,11,1,10,1,12,1,17,3,8,1,13,2,7,1,6,4,13,1,6,1,30,2,13,1,9,1,6,1,13,1,6,1,9,1,17,2,16,1,11,1,16,1,9,1,13,1,9,1,13,1,8,1,9,1,13,3,9,1,8,1,9,1,11,2,9,3,10,1,9,1,8,1,11,2,9,1,13,1,8,1,9,2,16,1,9,2,8,1,9,2,10,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,8,1,11,1,9,1,10,1,9,5,11,1,9,5,11,1,9,1,11,1,9,1,17,2,9,1,17,1,8,1,9,3,13,1,9,5,13,1,11,1,8,1,9,1,11,1,13,1,9,1,8,1,9,1,11,2,9,1,16,1,9,1,11,2,9,1,16,1,11,1,9,1,16,1,11,1,9,5,11,4,16,1,17,1,16,6,11,1,16,1,17,1,11,1,16,3,10,1,11,2,9,2,16,1,9,1,16,1,17,1,16,1,17,6,16,1,17,1,16,2,11,2,9,1,8,2,13,2,9,3,8,2,9,1,10,1,17,1,11,5,10,1,11,2,17,3,11,1,12,2,11,1,12,3,17,1,11,1,10,1,17,3,11,1,17,1,11,1,12,1,11,3,9,1,11,1,10,1,11,1,9,1,10,1,9,1,13,2,8,1,9,2,8,1,11,2,17,1,11,2,16,1,11,1,9,1,8,1,9,1,8,1,10,1,9,2,13,1,9,1,13,2,8,1,9,1,13,2,8,1,13,2,9,3,13,1,9,1,8,1,9,1,8,1,13,2,9,3,8,1,9,2,13,3,9,3,11,1,9,2,10,1,16,1,9,1,11,1,16,3,17,2,11,1,16,2,11,1,17,1,16,5,17,1,11,1,16,6,17,2,11,1,16,3,11,1,16,1,9,1,16,1,11,4,9,5,16,1,11,2,9,1,16,1,11,1,9,4,11,1,9,2,11,1,16,1,11,1,16,2,11,1,16,1,9,1,10,1,11,4,16,12,17,1,16,2,17,1,16,1,17,1,16,4,5,52,13,2,28,8,30,1,28,4,30,1,28,1,24,1,17,1,9,1,16,1,10,1,17,1,10,1,7,1,13,2,6,3,13,1,29,2,13,1,6,1,13,1,7,1,13,2,11,1,16,1,17,1,14,1,17,9,9,1,13,1,5,39,30,1,28,3,6,1,16,3,12,1,17,11,11,1,12,1,10,1,9,1,8,1,14,1,9,2,24,1,9,1,10,1,17,3,16,1,12,2,17,2,10,1,17,3,24,1,12,1,10,1,11,1,9,1,12,2,10,1,12,1,9,1,13,1,8,1,9,1,8,2,12,1,6,1,7,1,24,1,12,1,6,1,8,1,9,1,8,1,11,1,9,1,24,2,10,1,17,1,14,1,12,1,14,1,17,7,16,1,17,1,24,5,10,2,11,1,13,1,6,1,28,1,7,1,6,1,24,1,9,1,13,1,29,1,24,1,8,1,24,1,10,1,}, {6,3,8,1,24,1,8,2,24,1,10,2,24,1,8,1,30,1,28,1,7,1,28,1,29,1,13,1,9,5,24,2,13,1,9,2,17,1,24,1,8,2,13,1,24,1,13,1,9,1,6,1,8,3,6,1,13,1,28,1,8,1,7,1,29,1,8,1,13,1,24,1,6,2,8,1,6,2,8,1,24,1,13,2,10,1,24,1,15,2,12,1,24,1,12,3,15,1,12,1,17,4,11,1,9,2,24,1,9,1,15,1,9,1,24,2,15,1,9,1,24,1,8,1,9,2,10,1,9,1,10,1,9,1,8,1,14,2,12,1,9,2,12,1,9,1,10,2,17,1,16,1,17,1,16,1,12,1,9,1,17,1,11,1,12,1,17,11,13,1,9,1,14,2,17,2,13,1,9,1,12,1,15,1,9,5,24,1,17,3,16,1,17,3,16,1,17,37,16,1,11,1,6,1,9,1,24,1,6,1,30,4,28,23,30,2,28,2,29,1,28,1,30,1,6,1,13,1,8,1,15,1,17,1,9,1,8,1,13,1,29,1,8,1,9,1,16,1,17,3,16,1,17,2,9,1,8,1,12,1,8,1,13,4,8,1,6,2,7,1,8,1,13,1,6,1,8,1,10,1,24,1,9,1,17,5,9,1,29,1,28,13,9,2,17,8,16,3,17,2,16,1,17,4,16,1,17,1,16,2,17,3,16,7,11,1,9,5,8,1,9,1,13,1,9,2,13,2,9,1,13,1,8,2,9,1,13,2,9,2,11,2,9,1,11,1,16,6,11,2,16,1,11,1,9,2,11,1,9,1,11,2,9,4,11,1,16,1,11,1,9,1,11,1,13,1,9,4,11,1,13,2,16,1,11,1,16,1,11,1,9,1,8,1,9,2,13,1,9,1,11,1,9,1,13,1,9,2,16,2,17,1,16,1,11,1,16,1,17,1,16,3,9,1,11,1,8,1,11,1,13,1,9,2,11,1,9,1,11,2,16,3,17,1,16,4,11,1,9,3,13,10,9,2,16,2,11,3,9,2,11,4,9,1,11,2,9,1,11,1,16,1,11,1,9,1,13,2,8,1,13,2,6,1,13,4,11,4,9,5,11,2,16,3,17,1,16,3,17,2,16,1,17,1,16,6,11,1,16,2,11,4,16,6,17,6,16,7,11,1,9,1,16,1,11,1,9,3,16,1,9,2,11,1,9,4,11,1,9,1,11,2,9,1,13,1,11,1,9,8,13,2,11,1,13,1,16,1,9,1,11,1,13,1,9,2,16,2,11,1,16,1,9,6,16,1,9,1,16,2,17,1,16,4,17,8,11,1,6,1,30,1,7,1,6,1,30,3,28,1,30,1,28,1,13,1,9,1,12,1,11,4,17,1,12,1,17,3,16,1,11,1,9,1,11,1,8,2,13,1,6,2,28,1,30,3,28,1,30,1,29,1,13,1,8,1,13,1,9,1,11,1,9,1,8,1,9,2,10,1,11,1,9,2,11,1,8,1,9,1,10,1,11,1,9,1,8,1,16,1,17,5,16,1,17,1,16,6,17,1,16,1,17,4,16,2,17,1,11,1,17,1,16,1,11,1,16,6,11,1,16,6,9,1,16,1,9,1,11,1,16,3,11,1,10,1,11,4,16,1,9,1,16,1,11,1,10,1,16,2,11,4,16,1,11,2,10,1,11,3,10,1,11,2,9,1,11,1,17,3,9,1,11,3,9,1,16,1,11,3,9,1,16,1,11,2,16,3,9,1,17,1,11,1,16,4,17,1,16,3,17,2,16,1,17,1,16,1,17,2,16,1,17,1,11,1,17,1,11,1,16,2,9,1,16,2,9,1,11,1,9,1,16,1,10,1,11,1,9,1,11,1,9,4,17,1,9,1,11,3,9,1,11,1,9,1,10,2,11,1,9,1,16,2,9,1,16,1,11,3,16,1,11,2,9,5,16,1,9,2,11,1,9,1,11,1,9,2,11,2,10,1,16,1,11,1,16,1,9,1,11,2,16,3,17,1,11,1,16,1,11,1,16,3,9,1,11,1,16,1,11,2,16,1,11,1,16,4,11,1,16,2,10,1,11,4,16,1,9,1,10,1,11,2,16,2,11,1,16,1,11,2,16,1,17,10,16,1,17,1,8,1,9,1,11,1,9,1,8,1,13,1,6,2,8,1,30,1,6,1,9,1,11,2,16,1,9,1,10,1,9,1,13,1,7,1,6,1,29,1,13,1,9,7,8,1,9,1,8,1,9,1,8,1,9,3,8,3,9,3,8,1,9,1,11,1,16,1,11,2,16,1,17,1,16,1,17,11,11,1,16,1,17,43,16,1,17,1,16,1,17,2,16,1,17,22,16,1,17,25,16,2,11,1,9,3,8,1,9,2,11,3,9,2,8,2,9,5,10,1,11,2,10,1,16,1,13,1,11,1,9,2,8,1,9,2,8,1,9,3,13,1,8,1,13,2,9,1,8,1,13,4,9,1,8,2,13,1,9,2,13,7,8,2,11,1,8,1,9,3,13,3,9,1,13,1,9,1,13,2,9,1,13,1,9,1,13,1,9,1,13,1,9,2,7,1,13,3,8,1,9,1,13,1,8,1,13,1,9,1,8,1,9,6,11,1,9,1,8,1,13,4,7,1,13,1,9,4,8,1,9,1,8,2,9,1,13,2,9,2,8,4,9,1,11,1,9,3,13,2,8,1,13,3,9,1,8,1,11,1,9,1,13,1,9,1,8,1,13,5,9,2,13,2,7,1,13,1,9,1,11,1,13,1,8,1,9,1,13,5,9,1,13,1,8,2,9,2,13,5,8,3,9,1,13,2,16,1,11,1,16,2,17,2,9,1,8,2,11,1,9,3,8,1,9,5,13,1,9,1,16,1,9,1,8,1,9,7,8,1,9,1,8,1,13,1,9,2,8,1,13,1,8,2,13,1,8,4,9,1,13,1,9,1,13,2,9,1,13,1,9,2,13,1,9,1,8,1,9,1,11,1,13,5,8,3,13,4,8,1,13,1,9,1,13,4,9,1,13,1,8,1,13,3,8,1,13,2,8,1,9,1,8,1,9,1,13,4,8,1,13,4,7,1,13,2,8,2,13,1,11,1,9,1,13,1,9,2,13,1,8,1,9,1,10,1,8,1,13,2,8,1,9,1,8,1,13,1,11,1,13,2,8,2,9,1,10,1,9,1,8,1,9,1,8,1,13,1,9,3,13,1,9,1,13,4,8,1,13,2,8,1,13,2,9,1,13,2,9,1,13,1,9,2,13,5,9,2,13,2,8,1,13,5,8,1,9,2,16,1,9,4,17,1,11,1,16,1,13,1,9,1,13,1,9,1,8,1,13,1,9,2,13,1,9,1,13,1,8,1,9,1,8,1,13,1,9,2,13,1,9,1,13,1,9,6,7,1,13,2,7,1,13,2,7,1,9,1,10,1,13,3,6,1,13,3,8,1,13,1,6,1,13,9,7,1,8,1,13,1,8,1,13,1,8,2,9,1,8,1,13,2,8,1,13,1,8,1,13,1,9,1,10,1,9,2,16,1,9,1,13,2,11,1,17,1,10,2,9,3,24,1,9,1,8,2,24,1,9,1,24,1,13,3,8,1,10,1,7,1,24,1,8,2,13,3,8,3,13,5,8,1,24,1,8,1,13,2,8,1,6,1,24,1,8,1,7,1,13,1,8,1,24,2,9,1,13,1,9,1,8,1,9,1,13,1,8,2,9,2,24,1,9,1,13,1,24,1,8,1,10,1,8,1,13,1,8,4,24,1,7,1,13,1,6,1,13,1,7,2,29,1,7,1,13,2,29,2,28,6,30,1,7,1,12,1,10,1,9,1,11,1,17,1,12,2,17,1,12,1,17,5,12,1,11,1,8,1,9,3,11,1,9,2,16,1,9,1,10,1,17,1,16,2,11,1,16,1,12,1,17,1,12,1,16,1,11,2,17,1,11,1,17,1,12,2,17,1,12,1,17,2,12,1,11,3,12,2,11,1,10,2,11,1,17,1,11,1,12,2,17,1,12,1,11,2,10,1,9,2,10,1,11,4,12,1,10,1,17,1,11,2,12,1,9,1,10,1,11,1,9,1,10,1,9,1,10,2,9,1,10,1,9,1,11,1,12,2,9,1,11,1,9,1,11,1,9,1,8,1,9,1,10,2,9,3,24,1,9,1,10,1,9,1,8,2,9,4,11,1,10,1,9,5,13,1,8,1,13,1,8,3,9,3,8,1,9,1,8,2,9,2,8,1,9,1,13,1,9,1,8,1,9,2,8,1,9,1,10,1,9,1,24,1,9,1,10,1,8,2,13,1,9,4,10,1,9,1,8,1,12,1,9,3,24,1,10,1,9,1,8,1,9,1,10,1,9,1,10,1,8,1,9,1,12,1,9,1,10,1,9,2,24,2,9,4,10,1,9,1,11,1,9,2,10,1,9,2,11,1,9,1,8,1,11,1,8,1,9,1,10,1,9,3,10,2,11,1,10,1,9,6,12,1,9,1,17,2,10,1,13,1,7,1,6,2,13,1,6,4,30,1,6,1,9,1,13,1,8,1,9,1,11,1,17,2,11,1,9,2,13,1,8,2,9,1,13,1,9,1,8,1,9,1,13,1,6,1,13,1,11,1,9,8,8,1,11,1,9,1,13,1,9,2,8,1,11,1,13,1,9,1,11,1,9,8,8,1,9,1,8,1,9,1,8,1,11,1,9,2,11,2,9,2,10,1,9,1,11,4,9,3,11,3,17,2,16,1,11,1,9,2,11,1,8,1,9,5,13,1,9,2,13,1,8,1,9,1,8,1,13,1,9,1,8,2,9,2,11,1,9,1,11,1,9,2,11,1,10,1,16,2,11,2,16,1,9,1,11,1,9,1,10,1,11,1,16,1,9,1,11,1,8,1,16,1,11,1,10,1,16,2,11,2,17,1,11,1,16,1,11,1,16,2,11,5,16,4,17,6,16,1,17,2,16,1,10,1,9,2,11,1,13,1,8,1,9,3,8,1,9,1,11,3,10,1,17,1,12,6,11,1,12,1,11,1,17,1,11,1,12,1,11,2,17,1,11,1,12,1,11,2,17,1,11,1,12,1,10,1,17,1,11,1,12,2,11,1,12,1,17,1,11,1,9,1,11,1,10,2,11,1,12,1,10,1,8,1,10,1,11,2,12,2,11,1,9,2,17,1,11,1,16,1,11,1,9,2,8,1,9,1,8,1,9,2,8,1,13,1,9,1,8,1,9,2,13,2,9,1,13,1,9,1,8,1,9,2,8,1,9,5,8,1,9,4,8,1,13,1,9,1,8,2,9,1,13,1,9,6,11,2,13,1,11,1,8,1,16,1,11,2,9,1,11,2,16,2,11,1,16,2,17,1,11,1,16,3,10,1,16,2,17,1,11,1,17,1,11,3,16,5,11,2,16,1,11,3,16,1,9,1,11,3,9,1,11,3,10,1,9,2,11,5,16,1,9,1,16,4,11,1,16,1,11,3,9,1,11,1,10,1,16,3,11,1,9,1,11,1,17,2,11,1,16,2,17,1,16,2,17,1,16,1,17,2,16,9,17,1,16,1,17,6,16,6,5,25,33,2,5,3,30,1,17,1,28,15,16,1,12,1,17,1,11,1,12,1,17,1,9,1,8,3,6,1,7,2,28,1,29,1,13,1,7,1,6,1,13,2,8,1,13,1,9,2,17,12,13,1,6,1,5,38,30,1,28,1,30,1,28,1,6,1,16,1,11,1,12,2,11,1,17,4,11,1,17,5,16,1,11,1,9,2,10,1,17,2,12,1,9,1,24,1,10,1,17,1,12,1,17,1,9,1,8,1,12,1,16,1,17,6,10,1,12,1,9,3,24,1,9,2,10,1,13,1,15,1,24,1,7,1,24,1,10,1,13,1,8,1,7,2,8,3,9,5,10,1,17,1,14,1,12,1,17,3,12,1,17,7,13,2,8,1,17,1,12,3,30,1,6,1,30,1,7,1,8,1,17,1,13,2,30,1,10,4,}, {29,1,7,1,6,2,13,2,8,2,9,1,15,1,9,1,6,2,29,1,30,1,29,1,30,1,13,1,9,2,16,1,11,2,13,1,24,1,7,1,12,2,11,1,9,1,24,1,13,2,8,1,13,1,8,1,13,1,24,1,13,1,7,1,30,1,6,1,8,1,6,3,24,1,8,1,24,1,7,2,13,1,6,1,24,2,10,1,8,1,24,1,9,1,13,1,10,1,17,1,24,1,9,1,12,1,24,1,15,1,12,1,17,3,12,1,17,2,10,1,24,1,8,1,24,2,9,2,8,1,15,2,9,1,8,1,24,2,8,1,15,1,9,1,8,2,12,1,14,1,15,1,13,1,8,2,9,1,17,6,11,1,9,1,10,1,9,1,8,1,17,10,11,2,12,1,14,2,16,1,9,1,11,2,12,1,9,1,24,1,9,1,8,1,9,1,24,1,17,6,12,2,16,1,17,37,16,1,9,1,6,1,7,1,13,1,6,1,30,1,29,1,28,1,29,1,28,28,29,1,6,1,7,1,6,2,10,1,17,1,9,1,7,1,30,1,13,1,9,2,12,1,17,3,16,1,17,2,9,2,8,1,13,2,9,1,8,2,6,3,30,2,13,2,8,1,24,1,9,2,11,2,10,1,17,2,11,1,29,1,30,2,28,3,30,1,28,7,10,1,11,1,17,1,16,1,17,5,16,1,17,2,16,2,17,4,16,3,17,2,16,1,17,1,16,5,11,1,16,1,11,1,9,4,13,1,9,2,13,1,9,3,13,1,9,1,13,1,9,1,13,1,9,1,13,2,11,1,9,2,11,2,9,1,11,1,9,2,11,1,16,5,11,1,16,5,11,1,9,3,11,2,16,2,11,2,9,1,11,1,9,1,11,1,9,2,11,1,13,1,9,1,11,1,9,1,11,1,9,2,11,2,9,2,11,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,11,3,16,3,11,1,16,4,11,1,16,1,11,1,9,1,11,1,16,1,11,2,16,2,17,1,16,5,11,1,13,1,9,1,13,3,9,1,13,6,9,1,16,2,11,1,16,2,9,1,16,3,9,1,11,1,9,1,11,1,9,3,11,1,9,2,11,1,9,3,6,1,13,1,9,1,13,2,11,1,9,1,11,1,16,4,9,1,11,1,9,2,11,2,16,7,17,1,16,10,11,2,9,1,11,1,16,1,11,1,16,4,17,1,16,1,17,6,16,1,17,1,16,4,9,1,16,1,11,4,9,1,16,2,9,1,16,1,11,3,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,13,1,9,3,11,1,9,1,13,2,9,3,13,1,9,2,16,1,9,1,16,2,9,2,11,3,9,3,11,1,9,1,16,6,17,1,16,1,17,1,16,2,17,7,11,1,13,2,6,1,30,1,6,1,28,1,30,2,6,1,11,1,9,1,10,1,11,2,12,1,11,1,17,1,11,1,17,2,11,1,17,1,11,1,13,1,9,1,8,1,7,1,13,1,6,1,28,1,30,2,28,2,29,1,28,2,6,1,7,1,13,1,8,2,9,1,13,1,8,2,9,6,10,1,8,1,9,1,11,1,8,1,9,1,17,6,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,2,11,1,17,1,11,1,17,1,16,3,11,1,16,4,17,1,16,1,11,1,16,1,11,1,16,2,17,1,16,1,11,2,16,3,11,1,10,1,16,1,11,3,16,1,11,2,16,1,11,1,16,4,17,1,16,2,10,1,17,1,16,3,11,2,9,1,16,1,9,1,11,1,16,1,9,1,11,3,16,1,9,2,16,1,11,2,16,1,11,2,16,1,11,1,16,3,11,1,16,4,11,1,17,2,11,1,16,1,17,2,16,5,17,1,11,1,17,1,16,3,9,1,11,1,16,1,11,1,9,3,11,4,9,1,11,2,10,1,16,1,9,2,11,1,9,5,10,1,9,1,11,2,9,1,11,1,9,1,11,2,9,2,11,1,9,1,11,1,9,1,11,4,9,1,11,1,13,1,16,1,11,2,10,1,9,1,11,3,16,2,11,3,16,5,11,1,10,1,17,1,11,1,16,1,11,3,17,1,11,2,10,1,16,1,11,2,16,1,11,1,17,1,11,2,16,2,11,2,16,1,9,1,16,2,9,2,11,3,16,1,11,1,16,1,11,1,16,1,17,5,16,1,17,6,16,1,8,1,13,1,10,1,13,1,6,2,13,2,29,1,7,1,11,1,17,3,16,1,17,1,10,1,9,1,8,1,13,1,6,2,8,2,9,1,8,1,9,2,13,1,8,1,9,1,13,1,8,2,9,10,16,2,9,1,11,2,17,6,16,1,17,2,16,1,17,4,16,1,17,51,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,26,16,1,17,6,16,1,17,2,16,1,17,2,16,3,11,1,10,1,13,2,9,4,13,4,9,3,8,1,10,1,9,2,10,1,11,2,9,1,11,1,9,1,11,1,16,1,13,1,8,1,9,3,13,1,8,1,13,7,9,1,11,1,9,5,13,1,9,1,11,1,13,3,9,1,8,1,7,1,9,1,8,1,9,3,13,6,8,1,9,2,13,1,9,1,8,1,13,1,8,2,9,1,8,3,13,1,9,1,13,1,9,2,8,1,9,1,13,2,9,1,13,2,8,1,9,4,13,7,9,1,13,2,8,1,13,1,8,3,13,1,8,1,13,4,8,1,9,2,13,1,8,1,13,1,8,1,9,1,8,2,9,2,13,1,9,1,13,1,11,1,8,3,9,2,8,2,13,2,9,1,13,1,11,1,9,2,13,1,8,1,13,1,9,3,8,4,13,2,8,3,13,1,9,2,13,2,8,1,9,1,13,1,8,1,9,1,8,1,9,3,11,1,16,1,17,1,16,3,17,1,9,3,8,2,9,4,13,1,11,1,9,3,8,3,9,1,8,1,9,1,13,1,9,3,13,3,8,2,9,5,13,2,9,2,13,1,9,2,8,2,9,2,8,1,9,1,13,1,9,2,13,1,9,1,11,1,9,2,13,1,9,2,13,1,11,1,8,2,13,3,6,1,8,2,13,3,9,2,16,1,11,1,16,1,11,1,13,1,8,3,9,2,8,1,9,1,13,3,9,2,8,1,13,2,9,3,8,2,9,1,10,1,9,1,13,1,8,1,13,1,8,1,9,1,8,1,13,2,8,2,13,2,9,1,13,1,9,3,8,1,13,1,9,5,8,1,9,1,13,1,9,1,13,3,8,1,13,2,8,1,13,3,8,2,9,2,13,4,9,1,13,1,11,1,13,1,8,2,9,1,13,2,9,1,13,2,9,1,13,2,9,1,13,2,9,2,8,1,9,5,16,1,13,1,9,2,13,3,10,1,8,1,11,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,13,2,9,5,13,4,6,1,7,3,13,1,9,1,17,1,13,3,6,1,13,2,8,1,13,7,8,2,13,4,8,1,13,1,9,1,13,10,9,6,13,1,9,1,11,1,16,1,10,1,9,1,11,1,9,2,24,1,8,1,24,2,10,1,8,2,24,1,7,1,8,1,13,1,24,1,8,2,9,1,7,1,8,2,13,1,8,1,24,1,8,2,9,1,8,1,24,2,13,1,24,1,8,1,6,1,24,1,8,2,24,1,8,1,7,1,24,1,8,1,9,1,13,1,8,4,13,2,9,1,13,1,9,3,24,1,9,2,8,1,9,2,24,1,9,2,8,1,24,3,6,1,8,1,13,1,6,2,7,1,13,4,7,1,6,1,28,6,6,1,7,1,24,2,12,1,24,1,12,3,17,8,9,1,13,1,11,1,9,1,11,2,9,1,8,1,11,2,17,2,11,2,17,1,12,1,17,2,12,1,11,1,12,1,17,1,11,2,17,2,12,1,17,1,12,2,10,2,11,2,9,1,11,1,12,2,10,1,11,1,10,1,12,1,10,1,9,3,8,1,9,1,12,1,11,1,9,3,10,2,11,1,9,1,12,1,10,1,11,3,10,1,9,5,11,1,8,1,9,1,8,1,9,1,10,1,9,1,12,1,17,1,9,2,8,1,9,1,11,1,8,1,9,1,24,3,9,1,24,1,8,1,9,2,8,2,9,1,8,1,10,1,11,1,9,1,24,1,10,1,9,1,24,1,9,1,8,6,9,1,8,1,9,1,8,2,9,3,8,1,24,1,8,1,9,2,24,1,8,1,9,2,8,1,9,1,10,1,8,1,9,3,10,1,8,1,9,4,8,1,9,1,10,1,8,1,11,1,10,1,9,2,10,1,9,3,8,1,9,2,11,1,24,2,10,1,9,3,10,1,9,2,11,1,9,1,11,1,24,1,11,1,10,1,9,4,10,1,9,4,8,1,9,3,8,1,11,1,9,1,10,1,9,1,11,1,10,1,9,1,11,2,9,1,24,1,9,2,11,1,10,1,9,1,17,2,11,1,13,1,9,1,7,1,8,1,6,1,13,1,8,1,6,1,13,1,6,1,29,2,28,1,6,1,9,3,11,1,13,2,9,2,8,1,9,1,13,1,9,1,8,1,9,2,11,1,9,4,13,1,9,3,7,1,11,1,9,3,8,1,10,1,9,1,11,2,9,1,11,1,13,1,9,6,13,1,8,1,13,2,9,5,13,2,9,1,13,1,9,2,8,1,9,1,11,1,9,1,8,1,9,2,17,2,11,1,17,1,16,3,11,1,17,1,13,1,8,2,13,1,8,1,9,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,9,1,10,1,9,4,10,1,8,1,11,1,9,2,11,2,10,1,9,1,11,1,9,1,11,1,16,2,9,1,11,1,9,1,11,1,9,2,11,1,16,1,9,1,11,2,16,1,17,1,16,2,11,1,16,1,11,1,16,1,17,1,16,1,11,1,9,1,11,1,9,1,11,1,16,2,17,1,16,1,17,9,16,1,9,1,11,1,9,3,8,1,6,1,13,1,8,1,11,4,10,2,12,1,11,2,12,1,11,1,12,3,17,1,12,1,17,2,12,1,17,1,11,1,12,2,11,2,12,2,11,1,12,2,17,1,11,2,12,1,10,1,12,3,9,4,10,1,11,1,9,1,10,1,9,1,8,1,9,1,12,1,10,1,17,1,9,2,10,1,13,1,9,1,17,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,13,1,8,1,9,4,13,1,9,2,13,1,10,1,13,1,9,8,8,2,13,1,9,1,8,2,9,2,13,1,9,7,10,1,9,1,10,1,9,2,11,1,9,3,11,1,9,1,11,1,13,1,11,2,9,1,16,2,9,1,11,1,16,6,11,1,16,3,17,1,16,5,11,1,16,1,11,4,16,5,17,1,16,1,11,1,16,7,11,1,16,1,11,1,16,1,11,4,16,1,11,2,10,1,16,4,11,1,16,1,11,1,16,3,11,2,16,1,11,1,17,1,11,1,10,1,16,1,11,1,16,3,17,3,16,1,11,1,16,2,11,1,16,3,11,1,16,2,17,1,16,1,17,12,16,1,11,1,5,14,33,2,30,1,13,1,33,1,16,2,13,1,30,2,16,1,28,2,6,1,28,11,29,1,9,1,17,1,16,1,12,1,17,1,11,1,17,1,8,1,9,1,13,2,7,1,6,2,29,1,6,1,13,2,7,1,13,3,9,1,11,1,17,2,16,1,17,9,11,1,16,1,30,1,28,1,5,36,28,2,30,1,7,1,8,1,16,1,11,1,16,1,17,13,12,1,9,1,12,2,9,2,12,1,8,1,15,1,9,2,17,1,24,1,13,1,8,1,9,2,17,6,9,1,12,1,8,1,12,1,10,1,12,1,17,1,24,1,10,1,24,1,10,1,15,1,12,1,8,2,10,1,13,2,9,1,6,1,24,1,8,1,9,4,8,1,15,1,17,1,14,2,17,1,16,1,17,2,16,1,17,4,11,1,12,1,24,1,8,1,11,1,17,1,12,2,9,1,30,1,29,1,28,1,13,1,8,1,17,1,24,1,7,2,9,2,10,1,11,1,}, {6,1,30,1,6,1,13,3,24,1,8,1,10,1,12,1,9,1,8,1,30,1,28,2,30,2,13,1,8,1,12,1,9,1,17,1,11,2,10,1,7,1,9,1,17,2,10,1,15,1,8,3,24,1,9,1,13,1,8,1,13,1,24,1,8,1,13,1,6,1,7,2,6,2,13,1,8,1,29,1,7,2,13,1,24,2,9,1,8,1,10,1,15,1,10,2,17,1,9,2,24,1,9,1,15,1,17,1,9,1,17,1,12,1,17,2,14,1,10,1,8,1,13,1,8,2,9,1,8,1,9,1,15,2,9,1,12,1,6,1,8,1,10,1,8,1,9,1,8,1,9,1,15,1,14,1,12,1,24,1,8,1,9,3,17,5,8,1,11,2,9,1,16,1,17,10,16,1,9,1,14,2,15,1,11,1,8,1,12,1,9,1,10,1,9,1,12,1,8,1,10,1,11,1,10,2,12,1,17,1,9,1,17,1,16,1,17,3,16,1,17,36,11,1,13,1,6,1,8,1,24,1,30,2,28,29,30,2,29,2,6,1,30,1,7,1,9,1,12,1,8,1,13,1,7,1,9,1,10,2,16,1,17,2,16,1,17,3,8,1,9,3,7,1,9,1,8,1,13,2,6,2,29,1,7,1,30,1,13,1,8,1,9,1,10,1,8,1,12,2,17,3,10,1,6,1,30,1,28,12,9,1,17,4,16,1,17,6,16,2,17,4,16,3,17,2,16,2,17,1,16,3,11,3,9,1,13,1,8,1,13,2,8,1,9,6,13,1,9,1,13,1,9,3,11,1,13,1,9,6,13,1,9,1,11,1,16,4,11,1,16,3,11,2,16,1,9,1,16,1,11,2,9,1,11,3,16,1,11,1,9,4,11,1,9,1,13,1,11,2,9,1,11,3,9,2,11,2,9,1,13,1,9,6,13,2,8,1,11,1,16,1,17,1,16,2,9,1,16,2,11,1,16,3,11,1,9,2,16,1,9,1,16,7,11,1,9,4,13,6,9,4,16,3,11,2,9,1,11,2,16,2,9,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,9,2,13,2,9,1,13,3,9,1,16,7,11,1,16,9,17,1,16,2,17,1,16,12,11,1,16,2,11,1,16,7,17,3,16,1,17,1,16,1,17,1,16,6,11,1,9,1,11,1,9,1,11,2,9,1,11,1,9,1,11,1,16,1,11,1,9,10,11,1,9,1,13,1,9,4,11,1,9,1,13,1,11,5,16,2,9,4,11,2,9,1,11,1,9,1,16,1,11,2,16,5,17,5,16,2,17,1,16,1,17,5,16,1,9,1,13,1,30,1,28,1,30,2,6,2,9,2,11,1,10,4,11,1,17,2,11,1,12,1,17,1,11,1,9,2,13,1,6,1,29,1,6,1,28,1,30,1,28,2,7,1,29,1,28,1,30,1,28,1,8,1,7,1,8,1,9,1,24,1,10,1,13,2,9,1,8,2,9,2,13,1,8,1,10,1,9,1,8,1,11,1,9,1,17,7,16,5,17,2,16,1,17,1,16,4,17,2,11,1,16,1,11,1,16,6,11,2,16,1,11,3,16,1,11,1,16,2,11,1,16,1,11,1,16,2,17,1,10,1,16,2,11,2,16,2,9,1,11,1,16,1,11,2,16,4,11,1,16,1,17,1,16,1,11,4,16,1,11,1,16,1,11,1,16,1,11,2,16,2,9,2,16,1,11,3,16,2,11,1,16,1,11,1,16,2,17,1,11,1,17,2,11,1,17,1,16,2,17,1,16,3,17,1,16,2,11,2,17,1,16,4,11,1,16,1,11,1,13,1,11,1,9,1,11,2,9,1,11,1,9,3,11,1,8,1,11,1,9,1,10,2,9,1,11,3,9,1,11,3,16,2,9,2,11,1,9,1,16,1,9,1,16,1,11,1,10,1,9,1,11,1,10,1,9,1,16,1,11,1,9,3,16,1,9,1,11,2,10,2,11,2,9,1,11,1,16,2,11,3,16,5,11,3,16,1,17,1,11,2,16,5,17,1,11,1,16,5,11,1,16,5,11,1,16,1,11,2,16,1,11,3,16,1,11,1,16,2,17,5,16,1,17,7,10,1,6,1,13,1,6,1,8,1,11,1,9,1,8,2,16,1,11,1,17,1,16,2,17,2,10,1,9,1,8,1,13,2,7,1,13,2,9,1,8,1,10,1,8,1,9,2,8,1,9,1,8,1,9,2,8,1,9,5,16,1,9,1,11,1,10,1,11,1,17,4,16,1,17,4,16,1,17,26,16,1,17,27,16,1,17,17,16,1,17,20,16,1,17,8,16,3,17,4,16,1,17,1,16,2,13,1,9,1,13,1,9,1,13,1,9,1,8,1,13,1,9,1,10,2,9,2,11,1,9,2,11,2,9,2,11,1,10,1,9,1,16,3,9,1,13,1,8,1,9,2,8,1,13,1,9,1,8,1,9,2,13,1,9,3,10,1,13,1,9,2,11,1,9,1,13,2,9,1,13,4,9,4,8,1,9,1,13,3,8,2,9,2,8,1,13,2,9,1,13,2,6,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,13,5,6,1,13,2,8,1,10,1,16,1,8,2,13,1,8,1,13,7,8,3,13,2,11,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,9,2,8,3,9,1,13,1,8,1,9,1,13,2,8,1,9,1,13,1,9,1,8,1,9,1,13,1,9,5,8,1,11,1,8,2,9,1,8,1,13,2,9,1,13,1,8,1,9,1,13,1,9,2,13,2,9,1,13,3,9,1,8,1,9,1,13,5,9,3,11,1,9,1,11,2,16,1,11,1,17,1,16,1,11,1,9,2,11,1,9,9,11,1,9,15,8,1,9,2,10,1,9,1,13,1,11,1,9,3,8,1,9,1,13,1,11,1,8,2,13,1,8,2,13,3,8,1,9,2,8,1,9,1,13,2,9,1,8,1,13,2,8,1,9,1,8,1,13,1,7,1,8,1,11,1,9,1,13,2,9,2,8,1,13,2,8,1,9,1,13,3,8,2,13,1,9,1,8,1,9,1,8,2,13,1,8,2,9,2,13,2,10,2,16,1,8,1,9,1,11,1,9,2,13,1,8,1,9,1,13,2,9,1,13,2,8,1,9,1,8,3,9,1,13,1,8,1,9,3,13,1,9,1,13,2,9,3,13,2,8,1,13,2,8,1,13,2,8,2,13,5,9,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,13,1,9,1,13,3,8,1,13,7,9,1,8,1,9,1,8,1,13,1,9,1,13,1,16,2,11,1,9,2,13,1,9,1,8,2,9,2,8,1,9,1,8,2,9,1,13,4,9,1,13,2,9,1,8,1,9,5,8,2,13,4,7,1,9,1,10,1,13,2,6,1,8,1,13,2,30,1,13,2,9,1,7,1,13,8,9,4,13,1,8,1,13,8,8,1,13,2,10,1,16,1,13,3,11,1,17,2,10,1,9,2,8,1,9,1,8,3,13,1,24,1,8,1,9,1,8,1,24,1,13,1,9,1,13,1,24,1,13,1,8,1,10,1,13,1,24,2,8,2,24,1,8,1,7,1,8,3,7,1,8,1,13,4,7,1,13,1,24,1,8,1,13,1,8,1,24,1,9,1,24,1,9,1,24,2,13,1,8,1,24,1,9,2,10,1,9,1,11,1,10,1,9,1,13,1,9,2,24,1,8,2,13,1,7,1,8,2,6,1,13,1,8,1,13,3,7,1,13,1,6,1,24,2,30,1,28,5,30,1,28,1,24,1,10,1,9,1,10,2,12,1,17,1,12,2,17,7,13,1,9,1,11,1,9,1,11,1,9,1,13,1,10,1,11,2,17,1,11,3,12,1,11,2,17,1,11,1,17,2,12,1,17,1,12,2,17,2,10,1,12,1,9,1,10,2,11,1,10,1,11,1,12,1,9,1,11,1,10,1,9,2,12,2,9,1,8,1,10,1,9,1,11,1,9,4,10,1,11,1,10,1,11,1,10,1,11,2,17,1,9,1,11,1,10,1,9,2,10,1,9,2,11,1,8,1,9,1,24,1,10,1,9,1,12,1,9,1,17,1,8,1,9,1,24,1,9,1,8,2,24,1,9,2,11,1,9,1,8,1,10,1,9,2,24,2,9,1,8,2,10,2,9,1,8,1,13,1,6,1,9,1,13,2,24,2,11,1,9,2,13,1,11,1,13,1,9,2,24,1,8,1,9,2,24,1,9,1,11,1,8,2,9,2,8,1,10,2,9,2,12,1,9,2,8,1,9,1,8,1,9,2,10,1,8,1,9,1,11,1,9,2,10,2,24,1,9,1,8,1,9,1,24,1,8,1,9,1,8,1,9,4,10,1,9,1,24,1,9,2,12,1,9,3,10,1,9,1,8,1,9,1,13,1,8,1,10,1,9,1,11,1,9,1,13,1,9,1,8,1,9,2,12,1,10,1,24,1,10,2,9,1,8,1,9,1,8,1,11,1,9,3,10,1,9,1,11,1,10,1,12,1,10,2,9,1,13,2,8,1,7,3,13,1,6,2,13,1,30,1,28,2,30,1,13,1,8,1,9,1,13,2,9,1,13,2,9,1,13,1,9,3,13,1,9,2,13,1,8,1,9,6,13,1,9,4,13,2,8,1,9,1,13,1,9,2,13,1,9,2,8,1,9,2,13,1,9,2,8,1,13,2,8,1,9,1,8,1,9,2,13,2,9,3,8,1,13,1,9,2,11,1,9,1,11,1,17,1,11,1,17,1,16,1,9,1,11,4,16,1,8,1,10,1,13,2,8,2,13,3,9,1,8,2,13,2,8,1,9,1,13,2,9,2,11,1,9,2,10,1,11,1,9,1,11,1,16,1,11,1,16,2,9,1,16,1,11,1,9,1,11,2,9,1,11,1,9,1,11,1,9,3,11,1,16,1,9,1,16,2,11,1,16,4,11,1,16,3,17,10,9,1,11,1,9,1,8,1,6,1,13,1,9,2,11,2,10,1,9,1,10,2,11,1,10,2,11,1,12,3,11,1,17,1,12,1,11,4,12,4,11,10,9,1,17,2,12,1,10,1,9,1,10,2,9,2,10,1,13,1,9,1,10,1,9,1,8,3,9,1,10,1,9,1,10,1,9,2,10,1,9,1,11,1,17,1,12,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,9,1,11,2,9,7,13,1,9,10,13,1,11,1,9,1,8,2,9,2,13,1,11,1,9,4,8,1,9,2,16,1,9,2,11,1,9,7,11,1,10,1,11,1,10,1,9,1,11,1,9,1,8,1,9,5,16,2,11,2,16,3,11,2,17,1,16,3,11,1,9,1,11,4,9,1,16,2,17,1,16,3,11,1,16,1,17,2,16,2,17,2,16,2,11,1,16,2,11,2,16,10,11,1,16,5,11,1,16,1,11,1,16,2,11,2,16,1,11,3,16,2,11,5,16,1,11,2,16,1,9,1,16,1,11,1,16,2,17,5,16,1,17,2,16,1,17,1,16,1,17,3,16,3,17,2,16,3,17,1,16,2,11,1,16,1,11,1,16,2,17,3,16,1,11,1,13,1,28,9,30,1,28,4,6,1,10,1,17,1,16,1,17,2,11,1,9,2,24,1,10,1,13,1,6,1,28,1,6,1,28,1,6,2,7,1,6,1,13,1,8,2,24,1,12,1,17,2,11,1,16,2,10,1,16,1,17,1,12,1,17,5,11,1,6,1,28,1,5,35,28,3,6,1,9,1,16,3,17,6,11,1,17,5,12,1,17,1,11,1,9,2,12,1,9,1,12,1,10,1,24,1,17,2,12,1,13,1,24,1,8,1,7,1,8,1,12,1,17,7,24,1,17,1,24,1,12,2,13,1,24,1,13,1,8,2,9,1,8,1,9,1,8,1,13,1,8,4,9,3,17,1,11,1,9,1,8,1,17,5,16,1,11,1,17,6,10,1,9,4,17,1,12,1,24,1,6,1,30,1,28,1,7,1,8,1,17,1,8,1,7,1,29,1,9,2,16,1,9,1,}, {6,1,13,2,6,1,8,1,13,2,8,2,15,1,9,1,8,1,28,1,13,1,29,1,28,1,6,1,30,1,24,1,11,1,16,1,10,1,24,1,8,1,13,1,9,2,17,1,12,1,17,1,9,1,8,1,6,1,9,2,8,1,13,1,9,1,8,2,6,2,8,1,6,2,8,1,6,1,13,2,6,1,8,1,6,1,15,1,24,3,7,1,24,1,14,1,17,1,12,1,14,1,10,3,8,1,15,1,9,1,17,1,11,1,10,1,9,1,17,2,15,2,10,1,12,1,24,1,9,1,8,1,9,1,14,1,10,1,9,1,24,1,6,1,8,1,9,3,8,1,24,1,12,1,14,1,9,1,15,1,24,3,9,1,16,1,17,6,8,1,10,1,9,1,17,11,16,1,17,1,14,1,10,2,8,1,11,1,9,1,8,1,17,1,10,1,24,1,12,1,17,1,9,1,10,1,12,1,9,2,17,2,16,2,17,12,16,1,17,25,11,1,13,1,6,1,8,1,13,1,6,1,28,3,30,2,28,27,30,2,6,1,29,1,6,1,9,1,12,1,11,1,8,1,24,1,8,1,12,1,16,2,17,2,16,1,17,1,12,2,16,1,9,1,13,1,9,2,8,1,24,1,8,1,9,1,6,1,29,1,28,1,29,1,6,2,24,1,9,1,13,1,11,1,12,2,17,3,14,1,6,1,30,1,28,6,30,2,28,4,8,1,17,2,16,1,17,12,16,1,17,1,16,3,17,2,16,2,17,1,16,4,8,1,9,1,13,2,9,2,13,1,9,1,13,1,8,1,9,5,13,1,9,1,8,1,9,1,13,1,9,3,16,1,9,2,11,1,9,3,16,1,11,1,16,6,11,1,16,1,9,1,11,1,16,1,9,2,16,1,9,1,11,1,9,2,16,2,9,2,11,1,9,5,11,2,9,2,11,1,9,9,13,6,9,1,16,3,17,1,16,2,11,1,16,4,11,2,16,4,17,1,16,2,11,1,9,2,13,1,9,3,13,2,9,2,13,1,9,3,11,1,9,1,16,3,11,1,16,1,9,1,16,1,11,1,16,2,11,1,9,2,11,1,9,2,11,2,13,1,9,5,13,2,9,2,16,3,17,1,16,3,17,1,16,7,17,1,16,4,17,1,16,14,11,1,16,1,11,1,16,4,17,1,16,1,17,1,16,1,17,2,16,1,17,2,16,4,11,4,16,1,9,1,11,1,9,1,11,4,9,1,16,1,9,2,11,1,9,1,11,1,9,7,13,1,9,1,13,1,9,3,11,1,9,2,11,1,16,1,9,1,16,1,11,1,9,2,11,1,9,1,11,4,16,1,11,2,16,1,9,2,16,6,17,1,16,1,17,6,16,2,17,6,11,1,13,1,6,1,13,3,10,1,11,4,12,1,11,1,10,1,17,1,11,1,9,1,17,1,12,1,9,1,11,1,8,1,9,1,13,1,29,1,6,1,30,1,28,2,29,1,28,1,29,1,28,2,29,2,6,1,13,1,8,2,13,2,11,1,8,1,9,1,13,1,9,1,8,1,9,3,8,1,10,1,13,1,8,1,9,1,11,1,17,6,16,2,17,1,16,1,17,2,16,3,11,1,17,3,16,1,17,1,11,1,17,1,16,7,11,1,16,1,9,1,16,2,10,1,11,4,16,1,9,1,16,3,17,1,11,1,16,1,17,1,11,1,16,1,11,2,16,1,9,1,16,3,17,1,16,2,11,1,16,5,9,1,11,3,16,5,11,1,16,2,11,3,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,2,17,2,16,1,17,1,11,1,16,1,17,1,16,1,11,1,17,2,16,2,17,1,16,2,11,1,17,1,16,3,9,1,11,1,9,4,11,1,9,1,11,1,9,5,13,1,10,1,11,1,16,1,9,1,11,2,13,1,11,1,9,3,16,1,9,2,11,3,16,1,11,2,9,1,11,1,16,1,11,1,9,3,10,1,9,1,11,1,10,1,9,1,17,1,9,1,17,1,9,1,8,1,11,1,9,5,16,2,11,1,16,1,17,1,11,1,17,1,11,1,16,1,17,1,16,3,17,1,11,5,16,3,11,1,16,2,11,1,17,1,11,1,16,4,11,1,16,1,11,1,9,1,11,1,16,2,11,2,16,7,17,1,16,1,17,2,16,1,17,3,16,1,17,3,8,1,13,2,8,2,13,1,6,1,13,1,17,1,16,1,17,1,11,1,17,1,12,1,16,1,11,1,9,1,10,1,9,1,8,1,6,1,30,1,7,1,13,1,9,1,8,3,9,5,8,2,9,7,16,2,11,1,9,1,17,11,16,1,17,60,16,1,17,4,16,1,17,2,16,3,17,19,16,2,17,6,16,1,17,9,16,2,11,1,16,1,11,1,9,9,11,1,9,1,11,3,9,1,11,2,16,1,11,1,16,1,11,1,8,1,13,1,8,2,13,1,9,1,13,1,9,1,13,1,9,5,11,1,13,1,9,6,11,1,13,6,9,3,11,1,9,1,8,1,9,1,13,1,8,1,9,2,13,1,9,1,8,1,9,2,13,2,9,1,13,3,11,1,9,2,13,3,9,1,8,2,13,2,8,1,13,3,9,1,11,1,9,1,8,1,13,2,8,1,13,1,9,1,13,1,9,1,13,3,7,1,13,2,9,2,8,1,13,1,9,1,11,1,13,1,9,4,8,1,9,4,13,1,9,2,13,2,8,1,9,2,16,1,9,1,13,1,9,3,13,1,11,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,13,3,9,1,8,1,9,3,8,1,7,1,13,1,8,1,13,2,9,3,13,4,6,1,9,2,11,1,9,3,11,1,17,2,11,1,16,1,11,1,9,1,11,2,9,2,10,1,9,1,13,1,9,1,8,1,9,3,11,1,9,2,8,1,10,1,9,1,11,1,9,1,13,2,9,1,11,2,16,1,9,1,11,1,9,2,16,1,8,2,9,1,13,2,9,2,11,2,8,1,9,1,13,4,8,1,13,1,9,2,13,1,9,1,8,1,13,1,9,2,8,1,9,1,11,1,9,4,13,2,9,1,8,1,9,3,8,1,9,3,13,1,9,1,8,4,9,1,8,1,9,1,13,2,9,1,13,2,9,1,13,4,8,1,9,1,13,1,8,1,13,2,9,1,13,2,9,1,13,1,8,1,13,1,8,2,13,1,8,1,9,2,8,1,10,1,9,1,8,1,9,1,8,1,9,1,13,1,9,4,13,1,9,1,13,1,9,1,13,3,8,1,13,1,8,1,13,1,9,1,13,3,9,2,13,3,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,2,9,1,13,7,8,2,9,2,13,1,9,1,13,1,11,1,9,1,16,1,13,1,9,3,8,3,13,1,9,1,11,1,9,3,13,1,9,1,8,2,9,1,8,2,11,1,8,1,9,1,13,1,9,1,8,1,10,1,8,1,9,1,13,1,8,1,13,3,9,3,13,2,8,1,6,1,8,1,9,1,13,1,8,1,13,2,8,1,13,1,9,1,8,4,13,1,8,2,9,1,13,1,9,1,13,1,8,1,13,2,8,1,13,2,8,2,9,2,11,1,16,1,9,1,13,2,17,2,16,1,10,1,17,1,9,3,8,1,13,1,24,1,13,1,24,1,8,2,9,1,8,1,24,1,8,1,24,1,8,1,24,2,8,2,24,2,9,2,8,1,9,1,13,1,24,1,13,2,24,1,8,5,10,1,24,1,6,1,13,2,8,3,9,1,8,1,9,1,24,2,9,1,10,1,8,1,9,2,24,1,10,1,9,3,8,1,10,1,13,1,24,1,8,7,7,3,29,1,13,1,7,1,13,1,6,1,10,1,13,1,28,6,29,1,7,1,8,2,10,1,24,1,10,2,12,2,17,3,12,1,17,5,13,1,11,1,9,1,16,1,13,1,9,1,11,2,12,1,10,1,17,2,11,1,12,1,17,1,12,1,17,1,10,1,17,2,12,1,17,3,10,1,17,1,12,1,10,1,11,1,9,1,11,1,9,1,11,3,10,2,11,1,10,2,9,2,10,1,9,1,24,2,9,2,11,1,10,1,9,1,10,1,24,1,9,3,10,1,9,1,11,1,10,1,9,2,10,2,24,1,9,1,8,1,24,1,9,2,8,1,9,1,12,2,9,1,11,1,9,1,10,1,9,5,10,1,13,2,9,1,24,1,10,1,8,3,10,1,24,1,9,1,11,1,9,4,13,1,7,1,8,1,13,1,8,1,9,1,8,1,10,1,8,1,9,2,8,3,10,1,8,1,10,1,24,1,8,1,24,1,10,1,12,1,11,1,8,1,9,1,8,2,13,1,10,1,9,4,8,1,9,1,10,1,9,2,8,2,10,1,9,1,13,1,12,1,9,3,10,1,8,2,11,1,9,2,8,1,9,2,8,1,11,1,10,1,11,3,8,1,9,1,11,1,9,2,8,1,9,2,8,1,10,1,9,1,8,1,9,1,8,1,13,1,10,2,9,3,11,1,9,1,11,1,10,1,24,1,9,1,10,2,11,1,9,1,8,1,9,1,11,1,9,1,10,3,11,1,9,3,12,1,17,1,13,4,7,1,13,1,8,1,6,1,29,1,13,1,30,2,28,4,13,2,9,4,10,1,9,3,8,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,2,8,1,9,1,8,1,9,1,13,1,9,3,13,1,8,1,13,1,9,2,8,1,9,2,10,1,8,1,9,1,8,1,9,1,8,1,13,2,9,1,13,1,8,3,9,2,13,1,9,1,13,1,9,5,10,1,11,1,17,1,11,2,9,1,13,1,9,1,8,2,11,1,9,4,11,1,16,1,11,1,9,1,8,1,11,1,9,2,8,1,13,1,9,2,13,1,8,1,13,1,9,7,11,1,9,1,11,4,16,1,9,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,16,2,9,1,10,1,16,1,9,1,16,1,11,1,10,1,11,1,16,2,11,1,16,1,17,9,16,1,17,1,16,1,11,1,9,2,10,1,11,1,17,1,11,1,9,1,11,1,10,1,9,1,11,1,10,2,9,1,10,1,9,1,12,1,11,1,10,1,12,2,17,1,11,2,12,2,11,1,12,1,11,3,10,1,11,2,12,1,10,1,11,1,10,1,9,1,10,1,17,2,12,1,11,1,12,2,9,1,11,2,10,2,9,1,11,1,8,1,9,2,24,1,10,1,9,1,11,1,10,1,11,1,9,5,8,1,9,1,8,1,9,1,11,2,16,1,9,1,16,1,17,1,16,1,11,3,9,1,11,3,9,2,8,1,9,3,11,1,13,1,16,1,9,8,13,1,9,2,13,1,9,2,11,1,9,3,11,1,10,1,9,2,11,2,9,1,10,1,9,3,11,1,9,2,11,1,9,5,16,1,9,2,13,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,2,11,5,16,1,9,1,16,1,11,1,16,11,17,6,16,2,17,1,11,1,17,1,16,1,17,1,16,2,17,2,16,5,17,1,16,1,17,1,16,1,17,1,11,1,16,5,11,4,10,1,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,4,9,2,11,1,16,3,17,2,16,3,17,4,16,1,17,3,16,1,17,5,16,1,17,13,8,1,6,1,28,9,30,1,28,3,30,1,15,1,17,2,12,1,17,1,11,1,10,1,9,1,8,2,6,1,8,1,6,1,29,2,6,1,30,1,7,1,9,1,7,1,24,2,8,1,17,3,10,1,11,2,7,1,8,1,9,2,11,1,16,1,17,5,6,1,33,1,5,34,28,4,9,1,16,1,17,8,11,1,17,5,12,2,10,2,11,1,17,1,11,1,13,1,11,1,10,1,9,1,15,2,9,1,12,1,6,1,24,2,12,1,16,1,17,8,12,1,9,1,24,1,9,1,8,1,6,1,24,1,12,1,8,2,9,2,24,1,10,1,8,1,9,1,8,1,9,1,8,2,9,1,16,1,8,1,9,1,17,4,16,1,12,1,10,1,17,2,16,1,17,3,10,3,17,1,11,1,12,2,13,1,6,1,30,1,28,1,13,1,24,1,15,1,12,1,6,1,8,1,9,1,17,1,9,1,10,1,}, {6,1,7,2,8,2,13,1,8,1,24,1,12,2,9,1,29,1,30,1,6,1,30,2,6,2,10,1,15,1,16,1,17,1,9,1,8,1,13,2,9,1,17,2,12,2,9,1,24,1,12,1,24,1,8,2,7,1,13,3,29,1,13,4,8,2,13,1,24,1,9,2,10,1,24,2,8,2,10,1,9,1,10,1,15,1,17,1,12,1,8,1,24,1,13,1,9,1,10,1,15,2,9,1,17,1,14,1,12,1,10,1,9,2,8,2,9,1,8,1,15,1,14,1,15,1,13,1,9,1,24,1,7,1,8,1,6,1,8,1,13,1,6,1,24,1,14,2,24,1,9,1,8,2,13,1,16,1,17,6,8,1,12,1,8,1,17,11,12,1,16,1,14,2,10,1,9,2,8,1,9,1,10,1,11,1,12,1,10,2,12,1,17,1,9,1,17,2,11,1,16,1,17,1,16,1,12,1,17,36,16,1,10,1,13,2,8,1,13,1,6,1,28,33,29,1,30,1,6,1,7,1,8,1,17,1,9,1,13,1,9,2,11,1,9,1,16,1,17,3,9,1,8,1,9,2,10,1,9,1,8,1,9,1,8,2,9,2,8,1,7,1,30,1,13,1,6,1,13,1,7,1,6,1,8,1,24,1,9,2,16,1,17,1,14,1,15,1,13,1,28,9,30,1,28,3,13,1,11,1,17,1,16,1,17,11,16,7,17,1,16,1,17,1,16,4,11,1,13,1,9,1,8,1,13,2,8,1,9,4,13,1,9,2,8,1,13,1,9,1,8,1,9,2,13,1,9,4,13,1,9,1,13,2,9,2,16,4,11,2,16,4,9,1,16,2,11,2,16,1,9,1,16,2,11,1,16,1,11,2,9,2,13,1,9,1,13,1,9,1,11,1,9,1,16,3,11,1,9,3,8,1,9,3,8,1,9,1,13,1,9,3,13,1,8,1,16,13,11,1,16,1,11,1,17,1,16,3,11,1,13,1,9,8,13,1,9,1,16,1,11,2,16,3,9,1,16,2,11,2,9,1,16,1,11,3,9,1,11,2,9,4,13,1,9,5,8,1,9,1,16,4,17,1,16,2,17,1,16,4,17,2,16,6,17,1,16,1,17,2,16,2,17,1,16,6,11,1,16,13,17,2,16,9,9,1,11,1,9,2,16,1,9,1,11,1,16,1,11,2,16,2,9,1,11,2,9,1,11,1,9,2,11,2,13,1,11,2,10,1,9,1,11,1,9,7,11,1,16,1,11,1,16,2,9,3,11,1,9,1,11,1,9,1,17,1,9,2,11,3,16,1,11,1,16,4,17,1,16,2,17,1,16,1,17,1,16,1,17,2,16,4,17,7,16,1,9,1,8,1,13,2,9,1,11,1,17,1,11,1,10,1,12,1,16,1,11,1,17,3,9,1,10,1,8,1,9,2,13,1,30,3,29,3,28,1,30,1,6,1,28,1,7,1,8,1,13,2,8,3,9,1,13,1,8,1,10,1,9,2,13,2,9,2,10,1,13,1,9,1,10,1,13,1,10,1,9,1,17,5,16,3,17,2,16,2,17,2,16,1,17,1,16,2,17,1,16,4,11,1,16,4,17,2,16,1,11,2,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,17,2,16,1,11,1,17,1,16,3,11,1,16,1,11,2,16,1,11,1,16,2,11,1,16,2,11,2,16,1,11,1,16,1,9,1,16,4,11,2,16,1,11,1,9,1,16,2,9,1,10,1,11,1,9,1,16,6,11,1,17,1,16,1,17,1,16,3,17,1,16,2,17,1,16,1,17,1,11,1,17,2,16,1,17,1,16,2,11,2,16,1,11,1,10,1,9,1,10,1,9,1,11,3,9,1,11,3,8,1,9,1,11,1,9,4,11,1,9,4,11,3,16,1,10,1,11,1,9,1,11,1,16,1,10,1,9,2,11,1,9,1,11,1,8,1,9,6,10,1,9,1,11,1,9,1,10,1,11,1,16,1,11,1,16,1,9,2,11,1,9,1,11,1,9,1,11,1,16,1,11,5,16,1,17,1,16,1,11,1,16,1,17,2,11,1,17,1,9,1,16,1,11,2,16,1,11,1,16,1,11,2,16,2,11,1,16,1,11,1,17,1,16,1,11,3,16,2,17,1,16,1,11,1,16,7,17,5,16,1,11,1,16,1,17,3,16,1,17,1,11,1,9,1,13,1,8,1,13,2,10,1,17,1,11,1,9,1,12,1,16,1,9,1,13,1,9,2,12,1,11,1,13,1,6,2,30,1,7,1,13,1,9,3,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,8,1,9,2,10,1,11,3,16,1,17,15,16,1,17,22,16,1,17,24,16,1,17,15,16,1,17,4,16,8,17,14,16,2,17,5,16,2,17,2,16,1,17,5,16,4,11,1,9,2,11,1,9,2,11,1,9,2,10,1,9,2,11,1,8,1,9,2,11,3,9,1,13,3,9,2,13,1,9,4,8,1,13,1,9,1,16,1,9,1,8,1,9,6,16,1,9,3,11,1,9,1,13,2,16,1,8,1,11,1,9,2,13,2,8,1,13,1,9,2,8,1,11,1,8,1,13,1,9,3,13,1,9,1,13,1,16,1,9,2,13,1,9,1,11,1,9,2,8,1,9,3,13,1,8,1,9,1,8,1,11,1,9,2,13,1,9,2,13,1,9,3,8,2,13,1,8,1,13,1,9,1,13,1,9,2,8,2,13,1,16,1,9,7,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,2,10,1,9,3,11,2,13,2,9,6,8,1,9,2,13,1,8,1,13,2,9,2,8,2,10,1,8,1,13,1,9,1,8,1,9,1,8,1,9,2,13,2,8,1,13,2,9,1,8,1,11,1,8,1,11,2,16,2,17,2,11,6,9,2,11,1,9,1,13,1,9,1,8,1,9,4,8,1,11,3,9,3,11,2,10,1,16,1,9,1,8,1,9,2,11,2,9,2,8,1,9,2,8,1,11,1,16,2,8,1,9,1,8,1,9,3,8,1,9,2,8,1,9,5,13,1,9,5,8,1,13,2,9,1,8,1,9,1,13,2,9,1,13,1,9,2,6,1,8,2,6,1,10,1,13,2,8,1,9,2,13,1,9,1,8,1,9,1,13,1,8,1,9,1,13,2,9,1,8,1,9,1,13,1,9,2,8,2,9,4,8,2,9,2,8,1,9,1,8,1,9,1,8,1,11,1,9,6,13,2,9,2,8,1,13,1,8,1,13,6,9,1,13,6,6,1,9,1,13,1,9,2,11,1,13,1,8,2,9,1,13,1,8,2,13,1,9,2,8,1,13,7,9,1,13,1,9,1,13,2,9,2,11,2,16,1,9,4,17,1,16,1,9,3,13,1,9,5,13,1,8,1,13,1,8,2,9,3,8,1,13,1,9,1,13,1,8,2,13,2,9,1,13,3,17,1,9,3,13,1,9,1,13,1,9,1,13,2,9,1,8,1,13,1,9,1,8,1,13,1,8,1,13,2,8,2,13,1,8,1,13,2,9,1,13,1,8,1,13,1,9,1,13,2,9,1,8,2,13,1,16,1,9,3,6,1,13,1,17,1,12,1,17,1,9,2,10,1,8,2,24,1,8,3,24,1,8,4,24,1,8,2,24,1,7,1,13,1,24,1,6,1,9,1,13,1,8,3,13,1,9,1,8,1,13,2,8,2,13,3,8,1,9,1,8,6,10,1,9,1,24,2,10,1,24,1,13,2,8,1,10,1,8,1,9,1,8,3,11,1,9,2,24,1,9,1,8,2,13,1,8,1,13,1,6,1,7,1,29,1,7,1,6,2,29,1,6,2,13,1,24,1,6,1,28,7,6,1,8,1,24,1,9,1,10,1,12,2,9,1,12,2,17,2,12,1,17,6,6,1,13,1,9,2,11,3,17,1,10,1,11,1,17,1,12,2,11,2,17,2,11,1,9,1,12,1,17,1,12,1,17,1,12,1,10,1,11,2,9,1,8,1,11,1,9,1,11,1,9,2,12,1,9,3,8,1,10,1,9,1,10,1,24,1,13,1,8,1,9,1,8,1,10,1,8,1,10,2,9,1,10,1,9,3,10,3,24,1,9,3,11,1,8,1,11,1,8,2,9,4,24,1,12,1,10,1,9,2,13,1,10,1,8,2,24,1,9,1,8,2,10,1,8,1,24,1,8,1,13,2,9,3,24,2,9,1,13,1,8,1,9,2,8,1,12,1,9,1,8,1,9,1,8,1,13,1,8,2,13,1,9,1,17,1,9,1,24,1,10,1,12,1,13,1,9,1,8,1,9,1,12,1,9,2,13,1,9,2,10,1,9,7,24,1,9,1,8,2,24,1,9,1,11,1,10,1,8,1,9,4,10,1,9,3,10,1,9,4,8,1,11,1,9,1,11,1,9,1,10,1,9,9,8,1,9,2,10,1,9,3,13,1,9,1,10,1,9,1,11,1,9,3,10,1,9,1,10,1,9,1,8,1,12,1,11,1,10,1,9,2,11,3,9,1,10,2,9,1,8,1,10,1,9,1,13,3,7,1,13,1,6,1,7,1,6,4,30,1,28,2,29,1,28,2,30,1,29,1,13,2,8,1,9,1,10,1,9,1,8,1,9,2,13,1,9,1,8,3,9,1,8,1,9,1,11,1,13,1,9,3,13,1,9,2,13,1,8,1,13,1,8,1,9,3,8,1,13,1,8,1,13,1,9,2,13,1,8,1,13,1,9,1,8,3,13,1,8,1,9,3,8,2,11,1,16,1,17,1,16,1,11,1,9,1,10,1,8,1,9,1,8,2,13,2,9,3,8,1,13,1,9,2,13,1,9,1,8,1,9,4,13,1,9,1,8,1,13,3,9,1,13,1,9,2,13,1,9,1,13,1,9,3,11,3,10,1,11,2,10,1,11,2,16,1,8,1,11,3,10,1,16,1,9,1,17,1,16,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,17,1,16,1,17,7,16,1,8,1,9,2,11,1,17,1,11,5,12,1,10,1,11,1,9,1,11,1,10,1,11,3,12,1,10,1,12,1,11,1,12,1,11,1,12,1,9,1,11,4,12,1,11,1,12,2,10,2,11,1,17,1,12,1,17,2,12,1,17,1,9,3,10,2,12,1,11,1,12,2,9,2,11,1,9,1,10,1,9,2,8,1,13,1,10,1,9,1,8,1,9,1,10,1,8,1,12,1,9,2,11,1,10,1,13,2,17,1,11,1,9,2,11,1,16,2,17,1,11,1,9,1,16,1,9,8,8,1,9,1,11,1,9,1,10,1,9,1,11,1,13,1,9,1,8,1,11,1,9,2,8,1,9,7,11,1,9,1,10,2,11,4,9,3,10,1,9,1,11,1,16,1,11,1,9,2,13,1,8,2,9,5,8,2,11,1,9,2,13,1,9,2,8,1,9,8,8,1,11,1,16,1,9,1,16,1,11,1,17,1,16,7,17,1,16,1,17,5,16,1,17,7,16,1,17,1,16,1,17,3,16,1,17,6,16,6,17,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,2,16,1,11,2,16,1,11,2,16,2,11,1,17,1,16,2,11,1,17,1,11,1,17,1,16,1,17,1,11,1,16,1,17,1,11,1,16,1,17,1,16,4,17,11,16,1,13,1,28,5,30,1,28,8,30,1,15,1,11,1,12,1,17,3,9,1,12,1,24,1,13,1,30,2,6,1,29,1,6,1,29,1,30,1,13,1,29,1,13,1,8,1,9,2,12,1,17,2,11,1,9,2,6,2,13,1,8,1,11,1,16,1,11,1,17,4,16,1,11,1,16,1,5,32,33,1,28,4,9,1,17,1,16,3,17,11,10,1,12,1,9,1,12,1,9,1,15,1,10,1,9,1,14,1,8,1,12,1,9,1,10,1,13,1,24,1,13,1,24,1,8,1,9,1,11,1,17,4,11,2,17,1,10,1,17,3,10,2,8,1,24,2,10,1,9,1,8,1,24,1,8,3,24,1,8,1,9,1,13,1,12,1,9,1,12,1,16,1,9,1,17,3,16,1,12,1,16,1,17,5,16,1,17,1,16,1,8,1,11,1,12,1,10,1,17,2,9,1,6,2,7,1,6,1,24,1,12,1,9,1,13,1,8,2,9,1,12,1,24,1,}, {6,3,7,1,13,1,8,1,6,1,13,1,12,1,24,2,6,2,29,2,28,1,6,2,12,1,10,1,16,1,12,1,9,1,13,1,8,1,13,1,8,1,17,3,24,1,10,1,13,1,24,2,9,1,8,1,6,1,9,1,6,1,13,2,8,1,7,1,6,1,29,1,24,1,8,2,12,1,14,1,24,1,10,1,8,1,24,1,6,1,24,1,10,1,17,1,10,2,15,1,10,1,24,1,8,1,24,2,9,1,12,1,10,1,8,1,15,1,14,1,11,1,12,1,8,1,15,1,24,1,8,2,9,1,24,1,14,2,15,1,24,1,13,1,6,1,13,2,6,1,13,1,6,1,8,1,14,1,9,1,10,1,8,2,7,1,8,1,16,1,17,4,16,2,9,1,11,1,16,1,17,14,12,1,16,3,15,1,24,1,12,1,17,1,12,1,11,1,17,1,16,1,11,1,16,1,10,1,16,1,9,1,17,2,16,2,17,36,11,1,13,2,7,1,24,1,13,1,29,1,30,1,28,32,29,2,6,1,13,1,8,1,17,1,24,1,8,2,9,1,10,1,9,1,11,1,17,3,11,1,9,1,8,1,9,1,8,1,9,2,24,1,9,1,24,1,9,1,8,1,24,1,8,1,7,1,30,1,7,1,6,1,13,1,7,1,8,1,9,1,10,1,9,1,17,1,14,2,10,1,6,1,28,6,30,1,28,2,6,2,28,2,29,1,17,1,16,2,17,6,16,1,17,4,16,7,17,1,16,4,9,3,8,1,13,4,8,1,9,6,11,1,13,5,8,1,13,1,9,6,13,1,9,2,16,10,11,5,16,1,11,2,16,2,11,1,16,1,9,2,11,1,9,3,8,1,13,1,11,2,9,1,11,1,16,1,9,8,13,3,9,1,13,3,9,1,16,13,11,1,16,2,9,1,11,1,9,1,13,2,9,3,13,1,9,5,11,2,16,8,11,3,16,1,9,1,11,1,16,1,11,1,16,1,11,1,9,5,13,1,9,4,11,1,16,4,17,1,16,2,17,2,16,1,17,1,16,1,17,1,16,3,17,1,16,1,17,4,16,2,17,1,16,16,11,1,16,6,17,1,16,1,17,2,16,7,11,1,9,1,16,3,11,1,16,1,9,1,16,1,9,1,11,1,9,1,11,2,9,10,13,1,9,1,13,1,9,2,11,1,9,1,13,1,9,1,11,2,16,2,11,1,9,1,11,1,9,6,11,1,16,2,11,2,16,3,10,1,16,3,17,1,16,1,17,2,16,3,17,1,16,1,17,1,16,4,17,1,16,1,17,8,16,1,17,1,16,1,11,1,16,1,11,1,16,2,11,6,10,1,8,1,9,1,13,1,6,2,30,1,7,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,29,1,13,1,8,3,9,1,8,1,9,1,13,2,8,1,11,1,9,3,8,1,9,4,10,1,9,1,17,6,16,2,17,1,16,1,17,3,16,2,17,1,16,2,17,1,16,1,17,1,11,2,17,1,16,12,11,1,17,1,16,4,17,3,16,3,11,1,16,3,11,1,16,4,11,4,9,1,11,1,16,1,9,1,11,3,9,1,16,1,11,1,16,2,11,1,16,1,11,2,9,1,11,1,9,1,11,1,16,1,11,1,9,1,11,2,17,1,11,2,16,1,17,2,16,1,17,2,16,1,11,1,17,1,16,3,10,1,17,1,11,1,16,2,17,2,11,1,10,1,9,3,11,2,10,1,9,2,11,2,16,1,11,1,10,1,9,2,11,1,9,1,11,2,9,1,11,2,9,1,16,1,9,2,11,1,8,1,11,1,9,5,11,2,9,1,16,1,11,2,9,2,11,1,10,1,9,1,11,1,9,1,11,1,10,1,16,1,9,1,16,1,9,3,11,2,9,1,11,2,16,1,9,1,16,1,9,1,11,1,16,4,17,2,11,1,16,1,11,1,16,2,11,1,16,4,11,2,16,2,11,1,16,1,17,1,16,1,11,1,16,2,11,1,16,1,11,1,16,8,11,1,16,6,17,3,16,1,17,2,16,1,17,5,10,1,9,1,8,1,9,1,10,1,9,1,10,1,17,1,8,1,13,1,9,1,10,1,7,1,8,1,9,1,8,1,17,1,12,1,8,1,13,2,6,2,7,1,8,3,9,2,8,2,13,1,9,1,8,2,9,1,8,1,10,1,11,2,10,1,11,2,17,33,16,1,17,48,16,13,17,9,16,1,17,7,16,1,17,8,16,1,17,3,16,4,9,6,8,1,9,2,11,1,9,2,10,1,9,4,11,1,16,1,9,1,8,1,9,2,13,2,9,7,11,1,9,2,11,1,9,3,11,1,9,1,11,1,9,1,11,3,9,2,11,1,9,2,11,1,13,1,11,1,13,1,11,2,13,1,9,1,8,1,9,3,13,1,9,1,13,1,8,2,10,1,9,1,11,1,13,1,8,1,13,1,8,1,9,2,8,1,10,1,9,3,8,1,9,2,10,1,16,1,11,1,9,1,13,2,9,3,8,1,13,1,9,1,13,1,8,1,13,2,9,1,8,3,9,8,10,1,8,1,11,1,8,1,11,1,13,1,8,1,11,2,13,2,11,1,9,1,8,2,9,1,13,1,10,1,9,6,16,1,9,1,8,2,13,3,11,1,9,1,11,1,9,11,8,1,13,3,9,3,11,1,9,2,11,1,16,1,11,1,17,1,16,1,17,1,9,2,11,2,9,1,11,2,9,1,11,2,8,2,9,1,8,1,9,7,11,1,9,2,11,2,10,1,9,1,11,3,16,1,11,1,9,1,11,1,16,1,8,2,11,1,9,1,11,1,9,1,16,1,9,2,13,1,9,2,8,1,11,1,13,1,9,4,13,1,9,4,11,1,9,4,8,1,9,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,3,9,1,13,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,13,1,11,1,8,1,9,1,13,1,9,3,13,1,9,1,13,1,9,5,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,4,11,1,9,1,11,1,9,4,13,1,9,3,13,3,8,1,9,1,13,2,8,1,13,1,9,1,13,1,8,3,13,3,8,1,9,1,8,1,13,1,9,1,13,2,9,2,13,3,8,2,13,1,8,2,16,1,9,1,13,1,9,1,13,4,9,1,8,1,9,5,16,1,9,1,16,1,9,1,8,1,11,1,9,1,13,1,8,3,9,1,8,1,9,1,13,1,9,1,8,1,13,3,8,3,9,3,8,1,13,4,8,2,9,1,8,1,9,1,8,1,16,1,9,2,8,1,9,3,13,1,8,1,9,1,13,1,8,1,13,2,9,3,8,2,9,1,13,1,8,2,9,1,8,1,9,2,8,1,13,1,8,2,13,1,8,1,9,1,13,1,9,1,8,1,16,1,9,1,11,1,8,1,13,1,17,3,9,2,10,1,9,1,10,1,13,1,8,1,9,1,8,1,9,2,8,1,13,1,8,3,24,1,7,1,24,1,13,2,24,1,7,1,8,1,13,1,8,2,9,1,13,1,24,1,13,2,24,1,7,2,13,1,8,1,24,1,8,1,13,1,8,4,9,1,24,2,8,1,10,1,9,1,8,1,9,5,8,2,9,3,8,2,9,1,24,1,8,1,9,1,10,1,7,1,13,3,7,1,13,1,6,6,24,1,9,1,30,1,28,6,30,1,7,1,8,1,24,2,10,1,9,1,17,1,12,1,17,1,12,1,17,1,12,1,17,7,9,2,11,3,17,1,11,1,9,1,12,1,10,1,12,1,11,3,10,1,9,1,12,1,11,2,12,4,11,1,10,1,11,1,9,1,12,1,9,3,11,1,9,1,11,1,10,1,8,2,9,1,8,2,10,1,9,2,13,1,8,1,9,1,8,2,24,1,8,1,24,1,9,1,8,2,9,1,10,1,9,3,8,2,9,3,10,1,9,1,8,1,9,4,10,1,9,1,12,1,11,1,8,1,10,1,24,1,9,1,11,1,8,1,9,1,24,1,9,1,8,1,9,2,8,1,13,2,9,1,13,2,9,1,24,1,9,2,13,2,9,1,10,1,24,1,13,1,8,1,9,2,8,1,6,1,9,2,8,1,11,1,8,1,9,4,8,1,24,1,9,1,12,1,9,1,10,1,24,3,11,1,9,4,10,1,8,1,9,1,13,1,11,1,10,1,8,2,10,1,9,3,8,1,9,1,13,1,24,1,9,2,24,1,9,2,10,1,9,2,11,1,9,3,11,1,10,1,9,1,8,1,9,1,8,1,9,1,24,1,8,1,10,1,8,1,9,7,17,1,9,1,10,1,9,2,10,1,9,1,10,2,8,1,11,1,9,4,11,1,9,2,10,2,11,1,9,4,11,1,9,1,8,1,9,1,12,3,10,1,8,1,9,1,7,1,13,1,7,1,13,3,9,1,13,4,30,2,28,1,30,1,28,2,30,1,13,1,6,2,13,1,6,1,30,1,6,1,13,2,9,1,13,1,10,1,9,1,8,1,9,2,13,1,9,1,8,1,13,1,9,2,13,3,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,2,8,2,9,1,13,1,9,2,13,1,8,1,9,1,13,1,9,1,8,1,9,3,16,2,11,1,9,1,11,1,9,1,8,1,9,1,13,3,8,3,13,1,8,1,13,1,9,1,13,1,8,1,13,1,9,1,13,2,8,3,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,10,1,8,2,9,3,11,1,10,1,9,2,11,1,9,2,10,1,9,1,11,1,10,1,16,1,11,1,16,2,11,1,16,1,17,1,11,1,16,2,17,2,9,1,16,2,17,7,16,1,9,1,11,1,9,2,11,1,17,1,11,1,17,1,11,1,17,1,11,1,10,1,11,1,10,1,11,1,12,1,10,1,11,3,12,2,10,2,11,1,12,1,10,1,11,1,12,3,10,1,9,1,12,1,11,1,12,1,17,8,10,1,9,5,8,1,9,2,10,1,9,1,12,1,9,1,8,1,9,3,13,1,11,1,9,1,8,1,24,1,10,1,12,1,10,1,11,1,9,1,8,2,9,2,11,1,8,1,9,2,13,1,11,1,17,1,11,3,16,2,11,2,9,1,11,1,9,1,16,1,9,1,10,1,9,1,11,1,16,1,11,1,10,1,11,3,9,3,13,1,9,1,13,1,9,13,11,2,9,1,11,3,9,2,11,1,10,1,11,3,10,1,9,5,11,1,9,6,11,1,9,2,13,1,11,1,9,3,13,2,9,2,8,1,9,1,8,1,10,1,9,1,11,2,16,1,11,3,9,1,16,5,17,3,16,1,17,14,16,1,17,15,16,4,11,1,17,1,16,2,11,1,17,1,9,1,16,14,11,1,16,1,11,1,17,1,11,1,16,5,11,2,17,1,16,3,17,8,16,1,17,3,13,1,6,1,28,8,6,1,30,1,28,4,9,1,17,1,12,2,17,2,24,1,12,1,7,1,13,1,6,1,29,2,6,1,29,2,6,1,29,1,6,1,8,1,9,2,11,1,16,2,17,3,9,1,13,2,7,1,13,1,9,2,11,1,17,6,9,1,13,1,33,1,5,30,6,1,28,4,9,1,17,6,11,1,17,7,11,1,12,2,9,4,12,3,10,1,12,1,14,1,12,1,15,1,8,1,13,1,8,1,24,1,11,1,17,2,12,1,17,5,12,2,10,1,17,2,13,1,8,1,13,1,8,1,7,1,24,1,9,1,24,5,9,1,10,1,12,1,9,2,11,1,24,1,10,1,16,1,17,2,9,1,11,1,9,1,17,5,12,1,17,1,16,1,8,1,9,1,12,1,17,3,9,1,6,2,29,1,13,1,24,1,14,1,13,2,8,1,9,1,12,1,9,1,8,1,}, {6,1,7,1,6,1,13,2,24,1,8,2,24,1,14,1,9,1,6,1,29,1,30,1,29,1,6,1,13,2,9,1,14,2,12,1,9,1,13,1,8,1,9,2,17,3,24,1,13,3,24,1,8,1,24,1,13,1,24,1,7,2,8,1,13,2,8,1,30,1,13,2,9,1,12,1,24,1,10,1,24,1,7,1,24,1,8,1,10,1,15,1,24,1,10,1,14,1,15,1,24,1,9,1,24,1,8,1,11,1,12,1,8,1,9,1,10,1,8,1,9,1,24,2,13,1,6,1,9,1,6,1,8,2,12,1,14,1,15,2,9,1,6,1,7,2,8,2,13,1,6,1,8,1,17,1,24,1,12,1,8,2,24,1,9,2,17,1,14,1,17,4,9,1,24,1,17,13,12,1,17,2,12,1,9,1,10,1,16,1,17,1,15,1,16,1,12,1,11,1,12,2,10,1,16,1,10,1,16,1,9,1,10,1,11,1,12,1,16,1,17,36,9,2,30,1,7,1,13,2,6,1,28,34,30,1,29,1,6,1,9,1,15,1,9,1,8,2,24,1,8,1,11,2,17,2,12,1,9,1,24,3,8,1,9,2,24,1,8,2,9,2,8,1,13,2,6,1,8,1,6,1,13,1,7,1,13,1,9,2,17,3,16,2,29,1,28,7,6,1,29,1,30,1,28,4,11,2,16,2,17,11,16,10,11,1,9,4,13,5,9,2,11,1,9,4,13,3,9,1,13,1,9,3,8,3,9,1,13,1,8,1,9,4,16,7,11,1,16,3,11,1,16,8,11,3,9,2,8,2,13,1,9,4,11,1,9,5,13,2,9,1,13,2,9,2,13,3,9,1,16,5,17,1,16,3,17,1,16,5,9,2,11,1,9,1,16,1,9,4,16,1,9,2,11,1,16,11,11,1,16,1,11,1,16,3,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,8,11,1,16,1,17,1,16,1,17,2,16,2,17,14,16,1,17,4,16,18,17,9,16,1,17,1,16,4,9,1,11,1,16,1,17,1,9,3,16,1,9,1,11,1,16,2,11,1,16,1,13,1,11,1,9,1,11,3,9,3,11,1,9,4,13,1,9,2,13,2,11,1,16,2,9,2,11,2,9,1,11,2,9,3,11,1,16,1,11,2,16,6,17,1,16,1,17,3,16,1,17,4,16,2,17,1,16,1,17,1,16,5,17,8,16,1,9,1,11,1,16,1,10,1,16,1,10,1,16,1,11,2,12,1,9,1,8,1,9,2,13,2,6,1,28,2,30,1,28,2,6,1,29,1,30,2,6,1,29,1,13,2,8,3,13,1,9,1,8,2,13,1,9,3,8,1,16,1,8,1,9,1,13,1,9,1,8,1,9,1,11,1,17,7,16,4,17,2,16,2,17,1,16,2,17,2,16,10,9,1,11,2,16,8,11,4,16,2,11,1,16,1,11,1,16,1,9,1,16,1,11,1,9,1,16,3,11,2,9,1,16,2,11,2,16,1,11,2,16,1,11,3,16,1,10,1,11,1,16,2,11,1,16,3,11,1,16,2,11,2,16,1,11,1,17,1,11,1,16,4,9,1,11,5,17,1,11,1,17,1,11,1,16,1,17,1,16,1,9,1,16,1,11,1,9,2,10,1,9,2,11,1,16,2,9,1,11,1,10,1,9,1,11,1,9,3,11,1,10,1,9,2,10,1,11,1,10,1,9,2,11,1,9,2,16,1,11,1,10,2,9,1,16,1,9,1,11,1,9,1,11,1,10,1,9,1,16,1,11,4,10,1,11,2,10,1,9,1,11,1,9,3,16,1,10,1,8,1,10,2,9,3,11,2,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,3,9,1,16,2,11,1,16,1,11,1,16,3,11,1,16,2,11,1,17,1,16,3,11,2,17,1,11,1,16,1,17,1,16,1,11,1,16,1,11,1,10,1,16,2,11,2,17,7,16,1,17,2,16,1,17,2,16,1,11,4,10,1,17,4,16,1,9,3,13,2,12,1,11,1,9,1,8,1,13,1,6,1,28,1,6,2,8,1,9,3,13,1,9,6,8,1,11,3,7,1,13,1,9,1,17,81,16,1,17,1,16,2,17,5,16,3,17,1,16,4,17,1,16,1,17,1,16,1,17,24,16,1,17,1,16,1,17,1,11,2,9,6,10,1,9,1,11,1,9,3,10,1,9,2,16,1,11,1,13,1,9,1,8,4,9,1,11,1,10,1,9,3,11,1,9,5,13,1,11,1,9,1,10,1,11,1,9,1,16,2,10,1,9,1,8,1,9,1,8,1,9,1,8,1,9,3,8,1,9,3,8,1,13,1,8,2,9,1,11,1,9,2,11,2,9,3,8,1,9,3,8,1,10,1,9,2,8,1,9,3,10,1,9,1,11,1,9,2,8,1,13,1,8,1,9,1,13,2,6,1,13,1,8,1,13,1,9,6,10,1,9,7,8,1,9,3,11,1,9,2,10,1,8,1,13,1,11,1,9,1,8,1,9,2,8,1,9,6,11,1,9,5,13,2,9,1,8,1,9,1,13,1,8,1,11,2,9,1,11,1,9,1,13,1,8,1,9,1,8,1,13,2,9,2,8,1,9,3,10,1,11,2,16,3,17,1,16,1,10,1,11,1,16,2,11,1,9,1,11,2,9,1,16,1,9,2,11,1,9,2,11,1,9,4,10,1,9,1,10,1,9,1,11,2,9,1,16,1,9,2,11,1,9,1,11,1,9,2,10,1,9,1,11,5,9,1,10,1,8,2,11,1,8,1,10,1,9,2,8,1,9,1,13,1,10,1,9,5,11,1,9,1,13,1,8,1,11,1,9,1,13,1,9,1,13,1,8,1,10,1,9,2,13,1,9,5,13,1,9,4,13,1,9,2,13,1,9,1,13,1,9,1,13,3,9,1,13,1,8,3,9,2,8,1,13,1,9,3,13,1,9,1,13,1,9,1,13,1,8,2,9,1,11,1,16,1,9,7,11,1,8,2,9,1,8,1,13,2,8,1,9,1,8,1,9,1,13,2,8,1,13,1,9,1,8,1,9,1,8,1,13,1,8,2,9,2,13,1,9,2,8,1,9,2,8,1,13,2,9,1,8,2,16,1,11,1,13,5,9,1,13,1,9,5,11,2,9,1,16,1,11,1,8,2,11,1,9,4,13,2,8,1,13,1,9,2,13,1,9,1,13,2,8,1,13,1,8,1,11,1,9,1,8,1,13,6,9,3,16,1,11,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,2,13,1,9,1,8,1,9,2,13,2,8,1,9,1,8,1,9,1,8,2,9,7,8,1,9,3,10,1,9,1,13,1,9,1,13,1,9,1,17,1,12,1,17,1,11,1,10,1,24,6,8,1,9,1,24,1,8,1,9,1,13,1,24,1,9,1,8,1,13,2,8,3,29,1,8,1,13,1,9,1,7,1,8,2,24,2,13,3,8,1,7,1,13,1,8,1,24,1,8,2,10,1,13,1,24,1,9,1,24,1,9,1,8,4,9,1,24,1,13,1,8,2,9,2,24,1,9,3,8,1,24,1,11,1,9,1,24,1,11,1,13,1,24,1,6,1,13,2,7,2,6,1,29,1,28,1,13,1,7,1,13,1,12,1,28,7,29,2,8,1,24,1,10,1,12,1,10,1,24,1,17,1,12,1,17,1,12,1,17,11,11,5,16,1,11,3,10,2,12,1,11,1,12,1,10,1,9,1,11,1,10,4,9,2,10,1,11,1,12,1,10,1,9,2,11,1,12,1,8,3,9,1,13,2,8,1,24,1,8,1,9,2,8,1,9,1,24,2,9,1,24,1,9,1,13,1,9,1,8,1,24,3,10,1,8,3,24,1,8,1,9,1,8,1,9,1,10,1,13,1,9,2,10,1,9,2,10,1,12,1,13,2,24,1,8,1,9,1,10,1,13,1,9,1,8,1,24,3,8,1,13,1,8,2,13,1,8,2,13,1,9,1,13,2,8,5,9,1,13,2,9,2,8,2,9,1,13,1,9,1,8,1,10,1,8,1,9,1,24,3,9,1,12,1,9,4,10,3,9,6,8,1,9,2,10,1,9,5,24,1,8,1,9,1,8,1,9,2,8,1,9,2,11,1,9,2,8,1,9,1,11,1,9,2,10,1,9,4,8,1,10,1,9,1,10,1,11,1,9,2,8,1,9,1,10,1,9,1,10,1,8,1,9,3,11,1,9,1,8,2,9,2,10,3,12,1,10,1,9,1,11,2,9,2,11,1,9,2,10,1,9,1,10,1,9,1,8,1,9,1,8,1,12,1,17,1,16,1,17,4,11,1,10,2,9,1,8,1,16,1,9,1,13,1,8,2,9,1,7,1,6,2,28,2,29,1,30,1,28,1,8,1,30,1,13,2,7,1,13,2,9,2,8,1,9,1,13,1,8,2,9,1,13,1,8,1,13,2,9,1,13,2,8,5,13,1,9,1,13,1,9,1,13,1,8,1,9,5,8,1,9,1,8,1,9,2,11,1,16,2,11,1,9,3,13,1,8,1,13,1,8,1,9,3,8,1,9,1,8,1,9,2,13,1,8,1,13,10,9,1,13,1,9,2,13,2,9,1,11,1,9,3,11,1,16,2,11,3,9,3,11,1,9,4,16,1,9,1,11,1,16,4,17,1,16,2,11,1,16,2,17,6,13,2,9,2,11,1,12,1,17,2,12,1,11,1,12,1,11,1,12,3,10,1,9,1,11,1,12,1,10,1,11,1,10,1,12,1,11,3,9,1,12,6,10,1,11,1,10,2,17,4,12,1,9,1,11,1,8,1,11,1,10,1,9,3,8,1,13,1,8,1,11,1,8,1,13,1,9,3,13,1,9,2,13,1,9,1,13,1,10,1,9,1,13,1,10,1,9,1,10,1,9,1,13,1,11,1,13,1,10,1,8,1,9,1,11,1,8,1,13,1,9,1,7,1,9,1,10,1,11,2,16,2,11,1,16,1,9,1,16,1,9,1,11,3,9,1,16,2,11,1,9,1,16,1,11,2,9,3,11,1,9,1,13,1,11,1,9,1,8,1,9,5,11,2,9,3,11,1,9,1,10,1,11,1,10,1,11,1,9,1,11,2,9,1,16,1,11,2,9,1,16,1,11,5,10,1,9,2,13,1,9,5,10,1,9,1,8,1,9,3,13,1,9,1,13,3,9,4,10,1,9,1,10,1,9,3,8,1,9,1,11,5,16,1,11,1,16,1,17,6,16,1,17,5,16,1,17,1,16,2,17,1,16,1,17,2,16,1,17,10,16,1,17,1,16,3,17,1,16,1,17,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,2,11,1,16,2,11,1,16,4,17,1,16,4,11,1,16,2,17,1,11,2,16,3,17,3,16,1,17,4,16,1,17,1,13,1,30,1,28,3,30,1,28,9,13,1,17,1,10,1,12,1,17,2,12,1,10,1,8,1,13,1,7,1,6,1,29,1,30,1,6,1,7,1,6,1,29,1,13,1,9,1,24,1,12,1,9,2,17,1,12,1,17,1,11,2,9,1,13,3,30,1,28,1,7,1,9,1,17,7,9,1,13,1,28,1,5,29,28,2,6,1,29,1,28,1,9,1,17,1,11,1,17,5,11,1,12,1,11,2,17,3,10,1,11,1,12,1,8,1,12,1,9,1,10,1,17,1,10,1,24,1,12,1,17,1,14,1,15,1,17,1,8,1,13,1,8,1,9,1,12,1,9,1,17,6,10,2,9,1,10,2,9,1,12,1,8,1,7,1,24,1,8,2,9,1,13,3,24,1,13,2,9,1,24,1,8,1,12,1,9,1,8,1,17,5,12,1,17,8,9,1,8,1,24,1,8,1,12,1,17,3,13,1,29,1,6,1,13,1,12,1,17,1,9,1,7,1,12,1,24,1,12,1,8,1,13,1,}, {6,1,29,1,13,1,7,1,8,1,13,1,12,1,6,1,14,1,24,1,10,1,6,1,30,2,7,2,6,1,13,1,9,1,15,3,9,1,13,2,10,2,11,1,17,1,12,1,8,1,13,1,8,1,6,1,9,1,15,1,8,1,13,1,24,1,13,1,8,1,13,1,8,1,7,1,29,1,24,1,13,1,10,1,8,1,12,2,13,2,24,1,8,2,9,1,12,1,9,1,15,1,9,1,11,1,9,1,13,1,8,2,24,1,8,1,9,1,15,1,8,1,14,1,15,1,10,1,9,1,8,1,6,1,24,1,13,2,6,1,9,1,14,1,15,1,14,1,9,1,8,1,13,2,6,1,8,1,7,1,8,1,6,1,14,2,24,1,8,1,13,1,9,2,10,1,15,1,14,2,17,1,14,1,10,1,11,2,9,1,16,1,17,12,16,1,9,1,17,1,11,1,10,1,12,1,16,1,10,1,12,1,16,1,9,1,17,1,9,1,17,2,11,1,17,1,11,1,17,1,12,1,17,2,16,1,17,22,16,1,17,12,9,1,7,1,29,1,13,1,6,1,13,1,30,1,28,27,30,1,28,7,6,2,13,1,15,1,9,1,13,1,8,1,9,2,11,1,9,1,16,1,17,2,16,1,24,1,9,1,24,2,8,3,9,1,24,1,8,1,13,1,8,1,9,1,13,5,6,1,7,1,9,3,16,1,14,3,6,1,28,6,30,1,29,1,30,1,28,5,17,1,11,1,17,13,16,3,11,1,16,7,11,1,8,1,9,1,13,2,9,2,11,1,13,1,11,2,9,1,13,1,9,3,13,2,9,4,13,1,9,4,11,1,9,4,11,1,16,1,11,1,16,2,11,1,16,2,11,1,16,13,11,1,9,4,11,1,9,2,16,2,9,4,16,1,9,5,13,2,9,2,13,1,9,3,16,9,17,1,16,1,11,1,9,4,11,1,16,1,11,1,9,3,11,2,9,1,11,1,16,14,11,1,16,3,11,1,16,1,11,1,9,1,11,2,9,1,11,1,9,1,16,1,8,1,9,1,11,2,16,1,11,1,16,7,17,4,16,1,17,2,16,1,17,2,16,1,17,10,16,2,17,2,16,1,17,1,16,9,17,8,16,1,17,1,16,8,9,1,11,2,16,1,9,1,11,3,16,1,9,1,16,1,9,1,11,2,9,5,11,2,13,1,11,1,9,1,11,2,9,3,13,1,9,1,11,1,10,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,11,3,9,1,11,1,16,1,11,3,16,3,17,1,16,1,17,3,16,1,17,2,16,1,17,3,16,2,17,1,16,1,17,1,16,5,17,9,16,1,9,1,17,1,16,2,9,1,12,1,11,1,17,1,11,1,9,1,8,2,9,2,6,3,28,1,13,1,29,1,30,3,29,1,6,1,30,1,6,1,13,2,7,1,13,1,8,1,13,1,8,2,9,1,13,3,9,5,8,2,9,4,17,6,16,2,17,5,16,1,17,1,16,5,17,1,16,2,11,1,17,1,11,1,16,2,9,1,17,1,16,1,11,1,16,1,11,2,17,1,9,1,16,2,11,1,17,1,16,1,11,1,16,1,11,3,16,1,11,5,16,3,11,4,16,1,11,2,17,1,16,3,11,1,16,1,8,1,16,1,17,1,11,1,16,2,11,2,9,1,11,2,16,1,11,1,16,4,11,1,16,4,9,2,11,2,9,2,11,2,16,2,17,1,16,1,11,1,9,1,16,2,9,3,11,1,16,1,9,2,16,1,9,1,11,4,9,1,11,1,13,1,9,1,11,2,8,1,9,2,8,1,16,1,10,1,11,1,10,1,9,1,16,1,11,1,9,1,10,1,9,1,10,1,9,2,11,2,10,1,13,1,9,1,11,1,13,1,9,1,11,1,8,1,16,1,9,1,11,1,9,1,10,1,9,1,11,3,9,2,11,1,9,1,11,1,16,2,11,2,16,1,11,1,9,1,11,1,16,1,11,3,16,1,11,4,9,1,16,1,11,3,17,2,16,3,17,1,16,1,11,1,16,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,16,11,11,1,17,9,16,1,17,1,16,1,17,1,16,1,11,1,16,3,11,1,17,4,11,3,9,1,13,1,8,1,9,2,12,1,13,1,9,1,6,2,13,1,7,1,29,1,13,1,9,3,8,2,9,2,13,1,8,1,9,1,10,1,16,1,13,2,11,2,12,1,17,70,16,1,17,1,16,1,17,3,16,3,17,8,16,1,17,3,16,5,17,1,16,3,17,2,16,1,17,1,16,1,17,5,16,1,17,14,16,1,17,1,16,2,17,1,16,1,9,4,11,1,9,8,11,1,9,4,8,1,13,1,8,1,13,3,8,3,11,1,9,2,11,1,9,1,8,1,11,1,9,1,11,1,10,1,9,4,11,2,9,3,13,1,11,1,9,1,11,1,9,1,16,1,9,3,13,1,9,1,11,2,9,1,11,1,9,1,16,1,11,1,8,1,9,2,8,1,9,1,13,1,9,1,11,1,9,1,8,1,11,1,9,6,16,1,9,1,11,1,9,1,11,1,13,1,9,1,8,2,10,1,13,1,8,1,13,5,9,2,8,1,9,3,8,1,9,4,11,1,9,3,13,1,8,1,9,4,8,1,9,1,11,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,1,16,1,8,1,13,1,11,1,9,5,13,1,10,1,9,1,8,1,13,1,9,2,8,1,11,1,13,3,8,1,9,4,8,1,9,1,11,2,13,1,9,1,8,1,11,3,16,2,17,1,16,1,11,2,16,2,11,2,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,3,9,1,11,1,16,1,10,1,16,2,9,1,16,3,9,1,8,1,9,2,16,1,11,1,9,2,16,1,9,2,10,1,16,1,9,2,8,1,11,1,9,2,16,1,9,1,11,1,9,1,10,1,9,2,16,1,10,1,9,1,8,1,9,4,13,1,9,3,8,1,9,7,11,1,9,1,13,1,8,2,13,1,9,1,13,3,9,2,13,1,9,2,13,1,9,1,13,1,9,1,8,2,13,1,9,1,8,1,13,1,9,2,11,1,9,1,13,2,9,1,13,1,8,1,9,1,8,1,9,2,11,1,9,5,10,1,8,1,13,1,9,1,8,1,13,4,9,1,13,5,8,2,13,3,9,1,13,1,9,1,13,1,9,1,8,3,9,2,8,1,9,1,8,1,9,2,11,1,9,2,8,1,13,1,8,1,9,1,13,1,8,1,9,3,10,1,11,1,9,2,11,3,9,1,11,1,8,2,9,1,11,2,8,1,9,1,11,1,13,1,11,2,9,1,13,1,11,1,8,1,9,1,7,1,8,1,9,1,13,5,7,1,13,4,9,1,16,1,11,2,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,2,13,1,8,2,13,2,10,1,13,1,11,1,9,2,13,1,9,2,8,1,13,1,9,2,13,1,8,2,13,1,9,7,13,3,17,1,12,2,9,1,12,1,10,1,9,2,8,1,9,1,24,1,9,1,8,2,24,1,8,2,13,1,8,2,6,1,13,2,8,1,24,1,6,1,8,1,24,1,7,1,24,1,8,1,13,2,8,2,13,1,6,1,8,3,13,2,24,1,8,1,13,1,24,6,12,1,13,2,24,2,10,1,24,2,8,1,9,1,8,2,24,1,8,1,24,1,8,1,10,2,9,2,24,1,8,1,13,1,6,1,8,1,7,1,6,2,29,1,30,3,8,3,28,8,7,1,13,1,8,2,9,1,10,1,12,2,10,1,9,1,17,2,12,1,17,8,11,1,12,1,11,2,10,1,11,2,10,1,11,1,10,1,9,1,10,1,9,1,11,2,12,1,11,1,10,1,12,1,10,3,9,1,11,1,9,1,24,1,8,1,10,1,24,1,8,4,9,1,8,1,13,1,24,1,9,2,12,1,24,2,8,2,9,1,13,1,24,1,13,1,8,1,24,1,8,2,24,1,9,1,24,1,8,1,9,2,13,1,8,1,9,2,13,1,9,3,11,1,12,1,9,1,13,1,9,2,8,1,12,1,9,1,8,1,9,2,24,1,9,1,24,1,8,1,13,1,8,1,13,2,8,1,13,1,8,1,7,1,8,1,13,1,24,1,9,1,7,1,8,1,13,1,9,1,24,3,13,1,7,1,13,1,24,1,9,1,8,1,9,1,24,1,9,1,8,1,9,2,24,1,9,2,8,1,10,1,9,1,10,2,11,1,9,1,10,1,8,1,24,1,13,1,9,1,11,1,13,1,9,1,8,1,11,1,9,2,8,2,9,2,8,1,24,1,9,6,13,1,10,1,8,1,9,1,10,1,12,1,9,3,11,1,9,1,12,1,9,1,10,1,9,1,11,2,8,2,9,1,8,1,9,2,8,1,9,1,8,2,9,1,10,1,9,2,8,2,9,1,8,1,10,1,11,1,10,1,9,1,10,1,9,2,11,2,9,1,11,1,9,1,10,1,11,1,9,3,11,1,10,1,11,1,9,1,11,1,9,1,13,1,9,5,13,1,8,1,9,1,17,1,12,1,10,1,17,3,12,1,17,2,11,1,17,1,9,1,10,1,9,4,13,1,30,1,7,1,6,1,13,3,9,1,13,2,8,1,13,2,8,1,9,1,8,1,9,1,13,7,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,11,1,10,1,9,1,11,1,10,1,11,1,16,1,11,1,16,1,10,1,9,3,13,1,9,7,13,2,9,1,13,3,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,2,8,1,13,2,8,1,9,3,13,1,9,4,11,1,9,1,10,2,11,2,16,1,11,1,16,1,9,1,11,1,9,1,11,4,16,1,11,1,16,1,17,1,16,1,17,1,16,3,17,3,16,2,17,1,11,1,9,1,11,1,9,1,17,4,12,3,17,1,12,1,11,2,9,1,12,1,10,1,12,1,10,2,11,3,9,2,10,1,11,1,9,3,12,1,9,2,10,3,17,2,12,1,10,1,12,1,8,1,9,1,10,1,9,1,13,2,9,3,8,1,13,1,9,4,13,1,8,1,6,1,8,2,10,1,13,2,9,1,8,1,9,2,7,1,8,1,10,1,9,2,8,1,9,2,13,1,9,2,8,1,9,1,13,2,9,2,16,1,11,1,17,1,11,1,16,4,11,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,16,2,8,1,11,3,9,1,11,1,9,4,11,1,9,1,11,1,16,1,9,1,11,1,9,1,11,2,9,1,11,1,10,1,11,2,9,1,11,6,9,2,16,1,9,1,11,2,16,1,9,2,11,1,9,4,11,2,9,7,8,1,9,1,13,1,9,3,8,2,9,1,11,1,10,1,9,1,13,1,9,3,13,1,9,1,13,1,8,1,9,2,8,1,11,3,16,1,11,2,16,1,11,2,16,1,11,1,16,3,17,1,16,5,17,1,16,1,17,5,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,2,17,1,16,3,17,1,16,1,11,1,16,1,11,3,16,2,17,1,16,1,11,1,16,5,11,1,9,1,16,2,11,3,16,6,17,4,16,1,17,3,11,1,17,1,8,1,30,1,28,11,30,1,28,1,13,1,17,1,12,1,11,1,10,1,12,1,24,1,11,1,24,2,7,2,29,1,30,1,29,2,6,1,30,1,8,1,13,1,8,1,9,1,11,1,9,1,17,3,12,1,9,1,24,1,7,1,13,1,8,1,6,1,13,1,30,1,13,1,9,1,17,8,9,1,6,1,5,28,28,2,13,1,28,1,30,1,17,2,16,1,17,6,16,2,17,4,16,1,10,2,9,1,12,1,17,1,9,1,15,1,10,1,17,1,9,2,14,2,10,1,24,1,9,1,24,1,12,1,11,1,10,1,17,3,9,1,11,1,12,2,11,1,17,2,10,1,9,1,24,1,10,1,8,2,10,1,13,1,24,2,8,1,13,1,8,1,13,2,9,1,10,1,9,1,8,2,10,1,9,1,17,4,12,1,17,8,12,1,9,1,8,1,24,1,12,1,17,2,24,1,6,1,13,1,7,1,8,1,9,1,10,1,8,1,13,1,8,1,9,1,10,1,13,1,8,1,}, {7,1,30,1,29,1,7,1,13,2,10,1,6,1,9,1,14,1,24,1,8,1,28,1,30,1,6,1,28,1,6,1,8,2,9,1,15,2,17,1,6,1,9,1,24,1,10,1,12,1,17,1,10,1,24,1,8,2,6,1,9,1,12,1,8,1,24,1,9,2,8,1,7,1,6,2,8,1,6,1,10,1,9,1,10,1,8,1,24,1,6,1,8,3,13,1,24,1,10,2,14,2,24,2,11,1,7,1,13,1,8,1,12,1,15,1,11,1,9,1,15,1,14,2,13,1,8,1,7,1,8,1,6,1,13,1,9,2,17,1,15,1,9,2,8,1,24,1,6,1,8,2,6,1,13,1,10,1,17,1,14,1,24,2,13,1,15,1,24,1,12,1,17,2,16,1,17,1,16,1,9,1,16,1,9,2,16,1,17,12,11,1,17,2,9,1,11,1,17,1,9,1,17,1,16,1,17,1,16,1,10,1,17,1,11,1,16,1,17,1,16,1,17,2,16,1,9,1,17,37,8,1,6,4,7,1,30,1,28,34,6,1,29,1,28,1,8,1,15,1,24,1,13,1,8,1,9,3,11,1,17,3,16,1,8,3,24,1,9,1,8,1,13,1,8,1,6,1,8,2,24,1,6,2,13,3,7,1,29,1,6,1,11,1,14,1,12,1,16,1,14,2,16,1,13,1,28,3,30,1,28,2,6,1,28,7,17,2,16,2,17,9,16,6,17,1,16,5,11,1,9,1,8,1,9,1,13,2,9,1,11,2,9,3,6,1,13,1,9,2,13,1,9,1,8,1,13,2,8,1,9,1,13,1,9,1,8,1,9,1,13,1,9,2,11,1,13,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,5,11,1,16,5,11,1,16,5,9,2,16,1,11,3,16,4,11,2,9,1,11,1,16,1,9,3,11,1,13,1,9,4,13,1,11,1,16,3,17,2,16,1,11,1,16,3,11,1,9,4,13,1,9,3,16,1,9,1,11,1,16,1,9,1,11,1,16,1,17,1,16,8,11,2,16,8,11,2,16,1,9,3,11,2,16,1,9,1,11,2,16,3,17,1,16,3,17,3,16,1,17,1,16,2,17,1,16,2,17,1,16,2,17,4,16,1,17,4,16,5,17,2,16,4,17,2,16,2,17,1,16,1,17,5,16,1,17,1,16,1,17,1,16,7,11,1,16,2,11,2,16,2,11,1,9,3,16,1,9,2,11,1,17,1,11,1,16,1,11,2,9,1,11,2,9,2,16,1,9,5,11,1,9,4,11,3,16,1,9,1,11,1,9,1,11,3,16,1,9,1,16,7,17,1,16,2,17,4,16,4,17,1,16,1,17,2,16,5,17,1,16,5,17,9,11,2,16,1,11,1,9,1,16,1,8,1,9,1,11,2,13,1,9,1,8,1,13,2,7,1,6,1,28,1,29,1,30,4,29,1,30,1,6,1,8,1,13,1,24,1,13,3,8,1,6,1,9,1,13,1,9,1,8,1,11,1,13,1,9,6,8,1,9,1,11,1,17,6,16,2,17,1,16,1,17,1,16,11,17,1,16,3,17,1,16,2,11,1,17,1,10,1,16,1,11,1,16,4,17,1,11,1,16,4,9,1,16,2,11,1,9,1,11,1,16,1,11,1,16,2,10,1,16,1,10,1,11,1,9,1,11,1,16,3,9,1,16,1,9,1,11,1,16,1,11,2,16,1,10,1,16,3,11,1,16,10,17,1,16,1,11,3,9,2,11,1,9,1,11,1,9,2,16,1,9,1,16,3,10,1,16,1,9,3,10,1,11,2,9,2,11,1,16,1,11,3,9,2,11,1,10,1,9,2,11,1,9,2,11,1,9,2,11,1,9,1,11,1,16,1,11,4,16,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,8,1,11,1,16,1,9,1,11,3,9,1,16,1,11,3,16,1,11,4,16,2,11,4,16,1,11,1,16,1,17,1,11,1,16,1,11,2,16,6,11,2,16,1,11,1,16,1,9,1,16,2,10,1,11,1,16,3,11,1,16,5,17,6,16,1,17,7,16,1,17,1,16,2,17,6,11,1,9,3,13,2,8,1,11,1,17,1,13,1,9,1,6,1,8,1,13,1,6,2,13,1,8,1,9,2,10,1,9,3,16,1,10,1,17,3,9,1,11,2,17,73,16,1,17,1,16,1,17,10,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,3,16,11,17,2,16,1,17,2,16,2,17,2,16,2,17,1,16,1,17,6,16,1,17,1,16,3,17,2,16,1,8,1,9,5,8,2,9,1,8,1,9,3,16,1,8,1,9,4,13,3,9,1,8,1,9,1,13,1,8,1,13,1,9,2,11,1,9,3,11,1,9,5,16,1,11,4,9,1,16,1,8,1,16,2,11,1,6,1,13,1,9,1,11,1,9,2,11,1,10,1,9,1,11,1,9,4,8,1,13,2,9,5,11,1,9,6,11,1,9,1,11,2,16,1,9,2,8,1,9,1,11,1,13,1,8,1,13,1,9,2,8,1,13,1,9,5,11,1,9,1,10,2,9,3,13,1,16,1,8,1,9,4,16,1,9,1,10,2,9,1,13,2,9,2,13,1,9,1,8,1,9,1,11,1,9,1,10,1,9,1,13,1,9,2,11,1,8,2,9,2,8,1,9,1,13,1,9,3,13,1,8,1,13,2,9,2,8,1,9,8,10,1,9,1,16,4,17,1,16,2,11,1,16,1,9,4,11,1,9,3,11,1,9,2,11,1,9,8,16,1,9,2,11,3,16,1,9,1,11,1,16,4,9,1,16,1,11,1,9,5,16,1,9,1,10,1,9,2,16,1,11,1,9,1,11,1,8,1,11,2,9,1,16,1,11,1,9,5,11,1,10,1,9,6,11,1,9,2,8,1,11,2,9,1,10,1,11,1,9,1,13,1,6,1,9,1,8,1,13,1,9,1,13,1,8,1,13,1,9,4,13,1,9,1,8,1,9,1,13,1,8,1,9,1,13,2,8,1,9,3,13,1,9,5,8,1,9,2,11,1,13,1,9,2,11,1,13,1,8,1,9,1,13,6,9,1,8,1,13,4,9,1,13,1,8,1,13,2,9,2,13,3,9,1,13,2,8,1,13,1,9,1,8,1,13,1,9,1,13,4,9,2,13,1,9,1,8,1,9,3,13,1,8,1,10,1,9,1,11,3,8,1,9,1,8,1,9,1,13,1,11,1,9,1,8,2,9,4,11,1,13,1,11,1,9,1,11,1,9,3,8,1,9,1,16,1,9,1,8,1,13,6,9,2,17,1,11,1,13,2,9,2,8,3,11,1,9,2,13,1,9,1,8,3,9,1,8,1,9,1,8,1,9,2,8,2,9,1,8,1,9,1,8,1,9,2,13,1,9,1,8,1,9,5,13,2,7,1,11,1,9,1,17,2,11,1,12,1,9,1,24,1,10,1,8,1,9,1,24,1,13,1,24,1,8,1,13,1,24,1,13,1,8,1,7,1,24,1,13,1,9,1,24,2,8,1,24,1,7,1,13,1,8,2,7,1,8,1,13,1,8,1,13,1,24,1,8,3,13,1,24,2,8,2,24,1,8,1,13,1,8,4,13,1,8,2,13,1,8,2,13,1,9,2,8,1,13,1,24,2,9,2,8,1,9,4,8,1,24,1,8,1,7,1,8,1,6,1,7,2,6,1,30,1,28,1,6,1,8,1,13,1,28,9,7,1,24,1,8,1,10,1,24,1,17,1,10,1,17,2,12,1,17,1,9,1,17,1,12,2,17,1,10,1,17,5,9,1,11,2,10,1,11,1,10,2,11,1,9,2,17,1,9,2,11,1,10,2,12,1,11,1,8,1,11,1,10,1,11,1,9,1,10,1,11,1,9,1,24,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,24,1,8,1,24,1,8,1,13,1,8,2,9,1,13,1,24,1,8,1,13,1,8,1,9,1,24,1,9,1,24,3,9,1,8,1,9,1,8,1,24,1,8,1,10,1,9,1,10,1,9,1,8,1,9,2,13,1,8,3,9,2,8,1,11,1,9,1,10,1,9,1,8,1,24,3,8,4,13,1,8,1,13,1,7,1,8,3,24,1,7,1,8,1,13,1,8,1,10,1,9,1,8,1,13,1,24,2,10,1,8,1,9,1,8,1,9,1,8,1,9,2,10,1,8,1,9,1,8,1,10,1,9,2,24,1,9,3,12,1,13,1,9,1,8,1,13,2,10,1,8,1,9,3,12,1,11,1,9,1,8,1,24,1,8,1,24,1,9,1,8,1,10,1,9,10,10,2,9,7,8,1,9,11,8,1,11,1,9,1,11,1,10,1,11,1,9,2,10,1,11,1,10,1,9,1,12,1,10,2,11,1,12,1,9,1,11,1,9,3,11,1,10,1,11,2,9,1,10,1,9,1,10,1,24,1,9,2,13,1,10,2,8,1,9,1,13,1,8,1,13,1,8,1,9,1,12,2,17,1,12,1,17,1,12,2,11,1,12,1,11,1,10,1,16,1,12,1,17,1,16,1,9,1,8,1,7,1,9,1,13,1,6,2,30,1,13,2,6,1,30,1,6,1,13,1,8,1,9,2,13,2,8,1,13,5,8,3,13,1,9,1,13,1,9,4,11,1,8,1,9,1,16,1,11,2,17,2,16,1,11,1,9,3,11,1,9,1,13,1,9,2,11,1,9,1,8,1,9,1,11,1,9,2,8,1,13,1,9,1,8,1,9,1,8,1,13,1,8,2,13,1,9,1,8,1,9,1,13,1,9,1,13,3,9,1,13,1,8,1,13,1,8,1,13,2,9,1,10,1,11,1,13,1,9,1,10,1,9,1,11,1,16,2,11,4,16,1,11,3,16,1,11,1,16,3,17,1,16,2,17,1,16,1,11,1,10,1,11,3,17,6,12,3,11,1,12,3,11,1,17,1,10,1,11,1,10,1,9,1,10,2,9,1,10,1,9,3,10,1,9,1,10,1,11,1,10,1,9,3,17,1,11,3,8,1,13,1,9,1,8,1,9,1,10,1,8,1,9,1,8,1,12,1,8,3,13,1,17,1,9,3,13,2,9,1,8,1,9,1,13,2,8,2,13,1,8,2,11,1,13,1,8,1,24,1,9,1,13,2,8,1,13,2,8,1,9,4,8,1,16,1,17,3,16,3,11,1,16,1,11,1,16,3,11,1,16,3,11,1,16,2,9,2,16,1,11,1,9,1,16,1,11,1,16,1,11,1,9,1,16,1,11,2,10,1,11,1,9,3,11,2,16,1,9,1,16,1,11,2,9,1,11,1,10,1,11,1,9,1,11,1,9,1,11,2,16,1,11,2,10,2,13,1,9,4,13,1,9,9,8,1,9,3,11,1,9,1,16,1,9,1,11,1,9,1,16,1,13,1,9,5,7,1,9,1,13,1,9,2,13,1,9,3,16,1,11,1,10,1,16,1,11,2,16,1,11,1,9,1,16,1,11,1,16,1,11,1,16,11,17,5,16,2,17,1,16,3,17,2,16,2,17,1,16,2,17,1,16,4,11,1,16,6,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,5,11,2,16,2,17,4,16,1,17,4,11,1,13,1,28,3,30,1,28,9,6,2,17,1,16,1,10,1,12,1,9,1,24,1,8,1,7,1,8,2,13,1,6,1,7,1,6,1,29,1,6,3,8,2,13,1,12,1,8,1,10,1,11,2,24,1,10,1,8,1,6,1,29,2,6,2,30,1,6,1,13,1,17,9,16,1,9,1,33,1,5,26,28,2,9,1,30,1,6,1,17,15,12,1,16,2,17,1,9,1,17,3,15,1,9,1,15,1,12,2,14,1,9,1,8,2,6,1,11,1,24,1,17,1,16,1,11,1,17,2,9,1,11,2,17,1,12,1,17,1,11,1,24,1,12,1,10,1,12,1,24,1,9,1,8,1,10,1,24,3,9,1,8,1,10,1,24,2,15,1,8,1,9,1,24,1,9,1,17,3,12,2,9,1,16,1,17,6,12,1,8,1,9,2,17,3,10,1,13,1,6,2,13,1,12,1,17,1,8,1,10,1,24,1,10,1,9,1,12,1,24,1,}, {6,1,7,1,6,2,8,1,24,3,15,1,11,1,8,2,30,1,6,1,7,2,13,3,14,1,11,1,14,1,10,1,9,2,8,1,10,1,9,1,17,1,9,1,8,2,13,1,8,1,24,1,9,1,8,1,24,1,9,2,8,1,7,1,6,1,7,1,6,1,7,1,10,1,24,1,8,1,10,1,9,1,6,1,8,1,13,2,24,1,10,2,15,1,14,2,15,1,9,1,13,1,8,1,13,1,9,1,15,1,14,1,9,1,10,1,15,1,16,1,13,1,9,1,13,1,8,1,13,1,8,2,6,1,9,1,17,1,11,1,17,1,8,2,9,1,13,1,12,1,9,1,24,1,13,1,8,1,17,2,10,1,9,1,8,1,24,1,9,1,17,2,14,1,17,1,14,1,16,1,12,1,9,2,24,1,16,1,17,11,16,1,12,1,11,1,9,1,11,1,17,1,16,1,17,3,10,1,17,1,9,1,17,1,11,1,12,1,17,3,11,1,16,1,11,1,17,20,16,1,17,4,16,1,17,11,8,1,6,1,28,1,6,2,8,1,30,1,28,35,30,1,28,1,13,1,9,1,10,1,9,1,8,2,9,2,10,1,17,3,16,1,9,1,24,1,9,1,24,1,9,2,7,1,8,2,13,1,8,1,13,1,8,1,9,1,7,1,8,1,6,1,13,3,15,1,10,1,15,1,17,1,14,3,6,1,28,1,30,1,28,4,6,1,30,4,28,3,11,2,17,11,16,5,17,1,16,1,11,1,17,1,16,3,11,1,8,2,9,1,8,1,9,2,13,1,9,2,13,2,9,4,13,1,9,1,8,1,13,2,9,1,13,1,9,1,13,1,9,2,11,1,9,1,16,1,9,2,11,1,16,5,11,1,16,1,9,1,11,3,16,3,11,2,16,6,11,2,9,5,16,4,11,2,9,1,11,2,9,1,11,1,9,2,13,1,9,1,11,1,9,3,16,7,9,5,11,1,9,1,11,1,9,2,11,1,9,2,11,3,16,4,17,2,16,4,17,1,16,4,17,1,16,1,11,1,16,3,9,1,16,2,11,1,9,1,16,1,9,1,11,1,16,1,11,1,16,6,17,2,16,6,17,1,16,1,17,2,16,2,17,5,16,1,17,3,16,1,17,1,16,1,17,2,16,5,17,2,16,1,17,1,16,1,17,3,16,1,17,1,16,1,17,7,16,1,17,1,16,2,17,2,16,5,11,2,16,2,11,1,16,2,9,2,16,1,11,2,16,2,9,1,16,1,9,2,11,1,9,5,11,2,9,1,11,1,9,2,13,1,9,1,11,1,9,1,11,1,16,3,9,1,11,2,16,3,9,1,16,2,11,1,16,6,17,1,16,2,17,3,16,1,17,2,16,1,17,2,16,4,17,2,16,5,17,2,16,1,17,9,16,1,17,1,16,1,17,1,11,1,12,1,17,2,9,1,8,1,9,2,8,1,6,1,13,2,6,1,28,1,6,1,29,1,28,2,6,1,28,1,6,2,29,1,9,1,13,3,9,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,13,1,9,1,10,1,9,1,13,1,11,1,9,1,17,6,16,10,17,4,16,3,11,1,16,1,11,1,17,1,16,4,11,1,17,1,16,1,17,1,11,1,17,1,16,2,11,1,16,5,11,1,16,1,9,1,11,3,16,2,11,2,16,1,11,1,16,2,11,1,16,1,11,1,9,1,17,1,11,1,16,1,11,1,10,1,16,2,17,1,16,12,17,1,16,3,11,1,9,1,10,1,9,6,10,1,11,2,9,1,16,1,9,1,16,1,11,4,10,1,9,1,16,1,11,3,16,1,11,1,9,3,11,3,13,1,11,2,8,1,13,1,11,1,9,1,11,1,9,2,11,1,16,1,9,2,11,1,9,1,16,1,11,1,9,1,11,2,8,1,9,2,16,1,11,1,9,3,16,1,11,1,10,2,9,2,10,1,8,1,11,2,10,1,16,1,8,1,11,1,9,1,11,2,9,1,11,2,16,1,11,5,16,1,11,1,9,1,11,2,16,1,11,3,16,1,17,1,11,1,17,1,16,3,11,1,10,1,16,4,17,1,16,3,11,2,16,1,11,2,16,1,11,1,16,1,11,2,16,2,11,1,16,1,17,6,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,2,17,6,16,1,11,1,8,1,13,1,8,1,9,1,12,1,17,1,9,1,8,3,13,1,6,1,13,3,8,1,10,1,13,2,8,1,13,1,9,1,11,3,10,1,12,1,17,47,16,1,17,30,11,1,16,1,11,1,17,1,11,1,16,1,17,1,16,1,17,4,16,1,17,1,16,2,17,3,16,2,17,1,16,10,17,1,16,1,17,2,16,3,17,2,16,1,17,2,16,1,17,3,16,1,17,1,16,1,17,2,16,4,17,2,16,1,9,5,13,1,9,3,8,1,11,2,8,1,9,7,13,3,11,1,8,1,9,1,8,1,13,1,9,1,10,1,9,9,11,1,16,1,9,1,16,1,11,2,16,1,11,1,16,1,9,1,11,1,13,1,9,1,8,1,9,2,11,1,9,2,11,1,9,6,8,1,13,1,8,1,9,1,11,1,10,1,9,2,13,1,9,3,11,1,9,1,11,1,9,3,11,1,8,1,11,1,9,2,8,1,9,1,8,2,9,4,10,1,9,1,11,1,9,1,8,1,9,2,11,1,9,1,8,1,9,1,8,1,9,3,13,1,9,5,11,1,8,3,9,3,8,1,9,2,13,1,9,3,13,1,9,4,10,1,9,1,8,2,9,1,13,1,9,4,10,2,8,1,9,2,11,1,9,2,11,1,9,2,11,1,9,1,11,5,16,2,17,2,16,1,11,1,16,1,11,2,10,1,9,1,11,1,9,2,11,1,9,4,16,1,9,2,10,1,11,1,9,3,11,1,9,2,10,1,11,1,16,1,11,1,16,2,10,1,11,2,10,2,11,1,9,3,11,1,9,1,8,1,11,1,10,1,11,1,9,3,16,1,9,1,13,1,11,1,9,4,11,1,16,1,13,1,11,1,9,2,11,3,9,1,13,1,8,2,9,2,13,1,10,1,11,2,10,1,11,1,9,1,10,1,16,1,9,2,13,1,8,1,9,1,13,1,9,2,10,1,8,1,9,2,8,1,9,1,8,1,13,1,9,3,10,1,13,1,8,1,9,1,8,1,11,1,9,3,8,1,13,1,9,5,11,1,16,1,9,1,11,1,9,1,11,2,9,2,13,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,9,1,13,2,8,3,9,1,16,1,9,2,8,1,9,2,13,1,10,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,2,9,2,13,2,9,2,13,1,9,4,11,1,9,1,16,1,11,1,13,2,9,3,8,1,11,1,9,4,13,1,9,2,11,1,13,1,9,2,8,2,9,2,8,1,9,4,8,1,13,4,9,1,11,1,17,1,9,4,10,1,9,1,8,1,9,1,13,1,8,2,9,5,10,1,8,1,9,4,13,1,8,1,13,1,8,1,9,1,13,1,9,2,8,1,9,2,8,1,9,4,6,1,13,1,9,1,17,1,11,1,9,1,17,1,9,2,24,1,9,2,11,1,8,3,24,2,8,1,24,1,8,3,24,1,8,1,13,1,8,2,24,1,13,2,8,1,7,1,8,1,24,2,13,1,8,4,24,1,8,1,13,1,24,1,9,1,8,1,13,2,8,2,9,1,13,1,24,1,9,2,13,1,8,1,9,1,13,1,9,1,8,2,24,3,9,1,7,1,9,1,8,1,10,1,24,1,9,1,24,1,9,1,8,2,7,1,13,1,8,1,7,1,13,1,7,1,28,1,30,1,29,1,24,2,29,1,28,8,29,1,8,1,7,1,24,1,10,1,12,1,9,1,12,1,17,1,24,1,9,2,24,1,17,3,12,1,17,7,11,4,12,1,11,1,12,1,11,1,10,2,9,1,10,1,17,1,9,1,10,1,11,1,9,2,10,2,9,1,11,2,10,1,8,1,9,1,24,1,9,1,13,1,9,2,13,2,8,1,13,1,8,4,13,1,7,1,8,2,24,1,13,1,8,1,13,2,8,3,13,2,24,1,8,1,9,1,24,1,8,2,9,1,8,1,9,1,10,1,8,1,24,1,9,2,8,1,9,2,11,2,24,1,13,1,9,1,10,1,9,1,24,1,8,1,9,1,24,1,6,1,8,1,13,2,6,1,8,1,7,1,13,2,8,1,13,1,8,1,13,1,6,1,8,1,17,1,10,1,24,1,13,1,9,1,10,1,9,1,24,1,10,1,13,1,9,1,8,1,9,2,8,1,9,2,24,2,9,1,8,2,10,1,9,1,8,2,9,1,8,1,9,1,8,1,9,1,11,1,9,1,8,1,11,1,8,1,9,2,8,1,10,1,9,1,10,1,9,2,8,1,9,2,8,1,9,1,11,1,8,1,9,4,8,1,10,1,8,2,13,1,8,1,9,1,11,1,9,3,10,1,11,1,9,7,10,1,9,2,10,2,9,1,11,1,10,2,9,1,10,1,11,2,9,2,17,1,10,1,9,1,17,1,11,1,9,1,12,1,8,1,9,1,12,1,9,1,11,2,10,1,11,1,9,4,8,1,10,1,9,3,8,1,9,3,8,4,10,1,8,1,11,1,17,1,11,1,12,2,11,1,9,1,12,2,11,2,12,1,11,1,17,2,9,1,8,1,29,1,6,1,13,1,28,1,6,2,30,1,6,1,13,1,8,1,6,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,9,5,8,1,13,1,8,1,9,1,13,1,9,2,13,1,8,1,11,2,16,1,9,1,11,4,9,1,11,1,9,2,11,1,10,1,11,1,8,1,9,1,11,1,9,1,8,1,9,12,8,1,13,7,8,2,13,3,9,2,11,1,10,1,9,1,13,1,9,1,13,1,6,3,13,1,9,1,11,1,10,1,11,1,16,2,11,2,16,2,17,1,16,1,9,1,11,1,16,1,17,1,11,1,9,1,10,1,11,1,9,1,11,1,16,1,17,6,12,4,11,1,10,1,12,1,10,1,9,2,11,1,9,4,11,2,9,2,10,1,9,3,11,1,9,3,13,1,9,1,10,1,13,2,8,1,11,1,9,2,8,1,11,1,10,1,12,1,9,1,12,1,11,3,12,1,17,1,11,1,10,1,13,1,8,1,13,1,8,1,7,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,10,1,8,1,7,1,9,1,13,1,9,1,24,1,9,1,8,1,13,1,9,2,11,1,9,1,11,1,9,2,11,2,17,1,16,2,17,1,16,3,11,1,16,2,11,2,17,1,16,2,11,2,16,1,11,2,9,3,16,1,11,1,16,1,11,1,9,2,16,1,11,4,17,1,16,1,11,6,16,3,11,2,9,1,11,1,16,1,11,2,16,1,9,2,16,1,17,1,16,1,11,1,9,2,11,1,9,9,11,2,10,1,16,1,11,1,9,1,11,1,10,1,9,1,11,3,9,14,11,1,9,3,10,3,11,3,9,2,11,3,9,1,11,2,9,1,11,2,16,3,9,1,11,1,16,3,17,1,16,3,17,1,11,1,16,4,17,1,16,1,17,3,16,2,17,1,16,3,17,1,16,6,11,1,16,1,17,1,16,14,17,1,16,2,17,3,16,1,11,1,28,14,6,1,9,1,17,1,9,3,8,1,13,1,7,1,13,1,8,4,7,1,30,1,6,4,13,1,8,1,10,1,13,1,24,1,8,1,10,1,24,1,9,2,13,1,30,1,28,1,30,1,29,1,6,1,29,1,6,1,13,1,16,1,17,9,16,1,11,1,30,1,13,1,33,1,5,23,28,2,13,1,30,1,8,1,17,2,16,1,17,5,16,1,17,1,16,1,17,5,9,1,11,1,16,1,17,1,12,1,17,1,16,1,12,1,10,1,15,1,17,2,15,1,10,1,13,1,10,1,12,2,15,1,9,1,17,3,11,1,17,1,9,1,17,1,11,1,17,1,12,1,9,1,8,1,13,2,9,1,24,1,10,1,8,1,24,1,12,1,13,1,8,1,24,1,8,1,24,1,17,1,8,1,15,1,9,1,8,1,9,1,12,1,17,3,12,1,11,1,9,1,11,1,17,4,11,1,17,1,12,1,10,1,9,1,10,2,9,1,17,1,24,1,7,1,6,2,8,1,12,1,15,1,8,1,6,1,24,1,10,1,9,1,8,2,}, {13,1,7,1,29,1,7,1,9,1,8,1,6,1,8,2,15,1,8,2,13,1,28,1,6,3,13,1,10,1,15,1,9,1,14,1,16,2,9,2,10,1,17,1,11,1,12,1,24,1,8,1,13,1,10,1,7,1,9,1,24,1,8,1,12,2,8,1,7,1,6,1,13,1,8,1,9,1,10,1,24,1,8,1,13,1,24,1,8,3,13,1,9,1,24,1,14,1,10,1,14,1,15,1,12,1,9,1,13,1,24,1,6,1,17,1,14,1,10,1,14,1,13,1,9,1,14,1,8,1,10,1,13,1,9,1,8,1,9,1,8,1,10,1,9,1,12,1,17,1,9,2,13,1,8,1,24,1,9,1,12,1,8,1,13,1,8,1,14,1,17,1,10,1,9,1,24,1,12,1,15,1,17,3,12,1,17,1,11,1,10,1,17,1,11,1,17,12,16,1,17,4,16,1,17,7,12,1,17,1,16,1,17,1,11,1,17,1,16,1,12,1,17,11,14,1,17,27,9,1,13,1,7,1,6,1,13,1,6,1,30,1,28,34,30,3,13,1,12,1,9,1,12,1,13,1,16,1,8,1,10,1,11,1,17,1,14,1,16,1,9,1,10,1,24,1,13,1,9,2,24,1,13,2,7,1,8,5,13,1,8,1,13,2,7,1,6,1,24,1,12,2,11,1,17,1,14,2,6,1,28,6,30,3,28,1,29,1,28,3,8,1,11,1,17,11,16,1,17,1,16,3,17,2,16,5,8,1,13,4,9,1,13,1,9,1,13,1,9,3,8,1,13,1,9,2,13,2,9,2,13,1,9,3,13,2,9,5,11,1,9,1,11,1,16,5,11,2,16,6,11,1,16,1,11,1,16,1,11,2,9,2,11,1,9,2,13,1,9,2,16,5,11,1,9,4,16,1,9,2,11,2,9,1,11,1,9,1,11,2,9,1,16,3,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,4,11,1,16,5,17,2,16,2,17,2,16,2,17,1,16,6,11,2,16,4,11,2,16,2,9,1,11,1,16,4,17,1,16,1,17,1,16,1,17,2,16,1,17,1,16,2,17,1,16,3,17,12,16,1,17,7,16,1,17,3,16,1,17,8,16,1,17,1,16,1,17,2,16,1,17,4,16,1,17,1,16,2,17,2,16,2,11,1,16,4,11,1,16,1,9,1,16,1,11,1,9,1,11,1,16,6,11,1,9,2,11,1,13,1,9,1,11,1,9,3,11,2,9,1,11,1,16,1,9,2,11,2,16,8,11,1,16,3,11,1,9,1,16,1,11,1,16,4,17,1,16,3,17,1,16,1,17,1,16,4,17,1,16,1,17,2,16,11,17,11,11,1,16,2,11,1,9,4,8,2,9,1,7,1,13,2,6,3,29,1,6,1,30,1,6,1,28,1,13,1,6,1,7,2,6,1,13,1,8,1,13,1,8,1,9,1,8,3,13,1,8,2,13,1,9,2,13,1,8,1,9,5,17,4,16,5,17,1,16,5,17,1,16,2,17,1,16,6,17,1,16,1,17,1,16,1,11,2,16,7,11,1,17,1,16,2,11,1,16,2,11,1,9,1,16,1,11,3,16,1,17,1,11,1,16,1,11,1,16,2,11,1,16,5,11,1,16,5,11,3,16,1,17,1,16,1,17,1,16,1,11,2,16,1,17,2,16,2,11,4,9,2,10,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,16,1,9,1,11,1,9,2,11,1,16,1,9,1,11,2,9,6,11,1,9,2,10,1,9,1,8,1,11,1,9,2,10,2,11,1,8,1,10,1,11,2,8,1,9,3,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,2,10,1,11,1,9,1,10,1,9,3,8,1,9,1,16,1,11,1,9,1,16,1,10,1,16,3,11,1,9,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,2,10,1,16,4,11,1,16,2,9,1,17,1,9,1,17,1,16,2,17,1,16,3,17,1,11,1,16,1,11,3,16,3,11,2,16,7,17,5,16,1,17,5,16,2,17,11,11,1,13,2,9,2,16,1,11,1,16,1,9,1,13,2,8,1,9,1,11,1,10,1,9,6,11,1,8,1,11,1,8,1,9,1,17,94,13,1,11,1,17,5,16,1,17,1,16,4,11,1,16,6,17,2,16,1,17,2,16,1,17,1,16,1,17,7,16,1,17,2,16,1,17,2,16,1,17,4,11,2,9,1,11,1,9,1,10,1,9,4,11,1,9,1,11,2,9,2,11,1,10,1,9,1,8,2,11,1,9,3,13,1,8,1,9,2,8,1,9,1,8,1,9,3,11,1,9,1,11,3,9,2,11,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,11,3,9,1,10,1,11,1,10,1,9,2,16,1,10,1,13,1,9,1,13,2,9,1,8,1,9,3,8,1,9,1,11,2,9,1,11,1,9,1,8,1,9,3,10,1,9,2,16,1,11,1,9,6,13,1,9,3,16,1,9,1,11,1,9,2,8,1,9,1,8,1,9,6,10,1,8,1,9,1,11,1,9,3,13,2,8,1,9,6,8,1,11,1,9,1,11,1,9,2,11,1,9,1,11,2,10,1,9,3,8,1,9,1,11,1,16,1,9,1,11,1,10,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,11,1,16,3,17,1,16,1,17,1,9,1,10,1,11,1,16,2,11,1,9,1,11,2,9,2,11,1,10,1,16,1,9,1,11,1,9,3,16,1,9,1,16,1,11,3,9,1,11,1,16,1,11,1,10,1,11,1,16,2,9,2,16,1,11,2,9,1,11,3,10,1,9,4,16,1,9,1,10,1,9,1,11,2,16,1,11,1,9,2,11,1,9,1,10,1,9,3,11,1,9,2,11,2,13,1,9,2,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,13,2,8,1,9,2,10,1,9,2,11,1,9,2,8,1,11,1,9,5,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,4,8,3,9,4,10,1,11,2,9,1,11,3,9,2,8,1,10,1,13,1,9,1,8,1,13,1,9,1,8,2,9,1,13,1,9,1,8,1,16,1,13,1,9,1,8,1,9,7,8,1,9,2,8,2,9,1,11,1,13,1,8,1,9,1,8,1,9,1,8,1,10,1,8,1,9,2,8,2,16,1,10,1,9,6,13,2,9,1,11,1,9,3,13,1,9,1,8,1,9,3,8,3,9,9,13,1,8,2,13,2,11,1,16,2,9,1,8,2,11,1,10,1,9,3,13,1,9,1,8,2,9,1,8,1,10,1,8,1,9,4,8,3,13,1,9,1,13,2,6,1,13,2,8,3,9,1,8,2,9,1,6,2,13,1,17,2,12,1,10,1,9,3,24,2,8,1,13,1,9,1,24,2,13,1,8,1,7,1,9,1,13,1,24,1,13,3,10,1,24,1,8,3,13,1,8,1,7,1,24,1,8,1,13,2,9,1,8,2,13,1,24,2,8,1,24,1,10,1,13,2,8,2,9,1,8,2,24,1,13,3,24,1,10,1,11,1,8,1,9,1,8,1,24,1,13,1,24,1,9,2,8,3,9,1,10,1,9,1,8,1,24,1,8,1,13,1,6,1,8,1,7,2,13,1,6,1,29,1,30,1,8,1,6,1,28,8,29,1,30,1,13,1,24,2,8,1,9,1,10,1,8,1,24,2,10,1,17,1,11,1,17,1,10,1,17,1,12,1,17,1,12,1,17,5,11,1,10,1,11,1,9,1,11,3,16,1,10,1,9,1,12,1,11,2,9,3,10,1,11,1,9,3,10,1,12,1,11,1,8,1,9,1,13,1,8,2,9,1,8,1,13,1,24,1,9,1,13,3,7,1,24,1,8,1,6,1,24,1,8,1,13,3,8,3,9,1,8,1,10,1,13,1,8,1,13,1,24,2,8,2,9,2,13,1,8,3,9,1,8,2,9,2,11,1,12,1,9,1,24,1,9,1,8,1,10,2,24,1,7,1,8,1,13,3,7,2,8,1,7,1,13,1,6,1,7,1,13,3,6,1,11,1,8,3,13,1,8,1,9,1,8,2,9,1,24,2,6,1,8,1,9,2,13,2,8,2,13,1,9,3,13,1,9,1,10,1,8,2,9,1,13,1,9,2,8,2,13,1,10,1,9,1,13,1,9,2,13,1,24,1,8,1,9,1,13,1,8,1,9,1,8,2,9,1,10,1,9,6,8,2,9,2,11,2,9,5,13,2,9,2,8,1,9,2,11,2,10,2,9,2,12,1,13,1,11,1,10,2,9,2,11,1,10,2,11,1,10,1,11,1,12,1,10,1,11,1,10,1,9,1,10,2,17,1,11,1,9,1,11,1,9,3,10,1,8,1,9,3,8,1,9,3,10,1,9,4,8,1,9,3,13,1,9,1,10,1,7,1,10,1,11,1,10,1,11,2,9,1,17,3,9,1,17,1,12,1,9,2,13,2,30,1,6,1,7,1,6,1,13,3,30,1,8,2,13,2,9,1,8,2,13,1,9,3,8,1,9,1,8,1,13,1,9,1,8,1,11,1,16,1,11,1,16,1,10,1,11,3,9,1,10,2,16,1,11,1,9,3,11,1,9,1,8,1,9,3,11,2,10,1,11,1,9,1,8,1,9,1,11,1,13,2,9,1,11,1,9,6,8,3,13,1,9,1,8,1,9,1,11,1,17,1,10,2,12,2,9,1,17,1,11,1,13,2,30,1,13,1,9,2,11,2,16,1,11,1,16,2,13,1,11,2,16,1,17,2,16,1,9,1,10,1,11,2,16,1,17,7,12,1,11,2,12,2,11,1,9,1,11,1,12,2,11,1,9,5,8,3,9,3,13,1,9,1,13,3,9,1,13,1,9,2,12,1,10,1,9,1,10,2,9,1,12,1,11,1,12,1,24,1,11,1,17,1,9,1,12,1,10,2,11,1,12,1,11,1,9,1,8,1,13,1,8,1,9,1,13,3,6,1,9,1,13,1,8,1,13,4,9,1,10,1,9,3,8,5,9,1,10,1,9,1,11,1,9,1,17,4,16,7,17,1,16,1,17,3,16,3,11,1,16,2,11,1,16,1,9,3,11,1,9,1,11,2,9,1,16,2,11,6,16,2,11,1,16,1,11,1,9,1,11,3,9,2,11,4,9,2,11,1,16,1,9,1,11,2,9,2,13,1,9,1,13,1,11,1,8,1,9,1,11,1,9,1,10,1,9,3,16,1,11,2,9,1,10,1,11,1,9,4,8,1,9,2,13,1,9,9,11,1,9,4,11,1,9,2,11,3,16,2,11,1,9,1,11,2,9,1,11,3,16,1,11,1,16,3,9,1,11,3,16,2,11,1,17,1,16,2,17,1,16,2,17,2,16,6,17,2,16,1,17,1,16,1,17,2,16,1,17,2,16,2,17,1,16,4,17,1,16,7,17,7,16,1,11,1,28,15,9,1,17,1,10,1,17,1,10,2,29,1,13,1,29,1,6,1,13,4,6,1,13,1,6,1,29,1,6,1,13,1,7,1,24,1,13,1,12,2,11,1,9,1,10,1,9,1,6,1,28,4,29,1,7,1,6,1,8,1,9,2,17,10,11,1,30,1,28,1,30,1,5,21,28,2,30,1,13,2,8,1,17,8,16,1,17,6,12,1,17,1,16,1,9,1,12,1,10,1,11,1,12,1,9,3,15,1,17,1,15,1,10,1,8,2,9,1,24,1,12,1,16,1,17,3,8,1,11,1,9,1,10,1,12,1,17,1,10,1,12,1,24,1,13,1,8,2,10,1,9,1,8,2,9,1,8,1,9,1,8,1,9,2,24,2,10,1,14,1,12,1,9,1,16,1,17,4,9,1,11,1,16,1,17,3,16,1,11,1,17,2,12,1,10,1,9,1,10,1,12,1,17,1,13,1,30,1,13,1,7,1,8,1,12,1,17,1,8,1,13,2,12,1,9,1,24,1,8,1,}, {6,2,29,1,7,1,24,4,12,1,14,1,10,1,8,2,6,1,13,1,7,1,13,2,6,1,24,1,17,1,14,1,16,1,12,1,8,1,12,1,9,1,16,1,17,1,9,1,24,1,15,1,24,1,8,1,12,1,9,1,24,2,8,2,13,1,30,1,6,1,24,1,8,1,24,6,9,1,7,1,24,1,7,1,9,1,14,2,17,1,12,1,17,1,8,1,15,1,9,1,24,1,9,1,15,1,11,1,15,1,16,1,9,1,17,2,16,1,8,2,9,1,12,1,13,1,10,2,12,1,17,2,16,1,15,1,9,2,8,1,10,1,9,1,12,1,24,1,8,1,14,1,17,1,10,1,8,1,9,1,17,1,9,1,14,1,17,2,9,1,17,2,9,1,17,1,9,1,10,1,17,12,16,1,17,1,16,1,17,1,11,1,17,1,16,1,17,2,16,1,12,1,11,1,17,1,16,1,11,1,17,2,11,1,16,3,17,24,16,1,17,12,14,1,9,1,6,1,29,1,6,1,13,2,28,36,30,2,7,1,15,1,9,1,24,1,11,1,9,1,8,1,9,2,16,1,14,2,11,1,8,1,9,1,24,1,8,1,9,2,8,1,6,1,13,2,8,1,9,1,13,1,8,2,24,1,7,1,8,1,6,1,13,1,9,1,15,1,9,1,10,1,17,3,7,1,28,1,30,1,28,4,13,1,30,1,28,1,29,1,28,4,13,1,17,11,16,2,17,1,16,10,9,1,13,2,9,1,13,3,8,1,9,5,13,2,9,2,8,2,9,1,13,1,8,1,9,1,8,1,9,3,11,1,9,1,11,1,9,1,11,1,16,4,17,1,16,4,11,1,16,6,11,5,9,1,16,1,9,1,11,1,9,3,16,7,9,1,13,3,9,1,11,2,9,2,11,2,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,3,11,2,9,4,11,1,16,1,11,1,16,3,17,1,16,1,17,4,16,1,17,2,16,1,17,1,16,12,11,1,16,1,11,1,16,1,11,1,16,5,17,3,16,2,17,3,16,4,17,3,16,1,17,2,16,1,17,2,16,2,17,29,16,1,17,2,16,1,17,1,16,11,11,1,16,2,9,1,11,1,16,1,9,1,11,4,16,2,9,2,13,1,9,2,16,1,9,2,11,1,9,1,11,1,16,1,11,1,9,1,11,3,16,1,11,3,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,4,11,1,16,1,17,2,16,4,17,1,16,6,11,1,16,11,17,1,16,3,17,9,16,2,9,1,16,1,12,1,10,1,11,2,9,3,13,2,9,1,13,2,30,1,6,1,28,2,6,1,30,1,8,1,6,2,13,1,7,1,8,1,9,1,13,1,9,1,7,1,8,3,24,1,9,1,13,1,9,2,8,1,9,1,13,1,9,1,8,1,13,1,9,2,17,6,16,4,17,1,16,1,17,1,16,3,17,1,16,2,17,2,16,5,11,1,17,1,16,3,11,1,16,2,17,1,16,3,11,1,16,3,11,1,16,3,11,2,16,5,9,1,16,1,11,2,16,1,11,1,17,1,11,1,17,1,16,9,17,2,16,1,17,2,16,1,11,1,16,2,17,1,16,2,17,1,16,1,10,1,9,2,11,2,8,1,10,1,9,1,16,1,11,1,9,1,11,1,9,7,11,1,9,1,11,1,9,2,16,1,9,3,11,2,8,1,16,1,13,1,11,1,9,5,11,1,13,1,9,1,8,1,13,1,10,1,9,1,16,1,17,1,11,2,10,2,16,1,9,2,10,1,9,1,11,1,9,2,11,1,9,1,11,1,8,1,9,1,10,1,11,1,9,2,8,1,11,3,9,1,11,3,9,2,11,7,9,2,16,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,17,1,11,3,17,1,16,1,17,1,11,2,16,3,17,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,1,17,1,11,2,16,1,11,1,16,3,17,4,16,1,17,5,16,3,17,2,16,1,17,10,16,1,13,2,9,1,11,1,17,1,11,1,9,1,13,1,8,1,11,2,16,1,11,2,12,2,9,1,11,1,9,3,8,1,9,3,13,1,9,1,10,1,17,82,16,1,17,21,16,12,17,1,16,1,17,2,16,1,17,6,16,1,17,1,16,1,17,2,16,2,17,1,16,1,17,2,9,3,10,1,11,2,9,1,11,1,9,1,11,1,10,1,16,1,9,1,11,1,9,4,8,1,9,2,8,1,9,2,13,1,9,1,13,1,8,1,13,1,9,1,10,1,9,2,11,1,9,1,10,1,11,1,9,3,11,1,9,6,11,1,9,3,11,1,16,1,11,1,9,1,11,1,9,8,8,1,9,7,16,1,11,1,9,2,8,3,11,1,9,1,11,1,9,2,11,1,9,1,11,1,10,1,9,1,11,1,10,1,9,5,11,1,9,1,11,1,9,2,11,2,9,1,8,2,9,3,13,1,9,1,10,1,9,2,11,1,9,1,8,1,9,3,13,1,9,1,8,1,9,6,10,1,9,3,11,1,9,2,11,2,9,3,8,1,13,1,16,1,9,1,11,2,9,1,13,1,9,1,13,1,8,2,9,1,16,1,9,1,16,7,17,1,16,1,17,1,16,4,11,2,10,1,11,2,9,1,16,2,11,2,9,3,16,1,11,1,16,2,11,1,16,1,9,1,11,3,10,1,9,1,11,2,16,1,11,3,16,1,11,1,9,1,11,1,9,2,11,1,9,2,16,1,9,1,11,1,9,1,11,1,9,3,11,1,9,1,11,1,16,1,9,3,8,1,10,1,16,1,11,1,9,1,11,2,9,3,8,1,10,1,13,1,9,2,11,1,9,1,8,1,9,1,11,1,16,1,9,1,16,1,11,2,9,1,10,1,9,1,13,1,9,2,11,1,9,3,16,1,9,1,13,1,9,2,11,1,9,2,11,1,9,2,13,1,11,2,9,4,13,1,9,1,11,1,9,2,11,1,16,1,11,2,9,2,10,1,11,1,9,2,11,1,9,1,11,2,9,1,8,1,9,1,8,1,9,7,8,1,9,1,11,1,9,3,8,2,9,2,8,1,9,1,13,1,9,2,13,1,8,1,9,1,13,1,9,2,13,2,9,2,13,1,9,4,17,1,9,1,13,1,11,1,9,3,8,2,9,2,8,1,13,1,9,1,13,4,9,1,8,1,9,3,8,1,9,1,11,1,9,3,16,1,9,1,13,5,8,1,10,1,11,1,9,4,13,1,9,3,8,1,13,1,9,7,13,1,9,1,13,1,8,1,9,1,8,1,13,1,8,2,6,1,9,1,13,2,9,1,13,1,9,1,13,1,8,3,13,2,6,1,17,3,9,1,10,1,9,2,8,1,9,1,8,1,10,1,24,1,8,1,10,1,24,1,8,1,9,1,24,1,8,2,24,1,7,1,6,1,13,1,10,1,7,1,13,2,24,1,13,4,24,1,13,1,8,1,9,1,10,1,13,1,8,1,9,1,13,1,8,1,10,1,8,1,24,1,8,1,9,1,8,1,13,1,8,2,9,1,24,2,13,1,9,1,10,1,13,1,24,1,13,2,8,1,13,1,8,2,9,1,8,2,13,1,8,1,9,1,8,1,9,1,24,1,9,1,13,2,8,1,7,1,6,1,13,1,6,1,29,1,6,1,7,1,28,9,30,1,13,2,8,2,24,1,10,1,24,1,10,1,12,2,10,1,24,1,17,1,24,1,12,3,17,10,12,1,10,1,16,1,9,1,10,1,9,4,10,1,11,1,9,6,12,1,24,1,9,3,8,4,10,1,13,3,8,1,13,2,8,1,13,1,8,1,13,1,6,1,8,3,13,1,8,1,7,1,13,1,6,1,13,2,8,1,13,1,8,1,7,1,24,1,8,2,9,1,13,1,9,1,24,1,13,1,8,2,24,1,13,1,9,2,10,1,17,1,9,1,10,1,8,1,9,3,13,1,24,1,9,1,8,1,24,1,8,1,13,1,6,1,8,1,7,1,13,1,8,1,7,1,8,1,6,1,8,1,13,1,8,3,24,1,9,1,24,2,11,1,10,1,8,1,24,2,13,1,9,1,24,2,9,1,24,1,8,1,9,1,10,1,9,1,8,1,9,1,11,1,9,2,10,1,11,1,8,1,9,3,8,1,9,1,8,2,9,1,12,1,24,1,9,2,8,1,13,1,8,1,9,1,8,2,13,1,8,1,10,1,9,4,12,1,24,1,8,1,12,1,8,2,9,6,11,1,9,1,24,1,8,2,9,7,10,1,13,1,9,2,8,3,11,1,9,2,11,1,10,1,9,5,11,1,9,1,10,1,17,1,11,3,9,1,10,2,9,1,11,1,9,2,10,1,9,1,8,1,9,1,10,1,8,1,9,2,8,2,10,1,9,1,8,2,9,2,8,2,9,1,8,1,13,1,8,2,13,1,8,1,12,1,10,1,11,1,17,1,9,1,17,1,10,1,17,1,12,1,9,1,16,1,11,1,9,1,13,2,9,1,30,1,13,1,8,1,9,1,6,1,28,1,30,1,6,1,29,1,7,1,30,1,7,1,30,1,10,1,9,1,13,1,11,1,13,1,9,1,8,2,11,2,16,1,11,1,16,2,9,1,8,1,11,1,9,7,11,3,9,2,11,1,8,1,16,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,10,1,11,1,9,3,8,1,9,3,11,1,9,1,8,1,13,2,9,1,11,1,17,1,9,2,12,1,17,1,11,1,17,1,12,1,11,1,17,1,11,1,9,1,13,3,6,1,13,2,11,1,16,1,9,1,11,2,9,1,17,1,11,3,9,2,11,2,17,9,12,2,10,1,12,1,11,5,12,1,17,1,11,1,9,4,13,1,8,1,9,2,8,3,13,2,6,1,9,2,10,2,9,1,12,1,10,1,11,3,12,1,11,1,12,1,10,1,11,1,10,1,9,1,10,1,9,1,11,2,10,1,11,1,8,1,12,1,13,2,8,1,13,1,8,1,13,1,8,1,13,2,8,1,9,1,13,3,10,1,13,1,9,1,8,2,13,1,9,2,8,1,9,2,13,1,8,1,9,1,12,1,11,2,17,1,16,4,17,1,16,1,11,1,16,3,17,1,16,4,11,1,16,3,11,1,10,1,11,1,9,1,11,1,9,1,8,1,11,1,16,8,11,1,16,1,11,2,16,1,11,1,16,1,11,1,9,2,11,1,9,1,16,1,11,1,16,1,11,1,16,1,17,1,9,1,16,3,9,1,16,1,9,3,11,2,9,2,16,1,9,2,13,1,16,1,11,1,9,1,11,2,10,1,9,1,11,1,9,1,11,1,9,1,17,1,9,1,11,1,8,1,11,1,8,1,9,3,13,1,8,1,9,2,8,1,16,1,9,3,16,1,11,1,9,2,11,1,9,4,11,1,9,1,11,3,9,1,11,4,9,2,11,2,9,1,11,10,16,2,11,1,17,1,16,4,17,3,16,1,17,1,16,8,17,2,16,7,17,1,16,5,17,3,16,1,17,4,16,1,28,15,8,1,17,1,11,1,17,1,10,1,12,1,6,3,13,1,7,1,6,1,7,2,29,1,28,1,30,1,6,1,13,1,8,1,7,2,13,1,9,1,15,1,8,2,9,1,11,1,8,1,28,3,30,1,6,3,13,1,24,1,9,2,12,1,17,2,14,1,17,6,9,2,28,1,30,2,33,2,5,17,28,2,13,1,10,1,13,1,8,1,17,10,16,1,17,4,16,1,11,1,16,1,9,1,12,2,11,1,16,1,12,1,17,1,24,1,17,3,10,2,8,1,13,1,9,1,12,1,11,1,17,1,12,2,8,1,9,1,8,2,10,1,12,1,10,1,24,1,8,1,6,1,8,1,24,1,13,2,9,1,8,1,13,3,8,1,12,1,8,1,13,1,8,2,12,1,9,1,8,1,9,1,17,4,8,1,11,1,17,6,9,1,24,1,9,1,12,1,15,1,17,3,8,1,29,3,7,1,24,1,10,1,13,1,8,1,24,5,}, {13,1,7,1,13,1,7,1,8,1,13,1,10,1,15,2,14,1,8,1,13,1,7,1,6,1,30,1,8,1,13,1,8,3,17,1,10,1,17,1,10,1,8,1,11,1,12,1,10,1,17,1,15,2,10,1,24,1,8,1,9,1,13,3,24,1,8,1,13,2,7,1,24,1,9,1,24,1,8,1,29,1,9,1,8,1,24,1,13,1,6,1,13,1,8,1,12,3,17,2,12,1,10,1,8,1,15,1,9,2,17,1,15,1,9,1,10,1,9,1,16,1,17,2,8,2,24,1,8,3,10,1,9,1,12,1,16,1,17,1,8,1,9,2,8,1,12,1,9,1,10,3,15,1,17,1,10,1,9,1,24,1,15,1,11,1,14,1,12,1,16,1,17,2,11,1,17,7,16,1,17,9,11,1,12,1,17,5,11,2,12,1,17,1,16,1,17,3,16,1,17,28,16,2,17,1,16,2,17,8,14,1,11,1,13,2,6,1,13,1,8,1,6,1,30,1,28,32,29,1,30,1,6,3,17,2,9,1,13,1,9,1,12,1,13,1,8,1,17,1,14,1,16,1,10,1,9,2,24,1,13,1,12,1,8,1,13,1,7,2,8,1,7,1,24,1,8,3,29,1,6,1,13,1,8,1,7,1,9,1,12,1,14,1,16,1,17,3,13,1,29,1,28,4,29,1,13,1,30,1,28,1,29,1,28,4,13,1,17,11,16,1,17,2,16,10,9,1,13,2,9,4,13,1,8,1,9,2,8,1,13,1,8,1,9,1,8,1,9,1,13,1,9,6,11,2,9,5,16,11,17,1,16,4,11,3,16,4,9,6,16,1,17,2,16,2,11,2,16,1,9,3,11,1,9,1,16,1,9,1,11,1,16,1,11,1,16,2,11,3,16,1,11,2,16,1,11,2,9,2,11,2,9,1,16,6,17,11,16,4,17,1,16,2,17,1,11,2,16,13,17,1,16,2,17,1,16,1,17,1,16,4,17,1,16,4,17,1,16,1,17,28,16,1,17,10,16,1,17,2,16,13,11,3,9,1,16,1,11,2,16,3,11,1,9,1,11,2,9,1,11,1,9,2,11,2,9,1,11,1,9,1,13,1,11,1,16,1,9,1,11,4,17,1,16,2,11,1,16,2,11,1,16,1,11,2,9,1,11,3,16,4,11,1,16,8,11,1,16,4,17,3,16,5,17,1,16,1,17,1,16,5,17,1,16,1,17,7,16,1,11,1,9,1,16,1,9,2,10,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,7,1,13,1,6,2,28,1,29,1,30,2,6,2,13,1,7,1,13,1,6,1,13,1,8,1,6,1,24,4,9,2,13,1,8,1,13,2,9,1,8,1,13,2,8,1,9,1,8,1,11,1,17,4,16,1,17,1,16,1,17,1,16,3,17,1,16,9,17,2,16,5,17,1,16,1,10,1,16,2,17,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,16,1,9,1,16,4,11,2,16,1,17,1,16,2,9,1,16,1,11,1,17,1,11,1,16,5,11,1,16,1,17,1,16,2,11,2,16,3,17,1,16,1,17,2,16,1,17,2,16,3,11,1,9,7,16,1,10,1,16,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,10,2,11,1,9,1,10,1,11,2,9,1,11,1,10,1,9,1,8,1,11,1,9,1,11,1,9,3,11,1,9,5,11,1,10,1,9,1,12,1,13,1,10,1,11,2,9,1,8,1,11,1,9,1,16,1,10,1,9,2,16,1,9,1,11,1,17,1,9,1,11,2,9,1,13,1,9,3,11,1,9,1,13,1,11,1,9,1,11,2,16,1,9,1,11,5,9,1,11,2,13,1,10,1,11,2,16,1,11,1,16,7,11,7,16,2,11,1,16,1,11,2,16,1,11,1,16,1,17,1,16,1,11,1,16,3,11,1,17,1,11,1,17,10,16,1,17,2,16,3,17,10,16,1,11,1,9,2,16,2,8,1,10,1,8,1,9,1,11,1,12,1,16,4,9,1,16,1,12,1,10,1,11,1,12,1,8,1,9,4,17,56,16,1,17,28,16,1,17,20,16,1,11,1,16,10,17,1,16,1,17,2,16,2,17,1,16,1,17,4,16,1,17,5,16,6,10,2,9,3,11,1,9,2,11,1,9,1,11,1,9,3,8,1,16,1,8,1,9,1,11,2,9,3,13,1,9,1,8,1,9,2,13,1,8,1,9,6,11,1,10,1,9,3,10,1,8,1,9,1,11,1,9,1,10,1,9,1,11,1,9,2,16,1,9,2,10,1,11,1,9,1,11,1,13,2,11,1,13,2,9,1,11,1,9,8,8,1,9,6,11,1,8,1,10,1,16,1,11,1,9,2,11,2,9,4,10,1,9,1,11,1,9,2,11,1,9,4,11,1,9,1,11,1,9,3,11,1,13,1,9,1,10,1,9,3,11,1,13,1,8,1,9,4,11,1,9,2,13,1,9,1,11,4,9,3,10,1,9,2,13,1,8,1,9,1,11,2,10,1,16,1,10,1,9,1,13,1,9,1,13,1,11,1,9,1,11,3,16,1,17,1,16,4,11,2,16,3,11,1,9,1,16,1,11,1,9,1,10,1,17,1,11,2,9,2,11,2,9,2,16,1,11,1,16,1,11,4,9,2,11,1,9,2,11,1,17,1,10,1,11,1,16,1,11,1,16,1,11,3,16,3,11,3,16,2,11,1,16,1,11,1,16,1,9,1,16,2,11,1,9,2,11,1,9,1,10,1,9,2,13,1,9,1,11,1,9,2,10,1,9,3,16,2,9,1,11,1,9,6,11,2,9,2,11,1,13,1,11,1,9,3,10,1,9,3,11,1,9,1,11,1,9,1,11,1,9,1,8,1,9,2,11,1,13,1,9,2,16,1,10,1,9,4,11,1,10,1,9,2,11,1,9,1,11,1,10,1,11,1,16,1,11,2,9,3,10,1,9,1,11,1,16,1,9,6,11,1,8,1,11,4,9,2,8,1,9,2,10,2,9,1,13,1,8,1,9,2,10,1,9,2,11,1,9,1,8,1,9,1,13,1,9,4,8,1,9,2,11,1,16,1,11,1,9,2,13,1,11,1,9,1,13,2,9,2,11,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,13,1,9,1,8,1,9,3,17,1,9,2,11,1,9,1,13,2,8,1,9,2,16,1,13,1,9,1,8,1,13,2,11,1,13,1,8,2,9,3,8,1,9,1,11,1,9,1,13,1,9,1,11,1,8,1,13,1,8,2,13,1,9,2,13,2,6,2,9,5,10,1,8,1,9,1,13,2,8,1,17,2,10,2,9,4,24,3,8,1,9,1,24,4,12,1,8,2,9,1,24,2,8,2,13,1,24,1,6,1,7,1,13,1,8,2,13,1,8,1,24,2,9,1,24,1,8,1,24,1,13,1,12,1,10,1,9,1,8,2,6,1,9,1,13,1,8,3,13,2,24,1,8,5,7,1,8,1,13,1,8,3,24,1,13,1,8,2,9,1,10,1,8,1,24,1,8,2,9,1,13,1,8,2,7,1,13,1,29,1,13,1,7,1,28,10,30,1,7,1,13,1,7,1,24,1,13,1,24,2,9,1,12,1,10,1,12,3,17,1,9,1,17,4,12,1,17,1,11,1,17,4,12,2,10,1,17,1,9,1,10,2,9,2,11,1,9,1,10,1,11,1,9,1,11,2,9,1,10,3,9,1,24,3,8,1,10,1,8,2,24,1,8,1,6,1,7,1,24,1,6,1,8,1,13,1,8,1,6,2,13,1,7,1,13,1,7,1,8,1,24,1,13,1,8,1,13,1,8,1,13,2,8,1,9,2,8,2,13,5,24,1,8,1,13,1,9,1,13,1,11,1,10,1,9,4,11,1,9,1,12,1,9,1,13,1,8,1,24,1,13,1,8,1,7,2,24,1,7,1,8,2,7,1,13,1,7,1,13,1,29,1,7,1,8,2,24,2,6,1,9,1,8,1,9,1,24,1,8,2,9,1,8,1,7,1,8,1,24,1,8,1,9,1,13,1,8,1,24,1,8,1,9,2,24,1,8,1,10,1,8,3,9,1,13,1,9,1,8,1,9,7,8,1,13,3,9,1,8,1,13,1,8,1,9,2,8,1,9,2,10,1,8,1,9,1,8,1,9,3,13,1,11,1,9,5,8,5,9,1,11,1,9,3,12,1,9,4,8,2,9,4,10,1,9,1,11,1,9,2,11,2,9,1,12,1,11,1,9,1,11,2,10,1,9,3,8,1,10,2,9,2,10,1,8,2,9,1,13,1,9,1,8,1,9,3,8,1,11,1,9,1,24,1,9,1,8,1,9,2,24,1,8,2,24,1,8,2,24,1,8,5,13,1,10,1,17,1,11,1,12,1,9,1,17,1,12,1,9,1,17,1,9,2,13,1,9,1,8,1,13,1,7,1,13,2,29,1,7,1,13,1,9,1,11,3,16,1,11,1,9,1,11,1,16,2,11,2,9,12,11,1,9,2,11,1,16,1,9,3,11,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,8,1,9,4,8,1,10,1,11,1,9,4,10,1,11,1,12,1,11,2,12,2,11,2,17,3,8,1,9,2,13,3,9,1,17,1,16,1,17,1,16,1,17,2,11,1,16,1,11,1,17,8,12,1,17,1,11,2,12,1,11,1,12,1,11,2,9,1,11,1,9,4,10,1,9,1,8,1,13,1,8,1,9,1,8,1,13,1,8,1,13,2,8,2,9,2,8,1,12,1,11,1,9,1,11,1,12,1,11,1,17,1,12,3,9,1,10,1,11,1,12,1,24,1,9,1,12,1,9,1,17,1,13,1,11,1,8,1,12,1,13,1,10,1,7,1,13,1,8,1,10,1,13,1,7,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,6,1,9,1,7,1,9,2,8,1,7,1,9,1,13,1,9,1,24,1,13,1,9,1,10,1,9,1,10,1,11,1,16,3,11,1,16,2,17,1,16,1,17,1,16,1,17,3,16,1,17,1,16,1,11,1,10,2,11,1,16,1,11,2,10,1,17,2,9,1,16,1,9,1,16,1,11,1,16,2,11,2,16,2,11,1,16,1,11,3,16,2,9,1,16,2,9,2,11,2,9,1,17,1,11,1,16,2,11,2,16,3,11,1,16,1,10,1,11,5,16,2,11,1,9,1,16,1,10,1,11,1,16,1,9,1,11,4,9,2,13,1,9,5,13,1,10,1,11,1,13,1,16,1,9,1,10,1,16,1,9,1,11,1,9,1,11,1,13,1,9,2,11,1,9,4,16,1,11,5,16,1,9,1,10,1,11,1,9,4,10,1,11,1,9,1,11,1,9,1,11,1,10,1,11,2,16,2,11,1,16,1,11,1,9,1,11,1,9,2,11,1,16,1,11,1,16,11,17,2,16,6,11,1,16,4,17,2,16,1,17,1,16,1,17,3,11,1,28,15,8,1,17,1,16,2,17,1,12,1,24,1,6,1,30,1,6,1,29,3,6,4,29,1,30,1,7,2,13,1,8,1,9,1,8,1,17,1,9,1,12,1,10,1,13,1,28,2,30,1,28,1,30,1,28,2,7,1,13,1,8,2,13,1,9,1,16,1,14,1,15,1,17,5,12,1,11,1,13,1,9,1,30,1,28,4,13,1,33,2,5,1,33,2,13,1,5,6,13,1,28,2,13,1,11,1,16,1,13,1,11,1,17,6,16,1,17,1,16,1,17,5,16,1,11,1,17,1,9,1,11,1,12,2,11,1,9,1,17,1,12,1,17,3,11,1,24,2,9,1,8,2,9,1,17,4,8,2,24,1,11,1,9,1,15,1,12,2,24,1,13,1,7,1,8,1,9,1,8,1,24,1,9,1,7,1,13,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,24,1,17,2,9,1,17,3,12,1,17,1,11,1,17,6,24,1,12,1,8,1,9,1,10,1,12,1,17,1,12,1,9,1,29,1,6,1,29,1,6,1,9,1,10,1,24,1,7,1,9,1,24,1,12,1,9,1,8,1,}, {7,1,6,1,13,2,9,1,8,1,24,1,9,1,15,1,12,1,15,1,9,1,24,1,8,2,7,2,24,1,13,1,15,1,12,1,15,1,12,1,9,3,11,1,12,1,17,2,9,1,24,1,13,1,9,1,8,1,13,1,6,1,13,1,8,1,10,1,13,1,8,1,9,1,8,1,6,2,8,1,6,1,8,1,6,1,24,1,13,1,7,1,8,1,10,2,17,1,9,2,24,1,9,2,10,1,9,1,10,1,9,2,15,1,11,1,12,1,17,3,16,1,12,1,11,1,13,1,8,1,10,1,13,1,11,1,9,1,17,2,16,1,13,1,9,1,8,1,24,1,12,3,24,1,10,1,17,1,14,1,10,1,8,1,11,1,17,1,9,1,17,3,12,1,17,1,16,2,17,15,11,1,17,2,16,1,17,2,11,1,12,1,16,2,17,6,16,1,17,29,16,2,17,6,16,2,17,2,14,1,9,1,13,1,6,2,13,1,7,1,13,1,28,35,6,1,29,1,13,1,15,1,17,1,24,1,8,1,6,1,13,2,9,1,14,3,15,1,9,2,24,1,8,2,13,1,6,1,7,1,6,1,8,1,13,1,8,1,13,1,7,1,13,2,8,1,6,1,7,1,13,1,15,2,24,1,9,1,17,3,13,1,30,3,28,1,30,1,8,1,28,1,29,1,28,1,30,2,29,1,28,2,6,1,17,1,16,1,17,11,16,1,17,2,16,1,17,1,16,2,17,1,16,3,9,2,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,3,8,1,13,2,8,1,9,7,11,3,9,1,16,1,9,1,16,1,11,1,16,4,17,1,16,4,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,4,11,2,16,1,11,3,16,5,17,1,16,1,11,1,16,1,9,3,16,1,9,1,11,1,9,1,11,1,16,1,11,1,16,5,11,5,16,1,11,1,16,5,17,3,16,1,17,5,16,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,13,17,2,16,2,17,2,16,2,17,1,16,4,17,1,16,3,17,2,16,1,17,1,16,1,17,13,16,1,17,24,16,1,17,3,16,1,17,1,16,9,11,3,16,4,11,1,16,5,11,1,9,1,11,1,16,1,9,2,11,1,9,1,16,2,11,1,9,3,11,1,16,2,11,3,16,2,11,1,16,1,11,1,16,4,11,1,17,1,16,1,17,1,16,1,9,1,11,1,16,3,11,1,16,8,17,1,16,4,17,1,16,1,17,2,16,3,17,3,16,2,17,1,16,6,17,8,16,1,10,1,16,1,11,1,9,1,10,1,9,1,8,1,9,1,8,2,9,1,8,2,13,1,6,1,29,1,6,1,13,1,28,1,6,3,13,1,6,1,7,1,8,2,29,1,8,1,24,1,13,1,9,1,8,2,13,1,8,2,6,2,13,1,8,3,13,1,8,1,13,1,8,1,17,5,16,7,17,1,16,6,11,1,17,2,16,5,11,1,16,6,11,2,16,1,10,1,9,1,16,1,11,2,16,2,11,1,17,1,16,1,11,1,9,1,11,4,16,1,11,2,16,2,11,1,17,1,11,1,17,1,16,2,11,1,16,3,17,1,16,2,17,2,16,2,17,1,16,3,17,1,16,4,10,2,9,3,11,1,9,1,11,1,16,1,10,1,9,1,11,1,10,1,16,1,9,4,10,1,9,2,11,1,9,1,16,1,9,1,11,1,10,1,13,1,16,1,9,1,11,1,9,4,8,1,11,1,9,1,13,1,9,2,11,1,9,1,10,1,13,1,9,4,11,1,9,1,12,1,10,1,9,1,10,1,9,1,17,1,9,2,16,1,9,2,10,1,9,1,8,1,11,1,9,1,11,1,9,1,11,2,9,3,11,1,10,2,9,1,10,1,11,1,9,1,11,1,9,1,11,3,9,1,11,2,9,2,11,1,10,1,11,2,9,2,16,1,11,3,9,1,16,1,11,2,9,1,11,1,16,2,11,2,16,1,11,1,16,1,11,1,10,1,16,2,11,1,16,2,11,1,17,1,11,1,17,2,9,1,17,1,16,1,17,6,16,1,17,1,16,1,17,5,16,2,17,2,16,2,17,5,16,1,11,1,16,2,17,1,11,1,13,1,8,1,9,1,7,1,17,1,9,1,11,1,9,1,11,1,17,1,9,1,16,1,9,4,8,1,11,1,17,59,16,2,17,14,16,1,17,17,16,2,17,1,16,1,17,13,16,2,17,1,11,1,16,2,11,1,16,7,17,1,16,1,17,1,16,2,17,8,16,2,17,2,16,2,17,3,9,3,11,2,9,2,11,1,9,4,10,1,9,3,10,1,9,1,10,1,9,1,13,1,8,1,13,1,9,2,8,1,13,1,9,1,8,1,9,1,11,1,9,2,10,1,9,3,13,1,8,1,13,1,9,3,13,1,9,2,13,1,9,1,8,1,9,1,8,1,9,2,11,1,9,2,11,1,9,1,13,1,8,1,9,2,8,2,9,1,8,1,9,1,11,1,9,9,8,1,10,1,11,1,9,2,10,1,9,1,11,1,9,3,11,1,9,1,11,2,9,1,11,1,9,5,11,1,9,5,11,1,9,3,8,1,10,1,9,3,11,1,9,1,11,2,13,1,9,5,11,1,9,1,10,1,9,3,8,1,9,1,10,3,8,1,9,1,13,1,11,1,9,2,17,1,9,2,10,1,9,1,11,1,9,1,13,1,9,3,16,1,9,1,16,1,11,1,16,5,11,1,16,1,11,2,16,1,11,1,16,1,11,3,16,1,11,3,9,1,10,1,11,4,9,2,16,2,11,2,9,1,11,2,9,1,16,1,11,1,17,1,11,1,16,2,11,2,16,1,9,1,11,1,16,1,11,7,16,1,11,2,16,1,11,1,16,2,9,1,16,1,9,1,10,1,16,1,10,1,11,1,9,1,16,1,11,2,10,1,9,3,11,1,9,1,11,2,9,2,11,1,9,3,11,2,9,2,16,1,9,1,11,1,16,1,9,4,11,1,9,3,16,1,13,1,9,1,11,1,9,1,11,2,9,3,11,1,9,1,16,2,9,1,10,1,16,1,11,1,9,1,11,2,16,1,11,5,9,1,11,2,9,1,11,1,16,1,9,1,11,2,16,1,11,1,9,3,11,1,9,5,16,1,9,1,8,1,11,1,9,1,8,1,9,3,13,1,9,1,13,1,9,1,10,1,9,3,8,1,9,3,11,1,9,2,11,1,9,4,11,1,9,2,8,2,9,1,10,1,11,1,9,1,13,1,9,1,11,1,8,1,9,1,16,1,9,2,13,2,8,1,13,1,8,1,9,9,16,1,9,3,8,1,9,2,11,2,9,4,13,1,9,1,13,1,9,2,16,1,9,2,11,2,9,1,16,1,9,3,13,2,11,1,9,5,8,1,13,1,9,1,8,1,9,1,11,1,9,2,8,2,13,1,8,1,13,2,17,1,11,1,10,1,12,2,10,1,11,1,9,1,8,1,9,1,10,1,8,1,24,1,13,1,8,1,24,1,7,1,13,1,9,1,8,2,13,2,8,1,24,1,13,1,24,1,8,1,13,1,7,1,24,2,8,1,9,1,24,1,8,1,10,1,8,1,10,1,8,4,10,2,8,2,13,1,24,1,13,1,8,2,9,1,8,1,10,1,13,1,8,1,6,1,13,1,24,1,13,1,24,1,8,2,7,1,8,2,13,1,7,1,8,1,9,2,24,1,8,1,24,1,8,3,13,3,7,1,13,1,7,1,28,10,29,1,7,2,8,3,24,2,10,1,24,1,12,1,10,1,12,4,17,1,10,1,17,1,11,1,17,1,9,1,12,1,10,1,17,4,11,2,9,1,11,2,9,1,10,1,11,1,9,1,10,1,9,2,11,1,9,1,8,2,10,2,12,1,24,7,8,3,13,1,8,1,7,1,8,1,13,1,7,1,13,1,8,1,7,1,13,4,8,1,13,1,24,1,10,1,13,2,8,1,13,2,24,1,8,1,24,1,9,1,24,1,13,2,9,1,24,1,8,4,9,1,13,1,9,1,11,1,9,1,10,1,8,1,10,1,8,1,9,1,10,1,9,1,12,1,8,2,29,1,24,1,7,1,13,1,7,1,13,4,6,1,30,1,8,1,24,1,29,1,9,1,8,3,9,2,24,1,13,3,8,1,9,2,13,1,8,1,24,1,13,1,8,1,13,1,8,1,13,1,8,1,10,2,8,1,12,2,9,2,8,1,9,6,13,1,10,1,13,1,9,1,13,1,8,2,9,1,13,2,9,3,10,1,8,2,9,1,10,1,8,1,9,3,8,1,9,4,8,2,9,2,8,1,24,1,13,2,9,1,8,2,9,2,10,1,9,4,11,1,24,1,8,1,10,1,11,1,9,1,10,2,9,1,17,1,10,1,9,2,10,2,9,1,10,1,9,1,11,1,8,1,10,5,9,2,11,1,8,1,9,1,10,1,9,5,8,1,9,6,8,1,9,2,8,2,24,1,13,1,24,1,9,1,8,1,9,1,8,2,24,1,9,1,8,2,9,1,8,2,24,1,8,1,9,1,24,1,8,1,13,1,10,1,12,1,10,1,8,1,13,1,6,1,13,5,6,1,13,2,9,1,10,1,13,1,16,1,11,1,16,4,9,3,8,1,13,1,8,1,13,1,8,1,11,1,9,1,11,1,9,1,10,1,9,1,10,1,9,1,11,1,9,2,11,3,10,1,9,1,11,3,9,1,11,1,16,1,9,1,10,1,9,3,8,2,13,1,8,1,9,1,10,1,9,2,11,2,9,2,11,1,10,1,17,1,12,1,11,1,12,1,17,8,16,1,11,1,16,2,17,2,16,1,17,14,12,3,10,1,11,3,12,2,11,4,10,2,9,2,8,2,9,1,13,2,9,1,13,2,8,1,13,2,9,1,11,1,10,5,17,1,11,2,12,2,17,1,10,1,11,2,9,1,11,2,9,1,12,1,9,1,10,1,12,1,11,2,12,1,13,1,8,2,13,2,9,1,13,2,9,2,8,2,7,1,8,1,7,1,8,1,13,1,24,1,13,4,6,1,8,2,13,1,10,1,13,1,9,2,11,1,17,1,16,1,17,1,16,1,17,1,16,1,11,1,16,5,11,1,16,1,11,1,16,4,11,4,10,1,9,1,16,1,11,1,9,1,16,4,11,1,16,1,11,1,16,2,11,4,16,3,11,1,16,1,11,2,9,1,11,1,16,1,17,2,16,3,11,1,16,2,11,1,16,2,11,1,16,1,11,1,16,2,17,1,16,4,17,1,9,1,16,2,11,1,16,1,9,1,11,1,16,1,17,2,16,1,9,7,13,1,9,3,11,1,9,1,11,1,9,1,11,4,9,1,11,2,9,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,11,2,16,1,9,3,11,1,9,1,11,2,9,1,11,2,9,1,10,1,11,1,9,1,11,3,16,3,11,2,9,3,11,3,9,1,16,1,11,1,16,2,11,2,16,1,11,1,10,1,11,1,16,1,17,1,16,1,11,1,16,8,17,6,16,1,17,1,16,1,28,15,8,1,14,1,17,1,11,1,17,2,10,1,24,1,7,1,6,5,30,1,6,1,28,1,29,1,6,2,13,2,24,2,9,1,15,1,8,1,24,1,12,1,13,1,28,5,30,1,6,1,24,1,8,2,13,1,7,2,6,1,13,3,9,1,8,1,10,1,9,1,16,1,17,2,9,5,6,1,30,1,13,2,6,1,30,3,6,2,13,2,30,1,28,2,30,1,9,1,16,2,17,1,13,1,9,1,17,7,14,1,17,1,16,1,17,6,11,1,9,2,10,2,11,1,16,1,17,6,13,1,8,3,9,1,12,3,17,1,9,1,10,1,9,1,24,1,11,2,12,1,9,2,24,1,13,3,11,1,8,1,24,1,9,1,13,1,8,1,13,1,9,2,13,2,9,2,12,1,9,1,10,1,17,6,11,1,16,1,17,4,24,1,10,1,9,1,13,1,10,1,24,1,16,1,17,1,9,1,8,1,6,1,28,2,13,1,24,1,14,1,9,1,7,1,10,1,12,1,8,1,24,1,12,1,}, {29,1,13,1,7,2,10,2,15,1,9,1,14,2,24,2,6,1,13,1,8,1,6,1,8,1,6,1,13,1,12,2,17,1,10,1,12,1,24,1,9,1,17,1,11,1,12,1,17,1,15,1,10,1,24,1,12,1,24,3,8,1,13,1,15,1,8,1,9,1,13,1,7,1,8,1,7,3,8,3,7,1,6,1,8,1,13,1,24,2,17,1,10,1,15,1,9,1,24,1,15,2,9,1,12,1,17,1,10,1,16,1,11,1,16,1,17,3,8,1,9,1,8,1,24,2,13,1,9,3,12,1,17,1,24,1,13,2,9,2,12,1,15,1,8,1,24,1,17,2,9,3,17,7,12,1,17,16,16,1,17,3,16,3,17,14,12,1,17,21,16,2,11,2,16,1,17,3,11,1,17,1,16,2,9,2,17,2,9,1,8,2,13,3,6,1,28,33,30,1,29,1,7,1,30,1,13,1,17,1,9,1,8,1,6,3,13,1,8,1,9,1,14,2,15,1,10,1,9,1,8,2,13,1,9,1,8,1,30,1,6,1,29,1,8,2,29,1,6,1,13,1,30,1,8,1,6,1,7,1,6,1,24,1,17,1,11,1,17,4,9,1,30,2,28,2,8,1,6,1,30,1,6,1,30,1,29,1,28,1,30,1,28,2,30,1,17,13,16,1,17,1,16,1,17,1,16,7,9,4,13,1,8,1,13,2,9,5,13,2,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,16,9,17,2,16,1,17,1,16,3,17,5,16,5,11,1,16,2,11,1,16,3,17,1,16,1,17,1,16,1,17,1,16,4,11,1,9,4,11,2,17,1,16,1,17,1,16,7,11,1,16,2,17,1,16,2,17,2,16,1,17,6,16,1,17,5,16,4,17,3,16,1,17,1,16,3,17,1,16,1,17,1,16,2,17,2,16,1,17,6,16,3,17,1,16,1,17,1,16,1,17,1,16,4,17,28,16,1,17,10,16,1,17,2,16,2,17,3,16,10,17,1,16,3,11,2,16,2,11,1,16,1,11,1,16,3,11,1,9,1,16,1,11,4,16,1,11,5,16,3,9,1,11,2,16,2,11,1,16,4,9,1,16,2,11,1,9,1,16,1,9,1,16,15,17,1,16,5,17,1,16,4,17,1,16,2,17,1,16,1,17,3,16,1,17,2,16,1,17,1,16,1,17,8,11,1,10,1,16,1,11,1,9,1,13,1,9,3,8,1,13,5,7,1,29,1,28,1,30,1,6,2,7,1,28,1,29,1,13,1,8,1,7,1,24,1,9,1,13,2,8,1,24,2,8,1,13,2,8,1,24,1,8,3,13,2,9,1,13,1,9,1,17,5,16,8,17,1,16,1,17,1,16,17,11,1,9,1,16,1,11,2,16,2,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,5,11,1,10,1,16,1,17,1,11,1,16,7,17,1,11,1,17,1,11,1,16,3,17,2,16,2,17,1,16,1,17,1,16,1,17,1,11,1,16,1,11,1,9,1,16,1,9,2,10,1,9,1,11,4,16,1,10,1,11,3,10,1,9,1,11,1,8,1,9,1,11,3,10,1,11,1,9,3,11,1,9,4,11,1,13,1,9,3,11,1,9,1,11,1,10,1,9,1,16,1,9,2,11,1,9,2,11,1,9,1,11,1,9,3,11,1,16,1,10,1,8,1,9,1,11,1,8,1,11,2,10,1,9,1,11,1,9,5,11,1,9,3,11,1,9,1,11,1,8,1,11,1,9,1,11,2,9,1,10,1,11,1,9,2,10,1,11,2,9,1,11,1,16,1,9,2,16,1,11,2,16,1,9,1,16,1,11,1,17,1,16,3,9,1,11,1,17,1,11,1,16,1,17,1,16,1,11,1,16,2,11,1,16,2,9,1,16,2,11,2,16,1,17,1,11,1,17,2,16,1,17,5,16,1,17,5,16,1,17,1,16,1,17,2,16,1,17,5,16,2,17,2,16,1,13,1,7,1,8,3,17,1,9,2,17,1,10,1,9,3,13,1,8,1,7,1,8,1,9,1,10,1,17,52,16,1,17,2,16,1,17,35,16,1,17,1,11,1,16,2,11,3,10,1,11,1,17,1,16,1,17,8,16,1,17,1,16,3,11,1,16,11,17,2,16,1,17,4,16,1,17,2,16,3,17,2,16,1,17,2,11,4,9,2,11,2,13,1,9,2,11,1,9,1,8,1,9,4,10,1,13,3,9,2,8,1,13,1,9,4,8,1,9,1,11,1,8,1,9,7,10,1,13,1,9,8,13,1,11,1,9,4,8,1,13,2,9,1,13,2,9,2,11,2,9,6,13,1,9,4,11,2,9,1,11,2,9,5,11,5,9,3,8,1,11,1,9,1,11,1,9,7,11,1,9,2,11,1,9,1,11,4,16,1,10,1,9,2,16,1,10,1,16,1,11,1,9,3,10,1,9,3,11,1,8,1,11,2,9,1,11,1,8,1,11,1,9,1,11,2,9,1,13,1,9,1,11,8,9,1,16,3,11,1,17,1,16,3,11,1,16,1,10,1,11,1,16,1,11,1,16,1,11,1,10,1,9,1,11,2,9,1,11,3,9,1,11,1,9,1,11,1,16,1,11,1,16,3,11,1,16,2,11,2,16,3,11,1,16,1,11,2,16,1,11,1,17,1,11,2,16,1,11,5,16,1,11,4,16,2,11,1,16,1,11,2,16,1,11,2,16,2,9,1,16,2,11,3,10,1,11,2,9,1,11,1,16,1,9,2,11,2,16,1,11,3,16,1,9,1,11,5,9,1,16,1,9,1,11,1,16,2,11,1,9,2,16,1,11,2,16,1,9,1,11,4,16,1,9,3,11,3,9,1,11,1,9,1,11,1,9,2,11,2,9,1,11,1,9,1,11,2,9,2,8,1,9,4,10,2,8,1,9,2,8,1,10,1,13,2,10,1,9,1,8,1,9,7,8,1,9,2,13,1,11,1,9,9,8,1,9,2,11,3,9,6,8,1,9,6,8,1,9,2,13,1,8,1,13,1,9,3,16,1,11,1,9,1,11,1,9,2,16,1,9,2,8,1,11,1,9,2,16,2,11,1,9,1,11,1,9,4,11,1,9,4,10,1,16,1,8,1,11,1,9,2,11,1,9,1,13,1,8,1,9,1,11,1,9,1,11,1,9,2,13,1,9,6,10,1,9,1,13,2,8,1,10,1,9,1,10,1,9,2,24,1,8,1,9,1,13,1,8,1,24,1,10,1,8,3,9,1,24,1,8,1,24,1,13,1,8,1,7,1,13,1,8,1,6,1,13,1,8,1,13,2,7,1,9,2,24,1,8,1,9,1,13,1,24,1,13,1,8,1,10,1,13,1,24,1,8,2,9,2,13,1,24,1,13,3,8,1,7,1,8,2,9,2,10,1,8,4,7,2,8,2,7,1,24,1,13,2,24,2,9,1,8,5,24,1,9,1,7,1,13,2,8,1,30,1,28,10,30,1,6,1,29,1,8,1,13,1,25,1,24,1,8,1,24,1,9,1,12,1,10,1,17,2,9,2,12,1,24,1,10,1,17,1,12,1,11,1,12,1,17,1,12,1,17,4,12,1,11,1,12,2,10,1,9,1,10,1,9,2,12,1,10,1,9,3,8,1,9,2,11,1,8,1,24,1,8,3,24,1,8,1,13,1,8,1,13,3,8,2,13,1,6,1,8,1,13,1,8,2,7,2,13,2,8,1,13,1,24,2,13,1,7,1,8,1,13,1,9,1,13,2,24,1,13,3,9,1,8,1,13,1,9,1,8,3,9,1,8,1,9,1,11,1,9,1,8,1,9,1,10,1,24,3,9,1,8,2,13,1,8,1,13,2,7,1,13,1,6,1,7,1,8,1,13,1,6,1,7,1,8,1,7,1,8,1,7,1,13,2,9,2,13,1,24,1,8,2,13,2,24,1,7,1,13,1,8,2,13,1,9,1,13,1,8,1,9,1,24,1,9,1,24,1,10,1,11,1,9,2,11,1,13,1,9,1,8,1,9,1,13,2,8,2,13,1,9,1,13,2,8,1,13,1,9,1,8,2,9,2,8,2,9,1,8,1,9,2,8,1,9,5,10,1,9,2,8,3,9,1,8,4,13,1,10,2,9,1,11,1,9,1,8,1,13,1,9,2,10,1,9,4,11,2,9,1,11,1,9,2,11,3,10,1,11,1,9,1,11,1,10,1,17,1,10,1,9,1,12,1,8,2,9,1,10,1,9,2,10,1,9,4,8,1,9,5,11,1,9,1,8,1,9,2,8,1,9,1,13,2,10,1,8,2,24,2,9,1,24,3,13,1,8,1,9,1,8,1,24,1,8,2,9,3,13,1,8,1,10,1,12,1,10,1,8,1,11,1,13,1,9,1,8,1,9,1,13,1,8,2,13,2,9,1,17,1,11,2,8,1,9,3,16,2,11,2,9,4,13,1,10,1,9,2,11,1,9,1,10,1,11,1,9,5,11,1,10,1,16,2,9,1,11,1,10,1,9,5,8,1,13,4,9,1,11,2,10,3,12,1,9,1,12,1,10,1,9,1,12,3,17,28,12,3,11,3,10,1,12,1,11,4,10,2,11,1,9,4,8,2,9,1,13,3,8,1,9,1,11,1,9,1,11,1,9,1,12,2,11,1,17,1,10,2,17,2,9,3,12,1,9,1,10,1,17,1,11,1,9,1,8,1,12,1,13,1,11,1,10,1,9,1,24,1,11,1,9,1,13,1,24,1,13,4,9,1,13,1,8,1,13,1,10,1,9,1,13,2,9,1,8,1,13,1,8,2,24,1,13,1,7,1,24,1,8,1,13,1,8,1,30,1,13,1,8,1,10,1,17,1,16,5,11,1,16,5,17,1,16,1,11,1,16,1,11,1,16,4,11,1,17,1,11,1,16,1,11,2,9,1,16,1,11,2,16,1,11,2,17,1,16,1,11,2,16,5,11,1,16,4,10,1,9,1,11,4,16,3,11,1,16,1,17,1,16,2,11,1,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,1,11,1,10,1,11,1,16,2,17,1,9,1,11,1,16,2,11,4,9,1,11,1,9,2,11,2,9,1,11,1,16,3,11,1,16,1,11,2,10,1,11,3,9,1,11,2,10,1,11,1,9,3,11,3,9,1,10,1,11,1,9,1,11,4,9,2,11,1,10,1,9,1,11,2,9,1,11,1,9,3,11,1,16,1,9,1,11,3,9,1,11,5,16,1,11,7,16,1,9,1,11,2,16,3,11,1,16,5,11,1,16,3,17,1,16,1,17,3,11,1,28,15,24,1,14,1,11,1,12,1,11,1,15,1,24,1,10,1,24,1,7,1,30,1,8,1,28,1,6,1,29,2,28,1,30,1,29,1,6,1,8,2,9,1,24,1,12,3,17,1,12,1,7,1,28,7,24,1,13,1,7,2,13,2,7,1,30,1,13,1,28,2,6,4,9,2,8,1,9,2,16,1,9,1,16,1,17,1,10,1,9,1,13,1,9,1,11,1,16,1,9,1,8,1,13,4,6,1,8,1,9,1,17,3,11,2,17,9,16,1,17,5,12,1,17,1,12,1,9,1,8,1,11,3,17,2,11,1,17,3,9,1,6,1,8,2,10,1,9,1,17,1,12,1,17,2,9,1,11,1,8,2,12,2,15,1,9,2,13,2,7,1,8,1,6,1,9,1,8,1,6,1,13,1,9,1,13,1,10,2,9,1,12,1,9,1,16,1,11,1,9,2,17,1,12,1,17,2,12,1,16,2,17,1,12,2,10,1,17,2,12,1,8,1,10,1,9,1,17,2,12,1,8,1,6,1,28,1,30,1,6,1,10,1,12,1,24,1,13,1,8,1,12,1,14,1,8,1,9,1,}, {6,1,13,1,6,2,13,1,24,1,15,1,12,2,14,1,8,1,24,1,13,1,8,1,13,1,6,1,8,1,6,1,8,1,24,1,17,2,9,1,12,1,10,1,9,1,12,2,17,1,11,1,13,2,8,1,24,1,8,1,13,1,7,1,9,1,13,1,24,1,8,2,6,1,7,2,6,1,8,1,24,1,13,2,6,2,9,1,24,1,13,1,24,1,8,1,9,2,17,1,9,1,10,1,24,1,8,2,15,1,12,1,10,1,17,1,12,1,17,4,9,1,11,1,8,1,24,2,9,1,8,2,9,1,12,1,10,1,24,1,8,3,11,1,12,1,9,3,17,1,15,1,12,1,9,1,17,1,12,1,17,1,12,1,17,2,16,2,12,1,17,6,16,1,17,11,16,2,12,1,17,1,11,1,16,1,17,34,16,1,17,1,16,1,11,2,17,2,10,1,17,1,9,1,16,2,17,2,16,1,17,1,14,1,9,1,13,2,6,1,7,1,8,1,29,1,28,15,30,1,28,15,30,1,28,1,30,1,6,1,7,1,13,2,10,1,12,1,13,1,29,2,7,1,6,1,13,1,10,1,14,1,15,1,14,1,15,1,11,1,10,1,24,2,9,1,7,1,6,1,7,1,13,1,7,1,8,1,6,1,13,2,29,1,13,1,6,2,13,1,8,1,15,1,17,3,16,1,17,1,9,1,28,2,6,1,24,1,13,1,28,1,29,1,30,2,7,1,28,1,30,1,28,2,6,1,17,14,16,11,9,1,13,1,9,1,13,4,9,1,13,1,9,3,11,1,9,4,16,1,11,1,16,1,11,2,16,1,11,1,16,4,17,1,16,8,17,1,16,6,17,3,16,2,17,1,16,1,17,1,16,1,17,1,16,4,17,1,16,2,17,1,16,1,17,1,16,5,11,3,16,1,11,1,16,3,17,2,16,4,17,7,16,1,17,3,16,1,17,2,16,1,17,15,16,1,17,3,16,1,17,9,16,1,17,2,16,1,17,6,16,5,17,1,16,2,17,2,16,1,17,1,16,1,17,2,16,1,17,22,16,2,17,1,16,1,11,2,8,1,9,3,11,1,9,1,11,3,17,1,16,14,11,4,16,2,9,1,16,2,11,1,16,1,11,1,16,2,11,1,16,1,11,1,9,1,16,5,11,1,16,8,11,2,16,1,11,2,16,13,17,1,16,1,17,1,11,1,16,4,17,1,16,11,17,1,16,1,17,1,16,1,17,7,16,1,17,8,11,2,9,1,11,2,16,1,9,1,11,1,10,1,9,3,8,1,13,4,7,1,6,1,30,2,13,1,6,1,13,1,6,2,13,1,8,3,29,1,24,1,9,1,7,1,13,2,8,1,13,1,8,1,13,2,8,1,13,1,8,1,10,1,13,1,8,1,7,1,9,1,17,5,16,3,17,1,16,3,17,1,16,3,17,1,16,7,17,1,16,1,11,1,17,1,16,4,11,1,16,1,11,2,16,1,9,2,11,1,16,1,11,1,16,1,11,2,16,2,9,1,16,4,11,2,16,1,17,1,16,3,17,1,16,3,17,1,10,1,17,1,16,3,17,1,16,4,17,1,16,4,17,1,11,2,9,2,11,1,9,2,11,2,9,2,16,1,9,1,11,1,10,1,11,1,9,1,10,1,9,1,11,1,10,1,9,1,11,2,9,2,11,1,9,2,11,2,9,1,8,1,10,1,9,9,11,1,9,4,11,1,9,1,11,1,9,1,12,1,9,2,12,1,8,1,10,2,9,1,11,1,9,2,8,1,11,2,8,1,13,1,11,1,9,1,11,1,9,4,11,1,9,1,11,1,9,2,11,6,9,2,16,1,13,1,11,1,9,1,11,1,8,1,11,2,9,2,16,5,11,3,16,1,11,4,9,1,16,2,10,1,17,1,16,2,11,1,16,2,11,1,16,2,11,1,9,1,17,1,16,2,17,1,16,1,17,13,16,1,17,3,16,2,17,2,16,1,17,3,16,1,17,1,16,1,17,2,11,1,13,2,11,1,17,2,9,1,12,1,17,1,10,1,9,1,8,1,13,1,11,1,9,1,17,2,16,1,17,4,9,1,11,1,16,1,17,53,11,1,17,31,16,4,11,1,9,1,17,1,11,3,16,2,17,1,16,1,17,8,16,18,17,1,16,3,17,2,16,3,17,3,16,2,17,2,11,1,9,1,11,4,13,1,11,1,9,1,13,1,9,3,16,1,9,1,11,1,9,1,13,1,9,1,13,2,8,1,13,1,8,1,9,5,8,1,9,4,13,1,9,10,8,1,9,3,11,3,9,1,11,2,9,4,13,1,9,1,11,1,9,2,13,1,11,1,9,1,11,1,9,1,8,2,9,4,16,1,11,1,9,2,16,2,11,1,9,1,11,1,9,1,8,1,13,1,9,3,11,1,9,1,16,1,11,1,9,2,16,1,9,3,11,2,9,2,8,1,9,1,16,1,9,1,16,1,9,1,11,1,16,1,11,3,16,1,11,1,9,1,11,1,9,3,16,1,11,2,9,4,11,1,9,2,10,1,11,1,16,1,11,1,10,1,11,1,9,1,11,2,9,2,11,2,9,1,11,1,16,1,11,1,9,2,11,4,16,6,11,1,16,2,11,3,16,1,11,1,16,1,17,1,10,1,9,1,10,1,11,3,9,1,16,1,9,1,16,1,9,1,11,2,16,1,11,1,16,1,11,2,16,2,11,1,16,2,11,1,16,5,11,2,17,1,11,1,10,1,9,1,11,1,9,1,16,1,11,1,16,1,17,1,16,3,17,1,11,5,10,1,11,3,16,2,11,1,10,1,11,3,9,1,11,1,9,2,11,1,9,1,11,1,9,4,11,2,16,1,11,3,17,1,11,1,10,1,11,1,13,1,11,2,9,1,11,1,9,1,11,1,9,2,11,1,16,2,9,1,16,1,9,2,16,1,10,1,16,2,11,1,16,1,9,1,11,6,16,2,9,1,11,1,16,1,11,2,10,1,9,1,11,2,10,1,9,1,16,1,9,1,11,3,9,1,11,1,9,2,11,2,9,1,10,1,8,1,9,1,8,1,9,3,8,1,9,4,10,1,9,2,8,1,9,6,11,1,9,2,11,1,9,1,16,2,9,2,13,1,11,1,9,2,8,1,11,1,13,1,9,1,13,1,8,1,10,1,9,1,8,1,9,2,13,1,8,1,9,5,11,1,9,1,11,2,10,1,9,3,11,1,9,1,16,1,11,2,9,2,11,1,9,7,8,1,11,1,13,1,16,1,8,2,11,1,9,1,13,1,9,2,11,1,8,1,9,3,11,1,9,8,11,1,9,2,13,2,17,1,9,1,11,1,24,2,9,1,8,1,24,1,9,1,11,1,24,2,9,1,24,1,8,1,24,1,8,1,13,1,24,1,13,1,8,1,7,1,24,2,13,1,8,1,13,1,8,2,24,2,10,1,8,2,13,1,9,1,13,1,9,4,8,6,24,2,13,1,9,1,8,3,9,1,8,2,24,1,13,1,24,1,13,2,8,1,7,1,24,1,13,1,8,2,13,2,8,2,24,1,13,2,24,1,8,1,10,1,24,1,13,2,8,2,13,1,28,10,29,3,7,1,8,1,7,1,8,1,24,2,10,2,12,1,24,1,12,3,8,1,17,1,12,2,9,1,10,1,17,1,11,1,17,1,12,1,17,6,12,1,10,1,11,1,10,2,9,1,10,1,24,1,10,1,9,3,24,1,11,1,9,2,24,1,8,1,24,1,8,3,6,1,13,1,24,1,8,1,7,1,13,1,8,1,13,1,24,1,29,1,13,2,7,1,8,3,13,1,8,1,13,3,24,1,13,2,9,1,8,1,11,1,13,2,8,2,13,1,24,1,8,1,13,1,6,1,8,2,13,2,8,1,7,1,24,1,10,1,9,2,11,1,10,1,13,1,8,1,11,1,13,1,24,1,8,1,7,1,8,1,6,1,8,1,13,1,6,2,13,2,7,3,13,1,6,1,13,2,24,1,8,1,13,1,24,1,13,1,24,1,8,1,24,1,13,3,7,1,13,1,8,3,24,1,8,1,24,1,9,1,13,1,24,1,9,1,8,2,10,1,9,1,11,1,13,1,24,2,9,1,8,2,9,1,13,1,8,1,13,1,9,2,13,2,9,1,13,1,8,2,9,3,13,2,24,2,10,2,8,1,9,2,10,1,9,1,10,1,11,1,8,1,11,1,8,1,9,1,8,1,9,1,8,2,9,1,10,2,8,1,10,1,8,1,13,1,24,1,8,1,9,1,11,1,12,1,9,1,8,1,9,1,11,1,10,2,9,2,11,2,10,1,9,1,10,2,9,1,11,1,10,3,9,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,8,2,9,2,8,2,10,1,8,1,9,3,10,1,9,3,8,1,24,1,8,1,9,1,13,1,10,1,8,2,24,1,8,1,9,1,8,1,9,2,24,1,8,1,9,1,8,2,24,1,13,1,9,1,13,1,8,4,9,2,12,1,9,1,17,1,9,1,8,1,9,1,13,1,11,1,9,3,10,1,16,1,17,1,9,2,11,1,9,1,11,1,17,2,16,3,9,1,11,1,16,1,9,1,11,2,9,1,11,1,9,3,8,1,11,1,9,1,11,1,16,1,9,1,11,7,9,1,11,1,7,1,13,2,28,1,13,1,9,1,10,1,11,1,10,3,11,1,10,1,11,2,10,1,8,1,11,3,17,13,16,1,17,13,11,1,12,2,11,1,12,1,11,2,10,1,11,3,9,1,11,2,10,1,11,1,9,1,11,1,9,3,13,1,9,1,8,1,6,1,13,1,8,1,10,1,9,1,17,1,10,1,17,1,12,1,17,1,10,1,12,1,10,1,17,2,9,2,11,1,9,1,10,1,8,1,12,1,10,1,11,1,10,2,8,1,24,1,10,3,8,1,12,1,13,1,10,1,8,1,13,1,9,1,13,1,8,2,9,1,8,2,6,1,13,2,6,1,9,1,13,1,10,1,13,1,9,1,13,1,11,1,24,1,8,1,10,1,9,1,8,1,13,1,6,1,8,1,9,1,11,1,17,2,16,1,11,1,16,8,11,1,16,1,11,4,16,1,11,1,17,2,16,1,11,1,16,1,11,1,16,1,11,1,16,7,11,1,16,6,11,1,16,2,11,4,16,2,17,1,11,1,16,2,17,1,11,1,16,2,17,1,16,1,11,1,16,2,17,1,16,1,17,1,16,1,11,1,17,1,16,6,11,1,17,1,11,1,16,2,17,1,16,1,9,1,16,1,11,1,9,1,16,1,11,1,9,2,11,1,9,1,11,2,16,2,11,2,16,2,11,1,16,3,9,1,11,2,13,1,11,1,9,2,11,2,16,2,11,1,9,1,10,1,8,1,9,1,11,1,9,1,11,1,9,3,11,1,9,3,11,1,9,2,16,1,11,1,10,1,11,2,9,1,11,1,9,1,11,4,16,3,9,1,10,1,9,1,11,1,16,1,9,1,11,4,17,1,16,2,11,1,16,1,11,1,10,1,11,1,9,1,16,5,11,1,17,3,16,1,28,15,9,1,15,1,16,1,11,1,9,1,24,1,8,1,9,2,24,1,8,1,29,1,30,1,13,1,6,1,30,1,13,1,6,2,9,1,7,1,24,1,9,1,24,1,12,1,17,1,9,1,8,2,6,1,28,2,30,1,28,4,13,1,8,1,13,1,6,2,30,4,28,1,30,2,28,3,29,1,30,1,13,1,6,1,7,1,13,5,30,1,28,2,30,2,29,1,6,2,30,1,13,4,11,1,17,1,16,1,17,1,16,1,17,16,11,1,17,1,11,2,10,1,12,1,9,1,16,1,17,5,12,1,9,1,13,1,8,1,9,1,8,1,12,1,17,3,11,1,12,1,9,1,10,1,9,1,17,1,11,1,17,1,12,1,10,1,13,3,8,2,10,1,13,1,9,1,8,1,9,1,10,1,11,2,9,1,11,1,13,1,16,1,9,1,8,1,9,1,12,2,9,1,17,1,11,1,12,2,17,5,12,1,8,2,24,1,9,2,17,2,13,1,30,2,29,1,30,1,24,2,9,1,13,1,24,1,10,1,12,1,15,1,24,1,}, {9,1,13,1,8,1,13,2,12,1,10,1,11,1,10,1,15,1,9,1,15,1,13,1,24,1,6,1,13,1,6,1,13,2,11,1,17,1,15,1,12,1,10,2,13,1,9,1,16,1,17,2,15,1,9,1,24,1,8,1,9,1,24,1,13,1,9,1,8,1,10,1,13,1,6,1,13,1,7,1,13,1,8,1,24,1,13,1,7,1,13,1,8,1,13,2,24,1,13,1,8,2,10,1,9,2,10,1,7,1,9,1,24,1,13,1,10,1,15,1,17,1,12,2,17,1,12,1,17,3,8,1,9,1,13,1,8,2,24,1,13,1,12,1,17,2,13,2,24,1,9,3,8,1,9,1,24,1,17,1,15,1,17,1,9,1,17,2,16,1,14,1,17,2,12,2,11,1,17,1,12,1,17,2,16,1,17,14,16,1,17,2,16,1,17,3,16,1,17,35,16,1,17,1,9,2,16,1,9,2,17,1,11,1,17,1,16,1,17,1,16,1,12,1,13,2,6,1,13,2,6,1,28,32,29,2,30,1,13,1,6,2,12,1,11,1,8,1,30,1,28,1,6,2,13,1,8,1,14,3,12,1,10,1,9,2,8,1,24,1,7,1,6,1,29,1,13,2,6,1,7,1,6,1,29,1,7,2,29,1,8,1,29,1,6,1,10,1,11,2,12,1,17,1,14,1,9,1,28,1,13,1,15,1,6,1,30,1,28,2,30,1,28,1,6,1,30,1,28,3,6,1,17,14,16,7,17,2,16,4,9,1,13,1,9,3,13,2,9,3,11,1,9,3,11,1,9,1,11,2,16,2,11,2,16,3,17,2,16,1,17,1,16,7,17,1,16,1,17,1,16,1,17,2,16,1,17,2,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,1,17,7,16,1,17,1,16,8,17,3,16,1,17,12,16,1,17,26,16,1,17,14,16,2,17,3,16,3,17,1,16,2,17,1,16,5,17,1,16,1,17,2,16,2,17,6,16,1,17,1,16,5,11,3,8,1,9,1,13,1,6,1,13,1,6,1,30,1,13,1,30,2,6,2,13,1,8,1,6,1,30,1,13,2,9,1,17,3,16,15,9,1,17,1,16,4,11,1,16,4,9,2,16,1,11,3,9,1,11,1,16,5,11,2,16,2,11,3,16,1,11,1,16,2,11,1,16,1,11,1,16,2,11,1,16,1,17,2,16,1,17,1,16,11,17,1,16,4,17,1,16,2,17,1,16,4,17,1,16,1,17,1,16,1,17,3,16,1,17,10,16,1,9,2,16,1,10,1,9,2,11,1,9,3,8,1,13,1,8,1,9,1,13,1,6,1,30,1,6,1,30,2,7,1,29,1,7,1,13,1,7,1,8,1,13,3,8,2,24,1,7,1,24,1,8,1,13,1,8,1,7,1,13,2,8,1,13,1,9,1,13,1,8,2,13,1,9,1,17,5,16,3,17,1,16,9,17,1,16,1,11,1,16,5,17,1,16,3,11,2,16,5,9,2,10,1,9,1,16,2,11,1,16,1,11,1,16,3,17,2,11,1,16,6,17,1,16,5,17,4,16,1,17,1,16,1,17,1,11,1,17,2,16,4,11,1,9,1,8,1,9,2,13,1,11,3,9,1,11,1,16,1,11,1,9,3,11,1,10,1,8,1,17,1,11,1,8,1,9,1,17,1,11,1,9,1,11,1,9,1,10,1,11,1,9,2,13,1,9,1,10,1,11,1,8,2,11,1,9,1,10,1,8,1,9,3,11,1,16,1,9,3,16,1,8,1,11,1,9,5,8,1,9,2,11,3,9,1,11,1,9,1,10,1,11,1,9,2,11,1,9,2,11,1,9,1,16,1,10,1,9,1,11,2,9,2,10,1,11,2,9,1,11,2,9,1,16,1,9,1,11,1,9,1,11,1,9,1,8,1,11,2,8,1,9,2,16,2,17,1,16,1,17,1,9,1,10,1,9,1,11,2,9,1,11,1,16,1,9,2,16,2,11,1,16,2,11,2,16,1,11,1,16,1,11,2,17,7,16,2,17,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,1,16,1,17,5,16,1,17,2,16,2,17,1,16,1,17,1,13,1,6,1,13,1,17,1,12,1,17,2,11,1,9,3,11,1,17,2,16,1,17,4,11,1,16,1,11,1,16,1,17,49,16,1,17,4,16,2,17,32,10,1,11,3,16,1,11,4,10,1,16,4,17,8,16,2,17,1,16,2,11,2,17,1,9,1,16,5,17,1,16,2,17,1,16,1,17,1,16,2,17,2,16,3,17,1,16,3,17,1,16,4,9,2,11,1,9,1,11,1,9,4,11,1,9,2,11,1,9,4,11,1,13,1,8,1,13,1,10,1,9,1,10,1,11,1,9,2,10,1,16,1,10,1,9,4,16,2,9,1,10,1,11,1,9,1,11,3,9,2,11,3,9,1,11,1,16,1,11,3,9,1,11,2,9,6,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,3,16,1,9,1,11,1,9,1,11,1,9,8,10,2,16,1,11,2,9,1,11,1,9,1,11,1,16,1,9,1,10,1,16,2,9,2,16,2,11,3,16,2,11,1,16,2,11,1,9,1,11,1,16,1,9,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,16,2,11,4,9,1,11,1,9,2,16,1,9,1,11,3,16,1,11,3,9,1,16,5,17,1,16,2,11,1,17,1,11,1,16,1,11,2,16,2,11,2,9,1,11,1,16,1,11,2,16,1,9,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,9,1,16,2,11,1,10,1,16,1,11,3,16,3,11,1,16,1,11,1,16,1,11,6,9,1,17,2,16,1,17,2,16,4,11,2,16,1,11,3,16,2,9,2,10,1,16,1,11,3,9,1,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,16,2,10,1,11,1,16,1,11,2,16,5,9,3,13,1,11,3,9,1,11,1,9,2,16,3,17,1,9,1,10,1,16,1,11,5,9,2,16,2,10,1,16,1,11,3,16,1,11,3,9,1,11,3,8,1,11,1,16,1,9,1,8,1,11,1,9,3,11,1,10,1,9,1,11,2,9,3,11,2,9,2,16,1,10,1,9,2,16,1,11,1,13,1,11,1,9,3,11,1,9,1,11,1,9,1,11,1,16,1,10,2,9,1,8,2,9,1,11,1,9,2,8,1,10,1,9,2,13,1,9,1,8,1,9,4,11,1,9,2,8,1,9,1,11,1,9,2,11,1,9,4,11,2,16,4,9,1,8,1,9,1,11,1,10,1,9,24,8,1,10,1,9,4,11,2,16,1,6,1,9,1,8,1,11,3,24,1,9,2,24,1,13,1,8,3,24,1,8,1,24,1,9,1,13,1,24,2,13,1,8,1,9,1,13,1,8,1,13,2,8,2,24,1,8,1,9,2,7,1,8,2,13,1,24,3,8,1,9,1,24,2,8,1,9,1,8,1,24,1,8,1,13,1,24,1,13,1,8,1,6,1,13,1,8,1,24,1,13,1,24,1,13,2,8,1,6,1,8,1,13,5,7,1,13,1,8,2,7,1,8,1,24,1,13,2,8,3,9,1,8,2,13,1,28,12,7,1,13,1,25,1,24,1,6,1,13,1,24,2,12,1,8,1,10,1,13,1,10,2,9,1,12,1,17,1,9,1,10,1,12,2,10,2,12,1,17,1,11,1,17,4,12,1,9,2,12,1,11,1,12,1,9,1,10,1,8,1,9,1,8,2,10,1,9,1,10,1,24,1,8,1,9,1,24,1,9,1,13,1,24,1,9,1,8,1,13,1,8,1,13,1,7,1,13,2,8,2,13,1,7,1,6,1,7,2,13,2,24,1,13,1,24,1,8,2,7,1,24,1,10,2,13,1,7,1,9,1,24,1,8,1,7,1,9,1,8,1,24,1,13,2,8,1,13,1,8,3,13,1,9,3,10,1,13,1,9,1,10,1,9,1,8,2,24,1,8,1,7,1,13,3,7,3,8,1,7,1,8,1,6,1,7,2,6,1,8,1,13,1,8,1,7,1,8,4,24,1,8,1,13,1,8,1,13,3,24,1,13,1,8,1,13,1,8,1,9,1,8,3,24,1,13,1,9,1,24,1,9,3,8,2,13,1,9,1,8,3,9,1,8,1,13,1,9,1,8,3,9,1,13,2,9,1,10,1,9,1,10,1,9,2,8,2,9,1,8,2,9,2,24,1,8,2,9,2,24,1,10,1,8,1,24,1,8,3,10,1,9,1,24,1,9,1,13,1,8,1,24,1,8,3,10,1,9,1,12,1,10,1,9,2,12,1,11,1,10,1,11,1,9,1,10,1,11,2,9,1,10,1,9,5,10,2,11,1,9,1,8,1,10,1,11,1,10,1,9,1,8,1,17,1,9,2,11,1,9,3,12,1,8,1,9,4,8,1,9,2,8,4,9,1,8,1,9,1,8,2,10,1,24,1,8,2,24,1,9,1,24,1,9,1,13,5,7,1,9,1,13,1,9,1,8,1,9,1,11,1,12,2,10,1,9,1,8,1,9,2,11,1,17,1,16,1,17,2,16,1,9,1,16,3,11,1,17,2,11,1,16,1,11,1,16,1,9,1,11,2,16,2,9,1,11,1,16,1,11,1,16,1,11,1,10,1,9,2,11,1,9,1,11,1,16,1,10,1,11,1,9,1,11,1,9,1,6,1,13,2,8,1,9,4,11,1,10,2,11,1,9,1,11,3,9,1,11,1,10,1,11,1,12,2,17,25,11,6,10,1,9,1,12,3,17,1,12,1,10,2,11,1,10,1,9,2,8,1,13,2,30,1,6,1,7,1,8,1,13,1,9,1,8,1,17,1,12,1,11,1,24,1,10,1,12,1,9,1,12,1,11,1,10,1,17,1,11,1,8,1,10,1,9,2,13,1,9,2,13,1,17,1,11,1,13,1,8,1,12,1,11,1,9,1,11,1,9,2,10,1,13,1,8,1,13,1,8,2,9,2,13,1,9,1,8,1,13,1,9,1,8,1,13,1,8,2,9,3,11,1,8,1,9,2,13,1,6,1,28,1,30,1,13,1,8,1,17,1,11,1,16,2,11,1,16,4,11,4,9,1,11,1,16,1,11,2,17,1,11,1,16,1,17,1,16,1,11,1,16,2,11,1,16,1,11,2,16,12,11,1,16,3,11,3,16,4,17,1,16,4,11,1,16,8,11,1,16,3,17,1,11,2,16,2,9,1,17,1,16,6,9,1,16,1,9,2,11,1,9,1,16,1,11,1,16,1,11,2,16,1,11,1,16,1,10,1,16,1,9,1,13,1,11,2,9,1,11,2,17,1,9,1,17,1,9,1,11,1,10,1,16,1,11,1,16,3,9,2,10,1,13,1,11,1,9,2,8,1,11,1,9,2,11,1,9,2,16,1,11,2,9,6,16,1,10,1,11,1,10,1,16,2,11,2,9,1,16,1,11,7,9,1,16,2,17,1,11,1,17,1,11,3,16,1,11,1,16,4,17,1,16,1,17,1,9,1,17,1,28,15,9,1,14,1,16,1,11,1,17,1,24,1,8,1,24,2,10,1,9,1,24,1,13,1,7,2,6,2,13,2,30,2,13,1,7,1,24,1,17,1,12,1,24,3,7,1,28,6,6,1,24,1,8,1,6,2,28,2,29,1,28,1,30,1,28,7,30,3,6,1,13,1,29,1,28,1,29,1,13,1,6,1,29,2,28,6,30,1,6,1,30,1,29,1,6,1,8,1,17,6,12,1,16,1,17,6,11,1,17,4,16,2,12,2,11,1,16,1,11,1,17,2,11,1,17,3,10,1,13,1,10,1,13,1,10,1,12,1,17,1,9,1,17,2,12,2,8,2,9,2,12,1,17,2,13,1,7,1,13,1,11,1,13,1,8,1,13,2,8,1,24,1,10,1,9,1,10,1,13,1,6,1,9,1,12,1,8,2,12,2,9,1,11,1,10,1,17,1,10,1,17,6,9,2,8,2,24,1,13,1,11,1,17,1,10,1,6,1,7,1,28,1,29,1,13,1,12,2,8,1,7,1,9,1,10,1,9,1,8,1,10,1,}, {7,1,8,2,13,1,24,1,12,1,24,1,9,1,24,1,14,1,10,1,9,1,10,1,6,1,8,1,6,1,8,1,24,1,8,1,12,1,17,1,10,2,8,1,9,1,24,1,9,1,12,1,17,2,10,2,9,1,7,1,10,1,6,1,13,2,9,1,8,2,6,2,9,1,13,2,8,1,6,1,14,1,13,1,8,2,13,1,24,1,8,1,9,1,12,2,24,1,13,1,8,1,24,1,8,1,24,1,10,1,13,1,15,1,11,1,12,1,17,1,12,2,17,2,11,1,8,1,9,1,24,1,8,2,24,1,9,1,17,1,11,2,9,1,24,1,8,2,17,1,9,2,12,1,17,2,15,1,17,1,10,1,12,2,17,10,16,1,17,14,16,2,17,2,14,1,17,36,16,2,17,1,16,1,9,2,16,1,9,1,12,2,8,1,11,1,16,2,17,1,10,1,9,1,8,1,13,1,8,1,6,1,24,1,30,1,28,31,30,1,28,1,7,1,29,1,6,1,8,2,17,1,12,1,6,1,30,2,6,1,29,1,13,1,9,1,14,3,15,1,14,1,13,1,9,1,7,1,13,1,29,1,13,1,7,1,13,2,29,1,7,1,6,3,13,1,7,2,8,1,10,2,17,1,12,1,11,1,17,2,9,1,13,1,9,1,28,3,30,1,28,2,6,2,29,1,30,1,28,2,30,1,11,1,17,13,16,12,11,1,16,3,9,6,11,1,16,4,11,2,16,6,17,1,16,5,17,1,16,6,17,2,16,4,17,1,16,3,17,2,16,1,17,13,16,1,17,2,16,1,17,3,16,1,17,1,16,1,17,14,16,1,17,37,16,1,17,5,16,2,17,5,16,3,17,1,16,1,17,1,16,2,17,1,16,3,17,2,16,3,11,2,17,1,16,1,10,1,13,1,8,1,13,4,7,1,13,1,28,1,30,2,28,2,30,1,29,1,28,1,7,1,30,1,6,1,13,6,9,1,30,1,6,2,9,1,17,1,16,1,17,1,16,1,17,1,16,19,17,1,16,2,11,1,16,2,11,2,16,1,11,1,16,2,11,1,16,1,11,3,16,2,17,2,11,1,16,1,11,1,17,1,11,1,16,1,11,1,16,6,17,4,16,1,17,3,16,5,17,1,16,3,11,1,16,5,17,1,16,7,17,1,16,1,17,1,16,1,17,4,16,1,17,2,16,1,17,4,16,1,11,1,17,2,11,2,9,3,8,1,11,2,10,1,13,1,8,1,13,2,8,1,7,1,28,1,6,1,29,1,6,2,30,1,8,2,9,1,13,1,8,1,24,1,7,1,8,2,7,2,8,1,13,5,7,1,6,1,24,1,6,1,13,2,8,1,13,1,9,1,17,4,16,1,17,1,16,3,17,1,16,1,17,1,16,7,11,1,16,2,11,1,16,1,11,1,16,6,11,1,16,2,11,2,9,1,16,1,11,1,16,4,11,1,16,1,11,2,16,3,9,1,16,3,11,2,17,1,16,1,11,1,16,2,17,1,16,2,17,2,16,1,17,2,9,1,16,1,17,2,16,1,17,1,16,1,11,1,16,1,10,1,9,2,13,1,11,1,8,1,10,1,11,2,9,1,11,3,9,1,11,4,10,1,9,1,10,1,11,2,9,1,11,1,9,3,13,1,9,3,16,1,8,1,9,1,8,1,9,2,8,1,9,1,10,1,8,1,9,3,11,1,8,1,9,3,10,1,8,1,9,1,8,1,13,1,16,1,9,2,11,2,9,2,11,2,9,3,11,1,10,1,9,7,13,1,10,1,9,1,11,1,9,1,11,1,9,3,11,1,9,5,16,1,8,1,11,2,10,1,9,1,11,1,9,2,11,1,16,1,10,1,9,1,10,1,16,2,11,3,8,1,16,1,11,2,9,1,11,4,9,1,11,3,16,1,9,1,16,1,11,1,16,2,17,1,11,1,16,1,17,4,16,2,11,1,17,2,16,1,17,1,16,1,17,1,16,2,17,1,16,1,11,1,17,11,16,1,9,1,13,1,9,1,17,1,10,1,11,1,17,1,11,3,9,1,17,6,11,1,9,1,13,1,11,1,16,2,17,46,16,1,11,1,17,7,11,1,17,26,16,1,17,3,16,1,11,4,9,1,16,1,11,2,10,1,11,1,10,2,11,3,16,1,17,10,16,14,17,1,16,1,17,2,16,1,17,1,16,2,17,1,16,1,17,1,16,3,17,1,16,1,17,1,16,1,11,2,16,1,11,1,10,1,11,2,10,1,9,1,11,3,10,1,11,1,10,1,8,1,9,1,8,1,9,1,13,1,11,2,9,8,10,1,9,1,11,3,9,1,11,1,10,1,9,1,16,1,11,1,9,1,8,1,9,2,16,1,9,2,16,1,9,1,16,2,11,3,16,1,11,1,16,1,9,3,8,2,9,1,10,1,9,2,8,1,9,2,11,1,9,2,11,1,9,2,11,2,9,3,11,1,9,1,8,1,9,3,11,1,10,1,11,3,9,1,11,2,9,2,11,1,16,1,17,1,11,3,16,3,11,2,16,2,17,1,16,2,11,1,9,1,11,2,10,1,11,2,16,1,9,1,16,3,9,1,16,3,11,1,16,1,11,1,16,1,11,1,9,2,11,1,16,1,9,1,11,1,9,2,11,1,16,1,11,5,16,1,11,1,16,2,17,1,16,1,11,1,16,3,11,1,16,4,11,1,9,1,16,1,9,1,11,1,10,1,16,1,11,2,16,1,11,2,16,1,11,2,10,1,11,2,16,3,11,1,16,1,11,1,16,2,9,1,11,1,16,1,11,1,16,2,17,1,11,2,9,1,16,1,11,2,16,3,17,2,16,4,11,3,9,1,11,2,16,1,11,2,9,1,11,1,9,1,11,2,9,1,16,1,11,3,9,1,11,3,16,1,9,1,11,1,16,1,9,1,11,2,17,1,16,9,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,3,10,1,9,1,16,1,11,1,16,2,11,1,16,1,9,1,11,3,9,1,16,3,11,2,16,3,9,1,11,1,9,1,11,2,9,1,11,1,9,6,10,1,11,2,9,1,11,1,9,1,11,1,9,2,11,1,13,1,10,2,9,1,10,1,9,2,8,1,9,3,11,1,9,2,11,1,9,1,11,1,8,1,9,2,16,1,11,3,9,1,10,1,9,12,13,1,9,1,13,1,9,1,11,2,9,1,11,2,9,1,11,3,9,1,11,3,9,2,16,1,11,3,9,1,8,1,9,1,13,1,10,1,11,2,9,1,11,1,9,8,13,1,10,1,9,1,10,1,9,3,10,2,9,3,13,1,10,1,9,2,11,3,10,1,11,1,13,1,8,1,13,1,17,1,9,1,10,2,8,1,24,2,9,2,24,1,13,1,24,1,8,2,24,1,9,2,8,1,24,1,13,1,8,2,24,1,13,1,8,1,13,1,8,1,24,1,8,1,13,1,8,2,24,1,13,1,24,3,13,1,24,1,9,2,24,1,9,1,8,1,9,2,8,1,24,1,8,2,9,2,8,1,24,1,8,1,13,1,8,2,7,1,13,2,8,1,6,1,30,1,13,4,8,1,13,1,8,2,13,2,8,2,24,2,13,1,8,1,13,1,8,1,13,1,8,1,28,9,29,1,30,1,6,1,13,1,8,1,25,1,6,1,8,1,24,2,13,1,8,1,12,2,8,1,13,1,17,1,24,1,12,1,17,2,12,2,24,1,11,1,12,1,10,3,17,5,12,2,11,1,9,2,10,1,12,1,10,1,11,1,12,1,24,1,10,1,11,1,9,1,8,1,9,2,8,4,7,1,9,1,8,2,24,1,13,1,7,1,24,1,9,1,24,1,13,1,7,1,13,2,6,1,13,1,8,1,24,1,13,2,8,3,24,2,9,1,24,1,8,1,9,1,8,1,24,1,13,1,9,1,13,1,8,1,7,1,24,1,13,1,8,2,13,1,7,1,13,1,8,1,9,1,11,1,24,1,9,1,8,1,9,1,10,1,9,1,13,1,8,1,9,1,13,2,8,1,24,1,7,1,6,2,13,1,6,1,13,2,7,1,13,1,6,1,13,1,6,1,13,2,7,1,24,2,8,3,13,2,24,1,8,1,13,1,8,1,13,1,8,1,10,1,9,1,8,1,24,1,13,1,9,1,13,1,10,1,9,1,8,1,9,4,8,1,9,5,8,1,13,1,8,3,9,1,7,1,13,1,8,6,9,1,10,1,9,2,13,1,8,1,9,1,8,1,24,2,9,1,13,1,24,1,9,1,10,1,24,1,8,2,24,1,11,1,8,1,9,1,8,2,24,1,13,1,8,2,9,1,10,1,9,1,11,1,9,1,8,1,9,5,10,3,11,1,9,5,12,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,12,1,11,1,9,2,11,2,9,1,10,1,9,2,24,1,9,1,11,2,9,6,8,1,9,1,8,1,24,1,13,1,9,1,13,1,9,1,8,2,24,1,9,2,24,1,8,1,24,2,8,1,13,3,8,1,13,1,8,4,24,1,13,1,8,1,13,1,9,1,13,1,17,2,9,2,8,2,11,1,9,1,17,3,11,1,16,1,17,1,8,1,16,2,11,1,9,1,11,1,13,1,9,1,16,1,17,1,11,1,16,3,17,3,16,1,17,1,16,2,11,1,16,1,11,1,16,2,11,1,9,2,30,1,6,1,13,2,9,2,8,1,10,1,9,2,11,1,9,2,10,1,8,1,11,3,9,1,11,6,17,1,12,1,17,20,12,1,11,1,9,2,11,1,10,1,12,1,10,2,11,2,10,1,11,3,9,3,13,3,9,1,13,1,9,1,13,2,8,1,13,1,9,1,10,1,12,1,17,1,12,1,10,1,11,2,9,1,10,1,9,1,24,1,8,1,13,1,8,1,11,1,9,1,12,1,9,1,13,1,11,1,10,1,11,1,10,1,12,1,9,1,17,1,9,2,10,1,13,2,8,1,13,4,8,1,9,1,8,2,13,1,8,1,13,1,9,1,13,1,7,1,8,1,13,1,9,3,8,1,13,1,9,1,13,1,9,1,8,1,30,3,7,1,13,1,16,3,11,1,16,4,11,1,16,1,11,4,10,1,11,1,16,1,9,1,16,1,11,1,17,1,16,1,17,1,16,2,11,3,16,3,11,1,16,2,11,1,16,2,11,2,16,3,11,1,16,2,11,1,16,2,9,1,11,1,16,2,17,1,16,2,11,3,16,2,11,3,16,2,9,1,11,2,16,1,11,1,16,4,11,1,16,1,17,1,11,1,16,5,11,3,8,1,9,4,11,1,9,1,11,2,9,1,16,1,11,4,17,1,9,1,11,1,9,1,16,1,10,1,9,1,11,1,16,2,11,1,9,1,11,1,16,1,9,1,11,1,9,2,10,1,9,1,11,1,9,2,8,1,11,1,9,2,11,3,9,2,16,1,11,1,9,6,11,1,9,2,11,4,10,1,9,1,11,2,9,2,11,2,9,1,10,1,11,1,16,1,11,3,16,2,11,1,16,2,11,2,16,6,11,2,28,15,9,1,15,1,16,2,12,1,13,1,9,1,7,1,6,1,9,3,8,2,13,1,7,1,6,2,28,1,30,1,7,1,13,1,8,1,12,2,10,1,9,2,12,1,6,1,28,6,30,1,8,1,24,1,13,1,29,1,13,1,30,1,28,2,30,1,28,3,30,1,28,7,29,1,28,3,6,1,28,2,30,1,28,7,30,2,29,1,30,1,13,1,17,1,14,1,16,1,17,2,16,2,17,7,16,1,17,4,16,1,17,1,11,1,9,2,17,1,16,1,17,1,11,1,16,1,17,3,9,2,8,1,13,1,10,1,8,1,11,1,17,3,11,1,9,2,12,1,10,1,12,1,24,1,9,1,12,1,9,1,24,1,10,1,24,1,13,1,24,2,12,1,9,1,8,1,24,1,9,1,17,1,9,2,12,1,9,1,17,1,24,1,9,2,17,4,11,1,12,1,17,4,9,1,10,1,12,1,6,1,13,1,12,1,24,1,17,1,12,1,17,1,13,1,28,2,29,2,9,1,12,1,24,1,7,1,13,1,12,1,9,1,15,1,24,1,}, {13,1,8,1,29,1,8,1,24,2,10,1,12,1,11,1,15,1,12,1,11,1,8,1,24,1,8,2,6,1,7,1,12,1,10,1,17,1,12,1,8,1,9,1,16,1,13,1,16,1,12,1,14,2,15,1,8,2,6,1,8,1,13,1,7,1,10,1,24,1,9,1,24,1,8,1,7,1,13,1,8,1,6,1,13,1,8,1,13,3,10,1,7,1,9,1,24,1,8,3,24,1,13,1,24,1,13,1,8,2,24,2,9,1,24,1,15,1,14,1,10,1,17,2,14,1,17,1,8,3,13,2,9,1,8,1,15,1,17,2,8,1,24,1,9,1,10,1,12,1,9,1,24,1,17,5,8,1,12,1,17,3,16,1,17,1,16,1,17,1,11,1,16,1,17,21,11,1,14,1,16,1,17,30,16,1,17,6,9,2,11,1,10,1,11,1,9,1,16,1,9,1,16,1,17,1,12,1,17,2,9,1,8,1,9,1,13,1,8,2,13,1,28,30,29,1,28,1,29,1,28,1,30,1,28,1,29,1,6,1,10,1,24,1,13,1,6,1,28,1,13,1,29,1,8,1,24,1,17,1,14,1,17,1,15,1,10,1,14,1,10,1,9,1,8,1,6,2,29,2,8,1,7,2,29,1,8,1,13,2,24,1,8,1,24,1,9,1,15,1,9,1,12,1,17,3,9,1,8,1,30,1,28,1,30,2,28,2,30,1,13,1,6,1,29,1,28,3,30,1,11,1,17,13,16,2,17,1,16,14,11,1,9,1,11,1,16,11,17,1,16,1,17,1,16,1,17,3,16,1,17,1,16,3,17,1,16,14,17,1,16,1,17,22,16,1,17,66,16,2,17,1,16,1,11,1,16,2,11,3,9,1,11,1,9,2,8,1,13,2,6,2,30,1,28,2,6,1,30,1,13,1,6,2,30,1,28,1,6,3,13,2,7,1,6,1,13,1,6,1,13,6,8,1,6,1,8,1,13,1,6,2,13,1,9,1,16,1,17,4,16,4,17,1,16,6,17,1,16,8,11,2,17,1,9,1,11,2,16,7,11,1,16,6,11,1,16,5,11,1,16,4,17,1,16,2,17,1,16,9,17,1,16,5,17,3,16,1,17,1,16,1,17,3,16,3,17,14,16,1,17,3,11,2,16,1,11,1,9,1,16,1,11,2,16,1,9,3,8,1,9,1,8,4,13,1,30,1,6,1,7,1,13,1,6,1,13,1,6,1,7,1,8,1,7,3,13,1,8,3,13,1,8,2,13,2,8,1,13,1,24,1,8,1,13,1,7,1,13,4,9,1,17,5,16,1,17,2,16,3,17,1,16,1,17,3,11,1,16,2,11,1,16,1,17,1,11,2,16,7,11,4,16,1,11,2,9,1,16,1,9,1,16,2,11,3,16,1,11,2,16,1,11,1,16,4,17,1,11,1,16,2,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,7,17,1,16,2,10,1,11,1,9,2,13,1,9,1,11,1,9,3,11,1,9,3,11,1,9,1,16,1,9,2,10,1,9,2,10,1,16,1,10,1,11,1,9,1,8,1,11,1,9,2,11,1,9,1,11,1,9,3,16,1,8,2,9,2,8,1,10,3,9,1,8,1,9,6,11,1,16,1,9,2,16,1,9,4,10,1,9,1,8,1,11,1,10,1,11,1,9,1,11,2,9,2,8,1,11,4,9,2,10,1,9,2,10,1,8,1,9,2,11,1,9,1,11,3,9,1,16,1,9,2,16,1,11,1,9,1,11,1,10,1,9,1,10,2,9,1,11,1,10,1,11,2,10,1,11,2,16,1,11,4,16,1,11,2,9,1,11,4,9,1,11,1,16,5,11,1,17,2,16,1,13,1,9,2,11,1,17,2,16,1,17,1,16,1,17,4,11,3,17,5,16,1,17,4,10,1,9,2,11,1,16,1,17,2,11,1,17,2,16,1,17,4,11,1,16,1,11,3,16,1,17,49,12,1,17,7,16,1,17,21,16,2,17,3,16,4,11,1,16,2,11,1,16,3,11,1,9,1,16,1,11,1,10,1,9,1,16,2,11,2,16,2,17,9,16,16,17,1,16,1,17,1,16,2,17,1,16,1,17,2,16,2,17,1,16,1,17,2,16,1,11,2,9,1,11,1,9,1,11,1,9,2,16,1,11,1,9,1,11,1,9,12,10,1,9,2,11,1,9,3,10,1,11,1,9,1,8,1,9,1,10,1,9,1,11,3,9,3,11,1,9,1,16,1,11,3,16,2,9,2,11,1,16,1,11,2,9,2,11,1,13,1,11,1,10,1,11,1,10,1,9,1,11,1,9,2,16,1,9,1,10,3,11,2,9,1,16,1,9,1,11,3,9,2,11,2,9,1,16,1,11,2,10,1,11,4,10,1,11,5,9,1,17,1,11,2,17,2,16,5,9,1,11,1,16,2,11,1,16,1,11,1,16,1,11,3,16,5,11,1,16,1,11,1,10,2,11,1,10,1,11,1,9,3,10,1,9,2,16,2,9,1,11,1,16,2,11,1,16,1,11,1,17,1,16,3,11,1,16,1,17,1,9,1,16,2,9,1,11,3,16,2,11,1,16,1,11,1,16,1,9,1,16,2,11,2,10,1,9,1,16,1,11,1,16,3,17,1,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,6,11,2,16,2,10,1,16,1,17,1,16,1,11,1,16,3,11,1,9,1,16,1,9,1,16,2,11,1,9,1,11,1,9,1,16,1,9,3,11,1,9,1,16,3,11,1,9,2,16,1,9,2,16,1,17,1,16,2,11,1,16,1,11,1,17,1,11,2,16,4,11,3,9,1,16,1,11,2,16,1,11,4,9,1,11,1,9,1,16,4,11,1,16,1,11,1,17,1,11,5,16,2,11,4,9,3,11,1,16,1,11,2,9,1,16,1,9,1,10,1,11,2,16,1,10,1,9,2,11,1,9,1,11,2,9,1,16,1,11,2,9,3,10,2,11,1,16,1,9,1,8,1,9,1,16,1,9,1,11,1,16,1,11,1,16,1,10,1,11,2,9,1,11,2,9,7,13,1,9,4,11,1,9,3,13,1,11,1,9,1,11,2,9,1,10,2,11,2,9,1,16,1,9,3,17,1,11,1,9,4,11,1,9,1,10,1,9,7,13,1,9,1,10,1,9,1,8,1,9,1,11,2,9,1,10,1,9,2,11,1,9,3,8,1,13,1,9,2,8,1,9,4,16,1,8,1,9,2,16,1,10,1,24,1,11,1,8,1,9,4,8,2,9,1,8,6,9,1,24,1,10,1,24,2,7,1,8,1,13,2,8,1,13,1,10,1,9,1,24,1,8,5,9,1,8,1,9,1,13,1,12,1,9,1,8,1,9,1,8,3,13,2,8,1,24,1,8,1,24,2,7,2,9,1,8,2,7,1,13,1,7,1,13,4,7,1,13,1,7,1,13,1,7,2,8,4,24,1,13,1,8,1,9,1,8,2,13,1,28,8,30,1,6,1,7,1,13,1,7,2,25,1,8,2,25,1,7,1,10,1,24,1,13,1,12,1,10,2,12,2,10,1,12,1,24,1,10,1,9,1,12,3,10,1,17,1,11,1,17,5,9,1,8,1,9,1,10,1,11,2,9,1,11,1,9,4,8,2,9,1,12,1,10,1,9,2,24,3,8,3,9,1,8,1,13,1,8,1,13,1,6,1,24,1,8,1,7,1,13,2,7,1,13,1,7,1,9,1,24,1,10,2,8,1,9,1,12,1,9,1,12,1,8,1,9,1,13,1,8,1,24,1,9,1,8,1,13,3,7,1,13,1,8,1,24,1,8,1,24,1,8,1,13,1,24,1,9,1,8,1,9,4,8,1,9,2,13,1,9,1,8,1,9,1,13,3,6,1,13,1,6,1,13,1,8,1,13,2,8,1,6,1,7,1,13,1,8,1,7,1,9,1,13,1,24,1,9,1,8,1,13,2,7,1,8,1,13,1,24,1,8,1,13,2,9,1,12,1,24,1,13,1,10,1,9,1,13,1,9,1,24,1,13,1,9,1,11,1,24,1,8,2,13,1,24,1,9,2,8,2,9,3,8,1,9,2,10,1,9,2,13,1,9,1,8,1,11,1,13,1,9,1,8,5,11,1,13,1,8,2,9,1,10,1,8,2,24,1,8,3,13,1,9,1,8,1,7,2,8,2,13,1,8,1,9,3,8,1,9,3,10,1,13,1,11,1,10,1,9,1,11,1,9,1,10,1,11,2,10,1,11,1,12,1,10,3,9,1,8,1,11,1,8,1,11,1,9,1,10,1,9,1,11,2,9,1,8,1,9,1,10,2,9,2,8,1,9,2,10,1,9,1,8,1,9,1,13,1,8,1,9,3,7,1,24,1,9,2,8,2,24,1,8,1,13,1,8,2,9,1,13,1,8,2,13,1,8,2,13,2,8,1,13,1,8,3,13,1,9,1,8,1,9,2,11,1,9,2,11,4,17,2,16,1,17,1,16,2,17,2,16,2,17,1,16,3,11,1,16,2,11,1,17,3,11,1,16,1,9,1,16,1,9,1,16,1,9,1,16,1,11,1,9,2,13,1,6,1,13,1,8,1,11,3,17,1,9,2,11,2,10,1,9,1,11,1,9,2,10,1,11,3,10,2,11,1,12,1,11,2,16,1,17,5,16,1,17,15,12,1,11,2,12,1,10,2,11,2,12,1,11,3,9,2,11,1,9,1,8,1,13,3,8,2,9,1,8,1,13,1,10,1,9,1,11,1,10,1,11,1,17,2,12,1,24,1,11,1,8,1,10,1,13,1,8,1,9,1,10,1,9,1,11,1,8,1,10,1,11,1,10,1,9,1,12,1,10,1,12,1,8,1,17,1,11,2,8,1,11,1,8,1,13,1,9,1,13,1,9,1,8,1,7,1,24,1,13,1,9,1,13,2,8,1,6,1,13,1,8,3,10,1,13,3,9,1,8,1,9,1,11,1,13,1,9,1,6,1,30,1,6,1,13,1,8,1,17,1,16,1,11,1,17,1,11,1,17,1,16,2,10,1,11,2,9,1,16,1,11,2,9,1,11,1,9,1,10,1,11,2,16,6,9,1,16,3,11,3,16,1,11,1,16,2,11,2,16,2,11,1,16,3,11,2,16,1,11,3,17,1,11,1,16,1,17,1,16,1,17,1,11,1,16,1,17,1,9,1,16,2,11,1,16,3,11,1,16,2,11,1,9,1,11,1,16,1,17,1,16,2,17,1,11,1,16,3,11,2,16,1,9,1,11,1,9,1,16,1,9,2,11,1,9,2,11,2,9,2,11,2,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,3,16,1,11,2,16,1,11,3,9,1,11,1,9,2,8,1,13,1,11,1,9,3,11,1,9,1,11,3,9,1,16,1,11,1,9,1,11,1,9,5,11,1,9,1,10,1,11,1,9,1,11,1,9,2,8,1,9,1,16,1,9,1,10,1,9,1,11,1,9,1,11,1,16,2,11,1,16,2,11,1,16,4,11,1,16,1,11,2,16,1,11,2,9,1,28,14,30,1,9,1,15,1,9,1,17,1,9,2,7,1,13,1,7,1,13,3,8,1,13,1,24,1,13,1,29,1,28,1,6,1,29,1,7,1,13,1,12,1,17,2,12,1,8,1,10,2,13,1,28,7,24,1,8,1,24,1,13,1,6,1,30,1,28,1,30,2,28,8,30,1,28,1,6,1,28,19,13,1,14,1,17,5,16,1,17,12,16,1,17,2,16,1,12,1,10,2,17,1,12,1,17,4,11,1,24,1,13,1,24,1,12,1,16,1,9,1,17,3,11,1,12,2,9,1,24,1,17,1,24,1,17,1,12,1,9,1,24,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,24,1,9,1,24,1,11,1,8,1,10,1,11,1,15,1,8,1,12,1,9,1,12,1,17,3,12,1,17,1,12,1,17,3,9,2,13,2,8,1,13,1,9,2,17,1,15,1,6,1,28,1,29,2,13,1,12,1,8,1,12,1,24,1,12,1,10,2,9,1,24,1,}, {8,3,13,1,24,2,9,1,12,1,9,1,17,2,15,1,7,1,8,1,13,1,8,1,13,1,8,1,13,1,24,1,17,1,15,1,16,1,9,1,11,1,8,1,11,1,14,4,13,1,24,2,8,1,12,1,8,1,24,1,8,1,7,1,6,1,8,1,9,1,8,7,6,1,13,1,8,1,24,5,8,1,24,1,8,2,7,1,24,2,13,1,24,1,9,1,15,1,14,1,17,1,15,1,17,2,12,2,13,1,8,1,10,1,13,1,9,1,17,4,12,1,9,1,24,1,13,1,15,1,10,1,9,1,15,1,9,1,17,1,9,3,11,2,17,6,16,1,11,1,17,3,10,1,17,15,16,1,17,1,16,1,14,1,17,35,14,1,17,1,16,3,9,1,8,2,9,1,11,2,12,1,16,1,17,3,16,1,7,1,8,2,13,1,24,1,28,32,30,1,6,1,28,1,29,1,8,1,6,1,7,1,10,1,17,1,6,2,13,1,8,1,13,1,7,1,12,1,17,3,12,1,15,1,11,1,13,3,6,2,7,1,6,2,13,1,8,1,13,1,8,2,24,1,6,1,24,1,9,2,17,3,16,1,17,2,16,1,29,1,30,1,28,4,30,1,6,1,29,1,6,1,30,1,28,4,17,14,16,1,17,2,16,4,17,2,16,22,17,1,16,1,17,1,16,2,17,2,16,4,17,1,16,3,17,1,16,2,17,1,16,10,17,22,16,1,17,57,16,1,17,1,16,6,11,1,10,1,9,2,13,1,8,1,13,4,6,2,29,1,7,1,28,1,13,2,30,1,6,3,7,1,13,1,6,2,29,1,30,1,6,1,30,1,29,1,30,1,6,2,13,1,6,1,13,5,8,2,13,2,7,1,13,1,7,1,13,1,8,1,13,1,6,2,9,1,17,11,16,1,17,1,16,11,17,1,16,1,11,1,16,2,11,2,16,9,17,1,16,4,17,1,16,6,17,1,16,3,17,1,16,3,17,1,11,1,16,4,17,1,16,2,17,1,16,4,17,1,16,2,17,1,16,1,17,5,16,1,17,20,16,2,17,2,12,2,11,1,8,1,11,2,8,1,9,1,10,1,13,1,9,1,24,1,8,1,13,2,8,1,30,1,13,1,7,1,6,1,8,1,13,1,7,1,8,1,10,1,8,1,13,1,8,1,6,1,7,1,13,2,7,2,13,2,7,2,13,1,7,1,8,1,7,1,13,1,8,2,13,2,11,1,17,4,16,1,17,2,16,1,17,1,16,1,17,2,16,2,17,3,16,1,17,1,16,5,11,1,16,8,9,1,17,1,11,4,16,1,10,1,11,1,16,1,11,3,16,2,11,1,16,8,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,3,17,1,16,3,17,1,16,1,17,1,16,1,9,1,11,1,13,1,9,3,11,1,10,1,11,1,9,1,11,1,10,1,9,3,16,1,11,1,9,1,11,1,9,1,11,2,9,1,16,1,11,2,9,1,10,1,8,1,9,5,11,1,8,1,9,1,11,1,10,1,9,1,10,1,9,1,13,1,9,2,8,1,9,3,11,1,9,1,13,1,9,1,11,1,8,1,11,1,9,2,10,1,11,1,9,2,10,1,9,3,11,1,9,2,10,1,16,1,9,2,11,1,9,2,11,1,8,1,9,1,11,1,9,1,10,1,9,4,16,2,11,1,9,3,11,1,9,1,17,1,11,2,9,2,16,1,11,1,9,2,11,1,9,1,10,2,11,3,9,1,8,1,11,1,16,1,11,3,17,1,11,1,9,1,10,1,9,1,10,1,11,1,9,1,11,2,16,1,11,1,16,1,11,1,9,1,11,1,16,1,17,2,11,1,9,2,11,1,17,3,16,1,17,1,16,1,17,2,16,3,11,1,16,1,17,1,16,1,17,2,16,1,17,3,16,1,17,1,9,1,17,1,9,1,11,1,16,1,17,9,11,1,16,1,17,1,16,3,17,48,12,1,11,1,17,4,11,1,17,24,16,1,17,3,16,1,17,1,16,4,11,1,16,1,11,3,16,2,17,3,11,2,9,1,10,1,11,1,16,4,17,8,16,6,17,1,16,2,17,1,16,9,17,3,16,3,17,2,16,4,17,3,11,1,9,1,10,1,9,2,11,2,9,2,11,2,9,14,13,1,10,1,9,3,10,1,9,1,10,1,9,6,16,1,11,7,16,1,11,3,16,1,11,1,16,1,11,1,9,1,17,2,11,4,16,2,11,2,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,2,10,1,11,1,9,1,11,1,9,1,16,3,9,1,16,1,11,1,16,1,11,1,9,1,16,2,10,1,16,4,17,2,11,2,16,2,9,2,11,3,16,1,11,2,10,1,9,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,10,1,11,1,16,1,10,1,11,1,10,1,11,1,16,1,9,2,10,1,11,2,16,1,8,1,16,1,11,1,9,3,11,3,17,1,16,1,11,1,16,2,17,1,10,1,11,1,16,2,9,1,11,1,9,1,16,1,9,2,11,1,9,1,10,1,16,1,11,3,16,2,11,2,16,2,11,3,16,7,11,1,16,1,11,3,16,2,11,1,17,1,16,3,9,1,11,1,16,1,11,2,16,1,17,1,16,6,11,1,16,5,11,2,16,1,11,5,9,1,11,1,16,1,9,1,11,2,16,1,9,1,11,2,16,1,9,1,16,4,11,1,16,5,11,3,16,1,11,2,16,1,11,3,16,2,11,1,10,1,11,1,9,1,11,1,9,1,16,1,17,1,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,17,1,11,1,16,4,11,1,9,1,11,4,9,1,16,1,11,1,16,1,11,4,16,1,10,1,11,1,9,1,16,1,10,1,11,1,9,1,11,1,16,1,11,1,16,1,11,1,9,4,11,2,9,1,11,1,9,2,16,1,11,2,9,1,16,1,11,1,9,2,11,1,9,2,11,1,9,4,11,2,9,1,11,1,9,1,11,1,9,3,13,1,9,5,11,4,16,2,9,1,11,1,16,1,9,2,17,1,16,1,9,11,11,1,9,4,10,1,9,1,11,2,9,2,11,1,9,1,11,1,9,1,11,2,9,5,10,1,13,1,10,1,9,1,10,2,11,1,9,1,7,1,17,1,11,2,9,1,10,1,24,1,9,1,8,2,9,3,13,1,8,1,13,1,8,4,9,1,13,2,9,1,13,1,9,1,6,1,13,1,24,2,13,1,6,1,7,1,24,1,13,1,8,1,24,2,8,3,9,2,24,1,10,1,9,1,24,1,8,2,24,1,13,1,9,1,8,2,24,1,13,2,7,1,8,1,13,3,6,1,13,2,7,1,6,2,13,5,8,1,24,1,13,5,9,1,13,1,9,1,8,1,17,1,28,7,30,1,28,1,29,1,7,1,6,1,8,2,7,1,24,2,13,1,8,5,13,1,12,1,10,1,9,1,10,1,12,1,24,1,12,1,9,1,24,1,12,1,11,1,24,1,12,1,17,1,10,1,17,5,9,1,10,1,16,1,10,2,9,2,10,1,9,1,11,1,9,1,24,2,8,1,13,1,9,2,8,1,9,1,8,3,13,1,8,3,24,1,8,1,7,4,8,1,7,1,8,1,6,2,13,1,24,1,13,1,8,1,9,2,10,1,9,1,10,1,24,1,9,1,12,1,13,1,8,1,9,1,8,2,6,1,13,1,8,1,29,1,7,1,24,1,7,1,13,1,8,1,13,1,24,1,8,1,13,1,8,1,9,1,11,1,9,1,24,1,9,1,17,1,13,1,9,1,8,2,6,1,9,1,8,1,13,1,8,2,6,1,13,1,7,2,29,1,13,1,7,1,13,1,7,1,8,4,13,1,9,1,7,1,24,1,8,1,6,1,7,1,24,1,6,1,13,1,7,1,13,1,24,1,13,1,8,2,24,2,8,1,24,1,9,1,8,1,13,1,24,1,12,1,9,3,8,1,9,1,24,1,13,1,24,1,8,1,9,1,13,1,9,2,8,1,9,1,13,1,9,2,24,1,8,2,24,1,9,1,8,1,24,1,13,1,9,1,8,3,13,1,8,2,9,2,8,1,24,1,13,1,8,1,13,1,24,1,8,1,24,1,13,2,8,1,24,1,8,1,24,1,8,3,11,1,8,2,9,2,10,1,9,1,11,1,9,1,10,1,11,1,8,1,11,1,9,2,11,2,10,1,12,1,10,1,9,1,11,1,9,2,10,1,9,3,11,1,9,1,13,1,9,1,10,1,8,3,9,3,8,1,9,3,8,1,9,1,8,1,13,1,8,2,9,2,8,1,9,1,8,2,10,1,24,1,9,1,8,4,13,1,9,1,8,1,7,1,13,4,24,1,13,2,8,2,13,2,9,2,8,1,9,1,8,1,16,1,11,3,9,2,17,1,11,1,16,1,11,1,16,1,17,1,16,1,17,1,11,1,17,4,16,2,17,2,16,1,11,1,16,1,17,1,16,2,17,1,16,2,11,1,16,2,17,1,11,2,13,1,17,1,11,1,17,2,12,1,17,1,12,1,11,7,9,1,11,4,10,1,11,3,9,2,11,2,17,17,12,2,17,1,12,1,11,3,10,2,11,1,9,3,11,4,9,1,13,2,6,1,9,1,13,1,9,1,7,1,8,1,7,1,13,1,10,1,8,1,9,1,12,1,10,1,11,1,17,2,10,2,24,1,8,1,13,1,24,2,9,3,8,1,17,1,11,1,12,1,10,1,12,1,11,4,12,1,10,1,13,1,9,1,11,1,13,1,11,1,9,1,8,1,13,1,7,1,9,1,6,1,24,1,9,2,8,1,6,1,9,1,13,2,9,1,7,1,13,1,8,1,13,1,9,2,10,1,8,2,13,1,6,2,30,1,13,2,11,1,17,1,16,1,17,1,16,2,11,1,16,3,9,1,11,1,16,1,10,1,9,1,11,2,16,1,9,2,11,3,16,1,11,3,9,2,13,1,9,2,16,1,11,1,9,2,11,1,16,1,11,1,10,1,16,2,11,2,16,1,10,1,11,2,9,1,11,1,9,1,16,3,11,1,16,1,11,1,16,1,17,1,16,3,11,2,16,1,11,1,16,1,11,2,16,1,11,2,16,1,10,1,11,2,16,1,11,1,17,2,11,2,16,1,11,1,16,1,11,2,9,1,10,1,9,1,10,1,11,2,10,1,9,4,8,1,9,2,11,3,9,1,11,1,9,2,16,1,9,1,16,3,11,1,16,2,11,1,16,1,9,1,16,2,10,2,11,2,9,2,11,2,9,4,11,2,13,1,9,3,8,1,9,2,10,1,9,2,11,3,9,4,11,1,9,1,16,1,9,2,11,1,16,2,11,1,16,1,9,1,16,1,11,1,16,1,11,1,16,6,9,1,11,2,16,1,13,1,28,14,30,1,16,1,15,1,9,1,12,1,10,1,9,1,8,1,13,1,6,2,29,1,13,5,6,1,28,1,30,1,29,1,8,1,24,1,12,1,8,1,12,1,17,1,8,1,13,1,8,1,6,1,28,6,30,1,24,1,13,1,24,2,30,1,28,3,29,1,28,11,6,1,28,3,30,1,28,11,30,1,28,2,13,1,16,1,17,18,16,1,17,1,12,1,16,1,17,1,16,2,17,1,11,1,17,4,9,3,16,1,10,1,12,1,16,1,17,3,12,1,8,1,10,1,12,1,9,1,12,3,10,1,9,1,24,1,13,1,9,1,8,1,6,1,24,2,10,1,9,1,12,1,8,2,11,1,24,2,9,1,24,1,8,1,24,1,8,1,17,4,9,2,17,4,8,1,9,1,8,1,7,1,13,1,10,1,9,2,17,1,12,1,13,1,28,1,6,1,30,1,7,1,9,1,24,1,8,1,6,1,9,1,8,1,10,1,12,1,10,1,}, {8,1,7,2,8,1,12,2,17,1,12,1,15,1,14,1,12,2,24,1,7,2,10,1,13,1,8,1,24,2,11,2,17,1,16,1,12,1,9,1,12,1,17,1,12,1,15,1,10,1,8,1,7,1,9,1,12,1,8,1,24,2,6,1,24,1,13,1,8,1,13,2,9,1,8,1,24,1,13,2,8,1,24,1,8,1,7,1,13,1,6,1,13,3,8,2,9,1,13,2,8,2,13,1,10,1,24,1,9,1,15,1,9,1,17,1,15,1,17,1,15,1,12,1,8,1,24,1,13,1,8,1,13,1,17,1,15,1,17,1,9,1,10,1,7,1,24,1,12,1,17,1,9,2,11,1,17,3,16,1,9,1,16,2,17,1,14,1,17,2,16,1,9,1,16,1,17,1,9,1,17,23,14,1,17,37,11,1,8,1,9,1,8,1,9,1,12,1,10,1,17,1,11,1,17,3,11,1,24,1,13,2,8,1,24,1,7,1,28,31,29,2,28,1,29,2,6,2,12,1,17,1,8,1,7,1,13,1,7,1,8,2,15,1,14,1,17,1,12,1,16,1,12,1,9,1,8,3,24,1,6,1,7,1,8,1,13,1,7,1,8,1,9,1,8,1,24,1,7,1,8,3,11,1,15,1,17,1,16,1,17,3,16,1,6,1,30,1,28,2,29,1,28,1,6,1,30,1,28,1,6,1,30,2,28,3,13,1,17,2,16,1,17,12,16,2,17,2,16,2,17,3,16,4,17,1,16,2,17,3,16,1,17,1,16,3,17,1,16,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,5,17,1,16,7,17,1,16,10,17,75,16,1,17,1,16,5,8,1,9,1,8,1,9,1,13,1,9,1,13,2,6,2,28,1,30,2,6,1,13,6,8,1,6,1,13,2,8,4,13,3,8,1,13,3,6,1,8,1,13,5,8,1,13,1,8,2,13,1,6,1,13,1,8,1,13,3,8,1,13,1,6,1,7,1,13,1,9,1,17,10,16,1,17,1,16,1,17,2,16,2,17,1,16,7,17,1,16,3,11,1,16,8,17,1,16,2,11,1,16,1,17,1,16,5,17,1,16,4,17,2,16,1,17,2,16,1,17,3,16,5,17,1,16,1,17,1,16,3,17,1,16,1,17,2,16,1,17,1,16,3,17,6,16,1,17,16,16,1,9,2,17,1,12,1,11,2,12,1,17,2,11,1,24,1,9,2,8,1,24,1,8,1,13,3,6,1,29,1,7,1,6,2,13,1,8,1,7,1,8,1,13,1,24,1,13,3,24,1,13,1,6,1,29,1,24,1,8,2,13,1,8,1,13,5,8,1,13,2,8,1,17,3,16,2,17,1,16,1,17,1,16,2,17,2,16,1,17,1,16,1,17,3,16,1,17,1,16,2,11,1,16,3,11,1,16,2,17,1,16,1,11,1,16,2,11,1,16,2,11,2,16,1,11,1,16,1,17,1,16,6,11,1,17,1,16,1,11,1,16,2,17,1,11,1,17,1,11,1,16,1,17,1,16,2,17,1,11,1,17,1,16,1,17,2,16,1,17,1,16,3,9,1,11,3,9,1,13,1,9,5,16,2,13,2,11,1,9,2,10,1,11,2,9,6,10,1,9,10,13,1,9,2,13,1,9,3,13,1,11,1,13,1,9,1,8,1,9,1,10,1,11,2,8,2,13,1,11,1,9,7,11,2,9,3,11,2,10,1,9,1,16,2,11,1,10,1,11,4,9,1,10,1,9,1,11,1,9,1,13,1,11,1,9,1,11,1,16,1,9,1,11,3,9,3,11,2,9,1,10,1,11,1,9,1,11,3,9,2,11,1,10,1,11,1,9,3,11,2,16,1,11,1,16,1,11,1,9,1,11,2,9,2,11,4,16,2,17,1,11,1,16,1,17,2,9,1,11,2,17,2,16,1,17,1,16,1,17,1,16,6,11,1,16,1,17,4,16,3,17,1,16,1,9,1,11,2,9,1,17,8,16,1,11,1,16,3,17,49,12,1,17,1,11,1,10,1,16,3,17,26,16,1,17,6,16,4,11,1,16,1,11,1,16,5,17,3,16,2,11,1,16,3,11,1,17,11,16,1,17,2,16,12,17,1,16,2,17,1,16,1,17,1,16,8,17,2,11,1,9,2,11,3,9,1,11,1,9,1,11,4,9,1,11,5,9,2,11,1,9,1,16,1,9,1,8,1,9,2,11,1,17,2,16,1,17,6,11,1,16,1,9,1,11,1,17,1,9,1,10,1,17,2,16,2,11,1,17,1,11,1,16,2,17,2,11,1,9,2,8,1,9,3,16,1,9,2,10,1,9,1,7,1,11,1,16,1,9,2,11,1,8,1,13,2,7,1,6,1,13,1,8,1,9,2,8,1,16,1,9,1,16,1,9,1,16,2,11,1,9,1,11,2,13,1,11,2,17,1,11,2,16,1,11,1,9,1,13,1,11,1,16,1,17,2,11,1,16,1,17,3,16,2,17,1,11,1,9,4,17,1,11,1,16,1,9,1,11,1,10,1,11,1,16,2,10,1,17,3,16,2,10,1,16,1,9,1,11,1,10,1,9,1,16,2,17,2,16,1,11,1,17,1,16,1,10,1,11,1,17,1,11,1,16,1,10,1,16,2,11,2,16,1,9,1,11,1,9,1,16,1,9,1,11,2,16,2,11,4,10,1,11,1,16,1,11,1,16,3,11,1,16,6,17,1,16,1,11,1,16,2,17,1,16,2,11,2,9,1,11,4,16,4,11,2,16,1,10,1,16,2,11,1,16,2,11,1,16,1,11,1,9,1,16,1,11,1,17,1,16,6,17,1,11,1,16,2,11,1,16,2,11,1,16,8,11,1,16,1,11,1,16,5,11,5,16,3,11,2,16,1,11,1,10,1,9,1,16,7,11,1,16,2,11,2,16,1,11,1,16,1,11,2,16,1,11,2,17,1,16,3,11,1,16,2,11,1,9,1,11,4,10,1,16,1,9,1,16,1,11,5,9,1,11,1,10,1,9,1,11,1,9,1,11,2,16,1,11,4,16,2,11,1,10,1,8,1,10,1,16,1,10,1,9,1,16,1,8,1,9,1,11,1,9,14,10,2,9,3,11,1,9,1,16,2,9,2,11,1,16,1,17,1,16,2,9,1,11,2,9,1,11,2,10,1,9,6,11,1,13,1,9,3,11,1,8,1,11,3,9,2,16,1,10,2,9,1,8,1,9,1,11,1,9,3,11,1,10,1,16,1,13,2,8,1,12,2,11,1,9,1,8,1,9,1,10,1,8,1,9,1,11,1,10,1,13,1,8,2,6,1,9,1,13,1,24,2,9,1,11,1,8,6,13,1,24,1,8,1,9,1,6,1,8,6,13,1,24,2,13,1,8,1,13,1,24,1,9,1,13,1,9,1,24,1,13,1,8,1,24,2,8,1,13,1,8,1,7,1,13,1,7,2,24,1,29,1,13,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,13,2,8,1,13,2,24,1,8,2,9,1,7,1,8,2,17,1,10,1,28,8,30,2,7,1,13,2,8,1,7,1,25,1,24,1,7,2,13,1,7,1,24,1,8,1,24,1,9,1,8,1,24,1,12,1,24,1,8,1,10,1,12,1,24,2,10,1,12,1,10,1,12,2,17,5,12,1,9,1,10,1,9,2,8,2,9,4,8,1,9,2,8,2,9,1,10,1,24,1,8,1,9,1,13,1,8,2,13,1,8,1,24,1,8,2,13,1,7,1,13,2,8,1,13,1,7,1,8,1,13,1,7,1,8,1,24,1,8,1,12,1,9,1,24,2,9,1,8,1,13,2,10,1,13,1,9,1,8,3,13,1,6,1,13,2,7,1,13,1,24,1,8,2,13,1,8,1,24,2,9,3,17,1,11,1,9,1,24,1,9,1,13,6,8,1,6,1,8,1,13,3,7,1,13,1,8,2,24,1,7,1,11,1,8,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,6,1,7,1,13,1,24,1,6,1,8,1,9,1,24,2,8,1,24,1,8,1,24,2,13,1,9,1,13,1,9,1,24,2,8,1,9,1,8,4,13,2,9,1,8,3,9,1,8,1,10,1,9,1,8,1,10,1,13,2,10,1,13,1,8,1,9,1,8,3,24,1,13,2,24,1,13,3,24,1,13,1,24,1,8,1,13,1,24,1,8,2,13,2,8,1,7,1,13,1,7,1,8,2,9,2,8,1,10,1,11,1,10,3,9,1,8,2,10,1,9,6,10,3,9,3,8,1,11,1,10,1,11,1,9,3,10,1,9,1,24,1,17,1,9,1,8,1,24,1,10,1,9,1,8,1,9,1,11,1,9,1,8,1,9,1,8,1,9,1,13,1,24,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,8,2,9,1,8,5,13,2,7,1,8,1,13,1,24,1,7,1,24,1,8,2,9,1,13,1,8,1,9,1,8,1,13,1,9,1,10,1,11,1,9,5,17,1,16,1,17,1,9,2,16,1,17,2,11,1,16,1,17,1,16,1,11,1,17,8,11,1,16,4,11,1,16,4,11,2,17,2,16,1,17,1,11,1,17,4,11,4,17,2,16,1,11,3,17,1,11,2,17,1,16,3,17,1,16,1,17,2,11,3,17,5,12,2,17,2,12,1,17,1,12,2,11,2,10,2,11,1,12,1,10,1,11,3,9,1,10,1,8,2,9,1,8,1,9,1,10,1,9,1,8,1,13,1,8,1,9,1,8,1,11,2,9,1,10,1,11,1,10,1,12,2,8,1,9,2,10,2,9,2,8,1,10,3,8,1,12,1,24,1,12,1,9,1,24,1,10,2,9,1,17,1,11,1,10,1,8,1,11,1,9,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,7,1,8,1,9,1,13,1,8,1,13,1,7,2,13,2,8,1,9,2,8,2,13,1,10,1,13,1,9,2,6,2,7,1,13,1,9,1,11,2,16,2,11,1,16,3,11,1,9,1,16,1,9,1,10,1,11,3,9,2,10,1,11,2,16,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,9,2,16,1,11,3,9,1,11,1,9,1,8,1,9,1,11,1,9,1,10,1,9,6,11,1,16,1,9,1,11,5,16,1,11,3,16,1,11,2,16,1,11,1,9,1,11,1,16,1,11,3,16,4,11,2,16,1,9,1,11,1,9,1,11,3,9,1,16,1,9,1,16,1,10,1,9,4,13,1,8,1,9,11,11,1,9,1,16,2,9,2,11,4,9,1,16,5,11,1,16,1,10,1,9,1,11,4,9,1,16,1,9,1,11,1,9,1,8,1,11,1,10,1,11,1,9,2,11,2,9,2,11,1,9,5,11,1,9,3,16,2,11,1,16,2,11,4,16,1,17,1,11,1,17,1,11,1,16,1,11,4,13,1,28,14,29,1,16,1,14,1,11,1,9,1,12,1,24,1,13,2,6,1,7,1,6,5,7,1,6,1,30,1,29,1,28,1,6,1,7,1,9,1,17,2,9,1,24,1,8,1,9,1,30,1,28,7,8,2,24,1,13,1,30,2,28,2,30,1,28,10,29,1,6,1,28,2,30,3,28,13,6,1,12,1,17,1,16,1,9,1,17,3,16,1,17,1,16,2,17,11,12,1,9,2,12,1,17,1,9,1,11,1,17,3,9,1,8,1,13,1,9,2,11,1,16,1,17,4,9,1,10,1,11,1,17,2,12,1,17,1,10,1,9,1,13,1,8,1,24,1,13,1,10,1,11,1,8,1,13,1,24,1,15,1,24,1,8,1,12,1,11,1,12,1,9,1,8,2,9,2,17,2,12,2,10,1,8,1,17,4,9,2,8,2,13,1,8,1,9,1,24,1,14,1,12,1,29,1,6,1,29,2,9,1,10,2,13,1,24,1,12,1,17,1,8,1,10,1,17,1,}, {24,1,10,1,13,1,9,1,12,1,10,1,9,1,8,2,17,2,15,1,9,1,24,1,13,1,24,1,13,1,24,1,13,1,9,1,17,1,9,1,17,1,16,1,9,1,12,1,9,1,14,3,10,1,24,1,8,2,24,1,9,1,8,1,24,1,8,1,24,1,9,1,24,2,8,1,24,1,8,1,24,3,9,1,8,1,29,1,8,2,13,1,8,1,13,3,8,1,24,1,6,1,8,2,9,1,8,1,10,1,9,1,14,1,9,1,15,1,12,1,9,1,17,2,10,1,8,1,24,1,13,1,8,1,10,1,9,2,24,1,11,1,12,1,24,1,10,1,9,1,8,1,24,1,9,1,24,2,12,1,16,1,17,1,12,2,17,8,9,1,17,1,12,1,17,59,11,1,16,1,9,4,16,1,11,1,12,1,11,1,17,3,11,1,13,2,8,2,24,1,7,1,28,31,30,2,29,2,13,1,6,1,7,1,10,1,17,1,24,1,30,2,6,1,13,2,24,1,17,1,14,1,17,1,14,1,10,1,13,1,24,1,9,1,13,2,7,1,13,1,7,1,13,1,24,1,8,2,13,1,7,1,6,2,7,2,10,1,16,2,17,5,13,1,28,1,30,1,28,2,30,1,6,1,30,1,29,1,28,1,30,2,28,3,11,1,17,26,16,1,17,10,16,1,17,1,16,1,17,2,16,1,17,2,16,7,17,2,16,15,17,1,16,1,17,49,16,1,17,20,16,4,11,1,9,2,8,3,13,1,6,2,13,1,6,1,8,1,13,1,8,2,9,1,13,1,29,1,6,1,7,1,13,1,7,1,13,4,6,2,13,1,9,2,13,10,8,1,13,2,29,1,6,1,7,1,13,2,24,1,7,1,8,2,13,1,8,1,13,3,8,1,9,1,13,1,9,1,13,1,8,2,13,1,30,1,13,1,9,1,16,1,17,6,16,1,17,1,16,1,17,1,16,1,17,4,16,2,11,1,16,4,17,1,16,6,11,1,17,1,16,1,17,3,16,1,17,1,16,4,17,3,16,3,17,1,16,2,17,1,16,3,17,4,16,2,17,1,16,1,17,3,16,2,17,1,16,1,17,1,16,5,17,2,16,1,17,3,16,1,17,7,16,1,17,17,11,1,9,1,16,1,12,1,17,1,9,1,17,1,16,1,9,1,10,1,16,1,10,1,13,1,9,1,13,3,7,1,13,1,6,2,13,1,29,1,7,1,6,1,13,1,7,1,6,1,13,1,8,1,7,1,13,1,8,1,7,1,13,1,7,1,6,2,7,2,6,1,8,1,6,1,8,2,13,2,8,1,13,2,11,1,17,2,16,1,17,1,16,3,17,1,16,1,17,1,16,3,17,1,16,2,17,1,16,2,17,1,16,1,17,1,16,4,17,1,16,4,11,1,16,4,11,1,16,1,17,1,16,2,17,1,16,4,11,1,16,1,17,1,16,2,11,1,16,1,9,1,16,1,11,1,16,3,17,1,16,1,11,1,17,1,16,1,17,3,16,1,17,1,16,4,9,1,11,1,8,1,13,2,9,1,11,1,10,1,9,1,11,1,9,1,11,1,10,1,9,2,11,1,9,2,11,1,10,1,16,1,9,2,11,1,9,1,11,1,9,3,10,1,9,1,8,2,11,2,9,1,8,1,10,1,9,1,13,1,9,1,8,1,9,2,11,1,8,1,9,4,11,1,9,1,8,1,9,3,11,1,13,1,8,1,10,1,9,2,13,1,10,1,13,1,9,3,11,1,9,2,11,1,9,1,10,1,9,1,11,2,9,2,11,2,9,2,11,1,9,1,10,2,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,9,3,11,2,9,2,10,1,9,2,10,1,9,4,11,3,9,3,11,1,9,2,16,1,9,1,11,1,10,1,9,1,16,1,9,3,11,1,17,1,11,1,16,1,17,1,11,1,16,1,17,3,16,2,17,1,16,3,11,1,16,4,11,2,16,2,11,2,17,3,16,1,17,2,16,1,11,1,8,1,11,1,17,1,11,2,17,60,16,1,11,1,17,2,16,1,11,2,17,1,12,1,17,31,16,1,11,1,17,1,16,1,17,1,16,1,17,5,16,1,17,6,16,2,9,1,16,1,11,1,17,16,16,1,17,3,16,9,17,1,16,1,17,1,16,2,17,2,16,4,17,3,16,1,13,1,9,2,8,1,9,1,8,1,9,2,16,1,11,1,9,1,10,2,9,1,13,1,8,1,13,1,9,3,13,2,6,1,29,1,6,1,30,1,28,2,30,1,28,6,30,1,28,2,30,1,29,1,30,3,28,2,30,1,7,1,6,1,30,1,6,2,28,2,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,5,6,1,30,9,29,1,30,5,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,6,1,30,1,13,2,11,1,9,1,6,3,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,2,6,2,30,1,6,1,30,8,7,1,30,1,6,3,8,1,13,1,30,2,6,2,28,1,30,1,6,3,29,1,6,1,30,1,6,1,13,3,30,1,13,1,11,1,13,1,9,1,13,3,9,1,8,1,9,5,11,1,16,1,11,1,16,1,9,1,11,2,16,3,9,1,11,1,17,4,11,1,17,1,11,1,17,1,16,1,17,1,16,1,17,1,11,1,16,6,11,1,17,1,11,2,16,2,11,2,16,1,17,1,16,2,11,1,16,2,9,1,10,1,11,1,16,2,11,1,16,1,9,1,11,1,16,1,11,1,16,3,11,1,16,4,11,2,16,1,11,1,16,4,11,1,16,10,11,2,16,1,11,1,10,1,16,1,11,2,16,3,11,1,9,3,11,2,9,1,16,1,11,3,16,7,17,1,16,7,17,1,16,1,17,1,16,4,11,1,16,3,11,2,16,1,11,2,16,1,11,1,9,1,11,1,16,3,9,1,11,4,9,1,16,2,11,2,16,1,17,1,16,1,11,1,16,1,11,1,9,1,16,1,11,2,16,1,9,1,16,1,9,3,8,1,9,1,11,1,9,2,11,2,9,2,11,2,9,1,10,1,9,1,10,1,11,1,9,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,16,1,17,1,16,2,11,1,16,1,9,1,11,2,10,1,9,2,11,2,9,1,11,1,9,3,11,1,9,4,10,2,11,1,10,1,11,1,10,1,11,1,9,1,11,3,9,1,10,1,9,2,11,2,16,1,8,1,13,1,9,1,17,1,11,1,12,1,10,1,9,1,11,1,24,2,10,1,8,1,9,1,8,1,9,2,24,1,9,4,13,1,24,1,9,1,13,1,8,1,13,1,9,2,8,2,13,5,7,1,24,1,13,2,7,1,24,1,8,2,9,2,11,1,9,1,8,1,24,1,13,1,8,2,13,1,9,1,13,4,7,1,8,1,6,1,13,1,6,1,7,1,29,1,6,1,7,2,29,1,6,1,7,3,13,1,6,1,13,1,7,1,13,1,8,2,24,1,9,1,8,1,17,1,6,1,28,8,30,1,29,1,6,1,13,1,7,1,6,1,24,3,8,1,13,1,7,1,24,1,13,1,8,2,24,1,12,1,8,2,10,1,13,2,8,1,12,1,10,2,24,1,9,1,17,1,11,1,12,1,17,4,9,2,11,1,9,1,10,2,9,2,8,1,10,1,9,1,8,1,9,1,24,1,9,1,13,1,8,1,9,1,8,1,24,1,13,1,24,1,8,1,13,1,8,3,13,2,8,1,24,1,8,1,13,2,8,3,13,1,7,1,8,1,10,1,13,1,8,1,13,1,24,1,8,1,24,1,8,6,13,3,6,1,13,1,7,2,6,2,7,1,13,2,7,1,8,1,9,1,24,1,9,2,11,1,13,1,30,1,9,1,10,1,9,2,24,1,13,1,8,1,13,4,8,1,13,1,8,1,29,1,6,1,8,1,13,1,6,1,13,1,8,1,13,1,7,1,8,1,13,2,6,1,24,1,13,1,8,1,29,1,13,1,6,1,13,1,7,3,8,1,24,1,8,1,24,1,13,1,24,1,9,1,8,2,24,2,13,1,9,1,24,3,8,1,13,1,8,1,9,1,8,1,13,2,8,1,13,1,9,1,10,1,9,1,10,1,8,1,9,2,13,2,9,1,13,1,24,1,13,1,24,1,8,1,24,1,13,1,24,1,7,1,24,1,8,1,7,1,24,1,13,2,6,1,13,1,8,2,13,2,6,1,13,2,8,5,10,1,8,1,9,3,10,1,11,1,9,1,10,1,9,2,10,3,11,1,10,2,8,1,11,1,9,1,10,2,11,1,9,3,8,1,10,1,9,2,10,1,9,1,8,1,9,1,10,2,8,1,9,1,8,2,10,1,8,1,9,3,8,1,9,1,13,1,9,2,8,1,9,1,8,1,24,1,9,2,13,1,8,1,9,2,13,1,8,1,24,1,7,1,8,9,24,1,13,6,8,2,9,1,16,1,8,1,9,2,13,1,9,1,17,1,16,1,10,1,9,2,11,1,17,1,11,2,16,4,17,2,16,2,11,1,17,2,16,1,17,10,16,1,17,12,11,1,17,4,16,2,17,2,16,1,17,8,11,1,17,7,11,1,17,1,12,1,17,1,12,4,11,2,10,1,9,3,10,1,11,1,9,1,10,1,9,2,13,1,7,1,11,1,9,1,13,1,10,1,13,3,8,1,13,1,9,1,17,1,12,2,10,2,12,1,24,1,8,1,10,1,9,1,11,1,24,1,9,1,8,3,11,1,8,1,12,1,9,1,8,1,9,1,12,1,9,1,12,1,9,1,12,1,11,1,12,1,11,2,10,1,12,1,10,1,9,2,13,1,9,1,10,1,13,1,8,1,13,1,8,5,13,2,7,1,13,2,8,1,13,1,9,2,10,1,12,1,9,1,13,2,30,1,13,1,28,1,13,1,9,2,11,1,16,1,11,1,17,1,16,1,11,1,9,1,10,1,9,3,11,1,9,2,11,1,9,3,11,1,9,3,11,2,9,1,11,1,10,1,11,1,10,1,9,4,10,1,9,6,16,1,10,1,11,1,16,1,9,2,11,1,9,1,16,1,9,4,11,1,9,1,11,1,9,1,16,1,11,2,10,1,11,2,9,1,16,3,11,3,16,1,9,1,11,2,16,1,11,1,16,1,11,1,16,1,11,2,9,1,16,1,9,5,11,2,9,2,11,2,9,7,11,1,9,6,11,3,9,1,11,1,9,1,11,1,9,1,11,3,16,1,17,1,9,1,16,1,11,1,16,1,9,1,11,4,16,1,11,1,9,1,16,1,9,2,11,1,9,2,11,2,9,1,11,2,9,1,11,1,9,1,11,2,16,1,9,1,11,1,9,1,11,1,9,1,11,8,16,1,11,1,16,5,11,2,9,2,11,1,9,1,13,1,28,14,6,1,15,1,24,1,11,1,17,1,11,1,8,1,9,1,8,1,13,1,8,1,6,1,30,1,6,1,30,1,7,1,6,1,7,1,29,1,6,1,30,1,7,1,8,2,24,1,8,1,24,2,11,1,24,1,30,1,28,6,6,1,24,1,30,1,13,1,8,1,28,15,30,1,6,1,28,1,30,1,28,1,6,1,30,1,28,12,30,1,13,1,11,1,17,1,9,1,8,2,10,1,17,2,16,2,17,2,12,1,17,8,16,1,9,3,12,1,16,1,9,1,17,4,11,1,10,1,9,2,16,1,11,1,12,1,17,4,9,1,10,1,8,1,24,1,10,1,24,1,12,1,9,1,12,1,24,1,6,1,24,1,13,1,7,1,8,1,24,1,29,1,13,1,24,1,9,1,10,1,8,2,9,1,13,1,12,1,24,2,8,1,17,4,9,1,10,1,17,3,9,1,17,1,8,1,13,1,8,1,24,1,8,1,9,1,12,1,15,1,12,1,30,1,6,2,7,1,13,1,8,1,24,1,13,1,8,1,9,2,12,1,17,2,}, {6,1,9,1,7,1,24,1,8,2,12,1,9,1,12,1,8,1,15,1,12,1,10,1,8,1,13,2,7,1,24,1,8,1,24,1,17,5,9,1,16,1,10,1,15,2,8,1,29,1,13,1,24,1,8,2,13,1,8,1,6,1,24,1,8,1,9,1,8,1,15,2,8,1,15,1,6,1,12,1,24,1,8,2,24,1,8,1,9,1,8,2,14,1,8,1,9,1,24,1,8,2,7,1,9,1,24,1,9,1,24,1,15,1,12,2,11,1,17,1,11,1,17,1,9,1,10,1,8,2,13,1,24,2,12,1,17,1,10,1,9,1,13,1,6,1,8,1,11,1,9,1,10,1,12,2,17,3,16,3,17,8,16,2,17,59,16,1,9,3,8,1,11,1,17,1,16,1,17,5,16,1,8,1,7,2,13,1,9,1,7,1,28,30,30,1,6,1,30,1,28,1,29,1,30,1,13,2,24,1,17,1,8,1,30,2,6,1,7,1,6,1,12,1,17,1,14,2,11,2,10,1,24,1,10,1,13,1,24,1,7,1,13,2,8,3,7,1,6,1,29,1,6,1,13,1,6,1,8,1,13,1,9,1,12,1,11,1,12,1,17,3,13,1,30,1,28,1,30,2,6,2,28,1,6,1,30,1,28,1,30,1,28,3,8,1,17,36,16,1,17,8,16,1,17,3,16,3,17,1,16,2,17,1,16,4,17,2,16,4,17,3,16,2,17,51,16,1,17,10,16,1,17,1,16,1,11,1,16,1,10,1,9,1,8,2,9,1,13,1,29,1,6,6,13,1,9,1,8,1,9,1,11,1,13,2,8,1,13,1,9,1,13,1,8,1,13,1,7,1,13,1,8,1,13,2,7,1,8,1,7,1,13,3,6,1,13,4,8,1,13,1,8,1,13,1,8,2,13,4,6,1,8,2,13,1,7,1,8,3,13,8,8,1,13,1,9,1,8,1,13,2,6,1,13,1,17,8,16,2,17,4,16,3,17,1,16,7,17,2,16,7,17,2,16,1,17,1,16,1,17,1,16,2,17,2,16,1,17,3,16,5,17,1,16,2,17,6,16,2,17,1,16,2,17,1,16,1,17,3,16,1,17,4,16,5,17,1,16,1,17,8,16,1,17,15,10,1,11,1,12,1,11,1,12,1,11,2,12,1,8,1,9,2,8,1,12,1,9,1,13,1,7,1,8,1,6,2,13,1,29,1,13,1,6,1,24,1,6,1,13,1,7,1,13,1,8,1,6,1,7,1,13,2,6,1,13,5,6,2,7,1,13,1,7,1,13,2,8,1,13,2,8,1,13,1,16,1,17,3,16,1,17,1,16,8,17,2,16,1,17,2,16,12,11,1,16,2,11,1,16,2,11,1,16,2,11,1,16,6,11,2,16,1,9,1,11,3,16,4,17,1,16,2,17,3,16,1,17,1,16,3,17,2,11,1,9,1,11,1,9,1,8,1,9,5,11,1,9,1,11,1,9,4,11,2,9,5,11,1,9,1,11,2,9,1,11,1,9,1,11,1,9,1,8,1,9,3,13,1,8,1,9,1,8,1,9,4,11,1,9,1,8,1,11,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,10,1,16,1,9,1,11,1,9,2,8,1,9,2,11,1,9,2,11,2,8,1,9,3,11,2,9,1,11,3,10,1,9,1,11,1,9,2,11,1,9,3,10,1,13,1,9,1,13,1,16,2,9,2,11,3,9,1,11,1,9,4,10,1,11,3,9,2,11,1,9,2,11,2,9,1,11,1,9,4,11,2,10,1,16,3,10,1,11,1,16,1,11,1,17,1,16,2,17,3,16,2,11,4,16,1,11,1,16,3,11,2,16,1,11,1,16,3,17,3,16,1,17,2,11,1,8,1,9,1,11,1,16,2,11,1,16,1,17,1,16,1,11,1,16,1,17,34,16,1,17,5,16,2,17,1,16,2,17,10,16,1,17,1,16,1,11,2,17,1,9,1,17,2,12,1,17,28,16,2,17,2,16,1,11,3,12,1,9,1,17,1,16,1,17,2,11,1,17,7,16,1,17,1,16,1,17,7,16,1,17,1,16,1,17,6,16,1,17,1,16,2,17,1,16,9,17,2,16,3,17,1,16,2,17,1,16,1,17,3,16,1,13,1,6,1,7,1,6,1,30,1,6,1,28,2,30,1,28,1,30,2,28,2,30,1,28,4,6,1,30,3,28,1,30,1,28,1,6,1,30,1,6,1,30,6,6,1,30,2,28,2,30,1,6,1,30,3,6,1,29,1,7,1,6,1,30,1,6,1,7,1,30,1,6,1,30,5,6,2,30,3,6,1,28,1,30,1,6,1,30,1,6,1,30,3,6,1,30,6,28,1,30,1,28,1,30,1,28,1,30,2,29,1,6,1,30,5,6,3,28,1,7,1,13,2,28,2,6,2,30,2,6,2,30,1,29,1,30,1,28,1,29,1,28,1,30,1,6,1,30,2,28,2,6,1,30,8,28,2,30,1,13,1,30,6,6,1,30,2,6,1,30,1,6,1,30,1,7,1,30,1,6,1,13,1,7,1,13,1,7,1,13,2,6,3,30,2,6,1,30,1,6,6,30,1,13,2,6,1,13,2,7,1,6,1,13,2,9,1,11,1,16,1,17,1,16,3,17,2,16,4,17,3,16,2,11,1,16,2,17,3,16,2,17,1,11,1,16,1,11,1,16,6,11,1,16,3,10,1,17,1,16,1,11,1,9,1,16,1,11,1,16,2,11,1,16,1,17,3,16,3,11,1,16,4,17,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,3,17,1,11,2,10,1,9,1,11,1,16,2,11,2,16,4,11,1,16,2,11,1,16,6,11,2,16,2,17,1,16,1,11,2,17,1,11,5,16,3,11,1,16,2,11,2,16,2,11,2,16,1,11,1,16,1,11,1,9,1,11,2,16,3,11,1,16,1,11,2,16,1,10,1,8,1,9,1,16,1,11,3,16,1,11,1,9,2,11,1,9,11,11,1,9,1,11,1,8,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,17,1,16,1,17,1,16,2,10,1,16,1,11,4,9,5,11,2,9,1,11,1,10,1,11,2,16,1,9,1,10,1,11,5,9,1,11,1,9,2,11,3,16,2,10,1,16,1,11,1,9,1,8,1,13,1,17,1,9,1,12,1,11,1,9,5,8,1,9,1,8,1,9,1,10,1,8,2,10,1,8,1,24,3,8,2,13,1,24,1,13,1,8,1,13,1,10,1,13,1,24,1,13,1,7,1,13,1,8,2,7,1,13,1,8,1,24,1,8,1,13,1,8,1,24,1,8,1,9,2,10,1,8,1,7,1,13,1,8,1,13,1,8,1,7,1,8,1,13,2,6,1,13,2,7,1,6,2,29,1,6,1,29,1,6,2,7,1,6,1,8,1,29,1,8,1,7,1,6,1,8,1,13,3,9,1,8,2,11,1,28,9,30,1,29,1,13,1,7,1,6,1,8,2,6,1,13,2,7,1,24,1,7,1,6,1,8,1,13,1,8,1,17,1,7,1,24,2,7,1,8,1,13,1,10,1,8,1,24,2,12,4,17,4,16,1,11,1,10,1,9,2,10,1,9,1,8,1,10,1,9,1,11,1,8,1,24,1,8,1,9,1,8,2,24,1,10,1,9,1,24,1,13,2,9,1,8,1,9,1,24,1,13,1,9,1,13,2,24,1,8,1,13,2,7,1,9,1,13,1,8,2,9,1,8,1,7,1,8,1,13,1,8,1,13,1,8,2,13,1,24,1,13,1,8,2,7,1,13,1,8,1,13,1,7,2,13,1,6,2,13,1,8,2,13,1,8,1,9,4,10,2,9,4,8,3,7,1,13,3,24,1,7,1,13,2,6,1,13,3,8,1,6,1,8,2,24,1,13,2,7,1,24,1,13,1,7,1,13,2,24,1,6,1,13,1,24,1,8,1,13,1,8,1,24,1,9,1,8,3,24,1,13,2,9,1,8,1,10,1,13,1,9,2,13,1,24,1,13,1,8,1,13,1,8,1,13,1,12,1,24,1,10,1,9,2,24,2,9,1,11,1,24,1,8,1,6,1,13,1,8,1,13,1,24,2,13,1,7,1,6,1,8,1,24,1,7,1,8,1,7,1,8,1,13,2,24,1,13,2,7,1,8,1,7,1,6,1,8,1,6,1,13,1,8,1,24,1,13,1,9,1,24,2,13,1,9,1,10,3,9,2,8,1,9,1,24,1,9,3,10,1,9,1,10,1,9,3,10,1,9,1,8,1,10,1,9,4,8,1,9,2,8,1,24,1,9,1,8,1,9,1,8,1,9,1,8,2,9,1,13,1,8,3,24,1,8,1,13,1,8,1,24,1,13,1,8,2,9,1,13,1,9,2,8,1,13,1,9,1,13,1,9,1,8,3,24,1,8,1,13,1,8,2,13,2,8,1,13,3,8,2,13,1,9,1,8,1,9,1,17,1,8,1,13,3,17,1,9,1,13,1,8,2,9,2,8,1,16,2,11,1,16,1,9,1,11,1,17,1,9,1,10,1,16,1,11,1,16,1,11,1,16,3,17,11,16,1,17,6,11,1,17,5,16,1,17,2,11,1,16,3,17,19,12,2,11,2,10,1,12,1,9,3,10,1,9,1,10,1,9,2,13,3,8,1,9,1,13,1,9,1,13,1,8,1,9,3,11,1,17,1,12,1,11,1,10,2,9,4,13,1,11,1,13,1,8,1,24,1,10,1,9,1,8,1,9,1,10,2,24,1,8,1,10,1,24,2,10,1,9,1,8,1,10,1,11,1,10,1,8,1,10,1,13,1,9,1,10,1,8,1,10,2,9,1,13,1,8,2,24,1,9,2,13,2,8,2,13,1,24,1,13,1,24,1,10,1,9,1,13,1,10,1,9,1,8,2,7,1,6,2,28,1,6,1,9,2,17,1,11,1,12,1,17,1,16,2,11,1,9,2,10,2,16,1,11,3,17,2,10,1,11,2,9,1,11,1,10,1,11,1,9,1,11,2,9,2,11,1,9,6,10,1,9,3,13,1,9,6,13,1,9,2,11,1,10,1,9,2,11,1,9,4,16,1,9,2,11,1,9,1,11,1,16,3,10,1,11,2,17,1,11,1,16,1,9,1,17,1,11,1,16,1,9,2,16,1,11,3,9,1,11,4,16,1,11,1,16,1,10,1,9,2,11,1,9,1,16,1,9,4,8,1,9,2,11,1,13,1,10,1,11,1,16,2,10,1,11,2,16,1,11,1,16,2,11,1,9,1,16,1,11,4,16,1,11,6,9,2,11,2,10,1,16,1,9,1,10,2,9,1,11,2,10,1,9,1,11,1,16,1,9,1,11,1,10,1,9,1,11,3,10,1,11,3,16,2,11,2,16,3,11,1,16,1,11,2,16,1,11,1,16,1,9,1,11,2,9,1,28,14,6,1,9,1,15,1,12,2,11,1,10,1,24,1,9,1,13,1,8,1,7,2,29,1,13,1,30,1,29,1,13,2,6,2,29,1,13,1,9,2,10,1,24,2,9,1,8,1,30,1,28,6,6,1,8,1,7,1,29,1,13,1,28,15,30,1,28,1,30,1,28,2,30,4,28,11,13,1,17,1,10,2,9,3,12,1,17,1,16,2,12,1,17,1,16,2,17,8,12,2,9,1,11,1,17,1,10,1,9,1,17,3,11,2,8,1,17,1,11,1,16,1,17,4,11,1,10,1,17,1,9,1,17,2,12,1,10,1,12,1,9,1,15,1,8,1,24,2,6,1,9,1,8,1,6,1,13,1,8,1,10,1,24,1,9,1,10,1,9,1,15,1,13,1,24,1,9,1,12,1,17,1,12,3,9,2,12,1,17,3,12,1,17,1,9,1,8,3,10,1,14,2,9,1,13,1,30,1,13,2,8,1,10,2,13,1,7,1,10,1,12,2,17,1,12,1,}, {24,1,13,1,6,2,8,1,9,3,12,1,17,2,12,1,8,1,9,1,24,2,13,2,8,1,24,1,12,1,17,2,11,1,17,1,12,1,9,1,11,1,15,1,9,1,12,1,6,1,11,1,24,1,13,1,8,1,6,1,8,1,9,2,8,1,9,1,12,2,11,1,8,1,9,1,13,1,8,1,15,1,6,1,9,1,8,1,9,2,12,1,7,2,8,1,13,1,8,1,13,1,6,1,13,1,8,1,24,1,9,1,10,1,15,1,17,1,12,1,9,1,17,2,12,1,9,1,10,1,24,1,8,2,24,1,9,1,24,1,12,1,11,1,8,1,13,1,8,2,9,1,8,2,9,1,16,1,12,1,17,11,11,1,9,1,12,1,17,26,16,1,17,27,16,3,17,3,11,1,9,2,8,1,11,1,24,1,10,1,17,7,24,1,13,1,7,1,13,1,15,1,6,1,30,1,28,31,6,1,28,1,29,1,28,1,6,1,30,1,15,1,17,1,8,1,6,2,7,1,13,1,6,1,8,1,14,1,15,3,12,2,9,1,24,1,8,1,9,1,13,2,8,1,13,1,8,1,13,1,7,1,29,1,30,1,6,1,13,1,6,1,13,2,9,1,11,1,9,1,17,4,13,1,28,5,30,2,29,2,28,5,9,1,17,36,16,1,17,7,16,2,17,2,16,1,17,1,16,4,17,1,16,6,17,1,16,3,17,7,16,1,17,5,16,2,17,4,16,1,17,1,16,1,17,20,16,1,17,6,16,1,17,10,16,3,11,3,9,3,13,1,8,1,13,2,6,1,13,2,6,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,8,1,9,2,11,1,10,1,9,1,11,4,16,1,9,1,13,1,6,1,13,3,6,1,13,4,7,1,13,10,6,1,8,1,9,1,13,1,7,1,8,2,13,5,30,1,13,3,6,1,13,1,7,1,13,1,6,1,7,1,8,1,9,1,13,1,8,1,13,2,6,2,13,1,17,15,16,2,17,1,16,1,17,3,16,2,17,5,16,1,17,1,16,2,17,2,16,1,17,3,16,1,17,4,16,4,17,1,16,2,17,1,16,3,17,7,16,1,17,1,16,1,17,1,16,1,17,41,11,3,17,1,11,1,12,2,17,1,9,1,17,1,9,1,13,1,6,1,8,2,13,3,6,1,24,1,6,2,29,1,13,1,7,1,13,1,8,1,6,1,8,1,13,1,30,1,8,1,13,1,6,1,29,1,7,1,8,1,13,2,6,2,13,1,8,2,13,1,6,1,13,5,8,1,17,3,11,2,16,8,17,2,16,1,17,1,16,2,17,2,16,1,17,1,16,3,11,1,17,1,16,4,10,1,16,2,11,1,16,8,17,1,11,3,16,4,11,1,17,1,11,1,16,3,17,1,16,1,17,4,16,1,17,1,16,2,17,2,11,1,9,3,10,1,9,3,11,3,9,1,11,3,13,1,11,2,9,3,11,1,9,3,10,1,9,5,8,1,11,2,8,1,11,2,13,2,9,2,10,1,9,4,8,1,9,4,8,2,9,1,10,1,9,7,11,1,13,1,9,3,13,1,10,1,11,1,9,4,10,2,9,3,11,1,9,2,11,2,9,4,11,2,10,1,11,2,9,1,16,1,9,5,16,2,9,2,16,1,9,1,11,1,16,1,11,1,9,4,11,1,16,1,9,1,16,1,11,1,9,1,10,1,9,3,11,1,10,1,11,1,9,1,11,3,10,1,9,1,16,3,11,1,16,1,11,1,17,2,16,1,11,2,16,1,11,2,16,1,11,2,16,1,10,1,11,1,16,1,11,2,16,3,17,6,11,2,10,1,16,1,17,1,16,1,17,4,16,1,17,1,16,1,17,37,16,1,17,4,16,1,17,11,16,1,17,1,9,1,17,1,11,1,16,2,10,1,17,13,16,1,17,12,16,1,17,3,11,1,17,1,16,2,9,3,11,1,10,1,9,1,12,1,8,1,9,1,10,1,17,8,16,1,17,1,16,1,17,16,16,1,17,2,16,12,17,1,16,5,17,1,16,1,17,1,16,1,17,3,9,1,13,2,8,1,13,3,6,2,30,2,6,1,30,3,6,1,30,2,6,1,13,1,7,1,28,1,29,1,6,2,30,2,6,1,30,1,6,1,30,1,13,1,6,2,29,1,6,2,30,1,13,1,30,2,6,3,30,1,29,1,6,1,30,1,7,1,6,2,30,1,7,1,6,1,30,2,6,4,30,8,7,1,30,2,6,1,30,3,6,1,30,5,6,4,30,2,6,2,30,1,7,1,28,1,6,3,13,2,7,1,30,1,13,1,7,1,6,1,30,2,6,4,30,2,6,1,30,2,28,1,30,2,28,1,6,1,29,1,30,1,29,1,30,6,6,1,28,1,6,1,30,2,28,1,6,2,30,5,29,2,6,1,13,1,29,1,6,1,29,2,13,1,7,1,13,2,6,2,7,1,6,1,30,1,6,1,7,1,6,1,30,1,6,3,30,1,6,1,30,1,7,1,6,2,28,1,6,2,28,1,6,1,30,1,6,2,30,3,13,1,30,2,6,1,13,1,6,2,28,1,6,1,13,7,9,1,13,3,9,2,13,1,11,1,9,1,8,1,11,2,16,2,11,1,9,1,11,1,8,1,10,1,11,4,9,1,16,1,17,2,16,3,17,2,16,6,17,2,16,3,11,1,16,3,11,7,17,1,9,3,11,2,16,1,10,1,11,3,10,1,11,1,9,1,16,1,10,1,16,1,11,1,16,4,11,2,16,1,11,2,16,1,11,1,16,1,11,1,9,1,16,1,11,2,16,1,10,1,17,1,16,4,11,1,16,1,11,2,9,1,11,1,16,1,11,1,16,2,10,1,16,1,11,2,9,2,16,1,10,1,11,1,9,1,16,1,11,1,10,1,11,2,16,1,11,3,9,2,11,1,9,1,10,1,16,1,11,3,9,4,10,1,11,6,9,1,11,1,9,3,11,1,9,1,11,1,9,2,11,3,16,1,9,1,16,3,11,1,16,1,11,5,9,1,11,4,9,1,11,1,9,2,11,1,9,1,11,1,9,2,11,3,16,1,11,1,9,1,11,1,16,3,10,1,11,2,9,1,11,2,16,2,9,1,8,1,9,1,8,1,17,1,11,1,10,1,11,1,9,1,10,1,8,1,9,1,10,1,8,1,12,1,9,1,24,1,10,1,9,1,12,1,10,2,8,1,24,2,9,1,24,1,8,1,13,1,8,1,9,1,13,1,24,1,8,3,13,1,7,1,8,1,7,1,8,1,24,1,7,1,13,1,8,1,13,2,9,1,8,1,9,2,24,1,8,1,9,1,8,3,6,2,8,1,6,1,13,2,30,1,13,1,6,1,7,1,6,2,7,1,29,2,6,1,7,1,6,1,7,1,13,5,8,1,13,1,24,1,8,1,24,1,12,1,6,1,28,10,29,1,6,1,13,1,6,1,13,1,24,1,6,1,8,1,7,1,24,1,8,2,7,1,8,1,9,1,10,1,24,1,13,1,8,1,24,1,7,1,8,1,13,1,8,1,13,1,10,1,13,1,9,2,17,7,11,2,10,1,8,1,9,1,8,1,24,1,8,1,9,1,10,1,9,1,24,3,8,1,10,1,8,2,24,2,9,1,8,1,9,1,8,1,9,1,8,1,13,1,8,1,24,1,9,1,24,2,8,1,7,1,10,1,13,1,7,1,13,1,24,2,13,1,8,1,24,1,6,1,8,2,9,1,8,1,13,1,24,1,7,1,13,1,7,1,13,2,24,1,13,2,7,2,8,1,13,3,8,1,13,3,9,1,24,2,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,2,7,1,13,1,8,1,13,1,7,3,13,1,30,1,8,1,13,5,8,2,7,1,13,5,8,1,13,2,8,1,24,1,8,2,13,1,9,1,8,1,24,1,9,1,8,1,7,1,24,1,13,1,24,2,8,4,13,1,8,1,6,1,8,1,13,1,8,1,11,1,13,1,8,2,13,1,8,2,13,4,8,1,13,1,24,2,13,1,6,1,24,1,13,1,7,1,24,1,30,1,13,1,8,1,12,1,24,3,12,1,8,1,13,1,8,1,13,1,7,1,24,2,8,1,24,1,9,1,8,1,17,2,12,1,24,1,8,1,24,1,10,1,8,1,9,2,24,1,12,1,10,1,8,1,9,1,8,1,10,1,11,1,9,3,8,1,9,2,11,1,9,5,8,2,24,1,8,1,24,1,9,1,24,1,8,2,24,1,9,2,24,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,8,2,24,1,9,2,8,3,13,3,8,1,9,1,8,3,13,2,24,1,9,2,24,1,13,1,24,1,7,1,6,1,8,1,7,1,8,1,9,1,13,1,9,1,13,1,9,2,8,1,13,2,11,2,13,1,8,1,13,1,9,2,8,1,9,1,13,1,8,2,11,1,8,1,9,2,11,1,9,1,10,1,11,4,9,1,16,1,11,2,16,2,10,1,16,1,11,1,17,4,16,1,17,10,16,1,17,3,16,1,11,1,17,1,11,1,17,9,12,1,17,7,12,1,17,1,12,2,17,1,9,2,11,1,9,1,11,1,9,1,10,1,8,2,13,2,10,1,13,1,9,1,13,3,8,1,13,1,8,1,13,1,12,1,17,1,10,1,11,1,12,1,11,1,12,1,10,1,8,1,10,3,8,1,9,1,8,1,9,1,13,1,9,1,13,1,11,1,13,1,24,1,13,1,24,1,12,1,10,2,11,1,9,1,11,1,9,1,10,1,13,1,17,1,8,1,9,2,13,1,9,1,13,2,8,1,10,1,8,2,12,1,10,1,13,1,9,3,13,2,24,2,12,1,9,1,8,2,24,1,8,1,9,1,13,1,9,1,6,1,28,1,30,1,6,1,29,1,9,2,8,1,9,1,13,1,17,4,16,1,11,1,16,1,11,3,17,2,16,1,17,1,16,2,11,1,9,1,11,1,9,1,10,1,9,3,8,1,9,4,11,1,9,1,11,1,9,1,11,4,9,1,16,1,9,4,8,1,13,1,9,9,13,2,9,1,8,1,10,1,8,1,9,1,11,1,9,2,11,5,9,1,16,1,11,3,9,2,11,1,9,1,11,1,9,3,11,1,9,1,11,1,9,2,11,1,16,1,11,4,9,10,11,1,9,2,10,1,9,4,11,1,16,1,9,1,11,2,16,1,9,1,11,1,16,2,9,1,11,1,16,1,9,1,16,1,11,4,9,2,16,1,9,1,16,1,11,1,16,1,9,1,16,1,9,2,11,1,16,2,9,1,11,1,16,2,11,1,9,1,11,1,9,1,11,3,16,5,11,3,16,1,11,1,10,1,16,1,11,1,16,1,11,1,16,1,11,2,8,1,28,14,6,1,9,1,15,1,17,1,12,2,24,1,8,1,24,2,7,1,24,1,29,1,6,1,30,1,28,1,29,1,6,1,24,1,29,1,13,1,30,1,8,2,10,1,24,3,8,1,24,1,28,7,6,1,8,1,7,1,13,1,6,1,30,1,28,15,29,1,28,3,6,1,28,14,6,1,17,1,8,3,9,1,13,1,8,1,9,1,17,1,16,1,14,1,11,1,17,1,16,1,17,5,16,1,17,3,12,2,9,1,16,2,12,1,17,3,10,1,11,1,9,1,10,1,11,1,16,1,17,1,16,1,17,2,11,1,24,1,13,1,9,1,17,1,11,1,9,1,17,1,12,1,24,1,8,1,9,1,8,1,24,1,8,1,9,1,7,1,13,2,7,1,8,1,24,1,8,1,11,1,13,1,12,1,8,1,12,1,17,1,12,2,24,1,9,1,24,2,8,1,17,1,16,3,11,1,24,1,9,1,13,1,9,1,15,1,9,1,12,1,17,1,24,1,6,1,29,1,13,1,6,1,8,1,24,1,9,1,13,1,7,1,10,1,9,1,17,1,9,1,10,1,}, {8,1,13,2,8,1,9,1,8,1,12,1,9,1,24,1,9,1,10,1,17,1,13,1,24,1,8,2,24,1,8,2,24,1,17,3,12,1,17,1,16,1,9,1,16,1,14,2,12,1,8,1,9,1,8,4,6,1,15,1,8,1,12,1,24,1,9,1,8,4,9,1,13,1,9,1,24,2,13,1,8,1,24,1,13,1,8,1,7,1,13,1,7,1,24,1,8,2,7,1,9,2,10,1,15,1,17,1,15,1,17,4,12,1,11,1,9,1,8,2,9,1,8,1,24,1,9,1,12,1,9,1,8,2,24,1,9,1,10,1,9,1,11,1,10,1,17,12,9,1,11,1,12,2,17,59,16,1,11,1,16,2,9,3,12,1,16,2,11,1,17,3,12,1,9,1,13,3,8,1,24,1,28,30,30,1,28,3,30,1,28,1,30,1,6,1,8,1,17,1,8,1,7,1,28,1,29,1,7,1,13,1,8,1,14,2,15,1,12,1,9,1,12,1,8,1,10,1,13,1,8,1,13,4,8,1,13,1,29,1,30,2,29,2,7,1,6,1,7,1,11,2,12,1,16,1,17,3,13,1,28,1,30,2,28,2,30,1,28,1,6,1,30,1,28,1,30,1,28,3,13,1,17,37,16,1,17,6,16,2,17,1,16,1,17,1,16,13,17,31,16,1,17,8,16,1,17,3,16,1,17,4,16,1,17,1,16,1,17,4,16,2,9,1,11,2,9,1,13,1,9,1,13,3,6,3,13,1,6,2,7,1,6,1,7,1,13,2,7,1,13,1,11,1,13,1,8,1,13,3,8,1,9,2,8,1,16,1,8,1,11,2,12,1,9,3,16,1,8,2,13,3,6,2,13,1,30,1,7,1,6,1,13,1,8,1,13,1,6,1,7,1,13,9,8,1,7,1,13,1,7,1,13,6,7,1,6,2,8,1,6,1,13,1,29,1,13,1,8,1,13,2,8,1,13,1,8,1,13,1,28,1,6,1,13,1,17,15,16,2,17,1,16,3,17,4,16,1,17,4,16,2,17,4,16,1,17,1,16,2,17,3,16,1,17,1,16,1,17,1,16,1,17,3,16,1,17,7,16,1,17,14,16,1,17,34,10,1,12,1,11,1,8,1,12,1,11,1,17,2,12,1,9,1,11,1,10,1,13,1,8,1,13,1,8,1,6,1,7,1,6,1,30,1,7,1,13,1,6,1,29,1,7,1,13,1,7,1,8,1,13,1,29,1,7,1,6,1,7,1,6,1,7,1,13,1,7,1,6,2,13,1,6,2,13,3,7,1,13,1,6,1,13,2,6,1,9,1,16,1,17,3,16,9,17,1,16,3,17,3,16,6,17,1,16,14,17,1,11,2,16,1,11,1,17,1,16,1,11,1,16,8,11,1,16,2,17,1,16,1,17,1,16,2,17,1,16,1,17,2,11,1,9,7,11,1,9,2,13,1,9,2,10,1,11,2,9,3,16,1,9,5,10,1,9,3,8,1,9,2,8,1,9,2,13,1,9,4,11,1,9,3,11,1,8,1,9,3,11,1,8,1,9,2,8,1,11,1,9,1,11,1,16,1,9,1,8,1,9,3,13,1,8,1,9,4,11,1,10,1,8,1,10,2,9,2,10,1,8,1,11,1,9,2,8,1,9,2,8,1,11,1,9,1,11,1,9,5,11,1,9,1,11,2,9,1,11,1,9,1,16,1,11,1,10,1,11,1,10,2,9,2,10,1,11,1,9,1,11,5,9,1,11,1,9,1,13,1,9,2,11,2,10,1,9,1,11,3,9,1,16,1,11,1,16,5,17,2,16,2,9,1,11,1,9,1,11,1,16,4,11,1,9,1,16,2,11,2,16,1,11,1,17,1,16,1,17,7,16,1,17,2,16,1,17,27,16,2,17,1,11,1,17,16,16,1,17,12,16,1,17,3,16,1,17,10,16,1,17,4,16,1,17,13,11,1,17,4,16,1,11,1,16,1,9,3,8,1,9,3,8,1,10,1,9,1,10,1,9,1,17,7,16,2,17,2,16,1,17,15,16,1,17,1,16,9,17,1,16,12,17,3,9,1,6,1,30,1,6,1,7,1,30,1,6,2,30,2,6,1,30,3,6,1,30,3,13,1,7,1,28,1,30,1,6,3,30,1,6,1,29,1,13,1,6,1,13,1,6,2,30,1,6,2,30,1,13,1,28,1,6,2,29,1,28,1,30,5,6,1,30,2,6,4,30,1,6,2,30,1,6,1,30,1,6,2,30,1,29,1,6,1,13,1,30,3,29,1,30,1,6,1,30,6,28,1,30,6,6,1,30,6,29,1,13,1,6,1,13,1,6,2,29,1,30,1,6,2,30,9,6,1,30,1,7,1,30,2,29,1,30,1,29,1,30,6,28,1,30,2,29,1,30,1,29,1,6,1,28,1,29,1,30,2,6,1,29,1,6,1,30,2,6,2,29,1,7,1,30,1,6,1,13,1,6,1,13,3,6,1,30,1,13,1,6,1,28,1,30,1,6,1,30,1,6,2,13,1,30,1,6,2,30,2,6,7,29,1,7,1,6,5,13,1,30,1,29,1,13,1,7,1,13,2,6,1,13,1,6,5,30,2,13,1,29,1,13,1,6,1,30,1,29,1,30,3,7,1,6,2,29,1,6,4,30,2,6,1,7,1,6,2,13,3,6,1,13,2,8,1,9,1,13,1,8,1,9,1,11,1,9,2,11,2,16,1,11,1,10,1,16,1,11,1,17,2,16,3,11,1,9,1,16,1,11,1,16,1,9,2,11,1,10,1,11,1,16,1,11,1,16,2,17,1,16,1,11,4,9,1,11,1,10,1,9,3,11,3,16,1,11,3,9,1,16,1,10,1,16,3,11,1,16,1,11,1,9,1,11,1,10,1,11,1,9,1,11,3,16,1,10,1,11,1,9,2,11,1,16,1,11,1,16,1,9,1,11,2,9,5,16,2,11,2,16,1,9,1,10,1,11,5,10,1,16,1,9,1,11,1,9,1,11,1,10,1,9,1,16,1,11,2,9,1,11,1,10,1,9,1,11,1,9,1,16,1,11,3,9,1,11,1,9,2,11,3,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,9,1,11,2,10,1,11,2,16,1,9,2,11,3,16,2,11,1,8,1,10,1,11,1,9,1,16,6,11,1,16,1,9,1,11,2,16,1,11,1,16,1,11,1,13,3,10,1,16,1,9,1,12,1,9,1,10,1,24,1,9,2,8,1,24,1,8,2,24,2,12,1,24,1,8,2,9,1,12,1,8,1,24,3,10,1,24,1,9,1,13,1,24,2,8,1,13,1,8,2,7,1,8,1,6,1,24,1,8,1,24,2,8,2,13,1,8,1,12,1,9,1,24,1,8,2,24,2,7,1,13,1,6,1,24,1,29,1,7,2,29,1,6,2,7,1,6,1,29,2,7,1,6,2,13,1,7,2,13,1,7,2,13,1,8,2,13,3,17,1,9,1,28,9,29,1,30,1,29,2,6,1,8,1,13,1,8,1,13,2,7,1,13,3,7,1,8,1,13,1,24,1,13,1,24,2,8,1,13,1,7,1,13,1,8,1,13,1,8,2,12,1,24,1,17,1,10,1,17,5,12,1,10,1,9,1,11,1,8,1,9,1,10,1,9,1,8,1,13,1,8,2,24,1,8,1,13,1,8,1,24,2,9,2,10,1,13,2,8,1,24,1,8,1,24,1,9,1,8,1,10,1,9,1,8,4,24,2,7,1,8,1,9,1,13,1,10,1,13,1,8,1,13,1,24,2,9,3,8,1,24,1,9,1,8,1,13,1,6,1,13,6,7,1,6,1,13,1,7,1,13,2,24,1,8,1,9,5,13,2,9,1,7,1,13,1,24,1,8,1,13,1,8,2,7,1,24,1,13,1,7,1,13,2,24,1,8,1,13,1,6,1,8,1,9,1,8,2,13,1,8,1,7,1,8,2,13,1,7,1,24,1,6,1,8,1,7,2,13,1,8,1,24,1,13,1,24,2,13,1,8,2,13,1,24,1,8,1,13,1,8,3,7,1,8,4,24,1,13,1,10,1,13,1,8,3,9,1,13,1,24,1,6,1,8,2,6,1,24,2,12,1,8,1,24,3,8,1,17,1,8,1,24,1,7,1,24,1,8,1,25,1,24,1,8,1,24,1,8,2,7,1,24,1,8,1,10,1,24,1,8,1,9,2,24,1,17,1,9,1,24,1,17,3,10,1,13,1,9,1,24,1,9,6,11,1,9,4,11,1,9,2,8,6,9,1,8,1,9,1,8,1,6,1,8,1,10,1,8,2,13,1,8,1,7,1,8,3,13,1,8,1,13,1,8,1,9,1,8,1,13,1,24,1,13,1,9,1,13,1,9,1,8,2,13,1,8,1,7,1,9,1,24,1,9,1,13,1,24,1,8,2,13,1,24,1,13,1,8,2,13,1,6,1,13,2,8,1,9,1,13,1,8,1,13,1,17,1,8,1,9,1,8,1,9,1,12,1,16,1,11,1,9,4,13,1,8,1,7,1,9,1,13,2,11,1,13,1,9,4,8,1,13,1,9,2,10,1,16,1,9,2,16,2,11,2,17,5,16,1,17,14,11,1,16,3,11,1,17,15,12,3,11,1,10,1,9,1,10,1,9,3,10,1,8,1,9,2,8,1,9,2,13,1,8,1,13,4,9,1,24,1,10,1,11,1,10,1,17,2,12,1,17,2,12,2,8,1,12,1,9,1,11,1,12,1,10,1,8,1,17,1,8,1,24,1,9,4,12,1,10,1,9,1,12,1,10,1,9,2,12,1,13,1,9,1,11,1,10,3,11,1,8,1,9,1,8,1,9,1,24,1,9,1,13,3,9,1,7,1,9,1,8,2,9,1,8,2,13,1,24,1,9,1,10,1,13,1,12,1,13,1,8,1,9,1,7,1,13,1,6,1,28,1,30,2,9,3,13,1,9,2,17,2,9,2,13,2,6,1,13,3,10,1,17,1,9,1,17,4,9,1,11,1,9,1,11,2,9,3,10,1,11,1,9,1,8,1,10,1,9,3,11,1,9,1,11,1,9,1,16,1,11,2,9,2,11,1,9,1,8,1,10,1,9,4,10,1,9,2,13,1,9,1,13,3,9,1,13,1,8,1,13,1,9,1,11,1,8,1,16,2,11,1,9,1,16,1,9,1,11,4,9,2,16,1,9,4,11,1,10,2,11,1,16,2,11,2,16,2,9,2,11,2,9,1,11,1,9,1,11,2,9,2,16,1,11,1,9,2,16,1,8,1,9,3,16,1,11,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,17,1,16,1,11,7,10,1,16,1,11,2,16,1,11,1,9,1,16,3,11,2,16,1,11,1,17,1,16,1,10,1,16,1,17,1,16,1,9,1,11,3,16,1,11,1,16,1,11,4,16,1,11,2,16,4,11,3,16,1,9,1,28,14,29,1,11,1,15,2,9,1,11,1,24,1,8,1,24,1,6,1,8,2,6,2,28,2,6,1,29,2,30,1,6,1,7,1,6,1,13,1,10,1,9,1,8,3,9,1,28,7,29,1,24,1,13,1,6,2,28,13,30,1,28,6,30,3,28,1,30,1,28,1,30,1,28,3,30,1,28,4,6,1,24,1,10,1,9,1,24,1,8,1,13,1,8,1,9,2,17,3,12,1,16,1,17,11,9,3,17,4,12,1,9,2,12,1,16,1,17,5,12,1,9,1,12,1,17,1,9,1,11,1,9,1,10,1,11,1,14,1,8,1,24,1,8,2,12,1,8,2,29,1,8,1,13,1,8,1,9,1,24,1,9,1,8,1,10,1,9,2,16,1,12,1,17,1,9,1,24,1,13,1,24,1,6,1,10,1,17,1,10,1,17,1,9,2,13,2,9,1,10,1,15,1,12,1,24,2,8,1,7,1,13,1,6,1,13,1,15,1,24,2,6,1,10,1,17,1,15,1,9,1,24,1,}, {9,1,13,1,24,2,9,1,15,1,12,1,8,1,24,1,17,2,12,1,10,1,11,1,9,1,12,1,24,1,8,3,17,1,12,1,17,1,16,1,17,1,11,1,10,1,12,2,9,1,12,1,10,1,15,1,12,1,8,1,13,1,7,1,24,1,8,1,12,1,17,1,24,3,9,1,13,1,9,1,8,1,24,1,13,1,12,1,24,1,9,1,13,1,24,1,8,1,13,1,7,1,8,1,9,1,8,1,7,1,8,1,13,1,24,1,9,1,10,1,12,1,9,1,17,1,10,1,14,1,17,3,15,1,8,1,12,1,8,2,24,1,8,1,9,1,17,1,10,1,13,1,8,1,24,1,17,1,15,3,12,1,17,12,16,1,17,1,11,2,17,60,16,1,10,1,9,2,13,1,11,1,9,1,17,1,12,1,17,5,16,1,9,1,24,1,9,1,8,1,13,1,28,35,30,1,28,1,6,1,7,1,17,1,13,1,6,1,28,2,13,2,8,1,15,1,14,1,15,1,14,1,11,1,13,2,8,4,13,1,6,1,8,1,6,4,29,1,30,2,13,2,10,1,12,1,9,1,17,1,12,2,17,2,11,1,28,6,30,3,29,1,30,1,28,3,30,1,17,2,16,1,17,11,16,2,17,22,16,1,17,3,16,1,17,3,16,1,17,1,16,3,17,1,16,10,17,23,16,1,17,2,16,1,17,18,16,6,11,2,8,1,13,3,9,1,6,1,13,3,7,1,6,1,13,1,7,1,6,1,13,1,8,1,9,1,13,1,8,1,13,1,8,3,13,2,8,2,6,1,29,1,8,2,7,1,13,1,9,1,8,1,9,1,13,1,9,5,13,1,9,1,17,1,9,2,10,1,13,1,6,1,13,5,8,1,6,1,13,3,8,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,3,7,1,8,1,13,1,7,1,6,1,13,1,30,1,8,1,13,2,6,1,13,1,7,1,6,1,13,2,8,1,6,1,13,1,9,2,8,1,13,1,29,1,6,2,13,1,16,1,17,14,16,2,17,1,16,2,17,2,16,2,17,3,16,1,17,2,16,1,17,1,16,2,17,2,16,1,17,2,16,1,17,5,16,2,17,4,16,1,17,6,16,2,17,48,11,1,17,1,9,1,16,1,9,1,10,1,11,1,8,1,9,1,10,1,12,1,10,2,13,1,8,2,13,2,29,1,13,1,29,1,6,1,29,1,7,1,6,2,13,1,7,1,8,1,7,1,8,1,6,1,13,4,7,1,13,1,29,1,13,1,7,3,13,1,6,1,13,3,24,1,7,1,13,2,8,1,9,1,17,3,16,7,17,2,16,5,17,1,16,3,17,3,16,3,17,1,16,2,17,1,16,1,17,1,16,9,11,1,16,1,11,1,16,3,11,1,17,1,16,4,11,2,17,1,16,2,11,1,16,1,17,2,16,2,11,2,16,1,11,1,9,1,8,1,10,1,9,1,13,1,11,1,9,1,11,1,9,2,8,1,9,1,10,1,16,1,9,1,16,1,11,2,9,1,16,1,9,1,11,1,10,1,9,1,11,1,9,1,10,1,9,1,11,1,9,4,10,1,9,1,13,1,9,1,13,1,8,2,9,1,10,1,13,1,9,4,8,1,13,1,9,1,11,1,13,1,9,7,13,2,8,1,9,1,13,1,9,1,10,1,9,1,13,1,8,1,11,1,13,1,16,1,8,1,9,1,11,3,9,3,11,1,9,2,16,1,9,1,11,1,9,2,11,1,9,5,16,1,13,1,9,1,10,1,9,6,10,1,11,1,9,2,8,1,11,3,13,1,9,2,11,1,10,1,9,3,11,1,9,1,11,1,9,5,11,2,16,2,11,1,16,1,17,1,11,1,16,1,17,2,11,2,9,3,16,1,9,1,16,3,11,1,9,1,16,2,11,2,16,3,11,1,17,4,16,1,17,34,16,1,17,3,16,3,17,2,16,1,17,2,16,1,17,2,11,1,17,1,16,1,17,11,16,1,17,3,16,1,17,7,16,1,17,23,16,1,11,1,17,2,16,1,17,1,11,1,16,1,11,1,16,1,9,2,8,2,13,2,9,1,13,1,9,2,10,1,11,1,16,1,17,5,16,2,17,2,16,1,17,3,16,8,17,4,16,2,17,1,16,1,17,2,16,8,17,1,16,3,17,1,16,1,17,1,16,4,17,2,16,1,13,2,7,1,6,1,30,8,29,1,30,1,6,1,30,1,6,1,13,1,6,1,29,1,6,1,30,1,6,2,30,1,6,2,13,1,6,1,13,5,6,1,13,2,6,1,30,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,2,30,3,13,1,6,3,13,1,6,2,30,1,29,1,7,1,30,1,7,1,6,3,30,1,6,1,30,2,6,2,30,5,6,3,30,1,6,1,30,1,6,2,28,1,30,2,29,1,30,1,6,3,13,1,6,1,13,1,6,1,30,16,6,1,30,6,6,1,30,3,28,1,30,3,28,1,6,1,29,1,6,1,30,4,6,1,29,1,30,1,6,2,7,1,30,1,13,3,9,1,13,6,30,1,6,2,29,1,6,5,30,2,6,1,30,2,6,1,30,4,6,4,30,1,6,2,30,3,13,1,6,3,30,2,6,3,13,1,7,1,13,2,6,1,7,1,13,1,30,1,6,2,30,1,6,2,13,1,6,1,29,1,6,4,30,1,6,2,30,3,6,2,30,2,6,1,30,1,6,2,13,1,30,1,7,1,6,3,30,1,13,1,6,1,30,1,13,1,7,1,13,1,7,1,6,3,13,2,28,1,13,2,6,1,7,1,13,6,9,3,8,1,9,1,13,1,8,1,9,6,11,2,10,1,11,1,9,3,10,1,16,2,11,1,16,1,11,1,16,1,10,1,11,1,16,2,17,2,11,2,16,2,9,1,10,1,11,1,17,1,11,1,9,2,11,2,9,3,10,1,16,1,11,1,9,3,11,1,16,1,11,4,17,1,9,1,16,1,9,1,11,1,16,1,11,1,16,1,9,1,11,3,9,1,16,2,10,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,11,5,10,1,9,3,11,1,16,1,11,1,16,1,11,1,16,2,11,2,16,3,11,1,16,1,11,1,16,1,11,3,16,1,11,3,16,1,11,1,16,4,11,1,10,1,16,2,9,2,16,2,11,1,16,1,11,2,16,1,11,1,10,1,11,2,13,2,9,1,13,1,17,1,11,2,10,1,11,1,12,1,10,1,9,1,8,1,24,1,8,1,24,1,9,1,24,1,9,2,8,1,10,2,24,1,9,1,8,1,24,2,13,1,24,1,8,2,13,3,8,1,9,1,24,1,6,2,8,1,7,1,13,1,24,1,9,1,13,1,24,1,8,3,24,1,7,1,13,1,8,1,13,1,24,1,7,1,8,2,7,1,6,1,7,1,13,1,6,1,7,1,6,1,29,1,30,1,6,3,7,1,29,1,7,1,13,1,6,2,8,1,13,1,7,1,8,1,13,1,8,3,12,1,9,1,28,12,30,3,6,2,8,3,24,1,6,1,13,1,8,1,13,2,24,1,8,1,24,2,13,1,8,2,6,1,8,1,13,2,9,1,10,1,24,1,12,1,17,1,12,1,11,1,17,5,9,2,11,1,12,1,8,1,9,1,8,1,11,1,8,2,9,4,8,2,9,2,12,1,8,1,12,1,9,1,10,1,13,1,9,1,8,1,9,1,24,1,8,1,10,2,13,2,8,3,7,2,24,1,9,1,24,1,8,1,10,1,9,1,13,3,9,1,24,2,13,1,8,2,13,2,7,1,6,1,8,1,7,1,6,1,8,1,7,2,13,1,6,1,24,1,9,4,24,1,8,3,13,2,7,1,8,1,24,1,13,1,8,4,13,2,24,1,13,1,24,2,13,1,8,1,7,1,13,1,8,1,13,1,8,1,24,1,9,1,8,1,24,1,8,1,6,1,8,2,13,1,7,1,24,1,7,1,8,1,24,1,8,1,24,2,8,1,13,1,24,2,9,1,7,1,24,1,8,1,13,1,8,2,13,1,8,1,13,1,7,1,13,2,24,1,13,1,9,2,8,4,13,1,8,2,13,1,24,1,8,1,24,2,8,1,24,1,8,1,24,3,13,1,24,1,13,1,24,1,25,1,24,3,25,1,24,1,6,1,13,1,8,1,12,1,13,1,8,3,24,3,17,2,12,1,9,1,12,2,17,2,9,1,12,2,17,2,8,1,10,1,9,6,8,3,24,1,9,1,8,1,13,1,8,1,13,1,8,3,24,1,9,1,8,2,13,1,8,1,13,2,24,1,13,2,8,1,13,1,24,1,13,1,8,5,10,1,9,1,8,1,13,1,8,3,24,1,9,1,8,2,9,1,13,1,9,1,8,2,13,1,9,2,8,2,24,1,8,1,13,2,9,1,13,4,10,2,17,4,8,1,10,1,13,4,8,1,9,1,13,2,8,1,13,2,8,1,13,1,9,1,10,2,16,1,9,1,8,1,13,1,9,2,8,1,13,1,6,1,16,1,9,1,17,2,16,1,17,12,16,1,17,2,16,1,17,1,16,2,17,1,16,1,17,2,16,1,17,13,12,1,11,1,10,4,9,1,11,1,9,2,8,1,9,1,8,1,13,3,8,1,10,1,13,1,8,2,13,3,9,1,11,2,12,1,17,1,11,1,17,2,12,1,17,1,12,1,11,2,10,1,9,3,24,1,13,1,8,1,24,1,9,1,13,1,11,1,9,1,10,1,9,1,11,1,9,1,10,1,8,2,13,1,11,1,13,1,8,1,11,1,9,1,11,1,10,1,9,3,13,1,9,1,13,2,8,1,24,1,9,2,13,1,7,1,24,1,10,1,13,2,8,1,7,1,8,1,9,2,13,1,8,1,11,1,10,1,9,1,13,1,28,3,30,1,6,1,13,1,9,1,10,1,9,1,10,1,9,4,30,1,7,1,28,3,30,3,6,1,13,5,8,3,13,3,8,1,9,5,8,1,10,1,9,5,11,2,9,2,11,2,10,1,9,1,8,1,9,1,11,1,9,4,8,1,13,2,9,1,13,1,8,1,13,3,8,1,13,2,8,1,9,1,8,1,13,1,9,2,11,1,9,1,10,1,9,1,11,1,9,1,11,2,13,1,9,2,10,1,9,1,11,3,16,1,11,2,16,3,11,1,10,1,9,4,11,1,9,4,10,1,11,1,10,1,9,2,11,1,9,1,11,1,9,2,16,1,9,4,16,1,9,1,13,1,11,3,16,1,11,10,9,2,11,2,16,1,11,2,16,3,11,1,16,1,9,1,16,1,11,2,9,1,11,2,16,2,11,2,16,1,9,1,11,1,16,6,11,1,16,2,9,1,16,1,10,1,30,1,28,14,6,1,14,1,9,1,12,1,15,1,9,2,6,1,13,2,6,2,29,1,6,1,30,1,28,1,30,2,29,1,7,1,13,1,6,1,13,2,8,2,9,1,8,1,24,1,13,1,28,7,6,1,8,1,6,1,13,1,6,1,28,23,30,2,28,10,6,1,13,1,24,1,13,6,6,1,8,1,10,1,14,1,17,10,9,2,12,1,17,1,11,1,12,1,9,1,17,3,9,1,11,1,16,1,9,1,17,6,9,1,11,1,12,2,16,1,10,1,17,1,10,1,9,1,24,1,8,4,24,1,8,1,13,2,24,1,13,1,8,1,10,2,24,1,9,5,11,1,17,2,12,1,24,1,8,1,13,1,17,4,9,2,8,1,13,1,8,1,24,1,15,1,17,1,9,1,13,1,7,1,13,1,6,2,9,1,8,1,10,1,13,1,7,1,9,1,14,1,17,1,12,2,}, {8,1,9,1,13,1,6,1,8,1,24,1,8,2,13,1,8,1,17,1,12,1,8,1,15,1,12,2,8,2,9,2,17,3,12,1,17,1,9,1,10,1,15,1,17,2,9,1,17,2,12,1,13,1,8,1,6,1,7,1,8,1,9,2,10,1,12,1,8,1,15,1,9,1,24,1,13,2,24,2,8,1,9,1,24,1,8,1,13,1,8,1,13,2,24,2,8,1,15,1,9,1,13,1,9,1,10,1,24,1,15,1,9,1,17,1,15,1,17,3,10,1,8,1,15,1,13,1,24,1,12,1,24,1,10,1,17,2,11,1,9,1,10,1,9,2,11,1,15,1,17,18,11,1,17,57,9,1,11,1,9,1,12,1,9,1,16,1,11,1,8,1,9,2,17,1,16,1,17,3,8,1,13,1,24,1,12,1,24,2,29,1,28,34,30,2,6,1,13,1,17,1,24,1,30,1,29,1,30,1,13,2,24,1,9,1,17,1,15,1,10,1,24,1,13,1,11,1,9,2,13,2,6,2,30,1,6,1,30,1,28,1,6,2,29,1,6,1,8,1,9,3,12,2,16,1,12,1,17,2,10,1,30,1,28,6,30,2,29,1,30,1,28,3,6,1,17,44,16,1,17,2,16,5,17,1,16,2,17,1,16,1,17,2,16,2,17,30,16,1,17,2,16,1,17,4,16,1,17,3,16,3,11,1,16,1,10,1,9,1,13,2,6,1,13,1,6,1,7,1,13,3,6,2,8,1,13,1,8,4,13,1,8,2,13,4,8,1,13,5,6,1,8,1,13,1,6,1,8,1,13,1,6,1,13,1,8,3,9,1,11,1,10,1,11,1,9,2,13,1,8,1,9,5,6,1,13,1,8,1,13,1,8,1,6,1,13,1,7,2,8,1,6,2,13,4,7,1,6,1,7,1,6,1,7,3,9,1,6,1,13,1,6,2,7,1,13,1,8,1,6,1,7,1,6,3,13,1,6,1,13,4,10,1,13,2,9,1,6,1,30,1,6,1,7,1,16,1,17,16,16,3,17,2,16,1,17,2,16,1,17,3,16,1,17,2,16,2,17,5,16,1,17,16,16,2,17,4,16,1,17,1,16,1,17,32,16,1,17,10,10,1,12,2,9,1,17,2,11,1,12,3,9,1,8,1,11,1,8,1,13,1,10,1,24,1,8,1,6,3,13,1,6,1,13,1,6,2,7,1,13,2,30,1,8,1,7,1,6,2,8,1,6,1,29,1,7,1,30,1,13,1,29,1,6,1,7,1,6,1,30,1,13,1,7,1,13,2,6,1,7,3,9,1,17,3,16,2,17,1,16,7,17,1,16,8,17,2,16,1,17,2,16,3,17,1,16,2,17,2,16,1,17,1,16,1,11,1,16,9,10,1,16,1,11,1,16,6,11,1,17,1,16,1,17,2,16,1,17,1,16,1,17,2,11,1,9,3,8,1,9,5,11,1,9,2,11,1,9,3,11,1,9,4,17,1,9,3,11,1,9,1,10,1,9,5,13,1,9,4,8,2,9,3,13,1,9,2,13,2,9,2,11,1,9,2,8,1,13,2,9,3,8,1,13,1,9,2,8,1,9,1,8,1,13,1,9,3,8,1,9,1,16,1,17,1,9,3,11,1,9,2,11,1,9,2,11,1,9,1,11,2,10,1,8,1,11,1,9,1,10,1,11,2,9,3,11,1,9,4,8,1,9,3,11,3,16,1,9,3,8,1,9,3,11,1,9,2,11,1,16,1,11,1,9,2,11,1,9,3,11,4,17,1,9,1,11,1,16,2,17,1,16,1,9,1,11,2,10,1,9,1,11,5,16,1,11,2,16,2,11,1,16,1,11,1,16,3,17,29,16,2,17,1,16,6,17,1,16,1,11,1,17,1,11,1,17,4,9,1,17,2,16,1,17,9,16,1,17,20,16,1,17,1,16,1,17,19,16,1,11,1,17,4,16,3,11,3,9,1,13,1,9,1,13,1,8,2,13,1,9,3,16,1,17,8,16,1,17,2,16,2,11,1,16,6,17,7,16,1,17,2,16,13,17,1,16,1,17,2,16,4,17,2,8,1,6,1,30,1,6,3,30,8,6,1,28,1,30,1,6,1,30,2,28,1,6,2,30,2,6,2,30,2,28,2,30,1,6,1,30,3,28,1,30,3,6,1,28,1,30,1,28,1,6,1,30,5,29,1,30,2,6,1,30,2,28,2,30,4,28,1,30,2,6,1,30,4,29,1,6,1,29,1,30,1,6,1,30,1,29,1,30,2,6,1,30,6,6,1,30,2,28,1,30,1,6,1,29,1,6,1,13,1,6,4,30,5,6,1,30,8,6,1,30,4,6,1,30,3,29,1,6,1,29,1,30,3,28,1,30,1,6,2,30,1,28,1,30,3,6,3,30,1,6,4,30,1,13,2,9,1,13,2,8,1,13,3,6,1,13,1,6,2,13,1,6,4,30,1,6,1,29,1,30,1,6,1,30,1,29,1,6,1,30,1,6,2,29,1,6,3,29,1,6,1,29,1,6,1,30,1,6,1,13,1,6,1,7,2,6,1,29,1,13,1,6,1,30,1,13,1,6,6,13,1,30,1,29,1,6,3,29,2,6,2,7,1,6,5,29,1,6,1,30,1,6,1,30,1,13,1,6,3,30,1,6,1,29,1,6,2,30,1,6,1,13,1,6,2,13,2,6,1,7,1,13,1,6,10,30,2,6,1,29,1,7,1,6,5,7,1,30,1,13,1,7,1,13,1,6,1,13,1,6,12,13,2,6,2,13,2,9,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,10,1,13,2,9,1,11,1,8,1,9,1,11,1,9,1,11,2,9,1,11,1,9,2,10,1,9,1,11,1,13,1,9,1,10,1,11,2,9,4,10,1,11,3,9,1,13,1,10,1,9,1,13,1,9,2,11,4,16,2,11,3,16,1,9,2,17,1,16,2,11,1,16,1,9,1,11,5,17,1,16,1,11,1,17,1,11,2,16,1,11,2,16,1,11,7,16,3,9,1,16,3,17,1,9,1,11,2,16,1,11,2,9,2,11,2,16,1,11,1,16,2,13,1,8,1,13,1,9,1,17,1,10,1,9,1,11,3,9,2,11,1,8,2,9,2,24,1,9,3,24,1,10,1,8,1,9,1,24,3,13,2,8,1,13,1,7,1,24,2,13,1,24,1,13,1,8,1,13,1,8,1,13,2,7,1,8,1,6,1,8,1,9,2,7,1,10,1,24,1,7,1,24,1,8,1,13,1,8,1,6,1,13,2,29,2,6,1,29,2,8,1,7,1,29,1,7,1,6,1,29,1,6,1,7,4,6,2,8,2,7,1,13,4,17,1,28,14,29,1,6,2,30,1,7,1,13,1,6,1,7,1,6,1,8,1,13,1,8,2,7,1,24,2,8,1,13,2,7,1,13,1,7,1,6,1,24,1,13,1,8,1,24,1,8,1,9,1,17,1,10,1,17,4,11,2,10,2,9,3,10,1,13,1,8,3,9,1,24,3,9,2,11,1,10,1,9,2,10,1,13,1,11,1,8,2,9,1,8,1,9,1,12,1,13,1,9,4,13,1,9,2,24,1,9,1,8,2,13,1,24,1,8,1,24,1,13,1,8,1,24,1,13,1,24,1,7,1,24,1,13,1,7,1,8,1,7,1,6,1,8,1,7,1,13,2,29,1,13,4,8,1,24,1,8,1,13,1,8,1,11,1,8,1,13,1,8,1,13,3,8,1,13,1,24,1,13,1,8,1,13,2,8,1,13,4,24,1,13,1,8,1,24,2,7,1,8,2,7,1,8,1,13,2,9,1,8,1,13,1,8,1,7,1,8,1,13,1,7,1,8,3,9,1,24,1,9,1,8,2,9,1,13,1,9,1,8,2,13,2,8,1,13,1,7,1,8,1,13,1,24,1,9,1,13,1,9,1,8,2,24,1,7,1,13,2,8,1,24,1,8,2,10,1,24,1,8,1,24,1,10,1,7,1,24,1,25,1,8,1,24,1,8,2,25,4,8,1,25,3,8,1,7,1,8,2,24,1,10,1,8,1,12,2,8,1,24,1,12,2,10,1,17,2,10,1,17,1,12,1,17,3,12,2,17,3,12,2,10,1,8,2,13,1,24,1,13,2,8,4,24,2,12,1,8,1,13,1,24,1,13,1,8,1,13,1,8,1,10,1,8,1,6,1,13,3,24,1,7,1,13,1,7,1,9,1,8,1,6,1,9,1,13,1,9,1,8,1,9,1,8,3,7,1,10,1,8,2,13,1,8,1,24,1,13,1,9,1,10,1,8,3,13,3,29,1,9,1,13,2,9,2,10,1,9,1,17,3,11,1,13,3,7,1,8,1,9,1,13,2,8,1,13,1,10,1,7,1,9,1,8,1,9,2,8,1,13,1,9,2,13,1,9,5,17,5,11,1,17,3,16,1,17,1,16,1,17,4,16,1,17,1,16,1,17,23,12,2,11,3,9,1,11,1,24,1,9,1,11,1,13,1,9,3,12,1,8,1,9,1,8,1,13,1,8,2,13,1,9,1,12,2,17,6,12,3,17,1,10,1,12,1,10,2,9,1,8,1,10,1,11,1,8,2,9,1,12,2,10,2,9,2,10,1,9,3,8,1,13,1,8,1,29,1,8,1,13,1,11,1,12,1,11,1,7,1,11,1,9,1,13,2,8,1,9,2,12,1,13,1,11,1,10,1,9,1,24,1,8,1,9,1,8,1,13,1,10,1,9,1,24,1,13,1,10,1,13,1,8,1,10,1,13,1,30,2,28,2,30,1,28,1,13,3,10,1,8,1,9,1,13,2,30,1,28,1,6,2,29,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,13,2,6,1,8,1,13,1,9,2,13,4,11,1,8,1,13,1,9,4,16,1,11,1,9,1,11,1,9,1,8,1,16,1,11,2,9,1,11,1,10,1,9,4,11,1,13,1,9,2,13,8,8,1,13,4,8,2,9,2,8,1,9,1,11,2,9,1,11,1,9,1,8,1,9,1,8,1,9,1,13,1,9,5,16,3,11,1,10,1,9,2,16,1,11,1,16,1,9,1,11,2,9,1,11,1,9,6,13,1,9,3,8,1,11,1,16,2,8,1,9,1,8,1,17,1,9,1,11,3,16,1,9,2,11,5,9,1,11,1,9,1,16,1,9,1,11,2,9,1,16,1,10,1,9,1,11,2,16,1,9,1,16,1,9,1,11,1,16,1,9,1,11,4,16,2,11,1,16,1,9,1,16,2,9,1,16,2,11,1,16,3,11,2,30,1,28,7,30,1,28,6,13,1,15,1,12,1,9,1,12,1,24,1,13,2,7,1,6,2,13,1,6,2,28,1,30,2,28,1,6,3,13,1,6,1,13,1,8,1,12,1,8,3,24,1,28,7,7,1,13,2,24,1,6,1,28,21,30,1,28,13,6,1,9,1,13,1,6,1,8,1,6,1,13,1,8,1,13,1,6,1,13,1,9,1,14,2,16,1,17,8,9,1,17,1,10,1,12,1,9,1,10,1,9,1,17,5,11,2,16,2,12,1,17,3,10,1,9,2,16,1,11,1,12,3,15,1,24,1,7,1,24,1,9,1,10,1,9,2,7,1,6,1,13,1,8,2,13,1,9,1,24,3,8,1,9,1,11,1,17,3,10,1,8,1,13,2,17,3,15,1,9,3,8,1,15,1,8,1,12,1,17,1,10,1,8,1,7,1,30,1,13,1,6,1,24,2,10,1,8,1,24,1,12,2,15,1,24,1,17,1,}, {8,2,24,1,8,1,24,2,8,3,12,1,15,1,17,1,12,1,8,1,15,1,24,1,9,1,11,1,9,1,12,1,17,4,9,1,24,1,8,1,9,1,15,1,24,1,17,1,10,1,9,3,8,1,6,1,13,1,12,1,9,1,6,1,9,1,15,1,10,1,8,1,9,1,24,1,13,1,14,1,9,1,24,1,8,2,24,1,8,1,24,1,8,3,13,1,8,2,24,1,8,1,12,1,10,1,24,1,10,1,15,1,14,4,17,1,14,3,24,3,10,1,15,1,12,1,17,2,10,1,12,1,10,1,9,2,15,1,17,1,12,1,17,17,10,1,17,57,11,1,17,1,11,2,8,1,11,3,16,1,11,1,16,2,17,2,11,1,9,1,8,1,13,1,9,2,24,1,13,1,28,35,6,2,24,1,17,1,15,1,29,1,30,1,29,1,6,1,28,1,8,1,12,1,17,2,16,1,9,1,10,1,9,2,8,1,13,2,6,1,29,1,6,1,13,2,6,1,29,2,30,1,13,1,6,1,8,2,24,1,17,3,16,1,17,2,9,1,28,1,29,1,28,4,30,2,6,1,28,1,29,1,28,3,6,1,12,1,17,43,16,1,17,2,16,1,17,1,16,1,17,1,16,5,17,2,16,1,17,1,16,2,17,35,16,1,17,5,11,2,10,1,11,1,13,1,9,1,8,1,13,3,9,1,13,2,9,1,8,1,13,1,8,1,10,1,13,1,6,1,9,1,8,1,9,1,13,1,9,2,13,9,8,1,7,1,13,6,7,1,13,2,8,1,13,1,8,1,9,1,11,1,9,1,11,1,9,1,13,1,9,1,11,1,12,1,9,1,13,1,30,1,6,1,13,3,7,1,13,1,7,1,6,2,13,4,6,2,13,1,7,1,13,3,7,1,13,3,30,1,29,1,13,1,30,1,13,3,7,1,6,1,30,2,7,2,13,2,8,1,13,4,8,1,13,1,29,1,30,1,6,1,13,1,16,2,17,13,16,1,17,1,16,1,17,1,16,1,17,4,16,2,17,2,16,2,17,6,16,1,17,19,16,1,17,5,16,1,17,27,16,14,17,3,16,1,17,1,9,1,11,1,17,2,9,2,11,1,9,2,8,1,9,1,24,1,13,1,8,1,13,1,7,1,6,1,24,1,13,4,29,1,7,1,30,1,29,1,7,1,6,1,7,2,29,1,13,1,29,1,6,1,13,1,6,2,29,1,13,1,29,1,7,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,8,1,6,1,7,3,8,1,17,3,16,7,17,1,16,8,17,1,16,1,17,1,16,2,17,1,16,1,17,2,16,5,17,2,16,2,17,2,16,1,17,1,16,4,17,1,16,1,17,1,16,7,11,1,16,1,11,1,16,4,17,1,16,4,10,2,8,1,9,2,10,1,9,6,11,1,9,2,11,1,10,1,9,1,11,2,8,3,9,4,16,1,9,1,8,1,9,2,10,1,9,3,13,3,9,4,11,1,8,2,9,2,8,1,9,4,8,1,9,1,8,2,9,1,8,1,9,3,13,1,11,1,9,2,10,1,9,4,11,2,10,1,11,1,9,4,8,1,9,2,8,1,9,2,8,1,11,1,9,1,8,1,11,1,10,2,11,1,13,1,10,1,9,3,16,1,11,2,9,1,8,1,16,1,11,1,8,1,11,2,9,3,16,1,10,1,11,1,9,2,11,3,9,1,11,1,10,1,11,1,9,4,11,2,9,1,11,1,16,1,11,1,9,1,11,2,16,2,17,2,11,3,9,1,11,2,16,1,11,2,17,1,9,1,11,2,16,3,11,1,16,4,17,27,16,1,11,1,17,1,16,1,17,1,16,2,11,1,16,1,11,1,16,3,17,1,16,4,11,1,17,1,11,1,17,2,16,1,17,2,16,1,17,13,16,1,11,1,17,4,16,1,17,4,16,2,11,1,9,1,16,1,9,1,16,1,17,25,16,3,17,1,11,1,9,3,13,1,8,1,13,2,24,2,9,2,17,11,16,3,11,1,16,1,11,2,16,3,17,8,16,1,17,1,16,1,17,1,16,4,17,1,16,9,17,1,16,4,11,1,16,1,13,1,28,1,6,1,28,1,30,6,28,2,30,5,28,1,30,1,28,1,30,5,6,1,30,2,29,1,30,2,29,1,28,1,6,1,30,6,28,1,30,2,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,2,6,1,28,1,30,2,6,1,28,1,30,4,6,1,30,5,29,2,30,5,28,1,30,4,29,1,30,3,6,1,28,1,6,2,28,1,30,1,6,4,28,1,30,1,6,1,30,8,6,1,30,2,6,1,30,1,29,1,30,2,29,1,28,1,29,1,28,1,30,1,6,1,30,1,6,1,28,2,6,1,29,1,6,1,28,1,6,1,28,1,30,3,6,2,30,1,6,4,7,1,30,1,29,1,6,1,13,5,7,2,6,4,7,1,13,1,30,1,7,1,6,4,30,3,29,1,6,1,30,3,6,1,29,1,6,1,30,1,6,2,29,1,28,1,30,2,6,6,7,1,6,4,7,1,30,1,13,1,7,1,13,2,8,1,13,1,6,1,13,1,6,2,13,1,29,1,6,3,7,1,6,1,29,1,13,1,30,1,6,1,30,5,28,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,2,30,2,6,1,30,1,6,1,7,1,6,1,7,1,6,2,13,1,6,2,7,1,30,1,6,3,29,2,6,2,30,1,6,3,28,1,30,1,6,2,30,1,6,1,30,1,6,2,29,1,30,1,6,1,30,3,29,1,30,1,6,1,30,7,6,1,7,1,6,2,30,1,6,2,30,1,6,1,30,5,6,2,30,1,6,1,30,1,13,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,29,1,6,1,13,4,6,1,7,1,9,1,13,1,9,1,13,1,17,1,16,1,9,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,2,11,2,16,1,11,1,9,1,11,2,17,1,11,2,16,1,17,2,16,1,11,1,16,2,11,6,16,2,11,1,16,1,9,1,10,1,16,2,11,1,16,1,11,3,16,2,11,1,16,1,11,1,17,1,11,1,16,3,11,3,16,1,9,1,16,1,13,2,8,1,11,1,17,1,11,1,9,1,11,2,9,2,11,2,9,1,8,1,12,1,8,1,9,2,24,1,9,1,12,1,9,1,10,1,8,1,13,1,11,1,24,1,13,1,8,1,13,1,6,1,9,1,6,1,10,1,9,1,7,1,9,1,8,1,7,1,13,1,8,1,13,1,8,1,13,2,24,3,13,1,8,2,24,1,8,1,13,1,6,1,8,1,6,1,8,1,29,1,13,1,7,1,6,1,30,1,29,1,6,2,29,1,6,1,7,1,6,1,7,2,6,1,30,1,29,1,6,1,7,1,8,1,13,5,9,1,29,1,28,13,30,1,28,1,30,1,29,1,30,1,8,1,7,2,13,4,8,1,6,1,8,2,24,1,8,1,13,2,29,1,6,2,8,1,13,1,24,3,8,1,24,1,10,1,12,1,17,4,9,2,12,2,10,1,11,1,10,1,8,1,10,1,8,1,10,1,8,2,10,1,9,1,8,1,24,1,9,1,8,1,11,1,10,1,9,1,10,2,11,1,9,4,10,2,9,1,8,3,12,1,8,1,24,1,10,1,8,2,9,1,10,1,24,1,8,2,24,1,9,1,24,2,9,1,24,1,13,1,8,1,13,2,6,1,13,2,7,1,13,1,6,3,7,1,6,1,8,3,24,1,9,1,13,1,8,2,13,2,8,1,6,1,24,1,8,1,13,1,24,1,8,1,13,2,8,1,24,1,8,1,13,3,8,2,13,2,24,1,8,2,9,1,13,1,8,1,13,1,7,1,24,1,13,1,6,2,30,1,13,1,7,1,13,1,7,1,13,3,8,1,13,2,24,1,8,2,13,1,24,2,8,1,7,1,13,3,30,1,24,1,7,1,24,1,8,1,13,1,9,1,10,2,8,1,9,1,10,1,17,1,8,1,24,3,25,1,24,1,8,2,25,1,24,1,7,1,25,3,8,1,25,1,24,1,25,1,24,1,25,1,24,2,25,1,24,1,8,1,25,1,13,4,8,1,10,1,12,1,17,1,24,1,12,1,10,1,12,1,10,1,12,2,17,1,9,1,17,1,12,1,17,1,9,1,17,3,9,1,17,1,9,1,17,1,10,1,8,7,13,1,8,5,13,1,24,1,8,2,13,1,8,2,6,1,13,2,6,1,13,8,8,2,9,1,10,1,9,1,13,1,8,1,9,1,13,1,7,1,9,1,13,2,7,1,9,1,8,2,13,3,8,1,13,1,8,1,13,1,6,1,13,2,8,1,13,1,17,1,12,1,17,2,12,2,8,1,9,1,8,1,11,1,8,1,6,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,2,9,2,11,1,13,1,9,1,8,1,9,6,17,9,16,1,17,1,16,1,17,4,16,2,17,1,16,1,17,1,16,1,17,5,11,1,17,11,12,1,17,1,12,1,11,1,12,1,11,2,12,1,8,1,11,1,9,3,13,1,8,1,13,1,9,2,8,1,9,1,13,3,8,1,10,1,24,1,12,2,17,1,12,1,17,2,12,1,17,1,11,1,17,1,9,1,12,1,11,2,9,1,10,1,8,2,12,1,9,1,8,1,24,1,11,1,9,1,13,1,11,1,9,1,8,1,17,1,9,1,8,1,10,1,9,1,13,2,9,1,8,2,9,1,6,1,10,1,17,1,8,1,13,2,8,2,9,2,13,1,9,2,11,1,9,3,10,1,13,1,8,1,10,1,9,1,8,1,9,1,13,1,10,1,24,1,13,3,30,1,28,2,6,1,28,3,6,1,7,2,6,1,30,3,6,3,13,3,7,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,28,1,6,1,7,1,8,1,9,2,10,1,13,1,9,1,13,1,9,9,16,1,9,1,11,1,9,1,10,1,9,3,11,1,9,4,11,2,9,4,13,1,9,1,13,1,8,1,13,4,9,1,13,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,11,1,16,1,11,3,9,3,11,1,10,1,11,1,9,1,11,2,16,2,9,4,11,1,9,2,13,1,11,2,10,1,9,3,11,1,9,1,11,1,9,2,8,1,9,5,16,1,9,3,16,1,9,1,11,1,9,1,11,1,16,1,9,5,11,1,16,1,9,2,11,1,9,6,10,1,16,1,11,1,9,1,16,1,9,1,16,2,11,1,9,1,11,1,9,2,16,7,11,1,9,1,16,1,11,2,16,1,11,1,16,2,11,3,9,1,28,5,29,1,28,1,30,2,28,6,13,1,15,1,12,3,10,1,13,1,6,5,7,1,28,1,6,1,28,1,30,1,6,1,30,1,13,1,6,1,24,2,10,2,12,1,9,1,8,1,24,1,7,1,28,7,13,1,8,2,7,1,30,1,28,35,6,1,24,1,9,1,13,1,8,1,6,2,7,1,29,1,13,1,7,1,13,1,8,1,14,1,16,1,14,2,17,6,9,1,17,2,11,1,10,1,16,1,8,1,17,3,12,1,11,1,17,1,9,1,16,1,10,1,17,4,11,1,10,1,17,1,8,1,10,1,9,1,8,2,10,1,24,1,8,2,12,1,8,1,13,1,10,1,8,1,9,1,6,1,8,3,9,1,10,1,13,1,9,1,13,1,10,2,17,2,9,1,7,1,13,1,24,1,8,1,9,1,17,1,10,1,17,1,10,1,24,1,8,1,6,1,15,1,8,1,12,1,24,1,15,1,7,1,6,1,7,1,6,1,13,1,6,1,10,1,15,1,7,1,13,1,8,1,9,1,24,2,9,1,}, {13,1,8,1,7,1,13,1,8,1,6,1,24,2,13,1,15,2,17,1,15,1,8,1,24,1,7,1,24,1,10,1,8,1,10,1,17,4,12,1,10,1,9,1,8,1,10,1,15,1,24,1,8,2,13,2,8,1,13,2,9,1,24,1,10,1,12,1,9,1,12,1,24,1,15,1,9,3,6,1,24,1,8,1,13,3,8,1,9,1,13,1,8,3,9,1,8,1,24,1,8,2,14,1,9,1,15,1,17,3,14,4,9,2,10,1,15,1,9,1,24,1,9,1,14,1,17,2,11,1,12,1,14,1,10,1,15,1,17,1,9,1,17,1,10,1,17,14,16,1,17,61,16,1,10,1,9,1,11,1,16,1,9,1,10,1,16,1,17,3,10,1,9,1,13,1,9,4,6,2,28,28,30,1,28,1,30,1,28,2,30,1,28,1,13,1,7,1,14,2,28,1,30,1,28,1,13,1,29,1,13,1,17,2,12,1,10,1,16,1,12,1,16,1,9,1,8,2,6,1,13,1,6,2,13,2,30,4,6,1,13,3,8,1,17,3,9,1,17,3,29,1,28,5,30,3,29,2,28,3,6,1,17,50,16,1,17,1,16,1,17,36,16,3,9,1,11,1,9,1,11,1,8,1,11,1,9,2,13,1,9,1,8,2,13,2,8,1,9,1,8,2,9,1,8,1,9,1,13,1,9,1,8,2,10,1,13,3,8,1,13,3,9,1,13,1,9,1,13,10,6,1,30,1,13,1,8,1,13,3,8,1,13,1,9,1,13,2,8,1,7,1,10,1,11,2,9,1,8,1,13,1,8,1,10,1,11,1,10,1,8,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,30,1,6,2,7,1,13,4,7,1,13,6,29,1,6,1,7,1,13,2,6,1,13,2,29,1,13,3,6,1,13,2,6,1,13,1,9,1,13,3,30,1,6,1,30,1,13,1,16,1,17,16,16,2,17,4,16,1,17,3,16,1,17,2,16,1,17,8,16,1,17,45,16,21,17,2,11,2,17,1,11,2,9,1,10,1,16,1,8,1,17,1,8,1,17,1,9,2,24,1,13,1,10,1,8,2,6,1,7,2,29,2,6,3,7,1,6,1,7,1,13,1,30,1,13,1,7,1,13,1,6,1,30,1,6,1,7,2,6,2,30,1,6,1,7,1,6,1,13,1,30,1,7,1,6,1,13,1,29,1,13,1,8,1,9,2,17,2,16,17,17,1,16,2,17,1,11,1,16,5,17,1,16,2,17,1,16,6,17,1,16,1,17,1,16,1,17,1,16,5,17,4,16,1,17,3,16,7,11,2,13,1,9,1,8,1,11,1,9,4,11,1,10,1,9,7,11,1,10,1,9,1,11,2,9,5,8,1,9,5,7,1,13,1,8,2,16,1,9,1,13,1,9,3,13,1,9,2,8,1,13,2,9,3,13,1,9,1,8,1,9,5,8,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,9,3,11,1,16,1,9,1,11,1,9,5,13,1,9,1,11,1,9,1,11,1,9,5,11,1,13,1,9,3,11,4,9,1,16,1,9,1,16,1,9,1,11,1,9,3,11,1,9,1,11,2,9,1,11,1,9,1,11,2,9,7,10,1,9,2,11,2,16,1,9,1,11,2,10,1,9,1,17,1,11,1,17,1,16,1,11,1,16,1,11,2,9,1,11,2,17,1,16,3,11,3,16,2,11,1,16,3,11,2,16,1,17,23,16,1,17,1,11,2,9,1,16,1,17,1,16,1,11,2,16,3,11,1,16,1,17,1,16,2,10,1,16,1,11,1,16,3,17,1,11,1,17,1,16,1,17,1,10,1,17,9,16,2,9,1,17,1,9,1,17,1,12,1,17,1,11,1,16,1,9,1,16,3,9,1,16,1,11,2,16,3,17,1,16,2,17,16,16,1,17,5,16,5,11,2,10,1,9,1,10,1,24,1,8,4,24,1,9,1,16,1,17,9,16,3,11,2,16,1,11,3,9,2,16,2,17,1,16,2,17,2,16,3,17,1,16,7,17,1,16,5,17,2,16,4,11,1,16,1,17,1,11,1,30,1,13,1,30,7,28,1,30,2,28,2,30,1,28,1,30,3,28,1,30,8,28,1,30,2,28,1,6,1,28,1,30,4,28,1,30,1,28,1,30,3,28,1,30,1,28,1,29,1,30,1,28,1,6,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,6,1,30,9,6,2,30,1,6,1,30,5,28,1,30,5,6,1,30,1,6,2,13,1,6,3,30,1,13,1,6,2,30,3,6,1,30,3,6,1,30,4,28,1,30,1,28,1,30,1,6,1,30,2,28,1,30,2,28,1,30,2,28,1,29,1,30,4,6,2,30,2,28,1,30,3,6,1,30,4,6,2,30,3,6,1,13,1,6,3,30,1,6,1,30,1,6,2,30,1,6,1,29,1,30,1,6,1,28,1,6,1,30,3,6,1,30,2,6,1,29,3,6,2,29,1,30,2,13,1,17,1,28,1,30,1,6,1,30,2,6,2,30,1,6,2,30,1,6,2,13,1,6,2,13,3,8,1,13,3,7,1,13,1,6,2,29,2,13,1,6,2,7,2,13,2,6,3,7,1,13,1,29,1,30,1,13,3,6,2,30,2,13,1,30,1,6,4,30,1,7,1,6,1,30,1,13,1,6,1,29,2,30,1,6,1,30,1,6,1,28,1,6,2,30,1,6,4,29,1,30,2,6,1,30,1,28,1,6,1,29,1,30,1,29,2,30,6,29,1,6,2,29,1,6,1,28,1,30,3,6,1,30,2,28,1,6,4,30,1,29,1,6,2,7,1,13,1,6,2,30,2,7,1,13,1,6,2,7,1,6,2,30,1,6,1,28,1,30,1,6,2,30,2,29,1,28,1,6,1,13,1,30,1,28,1,7,1,30,3,28,2,30,1,28,3,30,6,7,1,13,1,8,1,13,2,7,1,13,1,9,2,11,1,9,1,11,1,13,1,9,2,8,1,13,1,9,1,10,1,8,1,9,2,16,3,11,1,16,1,11,2,16,1,11,1,10,1,11,1,16,2,11,1,16,1,11,1,16,2,11,2,16,1,17,1,11,2,16,1,11,1,16,5,17,1,11,2,9,1,10,1,16,1,9,1,8,1,9,1,17,2,11,2,10,1,9,1,10,1,9,2,24,1,9,1,10,1,8,1,12,1,9,2,11,1,8,1,10,1,9,1,13,1,9,1,8,7,7,1,13,1,9,1,8,1,13,1,9,1,6,1,13,1,6,1,24,2,8,1,13,1,24,1,13,1,8,2,13,1,8,3,13,3,6,2,13,1,6,2,29,1,6,1,29,1,7,1,29,1,6,2,29,1,6,2,7,1,29,2,6,1,7,1,13,1,30,1,6,1,7,1,8,2,13,1,8,2,28,17,29,1,30,1,29,1,7,2,6,1,8,1,6,1,8,1,7,2,8,1,24,4,8,1,7,2,29,1,6,1,13,2,8,2,9,1,8,1,12,2,17,4,11,1,9,1,11,1,9,1,12,1,9,1,10,1,9,3,13,1,12,1,8,3,24,1,9,1,10,1,8,1,24,2,11,1,9,1,12,1,9,1,10,1,9,1,12,1,9,1,11,1,9,1,10,1,9,2,24,1,9,2,24,1,10,1,8,1,24,2,13,1,24,1,9,1,7,1,8,1,13,1,9,1,8,2,13,1,8,1,13,1,8,1,7,3,13,1,8,1,13,2,6,1,13,1,7,1,13,5,9,1,13,1,9,1,13,3,8,3,13,1,24,1,7,1,13,1,7,1,13,1,6,1,8,1,13,1,8,1,13,3,24,1,8,1,13,1,8,1,10,1,8,2,6,1,8,1,13,2,7,1,6,1,13,1,8,2,30,1,6,1,7,1,8,1,13,5,8,1,13,2,7,1,8,1,13,1,8,1,13,1,24,1,13,1,8,1,10,1,17,1,10,1,12,1,9,1,24,1,17,1,9,1,12,1,10,1,24,1,10,1,24,2,10,1,13,2,8,1,24,1,8,1,25,1,8,2,26,1,8,1,24,1,6,1,25,1,8,1,25,1,8,1,24,1,26,1,8,1,7,1,25,1,6,1,7,1,8,1,25,1,24,1,8,2,13,1,6,1,24,1,8,1,24,1,12,1,24,1,12,2,24,1,12,1,11,1,17,1,24,1,12,1,10,1,17,1,10,1,12,2,17,2,9,2,11,1,12,1,24,3,9,1,8,3,13,1,24,1,7,1,13,3,8,2,7,1,13,1,6,1,8,1,13,4,8,1,7,1,13,1,8,1,13,2,8,2,24,1,8,1,13,2,9,1,8,1,13,1,9,2,6,1,9,1,7,1,13,1,7,1,13,1,8,1,9,1,13,1,9,2,13,1,8,1,9,1,13,1,8,3,9,1,8,1,9,1,17,1,12,2,17,1,11,1,12,2,11,1,8,1,17,1,11,1,17,1,11,1,8,1,9,1,7,1,9,1,13,4,9,1,13,1,9,1,8,1,9,2,10,1,9,1,8,2,11,1,8,1,17,1,16,1,17,7,16,1,17,7,16,1,17,1,16,1,17,6,16,1,17,3,12,3,17,4,12,2,11,1,17,2,11,1,12,1,11,3,10,1,8,1,9,2,8,1,13,2,8,2,7,1,13,2,8,2,13,1,9,2,17,1,12,1,11,1,17,1,10,1,17,1,12,1,17,1,10,4,17,2,9,1,17,1,10,3,8,2,13,1,10,1,8,1,9,2,8,1,11,1,8,2,9,1,8,1,10,1,9,3,7,1,8,2,9,1,8,1,24,1,12,1,8,1,9,1,13,1,8,1,13,2,9,1,8,2,10,1,9,2,13,1,11,1,24,1,9,1,24,1,9,1,10,1,13,1,8,1,13,1,24,1,13,2,8,1,6,1,30,2,28,1,30,3,28,1,6,1,30,1,6,1,28,1,30,1,28,1,29,1,30,1,28,1,8,1,13,1,9,1,13,2,8,1,9,2,8,2,13,1,8,1,13,4,8,2,17,1,8,1,9,1,6,1,9,1,13,1,9,2,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,3,10,1,16,1,13,1,9,7,11,1,16,1,9,6,13,6,9,2,8,1,9,1,13,1,9,4,11,1,9,1,11,2,9,1,11,1,9,1,11,2,17,1,16,4,9,9,11,1,8,1,9,2,8,1,9,1,11,1,13,2,9,1,13,1,9,4,8,1,9,1,11,2,16,1,9,1,11,1,8,1,9,1,16,3,11,2,9,1,11,1,9,2,11,3,9,1,10,2,11,1,16,2,10,1,11,1,9,1,11,3,16,1,11,2,9,1,11,2,9,1,11,1,9,2,16,3,11,1,16,1,11,2,16,4,11,1,16,2,11,3,13,1,28,14,7,1,9,1,10,1,9,1,11,1,10,1,9,1,13,1,7,1,13,1,29,1,30,1,6,3,30,1,28,2,29,1,6,2,8,1,12,2,16,1,17,1,16,1,8,1,10,1,7,1,28,7,8,2,7,1,24,1,28,36,6,1,13,3,7,1,13,1,6,2,13,2,6,1,8,1,13,1,7,1,16,1,14,3,17,4,16,1,10,1,11,1,17,1,16,1,17,1,11,2,17,4,9,2,17,1,24,1,16,1,17,4,8,1,16,1,11,1,9,1,11,1,9,2,10,1,8,1,9,1,24,1,9,1,24,1,10,1,9,1,15,1,24,1,11,1,10,1,24,1,8,1,15,1,24,1,17,1,7,1,11,1,13,1,9,1,11,1,17,1,15,1,12,1,24,1,8,1,7,1,13,1,9,1,17,1,15,1,17,1,12,1,9,1,8,2,24,3,17,1,24,1,6,1,30,1,6,1,29,1,8,1,13,1,17,1,8,1,7,1,9,1,10,2,8,1,9,1,15,1,}, {24,1,13,2,8,1,24,1,9,2,24,1,17,1,15,1,17,2,8,1,9,1,8,1,13,1,8,3,9,2,17,1,11,1,17,3,24,2,10,1,8,1,9,1,6,1,24,1,8,1,24,1,8,1,6,1,11,1,9,1,10,2,9,1,24,1,9,2,8,1,24,1,8,1,11,1,8,1,6,1,7,1,8,1,10,1,24,1,8,2,7,1,8,1,24,3,15,1,24,1,14,2,10,1,8,1,17,1,14,1,12,1,14,1,17,1,14,4,11,1,9,1,13,1,9,1,15,2,17,1,15,2,9,1,17,1,14,2,15,1,12,1,9,1,17,78,11,3,9,1,11,1,12,1,8,1,11,1,17,1,11,1,17,2,10,1,7,1,13,1,9,3,13,1,28,34,29,1,30,1,6,1,8,1,14,1,15,1,7,1,6,2,28,1,13,2,11,1,17,1,10,1,16,1,11,1,9,1,15,1,9,1,10,1,24,2,13,1,6,2,13,1,6,2,30,2,6,1,24,1,13,1,7,1,13,2,9,1,12,1,17,1,12,1,17,3,30,2,28,3,30,1,28,1,6,2,30,1,29,1,28,3,30,1,16,1,17,1,16,1,17,47,16,2,17,5,16,1,17,22,11,1,9,1,10,2,9,3,13,1,9,2,13,1,8,1,9,2,10,1,9,1,11,1,13,1,9,1,8,3,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,8,2,6,1,9,1,13,1,9,1,8,1,13,1,8,3,13,1,8,1,13,4,9,1,6,1,8,1,13,2,7,1,13,8,6,1,9,1,13,1,9,1,8,1,13,1,9,3,13,1,9,1,16,1,12,1,8,1,9,2,13,1,9,3,13,1,6,1,13,1,6,1,8,1,13,1,7,1,6,2,29,1,6,1,30,1,7,2,13,1,30,1,13,2,6,2,8,1,13,3,6,1,13,1,6,3,13,2,7,1,13,1,6,1,8,1,7,1,13,1,30,1,13,4,7,1,13,4,8,1,28,1,30,1,28,1,13,1,11,1,17,19,16,1,17,4,16,1,17,10,16,1,17,13,16,1,17,13,16,1,17,16,16,1,17,1,16,5,17,1,16,2,17,1,16,3,17,1,16,9,17,2,11,2,17,2,11,1,17,1,11,1,10,1,17,1,12,1,24,1,12,1,11,1,24,1,9,2,24,1,8,1,6,2,7,1,6,1,29,1,6,1,28,1,7,2,6,2,13,1,6,1,13,1,7,1,6,1,13,1,30,1,6,1,28,1,29,1,30,2,6,4,7,2,6,1,13,3,6,2,7,1,13,1,7,1,9,1,17,3,16,2,17,1,16,14,17,1,16,1,11,1,16,7,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,2,17,4,16,2,17,3,16,1,17,9,16,2,17,2,11,2,9,3,13,1,9,9,11,1,9,2,8,1,9,2,11,1,9,2,11,1,9,7,16,1,9,4,16,1,9,4,13,1,8,1,9,1,8,4,13,1,9,1,13,1,11,1,8,1,9,3,8,1,11,1,8,1,13,1,9,1,10,1,13,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,3,10,1,9,1,11,1,10,1,9,4,8,1,13,1,8,1,9,3,11,2,9,1,10,1,8,1,9,1,11,1,9,1,11,1,13,1,9,1,10,1,9,1,11,1,10,1,9,1,11,2,9,1,11,1,8,1,16,1,9,2,11,1,16,1,13,1,11,1,16,1,8,1,11,1,9,3,11,2,9,3,11,1,9,2,16,2,11,1,8,1,11,1,10,1,11,1,17,1,16,1,11,1,16,1,11,3,9,1,11,1,16,1,11,1,10,1,11,2,17,1,16,6,11,1,16,2,11,2,16,2,17,19,16,1,17,4,9,1,11,3,17,1,11,1,10,1,11,1,16,1,11,1,9,1,16,3,11,1,16,4,11,1,17,3,16,1,17,2,16,1,17,11,16,1,17,1,9,1,16,1,11,1,12,1,9,2,11,1,16,1,11,1,16,1,11,1,10,1,16,1,11,2,16,1,17,1,16,1,11,1,16,1,17,23,16,4,11,1,16,1,11,1,16,1,11,2,8,1,13,1,11,1,24,1,9,1,24,1,8,1,9,2,17,8,16,5,11,2,9,5,16,8,17,1,16,1,17,1,16,4,17,1,16,4,17,1,16,2,17,1,16,8,11,1,17,1,13,1,30,1,6,1,29,1,30,7,28,2,30,2,28,2,30,3,28,1,30,1,6,1,30,2,6,1,30,2,6,2,30,3,6,1,30,3,28,1,30,1,28,1,30,4,6,1,28,1,30,3,28,1,30,4,6,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,6,3,29,1,6,3,13,1,30,2,28,1,30,1,28,1,30,8,6,2,29,1,6,1,30,1,13,3,6,2,30,1,6,1,30,1,28,1,29,1,30,1,28,2,30,1,28,1,30,2,28,2,6,1,30,1,28,1,30,10,6,3,30,1,6,1,28,1,29,1,30,1,29,1,28,1,6,1,30,1,6,1,28,1,30,4,28,1,29,1,30,1,28,1,7,1,29,2,30,3,6,1,30,1,28,1,30,1,6,2,30,2,28,1,29,1,30,5,29,1,30,3,29,2,30,1,29,1,30,1,28,1,30,2,13,1,30,2,28,1,6,1,30,3,6,3,30,1,6,2,7,1,6,1,7,1,6,1,7,1,6,1,13,2,7,1,30,1,6,3,29,1,6,4,29,1,6,3,29,1,6,3,30,1,6,4,13,1,30,1,29,1,6,2,30,1,6,3,30,1,6,2,30,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,6,2,30,1,29,2,30,2,29,2,6,1,30,1,29,2,30,2,6,1,28,1,30,2,6,1,30,1,29,1,28,1,30,1,6,1,30,2,29,1,30,4,6,1,30,1,6,2,30,1,6,2,30,1,6,1,29,1,30,1,29,1,30,1,6,3,13,1,30,1,29,1,6,1,28,1,6,1,30,2,28,3,30,1,29,1,30,2,6,1,28,1,30,1,6,1,28,1,30,2,13,1,6,1,30,3,6,1,30,1,6,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,5,30,1,28,1,30,3,6,2,13,1,6,1,9,1,13,1,7,1,6,1,13,1,6,1,13,1,6,3,30,1,6,1,28,1,30,2,13,1,6,1,7,1,6,1,13,1,6,2,13,2,8,1,9,2,13,1,11,1,10,1,9,2,16,1,11,1,9,2,11,1,9,2,11,1,10,1,11,2,16,2,9,1,13,2,8,1,17,2,12,2,10,1,9,1,10,1,9,1,11,1,9,1,10,1,11,1,9,1,24,1,11,1,24,1,12,1,10,1,11,1,8,1,9,1,8,1,10,1,9,1,13,1,8,1,24,1,7,1,13,1,24,1,7,2,24,1,9,1,8,2,24,1,7,1,8,1,9,1,13,1,8,1,24,1,9,1,24,1,8,1,13,4,8,1,13,1,8,1,6,1,8,1,6,1,30,1,7,1,29,1,6,3,29,1,28,1,6,4,29,1,6,1,7,1,13,1,7,1,6,1,13,2,7,1,6,1,13,1,8,1,13,1,28,19,6,1,28,1,6,1,30,1,6,1,29,1,13,1,8,1,7,1,13,1,8,1,13,1,7,1,13,1,8,2,6,3,13,1,6,1,13,1,7,1,24,1,8,1,24,1,12,2,17,5,9,1,11,2,9,1,12,1,9,6,24,1,10,1,24,1,11,1,8,2,9,4,10,1,9,1,17,1,9,1,17,1,11,1,10,1,9,1,10,1,9,1,8,1,10,2,9,2,13,1,10,1,13,1,8,1,13,1,8,2,24,1,9,1,8,3,24,1,9,1,8,2,9,1,13,2,8,1,7,1,8,1,13,1,6,1,13,1,6,1,8,1,7,1,13,1,7,2,8,1,13,1,8,1,13,1,8,1,9,1,8,1,13,2,10,1,13,1,24,1,9,1,13,1,7,1,8,1,13,2,8,2,13,1,7,2,8,2,13,1,8,2,24,2,10,1,24,3,8,1,24,1,13,1,7,3,13,1,8,1,6,1,13,3,7,1,8,1,13,2,8,1,24,1,13,1,8,1,13,1,9,1,13,1,9,1,11,1,12,1,8,1,24,1,12,2,10,2,12,1,10,1,12,1,10,1,12,3,24,3,7,1,6,1,25,1,29,1,25,1,26,1,6,1,25,1,8,1,26,1,27,2,25,2,26,1,25,2,8,2,24,1,7,1,8,1,7,1,25,1,24,1,25,1,8,1,7,4,24,1,12,1,10,1,24,1,17,1,10,1,24,1,12,3,17,1,12,1,17,1,10,1,17,1,10,1,12,1,17,1,11,1,12,1,9,1,10,1,24,1,9,1,24,1,12,1,13,1,10,1,13,1,8,3,13,1,7,1,13,1,6,1,24,1,8,1,6,1,13,2,7,1,8,2,13,2,7,4,8,1,13,1,7,1,13,1,8,1,9,1,13,1,24,1,8,1,7,1,8,2,13,3,8,1,13,2,9,1,13,2,8,2,13,1,8,1,9,1,8,1,10,2,9,2,10,2,17,2,11,1,13,1,8,2,11,2,12,1,17,3,10,1,17,1,9,1,17,1,9,1,8,1,11,1,8,1,13,1,9,1,8,3,13,3,9,1,8,1,9,1,8,1,11,1,17,1,16,1,17,9,16,1,17,5,16,1,17,1,16,2,17,1,16,1,17,16,12,2,11,1,10,1,12,2,11,1,9,1,8,1,9,2,8,1,13,2,8,1,13,3,8,1,13,1,8,1,9,2,11,1,12,3,11,1,12,1,10,1,12,3,17,2,12,1,17,1,12,1,17,1,10,2,12,1,9,1,8,1,9,1,8,2,13,4,8,1,24,1,13,1,9,2,10,2,11,1,8,1,17,1,13,1,9,1,13,1,8,2,13,1,8,1,17,1,9,1,11,1,24,1,8,1,11,1,10,1,13,1,8,2,11,1,9,1,8,2,13,1,12,1,24,1,9,1,8,6,9,1,8,1,6,2,28,1,6,1,28,4,30,3,6,2,30,1,6,1,13,1,30,1,6,1,9,1,8,1,13,1,8,1,9,2,13,1,9,4,24,1,9,2,8,1,13,4,10,2,13,3,9,1,11,2,9,1,11,1,9,2,11,1,16,3,9,2,11,1,9,3,13,1,9,2,11,1,9,3,11,1,9,1,11,2,9,4,8,1,9,1,13,3,9,1,11,1,9,1,13,3,9,1,11,1,9,1,11,1,9,2,16,2,11,1,16,1,11,2,17,1,16,1,9,1,11,1,9,1,11,1,9,8,11,1,9,1,11,2,13,1,11,1,9,2,8,1,9,2,11,1,9,3,11,2,9,5,16,1,9,1,16,1,9,1,11,3,16,3,9,2,11,3,9,4,11,1,16,1,9,1,11,1,9,1,16,1,9,1,11,2,16,1,9,2,11,1,9,1,11,6,16,1,11,1,10,1,16,6,11,1,17,2,8,1,28,6,30,1,28,7,7,1,11,1,12,1,8,1,15,1,8,1,13,1,8,1,6,2,29,1,6,1,30,1,6,1,30,1,6,1,28,1,29,3,7,1,8,1,9,1,24,1,17,1,12,1,17,1,24,1,9,1,29,1,28,7,9,1,8,1,6,1,13,1,28,36,13,1,8,2,13,1,6,2,13,2,30,2,6,4,13,1,14,3,17,5,12,1,16,1,17,2,10,1,17,1,16,1,17,3,16,1,11,1,10,1,17,2,12,1,17,3,11,1,10,1,11,1,17,2,9,1,10,1,9,1,6,1,9,1,8,4,9,1,8,1,14,1,24,1,8,1,24,1,10,1,8,2,24,1,9,3,24,1,12,1,9,1,11,1,15,1,9,1,7,1,13,2,12,1,17,1,15,1,12,1,24,3,13,1,24,1,10,1,24,3,10,1,30,1,28,1,6,3,13,1,9,1,13,1,24,1,13,1,24,1,9,1,24,2,9,1,}, {13,1,24,1,9,2,12,1,10,1,17,1,24,1,11,1,17,3,12,1,6,1,8,1,24,1,13,2,7,1,10,1,17,5,8,3,24,1,9,1,8,1,7,2,9,1,24,2,13,1,9,1,8,1,9,4,24,1,15,1,9,1,24,1,15,1,24,2,28,1,29,1,9,1,8,1,13,1,8,1,24,2,9,1,24,1,9,1,24,1,10,1,8,1,9,1,15,1,8,1,15,1,14,1,17,3,14,5,10,1,9,1,24,1,14,1,15,1,12,1,14,1,17,2,12,1,15,1,12,1,11,1,15,2,11,1,9,1,17,16,16,1,17,53,16,1,17,3,10,2,11,1,17,1,9,1,11,1,7,1,9,2,16,1,9,1,17,1,12,1,17,2,9,1,8,1,13,1,8,1,10,1,9,1,29,1,28,32,30,1,28,1,30,1,28,1,30,1,8,1,15,2,13,1,28,1,6,1,29,1,6,1,9,2,17,1,16,1,9,1,17,1,12,1,10,1,12,1,8,2,13,5,6,1,7,1,29,1,30,1,7,2,13,1,8,1,7,1,13,1,24,1,12,1,9,1,17,3,9,1,6,1,28,1,30,1,28,4,29,1,30,1,6,1,30,1,29,1,28,3,11,1,17,39,16,1,17,30,16,1,17,1,9,1,16,1,9,3,13,1,8,1,13,1,8,1,9,1,13,1,8,1,9,1,8,2,12,1,8,1,13,1,8,1,11,1,8,1,11,1,9,1,11,1,8,2,9,1,8,4,13,1,9,2,8,3,13,3,8,1,9,1,8,2,9,1,13,2,8,1,9,1,8,1,13,2,8,1,13,7,7,2,13,1,7,1,13,1,7,1,13,3,7,1,13,2,7,1,13,1,9,1,13,2,9,3,16,1,9,1,8,2,13,1,9,1,8,1,11,1,9,1,8,1,6,3,29,1,8,1,7,1,29,1,6,1,7,1,8,1,30,1,13,1,7,1,13,1,7,1,13,2,6,1,13,2,8,1,13,1,6,1,13,2,29,1,13,3,7,1,13,4,7,1,6,3,13,1,6,1,13,2,8,1,6,1,29,1,6,1,13,1,30,1,28,1,30,1,7,1,11,1,17,17,16,1,17,57,16,1,17,4,16,2,17,1,16,1,17,1,16,20,17,2,12,1,17,1,11,1,10,1,11,1,10,1,17,1,11,1,17,1,24,1,17,1,13,1,8,1,24,1,9,1,7,1,9,1,13,1,6,1,8,1,6,2,7,1,6,1,13,2,7,1,13,1,7,1,29,1,7,2,13,1,6,1,29,2,30,1,6,3,30,1,13,1,6,2,29,2,8,1,7,1,13,1,7,2,13,4,8,1,11,1,17,4,16,11,17,1,16,12,17,1,16,6,17,4,16,1,17,16,16,1,17,3,11,3,13,1,11,1,9,1,8,1,11,1,13,1,9,1,17,1,9,2,11,1,9,2,8,1,9,6,16,1,11,2,9,1,11,1,9,2,11,1,13,1,10,1,8,1,9,2,8,1,9,2,8,1,9,4,10,1,9,1,8,2,9,4,8,1,9,2,13,1,9,2,13,1,9,4,8,1,9,1,13,1,9,1,8,1,9,2,8,2,9,4,16,1,9,1,11,1,9,3,13,1,9,1,13,2,9,1,8,1,11,1,9,1,10,1,9,1,8,1,9,1,11,1,13,1,8,1,13,1,9,1,8,1,11,1,9,1,11,1,10,1,9,1,11,1,16,1,9,2,11,3,10,1,9,1,10,1,11,1,9,1,10,2,11,1,10,1,11,1,9,1,11,2,9,2,11,1,9,1,11,2,9,3,11,1,10,1,9,1,11,1,16,1,17,1,16,1,11,1,16,1,9,1,11,1,16,1,11,2,16,2,9,1,11,1,16,4,11,2,16,1,11,1,17,1,16,1,11,1,16,6,17,18,11,1,12,1,11,1,17,1,16,1,11,1,16,1,17,1,10,2,11,2,16,2,11,1,16,1,11,1,16,5,17,3,16,1,17,1,16,1,17,11,9,1,16,1,10,1,9,2,16,1,9,2,17,1,9,1,11,1,9,2,11,1,10,1,16,1,11,2,9,2,10,1,11,2,17,2,16,1,17,22,16,2,17,5,16,1,17,1,11,2,9,2,8,1,9,1,8,1,13,1,8,1,9,1,17,3,16,3,17,3,16,1,17,1,16,2,11,1,16,1,9,1,13,1,9,4,11,1,16,8,17,1,16,1,17,1,16,15,17,1,16,5,11,1,30,2,6,2,30,3,28,1,30,2,28,1,30,3,28,1,30,2,28,1,6,1,30,1,6,1,30,1,6,2,30,1,29,1,30,1,6,1,30,1,6,1,28,1,30,11,28,1,30,1,28,1,30,9,28,1,30,1,28,1,30,4,29,1,30,4,6,1,30,5,13,1,30,1,6,1,30,6,28,1,30,1,6,1,30,3,6,2,7,1,6,1,29,1,6,1,30,3,6,1,30,6,28,1,30,4,6,1,30,2,6,1,30,1,28,2,30,3,6,2,29,1,30,1,29,1,6,1,30,8,29,1,30,7,28,1,30,2,13,2,29,1,30,4,6,1,30,3,6,1,28,1,6,1,30,1,29,1,30,4,6,1,30,2,6,2,30,1,6,1,30,1,6,2,30,1,6,1,30,2,6,1,29,1,6,1,28,1,30,1,29,1,30,1,6,1,30,3,6,2,30,1,6,1,29,1,6,1,30,1,6,2,13,1,6,1,13,1,29,1,6,1,30,4,29,1,6,1,30,1,6,3,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,2,30,2,6,1,29,1,30,2,6,1,30,1,6,1,30,2,6,3,30,4,6,1,30,1,6,3,29,1,30,3,6,1,30,3,6,1,30,3,6,1,30,1,28,1,30,2,6,1,28,1,30,1,6,1,29,1,7,1,6,3,13,1,6,1,29,1,6,1,30,1,13,1,6,3,30,1,13,1,6,2,30,1,6,3,30,1,6,1,30,1,6,2,28,2,30,3,6,1,30,1,6,1,8,1,29,1,6,1,30,5,6,1,30,1,28,1,30,1,28,2,6,1,30,3,6,1,30,3,6,2,29,1,6,4,13,5,30,2,6,1,29,1,6,2,30,1,6,1,30,4,6,1,30,1,29,1,30,2,6,1,30,1,6,2,30,2,28,2,30,1,28,2,30,1,28,2,30,1,29,1,28,1,29,2,30,1,6,1,30,2,28,1,30,1,13,1,6,1,28,2,12,1,17,1,12,1,11,1,10,2,8,1,12,1,9,2,8,1,9,1,10,1,9,4,10,1,8,1,11,1,8,1,9,1,13,1,9,1,24,2,8,1,24,1,8,1,24,1,8,1,7,1,13,1,9,1,8,2,24,2,13,2,24,1,13,1,8,3,24,1,8,2,13,1,8,1,7,2,13,1,7,1,8,1,7,2,29,1,7,1,8,1,29,1,6,2,7,1,29,1,30,1,6,1,29,1,30,1,6,2,8,1,6,2,13,1,6,3,7,1,13,1,24,1,28,22,6,1,30,1,6,1,7,3,13,2,8,5,7,1,6,3,7,2,6,1,8,1,24,1,9,2,24,1,17,1,10,1,17,4,9,1,11,1,9,1,10,1,9,1,10,1,9,1,12,1,9,5,8,1,11,2,8,1,13,1,9,1,8,1,9,2,8,1,12,1,8,1,11,1,9,2,10,1,11,1,8,1,10,1,9,2,8,1,24,2,8,3,13,2,6,1,8,1,13,3,10,1,9,1,8,2,13,3,8,1,13,1,7,1,8,1,13,1,7,1,6,1,7,1,6,1,13,4,24,1,13,1,8,1,13,1,24,1,13,1,9,1,24,1,9,1,8,1,24,1,8,1,13,2,8,2,13,1,8,1,13,1,24,1,8,1,13,2,8,1,12,1,10,1,12,1,17,1,10,1,17,2,9,1,17,2,12,1,10,1,12,1,8,1,10,1,9,1,6,1,9,1,24,1,13,2,10,1,13,1,8,1,24,1,9,1,24,1,17,1,10,1,12,1,10,1,12,1,10,1,17,3,10,1,9,1,10,2,9,1,24,1,17,1,10,2,24,1,12,1,13,1,8,2,24,1,8,1,6,1,7,1,6,1,8,1,28,1,24,1,29,1,6,1,8,1,25,3,6,1,26,1,25,1,26,1,25,2,29,1,24,1,29,1,6,1,25,1,7,2,8,1,6,2,7,1,8,1,6,1,24,1,13,1,10,1,8,1,10,1,12,1,24,1,17,1,12,2,9,1,10,1,9,1,17,1,9,1,10,1,17,1,12,1,10,1,12,1,8,1,10,1,8,3,10,1,24,3,10,1,8,1,13,1,8,1,7,1,6,1,13,1,6,3,7,3,13,1,7,3,13,1,7,2,13,1,6,2,8,1,13,1,8,1,9,1,13,1,9,1,7,1,13,12,8,1,13,2,8,3,9,1,10,1,8,2,9,1,10,1,17,1,12,1,8,1,11,1,8,1,11,1,9,2,11,2,17,3,11,1,8,1,9,1,11,1,17,1,10,1,8,1,11,1,12,1,13,3,9,2,8,1,9,4,11,1,17,8,16,1,17,2,11,1,16,3,17,1,16,2,17,12,12,1,17,4,12,1,11,1,17,2,11,2,12,1,9,1,12,1,11,1,9,1,10,2,8,1,13,2,7,1,13,3,8,1,7,1,8,1,13,1,8,1,9,1,12,1,9,1,12,1,11,1,10,1,12,3,17,1,12,1,11,2,12,3,24,1,10,1,9,1,10,1,9,3,13,1,11,1,7,1,9,1,13,1,8,1,13,1,9,3,8,1,9,3,10,1,8,1,10,1,8,2,13,1,8,1,9,1,8,1,10,1,9,2,24,2,8,1,9,2,8,1,7,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,10,1,8,1,7,1,8,2,13,2,9,1,29,1,13,2,30,4,28,1,6,1,28,3,6,1,28,1,6,1,30,1,6,2,13,1,9,2,8,1,13,2,10,1,8,4,13,1,24,1,8,1,24,1,9,1,24,1,8,1,6,1,13,1,6,1,8,1,6,1,8,1,9,1,13,1,11,1,16,1,9,1,11,2,9,1,11,3,9,1,13,1,9,5,13,1,9,1,8,1,11,4,9,1,11,1,9,1,10,1,11,1,9,3,13,1,9,4,13,1,9,7,8,1,9,5,10,1,11,2,9,1,17,1,11,3,16,1,11,1,9,2,10,1,11,1,9,3,11,1,9,2,11,1,13,1,9,1,10,1,9,7,8,1,9,1,13,1,9,4,11,1,9,3,11,1,9,1,11,1,9,4,11,1,13,1,9,1,11,1,13,1,11,1,9,1,11,1,9,3,13,1,9,2,11,1,9,1,11,2,9,2,11,2,9,2,11,2,9,1,16,1,11,1,16,1,11,4,16,5,11,2,16,1,29,1,28,14,8,1,24,1,10,1,9,2,8,1,13,1,8,1,29,1,6,1,30,1,13,1,29,1,6,1,29,1,30,2,6,1,30,1,6,1,28,1,6,1,8,1,10,1,17,1,9,1,8,2,9,1,13,1,28,7,8,2,29,1,7,1,30,1,28,35,7,1,10,1,13,1,6,1,30,1,29,1,13,3,6,1,7,1,13,1,6,1,13,2,8,1,16,1,14,2,17,6,16,1,17,2,12,1,17,5,24,1,12,2,17,1,9,1,17,2,10,1,17,1,9,1,11,1,8,1,17,1,9,3,24,1,9,1,8,1,13,2,24,2,8,1,9,1,13,1,12,1,8,1,10,1,13,1,9,1,10,1,12,1,24,2,13,1,12,1,11,1,10,1,24,1,13,1,6,1,13,1,9,1,8,1,17,3,10,1,24,1,8,2,7,1,24,2,17,2,12,1,8,1,28,1,29,1,13,1,6,1,8,1,11,1,17,1,24,1,6,1,8,1,15,1,8,1,12,1,24,1,}, {8,1,9,1,8,1,9,1,13,1,9,3,12,1,17,1,15,1,17,1,24,1,7,1,8,1,24,1,13,1,9,1,13,1,10,1,17,5,9,1,8,1,24,1,9,1,12,1,9,1,8,1,6,1,24,1,9,1,24,3,10,2,15,1,10,1,8,1,9,1,8,1,24,1,9,1,10,1,13,1,8,1,13,1,7,1,9,1,8,1,13,1,8,1,24,2,8,2,9,2,24,1,9,1,8,1,9,1,24,1,9,1,15,1,12,1,14,1,17,3,14,1,16,1,14,1,15,1,14,1,9,1,12,1,9,1,15,1,14,1,17,1,14,1,9,2,15,1,12,1,17,1,10,1,17,17,16,1,17,50,11,1,9,1,6,3,8,1,17,2,16,1,12,1,11,1,9,5,8,1,9,1,11,1,17,1,12,1,17,2,10,1,9,1,8,2,24,2,7,1,28,35,29,3,24,1,14,1,6,1,28,1,7,1,29,2,9,1,11,1,17,1,11,1,12,1,9,1,17,1,12,1,9,2,13,2,8,1,7,1,13,1,6,1,13,1,7,1,13,1,8,1,10,2,24,1,13,1,8,1,13,1,9,2,12,1,17,4,6,1,28,1,30,1,28,3,30,4,6,2,28,2,30,1,11,1,17,2,16,1,17,58,11,3,10,1,8,1,9,1,13,3,8,1,13,1,8,1,13,2,9,1,13,3,9,2,13,1,9,1,13,1,9,1,13,1,9,4,11,1,8,1,9,1,11,1,8,1,10,1,8,2,13,1,8,1,13,1,8,1,9,1,8,1,7,1,8,1,13,3,8,2,13,1,9,1,8,1,13,1,8,1,13,1,9,1,13,2,7,1,6,1,13,1,7,2,13,8,6,1,13,1,6,1,7,1,6,1,8,1,6,1,8,1,13,2,9,1,11,1,8,1,13,1,9,8,6,1,13,2,9,1,11,1,9,1,6,1,7,1,29,1,6,2,30,1,6,2,13,1,6,1,7,1,6,2,8,1,6,1,13,1,7,1,8,1,7,1,13,1,7,1,13,1,6,1,13,1,7,1,13,5,8,1,7,1,29,1,13,1,30,1,29,1,13,3,6,1,8,1,6,1,8,1,13,4,6,1,29,1,30,1,28,1,6,1,16,1,17,47,16,1,17,20,16,1,17,6,16,3,17,2,16,1,17,1,16,6,17,1,16,1,17,1,16,7,17,1,16,1,17,1,16,1,17,2,11,1,17,3,12,3,17,1,9,1,12,1,10,1,11,1,9,1,12,1,10,1,17,1,8,1,24,1,6,1,13,4,7,1,6,1,29,1,6,2,29,1,30,1,6,2,7,1,6,1,29,1,6,3,29,2,7,1,30,2,6,1,30,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,6,2,7,1,28,1,13,2,7,1,17,1,16,1,17,4,16,7,11,1,16,3,17,1,16,4,11,1,16,1,11,1,16,14,17,2,16,2,17,1,16,1,17,1,16,1,17,5,16,1,17,4,16,1,17,1,16,4,9,10,16,1,9,5,8,1,9,2,8,1,9,3,11,1,9,2,11,1,9,2,13,1,9,1,11,1,9,5,16,1,13,1,8,1,10,2,9,1,11,1,8,1,10,1,8,1,13,2,9,1,8,1,13,2,9,2,13,1,9,1,13,1,9,1,8,1,9,6,8,1,9,1,13,1,10,1,9,1,8,1,9,3,11,1,9,1,13,1,11,1,8,1,13,1,9,3,11,1,9,1,11,2,9,1,16,1,9,1,7,1,13,1,8,1,9,1,13,3,9,1,8,1,11,2,9,3,11,2,10,1,9,1,11,2,10,1,9,1,10,1,9,1,11,1,13,1,9,1,10,1,9,1,8,1,11,3,9,4,8,1,9,4,11,1,16,2,11,2,9,1,16,1,17,1,11,2,16,2,9,1,16,2,9,1,16,2,17,2,16,1,11,1,16,6,11,1,16,5,17,15,11,1,17,3,11,1,17,2,11,1,16,1,17,1,10,1,9,1,11,2,9,2,10,1,11,1,16,2,11,1,17,1,16,1,17,2,11,2,9,1,16,1,17,12,11,1,16,1,11,1,10,1,11,1,9,1,11,2,9,2,12,1,11,1,9,1,16,1,9,1,16,1,8,1,9,1,11,1,16,1,9,1,16,2,11,1,17,28,16,2,17,4,16,1,11,2,9,2,8,2,24,1,9,2,10,1,17,1,16,1,17,2,16,2,17,6,9,4,13,1,9,4,13,1,11,1,16,4,17,2,16,7,17,1,16,1,17,1,16,8,17,1,16,1,17,1,16,2,9,1,16,1,13,1,28,1,6,1,30,5,28,2,30,3,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,7,28,1,6,1,30,4,28,1,30,1,28,1,30,1,28,1,30,4,6,1,30,3,28,1,30,1,28,3,30,6,6,1,30,1,6,1,30,3,6,1,30,2,6,1,30,6,6,1,30,3,6,1,30,1,28,1,6,1,30,1,29,1,30,2,6,1,28,1,13,1,6,3,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,3,6,2,28,1,29,1,30,1,28,1,6,1,30,2,6,1,28,1,30,3,28,1,30,4,28,2,30,1,28,3,13,2,30,1,29,1,28,1,6,1,28,1,29,1,30,2,9,1,11,1,30,5,6,1,30,3,6,1,30,1,6,1,30,1,6,2,13,1,30,1,7,1,13,2,28,1,6,4,30,1,6,1,30,1,6,1,30,1,6,1,30,3,6,2,30,1,6,1,30,1,13,1,6,1,30,1,6,6,30,1,6,1,30,1,29,1,30,10,28,1,30,2,28,1,30,2,28,1,30,4,28,1,6,1,30,9,28,1,30,1,29,1,28,1,30,2,6,1,29,1,30,3,29,1,30,1,6,1,28,1,30,2,29,1,30,1,28,1,30,3,6,1,30,4,29,1,6,2,30,1,6,1,30,2,28,1,29,1,6,1,30,1,6,4,29,1,13,1,7,1,6,1,30,1,6,3,28,1,6,1,28,1,13,1,6,1,30,1,6,5,13,1,30,1,6,1,7,1,6,1,30,1,6,1,30,3,7,1,30,1,28,1,13,2,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,2,28,1,30,4,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,6,2,30,1,6,1,13,1,6,1,13,1,9,2,6,1,30,4,29,1,30,4,6,1,29,1,6,2,30,1,6,1,30,2,6,1,30,1,6,7,13,1,6,5,30,1,6,1,13,1,30,3,6,1,29,2,6,1,30,1,28,3,17,2,11,1,17,1,10,1,12,1,11,1,10,1,9,1,11,1,8,1,9,2,24,1,8,1,24,1,8,2,24,1,12,1,9,3,8,2,10,1,8,1,13,1,7,1,13,1,8,9,13,1,24,1,13,1,9,1,7,1,8,1,13,1,24,1,13,1,24,1,7,1,8,1,13,1,30,1,6,2,7,2,6,2,8,1,6,1,7,1,6,1,30,1,6,2,30,1,7,1,6,1,7,1,29,1,7,1,13,1,7,1,6,1,8,1,7,2,13,1,6,1,28,23,7,1,30,1,6,3,29,1,13,1,7,3,8,2,7,1,8,1,29,1,7,1,30,1,7,1,29,1,30,1,8,3,10,1,11,1,12,1,17,4,10,2,9,1,11,2,9,1,12,1,9,1,12,1,10,1,9,3,8,1,24,1,9,2,8,1,9,1,8,2,11,1,24,1,11,1,9,3,11,1,9,1,12,1,11,2,24,1,8,1,9,1,24,1,8,2,24,1,13,1,24,1,13,1,24,1,9,1,13,1,24,1,13,1,24,2,9,3,13,1,8,1,9,1,7,1,8,1,13,2,6,1,13,6,8,1,13,1,8,1,13,1,8,3,9,1,8,2,9,1,24,1,13,2,10,1,13,2,6,1,8,1,13,1,8,2,10,1,12,1,9,1,24,1,10,1,11,1,17,1,12,1,17,1,12,4,17,1,10,3,12,1,8,1,24,1,13,1,24,1,8,3,24,1,12,1,13,1,12,1,24,1,12,1,9,2,17,1,24,1,12,1,9,2,10,1,17,1,10,1,17,1,24,1,10,1,12,1,17,1,10,1,12,1,24,1,9,1,10,3,7,1,8,2,25,1,8,1,27,1,25,1,27,1,25,1,26,1,8,1,27,1,25,1,26,3,8,2,29,1,8,1,6,1,7,1,13,1,8,1,30,2,8,1,25,3,7,1,8,2,13,1,8,1,24,1,8,1,24,1,10,2,24,1,12,2,10,1,17,1,12,1,24,1,12,2,24,1,9,1,10,1,13,1,9,1,24,2,13,1,24,1,8,2,24,1,10,2,13,1,24,1,10,1,13,1,24,1,7,2,28,1,6,1,7,2,13,1,7,2,29,1,30,1,6,1,8,1,7,2,6,1,13,1,6,2,8,2,13,1,7,1,8,1,13,2,8,4,13,1,9,1,13,1,8,1,9,1,13,2,8,2,13,1,9,1,6,1,10,1,8,1,13,1,10,1,13,1,8,1,12,1,10,1,12,1,11,1,24,1,9,1,13,1,12,1,9,1,17,1,9,1,17,3,11,1,17,1,11,1,9,2,17,1,11,1,17,2,11,2,9,4,13,1,10,1,9,2,11,1,17,1,11,1,17,11,11,1,16,1,17,9,11,1,12,1,17,4,12,1,17,1,11,1,17,1,10,1,17,2,11,1,12,1,17,1,12,1,11,1,12,1,10,1,9,1,11,1,8,1,13,1,24,1,13,1,7,2,13,1,7,1,13,1,7,1,9,1,13,1,9,1,11,2,9,2,17,1,10,1,12,3,9,1,17,1,11,1,12,1,9,1,12,2,10,1,9,1,24,2,10,1,13,1,9,1,8,1,7,1,8,1,6,1,13,1,8,1,13,1,7,1,13,1,8,1,9,2,10,2,13,1,10,1,9,2,13,1,9,1,10,1,9,1,8,1,10,1,24,1,8,1,10,2,24,1,9,2,24,1,13,1,9,1,8,2,9,1,13,1,9,2,10,1,24,1,8,1,10,1,24,1,8,1,24,1,9,1,8,1,13,1,28,1,30,1,28,1,29,1,30,1,28,1,30,2,28,1,6,3,28,1,30,1,6,1,7,1,13,1,9,1,13,4,8,1,13,1,9,2,13,2,7,1,13,1,7,1,13,1,8,1,9,2,13,2,6,2,13,2,9,2,13,1,9,1,11,1,9,1,8,1,11,2,16,1,11,3,10,1,11,1,9,2,13,3,9,1,8,1,13,2,9,1,10,1,11,1,9,3,13,1,9,1,13,1,9,2,13,2,11,1,9,2,13,1,9,1,11,2,9,2,11,2,9,5,11,3,16,1,9,1,11,1,16,1,11,1,9,1,11,3,9,3,11,1,8,1,11,1,9,2,11,1,9,3,11,2,9,1,13,1,9,2,13,1,9,3,13,1,8,1,9,9,11,3,9,1,11,2,9,1,11,1,13,1,9,8,11,2,9,1,11,1,9,1,13,1,16,1,9,2,11,2,16,1,11,3,16,1,11,1,16,1,9,1,11,1,16,7,11,2,28,15,8,1,9,2,10,2,9,1,7,1,13,1,6,1,29,1,7,1,6,1,30,1,13,1,29,1,7,1,28,1,13,1,28,1,7,1,30,1,8,1,9,1,10,1,9,1,11,1,8,1,12,1,13,1,30,1,28,6,30,1,7,1,13,1,7,1,30,1,29,1,30,1,28,34,8,1,9,1,13,1,30,2,29,1,7,1,8,1,24,1,13,1,6,1,13,1,6,1,13,2,28,1,8,1,14,2,17,6,10,1,17,2,16,1,17,4,11,2,8,1,11,1,12,1,17,1,10,1,17,2,12,1,10,1,9,1,12,1,17,1,9,1,8,1,9,2,24,1,9,1,24,1,8,1,13,1,24,1,9,2,24,1,9,1,13,1,8,1,24,1,9,2,8,1,24,2,10,1,13,1,17,2,15,1,13,2,6,1,13,1,24,1,17,2,24,2,9,1,6,1,13,1,8,1,10,1,9,1,17,1,12,1,13,2,30,1,6,1,7,2,24,1,10,1,11,1,6,2,8,1,9,1,13,1,24,1,12,1,}, {7,1,8,1,24,1,8,1,9,1,17,1,8,1,9,1,17,3,15,1,8,1,24,2,8,2,13,1,9,3,17,2,16,1,10,1,9,1,13,1,8,1,10,1,8,1,9,1,7,1,13,1,12,1,13,1,9,2,8,1,15,1,9,1,24,1,8,1,13,2,8,2,24,2,8,5,24,1,8,1,24,1,11,1,13,1,14,1,10,1,8,1,12,1,10,1,8,1,24,1,9,1,8,1,15,1,17,6,14,1,17,1,14,1,10,1,9,1,15,3,14,1,17,2,14,1,16,1,11,1,12,2,17,1,11,1,17,2,12,1,17,13,16,3,17,44,16,1,17,2,10,1,9,1,7,1,6,1,29,1,30,1,7,1,6,1,17,1,9,1,10,1,9,1,12,1,10,1,8,1,9,1,8,1,24,1,8,1,12,1,11,1,17,4,9,2,8,4,30,1,28,26,29,1,28,7,29,1,28,1,30,1,28,1,12,1,14,1,29,2,28,1,29,1,6,2,11,1,17,2,11,1,17,1,16,1,17,2,8,1,13,6,6,1,8,2,15,1,8,1,13,1,8,1,13,1,8,1,24,2,17,2,12,1,17,3,13,1,28,6,6,1,30,1,6,2,30,1,28,3,10,1,17,1,16,4,17,20,16,2,17,5,16,1,17,17,16,1,11,2,10,1,9,1,16,2,11,1,13,2,8,1,13,5,7,1,13,1,8,2,13,1,8,1,9,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,8,1,9,1,8,2,9,5,13,1,8,3,9,1,13,1,9,1,8,4,13,2,8,1,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,2,8,1,9,1,13,1,9,1,8,1,13,3,8,1,6,1,8,2,13,1,7,1,13,3,7,1,13,4,8,1,13,1,8,2,6,1,7,1,9,1,8,1,9,4,8,1,11,1,10,1,8,1,6,1,13,1,8,1,13,1,9,1,8,2,13,1,6,1,7,2,13,1,6,2,7,1,13,2,6,1,7,1,29,1,13,1,7,1,13,1,6,1,8,1,28,1,24,1,6,1,13,1,6,2,7,2,13,2,8,1,7,1,13,1,8,1,6,1,7,1,13,1,6,2,13,2,7,1,13,1,8,1,6,1,13,4,30,1,28,2,6,1,11,1,17,42,16,1,17,6,16,1,17,22,16,7,17,2,16,2,17,3,16,1,17,1,16,10,17,4,16,2,17,4,11,1,17,4,11,2,9,1,12,1,8,1,9,2,7,1,10,1,8,1,13,1,9,2,13,1,6,5,8,1,6,4,13,1,6,1,29,1,6,2,29,1,6,1,30,1,29,1,7,1,6,1,30,2,29,2,6,3,7,1,6,1,28,1,8,1,6,2,7,1,13,2,11,1,17,5,16,10,17,1,16,7,11,1,16,2,17,1,16,1,11,1,16,2,17,1,16,3,17,1,16,1,17,3,16,1,17,1,16,2,17,2,16,1,17,6,16,1,17,1,16,2,11,1,16,1,11,1,10,1,9,2,8,1,9,2,11,1,9,2,10,2,9,2,11,1,9,3,11,1,9,2,13,1,11,1,13,1,9,2,11,1,10,1,9,3,10,1,9,4,10,1,8,1,9,5,10,1,9,2,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,9,2,7,1,8,1,9,2,13,2,9,2,13,1,9,1,8,2,10,1,13,1,9,3,8,1,9,2,8,1,9,4,13,1,8,1,9,3,11,1,10,1,9,2,13,1,9,1,13,3,9,1,13,1,8,2,9,2,10,1,9,2,10,1,11,1,10,1,11,1,9,11,13,1,11,2,9,2,10,1,8,1,11,2,9,3,10,2,16,2,11,3,16,1,11,3,16,2,11,4,9,2,16,8,17,1,16,3,11,1,16,3,17,11,16,2,12,1,17,1,16,1,9,1,16,1,17,1,11,1,16,1,11,2,12,1,11,1,10,1,9,1,8,1,11,1,9,1,16,1,11,1,16,1,11,2,16,1,11,1,16,2,17,1,9,1,16,2,17,5,16,2,17,6,16,1,12,1,16,1,8,1,11,4,9,1,16,1,9,1,10,1,12,1,11,1,10,1,12,1,11,1,16,1,9,1,10,1,16,1,10,1,16,2,11,1,17,25,16,3,17,7,16,4,9,2,24,1,10,1,13,1,9,2,16,1,17,2,16,1,11,1,17,1,16,1,17,4,16,4,9,1,13,1,11,1,9,1,13,1,9,2,13,1,9,1,16,2,11,1,16,6,17,1,16,18,11,1,9,1,16,1,30,10,28,1,30,2,28,3,30,2,28,1,29,1,30,1,29,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,6,1,28,1,6,1,30,1,28,1,6,1,30,8,28,3,29,1,28,1,30,1,28,1,30,2,28,1,30,3,28,1,29,1,30,1,28,1,30,3,28,1,30,2,28,1,6,1,30,2,7,1,6,1,30,1,6,2,30,2,6,2,28,1,30,1,6,1,29,2,6,1,13,2,6,1,28,1,29,1,30,2,6,2,30,7,28,1,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,6,1,28,1,30,4,29,1,28,1,30,6,28,1,30,2,28,3,30,1,28,2,6,1,13,1,28,2,30,2,6,1,30,1,28,1,30,1,7,1,30,1,28,1,29,2,30,1,29,1,30,3,6,3,13,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,7,1,13,2,6,2,30,3,6,3,30,3,29,1,6,2,29,1,13,1,28,1,6,3,7,1,30,1,6,1,30,1,6,1,7,1,30,1,29,2,30,2,6,1,30,1,7,1,30,5,28,1,30,1,28,2,30,4,28,1,30,3,28,1,30,6,28,1,30,4,28,1,30,2,6,1,30,6,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,6,6,1,29,2,30,2,28,1,6,3,30,3,6,2,30,2,6,2,29,1,6,2,30,1,6,2,7,1,6,1,7,1,6,2,30,2,13,1,6,1,30,1,6,3,13,1,6,2,13,1,30,2,6,1,29,1,30,2,6,1,30,1,6,3,30,1,7,1,30,1,29,1,6,1,30,1,6,2,30,3,29,1,6,1,30,1,6,1,30,5,6,1,13,1,6,1,13,1,6,1,7,3,13,1,9,1,13,1,30,1,6,1,30,3,6,5,13,2,6,5,29,1,30,1,6,2,30,2,7,1,6,3,13,4,6,1,13,2,7,1,6,1,7,1,6,4,13,1,6,2,7,1,28,1,13,1,17,1,16,1,11,2,10,1,11,2,10,1,8,2,9,1,10,2,24,1,8,2,9,1,10,1,9,1,13,1,8,1,10,1,12,1,9,1,7,1,10,1,7,1,8,2,13,1,8,3,13,1,24,1,8,2,7,1,13,1,8,2,13,1,8,1,24,1,13,1,24,1,13,1,24,1,7,2,30,1,13,2,7,1,13,1,6,1,13,1,6,1,13,1,6,1,30,1,6,1,29,3,7,1,6,1,13,1,6,1,7,1,6,1,7,2,6,2,13,1,29,1,13,1,6,1,28,23,29,1,28,1,30,1,6,3,7,1,13,1,6,2,24,1,6,1,13,1,7,1,6,2,7,1,28,1,29,1,6,1,29,1,8,1,13,1,8,1,12,2,11,1,17,4,12,1,11,1,9,1,10,1,9,1,11,1,9,2,10,1,11,1,13,1,9,4,8,2,9,1,11,1,9,1,10,1,24,1,9,7,24,1,9,2,24,1,9,1,24,1,8,1,24,2,13,1,8,1,13,1,24,1,8,4,13,1,9,1,8,1,11,1,24,1,8,2,24,1,13,1,8,2,7,2,13,1,7,1,13,1,6,1,13,4,24,1,13,2,24,1,13,3,24,1,13,1,24,1,13,5,8,1,7,1,13,2,24,1,9,2,24,1,12,1,10,1,9,1,10,1,17,1,12,1,17,1,12,2,17,1,12,2,24,1,10,1,12,1,10,1,8,1,10,1,8,1,7,1,8,3,10,1,9,1,24,2,8,1,24,1,10,2,12,2,9,1,10,1,9,1,17,1,12,4,24,1,17,1,12,2,17,3,10,1,24,1,10,1,13,1,6,1,25,1,7,2,26,1,29,1,25,1,6,1,25,1,27,2,25,1,27,1,25,1,6,1,25,1,26,1,6,1,29,1,7,1,13,2,7,1,30,1,6,1,7,3,24,1,25,1,6,1,7,2,8,1,10,1,7,1,8,3,24,1,10,2,24,1,12,1,9,1,12,2,10,1,8,1,24,2,13,1,6,1,8,4,24,1,25,1,24,1,25,1,24,1,8,1,25,1,8,4,24,2,6,1,7,2,6,1,7,1,30,1,6,1,7,1,28,1,6,2,13,1,29,1,7,2,6,1,7,2,8,2,10,1,8,2,24,1,8,2,6,1,8,1,9,1,13,3,24,1,8,2,7,1,8,1,10,1,8,3,10,1,8,1,12,1,10,1,12,2,11,1,17,1,24,1,9,1,17,1,11,1,17,1,10,1,11,1,17,1,10,1,12,1,17,3,11,1,12,1,17,1,11,1,9,1,17,2,16,1,12,2,9,1,11,1,9,1,13,1,8,1,11,1,17,8,11,1,17,5,11,1,17,5,16,1,17,3,12,1,17,1,12,1,17,4,12,1,17,1,12,1,17,1,11,1,12,4,11,1,10,1,17,1,10,1,9,1,11,1,9,1,8,1,13,1,7,1,13,1,7,2,6,1,13,1,9,1,8,2,24,1,12,1,9,1,12,1,9,1,11,1,12,3,17,1,11,1,12,4,9,1,10,2,8,1,9,1,13,1,8,3,7,1,13,2,29,1,13,1,6,1,13,2,8,1,9,1,13,2,10,1,11,1,9,5,8,1,9,2,13,1,8,1,9,1,8,1,10,1,24,1,10,1,11,1,8,1,11,1,10,1,9,1,24,1,8,2,10,1,9,1,13,1,9,1,8,2,24,2,9,1,13,1,8,1,13,2,6,2,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,7,1,13,1,9,4,10,1,13,5,8,3,13,4,8,1,13,1,9,1,8,1,10,1,24,1,13,6,9,1,11,1,9,1,8,1,13,1,11,2,9,1,11,2,9,1,16,1,9,1,10,1,9,1,11,1,9,1,10,1,11,1,13,1,9,2,10,1,11,1,16,2,9,6,13,1,8,1,9,5,11,1,9,1,13,1,9,1,8,1,11,1,9,1,11,1,10,1,11,3,9,1,11,2,9,1,11,1,16,3,11,1,9,4,8,1,11,2,10,1,9,1,8,1,9,8,13,1,11,1,9,1,16,1,11,2,9,7,8,4,9,1,11,2,9,2,16,1,8,1,9,11,11,1,16,1,11,1,9,1,11,2,9,2,10,1,9,1,11,2,16,1,11,1,16,1,11,1,16,5,9,1,17,1,16,4,11,1,16,2,28,15,8,1,11,1,9,1,11,1,9,2,8,1,6,2,28,1,6,2,7,1,6,1,28,1,6,1,30,1,28,3,6,1,8,3,12,1,24,1,13,1,8,2,6,1,28,6,29,1,13,1,7,1,6,2,29,1,28,35,13,1,8,1,13,1,6,2,30,1,8,1,9,1,10,1,13,1,8,1,13,1,29,1,6,1,13,4,10,1,14,1,17,6,16,1,12,1,10,1,17,4,11,2,10,1,12,1,10,1,17,1,11,1,17,2,10,2,9,1,10,1,11,1,9,1,12,1,9,2,8,1,13,1,12,1,9,1,13,1,9,1,8,1,24,1,13,1,15,1,9,1,24,1,9,1,12,1,9,2,24,1,8,1,24,2,10,1,17,1,24,1,13,1,8,1,13,2,8,1,17,1,10,1,24,2,13,1,8,1,6,1,9,1,24,1,12,1,10,1,15,2,6,2,8,1,6,1,8,1,24,1,10,1,9,1,13,1,24,1,13,1,24,1,8,1,9,1,8,1,}, {9,1,8,4,9,1,24,1,17,2,15,1,17,1,15,1,9,1,13,1,9,1,13,1,24,2,6,1,24,1,9,1,17,3,10,1,8,1,7,1,24,2,10,1,24,1,8,2,15,1,12,1,13,1,9,4,10,1,9,1,24,2,9,1,8,1,24,1,13,1,24,1,13,1,24,1,9,2,24,1,10,1,24,1,9,1,10,1,8,1,9,1,15,1,10,1,11,1,24,1,12,1,8,1,14,1,15,1,12,1,17,6,14,1,16,1,11,1,10,1,15,2,14,3,17,2,12,3,9,1,17,2,9,1,11,2,17,2,11,1,17,10,12,1,17,45,9,3,10,1,12,1,6,1,30,1,6,2,7,2,30,1,12,1,10,1,12,1,10,1,17,1,24,1,13,1,24,1,13,1,9,1,8,2,9,1,17,1,10,1,17,3,24,1,13,1,6,1,8,1,13,1,6,1,28,33,30,1,6,1,30,1,6,1,28,1,8,1,14,1,13,1,28,1,30,2,13,2,9,1,17,1,12,1,10,1,12,1,9,1,17,1,13,1,8,2,13,3,7,1,24,2,10,1,17,1,10,1,13,4,8,1,13,1,10,1,17,2,16,2,17,1,10,1,13,1,28,3,30,1,28,2,29,1,30,1,29,1,6,1,13,1,28,3,11,1,17,2,16,1,17,9,16,1,17,11,16,3,11,1,9,1,16,1,17,9,16,2,11,1,16,1,9,1,11,1,8,1,13,1,9,3,8,1,13,1,9,3,13,2,9,1,13,3,6,2,13,2,8,1,13,1,7,1,13,2,8,1,13,2,6,1,8,1,13,2,8,1,13,2,8,3,9,2,8,1,9,1,8,1,9,1,8,3,9,1,8,1,13,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,7,1,8,2,13,1,8,1,13,4,6,1,9,1,13,3,9,1,13,2,8,1,9,1,13,5,8,2,30,1,13,2,6,1,13,4,24,1,7,1,13,2,9,4,8,2,9,1,10,1,9,1,11,1,9,1,11,1,13,4,9,1,11,1,9,1,13,1,7,1,29,1,8,1,6,1,29,1,8,1,6,1,8,1,6,3,13,1,6,1,8,1,6,3,13,1,29,1,24,1,7,1,13,1,8,1,7,1,13,1,29,1,13,5,9,1,6,1,29,1,13,2,6,1,13,3,8,1,13,1,7,1,6,1,13,2,6,1,30,2,28,1,6,1,16,1,17,22,16,1,17,17,16,1,17,6,16,1,17,1,16,1,17,2,16,1,17,6,16,6,17,1,16,4,17,2,16,5,17,1,16,4,11,1,16,2,17,1,16,10,17,1,16,2,17,1,16,3,17,7,10,1,17,2,11,2,12,2,10,1,9,1,24,1,8,1,24,1,9,1,13,1,29,1,9,1,8,1,29,1,30,1,13,1,7,1,6,2,30,1,6,1,29,1,6,1,30,1,13,1,29,1,30,1,7,1,29,2,28,1,30,1,28,1,7,1,28,1,13,1,7,1,29,1,30,1,7,2,6,1,13,1,8,1,13,3,8,1,13,1,8,1,11,1,17,5,16,7,11,1,16,3,17,3,16,3,17,2,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,1,17,3,11,1,17,1,16,3,17,1,16,3,17,1,16,1,17,1,16,2,11,1,16,1,9,1,16,2,11,4,9,1,11,1,9,2,11,1,9,5,8,1,16,1,9,2,11,1,8,1,9,2,13,1,9,3,11,2,8,1,13,1,9,5,13,1,9,2,13,1,9,3,11,1,9,1,10,1,9,1,8,1,9,1,13,1,9,3,13,1,9,1,11,1,13,4,9,1,13,1,9,2,13,1,9,2,8,1,9,1,8,1,9,1,13,2,9,3,8,1,9,2,11,2,9,1,10,1,13,1,8,2,11,1,9,3,11,1,9,1,13,1,9,1,13,1,6,2,13,1,6,2,13,1,9,2,13,2,11,1,9,1,10,1,13,1,9,1,16,1,9,1,10,1,9,1,11,1,9,2,11,1,9,3,8,1,9,1,8,1,10,1,9,1,8,1,9,1,11,1,9,2,13,2,9,2,11,1,9,1,11,1,17,1,9,2,11,1,9,4,16,1,9,2,11,1,9,2,16,4,17,2,16,4,17,2,16,4,17,14,16,1,11,1,16,1,12,1,10,1,12,1,9,1,17,1,11,1,17,1,9,1,11,2,16,1,11,3,9,1,11,3,16,2,17,1,11,2,16,1,17,1,16,1,17,13,16,1,12,1,11,1,9,1,11,1,16,1,8,1,16,2,10,1,9,1,11,1,9,1,16,1,11,1,12,1,16,1,17,1,16,1,11,1,12,1,16,2,11,1,17,1,16,1,17,33,16,1,17,1,16,1,17,1,16,1,17,2,10,1,11,1,9,3,8,1,9,1,10,1,17,2,16,9,17,1,16,3,11,1,13,1,9,5,13,1,9,2,11,1,16,8,17,1,16,12,17,1,16,1,17,1,16,2,9,3,30,2,6,1,30,5,28,1,30,2,6,1,30,1,28,5,6,1,30,5,28,1,30,1,28,1,6,1,28,1,30,2,28,1,29,1,30,2,6,2,29,1,30,1,28,2,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,4,6,1,30,1,28,3,29,1,28,1,30,1,6,1,30,1,6,1,30,2,6,1,28,1,6,1,30,2,6,1,30,2,29,1,30,1,6,1,30,1,7,1,13,1,6,2,13,1,8,1,7,1,30,2,13,1,30,1,28,1,30,3,28,1,30,2,6,2,30,2,6,1,30,1,6,1,28,1,30,3,6,1,30,1,28,1,30,1,28,1,13,1,6,1,30,1,6,1,28,2,30,3,28,1,30,3,28,1,30,3,28,1,30,2,28,1,30,4,6,1,30,1,28,1,13,1,7,1,30,3,28,1,30,1,28,3,30,5,29,1,30,1,6,1,30,1,6,2,29,2,13,4,7,1,13,2,6,1,13,1,30,1,13,1,6,1,28,1,13,1,30,2,6,3,28,1,6,3,30,1,6,2,30,1,29,1,13,1,30,1,6,1,13,1,6,2,29,1,6,3,28,1,7,1,30,1,28,1,30,4,28,1,30,3,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,4,28,1,30,1,29,1,28,1,30,2,28,1,30,3,6,1,30,3,28,2,30,3,28,1,30,5,28,3,30,5,6,1,30,1,6,1,30,2,29,1,30,1,6,1,30,1,6,1,29,1,30,3,6,2,30,1,6,6,30,1,6,3,13,1,30,1,13,1,6,2,13,1,30,1,7,1,30,1,6,1,13,1,6,1,7,1,6,1,13,1,29,1,6,1,30,1,6,1,28,1,29,2,30,2,6,2,30,1,6,1,29,1,30,2,7,1,6,2,30,2,28,1,30,2,29,1,30,4,29,1,28,1,30,1,13,1,7,2,6,1,13,1,6,2,13,1,8,1,9,1,13,1,28,1,30,1,6,1,30,3,6,1,13,1,30,1,13,1,30,1,7,1,6,3,13,1,6,1,30,1,6,3,29,1,30,1,29,1,6,2,7,1,6,1,13,1,6,2,7,1,29,1,6,4,30,1,13,1,30,1,6,3,30,1,13,1,6,1,28,1,17,1,16,1,11,1,9,1,10,1,9,1,10,2,11,1,9,3,10,1,8,1,24,1,9,1,8,1,9,1,8,1,24,1,8,1,24,1,9,2,13,1,24,1,8,5,7,1,13,1,8,1,13,1,8,2,24,1,8,3,24,1,8,1,24,1,10,1,13,1,10,1,7,1,6,1,7,2,13,2,6,3,29,1,6,1,7,2,13,2,30,1,29,1,30,1,29,1,6,1,7,1,6,2,13,2,6,2,30,1,7,1,6,1,7,2,28,27,30,2,29,1,7,1,13,1,24,1,7,1,13,1,24,1,7,1,24,1,7,3,30,2,7,1,6,1,13,1,7,1,10,1,17,1,9,1,12,1,17,4,12,1,11,1,10,1,9,1,10,1,9,3,10,1,9,2,11,1,8,1,9,2,11,1,9,1,11,1,13,1,8,1,9,1,11,1,8,1,12,1,9,1,24,1,11,1,8,1,10,1,9,1,10,1,9,1,12,1,11,1,9,2,24,3,8,1,9,1,8,1,24,1,8,2,9,1,13,1,9,1,13,1,8,1,11,1,13,1,9,2,8,1,24,1,13,2,6,1,13,3,7,1,13,1,24,1,7,1,8,1,24,1,7,1,8,1,13,1,9,2,24,1,9,1,7,1,13,2,8,1,13,2,7,1,10,2,8,2,13,1,12,1,10,1,24,1,12,1,8,1,10,2,17,1,12,2,9,1,24,1,12,1,24,1,12,1,17,1,24,3,10,1,24,2,8,1,24,1,8,1,24,4,10,1,24,1,10,1,12,1,8,1,24,1,17,1,12,1,10,1,12,1,24,1,10,1,17,1,12,2,10,1,12,1,17,2,12,1,9,1,12,1,17,1,8,1,7,1,24,1,25,1,8,1,27,1,29,1,27,1,6,1,30,1,25,1,27,1,29,2,25,1,29,1,25,1,28,1,6,1,26,1,25,2,6,2,30,1,6,1,8,1,13,1,29,1,6,2,8,1,25,2,8,4,7,1,13,1,17,1,10,1,24,2,17,4,10,1,24,1,8,1,24,1,13,1,8,1,24,2,13,1,24,1,7,1,8,4,24,1,6,1,8,1,24,1,8,1,24,1,25,2,24,2,25,1,8,1,24,1,30,1,6,1,7,1,6,1,7,1,6,2,29,1,6,2,29,1,8,1,7,3,6,1,8,1,13,3,9,1,13,2,8,1,13,1,8,1,13,1,8,1,13,2,8,1,6,1,13,1,24,1,13,1,8,1,7,1,13,1,8,1,13,1,8,1,12,1,10,1,24,1,12,1,24,1,10,1,17,1,12,1,17,1,11,1,12,2,11,2,10,1,17,1,9,3,12,3,17,7,11,1,9,1,8,1,9,1,13,1,17,5,10,1,17,5,12,1,17,11,11,1,12,1,11,1,12,1,17,1,12,2,17,1,12,1,17,2,11,1,12,1,11,1,12,2,11,1,12,2,10,1,11,1,10,1,9,1,13,2,29,1,13,2,6,2,7,1,13,1,9,1,8,1,11,1,9,1,12,1,9,1,10,1,17,1,12,1,11,1,10,1,17,1,11,1,10,2,24,1,10,1,24,1,8,1,24,2,8,1,13,2,6,1,29,1,13,1,9,1,29,1,13,5,9,1,8,3,10,1,11,1,8,1,13,1,9,1,10,1,9,1,8,1,9,1,12,1,8,2,9,1,13,1,8,2,9,2,8,2,11,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,10,1,8,3,13,1,9,1,24,1,10,1,8,2,13,1,30,1,28,2,30,1,28,1,30,1,6,1,30,2,6,1,13,1,9,1,10,2,9,1,8,2,9,1,13,1,8,1,13,2,6,1,7,1,8,1,13,1,8,1,13,1,9,1,7,2,8,1,13,1,8,2,9,1,8,1,24,2,9,2,8,1,13,1,9,1,8,2,13,3,7,1,9,1,11,1,10,1,16,1,9,2,11,1,10,1,9,1,16,1,9,1,16,1,10,1,11,2,10,1,9,1,16,1,10,1,11,1,9,1,11,1,16,1,9,4,8,1,9,3,11,1,9,2,13,1,9,4,8,1,9,4,11,1,16,1,11,1,16,1,11,1,16,1,11,2,10,1,11,2,16,1,9,2,11,1,9,1,11,1,9,2,11,1,9,3,13,1,9,1,11,1,9,1,13,1,9,3,8,2,9,8,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,13,1,9,5,16,1,9,1,8,1,11,1,9,1,11,1,9,1,11,3,9,1,11,3,9,2,16,3,11,1,16,2,11,2,16,1,17,1,11,1,16,2,17,1,16,1,17,1,11,1,10,1,16,1,28,15,9,1,15,1,9,1,12,1,9,1,24,1,13,1,8,1,6,2,13,1,6,1,29,1,28,1,6,1,7,1,28,1,30,3,6,1,9,1,8,1,11,1,9,1,11,1,6,1,9,1,8,1,13,1,28,7,13,1,6,2,29,2,28,35,13,2,6,1,29,2,28,1,9,1,17,1,10,1,12,1,9,1,13,2,29,1,7,1,30,1,13,1,7,1,8,1,12,1,17,3,12,1,17,1,12,1,17,1,16,1,11,1,17,4,16,1,10,1,9,1,24,1,10,1,17,4,12,1,8,1,9,1,17,1,11,3,8,1,10,1,8,2,9,2,8,3,13,1,7,1,10,1,12,1,7,1,17,1,24,4,9,1,8,1,24,1,12,2,9,1,13,1,6,2,24,1,10,1,17,1,10,1,15,1,8,1,13,2,7,1,13,1,12,1,10,1,12,1,24,2,6,1,13,1,7,2,8,1,24,1,10,1,8,1,13,1,29,1,24,1,7,1,9,1,13,1,8,1,}, {13,3,8,1,24,1,13,1,12,1,15,2,12,1,14,1,12,1,9,1,13,1,14,1,9,1,8,1,10,1,9,1,8,1,16,1,11,1,17,1,11,1,24,1,13,1,9,1,13,1,24,1,10,1,17,1,8,2,24,1,8,1,9,1,13,1,9,2,12,1,9,1,24,2,8,1,17,2,8,1,13,1,9,1,12,1,6,1,10,1,8,1,9,1,8,1,12,1,9,1,24,1,8,1,15,1,9,3,13,1,9,1,24,1,15,1,11,1,10,1,17,8,16,1,12,1,10,1,14,2,16,1,14,1,17,2,11,1,16,3,11,1,17,1,12,1,16,1,17,6,16,1,17,49,11,1,17,1,13,1,8,1,13,1,9,4,8,1,13,2,6,1,30,2,29,1,9,1,11,1,9,1,8,2,24,1,9,1,13,1,8,1,24,1,9,1,24,2,12,1,10,1,17,2,11,1,7,1,6,1,8,2,10,1,13,1,28,32,30,1,28,1,6,1,29,1,7,1,6,1,9,1,14,1,7,1,6,1,28,2,7,1,6,1,13,1,17,1,12,1,17,2,9,2,10,1,9,1,8,2,13,2,24,5,9,1,7,1,6,1,13,1,8,1,24,1,13,1,9,1,12,1,17,1,15,1,14,2,16,1,6,1,28,1,30,1,28,1,30,1,28,2,29,1,30,2,29,1,13,1,28,3,12,1,17,3,16,1,17,19,16,3,11,1,16,1,11,1,12,1,9,1,16,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,9,2,8,2,13,1,9,2,13,1,9,1,8,2,13,1,8,1,7,1,28,1,13,1,9,1,29,1,13,4,6,1,29,1,13,1,8,1,6,1,7,1,13,7,9,1,13,2,9,1,6,1,9,1,13,1,9,1,8,1,9,4,13,1,9,1,13,1,10,1,8,1,9,1,13,1,8,2,13,1,8,1,13,2,9,1,8,2,11,1,13,1,8,1,9,1,8,2,9,1,13,7,9,1,13,2,8,1,9,1,13,2,8,1,13,3,6,1,7,1,8,1,13,3,6,1,13,2,6,1,13,2,24,1,8,1,9,1,13,2,8,1,9,2,13,1,8,1,9,4,13,2,6,1,29,1,9,1,8,1,9,2,13,1,30,1,13,2,6,1,8,1,13,2,6,1,8,2,13,3,8,1,13,2,7,2,6,1,29,1,13,1,8,1,13,1,6,1,8,1,6,1,7,1,13,2,8,1,13,1,9,2,13,2,6,1,7,1,13,4,7,1,8,1,6,1,13,1,6,1,30,1,28,2,13,1,11,1,17,13,16,1,17,25,16,1,17,6,16,3,17,4,16,4,17,1,16,1,11,1,17,1,16,5,11,2,16,1,17,1,16,1,17,1,11,1,16,5,17,2,16,1,11,1,17,1,16,16,17,3,16,1,17,7,10,1,9,1,12,1,11,1,10,1,24,1,9,1,8,1,9,1,8,1,9,1,13,2,9,1,8,1,13,1,6,1,13,2,7,1,30,1,6,1,30,1,6,1,13,1,30,1,6,1,30,2,29,1,6,1,13,1,29,1,30,2,6,1,29,1,13,1,30,1,7,1,8,1,29,1,6,1,7,1,29,1,6,2,29,1,7,1,30,1,13,1,6,1,8,2,13,1,10,1,17,5,16,2,11,1,16,10,17,1,16,2,11,2,17,1,16,1,11,1,16,9,17,1,16,2,17,4,16,1,17,3,16,4,11,1,9,2,16,1,9,1,11,3,9,2,10,1,11,1,9,1,11,1,8,1,11,1,9,3,11,1,9,3,8,1,9,7,11,1,8,1,11,2,17,1,11,1,9,1,13,2,9,7,16,1,17,1,8,2,10,1,9,1,8,2,9,2,8,1,9,1,13,2,9,4,11,1,13,2,9,1,13,1,9,1,13,1,9,1,8,2,13,1,9,1,13,1,8,1,9,1,11,1,13,1,9,4,10,2,13,1,8,1,9,2,11,1,9,2,11,1,9,2,6,1,13,2,6,1,13,8,9,3,10,1,9,3,10,1,9,1,11,1,9,5,10,1,9,1,11,1,8,1,9,3,11,1,9,3,13,1,8,1,9,4,16,2,11,1,8,1,9,2,16,1,9,1,11,1,13,1,9,1,11,4,16,3,17,1,16,1,17,1,11,2,17,1,16,2,17,13,11,1,17,2,16,1,11,2,16,2,11,1,9,1,12,1,9,1,12,1,16,1,8,1,16,1,11,2,8,2,9,1,16,1,9,3,11,2,16,1,9,1,17,1,9,1,10,1,17,1,10,1,16,1,17,3,16,2,17,9,16,1,11,1,9,2,11,2,9,2,11,1,16,2,10,1,11,2,10,2,11,1,17,1,11,1,17,1,16,2,11,1,16,2,17,26,16,1,17,5,16,2,17,1,16,3,17,1,16,1,12,2,9,4,11,1,16,2,17,1,16,6,17,1,16,1,17,3,16,2,11,1,9,1,11,1,9,8,11,2,16,5,17,1,16,9,17,2,16,1,17,1,16,3,17,1,16,1,11,1,9,1,16,1,6,3,29,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,3,30,1,28,2,30,5,6,1,30,2,28,5,6,1,30,3,28,2,30,7,28,1,29,1,30,15,29,1,6,1,30,1,29,1,30,2,6,1,30,1,6,2,30,1,29,1,28,1,30,1,6,1,30,1,6,1,13,1,28,1,7,2,6,1,13,1,6,2,29,1,6,1,29,1,30,1,6,1,29,1,6,1,30,2,28,2,29,1,28,3,30,1,28,1,30,2,6,1,28,2,30,3,6,1,13,1,28,2,30,1,6,1,30,2,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,3,30,2,6,1,11,1,8,1,30,1,28,1,30,4,28,1,30,1,6,1,7,1,28,1,6,1,30,3,29,2,30,1,29,1,13,1,6,5,13,1,6,2,13,1,6,2,13,1,6,1,7,1,30,2,6,1,30,3,6,1,30,1,28,1,30,1,6,1,30,1,6,2,28,1,7,1,6,2,30,1,6,3,7,1,6,1,30,2,6,2,30,7,28,2,30,3,28,1,30,3,28,3,30,1,28,1,30,1,6,1,28,1,29,1,28,2,30,2,28,1,30,1,28,1,30,3,6,1,30,1,28,1,30,8,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,28,1,30,2,6,2,30,1,6,1,30,2,6,1,30,2,6,1,30,1,7,1,6,1,30,1,13,1,30,1,6,3,30,1,6,2,7,1,6,2,30,1,6,3,13,1,30,1,6,1,28,1,6,1,30,1,6,2,30,1,28,1,6,1,30,5,6,3,13,1,6,3,30,1,28,1,30,1,29,2,6,1,30,3,6,3,30,1,6,3,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,7,1,30,2,29,1,6,2,29,1,6,1,13,1,6,1,13,1,30,1,6,9,7,1,6,1,29,1,6,4,30,1,13,1,7,1,13,1,6,1,7,1,6,1,13,2,6,4,13,1,6,2,13,1,6,1,28,1,6,1,17,1,11,3,9,1,11,1,9,1,10,1,12,1,10,1,9,5,8,1,9,1,8,1,10,1,11,1,24,1,10,1,8,1,9,1,24,1,13,1,8,4,13,1,8,1,13,1,24,1,9,1,24,1,10,1,8,1,24,1,13,1,24,1,9,1,24,2,8,1,13,1,8,1,7,2,8,1,6,1,30,1,6,1,7,1,6,2,29,2,6,1,13,1,6,1,29,1,30,1,7,1,6,1,7,1,29,1,13,1,6,1,13,1,7,2,6,1,8,1,13,1,6,1,7,1,6,1,28,26,30,1,6,1,13,1,28,1,6,1,29,1,6,1,8,1,7,1,13,1,8,1,24,1,7,3,29,1,30,2,7,1,29,1,6,1,7,1,9,1,24,1,8,1,17,5,11,5,9,1,12,1,8,1,9,3,8,1,10,1,9,1,8,1,9,1,11,1,8,2,9,1,8,1,9,1,11,1,9,2,8,1,10,1,24,1,9,2,12,1,9,1,24,1,9,1,10,1,8,1,9,1,24,1,9,1,8,2,10,2,13,1,10,1,24,1,13,1,9,1,8,2,24,1,13,1,9,1,8,1,24,1,7,1,13,1,8,2,7,2,8,1,13,1,6,1,13,2,8,1,24,1,29,1,8,1,13,1,9,1,8,1,9,1,24,1,8,1,13,1,8,1,13,1,24,1,8,1,10,1,9,1,8,2,10,1,24,1,8,1,10,2,8,1,17,1,24,1,12,1,24,1,8,2,10,1,12,1,10,3,12,1,24,1,8,1,17,1,24,2,10,1,24,1,13,1,8,1,24,1,8,2,7,1,10,2,8,1,24,1,9,2,24,1,12,1,10,1,12,2,24,1,12,1,10,2,24,1,17,1,9,1,17,3,9,1,10,2,8,1,24,1,13,1,25,1,30,1,25,1,6,1,29,1,30,1,25,1,27,1,25,1,27,2,26,2,29,1,30,2,29,1,28,1,25,1,28,1,6,1,29,1,25,1,8,1,7,1,25,1,8,1,29,1,25,1,7,1,24,1,25,2,8,1,24,1,13,1,8,1,24,1,12,2,8,1,10,1,12,1,10,1,12,2,24,1,8,1,24,1,13,1,6,1,7,1,8,1,6,1,8,1,7,1,24,1,8,1,24,1,6,1,25,1,6,1,8,1,29,1,8,1,26,1,25,1,6,2,24,3,7,1,25,1,6,2,29,1,6,1,7,1,6,1,7,1,30,1,7,3,13,1,29,1,13,2,6,1,13,2,6,1,8,1,13,2,9,1,13,1,7,1,8,1,13,3,7,1,8,2,6,1,30,1,13,1,7,1,13,1,8,1,10,3,9,1,24,1,17,1,24,1,9,1,10,1,9,1,12,1,17,1,9,1,11,1,12,1,10,3,17,1,9,1,10,1,12,1,17,2,12,3,17,6,12,1,8,1,17,5,16,1,17,6,11,1,17,8,11,3,17,1,12,1,11,1,12,1,17,2,11,1,17,6,12,1,10,1,12,1,11,1,10,1,11,3,13,1,6,3,7,1,29,1,13,2,9,1,8,1,10,1,12,1,9,1,11,3,10,1,24,1,17,1,10,1,9,1,11,1,12,1,9,2,13,1,9,1,8,1,13,1,8,1,6,1,13,1,8,1,6,1,13,1,6,1,7,1,13,2,29,1,13,1,6,1,8,1,13,1,7,1,13,1,10,1,13,1,9,3,10,1,8,2,13,1,11,1,13,1,7,1,9,1,13,1,9,1,7,1,10,1,9,1,24,1,8,1,13,1,10,1,9,3,13,1,9,1,8,1,9,1,13,1,9,1,24,1,8,1,24,1,9,1,13,2,9,1,13,1,7,1,6,1,30,1,28,3,30,1,28,2,30,1,13,2,11,2,10,2,11,1,9,1,13,1,8,3,7,2,13,1,7,1,13,3,9,1,8,1,13,2,8,2,10,1,13,1,9,2,8,4,9,6,10,2,8,1,10,1,9,1,11,4,9,1,10,1,9,1,11,4,16,2,11,1,10,1,16,2,11,1,9,3,11,3,16,1,9,1,11,1,9,1,11,1,10,1,9,2,13,1,9,3,13,1,10,1,13,1,9,1,16,1,11,1,16,1,9,2,11,3,16,1,11,1,16,1,9,2,16,1,11,2,9,11,8,1,9,3,11,1,9,4,11,1,9,5,11,1,9,1,11,1,9,1,11,2,9,1,11,1,9,2,11,3,9,1,11,1,9,1,11,1,9,1,11,1,9,1,13,1,9,2,10,1,9,4,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,6,16,2,11,3,16,1,9,3,13,1,28,13,30,1,9,1,12,2,9,1,17,1,24,2,13,1,7,1,6,1,13,1,29,1,7,1,6,1,30,1,6,1,30,2,28,1,6,2,24,1,8,1,9,1,10,1,24,1,8,3,6,1,28,6,30,1,8,1,13,1,7,1,6,1,30,1,28,35,9,1,11,1,13,1,30,1,6,1,30,1,8,1,17,2,12,2,9,1,6,2,30,1,6,1,13,2,8,1,9,1,24,1,17,3,12,1,17,1,16,1,17,1,16,2,17,3,11,1,16,1,13,1,8,1,10,1,12,2,17,3,8,1,9,2,12,1,11,1,10,1,9,2,8,1,13,1,9,1,8,3,13,1,12,1,13,1,9,2,24,1,12,1,8,1,9,2,13,1,8,1,9,1,10,1,12,2,24,2,8,2,6,1,8,1,9,1,11,1,10,1,24,1,6,1,13,1,7,2,10,1,24,2,15,1,8,1,30,1,13,1,8,1,13,1,9,2,17,1,8,1,13,1,8,1,9,1,13,1,8,1,24,1,8,1,}, {8,1,13,2,29,1,13,2,24,1,9,1,15,1,9,1,17,1,12,1,13,1,11,1,24,1,9,1,8,1,13,2,8,1,11,1,12,1,17,1,9,1,11,1,7,1,8,1,13,1,12,1,8,1,12,1,13,1,12,1,11,1,10,1,9,1,8,1,9,1,24,1,13,1,9,1,8,4,10,1,12,2,10,1,12,1,7,1,9,1,13,1,10,1,9,1,8,1,10,1,24,1,14,1,8,1,9,1,8,1,9,4,24,1,10,1,17,1,14,1,17,6,10,1,17,2,14,2,15,1,17,4,12,1,10,1,16,1,11,1,17,2,16,1,17,57,8,1,13,1,7,1,8,1,7,1,13,1,9,1,10,1,9,1,8,1,6,1,28,2,30,1,28,2,24,1,14,1,9,1,12,1,8,1,9,1,8,4,10,1,9,1,10,3,17,2,8,1,9,1,13,2,6,3,28,31,30,1,28,2,30,3,6,1,12,1,15,1,13,1,30,1,28,1,30,2,6,1,9,1,17,2,12,2,24,1,11,1,13,1,8,4,9,2,24,1,13,2,9,1,13,1,6,1,13,1,6,1,8,1,13,1,8,1,9,2,12,1,15,1,14,3,8,1,28,5,30,3,28,1,30,2,28,3,9,1,17,13,16,1,11,1,16,1,11,1,16,1,11,1,9,2,8,2,13,2,6,4,7,1,30,1,6,2,13,8,11,1,13,1,9,3,8,1,13,5,8,1,9,1,13,5,6,1,29,1,13,2,7,1,13,1,6,1,13,3,7,1,13,3,8,1,6,1,13,5,8,1,13,4,9,4,8,2,9,1,13,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,13,2,9,1,13,1,9,1,13,7,7,1,8,1,13,1,8,1,13,3,8,1,9,1,13,5,7,1,13,2,6,1,8,1,13,1,8,1,13,1,6,1,7,1,13,1,8,2,13,1,9,1,8,1,9,1,8,1,9,3,8,1,16,1,9,2,8,1,13,1,6,1,8,1,7,1,6,1,11,2,9,2,13,1,7,1,29,1,8,2,13,3,6,1,13,1,6,1,13,1,6,2,8,1,30,1,13,1,7,1,6,1,13,2,7,1,13,6,8,2,13,5,8,1,13,1,7,1,8,1,13,1,7,1,13,2,30,1,6,2,13,1,30,2,28,1,6,1,17,33,16,1,17,3,16,1,17,2,16,1,17,1,16,6,17,2,16,1,17,1,11,1,17,1,16,1,11,1,16,2,11,1,16,4,11,1,16,1,17,1,16,3,17,1,16,2,11,1,16,1,17,1,16,2,17,1,16,1,11,1,17,1,11,1,16,3,11,1,17,1,16,1,17,1,16,1,17,1,16,5,17,2,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,4,11,1,12,1,17,1,9,1,17,1,9,1,12,1,11,1,12,2,13,1,9,1,13,2,8,2,13,1,6,3,13,1,30,1,6,1,30,1,6,2,30,1,7,1,29,1,13,1,6,2,29,1,7,1,6,1,30,1,6,1,29,1,30,1,7,1,13,1,29,1,13,1,7,1,29,1,6,4,7,1,13,1,6,1,7,1,9,1,8,1,13,1,9,1,17,6,16,12,17,1,16,5,11,1,16,3,11,1,16,3,17,1,16,1,17,1,16,2,17,1,16,1,17,1,16,7,9,1,11,2,17,1,16,2,11,1,9,1,16,1,9,1,11,1,10,1,9,2,10,1,11,1,9,1,10,1,8,1,9,3,10,1,9,4,13,1,11,2,9,1,11,1,9,2,11,1,9,3,8,1,9,3,13,1,9,7,13,1,8,1,11,1,8,1,9,4,8,1,9,9,13,1,9,1,8,1,9,4,8,1,13,3,8,2,9,3,8,2,9,1,11,1,9,1,11,1,13,1,9,4,8,1,9,1,11,1,9,3,13,2,6,1,13,1,6,1,13,4,9,3,8,1,9,2,11,1,9,4,10,1,9,1,8,1,9,5,13,1,10,1,9,2,11,2,13,1,11,1,10,1,13,2,8,1,9,1,10,1,11,1,13,1,16,1,11,1,9,2,8,1,9,1,11,1,13,1,11,1,9,2,11,3,16,4,17,1,16,1,17,2,16,1,17,17,16,1,10,1,12,1,16,1,9,1,11,1,8,1,11,1,9,1,12,1,9,3,11,1,9,2,12,1,8,1,16,1,12,1,9,1,16,1,9,2,11,1,9,1,17,1,11,2,9,1,17,1,16,2,17,2,16,1,17,10,11,3,9,3,8,1,9,1,11,1,16,1,11,1,16,1,17,1,11,1,10,1,11,1,12,1,11,1,16,1,11,4,16,1,17,1,11,1,17,33,16,1,17,1,16,2,11,1,16,1,17,2,16,2,9,1,11,1,8,1,9,1,11,1,9,1,16,1,17,1,16,8,17,2,16,5,11,3,9,6,11,1,9,1,16,1,11,1,17,1,16,4,17,2,16,3,17,1,16,12,13,1,17,1,13,1,28,1,30,3,29,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,5,30,1,28,1,30,5,28,3,30,3,28,1,30,2,28,1,30,5,6,1,30,1,28,1,30,2,6,1,30,1,6,1,28,1,30,1,6,1,30,2,28,2,30,4,29,1,28,1,6,1,30,4,6,2,30,1,6,1,13,1,30,1,6,1,28,1,29,1,30,1,28,1,6,1,29,1,28,1,30,1,13,3,30,2,6,1,29,1,6,1,29,1,6,1,30,2,28,1,6,2,30,2,6,1,30,1,28,1,30,3,28,1,29,1,28,1,30,1,6,1,30,1,28,1,13,1,6,1,30,2,28,1,30,3,28,2,30,10,28,1,30,1,28,1,30,2,6,1,30,3,28,1,13,1,11,1,9,1,28,2,30,2,28,5,30,3,6,1,30,1,6,3,30,1,6,3,13,1,6,2,13,1,6,1,7,1,30,1,13,1,6,2,30,1,6,2,28,1,6,1,30,1,6,1,13,1,30,2,6,1,29,1,6,1,13,1,6,1,30,2,6,3,30,2,6,1,30,2,29,1,30,1,6,1,30,5,28,1,30,1,29,1,30,3,28,1,30,1,28,1,30,3,28,3,30,1,28,2,30,2,28,2,30,4,28,1,30,1,28,1,29,1,30,1,28,1,30,2,6,1,30,2,28,1,30,5,28,1,30,4,28,1,30,1,28,1,30,5,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,13,1,6,2,7,1,6,4,29,1,7,1,30,1,6,1,7,1,6,1,13,1,6,3,30,1,6,1,30,1,6,5,30,3,28,1,6,1,30,1,29,1,30,2,28,1,13,1,6,2,7,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,28,1,30,5,6,1,28,1,13,1,6,3,7,2,6,1,13,1,6,1,13,5,30,3,29,1,30,1,6,6,29,1,6,5,30,1,6,1,13,1,6,7,13,1,6,5,7,1,6,1,13,1,7,1,6,1,30,1,13,3,7,1,13,2,28,2,9,1,17,1,11,1,12,1,10,1,11,1,9,2,10,1,9,2,11,1,10,1,24,1,10,1,9,1,24,1,8,1,10,1,24,1,9,2,24,1,9,1,24,2,8,1,9,1,8,1,10,1,8,1,9,1,13,1,9,1,8,1,24,1,13,1,24,1,8,1,24,1,9,1,8,1,13,3,24,1,13,1,8,1,6,1,8,1,7,1,8,1,13,1,6,2,7,1,6,3,29,1,24,1,7,2,6,4,30,1,13,5,6,1,13,1,6,1,13,1,7,1,28,29,30,1,28,1,6,1,29,1,7,2,13,2,6,2,24,1,6,1,7,1,30,1,7,1,29,2,30,1,7,1,6,1,7,1,12,2,17,1,12,1,17,3,11,1,9,1,10,1,17,1,11,1,9,1,10,1,9,5,12,1,24,1,9,1,8,1,10,1,11,1,24,1,10,2,9,1,12,1,9,1,13,1,24,1,10,1,9,5,10,1,9,2,24,1,8,2,13,1,10,1,8,2,7,1,8,1,24,1,9,1,24,1,8,1,24,2,8,1,24,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,8,1,13,1,8,1,13,2,9,1,24,1,8,1,9,1,13,1,24,1,8,2,6,1,24,1,12,1,10,2,8,1,24,1,10,1,12,1,24,2,13,1,10,1,8,1,24,1,17,1,13,1,12,1,8,1,12,1,8,1,12,1,24,1,12,1,24,2,12,1,9,1,12,1,24,2,13,1,24,1,10,1,8,1,10,2,24,1,8,1,24,3,8,1,24,1,10,1,12,1,8,1,17,1,12,2,17,1,12,1,17,1,9,2,17,1,10,1,12,4,11,1,10,1,17,1,24,1,10,1,30,1,8,1,6,1,7,1,6,2,29,1,30,1,25,1,29,1,27,3,29,2,6,1,8,1,29,2,6,1,29,1,6,3,29,1,7,1,29,2,6,1,25,2,8,1,25,1,8,2,7,3,8,1,10,1,12,1,10,1,17,1,12,1,24,1,8,1,12,1,24,1,8,2,24,1,13,1,8,1,6,1,13,1,8,1,13,1,6,1,25,1,29,1,7,1,25,2,6,1,27,1,29,1,26,1,25,1,8,2,7,1,30,1,8,1,27,1,25,1,26,1,8,1,6,1,30,1,7,1,30,1,6,1,29,1,6,1,7,1,13,1,30,1,6,1,13,1,7,1,8,1,13,2,7,1,13,1,7,1,8,2,6,1,13,1,8,2,13,1,7,1,8,2,13,1,9,1,13,1,8,1,13,2,10,1,17,2,13,1,12,1,9,1,10,1,17,1,10,1,17,1,9,1,10,1,11,1,12,1,9,1,12,1,17,1,9,1,11,1,12,2,17,2,12,2,17,3,12,2,17,5,10,1,12,1,17,2,16,1,17,2,16,1,17,3,12,2,17,9,12,1,17,2,11,2,17,6,11,1,17,2,12,2,9,1,11,1,12,1,11,2,9,2,13,1,7,2,6,1,30,1,7,1,6,1,9,1,7,1,9,1,10,1,12,1,10,1,12,1,11,1,10,1,9,2,10,1,9,1,24,1,9,1,8,1,9,1,8,1,13,1,6,1,13,2,7,1,13,1,8,1,7,1,13,2,7,1,13,3,8,1,13,1,8,1,13,1,7,2,9,1,8,1,10,1,13,1,10,1,8,1,11,1,13,1,9,3,13,1,9,1,8,2,11,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,11,1,8,1,13,1,9,1,8,1,11,1,13,1,8,1,10,1,13,1,8,1,7,1,13,1,8,1,13,1,6,1,13,1,30,1,6,2,7,1,28,2,29,1,13,2,9,2,10,2,11,1,9,1,13,1,8,1,9,1,13,3,6,2,13,2,9,1,8,2,7,1,13,1,8,2,13,1,10,1,13,1,8,1,13,1,8,1,24,1,10,1,9,1,8,1,9,1,8,2,9,1,13,1,9,4,11,1,9,2,16,1,10,1,16,1,11,3,10,1,16,1,11,1,16,2,11,5,10,1,16,1,11,2,9,1,11,1,9,1,11,2,9,1,11,1,16,1,9,1,11,2,9,1,8,1,9,3,11,1,8,1,11,1,9,2,11,1,9,2,11,5,16,1,11,1,9,1,11,1,9,2,11,1,9,1,8,1,9,3,11,1,9,5,11,1,9,4,11,1,9,4,11,1,10,1,11,1,9,3,11,2,9,1,11,1,9,2,16,1,9,3,11,2,9,6,16,1,9,1,11,3,8,1,9,3,11,1,9,1,13,1,11,2,9,1,16,1,17,1,11,2,16,1,9,1,10,1,9,1,11,1,16,6,9,1,10,1,28,14,30,1,9,1,14,1,12,1,11,1,12,1,24,1,13,1,29,1,6,2,7,1,30,2,6,2,30,5,7,1,8,1,9,2,10,2,8,1,13,1,9,1,29,1,28,6,29,1,13,1,8,1,6,1,29,1,28,36,13,1,8,1,13,1,30,1,28,2,8,1,12,1,17,1,24,1,12,1,17,1,13,2,30,1,29,3,8,1,13,1,8,1,10,1,17,7,12,1,17,2,16,1,9,2,11,2,17,1,10,1,17,3,12,1,17,1,10,1,9,1,17,1,10,1,8,1,9,2,8,1,13,1,24,1,8,1,13,1,10,1,13,1,8,1,7,1,9,1,7,1,10,1,24,1,17,1,24,1,9,1,12,1,10,1,24,1,9,1,12,1,17,1,9,1,24,1,13,4,17,1,12,1,9,1,8,1,13,1,29,1,7,1,8,1,10,1,24,1,10,1,15,1,13,3,6,2,11,2,17,1,24,1,13,1,8,3,6,3,}, {8,1,13,1,8,1,13,1,6,1,12,1,24,1,8,1,15,1,10,1,24,1,15,1,24,1,13,1,24,1,13,1,24,1,30,1,8,1,9,1,13,1,12,1,17,1,10,1,12,1,8,1,9,1,8,1,9,1,24,1,12,2,9,2,14,1,12,1,15,1,11,1,12,1,9,1,13,2,8,1,11,1,9,1,17,1,9,2,24,2,9,1,12,1,8,1,13,1,9,1,10,1,17,1,9,1,10,2,24,1,9,1,8,1,9,1,11,1,10,1,9,1,12,1,17,10,16,1,17,1,12,1,14,1,17,1,11,1,17,2,11,1,12,1,16,1,17,2,12,1,17,57,9,1,13,2,7,1,6,1,8,1,13,1,9,1,11,1,9,1,13,1,28,1,30,1,28,1,30,1,28,2,9,1,15,1,9,1,24,1,9,1,24,1,13,2,8,1,9,2,8,1,10,1,9,1,16,1,11,1,10,1,8,1,29,1,13,3,9,1,6,1,28,29,30,1,28,5,6,3,24,1,14,1,7,1,30,1,29,1,28,2,29,1,13,1,17,2,11,1,17,1,11,2,9,1,8,1,24,1,13,1,15,3,9,1,24,1,8,1,13,1,6,1,13,1,6,1,29,1,13,1,24,1,8,1,24,1,12,2,17,1,14,2,17,1,30,1,6,1,28,8,29,1,6,1,28,3,6,1,9,2,11,1,17,2,11,4,9,1,8,1,13,3,6,1,29,1,30,1,6,1,7,1,13,1,6,1,29,1,6,1,28,2,30,1,6,1,30,1,6,3,30,1,28,1,7,2,13,1,6,2,13,1,6,1,13,2,6,1,13,1,9,1,8,1,7,1,8,1,9,2,8,1,13,3,8,1,13,2,29,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,8,1,13,2,6,1,13,1,6,1,13,3,8,1,7,1,13,1,8,1,7,1,13,1,8,2,9,3,8,3,9,1,13,1,11,1,9,1,13,1,9,1,8,2,13,1,9,1,8,1,13,1,8,1,13,2,8,2,13,2,8,1,13,3,6,1,13,1,8,1,9,1,8,1,13,3,8,1,6,1,9,1,13,2,7,1,13,2,6,1,8,1,13,1,8,2,13,5,24,1,13,1,8,2,13,1,11,1,8,3,9,4,8,1,9,1,13,1,6,1,7,2,8,1,9,2,12,1,9,1,13,1,6,1,7,1,13,1,8,1,6,1,13,1,6,1,7,1,13,1,8,1,13,2,30,1,6,2,13,1,7,1,6,1,13,1,29,1,13,1,8,1,13,3,7,1,8,1,13,2,8,2,13,1,8,1,6,1,13,1,7,1,6,1,8,1,6,1,13,4,6,1,13,1,6,1,30,3,6,1,11,1,17,30,16,3,17,1,16,1,17,1,16,6,11,1,16,1,9,1,16,2,9,1,11,1,16,1,11,1,16,1,9,1,11,2,16,1,11,1,10,1,11,1,17,1,16,2,17,2,16,5,17,1,16,3,11,1,16,2,17,1,16,3,17,2,11,1,16,1,17,1,16,1,17,1,16,1,17,1,16,7,17,1,11,1,16,2,17,10,10,1,9,1,12,2,9,1,10,1,11,1,13,1,8,1,13,3,9,1,13,2,29,1,13,1,7,1,6,2,30,1,29,1,6,1,29,1,7,1,28,1,29,1,28,1,30,1,29,1,28,2,29,1,13,1,7,1,6,1,8,2,28,1,29,1,6,1,30,1,28,1,29,1,7,1,29,1,7,1,29,1,30,1,6,1,30,1,24,1,8,1,13,1,8,1,13,1,16,1,17,5,16,1,17,1,16,2,17,1,16,6,11,1,16,6,11,2,16,7,17,1,16,1,17,2,16,4,11,1,16,1,11,1,9,1,13,1,11,5,9,1,11,2,9,1,11,2,16,1,9,1,11,1,9,1,8,1,9,1,11,1,9,3,8,1,9,3,11,1,10,1,9,1,8,1,9,2,11,1,9,1,10,1,9,1,8,1,11,1,8,2,9,1,11,1,9,1,10,1,9,1,8,2,9,5,8,1,13,1,10,1,9,1,8,1,13,3,9,3,13,3,9,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,9,3,8,1,13,1,9,7,8,1,9,2,8,1,9,6,8,1,13,1,9,1,11,3,13,1,9,1,13,5,9,2,13,1,9,1,13,1,8,1,9,1,13,2,11,1,9,12,13,1,9,2,11,1,9,1,10,1,9,2,8,1,13,1,9,2,11,1,9,2,11,1,16,2,9,2,11,1,13,1,11,2,10,1,9,1,11,1,16,1,11,3,16,2,11,1,16,2,11,2,17,12,16,1,17,6,16,2,11,2,9,2,10,1,12,1,9,2,12,1,9,2,10,1,11,1,9,1,11,1,9,1,10,1,11,1,16,3,11,1,17,2,16,1,17,1,9,1,16,3,17,1,16,1,11,1,17,1,16,1,17,6,11,1,16,1,9,1,11,2,9,1,11,1,9,2,12,1,11,1,9,1,16,1,11,1,16,1,11,1,10,2,16,1,17,1,16,4,11,1,16,1,11,1,16,2,17,28,16,1,17,3,16,2,11,1,9,1,11,2,16,1,11,1,17,1,16,1,17,1,11,2,12,1,9,1,11,1,16,1,17,1,16,8,17,1,16,2,17,1,16,3,11,1,9,5,13,3,9,4,11,2,16,5,17,1,16,1,17,1,16,7,17,1,16,2,17,1,16,1,11,1,10,1,17,1,13,1,30,4,28,1,30,5,28,5,30,1,28,2,30,1,28,1,6,1,28,4,30,2,28,1,30,3,28,1,30,3,29,1,6,1,30,1,6,2,30,4,28,1,30,1,6,1,28,1,30,4,28,1,29,1,30,1,28,1,30,2,28,2,30,1,28,1,6,1,28,2,29,1,30,1,6,1,30,1,6,1,28,1,30,1,7,1,6,1,30,3,29,1,30,1,6,1,7,1,6,2,13,1,6,4,30,1,6,1,28,1,30,2,29,1,6,1,30,1,29,2,28,1,29,1,30,5,6,1,30,5,28,1,8,1,30,3,28,2,30,1,28,1,30,1,6,1,28,1,30,3,28,1,6,1,28,1,6,1,30,4,28,2,30,1,28,4,30,1,28,1,30,1,6,1,30,1,28,3,30,1,28,1,30,2,28,1,30,3,28,3,29,1,30,1,6,2,7,1,13,1,6,1,29,1,13,2,6,1,13,1,6,1,13,1,6,2,30,2,29,1,30,3,28,1,30,2,28,1,30,1,29,1,30,1,6,2,30,1,6,4,30,3,6,1,29,1,30,1,6,1,28,2,30,1,6,1,28,1,30,6,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,13,28,1,30,3,28,1,30,2,28,2,30,1,29,1,6,1,30,2,29,1,30,1,28,1,29,1,30,5,28,1,30,1,28,1,30,2,28,2,30,3,6,1,30,3,6,1,30,1,28,1,30,1,6,5,7,1,6,3,13,1,6,4,30,1,7,1,6,7,30,1,6,1,30,1,28,1,30,6,7,1,13,2,30,1,13,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,3,29,1,13,1,6,2,13,1,6,1,13,1,7,1,6,1,13,4,9,1,30,3,6,2,30,1,6,2,13,1,6,4,7,1,30,1,6,3,30,1,6,1,13,1,6,2,13,1,29,1,6,2,30,1,6,3,7,1,6,1,13,2,6,1,13,1,7,1,6,1,13,4,6,1,29,1,30,1,28,1,30,1,17,1,11,1,10,1,11,1,10,1,11,1,10,2,11,2,9,1,10,1,9,4,8,2,9,1,8,1,10,1,9,1,8,1,9,3,10,1,8,1,9,1,24,1,13,1,24,1,13,1,24,1,7,1,8,2,24,1,9,1,8,3,13,2,8,2,7,1,13,1,6,1,13,1,8,1,6,2,7,1,13,1,6,3,24,1,7,1,6,1,7,1,6,3,29,1,7,1,6,1,7,1,13,1,6,1,13,2,30,1,8,1,7,1,29,1,28,32,6,1,29,1,6,1,13,2,7,2,8,1,7,1,13,1,8,1,6,1,29,1,28,1,30,1,6,1,29,1,6,1,13,1,8,1,9,1,17,5,9,1,10,1,12,1,10,1,12,1,10,1,11,1,9,2,11,1,10,1,9,1,24,1,9,1,11,1,10,1,9,1,10,1,9,2,8,1,9,2,10,1,9,1,8,2,9,2,24,3,9,1,24,2,9,1,24,2,13,1,8,1,24,1,8,4,13,1,24,1,8,2,13,3,8,2,13,2,8,1,13,1,8,2,7,1,8,2,7,1,8,3,6,1,9,1,8,1,10,1,24,2,8,1,10,1,9,1,8,1,17,1,9,1,12,1,10,1,24,1,13,1,10,1,24,1,8,1,9,1,24,2,10,1,24,1,8,1,24,1,10,1,24,1,12,1,24,3,8,1,9,1,13,1,17,1,10,1,8,1,24,1,13,1,24,1,10,1,9,1,8,2,7,1,8,1,24,1,7,1,24,5,17,1,8,1,12,1,9,1,17,1,12,4,10,2,12,2,10,1,17,3,24,1,17,1,10,1,13,1,6,2,29,1,6,3,30,1,6,1,29,1,30,1,29,1,27,1,30,1,25,1,30,1,6,3,29,3,6,1,29,1,7,1,30,1,6,2,27,2,29,1,24,1,25,1,7,1,6,1,8,1,13,2,24,1,13,1,24,1,10,1,12,1,8,1,12,2,10,1,9,1,24,2,8,1,13,1,6,1,7,3,6,1,13,1,29,1,30,1,6,1,30,1,6,1,30,2,25,1,26,1,27,3,26,1,27,2,30,1,26,1,25,1,26,1,25,1,8,1,6,2,29,1,30,1,7,1,29,1,28,1,13,1,8,1,6,1,29,1,6,1,7,1,29,1,7,1,8,1,13,1,8,1,6,1,8,1,7,1,13,1,9,1,13,1,9,1,8,2,13,2,7,1,13,3,9,2,8,1,17,1,12,1,17,1,9,1,13,1,12,4,10,1,9,1,12,1,17,2,9,1,12,1,17,1,12,1,10,1,17,1,12,1,11,1,12,1,17,1,9,1,17,1,9,1,10,1,17,1,12,2,17,1,10,1,17,1,10,1,17,4,16,1,17,10,12,1,17,4,12,1,17,2,12,1,17,1,11,2,17,3,12,1,17,1,11,1,10,1,11,2,9,1,12,1,10,1,11,1,9,1,10,1,13,1,6,1,28,2,6,2,8,1,13,1,9,1,11,1,12,2,11,1,9,1,11,1,12,1,11,1,10,1,9,2,24,1,8,2,13,1,7,1,13,1,6,1,29,1,6,1,7,1,6,1,8,1,13,1,7,2,13,4,6,1,13,1,8,1,13,1,8,1,13,2,8,2,10,1,13,1,8,1,9,3,13,1,8,1,9,1,13,2,9,1,7,1,8,1,9,1,8,2,9,1,8,2,9,3,17,1,8,1,9,3,10,1,8,1,9,1,8,4,7,1,13,2,29,1,6,1,30,3,6,1,8,1,13,1,9,2,10,2,9,2,11,1,9,1,10,1,9,1,13,1,9,1,8,1,13,1,8,2,13,2,6,1,8,2,13,1,7,1,8,1,6,1,8,2,13,1,8,1,13,2,7,1,8,2,10,1,13,1,8,1,9,1,24,1,9,6,8,1,9,2,8,1,9,1,16,2,11,1,16,1,11,2,9,1,16,2,11,1,9,2,11,1,16,1,9,1,16,3,9,1,11,2,9,1,16,1,10,2,9,1,11,1,16,1,9,1,11,1,9,2,11,1,13,1,9,2,16,1,9,3,16,1,9,7,16,1,9,1,16,1,9,3,13,1,9,7,8,1,9,1,10,1,9,2,13,1,9,4,11,1,9,3,11,2,9,2,11,2,9,1,11,1,9,1,11,1,9,2,10,1,11,5,9,4,10,2,9,3,11,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,16,1,9,1,16,1,11,4,9,1,11,1,9,1,11,2,16,1,11,1,16,1,11,2,9,2,28,15,13,1,14,1,15,1,10,1,12,1,8,1,7,1,13,1,8,1,6,2,29,1,6,2,28,1,29,1,28,2,29,2,13,1,8,2,24,1,9,1,8,2,9,2,30,1,28,6,6,1,8,1,13,1,6,1,13,1,30,1,28,35,13,1,24,1,6,1,29,1,28,2,9,1,17,1,16,1,17,1,10,1,11,1,17,1,8,1,13,1,30,1,29,1,30,1,6,1,8,1,13,1,24,2,9,1,17,3,11,2,17,2,12,1,17,1,9,1,10,1,9,1,24,2,9,1,16,1,17,1,16,1,10,1,8,1,12,3,9,1,10,1,8,3,13,1,8,1,24,1,8,1,24,1,8,2,7,1,13,1,9,2,8,1,12,1,9,1,8,1,13,1,24,1,8,1,24,1,17,2,10,1,13,1,8,2,6,1,9,1,17,2,12,1,13,2,8,1,13,1,8,1,15,1,10,1,14,1,12,1,10,1,6,1,7,1,8,1,13,1,8,1,17,1,9,1,24,2,8,1,12,1,6,1,8,1,24,1,7,1,}, {24,1,6,2,7,1,13,1,10,1,24,2,12,1,9,1,15,2,7,1,8,1,7,1,8,1,13,1,7,1,13,1,8,1,17,2,12,1,10,3,24,1,9,1,24,1,17,2,12,1,9,1,12,1,11,1,8,1,24,1,11,1,10,1,24,1,9,1,8,1,9,2,12,1,24,1,10,1,24,1,9,1,24,1,10,1,9,1,8,1,9,2,13,1,15,1,8,1,24,1,8,2,9,2,24,1,15,1,9,2,14,1,17,11,16,1,17,1,14,1,16,1,14,1,17,22,16,1,17,40,12,1,9,1,8,1,13,2,6,1,29,1,6,1,13,1,8,1,10,1,9,1,8,1,6,1,28,5,6,1,14,1,15,1,24,2,13,2,7,1,8,1,13,2,9,1,11,3,17,1,16,1,9,1,13,1,7,1,6,1,8,2,13,1,28,34,29,1,28,1,6,2,8,1,12,1,13,1,28,1,29,1,30,1,6,2,10,1,17,1,12,1,16,1,17,1,12,1,11,1,12,1,8,1,9,1,24,1,9,1,6,1,13,1,7,1,24,2,13,1,6,1,29,2,6,1,7,1,8,2,13,1,8,1,15,2,14,2,17,1,6,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,4,13,1,9,4,13,3,30,2,29,1,7,1,6,1,30,1,29,1,6,2,29,1,13,1,6,1,29,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,30,1,29,1,28,1,30,3,29,1,6,1,13,1,28,1,6,3,13,1,8,2,13,6,9,1,13,1,8,1,6,1,13,1,6,3,13,1,6,1,13,2,6,1,8,1,13,1,8,1,13,3,7,2,13,5,6,1,13,1,6,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,8,2,13,1,9,1,8,1,13,3,9,1,8,1,13,3,7,1,13,1,8,1,13,1,8,1,13,2,6,1,7,1,6,1,13,1,6,1,13,3,6,2,13,1,8,1,9,1,6,2,13,1,6,1,8,1,6,1,8,1,13,1,8,2,13,2,7,1,8,5,13,1,9,1,8,1,9,2,11,1,9,1,11,1,8,2,9,1,16,1,13,2,6,1,30,1,8,2,24,1,8,1,9,1,10,1,8,1,13,1,6,1,13,4,8,1,6,1,8,1,13,1,7,1,8,1,13,3,7,3,29,1,13,1,7,2,6,1,13,1,24,1,8,2,13,2,8,1,13,1,8,1,24,1,8,1,6,1,7,1,13,1,6,1,8,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,30,1,29,1,28,1,29,1,11,1,17,27,16,1,17,2,16,4,17,1,16,3,11,1,16,1,9,1,10,1,16,2,9,1,16,2,11,4,16,1,17,1,16,1,10,1,16,1,11,1,16,1,11,1,16,1,17,1,11,4,16,6,11,1,16,1,11,1,17,1,16,2,11,1,16,4,11,1,16,1,17,1,16,4,17,1,16,4,11,1,16,2,17,2,11,1,17,1,16,1,17,1,16,1,11,1,17,3,10,1,17,1,11,1,9,1,17,1,11,1,9,2,11,1,24,1,13,1,10,1,7,1,13,1,8,4,6,3,30,1,7,1,29,2,30,1,29,2,6,2,30,2,29,1,28,1,13,2,30,2,28,2,6,1,29,1,30,1,6,1,13,1,30,1,7,1,6,1,13,2,6,1,8,1,13,2,8,1,13,1,9,1,13,1,16,1,17,5,16,4,17,1,11,1,16,12,17,2,11,1,16,2,17,1,16,2,17,1,16,4,11,1,16,2,10,1,9,1,11,1,9,2,10,1,13,1,11,1,9,1,11,1,9,1,11,1,9,2,11,4,9,2,8,1,9,3,11,1,8,1,11,1,9,6,10,1,9,1,16,1,9,1,8,2,16,1,13,1,16,1,11,1,9,2,10,1,9,2,10,1,9,2,11,2,9,1,13,1,9,1,11,1,9,1,11,1,13,1,9,2,8,1,9,2,8,1,9,1,8,1,9,2,13,2,9,5,13,1,9,1,8,1,9,1,13,2,8,1,13,1,9,3,8,1,9,5,8,1,16,1,8,1,9,1,8,1,9,2,8,1,9,2,11,1,9,1,10,2,16,1,13,1,8,1,9,1,13,3,8,1,13,1,8,1,13,2,11,1,9,1,11,1,9,1,11,1,9,1,13,1,9,2,10,1,8,1,9,1,10,1,13,1,9,3,11,1,8,1,9,1,8,1,11,1,9,1,13,2,6,1,13,1,8,1,13,1,9,1,16,1,11,2,9,1,11,1,9,2,10,1,11,3,9,1,8,1,11,3,16,1,10,1,9,1,16,2,17,14,16,1,17,2,16,1,17,1,16,1,11,2,16,2,11,1,12,1,11,1,17,1,9,1,17,1,8,1,10,1,9,2,11,1,8,1,9,1,11,1,9,1,11,2,17,1,9,1,16,2,9,1,17,1,11,2,16,1,17,3,11,1,17,9,16,2,10,1,12,1,16,1,8,1,9,3,11,1,9,1,10,1,16,1,11,1,10,1,11,1,9,1,17,1,16,2,17,2,16,1,11,1,17,1,16,2,9,1,16,2,17,31,16,4,9,2,11,1,9,1,10,1,11,1,17,1,16,1,17,2,11,1,16,1,17,1,16,2,17,2,16,15,11,1,9,3,13,2,9,1,13,1,9,1,13,2,9,1,16,1,9,1,11,1,16,4,17,1,16,2,17,1,16,4,17,1,16,2,17,1,16,4,11,1,9,2,6,1,30,6,28,1,30,2,28,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,6,1,30,2,6,2,30,1,29,1,28,1,30,1,28,1,30,3,6,1,30,2,6,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,7,30,1,28,2,30,3,28,1,29,1,28,1,6,1,30,3,6,1,28,1,30,1,6,2,30,1,6,1,29,1,13,1,28,1,6,2,30,1,6,1,13,2,7,1,6,1,30,2,6,2,30,1,6,1,30,3,29,1,30,1,29,1,6,1,28,1,30,5,28,1,29,1,30,2,28,1,30,2,13,1,28,1,30,3,6,1,30,1,28,2,30,4,28,1,29,1,28,1,30,2,6,1,30,5,28,2,30,1,28,1,6,1,30,1,28,1,30,1,6,2,30,3,28,1,30,2,28,2,30,1,6,1,30,1,6,1,30,4,6,2,13,2,6,3,13,3,29,1,13,1,6,1,30,1,29,1,30,5,29,2,30,2,6,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,28,1,6,1,30,3,28,1,6,4,30,3,6,1,30,1,28,3,30,2,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,2,30,3,28,1,30,2,28,1,30,6,6,1,28,1,30,1,6,1,28,2,30,1,28,1,29,1,28,4,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,30,1,29,1,6,2,28,1,6,2,30,1,7,1,6,5,7,2,6,2,30,2,6,4,29,1,28,1,29,1,30,6,28,1,6,3,30,1,29,1,13,1,9,1,13,1,6,2,29,1,7,1,6,1,30,1,6,1,30,2,6,5,30,1,29,1,6,1,13,1,6,1,13,1,6,2,13,8,30,1,29,1,6,1,30,2,29,1,6,2,30,2,6,3,30,1,6,1,30,1,6,1,29,1,6,1,30,2,6,3,30,2,13,2,7,2,13,2,7,1,6,1,13,4,6,2,13,2,6,3,28,2,9,1,17,1,11,1,9,1,12,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,1,24,1,10,1,24,2,9,1,24,1,9,3,24,1,9,1,8,1,10,1,9,2,13,1,9,1,13,1,6,1,9,2,8,1,9,1,8,2,24,1,13,2,7,1,13,1,8,1,6,1,8,1,13,1,8,1,6,1,13,1,6,2,7,1,30,1,6,1,29,1,6,1,28,1,7,1,6,2,8,1,6,1,13,1,29,1,13,1,7,2,24,1,29,1,7,1,13,2,29,1,28,33,30,1,6,1,29,1,30,1,7,1,8,1,7,1,8,1,7,1,13,1,8,1,29,1,30,1,28,1,6,1,28,1,30,1,29,1,13,1,6,1,13,1,10,1,17,5,11,3,9,1,12,1,10,2,17,1,13,1,10,1,9,1,10,1,9,1,10,1,9,2,10,2,9,1,11,1,9,2,10,1,9,1,8,1,24,1,8,1,10,1,24,1,9,2,8,1,13,1,8,1,13,2,8,1,24,1,8,1,13,1,9,1,8,1,24,1,10,1,8,3,9,1,8,2,24,1,8,1,13,2,24,1,8,1,24,1,13,1,24,2,13,5,8,3,12,1,8,1,17,1,13,1,8,1,12,1,10,1,12,1,11,1,12,1,24,1,8,1,10,1,9,1,8,1,24,1,13,1,8,1,12,1,24,2,10,1,8,3,10,1,9,1,24,2,10,1,24,1,13,1,10,1,12,1,10,1,7,1,12,1,24,1,8,1,24,1,9,1,8,1,24,4,8,1,24,2,8,1,13,1,9,1,12,1,9,1,10,1,12,1,10,2,12,1,17,5,9,1,17,1,8,1,12,2,10,1,12,1,10,1,13,1,7,2,13,1,6,1,29,2,30,2,29,1,30,1,6,1,29,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,30,1,29,1,28,1,30,1,29,3,6,1,28,1,6,1,29,1,27,1,6,1,24,1,6,2,13,1,6,1,7,1,8,1,24,2,12,1,9,1,24,1,12,2,17,1,9,1,8,1,7,1,6,1,7,1,30,2,7,1,25,1,29,1,30,1,28,1,29,1,28,2,30,1,29,2,28,1,27,1,30,1,29,2,30,1,29,1,30,1,6,1,29,1,25,2,29,1,6,1,30,1,25,1,6,1,7,1,13,1,29,2,28,1,6,1,13,1,29,1,7,1,29,1,6,1,13,2,8,1,13,1,6,1,8,1,13,1,8,1,13,1,7,1,8,1,24,1,13,1,24,1,6,1,13,2,8,1,9,1,17,1,12,1,17,1,9,1,10,1,12,1,9,1,17,1,12,1,11,2,12,1,17,1,9,1,24,1,12,1,17,1,10,1,11,1,17,1,11,1,9,2,17,2,10,1,11,1,12,1,10,2,9,3,10,1,17,7,16,1,17,2,11,1,17,2,12,1,17,4,16,1,17,6,12,1,11,2,17,6,11,1,17,1,12,2,11,3,10,1,12,1,10,1,8,1,7,1,30,1,28,2,6,1,7,1,13,1,9,4,10,1,12,1,11,1,12,2,10,1,11,1,9,1,13,1,9,1,7,1,13,1,28,1,30,1,29,2,6,2,13,1,7,1,6,1,8,1,7,1,13,4,7,1,8,1,13,1,7,1,8,1,13,1,8,1,9,2,13,1,9,1,8,1,9,2,10,1,24,1,10,2,13,1,9,1,13,1,9,1,8,2,9,1,8,2,9,1,10,1,8,1,9,1,8,1,9,2,10,1,12,1,8,1,13,1,8,1,9,2,13,1,8,1,7,1,13,1,6,1,7,2,6,1,29,1,13,1,30,1,28,1,6,1,7,1,13,1,9,2,10,1,9,1,10,1,9,1,11,1,9,4,10,1,9,1,24,1,9,1,8,2,9,1,13,3,8,1,13,12,7,1,8,1,13,1,24,1,8,4,9,1,13,1,9,1,8,1,10,1,13,1,10,1,9,2,13,1,11,2,16,1,11,1,16,1,11,1,16,1,11,2,9,2,11,2,9,1,16,1,11,1,9,1,17,1,9,1,11,3,16,2,10,2,11,1,9,2,16,1,8,1,9,1,10,1,8,1,11,1,9,2,11,2,9,4,11,2,9,2,11,1,13,1,9,1,11,1,9,8,11,1,13,1,9,2,13,1,9,8,11,2,9,1,11,1,9,1,11,3,9,2,10,1,9,2,13,1,11,1,9,1,11,1,9,1,11,3,9,1,11,3,16,2,11,1,9,2,11,2,9,1,11,1,9,7,11,1,9,2,8,1,9,3,13,1,9,1,11,2,16,2,11,1,16,1,11,1,8,1,28,15,11,1,15,1,10,1,17,2,15,1,6,4,30,1,7,1,30,1,29,1,30,2,28,1,30,1,29,1,13,1,7,1,13,1,24,1,8,1,9,2,13,2,9,1,30,1,28,6,30,1,6,1,7,1,28,1,29,1,28,35,30,1,8,1,13,1,7,1,28,2,6,1,8,1,17,2,12,2,11,1,17,1,9,1,24,1,30,1,6,1,30,1,7,1,13,1,8,1,9,1,8,2,17,3,16,1,17,5,16,1,17,1,12,3,16,1,17,3,9,3,17,1,24,1,9,1,11,1,9,1,17,1,13,2,8,1,24,1,8,1,13,1,8,1,7,1,24,4,10,1,9,2,8,1,7,1,13,1,9,1,8,1,17,2,10,1,7,1,24,1,8,1,6,1,8,1,17,2,9,1,8,1,6,1,8,1,13,1,8,1,11,1,12,1,17,3,28,1,6,1,7,1,13,1,12,1,17,1,15,1,9,2,8,1,24,1,8,1,24,2,10,1,}, {8,1,6,1,13,1,6,1,29,1,9,1,10,1,8,1,12,1,17,1,12,1,17,1,24,1,8,1,6,3,13,1,7,1,13,1,10,1,17,3,11,1,9,1,13,1,9,1,8,1,13,1,17,1,12,1,9,1,11,1,12,1,17,1,8,1,12,1,13,1,12,1,24,1,10,1,8,2,10,1,8,1,12,1,24,1,10,1,24,1,12,1,10,1,8,1,10,1,24,1,12,1,8,1,12,1,9,1,24,1,9,1,8,1,15,1,11,1,12,1,9,1,12,1,16,1,10,1,17,8,11,1,17,1,16,1,14,1,17,65,16,1,13,1,6,1,13,1,7,1,6,1,29,1,6,1,7,1,13,2,9,2,8,1,6,1,28,1,30,1,28,2,30,1,8,1,14,1,15,1,10,1,13,1,8,1,13,1,9,2,8,1,9,1,24,2,9,2,11,1,17,1,9,1,13,1,8,3,24,1,6,1,28,30,30,1,28,2,30,1,28,1,30,1,29,1,6,1,10,1,15,1,13,1,28,1,30,1,29,1,6,1,24,1,8,1,12,1,17,1,11,1,17,1,10,1,17,1,9,1,15,1,9,1,13,1,9,1,6,1,13,1,6,1,13,2,6,1,7,1,29,1,6,2,7,2,13,1,8,1,9,1,11,1,16,2,14,1,17,1,7,1,28,7,30,1,28,1,30,1,7,1,30,1,28,2,30,1,9,3,8,1,13,1,6,1,30,2,6,1,29,1,30,1,6,2,30,1,29,1,6,1,30,1,6,2,29,1,30,1,28,2,6,1,28,1,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,7,1,28,1,7,1,30,1,6,2,13,3,7,1,8,1,13,1,8,1,13,1,8,1,13,4,6,2,13,1,7,1,8,1,13,3,8,1,9,1,13,4,8,1,13,4,7,1,13,1,8,2,6,1,13,1,8,1,13,2,8,1,9,1,13,1,9,2,8,1,13,1,9,1,13,1,8,1,9,1,13,1,7,1,13,1,9,1,13,1,6,1,8,1,13,2,8,1,13,4,8,2,13,1,8,1,13,2,8,1,13,1,9,1,13,3,8,1,13,4,8,1,9,1,13,2,8,2,9,1,13,1,8,1,6,1,8,2,13,1,11,1,8,1,13,1,9,1,8,1,11,2,10,1,9,2,11,1,9,1,8,1,13,1,6,1,13,1,6,1,9,1,13,1,24,1,10,1,11,1,9,1,30,1,13,2,6,1,13,1,6,1,13,4,8,1,13,1,8,1,6,1,13,1,7,1,13,2,6,1,7,1,13,1,7,1,8,3,13,5,6,1,13,2,9,1,13,2,7,1,6,1,13,1,6,1,13,1,6,1,8,1,7,1,6,1,13,1,8,1,6,1,30,1,28,1,6,1,11,1,17,25,16,1,17,1,16,1,11,1,16,1,17,1,16,3,11,1,16,1,9,1,11,2,16,1,10,1,17,1,11,5,9,1,10,1,11,3,16,1,11,2,16,1,11,1,17,1,11,2,17,1,16,1,11,1,16,2,9,1,16,1,11,2,10,1,11,1,16,1,11,1,9,1,16,4,17,1,16,1,11,1,17,1,11,1,16,3,11,1,17,1,11,1,16,1,17,1,16,2,11,1,16,2,11,1,17,1,16,1,11,1,17,1,16,2,17,1,16,1,17,3,11,1,16,1,13,1,17,1,12,1,16,1,9,2,11,1,8,3,10,1,8,2,6,1,8,1,13,1,7,1,13,1,7,1,30,2,6,2,7,1,29,3,7,1,6,1,28,1,6,4,30,1,28,1,30,2,28,1,30,3,13,1,28,1,6,1,29,1,6,1,13,1,7,1,8,2,13,1,24,1,8,4,9,1,17,5,16,2,17,1,16,13,11,1,16,11,9,1,11,2,16,1,11,1,10,1,9,1,16,1,9,1,11,1,16,1,9,1,17,1,11,9,10,1,9,1,16,1,9,5,8,1,11,2,9,2,12,1,13,1,9,2,11,1,8,1,11,2,13,1,9,2,16,1,13,1,11,1,9,1,11,1,9,3,8,5,9,2,11,1,9,7,8,2,9,1,13,1,9,2,8,1,13,1,9,3,13,1,11,1,13,1,9,1,10,1,13,1,9,2,8,1,13,1,8,1,9,3,13,1,10,1,9,3,11,1,9,5,8,1,10,2,9,6,8,1,13,1,9,1,13,5,8,1,13,1,8,1,9,6,13,1,8,2,9,2,13,2,9,6,10,1,9,4,13,1,6,1,9,1,13,1,8,1,17,1,10,2,11,1,9,4,11,1,9,3,11,1,16,2,11,2,16,1,10,1,11,1,17,13,11,1,17,4,16,1,17,3,9,1,11,1,16,1,11,1,12,1,11,1,9,2,8,1,9,1,10,1,8,1,11,1,9,1,10,1,9,1,17,1,9,1,16,1,9,1,11,1,16,6,11,1,16,1,10,1,16,1,11,1,16,2,17,1,11,1,17,1,16,1,17,6,11,1,9,1,11,1,10,1,11,1,10,1,9,1,11,2,16,1,11,2,9,1,8,1,11,2,16,2,11,1,17,1,16,3,17,1,11,1,9,1,16,3,17,32,16,2,9,5,10,1,11,1,16,1,11,1,17,1,16,1,17,1,16,5,17,1,16,1,11,1,16,8,17,2,16,1,17,1,16,2,11,2,9,1,13,4,6,1,13,1,9,1,13,1,9,1,13,1,11,1,16,7,17,1,16,8,17,2,16,3,9,1,16,1,6,1,28,1,6,1,30,1,6,1,28,1,30,1,6,1,30,8,28,1,30,3,28,2,30,2,28,1,30,1,28,1,30,10,28,1,30,1,28,2,30,1,28,2,30,1,28,8,30,1,28,1,6,1,28,1,30,1,29,1,28,3,6,1,28,1,6,1,30,3,6,1,30,1,28,1,6,1,30,2,6,1,28,1,30,1,28,1,6,1,30,2,13,1,6,5,30,2,6,1,28,1,6,1,28,1,30,1,28,1,30,3,29,2,28,1,30,1,29,1,6,1,28,1,30,3,28,2,30,1,13,1,6,1,30,1,28,1,30,9,28,1,30,1,6,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,5,13,1,30,1,29,1,6,1,28,1,30,1,28,2,30,9,29,1,6,2,13,8,30,2,6,1,30,2,28,1,6,1,30,4,6,2,30,1,6,1,30,1,7,1,30,2,6,1,30,1,6,1,30,5,6,1,30,1,6,1,30,1,29,1,28,1,6,1,29,1,6,1,30,1,28,3,30,2,6,1,30,2,28,1,30,1,28,2,30,3,28,1,30,1,28,2,30,2,28,3,30,8,28,3,30,1,6,1,28,1,30,2,29,1,28,1,30,1,28,1,6,1,28,3,30,2,28,1,30,2,28,1,30,6,29,1,30,2,28,1,30,1,29,1,30,1,29,1,6,3,28,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,7,30,1,28,1,6,2,30,1,28,1,30,2,29,1,6,1,30,2,13,3,30,1,6,1,13,1,6,1,13,1,6,1,29,1,6,2,29,2,30,2,6,1,30,4,29,1,6,1,30,1,13,1,7,1,6,1,7,1,13,2,6,1,13,2,30,1,29,1,30,2,6,2,30,1,29,2,30,2,6,1,30,1,6,1,29,1,6,3,30,1,6,1,30,1,6,1,30,2,6,1,7,1,6,2,29,1,13,1,7,1,13,3,6,1,13,1,6,1,13,1,7,1,13,1,6,2,13,1,6,1,30,2,28,2,17,2,11,2,10,1,9,1,10,1,9,1,10,3,11,1,9,1,13,1,24,1,9,1,24,1,9,1,24,1,8,2,9,1,8,1,24,1,8,3,9,1,10,1,9,2,11,1,8,2,24,1,9,1,13,1,8,1,24,1,13,2,8,2,24,1,8,1,13,4,7,3,13,1,7,1,6,1,29,1,8,1,6,1,28,1,29,1,6,2,30,1,6,3,7,2,13,2,7,1,8,1,29,1,7,1,28,36,7,1,6,1,30,1,13,1,7,1,6,2,7,1,13,1,8,1,7,1,6,1,29,1,7,1,29,1,6,2,7,1,8,1,13,1,8,1,12,1,17,4,12,1,9,1,10,2,9,2,10,1,11,1,9,3,10,1,9,1,11,1,9,5,8,1,9,1,8,1,9,2,11,2,9,6,8,1,24,2,9,1,13,1,8,1,13,1,9,1,8,1,9,1,24,1,8,1,24,2,8,2,24,3,8,1,7,1,24,1,8,1,9,1,13,1,9,1,13,1,12,1,13,1,8,1,13,1,24,1,8,3,13,1,12,1,13,1,9,4,11,1,10,1,9,1,24,2,8,1,10,1,8,1,13,1,9,1,24,1,8,1,13,1,8,1,10,1,24,1,13,1,24,2,6,1,10,1,9,1,8,2,24,4,8,1,24,1,10,1,24,1,17,1,8,1,24,3,13,1,8,1,24,1,13,1,10,1,29,1,8,2,24,4,12,1,17,1,8,1,12,1,17,1,12,2,11,1,17,2,9,2,17,1,12,1,24,1,10,1,12,1,8,1,13,1,7,2,6,1,29,2,6,1,28,1,6,1,28,1,6,2,29,1,30,1,29,1,6,1,30,1,6,1,28,1,30,2,6,1,30,1,27,2,29,1,6,1,30,1,27,1,28,1,25,1,7,1,6,1,7,1,29,1,8,1,25,1,7,1,8,1,24,1,8,1,24,1,10,1,24,1,12,1,9,1,10,2,24,1,7,1,6,3,29,1,30,1,28,1,30,1,29,1,30,1,28,1,6,1,28,1,30,1,28,2,30,4,28,2,27,1,29,1,27,2,29,1,27,1,30,1,6,1,25,2,30,1,7,1,6,1,25,1,7,2,6,1,24,1,8,1,7,1,24,1,8,1,13,1,7,1,8,1,13,1,7,2,8,1,24,1,8,3,13,3,6,1,8,1,13,1,8,1,10,1,9,1,11,1,12,1,10,1,9,1,12,1,9,2,10,1,17,1,10,1,8,1,9,1,13,1,9,1,12,1,9,1,11,1,9,1,12,2,11,1,9,1,17,1,9,1,12,1,9,1,17,1,12,2,11,1,8,1,12,1,9,1,11,1,9,1,17,2,11,1,17,3,11,1,17,1,11,1,17,5,12,1,17,1,16,1,17,5,12,3,17,1,12,1,17,6,12,2,11,1,10,1,17,1,10,1,9,1,11,1,24,1,13,1,29,1,28,2,30,1,13,2,9,1,8,1,10,1,24,1,8,1,12,3,9,1,12,1,13,2,7,1,13,1,7,1,28,9,13,2,30,1,6,1,7,1,6,1,7,1,29,1,13,1,7,1,13,2,9,1,13,2,9,1,13,1,9,1,13,1,10,1,8,2,9,2,8,1,12,1,8,1,10,1,13,1,9,1,8,1,13,1,8,1,10,1,13,1,9,2,8,1,11,1,13,1,8,1,9,1,11,1,9,1,10,1,12,1,10,2,9,2,13,2,7,1,13,1,8,1,6,1,30,2,28,1,6,1,28,1,8,1,9,2,12,1,10,1,12,1,17,2,11,1,9,5,8,1,10,1,13,1,9,1,8,1,9,1,13,6,8,1,13,1,8,1,13,3,8,1,13,4,8,1,13,1,8,2,13,1,9,3,13,1,24,1,9,1,8,1,9,3,10,1,9,1,13,1,9,1,16,6,9,1,16,1,9,1,11,1,9,1,16,3,11,2,16,3,17,1,11,4,9,1,8,1,9,1,11,1,9,3,11,1,9,2,11,1,9,4,11,1,9,1,11,2,8,1,11,1,9,1,16,1,11,1,9,2,11,2,9,2,11,1,9,1,11,3,9,2,11,1,9,5,11,1,10,1,9,3,16,1,13,1,16,1,9,3,16,1,9,1,11,2,9,1,11,1,9,1,16,1,11,3,9,1,16,1,9,1,11,2,9,1,16,1,9,2,11,1,9,3,11,1,13,1,16,1,9,4,16,1,10,1,9,1,11,1,9,3,11,1,9,2,16,1,11,2,16,1,17,1,16,1,11,1,9,1,11,1,13,1,28,15,12,1,17,1,11,1,17,2,12,1,13,3,7,1,6,2,30,4,28,1,29,1,6,1,30,1,13,1,7,1,8,1,24,1,9,1,8,1,13,1,24,1,9,1,30,1,28,2,30,1,28,3,6,1,8,1,7,1,28,1,30,1,28,36,13,1,8,1,13,1,30,1,28,2,11,1,16,2,12,1,16,1,17,2,12,1,9,1,8,1,6,1,29,1,6,1,7,2,13,1,24,1,6,1,13,1,12,1,17,8,12,1,9,2,12,1,17,1,16,1,17,2,9,1,11,2,12,1,10,1,8,1,9,4,13,1,6,1,24,1,8,3,13,2,9,2,24,1,9,1,17,1,24,1,10,1,9,1,13,1,9,1,24,1,17,2,10,1,9,1,8,1,24,1,13,1,10,1,17,1,12,1,8,1,9,1,8,3,11,1,9,2,10,2,24,1,6,2,8,1,7,1,8,2,10,1,8,2,13,1,9,1,13,1,7,1,24,2,}, {8,1,6,1,7,1,24,1,6,1,15,1,9,1,24,1,10,1,24,1,12,1,10,1,24,1,13,1,7,1,24,1,8,2,6,1,8,1,24,1,17,1,11,1,17,2,13,1,10,1,11,1,17,4,10,1,12,1,8,1,24,1,8,1,9,2,24,1,8,1,24,1,8,1,9,1,8,1,24,1,9,1,8,1,12,1,8,1,24,1,12,1,9,1,7,1,24,1,17,1,12,1,9,1,15,2,8,1,13,1,11,1,9,3,12,1,9,1,16,1,17,7,16,3,12,1,17,8,12,1,17,57,9,1,8,1,29,1,6,7,8,2,24,1,8,1,7,1,30,2,28,3,6,1,14,1,17,1,15,1,8,2,13,1,6,2,9,1,13,1,10,1,24,1,9,1,8,1,24,1,11,1,8,1,24,1,13,2,8,2,29,1,28,36,6,3,24,1,7,1,28,1,29,1,30,1,28,1,6,1,8,1,12,2,16,2,9,1,16,2,17,1,15,1,14,1,10,1,30,1,6,1,13,1,8,1,13,2,6,1,30,2,6,2,13,3,10,1,17,1,12,1,17,3,13,1,28,6,30,1,28,1,30,1,28,1,30,2,28,3,8,3,13,1,6,2,28,1,30,8,6,4,30,2,28,1,30,1,28,2,30,2,28,2,30,2,29,1,28,2,29,2,28,1,30,1,29,1,30,1,28,1,29,2,13,1,30,1,6,1,7,2,6,1,7,1,13,4,8,1,24,1,13,1,8,1,13,2,9,1,7,1,8,2,13,2,9,1,6,1,8,1,13,4,6,1,13,3,9,1,8,1,7,1,9,1,8,2,13,1,9,1,8,1,10,1,12,2,13,2,10,1,8,1,13,1,6,1,9,1,13,5,8,1,13,2,9,2,13,1,6,1,7,1,13,1,8,1,9,1,13,2,9,1,13,1,8,1,13,3,8,1,13,1,8,1,13,2,6,1,13,4,8,1,9,2,8,1,13,1,8,4,9,2,8,1,9,1,8,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,13,5,24,2,8,1,9,3,6,1,30,1,13,1,6,1,13,3,6,1,13,1,8,3,13,1,6,1,29,1,8,2,6,1,13,2,29,2,9,1,13,1,8,1,13,1,7,1,8,2,24,1,6,1,13,1,8,1,13,2,7,1,13,1,6,1,7,1,13,1,8,1,7,1,13,2,7,2,6,3,28,1,6,1,16,1,17,23,16,10,11,3,9,2,10,1,11,1,16,1,11,1,10,1,11,4,9,2,11,3,17,1,16,2,11,1,16,4,11,1,17,1,11,1,16,3,11,1,16,7,11,1,16,2,11,1,16,5,17,1,16,1,17,1,16,2,17,1,11,1,16,3,11,1,16,1,9,1,16,3,17,1,11,1,16,3,17,4,11,1,16,1,17,1,9,1,17,1,9,2,8,1,9,1,10,1,9,2,24,1,8,1,13,2,6,1,28,1,6,3,8,1,6,2,29,2,7,1,30,1,29,1,28,1,30,1,6,1,29,1,30,1,13,1,6,1,29,1,28,1,29,1,30,1,29,1,30,3,6,2,29,1,7,1,6,1,13,1,7,1,8,2,7,1,13,1,9,1,13,3,11,1,17,4,16,4,17,2,16,7,11,1,16,5,11,1,17,1,16,2,17,2,16,4,9,2,16,1,9,1,11,1,16,1,10,1,16,1,11,2,16,1,9,2,11,1,9,1,11,2,16,1,10,1,11,3,9,1,10,1,16,1,8,1,11,1,9,3,10,2,9,1,11,1,9,5,13,1,8,1,13,1,11,1,9,1,11,1,9,5,13,1,9,3,11,1,10,1,9,1,8,1,11,1,9,1,8,2,9,1,8,1,9,3,13,1,9,1,8,1,9,1,7,1,9,2,13,1,9,1,13,1,9,3,13,1,9,5,8,2,9,1,13,1,9,1,8,1,13,1,9,1,8,2,13,1,16,1,9,2,11,1,9,1,11,1,9,2,10,1,11,1,9,3,13,1,9,2,8,1,9,3,13,1,9,1,8,1,9,1,13,1,8,1,9,1,8,1,11,1,9,1,13,1,8,1,9,2,16,1,8,3,9,6,10,1,9,2,11,1,9,2,8,1,13,1,8,1,9,3,17,1,9,3,11,1,9,1,16,1,10,1,9,1,11,1,9,1,11,2,10,1,9,1,16,2,9,1,16,1,17,17,16,1,11,1,16,2,17,1,10,1,11,3,9,1,11,1,17,1,12,1,11,1,9,1,10,1,9,2,8,1,9,3,11,1,9,2,11,5,16,4,17,1,16,1,17,2,9,1,17,1,16,1,17,1,11,1,16,1,17,1,16,1,17,4,9,2,11,1,9,1,13,1,9,9,10,1,16,2,11,1,10,1,16,1,17,2,11,1,17,1,11,2,10,1,17,2,16,1,17,32,16,2,9,2,11,1,9,2,10,1,9,1,16,2,17,4,16,1,17,5,11,1,16,10,17,1,16,5,9,2,13,2,9,1,13,3,9,1,13,2,9,2,11,1,16,2,17,1,16,5,17,1,16,3,17,1,16,3,17,1,16,1,11,2,16,1,6,1,28,1,6,1,30,4,28,2,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,6,1,29,1,30,1,28,1,30,2,28,2,30,5,28,2,29,2,28,1,30,1,28,4,29,1,28,1,30,1,28,2,30,1,28,5,30,3,28,4,30,2,6,5,30,1,6,3,30,2,6,1,13,1,30,1,13,2,6,2,30,1,6,1,30,2,6,1,30,3,6,1,30,3,29,1,28,1,29,1,28,1,30,5,28,1,29,1,30,2,28,1,30,2,13,1,6,1,28,1,29,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,29,1,30,1,28,2,30,2,29,1,28,1,6,1,28,2,30,3,6,1,30,1,28,1,6,1,30,4,9,1,30,2,6,3,28,1,30,3,6,1,30,5,29,1,30,1,6,1,30,1,6,2,13,3,30,1,7,1,6,1,30,2,6,1,30,3,6,1,30,4,6,1,7,1,30,1,6,1,30,1,29,1,6,1,13,1,6,1,30,1,6,1,28,1,30,2,28,1,30,4,6,1,30,4,28,1,30,2,28,1,6,1,30,2,28,3,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,2,6,1,30,2,28,1,30,1,28,1,30,4,6,1,30,5,29,1,28,1,30,4,28,2,30,2,28,1,30,5,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,1,6,2,30,1,6,1,28,1,6,2,29,1,30,1,29,1,30,2,6,1,30,1,6,3,13,1,6,2,13,1,30,1,13,1,30,3,6,1,30,1,28,1,6,1,30,1,6,1,29,2,13,3,30,1,7,1,30,1,13,1,29,1,13,1,28,1,6,1,30,1,6,2,30,1,6,2,30,2,6,1,29,1,30,1,6,5,30,1,13,1,9,2,13,1,30,1,29,1,30,1,6,3,30,1,6,1,30,1,29,1,6,16,7,1,6,1,13,2,6,2,13,1,30,1,13,2,29,1,13,1,6,2,30,2,6,4,28,2,6,1,17,1,16,1,11,3,9,2,10,2,9,1,8,1,11,1,9,1,8,1,24,1,9,2,8,1,9,1,13,1,12,1,8,1,9,1,13,1,9,1,8,1,9,3,8,1,9,1,11,1,9,1,8,1,9,1,8,1,10,1,8,2,13,2,24,1,7,1,24,1,13,1,8,1,13,3,8,1,13,2,6,2,7,1,6,2,7,1,6,1,7,1,6,1,7,1,6,1,13,1,8,1,6,2,13,1,6,1,7,2,8,1,6,1,28,36,30,1,6,1,30,1,7,2,13,1,6,1,7,3,8,1,7,2,29,1,30,1,13,2,30,1,8,1,13,1,8,2,17,5,10,2,9,2,12,1,9,1,24,1,9,1,10,2,11,1,10,1,9,1,12,1,9,1,11,2,9,1,13,1,9,2,11,1,9,2,8,1,10,1,13,1,9,1,11,2,8,1,10,1,8,3,9,1,24,1,13,1,24,1,13,1,24,1,13,1,8,1,13,1,8,3,24,2,9,1,24,1,8,2,13,3,8,1,13,2,8,1,13,1,9,3,8,4,12,1,17,2,9,1,12,2,9,1,12,1,9,1,10,1,17,1,8,1,9,1,13,2,9,1,8,3,24,1,8,1,24,3,13,1,8,1,24,1,8,1,24,1,12,1,10,1,13,1,24,2,8,1,10,1,24,1,8,3,24,3,8,1,24,1,10,1,8,1,24,1,13,1,24,2,8,1,24,1,10,1,12,1,13,1,12,1,10,1,17,1,12,1,24,1,12,2,9,1,12,1,11,1,9,1,10,1,17,1,12,1,9,1,24,1,8,1,7,1,25,1,6,1,29,2,6,1,29,1,28,1,7,1,6,1,29,1,30,1,29,1,30,1,6,1,28,1,29,3,30,2,28,1,29,2,30,2,29,3,26,1,6,1,25,1,7,1,8,1,24,1,6,1,8,1,7,1,24,1,8,1,10,1,8,1,24,1,12,1,8,1,24,1,12,1,24,1,8,1,6,1,29,2,6,1,29,1,30,1,28,6,30,1,28,1,30,1,28,6,29,1,28,2,29,2,28,1,29,2,27,3,29,1,30,1,25,1,29,1,25,1,7,2,13,1,7,1,24,2,13,1,24,2,8,2,24,1,9,2,12,1,9,1,13,1,7,2,13,2,8,1,13,1,7,1,10,2,12,1,9,2,17,1,11,1,9,2,10,2,12,1,8,1,9,1,11,1,10,1,8,1,17,2,8,1,17,2,12,1,11,1,17,1,12,5,17,1,10,1,11,1,12,1,9,2,11,1,12,1,10,2,17,1,11,1,10,1,17,2,11,2,12,1,10,1,12,1,17,8,11,1,17,1,12,3,17,4,12,1,17,1,12,2,10,1,11,2,10,1,9,1,12,1,9,1,13,1,7,1,30,1,28,2,30,1,7,1,8,2,11,1,9,1,10,1,12,3,10,1,9,2,13,1,6,1,13,1,28,14,6,1,29,1,6,2,28,1,6,1,29,1,13,1,29,1,6,1,8,1,13,2,8,1,13,1,9,1,8,3,9,2,10,1,9,1,11,1,12,1,10,1,9,1,13,1,9,1,13,1,8,1,9,1,10,1,8,1,9,1,8,1,9,2,24,2,17,1,10,2,11,2,9,1,13,1,8,1,13,3,30,3,6,1,28,1,30,1,13,1,10,1,11,2,10,1,11,2,12,1,10,1,11,1,12,1,11,3,10,2,9,1,8,1,10,1,9,3,8,1,9,1,13,1,8,2,13,1,8,2,13,1,9,1,13,3,8,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,9,2,8,1,13,2,8,1,13,1,8,1,9,1,13,1,12,1,9,2,13,1,17,1,16,1,11,2,16,2,11,1,16,2,11,1,16,1,11,3,16,2,11,2,16,2,17,1,16,1,11,1,16,1,11,1,16,1,10,1,9,2,11,1,16,1,11,1,9,1,11,1,10,1,9,3,16,1,9,2,13,1,9,2,16,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,2,11,1,9,10,13,1,9,3,11,1,16,1,11,1,16,1,11,1,9,1,11,4,16,1,10,1,9,3,11,3,9,1,11,2,9,1,16,1,11,2,9,1,11,1,9,1,11,1,8,1,11,1,9,2,11,1,9,2,16,1,9,3,11,2,9,2,16,2,9,1,11,1,9,3,11,2,16,1,11,3,9,1,13,1,28,14,30,1,10,1,17,1,24,1,12,1,17,1,12,1,7,1,8,1,6,3,29,1,7,1,28,1,6,1,28,1,30,1,29,2,6,1,8,1,13,1,6,1,8,1,24,2,13,1,8,1,13,1,28,7,7,1,10,1,28,1,6,1,30,2,28,34,29,1,9,1,24,1,29,1,6,1,30,1,28,1,10,1,14,1,17,1,11,1,12,1,9,1,10,1,12,1,9,3,13,1,6,1,13,1,7,1,13,2,6,1,7,1,13,1,12,1,17,5,12,1,17,1,11,1,10,1,9,2,11,1,17,3,12,1,9,1,12,1,11,1,10,1,24,1,8,1,9,1,13,2,9,2,24,2,8,1,9,1,12,1,7,1,8,1,9,1,10,2,12,1,17,1,24,3,8,2,9,1,17,2,8,1,13,2,9,1,11,1,17,1,12,1,11,1,9,1,13,2,8,1,24,1,13,1,8,1,17,1,11,1,9,1,13,1,9,1,13,1,8,1,24,1,10,1,15,1,7,2,8,1,24,1,11,1,13,1,8,2,}, {13,1,7,1,29,1,13,1,8,1,10,1,24,1,12,1,17,1,12,1,15,1,17,1,13,1,7,1,8,1,13,1,9,1,8,1,13,3,17,4,8,1,11,1,9,1,17,4,12,1,17,1,9,2,24,1,15,1,9,1,8,1,24,1,9,1,13,2,24,2,8,1,24,1,15,1,9,1,17,1,24,1,6,1,17,1,11,1,9,1,24,1,12,1,24,1,9,1,12,1,11,1,10,1,9,1,10,2,16,1,12,2,17,7,16,2,10,1,17,8,16,1,17,1,12,2,17,9,16,1,17,44,16,1,9,1,6,3,30,1,29,2,30,1,13,1,6,1,13,1,8,1,9,1,8,1,30,1,28,3,30,1,29,1,6,1,15,1,9,2,8,1,13,1,8,2,12,2,10,1,24,1,9,2,8,1,16,1,14,1,9,2,7,1,13,2,24,1,6,1,28,35,30,1,28,1,29,1,13,1,15,1,13,1,30,1,28,3,7,1,13,1,11,1,17,1,12,2,16,1,11,1,12,1,17,1,11,1,15,1,6,1,13,4,8,1,6,1,29,1,30,1,7,1,6,1,7,1,13,2,10,1,12,1,17,3,16,1,17,1,8,1,28,6,29,1,28,1,30,1,28,2,30,1,28,3,13,3,30,1,13,1,29,1,28,1,29,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,28,2,6,3,30,2,28,2,29,1,30,2,29,1,30,1,6,1,30,5,29,2,6,3,30,8,29,1,6,1,13,2,6,1,8,1,9,1,7,1,12,1,9,2,24,1,13,2,9,1,8,1,29,1,13,1,6,1,13,4,9,1,13,3,16,1,8,1,13,3,9,2,13,1,9,3,8,1,13,1,10,1,9,1,8,1,9,1,13,2,6,1,13,1,6,1,13,1,8,1,13,5,8,1,7,1,9,1,13,2,6,1,13,1,7,1,8,1,13,1,7,1,6,1,8,1,7,1,13,5,9,1,13,1,8,2,13,1,8,1,9,1,8,1,10,1,11,1,8,2,9,1,8,1,13,1,9,3,8,1,16,1,13,1,9,1,8,1,12,1,9,1,8,1,9,2,7,1,13,1,7,2,13,1,8,1,13,1,8,2,17,1,13,2,28,1,13,2,8,1,6,1,13,2,6,2,13,1,6,1,8,1,13,2,6,1,8,1,30,1,7,1,6,1,29,1,13,1,6,1,13,1,8,1,13,3,6,1,13,1,29,1,13,1,6,1,8,1,13,2,29,1,13,2,7,1,6,1,8,1,13,2,7,1,8,1,6,1,28,1,30,1,28,1,30,1,16,1,17,20,16,2,17,1,16,3,11,1,16,7,11,2,9,2,11,1,9,2,16,1,9,1,11,1,8,1,16,1,9,1,11,1,16,1,11,1,9,1,16,1,9,1,16,1,10,1,16,3,11,1,10,1,17,1,11,1,17,1,11,2,16,1,11,1,16,1,11,2,16,1,10,1,16,1,11,2,16,3,9,1,11,2,16,4,17,1,16,2,11,1,16,2,11,1,16,4,17,1,16,2,11,1,16,2,17,1,16,2,17,3,11,1,16,1,12,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,2,13,3,6,1,8,2,6,1,29,1,30,1,6,1,29,1,7,1,30,1,29,1,7,1,6,1,28,1,30,1,29,1,30,3,7,1,30,1,28,1,7,1,28,2,30,1,28,3,30,1,28,1,29,1,6,1,7,1,30,1,6,1,13,5,9,1,13,2,10,1,9,1,16,1,17,2,16,4,11,1,16,9,11,1,16,7,17,1,16,3,10,1,11,1,9,2,16,1,9,1,11,1,16,1,11,3,9,1,11,5,9,1,11,2,16,1,9,1,16,1,11,1,10,1,9,2,11,1,9,1,16,1,9,1,10,1,9,1,8,1,9,1,11,1,9,2,11,1,9,4,13,1,9,2,11,1,9,3,11,1,9,3,11,1,9,6,13,1,9,1,10,1,9,1,8,1,9,3,8,1,9,5,13,1,9,1,13,1,9,2,13,1,11,1,8,2,9,2,13,1,9,1,13,1,8,1,13,1,8,1,9,1,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,6,10,1,9,2,11,1,9,1,11,1,9,1,16,1,9,2,11,1,13,1,8,1,9,1,13,7,9,2,8,1,9,2,13,1,10,1,13,1,8,1,9,1,8,1,9,1,13,1,11,1,9,2,10,2,9,2,10,1,9,1,8,1,9,2,11,1,9,2,11,2,9,2,8,1,9,2,16,3,11,1,9,1,11,1,8,1,16,2,17,2,16,2,11,1,17,1,16,1,8,1,17,1,16,1,9,1,16,1,17,1,11,2,16,2,10,1,17,2,11,1,17,2,16,2,9,1,11,1,8,1,12,1,8,1,9,3,10,1,9,1,11,1,9,1,10,1,8,1,9,1,10,1,11,1,10,1,11,1,9,1,10,1,11,2,16,1,11,1,16,6,17,1,16,1,17,1,16,1,17,1,16,2,11,2,16,1,17,2,16,1,9,2,11,1,9,2,13,1,8,2,13,1,9,1,13,1,9,1,16,1,12,1,9,1,11,1,9,1,16,4,17,3,16,3,11,1,16,3,17,2,16,1,17,31,11,1,16,1,9,6,8,1,16,1,17,1,11,1,16,2,17,1,16,1,17,4,16,2,11,1,16,2,11,1,16,4,11,1,16,6,11,1,9,2,13,8,9,3,11,1,16,5,17,2,16,3,17,2,16,6,9,2,28,2,6,2,30,9,29,1,30,4,28,2,30,2,28,1,30,4,29,1,30,4,28,1,29,1,30,1,28,1,30,3,28,2,30,3,28,1,30,1,28,1,30,2,28,3,30,1,28,1,30,2,28,1,30,3,28,1,6,1,28,1,29,1,6,1,30,1,6,1,13,2,6,1,30,1,6,4,30,2,13,1,6,1,13,1,6,3,29,1,6,1,30,1,28,1,30,1,6,1,29,2,30,3,6,1,30,1,29,1,30,2,28,3,6,1,30,2,28,1,13,1,28,1,30,1,13,1,30,1,6,1,29,1,6,1,29,1,30,2,6,1,30,3,28,1,30,2,6,1,30,4,6,1,30,1,28,2,30,2,28,1,6,4,30,1,6,2,30,1,9,1,6,1,29,1,6,1,30,1,28,1,6,1,30,3,28,1,30,1,6,1,28,1,6,1,30,1,6,1,30,3,6,1,7,1,13,1,29,1,13,1,30,1,6,1,28,1,30,1,6,2,30,2,29,1,30,1,28,1,30,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,28,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,28,1,30,12,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,5,6,3,30,4,28,1,30,3,28,3,6,1,28,2,7,1,28,1,30,1,6,1,30,3,28,1,29,1,30,8,28,1,30,3,28,1,30,1,28,1,30,1,6,2,30,1,28,1,6,1,30,4,28,1,30,1,6,1,30,2,6,2,30,1,6,3,30,1,7,1,6,2,30,1,6,1,30,1,6,1,30,1,6,2,30,3,28,1,6,1,28,1,30,1,13,3,30,1,28,1,6,1,30,1,7,1,29,1,30,1,6,1,29,1,30,3,6,2,30,4,6,1,30,1,7,1,30,1,6,2,30,1,6,1,13,1,8,1,13,1,7,1,6,1,30,3,6,1,29,1,6,1,13,1,30,1,29,1,30,1,6,1,30,1,29,1,6,3,30,2,6,2,30,1,6,5,13,1,30,1,7,1,6,2,13,1,7,1,6,1,13,1,6,3,30,1,6,1,13,3,6,2,28,2,17,2,11,1,17,1,9,1,12,1,9,5,11,1,8,3,9,1,13,1,10,1,8,1,10,2,8,3,24,1,8,6,10,1,24,1,8,1,9,1,8,1,13,1,8,3,24,3,13,1,24,1,8,1,13,1,7,4,6,6,30,1,29,1,30,1,29,1,6,2,7,1,6,1,7,1,13,1,7,1,13,3,8,1,29,1,28,37,30,2,29,1,30,1,7,1,29,1,25,2,8,3,25,1,7,1,6,1,28,1,29,1,7,2,13,2,24,1,11,1,17,5,9,2,8,1,11,1,10,1,8,1,9,3,17,1,8,1,10,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,9,3,13,1,11,2,10,1,9,2,24,1,9,1,12,1,13,1,8,1,9,2,13,1,8,2,13,1,6,1,9,1,8,4,24,1,8,1,24,1,13,1,9,1,13,1,24,1,9,1,13,1,8,3,9,1,8,1,11,1,9,1,11,1,9,1,8,1,9,1,17,2,12,5,17,1,9,1,17,1,9,1,10,1,9,3,10,1,8,2,12,1,24,1,8,3,13,1,24,1,8,2,24,1,8,1,24,1,25,1,24,5,12,2,8,1,24,3,10,1,8,1,10,2,24,2,10,1,13,1,24,2,7,1,24,1,10,1,8,1,24,1,8,1,12,1,24,1,12,1,10,1,17,1,12,1,10,1,9,1,17,2,8,1,10,1,24,1,9,1,12,2,24,1,13,1,8,1,6,1,25,1,28,1,29,1,28,1,6,1,30,1,29,1,6,1,29,1,28,1,30,1,28,1,29,1,28,2,7,1,30,2,29,3,28,1,6,1,28,2,6,1,29,1,28,1,25,1,7,1,25,1,29,1,7,1,25,2,7,1,6,1,8,1,13,1,24,2,12,1,10,1,12,1,9,1,12,1,24,1,29,1,6,1,29,1,30,1,28,17,30,1,28,3,30,2,29,1,28,1,6,1,29,1,28,1,30,1,6,1,28,1,29,1,7,1,30,1,7,2,8,1,24,1,8,1,13,1,10,1,24,2,9,1,10,1,24,1,13,1,12,2,8,1,10,1,8,1,13,2,9,2,11,1,10,1,12,1,10,1,9,1,10,1,12,1,9,1,17,1,8,1,10,1,8,1,17,1,24,1,12,1,8,1,9,1,10,2,9,1,24,1,17,1,10,2,9,1,10,2,17,1,12,2,17,1,12,1,17,2,8,1,17,1,8,2,10,1,9,1,10,1,11,1,17,4,11,1,17,3,11,1,17,11,11,1,17,7,12,2,17,1,10,1,12,1,11,1,10,1,11,1,9,1,13,1,28,2,30,1,28,1,8,1,13,1,9,2,11,1,12,1,10,2,9,1,24,1,9,2,30,3,28,16,6,1,30,1,28,4,30,1,6,1,13,1,6,1,7,1,8,1,13,1,8,1,9,1,10,1,9,5,10,1,8,1,24,2,9,4,8,5,9,2,8,1,24,2,8,1,9,1,24,1,8,1,24,1,9,1,8,1,13,3,28,5,6,1,8,1,17,1,11,1,12,5,11,1,12,1,11,2,10,1,11,1,9,1,10,1,11,1,10,1,9,6,11,1,10,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,24,1,8,1,13,1,8,2,13,1,9,2,10,1,8,2,9,2,8,1,9,4,8,1,9,1,13,1,9,1,10,1,9,1,10,1,9,1,11,2,16,2,11,1,16,4,11,3,16,1,9,1,16,1,11,1,16,3,11,1,16,3,11,2,10,1,11,1,16,1,11,1,16,1,11,1,16,1,9,1,16,1,9,4,11,2,9,2,16,1,9,2,11,1,9,1,11,2,16,2,11,1,9,1,11,2,9,1,13,1,11,1,9,1,11,1,9,2,11,1,9,3,11,1,9,1,11,1,16,1,9,1,11,2,9,1,11,2,9,1,8,1,9,2,10,1,9,1,11,2,9,1,11,1,9,1,16,1,9,1,11,2,16,1,11,1,16,2,11,1,9,1,16,1,9,1,16,2,11,3,10,1,9,1,10,1,8,1,11,2,16,1,9,1,11,1,8,2,9,6,16,1,11,1,16,1,11,3,9,1,6,1,28,14,30,1,9,1,11,3,12,1,9,1,8,1,7,1,8,1,13,2,29,1,6,2,30,1,6,2,28,1,29,1,6,1,29,1,13,1,10,1,24,1,9,1,10,1,8,1,10,1,13,1,30,1,28,6,30,1,15,1,29,1,6,1,29,1,28,36,13,1,8,1,13,1,30,1,28,1,6,1,8,1,14,1,12,1,17,1,12,1,17,1,9,1,24,1,9,2,24,1,13,1,8,1,6,2,7,1,6,1,7,2,13,1,8,2,12,1,17,4,10,1,11,1,10,1,9,2,17,1,10,1,17,3,8,1,9,1,17,1,10,1,9,2,24,3,9,1,13,1,24,1,7,1,15,1,8,3,9,1,8,1,9,1,24,1,15,1,24,1,13,1,8,2,9,1,13,1,12,2,9,1,8,3,11,1,10,1,17,1,9,1,24,1,8,1,9,1,13,2,8,1,13,1,8,1,17,2,8,1,6,1,8,1,13,1,6,1,7,1,9,1,10,1,13,2,24,1,8,3,9,2,}, {8,2,7,1,6,1,8,1,9,1,10,1,9,1,10,2,15,1,12,1,13,1,29,1,12,1,30,1,13,1,8,1,13,1,8,1,10,1,12,1,17,2,12,1,9,3,17,4,12,1,9,1,24,1,9,1,17,1,10,1,13,1,24,1,8,1,10,1,13,1,24,1,12,1,9,1,17,1,24,2,17,1,8,1,15,1,8,1,9,2,10,1,9,1,24,1,9,2,24,1,9,1,8,1,9,1,16,1,10,1,17,1,11,1,17,19,11,1,17,6,12,1,17,5,12,1,17,44,16,1,9,1,7,1,29,1,6,2,28,1,29,1,28,2,6,1,7,1,9,1,10,1,13,1,29,1,30,1,28,4,7,1,15,1,9,1,12,1,11,1,29,1,13,2,24,1,15,1,8,1,9,1,8,1,24,1,13,1,17,2,11,1,8,2,13,1,29,1,8,1,6,1,28,36,30,1,28,1,24,1,15,1,8,1,28,3,30,2,8,1,12,1,17,1,12,1,16,1,9,1,16,1,17,1,9,3,13,1,6,3,8,1,13,2,6,1,29,1,6,1,7,1,6,1,8,1,24,1,15,1,17,1,12,1,17,1,12,1,17,2,9,1,28,10,30,1,28,4,13,3,30,1,28,3,6,1,28,1,29,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,13,1,28,1,6,1,28,1,29,1,28,2,30,1,28,1,29,1,30,5,28,1,30,3,6,1,28,3,6,1,30,1,28,1,13,1,30,4,6,1,30,2,6,2,8,2,13,1,11,1,8,2,9,1,13,1,9,1,8,2,13,2,7,1,13,2,8,1,13,3,10,1,13,1,9,1,8,1,9,1,10,1,9,1,8,2,9,6,8,3,9,1,8,1,13,1,8,1,13,3,7,1,13,1,9,1,6,1,13,1,30,1,13,1,9,1,6,2,13,4,6,1,8,2,13,1,7,2,9,1,13,1,8,1,7,1,9,1,13,1,7,2,8,2,9,1,13,3,9,1,24,1,13,1,9,1,8,1,13,1,9,2,13,1,9,3,10,1,9,1,8,1,9,1,8,2,7,2,8,1,29,1,13,1,8,1,13,2,8,1,10,1,16,1,9,1,13,1,29,1,8,1,6,1,13,3,6,1,13,1,8,1,13,1,8,1,6,2,8,1,6,2,13,2,6,3,13,2,6,1,7,2,13,2,8,1,13,2,7,1,8,2,13,1,8,1,13,1,7,1,13,3,8,1,13,4,6,1,29,2,6,1,16,1,17,18,16,6,10,1,11,1,16,2,11,1,16,1,11,3,16,1,9,2,11,1,16,1,9,1,10,1,9,1,11,3,10,1,11,1,9,2,11,1,10,1,11,2,17,1,16,2,10,1,16,1,11,1,9,1,16,2,11,1,16,1,11,1,16,1,11,1,16,3,11,4,17,1,16,2,10,1,17,2,16,1,11,1,16,2,11,1,17,1,11,3,17,1,16,3,11,1,16,7,17,1,16,2,17,1,16,1,17,3,16,1,11,1,17,1,8,2,11,2,13,1,8,1,9,1,24,1,9,1,13,3,8,1,7,1,6,2,8,1,6,1,30,1,6,3,30,1,29,1,28,1,29,2,6,1,13,1,6,1,30,2,29,1,28,1,30,1,28,1,30,2,28,2,29,1,30,2,29,1,30,1,29,1,7,1,6,1,13,4,8,2,9,2,13,1,9,1,16,1,11,1,17,1,16,4,17,1,16,10,11,1,16,8,11,2,9,1,11,1,16,1,9,1,11,2,10,1,11,4,16,1,11,2,16,1,9,2,11,1,9,1,16,1,9,1,11,3,8,1,9,1,11,1,13,1,9,2,10,1,9,3,8,3,9,3,11,1,9,5,11,1,9,1,16,1,9,1,11,2,9,2,11,1,9,1,11,1,9,1,11,1,9,4,10,1,13,1,11,1,13,1,8,1,13,1,9,1,10,1,9,1,8,2,13,1,9,1,11,1,13,1,8,1,9,1,13,1,8,1,13,1,8,2,9,1,11,1,9,1,8,1,9,9,8,1,9,2,8,2,9,1,13,1,11,1,9,1,16,1,9,4,11,1,9,1,16,1,8,1,9,1,7,1,9,4,13,3,9,4,8,1,10,1,9,1,13,1,9,1,13,1,8,2,9,3,8,1,9,5,17,1,9,1,11,1,9,1,13,1,9,1,13,1,8,1,9,1,17,1,9,3,10,1,9,2,11,1,16,1,11,3,9,1,13,1,16,1,17,2,11,2,16,1,11,1,17,1,9,1,16,1,17,1,10,1,9,1,10,1,12,1,17,1,9,1,17,1,11,1,17,4,12,1,11,1,17,1,11,1,10,1,16,1,9,1,16,1,13,1,9,4,16,1,11,1,8,1,10,1,13,1,11,1,9,2,10,1,11,2,8,1,9,1,11,1,16,2,9,1,16,2,10,1,17,1,11,2,16,1,17,2,9,1,8,1,11,1,9,1,11,1,17,3,11,1,16,1,11,1,9,1,11,1,8,1,9,2,16,1,9,4,17,1,9,1,11,1,9,1,17,1,9,1,17,2,11,1,10,1,16,2,17,1,11,4,16,1,17,1,16,1,17,34,9,4,11,1,24,1,8,1,9,1,11,1,9,1,12,1,11,3,16,1,11,1,16,1,17,3,11,1,16,3,11,2,16,2,11,2,16,7,11,1,9,2,13,9,9,2,11,1,16,6,17,3,16,2,17,2,16,4,13,1,17,1,30,1,28,1,30,2,6,1,30,10,28,2,30,2,28,2,30,2,28,2,30,1,28,3,30,1,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,2,30,2,28,1,30,1,28,6,30,4,28,2,30,2,28,1,30,3,6,2,13,1,6,1,30,1,29,1,13,1,30,1,29,1,6,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,4,29,2,6,1,30,7,6,3,30,1,29,1,30,1,29,1,6,1,30,4,6,1,28,1,30,3,28,1,6,1,28,1,30,2,6,1,28,1,30,5,28,1,30,2,29,1,30,2,29,1,13,2,30,1,29,2,6,1,30,2,29,1,30,3,6,2,29,1,6,1,30,4,6,1,29,1,6,3,13,1,6,1,30,1,6,1,30,1,6,3,30,2,29,2,6,4,30,1,6,1,30,2,6,1,29,1,13,1,6,1,29,1,6,3,30,1,6,1,30,2,13,1,30,1,6,1,29,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,28,1,30,1,28,3,30,3,29,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,30,2,28,1,6,1,28,1,30,2,28,2,30,5,28,1,30,1,28,2,30,9,28,1,30,1,28,1,30,4,29,1,28,1,30,2,6,1,30,2,28,1,30,1,28,2,30,4,28,1,30,4,28,1,30,3,6,1,28,1,30,1,6,2,30,3,28,1,30,1,28,1,6,1,28,1,29,1,30,4,7,1,13,2,28,1,30,1,6,2,30,2,13,1,6,1,30,3,6,1,30,2,6,1,28,1,30,2,28,1,30,1,6,3,30,1,6,1,29,1,6,1,7,1,9,2,28,1,30,7,6,1,30,1,6,1,7,1,6,1,29,1,6,3,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,3,13,2,6,2,13,1,6,1,7,1,6,1,13,1,6,2,7,1,6,2,30,1,13,1,6,4,28,1,13,1,17,1,9,1,12,1,11,4,8,1,11,1,9,3,24,1,8,1,9,1,8,1,24,1,13,1,9,1,8,1,11,1,10,1,8,1,24,1,9,1,8,1,24,1,8,1,9,1,11,1,13,1,8,1,24,1,9,1,24,1,8,2,9,1,8,1,13,1,8,2,7,1,8,1,7,1,8,1,13,4,7,2,29,3,13,1,28,1,29,1,30,1,6,1,30,1,6,1,7,1,13,1,6,1,13,3,7,1,24,1,7,1,6,1,28,38,30,1,28,1,30,1,7,2,29,1,8,1,13,1,8,1,25,4,7,1,6,1,30,1,7,1,29,1,6,1,8,1,13,1,24,1,17,5,10,1,9,1,10,1,11,2,9,1,8,1,11,1,9,1,10,1,9,6,8,1,9,1,10,1,13,1,10,1,11,1,9,1,12,2,9,2,10,1,9,1,10,1,8,2,9,2,8,1,7,1,13,1,24,1,13,2,24,1,8,1,13,1,8,2,9,1,8,1,13,1,8,2,9,2,8,1,24,1,10,1,24,2,9,1,10,1,9,1,8,1,13,1,9,1,24,1,10,1,12,2,17,1,12,2,10,1,12,1,17,1,10,2,11,1,9,1,10,2,13,1,8,1,13,1,10,1,13,1,24,4,8,1,24,2,13,1,24,2,12,1,24,4,10,1,24,1,8,1,24,1,8,1,24,2,12,1,7,1,24,1,8,2,24,1,12,1,8,1,6,1,24,1,13,1,24,1,13,1,24,1,29,1,24,1,8,1,13,1,17,1,9,1,24,1,12,1,17,1,24,1,11,1,12,2,24,1,9,1,10,1,24,1,9,1,17,1,10,1,13,1,24,1,6,2,30,1,6,1,29,2,30,2,28,2,30,4,28,1,30,1,28,1,30,2,28,1,29,1,28,1,30,1,7,1,30,1,28,1,30,1,29,1,25,1,29,1,6,1,29,1,7,1,6,1,7,1,25,1,6,1,13,1,8,1,24,1,8,1,24,1,12,1,24,2,12,1,24,1,10,1,6,1,28,1,29,1,30,1,28,5,30,1,28,11,29,1,28,1,30,1,29,1,28,2,30,1,6,1,28,1,29,1,30,2,29,2,30,2,29,3,13,1,29,1,8,1,24,1,8,1,13,1,7,1,9,1,13,2,24,1,10,2,9,1,24,1,10,1,8,1,7,1,17,1,9,1,12,2,10,1,12,2,24,1,10,1,24,1,12,1,8,1,17,1,9,2,10,1,17,2,8,1,17,1,12,1,11,1,12,1,17,1,9,1,12,1,11,1,17,1,13,1,12,3,17,3,12,2,17,1,9,1,10,1,17,1,8,1,10,1,8,1,17,4,11,1,17,12,12,1,17,1,12,1,17,4,12,1,17,3,12,1,17,1,12,1,10,1,11,1,12,2,9,1,29,1,28,3,30,1,8,2,9,1,10,3,9,1,13,1,10,1,8,1,13,1,6,1,29,1,28,21,6,3,13,1,30,2,7,2,6,1,13,2,8,3,9,1,13,1,9,1,24,1,9,1,10,1,9,1,8,1,10,1,9,1,24,1,10,1,9,1,13,1,8,1,10,1,13,1,8,1,13,1,9,1,10,1,8,2,13,1,10,2,9,1,8,2,13,2,7,1,28,3,29,1,7,1,9,1,17,4,11,1,12,1,10,1,11,1,12,1,11,1,17,1,12,1,11,2,10,1,11,2,9,1,10,1,9,2,10,1,9,1,10,1,9,1,10,2,9,3,10,1,8,1,24,2,13,1,8,4,13,1,24,1,13,1,8,1,9,1,8,1,9,2,13,1,9,5,13,1,9,3,17,1,11,1,9,1,16,1,11,1,16,1,11,2,10,1,11,2,16,1,11,6,16,7,11,1,16,2,11,1,16,1,11,3,16,1,11,1,16,1,9,1,16,2,11,1,9,1,16,2,9,1,11,1,16,2,11,3,16,1,11,1,16,1,9,1,11,1,8,1,9,2,16,1,11,4,9,2,11,1,9,1,16,1,9,1,16,1,9,2,11,3,9,1,16,1,9,1,16,1,9,1,16,2,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,1,16,1,11,2,9,2,16,1,11,1,16,1,11,1,9,1,11,2,16,1,11,2,9,1,11,5,9,1,11,1,9,2,11,1,9,2,11,1,9,1,11,1,9,2,11,3,16,1,11,3,9,1,30,1,28,14,30,1,8,1,17,3,9,1,13,1,8,1,7,2,13,2,7,1,6,1,29,1,30,1,29,3,30,1,6,2,13,1,24,2,9,1,24,2,9,1,24,1,30,1,28,6,6,1,24,1,9,1,7,1,30,2,28,34,29,1,13,3,28,1,30,2,8,1,10,1,15,2,17,1,9,1,17,1,12,1,11,1,10,1,8,2,13,2,6,1,29,1,13,1,8,1,13,1,6,2,30,1,12,1,17,3,12,1,17,1,12,3,9,2,16,1,17,2,12,1,13,1,17,1,9,2,10,1,9,2,13,1,6,1,13,1,8,1,7,1,8,1,10,1,13,1,9,1,8,1,9,1,8,1,24,1,8,1,13,1,10,1,24,1,9,1,24,1,12,1,9,1,17,2,12,1,8,1,24,1,8,1,17,2,12,1,17,1,8,1,13,1,6,1,9,1,6,1,8,1,24,1,9,2,17,1,13,1,8,1,13,1,7,2,10,1,17,1,15,1,8,1,13,1,8,1,10,1,8,2,24,1,12,1,}, {8,2,13,1,7,1,9,2,12,1,15,1,10,1,17,1,9,1,10,1,8,3,7,1,8,2,13,1,8,2,16,2,14,1,12,1,10,1,9,2,12,1,17,4,10,1,15,1,9,1,14,2,8,1,24,1,9,1,12,1,13,1,9,2,8,1,24,1,10,1,24,1,14,1,9,1,12,1,24,3,10,1,12,1,8,1,9,2,8,1,12,1,14,1,9,2,17,1,15,2,17,19,12,1,17,5,12,1,17,1,10,1,17,48,16,1,8,2,13,1,7,1,30,1,29,1,30,2,29,1,28,2,6,1,13,1,12,1,13,1,30,2,28,4,7,1,12,1,17,1,15,3,10,1,12,1,9,1,11,1,24,2,8,1,17,1,9,1,16,2,12,1,13,1,7,1,13,1,7,1,9,1,7,1,28,32,30,1,28,3,13,1,6,1,24,1,15,1,12,1,28,1,30,2,28,2,8,1,17,1,12,1,16,1,11,2,12,1,16,1,10,1,12,1,10,1,8,1,6,1,29,1,13,1,6,2,13,1,28,1,6,3,13,1,6,1,8,1,9,1,24,1,9,1,11,1,17,3,10,1,28,4,30,2,28,4,6,1,29,1,28,3,13,1,29,1,7,1,28,1,6,1,30,1,29,1,6,1,30,3,6,1,29,1,6,2,28,1,13,1,7,1,29,1,28,1,6,1,30,2,6,1,30,1,28,4,6,1,30,1,29,1,28,1,30,1,28,1,30,2,7,1,6,1,30,1,28,3,6,1,29,1,6,1,30,1,28,1,30,3,6,1,29,1,28,1,13,1,6,1,13,2,7,1,13,1,8,1,9,1,13,3,8,2,13,2,8,2,13,1,8,2,9,1,13,1,6,1,13,1,6,1,8,1,9,1,13,1,11,1,9,1,8,1,13,1,9,4,13,2,8,1,13,2,9,1,13,3,6,1,13,3,6,1,13,1,29,1,13,1,29,1,13,1,8,1,13,2,8,1,7,1,13,1,8,1,13,3,7,1,13,1,9,1,13,5,8,1,9,1,8,2,9,2,13,2,9,1,13,1,9,3,8,1,9,1,10,1,9,1,12,1,16,1,9,1,13,1,7,1,6,3,7,1,8,1,7,1,8,2,9,1,8,1,12,1,9,2,8,1,30,1,8,1,6,1,7,1,13,2,8,2,13,1,7,1,13,2,6,1,8,1,7,1,24,1,7,1,13,1,30,1,13,2,8,1,7,1,6,1,13,4,6,1,13,1,7,1,13,1,6,1,8,1,13,1,6,1,13,1,8,1,13,2,6,1,9,1,8,1,13,1,6,1,13,1,29,1,6,1,30,1,7,1,16,1,17,14,16,2,17,2,16,5,11,3,16,1,11,3,16,2,11,2,10,1,11,2,9,1,11,1,9,2,16,1,11,4,9,1,11,2,16,1,11,1,10,1,16,1,17,1,16,1,11,1,16,1,11,3,9,1,11,1,16,1,11,1,16,1,9,1,16,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,17,1,11,1,16,1,8,1,17,1,16,3,11,1,10,1,11,1,10,1,16,1,17,1,16,1,11,2,16,1,11,1,16,1,11,1,16,1,17,1,11,1,17,1,16,1,17,1,16,3,17,4,11,2,9,1,12,1,9,1,11,1,9,1,12,1,13,1,10,1,9,1,7,1,24,1,8,1,24,1,6,1,8,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,29,1,6,3,7,1,28,1,6,2,30,1,28,1,7,1,28,2,29,2,30,1,28,1,30,1,28,1,30,1,29,1,6,2,13,1,7,1,8,1,13,3,9,1,13,1,8,1,13,1,9,3,17,1,11,1,9,1,16,1,11,1,16,5,17,1,16,6,11,1,16,2,17,1,16,4,11,2,9,1,11,1,9,1,11,1,9,1,11,1,10,1,9,2,11,1,9,2,11,3,16,1,11,1,16,1,10,1,9,1,11,2,16,1,9,1,11,2,9,2,11,1,9,2,11,1,9,4,10,1,11,1,9,5,10,1,9,7,11,1,10,1,9,1,16,1,10,1,9,1,11,1,8,1,11,1,9,1,8,1,11,1,8,2,13,1,9,2,8,4,9,1,8,1,13,1,8,1,9,1,13,1,9,1,8,3,13,1,8,2,9,8,13,1,10,1,8,2,10,1,8,1,13,2,9,2,13,1,8,2,9,3,11,1,10,1,9,7,13,1,9,3,13,2,8,2,9,4,13,1,9,2,8,2,9,1,13,1,9,2,8,2,9,1,13,1,9,2,8,1,9,1,8,1,10,1,9,1,13,1,9,1,11,1,13,1,9,4,11,1,13,1,11,1,9,1,11,1,16,1,11,3,9,1,17,1,11,1,16,1,17,3,9,1,11,3,10,1,12,1,11,3,9,1,12,1,17,1,9,1,17,1,11,2,12,1,17,2,11,1,10,1,17,1,10,1,9,1,8,1,10,1,8,1,9,2,8,1,9,2,10,1,9,7,11,1,7,1,13,2,9,2,11,1,17,1,16,1,17,1,9,1,17,1,16,1,11,1,17,3,16,1,17,7,16,1,17,1,11,1,16,1,9,1,8,2,11,1,13,2,17,1,11,1,16,2,17,1,16,1,11,2,17,2,16,1,11,1,17,1,16,1,17,1,9,1,17,1,9,1,10,1,9,1,17,1,16,2,17,18,16,1,17,17,11,1,9,1,11,1,9,1,8,1,13,1,8,4,9,3,10,1,11,1,17,4,16,2,11,1,16,5,9,1,11,2,9,1,11,1,16,6,9,2,13,4,6,1,13,5,9,1,11,1,16,4,17,1,16,5,17,1,16,5,9,1,17,1,6,1,30,3,6,1,28,1,30,1,28,1,30,6,28,1,30,1,28,1,30,3,28,2,29,1,28,1,30,5,28,1,30,2,28,2,30,6,28,1,30,1,6,1,30,4,28,1,30,7,28,1,6,1,29,1,28,1,6,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,3,30,1,6,1,30,2,6,2,13,1,6,1,13,1,30,1,28,1,30,1,6,4,30,3,29,1,6,1,30,2,29,1,30,3,6,1,30,1,28,2,30,1,6,1,30,2,28,1,6,2,30,1,29,1,6,1,30,1,28,1,6,1,30,1,6,1,30,3,6,1,28,1,30,5,29,1,30,3,6,1,28,1,29,1,30,1,6,1,30,1,29,1,28,1,7,1,28,1,29,1,13,2,6,1,30,2,29,1,30,1,28,1,30,4,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,28,1,30,1,6,4,28,1,30,1,6,5,30,1,6,1,30,1,13,1,30,2,6,2,13,1,30,1,6,3,30,2,6,1,30,1,6,1,30,1,6,2,29,1,7,1,30,1,6,2,30,1,6,1,30,1,6,1,28,1,6,1,30,4,28,1,30,1,28,3,30,1,28,1,30,3,6,2,30,2,28,1,6,1,28,1,29,1,28,1,30,2,28,1,30,1,6,1,28,1,30,5,28,1,30,8,6,1,30,3,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,6,1,30,2,6,1,30,2,28,1,30,1,6,1,30,1,28,1,30,6,28,2,6,1,30,7,28,1,30,2,28,2,8,1,6,2,30,5,13,1,30,1,6,1,30,1,6,1,30,1,28,1,30,2,28,1,30,4,6,1,30,2,13,1,6,3,28,1,30,1,10,1,7,1,28,1,29,1,30,4,6,18,7,1,30,1,13,1,6,1,13,2,30,1,6,2,13,1,6,5,13,1,30,1,6,1,29,1,6,1,13,1,28,2,6,1,17,2,11,1,9,1,11,1,10,1,9,1,10,1,9,4,8,1,9,1,8,2,9,1,8,4,7,1,8,1,9,2,10,1,8,1,9,2,8,1,24,3,8,2,13,1,8,2,13,1,8,2,7,1,8,2,13,3,7,1,8,1,6,2,13,1,7,1,6,2,29,1,6,1,29,2,30,1,29,1,30,1,6,1,29,1,13,1,8,2,9,1,24,1,13,1,6,1,28,10,30,1,28,30,30,1,28,1,6,4,8,1,24,1,8,2,25,1,8,2,13,1,8,1,6,2,29,1,7,1,8,1,17,6,10,1,11,3,9,1,11,1,9,1,11,1,12,1,8,2,9,1,10,1,11,1,8,1,17,1,9,1,13,1,11,1,9,1,10,1,9,4,10,1,12,1,9,1,8,2,10,1,9,1,8,2,13,1,8,1,13,1,24,2,8,1,13,1,8,1,24,1,13,1,10,1,9,1,8,1,24,1,9,1,8,3,13,1,24,2,10,1,13,1,12,1,9,1,13,1,11,1,17,1,12,1,17,1,10,1,17,2,12,1,17,1,10,1,17,1,12,2,13,1,9,1,12,1,8,1,10,2,24,1,9,1,8,1,24,1,9,1,24,1,8,1,9,1,13,1,10,1,8,2,6,1,24,1,30,1,6,1,12,1,24,1,12,1,24,1,10,1,24,2,8,1,24,2,13,1,24,3,6,1,24,2,8,1,24,1,8,1,13,1,7,1,24,1,6,1,24,1,7,2,24,1,12,2,24,1,12,7,9,1,11,1,12,1,8,1,12,1,10,1,9,1,24,2,6,2,29,1,6,1,30,1,29,1,6,1,29,1,6,1,28,2,29,1,28,1,30,1,29,3,30,2,6,1,28,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,29,1,6,1,29,1,25,1,7,1,25,1,7,1,8,1,6,1,8,1,24,1,8,2,13,1,24,1,12,3,13,1,24,1,25,1,28,21,30,1,28,3,30,1,28,2,29,1,30,1,6,1,30,2,28,1,27,1,30,1,6,1,29,1,25,1,7,2,6,1,29,2,13,1,7,1,8,2,24,1,13,1,8,1,7,1,9,1,24,2,11,1,10,1,8,1,12,1,17,1,11,1,12,2,11,1,12,1,9,1,12,1,17,1,9,1,11,1,12,2,24,1,12,2,17,1,24,1,12,3,10,1,12,1,10,1,12,1,10,1,8,1,12,3,9,1,17,1,12,1,17,1,12,1,10,1,12,2,11,1,12,1,11,1,9,1,17,5,12,1,17,9,16,1,17,12,11,1,12,1,11,1,12,1,11,1,10,1,8,1,30,1,28,3,30,1,13,1,8,1,10,4,9,1,13,1,8,1,13,1,6,1,28,33,30,2,6,1,13,1,7,3,13,1,7,1,13,2,8,1,9,1,10,1,13,1,9,2,13,1,9,2,7,1,9,2,24,1,8,1,13,1,8,2,6,1,13,1,10,1,13,1,28,1,29,1,6,1,29,1,28,1,30,2,8,1,11,1,17,5,11,1,9,1,11,1,12,2,11,2,12,1,11,3,10,1,9,1,10,1,9,3,10,1,8,1,9,1,10,1,9,2,11,1,9,2,8,1,9,2,8,1,9,1,8,1,9,1,13,1,8,2,13,1,8,2,13,1,24,1,13,1,24,2,8,6,9,2,13,1,9,2,11,1,8,1,11,5,16,2,11,4,9,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,4,11,1,16,1,9,1,16,3,11,2,16,1,10,1,11,2,10,1,11,1,16,2,11,1,17,1,11,3,17,1,11,1,16,1,10,1,16,2,10,1,11,4,9,3,11,3,9,1,16,1,11,2,16,2,10,1,11,3,10,1,16,1,11,4,10,1,16,1,11,4,9,1,16,1,9,1,16,1,11,2,16,1,11,1,16,4,9,1,11,2,16,1,11,2,9,1,11,1,9,1,16,1,11,1,9,2,16,1,11,1,16,1,13,1,9,1,11,2,9,1,11,1,9,1,11,2,16,2,11,1,16,1,11,2,9,1,28,16,13,1,12,1,10,1,11,1,9,2,24,2,8,1,7,1,13,1,30,1,13,1,28,1,29,1,6,2,7,1,30,1,6,2,13,1,9,2,12,2,24,1,9,1,13,1,28,7,7,1,8,2,7,1,13,1,30,1,28,34,6,1,13,1,9,1,29,1,28,1,6,1,30,1,13,1,15,2,14,1,12,1,17,1,12,1,9,1,12,1,10,1,12,1,11,1,10,1,8,1,13,1,6,1,29,1,30,1,28,1,7,1,29,1,6,1,13,2,17,4,10,1,11,1,9,1,10,1,9,1,17,4,16,1,17,1,16,1,12,1,8,1,6,1,9,1,13,1,9,1,8,1,24,1,9,1,8,1,10,1,24,2,9,2,24,1,8,1,12,1,24,2,10,1,9,1,24,1,10,2,17,2,10,1,13,1,24,1,13,2,17,4,24,2,8,1,13,3,9,2,17,1,8,1,13,2,7,2,24,1,11,1,17,1,6,1,13,3,9,1,12,1,10,1,8,1,}, {9,1,7,1,6,1,13,2,15,1,24,1,10,1,17,2,12,1,17,1,13,1,8,4,13,1,8,3,11,1,17,2,12,1,13,1,10,1,9,1,8,1,14,1,17,2,10,1,11,1,14,2,15,1,9,1,24,1,8,1,15,1,9,1,7,1,10,1,9,1,10,1,12,2,24,1,15,1,24,1,9,1,10,1,24,1,9,2,24,1,9,2,14,2,9,1,14,1,16,1,24,1,17,1,15,1,10,1,17,24,12,1,8,1,13,1,10,1,17,48,9,1,24,2,13,1,7,1,6,1,30,1,28,2,30,1,28,1,6,2,8,2,6,1,30,1,28,1,30,1,28,3,7,1,9,2,24,1,9,1,15,1,8,1,12,1,13,1,9,1,24,1,9,2,8,1,9,1,24,1,17,1,8,2,13,1,6,1,13,1,9,1,29,1,28,30,30,1,28,2,29,1,30,1,29,1,6,1,29,1,6,1,15,1,17,1,6,1,28,2,29,1,28,1,29,1,15,1,17,2,16,1,12,2,17,1,12,2,8,1,13,1,6,1,29,1,7,1,6,1,7,1,6,2,29,1,6,3,24,1,13,1,9,2,11,1,16,2,17,2,9,1,28,16,13,1,6,1,28,1,7,1,30,1,29,1,28,1,30,1,6,1,7,1,6,4,7,1,6,2,28,1,6,1,28,2,6,1,28,1,30,2,6,2,28,3,6,1,30,3,28,1,30,1,29,1,28,1,30,1,6,1,30,1,28,1,30,3,29,5,6,1,28,2,6,2,30,1,29,1,13,1,6,1,30,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,13,2,8,1,13,1,9,1,13,2,10,1,13,1,8,1,9,1,10,1,13,1,8,1,9,1,13,1,8,2,9,2,13,1,9,1,13,3,9,1,13,3,6,1,13,2,6,1,13,5,6,1,13,1,8,1,13,2,29,1,8,1,13,1,8,1,13,1,8,1,9,1,13,4,10,1,8,3,9,2,8,2,9,1,12,1,6,1,8,1,11,1,13,1,9,1,8,1,17,1,9,1,8,1,30,1,9,1,13,1,30,1,13,1,8,2,6,1,13,2,6,1,9,1,8,1,12,1,10,1,9,1,28,1,13,1,7,1,6,1,13,2,30,1,9,1,8,1,13,1,29,3,13,1,30,1,6,1,8,2,13,3,29,1,8,1,6,1,13,1,28,1,6,1,13,3,6,1,30,1,13,1,7,1,13,1,7,1,13,2,7,2,8,1,13,1,8,2,24,1,13,1,8,1,6,2,30,1,6,1,17,16,16,3,11,2,17,1,11,1,16,2,11,1,16,1,9,1,16,1,17,1,9,1,10,1,11,2,16,1,11,3,9,1,16,1,9,1,10,1,9,1,11,2,16,1,11,1,16,1,9,1,16,4,17,1,16,3,17,1,16,2,10,1,16,1,11,2,16,1,11,1,16,1,11,1,9,2,11,2,9,1,16,3,11,1,16,1,11,1,9,1,16,2,11,1,16,1,11,4,16,1,11,4,9,1,16,1,11,3,16,6,17,1,16,1,17,3,11,2,17,1,12,1,16,1,11,1,8,1,11,2,8,2,10,1,8,1,24,1,8,1,7,2,8,1,6,1,29,1,7,1,29,1,30,1,13,1,6,1,30,1,29,3,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,29,2,6,1,13,4,24,1,8,1,13,1,8,1,13,1,9,1,6,1,9,1,11,1,17,2,9,1,11,1,16,7,17,1,16,1,17,1,16,2,17,1,16,3,11,1,16,2,11,2,16,1,10,1,9,1,11,1,9,4,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,9,2,11,2,9,1,11,2,16,1,11,2,9,2,13,1,9,1,13,1,9,1,11,2,9,3,10,1,13,1,9,1,11,2,9,1,10,1,9,2,11,1,9,1,16,1,10,1,9,1,11,1,16,1,9,2,16,1,11,1,9,1,8,1,11,1,9,1,8,1,11,1,9,1,13,2,8,1,9,1,13,1,9,2,8,1,9,2,8,1,9,2,8,1,13,1,8,2,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,13,1,10,1,9,2,8,1,9,1,13,1,8,6,9,2,8,1,11,1,9,1,11,1,9,3,11,1,13,1,9,3,13,1,9,4,11,1,13,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,8,3,7,1,9,1,8,2,9,3,10,1,9,1,13,1,9,5,8,1,16,1,9,1,8,1,9,1,11,4,16,1,17,1,16,2,17,3,8,1,11,2,8,1,11,2,9,1,16,1,12,1,17,1,16,1,11,1,17,1,16,1,12,1,17,2,16,1,12,1,17,2,16,1,9,2,11,1,9,1,10,1,17,1,10,1,9,5,8,1,9,3,11,1,9,2,10,1,11,2,9,1,8,1,11,1,9,2,16,3,9,2,11,1,16,3,11,2,17,4,16,1,17,2,16,1,17,3,8,1,17,1,9,1,11,2,8,1,16,1,10,1,11,1,17,3,16,1,17,1,16,1,17,1,10,1,17,1,16,5,17,2,9,2,17,3,16,1,17,1,16,2,17,35,9,2,13,1,10,1,9,1,10,1,9,1,13,1,9,1,10,1,8,1,13,1,10,1,16,1,17,3,16,3,11,2,16,1,11,1,9,1,11,1,9,1,11,1,9,3,11,3,16,2,11,1,16,1,11,1,9,1,13,7,9,1,13,2,11,2,16,2,11,1,16,2,17,3,16,7,11,1,16,1,13,1,28,1,6,1,30,3,6,1,30,9,28,1,30,1,28,1,30,2,28,2,30,2,6,1,28,2,30,2,6,1,30,2,6,2,30,2,28,1,30,3,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,2,28,2,30,7,28,1,30,2,6,1,29,2,30,1,13,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,6,1,28,1,6,2,28,1,30,1,28,1,6,1,30,8,29,1,28,1,30,1,6,1,28,1,6,1,30,4,28,1,30,2,6,1,30,3,28,1,30,1,6,2,30,1,28,1,30,3,6,3,30,1,28,1,6,1,30,2,6,1,30,7,29,1,30,4,6,1,13,1,8,1,28,1,30,1,29,1,6,1,30,1,6,1,30,4,28,2,30,8,29,1,30,1,28,2,30,1,6,1,28,1,6,1,30,1,7,1,6,2,30,7,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,13,1,6,2,30,1,6,8,28,1,13,1,30,6,28,1,30,5,28,1,30,1,28,1,30,4,6,1,28,1,30,4,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,28,1,30,3,28,1,30,1,6,1,30,1,29,2,28,1,30,6,29,1,6,1,28,1,30,1,6,1,30,2,6,1,30,2,6,5,30,3,28,1,30,1,6,1,30,1,6,2,28,2,30,1,6,1,30,2,28,1,30,6,29,1,28,1,30,2,6,1,28,1,29,1,30,1,28,1,30,1,8,1,13,1,30,1,13,1,30,1,6,2,30,1,7,1,30,1,28,1,30,1,28,1,30,4,6,1,28,1,30,2,28,1,30,2,6,1,28,1,6,1,29,1,30,2,8,1,9,1,7,1,6,1,30,3,29,1,30,1,6,2,30,1,6,4,30,1,6,3,30,1,7,1,6,4,30,1,6,7,30,1,6,1,28,1,6,2,30,1,29,1,30,1,6,1,29,1,6,3,28,3,16,1,11,1,10,2,11,1,9,1,10,1,9,3,10,1,9,3,8,3,24,1,8,1,13,1,24,1,9,3,10,1,24,4,8,1,24,4,8,1,24,1,9,1,24,1,8,2,13,1,8,1,24,1,8,2,13,2,8,1,13,2,6,1,24,1,8,1,6,4,7,1,28,1,6,1,30,1,6,1,7,2,13,1,7,1,13,1,8,1,9,1,13,1,7,1,28,1,30,1,28,6,30,1,28,32,13,1,28,3,13,1,8,1,6,2,8,1,6,1,25,3,13,1,8,1,7,3,8,1,24,1,13,1,17,6,11,1,9,2,10,1,9,2,11,2,9,2,12,1,11,1,9,3,12,1,9,1,10,1,9,1,11,2,8,1,9,1,13,1,9,1,10,1,9,1,24,2,8,2,9,3,8,1,9,1,13,1,9,2,8,1,13,1,24,1,8,3,9,1,24,1,9,1,10,1,9,1,13,1,6,1,8,1,9,1,10,1,9,1,10,1,8,1,10,1,24,1,17,2,12,1,9,2,17,1,10,1,12,2,17,1,12,1,9,2,12,1,9,2,12,1,8,1,12,1,8,3,24,1,13,1,8,1,6,1,8,1,7,1,24,1,6,1,8,1,13,1,8,1,24,1,8,2,24,2,10,1,8,1,24,2,8,4,24,1,10,1,7,1,24,1,8,1,24,3,8,1,24,1,7,1,6,1,8,1,13,1,24,1,13,1,8,1,24,2,9,1,12,1,10,1,9,1,10,3,17,1,12,1,9,1,17,1,12,1,17,1,24,1,10,1,8,2,13,1,6,2,29,2,30,2,28,1,29,1,30,3,28,1,30,1,29,1,6,1,28,4,30,1,29,1,28,1,29,1,28,1,27,1,30,1,29,1,30,1,28,2,25,1,6,2,25,2,8,1,7,1,8,1,24,4,10,1,8,1,10,1,12,1,8,1,6,1,28,21,30,1,28,1,30,1,28,2,30,1,29,1,28,2,29,1,30,1,28,2,27,1,28,1,7,1,25,1,28,1,6,1,30,1,13,1,30,1,6,1,13,2,8,1,7,1,8,1,13,1,8,2,10,1,13,1,8,1,24,1,13,2,24,1,12,1,9,1,11,1,9,1,8,1,12,1,9,1,17,1,9,1,12,1,24,1,12,1,24,1,12,1,10,1,24,1,10,1,9,1,10,1,9,1,24,1,11,1,17,2,12,1,11,2,17,1,12,1,10,1,9,1,10,1,12,1,17,2,12,3,17,1,12,1,9,1,17,4,11,1,17,23,12,4,9,1,17,1,13,1,28,3,30,1,13,2,10,1,9,1,11,1,9,2,8,2,13,1,6,2,28,36,30,1,28,1,30,2,6,1,30,2,28,1,7,1,6,1,28,1,7,1,13,1,7,2,13,3,7,1,13,1,7,1,8,1,13,2,7,2,8,1,9,1,8,1,13,1,28,2,30,3,6,1,8,1,9,1,24,1,8,1,13,1,8,1,17,1,11,1,9,2,8,1,17,7,11,2,9,1,10,1,9,1,8,1,9,4,10,1,9,5,10,1,8,1,9,1,8,2,9,1,13,2,8,1,13,3,8,1,13,2,6,1,13,3,8,1,13,2,9,1,13,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,13,1,6,1,11,1,9,2,16,1,9,1,16,1,11,1,9,1,16,2,11,1,16,1,11,2,16,2,11,1,16,1,17,1,16,2,11,1,16,1,11,1,16,1,11,1,16,3,11,1,16,1,11,2,16,1,11,1,16,2,11,1,9,1,11,3,16,4,11,1,16,3,11,1,16,1,11,3,17,1,16,1,11,4,16,1,11,1,9,1,11,1,9,1,11,1,10,1,11,3,16,1,10,1,11,1,9,2,16,1,10,1,9,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,16,3,11,1,9,1,11,2,9,1,16,2,9,1,16,1,11,1,9,1,16,1,11,4,9,1,11,1,9,1,11,4,16,1,11,2,16,1,10,1,16,1,11,1,16,1,11,2,9,1,13,1,28,3,6,1,28,12,9,1,17,1,12,1,9,1,17,1,24,1,8,3,7,1,13,1,7,1,29,1,28,1,29,2,30,1,6,5,24,4,8,2,13,1,30,1,28,6,6,1,10,1,13,1,29,1,28,1,30,1,28,34,29,1,8,2,13,1,30,2,6,1,24,1,10,1,15,1,10,1,14,1,15,1,9,3,11,1,10,1,12,2,11,1,8,1,13,1,7,1,30,1,6,1,29,1,30,1,29,1,6,2,11,1,24,1,14,1,9,1,15,1,11,1,10,1,11,1,17,1,11,1,17,2,9,2,10,1,12,1,13,1,12,1,24,2,9,1,13,1,24,1,8,1,9,1,8,2,13,2,8,1,9,1,8,3,12,1,9,1,8,1,24,1,8,1,9,1,11,1,17,1,12,1,17,1,8,1,13,3,10,1,14,1,17,2,15,1,12,1,24,1,8,1,24,1,9,1,17,1,10,2,9,1,6,1,8,4,17,2,8,1,29,1,8,2,11,1,24,1,12,1,9,1,}, {13,4,8,1,11,1,9,1,17,1,15,1,14,1,10,1,15,1,11,1,10,1,8,1,9,1,8,2,13,1,8,2,14,3,15,1,9,3,17,1,14,1,17,1,11,1,12,1,9,1,14,1,12,1,15,1,9,1,12,1,24,1,8,2,9,2,8,1,9,1,24,2,10,1,9,1,10,1,15,2,14,1,15,2,9,1,14,1,15,1,14,3,16,1,14,1,17,1,15,1,17,1,15,1,17,16,12,1,17,1,10,1,9,2,8,1,24,1,8,1,29,1,28,1,8,1,9,1,17,46,11,1,16,1,9,1,13,2,7,1,6,1,28,1,30,1,28,3,30,1,28,2,8,1,9,1,13,1,6,1,28,5,7,1,9,1,15,1,10,1,12,1,10,3,9,1,10,1,9,1,10,2,8,2,9,1,17,1,12,1,8,1,13,1,6,2,8,1,6,1,28,33,6,1,30,2,6,2,7,1,15,1,17,1,28,1,29,1,28,3,29,1,17,4,16,1,9,1,12,1,11,1,10,1,24,1,6,1,30,1,29,1,6,1,30,2,13,1,30,1,29,1,13,2,6,1,13,1,8,1,13,1,24,1,17,5,9,1,30,1,28,8,29,1,28,5,6,1,13,1,30,2,6,1,28,1,13,1,30,1,6,1,7,1,30,1,6,1,30,1,6,1,28,1,6,1,28,2,30,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,28,7,30,2,29,1,30,1,28,1,29,1,6,1,28,3,30,2,29,1,6,2,30,3,6,1,28,1,30,2,29,1,6,1,28,1,6,1,28,1,30,1,13,1,30,1,13,1,8,2,13,1,10,1,8,1,13,1,8,2,6,1,13,3,8,1,6,1,13,1,9,1,7,1,11,1,13,1,9,2,11,1,9,2,13,1,8,2,9,1,8,1,9,2,8,1,6,1,8,2,30,1,8,1,13,2,30,1,13,1,28,1,30,1,8,1,13,1,8,1,6,1,8,1,13,4,29,1,9,1,13,1,8,2,13,1,9,1,13,1,9,1,6,1,9,1,10,1,8,1,9,1,11,1,8,1,9,2,8,2,11,1,9,3,8,1,11,2,9,2,13,2,6,1,30,1,13,1,7,1,13,4,8,1,11,1,8,1,9,1,11,1,9,1,10,1,7,1,13,1,29,1,7,2,8,1,13,3,24,1,13,1,7,1,13,2,8,1,29,1,6,1,13,1,24,1,6,1,13,1,6,1,13,1,8,1,6,1,13,1,6,1,13,1,8,1,13,1,6,3,13,2,6,2,8,1,29,1,13,1,8,1,6,1,8,1,9,1,8,1,13,2,6,2,28,1,6,1,16,1,17,13,16,8,11,1,16,1,17,1,11,1,16,1,11,1,16,6,17,1,9,1,11,1,10,1,11,2,9,1,16,1,9,1,10,1,9,1,10,1,11,1,9,1,16,1,9,1,11,2,16,2,17,1,16,2,11,1,16,1,11,2,16,1,11,2,9,1,11,1,9,1,16,1,17,1,16,1,9,1,11,1,9,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,9,1,17,1,16,1,11,2,16,1,11,3,9,1,16,2,11,1,16,2,11,1,16,1,10,1,17,2,16,1,11,1,16,2,17,4,16,1,17,1,16,1,9,2,12,1,9,2,8,1,9,2,8,2,24,2,13,1,6,1,8,1,29,1,13,1,6,1,7,1,28,1,6,1,29,1,28,1,29,1,28,1,29,1,30,2,6,1,29,1,28,2,30,1,29,1,30,1,29,1,28,1,30,2,29,1,30,2,6,5,7,1,30,1,9,1,6,1,13,2,8,1,6,1,13,1,9,1,13,1,9,2,16,1,17,1,11,1,16,1,9,1,17,1,16,2,17,1,11,1,16,1,17,1,16,3,17,1,16,1,17,1,16,2,11,2,9,1,11,1,16,1,13,1,11,1,16,1,9,1,16,1,11,3,9,2,11,1,9,1,11,3,10,1,11,2,16,1,9,2,10,1,11,2,9,2,11,1,9,1,11,2,9,1,11,2,9,3,11,1,9,2,8,1,9,1,11,1,8,2,9,1,13,1,9,2,10,1,9,1,11,2,9,1,11,1,16,1,13,1,11,1,13,1,11,1,9,2,11,1,9,2,8,1,9,4,11,1,8,1,13,1,9,1,13,2,9,1,13,1,12,1,9,2,8,1,9,2,11,1,9,2,13,1,9,2,8,3,13,1,9,1,8,1,13,1,9,2,11,1,13,1,8,1,13,1,9,2,8,2,9,1,13,1,9,4,11,1,13,1,10,1,8,1,9,6,13,1,9,1,8,1,9,1,11,1,9,2,10,1,8,1,9,1,13,1,8,1,13,2,9,1,13,1,8,1,13,3,9,1,13,1,9,4,8,1,11,1,13,1,9,1,8,1,16,1,9,1,11,1,13,1,9,1,11,1,16,1,11,1,16,1,17,1,16,1,11,1,17,4,16,1,17,2,16,1,17,1,16,1,17,1,10,1,11,1,16,1,17,3,12,1,17,5,11,2,9,1,11,1,9,3,8,1,9,1,10,1,9,1,10,1,8,2,9,2,8,2,13,1,9,3,10,1,13,1,12,1,9,2,11,1,9,2,8,1,10,1,17,1,9,1,10,1,16,1,17,1,9,3,16,1,17,9,16,1,17,1,16,2,11,1,10,1,16,1,9,2,16,4,17,1,11,2,17,1,16,2,11,1,17,2,16,1,17,2,16,3,9,1,13,1,17,1,16,3,17,2,16,1,17,3,16,1,17,5,16,5,17,2,16,1,17,3,16,1,17,13,16,1,17,1,11,1,9,1,13,1,8,1,11,1,9,1,17,1,12,1,11,2,16,1,17,1,16,2,17,1,16,3,17,2,16,2,9,3,11,1,9,2,11,1,13,1,9,1,11,2,16,2,11,3,9,1,13,4,6,1,13,1,6,1,13,3,9,3,11,1,16,6,17,1,16,6,11,1,17,1,6,1,30,5,28,2,30,3,28,2,30,2,28,3,30,1,28,1,30,2,28,1,30,2,6,1,30,5,6,2,30,1,6,1,30,2,6,1,30,1,6,1,28,1,6,1,30,4,6,1,30,1,28,1,30,3,6,1,30,1,6,2,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,4,13,1,30,1,6,1,13,2,7,1,6,1,13,2,6,3,30,6,28,1,30,3,28,2,30,8,28,1,30,3,28,1,30,1,6,1,7,1,6,2,28,1,6,1,29,1,30,2,29,1,30,3,6,2,30,1,28,1,6,2,30,1,6,1,30,1,6,1,30,1,7,1,30,1,6,1,30,1,6,1,29,1,30,2,6,1,30,1,13,1,30,1,13,2,6,3,30,1,6,1,30,1,6,1,28,1,30,1,28,2,30,1,6,1,28,1,6,1,30,2,29,1,30,1,29,1,30,1,6,2,30,1,6,1,30,2,6,2,30,1,6,1,29,1,13,1,30,1,28,1,30,1,6,2,29,1,6,3,30,1,6,1,30,1,6,4,30,3,6,2,29,1,13,1,30,3,6,1,28,1,30,1,6,3,28,1,30,2,28,1,30,4,29,2,28,1,6,1,28,4,30,1,6,1,30,1,29,1,30,1,7,1,6,1,29,1,6,2,30,6,28,1,30,4,29,1,30,2,28,1,30,2,6,1,30,1,29,1,30,5,6,2,30,1,6,1,29,1,6,4,30,1,6,1,13,1,6,2,29,1,6,1,30,1,6,2,30,2,6,3,28,1,6,1,30,4,28,1,29,1,28,2,30,3,28,3,29,1,6,1,30,3,28,1,13,3,28,1,30,1,6,1,30,1,29,1,28,2,30,1,29,1,28,3,30,3,28,1,30,2,28,1,30,1,7,1,30,2,7,1,13,1,30,2,28,1,13,3,30,2,29,1,30,4,6,1,30,1,29,1,6,4,29,1,13,1,6,1,29,1,30,1,6,1,30,1,6,3,30,2,6,2,30,1,28,2,30,3,28,1,30,2,6,4,30,1,6,1,28,2,30,1,11,2,10,1,9,1,11,2,9,2,10,2,11,1,9,3,8,2,9,2,13,1,8,4,10,1,24,1,9,2,24,4,10,1,8,2,24,1,8,3,24,2,8,3,24,1,8,2,13,1,8,2,6,1,13,1,7,1,13,1,7,1,6,2,29,1,30,1,28,1,30,1,29,1,6,2,13,1,7,1,8,1,24,2,13,2,30,1,28,1,30,1,28,1,30,1,28,38,29,1,28,3,6,2,7,1,6,1,8,2,25,1,8,2,7,1,24,1,10,1,8,1,24,2,8,1,12,1,17,5,11,2,9,2,10,1,9,2,11,1,9,1,11,1,9,3,10,1,8,2,9,1,24,1,9,1,10,1,12,1,8,1,11,1,24,2,9,1,12,1,9,2,24,1,8,1,13,1,9,1,8,1,9,1,13,1,10,1,24,1,10,1,8,5,10,1,8,1,10,1,9,4,10,1,8,1,10,1,9,1,24,1,8,1,24,1,12,1,9,1,12,1,9,1,17,5,12,2,17,2,12,1,9,1,10,1,8,1,12,1,8,2,10,2,24,4,8,1,24,1,8,1,24,1,13,1,8,1,24,2,10,1,29,1,8,1,6,1,24,1,25,1,6,1,13,1,24,1,13,1,12,1,24,1,8,2,24,3,8,1,7,1,8,3,7,1,24,1,7,2,8,1,7,3,13,1,8,2,24,2,8,1,10,1,12,2,17,1,12,1,10,1,17,1,10,1,17,1,12,2,10,1,24,2,7,1,8,1,7,1,29,2,30,1,29,1,30,1,29,1,30,2,28,1,6,1,28,1,29,1,30,1,28,2,30,1,29,1,28,1,29,1,30,2,28,1,7,1,28,3,6,1,28,1,25,2,27,1,7,1,29,1,27,1,6,1,7,1,8,1,7,1,8,1,24,1,8,1,12,1,24,2,12,1,8,1,30,1,28,24,30,1,28,4,30,3,27,1,28,1,29,1,6,1,27,1,30,1,6,1,28,1,6,1,30,1,13,1,6,3,8,1,13,1,7,1,24,5,8,1,24,1,17,1,9,1,8,1,24,1,8,1,13,2,8,1,10,1,24,2,9,1,24,1,12,2,24,1,11,1,10,2,17,1,9,2,11,2,10,1,17,1,11,1,12,1,17,1,10,1,17,1,9,2,17,1,12,1,17,3,11,2,12,1,17,2,9,1,17,27,12,1,17,1,12,1,17,2,11,1,6,1,28,3,29,1,13,2,8,1,9,2,8,1,9,1,7,1,13,1,30,1,13,1,30,1,28,38,30,1,28,5,30,1,6,1,30,1,28,2,29,1,28,7,30,1,13,1,7,1,29,2,6,1,29,1,28,1,7,1,30,2,28,2,29,1,8,2,9,1,7,1,13,1,7,1,6,1,7,1,9,2,8,1,9,2,11,1,9,1,11,1,17,6,10,1,11,1,8,1,10,1,9,1,11,1,10,1,9,4,8,1,11,1,9,1,8,1,9,2,13,1,9,1,13,1,7,1,13,3,8,1,13,1,7,1,13,2,8,1,13,1,8,1,13,5,8,1,9,2,8,3,9,1,12,1,9,1,6,1,13,1,9,2,11,3,16,1,9,1,11,1,16,1,11,1,9,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,16,2,11,3,16,3,11,3,17,1,11,1,16,2,11,2,10,1,11,2,16,1,11,1,16,3,9,1,16,1,11,3,16,1,11,1,16,3,9,1,16,2,11,2,16,2,11,3,16,1,11,1,9,1,16,1,11,1,16,1,9,1,16,2,9,1,16,6,11,1,16,4,11,1,16,1,11,2,16,1,11,1,10,1,16,2,9,1,11,1,16,1,9,1,11,1,16,1,11,2,9,1,11,2,16,3,9,1,16,1,9,1,16,2,10,1,11,2,16,1,9,1,16,4,11,1,6,1,28,3,30,1,28,11,29,1,24,1,17,3,10,1,9,1,8,1,24,1,13,2,8,1,29,1,6,1,29,1,30,1,28,1,29,1,30,2,28,1,29,2,24,2,10,1,24,2,9,1,6,1,28,7,6,1,7,2,29,1,30,1,28,35,30,1,9,1,13,1,8,1,28,1,30,2,8,1,15,1,11,1,9,1,14,2,10,1,12,1,17,1,9,2,16,2,12,1,17,1,9,1,24,1,6,2,30,2,29,1,28,1,6,1,30,1,8,1,17,1,10,1,15,1,9,2,10,1,17,4,10,2,11,2,10,1,9,1,24,1,10,1,24,2,15,1,8,1,15,1,10,1,9,1,8,1,24,1,7,1,24,1,13,1,12,1,9,1,12,1,7,1,8,2,9,1,13,1,12,1,14,1,9,1,10,1,8,1,24,1,6,1,24,1,17,1,14,1,17,2,10,1,11,1,12,1,8,1,13,1,10,1,12,1,10,1,17,1,8,1,7,2,8,3,12,1,17,1,13,1,24,1,7,1,24,1,6,1,24,1,12,2,}, {9,1,13,1,29,1,8,2,11,1,9,1,11,1,17,2,14,1,12,2,13,2,24,1,8,2,24,1,9,1,24,1,17,1,14,1,16,1,15,2,9,1,14,1,15,1,17,4,9,1,12,1,13,2,24,1,9,2,10,2,24,2,10,1,12,1,24,1,15,3,8,1,9,1,15,2,12,1,14,3,15,1,14,3,17,3,10,1,12,1,17,1,10,1,17,14,9,1,8,1,13,1,6,1,29,1,28,1,30,2,28,1,29,1,30,1,6,1,8,1,17,45,16,1,11,1,9,1,8,1,13,2,29,2,6,1,28,6,30,1,7,1,24,1,8,1,29,1,28,5,13,1,24,1,9,1,10,2,13,2,9,1,11,1,9,4,8,2,10,1,14,1,15,1,9,1,6,1,29,1,8,1,24,1,7,1,6,1,28,31,30,2,28,1,29,1,6,2,13,1,12,1,17,1,6,1,28,5,15,1,17,3,12,1,9,1,16,1,10,1,13,3,7,1,13,1,29,1,6,1,30,1,6,1,29,1,30,1,6,3,7,1,6,1,10,1,9,1,12,1,17,4,11,1,28,9,30,1,28,5,7,1,13,1,7,1,6,1,29,1,6,1,29,1,6,1,28,3,6,1,30,1,28,2,30,2,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,4,30,4,28,1,6,1,28,1,30,2,28,1,30,2,6,1,7,1,6,1,30,1,29,1,6,1,30,3,6,1,30,1,29,1,6,1,30,1,6,1,29,1,28,1,29,1,28,1,30,1,7,1,30,3,13,1,9,5,13,1,8,1,13,1,8,1,13,2,8,1,9,1,13,1,9,1,8,1,9,1,13,1,8,2,13,1,8,1,13,1,8,2,9,1,8,1,9,2,8,1,9,1,13,1,8,1,13,1,8,1,13,2,9,1,6,1,8,2,9,2,6,1,9,1,7,1,8,1,9,1,13,1,9,3,13,1,9,1,13,1,8,2,13,1,9,7,13,1,16,1,9,2,8,1,9,3,8,1,11,1,10,1,9,1,16,1,13,1,9,1,13,1,6,1,29,1,13,1,7,1,8,1,6,1,13,1,6,1,13,1,6,1,8,1,13,1,9,2,8,1,10,1,7,1,28,1,6,3,13,1,6,1,13,1,7,1,13,1,6,1,13,3,8,2,7,1,13,1,8,1,30,1,13,3,6,1,7,1,8,1,7,2,6,1,7,2,6,1,13,1,6,2,13,4,8,1,6,1,13,1,8,1,24,1,13,1,10,1,8,1,6,1,13,1,29,1,13,1,11,1,17,11,16,9,11,2,16,1,11,1,17,1,16,5,11,2,16,1,11,1,10,1,11,1,16,1,11,3,16,1,11,2,10,1,9,1,11,1,9,1,11,2,16,2,17,1,16,1,17,1,11,1,16,1,11,2,9,1,16,1,10,1,11,1,16,1,11,2,16,1,9,1,16,1,9,1,11,2,16,3,9,2,11,1,16,1,11,2,9,1,16,1,9,1,16,1,11,1,16,1,10,3,16,1,11,1,16,2,11,1,16,1,11,1,9,1,16,7,17,4,16,2,10,1,12,1,9,1,8,1,11,1,9,3,8,2,13,1,8,1,24,1,6,1,8,1,24,1,30,1,6,1,30,1,6,4,30,2,6,1,28,3,29,1,28,1,29,1,28,3,30,1,28,1,30,2,28,2,30,1,29,1,30,1,6,1,30,1,6,2,13,3,8,2,9,1,13,2,8,2,9,2,8,1,12,1,11,1,17,1,16,1,11,1,10,1,16,1,11,3,17,1,9,1,16,1,11,1,17,1,16,1,9,1,16,1,11,1,16,2,11,1,9,1,10,1,9,4,10,1,8,1,11,1,9,1,11,1,9,1,11,3,9,2,11,2,9,2,11,1,9,1,16,1,11,2,9,1,16,1,9,1,10,1,11,1,9,1,11,1,9,1,8,1,9,6,10,2,8,1,10,1,11,2,9,7,13,1,9,5,8,1,9,1,10,1,9,1,11,1,9,1,13,1,9,1,11,1,9,1,8,1,13,1,8,1,9,3,13,1,8,2,9,3,8,1,9,2,13,1,9,1,13,1,9,2,8,1,9,1,8,2,9,2,13,1,7,1,9,2,13,2,9,1,13,2,9,3,8,2,9,3,11,1,13,1,9,1,11,1,16,1,9,1,11,1,9,1,10,1,9,7,10,1,9,3,13,1,9,1,13,3,8,1,13,3,9,1,13,3,8,1,9,1,13,1,8,2,9,2,10,1,9,2,11,1,16,1,9,1,11,3,16,1,17,2,16,1,17,5,16,1,13,1,8,1,16,2,17,1,9,1,12,1,9,1,16,1,11,1,16,2,11,1,17,1,12,1,11,1,17,1,16,1,12,1,16,1,17,1,9,1,17,1,10,1,8,1,24,1,9,1,8,1,9,1,13,1,9,1,24,1,11,1,10,1,9,3,10,1,9,5,11,1,9,3,10,2,9,2,17,1,16,1,11,1,8,1,11,2,9,1,11,1,16,1,17,6,16,1,17,1,16,1,17,2,16,2,9,1,16,1,9,1,16,1,9,2,17,1,9,1,17,1,11,2,17,2,16,1,17,1,11,1,16,1,11,1,17,1,16,1,17,1,9,1,17,1,9,1,13,1,9,1,11,1,17,1,16,3,17,1,16,1,17,2,16,1,17,5,16,2,11,3,17,3,16,1,17,1,16,2,17,3,16,1,17,13,9,1,16,1,7,1,8,1,9,1,11,2,12,1,11,2,10,1,8,1,16,1,17,7,16,1,11,1,9,1,11,3,9,2,16,1,9,3,11,2,16,3,11,1,9,2,13,9,9,1,8,1,9,1,11,2,16,3,17,1,16,7,11,1,17,1,6,1,30,8,28,1,30,5,28,5,30,1,28,1,30,1,28,1,30,2,6,1,30,2,28,1,30,1,6,1,30,2,13,1,30,1,6,2,30,2,6,1,30,5,28,1,30,1,28,1,6,1,30,2,6,1,30,3,6,1,30,3,28,1,30,2,6,1,28,1,29,1,6,2,30,1,13,2,30,1,6,2,13,1,6,1,13,1,30,1,6,3,28,2,30,2,28,1,30,5,29,1,30,2,29,1,28,1,6,1,30,5,28,1,30,1,6,1,30,2,6,1,28,1,29,1,30,6,6,1,30,2,29,1,6,1,30,1,6,1,30,3,29,1,30,1,28,1,30,2,6,1,30,3,29,1,30,1,29,1,30,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,6,2,29,1,6,1,30,3,6,1,28,1,13,1,30,2,6,1,29,1,6,1,30,1,6,2,30,1,6,1,28,1,6,1,30,1,6,2,30,2,6,1,13,1,28,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,13,2,6,3,30,2,6,4,30,1,6,2,30,1,6,2,30,1,29,1,6,5,30,3,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,5,6,1,30,2,28,1,6,2,30,1,28,1,30,2,28,2,6,1,28,1,30,3,6,1,28,1,30,3,29,1,30,3,6,1,30,3,6,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,30,2,28,1,30,1,6,3,29,2,30,2,28,1,30,1,6,3,30,2,28,1,30,1,28,2,30,3,28,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,13,1,8,1,6,1,28,1,29,1,30,3,28,1,30,1,28,1,6,1,28,7,30,3,28,1,30,5,28,1,30,2,13,3,30,1,28,1,30,2,6,2,30,1,6,1,29,1,30,1,6,1,29,1,30,2,29,1,6,2,29,1,30,2,6,2,30,3,13,1,6,4,30,1,29,1,30,2,6,1,30,1,6,1,30,1,29,1,6,1,7,2,6,1,28,2,17,1,11,1,9,3,8,1,9,1,11,1,9,2,8,2,9,1,8,1,24,1,13,1,9,1,13,2,24,1,8,1,13,1,8,1,9,1,24,1,9,1,8,2,24,1,8,1,9,2,24,1,8,1,24,1,8,2,10,1,9,1,24,1,8,1,24,1,13,1,8,5,13,1,7,2,13,1,24,1,7,1,13,1,6,2,28,2,30,1,7,1,30,1,6,2,7,1,8,2,24,1,8,1,30,1,28,5,29,1,30,1,28,1,30,1,28,1,29,1,28,1,30,2,28,34,6,1,29,1,24,1,8,1,25,1,8,3,24,1,8,1,24,2,8,2,12,1,10,1,24,1,12,1,17,4,11,2,9,1,11,1,9,2,10,1,9,1,10,1,11,1,9,4,13,1,8,1,9,1,8,1,10,1,9,1,10,1,9,2,8,1,9,1,24,1,9,3,7,1,9,2,8,1,10,1,24,1,13,1,24,1,9,1,8,2,13,2,8,1,13,1,8,1,24,1,10,2,8,1,11,1,10,1,8,1,24,1,9,1,24,1,12,4,17,2,10,2,17,2,12,1,17,2,10,1,17,1,9,1,10,1,9,1,12,1,10,2,11,1,24,2,9,1,8,1,24,1,8,2,24,1,8,2,6,2,8,2,6,1,24,1,8,3,24,1,8,1,10,1,24,3,25,1,10,1,13,1,24,2,8,1,7,1,24,1,25,1,7,1,6,1,8,3,25,1,7,2,29,1,7,1,6,1,13,2,12,1,9,1,10,3,12,5,10,1,17,1,10,1,12,1,9,1,12,2,24,1,8,1,6,1,7,1,28,1,29,1,30,1,28,1,30,2,28,1,30,1,28,4,30,1,6,1,28,2,6,1,28,1,6,1,28,1,29,1,30,1,29,2,7,1,30,1,25,1,6,1,28,2,6,2,29,2,25,1,8,2,25,1,12,1,17,1,13,1,24,1,12,1,10,2,7,1,28,1,30,1,28,15,30,1,28,10,29,2,28,1,30,1,28,1,30,1,29,2,28,1,29,2,28,1,29,1,30,1,28,1,29,1,6,4,28,1,29,1,8,1,7,1,8,1,7,1,13,1,12,1,13,1,12,1,8,1,13,2,12,1,24,3,10,1,8,1,10,1,12,1,8,1,12,1,10,1,12,2,10,1,12,1,17,1,12,1,10,1,9,1,12,1,17,1,10,1,17,2,12,1,17,1,9,1,17,1,12,1,11,1,17,2,12,1,11,2,17,1,10,1,12,1,9,1,17,4,12,1,9,1,12,1,17,16,16,1,17,2,12,1,17,1,12,2,11,1,12,1,9,1,6,1,28,4,13,1,9,2,24,1,10,1,24,1,9,1,13,1,6,1,28,2,30,1,28,59,13,1,6,1,29,1,28,2,7,1,13,1,9,2,8,1,13,1,9,1,13,1,24,2,13,1,30,1,6,3,13,1,9,2,11,1,9,1,11,1,9,1,13,1,9,1,8,1,9,1,10,1,13,1,8,1,9,1,10,1,9,2,13,1,8,1,9,1,10,1,8,1,9,4,10,1,8,1,9,4,8,1,13,1,8,1,13,3,8,2,9,1,13,2,8,1,7,1,8,1,13,1,8,2,9,1,6,1,9,1,13,3,9,3,11,2,9,1,6,1,9,1,11,5,16,1,11,3,9,1,10,1,9,1,16,1,10,1,11,1,16,2,11,1,16,3,9,1,16,1,11,1,16,2,9,1,17,1,16,3,11,1,16,1,9,1,10,1,11,2,9,2,11,2,16,2,11,1,16,1,9,1,11,1,16,1,11,1,16,1,11,3,16,1,11,1,16,5,11,1,16,4,11,1,16,1,10,1,16,1,9,1,11,1,16,5,11,1,17,3,9,1,16,1,11,1,16,1,11,1,17,1,16,1,17,1,11,1,16,3,11,1,16,2,11,1,9,2,11,3,16,1,11,1,16,1,11,3,16,1,13,1,11,1,10,1,11,3,16,2,11,1,16,3,17,1,11,1,16,1,30,1,28,15,13,1,9,1,17,1,10,1,12,1,9,1,24,1,7,1,24,1,8,2,13,1,28,2,29,1,30,1,28,1,30,1,28,1,6,1,29,1,30,1,13,1,8,1,24,1,12,1,9,1,10,1,8,2,28,7,7,1,24,1,30,1,29,1,28,36,30,1,17,1,8,1,7,1,28,1,30,1,6,1,8,1,9,1,24,1,8,1,15,1,10,1,17,1,12,1,14,1,15,1,10,3,17,2,12,2,13,1,28,2,29,1,6,1,28,1,6,1,30,1,7,1,24,1,12,1,15,1,12,1,9,2,12,1,16,1,17,2,16,1,12,1,17,1,9,1,24,1,10,3,8,1,13,1,24,1,13,1,9,2,24,1,10,1,8,1,13,1,10,1,9,1,13,1,10,1,24,1,8,3,24,1,8,1,10,1,17,2,9,1,24,1,6,2,13,1,12,1,14,3,9,3,10,1,13,1,24,1,9,1,17,2,24,1,13,2,8,1,6,1,8,1,12,1,10,1,8,2,24,1,17,1,24,1,9,1,7,1,12,1,}, {13,2,6,1,13,1,8,2,10,1,16,1,15,1,10,1,14,2,10,1,9,1,15,1,13,1,8,1,24,1,9,1,8,1,9,1,14,3,10,1,11,1,12,1,11,1,9,1,15,1,17,2,9,1,24,1,9,1,24,1,9,2,8,1,24,1,8,1,9,1,8,1,24,3,14,1,15,1,12,2,7,1,10,1,12,1,15,1,14,3,15,1,14,2,17,1,14,1,11,1,14,1,16,2,15,2,16,1,9,1,17,9,9,1,6,3,28,9,29,1,6,1,13,1,8,1,17,42,16,1,11,1,16,1,9,3,24,1,8,1,13,1,6,1,30,1,28,3,30,1,28,1,29,1,28,1,30,1,7,1,24,1,8,1,28,6,29,1,9,1,10,2,24,1,8,1,9,3,12,1,11,1,15,1,8,1,9,1,8,1,11,1,14,1,9,1,24,1,13,3,24,1,13,1,29,1,28,33,29,1,30,1,7,1,30,1,6,1,13,1,12,1,13,1,28,3,30,2,9,1,17,4,16,1,17,1,9,1,13,1,8,1,6,1,30,1,6,1,29,1,6,2,30,2,6,1,30,2,13,1,6,1,8,2,9,1,11,1,9,1,10,1,17,2,9,1,30,1,28,6,30,1,28,7,13,2,6,1,28,1,30,1,28,1,29,1,30,1,29,1,28,1,29,1,30,1,29,1,30,2,6,1,30,1,6,1,28,2,30,3,28,1,30,1,28,1,29,1,28,2,29,1,30,1,28,1,6,1,28,4,30,1,28,2,29,1,28,1,29,1,30,1,28,2,29,2,28,1,29,1,6,1,28,1,30,1,7,1,30,1,6,1,28,1,30,1,28,1,29,1,28,2,30,2,13,1,7,1,8,1,13,2,8,5,13,2,8,2,7,1,8,1,13,1,9,2,8,3,9,1,8,2,9,3,7,1,9,1,10,1,8,1,13,1,8,2,13,2,6,1,13,3,7,1,6,1,9,1,13,1,9,1,8,1,9,2,13,3,8,1,13,2,8,1,9,1,8,1,9,1,8,1,11,1,9,1,8,1,9,1,11,1,9,5,13,1,11,1,9,2,11,1,8,1,10,2,9,1,13,2,6,1,30,1,7,1,30,1,6,3,13,1,8,1,13,4,11,1,9,1,16,1,13,2,6,2,13,1,30,1,8,1,6,1,8,2,7,1,13,1,6,1,7,1,13,2,6,1,9,1,6,1,13,3,6,1,13,2,6,2,13,1,6,1,7,1,13,1,6,2,8,1,13,1,6,1,13,1,6,1,8,1,13,3,8,1,13,1,9,2,8,1,7,1,6,2,30,1,6,1,11,1,17,8,16,7,11,1,16,1,11,1,16,1,11,2,16,2,11,1,16,2,10,1,16,3,11,1,16,1,9,1,16,1,11,1,9,2,11,1,16,1,11,1,9,1,11,5,10,1,9,1,16,1,11,1,17,1,16,2,17,1,11,2,16,1,11,1,16,1,9,2,11,2,16,3,11,2,16,2,9,1,11,1,16,1,11,1,16,2,11,2,9,1,16,1,11,2,16,5,11,2,9,1,11,1,9,1,16,1,17,1,9,1,11,2,17,1,11,2,16,1,17,1,16,3,17,3,16,1,10,1,17,1,16,1,9,1,10,1,11,1,9,3,24,1,8,1,24,1,8,1,13,3,6,4,7,1,8,1,7,1,29,3,6,1,30,1,28,3,30,2,28,4,30,1,29,1,28,2,30,2,29,2,6,2,30,1,29,1,7,1,8,1,6,1,11,1,8,1,6,1,8,2,13,4,9,1,13,1,11,1,17,1,11,4,16,1,11,2,16,1,9,1,16,1,9,1,11,1,10,1,11,1,9,1,10,1,16,1,11,1,16,1,11,3,9,8,11,1,17,1,16,1,9,4,10,1,11,3,9,1,11,1,9,2,16,2,11,1,9,2,11,1,9,3,11,2,9,1,11,2,9,3,10,1,9,4,11,1,9,5,11,2,9,2,11,2,10,1,11,1,9,4,10,1,8,1,11,1,9,1,8,1,9,1,8,1,9,2,13,1,10,1,9,3,8,1,9,1,13,1,10,1,8,1,13,1,9,2,13,2,9,3,13,3,9,1,7,1,13,1,9,1,8,1,9,7,8,1,13,1,9,2,11,1,9,2,10,1,11,1,9,4,10,1,11,1,9,1,8,2,9,3,8,1,9,1,12,1,9,3,8,1,13,6,9,1,8,2,13,1,8,4,13,1,8,1,9,2,17,1,11,1,9,1,11,1,16,1,11,2,17,2,16,1,17,4,16,1,9,1,17,1,9,1,6,1,8,1,12,1,17,1,9,1,11,1,17,1,16,1,11,1,17,1,12,1,10,1,11,1,17,3,9,1,12,1,11,2,17,1,11,1,9,2,10,1,8,2,11,1,9,1,8,1,10,1,13,1,9,1,10,1,9,2,11,1,13,1,9,1,16,1,11,2,10,1,16,1,9,1,10,1,16,1,11,1,9,2,16,1,11,1,9,2,16,3,17,4,16,1,17,7,16,2,11,2,16,2,10,1,16,4,11,1,16,1,17,2,16,1,17,1,11,2,10,1,17,1,16,1,17,2,16,1,17,2,11,2,16,3,17,2,16,1,17,1,16,1,17,3,16,1,17,4,16,3,9,1,16,2,17,1,16,3,11,1,16,3,17,1,16,3,17,13,12,1,9,2,11,1,9,1,16,1,9,1,11,2,9,1,11,1,17,8,11,3,9,5,13,2,9,1,13,1,9,1,11,3,16,1,11,1,16,1,9,1,13,6,9,1,13,2,8,1,11,1,9,2,16,1,17,1,16,3,17,1,16,3,17,1,11,1,16,1,17,1,6,1,30,4,28,1,30,7,28,2,30,1,28,1,30,1,28,2,30,3,28,3,30,1,28,2,6,1,30,1,6,1,30,2,6,2,30,1,29,2,30,4,28,1,6,1,30,2,6,1,30,1,6,1,30,3,6,1,30,1,6,2,30,4,29,1,30,1,6,1,30,2,29,1,30,1,6,1,13,1,6,1,29,1,13,1,6,2,13,1,6,4,30,1,6,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,29,1,30,10,29,1,6,1,28,1,30,1,6,1,30,2,6,1,30,3,29,1,28,1,6,1,30,4,6,1,30,2,6,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,28,1,30,3,29,1,30,1,29,1,30,1,13,2,30,1,6,1,30,2,6,2,30,1,6,1,30,2,28,1,30,4,6,1,29,1,6,3,30,4,6,1,28,1,6,1,30,2,6,2,13,1,30,1,29,1,6,1,29,2,30,2,6,1,30,1,6,4,30,1,6,1,30,1,13,1,30,2,29,1,30,1,6,4,13,1,30,1,6,5,30,3,28,1,30,2,28,1,30,2,28,1,29,1,28,1,30,1,28,1,6,1,29,1,30,1,6,1,30,4,29,1,30,1,6,3,30,1,6,1,30,1,6,1,30,2,6,1,29,1,30,2,29,1,28,1,6,1,30,1,29,1,30,2,6,2,30,1,6,2,30,2,29,1,6,1,30,1,6,2,30,1,6,1,28,1,6,1,28,1,30,2,6,2,29,1,6,2,30,3,28,1,6,2,30,1,6,2,30,1,28,1,6,1,29,1,28,1,30,4,28,1,30,2,28,1,30,1,29,1,30,1,28,1,30,1,28,2,6,1,13,1,6,1,28,1,29,1,30,1,6,1,30,1,28,1,30,1,29,1,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,6,28,1,30,2,28,1,6,1,9,1,13,1,28,1,30,3,29,1,6,3,30,2,6,1,30,1,6,1,30,1,28,1,30,2,6,4,29,1,6,6,30,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,30,2,13,1,6,1,30,2,28,1,11,2,9,5,11,1,9,2,8,3,9,1,8,3,24,2,13,1,8,3,24,1,8,1,24,1,9,1,24,2,9,1,10,1,8,3,9,1,8,1,24,1,13,1,8,2,24,1,8,1,24,3,10,1,13,1,8,1,13,1,8,1,13,1,7,1,8,1,6,1,13,1,6,1,13,2,30,1,28,2,6,1,30,1,6,1,7,1,8,3,6,1,8,1,30,2,28,4,6,4,30,1,6,1,28,2,29,1,28,30,30,1,6,1,28,1,30,1,6,4,8,5,24,1,8,1,13,1,24,1,8,1,10,1,24,1,10,1,17,5,12,1,10,1,11,1,9,1,11,1,10,1,9,2,11,1,9,3,8,3,9,2,24,1,11,1,9,1,10,1,9,3,8,2,10,1,9,1,8,2,9,1,13,1,8,1,9,1,12,1,9,1,13,1,8,1,11,1,8,4,13,1,9,2,10,1,12,1,24,1,10,1,12,1,13,1,24,1,10,1,24,1,12,1,9,1,17,1,12,1,24,1,10,1,12,1,17,1,10,1,12,1,11,1,12,3,17,1,12,1,10,1,12,1,9,2,24,1,9,1,24,1,13,1,8,1,9,1,8,1,7,1,8,2,25,1,6,1,24,1,8,1,25,1,6,1,24,1,29,1,8,1,7,2,24,1,7,2,24,1,8,1,24,1,8,1,24,3,8,1,13,1,24,1,13,2,24,1,7,1,8,2,7,1,8,1,25,1,8,1,7,1,25,1,6,1,8,1,24,2,13,1,8,1,24,1,12,1,9,1,17,1,10,2,12,1,10,1,12,1,10,3,12,1,24,2,8,1,30,1,6,1,29,1,25,1,29,2,30,3,28,1,29,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,6,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,29,1,6,1,25,1,27,1,7,1,29,1,6,1,8,1,25,2,8,1,29,1,8,1,24,1,10,2,12,1,17,1,6,1,29,1,28,30,29,1,28,2,6,1,28,2,30,1,28,1,29,1,6,1,28,1,6,1,28,1,30,1,7,2,6,1,29,1,6,1,24,1,7,1,24,3,8,3,13,1,9,1,24,2,10,1,13,1,8,2,10,1,8,1,24,1,9,1,17,1,12,2,24,1,9,3,17,1,8,1,12,1,17,1,10,1,11,1,12,2,9,1,11,1,17,1,11,1,12,1,17,2,9,1,17,1,12,1,10,1,17,1,9,2,17,4,10,1,17,1,11,1,17,7,12,1,17,5,12,1,17,8,12,2,10,1,9,1,29,1,28,4,13,1,7,1,13,1,11,1,8,1,9,2,6,1,30,1,28,63,6,2,30,1,6,1,13,1,7,1,8,1,9,3,13,5,28,4,29,1,13,1,9,1,8,1,9,7,13,2,8,1,13,1,8,2,7,1,13,1,6,1,13,1,8,1,13,1,6,1,13,1,8,1,13,1,6,2,29,1,13,4,8,1,9,1,8,1,13,1,9,1,13,1,8,1,24,1,9,2,8,4,13,3,8,1,13,7,9,2,11,1,8,1,13,4,16,1,11,1,9,1,16,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,16,1,9,2,16,3,11,3,16,1,11,2,16,1,9,1,11,4,16,1,11,1,16,2,10,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,2,11,1,16,1,11,1,16,8,11,2,16,5,11,1,17,1,11,1,16,1,11,1,16,1,17,1,16,5,11,1,16,3,11,1,16,1,11,2,16,1,11,1,16,1,9,1,16,1,9,1,11,2,9,2,11,1,16,1,11,2,16,2,11,1,17,1,16,1,11,1,16,3,11,1,17,1,13,1,28,3,29,1,28,11,13,1,16,1,12,1,8,1,17,1,10,1,24,1,13,2,29,1,8,1,6,1,13,1,6,1,28,1,6,1,30,2,28,2,30,2,13,2,24,2,15,1,24,1,13,1,9,1,28,7,13,1,10,1,13,1,30,1,28,36,13,1,15,1,9,1,13,1,6,1,30,1,6,1,24,1,9,1,13,1,24,1,8,1,13,1,14,1,15,1,14,1,15,1,12,1,10,1,9,1,12,2,9,2,13,1,7,1,6,1,29,1,28,1,30,1,6,1,29,1,6,3,10,2,15,1,8,1,16,1,17,3,9,1,16,1,11,1,12,1,9,1,11,1,9,1,12,1,17,1,8,1,15,1,24,1,17,2,9,1,13,1,8,1,7,1,12,1,8,1,24,1,9,1,13,1,9,1,24,1,8,1,24,2,8,1,17,2,8,2,6,1,7,1,13,1,15,1,14,1,15,2,12,1,17,1,8,1,9,2,24,1,17,3,24,2,13,1,24,1,13,1,12,1,17,1,24,1,7,1,13,1,8,1,11,1,9,3,12,1,}, {13,2,8,1,7,1,10,2,12,1,16,1,14,1,15,1,17,1,14,1,17,1,8,1,24,1,8,1,10,1,24,1,9,3,11,2,16,1,14,1,11,1,24,1,13,1,10,1,11,1,17,2,9,1,8,2,24,1,9,2,24,2,8,2,24,1,13,1,24,1,12,1,8,2,12,1,9,2,14,2,15,2,12,1,14,3,17,1,12,1,14,1,15,2,16,1,11,2,15,1,16,2,11,1,17,1,16,1,17,5,10,1,6,2,28,10,30,1,6,1,28,1,7,1,8,1,11,1,17,41,16,2,11,2,9,1,8,1,9,1,8,1,7,1,6,1,30,1,28,1,29,1,28,5,29,1,7,1,24,1,13,1,30,1,28,6,9,1,8,2,9,1,8,1,13,2,10,1,9,1,11,1,8,1,9,1,11,1,16,2,14,1,10,1,9,1,6,2,8,1,9,1,29,2,28,33,30,2,28,2,7,1,15,1,10,1,8,1,28,3,30,1,29,1,9,1,17,5,16,1,9,1,13,2,7,2,30,2,29,1,13,1,6,1,13,1,28,1,6,1,29,1,6,1,13,1,24,1,8,1,12,1,24,1,10,1,11,1,17,2,10,1,28,9,29,1,28,5,8,1,30,1,6,1,28,5,6,1,28,3,6,1,29,1,28,1,30,1,28,1,30,2,28,4,30,1,6,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,2,28,1,29,1,30,2,6,1,30,1,13,1,30,1,28,1,30,1,6,1,29,2,30,1,6,1,28,3,30,2,28,3,30,1,28,1,29,1,6,1,7,1,8,3,9,2,13,1,9,1,13,1,8,1,13,1,7,1,9,2,13,2,9,7,13,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,8,2,13,1,9,2,8,1,13,1,8,2,13,1,8,3,13,2,9,1,8,1,13,1,8,1,9,2,8,1,9,3,8,3,9,1,13,1,9,4,16,1,9,1,11,1,8,1,9,1,17,1,12,1,8,1,16,1,9,1,13,1,9,1,8,1,29,1,7,1,6,2,13,1,6,1,30,1,6,1,8,1,6,1,13,3,8,1,13,1,12,1,16,1,8,2,6,1,13,1,7,2,6,1,29,1,7,1,6,1,8,3,13,2,29,1,13,1,7,1,13,1,6,1,9,1,7,1,6,1,13,1,6,1,13,2,7,1,6,2,7,3,6,1,8,1,7,1,29,1,13,1,30,1,6,1,13,1,8,1,13,1,9,2,8,1,13,1,9,1,8,1,6,1,13,1,6,2,16,1,17,7,16,1,17,1,16,1,17,1,16,6,11,2,16,1,11,1,17,1,16,1,11,5,16,2,11,4,9,1,16,1,9,3,11,2,16,2,11,2,16,1,17,1,16,1,11,2,16,1,17,1,16,1,11,1,16,3,11,1,16,1,11,1,16,1,11,3,16,1,10,1,16,1,11,2,16,1,10,1,9,1,11,1,16,1,11,1,16,1,11,3,16,1,11,1,16,1,11,2,16,1,11,1,16,1,11,2,9,2,11,1,9,2,11,2,9,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,5,9,1,11,1,10,1,11,1,13,1,7,1,8,3,9,1,24,1,8,2,13,1,8,2,13,1,7,1,13,1,6,1,7,1,29,2,30,1,28,1,6,1,28,1,29,1,28,1,29,1,30,1,29,1,28,7,30,1,29,2,28,2,30,1,6,1,28,1,13,1,6,1,8,1,13,3,8,1,9,1,8,3,13,1,8,1,13,1,9,2,17,1,11,1,16,1,10,1,9,1,11,3,9,1,11,1,16,1,11,1,16,1,10,1,11,1,16,1,11,1,16,1,11,1,10,1,9,1,11,1,9,2,11,5,13,1,9,1,11,4,9,1,10,2,16,1,11,1,9,1,10,1,16,1,13,1,16,2,11,1,8,1,11,1,9,1,11,1,9,1,10,1,9,3,8,1,13,1,11,2,9,3,11,1,8,1,9,2,10,1,9,3,13,1,8,1,9,2,8,1,11,1,10,1,13,1,10,1,9,2,11,1,8,1,11,1,9,2,11,1,9,1,8,1,9,2,13,1,9,1,13,1,8,1,9,1,11,2,9,2,13,1,8,1,13,2,9,1,13,1,9,2,10,1,13,2,9,1,8,1,9,1,8,1,13,1,8,1,13,1,9,1,8,3,9,1,8,2,9,1,13,1,9,1,8,1,9,5,10,3,9,2,11,1,8,1,11,1,9,2,11,1,9,1,16,1,9,1,13,1,9,5,13,1,9,1,6,1,13,5,7,1,8,4,13,3,6,1,13,1,11,2,9,3,17,1,11,1,17,6,10,1,17,1,11,1,8,1,17,1,10,1,8,1,9,1,16,1,17,2,9,2,16,1,17,1,9,1,17,1,10,1,11,1,12,1,17,1,11,1,16,1,11,1,9,3,11,1,8,1,9,5,13,1,10,1,9,3,8,1,11,1,9,1,12,1,9,1,11,3,10,1,16,1,12,1,16,2,17,1,13,1,17,1,16,1,11,1,17,1,8,1,16,1,17,11,16,1,17,3,11,1,8,1,11,1,16,3,17,1,10,1,17,1,11,1,10,1,12,1,10,1,11,1,17,2,11,1,17,2,16,1,17,5,16,2,17,1,9,2,11,1,16,1,17,2,16,1,17,9,16,2,11,1,16,1,13,1,16,4,17,1,16,2,17,1,16,2,17,1,16,3,17,1,11,1,17,1,16,1,17,6,16,1,17,3,16,1,17,2,16,1,12,1,11,2,9,1,17,11,11,3,9,1,11,1,13,1,9,3,13,4,11,1,9,1,11,2,16,1,11,1,9,2,13,4,9,1,13,2,9,1,13,1,9,1,11,1,9,1,16,1,17,1,16,3,11,1,16,2,17,1,16,3,13,1,28,1,30,5,28,1,30,3,29,1,28,1,30,2,28,5,30,1,28,1,30,1,28,1,30,9,6,2,30,1,6,1,30,1,6,1,30,2,6,1,30,3,6,4,30,2,29,1,6,2,30,3,6,1,30,4,28,1,30,2,6,1,13,1,6,1,13,1,6,1,30,1,6,1,9,1,13,1,7,1,6,5,13,1,30,1,29,1,28,1,30,7,28,1,30,1,28,1,30,1,28,1,30,7,6,1,7,1,6,1,30,2,28,1,6,1,30,2,29,1,30,1,6,1,30,2,29,1,30,1,6,2,13,1,6,1,30,1,6,2,30,2,6,1,30,1,6,1,30,2,6,1,28,1,6,1,30,2,6,1,30,1,6,2,13,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,29,1,28,1,30,3,28,1,30,2,6,1,30,1,28,1,29,1,30,1,29,1,30,1,6,1,30,6,7,1,6,4,30,1,6,2,30,2,6,2,29,2,30,1,6,2,7,1,6,3,30,1,28,1,6,1,30,2,7,1,30,1,6,1,28,1,7,1,30,1,6,3,29,1,6,1,29,1,30,5,28,1,30,1,6,1,28,1,6,1,28,2,30,8,28,1,30,4,28,1,30,2,28,1,6,1,30,1,29,1,28,1,30,1,28,2,30,2,6,2,28,1,30,1,6,1,30,1,6,1,30,3,6,2,30,1,6,2,28,1,6,1,30,3,13,1,6,2,30,2,6,7,30,3,6,2,30,2,6,1,13,1,6,1,30,1,28,1,6,1,30,2,29,1,28,1,30,3,28,1,6,1,13,2,6,1,30,1,13,1,28,1,6,1,29,1,30,4,6,1,30,4,28,1,30,1,28,1,6,1,28,1,30,2,28,1,6,1,30,4,28,1,30,1,13,1,9,1,13,1,30,5,7,1,13,1,6,1,30,3,28,1,30,1,6,1,7,1,13,1,30,1,6,3,28,1,6,2,30,1,7,1,28,1,6,1,28,1,6,1,30,2,6,1,29,1,6,1,30,1,29,1,6,3,30,3,6,2,11,1,9,1,8,1,9,1,10,1,11,1,9,1,8,1,9,1,10,1,9,1,13,1,8,1,9,1,13,2,24,3,9,3,8,4,24,4,9,2,24,1,8,4,24,2,13,1,9,1,24,1,8,1,13,2,8,1,9,1,8,2,7,1,13,2,8,1,13,1,7,1,6,2,7,1,29,2,30,1,6,1,29,1,6,1,8,1,13,1,30,1,28,2,9,1,29,1,28,5,30,1,13,2,6,2,29,2,6,1,29,1,30,3,28,29,29,2,6,1,29,1,24,1,25,1,6,1,8,2,25,2,8,4,24,2,8,1,24,1,10,2,17,4,11,1,17,1,10,1,9,1,11,1,9,1,12,1,9,1,10,1,9,4,10,1,24,1,8,1,10,1,9,1,10,1,8,1,10,1,12,1,8,1,9,1,24,1,11,1,8,1,13,2,10,1,8,1,24,1,9,2,8,1,13,1,10,1,8,2,10,1,8,1,13,1,10,1,24,1,10,1,12,1,8,1,11,1,9,1,10,1,9,1,24,2,9,2,12,1,24,1,10,1,12,1,24,1,9,1,17,1,12,1,10,1,12,1,17,1,10,1,12,1,24,1,10,1,12,2,24,1,9,1,12,1,8,2,9,1,24,3,8,1,13,1,8,2,24,1,8,1,6,1,24,1,7,1,8,1,6,1,29,1,8,1,13,1,25,1,7,1,8,1,24,2,8,1,24,1,8,1,24,1,7,1,24,1,8,1,7,1,8,1,7,4,29,1,25,2,7,2,6,1,29,1,8,1,25,1,8,2,24,1,12,1,8,1,10,1,12,1,17,1,24,1,10,1,8,1,12,2,17,1,24,1,17,1,12,2,10,1,13,1,8,1,6,1,25,1,29,1,30,2,28,4,29,1,30,1,28,5,29,1,30,1,28,4,30,1,28,2,30,1,6,4,27,2,26,1,29,2,25,3,24,1,7,1,24,2,10,1,8,1,13,1,10,1,13,1,28,22,30,1,28,2,30,1,28,4,30,2,28,1,30,4,28,1,30,1,28,1,6,1,30,2,6,1,29,1,30,1,6,1,7,1,6,1,13,1,6,1,13,1,24,2,8,1,7,1,9,1,10,1,24,1,13,1,24,1,8,2,24,1,9,1,8,1,24,2,13,1,8,2,17,1,10,1,12,1,17,1,9,1,8,1,11,1,10,1,17,1,10,1,11,1,17,3,12,1,9,1,17,1,12,1,9,1,11,1,17,1,11,1,8,1,10,1,11,1,12,1,9,1,11,1,17,3,12,2,11,1,9,1,17,14,16,1,17,1,16,1,17,3,12,2,17,1,10,1,11,1,13,1,28,3,30,1,29,1,8,1,9,4,8,1,29,1,28,63,30,1,28,1,29,2,13,2,8,1,9,1,8,1,10,1,8,1,7,1,13,1,8,1,7,1,28,1,6,1,28,5,6,1,17,1,9,1,8,1,9,2,11,1,9,1,16,1,13,1,9,2,13,1,8,3,13,1,7,1,13,4,8,2,28,1,30,1,28,10,7,1,6,2,7,1,13,1,7,1,13,2,10,1,8,2,9,1,13,2,8,2,13,2,8,1,13,1,7,1,8,1,9,1,8,1,9,1,11,1,8,2,13,3,8,1,11,5,9,1,16,1,11,1,9,1,11,1,16,1,11,1,9,3,11,1,9,7,11,1,9,1,10,1,13,1,11,1,9,4,8,1,11,1,10,1,16,1,11,3,16,1,17,1,9,1,16,1,9,1,16,4,11,1,16,1,11,2,17,1,16,2,11,1,16,4,11,2,16,1,9,1,11,1,16,4,17,1,16,4,17,1,16,2,11,1,16,2,17,1,11,1,16,1,17,2,11,1,17,1,16,2,11,1,16,6,11,1,16,2,17,1,16,4,11,1,16,1,11,1,16,2,11,1,16,3,11,1,16,1,11,1,17,1,11,1,17,1,13,1,28,3,30,1,28,11,6,1,11,1,12,1,24,1,12,1,17,1,24,1,13,1,8,1,6,4,13,1,30,1,29,2,30,1,29,1,28,1,29,2,6,1,13,1,8,1,15,1,24,1,8,1,13,1,6,1,29,1,28,6,8,1,24,1,13,1,6,1,30,1,28,35,6,1,9,1,8,1,13,1,28,2,6,1,10,1,24,1,8,1,13,1,8,1,29,1,24,1,12,1,15,1,17,1,15,1,9,1,15,2,10,1,24,2,9,1,24,1,7,1,6,2,28,1,13,1,7,1,6,2,28,1,6,1,24,1,12,1,17,1,10,1,12,1,17,1,16,1,12,1,17,1,11,2,9,1,17,1,11,1,17,1,16,1,8,1,17,1,12,1,17,1,8,2,9,1,8,2,10,1,8,1,9,1,12,1,7,1,24,1,13,1,6,1,7,1,13,1,10,1,11,1,17,1,11,1,13,1,7,1,13,1,8,1,15,1,14,2,8,1,17,1,9,1,24,1,13,1,8,1,24,1,12,1,17,1,12,1,9,1,24,1,13,1,24,2,9,1,12,1,9,1,13,1,6,1,13,1,11,1,6,1,10,1,11,1,24,1,}, {9,1,13,2,7,1,10,1,9,1,12,1,15,1,9,1,14,2,17,1,12,1,9,1,8,1,9,2,13,1,14,1,12,1,9,1,17,1,14,3,9,1,24,1,9,1,13,1,17,1,10,1,9,1,11,1,8,1,9,3,8,1,9,1,8,1,24,1,8,1,9,1,13,1,9,1,24,1,10,1,15,2,11,1,10,1,17,2,12,1,14,1,17,4,15,1,12,1,15,3,17,1,14,1,15,1,17,1,15,1,16,1,17,8,9,1,6,2,28,11,30,1,28,1,29,1,8,1,11,1,17,41,9,1,17,1,13,1,9,1,8,1,10,2,8,1,13,1,30,1,29,1,28,2,30,3,28,2,6,1,29,1,13,1,7,1,28,6,30,1,24,1,12,1,8,1,9,1,7,1,13,1,8,1,11,1,9,1,12,2,10,1,24,1,10,1,17,1,14,2,13,2,6,1,7,2,8,1,28,36,29,1,30,2,15,1,9,1,24,1,28,3,29,1,6,1,12,1,17,4,8,2,9,1,8,1,13,1,7,1,30,2,6,2,13,1,6,2,30,1,28,2,13,4,9,2,24,1,9,1,17,2,9,1,30,1,28,1,30,1,28,4,30,1,28,7,8,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,3,6,1,30,2,6,1,28,1,30,4,28,1,30,1,29,1,28,1,30,1,28,4,30,1,28,1,30,1,6,1,30,2,28,1,30,3,28,1,30,1,29,1,7,1,6,1,28,1,6,1,28,1,30,3,6,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,6,1,29,2,13,2,9,2,8,1,9,1,8,1,9,1,8,1,13,1,11,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,7,1,11,1,9,4,8,1,9,1,13,1,9,1,13,1,9,2,6,1,9,1,13,2,8,1,9,1,13,1,8,1,13,1,9,1,13,3,9,1,13,1,9,1,13,2,9,1,13,1,11,1,9,1,13,1,16,1,9,2,8,2,11,1,8,1,9,1,11,1,9,1,8,1,11,1,10,1,11,1,9,2,13,1,28,1,6,3,7,1,6,1,7,1,13,2,7,1,13,3,6,1,7,1,9,2,13,1,16,1,17,1,8,1,13,2,6,1,13,1,6,1,13,2,6,1,13,1,8,1,6,1,8,1,30,1,7,1,8,1,28,1,9,1,6,1,7,1,13,1,30,1,13,2,8,1,30,1,6,1,13,1,6,1,7,1,8,1,13,1,29,1,30,1,13,1,7,1,29,1,28,1,7,1,8,1,13,2,9,1,7,1,10,1,13,1,8,2,29,1,6,1,28,1,6,1,11,1,17,8,16,2,17,2,16,4,10,1,11,1,16,2,11,3,17,1,16,1,9,1,16,1,11,1,16,2,9,1,11,1,9,1,16,1,11,5,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,17,1,11,1,17,2,11,1,17,1,10,1,11,1,17,1,16,2,11,1,9,2,11,1,16,3,11,1,9,1,11,1,9,1,16,2,11,1,16,1,11,2,16,1,11,5,16,3,11,1,16,1,11,1,16,1,11,1,9,1,11,4,10,1,11,1,9,1,11,1,17,1,9,1,16,1,11,1,17,4,16,2,11,1,10,1,12,1,11,1,10,1,9,5,24,2,13,2,8,1,29,1,7,1,13,2,29,1,7,1,6,1,29,1,28,1,29,1,30,1,28,1,29,1,28,3,30,2,28,1,30,1,28,2,30,5,6,1,28,1,30,1,7,1,30,1,7,1,6,1,8,1,13,4,8,1,13,1,9,1,13,1,8,2,13,2,9,2,17,3,11,1,9,1,11,1,16,1,11,4,9,1,11,1,16,1,11,3,9,1,16,1,10,1,9,1,10,1,9,4,11,3,16,1,11,2,9,2,11,1,9,4,11,1,13,1,11,2,9,1,16,1,9,1,11,1,9,3,11,1,9,3,11,1,9,11,8,1,9,1,8,1,9,4,11,1,8,1,9,1,11,1,9,1,11,2,9,2,11,1,9,4,13,1,9,2,13,1,9,2,10,1,9,2,8,1,9,1,13,1,9,2,13,1,9,1,8,2,13,1,10,1,13,1,8,2,9,2,13,1,10,1,8,1,9,2,13,1,9,4,13,1,9,1,13,1,9,1,13,1,9,2,8,1,10,1,9,1,11,1,9,2,8,1,9,1,11,1,9,6,13,1,9,2,10,1,8,1,9,1,13,1,10,1,9,1,13,2,8,1,13,4,7,1,13,1,8,2,13,2,8,1,13,3,8,1,13,1,9,1,11,1,16,1,17,1,11,2,17,6,10,1,16,1,11,1,17,3,10,4,16,1,17,1,11,1,9,1,11,1,17,2,9,1,11,2,16,1,8,1,17,1,16,1,11,1,9,1,8,1,13,1,9,1,8,3,13,1,7,1,8,1,9,1,13,1,8,1,9,2,10,1,8,1,12,2,13,1,10,1,11,1,9,2,17,1,10,1,16,2,12,1,10,1,11,1,16,1,11,1,16,1,17,2,16,1,17,12,16,1,9,1,11,2,17,1,9,1,10,1,17,1,11,1,10,1,9,1,12,1,16,1,11,1,9,1,11,1,16,1,11,1,17,1,16,1,17,5,11,1,17,1,9,2,16,1,11,1,17,2,16,2,17,10,11,1,16,2,10,1,16,1,9,1,16,8,17,1,16,1,11,2,16,1,11,1,17,1,11,1,17,1,16,1,17,15,16,1,17,14,16,1,9,2,11,1,9,5,13,1,30,1,13,1,9,2,11,5,9,2,6,1,9,1,6,1,13,5,9,3,16,1,11,1,17,1,16,7,11,1,17,1,8,1,28,1,30,1,28,1,6,1,30,8,28,1,30,1,28,1,6,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,6,1,30,2,28,1,6,1,30,3,6,1,30,1,6,1,30,4,6,5,30,2,28,1,30,3,6,2,30,1,28,1,6,1,29,1,28,1,6,1,30,4,6,2,30,1,13,1,6,1,29,1,13,1,30,1,13,1,6,1,30,1,13,1,6,4,30,2,6,1,30,1,6,2,30,1,6,1,30,4,28,1,6,1,28,1,30,1,6,1,30,5,6,1,30,2,6,1,30,4,6,1,30,3,29,1,30,3,6,1,30,3,6,2,30,1,28,1,30,1,6,1,28,1,6,1,30,2,28,1,6,1,30,2,29,1,6,1,30,1,6,1,13,1,6,1,30,1,29,1,6,1,28,1,30,1,6,1,30,2,28,1,30,2,28,1,30,2,29,1,30,7,6,1,30,2,28,1,30,1,29,2,30,1,7,1,6,3,13,1,6,1,29,1,6,2,30,1,6,1,30,3,6,1,30,1,6,2,13,1,6,2,29,2,30,1,29,1,30,2,28,1,30,5,6,1,30,1,6,1,28,4,30,2,28,1,30,3,6,1,30,1,28,1,30,1,28,2,30,3,6,1,30,11,28,1,30,4,6,2,30,2,6,1,30,2,29,2,30,1,28,1,30,2,6,2,30,1,6,2,30,1,6,1,13,1,30,1,6,12,13,1,29,1,13,1,6,1,13,1,6,1,13,1,30,1,6,2,30,1,6,2,30,2,6,1,30,1,6,1,30,6,13,2,8,1,30,1,7,1,6,4,30,3,28,2,30,1,29,1,30,2,6,1,30,1,29,1,30,1,28,1,6,2,28,1,6,2,30,5,6,1,13,1,6,1,30,4,6,1,30,1,6,1,30,1,6,1,30,1,6,5,30,1,29,1,30,4,6,1,30,2,28,1,30,1,29,1,6,1,13,1,29,1,6,2,30,1,6,4,13,1,29,2,6,1,13,2,9,7,24,1,9,5,8,1,13,2,24,1,8,1,13,1,8,2,24,1,13,1,9,1,8,1,24,1,8,1,24,1,9,1,8,1,24,2,13,1,8,3,13,1,8,3,9,1,24,3,8,1,24,1,8,2,13,3,8,1,7,1,8,1,13,1,24,1,13,1,6,1,30,1,29,1,30,1,28,1,6,1,13,1,8,1,30,1,28,3,13,2,7,1,28,7,6,1,29,1,6,2,30,1,6,3,30,1,28,29,30,1,6,1,28,2,8,1,29,1,13,1,7,1,6,1,8,3,7,1,6,3,8,4,13,1,17,1,12,1,17,2,10,1,11,1,9,1,11,1,9,2,10,1,9,2,8,1,9,1,8,1,9,7,13,1,9,7,24,1,8,2,13,1,8,1,13,1,8,4,13,1,7,1,13,1,8,1,7,2,13,1,10,1,24,2,10,1,12,1,9,1,17,1,10,4,12,1,10,1,12,1,8,1,24,1,8,1,10,1,9,1,10,1,12,1,10,1,12,1,17,1,9,1,10,2,9,1,24,1,9,1,12,1,24,1,12,1,24,1,12,1,24,1,10,1,13,1,10,1,13,1,30,1,7,1,24,1,6,2,8,1,6,1,25,1,8,1,7,2,25,1,8,1,7,1,24,2,25,1,8,4,24,1,25,1,6,1,24,3,25,2,6,1,25,2,8,1,27,1,6,1,30,1,29,1,6,1,25,1,13,1,8,1,24,2,9,1,12,3,10,1,12,1,9,1,10,3,9,1,12,1,10,2,12,1,8,2,29,1,25,1,30,1,29,1,30,1,28,1,29,1,28,1,30,1,28,4,30,2,6,1,30,2,28,3,29,1,28,1,6,1,28,1,6,1,28,1,29,2,6,1,29,1,25,1,7,1,6,1,25,1,29,1,25,2,8,1,24,2,10,1,12,1,17,1,10,1,24,1,8,1,7,1,28,17,30,1,28,3,30,1,28,2,30,1,28,7,30,1,28,3,29,2,30,1,28,1,30,1,6,1,28,2,6,2,13,1,30,1,13,1,29,1,13,1,8,1,7,1,24,1,8,1,9,1,12,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,7,1,12,1,24,1,8,2,6,1,12,1,9,2,12,1,17,1,9,2,12,2,17,1,12,1,9,1,17,1,10,1,17,2,12,6,11,1,9,2,17,1,9,1,12,1,17,2,10,2,17,1,11,1,17,1,12,1,17,15,11,1,17,2,11,1,17,1,11,2,9,1,6,1,28,4,6,1,8,1,7,1,10,1,8,1,6,1,7,1,6,1,28,61,30,1,6,2,7,2,6,1,13,3,9,1,8,2,13,1,8,1,13,1,7,1,6,1,7,1,28,7,13,1,9,4,11,1,9,5,8,1,13,1,8,1,13,3,8,1,13,1,9,1,13,2,8,1,13,1,6,1,28,17,30,1,28,3,6,1,13,1,9,1,11,1,9,1,11,4,12,1,11,1,17,3,11,1,9,1,8,1,13,3,9,1,13,1,16,1,11,1,17,1,16,1,11,1,16,1,11,1,16,1,11,2,9,1,16,1,9,1,11,3,9,4,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,9,2,11,1,9,3,11,1,9,2,11,1,10,1,16,1,9,1,16,4,11,1,16,1,17,1,11,1,16,2,11,1,16,1,11,1,17,1,9,1,16,2,11,1,16,3,11,1,16,1,11,2,17,1,16,6,17,1,16,1,10,1,17,1,16,2,17,1,11,1,16,2,11,1,16,3,11,1,16,1,11,1,16,2,11,1,16,10,11,1,16,4,11,1,16,7,13,1,30,1,28,14,29,1,9,1,16,1,9,1,8,1,9,2,7,1,6,1,8,2,6,1,13,1,30,1,29,1,28,3,6,2,28,2,6,1,24,1,10,1,8,1,12,1,8,2,9,1,28,6,30,1,8,2,6,1,13,1,28,36,13,1,24,1,8,2,30,1,28,1,6,1,9,1,24,1,8,2,6,1,28,1,29,1,13,1,12,1,15,1,12,2,10,1,9,1,12,1,10,2,8,3,13,1,6,1,30,1,29,1,30,1,7,1,29,1,28,1,6,1,30,1,8,1,15,1,17,1,12,1,17,2,16,1,12,2,10,2,9,1,10,1,9,1,17,1,12,1,10,2,17,1,9,1,24,1,8,1,9,1,7,1,8,2,24,1,9,1,13,1,8,1,13,1,8,1,6,1,13,1,12,1,17,2,13,1,9,1,8,2,9,1,14,2,17,1,15,1,24,1,8,1,10,1,13,2,9,1,24,1,17,1,12,1,8,1,24,1,9,1,8,1,13,1,9,1,17,1,9,1,7,1,13,1,9,1,8,1,24,2,12,1,24,1,}, {24,1,13,1,24,2,9,2,12,1,17,2,10,1,11,1,14,1,10,2,9,2,13,1,11,1,16,1,9,2,16,1,17,1,14,1,12,1,8,1,10,1,13,1,9,1,10,1,17,1,9,1,12,1,9,1,12,1,11,1,8,1,24,1,10,1,9,2,8,1,24,1,9,1,15,2,10,1,12,1,9,1,15,2,11,1,17,1,15,1,12,1,17,1,14,1,17,1,14,1,17,2,15,1,17,2,12,1,16,1,12,1,11,1,14,1,12,1,17,5,16,1,11,1,17,1,9,1,13,1,28,11,30,1,28,1,29,2,8,1,10,1,17,8,16,1,17,32,16,2,10,1,9,2,10,1,8,1,24,1,6,2,28,9,6,1,9,2,30,1,28,5,29,1,12,1,24,1,9,1,24,1,13,1,8,4,10,1,12,1,16,1,9,2,10,1,17,1,14,1,8,1,6,1,13,1,6,1,8,1,13,1,28,31,30,1,28,1,7,1,28,1,29,2,28,1,29,1,24,1,17,1,13,1,30,1,28,2,30,1,6,1,9,1,17,4,16,1,9,2,8,2,29,2,30,1,13,1,6,1,7,1,13,2,29,1,6,1,30,1,13,1,30,1,7,1,8,1,24,1,12,1,9,2,17,1,16,1,9,1,28,8,30,2,28,1,30,1,28,3,6,1,13,1,29,1,30,2,28,1,30,1,28,2,6,1,28,2,6,1,28,3,30,2,28,1,6,1,30,1,6,1,29,1,28,2,30,1,28,8,6,1,30,1,28,2,30,1,28,1,29,1,13,1,28,1,6,1,29,1,30,2,28,1,29,1,6,2,28,2,6,1,28,1,30,3,29,1,30,1,28,3,30,1,28,1,30,1,6,1,13,5,8,1,7,1,17,1,13,1,8,1,9,1,8,1,13,1,9,1,17,1,13,1,8,1,13,1,8,1,13,1,9,2,8,1,9,1,13,1,9,2,13,1,8,1,13,1,9,1,8,1,13,2,8,1,9,2,13,1,9,2,8,2,13,2,10,1,6,1,13,1,8,1,9,3,8,1,9,1,8,1,16,1,11,1,8,1,13,1,9,2,10,1,9,1,16,1,11,1,17,1,16,1,9,1,12,2,9,1,13,2,8,1,13,1,29,1,6,1,30,1,8,1,13,2,6,1,13,1,6,1,28,1,7,1,8,2,13,1,6,1,8,1,9,2,16,1,8,2,13,2,8,1,13,1,6,1,13,3,8,2,13,2,29,1,8,1,7,2,8,1,7,1,9,1,6,1,8,1,13,5,6,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,6,2,13,1,7,1,8,2,13,1,9,2,8,1,24,1,9,1,6,3,29,1,11,1,17,7,16,1,17,1,16,5,11,1,16,1,11,1,16,1,9,1,16,1,9,1,16,2,11,3,16,2,11,2,16,2,9,1,11,1,10,1,11,1,16,1,10,1,11,1,16,1,9,2,11,1,16,1,9,1,11,1,17,1,16,4,17,1,11,2,9,1,16,2,11,1,16,1,11,1,9,2,11,1,16,1,11,2,9,2,11,1,9,1,11,4,9,1,11,1,9,1,11,1,16,1,11,1,9,1,16,1,9,1,11,1,16,1,9,1,16,2,11,1,16,1,11,3,9,3,10,1,9,1,16,1,11,2,9,1,11,1,10,1,16,1,17,5,12,1,9,1,8,1,16,1,9,1,13,1,9,1,8,3,10,1,24,1,9,1,8,1,24,1,13,1,7,1,13,1,29,1,30,1,29,1,7,1,28,2,30,3,28,1,6,1,28,2,30,2,28,4,30,1,28,1,30,1,28,1,30,2,28,1,6,1,29,1,13,4,6,1,13,3,24,1,13,2,8,1,9,1,8,1,7,1,13,2,9,1,17,3,11,2,9,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,9,1,11,2,16,1,11,1,9,1,11,1,9,4,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,5,11,1,8,1,9,2,11,3,9,3,11,3,10,1,9,10,8,1,9,2,11,3,13,1,8,1,9,2,8,1,9,3,10,1,9,2,11,3,8,1,9,5,8,1,9,1,8,1,9,1,13,1,9,1,13,1,11,2,13,1,8,2,13,1,9,3,8,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,8,2,9,1,13,1,8,1,9,1,8,1,9,2,8,1,9,2,13,1,8,1,13,1,8,1,9,1,8,1,9,5,8,1,10,1,9,2,11,1,9,5,11,1,9,4,8,1,9,2,13,1,9,1,13,1,8,2,9,1,13,8,29,1,13,1,7,1,13,2,8,1,17,1,11,1,16,1,11,2,17,5,11,1,17,2,9,1,17,1,16,2,17,1,9,1,8,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,17,1,9,1,16,1,8,1,10,1,8,1,12,1,9,1,10,1,9,2,12,1,24,1,13,1,11,1,9,2,13,1,9,2,8,1,10,1,9,2,11,1,9,1,8,1,17,1,9,1,11,1,9,1,24,1,12,1,9,1,16,1,17,1,16,1,12,1,16,1,17,1,16,1,17,1,16,1,17,5,11,1,17,1,11,1,17,7,11,3,16,1,11,2,17,1,10,1,12,1,16,1,12,1,11,2,17,1,16,1,11,1,17,3,16,1,17,1,16,1,17,3,11,3,9,1,17,1,16,1,11,1,17,3,16,1,17,5,11,1,17,1,11,2,16,3,17,1,16,1,9,1,11,1,9,1,17,2,16,2,17,1,16,1,11,4,16,2,11,1,16,1,9,1,16,2,17,14,16,1,17,14,16,1,11,1,9,3,11,1,9,3,13,4,9,2,11,2,9,1,11,1,9,2,13,11,9,1,16,2,11,1,16,1,17,2,16,2,11,1,9,1,17,1,6,1,28,1,6,1,30,5,6,1,30,2,6,1,30,2,28,3,30,2,6,1,28,1,30,2,6,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,29,1,6,1,30,1,6,2,30,1,6,1,29,1,30,1,28,1,30,2,29,1,30,2,28,1,6,1,28,2,29,1,6,5,30,1,6,1,30,5,6,2,30,1,6,1,13,1,6,3,7,1,6,4,30,1,6,1,30,1,6,1,29,1,30,2,28,4,7,1,30,5,28,1,30,3,6,1,30,15,28,1,29,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,6,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,9,1,29,1,30,1,6,1,30,1,6,1,30,4,6,1,30,3,28,3,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,6,2,30,1,13,1,30,2,28,1,6,1,7,1,6,5,30,2,6,1,7,1,6,1,30,1,6,1,28,2,30,1,28,1,30,2,6,1,30,4,6,3,28,1,6,1,28,1,30,1,6,1,28,1,30,1,6,1,28,2,30,1,28,1,30,1,29,1,30,5,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,4,6,1,30,3,28,1,6,1,30,1,6,1,28,1,29,1,30,1,6,4,30,1,28,1,30,1,6,3,29,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,3,29,1,7,1,6,2,7,1,6,1,7,1,6,1,13,1,30,2,13,1,9,1,30,1,6,3,30,1,6,1,30,5,6,2,30,4,6,1,8,1,6,1,13,1,6,1,29,1,30,7,28,1,30,4,6,2,30,2,29,1,6,4,30,1,6,2,30,3,29,1,13,1,6,1,30,3,6,1,13,1,7,2,6,1,7,1,6,1,29,1,6,2,30,1,29,2,28,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,2,7,1,6,9,30,1,13,1,7,1,30,1,7,1,13,1,30,1,11,1,10,1,8,1,9,2,11,1,9,4,8,2,9,1,8,1,9,1,24,1,13,1,9,1,13,1,9,1,8,2,24,1,8,3,13,1,24,1,12,5,10,1,17,1,12,4,13,1,8,3,24,2,8,1,13,1,8,1,13,1,8,1,24,1,13,1,6,1,8,1,6,1,13,1,6,1,29,1,6,1,30,1,6,1,13,1,6,1,28,6,13,1,7,2,29,1,6,1,28,5,29,1,6,1,7,1,6,1,29,1,6,1,29,1,28,1,30,1,28,4,30,1,28,25,6,1,30,2,8,1,6,1,7,1,13,1,6,1,8,1,6,1,7,1,6,2,29,1,6,1,30,1,28,1,29,1,13,1,24,2,12,2,17,1,9,2,11,1,12,1,11,1,12,1,9,1,10,1,9,1,10,1,8,1,9,1,8,1,9,3,10,1,9,1,11,1,9,3,8,1,10,1,24,1,9,3,13,1,9,1,13,1,8,1,9,1,8,1,13,3,29,1,13,3,10,1,13,2,9,2,10,1,17,1,12,1,17,1,10,1,24,1,8,1,24,1,17,1,12,1,13,1,10,1,24,1,8,2,24,3,9,1,24,1,12,1,9,1,12,1,10,1,17,1,9,1,24,1,12,1,9,1,12,1,24,1,9,1,10,1,9,1,24,2,10,1,8,1,29,1,24,1,7,1,8,1,25,1,6,1,7,1,6,1,28,1,7,1,25,1,7,1,6,1,8,2,25,1,24,1,7,1,8,1,10,1,8,1,25,1,24,2,13,1,7,2,8,1,25,1,6,1,8,1,27,1,26,1,25,2,6,4,7,1,6,1,10,1,13,1,24,1,8,1,10,2,9,1,12,1,24,1,17,1,24,2,10,1,12,3,10,1,13,2,6,1,7,1,29,1,6,1,28,1,6,1,28,4,29,1,28,1,29,2,28,1,29,1,30,1,28,1,29,1,28,1,30,1,29,1,28,1,30,3,28,1,29,1,6,1,29,1,6,1,28,1,25,1,6,1,25,1,6,1,8,1,25,2,7,1,8,1,24,1,10,1,24,1,10,1,24,2,29,1,28,20,30,1,28,1,30,1,28,2,30,1,28,2,29,1,28,6,30,1,28,2,29,1,6,1,28,1,30,1,29,1,28,1,6,1,28,1,6,1,29,1,6,1,29,1,7,1,6,1,24,1,8,1,6,1,24,1,7,1,8,2,24,1,12,1,9,1,8,1,7,1,24,2,8,3,24,2,8,3,13,1,24,1,8,1,10,1,17,1,12,2,9,1,12,1,17,1,9,2,12,1,10,1,13,1,10,1,17,1,10,1,11,1,9,1,10,1,9,2,12,1,17,1,9,1,17,1,8,1,24,1,17,3,11,1,17,16,11,2,12,2,9,1,30,1,28,4,6,1,8,1,9,1,8,2,13,1,28,60,29,1,6,1,13,1,29,1,6,1,13,2,8,1,13,1,8,1,13,2,10,1,8,1,7,1,13,3,6,2,28,8,30,1,11,1,13,1,9,2,13,1,9,1,8,1,9,2,11,1,9,1,8,2,13,1,8,2,9,1,13,2,9,1,13,2,6,1,13,1,6,1,28,27,6,1,29,1,7,1,13,1,9,2,11,1,9,1,13,2,6,4,8,1,13,2,6,1,8,1,9,1,13,1,8,2,13,2,9,2,13,3,9,4,11,1,9,1,11,1,16,1,11,1,9,1,11,2,9,1,11,1,10,1,9,1,10,1,9,3,11,1,9,1,11,1,9,1,13,1,9,4,13,1,11,1,9,2,11,1,16,1,9,1,16,1,11,8,9,1,16,1,11,1,17,1,16,3,11,1,16,2,11,5,16,2,11,1,17,1,16,6,11,1,16,4,11,1,16,3,11,1,16,1,11,2,17,1,9,1,16,5,11,1,16,12,17,1,16,1,13,1,6,1,28,14,6,1,16,1,10,1,12,1,24,1,9,1,24,1,6,2,30,2,6,1,7,1,30,1,13,1,30,1,6,2,29,1,13,2,28,1,6,1,24,1,9,2,10,1,24,1,8,1,7,1,28,6,30,1,8,1,10,1,7,1,6,1,30,1,28,35,13,1,24,1,8,1,7,1,30,2,13,1,9,1,24,1,8,1,7,1,6,1,28,1,30,1,28,1,29,1,10,1,9,1,12,1,9,1,10,1,24,1,10,1,24,2,9,1,7,1,13,1,6,1,28,1,6,1,30,1,6,2,29,1,30,1,29,1,30,1,12,1,16,1,11,1,17,1,16,1,10,1,17,2,9,1,11,1,10,1,17,1,9,1,17,1,7,1,8,1,12,1,13,1,8,1,9,1,24,1,9,1,8,2,24,1,8,1,13,2,8,3,24,1,8,1,12,1,11,1,17,1,11,1,24,1,13,1,8,2,15,1,14,1,10,3,9,2,8,2,9,1,10,1,17,1,12,1,24,1,13,1,7,1,13,2,12,1,9,1,24,1,13,1,7,1,9,1,8,1,9,1,10,1,8,1,12,1,}, {9,1,13,1,9,1,13,1,10,1,9,1,12,1,10,1,9,1,14,1,12,1,15,1,14,1,9,1,13,1,10,1,24,1,15,1,24,1,10,1,9,1,17,1,14,1,16,1,10,1,24,1,8,2,9,1,12,1,9,1,15,1,24,2,9,2,24,1,13,1,11,2,13,1,9,3,17,1,11,1,12,1,15,1,12,1,9,1,17,7,10,1,11,1,10,1,16,1,17,1,16,1,15,1,12,1,9,1,17,1,10,1,14,1,17,3,12,1,9,3,10,1,16,1,8,1,13,1,29,1,28,9,29,1,28,1,29,1,30,2,9,2,17,36,16,1,17,5,10,1,9,1,12,1,8,2,9,1,13,1,6,1,13,1,29,1,30,1,28,6,30,1,13,3,28,6,6,1,12,1,17,1,24,1,9,1,13,2,8,1,24,1,10,1,12,1,16,1,9,1,16,1,10,1,16,1,14,2,13,1,6,2,13,1,9,1,7,1,28,36,29,2,30,1,24,1,12,1,8,1,28,1,30,1,28,1,29,1,6,1,24,1,17,3,16,1,12,1,16,1,13,1,9,1,13,1,28,1,13,1,30,1,6,3,8,1,6,2,29,1,6,2,7,1,13,1,8,1,9,1,11,1,9,2,17,2,12,1,28,3,30,1,28,1,30,3,29,1,28,6,30,1,6,1,28,2,30,1,28,1,30,1,28,3,30,1,6,1,30,3,28,2,30,1,28,2,29,1,28,3,6,1,28,1,6,1,28,2,30,1,28,6,13,1,28,1,30,1,29,1,28,2,30,1,28,2,29,2,28,2,30,2,6,1,28,2,30,4,28,6,30,1,28,1,6,2,29,1,30,1,13,3,8,1,9,3,8,2,11,1,9,2,13,1,9,1,8,1,9,2,13,2,9,1,13,1,9,1,11,1,13,1,9,1,10,1,13,1,8,1,13,1,10,1,9,2,8,3,13,1,8,2,9,1,13,1,9,1,8,1,9,1,10,1,13,1,9,1,8,2,9,1,11,1,8,3,9,1,10,1,8,2,11,3,9,2,8,1,10,1,9,1,8,1,9,1,7,1,29,1,6,3,7,1,6,2,13,2,8,1,6,2,13,2,8,1,9,1,13,1,8,1,9,2,8,1,16,1,11,2,13,1,6,1,8,1,13,1,6,2,30,2,13,3,7,1,8,1,6,1,8,2,13,3,6,1,28,1,24,1,13,3,6,1,7,1,6,1,7,2,13,1,30,1,6,1,13,3,8,1,7,1,8,1,13,1,9,1,8,3,9,1,13,1,8,1,7,1,13,1,7,1,6,1,11,1,17,5,16,4,11,1,16,1,11,2,16,1,9,1,11,1,9,1,11,1,9,1,16,2,11,1,16,1,11,2,9,1,11,1,10,2,16,1,9,1,11,8,9,1,11,1,16,1,9,1,16,2,11,1,17,1,11,3,16,2,10,1,16,1,11,2,17,1,11,2,9,1,11,1,9,1,16,1,9,1,11,1,10,1,11,3,16,1,9,1,11,2,16,2,9,1,11,2,16,1,11,1,9,1,11,1,16,2,11,2,16,1,11,2,16,2,9,1,16,1,9,1,11,1,9,3,10,1,12,1,11,1,12,1,11,1,9,1,16,1,17,5,9,1,17,1,11,1,9,1,12,4,9,1,13,2,24,1,8,1,24,1,7,1,6,1,8,1,6,1,13,1,6,1,7,1,29,1,30,1,6,1,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,4,30,2,28,1,30,1,28,2,6,1,29,1,28,2,7,3,9,1,6,1,7,2,6,1,8,1,13,1,9,1,13,1,8,1,13,1,9,1,10,1,9,1,13,1,10,1,17,2,10,1,11,1,9,1,11,1,9,4,11,1,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,1,9,2,10,1,11,1,9,2,11,2,8,1,11,2,9,3,8,1,10,1,9,1,11,1,13,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,11,1,10,1,9,1,11,1,9,3,10,1,9,1,11,1,8,1,9,4,8,2,9,9,8,1,9,4,10,1,9,1,10,1,9,1,8,1,9,1,8,1,13,1,8,2,13,1,9,1,11,1,13,1,9,2,8,1,9,1,8,1,9,1,13,2,9,2,13,1,9,1,13,1,9,1,8,2,13,1,9,1,8,1,9,1,13,1,9,4,13,1,9,1,13,2,9,1,8,1,9,2,8,1,9,1,11,2,9,1,11,1,9,6,11,1,9,7,8,1,9,1,10,1,8,3,6,1,8,1,9,1,13,1,6,1,9,1,6,1,7,1,13,3,30,1,6,1,13,1,29,1,6,1,13,1,9,1,17,1,16,1,17,7,16,1,17,2,16,2,17,4,13,1,8,1,9,3,10,1,9,1,11,2,9,1,16,1,17,1,8,1,12,1,9,1,8,1,10,1,9,3,8,1,9,1,8,1,24,1,10,1,13,1,8,1,24,1,9,1,8,2,24,1,9,2,10,1,9,1,12,1,8,1,11,1,12,1,8,1,11,2,8,1,9,1,17,1,10,1,16,1,11,1,17,17,16,1,9,1,16,2,9,1,11,1,16,1,11,1,8,1,11,1,16,1,11,2,9,1,16,1,11,1,17,1,11,1,16,1,17,2,16,2,17,2,9,1,17,2,9,1,17,1,11,1,16,1,17,1,11,2,17,2,16,1,17,6,11,1,16,1,11,1,16,1,10,1,11,3,9,1,16,1,9,2,11,1,16,1,9,1,11,1,17,1,11,1,16,1,9,1,16,3,17,1,11,1,16,3,17,1,11,2,17,13,16,1,17,14,9,2,11,1,13,1,9,3,13,3,30,1,13,2,9,1,16,1,9,1,11,3,9,2,13,2,6,1,13,4,9,2,13,1,11,1,16,4,11,1,16,3,9,1,17,1,28,1,30,6,29,1,30,1,29,1,28,1,30,3,28,1,30,7,28,2,30,1,6,1,30,1,28,1,30,6,6,6,30,1,6,1,30,3,28,1,30,6,28,1,30,1,6,3,30,5,6,1,30,4,8,1,13,3,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,3,6,1,30,3,28,1,30,1,28,1,30,10,28,1,6,1,30,1,29,1,30,2,6,1,28,1,6,2,30,2,28,1,30,2,28,1,30,3,6,1,28,2,30,4,28,1,30,2,28,1,30,1,28,1,6,1,30,7,13,1,9,1,6,3,30,1,6,2,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,3,6,1,30,1,28,1,29,1,28,1,30,3,28,2,30,1,28,1,6,3,30,4,6,1,28,1,30,5,6,2,30,2,6,2,30,1,6,1,28,1,30,6,29,1,30,3,28,1,30,1,6,1,30,3,6,1,28,1,30,3,28,1,6,1,30,1,28,3,30,1,28,1,30,4,28,1,30,2,6,1,30,1,6,2,30,2,28,1,30,3,28,1,30,1,6,1,30,1,28,1,6,4,30,1,6,1,30,1,6,3,7,1,30,1,13,1,30,1,6,2,30,1,29,1,30,1,6,2,13,1,28,1,13,1,29,1,6,1,7,1,30,1,29,1,6,3,7,1,6,5,30,2,6,1,30,1,6,1,30,2,6,1,28,1,6,1,30,1,6,1,30,3,6,1,30,1,7,1,6,1,8,1,6,2,13,1,6,2,13,2,30,1,6,1,30,7,6,1,28,1,6,2,7,1,6,1,13,2,6,3,30,5,13,2,30,1,28,1,30,1,29,1,6,9,28,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,2,13,1,7,1,6,1,30,1,6,2,29,1,6,2,30,1,29,2,30,2,6,3,28,2,13,1,10,1,9,2,10,2,9,2,10,1,8,1,9,2,8,1,13,1,9,3,8,3,9,1,24,1,8,1,24,1,9,4,12,1,10,1,12,1,9,1,12,1,17,1,10,1,12,1,17,1,9,1,10,1,12,3,8,3,24,1,8,1,13,1,8,1,13,7,6,3,29,1,7,1,28,8,30,1,17,1,9,1,24,1,6,1,29,1,28,7,6,1,13,1,8,1,13,1,7,1,30,1,6,1,30,1,29,1,28,1,30,2,28,9,30,1,28,16,29,1,28,1,7,2,13,1,7,1,8,1,7,1,8,1,30,2,28,1,30,1,28,3,30,1,28,1,6,1,7,1,8,1,17,2,10,3,11,1,9,2,11,1,13,1,9,1,11,1,8,2,10,1,9,1,10,1,9,1,11,1,17,1,11,1,9,1,10,3,9,2,10,2,13,1,8,3,11,1,8,2,13,1,8,1,24,1,13,2,9,1,24,1,8,2,24,1,12,1,8,1,17,2,10,1,17,1,24,1,10,1,8,2,10,1,24,1,12,1,8,1,10,1,8,2,24,2,9,2,12,1,8,1,17,1,10,1,12,2,9,1,12,1,10,1,8,1,10,1,12,2,7,1,24,1,13,1,24,1,8,1,7,1,24,1,13,1,8,1,29,1,6,1,7,1,6,2,29,1,6,1,29,1,7,1,6,1,7,1,8,1,25,1,24,2,8,2,25,1,24,1,8,1,6,1,12,1,24,2,25,1,8,1,6,1,25,2,27,1,29,1,6,2,30,2,29,1,6,1,30,1,8,1,13,1,24,3,8,1,24,2,17,1,9,2,12,1,10,1,24,1,10,1,12,2,6,1,8,1,13,1,29,1,7,1,30,2,29,1,28,1,30,1,7,1,6,1,29,1,30,3,29,1,28,2,29,1,30,2,6,1,28,2,29,1,30,1,28,1,7,1,29,1,28,1,30,2,6,2,7,1,25,4,24,2,8,1,25,1,24,1,10,1,12,1,7,1,24,1,30,2,28,20,29,1,28,1,6,1,28,5,30,1,28,9,29,1,28,1,30,2,6,1,28,1,6,1,29,2,13,1,8,1,29,1,7,1,24,1,29,1,8,2,24,1,7,1,12,1,8,1,30,1,24,3,10,1,8,1,24,1,13,1,8,1,12,1,13,1,24,1,12,1,17,1,12,1,24,2,12,1,17,2,11,1,12,1,9,1,11,1,10,3,11,1,12,1,24,1,17,1,10,1,9,2,10,1,11,2,17,1,12,2,10,2,17,1,12,1,17,18,12,2,17,1,11,2,7,1,28,3,30,1,6,1,8,1,13,1,8,1,13,1,7,1,28,58,29,1,7,1,13,3,8,2,9,2,7,1,8,1,13,2,8,1,9,1,13,4,7,1,30,1,29,1,28,9,13,1,9,1,13,1,9,1,13,1,8,1,9,4,8,1,9,1,8,1,13,1,8,2,9,1,8,3,13,1,7,1,9,1,13,2,28,38,30,1,28,1,30,2,6,2,13,1,9,1,13,5,6,1,8,1,13,1,8,1,13,2,9,1,13,3,6,1,11,1,9,1,10,1,9,1,11,2,9,1,11,3,9,1,11,2,9,1,11,1,16,1,9,1,11,3,9,3,10,1,9,1,11,4,9,1,10,1,11,3,16,1,11,1,9,1,11,1,9,1,11,2,9,1,11,2,16,1,11,2,16,1,11,2,16,3,11,1,16,3,11,2,16,1,11,1,16,5,11,1,17,2,16,4,11,1,16,1,11,2,16,4,17,1,11,1,16,2,17,1,16,1,17,1,16,12,11,1,13,1,28,2,30,1,28,12,29,1,10,1,11,1,12,1,15,1,8,1,13,1,6,1,29,1,6,2,29,1,6,2,29,1,7,1,29,1,28,1,29,1,6,1,7,1,6,1,29,1,8,1,24,1,9,3,24,1,8,1,28,2,30,1,28,4,12,2,13,1,30,2,28,35,8,1,12,1,8,1,30,2,28,1,29,1,10,1,8,1,13,1,29,2,7,1,28,1,6,1,30,1,7,1,8,1,15,1,10,2,8,1,15,1,12,2,9,1,24,1,13,1,8,1,13,1,30,1,6,2,29,1,6,1,28,1,30,1,29,1,8,2,17,3,12,2,16,1,9,1,11,1,17,2,9,1,17,1,8,1,9,1,12,1,17,2,8,1,9,1,8,3,13,2,24,1,13,1,8,1,13,1,8,1,13,1,24,1,11,1,17,1,9,1,6,1,10,1,13,1,7,1,9,1,17,1,15,1,12,1,9,1,10,1,8,1,9,1,8,2,10,1,12,1,17,1,9,2,8,1,13,1,7,1,8,2,17,1,24,2,6,1,9,1,12,1,8,1,10,1,8,1,9,1,}, {13,2,9,1,13,1,9,3,11,2,12,1,14,2,12,1,10,1,9,1,8,1,10,1,9,2,10,1,13,1,14,1,11,1,16,1,10,1,9,1,24,1,8,1,24,1,9,1,8,1,12,1,17,1,11,1,12,2,9,1,12,1,24,1,9,1,8,1,12,1,9,1,15,2,17,3,9,1,12,1,17,2,12,1,17,3,15,1,12,1,17,1,11,2,12,1,16,2,12,1,17,2,16,1,14,1,17,1,15,1,6,1,7,1,30,1,6,1,13,1,8,1,11,1,24,1,6,1,29,1,28,10,30,1,6,1,30,1,29,1,9,1,17,36,9,1,11,1,10,1,17,4,11,1,10,1,9,1,13,1,24,1,9,1,8,2,13,1,30,2,28,2,30,2,28,2,6,1,13,1,12,1,9,1,28,6,6,1,24,1,16,1,8,1,13,1,6,1,13,2,8,1,24,1,8,1,12,1,11,1,10,2,16,1,14,1,15,1,9,1,13,2,6,1,9,1,29,1,28,31,30,1,28,5,6,1,30,1,13,1,14,1,13,1,28,1,29,1,28,1,30,1,28,1,13,1,17,5,24,1,10,1,9,2,30,1,7,1,28,1,30,1,6,1,30,1,7,1,29,1,6,3,13,1,6,2,8,1,24,2,8,2,17,1,14,1,15,1,30,1,28,9,30,1,28,4,30,1,13,1,30,1,28,1,30,1,6,1,28,1,6,1,28,1,30,3,6,1,28,1,30,3,28,1,30,1,28,2,6,2,30,1,28,1,30,4,28,7,6,1,28,2,30,1,28,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,28,1,30,2,28,2,29,1,28,4,30,1,28,1,29,1,30,2,28,1,6,1,28,1,30,2,13,1,7,1,6,1,13,1,9,1,10,1,9,2,13,1,9,2,13,1,9,2,13,1,7,1,8,1,13,1,9,1,13,1,9,2,8,2,9,2,8,2,11,1,8,1,9,1,13,1,8,1,9,1,8,1,10,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,8,1,9,5,8,1,9,3,11,1,9,2,10,1,11,2,16,1,8,2,9,2,6,1,13,2,6,3,13,1,28,1,6,1,29,1,28,1,6,1,13,4,8,1,6,1,9,2,7,2,9,2,11,1,12,1,17,1,16,1,9,1,6,1,7,1,6,1,7,1,29,1,13,1,8,1,9,1,7,1,6,1,7,1,13,2,8,1,13,1,7,1,9,1,13,2,24,1,9,1,6,1,13,1,8,1,13,2,6,1,8,1,30,1,8,1,6,1,29,1,7,1,13,2,9,1,13,2,9,1,8,1,9,1,13,3,9,1,8,1,6,1,8,1,13,2,16,1,17,4,16,4,11,2,17,1,11,1,16,1,11,5,9,1,11,1,16,2,11,1,9,1,16,1,11,1,16,1,11,1,16,1,9,2,11,1,9,1,10,1,11,1,10,1,11,1,16,2,11,2,16,4,11,1,16,1,11,2,16,1,11,2,16,1,9,1,11,1,16,1,11,3,9,1,11,1,9,2,11,4,9,1,16,1,8,1,11,1,9,1,13,1,11,1,9,2,11,1,8,1,11,2,9,1,11,1,16,1,11,1,16,1,9,1,17,1,11,3,9,1,16,1,9,2,16,1,9,1,11,3,9,2,11,1,10,1,12,1,17,5,12,1,9,1,12,1,17,1,9,1,10,1,13,1,9,2,24,1,9,1,13,1,24,1,8,1,7,2,13,1,6,1,7,1,13,1,29,1,6,1,7,1,6,1,28,1,29,1,28,1,30,1,29,1,30,2,29,2,28,10,6,1,30,1,6,1,29,1,6,1,30,1,6,1,8,1,6,1,13,1,9,1,13,4,9,1,13,1,9,1,13,4,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,1,16,2,11,1,16,1,11,3,16,1,9,2,10,1,9,1,11,2,8,1,9,4,11,1,8,1,11,1,9,2,8,1,11,1,16,1,9,6,11,1,16,1,11,1,10,1,11,1,9,2,17,1,9,3,16,1,9,1,8,1,9,1,11,1,9,1,11,1,9,3,11,1,9,2,8,1,11,1,9,3,8,1,11,1,9,3,8,1,16,1,9,2,8,1,11,1,8,1,9,2,8,1,9,1,11,1,9,4,11,1,13,1,9,1,13,1,9,1,13,1,8,3,10,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,8,1,13,1,9,2,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,3,8,1,11,1,9,2,13,1,9,4,11,2,9,3,13,1,9,3,8,1,9,1,8,1,9,3,13,1,8,1,7,1,8,2,13,1,9,1,13,2,6,1,29,2,13,1,6,4,13,1,9,1,17,18,9,1,13,1,7,1,8,1,9,1,10,1,9,1,13,1,10,1,17,1,11,2,9,1,16,1,8,1,10,1,9,1,8,2,9,1,8,1,9,1,13,1,9,1,24,1,13,1,8,3,9,1,24,1,8,1,9,1,8,1,12,1,8,1,9,1,16,1,10,1,9,1,11,1,10,1,9,3,16,1,17,1,12,1,17,1,9,1,17,15,11,1,16,1,17,1,10,1,16,1,11,1,16,1,9,1,16,1,11,1,16,1,9,1,17,2,11,1,16,1,11,1,8,1,16,1,10,1,17,5,11,1,17,2,16,3,9,1,16,1,17,1,11,1,17,1,16,1,17,1,16,1,11,1,17,1,16,2,11,1,17,2,11,1,16,1,11,1,17,1,11,1,10,1,11,1,8,1,16,1,11,2,17,2,16,1,10,1,16,2,11,2,16,1,11,4,17,1,16,2,17,2,16,1,17,1,16,2,17,4,16,1,17,4,16,2,17,11,16,1,17,1,11,2,9,2,13,1,9,2,13,4,6,3,13,1,11,2,16,1,11,3,9,1,13,6,6,1,13,2,9,1,13,1,16,6,17,1,16,2,17,1,30,4,6,2,30,2,29,1,30,1,6,3,30,4,28,1,30,1,28,1,30,3,28,1,30,2,6,1,28,1,30,1,6,1,30,1,6,1,29,1,30,2,6,1,30,7,28,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,30,2,6,1,30,2,6,1,30,1,28,1,6,1,30,1,6,2,30,1,6,1,28,1,30,1,8,1,30,1,6,1,30,1,13,1,30,2,29,1,30,4,28,2,6,1,30,4,29,1,30,1,6,2,30,2,28,1,30,1,29,1,30,4,28,1,30,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,30,4,6,1,29,1,30,2,28,1,30,7,28,3,30,5,28,1,30,9,9,1,30,1,29,1,28,2,6,1,30,1,29,1,28,1,6,1,30,3,28,3,30,3,6,1,28,1,6,1,30,4,6,1,30,2,6,2,30,1,6,1,30,1,28,1,6,1,30,2,6,1,30,1,28,1,30,2,28,1,6,1,30,1,28,2,6,1,30,5,28,1,30,4,6,1,29,1,7,1,28,1,30,2,6,2,30,1,28,1,6,1,30,2,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,29,1,28,1,30,3,28,2,30,6,29,1,6,1,30,2,28,1,30,1,6,1,28,1,30,1,6,2,30,1,6,3,30,1,29,1,30,1,6,1,7,1,30,3,6,1,13,1,6,2,30,3,13,1,28,1,30,2,6,2,7,1,6,3,7,1,6,1,29,1,13,1,30,1,6,1,30,1,6,1,30,3,6,3,30,3,6,2,28,1,30,1,6,1,13,1,8,1,13,3,7,1,6,2,30,1,6,2,13,1,6,1,28,1,30,4,6,1,30,1,28,1,6,1,30,2,6,5,28,2,30,1,6,2,13,1,9,1,6,2,30,1,13,2,6,1,13,2,6,2,7,1,6,1,30,1,7,1,30,5,6,1,30,2,6,1,29,1,7,1,6,1,30,1,6,1,28,16,9,1,8,1,9,3,10,1,9,1,11,2,9,8,8,1,9,1,8,1,10,1,8,1,9,2,8,2,10,1,17,1,10,2,24,1,12,1,10,1,12,1,24,1,10,2,24,1,9,1,12,1,10,1,12,1,10,1,9,1,24,1,8,1,24,1,13,2,8,2,13,1,8,1,13,1,7,1,8,1,7,1,6,1,13,1,6,1,28,9,29,1,12,1,8,1,13,1,8,1,7,1,30,1,28,7,30,1,6,1,7,1,6,1,13,1,6,1,29,1,30,1,28,2,29,1,28,1,30,1,28,8,30,1,28,10,30,1,28,2,30,1,29,1,28,1,30,1,6,1,30,1,7,1,29,2,6,1,28,8,29,1,28,1,29,1,7,1,8,1,9,1,17,1,11,1,10,1,11,2,9,2,10,1,9,4,10,1,11,1,9,2,10,1,9,2,12,1,10,1,12,1,9,2,12,1,17,1,10,1,9,3,10,1,8,1,13,1,8,2,9,1,10,1,8,1,10,1,13,1,8,4,17,2,9,1,24,2,13,1,12,1,24,1,8,1,12,1,24,3,8,1,24,2,10,1,12,1,8,1,10,1,13,1,24,2,8,1,9,2,24,1,12,1,10,1,8,1,24,1,9,1,10,1,12,1,24,3,13,1,8,2,13,3,7,2,8,1,6,1,28,1,29,1,6,1,7,1,29,1,30,1,29,2,13,1,6,1,25,2,7,1,24,1,13,1,7,1,6,1,24,1,25,1,8,1,6,1,25,4,26,1,25,1,24,1,26,1,29,1,27,1,6,1,29,1,6,2,7,1,13,1,8,1,10,1,24,1,12,1,10,1,9,2,12,1,9,1,8,1,24,1,10,2,6,1,24,1,13,1,24,2,29,1,25,1,6,1,29,1,30,1,29,1,6,1,28,1,6,2,29,1,28,2,6,2,29,1,30,2,29,1,30,1,28,2,29,2,28,1,29,2,28,1,7,1,29,1,7,1,29,1,25,1,6,1,26,1,25,1,26,1,25,1,24,2,8,1,24,4,13,1,28,22,30,1,28,2,30,1,28,11,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,3,6,1,7,1,29,1,7,1,6,1,29,1,7,1,24,1,13,1,8,1,13,1,8,1,10,1,7,1,8,2,10,1,24,1,13,1,24,2,8,1,10,1,24,1,6,1,24,1,12,1,10,2,12,2,13,1,9,1,8,1,9,1,8,1,10,1,9,2,10,1,8,2,12,2,9,3,12,1,9,1,17,4,9,1,24,1,8,1,17,19,11,1,17,2,11,1,10,1,13,1,28,4,6,1,13,1,8,2,7,1,30,1,28,54,30,2,13,1,9,1,13,3,8,1,9,2,8,1,9,1,8,1,13,6,8,2,9,1,28,13,13,3,9,1,8,4,10,1,9,1,8,1,9,2,8,1,13,1,9,1,8,2,13,2,9,1,13,5,30,1,28,45,30,1,6,1,30,1,6,1,13,1,6,3,13,1,9,1,13,1,6,1,13,1,8,1,13,1,7,1,9,1,13,7,8,2,9,1,13,3,9,1,13,1,9,1,13,1,9,1,11,3,16,1,9,1,16,1,11,1,16,1,9,3,11,2,9,1,11,1,16,1,9,4,11,1,9,3,16,1,11,1,9,1,11,1,9,1,16,1,11,5,17,1,11,1,16,1,11,2,10,1,16,4,11,3,16,5,11,1,16,3,17,1,11,1,16,1,17,1,16,9,11,1,16,1,11,1,16,4,17,1,16,1,17,1,16,1,11,1,7,1,28,15,6,1,12,2,15,1,12,1,24,1,8,1,13,1,6,2,7,1,30,2,6,2,30,1,6,1,30,1,29,1,30,1,6,1,7,1,13,1,24,1,12,1,9,2,24,1,13,2,28,6,29,1,24,1,10,1,8,1,7,1,28,36,7,1,12,1,24,1,30,1,28,2,30,1,8,1,9,1,8,1,6,2,28,1,30,2,29,1,6,1,29,1,8,1,10,1,9,1,12,1,9,1,12,1,24,1,10,1,24,2,13,1,8,1,7,1,6,1,13,1,6,1,30,1,6,1,29,1,6,1,13,2,12,1,17,2,11,2,17,1,9,1,11,2,17,1,11,1,24,1,11,1,16,1,12,1,16,1,9,1,24,1,9,1,10,1,9,2,8,2,10,1,8,2,13,1,9,1,13,2,8,1,17,1,10,1,9,1,17,1,29,1,9,1,13,1,14,1,15,1,10,1,12,1,24,1,8,1,13,1,24,1,9,1,12,1,17,1,12,1,24,1,10,1,6,1,13,1,6,1,8,1,9,1,12,2,7,1,8,1,7,1,12,1,24,2,8,1,13,1,}, {24,1,9,1,13,1,8,2,24,1,9,1,17,1,9,1,15,1,11,1,17,1,14,1,8,1,9,1,8,1,15,1,24,1,8,2,9,1,15,1,14,1,10,1,15,2,24,2,13,1,8,1,12,1,17,1,9,1,17,1,12,1,9,1,24,1,9,1,17,6,12,1,17,3,11,1,17,3,10,1,11,1,17,7,12,1,16,2,17,5,8,1,30,4,6,1,13,1,8,1,11,1,15,1,28,1,30,1,28,10,30,1,6,1,28,2,8,1,17,36,16,1,11,1,17,4,16,1,9,1,8,1,13,1,8,2,24,1,12,1,13,2,30,3,28,1,30,2,28,2,30,1,7,1,8,1,9,1,28,6,6,1,24,1,17,1,8,2,13,3,24,1,8,1,10,1,9,1,12,1,10,1,11,1,15,1,17,1,11,1,13,1,7,1,8,1,6,1,8,1,24,1,28,28,6,1,28,4,29,1,28,4,6,1,24,1,17,1,6,1,30,1,28,2,30,1,29,1,7,1,17,1,11,1,17,2,12,1,8,1,9,1,6,1,7,2,29,2,30,1,28,1,6,2,13,1,6,1,30,1,6,2,7,1,6,1,8,1,12,1,24,1,9,1,8,1,17,1,14,1,10,1,28,6,30,1,28,8,29,1,7,1,6,1,28,3,30,1,29,1,28,2,6,1,28,2,29,1,30,1,29,1,30,1,28,1,7,1,6,1,29,1,28,2,7,1,6,1,28,1,30,1,28,6,30,1,29,1,30,1,28,3,29,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,2,13,1,29,1,30,1,28,1,30,1,28,3,30,1,6,1,28,1,30,1,6,2,30,1,29,1,28,1,29,2,28,2,29,1,6,1,29,1,6,1,8,1,13,3,8,1,9,2,8,1,9,1,8,2,9,1,8,1,13,1,9,1,8,1,9,1,10,1,8,1,9,1,8,1,10,1,8,1,13,1,9,1,13,2,9,1,8,1,13,2,9,1,13,1,9,1,11,1,9,2,16,1,8,2,9,2,11,1,9,1,13,1,9,1,13,1,9,1,8,1,9,2,10,1,9,2,17,1,9,2,10,1,13,1,7,1,13,1,6,1,29,1,30,1,6,1,30,1,7,1,30,1,8,1,7,1,30,1,6,1,29,1,6,1,13,1,6,1,8,2,7,1,8,1,13,2,8,1,13,1,10,1,16,1,9,3,13,3,6,1,13,1,7,1,6,2,29,1,13,2,28,1,8,1,13,2,6,1,8,1,13,5,7,1,13,2,6,2,13,1,6,1,8,1,7,1,6,1,13,7,8,1,13,2,9,1,8,1,13,1,6,1,13,1,6,1,13,1,8,1,17,4,16,5,17,1,11,1,17,1,16,1,11,1,16,1,9,1,11,1,9,1,16,1,9,1,10,1,11,3,9,2,11,2,9,1,11,1,16,1,9,1,11,1,9,2,16,3,11,1,16,1,10,1,11,2,16,2,11,4,16,1,17,1,11,1,16,2,9,1,11,3,9,1,10,1,16,1,9,2,16,1,9,1,10,1,16,1,11,1,9,1,11,4,16,1,9,1,11,2,9,3,11,2,9,1,16,4,17,1,11,3,16,1,11,5,9,2,11,2,9,1,16,1,9,1,16,1,11,1,17,10,11,1,9,1,24,2,8,1,9,2,13,1,8,1,7,1,8,1,6,1,7,1,6,1,30,1,6,1,28,1,30,1,29,1,6,1,28,1,30,3,28,3,30,1,28,1,30,2,28,4,30,1,28,1,29,1,30,1,28,1,6,1,29,1,13,1,7,1,13,1,6,1,13,2,6,1,8,2,13,1,8,1,13,1,11,1,6,1,9,1,13,1,9,1,13,1,9,2,11,2,9,1,11,3,16,1,9,1,11,1,16,1,11,4,9,2,11,1,9,1,8,1,9,1,11,1,9,1,11,2,9,1,10,1,9,4,8,1,11,1,9,3,8,1,9,1,11,1,9,3,10,1,9,1,11,2,9,1,10,1,9,3,11,1,9,3,11,1,9,1,11,1,9,1,11,1,10,1,13,1,9,2,8,1,9,2,13,1,11,1,9,2,8,1,9,2,13,1,9,2,11,1,9,2,11,2,9,3,10,1,8,1,13,2,8,1,13,1,9,3,13,1,11,1,13,1,9,1,11,1,9,1,13,1,9,1,8,1,13,1,8,1,9,7,13,1,9,1,8,2,9,1,13,1,9,1,8,2,9,1,13,1,9,2,13,1,9,1,13,1,8,1,9,2,13,2,11,3,9,1,11,1,8,1,9,1,11,1,9,2,13,1,10,1,9,1,11,1,9,5,13,3,8,1,13,5,6,2,7,1,29,1,6,2,13,2,11,1,17,14,12,1,17,1,16,1,17,1,9,1,13,2,9,3,11,1,9,2,11,1,10,1,9,1,11,1,10,1,11,1,9,2,8,4,13,1,9,1,7,1,8,1,9,2,13,1,24,2,9,1,8,1,9,3,12,1,9,1,10,1,12,1,9,1,16,1,17,1,11,2,9,1,12,1,9,1,16,1,17,11,16,1,17,4,16,1,11,1,13,1,11,1,9,1,11,2,16,3,11,1,17,2,16,1,11,4,16,2,11,1,17,1,11,1,17,6,16,1,11,1,17,3,9,1,17,1,11,1,16,1,9,1,16,1,10,1,17,1,16,2,17,1,9,1,11,1,16,1,11,1,9,1,16,1,9,1,8,3,16,3,11,1,9,1,17,1,16,1,11,1,17,1,16,1,17,1,16,2,11,2,10,1,16,1,9,1,16,2,11,1,9,1,16,2,17,1,11,1,17,1,11,1,17,3,16,2,17,1,16,2,11,2,17,9,16,1,9,1,11,2,9,1,13,1,9,1,13,3,6,1,13,3,6,1,13,1,6,1,9,2,11,1,9,1,11,1,9,1,11,1,9,1,13,3,6,2,13,1,7,1,13,3,9,1,11,2,16,5,17,2,28,1,30,3,6,1,30,1,6,1,30,2,6,1,30,5,28,2,30,4,28,1,30,3,28,1,30,2,28,1,30,3,29,1,28,1,6,1,30,2,6,2,30,1,28,1,30,1,28,1,30,3,29,1,30,6,6,1,28,1,29,1,13,1,30,2,6,2,30,3,28,1,30,1,6,1,8,1,13,1,6,1,7,1,6,5,28,1,30,1,6,2,30,7,6,1,30,1,29,1,30,1,6,2,30,10,28,1,30,2,29,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,3,6,1,29,1,28,1,6,1,30,1,28,2,30,1,28,1,30,1,29,1,30,1,28,1,30,1,6,3,13,1,6,2,30,2,6,1,30,1,28,1,30,1,6,3,30,4,28,1,30,2,6,3,30,1,29,2,6,1,30,2,28,1,30,2,29,1,6,2,30,5,6,1,28,1,6,2,28,1,30,1,28,1,30,1,28,1,30,2,29,1,28,1,30,5,28,1,6,1,30,3,28,1,29,1,28,3,6,1,30,3,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,6,1,30,2,6,1,7,1,30,4,6,1,30,1,6,1,28,1,30,2,6,1,30,3,29,1,30,1,6,2,29,1,30,1,28,1,30,2,29,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,13,13,1,6,4,30,1,6,1,29,1,30,1,6,4,30,3,6,1,28,1,6,1,30,1,6,2,29,1,6,1,9,1,13,2,6,1,13,1,30,1,6,1,13,1,29,1,30,1,6,2,30,2,6,1,30,1,6,1,30,1,13,2,6,2,30,1,6,1,13,1,6,1,29,1,6,1,13,1,7,1,13,1,9,1,8,1,13,2,30,1,6,1,30,1,29,2,30,1,6,3,30,1,6,2,29,1,30,4,6,4,13,2,7,1,6,1,30,1,6,1,28,3,6,1,13,1,9,1,12,1,17,4,11,1,13,1,6,1,13,2,9,2,10,1,9,3,12,1,11,2,10,1,11,1,9,1,10,1,8,1,9,3,24,1,8,1,9,2,24,1,9,1,8,2,10,3,9,2,24,2,9,1,12,1,24,1,10,3,24,1,12,1,9,1,24,1,10,2,8,1,24,3,8,1,13,4,8,2,13,1,7,1,13,1,6,1,28,12,24,1,13,1,8,1,29,1,6,1,28,10,7,1,6,2,25,1,28,1,6,2,30,1,29,1,28,3,30,1,28,4,30,1,28,10,30,1,28,3,30,1,29,1,28,5,30,3,28,9,30,1,28,1,30,2,13,1,9,1,17,1,9,3,11,1,10,1,9,1,11,2,8,2,10,1,8,1,9,1,11,1,9,2,12,2,9,1,10,1,11,1,9,1,11,1,10,1,8,1,11,1,9,1,8,1,9,1,12,1,8,1,24,1,13,2,8,2,6,1,13,3,12,1,17,2,12,1,8,2,24,1,13,1,24,1,8,1,24,1,8,1,24,1,10,1,24,1,12,1,7,1,8,3,9,1,8,1,9,1,8,2,9,1,8,1,24,1,12,1,13,1,12,1,24,2,10,1,24,1,8,1,24,1,8,1,10,1,24,1,13,1,8,1,24,1,6,1,7,1,8,1,29,1,7,1,6,1,30,1,6,1,30,1,6,2,13,1,6,1,7,1,13,1,30,1,6,1,8,2,7,3,8,1,24,1,8,1,13,1,25,1,7,1,25,2,7,1,27,2,29,1,30,1,6,2,25,1,30,1,25,1,7,1,6,1,7,1,24,2,8,2,10,1,24,1,12,1,24,1,9,1,24,1,10,1,12,1,13,1,17,1,24,1,10,1,24,1,13,1,8,1,25,1,30,2,26,1,28,1,29,1,28,2,30,4,28,1,30,1,28,2,30,2,29,1,28,1,29,1,30,1,28,1,30,1,28,4,29,1,28,1,6,1,30,1,6,1,25,3,8,2,24,3,8,2,24,2,8,1,29,1,28,14,30,1,29,1,28,3,29,1,28,4,29,1,28,1,30,1,28,8,30,1,28,6,6,1,28,3,29,1,30,1,6,2,8,1,6,1,13,2,8,3,6,1,8,1,29,1,8,1,13,1,8,1,12,1,8,1,24,1,10,1,8,1,24,1,13,1,12,1,8,2,9,1,17,2,9,1,24,1,12,2,17,1,9,1,17,1,10,2,9,1,24,1,9,1,8,1,12,1,9,1,12,1,8,1,9,1,8,1,17,4,11,1,17,1,9,1,17,1,11,1,12,1,17,1,12,1,17,1,12,2,17,11,11,1,17,1,11,1,10,1,13,1,28,4,6,1,13,4,28,52,30,1,6,1,7,2,13,1,9,1,8,1,9,3,10,1,8,1,9,1,13,2,8,1,9,1,10,1,8,1,13,1,6,1,7,1,29,1,30,1,28,14,13,1,10,1,9,1,13,1,9,1,13,3,8,3,9,3,13,1,9,1,13,1,8,2,9,1,13,2,9,1,13,4,29,1,28,53,6,1,28,3,30,1,29,1,7,2,13,1,7,1,13,6,8,3,13,1,8,1,9,1,13,1,6,1,10,1,8,1,9,1,16,1,11,3,16,1,11,1,16,5,9,2,11,2,9,1,11,2,9,3,11,2,9,2,11,1,10,1,16,1,11,3,16,1,11,2,9,3,11,4,9,1,11,1,9,1,11,1,9,1,11,3,9,1,11,1,10,1,11,5,16,1,11,1,16,2,11,1,16,1,11,1,16,2,11,4,16,2,11,2,16,2,11,1,16,4,11,1,6,1,28,15,6,1,9,1,12,1,17,1,15,1,10,1,13,1,29,1,30,1,6,1,13,1,30,1,29,1,30,3,28,1,6,1,29,2,6,2,13,1,24,1,9,2,24,1,12,1,6,2,28,7,12,1,9,1,13,2,28,36,6,1,14,1,8,1,29,1,28,2,6,1,8,1,24,1,7,1,8,1,6,3,28,1,30,1,28,1,13,1,9,2,12,2,15,3,24,1,10,1,8,1,24,1,9,1,24,1,6,1,8,1,6,1,30,1,6,2,30,1,6,1,8,1,11,1,9,1,10,1,17,2,16,1,17,3,12,1,17,1,11,2,9,1,24,1,13,1,9,3,11,1,8,1,13,1,8,1,10,1,13,1,24,1,8,1,9,1,13,1,7,1,10,1,9,1,17,1,9,1,12,1,9,1,13,1,9,1,24,1,15,2,12,2,24,1,10,1,13,1,7,1,9,1,12,3,10,1,9,1,6,1,7,1,13,1,6,1,24,1,12,1,13,1,8,2,13,1,24,2,9,1,13,2,}, {24,1,8,3,13,1,24,2,17,1,9,1,14,1,12,1,14,1,15,1,9,2,8,1,9,1,14,1,8,1,13,1,10,1,9,1,11,1,12,1,17,1,10,1,9,1,13,1,12,1,8,1,17,3,12,1,17,1,12,1,9,1,12,2,17,9,15,1,17,3,12,1,17,3,16,1,17,1,12,1,17,8,16,1,28,1,6,1,7,1,28,1,29,2,28,1,6,1,7,1,15,1,24,1,28,13,30,1,28,2,9,2,11,1,17,34,8,1,11,3,17,2,11,1,9,1,8,2,24,1,8,3,13,1,6,1,30,1,28,4,30,2,28,1,6,1,8,1,13,1,10,1,30,1,28,5,6,1,9,1,12,1,24,1,13,2,7,1,13,1,8,1,13,1,9,2,12,1,9,1,16,2,15,1,10,1,8,1,13,2,6,1,8,1,6,1,28,32,29,1,28,4,6,1,30,1,24,1,10,1,8,1,28,2,30,1,28,1,29,1,8,1,17,1,16,1,17,3,6,1,13,1,9,1,13,1,29,1,7,1,28,1,6,2,13,1,6,2,29,1,7,1,6,2,13,2,8,1,9,2,8,1,9,1,17,1,16,1,11,1,6,1,28,17,30,3,28,1,6,1,28,1,6,1,30,2,28,1,6,1,30,1,28,1,30,2,29,1,28,3,6,1,28,2,30,1,28,2,29,1,28,1,30,2,28,2,30,1,29,1,30,2,28,1,30,2,28,3,30,1,29,2,28,3,6,1,28,1,30,2,28,2,6,1,28,2,30,1,6,3,30,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,7,1,6,1,13,1,8,1,6,1,9,1,13,2,8,1,13,1,8,1,9,4,10,1,8,3,9,2,8,1,11,1,9,1,8,2,9,2,8,1,10,1,9,1,13,1,11,1,9,1,11,1,9,1,11,1,13,1,10,1,9,5,11,1,9,2,11,2,9,2,8,2,10,1,13,1,8,1,6,1,13,1,6,1,28,1,30,1,28,1,29,1,28,1,13,2,6,3,13,1,28,1,13,1,7,2,13,2,8,1,13,3,7,1,8,1,13,1,11,1,16,1,9,2,8,1,13,4,6,3,8,1,7,1,29,1,8,1,9,1,13,2,7,1,6,1,13,2,9,1,13,1,8,2,7,1,8,1,13,2,6,1,13,1,6,2,13,1,6,1,30,1,9,1,6,1,24,1,10,1,7,1,8,2,9,1,8,1,9,2,24,1,9,1,6,1,29,1,13,2,17,3,16,1,17,1,16,8,11,2,9,1,11,3,16,3,11,1,10,1,16,1,8,1,16,1,9,1,16,1,11,2,16,1,9,1,16,1,10,1,9,3,11,1,10,1,9,1,16,3,11,2,17,1,16,2,11,1,16,1,11,1,16,1,9,1,11,1,16,1,9,1,11,1,8,1,16,1,11,1,9,1,11,1,9,4,11,1,9,1,11,1,9,3,11,1,10,1,9,1,11,1,10,1,11,1,9,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,2,11,1,17,1,10,1,9,2,8,1,9,1,8,1,9,1,10,1,9,3,11,1,16,1,11,1,17,5,12,1,9,2,17,2,10,2,8,1,24,1,13,1,9,1,13,1,9,1,8,1,13,2,8,1,13,1,29,2,6,1,28,1,6,2,30,1,29,2,28,1,29,1,28,2,30,1,28,1,29,1,28,8,7,1,30,1,28,1,30,2,6,1,13,2,6,1,13,1,8,1,13,1,29,1,24,1,7,1,9,1,8,1,24,1,8,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,11,3,16,2,11,1,16,3,11,1,9,2,11,1,9,3,11,1,8,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,11,2,9,2,8,2,11,1,9,2,11,1,9,5,8,1,9,1,11,1,9,1,16,1,9,1,11,2,9,1,8,1,11,1,9,5,10,1,8,1,9,3,10,1,11,1,9,1,13,1,9,1,11,2,9,5,10,2,9,1,11,1,9,1,11,1,13,3,9,2,8,1,13,1,9,1,8,1,9,3,8,2,13,1,11,1,13,4,9,2,11,1,9,2,8,1,9,1,11,1,8,1,9,1,8,1,13,2,8,1,9,1,13,1,8,1,13,3,9,3,11,1,9,1,13,1,9,1,10,1,9,5,10,1,9,2,8,1,13,1,16,1,9,2,11,1,9,2,13,1,9,3,13,2,8,2,7,1,13,2,29,1,30,1,13,1,30,1,28,1,6,1,29,1,7,1,17,3,16,1,17,13,11,1,17,2,13,4,10,2,9,2,8,1,11,1,9,2,13,1,9,1,13,1,8,1,9,3,13,2,6,1,10,1,13,1,24,1,8,2,13,1,8,1,9,1,8,2,9,4,11,2,9,2,11,1,10,1,9,1,8,1,10,1,9,2,17,1,16,1,17,3,11,1,17,11,9,4,11,2,16,1,11,1,17,1,16,2,17,1,16,1,17,1,11,2,16,7,17,6,16,1,17,4,9,1,17,1,16,1,10,1,17,1,16,1,17,1,16,1,17,2,16,1,17,1,9,1,16,2,8,1,9,2,16,1,13,1,8,1,9,1,10,1,16,3,10,1,17,1,11,1,10,1,11,5,16,1,17,1,16,2,11,1,16,4,17,1,16,3,10,1,16,2,17,1,16,3,11,2,17,1,16,1,11,1,17,9,11,1,9,1,16,1,11,1,9,1,13,9,30,1,13,2,9,3,11,1,9,2,11,1,9,1,13,10,9,2,11,1,16,1,11,1,16,2,17,2,28,1,6,1,30,1,6,1,30,1,29,1,30,4,28,2,30,2,28,1,30,2,28,1,30,3,28,2,30,1,28,1,6,1,28,1,30,1,6,1,28,1,6,1,30,2,28,1,6,3,30,2,6,1,30,3,6,1,30,6,29,1,6,1,30,1,28,1,6,1,30,1,6,3,7,1,29,1,30,3,28,1,30,1,28,1,6,1,13,2,6,5,30,2,6,1,30,2,6,1,30,2,6,2,30,2,6,1,30,1,6,3,30,1,6,1,30,7,6,1,30,3,6,1,30,2,28,1,30,3,6,1,28,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,1,28,1,6,1,30,1,28,1,30,2,28,1,30,4,29,1,30,3,28,1,30,1,13,2,28,1,30,2,6,1,30,2,6,1,30,1,29,1,30,3,13,1,28,1,30,2,28,1,30,1,28,1,30,4,29,1,30,1,28,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,4,6,1,28,2,29,1,30,1,6,1,28,1,6,1,30,2,29,1,30,1,28,2,30,13,28,1,30,1,28,3,30,1,28,2,30,4,28,2,30,3,28,1,6,1,30,1,29,1,30,2,28,1,30,6,6,1,30,2,6,2,30,3,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,29,1,30,3,6,2,30,1,6,4,30,1,6,3,30,1,13,1,6,3,13,1,6,2,29,1,6,1,30,1,29,2,30,2,6,2,30,1,6,3,30,1,6,3,30,1,6,1,7,1,8,1,13,1,6,1,13,3,30,1,13,1,29,1,6,1,30,1,29,1,30,4,7,1,6,1,13,2,6,1,13,2,6,3,13,1,30,1,8,1,13,1,8,2,7,1,6,1,30,1,6,1,30,1,6,2,30,1,6,2,7,1,6,1,29,1,6,1,30,1,6,1,7,1,6,1,28,1,30,1,13,1,28,6,30,1,6,1,9,2,17,10,11,1,10,1,12,1,11,1,9,1,11,1,9,2,10,1,9,1,11,1,9,1,10,1,9,3,10,2,8,1,24,1,9,1,8,2,9,2,24,2,9,1,8,1,13,1,12,1,10,1,13,1,9,2,24,1,13,1,9,1,10,1,12,1,9,1,24,3,10,2,12,2,8,1,12,1,8,5,24,1,13,3,7,1,13,2,30,1,28,13,9,1,13,2,29,1,7,1,28,11,29,1,6,1,7,1,6,5,30,1,28,1,6,1,28,2,30,2,28,4,30,1,28,11,30,3,28,18,30,1,7,1,13,1,9,1,10,1,12,1,9,1,11,2,9,1,11,2,9,1,8,1,9,4,10,3,24,1,9,2,10,1,9,2,11,1,9,1,10,1,9,1,13,1,10,1,8,2,9,1,24,1,8,1,6,1,13,1,6,2,30,1,13,1,9,1,12,2,9,1,24,1,6,1,9,1,13,1,7,1,8,1,24,1,13,1,8,1,12,1,24,1,12,1,8,2,10,1,8,1,12,1,7,1,24,3,8,2,24,1,8,1,10,1,8,1,24,1,12,1,10,1,13,1,24,5,12,2,8,1,7,2,13,1,29,1,6,1,28,1,6,1,28,1,29,1,30,2,13,1,6,3,7,1,29,1,26,1,7,1,6,1,8,1,6,1,25,1,8,1,6,1,7,1,6,1,24,1,25,2,6,1,25,1,29,1,7,1,6,2,29,2,30,1,6,2,27,1,25,1,8,2,24,1,7,1,10,1,24,1,8,1,10,1,9,1,10,1,9,1,24,1,12,1,24,1,10,3,13,2,8,2,6,1,29,1,30,1,25,1,28,1,30,1,29,1,28,1,30,1,6,1,28,1,29,1,30,1,28,1,29,2,28,5,6,1,30,2,28,2,30,1,29,1,28,1,6,1,29,2,6,1,7,1,25,1,8,1,25,1,24,1,8,1,12,1,24,4,6,2,28,16,30,1,28,5,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,8,29,1,28,3,29,1,28,4,29,3,6,1,7,1,8,1,6,3,8,1,7,1,24,1,13,1,24,1,8,2,24,1,13,1,8,1,24,1,13,1,12,1,29,1,10,1,24,1,9,1,24,1,10,1,24,2,10,1,8,1,12,2,9,2,17,1,9,1,12,1,10,1,12,1,11,1,13,1,9,1,17,1,9,1,11,1,9,1,17,3,12,1,17,1,12,2,17,1,11,1,10,1,17,2,11,1,17,16,9,1,30,1,28,4,6,1,8,1,7,1,6,1,28,47,30,1,28,3,6,3,8,2,13,3,8,2,13,1,8,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,6,1,30,1,28,17,6,1,13,1,8,1,9,1,8,1,9,1,13,1,8,1,13,2,9,3,8,1,9,1,11,1,13,4,9,2,13,1,8,2,9,1,13,1,8,1,30,2,28,65,30,1,28,1,30,1,6,1,30,1,13,3,6,1,11,1,9,1,13,1,9,1,8,3,13,1,9,2,10,1,9,1,17,1,9,1,11,1,9,1,16,2,11,2,9,1,11,1,9,1,11,1,16,3,9,1,11,1,9,1,11,1,10,2,9,1,16,4,9,1,11,2,10,1,16,2,11,1,9,1,11,2,16,1,11,3,16,1,9,1,16,1,11,2,9,3,11,2,16,1,9,1,11,2,9,1,11,1,16,2,17,1,16,5,11,4,16,5,17,1,16,1,10,1,7,1,28,15,7,1,12,1,9,1,17,1,12,1,7,1,29,1,7,1,8,1,29,1,13,2,30,4,29,1,28,1,7,1,29,1,7,1,8,3,10,1,9,2,12,1,11,1,29,1,28,6,30,1,24,1,8,3,28,36,7,1,11,1,24,1,28,3,13,1,9,1,13,1,7,1,6,3,28,1,30,1,28,1,30,1,6,2,24,1,15,1,12,1,15,1,17,1,12,1,24,1,9,2,10,1,24,1,13,1,9,1,13,1,8,1,13,1,29,1,6,1,29,1,6,2,8,1,24,1,9,1,24,1,17,3,12,1,17,1,10,1,17,1,12,1,16,1,10,1,24,1,12,1,8,1,11,1,8,2,24,3,9,1,8,1,13,1,10,1,13,1,8,2,13,1,9,1,17,1,24,2,8,2,7,1,8,1,14,1,15,2,10,1,8,1,10,1,8,1,7,1,9,1,8,1,17,2,10,1,8,1,24,1,8,1,13,1,8,1,9,1,17,1,13,3,8,3,9,1,24,1,13,1,}, {6,1,13,2,8,1,24,2,10,1,15,1,12,1,17,1,15,1,14,1,15,1,9,2,8,1,9,1,24,1,8,1,11,1,12,1,11,1,17,2,12,1,9,2,24,1,10,1,9,1,12,2,17,1,12,1,17,1,9,1,12,1,10,1,17,6,14,2,17,7,12,1,17,5,12,1,17,6,8,1,13,1,6,2,8,1,28,3,6,2,9,1,12,1,24,1,6,1,28,12,30,1,28,2,8,1,12,1,17,1,11,1,17,32,16,1,9,2,11,1,17,3,12,1,24,1,13,1,7,1,13,2,6,2,7,1,13,1,29,1,30,1,28,2,29,1,28,3,6,1,13,1,12,1,9,1,30,1,28,5,6,1,8,2,9,1,8,1,13,1,8,1,13,1,8,2,24,1,12,1,8,1,9,1,24,1,17,1,14,1,15,1,8,1,13,1,6,2,13,2,28,30,30,1,29,1,30,1,28,2,30,1,29,1,6,2,13,1,8,1,13,1,6,1,28,1,30,1,28,1,30,1,13,1,17,3,16,1,15,1,9,1,7,2,13,1,6,3,30,1,29,1,30,1,13,1,6,1,29,1,28,1,6,2,13,2,9,1,17,1,10,1,9,1,16,2,14,2,6,1,28,14,30,1,28,1,30,1,28,2,13,1,30,2,6,1,29,1,30,1,28,2,29,1,30,2,6,2,30,1,6,2,29,1,28,1,30,2,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,4,30,3,28,1,29,1,6,1,30,1,28,1,30,1,28,2,30,1,6,1,28,1,29,1,30,1,6,1,28,1,6,1,28,1,29,1,30,1,7,1,13,1,7,1,28,2,6,1,30,2,29,1,30,1,6,1,9,1,8,1,13,5,9,1,13,1,9,2,11,1,9,1,8,1,9,1,12,1,10,1,8,1,13,2,9,2,8,1,9,3,10,1,9,2,8,1,9,3,16,1,8,1,10,2,8,1,9,1,11,1,9,3,13,1,9,2,8,1,16,1,8,1,13,1,7,1,6,1,29,1,6,1,29,1,6,1,30,1,7,1,6,1,29,2,13,1,6,3,10,1,6,1,13,3,7,1,8,1,13,2,8,1,13,2,8,1,7,1,9,1,16,1,11,1,8,1,13,2,7,1,13,1,7,1,13,1,29,1,13,1,6,2,8,1,13,3,6,1,13,1,8,2,13,1,8,3,13,2,8,1,13,2,9,1,13,1,7,1,6,1,29,1,13,1,7,1,9,1,13,1,6,1,9,3,7,1,9,1,8,1,13,1,7,1,6,1,8,1,13,1,29,1,13,1,9,1,16,4,17,1,16,5,17,1,16,1,10,1,16,1,9,1,10,1,9,2,11,1,9,1,16,1,9,2,11,1,9,2,11,1,16,1,9,1,11,3,16,1,10,1,11,1,16,1,11,1,16,2,11,1,16,1,17,1,16,1,11,1,17,1,11,1,9,2,11,2,9,2,16,1,11,2,9,2,11,2,16,1,10,1,9,5,10,1,9,3,13,1,11,2,9,1,11,1,9,4,11,1,9,1,11,1,9,1,16,2,11,1,16,2,11,1,16,1,11,1,9,1,11,1,9,1,11,1,8,1,9,2,13,1,11,1,8,1,9,1,11,1,9,2,11,1,17,7,16,1,17,1,9,1,10,1,17,1,8,2,9,1,24,1,6,1,9,1,13,1,6,1,7,1,6,1,30,1,13,2,6,3,29,1,28,3,30,1,29,1,28,1,30,1,28,5,30,1,29,1,28,1,30,2,28,2,29,1,28,1,30,1,6,2,8,1,24,1,13,2,29,1,13,1,8,1,7,1,13,5,24,1,8,2,13,1,8,1,13,1,9,3,11,2,9,1,11,1,16,2,9,2,16,1,9,1,16,1,9,1,11,1,9,1,16,1,9,3,11,2,10,1,9,2,11,1,8,1,11,1,13,1,11,1,9,1,8,1,9,3,10,1,8,1,9,1,8,1,10,1,9,2,11,2,9,1,11,1,9,2,11,1,9,1,11,1,9,4,13,1,11,1,9,1,8,1,11,2,9,2,13,1,8,1,9,4,10,1,13,1,9,6,8,1,10,1,13,1,9,3,8,2,9,1,13,1,8,1,9,1,8,1,9,1,13,1,9,3,10,1,8,1,9,1,13,1,8,1,9,1,8,2,9,1,8,2,9,5,8,1,11,1,13,1,9,1,8,1,9,6,8,1,9,1,8,2,9,4,8,1,9,9,11,2,9,1,11,2,9,3,10,1,9,2,8,1,13,4,7,1,6,2,7,1,6,1,13,1,29,1,30,1,8,1,12,1,17,3,16,1,17,12,10,1,12,1,11,1,17,1,13,1,9,1,13,3,8,1,9,2,8,1,13,1,9,2,8,1,9,1,13,1,8,1,10,1,13,3,9,1,8,3,13,1,8,1,9,1,13,1,9,3,7,1,9,1,8,2,9,4,16,1,9,2,11,1,9,1,11,2,17,13,16,1,17,2,16,3,11,1,9,2,16,1,11,2,17,1,16,1,17,3,16,1,17,1,16,1,11,1,9,1,16,1,11,1,9,1,17,8,16,1,9,1,11,1,9,1,17,1,16,1,11,1,16,1,11,3,13,1,12,1,16,1,9,3,8,1,10,1,11,1,9,4,10,1,13,1,9,2,11,1,16,1,17,1,10,2,16,2,9,1,11,2,16,1,11,1,10,2,9,1,16,1,11,1,10,1,16,1,11,2,9,1,16,1,11,1,16,1,17,2,16,1,17,2,11,2,16,6,17,10,9,3,13,7,6,1,30,1,13,1,6,2,30,1,13,1,9,4,11,1,9,1,11,1,13,4,6,1,13,1,6,1,13,4,9,1,11,1,16,1,11,2,16,1,17,1,16,1,28,1,30,2,29,1,30,2,29,1,30,1,29,1,28,1,30,6,28,2,30,5,28,1,30,1,28,1,30,1,29,1,30,1,6,1,28,1,30,2,6,1,30,1,6,4,30,1,28,1,29,1,30,2,28,1,6,1,30,1,29,1,6,1,29,1,30,1,28,1,30,2,6,1,30,1,29,1,30,1,6,1,13,1,6,1,30,3,7,1,6,1,13,2,29,1,6,1,7,1,6,7,29,1,6,2,30,7,13,1,6,1,30,2,6,3,29,1,6,1,30,3,6,1,30,5,29,1,28,1,30,6,6,2,30,1,29,1,6,1,30,8,28,1,6,1,28,1,30,1,29,1,28,1,30,3,6,1,30,2,6,2,13,1,6,3,30,1,28,1,29,1,30,4,28,1,30,4,6,1,28,1,30,2,6,3,30,3,6,4,13,1,6,1,29,1,6,1,30,2,28,1,30,2,6,2,30,1,29,1,28,1,30,2,28,1,30,3,29,1,30,1,6,2,30,1,28,1,30,4,28,1,30,2,28,1,29,1,30,6,28,7,30,1,28,3,30,4,6,2,30,1,6,1,28,2,6,4,30,2,6,1,30,4,6,2,30,1,7,1,6,3,30,10,6,2,28,1,13,1,6,1,30,1,6,1,30,2,6,2,29,1,6,3,30,1,6,3,30,1,7,1,6,1,30,1,13,1,30,1,6,6,30,1,29,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,8,1,13,3,6,6,30,1,13,2,28,1,13,1,6,3,13,1,6,1,30,1,6,2,13,2,6,1,13,2,8,1,9,1,8,1,13,1,6,1,30,2,6,5,29,1,6,3,30,1,28,6,9,1,17,15,12,1,17,1,10,1,9,2,10,2,9,6,10,1,9,2,11,1,9,2,10,1,11,1,9,1,10,1,9,4,12,1,10,1,9,1,8,2,24,2,8,2,24,1,8,1,24,3,13,1,8,1,24,1,6,1,10,1,24,6,10,2,12,1,9,1,8,2,24,1,9,1,13,1,24,1,13,1,8,1,13,1,8,1,7,1,28,15,8,1,6,2,28,1,6,1,28,12,30,1,6,2,7,2,6,1,7,1,6,1,30,1,28,3,30,1,29,1,28,4,30,1,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,1,28,2,29,1,28,2,30,1,28,13,30,1,29,1,6,1,7,1,9,3,10,1,11,1,9,2,10,1,9,1,10,2,8,1,9,2,10,2,9,2,8,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,10,1,9,2,24,2,8,2,13,4,6,2,13,2,24,1,13,1,24,1,7,1,30,1,24,2,8,2,13,1,7,1,24,1,13,1,7,1,24,3,8,1,24,1,13,1,24,1,7,1,8,1,24,1,8,3,24,1,7,1,24,1,13,1,10,1,13,1,12,1,13,1,10,1,24,1,13,1,8,1,13,1,24,1,8,1,7,1,8,1,13,1,8,1,6,1,7,1,30,1,6,1,29,1,6,1,30,1,28,1,6,1,29,1,8,1,29,1,7,2,8,1,26,1,8,1,7,1,8,1,25,2,8,3,7,1,6,1,25,1,6,1,8,1,29,2,8,1,6,1,30,1,7,1,6,1,29,1,30,1,8,1,6,1,8,1,7,2,8,1,24,2,8,1,12,1,8,1,24,1,8,1,17,1,12,1,9,1,11,1,12,1,24,2,8,1,13,2,6,1,7,1,30,1,6,1,30,1,28,1,6,1,28,1,6,2,28,1,29,1,6,1,30,2,28,1,30,1,28,1,30,1,29,1,28,2,6,2,29,1,28,1,30,2,29,1,30,1,29,1,25,1,7,1,29,1,25,1,7,1,6,1,24,7,6,1,30,1,28,16,30,1,28,1,30,2,6,1,30,1,28,2,29,3,28,13,30,4,28,2,30,1,29,1,30,1,6,1,7,1,6,1,29,2,24,1,7,1,25,1,7,1,25,1,7,1,25,1,7,1,8,1,10,1,8,1,24,1,25,1,8,1,25,1,8,1,24,1,10,1,8,1,10,1,8,1,17,1,24,1,12,1,17,1,12,1,24,1,12,2,17,1,11,1,12,2,10,1,9,1,10,2,9,1,12,1,9,1,10,1,17,6,12,1,17,3,12,1,11,1,17,16,12,1,28,4,29,1,13,1,7,1,13,1,28,48,13,1,30,1,13,4,9,1,13,1,8,1,13,4,8,1,13,2,8,1,13,1,8,1,29,1,30,2,28,17,6,1,30,1,6,1,13,2,6,1,9,3,8,1,9,1,13,1,9,1,13,1,8,1,9,4,8,2,13,1,8,1,7,1,9,3,13,1,9,2,13,3,28,75,30,1,28,2,6,1,13,1,28,1,7,2,8,2,13,1,6,1,8,1,7,1,6,1,8,1,11,1,8,1,9,1,11,1,13,1,9,1,11,3,9,1,10,2,11,1,9,1,11,2,10,1,11,1,16,1,11,2,17,1,11,6,16,1,11,1,16,1,11,1,16,1,11,2,9,1,11,3,10,1,16,1,11,1,9,1,10,1,9,1,11,2,9,2,11,4,13,1,9,1,10,1,16,1,11,1,16,1,11,3,16,2,11,1,16,1,11,1,16,2,11,1,16,1,10,1,6,1,28,2,30,1,28,12,13,1,12,3,9,2,13,2,29,1,6,1,28,3,7,1,28,1,29,1,30,1,29,1,28,1,6,1,30,1,8,2,10,1,24,1,12,1,9,1,8,3,28,6,7,1,24,1,8,1,13,1,6,1,30,1,28,35,7,1,12,1,8,1,28,3,7,1,8,2,13,1,6,2,30,1,28,4,13,2,8,1,12,1,16,1,10,1,12,1,9,2,24,1,10,1,24,1,9,2,12,2,10,1,24,1,7,1,6,1,29,1,30,1,13,3,6,2,11,1,17,2,12,1,17,1,16,1,17,2,9,1,12,1,9,1,10,1,9,1,10,1,8,1,24,2,9,1,8,2,9,1,24,1,8,1,7,1,13,1,8,2,9,1,11,1,8,2,13,3,24,1,17,2,14,1,12,1,9,1,13,1,8,1,9,2,12,1,10,1,17,1,12,1,10,1,12,1,13,1,8,2,9,1,10,1,9,1,8,1,13,1,24,2,8,2,10,1,13,1,}, {13,1,24,1,13,1,24,2,8,1,15,2,17,1,9,1,17,1,15,1,17,1,15,1,8,1,11,1,8,1,9,4,12,1,17,2,10,1,9,2,8,2,9,2,17,1,10,1,17,1,12,1,17,1,16,3,17,4,14,1,17,1,14,1,17,3,16,1,17,1,9,1,17,1,16,1,17,1,12,1,17,4,16,1,17,1,12,1,17,3,8,2,13,2,30,2,28,3,6,1,24,1,15,1,6,2,28,15,7,1,11,1,9,1,17,24,12,2,9,1,10,1,11,1,24,1,10,1,14,2,16,1,24,1,8,1,9,1,16,1,17,1,12,1,9,1,8,2,13,1,8,1,24,1,8,1,13,2,6,1,28,1,30,1,28,3,30,1,28,1,6,1,29,1,8,1,10,1,9,1,6,1,28,5,29,1,8,1,17,1,9,1,11,1,8,3,13,1,15,1,10,1,8,2,16,1,13,1,9,1,14,1,15,1,9,1,8,1,6,1,13,1,6,1,13,1,28,31,6,1,30,1,28,5,29,1,24,1,8,1,24,1,30,1,28,1,30,1,28,1,30,2,17,2,16,2,9,1,8,1,13,1,6,1,13,2,30,1,6,1,30,1,6,4,29,1,30,2,13,1,30,1,8,1,24,1,12,1,16,1,12,1,9,1,17,1,14,1,10,1,6,1,28,14,29,1,7,1,6,1,30,1,6,1,28,1,29,1,30,2,28,3,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,29,1,28,2,29,1,30,1,28,7,29,1,28,1,30,1,28,1,6,1,28,5,30,1,28,2,29,1,30,1,6,1,28,1,6,1,28,1,29,1,28,2,30,1,13,1,6,2,28,1,6,1,28,1,6,2,30,2,6,1,30,1,13,1,29,1,6,1,13,1,6,1,28,1,30,1,29,1,6,1,30,1,6,4,13,6,9,1,13,1,8,2,10,1,11,1,9,1,13,1,11,1,8,1,9,1,10,1,9,1,8,1,11,1,13,1,9,3,11,1,9,1,12,1,9,1,11,1,17,1,11,1,17,1,10,1,16,2,11,1,9,4,10,1,9,1,6,2,30,1,7,1,30,1,29,1,30,1,6,1,29,1,6,3,28,1,13,4,29,1,24,1,13,1,30,1,13,1,6,1,7,1,13,1,7,1,8,1,9,1,13,3,7,1,8,1,12,1,9,1,16,2,13,1,29,1,13,2,29,1,7,1,6,1,8,1,6,1,13,2,6,1,24,1,8,2,13,2,8,1,24,1,13,2,8,1,6,1,8,1,29,1,13,3,29,1,8,3,13,1,6,1,29,1,13,1,6,1,8,1,13,2,8,2,9,1,8,2,9,1,13,4,8,1,16,2,17,3,16,7,11,1,9,1,11,3,16,1,11,1,10,1,16,1,9,1,11,1,9,1,11,1,10,1,11,5,9,1,11,1,16,3,11,2,16,1,11,4,16,2,17,1,11,1,16,1,11,1,9,1,11,1,9,1,11,3,9,1,17,1,11,1,9,1,10,1,8,1,11,2,9,1,16,1,9,6,11,3,9,1,11,2,9,1,16,1,11,2,10,1,11,1,9,1,16,6,11,3,10,1,9,3,8,1,9,4,11,1,10,1,12,1,16,1,17,5,10,1,17,1,11,1,17,1,9,1,11,1,10,1,9,1,12,1,6,1,13,2,8,1,13,2,8,1,7,1,13,1,6,3,29,2,30,1,28,1,30,2,29,1,30,1,28,1,30,2,28,1,29,2,28,6,6,1,28,1,6,1,29,1,30,1,13,1,6,1,13,1,6,1,13,2,8,2,13,2,8,1,13,1,8,1,13,2,8,1,13,3,24,1,13,1,9,1,8,1,11,2,16,3,11,2,16,2,9,2,11,2,10,1,11,1,9,8,11,2,9,1,11,1,13,1,9,2,8,1,9,1,11,1,9,1,13,1,9,1,8,1,13,1,9,1,13,2,9,4,8,3,9,1,10,1,8,2,9,1,10,1,9,1,11,1,8,1,9,2,11,1,8,1,9,1,10,1,9,1,13,1,9,2,8,2,9,1,11,1,9,1,11,1,9,7,8,1,9,5,8,2,13,1,9,2,10,1,9,1,13,1,9,1,8,1,10,1,9,3,8,2,13,1,9,1,10,1,9,1,8,1,9,3,8,1,10,1,11,1,9,1,13,1,9,1,8,2,13,1,9,1,13,1,6,1,9,1,8,1,9,3,10,1,9,1,8,1,9,2,10,1,9,2,11,1,8,1,11,1,8,1,9,2,11,2,9,1,10,2,9,2,11,1,8,1,13,2,8,1,13,3,7,1,13,1,6,1,30,2,6,2,17,3,10,1,17,9,16,1,17,2,9,1,17,2,16,3,13,1,9,1,13,1,7,1,9,1,8,4,9,2,6,1,13,1,9,1,13,1,7,1,9,1,8,2,13,2,9,1,13,2,7,1,13,1,8,1,9,2,8,1,9,1,13,1,10,1,9,2,11,1,9,1,16,1,9,2,11,1,9,1,16,2,17,6,16,1,17,9,16,1,17,1,16,1,17,1,16,2,9,1,10,1,9,1,16,1,9,1,16,2,11,1,17,2,16,1,17,1,11,4,17,1,9,1,11,1,17,1,16,1,17,1,11,1,17,2,9,2,17,1,16,1,11,1,17,2,16,2,11,1,17,1,10,1,9,2,10,1,8,1,11,1,13,1,9,1,8,1,13,1,8,2,9,1,8,1,9,1,7,1,11,4,16,2,11,2,17,1,9,1,17,1,9,1,16,1,9,1,17,2,11,1,16,1,9,2,11,1,9,1,11,1,16,2,11,4,17,1,16,2,17,1,11,1,17,1,16,2,11,1,17,1,11,2,17,10,16,1,13,8,6,2,13,1,30,1,6,1,28,1,30,1,13,2,9,1,16,1,9,1,11,1,9,2,13,2,6,3,7,1,13,5,9,2,11,1,16,2,17,1,16,1,13,1,30,1,6,1,30,2,6,1,28,1,29,1,30,4,28,2,30,1,28,1,6,1,30,2,28,2,30,4,6,1,28,1,6,2,30,3,6,2,30,2,6,1,28,1,7,1,6,1,30,6,6,2,30,1,6,1,30,1,7,1,28,1,30,1,6,2,29,1,6,1,30,1,6,1,13,1,7,1,6,3,7,3,13,1,30,1,6,1,29,1,6,2,13,1,6,3,30,1,6,1,30,1,7,1,13,1,6,2,28,1,30,1,6,2,28,1,30,1,6,2,30,3,6,1,28,1,6,2,30,2,29,1,6,1,30,2,6,1,30,2,6,1,30,1,6,3,30,3,6,2,30,1,29,1,30,5,29,1,30,2,28,1,30,4,28,1,30,1,28,1,6,1,28,1,6,1,30,1,6,1,13,1,30,2,6,2,28,1,29,1,30,6,6,1,30,7,29,1,30,1,6,3,30,2,6,1,30,1,6,1,7,1,30,1,28,1,6,2,29,1,6,1,30,1,29,1,30,2,6,1,29,1,30,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,30,6,6,1,28,1,30,9,28,6,30,1,28,2,30,7,6,1,30,1,29,1,6,1,30,1,28,4,30,1,28,1,6,1,30,1,6,1,30,2,6,1,30,4,6,2,30,2,29,2,30,2,6,1,30,6,7,1,6,3,28,1,6,1,30,1,6,2,7,1,6,1,13,1,6,2,7,1,30,1,13,1,6,6,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,13,1,30,1,6,2,30,1,6,1,13,1,16,1,13,2,6,6,30,2,13,1,7,1,6,1,7,1,6,1,30,1,13,1,6,2,13,2,6,1,30,1,6,1,30,1,13,1,8,1,9,1,13,2,30,1,29,1,30,1,13,2,6,1,13,1,6,1,30,1,28,6,6,1,8,1,10,1,17,2,12,1,17,1,12,2,17,1,12,2,10,1,17,1,10,1,9,3,11,1,10,1,9,1,10,1,9,1,8,2,9,2,11,1,8,1,9,1,10,2,9,1,10,1,9,2,10,1,11,1,9,3,10,1,9,1,10,1,9,2,24,1,9,1,8,1,10,1,12,2,8,1,12,1,24,1,13,1,8,1,24,2,8,1,13,2,8,2,6,1,24,1,10,1,24,2,10,1,12,1,24,1,10,1,24,1,12,1,9,1,24,1,8,3,13,1,24,1,13,3,30,1,28,15,30,1,13,2,7,1,29,1,30,1,28,14,7,2,13,1,7,2,29,1,6,1,30,1,29,1,30,3,29,2,30,2,28,1,30,2,28,4,30,1,28,2,29,1,28,4,6,1,28,10,30,1,28,3,30,1,28,1,30,1,7,1,13,2,8,1,10,1,9,1,11,2,9,1,10,2,11,1,9,2,13,1,24,1,9,1,8,3,9,1,10,1,8,1,9,4,8,1,12,1,9,1,10,1,9,1,24,1,10,1,9,1,13,1,8,1,7,1,13,1,7,1,8,1,13,1,7,1,13,1,10,1,8,1,6,1,7,1,13,1,8,1,24,1,7,2,13,1,6,1,8,2,7,1,8,4,24,1,7,1,24,1,17,1,24,1,9,1,10,1,24,1,7,1,9,1,13,1,8,1,24,1,7,1,13,1,8,1,13,1,24,1,10,1,12,1,24,1,8,4,24,1,7,2,8,1,6,1,30,1,29,1,13,1,6,1,29,2,30,1,13,1,29,1,6,1,29,1,7,1,25,1,27,1,8,1,6,1,8,1,25,1,6,1,7,1,24,1,25,1,24,1,6,1,29,1,25,1,7,1,27,1,25,1,6,1,30,2,6,5,25,1,6,1,7,1,8,1,7,1,24,2,8,2,10,2,8,1,17,1,12,1,24,1,10,1,12,1,9,1,24,1,13,1,8,1,24,1,6,1,25,1,6,1,29,1,28,1,30,1,28,1,29,1,28,1,29,1,6,1,28,1,6,1,28,2,6,1,28,1,30,3,29,1,6,1,28,3,29,1,30,1,28,2,6,1,29,1,30,1,25,1,29,1,8,1,6,1,25,2,8,2,17,1,10,2,24,1,13,1,28,12,30,1,28,3,6,1,28,2,6,2,28,1,30,1,29,1,30,2,28,1,27,1,29,3,28,12,29,1,30,1,28,3,30,1,28,1,30,1,28,1,7,1,28,1,30,2,25,1,7,1,29,1,25,1,8,2,10,1,24,1,25,1,6,2,8,1,24,1,8,1,12,1,8,2,24,2,12,1,24,1,12,1,24,1,12,1,24,1,12,2,11,1,12,1,24,1,12,2,10,1,24,1,11,1,17,1,10,2,11,1,9,3,17,4,11,1,17,20,11,1,6,1,28,2,30,2,8,1,13,1,29,1,28,44,30,2,6,1,13,3,9,1,10,1,8,1,13,1,8,1,13,2,8,1,13,2,7,2,29,2,7,1,28,21,29,1,13,2,6,2,30,1,13,2,7,1,9,3,13,1,10,1,9,1,8,1,11,2,8,1,11,2,9,1,13,2,8,1,13,1,8,1,9,5,13,2,6,1,30,1,28,90,30,2,13,4,9,1,11,1,10,1,11,7,16,1,11,1,16,2,11,1,17,2,11,1,16,1,11,1,17,1,11,3,9,1,16,1,11,1,9,1,16,1,11,1,9,1,11,6,9,1,11,1,10,1,9,1,16,1,11,1,9,1,16,1,9,3,11,3,9,1,11,3,9,1,11,1,16,5,11,1,17,1,11,1,10,1,13,1,28,2,13,1,28,12,8,1,9,1,12,1,11,1,17,1,24,1,8,1,6,1,29,1,7,1,29,1,30,1,29,1,6,1,30,2,29,1,6,1,30,1,29,2,13,1,7,1,8,1,9,1,8,1,13,1,24,1,13,2,28,6,29,1,10,1,8,2,6,1,30,1,28,35,8,1,9,1,7,1,28,3,30,1,8,1,13,1,7,1,13,1,6,1,29,1,28,4,6,1,7,1,13,1,8,1,9,1,11,2,12,1,10,1,9,1,10,1,8,1,17,1,9,1,11,1,8,1,9,1,24,1,8,1,6,2,29,1,6,1,13,2,29,1,24,1,13,1,17,4,12,1,11,1,17,1,16,1,12,1,11,1,10,1,9,1,13,1,8,1,24,2,13,1,10,1,9,1,13,2,9,1,8,1,9,1,8,1,7,1,9,1,17,1,12,1,9,1,7,2,13,2,17,1,15,1,17,1,15,1,9,1,8,3,24,1,12,1,17,3,13,1,7,1,13,1,8,1,7,1,17,1,12,1,8,1,13,1,8,1,9,1,10,1,13,1,10,1,24,1,13,1,}, {9,1,24,1,8,1,24,1,12,1,8,1,10,1,11,2,12,1,16,1,12,1,17,1,16,1,8,1,9,2,8,1,9,1,10,2,16,1,17,2,10,1,9,3,16,1,17,3,12,1,17,2,16,1,17,6,16,1,14,1,17,5,14,2,17,1,16,1,17,5,12,1,17,1,11,1,10,1,17,3,11,1,8,1,7,1,6,2,28,1,30,1,28,2,29,1,6,1,7,1,9,1,10,1,30,1,28,15,24,1,10,1,17,8,16,1,17,10,16,1,9,1,11,1,9,1,8,2,6,3,13,3,8,1,14,1,17,1,10,1,9,1,13,1,8,1,17,1,12,1,9,2,7,1,24,1,9,1,8,1,13,1,8,3,7,1,6,1,28,7,30,1,8,1,10,1,8,1,30,1,28,5,7,1,9,1,11,1,9,1,12,1,8,1,24,1,9,1,8,1,17,1,12,1,10,1,9,1,24,2,9,1,14,1,15,1,8,1,13,1,6,3,7,1,30,1,28,31,29,1,28,3,30,1,6,1,13,2,12,1,24,1,6,1,28,2,29,1,28,1,8,1,17,3,12,1,11,1,8,1,13,1,8,1,13,2,6,2,29,1,30,1,29,1,6,2,29,2,6,1,13,1,8,2,9,1,10,1,9,1,12,1,17,2,14,1,17,1,7,1,28,16,13,1,29,1,13,1,6,1,28,1,30,1,28,1,30,1,6,1,29,1,28,1,30,1,28,1,30,2,29,1,28,1,30,1,6,1,30,2,13,1,28,2,30,2,28,2,30,1,6,1,28,3,30,1,28,2,30,1,28,3,30,1,28,2,6,1,29,1,30,2,13,1,30,4,6,1,30,1,29,1,30,1,29,1,28,1,7,1,29,1,6,3,29,1,6,1,29,1,6,1,29,1,13,1,30,1,6,1,30,2,6,1,30,1,29,1,6,1,30,1,6,1,29,1,30,1,28,1,6,1,29,1,6,1,13,3,10,1,8,1,9,1,8,2,10,1,8,1,9,1,10,1,9,3,11,1,10,1,9,2,11,1,9,1,16,1,10,1,12,1,11,1,8,1,9,1,17,1,9,2,8,1,9,1,8,2,13,1,6,1,8,2,30,1,13,1,6,1,28,1,6,4,30,2,29,1,30,2,7,1,6,2,29,1,6,2,13,1,6,2,29,1,30,1,8,1,6,2,8,1,13,1,9,1,13,1,6,1,24,1,8,1,12,1,17,1,12,1,8,1,6,2,13,2,7,1,30,1,8,1,6,1,13,1,7,1,13,2,9,2,13,2,6,1,13,1,6,1,8,2,13,1,8,1,7,1,8,1,7,1,8,3,13,1,29,1,8,1,6,1,13,2,6,1,13,1,9,1,8,2,13,1,8,5,6,2,13,1,8,1,9,1,17,1,16,4,17,1,16,1,17,1,16,3,11,2,16,1,10,1,11,1,9,2,11,4,9,1,11,2,10,1,16,1,9,1,16,2,9,2,11,1,16,1,11,5,16,3,9,1,16,1,11,1,9,1,11,1,16,1,9,1,11,4,16,1,11,1,10,1,11,1,9,1,10,1,9,1,11,1,9,1,10,1,9,3,11,1,8,1,9,3,11,2,16,1,9,1,10,1,16,2,11,5,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,9,3,13,1,8,1,11,1,8,1,9,1,17,3,16,1,11,1,12,1,17,3,16,1,17,1,12,1,17,1,10,1,9,1,11,1,8,1,10,1,11,1,13,1,9,1,13,1,24,2,6,1,7,1,6,1,29,1,13,2,30,1,29,1,28,1,30,1,28,1,6,1,28,1,29,1,28,2,30,1,28,3,30,1,28,3,30,1,28,1,6,1,30,3,7,1,30,1,29,2,7,1,6,1,13,1,24,1,13,2,6,1,24,1,13,2,24,2,13,1,8,3,6,1,24,1,8,1,9,1,7,1,10,1,9,2,11,2,16,5,9,1,10,1,9,1,13,1,11,1,9,1,11,1,16,1,9,2,11,1,9,1,8,1,11,1,9,3,11,1,9,3,11,1,9,1,8,1,11,1,9,1,8,1,9,1,11,1,8,1,11,1,9,2,10,1,8,1,9,3,8,1,13,1,11,2,9,2,16,1,9,3,10,1,9,1,10,1,9,2,8,1,9,1,13,1,9,2,10,1,9,3,13,1,9,1,11,1,9,2,10,1,9,2,8,1,9,1,11,1,9,1,13,1,9,1,8,1,9,1,11,1,10,1,9,3,10,1,9,1,10,1,9,1,8,1,9,2,13,1,9,1,13,1,9,3,8,1,11,1,8,1,10,1,8,1,9,7,8,1,10,1,9,2,11,1,9,2,13,1,9,3,11,1,8,2,9,2,11,1,9,1,10,1,11,1,9,1,16,1,9,5,8,1,9,4,8,1,13,2,8,1,13,1,8,1,6,3,30,2,7,1,6,1,17,2,9,1,12,1,17,14,10,1,16,1,12,1,9,1,13,5,9,1,11,1,13,1,8,1,13,1,8,1,13,1,7,1,13,1,6,2,8,1,13,3,11,1,7,1,8,1,9,1,8,2,11,1,8,1,13,1,9,1,11,1,9,2,10,1,8,1,11,1,16,1,11,1,9,1,11,4,17,2,16,1,17,1,16,1,17,8,16,1,17,3,16,1,17,4,16,2,11,1,16,4,17,3,11,1,16,3,9,2,16,1,9,1,17,1,16,1,17,2,16,2,17,1,16,2,17,3,16,1,11,1,16,3,9,1,11,1,10,1,9,1,11,1,16,1,9,2,13,2,8,1,9,3,13,1,9,1,10,1,8,1,11,5,16,3,11,2,16,1,11,1,17,1,11,2,17,1,9,1,11,1,16,1,9,1,16,1,17,1,16,1,11,1,16,4,11,1,16,1,11,1,16,1,17,1,16,3,11,3,16,1,11,1,16,1,17,10,9,2,13,1,9,1,13,5,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,13,1,9,2,11,1,9,1,11,1,9,1,13,3,30,1,6,1,13,1,28,1,7,1,13,2,9,1,11,1,16,1,11,1,16,1,17,1,11,1,9,1,30,2,6,1,29,1,30,4,28,1,30,2,28,1,30,4,28,1,30,3,6,1,30,1,6,1,30,3,6,1,28,2,30,1,28,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,30,4,6,1,28,1,30,3,28,1,30,1,28,1,30,6,6,1,13,1,6,2,13,1,6,3,13,1,30,2,29,2,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,9,1,10,1,13,1,30,2,6,2,30,1,6,2,30,1,28,1,30,1,6,3,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,13,1,30,1,6,1,30,1,29,1,30,4,29,1,30,5,6,1,28,1,30,2,6,1,30,2,28,2,6,1,30,3,28,2,30,2,6,1,28,1,6,1,13,1,29,1,6,1,30,1,28,2,30,1,6,1,30,1,28,1,30,4,6,1,30,3,6,1,29,1,30,2,13,1,30,1,6,1,13,1,30,4,6,2,30,1,6,1,30,1,6,1,30,2,29,1,6,1,13,1,6,4,13,1,30,3,29,1,30,1,13,1,30,1,29,2,6,1,29,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,1,29,1,30,5,6,1,30,2,6,1,30,1,6,3,30,7,6,1,29,1,6,2,30,1,6,2,28,1,6,1,30,1,6,2,13,1,6,5,7,1,6,1,30,1,6,2,30,1,13,1,7,1,6,5,13,1,6,2,30,1,6,1,7,1,28,2,6,1,13,1,6,1,29,1,30,2,6,3,13,1,30,1,6,3,13,1,8,2,13,1,30,2,6,3,30,1,7,1,6,3,30,1,6,2,30,1,13,1,6,4,30,4,7,1,9,1,13,2,30,1,29,1,6,3,13,1,9,2,13,2,28,2,6,1,13,1,8,1,9,1,8,1,13,1,9,1,13,1,8,4,9,1,8,1,13,1,9,3,8,1,9,2,24,1,8,1,9,1,8,1,9,2,8,1,9,3,8,1,9,1,10,1,9,2,8,1,10,1,9,1,10,2,24,2,8,1,24,1,9,1,24,3,9,3,24,1,12,3,24,1,9,1,24,1,7,1,13,3,6,1,7,1,6,2,7,1,8,2,24,5,10,1,24,1,12,1,17,1,12,1,13,3,8,1,7,1,8,1,13,1,8,1,13,1,28,17,13,1,7,1,30,2,28,1,30,1,28,15,29,1,6,1,29,1,24,1,13,1,29,2,6,1,29,1,30,1,7,1,28,2,30,2,28,5,30,1,28,1,30,1,28,17,30,3,28,1,30,1,6,1,8,1,13,1,8,1,9,2,11,1,9,2,10,1,9,1,11,1,9,2,8,1,9,3,8,1,9,1,10,1,8,1,9,1,11,1,8,1,9,3,10,1,9,1,10,1,9,3,8,1,10,1,8,1,9,1,13,1,8,1,24,1,13,2,7,2,13,1,8,1,24,1,8,1,7,2,13,3,29,1,7,1,13,1,7,2,24,1,7,1,24,2,8,1,6,1,13,2,10,1,24,1,8,1,24,1,10,1,9,1,13,1,12,1,24,5,9,1,7,1,24,1,8,1,24,1,8,1,24,1,8,1,24,1,8,1,13,1,6,2,7,1,29,1,6,2,7,1,30,1,28,1,8,2,30,1,7,1,29,2,25,1,29,1,6,1,25,1,6,1,25,3,8,2,30,1,29,1,6,1,29,1,28,1,30,1,25,1,29,1,30,2,6,2,29,3,25,1,8,2,24,1,8,1,10,1,9,1,6,1,24,1,17,1,13,1,9,1,12,1,24,1,10,1,12,1,24,2,12,1,10,1,8,1,10,1,7,2,6,1,29,1,6,1,7,1,29,3,6,1,29,2,30,2,29,2,30,1,6,1,29,1,28,1,29,1,28,1,29,1,30,2,28,1,29,3,6,1,29,1,6,3,7,1,25,1,29,1,8,2,10,1,24,3,13,1,7,1,30,1,28,8,30,1,28,7,30,2,6,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,25,1,28,3,30,1,28,11,29,3,28,2,30,1,28,2,29,1,30,2,7,1,28,1,25,2,6,1,25,1,8,1,29,1,8,1,25,1,7,1,25,1,8,1,7,1,10,1,8,1,24,1,8,1,24,1,8,2,12,1,8,1,24,3,10,1,24,1,12,1,10,2,9,2,10,1,8,1,24,1,8,2,12,1,24,1,10,1,24,1,9,1,8,1,12,1,17,2,12,1,17,2,12,1,17,4,12,1,17,13,13,1,28,3,30,1,24,1,13,1,30,1,28,43,30,2,29,1,6,1,13,1,8,1,9,2,10,1,8,1,13,2,7,1,13,2,7,1,29,1,28,25,30,2,29,1,13,5,8,1,6,1,13,2,9,1,11,1,13,1,11,1,13,1,9,1,8,1,11,1,10,1,9,3,8,2,9,1,8,1,9,1,13,1,11,1,10,1,8,1,9,2,13,1,6,1,28,95,6,1,28,2,30,1,28,2,30,3,7,1,8,1,9,1,6,1,13,1,8,1,10,1,7,1,13,2,10,1,9,1,11,2,17,1,9,2,11,4,16,1,11,1,16,1,11,1,10,1,11,1,16,1,11,3,9,1,16,2,10,1,11,2,9,1,11,1,9,2,11,3,10,1,11,1,16,1,9,1,11,4,16,1,11,1,16,3,11,2,6,1,28,2,30,1,28,12,6,1,16,1,17,1,12,1,17,1,6,1,8,1,6,1,30,1,13,1,29,1,7,1,6,1,29,1,30,1,6,2,30,2,6,1,30,1,13,2,9,2,8,1,9,1,8,1,24,1,6,1,28,7,8,1,13,1,8,1,6,1,28,35,29,1,7,1,13,2,30,1,28,1,29,1,7,1,8,1,7,1,13,1,8,1,30,1,6,1,30,1,28,1,30,3,6,1,24,1,9,1,8,1,17,1,9,4,10,1,24,1,9,2,10,1,17,1,24,1,8,1,24,1,6,1,7,1,6,3,13,1,6,1,7,1,9,2,16,1,17,4,11,2,8,1,17,2,9,2,24,1,8,1,12,1,9,1,10,1,9,1,8,1,10,1,24,1,10,1,8,1,13,1,9,1,10,1,17,1,10,1,8,2,13,1,24,1,8,1,17,1,24,1,12,1,10,1,9,1,24,2,13,1,10,1,9,1,12,1,17,2,7,1,13,1,8,1,9,1,8,1,9,1,12,1,9,1,8,1,13,1,10,2,11,1,24,1,9,1,13,1,}, {9,1,8,1,24,1,8,1,24,1,7,1,12,1,10,1,17,1,11,1,17,3,12,1,10,1,8,1,9,1,24,1,12,1,8,1,17,5,11,1,16,1,12,2,17,9,16,1,17,10,14,1,17,1,14,1,16,2,17,3,16,1,17,6,16,1,8,2,7,1,13,1,6,1,30,1,28,1,30,1,28,2,6,1,13,1,24,1,10,1,6,1,28,15,9,1,17,14,12,1,9,1,11,1,9,2,6,1,13,1,28,1,6,2,29,1,28,2,30,1,28,1,30,1,29,1,13,2,12,1,17,1,10,1,6,1,13,1,6,1,8,1,12,1,9,1,24,1,8,2,13,1,8,1,13,3,30,1,7,1,6,1,30,1,28,5,13,1,7,2,13,1,8,1,13,1,28,5,6,1,8,1,12,1,9,2,10,1,24,1,9,2,24,2,9,3,24,1,8,1,17,1,15,1,13,1,8,1,7,1,30,1,6,2,28,39,8,1,17,1,24,1,6,1,28,1,29,1,28,2,8,1,17,2,12,1,11,1,9,1,8,1,24,1,13,1,8,1,13,1,6,2,29,2,6,2,7,1,28,1,29,1,13,1,6,1,13,1,24,1,9,2,16,1,10,1,16,1,17,2,15,1,13,1,28,15,30,2,6,1,30,1,29,1,30,1,28,1,6,1,30,1,28,1,30,2,29,1,7,1,28,1,30,1,13,1,6,3,30,4,28,2,30,1,28,3,30,1,28,3,30,2,28,1,30,1,28,3,30,1,28,2,6,1,29,1,28,2,6,4,30,3,28,1,6,6,28,1,13,2,6,1,7,1,29,4,6,4,28,2,6,1,30,1,7,1,30,2,7,1,6,1,28,1,29,1,13,1,6,1,13,3,8,1,6,1,8,1,13,1,8,2,9,2,13,1,9,1,11,1,10,1,11,1,9,1,8,1,9,2,16,1,24,1,9,1,12,1,8,1,11,1,8,1,9,1,8,1,6,1,7,1,13,1,29,1,8,1,7,1,6,4,29,1,13,1,6,1,13,1,29,2,28,1,13,1,7,1,6,3,8,1,6,2,13,1,6,2,28,1,13,4,8,1,13,1,8,1,6,1,13,2,11,1,8,1,17,1,16,1,11,1,8,1,13,1,6,1,30,1,6,1,29,1,6,1,29,1,7,1,13,1,29,1,8,2,13,1,8,1,13,1,9,1,13,3,8,1,13,2,7,1,24,1,13,1,8,1,13,5,9,1,13,3,8,1,13,1,8,1,13,1,8,1,11,1,8,1,13,2,8,1,13,1,8,1,13,1,8,1,13,1,11,1,16,5,17,1,16,2,11,1,16,1,11,1,10,1,11,2,9,1,11,1,10,1,9,1,16,1,11,2,9,1,16,1,9,1,16,1,9,1,11,1,16,2,11,2,9,1,16,2,11,2,16,2,10,1,9,1,16,1,11,1,16,2,11,1,9,1,11,3,16,2,11,2,9,1,11,1,10,1,9,1,10,1,11,1,9,1,11,2,8,1,10,1,9,6,11,1,10,1,9,1,11,1,9,1,11,1,16,1,11,4,9,1,17,1,16,1,11,1,16,6,11,1,9,2,8,2,9,2,10,1,17,1,11,1,17,2,9,1,17,2,16,1,17,4,12,1,17,1,10,1,17,1,9,1,8,1,9,1,8,3,13,1,9,1,7,1,13,1,8,1,13,1,7,1,6,1,29,1,7,1,6,1,30,1,6,1,28,4,29,1,28,2,29,1,28,1,29,1,28,2,29,1,28,1,29,1,30,1,29,1,30,1,29,2,6,1,29,1,28,1,29,1,6,2,29,1,8,1,6,1,8,2,13,3,8,1,13,1,8,2,7,1,9,1,13,1,8,1,13,1,8,1,9,1,13,2,17,1,9,1,17,1,11,1,16,2,11,4,9,1,10,1,11,1,9,1,11,1,9,4,11,1,9,2,11,1,8,1,9,1,11,1,9,3,8,1,9,2,11,1,9,5,8,1,11,1,9,2,16,1,9,2,11,1,10,1,9,1,10,1,9,2,10,1,8,1,11,1,10,1,9,3,16,1,9,2,8,1,9,1,11,1,9,5,10,1,9,4,13,1,8,1,9,1,13,1,9,5,8,1,9,6,13,1,11,1,9,2,8,1,9,4,8,1,9,6,8,1,9,9,13,1,9,2,10,1,8,1,11,1,9,8,11,2,9,2,11,1,9,1,11,3,9,2,11,1,9,1,11,1,9,3,8,1,9,1,13,2,7,1,13,3,7,1,30,1,13,4,8,1,17,10,10,1,17,3,12,1,17,3,16,2,9,1,13,1,8,1,13,2,9,1,13,1,8,1,13,1,6,1,13,2,30,1,29,1,13,3,9,1,13,1,8,1,9,1,13,1,24,1,13,1,9,1,13,1,8,1,9,4,8,1,11,1,9,1,10,1,9,1,12,1,9,1,12,1,11,2,16,1,17,4,16,1,17,17,16,6,11,1,9,2,17,1,16,2,17,2,9,3,11,1,16,3,17,1,16,1,17,2,9,1,16,1,17,1,16,1,11,1,16,1,9,1,11,1,17,1,11,2,12,1,10,1,11,1,9,1,10,2,9,1,10,1,13,1,8,1,7,1,13,1,7,1,13,2,8,1,13,1,9,1,8,1,9,1,11,1,9,1,11,2,17,2,9,1,16,1,17,1,9,1,11,2,16,1,9,1,11,2,17,1,11,1,17,1,16,2,17,1,12,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,11,1,16,1,9,1,17,1,11,2,16,2,17,1,9,1,16,2,17,9,13,1,9,1,13,1,6,1,30,1,13,3,6,2,28,1,6,1,30,1,28,1,6,2,13,2,9,1,11,2,9,1,11,1,9,1,13,2,6,1,13,1,6,1,28,1,6,2,13,3,11,1,16,1,17,2,11,2,30,12,28,1,30,10,28,1,30,4,6,1,30,1,6,1,30,1,6,1,30,2,6,1,29,1,6,2,30,1,6,1,30,6,29,1,28,1,30,4,6,1,28,1,29,1,6,2,13,1,6,4,13,3,30,3,6,3,30,1,6,1,30,1,6,3,30,1,6,1,28,1,30,2,6,2,30,1,6,1,30,5,6,2,28,1,30,4,6,1,30,3,29,1,30,1,13,1,28,1,6,1,30,2,6,1,30,5,28,1,6,1,28,1,30,2,29,1,30,4,28,1,30,1,28,1,30,7,6,1,30,1,6,1,8,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,30,2,6,1,28,1,30,1,28,1,6,1,30,2,29,1,6,2,29,1,6,1,29,1,30,1,6,4,30,3,6,1,30,1,6,2,30,1,6,1,30,2,13,1,6,2,30,1,6,1,29,1,7,1,30,1,6,1,30,1,29,1,6,1,29,1,6,1,28,1,29,1,6,1,30,1,6,2,29,1,30,1,6,1,30,2,28,1,30,3,28,9,30,1,28,1,6,1,30,1,28,1,29,1,6,4,28,2,30,3,6,2,30,2,29,1,30,3,29,1,6,2,30,4,13,1,30,1,28,1,30,1,6,1,29,1,6,2,30,2,6,2,30,1,6,1,13,1,6,4,13,1,30,1,6,1,7,1,6,3,29,1,13,1,6,3,13,1,30,1,6,2,30,1,6,2,7,1,30,2,6,2,29,2,6,2,28,1,13,4,6,2,13,1,6,13,7,1,30,1,28,1,29,1,30,2,6,2,9,1,13,1,6,1,30,2,6,2,13,1,10,1,17,1,11,2,16,1,9,1,11,1,9,3,8,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,24,1,8,1,9,1,24,1,9,1,8,1,9,1,24,1,9,1,24,2,8,1,9,1,8,1,9,2,8,1,9,1,8,3,9,1,8,1,9,1,10,1,9,1,12,1,9,1,10,2,8,1,9,1,13,1,8,3,9,2,24,1,8,1,24,1,12,3,24,2,13,1,8,1,7,1,13,1,7,2,29,1,7,2,13,1,7,1,13,1,7,1,24,2,8,2,12,1,24,1,8,1,9,1,12,1,9,1,8,3,13,2,24,1,17,1,29,1,28,18,13,1,6,2,30,1,28,17,6,1,29,1,7,1,28,1,30,1,29,1,6,3,7,3,6,1,28,2,30,1,28,1,29,1,28,20,30,1,6,2,7,1,8,6,10,1,9,1,11,1,9,1,10,1,9,2,13,1,9,2,13,2,9,3,8,1,9,2,8,1,9,1,10,1,9,1,11,1,9,3,11,1,10,2,9,1,24,1,9,1,24,1,13,2,7,1,8,1,9,1,24,1,13,1,24,1,7,1,13,1,12,1,8,1,30,1,24,1,13,1,7,1,6,1,29,1,7,2,13,1,7,1,6,1,8,4,7,1,24,1,12,1,24,1,8,4,10,1,9,1,10,1,12,1,24,2,9,1,8,1,24,1,8,3,24,1,10,1,8,2,10,1,8,1,24,1,13,1,6,3,7,1,29,1,6,3,29,1,13,1,6,1,29,1,6,2,29,1,30,1,6,1,7,1,6,1,8,2,25,2,7,2,25,1,6,1,30,1,7,1,6,1,7,1,25,1,6,2,30,1,6,1,30,1,29,1,7,1,25,1,8,1,24,1,7,1,8,3,24,1,8,1,13,1,17,1,6,1,9,1,24,1,10,1,24,1,10,1,12,3,8,2,6,1,8,2,25,1,6,2,30,1,6,1,29,1,28,1,25,1,29,1,28,1,30,1,13,1,30,1,29,2,28,1,30,1,29,1,30,2,6,2,29,2,6,1,28,1,29,1,30,1,29,1,6,1,29,1,6,1,27,1,25,1,8,1,25,1,24,1,7,1,8,1,10,1,24,1,8,1,28,1,29,1,28,11,29,1,28,1,30,1,6,1,28,3,6,1,30,2,28,1,29,1,28,1,29,1,28,2,30,1,28,1,29,1,28,3,29,1,30,2,28,2,30,1,28,1,30,1,29,1,30,3,28,2,29,1,30,1,28,2,30,1,28,1,7,1,28,1,25,1,6,1,30,1,25,1,8,2,7,2,25,2,13,1,25,1,24,1,25,1,6,1,8,1,24,2,10,1,8,1,24,1,17,1,10,1,8,1,12,1,24,1,10,2,17,1,12,2,24,2,8,2,13,1,11,1,13,1,12,1,13,1,9,1,8,1,9,1,17,3,12,1,10,1,17,3,12,1,17,13,9,1,28,4,6,1,8,1,9,1,29,1,28,42,6,2,28,1,13,1,7,1,8,2,13,2,9,1,7,1,8,1,13,1,7,1,8,1,13,1,6,1,28,22,30,2,6,2,13,14,16,1,9,5,16,1,9,1,17,1,9,1,11,1,10,1,9,1,6,1,9,1,8,1,9,3,13,1,8,1,9,1,13,1,6,1,28,109,6,1,7,1,30,1,13,1,30,1,6,1,13,4,6,1,9,1,8,1,13,4,9,1,16,1,11,3,9,1,11,1,9,1,16,1,11,1,16,1,11,4,16,1,11,2,9,2,16,1,11,1,16,1,11,4,9,1,11,1,16,5,11,3,13,1,28,5,30,1,28,8,29,1,8,1,17,1,16,2,17,1,13,1,8,1,7,1,29,1,6,1,13,1,6,1,30,1,28,1,30,1,29,1,6,1,30,1,28,2,6,2,13,1,24,1,8,3,24,1,9,1,7,1,28,6,29,1,9,1,8,1,13,1,6,1,28,35,30,1,13,1,9,1,13,1,28,3,7,1,13,1,8,1,6,2,30,1,28,3,30,1,28,1,29,1,13,2,9,1,16,1,9,2,17,1,11,1,10,1,12,1,11,1,12,1,9,1,8,1,9,2,24,2,6,1,8,1,7,1,6,1,13,1,7,1,24,1,10,1,8,1,9,1,13,1,16,1,17,3,12,1,16,2,11,1,10,1,9,3,8,1,10,1,9,3,11,1,8,1,10,1,8,1,9,1,24,1,13,1,9,1,17,1,11,1,9,1,8,1,13,1,9,1,12,1,17,3,9,1,12,1,8,1,24,2,9,1,12,1,17,2,9,2,13,2,8,1,9,1,24,1,14,1,10,1,8,1,24,1,12,1,9,1,10,1,24,1,9,1,24,1,}, {24,1,8,3,24,1,9,1,10,1,12,1,17,5,16,1,9,2,13,1,9,3,16,1,17,5,16,1,17,9,16,1,17,3,12,1,16,2,17,1,10,1,17,8,12,1,17,1,16,1,17,4,16,1,17,3,9,1,24,1,13,1,8,1,6,1,28,1,29,1,28,4,6,1,13,1,10,1,8,1,6,1,28,15,24,1,17,1,12,1,17,1,12,1,17,3,16,1,12,1,17,1,11,1,7,1,8,1,13,1,7,1,6,1,29,2,28,1,30,1,28,2,30,1,6,1,28,4,30,1,6,1,29,1,30,1,13,1,17,1,12,2,7,1,13,2,24,1,12,1,9,2,8,1,7,1,9,1,8,2,13,2,6,1,24,1,29,1,6,1,28,1,30,1,28,4,30,1,6,1,13,2,30,1,28,5,7,1,24,1,17,2,12,1,10,1,9,4,10,1,11,1,24,1,9,1,13,1,10,1,14,1,15,1,13,1,7,1,13,1,29,1,6,1,29,1,28,30,30,1,28,6,29,1,24,1,12,1,15,1,12,1,6,1,30,1,28,3,8,1,17,2,16,1,12,1,24,1,8,2,6,1,8,1,13,2,7,1,6,1,7,1,13,2,7,1,29,1,13,1,29,1,13,3,8,1,9,1,10,1,17,1,10,1,17,2,14,1,6,1,28,15,13,1,30,1,29,2,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,3,6,1,28,3,6,1,28,1,29,1,30,2,28,2,30,2,28,1,6,1,28,1,30,1,28,1,6,1,28,2,29,1,28,3,30,1,28,1,30,2,28,1,30,1,6,1,30,2,6,1,30,2,6,1,29,1,6,1,30,2,28,1,6,1,29,1,28,2,6,1,30,2,7,1,29,3,7,1,6,1,29,1,6,3,7,1,28,2,29,1,6,1,28,2,7,1,29,1,28,1,13,1,28,1,6,1,29,1,30,1,13,1,6,1,7,2,6,1,8,1,13,2,9,1,13,1,8,1,9,1,8,1,9,2,10,1,9,2,8,1,7,1,6,1,13,2,30,1,7,1,6,1,7,1,13,1,30,1,6,1,13,2,7,2,13,1,28,1,29,1,28,1,30,2,6,2,7,1,6,3,30,1,6,1,13,1,6,2,29,1,7,1,6,1,13,1,7,2,6,1,8,3,9,1,8,1,13,1,12,1,9,1,10,1,11,1,9,1,13,1,6,1,30,1,29,1,6,1,30,1,13,1,29,1,13,1,6,1,8,1,13,4,9,1,29,1,8,2,13,1,9,2,7,1,13,1,8,1,6,1,13,1,8,2,9,1,13,1,8,3,7,1,6,1,13,1,7,1,9,4,8,1,9,1,8,2,9,1,8,2,13,1,9,2,17,1,16,5,17,1,16,2,11,6,9,1,11,2,16,2,9,1,11,1,9,1,10,1,11,1,16,2,11,1,9,1,11,4,16,1,11,1,17,1,9,1,16,1,11,1,16,2,11,2,9,1,11,1,16,1,11,2,9,1,11,2,10,1,17,1,11,1,16,1,9,2,11,2,9,8,8,1,9,2,10,1,11,2,16,1,9,1,10,1,11,5,9,1,16,2,11,4,16,3,11,1,9,5,17,1,11,1,10,1,9,1,12,1,10,1,9,1,17,7,16,2,9,1,17,1,16,1,11,1,24,1,8,1,24,2,9,1,8,2,30,1,8,1,6,1,13,1,7,1,6,2,7,1,29,1,28,1,30,1,28,8,30,1,28,2,6,2,30,1,29,1,30,1,6,1,30,1,29,1,28,2,30,1,8,1,29,1,6,1,7,1,13,1,8,2,29,1,8,1,6,1,8,1,13,2,8,3,13,1,8,1,13,2,9,1,13,1,9,1,13,1,16,1,9,2,16,4,9,2,11,1,9,4,11,1,9,2,11,1,9,2,8,1,11,1,9,4,11,1,9,1,8,1,9,2,10,1,9,4,13,1,11,1,9,3,8,1,9,1,8,1,9,1,13,1,9,2,11,1,9,1,11,1,9,1,10,1,9,1,11,1,9,4,13,1,9,5,10,1,13,1,8,1,9,1,13,1,9,2,8,1,9,1,10,1,9,5,11,1,13,1,9,3,8,1,9,4,8,2,9,3,11,1,9,2,8,2,9,1,13,2,9,3,10,1,9,1,13,1,9,1,16,1,11,3,13,1,9,1,10,1,9,2,16,1,9,3,11,1,9,1,8,1,9,1,13,1,11,1,9,2,11,2,9,2,11,1,9,3,10,1,9,1,13,1,11,1,9,1,10,1,9,1,13,1,9,3,13,1,8,1,6,2,13,1,29,1,13,1,6,1,13,2,24,1,8,1,17,9,11,2,17,1,11,1,17,1,12,1,17,2,11,1,17,1,9,2,13,2,6,1,13,1,8,1,13,1,9,1,7,1,6,1,13,1,8,1,13,1,9,1,29,1,13,1,9,2,13,1,8,1,13,1,24,1,8,1,7,1,11,1,13,1,9,1,8,1,9,2,16,1,13,1,11,1,12,1,9,1,11,2,16,1,17,1,11,1,17,1,11,1,16,1,17,1,9,1,17,1,9,1,16,2,17,9,16,1,17,4,11,1,16,1,11,1,9,1,11,1,13,1,9,1,11,1,16,2,17,2,16,1,17,1,16,2,9,2,11,1,9,1,17,1,16,2,17,2,16,3,11,1,16,1,17,1,16,1,17,1,9,1,16,1,11,1,17,1,16,1,12,2,9,3,13,1,24,1,13,2,24,1,8,1,6,2,9,1,13,1,7,1,9,1,17,1,9,1,11,1,16,1,11,1,16,1,10,1,17,2,16,1,11,1,10,1,16,1,11,1,16,1,11,1,16,1,9,1,16,1,12,1,10,1,16,1,11,1,17,1,16,1,11,1,16,1,17,1,9,1,11,1,16,1,17,1,16,2,11,2,17,1,9,1,11,2,16,2,11,1,16,1,17,2,16,1,17,8,30,1,13,1,6,3,13,2,6,1,30,5,28,2,6,1,13,1,9,1,11,1,9,2,11,2,9,1,6,1,13,2,30,3,6,1,13,2,11,1,9,1,11,1,17,3,9,1,13,1,30,1,6,1,30,1,6,1,30,2,6,1,30,3,28,1,30,1,28,1,30,5,6,1,30,2,6,1,30,2,6,1,30,2,6,3,30,2,29,1,30,2,6,1,7,1,6,1,30,3,6,1,30,11,6,1,28,1,6,4,30,1,6,1,29,1,6,1,13,1,8,1,30,2,6,1,30,1,6,1,29,4,30,1,6,2,30,2,29,3,6,1,30,2,6,1,30,2,6,2,30,2,6,1,30,1,28,1,6,1,30,2,29,1,6,1,30,2,6,1,30,1,13,1,30,2,6,1,30,4,29,1,30,1,6,1,28,1,30,1,28,1,29,1,30,5,28,1,30,1,28,2,30,3,28,1,6,1,30,2,6,2,13,1,28,2,6,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,5,28,1,30,1,6,1,30,2,29,1,6,3,29,1,30,1,6,1,30,1,28,1,30,3,6,1,30,1,6,1,30,1,6,1,30,9,28,1,30,1,29,1,6,4,29,1,30,3,6,1,30,1,6,1,28,1,30,1,6,1,28,1,6,1,30,1,28,1,30,2,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,6,1,30,1,6,2,30,2,29,1,30,3,28,1,30,1,29,1,30,2,28,1,6,2,30,1,6,2,30,4,6,1,30,2,6,6,13,1,30,1,7,1,30,1,13,3,6,2,13,1,6,3,30,1,29,1,30,1,6,1,13,1,6,1,30,2,6,1,30,3,6,2,30,3,6,1,29,1,6,5,13,1,6,1,7,2,29,1,13,1,30,1,13,1,6,1,30,2,6,2,13,1,30,1,6,1,13,1,6,3,29,1,6,2,29,1,6,2,30,1,6,1,28,1,30,3,9,2,7,1,6,3,28,1,17,2,16,1,13,1,9,1,8,1,9,1,8,1,9,1,8,2,13,2,9,1,8,2,24,1,8,3,24,1,13,1,9,1,8,3,24,1,9,1,8,1,9,1,8,2,13,1,9,1,17,1,9,1,11,1,10,1,12,1,10,1,9,2,12,1,17,1,12,1,24,1,9,1,17,1,11,1,10,4,9,2,24,1,17,1,12,1,10,1,17,1,10,1,12,1,9,1,8,1,13,2,7,1,29,1,6,1,30,1,6,1,7,2,6,1,7,1,13,4,8,4,24,1,12,1,9,1,24,1,8,1,13,1,8,4,9,2,28,19,13,1,6,2,30,1,28,19,30,1,28,2,30,1,28,4,7,1,29,1,30,1,8,1,28,17,30,1,7,1,24,1,13,1,8,1,13,1,17,1,9,1,8,3,9,1,24,1,10,2,9,1,24,2,9,1,8,1,9,3,8,1,9,1,8,2,9,1,8,4,9,1,8,2,9,3,8,2,10,2,9,1,12,1,9,1,8,1,9,1,24,1,10,1,24,1,9,1,13,2,24,1,10,1,7,1,6,1,7,1,29,1,6,1,13,1,24,1,7,2,6,1,8,1,13,1,6,2,7,1,6,1,8,1,7,1,6,1,24,1,6,2,30,1,8,1,29,1,13,1,24,1,10,1,24,1,12,1,24,1,12,1,8,4,24,1,10,1,24,6,13,1,7,1,24,3,13,2,7,1,13,1,6,1,30,1,8,1,30,1,8,1,7,2,13,1,29,2,25,1,6,1,29,2,6,1,25,1,7,2,25,1,29,1,8,1,6,1,7,1,29,1,7,1,29,1,6,3,25,1,29,1,6,1,29,1,8,1,6,1,29,1,8,1,6,1,25,1,13,1,24,2,10,1,8,1,12,1,8,1,12,1,24,1,8,1,12,1,10,1,12,1,10,1,12,1,9,1,24,1,8,1,10,1,13,1,8,1,25,1,8,1,6,1,26,1,30,1,26,1,30,1,29,2,25,1,6,1,7,1,29,1,6,1,30,1,29,1,6,1,30,1,25,1,6,1,29,1,30,3,29,1,30,1,29,1,7,1,29,2,6,1,30,1,6,1,25,1,6,1,25,1,24,1,8,3,24,2,8,1,30,1,28,16,6,1,29,1,30,1,28,1,6,2,7,1,29,1,30,1,29,1,30,1,28,3,6,1,28,2,30,2,28,3,6,1,30,1,28,1,6,2,29,1,6,1,30,1,29,1,28,1,29,1,28,1,29,1,30,1,28,1,29,2,6,3,27,1,25,1,6,2,24,2,8,1,7,1,29,1,6,1,7,1,8,2,24,1,29,1,24,1,8,3,24,1,12,1,24,1,12,1,10,1,24,1,10,2,9,1,17,1,12,1,17,1,24,2,12,1,10,1,9,1,12,1,8,1,9,1,7,1,12,1,10,1,17,2,12,1,17,1,11,1,12,2,17,14,6,1,28,4,9,1,13,1,30,1,28,41,29,1,7,1,30,1,6,1,29,1,13,1,8,1,9,1,8,1,9,1,8,1,13,3,7,1,6,1,28,22,7,1,13,2,8,1,9,1,13,3,30,1,8,2,9,1,8,1,13,3,8,1,13,3,9,1,11,1,9,1,13,1,9,1,8,1,9,1,10,1,9,1,16,1,11,1,16,1,11,1,9,1,13,1,11,1,9,2,10,1,9,4,13,1,28,123,7,1,30,1,29,1,7,1,13,2,16,1,11,2,16,1,11,1,16,1,11,1,9,1,17,1,9,1,16,1,11,1,9,1,16,1,11,6,16,1,11,2,9,1,16,2,11,3,9,1,11,4,9,1,13,1,28,15,13,1,17,4,8,2,6,1,7,1,6,1,7,1,29,1,28,1,6,1,28,1,7,1,30,2,29,1,7,1,28,1,6,1,13,2,8,1,10,1,13,1,9,1,13,1,29,1,28,6,13,2,12,1,13,1,28,36,30,1,13,1,9,1,6,1,30,1,28,2,13,1,8,2,6,2,30,3,28,3,30,1,13,1,8,1,24,1,9,2,8,2,13,1,9,1,17,3,9,1,10,1,8,1,12,1,24,1,8,1,24,1,8,1,30,1,13,1,8,1,13,4,9,2,10,1,9,1,17,3,8,2,9,1,11,1,12,1,16,1,10,1,9,1,13,1,11,1,10,1,11,1,10,1,24,1,10,1,11,2,12,1,9,1,24,1,17,1,10,1,8,1,24,1,10,1,13,1,9,1,17,3,9,1,8,1,24,1,13,1,8,1,24,1,17,1,11,1,17,1,12,1,8,1,11,1,24,2,13,1,9,1,17,1,9,1,8,2,17,1,9,2,12,1,24,1,13,1,}, {9,2,7,1,24,1,10,1,9,1,12,1,11,1,17,6,9,1,11,1,9,1,12,1,9,1,17,1,10,1,17,5,16,1,17,12,16,1,17,1,16,2,17,5,16,1,17,4,16,1,17,10,24,1,9,1,13,2,29,2,28,4,29,1,6,1,13,1,10,2,29,1,28,14,6,1,30,1,9,1,17,1,12,3,8,1,7,1,13,1,6,1,13,1,30,2,28,1,30,1,29,1,30,1,28,3,30,2,28,1,30,2,28,5,29,1,13,1,6,1,7,1,8,1,10,1,9,1,6,1,30,1,7,1,13,1,17,1,8,3,13,2,8,1,7,1,13,1,7,2,13,1,6,1,30,1,28,5,30,1,28,1,6,1,13,1,8,1,24,1,28,6,11,1,17,1,12,1,9,1,24,1,12,1,9,1,13,1,9,1,24,1,9,2,10,1,9,1,10,1,12,1,14,1,9,1,6,3,13,1,6,1,30,1,28,35,29,1,7,1,8,1,24,1,12,1,17,1,6,1,30,1,28,2,30,1,6,1,17,5,9,1,24,1,13,3,7,1,6,2,29,1,13,1,8,1,13,1,8,1,29,2,13,1,8,2,24,1,12,1,17,1,10,1,17,3,12,1,13,1,28,15,13,1,28,1,13,1,28,1,30,1,28,1,29,1,30,2,28,3,29,1,30,1,7,1,13,1,29,1,6,1,30,1,29,1,30,4,6,1,30,2,28,2,6,2,28,4,6,1,28,1,30,1,28,1,29,1,6,1,28,1,30,2,28,1,6,1,30,1,6,3,29,1,30,2,29,2,30,2,13,1,28,1,6,2,30,1,6,1,7,1,29,3,28,1,7,1,30,1,7,1,28,1,29,2,28,1,29,1,30,2,6,1,30,3,6,2,30,1,29,1,30,1,6,1,7,1,28,1,30,2,6,4,13,1,28,1,6,2,13,1,6,3,7,1,8,2,6,2,29,1,6,1,28,1,8,1,6,2,8,1,13,1,28,1,13,1,6,2,30,1,13,1,6,1,30,1,6,2,29,1,6,2,29,1,6,1,30,1,6,3,7,1,6,2,8,1,13,2,29,2,8,1,6,1,13,2,7,1,8,1,13,1,8,2,13,2,8,1,9,3,11,1,9,1,13,1,6,1,13,1,6,2,7,1,6,1,29,2,6,1,7,1,6,1,13,1,7,1,13,1,9,1,13,1,24,1,9,1,13,1,8,1,13,1,8,2,24,1,13,3,9,1,8,1,13,1,8,1,13,3,8,1,13,3,9,2,16,1,9,1,8,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,16,1,11,1,17,1,16,2,17,1,16,1,17,1,16,1,17,1,16,1,11,1,16,1,11,1,9,1,11,2,9,1,11,1,10,1,16,1,8,1,9,1,16,2,11,2,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,11,3,16,2,11,1,16,1,11,4,17,1,9,1,11,1,9,4,16,1,9,2,16,1,8,1,10,2,11,3,9,1,11,1,9,1,16,1,11,1,10,1,9,2,11,1,17,1,11,1,16,1,11,3,9,1,11,1,9,2,16,1,11,3,16,2,17,1,16,1,17,3,16,1,17,2,16,1,9,1,24,3,8,1,13,1,10,2,17,4,16,1,10,1,17,1,12,1,9,1,17,1,10,1,24,1,9,2,13,1,8,1,6,1,9,1,7,1,8,1,13,2,6,3,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,2,6,1,30,2,28,1,29,1,6,1,29,1,30,1,29,1,30,1,6,1,29,1,6,1,7,1,29,2,6,1,13,2,7,1,8,1,13,1,8,1,6,1,8,1,13,1,24,1,13,1,9,1,13,3,24,1,13,2,9,1,13,1,8,1,16,2,17,1,16,2,9,1,10,1,9,1,10,2,9,1,10,1,11,1,9,1,10,1,11,2,9,3,10,1,9,1,13,1,9,2,13,1,9,4,13,1,9,2,8,1,9,1,8,1,9,2,11,1,9,2,11,1,9,1,8,1,9,1,8,1,9,1,8,1,9,2,11,1,9,1,10,1,11,1,10,1,11,1,13,1,9,1,13,1,9,1,8,1,13,1,11,1,8,1,13,1,9,3,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,2,10,1,13,1,8,1,9,6,8,1,13,1,9,5,8,1,11,1,13,1,9,11,10,1,11,1,9,1,11,1,16,1,9,2,11,2,9,1,10,1,9,13,11,1,9,6,11,1,9,1,8,1,9,2,10,1,11,1,13,2,9,1,8,1,13,4,7,2,13,1,8,1,13,1,8,1,13,1,17,9,12,2,17,6,12,1,11,1,8,1,9,1,13,1,8,1,13,1,9,1,8,2,6,1,7,1,13,2,7,1,6,1,9,1,13,1,8,1,9,1,7,1,8,1,13,1,9,1,13,1,8,2,10,1,13,1,10,1,11,1,8,2,12,1,9,1,16,1,12,1,9,3,16,1,9,1,13,1,16,1,11,1,16,1,11,1,17,1,11,1,10,1,17,1,16,1,17,1,16,1,17,7,16,2,17,1,16,1,17,1,11,1,8,1,11,1,8,2,11,1,16,1,10,1,9,1,17,1,11,1,17,3,16,2,11,3,13,1,16,1,17,1,16,1,17,3,16,1,17,2,11,1,16,1,11,3,17,1,11,2,9,1,12,1,9,3,13,1,8,1,13,2,7,1,13,1,29,1,8,1,6,1,7,1,6,1,9,1,13,1,16,1,9,1,16,1,17,1,16,2,11,3,16,1,11,1,12,1,16,1,17,1,9,1,16,1,9,1,17,1,11,1,16,1,11,1,17,1,16,2,11,2,16,1,11,1,17,1,9,1,17,1,9,4,16,1,11,1,16,1,11,1,16,3,11,3,17,1,16,1,17,3,16,1,17,4,9,2,13,1,6,2,13,1,6,1,13,2,30,1,6,1,28,1,6,1,28,1,6,2,30,1,13,1,9,4,11,1,9,2,13,1,30,1,6,1,13,1,28,1,6,1,13,1,6,1,13,1,9,1,11,1,17,3,16,1,28,1,6,1,30,3,29,1,30,2,6,1,28,1,30,2,6,1,30,3,28,1,30,3,29,1,6,1,30,5,28,1,29,1,30,5,6,2,30,1,6,1,28,1,6,3,30,1,28,2,30,2,6,2,30,2,6,1,30,4,6,1,13,1,6,1,13,1,6,2,13,1,7,1,6,2,30,1,6,1,30,1,13,1,30,2,6,1,29,1,6,1,30,1,29,1,30,1,29,1,28,1,30,2,6,1,28,1,30,1,28,1,30,2,6,2,30,2,6,1,30,2,29,1,30,3,28,1,30,2,29,1,30,1,6,3,30,1,29,1,30,2,29,1,30,2,28,1,30,1,28,1,30,2,29,1,6,1,28,1,29,1,28,1,6,1,28,1,30,4,28,1,30,3,6,1,30,1,6,2,30,3,28,1,30,4,28,1,29,1,30,1,28,1,30,3,28,1,30,6,28,1,6,1,30,2,6,1,30,2,6,1,30,2,6,1,30,6,28,1,29,2,30,1,6,1,30,6,6,1,30,1,6,1,30,6,29,1,30,2,6,2,30,1,6,1,28,1,30,3,6,1,28,1,30,1,28,1,30,4,28,3,30,2,28,3,30,3,6,1,30,1,29,1,28,1,6,2,29,1,28,1,30,6,28,1,6,1,30,2,6,1,30,2,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,13,1,6,2,13,1,29,1,6,1,13,1,6,1,13,1,30,1,7,1,6,1,30,3,6,1,13,1,30,1,13,1,30,1,6,1,30,2,6,1,30,1,6,2,29,1,30,1,6,4,13,1,6,1,30,1,6,3,13,1,6,2,13,1,8,1,6,1,30,1,13,1,6,1,13,1,6,2,13,3,6,3,30,1,6,1,13,1,6,3,30,2,28,1,30,1,29,1,6,1,8,1,13,1,6,1,30,1,28,2,11,2,8,1,17,1,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,2,8,2,9,2,8,1,9,1,11,1,10,1,9,1,13,1,24,1,9,1,24,1,8,3,9,1,8,1,13,1,24,1,8,1,10,1,12,1,8,1,24,1,10,1,12,1,24,2,12,1,9,1,10,1,17,1,11,1,12,2,9,1,10,1,9,1,8,3,13,1,24,1,10,1,24,1,12,3,9,1,24,1,13,1,7,1,29,1,30,1,29,1,30,1,28,1,6,1,29,1,6,2,13,2,7,1,24,1,8,3,24,1,10,1,12,1,24,1,8,1,13,1,7,1,9,1,13,2,24,1,12,1,13,1,28,20,13,2,6,1,30,1,28,20,30,1,28,22,6,1,28,1,13,1,9,1,8,1,12,1,9,2,12,1,9,1,10,1,13,1,8,3,9,2,24,1,8,1,9,2,10,1,9,2,8,5,13,2,9,1,8,3,13,2,8,1,13,1,8,2,9,1,8,3,9,2,24,1,9,1,8,1,24,1,9,1,12,1,17,1,12,1,17,1,12,1,24,2,8,1,12,1,8,2,24,1,13,1,8,1,24,1,6,2,13,2,6,1,7,1,30,1,6,1,8,1,25,1,7,2,24,1,25,1,8,2,25,1,8,2,12,1,8,1,24,1,12,1,24,1,9,1,13,1,24,1,17,1,8,1,24,1,12,1,8,1,24,2,8,1,24,1,12,1,24,1,10,1,24,1,13,1,24,1,7,1,24,1,7,2,6,2,30,1,29,1,7,1,30,1,6,3,13,1,28,1,6,1,13,1,29,1,6,2,7,2,6,2,25,1,26,1,6,2,7,1,6,1,7,1,6,2,8,1,30,1,29,1,6,1,13,1,29,1,13,1,7,1,13,1,8,1,24,4,8,1,9,1,10,1,17,1,24,2,9,2,12,1,17,1,10,2,24,1,10,1,8,1,10,1,8,1,29,1,8,1,25,1,8,1,6,1,25,1,30,1,29,1,6,1,28,1,29,2,6,3,25,1,6,1,29,3,30,1,29,3,30,2,29,3,13,1,30,2,8,1,29,1,6,1,25,1,24,5,8,1,13,1,30,1,28,13,6,1,30,1,28,1,30,1,28,1,30,1,29,2,28,1,30,2,25,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,6,29,1,28,1,29,1,30,1,28,1,30,3,28,1,29,1,6,2,30,1,29,1,30,2,25,1,27,1,25,1,6,1,27,1,8,1,25,1,24,1,7,1,8,1,6,1,25,2,30,1,29,1,7,1,8,1,7,1,25,1,10,1,24,1,12,1,24,1,17,1,8,1,13,1,9,1,10,1,12,1,24,1,17,1,12,1,10,1,24,1,10,1,9,3,13,1,8,1,24,2,8,2,7,1,17,3,11,3,17,4,12,1,17,10,28,4,13,1,9,1,6,1,28,41,6,2,30,1,6,1,29,1,13,1,8,1,13,2,9,1,8,1,13,4,6,1,28,19,6,1,13,3,9,1,6,1,13,2,7,1,13,2,7,1,13,2,8,1,13,1,9,1,13,1,8,1,13,1,6,1,8,1,13,2,8,1,9,4,8,1,9,1,10,1,9,1,11,1,9,1,10,1,9,2,13,1,10,1,13,1,9,6,13,1,28,2,30,1,28,128,30,2,6,2,13,2,9,1,13,2,9,1,11,1,16,3,17,1,9,1,11,1,9,1,11,1,9,3,11,1,9,1,16,1,11,1,10,1,11,1,16,1,11,3,9,1,6,1,28,4,29,1,28,9,30,1,8,1,16,1,17,3,12,1,13,1,29,1,6,1,7,2,30,1,6,1,29,1,28,1,6,2,29,1,30,1,6,2,13,2,9,1,8,1,11,1,8,1,24,1,11,1,6,1,28,6,8,1,9,2,8,1,30,1,28,35,6,1,8,2,6,1,30,1,28,2,13,1,9,1,24,1,7,1,6,1,30,2,28,5,6,1,9,1,8,2,13,1,28,1,30,1,6,1,30,1,8,1,9,1,24,1,10,2,8,1,9,1,12,3,9,2,13,1,9,1,13,1,8,1,24,1,8,2,9,1,8,2,9,1,17,3,16,1,10,1,12,1,10,1,12,1,9,1,12,1,9,2,8,1,9,3,11,1,10,1,13,1,11,1,9,1,17,3,24,1,9,2,8,1,9,1,17,2,10,1,24,1,8,1,17,1,13,1,24,1,11,1,14,1,17,3,8,1,11,1,10,1,8,1,9,1,15,1,16,1,12,1,9,2,10,1,9,1,17,1,10,1,9,1,13,1,}, {10,1,9,2,15,1,12,1,9,1,17,1,11,1,17,1,16,1,17,3,10,1,16,1,11,1,10,1,17,1,12,1,17,28,16,1,17,3,12,1,17,11,15,1,24,1,9,1,7,1,6,1,29,2,28,5,29,1,8,1,9,2,6,1,28,13,30,1,28,3,30,1,6,1,13,1,6,2,30,2,28,21,30,1,29,1,6,1,7,1,24,1,17,1,12,1,29,1,30,1,29,1,6,1,17,1,9,2,6,1,8,1,13,3,6,1,8,1,13,1,7,2,30,1,28,1,30,1,28,2,30,1,28,1,30,2,13,1,8,1,6,1,28,5,6,1,24,1,12,1,17,2,12,1,9,4,8,1,24,1,9,3,12,1,14,2,9,1,13,3,8,1,24,1,28,20,29,1,28,9,30,2,28,1,30,1,28,4,29,1,6,1,17,1,9,1,13,1,28,3,30,1,13,1,17,2,11,1,12,1,17,1,9,1,13,2,9,1,8,1,13,1,8,1,13,1,6,1,8,1,13,1,8,1,7,1,13,2,8,1,6,1,13,1,8,1,24,1,17,1,9,1,12,1,17,2,14,1,13,1,28,15,6,1,29,1,28,1,6,1,30,4,28,1,30,1,13,1,7,1,6,1,29,1,6,3,28,1,30,7,28,1,30,1,28,2,30,1,28,3,29,2,28,1,6,1,29,1,30,1,28,4,30,1,28,2,6,1,28,2,7,1,30,1,13,1,30,2,6,2,29,1,13,1,28,1,6,1,29,1,6,1,7,1,28,1,6,1,7,1,13,1,6,1,8,1,30,3,29,1,28,1,30,4,28,2,6,1,28,1,30,1,28,1,30,3,6,2,30,2,6,1,30,1,6,1,13,1,30,2,7,2,6,1,29,1,13,1,29,1,6,1,7,1,13,1,29,1,13,1,7,3,13,2,6,1,8,1,6,1,13,1,28,1,6,2,7,1,29,1,6,3,7,1,6,1,13,1,30,1,7,1,6,2,7,1,6,1,7,1,30,1,6,1,7,1,29,1,13,2,7,1,13,1,29,2,7,1,28,1,6,1,24,1,6,1,13,2,6,1,8,1,7,1,8,1,13,1,9,2,10,2,13,1,7,1,28,1,6,3,30,2,13,1,8,1,13,1,7,1,13,2,8,3,6,1,13,4,9,1,13,3,8,2,6,1,13,1,9,1,8,1,6,1,8,1,13,1,8,1,13,3,9,1,13,1,10,1,9,1,11,1,8,1,9,1,8,1,6,1,9,1,13,1,8,1,9,1,16,1,17,1,16,8,11,3,9,2,11,1,9,1,16,1,11,5,9,1,11,1,16,1,9,2,11,2,9,1,11,1,9,1,17,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,6,16,1,11,2,9,1,16,1,11,1,9,1,8,1,9,2,8,1,10,2,16,1,9,1,11,1,8,1,9,1,16,1,9,3,10,1,9,1,16,1,11,1,16,2,9,1,11,1,10,1,9,1,10,1,11,2,16,1,11,1,16,4,17,7,16,1,11,1,16,1,17,1,24,1,9,1,13,1,24,2,13,1,24,1,8,1,12,1,9,1,17,4,11,1,12,1,17,1,9,3,13,2,24,1,8,1,13,1,24,1,6,1,7,1,8,1,13,1,6,1,28,1,29,1,28,1,6,1,8,1,30,1,29,1,28,6,29,1,28,1,30,1,28,1,30,1,28,3,29,2,30,1,28,4,29,1,13,1,6,1,8,1,13,1,6,1,8,1,29,1,8,1,13,1,7,1,8,1,13,2,8,1,13,1,8,1,24,1,8,1,13,4,8,2,9,1,11,1,9,1,11,2,9,1,16,1,8,1,11,1,9,2,8,1,9,1,8,2,9,1,10,1,9,4,16,1,10,1,9,5,13,1,9,1,13,1,11,1,9,3,8,1,9,2,8,2,9,1,11,1,9,3,11,1,9,2,11,1,9,1,13,1,9,3,10,1,9,2,10,1,11,1,8,2,9,1,8,1,9,2,13,1,8,1,9,5,13,1,9,2,13,1,8,2,9,2,8,1,10,1,13,1,8,1,10,1,11,1,9,6,11,2,9,4,11,1,8,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,2,9,1,11,4,9,1,16,1,9,1,11,1,9,1,11,1,9,2,10,1,11,1,10,1,9,5,11,1,9,1,11,1,9,8,13,1,11,1,9,1,8,1,6,4,8,2,6,1,7,1,13,1,8,1,13,1,17,8,8,1,9,1,17,7,12,1,8,1,9,1,13,2,30,1,8,1,13,1,8,3,29,1,7,1,13,1,8,1,9,1,8,1,6,1,9,1,11,1,8,1,11,1,13,1,8,1,6,1,9,1,13,1,11,1,9,3,11,1,8,1,9,1,16,1,13,1,11,1,16,1,13,1,9,1,16,1,11,1,10,1,17,1,11,1,17,2,16,1,17,1,16,2,17,9,11,1,17,3,11,1,16,3,8,1,9,1,11,1,13,1,11,1,16,3,17,2,16,1,11,4,16,1,17,2,16,3,9,1,11,1,16,1,9,1,16,1,11,2,16,1,9,1,16,1,9,1,8,1,11,1,10,2,9,2,8,1,9,1,13,1,24,1,13,2,6,1,7,1,6,2,30,1,6,1,28,1,13,1,9,1,16,1,11,1,16,2,17,1,11,3,16,2,17,1,11,2,16,2,11,2,16,2,17,1,16,1,11,1,10,1,16,1,9,2,16,1,9,1,16,1,11,2,17,1,16,1,9,1,17,1,9,1,11,2,16,1,9,1,17,1,11,1,9,1,11,2,16,1,11,1,16,1,17,2,16,2,17,1,16,1,17,2,10,1,8,1,13,1,6,1,30,1,13,1,6,3,30,3,28,1,6,1,30,1,28,1,13,1,9,7,13,2,30,1,13,1,28,1,30,1,6,1,13,3,16,1,17,3,16,1,6,1,30,1,28,1,6,1,30,1,6,1,29,1,30,5,6,1,30,1,6,1,30,1,28,1,30,1,29,1,30,4,28,1,30,1,28,1,30,1,29,1,30,3,6,1,28,1,30,1,6,3,30,1,6,1,7,1,6,1,30,2,6,1,30,1,6,2,28,1,6,1,30,6,6,2,13,1,6,2,29,1,13,1,6,3,30,1,28,1,6,1,30,5,29,1,30,3,29,1,6,2,28,2,6,2,29,1,6,2,28,2,30,2,6,2,30,3,6,2,30,3,6,2,30,1,6,1,30,2,6,1,30,3,29,1,30,1,29,1,30,2,28,1,29,1,30,2,28,1,30,1,6,1,28,1,30,5,6,1,30,4,6,1,30,1,6,2,30,4,28,1,6,1,28,2,30,11,28,2,30,3,6,5,30,3,6,1,29,1,6,2,28,1,29,1,30,4,28,1,29,1,30,3,28,1,30,1,28,1,30,2,29,1,28,1,29,1,30,3,6,2,30,4,6,1,30,1,29,1,6,1,29,1,30,2,28,2,29,1,30,1,28,1,30,2,29,1,30,1,28,2,6,1,30,3,28,1,30,1,29,1,30,1,29,1,30,3,28,1,30,6,29,1,30,2,6,1,30,1,6,1,30,1,29,1,6,1,30,4,28,1,29,1,30,2,6,1,7,1,6,2,13,2,6,1,13,1,6,2,13,1,6,3,30,1,6,1,30,1,29,1,6,1,30,2,6,1,30,1,29,1,30,1,6,1,30,2,6,1,30,4,6,7,30,1,13,1,30,1,13,1,6,3,13,1,7,1,6,1,13,2,30,1,8,1,6,1,13,1,6,7,13,1,7,1,6,1,30,6,6,1,13,1,9,1,6,1,28,2,6,1,13,1,6,1,9,2,7,1,8,1,9,1,8,2,9,2,8,3,24,1,9,3,24,1,9,2,24,1,8,2,13,1,24,2,8,2,13,1,8,2,24,1,13,1,8,1,24,2,13,2,6,1,24,1,13,1,24,1,8,2,9,1,8,1,24,1,13,1,6,1,29,2,30,1,7,2,8,2,24,1,10,1,17,1,24,1,10,1,17,1,9,1,13,1,28,1,30,2,28,1,6,2,13,1,6,3,13,1,8,2,13,2,8,1,24,2,9,1,8,1,24,1,13,1,8,1,13,2,8,1,12,1,17,1,7,1,28,21,30,1,7,1,6,1,28,2,30,1,28,20,30,1,6,1,30,1,28,16,7,1,13,1,9,1,8,1,10,1,24,1,12,1,10,3,24,1,8,1,24,1,13,1,8,3,9,1,24,1,9,1,24,1,10,2,9,1,8,1,24,1,8,2,7,1,13,4,8,2,13,1,7,1,24,1,8,1,9,1,13,2,8,1,13,1,24,1,8,1,9,1,24,2,8,1,24,2,12,1,10,1,17,1,9,1,17,1,9,1,8,1,10,1,8,2,24,1,25,1,8,1,6,2,8,1,13,1,24,1,6,3,30,1,6,1,29,1,6,1,30,1,25,1,29,1,25,1,6,1,25,1,8,1,6,2,7,1,8,2,12,1,8,1,13,2,24,3,9,1,24,1,12,2,10,1,8,1,13,1,24,1,10,2,24,1,8,1,24,1,8,1,24,1,8,1,25,1,6,1,8,1,13,1,6,6,13,1,6,2,30,1,13,1,6,1,29,1,7,1,6,1,30,1,8,1,29,1,6,2,25,1,7,1,8,1,6,1,29,1,7,3,6,1,7,1,6,1,7,2,8,1,6,1,13,1,8,1,24,1,8,1,7,1,24,2,9,2,8,1,17,1,10,1,8,1,12,1,10,1,12,2,10,1,24,2,10,2,24,1,8,1,10,1,25,1,6,2,27,1,6,1,29,1,30,1,6,1,30,1,6,1,7,1,29,1,25,1,30,1,25,1,28,1,29,1,28,1,6,1,30,2,6,1,28,1,29,1,28,1,30,1,29,1,6,1,29,1,6,1,30,1,29,1,25,3,8,2,25,1,24,1,8,1,24,1,6,1,29,1,28,11,6,1,28,2,30,1,28,1,7,1,30,2,28,1,30,1,6,1,7,1,25,1,27,1,30,1,29,1,27,1,30,1,28,9,29,1,28,6,30,1,28,1,30,2,28,2,29,2,30,1,29,1,30,2,6,1,8,1,25,1,6,2,8,2,25,1,8,1,25,1,8,1,25,1,8,3,24,1,7,1,8,1,24,1,27,1,24,2,10,1,24,1,7,1,9,1,10,1,24,1,12,1,10,2,12,1,9,1,12,1,9,1,10,1,9,2,24,1,8,1,9,1,24,2,17,2,12,1,9,1,17,1,9,1,17,1,12,1,11,1,17,1,12,1,17,10,8,1,28,1,30,1,13,1,9,1,8,1,28,42,29,1,30,1,6,1,7,1,13,2,7,1,8,1,10,1,13,3,7,1,28,20,30,1,8,1,9,2,13,1,9,2,13,2,6,2,13,2,6,1,13,4,9,1,13,1,8,1,9,2,13,2,9,2,13,4,9,4,10,1,9,1,8,1,9,2,13,1,8,1,9,6,13,1,6,2,28,133,30,2,28,1,6,1,7,1,6,2,30,1,28,1,30,1,28,2,6,1,7,1,9,1,13,2,6,1,9,1,29,1,6,1,13,2,6,1,13,1,9,1,13,2,9,2,13,1,6,1,28,14,8,1,17,4,10,1,13,7,6,2,30,1,6,1,28,1,6,1,28,1,6,1,29,1,8,1,10,1,13,1,17,1,24,1,13,1,8,1,6,1,28,6,13,1,24,1,8,1,13,1,28,36,30,1,9,1,8,1,6,1,28,2,30,1,8,1,9,1,8,1,6,1,7,1,28,6,30,1,7,1,24,1,8,1,9,1,6,1,28,3,30,2,6,1,9,2,12,1,11,1,12,1,15,1,17,1,10,1,15,1,9,1,8,1,14,1,24,1,9,1,6,1,13,1,8,3,13,1,7,1,17,3,16,1,10,1,12,1,8,1,9,1,12,1,8,1,9,2,11,1,13,1,15,1,11,1,10,1,17,1,16,1,11,1,9,1,17,3,24,1,11,1,8,1,13,1,9,1,17,2,10,2,24,1,9,1,12,1,9,1,17,5,12,1,15,1,9,1,24,1,9,1,17,2,9,1,24,1,9,1,12,1,10,1,12,1,9,3,}, {8,1,10,1,11,1,9,1,12,1,10,1,17,9,16,1,11,1,16,2,17,37,10,1,9,2,24,1,10,1,17,2,9,1,8,1,24,1,13,1,6,2,13,1,28,4,6,1,28,1,7,1,9,1,24,1,29,1,28,18,30,4,28,21,30,1,28,1,6,3,13,2,17,1,9,1,30,1,29,2,7,1,17,1,8,3,13,2,24,1,13,1,7,1,13,1,6,3,28,7,30,2,13,1,9,1,6,1,30,1,28,4,30,1,12,1,17,1,11,1,12,1,9,1,13,1,10,1,8,1,10,1,24,2,13,1,9,1,8,2,17,1,14,1,8,1,6,1,7,2,6,1,13,1,28,34,30,1,28,2,29,1,13,2,14,2,24,1,30,3,28,1,6,1,10,1,17,1,12,1,17,1,12,1,9,1,24,1,13,2,7,1,8,1,6,1,13,1,7,1,8,1,13,1,24,1,7,1,6,1,13,1,29,1,7,1,6,1,8,1,17,2,10,1,12,1,17,2,14,1,7,1,28,15,13,1,28,1,7,1,6,2,29,1,6,1,7,1,6,2,28,1,6,1,29,1,30,1,6,1,28,1,6,1,7,1,28,1,30,5,6,1,30,1,28,2,30,1,28,2,30,3,29,1,6,1,28,3,6,1,30,1,28,1,6,1,28,1,6,1,28,1,6,1,30,1,13,1,6,1,30,4,6,1,30,1,28,1,29,1,6,1,28,1,6,3,30,1,13,1,30,1,6,2,29,2,30,1,6,1,29,1,30,3,29,1,28,1,6,2,28,1,6,1,30,1,6,1,29,1,28,1,6,2,30,2,28,2,29,1,13,1,30,2,13,2,30,1,13,1,8,1,30,1,6,1,7,1,30,1,6,1,7,1,29,1,7,1,13,1,6,2,29,1,7,1,8,1,6,1,13,2,30,1,6,1,30,1,13,1,6,1,30,1,7,1,29,1,13,1,6,1,8,1,6,1,30,1,29,2,6,1,7,1,29,1,7,2,6,1,8,1,30,1,28,1,6,2,13,1,30,1,6,3,8,1,13,1,8,1,6,2,7,1,13,1,8,1,9,1,13,1,16,1,9,2,13,1,7,1,6,1,29,1,6,1,13,2,6,2,13,1,7,1,13,1,8,1,7,1,24,1,13,2,8,1,13,2,24,1,7,1,8,1,6,1,13,1,9,1,13,2,8,2,13,3,8,1,9,1,8,1,7,1,9,1,8,1,9,2,16,1,9,1,13,1,8,1,9,1,8,2,9,1,13,1,11,1,16,3,17,1,16,1,17,1,16,2,11,3,16,1,9,1,16,2,11,2,10,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,11,2,9,1,17,1,16,2,9,1,16,1,11,3,16,4,9,3,11,1,10,1,9,1,11,1,13,1,11,1,9,1,8,1,16,2,9,1,10,1,9,2,11,1,10,1,11,1,10,1,9,1,11,1,9,1,11,1,9,2,11,1,16,1,9,1,16,2,11,1,9,1,11,1,16,7,17,1,16,1,17,4,16,1,17,1,16,1,11,1,9,4,13,2,6,1,30,2,6,1,9,1,17,2,12,1,17,1,12,1,17,2,12,1,24,1,8,1,9,1,24,1,8,1,24,1,8,1,7,1,13,1,8,1,29,1,7,2,6,1,29,1,6,3,29,1,30,3,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,29,1,6,1,30,1,28,3,30,1,29,1,7,1,6,1,7,1,13,1,8,1,7,1,8,1,13,3,8,1,13,3,8,1,13,1,24,1,13,2,8,1,13,1,8,1,6,1,9,2,6,1,10,1,16,1,9,2,11,1,16,1,11,1,10,1,9,2,11,1,16,1,9,1,11,1,16,1,9,5,8,1,9,1,8,1,9,1,11,1,9,1,8,1,9,3,8,1,9,1,8,1,9,1,8,1,9,2,11,1,9,2,8,1,9,5,13,2,9,4,8,1,11,1,9,1,11,1,9,2,8,1,9,3,8,1,9,1,8,1,11,1,13,1,9,1,13,2,9,1,8,1,13,1,9,1,8,1,9,3,11,1,8,1,9,3,10,1,11,1,9,2,8,1,9,3,11,1,16,1,9,3,8,1,9,2,13,1,8,2,9,7,16,1,8,1,11,1,16,2,9,1,11,1,9,1,11,3,9,5,11,1,9,1,10,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,11,2,9,3,8,2,13,2,6,2,8,1,13,2,8,1,13,1,7,1,13,1,17,8,16,1,17,8,8,1,9,2,13,3,8,1,13,2,6,1,13,1,8,1,13,5,8,1,12,1,13,2,8,3,11,1,9,1,8,1,12,1,8,1,12,1,9,3,11,1,9,1,10,1,9,1,11,1,9,2,11,1,9,1,11,1,17,1,11,1,17,4,16,1,17,3,16,1,17,12,16,2,13,1,11,1,10,2,16,1,11,1,16,1,17,1,16,3,17,1,9,1,16,2,11,1,17,1,16,2,17,1,16,3,17,1,16,3,11,1,16,2,9,1,16,1,11,1,16,1,12,1,9,3,13,1,8,2,13,1,6,1,8,1,6,1,28,3,29,1,30,1,28,1,13,1,9,1,11,2,17,1,16,1,11,1,16,3,17,3,16,2,17,1,9,1,11,1,16,1,9,1,16,2,9,1,11,2,9,1,16,2,9,1,17,1,16,2,11,2,16,1,11,1,10,1,11,1,9,1,11,1,16,1,10,1,16,1,11,4,9,1,11,1,16,1,17,1,16,1,17,7,11,1,13,1,28,1,6,2,30,4,28,2,6,1,28,1,30,3,13,2,9,4,11,1,9,1,13,2,30,1,28,1,30,2,13,3,16,1,17,1,16,2,9,1,11,1,13,1,6,1,30,2,6,1,30,4,28,1,30,3,28,1,30,1,6,1,30,8,6,1,28,1,30,5,28,1,6,2,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,1,30,2,28,1,29,1,28,2,29,1,30,2,6,2,13,1,6,1,28,1,6,5,30,2,6,1,29,1,30,5,6,1,30,3,6,1,30,1,28,1,29,1,30,7,6,1,30,1,6,1,30,2,6,1,30,1,6,1,28,1,30,6,6,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,28,1,30,4,28,1,30,1,28,1,30,4,28,2,29,1,28,4,30,2,29,1,30,1,29,1,6,1,30,4,28,2,30,6,28,1,30,1,6,1,30,1,6,1,29,1,30,3,28,1,6,1,29,1,30,3,13,1,30,1,6,2,30,3,6,1,30,3,6,1,30,3,6,1,28,1,6,1,30,6,6,1,28,1,30,1,6,1,28,1,6,1,30,2,29,1,6,1,30,2,6,7,30,1,6,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,3,6,1,28,1,6,1,30,3,28,1,29,2,30,1,6,1,30,1,6,1,30,3,6,1,30,1,28,1,6,1,29,1,30,2,6,2,30,1,6,1,30,2,6,2,30,1,13,2,30,1,6,1,30,3,13,1,7,1,6,4,29,1,6,6,30,1,6,1,28,1,29,2,30,1,6,1,30,5,6,2,30,1,6,4,30,1,6,1,13,1,7,1,6,1,13,1,30,1,13,1,6,1,13,1,30,1,6,2,30,1,6,5,30,1,7,1,30,1,6,1,30,1,28,1,30,4,13,1,28,1,13,1,9,1,6,1,28,2,12,1,28,1,30,1,6,1,7,1,6,2,13,1,24,1,13,1,9,1,13,1,8,2,9,1,8,1,9,1,8,3,9,2,24,1,8,1,24,1,8,1,9,2,8,1,24,1,13,1,8,2,7,1,6,1,30,1,6,1,28,1,30,1,29,4,6,1,13,1,24,1,8,1,6,1,13,1,6,4,30,2,28,1,6,1,13,1,8,1,24,1,8,1,17,1,24,1,10,1,24,1,7,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,6,1,7,1,8,1,13,1,8,1,13,2,8,1,13,1,9,1,8,2,13,1,8,2,13,2,8,1,10,1,12,1,8,1,28,23,24,1,30,1,29,1,28,20,29,1,28,2,6,1,30,2,29,1,28,11,6,1,13,2,12,1,24,1,10,3,12,1,8,1,24,2,13,2,24,1,13,1,8,2,24,2,9,1,24,1,8,1,24,3,13,1,8,2,13,1,8,1,13,1,7,1,6,1,7,2,29,1,8,4,7,1,13,1,8,2,13,2,24,2,13,2,17,1,10,2,11,1,8,1,12,1,17,1,12,1,8,1,10,1,8,1,24,2,13,1,8,1,30,1,6,1,8,1,6,1,13,1,7,1,6,2,29,1,7,1,24,1,7,1,6,3,8,1,6,1,7,1,25,1,6,1,25,1,8,1,25,1,8,2,24,1,10,1,13,1,8,2,13,1,24,1,8,2,9,1,8,1,24,1,8,1,24,1,12,1,10,1,8,1,24,4,25,1,24,1,8,1,29,1,8,1,7,1,6,2,29,1,30,1,6,1,24,1,13,1,6,3,7,1,6,3,30,1,7,1,28,1,30,1,24,1,25,1,7,1,6,2,25,1,7,1,29,1,30,1,6,1,13,1,6,2,8,1,7,1,13,2,7,2,8,1,10,1,8,1,10,1,24,1,10,1,24,1,12,1,17,2,10,1,17,1,24,1,8,1,12,1,24,2,10,1,17,1,24,3,13,1,6,1,7,1,26,1,27,1,25,1,8,1,29,3,6,2,29,2,25,1,30,1,6,2,28,1,6,1,29,1,30,1,29,1,28,1,6,1,29,1,30,2,6,1,29,3,6,1,7,3,6,1,24,1,8,1,24,2,8,2,6,1,30,1,28,9,29,1,28,1,30,1,28,2,29,2,6,1,29,1,30,2,29,1,30,1,8,1,7,1,27,1,30,1,29,1,6,1,28,2,29,1,28,5,29,1,28,4,30,1,28,6,6,1,28,2,29,1,27,1,6,1,26,1,25,1,6,1,27,1,28,1,26,1,25,1,6,1,25,1,8,1,25,1,24,1,7,1,8,1,24,1,6,1,25,1,24,1,25,1,24,1,25,1,24,1,25,1,12,1,7,1,24,2,12,1,10,1,8,1,9,1,8,1,10,1,8,1,12,1,10,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,9,1,17,2,12,1,11,1,10,3,17,1,12,3,17,10,11,1,28,1,30,1,9,1,30,1,28,42,30,1,6,1,28,1,13,2,8,1,13,1,8,1,13,1,7,1,6,1,13,1,28,17,6,1,13,2,9,1,11,2,9,2,13,4,9,1,13,3,8,1,13,1,8,1,13,2,8,1,9,6,13,2,9,3,13,1,8,1,6,1,8,1,9,1,8,1,11,1,9,2,11,1,8,1,10,1,9,6,13,3,28,1,30,1,28,92,30,1,28,34,29,1,28,1,30,1,28,2,30,1,28,3,6,1,13,1,28,18,30,2,13,1,30,1,7,1,9,1,13,1,6,1,28,11,30,1,28,3,9,1,17,1,16,1,17,1,12,1,8,1,24,2,13,1,28,1,30,2,7,1,30,2,29,1,30,1,6,2,29,1,6,1,30,1,9,2,24,1,9,1,8,1,12,1,8,1,30,1,28,5,30,1,13,1,24,2,13,1,29,1,28,36,12,1,13,1,29,1,28,2,30,1,29,1,8,1,9,1,7,1,6,1,30,2,28,3,29,1,28,1,13,1,24,1,9,1,8,1,7,1,28,5,13,1,9,1,12,1,10,1,17,1,9,2,10,1,9,1,12,1,15,2,11,1,14,1,9,2,24,1,8,2,29,1,13,1,30,1,24,1,11,1,9,1,17,1,12,2,10,1,12,2,10,1,8,1,9,2,13,1,16,1,9,1,17,2,12,1,9,1,8,1,17,3,13,1,10,1,9,1,8,1,17,3,10,1,9,3,10,2,15,1,17,2,11,1,9,2,12,1,9,1,15,1,9,1,12,1,17,1,8,1,24,1,9,2,11,1,9,2,11,1,9,1,}, {8,1,15,1,10,1,12,2,11,2,17,10,16,1,17,1,16,1,17,18,16,2,17,3,16,1,17,10,9,1,6,2,28,1,6,1,30,1,8,1,17,2,24,1,8,1,6,2,13,1,6,1,30,1,28,6,8,1,12,1,24,1,6,1,28,20,30,1,28,23,30,1,28,1,6,1,13,1,29,1,13,1,12,2,6,1,30,1,28,1,29,1,17,1,11,1,24,1,13,1,29,1,30,1,9,1,7,1,8,1,13,1,7,1,6,2,30,2,28,6,30,1,7,1,8,1,13,1,28,5,30,1,8,1,17,2,16,1,9,1,8,2,9,1,10,1,9,4,17,2,14,1,12,1,9,1,13,1,6,2,30,1,7,1,30,1,28,33,29,1,30,1,28,1,30,1,6,1,8,1,14,1,9,1,13,1,28,4,29,1,12,1,17,2,10,1,17,1,10,1,11,1,24,1,7,1,8,1,24,1,6,1,13,1,7,1,13,1,8,1,6,1,29,1,7,1,13,1,29,2,30,1,24,2,17,1,12,1,9,1,17,3,8,1,30,1,28,10,30,1,28,3,8,1,7,2,13,1,30,2,6,1,30,3,28,1,30,2,28,1,30,3,6,1,30,2,28,3,30,1,28,1,30,1,28,1,6,1,7,1,29,1,28,1,30,1,28,1,29,1,28,2,6,1,29,1,28,8,6,1,30,1,6,1,28,1,29,1,30,2,6,1,29,1,30,1,29,4,6,1,30,1,6,1,7,1,29,2,7,1,30,4,29,1,28,1,6,1,29,2,30,1,28,1,30,1,6,1,29,1,6,1,29,1,6,4,30,1,29,1,28,1,6,1,28,1,29,1,13,1,30,1,6,1,29,1,7,1,30,2,7,1,30,1,29,1,13,1,30,1,7,1,29,1,6,1,13,1,6,1,8,1,13,1,7,1,13,1,6,1,7,2,6,1,13,1,6,2,24,1,6,3,30,1,13,1,6,1,13,1,7,1,6,1,30,1,6,3,30,1,29,1,30,1,6,1,13,1,6,1,29,2,6,1,7,1,29,1,13,1,6,1,13,5,6,1,13,1,9,1,13,2,10,1,17,1,9,1,13,1,7,1,30,1,28,1,6,1,29,1,7,2,30,1,13,1,24,1,7,1,13,2,6,1,8,2,13,4,8,1,7,1,9,2,8,1,13,1,8,1,13,1,8,2,13,1,6,1,13,1,6,1,8,1,9,1,13,2,9,2,12,1,9,1,16,1,9,1,10,1,11,1,8,1,13,3,10,1,16,2,17,1,16,1,17,3,16,2,11,3,16,2,11,3,16,1,11,1,9,1,11,1,9,1,10,1,16,1,11,1,16,1,9,1,16,1,11,1,16,4,11,1,17,2,9,1,11,2,9,1,11,3,16,1,11,1,10,1,9,4,13,1,8,1,9,1,10,1,9,5,11,1,9,3,10,1,11,4,9,1,16,1,11,3,16,1,9,1,11,4,16,3,11,1,16,5,17,5,16,2,17,1,9,1,11,1,12,1,24,1,13,1,8,1,13,1,6,1,7,1,6,2,8,1,9,1,17,5,16,1,9,1,8,2,24,1,8,3,9,1,8,1,13,1,8,1,29,1,30,1,13,1,6,2,30,1,6,1,29,1,30,2,28,2,30,1,28,2,30,1,28,2,30,2,28,5,30,1,28,3,6,1,30,1,28,2,29,1,7,1,30,1,13,1,6,1,13,2,8,1,7,1,24,1,13,2,8,1,13,1,6,1,8,1,13,1,8,1,13,2,8,1,7,1,8,1,13,2,9,1,8,1,11,1,9,1,11,2,9,2,11,2,9,3,10,1,9,3,11,1,9,7,11,1,13,1,11,1,9,5,8,2,9,4,8,1,9,3,8,1,9,8,11,1,10,1,9,3,11,1,9,2,8,1,9,1,13,1,9,2,10,1,9,3,11,1,10,1,11,1,8,1,9,1,8,1,9,4,11,1,9,4,10,1,9,3,11,1,9,1,11,1,9,5,11,1,9,2,13,1,10,2,9,4,11,1,9,1,11,1,9,3,11,2,10,1,11,1,9,1,16,1,10,1,16,1,11,4,9,1,11,1,10,1,9,1,16,1,11,1,16,1,11,1,9,4,11,3,8,1,11,1,9,1,8,1,9,4,16,1,9,2,8,2,6,1,13,1,8,1,13,3,9,1,17,6,11,1,17,1,13,2,17,7,13,1,8,1,13,2,9,1,13,1,8,1,9,1,13,1,8,1,13,3,8,1,13,2,9,1,8,3,9,1,13,1,24,1,9,2,11,1,9,1,11,1,9,4,11,1,10,1,9,1,16,1,11,2,9,2,11,1,9,1,16,1,11,1,16,1,10,1,17,1,16,1,17,1,11,1,16,1,17,14,16,2,9,1,16,1,9,1,11,1,10,1,11,2,16,1,17,1,16,2,9,2,11,1,16,1,11,3,16,2,17,1,11,1,17,1,16,3,17,1,11,1,17,1,11,2,17,1,11,1,17,1,16,1,12,1,13,1,9,1,24,1,13,1,24,2,13,1,6,1,30,2,28,4,30,2,8,1,10,1,16,1,17,3,11,1,16,1,17,2,16,2,17,2,11,1,17,1,9,1,11,3,8,1,10,1,9,1,16,3,11,2,16,1,17,1,10,1,11,1,9,2,16,1,11,4,16,1,11,1,16,1,11,1,9,1,16,1,11,1,9,2,10,1,9,1,16,1,11,1,17,1,12,1,16,1,17,1,16,1,17,2,16,1,9,1,28,5,30,1,28,1,30,1,28,3,30,3,13,2,9,7,13,1,6,3,30,1,13,2,9,1,16,3,11,1,9,1,16,1,13,1,6,1,30,8,28,1,30,4,28,1,30,6,28,1,30,2,28,1,29,1,6,1,30,1,28,1,30,2,6,3,30,1,6,2,30,3,28,1,30,3,28,1,30,1,28,1,30,3,6,4,29,1,28,1,30,2,7,1,30,1,28,1,29,1,28,1,29,1,30,1,6,1,28,2,30,4,29,1,30,2,29,1,30,5,28,1,30,2,28,1,30,5,6,1,30,2,6,2,30,1,6,2,28,1,6,1,30,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,30,3,28,1,6,1,30,4,28,1,30,4,28,1,30,2,28,1,30,1,6,1,30,3,29,1,6,1,30,1,6,2,30,3,29,1,30,1,28,1,30,1,28,1,30,5,28,1,30,2,7,1,6,1,30,2,29,1,30,1,6,3,30,1,6,3,30,2,6,1,30,1,13,1,6,2,30,3,29,1,30,4,6,2,30,1,28,1,30,4,6,1,30,4,6,1,28,2,29,1,6,1,30,3,29,1,6,2,30,2,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,2,30,1,28,1,30,2,28,1,13,1,29,1,30,5,28,1,6,1,28,1,30,2,6,1,30,2,6,2,30,6,28,1,7,1,30,3,29,1,30,2,6,2,30,1,6,2,7,1,13,3,6,1,30,3,6,1,28,1,6,7,30,1,6,2,29,1,30,1,29,1,30,1,6,1,7,1,6,4,29,1,6,1,30,1,6,1,13,1,6,1,13,1,6,5,13,1,30,1,6,1,13,1,6,1,29,1,30,3,6,5,30,3,6,1,29,1,30,3,6,1,28,1,13,1,9,1,30,1,28,1,30,1,17,1,28,3,30,1,6,1,7,1,13,3,9,1,13,1,9,1,13,1,9,2,13,1,8,2,24,1,9,1,10,1,9,1,8,1,24,1,8,2,9,1,8,1,13,2,6,1,29,1,30,1,28,10,29,1,28,1,6,1,30,1,6,3,28,7,6,1,24,1,8,1,12,1,10,1,12,1,8,2,7,1,28,1,29,2,28,1,6,2,30,1,13,1,7,1,24,1,7,1,8,2,24,1,9,1,12,1,13,1,8,1,24,1,9,1,8,1,9,1,11,1,9,1,12,1,13,1,28,24,7,1,6,1,30,3,28,2,30,1,28,18,6,1,30,1,6,1,30,1,6,1,28,1,30,1,7,1,30,1,28,2,30,2,8,2,13,1,10,1,24,1,10,1,24,1,10,1,13,1,24,2,8,1,24,2,12,1,24,1,12,1,9,1,12,1,9,1,12,3,10,1,12,1,9,1,17,1,12,2,8,1,9,1,10,1,7,1,24,1,8,1,24,3,8,1,9,1,24,1,10,1,13,1,24,1,10,1,24,1,10,1,8,1,10,1,9,1,10,1,12,1,24,1,10,4,24,1,17,1,9,1,10,1,24,1,12,1,13,1,8,1,24,1,25,1,8,1,25,1,27,1,8,1,6,2,7,1,13,1,7,1,13,1,29,1,6,1,30,1,6,1,24,1,30,1,6,1,27,1,25,1,7,1,25,1,24,1,25,2,6,1,10,1,8,1,13,1,7,1,13,1,24,1,7,2,24,1,10,1,9,1,8,1,12,1,13,1,8,3,24,2,12,1,17,1,24,1,25,1,24,1,8,1,6,1,8,2,29,2,28,1,29,2,7,1,29,1,13,1,30,2,6,1,13,1,6,1,13,1,30,1,28,1,13,1,30,1,8,1,29,1,25,1,7,1,25,1,27,1,30,1,6,2,29,2,6,1,8,3,13,1,24,1,6,1,8,1,7,1,10,1,8,1,24,2,13,1,12,1,8,1,10,1,24,1,12,1,10,1,13,1,8,1,9,1,12,1,24,1,9,1,24,2,8,1,24,1,10,1,7,1,24,2,8,1,29,1,6,1,30,1,29,1,30,1,27,1,7,1,28,2,7,1,29,1,27,1,30,1,6,1,28,2,30,2,28,1,30,1,28,2,29,1,28,1,29,1,6,1,28,1,6,3,13,1,7,1,24,1,8,3,24,1,8,1,30,2,28,12,29,1,30,1,6,1,29,4,28,1,30,1,6,1,24,2,30,1,6,1,28,2,30,1,28,1,6,1,28,5,30,2,28,3,30,1,28,3,7,1,28,1,30,1,6,1,28,1,29,2,6,1,30,1,6,1,29,1,27,1,6,1,29,1,8,1,6,1,8,2,24,1,6,2,29,1,7,2,8,1,29,1,8,1,6,1,12,1,25,2,8,1,24,1,8,3,24,1,8,1,10,1,12,1,7,1,12,1,13,1,24,1,10,1,8,2,24,1,9,1,13,1,24,1,13,1,9,1,8,1,17,3,11,1,8,1,9,2,10,1,11,1,17,4,16,2,17,8,9,1,13,2,28,41,6,1,30,1,29,1,30,1,9,1,13,1,7,1,13,1,6,1,8,1,7,1,30,1,28,15,30,1,28,1,13,1,17,1,11,2,17,2,10,1,9,1,8,1,13,2,9,1,8,1,13,1,9,2,13,3,8,1,13,4,8,1,9,1,13,3,8,1,9,3,8,1,9,3,13,3,9,4,10,1,9,1,8,1,9,1,13,1,8,1,9,3,13,3,6,1,30,1,28,125,30,1,28,3,30,1,28,27,30,1,28,7,30,1,28,13,24,1,14,1,12,1,17,1,11,1,8,1,10,1,8,2,7,1,8,1,7,1,29,1,30,1,6,1,30,1,28,2,30,2,29,1,6,1,24,1,9,1,24,1,10,1,9,2,7,1,30,1,28,6,8,1,15,1,24,1,8,1,6,1,28,35,6,1,12,1,10,1,6,1,28,2,30,1,8,2,10,1,13,2,6,1,28,5,13,1,6,1,8,1,9,1,7,1,6,1,28,5,10,1,11,1,10,1,30,1,29,1,13,1,9,1,24,1,12,1,17,1,24,1,14,2,9,1,15,1,9,1,24,1,8,1,29,1,6,1,29,2,13,1,7,1,13,1,17,1,16,3,8,1,16,1,9,5,11,1,16,1,10,1,17,1,12,1,24,1,8,1,17,1,11,1,17,1,10,2,9,1,13,1,17,3,12,1,11,1,10,1,9,3,17,4,12,1,17,1,12,1,8,3,17,1,11,2,12,1,9,1,11,1,8,1,16,1,9,1,24,1,9,1,}, {9,1,8,1,9,2,16,2,17,9,16,1,17,1,16,1,17,36,13,1,6,1,28,4,6,1,10,1,12,1,10,1,24,1,13,2,8,1,29,1,6,1,28,5,30,1,7,1,13,1,12,1,6,1,28,44,29,1,6,2,29,1,6,2,10,1,15,1,29,2,30,1,7,1,17,1,11,1,10,1,13,1,29,1,13,2,8,2,6,1,13,1,7,1,30,1,29,1,30,1,28,3,30,1,28,2,6,1,13,1,8,1,7,2,30,1,28,3,30,1,9,2,12,1,10,2,9,2,12,1,9,2,8,1,13,1,9,3,15,1,14,1,9,1,13,1,6,1,13,2,6,2,28,31,30,1,28,1,30,1,29,1,30,1,6,1,13,1,7,1,17,1,15,1,8,1,6,1,30,1,6,2,8,1,10,1,17,1,12,1,17,1,12,1,9,1,7,1,8,1,13,1,7,1,8,1,24,1,6,2,13,1,6,3,13,1,30,3,7,1,8,1,10,1,11,1,9,1,12,1,17,3,8,1,28,15,13,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,2,6,1,30,1,28,4,6,1,28,1,30,1,6,1,28,1,30,2,28,1,29,1,28,1,7,1,28,3,29,1,28,1,30,1,28,4,30,2,29,1,28,1,6,2,30,1,29,1,28,1,29,2,30,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,28,1,30,1,29,1,7,1,28,1,7,2,6,2,13,1,6,2,30,1,28,1,30,1,28,1,6,2,7,1,29,1,6,1,28,1,30,2,6,1,30,1,28,1,6,1,29,1,28,3,6,1,28,1,6,2,29,1,7,1,30,1,7,1,6,1,7,1,6,2,13,1,6,1,30,1,29,1,13,1,30,1,29,1,6,1,13,4,6,1,13,3,6,1,28,1,13,2,6,1,13,1,29,2,28,2,30,3,7,1,29,1,30,1,6,1,13,1,6,1,13,2,28,1,24,1,6,2,13,1,6,2,24,1,13,2,8,1,7,1,9,1,6,1,13,2,9,1,13,1,8,1,16,1,13,1,6,4,13,2,29,1,6,2,13,1,7,1,8,1,6,1,30,1,13,4,8,1,7,1,9,1,8,1,13,1,9,1,13,1,8,1,13,2,8,2,13,1,29,1,13,2,8,1,6,2,13,1,9,1,13,1,12,1,9,3,12,1,8,1,13,5,16,3,17,2,16,1,17,1,16,2,10,1,11,1,16,2,11,3,9,1,11,2,9,2,11,1,10,2,16,1,9,2,11,1,9,1,10,1,16,1,11,1,10,1,11,3,16,2,10,1,11,1,16,1,9,2,16,1,9,1,11,1,9,1,16,1,9,2,16,1,11,1,9,2,11,2,10,1,11,2,9,1,11,1,9,1,11,1,9,1,11,5,10,2,17,1,9,1,11,3,16,1,11,1,17,1,16,2,17,1,16,1,11,1,16,1,11,1,16,1,11,1,17,6,16,2,10,1,8,1,10,2,13,2,7,1,6,1,13,2,30,1,8,1,11,1,17,2,16,1,17,2,9,2,16,1,9,2,12,1,9,2,8,2,13,1,7,1,8,1,7,1,6,1,7,1,13,1,8,1,6,2,29,1,28,1,29,1,28,7,30,1,28,6,30,1,28,1,29,1,28,2,30,1,29,1,7,1,6,1,7,1,30,1,7,1,6,1,13,1,7,1,13,1,7,1,6,1,13,1,7,1,13,4,30,1,7,1,13,1,7,1,13,2,24,1,9,1,13,2,6,1,9,2,11,1,9,1,11,1,9,5,11,1,9,2,11,1,9,1,16,1,8,1,9,1,10,1,11,2,8,1,9,1,11,1,8,1,11,1,9,3,10,1,16,1,8,1,9,1,8,2,9,2,8,1,9,5,8,1,9,5,10,1,11,1,9,2,11,1,10,1,9,1,8,1,9,4,8,1,9,3,11,1,9,3,11,2,10,1,9,3,13,1,9,1,13,1,9,3,13,1,9,2,11,1,9,1,10,1,9,5,11,1,9,2,11,1,9,4,11,1,9,1,13,1,9,2,11,1,9,1,13,1,16,1,10,2,11,2,9,1,16,1,11,1,16,1,11,4,10,2,11,2,16,1,9,1,16,1,11,1,9,1,11,3,10,1,9,1,11,1,16,1,10,1,9,4,16,1,9,1,17,1,11,2,10,1,9,1,8,1,9,1,13,1,8,1,13,2,24,1,17,9,10,1,8,1,9,2,17,3,16,1,9,1,13,2,8,1,13,1,8,1,13,2,9,2,13,1,9,1,8,1,11,1,6,1,8,4,13,1,12,1,9,1,13,1,9,1,11,1,16,1,10,1,9,1,16,2,11,1,9,1,11,1,9,1,13,1,17,1,9,1,10,1,9,1,11,1,8,1,11,1,9,2,8,1,12,1,9,1,11,1,16,1,17,1,16,1,17,8,16,2,17,1,16,1,17,1,16,1,17,1,9,2,11,1,10,2,9,1,10,1,17,1,11,1,16,3,9,1,11,1,8,1,11,1,17,1,16,1,10,1,16,1,17,1,16,7,11,1,16,2,11,1,10,1,9,1,12,1,10,1,9,2,10,1,8,1,10,1,8,3,7,1,29,1,28,1,30,1,28,3,29,1,28,1,30,1,13,1,16,3,9,1,17,1,16,1,17,2,11,1,17,1,16,1,11,1,17,1,16,1,17,1,11,1,9,1,11,1,9,1,11,1,17,1,11,3,9,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,9,1,11,1,9,1,11,3,9,1,10,1,16,1,11,1,9,1,11,1,16,1,9,1,8,1,16,1,17,3,12,1,16,1,11,1,17,3,16,1,30,1,28,7,30,2,28,2,30,1,28,1,30,1,6,1,9,1,13,2,9,1,13,1,9,2,13,2,30,1,6,1,28,1,6,1,13,1,9,2,16,4,11,1,9,1,8,1,30,2,6,1,30,5,28,1,30,3,28,1,30,3,28,1,30,2,28,1,30,2,28,1,30,1,29,1,30,2,28,2,30,3,6,3,29,1,28,1,6,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,3,13,2,6,1,30,1,28,1,6,5,30,5,6,1,28,1,6,1,30,1,28,1,30,3,28,1,30,5,28,1,6,1,30,1,6,1,30,1,28,1,29,2,30,3,6,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,2,6,2,30,1,7,1,6,1,30,2,6,2,29,1,6,1,30,1,6,2,30,2,6,1,30,3,28,2,6,1,30,1,28,1,30,3,28,1,30,1,28,1,29,1,30,2,13,1,6,1,30,5,6,2,30,2,28,1,30,2,6,1,13,1,6,2,30,2,6,1,7,1,28,1,29,1,6,1,29,1,6,2,30,3,13,1,30,2,6,1,13,1,6,6,29,1,30,1,6,3,28,1,30,1,29,1,30,1,6,1,28,1,30,1,6,1,29,1,30,2,6,1,30,2,6,1,30,2,28,1,6,2,30,1,29,1,6,1,29,1,30,7,6,1,28,1,30,4,28,1,30,4,29,1,30,1,29,1,30,1,6,1,28,1,30,2,29,1,6,1,30,1,29,1,30,1,6,2,28,1,6,1,30,1,6,2,30,3,6,1,30,4,6,1,30,1,6,4,13,1,9,1,6,3,13,1,6,1,13,1,30,1,6,2,30,1,13,1,6,4,13,1,6,3,30,1,28,1,6,1,28,1,6,1,30,1,7,2,6,3,30,2,6,2,30,1,7,1,6,1,7,1,13,1,6,1,13,1,6,3,13,1,6,1,30,1,6,1,7,1,6,1,30,1,13,1,6,4,7,1,30,1,28,1,6,1,28,1,30,3,6,2,30,1,29,1,9,1,7,1,28,1,6,1,17,1,28,5,29,1,30,1,29,1,13,2,6,1,8,1,24,1,9,1,11,1,8,1,24,1,8,1,9,1,8,1,11,1,8,1,9,1,24,1,10,1,24,1,8,1,9,1,13,1,7,1,28,15,29,1,30,2,28,10,30,1,24,2,7,1,8,1,9,1,13,1,6,2,30,1,29,1,30,1,28,2,6,2,7,1,13,1,7,1,8,1,24,2,13,1,8,4,13,1,10,3,17,1,24,1,28,25,30,1,13,1,29,1,6,1,28,1,30,1,28,18,30,1,28,1,30,1,28,1,30,3,6,1,29,1,24,1,6,1,8,1,13,1,8,3,9,1,24,1,10,1,24,1,8,1,7,1,13,1,6,1,8,1,7,1,24,1,13,1,8,1,10,1,9,2,24,2,12,1,10,1,12,1,9,1,12,2,17,1,8,1,10,1,13,1,12,1,8,1,24,3,13,1,8,2,24,1,7,1,8,1,13,1,10,1,13,1,8,1,24,2,8,1,24,1,10,1,7,1,10,1,9,1,10,1,12,1,9,1,24,2,9,1,12,1,24,1,8,1,6,1,10,1,24,2,8,2,25,1,24,1,8,2,29,1,6,1,13,1,6,2,29,1,13,1,6,1,7,1,6,1,7,1,24,1,6,1,25,1,6,2,25,3,6,1,24,1,25,1,24,1,13,2,8,1,6,1,13,1,8,3,10,1,24,1,10,1,24,4,13,1,8,1,24,3,8,1,24,1,8,1,6,1,24,1,6,2,7,1,6,1,28,1,8,1,13,1,8,1,28,2,8,1,30,1,6,2,29,1,30,1,7,1,29,1,7,1,8,1,6,2,29,1,25,2,6,1,7,1,6,1,7,2,25,2,6,1,7,1,24,1,13,1,8,1,7,1,8,1,24,1,8,1,6,1,24,1,10,1,24,1,10,1,8,1,24,1,8,1,9,1,10,1,24,1,9,1,8,1,12,2,8,1,12,1,24,3,12,1,24,1,8,1,24,1,6,2,30,1,7,1,29,1,30,1,6,1,28,1,30,1,25,2,28,1,30,1,6,1,28,1,29,2,28,1,30,1,28,1,8,1,6,1,30,1,28,2,29,1,28,1,7,1,8,2,7,2,24,1,8,1,24,2,10,1,8,1,6,1,28,13,6,1,29,1,28,1,29,1,30,1,7,1,30,1,7,1,6,1,7,1,8,1,24,1,30,1,25,1,30,1,28,1,30,1,6,1,30,1,28,2,29,1,30,1,28,2,30,1,28,5,30,1,28,1,30,2,28,2,30,2,6,1,29,2,25,2,28,1,6,1,25,1,6,1,26,1,8,1,6,1,8,1,10,1,24,1,8,1,29,1,7,1,8,2,7,1,10,1,7,1,25,1,8,2,10,1,7,1,24,2,8,1,13,1,24,1,10,1,7,1,24,2,9,1,24,1,13,1,8,1,13,1,9,1,13,1,12,1,13,1,8,1,9,1,11,1,12,1,9,2,11,1,12,1,11,1,17,17,8,1,30,1,28,43,30,1,13,1,6,2,13,1,6,3,28,15,30,2,9,2,10,1,11,1,17,2,12,1,8,1,9,1,8,1,13,6,9,1,8,1,9,1,13,1,8,2,13,2,10,1,6,1,13,3,9,2,8,1,9,1,13,1,11,1,9,1,13,1,9,1,13,1,9,2,8,1,11,1,9,1,13,1,9,5,13,2,9,1,8,1,9,1,8,2,30,1,6,1,30,1,28,165,30,1,28,13,9,1,14,1,9,1,17,1,12,1,9,1,10,1,24,1,6,1,29,1,6,1,13,1,28,1,29,1,28,2,30,2,29,1,28,1,6,1,13,1,8,1,9,1,10,4,8,1,28,7,9,2,24,1,13,1,6,1,28,36,11,1,8,1,30,1,28,3,8,1,9,1,10,1,8,2,6,1,28,1,30,2,28,2,30,1,13,1,8,3,30,1,28,5,8,1,9,1,13,1,28,4,7,2,10,1,15,2,14,1,10,1,12,2,9,1,24,1,6,1,29,1,6,1,13,1,6,3,12,1,9,1,17,1,14,1,9,1,11,1,10,1,9,1,8,1,11,1,15,1,14,1,9,1,10,1,17,1,9,1,8,1,16,2,17,2,12,1,9,1,13,1,9,1,12,1,17,1,11,1,17,1,10,1,12,1,10,1,9,1,12,2,17,3,11,1,10,3,12,1,9,1,17,1,9,1,17,1,9,1,12,1,9,1,17,1,9,1,16,1,9,1,24,1,}, {10,1,9,2,16,1,17,33,16,1,17,10,10,1,12,1,11,1,12,2,17,1,7,1,29,1,30,1,28,3,29,1,9,1,12,1,8,1,13,2,8,1,29,2,6,1,28,6,13,1,24,1,12,1,28,45,30,1,6,2,7,1,13,2,12,1,8,1,6,1,28,1,29,2,15,1,17,1,9,1,7,1,6,2,13,2,7,1,13,1,7,1,8,1,6,1,7,1,30,2,28,3,30,1,28,1,6,1,8,1,10,1,9,1,29,1,28,3,30,1,28,1,9,1,12,2,10,1,9,1,11,1,12,2,8,1,10,1,13,1,24,1,9,3,14,2,9,1,13,1,6,1,13,3,6,1,28,32,6,1,28,3,30,1,29,1,13,1,24,1,11,1,13,1,30,1,28,1,13,1,8,2,13,1,17,2,11,2,12,1,13,2,7,1,13,1,6,1,13,1,30,1,6,1,13,1,6,1,7,1,13,1,6,2,29,1,30,1,13,1,8,1,11,1,9,1,12,2,17,3,16,1,28,11,30,1,28,3,6,3,28,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,6,1,28,4,30,2,6,1,30,1,28,1,29,1,28,1,29,1,30,1,28,5,30,2,28,1,30,1,28,3,6,1,28,2,29,1,28,2,6,3,28,3,30,2,28,1,29,1,6,1,29,1,28,2,30,1,28,1,30,2,6,2,30,3,6,1,29,1,28,1,30,1,29,2,6,2,30,1,29,1,6,1,30,1,29,1,6,2,30,1,13,1,6,1,28,1,7,1,30,1,6,3,28,2,6,1,30,1,6,1,30,1,13,1,6,2,13,1,28,1,13,1,29,1,6,1,30,1,13,1,6,1,30,1,24,1,13,1,7,1,8,1,6,2,29,1,30,1,7,2,6,3,7,1,30,1,6,1,8,1,6,1,13,6,30,1,29,3,7,1,13,1,7,1,13,1,6,1,30,1,13,1,29,1,7,1,13,2,6,1,30,2,8,2,7,1,13,2,7,1,13,1,9,1,10,1,9,2,8,1,29,1,30,1,28,1,13,1,28,1,13,1,7,2,6,1,8,1,13,1,7,1,13,2,8,1,13,8,8,1,13,3,8,1,13,1,8,2,13,3,9,1,13,1,8,1,13,1,8,2,9,4,12,1,16,1,13,4,9,1,17,1,11,1,17,2,16,1,17,1,11,1,16,1,11,1,17,1,9,1,16,1,9,1,16,1,11,1,9,3,11,2,9,2,10,1,11,2,10,1,9,1,16,1,9,1,16,1,9,1,11,2,16,1,10,1,11,1,16,1,17,1,11,6,9,1,11,2,9,1,10,1,9,3,11,2,9,2,10,1,9,1,11,3,9,3,16,1,11,3,9,1,11,1,9,1,11,2,16,1,11,1,16,1,9,1,16,3,17,2,16,1,9,1,11,3,16,1,17,10,9,1,11,1,13,1,7,1,30,1,6,5,10,1,17,4,16,1,11,1,10,1,9,1,24,2,13,1,24,2,8,2,9,1,13,1,6,1,13,2,9,1,13,1,6,1,28,2,30,1,28,6,30,1,29,1,28,3,30,1,28,1,30,1,28,3,29,1,28,1,29,1,28,2,30,1,28,1,6,2,30,1,8,1,28,1,8,1,6,2,8,1,6,1,13,2,29,1,13,4,6,1,8,1,13,1,8,1,13,1,24,1,8,1,7,1,13,1,9,5,16,1,9,1,11,1,9,1,11,1,9,1,8,1,10,1,11,1,9,6,10,1,9,2,8,1,11,1,13,1,11,1,9,1,13,1,9,1,13,1,9,3,8,2,9,6,10,1,9,1,10,1,9,1,10,1,9,2,16,1,10,1,11,1,9,1,10,1,9,2,11,1,9,1,13,1,9,3,11,1,9,1,11,1,9,1,13,1,9,1,10,1,9,6,10,1,11,1,8,1,9,6,10,1,11,2,10,1,9,4,8,1,11,1,9,1,11,1,9,10,11,4,16,1,9,1,11,2,16,1,11,2,9,1,11,1,16,1,11,5,16,1,11,2,16,1,9,1,16,2,11,2,9,2,11,4,16,1,17,1,16,1,17,2,9,1,17,1,11,2,8,1,13,1,8,1,9,3,10,1,17,2,12,1,17,3,16,1,11,1,10,1,16,1,11,1,9,2,16,1,12,1,10,1,11,1,10,1,8,1,9,1,13,1,8,1,29,1,9,3,13,1,11,1,8,1,9,3,13,2,9,1,6,1,13,1,8,2,9,1,11,1,8,1,10,1,12,1,17,1,12,1,9,1,10,1,9,1,11,2,12,1,11,2,9,1,11,2,10,1,13,1,16,1,10,1,9,1,10,1,9,1,11,2,16,2,17,1,16,1,17,11,16,1,17,1,16,1,11,1,16,1,9,3,16,2,17,1,16,2,17,1,9,1,16,1,9,1,16,2,11,1,17,1,9,1,16,2,17,1,11,1,16,1,11,1,16,2,17,1,9,1,16,1,12,1,11,1,12,4,16,1,9,1,7,1,8,2,10,1,6,1,24,1,29,1,6,1,28,5,30,1,28,1,30,1,13,1,9,1,11,1,16,1,11,1,17,1,16,1,17,2,11,2,17,5,9,1,11,1,9,2,11,1,16,1,17,1,16,1,17,1,12,1,17,1,16,1,9,1,11,1,9,1,11,2,9,2,11,1,9,1,17,1,9,1,11,1,9,1,16,1,8,1,9,2,11,1,9,1,13,1,8,1,9,1,11,1,12,1,17,2,12,1,11,1,10,1,17,4,9,1,6,1,28,3,30,1,28,1,30,1,28,3,30,1,28,1,30,2,28,1,13,3,9,5,13,2,30,1,13,1,6,1,13,1,9,1,11,3,16,2,17,1,11,1,13,1,30,3,6,1,30,15,6,1,28,1,30,2,28,1,6,1,30,2,29,1,28,1,6,2,7,1,28,1,29,2,6,2,30,1,28,1,30,2,28,1,30,3,6,1,30,2,6,2,7,1,28,1,30,1,6,5,30,1,6,2,30,1,29,1,30,5,28,1,30,4,6,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,1,6,1,29,1,6,1,30,2,6,2,30,1,6,2,30,2,6,3,30,1,13,1,28,1,30,1,13,1,28,1,6,3,30,3,29,1,6,1,29,1,30,1,6,2,30,3,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,3,29,2,6,1,13,1,6,1,30,5,29,1,30,2,28,1,30,1,6,2,28,1,30,2,29,1,28,1,30,4,6,2,30,1,29,1,7,1,29,1,6,3,30,1,6,2,7,1,6,3,28,1,30,2,6,1,28,1,30,10,6,1,28,1,30,6,28,1,29,1,30,1,6,2,30,7,28,1,6,1,28,1,29,1,6,1,28,1,6,1,30,1,29,1,28,1,30,2,29,1,28,1,30,1,6,1,30,2,6,4,28,1,6,2,30,1,6,1,30,1,6,2,29,1,30,2,29,1,30,4,6,5,13,1,6,2,13,1,30,1,13,1,6,1,9,1,6,1,13,1,6,1,13,1,6,2,13,1,7,1,6,2,7,1,6,2,30,1,13,2,29,1,13,1,6,7,29,1,6,1,13,1,6,3,13,1,6,2,13,2,6,1,13,1,6,2,13,3,6,1,30,1,6,2,7,1,6,6,30,1,6,2,13,1,28,1,6,1,30,1,28,1,30,4,28,1,29,1,9,2,6,1,13,1,17,1,28,6,30,1,6,3,13,2,8,1,9,1,8,1,9,2,11,1,8,1,10,1,9,2,13,1,9,1,8,1,9,2,13,1,9,1,6,1,28,28,29,1,13,1,8,3,9,1,7,1,30,1,28,3,30,1,28,2,30,1,7,1,13,2,24,2,10,1,13,1,8,3,13,1,8,1,9,1,12,1,9,1,17,1,7,1,28,27,13,1,7,1,30,2,28,23,30,1,28,1,30,1,29,1,7,1,25,2,24,1,8,1,24,1,8,1,24,2,8,1,7,1,13,1,7,1,6,1,8,1,7,1,6,1,8,1,7,1,6,1,8,2,24,1,8,1,13,1,8,1,24,1,8,1,24,1,12,1,10,1,8,2,24,1,8,1,24,1,7,2,8,3,7,1,8,1,13,1,24,1,7,2,8,1,6,1,8,2,13,1,7,1,24,1,13,2,24,2,7,1,13,1,24,1,8,4,12,1,8,1,24,1,8,1,24,1,25,2,29,1,7,1,24,1,8,1,26,1,8,1,7,1,30,1,13,1,7,1,29,2,8,1,7,2,25,1,29,1,6,2,25,1,8,1,7,1,30,1,25,2,29,1,25,1,6,1,24,1,8,1,13,3,8,1,24,1,13,1,12,1,10,2,24,7,8,1,10,2,7,1,25,1,8,1,25,2,6,1,7,1,6,4,8,1,13,1,6,1,30,2,7,1,6,1,7,2,13,1,29,1,7,4,6,1,8,1,6,1,25,2,7,1,6,1,25,1,6,1,7,1,6,1,13,1,24,1,7,1,13,2,8,1,24,2,9,1,24,1,13,2,24,1,12,1,9,1,8,1,13,1,24,1,17,2,8,1,12,1,10,1,12,3,17,1,12,1,8,1,24,2,8,1,24,1,25,1,10,1,7,1,25,1,29,1,7,1,29,1,7,1,29,1,30,1,29,1,28,1,29,1,28,1,29,1,30,1,28,2,6,1,28,1,6,1,28,2,30,1,29,1,6,2,30,1,6,1,30,1,24,1,25,1,24,2,8,2,24,2,30,1,28,14,6,1,28,1,7,1,28,1,7,1,30,1,6,1,13,1,30,1,6,1,25,1,24,1,7,1,6,1,29,1,7,1,6,1,29,2,28,3,30,1,28,3,29,1,28,1,30,1,27,1,28,1,30,1,29,1,28,1,30,1,6,1,29,2,27,1,6,1,28,1,25,1,27,1,29,1,8,1,29,1,25,1,7,2,24,1,8,1,6,1,24,1,6,1,25,1,8,2,7,1,6,1,24,1,8,1,13,1,8,1,25,1,10,1,12,1,8,1,24,1,8,2,24,3,13,2,8,1,7,1,8,1,13,4,8,1,13,1,11,1,10,1,17,1,9,1,12,1,8,1,17,2,12,1,17,16,9,1,8,1,28,42,30,2,7,1,6,1,8,1,6,1,13,2,30,1,28,14,30,1,13,1,8,1,9,1,8,1,9,1,17,3,9,2,8,1,13,1,8,1,13,2,8,2,9,1,13,1,8,2,9,1,13,2,6,1,13,2,8,1,13,1,9,1,13,4,9,4,13,1,8,2,9,1,11,1,9,2,11,1,9,4,8,1,9,1,13,3,9,2,13,1,6,1,13,1,8,1,6,1,28,105,30,2,28,2,30,1,28,10,7,1,30,1,28,32,13,1,11,1,13,1,28,10,29,1,28,11,29,1,12,1,17,1,12,1,17,1,15,1,9,1,24,1,8,2,7,1,30,1,6,1,29,1,30,1,29,1,30,1,29,1,30,1,6,1,30,1,6,2,13,1,8,1,24,1,8,1,9,1,8,1,7,1,28,7,13,1,14,1,9,1,29,1,30,1,28,36,9,1,8,1,30,1,28,2,30,1,8,1,24,1,13,1,24,1,7,1,28,1,29,1,28,2,7,1,29,1,7,1,8,1,10,1,9,1,8,1,28,6,8,1,24,1,6,1,28,6,6,1,24,1,17,1,14,1,9,2,12,3,8,1,13,2,29,2,6,1,30,1,7,1,13,1,24,1,15,1,9,1,24,1,9,2,15,2,14,2,16,1,11,1,9,2,17,1,11,1,17,3,16,1,8,1,9,1,8,1,17,1,12,1,17,1,9,1,10,1,17,1,8,1,11,1,9,1,10,1,17,3,10,1,11,1,24,1,9,1,24,1,12,1,10,2,9,1,24,1,10,2,16,1,10,1,9,1,16,1,9,1,}, {9,1,12,2,17,1,12,1,17,1,12,1,17,8,16,1,17,29,12,1,9,1,13,1,28,1,8,1,24,2,12,1,15,1,7,1,29,1,28,4,29,1,24,1,17,1,24,1,13,2,29,2,30,1,28,1,29,1,28,5,6,1,8,2,6,1,28,42,30,2,28,1,30,1,7,2,13,2,24,1,12,1,30,2,28,1,30,1,10,1,9,2,13,3,8,1,13,1,8,1,12,1,13,1,6,3,28,1,30,1,28,5,6,1,8,1,24,1,8,1,6,1,28,1,30,1,28,3,7,1,12,2,11,2,12,1,9,2,8,1,12,1,9,3,12,1,13,1,15,1,14,1,15,1,6,1,7,1,6,1,13,1,8,1,6,1,28,32,30,2,28,3,30,1,6,1,8,1,10,1,13,1,6,1,12,1,9,1,29,1,6,1,7,1,17,1,11,1,12,1,17,1,13,1,8,3,29,1,6,1,13,1,30,1,13,1,7,1,8,1,7,1,13,1,30,1,6,1,28,1,8,1,6,1,24,1,9,1,10,1,12,1,17,4,12,1,28,16,29,2,30,1,28,4,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,3,29,1,30,1,28,1,30,1,28,2,30,2,28,2,29,1,28,1,29,1,6,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,6,1,28,1,30,4,29,1,6,1,28,2,6,1,30,1,6,2,28,1,29,1,6,1,28,2,30,1,29,1,7,1,30,1,6,1,29,1,28,1,29,1,6,1,28,2,13,1,29,1,7,1,30,1,28,1,29,2,6,1,30,1,6,1,7,1,6,2,30,1,28,1,30,1,6,1,29,2,6,2,30,1,29,1,28,1,30,2,29,2,6,1,30,1,6,1,28,1,29,1,30,2,6,1,13,1,7,1,13,1,6,1,13,1,30,1,6,2,13,3,28,1,13,1,6,2,13,1,29,1,30,1,13,1,28,2,6,5,13,1,30,1,13,1,8,1,13,2,6,2,30,1,13,2,7,2,13,1,6,1,9,1,7,1,9,1,8,1,13,3,9,1,13,1,9,1,11,1,9,1,28,1,30,2,7,1,30,1,6,3,29,1,7,1,6,1,13,1,6,1,8,1,7,1,9,2,13,1,6,1,13,2,7,1,13,1,8,1,7,1,13,1,9,1,13,1,8,2,9,1,13,1,6,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,12,1,11,1,16,1,9,2,13,4,11,1,16,1,17,2,16,1,17,3,11,2,16,1,9,1,16,2,10,1,9,1,11,2,9,1,11,2,9,1,10,1,11,1,9,1,16,1,11,2,16,1,9,1,16,2,9,1,11,1,16,1,11,2,16,1,11,3,10,1,11,1,10,1,11,1,9,1,13,1,9,2,10,1,13,1,11,1,9,1,11,2,9,2,16,1,11,1,9,3,11,2,16,1,11,2,9,1,10,1,11,5,16,1,11,2,17,1,10,1,16,1,17,2,16,5,11,1,17,11,10,1,9,1,24,1,8,1,13,2,6,1,30,1,29,1,6,1,13,1,12,2,17,3,10,1,9,1,17,1,9,1,10,1,24,2,9,1,13,1,8,1,9,1,13,2,7,2,6,1,13,1,7,1,30,1,6,1,28,2,30,1,28,3,30,1,29,1,28,1,30,2,28,6,30,1,28,2,29,1,30,2,29,2,30,1,7,1,30,1,8,1,29,1,6,1,13,1,6,1,7,1,6,1,13,2,6,3,13,1,8,1,7,1,6,1,13,1,7,3,13,1,8,1,7,1,9,2,13,1,9,1,10,1,9,1,10,1,11,2,10,1,9,3,11,1,9,2,8,1,9,5,13,1,8,1,10,1,9,2,11,1,13,1,9,1,8,1,9,1,8,1,9,5,8,1,10,1,11,1,9,1,11,1,9,2,8,1,9,1,13,1,9,1,13,2,9,1,10,1,8,1,10,1,9,1,10,2,9,1,11,1,8,1,9,3,11,2,10,1,11,1,13,1,9,1,11,1,9,1,8,1,9,2,8,1,9,7,11,1,10,1,11,1,9,2,11,2,9,1,11,1,13,1,9,1,11,3,9,4,11,3,9,1,10,1,17,1,8,1,9,1,11,3,16,1,9,1,16,1,9,1,17,1,16,1,11,11,9,1,16,1,11,1,16,1,9,1,11,1,10,1,9,2,11,1,16,1,17,2,16,5,11,1,9,1,13,2,9,1,6,1,9,3,17,1,10,1,12,1,16,1,17,2,12,1,9,2,8,1,12,1,9,2,10,1,9,1,11,1,10,1,9,3,8,1,9,1,7,2,8,1,9,2,10,1,9,2,10,1,9,1,8,1,9,2,10,1,11,1,9,2,13,1,10,1,9,1,17,1,9,2,11,1,9,1,11,1,8,1,11,2,8,1,9,2,12,1,10,1,9,4,11,1,10,1,9,1,11,1,9,1,10,1,17,2,16,1,17,4,16,1,17,3,16,1,17,5,16,1,17,1,11,1,10,1,11,3,10,1,16,1,11,1,9,1,11,1,17,1,16,2,9,1,17,1,11,2,16,2,17,3,9,1,16,1,11,2,9,1,16,1,17,1,16,1,10,1,17,1,8,1,16,1,13,1,12,1,8,2,7,1,24,1,13,1,7,1,13,1,30,1,29,1,28,3,6,1,28,2,29,1,13,1,11,1,9,1,11,1,17,1,16,1,17,1,16,1,17,2,16,1,9,1,17,1,10,1,17,3,16,1,11,1,9,1,11,1,10,1,16,1,9,2,11,1,16,2,17,1,16,1,12,1,9,1,11,1,16,1,10,1,16,1,11,1,10,1,16,1,11,1,10,2,9,3,10,1,9,1,10,1,9,2,8,2,11,1,9,1,17,1,10,1,17,1,12,1,24,1,12,1,17,3,13,1,28,4,30,1,28,2,30,1,28,7,6,1,13,4,9,2,13,3,6,1,13,3,9,1,11,2,16,5,13,1,30,1,6,1,29,1,30,6,6,1,28,1,30,5,29,1,6,1,30,2,28,1,30,1,28,1,30,3,28,1,30,3,13,1,30,3,6,1,7,1,30,1,6,1,30,1,28,1,30,1,6,1,28,1,30,1,28,1,6,2,7,1,13,1,30,1,6,1,30,3,6,1,30,1,29,1,28,1,6,1,28,1,30,2,6,1,30,2,28,1,30,1,28,1,6,4,30,3,6,1,30,1,28,1,6,1,30,4,6,1,30,1,6,1,30,1,6,2,30,4,6,1,30,2,6,1,30,2,6,1,30,2,6,1,30,1,13,1,29,1,30,1,7,1,6,1,30,1,6,2,30,1,13,1,6,1,30,3,6,2,29,1,30,1,6,1,28,1,6,1,30,5,6,2,30,1,13,1,6,2,29,1,6,3,30,7,28,1,30,1,29,2,6,2,30,5,6,1,7,1,6,1,13,1,6,1,28,1,6,1,7,1,30,2,29,1,13,1,6,2,29,1,30,1,29,1,30,1,6,2,30,3,6,1,30,5,28,1,30,3,6,1,30,3,6,3,30,1,28,1,6,2,30,1,6,1,30,1,28,1,29,1,30,5,28,1,30,7,28,1,30,1,29,2,30,1,6,1,30,1,6,2,7,1,30,1,13,1,6,2,30,2,29,1,30,1,6,3,29,1,30,2,6,2,30,1,6,3,30,1,13,1,6,2,7,1,6,2,7,1,13,2,30,1,13,3,6,3,13,1,6,2,13,1,6,2,13,1,6,1,13,3,6,3,13,1,6,2,7,1,13,1,7,1,30,1,6,1,13,1,6,1,13,1,6,2,9,1,13,2,30,1,13,2,6,2,29,1,6,4,13,1,6,5,13,1,6,1,13,1,6,1,30,1,6,3,30,1,13,1,6,1,30,1,13,2,7,1,8,1,13,1,11,1,6,1,28,7,6,1,29,1,6,1,7,1,13,1,9,1,24,1,10,2,9,2,11,1,9,1,10,1,8,1,24,1,9,3,24,1,11,1,29,1,28,28,30,1,13,3,9,1,8,1,13,1,28,5,30,2,6,1,29,1,8,1,7,2,8,1,7,1,13,2,8,1,13,1,8,1,12,1,9,1,10,1,17,1,13,1,28,28,13,1,7,1,29,1,30,1,28,21,29,1,28,1,29,1,7,1,29,1,6,1,30,1,6,1,25,1,6,2,24,1,8,1,25,1,13,1,6,1,24,1,6,1,7,1,6,1,30,1,7,1,30,1,6,2,13,1,29,1,8,1,13,1,6,1,13,1,8,1,6,1,8,2,24,1,13,1,24,1,25,2,24,1,6,1,25,1,7,1,8,1,7,1,6,1,29,1,25,1,7,1,6,1,29,1,7,3,13,1,6,2,8,1,6,1,8,1,7,1,8,1,6,1,7,1,8,2,13,1,7,1,24,1,13,1,7,1,24,2,7,2,25,2,24,1,6,1,8,1,6,1,25,1,8,1,6,1,29,1,25,1,8,1,29,1,7,2,13,1,7,1,25,1,24,1,25,1,8,1,29,1,25,1,8,1,25,1,26,1,30,1,8,2,25,1,7,1,12,1,13,2,24,1,7,2,8,1,24,2,10,1,12,3,13,1,12,1,8,1,24,1,25,1,10,1,24,1,8,1,24,1,8,1,7,1,29,1,8,1,25,1,29,1,8,1,13,1,25,1,24,1,29,3,30,1,8,1,29,1,30,1,13,1,7,1,6,1,29,1,6,1,30,1,6,1,25,1,8,1,29,1,6,1,25,1,6,1,29,1,8,1,30,1,25,1,6,2,8,1,13,2,24,1,13,2,10,1,24,1,8,1,9,1,24,1,8,2,12,1,24,2,10,2,17,1,12,5,17,1,24,1,12,3,24,3,25,1,6,1,7,2,6,1,28,1,30,1,29,1,30,1,29,2,6,1,30,1,28,1,6,2,28,1,29,1,6,1,29,1,30,1,6,1,29,1,6,1,30,1,6,1,30,2,7,2,8,3,13,1,24,3,13,1,30,1,28,12,30,1,29,2,30,1,29,1,6,1,7,1,6,1,7,1,30,2,6,1,30,1,8,1,29,1,7,1,6,1,29,5,28,3,6,1,28,2,6,1,30,2,6,1,28,1,30,1,28,2,29,2,28,1,29,1,30,1,26,1,29,1,6,1,29,2,8,1,6,1,8,1,6,1,25,1,24,1,25,1,6,1,25,1,24,1,29,1,8,1,7,1,29,1,7,2,8,3,12,1,8,1,24,1,8,2,13,1,8,1,6,2,7,1,6,1,13,2,8,1,7,1,8,1,13,1,8,1,13,2,9,1,17,1,12,2,9,3,12,1,11,1,17,2,12,1,17,15,30,1,28,41,6,1,13,5,6,2,30,1,28,12,30,1,6,1,8,1,9,2,8,1,9,1,8,1,9,2,8,1,17,1,9,3,13,1,9,1,13,3,8,2,9,1,13,4,9,1,13,4,8,1,7,1,13,9,8,1,9,1,13,1,9,6,11,1,13,1,9,1,13,2,11,1,9,2,13,1,9,1,13,3,30,1,28,120,30,1,28,33,13,1,17,1,11,1,28,3,9,1,13,1,28,17,6,1,12,1,17,1,12,1,17,1,12,1,9,2,7,1,13,1,6,1,30,1,6,1,30,1,13,1,30,1,6,1,28,1,29,1,28,1,30,1,13,1,8,1,6,1,8,2,24,2,12,1,8,1,28,7,24,1,14,1,24,1,8,1,28,36,13,1,9,1,13,1,30,1,28,3,6,1,24,1,9,1,6,1,29,1,30,2,6,1,28,1,6,1,8,3,24,1,8,1,6,1,28,6,13,3,29,1,28,4,29,1,30,1,6,1,13,1,10,1,9,1,15,1,8,1,15,1,9,2,8,3,13,1,30,1,13,1,6,1,29,1,8,1,9,1,12,1,15,1,9,1,15,1,9,1,12,1,14,1,10,1,9,3,11,1,17,1,16,1,17,3,12,2,9,2,17,2,12,1,11,1,10,1,17,1,8,1,9,1,10,1,16,1,9,1,17,2,9,1,11,1,9,3,10,2,9,1,11,1,24,1,12,3,9,1,11,1,9,1,10,1,}, {17,1,10,1,17,41,11,1,8,1,30,1,13,1,30,1,29,2,12,1,15,1,24,1,15,1,8,1,28,5,29,1,9,1,17,1,8,2,7,1,6,2,30,1,6,1,30,1,28,5,6,1,8,1,9,1,6,1,28,39,30,1,28,5,30,1,29,1,7,1,13,1,9,2,10,1,6,1,28,2,6,1,9,1,11,1,12,1,13,1,8,2,7,1,13,2,9,1,30,1,6,2,30,1,28,6,30,1,6,1,13,1,9,1,8,1,13,1,6,1,28,4,13,1,17,2,12,2,16,1,10,1,24,1,10,1,24,1,10,1,13,1,8,1,12,1,9,1,10,1,14,1,9,1,13,1,6,1,7,1,13,1,7,1,6,1,28,36,29,1,13,1,6,1,10,1,17,2,14,1,8,1,7,1,6,1,28,1,13,1,12,1,11,1,10,1,13,1,9,2,24,1,8,2,13,2,29,1,6,1,13,4,6,1,30,1,29,1,6,2,8,1,24,1,10,1,17,1,11,1,10,1,17,2,9,1,28,15,7,1,30,1,6,1,28,2,29,1,30,2,29,1,30,1,6,3,28,1,6,1,28,2,6,1,28,1,30,1,6,1,28,3,6,1,30,1,28,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,6,1,29,1,28,1,6,1,28,2,6,2,28,2,6,1,28,1,6,1,28,1,30,1,29,1,6,1,29,1,13,1,28,1,30,2,29,1,13,1,6,2,30,1,28,1,6,1,7,1,28,1,6,2,30,1,13,2,7,1,6,1,28,1,6,1,28,1,6,1,29,1,6,3,29,1,6,1,7,1,28,1,29,1,6,1,29,1,7,1,6,1,28,1,30,1,13,1,29,1,6,1,13,1,8,1,13,2,30,1,13,1,9,1,6,1,13,1,6,1,28,1,8,1,30,1,28,2,13,1,7,1,6,1,30,1,7,1,30,1,8,1,6,1,13,1,30,1,6,1,13,1,30,1,7,1,6,1,29,1,30,1,13,1,6,1,13,1,6,3,7,1,6,1,13,2,8,1,6,1,13,3,8,1,13,1,8,1,13,2,8,1,9,1,8,1,10,1,12,1,8,1,13,1,28,1,30,1,28,2,6,5,13,5,9,1,7,2,13,1,9,1,7,1,9,1,8,1,7,3,13,3,9,1,8,2,7,1,29,1,9,1,13,1,8,1,24,1,8,2,9,1,11,3,9,1,10,1,9,1,6,1,13,2,8,1,17,2,16,1,17,1,16,5,11,1,16,1,11,2,9,1,11,2,16,1,9,3,11,3,9,2,16,1,11,3,9,1,11,3,17,1,16,2,11,1,16,2,11,1,16,1,11,1,9,1,11,1,9,6,17,1,13,1,11,1,16,1,11,4,9,1,11,3,16,1,11,1,17,1,11,1,9,1,16,1,11,2,10,1,11,1,16,1,11,1,9,1,16,2,11,2,17,2,16,1,11,2,17,5,16,1,17,4,16,1,17,3,10,1,13,1,10,1,8,1,7,1,6,1,30,1,7,1,30,1,6,1,13,1,9,1,17,3,12,1,10,1,9,1,16,1,8,1,9,1,24,1,12,1,8,1,9,1,24,1,7,1,8,1,13,2,24,1,7,2,29,1,6,2,28,3,29,1,28,1,29,1,28,1,30,1,28,9,6,1,28,2,29,1,28,1,6,1,28,1,7,1,6,1,7,1,13,1,6,1,7,1,29,1,6,2,13,1,7,1,30,2,6,2,13,1,6,1,30,1,7,1,13,2,7,1,8,1,9,1,13,3,7,1,13,1,8,3,11,1,9,2,16,1,11,1,9,1,11,1,10,1,9,1,11,1,10,2,9,2,11,1,13,1,11,1,13,1,9,2,10,1,9,2,8,1,9,2,8,1,16,1,9,1,11,1,9,3,11,1,8,2,13,1,11,1,13,1,9,1,11,1,9,7,10,1,9,2,11,2,9,1,11,1,9,11,8,1,9,1,8,1,9,10,11,1,10,1,9,3,10,1,9,1,13,1,9,2,10,1,11,1,9,1,11,1,8,1,17,1,13,1,9,3,11,3,16,1,9,1,11,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,11,1,16,4,11,1,9,1,11,1,16,2,11,3,16,1,11,3,17,1,16,1,17,5,16,1,17,1,16,1,17,1,11,1,16,1,9,1,13,1,9,2,11,1,9,1,10,1,17,1,16,1,11,1,9,1,11,1,17,2,16,1,9,1,11,3,10,1,8,1,12,1,11,1,9,2,8,1,13,3,7,1,13,1,7,1,6,1,11,1,9,3,10,1,16,1,8,1,16,1,8,3,11,1,8,1,16,1,10,1,17,1,9,1,17,1,9,1,17,1,8,1,9,1,11,1,12,1,16,1,13,1,11,1,9,2,16,1,10,1,9,1,10,1,8,1,9,2,8,1,10,2,9,1,13,1,16,1,8,1,11,2,17,4,16,1,17,10,16,1,17,1,9,1,16,2,11,1,16,2,11,1,17,1,11,1,10,1,17,1,11,2,16,1,11,1,16,2,11,1,16,2,17,1,16,1,17,2,16,1,10,1,11,1,12,1,11,1,17,1,11,1,12,1,17,1,8,2,24,1,13,1,24,1,8,1,6,2,7,1,28,8,30,1,13,1,9,1,16,1,9,1,10,1,16,2,17,1,16,1,17,1,16,1,9,1,11,1,9,1,17,2,16,1,9,3,13,1,11,1,9,1,11,2,12,1,16,1,11,1,17,1,9,1,11,2,9,1,16,1,11,1,9,1,12,1,10,3,11,2,9,1,8,1,11,1,9,1,11,1,13,1,9,2,13,1,9,2,11,1,17,1,11,1,17,1,12,1,24,1,11,1,12,1,17,2,11,1,28,6,6,1,28,4,30,1,28,1,30,1,28,1,6,1,13,2,9,2,13,2,9,3,11,1,13,3,9,1,13,1,9,1,11,1,16,4,13,1,30,1,6,1,30,1,29,1,30,1,6,1,30,3,6,1,30,2,28,2,30,1,28,1,30,2,28,1,30,4,28,1,6,1,28,2,30,1,28,1,30,1,6,2,30,1,6,3,30,4,13,1,30,2,6,1,30,2,29,1,13,1,6,1,28,1,30,5,28,1,30,2,6,1,30,3,6,1,28,1,6,1,28,1,6,1,30,1,6,1,28,1,6,1,30,8,28,2,6,1,30,1,28,1,6,2,30,1,6,1,30,1,29,1,30,1,6,1,28,1,6,1,29,2,6,1,30,1,28,1,6,5,30,1,6,3,30,1,6,3,30,3,29,1,30,1,6,1,30,1,6,2,29,1,30,1,6,3,30,3,6,3,7,1,13,1,30,2,28,1,30,2,28,1,6,1,28,1,6,1,28,1,30,3,29,2,30,1,28,1,29,1,30,1,29,1,28,1,30,2,6,2,29,1,30,1,6,1,30,1,6,2,30,1,6,1,29,1,13,1,6,1,30,1,6,1,30,1,6,2,29,1,30,5,6,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,30,7,29,1,30,2,6,1,30,1,29,1,6,1,30,1,6,1,28,2,30,1,6,1,30,3,6,1,30,8,28,1,30,4,6,1,30,3,6,1,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,1,30,2,6,3,30,1,6,1,30,1,6,4,13,1,7,1,13,1,6,1,13,1,6,1,13,2,6,2,13,1,6,1,7,1,13,1,6,1,7,1,6,2,7,1,13,1,6,5,13,1,6,4,7,1,6,3,29,1,13,1,6,1,13,4,30,1,13,2,6,1,13,2,6,1,13,2,6,2,13,1,6,2,13,2,6,1,13,1,6,2,7,1,13,1,6,3,30,1,6,1,30,1,6,1,30,2,6,1,13,2,17,1,28,1,13,1,11,1,6,1,28,6,6,2,13,1,9,1,13,2,8,1,13,1,8,2,10,2,9,2,8,1,10,1,24,2,9,1,12,1,10,1,6,1,28,29,29,1,13,1,24,1,7,1,13,1,7,1,28,6,6,1,7,1,24,1,13,3,7,2,6,1,7,1,8,1,7,1,24,1,12,2,17,1,13,1,28,29,7,2,29,1,30,1,28,23,6,1,29,1,30,1,29,1,6,3,25,1,26,1,25,1,24,1,8,1,25,1,7,1,6,1,28,1,30,1,29,1,28,1,29,1,6,1,30,1,28,3,30,1,6,3,8,1,29,1,13,1,7,2,6,2,7,1,25,1,8,1,25,1,7,4,29,1,7,1,28,1,6,1,25,1,29,1,30,2,7,2,6,1,7,2,29,1,6,2,13,1,30,1,25,1,6,1,13,4,8,1,13,1,8,3,7,2,24,1,8,1,7,1,6,1,26,2,8,1,6,1,8,1,6,1,13,1,8,2,7,1,29,1,13,1,6,1,29,1,7,1,8,1,7,1,29,1,7,1,25,1,6,2,28,1,25,1,7,2,8,1,24,1,13,1,8,1,24,3,13,1,24,5,8,1,24,1,7,1,8,1,25,1,24,1,8,1,10,1,13,1,12,1,13,1,8,1,6,1,13,1,7,1,8,3,13,3,6,1,7,1,29,1,30,1,29,1,13,1,30,1,6,1,30,1,8,1,6,1,8,1,6,2,29,1,6,2,25,2,7,2,8,2,7,1,8,2,7,1,8,2,13,1,8,1,13,1,8,1,24,1,13,1,9,1,13,1,10,1,24,1,12,1,8,2,17,1,9,1,24,1,12,2,10,1,17,1,12,1,9,1,24,1,10,1,12,1,8,2,24,1,6,1,8,1,7,1,8,1,29,1,6,1,7,1,6,2,28,1,25,1,6,4,25,1,7,1,29,1,7,1,28,1,6,1,29,1,30,1,28,1,25,1,6,1,29,2,24,1,7,1,8,1,13,1,24,1,8,1,24,1,8,2,29,1,28,9,30,1,28,2,30,1,28,1,29,1,7,1,28,1,30,1,6,2,30,1,8,1,28,1,29,2,7,1,6,1,7,2,6,1,13,1,29,1,6,1,29,1,30,1,28,1,30,1,28,3,6,1,28,1,30,1,6,1,28,1,30,1,29,1,28,1,29,1,28,2,29,1,30,1,29,1,26,1,27,1,29,1,7,1,25,1,29,1,25,1,6,1,7,1,25,1,8,1,6,1,25,1,8,1,29,1,6,1,24,1,6,1,29,1,13,1,24,3,10,1,7,1,24,1,8,1,13,2,6,1,13,1,7,2,6,1,8,1,7,1,8,1,9,1,13,2,8,1,13,1,9,1,11,1,17,2,11,1,10,1,24,1,9,1,12,1,17,1,11,1,17,14,11,1,17,1,9,1,28,4,30,1,28,36,7,2,13,2,6,1,29,1,7,1,13,1,28,7,6,1,8,3,13,2,9,1,8,2,9,1,13,1,8,1,9,1,11,1,13,3,10,3,8,1,13,1,9,4,8,1,13,1,9,2,8,1,13,1,8,1,7,1,13,7,28,1,7,1,13,2,9,1,13,2,9,1,8,1,13,3,9,2,13,1,9,1,11,2,9,1,11,1,9,1,8,1,9,1,8,1,13,1,8,1,13,3,6,2,28,155,6,1,30,1,13,1,28,3,7,1,9,1,30,1,28,1,7,1,30,1,28,2,6,1,30,1,28,9,29,1,14,1,17,3,10,1,9,1,8,1,13,1,6,2,13,1,6,1,28,1,6,2,28,1,29,1,30,3,7,1,13,1,8,1,24,1,8,1,24,3,13,1,28,7,8,1,12,1,9,1,6,1,28,36,13,1,8,1,6,1,29,1,30,1,28,2,24,3,29,1,6,1,29,1,28,3,30,1,13,1,8,2,24,1,8,1,6,1,28,6,30,1,9,1,13,1,28,4,29,1,6,1,13,1,24,1,8,2,24,1,8,1,9,1,24,2,10,2,13,1,8,1,13,1,6,1,13,1,6,1,13,3,9,1,10,1,11,1,24,1,9,1,12,1,11,1,17,1,12,2,8,1,16,2,17,5,9,1,12,2,17,1,12,1,10,1,12,1,9,6,17,1,11,1,17,1,12,1,8,1,9,1,24,1,10,1,9,1,24,1,9,1,8,1,9,1,24,1,9,1,15,1,8,1,11,1,8,2,}, {17,26,16,1,17,16,9,1,8,2,30,2,29,1,6,1,8,1,10,1,24,1,10,1,13,1,28,5,6,1,24,1,9,1,24,2,7,1,6,1,29,1,30,1,6,1,30,1,28,5,30,1,8,1,24,1,13,1,30,1,28,43,30,1,29,1,6,3,10,2,15,1,30,1,29,1,28,1,6,1,9,1,12,1,10,1,24,1,7,1,13,1,24,1,8,1,6,1,13,1,6,1,24,1,7,1,29,1,28,1,30,1,28,4,30,1,6,2,12,1,13,1,29,1,28,5,13,1,12,1,17,1,11,2,9,2,10,1,12,1,8,1,17,1,24,1,9,3,15,1,14,1,8,2,7,1,13,1,7,1,13,1,28,37,29,1,7,1,6,1,17,3,9,1,13,1,30,1,6,1,30,1,8,1,24,1,17,1,12,1,9,1,8,1,24,1,8,1,24,1,13,1,8,1,7,2,13,1,8,2,24,1,8,1,30,1,13,2,6,1,13,2,10,1,9,1,10,1,24,1,12,2,17,1,11,1,28,15,29,2,6,1,30,3,28,2,6,1,28,4,30,1,28,1,30,4,28,2,6,1,30,1,28,1,29,1,30,4,6,1,28,2,6,1,30,1,28,2,30,2,6,1,30,1,28,1,30,1,28,1,6,1,28,1,13,1,28,1,30,1,7,1,28,3,30,2,6,1,28,1,6,1,13,1,6,1,28,1,29,1,30,1,28,1,30,1,6,2,30,2,6,1,29,1,6,1,7,1,29,1,30,1,6,3,28,1,29,2,6,2,30,1,28,1,30,1,29,1,13,1,30,1,6,1,30,1,29,2,30,1,6,2,30,1,6,3,28,1,13,1,29,1,6,1,29,1,30,2,7,1,13,1,30,1,24,1,13,1,7,1,30,2,6,2,13,2,28,1,13,1,6,1,13,2,29,1,13,1,7,1,13,2,29,2,6,1,30,1,6,1,13,2,7,1,13,2,29,1,13,1,30,1,28,1,6,1,30,1,29,1,13,2,7,1,8,2,6,1,9,1,6,1,13,1,8,1,29,1,9,2,13,1,16,1,11,2,6,1,30,1,29,1,30,2,6,3,29,2,28,1,6,1,13,4,7,1,13,1,8,1,13,2,8,1,13,2,24,1,9,1,13,1,8,2,13,1,9,1,8,1,6,1,8,1,9,1,6,1,10,1,13,2,9,2,11,1,9,5,30,1,7,1,13,1,9,1,16,1,11,1,16,2,17,2,16,1,11,5,9,1,11,4,9,1,11,1,9,1,11,4,9,1,11,1,10,1,17,1,10,1,11,3,16,1,11,1,17,2,10,1,11,2,9,4,10,1,9,8,16,1,11,3,16,1,9,1,10,1,9,2,11,1,16,2,9,1,11,1,9,1,11,1,16,2,9,3,16,1,11,1,17,1,11,2,16,4,11,2,17,13,11,1,12,2,11,1,9,2,8,1,30,1,6,2,29,1,7,1,29,1,17,3,12,1,17,1,9,1,12,1,11,2,9,1,12,1,7,1,9,1,8,1,13,1,24,1,13,1,9,1,13,1,6,1,7,1,6,1,7,1,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,2,30,1,28,3,29,1,28,2,30,1,28,1,6,1,8,1,29,1,6,1,13,1,6,1,28,1,7,1,29,1,6,1,30,1,6,1,7,1,6,1,29,2,6,1,7,1,29,1,13,1,29,1,13,1,6,1,7,1,8,1,7,1,6,1,7,1,8,1,9,1,8,1,13,1,7,1,8,1,9,1,11,1,16,1,11,1,9,2,11,1,9,2,11,1,9,2,11,2,9,2,8,1,9,1,13,1,9,3,11,1,9,3,16,1,9,1,8,1,9,1,8,1,13,1,8,1,11,1,9,2,8,1,11,1,13,1,9,1,8,1,11,1,13,1,9,1,8,1,9,1,13,1,9,2,10,3,16,1,9,1,11,1,8,1,9,2,11,1,9,2,10,1,9,1,13,1,10,1,9,2,8,1,11,1,9,6,13,1,9,2,11,1,9,4,11,1,9,2,11,1,9,1,10,1,11,2,10,1,9,3,11,1,9,1,11,1,9,3,16,1,9,3,11,1,9,1,16,1,11,1,9,1,11,1,16,2,11,1,16,1,11,2,16,1,11,2,16,1,17,13,11,1,16,1,17,3,11,1,17,1,11,1,9,3,16,1,12,1,11,2,9,1,17,1,13,1,9,3,17,1,16,1,10,1,17,1,9,1,11,2,16,1,17,1,11,1,8,1,9,3,13,2,9,1,29,1,13,1,8,1,13,1,9,1,10,1,9,1,17,1,10,1,13,2,9,4,8,1,9,1,8,1,11,1,9,3,10,1,9,1,8,2,9,1,8,1,9,1,11,1,9,1,11,2,12,1,9,1,8,1,9,1,10,1,9,1,11,1,9,1,17,1,10,1,16,1,9,2,11,1,17,1,11,1,16,1,17,3,11,1,17,9,16,1,17,1,11,3,17,1,16,1,11,1,9,1,17,2,16,1,8,1,17,1,9,1,11,1,17,1,16,2,11,2,17,1,9,1,17,2,16,1,9,1,10,2,17,1,9,2,17,1,9,1,24,1,8,1,10,1,8,1,24,2,7,2,13,1,6,2,28,8,30,1,8,1,9,1,8,1,11,3,16,1,11,1,16,2,17,1,9,3,11,1,16,1,17,2,11,1,9,1,16,1,9,2,16,1,9,1,10,1,17,1,16,1,17,2,9,2,13,1,11,1,9,1,10,1,11,4,9,2,11,1,9,2,8,1,9,3,13,1,8,2,13,1,8,1,9,1,17,2,10,1,9,1,8,1,12,1,17,3,30,1,28,15,30,1,13,5,16,1,11,2,9,1,13,3,11,1,13,1,9,1,16,1,11,1,16,1,17,1,9,2,6,1,30,1,29,1,6,1,30,6,28,1,30,4,28,2,30,1,28,1,30,1,28,5,6,1,30,1,6,1,28,1,6,2,30,1,6,1,30,1,6,2,30,1,6,1,28,1,30,3,6,1,30,2,7,1,13,1,30,1,28,1,30,5,29,3,28,1,29,1,30,1,29,1,30,2,28,1,30,2,29,1,28,1,30,1,6,2,30,1,28,1,30,1,28,1,30,2,28,1,6,3,30,1,6,1,30,1,29,1,6,2,30,1,6,2,30,1,13,1,6,2,30,1,6,2,13,1,6,1,30,1,6,3,30,2,6,1,13,1,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,2,28,1,6,1,30,1,6,2,30,1,6,1,28,2,6,1,30,3,6,1,30,1,8,1,6,1,30,3,6,1,30,1,6,1,28,1,30,2,28,1,6,1,30,4,29,2,30,2,29,1,6,1,30,1,6,1,30,2,6,4,30,4,28,1,6,2,30,2,7,1,30,1,6,1,30,7,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,2,28,1,29,1,6,3,30,3,6,1,28,1,30,3,6,1,29,1,28,3,30,1,6,1,28,3,30,5,6,1,30,1,6,2,28,1,30,1,28,1,30,4,13,1,28,1,6,1,30,1,6,2,28,1,30,1,28,1,30,3,6,3,30,2,6,1,13,2,30,1,6,3,30,1,6,1,30,1,13,1,29,1,6,2,30,1,6,2,29,1,6,7,30,2,6,1,30,1,6,7,13,1,6,1,13,6,6,1,13,2,29,1,6,1,30,2,6,1,13,2,6,1,7,1,13,1,6,5,13,1,29,1,6,4,30,1,29,1,6,1,30,1,29,1,30,1,6,1,7,1,9,1,13,1,29,1,13,1,11,1,8,1,28,5,30,1,6,1,13,2,24,3,13,2,8,2,9,1,10,1,11,1,9,4,24,1,11,1,12,1,10,1,30,1,28,28,30,1,6,1,13,2,6,1,30,1,28,7,30,2,13,1,7,2,13,1,6,1,7,2,13,1,10,1,24,1,12,1,10,1,24,1,28,31,7,1,30,1,6,1,28,22,30,4,29,2,30,1,6,1,27,2,6,1,8,1,7,2,6,1,28,3,6,1,28,2,30,1,28,3,30,1,28,3,30,1,29,1,30,1,7,1,6,1,29,1,6,1,7,1,6,2,30,1,27,1,28,1,29,1,28,1,30,1,28,1,29,1,30,3,29,2,6,1,28,1,30,1,29,1,6,2,28,1,29,1,28,2,29,3,25,1,7,1,13,1,8,1,29,1,25,1,7,3,25,1,6,1,29,1,6,1,26,1,25,2,29,3,8,1,7,1,30,1,7,1,8,1,7,1,6,2,25,3,29,1,8,2,6,1,25,1,29,1,6,2,25,1,8,2,24,1,7,1,13,1,8,2,24,1,17,1,24,3,7,1,10,2,25,1,12,1,24,4,25,1,8,1,24,1,12,1,24,2,8,1,10,1,13,1,24,2,29,1,24,1,13,1,7,2,13,1,8,1,6,2,7,1,6,1,29,1,13,2,7,2,25,1,13,1,7,1,29,1,25,2,8,1,30,1,26,1,25,1,13,3,6,1,13,2,8,1,6,1,7,1,8,1,13,3,12,1,9,1,24,1,8,1,12,1,10,1,9,1,12,5,17,1,10,1,17,1,10,1,17,2,10,1,12,1,10,1,24,1,8,1,7,1,13,1,6,2,29,1,7,1,29,1,25,1,6,1,29,1,6,1,28,1,29,3,30,1,29,2,30,1,29,1,30,1,6,1,30,1,28,1,7,1,6,2,7,1,8,1,7,1,8,1,13,1,24,1,10,1,24,1,29,1,28,13,30,1,28,2,25,1,6,1,30,1,25,1,6,2,29,1,25,1,6,1,30,1,29,1,28,1,7,1,29,1,8,1,6,1,30,1,29,1,28,1,29,1,30,2,6,1,30,1,29,1,28,2,6,1,29,1,6,1,29,1,28,2,29,1,30,1,29,2,30,1,26,1,29,2,25,1,7,1,25,2,8,1,6,1,24,1,7,1,6,1,8,1,24,1,25,2,8,1,6,1,25,1,13,1,8,1,10,1,24,1,12,1,24,1,7,1,8,2,24,1,8,3,7,1,24,1,6,1,7,1,8,2,28,1,13,1,9,1,13,3,11,1,17,2,9,1,8,1,13,1,11,1,12,2,17,2,11,2,17,1,12,2,17,8,12,1,17,1,6,1,28,41,7,1,13,2,30,1,6,1,13,1,6,1,28,7,9,5,13,2,8,2,13,1,6,1,13,1,30,1,28,2,13,2,8,1,10,1,11,2,9,1,8,1,9,5,8,1,10,1,13,1,9,1,8,2,13,1,6,1,13,1,6,1,13,3,6,1,13,5,8,1,9,1,13,1,9,1,13,2,9,1,10,1,9,2,11,2,9,3,13,1,9,1,6,1,10,1,9,1,13,1,8,1,13,1,28,1,13,1,6,1,28,1,30,1,28,101,30,1,28,54,30,1,28,6,6,1,13,1,6,1,28,2,29,1,28,8,30,1,6,1,17,2,12,1,17,2,10,1,8,1,13,1,24,1,8,1,29,1,6,1,30,1,28,4,6,2,7,1,6,1,13,1,24,1,8,1,24,2,8,1,12,1,7,1,28,7,9,1,12,1,24,1,6,1,28,36,7,1,14,1,8,1,28,4,24,1,9,1,8,1,13,1,6,1,28,1,30,1,28,1,30,1,28,1,6,2,10,1,8,1,9,1,13,1,28,6,7,1,10,1,7,1,28,5,6,1,24,1,8,1,13,1,8,3,24,1,8,1,6,1,10,1,24,1,9,1,24,1,8,1,13,1,6,1,13,1,29,1,13,1,8,2,24,1,10,1,14,1,8,1,15,1,12,1,16,1,12,1,16,1,9,1,17,1,12,1,16,1,17,2,16,1,17,1,9,1,17,2,10,1,17,1,9,1,10,1,12,1,11,1,10,1,9,2,10,1,17,2,11,1,9,1,8,1,9,1,8,3,9,1,24,1,13,2,8,1,9,1,11,1,10,1,11,1,10,1,9,1,}, {17,43,13,1,9,1,30,1,6,1,30,1,29,1,30,1,8,2,24,1,9,1,6,1,30,1,28,4,6,1,8,1,24,1,8,1,7,1,13,1,7,1,6,1,7,1,6,1,28,6,29,1,8,1,15,1,29,1,28,46,29,1,6,1,8,1,24,1,12,1,9,1,6,1,29,1,28,1,7,1,8,1,14,1,13,1,9,1,6,1,7,1,8,1,6,3,29,2,13,1,6,2,28,1,30,1,28,3,30,1,6,1,29,1,24,2,6,1,30,1,28,3,30,1,24,2,17,1,9,1,11,1,10,2,15,1,9,1,12,1,9,5,15,1,14,1,15,1,6,2,13,1,6,2,29,1,28,37,29,1,7,1,9,1,17,2,30,1,28,3,29,2,14,1,12,1,9,1,10,1,8,1,24,1,8,1,24,1,8,1,7,1,6,2,13,1,7,1,8,1,13,2,6,1,29,1,13,1,30,2,6,1,24,1,12,1,10,1,17,5,28,15,30,1,6,1,28,1,30,1,7,1,28,2,30,3,6,1,29,1,28,1,30,1,6,1,28,3,13,1,6,2,28,2,30,2,28,1,6,1,28,1,29,1,6,1,28,1,6,1,28,8,29,1,7,1,28,1,30,2,29,1,30,2,28,1,30,1,28,1,6,1,28,1,7,1,29,1,6,1,28,1,30,1,6,1,28,1,29,1,6,1,29,1,7,1,6,3,29,1,13,1,28,1,30,1,6,3,30,1,6,2,7,1,13,1,30,1,13,1,30,1,6,3,30,1,29,1,28,1,6,1,30,1,29,1,28,1,6,1,29,1,6,1,7,1,6,1,28,1,13,1,28,1,6,1,7,1,29,2,6,1,29,1,6,1,13,1,8,1,28,1,30,1,7,1,30,1,13,1,30,1,13,1,6,2,13,2,6,1,29,1,8,1,28,1,7,1,13,1,28,1,6,3,13,1,6,1,29,1,7,1,13,4,7,2,13,1,7,1,13,2,7,1,6,1,13,4,9,1,13,1,8,1,9,1,13,2,8,1,13,1,11,2,9,1,8,1,13,1,6,1,13,1,29,1,6,3,29,1,6,1,13,1,6,1,13,1,30,1,8,1,6,1,8,1,7,1,8,1,29,1,8,1,9,1,13,6,9,1,13,2,7,2,8,1,6,1,9,1,13,1,24,1,6,1,12,1,10,1,12,1,11,2,12,1,9,3,13,1,8,1,13,1,8,1,17,1,16,2,17,2,16,1,11,1,16,5,11,3,9,2,10,1,11,1,16,1,10,1,11,2,16,1,9,2,11,3,16,2,11,1,17,2,11,1,16,1,9,1,11,1,8,1,11,3,10,2,11,1,10,1,8,1,9,1,11,2,10,1,9,1,11,3,9,1,11,1,9,1,16,1,11,1,10,1,11,1,16,1,9,2,16,1,9,1,16,1,11,1,10,1,11,2,17,2,16,1,17,3,16,1,11,1,16,2,11,1,16,1,17,9,11,1,17,4,12,1,16,2,9,1,8,2,6,1,28,1,6,1,30,1,29,1,13,1,17,2,10,1,17,1,11,1,17,1,10,1,9,3,10,1,8,1,13,1,9,1,8,1,7,1,13,2,8,1,13,1,6,3,28,1,6,1,30,1,28,8,29,1,28,2,30,1,6,1,29,1,28,1,29,5,28,1,6,1,7,2,29,3,30,1,7,1,30,2,28,1,13,1,28,1,13,1,6,2,13,1,7,1,8,1,30,1,24,1,7,1,6,1,13,1,24,1,13,1,6,1,24,1,8,1,13,2,9,1,13,1,9,1,17,1,11,1,16,1,9,1,11,1,9,1,11,1,9,2,16,1,8,1,10,1,9,5,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,9,2,10,1,13,4,9,2,13,1,10,1,8,1,11,1,13,2,8,1,9,5,11,1,16,1,9,1,17,1,11,2,9,3,11,1,9,1,11,1,9,8,10,1,8,1,9,1,11,1,9,1,8,1,9,1,11,1,9,1,13,1,9,1,11,1,9,2,11,2,9,1,10,1,11,1,9,2,11,4,8,1,10,1,9,1,11,2,9,1,11,2,9,1,16,1,11,1,16,2,11,3,16,1,11,3,16,1,9,1,16,1,17,1,11,1,9,1,16,1,17,14,16,1,17,2,16,1,17,2,16,1,17,2,13,1,11,1,17,1,11,2,17,2,9,2,11,1,10,1,9,2,11,1,8,1,11,1,12,1,9,1,10,1,17,1,10,1,13,1,6,1,11,2,16,1,13,1,10,1,13,1,6,1,13,1,8,1,10,1,9,2,10,1,11,1,16,1,11,1,16,1,8,1,10,1,9,1,13,1,9,1,11,2,8,1,9,2,10,1,9,3,17,1,8,1,9,2,11,1,9,1,13,1,11,2,10,1,8,1,11,2,8,1,9,1,8,1,10,1,9,1,11,1,9,2,16,2,11,1,17,3,11,1,9,1,11,1,17,10,16,1,11,2,10,1,9,1,11,2,17,1,16,1,11,1,16,1,11,1,13,1,11,1,16,1,9,1,10,1,9,1,17,1,16,1,17,1,9,1,17,2,12,1,11,1,12,1,11,1,9,1,8,1,9,1,12,1,9,1,11,1,10,1,8,1,12,1,24,1,8,1,30,1,6,1,29,1,6,1,28,1,30,1,28,6,30,1,8,1,9,1,12,1,9,1,11,3,13,1,16,2,17,1,10,1,9,2,13,1,16,1,17,1,11,1,17,1,11,3,17,1,9,1,10,1,11,2,17,2,11,1,8,1,17,1,8,1,9,2,11,1,8,1,9,5,8,1,9,3,10,1,9,2,13,1,9,1,8,2,11,1,9,1,12,1,11,1,9,1,10,1,8,1,24,1,12,1,17,2,16,1,28,15,30,2,13,2,9,1,11,1,16,1,11,2,9,2,13,2,6,1,9,4,16,2,9,1,13,2,30,1,6,1,30,3,6,1,30,8,28,1,30,3,28,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,28,1,6,2,29,1,6,2,29,2,6,1,30,4,28,2,30,1,6,2,29,1,30,2,28,1,30,4,6,1,28,1,30,4,29,1,30,1,6,3,30,2,28,1,30,1,6,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,4,30,1,6,1,30,1,6,2,13,1,6,1,30,1,6,1,30,1,6,3,30,1,6,1,30,1,13,1,6,3,30,2,6,1,7,1,6,1,30,1,6,1,30,5,6,1,28,1,6,1,30,1,29,1,30,1,6,1,28,1,13,1,30,4,6,6,29,1,28,1,6,1,29,1,6,1,28,1,30,2,28,1,30,1,28,1,30,6,6,2,30,1,6,2,30,1,29,1,6,4,13,1,6,8,30,2,6,2,30,4,28,1,29,1,30,1,28,1,30,1,6,1,28,2,30,3,6,2,30,4,28,1,30,4,6,1,30,1,6,1,30,1,29,1,30,3,28,3,30,1,28,1,30,2,6,1,28,1,29,1,30,1,6,1,30,1,6,2,29,1,28,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,28,1,6,1,13,1,6,2,30,5,29,1,30,4,6,2,29,1,6,1,30,1,6,1,13,1,7,1,6,1,28,2,6,1,28,1,6,1,13,1,6,3,29,1,13,2,29,1,13,1,6,2,30,1,13,1,6,3,30,1,6,2,30,1,6,3,13,5,9,1,7,1,6,2,13,1,30,1,13,2,30,1,6,1,13,1,6,1,13,1,6,1,30,1,6,2,13,1,6,1,7,2,6,3,7,1,13,1,30,1,7,1,6,2,30,1,6,2,30,2,6,1,13,3,30,2,6,1,11,1,8,1,28,6,30,2,29,1,7,1,8,1,13,1,29,1,6,1,13,2,8,2,9,2,8,1,9,1,24,1,17,1,12,1,9,1,8,1,28,28,30,4,28,5,30,1,6,1,30,1,7,1,13,1,24,1,8,1,6,1,13,2,29,1,13,3,24,1,9,2,17,1,28,32,7,1,29,1,28,28,29,1,30,1,29,1,28,1,7,1,29,1,25,1,29,2,28,4,30,1,28,3,30,1,28,7,30,1,28,1,29,3,28,2,30,2,28,1,29,1,30,2,28,1,30,2,28,1,30,1,28,2,6,1,30,1,6,2,30,3,24,1,28,1,6,1,30,1,7,2,28,1,29,1,7,1,6,1,25,1,6,1,25,2,6,2,8,1,29,1,25,1,6,1,25,1,30,1,29,1,7,1,30,1,7,1,25,1,30,1,7,1,29,1,6,2,13,1,6,2,29,1,13,1,24,1,29,1,6,1,26,1,25,3,26,1,25,1,30,1,6,1,29,1,25,1,13,1,6,1,24,2,13,1,7,1,13,1,25,1,12,1,10,1,25,1,24,2,12,1,25,1,10,1,7,1,8,1,24,1,8,1,24,2,12,1,13,1,8,2,7,2,13,1,6,1,29,1,13,1,6,1,7,2,24,1,8,1,24,1,7,2,28,1,13,1,6,1,8,1,29,2,6,2,8,1,29,1,25,1,27,1,24,1,30,1,6,1,7,2,6,1,7,1,6,1,13,2,24,1,7,1,24,2,8,1,13,1,12,1,10,1,24,1,10,2,24,1,12,1,10,1,12,1,6,1,17,2,12,2,10,1,11,1,17,1,9,1,24,3,10,1,24,1,8,1,7,1,25,1,7,1,6,1,30,1,29,1,7,1,29,1,7,1,6,1,25,1,29,1,7,1,25,2,7,1,6,1,7,2,6,2,29,1,30,2,7,1,6,2,13,2,24,2,8,1,13,1,24,1,13,1,30,1,28,13,30,1,28,1,6,1,7,1,29,2,7,2,6,1,8,1,7,1,8,1,7,1,30,1,6,1,8,1,13,2,6,1,13,1,6,1,28,2,29,1,6,1,28,1,30,1,7,1,30,1,29,1,28,1,25,1,6,1,27,1,28,2,30,1,28,1,29,1,6,2,29,1,6,2,8,2,25,1,29,1,25,1,6,1,25,2,8,4,24,1,8,1,24,3,8,2,7,1,13,1,24,2,8,1,24,2,8,3,24,1,8,1,6,1,7,1,13,1,6,1,13,2,9,1,8,2,9,1,10,1,9,1,13,1,9,2,8,1,12,1,17,2,11,1,17,1,12,3,11,1,17,10,6,1,28,40,7,1,9,1,13,1,7,1,13,2,30,1,28,7,30,1,8,3,13,2,7,1,29,1,30,1,28,8,13,1,9,1,10,1,17,1,11,1,9,1,8,1,10,1,8,1,9,1,13,2,9,1,8,3,13,4,7,1,13,6,6,1,8,1,9,2,7,1,13,1,8,1,9,1,13,1,8,2,13,1,10,1,9,1,11,1,8,1,16,1,9,2,13,1,9,1,13,2,8,1,13,1,11,1,13,1,28,1,30,1,6,1,28,1,30,1,6,1,30,1,28,96,30,1,28,8,30,1,28,3,30,1,28,66,9,1,15,1,17,1,12,1,17,2,9,1,8,2,24,1,8,2,7,1,28,1,13,1,30,1,7,1,30,1,6,2,13,1,6,1,8,2,15,1,9,1,24,1,8,1,12,1,7,1,28,6,30,1,9,1,24,2,7,1,28,36,13,1,12,1,8,1,28,3,6,1,24,2,8,2,6,1,28,1,30,1,28,3,30,1,6,1,9,2,24,1,13,1,28,6,13,1,9,1,7,1,28,5,29,1,6,1,13,2,24,2,8,1,24,2,13,1,8,2,15,1,12,1,13,1,6,2,28,1,6,1,7,1,6,1,7,1,24,1,13,1,15,1,12,1,9,2,12,1,16,1,11,1,17,4,11,1,16,1,17,1,11,1,10,1,8,1,17,5,12,1,9,1,12,1,11,2,16,1,17,2,10,1,8,1,29,1,28,2,30,1,6,1,7,1,6,1,13,1,6,2,7,1,8,2,9,1,24,1,10,1,}, {17,21,11,1,17,7,16,1,12,1,11,1,17,2,10,2,11,1,17,5,11,1,9,1,13,1,6,2,28,2,29,1,13,1,24,2,10,1,8,1,28,2,30,1,28,2,6,1,9,1,10,1,9,1,8,1,7,1,13,1,6,1,28,1,6,1,28,6,29,1,8,1,14,1,13,1,29,1,28,44,29,1,6,1,7,2,24,3,29,1,28,1,30,2,6,1,12,2,9,1,6,1,8,2,9,1,7,1,6,1,29,1,6,2,30,3,28,4,29,2,13,1,9,1,8,1,6,1,29,1,28,3,30,1,13,1,10,1,12,1,16,1,11,1,9,1,15,1,13,1,9,2,24,1,9,1,8,1,10,2,15,1,14,2,13,1,7,1,6,4,28,29,30,1,28,6,30,1,6,1,8,1,13,1,17,1,9,1,6,1,28,1,29,1,28,1,30,1,13,1,9,1,24,1,17,1,10,1,12,1,24,1,9,1,13,1,7,1,13,2,7,2,13,2,6,1,7,3,29,1,6,1,7,1,6,1,8,1,11,1,12,2,11,1,17,2,16,1,28,15,13,2,30,1,7,1,30,1,28,2,30,5,6,1,28,3,29,1,30,2,28,1,30,2,6,1,29,1,28,1,30,2,6,5,28,1,6,1,28,1,6,1,28,1,6,1,7,1,28,1,6,1,28,1,6,1,28,1,30,1,28,1,30,2,6,1,30,1,7,1,6,1,29,1,30,2,13,1,30,1,6,2,29,1,7,1,30,1,29,1,30,2,6,1,28,1,6,1,30,2,7,1,29,2,6,1,29,1,30,1,29,1,28,1,6,1,29,1,7,2,29,1,28,1,30,4,29,1,28,4,6,1,28,1,7,1,30,2,6,1,30,1,13,2,7,1,30,1,29,1,6,1,13,1,7,1,6,3,30,1,6,2,30,1,13,1,6,1,13,1,6,1,13,1,29,1,13,1,7,1,13,3,7,1,8,1,29,1,28,1,8,1,13,1,8,1,13,2,9,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,28,1,13,1,6,4,13,1,7,1,13,3,8,4,10,1,11,1,13,1,30,1,6,2,13,1,28,2,30,3,7,1,13,3,8,1,7,1,6,1,13,4,6,1,8,1,7,1,9,1,8,1,6,1,13,1,8,1,6,1,8,1,13,1,8,1,9,1,6,1,8,2,9,3,11,1,9,1,12,1,13,1,11,2,10,1,8,3,7,1,9,1,17,2,16,4,17,1,11,2,16,1,11,2,16,1,9,1,16,1,11,4,16,1,9,1,11,2,10,1,11,7,17,1,16,1,11,6,9,2,11,1,10,1,11,1,10,1,9,1,10,1,11,1,9,1,13,1,16,1,11,1,10,1,11,1,9,1,16,1,11,1,8,1,11,2,16,1,9,2,16,1,10,1,9,1,11,1,9,1,10,1,16,1,11,3,9,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,11,2,16,1,17,15,11,1,12,1,11,1,17,1,8,1,6,2,29,1,6,1,29,1,6,1,10,1,17,1,12,1,17,2,10,1,11,1,10,1,11,2,8,1,9,1,13,2,8,2,9,1,13,1,24,1,8,1,13,1,7,1,29,1,28,1,29,1,28,3,30,1,28,12,6,1,28,3,30,1,28,1,6,1,30,1,28,1,6,1,30,3,6,4,13,1,28,1,29,1,6,1,30,2,13,1,6,1,28,1,8,1,7,4,8,1,13,1,24,1,9,1,13,1,9,1,13,1,8,2,11,2,17,1,9,1,11,1,10,1,11,2,9,1,11,1,10,1,11,1,9,2,11,1,9,1,11,1,9,4,8,1,9,1,8,2,9,1,8,1,9,1,13,1,10,2,13,1,9,2,10,1,9,1,8,1,11,1,8,1,9,3,13,1,9,4,12,1,10,1,9,2,11,1,9,1,11,2,8,1,10,1,9,1,11,1,13,2,11,1,9,1,11,1,9,1,8,1,9,9,13,1,11,1,9,1,16,1,11,1,9,1,11,1,16,1,11,2,9,1,11,1,9,1,11,1,9,1,11,2,16,1,11,1,9,1,16,1,11,2,16,1,9,2,11,2,16,1,11,2,9,1,11,1,9,1,11,1,16,1,11,1,16,3,17,9,16,1,17,7,16,2,17,3,16,1,17,2,11,1,17,1,11,1,17,1,16,1,10,1,17,2,13,1,11,1,8,1,9,4,10,1,11,1,9,1,10,1,17,2,9,3,11,1,9,3,7,1,29,3,10,1,17,1,9,1,16,1,10,1,9,1,11,1,9,1,13,1,9,3,13,1,8,1,9,4,16,1,9,2,8,4,9,1,11,1,13,1,9,2,11,1,10,1,9,1,13,1,10,1,9,3,8,2,12,1,11,1,9,2,8,1,17,5,16,1,17,1,16,2,17,6,11,2,17,1,16,3,9,3,10,1,17,1,16,1,9,2,11,1,16,2,13,1,11,1,16,1,17,1,11,2,16,1,11,3,10,1,16,1,11,1,12,1,24,3,9,1,24,1,8,1,10,1,8,1,9,1,8,1,6,1,29,1,6,1,29,1,30,1,28,8,6,1,9,1,8,1,9,2,16,2,8,1,9,2,16,2,11,1,13,1,9,1,8,1,17,1,11,1,17,1,11,2,9,1,11,2,9,1,11,1,10,1,17,1,11,1,17,2,10,1,13,1,8,1,9,1,13,1,8,3,9,1,8,1,9,1,13,1,9,4,8,2,7,1,13,1,9,1,13,1,6,1,7,1,9,2,17,1,12,1,24,3,12,1,17,3,7,1,28,12,30,1,28,1,30,1,28,1,13,1,11,3,9,1,16,1,11,1,17,1,9,1,13,3,11,1,9,2,16,1,9,3,13,1,9,1,28,1,29,1,30,1,6,1,30,4,29,1,28,2,30,1,28,1,30,5,29,1,28,2,30,2,29,2,6,1,28,1,30,1,6,1,28,1,6,1,30,1,6,2,30,3,28,1,30,1,6,2,13,2,6,1,30,6,28,1,30,2,29,1,30,1,29,1,30,3,6,1,28,1,30,1,6,1,30,1,6,1,30,2,28,1,6,1,28,1,29,1,30,2,6,1,30,3,6,6,13,1,6,4,7,1,6,1,29,1,6,2,30,3,6,1,30,1,6,2,30,2,28,1,30,1,6,1,30,1,6,2,30,1,6,4,30,3,6,1,30,1,6,1,28,1,30,1,6,2,30,1,6,1,30,2,6,1,29,1,6,2,30,1,7,1,6,1,30,1,6,2,30,1,28,2,30,1,6,4,30,1,6,1,30,1,6,2,30,2,6,3,30,1,29,1,6,3,7,1,30,1,6,3,13,1,6,3,30,1,6,1,30,6,28,1,30,1,6,1,28,1,30,1,29,1,28,2,30,2,6,2,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,6,1,29,1,30,1,6,1,30,3,29,1,28,1,30,2,28,1,30,1,29,1,28,1,29,1,30,2,28,1,30,5,6,1,30,2,6,1,30,1,29,1,30,3,6,1,30,1,6,2,7,1,6,2,28,2,30,1,6,2,30,2,29,1,6,3,30,1,7,1,6,1,30,1,6,1,30,1,28,1,6,1,29,1,30,1,6,1,28,1,6,2,13,1,6,1,13,1,6,2,13,1,6,2,13,1,6,4,30,1,7,1,13,1,6,4,13,1,6,5,13,1,7,1,6,1,7,1,6,5,13,1,6,3,13,2,30,1,6,1,30,1,7,1,13,1,6,4,7,1,29,1,6,1,30,2,6,2,29,1,7,1,29,1,30,1,6,1,28,1,13,1,8,1,13,1,30,2,28,1,6,1,8,1,9,1,6,1,28,7,30,1,6,2,29,1,6,1,13,1,6,2,13,1,9,1,10,1,8,2,10,1,17,1,11,1,17,1,9,1,7,1,28,27,29,1,28,1,6,1,30,1,29,1,30,2,6,2,8,1,13,2,8,1,13,1,6,1,13,1,7,1,13,1,7,1,6,1,13,3,12,1,10,1,12,1,6,1,28,33,13,1,6,1,29,1,28,23,30,1,28,3,30,1,6,1,29,1,30,3,28,16,30,1,28,9,6,1,28,1,30,1,28,3,30,2,28,1,30,1,28,2,29,1,28,3,30,1,28,2,7,1,29,1,8,1,6,1,28,1,6,1,29,1,28,1,6,2,30,1,25,1,6,4,29,1,30,1,29,1,6,1,25,1,29,1,6,1,25,1,6,2,7,1,25,1,8,1,6,1,7,1,29,1,6,1,8,1,29,2,13,1,29,1,13,1,7,1,30,1,25,1,30,1,25,1,6,1,26,1,24,1,29,1,27,1,6,1,8,1,13,1,29,1,6,1,7,1,13,1,6,2,24,1,8,1,25,4,10,1,24,1,10,1,8,1,24,2,17,1,24,1,12,1,6,1,12,1,7,1,6,1,7,1,13,1,29,1,7,1,28,1,6,1,7,1,6,1,7,1,8,1,13,3,29,1,7,1,28,1,13,1,7,1,25,1,30,1,29,1,8,2,25,1,6,1,25,2,6,1,13,2,8,1,7,3,24,1,8,1,6,1,13,1,24,1,8,1,24,1,8,2,12,1,24,2,10,1,24,1,9,1,12,2,9,1,10,1,9,1,12,1,17,1,12,2,17,1,24,1,17,1,10,1,8,1,10,1,24,2,7,1,24,1,6,2,7,1,13,1,29,1,6,1,30,1,29,1,30,1,7,1,29,1,7,1,30,1,29,1,28,1,6,2,29,2,28,1,30,2,7,1,13,1,7,1,13,1,24,1,13,1,24,1,8,1,24,1,8,1,28,15,7,1,29,1,25,1,7,1,25,1,6,1,29,2,6,2,30,1,29,1,7,1,6,1,13,1,6,1,13,2,8,1,6,3,30,1,29,1,28,1,6,1,28,1,29,1,30,1,29,1,28,2,29,1,6,1,30,2,6,1,29,2,6,1,26,1,7,1,6,1,25,1,8,1,7,1,6,1,8,1,24,1,8,1,25,1,8,1,7,2,8,1,25,1,8,1,24,1,8,1,24,2,8,1,25,1,8,2,25,1,24,1,8,3,24,1,13,1,24,1,7,1,13,1,8,1,7,1,13,1,24,1,8,2,29,1,17,1,12,1,10,1,13,1,8,2,9,1,12,1,17,1,10,1,17,1,9,1,17,1,12,1,17,2,11,1,17,9,12,1,28,40,30,1,13,1,6,1,7,1,13,2,6,1,28,8,13,2,8,1,13,1,10,1,30,1,28,11,13,1,11,1,12,2,17,1,9,2,13,1,8,1,9,2,13,2,8,1,13,1,8,1,13,2,7,1,13,1,6,2,8,1,13,4,11,1,13,5,9,1,7,1,13,4,9,2,11,1,9,6,13,2,8,1,30,1,6,1,7,1,30,1,28,1,30,1,28,1,30,3,28,165,30,1,28,10,8,1,14,1,17,2,12,1,9,1,12,2,13,1,7,1,8,1,13,1,8,1,13,1,6,1,30,1,13,2,6,1,7,1,6,1,13,1,15,1,9,1,12,1,15,1,14,1,17,1,9,1,13,1,28,6,30,1,9,1,24,2,13,1,28,36,8,1,10,1,13,1,28,3,8,1,15,1,9,2,8,1,28,1,29,1,28,4,6,1,8,3,9,1,6,1,28,5,30,1,24,1,9,1,30,1,28,4,29,1,6,1,13,1,8,1,13,1,8,2,24,1,8,1,13,3,8,1,24,2,9,1,13,2,6,1,13,1,6,1,7,1,13,1,6,1,28,1,10,1,11,1,10,1,17,1,11,1,17,1,16,1,12,1,17,1,11,1,17,1,12,1,17,2,12,2,17,2,12,1,17,1,11,1,12,1,17,1,12,1,16,1,9,2,16,1,17,2,11,1,13,1,6,1,28,6,30,1,28,3,30,2,6,1,8,1,10,1,}, {16,1,17,5,16,1,17,11,8,1,10,1,9,1,11,2,17,3,11,1,8,1,9,1,8,1,13,1,6,3,7,1,13,1,9,1,17,5,12,1,8,1,29,1,6,1,28,1,30,1,28,1,30,1,6,1,9,1,8,1,10,1,8,1,28,5,7,1,9,1,8,1,9,1,13,1,6,1,13,1,30,1,29,2,28,4,30,1,28,1,30,1,13,1,9,1,24,1,30,1,28,43,30,1,29,1,30,1,13,1,7,1,8,1,10,1,24,1,29,1,28,1,30,2,8,1,11,1,9,1,24,1,13,1,8,2,13,2,29,3,6,1,29,1,28,2,30,2,28,2,6,1,13,3,9,1,30,1,6,1,30,1,28,1,29,1,28,1,13,1,17,2,12,3,11,1,9,1,12,1,9,1,24,1,8,3,13,1,15,1,14,1,9,1,8,1,6,2,29,1,8,1,30,1,28,36,29,1,30,1,13,1,12,1,17,2,30,1,28,1,6,1,30,1,28,1,8,1,10,1,24,1,8,1,24,1,8,1,13,1,9,2,7,1,13,1,6,1,13,1,6,3,13,1,6,1,29,1,6,1,29,2,30,1,6,1,8,1,24,1,10,1,9,1,11,1,12,1,17,1,16,1,6,1,28,14,13,3,30,2,28,1,29,2,28,1,29,1,30,1,6,1,30,1,6,2,30,6,28,3,30,3,28,1,30,2,29,1,30,2,28,1,6,1,30,2,28,1,6,1,28,1,29,1,6,2,28,1,6,1,29,1,30,2,6,1,28,2,29,1,7,1,6,1,29,1,6,2,29,1,30,1,28,1,6,6,30,1,29,1,30,1,6,1,30,1,6,2,29,1,7,1,6,3,13,2,30,2,29,1,30,1,28,1,30,1,6,1,28,1,6,1,29,1,30,1,28,1,6,1,29,1,30,1,6,6,13,1,6,1,29,2,6,1,8,1,29,1,6,1,13,2,29,1,6,1,29,1,30,1,6,3,13,1,30,1,6,1,7,1,13,3,6,1,29,1,13,1,7,2,6,3,30,1,13,2,7,1,30,1,13,1,7,2,29,1,13,2,30,1,8,1,6,1,13,2,8,1,7,1,6,1,29,1,8,2,9,1,8,1,13,1,9,1,8,1,9,1,8,1,6,1,13,1,30,1,13,1,29,2,30,1,6,1,29,2,13,1,28,1,29,1,7,1,30,1,8,1,6,1,8,1,13,4,7,1,9,1,13,1,30,1,13,1,8,1,6,1,13,2,8,1,13,1,6,1,13,1,10,1,9,2,10,1,9,1,11,1,9,1,8,1,9,1,16,2,13,1,9,1,8,1,6,1,8,1,17,2,16,1,17,1,16,3,11,1,16,2,11,2,16,2,11,1,9,1,16,1,11,1,16,2,9,3,10,1,9,1,11,3,17,4,11,3,9,3,11,1,9,3,11,1,16,1,11,1,9,1,13,1,16,1,11,1,10,1,9,1,11,1,9,1,11,1,16,1,11,1,16,2,11,1,9,1,11,1,16,1,11,6,16,1,10,1,16,2,10,1,16,1,11,1,16,2,11,2,16,4,17,18,16,1,17,1,9,1,12,1,8,1,30,2,6,1,30,1,12,1,17,2,11,1,12,1,11,1,9,1,10,1,9,1,12,1,9,2,8,1,13,1,8,3,13,3,30,1,7,1,6,1,30,1,29,2,28,4,30,1,28,3,30,2,28,1,29,1,6,1,30,1,28,5,30,1,28,1,7,2,29,1,30,1,6,2,29,1,6,1,29,1,30,1,29,1,28,1,29,2,6,1,29,1,6,5,30,1,13,2,6,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,8,2,13,1,17,2,11,5,9,1,11,2,10,1,9,2,8,1,11,1,16,1,11,3,9,3,11,1,9,2,13,1,9,1,8,1,13,1,9,3,8,1,9,4,8,1,9,2,10,2,9,4,16,1,13,1,10,1,9,2,11,1,9,3,11,2,9,3,11,1,9,3,11,1,9,2,10,1,16,1,13,1,9,4,10,1,8,1,9,2,11,1,9,1,11,2,9,1,11,2,9,1,11,2,10,2,11,1,9,1,11,2,16,1,9,1,16,1,11,1,10,2,16,1,11,5,9,1,11,1,16,2,17,1,16,1,17,1,11,1,16,1,17,24,16,1,17,2,16,1,17,1,12,1,16,1,13,1,9,1,12,1,8,1,13,1,12,1,8,1,13,1,9,2,11,1,16,2,11,1,16,1,9,1,8,1,13,1,8,1,13,2,6,1,7,1,13,3,11,1,9,1,11,1,9,3,8,1,9,1,6,1,9,1,10,1,9,1,10,1,13,1,8,2,9,1,16,1,9,1,17,1,9,2,17,1,10,1,9,1,8,1,13,1,9,1,13,1,10,1,9,1,8,3,9,1,11,1,8,1,9,1,10,2,11,1,16,1,8,1,16,1,9,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,16,1,17,4,16,1,17,1,16,3,11,2,16,1,17,1,16,4,17,1,16,1,9,2,11,1,16,3,17,1,16,1,11,2,17,1,11,1,9,1,17,1,11,1,13,1,11,1,10,1,8,1,10,1,8,1,10,2,24,2,13,1,8,1,13,2,30,1,6,1,30,2,28,8,13,1,8,1,10,1,8,1,9,1,8,1,13,1,9,1,11,1,9,1,17,1,16,1,11,1,9,1,13,1,9,2,16,1,17,2,16,1,10,1,9,2,10,1,9,1,10,1,16,1,11,1,17,3,13,3,9,3,8,4,9,1,10,1,24,1,8,1,13,3,6,1,13,2,6,2,8,1,13,1,10,1,12,1,17,2,9,1,13,1,9,2,10,1,17,1,16,1,28,12,6,1,28,1,30,1,28,1,9,1,11,2,9,4,11,1,9,1,13,2,9,1,13,1,9,2,16,1,9,3,11,1,13,1,6,1,30,7,28,1,30,6,28,1,30,2,28,3,30,1,28,1,30,1,29,1,28,1,30,2,6,2,30,1,6,3,30,2,13,1,6,1,7,1,13,1,30,1,6,1,30,1,28,1,30,4,29,1,6,1,30,2,28,1,30,1,28,2,30,2,28,1,30,2,28,1,29,1,28,1,6,2,30,3,28,1,6,1,28,2,30,1,6,1,30,1,6,1,30,1,13,1,30,1,6,2,29,1,6,3,30,1,13,1,6,4,30,1,6,1,29,1,28,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,9,6,1,30,1,6,1,30,1,6,2,30,4,6,1,30,2,6,1,29,1,30,1,6,1,28,1,13,1,6,1,30,1,6,2,30,9,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,3,30,1,6,1,13,1,6,2,30,1,6,1,29,1,6,4,7,1,30,2,6,1,30,3,28,1,30,1,6,2,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,1,30,3,6,1,30,1,6,2,30,6,6,1,29,1,30,1,29,1,30,1,28,1,30,1,6,1,30,2,6,1,28,1,30,4,28,1,30,4,29,1,6,1,30,1,29,1,30,3,6,2,30,1,6,1,30,1,6,2,7,1,6,1,30,1,6,1,29,1,6,1,30,2,7,1,30,2,6,1,30,1,6,1,13,1,6,1,30,2,28,1,30,1,6,1,29,2,6,6,13,1,6,1,13,1,6,2,29,1,6,1,30,1,6,3,30,1,6,1,29,1,6,2,7,1,6,9,13,1,6,1,29,2,6,2,30,1,6,1,13,1,30,1,7,1,6,2,29,1,6,2,30,1,29,1,6,4,30,1,28,1,6,1,29,1,6,2,30,3,6,1,13,3,30,1,28,1,30,1,6,1,13,2,6,1,28,12,30,1,6,2,13,1,9,1,10,1,9,2,12,1,17,1,12,3,10,1,6,1,28,26,29,1,28,3,13,2,24,3,9,1,13,3,24,1,6,1,13,1,7,1,13,1,7,2,13,1,7,2,17,1,10,1,24,1,28,34,30,1,6,2,28,4,29,1,28,58,30,1,28,1,30,1,28,9,30,1,28,2,30,2,6,1,30,4,28,2,29,1,6,1,29,1,28,1,6,2,29,1,6,1,29,1,30,1,6,2,29,1,6,1,25,2,6,1,25,1,6,1,25,1,29,1,30,1,8,2,6,2,7,1,6,2,7,3,24,1,6,2,26,1,30,1,29,1,30,1,7,1,25,1,6,1,8,1,7,1,6,1,13,1,7,1,6,1,13,1,7,1,24,1,7,1,24,1,13,1,8,1,24,2,7,2,24,1,10,1,12,1,24,2,8,1,24,1,6,3,13,1,6,1,13,1,7,1,8,1,24,1,6,1,7,1,6,1,13,1,8,1,24,1,7,1,8,1,6,2,8,2,25,1,6,1,25,1,8,1,25,2,8,2,6,1,7,1,6,1,8,3,13,1,24,1,13,1,6,1,24,1,13,2,8,1,13,1,24,2,13,1,12,1,10,1,24,2,9,1,17,1,24,1,17,2,10,1,17,1,12,3,24,1,12,1,10,2,24,1,10,1,7,3,8,1,13,1,6,2,25,1,29,1,26,1,6,1,27,1,29,1,6,1,29,2,6,2,29,2,7,1,29,1,8,1,30,1,13,1,6,1,8,2,7,1,24,1,7,1,25,1,24,1,7,2,28,12,30,1,28,1,30,1,28,1,30,1,29,1,6,3,30,1,6,1,25,1,30,1,6,2,7,3,13,2,7,1,8,3,7,1,6,1,30,1,8,1,27,1,25,1,30,1,29,1,30,2,6,2,28,1,6,1,29,1,13,1,29,1,6,2,25,1,7,1,6,1,25,2,26,1,27,1,25,1,6,2,8,6,13,2,8,4,24,1,8,7,24,1,7,1,24,1,13,3,7,1,13,1,8,1,13,1,24,1,8,1,12,1,10,1,12,1,13,1,8,1,9,1,11,2,12,2,17,1,11,1,17,1,12,1,17,2,12,1,17,9,9,1,28,39,30,1,13,1,7,1,13,4,30,1,28,7,30,1,6,1,29,1,30,1,28,8,13,1,9,1,30,1,28,3,13,1,9,1,12,1,17,1,9,4,8,1,13,1,8,2,13,1,6,1,9,1,6,1,13,3,8,1,13,4,9,1,13,1,7,1,13,1,9,1,13,10,16,1,13,1,11,1,9,4,6,1,13,1,8,1,9,1,13,2,9,1,13,1,6,1,28,5,6,1,30,1,28,1,30,1,28,40,30,1,28,131,29,1,10,1,9,1,17,2,9,1,17,1,8,1,13,1,8,1,30,1,24,1,8,1,29,1,6,3,29,1,30,1,28,1,6,2,13,1,8,1,10,1,14,2,12,2,17,1,13,1,28,6,29,1,24,1,9,2,13,1,28,36,9,2,13,1,28,3,7,1,24,1,10,1,8,1,7,1,30,1,28,5,7,1,13,2,8,1,12,1,6,1,28,5,6,1,7,1,24,1,6,1,28,4,29,1,13,1,6,1,8,1,13,1,8,1,24,1,8,1,13,3,8,1,24,2,10,1,11,1,8,2,13,2,6,2,30,1,6,1,13,2,12,1,10,1,16,1,12,1,11,1,16,1,12,1,11,1,10,1,12,1,17,4,9,1,11,1,12,1,16,1,17,2,11,1,17,1,12,1,17,1,11,1,16,3,17,1,11,1,13,1,28,12,30,1,28,1,30,1,29,1,}, {11,2,9,1,16,1,11,1,17,1,10,1,11,1,10,1,17,7,12,1,9,1,17,1,12,1,24,1,16,1,12,1,9,1,6,1,13,2,28,4,13,1,29,1,8,1,6,1,13,1,8,1,17,3,12,1,17,2,13,1,6,2,30,1,28,2,29,1,24,1,8,3,7,1,6,1,28,3,30,1,28,1,24,1,10,1,8,1,13,1,8,1,6,3,30,1,29,1,28,5,6,2,17,1,8,1,28,45,29,1,6,1,8,1,13,1,8,1,10,1,13,1,28,1,30,1,29,1,28,1,7,1,12,1,9,1,24,1,6,1,13,1,8,1,6,3,28,1,6,1,29,2,30,1,28,5,13,1,7,1,13,1,9,2,13,1,28,1,6,1,30,1,28,1,6,1,24,1,9,1,17,1,12,1,9,2,17,1,9,1,10,1,9,1,8,1,24,2,8,1,24,1,14,2,9,1,8,1,13,1,6,1,28,1,9,1,29,1,28,31,30,1,28,5,6,1,15,1,12,1,14,1,17,1,6,1,28,3,30,1,6,1,24,1,15,1,12,1,9,1,24,1,8,1,24,1,13,3,6,1,13,2,8,1,30,1,13,1,29,1,7,1,29,1,6,1,13,1,30,1,13,1,8,1,9,1,11,1,17,1,9,1,16,1,17,2,28,15,13,1,29,1,8,1,30,1,6,1,13,1,28,3,29,1,28,2,30,1,6,1,28,1,6,1,30,3,28,3,30,4,28,1,30,1,28,1,30,1,28,1,29,1,28,2,29,1,30,2,28,1,30,1,6,1,30,1,28,1,29,1,6,1,29,1,6,1,29,1,6,1,30,1,9,1,8,1,30,2,6,3,29,1,6,1,30,1,29,1,6,5,29,2,6,1,30,1,28,1,30,1,7,1,29,1,28,1,29,1,6,1,30,1,29,1,6,1,29,2,28,2,30,1,29,1,6,1,7,1,28,2,29,2,28,1,6,1,28,2,30,1,13,1,30,1,6,1,30,1,13,1,6,1,7,1,13,1,8,1,7,1,13,1,7,1,13,1,30,1,29,1,6,1,7,1,28,1,7,1,13,1,6,1,13,2,29,1,13,1,30,1,6,1,13,1,6,1,8,1,6,3,13,2,6,5,8,3,29,1,6,3,13,1,30,1,13,1,30,1,6,1,24,1,7,1,13,2,9,1,8,1,13,1,9,2,8,2,9,2,13,2,29,1,6,1,7,2,28,1,30,1,29,1,30,1,6,1,30,1,7,1,13,1,7,1,8,1,29,1,13,1,8,2,6,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,6,1,13,1,7,1,8,1,13,1,8,2,11,1,8,1,13,1,9,1,13,1,17,2,10,1,9,3,8,1,10,1,8,1,13,1,9,1,16,1,17,1,16,1,11,1,17,1,16,3,11,1,16,2,11,1,9,1,11,1,16,1,11,2,9,2,11,1,10,1,11,1,16,1,11,1,16,1,11,1,16,4,17,2,11,2,9,1,16,1,9,1,13,1,9,2,10,1,16,1,9,1,11,2,9,1,11,1,9,2,11,1,9,1,11,2,8,1,11,1,9,1,8,1,16,1,9,1,16,1,9,1,11,1,16,1,10,1,11,1,9,1,10,1,9,1,11,2,9,1,16,3,11,1,16,1,17,1,16,1,11,2,16,1,11,1,16,1,17,19,11,1,10,1,8,1,30,1,8,1,28,1,30,1,7,1,13,1,17,2,10,1,17,1,9,1,17,1,9,1,12,1,9,2,11,1,13,1,8,1,24,1,9,1,13,1,9,1,7,1,8,1,13,1,30,1,6,1,29,2,28,1,30,1,28,5,6,1,28,2,29,1,28,1,30,1,28,6,30,1,28,2,30,3,28,1,6,2,30,1,6,3,29,1,6,1,29,1,28,1,30,1,7,1,6,1,30,1,6,4,7,1,6,1,13,2,8,1,28,1,13,1,10,1,7,1,9,3,11,1,12,1,17,2,11,1,10,1,11,1,9,2,11,1,8,1,10,1,11,5,9,2,13,1,9,5,8,2,11,1,8,2,9,4,8,1,11,1,9,2,8,1,10,1,8,1,11,1,8,1,9,1,10,1,9,1,11,2,8,1,11,1,9,2,10,1,16,1,9,2,16,1,9,2,11,1,9,2,11,1,9,2,10,1,9,3,11,1,10,1,9,1,8,1,9,7,16,1,11,1,9,1,16,1,11,1,16,1,11,1,9,1,8,1,9,1,11,1,16,2,11,1,16,2,11,1,10,1,11,1,16,1,11,1,9,1,16,1,11,1,9,1,16,1,9,1,11,1,9,1,17,1,16,2,17,2,16,1,17,3,16,1,17,3,16,1,17,15,16,1,17,7,13,2,9,1,8,1,9,1,8,2,9,2,8,1,9,2,11,1,8,1,9,1,11,1,9,1,8,1,13,1,8,1,9,1,13,1,6,1,13,2,9,3,11,1,9,1,10,1,9,3,8,2,9,2,8,1,10,1,8,1,9,2,8,1,10,1,11,1,9,2,8,1,9,1,8,1,10,1,24,2,9,1,8,2,13,1,9,3,13,1,9,1,8,1,9,1,8,1,9,1,10,1,11,1,9,2,17,1,16,1,11,4,16,1,9,1,17,2,16,1,11,1,17,1,11,1,17,1,11,1,17,2,9,1,16,4,11,1,17,1,16,1,11,1,17,1,11,3,16,1,17,1,11,1,16,1,17,2,11,1,16,1,10,1,9,2,16,1,10,1,9,1,24,2,8,2,17,1,13,1,7,1,13,1,9,1,7,1,29,1,6,1,29,1,28,2,30,2,28,8,12,1,9,2,11,1,12,1,16,1,9,3,16,1,17,1,11,1,9,1,13,1,8,1,13,1,11,1,17,2,10,2,9,1,8,1,9,1,11,1,10,1,9,1,17,4,9,1,13,1,9,2,7,1,13,1,8,1,13,1,6,1,7,1,13,2,6,1,7,1,6,1,13,2,29,1,13,1,6,2,7,1,30,1,28,1,8,1,9,1,24,1,10,1,24,1,8,1,9,1,12,2,16,1,17,1,8,1,28,4,30,1,28,6,6,2,30,1,13,3,11,1,16,1,9,1,13,1,9,1,11,1,9,2,13,4,9,1,11,1,13,1,9,3,11,1,13,1,6,1,30,6,28,2,30,1,28,1,30,2,28,1,30,3,28,1,30,1,6,1,30,3,28,1,30,1,6,1,30,3,6,2,30,1,6,1,29,1,7,1,13,1,6,3,13,1,30,1,28,1,6,2,28,2,30,5,28,2,30,2,28,1,30,2,28,1,6,1,30,6,6,3,30,2,6,3,30,2,6,2,30,1,6,5,30,1,6,1,30,1,13,1,6,2,13,1,29,1,13,1,30,1,6,2,13,1,6,1,28,1,30,1,6,1,30,1,6,1,28,1,30,3,6,1,30,1,6,1,30,2,6,1,30,1,6,2,28,1,6,1,30,1,6,1,30,2,28,1,29,1,28,1,30,1,6,1,30,1,6,1,30,2,13,1,29,1,30,2,29,1,30,2,28,1,30,4,29,1,28,2,6,1,30,3,6,2,30,1,6,1,30,1,6,2,30,1,29,1,6,1,30,1,13,1,6,1,7,1,30,1,6,3,28,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,4,29,1,6,1,30,1,28,1,29,1,30,1,6,1,30,7,6,1,28,1,30,16,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,28,1,6,1,29,1,6,1,30,2,6,1,30,1,13,1,6,3,30,1,13,1,30,7,28,1,6,1,30,1,6,3,30,1,13,1,30,1,29,1,6,2,13,1,29,1,6,4,29,1,30,2,13,1,6,3,30,2,6,5,28,1,6,4,13,1,6,1,30,1,13,1,30,1,6,5,30,1,6,1,7,1,6,1,28,1,6,1,28,1,30,5,28,1,30,3,28,1,30,1,6,1,13,2,6,1,30,4,7,1,13,1,28,1,6,1,28,12,29,1,28,1,30,1,13,1,9,3,17,1,12,1,10,1,12,1,17,2,13,1,28,28,30,1,13,2,8,1,24,1,9,1,24,1,10,1,13,1,8,1,6,1,13,2,7,1,6,3,7,1,6,1,7,1,13,1,9,1,17,1,28,36,30,1,6,2,28,1,30,1,6,1,29,1,6,1,28,69,30,1,28,2,30,1,28,1,6,1,28,3,30,1,28,1,30,1,28,2,6,2,28,1,29,1,28,1,13,1,28,1,30,2,25,1,29,1,7,1,26,1,6,1,7,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,7,1,13,1,28,1,7,1,6,1,7,1,6,3,7,1,25,1,29,1,6,2,30,1,29,1,6,1,25,1,6,1,7,1,13,1,6,1,7,3,8,2,7,1,24,2,10,1,7,1,24,1,25,1,24,1,12,1,24,3,8,1,24,1,8,1,13,3,6,2,7,1,13,2,25,1,24,1,8,1,7,1,13,1,6,1,8,1,6,1,7,1,8,1,6,1,29,1,6,2,8,1,7,1,8,1,25,1,6,1,25,1,8,1,7,1,8,1,7,1,8,1,7,2,13,1,8,2,13,1,24,1,8,1,24,3,8,1,24,1,10,1,17,2,9,1,11,1,12,1,17,3,12,2,17,1,10,1,17,1,12,3,10,1,24,1,10,1,12,1,7,1,24,1,8,1,6,2,29,2,7,1,6,1,30,1,6,1,25,1,26,1,25,1,29,2,7,1,29,1,7,1,6,2,29,1,28,1,30,1,6,1,7,1,25,3,24,1,8,2,24,1,13,1,7,1,28,13,29,1,28,1,30,1,29,1,8,1,13,1,7,2,25,1,6,2,8,1,7,1,29,1,25,1,29,1,25,1,8,4,7,2,13,2,6,1,25,2,8,1,6,1,29,1,8,1,6,1,28,1,30,1,8,1,6,1,30,1,7,1,6,4,25,1,24,1,6,1,8,3,29,1,25,1,8,1,24,1,8,2,6,1,24,1,13,1,8,2,13,1,24,1,8,5,24,1,8,2,24,3,8,1,13,1,24,1,7,1,8,1,24,1,29,1,8,1,13,1,9,2,17,1,24,1,13,1,8,3,9,1,17,1,9,1,11,2,17,3,9,1,17,11,9,1,28,39,13,2,6,1,7,1,30,1,28,1,6,1,28,18,13,3,6,1,28,4,9,1,11,2,17,1,11,1,9,1,13,1,9,1,8,1,7,1,8,1,13,1,9,1,13,1,8,2,13,1,7,2,13,1,6,1,13,2,8,1,6,1,13,1,9,1,6,1,13,1,8,1,13,1,9,2,8,1,6,1,13,1,8,1,6,1,29,1,13,2,9,1,11,1,16,1,9,1,8,1,9,2,13,1,9,1,13,3,6,1,28,182,30,1,9,1,15,2,17,1,16,1,11,1,8,1,24,1,13,3,6,1,7,3,30,1,28,1,30,1,28,1,7,1,13,2,8,1,24,1,14,1,9,1,17,1,9,1,10,1,24,1,28,5,30,1,13,1,24,1,10,1,8,1,13,1,30,2,28,34,8,1,15,1,30,1,28,2,30,1,29,1,10,1,24,1,9,1,8,1,28,2,30,2,28,1,30,1,13,1,7,1,24,1,9,1,8,1,6,1,28,5,30,1,10,1,24,1,7,1,28,3,30,1,29,1,6,1,7,1,8,3,9,1,24,1,8,2,24,1,8,1,24,1,10,1,9,1,10,1,24,1,8,3,13,2,7,1,6,2,13,1,6,1,9,1,16,1,17,1,16,1,17,1,12,2,17,1,9,1,17,2,12,1,10,1,8,1,10,1,17,1,11,1,17,2,16,1,17,1,11,1,17,1,9,1,12,1,11,1,17,2,12,1,7,1,28,13,30,1,28,1,30,1,}, {12,1,17,1,16,2,17,9,12,1,17,1,11,2,8,2,9,1,13,2,7,1,8,1,13,1,6,1,30,2,29,1,6,2,7,1,13,1,6,1,8,1,10,1,13,1,17,1,12,1,17,3,12,1,13,1,6,1,30,1,28,4,24,1,8,2,24,1,13,1,28,1,29,1,30,1,28,2,30,1,8,1,9,1,13,1,9,1,8,1,6,1,29,1,30,1,28,7,30,1,8,1,24,1,7,1,28,45,6,3,29,1,13,1,8,2,30,1,28,3,8,1,12,1,24,1,8,1,13,4,7,1,24,1,6,1,7,1,29,3,6,1,28,2,30,1,28,2,8,1,13,1,9,2,13,1,7,1,6,2,28,1,6,1,13,1,9,1,10,1,17,1,12,1,9,7,15,1,24,1,9,1,10,1,15,2,13,1,6,1,28,1,13,1,29,1,6,1,28,35,29,1,13,1,9,1,24,1,8,1,15,1,10,1,13,1,28,1,30,1,28,2,13,1,24,1,10,1,12,1,9,1,24,1,8,2,13,1,8,1,6,1,13,1,6,1,30,1,6,2,8,1,6,2,29,1,30,1,28,1,30,1,28,1,8,1,11,1,12,1,9,1,17,4,28,15,7,1,6,1,13,1,30,1,6,1,30,1,28,1,30,1,28,1,29,2,6,1,28,1,30,2,29,1,28,2,30,1,28,1,29,1,28,1,30,1,6,1,28,2,6,1,28,2,6,1,28,5,29,1,30,1,28,1,6,1,7,1,6,1,28,1,29,1,28,2,7,1,29,1,7,1,13,1,7,1,6,1,13,1,29,1,6,1,13,1,30,1,6,1,30,2,6,1,30,3,6,1,29,1,6,1,13,1,28,1,6,1,28,1,29,1,6,1,30,2,6,1,30,1,29,1,6,1,29,1,6,3,7,1,28,2,30,1,28,1,29,1,6,1,28,1,6,1,30,4,6,3,29,1,6,1,30,1,13,2,6,4,7,1,6,1,13,2,6,3,13,1,30,1,8,1,6,2,13,1,30,1,13,3,6,1,8,1,6,1,8,1,7,1,30,1,6,1,13,2,7,1,13,1,8,1,30,1,13,1,30,1,8,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,13,2,29,1,13,1,6,1,13,2,24,1,11,1,12,1,10,1,13,1,11,1,12,1,9,1,13,1,28,1,29,1,6,2,29,1,7,1,30,1,6,1,29,1,30,1,6,2,8,1,13,1,7,1,6,1,9,1,13,1,7,1,13,1,7,1,24,1,8,1,13,2,9,1,13,2,8,1,13,2,8,1,6,1,13,1,9,1,6,1,8,1,13,1,9,2,12,1,9,1,10,1,8,1,11,1,10,1,9,1,13,1,8,1,9,1,17,1,16,1,17,2,16,4,11,2,16,1,11,2,9,1,10,1,9,1,11,3,10,1,9,1,11,1,9,1,11,3,10,1,16,3,17,1,11,2,16,1,10,1,11,3,9,1,17,1,9,1,11,1,9,4,16,1,11,2,9,1,11,2,9,2,11,1,16,1,11,1,9,1,11,2,10,1,11,3,16,2,17,1,9,1,11,1,16,2,11,5,16,1,9,1,16,1,11,2,16,1,11,1,17,20,11,1,12,1,9,1,8,1,6,1,28,1,29,1,6,1,11,1,17,4,16,1,11,1,9,1,17,1,12,2,10,1,9,1,8,3,13,1,8,1,9,1,13,1,6,1,13,1,30,1,6,1,29,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,28,5,30,1,28,2,29,1,30,1,6,1,8,1,28,1,30,1,7,1,6,1,30,2,6,1,29,1,6,1,30,2,29,1,28,1,7,1,30,1,28,1,6,2,30,1,6,1,7,1,13,1,6,1,8,1,30,1,7,1,24,1,13,2,9,1,13,1,8,1,13,1,9,1,8,1,9,1,17,1,16,2,10,1,11,1,9,1,10,1,9,1,11,2,17,1,10,1,11,1,8,1,11,1,9,1,13,1,9,4,8,1,9,1,11,1,9,3,8,2,9,5,11,1,9,6,10,1,9,2,11,1,13,1,10,2,11,1,9,4,11,1,9,1,10,1,13,1,9,6,11,3,9,3,10,1,9,4,11,1,8,1,11,2,16,1,9,1,11,1,9,1,16,1,11,3,16,1,11,4,9,1,11,3,16,1,11,3,9,1,11,1,9,1,11,1,16,1,11,2,16,2,17,3,16,2,17,6,16,1,17,12,16,2,17,2,16,1,17,6,8,1,9,2,8,1,11,1,9,2,12,1,9,2,13,1,10,1,9,1,17,1,13,1,9,1,16,1,10,1,13,1,9,1,13,1,8,1,30,1,9,1,13,1,9,4,17,1,10,2,9,1,11,1,6,1,13,2,16,1,13,1,11,1,8,3,13,1,8,1,9,1,11,1,9,2,8,1,9,1,10,1,9,1,24,1,13,1,9,1,13,1,8,2,13,2,9,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,10,1,11,1,17,1,9,1,16,1,17,1,10,1,17,1,11,1,17,1,16,1,17,1,11,1,16,1,9,1,11,2,16,5,11,1,10,1,16,1,9,1,17,2,11,1,9,1,17,1,9,1,11,1,17,1,11,1,17,1,9,1,16,1,11,1,9,1,11,1,17,1,12,1,11,1,8,1,24,1,9,1,8,1,13,1,24,1,8,1,13,1,8,2,13,3,29,1,7,1,28,2,30,1,28,8,7,1,11,1,13,1,8,1,10,1,12,1,8,1,9,3,16,2,11,1,8,2,13,1,9,1,16,1,11,2,10,2,11,1,9,2,11,1,9,1,11,1,17,3,11,1,30,1,7,1,30,1,13,1,7,2,13,4,7,1,13,1,7,1,13,1,29,1,13,2,6,2,30,2,29,1,30,2,6,1,13,1,12,1,9,1,12,1,8,2,10,2,16,1,17,2,28,11,30,1,6,1,30,2,13,2,9,2,11,3,9,1,11,1,16,1,9,1,13,1,9,3,11,1,9,1,11,1,9,1,10,1,9,1,8,1,30,1,28,1,29,1,6,1,28,2,30,1,28,4,30,1,28,1,6,1,30,2,6,1,28,1,30,1,6,1,30,1,6,1,30,5,6,2,30,1,29,1,6,5,30,1,6,1,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,6,1,30,4,29,1,6,1,30,1,6,1,30,2,6,1,30,4,6,2,30,1,6,1,29,3,6,2,13,1,6,3,30,1,6,1,30,1,6,2,13,1,30,1,29,1,6,4,30,3,29,1,6,1,30,2,6,2,7,1,6,4,30,1,6,2,30,1,6,1,30,1,6,3,30,2,6,1,30,1,28,1,6,1,28,1,6,1,30,2,6,1,7,1,30,1,13,1,6,1,13,1,30,4,29,1,6,1,30,1,28,1,29,1,30,2,6,1,30,2,28,1,6,1,30,1,6,1,30,1,29,1,6,4,30,1,6,2,7,1,30,1,6,1,30,1,6,1,28,1,30,1,29,1,28,2,30,2,28,1,6,1,30,2,28,1,30,5,28,1,30,4,28,1,30,2,28,1,29,1,6,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,8,28,1,30,3,6,1,30,3,6,1,30,1,29,1,30,3,6,1,28,1,30,3,6,1,30,1,28,1,30,1,6,1,30,2,13,1,30,1,13,2,29,1,6,4,13,1,6,2,30,1,29,1,6,1,30,2,6,1,30,2,28,2,30,1,6,1,30,2,28,1,30,1,29,1,6,1,30,1,29,1,30,1,6,3,30,2,7,1,30,2,29,1,6,1,30,1,6,2,13,1,6,1,7,1,30,1,13,2,30,1,7,1,6,2,13,1,28,1,13,1,6,1,30,1,6,2,30,1,6,2,7,1,6,6,30,1,6,3,30,2,6,3,29,1,6,1,30,1,6,1,29,1,13,4,30,1,6,1,30,2,6,2,28,1,30,1,7,1,28,11,30,1,28,2,13,1,9,1,24,1,10,1,17,2,12,1,11,1,12,2,10,1,6,1,28,27,6,1,7,1,8,1,24,1,9,1,8,1,24,1,12,1,7,1,13,1,7,2,29,1,6,1,29,1,6,1,7,1,6,2,13,2,24,2,28,36,30,1,6,1,29,1,6,1,8,1,30,2,29,1,28,19,30,1,28,6,29,1,28,7,30,1,28,39,30,1,6,1,28,2,30,1,28,1,30,1,6,1,28,1,29,1,7,1,28,1,7,1,30,2,6,1,30,1,29,1,6,1,28,1,25,1,7,1,30,1,6,1,30,1,27,1,6,2,7,1,29,1,6,2,13,1,6,2,30,1,7,1,6,1,29,1,7,1,28,1,6,1,26,1,27,1,25,1,29,1,25,1,6,3,29,1,6,2,13,1,6,1,8,1,13,1,8,4,25,1,8,1,24,1,8,1,24,6,8,2,24,1,8,1,6,1,24,1,7,1,8,1,13,2,8,1,6,1,7,1,30,1,13,1,7,1,13,2,7,4,8,1,7,1,25,1,30,1,27,1,25,2,24,1,8,1,24,1,8,3,24,2,10,1,8,2,24,1,8,2,24,1,6,1,24,1,9,2,8,1,12,1,9,1,12,1,10,1,12,1,17,1,12,1,10,1,17,2,12,1,17,1,12,1,10,2,17,2,12,1,10,1,12,1,8,1,24,2,13,1,6,1,8,1,7,2,29,1,25,1,6,1,25,1,28,1,29,1,7,1,29,1,30,1,29,1,7,1,6,1,30,1,6,1,30,1,6,1,29,1,7,1,25,1,8,1,25,1,24,1,8,1,25,1,7,1,6,1,8,1,28,13,29,1,6,1,29,1,7,2,6,1,24,1,8,1,6,2,29,1,30,1,7,1,13,1,24,1,7,1,24,1,7,1,8,2,13,1,24,1,8,1,24,1,8,1,25,1,24,1,8,1,6,2,8,1,29,1,8,1,28,1,7,1,29,1,6,1,29,1,8,1,13,1,7,2,13,1,25,1,8,2,25,3,8,1,24,2,7,1,10,1,13,1,24,1,8,1,24,1,7,1,8,1,24,2,8,1,24,1,8,2,24,1,25,1,8,1,24,3,8,1,24,1,9,1,6,1,13,1,6,1,7,2,24,2,12,1,10,1,17,1,13,1,9,1,8,2,9,1,12,1,17,1,11,2,17,1,9,1,17,1,11,1,12,2,17,10,29,1,28,38,13,3,6,1,7,2,30,1,28,16,30,1,13,1,7,2,13,1,6,1,28,4,30,1,16,1,9,1,17,1,11,1,10,1,8,1,9,1,10,1,13,1,9,1,6,2,8,1,13,6,6,1,30,1,7,1,13,2,7,1,30,1,13,4,7,1,13,1,8,1,13,4,8,1,6,1,13,2,8,2,9,1,13,1,8,1,9,2,13,4,7,1,6,1,29,1,28,9,6,1,28,92,30,1,28,67,30,1,28,10,30,1,24,1,15,2,9,1,16,1,12,1,8,1,24,1,8,1,29,1,7,1,6,4,29,3,28,1,7,1,8,3,10,1,15,1,10,3,17,1,9,1,30,1,28,5,13,1,10,1,24,1,8,1,13,1,28,36,8,1,9,1,6,1,28,3,30,1,8,3,7,1,30,3,28,3,6,2,8,1,9,2,7,1,28,5,29,1,9,1,13,1,6,1,28,2,6,1,29,1,28,1,7,2,24,3,8,1,10,1,24,1,10,1,12,1,8,1,9,1,12,1,15,1,12,1,9,2,13,1,8,1,7,1,13,2,7,1,6,1,30,1,13,1,29,1,9,1,10,1,12,1,17,1,12,1,11,1,12,1,11,1,10,1,17,4,9,1,11,1,17,3,16,1,17,3,11,1,17,1,16,1,17,2,10,1,13,1,28,15,30,1,}, {17,9,9,2,8,1,29,1,13,1,7,1,13,1,6,2,29,1,6,1,13,3,9,1,13,3,29,1,13,1,6,1,7,1,13,2,6,1,13,1,8,1,9,1,16,1,17,1,16,1,17,3,29,1,7,1,28,1,30,1,28,2,29,1,9,1,24,1,8,1,9,1,24,1,28,5,6,1,8,1,12,1,9,1,24,1,8,1,30,1,29,3,28,5,30,1,28,1,13,1,12,1,7,1,29,1,28,45,6,1,30,1,6,1,7,1,8,1,7,1,28,4,8,1,17,1,10,1,8,1,7,1,8,1,13,1,9,1,6,1,29,1,13,3,29,1,28,7,29,1,24,1,9,1,11,1,13,1,30,1,7,1,28,1,29,1,30,1,13,1,10,1,12,1,9,1,10,1,11,1,13,1,8,1,9,1,10,1,9,1,8,2,11,1,24,1,9,1,14,1,9,1,8,1,28,1,6,4,28,34,6,1,28,1,8,1,13,2,9,1,8,1,24,1,8,1,28,3,30,1,6,1,24,1,10,1,24,2,8,2,24,2,8,1,6,1,29,1,13,2,29,1,8,1,24,1,6,2,28,2,29,1,28,1,29,1,6,1,9,1,12,1,10,1,12,1,17,2,15,1,6,1,28,14,13,1,6,2,28,1,30,1,28,2,29,1,30,1,28,1,30,1,28,1,6,1,29,1,30,2,6,2,30,2,29,1,28,2,29,1,28,1,29,1,30,1,6,1,28,1,29,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,7,1,6,1,29,1,6,1,30,3,13,1,28,1,13,1,6,1,13,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,13,1,6,2,13,1,7,1,30,2,13,1,28,1,30,1,6,1,29,1,30,1,6,1,29,1,6,1,7,1,6,1,28,1,29,1,30,1,29,1,28,1,30,1,6,1,30,1,29,2,28,1,29,1,28,2,7,1,28,1,6,2,30,1,7,1,13,1,8,1,13,2,6,1,30,1,6,1,8,2,7,1,6,1,7,1,6,1,30,2,7,1,6,1,7,1,13,1,6,1,13,4,6,1,7,1,8,1,6,4,13,2,6,1,13,2,6,1,29,1,7,1,13,2,6,1,9,1,29,1,6,2,13,1,6,1,13,4,7,2,9,1,8,1,13,1,11,1,13,1,11,2,8,1,9,1,28,1,30,1,29,1,30,3,6,2,29,1,6,2,29,2,13,2,7,1,8,1,9,1,6,1,8,2,13,1,24,1,13,1,8,1,13,1,29,1,13,5,7,1,9,1,8,1,13,1,9,1,10,1,9,2,10,1,9,2,11,2,13,1,9,1,8,1,13,1,9,1,16,9,11,1,16,1,9,1,16,2,11,4,9,1,11,1,9,1,11,1,9,1,11,1,17,1,11,1,16,1,9,1,17,1,16,1,17,1,11,3,9,2,11,1,9,2,11,1,9,1,10,1,9,2,11,1,9,1,11,1,9,1,10,1,11,2,9,4,11,1,9,1,11,2,9,1,17,2,11,2,10,1,11,1,17,1,10,1,16,2,17,1,16,3,11,1,16,2,11,1,16,2,11,1,16,1,17,23,9,2,7,1,30,1,28,1,8,1,11,1,17,2,11,1,17,1,11,1,17,1,16,1,10,3,13,1,9,1,8,1,9,3,13,1,8,1,13,2,29,1,30,1,6,1,28,1,29,1,28,2,29,1,28,3,30,1,28,1,29,1,28,5,6,1,29,1,28,5,6,3,28,1,6,1,28,1,6,3,29,2,28,1,13,1,7,1,28,1,6,1,29,1,7,1,28,2,7,1,13,1,6,1,7,2,13,1,24,1,13,1,8,1,9,1,8,1,13,1,9,1,8,1,13,1,8,1,9,1,16,1,17,1,9,1,11,2,9,2,11,1,9,1,11,1,9,3,11,1,9,3,8,1,11,1,9,9,8,2,9,7,8,1,11,1,9,1,11,2,9,1,11,1,9,4,11,1,9,5,11,1,8,1,9,1,10,1,11,1,9,2,11,1,9,1,10,1,9,2,13,1,9,1,10,1,9,1,11,1,9,1,11,2,9,3,11,2,10,1,16,1,9,1,11,1,10,1,11,3,9,1,16,3,11,1,16,1,11,3,16,1,17,5,16,3,11,1,16,3,17,2,16,1,17,20,16,2,17,1,16,1,17,6,13,2,9,2,10,1,9,1,13,1,8,1,9,1,6,1,9,1,11,1,13,1,10,1,9,1,10,1,9,1,8,1,9,2,8,3,11,1,13,1,9,1,8,1,11,1,9,2,13,1,11,1,9,2,6,1,13,1,8,1,9,1,6,1,8,1,11,1,9,1,10,1,9,1,11,1,9,1,8,1,9,1,13,1,11,1,10,1,13,1,8,1,24,1,8,3,24,1,9,2,13,1,10,1,13,1,8,1,10,1,13,1,10,2,9,2,11,1,10,1,17,2,16,2,11,1,17,1,16,3,17,2,16,3,11,1,16,4,11,1,17,2,16,1,17,2,16,2,17,3,16,4,17,1,9,1,17,1,10,1,11,1,9,1,17,1,13,1,24,1,17,1,24,1,8,1,24,1,12,1,8,1,24,1,8,3,13,1,6,1,30,1,29,1,28,1,30,1,28,9,30,1,13,1,12,1,10,1,9,1,10,1,11,1,9,1,11,1,9,2,17,2,9,1,8,2,13,1,10,1,17,1,10,3,9,3,11,2,9,1,17,3,9,1,6,1,30,1,28,1,29,1,30,1,29,1,8,1,6,1,13,1,6,1,7,2,6,1,7,1,6,1,13,1,6,2,28,1,30,1,28,4,6,1,10,1,13,1,10,1,17,1,8,3,11,1,10,1,17,2,13,1,28,12,6,1,30,1,28,1,13,1,9,1,11,1,9,3,11,1,9,1,11,2,13,1,9,1,13,1,9,3,11,1,9,2,13,1,9,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,2,6,1,30,1,28,1,6,1,28,2,6,1,28,1,30,8,29,1,30,1,6,2,29,1,13,1,6,1,13,1,6,1,30,2,6,2,30,2,29,1,30,2,29,1,30,3,6,1,30,2,28,1,6,1,28,2,30,6,29,1,30,3,6,2,30,2,6,3,30,5,29,1,30,1,6,4,30,1,29,1,6,1,13,1,30,1,13,1,6,4,28,1,6,3,30,1,29,1,6,1,30,1,6,1,30,2,6,2,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,28,1,30,1,29,1,30,2,6,1,30,3,6,2,28,1,6,2,30,1,6,1,30,4,28,1,30,2,13,1,6,1,30,2,7,1,6,2,13,1,6,1,28,1,6,1,30,1,6,6,30,2,6,4,28,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,4,29,1,6,1,28,1,30,5,28,1,30,1,28,1,30,2,28,1,30,4,28,1,30,1,28,1,6,1,28,1,30,2,28,2,30,2,29,2,28,1,30,1,28,1,30,4,6,1,28,1,6,1,30,6,6,1,30,1,6,2,30,1,6,1,30,3,6,7,7,1,28,1,30,2,6,2,13,1,6,4,29,1,30,2,13,1,30,1,6,1,30,3,6,1,30,1,6,1,7,1,29,1,30,1,29,1,6,1,28,1,30,2,29,1,13,1,30,1,6,2,30,5,6,1,28,1,13,1,30,1,6,1,30,1,29,1,6,2,30,1,6,2,30,1,6,2,13,1,30,3,6,1,30,1,6,3,30,1,6,1,13,1,30,2,6,1,30,1,13,1,6,4,30,1,6,1,28,1,30,1,29,1,13,1,6,1,13,1,9,1,6,5,30,1,28,3,6,1,13,1,28,7,13,1,28,1,29,1,7,1,28,1,6,1,8,1,17,1,9,1,12,1,17,3,12,1,17,1,12,1,17,1,12,1,28,25,30,1,29,1,6,1,13,1,6,1,8,1,24,1,10,1,24,2,13,1,7,1,13,1,29,1,7,1,6,1,29,2,6,2,7,3,17,1,28,38,30,1,6,2,30,1,29,1,7,1,28,1,6,1,30,1,28,28,30,1,28,43,30,2,28,2,30,1,28,1,29,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,6,1,28,1,30,1,28,1,30,1,29,1,6,2,28,1,7,1,6,1,29,1,6,1,7,1,28,1,30,1,13,3,29,1,6,1,29,1,6,1,7,1,6,2,7,1,6,2,29,2,6,1,29,1,28,1,7,1,29,1,7,1,6,2,24,2,8,1,6,1,24,1,13,1,8,1,24,1,10,1,13,1,24,1,12,1,8,2,10,1,8,1,24,2,8,2,24,1,7,2,24,1,6,1,8,2,7,1,6,1,8,1,10,1,7,1,8,1,29,1,7,2,8,2,29,2,7,1,25,1,6,1,25,1,29,1,25,3,8,1,7,1,6,1,8,1,24,1,7,1,13,2,8,1,24,1,13,1,24,1,8,4,13,1,10,2,9,1,10,1,17,1,12,1,24,1,9,1,17,2,10,1,17,1,10,1,9,1,10,2,12,1,10,1,12,1,9,1,24,1,10,1,24,2,7,1,24,1,13,1,8,1,7,2,6,4,27,1,7,1,27,1,7,1,29,1,6,1,30,1,29,1,6,3,29,1,6,1,29,1,8,1,6,1,24,1,25,2,6,1,8,1,13,2,28,11,30,2,29,1,30,1,27,1,29,1,6,1,25,1,6,1,24,1,6,1,8,1,6,1,24,2,25,1,6,1,13,1,24,1,7,1,8,1,7,1,24,2,7,1,24,1,13,1,8,2,7,1,8,4,6,1,7,1,6,1,7,2,6,1,7,1,6,1,13,1,7,1,13,1,7,1,24,2,13,1,8,1,25,1,24,2,25,1,8,2,13,1,8,1,7,1,8,1,13,1,24,2,7,1,13,1,24,1,8,2,7,1,24,1,8,1,25,1,24,1,7,1,8,2,7,2,13,3,24,1,12,2,9,1,10,2,13,1,8,1,13,2,24,1,8,1,11,1,9,2,12,1,9,1,12,1,11,1,17,4,16,1,11,1,17,5,9,1,28,38,30,1,13,1,6,2,13,1,29,1,28,17,29,1,13,1,6,3,30,1,28,5,9,2,17,1,12,1,9,6,13,5,8,2,6,1,13,3,6,1,13,2,6,1,13,2,7,1,13,1,30,1,13,2,8,1,13,1,8,1,13,1,6,1,13,1,6,2,13,1,9,6,13,1,8,1,13,1,9,1,13,3,28,1,30,1,28,9,30,2,28,37,30,1,28,50,30,1,28,70,30,1,28,1,30,1,28,8,29,1,24,1,17,1,14,1,12,2,9,1,8,1,6,1,28,1,29,1,7,1,29,1,7,1,30,1,28,1,7,1,30,1,29,1,6,1,29,1,6,3,8,1,9,1,14,1,15,1,12,1,24,1,13,1,28,4,30,1,29,1,7,1,9,1,24,1,12,1,28,37,9,1,17,1,6,1,28,2,29,1,28,1,9,1,8,1,7,1,13,1,28,5,30,2,6,1,13,1,9,2,6,1,28,5,6,1,9,2,29,1,28,3,30,1,6,3,8,1,24,2,12,1,24,1,8,1,7,1,13,1,8,1,24,1,9,1,15,1,17,1,10,1,9,1,10,1,11,1,10,1,7,1,29,1,7,1,13,1,6,1,13,1,7,1,13,1,9,2,12,2,11,3,12,1,17,1,12,1,17,1,12,2,10,1,17,7,12,1,11,1,17,3,11,1,30,1,28,15,30,1,}, {17,5,11,1,8,1,13,2,8,1,28,1,6,1,7,1,13,2,6,1,13,1,6,3,13,1,6,1,13,6,7,1,13,1,8,1,13,2,9,1,13,1,9,1,16,1,11,1,17,1,16,1,17,2,11,1,13,1,30,1,28,4,30,1,8,1,9,1,24,1,12,1,24,1,28,6,9,1,12,1,24,1,8,1,6,1,13,2,6,1,30,1,28,7,8,1,24,1,8,1,28,44,29,1,6,2,29,1,30,1,13,1,8,1,7,1,28,3,6,1,7,1,10,1,9,2,28,1,29,1,8,1,13,1,29,1,6,1,13,1,30,1,6,1,29,1,6,1,7,1,30,1,28,1,30,1,28,1,6,1,7,2,9,1,11,1,13,1,30,1,6,1,30,1,6,1,29,1,6,1,12,1,17,3,9,3,13,1,6,1,9,1,24,1,8,1,9,2,8,1,14,1,9,1,6,1,13,1,7,2,6,1,29,1,28,34,30,1,7,1,6,1,13,1,24,1,7,1,12,1,24,1,8,1,28,4,7,1,9,1,10,1,8,1,10,2,8,2,24,1,6,1,8,1,6,1,29,1,6,3,13,1,7,1,6,1,28,1,30,4,6,1,24,1,12,1,10,1,12,1,17,2,14,1,6,1,28,14,6,1,28,1,13,1,29,1,28,2,30,1,28,1,30,3,28,3,29,1,30,2,28,1,6,1,29,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,3,6,1,30,3,29,1,28,1,30,2,29,1,6,1,13,2,6,2,13,1,28,1,7,2,30,2,29,2,30,1,6,2,28,1,6,1,28,1,6,1,28,1,7,1,6,2,13,1,30,1,28,1,6,1,30,2,6,1,30,2,7,1,30,1,7,1,13,1,28,1,8,1,30,1,29,1,30,1,13,1,7,1,30,2,28,1,29,1,6,1,28,1,6,3,7,1,29,1,28,1,6,1,7,3,29,1,13,1,28,1,24,1,29,1,6,1,13,1,7,1,13,1,30,1,29,1,13,1,30,1,13,3,6,1,13,1,30,1,6,1,7,1,29,1,13,1,29,1,13,1,8,1,7,1,13,1,6,1,29,1,8,1,6,1,13,1,6,1,13,1,7,1,6,3,7,1,29,1,13,1,6,1,13,1,29,1,13,3,7,2,13,1,9,1,8,1,9,4,10,1,13,2,30,2,6,1,30,2,6,2,28,2,6,1,7,1,13,3,8,1,7,1,13,1,12,1,13,1,8,1,9,1,7,1,9,1,30,1,6,1,8,1,13,1,8,1,13,1,6,1,7,1,11,1,13,1,9,1,13,2,6,1,10,1,13,1,9,2,11,2,8,1,11,1,13,1,9,1,13,1,9,2,16,2,17,1,16,4,11,2,16,1,9,1,11,1,16,3,9,1,10,1,16,1,11,4,16,2,10,1,11,2,16,1,10,1,9,1,17,1,16,1,11,2,9,1,11,1,9,3,11,1,8,1,11,3,9,1,11,1,9,5,8,1,9,1,11,4,10,1,11,1,16,1,9,1,16,4,11,1,16,1,9,1,17,1,16,2,9,1,17,2,16,1,11,2,17,1,11,1,16,2,11,1,17,3,16,1,17,1,16,1,17,18,9,1,10,1,13,1,28,1,30,1,17,2,12,1,11,1,17,1,11,2,16,1,12,1,11,1,9,2,11,1,8,2,13,2,9,1,8,2,7,1,30,1,29,1,6,1,30,2,28,1,29,2,28,1,30,2,28,1,29,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,6,1,29,2,30,1,6,3,28,1,29,1,30,1,6,1,30,1,6,2,30,3,28,1,6,1,30,1,28,1,6,1,7,1,6,1,29,1,6,1,13,1,8,1,10,1,13,2,8,1,13,1,8,1,9,1,13,1,8,2,11,1,17,2,11,1,9,1,11,1,9,3,16,1,11,1,9,2,11,1,9,4,11,1,9,2,8,1,9,1,10,1,8,1,9,3,13,1,10,1,9,1,10,1,9,6,10,1,9,2,11,1,9,4,11,3,9,1,8,1,9,4,11,1,9,2,10,1,8,1,9,6,11,1,9,1,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,11,1,16,1,11,2,9,2,11,2,10,1,16,1,11,1,16,1,9,2,11,1,9,1,11,1,16,3,17,1,16,1,11,1,17,2,11,1,16,2,17,6,11,1,17,11,16,1,17,4,10,1,16,2,17,1,16,1,17,4,16,1,17,3,13,1,8,1,13,1,9,1,13,1,9,1,7,1,13,1,8,1,13,4,9,1,8,1,12,1,13,1,8,1,13,2,10,1,13,2,9,2,11,1,8,2,9,1,17,1,9,1,11,1,9,2,8,1,10,1,9,1,12,1,11,1,10,1,9,3,8,1,9,2,8,1,11,2,9,1,10,1,13,1,10,1,13,1,24,1,8,1,13,1,10,1,9,1,13,1,8,1,24,1,9,1,6,1,8,2,9,1,13,2,9,2,11,1,17,3,16,1,11,1,16,2,17,5,11,1,17,1,11,1,16,1,11,2,17,1,16,1,11,3,17,1,16,3,17,3,11,2,17,1,11,3,12,1,17,1,13,1,9,1,17,1,11,1,8,1,13,1,10,1,24,1,13,3,24,1,6,1,7,1,13,1,7,1,30,1,7,1,30,1,29,1,28,1,30,1,28,8,7,1,24,2,8,1,9,2,8,3,13,1,9,1,16,2,11,1,9,1,8,1,9,2,17,1,16,2,17,1,9,2,11,1,9,1,11,3,17,2,13,1,30,2,29,1,28,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,2,7,1,13,1,28,1,29,1,30,1,28,6,30,1,13,1,24,1,8,1,10,1,9,1,12,1,10,1,24,1,12,1,11,1,17,2,28,13,30,1,7,1,30,1,13,2,11,1,16,1,9,1,16,1,9,1,16,1,11,1,9,1,13,1,9,4,13,4,11,1,30,1,6,1,28,1,30,2,28,1,30,1,28,2,6,2,30,1,28,1,29,1,30,2,6,1,30,5,6,1,30,1,28,1,6,1,29,2,30,4,13,1,6,2,7,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,6,1,30,1,29,1,30,2,28,1,6,1,30,3,28,1,6,2,30,1,29,1,30,1,6,7,13,1,6,1,7,1,6,3,30,1,6,1,30,1,6,1,28,1,6,2,30,1,29,1,30,2,6,2,30,1,6,1,13,1,6,1,30,1,6,1,30,1,6,2,13,2,6,6,29,1,28,1,30,1,6,1,30,3,28,1,6,1,30,1,6,2,13,2,30,1,6,1,30,3,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,6,3,30,1,6,3,30,1,6,2,30,1,6,5,29,1,30,2,6,2,30,1,6,1,30,1,28,1,6,1,28,1,30,6,28,1,29,1,28,1,30,2,28,1,6,1,28,2,29,1,30,3,6,1,30,1,28,1,30,2,28,4,30,3,28,2,6,1,30,2,6,1,30,6,28,1,6,1,30,6,28,4,30,2,6,2,13,1,6,1,30,2,6,6,29,1,30,2,6,3,13,2,29,1,6,4,28,2,30,2,28,4,6,1,30,3,28,1,30,3,6,2,29,2,30,2,6,2,28,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,2,6,5,30,1,6,4,30,1,6,5,7,1,6,1,29,1,13,1,6,3,30,1,6,1,30,1,6,2,30,1,7,1,30,1,6,1,30,2,13,1,8,1,30,1,13,1,30,2,29,1,6,1,28,3,13,1,12,2,13,1,6,1,29,1,6,1,13,1,6,1,13,1,24,1,8,5,12,1,17,1,12,2,17,5,12,1,17,1,12,1,6,1,28,23,6,2,7,1,6,1,8,1,6,1,8,1,24,2,8,1,24,1,6,1,7,1,6,1,30,1,6,1,28,2,6,1,7,3,24,1,17,1,28,39,29,1,13,1,29,1,30,1,6,2,29,1,28,74,29,1,28,1,30,1,28,3,30,2,28,1,29,2,28,1,6,2,7,1,29,1,28,1,7,1,6,1,29,1,30,1,25,1,29,1,6,1,29,2,6,2,29,2,13,1,7,1,13,2,7,1,13,1,6,3,29,1,30,1,29,1,6,1,29,1,6,2,7,1,29,1,6,1,25,1,7,2,25,1,6,1,8,1,25,1,8,1,13,2,10,1,24,1,8,1,24,1,10,1,7,1,24,10,8,1,13,2,8,2,24,1,7,1,6,1,25,1,7,2,6,1,13,1,25,2,24,1,25,1,27,1,6,1,28,1,10,1,27,1,25,1,6,1,26,1,8,1,29,1,24,1,7,1,8,1,24,1,13,1,8,1,7,1,24,1,13,2,10,1,24,4,9,1,12,1,10,1,12,1,8,1,10,1,12,1,17,2,12,1,10,1,12,3,10,1,12,1,17,4,12,1,9,1,24,2,6,1,8,3,6,3,29,1,25,1,7,1,6,4,30,1,29,6,6,1,29,1,6,1,7,1,6,1,7,1,6,1,10,1,7,1,8,2,6,1,28,10,29,1,28,1,30,1,6,1,27,1,6,1,7,1,25,1,8,1,7,1,8,1,13,1,8,1,6,1,25,2,24,1,8,1,6,1,8,1,24,3,8,2,24,2,7,1,13,1,8,2,9,1,13,1,7,1,8,1,24,1,8,2,13,1,6,2,7,1,13,2,8,1,24,1,8,1,13,2,24,1,12,2,13,1,17,1,7,1,24,1,6,1,13,1,10,1,8,5,7,1,24,4,25,1,8,2,24,1,12,1,25,1,8,1,24,1,6,1,13,1,8,1,24,1,9,3,12,2,7,1,13,1,8,2,9,1,24,1,10,1,8,1,10,1,9,1,11,1,10,2,11,1,12,1,17,3,11,1,17,8,28,37,13,2,7,1,13,1,7,1,28,1,30,1,28,15,30,1,6,1,13,1,6,2,28,7,7,1,10,1,9,1,17,1,12,1,11,1,13,2,9,1,13,4,8,1,13,1,6,1,13,1,6,2,13,1,6,2,13,2,7,1,6,1,13,1,30,1,13,2,6,3,7,1,28,1,13,1,30,1,13,1,6,2,7,1,6,1,28,1,9,1,13,2,9,2,7,1,9,1,8,1,7,1,9,1,13,1,7,1,6,1,28,12,30,1,28,39,30,1,28,41,30,1,28,1,30,1,28,75,30,1,6,1,7,1,30,1,28,6,13,1,9,1,15,2,17,2,10,1,8,1,13,1,6,1,8,1,6,2,7,1,28,1,30,1,6,1,28,1,30,2,6,1,7,1,13,2,24,1,14,1,15,1,9,1,12,1,24,1,13,1,28,6,13,1,9,1,24,1,8,1,29,1,28,35,6,1,17,1,16,1,13,1,28,1,29,1,6,1,29,1,10,1,8,1,13,1,29,1,28,5,6,2,7,2,13,1,9,1,29,1,28,5,29,1,12,1,8,1,30,1,28,2,30,1,28,2,6,1,28,1,13,1,24,1,8,1,9,1,15,1,9,1,6,1,13,1,6,2,17,1,11,1,12,2,9,1,10,1,11,1,17,1,9,1,8,1,7,1,13,1,7,1,13,1,6,1,13,2,11,1,10,1,9,1,17,1,11,2,9,1,17,3,10,1,16,2,17,2,12,2,17,3,12,1,17,3,12,1,8,1,6,1,28,16,}, {9,1,10,1,12,1,13,1,10,1,7,1,29,1,8,1,13,1,29,1,13,1,7,1,30,2,6,1,30,2,29,1,13,1,28,2,13,2,7,2,8,2,13,1,7,1,8,3,13,3,9,1,11,1,16,1,17,3,11,1,16,1,9,1,30,3,28,3,7,1,24,1,8,1,9,1,7,1,6,1,28,5,24,3,8,1,13,1,7,1,30,1,6,1,29,1,30,1,28,5,29,1,6,1,24,1,8,1,28,44,29,1,30,2,6,1,29,2,13,1,7,1,28,3,30,1,8,1,9,1,15,1,10,1,13,1,6,1,13,4,6,2,7,1,6,1,29,1,28,2,30,3,29,1,13,1,29,1,8,1,24,1,13,1,30,2,28,2,30,1,8,1,9,1,12,1,11,1,9,2,24,1,8,1,10,1,24,1,9,1,8,5,10,1,9,1,6,1,13,1,6,1,29,2,30,1,28,35,30,1,13,1,29,1,13,1,7,1,8,1,10,1,28,3,29,1,28,1,6,1,24,1,8,1,24,3,9,1,24,1,8,1,24,1,13,2,6,2,30,1,13,1,8,1,29,1,6,1,30,1,29,1,30,3,8,1,24,1,12,1,11,1,17,3,14,1,29,1,28,10,30,1,28,3,30,1,13,1,7,1,30,1,28,1,30,1,28,1,6,1,28,1,30,3,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,30,1,29,1,6,1,30,2,28,1,6,1,30,2,28,2,6,1,29,1,30,2,29,1,28,1,29,1,28,1,29,2,6,2,13,1,6,2,29,1,13,1,30,1,28,1,30,1,6,1,28,1,7,1,13,1,28,1,29,1,6,1,30,1,28,1,6,1,30,1,29,1,6,2,13,1,7,1,30,1,29,2,6,2,13,1,29,1,30,2,29,1,13,2,30,1,6,3,28,1,6,1,30,1,29,2,30,2,28,2,29,1,6,1,30,3,13,1,7,1,6,1,13,2,8,1,7,1,30,1,13,1,6,1,13,1,7,2,6,2,13,1,6,2,8,1,28,1,13,1,30,1,13,1,6,1,13,1,6,1,13,1,8,1,29,1,8,1,13,2,6,1,8,1,6,1,29,1,13,1,30,1,13,1,28,1,6,1,13,2,6,2,7,1,8,1,7,2,8,1,13,1,6,1,7,2,6,1,13,2,8,1,9,3,8,1,11,1,13,1,6,1,30,1,6,1,30,1,28,1,29,1,30,1,6,1,29,1,30,1,13,1,7,1,29,1,13,1,8,1,6,1,13,1,7,1,8,2,6,1,24,1,6,1,8,1,13,2,8,1,13,1,8,3,9,1,8,1,9,1,13,1,9,1,8,2,13,1,8,1,16,1,10,1,9,1,10,1,11,1,10,1,11,1,8,1,13,3,17,4,16,1,17,1,16,3,17,1,11,1,16,1,11,1,16,3,11,1,9,2,11,4,16,1,9,1,16,1,10,1,11,3,17,1,11,1,9,5,11,1,10,1,9,1,13,1,10,1,9,1,11,1,9,1,16,1,9,1,11,2,9,1,16,1,9,1,11,1,10,1,9,1,11,1,9,2,11,1,10,1,9,1,11,1,9,1,16,2,10,1,11,1,16,1,9,1,11,1,16,1,11,1,17,1,11,2,16,4,11,3,17,24,12,1,11,1,13,2,30,1,9,1,12,1,11,1,17,1,11,1,17,1,16,2,9,2,11,1,9,3,8,1,9,1,24,1,13,1,9,2,13,1,7,1,8,1,30,1,6,2,30,1,6,1,28,1,6,1,28,2,30,1,28,4,29,1,28,3,29,2,30,1,28,4,29,1,28,1,6,1,7,1,29,1,7,1,6,2,7,1,30,1,13,1,28,1,6,2,29,1,6,1,28,1,30,1,6,1,29,1,30,1,6,1,7,1,8,1,24,1,9,1,13,3,7,1,13,2,8,2,9,1,8,1,9,1,17,4,16,2,8,1,11,2,9,3,11,1,9,1,10,1,9,1,10,1,9,5,8,1,13,1,8,2,13,1,8,1,9,3,10,1,13,1,9,5,10,1,9,12,11,1,9,1,11,2,9,1,16,1,9,3,11,2,10,1,9,3,11,2,9,2,11,1,17,1,16,1,10,1,11,4,16,3,11,1,16,3,9,1,11,2,9,1,11,3,17,1,16,2,17,4,16,2,17,3,11,1,16,1,17,1,11,1,17,1,11,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,8,10,1,16,1,17,3,11,1,16,2,17,6,6,1,9,3,10,1,13,2,8,2,13,1,9,1,10,1,9,2,13,1,8,3,9,4,10,1,9,2,13,1,9,1,8,1,9,3,8,1,9,1,8,1,13,1,9,1,8,1,13,2,9,4,11,1,13,1,10,1,8,1,9,2,8,1,9,2,8,1,9,3,24,1,9,1,13,1,8,2,13,1,7,1,13,1,24,1,8,1,9,1,13,1,9,2,8,1,17,1,11,1,12,1,17,1,9,1,17,1,16,1,17,1,11,1,17,1,16,1,17,2,16,2,17,1,11,1,9,1,17,3,16,1,11,1,16,1,17,1,16,1,10,1,16,1,9,1,17,1,9,1,11,1,16,1,12,1,17,1,11,1,17,1,11,1,9,3,10,1,8,1,12,1,24,1,8,1,24,1,13,1,8,1,13,1,24,1,8,1,12,1,7,1,6,2,30,1,29,1,28,11,6,1,24,1,9,1,24,1,9,1,16,1,9,1,11,1,9,1,16,2,17,2,9,2,8,1,9,2,16,1,17,2,16,1,9,1,11,1,9,1,11,2,16,1,11,1,17,2,13,1,28,2,30,1,28,2,30,3,29,1,30,3,29,1,28,1,6,1,30,1,28,9,29,1,24,1,11,1,9,2,24,2,12,1,10,1,8,1,16,1,17,1,13,1,28,10,30,1,28,1,6,1,28,1,30,1,13,2,9,1,11,2,9,1,13,1,16,1,9,3,13,1,9,2,13,3,9,1,13,1,9,1,30,6,28,1,30,1,28,1,30,2,28,1,6,1,30,5,28,1,6,1,30,3,6,2,29,1,30,1,6,1,30,2,29,1,13,1,6,3,30,3,29,1,6,1,30,1,28,1,30,3,28,1,6,1,28,3,30,3,28,1,7,1,30,1,28,1,30,2,29,1,6,1,29,1,30,4,6,1,30,1,29,1,6,1,30,4,6,1,30,4,6,1,30,1,6,2,30,1,6,1,30,2,6,1,30,1,6,3,30,3,29,1,30,1,6,4,30,1,29,1,30,2,6,1,28,1,6,1,13,1,28,1,6,1,30,1,6,3,30,1,6,2,30,4,28,1,30,1,6,3,30,1,29,1,13,1,6,2,7,1,6,3,30,2,6,2,30,1,6,1,28,1,6,1,30,1,6,2,7,1,6,3,30,1,6,3,7,1,6,4,29,1,6,3,29,1,30,1,29,1,30,1,6,1,30,1,29,1,30,2,6,1,30,2,6,1,28,1,30,1,6,1,28,1,30,2,28,3,30,1,28,5,30,1,28,1,30,1,6,1,28,1,30,2,29,1,30,2,28,2,30,2,28,1,30,1,29,1,6,1,30,1,28,1,6,1,30,2,28,1,30,3,28,1,30,5,28,1,30,3,6,1,28,1,30,1,7,1,28,1,6,1,7,1,30,1,13,1,30,1,6,2,28,1,6,2,30,1,6,2,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,1,30,3,29,1,28,1,30,6,6,1,30,1,28,1,30,1,6,2,29,1,28,1,30,1,7,1,30,1,6,1,28,1,6,5,28,1,30,1,6,1,30,1,6,3,28,1,30,2,13,1,29,1,6,2,7,1,6,2,13,1,30,2,6,3,13,1,6,3,13,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,3,30,1,29,1,9,1,13,1,6,3,28,1,6,1,30,1,28,1,30,1,9,1,12,1,11,1,12,2,10,1,9,2,12,3,10,1,11,1,10,2,11,1,12,1,17,4,12,1,9,1,12,1,17,1,12,1,17,4,9,1,28,17,13,1,8,1,24,1,6,1,7,2,6,1,29,1,7,1,6,1,8,1,13,1,29,1,13,1,6,1,8,1,29,1,30,1,28,1,29,1,30,3,7,2,6,1,13,1,12,1,28,41,6,1,13,1,7,1,6,1,7,1,30,2,28,74,29,1,28,5,29,1,28,2,29,1,30,2,29,1,28,2,29,1,7,2,6,2,7,1,30,1,6,1,7,1,30,1,29,1,30,1,13,1,28,1,6,2,7,1,6,2,30,1,29,1,6,1,7,1,29,1,6,1,28,1,7,1,6,3,29,1,6,2,30,1,7,1,13,1,8,1,7,1,6,1,24,1,6,1,25,1,13,1,24,1,7,1,8,3,25,1,8,1,24,2,10,1,24,1,10,1,24,2,8,1,13,1,8,2,7,1,24,1,29,1,8,2,6,1,7,1,24,1,13,1,7,1,24,1,7,1,25,1,7,1,25,1,6,1,29,2,8,1,25,1,27,1,26,1,29,1,8,2,25,1,24,1,8,1,7,1,24,2,8,3,10,1,13,2,12,1,10,1,9,1,24,1,8,1,24,1,17,2,12,1,9,1,17,1,24,1,17,1,12,1,17,1,12,1,10,1,17,1,12,3,9,1,17,2,13,1,17,1,9,1,24,1,13,5,25,1,29,1,7,3,6,2,28,1,7,1,29,1,6,1,29,1,30,1,6,1,29,1,6,2,30,1,6,1,7,1,6,1,8,4,6,1,7,1,28,9,30,1,29,1,30,4,27,1,6,1,7,1,29,1,13,1,8,1,24,1,8,1,25,1,7,1,8,2,13,1,6,1,8,1,7,1,13,1,7,1,12,1,13,1,8,1,24,2,8,1,24,1,8,1,24,1,8,2,24,1,13,1,6,1,24,1,8,1,13,1,29,1,13,2,10,1,13,1,12,2,24,4,8,1,24,2,7,1,8,1,7,1,24,2,8,1,12,1,7,1,8,2,24,3,6,1,24,1,8,2,24,2,8,1,24,1,29,2,7,1,29,1,13,1,10,1,24,1,9,1,24,1,13,1,10,1,6,2,13,1,10,1,24,2,9,1,13,1,8,1,24,1,9,1,17,1,9,1,12,1,17,1,12,2,17,9,13,1,28,36,30,1,13,1,6,1,7,1,6,2,29,1,28,14,6,1,13,1,30,1,13,1,6,2,28,7,13,1,16,1,10,2,17,1,11,2,8,2,9,1,13,1,8,1,9,1,13,1,30,1,13,5,6,1,29,1,13,1,6,1,30,1,29,1,13,1,30,2,6,2,9,1,30,1,13,1,6,2,8,1,6,1,13,1,6,2,30,2,6,1,9,1,13,1,9,1,8,3,13,3,8,1,13,1,30,1,28,17,30,1,28,48,30,1,28,28,30,1,6,1,7,1,6,1,28,74,30,1,6,1,28,8,29,1,9,1,15,1,17,2,10,1,12,1,24,1,8,2,13,1,8,2,13,1,29,1,30,2,28,1,6,2,29,2,30,1,13,1,15,1,24,1,10,1,15,1,8,2,6,1,28,6,29,1,24,1,13,1,9,1,7,1,30,1,28,34,6,1,24,1,12,1,10,1,29,1,28,2,30,1,13,1,8,2,13,1,28,4,29,1,30,1,28,1,29,1,8,1,24,1,8,1,30,1,28,5,6,1,10,1,8,1,28,6,6,1,30,1,13,1,8,2,12,1,8,1,17,1,6,1,30,1,28,2,12,1,17,2,12,1,10,1,17,1,12,1,17,1,16,1,12,1,13,1,7,1,6,1,13,1,8,1,24,1,8,1,13,2,9,1,11,1,9,1,11,2,17,1,11,1,10,1,17,1,12,2,17,1,12,1,17,1,12,1,17,2,12,1,17,1,10,1,12,3,9,1,28,17,}, {8,1,7,1,9,1,11,1,6,1,13,3,7,1,13,1,28,1,6,1,29,1,13,1,29,1,6,5,13,1,6,1,13,1,8,2,13,1,6,1,13,6,9,1,10,1,9,2,17,3,16,1,17,1,9,1,13,2,28,1,29,1,28,3,13,1,24,1,9,1,24,1,13,1,29,1,28,5,13,1,24,1,8,1,13,1,6,4,28,1,30,1,28,5,6,1,13,1,24,2,28,42,30,1,28,2,6,1,29,1,13,2,30,1,8,2,28,2,30,1,29,1,13,1,17,2,9,1,10,1,13,1,8,3,6,1,13,2,29,1,13,1,6,1,28,2,29,1,28,1,6,1,30,1,6,2,8,1,12,1,6,2,29,1,28,1,30,1,29,1,13,1,10,1,17,1,11,1,9,1,11,1,8,1,10,1,13,2,9,1,24,1,9,1,13,1,9,1,8,1,9,2,13,1,30,1,6,1,28,1,6,1,28,32,30,1,28,2,29,1,30,1,6,1,29,1,30,1,24,1,8,1,10,1,6,1,28,2,30,1,28,1,30,1,9,1,10,1,8,1,24,1,12,1,9,2,8,1,13,1,6,1,7,1,29,1,13,1,6,3,7,1,6,1,28,1,6,2,7,1,6,1,13,1,9,1,12,3,17,2,12,1,8,1,28,14,13,1,6,2,29,1,28,1,29,1,28,2,30,1,28,1,6,1,30,2,28,1,30,2,28,1,13,1,28,1,30,1,29,1,30,2,28,2,6,1,28,1,29,1,28,1,30,2,29,1,30,1,28,1,30,3,6,1,30,2,6,2,29,1,6,1,29,1,13,1,6,1,29,1,13,1,28,1,6,1,7,1,30,1,6,2,28,1,30,2,29,1,7,1,30,1,28,1,29,1,6,2,30,2,28,1,6,2,7,1,28,1,7,1,28,1,7,1,29,1,6,1,30,1,6,1,7,1,30,1,28,1,30,1,6,1,28,1,6,1,29,1,30,1,28,1,30,2,29,1,30,1,13,1,6,1,13,2,29,1,13,1,28,1,6,2,13,1,30,1,13,1,30,1,7,2,13,2,6,1,13,1,6,1,28,1,7,1,6,1,13,1,29,1,13,2,6,2,7,1,13,4,6,1,13,1,7,1,6,2,13,1,29,1,6,2,29,1,30,1,13,1,6,1,13,1,8,2,13,2,6,1,13,1,6,1,13,2,6,1,13,1,29,1,8,1,9,1,8,1,9,4,8,1,9,1,6,2,30,3,6,1,29,1,30,2,29,1,30,1,7,1,30,1,7,1,29,1,8,1,13,1,6,2,8,1,6,1,13,2,9,5,13,1,9,1,6,1,8,1,9,1,8,2,13,1,8,1,6,1,9,1,8,1,9,1,11,1,8,1,12,1,9,2,12,1,13,1,8,1,13,1,10,1,16,1,11,1,16,3,17,1,16,1,11,1,16,6,11,1,16,1,11,1,9,1,11,1,9,1,11,1,17,1,9,1,16,1,10,1,16,1,10,1,9,1,11,1,16,1,17,1,11,2,9,1,11,1,9,3,11,1,9,1,11,1,9,4,11,2,9,1,10,1,9,1,11,1,9,2,11,2,9,1,10,1,11,1,9,2,16,1,11,1,16,1,9,1,17,1,11,2,9,1,16,1,17,1,11,1,9,1,11,1,16,3,9,1,11,1,9,1,11,1,16,1,17,24,12,1,17,2,9,1,13,1,28,1,8,1,12,1,17,1,11,2,17,1,11,1,16,2,17,1,9,1,11,1,8,1,9,1,10,1,8,1,11,1,9,1,8,2,13,2,6,1,30,1,29,2,28,1,6,1,28,2,30,1,29,1,28,2,29,2,28,6,29,1,28,1,30,1,29,2,6,2,29,1,28,1,6,1,29,1,28,1,6,1,29,2,6,1,30,2,28,1,6,1,28,1,6,1,30,1,28,1,6,1,28,1,30,1,7,1,6,2,13,1,8,1,29,1,6,2,8,2,9,1,8,1,13,1,9,1,24,1,9,1,12,1,10,1,16,1,17,1,16,2,11,2,9,1,11,1,9,2,11,2,8,1,11,1,9,2,10,2,9,5,11,1,9,7,13,1,9,2,11,1,9,2,8,1,9,6,11,2,9,3,16,1,8,1,9,1,8,1,9,2,11,2,9,4,10,1,9,2,11,1,16,1,9,1,16,1,11,1,9,1,16,2,11,1,10,1,16,2,11,2,16,1,10,1,11,3,9,1,11,1,9,2,11,2,16,1,17,1,16,2,17,1,16,1,17,3,16,3,17,1,16,1,17,1,11,1,16,1,17,1,11,1,17,9,16,1,17,2,16,1,17,4,16,1,17,1,11,2,17,2,11,1,8,1,16,1,17,4,16,1,6,1,10,2,9,3,13,2,9,1,13,1,9,3,8,1,13,1,9,1,8,2,9,1,13,1,9,2,13,1,8,1,13,1,9,1,8,1,9,2,13,1,12,1,8,1,13,2,11,2,8,1,9,3,11,1,9,4,12,1,8,1,9,5,24,1,8,1,13,1,9,1,24,3,7,1,13,1,8,1,13,1,8,1,24,1,8,1,13,1,7,1,8,2,13,1,17,1,12,1,11,1,16,1,17,2,16,1,17,4,16,2,11,1,10,1,9,1,16,3,17,1,11,1,16,1,17,2,11,2,16,1,11,2,17,1,11,1,17,1,11,1,17,2,16,1,9,1,10,1,24,1,10,1,11,1,9,1,24,1,9,1,24,1,13,1,24,2,8,1,7,1,13,2,7,1,30,1,6,3,30,2,28,4,30,1,28,3,30,1,28,1,29,1,9,1,10,1,9,2,10,1,16,2,17,2,11,1,17,3,9,1,8,1,9,2,11,1,17,2,10,1,9,5,11,1,16,2,11,1,13,1,30,2,28,5,29,2,28,1,6,1,30,1,29,1,30,1,6,1,28,10,6,1,9,1,13,1,12,1,9,1,8,1,24,2,7,1,12,1,8,1,17,1,9,1,28,13,30,1,6,1,13,2,9,1,11,1,16,1,11,3,16,2,13,1,9,1,13,1,9,1,13,1,9,1,13,2,8,1,9,1,6,1,30,5,29,1,30,2,28,1,30,1,28,1,30,1,6,1,30,5,28,1,29,1,30,1,29,2,6,1,30,2,6,4,13,1,7,1,30,3,28,1,30,6,28,4,30,2,28,2,30,1,28,3,30,4,28,1,30,2,6,2,30,1,6,1,28,1,30,5,6,1,30,2,6,3,30,1,6,2,30,1,6,1,30,2,7,1,30,1,6,2,30,2,6,1,29,1,6,1,30,2,13,1,6,2,30,1,6,4,30,1,13,1,30,3,6,2,30,1,6,1,30,1,6,4,13,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,2,7,1,6,2,30,1,6,1,28,1,29,1,30,2,13,1,6,2,30,1,6,1,30,3,6,2,30,1,6,1,29,1,7,1,13,1,6,1,13,1,6,3,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,2,28,1,30,2,6,1,30,3,28,1,30,1,28,2,30,7,28,1,30,1,29,1,30,14,6,1,30,1,6,1,30,1,29,1,28,1,30,2,29,1,30,2,28,1,30,5,6,1,30,1,28,1,30,1,28,1,30,4,13,2,30,1,6,1,30,2,6,3,30,1,6,4,30,1,6,1,13,1,30,1,6,1,30,1,6,4,29,1,30,4,6,1,30,1,6,1,30,1,28,2,30,1,28,1,6,3,29,1,6,2,28,1,6,1,30,4,28,1,30,2,6,2,28,1,6,1,30,1,13,1,7,1,6,1,13,1,30,1,6,1,28,1,6,2,29,1,6,7,7,1,6,1,13,1,6,4,30,2,28,1,6,1,7,1,30,2,6,2,30,1,7,1,13,2,29,1,6,1,28,1,30,2,6,1,29,1,12,1,8,2,9,1,24,1,11,1,17,1,12,1,9,1,12,2,9,2,12,1,10,1,12,1,11,1,12,3,17,5,24,1,9,1,10,1,9,1,12,1,9,1,17,1,9,1,28,14,6,1,13,1,7,3,13,1,8,3,29,1,28,1,29,1,28,2,6,1,28,1,30,2,28,3,30,2,28,1,6,1,29,1,13,1,7,2,9,1,28,42,6,1,8,2,6,2,30,2,28,20,30,1,28,38,30,1,28,8,29,2,28,3,6,1,28,2,30,1,28,2,30,2,28,1,29,1,6,1,30,2,6,2,29,1,28,1,6,1,25,1,29,2,25,1,29,1,6,1,29,1,28,1,6,1,29,2,30,1,6,2,30,2,6,1,7,1,6,4,7,1,6,1,29,1,25,1,30,1,7,1,30,1,6,1,25,1,6,1,29,1,25,1,6,1,7,1,6,1,24,1,25,2,8,1,10,1,25,1,24,1,8,1,24,1,8,1,24,1,8,1,24,4,8,1,24,3,12,1,8,1,24,4,13,1,7,1,10,1,8,1,6,1,8,2,7,2,25,1,29,1,6,1,25,1,27,1,29,1,27,1,25,1,6,1,24,1,25,5,8,1,12,1,13,1,24,1,7,1,12,1,9,1,10,1,8,1,9,1,8,1,9,1,12,2,17,1,12,2,24,1,12,2,17,1,10,1,12,1,13,1,10,1,17,1,12,1,9,1,17,2,12,1,10,1,12,1,24,1,13,1,8,1,13,1,24,1,13,1,7,4,25,1,29,1,6,1,27,1,25,1,29,1,25,1,28,1,6,1,29,1,30,1,29,1,6,1,30,1,28,1,6,1,29,1,26,1,25,1,8,1,25,1,6,1,13,2,6,1,30,1,28,7,30,3,29,1,6,2,29,1,25,1,29,1,7,1,8,1,24,3,8,1,24,1,13,1,8,2,24,1,13,1,24,2,10,1,24,2,8,2,13,1,24,1,13,1,24,1,9,1,13,1,8,1,13,1,10,1,24,1,8,2,24,1,12,1,13,1,24,2,10,1,8,1,24,1,10,1,12,1,9,1,8,1,10,1,12,1,13,1,8,1,10,1,24,1,13,2,8,1,13,1,8,1,10,1,7,1,13,1,8,1,24,1,25,1,24,1,25,1,8,1,13,1,24,2,25,1,24,1,29,2,8,3,13,2,28,1,6,1,29,1,13,1,9,1,24,1,8,1,9,1,13,1,8,1,9,1,24,1,12,1,10,1,8,1,11,1,10,1,12,1,11,1,17,11,29,1,28,36,13,3,28,1,29,1,30,1,28,13,30,2,13,1,7,1,29,1,7,1,6,1,30,1,28,6,6,1,9,3,17,2,11,1,9,1,13,2,9,1,13,3,6,1,13,2,6,2,13,1,6,1,29,1,6,2,13,2,29,1,6,1,30,1,6,1,13,1,8,1,6,2,30,1,8,1,13,1,28,2,7,3,13,1,30,1,6,1,13,1,8,1,13,2,8,1,13,1,6,2,13,3,28,16,30,2,28,72,30,2,28,3,6,1,29,1,30,1,13,1,28,74,29,1,6,1,28,1,30,2,28,6,30,1,10,1,17,1,11,1,12,1,17,1,8,1,13,1,7,1,6,1,13,1,24,1,8,1,30,1,7,2,6,1,29,1,30,1,6,1,7,1,6,1,7,1,13,1,10,1,11,1,15,1,10,1,12,1,13,1,29,1,28,6,13,1,9,1,8,1,13,1,6,1,30,1,28,34,7,1,9,1,10,1,6,1,29,1,28,1,30,1,6,1,8,3,29,1,6,1,28,4,29,1,7,2,13,1,8,1,11,1,7,1,28,5,6,1,7,1,24,1,28,3,30,1,28,1,6,1,29,1,7,1,13,2,9,3,15,1,8,1,29,1,28,1,13,1,12,2,17,3,11,1,17,3,12,1,9,1,24,1,13,1,6,1,7,1,13,1,8,1,13,3,9,1,11,1,17,3,16,1,11,1,17,1,12,1,17,5,12,3,16,1,17,4,10,1,6,1,28,16,}, {6,1,30,1,10,1,13,5,6,2,30,1,6,1,30,1,29,1,6,1,29,2,7,1,6,2,29,1,13,5,8,1,13,4,8,4,9,1,10,1,17,4,9,1,16,1,6,1,13,1,30,1,28,1,30,1,28,2,6,1,13,1,24,1,10,1,13,1,30,1,28,1,29,1,28,3,8,1,9,1,8,1,13,1,8,1,6,4,30,1,28,5,6,1,13,1,9,1,13,1,28,43,29,1,28,1,7,1,6,2,8,2,24,1,12,1,13,1,29,1,28,1,7,1,6,1,11,1,17,1,9,1,13,3,9,1,7,1,8,1,7,1,6,1,13,1,6,1,29,1,6,1,30,1,28,3,6,1,30,1,13,1,24,1,8,1,24,1,6,1,29,2,28,2,30,1,11,1,17,2,10,1,16,1,9,2,24,2,11,1,24,1,6,1,13,2,7,1,9,1,10,1,6,2,30,2,28,1,30,1,28,35,6,1,29,1,7,1,6,2,8,1,13,1,6,1,30,1,28,3,29,1,24,1,10,1,24,1,10,1,9,1,10,1,24,2,8,2,29,1,7,1,6,1,30,1,13,1,6,1,7,1,28,3,30,3,24,1,9,1,17,2,12,1,17,2,14,1,13,1,28,14,30,1,29,1,8,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,29,1,13,1,30,1,13,1,6,2,29,1,30,1,28,3,6,1,28,1,6,1,30,2,28,1,30,1,13,1,30,1,29,1,6,1,30,3,6,1,28,1,6,4,30,1,6,1,30,1,28,1,13,1,28,1,6,2,30,1,6,1,7,1,28,2,30,1,6,1,28,1,30,1,29,1,28,1,30,1,6,2,30,2,28,1,6,1,30,1,28,1,29,1,30,1,6,2,28,1,6,2,30,1,6,1,28,1,13,1,30,1,7,1,6,1,30,2,28,1,30,1,28,1,6,1,30,2,6,2,28,1,30,1,6,1,13,1,7,1,29,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,29,2,6,1,13,1,6,1,13,1,6,1,7,1,29,1,6,2,9,1,29,1,8,1,6,1,13,1,8,1,29,1,7,1,6,2,8,1,7,1,13,2,6,2,7,1,30,1,6,2,7,1,13,1,6,1,29,1,8,1,6,2,13,1,29,1,13,1,6,1,7,1,13,1,8,4,9,1,8,1,10,2,30,2,29,1,28,1,6,1,30,3,28,1,6,1,30,1,6,1,8,1,9,1,30,1,8,1,29,1,6,1,7,1,13,1,6,1,8,1,13,1,6,1,9,1,13,1,7,1,9,1,13,1,8,1,9,1,24,1,9,2,13,1,9,1,13,1,9,2,13,1,10,2,8,1,9,1,17,1,11,1,9,1,13,2,7,1,9,1,17,1,16,1,11,1,16,4,11,1,16,2,11,2,16,6,11,1,10,1,16,2,10,1,16,3,11,2,10,1,11,2,10,1,11,1,9,4,10,1,9,1,10,2,9,2,11,2,10,1,9,5,16,1,11,2,9,1,11,2,10,1,16,1,11,1,16,1,9,1,16,1,9,1,11,2,16,1,11,2,17,1,16,2,10,1,16,1,9,1,11,1,10,1,17,1,11,1,16,2,17,11,16,1,17,9,16,1,12,1,17,2,16,1,11,1,13,1,8,1,30,1,7,1,11,1,17,3,16,1,12,1,17,1,16,1,9,1,16,1,11,2,10,1,8,1,13,2,24,1,8,2,24,1,6,2,13,1,7,1,29,1,30,1,28,1,30,3,28,1,29,1,28,6,29,1,6,1,28,2,30,1,28,1,29,1,6,1,30,1,28,1,7,1,28,2,30,3,28,1,6,1,30,2,29,1,28,1,30,2,28,1,6,1,28,1,6,2,28,1,29,2,13,1,8,1,7,1,6,1,7,1,6,1,8,4,13,1,9,1,8,2,9,2,17,3,16,1,11,2,9,1,11,1,16,1,9,1,11,1,9,2,11,1,9,2,11,1,9,1,8,1,9,1,11,1,9,1,11,1,9,2,8,1,9,1,10,1,9,3,10,1,9,1,13,1,9,3,10,1,9,1,16,1,11,3,9,1,11,1,16,1,11,1,9,1,11,3,8,1,9,1,11,1,9,1,10,1,9,2,11,1,8,1,11,2,9,1,11,1,10,1,9,2,11,1,9,1,11,1,16,2,11,1,16,1,11,1,16,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,17,5,16,5,11,1,17,3,16,2,17,1,11,1,17,1,16,1,17,17,16,1,17,2,16,1,17,1,16,2,17,3,16,1,17,2,9,1,8,1,11,1,8,1,11,1,8,1,13,2,9,1,6,1,9,1,8,1,6,1,9,1,8,1,11,1,8,1,9,1,13,1,9,1,13,1,10,1,8,2,6,1,8,1,9,1,13,1,9,2,13,2,9,1,11,1,8,1,9,1,8,1,9,3,11,2,9,1,12,1,10,1,9,6,8,1,24,1,7,1,11,1,13,1,9,3,13,1,6,1,13,1,7,1,13,1,6,1,13,3,24,1,13,1,8,2,9,1,12,1,17,3,16,2,17,2,16,1,17,2,11,1,17,1,16,1,11,2,9,1,11,1,16,1,17,3,16,2,11,3,9,1,17,1,11,1,10,1,11,1,16,1,9,1,11,1,12,1,9,3,24,1,13,1,9,1,13,1,24,1,13,1,9,1,29,1,13,2,6,1,29,1,7,1,29,1,6,1,29,1,30,2,29,1,28,1,6,1,28,8,30,1,24,1,10,1,9,1,11,1,17,7,11,1,17,2,7,1,9,1,13,1,17,1,16,1,17,1,11,3,9,2,11,2,10,1,17,1,11,1,13,1,30,1,28,7,30,1,28,3,30,1,28,13,24,1,8,1,24,1,17,1,8,1,13,1,24,2,9,1,13,1,11,1,17,1,28,4,30,1,28,7,30,1,7,1,6,3,13,1,11,3,16,2,11,2,13,7,9,1,13,1,9,1,30,1,6,1,30,7,6,1,28,2,6,1,30,2,6,2,28,1,6,3,28,1,30,1,6,2,30,1,6,3,29,1,6,1,13,1,6,2,29,3,28,1,30,3,28,1,30,2,28,1,6,1,30,1,28,1,30,1,6,1,30,5,28,1,30,4,6,1,29,1,30,3,29,1,6,1,30,2,6,1,30,3,6,10,7,1,29,1,6,2,29,1,30,1,6,2,30,1,6,1,30,1,6,1,30,4,6,2,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,3,30,2,6,1,28,2,30,1,6,1,30,2,6,3,30,1,13,1,6,2,30,1,6,1,30,1,6,1,30,2,13,1,30,2,6,1,30,1,6,2,30,1,6,3,7,1,6,1,30,2,6,1,30,2,29,1,6,1,30,1,6,1,30,2,6,2,30,2,6,1,28,1,6,2,30,1,6,2,30,2,6,1,30,1,28,1,30,4,29,1,28,1,30,1,6,1,28,1,30,3,6,1,30,1,6,1,30,1,6,1,28,1,30,3,6,1,30,1,29,1,6,4,30,4,6,1,28,1,30,8,6,1,30,4,28,1,30,4,28,2,6,2,30,2,29,1,30,1,6,1,30,1,6,2,30,1,6,3,13,1,7,1,30,1,6,1,13,1,6,2,30,2,28,2,29,1,28,1,6,1,28,1,29,1,6,2,30,2,6,1,30,1,6,1,28,1,30,3,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,2,30,1,6,4,30,1,6,1,30,1,6,2,7,1,6,3,30,1,6,2,7,1,13,1,7,1,6,1,30,1,6,1,13,1,6,1,13,1,6,2,30,1,6,1,29,1,6,4,30,1,6,2,13,3,28,1,30,2,29,1,6,2,13,1,24,1,12,1,8,1,7,2,9,1,12,1,10,1,24,2,9,1,10,2,24,1,9,2,10,1,9,1,24,1,17,1,24,1,12,2,17,1,10,1,24,2,9,1,8,1,12,1,7,1,9,1,12,1,17,1,29,1,28,9,30,2,13,2,8,1,7,2,29,1,13,1,24,1,8,1,13,2,6,1,30,1,28,1,30,1,28,4,30,1,28,3,30,2,6,3,7,1,8,1,13,1,28,44,8,1,13,2,28,16,30,2,28,4,30,1,28,1,29,1,30,1,28,2,29,1,28,45,29,1,28,6,30,3,29,2,6,1,29,3,30,2,6,1,30,1,7,2,6,1,30,1,29,1,6,1,29,2,6,2,29,1,6,1,7,1,6,1,29,1,6,1,30,3,28,1,29,1,7,1,6,2,13,1,29,1,6,1,29,1,7,2,30,1,25,2,8,1,25,2,8,4,25,1,24,2,12,1,13,1,24,1,8,1,24,1,8,2,12,1,17,1,10,1,13,1,12,1,10,1,8,2,24,1,13,1,24,4,8,1,13,1,8,1,6,1,8,1,25,3,6,1,28,1,27,1,29,1,8,1,29,1,27,2,25,3,8,2,25,1,8,1,24,1,8,1,13,1,8,1,24,1,8,1,24,2,8,3,12,7,17,3,12,1,9,1,17,3,9,1,12,3,9,1,12,1,10,1,13,1,8,2,24,1,8,1,7,2,8,2,29,1,6,2,27,1,26,1,29,1,25,1,29,4,7,1,30,1,29,1,6,2,28,1,26,1,29,2,6,1,25,1,8,1,6,2,29,1,28,8,29,1,30,1,29,1,30,1,26,1,29,1,25,1,7,1,25,1,24,1,7,1,24,1,13,1,24,1,7,1,8,1,13,1,8,1,7,1,24,2,8,1,24,1,9,1,8,2,24,1,8,1,24,1,8,2,24,3,13,2,10,1,9,1,12,1,13,1,24,1,6,1,24,1,12,1,8,1,12,1,24,1,17,1,24,1,12,1,10,1,12,1,8,1,13,1,24,2,8,1,7,1,24,1,8,1,24,2,7,1,10,1,24,1,7,1,24,1,7,1,24,2,8,1,6,1,24,1,6,1,24,1,7,1,6,1,13,2,10,1,13,1,30,2,6,3,8,1,7,1,24,3,9,3,10,1,8,1,10,2,9,2,10,1,12,1,11,1,17,2,12,1,17,7,28,36,30,1,13,3,6,1,30,1,28,13,13,5,6,1,13,1,28,7,9,3,11,1,10,1,17,1,12,1,17,1,9,2,13,2,9,1,13,3,30,2,13,1,30,1,13,1,30,1,6,1,13,1,6,1,30,1,6,1,7,1,13,2,30,2,7,1,6,2,13,1,6,1,28,1,13,2,6,1,30,1,7,1,13,1,30,1,8,1,13,2,9,1,8,1,13,1,30,1,13,1,8,1,13,2,30,1,28,17,30,2,28,1,30,2,28,71,30,1,28,79,30,1,7,1,30,2,28,7,30,1,13,1,17,1,15,1,17,1,9,1,13,2,8,1,13,1,24,1,8,1,13,1,6,2,28,1,30,1,28,1,6,1,29,1,6,2,8,1,24,1,9,1,15,2,9,1,24,1,9,1,29,1,28,6,6,1,9,2,13,1,29,1,28,35,8,2,12,1,13,1,30,2,28,1,13,1,6,1,8,1,9,1,6,1,30,1,28,4,6,1,7,1,24,1,10,1,24,2,7,1,28,5,6,1,9,1,13,1,28,3,6,1,28,2,6,2,13,2,9,2,11,1,24,1,8,1,28,2,6,1,17,1,16,1,10,1,8,2,9,1,12,1,16,1,11,1,14,1,9,1,24,1,13,1,8,1,7,1,13,1,11,1,8,1,9,2,8,1,10,1,12,1,9,1,8,1,10,1,11,2,12,1,16,1,17,1,11,1,17,1,10,1,12,2,17,1,11,1,10,1,17,3,13,1,30,1,28,16,}, {6,1,7,1,13,2,29,2,7,1,6,1,30,1,29,1,30,1,29,1,6,1,28,1,6,2,30,2,6,1,29,1,6,1,7,1,13,1,9,2,13,1,7,1,9,1,13,2,8,1,9,1,13,1,7,1,8,1,9,1,10,1,16,1,17,2,16,1,17,1,12,1,13,1,8,1,30,2,28,1,30,1,28,1,6,1,7,1,8,2,13,1,6,1,28,4,30,1,6,1,10,1,24,1,13,1,9,1,6,1,29,1,6,1,28,7,29,1,7,1,13,1,24,1,28,42,30,1,28,2,29,1,30,2,13,2,8,1,11,1,6,1,28,1,30,1,6,2,9,1,17,2,13,1,8,1,6,2,7,1,13,2,6,3,13,1,28,5,30,1,6,1,7,1,8,1,16,1,6,1,13,1,6,3,30,1,28,1,17,2,10,1,12,1,10,1,9,1,11,2,8,1,9,1,13,1,8,1,24,1,6,1,9,3,13,1,6,1,30,1,6,1,28,1,13,1,28,34,29,1,30,1,29,1,6,1,13,1,6,1,7,1,13,1,6,1,30,1,28,2,29,1,28,1,8,1,24,2,9,1,24,1,10,1,24,1,8,1,13,1,7,1,13,1,30,2,6,1,7,1,6,1,24,1,28,1,7,1,6,1,29,1,6,2,8,2,17,1,12,1,16,1,17,2,15,1,8,1,28,14,30,4,29,1,6,1,28,3,30,2,28,1,6,1,30,1,6,3,30,1,28,1,6,1,28,1,6,1,30,1,28,2,6,1,28,1,30,2,28,2,6,1,30,1,28,1,29,2,6,1,30,1,29,2,6,1,28,2,30,1,6,1,30,1,29,1,6,1,28,1,13,1,28,2,30,1,6,1,28,1,29,1,28,1,30,1,6,1,29,1,6,1,28,1,6,1,29,1,30,1,28,1,7,1,6,1,30,2,6,1,30,1,6,1,28,1,13,1,28,1,7,1,28,1,30,2,28,2,6,1,29,1,6,1,29,1,30,1,6,1,28,2,30,2,29,2,30,2,29,1,13,1,6,1,13,1,30,1,13,1,6,1,8,1,6,4,8,1,7,1,13,1,6,1,13,1,6,1,13,2,6,3,8,1,6,3,13,2,8,1,6,2,13,1,7,2,8,1,30,2,7,2,6,1,29,1,6,1,29,2,6,1,13,1,6,1,13,2,7,1,13,7,8,1,9,1,13,1,11,1,9,1,17,1,8,1,13,1,7,1,30,1,28,1,29,1,6,3,29,3,13,1,7,1,6,1,8,1,6,1,8,1,7,2,6,1,13,1,6,1,13,2,8,1,24,1,13,2,9,1,8,1,13,1,8,1,9,1,10,1,13,1,9,1,8,1,13,1,9,2,8,1,9,2,10,1,13,2,16,1,11,1,13,3,9,1,16,5,11,1,10,1,16,4,11,2,16,1,11,2,16,1,11,2,16,1,11,5,16,1,9,1,11,1,10,1,16,2,11,1,9,1,11,1,9,4,13,1,16,1,9,2,16,1,11,1,9,2,11,1,16,1,9,1,16,1,11,2,9,1,11,1,16,1,9,1,10,1,9,1,16,1,11,1,16,1,11,1,10,1,16,1,11,1,16,1,9,1,16,1,17,1,16,1,17,1,16,1,11,1,9,1,16,3,9,1,16,2,11,1,17,28,9,1,6,1,29,1,9,1,17,1,11,1,16,1,17,2,11,1,17,1,11,1,10,2,8,1,11,1,13,1,10,1,8,2,13,1,9,1,13,1,7,2,6,2,29,2,30,1,29,1,28,1,30,1,28,1,29,1,28,2,30,2,29,1,28,1,29,1,28,1,29,1,30,1,29,1,28,3,30,1,28,1,6,1,30,1,28,1,30,1,29,1,6,1,13,1,6,1,7,1,29,1,6,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,29,1,8,1,29,1,6,1,30,1,8,1,6,1,13,1,8,1,13,1,24,2,13,1,9,1,8,1,9,1,13,1,10,1,17,4,9,1,16,1,11,3,9,1,16,1,9,2,11,1,9,1,11,2,13,1,9,2,11,1,13,1,11,1,13,2,11,1,8,1,9,1,11,1,9,3,11,1,9,2,11,1,9,3,13,1,9,1,11,1,9,1,11,3,9,3,11,1,9,1,11,3,8,1,9,2,16,1,9,3,11,3,16,1,11,1,16,1,11,2,16,1,11,1,16,2,11,4,9,1,10,1,16,3,11,1,17,3,11,1,16,1,17,3,16,2,17,1,16,3,17,3,11,1,17,1,16,1,17,8,16,1,17,12,16,1,17,5,11,2,16,1,10,1,17,1,16,1,17,2,9,1,17,2,9,1,13,3,8,2,13,1,9,1,8,3,9,4,13,1,9,6,13,1,7,1,13,2,8,1,9,2,11,1,9,1,13,2,9,1,11,1,9,1,8,1,9,4,13,1,9,1,10,1,17,1,9,1,8,1,6,1,13,1,9,1,8,1,10,1,9,1,8,3,13,1,24,1,13,1,24,1,6,1,13,2,7,1,8,1,6,1,7,1,24,1,8,1,11,1,17,1,16,1,17,3,16,3,17,3,16,1,11,1,16,1,9,1,16,1,9,2,11,1,16,1,11,1,17,1,9,1,17,1,16,1,17,1,9,3,12,1,11,1,10,1,9,1,12,1,11,1,9,2,11,1,8,2,13,1,24,1,9,1,13,1,8,2,13,1,29,1,6,1,13,1,6,1,13,1,29,1,6,1,29,1,6,1,28,1,27,1,28,1,30,1,28,9,8,1,24,1,8,1,10,1,11,1,17,8,16,1,9,2,13,1,16,1,11,1,17,2,11,2,10,1,9,2,11,1,16,1,17,1,9,1,8,1,6,1,28,25,7,1,8,2,24,1,8,1,24,1,9,1,8,3,9,1,17,1,8,1,28,3,30,1,28,7,13,1,6,1,30,1,6,2,13,1,9,1,16,6,9,1,13,1,9,2,13,5,9,1,7,1,30,6,6,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,2,28,1,30,2,6,1,30,1,6,3,30,1,6,2,13,1,7,1,13,1,6,2,29,1,30,1,28,1,30,1,29,1,30,1,6,1,28,1,30,5,28,4,30,2,28,1,30,3,28,1,30,2,6,1,28,1,30,1,29,1,30,2,6,2,28,1,6,1,30,1,6,4,30,1,6,6,30,1,6,2,30,3,28,1,13,1,6,7,30,6,6,1,30,3,6,1,30,1,6,1,30,1,6,1,29,1,13,1,6,1,29,1,30,1,6,2,30,1,29,1,6,1,30,2,6,3,30,1,6,1,30,1,7,1,30,1,13,2,6,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,4,30,1,29,1,30,2,7,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,28,1,6,2,30,1,6,1,29,1,6,1,30,1,7,1,6,2,30,1,6,1,30,2,29,1,30,2,29,1,30,1,6,1,30,2,28,1,30,2,28,1,6,1,30,3,6,1,28,1,30,1,6,1,30,5,7,1,30,2,6,1,30,4,6,1,30,2,28,1,30,1,28,1,30,1,29,1,6,1,30,1,7,1,28,1,30,4,28,1,6,1,28,1,6,1,30,3,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,3,13,2,6,1,13,2,6,2,30,2,6,2,29,1,28,1,30,1,29,1,28,1,30,1,28,1,6,1,28,1,30,4,28,1,30,3,6,1,30,1,6,1,30,4,6,1,30,1,6,2,29,1,7,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,7,1,6,2,29,1,6,1,30,1,6,1,7,1,30,1,6,1,7,1,13,1,6,1,13,1,29,1,6,2,30,1,6,1,28,1,6,1,30,1,6,4,28,1,13,4,28,1,30,1,6,2,30,1,28,1,8,1,13,2,28,2,30,1,29,1,7,1,13,1,10,1,13,1,7,1,6,1,7,3,8,1,24,2,9,1,10,2,9,1,10,1,24,2,9,1,24,2,8,2,7,1,10,1,8,1,10,1,12,1,28,7,29,1,30,1,8,1,13,4,28,1,30,1,29,2,7,3,24,1,8,2,6,1,28,5,29,1,28,4,29,1,6,4,8,1,28,45,13,1,9,1,8,1,6,1,28,1,29,1,28,6,29,1,28,8,30,4,28,2,30,2,28,1,30,1,28,43,30,1,28,1,29,1,6,1,29,1,28,2,30,2,28,1,30,1,29,1,6,1,30,1,6,1,29,1,30,1,6,4,30,1,28,1,6,1,30,1,6,4,30,1,6,1,7,1,28,1,6,1,28,1,6,1,7,1,30,1,8,1,30,2,8,1,6,1,29,1,7,1,30,1,6,1,28,1,25,2,8,1,30,1,29,1,25,1,7,1,8,1,24,1,6,1,24,1,8,2,25,2,24,1,8,5,24,4,12,1,8,2,12,1,24,2,8,1,10,1,24,2,8,1,24,1,7,1,24,3,7,1,25,3,7,1,25,2,30,1,6,1,28,1,25,1,26,2,25,5,8,1,25,1,8,2,24,1,8,1,10,1,13,1,8,1,24,1,13,1,24,1,13,1,12,1,9,1,10,1,17,1,12,1,24,1,10,1,12,2,17,1,12,2,10,1,12,2,17,2,10,1,12,2,10,3,24,1,13,1,8,1,7,1,24,1,7,2,24,1,8,1,25,1,29,1,25,1,6,1,25,1,27,1,6,1,25,1,29,1,6,1,28,1,30,1,29,1,28,2,6,1,27,1,26,1,6,1,26,1,25,1,8,1,6,1,13,1,30,2,28,8,30,1,29,2,30,1,29,1,6,2,25,2,13,1,8,2,24,1,13,2,24,2,8,1,24,1,8,1,7,1,24,1,8,2,10,1,24,1,8,1,24,1,8,1,13,1,8,1,13,1,12,1,8,1,24,1,8,1,24,3,10,1,9,2,12,1,9,1,10,1,12,1,17,1,12,1,17,1,24,1,12,2,8,1,24,1,13,1,24,2,6,1,24,1,8,1,13,1,24,1,8,1,6,1,7,1,24,1,12,1,13,1,24,1,13,1,6,1,13,1,6,1,7,2,6,1,24,1,8,1,10,1,7,1,30,1,6,1,29,3,13,4,6,1,8,2,9,3,12,2,10,1,17,1,11,2,9,1,17,10,12,1,28,36,9,1,13,3,7,1,28,12,6,1,13,2,29,1,7,1,28,1,13,1,6,2,28,7,9,2,11,1,9,1,12,1,17,2,10,1,13,1,9,1,10,1,13,6,6,1,13,1,6,1,13,1,29,1,6,1,29,1,6,1,13,1,6,1,13,1,30,1,13,2,6,1,7,1,13,1,30,1,6,2,29,1,30,1,6,1,13,1,29,1,30,1,13,3,9,2,13,3,8,1,13,2,30,1,13,1,30,1,28,19,30,1,28,2,6,1,28,68,6,1,30,1,28,79,30,1,29,2,13,1,29,1,28,6,30,1,6,1,12,1,16,1,17,2,12,1,8,2,24,1,13,2,30,1,8,1,29,1,6,2,28,1,29,1,6,1,29,1,6,1,7,1,30,1,13,1,12,1,9,1,12,1,11,1,24,1,12,1,30,1,28,6,6,1,9,1,8,1,7,1,6,1,28,35,6,1,8,1,11,1,13,1,28,1,29,1,28,1,8,1,24,2,8,1,30,1,28,2,30,1,28,2,29,1,6,1,7,1,9,1,12,1,10,1,29,1,28,5,8,1,24,1,13,1,28,4,7,2,8,1,6,1,24,1,9,2,11,1,12,1,8,1,29,1,30,1,28,1,13,1,10,1,12,1,8,1,28,3,6,1,9,1,17,1,12,1,11,1,15,1,24,2,13,1,8,1,9,3,11,1,10,2,17,3,16,1,10,1,17,4,12,2,16,2,11,1,17,1,10,1,17,4,9,1,28,16,30,1,}, {13,1,7,2,13,2,7,1,30,1,7,1,6,1,28,4,6,1,29,1,6,1,13,1,6,2,30,1,13,2,7,1,9,2,13,2,8,1,13,1,8,1,7,2,13,1,8,3,10,1,17,4,16,1,11,1,13,1,6,1,30,1,28,4,29,1,7,1,13,1,8,2,29,1,28,5,30,1,9,1,8,1,24,1,7,1,6,1,30,1,28,1,30,1,28,6,13,1,6,1,13,1,24,1,29,1,28,41,30,1,28,1,30,2,29,1,6,1,8,1,13,1,9,1,24,1,6,1,28,2,29,2,8,1,17,1,13,1,6,1,8,3,13,1,6,1,13,1,6,1,13,1,8,1,13,1,6,1,28,2,29,1,28,1,6,2,7,1,8,1,12,1,7,1,13,1,7,1,13,1,28,1,6,1,13,1,17,1,12,2,17,1,16,1,11,2,8,1,24,1,13,2,9,1,8,1,6,1,7,1,24,2,9,1,28,1,30,1,28,1,29,1,6,1,28,1,30,1,28,32,6,1,29,1,13,1,30,1,29,1,30,1,13,2,6,1,28,3,6,1,13,1,7,1,12,1,9,1,24,2,8,2,9,1,13,1,6,1,8,1,30,1,6,1,7,1,30,1,13,2,6,2,28,1,7,1,6,1,7,1,13,1,17,1,12,1,17,1,12,1,17,2,14,1,13,1,28,14,6,1,30,1,28,1,29,1,28,3,30,2,28,1,6,1,28,1,30,1,6,3,29,2,28,1,30,1,28,3,29,1,28,2,6,2,30,1,28,2,6,1,30,1,29,1,6,1,29,2,28,1,7,1,6,1,28,1,6,3,30,1,29,1,30,1,29,1,6,1,28,1,29,1,13,1,28,1,6,1,30,1,6,2,30,1,29,1,28,1,30,3,6,2,30,1,6,1,30,1,6,1,28,1,6,2,30,1,28,1,6,1,28,1,30,2,6,1,29,1,6,1,13,1,30,1,6,2,13,1,29,4,28,1,6,2,30,1,6,1,29,1,28,1,6,1,13,1,6,2,30,1,8,2,6,2,13,3,7,1,6,1,7,1,13,1,7,1,6,1,7,1,6,1,7,1,6,1,13,2,29,1,24,2,7,1,13,1,29,1,8,1,6,1,7,1,8,1,6,2,13,1,6,3,7,1,29,1,7,1,13,2,29,1,13,1,6,1,7,1,13,1,24,1,6,1,13,1,7,1,8,1,13,1,7,1,13,1,9,1,8,1,11,1,8,1,9,1,10,1,13,1,6,2,28,1,6,1,28,1,30,2,13,1,30,1,6,3,13,2,8,1,24,1,6,1,8,1,6,3,8,1,29,1,13,1,9,1,13,2,8,1,9,1,8,1,9,1,13,1,8,1,13,1,9,2,11,1,8,1,9,1,13,1,8,2,9,1,11,1,9,2,10,1,13,3,9,2,17,2,16,1,11,1,16,3,17,2,16,1,11,1,16,1,11,1,16,2,11,2,17,1,11,2,16,1,11,3,16,1,11,3,9,1,16,2,11,1,9,1,16,1,9,9,11,1,10,2,9,2,11,2,8,1,10,1,16,1,8,1,11,2,16,1,9,1,11,1,9,1,11,1,16,1,10,1,16,1,11,1,10,1,16,3,11,1,16,1,10,2,16,2,11,1,17,1,11,2,10,1,17,4,16,1,17,18,16,1,17,2,12,1,11,2,13,1,6,2,17,5,10,1,11,1,17,1,11,1,8,1,10,1,8,2,11,1,8,1,10,1,13,1,8,1,13,1,6,1,13,1,29,1,6,1,30,1,28,1,6,1,28,1,30,1,29,1,28,1,30,1,29,1,28,2,30,1,28,4,30,2,28,2,6,1,28,1,30,1,6,1,30,2,28,1,29,1,30,1,29,1,7,1,30,1,28,3,30,1,28,2,29,2,28,1,30,1,6,1,7,1,29,1,8,1,28,1,7,1,6,1,8,1,6,1,7,1,6,1,24,1,13,1,24,1,13,1,24,1,8,1,13,1,6,1,10,1,8,1,16,1,17,2,16,1,11,4,10,1,11,3,9,1,16,1,9,1,11,1,9,4,13,1,9,3,11,1,9,1,8,1,9,4,16,1,9,2,11,1,9,2,11,1,9,1,11,1,8,1,10,1,9,3,11,1,9,1,11,1,9,2,11,1,9,3,11,1,10,1,9,3,11,1,9,2,16,1,11,2,9,1,10,1,16,1,9,1,11,2,16,3,17,8,16,2,11,1,16,3,17,1,16,1,17,1,16,1,17,3,16,1,17,5,16,1,17,3,11,1,17,8,16,1,17,5,16,1,17,4,11,1,17,3,16,1,11,1,17,1,16,1,17,1,16,1,17,1,10,1,17,1,11,1,9,1,13,1,6,1,13,1,9,2,7,1,8,1,13,2,8,1,9,2,13,1,9,3,8,1,9,2,8,1,13,1,9,1,7,1,30,1,7,2,8,1,13,1,24,1,9,1,13,1,9,1,13,1,8,3,9,3,13,2,24,1,10,1,9,2,8,1,9,1,10,2,8,1,9,1,6,1,12,1,13,2,9,1,13,4,6,2,13,5,6,1,24,1,9,1,10,1,17,1,11,1,17,3,16,2,17,4,16,1,17,1,9,1,11,1,8,1,9,1,11,5,16,1,17,1,10,1,16,1,9,2,17,1,9,1,10,1,17,1,11,1,13,1,9,1,8,1,17,1,8,1,9,1,8,1,24,1,13,1,11,1,8,1,9,1,13,1,7,1,13,1,6,3,29,2,30,1,29,2,28,9,30,1,28,1,30,1,13,1,9,1,17,1,12,1,11,1,17,5,16,1,17,3,11,1,13,1,9,1,11,1,17,1,16,2,9,1,11,2,9,1,16,1,9,1,16,2,11,1,13,1,28,6,30,1,28,20,8,1,9,1,10,1,24,1,8,3,24,2,29,1,17,1,16,1,28,3,30,2,28,6,30,1,6,1,7,1,28,1,6,1,13,2,11,3,16,1,9,1,16,1,11,1,9,1,13,1,9,2,13,1,7,1,30,1,13,1,11,1,30,8,28,1,30,4,28,1,6,4,30,2,6,1,30,2,29,1,6,1,29,1,6,1,13,1,6,3,13,1,6,1,30,5,28,1,30,1,29,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,3,28,1,30,3,29,1,6,1,30,2,6,5,28,1,6,1,29,1,30,1,6,2,29,1,30,1,6,2,29,1,6,2,30,2,29,1,6,1,29,1,28,1,6,1,30,2,29,1,6,1,30,1,6,1,28,1,30,1,6,9,30,1,6,3,30,1,6,3,29,1,30,1,29,1,6,1,30,1,6,6,30,1,6,3,30,3,6,2,13,3,30,1,6,3,30,1,6,1,13,1,6,1,30,1,6,1,30,1,6,1,29,1,6,4,30,1,6,3,13,1,6,1,30,1,6,2,29,1,30,1,29,1,6,1,28,1,29,1,6,3,30,2,6,1,30,1,13,1,29,1,6,1,30,1,28,1,30,2,7,1,29,1,6,1,30,1,29,1,6,1,30,5,29,1,30,2,28,1,6,1,28,1,30,1,29,1,30,1,6,2,30,1,28,1,6,2,28,1,29,1,30,5,29,1,30,3,28,2,30,4,6,2,30,2,28,2,30,1,6,1,28,1,30,2,6,1,28,2,30,2,29,1,30,1,6,1,29,1,6,6,30,2,6,1,30,1,7,1,13,2,30,1,6,1,28,1,6,1,30,2,28,1,30,2,28,1,6,1,30,5,29,1,28,1,30,3,6,1,30,1,6,3,29,2,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,2,28,1,30,1,6,1,13,1,6,2,13,1,30,1,6,2,30,1,6,3,13,1,29,1,6,2,13,1,30,3,6,2,30,1,29,1,30,3,13,2,9,1,13,2,30,1,6,1,7,1,6,1,30,1,28,1,7,1,6,1,28,5,30,1,13,1,8,1,6,1,30,1,28,4,30,1,28,1,6,1,13,1,7,2,6,1,29,1,30,1,8,1,7,1,9,1,8,1,13,1,24,1,7,1,8,1,13,1,24,1,10,1,13,1,28,5,6,2,13,2,30,1,6,1,7,2,6,4,13,1,7,1,13,1,8,2,24,1,7,2,29,1,28,3,30,1,28,2,30,1,28,1,6,1,29,1,6,1,7,2,29,1,28,45,6,1,10,1,9,1,13,1,6,1,30,1,29,1,30,1,28,1,30,2,28,1,30,1,28,2,29,2,28,1,29,2,30,1,28,1,27,1,30,1,29,1,30,1,28,2,30,1,29,1,28,2,30,1,28,39,30,2,6,1,7,1,30,1,28,2,30,2,28,1,6,2,30,1,28,1,6,1,13,1,29,7,6,1,29,1,25,1,6,1,28,1,6,1,28,1,29,1,30,1,13,1,30,1,7,1,13,1,7,2,6,2,29,2,8,1,30,1,6,3,28,1,30,1,25,1,30,1,6,1,28,1,7,1,25,2,6,1,7,1,25,1,24,1,25,1,8,1,7,1,24,1,8,1,7,1,8,1,7,1,8,1,24,4,12,1,10,1,24,3,10,1,7,1,24,1,7,1,10,1,8,1,10,1,24,1,7,1,24,2,25,1,8,1,25,2,8,1,25,2,24,1,6,1,30,2,6,1,25,1,27,1,25,1,29,1,26,1,6,1,29,1,25,3,8,2,24,2,13,1,8,1,24,1,9,1,24,1,17,1,8,1,12,1,10,1,12,1,24,1,17,2,12,1,17,1,12,1,17,2,12,2,17,2,12,3,10,1,12,1,10,1,24,1,7,1,13,2,25,1,10,1,7,1,25,1,6,1,24,1,7,1,25,1,6,2,26,1,30,1,25,1,29,1,27,1,30,1,28,1,25,1,29,1,30,1,6,1,29,1,30,1,27,1,30,1,29,1,25,1,26,1,8,1,30,1,7,1,6,1,30,1,28,7,29,1,28,1,6,1,29,1,6,1,29,1,8,1,29,1,24,2,7,1,13,2,24,1,8,1,24,3,9,2,24,1,10,1,24,2,8,1,24,1,8,1,24,1,13,2,8,1,12,1,13,1,24,1,7,1,13,1,12,1,9,1,12,1,24,1,12,1,10,1,9,1,17,1,10,1,17,1,9,1,10,1,12,1,17,1,12,1,17,1,24,1,17,1,24,1,12,1,10,2,13,1,7,1,8,1,9,1,24,2,6,1,7,1,6,1,8,1,24,2,8,1,24,1,6,3,30,1,6,1,8,1,13,2,6,3,7,1,13,1,29,1,13,2,24,2,9,1,24,1,10,1,9,1,13,1,10,1,8,1,11,1,12,1,10,1,9,1,12,2,17,1,11,1,17,9,28,8,29,1,28,25,30,1,13,2,6,1,30,1,6,1,29,1,28,10,6,2,13,1,7,1,13,1,7,1,13,1,6,1,30,2,28,7,8,1,9,3,12,1,17,3,11,1,13,2,8,1,13,3,8,1,13,1,6,1,13,2,7,1,13,3,29,1,13,2,28,1,13,2,6,4,30,1,6,5,13,1,7,1,6,1,13,2,7,1,13,1,8,1,9,1,13,2,9,1,13,3,6,2,30,1,28,23,30,1,28,2,6,1,28,44,30,1,28,13,30,1,28,1,30,1,28,1,30,1,28,78,6,1,29,1,28,2,30,1,29,1,30,1,29,1,6,1,30,1,28,6,13,1,10,1,17,2,11,1,12,1,24,1,8,1,24,1,9,1,24,1,6,1,30,2,6,2,30,1,29,1,30,1,29,1,6,1,29,1,7,1,13,1,9,2,10,1,9,1,17,1,9,1,28,7,6,1,10,1,9,1,13,1,28,1,29,1,28,7,30,1,28,27,17,1,9,1,6,1,28,3,9,1,8,2,13,1,28,1,30,1,29,1,28,3,6,1,29,1,6,1,13,1,9,1,24,1,6,1,28,5,6,1,10,1,7,1,29,1,28,3,6,1,13,2,8,1,24,1,9,1,15,1,11,1,8,2,7,1,30,1,6,1,13,1,17,1,12,1,13,1,6,1,28,3,6,1,15,1,9,3,8,1,9,1,12,1,9,1,13,1,9,1,8,1,10,1,12,1,16,1,9,1,16,2,12,1,11,1,12,2,17,3,11,1,12,1,17,2,12,1,17,2,12,1,17,1,12,1,13,1,28,17,}, {29,1,6,1,29,1,8,1,28,1,29,2,30,2,29,1,28,1,6,2,28,1,6,1,30,1,8,1,6,1,13,1,7,1,8,1,13,3,9,1,13,1,9,2,13,1,7,1,13,2,24,1,13,1,9,2,17,7,8,1,6,1,30,1,13,1,28,2,30,1,28,1,6,1,13,1,24,1,9,1,29,1,28,5,29,1,15,1,9,1,8,2,7,1,30,1,29,1,28,8,6,1,7,1,8,1,29,1,28,40,30,3,28,1,30,1,6,3,29,1,8,1,9,1,6,1,28,2,30,1,13,2,17,1,10,1,6,1,13,1,6,1,13,1,7,2,29,1,13,1,6,2,13,1,6,1,28,1,30,1,28,1,30,1,29,1,6,1,13,2,8,1,13,2,30,1,6,1,29,1,30,1,24,1,9,1,17,1,9,1,17,1,10,3,12,1,8,1,24,2,13,2,29,1,7,1,13,1,9,1,8,1,6,1,30,1,29,1,13,1,29,1,7,1,30,1,28,21,30,1,28,8,29,1,28,1,6,1,28,1,30,3,28,1,8,2,29,1,28,1,30,1,28,3,13,1,24,1,8,1,10,1,9,1,8,1,9,1,24,1,13,1,8,1,6,3,29,3,6,1,28,1,30,2,29,1,6,1,13,2,8,1,17,1,12,1,24,1,17,2,14,1,8,1,28,14,30,1,28,1,29,1,6,1,30,2,28,4,6,1,28,2,6,1,30,2,28,1,30,1,28,2,30,1,6,1,28,2,30,3,28,2,29,1,28,1,30,1,29,1,28,2,30,1,7,1,30,1,6,1,29,1,6,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,30,3,28,1,30,1,6,1,28,2,29,1,28,1,29,1,30,1,29,1,28,1,6,1,28,1,30,2,29,1,28,1,30,1,28,1,30,1,29,1,6,2,28,1,30,2,6,1,30,1,6,2,29,1,6,1,13,1,30,1,28,1,6,1,30,1,28,1,7,1,29,1,13,1,28,1,30,1,6,1,13,1,8,1,29,1,13,1,30,1,6,1,13,2,6,1,8,1,6,1,30,1,6,2,7,1,6,1,30,1,13,1,6,1,7,2,6,2,13,1,7,1,13,1,6,1,13,1,7,1,8,1,6,1,8,1,6,1,30,1,8,1,7,1,29,1,6,1,30,1,29,1,6,4,13,3,6,1,13,1,6,1,29,1,28,1,7,1,6,1,8,1,13,2,8,1,13,1,8,1,9,2,17,1,9,1,12,1,9,1,6,1,28,1,30,1,28,1,30,1,29,1,28,1,8,1,30,2,29,1,6,1,13,1,8,1,6,1,13,1,7,1,6,3,7,1,13,1,8,1,9,1,13,1,8,2,10,1,13,1,8,1,9,1,24,1,13,1,10,2,8,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,10,1,9,1,11,1,10,1,8,1,6,1,13,1,9,1,16,1,17,1,16,1,11,1,16,1,11,1,16,2,17,2,11,1,16,1,11,1,9,1,11,1,16,1,11,3,17,1,11,2,9,1,10,1,11,1,16,1,11,1,9,2,11,1,17,1,11,1,9,2,11,1,9,5,10,1,11,1,13,1,10,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,9,1,10,1,11,3,9,1,16,2,11,1,9,1,11,1,16,2,11,3,16,1,17,1,16,2,17,1,16,1,9,1,11,2,9,1,11,1,17,1,10,1,17,22,16,1,17,5,9,1,12,1,6,1,7,1,17,2,16,2,17,2,16,1,9,1,11,1,17,1,8,1,10,1,9,1,8,1,9,1,13,2,24,1,8,1,7,3,6,3,29,1,6,1,28,1,30,1,28,1,29,1,30,3,29,1,30,1,6,1,28,1,29,1,28,1,30,1,29,1,30,6,28,1,29,1,28,1,6,1,7,2,28,1,6,1,30,2,28,1,30,1,28,2,29,1,28,2,6,1,29,1,30,2,29,1,30,1,7,1,30,1,6,1,13,1,29,1,24,1,6,1,7,1,8,1,24,1,8,1,13,2,8,2,17,4,16,1,9,1,11,1,16,1,9,1,11,1,10,1,11,1,9,1,11,2,10,2,9,1,13,1,11,1,9,4,8,1,11,1,9,3,8,1,9,2,10,1,9,2,10,1,11,1,9,2,11,1,9,2,16,1,9,1,11,1,16,1,9,1,11,3,9,1,11,2,8,1,9,1,8,1,9,1,11,2,9,1,16,1,11,1,9,1,11,1,9,1,8,1,9,1,11,1,9,1,16,1,11,1,16,1,17,1,11,1,16,1,17,1,16,1,11,1,16,3,9,1,17,1,16,1,17,1,16,1,17,1,11,1,17,1,16,3,17,5,11,1,17,2,16,1,17,6,16,1,17,1,16,1,17,4,16,1,17,6,16,1,17,4,16,1,17,1,16,5,11,1,9,1,16,1,17,2,9,1,8,1,13,1,8,2,13,1,10,1,9,2,7,1,13,2,8,1,9,2,8,1,13,1,8,2,13,1,11,1,9,1,11,1,10,1,7,1,29,1,6,1,29,1,13,4,28,1,8,1,24,1,13,1,9,3,8,1,10,1,8,1,9,2,24,1,9,1,8,1,9,1,10,1,13,1,24,1,8,1,10,1,9,1,6,1,13,1,8,1,29,1,12,1,13,1,6,1,13,1,8,1,6,4,13,1,6,1,8,1,13,1,9,2,12,1,17,4,16,4,17,1,16,1,11,1,16,2,9,1,16,5,11,1,17,1,11,1,17,1,9,1,11,1,10,1,8,1,11,1,9,2,11,1,9,1,12,1,11,1,9,3,10,1,13,1,9,2,13,1,12,1,6,1,13,1,7,2,6,1,8,1,7,1,29,1,7,1,29,1,30,1,29,1,6,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,3,6,1,24,1,10,1,17,1,11,1,17,9,16,1,13,1,11,1,16,1,17,3,16,1,11,1,16,1,11,3,16,1,11,2,13,1,28,27,6,1,12,1,9,1,13,1,24,1,13,1,8,3,30,1,12,1,17,1,6,1,28,4,6,1,28,7,30,1,13,1,28,1,13,2,9,1,11,1,16,2,11,2,16,1,9,2,11,1,9,1,13,1,6,1,30,1,13,1,9,1,30,1,28,1,6,2,30,1,28,1,6,1,30,2,6,3,28,1,6,2,28,1,6,1,30,5,28,1,29,1,6,3,29,1,30,1,6,1,13,1,6,1,29,2,28,1,30,4,13,1,30,3,28,2,30,1,28,2,30,3,28,1,29,2,28,1,6,2,28,1,30,2,6,1,29,2,30,2,6,1,28,1,6,2,28,1,30,1,6,1,30,1,29,1,30,2,6,1,30,2,29,1,6,2,28,1,30,1,6,1,30,1,6,2,30,1,6,2,30,1,6,1,29,1,30,3,6,1,30,1,29,1,6,3,30,1,6,2,30,1,7,1,6,4,13,1,30,1,6,2,30,1,6,3,13,1,6,1,30,1,6,1,30,1,6,1,13,1,6,1,30,1,6,2,13,3,11,1,6,1,30,1,6,1,13,1,6,1,30,1,7,1,30,2,6,3,7,1,6,1,13,1,6,6,30,1,29,2,30,1,6,2,30,1,6,2,30,1,6,2,30,3,6,2,28,1,6,1,13,1,6,1,7,1,30,1,6,1,30,5,6,2,28,1,6,1,30,2,29,1,30,4,6,2,28,1,30,1,6,1,30,1,29,1,30,2,6,1,30,5,28,1,30,2,6,1,30,6,29,1,6,1,30,4,6,3,30,2,6,1,28,1,30,1,6,1,30,1,29,1,30,1,29,1,30,3,29,1,6,1,30,1,6,1,30,1,6,1,29,2,6,1,30,1,6,1,13,1,30,4,28,1,30,2,6,1,28,1,30,2,13,1,6,1,29,1,30,2,6,1,30,6,6,1,30,3,7,2,6,1,7,1,6,3,30,1,6,1,30,1,6,2,13,1,30,1,6,1,30,1,6,1,13,1,6,2,30,1,6,2,7,1,30,1,13,1,7,3,29,1,30,1,6,1,30,3,6,1,13,1,6,2,13,3,9,1,13,1,30,2,6,1,30,1,28,3,13,1,28,7,8,1,30,1,28,8,30,1,28,1,6,1,28,3,30,1,13,2,8,4,13,2,29,1,6,1,13,1,9,1,28,3,30,1,29,1,7,1,13,1,6,1,13,1,6,1,30,2,28,2,6,3,7,1,6,1,8,1,24,1,8,1,7,1,8,1,29,1,30,2,28,5,30,2,29,1,7,1,6,2,8,1,28,46,6,1,10,2,9,1,13,1,29,1,30,2,6,2,30,3,29,2,28,3,6,1,30,1,6,1,29,1,30,1,26,1,25,1,30,1,6,2,30,3,28,1,29,1,28,1,30,1,28,26,30,1,28,10,6,4,29,1,28,1,30,1,7,1,28,1,6,1,29,1,6,1,29,1,30,1,29,1,25,1,29,4,7,1,24,1,30,1,6,1,30,1,28,1,6,1,30,1,29,1,30,1,7,1,25,1,6,1,28,1,30,1,28,1,29,2,30,1,13,1,6,1,7,1,8,1,13,1,30,4,29,2,28,1,8,1,29,1,30,1,8,2,25,1,29,1,8,1,6,1,8,1,25,2,7,1,24,1,25,1,8,1,7,1,8,2,24,1,8,1,24,2,8,1,24,1,10,3,24,2,8,1,24,1,8,1,24,2,8,1,24,4,8,1,25,1,8,1,25,1,6,2,8,1,6,1,29,1,30,1,28,1,29,1,26,1,29,1,25,2,24,1,25,3,24,1,8,1,25,1,12,1,8,1,10,1,24,1,8,1,9,1,10,1,13,2,24,1,17,1,12,1,17,1,9,1,17,1,12,2,17,3,9,1,17,1,12,1,17,1,12,1,17,1,9,1,24,3,7,1,8,1,24,1,25,1,8,2,26,1,8,1,6,1,24,1,25,2,26,1,24,1,6,1,27,2,30,1,29,1,30,1,27,1,30,1,6,1,7,1,30,1,27,1,29,1,27,1,8,1,6,1,26,1,25,2,6,2,7,1,28,8,30,1,6,1,29,1,8,1,30,1,25,2,24,3,10,1,24,1,8,2,24,1,9,1,12,1,24,4,8,1,24,1,10,1,24,1,13,1,24,1,8,2,24,1,13,1,24,1,8,1,10,1,24,1,8,2,24,1,12,1,24,1,10,1,9,2,12,1,17,1,12,1,17,1,24,1,17,1,12,3,17,1,24,1,10,1,12,2,8,4,10,1,13,1,8,1,24,1,8,1,7,1,8,2,13,1,7,1,30,1,29,1,7,1,6,1,8,1,10,1,8,2,7,1,6,1,13,1,8,2,13,1,8,1,24,1,8,1,24,1,10,1,8,1,24,1,9,1,10,1,9,1,13,1,9,1,10,2,12,1,10,1,17,12,28,34,6,1,28,1,13,2,30,2,28,9,13,5,7,1,6,4,29,1,28,7,29,1,12,1,9,2,8,1,17,4,10,1,9,3,13,6,9,1,13,1,6,2,7,1,6,1,13,1,6,1,29,1,13,1,7,2,6,1,13,2,6,1,13,1,6,2,13,2,6,1,13,3,7,1,13,2,9,1,8,1,13,1,9,1,13,1,9,1,13,3,6,1,13,1,28,28,30,2,28,3,30,1,28,29,30,1,28,105,6,1,28,4,6,1,7,1,30,2,29,1,28,6,6,1,11,1,17,2,9,1,12,1,9,1,24,1,8,2,13,1,7,1,28,1,6,1,30,1,28,1,7,1,30,1,29,1,28,1,29,1,6,2,13,1,9,1,10,1,9,2,24,1,8,1,30,1,28,6,30,1,17,1,8,1,13,1,30,1,6,1,28,34,30,1,9,1,10,1,13,1,30,1,28,1,29,1,8,1,15,1,13,1,7,1,6,1,29,1,28,4,6,3,24,1,9,1,6,1,29,1,28,5,29,1,9,1,6,1,28,5,6,1,13,1,8,2,10,1,15,1,14,1,12,1,9,1,13,1,30,1,29,1,8,1,10,1,11,1,13,1,30,1,28,3,6,1,10,1,9,1,6,1,8,1,9,1,12,1,24,1,17,1,13,1,9,1,13,3,9,1,16,1,11,2,16,1,11,1,17,2,12,1,17,3,10,1,11,1,16,1,17,1,11,1,17,1,12,1,17,2,6,1,28,16,29,1,}, {13,1,28,2,29,1,6,1,30,2,6,1,29,1,6,1,30,4,6,1,29,1,13,1,6,1,13,2,7,1,8,1,9,1,13,2,8,1,13,1,8,2,13,1,8,2,24,1,13,1,9,2,17,7,9,1,13,1,29,1,6,1,28,2,30,1,28,1,6,1,8,1,13,1,10,1,6,1,28,4,30,1,29,1,24,1,11,1,9,1,8,1,7,1,28,10,29,1,24,1,7,1,30,1,28,42,29,1,28,1,6,3,29,1,7,1,8,1,15,1,29,1,30,1,6,1,30,2,8,1,17,1,13,1,6,1,8,1,13,1,8,1,13,1,29,1,13,1,8,1,13,2,6,2,30,1,8,1,28,1,29,1,6,1,7,1,13,1,24,1,8,1,13,3,30,1,29,2,13,1,9,1,17,1,12,1,17,1,16,1,11,1,10,1,9,1,24,1,11,1,13,1,6,2,30,1,29,1,24,2,6,1,30,1,28,1,30,1,28,1,8,1,30,1,28,29,30,1,29,1,28,1,30,2,28,1,6,2,28,1,8,1,7,1,24,1,30,1,28,4,6,2,10,1,24,1,9,1,12,1,13,1,24,2,6,2,13,1,6,1,13,1,6,2,13,1,6,2,30,1,6,1,29,1,13,1,7,1,24,2,17,2,12,2,14,2,11,1,28,10,29,1,28,4,6,1,28,1,6,1,30,4,28,3,7,1,6,1,30,1,29,1,28,2,29,1,28,4,6,1,28,1,30,1,6,1,28,3,6,1,28,2,30,1,29,2,30,1,28,1,6,1,30,1,28,1,30,1,28,1,13,1,6,1,28,1,29,1,28,1,30,2,28,1,6,1,28,3,30,1,28,2,6,1,28,1,29,1,6,1,30,1,13,1,6,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,6,1,29,1,30,1,6,1,28,1,6,1,28,1,7,2,6,1,29,1,7,1,6,1,30,1,7,1,28,1,6,2,30,1,6,1,30,2,29,1,28,1,29,1,13,1,6,1,8,1,6,3,7,3,13,1,6,1,29,1,7,1,6,1,8,1,6,2,8,1,13,2,7,2,8,1,13,1,29,1,13,1,7,1,6,1,8,1,13,1,8,1,7,1,8,1,13,1,6,1,7,1,6,1,29,1,28,1,6,2,30,1,7,1,13,2,7,1,13,1,6,3,13,1,7,1,13,1,7,1,13,1,7,1,13,1,9,1,8,1,9,1,8,1,13,1,11,1,13,1,11,1,8,1,13,1,30,1,29,1,30,1,28,1,6,1,30,3,28,1,6,2,7,1,6,1,8,1,30,1,13,1,30,1,13,1,6,1,7,1,6,1,13,2,7,1,13,2,7,1,8,1,24,1,8,1,13,1,9,1,10,1,13,1,8,1,11,1,13,1,9,2,8,1,9,4,16,1,9,1,13,1,8,1,13,2,16,1,17,1,16,4,17,2,11,1,16,2,9,1,16,2,9,1,11,1,16,1,11,6,16,1,9,1,16,1,11,2,16,2,9,1,11,1,9,1,11,2,9,3,11,2,9,2,11,5,9,2,11,1,9,1,11,1,9,1,10,1,11,1,16,1,11,1,16,1,9,1,16,2,11,1,16,3,11,5,9,1,17,1,11,2,10,1,17,1,9,1,10,1,11,2,9,1,17,10,16,1,17,13,16,2,17,3,16,1,6,1,13,1,11,1,17,1,16,1,17,2,16,2,17,1,11,1,9,1,13,1,16,1,9,3,8,1,24,1,8,1,13,1,24,1,7,1,6,1,13,2,30,1,29,1,6,1,29,1,6,1,28,2,29,1,28,3,30,3,28,1,29,1,28,1,29,1,28,3,30,1,29,1,6,1,7,1,30,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,28,6,30,1,29,2,30,1,29,1,7,1,6,1,13,1,29,1,6,1,13,1,6,2,24,1,13,2,24,1,8,1,9,1,8,1,13,1,9,1,8,2,17,3,16,1,11,2,9,2,11,1,9,4,16,1,11,1,9,1,11,2,9,4,8,1,10,1,9,1,10,1,13,1,9,4,8,1,9,3,11,1,9,1,13,1,9,2,10,1,11,1,9,2,11,1,9,2,11,1,16,1,9,1,16,1,9,2,16,1,9,1,16,1,9,1,11,1,9,5,11,1,9,1,10,1,11,3,17,1,16,1,17,1,16,3,17,2,16,3,17,4,10,1,17,3,16,1,17,6,16,2,17,8,16,1,17,1,16,1,17,2,16,2,17,4,16,2,17,5,16,1,17,3,11,3,9,1,16,1,17,1,11,1,16,1,17,1,9,1,13,2,9,1,8,1,13,1,9,3,6,1,13,1,8,1,13,1,8,1,13,4,9,1,8,1,13,1,9,1,8,1,11,1,9,1,12,1,8,1,7,1,28,1,30,1,29,1,28,1,6,2,24,1,7,1,13,2,11,1,8,2,13,1,24,1,8,2,10,1,8,1,9,2,10,1,8,1,10,1,8,2,11,1,13,2,9,1,13,2,8,2,7,1,13,1,6,2,13,1,6,1,7,1,6,2,7,1,9,1,8,2,17,2,16,1,17,1,16,1,11,1,17,2,16,1,17,1,16,3,11,1,8,1,9,1,10,1,16,1,11,1,9,1,17,1,11,1,16,1,11,1,16,1,12,1,9,1,11,2,9,1,17,1,11,3,12,1,13,1,9,3,8,1,9,1,13,1,24,2,13,3,6,2,29,1,7,1,28,1,30,1,6,1,7,1,6,1,28,1,30,2,8,1,29,1,6,2,29,2,30,1,28,1,6,2,10,1,11,1,17,7,16,2,17,2,10,1,16,1,17,2,16,1,11,1,16,1,11,2,9,1,16,1,17,1,10,1,11,1,9,1,13,1,28,27,13,1,24,1,10,1,24,1,8,2,24,1,8,1,24,1,8,1,24,1,17,1,9,1,28,3,6,2,28,7,6,3,30,2,9,1,16,2,17,1,16,1,11,1,9,6,6,1,30,2,9,1,13,1,30,3,29,1,30,3,6,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,30,3,13,2,6,1,30,1,6,1,30,1,6,2,28,1,30,1,29,2,30,1,6,1,28,1,30,2,28,1,30,1,28,2,6,2,30,1,6,1,30,2,28,1,30,1,6,6,30,3,6,2,30,1,6,1,30,2,29,1,30,1,6,2,29,1,30,1,6,1,30,2,6,1,30,2,6,1,13,1,6,1,30,1,6,4,30,1,6,1,28,1,6,1,30,1,6,1,13,1,30,1,6,6,30,1,13,1,30,1,6,1,30,4,6,2,13,1,6,2,30,6,6,3,13,2,6,1,13,2,9,1,6,4,29,1,6,1,30,1,6,3,29,1,30,2,6,1,30,1,7,1,29,2,6,1,30,1,6,2,30,1,6,1,30,1,6,2,13,1,30,1,6,2,13,1,6,1,28,1,30,1,29,2,6,1,30,2,6,2,13,1,7,1,6,2,29,2,28,1,6,1,29,1,6,1,28,1,6,4,30,1,6,2,30,1,28,1,6,1,30,5,13,1,28,1,6,2,30,1,28,1,30,4,28,1,30,1,28,1,30,6,6,2,30,1,7,1,30,1,28,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,6,1,29,1,6,1,29,2,30,2,6,1,30,1,6,3,30,1,6,1,30,1,6,1,30,3,6,2,30,1,29,1,6,1,30,1,6,3,7,1,6,3,30,1,6,3,13,1,30,1,29,1,13,1,6,5,30,2,6,1,30,1,6,1,30,1,13,2,6,5,29,2,6,1,30,1,7,1,6,1,29,1,7,1,6,5,7,1,6,1,30,1,6,1,30,1,6,5,29,1,13,3,9,1,8,2,13,1,6,4,28,4,6,1,28,6,29,1,6,1,28,16,6,1,13,1,7,1,8,1,9,1,24,1,13,1,6,1,29,1,6,1,13,2,28,3,6,1,7,2,30,1,6,2,30,1,28,1,30,1,28,1,30,2,28,1,6,2,30,1,13,2,7,1,29,1,13,1,6,1,28,1,30,1,28,3,29,1,28,2,29,1,7,1,29,1,6,2,28,47,29,1,13,1,12,1,10,1,8,1,29,1,13,1,29,1,6,1,30,4,29,1,30,1,28,1,29,4,6,1,25,1,29,1,26,3,29,1,6,1,27,1,29,1,7,1,29,2,30,1,28,5,30,1,28,1,30,1,28,24,30,3,28,1,30,1,28,1,29,1,30,1,28,1,30,1,25,1,7,1,29,1,6,1,30,1,6,1,29,1,6,6,29,1,13,1,6,1,7,1,6,1,7,1,29,3,7,1,30,1,29,2,30,2,29,1,6,1,28,1,25,1,6,1,7,1,29,1,7,1,29,1,30,1,29,1,6,2,30,1,6,3,7,1,29,1,25,1,29,1,30,1,8,1,6,1,24,1,7,1,25,1,27,1,29,1,8,2,7,1,8,1,24,1,10,1,25,1,6,1,8,2,7,1,24,1,8,1,24,2,12,2,24,1,12,1,24,2,10,1,24,2,10,1,8,1,24,2,8,1,25,1,24,2,7,1,25,1,29,3,30,1,28,1,30,1,27,1,26,1,29,1,28,1,25,6,8,1,25,1,8,2,13,1,8,1,13,1,24,1,12,1,8,1,10,1,8,1,12,2,24,1,10,1,12,1,10,1,17,2,12,3,24,1,17,3,12,2,17,1,12,1,24,3,25,1,6,1,25,1,24,1,8,1,24,1,25,1,24,1,25,3,28,2,27,1,6,1,25,1,29,1,25,1,28,1,6,1,28,1,27,1,29,4,30,1,6,1,7,1,30,1,8,1,29,1,13,1,6,2,29,1,28,7,6,1,13,2,29,1,6,1,7,1,8,2,24,1,7,1,24,1,8,1,24,1,8,1,24,1,12,1,13,1,8,1,12,1,8,1,24,1,8,1,10,1,13,1,24,1,13,1,8,1,13,1,10,1,8,1,24,2,13,1,8,1,12,1,10,1,8,1,24,1,17,1,10,1,12,1,10,1,12,3,17,3,12,3,17,1,24,1,12,2,24,1,10,1,8,1,12,1,13,1,24,1,25,1,24,1,8,4,7,1,6,1,8,1,6,1,7,1,13,1,7,2,24,1,8,1,30,2,6,1,7,1,13,2,7,1,13,2,8,2,12,1,24,1,8,1,24,1,8,1,9,3,8,1,17,1,11,1,12,1,17,1,12,1,17,11,28,33,30,1,6,1,30,1,7,1,28,11,6,1,13,1,6,1,7,1,6,1,30,1,28,1,30,3,28,9,13,1,17,1,10,1,9,1,10,1,17,4,9,1,11,1,9,3,13,4,7,1,6,1,13,2,6,1,7,1,6,1,13,1,30,1,13,1,6,1,7,1,13,1,30,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,28,1,13,1,7,1,30,1,13,1,6,1,13,2,8,3,10,1,9,1,13,1,7,1,6,1,7,1,30,1,28,28,29,2,28,1,30,1,28,1,30,1,28,1,30,1,29,1,28,13,30,1,28,21,30,1,28,1,30,1,28,1,30,1,6,1,28,92,30,1,28,3,30,3,29,1,28,7,7,1,12,1,17,1,16,1,11,1,12,2,13,1,8,1,24,1,13,1,6,2,30,1,28,1,30,1,6,1,28,1,6,1,28,1,30,2,6,1,7,1,9,1,15,1,8,1,9,1,8,2,28,7,6,1,17,1,9,1,6,1,28,7,30,1,28,29,24,1,15,1,28,3,13,1,8,1,12,1,24,1,7,1,30,1,28,2,30,1,28,3,6,2,9,2,6,1,30,1,28,5,29,1,9,1,13,1,28,5,30,1,6,1,8,1,13,1,10,1,9,1,15,1,9,1,13,2,7,1,6,1,10,1,17,1,9,1,8,1,28,2,30,1,28,1,13,2,8,1,13,1,30,1,8,1,10,1,15,1,10,1,9,1,8,2,13,2,8,2,9,2,11,2,12,1,17,5,12,2,17,7,6,1,28,16,30,1,}, {7,2,24,1,6,2,30,2,6,1,28,1,29,1,30,1,28,1,6,1,29,1,7,1,30,1,6,1,7,1,13,1,6,1,8,1,13,1,9,1,8,5,9,1,7,1,8,1,9,1,13,1,9,1,13,1,9,1,12,1,17,5,16,1,9,1,30,1,6,1,30,1,28,2,29,1,6,2,24,2,10,1,13,1,30,1,28,4,30,1,10,1,9,1,12,1,13,2,6,1,29,1,28,7,30,1,6,2,8,1,29,1,28,40,30,1,28,4,30,1,29,2,6,1,13,1,9,1,28,3,30,2,9,1,17,1,8,2,6,1,28,2,13,1,6,1,7,1,8,1,13,1,30,1,6,3,28,1,6,1,13,3,7,1,13,1,8,2,6,5,7,1,9,1,12,1,17,1,12,1,11,1,9,1,16,1,13,1,10,1,6,2,13,5,9,1,7,1,30,1,6,2,30,1,6,1,30,1,28,29,30,1,28,3,6,1,29,1,28,2,30,1,7,1,6,1,8,1,6,1,28,2,30,1,28,1,29,1,24,2,8,2,12,1,13,1,24,1,9,1,13,1,29,1,6,1,29,1,30,1,29,3,30,1,28,2,30,1,29,1,6,1,7,1,24,1,8,1,17,1,12,1,17,1,15,1,14,2,8,1,28,11,30,1,28,4,7,1,30,1,28,1,30,1,6,1,28,1,29,2,28,1,29,1,28,3,6,1,28,1,30,1,28,1,30,1,28,4,6,1,29,1,28,1,29,1,30,2,28,1,6,1,28,1,29,1,28,2,30,1,28,1,7,1,6,1,28,1,30,1,28,1,29,1,28,1,29,1,28,1,29,1,30,1,29,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,29,2,30,2,29,1,6,2,30,1,6,1,29,1,30,2,29,1,28,1,6,1,28,1,30,2,6,1,28,1,30,2,7,1,6,1,30,1,29,1,13,3,28,2,7,1,29,1,30,2,29,1,28,1,7,1,28,1,30,1,6,1,13,1,6,1,29,1,7,1,6,1,13,1,8,1,6,3,7,1,30,1,6,2,13,2,8,1,6,1,30,1,13,1,29,1,13,1,6,2,7,1,6,1,13,4,6,1,13,2,7,3,6,1,13,1,28,1,6,1,7,2,6,1,13,1,7,3,8,1,6,2,13,1,6,1,7,1,13,1,8,1,13,1,9,1,8,3,11,1,8,1,10,1,9,1,13,1,29,1,28,1,29,2,6,1,30,1,6,1,28,1,29,1,13,2,29,1,6,1,13,1,6,1,13,1,6,2,7,1,6,1,8,2,6,1,8,1,13,1,8,1,13,1,8,3,24,1,13,1,8,1,13,1,9,2,8,3,9,1,13,1,8,1,16,1,11,1,9,1,11,1,9,1,10,1,13,1,9,1,16,1,17,2,16,1,17,1,11,1,16,2,10,1,11,1,16,1,10,1,11,1,16,1,11,2,9,1,11,1,16,1,17,1,11,2,9,1,10,1,9,1,10,1,9,2,10,1,16,1,11,2,8,1,11,3,9,1,11,1,9,2,11,2,9,1,10,1,9,1,11,1,9,1,11,1,9,1,10,1,16,1,9,2,11,1,9,1,11,1,9,1,10,1,9,1,10,1,9,2,16,5,11,1,10,1,11,1,16,2,11,2,16,1,11,1,9,1,11,3,9,1,17,27,16,1,17,1,16,1,13,1,6,1,12,1,16,1,17,4,10,1,9,1,12,1,17,1,9,1,10,1,9,2,24,1,9,1,10,1,24,1,30,1,13,1,30,1,8,1,6,1,13,1,7,1,6,1,29,1,30,1,29,2,28,1,30,2,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,3,6,2,30,1,6,3,29,1,30,1,7,1,6,1,28,3,6,1,29,1,6,1,28,1,7,1,29,1,28,1,6,2,30,1,7,1,13,1,6,2,8,1,13,1,8,2,24,1,8,1,24,2,9,1,8,2,17,1,16,1,17,1,16,1,17,1,11,1,9,1,10,1,9,3,11,2,9,6,8,1,9,3,13,1,8,1,9,1,10,1,9,3,13,1,9,1,10,1,9,3,10,1,9,1,8,1,9,2,10,1,9,1,16,1,9,2,11,3,9,1,11,3,9,1,11,2,9,1,11,1,9,2,11,1,10,1,9,1,8,1,13,2,9,1,11,1,9,1,16,1,11,1,16,2,17,1,16,4,11,1,17,1,16,1,17,2,16,1,11,1,17,3,9,1,17,1,16,2,17,1,16,2,17,1,16,2,17,4,16,1,17,3,16,1,17,19,16,1,11,1,17,1,16,4,11,1,17,2,12,1,13,2,8,2,9,1,13,1,9,1,13,1,8,1,13,3,9,1,6,1,9,1,13,2,9,2,8,1,10,1,8,1,9,1,10,1,9,2,7,1,29,1,6,1,28,4,13,1,7,1,8,1,13,1,8,2,13,1,24,2,13,1,9,2,8,1,24,1,8,1,12,1,8,1,9,1,8,1,7,1,9,1,7,2,8,1,6,1,13,3,6,1,8,1,29,2,6,1,29,1,6,1,30,1,6,1,7,1,6,1,8,1,9,1,17,1,12,1,17,1,11,1,16,1,17,7,16,2,11,1,17,1,16,3,17,1,9,1,16,2,11,1,17,1,11,2,9,2,10,1,11,1,16,1,9,3,11,1,9,3,8,1,13,1,9,1,8,1,7,1,13,2,6,1,8,1,29,1,13,1,6,2,7,1,6,1,30,1,6,1,13,1,29,1,6,1,30,1,28,1,29,1,30,1,29,2,6,1,29,1,7,1,13,1,8,1,17,14,16,1,17,1,16,4,11,1,9,2,11,2,16,1,11,1,13,1,28,27,7,1,9,1,10,1,12,1,24,1,8,1,25,1,8,4,15,1,17,1,30,1,28,3,13,1,28,9,30,3,9,2,11,1,17,1,16,2,9,2,11,2,9,2,13,1,30,1,7,1,11,1,30,2,29,1,30,3,6,2,30,2,6,1,30,5,6,1,30,3,6,1,30,2,6,1,30,2,6,1,30,2,6,4,30,7,28,1,6,1,28,1,30,1,28,5,30,1,29,1,30,1,28,1,30,1,6,1,29,1,30,3,28,1,6,4,30,2,6,1,30,1,6,2,30,3,6,2,28,1,6,1,28,1,13,1,6,1,29,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,6,1,29,1,6,2,29,1,6,3,30,1,6,3,29,1,30,1,6,1,7,1,30,1,29,1,6,2,13,1,6,3,13,1,30,1,29,1,30,1,28,1,6,1,7,1,30,2,29,1,30,2,6,1,30,1,28,1,13,1,28,1,6,5,28,1,30,1,6,1,28,1,30,2,29,1,30,1,6,1,30,2,6,2,30,1,6,1,30,1,6,2,29,1,30,1,6,1,30,4,6,1,28,1,6,2,28,1,6,1,30,5,29,1,6,2,30,1,6,1,28,1,30,1,6,3,30,1,6,8,30,1,6,1,7,1,30,1,13,1,6,4,29,1,6,1,30,1,6,3,29,1,30,1,6,1,29,1,30,1,28,1,6,1,28,1,6,2,30,1,29,1,6,4,30,2,6,2,30,1,28,1,6,1,30,1,28,1,30,1,6,1,29,1,6,1,29,1,30,2,6,1,30,2,6,1,28,1,6,1,30,2,28,1,6,3,7,1,30,1,6,2,30,1,6,2,13,1,6,1,29,1,13,1,29,1,6,2,13,1,6,2,30,1,6,1,7,1,30,1,6,2,30,1,6,2,30,2,6,1,13,1,6,1,13,1,30,1,13,1,28,1,30,1,6,1,30,1,6,6,13,1,29,1,30,2,13,1,6,1,13,1,30,1,7,1,6,1,30,1,6,3,30,3,6,1,30,1,6,2,13,5,8,1,13,1,6,2,28,6,30,2,28,4,30,1,6,2,28,16,7,1,29,1,6,1,8,1,13,1,6,4,30,1,6,1,7,1,28,2,30,1,13,1,6,1,13,1,30,1,28,10,30,1,28,1,30,1,6,2,30,1,7,1,29,1,28,5,30,1,28,2,30,1,6,1,29,1,30,1,6,1,28,48,9,2,24,1,10,1,29,1,28,1,30,1,28,1,29,1,6,1,29,1,30,1,6,1,29,1,6,1,29,3,6,1,27,1,25,1,6,1,25,1,29,1,25,3,6,1,7,1,6,1,29,1,30,1,6,1,30,1,28,8,30,1,28,26,29,1,30,1,6,1,28,1,7,1,28,1,7,1,6,1,7,1,29,1,6,2,7,1,6,1,28,1,8,2,29,1,24,1,28,1,29,1,30,1,13,1,6,1,7,1,6,1,25,2,30,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,27,1,7,1,6,1,27,1,7,1,29,1,30,1,29,2,30,1,29,1,6,1,30,1,6,1,28,1,29,2,30,1,7,1,6,1,30,1,6,1,25,1,26,1,25,1,6,1,25,2,6,1,8,1,25,1,8,3,24,1,13,1,6,1,8,2,24,1,12,1,8,1,12,1,24,5,8,1,12,1,8,1,24,2,8,1,12,1,24,1,8,1,13,1,8,1,24,1,6,2,30,1,6,1,8,1,25,1,29,1,26,3,25,3,29,1,26,1,8,1,26,1,10,1,25,1,8,7,13,1,9,1,8,1,10,2,24,1,10,1,12,1,24,1,12,2,17,2,12,1,10,1,17,2,10,1,17,2,12,1,8,2,7,1,6,1,24,1,25,2,8,1,25,1,6,1,26,1,25,1,27,1,25,2,29,1,24,1,26,1,29,1,26,1,28,1,25,1,6,2,28,1,27,1,29,1,25,1,30,1,25,1,30,1,7,1,30,1,25,1,30,1,7,2,29,1,13,1,6,1,28,7,29,1,6,2,8,1,7,1,25,1,24,1,13,1,8,1,24,1,8,1,12,1,24,1,13,1,12,1,24,1,12,1,17,1,24,1,10,1,24,2,10,1,13,2,8,1,24,2,13,1,8,1,24,1,7,1,8,2,6,1,8,2,17,1,12,1,10,1,12,1,24,1,17,1,12,1,11,1,10,1,12,1,17,2,12,1,17,1,10,1,12,1,17,2,9,1,12,1,10,1,24,3,25,1,8,4,13,1,25,1,7,2,13,1,6,2,29,1,25,2,29,1,6,1,7,3,13,1,7,1,8,1,13,1,7,1,9,1,8,3,24,1,8,1,13,1,10,1,24,1,17,1,24,1,11,1,10,1,12,2,11,1,17,11,28,32,30,1,6,2,29,1,30,1,28,9,30,1,13,1,6,2,30,1,6,1,28,3,30,1,28,10,6,1,13,1,11,2,10,1,12,1,17,4,11,1,8,3,9,2,13,1,6,1,13,3,8,1,13,2,30,1,6,2,13,4,29,1,8,1,6,2,7,1,30,1,13,1,6,1,29,1,6,1,30,1,13,2,6,4,9,1,13,1,9,2,8,1,13,1,8,1,9,1,13,2,28,35,6,1,28,1,6,1,28,2,13,1,28,4,30,3,28,22,30,1,6,1,28,2,30,1,29,1,28,1,30,1,28,97,6,1,28,1,30,1,28,8,29,1,12,1,16,1,12,1,16,1,17,1,10,2,8,1,13,2,7,2,30,1,29,1,30,1,29,1,30,1,6,1,28,1,6,1,29,1,6,1,7,1,8,1,15,1,9,1,24,1,9,1,8,1,28,7,7,1,17,1,9,1,6,1,28,37,14,1,17,1,29,1,28,3,24,3,13,1,28,5,30,1,6,2,13,1,24,2,6,1,30,1,28,5,7,1,9,1,6,1,28,5,29,1,6,1,13,2,9,1,8,1,9,1,15,1,8,1,13,1,29,2,8,1,17,1,13,1,9,1,28,4,13,1,24,1,29,1,30,1,28,1,8,2,9,1,10,1,12,1,9,2,8,1,9,1,13,1,9,2,11,1,9,1,17,1,9,1,17,4,11,1,17,1,11,2,17,1,10,1,17,3,10,1,30,1,28,16,30,1,}, {8,1,7,1,9,1,7,3,6,1,7,1,29,2,28,1,7,1,30,1,29,1,6,2,13,1,8,1,13,1,6,1,8,1,13,4,8,2,13,1,7,1,8,1,13,1,9,1,6,1,9,1,8,1,9,1,17,7,9,1,6,1,30,1,6,1,28,4,6,2,10,1,15,1,6,1,28,5,6,1,8,1,9,1,24,1,9,1,6,2,30,1,29,1,28,7,30,1,24,1,8,1,29,1,28,38,30,1,28,5,30,1,6,1,30,1,28,1,6,1,8,1,9,1,29,2,28,2,29,1,8,1,9,2,13,1,30,1,13,1,8,1,13,2,6,1,29,1,7,1,6,1,29,1,6,2,29,2,28,2,30,1,24,2,10,1,8,1,6,1,13,1,6,1,29,2,7,1,16,1,17,3,12,1,24,1,9,1,13,1,9,1,8,1,7,1,30,1,6,2,13,1,8,2,13,1,6,1,29,1,6,1,30,1,7,1,30,1,28,29,29,1,7,1,28,1,29,3,28,1,6,1,29,1,8,1,7,1,9,1,6,1,28,5,6,1,24,3,17,1,9,1,8,3,13,1,6,1,29,1,6,1,29,1,6,3,30,1,6,1,30,1,6,2,30,1,15,1,8,1,17,1,12,1,15,1,12,1,15,1,14,1,8,1,28,10,30,1,28,3,13,1,28,1,30,1,13,1,6,1,30,1,6,1,30,2,6,1,28,3,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,5,29,1,28,1,29,1,28,1,13,1,29,1,28,1,29,3,13,1,28,3,30,1,28,3,7,1,28,2,30,1,29,1,28,2,6,1,28,1,30,2,7,1,6,1,28,1,6,1,28,3,6,1,28,1,30,1,28,1,6,1,30,2,29,1,6,1,30,1,28,1,6,2,7,1,13,1,6,1,28,1,6,2,30,1,29,1,28,1,6,2,30,3,7,1,28,1,6,2,13,1,7,1,6,1,29,1,13,2,28,1,7,1,6,1,13,1,30,1,6,3,13,1,6,1,13,1,6,1,24,1,13,2,7,1,13,1,6,1,7,1,28,1,29,1,6,1,13,1,7,1,8,1,13,1,7,1,13,1,7,1,6,1,7,1,6,1,13,2,29,1,9,1,29,1,13,1,6,2,13,1,6,1,8,1,13,3,10,1,9,1,13,1,8,1,9,1,13,1,9,3,16,1,11,1,24,1,29,1,28,1,30,1,13,2,29,1,6,2,7,1,29,1,6,3,13,3,7,1,8,1,13,1,7,1,6,1,13,1,6,1,13,1,8,1,6,1,24,1,13,2,7,1,13,1,8,2,24,1,9,1,8,1,13,2,9,1,8,1,13,1,9,2,10,1,8,1,9,1,11,1,13,4,16,2,17,3,16,1,11,1,17,1,16,1,17,1,16,2,11,2,10,1,17,1,10,1,16,4,11,1,16,1,11,2,16,1,10,1,9,2,16,1,9,3,11,1,9,1,10,1,9,1,11,2,9,1,11,1,9,2,11,3,9,1,11,1,9,2,11,2,8,1,11,1,9,1,16,1,11,1,10,1,11,1,16,1,11,1,16,1,9,1,16,2,9,2,11,1,10,1,11,1,16,2,11,1,17,1,11,2,10,2,17,1,11,1,16,1,17,10,10,1,17,4,16,1,12,1,17,1,11,1,17,1,10,1,17,1,12,1,17,7,16,1,13,1,11,1,17,2,16,1,17,2,16,1,17,1,10,1,16,1,11,1,17,1,16,1,9,2,8,1,9,1,8,2,13,2,9,1,6,1,29,1,13,1,29,1,8,1,13,1,28,1,30,1,28,2,29,1,28,2,29,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,29,2,28,1,6,1,30,1,28,1,6,1,28,1,30,1,6,1,29,3,30,1,29,1,30,1,28,2,30,2,28,2,29,1,30,1,6,1,7,1,28,1,6,1,13,1,7,1,30,1,13,1,29,1,13,3,24,1,8,1,9,1,13,1,8,1,6,1,9,1,16,1,17,4,16,1,9,1,11,5,9,2,11,2,9,1,11,1,13,1,9,2,13,1,11,1,8,1,11,1,13,1,9,1,10,1,11,2,10,1,9,1,11,2,9,3,10,1,8,1,13,1,10,1,16,1,11,4,16,1,9,1,11,1,9,1,11,1,9,1,16,1,11,3,10,1,9,2,13,1,9,4,11,4,16,1,17,1,16,3,11,1,16,1,17,1,16,1,17,1,11,1,17,1,11,1,17,5,16,2,17,1,16,5,17,6,16,1,17,2,16,1,17,1,16,1,17,2,11,1,17,3,16,1,17,3,11,1,17,1,11,1,17,3,16,1,17,3,16,1,9,1,17,1,16,1,17,2,12,1,17,3,6,1,8,3,9,1,13,1,9,2,13,1,10,1,13,2,9,1,8,1,13,2,9,1,13,1,8,2,9,1,8,1,9,1,10,1,17,1,8,1,9,1,10,1,13,1,28,3,30,1,29,2,13,1,29,1,6,2,8,1,13,1,8,1,13,1,24,1,8,1,24,1,10,1,8,3,17,1,10,1,8,2,24,1,13,1,9,1,29,1,8,2,7,3,6,2,30,2,28,1,30,1,6,1,29,1,6,1,13,1,9,1,10,1,9,1,17,8,11,2,17,1,16,1,17,1,16,2,17,1,11,1,16,1,9,1,11,1,16,1,11,3,12,1,17,2,11,1,16,2,17,1,8,1,9,1,12,1,11,1,10,1,9,1,10,1,24,1,8,3,7,1,13,1,8,1,13,1,7,1,13,1,7,2,13,1,7,1,29,1,7,1,29,3,6,1,30,1,28,1,29,1,30,1,8,1,6,1,13,2,9,1,13,1,16,1,17,1,11,1,16,1,17,4,16,1,17,3,16,1,17,2,11,1,16,3,11,2,16,1,9,1,17,2,11,1,10,1,13,1,28,27,30,1,9,1,24,1,12,1,24,1,8,2,24,1,8,3,9,1,16,1,9,1,28,3,30,1,6,1,28,7,30,1,6,1,28,2,13,1,9,1,16,4,9,1,16,1,9,5,28,1,13,1,9,1,6,1,30,2,29,1,30,3,28,2,30,4,6,1,29,1,30,3,28,1,30,2,28,1,30,3,28,1,6,1,30,1,6,4,30,3,29,1,30,5,6,1,28,1,30,1,28,6,30,1,29,1,30,2,29,2,28,1,30,2,6,1,30,2,28,1,6,1,30,2,6,2,30,2,6,1,30,3,6,2,28,1,6,1,30,2,29,1,30,2,6,1,30,1,6,1,13,1,30,1,6,1,30,1,6,2,30,2,6,1,30,1,6,4,13,1,6,2,30,2,6,5,7,1,30,1,13,1,6,1,29,1,6,2,30,1,6,2,30,7,29,1,6,1,30,1,6,1,30,1,29,1,6,4,13,1,6,2,30,1,6,1,30,1,6,2,30,1,6,1,30,6,6,1,30,1,29,1,30,2,29,1,6,1,30,5,6,2,13,1,28,1,6,1,30,1,29,1,30,1,28,1,29,1,30,2,6,2,30,2,28,1,30,2,28,1,6,2,29,1,30,1,6,1,30,1,6,1,30,3,6,1,30,1,28,1,7,1,6,1,29,1,13,1,30,3,6,3,30,1,6,2,28,1,30,3,29,1,30,1,28,1,30,1,6,2,30,2,29,1,6,1,30,3,28,1,30,1,28,1,30,1,6,1,30,2,29,1,6,2,28,1,6,1,30,2,6,1,29,1,30,1,6,1,30,1,7,1,6,3,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,4,13,3,6,4,13,2,30,1,13,1,6,2,30,1,7,1,6,3,7,1,6,1,7,1,30,1,6,1,7,1,6,4,7,1,6,1,30,1,6,3,28,1,6,3,29,1,13,1,6,3,30,6,28,1,29,1,30,1,6,3,13,5,29,1,6,1,28,1,30,1,28,6,6,1,28,5,7,1,29,1,30,1,28,10,29,1,28,4,13,1,30,1,13,1,7,1,8,2,6,1,7,2,6,1,8,2,6,1,13,1,8,1,13,2,30,2,29,1,30,1,28,7,30,1,28,1,29,2,30,1,6,1,28,1,29,1,30,2,29,1,28,1,30,1,28,2,30,1,28,2,13,1,29,1,6,1,28,49,9,2,10,1,8,2,6,1,30,1,6,1,28,2,29,2,6,1,29,1,6,2,29,2,6,1,26,1,6,1,25,1,27,2,25,1,8,2,7,1,6,1,25,1,7,1,6,1,7,2,6,1,28,2,30,1,28,1,29,1,30,1,28,3,30,1,28,18,30,1,28,3,7,1,28,1,8,1,30,1,29,1,30,1,8,1,6,1,29,2,6,1,7,2,29,1,6,1,7,1,29,1,13,1,8,1,6,1,7,1,6,2,13,1,8,1,28,1,25,1,6,1,25,1,29,1,6,1,29,1,7,1,28,1,6,1,30,1,25,1,28,1,6,1,28,1,6,2,25,1,6,2,7,1,6,1,29,1,6,2,29,1,6,1,29,1,30,1,7,1,29,1,25,1,6,3,30,1,6,1,7,1,29,1,6,3,7,1,25,3,24,1,8,1,13,2,8,3,13,1,24,2,8,1,17,1,24,1,12,1,13,1,8,1,12,3,8,1,24,1,10,1,24,2,8,1,24,1,8,2,30,1,6,1,30,1,8,1,24,1,25,4,8,1,6,1,25,1,29,1,25,1,29,1,25,1,24,1,26,1,8,1,25,1,6,1,8,1,13,1,24,1,10,1,8,1,24,1,9,1,10,1,12,2,17,1,10,2,12,2,17,6,10,1,17,2,12,1,24,1,13,2,25,1,7,1,25,1,6,1,25,1,6,1,25,1,24,1,27,1,25,2,26,1,27,1,25,1,29,1,6,1,26,1,25,1,29,3,30,2,27,1,29,1,7,1,6,1,7,1,27,2,25,1,6,1,13,2,30,1,6,1,29,1,28,7,30,1,6,1,8,1,25,1,8,1,13,1,8,1,24,1,8,1,12,1,24,1,12,2,24,1,10,1,8,1,24,1,10,1,9,1,10,1,24,1,8,2,24,1,8,2,13,1,8,2,24,3,8,1,24,2,10,2,17,1,8,1,12,1,17,1,12,3,17,3,10,1,17,2,12,1,10,1,12,2,10,1,9,1,24,2,8,1,10,1,13,1,24,1,6,1,8,1,6,1,7,1,6,1,8,2,25,1,7,1,25,1,24,1,8,1,24,2,29,1,30,1,25,1,13,1,8,1,29,1,8,1,7,1,8,1,7,1,13,2,12,1,24,1,9,1,8,1,10,1,8,1,17,1,11,1,12,1,17,2,10,1,12,2,17,11,28,31,30,1,6,1,30,2,28,10,30,1,7,1,6,1,28,1,30,1,28,15,30,1,28,1,9,1,8,2,9,1,11,1,17,4,9,4,11,1,9,1,13,5,9,1,13,2,6,2,13,2,6,2,13,1,6,1,30,1,13,1,29,1,13,1,6,1,7,1,13,1,6,1,13,1,6,3,13,2,30,2,10,1,9,1,8,1,9,1,13,1,10,1,13,1,6,1,7,1,6,1,28,37,30,1,28,1,29,1,30,1,28,6,6,3,28,1,6,1,28,15,6,1,28,2,6,2,28,4,6,1,28,3,30,1,28,93,30,1,29,1,30,3,28,7,29,1,11,1,16,1,15,1,11,1,12,1,15,1,9,1,24,2,7,1,6,2,29,1,28,1,6,1,30,1,28,2,6,1,28,1,6,2,13,1,8,1,15,2,24,1,12,1,13,1,28,7,7,1,11,2,13,1,28,36,30,1,10,1,12,1,29,1,28,1,30,2,8,1,9,1,24,1,8,1,6,1,28,5,6,1,28,1,24,1,8,1,9,1,7,1,28,6,13,1,24,1,28,6,29,1,13,1,6,1,8,2,13,1,8,1,24,1,7,1,13,1,29,1,6,1,10,2,11,1,8,1,28,3,29,1,13,1,8,1,7,1,28,2,29,1,7,1,13,2,24,1,9,1,24,1,10,1,12,1,9,1,13,1,11,1,10,1,9,1,8,2,17,5,16,1,11,1,8,1,17,5,10,1,6,1,28,16,30,1,}, {13,1,8,1,13,1,8,1,13,1,6,2,7,2,6,1,7,1,13,1,6,2,13,1,7,1,13,1,29,1,6,1,13,1,8,1,13,1,8,1,11,1,9,1,13,1,8,2,13,1,8,1,13,2,7,1,13,1,8,1,11,1,17,7,9,1,6,1,29,1,28,5,6,2,13,1,10,1,8,1,28,5,6,1,8,1,9,1,8,3,28,1,30,1,28,7,30,1,28,1,13,1,10,1,30,1,28,45,7,1,29,1,6,2,8,2,13,1,28,2,30,1,6,1,13,1,10,1,8,1,13,1,30,1,13,3,7,1,6,1,13,1,8,1,28,1,13,1,28,1,6,1,30,3,6,1,13,1,8,1,13,1,10,1,17,1,7,1,6,1,28,1,30,1,6,1,8,1,12,1,17,2,13,1,11,2,9,1,8,2,9,1,6,3,13,2,9,2,7,1,30,1,29,2,13,2,6,1,28,29,30,1,28,4,6,1,30,2,28,1,6,1,13,1,8,1,7,1,28,5,7,1,12,1,24,4,8,1,6,1,13,1,6,1,29,1,6,1,13,1,30,1,6,2,29,1,28,1,30,1,6,1,29,1,13,1,7,1,10,1,8,1,12,1,17,1,12,1,15,1,14,2,15,1,28,1,30,1,28,8,29,1,30,1,28,4,29,2,6,1,30,1,7,1,29,1,28,1,6,1,28,1,6,1,30,1,28,1,6,1,30,2,28,1,30,2,28,1,30,1,28,6,6,1,30,1,6,1,30,2,28,2,6,1,28,1,30,1,6,1,28,1,13,1,28,1,30,2,7,1,28,1,30,1,28,4,30,1,28,1,30,1,28,2,7,1,28,1,6,1,29,1,28,1,30,2,6,3,28,1,30,2,28,4,30,3,28,1,30,1,28,1,29,1,28,1,29,1,30,1,6,1,29,3,6,1,29,1,6,1,30,1,6,1,28,1,29,1,30,1,6,2,28,1,7,1,13,1,6,3,28,1,13,1,30,1,6,2,29,1,28,1,30,1,13,1,6,2,8,1,6,1,30,1,29,1,6,3,30,1,13,3,29,1,13,2,6,1,13,3,6,1,13,1,6,1,8,1,13,1,6,1,13,1,9,1,30,1,7,1,6,1,13,1,9,1,13,2,6,1,13,5,9,1,8,1,9,1,13,1,9,2,8,1,9,2,7,1,28,2,29,2,13,1,6,3,29,1,8,1,6,1,13,2,6,1,13,1,30,1,13,1,8,1,30,1,8,1,13,1,6,1,9,1,7,1,9,1,13,2,8,5,7,1,24,1,9,1,8,1,13,2,9,1,13,1,9,1,13,2,9,6,13,1,17,1,16,3,11,1,16,2,11,1,16,1,11,1,16,1,11,3,16,1,9,1,16,1,11,2,16,1,10,1,11,1,9,1,11,1,9,2,11,2,16,1,11,2,9,2,16,1,13,1,11,1,9,1,11,1,10,1,9,3,11,1,9,2,11,1,9,3,16,1,9,1,8,1,16,1,10,1,9,2,11,2,16,1,9,2,16,2,11,2,16,2,9,1,16,1,10,1,16,2,11,3,10,1,16,1,9,1,11,2,16,2,17,6,12,2,17,4,12,1,17,1,12,4,17,1,11,1,17,2,16,1,17,1,16,1,11,1,17,1,11,3,9,1,16,1,17,1,16,1,11,1,17,3,11,2,12,1,10,1,9,1,12,1,9,1,10,1,13,1,10,1,13,1,8,1,13,1,6,1,13,1,6,1,13,2,29,1,6,1,28,2,30,2,28,6,6,1,28,2,30,1,6,1,28,1,6,2,30,5,6,1,13,1,28,1,29,1,30,2,28,3,6,1,28,8,30,1,28,1,7,1,6,1,30,1,8,1,30,1,28,1,13,1,8,1,13,2,8,2,13,1,8,1,13,1,9,1,8,2,9,1,17,5,10,1,9,3,11,1,16,1,11,1,9,1,11,1,13,1,9,1,11,1,10,1,8,1,9,4,10,1,9,1,10,1,9,3,10,1,9,4,11,2,9,1,16,1,11,4,16,1,11,1,16,1,10,1,11,2,9,1,11,1,16,1,9,1,16,1,11,1,9,2,8,1,11,1,9,1,11,2,16,1,9,2,11,3,17,1,10,1,11,2,17,2,9,1,17,1,11,1,9,1,16,3,9,1,17,1,16,1,17,1,16,1,17,1,16,1,17,2,16,1,17,2,16,1,11,1,16,2,17,7,16,1,17,7,16,1,17,2,16,1,17,2,11,2,16,2,17,1,12,1,11,1,17,1,11,1,17,3,11,1,17,5,6,1,13,1,7,1,9,2,13,2,8,2,13,3,8,1,9,1,13,1,9,1,8,2,9,1,8,2,11,1,16,1,10,1,17,1,9,2,11,1,13,1,30,1,28,2,30,1,28,3,29,1,28,1,30,1,13,2,8,4,9,1,8,1,24,1,10,1,13,1,8,2,9,1,24,2,8,4,13,3,29,2,28,2,13,1,30,1,29,1,30,2,28,1,6,1,13,1,8,1,9,1,17,1,16,1,17,5,16,1,17,2,11,1,17,3,12,1,16,2,9,1,16,2,11,1,9,2,10,1,9,2,11,1,9,1,17,1,16,1,11,2,9,2,12,1,9,1,8,1,24,1,11,1,9,2,8,2,24,1,9,1,8,1,7,1,6,1,7,1,13,1,6,5,13,1,28,2,6,1,29,1,13,2,6,1,24,1,7,1,8,1,10,1,9,2,17,2,16,1,17,2,16,2,17,3,16,1,17,1,16,1,17,1,16,3,11,1,16,2,9,1,16,1,17,1,16,2,8,1,6,1,28,28,13,1,9,1,15,1,8,2,25,2,24,2,8,1,10,2,17,1,28,3,30,1,13,1,28,8,30,1,6,1,30,1,13,1,9,1,11,1,16,3,11,2,9,1,11,2,13,2,30,1,6,1,13,1,6,1,29,1,30,3,28,2,6,1,30,1,29,1,30,3,28,1,30,1,6,6,28,1,30,4,6,1,30,1,6,4,30,5,28,1,30,2,6,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,28,1,30,3,28,1,6,1,30,8,6,1,29,1,30,2,6,3,29,1,6,1,7,1,30,1,6,2,30,2,6,1,30,1,6,1,30,2,6,1,30,1,13,1,30,3,6,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,30,2,6,1,30,2,6,1,29,1,6,1,13,1,6,2,30,1,29,1,6,2,30,1,6,1,30,2,6,1,30,5,6,5,28,1,6,1,30,1,6,1,30,1,6,1,13,1,28,1,6,1,30,1,6,3,30,1,6,1,7,1,30,1,6,1,29,1,6,2,30,1,29,1,6,3,29,1,6,2,30,3,28,1,6,1,28,2,6,1,30,1,28,1,30,1,29,1,6,1,28,1,6,1,30,4,29,1,28,1,13,1,30,1,6,2,28,1,6,1,30,1,28,1,30,1,29,1,30,1,6,1,28,2,6,1,30,1,7,1,28,1,30,2,28,1,30,4,13,1,6,1,28,1,6,1,29,1,6,1,30,1,13,1,30,1,29,1,6,2,30,2,6,1,30,1,6,3,29,1,30,1,29,1,28,1,6,1,30,1,6,1,29,1,30,1,6,3,30,1,29,1,30,1,29,1,6,1,30,1,6,1,30,3,6,3,7,1,30,1,6,2,30,1,6,3,29,1,6,5,13,3,6,7,30,1,6,3,13,1,6,2,13,1,6,1,30,2,13,1,28,1,13,1,6,2,7,1,6,6,28,1,6,1,30,1,6,1,13,1,30,2,7,1,28,1,30,2,29,1,6,2,30,5,28,1,6,1,7,1,13,1,9,1,13,2,8,1,7,1,6,2,30,2,28,4,6,1,17,2,30,1,28,22,29,1,6,1,30,1,6,1,13,1,24,2,10,1,8,3,7,1,8,1,13,1,6,1,7,1,29,1,30,1,28,6,29,1,28,1,30,1,28,3,30,2,28,1,7,1,6,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,29,2,6,1,7,1,13,1,7,1,28,50,9,1,11,1,8,2,10,1,8,1,7,1,6,1,29,1,28,1,30,1,28,3,29,2,6,3,8,1,26,1,6,2,26,1,25,1,24,1,8,2,25,1,13,1,6,1,24,1,7,1,6,1,8,1,13,1,7,1,6,1,7,1,28,3,30,1,28,1,30,1,28,18,30,2,29,1,30,2,28,1,26,1,30,1,6,2,26,1,25,3,29,1,7,1,6,1,7,2,6,1,13,1,7,1,6,1,7,2,24,1,7,1,6,1,8,1,29,1,8,1,7,1,27,1,6,2,30,1,29,1,6,1,25,1,29,1,30,1,26,2,28,1,27,1,6,1,30,1,29,1,6,1,29,1,28,2,6,2,30,1,6,2,29,1,7,1,25,2,27,1,28,1,27,1,28,1,30,2,6,1,25,1,6,2,25,1,29,1,6,2,8,1,25,1,8,1,10,1,6,1,7,1,8,1,13,1,8,3,24,2,10,1,24,1,8,1,10,1,12,3,10,1,8,1,24,2,13,1,8,1,7,1,25,1,28,1,30,1,8,1,25,1,30,1,29,1,25,5,8,2,25,2,24,2,8,1,25,1,6,2,25,1,6,1,8,2,24,1,10,1,12,2,17,1,12,2,17,2,12,2,10,2,12,2,10,1,12,1,17,2,12,1,17,1,10,1,6,1,29,2,25,1,8,1,25,3,24,1,10,1,8,1,26,1,25,1,26,1,25,2,26,1,27,1,29,1,8,1,29,1,7,2,28,3,6,2,29,1,6,1,29,1,30,1,25,1,6,2,30,1,13,1,6,1,30,2,28,6,29,1,24,1,8,1,24,1,6,1,8,2,24,1,8,1,13,1,8,1,10,1,8,2,10,1,12,4,8,1,12,2,8,1,9,1,24,1,13,1,24,3,7,1,12,1,8,1,12,1,8,1,24,1,10,1,24,1,12,1,7,1,9,2,10,2,12,1,17,1,12,2,17,1,10,1,17,3,12,4,10,1,8,1,10,1,24,1,8,1,13,1,8,1,25,2,8,1,7,1,8,1,7,1,8,1,6,1,25,1,24,2,7,1,25,1,6,1,13,1,6,2,8,1,7,5,24,2,12,1,24,1,12,1,9,1,17,1,12,1,17,3,12,1,9,1,11,1,10,1,17,12,6,1,28,30,6,2,30,2,28,10,6,1,29,1,6,1,30,1,28,16,6,1,9,2,8,1,9,2,12,1,17,4,9,1,8,1,13,1,9,2,8,1,13,3,7,1,6,1,13,5,6,1,13,3,9,1,13,3,30,1,13,3,6,1,13,1,6,1,13,1,6,2,13,2,6,1,13,1,9,1,13,1,9,1,13,1,8,1,9,1,8,1,6,2,13,1,28,40,30,1,6,1,28,3,30,1,28,3,30,1,13,1,30,1,6,1,28,8,30,1,28,5,30,2,28,1,6,1,28,103,13,1,29,1,6,1,13,1,30,1,28,7,29,1,16,1,11,2,16,1,17,1,12,1,8,1,24,1,8,1,28,1,6,2,30,1,6,1,30,2,28,1,30,1,6,1,28,1,6,2,13,1,8,1,9,1,8,1,24,1,9,1,6,1,28,7,6,1,10,1,7,1,28,37,6,1,24,1,8,1,28,1,30,1,28,1,29,1,9,1,8,3,30,1,6,1,28,4,6,2,13,1,24,1,12,1,6,1,28,6,13,1,8,1,6,1,28,5,6,2,8,1,13,1,8,1,9,1,13,1,12,1,13,1,30,1,7,1,29,1,10,1,15,1,12,1,6,1,28,3,30,1,8,1,13,1,6,1,28,4,30,1,28,3,29,1,28,1,13,2,10,1,17,1,8,1,17,1,11,1,9,1,10,1,17,5,8,1,9,1,17,1,16,1,17,3,24,1,7,1,28,16,29,1,}, {6,1,13,1,8,1,6,1,13,1,30,1,6,5,29,1,30,1,13,1,6,2,7,1,13,1,8,2,30,1,13,2,9,1,8,1,13,4,6,1,8,1,13,2,24,1,11,2,17,7,8,1,6,1,29,1,30,1,28,3,29,1,13,1,7,1,8,1,24,1,13,1,28,5,6,1,8,1,10,1,8,1,13,2,30,1,6,1,29,1,28,7,6,2,12,1,28,45,29,1,6,1,29,1,30,1,6,1,7,1,24,1,13,1,28,3,30,1,6,1,10,1,11,1,7,1,6,1,13,1,29,1,6,2,30,2,13,1,29,1,30,1,28,1,29,1,28,1,30,1,6,3,13,2,12,1,9,1,13,1,30,2,7,1,30,1,29,1,10,1,11,1,16,1,17,1,9,1,11,1,9,1,11,1,10,1,8,2,6,1,13,1,6,1,13,1,8,1,24,1,6,1,30,2,6,1,9,1,6,2,28,27,30,1,6,1,28,1,30,1,28,1,30,1,28,3,6,1,30,1,13,1,8,1,9,1,13,1,30,1,28,2,30,1,28,1,13,1,10,1,8,1,10,1,24,1,8,1,9,2,8,1,6,1,29,2,6,1,7,1,29,2,30,3,28,1,13,2,8,2,24,1,12,1,17,1,12,1,11,1,14,2,9,1,28,9,30,1,7,2,28,6,30,1,28,1,30,3,6,1,28,8,30,1,28,1,30,1,28,4,30,1,28,2,29,1,28,4,30,2,6,1,30,1,28,1,13,1,28,2,6,1,28,2,30,3,28,3,29,1,28,1,30,1,28,1,29,2,6,1,28,1,30,1,28,2,30,3,6,1,28,1,6,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,28,2,30,2,28,3,6,2,7,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,6,1,29,1,30,1,6,3,30,1,6,1,7,1,29,2,13,1,29,1,6,3,13,3,7,1,6,1,13,1,7,1,8,1,6,1,7,1,13,1,7,1,6,3,7,1,29,1,6,1,30,1,8,1,29,1,13,1,7,1,13,3,6,2,13,1,29,1,8,1,7,1,13,1,8,1,6,1,13,1,8,1,30,1,9,1,13,1,8,1,13,1,8,3,13,2,8,1,9,2,12,1,8,1,7,1,30,1,29,1,6,1,29,1,7,1,28,1,6,3,13,1,30,1,7,1,29,1,7,1,8,1,7,1,6,1,13,1,29,1,6,2,13,1,7,1,13,1,9,1,7,1,13,1,8,1,7,1,9,1,13,1,9,1,10,1,6,1,8,1,13,2,10,1,9,2,7,1,8,1,9,4,11,1,8,1,9,2,17,1,16,3,11,1,16,1,11,7,16,1,9,1,16,1,9,1,11,1,16,1,11,1,16,1,11,1,9,1,10,1,11,1,9,2,16,2,9,3,16,1,9,5,11,2,10,1,9,1,11,1,9,1,11,1,9,1,11,3,10,1,9,2,10,1,16,2,9,1,11,1,9,1,10,1,16,1,11,2,16,1,11,1,16,1,9,1,16,1,11,1,16,1,11,1,16,5,11,2,16,2,10,2,17,4,12,1,17,4,16,2,17,1,16,1,9,1,17,3,12,1,17,1,11,1,17,4,11,1,17,3,16,1,17,3,16,2,17,3,12,1,16,1,17,1,11,2,12,2,9,1,17,1,9,2,10,1,9,2,13,4,8,1,6,1,7,2,6,1,29,1,28,1,7,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,29,1,6,2,29,1,6,1,8,1,30,1,7,1,28,1,30,2,28,1,6,2,28,4,29,1,28,1,30,1,28,7,29,2,30,1,7,1,6,2,29,1,7,1,13,1,8,2,13,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,8,1,9,2,17,4,9,2,16,1,11,2,8,1,11,1,9,2,10,1,13,1,9,2,10,1,8,1,9,1,8,1,9,1,10,1,8,1,10,1,9,1,11,1,9,2,10,1,9,1,11,2,9,1,11,1,13,1,9,1,11,1,9,1,11,1,9,1,11,3,10,1,11,1,9,1,11,2,16,1,11,2,10,1,9,1,16,2,11,1,16,1,11,3,16,1,11,1,10,1,17,1,11,1,10,1,16,1,10,1,16,1,11,1,16,2,17,2,16,1,17,1,11,1,17,2,16,1,12,1,17,2,16,1,17,2,16,1,11,1,17,2,16,2,17,1,16,1,17,1,16,1,17,2,16,1,17,7,16,1,17,2,16,1,17,5,16,1,11,1,17,1,16,3,17,3,16,4,17,4,11,1,13,1,6,1,9,1,8,1,13,3,9,1,6,1,13,1,8,1,9,2,13,4,8,1,7,1,9,1,13,1,9,1,11,1,17,2,9,3,8,2,29,1,28,6,30,1,29,2,6,1,24,2,13,1,8,1,24,1,13,2,8,1,13,1,8,2,11,1,8,1,13,2,6,1,13,2,8,1,13,1,29,2,6,2,28,1,30,1,28,1,29,1,30,1,29,1,28,1,30,2,7,1,24,1,9,1,17,7,11,1,16,3,17,1,11,2,17,1,9,1,8,1,16,1,9,3,16,1,8,1,16,1,13,1,16,1,9,1,17,1,12,1,9,2,17,1,12,1,16,1,11,1,8,1,9,2,11,1,12,1,8,1,24,1,9,1,7,1,8,2,7,1,24,1,8,1,6,1,13,1,24,2,13,1,29,1,8,1,13,1,6,1,7,2,13,1,9,1,8,1,10,1,12,1,10,1,9,1,11,1,16,1,11,1,17,2,16,3,11,1,17,5,16,1,17,1,16,2,17,1,16,1,11,1,16,3,17,1,11,1,7,1,6,1,28,27,30,1,13,1,9,2,12,1,8,2,24,2,25,1,24,1,8,1,17,1,16,1,6,1,28,3,13,1,30,1,28,8,13,1,30,1,13,2,11,1,16,3,11,3,9,1,11,1,13,1,9,1,28,1,30,1,13,1,6,1,30,10,29,1,30,5,28,1,30,2,28,1,30,1,28,1,6,1,30,3,6,4,30,1,6,1,30,5,28,1,6,1,30,4,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,3,6,2,30,3,28,1,30,2,6,1,30,4,29,1,6,1,30,1,6,1,30,6,28,1,7,1,30,2,6,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,29,1,30,1,29,1,6,6,28,1,29,1,30,1,6,1,30,2,29,1,6,1,29,1,6,2,29,1,30,1,6,2,30,5,6,1,29,1,30,1,6,1,28,1,30,3,6,3,13,2,30,2,6,2,30,1,6,2,30,1,6,1,29,1,6,1,30,2,6,5,13,1,6,1,30,1,6,1,30,2,6,1,28,1,30,2,29,1,6,1,28,1,6,2,30,2,28,2,30,6,6,1,30,1,28,1,30,1,28,3,30,2,28,1,30,1,28,2,30,2,6,1,28,2,29,1,30,2,28,1,30,5,6,2,7,1,30,10,29,1,6,1,30,3,28,1,30,10,6,2,30,1,6,1,30,1,13,1,30,1,6,2,30,1,7,1,6,2,30,1,6,2,30,1,6,1,29,1,6,5,13,1,6,3,13,1,6,1,30,1,6,3,30,1,6,2,30,2,6,1,7,1,6,4,30,1,6,1,13,2,7,1,6,1,7,1,6,1,29,1,6,1,30,2,29,1,30,2,6,1,13,1,30,1,6,1,30,1,6,2,28,1,29,1,6,2,13,1,6,1,30,3,6,1,30,3,13,1,6,1,13,1,8,1,13,4,28,1,30,1,6,1,30,1,28,3,11,1,17,2,11,1,17,1,12,1,13,1,30,1,28,1,30,1,8,1,9,1,6,1,28,15,29,2,24,1,13,1,12,2,10,1,9,1,8,1,13,1,9,1,10,1,9,1,13,2,29,1,28,2,30,1,29,1,28,5,30,1,28,1,30,1,28,5,30,2,29,1,28,1,6,1,29,1,7,1,28,1,13,2,6,1,13,2,29,1,28,50,17,1,13,1,9,1,8,2,24,1,10,1,9,1,8,2,28,1,30,1,28,2,6,1,30,2,29,1,7,3,13,1,8,2,13,1,24,1,6,1,8,2,13,1,8,3,24,1,8,1,7,1,8,1,7,1,6,1,13,1,7,1,29,1,28,2,6,1,28,19,30,1,6,1,30,1,29,1,24,1,27,2,6,1,25,1,26,1,27,1,26,1,6,2,25,1,7,2,8,1,30,1,8,1,7,1,25,1,8,1,6,1,13,1,29,2,24,1,6,2,29,1,6,1,29,1,6,1,30,1,28,1,6,1,30,1,28,2,6,1,29,3,28,1,27,1,29,1,6,1,29,1,7,1,6,1,29,1,28,1,6,2,29,1,7,1,6,1,27,1,30,1,6,1,30,2,26,1,25,1,27,1,29,1,26,1,6,1,7,1,6,1,25,1,24,1,25,2,24,1,25,1,8,1,6,1,24,1,10,2,8,1,24,5,10,1,24,2,12,1,8,1,24,1,12,1,8,1,10,2,24,1,10,1,7,1,30,1,6,1,7,2,6,2,30,1,27,2,29,1,27,1,26,1,8,1,25,1,26,1,24,2,25,1,8,1,24,2,8,1,24,4,12,3,24,1,12,1,10,1,12,1,10,1,12,4,10,1,17,1,10,1,17,1,12,1,17,1,12,1,10,1,12,1,24,1,6,1,29,1,28,1,30,1,6,1,27,2,25,1,8,1,29,1,27,1,26,1,8,1,25,2,29,2,25,1,29,1,27,2,28,1,29,1,25,1,6,1,29,2,6,1,8,1,6,1,29,1,25,1,6,1,28,1,29,1,30,1,7,1,29,1,6,1,28,7,29,1,24,1,13,1,6,1,8,2,13,1,12,1,8,1,9,2,24,1,10,1,8,1,12,1,8,1,10,1,24,1,9,1,24,3,13,1,24,1,7,1,24,1,8,1,6,1,13,1,8,2,24,1,13,1,8,1,24,1,10,2,9,1,8,1,10,1,17,1,9,1,12,1,17,2,12,1,10,1,12,2,17,1,12,2,17,2,24,1,17,1,24,1,9,1,24,2,8,2,25,1,8,3,7,1,8,1,6,1,29,1,7,1,8,1,7,1,8,1,7,1,8,1,7,2,13,1,6,1,8,1,13,1,8,1,6,1,24,1,7,1,13,2,8,2,9,1,10,1,12,1,13,1,8,1,11,1,17,1,12,1,17,2,12,1,17,12,13,1,28,29,30,1,7,1,30,1,28,11,7,1,6,1,28,19,13,1,6,1,8,2,9,1,8,1,17,5,10,1,8,1,9,1,10,1,13,1,9,1,13,5,6,1,7,1,13,1,6,1,13,1,30,1,13,1,6,1,13,2,7,1,6,2,13,7,9,1,13,4,28,1,13,3,9,2,8,2,13,3,6,1,30,1,28,48,30,1,28,125,13,1,30,2,28,7,30,1,13,1,16,4,12,1,9,1,8,1,13,1,6,1,29,1,7,1,29,2,6,1,28,1,30,1,29,1,28,1,29,1,7,1,29,1,30,1,9,1,24,1,8,1,9,1,10,1,8,1,6,1,28,7,6,1,17,1,24,1,13,1,28,36,6,1,12,1,8,1,28,3,6,1,10,1,9,1,8,1,13,1,8,1,30,1,7,1,29,1,28,1,29,1,30,1,6,1,24,1,8,2,13,1,28,6,13,1,8,1,7,1,28,4,30,1,6,3,8,2,24,3,13,1,6,2,29,1,9,1,17,1,9,1,6,1,28,4,9,1,8,1,28,14,30,1,29,1,6,1,29,1,13,1,8,1,24,1,12,1,16,1,17,2,16,1,11,1,17,2,10,1,12,1,10,1,9,1,7,1,28,17,}, {7,1,29,1,28,1,13,2,28,1,30,1,13,1,30,1,13,1,6,1,13,2,8,1,7,2,13,2,6,1,13,1,6,1,13,2,8,1,13,2,6,1,13,1,6,1,13,1,9,1,8,2,11,1,9,1,17,7,16,1,13,1,6,2,28,4,6,2,7,1,13,1,12,1,8,1,28,4,30,2,8,1,9,3,13,1,6,1,30,2,28,7,6,1,7,1,24,1,29,1,28,39,30,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,7,1,6,1,10,1,13,1,30,1,28,1,6,2,8,1,9,2,7,1,6,1,13,1,6,4,8,1,7,1,13,1,6,2,28,2,30,1,28,1,13,1,28,1,8,1,24,1,8,2,13,1,6,1,29,1,30,1,28,1,6,1,9,1,17,2,12,1,9,2,11,1,9,2,7,1,10,1,30,1,8,1,6,1,7,1,8,3,29,1,6,1,13,2,6,2,28,29,29,1,28,3,30,1,28,1,6,2,30,1,13,1,24,2,8,1,30,1,28,4,6,1,12,1,9,1,24,1,10,1,9,1,12,1,7,1,13,1,6,1,7,1,6,3,30,1,6,1,30,1,29,1,6,1,30,1,24,1,6,1,8,1,24,2,12,1,17,1,12,1,9,1,15,1,14,1,9,1,30,1,28,10,30,1,28,4,30,1,28,1,6,1,30,1,28,1,6,1,29,2,30,1,28,2,6,1,30,1,6,1,30,1,28,1,30,1,28,4,6,1,28,3,6,1,28,2,30,1,29,1,30,1,6,1,28,2,6,2,28,1,6,1,8,1,29,2,13,1,28,2,30,1,28,5,30,1,28,4,29,1,28,1,6,1,29,1,6,1,13,1,30,1,7,1,30,1,28,1,30,2,28,6,30,1,28,1,30,1,28,1,30,1,28,1,7,1,28,1,30,1,6,3,28,1,7,1,6,1,29,1,6,1,30,1,28,1,30,2,28,1,29,1,6,2,13,1,7,1,13,1,30,1,6,1,8,1,6,2,13,1,29,1,30,1,13,1,6,1,30,1,6,1,13,1,7,1,13,1,29,1,6,2,13,1,7,1,13,2,7,1,13,1,7,1,13,1,7,1,13,3,8,1,13,1,8,1,7,1,29,1,13,2,6,2,13,1,6,1,7,1,9,1,8,1,13,8,9,3,8,1,9,2,10,1,6,1,28,1,6,1,29,1,6,1,29,1,28,1,6,1,29,1,30,1,13,1,6,1,9,1,28,1,6,1,8,1,6,2,7,2,30,1,6,1,13,1,6,1,8,1,6,1,13,2,6,1,24,1,8,1,29,1,9,1,13,1,7,1,8,1,10,1,13,1,8,2,9,1,13,1,9,1,13,1,8,1,9,2,16,1,8,1,9,2,17,1,16,3,11,1,16,1,11,3,17,1,11,3,16,1,9,1,11,3,16,1,11,4,9,1,11,4,10,1,11,1,9,1,10,1,9,5,10,1,9,7,11,2,9,1,10,1,11,1,16,1,9,1,11,1,9,2,11,2,10,1,16,4,11,1,16,2,9,1,16,1,9,1,11,1,17,1,16,1,11,3,16,1,11,1,16,1,11,3,17,6,12,1,17,1,9,1,17,3,11,2,9,1,17,1,12,1,17,1,11,2,17,5,11,1,17,5,11,1,17,5,11,1,16,2,17,1,16,1,12,1,17,1,9,1,11,1,17,1,9,1,11,1,8,1,11,1,10,1,13,1,9,1,6,1,8,1,29,1,6,2,13,1,30,3,28,7,30,1,28,5,30,1,28,1,13,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,6,1,28,11,30,2,28,1,30,1,29,1,6,1,29,2,6,2,8,1,13,1,7,2,8,1,6,1,13,4,8,1,13,1,7,1,13,1,16,1,17,3,16,1,11,1,16,1,9,1,10,1,8,1,11,1,9,2,13,1,11,1,8,1,9,4,13,1,9,3,8,1,13,1,9,1,8,1,11,1,9,5,10,1,9,2,11,1,9,3,11,1,9,1,16,2,11,4,9,1,11,1,9,3,16,1,11,3,13,1,10,1,17,1,9,2,11,1,9,1,11,2,16,1,11,1,16,2,11,1,16,1,17,2,11,1,12,1,17,4,10,1,17,4,16,1,17,3,11,1,16,1,17,10,11,1,17,1,16,2,17,5,16,1,17,4,12,1,17,2,16,1,11,2,16,1,12,1,11,1,17,1,11,5,17,3,13,1,8,1,9,1,13,1,7,1,9,1,8,1,13,2,9,1,13,1,9,1,11,1,8,3,13,1,6,1,13,1,9,1,10,1,9,1,12,1,16,1,12,1,10,1,11,1,9,1,8,1,7,1,6,1,28,3,30,1,28,4,30,1,6,1,7,1,13,2,8,2,9,1,24,1,13,1,24,1,13,2,10,1,8,1,24,1,8,3,13,1,7,1,30,1,7,1,30,1,6,2,28,1,6,1,29,1,28,4,29,2,6,1,8,1,13,1,9,1,17,5,11,1,16,1,11,1,17,2,12,1,11,1,17,1,11,2,10,1,11,3,9,1,11,2,9,2,12,1,16,1,9,1,12,1,17,1,11,1,16,1,11,1,9,2,16,1,9,1,8,1,11,1,13,1,9,2,11,1,24,1,8,1,9,1,8,1,13,3,8,1,13,1,6,1,13,6,8,1,9,1,13,1,9,1,8,1,9,1,10,1,9,2,11,1,16,1,9,1,17,1,11,1,16,2,11,1,17,1,16,2,17,1,16,2,17,3,11,2,16,1,11,1,16,3,11,1,13,1,30,1,28,28,6,1,13,1,9,1,10,1,8,1,25,1,24,2,25,1,24,2,17,1,11,2,28,3,6,1,28,9,7,1,30,2,13,1,8,1,11,1,16,2,11,1,16,1,11,3,9,1,13,1,6,1,30,1,6,1,30,1,29,1,30,13,29,1,30,1,6,1,30,1,29,1,30,2,28,1,30,4,29,1,30,1,29,1,6,2,30,2,28,1,30,2,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,13,28,1,6,1,30,2,6,1,30,3,6,1,28,1,30,4,28,1,6,1,30,2,6,1,30,1,6,2,28,1,30,1,29,1,6,4,30,3,6,1,30,5,29,1,7,1,30,2,6,3,29,1,30,2,6,1,30,1,6,3,30,1,29,1,6,1,30,2,28,1,30,7,6,1,30,1,29,1,6,1,30,1,6,2,30,1,28,1,6,1,13,1,7,1,13,1,30,1,6,1,30,1,6,2,13,1,30,1,6,1,30,1,6,1,29,1,30,2,6,1,30,3,6,2,13,1,6,2,30,3,6,1,30,3,6,3,30,4,28,1,30,1,6,1,30,7,28,1,30,2,28,1,30,1,28,1,29,1,30,7,6,1,30,2,28,1,30,1,29,1,30,1,28,1,6,1,30,4,28,1,30,4,28,1,30,3,28,1,30,1,6,4,29,1,28,1,30,1,28,1,30,1,29,1,30,3,6,1,30,1,29,1,30,1,29,1,30,3,6,1,13,1,30,6,6,2,30,1,29,1,30,2,7,1,30,1,6,3,30,1,6,1,13,1,6,2,30,1,6,1,30,2,28,1,6,1,7,1,30,2,6,1,29,1,6,1,13,1,30,1,6,2,30,1,6,5,30,1,6,3,30,1,6,4,7,1,13,1,6,1,13,1,6,2,7,1,13,1,7,1,13,1,28,1,6,2,13,1,30,4,28,1,13,4,6,1,13,3,30,1,28,1,6,1,28,3,13,1,9,1,11,1,9,3,17,5,12,1,17,2,12,1,9,1,8,1,13,1,6,2,9,3,13,1,28,3,6,2,10,1,11,1,17,2,12,1,17,2,10,1,24,1,8,1,9,1,8,2,13,1,7,1,29,1,28,6,30,1,28,9,29,1,28,1,6,1,30,1,7,1,29,1,13,1,8,2,13,2,8,1,13,1,6,1,28,21,30,2,29,1,28,27,17,1,8,1,13,1,10,1,8,1,7,1,24,1,8,1,24,1,8,1,24,1,7,1,13,1,30,1,13,1,29,1,13,1,29,1,30,1,6,2,7,2,13,1,8,1,9,1,6,1,8,2,13,2,8,1,10,1,8,1,13,1,24,1,7,1,8,2,7,2,29,1,7,1,29,3,30,1,28,2,30,1,28,11,29,1,6,1,28,2,29,1,30,2,6,3,25,2,6,1,25,3,26,1,25,1,29,1,30,1,7,1,30,1,6,1,8,1,25,1,29,1,7,1,8,2,25,1,29,1,6,1,25,1,29,1,25,1,8,1,30,1,27,2,6,1,30,1,27,1,6,1,30,2,6,1,30,1,6,2,25,1,6,1,25,1,30,1,26,1,30,1,6,1,30,1,25,1,29,3,6,1,30,1,6,1,29,1,30,1,29,1,28,1,25,1,6,1,30,2,28,1,6,1,29,1,6,1,25,1,8,2,7,1,24,2,8,3,7,1,24,5,10,1,17,1,24,2,13,1,10,1,8,1,12,1,13,1,24,1,8,1,7,1,24,1,8,1,12,1,8,1,29,3,27,1,8,2,27,1,29,1,26,1,27,3,25,1,26,1,8,1,25,1,26,1,8,1,7,1,24,1,7,1,24,1,8,1,24,2,12,1,24,1,12,1,24,1,10,2,9,1,12,1,10,1,12,2,17,1,9,1,17,1,12,1,17,1,12,1,10,1,17,1,10,1,29,1,28,1,7,1,29,2,7,1,29,1,6,2,25,2,27,1,25,1,27,1,29,1,26,1,25,1,29,2,27,1,26,1,30,1,28,2,25,1,27,2,29,1,6,2,29,1,25,1,29,2,6,1,29,1,6,1,7,1,6,1,7,1,28,7,7,1,8,1,7,1,24,2,8,1,12,1,24,4,9,1,24,3,8,3,24,1,13,1,8,1,24,3,13,1,8,1,24,2,8,1,7,1,8,1,13,1,10,2,24,1,9,1,24,1,12,1,8,1,12,1,7,1,12,1,10,1,12,3,17,1,12,3,17,1,12,2,10,1,17,1,12,2,24,1,8,1,24,1,13,1,8,1,7,1,25,1,8,1,6,1,8,1,13,1,29,1,8,1,24,1,6,3,8,1,7,2,29,1,7,1,6,1,13,3,24,2,8,1,12,1,13,1,24,1,10,1,17,3,10,2,9,1,12,1,9,1,17,14,6,1,28,29,30,2,28,11,13,1,29,1,28,1,30,1,28,17,6,1,8,1,9,1,8,1,9,3,12,1,17,5,8,1,9,1,13,1,9,1,8,1,13,3,6,1,13,1,7,1,13,3,6,1,30,1,13,2,6,1,13,3,30,1,13,2,6,1,7,1,6,1,9,1,13,1,6,1,13,1,6,2,13,1,6,1,13,2,9,3,8,1,13,4,6,1,30,1,28,50,30,1,28,18,30,1,28,95,30,1,28,7,30,1,6,1,29,1,30,2,28,7,13,1,17,1,9,2,10,1,9,1,13,1,6,1,13,2,28,1,6,1,29,1,30,1,29,1,28,3,7,1,6,4,24,1,8,2,24,1,9,1,11,1,28,8,13,1,10,1,9,1,13,1,28,36,6,1,13,1,7,1,30,1,28,2,30,1,12,1,8,1,9,1,6,2,28,1,29,1,30,1,29,1,30,1,6,1,7,1,24,1,8,1,9,1,13,1,28,6,8,1,9,1,29,1,28,4,30,2,29,1,6,1,13,1,8,1,24,1,8,2,13,1,29,1,28,1,29,1,8,1,17,1,9,1,29,1,28,4,24,1,13,1,28,18,30,1,28,1,30,1,28,1,6,1,13,1,8,1,13,1,11,1,12,1,17,3,10,1,9,1,7,1,28,17,}, {28,1,30,1,6,3,30,1,13,1,7,1,6,1,28,1,6,1,29,1,6,2,7,1,13,1,6,1,8,1,13,2,9,1,6,3,8,1,13,3,9,1,13,1,8,3,12,2,17,6,16,2,8,1,6,1,30,3,29,1,28,2,7,1,13,1,8,1,15,1,8,1,29,1,28,3,30,1,28,1,6,1,12,1,9,1,8,1,13,1,29,1,6,1,30,1,28,7,29,1,13,1,12,1,28,45,30,1,29,1,6,1,30,1,6,1,29,1,11,1,13,1,6,1,28,1,30,1,29,1,24,1,12,1,9,1,7,1,13,1,7,1,13,3,6,1,7,1,6,1,29,1,6,1,30,1,28,3,29,1,6,1,28,1,13,1,6,1,12,1,8,2,6,1,30,1,28,2,6,1,9,1,17,3,10,1,9,2,24,1,9,1,13,1,9,1,30,1,13,1,7,1,8,1,24,1,8,1,30,1,7,1,29,1,6,1,13,1,8,1,30,1,28,27,29,1,28,5,6,2,30,1,28,1,6,1,7,1,13,2,9,1,28,4,30,1,7,1,24,3,10,1,8,2,6,1,24,1,6,1,7,1,30,1,6,1,13,1,6,1,29,1,6,2,29,1,6,1,7,2,24,2,9,1,12,2,17,1,12,1,15,1,14,1,8,1,30,1,28,9,30,1,13,1,28,5,29,1,30,1,29,1,6,2,29,1,6,1,30,1,7,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,29,1,28,3,30,1,6,1,30,1,28,1,30,2,28,2,6,1,30,3,28,1,13,1,28,1,30,2,28,2,30,1,28,2,29,1,30,1,28,7,30,1,28,1,6,3,29,1,30,1,6,2,28,1,30,2,28,5,30,1,28,1,30,1,28,3,30,2,6,1,28,1,6,1,28,1,30,1,29,2,6,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,6,2,13,1,6,1,13,1,24,1,6,1,13,1,28,1,7,1,29,1,6,1,30,1,6,2,8,1,6,1,13,1,7,2,6,1,7,1,13,2,6,6,13,2,6,1,8,2,9,1,13,4,6,2,7,1,6,1,13,1,8,1,13,1,8,1,13,1,30,1,9,1,6,1,13,1,8,1,7,1,13,1,9,2,8,2,9,2,11,1,9,2,30,1,28,1,29,1,6,1,30,3,7,1,6,1,30,1,6,3,8,1,6,2,13,1,6,1,7,1,28,1,13,1,6,2,7,2,6,1,13,1,8,1,6,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,10,2,13,1,9,1,13,1,8,1,9,1,7,1,9,2,8,1,9,1,8,1,13,1,11,1,17,1,16,4,11,1,9,1,11,1,16,4,11,1,16,1,17,1,16,1,9,1,11,2,16,1,9,1,11,1,9,1,11,1,9,1,16,1,17,1,10,1,9,1,11,1,9,1,8,1,9,2,11,1,9,2,11,1,8,1,10,1,11,1,9,5,16,1,11,1,9,1,11,1,10,1,11,1,9,1,11,1,9,1,17,1,16,1,11,1,9,1,11,4,16,1,11,4,9,1,11,2,17,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,11,2,17,5,16,1,17,2,9,1,11,1,17,1,9,1,17,2,9,1,17,2,9,1,17,2,11,1,12,1,17,2,12,1,11,1,17,3,11,1,12,1,16,1,17,4,11,1,12,1,16,1,11,1,17,2,11,1,17,1,9,1,12,1,8,1,10,1,9,1,8,1,11,1,9,1,13,1,9,1,8,1,6,1,9,1,8,1,7,2,30,1,6,1,29,1,30,1,28,5,30,1,28,3,30,1,6,2,7,1,28,1,6,1,30,1,28,1,29,1,6,1,28,2,29,1,6,1,28,1,6,1,28,2,30,1,28,5,30,1,28,1,29,1,28,1,6,3,29,1,6,1,7,1,8,1,13,1,6,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,24,1,7,1,13,1,9,1,13,1,8,1,11,2,16,2,9,2,11,2,9,1,10,1,9,3,11,1,8,2,9,2,13,1,9,5,16,1,9,6,11,1,9,1,11,1,9,1,11,4,9,1,17,1,16,1,11,1,10,1,11,2,9,1,10,1,9,6,11,7,9,1,16,1,11,1,17,1,16,1,10,1,8,1,11,2,16,1,17,1,16,1,9,1,10,1,17,1,12,1,16,1,12,1,17,3,16,1,17,1,16,6,17,2,11,1,17,4,11,1,17,4,16,1,17,10,11,1,17,2,9,1,16,1,11,3,17,1,10,1,13,1,10,1,11,1,9,1,10,1,9,2,11,1,17,2,13,1,9,3,13,1,10,1,13,4,9,1,8,1,9,1,13,1,8,1,13,2,8,1,9,2,10,1,9,1,16,1,9,1,17,1,10,1,8,1,10,1,8,1,9,1,8,2,30,1,28,8,30,1,13,1,24,1,9,1,24,1,9,1,8,1,7,1,10,1,13,2,9,1,8,1,24,1,8,1,7,2,13,1,6,2,30,1,6,1,30,2,6,1,30,1,29,1,30,2,28,4,6,1,29,1,7,1,24,1,17,7,16,3,17,1,16,1,11,1,12,1,16,1,12,1,11,1,10,1,9,2,11,1,8,1,11,1,10,1,13,1,11,2,12,1,17,1,16,1,11,1,17,1,11,1,16,1,10,1,9,2,10,1,16,1,12,1,9,2,13,1,9,2,8,1,9,1,8,3,13,1,9,1,13,2,8,2,9,3,8,1,9,1,10,1,9,1,8,1,11,1,9,2,10,1,11,2,9,1,16,1,9,1,16,1,17,1,16,2,17,1,16,1,17,6,11,2,16,1,17,1,16,2,11,1,13,1,28,29,13,1,12,1,24,1,10,1,25,2,8,1,24,1,25,1,24,1,6,1,17,1,12,1,17,1,6,1,28,3,6,1,28,7,30,1,28,1,7,1,13,3,11,1,9,1,17,1,16,1,11,2,16,1,9,2,6,1,28,1,13,2,28,1,6,2,28,1,30,9,6,1,30,2,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,3,6,3,13,1,6,1,30,6,28,1,30,4,28,1,30,3,6,2,30,5,29,1,30,2,29,1,28,1,30,1,6,2,30,3,29,1,6,1,30,5,6,2,30,1,6,1,30,1,7,1,6,1,30,1,6,2,29,1,30,2,6,2,29,1,6,3,30,3,6,1,30,1,6,1,30,2,29,1,6,1,29,1,6,3,30,2,6,2,30,2,29,1,30,2,13,1,6,1,7,2,30,2,6,1,30,1,28,2,30,4,28,1,30,2,6,1,30,1,28,1,29,1,13,2,29,1,6,1,30,1,6,1,30,1,28,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,4,28,1,6,1,29,1,30,6,29,1,30,1,28,1,30,1,6,1,30,1,28,2,30,3,28,1,30,1,28,1,30,1,29,1,28,1,30,6,6,1,30,1,29,1,28,1,30,3,6,1,30,1,29,1,30,1,6,1,30,4,28,1,30,5,28,1,6,1,28,1,30,3,28,1,30,1,28,1,30,1,29,2,30,2,6,2,28,1,30,1,28,1,30,1,6,1,28,1,29,1,30,1,28,2,6,1,30,2,28,1,30,2,28,1,30,3,6,1,28,1,6,3,29,1,6,1,30,4,13,1,29,1,6,3,30,4,29,1,6,1,28,1,30,1,29,2,30,1,29,1,6,1,29,1,30,1,13,2,6,2,13,1,7,1,30,1,6,2,30,1,6,1,29,1,6,1,7,1,6,1,7,1,6,1,30,2,6,2,13,1,6,2,7,1,30,2,6,2,30,3,6,3,30,4,6,1,13,1,8,1,13,1,9,1,13,3,6,1,30,1,6,1,30,2,28,1,6,1,12,1,8,2,13,1,8,1,9,2,24,1,9,2,12,1,10,1,12,1,24,1,10,1,17,1,12,3,17,1,12,1,11,1,17,5,12,2,17,1,11,1,10,1,9,1,10,1,24,1,10,1,12,1,9,1,24,1,8,1,24,1,7,1,29,1,28,19,29,1,13,3,24,1,8,1,9,1,8,1,6,1,8,1,13,1,6,1,28,23,30,2,6,1,30,1,28,25,11,1,9,1,8,1,11,1,13,1,24,1,8,1,9,1,13,1,11,1,9,1,24,1,9,2,8,1,13,1,8,1,13,2,6,1,13,1,8,1,6,1,13,1,7,2,8,2,24,1,9,1,10,1,9,2,11,1,24,3,8,1,24,1,6,1,13,1,7,1,13,1,30,1,28,1,7,1,29,1,6,1,28,12,30,1,28,1,29,1,28,1,30,1,28,1,30,1,29,2,6,1,29,1,8,1,29,1,26,1,27,1,26,1,6,1,27,1,26,1,25,1,28,1,8,1,25,1,26,1,29,1,25,2,6,1,29,1,7,1,6,1,25,2,29,1,25,1,29,1,25,1,26,2,29,1,27,1,6,1,30,1,29,1,6,1,25,1,30,1,25,1,6,1,30,1,25,1,27,1,29,2,27,1,30,1,6,1,27,1,7,1,6,1,28,1,30,1,6,1,29,1,6,1,30,1,6,2,30,1,29,1,30,1,25,1,27,1,25,1,7,1,30,1,25,1,27,1,25,1,8,3,7,1,8,1,24,1,13,1,24,1,8,2,7,1,24,4,12,1,24,1,8,2,10,1,24,1,10,1,8,1,10,2,24,3,8,1,29,2,25,3,27,1,26,1,29,1,8,1,6,2,25,1,8,1,25,1,24,1,25,1,7,1,25,1,8,1,25,1,24,1,25,1,8,1,24,2,12,1,24,1,12,2,17,1,12,1,10,1,17,1,10,1,12,1,17,2,12,2,10,1,17,3,12,1,10,1,13,1,28,3,30,1,29,1,30,1,29,1,25,1,27,1,26,1,29,1,27,1,26,1,30,1,25,1,27,1,26,2,28,1,30,1,27,1,25,1,27,1,6,1,25,1,29,1,30,1,29,1,6,3,7,1,6,2,29,1,30,1,29,1,6,1,29,1,28,1,30,1,28,5,8,1,7,1,9,1,8,1,12,1,8,1,13,1,10,1,12,1,10,1,8,1,9,2,24,1,12,2,24,2,9,2,24,1,13,1,8,1,10,1,24,1,8,2,24,4,13,1,24,1,8,1,10,1,12,1,8,1,24,1,8,1,17,1,8,1,12,1,10,2,17,1,12,1,17,1,12,2,17,1,12,1,17,4,12,1,9,1,24,2,13,2,7,1,13,1,7,2,25,1,7,2,13,1,6,3,13,1,24,1,8,3,7,1,8,1,6,1,8,2,7,1,8,1,24,1,13,1,9,1,13,1,10,1,24,1,12,1,24,2,9,1,12,1,9,1,17,3,12,1,17,12,13,1,28,27,30,1,6,2,30,2,28,8,30,1,7,1,29,1,30,1,28,19,8,3,13,1,9,1,13,1,9,1,17,5,12,1,17,1,8,1,9,4,6,1,13,1,8,1,30,1,6,3,13,1,6,3,8,1,6,3,7,1,30,1,13,1,28,1,30,1,13,1,29,1,7,2,13,3,6,1,28,1,13,2,6,1,13,1,9,1,8,1,13,1,11,1,13,3,6,1,13,1,28,173,6,1,28,9,30,1,6,1,8,1,16,1,10,2,9,1,8,1,13,1,6,1,30,1,6,2,13,1,30,1,6,1,29,1,6,1,7,1,29,2,6,1,13,1,6,1,13,1,8,1,10,2,24,1,9,1,8,1,29,1,28,7,13,1,8,2,7,1,28,35,29,1,6,1,9,1,8,1,6,1,28,3,8,2,6,1,30,1,29,1,28,1,29,1,28,1,30,1,6,1,7,1,6,1,24,2,10,1,7,1,28,6,24,1,6,1,30,1,28,5,29,1,7,2,8,1,24,1,13,1,8,1,24,1,7,1,29,1,6,1,29,1,9,1,10,1,8,1,6,1,28,4,7,1,8,1,28,26,29,1,28,1,29,2,6,1,13,1,6,2,28,4,30,1,28,12,}, {28,4,6,1,29,1,30,1,7,1,13,1,29,1,8,1,13,3,6,1,13,1,7,1,8,2,13,1,7,1,6,1,29,1,13,1,7,1,6,1,8,4,13,1,24,1,10,1,9,1,12,1,17,7,16,1,8,1,7,1,29,1,28,1,30,2,28,2,13,1,29,1,13,1,9,1,24,1,28,5,30,1,13,1,9,2,24,1,8,1,6,1,29,1,30,1,28,7,30,1,8,1,17,1,6,1,29,1,28,41,30,1,28,1,30,1,28,2,29,1,6,1,8,1,24,2,30,1,28,1,7,1,6,1,13,1,9,1,15,1,8,2,7,1,13,2,6,1,13,1,9,1,6,2,13,1,28,6,30,1,7,1,13,1,17,1,10,1,6,1,30,1,29,1,28,2,6,1,12,1,17,2,16,1,9,1,12,1,13,1,10,1,9,3,13,1,28,1,6,2,8,1,24,1,6,2,13,1,7,1,6,2,30,1,28,26,29,1,6,1,28,7,6,2,29,1,13,1,8,1,7,1,24,1,30,1,28,2,30,1,29,1,6,1,9,1,24,1,9,2,8,2,6,1,8,1,7,2,29,1,30,1,6,2,29,1,6,1,7,1,6,1,30,1,13,2,24,1,13,1,8,1,17,1,12,2,17,1,15,1,14,1,10,1,30,1,28,10,6,1,28,3,30,1,28,3,6,4,30,1,28,4,30,1,28,2,30,1,6,1,30,1,29,1,30,2,28,2,30,1,28,5,30,2,28,1,30,2,6,1,29,1,13,1,8,1,6,1,30,3,28,1,30,6,28,1,30,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,29,2,6,1,28,1,30,1,28,6,30,1,28,2,30,3,28,5,6,2,30,1,6,2,28,1,7,1,28,1,30,1,29,1,30,1,29,1,6,3,7,1,13,1,6,1,29,1,30,1,6,2,13,6,30,1,6,3,8,1,13,2,6,1,13,1,7,1,8,1,6,1,7,1,13,1,29,1,6,1,24,1,6,1,30,1,6,1,13,3,9,1,13,1,9,3,10,1,9,1,10,1,16,1,13,2,8,1,13,1,7,1,13,1,9,1,6,1,13,2,9,1,8,2,13,1,16,1,11,1,9,2,29,1,30,1,28,1,6,1,28,1,29,1,6,1,30,1,6,4,28,1,13,1,29,1,6,1,8,1,29,1,13,1,6,3,13,1,6,1,24,1,6,1,13,1,7,3,6,1,13,1,8,1,13,2,8,1,9,3,10,1,13,2,8,1,9,2,11,1,9,3,11,3,16,1,11,4,16,3,9,2,11,2,9,2,11,1,9,1,11,1,16,1,17,1,9,3,16,1,11,3,16,1,11,1,9,3,8,1,12,1,9,7,11,1,9,2,8,1,11,1,9,2,11,3,9,3,16,1,9,1,10,1,9,1,16,1,11,1,16,1,11,1,17,1,16,3,9,1,11,1,16,1,9,1,16,1,11,1,17,1,16,2,11,2,16,3,11,1,17,1,16,1,17,5,16,2,17,1,11,2,17,2,10,2,12,1,9,1,17,1,9,1,17,1,11,2,17,3,11,1,17,1,11,1,10,1,17,1,12,1,16,1,17,7,12,1,17,1,11,1,17,1,11,1,12,1,9,1,11,1,9,5,8,2,7,2,13,1,29,1,7,1,6,1,30,1,6,1,28,1,30,1,28,1,30,2,28,1,7,1,30,1,28,2,30,1,28,1,13,1,28,1,30,2,28,1,29,1,30,2,28,1,29,1,28,1,30,1,28,2,29,2,28,4,30,1,28,4,30,1,28,2,6,1,30,2,6,2,29,1,13,2,24,1,13,2,6,1,13,1,24,1,13,3,9,1,7,1,10,1,9,1,17,3,11,2,9,4,8,1,11,1,9,1,10,1,9,1,13,1,9,2,10,1,11,1,9,1,16,1,11,1,9,3,11,1,9,1,11,2,9,3,11,1,9,1,16,1,9,1,11,1,16,1,9,1,11,3,9,2,11,2,9,2,8,1,13,1,9,2,17,1,11,1,12,1,17,2,13,1,9,1,16,1,11,1,17,1,12,1,9,1,16,1,11,1,17,1,11,1,17,2,11,1,17,5,16,1,11,1,12,2,17,5,11,1,17,2,16,1,17,9,16,1,17,2,16,1,17,1,16,1,17,2,16,1,17,2,12,1,17,1,11,1,17,1,16,1,11,1,16,1,9,1,17,1,8,1,17,1,9,1,16,1,17,1,11,1,16,1,12,1,9,1,11,1,12,1,13,1,10,1,17,1,13,2,8,1,13,1,24,1,13,1,8,1,13,1,8,1,6,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,10,2,9,3,10,1,17,1,8,2,24,2,7,1,28,7,29,1,6,2,13,2,8,1,13,1,8,3,24,2,8,1,13,1,9,2,8,1,7,1,13,1,7,1,8,1,30,1,13,1,8,2,7,2,6,1,28,7,29,1,30,1,13,2,9,1,17,5,11,1,16,1,17,2,8,1,17,1,10,1,16,1,9,1,11,2,9,1,11,1,9,1,8,1,9,1,10,1,11,2,17,1,12,1,17,3,16,1,17,1,10,1,11,2,9,1,11,1,9,6,8,1,10,1,9,1,10,1,9,2,8,1,9,2,8,2,13,1,7,1,8,1,9,1,11,3,9,1,8,1,11,5,16,3,17,1,16,1,11,1,17,2,11,1,16,1,11,1,9,1,16,2,11,2,16,3,11,1,16,1,17,1,16,1,6,1,28,29,13,1,12,1,24,1,10,1,8,1,25,1,26,1,25,2,8,1,24,1,17,3,9,1,28,2,30,3,28,6,30,1,6,1,30,1,13,4,11,1,16,1,11,2,16,1,11,2,9,2,30,1,13,1,6,1,30,1,6,2,30,1,28,1,30,4,28,1,30,2,6,1,30,2,28,1,6,1,28,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,3,13,1,6,2,30,3,28,1,6,1,28,1,30,1,28,1,30,1,6,1,30,3,6,1,30,2,29,1,6,1,29,1,30,1,28,2,30,1,6,1,30,2,6,2,28,1,30,2,29,1,6,1,30,1,29,1,30,4,6,1,30,1,6,1,28,1,30,2,6,1,30,1,6,2,30,2,6,1,30,1,13,1,6,1,13,1,6,1,30,2,6,1,30,3,29,1,30,2,6,2,30,5,6,3,30,5,6,1,30,1,7,1,30,1,6,3,30,7,28,1,13,1,6,1,30,1,28,1,6,3,30,2,28,1,29,1,30,1,28,1,6,1,30,2,6,1,28,1,6,1,30,2,6,1,30,3,6,2,30,2,6,2,30,2,28,1,30,1,28,1,30,2,29,1,30,1,28,1,6,1,28,2,29,1,30,4,28,1,30,1,28,1,30,1,28,3,30,3,28,1,6,1,29,1,6,2,28,1,30,1,28,1,30,3,28,1,30,8,29,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,6,1,30,2,6,2,29,1,30,3,6,1,30,1,6,1,30,1,28,1,30,1,7,1,29,1,6,1,28,1,6,2,30,10,6,2,30,2,28,1,6,1,28,1,6,1,28,3,6,1,30,1,13,2,6,3,30,1,6,2,30,1,6,1,30,2,6,8,13,1,6,2,30,5,6,1,30,1,6,2,13,2,6,3,13,2,6,1,13,1,6,1,13,1,30,1,6,1,29,1,30,3,6,2,30,1,28,1,13,1,8,1,13,3,9,1,6,1,30,2,28,1,30,1,6,1,28,1,24,1,8,1,6,2,7,1,8,1,24,2,8,1,13,1,8,1,13,1,9,1,8,1,10,1,24,1,13,1,8,2,10,1,9,1,13,2,8,1,9,3,10,2,9,1,12,1,9,1,8,2,13,1,24,1,10,1,12,1,9,1,24,1,8,2,30,1,28,2,30,1,28,2,6,1,28,12,30,1,29,1,6,1,29,1,8,1,13,1,24,1,8,2,24,2,9,1,28,28,6,1,29,1,28,24,11,1,9,3,13,1,8,1,9,1,24,1,9,1,13,1,24,1,9,1,13,1,9,2,24,1,9,1,8,1,24,2,9,5,8,1,9,2,10,1,17,2,12,1,17,3,10,1,24,1,9,2,8,2,24,1,13,1,6,1,7,1,6,2,30,2,28,1,30,1,29,1,28,5,29,1,28,3,30,2,28,1,29,2,6,1,30,1,29,1,25,1,6,1,25,1,29,1,26,1,6,1,25,1,29,1,27,1,6,1,25,1,8,1,25,1,6,1,29,1,6,3,25,1,6,1,27,1,26,1,29,1,30,1,6,1,27,1,29,1,25,1,30,1,26,1,29,1,30,6,29,1,27,1,8,1,25,1,26,2,30,1,27,1,30,1,27,1,29,1,27,1,29,1,7,1,6,1,29,1,6,1,30,1,29,1,6,1,28,1,29,1,6,1,30,1,6,1,30,1,6,1,30,2,29,2,30,1,8,1,25,1,6,1,7,1,24,1,30,1,7,1,8,1,13,1,24,1,12,1,24,4,12,1,24,1,12,1,8,1,24,2,10,1,24,5,17,1,7,3,8,1,30,1,6,1,26,1,27,1,26,1,29,1,8,2,25,1,26,1,25,1,8,1,25,1,8,1,24,1,8,1,25,1,26,1,10,1,24,2,10,1,24,1,12,1,10,1,24,1,10,1,12,1,17,2,12,1,17,1,10,1,24,1,12,1,24,1,17,1,12,1,17,3,10,1,17,1,6,1,28,5,30,1,29,1,6,1,29,1,25,1,30,1,25,1,30,2,25,2,29,1,26,1,29,1,27,4,28,1,27,1,28,1,29,1,30,1,29,1,30,2,13,1,6,1,7,3,6,1,28,1,6,1,30,1,29,1,28,5,13,1,24,1,8,2,10,3,12,2,24,1,9,2,13,1,10,1,24,4,8,1,10,1,8,1,9,1,13,1,7,2,8,1,7,1,8,3,12,1,13,1,24,2,8,1,13,1,12,1,24,2,9,1,8,1,12,1,10,1,12,1,17,1,12,3,17,1,9,1,12,2,17,2,12,1,17,1,10,1,24,3,13,1,8,1,13,1,7,2,8,1,25,1,29,1,7,1,13,1,7,1,6,1,13,2,8,4,7,2,6,1,8,2,13,2,24,1,13,1,8,1,24,1,10,1,12,1,9,1,10,1,9,1,10,1,17,1,12,1,17,2,11,1,17,12,9,1,28,28,30,2,28,9,30,1,6,2,30,1,28,19,13,2,8,1,9,2,13,1,8,1,12,2,17,7,9,1,13,1,10,1,13,1,8,1,9,1,8,1,13,4,7,1,13,3,7,1,6,1,13,1,6,1,13,2,29,1,13,2,6,1,13,1,7,2,30,1,13,3,7,1,13,3,9,1,13,1,9,2,13,3,6,1,30,1,6,1,28,165,7,1,28,7,6,2,30,1,28,1,30,1,28,6,29,1,9,1,17,1,12,1,10,1,11,1,13,1,8,1,13,1,28,1,30,1,29,1,6,2,29,1,7,2,13,1,30,1,28,1,6,1,29,2,7,1,24,1,12,1,10,1,8,1,9,1,8,1,30,1,28,7,7,1,9,1,8,1,6,1,30,1,28,35,6,1,12,1,8,1,30,1,28,1,30,1,8,1,9,1,8,1,13,2,29,1,30,1,28,2,30,1,6,1,8,1,24,1,8,1,24,1,8,1,7,1,28,5,30,1,7,1,9,1,6,1,28,3,29,1,28,1,6,3,24,3,13,2,8,1,30,1,29,2,24,1,12,1,8,1,30,1,28,3,29,1,6,2,28,30,29,1,30,1,28,5,30,1,28,12,6,1,}, {30,2,28,1,30,1,28,3,6,3,13,4,7,1,8,1,6,1,13,1,8,1,13,1,6,1,13,1,6,1,7,1,8,1,13,2,24,1,13,1,8,2,11,1,8,2,17,1,16,1,17,7,24,1,29,1,6,1,29,1,30,1,28,3,6,2,9,1,10,1,13,1,28,6,13,1,12,1,11,1,24,1,8,1,6,2,28,8,29,1,6,1,10,1,6,1,28,38,30,2,28,4,30,1,6,2,13,1,29,1,6,1,10,1,13,1,28,4,8,1,9,2,7,1,13,1,7,1,6,4,13,1,30,1,6,1,7,1,30,1,28,6,29,1,8,1,9,1,12,1,13,1,6,1,29,1,28,2,30,1,11,1,17,2,16,1,17,1,9,1,8,1,9,1,24,2,8,1,13,2,8,2,9,1,24,1,13,1,29,1,6,1,7,1,29,1,7,1,29,1,28,25,30,1,28,5,30,1,28,3,6,6,24,1,30,1,28,4,30,1,10,1,12,1,24,1,9,1,8,3,6,3,7,1,6,2,30,1,29,1,6,2,30,2,13,2,7,1,6,1,8,1,12,1,17,4,15,1,10,1,28,10,30,1,6,1,28,7,6,1,30,1,28,2,6,1,28,1,6,1,30,3,6,1,28,3,30,1,29,1,28,2,6,1,28,2,30,1,28,2,30,1,28,2,30,1,6,1,28,1,6,1,30,1,7,1,28,1,30,1,6,1,28,1,29,1,28,1,29,1,28,6,30,2,28,3,29,1,30,2,28,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,28,5,6,1,30,1,28,3,30,2,28,1,30,1,6,1,28,1,29,1,30,1,28,1,6,1,30,1,29,1,28,1,30,1,6,1,28,1,30,1,13,1,6,4,28,1,7,1,29,1,13,1,7,1,6,1,13,1,6,1,30,1,13,1,7,1,13,2,8,2,13,3,8,1,13,2,6,1,29,1,13,2,8,1,13,3,9,1,10,1,13,1,10,1,9,1,11,1,10,1,16,2,11,1,16,1,17,1,9,3,6,1,8,1,13,1,9,1,7,1,13,6,12,1,13,2,9,2,12,1,11,1,9,1,13,1,28,2,30,1,13,1,6,1,29,1,7,1,6,1,30,1,13,2,28,1,6,2,7,1,6,1,29,1,6,2,7,1,30,1,6,1,30,1,8,1,29,1,6,1,7,1,13,2,6,1,13,2,8,1,13,1,9,1,8,1,11,1,9,2,13,1,30,1,8,1,13,1,9,2,10,1,9,2,10,1,16,1,11,1,17,1,16,2,11,1,16,1,11,3,16,1,11,1,16,2,11,2,16,1,11,2,16,1,9,1,11,1,9,1,11,1,9,1,16,1,11,3,10,1,9,2,8,1,16,1,9,1,11,2,8,1,11,1,9,1,8,1,9,3,17,1,9,1,16,1,11,2,9,1,16,1,9,1,11,7,9,1,11,1,9,1,16,1,9,1,11,2,8,1,11,1,16,1,10,1,11,2,16,1,17,1,11,3,16,1,11,1,16,3,17,4,16,2,17,1,10,1,17,2,11,1,17,1,16,1,10,1,17,1,9,1,11,1,10,1,17,2,9,1,17,1,9,1,17,1,12,1,17,1,12,1,17,2,16,1,17,1,9,1,17,8,11,1,12,2,11,1,17,1,9,1,13,1,11,2,8,1,9,2,8,2,24,1,7,1,8,1,13,2,29,2,30,1,29,1,28,1,30,1,28,2,30,1,28,1,6,1,28,5,30,1,29,1,28,2,6,1,29,1,28,3,29,2,6,1,30,1,28,1,30,1,6,1,28,1,30,1,28,3,30,1,28,3,29,1,28,2,6,1,30,1,6,1,30,1,29,1,6,1,13,2,6,1,13,2,8,1,13,1,8,1,13,1,9,1,13,1,8,1,6,1,13,1,10,1,9,1,17,3,9,12,11,1,9,2,11,1,13,1,9,3,11,1,10,1,9,1,11,1,9,3,16,1,9,1,11,2,10,1,16,1,11,1,10,1,9,2,11,2,9,4,13,1,8,1,30,1,9,1,11,1,9,1,11,1,9,1,17,1,11,1,9,1,11,1,9,1,11,1,9,2,17,2,9,1,17,1,16,1,11,2,16,1,11,1,17,2,16,1,17,1,11,1,17,1,11,1,16,1,17,3,16,1,17,1,16,2,17,3,16,3,17,8,16,2,17,3,11,1,17,1,10,1,11,2,17,1,16,1,12,1,16,1,17,1,11,1,16,1,8,1,11,1,9,1,8,1,10,1,9,1,11,1,16,1,9,1,17,1,11,1,17,2,10,1,8,1,6,1,10,1,9,1,13,1,9,1,24,1,9,1,8,1,13,1,11,1,13,1,9,1,12,1,8,1,11,1,8,1,9,1,13,2,8,2,11,2,12,2,9,2,8,2,24,1,8,2,13,1,30,1,28,3,29,1,28,2,6,2,7,2,13,1,8,3,13,3,8,2,13,1,8,1,24,1,8,1,9,1,24,1,6,1,7,1,6,1,28,1,13,1,28,1,30,1,29,1,28,1,30,1,28,1,29,1,30,1,28,5,8,1,9,1,8,1,17,2,16,2,17,1,16,2,17,2,16,1,9,1,10,1,9,2,8,1,10,1,9,4,10,1,11,1,9,1,17,1,10,1,11,1,17,5,11,1,16,1,11,1,10,1,12,2,10,1,17,1,11,1,8,1,10,1,9,2,13,1,9,1,11,1,9,2,13,1,8,1,11,1,10,1,9,2,11,1,10,1,9,1,12,1,10,1,9,2,12,3,11,1,12,1,9,1,16,4,11,3,17,1,9,1,17,1,16,3,11,1,16,1,11,1,16,3,17,1,13,1,28,30,8,1,10,1,8,1,12,1,26,1,25,3,27,1,8,1,24,1,17,2,10,1,17,1,28,1,30,1,28,1,30,2,28,7,30,2,6,1,13,4,9,1,11,1,16,2,11,2,9,1,6,1,13,2,28,1,30,3,6,1,30,13,6,1,30,1,6,1,30,4,28,1,6,2,13,1,6,1,30,1,13,1,6,1,29,1,30,2,28,1,6,1,30,1,6,1,30,5,28,1,30,4,6,3,30,1,13,2,30,3,6,1,30,1,6,1,29,2,30,1,6,1,28,1,30,1,6,1,30,1,29,1,6,1,29,1,30,1,29,1,30,4,6,1,30,1,6,1,28,1,6,2,29,1,6,1,30,1,6,1,30,1,6,5,30,3,6,1,30,2,6,2,30,1,6,2,28,1,6,1,30,2,6,1,28,1,6,1,30,1,6,1,30,1,6,3,30,2,6,1,30,6,28,1,30,1,6,1,30,3,13,1,7,1,29,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,6,1,30,1,6,1,7,1,28,1,6,2,30,1,13,1,6,2,30,1,6,2,30,2,6,1,30,1,6,2,30,1,28,1,30,6,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,6,28,2,29,1,30,1,6,1,30,2,13,1,30,1,6,3,30,2,28,1,30,2,29,1,30,1,6,1,28,1,30,2,28,1,6,1,30,1,6,1,30,1,6,1,30,4,28,1,6,3,29,1,30,4,28,1,29,1,6,1,30,1,29,2,6,1,30,1,6,1,30,8,6,1,28,1,30,1,28,1,6,1,28,1,30,3,6,1,28,2,30,2,6,1,30,2,6,3,29,1,28,1,30,6,6,4,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,29,1,6,1,30,1,6,1,13,1,6,6,13,2,6,3,13,1,7,1,6,3,30,2,6,1,7,1,6,3,28,1,13,6,28,1,6,1,7,1,28,1,30,1,28,2,8,1,6,1,28,3,13,1,24,1,8,1,6,1,7,1,8,1,29,1,6,1,29,1,28,1,6,2,13,2,8,1,24,1,6,1,28,2,30,1,8,1,9,1,8,2,9,1,12,1,8,2,13,1,30,1,7,1,12,1,9,1,8,1,9,2,13,1,6,1,28,20,30,1,7,3,24,2,13,1,24,1,13,1,28,24,29,1,30,1,28,4,30,1,28,24,16,1,9,1,8,5,24,3,9,1,24,1,9,2,24,1,8,1,11,1,9,1,10,1,24,1,8,1,10,1,11,3,17,1,10,1,12,3,10,1,12,1,9,1,11,1,17,2,12,1,9,1,11,1,17,1,13,1,12,1,24,1,13,1,7,1,13,2,7,1,30,1,28,2,30,2,6,1,29,1,28,1,30,1,29,1,28,2,30,1,28,1,27,1,29,1,30,1,29,1,30,1,27,1,30,1,7,1,28,1,29,1,6,1,30,1,26,1,29,1,25,1,6,1,27,2,6,1,30,1,25,1,26,1,24,1,25,1,7,1,6,1,8,1,29,1,25,1,30,1,25,1,6,1,25,1,27,1,25,1,30,1,29,1,25,1,27,1,25,1,26,1,30,4,6,1,29,1,6,1,25,1,28,1,6,1,29,1,30,1,27,1,25,1,29,1,28,1,29,1,6,1,29,1,25,1,29,1,6,2,29,1,30,1,28,1,6,1,28,1,30,2,29,1,30,1,29,1,25,1,28,1,30,1,25,1,7,1,6,2,24,1,7,1,24,2,6,1,25,1,10,1,12,1,24,3,12,2,8,1,24,1,12,1,8,2,10,1,12,2,10,2,8,1,29,1,8,1,25,2,26,1,27,1,25,1,6,1,25,1,30,1,24,1,27,1,8,1,25,1,24,1,8,2,6,1,25,1,8,2,24,3,7,1,12,1,24,2,12,1,8,1,12,2,17,1,12,1,10,1,12,1,10,1,17,1,10,1,17,1,10,1,17,4,12,1,8,1,28,7,30,1,26,1,30,2,25,1,27,1,29,1,25,1,29,1,26,1,30,2,28,1,26,1,28,1,27,1,28,1,29,1,28,1,6,1,30,1,29,3,30,1,8,1,6,1,28,1,6,5,30,1,28,5,30,1,8,1,24,2,9,1,24,1,12,1,9,1,8,1,10,2,24,2,10,1,24,3,9,1,10,1,24,1,8,1,24,2,7,1,10,1,13,1,8,2,12,1,7,1,8,1,13,2,24,1,9,1,13,1,8,2,9,1,10,1,12,1,17,1,12,1,9,1,17,3,12,1,9,1,12,1,17,1,12,1,17,2,12,1,17,1,10,1,12,2,10,1,24,1,8,1,6,1,13,1,8,1,6,1,13,1,7,1,6,1,13,1,7,1,6,1,7,1,6,1,7,3,13,1,6,1,7,1,8,3,13,1,24,1,13,1,8,2,24,1,12,1,9,2,24,1,12,1,9,1,12,1,17,1,10,1,17,14,9,1,28,26,30,1,6,1,30,1,28,9,7,1,13,1,7,1,30,1,28,20,9,1,8,2,9,1,8,1,13,1,11,2,12,1,17,8,13,1,9,1,10,1,13,2,9,2,13,1,8,1,13,1,30,1,13,2,8,1,13,2,6,2,13,1,6,1,29,1,13,1,28,1,6,2,28,1,7,1,13,2,8,1,30,1,13,4,30,1,9,1,13,2,8,1,13,3,6,1,29,1,28,165,6,1,28,8,13,1,30,1,28,8,29,1,8,1,17,3,11,1,8,1,7,1,13,1,6,1,8,1,30,1,13,1,28,1,6,1,29,1,30,2,6,2,30,1,6,1,28,1,6,1,8,1,9,2,8,1,9,2,30,1,28,7,13,1,24,1,10,1,6,1,30,1,28,35,8,1,9,1,8,1,28,1,30,1,28,1,6,1,24,1,8,1,7,2,30,2,28,2,30,1,29,1,8,1,6,1,29,1,8,2,29,1,28,5,30,1,9,1,13,1,30,1,28,4,13,1,6,1,8,1,6,1,8,1,24,1,9,1,8,2,29,1,13,1,30,1,28,1,24,1,10,1,9,1,6,1,28,4,13,2,28,49,30,2,}, {7,1,30,1,6,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,13,1,30,1,6,1,8,2,13,2,8,1,29,1,13,2,6,1,7,1,13,1,8,1,13,1,8,1,9,3,13,1,9,2,11,1,10,1,17,6,14,2,9,1,13,1,6,1,28,5,6,1,29,1,13,1,8,2,30,1,28,5,8,1,11,1,24,2,13,2,28,9,29,1,13,1,17,1,8,1,6,1,28,43,29,2,13,1,6,2,8,1,9,1,12,1,28,1,30,1,28,1,6,1,13,1,15,1,24,2,8,1,6,1,7,1,13,1,7,1,6,1,7,1,13,2,6,1,28,7,8,1,9,1,17,1,8,1,6,1,28,1,29,1,28,2,6,1,10,1,17,2,9,2,24,2,8,1,9,1,8,1,13,3,8,2,13,1,11,1,13,1,6,2,29,1,30,1,6,1,28,34,30,1,28,1,6,1,28,1,30,1,28,1,30,1,13,1,6,1,29,1,28,5,24,2,9,1,10,1,13,1,24,1,8,1,13,1,8,2,6,1,7,1,13,1,30,1,29,1,30,1,28,2,30,3,13,2,8,1,24,1,12,3,17,1,14,1,10,1,6,1,28,9,6,2,28,5,6,2,29,1,7,1,6,1,28,2,29,1,30,5,28,1,30,1,28,2,6,1,28,1,30,1,28,3,6,1,28,2,30,1,6,2,30,4,6,2,29,1,30,2,28,3,29,1,30,1,28,1,29,2,28,4,30,1,28,1,30,1,6,1,30,4,29,1,6,1,28,1,6,1,28,3,30,1,28,1,29,1,6,1,28,1,30,1,7,1,28,5,30,1,28,1,29,2,30,2,28,2,29,1,30,2,6,1,29,1,6,2,28,1,6,1,29,1,6,1,13,1,6,1,30,1,6,3,13,4,9,1,13,2,6,1,7,1,9,1,8,1,9,1,13,1,9,3,13,1,16,1,9,1,16,1,9,1,17,1,16,1,9,1,11,1,16,2,9,1,11,1,9,2,17,1,9,1,10,1,12,1,11,1,12,1,16,1,6,1,13,4,6,1,13,1,8,1,9,1,7,1,8,1,13,1,9,1,13,1,8,1,13,1,16,1,9,1,10,1,13,1,30,2,28,1,30,1,6,1,30,2,7,1,6,1,28,1,6,1,30,1,6,1,7,3,6,1,29,1,28,1,8,1,29,1,6,1,29,1,13,2,8,1,13,3,8,1,13,1,8,1,13,2,9,4,8,1,9,1,13,2,8,1,13,1,9,3,8,2,11,1,16,5,9,1,16,3,9,2,11,1,16,1,10,1,11,1,9,1,16,1,8,1,11,3,9,1,11,4,17,1,16,1,11,1,9,1,11,1,8,1,9,2,13,1,9,4,10,1,11,1,10,1,9,1,11,1,10,1,11,1,9,3,10,1,9,1,8,1,9,2,11,2,9,1,16,1,11,1,9,1,11,1,10,1,11,1,9,1,16,3,11,3,16,2,11,1,16,1,17,1,10,2,16,1,11,3,17,1,11,1,17,2,16,1,17,2,11,1,17,1,9,1,12,1,9,1,17,1,12,1,9,1,17,2,9,1,17,1,9,1,17,1,11,1,10,1,11,1,9,2,11,2,16,1,17,1,11,1,9,1,17,5,16,1,17,1,10,2,17,1,11,1,17,1,11,1,9,1,10,1,11,2,9,1,24,1,8,2,13,2,6,1,7,1,8,1,7,1,6,3,29,1,6,1,29,2,30,1,28,2,30,2,28,6,30,1,28,2,6,1,30,3,28,1,30,2,28,2,30,3,28,4,30,1,28,5,30,1,6,1,30,1,28,1,6,3,7,1,13,1,7,1,30,1,8,1,7,1,13,2,8,1,13,1,8,2,13,1,8,3,11,1,17,2,16,1,11,1,10,1,9,2,11,2,9,2,16,1,9,2,11,1,9,4,8,1,9,1,10,1,9,3,16,1,11,1,9,1,11,1,10,1,16,1,9,3,11,1,9,1,11,3,16,1,11,1,9,2,13,2,9,1,13,3,8,1,9,1,11,1,17,1,9,1,16,1,10,1,16,1,11,1,16,1,9,1,16,2,17,1,16,1,11,3,17,2,16,1,17,1,11,1,16,2,12,1,17,2,11,1,17,10,16,2,17,1,16,1,17,9,16,1,12,1,17,6,11,1,9,1,17,1,9,1,8,1,17,1,10,1,9,3,10,1,9,4,11,2,10,1,9,1,17,1,8,1,29,1,8,1,9,1,10,1,13,1,24,1,13,1,8,2,13,1,8,1,6,1,8,2,13,2,8,1,6,2,8,2,9,1,13,1,12,1,11,1,9,2,24,1,8,1,9,2,8,3,6,1,28,4,30,1,28,2,6,1,7,1,29,1,6,1,8,2,13,2,6,1,13,2,8,1,13,2,7,1,13,2,24,1,13,1,6,2,29,2,28,1,30,2,29,1,30,1,29,1,28,6,30,1,28,1,8,1,13,1,9,1,16,1,17,2,11,1,16,2,11,1,16,2,9,5,8,1,13,1,9,2,8,1,9,2,8,2,11,1,9,2,17,3,11,1,16,1,9,3,11,1,16,1,9,1,12,1,9,2,10,1,9,2,11,2,9,1,10,1,8,1,9,2,8,1,11,1,8,1,11,1,9,1,10,1,11,1,9,2,11,1,10,1,11,1,9,1,11,1,16,1,11,1,16,2,11,2,9,2,17,1,11,2,16,1,11,1,16,3,17,1,16,5,8,1,28,31,13,1,12,1,24,2,26,1,25,1,27,1,25,1,8,2,24,1,12,1,17,1,11,1,17,1,11,1,28,2,13,1,30,1,28,8,6,1,13,1,6,1,13,2,9,2,11,1,16,1,11,1,16,1,9,2,13,2,6,1,28,1,30,1,6,2,30,1,6,1,29,1,30,3,6,1,30,1,6,1,30,3,6,2,30,2,6,2,29,1,30,1,7,1,30,3,6,1,29,1,30,1,7,1,13,1,30,1,28,1,6,1,30,3,6,1,30,4,28,1,30,3,29,1,6,2,30,1,29,1,30,2,28,1,30,1,6,1,28,1,30,6,28,1,30,3,6,1,30,1,28,1,6,1,30,1,6,1,28,1,6,2,30,3,6,1,30,3,7,1,28,1,6,1,30,1,6,2,30,1,29,1,28,2,30,5,6,1,30,1,6,1,30,3,28,1,30,1,6,2,30,1,28,1,6,6,30,1,6,1,30,1,6,1,30,4,28,1,30,1,6,4,30,1,28,1,7,1,6,1,29,1,30,1,28,3,29,1,30,2,6,1,30,2,13,1,30,2,6,1,30,1,6,1,30,3,6,1,29,1,6,1,30,1,28,1,30,1,29,1,30,2,29,1,6,1,30,2,6,1,30,1,6,1,30,5,29,1,30,1,29,1,6,2,30,1,6,1,30,5,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,30,10,28,1,30,2,29,1,30,11,28,1,30,3,29,1,28,1,30,2,28,1,30,2,6,3,30,1,28,1,30,4,13,1,6,1,30,4,6,1,30,2,29,1,30,2,28,1,6,1,28,1,29,1,30,1,28,1,30,3,6,2,30,5,6,1,30,1,6,1,28,1,6,1,30,1,13,1,28,1,6,1,30,2,6,2,7,1,6,5,30,2,6,4,13,1,6,1,13,1,30,1,13,1,6,1,7,1,13,1,6,1,13,1,6,3,29,1,30,1,6,3,30,1,6,1,28,1,13,1,8,1,13,1,7,1,28,1,13,1,29,1,7,1,30,1,28,1,29,1,28,2,6,2,28,2,30,1,7,1,24,1,7,1,30,1,29,1,30,1,29,2,30,2,6,1,29,1,28,1,13,1,30,1,28,5,30,1,7,1,29,1,8,2,13,1,8,1,7,1,13,3,9,1,12,2,24,2,13,1,28,21,29,1,6,1,7,2,24,1,8,1,24,1,8,1,28,26,13,1,30,1,28,2,30,1,28,25,17,1,24,1,8,1,24,2,10,1,24,1,8,1,9,3,24,1,9,4,8,1,11,1,9,2,10,1,9,3,10,1,12,2,11,2,12,1,11,1,10,2,17,1,11,1,17,3,11,1,12,1,9,1,12,1,10,2,8,1,13,1,8,1,13,2,6,1,30,1,29,1,28,1,30,1,28,2,6,1,28,5,29,1,30,1,29,1,30,2,6,1,30,1,6,2,25,1,6,1,7,1,25,1,6,2,29,1,25,1,29,1,6,1,28,1,25,2,8,1,6,1,25,1,29,1,30,1,6,1,25,1,26,2,27,1,26,1,30,1,28,1,29,1,27,3,30,1,28,1,30,1,29,3,30,1,28,1,6,3,26,1,25,2,28,1,25,1,28,1,25,1,28,1,30,1,6,2,29,3,6,1,7,1,25,1,30,1,29,1,28,1,27,1,29,2,27,1,6,1,7,1,6,2,8,2,6,2,8,1,29,1,25,1,6,1,24,1,8,1,25,1,24,1,8,2,24,1,10,1,12,1,8,1,17,1,8,1,12,2,17,1,12,1,24,1,12,1,10,1,24,1,25,1,29,1,27,1,26,1,25,1,26,1,6,1,8,1,25,3,8,1,25,2,10,1,25,2,8,1,24,4,8,1,24,1,12,2,13,1,24,1,12,2,17,1,12,2,10,1,17,1,12,2,9,1,12,2,17,1,12,4,8,1,28,8,6,1,30,1,25,1,29,1,27,1,6,1,26,2,27,1,30,1,28,1,29,1,28,1,27,1,30,2,29,2,28,1,6,1,30,1,6,1,30,2,6,2,13,1,7,1,30,1,6,1,29,1,8,1,6,1,28,6,24,1,12,2,24,1,10,1,12,1,8,1,24,1,13,1,10,1,24,1,10,1,24,1,10,1,13,1,24,1,8,1,9,1,24,1,8,3,24,1,13,1,7,1,8,1,24,2,8,2,13,1,8,1,24,1,8,1,13,1,24,1,13,1,8,1,24,1,10,1,12,2,17,1,12,1,17,1,10,1,17,3,12,1,17,3,12,2,17,2,12,1,24,1,12,1,24,2,13,1,7,1,13,1,7,1,6,1,13,1,7,1,30,1,6,1,7,1,6,1,7,2,13,2,8,1,29,2,13,1,7,1,8,1,24,1,13,1,24,1,12,1,24,1,12,1,8,1,24,1,8,1,17,1,12,2,11,1,10,1,11,2,12,1,11,1,17,1,12,1,17,8,8,1,28,25,13,1,30,2,28,10,30,1,7,1,6,1,30,1,28,18,30,1,13,1,8,1,13,3,9,1,8,1,24,1,12,2,17,7,12,1,8,1,9,1,8,1,9,1,13,5,8,1,9,1,11,1,13,1,6,1,13,5,6,1,13,1,30,1,6,1,30,1,6,1,13,1,6,2,13,3,8,1,6,1,13,7,6,1,13,1,6,1,29,1,28,174,7,1,6,1,28,1,6,1,29,1,28,7,9,1,17,2,16,1,11,1,24,1,13,1,30,1,28,1,13,1,6,1,13,1,28,1,6,1,30,1,28,1,24,1,7,1,13,1,30,2,28,1,6,1,7,1,9,1,11,1,9,1,10,1,8,1,29,1,28,6,30,1,6,1,8,1,9,1,7,1,29,2,28,33,30,1,6,1,10,1,13,1,29,1,30,1,28,1,7,1,9,2,8,1,13,1,29,1,28,2,30,2,13,1,29,1,6,1,8,1,13,1,24,1,6,1,28,5,29,1,10,1,13,1,29,1,28,2,30,2,29,1,13,1,8,1,13,1,24,1,9,2,17,1,9,1,6,1,7,1,29,1,28,1,8,1,9,2,30,1,28,3,30,1,7,2,28,49,30,2,}, {13,1,6,2,30,1,28,1,6,1,28,3,30,1,28,1,29,1,13,1,6,1,8,1,6,1,7,1,13,1,6,3,8,1,13,1,8,2,9,1,8,1,9,1,8,1,9,2,13,1,9,1,11,1,8,1,17,6,14,2,16,1,8,1,6,1,29,2,28,3,29,1,8,1,13,1,14,1,9,1,28,5,29,1,24,1,8,1,24,1,9,1,8,1,13,1,29,1,30,1,28,7,30,1,13,1,6,1,30,1,28,43,6,4,29,1,13,2,24,2,28,3,6,1,7,1,10,1,15,1,8,1,13,2,6,1,13,2,6,1,29,1,6,2,29,2,28,6,13,2,9,2,28,1,13,1,29,1,7,1,6,1,7,1,24,1,12,2,24,1,9,2,24,1,8,1,9,2,10,1,24,1,8,2,24,1,13,1,24,2,6,1,29,1,13,1,6,1,29,2,28,34,30,1,6,1,28,1,30,2,6,1,10,1,8,1,13,1,28,5,12,1,24,1,10,1,9,1,24,1,13,3,29,1,6,4,29,2,28,1,6,1,28,1,6,1,30,2,13,1,7,1,24,1,12,1,10,1,12,1,17,2,15,1,11,1,6,1,28,10,30,1,28,3,30,1,28,1,6,1,30,2,28,1,29,1,30,1,6,1,28,2,30,1,6,1,28,1,30,3,28,1,29,1,30,1,28,1,30,1,28,1,7,1,28,5,29,1,6,1,29,1,30,1,13,1,6,1,28,1,30,2,28,1,6,1,28,1,29,1,30,1,28,1,29,1,30,2,28,1,29,1,28,3,30,1,28,2,30,2,28,2,30,2,6,1,28,1,30,1,28,1,6,1,28,1,13,1,28,2,6,1,28,3,30,2,28,2,29,1,28,1,6,1,28,3,6,2,13,1,6,3,7,1,6,1,13,1,28,1,6,1,13,1,6,2,30,1,7,1,6,1,13,2,6,1,9,1,13,3,8,1,13,1,10,1,9,1,13,1,9,2,16,2,17,1,16,1,9,1,16,1,17,1,16,1,11,3,16,1,17,1,16,2,11,2,16,1,9,1,11,1,16,1,10,1,17,1,11,1,17,1,11,1,13,1,9,1,7,1,13,1,6,1,13,2,8,1,13,1,8,1,6,1,9,1,10,1,8,2,9,3,12,2,8,1,6,1,28,1,30,1,6,1,13,1,7,1,6,1,7,1,6,1,29,1,8,1,6,1,13,2,29,1,7,1,29,1,8,1,6,2,13,2,30,1,8,1,7,1,13,1,6,2,9,1,13,2,9,1,24,1,8,1,7,1,13,1,11,1,9,1,8,1,13,1,10,1,9,1,13,1,9,2,8,1,9,1,13,1,9,1,17,1,9,1,16,1,11,1,17,1,11,3,16,1,9,1,11,2,16,1,9,1,11,1,16,1,11,4,9,2,11,1,8,1,16,1,11,1,16,1,11,1,16,1,9,1,16,1,9,5,10,1,9,7,11,1,10,1,16,1,9,1,11,1,10,2,11,1,9,2,11,1,9,1,11,1,9,1,11,3,10,1,16,1,9,2,11,1,9,3,16,1,11,1,16,1,17,1,11,1,16,1,17,1,11,1,16,3,11,2,17,3,16,1,11,1,16,1,12,1,17,3,11,1,17,1,12,1,9,2,11,1,9,2,12,1,9,1,24,1,17,1,11,1,9,2,17,2,12,1,9,1,11,2,10,1,17,8,16,1,10,1,11,2,10,1,17,1,9,1,11,1,9,1,10,1,11,1,24,1,8,1,24,1,9,1,13,2,7,1,6,1,13,1,6,1,30,2,28,13,29,1,28,2,6,1,29,1,7,1,28,1,29,2,28,2,6,1,30,2,28,5,30,1,28,5,30,1,29,1,28,1,30,1,29,1,28,1,13,1,7,1,6,1,13,1,6,1,13,1,7,1,8,1,6,1,13,1,8,1,13,1,8,1,13,2,6,1,30,1,8,1,9,1,11,1,16,1,17,1,9,2,10,1,9,1,11,1,8,1,9,1,8,1,13,1,9,3,13,1,9,2,13,1,9,3,11,1,9,1,11,1,9,2,17,1,8,1,9,1,11,1,9,1,16,1,10,1,11,2,16,1,11,1,16,1,11,2,9,3,13,1,8,1,13,2,9,1,11,2,10,3,11,3,9,2,11,3,10,1,9,1,16,1,17,1,16,1,17,1,11,1,9,1,17,4,9,1,16,1,11,2,16,1,11,1,16,1,17,3,9,1,17,1,16,1,17,5,16,2,17,3,16,1,17,1,12,1,17,2,16,1,17,4,11,1,9,1,11,2,9,1,11,1,17,1,11,1,13,1,9,3,11,2,9,1,11,1,8,1,11,1,16,3,8,2,13,1,8,1,9,2,8,1,10,1,8,1,24,1,7,1,8,1,13,1,6,2,13,1,8,1,13,1,10,1,8,1,7,2,13,1,6,1,8,1,12,2,24,1,12,1,8,1,9,1,8,1,10,1,24,1,9,1,13,2,6,1,28,6,30,2,13,1,9,1,7,1,8,1,7,2,6,1,13,2,7,1,8,1,7,1,13,2,8,1,6,1,13,2,7,1,28,2,29,1,28,1,6,1,28,1,30,1,28,4,30,1,28,5,30,1,10,1,17,3,16,4,9,1,11,1,9,1,10,1,11,1,8,1,11,1,9,2,8,2,9,1,13,1,9,1,10,2,9,2,11,1,17,3,16,2,17,1,9,1,16,1,9,1,10,1,11,2,10,1,11,1,10,2,8,1,10,1,11,2,9,2,11,2,9,1,11,4,9,3,17,1,10,1,8,1,11,1,9,1,11,1,9,1,11,2,9,3,11,2,16,1,11,1,16,2,17,4,16,4,9,1,16,1,30,1,28,31,7,1,24,3,26,2,25,1,26,1,8,1,15,1,14,1,12,1,17,3,16,1,6,1,28,1,6,1,13,1,30,1,28,6,30,1,6,2,13,1,30,1,13,1,6,1,9,2,16,1,11,1,9,2,11,1,13,1,6,1,30,1,28,1,30,1,29,1,6,1,30,3,6,1,30,3,28,1,6,3,30,3,6,1,30,4,6,1,30,1,6,1,28,1,30,3,6,2,13,1,29,1,28,1,6,2,29,1,30,2,28,1,30,2,6,1,30,1,6,3,30,1,6,1,30,1,6,5,30,1,6,1,30,1,6,2,30,2,6,1,28,1,30,3,6,2,28,1,29,1,30,5,6,1,30,3,6,1,29,1,30,1,6,2,30,3,6,1,30,1,28,1,6,1,30,4,29,1,30,7,28,1,7,1,30,4,6,1,30,1,6,4,7,1,6,1,13,1,30,1,6,1,28,2,30,1,6,1,30,2,28,1,30,2,29,1,6,1,30,1,13,2,29,1,30,1,6,1,30,4,6,1,30,3,6,4,7,1,6,4,30,2,6,1,28,1,6,1,30,1,6,1,30,4,6,1,30,1,6,1,30,4,28,1,30,3,29,1,6,1,30,3,28,2,30,1,28,1,30,5,6,1,28,1,13,1,30,1,6,1,30,6,28,1,29,1,30,3,29,1,6,1,28,1,30,1,28,1,6,1,30,4,29,2,30,1,6,1,28,1,30,2,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,2,6,1,30,4,28,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,3,30,1,28,1,6,2,30,2,6,1,30,1,29,1,30,3,29,1,28,1,29,1,30,3,6,1,28,1,6,1,29,3,6,1,30,1,29,1,6,4,30,1,6,1,30,2,6,4,7,1,13,1,6,3,13,1,30,1,6,7,13,1,6,1,30,1,7,1,6,1,13,2,7,3,13,1,6,2,28,1,30,1,13,1,30,1,7,1,28,2,30,1,28,2,24,1,6,1,28,2,30,1,6,1,7,1,30,1,29,1,28,2,29,1,28,7,30,1,28,5,30,1,13,2,6,1,9,1,10,1,13,2,8,1,6,1,11,1,17,1,24,1,12,1,10,1,13,1,6,1,28,21,29,1,7,2,8,5,28,26,24,1,13,1,28,2,30,1,28,25,17,1,8,1,10,1,24,3,9,1,24,1,9,1,24,1,8,1,24,1,9,3,10,1,9,4,10,1,11,1,9,1,12,1,11,1,17,1,11,1,9,1,11,1,17,1,12,3,9,2,11,1,10,1,9,1,17,1,11,1,17,2,10,1,12,1,17,1,12,1,7,2,8,1,7,1,29,1,30,1,6,1,28,2,29,1,28,1,6,1,28,3,29,1,28,1,29,1,28,2,29,1,30,1,25,1,27,1,7,1,30,1,7,1,6,1,25,1,29,1,27,2,29,2,6,1,25,1,30,2,7,2,25,1,7,1,6,1,8,1,27,1,8,1,29,3,25,1,26,1,25,1,26,1,25,1,26,1,28,1,29,1,6,1,26,1,6,1,29,1,6,2,25,1,29,1,25,1,29,1,28,1,29,2,7,2,27,1,30,1,6,1,25,1,30,1,6,1,30,1,6,1,30,2,29,1,7,1,28,1,29,1,28,1,6,1,30,1,25,1,30,1,29,1,30,2,6,1,7,1,8,1,25,1,6,2,25,1,8,1,25,1,8,1,24,1,8,1,24,1,8,1,24,2,10,2,8,1,9,1,12,1,9,1,24,1,12,1,8,1,10,2,8,1,24,1,25,3,6,1,29,1,26,1,25,1,27,1,8,1,26,1,25,1,8,1,6,1,24,1,25,2,24,1,12,1,8,1,10,1,7,1,12,1,24,3,12,1,24,1,12,1,17,1,12,5,10,1,12,3,10,1,17,1,12,2,17,2,24,1,28,4,30,1,28,3,30,2,27,1,26,1,29,2,25,1,30,1,26,1,29,1,25,1,6,1,28,1,27,1,29,1,30,2,28,1,30,1,29,1,28,1,6,2,8,1,29,2,6,1,30,1,7,2,29,2,6,1,28,6,8,1,9,3,24,1,10,1,12,1,24,1,12,1,17,1,24,1,9,1,10,1,12,1,24,1,8,1,12,1,24,1,10,1,24,1,13,2,8,2,24,1,8,5,24,1,8,2,10,1,13,1,9,1,24,2,12,3,10,1,12,3,17,1,10,1,12,1,17,3,12,2,17,1,12,2,17,1,24,2,7,1,24,2,13,1,24,1,8,2,13,1,8,1,13,1,29,1,6,3,13,1,7,2,6,1,7,1,13,1,8,1,6,1,24,1,9,1,10,1,12,1,9,1,12,1,10,1,8,1,24,1,12,1,10,1,12,1,17,2,12,1,17,2,10,1,12,1,17,2,12,1,17,9,28,24,13,2,28,11,30,1,7,1,30,1,28,20,7,1,13,2,8,2,13,2,24,1,9,1,17,9,11,1,9,2,13,1,9,2,13,2,8,1,13,1,8,1,13,4,8,1,13,1,6,1,30,1,13,4,9,1,30,1,13,2,6,1,13,1,6,1,13,1,7,1,13,2,6,1,13,3,9,1,13,1,6,1,8,1,13,2,30,1,28,174,6,2,13,1,29,1,28,8,12,1,17,2,16,1,11,1,8,1,7,1,6,3,8,1,29,1,6,2,30,1,29,1,30,1,6,1,29,1,6,1,30,1,13,1,7,1,8,1,12,1,15,1,11,1,15,1,8,1,6,1,28,7,8,1,24,1,8,2,28,36,8,1,10,1,9,1,28,3,13,1,8,1,9,1,8,1,13,1,28,1,30,1,28,1,6,1,28,1,7,1,6,1,29,1,6,2,8,1,6,1,28,5,6,1,15,1,13,1,30,1,28,4,30,1,6,1,29,1,10,1,9,1,15,1,24,1,14,1,10,1,13,1,30,1,6,2,24,1,8,2,6,1,28,3,29,1,8,1,6,1,28,50,13,1,}, {28,1,13,2,6,1,30,1,6,3,28,1,29,1,28,1,30,1,29,1,30,1,13,4,7,1,13,2,8,1,9,1,8,1,17,1,8,1,13,1,10,1,9,1,13,1,8,3,9,1,10,1,11,1,17,6,16,1,9,2,13,1,6,1,28,5,13,1,7,1,12,1,24,1,6,1,28,5,8,2,9,1,24,2,6,1,30,3,28,7,6,1,7,1,6,1,28,44,13,1,6,1,13,1,7,1,6,2,8,2,29,1,28,1,29,1,28,1,8,1,15,1,14,1,8,1,6,1,13,1,7,1,6,1,13,3,29,2,6,1,30,1,28,5,30,1,6,1,13,1,24,1,9,1,8,1,28,1,6,3,30,1,13,1,10,1,12,1,9,1,8,2,13,1,8,1,7,1,9,1,24,1,13,1,24,1,8,1,13,1,6,1,14,1,9,1,28,1,6,1,30,1,28,2,29,1,28,30,30,1,28,4,6,1,28,2,7,1,30,1,12,2,29,1,28,4,6,1,10,1,8,1,24,1,13,1,8,1,7,1,13,2,7,1,30,1,29,1,6,1,28,1,29,2,30,3,28,1,30,1,29,2,8,1,9,1,24,1,13,1,8,1,17,2,14,2,6,1,28,9,30,1,6,1,30,1,28,2,30,1,28,1,30,4,6,3,29,1,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,1,13,1,28,1,30,1,28,1,29,1,28,2,7,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,29,3,30,1,28,2,30,2,28,1,30,2,29,1,28,1,30,3,28,1,29,1,28,1,29,1,28,1,30,1,28,1,6,1,30,1,29,1,28,2,30,2,28,2,6,1,28,1,30,1,6,2,30,3,6,2,29,1,30,1,13,1,30,1,6,1,29,1,13,5,29,1,13,1,29,1,13,1,6,1,29,1,13,2,6,1,8,1,9,1,16,1,11,2,16,3,17,2,16,1,17,1,11,1,16,1,11,1,17,1,16,5,11,1,16,2,11,1,9,1,11,2,9,1,10,1,9,2,11,1,9,2,11,2,8,1,6,1,13,1,8,1,6,1,13,1,8,1,13,1,9,1,8,1,6,1,13,3,9,1,8,1,11,2,13,1,8,1,6,4,28,1,6,1,30,1,6,4,29,1,13,2,6,2,30,1,29,1,6,1,13,1,7,1,29,1,13,2,8,1,13,1,7,2,8,1,13,1,7,1,9,1,8,1,13,1,8,2,9,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,9,2,13,1,9,1,16,2,11,3,16,1,11,1,9,1,16,1,11,3,16,1,9,1,10,1,11,2,10,1,11,3,9,1,11,1,9,1,11,1,9,3,17,1,9,2,10,1,11,3,9,1,11,1,9,4,10,1,8,2,9,4,11,1,9,2,11,1,9,2,10,1,11,4,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,2,16,1,17,1,9,1,11,2,16,1,11,2,16,2,10,1,11,1,17,2,16,1,12,1,11,1,17,1,11,1,12,1,17,1,9,1,17,1,9,1,10,1,11,1,9,1,10,1,24,2,8,1,11,1,9,2,24,1,9,1,24,1,12,1,11,2,12,1,9,1,10,1,11,1,17,6,11,2,16,4,9,1,8,1,9,2,11,1,9,2,12,1,8,3,13,1,7,1,8,1,6,1,13,1,29,1,30,1,28,4,6,1,30,1,29,1,28,1,29,1,28,5,30,3,6,1,30,1,29,2,6,3,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,4,30,1,28,1,30,1,29,1,6,3,8,2,6,1,8,1,29,1,13,2,8,1,13,2,6,2,13,1,8,1,13,2,8,1,11,1,17,2,16,1,9,1,10,1,9,1,10,1,11,1,9,1,11,1,9,3,8,1,10,1,9,1,8,1,13,1,11,2,10,1,9,1,8,1,9,4,11,1,9,1,16,1,9,2,11,1,16,1,11,2,16,1,9,3,11,1,13,2,9,1,13,1,9,1,13,1,9,2,10,1,12,1,9,1,16,1,11,4,16,1,9,1,17,1,11,1,16,2,17,1,11,2,17,1,11,2,17,1,16,1,17,2,9,1,16,1,17,1,16,2,11,1,17,1,11,1,16,2,17,1,16,2,17,1,16,1,17,5,16,1,17,4,11,1,17,2,12,1,17,3,10,1,16,1,11,1,8,1,10,1,16,1,11,1,9,1,11,1,8,1,16,1,11,1,13,1,11,1,9,2,13,1,9,1,17,1,11,1,9,2,13,1,9,1,13,1,7,1,8,1,9,1,13,1,24,2,13,3,8,1,13,2,6,1,13,1,8,2,13,2,8,1,24,1,13,1,9,1,11,1,17,1,11,2,24,2,8,1,24,1,8,1,9,1,13,1,8,1,13,2,28,5,6,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,7,1,13,3,8,2,7,2,6,3,13,2,6,1,28,1,29,1,30,1,29,1,30,4,29,1,28,4,30,1,29,1,9,1,17,5,9,1,11,1,9,1,8,1,9,1,13,1,9,2,8,1,9,1,8,2,9,2,10,1,8,1,9,1,13,1,16,1,9,1,16,3,17,1,16,1,10,1,11,1,9,1,16,1,9,2,10,1,9,1,16,1,9,1,16,1,9,2,16,1,11,1,16,2,9,1,11,2,16,1,11,2,9,2,11,1,9,2,11,1,17,1,11,1,9,6,16,2,9,3,11,1,16,1,11,2,16,1,17,1,11,1,17,3,11,1,16,2,9,1,28,32,8,1,9,1,12,1,25,2,26,1,25,2,27,1,15,1,17,4,16,1,17,1,13,1,28,2,6,1,13,1,28,6,30,1,6,1,13,6,9,5,13,2,30,1,28,2,29,1,30,1,6,2,30,2,6,3,28,1,30,8,6,1,29,1,30,1,6,1,28,2,30,1,28,1,6,2,30,1,6,4,30,1,6,2,30,1,6,1,28,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,2,30,4,6,1,30,3,29,1,30,3,6,2,30,7,28,1,6,1,30,1,6,1,30,1,6,4,30,1,6,1,30,2,6,1,30,5,29,2,30,4,29,1,28,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,29,1,30,3,28,1,30,1,13,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,13,1,30,1,29,1,7,1,30,3,29,1,30,4,6,1,30,1,28,1,30,1,13,2,30,1,28,1,6,1,30,1,28,1,30,1,6,1,30,2,29,1,6,2,28,1,7,1,6,1,30,1,6,2,30,1,29,1,6,3,30,5,6,1,30,1,6,1,7,1,30,3,6,1,30,1,29,1,30,2,6,1,30,1,29,1,30,1,28,1,30,2,28,1,30,3,29,1,30,4,29,1,30,1,6,1,28,1,30,1,6,1,28,1,30,2,28,1,30,2,28,1,30,3,6,1,30,2,28,1,6,1,30,1,28,1,30,4,6,1,30,4,29,2,28,1,30,1,6,1,30,1,28,1,30,2,6,1,30,6,28,1,30,1,6,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,28,1,30,1,29,1,30,1,6,1,28,1,30,2,29,1,28,1,29,1,30,3,29,1,6,1,30,3,6,1,30,1,29,1,30,2,6,1,13,1,7,1,6,1,28,1,6,2,30,1,6,1,29,1,30,1,6,1,30,1,6,4,30,1,6,2,7,1,6,1,13,1,6,3,7,1,6,1,13,1,6,1,13,2,6,1,30,1,6,3,7,1,6,2,13,1,9,1,30,2,28,1,29,1,13,2,6,1,30,1,28,3,8,1,17,1,6,1,28,2,29,1,6,3,30,1,6,1,28,1,30,1,28,14,6,2,7,1,9,1,13,1,8,1,11,1,10,1,12,2,24,2,9,1,24,1,13,1,29,1,6,1,28,20,29,1,30,1,13,1,7,1,24,2,8,1,28,27,7,1,9,1,24,1,28,1,30,1,28,25,17,1,8,1,13,1,24,1,9,2,24,1,8,4,13,1,8,1,24,1,9,3,24,1,9,6,11,3,17,1,10,1,11,1,17,1,12,3,11,1,10,1,11,1,9,2,17,3,12,2,17,1,9,1,12,1,13,1,8,1,13,2,29,1,30,1,7,1,28,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,6,2,29,1,28,2,6,1,29,1,6,3,29,1,27,1,8,1,27,1,6,1,29,1,26,1,29,1,25,1,7,1,8,1,7,1,6,3,27,1,26,1,27,2,25,1,29,1,27,3,29,1,27,1,29,1,27,1,28,1,25,1,29,1,28,2,30,1,29,2,30,1,29,1,6,1,29,1,30,1,6,2,29,1,7,1,29,3,6,1,28,2,29,1,30,1,29,1,6,3,29,1,28,1,29,1,7,1,29,1,6,2,29,1,30,3,29,2,7,1,6,1,25,1,7,1,8,2,25,1,12,1,24,3,12,1,13,1,10,1,12,1,24,1,8,1,12,1,9,1,17,1,12,2,8,2,24,1,7,1,8,2,6,1,25,2,8,1,25,1,8,3,25,1,8,1,25,1,24,2,8,1,24,1,12,1,8,1,24,1,25,1,24,2,8,1,24,1,12,2,24,2,10,1,17,3,10,1,17,2,9,1,17,1,10,1,12,3,17,1,9,1,10,1,28,7,29,3,28,1,6,1,25,1,30,1,27,1,29,1,25,1,30,1,28,1,29,1,28,2,6,1,28,1,30,2,29,1,30,1,29,1,30,1,28,1,30,1,6,1,7,1,29,1,6,3,7,1,29,1,6,1,29,1,28,4,29,1,24,1,8,2,9,1,24,1,12,1,24,1,10,1,12,1,13,1,10,1,24,1,10,2,8,1,12,2,8,1,24,1,8,1,9,1,17,1,8,2,13,2,8,1,24,2,8,1,7,1,9,1,8,1,6,1,8,1,13,1,24,1,10,1,8,1,12,2,17,1,10,1,9,1,10,1,12,1,9,1,10,1,12,3,17,1,12,1,10,1,17,2,12,2,8,1,12,1,10,2,8,1,24,2,7,1,8,1,6,1,13,1,7,1,6,2,13,1,6,1,29,1,13,1,8,1,6,1,24,1,10,1,24,2,8,2,13,1,7,1,8,1,10,1,24,1,8,1,17,1,12,1,9,1,17,1,9,1,12,1,9,1,12,1,9,1,12,1,11,1,17,11,28,23,30,1,13,1,6,1,30,1,28,9,30,1,28,1,30,1,28,20,30,1,13,1,9,1,8,1,13,2,8,1,13,1,24,1,9,1,17,1,11,1,12,1,17,7,9,1,17,1,13,1,8,1,13,1,9,2,8,1,13,1,7,1,13,1,9,1,13,1,9,1,13,1,6,1,13,2,6,1,13,2,6,1,13,2,30,1,13,1,8,1,13,7,9,1,13,3,6,1,13,2,8,1,6,1,30,1,28,145,30,1,28,3,30,1,28,19,30,1,28,4,30,2,28,5,30,1,28,4,16,1,17,4,9,1,6,1,29,1,6,2,29,1,30,1,6,1,30,1,28,1,30,2,6,1,29,3,6,1,13,1,24,2,10,1,9,2,8,1,6,1,28,6,30,1,7,1,24,1,9,1,7,1,28,36,8,1,17,1,8,1,6,1,29,1,30,1,8,1,10,1,13,2,29,1,28,1,30,1,28,2,29,2,6,1,30,1,8,1,9,1,24,1,6,1,28,5,6,1,12,1,24,1,6,1,28,5,29,1,6,1,7,1,8,1,10,1,9,1,12,1,8,1,6,1,7,1,30,1,13,1,8,1,12,1,8,1,30,1,28,2,30,1,6,1,8,1,13,1,28,36,6,1,28,13,6,1,}, {28,3,6,1,13,1,9,1,13,1,30,1,13,1,6,1,13,1,6,4,29,1,6,1,24,1,8,1,13,1,9,5,10,1,9,3,8,1,9,1,8,1,9,2,8,1,17,6,16,1,14,1,11,1,13,1,7,1,8,1,28,4,30,1,8,1,24,2,13,1,28,6,7,1,9,1,15,1,24,1,8,1,6,1,30,1,6,1,28,7,30,1,6,1,8,1,30,1,28,27,30,1,28,12,30,1,28,2,30,1,13,1,30,1,7,3,13,1,9,1,10,1,28,3,30,1,8,2,15,1,13,2,6,3,13,1,7,1,30,1,13,1,6,2,30,2,28,4,30,1,6,1,13,1,11,1,10,1,8,1,7,1,13,1,29,1,28,1,6,1,7,1,17,1,10,1,9,1,13,1,24,1,8,1,9,1,13,1,8,1,9,1,7,1,13,1,6,1,13,1,6,1,9,1,8,1,13,1,29,1,30,2,6,1,29,1,30,1,28,36,30,1,28,1,13,1,9,1,24,1,28,1,30,1,28,2,30,1,28,1,8,1,12,1,24,1,10,1,24,1,13,2,7,1,6,4,30,2,29,1,30,1,29,1,7,1,30,1,6,1,29,1,7,1,13,1,24,1,9,1,24,1,11,1,10,1,17,1,14,2,13,1,28,10,6,1,29,1,28,2,6,2,28,1,30,1,7,1,30,1,6,4,28,1,6,1,28,1,13,1,28,1,30,1,28,2,30,2,28,6,29,1,6,1,29,1,6,1,29,1,28,1,29,1,28,2,6,1,30,1,28,1,30,1,28,2,29,1,28,2,30,1,7,1,28,1,6,1,28,1,6,1,28,1,29,1,30,2,6,1,28,2,29,1,30,3,6,1,28,2,6,1,28,1,6,1,29,1,28,1,6,1,28,1,30,2,29,1,28,1,30,1,29,1,30,1,28,1,30,1,28,1,7,1,28,1,30,4,28,1,6,1,13,1,30,1,8,1,13,4,9,1,8,2,13,1,10,1,9,1,11,1,9,1,16,1,17,3,16,2,17,2,11,1,17,1,16,1,11,1,16,1,11,1,16,1,17,1,9,1,17,1,11,1,16,1,17,1,16,4,17,1,16,1,11,2,9,1,11,1,16,2,11,1,16,1,11,2,13,1,8,1,13,2,7,1,13,1,8,2,7,1,12,1,6,1,9,1,13,1,9,1,13,1,9,1,10,2,9,1,16,1,8,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,13,1,30,1,6,1,7,1,6,1,13,1,6,1,7,2,13,3,8,1,13,1,30,1,6,1,29,1,6,1,13,3,8,1,13,2,9,1,8,3,13,1,7,1,8,1,13,1,9,1,13,2,9,2,10,1,8,1,9,1,8,1,9,1,16,1,11,1,16,3,11,2,16,1,11,1,16,1,11,1,16,1,11,2,10,1,16,1,11,1,10,1,9,1,11,1,9,2,11,1,9,1,11,1,9,2,17,1,16,1,11,2,9,1,11,1,13,1,8,1,9,1,16,1,8,1,13,1,9,2,10,1,9,3,11,1,10,3,11,1,9,1,10,1,11,1,9,1,11,1,9,1,11,2,13,1,9,1,16,1,11,1,9,2,11,1,9,1,11,3,16,3,11,3,16,1,11,1,17,1,16,3,11,1,17,4,9,1,16,1,17,1,12,1,9,1,8,2,9,2,24,1,9,1,8,1,12,1,8,1,9,1,6,1,13,1,9,1,8,1,11,1,8,1,9,1,11,1,9,3,8,1,10,1,17,6,16,1,17,1,16,1,11,1,17,1,9,1,16,3,11,2,12,1,9,2,8,1,24,1,13,1,8,2,13,1,6,1,13,1,6,1,30,1,29,1,30,1,6,1,29,1,28,1,6,1,28,1,29,1,30,1,28,2,29,1,28,4,30,1,6,1,28,1,29,1,13,1,6,1,28,1,6,1,28,2,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,7,6,2,29,1,7,1,29,1,6,2,24,1,7,1,8,1,6,1,8,1,7,1,13,1,8,1,13,1,7,1,13,2,7,1,8,1,13,1,17,3,11,2,9,2,16,1,9,2,13,1,9,1,16,1,9,2,13,1,10,2,9,2,11,1,8,1,9,2,8,1,11,2,8,1,10,1,11,1,9,2,11,5,9,5,13,2,9,2,8,1,11,1,10,1,16,1,9,1,17,1,16,1,11,1,16,1,11,1,9,2,11,1,17,3,11,2,17,1,10,1,17,1,16,1,11,2,16,1,17,1,11,1,17,2,16,2,17,1,16,1,11,1,17,1,11,1,16,1,11,1,17,3,16,1,11,1,16,1,17,3,11,1,17,1,11,1,16,2,11,1,10,2,16,1,12,1,17,1,11,1,17,1,12,1,11,2,16,1,8,2,9,3,13,1,10,1,13,1,8,2,13,1,9,1,12,1,17,1,8,1,13,1,8,1,13,4,8,1,7,1,13,3,6,1,8,1,6,2,8,1,13,1,8,1,9,1,13,4,8,1,13,1,7,1,13,1,9,2,8,3,9,1,13,1,9,1,13,1,24,2,7,1,13,2,28,4,30,1,28,1,7,1,28,1,30,1,6,3,7,1,13,1,30,1,6,1,13,1,8,1,29,1,13,1,8,1,6,3,13,1,6,1,7,1,6,1,30,2,28,1,30,1,29,1,30,1,6,1,28,1,30,3,29,1,28,1,29,1,28,1,29,1,11,1,17,1,16,1,11,1,17,1,11,1,9,1,11,1,9,1,8,1,9,1,13,3,7,1,8,1,13,1,9,2,8,3,10,1,8,1,9,1,10,1,9,2,17,3,11,3,9,1,11,2,16,1,11,1,16,2,9,2,11,1,16,1,17,1,16,1,17,2,9,1,16,1,9,1,11,3,9,1,16,1,12,1,9,1,11,2,9,1,10,1,9,1,8,1,9,3,10,1,9,2,10,1,9,1,16,1,11,1,16,1,17,1,11,1,16,2,17,2,16,3,9,1,6,1,28,32,8,1,10,1,12,1,8,1,6,1,26,1,25,1,27,1,12,1,15,2,17,3,16,1,17,1,16,1,28,2,6,2,28,6,30,1,6,1,13,1,6,1,13,5,11,1,13,1,9,1,8,1,9,1,13,1,30,1,28,2,30,2,6,1,30,1,29,1,30,3,6,1,28,1,30,1,6,1,30,5,28,1,30,3,6,1,30,1,6,1,30,3,6,1,30,2,6,2,30,1,6,2,30,6,29,1,30,3,6,1,30,2,6,2,30,1,6,1,29,1,6,2,30,2,29,1,6,1,30,1,6,1,30,1,29,1,6,2,30,2,29,2,6,2,28,1,6,1,30,1,6,1,30,5,29,1,6,1,30,4,6,1,30,1,6,1,30,6,28,1,30,1,28,2,30,1,28,1,30,3,28,1,6,1,30,3,6,5,13,1,30,1,29,1,6,2,28,1,30,3,6,1,30,4,28,1,30,4,29,1,13,1,30,3,29,1,30,5,29,1,6,2,29,1,6,1,29,1,6,1,30,2,7,1,29,1,6,2,30,3,6,4,29,1,30,1,29,1,6,1,30,2,29,1,28,1,30,4,29,1,6,1,28,1,30,2,28,1,6,1,30,1,29,1,30,7,28,1,6,1,30,2,28,1,30,1,28,1,30,6,29,1,30,4,6,2,30,6,6,2,30,1,6,2,29,1,30,1,29,1,30,1,29,1,28,1,6,2,30,1,29,1,6,2,30,1,29,1,6,2,29,1,6,1,30,1,7,1,30,2,29,1,6,1,30,3,6,1,30,1,6,1,28,1,30,1,13,1,30,1,29,1,6,1,30,3,6,1,30,6,28,1,29,1,30,3,6,1,30,1,13,1,29,1,6,3,28,1,6,1,7,1,6,5,13,1,6,1,29,1,6,2,30,1,7,2,6,2,13,2,6,1,13,1,6,1,13,1,30,1,6,3,29,1,13,2,6,2,7,1,13,1,8,1,6,1,28,1,6,2,8,1,13,1,30,2,28,3,17,2,9,1,28,3,29,1,6,2,29,2,30,1,28,15,6,1,13,1,30,1,6,2,24,1,8,1,9,2,12,1,7,1,8,1,17,1,8,1,29,1,6,1,7,1,28,21,7,1,6,1,13,1,24,1,9,1,24,1,28,21,29,2,28,3,29,1,6,1,9,2,8,1,30,1,28,25,11,1,17,1,8,1,24,1,9,1,8,2,24,1,8,1,24,1,8,2,9,2,8,1,9,1,8,1,13,1,9,1,10,1,9,1,13,1,9,1,10,1,9,1,11,4,12,2,17,1,12,1,11,1,16,1,9,1,10,1,11,1,9,2,17,2,12,4,9,1,12,1,10,1,13,1,8,1,13,1,7,2,6,1,29,1,28,1,29,1,28,1,30,1,29,1,30,3,29,2,28,1,29,1,6,1,28,1,6,1,29,1,30,1,6,1,27,1,6,2,25,1,29,1,6,1,30,2,25,2,7,1,6,2,7,1,25,1,29,1,26,1,8,1,29,1,26,1,27,1,25,1,30,1,27,1,29,2,26,1,25,2,29,1,6,2,28,1,29,1,28,1,30,1,7,1,29,2,6,1,29,1,6,1,28,1,6,1,29,2,25,1,28,1,8,1,25,1,30,1,29,2,6,1,28,1,6,1,29,1,30,1,25,1,29,2,6,1,25,1,30,1,29,2,8,1,30,1,27,1,30,1,25,1,8,1,13,1,6,1,8,1,25,1,8,1,7,1,24,2,8,2,24,2,10,1,24,1,8,2,17,1,10,1,24,1,12,1,8,1,13,1,7,1,25,2,24,1,8,1,25,1,8,1,25,1,8,1,25,2,8,1,12,1,8,1,29,1,8,1,24,1,8,2,24,4,7,1,24,1,10,1,12,1,24,1,10,1,24,1,17,1,10,1,12,1,17,1,10,1,24,1,17,1,12,4,17,1,10,1,12,1,17,1,24,1,29,1,28,7,29,1,30,1,29,1,28,1,26,1,6,1,30,1,29,1,30,1,25,1,30,1,29,1,25,1,30,1,29,2,30,1,28,1,29,1,28,3,30,1,6,1,28,1,6,1,25,1,7,1,30,1,6,1,7,1,30,1,29,2,28,4,6,1,12,1,8,1,10,1,12,3,24,1,10,2,24,1,12,1,17,2,10,1,12,1,24,1,8,2,12,1,9,1,8,1,13,2,9,1,24,2,8,3,24,1,6,1,13,1,8,1,24,2,8,1,9,1,24,1,12,3,10,2,24,1,12,3,17,1,10,2,12,2,17,2,12,2,10,1,17,1,12,1,10,1,13,1,8,1,24,3,8,1,7,1,29,1,7,3,13,1,6,1,7,4,24,1,8,2,24,1,13,1,7,1,24,1,13,1,7,1,13,2,12,1,10,1,17,1,12,1,17,4,12,1,17,1,10,1,12,1,17,12,30,1,28,21,30,1,13,1,7,1,30,2,28,10,30,3,28,19,8,1,13,2,8,1,13,1,8,1,7,1,13,1,9,1,11,1,12,2,17,7,11,1,12,1,9,1,11,1,16,1,9,2,8,1,11,1,13,5,8,1,13,3,6,1,13,1,7,1,30,1,8,1,13,8,8,1,13,3,9,1,8,1,9,1,13,1,8,1,13,1,30,1,13,1,7,1,28,147,6,1,28,27,13,1,28,11,9,1,14,1,17,4,13,1,6,1,30,1,6,2,30,1,6,1,29,1,6,1,29,1,28,3,7,1,29,1,6,2,9,2,15,1,11,1,15,1,9,1,29,1,28,7,7,1,9,1,8,2,28,36,9,1,12,1,8,1,6,2,28,1,8,1,12,1,9,1,8,1,7,1,28,1,30,1,28,2,6,1,29,1,7,1,13,1,8,2,24,1,30,1,28,5,13,1,10,1,13,1,28,4,30,1,28,1,6,1,7,1,6,1,24,1,12,1,10,1,12,1,9,1,6,1,7,1,6,1,7,1,13,1,9,1,13,1,29,1,28,2,6,1,7,1,8,1,24,1,28,51,}, {28,6,13,1,30,1,24,1,9,1,8,2,13,1,29,1,24,1,7,2,6,1,13,3,10,1,9,7,8,1,10,1,8,1,9,3,11,1,16,1,17,5,14,1,16,1,9,1,13,1,6,1,28,5,6,2,9,1,8,1,28,6,6,1,10,1,13,1,8,1,6,1,29,2,30,1,28,8,6,1,8,1,6,1,28,44,6,7,8,1,30,1,28,2,30,1,13,1,9,1,15,1,13,2,6,1,13,1,6,1,13,2,6,2,8,1,30,1,6,1,30,1,28,4,29,2,13,2,12,1,13,2,6,1,28,2,7,1,8,1,9,1,12,1,9,3,7,1,24,1,8,3,13,1,29,2,6,1,13,1,14,1,13,2,28,1,6,2,28,1,29,1,28,20,30,1,28,14,30,1,6,1,30,1,28,1,10,1,24,1,13,1,28,1,6,1,28,3,30,1,8,1,24,1,13,1,24,1,8,1,24,1,8,3,29,1,13,1,30,2,29,1,28,1,30,1,29,2,30,1,6,2,29,1,6,1,24,1,8,1,11,1,9,2,17,2,15,1,8,1,28,8,30,1,28,1,6,2,28,3,7,1,30,1,28,1,29,1,30,1,6,2,28,1,29,1,30,1,28,3,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,13,1,6,1,30,2,6,1,30,2,28,1,30,1,29,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,6,1,28,2,30,2,28,4,6,1,28,3,30,2,6,2,29,1,6,1,30,2,7,1,13,1,28,1,6,1,29,1,28,2,30,1,6,1,28,1,13,1,6,2,29,1,28,1,30,1,6,1,30,1,7,1,13,4,9,1,10,1,11,1,16,1,11,2,17,7,16,2,17,1,16,7,10,1,16,1,17,1,11,1,16,1,17,1,11,1,16,2,11,1,16,1,8,1,11,1,17,1,11,2,16,1,9,1,11,3,16,1,9,4,10,1,16,1,13,2,9,1,7,1,13,1,8,1,13,1,8,1,9,1,13,2,7,1,9,1,13,1,11,1,9,1,10,1,9,2,13,1,6,1,30,1,6,2,28,1,30,1,6,1,30,2,6,1,8,1,13,1,6,3,8,1,6,1,13,2,29,1,13,1,8,2,13,2,6,1,13,1,7,1,24,1,13,2,8,1,6,1,8,2,13,1,9,4,8,1,9,1,13,1,9,1,10,1,13,1,9,2,16,1,11,2,16,3,11,4,16,1,10,1,16,1,9,1,11,3,16,2,9,1,11,3,17,1,9,1,10,1,9,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,9,2,11,1,10,1,11,2,9,1,11,1,9,2,10,1,9,4,11,1,9,2,8,1,9,1,16,1,9,1,11,3,9,1,11,1,9,1,11,4,9,1,16,1,11,1,16,2,11,1,9,1,10,1,16,1,11,3,17,1,16,1,9,2,17,1,11,1,17,2,12,1,17,1,12,2,17,2,9,1,11,1,8,2,11,1,10,1,8,1,9,1,8,1,24,2,8,1,9,4,12,1,9,1,8,1,9,1,13,1,10,3,17,5,16,2,11,2,17,1,11,1,10,1,11,3,10,1,9,1,10,1,8,2,13,3,6,1,13,1,6,2,29,1,30,2,28,1,30,2,28,1,29,1,28,7,30,1,28,2,30,2,8,1,30,1,7,1,29,1,30,1,29,1,28,1,30,1,28,7,30,1,28,6,30,1,28,2,13,1,6,1,28,1,6,1,24,1,6,3,7,1,29,1,8,1,6,1,7,1,13,1,7,1,13,1,6,1,24,1,9,1,13,2,17,3,11,1,17,1,9,1,16,1,9,4,10,1,8,2,9,9,11,1,9,2,10,1,11,1,9,1,11,1,10,1,9,1,11,2,9,1,11,3,9,1,13,1,9,2,8,2,11,1,16,1,11,1,9,1,16,3,11,1,9,1,10,1,9,2,17,1,11,1,9,1,10,1,16,1,17,1,16,1,9,1,16,1,17,1,11,1,16,2,8,1,12,1,17,1,11,1,10,1,16,1,17,1,11,3,12,1,17,1,12,1,11,1,17,1,16,2,17,2,16,2,10,1,17,3,16,1,11,1,17,1,11,1,17,1,10,1,17,1,16,2,8,1,12,1,10,1,11,2,13,1,9,1,8,1,9,1,11,1,9,1,13,1,10,1,9,1,8,1,6,1,8,2,9,1,12,1,9,1,13,2,8,1,13,1,9,1,6,1,13,2,9,1,8,1,13,6,9,1,8,2,9,1,30,1,13,1,9,1,7,1,13,1,6,1,13,2,24,1,13,1,9,1,13,1,6,2,13,2,8,3,6,1,8,1,13,1,6,1,30,1,28,1,6,1,28,2,6,1,29,1,6,1,29,1,30,1,6,1,13,1,29,1,13,1,6,1,30,1,6,1,8,1,29,1,6,4,13,1,29,1,13,1,30,1,6,1,29,2,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,1,30,1,28,1,6,1,13,1,17,2,16,1,17,1,11,1,10,1,11,1,10,1,8,3,13,3,8,3,9,1,8,2,13,1,9,3,10,1,8,1,9,1,17,4,16,1,11,1,9,2,11,1,9,2,16,1,11,3,9,1,16,1,17,2,16,1,17,2,16,3,11,1,10,1,9,3,16,1,11,1,9,2,12,1,9,2,8,1,11,1,13,1,9,3,16,1,11,2,16,1,11,2,16,2,11,1,17,1,16,1,11,3,8,1,13,1,6,1,30,1,28,31,7,1,17,1,15,1,7,1,6,2,29,1,13,1,17,1,15,1,12,1,17,3,16,1,17,2,28,3,13,1,30,1,28,6,13,2,6,2,13,4,9,3,13,3,28,2,30,1,28,1,6,1,30,1,28,1,30,1,6,2,30,4,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,2,6,2,30,1,6,1,30,2,6,3,30,2,6,1,28,1,29,1,6,1,30,2,6,1,30,1,6,2,29,1,6,2,28,1,6,3,30,1,29,1,28,1,30,2,6,1,30,2,6,1,29,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,29,1,6,1,30,1,6,1,28,1,6,1,30,1,29,1,30,4,6,1,30,2,29,1,30,2,6,1,30,4,29,1,28,1,30,4,6,1,30,2,29,1,30,2,28,1,6,2,7,1,6,5,30,1,6,1,30,1,6,1,30,5,28,1,30,2,6,1,30,3,29,1,30,1,28,1,13,1,6,2,28,1,30,6,6,3,30,2,6,1,30,1,6,1,30,2,6,3,30,1,6,1,30,1,29,1,30,1,6,2,29,1,6,3,28,1,6,1,28,1,30,2,28,1,30,4,6,2,28,1,30,11,6,1,28,1,6,1,30,1,7,1,6,2,30,2,29,1,6,1,28,1,6,1,30,5,28,1,30,2,29,1,28,2,30,1,6,1,29,1,30,2,6,1,29,1,6,1,30,3,29,1,30,9,6,1,30,3,29,1,6,1,30,1,6,2,30,1,6,1,7,1,30,2,6,1,30,1,6,1,7,1,6,4,30,1,6,2,28,1,30,5,6,1,28,1,6,1,30,2,28,1,6,1,30,1,6,1,13,1,29,2,30,1,13,2,6,4,30,1,6,1,30,2,6,1,30,1,8,1,6,2,13,1,7,1,29,1,13,1,30,1,29,1,13,3,6,1,30,1,6,1,30,1,13,1,6,2,7,1,6,3,7,1,9,1,6,1,13,1,6,1,13,1,29,1,28,4,8,1,17,1,10,1,17,1,7,1,29,2,30,1,13,1,30,1,7,1,29,1,28,17,29,1,30,1,28,2,8,2,9,1,13,2,6,1,8,1,17,1,13,1,30,1,7,1,30,1,28,22,6,2,24,1,9,1,6,1,28,18,30,1,28,3,29,1,6,1,28,1,6,1,13,2,9,2,8,1,13,1,28,25,13,1,17,1,8,1,24,2,8,1,24,1,8,2,9,1,8,1,9,1,24,2,8,1,24,3,9,2,24,1,9,5,12,1,11,1,10,1,11,8,12,1,9,1,10,1,11,1,12,2,17,1,10,1,8,1,12,2,10,1,24,1,8,1,7,1,6,1,7,1,6,1,7,1,30,1,28,1,30,1,6,2,25,1,29,2,30,1,29,1,28,2,29,1,6,2,30,1,7,1,6,1,7,1,6,1,7,2,30,1,6,1,7,1,29,1,8,2,29,1,8,1,25,1,6,3,27,2,29,1,25,1,27,1,29,2,25,1,29,1,27,1,26,1,30,1,29,2,26,1,6,1,26,1,25,2,28,1,25,1,30,1,6,1,25,1,30,1,6,2,7,1,6,1,28,1,25,1,30,1,6,3,25,1,29,1,6,3,30,1,6,1,29,1,6,1,25,1,29,1,28,1,30,1,29,2,6,2,28,1,27,1,29,1,6,1,7,1,8,1,24,1,8,2,24,1,8,2,24,5,17,1,24,1,7,1,10,1,24,1,12,1,24,3,12,1,24,3,8,1,24,1,25,1,8,1,25,1,26,1,25,1,8,1,24,1,8,1,24,1,8,1,25,2,12,1,8,1,24,1,8,1,24,5,17,1,9,1,12,1,17,1,24,1,17,1,10,1,24,1,12,3,17,1,10,1,24,1,17,1,12,1,8,1,17,1,24,1,29,1,28,7,29,1,28,1,29,1,30,1,25,1,29,1,28,1,27,1,28,1,29,1,27,1,28,3,30,2,29,2,30,3,28,1,29,5,30,1,25,1,6,3,13,1,29,1,28,4,13,1,9,1,10,1,9,1,12,1,10,3,17,1,12,1,9,2,10,1,9,1,10,1,9,1,12,1,9,1,17,1,13,1,17,1,24,1,12,1,8,1,24,2,12,1,8,1,10,1,13,2,8,1,10,1,24,1,13,1,12,1,24,1,9,1,12,1,24,1,10,1,12,2,24,1,12,2,17,1,12,2,10,1,12,1,17,2,12,1,17,1,12,1,17,1,12,2,17,1,12,1,10,2,8,1,10,1,13,1,24,2,29,1,13,1,6,1,13,1,8,2,13,2,10,1,24,1,8,1,9,1,8,2,28,1,13,1,9,1,24,1,8,1,24,1,17,2,12,1,10,1,9,1,17,3,12,2,17,3,12,1,17,11,30,1,28,20,30,1,13,1,6,1,30,1,28,10,30,2,28,21,13,2,7,2,8,2,13,1,9,1,10,1,9,1,10,1,11,1,17,2,11,1,17,7,9,2,8,1,9,2,8,2,13,3,9,1,13,2,9,1,8,1,13,1,8,1,13,4,8,1,13,8,8,1,13,2,10,1,8,1,9,1,13,5,29,1,30,1,28,146,7,1,30,1,28,22,30,2,28,2,13,1,28,2,6,1,28,7,29,1,24,1,17,4,9,1,7,1,6,1,7,1,28,1,29,1,30,2,28,3,30,1,7,1,29,1,7,1,6,1,13,2,7,1,24,1,10,1,24,1,15,1,11,1,28,7,6,1,8,1,9,1,8,1,13,1,28,36,12,1,11,1,6,1,28,1,29,1,28,1,8,1,24,1,12,1,13,1,6,1,28,1,30,1,28,1,6,2,28,1,8,1,13,2,8,1,9,1,29,1,28,5,7,1,9,1,24,1,28,5,6,1,29,2,13,1,24,2,9,1,12,2,13,1,30,1,28,1,7,1,9,1,10,1,13,1,28,4,7,1,13,1,8,1,28,50,29,1,}, {28,7,13,6,8,1,13,3,6,1,13,2,10,1,11,1,10,1,9,4,8,1,9,1,13,1,9,1,8,2,9,1,11,1,16,1,11,1,17,4,16,1,14,1,16,1,11,1,8,1,28,1,29,1,28,3,30,1,7,1,6,1,24,2,7,1,28,5,6,1,24,2,8,1,6,2,28,1,30,1,28,8,6,1,8,1,13,1,30,1,28,43,7,1,29,1,13,1,29,1,6,1,7,1,8,2,7,1,28,2,30,1,28,1,9,2,24,1,13,1,6,1,8,1,29,1,8,1,29,1,13,2,30,2,13,1,30,1,28,5,13,3,17,1,8,1,13,1,29,1,6,1,28,1,30,1,13,1,10,1,12,1,9,1,12,1,24,1,8,1,7,1,13,1,8,3,7,1,13,1,6,2,10,1,9,1,13,1,28,2,30,1,29,2,6,1,28,35,30,1,7,2,6,1,24,1,8,1,7,1,30,1,28,1,30,2,6,1,8,1,10,1,17,2,12,1,8,2,13,2,8,1,6,1,28,1,6,1,28,1,29,3,30,1,6,1,30,2,7,1,6,1,13,1,7,1,10,1,24,1,11,1,17,2,14,1,13,1,30,1,28,3,30,1,29,1,28,4,6,1,30,1,28,3,29,1,30,1,29,1,6,1,7,1,30,1,6,1,28,1,30,1,29,2,7,1,30,2,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,13,2,28,1,30,1,28,1,30,1,28,1,6,1,30,2,28,3,6,1,28,1,29,1,28,1,29,1,6,1,30,2,29,1,28,1,29,1,30,1,28,2,30,1,6,1,30,2,28,2,30,1,6,2,30,1,13,1,6,5,30,1,6,1,30,5,7,1,6,2,13,1,30,1,7,1,30,1,13,1,7,1,13,1,11,3,16,1,17,1,9,1,17,2,16,1,17,1,16,1,17,1,16,1,17,1,16,2,17,2,16,2,11,1,17,1,16,2,17,1,11,2,16,3,17,1,11,1,16,2,11,2,9,1,17,1,16,2,17,1,16,1,17,1,16,1,11,2,9,1,10,1,17,1,11,1,9,3,17,1,13,1,9,1,13,1,28,1,6,1,7,1,9,1,8,1,9,1,8,1,9,1,8,3,9,1,8,1,9,1,8,1,12,1,9,1,12,1,8,1,30,1,28,1,30,1,29,1,30,1,13,1,28,1,6,1,29,1,7,1,30,1,29,1,13,1,28,1,7,1,13,1,29,1,13,1,7,2,13,3,6,1,13,2,8,2,13,1,8,2,13,1,8,2,13,2,8,1,9,1,8,1,9,1,13,1,9,1,8,3,9,2,13,1,17,1,11,2,16,1,11,2,16,3,11,1,10,1,9,1,11,2,16,1,11,3,16,1,17,1,9,1,17,1,11,1,16,1,11,1,10,1,11,2,16,1,11,1,9,1,11,1,8,1,9,2,10,1,13,1,10,1,13,1,8,2,11,2,16,1,9,6,11,1,9,1,10,1,9,3,10,1,16,1,11,1,9,2,16,1,9,1,11,1,9,1,16,1,9,2,16,3,11,2,16,2,11,2,17,2,16,1,11,2,13,1,17,1,16,1,17,1,11,1,17,1,16,1,10,1,11,1,9,1,24,1,9,1,10,1,24,1,9,1,8,1,24,1,8,1,9,1,8,1,9,1,13,1,24,1,13,1,24,1,10,1,9,4,24,1,9,2,11,1,17,6,16,1,17,2,12,1,10,1,11,1,9,1,11,1,10,1,8,1,16,1,9,2,24,1,11,1,9,1,8,1,9,1,13,1,7,3,6,2,28,1,29,1,28,1,30,1,28,2,30,1,28,8,30,1,6,1,28,1,29,1,7,1,29,1,30,1,28,2,30,1,28,2,6,1,28,5,30,1,28,6,30,1,28,2,6,1,30,2,29,1,6,1,30,1,7,1,29,2,13,1,6,1,13,2,29,1,8,1,7,1,6,2,13,3,9,1,17,3,10,3,9,1,11,1,9,1,11,1,9,2,11,1,9,5,8,1,11,1,9,2,10,1,9,2,11,2,10,1,11,4,9,1,11,1,9,2,17,1,8,2,10,1,13,1,9,2,11,2,9,1,16,1,9,1,11,2,16,1,9,1,17,1,11,1,16,3,11,1,9,1,17,1,11,1,17,1,16,1,17,1,9,1,16,2,9,1,12,1,17,2,11,2,17,1,11,1,16,1,17,3,16,1,12,1,17,1,16,1,11,1,16,1,17,1,12,1,11,2,17,1,11,2,12,1,16,1,11,1,9,1,11,2,16,1,9,1,10,1,12,1,11,2,9,4,8,2,13,1,9,1,13,1,8,5,6,1,8,1,24,1,13,2,8,1,9,1,13,2,29,1,8,1,9,1,13,1,9,1,6,1,13,1,8,2,13,1,7,1,9,1,13,1,6,2,9,1,13,6,6,1,13,2,8,1,13,1,24,1,10,1,8,1,9,1,13,1,8,2,13,1,8,2,7,1,8,1,13,1,28,2,30,1,28,1,7,1,29,1,28,1,29,1,7,2,6,1,7,1,8,1,29,1,7,1,29,1,6,1,30,1,7,1,29,1,6,1,7,1,6,1,28,1,6,1,28,1,6,1,28,2,6,1,30,1,28,3,6,1,29,1,28,1,29,1,30,2,7,1,6,1,17,2,16,1,11,1,9,2,11,1,9,1,13,1,7,1,13,1,6,1,13,3,7,1,13,1,9,1,8,1,13,1,9,3,8,1,11,1,9,3,11,1,17,3,16,1,11,2,9,1,16,1,11,3,16,1,11,2,17,1,16,2,11,1,16,1,17,1,10,1,16,1,17,1,9,2,10,2,9,1,11,1,9,1,11,1,10,1,17,1,9,2,12,1,9,1,11,2,12,1,9,1,11,2,9,2,16,1,10,1,17,1,10,1,17,1,16,1,11,2,9,1,11,1,8,1,29,1,6,1,28,32,13,1,12,2,8,1,13,1,6,1,8,1,17,3,12,2,17,2,11,2,17,1,9,1,28,2,13,1,6,1,28,5,30,1,6,1,13,6,9,6,6,1,28,2,6,1,29,2,30,3,6,3,30,1,29,1,6,1,30,3,28,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,30,3,28,1,30,2,6,4,30,1,29,1,30,7,6,2,13,1,29,1,30,2,6,1,30,1,28,1,6,1,30,1,6,2,29,1,30,2,6,1,30,1,6,1,28,1,30,1,6,1,30,1,29,1,30,3,6,2,29,1,6,1,30,2,6,2,29,1,30,9,6,1,30,6,6,1,30,6,6,1,30,4,28,2,6,1,13,1,6,9,30,4,29,1,6,1,28,1,13,1,30,2,6,1,29,1,30,1,6,1,13,1,8,1,13,1,30,4,29,1,30,4,29,1,6,4,30,1,6,1,30,1,6,5,30,3,6,3,30,1,29,1,6,2,30,1,29,1,30,6,6,1,28,1,29,1,30,1,6,1,28,2,30,1,28,1,30,1,6,1,30,5,6,1,30,1,6,1,30,1,28,1,30,6,29,1,30,3,6,1,30,2,6,1,30,1,6,1,13,1,30,1,6,1,30,2,6,1,28,1,30,2,6,4,30,2,6,1,30,1,29,1,30,2,29,1,6,1,30,3,6,3,28,1,30,1,6,1,30,1,29,1,30,1,29,1,30,3,6,1,30,1,6,2,28,1,6,3,30,1,28,1,29,1,30,2,28,1,6,1,30,2,28,1,6,1,30,1,6,1,28,1,6,2,30,2,6,1,30,1,6,2,30,5,29,1,30,2,29,2,30,1,6,1,30,1,29,1,28,1,30,2,28,1,30,1,6,2,30,4,6,1,30,1,28,1,6,2,13,1,6,1,13,1,6,1,28,1,30,1,6,1,13,2,6,1,28,1,6,1,28,4,17,4,12,1,8,2,6,1,30,2,29,1,28,1,30,1,28,17,6,1,13,1,6,1,8,3,7,1,13,1,7,2,9,1,13,1,28,1,13,1,6,1,28,22,7,2,6,1,9,1,28,23,6,1,28,1,29,1,7,1,13,3,8,1,10,1,13,1,28,25,30,1,17,1,24,1,9,1,24,2,8,1,24,1,8,2,24,2,8,1,9,2,10,1,24,1,9,1,8,1,9,1,24,1,9,1,10,1,9,2,10,1,11,1,10,1,9,1,11,1,12,1,10,1,11,1,17,1,11,1,17,1,10,1,11,1,9,2,11,2,17,1,10,1,12,1,17,1,10,2,12,1,8,1,24,1,13,2,7,2,8,1,6,1,28,1,6,3,29,1,30,1,6,1,29,1,30,1,29,1,28,1,6,3,7,2,29,1,25,1,7,1,6,2,29,1,7,4,6,1,25,1,29,1,7,1,29,1,30,1,6,1,26,1,30,2,29,1,28,1,30,1,27,1,25,1,29,1,27,1,30,1,25,1,29,2,25,1,6,1,25,1,30,1,7,1,29,1,6,1,29,1,28,1,6,1,29,1,25,1,30,1,7,1,27,1,6,2,29,3,30,1,28,1,6,1,28,1,30,1,6,2,28,1,6,1,29,1,30,1,25,1,6,1,8,1,30,1,6,1,25,1,29,2,6,3,7,2,8,1,13,1,24,1,8,1,24,3,10,1,8,1,6,1,10,2,24,1,13,1,8,1,10,1,8,1,24,2,12,1,24,1,8,2,10,1,25,1,8,1,25,2,24,3,12,1,24,1,12,1,24,2,8,2,24,1,10,1,24,1,8,1,13,1,24,1,12,1,24,2,10,4,17,1,9,1,24,1,12,3,10,1,12,2,10,1,12,2,10,1,17,1,8,1,7,1,28,9,29,2,6,1,30,1,27,1,30,2,28,1,30,1,28,2,30,1,28,1,29,1,30,1,28,1,29,1,28,1,6,1,30,2,28,1,6,1,30,1,29,2,30,3,13,1,6,1,29,1,28,4,8,1,17,1,24,1,12,1,17,1,9,1,10,1,8,1,24,2,9,1,12,1,10,1,9,1,12,1,24,1,12,1,24,1,9,1,8,1,24,1,8,1,24,2,8,1,12,1,24,3,8,1,24,1,6,1,24,2,8,1,24,1,8,1,12,1,10,1,24,1,10,1,12,3,10,1,17,1,12,1,9,1,12,2,17,1,10,1,9,1,17,1,12,1,10,1,12,1,17,1,24,1,17,2,9,1,12,2,9,1,10,1,8,1,6,1,30,1,13,1,6,3,8,1,24,1,13,1,24,1,9,2,24,1,8,1,6,1,13,2,8,2,12,1,8,1,24,1,17,1,10,1,12,1,17,2,12,1,17,2,12,1,17,1,12,1,11,2,17,11,13,1,28,20,13,1,6,2,28,12,30,1,28,21,13,1,8,2,7,1,13,3,8,1,9,1,10,1,11,1,17,1,11,1,17,3,12,1,17,6,9,1,11,1,9,2,13,5,8,1,13,1,8,1,13,3,9,1,6,2,13,1,30,1,13,2,11,1,9,1,13,1,6,1,13,1,9,1,6,1,9,1,13,4,9,3,13,2,6,2,30,1,28,174,9,1,28,1,29,1,28,8,6,1,8,1,14,1,15,2,17,1,10,1,9,1,13,1,6,1,29,1,30,1,28,1,29,1,28,3,30,2,6,1,28,1,30,1,6,1,13,1,8,1,24,1,11,1,12,1,14,1,9,1,28,7,30,1,10,1,9,1,24,1,13,1,28,35,29,1,9,1,12,1,6,1,29,1,28,2,8,1,12,1,24,1,8,1,13,1,30,1,28,1,30,2,13,1,6,1,13,2,24,1,13,2,28,6,13,1,24,1,6,1,28,5,30,1,7,1,6,2,24,2,15,1,17,1,14,1,13,1,29,1,28,1,13,1,8,1,10,1,8,1,28,2,6,1,28,1,13,1,24,1,13,1,30,1,28,49,6,1,}, {28,1,30,1,28,7,13,1,6,1,7,1,8,1,13,1,11,1,24,2,13,2,6,1,13,1,6,1,11,1,13,1,10,1,8,1,10,1,8,1,9,1,13,1,9,1,8,1,13,1,9,1,10,1,9,1,10,1,17,5,14,2,8,1,13,1,6,1,28,2,30,1,28,2,30,1,7,1,24,1,8,1,6,1,28,5,29,1,9,1,8,2,13,1,28,2,30,1,28,6,30,1,28,1,30,1,8,1,30,2,28,26,30,1,28,1,30,1,28,14,7,1,13,1,8,2,7,2,8,2,7,1,28,3,7,1,8,1,15,1,9,1,13,2,6,1,30,1,7,1,6,1,28,1,7,1,8,1,7,1,6,1,30,1,28,1,6,1,28,1,30,2,6,1,13,2,12,1,13,1,6,2,28,2,30,1,13,2,12,1,10,1,9,1,13,2,6,1,8,1,24,1,12,1,13,2,30,1,8,1,7,1,9,2,28,1,29,1,30,1,6,1,13,1,6,1,28,18,30,1,29,1,28,15,29,1,28,1,29,1,6,1,8,2,13,1,6,1,28,1,30,1,28,2,30,1,8,1,12,1,10,1,9,1,10,2,24,1,13,4,30,1,6,1,28,1,29,1,30,1,28,1,30,1,28,1,29,2,6,2,13,2,9,2,17,3,14,1,8,1,28,1,30,1,28,8,30,1,29,1,28,3,30,1,6,4,7,1,30,1,7,1,28,1,29,1,30,1,28,1,30,1,28,1,6,1,28,1,29,1,28,1,30,1,28,1,30,2,29,1,30,1,6,2,28,1,6,1,28,1,29,1,30,1,28,1,29,1,30,1,6,1,29,1,6,1,30,2,28,2,30,1,28,6,29,1,28,1,29,1,30,1,28,1,6,1,28,1,30,1,29,1,28,1,6,1,30,1,13,1,30,3,13,2,7,1,13,1,6,2,29,1,8,1,13,1,9,2,13,1,9,1,13,1,10,2,9,1,11,1,17,1,11,1,16,2,11,1,16,4,17,3,16,2,17,1,11,1,17,3,11,2,17,1,16,1,17,1,16,2,11,2,17,1,11,1,16,1,9,1,11,4,10,1,11,1,16,3,11,2,16,1,17,1,11,1,17,1,9,1,17,1,11,2,9,2,11,2,16,1,17,2,16,1,13,1,7,1,8,1,13,2,8,2,9,2,8,1,9,4,8,1,9,1,10,1,9,1,10,1,13,1,30,2,28,1,6,1,8,1,6,1,29,1,6,1,30,1,29,1,7,1,6,2,13,2,6,1,13,1,6,1,13,1,29,1,13,1,7,1,13,1,6,1,13,1,24,1,13,1,6,1,13,4,9,1,8,1,9,1,13,1,9,1,13,1,11,1,9,2,13,1,9,1,11,1,8,2,9,1,13,1,11,1,16,1,11,5,16,1,11,2,16,2,11,1,9,1,16,1,9,1,11,1,16,1,11,2,17,1,10,1,8,1,11,3,13,1,9,2,16,1,9,7,11,1,8,1,9,3,8,1,9,2,11,1,10,1,8,1,11,1,9,1,10,1,9,3,16,1,11,1,9,1,11,3,9,1,10,1,9,3,16,1,11,1,9,1,11,1,17,1,11,1,16,1,11,2,9,1,11,2,16,1,11,1,9,1,11,1,16,2,17,1,16,2,10,1,16,1,17,2,9,1,10,1,12,1,11,1,13,1,8,4,9,1,13,1,9,1,7,1,8,2,11,1,8,1,13,1,24,1,8,1,13,1,9,1,8,1,24,3,11,1,17,6,11,1,17,1,11,1,12,1,11,1,9,1,17,1,16,1,12,1,11,1,10,1,9,1,8,2,11,1,8,2,24,1,8,1,13,1,28,1,6,1,29,1,28,1,6,1,29,1,28,1,29,1,28,1,30,1,28,2,30,1,28,6,30,1,28,1,6,1,7,1,30,1,28,1,30,1,28,8,30,1,28,10,30,1,6,1,29,1,28,1,6,3,29,2,13,1,6,1,13,1,6,1,29,1,6,2,7,1,13,3,7,1,9,1,13,1,17,4,9,1,11,1,10,1,9,4,11,1,10,1,9,2,8,1,10,2,9,2,11,1,10,1,9,5,10,1,8,1,11,3,9,1,11,1,9,4,11,1,13,1,8,1,13,1,17,1,13,1,11,1,16,1,17,1,9,1,16,1,11,2,9,1,16,1,11,2,8,1,16,1,11,1,16,3,11,1,17,2,16,1,12,1,16,2,17,1,11,1,16,1,17,1,9,1,11,1,17,1,16,1,17,1,11,1,9,1,17,1,12,1,9,2,17,2,10,1,9,1,16,1,11,1,12,1,9,1,16,1,9,1,11,5,9,1,11,2,12,1,9,1,13,1,9,1,13,1,12,1,9,1,13,2,9,1,11,1,13,2,8,1,10,1,6,1,13,1,24,1,13,2,7,1,11,1,9,1,6,1,13,2,8,1,13,3,9,1,13,1,8,1,7,2,8,3,13,1,6,1,8,1,24,1,13,7,9,1,8,1,11,1,10,2,13,1,9,1,8,2,24,2,13,1,8,1,13,1,8,2,6,1,30,1,28,3,30,1,28,1,30,1,6,1,29,1,30,1,13,2,7,1,6,2,30,1,6,1,30,1,6,2,30,1,7,1,28,1,30,1,6,1,29,1,28,1,30,2,28,2,30,1,6,2,28,1,30,1,28,2,29,1,30,1,6,1,8,1,17,1,16,2,17,1,16,1,9,2,13,3,29,1,6,4,13,1,9,1,8,2,9,4,16,1,9,1,8,1,9,1,8,1,17,4,9,1,16,1,11,2,16,1,11,1,10,1,11,1,16,3,17,4,11,3,9,1,11,2,12,1,17,1,11,1,16,1,9,1,11,1,10,1,11,1,16,1,11,1,16,2,11,1,9,1,16,1,9,2,10,1,11,2,9,1,8,1,9,3,11,1,8,1,17,1,8,1,13,2,6,1,29,1,28,33,13,1,17,1,9,1,10,1,17,1,12,1,17,3,12,2,17,3,16,2,17,1,16,1,28,2,30,1,13,1,28,5,30,1,13,1,6,1,13,6,9,2,13,1,9,1,11,1,13,1,30,1,28,1,6,1,30,2,29,1,30,2,6,1,30,6,6,1,29,1,30,6,6,1,28,1,6,2,30,3,6,3,13,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,3,6,1,30,2,6,1,30,1,6,2,30,11,29,1,30,3,6,1,29,1,6,1,30,2,6,2,29,1,6,2,30,2,29,1,6,2,30,1,6,2,30,2,6,1,30,5,29,1,6,1,30,4,28,1,30,4,28,1,30,1,6,1,30,2,6,1,30,3,6,2,30,1,6,1,13,2,6,1,29,1,6,2,30,2,28,1,30,1,29,1,30,1,6,1,30,3,6,1,28,2,6,1,8,1,6,1,30,2,28,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,3,6,1,29,2,6,4,30,1,6,2,30,1,6,5,30,1,6,3,29,2,30,5,28,1,30,2,6,1,28,1,30,2,28,1,6,2,28,1,29,1,30,1,6,1,28,1,30,2,28,1,30,2,6,2,30,4,6,1,30,2,28,1,30,4,6,1,29,1,30,1,28,1,30,3,6,1,30,3,28,1,6,1,7,1,29,1,6,2,30,1,6,1,28,1,30,1,29,1,6,1,29,1,30,2,28,1,30,1,28,5,6,1,30,1,28,1,30,3,29,1,28,1,6,1,30,1,6,1,30,2,7,1,6,3,28,1,6,1,30,1,28,3,29,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,2,13,1,30,1,28,1,30,2,6,2,30,3,29,1,30,1,6,2,30,1,6,1,30,7,28,1,30,1,7,1,30,1,29,1,6,1,30,5,6,2,13,2,30,2,28,1,6,1,13,2,6,1,28,1,6,1,28,3,16,1,17,3,12,1,17,4,12,1,8,1,9,1,24,1,9,1,8,1,7,1,6,1,28,13,7,1,9,1,8,4,13,2,7,1,13,2,12,1,6,1,13,2,30,1,28,21,29,1,30,1,6,1,7,1,9,1,28,24,29,1,30,1,13,1,30,1,9,1,8,1,12,1,8,1,13,1,28,26,17,1,8,1,9,1,13,1,9,1,13,1,9,2,24,1,10,1,13,1,24,2,8,1,9,2,24,2,9,3,11,1,9,4,10,1,9,2,11,1,9,1,10,3,11,1,9,1,10,2,9,1,24,1,12,2,17,2,10,2,17,1,10,1,9,1,10,1,24,1,10,1,13,1,8,1,25,1,6,1,25,1,6,2,29,1,30,1,6,1,29,3,6,2,29,1,30,1,29,1,6,1,28,1,29,1,13,1,29,1,6,1,29,1,7,1,28,1,7,1,6,2,13,1,29,2,7,1,28,1,29,1,6,1,30,2,28,1,27,1,26,1,30,1,29,1,25,1,27,1,29,1,30,1,29,1,6,1,25,1,26,1,25,1,26,1,30,3,29,1,6,1,7,1,28,1,6,1,25,1,6,1,28,1,6,1,7,1,28,1,25,1,30,1,29,2,27,1,7,1,29,1,6,1,29,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,28,1,29,1,6,1,8,1,25,1,13,1,7,2,29,1,24,1,13,1,25,1,10,1,8,1,24,4,25,1,17,1,8,1,10,1,24,1,8,3,24,2,8,2,24,3,8,1,6,1,24,1,7,1,24,4,25,1,24,1,29,1,24,1,8,1,24,1,10,2,24,1,10,1,24,1,8,1,24,2,12,1,24,1,17,1,24,1,17,1,12,2,10,1,17,1,12,2,24,1,12,1,24,1,12,1,17,1,10,1,12,2,24,1,30,1,28,8,30,1,6,2,29,1,28,1,6,1,28,1,7,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,29,1,30,1,28,2,30,1,6,1,28,1,29,1,30,1,28,1,6,1,30,1,6,1,29,1,30,1,7,1,29,1,28,4,13,1,17,1,12,1,9,1,13,1,8,1,10,2,9,1,24,2,12,1,10,1,9,1,12,1,13,1,12,1,17,1,24,1,10,1,9,2,8,1,12,2,8,1,24,2,9,1,13,1,24,1,8,1,9,1,8,2,10,1,24,1,17,1,12,4,13,1,17,1,24,1,7,1,12,1,17,1,12,1,24,1,12,1,17,2,12,2,9,1,12,1,9,1,12,3,24,1,10,1,24,2,13,1,10,1,7,1,8,1,7,1,29,1,13,3,24,1,12,1,10,1,13,1,8,1,6,1,8,1,6,1,13,2,24,1,6,1,10,1,17,1,12,1,24,1,10,1,12,2,17,5,12,2,17,3,12,1,17,9,8,1,28,19,8,1,13,1,6,2,28,33,13,1,9,1,8,1,24,1,8,1,7,1,13,1,9,1,8,1,12,1,11,2,17,3,11,1,10,1,17,2,12,1,17,3,9,1,10,1,11,1,9,1,11,2,9,2,13,2,9,1,13,1,9,2,13,4,9,1,13,4,6,1,9,1,13,1,9,1,6,1,9,1,8,1,9,1,13,2,9,5,13,3,6,2,28,174,13,1,28,3,6,1,28,6,7,1,8,1,10,1,15,1,12,1,15,2,12,2,13,1,7,1,30,1,29,1,6,1,28,1,30,1,28,5,30,1,13,1,8,1,10,1,11,1,9,1,15,2,13,1,28,7,30,1,8,1,24,1,8,1,6,1,28,34,30,2,9,1,24,1,29,1,30,1,28,2,7,1,24,1,10,1,13,1,6,1,29,1,28,1,30,4,6,2,24,1,8,1,13,1,28,5,30,1,8,1,9,1,30,1,28,5,29,1,6,1,13,1,8,2,10,1,15,2,14,1,6,1,7,1,29,1,8,1,10,1,9,1,13,1,28,4,13,1,8,1,6,1,28,49,29,1,8,1,}, {28,3,30,1,28,5,30,2,28,1,6,1,8,1,6,1,8,1,13,3,9,1,13,1,9,1,8,1,9,1,11,1,9,1,16,1,8,1,13,1,9,3,8,1,11,1,10,1,9,1,16,1,17,5,14,1,16,1,9,1,13,1,6,1,28,5,6,1,7,1,12,1,13,1,7,1,28,5,6,1,8,2,13,1,8,1,28,1,30,2,28,7,30,1,6,1,7,1,8,1,28,42,29,1,28,1,6,1,7,2,13,1,8,1,7,1,6,1,17,1,7,1,28,3,13,1,8,1,17,1,11,1,8,1,7,1,13,2,29,2,13,2,6,1,13,1,6,1,7,1,28,1,30,4,13,1,8,1,13,1,11,1,10,1,6,1,28,1,6,1,30,1,28,2,11,1,12,1,10,1,9,1,7,1,13,1,8,2,6,1,17,1,13,3,6,2,24,2,13,1,6,1,28,1,6,2,13,1,6,1,28,35,30,1,13,1,30,1,24,1,13,2,29,2,28,2,6,1,30,1,8,1,17,1,12,1,9,1,15,1,8,1,9,1,8,2,13,1,29,1,6,1,29,1,6,1,30,1,29,2,6,1,28,1,6,1,13,1,29,1,7,1,6,1,7,1,8,1,12,1,10,1,16,2,14,1,9,1,30,1,28,9,6,2,28,3,6,3,30,1,13,1,6,1,30,1,6,2,30,2,28,1,30,1,6,1,28,2,30,1,28,1,30,1,29,1,6,1,29,1,30,1,28,1,6,1,30,1,29,1,28,5,30,1,28,1,29,1,28,1,29,1,28,1,29,2,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,6,2,28,1,30,1,6,1,29,1,6,1,7,1,8,2,7,1,13,2,9,2,11,1,8,1,16,1,17,1,9,1,16,1,17,1,16,2,17,1,16,1,11,1,17,1,11,1,17,1,11,1,16,1,17,1,16,2,17,2,16,3,17,5,16,1,17,2,16,2,17,1,16,2,17,1,11,1,16,1,17,1,16,1,11,1,16,4,17,1,9,1,11,1,16,2,11,1,9,1,11,2,17,1,16,1,11,1,16,1,11,1,16,2,9,1,17,1,10,1,9,2,11,1,9,1,11,2,13,1,6,1,13,1,9,2,13,1,8,1,9,2,13,1,10,1,13,1,9,1,13,1,9,3,13,1,17,1,9,1,28,1,29,1,30,3,13,2,6,1,29,1,13,1,7,1,28,1,7,1,30,1,13,1,24,1,13,1,7,1,13,1,28,1,8,1,6,2,9,1,13,1,8,1,13,2,8,1,9,1,8,3,13,4,8,1,10,1,13,1,9,4,13,1,9,1,8,1,11,1,17,1,16,6,11,3,9,1,11,1,9,1,11,1,16,1,9,1,11,5,9,1,11,2,9,2,16,1,9,1,11,1,9,3,8,1,11,1,8,1,9,1,8,1,9,1,8,1,9,2,13,1,9,5,11,1,9,1,8,1,9,3,10,1,11,1,9,1,11,3,9,1,10,1,11,1,9,1,11,3,10,1,16,1,10,1,16,2,11,1,9,1,11,1,16,1,11,1,16,2,11,1,9,1,11,2,9,1,17,2,11,1,17,1,11,3,9,2,8,1,12,1,24,1,8,2,24,3,13,3,8,5,13,1,8,2,24,1,8,2,24,1,9,1,11,1,17,6,10,1,12,1,17,2,12,2,17,1,9,1,11,1,9,2,10,1,9,1,8,1,9,1,24,1,13,1,8,1,13,1,6,1,29,3,30,4,28,2,29,1,28,5,30,3,29,2,6,1,29,2,30,1,29,1,6,1,29,1,28,1,30,1,28,2,30,1,28,4,30,1,28,6,30,1,28,1,29,1,28,1,6,1,29,1,28,1,29,1,6,1,28,1,6,1,7,1,30,1,29,1,6,2,7,1,30,1,7,1,6,3,8,1,6,1,13,1,17,1,11,1,17,2,10,1,9,3,10,1,11,1,8,1,9,1,11,1,9,1,8,1,10,1,8,1,9,1,11,1,9,5,11,1,9,2,16,1,11,2,9,1,11,2,10,1,11,2,9,1,8,1,9,2,8,1,9,1,16,1,10,1,17,1,11,1,10,1,17,1,11,1,9,2,10,1,11,1,17,1,16,1,17,1,16,1,11,3,17,3,11,1,17,1,10,1,17,2,16,1,17,3,16,1,17,1,11,1,17,2,16,1,10,1,17,1,16,1,12,1,17,1,16,1,17,2,9,1,10,1,11,1,9,1,12,1,11,1,9,6,13,1,11,1,9,3,10,1,8,1,24,1,8,2,13,1,8,1,13,1,8,1,24,1,9,1,6,1,9,1,7,1,8,1,6,1,29,1,8,1,13,1,9,1,12,1,13,1,8,1,6,1,13,2,8,1,13,2,29,1,13,1,6,1,13,1,8,2,9,1,7,1,8,1,6,1,13,1,8,2,7,1,8,1,29,1,13,1,8,1,13,1,9,1,8,1,9,1,8,2,6,1,8,3,13,1,8,1,7,1,13,2,8,1,13,2,28,3,30,1,28,1,30,1,6,1,7,2,6,1,29,1,13,1,6,1,13,1,7,1,6,1,30,2,29,2,28,1,6,1,30,2,28,1,7,1,30,2,28,5,30,1,28,1,30,2,28,1,30,1,28,1,9,1,17,1,16,3,11,1,13,1,9,1,7,1,24,1,29,1,30,1,6,1,29,1,28,1,6,1,29,1,7,1,8,1,9,5,11,1,13,1,7,1,8,1,9,2,17,4,16,1,11,1,12,1,16,1,9,1,17,1,11,2,16,1,17,3,16,1,10,1,11,2,9,1,8,2,10,1,16,1,11,1,16,1,10,1,16,1,11,1,10,2,16,2,10,1,11,1,9,3,10,2,11,2,10,1,11,1,8,1,9,2,10,1,9,1,8,1,13,1,6,3,30,1,28,34,13,1,17,8,11,1,9,1,17,3,16,1,11,1,16,1,17,1,30,1,28,1,30,1,13,2,28,4,30,1,13,4,9,1,13,3,9,1,13,1,9,2,11,1,8,1,30,1,28,1,6,1,30,3,6,1,29,1,13,1,6,1,30,2,28,1,6,1,29,3,30,3,29,1,30,2,6,1,30,1,6,1,29,2,6,2,30,1,6,2,13,1,30,1,13,1,29,1,6,2,28,1,30,1,29,1,30,1,6,1,30,1,6,4,29,1,6,2,29,1,6,1,30,1,28,1,6,1,28,3,6,3,28,1,29,1,30,1,29,1,30,4,28,1,30,9,28,1,30,2,6,1,30,1,28,1,30,3,6,1,30,12,6,1,30,2,6,1,29,1,30,1,6,1,30,3,6,1,28,1,29,1,6,1,30,1,6,4,28,1,30,7,6,1,30,2,6,1,30,1,6,1,28,1,8,1,6,1,28,1,6,1,30,3,28,1,30,1,28,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,13,1,30,2,6,1,30,1,6,1,30,1,6,6,30,2,6,1,29,1,6,3,30,3,6,2,30,1,6,1,30,3,29,1,30,2,28,1,6,1,28,1,6,1,30,1,6,1,30,1,28,2,30,1,28,1,30,4,28,1,30,5,6,1,30,2,28,1,30,1,6,1,30,1,28,1,6,1,30,3,7,1,30,9,28,3,6,1,28,1,30,5,28,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,29,1,6,1,30,2,28,1,6,1,30,2,6,1,28,2,30,2,28,1,6,1,30,1,29,1,6,1,30,1,13,1,6,2,30,1,6,1,30,3,29,1,30,1,28,1,30,1,6,1,30,1,29,1,6,3,30,2,28,1,30,1,29,1,28,1,30,1,6,1,30,1,6,1,30,2,13,1,6,1,30,1,29,1,30,1,6,2,30,2,28,2,30,1,8,1,30,1,6,1,30,2,28,2,17,12,12,3,11,1,9,1,17,2,10,1,11,1,17,1,11,1,6,2,29,1,30,1,6,1,13,1,9,2,8,1,13,1,8,1,13,1,6,1,13,1,9,1,11,1,13,1,6,1,13,1,17,1,8,1,7,1,9,1,29,1,28,22,6,1,29,1,24,1,6,1,28,24,7,1,6,1,7,1,13,1,8,1,11,1,16,1,9,1,8,1,28,26,12,1,9,2,24,1,9,1,24,1,8,3,24,1,8,1,24,1,9,6,24,1,11,1,10,1,9,6,10,1,8,1,9,2,11,1,12,1,9,3,11,1,9,1,10,3,8,1,17,1,7,1,9,1,17,1,12,1,10,1,12,1,24,1,10,1,12,1,24,2,25,3,29,1,6,1,26,1,28,1,7,1,30,1,6,1,29,1,7,1,30,1,7,1,6,3,30,1,29,1,7,1,13,1,7,1,6,3,30,2,8,1,6,1,7,1,6,1,28,2,29,1,28,1,27,1,28,1,30,1,29,1,27,1,26,1,28,1,29,1,25,1,29,5,30,1,6,1,29,1,30,1,8,1,30,3,7,1,29,1,6,1,29,2,28,1,29,1,7,1,27,1,30,1,25,1,29,4,28,1,30,1,29,2,28,1,30,1,29,1,7,1,28,1,29,1,6,1,25,1,29,1,7,1,6,1,29,1,8,1,30,1,6,1,7,1,25,1,8,1,24,1,8,1,6,1,24,2,13,1,24,2,10,1,7,1,12,1,8,1,10,1,8,1,13,1,24,5,13,1,10,1,25,1,10,1,8,1,24,1,25,1,10,1,8,1,24,1,12,1,6,1,25,2,24,2,25,1,24,1,8,1,24,2,7,1,24,2,10,1,12,1,17,1,12,2,17,1,12,1,17,1,8,1,12,1,24,2,12,1,10,1,24,1,12,1,10,2,12,2,24,1,30,1,28,11,6,1,28,3,29,1,30,1,28,1,30,1,28,5,30,1,28,4,29,1,28,1,30,2,29,1,28,1,29,1,13,1,29,1,7,1,8,1,6,1,29,1,28,3,17,1,12,1,17,3,8,2,24,1,10,1,8,1,10,2,24,1,12,2,9,1,12,1,10,1,12,1,24,1,8,2,9,1,12,1,24,2,12,1,24,1,9,1,12,1,13,1,8,2,13,1,12,2,10,2,24,1,9,1,12,2,10,1,12,1,17,1,9,1,12,1,9,1,12,2,10,1,17,1,12,2,9,1,17,1,12,8,24,1,13,1,8,1,13,1,7,1,13,1,24,1,7,1,24,1,8,1,24,1,13,2,7,2,6,1,13,1,8,2,13,1,8,1,10,1,8,1,12,2,10,1,12,1,17,1,12,1,17,2,12,1,10,1,17,1,9,1,17,5,9,1,17,8,8,1,28,18,6,1,13,2,30,1,28,33,7,1,13,1,8,1,13,2,9,1,8,1,24,1,9,1,10,1,11,1,12,2,11,1,12,1,17,2,12,4,17,3,9,3,11,2,13,1,11,1,9,3,13,1,11,1,9,1,13,3,10,1,9,1,13,5,8,1,6,1,13,1,8,1,29,1,9,1,13,3,8,1,9,1,13,1,9,1,8,1,9,2,8,1,6,1,30,1,6,1,28,1,30,1,28,167,30,1,28,4,29,1,6,1,28,1,30,1,28,7,30,1,24,1,15,2,9,2,10,1,24,1,13,1,24,1,13,1,6,1,30,1,29,1,28,4,30,1,6,2,29,1,6,1,13,1,14,1,10,1,15,1,12,1,15,1,8,1,28,7,13,1,9,1,11,1,24,1,6,1,28,35,13,1,16,1,24,1,28,4,13,2,24,1,7,1,30,1,28,4,7,1,29,1,6,1,7,1,24,1,8,2,30,1,28,4,29,1,9,1,8,1,6,1,28,5,6,2,13,2,12,1,8,1,9,1,24,2,6,1,13,1,7,1,6,1,8,1,9,1,6,1,28,3,6,1,8,1,9,1,13,1,28,50,8,1,}, {28,1,30,1,28,5,30,2,6,1,28,1,29,1,28,1,6,1,28,1,8,1,13,1,8,1,9,1,8,1,13,1,9,3,8,1,11,1,9,2,11,3,8,1,10,1,8,1,9,1,11,2,17,6,14,1,10,1,8,1,28,1,30,2,28,2,30,1,6,1,7,1,24,2,30,1,28,5,6,1,8,1,24,1,8,1,6,1,28,1,29,1,28,8,6,1,28,1,7,1,29,1,30,1,28,41,30,3,13,1,7,2,6,1,8,1,9,1,24,1,29,1,28,2,6,1,28,1,9,1,17,1,9,1,6,1,13,1,6,1,13,1,29,1,6,1,7,1,13,2,8,1,28,1,30,3,6,1,30,2,29,1,13,1,8,1,9,1,10,1,6,1,30,2,28,2,6,1,8,1,11,1,10,1,13,1,9,1,13,2,24,1,9,1,24,1,9,1,7,1,6,1,7,1,13,1,9,1,6,1,29,1,28,2,30,1,13,2,29,1,28,35,30,1,6,1,29,1,7,1,8,1,9,1,13,1,30,1,28,2,30,1,28,1,7,1,12,1,15,1,17,1,9,1,11,1,9,1,24,2,13,2,30,1,6,2,29,1,28,1,30,1,28,4,6,1,7,1,13,1,8,1,12,1,10,2,17,1,14,2,13,1,6,1,28,14,6,1,7,1,30,1,7,1,6,2,30,1,6,1,28,1,6,1,28,1,30,3,29,1,28,3,29,1,28,1,7,1,13,1,7,1,30,1,28,5,29,1,28,2,30,1,6,1,30,1,6,1,28,9,29,1,30,1,29,1,28,1,6,1,30,1,28,1,30,2,6,1,7,1,30,1,29,1,30,1,9,1,10,1,9,3,17,2,16,3,17,1,9,1,17,1,10,1,17,1,16,1,17,2,16,2,17,1,16,2,11,1,17,2,16,4,17,1,16,1,11,1,16,1,17,1,11,1,16,1,17,1,9,1,11,1,17,1,16,2,17,2,16,2,17,1,11,1,17,1,16,1,9,1,17,1,16,1,11,1,16,1,17,1,11,2,9,1,11,2,17,1,16,2,11,2,17,1,11,1,17,2,16,1,9,1,11,2,9,1,17,1,11,1,16,1,9,1,11,1,16,1,8,2,6,1,9,1,8,1,13,1,9,3,8,1,9,3,8,1,9,1,13,1,9,2,17,1,10,1,6,2,28,2,30,1,6,2,29,1,7,1,6,1,24,1,30,1,6,2,30,1,6,2,13,3,28,1,30,1,13,5,8,1,13,1,8,2,13,1,11,1,13,2,8,1,9,2,8,1,9,1,11,1,9,1,8,1,13,1,8,1,9,3,17,2,11,1,16,1,11,3,16,1,9,1,11,1,16,2,10,1,11,2,16,1,9,1,11,1,16,1,10,2,11,1,8,1,9,2,11,1,9,2,10,1,8,1,9,5,8,1,9,1,8,2,10,1,9,4,10,1,9,3,11,1,9,5,8,1,9,3,11,4,16,1,9,2,16,1,9,1,11,1,16,1,9,1,11,2,9,1,11,1,9,1,11,2,17,1,11,4,9,1,16,1,10,1,17,1,12,1,17,1,9,2,12,1,13,1,24,2,13,1,24,1,8,1,13,1,6,1,13,2,8,4,13,2,24,1,8,1,13,1,9,1,13,1,8,1,9,1,8,2,12,1,17,7,11,1,16,1,12,1,9,1,17,1,16,1,11,1,16,1,17,1,9,4,8,3,13,4,30,2,29,1,28,1,30,1,28,1,29,1,28,1,6,1,30,2,29,1,28,2,6,1,28,1,30,2,6,1,29,2,30,1,7,1,28,4,30,2,28,1,30,1,28,2,30,1,6,1,28,11,29,1,28,3,30,1,6,1,30,1,29,1,6,1,7,1,6,2,30,1,6,2,29,1,7,1,29,1,13,4,17,3,9,1,16,1,9,2,16,1,9,1,10,2,9,1,10,1,9,2,11,1,9,2,11,1,9,5,10,1,11,3,9,1,10,1,16,1,9,1,11,1,16,1,8,1,11,1,13,2,9,1,8,1,17,1,11,1,17,1,16,2,11,1,16,2,17,3,11,1,17,1,10,1,11,1,10,1,9,2,11,2,17,1,9,1,11,2,17,1,16,1,17,1,16,1,11,1,17,1,11,1,17,2,11,1,17,1,11,3,12,1,11,3,9,1,12,1,9,1,17,1,8,1,17,1,8,1,10,2,9,3,11,2,12,1,9,1,17,1,10,1,9,1,8,1,9,1,8,2,13,1,24,1,9,1,13,4,8,1,13,2,6,1,8,1,13,2,7,1,6,1,8,1,11,1,6,1,13,1,7,1,13,1,8,1,28,1,13,1,8,1,13,2,8,1,13,3,6,1,8,1,13,3,8,1,13,2,8,1,13,1,9,1,6,1,8,1,24,2,13,6,6,1,8,3,7,1,13,1,7,1,6,1,13,1,6,1,29,1,30,1,28,2,30,2,6,3,7,1,28,1,7,1,29,1,13,1,28,1,6,1,29,1,6,2,28,1,29,1,6,1,30,1,6,1,28,1,30,1,28,2,29,1,28,1,30,1,28,2,30,1,28,3,30,2,9,1,12,1,11,2,9,4,13,1,30,1,29,1,28,5,6,1,13,2,6,1,9,2,11,3,6,1,30,1,13,1,24,1,10,1,12,1,17,3,11,1,16,1,11,1,10,1,9,1,11,1,16,1,11,2,16,1,17,2,16,1,9,1,8,3,9,2,8,2,11,1,10,1,11,1,10,1,11,1,10,1,17,2,11,2,17,1,9,1,12,1,10,1,11,1,9,1,12,1,9,2,8,1,24,2,8,1,13,2,7,1,30,1,6,1,28,2,30,1,28,34,6,1,17,8,12,1,10,1,11,1,17,2,16,1,17,1,16,1,17,1,11,1,28,2,13,1,7,1,28,5,6,1,13,7,9,2,13,1,9,1,13,3,28,1,30,2,29,1,30,4,28,1,30,3,6,1,30,6,29,1,6,1,30,1,29,1,6,1,28,1,6,1,29,1,6,1,30,2,13,1,7,2,6,1,30,1,6,1,28,1,29,2,6,1,30,4,29,1,6,2,30,2,6,2,30,2,6,1,28,1,6,1,30,4,6,1,30,4,6,1,30,1,28,1,30,1,6,2,29,2,30,4,29,2,30,1,28,1,30,3,28,2,30,2,6,1,29,1,30,3,29,1,30,1,6,1,28,4,6,1,28,1,30,1,6,1,28,1,6,1,28,1,13,1,30,2,29,1,30,2,29,1,30,2,29,1,30,2,28,1,30,1,28,1,6,1,28,1,6,1,30,3,6,1,30,2,28,1,30,2,29,1,28,1,13,2,30,3,29,1,30,3,29,1,30,4,28,2,6,1,30,1,6,2,28,2,29,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,29,1,30,1,29,1,30,1,29,1,6,1,30,3,6,1,29,1,6,1,30,3,6,1,30,1,28,1,6,1,30,2,6,2,30,1,28,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,2,6,1,30,2,6,2,30,3,28,2,30,2,29,1,28,1,6,1,30,3,6,1,30,1,28,1,30,5,28,2,30,2,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,30,1,29,1,28,1,30,1,6,1,30,1,6,1,30,3,6,1,30,3,6,4,30,2,6,2,29,1,6,1,30,1,29,1,30,1,6,1,30,1,28,1,30,3,29,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,2,30,2,6,2,30,1,6,2,28,2,30,11,6,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,13,2,30,3,28,1,17,3,12,1,17,6,12,1,10,1,17,1,12,1,24,2,10,1,24,1,8,1,10,1,8,1,7,2,6,4,12,1,28,4,13,1,9,2,13,1,11,1,13,2,8,1,7,1,6,1,8,1,12,1,9,1,11,1,9,1,30,1,28,21,30,2,6,1,7,1,28,23,30,1,7,2,13,1,30,1,9,2,10,1,11,1,9,1,8,1,28,26,13,1,9,2,13,1,8,1,9,1,8,1,24,1,9,1,8,1,9,1,8,1,9,4,10,1,24,1,10,1,9,1,10,2,9,4,10,1,9,1,10,1,8,1,10,2,9,2,8,1,9,2,10,1,9,1,11,1,8,1,9,1,10,1,24,1,12,3,17,1,10,2,12,1,8,1,24,1,8,1,24,1,25,1,7,1,6,1,30,1,25,1,8,1,28,1,6,1,30,1,29,3,6,1,30,1,6,1,28,1,7,1,29,1,6,1,28,1,7,1,6,1,13,1,29,1,6,1,13,1,7,1,6,3,30,2,28,1,29,3,28,1,30,1,27,2,30,1,6,1,30,2,25,1,6,1,25,1,6,1,30,1,6,1,29,1,25,1,29,1,30,1,27,2,6,1,30,2,29,1,6,1,29,1,6,1,29,1,30,3,28,1,29,1,30,2,6,1,30,1,6,2,30,1,7,1,29,1,7,1,29,1,28,1,6,2,25,2,29,1,27,1,25,1,28,1,26,1,30,1,25,1,6,2,8,1,24,1,13,1,8,1,24,2,12,1,24,1,7,1,10,1,24,2,10,1,8,1,24,7,7,1,25,1,24,2,7,1,24,1,8,2,10,1,6,1,24,1,8,1,25,1,8,2,24,2,10,1,8,2,24,1,8,2,12,1,24,1,12,1,24,5,12,1,24,2,12,1,24,1,10,1,17,1,24,1,12,2,10,2,30,1,28,13,6,1,28,2,30,1,6,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,29,1,28,2,29,1,28,1,30,1,6,1,30,2,6,1,7,1,29,1,13,1,8,1,30,1,28,3,17,2,10,1,8,2,12,1,24,2,17,1,9,1,24,1,10,1,17,1,12,1,10,1,9,2,12,1,24,1,10,1,24,3,12,1,10,1,24,1,12,1,17,1,24,1,7,1,24,1,12,1,24,1,8,1,12,4,9,1,24,1,9,1,12,1,24,3,10,1,9,1,10,1,24,1,17,1,12,2,24,1,12,2,17,1,9,2,12,2,17,1,12,1,17,1,24,1,8,1,12,1,8,1,13,1,8,1,6,1,28,1,8,1,24,1,10,1,6,2,7,4,13,1,7,1,13,2,8,1,24,1,9,1,24,1,7,1,12,1,17,1,24,1,10,1,12,2,17,1,10,1,17,2,12,1,17,2,12,1,17,6,12,1,17,3,9,1,28,18,7,1,6,1,30,1,28,34,8,1,9,1,6,1,13,1,9,1,24,1,13,2,9,1,8,1,12,1,11,1,17,1,12,1,17,2,12,1,17,1,12,1,17,5,11,1,8,2,9,1,11,1,9,2,11,1,13,2,9,2,8,2,6,1,13,4,8,1,13,2,6,1,13,7,8,1,13,1,8,2,13,1,9,2,8,1,9,1,13,1,6,1,13,1,30,1,28,174,6,1,28,10,6,1,15,1,12,1,14,2,10,1,8,2,24,1,6,1,24,1,8,2,29,1,6,2,28,1,6,1,30,1,6,1,30,1,29,1,30,1,13,1,9,1,17,1,15,1,8,1,10,1,13,1,28,7,6,1,9,1,24,1,8,1,28,36,6,1,9,2,13,1,28,3,13,1,9,1,8,1,24,1,6,1,28,1,30,3,6,3,13,1,7,1,13,1,8,1,28,5,30,1,8,2,6,1,28,4,30,1,6,2,13,1,24,1,13,1,9,2,10,1,13,2,29,1,6,1,8,1,9,2,6,1,28,3,29,1,13,1,10,1,7,1,28,50,29,1,}, {28,11,30,1,28,1,30,1,28,1,6,1,24,1,7,1,8,1,9,2,12,1,9,2,8,1,9,6,16,1,11,1,10,1,9,1,12,1,16,1,17,5,16,2,8,2,30,3,28,3,7,1,30,1,9,1,24,1,6,1,28,5,13,2,8,1,13,1,6,2,28,10,30,1,7,1,24,1,30,1,28,39,30,1,28,2,6,1,7,1,30,1,13,1,6,2,13,1,9,1,24,1,8,1,28,2,30,1,28,1,10,1,12,1,24,1,13,3,8,2,13,1,7,1,8,1,13,1,7,1,29,1,30,1,29,1,28,1,30,1,29,1,30,1,28,1,13,1,8,1,24,1,8,1,6,2,29,1,28,2,6,1,8,1,11,1,17,1,24,2,8,1,13,2,12,1,13,1,8,2,13,3,9,2,6,1,28,1,29,1,28,1,30,1,28,1,6,1,28,35,30,1,29,1,6,2,8,1,24,1,6,1,7,1,28,1,6,1,30,2,8,1,12,1,10,2,9,3,13,1,9,1,6,1,8,1,6,1,30,1,29,1,28,2,30,2,28,1,6,2,29,1,13,1,7,1,8,1,12,2,17,2,14,2,9,1,6,1,28,14,13,1,6,1,30,2,6,1,30,1,7,1,28,1,6,1,30,2,29,1,6,1,28,2,29,1,30,1,29,1,30,1,6,2,28,1,30,1,28,1,30,1,28,2,29,1,28,1,30,1,7,1,28,2,29,1,28,3,30,1,28,1,29,1,28,1,6,1,28,1,30,3,28,1,30,1,7,1,6,1,13,2,9,1,13,2,9,3,17,1,9,1,11,2,9,1,16,3,11,1,17,1,11,1,17,3,11,2,16,1,11,1,16,1,17,2,16,2,17,1,16,4,17,1,16,1,11,1,17,2,9,1,11,2,16,3,17,1,11,1,16,5,17,1,16,2,11,1,16,1,17,2,11,2,16,1,11,1,16,1,9,1,11,2,16,1,9,2,11,1,9,1,11,1,10,1,17,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,9,1,11,1,12,1,11,1,9,1,7,1,13,3,8,1,9,1,13,1,9,1,8,2,13,1,9,2,13,1,9,1,8,1,17,1,9,1,8,1,13,1,28,1,29,1,30,1,6,2,29,2,30,1,6,1,30,1,7,1,28,1,6,1,13,1,7,1,6,1,29,1,7,1,6,1,7,1,13,2,6,1,13,1,8,1,6,1,8,1,7,1,6,1,8,1,6,1,8,1,13,1,8,1,9,1,8,1,9,2,13,1,8,1,13,1,11,1,8,2,9,1,8,1,9,1,11,1,17,1,16,1,11,2,16,1,11,1,16,1,11,1,16,2,17,1,11,1,16,4,17,1,10,1,11,1,10,1,9,2,10,1,9,1,8,1,9,4,10,1,9,1,10,1,9,1,8,1,11,1,9,1,11,1,9,1,13,2,8,1,9,3,13,1,11,1,9,1,8,1,9,1,11,1,10,2,13,1,9,3,11,1,10,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,16,1,11,1,9,3,16,2,11,2,17,1,11,1,9,1,11,2,10,2,9,1,17,1,16,1,12,1,9,2,17,1,10,1,9,1,10,1,8,1,13,3,11,1,13,1,8,2,24,1,13,2,8,2,13,2,7,1,6,1,7,1,13,1,6,1,8,1,7,1,13,3,10,1,17,4,12,2,11,1,12,2,11,1,17,1,11,1,9,1,16,1,9,1,11,1,17,1,11,1,9,1,8,2,24,1,8,1,13,1,8,1,6,2,30,1,29,1,6,1,28,2,30,1,28,7,30,1,28,2,6,1,29,1,6,1,28,1,30,1,6,1,30,1,28,10,29,1,28,1,6,1,28,9,30,1,29,1,30,3,28,1,30,1,13,1,29,1,30,1,28,1,7,1,29,1,30,1,7,2,6,1,7,2,30,1,13,1,8,1,16,1,17,2,16,1,9,1,10,1,11,1,9,3,11,1,10,1,9,3,11,1,9,1,11,2,9,1,11,2,10,1,9,1,11,1,10,1,11,2,9,1,16,1,11,1,9,3,16,1,9,1,8,1,9,1,8,1,11,2,16,3,12,1,9,1,16,1,11,1,16,1,11,1,9,1,12,1,16,1,17,1,11,6,16,1,17,1,11,1,17,1,16,2,9,1,17,3,11,1,9,1,11,1,9,3,16,1,17,1,9,1,11,1,17,3,24,1,8,1,17,1,9,2,11,1,8,1,12,1,13,1,10,1,8,1,24,1,8,1,10,1,8,2,13,1,8,1,9,1,13,1,9,1,24,1,11,1,13,3,8,1,13,1,8,1,13,2,6,2,7,1,13,1,6,1,29,2,9,1,12,1,29,1,13,1,8,1,13,3,8,1,13,1,8,1,13,2,6,1,8,3,13,2,8,1,6,1,13,2,7,1,13,2,8,2,17,2,13,1,6,1,9,1,8,1,13,1,7,1,24,1,8,4,6,1,9,1,7,1,8,1,13,1,7,1,30,1,28,2,29,2,30,1,29,1,30,1,13,2,7,1,6,1,13,1,6,3,30,2,28,2,29,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,30,1,29,1,28,4,30,1,28,1,30,1,28,1,30,1,8,1,11,1,17,1,16,1,11,1,9,1,8,1,13,1,7,1,29,1,30,1,28,7,7,1,9,4,12,1,16,1,30,2,6,1,8,2,11,1,17,3,12,1,16,1,17,1,9,1,16,1,11,1,16,1,17,1,16,2,17,2,16,2,9,4,8,2,9,1,10,1,17,1,16,1,10,1,16,1,10,1,17,1,12,1,9,1,12,2,10,3,9,1,10,1,9,1,8,2,6,1,13,1,8,1,29,1,6,1,30,3,28,38,6,1,17,2,24,2,7,1,13,1,12,1,17,2,24,1,11,1,17,2,16,3,17,1,16,1,28,2,9,1,6,1,28,6,13,1,6,1,13,2,30,1,9,1,13,3,9,1,13,3,28,1,13,1,30,2,6,1,30,1,29,1,30,6,6,4,30,3,6,1,30,1,6,1,30,1,28,2,30,4,6,3,30,1,6,3,30,1,6,1,28,2,30,1,28,1,29,1,6,2,13,1,29,1,7,2,6,3,30,1,6,1,30,2,6,1,29,1,30,2,6,1,30,1,6,1,30,1,6,2,30,2,28,1,6,1,30,3,29,1,30,1,6,2,30,1,28,2,30,1,6,1,30,4,28,1,30,7,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,1,29,1,30,3,29,1,30,1,6,1,30,2,6,1,30,1,6,1,28,1,6,1,30,1,6,1,29,2,30,2,6,2,30,4,6,1,28,1,29,1,30,2,6,1,7,1,6,1,9,1,30,1,6,1,30,2,28,1,30,1,6,1,28,1,6,1,28,1,6,1,30,1,28,1,6,2,30,5,6,1,29,1,6,1,28,1,6,1,30,1,6,2,30,3,6,2,30,3,6,2,30,1,28,1,30,1,6,1,30,5,29,1,6,1,30,2,6,2,30,5,28,1,6,1,30,1,28,2,6,2,28,1,30,2,6,1,28,1,30,1,28,1,6,1,29,1,6,1,30,5,6,1,28,1,30,4,28,1,30,2,28,1,29,1,28,1,29,1,30,1,28,1,30,6,28,1,6,2,29,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,30,2,29,1,6,2,29,1,6,1,30,1,6,2,7,1,6,2,28,1,6,1,28,1,30,3,6,1,29,1,30,2,6,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,28,1,29,1,30,1,6,1,30,1,13,1,30,1,6,1,30,4,6,1,30,3,28,1,30,1,6,1,30,2,6,1,28,1,30,1,28,1,30,1,6,2,29,1,30,1,28,2,30,1,6,1,9,1,6,1,30,1,28,2,9,1,17,7,12,1,17,2,12,1,17,3,11,1,8,1,9,1,8,1,13,1,8,1,13,1,30,1,13,1,28,1,30,1,28,2,13,1,28,4,9,1,11,1,10,2,9,1,8,1,13,1,9,1,8,2,9,1,12,1,17,2,9,1,6,1,28,21,30,1,6,2,28,22,6,2,8,1,13,1,6,1,13,1,9,1,10,1,16,1,12,1,10,1,9,1,30,1,28,27,12,1,24,1,8,2,13,1,9,1,24,1,9,1,8,1,24,1,9,1,24,1,9,1,11,1,9,1,24,1,11,1,9,1,10,1,9,1,11,1,9,5,11,1,9,2,10,1,11,1,9,1,11,2,10,2,9,3,12,1,9,1,12,1,9,1,17,1,10,1,17,1,12,2,17,1,8,1,10,1,8,2,24,1,7,1,25,1,8,1,6,1,25,1,30,1,8,1,29,1,6,2,30,1,6,1,29,1,6,1,29,1,6,1,30,1,29,1,6,2,7,1,6,1,29,2,6,2,7,1,29,1,6,1,29,1,28,1,29,1,28,2,30,1,28,1,29,1,30,1,29,1,28,2,6,1,29,2,6,1,29,1,7,1,30,1,8,1,29,2,30,2,26,1,27,1,30,2,6,1,29,1,7,1,28,1,27,1,30,1,28,1,30,2,26,1,29,1,30,1,26,1,28,1,29,4,30,3,6,1,30,1,29,2,6,1,25,1,29,2,25,1,6,1,25,1,29,1,24,1,6,1,25,1,24,1,8,1,24,1,12,1,8,1,24,1,13,1,17,1,8,1,10,1,8,1,24,1,10,1,24,3,13,1,24,7,7,1,17,1,24,1,8,1,6,1,10,1,13,1,24,1,25,1,24,3,25,1,24,1,8,1,10,1,12,1,13,1,10,2,24,1,12,1,24,1,10,1,12,3,24,1,10,1,24,1,12,2,17,1,9,1,24,1,12,2,24,1,10,1,12,1,24,1,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,1,6,1,28,1,30,2,28,7,30,1,28,2,29,1,28,2,6,1,28,1,29,1,28,1,6,1,30,1,6,2,13,1,6,1,28,2,6,1,17,1,9,1,10,1,17,1,24,2,12,1,24,1,17,1,12,2,9,1,10,2,12,1,17,1,10,1,12,1,9,1,8,1,12,1,24,1,9,1,24,1,12,1,10,3,7,1,17,1,12,1,9,1,8,1,24,2,12,1,24,2,12,1,10,1,24,1,10,1,12,1,10,1,12,1,10,1,17,2,10,2,17,1,12,2,17,3,12,1,17,2,9,1,17,1,12,2,24,1,17,1,24,1,13,1,7,1,13,1,7,1,24,1,9,1,12,1,8,1,7,2,6,1,13,1,24,1,8,1,30,1,8,1,13,1,24,1,13,2,12,2,9,1,17,1,12,2,17,3,12,2,9,1,10,1,12,1,17,4,12,1,17,8,9,1,28,17,6,1,7,1,6,1,28,34,6,1,8,1,13,1,8,1,13,1,24,1,13,1,8,2,9,1,11,1,12,2,11,1,12,1,17,5,12,1,11,1,17,4,9,1,8,1,9,1,11,1,9,2,10,1,8,1,13,2,8,1,13,6,9,1,13,4,6,2,13,4,6,1,8,1,9,1,13,2,8,1,13,1,9,1,8,1,9,1,13,1,6,3,28,155,29,1,28,12,30,2,28,15,29,1,15,1,14,1,15,1,14,1,9,1,8,2,7,1,6,1,8,2,6,2,13,1,6,3,29,1,6,1,30,1,6,2,7,1,9,1,10,1,15,1,9,1,15,1,13,1,28,7,13,1,15,1,8,1,13,1,30,1,28,35,10,1,9,1,24,1,6,1,28,1,30,1,28,1,9,2,8,1,6,1,28,3,30,1,28,1,30,1,7,1,6,1,13,4,28,5,29,1,24,1,9,1,30,1,28,4,30,1,29,1,7,1,24,1,8,1,24,1,10,2,13,2,6,2,29,1,9,3,13,1,28,3,30,1,8,2,6,1,28,50,13,1,}, {29,1,28,1,30,1,28,4,30,1,29,1,30,1,28,1,30,1,29,1,30,1,13,1,6,1,30,1,8,1,13,3,8,1,9,1,10,1,9,1,8,1,9,1,8,1,10,1,11,2,9,2,12,1,11,2,16,1,17,4,16,1,17,1,16,1,11,1,8,1,6,2,28,1,30,1,28,1,30,1,13,1,8,1,12,1,10,1,6,1,28,5,6,1,13,1,24,1,8,1,13,1,29,1,28,1,29,1,28,7,30,1,29,1,13,1,8,1,6,1,28,42,29,1,6,1,30,1,13,1,7,1,6,1,13,1,24,1,12,1,6,1,28,2,6,2,9,1,17,1,9,1,13,2,8,1,6,1,8,1,7,1,9,2,24,1,6,1,30,1,28,1,30,1,28,3,30,1,6,1,8,2,17,1,13,1,6,1,28,2,30,2,29,1,9,4,13,1,24,1,6,1,24,1,13,1,8,1,24,1,13,1,8,1,24,1,6,1,15,1,24,1,13,1,29,1,28,2,29,1,6,2,28,35,7,1,28,1,6,1,30,1,24,1,9,1,8,1,28,5,13,1,9,1,12,1,24,1,9,1,8,2,9,2,7,1,6,2,29,1,6,1,29,1,6,1,30,1,7,1,29,1,30,1,8,1,29,1,8,1,6,1,24,1,10,1,17,1,12,1,14,3,11,1,6,1,28,9,29,1,28,4,13,1,6,1,8,1,6,1,13,1,30,1,6,1,30,1,28,1,30,1,29,1,30,1,29,1,30,1,28,1,30,1,13,1,6,1,28,2,29,1,28,1,30,2,28,3,6,1,28,1,30,1,28,1,30,1,7,1,30,1,6,3,30,1,6,1,13,3,9,2,13,1,9,1,10,1,13,1,10,1,11,1,9,2,11,1,9,1,11,1,9,1,16,1,9,1,8,1,11,1,16,1,11,1,17,1,11,2,16,1,17,2,16,1,17,1,11,1,17,1,11,1,17,2,16,3,9,1,11,1,10,1,16,1,11,2,16,1,9,1,11,1,16,1,17,2,11,2,17,1,9,1,17,3,11,1,17,6,11,1,16,2,17,2,11,2,16,1,17,1,11,1,17,2,11,3,16,2,11,2,10,1,11,1,16,1,9,1,16,2,9,1,11,2,17,1,9,1,11,2,16,1,17,1,11,1,9,3,13,2,6,1,13,2,8,1,9,1,13,2,8,2,9,3,13,2,9,1,11,1,16,1,6,2,28,1,30,1,6,3,30,1,28,1,13,1,28,1,6,3,13,1,30,1,6,1,7,2,6,1,13,1,6,1,8,1,13,1,8,1,6,1,13,1,6,1,8,1,13,2,6,1,9,1,8,3,9,1,8,1,9,1,11,1,13,1,8,1,9,1,8,1,9,2,8,1,17,2,16,4,17,1,11,1,16,1,17,1,16,1,11,1,16,3,11,2,9,2,10,1,9,1,11,1,16,1,13,1,11,1,8,1,9,4,11,1,9,3,13,1,11,1,13,1,9,2,8,1,10,1,9,4,11,1,8,1,11,1,8,1,9,3,11,1,9,2,11,1,10,1,16,1,10,1,11,1,9,1,11,1,8,1,9,2,11,1,16,2,9,2,11,1,9,1,16,2,17,1,9,1,11,2,16,1,9,2,10,2,9,1,11,1,17,1,12,1,17,1,9,6,8,1,9,1,6,1,24,1,13,2,7,1,13,2,24,1,29,1,8,2,6,1,7,3,13,1,7,1,13,1,7,1,8,3,12,1,17,4,11,1,17,3,16,1,17,1,9,1,17,1,16,1,17,1,9,1,11,1,9,1,17,1,9,3,24,1,9,1,6,1,13,1,7,1,30,1,8,1,6,2,28,1,30,1,28,12,30,1,28,2,29,1,28,1,29,1,28,3,30,1,28,3,30,1,28,4,30,1,28,10,29,1,28,1,30,1,29,1,30,1,28,1,13,1,6,1,29,1,30,1,6,3,29,1,6,1,28,1,29,1,7,2,13,2,17,1,16,2,17,1,16,1,11,1,10,1,11,2,9,1,11,1,9,2,11,1,9,1,13,1,9,1,10,1,11,1,9,7,11,1,16,1,10,1,9,1,11,1,16,1,11,2,10,1,8,1,9,3,16,2,10,1,9,1,16,1,12,2,16,1,11,1,12,1,17,2,11,1,16,1,11,1,10,1,16,1,11,1,9,1,17,1,9,1,17,1,16,1,17,1,11,1,17,1,10,1,11,1,10,1,16,1,11,1,9,1,16,1,11,1,16,1,9,1,16,1,11,1,8,1,11,1,9,1,6,1,8,1,9,2,8,1,9,1,24,1,8,1,9,1,24,1,13,1,8,1,9,1,8,1,10,1,13,1,11,1,13,1,9,2,7,1,9,1,8,1,6,1,13,1,8,1,13,1,8,1,6,1,7,1,24,1,6,2,13,1,6,2,30,1,29,1,30,1,29,1,6,1,9,1,12,1,13,1,6,1,8,1,13,1,8,1,13,3,9,1,8,1,13,1,9,1,7,1,13,3,8,1,9,1,6,1,13,1,9,2,13,1,11,1,9,1,11,2,10,1,8,1,13,1,7,1,6,1,24,1,8,1,7,1,13,1,6,1,29,1,6,1,7,1,13,1,7,1,13,2,8,1,29,1,28,2,29,1,28,1,6,2,13,1,29,1,6,1,30,1,7,1,6,3,7,1,6,2,30,1,29,1,28,1,29,1,6,2,28,2,29,1,28,7,30,1,28,3,30,1,29,1,11,1,12,1,10,1,11,1,9,1,13,1,8,1,6,1,30,2,28,7,30,1,13,1,8,1,16,1,17,1,12,1,11,1,29,1,30,1,28,1,30,1,13,1,12,1,17,3,11,1,16,1,17,1,11,1,17,1,11,1,9,1,17,1,11,1,17,4,11,1,10,2,9,2,8,2,9,1,8,1,17,1,10,1,9,1,16,1,9,1,17,2,10,3,11,2,24,1,8,1,24,1,13,2,29,1,28,46,24,1,17,1,12,1,13,1,24,2,25,1,7,1,8,1,17,1,8,1,12,1,14,2,16,5,28,2,13,2,28,4,30,3,13,2,9,1,30,1,13,2,9,5,13,1,28,1,6,1,30,2,6,2,30,2,6,2,30,1,6,1,30,1,6,4,30,3,6,3,30,1,29,1,30,2,6,1,30,1,7,1,13,1,30,1,6,2,30,3,6,2,30,2,6,3,30,1,6,1,13,1,6,3,29,1,6,2,30,2,6,1,30,3,29,2,6,1,30,2,6,1,30,1,28,1,30,1,29,1,6,1,30,4,6,1,30,2,28,1,30,6,28,4,30,5,6,1,30,2,28,1,30,1,28,1,30,4,29,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,2,30,1,6,1,28,1,29,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,1,13,2,9,1,29,1,28,1,6,1,30,3,6,1,30,2,28,1,30,1,6,1,30,4,6,1,30,1,29,1,30,2,6,2,30,1,6,1,30,1,6,1,29,2,30,1,6,2,30,3,6,1,30,4,6,1,30,1,6,2,30,1,6,1,30,1,6,1,28,1,30,1,28,1,29,1,28,1,30,4,6,1,30,3,29,1,30,2,28,1,6,1,28,1,30,1,6,1,30,1,28,1,6,2,30,3,28,2,30,2,28,1,30,1,6,1,30,5,29,1,30,2,28,1,30,2,28,1,30,1,29,1,28,1,30,1,28,1,6,1,28,1,6,1,30,4,6,1,30,1,7,1,6,1,30,4,6,2,30,2,29,1,30,1,6,1,30,2,6,1,29,1,6,2,30,2,28,1,29,1,30,5,6,2,30,3,29,1,28,1,6,1,13,1,30,2,6,1,30,1,6,1,30,4,6,1,29,1,6,1,30,5,28,2,30,2,28,1,30,1,28,1,30,4,28,1,6,1,30,2,28,1,30,1,6,1,13,2,6,1,30,3,17,3,9,1,11,1,17,3,12,2,17,1,12,2,11,1,24,1,6,1,30,1,7,2,13,3,28,2,30,2,28,2,6,1,28,4,9,2,10,2,9,1,8,1,13,2,28,1,29,1,13,1,8,1,12,2,10,1,30,2,28,18,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,18,8,2,16,1,12,1,8,2,9,2,11,1,16,1,11,1,9,2,30,1,28,27,13,1,9,1,13,1,8,1,9,1,8,1,24,1,13,1,9,4,10,1,9,1,24,1,10,1,11,1,9,1,10,1,17,1,8,1,11,1,10,1,9,1,10,2,12,1,9,1,8,1,9,2,10,2,9,1,16,1,9,2,10,1,24,1,17,1,24,1,10,1,12,3,10,3,12,2,10,2,12,1,24,1,6,1,24,2,6,1,24,1,8,1,6,1,28,1,29,1,6,1,29,1,6,1,30,1,29,2,28,1,29,1,6,1,29,1,30,1,7,1,8,1,30,1,6,1,7,4,13,1,29,2,30,1,29,1,28,3,6,1,28,2,6,1,28,1,27,1,30,1,6,1,29,1,6,1,30,1,29,1,8,1,29,1,25,2,26,1,27,1,25,1,28,1,6,1,29,1,6,1,29,1,6,1,7,1,29,1,26,1,6,1,28,1,29,1,28,1,30,1,26,1,8,1,30,1,29,1,27,1,6,1,8,1,6,1,30,1,6,3,29,2,7,1,30,1,6,1,29,1,27,2,30,1,8,1,29,1,25,1,8,1,24,1,8,1,10,1,24,3,8,1,10,1,24,2,8,2,10,1,8,1,24,3,12,1,24,1,8,1,24,1,12,1,8,2,24,1,25,1,8,1,24,2,12,1,7,1,24,1,25,1,10,1,8,1,24,1,8,1,24,2,12,1,24,2,10,1,24,2,12,7,9,1,24,1,8,1,10,1,24,1,9,1,12,4,17,1,10,1,29,1,28,13,30,1,28,3,30,1,28,5,30,1,29,1,28,9,29,2,30,1,28,1,6,2,7,1,13,2,29,1,13,1,17,1,10,1,17,1,9,1,12,1,24,1,8,1,12,2,24,1,12,1,9,2,10,1,12,1,10,1,17,1,24,1,9,1,7,1,8,1,10,2,9,1,24,1,12,1,9,1,12,2,13,1,8,1,24,3,12,1,8,1,10,1,17,1,10,1,12,1,24,1,10,1,12,1,9,1,10,1,9,1,12,1,24,1,9,1,12,1,10,1,12,1,17,1,9,1,12,1,17,1,12,1,10,1,17,1,12,1,24,1,12,1,10,1,24,1,8,1,24,1,13,2,29,1,8,2,10,1,13,2,6,1,8,4,24,1,13,1,8,3,24,1,12,1,10,2,12,2,9,1,17,2,12,1,17,3,12,1,17,1,12,2,17,12,10,1,28,16,13,1,29,1,6,1,28,34,6,1,13,1,9,1,13,1,8,2,24,1,8,1,13,1,8,1,9,2,12,1,17,1,12,1,17,1,12,5,17,3,12,1,17,2,8,1,9,1,11,1,9,1,11,1,8,1,9,4,8,1,13,3,6,1,13,1,9,1,13,3,9,1,8,1,13,2,6,1,13,7,9,1,8,1,9,3,13,5,30,1,28,169,7,1,28,3,13,1,28,2,30,1,28,7,29,1,12,1,15,1,9,1,12,1,8,1,24,1,7,1,29,1,6,1,28,1,6,10,29,2,13,1,8,1,15,2,10,1,15,1,13,1,28,7,13,1,15,1,8,1,13,1,6,1,28,35,6,1,9,1,8,1,29,1,28,1,29,2,11,1,8,1,10,1,8,1,29,1,28,2,30,1,28,1,6,2,13,1,8,1,7,2,6,1,28,6,10,1,9,1,30,1,28,4,30,1,13,1,8,1,24,3,13,1,9,1,24,1,7,1,6,1,30,1,8,1,24,1,10,1,9,1,6,1,28,4,13,1,6,1,30,1,28,49,29,1,13,1,}, {29,1,6,1,30,1,13,1,28,1,29,1,6,1,28,2,30,1,28,1,30,1,29,2,28,1,6,1,28,1,6,2,29,1,7,1,30,1,9,1,8,1,13,1,8,1,9,2,11,1,9,1,11,1,16,1,11,1,9,1,12,1,11,1,17,5,16,1,17,2,10,1,8,2,6,1,28,5,8,1,10,1,15,1,6,1,29,1,28,4,30,1,8,2,24,1,7,1,6,2,28,7,29,1,28,1,6,1,7,1,13,1,6,1,28,34,30,1,28,9,30,1,13,1,29,2,13,1,7,1,17,1,6,1,29,1,28,1,6,2,8,1,12,1,9,1,6,1,8,1,13,1,29,1,24,1,8,3,6,2,29,1,28,2,30,2,28,2,6,2,13,1,12,1,13,1,30,1,6,1,30,1,28,2,13,1,24,1,11,1,24,2,13,1,8,1,29,1,8,1,6,1,8,1,13,1,24,1,7,2,13,1,12,1,15,1,29,1,28,3,6,2,29,1,28,34,30,1,29,1,28,1,29,1,7,1,13,2,8,1,28,2,30,1,28,1,30,1,13,1,15,1,11,1,9,1,8,1,9,1,8,2,7,1,8,1,6,1,13,1,29,1,13,1,7,1,29,1,13,2,30,2,7,2,6,1,13,1,8,1,12,3,15,1,17,1,14,1,15,1,6,1,28,9,30,1,29,1,28,2,30,1,29,1,8,1,11,1,13,2,7,1,6,1,28,2,30,5,6,2,29,1,30,1,29,1,30,3,28,1,30,1,6,1,28,2,29,1,28,1,6,2,13,3,8,1,13,1,8,1,9,1,10,1,8,1,17,1,9,1,11,2,10,1,9,1,11,2,9,1,10,1,11,2,16,1,9,1,11,1,9,2,11,1,16,8,11,1,16,1,17,2,16,1,17,3,16,1,17,1,16,1,11,1,16,7,11,1,16,1,9,1,16,1,10,1,11,1,9,1,16,1,9,1,16,3,10,1,17,1,16,2,17,1,16,1,11,1,17,3,11,3,16,1,11,1,16,3,11,2,16,1,11,2,9,1,11,1,9,2,11,3,8,1,11,2,17,1,16,1,17,1,16,3,9,1,11,1,10,1,11,1,9,2,8,1,13,1,6,1,13,2,9,2,13,1,8,1,13,1,9,2,13,1,8,1,9,1,17,1,12,1,16,1,13,1,28,1,13,1,7,1,6,2,29,1,6,3,8,1,30,1,7,1,13,1,29,1,13,3,28,1,13,1,7,1,13,2,30,1,6,1,13,3,7,1,13,1,9,2,8,2,13,1,8,1,9,1,13,1,8,1,9,2,13,1,9,1,7,1,13,1,9,3,17,2,9,1,16,2,11,1,16,1,11,1,16,3,11,1,16,1,11,1,10,1,9,2,10,1,11,2,10,1,11,1,9,2,8,1,11,1,9,2,13,1,9,5,10,1,9,2,13,1,9,1,7,1,13,2,9,1,10,1,9,2,10,1,11,2,9,4,10,1,11,1,9,3,10,1,9,1,11,1,16,2,11,1,16,1,11,1,16,1,10,1,11,1,9,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,3,9,1,10,1,9,1,11,1,17,1,9,1,8,1,17,1,8,1,11,1,9,1,13,1,8,1,24,1,7,1,13,1,29,1,13,1,6,1,13,2,7,4,13,1,6,1,13,1,7,2,6,3,13,2,24,1,8,1,12,1,17,5,12,1,16,1,12,1,11,2,17,1,16,1,11,1,17,1,16,2,17,1,9,2,8,3,9,1,13,1,8,1,7,1,13,1,6,1,28,1,30,1,28,1,6,1,28,2,30,1,28,8,30,1,28,2,29,1,13,1,30,1,28,1,6,1,30,2,6,1,28,3,6,1,30,1,28,4,30,1,28,8,30,1,6,1,30,1,29,1,28,3,30,1,28,1,30,1,29,1,28,1,6,1,13,1,29,2,6,1,30,1,13,1,7,2,13,1,9,1,12,1,17,4,11,2,16,1,9,1,11,2,9,1,11,1,10,1,9,3,10,1,11,1,10,1,11,3,10,3,11,3,9,1,11,2,9,3,13,1,8,1,16,3,11,1,17,1,16,1,11,1,17,1,11,2,10,1,17,1,12,1,11,1,9,2,11,1,17,2,16,2,17,2,16,1,17,1,11,1,17,1,16,2,10,1,16,1,9,1,11,2,9,1,17,1,11,1,9,1,12,1,9,1,8,1,9,2,8,4,7,1,9,1,8,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,24,1,8,4,24,1,13,1,24,1,8,1,29,1,13,2,24,1,13,2,7,1,30,1,6,1,28,1,30,1,29,1,30,2,28,1,13,1,30,1,17,1,8,1,7,1,9,1,8,1,13,1,8,2,13,3,9,1,13,1,28,1,13,1,9,1,13,1,7,1,13,1,6,1,13,2,8,2,13,1,10,1,8,1,7,1,9,1,24,1,6,1,8,1,13,1,7,1,8,1,24,1,7,1,13,1,7,1,13,1,24,2,9,1,7,1,6,1,8,1,6,1,7,1,6,1,28,1,29,1,28,1,7,3,6,1,13,1,30,1,8,1,7,2,6,2,30,1,29,1,30,1,28,1,29,1,6,1,30,1,28,14,30,1,28,1,29,1,9,1,17,1,12,1,11,1,10,1,13,2,7,1,30,1,28,8,30,1,13,1,11,1,16,3,17,1,13,1,28,1,30,1,28,1,29,1,11,1,17,3,12,1,9,1,11,1,16,1,11,1,16,5,17,1,11,1,16,1,11,1,9,1,8,1,11,1,8,2,9,2,11,2,10,1,9,1,12,1,11,1,16,1,12,1,16,1,17,1,11,1,9,1,8,2,7,1,6,1,28,13,30,1,28,34,7,1,10,1,9,1,24,1,8,1,27,1,24,1,8,1,24,1,17,1,12,2,9,1,17,2,16,5,30,1,28,1,13,2,28,5,30,1,6,2,13,1,9,1,13,1,9,1,13,2,9,1,13,1,9,1,13,2,28,1,6,1,30,1,7,1,30,4,6,2,30,1,6,1,30,1,6,4,30,1,6,3,30,5,6,3,29,1,10,1,6,2,30,1,6,4,29,1,30,1,6,2,7,1,6,3,13,1,30,1,7,1,6,1,30,1,7,1,30,2,6,1,30,1,6,1,30,1,29,1,30,2,29,1,30,2,6,2,29,1,30,1,29,1,6,1,28,1,6,1,30,1,6,1,29,1,30,1,6,1,13,1,6,1,30,4,29,1,30,9,29,1,30,3,6,1,30,1,28,1,29,1,30,2,6,3,30,1,6,1,30,1,29,1,6,1,28,1,6,2,29,1,30,2,6,1,30,1,6,1,28,1,6,1,30,5,6,1,30,1,6,1,30,3,29,1,13,3,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,28,1,30,1,6,1,30,1,29,2,30,1,6,1,30,1,6,1,30,1,6,1,30,3,28,1,6,2,30,1,28,1,30,2,6,3,29,1,30,2,6,1,30,3,29,1,30,4,6,3,30,1,28,1,6,1,30,7,6,1,30,2,28,2,30,3,6,3,28,1,30,1,6,1,30,3,29,1,30,2,29,1,28,3,30,1,6,2,30,1,28,1,30,5,28,2,6,1,30,1,28,1,30,1,28,1,6,2,30,1,6,1,28,1,30,1,6,1,28,1,30,7,6,2,30,4,29,1,30,2,29,1,6,1,30,1,6,1,30,4,29,1,30,2,29,1,30,3,28,1,6,1,30,2,6,1,29,1,6,1,30,1,6,2,30,3,6,1,30,1,6,1,30,1,28,1,30,1,6,1,28,2,6,1,30,2,28,2,6,1,13,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,6,1,30,4,6,1,13,1,6,1,30,2,28,1,9,1,17,1,9,1,17,1,12,1,17,6,9,1,17,2,11,1,28,8,6,1,28,1,30,1,28,3,6,1,28,4,9,1,10,2,9,1,10,1,13,1,6,1,30,1,28,4,13,1,10,1,24,1,13,1,30,1,28,20,30,1,28,3,30,2,28,16,29,1,8,1,11,1,17,3,9,2,10,1,11,2,16,1,9,1,12,1,8,1,28,29,9,1,8,1,13,1,9,3,8,1,9,2,8,1,17,1,24,1,12,1,9,2,12,1,9,2,10,1,11,2,10,1,9,3,10,1,9,1,11,1,9,2,11,1,9,4,12,1,8,1,24,1,10,1,9,1,10,1,12,1,8,1,9,2,10,2,12,2,10,1,9,1,8,1,24,2,25,1,8,1,25,1,8,1,25,3,6,1,29,1,27,1,25,1,30,1,28,1,30,1,7,1,28,1,29,1,7,1,28,1,29,1,7,1,6,1,7,1,28,1,7,1,6,1,30,2,6,2,28,2,30,1,28,5,29,1,28,1,29,2,30,1,29,1,6,1,29,1,30,1,25,1,28,1,26,1,27,2,25,1,29,1,26,1,7,1,26,1,29,1,27,1,29,1,28,1,25,1,28,1,6,1,29,2,6,1,28,1,30,1,6,1,27,1,6,1,28,1,27,1,29,2,6,4,25,1,30,1,28,1,27,1,25,2,29,1,27,1,25,3,8,1,24,1,8,1,24,1,8,1,12,2,10,1,8,1,12,1,10,1,8,2,10,1,25,1,8,1,10,1,8,1,25,1,24,1,8,1,25,1,10,1,12,2,24,1,8,1,24,1,8,1,24,2,10,1,8,1,24,1,8,1,24,1,8,2,12,1,8,1,10,1,17,1,24,1,10,2,24,1,12,1,24,1,12,3,10,1,8,1,24,1,10,3,12,1,24,2,10,1,24,1,10,1,12,2,10,1,29,1,28,18,29,1,28,14,30,1,29,1,28,1,29,3,6,1,8,1,24,2,13,1,12,1,17,2,8,2,17,1,10,1,17,1,12,1,13,1,10,1,11,1,10,3,24,2,10,1,9,1,10,1,17,1,24,1,12,1,24,1,12,1,24,2,12,1,10,1,24,1,7,1,24,1,8,1,6,1,12,1,24,2,12,1,10,1,24,1,17,1,9,1,24,1,12,5,24,1,9,2,10,1,12,1,17,2,12,1,9,1,12,1,10,1,24,1,17,1,12,1,9,1,12,1,9,1,24,1,8,1,24,1,13,1,9,1,10,1,24,2,6,2,29,1,13,1,24,1,8,1,24,1,8,1,10,1,24,1,9,1,24,1,8,1,17,1,12,1,24,2,12,1,10,1,17,1,10,1,17,1,10,1,17,2,12,2,17,1,12,1,17,12,9,1,28,16,13,2,28,11,30,1,28,22,6,1,8,3,13,1,24,1,8,1,13,1,8,1,9,1,8,1,10,1,11,1,17,1,12,2,11,1,17,1,10,1,12,1,17,1,12,2,17,4,10,1,9,4,11,1,13,5,9,1,13,2,9,1,8,1,13,8,6,2,13,2,7,1,13,2,9,1,13,2,9,1,10,1,8,2,9,1,13,3,6,1,30,1,28,169,6,1,28,3,30,1,28,10,7,1,14,2,11,1,9,3,7,1,6,1,29,2,30,2,7,1,28,1,6,1,28,1,6,1,29,1,13,3,6,1,8,1,13,1,12,1,15,1,9,1,12,1,6,1,28,7,6,1,12,1,24,1,8,1,28,36,29,1,9,2,6,1,29,1,6,1,29,1,12,1,9,1,15,1,6,1,30,2,28,1,29,1,6,2,13,1,8,1,24,3,29,1,28,5,30,1,9,1,10,1,7,1,28,4,30,1,7,1,8,3,12,1,15,1,8,1,9,1,7,1,6,2,29,1,9,1,10,2,13,1,28,3,29,1,13,1,7,1,28,51,9,1,}, {28,1,30,1,28,1,30,1,7,1,29,1,6,1,30,1,28,2,30,2,28,2,30,1,6,1,30,1,28,1,29,1,28,1,29,1,6,2,13,1,8,1,9,2,13,1,11,1,9,1,11,2,9,2,11,1,12,1,17,1,9,1,17,6,9,1,13,1,6,1,7,1,28,4,8,1,24,1,13,1,9,1,8,1,28,5,30,1,8,1,24,2,8,1,6,1,28,1,30,2,28,5,30,1,28,2,8,2,7,1,28,43,30,2,28,1,30,2,8,1,13,1,9,1,6,1,28,3,6,1,7,1,11,1,13,1,8,2,13,2,9,1,13,1,29,1,13,2,30,1,28,1,30,1,28,2,30,1,29,1,30,2,8,2,12,1,9,1,6,1,28,1,29,1,28,2,29,1,11,1,12,1,10,1,13,2,8,1,7,2,8,4,9,1,8,2,9,1,15,1,13,1,28,1,6,1,28,2,30,1,29,1,28,4,30,1,28,28,30,2,28,1,30,1,28,1,6,1,13,1,9,1,8,1,29,1,28,1,30,3,8,1,17,1,9,1,11,1,12,1,13,2,8,1,13,4,29,2,6,1,13,1,6,1,8,1,29,1,7,3,13,1,6,1,8,1,9,1,10,1,9,1,17,1,12,1,17,2,29,1,28,10,29,1,28,3,6,1,13,1,9,1,13,1,11,1,13,1,6,1,28,1,30,4,29,1,6,1,29,1,30,1,28,1,30,2,7,1,28,1,13,1,6,1,7,1,9,1,13,2,6,1,13,1,7,1,9,1,13,1,12,1,8,1,9,3,11,1,9,3,11,1,9,2,16,1,9,1,16,1,11,1,9,1,11,3,16,1,11,1,9,2,17,1,11,4,17,5,16,1,17,2,16,2,17,2,9,1,17,1,11,1,16,4,10,1,11,2,16,1,9,1,11,3,16,1,9,1,16,1,11,2,16,1,11,1,9,1,11,1,17,1,11,1,17,2,16,1,11,2,16,1,11,1,16,2,11,2,17,1,16,1,11,2,16,1,17,1,16,1,9,3,16,1,9,1,16,2,9,1,16,1,9,1,16,1,11,1,17,1,9,1,10,1,11,1,17,1,16,1,11,1,10,1,17,1,11,2,17,1,13,1,30,1,13,2,8,1,13,2,9,1,13,1,10,1,13,1,8,1,9,1,8,1,11,1,9,1,11,1,9,2,11,1,7,1,28,2,6,2,13,2,29,1,28,1,30,1,13,1,6,2,30,1,13,1,30,1,6,1,30,1,6,1,7,1,6,1,13,1,6,3,13,1,6,1,7,1,13,2,7,1,9,1,11,1,13,1,6,1,9,2,13,1,9,2,11,1,9,1,13,2,8,1,9,1,17,3,11,1,16,2,11,2,16,2,17,1,9,1,11,1,16,1,9,1,11,1,9,4,11,1,9,3,13,1,9,5,13,1,9,3,8,1,9,1,11,1,9,1,8,1,9,1,8,2,9,2,8,1,11,2,9,1,10,1,11,1,9,1,13,1,11,1,9,3,8,1,11,1,9,2,11,3,16,1,9,2,16,1,11,1,9,1,16,1,11,1,10,1,11,2,17,1,11,1,9,1,16,1,10,1,11,1,9,1,8,1,9,1,8,1,9,1,17,2,10,1,13,1,10,1,9,1,11,1,8,2,13,1,24,1,7,1,13,2,8,1,13,1,6,1,8,1,13,2,6,1,29,1,13,1,30,1,8,1,28,1,13,1,30,1,7,1,30,1,6,2,30,1,13,1,9,1,17,5,12,1,11,1,16,1,12,1,10,1,12,1,17,2,16,1,11,1,17,1,9,1,16,1,8,1,11,1,9,1,8,1,13,1,9,1,6,2,13,1,30,1,6,1,29,1,30,1,28,2,29,1,28,1,30,1,28,6,30,1,28,1,29,1,28,2,30,1,29,1,28,1,6,1,28,2,30,1,28,1,30,1,28,2,6,1,28,1,29,1,30,1,28,10,30,1,28,2,6,1,29,1,28,1,30,1,28,1,30,2,29,1,28,1,30,2,28,1,6,1,29,1,28,1,7,1,29,1,6,1,13,1,9,1,12,1,17,4,16,1,11,1,9,2,11,1,10,1,9,3,11,1,9,2,10,1,9,1,11,1,10,1,11,1,10,1,16,3,9,1,11,2,9,1,11,1,9,1,11,1,8,1,9,3,16,1,11,1,16,3,10,1,11,1,16,1,10,1,16,2,9,1,16,1,9,1,17,1,8,1,17,2,16,1,11,1,16,1,9,1,17,1,16,1,11,1,17,2,11,3,9,1,11,1,9,1,12,1,9,1,8,1,11,1,12,1,8,1,9,1,8,1,9,1,8,1,9,2,13,2,9,1,24,1,13,2,8,1,24,1,9,1,13,1,9,1,8,1,24,1,8,1,13,1,7,1,8,1,13,2,6,1,13,1,7,2,9,1,6,4,29,1,6,1,30,2,28,2,30,1,6,1,28,1,13,1,17,1,7,1,13,1,8,1,13,1,8,1,13,2,8,3,13,1,8,1,9,1,7,1,8,1,13,1,7,1,8,1,13,1,10,1,8,2,9,1,13,2,12,1,8,3,7,1,6,2,29,1,30,1,7,1,13,1,6,1,7,1,13,1,29,1,6,1,7,1,13,2,7,1,8,1,13,1,8,1,6,1,28,2,29,2,6,1,13,2,6,2,13,1,6,4,29,1,6,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,12,13,1,17,2,10,1,9,1,8,1,7,1,6,1,30,1,28,9,6,1,8,1,12,2,16,1,17,1,8,1,28,1,30,1,28,2,13,1,17,2,12,2,8,1,16,3,10,1,16,1,11,1,16,3,17,1,16,1,17,1,16,1,10,2,9,1,8,1,13,1,8,1,10,1,11,1,9,4,12,1,11,1,9,3,8,1,13,1,30,1,28,11,30,1,28,2,30,2,28,34,6,1,10,2,25,1,24,1,25,3,26,1,14,1,12,1,24,1,16,1,17,2,16,4,17,1,28,2,13,2,30,1,28,5,13,6,9,2,13,3,9,2,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,4,30,2,6,2,30,1,6,1,29,1,30,2,6,1,7,1,29,1,30,1,6,1,30,1,6,3,30,1,6,1,30,2,6,1,28,1,30,2,6,3,29,1,6,3,30,1,13,1,6,4,30,2,28,1,30,3,6,1,30,4,29,1,30,2,6,3,30,4,29,1,30,2,29,1,6,1,28,1,30,2,29,1,6,1,30,1,6,1,30,3,6,4,29,4,30,1,6,1,29,2,30,2,29,1,6,2,28,2,6,1,28,1,30,1,28,1,6,1,30,4,6,1,30,2,28,1,30,2,6,2,30,3,6,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,11,1,29,1,28,1,30,1,28,1,6,1,30,1,6,2,29,1,30,3,28,2,30,9,6,2,30,1,6,1,30,1,29,1,30,4,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,7,6,1,28,1,6,2,30,1,6,1,28,1,30,1,28,1,30,4,28,1,6,1,28,3,30,2,6,1,30,2,28,1,30,1,6,1,30,2,29,1,30,1,6,1,30,1,28,1,30,1,29,1,28,2,30,2,6,1,29,1,6,1,30,8,28,1,30,3,6,1,29,1,30,3,6,1,30,2,6,1,30,7,13,1,30,2,28,1,30,3,29,1,6,2,28,1,6,3,30,6,28,1,6,1,30,1,29,1,6,1,29,1,30,1,6,2,30,1,29,1,6,2,30,1,29,1,6,1,30,2,6,1,30,2,6,1,30,3,29,1,30,3,6,1,29,1,30,2,6,1,30,1,28,2,30,6,28,1,29,1,30,1,6,1,13,2,6,1,29,1,30,1,11,1,9,1,11,1,17,1,12,3,10,1,17,3,12,1,17,1,11,2,28,2,6,1,28,5,6,1,28,1,6,1,28,3,30,1,28,4,13,1,11,1,12,1,13,1,11,1,13,1,9,1,30,1,28,2,30,1,9,1,11,1,24,1,6,3,28,21,30,1,6,1,28,2,30,2,28,14,29,1,10,1,8,1,12,1,17,1,16,1,11,5,12,1,11,1,10,2,11,1,6,1,28,28,13,1,12,1,8,2,9,7,10,1,9,1,10,1,9,1,10,1,12,1,9,2,10,1,9,2,12,1,11,1,9,1,10,2,11,1,10,2,12,1,11,1,10,1,9,1,10,1,12,1,10,1,9,2,10,1,9,1,10,1,24,1,9,1,10,1,8,1,24,2,12,1,24,1,10,1,13,1,24,2,8,2,25,1,8,2,29,1,8,1,6,1,30,1,25,1,6,2,7,1,30,1,7,1,30,1,29,2,13,1,6,3,7,1,29,1,30,1,29,2,25,1,6,1,8,1,30,2,29,1,28,1,30,1,29,1,30,1,28,2,29,1,28,1,30,1,28,2,30,1,26,1,30,1,6,2,8,1,27,2,28,1,27,1,28,1,30,1,25,1,6,1,29,1,27,1,28,1,27,1,29,1,27,1,28,1,30,1,27,1,28,1,30,1,25,1,29,2,28,1,30,1,29,1,26,1,29,1,6,2,28,1,7,1,6,3,29,1,6,1,29,1,25,3,8,1,25,1,24,1,8,2,24,1,8,1,9,1,24,1,12,1,9,1,24,3,8,3,12,1,10,1,24,4,13,1,10,1,24,2,25,1,10,1,8,1,12,1,8,1,13,2,24,2,8,1,12,1,7,1,24,3,12,1,10,2,24,2,10,1,24,1,10,1,24,1,10,2,12,1,17,1,24,1,12,1,24,5,17,1,10,1,24,1,12,2,6,1,28,27,30,1,28,1,30,1,28,5,30,3,29,1,6,1,8,1,24,1,9,1,12,1,17,1,12,3,17,1,10,1,9,1,10,1,12,1,24,1,12,1,24,1,10,1,24,1,12,1,24,1,10,1,17,1,12,1,10,1,24,1,12,1,10,1,12,1,10,2,8,1,24,1,7,1,12,1,9,1,24,2,8,3,12,1,10,2,9,2,24,1,12,1,17,1,12,1,24,1,12,2,17,1,12,1,17,1,12,1,10,1,9,1,12,2,8,1,12,1,10,1,17,1,9,1,17,1,9,1,11,1,12,1,9,1,12,2,24,1,12,1,10,1,9,1,29,1,30,2,13,2,8,1,24,1,10,1,13,1,7,1,9,2,8,1,24,1,12,1,24,1,10,1,24,1,12,2,17,3,12,1,17,1,12,1,11,1,12,1,17,4,11,1,17,9,11,1,28,15,30,1,6,1,30,1,28,10,30,2,28,21,6,1,13,1,8,1,24,1,9,1,13,1,9,1,13,1,7,1,8,1,9,1,13,1,10,2,12,5,17,2,12,2,17,4,12,1,17,1,10,1,9,1,13,2,9,3,8,1,13,1,8,1,13,1,9,1,6,1,29,1,13,3,6,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,13,6,6,1,8,1,9,1,8,1,13,3,8,1,13,1,6,1,13,1,30,1,28,19,30,1,28,153,30,1,28,10,29,1,16,1,14,1,12,1,11,1,9,1,13,1,6,2,7,1,29,2,28,1,30,1,6,1,30,1,28,1,29,1,6,1,7,1,8,1,9,1,8,1,7,1,24,3,9,1,10,1,7,1,28,7,7,1,12,1,24,1,6,1,28,36,6,1,8,1,24,1,29,1,6,1,30,1,29,1,24,1,9,1,12,1,13,2,29,1,30,1,28,1,29,1,30,1,6,1,29,1,8,1,24,1,8,1,7,1,28,5,7,1,9,1,13,1,6,1,28,4,30,1,8,3,9,1,10,1,9,1,8,1,24,1,6,2,8,1,24,1,10,1,9,1,10,1,13,1,28,3,30,1,13,2,28,50,29,1,13,1,}, {30,1,28,1,30,1,29,1,13,1,29,1,8,1,13,1,6,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,29,1,30,1,6,1,13,1,30,1,6,2,13,1,9,6,8,1,10,2,12,1,17,1,9,1,17,7,9,1,6,1,8,1,29,1,28,3,29,2,13,1,24,1,10,1,8,1,28,5,30,1,6,1,24,2,7,1,6,1,29,1,30,1,28,1,30,1,28,6,30,1,8,1,24,1,28,45,30,3,28,1,8,1,7,1,13,1,6,1,28,2,6,1,7,1,8,1,9,1,24,1,13,1,8,2,9,1,6,1,8,1,7,1,8,1,7,1,6,2,30,1,28,3,30,1,6,1,29,1,13,2,24,1,7,1,30,1,29,1,30,1,28,1,30,2,8,1,10,1,9,2,13,2,8,1,30,1,9,1,8,2,13,1,8,1,9,1,24,1,9,1,11,1,6,1,30,1,28,1,30,1,6,2,30,2,28,31,30,1,28,3,6,1,29,1,28,1,7,1,8,1,13,1,28,3,30,1,28,1,13,1,17,1,10,1,14,1,10,1,8,1,13,3,7,1,13,1,30,1,6,1,7,1,13,1,6,2,8,1,13,1,29,1,13,1,8,1,6,2,8,1,13,1,10,1,12,2,17,1,14,2,29,1,28,14,7,1,13,3,7,1,6,2,29,1,30,1,6,1,29,1,30,1,6,1,7,1,6,1,30,2,6,1,7,1,11,1,13,1,9,1,8,2,9,2,8,1,13,1,17,1,9,3,10,2,9,1,10,1,8,1,9,2,17,1,11,3,16,2,11,1,9,2,16,1,11,1,10,1,11,1,9,1,16,1,9,1,11,1,16,1,11,1,16,1,17,1,11,1,16,1,9,1,16,2,17,2,16,1,17,2,16,2,17,1,16,1,17,1,11,1,17,1,11,4,16,1,9,1,11,2,9,1,11,2,16,1,17,1,11,1,9,2,11,1,16,1,11,1,17,2,16,1,17,3,11,2,10,1,11,1,9,1,17,1,10,1,16,1,11,1,17,1,16,1,17,1,16,1,9,1,17,2,11,4,17,1,9,1,16,1,9,1,16,1,17,1,16,1,11,1,17,1,9,2,16,1,11,1,9,1,16,1,11,2,16,2,8,1,9,1,6,1,13,3,10,1,13,2,9,1,13,1,9,1,8,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,13,1,6,1,28,1,7,1,29,1,7,1,6,3,29,1,30,1,6,1,29,1,7,2,6,1,7,1,30,1,6,1,8,1,7,1,30,1,28,1,13,1,8,1,13,1,7,1,8,1,6,1,24,1,8,1,13,2,9,1,13,2,11,1,13,1,10,1,9,1,8,2,9,1,13,1,9,1,11,1,17,3,16,9,11,1,16,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,10,2,9,5,8,1,9,1,8,2,16,1,9,3,8,2,9,2,8,1,9,2,16,1,9,1,8,1,16,1,8,1,9,1,11,1,9,2,16,1,11,1,10,3,8,1,10,1,9,1,16,2,17,1,9,1,16,2,8,1,9,1,16,1,10,1,11,4,10,1,11,4,12,1,8,1,9,2,11,1,9,1,12,1,17,1,11,1,9,2,24,1,13,3,7,1,13,1,30,1,13,2,6,1,13,1,7,1,6,2,7,2,8,1,6,1,7,1,30,1,28,1,7,1,6,2,29,2,6,1,13,1,8,1,30,1,17,6,12,1,11,1,16,1,17,1,12,1,11,1,16,1,11,1,8,1,9,1,10,1,9,2,13,2,24,1,7,1,24,1,8,1,7,1,29,1,6,1,7,1,30,1,6,1,28,1,30,1,29,1,28,2,29,1,28,8,29,1,28,1,30,1,6,1,29,1,28,1,30,2,6,1,28,2,6,1,28,3,29,1,28,2,30,1,28,16,30,1,29,1,30,2,29,1,30,1,28,1,7,1,28,3,6,2,28,1,13,1,17,1,11,1,17,3,16,2,11,1,9,1,11,2,9,2,11,1,9,1,16,1,9,3,11,1,9,1,11,2,16,2,11,1,10,1,16,1,11,1,16,1,11,2,9,2,11,2,17,1,16,1,11,1,16,1,11,1,9,1,16,1,11,1,10,1,11,1,17,1,11,1,17,1,16,1,11,1,17,1,11,1,17,2,11,2,17,2,16,1,11,2,17,3,12,2,9,1,11,1,9,4,6,1,8,1,10,1,9,2,8,1,7,1,9,1,13,3,9,1,8,1,7,1,13,1,8,1,6,1,7,1,8,1,24,1,13,1,7,1,8,1,6,1,13,1,7,1,8,1,13,2,30,1,13,1,7,3,30,1,7,1,30,2,28,1,30,1,28,1,30,2,28,3,12,1,24,1,13,2,6,1,13,2,8,1,13,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,8,2,7,1,9,1,6,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,24,1,6,1,8,1,13,1,8,1,13,1,6,1,7,1,6,1,7,1,8,1,28,1,7,2,6,1,13,1,7,1,13,1,8,3,9,1,6,1,28,1,29,1,28,1,29,1,7,1,13,1,6,2,7,1,13,1,7,1,13,1,7,1,6,1,30,1,29,1,30,1,29,2,28,1,29,1,28,17,11,1,17,1,11,1,9,1,13,2,29,1,6,1,28,9,6,2,11,1,9,1,16,1,17,1,8,1,7,1,30,1,28,2,29,1,9,1,17,2,24,1,16,1,9,2,11,1,16,1,11,1,10,1,16,1,11,1,17,5,11,1,10,1,12,1,13,1,8,1,9,3,10,1,9,1,16,1,9,1,12,2,24,1,8,2,28,14,6,1,29,1,30,1,28,1,6,1,28,34,9,1,17,1,24,1,27,1,25,4,26,1,15,2,9,1,16,1,17,3,16,2,17,2,9,1,28,1,6,1,9,1,13,1,28,5,13,1,6,1,13,2,9,1,13,2,9,1,13,4,9,1,28,1,7,1,30,2,6,1,28,1,30,1,6,2,30,1,6,1,30,1,7,1,30,1,6,2,30,1,6,1,30,3,13,1,30,1,6,2,9,1,13,1,30,1,28,1,30,4,6,1,30,3,29,1,13,1,6,2,13,1,30,1,6,3,13,1,30,1,29,1,6,1,28,1,30,2,6,1,28,1,30,2,6,1,30,3,29,1,6,1,30,11,6,2,29,1,30,1,6,3,30,1,6,1,29,1,30,1,29,1,30,5,6,1,30,1,28,1,6,2,30,1,6,2,29,1,30,1,6,1,28,1,6,3,30,1,6,3,30,2,6,2,29,1,6,1,30,1,6,1,30,2,6,1,30,1,29,3,30,1,6,1,30,1,28,1,6,4,13,2,29,1,6,2,30,1,6,1,30,2,6,1,28,1,30,2,6,1,30,1,28,1,6,1,30,2,6,1,30,1,28,1,30,6,6,1,29,1,6,1,30,2,6,3,29,1,6,1,30,3,6,2,30,1,6,2,29,1,30,1,6,3,30,5,28,1,30,2,6,1,30,5,28,1,30,2,28,1,30,1,28,1,30,2,6,1,30,3,28,1,30,7,6,1,28,1,30,2,13,1,6,1,30,3,6,1,30,2,6,1,30,1,28,1,30,3,28,1,30,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,29,1,6,1,28,1,30,1,13,1,28,1,13,1,6,1,28,1,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,2,6,1,30,2,6,2,30,1,6,3,30,1,6,2,30,1,6,3,30,1,6,4,29,1,30,1,6,1,30,1,28,1,7,1,28,1,6,1,29,4,6,2,29,1,30,1,6,1,28,1,30,2,28,2,30,4,6,1,30,2,28,1,13,1,9,1,13,1,30,1,6,1,30,1,11,1,8,1,12,1,10,1,12,1,17,2,10,1,12,1,17,5,28,2,30,1,6,2,28,4,6,1,28,1,29,1,28,2,30,2,28,4,6,1,11,1,9,2,11,1,13,2,30,1,28,1,9,1,11,1,9,1,13,1,8,1,28,1,6,1,28,17,29,1,30,1,28,5,30,1,6,1,28,15,30,1,7,1,8,2,13,1,9,1,17,1,11,3,12,1,11,1,16,1,17,1,9,3,17,1,8,1,28,28,11,1,8,1,9,2,10,1,13,1,10,1,9,2,10,1,9,1,24,1,10,1,9,1,11,1,10,1,9,1,24,1,11,1,12,1,17,1,11,1,10,1,11,1,9,1,12,1,9,1,11,3,12,1,10,1,11,1,8,1,10,2,12,3,8,2,24,1,9,1,24,1,8,1,9,1,8,1,12,1,24,1,10,2,8,1,24,3,8,2,25,1,8,1,25,1,8,1,25,1,27,1,6,4,7,1,28,1,6,1,29,2,7,2,28,1,29,1,6,1,28,1,8,1,28,1,25,1,6,1,30,1,7,1,29,1,28,1,29,1,28,3,30,1,28,2,30,1,28,1,30,1,28,1,6,1,29,1,6,1,29,2,25,2,27,1,30,1,25,1,26,1,29,1,8,1,26,1,30,1,29,2,6,1,28,1,26,1,25,1,29,2,6,1,29,2,30,1,29,1,30,1,27,1,29,3,28,1,30,2,29,1,28,1,25,1,27,1,29,1,25,1,28,1,25,3,8,2,24,1,8,1,24,2,8,1,12,1,24,1,10,1,9,1,24,1,12,1,8,1,10,1,8,1,25,1,24,1,8,1,12,1,10,1,7,1,25,1,8,3,24,1,10,3,12,1,7,1,24,1,10,1,24,1,10,1,24,2,8,1,12,1,7,1,24,1,8,1,10,1,24,4,10,2,24,1,10,1,12,1,10,1,24,3,10,1,12,1,10,1,24,2,12,4,10,1,29,1,28,22,29,1,28,12,30,1,28,1,30,1,7,3,8,1,12,1,10,1,12,1,9,1,17,1,10,1,24,1,9,1,24,1,8,1,12,1,8,1,24,1,17,1,8,1,24,1,10,2,12,1,10,1,12,1,17,1,8,1,10,1,12,1,24,1,12,1,24,1,8,1,24,6,8,1,17,1,24,1,12,2,17,1,8,1,10,1,12,1,9,1,24,1,17,1,9,1,12,1,17,1,12,3,17,1,24,1,12,1,10,1,12,1,17,2,10,1,24,2,8,1,24,4,9,1,12,1,10,1,12,2,8,1,29,2,6,1,13,2,17,1,13,1,17,2,12,1,10,1,12,2,10,1,12,1,10,1,12,1,24,1,12,1,10,1,17,2,12,3,10,1,12,2,17,2,11,1,12,1,17,10,11,1,28,15,7,1,13,1,28,9,30,2,28,23,7,1,13,1,24,1,8,2,9,1,8,1,13,5,12,1,10,1,11,1,17,1,12,1,9,1,12,1,8,1,11,2,17,1,10,1,17,5,10,3,9,2,8,1,9,1,8,1,13,2,9,1,29,1,8,1,13,3,8,1,13,2,9,2,13,5,6,1,13,6,10,1,13,1,11,1,9,1,13,5,30,1,28,184,13,1,14,2,15,2,11,1,24,1,7,1,30,1,6,1,7,2,28,1,6,3,29,1,28,1,8,1,29,1,13,1,8,1,13,1,8,2,13,1,9,1,10,1,9,1,7,1,28,7,6,1,15,1,13,1,8,1,28,36,6,1,9,1,8,1,7,1,6,1,28,1,13,1,12,1,9,1,13,1,8,1,30,3,28,3,13,2,8,2,13,1,29,1,28,5,30,1,8,2,30,1,28,4,29,1,13,1,24,1,8,2,15,1,24,1,9,1,24,1,29,1,6,3,24,1,10,1,9,1,7,1,28,4,13,2,28,49,30,1,28,1,9,1,}, {28,5,29,1,6,2,13,1,6,1,29,1,6,2,28,1,30,1,6,1,28,1,13,1,30,1,6,1,28,2,6,1,29,1,6,1,13,3,9,1,8,1,13,1,9,3,12,1,8,1,17,2,16,1,17,5,16,1,9,1,6,1,28,1,30,1,28,3,7,1,13,1,8,1,15,1,8,1,30,1,28,4,30,1,8,1,24,1,8,1,7,1,29,1,30,1,28,10,13,1,8,1,7,1,28,41,30,1,28,1,30,1,28,1,6,1,28,1,13,1,29,1,6,1,9,1,30,1,28,3,6,1,8,1,17,2,9,1,13,1,9,1,8,1,11,1,6,1,7,1,13,1,8,1,29,1,30,1,28,3,30,1,28,1,29,1,28,1,6,2,12,1,9,1,30,1,28,1,30,1,6,1,28,1,30,1,6,1,11,1,24,2,8,1,13,1,6,1,7,2,8,1,13,1,7,1,8,1,9,1,13,1,9,2,13,1,29,1,30,2,7,1,6,1,13,1,6,1,28,35,29,1,28,1,29,1,13,2,24,1,29,1,28,1,30,1,28,1,30,1,8,1,9,2,12,1,13,1,7,1,8,1,13,2,6,2,29,2,30,1,7,1,6,1,13,1,6,2,13,1,29,1,6,2,8,1,6,1,15,1,9,1,12,1,15,1,17,2,14,1,30,1,28,14,29,1,13,2,6,1,29,2,6,1,13,1,28,2,6,1,30,2,29,1,6,1,28,1,6,1,28,1,7,1,13,2,6,1,9,3,12,1,10,1,8,1,11,1,9,1,16,1,11,3,17,1,11,1,9,1,11,1,10,1,16,1,11,1,9,1,11,1,9,1,11,2,9,1,16,1,11,1,16,1,11,2,16,1,10,1,16,1,11,1,9,1,11,1,16,4,17,1,11,1,16,1,11,1,16,1,17,1,16,1,17,1,11,1,10,1,16,1,10,1,17,1,16,1,11,1,10,1,16,1,9,1,17,1,16,2,9,1,11,1,9,1,16,1,10,1,9,1,11,1,17,1,11,1,16,3,11,1,16,2,17,2,11,1,16,1,17,1,16,1,10,3,9,1,11,1,10,1,16,2,11,1,10,1,17,1,11,2,16,1,9,1,17,1,11,2,16,3,11,1,16,1,11,1,9,1,17,1,9,1,10,1,16,1,17,1,16,1,17,1,11,1,9,1,11,1,9,1,16,1,13,2,7,1,8,1,6,1,13,4,8,2,9,1,8,1,9,1,10,1,9,2,10,1,16,1,8,1,30,1,29,1,28,1,29,1,13,1,28,1,6,1,13,1,28,1,24,1,30,1,13,1,30,1,13,1,29,1,30,1,6,2,28,2,8,1,13,1,6,1,30,1,13,2,8,1,6,1,8,1,6,1,9,1,13,1,8,1,13,2,8,1,13,1,10,1,9,1,8,3,11,2,9,1,17,4,16,1,17,1,16,5,9,1,11,1,9,1,11,2,10,1,11,1,9,1,11,1,13,1,9,1,11,1,9,5,13,2,11,1,9,3,8,1,9,2,13,1,11,1,8,1,9,1,13,2,9,1,10,1,8,1,9,1,10,1,9,2,11,1,9,1,11,1,9,2,10,1,11,2,9,1,11,1,9,2,16,2,10,1,11,2,10,1,9,1,16,1,9,1,16,1,11,1,9,1,11,1,16,1,11,1,9,1,16,2,12,1,9,1,11,1,9,1,8,1,9,1,10,1,17,1,11,1,12,1,9,1,24,1,8,2,13,1,8,1,6,1,7,1,6,1,7,1,13,1,8,1,6,2,13,1,6,1,29,1,6,1,13,1,29,1,6,1,13,1,30,1,6,2,29,1,6,1,30,1,6,1,13,1,7,1,12,1,17,5,16,1,17,2,11,1,16,1,17,3,11,1,9,1,11,1,9,1,10,1,11,1,8,1,9,2,13,1,6,1,30,1,7,1,6,3,28,1,29,1,28,2,30,2,28,1,30,1,28,1,30,1,28,3,6,1,28,3,30,1,6,1,28,2,29,1,30,1,28,2,30,1,28,3,29,1,28,11,30,2,29,1,30,1,29,1,28,1,30,1,28,1,29,1,30,1,29,1,28,1,30,1,6,1,28,2,30,2,6,2,30,1,29,1,6,1,7,1,17,6,10,1,11,2,9,1,11,1,10,1,9,1,11,1,9,1,10,1,9,4,11,2,9,3,11,2,17,1,11,4,9,1,11,1,17,2,9,1,16,2,17,2,11,1,9,1,16,3,17,1,11,1,17,1,16,1,17,2,12,1,11,1,16,2,11,1,17,1,16,1,12,1,11,2,17,3,10,1,9,1,11,1,8,1,9,1,8,1,9,1,16,1,11,1,9,1,13,1,9,1,8,1,13,2,6,1,13,4,7,1,13,2,7,1,13,3,6,1,7,1,13,1,29,1,13,3,8,1,13,2,7,2,29,1,6,2,30,2,28,1,30,1,28,7,29,1,17,1,13,4,24,1,13,1,6,1,13,1,9,1,13,1,8,2,13,1,8,2,11,1,13,2,9,2,17,1,13,1,11,1,24,1,7,1,8,1,6,1,8,1,29,1,13,1,7,1,13,1,29,1,6,1,7,2,6,2,30,1,7,1,6,1,13,1,7,1,8,1,30,1,13,1,8,1,6,1,8,1,6,1,30,1,28,3,29,1,30,1,13,1,30,1,13,1,7,2,6,1,13,1,6,3,30,1,28,2,30,1,28,2,30,1,28,7,30,1,28,5,30,1,28,1,29,1,10,1,17,1,9,2,13,1,6,2,29,1,28,9,6,1,9,1,11,1,16,1,17,2,13,1,28,4,24,1,17,3,9,3,16,3,12,1,11,1,17,1,11,2,17,3,9,2,8,3,9,1,24,1,11,3,17,1,11,1,24,1,13,2,6,1,30,1,28,12,30,1,7,1,8,1,12,1,9,1,13,1,8,1,13,1,29,1,6,2,28,2,30,1,28,26,30,1,12,2,24,1,26,1,25,2,26,2,29,1,15,1,12,1,9,1,12,1,10,1,17,1,16,4,17,1,13,1,28,2,17,1,13,1,28,5,13,5,9,1,13,1,9,1,13,1,9,1,13,3,30,2,6,2,28,1,30,2,29,1,30,1,29,1,30,2,6,2,7,1,30,2,6,1,30,4,13,1,7,1,6,2,30,2,28,1,6,1,30,8,6,1,13,1,6,4,13,1,30,1,13,1,6,1,30,2,6,1,28,1,30,1,28,2,6,1,30,3,29,1,30,1,28,1,30,3,28,2,30,9,6,1,30,1,6,1,30,2,28,1,30,2,29,1,30,3,6,4,30,1,29,1,30,2,6,2,30,1,6,1,13,1,30,1,6,2,30,1,6,1,30,1,28,1,29,1,30,4,6,1,30,1,6,1,29,1,30,1,29,1,6,2,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,28,1,30,2,9,1,30,1,28,1,6,1,30,4,6,1,29,1,30,2,6,1,30,3,29,1,30,2,6,1,29,1,13,1,6,1,30,1,6,1,30,1,6,1,30,2,6,2,30,1,6,6,29,2,30,1,6,2,29,1,6,1,28,1,6,1,30,1,6,1,30,2,6,1,30,4,6,1,30,2,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,6,2,28,1,30,1,28,1,30,1,28,1,30,2,6,1,29,1,30,4,29,1,30,3,6,1,30,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,29,1,30,4,29,1,13,1,30,2,28,1,6,2,13,1,6,1,30,1,13,1,6,1,28,1,13,1,30,1,6,10,30,7,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,30,1,28,1,6,2,30,2,6,1,30,2,28,2,6,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,4,30,2,28,1,30,2,28,2,6,1,30,4,13,4,30,1,6,1,16,1,8,2,10,1,17,1,12,1,10,2,12,2,11,1,17,1,11,1,28,3,30,1,6,1,30,1,28,4,30,1,28,2,30,1,28,2,6,1,28,5,17,1,9,1,8,1,17,1,11,1,13,1,9,1,12,1,17,1,8,1,13,1,29,1,6,1,28,17,6,1,7,1,28,5,30,1,28,1,6,1,13,1,28,15,6,1,13,1,24,1,13,1,9,2,12,1,11,2,16,1,11,1,12,1,9,1,11,1,16,1,12,1,10,1,9,1,11,1,13,1,28,27,13,1,9,1,8,2,10,1,9,1,24,1,9,2,12,1,9,2,10,4,9,1,11,3,10,1,12,1,10,3,11,2,10,1,11,1,12,2,11,2,10,1,9,2,10,1,12,1,10,1,24,1,9,2,24,2,8,1,24,1,8,2,24,1,13,1,17,1,10,1,24,2,25,1,8,2,24,2,25,1,6,1,25,1,26,2,29,1,28,1,29,1,6,1,30,1,6,1,29,2,7,1,30,1,29,1,6,1,25,1,7,1,8,1,28,1,6,1,7,3,30,1,28,2,30,3,28,1,27,1,30,1,28,2,27,1,29,1,30,2,25,2,27,1,25,1,29,2,25,1,27,1,26,2,28,1,29,1,27,1,25,2,30,1,29,3,28,1,30,1,6,1,30,3,29,1,30,1,6,2,30,1,29,1,25,1,6,1,29,1,30,4,25,1,27,1,6,1,25,5,24,1,8,1,24,2,12,1,8,1,12,2,10,1,24,1,12,2,13,1,8,2,10,1,25,1,8,2,24,2,10,1,8,1,24,1,13,1,12,1,24,1,12,1,8,1,24,4,12,1,13,1,24,1,25,1,8,2,24,1,8,1,10,1,24,2,12,2,24,1,10,2,12,1,9,1,10,1,12,1,10,1,12,1,9,1,10,2,12,1,24,1,10,3,12,1,10,1,7,1,28,27,30,1,28,9,30,1,29,1,6,1,8,1,24,1,10,1,12,1,17,1,12,1,9,1,12,1,24,2,10,1,24,1,9,1,10,1,24,1,10,1,12,1,24,2,12,1,9,1,24,2,10,3,24,1,10,1,13,1,24,1,12,1,17,1,8,1,24,1,10,1,24,2,10,1,12,3,24,1,12,1,9,1,24,1,12,2,10,1,9,1,12,1,10,1,17,1,10,2,17,2,12,2,9,1,17,1,12,1,10,1,12,1,17,2,12,1,24,1,8,1,24,1,12,1,17,1,9,2,6,1,8,1,7,1,8,1,7,2,13,2,8,3,13,1,10,1,8,1,24,1,17,1,9,1,10,1,12,1,8,1,12,1,24,1,12,1,17,1,9,1,17,1,12,1,17,1,10,1,12,1,10,2,9,1,17,1,12,1,17,1,12,1,17,8,8,1,28,14,6,1,13,1,28,9,30,1,28,25,13,1,8,2,13,2,8,2,13,3,8,1,9,2,10,1,11,1,9,1,11,1,12,1,11,1,9,1,11,1,13,1,10,1,9,1,17,4,12,1,9,1,13,1,9,1,8,1,9,3,8,1,13,1,9,2,13,3,6,1,13,2,6,1,13,1,8,1,13,2,8,2,9,2,13,6,11,1,9,1,8,2,13,1,8,1,13,1,7,2,6,1,28,186,16,1,14,2,12,1,9,1,8,1,13,1,30,1,29,1,13,1,7,1,13,1,8,1,29,1,7,1,28,1,30,1,6,1,7,1,8,2,13,1,8,3,9,1,24,2,30,1,28,6,30,1,8,1,24,1,8,1,7,1,29,1,28,35,29,1,14,1,24,1,30,2,28,1,7,1,12,1,8,2,30,1,28,1,30,1,28,2,30,1,6,1,7,1,13,1,8,2,9,1,13,1,28,5,30,1,9,1,13,1,30,1,28,4,7,1,13,1,9,3,14,1,24,1,12,1,8,3,6,1,8,1,9,1,10,1,9,1,13,1,28,3,6,1,9,1,7,1,28,50,6,1,9,1,}, {28,1,30,1,6,2,28,1,30,2,6,1,13,1,6,1,13,1,8,1,10,1,13,1,6,1,13,1,30,1,6,1,29,1,28,1,30,1,28,1,6,1,29,1,13,1,8,1,7,1,13,5,9,3,17,1,12,1,17,7,9,2,29,1,6,1,29,1,28,2,30,1,6,1,7,1,9,1,10,1,8,1,28,6,13,1,8,1,10,1,6,1,30,1,29,1,28,9,30,1,13,1,24,1,7,1,28,39,29,1,28,3,30,2,29,2,30,1,6,1,13,1,24,1,13,1,28,2,30,1,6,1,13,1,10,1,17,1,8,2,9,2,8,1,13,2,9,1,13,1,7,1,29,1,30,2,28,1,30,3,28,1,6,1,30,1,17,1,8,1,30,1,28,3,30,1,6,1,29,1,17,1,9,1,16,1,13,1,28,1,7,1,6,1,7,2,13,1,24,1,8,3,9,1,11,1,24,1,30,1,29,1,13,1,6,1,7,2,30,1,28,28,30,1,28,4,29,1,30,3,7,2,24,1,6,1,29,1,28,4,6,1,12,1,8,1,9,2,6,2,8,1,6,3,29,1,6,2,13,1,6,1,7,2,30,1,13,1,6,2,7,1,6,1,13,1,9,1,15,1,14,1,17,4,13,1,28,14,6,1,13,1,8,1,6,1,7,1,6,1,28,1,29,2,28,1,6,1,30,1,29,2,28,1,13,1,29,1,6,1,28,1,8,1,13,2,9,1,13,1,9,1,8,1,9,3,11,1,16,1,8,1,11,1,9,1,8,1,9,3,11,1,13,1,11,1,9,1,11,1,10,1,11,2,17,1,16,1,11,3,16,1,10,1,16,1,11,4,17,1,16,3,11,1,16,1,11,1,17,1,16,1,11,1,16,2,9,1,10,1,16,1,9,1,16,1,9,2,11,1,16,1,17,1,16,1,9,3,16,1,9,1,16,2,10,1,16,3,17,2,9,1,17,1,16,1,17,1,16,1,17,1,10,1,17,1,11,2,16,1,11,1,16,2,17,1,9,1,17,1,9,1,10,1,16,2,9,1,16,2,11,2,16,1,11,3,17,4,16,2,9,1,16,2,8,1,9,1,11,1,9,1,17,1,16,1,9,2,6,1,13,1,6,2,7,1,12,1,13,1,9,2,13,1,7,1,9,4,11,1,16,1,9,2,10,1,7,1,29,4,6,1,29,1,6,1,13,1,7,1,30,1,6,1,29,1,7,1,6,3,30,1,6,1,13,1,7,1,6,1,13,1,6,1,13,2,9,1,6,1,13,1,7,1,8,4,13,1,9,2,8,1,9,1,13,2,11,4,17,3,16,3,11,1,16,1,11,4,16,2,10,1,9,2,11,1,9,1,11,2,9,3,11,1,13,1,9,1,13,1,10,1,9,2,11,1,13,1,8,1,13,1,8,1,9,4,8,1,9,1,8,1,11,1,8,1,9,1,8,2,10,1,11,1,9,1,11,1,9,1,16,1,9,2,13,1,9,1,16,1,9,1,11,2,16,1,17,1,11,1,16,1,9,1,11,1,16,1,9,1,11,3,9,1,11,2,9,1,11,2,9,2,11,1,10,1,13,1,11,1,8,1,11,2,9,1,8,1,9,1,8,1,24,1,6,1,7,1,13,1,7,1,13,1,8,1,13,1,6,1,8,1,6,1,29,2,7,2,6,3,28,1,7,1,30,1,29,1,28,1,30,1,6,1,28,1,6,3,10,1,17,5,12,1,11,2,17,2,12,1,17,1,16,1,11,1,17,1,9,1,16,1,9,2,11,1,24,2,13,1,7,1,13,1,29,1,6,2,29,2,6,1,30,1,28,1,6,1,28,2,30,1,28,5,29,1,28,6,6,1,28,1,29,1,28,2,29,1,30,1,28,3,30,1,28,10,6,1,28,3,30,2,28,11,29,1,7,1,30,2,6,1,13,1,7,1,9,1,11,1,17,4,11,4,9,2,11,6,9,1,10,1,8,1,11,1,16,1,11,2,16,2,11,1,16,2,11,3,17,3,11,1,16,1,17,3,16,1,10,1,11,1,17,1,16,2,17,2,9,1,16,1,17,1,11,1,16,1,17,4,11,1,16,1,17,1,12,1,17,2,12,1,11,1,9,1,17,1,9,3,7,1,13,1,9,1,13,7,6,2,13,1,7,1,30,1,6,1,13,1,30,1,7,1,6,3,7,1,6,1,30,1,6,2,29,2,6,1,28,1,13,1,30,2,7,1,29,1,7,1,30,1,28,1,30,1,28,7,12,2,6,1,8,1,6,1,8,1,13,1,9,2,13,1,8,1,13,1,9,2,13,1,9,1,13,1,6,1,7,1,13,1,8,1,10,1,9,1,13,1,10,1,24,1,9,1,13,1,6,1,7,1,6,1,7,1,29,1,8,1,30,1,28,1,13,1,29,1,7,1,6,2,13,1,29,1,6,2,7,1,6,1,7,1,8,1,7,1,8,3,28,2,6,2,29,1,6,1,13,1,7,2,24,1,6,2,13,1,28,1,30,1,29,2,6,1,30,1,28,19,9,1,17,1,11,1,9,2,13,1,7,2,30,1,28,8,6,1,8,1,10,2,16,2,10,1,6,1,28,1,30,1,28,1,13,1,17,1,10,1,17,1,6,1,8,1,24,1,9,1,11,1,12,1,9,1,17,1,12,1,11,2,17,3,11,1,10,1,9,2,24,1,13,2,8,1,24,1,9,1,8,1,10,1,13,1,8,1,30,2,28,11,8,1,17,1,9,1,24,1,8,1,9,2,10,1,16,1,11,1,8,1,9,4,6,1,30,1,28,24,7,2,17,1,24,1,26,1,25,1,8,1,26,1,27,1,29,1,25,1,17,1,24,1,9,2,17,2,16,6,28,1,30,1,11,1,13,1,28,5,13,1,6,1,13,1,9,1,13,1,9,1,13,4,9,2,13,1,6,2,30,1,28,1,30,1,6,1,30,1,28,1,30,2,13,4,6,5,30,2,13,1,8,1,6,1,28,1,30,4,28,1,30,2,28,1,6,1,7,1,29,1,30,2,6,1,13,1,7,1,13,1,6,4,29,1,6,2,30,4,29,1,28,1,30,7,29,1,30,1,28,1,30,1,6,1,30,5,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,2,28,1,30,1,6,1,30,1,29,1,30,2,29,1,30,1,29,2,30,2,28,1,30,1,6,1,30,4,29,1,6,1,30,2,6,1,30,1,6,1,7,1,6,2,30,1,28,1,30,3,6,1,30,1,6,1,30,3,6,1,29,1,30,1,13,1,30,6,6,1,13,1,30,1,6,1,29,1,6,2,30,5,28,1,30,1,28,1,30,3,6,2,30,1,28,2,30,3,29,1,6,1,29,2,30,2,6,3,30,1,6,5,30,1,6,1,30,1,6,2,28,1,30,1,28,1,29,1,30,1,28,1,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,3,6,1,28,1,29,1,30,3,6,2,30,2,6,1,29,1,30,1,6,2,28,1,6,1,30,1,6,2,28,1,6,1,30,1,28,1,30,1,7,2,30,5,6,1,30,1,28,1,6,2,30,2,29,1,30,2,6,4,29,1,30,1,7,1,30,1,13,1,7,1,6,2,29,1,30,1,6,2,13,1,6,1,13,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,13,1,28,1,29,1,6,6,30,1,13,1,30,2,28,1,30,2,6,1,30,2,28,1,30,2,28,1,6,1,29,1,30,1,6,2,7,1,6,1,30,1,6,3,30,2,28,1,30,1,6,1,30,3,6,1,28,1,30,3,6,1,8,1,13,2,30,1,28,1,11,1,10,1,8,1,17,1,12,1,10,2,17,1,12,2,17,1,8,1,28,4,6,3,28,5,6,1,28,1,29,1,28,2,30,1,28,5,11,1,9,2,17,1,6,1,30,1,17,1,10,1,12,1,13,1,7,1,29,1,28,8,30,1,28,8,7,1,6,1,28,24,29,1,13,1,24,1,8,1,9,1,11,1,9,1,16,1,17,1,10,1,11,2,12,1,17,1,10,1,16,1,10,1,11,1,10,1,9,2,6,1,28,26,29,1,11,1,9,6,10,1,9,1,8,1,10,1,9,1,10,1,12,1,11,2,10,2,11,2,9,1,10,1,11,1,10,1,9,1,11,1,10,1,11,1,9,1,12,1,11,2,10,1,12,1,11,1,10,1,9,1,24,1,9,1,10,1,24,1,10,1,8,1,24,1,8,1,24,1,13,1,8,1,24,1,12,1,24,1,8,1,24,1,10,1,25,1,24,1,8,1,24,2,29,1,24,1,8,1,29,1,26,1,30,2,7,1,25,1,6,1,29,1,30,1,7,3,6,2,7,1,25,1,28,1,6,1,30,1,28,1,6,1,25,1,29,1,30,1,28,3,30,1,8,1,28,1,29,2,28,2,29,1,30,1,27,1,28,1,25,1,27,1,25,2,27,2,26,1,29,1,25,1,27,1,29,3,26,1,30,1,27,1,29,2,27,2,28,1,27,2,30,1,29,1,6,2,29,1,28,2,30,1,6,2,29,1,25,2,26,1,30,1,25,2,29,2,8,4,24,1,7,1,12,1,8,1,12,2,10,1,12,1,8,1,24,1,7,1,8,1,25,1,8,1,24,1,8,3,24,6,10,2,7,1,10,1,12,1,10,2,7,1,24,1,8,1,12,1,24,1,25,1,24,3,12,1,24,2,17,1,12,1,24,2,17,1,24,3,17,1,10,1,12,5,24,1,10,3,24,1,7,1,28,38,29,1,30,1,13,1,12,1,17,1,12,3,10,1,12,1,9,1,12,1,10,1,8,1,12,1,24,2,13,1,8,1,12,1,10,1,24,2,12,1,17,1,9,1,10,1,12,1,24,1,10,1,24,3,13,1,24,1,13,1,24,1,10,2,12,1,24,1,17,2,12,1,24,1,12,3,9,1,24,2,17,1,24,1,17,1,12,3,10,1,12,1,17,1,10,1,17,1,12,1,10,1,9,1,12,1,24,1,9,1,10,1,9,1,12,1,9,1,24,2,13,2,24,1,13,1,8,1,24,1,13,1,8,1,24,2,8,1,17,1,9,1,24,1,10,1,12,2,24,1,10,1,17,3,12,2,17,2,12,1,9,1,17,1,11,1,10,1,17,1,12,2,17,1,12,1,17,10,10,1,28,13,30,1,13,1,30,1,28,7,30,2,28,25,7,1,10,1,6,1,13,2,9,1,13,1,7,1,8,1,13,1,9,1,8,1,10,1,11,3,17,1,10,1,11,1,10,1,17,1,9,4,12,1,17,4,13,2,9,2,13,1,9,1,13,1,9,1,13,2,8,1,13,1,6,1,13,1,6,1,13,2,7,1,13,2,9,1,13,2,6,2,7,1,13,1,6,1,13,3,8,5,13,1,9,1,13,1,6,1,13,1,6,1,30,1,28,184,30,1,14,1,17,3,24,1,8,1,13,1,28,1,29,1,8,1,7,2,6,2,28,1,29,1,30,1,13,1,8,1,13,1,24,1,8,1,13,1,9,1,17,1,24,1,9,1,13,1,30,1,28,7,13,1,12,1,13,1,6,1,29,1,28,35,13,1,10,1,8,1,30,2,28,1,13,1,24,2,13,1,8,1,30,1,28,4,29,1,24,1,13,3,9,1,6,1,28,5,6,1,8,1,7,1,28,5,13,1,8,1,24,1,8,2,14,1,15,1,24,1,10,1,13,1,6,2,13,1,11,1,9,1,8,1,6,1,28,3,29,1,13,1,6,1,28,32,30,1,28,17,24,1,17,1,}, {9,1,13,1,6,1,13,2,28,1,13,1,29,1,6,1,13,1,30,1,9,1,13,1,24,1,8,3,29,1,13,1,30,1,28,2,13,3,30,1,13,1,30,1,6,1,7,1,13,2,9,3,17,2,12,1,17,6,9,1,13,1,7,1,6,1,30,1,28,3,29,1,13,1,8,1,14,1,8,1,28,6,6,1,10,1,13,1,8,1,29,1,6,1,28,10,30,1,24,1,30,1,28,39,30,1,28,2,30,1,28,1,30,3,29,1,6,2,8,1,13,1,28,3,29,1,24,1,10,1,12,1,24,1,11,1,9,3,13,3,8,1,29,1,13,1,28,3,29,1,30,2,28,2,29,1,10,1,8,1,30,3,28,2,30,1,7,1,12,2,13,1,6,3,24,1,7,1,24,1,13,1,10,1,24,1,8,1,10,1,12,1,15,1,13,1,28,1,6,2,7,1,13,1,7,1,28,32,6,1,28,1,30,1,6,1,30,1,28,1,29,1,6,1,24,2,28,3,29,1,6,2,17,1,7,1,12,1,24,1,8,1,13,1,24,1,7,1,8,1,6,1,29,1,6,1,28,1,13,2,30,1,8,1,6,1,28,1,29,1,6,1,13,1,7,1,8,1,9,1,12,1,17,1,14,1,17,3,7,1,28,14,30,1,7,1,6,1,30,3,28,2,6,1,28,3,6,1,28,5,29,1,6,1,8,1,9,1,8,1,13,1,9,1,11,1,9,1,13,1,9,2,11,1,9,2,8,1,9,1,11,1,16,2,17,1,16,1,9,3,11,2,9,1,17,1,16,1,11,2,9,2,11,1,16,4,11,1,16,1,11,2,16,1,11,1,17,1,16,3,9,1,17,1,11,2,16,1,9,1,10,1,9,1,16,1,17,1,10,1,9,1,16,1,17,1,11,1,16,3,9,2,16,3,9,1,16,1,11,1,16,2,17,1,11,1,16,2,17,2,16,3,10,1,9,1,16,1,9,1,11,1,10,1,17,2,11,1,17,2,16,2,9,1,16,2,10,1,9,1,16,2,17,2,16,1,17,1,16,1,17,1,11,1,16,2,9,1,11,4,16,2,11,1,13,1,7,1,13,4,8,1,13,2,8,2,13,1,9,1,11,1,8,1,9,1,11,3,8,1,13,1,6,2,28,1,30,1,29,1,28,1,29,1,6,1,29,1,30,1,6,1,30,1,6,1,28,1,30,1,29,1,8,1,6,4,13,3,8,1,13,1,8,1,13,4,9,3,13,3,9,1,10,2,9,1,12,1,16,1,9,1,17,3,16,2,17,1,11,3,16,1,10,1,11,2,8,1,9,1,16,2,8,1,9,1,11,2,9,1,10,1,8,1,9,3,11,1,9,2,8,1,9,1,13,1,9,2,13,1,9,2,13,1,9,1,13,1,9,1,8,1,13,1,10,1,17,1,9,2,10,1,17,1,9,2,11,1,9,4,16,1,9,2,13,1,10,1,16,1,9,1,11,1,10,1,16,1,11,2,9,1,10,1,9,1,11,1,9,1,16,1,11,1,10,1,11,1,16,1,8,1,11,1,9,1,10,1,11,1,10,1,9,1,17,1,9,2,8,1,24,1,13,2,8,1,13,1,8,1,13,1,6,2,28,1,7,1,6,1,7,2,29,2,7,1,6,3,29,2,28,5,30,1,28,1,30,1,29,1,9,1,17,8,11,1,17,1,11,1,17,1,9,1,10,1,9,1,11,1,9,1,10,1,13,1,9,1,8,1,13,2,8,1,7,1,8,1,30,1,13,1,7,1,28,1,29,1,30,3,28,1,6,1,28,6,30,1,28,7,29,1,30,1,28,4,30,3,28,7,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,2,30,1,6,1,29,4,13,1,12,1,17,1,16,1,17,4,10,2,16,1,9,3,11,1,9,5,11,1,9,2,17,1,9,1,11,7,17,2,16,1,17,4,11,1,17,1,11,1,17,1,11,1,17,3,16,1,17,2,11,1,17,1,16,2,11,2,16,1,17,1,16,1,11,1,17,1,11,1,17,1,9,1,11,1,9,2,13,1,9,1,7,1,24,1,8,1,17,1,13,2,24,1,13,3,6,1,13,1,24,1,30,1,8,1,30,1,13,1,6,1,7,1,28,1,29,1,7,1,30,2,6,2,29,1,6,1,30,1,28,1,6,1,30,1,29,1,28,1,29,1,28,1,6,2,7,1,30,1,28,9,17,1,8,1,6,1,8,1,13,7,24,1,13,1,24,1,13,1,8,4,13,1,8,1,7,1,8,2,13,5,6,1,7,1,29,3,6,1,30,1,28,1,6,1,30,1,28,1,13,1,6,1,29,1,7,1,29,1,30,1,13,2,6,1,8,1,13,1,8,2,30,1,29,1,28,1,30,1,29,4,13,1,7,2,13,2,6,1,28,1,7,1,28,1,29,1,30,1,28,1,30,1,28,2,30,1,28,14,6,1,17,3,8,1,7,1,13,2,30,3,28,6,29,1,9,2,17,1,11,3,30,2,28,2,8,1,17,2,8,2,13,2,9,1,13,2,7,1,8,2,11,1,17,4,11,1,8,1,13,1,6,4,7,2,6,3,28,12,29,1,9,1,17,3,13,1,28,1,29,1,28,1,8,1,24,1,10,1,9,1,6,1,9,2,10,1,7,1,9,1,8,1,28,24,13,1,12,1,9,1,13,1,26,1,25,2,26,1,25,1,27,1,24,1,14,1,12,2,17,2,16,4,17,2,16,1,28,1,6,1,9,1,13,2,28,4,13,1,6,1,9,1,13,2,9,3,13,1,8,1,16,1,9,1,6,1,30,1,6,4,30,3,6,1,13,2,6,1,29,1,6,1,30,1,6,1,13,1,6,1,13,1,6,1,13,1,9,1,6,1,28,1,30,1,28,1,6,1,30,3,29,1,30,4,6,1,29,1,6,3,8,1,13,1,8,1,13,1,6,4,30,1,29,1,6,1,28,2,30,7,29,1,28,1,30,4,29,2,30,3,29,1,6,1,29,1,6,1,29,1,30,6,6,1,30,2,6,1,30,1,6,1,30,1,13,1,30,2,6,1,28,1,30,1,6,1,30,2,29,1,30,2,13,1,6,2,7,1,30,1,6,1,29,1,6,1,30,3,6,3,30,1,6,1,28,1,30,1,6,2,30,3,6,1,30,1,6,1,30,1,6,1,29,1,30,2,6,1,7,1,30,2,6,1,30,2,6,1,30,3,6,1,30,2,6,1,30,3,28,2,6,1,28,1,30,2,29,1,30,1,6,1,30,2,6,2,29,1,30,2,6,2,30,2,6,1,30,4,28,1,6,1,30,2,6,1,30,2,28,3,30,5,28,1,30,2,28,1,30,5,28,1,30,3,28,1,30,2,6,2,29,1,30,2,6,3,30,4,28,2,30,2,6,1,30,8,28,1,30,1,6,3,30,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,6,2,13,1,30,2,6,2,30,1,29,1,6,2,30,1,6,1,7,3,6,2,30,1,6,1,30,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,5,13,2,6,1,29,1,30,3,29,2,28,1,30,5,6,3,30,1,28,1,6,3,30,2,6,1,28,3,30,1,29,1,30,3,29,1,30,4,28,1,6,1,13,1,9,1,6,2,30,1,11,1,17,1,13,1,9,1,12,2,17,2,10,1,12,1,17,1,8,1,28,1,30,1,6,1,30,1,6,1,30,2,28,5,13,1,28,4,30,1,29,1,28,4,10,1,13,1,17,1,10,1,13,1,24,1,17,1,9,1,8,1,13,1,28,10,30,1,6,1,8,1,7,1,6,1,13,2,9,1,11,1,6,1,28,25,6,1,13,1,8,1,9,1,10,2,17,1,12,1,11,1,16,1,17,1,11,4,16,1,9,1,11,1,9,2,11,1,30,1,28,2,30,1,28,2,30,1,28,20,29,1,11,2,9,3,24,1,10,1,9,1,10,1,9,1,11,1,10,1,9,1,10,2,11,1,9,2,12,1,10,2,9,1,10,5,9,1,12,1,10,1,9,1,10,2,8,1,12,1,24,1,9,1,10,1,9,1,10,1,24,1,17,1,10,1,9,1,10,1,24,1,8,2,24,1,7,1,13,1,10,2,24,2,8,1,24,2,8,2,27,1,25,1,27,1,25,2,29,1,25,1,30,1,6,1,7,1,30,1,29,1,25,1,28,1,25,1,29,1,28,1,29,1,25,1,6,1,25,1,29,2,28,1,26,1,30,3,28,1,30,1,29,1,6,1,30,2,28,1,29,1,28,1,30,1,27,1,6,2,29,1,26,1,29,2,25,1,27,3,29,1,27,3,30,1,28,1,29,1,27,1,6,1,30,1,26,1,6,1,29,1,30,1,29,2,27,1,29,1,27,1,26,1,25,2,28,1,6,1,25,1,30,1,25,1,30,1,25,2,27,1,26,1,25,3,24,1,8,1,24,1,10,1,17,1,8,1,9,1,17,1,12,1,10,1,24,2,12,1,8,1,24,1,8,1,24,1,8,2,24,1,6,1,8,2,24,1,10,1,13,1,24,2,9,1,24,2,10,2,8,1,12,1,24,4,8,1,10,1,24,5,12,1,24,1,17,1,12,2,17,1,24,2,8,1,12,1,17,1,12,1,10,1,12,1,24,1,10,2,12,1,24,1,6,1,28,36,30,1,28,1,29,1,6,1,13,1,17,3,11,2,12,1,8,1,10,1,8,2,9,1,8,1,24,1,10,1,12,1,10,1,8,1,24,3,17,1,10,1,9,1,10,2,9,2,8,1,10,1,24,6,12,1,13,1,24,1,9,1,10,1,12,1,24,2,17,2,12,1,24,1,12,2,17,1,12,1,17,1,10,1,12,2,10,2,24,1,17,1,10,1,17,1,13,1,10,1,9,1,8,1,12,1,8,1,17,1,10,2,24,1,13,1,24,2,8,1,10,1,8,1,24,1,13,1,8,1,7,1,8,1,9,1,10,1,12,1,9,1,10,1,12,1,10,1,17,2,10,1,24,1,17,1,9,1,17,3,12,4,17,1,12,1,17,13,13,1,28,13,13,2,30,1,28,7,30,1,7,1,30,1,28,23,30,1,8,1,13,4,8,1,13,1,7,1,13,2,8,1,10,2,9,1,11,2,10,1,17,1,11,1,17,1,11,1,10,1,9,1,8,1,9,1,17,5,13,1,10,1,9,2,7,1,11,1,13,4,8,1,13,1,9,1,13,3,9,1,13,4,7,1,13,6,30,1,13,3,9,2,11,1,9,1,13,3,8,1,6,2,28,173,30,2,28,10,7,1,12,1,17,1,16,1,17,1,12,1,8,1,30,1,6,1,29,1,8,1,6,1,30,1,29,1,28,2,7,2,13,1,6,1,8,1,6,1,8,1,13,1,24,2,9,2,8,1,29,1,28,7,13,1,24,2,6,1,30,1,28,35,13,1,24,1,8,1,28,3,6,1,9,1,8,1,13,1,8,1,6,1,28,1,30,1,28,2,6,1,8,1,7,1,9,1,8,1,24,1,30,1,28,5,13,1,24,1,13,1,28,5,13,2,8,1,24,1,8,1,9,2,15,1,10,1,7,1,6,2,29,1,24,1,10,1,9,1,30,1,28,3,6,1,8,1,29,1,28,50,9,1,11,1,}, {9,4,6,1,13,1,30,1,28,3,6,1,29,1,7,2,6,1,8,1,9,1,8,2,9,1,13,2,29,1,30,2,28,1,30,3,6,3,10,1,9,1,8,1,17,9,11,1,8,1,6,1,29,1,30,2,28,2,6,1,13,1,24,1,10,1,24,1,28,6,29,1,24,1,9,1,24,1,6,1,29,2,30,1,28,8,8,1,12,1,30,1,28,45,6,1,30,2,6,1,7,1,8,2,28,2,8,1,9,1,13,1,9,1,17,1,8,1,9,1,13,1,8,1,10,1,6,1,13,2,6,1,28,2,30,1,28,3,30,3,28,1,7,1,8,2,6,1,28,2,30,3,13,1,10,1,17,1,6,1,24,1,7,1,6,1,13,2,8,3,30,1,8,1,10,1,8,1,17,1,24,1,7,1,13,1,6,1,8,1,7,1,13,1,28,34,6,1,29,3,6,1,8,1,24,1,13,1,7,1,28,1,29,3,7,1,9,1,10,1,9,2,8,1,24,1,13,1,8,1,29,1,28,1,6,1,13,1,6,1,13,2,29,1,13,1,6,1,29,1,6,1,13,1,29,1,6,1,8,1,24,1,13,1,15,1,17,4,8,1,28,15,6,2,28,1,29,2,6,1,28,2,30,1,28,1,30,1,28,3,30,1,6,1,28,2,13,1,8,5,9,2,8,1,10,1,8,2,9,1,11,1,13,1,16,1,8,2,11,1,16,1,9,3,11,2,9,1,16,2,11,1,16,1,11,1,16,4,9,1,10,1,17,1,9,1,16,1,11,1,16,2,11,1,17,1,11,1,17,1,16,2,17,1,10,1,16,2,9,1,11,1,16,1,9,1,11,1,16,2,9,1,11,2,17,1,8,1,16,2,8,1,16,2,11,1,17,1,11,1,17,1,11,2,17,2,16,1,17,1,16,1,17,1,11,2,10,1,12,1,9,1,10,1,9,2,11,1,16,1,13,1,11,1,16,3,17,1,9,1,17,1,11,2,17,1,11,1,9,1,17,1,11,1,17,1,11,1,16,1,17,2,16,1,11,3,16,1,9,2,17,1,9,1,11,1,9,1,13,4,6,2,9,1,8,4,10,1,8,1,11,1,16,1,11,1,10,1,9,2,6,2,30,1,6,1,28,1,30,1,6,2,30,1,6,1,30,1,28,1,13,1,6,1,29,1,28,1,13,1,7,1,28,1,13,1,29,1,6,2,13,1,8,1,6,1,7,1,9,3,7,1,6,1,11,1,9,3,8,1,13,1,8,1,13,1,11,1,9,1,17,1,10,1,17,1,16,1,17,2,16,3,11,1,16,1,11,2,16,1,11,1,16,1,9,1,16,1,9,1,11,1,10,1,16,1,9,1,13,1,11,1,9,2,13,1,10,1,9,1,13,1,9,4,8,1,9,1,8,1,9,3,10,1,9,1,8,1,9,5,8,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,10,1,9,3,11,1,16,2,8,1,9,1,11,1,10,1,11,1,17,1,11,1,10,2,11,4,16,2,10,1,11,2,9,1,17,1,9,4,17,2,9,2,8,1,24,1,9,1,7,1,8,1,7,1,29,1,13,1,6,1,30,1,6,1,29,1,7,1,30,1,6,1,7,1,30,1,7,1,6,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,7,1,8,1,11,1,17,9,11,1,16,1,17,1,10,1,11,1,10,2,11,1,9,2,13,1,7,1,13,1,6,1,8,1,13,1,28,1,13,1,7,1,30,1,28,1,30,2,6,1,30,1,28,13,30,2,28,2,30,1,28,1,29,2,28,1,30,1,28,1,30,1,29,1,28,11,30,2,28,1,29,1,28,1,30,1,6,1,30,1,28,2,6,1,28,4,29,1,30,1,7,1,30,1,29,1,6,1,30,1,8,1,17,1,12,1,17,8,16,1,9,2,11,6,16,1,17,1,9,1,16,1,9,1,17,1,11,1,16,1,11,1,9,1,16,1,11,1,17,1,16,1,17,3,16,1,17,5,16,2,17,2,11,1,17,7,16,2,17,1,16,2,11,1,16,1,12,1,16,1,11,1,9,3,8,1,9,2,8,3,24,1,13,1,8,1,13,2,6,1,13,1,28,1,30,1,13,1,6,1,28,1,29,1,28,1,30,1,29,1,13,1,29,1,28,1,30,1,29,1,28,1,29,1,28,1,29,1,28,3,30,1,28,2,30,1,28,2,30,1,28,8,8,1,24,1,13,2,9,1,8,1,13,1,6,1,8,1,13,1,8,1,13,1,8,1,13,2,9,1,24,1,9,1,8,2,9,1,7,1,6,1,13,1,8,1,13,3,6,3,30,1,29,1,6,2,28,1,7,1,28,3,6,1,29,1,7,1,30,1,6,3,7,1,24,1,13,1,8,1,13,1,7,1,24,1,28,1,6,1,28,1,6,1,28,1,6,1,30,1,7,1,13,1,6,1,7,1,6,6,28,1,30,2,28,2,30,1,28,3,30,1,28,11,30,1,17,1,11,1,9,1,10,1,9,1,8,1,6,1,8,1,28,1,30,1,28,6,30,1,6,1,8,2,13,1,12,1,10,1,7,1,28,3,13,1,17,1,11,1,9,1,13,1,6,1,13,1,7,1,28,4,30,1,11,1,17,4,12,1,9,1,7,1,6,1,30,1,28,3,30,1,28,1,30,1,28,11,29,1,9,1,11,2,9,1,17,1,12,1,13,1,30,1,28,2,13,2,9,1,13,4,8,2,9,2,7,1,13,1,28,20,6,1,8,1,17,2,13,1,25,1,27,2,25,1,26,1,25,1,26,1,10,1,14,1,12,1,16,1,17,2,16,5,17,2,28,2,9,2,30,1,28,4,13,4,9,1,13,4,9,1,13,1,9,1,7,1,29,1,30,1,6,1,30,3,6,1,28,1,30,1,6,4,30,1,6,2,30,1,13,1,6,1,30,1,13,2,28,1,30,3,28,1,30,6,6,2,30,2,6,1,28,1,6,1,30,1,6,1,13,1,6,3,28,2,6,1,30,1,6,2,30,1,29,1,30,2,6,1,28,1,30,1,28,1,6,1,30,4,28,1,30,3,29,1,30,1,6,1,30,1,6,1,30,1,29,1,30,9,29,1,30,3,6,1,28,1,30,1,29,1,30,4,6,1,30,4,7,1,30,6,6,1,30,2,6,1,30,2,28,1,6,1,30,2,6,1,30,1,6,1,29,1,30,1,6,1,28,3,30,1,6,1,30,2,6,1,13,1,30,2,28,1,6,1,30,3,6,1,30,1,29,1,30,2,28,1,30,1,6,2,30,1,6,1,30,2,6,1,30,2,6,1,7,1,30,1,6,1,30,5,29,1,6,3,30,2,6,2,30,3,6,1,30,1,6,1,30,2,6,1,30,3,28,2,30,2,28,2,30,1,28,1,6,1,28,1,30,1,28,3,30,2,6,2,30,1,29,1,30,2,6,1,30,3,6,2,30,2,6,1,30,3,28,1,6,1,30,4,6,1,30,5,6,1,30,2,6,1,30,1,6,2,13,1,30,1,28,1,6,1,13,1,30,1,6,1,13,1,6,1,13,1,7,1,6,2,30,2,6,1,13,1,29,1,6,1,29,1,6,3,13,1,30,1,6,4,30,1,28,1,30,2,6,3,30,1,6,3,30,2,6,1,30,1,29,2,30,1,28,1,6,1,30,3,6,1,28,1,29,1,28,1,6,4,30,1,6,1,30,1,6,1,29,1,30,1,28,1,30,2,6,1,28,1,30,4,28,1,6,1,30,3,6,1,13,1,9,1,13,1,30,1,6,1,8,1,17,1,7,1,24,1,12,3,17,1,12,2,17,1,10,1,6,1,13,1,29,1,6,1,30,2,28,1,30,1,28,4,30,1,28,5,29,1,28,4,12,1,10,1,9,1,24,1,11,1,17,1,10,1,8,1,13,1,28,11,7,1,8,1,13,2,10,1,9,1,10,1,8,1,6,1,28,26,6,1,8,3,11,1,9,1,16,2,10,1,11,1,16,1,11,2,12,2,16,1,10,1,11,1,12,3,9,1,30,1,29,1,28,1,30,2,28,22,9,2,10,1,9,1,10,2,24,2,9,2,12,1,10,1,12,1,9,1,10,1,9,1,11,1,10,1,11,2,9,2,12,1,11,1,8,1,12,1,10,1,11,1,10,1,12,1,24,1,12,1,9,1,10,2,9,2,24,1,8,1,24,4,9,1,24,1,8,2,10,1,24,1,8,1,13,2,24,2,13,1,24,1,8,1,6,1,24,1,25,2,24,1,26,1,7,1,6,1,7,2,29,1,6,1,30,1,6,3,29,1,25,2,8,1,6,1,28,1,6,1,28,2,27,1,6,1,8,1,6,1,30,1,29,1,30,1,6,1,30,1,27,1,6,1,29,1,28,2,6,1,29,2,30,1,27,1,25,3,6,1,25,1,27,1,25,1,27,1,25,1,29,1,26,1,27,2,29,1,30,1,28,1,29,1,30,1,25,1,28,1,25,2,27,1,30,1,27,1,30,1,27,1,25,1,6,1,29,2,27,1,6,1,26,1,29,1,25,1,26,1,25,1,30,1,25,1,6,2,25,1,8,2,24,3,9,1,17,1,12,2,9,1,12,2,24,1,8,1,24,3,25,1,8,1,24,2,10,2,7,1,8,1,10,1,24,1,9,1,24,2,10,1,12,1,24,3,8,1,24,1,10,2,24,4,10,2,17,1,10,1,17,3,12,6,10,1,9,1,10,1,12,3,10,1,12,1,10,1,6,1,28,29,30,1,28,9,13,1,8,1,17,2,12,1,17,2,24,1,9,2,12,2,24,2,10,1,8,1,13,1,10,1,24,1,9,1,12,1,10,1,17,1,9,2,12,1,8,1,12,1,24,1,8,3,24,1,9,2,24,3,8,1,7,1,12,1,24,1,12,2,24,1,12,1,10,1,12,1,10,1,12,3,24,1,12,2,24,1,12,1,24,1,9,1,12,1,10,1,17,1,12,2,17,1,12,1,9,1,10,1,8,1,12,1,17,1,24,1,13,1,24,2,9,1,10,1,8,1,24,4,10,4,9,2,8,1,9,1,8,1,12,2,17,1,10,1,17,1,12,2,24,1,12,1,10,1,9,2,12,1,17,4,11,1,17,10,6,1,28,12,6,1,13,1,28,8,6,2,28,25,6,1,8,1,13,2,8,1,13,2,7,1,13,1,6,1,7,1,8,1,9,1,11,1,9,3,11,1,10,2,12,2,9,1,8,1,13,2,17,4,9,1,13,3,9,1,13,5,9,1,8,2,7,1,13,3,8,1,13,4,30,1,13,3,6,2,13,5,9,1,11,1,9,2,13,2,6,1,30,3,28,174,30,1,28,10,13,1,10,1,16,1,17,1,11,1,12,1,13,1,7,1,6,2,13,1,7,2,29,1,6,1,30,2,13,1,6,1,13,2,8,1,13,1,8,1,9,1,8,1,13,1,9,1,24,1,6,1,28,7,13,1,10,1,24,1,6,1,28,36,7,1,8,1,15,1,28,1,6,1,28,1,29,1,24,2,8,1,24,1,6,1,28,1,30,1,28,2,7,1,6,1,8,2,24,2,6,1,28,5,29,1,9,1,13,1,28,4,6,2,8,2,13,1,24,1,15,1,11,1,12,1,24,1,7,1,29,1,7,1,8,1,11,1,12,1,8,1,28,4,30,1,6,2,28,50,13,1,12,1,}, {9,6,13,1,28,1,30,1,28,1,29,1,28,1,6,1,7,1,6,1,9,1,8,1,11,1,9,4,6,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,13,1,6,1,13,2,9,1,16,1,17,8,16,1,8,1,13,2,30,1,28,3,6,1,7,1,13,1,9,1,8,1,28,6,13,1,9,1,24,2,13,1,6,1,29,1,28,8,30,1,13,1,10,1,7,1,28,26,30,1,28,16,29,3,6,1,8,1,7,2,12,1,6,1,28,1,30,1,6,2,7,1,13,1,12,1,9,2,6,1,8,1,9,1,8,1,6,1,8,1,6,1,30,1,29,1,28,1,30,2,28,4,6,2,9,1,10,1,7,1,6,1,28,2,30,2,13,1,17,1,9,1,8,2,7,1,13,1,6,1,29,1,6,1,9,1,13,2,8,3,10,1,8,1,6,1,29,1,6,1,29,1,13,1,8,1,28,17,30,1,28,17,6,2,30,1,29,1,8,1,9,1,13,1,6,1,28,1,29,3,8,1,9,2,8,1,9,1,10,1,13,1,6,1,7,1,13,1,6,1,7,1,6,1,29,1,8,1,7,1,6,1,30,1,6,1,28,1,6,1,29,1,13,1,6,1,7,1,24,1,15,1,14,1,17,3,14,1,13,1,28,14,29,1,30,1,6,1,29,1,6,1,28,2,29,1,28,1,6,1,28,1,13,1,30,1,28,4,30,2,29,1,9,2,13,1,7,1,13,1,8,1,9,5,13,1,9,1,11,1,9,3,17,1,11,1,9,1,10,1,17,1,11,2,9,1,16,2,11,1,10,1,16,1,11,2,16,1,11,1,16,2,11,1,16,1,9,1,11,1,17,2,16,1,17,3,11,1,17,3,11,2,16,1,9,1,16,1,11,1,9,2,16,1,9,1,10,1,16,1,11,3,16,2,17,1,11,1,17,1,11,1,16,3,17,2,11,1,9,1,16,1,10,1,11,1,17,1,11,1,12,1,11,1,8,1,17,3,11,1,9,1,17,1,9,1,17,2,16,3,9,1,17,2,16,1,11,1,17,1,11,1,17,3,16,1,17,1,16,1,17,2,11,1,16,1,9,1,11,1,16,1,17,1,9,3,8,1,13,1,29,1,6,1,7,1,8,1,13,1,9,1,8,1,13,2,11,1,10,1,13,1,9,1,11,1,9,1,10,2,28,1,7,1,30,1,6,1,28,1,6,1,30,1,6,1,29,2,6,1,30,1,6,1,7,1,6,1,29,1,6,1,28,1,13,1,29,1,13,2,24,1,13,2,8,1,13,1,6,1,13,3,8,1,9,1,13,1,6,1,13,2,9,1,6,1,8,1,9,1,16,1,9,1,10,1,17,3,11,1,16,6,11,2,9,1,11,2,16,1,11,1,9,1,11,2,9,2,11,1,9,2,8,1,9,1,8,1,9,1,13,1,9,3,11,1,9,2,8,1,12,1,10,1,8,1,9,2,8,2,11,1,9,2,11,1,9,2,10,1,11,3,9,1,11,3,10,1,11,1,10,1,9,1,11,1,9,1,8,1,11,2,9,1,16,1,11,1,9,1,11,2,16,1,9,2,16,1,9,1,11,2,10,1,9,2,16,1,9,1,13,1,9,1,17,1,9,2,24,1,13,1,7,2,8,1,13,2,7,1,13,1,29,1,7,1,30,1,6,1,30,1,29,2,30,2,6,1,30,1,28,1,6,1,28,1,30,1,28,4,30,1,28,1,30,2,29,1,10,1,17,6,16,1,17,2,12,1,10,1,17,1,16,1,10,1,16,1,11,1,9,1,11,1,9,3,24,1,8,1,6,4,30,2,29,1,30,2,29,2,28,12,30,1,28,2,30,1,28,2,30,2,28,4,30,1,28,2,30,1,28,3,30,1,28,4,29,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,6,1,29,1,13,1,9,1,17,6,16,1,17,3,11,3,10,1,9,1,11,1,9,1,10,1,11,1,9,1,16,1,11,2,16,1,11,6,17,15,16,1,17,3,16,2,17,5,16,1,17,1,11,1,10,1,16,1,11,1,12,1,9,2,8,1,9,1,13,1,8,4,13,1,8,1,6,1,7,1,6,2,13,1,29,1,6,3,7,2,29,1,30,1,6,1,30,1,28,1,30,1,29,1,28,13,29,1,28,8,30,1,12,1,6,4,13,1,6,2,13,4,24,1,8,1,13,1,8,1,13,1,8,2,11,1,7,1,6,3,7,1,28,1,13,1,7,1,28,1,6,1,29,1,30,3,6,1,28,4,30,1,28,4,30,1,29,1,30,1,13,1,8,1,6,1,24,1,9,1,8,1,13,1,7,1,28,1,6,1,28,1,6,3,13,1,6,1,7,1,8,1,7,1,30,1,6,1,7,1,30,1,8,1,6,1,28,2,29,1,28,1,29,1,28,12,30,1,28,2,13,1,16,1,17,2,9,3,13,2,30,1,28,7,29,1,7,1,13,2,8,1,9,1,12,1,13,1,30,1,28,2,8,1,17,2,8,1,13,1,7,1,24,1,30,1,28,5,29,1,17,1,12,1,17,1,11,2,8,1,28,2,30,1,28,16,17,1,16,1,9,1,13,1,9,2,11,2,8,1,28,4,24,1,9,1,13,1,29,1,13,1,7,1,13,1,8,1,13,1,9,3,28,19,30,1,24,1,9,1,12,1,13,1,7,1,26,2,27,1,25,3,13,1,12,1,17,1,16,1,17,2,16,3,17,1,16,1,17,1,16,1,17,1,6,1,28,1,11,1,13,2,28,4,6,1,9,2,13,2,8,1,13,1,8,1,9,1,13,1,9,2,30,6,6,1,30,1,6,4,30,2,28,1,30,1,6,1,13,2,6,2,7,1,6,1,30,2,28,1,29,1,6,1,28,1,6,1,30,1,6,2,30,1,13,1,6,4,30,1,28,1,6,1,30,2,29,1,30,2,6,1,30,1,6,2,29,1,30,1,6,1,29,1,28,2,30,1,6,1,7,1,6,2,30,8,29,1,30,1,6,1,30,1,6,1,30,1,29,1,30,7,6,1,30,1,28,1,6,1,30,3,6,1,30,1,28,1,30,3,6,1,30,3,6,1,30,2,7,1,30,2,13,1,30,2,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,4,29,3,30,4,28,1,13,1,30,3,6,1,29,1,28,1,6,1,30,1,29,1,28,1,6,2,30,2,6,1,28,1,6,1,30,1,29,1,30,2,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,4,6,1,30,1,6,1,29,1,30,6,6,1,28,2,30,4,28,1,30,1,6,2,30,2,28,1,6,1,30,5,28,1,30,2,28,1,13,1,30,7,6,2,30,2,6,3,29,1,30,1,6,1,30,3,6,1,30,3,6,1,29,1,28,1,30,1,6,1,30,2,29,1,30,1,6,4,30,1,6,1,30,1,6,2,30,1,13,1,6,1,7,1,6,3,30,1,13,1,6,2,13,1,30,1,6,1,7,1,29,1,28,1,6,4,29,1,6,1,30,1,6,1,30,2,6,1,30,2,6,2,29,1,30,1,6,4,30,1,7,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,2,6,1,30,1,7,1,6,1,30,1,6,2,30,1,28,1,6,1,30,3,28,2,30,5,6,1,30,1,28,1,30,2,13,1,9,1,8,1,6,2,9,1,17,1,7,1,10,1,8,1,12,2,17,1,10,1,17,3,28,1,7,1,6,1,30,4,28,6,7,1,28,9,12,2,13,1,11,1,17,1,10,1,8,1,6,2,28,10,6,2,24,1,6,1,24,2,13,1,8,1,30,1,28,27,7,1,24,1,9,2,11,1,16,1,11,1,17,1,16,1,11,1,12,1,11,2,17,1,10,1,12,2,10,1,11,1,16,2,10,1,9,2,13,2,29,1,30,1,28,7,29,1,28,1,6,1,29,1,8,1,28,1,30,1,28,7,17,1,9,1,10,1,9,1,17,1,9,1,10,1,11,2,9,1,10,1,9,1,12,2,11,1,10,1,9,1,11,1,10,2,9,1,17,1,9,1,10,2,9,2,10,1,8,2,9,1,10,4,9,1,12,1,24,2,11,1,10,1,8,1,10,2,9,1,11,1,17,1,9,2,12,1,8,1,13,2,8,1,12,1,10,1,13,1,24,1,8,1,24,1,8,1,25,1,8,1,26,1,27,1,24,1,28,1,25,1,30,2,29,1,7,2,29,1,30,1,26,1,25,1,26,1,30,2,29,2,30,2,6,1,7,1,6,2,29,1,28,1,6,1,28,1,29,2,30,1,28,1,29,1,28,1,6,1,26,3,28,1,30,1,28,1,30,1,27,1,8,1,29,2,27,2,26,1,30,1,28,1,26,1,28,1,25,1,30,1,27,1,29,1,30,1,28,1,26,1,30,1,27,1,6,1,27,1,30,1,26,1,6,1,30,1,6,1,27,1,6,1,27,1,29,1,27,1,25,2,8,1,26,1,25,1,24,1,25,1,24,1,8,1,24,1,10,3,17,1,9,1,12,1,10,1,24,1,10,1,8,4,24,1,25,1,8,1,25,1,24,1,10,1,13,1,7,1,17,1,9,1,12,1,24,2,17,1,10,2,24,1,12,2,10,1,24,3,10,1,8,1,24,2,17,4,12,1,8,1,12,2,24,1,10,1,24,1,17,1,12,1,10,1,12,2,10,4,24,1,7,1,28,39,13,1,17,4,12,1,9,1,17,1,10,1,9,1,24,1,8,1,12,1,24,4,12,1,8,2,24,1,9,2,12,1,9,1,17,1,24,1,10,1,12,1,9,1,13,1,8,1,10,1,12,1,13,1,10,1,12,1,24,1,13,1,8,1,24,1,10,1,12,1,10,1,8,1,9,2,10,1,12,1,17,1,24,1,17,1,12,1,10,1,12,2,10,1,24,1,12,1,10,1,12,1,10,1,24,1,9,1,17,1,10,1,9,1,24,1,13,1,12,1,10,1,12,1,24,1,10,3,12,2,8,2,12,2,9,1,10,1,12,1,24,2,9,1,13,2,24,1,12,1,24,1,12,1,17,1,10,1,12,1,17,2,10,1,12,1,17,2,9,1,17,3,12,1,17,11,28,12,30,1,13,1,28,8,7,1,6,1,28,26,29,1,8,1,13,1,8,1,13,1,8,1,13,1,7,1,13,3,9,2,10,1,13,1,9,1,10,1,12,1,10,1,12,2,9,1,12,1,8,2,9,1,11,1,17,3,9,1,8,1,9,1,13,2,9,1,13,4,8,1,13,1,8,2,13,1,8,1,6,1,13,1,9,1,13,1,9,2,13,3,7,1,6,1,13,2,6,1,13,1,30,1,9,2,13,1,9,1,8,1,9,1,13,2,6,1,30,2,28,169,30,1,28,15,6,1,17,1,12,1,17,1,9,1,17,1,8,1,13,1,30,1,7,1,29,1,30,1,6,1,29,1,30,1,28,1,6,2,8,1,7,1,13,3,24,1,9,5,28,8,13,1,8,1,13,1,6,1,29,1,28,35,6,1,15,1,8,1,30,1,28,2,13,1,24,3,8,1,29,1,28,4,30,1,13,1,24,1,9,1,8,2,6,1,28,5,13,1,11,1,13,1,28,2,30,1,28,1,29,1,8,1,7,1,13,1,24,1,11,1,10,2,15,1,8,1,29,1,30,1,28,1,13,1,15,1,12,1,24,1,6,1,28,3,7,1,13,2,28,50,29,1,17,1,}, {13,3,11,1,9,1,13,1,8,1,13,1,6,1,13,1,6,1,13,1,30,1,7,1,6,1,7,1,6,1,11,1,9,1,8,1,9,2,13,1,9,1,6,1,30,2,28,2,6,2,7,2,13,3,16,1,12,1,17,7,8,1,6,2,28,4,29,1,7,1,13,1,10,1,8,1,30,1,28,5,13,1,10,1,8,3,30,1,6,1,28,9,13,1,8,1,7,1,28,44,30,1,29,1,30,1,7,1,6,2,24,1,8,1,24,1,30,1,6,1,13,1,6,1,24,1,17,1,9,1,13,2,8,2,7,1,30,1,13,1,6,3,28,6,6,1,30,1,6,1,24,1,8,1,29,1,30,1,28,4,6,1,12,1,10,1,9,1,8,1,7,1,6,2,13,3,24,1,13,1,9,1,8,1,10,1,17,1,8,1,6,2,29,1,30,1,29,1,9,1,28,34,30,1,29,2,6,2,8,1,9,1,24,1,6,1,28,3,6,1,7,1,9,1,10,1,24,1,9,2,24,1,13,1,29,1,13,1,7,1,30,1,8,1,7,1,6,1,28,1,30,1,6,1,29,1,6,1,13,1,7,1,6,2,8,1,10,1,12,1,15,1,10,1,17,2,14,1,13,1,28,15,6,3,30,1,6,1,28,1,30,1,28,2,30,3,28,4,6,1,28,1,6,1,9,1,30,1,8,1,13,1,8,1,13,2,9,2,13,1,9,3,13,1,8,1,10,3,11,2,10,1,9,2,10,1,11,2,17,1,10,1,11,6,17,2,16,3,11,1,17,1,9,1,17,1,16,2,11,1,17,1,16,1,11,2,9,1,16,2,9,1,17,1,11,1,16,1,17,1,16,2,9,1,17,1,11,1,16,2,17,1,11,2,17,1,11,2,17,3,11,1,17,2,16,1,9,2,11,1,9,1,16,1,11,1,17,1,16,1,17,1,9,1,11,1,16,2,17,1,11,2,9,1,11,2,17,1,11,1,16,1,17,1,16,3,11,1,17,4,16,1,17,4,11,1,16,2,9,1,17,1,11,1,10,1,9,1,13,1,6,1,7,1,13,1,8,1,13,5,9,1,13,1,10,1,11,2,12,3,11,1,28,1,6,1,28,1,7,1,30,1,28,2,13,1,6,2,30,1,13,1,6,1,30,1,6,2,7,1,6,1,28,1,29,1,6,1,28,1,6,1,8,1,6,1,13,2,7,1,13,1,8,3,13,1,8,2,9,1,11,1,6,1,8,2,12,1,9,1,11,2,17,3,11,1,9,1,16,2,11,2,16,1,9,1,11,1,16,1,11,1,9,1,11,2,9,3,10,1,11,1,9,3,8,1,9,3,8,1,9,2,11,1,13,1,9,6,13,1,9,5,8,1,9,3,17,1,9,2,11,4,9,1,16,1,9,1,12,1,11,1,9,1,11,4,10,1,9,1,16,1,11,1,9,1,11,1,9,1,16,1,9,1,11,2,10,1,11,5,10,2,8,1,10,1,9,1,17,1,9,1,24,1,8,1,13,3,8,1,7,2,6,1,7,1,29,1,30,1,6,2,30,1,6,1,29,1,28,1,29,2,30,1,28,4,30,1,28,1,30,1,28,2,6,1,29,1,8,1,17,7,16,1,17,2,16,1,17,1,16,3,9,2,17,1,9,1,13,1,29,1,13,1,8,1,13,1,6,1,7,1,30,1,7,1,30,1,6,1,29,1,30,2,28,4,30,1,28,9,30,1,28,2,30,1,28,1,30,1,28,2,6,2,28,1,30,1,28,13,29,1,30,1,28,2,30,1,29,1,30,1,29,1,28,5,6,1,29,1,28,1,30,1,6,1,29,2,6,1,8,1,9,2,17,10,11,1,16,1,9,2,10,1,11,1,16,1,11,2,16,1,9,1,16,3,17,2,11,1,17,7,11,1,17,14,16,1,17,5,16,1,17,1,11,1,16,1,11,1,12,1,9,2,8,1,9,1,8,1,13,2,6,2,7,3,6,1,7,1,30,1,6,3,29,3,28,1,29,2,28,28,13,2,6,1,30,1,13,3,8,1,7,2,13,2,8,1,13,1,9,1,8,1,13,2,7,1,30,1,13,1,28,1,30,1,28,1,29,1,30,1,29,1,6,1,28,1,30,1,28,1,30,2,28,1,29,1,28,2,30,1,28,2,30,1,28,3,29,1,30,1,29,2,7,1,9,1,13,1,8,1,7,1,13,1,8,1,6,1,30,1,29,1,30,1,28,1,6,1,29,1,6,2,7,1,8,1,6,1,13,1,7,1,30,1,7,1,29,1,30,3,29,1,30,3,28,1,30,1,28,3,30,1,28,2,6,1,28,4,30,1,9,1,17,1,16,1,17,1,9,3,13,1,29,1,6,1,30,1,28,6,6,1,29,1,13,1,6,1,7,1,13,1,9,1,13,1,6,1,28,3,17,2,11,1,6,2,13,1,30,1,28,5,6,1,8,1,12,3,9,1,6,1,30,1,28,16,30,1,11,1,10,1,9,4,8,1,9,1,17,1,9,1,13,1,28,3,6,1,8,1,9,1,13,1,6,2,29,1,6,1,13,1,9,2,8,1,28,18,6,1,9,2,24,2,13,1,6,1,26,1,25,2,24,1,26,1,8,1,17,5,16,4,17,1,16,3,17,1,28,2,9,1,13,1,9,1,28,3,30,1,13,2,9,1,13,1,9,1,8,1,13,2,9,1,13,1,16,1,9,1,28,1,6,1,30,3,6,1,29,1,6,1,30,1,6,1,13,1,6,2,30,1,13,4,6,1,30,1,7,1,6,1,30,3,6,1,30,1,6,1,30,2,6,1,30,1,29,1,6,3,29,1,6,1,30,2,6,1,30,1,29,1,6,3,29,2,30,1,29,1,28,1,29,1,6,1,7,1,28,1,6,1,30,1,7,1,30,1,13,1,6,1,29,1,30,2,28,1,30,2,6,3,30,2,6,1,30,1,29,1,30,1,6,1,30,1,28,1,30,3,29,1,30,3,28,2,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,8,6,2,30,1,6,1,30,4,29,1,6,1,30,4,29,1,30,1,6,1,30,1,6,1,28,1,6,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,7,1,29,1,28,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,2,28,1,30,1,29,1,28,1,6,1,30,1,6,2,30,2,29,1,6,1,30,2,29,1,30,1,6,2,28,1,29,1,30,1,28,1,6,3,28,1,30,3,6,1,30,11,28,1,30,6,6,1,30,1,6,1,28,1,6,1,30,9,29,1,30,2,28,1,30,1,6,1,30,2,6,1,30,2,6,1,30,3,28,1,7,1,30,7,29,1,30,1,28,1,30,1,6,3,30,1,6,1,30,1,29,1,6,1,13,1,30,1,6,3,13,1,28,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,29,1,6,4,29,1,30,4,6,1,30,1,6,1,30,2,6,3,29,1,30,2,6,4,30,2,6,1,28,1,30,7,6,3,30,1,29,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,6,2,30,1,13,1,9,1,13,1,6,1,8,1,9,1,7,1,10,1,9,2,24,1,17,1,10,1,12,1,17,1,13,1,30,1,6,2,30,1,29,1,30,2,29,1,6,1,28,14,29,1,17,1,13,1,17,1,12,1,10,1,8,1,7,1,28,9,30,1,6,3,8,1,13,1,7,2,30,1,28,20,30,1,28,1,30,1,28,6,13,1,9,2,10,1,9,1,11,1,9,1,11,2,12,1,9,2,11,3,10,1,11,1,10,1,12,1,11,2,12,1,16,1,12,1,9,2,8,2,29,1,28,4,30,1,13,1,6,1,8,1,13,1,7,1,8,2,6,1,30,1,28,6,17,1,9,1,11,1,12,1,9,1,11,1,9,2,11,1,9,1,11,1,10,1,11,1,9,1,12,1,10,1,9,1,11,1,12,1,17,1,9,1,11,2,10,2,9,2,12,1,11,1,10,2,8,1,10,1,11,2,24,1,9,1,10,1,9,1,12,1,9,1,24,1,13,1,24,2,9,3,12,1,9,1,11,1,9,1,24,1,13,1,24,1,8,1,10,1,8,1,24,1,25,1,8,1,26,1,24,1,30,1,8,1,24,1,6,2,25,1,6,1,29,1,25,1,13,1,28,1,7,1,26,1,30,1,27,1,25,1,29,1,28,1,30,1,28,1,6,2,28,1,7,1,6,1,28,1,6,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,26,1,28,1,26,1,25,1,29,1,8,1,25,1,6,1,8,1,25,1,29,1,25,1,28,1,29,1,27,1,26,1,29,2,27,1,30,2,27,1,25,1,28,1,6,2,27,1,25,1,28,1,6,1,7,1,29,1,30,1,6,1,29,2,6,1,29,1,25,2,27,1,25,1,27,1,24,1,25,1,24,4,17,1,12,1,10,1,12,2,10,1,12,1,9,1,12,1,9,1,12,1,10,1,12,1,25,1,24,4,8,1,10,1,13,1,24,1,12,1,10,1,24,2,9,1,12,1,24,1,17,1,10,1,24,1,17,1,24,2,8,2,24,2,17,1,24,1,17,2,10,2,24,1,8,1,24,1,13,1,10,1,9,1,24,1,10,1,12,2,10,2,24,1,17,1,12,1,10,1,24,1,8,1,28,38,6,1,11,1,17,4,24,2,12,1,24,2,10,1,8,3,24,1,8,1,24,1,10,1,8,1,10,1,12,2,10,1,8,1,12,1,13,1,12,1,10,1,8,2,12,1,24,1,8,1,10,1,24,1,8,1,12,1,24,1,10,1,12,1,24,1,7,1,24,1,9,1,12,1,8,1,12,1,10,1,12,1,24,2,12,2,10,1,17,1,12,2,17,1,12,1,24,1,12,1,10,1,12,3,9,1,12,1,24,1,12,1,24,1,12,1,24,1,8,1,10,1,9,1,24,2,17,1,12,1,10,1,17,1,12,4,17,1,11,1,10,1,17,1,9,1,24,1,9,1,12,1,10,1,17,3,10,1,11,1,12,1,17,1,12,4,17,6,12,1,17,6,12,1,28,12,6,2,28,7,30,1,13,1,28,27,13,1,9,1,13,1,24,1,13,3,8,1,7,1,13,1,7,1,8,2,13,1,9,3,10,1,17,1,12,1,9,1,17,1,11,1,8,1,9,1,13,1,17,5,13,1,9,1,13,24,6,1,13,1,6,1,13,3,9,1,8,1,9,2,13,3,6,3,28,185,8,1,15,1,17,1,11,1,9,1,8,1,13,2,30,1,6,2,28,1,7,1,6,1,30,2,6,1,28,1,7,1,13,2,8,1,13,1,8,1,10,1,9,1,8,2,9,1,6,1,28,7,6,1,8,3,30,1,28,35,13,1,9,1,13,1,30,1,28,2,13,1,8,1,24,1,8,1,13,1,6,1,28,4,6,1,7,1,8,1,24,2,10,1,29,1,28,5,8,1,9,1,8,1,28,3,6,2,8,2,24,1,9,1,10,1,9,1,10,1,15,1,13,2,28,2,13,1,11,1,17,1,24,1,29,1,28,3,7,1,8,1,13,1,28,50,30,1,11,1,}, {13,1,7,1,9,1,8,1,9,1,8,1,17,1,9,3,13,1,6,1,8,1,6,1,7,1,6,1,7,2,13,1,9,2,8,1,10,1,9,1,6,1,28,3,30,1,28,1,30,1,6,1,13,1,8,1,24,3,16,1,17,7,8,1,13,1,7,1,30,2,28,2,7,1,6,1,8,1,13,1,9,1,28,6,6,1,8,1,13,2,29,1,28,1,30,1,28,8,30,1,13,1,9,1,7,1,28,44,6,2,30,1,6,1,29,1,6,1,13,1,12,1,30,2,6,1,7,1,28,1,9,1,17,1,11,1,6,1,13,1,6,1,13,1,6,1,7,2,29,1,30,3,28,2,30,1,28,1,30,1,6,1,28,1,13,2,11,1,8,1,28,2,30,1,28,2,29,1,17,1,12,1,8,2,9,1,7,1,6,1,13,3,24,1,8,1,9,1,12,1,8,1,10,1,9,1,6,1,28,1,6,1,30,1,6,1,9,1,28,34,30,2,29,1,30,1,6,2,12,1,24,1,29,1,28,1,30,1,28,1,6,1,29,1,11,1,10,1,8,3,13,1,6,1,7,1,6,1,7,1,28,1,6,2,29,1,6,1,30,1,29,1,30,1,28,1,30,1,6,2,8,1,24,1,12,1,8,1,9,1,10,1,11,1,17,1,14,1,10,1,28,15,6,3,29,1,28,2,30,1,28,3,30,1,28,4,30,1,28,1,30,1,6,1,13,1,7,1,8,1,6,1,8,2,9,1,13,1,10,1,13,1,9,4,11,1,9,1,11,2,16,1,9,1,10,1,11,1,10,1,9,1,17,1,16,1,10,1,16,1,17,5,16,1,11,1,16,1,11,1,9,1,17,1,11,1,17,1,16,1,11,1,16,1,17,2,11,1,16,2,17,1,11,1,16,2,17,1,11,2,16,1,11,1,17,3,16,1,9,1,16,1,9,1,11,3,17,1,16,2,11,1,17,1,16,1,11,1,17,1,11,1,13,1,17,3,11,1,17,2,11,1,17,1,11,1,16,1,10,1,17,1,9,1,16,2,11,1,9,1,17,1,11,1,16,1,11,3,17,1,11,1,17,1,16,1,17,5,16,1,17,1,10,1,9,1,17,1,16,1,11,2,9,2,17,1,9,1,8,1,13,4,9,1,8,2,13,3,9,1,11,1,9,1,11,2,10,1,9,1,8,1,29,3,6,1,30,1,6,1,7,1,30,1,29,1,6,2,7,1,6,2,13,1,30,2,13,3,7,2,13,1,9,1,8,1,13,1,8,3,6,2,13,2,9,1,7,1,13,1,9,1,8,1,9,1,12,1,16,1,11,1,9,1,11,1,17,2,11,1,16,1,9,1,16,1,11,2,16,1,11,1,10,1,16,1,9,1,16,1,9,1,11,3,9,3,10,1,9,3,8,1,9,2,8,1,11,1,9,1,13,1,11,1,13,1,9,2,8,1,9,2,13,1,8,2,9,1,8,1,9,4,10,1,9,1,11,1,10,1,11,2,10,2,8,1,9,2,11,1,9,1,11,2,13,1,11,1,9,4,16,1,11,1,9,2,16,1,11,2,9,1,16,1,9,1,16,1,11,2,10,1,9,1,10,1,9,2,16,2,8,1,9,1,13,2,8,1,13,1,7,1,13,1,30,1,7,1,6,4,30,1,28,2,29,1,30,1,28,8,30,1,28,2,30,1,28,1,30,1,28,1,13,1,17,8,12,1,16,1,17,1,11,2,16,1,12,1,9,1,11,1,9,1,10,1,9,2,13,1,8,1,13,1,6,1,24,1,29,1,30,1,29,1,6,1,28,1,30,2,28,4,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,4,30,3,28,6,30,1,28,4,6,1,28,1,6,1,30,1,29,1,28,2,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,29,1,28,2,30,1,28,1,30,1,6,1,9,2,17,19,16,1,17,3,16,1,11,1,17,13,11,1,16,1,17,7,16,1,17,10,16,2,9,2,13,1,9,2,8,1,24,1,13,3,8,1,7,3,6,3,30,1,6,2,29,1,28,1,30,1,29,1,28,1,30,1,28,27,8,1,13,1,6,1,7,1,29,1,7,1,13,1,6,1,29,1,6,2,13,2,6,2,24,1,9,1,7,1,6,1,30,1,6,1,30,1,7,1,30,1,29,1,6,1,28,1,30,1,28,9,30,1,28,3,30,1,28,3,30,1,7,1,29,1,28,1,13,2,8,1,13,1,8,1,24,1,8,1,7,1,28,2,6,1,29,3,7,1,13,1,8,1,7,1,24,1,13,1,30,1,7,1,6,1,13,1,28,1,30,1,6,1,29,1,30,1,29,1,30,1,29,1,28,1,30,1,28,1,29,2,28,2,30,1,28,1,30,1,6,1,11,1,17,4,12,1,8,1,9,1,13,1,6,1,7,1,28,6,29,1,6,2,29,1,13,2,29,1,8,1,9,1,6,1,28,2,30,1,10,1,17,1,9,1,12,1,24,1,13,1,7,1,28,3,30,1,28,1,30,1,9,1,12,2,9,1,8,1,30,1,28,15,30,1,29,1,8,2,24,1,9,3,16,2,11,1,17,2,7,1,28,3,7,1,13,1,9,1,13,1,7,1,6,1,28,1,6,1,7,1,8,1,11,1,9,1,13,1,30,1,28,14,8,1,9,1,24,1,9,1,8,1,12,1,8,1,13,1,24,2,25,1,24,1,8,2,17,6,16,4,17,1,16,1,17,3,13,1,28,1,13,1,9,2,6,1,28,3,13,1,9,1,13,3,9,1,13,1,8,2,9,1,16,1,13,1,28,1,30,1,6,1,30,5,6,1,7,1,6,2,30,1,6,4,17,1,13,1,7,2,30,1,6,1,30,3,6,1,30,1,28,1,30,3,6,1,30,1,6,4,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,4,6,4,13,3,6,2,13,1,7,1,29,1,30,3,28,1,30,5,6,1,30,2,28,1,30,2,29,1,30,1,6,1,30,3,28,1,30,2,6,1,29,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,4,6,1,29,1,6,1,28,1,30,2,6,2,30,1,6,2,30,9,13,1,8,1,6,1,28,1,30,1,28,1,6,2,30,2,6,2,30,1,6,1,29,1,6,2,30,1,6,1,30,3,6,1,30,1,6,6,13,1,6,3,30,2,13,1,6,1,30,1,6,2,30,1,28,1,30,1,6,1,28,1,6,1,30,3,29,1,28,2,30,2,6,1,30,2,6,1,30,2,29,1,28,2,30,3,6,1,30,1,6,1,28,2,30,1,28,1,30,5,6,1,28,1,30,2,28,1,6,1,30,4,29,1,30,1,28,1,30,4,6,2,30,3,29,1,30,2,6,3,30,1,6,1,30,1,6,1,30,1,7,1,13,1,6,1,30,1,13,1,6,1,13,1,6,3,13,1,29,1,30,1,13,1,6,2,13,1,6,2,7,1,6,1,30,1,29,1,6,2,30,1,6,3,30,1,6,1,30,1,6,1,30,1,6,2,30,3,6,1,30,12,28,2,30,3,28,1,30,1,28,1,30,1,28,3,30,1,6,1,30,5,28,1,30,1,6,3,8,1,13,2,6,1,8,1,7,1,6,1,8,1,9,2,24,1,12,1,10,1,17,1,9,1,29,1,28,1,30,1,6,1,30,1,28,2,30,2,28,6,30,1,28,9,17,1,10,1,17,1,12,1,9,1,13,1,30,1,28,9,6,1,13,1,8,1,24,1,6,1,30,1,28,32,6,1,9,1,11,1,9,1,10,1,9,2,10,1,9,1,11,2,8,1,10,1,11,1,9,2,16,1,10,1,9,1,10,2,11,2,16,1,11,1,16,1,11,1,13,2,30,1,28,2,6,1,13,1,9,1,8,3,24,1,9,1,24,1,13,1,29,1,30,1,28,3,30,1,8,1,10,1,11,1,9,1,11,1,9,2,11,1,24,1,9,1,12,1,9,1,11,1,10,3,11,1,12,1,10,1,9,1,10,1,9,1,11,2,9,1,11,1,9,1,10,1,11,1,10,1,9,3,11,1,10,1,9,2,10,1,9,1,10,1,24,1,9,1,24,5,11,2,9,2,10,1,12,1,13,1,11,1,9,1,7,1,12,1,10,1,8,1,13,1,24,1,8,1,24,2,8,2,25,2,6,1,26,1,6,1,29,1,6,2,7,1,25,1,30,1,29,1,27,1,29,1,28,1,27,1,30,1,28,3,26,1,29,1,28,3,29,1,28,1,30,2,27,1,28,2,30,2,29,1,27,1,29,1,25,1,29,1,8,1,27,2,25,1,27,1,29,1,27,2,6,1,28,1,26,2,29,1,6,1,29,1,27,1,29,1,27,1,6,1,29,1,25,1,30,1,28,1,30,1,6,1,28,1,8,1,28,1,27,2,6,1,29,1,24,1,25,1,8,1,7,1,8,1,13,2,10,2,24,1,12,1,24,1,12,1,24,1,10,2,12,1,10,1,24,2,12,1,7,1,8,1,24,1,8,3,24,1,8,1,24,1,12,4,24,1,8,1,10,1,8,2,24,1,10,1,7,1,12,1,10,1,8,1,12,1,13,2,24,1,10,2,12,1,24,1,12,1,17,1,12,2,10,1,12,1,10,1,24,3,10,1,12,2,10,2,12,1,10,2,9,1,8,1,28,38,30,1,12,1,17,1,12,1,17,2,10,1,12,1,8,1,24,5,13,1,12,1,24,2,8,2,24,1,10,1,24,1,10,1,9,1,10,3,9,1,8,1,24,1,13,1,8,1,24,2,9,1,6,1,8,2,13,2,10,1,8,1,10,1,12,2,17,1,24,1,12,2,17,1,12,1,10,1,17,1,12,2,17,1,24,1,17,1,12,3,10,2,17,1,12,1,9,2,10,3,12,1,10,1,17,1,10,1,7,1,24,1,12,3,17,1,12,1,17,2,10,2,17,1,9,1,17,1,12,1,10,1,12,1,24,1,10,1,12,1,17,3,12,1,17,2,10,1,17,1,12,1,17,10,12,1,17,4,11,1,28,11,6,1,9,1,30,1,28,6,30,1,29,2,28,27,13,1,9,1,13,7,6,1,8,1,24,1,11,1,10,1,24,1,10,1,24,2,12,3,17,1,11,1,9,1,8,2,10,1,17,4,13,3,8,1,7,1,13,2,6,1,13,5,8,1,13,5,8,1,13,1,9,1,13,1,6,1,7,2,6,1,30,1,7,2,13,3,9,1,13,1,9,1,13,2,6,1,7,1,6,1,30,1,28,144,30,1,29,1,28,13,30,1,28,13,6,1,29,1,28,10,8,1,17,2,9,1,10,2,8,2,29,1,30,1,6,1,30,1,29,1,6,5,28,1,6,2,13,2,8,1,24,1,9,2,12,1,24,1,30,1,28,7,13,1,24,1,8,1,13,1,6,1,28,35,13,1,8,1,13,1,28,3,6,1,24,2,7,1,13,1,28,5,6,1,7,1,24,1,8,1,9,1,13,1,6,1,28,5,13,1,9,1,8,1,28,2,30,1,6,1,29,1,13,2,8,1,12,1,10,1,12,1,15,2,9,1,6,1,29,2,8,2,12,1,9,1,6,1,28,2,29,1,6,1,13,1,6,1,28,50,30,1,14,1,}, {7,1,11,1,9,1,10,1,8,1,13,1,11,1,9,3,8,1,13,1,7,1,6,3,13,1,6,3,9,1,8,2,9,2,8,1,30,1,6,2,28,3,6,1,7,1,6,1,8,1,13,1,8,1,9,1,17,5,10,1,8,1,13,1,6,1,30,1,6,1,28,2,30,1,7,1,13,1,12,1,7,1,6,1,28,5,7,1,6,1,13,2,28,1,30,1,28,1,30,1,28,8,29,1,24,1,13,1,28,44,30,2,6,1,28,1,6,1,9,1,17,2,30,1,6,1,28,1,6,2,13,1,12,1,9,1,6,1,13,1,6,1,7,1,30,1,7,1,13,1,6,1,28,1,30,1,28,2,30,1,28,4,29,1,13,1,8,1,24,1,6,1,29,1,6,1,28,3,8,1,12,1,11,1,9,1,8,1,13,1,6,1,7,1,8,1,13,1,8,1,24,1,11,1,24,1,8,2,17,1,10,1,29,1,6,1,29,2,6,1,29,1,28,36,6,2,30,1,6,1,8,1,15,1,28,1,30,1,28,3,13,1,9,1,15,1,9,2,24,2,6,4,13,1,6,3,28,1,29,1,30,1,28,2,30,1,28,1,13,1,6,1,8,1,9,1,8,1,9,1,11,1,10,1,17,2,6,1,28,9,30,1,28,1,30,1,28,3,30,1,6,1,13,1,6,1,7,1,6,1,28,1,29,1,30,1,6,1,28,1,13,1,28,1,6,1,30,2,28,2,6,1,13,2,9,1,13,1,8,4,10,1,9,1,8,1,9,3,16,1,9,1,17,1,9,1,17,1,9,1,11,1,17,1,11,2,16,1,17,1,16,1,17,4,16,1,11,2,16,1,11,6,16,1,17,2,16,2,11,1,17,3,9,1,16,1,11,1,16,1,11,1,17,1,11,1,16,3,17,1,10,1,17,1,9,1,11,1,16,2,17,2,16,1,9,1,17,2,16,1,17,1,11,1,17,1,11,2,9,1,16,1,17,1,16,1,12,1,11,1,17,1,11,1,16,1,17,2,16,1,10,1,11,1,17,2,16,1,17,2,9,1,16,1,11,1,17,1,11,1,16,2,11,1,17,7,9,1,17,1,16,2,11,1,17,1,9,1,11,1,8,1,13,2,7,1,8,2,9,1,13,1,6,1,8,1,9,2,11,1,9,1,16,1,9,1,17,1,8,1,9,1,10,1,6,1,30,1,29,2,30,1,7,1,6,1,13,1,6,1,7,1,6,1,30,1,6,2,29,2,6,1,7,1,29,1,8,1,13,1,8,2,13,1,8,1,6,1,13,4,9,1,8,6,9,1,11,1,9,1,11,1,10,2,17,2,11,2,9,1,16,1,11,2,9,1,16,2,11,2,9,1,11,1,9,1,11,3,9,2,11,1,8,1,11,1,9,4,11,1,13,1,9,1,8,1,9,3,11,1,9,2,10,1,9,3,10,1,9,1,8,1,11,1,9,1,11,1,9,1,11,1,9,3,11,2,9,4,16,1,9,1,11,1,9,2,11,1,12,1,17,1,11,1,9,2,11,1,16,1,11,1,9,1,16,1,9,1,11,1,10,1,9,2,16,1,11,1,16,1,9,1,11,1,9,2,8,1,16,1,9,1,8,1,24,1,9,1,13,1,8,1,13,1,7,1,29,1,7,2,28,1,7,1,28,1,29,2,30,1,29,1,28,2,30,1,28,13,30,1,8,1,17,6,11,1,17,2,16,1,17,1,9,1,17,1,16,2,9,1,11,1,9,1,17,1,24,1,8,1,24,2,13,1,7,1,13,1,29,1,13,1,7,1,6,2,30,3,28,1,30,1,28,11,30,1,28,3,30,1,28,2,6,1,28,1,6,1,28,2,29,2,30,2,28,9,29,2,28,1,6,1,29,1,28,1,29,1,28,2,29,1,28,1,30,1,28,1,29,1,28,2,30,2,6,1,28,1,8,1,29,1,13,1,9,1,12,1,17,43,16,1,17,2,16,1,17,4,16,1,17,5,11,1,17,2,11,1,9,2,8,1,13,3,6,2,13,1,30,1,13,1,30,1,13,1,29,1,30,1,6,1,28,3,29,1,28,1,30,1,28,1,30,1,28,27,6,1,24,1,6,1,30,1,6,1,13,1,30,1,6,1,28,1,6,1,13,3,7,1,6,1,13,1,30,1,29,1,6,1,28,1,6,1,30,2,29,1,28,2,30,1,28,18,6,1,28,1,6,3,9,1,13,1,9,1,8,2,13,1,7,1,6,1,30,1,28,2,6,1,28,1,30,1,29,1,8,1,13,1,8,2,6,3,13,1,6,2,29,1,28,1,30,1,29,1,6,1,30,1,6,1,28,1,29,1,28,2,29,1,28,1,29,1,13,1,9,1,12,1,16,2,17,3,16,1,9,3,13,1,6,1,30,2,6,2,13,4,6,1,13,2,6,1,30,1,13,2,8,1,7,3,13,1,9,1,17,3,10,1,13,1,24,1,6,1,29,1,30,2,28,1,8,1,17,1,10,1,8,1,6,1,28,19,7,2,12,1,11,1,17,6,9,1,28,3,29,1,24,1,11,1,9,1,29,1,30,1,6,1,30,3,6,1,13,2,6,1,28,11,13,1,9,1,11,2,9,2,17,1,24,1,9,1,13,1,24,1,8,2,24,1,8,1,12,1,10,1,12,1,17,5,16,4,17,1,16,1,17,3,9,1,28,1,9,3,6,1,28,2,30,1,13,2,9,2,13,2,9,1,13,2,11,1,16,1,6,3,30,1,6,1,28,2,30,3,6,1,13,1,6,1,30,2,7,1,6,1,8,1,9,1,13,1,6,4,30,3,6,3,29,1,30,2,6,1,30,1,6,3,29,1,28,1,30,4,28,1,6,1,30,2,6,1,30,1,28,1,6,1,29,1,13,1,7,1,6,1,13,4,6,1,30,1,6,1,28,1,6,1,30,1,6,1,30,2,6,1,30,2,29,1,28,1,6,1,30,11,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,2,30,1,6,1,29,1,30,1,6,2,30,1,6,1,30,1,6,2,30,1,6,2,30,1,6,1,29,2,30,1,6,1,30,2,6,3,30,1,6,4,30,1,28,1,29,1,6,1,30,2,9,1,6,2,29,1,6,1,28,1,29,1,30,7,28,1,30,1,6,1,30,3,13,1,6,1,30,1,6,3,30,1,6,2,29,1,13,1,30,2,6,2,30,1,6,2,29,1,30,2,6,2,30,1,6,1,30,1,6,1,28,1,30,3,28,1,6,1,30,5,6,1,30,1,28,1,30,1,6,1,30,2,28,1,30,2,6,2,29,1,30,4,28,1,30,1,28,2,30,2,28,1,30,5,28,1,6,1,30,1,28,1,6,1,28,1,30,3,6,1,30,3,28,1,30,1,6,3,30,1,6,10,13,1,30,1,6,2,29,1,7,1,6,8,30,1,29,1,6,1,29,1,30,3,13,1,30,1,6,4,30,3,6,2,29,1,6,1,30,1,7,1,30,1,6,1,30,2,6,3,30,1,6,1,30,2,6,1,30,2,6,1,30,2,28,1,30,1,6,1,30,1,6,1,30,2,6,1,28,1,6,1,30,6,28,1,6,2,13,2,8,1,6,1,8,1,13,1,6,1,30,1,9,1,12,1,10,2,12,2,29,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,5,30,1,28,8,17,1,9,1,12,1,17,1,13,1,10,1,28,4,30,1,28,3,6,1,30,1,6,1,8,1,7,1,28,35,30,1,13,1,9,2,10,1,9,2,11,1,9,2,12,1,10,3,9,1,10,1,11,1,9,1,11,1,9,1,16,1,11,1,12,2,11,1,9,3,6,1,29,1,6,2,8,2,10,1,13,1,8,1,9,1,12,1,17,1,12,1,10,1,13,1,6,1,13,1,7,1,6,1,29,1,17,1,12,1,9,1,12,1,9,1,10,1,9,1,10,1,11,1,9,1,10,2,11,2,12,1,11,2,12,1,9,1,10,1,12,1,10,2,11,1,8,1,11,1,10,1,9,2,12,1,9,1,10,2,24,2,9,2,24,1,11,1,8,1,9,1,10,1,8,1,11,1,8,1,24,2,9,1,24,1,9,1,17,1,10,2,12,1,11,1,9,1,12,1,8,1,6,1,8,1,24,1,8,1,24,1,7,1,6,1,25,1,6,1,8,1,24,1,25,1,6,1,25,1,29,1,8,1,6,1,7,1,30,1,29,1,27,1,6,1,27,1,25,1,28,1,25,1,28,1,27,1,28,1,6,2,28,1,30,2,29,1,28,1,30,2,29,1,30,2,28,1,30,1,28,1,29,1,27,1,25,1,6,1,25,2,27,1,25,1,28,1,25,1,27,3,28,1,30,1,29,2,28,1,26,1,25,1,28,1,27,1,30,1,27,1,25,1,30,1,25,2,6,1,29,1,6,1,29,1,27,1,29,1,8,1,26,1,25,1,6,1,25,1,24,1,7,1,12,1,8,1,17,1,24,1,10,3,17,1,12,1,17,1,10,2,9,1,12,2,24,2,25,1,24,2,8,1,24,1,8,1,24,1,12,1,17,1,24,1,10,1,24,1,8,1,24,2,10,1,12,2,24,1,8,1,24,1,8,1,24,1,8,1,24,4,10,1,24,2,8,1,12,1,24,1,17,1,8,1,12,1,8,1,12,4,10,1,9,1,24,1,12,1,10,1,12,2,8,1,7,1,30,1,28,35,30,1,28,1,8,1,17,4,11,1,17,1,9,1,8,2,24,1,10,1,8,1,24,2,8,1,13,1,17,1,10,1,24,1,7,1,8,1,10,1,9,1,24,2,17,1,8,1,9,1,24,1,13,1,24,1,8,1,9,1,24,1,8,1,24,1,8,2,24,2,13,1,8,2,9,1,12,1,24,1,10,1,8,1,10,5,17,1,10,1,12,3,10,1,12,2,17,1,9,1,10,1,12,1,24,1,10,5,24,1,8,1,10,1,24,1,12,2,17,1,12,1,9,1,12,4,17,4,24,1,17,1,12,1,10,1,17,1,24,1,10,1,17,6,12,1,17,2,10,1,17,6,12,1,17,6,13,1,28,10,7,1,13,1,6,1,28,7,30,1,6,1,30,1,28,27,13,1,8,1,13,1,9,1,13,1,7,2,8,1,7,2,24,1,9,1,24,2,11,1,10,1,24,3,17,2,11,1,17,1,10,1,13,2,17,5,13,3,29,1,13,2,30,1,6,1,13,5,28,1,6,1,8,1,6,2,13,5,6,2,13,1,6,2,13,2,6,1,13,1,9,1,13,4,6,1,8,1,7,1,6,1,28,1,30,1,28,172,30,1,28,10,30,1,24,1,17,1,16,1,17,1,11,1,12,1,24,1,6,1,29,1,6,1,28,1,6,1,29,1,30,3,28,1,6,1,8,1,6,1,8,1,6,1,7,1,13,2,9,1,24,2,8,1,6,1,28,7,13,1,8,2,13,1,28,36,8,1,24,1,13,1,28,3,7,1,12,1,8,2,7,1,28,4,30,1,6,1,8,1,6,1,9,1,24,1,8,1,6,1,28,4,30,1,8,1,10,1,9,1,28,2,30,1,29,1,28,1,6,1,8,1,9,2,14,1,12,1,14,1,10,1,9,1,13,1,6,1,30,1,13,1,9,1,12,1,13,1,30,1,28,2,30,1,7,1,8,1,13,1,28,50,6,1,16,1,}, {13,1,8,1,9,1,30,1,6,1,29,1,13,1,8,2,29,1,6,1,13,1,7,1,30,1,13,2,30,1,13,1,6,1,29,1,13,1,6,1,8,1,9,3,13,1,8,1,29,1,28,1,29,1,6,1,29,1,6,1,13,3,9,2,17,6,8,2,6,3,29,1,30,1,29,1,13,1,6,1,24,1,9,1,30,1,28,5,30,1,13,1,24,1,13,2,30,1,28,9,30,1,6,1,10,1,15,1,28,46,6,1,13,1,8,1,10,1,8,1,9,1,6,1,28,1,6,1,30,2,9,1,11,1,9,1,28,1,13,1,29,1,13,2,6,2,7,1,30,2,28,1,30,1,28,5,6,1,29,1,13,1,10,1,13,1,30,1,28,1,29,1,30,1,28,1,7,1,9,3,24,1,13,2,7,1,13,1,8,1,24,1,13,1,15,1,12,1,8,1,9,1,15,1,7,1,6,1,13,1,29,1,13,3,28,34,30,1,29,1,30,2,6,1,29,1,9,1,13,1,6,1,28,4,7,1,8,1,15,1,12,1,15,1,8,3,7,1,30,1,13,1,24,1,29,1,7,1,6,1,30,1,28,1,8,1,28,1,29,2,30,1,7,1,6,1,13,1,9,1,24,1,12,1,15,2,17,2,8,1,28,10,30,1,28,4,6,1,13,1,6,3,30,1,29,1,28,1,30,1,28,2,29,1,28,2,30,1,28,1,29,1,28,1,6,1,29,1,13,1,8,1,13,1,9,2,6,1,9,1,13,1,9,2,11,1,16,2,9,1,11,1,16,5,11,2,17,1,9,1,16,1,11,1,17,1,11,2,17,1,16,1,11,1,10,1,16,1,9,1,11,3,17,1,16,1,11,1,16,1,17,4,16,1,11,2,9,1,17,1,9,1,11,1,17,1,9,1,16,4,11,1,16,5,17,4,11,1,17,1,16,1,17,1,10,1,16,2,11,1,13,1,9,1,11,2,17,1,9,1,11,1,17,1,11,1,17,2,11,1,9,1,17,2,16,1,11,1,17,1,9,1,17,1,16,1,11,3,17,1,16,1,17,8,16,2,11,1,9,1,17,1,11,3,9,1,11,1,8,2,13,1,6,1,9,1,7,1,8,1,13,3,8,1,13,1,9,1,17,1,13,1,10,1,9,3,30,2,28,1,6,1,28,1,6,3,13,1,6,1,7,1,6,3,29,2,13,1,6,1,13,2,8,1,13,1,8,2,7,1,13,1,8,1,9,1,8,2,9,1,6,1,9,1,13,1,8,1,13,2,8,1,9,2,11,1,9,2,11,1,10,1,17,1,11,1,16,1,11,1,16,1,11,1,16,1,11,5,16,1,11,3,9,4,11,1,8,1,9,2,13,1,9,1,13,1,9,7,13,1,9,2,8,1,9,3,16,1,9,2,11,2,10,1,9,1,16,1,9,2,11,1,9,1,11,1,9,1,11,1,8,1,9,1,11,1,9,2,16,2,8,1,9,1,8,1,11,2,17,1,9,1,10,1,17,1,9,1,11,1,9,2,10,1,11,1,9,1,11,3,9,1,16,1,9,1,13,1,17,1,9,1,12,1,8,2,9,1,8,1,13,2,8,1,29,1,13,1,6,2,29,1,30,1,28,1,29,1,28,16,29,1,28,1,6,1,13,1,17,5,16,1,17,1,16,1,11,1,17,5,11,1,9,2,11,1,8,1,24,2,7,1,9,1,6,1,28,1,29,1,6,1,28,1,13,1,30,1,29,1,28,5,6,1,28,2,30,1,28,8,30,1,28,1,29,1,7,1,29,1,30,1,6,2,28,12,30,1,28,3,29,1,30,6,29,1,28,2,30,2,28,2,30,3,6,1,30,1,13,1,6,1,7,1,13,1,9,1,17,52,16,1,17,1,10,1,16,1,17,1,11,1,17,1,9,1,10,1,9,1,13,3,6,1,13,1,7,2,6,2,29,2,7,1,13,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,31,8,1,30,3,6,1,7,1,30,1,13,1,7,1,13,2,30,2,28,3,30,2,28,4,30,1,28,13,6,1,28,7,6,1,30,1,29,1,6,1,8,1,13,1,8,1,7,1,6,1,9,1,13,1,8,1,28,2,29,1,28,1,7,1,6,1,7,1,29,1,13,1,8,1,13,1,8,1,13,1,8,1,7,1,24,1,8,1,13,1,7,2,6,1,13,1,28,1,6,3,13,1,6,1,7,1,13,1,8,1,9,1,17,6,11,2,12,1,16,1,8,1,16,1,8,1,9,1,8,1,9,2,11,2,17,1,16,1,17,3,10,1,11,1,9,2,11,1,9,1,8,1,13,1,6,1,28,1,6,1,17,2,12,2,8,1,6,1,28,5,10,1,17,1,9,1,13,1,29,1,28,19,6,1,13,1,11,2,16,1,17,6,6,1,28,2,30,1,8,1,10,1,9,1,13,1,6,2,28,1,29,1,6,1,29,1,13,3,28,3,6,1,13,1,6,1,13,1,11,2,17,1,12,1,17,1,9,2,16,1,17,2,11,1,8,1,9,1,10,2,24,1,8,2,24,1,12,1,8,1,17,4,16,8,17,2,16,2,28,1,13,1,9,2,30,1,28,2,30,1,9,1,13,3,9,1,13,4,17,1,9,1,30,9,6,3,30,1,29,1,30,1,8,1,9,1,8,1,6,1,30,1,6,2,30,1,6,1,30,2,28,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,13,3,30,2,28,1,6,1,28,2,30,9,6,2,13,1,6,1,13,1,6,1,13,1,30,8,29,1,30,1,28,1,30,1,6,4,30,1,29,1,30,1,6,3,29,1,6,1,30,2,29,1,28,1,6,1,30,1,6,3,30,1,6,1,30,2,29,1,30,1,6,2,29,1,6,1,30,1,6,3,30,1,6,2,30,1,29,1,6,1,29,1,30,1,6,2,30,1,6,3,29,2,30,3,6,1,30,2,29,1,30,6,13,1,30,1,28,1,6,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,28,1,30,3,6,2,13,1,6,3,30,1,6,1,30,1,6,3,29,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,28,1,30,1,6,1,30,3,28,1,30,3,28,1,30,3,6,1,30,1,6,2,30,1,6,1,30,2,28,1,6,1,30,1,6,1,30,1,29,1,30,1,28,3,30,2,28,1,30,2,28,1,30,1,28,1,6,1,28,1,6,1,30,5,28,1,30,1,28,1,6,1,30,3,6,1,30,1,6,1,30,3,29,1,30,1,6,1,30,1,6,3,30,1,6,1,30,1,6,1,13,1,6,2,30,1,6,2,13,1,30,1,6,3,13,1,30,1,6,8,29,1,6,3,13,1,7,1,30,1,6,2,30,1,6,3,7,1,6,3,30,1,6,3,30,1,6,1,30,2,6,4,30,2,28,1,30,1,6,1,30,1,6,1,30,3,28,1,30,3,28,1,30,3,28,2,30,2,28,1,30,1,6,1,13,1,9,2,7,1,13,1,17,1,6,1,30,1,8,1,24,1,12,3,30,1,28,1,30,3,28,2,30,3,28,1,30,2,6,1,30,1,28,3,30,1,28,8,17,1,12,1,11,1,12,1,13,1,10,1,13,1,28,1,30,1,28,5,7,1,13,2,30,1,28,37,30,1,24,2,9,1,12,1,16,1,12,1,9,1,11,1,17,1,11,1,9,2,10,1,9,1,11,3,12,1,16,1,10,1,9,1,11,1,16,4,8,3,11,3,9,1,8,1,13,1,9,1,10,1,17,1,10,1,24,1,10,1,9,1,8,1,13,1,6,1,9,1,17,1,10,1,9,1,10,1,11,2,9,1,11,1,9,2,11,2,12,1,11,1,9,1,12,1,10,1,12,1,11,1,9,1,12,1,8,1,11,1,9,3,12,1,10,1,9,3,12,1,10,2,9,1,13,1,24,1,8,1,10,1,8,1,24,1,9,1,24,1,10,2,9,2,10,1,8,1,10,1,9,1,10,1,11,1,10,1,11,1,10,1,24,3,13,2,24,2,17,1,24,1,10,1,24,1,6,1,25,3,8,1,28,2,30,1,6,1,30,1,28,1,26,1,29,2,28,1,29,1,27,1,6,1,29,1,30,1,25,1,28,2,30,1,28,1,30,2,28,4,29,1,28,2,29,1,30,2,25,3,27,1,26,2,25,1,24,1,26,1,27,1,29,1,30,1,6,1,27,1,30,1,29,1,30,1,26,1,30,2,7,1,6,1,7,1,29,2,25,1,30,1,29,1,25,1,27,1,6,1,8,1,6,2,29,1,8,1,24,1,8,1,24,1,12,7,10,1,12,2,10,1,17,1,24,1,12,1,10,3,24,1,12,1,8,2,6,2,10,1,12,1,10,1,12,3,24,1,12,1,13,1,12,1,10,1,12,2,24,1,10,1,24,1,8,1,10,1,24,1,12,1,24,1,10,1,12,1,24,1,12,1,17,1,24,1,12,1,17,1,8,1,24,1,10,2,24,1,10,1,24,1,17,1,12,1,9,1,17,1,24,1,12,1,10,2,7,1,30,1,28,36,29,1,24,1,17,4,12,1,9,1,12,2,24,1,8,1,24,1,10,1,24,2,6,1,24,1,12,1,13,1,24,2,10,1,24,2,12,1,24,1,12,1,8,1,12,1,24,1,13,1,8,2,24,1,13,1,8,3,12,1,10,1,24,1,13,1,24,1,8,1,9,1,17,1,12,2,10,1,24,2,12,3,17,1,10,1,12,4,9,1,12,1,17,1,13,1,17,1,9,1,8,1,24,1,17,2,12,1,17,1,10,1,24,1,7,1,12,1,24,1,12,1,17,1,12,1,17,1,12,1,10,1,17,1,12,5,17,1,12,2,9,1,17,1,12,1,17,2,12,3,17,3,12,1,17,6,12,1,17,8,7,1,28,10,13,2,28,7,13,1,29,1,30,1,28,28,13,2,8,1,7,1,8,1,7,1,8,1,13,1,8,1,13,1,9,1,10,1,24,1,10,1,9,1,24,2,13,1,10,1,17,2,12,1,11,1,17,1,13,2,11,1,17,3,12,1,9,1,13,1,9,1,13,1,7,1,13,3,6,1,13,4,9,1,13,2,8,1,13,2,9,1,6,1,8,2,13,1,8,1,6,1,7,1,13,3,6,1,13,3,9,1,13,4,6,2,30,2,28,149,30,1,28,23,30,1,28,6,30,1,28,3,8,1,17,3,12,1,24,2,13,1,6,1,29,1,6,1,30,1,28,1,30,1,29,1,28,1,6,1,29,1,6,1,8,3,7,1,8,1,10,1,8,1,24,1,8,1,9,1,28,8,6,1,24,1,13,2,30,1,28,35,13,1,8,1,6,1,29,1,28,1,6,1,8,1,12,1,9,1,24,1,7,1,28,2,30,2,29,2,13,2,24,1,9,1,13,1,30,1,28,5,13,1,11,1,6,1,28,3,29,2,6,1,7,1,9,1,15,1,14,2,24,1,15,1,13,1,8,1,13,1,29,1,13,1,12,2,13,1,28,3,29,1,7,1,8,1,29,1,28,50,8,1,11,1,}, {29,1,30,1,28,1,29,1,30,1,13,1,28,1,6,3,28,2,13,1,6,2,13,1,28,1,8,1,6,1,13,3,8,1,7,1,8,1,13,1,11,1,8,1,6,2,29,1,28,2,30,1,13,2,6,1,9,2,17,6,12,1,8,1,13,2,29,1,6,1,28,1,29,1,13,2,24,1,14,1,6,1,28,5,30,1,9,1,8,1,6,3,30,1,29,1,28,7,6,2,12,1,29,1,28,42,30,1,28,3,29,1,7,1,28,1,13,1,9,1,8,1,13,1,29,1,30,1,7,1,28,1,13,1,10,1,9,1,28,1,6,9,30,1,28,4,30,1,6,1,28,1,6,1,11,1,9,1,13,1,6,1,28,2,30,1,28,1,6,1,8,1,12,1,24,3,6,1,13,1,7,1,8,3,15,1,11,1,9,1,8,1,14,1,9,1,13,1,28,1,29,1,6,1,29,1,8,1,6,1,28,33,6,1,29,1,6,1,28,1,30,1,29,1,8,2,29,1,28,1,30,1,28,1,29,1,13,1,9,2,12,1,24,1,8,1,7,1,13,1,30,1,6,1,13,1,8,1,6,1,8,1,13,1,29,1,6,1,29,1,6,1,29,1,30,1,6,1,13,1,6,1,8,1,9,2,15,1,9,1,17,2,14,1,13,1,28,10,6,1,30,1,28,3,30,1,13,1,29,1,6,1,13,1,30,1,6,1,28,2,29,1,30,1,6,1,28,4,30,3,13,3,9,1,7,1,8,2,16,1,9,1,8,1,9,1,8,1,11,1,9,2,11,3,17,1,16,1,11,1,16,1,9,1,10,1,11,1,9,1,11,3,9,2,10,1,16,1,11,1,16,1,11,1,16,1,17,1,9,1,16,1,17,5,11,1,17,1,11,1,16,4,9,1,11,1,17,1,16,1,17,1,11,1,16,1,17,1,16,2,9,1,16,1,17,2,16,1,17,1,16,2,17,1,11,1,17,1,11,1,9,1,11,1,10,1,9,1,10,1,9,1,11,1,17,3,12,1,16,2,11,3,17,1,9,1,17,1,11,1,16,5,9,1,11,1,17,1,16,2,17,3,16,1,17,3,16,1,17,2,16,1,17,1,11,1,17,1,16,1,11,2,9,1,13,2,8,2,13,1,8,1,13,3,8,1,13,1,12,1,13,1,9,1,11,1,9,1,11,1,9,1,12,1,13,1,6,1,30,1,28,1,6,1,7,1,6,1,7,1,29,1,30,2,13,2,7,1,6,1,30,2,8,1,13,2,8,1,13,2,8,1,13,1,8,1,13,1,8,1,10,1,6,1,8,1,9,1,8,2,24,1,13,1,11,2,9,1,16,1,11,1,10,1,13,1,11,1,17,1,9,1,11,1,10,1,11,1,16,2,11,3,16,1,9,1,10,1,11,2,9,1,11,1,16,1,9,1,8,2,9,5,8,1,13,1,9,1,13,1,9,2,11,1,10,1,9,2,11,2,16,1,8,1,9,4,11,1,9,1,11,3,9,5,10,1,11,2,9,3,11,1,9,1,11,1,9,1,10,3,9,2,11,1,16,1,11,4,10,1,11,1,9,3,10,1,9,1,8,1,10,1,9,2,13,1,9,2,10,1,24,1,8,1,13,1,24,1,6,1,7,2,6,2,30,1,6,1,29,1,28,1,30,1,28,17,30,1,28,1,6,2,17,7,16,1,17,1,16,1,11,1,17,1,16,1,12,1,17,1,8,1,9,1,16,1,9,1,24,1,8,2,13,2,24,1,13,1,7,2,29,1,6,1,30,2,29,1,28,1,30,1,28,16,29,1,28,1,29,1,28,1,29,1,30,1,28,12,30,1,28,1,30,2,29,1,6,1,29,1,28,3,29,1,28,5,30,3,6,1,30,3,7,1,6,1,9,1,11,2,17,1,11,1,17,2,16,1,17,2,16,1,17,1,11,1,17,34,16,1,17,11,11,1,16,3,11,1,10,1,9,2,8,1,13,3,6,4,30,1,29,1,6,1,30,1,28,1,30,1,28,34,8,1,28,1,29,1,30,1,29,2,28,1,13,1,30,1,6,1,30,1,28,2,6,1,28,3,30,1,28,2,30,1,28,23,30,1,29,1,7,1,6,1,7,1,8,1,13,1,8,1,9,1,8,1,24,1,8,1,6,2,30,1,6,4,7,2,8,1,6,1,13,1,8,1,13,2,8,1,6,1,24,1,13,2,24,1,8,1,13,3,9,1,13,1,9,1,17,1,16,2,11,1,17,2,16,1,17,2,16,1,9,1,8,1,9,1,7,1,8,1,9,1,16,1,17,17,10,1,9,1,8,1,9,1,13,1,9,4,6,1,30,1,28,1,30,1,28,1,29,1,28,1,13,1,17,1,24,1,13,1,30,1,28,19,6,1,13,1,9,1,16,1,17,7,13,1,28,1,30,1,6,1,16,1,9,2,6,1,28,2,30,2,28,1,6,2,13,1,7,1,13,1,8,1,9,2,11,1,10,1,16,1,17,1,16,1,10,1,11,1,12,1,17,4,11,1,12,1,8,1,9,1,12,1,9,1,11,1,9,1,12,3,17,4,16,3,17,1,16,2,17,1,16,3,17,3,28,1,13,3,6,1,28,1,30,2,13,1,6,1,13,3,9,2,13,2,16,1,6,1,30,2,6,1,30,3,28,1,6,1,30,1,6,1,29,1,6,1,30,1,13,1,8,2,6,2,28,3,30,2,28,2,30,1,28,1,30,2,28,1,30,1,6,1,30,1,29,1,6,2,13,1,28,1,30,3,6,1,30,1,28,1,29,1,30,2,29,1,28,1,30,1,6,1,30,1,6,1,13,1,9,1,13,3,7,1,6,1,30,3,29,1,28,1,30,2,28,1,30,2,29,1,6,1,30,2,6,1,28,1,30,1,6,1,30,1,6,1,30,7,6,1,30,1,6,1,30,1,29,1,6,3,30,1,6,2,30,1,6,2,29,1,30,3,6,1,30,1,29,2,6,1,29,1,6,1,29,1,30,1,29,1,30,1,6,1,7,1,30,3,6,2,30,1,6,1,30,2,6,1,30,2,29,1,30,2,6,1,28,1,9,1,30,4,6,1,30,2,6,1,30,2,6,2,28,1,6,1,29,1,30,1,6,2,30,1,6,1,30,1,13,1,29,1,30,1,6,1,30,1,6,1,13,1,6,3,30,4,29,1,30,3,29,1,28,1,6,1,30,1,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,29,1,30,3,29,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,2,13,1,29,1,30,2,29,1,30,6,28,1,30,1,6,1,30,3,28,1,30,1,28,2,29,1,30,1,28,1,30,1,6,1,30,2,28,1,30,3,6,3,30,1,29,2,7,1,6,3,13,2,6,8,13,1,6,4,13,1,6,1,29,1,13,2,28,1,30,5,6,1,28,1,6,3,13,1,6,1,7,1,30,1,13,1,30,1,13,2,6,3,30,1,6,1,30,1,6,1,30,3,6,1,7,1,6,1,28,1,6,1,28,1,6,1,30,1,6,1,30,1,28,2,30,3,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,13,1,30,1,13,1,8,1,13,1,10,1,17,1,28,2,6,1,11,1,10,1,17,1,8,1,28,2,30,2,28,4,7,1,30,1,28,1,30,2,6,2,30,1,28,6,13,1,28,4,17,1,8,1,24,1,13,1,7,1,13,1,8,1,13,1,29,1,28,2,6,1,29,1,13,1,8,1,7,1,28,40,7,1,24,1,13,1,9,2,11,1,17,1,9,1,11,1,12,1,11,3,9,2,12,1,9,1,11,2,16,1,11,2,10,1,12,2,11,2,9,1,17,1,11,2,12,1,11,1,17,1,11,1,12,1,17,2,24,1,10,1,12,2,13,1,8,1,13,1,17,2,11,2,10,1,9,1,10,2,9,1,12,1,10,1,12,2,10,1,11,2,17,1,11,1,10,1,17,1,12,1,11,1,12,1,9,1,10,2,12,1,9,1,11,2,10,1,9,1,10,1,9,2,12,1,10,1,24,1,9,1,8,1,9,1,13,1,9,1,8,2,24,1,8,2,9,3,8,1,24,1,9,1,10,2,12,1,10,1,12,1,24,1,8,1,13,1,8,1,24,1,8,2,7,2,24,1,8,1,6,1,24,1,26,1,7,3,6,2,30,1,29,1,28,1,30,3,29,1,30,2,29,1,6,1,29,1,30,2,28,3,30,1,28,1,30,1,29,1,30,1,28,2,29,3,25,1,27,1,25,2,29,1,24,1,27,1,6,1,27,1,30,1,29,2,25,1,28,1,26,1,6,1,25,1,29,1,27,1,30,1,25,1,7,1,29,2,26,2,30,1,29,1,25,1,27,1,25,1,6,2,24,1,8,1,24,3,10,1,24,1,12,1,24,2,12,1,24,1,10,4,24,1,17,1,10,1,17,1,24,1,12,1,24,1,8,1,6,1,24,3,10,2,8,1,24,3,13,1,24,1,17,1,24,1,12,1,17,1,12,2,10,1,12,1,17,1,24,1,12,1,9,1,17,2,9,1,10,1,24,1,12,2,10,1,24,1,12,1,24,1,10,3,12,2,10,1,12,1,10,2,24,1,10,2,17,1,24,2,30,1,28,36,7,1,17,1,12,1,17,1,9,1,12,2,10,1,24,1,8,1,24,1,12,1,24,5,8,1,7,1,12,1,24,1,9,1,24,1,8,1,12,1,9,1,10,1,24,1,12,1,13,1,24,1,13,1,24,1,8,2,13,3,8,2,10,1,24,1,10,1,24,1,10,1,12,1,24,1,10,1,17,1,12,1,24,2,17,1,10,2,7,1,17,1,10,1,12,1,17,1,12,1,17,1,12,1,17,3,12,4,24,1,10,1,12,1,24,1,12,1,9,1,10,1,8,1,24,1,10,2,12,3,10,1,17,1,12,1,17,3,12,1,17,1,12,4,17,7,12,1,17,9,12,1,17,4,12,1,17,1,13,1,28,9,13,2,28,7,6,2,13,1,28,29,7,1,13,3,6,1,13,2,8,1,6,1,8,1,24,1,8,2,12,1,9,1,10,1,9,1,10,1,9,1,10,1,12,2,17,2,11,2,12,1,17,3,9,2,13,1,7,1,6,1,30,1,13,1,6,1,13,3,6,1,13,2,9,1,6,2,8,1,13,1,9,1,8,1,9,1,8,1,13,3,6,1,13,8,9,2,13,2,30,1,13,1,30,1,6,1,28,174,29,1,28,10,8,1,17,2,11,1,9,1,24,1,8,1,29,1,13,1,6,1,8,1,29,1,13,1,6,1,30,1,6,1,7,1,6,2,13,1,8,1,13,2,6,1,8,1,10,1,9,2,8,1,28,7,30,1,8,2,6,2,28,36,10,1,11,1,13,1,28,2,6,1,8,2,24,2,13,1,28,1,29,3,30,1,29,1,24,1,13,1,9,1,8,2,28,5,30,1,8,1,9,1,29,1,28,5,7,1,13,1,24,1,12,1,14,3,12,1,8,1,30,1,29,1,30,1,8,1,9,1,12,1,13,1,30,1,28,2,30,1,6,1,13,1,30,1,28,50,8,2,}, {6,1,13,1,6,1,28,3,30,1,6,1,28,2,30,1,28,1,30,1,6,1,28,1,29,1,7,1,8,1,7,1,13,2,7,1,13,3,8,1,6,1,13,1,8,1,29,1,6,2,28,1,29,1,30,1,6,1,13,2,9,1,10,1,17,5,11,1,13,1,6,3,30,1,29,1,13,1,8,2,15,1,12,1,13,1,28,4,30,1,6,1,10,1,6,1,8,1,13,1,6,1,28,10,29,1,14,1,13,1,6,1,28,43,30,1,6,2,28,1,6,1,29,1,8,1,24,1,6,2,13,1,29,2,24,1,9,1,8,1,13,1,6,1,13,2,28,1,6,1,7,1,8,1,6,1,29,1,30,1,28,5,30,2,6,1,13,1,16,1,8,1,30,2,28,3,7,1,9,1,17,1,10,1,24,1,8,1,6,1,13,2,8,3,9,1,24,1,10,1,13,1,14,1,15,1,6,1,13,1,29,1,13,1,30,1,6,1,29,1,28,34,29,1,30,1,29,1,28,1,6,1,9,2,30,1,28,2,6,1,28,2,9,1,15,1,24,1,10,1,15,1,8,1,29,2,13,1,7,1,13,1,6,1,29,2,6,1,29,1,6,1,30,1,6,1,28,1,13,1,6,1,8,1,13,1,24,1,9,2,14,4,8,1,28,11,30,1,28,3,13,2,30,1,28,1,6,1,28,1,30,2,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,13,3,9,2,13,1,9,1,8,1,9,1,11,1,13,1,11,3,9,2,11,2,9,2,8,1,11,1,16,1,11,1,9,1,11,3,17,1,16,1,11,1,16,4,11,1,17,1,11,1,16,2,11,1,16,1,11,2,17,1,16,1,11,1,17,1,11,1,16,1,17,2,16,1,17,2,16,1,11,1,17,2,16,1,11,6,9,1,17,1,9,1,17,1,11,1,17,1,16,1,11,1,17,1,9,2,11,1,9,1,11,2,9,1,11,2,16,1,9,1,17,2,16,2,9,1,16,1,17,1,16,3,17,1,11,1,16,2,11,1,10,1,16,1,11,1,16,2,17,1,16,1,17,3,16,1,17,2,16,1,17,1,10,1,16,2,9,1,16,1,13,1,6,2,13,1,8,1,13,1,8,1,13,1,9,1,13,2,9,4,10,1,8,1,16,1,9,1,8,1,30,1,7,1,28,1,6,2,30,1,13,2,6,2,30,1,13,2,29,1,6,1,8,2,13,1,7,1,6,1,13,1,6,1,13,5,6,1,9,1,13,1,9,1,13,1,7,1,13,1,9,2,8,2,11,1,13,2,8,1,11,2,16,2,11,2,16,3,11,2,17,1,16,1,11,3,9,1,11,3,9,1,11,2,9,3,13,1,8,1,9,5,10,1,8,1,9,1,13,1,16,1,8,1,13,1,9,1,8,1,9,4,8,1,11,1,8,1,13,1,11,3,9,2,11,1,9,1,10,1,9,1,11,3,10,1,8,1,9,3,8,1,17,1,8,1,9,1,11,2,8,1,16,1,10,1,11,1,9,1,16,1,9,1,11,1,9,1,10,1,9,1,11,1,9,2,10,1,8,1,17,1,24,1,8,1,9,1,11,1,8,1,13,1,8,1,13,2,29,2,6,1,30,1,28,1,6,1,28,4,30,1,28,15,29,1,6,1,17,6,16,1,17,2,16,1,11,1,17,1,16,1,11,1,17,2,12,1,9,1,10,1,9,3,13,1,24,1,29,1,6,1,30,1,6,1,29,1,30,2,28,21,29,1,6,1,29,1,6,1,28,1,29,1,28,7,30,1,28,1,29,2,30,2,28,1,30,1,28,1,30,1,28,13,30,1,28,1,29,1,6,2,30,1,7,1,8,1,9,1,10,1,11,1,12,1,17,1,16,1,17,7,11,1,17,1,16,1,17,8,16,1,17,25,16,1,17,1,16,1,17,3,16,1,17,2,16,2,11,1,9,3,13,2,7,1,13,2,6,1,29,1,30,1,6,2,28,1,29,1,28,2,30,1,28,33,10,1,6,1,30,2,13,1,6,1,7,1,24,1,28,1,30,1,28,4,29,1,28,2,30,1,28,27,6,1,8,1,30,1,6,1,7,1,8,1,13,1,8,1,7,1,13,2,24,1,7,1,29,1,6,1,30,1,6,1,7,1,13,2,8,1,9,2,6,1,8,2,9,1,8,1,9,1,10,1,24,1,8,1,13,1,9,1,13,1,9,2,16,1,11,1,9,1,16,2,17,2,16,1,11,2,10,1,11,1,8,1,9,2,6,1,13,1,11,1,17,23,11,1,10,1,9,1,8,1,7,1,30,1,6,1,29,1,6,1,30,2,24,1,17,1,8,1,13,1,30,1,28,9,30,2,28,1,30,1,28,4,6,1,13,1,9,1,11,1,17,9,16,1,30,1,13,1,17,2,16,1,9,3,7,1,6,1,7,1,13,3,9,1,16,2,17,3,16,2,17,5,11,1,17,2,11,1,17,3,12,1,16,2,11,1,12,1,17,1,16,2,17,3,16,2,11,1,16,8,17,4,6,1,13,2,9,1,13,1,28,2,30,1,13,4,9,3,8,1,13,1,9,1,28,1,6,1,30,1,28,1,30,2,28,1,30,2,28,1,6,1,30,1,28,1,13,2,28,1,6,1,30,5,28,1,30,3,6,1,30,3,6,6,7,1,6,2,30,3,28,2,6,1,30,7,6,1,28,1,6,3,30,1,28,1,30,2,6,1,30,4,6,1,29,1,28,1,30,1,6,2,29,1,30,1,6,1,30,1,7,1,30,1,29,1,30,1,6,1,30,2,29,1,30,2,6,1,30,1,6,1,28,1,6,1,30,1,6,1,30,5,6,1,30,3,6,4,13,1,30,1,6,1,30,1,6,2,28,1,6,3,30,2,29,1,6,2,30,2,29,1,30,1,6,1,30,1,29,1,30,1,6,4,30,2,28,1,9,1,28,2,30,3,28,2,6,1,29,1,6,1,30,2,6,1,30,3,6,1,29,1,28,1,6,1,30,1,28,1,6,1,30,1,6,3,30,1,6,3,29,1,30,1,29,1,30,3,6,1,30,3,6,1,28,1,6,1,30,2,28,1,30,4,28,1,30,1,28,1,30,2,28,2,30,1,28,1,6,1,30,5,28,1,6,2,28,2,30,2,28,1,30,4,6,2,28,2,30,1,28,2,30,6,28,1,30,1,28,2,6,1,30,5,28,1,6,1,30,3,29,1,30,1,29,1,6,4,29,1,6,1,30,1,29,1,30,1,6,2,13,1,6,2,29,1,6,1,13,1,6,1,29,1,6,3,28,1,30,1,6,2,30,1,29,3,28,1,6,2,13,1,6,2,13,2,6,1,13,1,6,1,13,1,6,5,30,1,6,4,30,1,6,5,13,1,29,1,30,1,6,1,30,1,6,2,30,12,29,1,6,1,9,2,13,1,9,1,11,1,28,1,13,2,9,1,11,2,28,3,30,4,28,3,30,3,28,1,30,1,6,2,28,11,17,1,24,1,29,1,30,1,6,1,8,1,13,1,6,1,30,3,6,1,8,1,13,1,7,1,28,41,29,2,6,2,8,1,9,1,11,1,17,1,12,1,11,1,10,1,9,2,10,1,9,1,12,2,16,1,11,2,9,2,10,1,11,1,16,2,11,1,16,1,12,1,11,1,12,1,16,1,12,2,17,1,16,1,17,2,11,1,12,2,17,1,9,1,8,1,24,1,17,2,9,1,11,1,9,1,11,2,10,1,17,1,11,1,9,3,11,1,17,1,11,1,17,1,12,2,11,1,12,1,9,1,10,1,9,1,10,1,9,1,10,2,12,1,17,1,9,5,10,1,9,1,24,1,8,1,13,1,8,1,9,1,8,2,9,1,8,2,9,1,24,1,9,2,10,1,24,2,9,1,10,3,24,1,10,2,9,1,24,1,13,1,12,1,24,1,10,1,8,2,24,1,8,1,25,1,6,1,24,1,8,1,6,1,25,1,27,1,30,3,28,1,29,3,28,1,30,1,28,1,29,1,28,6,30,1,28,3,30,1,29,1,25,1,28,1,27,1,26,1,27,3,25,1,27,1,8,1,29,1,26,2,25,1,6,1,30,1,6,1,28,1,29,2,26,1,29,1,27,1,29,1,25,1,28,1,6,2,26,1,27,1,26,1,27,1,25,1,29,1,25,3,6,1,24,1,8,1,13,1,8,1,24,1,12,1,9,1,8,2,12,1,17,1,24,1,9,2,12,3,10,1,12,1,9,1,17,1,24,1,17,1,24,1,8,1,17,1,24,1,10,1,24,4,13,1,8,1,12,1,24,1,17,1,12,2,17,1,10,1,24,1,12,2,10,1,12,1,17,2,12,2,17,1,12,1,10,1,24,2,12,1,24,2,10,1,17,1,24,1,12,2,17,1,12,1,17,1,12,2,10,1,12,1,10,1,24,1,8,1,29,1,28,36,10,1,17,1,9,1,17,2,9,1,12,4,10,1,24,2,12,1,8,1,24,2,10,1,8,1,10,1,8,1,12,1,24,1,10,1,24,1,10,1,9,1,24,1,10,1,13,1,7,2,13,2,24,2,13,1,24,1,8,1,10,1,8,1,12,1,24,1,8,1,24,1,10,1,17,1,9,1,8,1,24,1,12,1,24,1,12,1,24,3,17,1,24,1,9,1,17,1,12,1,17,1,12,1,24,1,12,1,10,3,12,1,11,1,9,1,17,2,12,1,8,1,10,1,24,1,12,1,10,1,12,4,10,1,9,1,10,1,12,3,17,1,24,1,17,1,12,3,17,4,12,1,17,20,8,1,28,8,9,1,13,1,6,1,28,6,30,1,6,1,29,1,30,1,28,29,13,2,7,1,13,1,6,1,7,3,9,1,13,1,10,1,8,1,10,1,9,2,12,1,11,2,12,1,17,2,12,1,17,1,11,1,12,2,17,5,9,1,10,1,13,2,6,1,13,1,6,1,13,3,30,1,13,1,9,1,13,1,8,1,13,1,7,1,13,1,9,1,8,1,13,2,9,1,13,1,7,1,6,2,7,1,13,7,8,1,13,2,30,1,6,2,30,1,28,31,29,1,13,3,6,2,13,1,6,1,30,1,28,122,6,1,28,7,30,1,28,2,8,1,28,11,8,1,12,1,17,2,9,1,24,2,7,1,13,1,6,1,29,1,28,1,6,3,13,1,6,1,13,3,24,1,8,4,24,1,13,1,10,1,9,1,28,8,9,1,8,1,13,1,6,1,29,1,28,35,24,1,15,1,13,1,6,1,30,2,9,1,24,1,9,1,24,1,7,1,30,1,28,3,30,2,7,1,13,1,8,1,24,1,8,1,28,6,24,1,13,1,6,1,28,5,6,2,24,1,8,1,14,3,10,1,9,1,13,1,6,1,7,1,8,1,11,1,24,2,28,4,7,1,8,1,29,1,28,50,8,1,24,1,}, {6,1,8,1,28,1,6,1,29,1,28,1,6,2,28,1,6,1,28,1,30,1,6,1,30,1,6,2,13,1,6,1,7,1,13,5,8,1,13,4,8,1,28,1,6,1,30,1,28,1,30,1,28,2,9,1,8,1,11,1,17,2,11,1,17,1,16,1,8,1,9,1,13,1,7,1,28,1,6,2,30,1,6,1,8,1,15,1,9,1,29,1,6,1,29,1,28,3,30,1,9,1,24,1,13,1,7,1,6,1,28,1,30,1,28,7,30,1,6,1,9,2,28,46,6,1,28,1,6,1,7,1,8,1,9,1,24,1,28,1,29,1,7,1,6,2,15,1,8,1,13,1,6,1,28,1,29,2,13,1,6,1,13,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,29,1,6,1,13,2,9,1,6,1,28,1,30,1,28,2,29,1,7,1,8,1,12,2,24,1,6,1,13,1,7,1,6,1,7,1,8,1,9,1,24,2,13,1,8,1,12,2,13,1,30,1,6,1,13,1,28,1,6,1,29,1,28,34,30,1,7,1,28,1,29,1,8,1,9,1,8,1,13,1,29,1,28,2,30,2,9,1,15,1,24,1,15,1,24,1,13,2,6,2,8,1,7,2,8,1,29,1,6,1,29,1,6,1,28,1,6,1,29,1,8,1,13,1,6,1,8,2,24,1,10,1,14,1,9,1,14,2,8,1,30,1,28,14,13,1,30,1,6,1,30,1,7,1,28,1,6,3,28,2,30,1,28,1,6,1,30,1,6,1,13,1,6,1,13,2,9,1,8,4,9,3,8,1,10,2,11,1,16,1,17,1,11,1,16,1,11,1,9,1,16,2,11,1,16,3,11,1,16,3,17,1,16,2,9,3,17,1,9,1,11,1,16,1,11,1,16,1,17,1,16,1,11,1,17,1,11,1,17,2,16,1,17,2,11,1,16,1,17,1,16,1,17,1,16,3,11,1,16,3,11,2,16,1,17,2,16,2,17,2,11,2,16,1,10,2,11,1,7,1,9,1,16,1,10,1,17,1,9,1,16,1,17,1,9,1,17,1,16,1,17,1,16,1,17,1,10,1,16,1,17,1,10,1,17,1,11,2,16,2,9,1,10,1,11,1,17,11,11,1,16,4,17,1,16,1,8,1,13,1,9,1,13,2,9,1,13,2,7,1,13,1,9,1,10,1,11,1,9,1,11,3,8,1,9,1,13,1,28,1,7,1,6,1,29,1,6,4,29,2,7,1,6,4,28,1,30,1,13,2,9,1,6,1,13,1,8,1,30,1,8,1,6,1,8,1,13,2,9,1,24,1,13,1,8,1,13,1,9,2,8,1,11,1,17,2,9,1,17,2,11,1,16,1,11,3,16,3,11,1,16,1,11,1,16,1,11,1,10,1,11,1,9,1,11,1,16,1,8,2,11,1,9,1,8,1,9,5,11,1,9,1,11,1,9,1,11,4,9,1,10,1,9,1,11,1,9,5,10,1,11,1,9,2,8,1,10,1,9,2,11,1,9,1,17,1,9,1,11,1,10,1,9,4,8,1,11,1,9,1,11,1,16,1,9,2,11,3,9,1,11,2,9,1,16,1,9,1,11,2,9,3,11,1,8,1,13,1,16,1,12,1,8,1,11,1,7,1,13,1,8,1,13,3,30,1,29,1,6,1,28,1,30,1,28,16,30,1,28,4,29,1,6,1,17,6,11,1,16,3,17,1,11,1,16,2,11,1,9,1,11,2,12,1,11,1,9,1,8,2,13,1,8,1,7,1,13,1,30,1,8,1,30,1,29,1,30,1,29,1,28,14,29,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,30,1,28,1,29,1,28,12,30,1,28,1,30,1,28,13,30,1,28,2,29,1,30,2,7,2,13,1,8,2,9,1,17,2,11,1,17,2,11,1,17,2,11,1,16,2,11,1,17,1,16,1,17,1,16,1,17,3,16,2,17,13,16,1,17,14,16,1,17,3,16,1,17,4,16,1,17,1,11,1,9,2,13,1,8,1,13,1,7,1,6,1,30,1,13,1,6,1,7,1,30,2,28,37,8,1,28,3,29,1,30,1,28,1,30,1,28,7,30,1,28,30,6,2,7,1,13,2,8,1,13,1,8,4,13,1,28,1,6,1,28,1,6,2,13,1,28,1,13,1,8,2,9,1,13,1,8,1,9,1,10,1,9,3,8,1,17,1,12,1,10,1,11,2,10,1,17,1,16,2,11,1,17,2,16,1,11,3,8,1,9,2,13,3,9,1,17,26,11,1,17,2,16,3,9,2,11,1,12,1,9,1,8,1,30,1,28,15,30,1,6,1,9,1,10,2,11,1,16,5,17,1,16,3,11,1,16,1,17,6,16,1,11,1,16,1,11,1,16,2,17,8,16,1,17,1,10,1,17,1,16,1,12,3,8,1,17,4,16,1,11,1,17,1,16,1,17,2,9,1,17,2,16,1,17,1,16,8,17,2,16,4,17,1,28,1,6,1,13,1,9,1,13,1,28,2,6,1,13,2,6,1,13,5,9,1,6,2,30,2,6,1,28,1,30,1,28,1,29,1,30,1,6,1,30,3,9,1,6,2,30,1,6,2,30,3,29,1,30,1,6,1,30,3,6,1,30,1,28,1,30,1,6,2,30,2,29,1,13,1,30,2,28,1,30,6,28,1,30,4,29,1,30,1,6,4,30,1,6,2,30,4,29,1,28,1,30,3,28,3,6,1,30,6,29,1,6,4,29,2,6,1,28,1,29,1,6,1,13,1,30,1,28,1,30,1,6,1,30,1,7,1,6,1,28,1,13,1,30,2,29,1,30,1,6,1,29,1,13,1,30,1,6,1,30,2,6,2,28,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,2,6,1,30,2,6,2,30,4,28,1,11,1,10,1,30,2,6,1,30,1,6,1,29,1,6,1,30,2,6,1,30,2,29,1,30,1,6,1,30,4,6,1,7,1,6,1,30,1,6,4,30,1,6,5,30,6,28,1,30,1,6,1,29,2,30,2,6,1,30,1,6,1,30,4,6,2,29,1,6,1,30,2,6,1,28,1,6,1,30,1,6,2,30,3,6,1,30,1,6,1,30,3,29,1,13,1,28,1,6,1,28,1,30,7,28,1,30,1,6,1,30,4,28,1,30,6,28,2,6,2,30,2,6,1,30,1,6,3,7,1,6,1,30,1,6,1,13,1,6,1,13,2,6,3,30,1,6,3,30,1,6,1,30,1,29,1,6,1,29,1,30,3,6,2,30,1,7,1,29,1,13,1,6,3,13,1,29,1,13,1,6,3,7,1,6,1,13,2,6,1,30,1,13,2,6,2,29,1,30,1,6,3,30,1,6,1,30,1,6,1,30,2,6,2,30,1,6,2,30,1,6,1,29,1,30,5,28,1,30,2,7,1,13,3,10,1,7,1,9,1,17,2,12,1,28,4,30,1,28,3,6,1,30,2,28,1,30,2,28,2,30,1,6,1,30,1,28,10,17,1,7,1,6,1,30,2,28,5,30,1,6,1,8,1,7,1,28,46,6,1,8,1,13,1,8,1,9,1,10,1,9,3,10,1,12,1,10,1,12,1,11,2,10,1,9,2,10,1,17,4,16,1,17,1,11,1,12,1,11,2,16,1,9,1,16,1,11,1,17,2,11,1,12,1,17,1,12,1,8,1,24,1,17,3,10,1,12,1,11,3,9,1,11,1,9,1,11,2,10,1,9,1,11,1,9,1,11,3,17,1,10,1,9,1,10,1,11,1,9,1,11,2,8,1,11,1,9,5,24,1,9,1,13,1,9,1,8,2,13,2,8,2,9,1,8,1,9,1,24,2,10,1,8,1,24,1,9,1,11,1,10,1,12,1,11,1,17,1,10,1,9,3,13,1,7,2,10,1,24,2,29,1,24,1,8,2,24,1,25,1,7,1,25,1,29,1,30,1,29,3,28,1,29,1,27,1,28,1,30,1,29,1,30,4,28,2,30,1,28,4,30,1,27,3,29,1,26,1,25,1,27,1,25,2,6,1,25,3,6,1,30,1,26,1,27,1,26,1,29,1,30,2,28,1,30,1,26,1,29,1,6,1,28,1,27,1,30,1,27,1,29,1,27,1,26,1,25,1,26,1,25,1,24,1,7,1,13,1,24,1,8,2,12,1,17,1,12,1,13,1,9,1,12,3,9,2,17,1,24,1,12,4,10,2,12,1,24,1,12,1,24,1,8,2,7,1,8,1,24,1,12,1,24,1,8,1,24,3,12,2,17,1,12,1,17,1,12,2,17,1,12,2,17,3,12,1,10,1,17,1,10,2,24,2,10,1,12,1,24,1,10,1,17,1,10,1,9,1,24,2,10,2,9,1,12,1,17,1,24,1,12,1,24,1,28,37,17,2,12,1,10,1,12,1,11,1,10,1,8,1,24,2,9,1,13,1,10,1,12,1,24,2,10,2,24,4,7,1,9,1,10,1,13,1,24,3,10,1,24,1,8,1,10,1,24,1,8,2,24,2,8,1,7,1,10,1,24,1,13,1,24,1,10,2,17,1,12,1,7,1,12,1,24,1,12,1,17,1,13,1,17,1,12,1,24,1,9,1,24,1,12,2,24,1,17,1,12,1,24,1,17,1,9,1,10,1,12,2,17,1,12,3,10,4,17,2,10,1,9,2,24,2,12,1,10,2,17,1,10,1,17,2,12,1,17,3,12,3,17,4,12,1,17,10,12,3,17,3,8,1,28,8,9,1,28,7,29,1,6,1,30,2,28,29,13,2,9,1,8,1,7,1,13,1,7,1,13,3,8,1,24,1,9,1,11,1,10,1,12,2,9,1,10,1,9,2,12,2,9,1,11,2,12,1,17,5,13,1,11,1,13,10,9,1,13,2,6,1,13,2,7,1,9,1,6,1,13,2,30,1,6,2,13,1,30,1,6,1,7,1,6,1,13,3,9,1,13,3,6,1,28,1,30,1,28,32,6,1,9,1,13,1,28,2,30,1,28,2,6,1,30,1,13,1,9,1,13,5,6,2,30,1,28,122,13,1,28,9,6,1,28,1,12,1,17,4,24,1,13,1,7,1,29,2,13,1,28,1,29,1,28,1,6,1,7,1,29,1,30,1,6,1,8,1,13,1,9,1,10,1,8,1,9,1,8,1,10,2,13,1,28,8,8,1,24,1,13,1,6,2,28,34,30,1,15,2,24,1,30,1,28,1,6,1,8,1,12,2,9,1,6,1,28,1,30,1,28,3,6,1,30,1,24,1,9,2,24,1,28,5,6,1,9,1,15,1,6,1,28,5,29,1,13,2,9,1,10,1,14,1,12,1,15,1,9,1,13,1,29,1,30,1,8,1,9,1,12,1,13,1,29,1,28,2,29,1,6,1,29,1,30,1,28,11,30,1,28,5,30,2,28,31,8,1,10,1,}, {6,1,13,1,29,1,6,2,29,1,28,3,30,2,6,1,28,1,29,1,28,1,29,1,13,4,6,1,13,1,8,2,7,1,8,1,13,2,6,2,29,1,30,1,28,5,13,2,11,1,17,4,11,1,9,1,13,1,6,1,13,1,6,1,30,1,28,1,13,1,7,1,24,1,9,2,8,1,29,1,28,4,29,1,8,1,24,1,6,1,13,1,6,1,30,1,28,9,6,1,9,1,13,1,7,1,28,39,6,1,29,1,28,4,6,1,29,1,28,1,8,1,9,1,24,1,8,1,30,3,28,1,13,1,17,1,8,2,6,5,8,1,7,1,30,1,29,1,28,4,30,1,28,2,29,1,13,2,8,1,13,1,28,1,6,1,28,3,8,1,6,1,8,2,9,1,8,1,6,1,13,2,7,1,8,1,10,1,8,1,9,1,15,1,8,1,15,1,9,1,8,1,6,3,28,1,30,2,28,33,30,2,29,1,28,1,29,1,8,1,24,1,9,1,24,1,28,2,30,1,29,1,7,1,9,1,12,1,10,1,8,1,9,1,8,1,13,1,7,4,29,1,6,1,29,1,6,1,29,2,28,1,29,1,30,1,13,1,6,2,8,1,24,1,8,1,9,1,15,1,14,3,8,1,28,11,30,1,28,3,13,1,6,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,13,1,28,1,30,1,6,2,13,2,9,1,13,1,9,2,13,1,9,1,11,2,16,2,17,1,11,2,9,1,11,1,9,1,16,2,11,1,16,2,11,1,16,3,9,1,13,1,17,1,10,1,9,1,16,1,11,1,16,2,11,1,9,1,16,3,17,4,16,1,11,1,16,2,11,1,17,1,16,1,17,1,16,4,11,4,10,1,17,2,16,2,10,1,16,2,9,1,17,1,11,1,8,1,9,1,17,1,11,1,9,1,11,1,16,1,8,1,9,1,17,1,9,1,16,3,17,1,11,1,17,1,16,1,17,5,11,1,16,1,11,1,16,1,17,1,11,2,16,1,17,1,11,1,17,1,11,1,17,5,16,3,9,1,16,2,9,1,17,1,9,1,13,4,8,1,9,1,10,1,6,1,9,1,13,2,9,3,16,1,9,2,10,1,9,1,13,1,6,3,30,1,7,1,13,3,30,1,6,1,13,1,7,2,8,2,6,1,24,1,13,1,24,1,13,1,8,1,13,2,6,1,8,2,7,1,8,2,7,1,8,1,6,1,13,1,6,1,9,3,11,1,8,1,9,2,17,2,11,2,16,1,11,1,9,1,11,2,10,1,16,1,9,1,16,1,11,4,9,1,10,1,9,2,11,1,9,1,11,1,8,1,9,2,13,1,9,4,11,1,10,1,9,1,11,1,9,1,10,1,13,1,11,1,9,1,13,1,9,1,16,1,9,6,10,1,8,1,9,2,10,1,16,1,9,1,10,1,9,2,10,1,8,1,11,1,10,1,9,3,11,1,9,1,11,2,9,1,11,2,17,1,9,2,11,1,10,1,11,4,10,1,9,3,8,1,13,1,10,1,17,1,13,1,24,1,8,1,7,1,13,1,9,1,7,1,6,2,29,1,6,1,30,1,28,1,30,1,28,3,29,1,28,17,30,1,17,7,16,1,17,2,16,1,17,1,11,1,17,3,11,1,12,1,10,1,11,1,8,3,24,1,6,1,7,1,6,1,7,2,29,1,30,1,28,2,29,1,28,14,30,3,28,1,30,1,28,1,7,1,30,1,6,1,28,1,30,1,28,9,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,5,30,1,28,5,29,1,30,1,28,2,29,2,6,1,29,1,7,1,10,1,11,1,9,1,16,1,17,1,16,1,17,3,16,1,17,3,11,1,17,2,16,3,17,4,11,1,17,1,11,1,17,2,11,1,16,2,17,1,16,1,17,1,9,1,17,11,11,1,17,4,16,3,17,6,11,2,16,1,9,1,10,1,8,4,13,1,29,1,6,1,30,1,6,1,30,1,28,38,8,1,6,1,29,1,30,1,28,2,30,1,28,37,30,1,6,1,30,3,6,1,13,1,7,1,13,2,24,1,8,1,9,1,8,1,13,2,30,1,6,3,13,2,8,1,13,1,7,1,13,1,10,1,8,2,12,1,9,2,11,1,12,1,9,1,10,1,9,1,12,1,17,1,11,1,17,1,16,1,17,1,16,4,11,1,10,1,13,1,8,1,13,2,8,2,16,1,17,36,11,1,9,1,6,1,7,1,28,4,13,2,29,1,6,1,28,1,13,2,8,2,9,2,11,1,9,2,16,2,11,1,16,10,11,4,16,5,17,2,16,1,17,9,16,1,17,1,12,1,9,1,17,1,10,1,9,1,17,8,11,1,16,1,17,1,16,1,17,1,16,1,11,2,16,2,11,1,16,5,17,1,16,2,17,2,16,1,17,1,13,1,30,1,13,1,9,1,13,1,28,3,13,3,9,2,13,1,9,1,6,1,9,1,28,1,6,1,29,1,30,1,6,1,30,2,28,1,6,1,30,2,6,2,30,1,11,1,6,1,29,1,6,1,30,3,6,1,30,1,28,1,30,7,6,1,28,2,30,1,6,2,30,1,13,1,30,3,28,1,30,1,28,1,30,6,6,2,30,1,6,1,30,2,6,1,30,1,6,1,29,1,30,4,6,1,28,3,6,1,30,1,6,1,29,1,28,2,30,1,28,2,30,6,6,3,30,1,29,1,30,1,6,1,30,1,6,1,30,4,6,1,29,1,30,1,6,1,29,1,6,1,30,3,6,3,29,1,6,2,30,2,6,1,30,1,6,1,29,1,30,4,6,1,30,2,6,2,30,2,6,1,29,1,30,6,13,1,8,1,30,3,28,1,29,1,30,2,28,1,30,1,6,1,30,1,6,1,28,1,6,1,30,2,6,3,30,1,6,1,13,3,30,1,6,2,30,1,6,1,30,3,6,2,30,1,28,2,6,1,30,2,6,1,30,1,29,1,30,4,28,1,6,2,28,2,30,2,6,1,30,2,29,1,30,5,28,1,29,2,30,1,29,1,30,1,6,2,30,1,6,2,30,2,6,1,30,1,6,1,30,3,28,1,30,6,6,1,30,3,29,1,6,1,29,1,30,2,6,2,30,1,6,1,28,1,30,1,6,2,30,1,6,1,29,1,30,2,6,1,30,1,6,4,13,1,30,1,6,2,7,1,6,3,7,1,6,2,13,1,29,1,6,3,13,1,6,2,29,1,30,1,6,3,13,2,6,1,13,1,6,2,13,1,6,3,7,1,6,2,7,1,6,3,7,1,6,1,29,1,6,2,13,1,29,1,6,2,30,3,6,3,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,2,30,4,13,1,6,1,8,3,11,1,13,1,6,2,28,3,29,1,6,1,30,2,28,1,30,3,28,1,6,1,30,2,6,1,30,2,28,1,6,1,28,1,30,1,28,9,10,1,30,1,28,7,6,1,13,3,28,45,30,1,28,2,13,3,8,1,11,1,10,1,11,1,9,2,11,1,9,2,11,1,9,3,10,1,11,1,17,3,16,1,17,1,11,1,12,1,11,1,12,1,17,1,12,1,9,1,11,1,16,3,17,3,12,1,9,1,12,1,11,1,12,2,11,1,12,1,11,1,10,1,11,1,12,1,9,1,10,1,17,1,11,1,17,1,11,1,10,2,9,1,11,3,10,1,12,1,10,1,11,1,12,2,10,1,9,2,8,2,10,1,13,1,9,2,8,1,13,1,8,1,24,1,9,1,24,1,13,1,24,2,9,2,13,1,10,1,8,1,9,1,8,1,9,1,8,2,11,3,10,2,11,1,24,1,8,1,9,1,13,1,8,2,9,1,24,1,8,5,7,1,6,2,7,1,6,1,27,1,29,1,30,1,27,1,28,1,29,2,28,4,29,1,28,9,27,1,28,1,30,3,27,2,25,1,27,1,8,1,27,1,26,1,24,1,25,1,29,1,7,1,29,1,30,1,6,2,29,2,30,1,29,1,25,1,29,1,27,1,28,1,29,1,25,1,26,1,6,1,25,1,29,1,26,1,25,1,24,1,13,1,24,2,10,1,24,1,12,1,10,1,12,1,17,2,10,1,11,1,24,1,12,1,10,1,12,1,9,1,10,2,12,3,17,2,12,1,8,1,24,1,8,1,24,1,10,1,8,1,24,5,12,4,17,5,10,1,17,2,12,1,17,1,12,1,17,3,10,3,9,1,24,1,10,1,24,1,12,1,24,1,12,3,10,1,24,1,12,3,10,1,12,1,24,1,8,1,7,1,28,35,10,1,12,1,17,1,12,1,9,1,12,1,10,1,12,1,10,1,24,1,10,1,8,1,9,1,12,1,8,2,24,2,12,1,13,1,24,1,8,1,24,1,8,1,24,3,10,1,24,1,10,1,24,1,13,1,7,1,24,1,6,1,7,1,6,2,8,1,24,2,8,1,24,1,13,1,12,2,24,2,12,1,24,1,17,1,24,1,13,1,17,1,10,1,12,1,9,1,12,4,10,1,12,1,17,2,12,2,10,1,17,1,9,1,8,1,17,1,12,1,17,1,9,1,12,1,10,1,17,1,12,1,9,1,12,1,17,1,12,1,24,2,10,1,12,1,9,1,17,1,12,1,10,1,17,8,12,1,17,6,12,1,17,9,12,2,17,1,11,1,17,1,9,1,28,7,30,2,28,7,30,1,6,1,30,1,28,29,30,1,6,1,13,2,7,1,13,2,8,2,7,1,8,2,13,1,9,1,10,1,9,1,10,1,12,1,9,1,13,1,11,1,9,1,11,3,8,1,10,1,9,1,17,4,12,1,11,1,9,1,8,1,13,1,8,1,6,1,13,1,8,1,6,1,7,1,8,1,13,1,8,1,13,1,8,1,13,6,6,4,13,1,6,1,13,1,6,1,30,2,28,1,13,1,9,2,13,1,8,1,6,2,28,2,6,1,28,31,13,3,28,3,30,1,28,1,6,1,30,1,6,2,13,1,30,1,8,1,13,1,7,1,13,1,8,1,13,1,9,1,13,1,11,1,9,1,13,1,6,1,30,1,28,125,30,2,16,1,17,1,12,1,17,1,12,1,9,1,13,1,8,1,13,1,7,1,6,2,29,1,30,3,13,2,6,1,13,1,8,1,9,2,24,1,10,1,9,1,12,1,8,1,7,1,28,8,13,1,10,1,6,3,28,35,9,1,15,1,9,1,30,1,28,1,30,1,13,1,8,2,30,1,29,1,30,1,28,3,29,1,28,1,6,1,13,1,24,1,10,1,8,1,30,1,28,4,30,1,9,1,11,1,6,1,28,5,6,2,13,2,15,1,10,1,14,1,11,1,24,1,6,1,28,1,29,1,24,1,9,2,8,1,28,2,30,1,13,1,6,1,8,1,28,17,30,1,28,3,30,1,28,1,29,1,30,2,28,24,6,2,17,1,}, {6,2,7,1,30,2,6,1,28,1,30,2,28,2,6,3,13,1,6,3,30,2,6,1,13,1,28,1,6,4,13,2,30,1,6,1,13,1,30,1,6,1,28,1,30,2,7,1,13,1,9,1,17,1,9,1,17,1,11,1,17,1,8,1,13,2,6,2,30,1,28,2,6,1,13,1,24,1,8,1,7,1,30,1,28,1,30,1,28,2,29,1,8,1,10,1,8,1,13,1,30,1,28,10,30,1,8,1,10,1,30,1,28,38,30,1,6,1,28,4,30,1,6,3,13,1,24,1,12,1,8,1,7,1,6,1,29,1,30,1,8,1,9,1,12,1,13,1,7,1,28,2,6,1,29,1,6,1,7,1,13,1,29,1,28,5,6,1,28,1,7,1,13,1,6,1,16,1,13,1,6,1,30,3,28,1,6,1,8,1,10,1,17,1,8,1,9,1,8,1,6,1,13,1,8,1,10,1,13,1,24,2,12,1,9,1,15,1,10,1,7,1,28,1,30,1,29,1,30,1,29,1,28,35,29,1,30,3,6,1,8,1,9,1,8,1,28,2,29,1,30,1,6,1,9,1,17,1,15,1,9,1,10,1,24,1,8,1,29,1,13,1,6,1,13,1,30,1,6,1,7,2,6,1,29,1,30,1,29,2,6,1,29,1,8,1,13,1,8,1,24,1,10,1,9,1,15,1,14,2,8,1,28,15,13,2,30,1,6,1,29,1,30,2,6,1,28,1,6,3,28,1,13,1,28,1,6,1,30,2,6,1,8,1,13,2,8,1,11,1,9,2,16,1,11,1,10,1,11,1,16,1,8,1,11,1,10,1,11,2,9,1,16,2,11,3,9,1,16,1,9,1,13,1,9,1,16,1,9,3,17,1,9,1,11,2,16,3,17,1,16,1,17,1,16,1,17,2,16,1,9,1,17,1,16,1,11,1,9,1,11,1,16,1,17,1,11,1,17,1,16,4,17,2,11,1,16,3,9,2,16,1,11,1,8,1,11,1,9,1,11,1,10,2,9,2,11,1,10,1,11,1,9,3,11,5,17,2,9,2,17,1,16,2,17,1,16,2,11,1,17,2,16,1,17,2,11,2,17,1,16,1,17,1,16,1,11,1,16,1,17,1,16,2,17,2,11,1,17,1,11,1,9,1,13,1,8,1,13,2,9,3,13,2,9,1,13,1,9,3,11,2,9,1,11,2,6,2,29,1,30,1,6,1,29,1,13,1,28,1,30,1,13,1,8,1,30,1,13,3,6,1,13,3,6,1,8,1,13,2,8,2,6,1,13,1,8,2,13,2,6,1,13,3,11,1,9,2,16,1,11,1,16,1,11,1,17,2,16,1,17,1,16,1,11,1,16,2,11,3,16,3,11,2,9,2,8,1,9,3,8,1,11,1,13,1,9,1,10,1,8,1,13,1,8,1,16,1,9,1,13,1,9,3,13,1,11,1,9,3,13,1,9,2,10,1,13,1,10,1,11,1,9,6,16,1,10,1,11,1,9,2,11,1,9,2,10,1,11,1,13,2,9,1,10,1,11,1,9,1,11,1,10,1,9,1,11,2,9,1,11,3,10,1,11,1,16,1,9,2,11,1,9,3,13,1,10,1,8,1,12,1,13,1,24,1,13,1,6,1,7,1,29,2,28,1,13,1,30,1,28,5,30,1,28,17,30,1,7,1,17,7,16,3,17,1,16,1,11,2,16,1,11,1,9,1,16,1,17,1,9,1,11,2,8,1,13,1,6,1,13,2,7,1,6,2,30,1,6,3,28,1,30,1,28,1,30,1,28,11,30,1,28,1,30,3,6,2,13,1,30,1,28,2,30,1,28,7,29,1,30,2,28,6,30,1,28,11,30,1,29,1,30,2,6,2,13,2,8,1,10,1,9,1,16,2,11,2,17,3,11,1,17,8,16,1,17,4,16,1,17,2,10,1,11,1,17,2,11,1,17,1,11,1,17,2,16,1,17,1,16,1,17,5,16,1,17,1,16,1,17,4,16,2,17,9,16,1,10,1,12,1,9,1,8,1,13,2,6,1,13,1,29,1,6,1,29,1,30,1,28,37,7,2,30,1,28,2,30,1,28,9,29,1,28,29,29,1,30,1,6,1,13,1,7,1,13,3,8,1,13,1,8,2,9,1,13,3,6,2,13,1,6,2,7,1,29,1,13,3,10,1,11,1,10,1,9,2,12,1,10,1,9,1,16,2,11,2,16,3,11,2,16,1,9,3,13,1,9,2,13,1,8,1,9,1,8,1,9,1,17,37,16,1,13,1,7,1,6,2,13,1,10,1,17,1,9,2,8,1,11,1,16,1,11,1,16,1,11,8,16,11,11,1,16,1,11,2,16,1,9,6,11,1,9,2,11,1,9,1,11,4,16,1,17,1,16,1,11,1,16,3,11,1,17,5,16,1,11,1,17,1,16,1,9,1,11,3,9,1,16,3,11,1,16,10,17,1,16,1,17,1,6,1,28,1,13,1,9,1,13,1,28,2,6,1,13,4,9,1,13,1,9,1,13,2,30,2,6,1,30,10,28,1,9,1,13,1,30,1,6,3,30,2,28,1,30,2,28,1,30,2,28,1,6,1,30,2,6,1,28,1,30,3,7,1,29,1,6,1,30,4,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,30,5,28,1,30,2,28,2,30,2,28,1,30,3,6,1,30,6,6,1,30,1,6,1,30,1,29,1,30,3,28,1,30,5,6,1,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,2,29,1,6,1,30,2,29,1,30,2,13,1,6,2,30,4,6,1,28,1,30,2,28,1,13,1,29,1,6,3,30,1,6,2,29,2,30,1,28,1,30,1,6,2,7,1,30,1,28,1,6,2,28,1,30,1,6,1,30,4,29,1,30,2,6,1,30,1,6,2,30,1,6,1,7,1,6,3,30,2,6,2,30,1,6,2,30,1,29,1,6,3,30,1,7,1,30,1,6,1,29,1,6,1,29,1,30,1,29,1,30,1,6,1,30,4,29,1,30,2,29,2,30,1,6,2,30,2,6,3,28,1,29,1,30,1,6,1,30,3,6,1,30,1,29,1,30,2,6,2,30,1,28,1,6,1,30,2,6,2,13,1,30,5,6,1,30,1,6,1,30,3,29,1,30,1,6,1,30,2,6,1,30,1,6,6,7,1,6,3,28,1,6,5,29,1,6,3,7,1,6,3,7,1,6,2,13,1,30,2,6,3,13,1,6,3,30,1,6,3,13,1,6,1,13,1,6,1,13,1,7,2,30,1,6,3,7,1,6,1,7,1,13,3,6,2,13,1,30,1,6,2,30,1,6,1,30,1,29,1,6,1,30,1,6,2,30,1,6,1,30,3,13,1,30,1,6,2,13,4,8,1,30,1,28,5,30,2,28,1,30,4,29,1,30,4,28,2,30,2,28,2,30,2,28,17,6,1,29,1,13,1,8,1,13,1,28,46,30,1,28,2,6,1,13,1,9,1,11,1,12,1,11,1,9,2,8,1,9,1,8,1,9,1,11,1,9,2,10,1,12,1,11,2,16,4,17,1,11,2,17,1,11,1,9,2,17,1,16,2,11,2,9,1,11,4,10,1,11,1,12,1,10,1,11,3,9,1,10,1,9,2,10,1,9,1,11,2,12,1,10,1,11,1,12,1,17,2,12,1,10,1,11,1,9,4,10,1,8,1,13,1,8,1,9,4,8,2,9,1,13,1,24,1,9,1,24,1,8,3,10,1,11,1,13,1,9,1,11,1,9,1,8,1,10,1,8,1,11,1,9,1,11,1,9,2,12,1,24,1,9,1,8,1,9,1,24,1,7,2,12,1,24,2,8,1,7,1,8,3,6,1,7,1,25,1,30,1,29,1,30,2,28,1,29,1,30,2,29,1,28,1,29,1,28,3,30,1,28,6,29,1,30,1,28,2,8,1,29,1,26,1,25,2,27,1,6,1,8,1,10,1,8,1,29,1,7,1,28,1,25,1,29,2,30,1,28,1,26,1,29,1,6,1,29,1,25,2,26,1,25,1,6,1,24,1,8,2,25,1,10,1,25,1,24,1,10,1,24,1,9,1,12,3,17,1,24,1,9,1,12,1,17,1,9,1,17,1,12,1,17,2,12,2,24,1,10,2,12,1,24,1,8,1,24,1,8,1,24,1,12,1,10,1,12,1,10,2,8,1,24,1,10,1,17,1,12,1,17,1,9,1,24,1,17,1,12,3,10,1,17,3,9,2,12,3,10,1,12,1,9,1,24,2,12,1,24,1,12,1,10,2,12,4,9,2,17,1,10,2,8,1,7,1,28,35,12,1,9,1,10,1,24,1,12,2,13,1,24,1,8,1,10,1,9,1,24,1,9,1,24,2,8,3,24,2,8,1,13,1,9,1,8,2,12,1,13,1,24,1,9,1,8,1,24,1,10,1,24,1,8,2,24,1,8,1,24,2,8,3,12,1,24,1,10,1,24,2,12,1,10,1,12,1,10,1,24,2,12,1,17,1,12,2,10,1,17,1,12,1,9,1,12,1,17,1,9,1,10,1,17,1,8,1,12,1,17,1,9,2,10,1,12,2,17,1,10,2,9,1,12,2,10,1,24,1,10,1,12,1,8,1,12,1,9,1,12,1,17,2,9,1,17,1,12,1,17,1,12,1,17,27,7,1,28,5,9,1,6,1,28,7,6,1,7,1,30,1,28,29,30,1,7,1,13,1,8,1,6,1,7,1,13,1,8,1,7,1,13,1,8,1,13,1,9,1,8,1,9,1,10,2,12,2,9,1,13,1,11,1,10,1,9,1,12,1,17,1,9,1,10,1,9,1,17,6,9,1,8,1,7,1,13,5,6,1,13,3,8,1,11,1,9,1,13,5,8,1,6,1,13,1,7,1,6,2,13,1,6,1,13,1,7,1,6,1,9,2,13,1,6,1,13,1,6,1,13,1,28,1,30,1,28,32,13,1,8,1,13,1,7,1,28,3,30,1,28,1,30,2,6,1,13,2,6,1,13,11,9,1,13,1,8,1,9,1,8,1,13,3,8,1,6,3,28,100,30,1,28,14,6,1,11,1,17,2,12,2,9,1,24,1,13,1,29,1,7,1,29,3,28,1,29,1,30,2,13,3,6,1,13,1,8,1,24,1,8,1,9,1,8,1,24,1,9,1,28,8,24,1,12,1,13,1,24,1,29,1,28,34,6,1,12,1,9,1,8,1,28,2,30,1,24,2,12,1,24,1,6,1,28,6,29,1,6,1,8,2,9,1,28,5,30,1,9,1,12,1,6,1,28,5,6,1,13,1,6,1,8,2,14,1,10,1,24,2,7,1,6,2,13,1,14,1,9,1,8,1,28,2,6,1,7,1,6,1,24,1,30,1,28,25,30,1,28,23,6,1,24,1,8,1,}, {30,1,13,1,28,1,30,1,28,5,6,1,28,2,29,1,28,1,6,1,28,1,29,1,30,1,28,3,6,1,30,1,28,1,30,1,8,1,30,1,13,1,6,1,28,1,29,1,13,1,29,1,28,1,30,2,28,1,6,1,29,1,11,1,17,1,12,1,17,3,9,1,6,1,13,1,8,1,6,1,30,2,7,1,6,1,13,1,24,2,9,1,6,1,28,4,30,1,13,1,8,1,13,1,29,2,28,10,7,1,8,1,10,1,28,30,29,1,28,6,29,2,28,2,30,1,28,2,30,1,28,1,6,1,29,1,6,1,8,2,17,1,7,1,6,2,29,1,28,1,13,1,12,1,8,1,13,1,30,1,6,1,13,1,6,1,24,1,6,2,30,1,29,1,28,5,6,1,28,1,29,1,6,1,13,1,12,1,13,1,28,2,6,1,30,2,28,1,9,1,13,1,17,1,24,1,13,1,6,1,7,1,8,2,9,1,8,2,13,1,9,1,8,1,12,1,15,1,24,1,6,1,30,1,29,2,6,1,30,1,28,13,29,1,28,21,6,1,28,1,29,1,6,1,9,1,24,1,7,1,28,4,7,1,8,1,17,2,13,1,10,1,13,3,8,1,13,1,28,1,7,1,6,1,13,1,6,1,29,1,30,1,29,2,30,1,6,4,24,1,8,1,24,1,15,1,9,1,17,1,14,1,9,1,28,15,30,1,6,1,30,1,13,1,30,2,6,1,28,1,30,2,29,1,13,1,30,1,6,1,28,2,13,1,28,1,8,1,13,2,9,3,11,1,9,5,11,2,10,1,17,1,16,1,9,1,16,1,11,1,10,1,16,2,11,1,9,1,11,1,16,2,11,1,16,1,11,2,16,1,11,2,16,1,9,2,16,1,11,1,17,1,11,1,17,1,16,2,11,1,16,1,11,1,17,1,16,1,11,1,10,1,16,4,17,2,16,4,17,1,16,1,11,2,10,1,13,1,9,1,16,1,8,1,9,2,13,1,11,1,9,2,16,1,10,1,9,1,16,1,9,4,16,1,10,1,11,1,17,1,16,3,17,1,16,1,17,1,16,1,9,1,11,1,16,3,17,1,16,1,17,1,16,1,17,1,16,2,11,1,17,1,16,1,17,1,16,3,17,1,9,1,11,1,17,1,9,1,16,1,11,1,16,1,13,1,8,4,9,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,1,11,1,8,1,9,1,10,1,9,1,6,1,30,1,6,4,7,1,6,1,7,1,6,1,7,2,13,1,6,2,7,2,6,1,8,1,13,7,8,1,13,1,8,1,7,1,9,1,6,1,13,1,8,2,13,2,9,1,16,1,9,1,11,1,16,1,17,1,16,4,17,1,9,1,16,2,11,1,16,3,9,1,11,3,16,1,11,3,9,3,8,1,9,1,10,1,9,1,13,1,9,3,8,1,9,5,8,1,9,1,8,2,9,2,11,1,13,1,10,1,13,1,8,1,11,1,8,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,8,1,11,1,9,3,11,1,9,1,11,1,9,3,16,1,9,1,11,1,8,1,9,3,11,1,16,1,10,1,16,1,9,1,11,2,9,3,8,1,9,1,8,1,9,1,8,1,9,2,8,2,7,2,13,1,6,3,30,2,28,1,30,1,28,21,6,1,11,1,17,7,16,1,11,1,17,1,9,1,17,1,11,1,17,1,16,3,11,2,17,1,9,1,24,2,8,1,6,2,9,1,29,1,24,1,29,1,30,3,28,1,30,1,28,3,30,1,28,7,30,1,28,1,30,2,28,1,7,1,28,1,29,1,30,4,6,1,28,4,6,1,28,1,29,1,6,1,28,1,30,2,7,1,28,21,30,1,13,1,6,1,13,2,9,1,8,1,16,1,11,2,17,6,11,1,17,1,11,1,17,8,16,2,17,4,16,1,17,1,11,2,17,1,11,2,16,1,17,1,10,1,16,1,17,3,16,1,17,6,11,1,17,9,16,1,17,2,10,1,16,1,8,2,7,1,6,2,13,1,6,2,29,1,28,38,6,1,8,1,28,1,6,1,7,1,28,8,30,1,28,32,29,1,6,1,7,1,6,2,7,3,13,4,8,3,13,4,30,1,13,1,8,2,13,2,10,1,9,7,11,2,9,1,11,4,17,1,11,1,16,1,9,1,11,1,8,1,9,1,13,1,8,3,13,1,9,1,11,1,17,43,16,6,11,1,16,1,11,1,16,1,11,5,16,12,11,3,16,1,11,3,9,1,11,1,9,5,11,2,9,2,11,2,9,1,16,1,9,1,11,2,9,2,11,1,9,1,11,3,16,1,11,1,9,1,11,3,16,1,11,2,16,1,11,2,16,2,11,3,16,5,17,2,16,1,17,1,16,1,17,1,9,1,28,1,9,2,13,1,28,2,7,1,13,1,9,1,13,2,8,1,13,2,6,1,28,1,30,4,28,1,30,3,29,1,30,2,6,1,30,2,13,3,6,2,7,1,6,1,28,1,30,2,28,1,30,3,28,1,30,1,29,1,30,1,6,1,30,1,6,3,13,1,6,1,29,1,28,2,30,1,28,1,30,1,28,1,30,8,6,2,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,2,29,1,30,3,6,1,30,2,6,2,30,2,6,1,30,3,6,2,29,1,6,1,30,2,6,1,30,4,6,1,30,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,13,1,6,1,29,1,6,2,30,1,6,2,30,1,13,1,7,1,6,8,30,1,6,1,30,2,6,1,30,2,6,2,30,3,6,1,30,1,6,1,30,3,6,2,30,2,28,1,6,1,28,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,29,1,30,5,6,2,30,2,29,1,30,1,29,1,30,1,28,1,30,3,6,1,30,1,29,1,6,1,29,2,6,1,30,1,29,1,30,2,28,1,6,2,30,1,28,1,30,2,6,1,28,1,30,1,6,1,30,2,6,3,29,1,6,1,29,1,6,1,30,1,6,2,30,1,29,1,6,1,29,1,30,1,6,1,28,3,6,1,30,3,6,1,28,1,30,2,6,1,30,2,6,1,30,1,6,1,30,3,29,1,30,3,6,2,30,1,6,3,30,1,6,1,30,1,6,3,13,1,6,3,7,1,6,2,13,1,6,2,29,2,13,1,6,1,13,1,6,2,30,1,6,1,30,1,6,2,30,1,6,1,13,2,6,1,7,1,13,1,29,1,13,1,7,1,6,7,29,1,30,1,7,1,6,3,30,1,6,1,30,1,28,1,6,4,30,2,6,2,30,1,29,1,6,1,30,2,6,1,30,1,6,3,7,1,13,2,9,3,29,1,28,3,6,3,30,3,28,1,30,2,29,1,30,3,6,1,30,5,28,1,30,2,28,10,8,1,28,6,30,1,7,1,13,1,8,1,28,46,30,1,28,1,7,1,28,2,13,1,10,1,11,1,10,1,9,3,8,1,11,1,8,1,11,1,10,2,11,2,12,1,17,4,11,1,17,2,12,1,17,1,11,2,9,2,11,2,16,2,17,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,9,1,11,1,9,1,12,1,10,1,9,3,10,1,9,1,11,2,10,1,12,1,11,1,9,1,11,1,17,1,9,1,10,1,11,1,10,1,12,1,9,2,11,1,9,1,12,1,8,1,24,1,8,2,9,1,24,1,9,1,10,1,8,1,13,1,10,1,8,1,11,1,9,2,8,1,24,1,8,1,9,1,10,2,24,2,11,1,24,1,12,2,9,3,10,2,9,2,8,2,13,1,7,1,13,2,24,3,8,1,13,1,24,1,6,1,8,1,30,1,26,1,27,1,26,1,30,1,26,1,6,1,28,1,29,2,30,1,29,1,28,1,30,1,28,1,30,1,28,2,29,1,28,3,30,2,24,1,27,2,30,1,25,3,26,1,24,1,8,1,25,1,24,1,29,1,7,1,6,1,7,1,27,1,30,1,25,1,29,1,26,1,6,1,29,1,6,2,8,1,6,1,25,3,6,1,10,1,8,1,24,1,10,1,24,1,8,1,24,1,10,1,12,1,17,1,12,1,17,1,10,1,17,1,10,1,17,1,12,1,10,1,17,1,10,1,12,1,17,1,12,1,24,1,10,2,12,2,24,1,17,1,8,1,12,1,24,2,17,1,12,1,10,1,24,1,7,1,12,1,17,1,12,1,17,1,12,4,24,1,17,1,10,1,17,3,12,1,24,1,10,1,12,1,10,1,12,1,24,1,10,1,24,1,10,1,12,1,24,1,12,1,10,1,17,1,12,1,10,1,12,1,9,1,17,1,12,1,9,1,24,1,10,1,24,1,6,1,28,34,8,1,9,1,11,1,12,1,9,1,12,1,24,1,9,5,10,2,24,1,10,1,9,1,24,1,12,1,9,1,24,1,8,1,24,1,9,1,12,1,8,1,10,1,24,2,12,1,8,1,13,1,8,1,24,1,8,1,24,1,13,2,6,1,24,1,12,1,24,1,13,1,8,1,24,2,12,1,10,1,24,3,8,1,24,2,10,1,17,1,9,1,8,1,24,1,10,1,12,1,17,1,10,1,12,1,10,1,17,1,9,1,10,2,8,1,17,1,9,1,12,4,17,3,10,1,12,1,10,1,12,1,17,1,24,1,10,2,9,2,12,3,17,1,12,2,17,5,12,1,17,2,12,1,17,9,12,1,17,5,12,1,17,3,10,1,28,4,6,1,9,1,28,8,29,1,28,30,30,1,13,4,7,1,8,1,7,1,13,1,7,1,13,3,24,3,10,1,11,1,10,2,9,2,10,1,11,2,12,1,9,2,10,2,17,6,8,3,13,2,8,1,9,1,13,1,8,1,13,1,9,1,13,4,9,1,6,1,13,2,6,1,13,3,7,1,30,1,13,2,6,1,13,1,6,2,9,2,13,2,8,1,6,2,30,1,28,1,30,1,28,31,8,1,13,2,9,1,13,1,30,2,28,2,6,1,30,1,6,2,13,3,9,1,6,1,13,1,9,1,13,1,8,1,9,2,13,2,7,1,13,1,6,1,13,3,6,2,29,1,28,2,30,1,6,1,30,2,6,1,30,1,13,1,7,1,13,1,6,2,30,2,28,92,30,1,28,7,30,1,28,2,30,1,16,1,14,1,17,1,11,1,12,2,8,1,13,1,6,3,29,1,6,1,28,1,6,4,13,1,6,1,9,1,8,1,10,1,12,1,15,1,9,1,24,1,9,1,8,1,28,7,30,1,12,1,8,2,29,2,28,34,29,1,8,1,9,1,8,1,30,1,28,1,29,1,13,1,8,1,7,3,29,1,30,1,28,3,30,1,7,1,13,1,24,1,8,1,13,1,28,5,29,1,24,1,8,1,30,1,28,5,7,2,6,1,13,1,10,1,12,1,15,1,24,1,9,1,6,2,7,1,8,1,12,1,15,1,13,1,28,2,29,1,6,2,8,1,28,28,30,1,28,1,30,1,28,1,30,1,28,17,30,1,17,1,9,1,}, {28,1,6,1,28,1,6,2,30,1,28,4,30,1,28,1,6,1,30,1,29,1,30,1,28,4,30,2,28,1,29,1,28,1,6,1,29,1,6,3,30,1,6,1,7,1,30,2,29,1,28,2,30,1,8,1,12,1,17,1,12,2,9,1,8,2,6,1,30,1,7,1,6,1,28,1,29,1,30,1,29,1,8,1,24,1,28,5,30,1,28,1,13,1,12,1,6,1,8,1,30,1,28,11,24,2,29,1,28,27,30,1,28,1,29,1,6,1,30,1,24,1,29,1,28,7,30,1,28,1,6,1,29,1,30,1,6,2,8,1,7,1,10,1,8,1,29,1,28,1,29,1,28,1,7,1,12,1,8,1,6,1,28,1,6,2,7,1,6,1,13,1,6,1,28,8,30,1,13,3,9,2,30,1,28,4,29,1,13,1,24,1,12,1,9,1,24,1,6,1,7,1,24,2,13,2,6,2,8,2,9,1,14,1,6,1,30,1,29,1,30,1,29,1,6,1,29,1,28,35,29,1,28,1,30,2,9,1,15,1,6,1,28,5,8,1,12,1,10,2,9,2,24,1,13,2,7,1,30,1,13,1,6,2,28,1,6,1,30,3,6,1,29,1,6,2,8,1,13,1,24,1,8,1,10,2,17,1,14,1,16,1,28,15,6,1,13,1,6,2,30,1,7,1,29,2,6,4,29,2,6,1,28,1,30,1,29,2,13,1,11,1,13,1,8,1,9,1,16,1,9,1,10,1,11,1,9,1,17,1,11,1,13,1,17,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,11,3,17,1,16,1,11,1,16,2,17,1,9,1,11,1,16,2,11,1,16,1,9,1,17,1,9,1,16,1,9,1,17,1,11,1,16,1,11,3,16,1,11,1,17,1,11,1,17,1,16,1,11,1,16,4,11,2,16,1,9,1,13,1,10,1,16,2,9,1,11,1,10,1,9,1,11,1,9,1,11,1,17,1,11,2,17,1,10,1,9,3,13,1,17,1,13,1,9,2,16,1,9,1,16,1,11,1,10,1,11,2,16,1,17,1,16,1,17,1,16,1,11,1,17,1,16,1,11,1,16,3,17,1,16,1,17,1,11,1,16,1,17,1,11,1,17,1,16,1,11,1,17,1,16,1,9,1,17,1,16,2,13,1,6,1,13,4,10,1,9,3,7,1,8,1,9,2,17,1,10,1,16,1,9,2,8,1,6,1,30,1,6,1,7,1,30,1,7,1,30,1,6,1,13,1,6,1,29,1,8,1,6,1,8,1,13,1,6,1,7,1,13,2,6,1,13,2,7,1,6,1,8,1,6,1,8,3,9,1,13,1,8,3,9,3,16,1,9,1,16,1,17,2,11,1,9,1,16,1,11,1,16,1,9,1,16,2,9,1,16,1,11,1,16,1,11,2,10,1,11,2,9,7,13,1,8,2,13,1,8,1,9,2,8,1,13,1,8,1,9,2,11,1,9,1,8,1,13,1,10,1,8,1,9,3,8,1,9,3,13,1,11,1,16,1,9,2,8,1,11,1,8,1,9,1,10,5,9,3,11,1,9,3,17,1,9,1,10,2,9,1,11,1,9,4,10,1,8,1,16,1,9,1,10,1,8,1,9,2,10,1,13,1,10,1,8,1,7,1,8,1,24,1,7,1,6,1,29,1,6,2,29,1,28,23,29,1,6,1,24,1,17,7,16,1,17,1,16,1,17,1,16,1,10,1,11,1,10,1,17,2,11,1,10,2,9,1,24,1,13,2,8,1,24,1,8,1,13,1,30,1,29,1,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,2,30,1,28,6,29,1,28,1,29,2,28,1,30,1,28,1,6,1,30,1,6,1,29,1,6,1,30,2,29,1,30,1,28,1,30,1,28,3,30,1,29,1,30,1,29,1,30,1,28,17,29,1,30,2,28,1,13,2,8,3,13,1,10,1,12,1,11,1,17,1,12,1,17,1,12,1,11,1,17,7,16,1,17,1,16,1,17,3,16,1,11,1,17,1,11,1,17,1,16,1,17,2,11,1,16,1,11,1,16,1,17,1,16,1,17,1,16,1,11,1,9,1,16,1,17,1,16,1,17,16,16,1,17,1,16,1,11,2,8,1,9,1,6,1,7,1,6,1,29,1,7,1,29,1,28,1,30,1,28,36,8,1,29,1,28,1,6,1,28,26,30,1,28,14,29,2,6,1,30,1,13,1,7,1,13,1,6,2,13,2,8,1,9,1,8,1,13,3,6,1,13,1,8,1,6,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,12,1,9,1,11,1,9,1,16,1,11,1,10,2,16,1,11,1,9,1,17,1,16,2,8,1,11,1,13,1,8,1,13,1,7,1,13,1,8,3,10,1,17,13,10,1,11,1,17,29,16,4,11,1,16,3,11,4,16,1,11,4,16,9,11,3,16,1,11,1,16,2,11,2,9,2,11,5,9,2,11,1,9,2,11,1,9,2,11,1,16,1,9,1,11,1,9,2,10,1,11,6,16,7,11,3,16,10,17,1,16,1,17,1,11,1,28,1,13,1,9,2,6,1,7,1,13,2,9,1,13,1,9,1,8,1,13,1,9,1,13,2,30,1,6,1,30,2,6,1,29,1,30,1,6,1,30,2,29,1,30,1,6,1,30,1,13,1,9,1,29,1,6,1,30,1,6,1,30,4,28,1,30,4,6,1,30,1,6,2,28,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,28,1,6,1,30,1,29,1,30,3,28,1,30,1,6,1,30,3,29,1,6,1,30,7,28,2,30,2,6,1,30,2,29,2,6,3,29,1,30,1,6,2,29,1,6,1,30,1,6,1,30,2,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,2,6,2,30,1,6,1,30,1,6,3,30,1,6,1,13,1,6,2,30,2,7,1,28,1,6,1,28,1,30,1,6,4,13,1,6,2,30,1,6,3,30,2,29,1,6,1,30,3,6,2,30,1,6,1,30,3,6,1,29,1,30,1,6,2,30,6,6,2,30,1,13,2,30,1,13,1,30,5,29,1,28,1,29,1,30,1,28,1,6,4,30,2,6,4,30,1,6,1,30,4,6,1,30,2,6,1,30,1,6,2,30,2,6,1,30,2,6,1,30,2,6,2,30,2,6,1,30,1,6,1,28,1,30,1,29,1,30,2,6,2,30,2,6,1,29,1,6,1,30,2,6,1,30,3,6,1,30,2,28,1,30,2,28,2,30,3,6,1,30,2,6,1,29,1,30,1,6,1,30,1,29,1,6,1,30,1,6,3,30,1,6,2,30,1,6,2,13,1,6,2,13,1,7,1,13,2,6,4,13,1,30,1,6,1,29,1,13,1,6,7,30,1,13,1,6,1,7,2,13,1,30,1,6,1,7,2,6,3,30,1,6,6,29,1,7,1,30,1,6,1,30,3,6,1,30,1,29,1,6,2,28,1,30,1,28,2,30,1,28,1,30,2,6,1,13,2,9,2,13,1,30,2,28,2,6,1,30,2,28,2,30,2,28,2,30,3,28,3,30,1,13,1,28,1,30,6,28,9,30,1,28,5,6,1,7,2,8,1,6,1,28,51,7,1,12,1,10,1,9,6,17,1,12,1,11,1,12,1,11,1,12,1,16,1,11,2,12,1,16,1,17,6,16,1,11,1,16,2,17,1,16,1,17,1,12,1,10,4,12,1,10,1,11,2,9,1,10,3,17,1,9,2,11,1,9,2,11,1,10,1,11,4,17,1,9,2,11,1,12,1,9,1,11,1,12,2,9,1,10,1,9,1,12,1,9,1,13,1,8,2,24,2,9,1,8,1,13,1,10,1,8,1,24,1,9,2,8,1,10,1,8,1,9,1,8,1,10,1,11,1,9,1,8,1,9,3,11,1,10,1,8,1,10,1,9,2,10,2,24,1,13,1,8,2,13,1,10,1,24,2,7,1,10,1,6,1,13,1,6,1,25,1,29,1,27,1,29,1,6,1,30,1,29,1,6,1,25,1,28,1,29,1,30,3,28,3,29,1,28,1,29,1,28,1,29,1,28,2,27,1,25,1,26,2,25,1,27,2,8,1,25,1,6,1,24,1,8,1,25,1,29,1,25,1,26,1,8,1,27,1,25,1,8,1,24,1,25,1,8,1,25,1,8,4,24,1,8,4,24,1,8,2,12,1,24,1,10,1,12,1,24,1,12,1,10,1,24,2,12,1,17,1,10,1,12,1,17,1,12,2,10,1,17,1,8,1,24,1,10,1,24,1,8,1,17,1,10,1,12,1,17,2,24,1,8,1,12,1,8,2,10,2,12,1,10,1,9,1,17,1,12,1,17,1,10,1,17,5,12,1,17,1,12,1,10,1,12,1,17,1,24,1,12,2,17,1,8,1,24,1,12,2,10,1,12,1,24,1,12,3,10,2,12,1,10,1,9,1,13,1,28,34,10,1,11,1,9,1,11,1,24,1,12,1,9,1,10,1,24,1,12,1,9,1,24,1,9,1,24,2,12,1,10,1,9,1,8,1,17,1,13,1,8,1,7,1,8,2,10,1,12,1,8,1,24,3,25,1,8,1,24,1,13,1,7,1,24,1,8,1,7,1,24,2,8,1,10,1,12,1,17,1,10,1,24,1,8,1,9,1,24,4,9,1,12,3,17,2,10,1,9,1,12,1,17,1,12,1,17,2,10,1,24,2,8,1,10,1,12,1,24,1,12,1,17,1,10,2,17,1,9,1,17,1,10,1,17,1,10,1,17,1,12,1,10,1,9,1,12,1,17,1,9,1,12,1,17,1,10,1,17,3,10,1,17,1,12,1,17,1,12,2,17,11,12,2,17,6,12,1,17,2,8,1,28,3,9,1,13,1,28,7,7,1,6,1,28,29,30,1,7,1,13,2,7,3,6,1,13,3,30,1,9,1,7,1,24,1,13,1,10,2,8,1,10,1,12,1,11,1,9,1,8,1,9,1,13,1,11,1,12,1,9,1,8,1,17,6,11,1,9,3,8,1,13,1,9,1,13,1,8,1,11,1,13,1,7,1,13,3,10,1,9,1,13,1,9,1,13,2,9,1,13,3,29,1,13,5,8,1,9,1,8,1,9,1,8,1,13,1,6,1,30,3,28,1,30,1,28,30,9,1,13,4,9,1,6,2,30,1,13,2,9,1,13,1,9,1,7,1,13,4,6,1,13,1,8,1,13,2,9,1,6,1,13,2,6,1,7,1,13,1,8,1,6,2,13,1,7,1,30,1,7,1,28,1,6,1,30,1,6,1,28,1,6,3,13,2,9,1,6,1,13,1,6,1,9,1,6,1,13,2,28,2,30,1,28,83,30,1,28,2,30,2,28,6,6,1,11,1,14,1,17,1,12,1,10,1,6,1,7,1,13,1,29,1,6,1,30,1,6,1,28,1,30,3,7,1,6,2,13,2,9,1,8,1,24,1,8,1,10,1,24,1,12,1,13,1,28,8,12,1,24,1,8,1,29,1,30,1,28,35,12,1,8,1,6,1,28,3,24,1,8,1,13,1,7,1,29,1,28,6,7,1,8,1,24,1,8,1,28,6,30,1,9,1,13,1,30,1,28,5,29,1,13,3,9,1,12,1,9,1,24,1,8,1,29,1,30,1,29,1,9,1,12,1,9,1,29,1,28,2,6,1,7,1,13,1,8,1,28,50,30,1,10,1,24,1,}, {28,1,30,1,28,6,30,1,28,1,30,1,28,1,29,2,28,4,30,1,28,1,30,2,29,1,28,2,6,1,30,1,6,1,29,3,28,2,13,2,6,3,29,1,13,1,11,1,17,1,9,1,10,1,16,1,9,1,13,1,8,1,28,1,6,1,28,1,29,1,28,1,13,1,7,1,8,1,9,1,8,1,29,1,28,5,13,1,12,1,13,1,7,1,29,1,30,1,28,10,6,1,24,1,6,1,28,27,30,1,28,12,30,2,28,1,29,1,28,1,6,1,7,1,30,1,13,1,24,1,17,1,8,1,28,1,30,2,29,1,13,1,9,1,24,1,6,1,30,1,28,1,13,1,28,1,30,1,6,3,28,2,30,1,28,2,30,2,29,1,30,2,8,1,9,1,8,1,13,1,28,1,30,1,28,2,6,1,24,1,9,1,17,1,24,1,8,1,7,1,13,2,24,1,7,1,8,2,7,1,24,2,15,1,12,1,8,1,29,2,6,1,30,1,29,1,6,1,28,33,30,1,28,2,6,1,29,1,6,1,8,1,12,1,24,1,29,1,28,2,30,2,13,1,10,2,11,1,24,1,8,1,24,1,8,1,13,1,30,1,7,2,6,1,29,1,6,2,28,1,29,1,28,1,29,3,7,1,29,1,6,1,24,3,17,2,14,1,16,1,28,2,30,1,28,12,30,1,6,2,13,2,28,1,6,1,30,1,7,1,13,1,28,1,6,1,29,2,28,1,30,1,28,1,30,1,6,1,13,1,8,1,9,4,11,1,9,1,8,1,11,1,8,1,9,1,8,1,11,2,9,1,11,1,9,1,17,1,16,1,11,2,17,1,10,1,11,2,9,1,17,1,11,1,9,1,11,1,9,1,11,1,17,1,11,4,10,1,17,1,16,2,11,1,16,1,17,2,16,1,11,2,9,1,16,1,17,2,11,2,16,1,11,1,9,1,16,1,9,1,11,1,8,1,9,1,16,1,9,1,10,1,16,1,11,1,17,1,9,3,11,2,9,3,10,1,11,1,9,1,11,2,13,1,16,1,9,1,11,1,9,1,11,1,10,1,9,1,16,1,17,1,16,1,9,1,16,1,11,1,16,1,9,1,16,1,9,1,16,1,11,1,17,2,16,1,17,2,11,1,16,2,17,1,16,3,11,1,16,1,11,1,16,3,9,1,8,1,9,1,30,1,8,1,13,1,8,1,13,1,8,1,9,2,8,1,13,1,9,1,13,2,11,2,16,1,8,1,11,1,13,1,30,1,29,1,6,2,29,1,7,1,29,1,7,2,13,3,6,1,30,1,7,1,30,1,6,1,30,1,13,3,7,1,13,3,8,2,13,2,7,1,8,1,6,1,9,1,13,1,9,2,11,2,9,1,11,1,17,1,10,1,16,1,11,1,16,1,11,3,16,1,11,1,17,1,10,1,16,2,10,1,11,2,9,1,11,1,9,4,11,1,9,6,13,1,9,1,13,1,9,1,8,1,9,3,13,2,9,8,8,1,11,1,9,3,11,1,9,2,10,1,16,1,9,2,11,2,10,1,9,1,11,1,10,1,11,1,10,1,9,1,16,1,9,1,11,1,16,1,9,1,11,4,8,1,9,1,16,1,9,1,10,1,9,2,11,1,9,1,8,1,13,2,9,4,6,1,8,1,6,2,8,1,29,1,6,1,30,1,28,25,6,1,9,1,17,8,16,1,17,3,16,1,17,3,11,1,12,1,10,1,9,1,10,1,17,1,10,1,8,1,13,1,7,1,6,1,13,1,30,1,6,3,28,1,30,1,6,1,28,2,6,1,30,1,28,3,30,1,28,1,29,1,28,1,29,1,30,1,29,1,28,3,29,1,30,1,13,1,7,1,6,1,30,1,24,1,13,1,6,1,28,1,30,2,28,1,30,2,28,1,30,3,28,2,30,1,28,17,29,1,6,2,30,1,7,1,6,1,9,1,13,1,9,1,24,1,8,1,11,2,16,1,17,1,10,1,17,1,11,2,17,3,16,1,17,4,11,1,16,1,11,1,17,3,16,3,17,2,16,1,11,1,10,1,11,1,9,1,11,1,17,2,16,1,11,1,16,1,11,4,16,1,17,17,11,2,9,1,13,1,7,1,6,1,13,1,6,1,29,1,28,38,11,1,6,1,29,2,28,42,30,1,29,1,6,1,13,1,6,1,7,1,6,1,24,1,13,3,7,1,9,3,13,1,8,1,6,1,13,1,6,1,13,1,10,1,13,1,9,1,8,1,13,1,9,3,8,1,9,2,11,2,16,1,11,1,9,1,11,4,9,2,8,2,13,1,6,1,8,1,13,1,8,1,13,1,8,1,7,1,17,12,8,3,11,1,17,27,16,9,11,1,16,1,11,2,16,1,11,3,16,2,11,1,16,7,11,1,16,5,11,4,9,1,11,1,10,1,9,1,11,1,9,2,11,1,9,2,11,2,9,5,11,4,16,1,11,2,16,1,11,1,16,8,9,3,16,4,11,1,16,1,17,1,16,5,17,1,16,1,28,1,13,2,9,1,13,1,30,1,13,4,9,3,13,1,8,1,29,1,6,1,30,3,28,1,6,1,30,1,28,1,6,1,30,2,6,1,13,1,6,1,13,1,7,1,6,1,29,1,30,1,6,2,30,1,29,1,28,1,30,2,29,1,28,1,13,1,30,1,6,2,28,1,30,1,13,1,6,1,29,1,9,1,7,1,13,1,29,1,30,3,28,1,30,1,6,1,30,1,28,1,6,1,30,1,29,1,6,1,28,1,6,2,30,2,6,1,30,1,29,1,30,11,28,1,30,1,28,1,6,1,30,1,6,2,28,1,30,1,6,1,30,2,28,1,30,1,6,5,28,1,29,1,30,2,6,2,30,4,6,1,30,1,6,1,29,1,6,2,30,1,6,2,30,2,6,1,28,1,6,1,30,2,6,5,13,1,6,3,29,3,6,1,30,1,6,2,29,1,6,1,30,1,6,3,13,1,30,1,6,2,30,2,6,2,30,1,29,1,6,1,30,3,6,1,29,1,6,6,30,1,6,2,30,1,6,3,30,1,6,1,30,2,28,1,30,1,6,1,30,2,28,1,30,1,6,1,30,2,29,3,30,1,6,1,30,3,6,1,30,1,6,1,29,1,30,2,6,1,28,1,6,2,28,1,30,2,28,1,30,2,6,1,30,2,6,1,28,1,13,1,6,2,30,3,6,2,30,2,13,1,6,2,29,2,6,1,30,1,29,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,29,1,6,1,29,1,30,2,6,2,30,1,6,1,29,1,6,2,29,1,6,1,28,2,6,1,29,1,6,5,7,1,13,1,30,2,6,5,13,1,29,1,30,1,6,2,30,1,7,1,30,1,7,1,6,3,13,1,6,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,6,6,13,1,6,4,30,2,6,1,30,1,6,2,30,2,28,1,30,1,29,1,30,5,28,1,6,1,30,2,6,2,13,1,7,1,8,1,9,1,30,1,6,1,29,1,6,1,13,1,7,1,30,1,28,3,30,4,28,1,30,2,6,1,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,8,6,1,30,1,28,1,30,1,28,2,29,1,6,1,8,1,6,1,30,2,28,27,30,1,28,20,7,1,13,2,9,1,10,1,24,2,12,1,9,1,11,1,12,1,9,1,11,1,10,1,11,1,12,1,11,3,12,1,17,3,16,1,17,2,16,1,17,2,16,2,11,1,16,1,17,1,11,3,10,1,11,1,9,1,10,1,9,2,12,1,11,1,9,2,11,1,8,2,9,1,10,1,9,1,10,1,12,1,10,1,9,1,10,1,11,1,10,1,9,1,11,1,9,1,12,1,9,1,11,1,12,1,9,1,12,1,9,2,8,1,10,1,8,2,13,1,6,1,9,1,8,2,9,3,11,1,9,2,24,1,13,1,17,1,9,1,8,1,9,3,11,1,10,1,24,1,10,1,12,1,8,2,11,1,9,1,24,1,9,2,13,1,8,1,24,1,7,1,24,1,7,1,24,1,7,1,24,1,8,2,13,1,8,1,7,1,29,1,6,1,29,1,26,1,29,1,28,1,29,1,28,1,27,1,28,1,30,1,27,1,30,3,28,1,29,1,28,3,27,1,29,2,30,1,27,1,29,1,27,2,26,1,25,1,8,1,25,1,27,1,25,1,7,1,24,1,6,1,25,1,8,2,25,1,24,1,26,1,24,2,6,1,25,1,24,2,25,1,8,2,24,1,8,1,7,1,10,1,24,1,10,1,24,2,12,1,8,1,24,2,17,1,10,1,24,1,10,1,12,1,17,1,10,1,24,1,17,3,24,1,12,1,10,1,9,1,17,1,13,1,12,1,10,1,12,2,24,1,12,4,17,1,10,1,24,1,17,1,12,2,9,1,12,3,10,1,17,2,12,1,9,1,12,1,17,1,12,1,17,1,9,1,17,1,10,1,24,1,12,2,24,2,12,1,24,1,12,1,24,1,12,1,24,1,17,1,12,4,10,1,12,1,24,1,8,1,13,1,29,1,28,32,13,1,11,1,9,1,12,1,11,2,24,1,9,1,24,2,10,1,8,1,12,1,24,1,10,1,24,1,9,1,10,1,8,1,24,1,9,1,13,1,8,1,10,1,9,1,24,1,12,1,24,3,8,1,24,2,13,1,12,1,8,1,10,1,13,1,24,1,8,1,6,1,24,3,8,4,24,1,10,1,7,1,10,1,24,1,12,1,24,1,12,1,24,1,12,1,9,1,10,1,12,1,17,1,12,1,17,4,9,1,10,1,9,1,10,1,24,1,9,1,12,1,17,1,9,1,12,1,17,1,12,2,17,1,12,2,10,1,9,1,12,2,8,1,12,3,10,1,17,1,12,1,10,1,17,1,12,1,17,3,12,1,17,1,12,1,17,4,12,1,17,5,12,1,17,5,12,1,17,7,10,1,9,1,8,1,28,7,7,1,30,1,28,30,13,2,6,1,13,2,6,1,7,1,13,4,24,1,8,1,7,1,8,1,13,1,24,2,10,2,8,1,10,1,9,1,13,1,9,2,12,1,10,1,17,1,24,1,8,1,17,5,9,4,8,1,9,1,8,1,13,1,6,1,8,1,13,2,6,1,13,4,9,2,8,1,13,4,6,1,9,1,6,2,13,3,9,1,8,1,9,1,13,5,30,1,6,1,28,32,13,1,8,1,13,1,8,1,13,2,7,1,13,1,6,1,7,1,13,2,8,2,13,1,8,1,13,6,8,1,7,1,9,1,8,1,13,2,6,1,13,2,6,1,13,4,6,1,30,1,6,2,30,1,6,2,30,1,13,1,6,1,13,2,29,1,7,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,30,1,13,1,8,1,13,1,17,1,13,1,6,1,13,1,30,1,28,1,6,1,28,25,30,1,28,38,29,1,28,15,7,1,14,1,17,2,14,1,11,1,13,3,6,1,29,1,30,1,28,1,30,1,28,1,29,1,6,1,29,1,6,1,13,3,9,2,24,1,9,3,24,1,6,1,28,7,6,1,24,2,8,1,6,1,28,35,30,1,14,1,8,1,29,1,28,3,8,1,24,1,7,2,6,1,28,2,6,1,28,2,6,1,13,2,24,1,8,1,6,1,28,5,29,1,8,1,12,1,28,5,30,2,7,2,12,1,10,1,12,2,8,2,30,2,6,1,9,2,24,1,13,1,28,2,6,2,8,1,24,1,28,47,30,1,28,1,30,1,13,1,8,1,9,1,}, {28,4,30,1,28,11,29,1,28,1,29,1,6,3,29,1,30,3,6,2,30,1,28,1,30,1,28,2,6,3,13,1,6,1,30,1,13,1,9,1,8,1,9,2,17,1,8,2,13,1,7,1,30,1,28,1,6,1,28,1,6,1,8,2,9,1,6,1,29,1,28,4,29,1,9,1,12,2,6,2,29,1,28,9,30,1,8,1,7,2,28,12,6,1,28,3,30,1,28,1,6,1,28,4,30,1,28,1,29,1,28,12,30,1,28,1,6,1,30,1,28,2,13,1,28,1,6,1,13,1,7,2,9,1,13,1,28,1,6,1,7,1,13,1,6,1,8,1,15,1,8,1,30,1,28,1,29,1,7,1,6,1,29,1,28,3,30,1,28,4,6,1,13,1,7,1,13,2,9,1,24,1,7,1,30,1,29,1,28,2,6,1,7,1,17,1,9,1,12,1,8,1,6,1,8,1,13,2,8,1,7,3,8,1,13,1,24,1,14,1,13,1,7,1,6,3,8,1,6,1,30,1,28,32,30,3,28,1,30,1,6,1,12,1,15,1,24,1,29,1,28,1,30,1,28,1,29,1,24,1,10,1,17,1,15,1,8,1,9,1,13,1,8,1,13,3,29,1,7,1,6,1,28,1,30,2,28,4,30,1,6,2,7,1,24,1,9,1,15,1,17,3,14,1,28,15,30,4,6,1,29,1,30,2,28,2,6,1,30,2,28,2,6,1,28,2,30,1,13,1,8,1,9,1,8,1,13,1,9,2,10,1,8,1,9,3,11,1,10,1,17,1,11,1,16,1,11,1,10,1,11,1,16,1,11,1,9,1,11,3,16,1,9,1,11,1,9,1,11,4,9,1,17,1,8,1,11,1,17,1,16,1,17,2,16,1,11,2,16,1,11,3,9,1,11,1,10,1,16,3,11,1,17,1,11,2,9,1,11,1,9,1,10,1,9,1,16,2,9,1,10,1,11,2,9,3,11,1,9,4,8,1,9,1,11,2,13,1,9,4,10,1,9,1,16,3,17,1,9,1,11,1,16,1,9,1,16,1,17,1,9,1,11,1,17,1,16,1,17,1,16,1,17,1,11,1,16,3,11,1,16,1,17,1,16,2,11,2,17,1,11,3,9,1,13,2,6,1,13,3,10,1,13,2,9,5,11,1,10,1,9,1,16,1,10,2,30,2,28,1,7,1,13,1,28,1,6,2,29,1,7,1,29,1,8,1,6,1,13,1,6,1,13,2,7,1,13,6,8,3,13,3,8,1,7,1,8,1,11,1,8,1,9,1,11,1,12,1,9,2,11,2,16,1,10,1,16,1,11,3,16,2,11,3,16,1,11,1,10,2,9,2,16,1,9,1,11,2,9,1,8,2,9,1,13,1,9,1,8,1,9,1,13,1,9,1,10,1,9,1,8,2,9,1,13,1,11,1,8,2,9,1,8,1,9,3,10,1,9,4,11,2,13,1,11,2,9,2,11,2,9,1,11,2,10,1,9,5,10,1,16,1,11,1,16,1,9,3,10,1,11,2,16,1,9,2,11,1,9,4,8,2,11,1,9,1,8,1,13,1,24,1,7,1,6,2,7,1,29,1,6,1,30,2,28,24,30,1,9,1,17,5,16,1,17,2,16,1,17,1,10,1,16,1,17,1,11,1,16,2,11,1,17,1,11,2,9,1,8,1,13,1,10,1,24,2,13,1,6,1,13,1,6,1,30,1,28,1,29,1,28,1,29,1,28,1,30,2,28,3,6,1,28,5,30,1,28,4,7,1,29,1,6,1,13,1,6,1,7,1,13,1,30,3,28,1,6,1,28,1,7,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,28,17,30,1,29,1,30,1,6,1,13,1,6,1,24,1,13,1,9,1,13,1,9,1,11,1,10,1,17,1,11,1,12,1,17,1,10,1,16,1,17,5,16,3,11,1,17,2,11,1,17,1,11,1,10,1,17,1,9,2,17,3,11,2,9,1,11,1,9,1,11,1,17,1,11,2,17,1,11,1,17,1,16,1,11,1,10,1,17,1,11,1,17,15,11,1,17,1,13,1,11,1,13,2,7,2,6,1,30,2,28,35,13,1,30,2,28,42,30,1,28,1,29,1,30,2,7,1,13,1,6,1,30,1,13,4,8,3,13,2,8,1,13,1,9,2,13,1,9,2,8,2,9,2,8,1,13,1,9,4,8,1,10,1,13,1,16,1,9,2,11,1,9,1,11,1,13,1,8,1,13,1,8,2,13,1,8,1,9,1,13,1,7,1,12,1,17,11,9,1,24,2,9,1,17,28,16,2,17,1,16,1,11,1,16,2,11,1,16,2,11,3,16,2,11,1,16,1,11,1,16,14,11,4,9,1,11,1,9,1,11,1,9,2,10,1,11,4,9,1,13,1,9,1,8,1,9,1,11,1,9,2,11,5,16,3,11,1,16,2,11,3,16,2,11,2,16,1,11,1,16,7,17,1,16,2,17,2,28,1,13,2,9,1,6,2,13,1,9,2,13,1,9,1,13,2,10,1,13,1,30,1,6,1,30,2,6,1,30,1,29,1,30,1,6,1,30,3,13,2,6,1,9,1,6,1,7,1,29,1,6,1,30,6,28,1,6,1,30,3,6,3,30,1,6,2,13,1,6,1,9,1,8,1,30,3,28,1,6,1,28,1,6,1,30,7,6,2,30,1,6,4,30,2,29,1,28,1,6,1,30,1,28,1,30,4,28,1,30,2,6,1,30,2,6,3,30,1,6,2,29,2,6,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,2,6,10,13,1,30,1,6,2,30,2,6,4,13,1,6,2,29,1,13,1,30,1,7,1,6,5,30,2,13,1,9,1,28,1,30,2,6,3,29,1,30,2,6,1,29,1,6,1,30,4,6,1,30,2,29,1,6,2,30,7,6,1,30,1,29,1,30,1,29,1,30,5,6,3,30,1,6,1,30,3,6,1,30,4,29,1,30,1,6,3,30,2,6,2,30,1,6,1,29,1,30,1,6,1,30,1,28,1,30,1,6,2,13,1,7,1,30,1,6,3,30,2,6,1,30,1,6,1,29,1,6,2,29,1,30,1,6,5,30,1,6,1,30,1,6,1,30,3,6,1,30,2,6,1,30,2,29,1,30,1,6,1,28,1,30,1,6,1,29,1,6,2,30,1,6,1,13,1,29,1,6,1,13,1,6,3,13,1,7,1,6,1,13,2,29,1,6,1,13,1,6,2,30,1,6,5,7,1,30,1,6,3,13,2,6,3,13,1,6,2,13,1,7,1,6,4,30,1,6,1,30,3,28,1,6,1,30,3,28,2,30,6,6,1,28,1,30,1,6,1,28,1,6,1,30,1,6,2,8,1,9,1,13,2,6,2,30,2,6,2,30,2,6,1,30,1,28,1,30,1,29,1,28,1,30,2,28,1,6,1,30,1,28,1,30,4,28,2,30,2,28,1,6,1,28,2,6,1,30,1,28,4,7,1,28,2,30,2,8,2,10,1,28,2,6,2,30,1,28,18,6,1,28,5,13,4,6,1,28,15,30,1,8,1,24,1,9,1,11,1,24,1,9,2,13,1,9,1,11,1,10,1,8,2,11,1,9,2,11,2,10,1,12,1,16,1,17,11,11,1,17,2,11,1,10,2,11,1,10,2,9,1,12,1,9,1,12,1,11,1,9,1,10,1,11,1,9,1,12,1,10,2,9,1,8,1,11,1,9,1,11,1,17,1,11,1,9,2,12,1,9,4,11,2,10,2,9,5,8,3,9,1,8,1,11,1,13,1,8,1,9,2,8,1,9,1,13,1,9,1,8,2,10,1,24,1,9,3,24,1,10,1,9,2,8,1,9,1,24,1,13,1,9,1,8,2,13,1,9,1,13,1,8,1,13,1,7,1,24,1,8,1,24,2,8,1,24,1,6,1,8,1,7,1,29,1,30,1,26,1,29,1,30,1,28,4,27,1,29,1,28,5,27,1,28,1,29,2,30,1,25,1,27,1,25,1,8,1,27,1,25,3,8,1,26,1,25,1,29,1,7,1,25,1,24,1,6,1,25,1,29,1,8,1,6,2,25,1,8,1,24,1,8,2,25,1,24,4,8,1,24,1,8,1,10,3,24,2,12,1,10,1,12,3,17,1,12,1,17,1,10,1,17,2,12,3,17,1,12,2,10,1,9,1,24,1,12,1,9,2,10,1,12,1,10,1,12,1,10,1,24,1,12,1,8,1,17,2,10,1,12,1,17,1,12,1,17,1,12,5,24,1,17,2,10,2,17,1,8,1,24,1,12,2,24,1,8,3,12,2,24,1,10,1,12,1,17,1,9,1,10,1,12,2,24,1,10,2,13,1,30,1,28,31,29,1,12,1,10,2,9,1,24,3,9,1,10,1,8,1,24,4,8,1,24,1,12,1,13,1,24,1,13,1,9,1,10,1,13,1,12,1,8,1,12,1,8,1,24,2,13,1,24,1,12,1,13,1,10,1,8,1,7,1,8,1,24,3,8,2,10,1,17,1,13,1,10,2,8,1,10,1,24,1,13,1,24,2,10,1,12,1,10,1,24,1,12,5,17,1,10,1,12,3,9,1,10,1,9,1,24,1,9,1,10,2,12,1,24,1,10,1,12,1,24,1,12,1,9,1,10,2,17,1,13,1,9,1,17,1,12,2,24,1,12,3,17,2,12,1,17,7,12,1,17,4,12,1,17,1,12,1,17,1,12,1,17,2,10,1,17,3,12,1,17,6,11,3,28,7,30,1,28,30,13,4,7,1,6,1,13,1,8,1,6,1,7,1,8,1,13,3,8,1,7,1,9,2,10,3,12,2,10,1,11,1,8,2,9,2,8,1,24,1,8,1,10,1,17,5,9,1,13,2,9,1,13,1,7,1,13,1,30,1,13,2,8,1,16,1,7,1,6,1,13,2,9,2,13,1,8,1,9,2,13,1,9,1,6,2,8,1,13,1,6,1,9,1,30,1,6,1,17,1,13,1,10,2,13,3,28,1,30,1,28,32,9,1,7,2,9,2,13,1,30,1,13,1,8,1,13,1,6,1,13,3,9,1,8,1,13,2,8,1,6,1,13,2,9,1,13,1,8,2,13,2,9,3,13,5,6,1,13,2,6,1,13,1,6,2,13,1,8,1,6,1,13,1,6,1,13,1,28,1,6,3,13,1,6,1,13,2,7,1,13,1,28,1,6,1,30,2,28,1,13,1,30,2,6,1,13,1,6,4,13,4,7,2,6,1,28,1,30,1,28,60,30,1,28,8,30,1,28,1,13,1,16,1,14,2,17,1,9,2,13,2,30,1,6,1,28,1,6,1,30,2,28,1,30,1,29,1,6,2,8,1,9,1,13,1,9,3,12,1,11,1,9,1,13,1,28,7,6,1,8,1,24,1,13,1,6,1,28,35,30,1,9,1,13,1,30,1,28,3,8,1,13,1,24,1,6,1,29,1,28,5,13,1,8,3,24,1,28,6,29,1,24,2,28,6,30,1,13,1,24,2,8,1,12,1,14,1,9,1,6,2,30,1,6,1,10,1,9,2,8,1,28,2,29,1,13,1,10,1,8,1,28,36,30,1,28,13,6,1,24,1,10,1,}, {28,1,6,1,30,1,28,12,30,1,28,3,6,1,13,1,6,1,29,1,30,1,13,1,30,1,8,1,6,2,30,2,28,1,7,1,30,1,8,1,7,1,30,1,6,1,7,1,6,1,13,1,9,2,10,1,11,1,13,2,30,1,28,5,6,1,29,1,9,1,12,1,9,1,30,1,28,5,24,1,9,1,24,1,9,1,7,1,29,1,28,9,30,1,9,1,24,1,6,1,29,1,28,37,29,1,28,2,29,1,28,1,30,1,28,1,7,1,8,1,30,1,24,1,8,1,9,1,8,1,6,1,30,1,7,1,30,1,28,1,11,1,15,1,24,1,28,1,6,1,28,1,6,1,7,1,13,1,29,1,6,1,29,1,28,4,30,1,28,1,30,1,29,1,13,1,7,1,8,1,24,1,7,1,29,1,30,1,28,3,7,1,17,1,10,1,24,3,8,1,29,1,13,2,8,1,6,1,13,3,10,1,14,1,8,1,30,1,28,1,29,1,30,1,13,1,6,1,28,35,6,1,28,1,30,1,28,1,9,1,14,1,24,1,7,1,28,3,30,1,24,2,9,1,10,1,17,1,9,1,8,1,7,1,8,1,13,1,6,3,28,1,29,1,28,1,30,2,28,2,30,1,29,1,13,1,28,1,13,1,10,1,9,1,12,1,17,3,16,1,30,1,28,14,6,1,29,1,6,3,28,1,30,1,29,1,13,1,6,1,29,1,30,1,28,1,6,1,30,2,29,1,6,2,7,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,13,1,9,1,10,1,11,1,9,2,16,1,9,1,17,1,9,1,16,1,17,1,9,1,8,2,16,1,13,1,16,1,9,1,17,1,16,2,9,1,16,1,11,2,10,1,9,1,11,2,16,1,9,1,11,2,16,1,17,1,9,1,16,1,11,9,17,1,16,1,11,1,10,1,9,1,11,1,13,1,9,2,11,3,16,1,13,1,16,1,11,2,10,1,11,1,9,1,17,1,11,1,9,5,13,1,9,1,17,1,9,1,8,1,11,1,9,1,11,1,16,1,10,1,16,1,9,1,11,2,16,4,9,1,11,1,16,3,17,2,16,1,9,1,17,1,9,1,17,1,16,1,11,1,16,1,17,1,8,1,17,1,9,1,16,1,11,1,16,1,13,2,8,1,6,2,8,1,9,3,8,1,9,1,11,1,8,1,9,3,11,1,10,1,9,1,13,1,30,1,28,2,7,1,13,1,6,1,13,1,6,1,7,1,6,1,13,2,6,1,13,1,6,1,13,3,8,3,13,2,9,2,13,1,8,1,12,1,13,1,9,2,13,1,9,1,12,1,10,1,16,1,11,1,9,2,10,1,9,1,10,1,11,2,9,2,11,1,16,1,11,1,16,1,11,2,16,1,9,1,11,2,10,1,9,1,11,1,8,1,10,1,11,2,9,2,10,1,13,2,9,2,8,3,9,1,8,2,9,1,8,2,9,5,8,2,9,7,10,1,9,1,10,1,9,7,11,2,9,1,11,1,9,1,11,1,9,3,11,3,9,1,16,1,9,2,11,4,9,3,11,1,9,1,8,1,13,2,8,1,9,1,8,1,13,1,8,1,6,1,13,1,8,1,6,1,29,2,28,25,30,1,7,1,17,7,16,1,17,1,16,1,12,1,16,1,11,1,9,1,11,1,17,1,11,2,12,2,11,1,9,2,8,2,13,2,6,1,7,1,28,1,13,1,6,1,30,1,6,1,30,4,28,2,30,1,28,1,30,1,28,2,30,1,28,7,6,1,29,1,6,1,13,1,7,1,29,1,6,1,7,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,29,1,28,3,30,1,28,1,30,1,28,18,29,1,6,1,29,2,8,1,29,1,24,1,13,2,10,1,24,1,9,1,12,1,17,1,9,1,17,2,12,1,16,2,17,1,16,2,17,1,16,2,17,2,16,1,17,1,16,1,17,1,11,1,10,1,9,1,11,1,16,1,9,1,11,4,10,1,17,1,16,1,11,1,17,1,11,2,10,1,16,1,11,1,9,1,16,3,17,13,16,2,17,2,16,1,11,1,13,2,7,1,13,1,30,1,29,1,28,36,30,1,28,43,30,3,6,1,29,3,13,1,6,1,8,1,7,3,9,1,8,3,13,1,8,1,6,1,8,1,9,1,8,1,9,3,8,1,9,1,13,1,8,2,9,1,8,1,16,1,9,6,8,1,9,1,13,1,7,1,13,6,9,1,13,1,9,1,8,1,16,1,17,11,24,2,12,1,17,28,16,3,17,1,16,12,11,1,16,1,11,1,16,7,11,1,16,1,11,1,16,5,11,6,9,4,11,1,9,2,10,1,9,4,11,1,9,1,11,1,9,1,11,1,9,2,16,2,11,2,16,4,11,1,16,1,11,2,9,1,16,1,9,1,11,1,16,3,17,1,16,7,17,2,13,4,6,2,13,1,9,1,13,1,9,1,13,1,9,1,8,1,11,1,13,1,30,1,7,1,6,1,30,8,6,1,30,1,28,1,13,2,30,1,29,1,30,2,6,1,28,1,6,3,29,1,30,1,28,1,30,1,6,1,30,3,6,1,30,1,6,4,13,1,30,2,28,1,30,1,6,1,28,1,6,1,30,1,29,1,30,7,6,1,30,1,7,1,6,1,30,1,28,1,6,2,28,1,29,2,30,1,28,1,30,2,6,1,30,1,6,2,30,2,6,1,29,1,28,1,6,1,30,1,6,1,30,2,6,6,13,1,30,2,29,1,6,2,30,1,6,1,30,1,28,1,30,1,6,2,30,2,13,1,6,2,30,1,13,2,29,1,30,1,6,4,30,1,6,4,7,1,13,1,6,1,28,1,30,3,6,1,30,1,6,1,30,1,6,2,28,1,7,1,6,2,13,1,30,2,6,1,30,1,7,1,6,2,13,1,30,2,6,1,29,1,6,3,30,1,6,2,7,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,6,28,1,30,4,6,1,30,1,29,1,30,3,28,1,29,1,7,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,28,1,6,1,30,1,28,1,6,2,30,1,6,10,30,2,6,2,7,1,6,2,30,1,6,2,30,2,6,2,30,2,6,1,30,1,29,1,6,1,30,6,6,3,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,6,30,2,6,1,30,2,29,1,6,4,29,1,6,7,7,1,6,4,7,1,13,1,6,2,30,1,6,2,30,1,6,2,30,1,6,1,28,1,29,1,30,1,29,2,6,2,29,1,30,1,6,1,30,1,6,4,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,7,1,6,1,13,3,6,2,30,3,6,2,13,1,29,1,30,1,29,1,30,3,28,2,30,5,28,1,30,2,28,3,30,1,28,5,30,1,28,4,7,1,30,2,28,1,29,1,7,1,24,1,7,1,6,1,28,1,30,1,28,2,30,1,28,18,30,1,28,2,29,1,6,2,7,1,9,1,10,1,13,1,28,11,30,2,28,2,29,1,13,1,9,3,13,1,8,2,17,1,10,1,9,2,8,3,9,3,11,1,12,1,11,1,12,1,17,1,16,1,17,5,16,1,17,2,16,2,17,2,9,1,12,1,8,1,17,1,10,1,11,2,12,1,11,2,9,1,11,1,9,1,11,1,10,2,11,1,9,1,10,1,12,1,9,2,12,1,9,2,12,1,11,1,9,1,11,1,17,2,10,1,11,1,9,2,11,1,12,1,8,2,24,1,10,1,8,1,9,1,13,1,8,1,9,2,13,1,24,1,9,1,10,1,9,2,10,1,8,1,9,2,8,1,10,1,9,1,24,1,9,2,8,1,10,1,8,2,9,2,8,2,10,1,11,1,7,2,10,1,13,2,8,1,12,1,9,1,24,1,10,1,8,1,13,2,8,1,25,2,27,1,6,1,29,1,30,1,6,1,28,1,30,1,25,1,27,1,30,1,28,1,29,1,28,1,29,1,27,1,30,2,28,1,30,1,28,1,30,1,29,1,25,1,27,2,26,1,8,1,29,1,24,1,7,1,8,1,13,2,6,1,8,1,13,1,7,1,24,1,7,1,25,1,24,1,7,1,8,1,24,3,29,1,8,1,24,1,25,1,10,1,24,3,7,1,8,1,10,1,8,3,24,1,17,1,12,1,10,1,12,6,17,2,12,4,24,1,17,1,9,2,17,1,12,1,10,1,12,2,24,2,17,1,12,1,10,1,12,1,17,1,12,2,17,1,10,1,17,1,10,1,17,2,10,1,17,1,12,1,24,1,17,3,10,1,8,1,10,1,24,1,10,1,24,1,12,1,24,1,12,1,24,1,10,2,24,1,17,1,12,1,10,1,12,3,9,1,10,1,8,2,6,1,28,4,30,1,28,26,8,1,12,1,24,1,9,2,24,1,10,1,24,1,8,1,10,1,13,1,17,1,24,2,9,1,12,1,13,1,17,1,7,1,24,1,8,1,9,1,10,2,12,1,13,1,8,2,24,1,8,2,6,1,7,1,8,2,24,1,8,2,10,1,24,2,8,1,12,1,8,3,24,1,9,2,24,1,8,1,24,1,8,1,12,1,24,2,12,1,8,1,24,1,9,1,24,1,12,2,10,1,17,3,24,1,12,2,10,2,17,1,24,1,17,2,12,1,24,1,12,1,8,1,12,2,24,1,10,3,12,2,17,1,10,1,12,3,10,1,12,3,17,1,12,1,17,5,12,1,17,4,12,3,17,6,12,1,17,1,12,3,17,4,11,1,17,1,13,1,28,35,30,1,6,2,13,5,6,1,7,1,13,5,8,3,9,1,10,1,9,1,24,1,11,1,12,3,11,1,13,2,24,1,10,1,11,1,8,1,10,1,8,1,9,1,17,4,11,1,13,3,6,1,13,3,6,1,13,3,8,1,13,1,9,1,6,1,13,1,9,1,13,1,8,1,9,2,11,1,9,3,13,2,9,2,13,1,8,1,13,7,6,2,28,1,6,1,28,31,13,4,8,1,6,1,28,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,13,1,7,1,13,4,7,1,8,1,9,1,13,4,9,1,13,2,9,1,13,1,9,1,13,4,6,1,13,1,6,1,13,1,30,1,13,2,7,2,6,1,7,1,6,1,13,1,29,2,6,1,13,1,29,1,13,1,6,2,13,2,6,2,29,1,6,2,9,1,6,2,13,1,6,1,13,2,6,1,13,1,30,1,13,7,29,1,13,2,28,1,30,2,28,53,30,1,28,10,8,1,17,3,12,2,13,1,7,1,6,1,13,1,7,1,6,3,13,1,28,1,13,1,6,1,8,1,6,1,7,1,13,1,9,1,6,1,13,1,9,3,12,1,29,1,28,7,29,1,12,1,13,1,7,1,29,1,28,35,30,1,10,1,8,1,29,1,28,3,24,2,13,2,28,5,6,2,8,1,24,1,8,1,13,1,7,1,28,5,6,1,9,1,13,1,28,5,30,2,13,1,24,1,9,1,24,2,12,1,13,1,7,1,30,2,29,1,24,1,12,1,7,1,8,1,28,3,6,1,8,2,28,50,6,1,15,1,13,1,}, {28,1,30,1,28,16,29,1,30,1,6,1,30,2,6,3,8,1,30,1,28,1,29,1,28,1,6,2,13,1,7,1,6,1,8,1,6,1,13,2,6,1,9,1,8,1,9,1,11,1,9,1,6,1,13,1,28,1,7,1,29,1,30,1,28,1,6,1,13,1,9,1,12,1,24,1,6,1,30,1,28,1,30,1,28,1,30,1,7,1,12,1,10,1,13,2,29,2,28,8,29,1,7,1,24,1,6,1,28,8,30,1,28,30,30,3,6,1,28,1,6,1,29,1,13,1,29,1,6,1,13,2,24,1,29,1,6,1,8,1,7,1,13,1,10,2,13,1,6,1,30,1,29,1,6,1,7,1,30,1,8,1,6,1,28,2,30,2,28,4,6,2,28,1,9,1,24,1,6,2,28,4,7,1,10,1,12,2,10,1,8,1,7,1,6,1,7,1,30,1,8,1,29,1,7,1,13,2,9,1,8,1,6,1,29,2,7,1,30,1,6,2,28,34,30,2,28,1,30,2,24,1,10,1,24,1,7,1,28,2,29,1,30,1,24,1,12,1,24,1,9,1,10,1,24,1,8,1,13,1,6,1,29,1,30,1,6,1,13,1,30,1,29,1,6,1,28,1,29,1,28,1,29,1,6,1,28,1,30,1,6,1,13,1,24,2,17,1,12,1,17,2,14,1,6,1,28,16,29,1,30,1,28,1,30,1,6,1,30,1,6,1,28,2,30,1,29,1,30,2,28,1,30,2,28,1,13,1,7,1,10,1,9,2,13,2,9,1,8,1,13,1,8,1,11,1,10,1,16,1,9,1,16,1,17,1,9,1,17,1,9,1,10,1,11,1,9,1,16,1,9,1,11,5,16,1,11,1,9,1,17,1,16,1,9,2,11,1,9,1,11,1,17,2,11,2,16,1,9,1,16,1,9,1,16,2,10,1,11,1,9,1,11,1,16,1,9,1,11,1,9,1,11,2,9,3,16,2,10,1,11,1,9,1,11,1,16,1,11,1,17,1,9,2,11,1,9,1,8,1,9,1,8,1,9,4,16,1,11,1,13,1,16,1,9,1,11,1,17,1,10,1,9,1,17,1,11,1,16,1,10,1,16,1,11,1,17,1,11,1,17,1,16,1,17,4,11,1,17,1,11,1,17,3,11,1,17,1,16,1,17,1,9,1,17,1,16,3,9,1,13,4,9,1,13,2,9,3,8,1,11,1,8,1,9,2,16,1,12,1,11,1,9,1,8,1,28,2,30,1,28,1,6,1,13,3,7,1,6,2,13,2,6,1,13,1,6,1,29,1,7,2,13,1,8,1,9,2,13,2,9,1,8,1,10,1,8,1,10,2,9,1,11,2,8,1,17,1,9,7,16,3,11,4,16,3,8,1,10,1,11,1,9,1,11,1,9,2,8,1,9,2,8,1,9,6,8,4,9,3,10,1,8,1,9,1,13,1,8,1,9,1,13,2,9,3,13,1,11,1,9,3,11,1,9,2,10,1,9,3,11,1,10,1,9,1,11,1,9,1,11,1,10,1,9,2,11,4,9,2,11,1,9,1,11,2,9,1,11,1,9,2,11,1,9,3,11,1,9,2,17,1,24,1,13,1,9,1,13,1,7,1,29,1,13,2,29,3,6,1,28,1,30,1,28,23,13,1,17,9,16,1,17,2,9,1,17,6,9,1,12,1,11,1,24,1,9,1,8,1,13,3,8,1,6,1,28,1,29,1,30,1,29,1,30,1,29,1,28,1,6,1,28,1,30,1,6,1,28,2,30,1,28,6,30,3,28,1,7,1,29,1,13,1,29,1,7,1,6,1,7,1,29,2,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,29,1,28,17,30,1,6,1,30,1,6,1,30,1,7,1,6,1,9,1,8,2,13,1,9,3,12,1,9,1,17,1,12,2,17,1,12,1,17,6,16,1,17,2,11,1,17,1,11,1,16,1,10,1,17,1,11,1,9,1,11,2,9,7,10,1,11,1,16,1,13,1,9,1,17,1,11,3,12,1,9,1,10,1,12,1,17,10,16,1,17,3,16,2,11,1,8,2,13,1,8,1,6,1,30,2,28,34,29,1,28,30,30,1,28,13,6,1,30,2,6,2,28,1,6,1,29,1,6,2,7,1,8,1,6,1,8,2,9,1,8,4,13,1,9,3,11,1,13,1,9,1,8,1,10,1,9,2,16,1,9,1,10,1,13,1,9,3,11,1,9,1,13,1,9,1,13,3,8,1,13,1,7,2,13,2,8,1,6,1,9,1,17,6,12,1,17,2,9,1,8,2,24,1,12,1,17,10,14,1,17,1,12,1,17,16,16,2,17,1,16,3,11,1,16,4,11,1,16,1,11,2,16,10,11,1,16,1,11,1,16,4,11,5,9,3,13,1,9,6,8,1,9,5,11,3,16,1,11,1,16,2,11,3,16,1,11,1,16,4,11,1,16,1,11,1,16,2,11,1,16,10,17,2,13,5,6,1,9,2,13,1,8,1,11,1,9,3,6,5,30,2,29,1,6,1,30,2,6,1,30,2,7,1,9,1,6,4,30,1,6,1,30,1,29,1,30,3,6,1,30,1,6,1,28,1,6,2,28,1,6,2,30,1,13,1,30,1,13,2,29,1,6,1,30,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,3,29,1,30,2,6,3,30,3,28,1,30,2,6,1,30,1,28,1,6,2,30,10,6,2,30,3,6,1,29,1,6,1,28,1,30,1,6,2,30,1,29,1,30,2,6,1,30,2,29,1,30,2,6,2,30,2,6,3,13,1,28,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,6,2,30,1,6,1,30,1,6,1,13,1,6,3,30,1,6,3,13,1,6,3,28,1,13,2,6,3,30,1,6,3,13,1,6,3,30,1,6,1,30,2,6,1,29,1,6,1,30,1,6,1,13,1,30,1,6,2,30,1,28,2,30,1,6,1,30,3,29,1,6,1,30,2,6,1,30,1,28,1,30,4,6,1,30,1,28,1,29,1,30,1,6,1,30,2,6,1,30,3,6,2,28,1,30,2,28,1,6,1,30,3,6,4,30,2,6,2,13,1,6,3,30,1,6,3,30,1,6,6,29,1,30,2,6,1,28,2,30,1,28,1,29,1,30,4,6,1,30,1,6,5,29,1,6,2,30,3,6,1,30,1,13,1,6,5,7,1,6,3,7,1,6,5,13,1,6,1,13,1,29,1,6,1,29,1,6,1,13,1,30,1,6,1,29,1,7,1,6,1,29,1,6,2,29,1,6,1,13,1,6,1,7,1,6,1,29,1,6,1,30,2,6,1,13,1,28,1,30,2,28,1,30,6,6,2,13,1,30,2,6,1,28,1,30,3,29,1,6,2,7,2,9,1,11,1,8,1,29,1,6,1,28,1,30,1,28,1,30,1,6,1,28,1,6,1,30,2,6,2,30,1,28,5,30,1,28,4,30,4,28,1,30,1,28,4,30,2,28,4,30,2,29,1,13,2,9,1,30,1,13,1,6,1,28,1,7,1,30,1,6,2,28,16,29,1,6,1,28,1,29,1,24,1,8,1,12,1,8,1,7,1,13,1,16,1,13,1,28,7,30,1,28,1,29,1,13,1,7,1,6,1,28,1,8,1,9,3,10,1,9,1,24,1,9,1,11,3,10,2,9,1,8,2,9,1,8,1,10,1,17,1,16,1,10,1,17,1,16,1,17,1,16,1,17,1,16,1,17,8,11,1,12,1,11,3,10,2,11,2,10,1,12,1,10,1,9,1,11,2,9,2,11,1,9,1,12,1,9,1,10,1,9,2,11,1,10,1,9,2,11,1,9,1,12,1,9,1,10,1,12,1,9,1,10,1,8,1,9,1,11,1,9,1,8,1,9,4,24,2,9,1,11,1,9,1,8,1,10,1,8,1,10,1,9,2,8,1,24,2,9,4,13,1,8,1,12,1,9,2,13,1,12,1,8,1,24,1,8,1,24,1,8,1,9,1,10,1,9,1,8,2,17,1,12,1,24,1,8,2,10,1,24,1,13,1,25,1,30,1,26,1,6,1,29,1,30,2,28,3,25,1,27,1,26,1,30,1,28,1,30,1,28,1,29,1,27,1,28,1,27,1,25,1,27,1,29,1,8,2,25,2,7,1,24,1,6,2,25,1,13,1,7,1,6,1,24,1,6,1,8,2,24,1,25,3,6,1,10,1,8,1,24,1,8,2,27,1,24,1,25,1,24,2,10,1,8,1,24,2,8,1,24,1,12,1,17,1,10,1,12,1,8,1,17,2,12,1,17,1,24,1,17,1,9,1,12,2,17,2,10,1,24,1,10,1,24,1,12,2,17,1,10,3,8,1,12,1,24,1,13,1,12,1,17,1,10,1,12,2,17,4,12,2,17,3,10,1,17,2,12,1,24,1,10,2,12,1,8,1,12,1,24,2,12,1,24,1,10,3,12,1,24,1,12,2,10,1,24,1,10,1,24,2,7,1,28,30,7,1,12,1,11,2,9,1,12,1,8,1,9,1,10,2,24,1,10,2,24,1,8,3,12,1,24,1,8,1,24,1,10,3,8,2,9,1,8,1,17,1,8,1,24,3,8,1,12,1,24,1,8,1,24,1,8,1,12,1,8,1,9,1,13,1,24,1,10,1,8,2,24,1,9,1,13,1,8,1,24,4,10,1,12,2,8,1,17,1,10,1,17,2,9,1,12,2,9,1,17,1,10,1,9,1,10,1,9,1,12,1,10,2,12,1,9,1,7,1,10,2,12,1,10,1,24,2,10,2,12,1,24,1,12,2,10,2,12,3,17,1,12,1,9,1,17,1,9,1,17,1,10,1,12,4,17,1,12,1,17,7,12,1,17,1,12,1,11,1,17,2,12,1,17,6,11,1,9,1,28,35,6,1,13,2,8,1,13,1,8,1,6,1,13,2,30,1,13,3,8,2,13,3,10,1,12,1,11,1,12,1,11,2,12,2,10,1,24,1,12,2,8,1,11,1,10,1,8,1,12,1,8,1,10,1,17,4,9,2,6,1,13,1,9,1,13,2,9,1,30,1,6,1,8,1,13,1,7,1,13,3,7,1,13,1,8,1,9,1,13,2,10,1,9,2,6,1,13,2,9,1,8,2,6,1,13,1,8,1,9,2,13,3,6,1,30,1,28,33,9,1,8,1,13,1,7,1,6,1,7,1,28,1,30,1,6,1,13,1,6,3,13,3,7,1,13,2,7,1,13,1,9,1,13,7,7,1,6,2,13,1,7,1,30,2,13,4,8,1,13,3,9,2,6,1,13,3,6,3,29,1,8,1,30,1,6,1,13,1,30,1,6,1,30,3,29,1,30,1,28,1,30,1,6,2,7,1,13,1,30,1,6,1,13,2,9,1,13,2,6,2,13,2,8,1,6,2,13,1,6,1,13,6,6,1,13,1,6,1,13,2,6,1,13,1,6,1,8,1,9,1,6,2,13,1,28,44,30,1,28,2,8,1,14,1,17,2,9,1,12,1,13,1,8,1,13,3,7,1,6,2,13,1,7,1,13,1,8,1,13,1,7,1,8,1,9,1,13,1,8,1,24,1,13,1,9,2,13,1,30,1,28,8,17,1,13,1,6,1,30,1,28,35,13,1,7,1,13,1,29,1,28,2,6,1,8,1,7,1,8,1,6,1,30,1,28,4,29,1,6,1,8,1,10,1,8,2,28,6,30,1,11,1,24,1,28,6,29,1,8,2,15,1,24,2,8,1,13,1,6,1,28,1,30,2,10,2,24,1,9,1,28,2,30,1,6,1,24,1,8,1,30,1,28,49,8,1,17,1,8,1,}, {30,2,28,7,30,1,28,10,30,1,29,1,28,1,29,1,6,3,30,1,6,3,30,3,6,1,30,1,13,2,6,1,13,1,6,1,13,1,11,1,8,1,9,2,6,2,29,1,6,1,28,3,30,1,13,1,9,2,24,1,29,1,28,5,13,1,9,1,12,1,10,1,6,1,30,1,28,10,6,1,8,1,13,1,28,7,30,1,28,31,30,1,28,1,30,1,28,1,29,1,6,2,28,1,6,2,13,1,24,1,8,1,13,1,29,1,6,1,7,1,13,2,10,1,8,1,30,2,29,1,6,1,13,1,6,1,7,1,6,1,7,1,28,1,6,1,28,2,30,1,28,1,30,1,28,1,6,1,8,3,6,2,28,4,8,1,10,1,24,1,10,1,9,1,8,1,13,1,29,1,6,1,13,1,6,1,8,2,7,1,13,1,9,1,14,1,9,1,6,3,28,1,30,1,29,1,28,34,30,1,28,1,30,1,28,2,8,1,10,1,8,1,28,5,13,1,12,1,17,1,9,1,24,1,8,1,24,2,6,1,7,2,6,3,28,1,6,1,28,3,29,1,30,1,6,1,29,1,8,1,6,1,7,1,13,1,10,1,12,1,17,2,14,1,29,1,28,14,13,1,6,1,29,1,6,2,29,1,6,1,30,1,28,2,6,1,30,3,28,1,30,1,28,1,29,1,30,1,13,3,8,1,11,1,9,2,8,2,9,1,11,1,9,1,11,1,16,1,11,1,9,1,16,1,11,1,9,2,11,1,10,1,11,3,8,1,11,1,17,1,16,1,9,2,16,1,9,2,11,2,16,1,9,1,13,1,9,1,17,1,16,1,11,1,16,3,11,1,16,1,11,2,9,1,16,1,11,3,17,1,9,3,16,1,9,1,16,1,9,2,10,1,11,2,16,1,11,1,16,1,8,1,16,1,11,1,16,2,13,1,11,1,9,1,16,1,13,1,9,2,8,1,11,1,10,1,11,3,9,1,10,1,9,2,17,1,11,1,16,1,11,1,16,2,17,1,16,1,17,1,11,2,16,4,17,1,11,1,16,5,11,2,16,3,11,1,10,1,11,1,8,1,13,2,9,1,7,1,8,2,9,1,8,1,9,1,13,1,8,1,9,1,10,1,9,1,16,1,9,3,13,1,28,1,13,1,6,1,13,1,8,1,6,1,30,1,7,1,29,1,24,1,13,1,6,2,8,1,29,1,30,1,13,4,24,1,8,2,10,1,13,1,9,1,8,1,17,1,8,1,11,1,8,1,9,1,8,1,10,1,9,1,11,2,9,2,17,1,11,3,16,2,11,1,16,1,10,1,11,1,16,2,9,1,11,1,16,1,10,1,11,1,9,3,11,1,8,1,9,1,11,1,9,3,8,3,9,2,13,1,10,1,8,1,9,4,8,1,13,1,9,3,13,1,9,2,8,1,9,3,11,1,9,5,10,2,9,1,11,1,9,1,11,1,8,1,9,1,13,1,11,1,9,3,16,1,11,1,16,1,11,1,9,1,11,2,9,1,11,1,10,2,9,1,11,1,16,1,9,2,11,2,13,3,9,1,17,1,8,3,13,1,8,1,6,1,13,1,7,1,6,1,29,1,30,1,28,25,13,1,17,7,16,1,17,1,16,4,17,2,16,1,17,1,16,1,11,1,10,1,16,1,12,1,9,1,11,1,8,1,11,1,7,1,13,1,29,1,13,1,30,1,6,1,28,1,13,1,6,1,28,1,6,1,7,1,6,1,28,2,30,1,28,1,30,1,28,2,29,2,30,1,28,3,30,1,7,2,28,1,7,1,29,1,7,1,28,1,13,1,30,1,29,1,6,2,28,1,6,1,28,2,6,1,28,3,30,1,28,17,30,1,28,2,29,1,6,1,13,3,6,1,13,2,8,3,24,1,10,1,8,1,12,1,10,1,11,1,17,3,11,1,17,4,11,2,17,1,10,1,16,1,17,1,16,1,11,1,16,1,9,1,11,1,10,1,11,1,9,2,12,1,9,4,11,1,9,1,11,1,17,1,10,1,11,2,9,1,17,1,9,1,10,1,17,1,8,1,10,1,17,2,9,1,17,11,16,2,11,2,9,1,8,1,13,2,28,1,30,1,28,1,30,1,28,30,30,1,28,20,30,1,28,9,30,1,6,1,30,1,28,1,30,1,28,12,6,1,28,1,30,2,29,1,6,1,13,1,29,1,6,2,13,1,7,1,8,1,9,1,8,1,24,1,13,1,8,1,9,1,13,2,8,2,9,1,13,1,9,8,13,1,9,2,11,1,9,1,8,1,9,1,8,1,13,2,7,1,8,1,13,2,8,1,13,3,24,1,17,6,12,1,13,1,7,1,13,1,24,3,17,6,16,2,17,5,11,1,12,2,17,17,16,4,11,5,16,22,9,2,11,1,9,5,11,1,9,3,11,1,9,5,11,1,9,3,11,2,16,3,11,1,9,1,16,4,9,1,16,2,9,1,16,1,9,1,11,1,16,2,11,1,16,8,17,2,9,1,28,1,13,3,30,1,9,1,10,1,9,2,8,1,9,3,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,2,13,2,7,1,13,2,8,1,6,2,30,3,28,1,6,2,30,1,6,1,29,1,30,2,6,2,30,1,6,3,13,1,29,1,13,1,6,1,7,1,9,1,13,1,28,1,30,4,28,2,30,6,6,3,30,2,29,2,6,2,30,1,29,1,30,2,28,1,29,1,28,1,30,4,28,1,30,4,6,1,30,3,6,2,30,1,6,1,30,2,6,2,30,1,6,1,29,1,6,4,30,1,6,2,30,1,6,4,29,1,13,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,30,2,6,1,7,1,30,1,6,2,13,2,30,1,29,1,6,1,30,2,13,1,30,1,6,4,28,1,6,2,13,1,6,1,30,4,6,2,30,1,28,1,7,1,13,2,30,1,6,1,30,2,29,1,30,1,6,1,30,4,6,1,30,2,29,1,28,1,30,2,6,1,30,3,6,1,29,1,6,1,30,3,6,1,29,1,30,1,6,1,30,2,6,1,30,6,6,1,28,1,30,2,6,4,29,2,28,1,6,2,28,1,7,1,30,1,6,5,29,1,6,2,30,2,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,5,28,1,6,1,30,1,6,1,30,1,6,1,30,5,6,3,30,1,29,1,30,1,28,1,6,3,13,1,7,1,6,2,7,1,6,2,28,1,6,1,29,1,13,1,29,1,13,1,6,3,29,2,6,1,30,1,6,2,7,1,6,3,30,1,6,1,13,3,7,1,6,1,29,1,13,1,7,1,13,1,7,1,29,2,6,1,13,1,30,1,6,1,30,1,6,2,30,1,28,1,6,1,30,2,6,1,30,3,6,3,30,1,6,1,9,1,6,2,30,2,28,1,6,1,13,1,6,1,30,1,13,3,9,1,13,4,30,1,28,1,30,6,28,2,30,1,6,2,28,1,6,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,13,1,28,5,13,1,6,2,29,1,10,1,9,1,8,1,13,1,6,1,7,2,28,2,30,1,28,14,30,1,8,1,13,1,6,1,8,1,9,2,13,1,12,1,8,1,13,2,8,1,13,1,28,6,6,3,13,1,6,2,30,1,13,1,10,1,9,2,24,1,8,1,12,3,10,1,11,1,10,2,9,1,10,1,13,1,9,2,11,1,16,1,17,1,9,1,10,1,16,1,17,1,16,3,17,5,12,2,17,1,11,1,9,1,11,1,10,1,11,1,12,1,9,1,17,1,10,1,11,1,12,2,9,1,11,1,9,1,10,1,9,3,10,3,9,1,11,1,12,1,10,1,9,1,8,1,17,1,11,1,12,1,9,3,10,1,9,2,8,1,9,2,10,1,9,1,10,1,9,3,24,1,8,1,11,1,24,1,8,2,10,1,24,1,8,1,24,1,8,1,24,1,9,5,8,1,24,2,12,1,8,1,24,1,9,1,8,2,9,1,8,2,24,1,10,2,24,1,10,1,12,3,13,1,24,3,7,1,24,1,6,3,25,1,29,1,6,1,27,1,6,1,29,1,8,1,29,1,27,3,8,1,30,1,27,1,30,1,27,1,25,1,29,1,8,1,26,2,25,1,24,1,7,1,8,1,25,2,6,1,24,1,7,1,8,1,13,1,8,1,6,1,25,2,24,1,6,1,8,2,27,1,24,3,12,1,8,1,25,1,24,2,10,1,8,1,25,1,24,1,8,1,13,1,12,1,24,1,12,1,24,1,12,3,17,1,9,1,12,3,17,1,12,1,17,1,9,1,17,1,12,1,8,1,12,1,24,1,17,1,24,1,10,1,24,2,8,1,12,1,24,2,17,1,7,1,17,2,10,1,12,1,17,1,10,1,17,1,10,1,12,1,10,1,12,2,17,7,12,2,24,7,12,1,8,1,12,1,24,1,10,4,12,1,10,1,8,1,24,1,13,1,28,4,30,1,29,1,28,24,6,1,8,1,12,1,24,1,9,1,10,1,24,2,13,1,24,2,10,1,24,1,8,1,24,2,9,1,8,1,9,1,12,2,8,1,9,1,8,1,9,1,8,1,13,1,9,1,12,1,8,1,24,3,10,1,8,1,24,2,13,1,8,1,13,1,24,2,8,1,10,1,24,1,13,1,24,2,10,1,8,1,24,1,8,1,24,2,8,1,24,2,10,1,12,4,24,1,12,1,17,1,12,1,17,2,24,2,12,3,17,1,24,1,12,1,10,1,12,1,10,1,24,1,17,2,13,1,10,1,24,1,8,1,10,1,17,1,12,2,10,1,24,1,12,1,17,1,12,1,9,1,12,3,17,1,12,2,17,1,12,1,17,2,12,1,17,4,12,2,17,6,12,2,17,3,11,1,17,1,12,2,17,1,13,1,28,34,6,1,13,1,7,1,8,1,7,1,13,1,8,1,13,2,29,1,8,1,13,1,8,1,13,3,8,1,13,2,9,1,24,1,9,1,10,1,11,5,17,1,11,2,10,1,9,1,10,1,8,1,10,1,9,1,11,1,17,5,8,1,13,4,7,1,13,4,7,1,13,1,6,2,13,2,6,1,8,1,9,1,8,1,13,1,9,1,13,1,9,1,8,1,9,2,13,1,9,1,13,2,8,1,9,1,11,1,8,1,13,3,6,1,28,2,30,1,28,31,9,1,13,1,8,1,13,2,8,1,6,1,13,1,6,2,7,1,6,1,7,1,13,1,6,1,8,1,6,1,13,3,6,1,13,2,30,1,13,1,6,1,13,1,6,1,30,1,7,1,6,1,7,1,13,1,6,2,29,1,30,1,6,1,13,1,28,1,13,1,6,1,9,1,7,1,13,1,8,1,13,3,7,1,9,1,13,4,7,1,13,1,7,1,6,2,13,1,6,3,13,1,7,1,6,1,29,1,6,2,13,1,6,1,13,2,7,1,6,1,30,1,6,1,13,1,29,1,6,1,13,1,6,2,13,1,30,1,13,1,6,1,13,3,6,2,28,1,7,1,6,1,13,3,8,1,6,1,28,1,6,1,13,1,30,1,28,2,6,1,13,3,8,1,7,1,30,1,28,2,30,1,28,2,30,1,28,2,30,1,28,23,30,1,28,6,13,1,14,1,17,1,12,1,15,1,9,2,13,4,29,2,13,1,6,1,29,1,7,2,8,1,13,1,8,5,9,2,8,1,17,1,6,1,28,7,30,1,12,1,13,2,6,1,28,35,6,1,8,1,13,1,29,1,30,1,28,1,13,1,24,1,8,1,13,1,29,1,6,1,28,3,29,1,6,1,8,3,13,1,12,1,30,1,28,5,6,1,9,1,13,1,28,5,29,1,6,1,24,1,9,1,24,1,12,1,24,2,9,1,6,1,28,1,30,1,6,1,12,3,29,1,28,2,30,1,13,1,24,1,6,1,30,1,28,49,8,1,10,1,12,1,}, {28,3,30,1,28,5,30,1,28,5,6,1,28,3,30,1,28,3,30,1,6,1,30,1,13,2,7,1,30,1,28,3,30,1,13,2,30,1,6,1,29,1,13,2,9,2,10,1,11,1,8,1,13,1,6,1,30,1,6,1,30,1,28,2,6,2,24,1,10,1,8,1,7,1,28,5,7,1,24,1,10,1,8,1,7,1,30,1,28,10,7,1,8,1,6,1,30,1,28,5,6,1,28,34,6,2,30,2,28,1,30,1,28,1,13,1,10,1,24,2,8,1,29,1,7,1,6,1,30,1,7,1,9,1,8,1,30,1,28,1,13,1,29,1,7,1,13,1,6,2,28,2,30,1,28,4,30,1,6,1,13,1,8,2,9,1,13,1,28,1,30,1,28,3,6,1,12,1,11,1,9,2,8,1,7,1,6,1,13,5,7,1,9,1,8,1,14,1,8,1,28,1,30,1,28,1,6,1,30,1,13,1,28,34,30,1,28,4,7,1,24,1,8,1,30,1,28,2,30,1,28,1,13,1,12,2,10,1,9,1,24,1,13,1,8,1,13,1,29,1,6,1,29,1,6,4,30,1,28,4,6,2,30,1,7,1,13,1,24,1,9,2,17,2,14,1,6,1,30,1,28,13,13,1,6,1,28,1,13,1,30,1,28,1,6,1,30,2,6,1,29,1,6,1,29,1,30,1,6,3,30,1,28,1,30,1,13,2,9,1,16,1,9,2,8,1,9,5,16,1,11,1,16,1,11,2,8,1,11,1,8,1,16,1,11,2,16,1,11,1,9,4,16,1,9,3,11,1,9,1,11,1,9,1,11,1,17,1,9,1,16,1,11,1,9,1,11,2,16,2,11,2,16,1,11,2,13,2,11,1,16,1,11,1,9,1,10,1,11,2,10,1,9,1,17,1,9,1,11,1,17,1,11,2,9,1,11,1,10,1,9,4,13,1,8,1,9,1,8,1,10,1,13,1,9,2,11,1,9,2,8,1,11,2,16,1,10,1,17,1,16,1,17,1,16,1,9,1,17,1,16,3,17,1,16,2,17,3,11,1,17,1,16,2,17,1,16,3,9,1,16,1,11,1,9,1,16,1,17,1,7,1,13,1,29,1,8,1,13,1,7,1,13,1,8,1,9,1,13,1,9,1,10,1,9,1,10,1,11,1,10,1,11,1,9,1,12,1,7,1,6,1,29,1,30,1,6,1,28,1,13,1,6,1,13,1,6,1,9,1,6,1,13,1,29,1,6,2,29,1,8,1,7,1,6,1,13,1,8,1,9,1,13,1,9,1,8,1,11,1,9,1,11,1,9,6,8,1,10,1,13,1,11,4,10,1,16,2,11,6,16,2,11,2,10,1,11,1,9,1,11,1,16,1,11,2,8,1,9,3,13,1,9,1,8,2,9,1,8,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,10,1,8,2,9,3,8,1,9,6,10,1,8,1,9,1,16,1,8,1,9,1,16,1,11,1,16,1,9,5,10,2,17,1,11,1,9,3,11,2,16,1,9,1,11,2,9,2,11,1,9,2,8,1,9,1,8,1,13,1,9,1,17,1,9,1,24,1,13,3,24,1,13,2,29,1,13,1,30,2,28,25,8,1,17,8,16,1,17,2,16,3,17,1,16,1,17,1,16,1,11,1,17,1,9,1,11,1,9,1,11,1,24,1,13,1,8,2,13,2,29,1,7,1,6,2,7,1,6,2,30,1,6,1,13,1,6,1,29,1,6,1,30,1,6,1,29,1,28,1,7,1,28,1,29,1,7,1,6,1,30,1,6,1,29,1,13,2,6,1,8,1,29,1,6,1,29,2,28,1,30,2,28,26,30,1,29,1,6,1,29,2,6,1,29,1,8,1,13,1,6,2,24,1,9,2,6,1,10,1,8,1,17,1,9,1,17,1,9,1,11,1,17,4,12,1,17,2,16,1,11,1,10,1,12,1,9,1,17,1,9,1,11,1,17,1,11,1,9,1,8,1,9,2,10,1,13,1,11,1,8,1,12,1,13,1,9,1,8,1,12,1,8,2,11,1,10,1,11,1,9,2,17,1,9,1,11,1,17,1,11,1,9,1,11,2,16,1,17,7,16,1,17,1,16,1,11,1,9,1,8,2,13,1,7,1,13,1,30,1,28,46,30,1,28,1,29,1,30,1,28,2,30,1,28,13,30,1,28,14,29,1,28,3,30,2,8,1,7,1,13,1,7,1,24,1,8,2,13,1,8,1,10,1,8,1,9,2,13,1,9,8,10,1,9,2,8,2,9,4,8,1,13,2,7,1,9,1,6,1,8,2,13,1,8,2,6,1,13,1,17,6,12,1,16,1,9,2,13,1,24,1,12,1,17,7,10,1,17,4,10,2,8,1,17,20,16,2,11,6,16,2,11,1,16,2,11,1,16,6,9,1,11,1,16,4,11,2,16,1,9,1,11,1,9,5,11,1,9,4,11,1,9,4,11,1,9,3,11,3,16,1,11,1,16,7,11,2,16,1,11,3,16,1,11,1,16,10,17,2,16,1,13,2,9,1,13,2,9,1,11,4,9,1,11,1,13,1,30,1,13,4,9,1,13,2,6,1,13,1,8,1,13,1,6,1,13,2,6,3,30,1,29,2,7,1,6,1,30,2,6,1,30,2,28,1,30,1,28,1,30,1,7,1,28,1,30,1,6,2,13,1,30,1,13,1,16,1,30,2,28,1,30,1,28,1,30,3,28,2,30,1,28,1,30,6,6,1,30,1,6,1,30,1,29,1,30,2,28,1,29,1,28,1,30,1,29,1,30,6,29,1,28,1,30,1,29,1,30,2,6,1,30,5,6,3,30,1,6,2,30,1,6,1,30,1,6,2,30,1,6,9,30,1,6,2,29,1,30,2,6,2,30,1,6,2,13,1,6,1,13,1,6,2,30,1,13,1,6,1,30,1,6,1,7,1,6,5,30,2,6,1,13,1,30,1,28,1,6,1,30,4,6,3,30,1,6,2,30,2,6,2,13,1,30,1,6,2,30,1,6,1,30,3,28,1,30,6,28,1,30,3,28,1,30,15,28,1,29,1,30,5,28,1,6,1,30,2,6,1,29,1,6,1,30,3,6,2,30,1,6,1,28,1,6,1,13,1,30,1,29,1,30,3,6,4,30,1,6,1,28,1,6,1,29,1,6,2,28,1,6,1,30,1,6,1,30,2,6,1,30,2,6,2,30,2,6,1,13,1,30,1,6,1,30,1,7,1,29,1,30,1,6,4,7,3,13,1,6,4,30,1,13,2,30,1,13,1,6,1,30,1,6,1,13,1,6,2,30,1,6,2,30,1,13,1,6,3,13,1,6,3,13,1,29,2,6,1,30,1,13,1,30,1,6,3,30,4,29,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,28,1,6,1,30,2,28,1,30,1,6,3,7,1,13,1,7,1,9,1,13,3,6,2,28,1,30,1,6,1,30,1,28,3,6,1,30,2,28,1,30,1,28,1,6,2,28,6,30,1,28,4,30,3,28,3,30,1,7,1,28,4,30,1,6,1,29,1,8,1,12,1,13,1,9,1,13,2,7,1,6,2,28,14,29,1,28,1,30,1,13,1,11,1,13,1,9,1,24,1,9,3,10,3,8,1,7,1,28,5,30,1,8,1,6,1,7,1,9,2,13,2,9,2,11,1,8,3,12,1,10,1,11,1,10,1,9,1,13,1,12,1,11,1,12,1,13,1,8,1,9,1,11,1,10,1,11,4,17,2,16,1,17,7,16,1,12,1,16,1,11,1,9,1,12,2,9,1,17,1,10,1,12,1,11,1,9,1,17,1,10,2,11,1,10,1,9,1,11,1,10,2,12,1,9,2,12,1,9,1,10,1,12,1,10,1,9,3,10,1,8,1,9,1,24,1,9,3,10,1,9,4,24,1,13,1,9,1,11,1,9,1,24,2,9,1,8,3,9,3,11,1,9,4,8,1,24,1,9,3,24,1,13,1,9,1,10,1,24,1,10,2,9,1,8,2,9,1,10,1,8,1,12,1,10,1,12,1,10,1,12,1,8,1,12,1,6,1,8,1,25,2,6,1,25,2,27,1,26,1,25,1,30,1,24,1,25,1,26,1,30,1,25,1,29,1,25,2,30,1,29,1,27,2,8,1,25,2,6,1,8,1,7,1,8,1,25,1,24,2,29,1,25,1,7,1,13,1,7,1,6,1,8,2,24,1,25,1,8,1,24,1,8,3,25,2,8,2,24,1,8,1,24,1,25,2,24,1,8,2,25,1,8,1,10,1,12,1,10,1,8,1,10,2,8,1,24,1,12,1,9,1,24,1,17,5,12,1,10,1,24,1,10,1,17,1,24,1,12,1,17,1,24,2,8,1,24,1,17,1,8,1,17,1,12,1,17,1,24,1,17,1,12,1,17,2,12,1,17,5,12,1,24,1,12,4,24,2,8,1,12,1,24,2,8,1,13,1,24,1,10,2,24,1,10,2,17,1,10,1,24,1,10,1,24,1,6,1,7,1,30,1,28,4,8,1,29,1,28,23,12,1,24,1,9,2,24,1,8,1,9,1,24,3,9,1,8,3,10,1,7,1,24,3,13,1,9,1,24,1,12,1,24,1,10,1,12,2,13,1,8,1,24,1,7,1,8,2,13,1,24,1,7,1,24,1,6,1,13,1,24,1,13,1,8,1,7,1,24,2,8,2,12,1,6,1,13,1,8,1,24,1,13,1,8,1,10,2,24,1,10,1,17,3,10,1,12,3,17,1,12,1,17,2,10,1,13,1,24,1,12,1,24,1,12,1,24,1,9,1,24,2,10,1,8,1,10,1,24,2,12,1,24,2,10,1,12,1,24,3,17,1,12,2,17,2,8,1,12,1,17,1,12,1,17,1,12,1,17,3,12,1,17,4,12,1,17,3,12,1,11,1,12,1,17,1,12,2,17,2,12,1,11,1,17,1,12,2,9,1,28,7,30,1,28,25,30,1,7,1,13,4,8,2,13,3,7,1,13,3,8,2,24,1,13,1,8,1,9,1,13,1,10,1,11,1,12,1,17,2,12,2,17,2,10,1,12,1,11,1,12,1,10,1,24,1,10,1,7,1,11,1,17,4,9,2,13,1,6,1,13,2,8,1,13,2,6,1,9,1,13,4,6,1,13,1,6,1,9,2,13,1,6,1,8,1,11,1,8,1,9,1,6,1,13,6,9,1,8,1,13,5,6,1,28,1,30,1,28,31,11,1,13,1,8,1,13,2,6,1,13,3,7,1,6,2,13,1,8,1,13,1,8,1,13,1,6,1,13,1,30,1,29,1,30,1,13,1,6,1,30,1,6,1,8,1,29,1,13,1,8,1,30,1,7,1,6,1,13,2,28,2,6,1,13,2,8,1,13,1,7,2,9,1,13,2,9,1,6,1,13,5,29,2,13,1,29,1,6,1,30,1,7,1,30,1,6,4,29,1,13,1,29,1,13,1,28,1,13,1,30,2,13,1,28,1,13,1,29,2,6,1,28,1,6,1,30,1,13,1,6,1,13,1,6,1,30,1,13,1,6,2,7,1,13,1,6,3,13,1,6,1,13,1,30,2,28,1,30,1,28,4,6,1,30,1,28,1,6,1,30,3,28,24,30,1,28,10,30,1,28,3,8,1,17,3,11,1,17,1,24,2,13,1,7,1,6,1,7,1,6,2,28,1,30,1,28,1,30,1,7,1,9,1,24,1,9,2,24,1,10,1,8,1,11,1,24,1,9,1,30,1,28,7,6,1,12,1,6,3,28,35,6,1,13,2,6,1,28,1,30,1,13,1,24,1,8,1,29,1,13,1,29,1,28,5,24,1,7,1,24,1,9,1,24,1,30,1,28,5,13,1,8,1,13,1,28,5,30,1,6,1,8,1,9,1,10,1,24,5,28,1,29,1,6,1,9,1,15,1,8,1,30,1,28,2,30,1,29,1,9,1,6,1,28,50,15,1,17,1,24,1,}, {28,1,6,1,28,19,30,1,28,3,6,2,13,1,29,1,30,1,28,2,30,2,13,2,6,1,8,1,7,1,13,2,8,2,10,1,16,1,13,2,29,1,6,2,30,1,28,3,8,1,7,1,10,2,28,6,13,1,8,1,9,1,24,1,29,1,30,1,28,9,30,1,13,1,9,1,8,1,29,1,28,1,30,2,7,1,8,1,28,36,30,2,28,1,30,1,6,2,13,1,15,1,9,1,24,1,8,1,30,1,6,1,28,1,7,1,9,1,24,1,9,1,13,1,30,1,7,1,29,2,6,3,28,1,6,1,30,1,29,1,28,3,29,1,6,1,7,1,30,1,8,2,6,1,28,5,7,1,10,1,15,1,8,1,12,1,24,1,29,1,7,1,29,1,6,1,13,1,8,1,13,2,8,1,15,1,9,1,8,1,6,1,30,1,28,1,6,1,29,1,13,1,28,34,30,2,28,1,30,1,28,1,6,1,24,1,8,1,29,1,28,4,6,1,17,1,12,1,10,1,12,1,8,1,24,1,8,2,6,1,7,1,28,1,29,1,13,1,29,1,6,1,29,1,30,1,28,5,6,2,7,1,13,1,9,1,12,1,17,2,14,1,13,1,6,1,28,13,29,1,6,1,30,2,28,1,30,1,29,2,6,1,30,2,7,1,30,1,6,1,28,1,6,2,28,1,30,2,9,1,8,1,10,1,11,1,9,1,11,1,8,1,9,3,11,1,9,1,11,1,16,1,11,1,16,2,11,1,16,1,9,1,16,2,9,1,16,1,9,3,11,2,9,1,10,1,11,1,9,1,11,1,9,2,8,1,9,1,16,1,10,1,9,1,11,2,9,1,11,1,17,1,9,3,16,1,11,1,17,1,16,1,17,1,11,1,17,1,16,1,11,2,9,2,16,1,8,1,9,1,17,1,11,1,16,1,11,1,9,4,11,1,10,2,9,2,10,1,8,1,9,3,11,2,8,1,16,2,11,1,16,1,9,1,16,1,9,1,16,1,17,1,11,1,16,1,17,1,16,3,9,1,17,1,11,2,16,2,17,1,16,2,11,1,17,1,16,2,9,1,17,1,11,1,17,2,16,1,9,1,16,1,13,1,30,1,13,1,8,1,29,1,8,1,9,1,13,1,9,1,8,1,11,1,9,1,8,1,9,1,11,2,9,2,17,1,8,1,29,1,30,2,6,1,13,1,7,1,30,1,6,1,29,1,13,1,6,1,13,1,6,2,8,1,30,1,7,1,6,1,7,1,13,1,8,1,13,1,9,1,8,1,9,1,8,1,13,1,10,1,9,7,10,1,11,1,9,1,12,1,17,1,11,1,10,1,16,2,11,1,16,2,11,1,9,1,16,1,11,5,9,1,11,2,10,1,8,1,9,2,10,1,8,1,9,1,13,1,8,2,9,5,11,1,9,2,8,1,9,1,8,2,9,5,8,1,9,3,10,1,11,1,9,4,11,1,9,1,11,2,9,3,10,1,11,3,9,2,16,1,11,1,10,1,11,1,9,1,11,2,9,1,11,3,9,1,11,1,9,1,10,1,11,1,10,1,8,1,9,1,8,1,9,3,17,1,13,1,8,1,13,2,29,1,8,1,6,2,30,1,28,1,6,1,30,1,28,24,13,1,17,9,16,2,17,2,16,1,11,1,17,1,16,1,17,1,16,3,10,1,9,1,10,1,8,1,24,2,8,1,24,1,8,1,13,2,6,1,13,1,6,3,13,1,7,1,6,1,8,1,28,1,30,1,6,2,30,1,28,1,29,2,30,2,6,1,30,1,8,1,30,1,6,1,13,1,30,1,7,2,28,1,29,1,28,2,29,1,28,3,30,1,28,3,30,1,28,20,30,1,6,1,30,1,13,4,8,1,6,1,13,1,8,1,6,1,24,1,7,1,13,1,8,1,9,1,13,1,17,1,10,1,11,1,16,1,11,3,9,1,17,1,11,1,17,2,16,3,11,1,9,1,13,1,10,1,9,2,10,1,8,1,13,1,12,1,13,3,17,1,13,1,10,2,11,1,8,1,12,1,13,1,9,2,8,1,9,3,11,2,10,1,9,2,17,1,9,1,17,2,16,1,17,1,11,1,17,6,11,1,16,1,9,2,13,1,6,2,30,1,28,45,30,1,6,1,30,1,28,3,30,1,28,28,29,1,30,1,28,1,29,1,28,2,6,1,30,1,6,2,8,1,13,1,8,2,9,1,11,1,8,2,11,1,13,1,9,1,13,1,9,2,8,1,13,1,9,2,8,1,9,1,8,1,9,2,8,1,9,2,8,1,13,1,8,1,9,1,13,2,8,1,13,5,6,1,13,1,17,6,16,1,11,1,8,1,9,2,17,8,12,1,10,1,17,4,10,1,12,1,24,1,9,1,17,20,9,5,11,1,16,1,11,1,16,1,11,1,16,7,11,1,9,1,11,1,9,1,16,1,11,3,16,1,13,1,11,1,9,1,11,1,9,5,11,1,9,2,11,1,9,4,11,2,9,4,11,10,16,4,11,3,16,1,11,1,16,1,11,1,16,9,17,3,13,5,9,2,11,1,9,2,16,1,9,1,13,2,8,1,13,2,6,1,13,1,6,1,30,2,6,1,30,3,13,1,28,1,6,1,30,1,6,2,30,5,6,1,28,1,30,3,29,1,30,6,13,2,30,1,6,1,13,2,29,1,6,2,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,30,3,28,1,30,1,6,1,30,5,6,1,28,1,30,1,28,1,30,3,28,1,30,1,6,3,29,1,30,1,6,1,29,1,28,1,6,1,30,1,6,1,29,1,30,2,29,1,6,2,7,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,6,4,7,1,28,1,7,1,6,1,30,1,6,6,13,1,6,4,13,3,30,2,6,2,7,1,6,1,7,1,13,1,30,2,6,1,13,1,6,1,28,1,6,1,30,1,29,1,6,1,30,1,6,2,30,1,28,1,13,1,30,1,6,2,30,1,6,3,30,3,6,1,30,1,6,1,30,2,6,1,30,5,28,1,30,1,28,1,30,2,28,1,30,3,6,1,30,9,6,1,28,1,30,1,6,2,30,1,6,1,30,2,6,2,30,3,29,1,30,2,29,1,30,1,6,1,30,1,6,3,7,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,5,30,1,6,1,30,1,6,4,13,1,30,1,28,1,6,1,30,2,6,4,13,1,6,2,30,1,6,2,29,1,6,2,29,1,7,1,30,1,6,1,7,1,6,1,7,1,30,1,29,1,13,1,7,1,30,1,6,1,13,1,6,1,30,1,6,1,13,1,30,1,6,2,30,1,6,1,30,1,6,2,30,2,6,1,13,1,30,2,13,2,6,4,13,1,6,3,30,2,28,2,30,3,29,2,30,2,29,1,30,3,28,1,30,6,6,2,30,1,13,1,6,1,13,1,9,1,13,1,8,1,13,1,6,1,30,2,28,4,30,3,6,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,3,28,4,30,2,28,4,30,1,28,4,7,1,24,1,9,4,24,2,6,2,29,1,30,1,28,16,13,1,24,2,12,1,8,1,10,1,12,1,9,1,16,1,11,3,9,1,6,1,28,3,6,1,9,1,8,2,9,2,10,1,9,1,8,1,10,1,9,2,8,1,13,1,8,1,9,2,11,1,8,1,9,1,10,1,8,1,12,1,10,1,9,1,8,1,9,1,10,1,16,1,12,1,11,2,17,1,16,3,17,6,16,1,10,1,17,1,12,1,9,3,12,1,11,2,12,1,11,3,12,1,10,1,12,2,10,1,11,1,10,1,11,1,9,1,10,1,11,1,9,1,12,1,8,1,12,2,11,1,9,2,10,1,11,1,8,1,10,1,8,1,9,2,11,1,9,1,13,1,9,1,13,1,9,1,24,1,11,1,24,1,8,1,24,1,8,1,9,2,10,1,9,1,24,1,10,1,9,1,24,2,8,1,10,1,13,1,9,1,24,1,8,1,9,2,24,1,8,1,24,1,9,4,24,1,10,1,9,2,12,2,10,1,9,1,24,1,17,1,12,2,10,1,8,3,25,1,7,1,8,1,30,1,29,1,30,1,6,1,30,1,29,1,30,1,26,1,27,1,26,1,27,1,6,1,30,1,25,1,26,1,27,1,25,1,8,1,29,1,25,1,8,2,7,1,25,2,29,1,24,1,7,2,29,1,24,1,8,2,7,1,24,1,25,1,8,1,25,1,8,1,26,1,25,1,24,1,27,1,8,1,24,1,25,1,26,1,25,1,24,1,8,1,25,1,8,1,25,1,8,1,25,1,24,1,25,1,6,1,24,4,8,1,12,1,10,1,17,1,12,1,9,1,17,2,10,1,12,1,10,1,17,1,24,1,12,1,24,1,12,1,24,3,8,1,24,1,8,2,24,2,12,1,17,2,24,1,17,2,10,1,17,2,12,1,17,1,12,1,17,1,12,3,10,1,12,1,24,1,10,1,8,1,24,2,8,1,24,1,12,1,24,2,8,1,24,2,10,4,24,1,10,1,24,3,13,1,29,1,28,3,30,1,13,2,28,22,29,1,9,1,24,1,12,1,8,1,12,1,24,1,9,1,24,1,9,1,10,2,8,1,10,1,24,2,8,1,24,1,8,2,12,1,8,1,24,1,12,1,9,1,10,1,8,1,10,1,24,2,8,1,24,1,8,3,24,1,8,1,13,2,24,1,8,1,24,1,7,1,9,1,10,1,24,1,8,4,13,1,7,1,10,1,6,1,9,1,10,1,24,1,9,1,17,1,12,1,10,1,24,1,12,4,17,1,12,1,10,1,12,1,24,1,9,1,8,1,10,1,17,1,24,3,10,1,12,1,24,2,12,2,8,1,17,1,24,1,12,1,10,1,8,1,24,1,12,1,10,2,12,4,17,1,12,1,10,1,17,2,12,1,17,7,12,1,17,1,12,1,17,4,12,1,17,3,11,1,12,3,17,2,10,1,28,35,13,2,8,1,24,1,13,1,8,1,13,3,7,3,13,2,7,1,8,1,24,1,13,1,8,1,24,1,8,1,12,1,11,1,10,1,12,1,17,2,12,1,17,1,11,1,10,1,12,2,11,2,9,1,17,1,9,1,10,2,17,3,9,3,13,1,6,1,9,1,13,1,8,1,13,1,8,2,13,1,9,1,13,1,6,3,13,6,9,2,13,2,7,1,6,1,9,1,13,1,8,1,9,1,16,1,11,1,8,1,6,1,13,1,7,1,13,1,28,34,9,2,8,1,6,1,8,1,13,2,8,1,13,2,6,1,13,2,8,1,13,2,8,1,13,6,6,2,7,1,6,1,30,1,13,2,6,1,13,1,6,2,13,1,6,1,30,1,13,1,6,2,29,1,13,1,6,1,9,3,6,1,13,1,7,1,13,1,6,1,7,1,9,1,13,1,6,2,13,1,6,4,28,1,6,1,30,1,6,2,30,1,13,1,6,2,13,1,30,1,7,2,6,1,28,1,13,1,6,1,13,3,8,2,28,1,13,4,29,1,13,1,6,2,13,1,7,1,13,1,29,1,13,2,7,2,13,1,6,3,30,1,6,2,28,1,7,1,13,1,30,1,13,1,8,1,13,1,28,23,30,1,28,11,29,1,28,3,9,1,14,2,17,2,9,1,24,2,13,1,7,1,6,1,7,1,30,2,28,1,30,1,29,1,6,1,7,1,13,1,8,1,9,1,24,1,9,3,24,1,9,2,6,1,28,7,6,1,17,1,7,3,29,1,28,34,29,1,15,1,8,1,7,1,6,2,13,1,15,1,8,1,7,1,8,1,7,1,30,1,28,1,30,2,13,1,7,1,8,1,10,1,8,2,29,1,28,4,30,1,8,1,12,1,13,1,28,5,30,1,6,2,24,1,9,3,24,1,8,1,13,1,28,1,6,1,24,1,12,1,9,2,30,1,28,2,6,1,13,1,9,1,13,1,28,49,29,1,8,1,17,1,24,1,}, {30,1,29,1,28,1,30,2,28,14,30,1,29,1,30,1,28,3,29,1,7,1,13,1,28,4,30,1,6,1,13,1,28,1,30,2,29,1,13,2,8,2,9,1,10,2,8,1,29,1,6,1,30,1,28,4,13,1,8,1,12,1,9,1,6,1,28,5,6,1,24,1,17,1,8,1,7,1,29,1,28,10,6,1,24,1,13,1,6,1,13,1,28,38,30,1,28,4,30,2,7,1,13,1,8,1,24,1,9,1,13,1,6,4,13,1,10,1,13,1,8,1,29,2,30,1,6,1,29,1,6,1,28,3,30,1,28,2,30,1,29,1,28,2,6,2,24,1,11,1,13,1,28,5,6,1,9,1,10,1,9,1,24,1,29,1,6,1,8,1,6,1,13,1,7,1,8,1,13,3,9,1,10,2,6,2,28,2,6,1,29,1,30,1,28,38,8,1,24,1,8,1,29,1,28,3,6,1,30,1,12,1,9,1,15,1,9,1,24,1,8,3,13,1,6,1,30,1,6,2,29,1,30,2,28,4,30,1,29,1,30,2,6,1,8,1,9,1,12,1,17,2,14,1,13,1,28,9,30,1,28,4,6,1,28,1,30,1,6,1,28,1,30,1,13,1,28,1,6,1,29,1,13,1,7,1,6,1,29,1,28,1,30,1,28,1,7,1,28,1,13,4,11,1,13,1,11,1,9,1,10,1,11,3,9,1,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,2,13,1,16,1,9,1,11,2,9,5,10,1,16,1,9,1,11,1,13,1,9,1,11,1,16,1,11,1,9,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,1,17,1,9,5,11,3,9,1,13,1,16,1,9,2,11,1,13,1,11,1,9,1,8,2,13,1,9,1,10,1,13,1,16,1,13,1,9,3,16,1,9,2,16,1,8,1,11,1,16,1,11,1,9,1,17,1,9,1,11,1,16,1,17,1,16,1,17,1,16,2,11,2,17,3,16,1,11,1,16,1,17,2,11,1,16,1,11,1,10,1,11,1,9,3,13,5,8,3,9,3,10,1,11,1,9,1,10,1,9,1,11,1,9,1,8,1,6,2,29,1,6,1,30,1,6,4,29,1,8,1,13,1,6,1,24,1,6,3,8,1,30,1,8,1,13,1,8,1,9,3,24,1,8,1,9,2,16,1,8,1,13,1,9,3,11,1,8,1,9,1,11,1,9,1,11,1,16,4,11,1,17,1,11,1,16,3,17,1,11,1,9,5,11,2,9,1,13,1,9,1,8,1,9,2,8,1,9,1,13,1,11,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,8,1,9,2,6,1,11,1,8,1,13,3,8,1,9,5,10,1,8,1,9,1,11,1,9,1,10,1,9,2,8,1,16,1,9,2,11,1,9,1,8,1,9,1,11,1,16,1,10,1,11,1,9,1,11,1,13,1,11,1,10,1,11,1,9,1,16,1,8,1,16,1,9,6,13,3,9,1,8,1,13,1,9,1,24,1,13,2,8,1,7,1,6,1,29,1,28,26,30,1,17,9,16,4,11,1,17,1,11,1,17,3,11,1,16,1,11,1,9,2,12,1,9,1,8,1,10,1,8,1,13,1,7,1,13,1,30,1,13,1,6,2,29,2,30,1,6,1,30,1,13,1,6,1,30,2,28,1,6,2,30,1,29,1,28,1,6,1,29,1,7,1,6,1,7,1,6,2,29,1,30,1,6,1,30,1,28,8,30,1,28,4,30,1,28,3,6,1,29,1,28,12,29,1,28,1,30,1,6,1,30,1,6,1,13,1,6,1,24,1,13,1,6,1,8,3,24,1,13,1,8,1,9,4,12,1,9,2,11,2,12,1,8,1,16,1,9,1,17,1,8,1,16,1,11,2,9,1,8,1,9,1,8,1,9,1,13,2,8,1,9,1,10,1,13,1,10,1,9,2,6,1,11,1,13,2,24,1,9,1,10,1,8,1,9,1,10,1,9,3,8,1,16,1,9,1,10,1,9,1,10,1,16,1,11,1,17,1,11,1,17,2,16,1,17,2,16,1,17,1,16,2,10,1,16,1,9,1,8,1,7,1,30,1,28,28,30,1,28,15,6,1,28,1,29,2,30,1,29,1,28,1,29,1,28,11,30,1,28,18,29,1,28,1,30,1,28,1,30,1,28,1,7,1,29,1,13,1,8,1,24,2,8,1,9,4,8,3,9,2,10,1,9,1,8,1,13,2,9,1,8,1,9,1,13,1,8,2,13,1,8,1,13,1,7,1,13,1,6,1,13,5,8,1,29,1,8,1,17,7,16,1,11,1,16,2,17,8,24,1,11,1,17,4,12,3,13,1,10,1,17,21,11,3,9,1,16,1,11,1,16,5,11,1,16,3,11,1,9,1,11,2,16,1,9,1,11,2,9,2,16,1,9,1,11,1,13,1,11,1,9,8,11,2,9,1,13,1,9,2,11,2,9,4,11,5,16,1,11,1,16,2,9,1,11,6,16,9,17,1,16,1,17,3,9,1,6,1,9,1,13,2,11,2,9,3,16,1,13,2,8,1,13,1,30,1,6,1,30,4,6,1,29,1,6,1,29,1,30,2,28,1,30,5,28,1,30,1,29,1,6,1,30,1,6,1,30,6,6,2,30,1,13,2,7,1,13,1,6,1,13,1,6,1,30,3,28,2,30,2,6,1,28,2,29,1,30,5,13,1,6,4,30,1,29,1,6,1,30,2,6,1,28,1,29,1,30,2,29,1,30,3,6,1,30,4,6,1,30,1,6,1,28,1,30,6,28,1,6,1,28,1,29,1,30,3,28,1,29,1,30,3,6,3,30,1,6,3,30,1,29,1,6,1,30,3,6,3,7,1,6,1,7,1,6,4,13,1,6,2,13,1,6,2,29,1,6,3,7,1,13,2,30,1,6,4,30,1,6,2,30,1,6,1,29,1,6,3,30,1,13,1,6,3,30,1,6,4,30,1,6,1,28,1,30,5,28,1,30,1,29,1,6,3,13,1,28,1,30,2,28,1,7,1,30,5,6,1,30,2,28,1,30,1,6,1,29,1,6,3,30,1,6,2,7,1,6,2,30,4,28,1,6,3,29,1,30,4,6,1,30,1,6,1,30,2,6,1,30,1,29,1,28,1,30,1,6,1,28,1,30,1,29,1,30,3,6,1,30,1,28,1,6,1,30,1,6,3,28,1,30,3,6,1,30,1,13,1,6,1,30,1,6,2,7,1,30,1,6,8,13,2,29,1,13,1,30,1,13,1,30,2,13,1,6,2,13,1,28,1,7,1,6,1,30,1,6,4,30,1,6,2,30,1,6,2,29,1,13,1,6,3,29,1,6,4,30,4,29,1,6,2,30,1,28,1,6,2,30,3,6,1,30,1,6,2,30,3,6,1,30,1,6,2,7,1,13,1,9,1,13,1,9,1,13,1,28,1,30,1,28,1,29,1,30,2,28,1,30,4,6,1,30,1,28,2,6,1,28,1,30,2,28,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,5,13,3,30,1,28,2,8,1,17,1,10,1,11,1,12,1,24,1,13,1,6,1,7,1,6,1,28,15,29,1,6,1,7,1,8,1,12,1,11,1,9,1,10,1,11,5,16,1,11,1,9,1,13,1,28,1,7,1,13,1,9,2,11,1,10,1,11,1,9,1,11,2,12,1,11,1,8,1,24,1,8,3,24,1,9,2,12,1,8,1,10,1,11,2,9,3,11,4,17,2,16,4,17,5,11,1,10,1,11,3,9,2,10,1,9,1,17,1,11,1,10,1,11,1,12,1,11,2,9,2,11,1,9,1,10,2,11,1,8,1,9,1,11,1,9,1,10,1,9,2,11,1,9,1,8,1,13,1,11,1,9,2,11,1,9,2,8,1,12,1,9,1,11,2,13,1,24,4,9,1,8,1,9,3,24,1,9,1,24,1,10,1,8,1,7,1,9,1,8,1,10,1,24,1,9,4,13,1,9,1,8,1,9,1,24,1,12,1,9,1,12,2,11,3,17,1,10,1,12,1,9,1,17,2,10,1,12,1,8,1,10,1,24,1,8,1,6,1,7,1,29,1,6,2,25,2,8,1,25,2,30,1,29,1,26,1,29,1,26,1,30,1,27,2,29,1,25,4,24,1,8,2,6,1,8,1,7,1,25,1,8,1,6,1,8,1,7,1,25,1,6,2,25,2,6,1,25,3,8,1,6,1,26,1,25,1,24,1,6,1,8,1,6,1,25,1,8,2,24,4,8,2,25,1,8,2,24,1,10,1,24,2,10,1,17,1,12,1,10,1,17,3,24,1,12,1,10,1,12,1,17,1,10,2,12,1,24,1,10,1,8,1,24,2,8,2,10,1,17,1,12,1,10,2,24,1,12,1,17,4,24,1,17,1,12,1,17,1,24,2,12,1,24,1,12,1,8,1,24,1,8,1,13,1,8,1,12,1,24,1,10,3,24,5,10,1,12,1,24,3,7,2,28,4,13,1,12,1,30,1,28,21,9,2,8,1,9,1,12,1,24,3,13,1,10,1,24,2,9,1,24,2,8,1,12,1,8,3,24,1,7,1,24,1,10,1,8,1,10,1,12,1,9,1,8,2,24,1,10,1,24,1,13,1,10,1,24,1,8,1,7,1,9,1,7,1,8,1,24,2,8,1,7,1,8,1,24,1,8,1,10,1,7,2,13,2,24,1,8,2,17,1,10,1,12,1,17,1,10,1,12,3,17,2,12,1,17,1,9,1,12,1,10,1,13,1,8,1,12,1,8,1,7,1,8,1,10,2,9,1,12,1,24,1,8,1,24,1,10,2,24,3,12,1,10,2,12,4,10,1,12,1,17,1,24,1,17,4,12,1,17,1,12,1,17,2,12,1,17,1,12,1,17,5,12,1,17,1,12,1,8,1,17,1,12,3,10,1,12,1,11,1,9,1,28,33,6,1,13,1,7,1,8,1,13,1,9,1,13,4,6,1,13,1,7,1,13,1,8,1,13,1,9,1,8,2,13,2,11,1,10,1,9,1,12,1,17,4,12,1,10,1,11,1,17,1,10,1,17,3,9,1,11,1,13,1,12,1,17,4,11,1,9,1,13,3,9,1,13,1,9,2,13,3,8,1,13,2,7,1,6,1,13,2,9,1,13,2,6,1,16,1,6,1,13,8,11,1,13,1,9,1,13,2,8,1,6,2,28,32,6,1,13,2,9,1,13,2,6,1,13,1,9,1,13,1,8,1,6,1,13,4,9,1,13,5,8,1,13,2,9,1,13,3,29,1,8,1,6,3,13,2,7,1,30,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,9,1,13,1,6,1,7,1,6,1,13,3,6,2,13,2,7,1,29,2,28,1,6,2,28,1,13,1,30,1,29,1,13,1,30,1,13,1,6,1,13,2,6,1,13,2,30,1,7,2,6,1,13,1,6,2,30,1,28,1,13,1,6,1,13,1,30,1,13,2,6,1,7,1,6,2,13,1,30,1,6,1,30,1,6,1,13,3,8,1,7,1,8,1,13,1,7,1,13,2,6,1,28,1,29,1,28,24,7,1,30,1,28,13,30,1,9,1,17,1,16,1,12,1,10,1,24,3,8,1,7,1,6,2,30,2,28,1,30,2,6,1,7,1,13,1,9,1,8,2,24,1,12,1,9,1,24,1,11,1,12,1,29,1,28,4,30,1,28,2,6,1,17,1,7,1,6,2,29,1,28,34,6,1,9,1,6,2,28,2,8,1,9,1,6,1,8,1,7,1,28,3,30,1,29,1,6,1,8,1,24,1,8,1,13,1,8,1,28,6,13,1,17,1,6,1,28,5,6,1,29,1,8,2,9,1,8,1,13,1,10,1,8,1,30,2,28,1,7,1,10,1,12,1,7,1,28,2,29,1,13,1,7,1,8,1,6,1,28,50,24,1,10,1,24,1,}, {30,2,28,23,6,2,29,1,30,2,28,1,30,1,28,6,30,1,6,1,13,2,8,2,12,1,9,1,13,1,6,1,13,1,6,2,28,2,29,1,7,1,6,1,12,1,8,1,13,1,28,5,6,1,8,1,10,1,8,1,13,1,6,1,28,1,30,3,28,4,29,1,6,1,13,1,10,1,12,1,8,1,29,1,28,40,30,1,28,1,29,1,28,1,30,1,6,1,13,1,7,1,8,1,10,1,30,1,7,2,28,2,13,1,9,1,11,1,6,1,28,1,29,1,6,1,7,1,6,1,29,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,7,1,13,1,24,1,12,1,8,1,30,1,28,4,29,1,9,2,13,1,24,1,13,2,6,1,8,1,7,1,13,1,6,1,8,1,10,1,9,2,14,2,28,2,29,1,28,1,30,1,6,1,28,39,8,3,29,1,28,3,30,2,12,2,9,1,24,1,8,1,24,2,8,2,6,2,29,1,6,1,29,1,6,1,29,1,30,1,28,1,30,1,28,1,30,1,29,2,6,1,8,2,9,1,10,1,17,2,14,1,8,1,28,15,13,1,6,2,30,2,29,1,30,1,6,1,13,1,28,1,30,1,29,1,6,1,28,1,30,1,7,1,28,1,6,2,13,1,10,1,8,1,10,1,9,1,11,1,9,3,10,1,9,1,11,1,9,1,16,1,8,1,11,1,9,1,16,1,9,4,8,1,11,2,9,6,8,1,11,1,10,2,9,2,16,1,9,1,16,1,9,3,16,2,9,1,17,1,11,1,10,1,9,1,11,4,8,1,9,3,11,2,10,1,9,1,16,1,10,1,9,1,8,1,9,2,11,1,9,1,16,1,11,1,9,4,17,1,11,2,8,1,11,1,9,2,11,3,17,1,11,2,16,2,17,1,16,1,11,1,17,2,16,2,11,3,16,1,11,1,16,1,17,1,16,3,11,1,17,2,16,1,11,1,9,1,11,1,16,1,11,1,16,1,10,2,9,1,7,1,8,1,6,1,7,1,8,2,9,1,11,2,13,1,9,2,13,1,11,1,8,1,9,1,16,1,8,1,11,1,9,1,7,1,6,1,29,3,6,1,13,1,6,2,13,1,30,1,6,2,13,1,6,1,13,1,8,2,29,1,13,1,24,1,13,1,24,1,9,1,13,1,8,4,13,1,8,1,9,1,10,1,9,1,16,1,11,1,9,2,8,1,17,1,12,1,16,1,17,1,16,1,9,1,16,2,11,2,16,3,11,1,10,1,11,1,16,2,9,6,8,1,9,1,8,1,9,2,8,3,9,3,10,1,8,1,13,1,9,5,13,1,8,1,13,1,10,1,9,7,8,1,11,1,9,2,11,2,10,1,8,1,9,1,10,1,9,1,8,1,9,1,10,1,11,1,17,1,11,2,16,1,9,1,10,1,9,3,11,1,9,2,11,3,9,2,8,1,9,2,8,1,13,1,9,1,11,1,9,1,10,1,13,2,8,1,7,1,13,1,6,1,30,3,28,25,13,1,17,11,16,7,17,1,10,1,9,1,16,1,8,1,9,2,8,1,9,1,8,2,13,1,7,1,13,1,7,2,6,1,13,1,6,1,30,1,13,1,6,3,7,1,29,1,30,5,6,1,29,1,7,1,6,1,29,1,6,3,7,2,28,3,30,1,28,7,30,1,28,1,30,2,28,18,29,1,30,2,8,1,6,3,13,1,8,1,6,1,13,1,7,1,8,1,13,1,6,1,13,2,9,1,7,1,9,1,8,2,9,3,12,1,11,1,12,1,9,1,10,1,9,1,11,1,10,2,9,1,11,1,9,6,24,1,13,1,9,2,8,1,9,1,8,1,10,1,13,1,9,2,24,1,8,2,9,2,13,1,16,1,9,6,10,1,11,1,16,1,9,3,11,1,17,1,11,2,16,1,17,3,16,2,11,1,16,1,11,1,9,1,13,1,6,1,7,1,28,40,30,1,7,1,28,1,30,1,28,1,29,3,28,1,6,1,29,1,28,1,30,1,28,6,30,1,28,1,30,1,28,19,30,1,28,6,30,1,6,1,13,1,8,2,13,2,9,2,8,1,9,2,11,1,9,2,13,2,8,1,9,3,8,1,9,1,13,1,9,2,13,1,30,1,8,1,13,5,8,1,6,3,29,1,8,1,17,18,12,1,8,1,11,1,17,3,12,1,24,2,8,3,17,17,16,1,17,3,16,2,11,3,16,2,9,1,16,1,9,1,16,2,11,7,9,1,11,1,16,1,11,1,9,1,11,1,9,2,11,1,16,1,11,1,9,1,16,1,9,3,11,1,9,6,13,3,9,4,11,1,9,1,11,5,16,2,11,1,9,1,11,2,16,1,11,3,16,5,11,1,16,2,17,2,16,1,17,3,9,1,13,1,9,1,13,2,9,1,11,2,13,2,11,1,13,3,6,4,30,4,6,1,30,2,6,1,30,1,6,4,30,1,28,1,30,1,6,1,30,1,28,1,30,1,29,1,30,1,29,1,30,3,6,1,30,2,6,2,13,2,6,1,7,1,6,2,13,1,30,2,6,1,29,1,30,4,6,1,30,2,6,2,30,5,6,1,29,1,13,1,30,4,6,1,30,6,6,1,29,1,28,1,6,1,28,1,6,1,30,2,28,1,30,5,28,1,30,2,13,1,6,1,29,1,30,2,6,1,30,1,6,1,28,1,6,1,30,1,6,2,30,1,6,3,13,1,6,1,30,4,6,2,30,1,6,2,30,1,13,1,6,1,13,1,6,2,13,1,7,1,29,1,6,10,13,1,6,1,13,2,30,1,6,1,29,1,6,2,7,1,30,1,6,2,30,1,13,1,30,1,6,6,30,1,29,1,6,2,28,1,30,2,28,1,30,2,28,2,6,1,30,2,6,1,28,1,6,1,28,1,30,1,29,1,6,1,30,1,6,4,30,3,6,1,30,2,6,1,30,2,6,1,30,1,29,1,13,1,28,1,6,2,28,1,6,1,30,1,6,2,30,1,6,1,7,1,6,1,30,1,6,1,29,1,30,1,6,1,28,1,6,1,28,1,30,3,6,1,30,1,7,1,30,1,6,1,30,3,6,2,30,2,6,3,30,1,29,1,30,1,6,3,30,1,6,6,30,1,6,7,7,1,6,2,29,1,6,6,13,1,7,1,6,2,7,1,6,1,30,1,13,1,6,1,30,1,13,1,28,1,6,1,13,1,30,2,6,2,7,1,6,1,7,1,6,5,13,1,30,1,6,1,30,1,6,1,30,1,6,3,30,1,6,3,30,2,6,1,13,1,6,1,30,1,6,1,30,2,28,1,30,2,6,1,30,1,6,2,13,1,30,1,11,1,13,1,7,1,28,1,30,1,6,1,30,3,28,1,30,1,28,1,30,2,28,3,6,3,28,1,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,1,6,1,29,1,28,4,13,3,30,1,28,2,8,1,17,1,12,1,17,2,24,1,13,1,24,1,6,1,28,2,29,1,28,1,29,1,28,1,30,2,28,6,15,1,8,1,9,4,10,1,11,1,12,1,11,1,12,1,17,1,11,1,17,1,11,1,16,1,11,1,9,1,13,1,8,2,11,1,9,1,11,2,9,1,11,2,9,1,17,1,11,1,10,1,24,2,9,3,24,1,9,2,11,1,10,1,9,1,12,1,9,1,11,1,9,1,11,2,12,1,11,1,17,1,16,3,11,1,17,5,16,1,17,1,12,1,11,2,10,1,12,1,11,1,9,3,12,1,11,1,17,1,11,3,10,2,11,1,10,1,9,1,17,1,13,1,9,1,12,1,9,1,10,1,8,1,10,1,8,1,17,1,9,1,8,1,9,1,17,1,9,1,8,1,11,1,8,2,9,1,10,1,24,1,9,1,12,1,11,1,9,1,12,1,9,1,10,1,9,1,24,1,8,1,9,1,24,1,10,1,11,1,24,1,13,1,9,3,13,1,12,1,9,4,12,1,11,1,12,1,8,1,24,1,9,1,10,1,24,1,9,1,10,2,12,1,24,1,12,2,10,2,17,3,12,1,24,1,10,1,24,1,25,1,6,1,25,1,30,1,25,1,8,1,27,2,30,1,26,1,29,1,6,1,25,1,30,1,29,1,25,1,27,1,8,1,25,2,6,1,25,1,8,1,7,3,25,2,6,1,25,1,8,1,25,1,7,1,25,2,8,1,25,1,8,1,26,1,25,1,6,1,8,1,25,2,24,1,25,1,8,1,27,1,25,1,24,1,25,1,10,1,24,2,8,1,25,1,8,1,10,1,8,2,24,7,10,1,8,1,12,1,17,1,10,1,17,2,24,1,10,1,17,1,10,1,8,1,12,1,24,1,8,1,10,2,13,1,24,1,8,2,25,1,10,4,12,1,24,1,17,2,12,1,17,1,12,1,17,2,12,1,17,1,12,1,10,1,24,1,8,1,24,2,10,1,25,1,24,2,7,1,24,1,8,1,24,1,8,1,24,1,8,1,24,1,12,1,8,1,9,1,10,1,8,1,24,1,13,1,8,1,7,1,6,1,30,1,28,3,24,3,28,20,7,1,8,1,24,3,8,1,9,1,10,1,24,4,8,1,24,1,10,1,24,1,13,1,8,1,13,1,8,2,7,1,12,1,24,1,8,1,24,1,10,1,24,1,13,1,10,1,9,1,8,1,24,2,12,1,8,2,13,1,7,1,8,2,7,1,8,1,10,1,24,1,12,1,13,1,24,1,7,1,24,1,13,1,10,1,8,1,13,1,10,2,24,4,12,2,17,1,12,1,17,1,12,2,17,1,10,1,17,1,12,1,13,1,10,1,12,1,17,1,12,1,24,1,12,1,24,1,10,1,24,1,8,1,24,1,17,1,24,1,10,1,8,2,12,1,13,1,24,2,12,2,10,2,12,2,9,1,10,1,12,2,17,1,12,1,17,1,12,1,17,6,12,1,17,1,12,1,17,3,12,1,17,5,12,2,17,2,8,1,6,1,28,7,30,1,28,24,30,1,6,1,13,1,8,3,9,1,8,1,13,1,7,1,13,1,8,1,7,1,13,2,9,1,13,2,9,1,8,1,9,1,10,2,9,1,10,1,17,1,12,1,17,1,12,1,17,2,11,1,17,2,10,1,17,1,12,1,11,1,12,1,11,1,24,1,17,5,8,4,9,1,8,1,13,1,8,1,13,6,6,1,13,1,7,1,13,2,7,1,6,1,13,1,9,2,13,2,8,1,6,2,13,1,6,1,13,2,11,1,13,1,9,1,13,1,7,1,30,1,8,1,30,1,28,32,29,1,8,1,9,2,7,1,30,1,7,1,13,3,9,1,6,1,7,1,13,4,8,1,13,2,9,1,13,2,9,1,6,1,9,1,13,3,8,1,13,4,8,1,6,1,13,1,6,2,13,1,6,1,13,1,30,1,7,1,6,1,7,1,13,1,6,3,30,2,6,1,30,1,8,1,13,1,6,1,30,1,6,2,30,2,6,3,30,1,28,1,29,1,6,1,28,1,13,1,6,1,30,1,6,1,13,1,30,1,7,1,13,1,7,1,6,1,13,2,29,1,13,1,6,1,30,1,13,1,6,2,13,1,6,1,13,2,8,1,6,1,13,1,6,1,7,1,13,1,30,1,13,6,6,1,7,1,8,1,7,1,6,1,28,1,6,1,28,33,29,1,28,7,9,1,14,2,12,2,10,1,8,1,7,1,8,1,30,2,29,1,28,1,30,1,29,1,28,1,29,2,13,1,29,1,9,1,13,1,9,1,10,1,11,1,8,1,9,1,10,1,8,1,30,1,28,7,29,1,10,1,8,1,6,1,28,1,29,1,28,34,6,1,24,1,6,1,28,1,6,1,28,1,8,1,14,1,13,1,8,1,6,1,28,2,30,1,28,2,6,1,13,1,24,1,8,1,24,1,7,1,28,6,8,1,9,1,30,1,28,5,6,1,8,2,24,1,8,1,10,1,13,1,24,1,13,1,6,2,28,1,8,1,9,1,10,1,24,1,28,2,30,1,8,1,12,1,9,1,6,1,28,49,6,1,12,1,9,1,30,1,}, {29,1,28,2,30,1,28,20,29,2,6,1,28,2,30,1,28,1,30,2,28,5,30,2,13,2,9,1,8,1,9,1,13,1,8,1,6,3,28,4,7,2,12,1,24,1,6,1,28,5,29,1,8,1,9,2,8,3,29,1,7,1,30,1,29,1,28,1,29,1,13,1,6,2,13,1,9,2,29,1,28,39,30,1,28,5,6,1,13,2,6,1,24,1,10,1,29,1,30,1,6,1,29,1,6,1,30,1,15,1,16,1,30,1,28,1,13,1,7,1,30,1,6,2,29,1,30,1,28,6,30,1,28,1,6,1,7,1,8,1,10,1,24,1,6,1,28,4,30,1,10,2,8,2,6,2,13,1,6,1,8,1,13,1,8,2,24,1,8,1,9,1,14,1,15,1,30,1,28,2,30,1,29,1,6,1,29,1,28,38,29,1,24,2,29,1,28,3,30,1,7,1,10,1,17,1,9,1,8,1,9,1,13,1,24,2,6,2,13,1,6,3,30,2,28,2,30,1,28,1,6,2,30,1,7,1,6,1,8,1,9,2,12,1,17,2,13,1,28,15,6,4,30,3,6,4,29,1,28,1,6,1,28,1,6,2,30,1,7,1,13,2,11,1,9,1,11,1,9,1,10,1,11,3,16,1,11,1,16,1,9,1,16,1,11,2,9,1,11,2,9,3,11,1,16,1,9,4,10,1,11,1,9,2,16,1,11,1,13,1,11,1,16,1,8,1,11,1,9,1,11,1,10,1,8,1,11,1,16,1,11,3,16,1,11,1,9,1,17,1,9,1,11,3,17,1,9,1,16,1,10,1,11,1,13,1,9,1,8,2,11,1,9,2,11,1,9,1,13,1,9,4,8,1,11,1,9,1,13,1,11,1,16,1,9,1,11,1,9,2,16,1,11,1,13,1,11,1,16,1,11,1,16,1,11,1,16,2,17,1,11,1,9,1,16,1,17,2,16,5,11,1,17,2,16,1,17,1,16,1,9,2,16,1,11,2,10,1,11,1,8,1,13,1,7,1,6,3,7,1,9,1,13,2,7,1,9,1,8,1,9,1,11,1,10,1,12,1,10,1,11,1,12,1,9,1,6,1,30,2,6,2,7,1,29,2,13,2,6,1,9,1,6,1,8,1,29,1,6,1,7,1,13,3,8,1,12,1,13,2,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,3,11,1,9,1,11,2,8,1,11,4,9,1,11,1,16,1,11,2,16,1,17,1,11,1,17,1,11,2,10,1,11,1,16,1,9,1,11,1,9,4,8,1,9,1,11,1,13,2,9,2,13,1,11,1,8,1,9,4,8,2,13,2,11,1,9,3,8,1,13,1,16,1,9,1,16,1,9,1,10,1,11,1,9,1,11,2,9,3,13,1,11,1,9,2,11,1,9,1,16,1,9,1,10,1,16,1,9,1,10,1,9,1,11,2,16,1,11,1,10,2,11,1,9,3,10,1,9,1,17,1,13,1,9,1,8,3,9,2,10,1,9,1,8,2,13,2,7,1,29,1,7,1,6,1,28,26,13,1,17,11,16,1,17,3,11,1,17,2,12,1,17,1,9,1,11,1,16,1,12,1,9,1,8,1,11,1,9,1,24,1,13,3,8,1,13,1,8,1,30,1,8,1,7,2,6,1,29,2,6,1,28,1,6,2,29,1,28,1,6,2,28,1,6,1,29,1,7,1,8,1,29,1,6,1,7,1,6,1,28,7,29,1,28,2,30,1,28,2,30,1,28,2,29,1,28,17,30,1,28,1,6,1,29,1,28,1,13,1,7,1,13,2,8,1,7,1,8,1,13,2,8,1,13,1,8,1,9,1,8,2,9,3,8,1,10,1,8,1,17,1,9,2,12,1,13,1,9,1,10,1,13,1,9,1,13,1,9,1,13,2,24,1,8,1,7,1,24,3,7,1,8,4,24,2,9,1,13,1,8,1,13,1,10,1,9,2,13,1,9,1,12,1,11,1,10,1,9,2,13,1,9,1,8,1,17,1,10,1,11,2,9,1,11,1,16,1,17,2,16,2,17,1,16,1,9,1,16,1,11,1,9,2,13,1,29,1,28,41,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,29,1,30,1,28,1,30,1,29,1,28,29,29,1,6,1,13,1,8,1,13,1,8,1,9,2,10,1,8,1,9,1,8,3,11,1,10,1,8,1,9,1,8,2,9,2,8,1,13,1,8,2,9,1,13,4,6,1,7,1,13,1,6,1,7,1,13,1,29,1,13,1,8,1,17,16,12,1,24,2,8,1,17,4,10,1,24,4,8,1,15,1,17,7,16,1,17,2,16,1,17,7,16,1,11,1,17,1,11,4,16,1,11,1,16,4,11,1,16,1,11,5,16,1,11,2,9,1,11,2,16,1,11,1,9,1,11,1,9,2,13,2,9,11,11,1,9,6,11,1,9,1,11,1,9,1,16,1,9,1,16,2,11,1,16,2,11,1,9,1,11,1,16,1,9,1,16,4,11,1,16,6,17,3,13,2,9,2,13,2,16,1,9,1,8,1,16,1,9,1,13,2,6,5,30,2,6,1,30,1,6,1,28,1,30,1,29,1,6,3,30,1,6,1,30,1,29,1,6,1,30,2,29,1,30,1,28,2,29,1,28,1,30,1,6,1,29,1,28,1,6,1,30,2,13,1,6,1,13,2,28,1,6,1,13,1,30,1,6,1,29,1,30,4,28,1,30,2,28,1,6,1,30,1,6,1,28,1,29,1,30,4,6,2,30,5,28,1,30,3,6,1,30,2,6,1,30,1,28,1,6,1,30,3,28,1,30,7,6,1,30,1,6,1,30,5,28,1,30,2,6,1,30,2,6,1,30,1,13,1,6,2,29,1,30,2,6,1,30,1,6,3,7,1,30,1,13,1,6,1,28,1,13,1,6,2,13,3,6,2,13,1,29,1,30,1,6,1,7,1,30,1,13,1,6,1,30,1,13,1,30,1,6,2,13,1,30,1,6,1,30,1,6,1,13,2,6,2,30,1,6,7,30,1,6,6,30,1,6,1,30,1,28,1,6,4,30,3,6,1,30,1,29,1,30,1,6,1,30,1,28,1,29,1,30,2,6,1,30,2,29,1,6,2,30,1,6,1,30,9,6,1,29,1,30,1,6,6,30,1,28,1,6,2,30,2,6,1,29,1,7,1,30,1,6,2,30,1,6,3,30,1,6,2,30,1,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,6,3,30,1,6,2,30,1,6,10,7,1,13,1,30,1,13,1,6,2,13,1,30,1,13,1,29,1,6,1,30,1,6,1,29,1,6,9,13,1,6,1,29,1,6,1,30,1,6,1,13,1,29,1,13,1,6,2,13,1,30,1,6,2,29,1,30,1,6,1,29,1,6,1,7,2,30,1,6,1,30,2,28,1,30,3,6,2,30,1,6,3,13,1,6,1,10,1,13,2,30,7,28,2,30,2,28,1,6,1,30,1,28,2,30,3,28,1,30,1,28,1,30,1,28,3,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,5,7,1,12,1,13,1,7,1,29,1,28,1,13,1,17,2,9,1,10,1,6,1,28,1,6,1,29,3,6,2,13,1,30,1,6,2,30,1,29,1,28,3,14,1,8,2,9,1,16,1,10,1,11,4,17,1,11,1,17,1,16,1,11,1,10,1,17,2,9,1,13,1,9,2,11,1,10,1,11,1,9,1,10,1,11,2,12,1,10,1,11,1,9,1,12,1,24,1,9,1,24,1,9,2,11,5,24,1,11,1,12,1,17,2,16,1,17,3,12,1,16,1,17,4,16,1,11,2,17,1,10,1,17,1,10,2,11,1,10,1,11,1,12,1,10,1,9,2,12,1,10,2,12,2,9,1,10,1,9,1,11,2,10,1,9,1,10,1,8,1,9,1,8,2,9,1,11,1,10,1,11,1,8,2,12,1,9,2,13,1,9,2,24,1,11,1,10,1,11,1,24,1,10,1,9,1,24,1,9,3,13,1,8,1,10,1,8,1,9,1,24,1,9,3,10,1,9,1,8,1,9,1,11,1,9,2,11,1,9,1,12,2,9,1,10,2,9,1,11,1,9,1,11,1,10,1,9,1,17,1,10,1,17,1,12,1,17,2,12,1,10,1,8,1,10,1,7,1,8,1,7,3,6,3,25,1,27,1,25,2,29,1,8,1,25,1,30,1,26,1,28,3,8,1,6,1,29,1,25,1,24,1,8,1,6,1,25,1,26,1,6,1,24,1,8,1,6,1,7,1,6,1,28,1,25,1,8,1,25,1,8,1,6,1,8,1,26,1,6,1,25,1,26,1,8,1,25,1,26,1,25,1,24,1,25,1,27,1,8,1,24,2,25,1,24,1,25,1,8,1,24,5,7,1,8,2,24,1,7,1,10,1,24,1,9,1,10,1,9,1,12,1,10,1,12,1,10,1,12,1,10,1,24,1,8,3,10,2,7,1,24,1,8,1,12,2,24,1,10,1,24,1,12,1,8,1,10,1,24,1,17,1,12,1,17,2,12,1,17,1,10,1,12,1,17,1,24,2,8,2,24,1,7,1,24,2,7,1,8,1,10,1,12,1,24,2,8,1,10,1,24,1,8,2,9,1,8,1,24,1,8,1,24,1,6,1,28,4,8,2,9,1,13,1,28,19,9,1,10,1,8,1,10,1,8,1,10,2,24,4,8,2,24,1,9,1,13,1,8,2,24,3,7,1,24,1,8,1,10,1,9,1,8,1,10,1,13,1,10,1,24,1,8,1,24,1,8,1,9,1,13,1,10,2,8,2,13,1,9,1,7,1,8,1,10,2,9,1,24,3,10,1,13,2,24,1,8,2,12,1,24,2,12,5,17,5,10,1,24,1,12,1,13,1,24,1,12,1,13,1,24,1,12,1,17,1,12,1,24,1,12,1,10,1,24,1,17,1,10,2,24,1,12,2,10,2,24,1,12,1,17,1,24,1,12,2,9,1,12,3,10,1,17,3,12,1,17,4,12,1,17,1,12,1,17,2,12,2,17,1,12,1,17,3,12,1,17,1,12,3,8,1,28,30,30,1,28,2,6,1,8,1,7,1,13,1,8,2,13,1,24,1,13,2,7,1,9,1,6,1,8,1,13,1,7,1,17,1,10,1,8,1,9,3,11,1,12,3,17,6,10,1,12,1,9,2,17,1,11,1,17,1,9,3,17,4,11,2,9,1,13,2,9,1,8,2,13,1,8,1,13,1,8,1,13,2,9,1,6,1,13,3,9,1,13,1,8,1,10,1,9,1,8,1,9,1,13,1,6,1,13,1,7,2,6,1,9,2,11,1,8,1,13,1,9,1,6,2,29,1,28,32,6,1,13,1,8,1,13,1,6,1,13,1,7,2,13,2,8,1,13,4,8,1,13,3,9,1,8,1,13,2,9,1,11,1,13,1,8,1,9,1,13,2,7,1,13,2,7,1,8,1,13,1,6,1,13,4,29,1,8,1,13,1,8,1,9,1,6,2,30,1,6,1,13,2,8,1,6,1,13,2,6,1,8,1,6,1,13,2,30,1,6,1,28,1,6,2,30,2,29,1,30,1,6,2,30,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,13,1,6,1,30,1,29,1,30,1,13,1,30,1,29,1,30,1,6,1,7,1,13,3,6,3,29,1,7,1,8,1,13,4,8,1,13,2,8,2,13,1,6,1,28,1,30,1,28,33,30,1,28,6,12,1,17,1,14,1,15,1,17,1,9,2,6,3,13,1,28,2,30,2,28,1,30,1,28,1,6,1,13,1,8,1,24,1,9,2,8,1,10,1,24,1,13,1,10,1,28,8,9,1,12,1,6,1,29,1,6,1,28,34,30,1,13,2,8,1,6,1,29,1,28,1,24,1,15,1,8,1,24,1,30,1,6,1,28,3,30,1,28,1,7,1,9,1,24,1,9,2,28,6,6,1,8,1,30,1,28,2,30,1,28,1,29,1,28,2,7,1,8,1,24,1,8,1,24,1,13,1,6,2,29,1,28,1,24,1,15,1,9,1,29,1,28,3,13,2,24,1,30,1,28,50,24,1,17,1,8,1,}, {6,1,28,23,6,2,7,1,29,1,28,10,30,2,13,1,9,1,7,1,13,1,11,1,7,1,8,1,13,1,29,1,6,2,28,3,6,1,13,1,17,1,10,1,6,1,28,3,30,1,28,2,24,1,10,2,14,1,9,1,8,1,6,1,29,1,28,1,30,1,28,4,30,1,6,1,24,1,9,1,28,44,30,1,28,1,6,1,7,1,6,1,13,1,6,1,10,1,8,1,28,2,6,2,13,1,9,1,16,1,29,1,6,1,29,1,13,1,6,1,29,1,30,1,28,1,29,1,28,6,30,1,28,1,7,1,6,1,9,1,8,1,9,1,28,6,12,1,9,3,13,1,6,1,7,1,6,1,13,1,9,1,8,1,13,2,8,1,9,1,14,1,9,1,30,1,28,2,6,1,29,2,30,1,28,1,30,1,28,36,29,1,24,1,13,1,6,1,28,4,6,1,24,1,10,1,17,1,10,1,8,4,7,1,6,1,29,2,13,1,6,3,28,1,6,1,28,3,29,1,6,2,29,1,8,1,9,1,10,1,17,3,13,1,28,10,6,1,28,4,6,1,29,1,30,1,28,1,30,2,28,1,13,1,28,1,29,1,6,1,13,1,30,2,29,1,30,2,6,1,7,1,8,1,13,1,9,1,16,1,11,2,9,1,16,1,11,2,9,1,11,1,17,1,9,1,11,1,13,1,16,1,9,1,11,1,9,1,8,1,9,1,11,1,9,1,16,1,9,1,16,1,13,1,9,1,8,1,11,1,9,1,11,1,9,1,17,1,11,1,10,1,9,1,8,1,11,1,16,1,9,1,8,1,9,1,16,1,11,1,17,1,11,1,9,1,16,2,9,1,16,1,11,2,9,1,11,1,8,1,16,1,11,1,8,1,11,1,9,1,11,1,9,1,10,1,9,3,13,1,9,1,8,1,11,1,9,1,13,1,16,1,9,2,12,1,9,2,13,1,8,1,9,1,10,1,9,1,16,1,10,2,9,1,16,1,9,1,16,1,17,1,11,1,9,1,16,1,17,1,16,1,11,1,17,2,11,2,16,1,11,4,16,3,11,4,16,1,11,1,10,1,16,1,11,1,7,1,13,5,9,1,13,1,9,2,10,1,9,1,10,1,8,1,9,2,11,1,9,1,13,1,24,1,6,1,7,1,29,1,6,1,7,1,13,1,29,3,8,1,6,1,13,1,6,1,13,2,8,3,9,1,8,1,9,2,7,1,9,1,29,1,9,1,8,1,13,1,9,1,8,3,13,1,9,1,13,1,11,1,13,1,9,1,11,1,16,1,9,1,17,1,11,2,16,3,11,2,17,1,11,1,16,2,11,3,9,1,10,1,9,1,16,1,9,1,8,1,11,1,13,1,10,1,9,2,8,1,9,1,13,2,9,1,8,4,9,4,16,1,8,1,11,1,8,1,16,1,11,1,9,2,11,1,9,1,11,1,9,1,10,1,11,1,8,1,11,1,16,1,11,2,8,1,11,3,10,1,11,1,9,1,11,2,16,2,11,1,9,2,11,3,9,1,11,1,9,1,16,1,11,2,10,2,9,3,8,3,17,1,10,1,9,1,8,1,13,2,8,2,13,1,6,1,7,1,28,1,29,1,28,25,7,1,17,15,11,1,16,1,17,4,12,1,11,1,10,1,17,1,8,1,11,1,9,1,8,1,9,1,13,2,7,1,6,1,7,1,13,1,7,1,6,1,13,1,6,1,29,1,8,1,30,3,13,1,30,1,28,1,6,1,7,1,28,1,7,1,13,1,29,1,6,3,29,1,28,1,29,1,28,10,29,1,28,1,30,1,28,22,7,1,6,1,13,1,6,2,8,1,13,1,24,1,6,3,13,3,24,1,8,3,9,1,8,2,13,1,24,1,10,1,9,1,10,1,9,1,12,1,9,1,8,1,24,1,7,1,9,1,10,1,8,3,24,1,13,1,24,1,9,1,13,4,8,1,11,1,13,1,8,3,24,1,13,1,8,1,24,1,8,2,10,1,9,1,8,1,9,1,8,1,10,1,9,1,8,1,12,1,9,3,8,1,9,2,11,1,12,1,11,2,16,5,17,4,11,1,9,1,6,1,28,1,30,1,28,34,30,1,28,1,30,2,13,1,29,1,30,1,6,2,28,1,6,1,28,1,30,1,6,2,28,1,6,1,29,1,6,1,29,1,28,1,30,1,28,29,30,1,7,1,13,2,8,1,7,1,13,2,9,1,8,3,10,1,8,1,13,1,9,1,8,2,9,1,8,1,13,1,8,2,9,1,13,1,7,1,9,1,8,1,6,1,13,2,6,3,8,1,6,1,30,1,13,2,17,15,12,1,8,1,6,2,12,1,14,1,17,2,12,1,9,1,24,2,8,2,24,1,9,1,17,10,16,1,17,4,11,1,17,2,11,1,17,4,16,1,11,2,16,1,11,4,9,1,11,3,16,1,11,1,16,1,11,5,16,1,11,3,9,3,11,1,9,2,11,1,9,1,11,1,9,4,13,2,9,1,13,1,9,3,11,1,9,1,16,1,9,1,11,1,9,2,11,4,9,2,11,2,16,1,11,3,16,1,11,1,16,7,17,1,16,1,17,3,9,1,13,5,16,1,13,1,9,1,16,1,13,2,6,1,7,1,30,2,29,1,30,10,28,1,30,1,28,1,30,2,28,1,6,1,30,2,28,1,30,1,28,2,30,2,28,1,30,2,6,4,13,2,9,1,8,1,13,2,30,1,28,1,30,1,28,1,30,4,28,1,30,3,6,1,30,1,6,2,30,2,28,1,30,1,29,1,6,1,28,1,29,1,28,1,6,1,30,2,6,2,29,1,30,1,29,1,6,1,29,1,30,2,6,1,30,2,6,1,30,2,28,1,6,1,30,2,28,1,30,3,6,1,30,1,28,1,30,5,28,1,6,2,30,1,29,1,30,2,6,1,30,2,6,1,29,1,30,2,28,1,29,1,6,1,30,1,6,1,29,1,6,1,7,1,13,1,6,1,28,1,7,1,6,1,13,1,28,1,6,1,13,1,6,2,13,1,6,2,29,1,13,2,30,2,6,1,13,1,30,1,6,2,30,2,6,5,28,1,13,1,6,3,7,2,6,4,30,1,6,4,30,3,6,1,30,2,6,1,28,1,6,1,28,1,6,1,30,1,6,3,29,1,6,1,30,1,29,2,30,1,13,1,28,1,29,1,6,3,30,3,28,2,30,1,28,2,30,4,6,1,30,1,29,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,2,30,2,6,1,30,1,28,1,30,1,6,1,30,3,6,1,29,1,6,4,30,1,6,1,30,1,6,1,29,1,6,4,13,1,29,1,30,1,29,1,6,4,7,1,6,3,13,3,6,1,7,1,30,1,6,1,13,1,28,1,6,1,13,1,6,1,29,1,6,1,13,1,28,1,6,3,13,1,29,1,6,1,13,2,30,1,13,1,30,1,7,1,30,1,7,1,6,1,30,1,7,1,6,4,30,1,13,1,7,1,13,2,6,3,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,2,28,1,30,4,6,1,28,1,6,2,29,1,28,1,13,1,6,1,13,1,9,1,13,1,7,1,30,1,28,1,6,1,30,2,6,1,30,2,28,1,30,2,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,3,28,5,30,1,28,5,6,1,9,1,8,1,13,1,30,1,28,1,29,1,10,1,9,1,13,2,6,1,30,1,6,1,28,1,6,1,13,3,6,1,28,1,30,2,6,2,28,2,13,1,9,1,10,1,9,1,16,1,9,1,11,1,10,1,11,1,17,4,11,1,17,1,16,1,17,2,9,4,16,1,10,1,9,1,11,1,9,1,11,1,9,1,11,3,9,2,12,2,9,1,12,1,9,2,17,1,10,2,11,2,12,1,11,5,9,1,16,1,17,5,12,1,17,1,11,1,17,1,11,1,17,1,12,1,17,1,12,2,8,1,11,2,9,1,17,1,10,1,9,1,12,1,10,1,11,2,9,1,11,1,9,1,10,2,9,1,11,1,8,1,13,1,9,2,8,1,17,1,9,1,11,1,10,2,9,2,10,1,9,2,13,1,10,2,8,1,9,1,12,1,9,1,8,2,9,1,12,1,9,1,8,1,24,1,8,1,10,1,24,1,9,2,8,1,24,2,10,2,11,1,9,1,10,1,9,2,11,1,12,3,11,1,10,1,11,2,10,1,11,1,9,1,10,1,12,1,9,1,12,2,17,4,12,1,24,1,10,1,24,1,8,1,6,1,29,1,8,1,25,1,29,1,27,1,25,1,26,1,27,1,6,1,29,1,28,1,27,1,25,1,6,1,25,1,26,2,6,4,29,1,25,2,6,1,26,1,24,1,7,1,6,1,10,1,6,1,8,1,25,2,8,1,25,1,8,1,24,1,25,1,26,1,8,1,25,1,26,1,8,1,26,1,8,1,25,2,8,1,12,1,25,1,10,1,8,1,24,3,8,1,24,3,8,1,12,1,8,2,24,1,8,1,24,1,8,3,10,1,12,1,24,1,12,1,10,1,12,1,17,1,10,2,24,1,12,1,7,1,8,1,24,1,25,1,24,2,8,1,12,1,24,2,12,1,10,1,12,3,24,1,12,1,17,3,10,1,17,1,24,1,10,1,24,1,8,1,24,2,8,2,10,1,24,2,8,1,10,1,24,3,10,1,24,2,10,1,24,2,13,1,8,1,13,1,8,1,29,2,28,3,13,1,8,1,12,1,24,1,6,1,28,17,6,1,12,1,24,1,8,2,10,1,9,1,10,3,9,1,24,1,8,1,9,1,10,1,8,2,24,1,8,1,10,1,6,1,24,2,13,1,10,1,8,2,9,1,8,1,24,2,8,1,24,2,12,1,24,1,8,1,24,1,13,2,24,1,6,1,7,1,8,1,24,1,7,1,17,1,24,4,8,1,24,1,8,1,6,1,10,2,13,1,8,1,17,1,24,1,12,1,17,1,10,1,24,1,17,1,10,1,17,2,10,1,24,2,8,1,13,1,8,1,12,2,17,1,9,1,24,1,12,1,10,1,24,1,12,1,10,1,12,2,10,1,12,2,8,1,10,1,17,1,24,1,17,1,12,1,8,1,12,1,24,1,17,1,12,1,10,1,12,1,17,2,10,1,17,1,12,2,17,3,12,1,17,1,12,1,17,1,12,1,17,2,12,2,17,1,12,1,17,1,12,1,17,1,12,2,11,1,6,1,28,30,30,1,28,1,30,1,6,1,7,1,13,2,8,1,13,1,24,1,9,1,13,1,8,1,13,3,8,1,13,1,8,1,24,1,13,1,8,1,10,1,9,1,11,1,10,2,17,1,10,1,12,2,11,1,12,1,17,2,12,2,17,1,11,1,17,1,12,1,17,1,12,1,10,1,11,1,17,5,9,1,13,1,11,1,9,2,6,1,13,2,7,1,13,4,30,1,13,1,6,2,13,1,8,1,13,1,8,1,13,1,9,1,13,1,6,1,13,2,8,1,13,2,6,1,9,1,8,1,9,2,13,1,8,1,13,3,28,33,9,1,8,1,13,3,7,1,13,3,6,1,13,2,6,1,13,2,6,1,8,1,13,4,8,1,9,3,8,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,7,1,11,1,13,1,9,1,13,1,6,1,13,1,8,1,13,3,9,1,6,2,13,2,29,1,6,1,28,1,13,5,6,1,13,1,7,1,13,3,6,1,13,1,6,1,13,2,30,1,13,1,6,1,13,2,28,1,13,1,30,1,6,1,30,1,28,1,6,1,30,1,8,1,28,1,29,1,13,2,28,1,6,1,13,2,30,1,6,2,13,1,28,1,13,2,6,2,13,3,8,1,29,1,13,2,6,1,13,2,8,1,6,1,28,31,30,1,28,5,30,1,28,1,30,1,28,1,30,1,10,1,14,1,17,1,14,1,10,1,24,1,9,1,13,1,7,1,29,1,28,2,30,1,28,2,30,1,29,1,6,1,29,1,6,2,8,1,12,1,11,1,12,1,11,1,9,1,24,1,13,1,30,1,28,7,13,1,10,1,29,1,6,1,29,1,28,35,13,1,8,1,30,2,28,1,29,1,24,1,10,1,6,1,13,1,29,2,28,4,30,1,29,1,9,1,12,1,8,1,6,1,28,6,13,2,30,1,28,3,30,1,29,1,13,1,7,1,13,1,9,1,13,1,9,1,10,1,13,2,30,2,28,1,9,1,17,1,8,1,7,1,28,2,30,1,29,1,8,2,6,1,28,49,30,1,24,1,8,1,13,1,}, {28,24,6,2,28,1,30,1,28,12,6,1,8,1,13,2,9,1,24,1,8,1,9,1,8,1,7,1,6,1,28,2,30,1,28,1,6,1,10,1,12,1,13,1,28,5,6,1,8,1,15,1,24,1,9,1,8,1,29,1,30,1,28,7,30,1,6,1,13,1,9,1,6,1,28,45,13,1,7,1,6,1,8,1,13,1,24,1,6,1,30,2,28,1,7,1,6,1,12,1,9,1,8,1,30,1,28,1,30,1,29,1,6,1,29,1,7,1,28,2,30,1,28,4,30,1,28,1,6,2,13,1,15,2,28,5,30,1,8,1,12,1,13,3,8,1,30,1,6,1,8,1,9,2,8,2,6,1,9,1,14,1,12,1,6,1,28,1,30,2,13,1,8,1,30,2,28,37,6,1,13,1,8,1,28,5,29,1,24,1,12,1,9,1,8,2,13,1,8,2,13,1,6,1,29,2,6,2,7,1,6,1,28,4,6,1,30,1,6,3,9,1,10,1,17,4,7,1,28,15,6,1,30,1,6,1,28,2,29,1,6,2,28,1,6,1,28,1,6,1,28,2,30,1,29,1,28,1,6,1,13,2,11,1,13,1,10,1,9,3,13,1,9,1,16,2,9,2,11,3,8,1,16,1,10,1,9,1,16,1,9,2,11,1,9,2,11,2,9,2,11,1,9,1,11,1,9,1,10,1,8,1,9,1,8,1,9,2,8,1,11,1,8,1,10,1,9,2,11,1,9,1,17,1,11,1,16,1,9,2,11,2,16,1,9,1,11,1,10,1,11,1,9,1,16,1,13,2,11,1,9,2,16,1,10,1,9,1,16,1,9,2,8,1,9,3,13,1,8,1,9,2,8,1,11,1,8,1,9,1,11,1,17,1,9,3,16,1,11,1,16,1,11,1,13,1,11,1,9,1,16,2,17,1,16,1,17,1,16,1,9,1,16,1,17,1,11,1,16,1,17,1,16,1,11,1,17,1,11,1,16,4,17,1,13,1,16,2,6,1,9,1,30,1,8,2,7,1,8,2,9,1,10,1,9,5,8,1,11,1,9,1,17,1,9,1,29,2,30,1,29,1,30,1,13,1,29,3,13,2,8,1,13,1,8,1,13,1,9,2,8,4,9,1,13,1,9,1,13,1,8,2,9,1,10,1,8,1,16,1,11,1,13,1,8,1,9,1,11,1,9,1,8,1,10,1,12,1,9,1,11,1,9,1,16,1,9,2,16,1,11,1,16,2,11,1,16,1,9,1,11,1,9,2,11,2,9,6,13,4,8,1,9,1,13,1,8,1,9,1,11,1,8,1,9,1,13,3,8,1,9,1,8,1,16,1,13,1,9,3,11,1,9,3,11,1,9,1,16,1,8,1,16,1,9,1,11,1,10,1,11,1,8,1,9,1,8,3,16,1,11,2,9,1,8,1,11,1,9,1,11,2,9,1,10,1,9,2,10,1,11,1,9,1,10,1,9,1,10,1,9,2,11,1,8,1,9,1,8,1,16,2,9,3,13,1,8,1,6,1,13,1,29,1,6,1,28,1,29,1,30,1,28,24,8,1,17,14,16,2,17,1,11,2,17,2,12,2,11,1,12,1,8,1,17,1,9,1,13,1,8,1,13,1,9,1,13,2,6,3,8,1,13,1,6,1,29,1,7,2,30,1,6,1,29,1,30,1,29,1,28,2,30,1,6,3,29,1,13,1,29,3,28,1,30,1,28,33,30,1,28,1,13,1,8,2,13,2,6,1,24,1,8,2,13,4,10,1,13,1,8,1,9,1,8,1,9,1,17,1,10,1,9,1,13,1,9,1,12,1,13,1,10,1,8,3,9,1,13,4,24,2,6,1,7,1,8,1,7,1,8,1,7,1,13,2,6,1,7,1,24,1,13,1,8,1,13,2,8,1,24,1,9,1,8,2,9,1,13,1,12,1,9,1,8,1,13,1,9,1,8,1,11,2,9,3,8,1,10,1,8,1,9,2,17,1,11,1,8,1,16,1,11,1,17,1,11,1,16,1,17,2,11,1,9,1,13,1,6,1,30,2,28,19,30,1,28,12,30,1,28,1,13,1,6,1,29,1,28,1,7,1,6,2,29,1,28,1,7,1,6,1,30,1,29,1,6,1,7,1,13,1,28,1,7,1,8,1,30,1,28,30,30,1,6,1,13,1,7,2,13,1,8,3,7,1,13,1,9,1,13,1,8,1,9,2,8,1,13,1,11,1,10,1,8,2,9,1,8,1,13,2,7,1,13,1,6,1,7,2,13,1,7,1,6,1,7,1,6,1,7,1,28,1,17,14,15,1,8,2,6,1,8,1,12,1,17,1,14,2,24,1,9,1,24,1,12,1,25,1,24,1,10,1,12,1,17,26,16,3,9,2,11,1,16,4,11,3,16,2,11,1,9,1,16,1,9,1,16,1,11,2,9,1,13,1,9,1,11,1,9,1,11,2,9,6,13,1,9,6,11,2,16,1,9,1,11,1,9,1,11,3,9,1,11,1,16,1,9,1,11,6,16,5,11,1,17,7,16,1,6,1,13,1,9,1,13,1,9,2,13,1,17,1,11,1,13,2,30,2,6,4,30,6,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,6,1,30,1,28,1,30,2,6,1,30,1,6,3,13,2,9,3,29,1,6,4,28,1,6,1,30,1,28,2,30,1,6,1,28,1,30,1,28,1,30,5,6,3,28,1,6,1,30,1,28,1,30,1,6,1,30,3,29,1,6,1,30,3,6,2,30,1,29,1,6,1,30,1,28,1,6,2,30,2,6,3,30,5,6,1,30,3,28,1,6,2,28,1,6,1,30,2,28,1,30,1,28,1,6,1,28,1,6,1,30,4,6,1,30,2,6,1,29,2,6,3,13,1,6,3,30,1,6,1,30,1,6,2,30,1,13,1,6,1,13,2,30,1,7,1,30,1,6,2,30,2,6,2,30,3,6,2,30,1,6,1,30,1,6,5,13,1,6,2,28,1,6,1,30,1,6,3,29,1,6,1,29,1,6,2,30,3,6,1,30,1,28,1,6,2,30,1,6,2,30,1,6,3,30,1,28,1,30,3,6,1,30,1,28,1,30,1,6,2,30,1,6,1,30,1,29,1,28,1,30,1,28,1,6,1,29,1,30,1,6,2,30,1,6,2,30,5,28,1,6,2,30,1,6,1,30,3,7,1,30,1,6,2,30,3,6,1,28,1,6,1,30,2,6,3,30,1,6,1,30,2,6,1,30,1,13,1,6,3,13,1,6,1,7,1,6,3,30,1,6,1,30,1,6,2,29,1,30,1,6,1,28,1,6,1,13,1,6,4,29,1,6,2,7,1,6,1,30,1,6,1,13,1,6,8,30,1,13,1,29,1,6,1,13,1,6,6,30,1,6,3,30,2,29,1,6,1,30,2,28,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,7,1,6,1,30,1,6,1,13,4,30,3,28,2,6,1,30,2,6,1,30,1,28,2,30,1,28,1,30,4,28,2,30,3,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,4,28,7,30,1,7,2,30,1,28,3,9,1,13,4,8,2,13,1,8,1,7,1,29,1,6,1,30,1,6,1,30,1,13,1,29,1,30,1,6,1,9,2,12,1,10,1,16,1,10,1,11,1,12,2,16,1,17,2,11,1,16,1,17,1,16,2,17,1,11,1,12,1,16,1,17,1,9,2,12,1,9,1,10,1,9,2,12,1,10,1,12,2,17,2,12,1,9,2,12,1,9,1,10,1,9,2,10,1,12,2,11,1,10,1,12,1,17,3,12,1,17,3,12,1,17,1,11,2,12,3,11,2,17,1,9,1,12,1,9,1,11,1,10,1,12,1,10,1,11,1,9,4,10,2,11,1,9,1,11,1,9,3,8,1,9,1,13,1,10,2,13,1,11,1,9,3,13,1,9,1,8,1,9,1,8,1,10,1,24,1,9,4,17,1,8,1,24,1,10,1,11,1,10,1,24,2,9,4,12,1,24,1,9,1,8,1,10,1,8,1,9,1,11,1,9,1,11,2,17,1,10,1,12,1,24,1,9,2,10,1,9,1,10,2,11,2,12,1,11,1,12,1,17,1,12,1,17,3,12,1,24,2,8,1,25,1,29,1,6,1,25,2,28,1,25,1,29,1,30,1,6,1,25,2,26,1,28,1,29,2,26,1,30,1,29,1,8,1,28,2,25,1,7,1,8,2,26,1,24,1,25,1,7,1,25,1,7,1,6,1,25,1,8,1,25,3,26,1,8,2,25,1,29,1,24,1,25,1,8,1,29,1,12,1,25,1,6,1,24,1,25,1,6,1,8,2,24,2,8,1,24,1,8,2,10,1,24,1,10,1,24,1,8,1,10,1,8,1,10,1,8,1,13,1,12,1,24,2,17,1,8,1,10,1,24,6,25,2,8,1,24,1,12,2,10,1,24,1,7,1,12,1,10,1,17,1,12,1,10,1,12,1,17,1,12,1,17,1,10,1,17,1,24,1,12,3,24,2,8,3,24,2,7,1,13,1,24,2,10,1,17,1,13,1,24,1,8,1,24,5,13,1,8,1,7,1,28,4,13,1,8,1,7,1,8,1,6,1,30,1,28,16,8,3,10,1,13,1,24,4,10,1,8,1,12,1,24,5,8,1,24,3,10,1,13,2,24,2,13,1,8,2,24,1,8,2,24,1,13,1,8,2,10,1,8,1,7,2,13,1,24,1,8,2,24,1,7,1,12,1,8,1,12,1,24,1,12,1,6,1,24,1,10,1,7,2,24,2,8,1,17,2,10,1,12,1,24,1,12,1,17,1,10,1,12,1,17,1,12,1,24,1,13,1,6,1,8,2,12,1,8,1,12,1,24,1,12,1,10,1,24,1,10,1,17,1,10,1,24,1,10,1,8,1,24,1,10,1,13,1,10,1,12,1,8,1,24,1,10,1,24,1,10,1,17,1,10,1,12,1,17,1,12,1,17,1,9,1,17,2,12,1,17,1,24,1,12,1,17,2,12,1,17,1,12,1,17,3,10,1,17,4,12,1,11,1,12,2,8,1,28,32,30,1,6,1,13,3,8,1,13,1,8,2,13,2,9,1,13,8,10,1,9,2,11,1,12,2,11,2,12,1,11,1,17,1,10,1,11,1,17,1,12,1,9,1,10,1,11,1,17,2,12,1,17,1,11,1,17,4,11,2,17,1,9,1,10,1,13,1,8,1,13,3,6,2,13,1,6,1,7,1,13,2,30,1,13,2,7,1,8,1,13,1,8,1,9,1,8,1,13,1,9,1,13,2,30,1,13,1,30,1,9,2,11,1,9,1,13,1,9,1,6,1,13,2,28,32,6,1,13,3,7,1,6,1,13,1,6,1,13,1,9,1,13,8,9,2,13,7,8,1,9,2,8,1,13,2,9,2,8,1,13,2,6,1,9,1,8,2,13,3,9,2,6,2,7,1,6,1,9,1,30,1,13,3,10,1,8,2,13,3,6,1,13,3,8,2,6,1,9,1,7,1,13,3,29,1,13,1,30,1,7,1,6,1,28,1,13,1,8,1,7,1,13,2,30,2,28,1,30,2,13,1,30,1,13,4,6,2,7,1,30,1,7,1,8,1,29,1,8,1,13,3,8,1,13,1,6,1,13,1,30,1,28,1,30,1,28,32,30,1,28,2,30,1,28,4,8,1,14,1,17,2,15,1,10,1,8,1,6,1,7,3,28,2,30,1,28,1,30,2,29,2,6,1,9,1,13,1,8,1,10,1,11,2,9,2,13,1,6,1,28,3,30,1,28,2,30,1,9,1,24,1,13,1,7,1,29,1,28,34,6,1,8,2,6,1,30,1,28,1,30,1,9,1,12,1,8,1,7,1,29,1,30,1,28,1,30,1,28,3,6,1,8,1,12,1,24,1,8,1,28,6,24,1,8,1,13,1,28,3,6,2,13,2,8,2,24,1,9,1,17,1,8,1,6,1,28,1,30,1,6,1,8,1,17,1,10,1,6,1,28,3,13,1,9,1,8,1,6,1,28,49,7,1,24,1,17,1,30,1,}, {13,1,29,1,28,21,30,1,28,1,6,1,30,2,28,12,6,1,13,1,28,1,13,1,8,1,24,1,9,1,13,1,7,1,29,1,30,1,6,1,28,2,6,2,12,1,13,2,30,1,28,4,6,1,9,1,14,1,15,1,10,1,6,2,29,2,28,7,30,1,7,1,8,1,6,1,28,42,30,1,28,1,6,1,24,1,28,1,13,1,6,1,13,1,9,1,13,1,30,1,6,1,13,1,6,2,9,1,15,1,9,1,29,1,30,1,6,1,30,3,6,2,28,6,29,1,28,1,6,2,8,1,24,2,7,1,28,5,8,1,12,1,9,2,30,1,8,1,9,1,15,1,10,1,13,1,9,2,13,1,8,1,14,2,9,1,6,1,28,1,29,1,30,1,7,1,6,2,30,1,28,37,6,1,12,1,24,1,29,1,28,4,30,1,9,3,8,1,24,1,13,2,6,2,7,1,30,1,7,1,29,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,6,1,13,1,6,1,8,1,17,1,16,1,17,4,13,1,28,15,30,1,13,1,6,3,30,2,28,1,6,1,30,1,28,1,13,1,30,2,6,2,30,2,6,1,7,1,9,1,11,1,9,1,13,1,11,1,10,1,16,1,9,1,11,3,9,1,10,1,8,1,9,2,11,1,9,6,8,1,9,3,11,1,9,2,16,1,8,1,9,1,16,1,13,1,9,8,11,1,9,1,11,1,9,2,11,1,9,1,17,1,9,1,16,1,10,1,9,1,11,1,9,1,16,1,13,1,9,1,10,2,9,3,8,1,11,1,8,1,11,1,8,1,6,1,9,4,16,1,9,1,11,1,17,1,9,2,11,1,9,1,8,1,11,2,17,1,9,1,11,5,17,1,16,1,9,1,16,1,11,2,16,1,11,1,16,1,17,1,16,1,11,3,16,1,17,3,9,2,11,2,16,1,17,1,16,3,13,2,7,1,13,1,7,1,8,1,13,1,8,1,9,1,7,1,10,1,9,1,13,1,9,1,8,1,9,3,16,1,12,1,28,1,29,1,30,1,7,1,30,1,7,1,6,1,30,1,13,1,8,1,7,1,29,1,9,1,13,2,9,1,13,2,9,1,13,2,9,1,8,1,9,1,10,1,13,2,8,1,11,1,13,1,9,1,8,1,9,1,8,2,11,1,9,2,17,1,9,1,17,1,10,1,16,1,11,1,16,3,11,2,16,1,10,1,16,1,9,1,16,2,10,1,9,1,8,1,9,2,11,1,8,1,11,1,8,2,9,1,12,1,8,1,9,2,8,1,9,1,8,1,9,1,8,1,9,3,8,1,9,3,8,1,9,4,16,1,9,1,13,1,9,1,11,1,8,1,11,1,9,2,11,1,9,5,17,1,8,1,11,1,9,2,16,2,9,4,10,1,16,1,9,2,11,1,10,1,11,1,9,2,11,1,9,1,11,2,10,1,13,1,9,2,8,1,12,1,9,2,8,2,24,1,13,2,29,1,6,1,7,1,28,26,10,1,17,15,16,1,17,5,11,3,16,1,10,1,9,1,11,1,24,1,8,2,24,1,7,1,8,1,13,1,9,1,7,1,6,1,8,1,6,1,7,1,6,1,30,1,6,1,30,1,28,4,30,1,29,1,30,1,6,3,28,1,29,1,6,1,28,15,30,2,28,19,30,1,29,1,13,1,6,2,13,3,7,1,6,1,24,1,6,1,13,2,6,1,24,2,6,1,13,2,8,1,24,2,8,1,9,1,13,1,10,1,24,2,8,1,13,3,8,1,13,1,8,1,24,1,6,1,29,1,7,1,29,1,13,2,7,2,8,1,24,1,9,1,6,1,7,2,13,1,8,1,13,1,6,1,8,1,6,1,13,2,9,1,11,1,8,3,13,1,9,2,8,1,9,2,8,1,13,1,9,1,11,1,8,1,9,2,11,1,10,1,9,1,13,1,17,1,9,1,11,1,16,1,9,2,17,1,16,1,9,1,10,1,13,2,28,32,30,1,29,1,6,1,29,1,13,1,30,1,6,1,28,1,30,2,6,2,28,1,30,1,29,2,13,1,6,2,7,1,29,2,30,1,29,1,30,1,28,25,30,1,28,2,29,1,6,1,30,1,9,1,13,1,24,1,8,2,9,2,8,2,9,2,8,1,9,2,8,1,13,1,9,2,13,1,8,1,13,1,7,1,6,2,7,3,6,2,13,2,29,1,13,1,6,1,12,1,17,10,12,2,8,3,25,1,6,1,14,4,15,1,12,1,15,1,9,1,15,1,24,1,8,1,24,2,17,7,11,1,17,2,16,1,17,2,11,1,17,1,11,1,17,1,16,1,17,9,16,1,9,1,11,1,9,1,11,2,16,3,11,1,9,1,11,1,9,1,16,1,11,2,9,1,11,4,9,1,11,1,9,3,13,1,11,1,9,3,11,1,9,3,13,1,9,1,13,1,11,2,9,1,11,1,9,1,16,1,11,1,9,4,16,1,11,1,9,3,11,3,9,1,11,2,16,5,17,1,16,2,17,1,16,1,17,4,6,1,13,1,9,2,13,1,16,1,11,1,16,1,13,1,6,4,30,1,6,1,30,1,6,1,30,1,28,1,30,1,6,1,30,6,29,1,30,1,28,1,30,1,28,1,30,2,29,1,30,5,6,1,30,1,6,2,13,1,6,2,13,1,30,1,13,3,6,2,13,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,1,29,1,6,1,13,1,30,1,28,1,6,1,30,2,6,1,29,1,28,1,30,1,6,1,30,1,6,2,30,4,29,2,28,1,6,1,30,1,6,1,30,2,6,2,30,5,28,1,30,1,29,1,30,2,28,1,30,3,29,1,30,1,6,1,30,2,6,1,30,6,6,1,28,1,29,1,6,1,30,2,28,1,30,1,6,1,30,2,6,2,28,1,7,1,6,1,30,1,6,2,30,1,28,1,6,2,29,1,30,1,6,1,13,1,30,1,13,1,6,2,30,1,6,1,30,2,6,2,28,1,29,1,30,1,6,3,30,2,6,1,13,1,6,4,13,1,6,1,13,1,29,1,13,1,30,1,13,1,30,1,6,1,30,2,6,1,7,1,6,3,30,1,6,3,30,1,7,1,29,2,6,1,13,1,30,1,13,1,30,3,6,2,30,2,6,2,30,2,6,1,30,3,28,1,30,4,28,2,6,1,30,1,6,3,28,1,6,1,30,4,28,1,30,1,28,1,30,2,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,2,6,1,7,1,30,1,6,2,30,2,6,1,30,1,6,2,30,2,6,2,30,1,7,1,6,1,7,1,13,1,6,3,30,1,13,1,29,1,13,1,30,1,6,4,13,1,6,6,13,1,6,3,29,1,13,1,6,2,7,1,6,1,13,1,6,5,29,1,6,1,13,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,29,2,30,2,6,2,13,1,6,3,30,2,6,1,30,1,29,1,6,1,7,1,6,2,13,1,9,1,13,2,28,1,30,3,6,1,30,1,6,1,30,2,6,1,30,2,28,1,30,2,28,1,30,5,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,2,30,1,28,2,30,1,6,1,30,2,28,7,6,1,13,1,29,1,28,3,29,1,7,1,8,1,24,2,9,1,13,1,8,2,6,1,30,1,28,1,8,1,6,1,29,1,24,1,29,1,13,1,9,2,10,1,8,1,11,3,12,1,16,1,17,1,16,1,11,1,17,2,16,3,12,1,16,1,17,1,12,1,10,3,11,1,10,1,12,1,9,1,11,1,9,1,10,1,11,1,10,1,11,1,9,2,11,1,16,1,11,1,10,1,9,1,10,1,9,2,11,3,12,1,17,2,11,1,12,1,17,2,11,2,16,3,12,1,17,1,9,1,17,1,11,2,17,1,8,1,11,1,10,1,11,1,12,1,9,1,11,1,12,2,9,1,11,1,9,2,11,1,9,1,17,1,9,3,10,1,8,1,9,1,11,1,9,1,8,1,9,2,11,1,13,1,9,2,8,1,9,3,17,1,13,1,9,1,10,1,9,2,10,1,11,1,9,1,13,1,9,1,10,1,12,1,24,1,8,1,10,2,24,1,9,2,8,1,9,1,8,1,12,1,9,1,12,1,8,1,9,1,11,1,9,2,11,2,9,2,17,1,11,1,10,1,9,1,11,1,10,2,12,1,11,1,10,1,12,1,17,3,12,1,10,1,24,1,25,1,8,1,25,1,8,1,6,2,30,1,25,1,27,1,29,1,27,1,29,2,25,1,30,1,26,1,29,1,27,1,29,1,26,1,25,1,30,1,27,1,25,2,6,2,8,1,29,1,8,1,6,2,25,1,6,1,7,1,25,2,29,1,25,1,8,1,27,1,8,1,26,1,25,1,8,1,25,1,6,1,25,1,8,1,25,1,8,3,25,1,24,1,25,3,24,2,25,1,8,2,6,1,24,1,8,1,10,1,8,1,24,2,13,1,24,2,12,1,24,1,12,4,24,3,12,1,24,1,12,1,24,1,10,1,6,1,17,1,24,1,25,1,24,2,12,1,8,1,24,1,17,1,10,1,12,1,10,1,12,5,24,1,25,1,24,4,13,1,24,2,8,1,24,1,10,2,12,1,13,1,8,3,24,2,8,1,24,2,8,3,6,1,29,1,28,2,30,1,29,1,7,1,8,1,13,1,6,1,30,1,28,15,8,2,24,1,13,1,10,1,24,1,13,1,24,1,8,1,24,2,8,1,24,3,8,1,13,1,24,1,8,2,13,1,8,1,13,1,24,1,8,1,24,4,8,1,9,1,24,1,10,1,9,1,8,1,13,1,24,2,7,1,24,1,6,1,24,1,9,1,24,2,13,2,17,1,8,1,24,1,8,1,10,1,13,1,8,1,10,1,24,1,10,1,24,1,10,2,24,3,10,1,8,1,12,3,17,2,9,1,8,1,13,1,24,1,8,1,17,1,12,3,10,1,17,1,24,1,8,1,12,1,24,2,12,2,8,1,13,1,10,1,24,2,8,1,13,1,24,1,12,1,24,1,12,1,10,1,12,1,10,1,12,2,17,4,12,2,17,1,10,2,17,2,12,2,17,1,12,1,17,1,12,4,17,1,12,3,10,1,6,1,28,32,13,3,8,1,24,1,13,1,8,1,24,1,13,1,24,1,13,4,8,1,13,3,8,1,9,2,10,1,9,2,12,1,11,1,10,1,12,1,10,1,11,1,17,1,9,1,12,1,17,4,12,1,17,1,12,1,11,1,17,1,9,1,17,5,11,1,9,2,8,1,9,1,8,1,13,4,7,1,13,1,8,1,7,1,13,3,7,1,13,11,6,1,13,1,7,1,9,2,11,1,9,1,8,1,6,1,13,1,6,1,30,2,28,31,6,2,13,2,6,1,13,1,7,2,13,4,6,2,13,5,9,1,13,2,8,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,3,8,1,13,1,8,1,9,1,13,5,8,1,9,1,13,1,8,2,9,2,13,2,6,1,13,1,9,1,13,2,8,1,13,2,6,1,8,1,13,4,6,1,8,1,9,1,13,2,7,1,9,1,13,2,9,1,6,2,9,1,6,1,13,2,30,1,13,1,8,1,13,2,30,1,13,2,6,1,30,1,13,1,6,1,13,1,6,1,30,1,13,3,8,1,30,1,8,1,13,1,6,2,8,2,7,1,8,1,13,1,6,2,28,1,30,2,28,32,30,1,28,4,30,1,28,1,16,2,14,1,24,2,9,1,24,1,13,2,29,1,30,1,6,1,30,4,29,1,28,1,30,2,6,1,8,1,9,1,24,1,15,1,17,1,12,1,11,1,8,1,6,1,28,7,12,2,8,1,30,1,28,1,30,1,28,33,30,1,7,1,13,1,28,1,30,1,28,1,6,1,9,2,24,1,7,1,6,1,30,1,28,5,13,1,9,1,15,1,8,1,13,1,28,5,6,1,24,1,8,1,28,4,6,1,29,1,6,1,13,2,24,2,9,1,24,1,8,2,28,1,6,1,29,1,8,1,12,1,9,1,29,1,28,3,13,1,9,1,8,1,28,50,30,1,11,1,9,1,6,1,}, {6,1,28,23,6,1,28,1,6,1,28,14,13,1,7,1,6,1,9,3,8,1,13,1,6,2,28,3,30,1,6,1,24,1,8,2,6,1,28,4,13,1,14,1,12,1,17,1,24,1,13,1,6,1,30,1,6,1,28,6,29,1,6,1,9,1,24,1,29,1,28,43,30,1,13,1,30,1,6,3,13,1,10,1,13,1,30,1,6,1,13,1,6,1,13,1,9,1,16,1,8,1,28,1,29,1,30,1,6,2,13,1,28,1,29,1,30,1,28,8,7,1,13,1,10,1,9,1,29,1,28,4,30,1,24,1,15,1,8,1,24,1,29,1,8,1,24,1,8,1,9,1,24,1,10,1,8,1,13,1,24,2,14,2,6,1,29,1,28,1,29,1,28,1,7,1,6,1,30,1,28,37,7,1,8,2,29,1,28,4,6,1,24,1,10,1,15,1,8,1,9,1,13,2,7,1,13,1,6,1,29,1,30,1,6,3,28,2,30,2,28,1,30,1,6,1,13,1,6,1,13,1,9,2,17,1,16,1,17,1,16,1,9,1,28,14,29,1,13,1,6,3,28,1,30,1,6,1,30,2,28,1,30,1,6,1,28,1,30,1,28,1,6,1,29,1,28,1,6,1,13,1,9,1,8,1,13,2,16,1,11,2,9,2,16,1,9,2,11,3,16,1,11,2,16,1,9,2,13,1,9,1,11,1,9,1,16,1,9,1,13,1,9,1,11,1,9,2,10,1,11,1,9,8,8,1,9,2,16,1,9,1,11,1,17,1,10,1,11,2,16,1,17,1,9,1,11,1,9,9,11,1,9,2,11,2,16,1,17,1,11,2,13,2,11,2,8,1,10,1,9,2,16,1,13,2,9,1,13,1,10,1,17,1,9,1,13,1,11,1,17,1,11,1,9,1,11,2,16,1,17,1,10,1,11,3,16,1,17,1,16,1,11,2,16,1,11,5,16,1,11,2,10,1,13,1,10,1,9,1,30,1,13,1,30,1,6,1,7,1,13,2,8,2,9,1,13,1,9,1,10,1,8,1,9,2,10,1,8,1,13,1,28,1,30,3,28,1,6,2,7,1,8,1,13,1,8,2,9,1,13,1,8,1,13,2,9,1,13,1,9,2,13,1,8,1,6,1,13,2,9,1,11,1,10,1,11,1,9,1,16,1,8,1,9,3,13,1,16,2,17,1,12,1,11,2,9,1,11,2,17,1,16,1,17,1,16,1,9,1,11,1,16,1,11,1,16,1,11,1,9,1,10,1,12,1,10,1,9,1,8,1,10,2,13,1,8,1,11,1,8,1,9,1,11,1,13,1,8,1,9,1,13,1,8,1,9,2,8,1,9,9,10,1,11,1,9,3,11,1,9,1,11,2,16,1,9,2,11,2,10,1,9,1,11,1,9,2,11,1,10,1,11,2,9,4,13,1,11,3,9,2,16,1,9,4,16,1,9,2,8,1,9,1,13,1,9,2,6,1,10,1,24,1,8,1,13,2,8,1,30,1,6,1,28,26,9,1,17,20,16,1,11,2,16,1,17,1,9,1,12,1,8,1,10,1,8,1,9,1,8,2,7,1,6,1,30,1,13,4,6,1,13,1,6,1,29,3,30,3,28,3,6,1,28,1,30,2,29,1,28,20,30,1,28,16,6,1,7,1,30,1,13,1,24,1,8,1,13,1,9,1,8,1,24,1,13,1,7,1,13,1,24,1,6,1,13,1,9,1,24,1,10,1,24,2,10,1,8,1,13,1,17,1,13,1,9,1,8,2,13,3,8,1,6,1,13,1,7,2,8,1,6,1,8,1,6,1,7,1,29,1,8,2,28,1,8,1,6,1,7,1,8,2,6,2,8,1,7,1,13,1,10,1,8,1,24,1,9,1,8,1,10,1,13,1,12,1,13,1,11,1,8,1,9,1,10,1,9,2,8,1,9,6,8,1,9,1,8,1,17,1,10,1,11,1,9,1,16,1,11,1,16,2,17,2,11,1,16,1,8,1,6,1,28,16,30,1,28,13,7,1,6,1,13,1,30,1,6,1,29,1,7,1,6,2,28,1,6,1,30,1,6,1,30,1,29,1,8,1,13,1,6,1,7,1,13,1,29,1,6,2,28,29,30,3,7,1,29,1,8,2,13,1,9,2,8,1,9,2,8,1,9,1,8,1,9,1,8,1,9,1,8,1,13,2,9,1,7,1,13,1,7,1,13,1,30,1,7,1,6,2,7,1,30,1,7,1,6,1,13,1,6,1,7,1,17,8,12,1,24,1,13,1,8,1,9,1,13,1,24,1,6,1,8,1,14,6,10,1,14,1,12,2,8,1,24,1,12,1,9,1,17,12,11,1,10,1,8,1,9,1,11,1,9,1,12,1,17,8,11,3,16,1,11,2,16,1,11,1,16,1,9,1,16,1,11,3,9,1,16,1,11,1,9,1,11,1,9,8,11,1,9,2,13,1,9,1,13,2,9,1,11,1,9,3,11,1,9,1,11,2,9,1,11,1,9,1,11,1,9,2,11,2,9,2,11,1,9,1,16,1,11,5,16,7,17,6,30,1,9,2,13,1,9,1,16,2,9,1,30,2,29,1,6,1,30,4,13,1,6,1,29,1,30,2,6,1,28,1,6,1,28,1,6,1,30,6,28,1,30,5,28,1,30,4,6,2,13,1,6,4,13,1,6,3,30,2,6,1,30,1,7,1,28,1,30,2,28,1,30,2,6,1,30,3,6,1,30,1,6,1,30,1,6,1,29,2,6,1,29,1,30,1,6,1,29,1,30,2,29,1,30,1,6,1,30,1,6,1,30,2,6,2,30,1,29,1,30,1,29,1,28,1,29,1,6,1,30,3,6,1,28,1,30,5,28,1,30,2,6,1,28,2,30,2,28,3,30,1,28,1,30,6,6,1,30,2,6,1,30,1,6,1,30,1,6,1,29,1,30,1,6,2,30,1,28,1,6,1,30,1,6,2,28,1,30,2,6,1,13,2,28,1,6,3,30,1,29,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,30,3,6,2,30,3,13,2,6,1,30,1,6,1,30,1,6,3,29,1,30,1,13,1,30,1,6,3,30,1,6,1,30,2,6,1,29,1,13,1,30,1,13,1,29,1,6,1,30,10,28,1,13,1,30,1,28,1,30,2,29,1,30,5,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,4,6,2,30,1,6,1,30,2,29,1,6,3,7,1,6,1,7,1,30,2,6,1,30,1,6,1,30,3,29,1,30,2,6,2,30,1,6,1,7,1,6,4,7,1,6,1,13,1,29,1,6,7,13,1,7,1,30,1,6,3,30,1,6,4,30,1,13,1,28,1,13,1,7,1,6,3,13,1,6,1,7,1,6,1,13,1,29,1,7,1,6,1,13,1,30,1,13,2,6,3,30,1,6,2,7,1,30,2,6,3,30,2,6,1,13,1,30,1,29,1,6,3,30,2,6,2,13,1,29,1,6,1,13,2,8,1,13,1,30,3,6,1,30,1,13,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,2,6,1,28,1,30,3,28,1,29,1,30,3,6,1,30,3,28,2,30,1,28,1,30,3,28,9,7,1,30,1,28,3,8,1,13,1,8,3,13,1,6,1,8,1,30,1,28,2,13,1,24,1,13,2,8,1,30,1,9,1,10,1,11,1,9,2,11,2,12,1,9,1,17,1,16,1,11,1,17,2,16,1,17,1,16,1,17,1,11,2,9,3,10,1,17,1,11,1,12,1,10,1,9,1,8,1,9,1,11,1,10,1,11,2,9,1,11,1,24,1,10,1,8,1,10,1,11,1,17,1,11,2,12,1,9,1,16,1,12,1,11,2,16,1,12,1,16,1,11,3,17,3,11,2,17,1,12,1,17,1,10,2,11,1,10,2,11,2,12,2,10,2,8,1,9,1,11,2,8,1,9,1,13,1,9,2,10,1,9,4,10,1,11,2,9,1,10,1,11,1,9,1,8,1,9,7,10,1,9,1,10,1,9,3,11,1,10,1,12,1,10,1,9,3,24,1,9,3,24,1,10,1,24,2,17,1,10,2,8,1,12,1,11,1,10,1,17,1,9,1,11,1,10,1,11,2,9,1,17,1,9,1,11,2,12,3,17,3,12,1,24,2,7,1,25,2,6,1,24,1,29,1,6,3,25,1,29,1,6,1,30,1,27,1,26,2,28,1,29,1,25,1,28,1,27,2,25,1,26,1,8,1,29,1,27,1,25,1,6,1,25,1,30,1,7,1,8,1,25,1,7,1,25,1,27,1,25,3,24,2,26,2,6,1,8,2,25,4,24,1,8,1,24,1,8,1,25,1,8,1,24,1,10,1,25,1,24,1,25,1,24,2,8,1,24,1,17,1,24,1,10,1,8,1,13,1,10,1,24,1,12,1,10,2,24,1,12,1,24,1,12,1,24,1,12,1,24,4,8,1,6,1,8,2,24,1,25,1,12,1,24,1,10,1,24,2,17,2,12,5,24,1,10,1,8,1,24,2,25,1,13,1,8,1,24,1,8,1,7,1,13,2,8,5,24,1,13,1,24,2,8,1,24,1,13,2,24,1,6,2,28,4,7,1,30,2,28,17,24,1,8,1,24,1,8,2,24,4,8,1,12,1,10,1,8,2,24,1,8,1,24,2,10,1,8,1,24,2,10,1,8,1,24,2,8,1,10,1,24,1,8,1,10,1,8,1,7,1,8,1,24,2,7,1,8,1,24,1,8,1,9,1,24,1,13,1,8,4,10,1,24,1,8,1,13,1,24,5,12,1,8,1,10,1,8,1,12,2,10,1,24,2,17,1,9,1,17,3,10,1,24,1,8,1,9,1,13,1,8,1,24,2,17,1,24,2,10,1,12,1,17,1,13,1,24,1,17,1,13,1,8,1,24,1,8,1,9,1,10,1,12,1,24,1,12,1,24,2,17,1,12,1,9,1,17,1,10,1,12,1,17,3,12,1,9,1,10,1,17,2,12,1,17,1,12,1,17,2,12,1,17,4,12,1,17,1,11,2,10,1,11,1,10,1,28,31,30,2,13,3,10,1,13,1,8,3,13,1,9,1,13,4,7,1,13,2,8,1,24,2,8,1,9,1,10,1,11,1,9,1,12,2,10,1,17,1,12,1,11,1,10,1,17,2,9,1,12,1,17,1,11,1,17,9,11,1,17,1,10,1,9,3,13,1,7,1,13,2,7,1,13,3,6,1,7,1,13,2,6,1,8,1,13,2,9,1,13,1,9,1,13,1,9,1,13,1,7,1,29,1,13,1,7,1,13,1,11,1,9,2,13,4,28,1,30,1,28,32,13,1,6,1,8,1,6,1,13,2,9,1,7,1,8,1,13,1,7,1,13,4,6,1,13,4,9,1,13,1,8,1,13,3,8,1,13,2,8,1,13,4,9,1,11,1,13,1,10,1,13,1,8,1,9,1,13,1,7,1,6,1,13,1,8,1,13,2,9,2,29,1,13,2,9,2,8,1,7,1,9,1,8,2,13,1,9,1,13,1,9,2,13,1,6,1,13,2,8,1,13,1,9,1,13,4,8,1,13,1,9,1,13,1,8,1,13,1,29,1,6,1,7,2,13,1,30,1,6,2,13,2,6,1,13,2,8,1,13,2,28,1,30,1,13,1,6,1,13,5,9,1,13,1,8,1,13,1,7,1,28,25,30,1,28,12,30,1,28,1,30,1,6,1,16,1,17,1,16,1,15,1,12,1,8,1,24,1,13,1,8,1,13,1,6,1,29,1,6,1,29,1,28,1,30,1,28,1,30,1,6,1,13,2,6,1,24,1,14,1,17,1,11,1,12,1,11,1,24,1,28,7,30,1,9,3,8,1,30,1,28,34,30,1,13,1,8,1,28,1,30,1,28,1,6,1,8,1,15,1,24,1,13,1,6,1,28,1,30,1,29,1,28,1,29,1,30,2,24,2,9,1,8,1,28,5,30,1,12,1,13,1,29,1,28,3,30,1,29,1,8,1,13,1,8,1,24,2,8,1,9,1,24,1,13,1,30,2,6,1,9,1,10,1,9,1,13,1,28,3,6,1,9,1,13,1,30,1,28,49,13,1,12,1,6,1,30,1,}, {28,24,30,1,28,2,29,1,28,12,30,2,6,1,7,1,9,1,17,1,7,1,8,1,13,1,9,1,7,1,30,3,6,2,8,1,9,1,6,1,28,3,29,2,8,1,14,1,24,1,15,1,8,2,6,1,29,2,28,1,30,1,28,5,6,2,12,1,7,1,28,43,6,1,29,1,6,1,13,1,30,1,6,1,13,1,12,1,9,1,13,1,28,1,6,1,13,2,9,1,12,1,24,1,28,2,6,5,30,1,28,6,6,1,28,1,30,1,6,2,9,1,7,1,29,1,28,5,10,1,12,1,8,2,9,1,10,1,24,1,9,2,8,1,9,1,8,1,9,1,24,1,10,1,14,1,15,1,13,1,30,1,6,2,13,2,7,1,28,38,6,1,24,1,8,1,30,1,28,4,30,1,13,1,24,1,17,1,24,1,8,2,30,1,8,1,13,1,6,1,13,1,6,1,13,1,7,1,28,1,6,1,28,2,30,1,7,1,30,1,13,1,6,1,8,2,9,3,17,3,12,1,28,15,13,2,6,2,28,3,6,2,30,1,28,1,13,1,28,1,30,1,28,1,29,1,30,1,28,2,9,4,11,1,9,3,13,1,11,1,9,1,11,2,16,1,9,2,11,1,9,3,11,1,9,1,11,1,9,2,8,1,9,1,11,1,9,2,7,1,9,1,10,2,11,2,8,1,9,2,11,1,9,6,11,2,16,1,10,1,9,1,11,1,9,3,11,1,9,1,10,1,8,1,11,1,17,2,9,1,11,1,16,1,10,1,17,1,9,2,11,1,9,5,10,1,9,1,10,1,9,3,11,2,9,1,13,2,9,1,8,1,10,1,9,1,11,1,9,1,11,1,17,1,11,2,9,1,16,1,17,3,16,1,11,2,16,2,11,1,16,2,11,1,9,1,11,1,16,1,11,1,16,2,17,1,11,1,16,1,11,2,13,1,30,1,6,2,7,1,13,2,8,1,13,1,8,2,7,1,13,2,9,2,11,1,9,1,11,1,8,1,13,1,6,1,29,1,7,1,6,1,7,1,6,3,8,1,13,1,8,1,29,1,8,2,13,1,9,1,8,1,9,1,13,2,10,1,8,1,13,1,8,2,9,1,13,1,9,1,8,1,9,1,16,1,8,1,9,1,13,2,8,1,13,1,17,1,11,3,9,1,10,1,11,1,10,1,16,1,17,1,16,1,9,1,16,1,11,2,9,1,11,3,9,1,11,2,8,1,9,1,16,1,9,1,8,1,9,2,8,1,9,2,13,2,10,1,13,1,10,1,8,2,9,4,11,1,8,1,9,2,13,1,9,1,11,1,10,1,9,2,11,1,9,3,11,1,9,1,11,1,9,1,10,1,9,4,13,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,11,1,10,1,11,1,8,1,11,3,10,1,11,4,9,4,11,1,13,1,6,1,16,1,9,1,13,1,9,1,13,1,8,1,29,1,6,1,7,1,28,28,10,1,17,17,16,1,17,2,11,1,17,1,12,1,16,1,11,3,8,1,11,1,9,2,13,1,24,1,8,1,12,1,13,1,6,1,13,1,7,1,13,1,6,1,7,1,6,1,28,1,29,1,28,3,30,1,28,3,30,3,29,1,28,21,30,1,28,11,30,1,28,1,30,1,28,1,30,2,8,1,30,1,8,1,13,1,8,1,13,1,24,1,7,1,8,3,13,2,8,1,13,1,9,1,13,1,24,1,8,1,13,1,8,1,9,1,8,1,9,1,8,1,24,1,13,1,24,1,9,1,8,2,13,1,6,1,9,1,13,1,6,1,13,1,29,1,6,3,8,1,29,1,13,2,6,1,13,3,6,1,13,1,6,1,8,1,6,1,8,2,13,1,8,1,13,2,8,1,13,1,8,3,13,1,8,1,24,1,8,2,9,1,13,1,8,1,9,1,13,1,9,2,8,1,9,3,10,1,9,4,17,1,10,1,11,2,16,1,11,2,9,2,30,1,28,14,30,1,28,11,13,1,29,1,13,1,29,1,7,2,13,2,6,1,8,1,6,1,30,1,6,1,30,1,6,1,7,1,6,1,13,1,29,2,13,1,6,2,30,1,6,1,30,1,6,1,30,1,28,28,30,2,6,2,24,1,8,2,13,1,9,1,8,1,9,9,8,1,9,2,7,2,13,1,30,1,7,1,13,1,6,2,29,1,6,2,7,2,30,1,17,9,12,1,17,1,9,1,10,1,24,1,9,1,15,1,14,1,17,2,14,1,15,1,14,1,15,1,14,2,15,1,24,1,8,1,24,1,9,2,17,10,16,1,17,2,9,1,13,1,9,1,11,1,9,1,17,1,11,1,16,1,17,5,16,1,11,2,16,1,9,1,16,1,9,1,16,1,11,6,16,1,9,1,11,1,16,1,11,2,16,1,11,1,9,3,11,1,13,1,11,1,13,1,9,2,11,2,13,1,9,2,13,1,9,1,11,1,9,2,11,1,16,1,9,1,16,1,11,2,16,1,11,1,9,1,11,1,9,2,16,1,9,1,16,1,11,4,16,2,11,1,16,3,17,1,16,3,17,5,6,1,13,2,6,1,16,2,9,1,13,1,6,1,28,1,30,1,6,1,29,1,30,6,28,1,30,4,28,1,30,2,6,1,30,1,28,1,30,3,6,1,28,1,30,10,6,2,29,1,6,1,13,1,6,1,29,1,6,2,13,1,30,1,28,1,29,1,30,1,28,1,30,5,28,2,6,1,29,1,6,5,30,1,6,1,28,1,6,1,30,1,6,1,30,2,29,2,6,1,30,3,28,1,13,1,30,1,6,2,30,1,6,4,30,3,6,1,30,1,6,1,30,1,29,2,30,2,6,1,28,1,6,1,30,3,28,1,29,2,30,2,28,1,30,1,6,1,29,1,30,2,28,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,28,1,30,1,6,2,13,2,6,2,29,1,30,1,28,1,13,1,7,1,6,1,30,3,6,2,30,5,29,1,6,3,30,1,6,1,30,1,6,2,29,1,6,2,30,1,6,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,1,6,3,30,1,6,3,29,1,28,1,6,2,13,2,6,2,28,1,30,5,29,1,28,1,30,4,28,1,30,8,29,1,6,1,30,1,6,1,29,1,30,1,28,1,30,1,28,2,30,2,6,1,28,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,6,2,30,2,29,1,30,1,6,1,30,1,6,1,30,1,6,3,29,1,6,1,13,1,6,1,7,1,6,1,30,2,13,1,6,1,30,1,13,1,6,4,30,1,6,4,30,1,6,4,13,1,6,3,13,1,6,2,13,1,6,13,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,4,13,1,6,1,13,1,6,2,29,1,6,6,30,1,6,2,30,1,6,1,13,1,6,3,9,1,13,1,7,1,30,2,28,1,30,2,28,1,30,2,28,1,6,1,30,2,28,1,30,2,28,1,6,1,30,1,28,2,30,6,6,1,30,4,28,1,30,1,28,1,30,3,28,11,30,2,28,2,6,1,10,1,24,1,8,1,13,3,28,1,29,1,28,1,29,1,9,3,6,2,10,1,12,1,11,1,10,1,9,1,11,1,9,1,11,2,17,1,16,1,17,3,11,3,17,1,12,1,9,1,10,1,9,1,11,2,17,1,9,1,11,1,10,1,9,2,24,1,9,2,10,1,11,1,9,3,11,1,9,2,11,2,10,1,12,1,17,1,11,1,17,1,11,4,17,1,10,1,17,1,12,2,10,1,11,1,12,1,9,1,11,1,17,1,9,1,11,1,9,1,17,1,12,1,10,1,12,1,11,1,10,1,11,1,9,1,17,1,9,1,11,1,9,1,11,4,9,3,11,2,8,1,12,1,9,1,11,1,8,1,9,1,11,1,10,1,9,1,10,1,11,1,9,1,8,1,10,1,12,1,9,1,11,1,8,1,10,1,9,1,11,1,12,1,9,1,11,1,8,1,24,1,8,1,9,1,10,1,8,1,9,1,11,1,8,1,9,1,10,2,9,1,12,3,9,1,17,1,10,1,11,1,10,1,17,1,12,1,10,1,12,1,11,1,12,1,10,1,12,2,17,1,11,2,12,1,17,6,24,1,10,1,25,1,6,2,8,1,7,1,28,2,7,1,6,1,30,1,29,1,6,1,25,1,29,4,30,1,27,1,29,1,25,2,27,1,25,1,29,1,25,1,26,1,6,1,25,1,8,3,25,1,27,1,8,2,6,1,8,1,26,1,25,2,27,1,8,1,25,1,8,1,25,1,24,1,25,1,24,1,25,1,26,1,25,1,8,1,25,1,8,2,25,1,24,1,25,1,24,3,8,2,24,1,10,1,8,1,24,1,10,1,24,1,8,1,24,1,10,3,24,1,10,1,17,2,12,1,24,2,12,1,8,1,24,2,7,1,25,1,17,1,12,1,8,3,12,1,8,1,12,2,17,1,12,2,17,2,12,1,24,1,12,2,25,1,17,1,24,3,7,1,12,1,8,1,13,1,8,1,10,1,8,1,7,1,8,2,24,1,8,2,24,1,8,1,7,2,24,1,6,1,24,1,6,1,28,5,30,1,28,3,30,1,28,14,30,1,24,1,13,1,8,1,24,1,10,1,24,1,8,1,10,1,24,2,8,1,24,1,8,1,24,1,8,1,10,1,8,1,10,1,24,1,8,1,6,1,24,4,10,1,24,2,13,1,24,1,10,1,24,4,8,1,24,1,12,1,13,1,8,1,10,1,8,1,12,1,24,2,8,2,12,1,8,1,24,1,8,1,24,2,13,1,8,1,13,1,8,3,10,1,9,1,10,2,12,1,17,1,12,2,10,1,9,1,17,1,24,1,9,1,29,1,9,1,13,1,8,1,24,1,9,1,12,1,9,1,17,1,8,1,12,2,10,1,24,1,8,2,24,1,8,1,24,1,8,1,24,1,8,1,24,1,17,1,12,1,10,2,12,2,8,1,24,1,12,1,10,1,12,2,17,1,12,4,17,1,10,1,17,8,11,1,12,3,10,1,12,2,28,6,6,2,28,22,13,1,6,1,30,1,8,3,9,1,8,2,9,3,8,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,2,10,1,9,2,12,1,8,1,11,1,9,1,17,1,9,1,11,1,10,1,12,3,17,1,12,2,9,1,17,1,12,1,11,1,17,1,11,1,17,5,9,1,11,2,8,1,9,1,13,1,6,1,8,1,13,1,6,1,13,2,6,1,13,3,30,1,13,3,6,1,13,5,8,1,13,5,6,1,11,2,16,1,9,1,13,2,30,2,13,1,6,2,28,31,9,1,13,2,9,1,13,2,6,1,13,1,9,1,8,1,13,5,8,1,13,4,30,1,8,1,13,1,6,2,7,1,6,1,13,1,8,1,13,1,6,1,13,3,8,1,9,1,8,1,9,1,8,1,6,1,9,1,13,2,9,1,13,1,8,1,13,3,30,1,13,3,9,1,13,2,9,1,13,1,9,1,13,1,8,1,13,4,9,1,6,1,8,1,13,2,8,3,13,1,9,1,8,1,6,1,9,1,28,1,13,1,30,1,13,1,30,1,6,2,13,2,8,1,6,1,13,2,8,1,13,1,6,2,28,1,6,2,13,4,6,1,13,2,30,1,9,1,13,1,30,1,13,1,30,1,6,1,30,1,28,28,29,1,28,1,29,1,28,3,30,2,28,3,6,1,16,1,14,1,16,1,17,2,24,1,10,1,6,1,8,1,13,1,29,1,6,1,30,2,29,1,30,1,28,1,30,1,7,1,13,1,7,1,13,1,8,1,15,1,12,1,16,1,17,1,12,1,9,1,28,4,30,1,28,3,8,1,12,1,8,2,6,1,28,35,8,1,6,1,30,1,28,1,30,1,6,1,8,1,24,1,9,1,24,2,28,1,29,1,28,1,29,1,30,2,6,1,24,2,8,2,28,5,30,1,9,1,24,1,29,1,28,3,30,2,6,1,8,1,6,1,15,1,10,1,9,3,13,1,6,1,30,1,28,1,9,1,17,1,24,1,29,1,28,3,30,1,10,1,7,1,28,50,8,1,9,2,28,1,}, {28,40,7,1,13,1,17,1,13,1,9,2,8,3,6,1,30,1,6,1,28,2,8,1,13,1,24,1,17,1,7,1,13,2,7,1,9,1,8,1,6,1,8,1,15,1,24,2,6,1,30,1,29,1,28,8,6,1,8,1,12,1,13,1,28,43,6,1,28,1,13,1,30,2,28,1,13,1,17,1,7,1,30,1,7,3,13,1,17,2,13,1,7,1,30,1,29,1,30,1,28,1,29,1,6,1,30,1,28,7,30,1,6,1,29,1,7,1,24,2,6,1,28,5,6,1,10,1,9,1,13,1,8,1,9,2,8,2,10,1,8,2,13,1,8,1,15,3,13,1,6,1,28,1,30,1,13,2,6,1,30,1,28,36,6,2,8,1,24,1,7,1,28,4,29,1,24,1,17,1,15,1,24,1,13,1,8,2,13,1,7,1,6,1,28,1,13,2,29,2,6,1,29,1,30,2,6,1,30,1,13,1,7,1,13,1,7,1,24,1,12,1,9,1,17,2,16,1,9,1,28,15,30,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,28,1,30,4,6,1,13,1,28,2,29,1,13,1,9,1,13,1,9,1,8,1,9,1,11,1,10,1,11,2,9,3,10,1,11,1,9,1,16,1,9,1,11,1,9,1,11,1,9,1,11,2,9,1,16,1,9,1,11,2,9,1,13,1,10,1,8,1,11,2,9,5,16,1,9,1,11,1,9,3,11,4,9,2,16,1,8,1,9,3,11,2,16,2,9,1,11,1,17,1,9,2,11,1,9,3,11,1,9,2,11,1,9,1,8,1,11,1,9,1,13,1,9,5,13,2,8,1,9,3,13,1,9,1,11,1,9,2,17,1,11,1,16,1,9,1,17,1,16,1,17,1,9,1,11,1,16,3,11,1,16,1,9,1,16,1,9,1,16,2,11,1,17,1,11,3,9,1,11,1,8,1,13,1,28,1,29,1,13,1,6,2,8,1,13,1,8,1,13,1,9,2,8,1,6,1,13,1,9,1,10,1,9,1,11,1,29,2,30,1,6,1,30,1,6,2,7,1,13,1,6,1,8,1,13,2,9,1,8,1,9,1,13,3,8,3,9,1,8,1,9,2,13,2,10,1,9,1,11,1,13,1,8,1,9,3,13,1,9,1,17,1,12,1,11,2,9,2,16,4,11,3,16,2,11,3,9,3,10,1,9,1,11,1,10,1,9,1,10,1,9,1,8,2,9,3,16,1,8,1,9,3,8,2,9,4,10,1,11,1,13,1,10,1,11,1,9,2,11,1,9,2,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,9,1,16,1,9,2,11,1,9,1,11,1,9,4,16,1,9,1,10,1,11,1,9,1,10,1,11,3,9,1,10,1,11,1,10,1,9,1,11,1,9,1,13,2,12,1,10,2,9,1,30,1,24,2,6,1,7,1,30,1,13,1,29,1,28,25,9,1,17,15,16,1,17,1,16,1,17,4,16,1,17,2,11,1,17,1,9,1,11,1,8,1,17,1,8,2,9,1,8,1,13,1,6,1,13,2,7,1,6,1,13,1,6,1,30,1,28,2,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,6,30,1,28,11,30,1,28,4,30,1,28,16,30,1,7,1,29,1,8,1,6,1,13,3,9,1,8,1,13,2,8,2,13,1,8,1,10,1,13,2,8,1,24,1,8,1,24,1,7,1,13,1,8,2,13,1,8,2,13,5,24,1,13,1,29,1,13,3,6,1,7,1,6,1,13,1,6,1,13,2,7,1,13,1,6,2,13,1,29,1,6,1,30,1,6,1,13,1,7,1,13,1,24,1,7,1,8,1,7,1,13,1,8,2,9,1,7,1,9,1,29,1,13,1,9,1,16,1,8,1,13,1,9,2,8,1,13,1,9,3,13,1,9,3,8,2,9,1,11,1,17,1,11,1,17,1,16,2,9,1,8,1,13,1,30,1,28,13,30,1,28,8,30,1,6,1,7,1,8,1,6,1,7,2,13,1,7,1,6,1,7,1,13,1,29,1,6,3,29,1,30,1,6,4,7,1,6,1,29,1,6,2,7,1,6,1,28,31,29,1,28,1,24,1,6,1,13,1,9,2,8,3,13,1,8,1,13,1,10,1,9,1,8,1,13,4,8,1,13,1,29,1,7,1,6,2,7,1,13,1,6,1,13,1,29,1,7,1,6,1,8,1,17,19,14,1,15,2,14,3,12,1,9,1,12,3,10,2,17,5,16,1,17,3,16,1,17,3,11,1,16,2,8,1,11,1,17,1,11,1,16,2,17,2,16,2,9,1,11,2,10,1,16,3,11,4,9,2,11,4,16,2,11,1,9,1,16,1,9,2,11,1,16,1,13,3,9,1,16,1,13,1,9,5,16,1,11,1,9,2,16,1,9,1,11,1,9,4,11,1,9,2,16,1,9,1,11,1,16,1,11,1,9,1,16,2,11,2,16,6,17,7,30,1,13,3,16,1,13,1,9,1,6,2,7,1,6,1,30,1,29,1,30,1,6,1,30,6,28,1,30,2,6,1,30,3,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,28,1,30,4,6,3,13,2,6,1,13,1,30,1,6,2,30,1,28,2,30,2,29,2,30,1,28,2,30,6,6,2,30,2,6,1,30,1,6,2,30,1,29,1,30,1,6,1,29,1,6,1,30,1,28,1,6,1,29,1,6,1,30,3,6,2,29,1,6,1,30,1,28,1,6,1,28,1,6,2,29,1,6,1,30,1,6,2,30,1,6,1,28,1,30,6,29,1,30,2,6,1,28,1,30,1,6,1,30,3,6,2,30,2,28,1,7,1,30,1,6,3,30,3,13,2,30,2,29,1,6,1,13,2,6,1,30,1,6,1,28,1,13,1,6,1,30,2,6,2,29,1,6,1,30,1,6,3,30,2,6,1,7,1,30,1,29,1,6,1,29,1,30,1,6,1,13,1,29,1,6,4,30,1,29,1,6,2,30,1,6,1,30,2,6,3,29,2,6,3,30,1,6,5,30,2,6,1,30,3,29,1,28,1,30,2,28,1,6,1,28,1,30,2,28,1,30,3,6,1,30,2,6,1,30,2,28,3,30,1,28,1,30,4,28,2,6,1,30,1,6,2,30,3,29,2,30,3,6,1,30,3,29,1,30,1,6,1,30,1,6,1,28,1,7,1,30,2,6,3,29,1,7,1,6,4,7,1,13,1,30,2,7,1,30,1,29,1,6,1,7,1,30,1,6,1,29,1,6,1,30,1,6,2,30,2,6,1,30,1,6,2,13,3,6,3,13,1,6,2,29,1,13,1,6,1,7,1,6,1,30,1,6,6,30,1,6,1,30,1,13,1,6,4,7,1,6,4,30,1,6,1,30,1,6,2,29,1,6,1,7,1,6,1,13,2,6,2,13,1,9,1,13,1,6,1,28,3,6,1,30,2,29,1,6,2,30,7,6,1,28,2,30,1,28,1,30,3,28,1,6,1,28,1,30,5,28,3,30,1,28,12,29,1,7,1,28,2,29,1,8,1,24,3,13,1,28,3,30,1,6,1,13,1,12,1,8,1,30,1,24,1,17,1,13,1,9,2,11,2,16,1,17,2,16,2,17,1,16,1,10,1,11,2,17,1,12,1,9,1,11,1,9,1,11,1,10,1,9,2,16,1,10,1,12,1,9,2,10,1,11,1,10,1,24,1,9,3,12,1,11,1,10,1,9,1,12,1,11,2,12,1,16,1,12,1,8,1,11,1,10,1,12,1,11,1,16,1,17,1,16,1,17,1,16,3,11,1,12,1,11,1,10,1,9,2,17,1,9,1,11,3,17,1,11,1,12,1,11,1,9,2,17,1,9,1,8,1,12,1,10,1,9,2,10,1,9,4,11,1,17,1,10,1,13,2,8,1,11,1,10,1,13,1,9,1,8,1,13,1,9,1,13,1,9,4,11,3,10,1,9,3,11,1,9,4,12,2,17,1,9,1,10,1,11,1,10,2,11,1,17,1,10,1,9,1,12,2,17,1,9,1,11,1,17,1,12,3,11,2,12,1,17,1,10,1,9,1,12,1,17,3,12,1,9,1,13,1,7,1,8,1,6,2,30,1,29,1,28,3,29,2,30,1,27,1,30,1,29,2,26,1,29,1,27,2,29,1,27,1,25,1,6,2,30,1,25,1,26,1,8,2,25,1,26,1,25,1,8,1,25,2,24,1,6,1,8,1,25,1,8,1,6,1,25,2,6,1,25,3,8,1,25,1,29,1,8,1,25,2,24,1,8,1,24,4,8,1,12,2,24,1,10,1,8,1,10,2,24,1,12,1,8,2,24,1,7,1,12,5,10,1,8,1,24,1,10,1,13,1,10,1,12,1,24,1,8,2,24,1,8,1,12,1,24,1,8,1,24,1,17,1,24,1,10,1,24,1,17,1,12,2,17,1,12,2,24,1,10,2,8,1,24,1,8,1,13,1,7,1,8,1,24,1,8,1,24,1,8,1,13,2,24,1,7,1,13,1,8,1,7,1,6,1,24,1,8,1,13,1,7,1,8,1,7,1,6,1,28,4,30,1,28,18,13,1,24,1,6,1,8,1,12,1,24,2,8,3,12,1,10,1,24,3,8,1,25,1,12,1,8,1,25,1,24,1,8,1,24,1,10,1,8,2,17,1,24,2,8,1,24,1,8,1,10,1,8,1,24,2,12,1,8,1,24,4,8,2,24,1,8,2,24,1,8,1,24,1,10,1,7,1,8,1,24,2,7,1,13,1,7,1,24,1,12,1,13,1,17,1,10,2,17,2,12,2,17,2,10,1,24,2,7,1,8,1,24,1,9,1,12,1,10,2,12,2,17,1,10,1,24,1,10,1,8,1,24,5,6,1,24,1,8,1,13,1,24,3,12,4,10,2,12,1,17,1,12,1,17,3,10,1,12,1,17,3,12,1,17,1,12,1,17,2,11,1,17,4,12,3,9,1,28,6,29,1,13,1,28,24,30,1,13,1,9,1,13,1,9,1,8,1,9,2,8,2,9,1,13,2,8,2,9,1,13,2,8,1,13,2,8,1,9,1,7,1,10,1,8,1,13,1,10,1,9,1,11,1,9,1,12,1,9,1,12,1,17,1,12,1,11,1,9,1,11,1,12,1,17,2,11,1,12,1,17,3,11,1,9,1,11,1,17,1,13,1,8,1,9,3,13,3,6,1,13,1,7,1,13,1,9,1,7,1,6,1,8,1,9,1,13,2,10,1,8,1,9,1,13,2,6,1,13,1,6,1,8,1,6,2,9,1,16,1,9,1,8,1,30,1,6,1,13,1,30,1,28,33,6,1,9,1,6,1,8,1,13,4,9,2,13,8,9,1,13,2,11,1,13,1,6,1,7,2,13,5,8,1,13,1,6,1,8,1,13,1,9,1,13,1,10,1,13,2,9,7,13,1,9,1,8,1,13,4,8,1,9,2,13,1,9,1,11,1,13,1,9,2,10,1,9,1,13,2,9,1,13,1,9,1,13,2,9,4,8,1,13,1,6,1,7,1,29,1,6,1,13,4,30,1,13,1,9,1,6,1,13,1,6,1,8,2,13,3,6,1,7,1,6,3,13,3,6,1,7,1,13,3,29,1,28,2,13,1,28,32,30,1,28,1,29,1,28,3,29,1,14,1,17,3,10,1,24,2,13,1,8,1,13,1,6,1,29,1,7,1,29,1,28,1,30,1,29,3,6,2,24,1,13,1,15,1,9,1,17,1,16,1,17,1,8,1,28,5,30,1,28,2,24,2,13,1,6,1,30,2,28,34,8,2,30,1,28,1,30,1,29,1,10,1,8,1,24,1,6,2,30,1,28,2,29,1,30,2,13,1,24,1,9,1,8,1,6,1,28,5,6,1,13,1,9,1,30,1,28,5,6,1,13,1,9,1,10,1,15,1,24,1,9,1,24,1,13,1,6,1,28,1,6,1,24,1,9,1,24,1,6,1,28,3,6,1,10,1,29,2,28,49,8,1,12,1,13,1,6,1,}, {28,23,30,1,28,3,30,1,28,2,30,1,28,8,30,1,9,3,10,2,9,1,10,1,9,1,6,1,13,1,8,1,30,1,7,1,30,1,29,1,8,1,10,1,17,1,9,1,8,1,13,1,7,1,6,1,29,2,8,1,24,1,10,1,13,1,29,1,6,1,29,1,28,8,6,1,13,1,17,1,7,1,28,42,30,2,7,1,6,1,29,1,6,1,7,1,13,1,8,1,24,1,6,3,7,2,9,1,17,1,8,1,29,1,28,1,6,1,30,2,29,1,30,1,28,2,30,1,28,7,7,1,13,1,24,2,6,1,28,5,6,1,9,1,10,1,24,1,9,1,24,1,13,1,24,1,8,2,13,1,24,1,13,1,8,1,24,1,14,2,6,4,13,1,8,1,29,1,28,35,30,1,28,1,30,1,6,1,8,2,29,1,28,5,24,1,8,1,9,1,24,2,7,1,13,1,7,1,13,1,8,1,30,1,8,1,29,1,6,1,7,1,6,2,30,2,6,1,13,1,7,1,6,1,7,1,13,1,24,1,17,1,12,1,17,3,9,1,30,1,28,14,6,1,7,1,28,1,6,2,30,2,29,1,30,3,28,3,6,1,30,1,28,1,30,2,13,1,10,1,7,1,10,1,8,1,11,2,9,2,11,2,9,2,10,1,9,1,11,1,10,1,8,1,9,1,11,1,9,4,11,1,9,1,17,1,9,3,10,2,9,1,17,1,8,1,11,1,13,2,8,1,9,1,8,1,11,1,8,1,9,1,16,1,9,1,8,1,16,1,11,1,9,1,16,1,9,2,17,1,9,1,11,1,9,1,16,1,9,1,11,1,8,1,9,2,11,1,8,1,10,2,9,1,10,1,11,1,9,2,8,1,9,2,17,1,12,1,9,3,8,1,9,2,8,1,13,1,8,2,11,1,8,1,9,1,11,1,9,1,17,1,10,1,9,3,16,1,17,1,16,3,11,2,17,1,11,1,17,1,16,1,11,1,9,1,16,1,9,1,16,1,9,1,13,1,16,1,11,1,9,2,16,1,11,1,8,1,6,1,13,1,6,1,13,4,9,1,6,1,9,3,11,1,8,1,11,2,10,1,8,1,10,1,7,1,6,2,30,1,7,1,6,1,13,1,6,2,13,1,8,1,13,1,6,1,12,1,13,1,9,2,8,4,9,1,8,1,13,3,9,1,11,1,10,1,9,2,8,1,10,1,9,2,8,1,9,1,16,1,17,1,11,2,16,2,11,2,16,1,11,1,16,2,11,3,16,1,11,1,9,3,10,1,9,2,12,1,8,1,9,2,8,1,9,1,13,1,8,2,9,3,10,1,9,3,11,1,9,4,11,1,9,2,11,2,9,3,11,1,9,6,13,1,9,2,11,1,16,1,8,1,9,1,16,1,9,1,11,2,9,2,11,1,16,1,11,2,9,3,11,1,12,1,11,1,9,1,11,2,16,1,11,1,9,1,11,1,9,2,10,1,13,2,11,1,9,1,24,1,10,1,13,1,9,1,13,2,7,1,30,1,29,1,28,26,12,1,17,16,16,1,17,5,12,2,11,3,8,1,16,1,10,1,8,1,9,2,8,2,13,2,6,1,13,1,6,1,13,1,28,2,29,1,30,1,6,1,28,1,29,1,28,3,29,1,28,1,30,1,6,1,28,21,29,1,28,13,30,1,29,1,30,1,29,1,7,1,8,1,9,1,13,1,8,2,13,1,9,1,8,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,8,1,13,1,8,1,13,2,24,1,9,1,7,1,8,1,13,1,8,1,13,1,8,1,6,1,7,1,13,2,8,1,13,1,7,1,6,1,8,2,30,1,7,2,13,1,6,1,7,1,6,1,7,1,6,1,13,1,6,1,30,1,6,1,29,1,6,1,7,1,6,1,13,1,7,1,6,1,7,1,6,1,13,1,24,1,6,1,8,1,7,1,8,1,9,1,8,2,13,1,9,2,13,3,9,1,8,1,13,1,8,1,13,2,9,1,13,1,9,1,8,1,9,3,16,2,17,1,16,2,11,2,9,1,13,1,6,1,28,16,30,1,28,1,30,1,29,1,6,1,29,1,13,2,7,1,8,1,13,3,7,1,29,1,13,1,30,3,28,1,6,1,30,1,29,1,7,1,13,2,7,1,29,1,13,1,6,1,13,1,6,1,7,1,30,1,29,1,30,1,28,28,30,1,29,1,6,3,8,1,6,1,9,1,24,1,9,2,11,1,9,1,8,1,11,1,13,1,9,1,8,1,9,1,13,4,7,1,30,1,7,1,6,1,13,1,7,1,30,1,6,1,7,2,30,1,13,1,17,19,14,1,15,2,14,3,12,1,10,2,17,1,12,1,9,1,17,15,16,2,11,1,16,1,9,1,12,1,11,1,16,1,17,2,16,1,17,1,11,1,16,1,11,1,16,1,11,2,16,1,11,2,9,1,11,1,9,1,11,1,16,1,9,1,16,3,11,1,9,2,11,2,9,3,13,2,9,1,13,1,9,3,11,1,9,1,13,1,9,3,16,1,9,1,11,4,9,1,11,1,9,1,16,1,9,2,16,1,9,1,11,1,16,1,17,1,9,1,11,3,16,5,17,1,16,1,17,2,16,1,17,4,30,1,13,2,9,1,17,1,13,2,28,1,6,1,30,1,7,1,30,1,29,1,6,1,30,5,28,1,6,1,30,2,28,3,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,4,6,1,30,1,6,1,30,1,6,1,30,2,7,1,13,2,30,2,13,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,6,1,29,2,28,1,30,1,28,1,13,1,6,1,13,2,6,1,13,1,6,2,30,1,6,1,30,4,6,1,30,3,29,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,2,29,1,6,2,30,1,6,2,30,2,28,2,30,4,28,1,30,5,6,1,30,2,6,3,29,1,30,2,6,2,30,1,6,1,30,1,6,1,30,1,28,1,13,1,6,1,30,2,13,3,6,3,29,1,6,1,8,1,30,2,6,2,30,3,6,1,30,4,6,2,30,2,6,1,30,1,6,2,30,1,6,2,7,1,29,1,6,1,30,2,6,2,30,1,6,2,29,1,6,1,29,1,6,2,30,1,7,1,29,1,6,1,30,1,13,1,30,1,6,1,30,1,6,1,28,1,30,5,28,1,6,3,30,4,6,3,30,2,6,1,30,1,29,1,6,2,30,1,29,1,28,1,30,4,28,1,30,4,6,2,30,1,6,3,29,1,30,1,6,3,30,3,6,1,30,5,7,1,6,2,30,1,13,1,30,1,6,4,30,1,6,2,13,1,6,1,30,1,13,1,6,1,30,1,6,5,13,1,6,4,29,2,6,2,30,1,6,2,7,1,6,3,13,1,6,1,13,1,7,1,30,1,13,1,6,3,7,1,6,1,13,1,6,2,30,1,6,1,30,1,6,1,13,1,6,8,13,1,6,3,29,1,6,1,30,2,6,1,29,1,7,2,6,1,29,1,6,1,30,1,13,1,9,1,13,1,30,1,28,1,6,2,30,3,6,1,28,1,6,2,30,1,28,1,30,4,28,2,30,6,6,1,30,4,28,1,30,2,28,5,30,4,28,1,30,1,6,1,28,6,6,1,28,2,6,1,28,1,12,1,13,1,29,1,28,4,30,1,6,1,30,1,28,2,8,1,9,2,13,1,8,2,11,2,16,2,17,1,12,1,17,1,11,1,16,2,11,1,17,1,11,1,9,2,13,1,10,2,11,1,9,1,12,1,9,2,12,2,10,1,9,1,12,1,9,1,17,1,24,1,9,1,10,1,9,1,12,2,24,1,8,1,10,1,17,1,11,1,16,1,17,2,11,2,16,2,11,3,17,1,12,2,17,1,11,1,17,1,11,1,12,1,11,1,12,1,17,2,9,1,12,1,10,1,11,1,10,1,11,1,10,2,11,1,12,1,10,1,8,1,12,2,8,1,10,1,9,1,10,2,11,1,9,4,12,1,13,1,9,1,11,1,9,6,8,1,9,4,12,1,9,1,10,1,9,2,10,2,17,1,12,1,11,2,12,1,9,1,11,1,12,1,10,1,12,1,9,1,11,1,9,1,10,1,12,1,17,2,11,6,10,1,9,1,17,1,12,1,9,1,11,1,9,1,10,1,12,5,10,1,6,2,27,1,30,1,6,1,30,2,28,1,6,1,28,1,30,1,28,1,27,1,28,1,26,1,27,1,29,2,27,1,30,1,29,1,25,1,30,1,29,1,25,1,30,1,26,1,25,1,26,1,24,1,26,1,25,2,26,1,25,1,6,1,25,2,26,1,27,1,25,2,24,1,8,2,25,1,29,1,24,1,8,1,25,1,26,1,24,3,25,1,24,1,10,1,24,1,8,1,24,1,17,1,24,4,8,1,12,1,24,2,8,3,24,1,8,1,24,1,10,1,7,1,12,1,24,2,13,1,12,1,10,1,12,1,6,1,12,1,24,6,8,1,24,1,10,1,24,1,10,1,24,1,10,2,24,1,17,1,24,1,12,1,17,1,12,1,10,1,24,1,8,1,24,1,8,1,6,1,8,1,13,1,8,2,7,1,24,1,10,1,13,2,24,2,8,4,7,1,13,1,24,1,6,1,13,1,7,1,30,1,28,22,30,1,13,2,24,3,8,1,24,3,10,1,8,1,24,1,8,1,24,3,7,1,24,1,7,1,8,1,24,2,8,1,24,1,8,1,24,2,7,1,8,1,24,3,8,1,24,2,13,1,24,1,8,2,24,1,13,1,8,1,9,1,12,1,13,1,24,1,8,2,24,1,7,1,13,1,7,1,12,1,8,1,7,3,13,1,6,1,12,1,8,1,24,2,10,1,12,1,17,1,12,1,17,1,12,1,24,1,12,1,6,1,24,1,10,1,24,1,8,1,12,1,10,1,12,1,24,1,17,1,24,2,12,1,8,1,10,1,24,2,6,1,8,1,24,1,12,1,13,1,8,1,12,1,10,2,12,1,24,1,17,1,24,3,12,1,17,3,12,1,17,1,10,1,12,1,17,1,12,1,17,1,12,1,10,1,17,6,12,1,17,1,12,1,11,1,17,1,12,2,11,1,28,6,6,1,13,1,28,22,13,1,9,1,13,1,7,1,13,1,9,3,11,1,8,1,9,2,13,2,8,1,13,1,6,1,9,1,13,3,8,2,13,1,9,1,13,1,12,1,8,1,10,1,12,1,10,1,12,1,8,1,12,2,11,2,10,1,12,1,17,1,10,1,12,1,17,1,12,1,17,5,16,1,10,1,11,1,9,4,13,3,6,2,8,1,13,1,8,1,7,2,6,1,30,1,13,1,8,1,13,1,8,1,13,1,8,1,13,3,8,1,7,1,9,1,29,1,30,1,13,1,9,3,11,1,7,2,6,1,28,1,30,2,28,31,30,1,9,1,7,1,8,1,9,1,13,1,8,1,13,1,8,1,6,1,13,2,9,1,13,5,6,1,13,3,9,1,7,1,8,1,13,7,6,1,13,4,9,1,13,1,11,1,8,1,10,1,13,1,9,6,8,1,13,1,11,1,8,1,9,3,8,1,13,2,9,2,13,1,8,1,9,1,11,1,9,2,13,1,9,3,13,1,8,1,9,2,8,1,9,2,13,1,8,1,6,1,13,1,6,1,13,1,6,1,13,4,8,1,13,2,8,1,13,2,9,1,7,1,13,1,7,1,13,1,7,1,6,1,8,1,7,1,13,3,6,4,7,1,28,1,30,1,6,1,28,28,30,2,28,3,30,1,28,1,30,2,28,1,6,1,14,2,16,1,17,1,9,3,6,1,7,1,6,1,30,1,6,1,30,3,29,1,30,2,6,1,7,1,13,1,7,1,8,1,9,1,16,1,17,3,10,1,7,1,28,6,30,1,8,2,6,2,28,36,15,1,8,1,29,1,30,1,28,1,13,1,24,3,6,2,28,3,6,1,29,1,30,1,8,1,24,1,8,2,6,1,28,5,29,1,24,1,13,1,30,1,28,4,30,2,8,1,24,1,9,2,10,1,8,1,24,1,13,1,28,2,13,1,12,1,9,2,13,1,28,3,8,1,9,1,6,1,28,50,8,1,17,1,8,1,28,1,}, {28,38,30,1,13,1,12,1,9,1,13,3,9,1,24,1,7,1,9,1,6,1,7,1,30,1,7,1,6,1,8,1,17,2,12,1,10,1,8,1,6,1,28,3,29,1,7,1,24,1,10,1,7,1,30,1,6,1,7,1,28,1,30,1,28,7,10,1,12,1,7,1,28,41,30,1,29,1,30,1,6,2,28,1,30,1,6,1,13,1,10,1,24,1,7,1,29,1,13,1,7,1,8,1,9,1,17,1,8,1,28,1,30,1,28,1,30,1,29,1,28,10,30,1,6,1,30,1,6,1,24,2,29,1,28,5,6,1,8,1,10,1,12,1,10,1,24,1,8,1,24,3,8,1,24,2,13,1,12,1,14,2,24,1,8,1,30,3,8,1,30,1,28,38,6,1,8,2,6,1,28,5,9,1,24,1,17,1,9,1,8,1,6,1,8,1,24,1,8,1,6,1,29,1,6,1,29,1,13,1,6,2,28,1,30,2,29,1,6,2,13,1,6,1,8,1,9,2,11,1,17,3,9,1,6,1,28,14,30,1,13,2,6,1,30,2,29,1,7,1,6,1,30,1,28,1,6,2,28,1,6,2,28,1,6,1,29,1,8,1,9,6,11,1,16,1,9,1,11,1,10,1,13,1,10,1,9,2,10,1,11,1,9,1,10,1,11,2,9,4,16,1,9,1,10,1,8,1,11,1,8,1,10,1,9,2,11,1,8,1,13,1,16,1,11,1,9,2,13,1,9,1,11,1,8,1,11,1,16,1,17,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,11,1,16,1,9,2,11,1,9,3,10,1,11,1,10,1,9,2,8,1,9,2,11,1,9,3,11,1,13,1,9,2,11,1,8,2,11,2,8,1,10,1,9,2,10,1,8,1,11,1,10,1,11,1,8,1,17,1,16,1,17,2,9,1,16,1,11,1,17,1,9,1,16,1,11,1,9,1,16,1,17,1,11,1,10,1,17,1,16,1,10,1,9,2,11,1,9,1,13,1,9,1,30,1,6,1,13,3,6,1,8,1,13,1,8,1,13,1,8,1,7,1,13,1,9,2,11,1,9,3,6,3,7,1,29,1,6,1,13,2,7,1,13,1,24,1,13,3,9,1,13,1,9,1,8,1,13,1,7,1,8,1,10,1,8,1,13,1,12,1,6,1,11,1,8,1,9,2,16,1,9,1,8,1,10,1,9,1,8,1,13,1,11,1,17,1,9,1,10,1,11,1,10,1,11,1,9,1,16,1,11,2,16,1,10,1,16,3,11,1,16,2,9,5,8,1,11,1,9,2,8,2,9,5,8,1,9,2,8,1,9,1,13,1,11,1,8,1,11,2,9,1,11,1,9,3,16,1,9,2,10,1,8,1,9,1,11,1,9,4,11,1,8,1,9,2,10,1,11,2,9,1,16,1,9,1,10,1,8,1,13,1,9,1,11,2,10,1,9,1,16,1,8,2,11,1,9,2,11,2,9,1,11,1,9,5,12,3,8,1,24,1,8,1,13,1,7,2,30,1,28,1,6,1,28,25,17,24,12,2,8,1,17,3,11,1,9,1,12,1,8,1,9,1,13,1,24,2,13,2,29,1,6,1,29,2,28,13,30,1,6,1,30,1,28,1,29,1,28,3,30,1,28,4,30,1,28,6,6,1,28,1,6,1,28,11,30,1,29,1,6,1,29,1,28,1,13,2,6,1,8,3,13,2,24,1,9,1,13,1,8,1,24,1,8,1,13,1,9,1,24,1,13,1,24,1,8,3,7,1,9,1,7,1,13,1,9,1,8,1,13,2,9,1,7,2,29,1,6,1,13,1,6,1,7,1,6,1,8,1,30,1,13,1,6,1,13,1,6,1,7,1,30,1,6,1,13,1,6,1,30,2,13,1,6,1,29,1,7,1,6,1,13,1,6,2,8,1,6,1,13,1,8,1,13,1,24,1,6,1,7,2,13,1,24,1,13,1,7,1,13,1,9,2,8,1,13,1,9,1,8,1,9,1,8,2,13,2,7,1,13,1,9,1,8,1,9,1,10,1,11,1,17,1,11,1,16,2,9,1,10,1,13,3,29,1,30,1,28,6,30,1,29,1,30,1,28,4,30,1,29,1,6,1,7,3,8,1,13,2,6,1,7,1,13,2,29,1,6,2,30,1,6,1,29,1,6,1,7,1,6,2,29,1,6,2,30,1,6,1,30,1,13,1,28,1,13,1,6,1,29,2,28,31,29,2,13,1,8,1,13,1,8,2,9,7,13,1,6,1,8,1,13,1,7,2,13,1,7,1,29,1,6,1,7,2,30,1,7,2,6,2,13,1,17,18,10,1,17,1,14,2,17,1,12,2,8,1,24,1,17,22,16,1,8,1,9,1,16,1,17,5,16,5,11,1,16,2,9,1,11,5,9,2,11,2,9,1,16,1,11,1,9,3,11,1,9,8,13,1,9,3,11,2,9,2,11,3,9,1,11,1,16,1,9,1,16,1,11,1,9,1,11,3,17,2,11,2,16,1,11,2,16,4,17,2,16,3,17,4,28,1,13,1,9,1,8,1,13,2,6,2,29,1,30,5,28,1,30,3,28,2,30,2,28,3,29,1,30,2,28,1,30,2,28,2,30,1,28,2,30,2,28,1,29,1,6,1,30,4,6,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,6,1,28,1,30,2,29,1,28,2,30,1,6,1,28,1,6,1,28,1,30,1,6,1,30,1,28,1,30,1,6,2,30,1,6,2,30,2,6,1,30,1,6,2,30,1,29,2,30,1,29,1,30,2,29,1,6,1,30,1,6,1,30,2,28,1,7,1,30,8,28,1,30,3,28,1,30,2,6,1,28,1,30,1,6,1,30,2,28,1,6,1,30,2,6,1,30,1,28,1,6,3,30,2,6,2,30,1,6,2,30,1,29,1,6,3,30,3,13,1,6,1,13,1,30,1,6,2,30,1,13,2,28,1,30,1,6,1,30,1,28,1,6,1,30,2,6,1,29,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,30,1,6,5,13,1,6,1,30,1,6,1,29,1,28,1,7,1,30,1,6,1,30,1,13,1,6,3,30,1,6,3,30,1,6,1,13,1,6,2,30,2,6,1,30,6,6,1,30,2,6,1,30,2,29,2,6,6,30,1,7,1,6,1,30,5,28,1,30,2,6,1,28,1,6,1,30,3,6,2,30,2,6,1,30,5,28,2,30,3,28,1,6,3,30,1,6,1,30,1,6,4,30,1,6,1,30,1,6,1,30,1,6,3,30,1,6,2,30,1,29,1,6,6,30,1,6,5,13,1,6,6,7,2,6,3,29,1,6,2,13,1,6,1,28,1,6,1,7,1,6,1,30,1,6,2,29,1,30,1,6,3,13,2,6,3,13,1,30,1,6,1,13,1,6,1,30,1,6,1,30,1,6,3,13,2,30,1,6,1,13,2,9,1,13,1,28,1,30,2,7,1,6,1,30,2,6,1,30,3,6,1,30,4,28,1,30,1,28,1,6,1,30,4,6,1,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,3,6,1,30,3,28,1,30,1,29,1,28,5,6,1,30,2,28,1,13,1,24,1,28,10,13,1,12,2,9,1,8,1,13,1,10,1,16,1,17,3,16,5,12,1,11,2,9,4,11,1,16,1,9,2,12,1,9,1,17,1,9,1,24,2,9,3,11,1,17,1,11,1,9,3,11,1,9,1,12,1,11,1,17,1,16,1,11,1,12,1,17,1,16,4,17,1,16,1,17,1,11,1,17,4,11,2,17,2,11,1,17,1,12,1,10,1,11,2,9,2,8,1,9,1,17,1,9,1,11,1,9,1,10,1,9,1,11,1,9,3,11,2,9,1,11,1,10,1,11,1,10,3,8,2,9,1,8,1,9,1,10,1,8,1,10,1,13,1,9,3,10,1,9,1,11,1,10,2,12,1,11,1,10,1,12,1,10,1,12,1,17,1,12,1,9,1,17,1,12,1,9,1,12,1,17,1,11,1,17,1,12,1,11,1,9,1,12,1,17,1,10,1,12,1,9,1,12,1,11,1,12,1,10,1,12,1,10,2,12,1,17,1,9,1,17,2,12,1,24,2,8,1,29,1,6,1,26,1,29,1,6,1,28,1,30,2,6,1,29,1,30,1,29,1,6,1,30,1,6,1,27,1,29,1,27,1,26,1,30,2,6,1,30,1,7,1,30,1,27,2,30,2,29,1,25,1,27,1,26,1,25,1,6,2,8,1,25,1,29,1,25,1,8,1,24,1,27,1,29,1,24,1,25,3,8,1,25,1,8,1,27,1,24,1,25,1,8,1,24,1,25,1,24,1,8,1,24,1,25,1,12,3,8,1,12,1,10,1,13,1,24,1,12,1,24,4,10,1,24,2,8,1,12,2,24,3,12,1,7,1,24,1,12,1,24,1,10,1,12,1,10,1,24,3,12,1,24,1,10,1,12,2,25,1,24,1,10,1,12,1,25,1,24,3,12,1,24,1,8,1,24,1,8,3,24,1,8,1,7,1,13,1,8,3,13,1,24,1,7,1,8,1,13,1,7,1,24,1,13,2,8,1,6,2,28,22,6,1,10,1,8,1,24,2,9,1,10,1,24,1,8,1,24,2,13,1,24,1,8,1,25,2,24,2,8,1,24,1,8,2,24,1,8,1,24,1,8,1,24,1,8,1,24,1,9,1,8,1,13,1,24,1,12,1,24,1,8,2,13,1,24,2,10,1,24,3,13,1,24,1,6,1,24,1,7,1,8,1,7,1,24,1,13,1,7,1,6,1,13,1,6,1,8,2,7,1,24,1,8,1,10,1,24,1,12,1,10,1,9,1,17,1,10,1,12,1,8,1,13,2,8,1,13,2,24,1,17,1,24,2,10,1,12,1,10,1,24,3,8,3,24,1,10,1,24,4,8,1,24,1,8,1,24,1,8,1,24,2,10,1,17,1,10,1,12,1,17,1,24,2,10,1,12,1,17,3,12,1,17,5,10,1,17,6,12,2,10,1,17,1,28,5,6,1,13,1,28,23,6,1,30,1,13,1,9,1,10,2,24,1,13,1,8,2,24,1,8,2,13,5,7,1,13,2,8,1,13,1,24,1,9,1,7,1,9,1,8,1,10,1,8,1,13,1,9,1,11,2,9,1,12,1,10,2,12,1,11,1,12,1,17,4,11,1,17,3,11,2,16,1,13,1,9,3,11,1,28,1,6,1,7,1,8,1,13,2,7,2,13,2,7,1,6,1,13,2,8,1,9,2,13,1,9,2,13,4,6,2,9,1,11,1,9,2,13,1,9,1,30,1,6,1,30,1,28,32,13,1,8,1,7,1,9,1,13,2,8,1,13,1,9,1,13,1,8,1,13,2,8,1,6,1,13,2,8,1,13,1,8,1,13,2,8,1,13,1,8,1,6,1,13,4,9,1,6,2,13,1,6,1,13,2,6,1,13,1,9,1,13,1,9,2,16,1,10,1,9,2,13,1,11,1,9,2,11,1,13,1,9,2,13,1,9,1,13,1,9,3,11,1,9,1,8,1,9,1,13,1,9,2,13,1,9,2,8,1,9,1,8,1,13,1,9,2,13,1,9,2,7,1,13,1,9,1,13,2,30,1,13,1,8,1,13,2,6,1,13,1,8,1,13,2,30,1,13,2,7,1,9,1,13,1,6,1,13,1,6,1,13,1,6,2,13,3,7,1,6,1,28,30,30,1,29,1,28,6,29,1,28,2,13,1,14,1,16,2,17,1,10,1,24,1,9,1,8,1,7,1,13,1,6,2,28,1,30,1,6,7,13,1,8,1,11,1,16,1,17,4,30,2,28,2,30,2,28,1,30,1,10,1,8,2,30,1,6,1,30,1,28,34,8,2,28,2,29,1,8,1,9,1,10,1,8,1,7,1,29,1,28,5,30,1,8,2,9,2,7,1,28,5,6,1,8,2,28,6,6,2,8,1,9,1,24,1,11,1,8,2,6,1,30,2,6,1,12,1,9,1,16,1,13,1,28,2,30,1,7,1,8,1,7,1,28,50,13,1,10,1,9,1,28,1,}, {28,36,30,1,6,1,8,1,9,1,13,2,7,1,13,1,7,1,13,1,8,1,9,2,6,1,7,1,30,1,6,1,24,1,9,1,17,1,13,1,17,1,8,1,30,2,28,4,29,1,14,1,8,2,7,1,30,1,6,1,29,1,28,8,8,1,12,1,6,1,30,1,28,42,30,1,6,1,29,1,8,1,7,1,6,1,13,1,12,2,30,1,7,1,30,1,13,1,30,1,10,2,24,1,28,1,30,3,6,1,30,1,29,2,30,1,28,8,29,1,6,1,9,1,8,1,29,1,28,5,6,1,8,1,9,1,17,1,10,1,9,1,24,1,9,1,8,2,24,2,8,1,7,1,8,1,14,2,15,1,8,1,28,1,29,1,8,1,13,1,6,1,28,35,30,2,28,1,6,1,13,1,9,1,13,1,28,5,24,1,10,2,8,1,9,1,13,2,9,1,6,1,13,1,24,1,6,2,8,1,29,1,6,3,28,1,30,1,29,1,30,1,29,1,6,1,8,1,24,1,12,1,24,1,12,1,11,1,17,2,29,1,28,13,30,1,6,1,28,1,30,2,29,1,30,2,6,2,28,1,6,1,13,1,30,1,6,1,28,2,30,3,13,1,9,1,13,1,9,1,8,1,9,1,8,1,9,2,8,1,11,1,8,1,16,1,8,1,16,1,11,3,16,1,11,1,9,2,16,1,11,1,8,1,11,1,9,3,8,1,16,1,11,1,8,1,10,1,9,2,8,1,11,1,9,3,10,1,9,1,11,1,10,1,11,1,9,2,16,1,9,1,16,1,9,1,11,1,9,1,10,1,9,1,10,1,9,1,16,1,13,1,16,1,10,1,11,1,8,1,13,1,9,1,16,1,9,1,10,1,11,1,13,1,12,1,13,1,8,1,11,1,9,5,8,2,9,2,13,1,7,1,8,1,9,2,10,1,8,1,11,1,9,4,11,2,16,1,11,1,17,1,11,1,9,1,11,2,17,1,10,1,16,1,9,1,11,1,9,3,16,1,9,2,16,1,10,1,9,1,11,2,9,1,6,1,29,1,6,1,30,1,6,1,7,1,8,1,13,3,8,1,13,1,11,1,13,2,9,1,11,1,9,2,6,1,30,2,6,1,30,1,6,1,29,1,13,2,30,2,13,1,8,1,9,1,8,1,9,1,8,1,9,1,11,1,9,1,8,1,13,1,8,1,6,1,12,1,8,3,11,1,13,1,9,1,13,1,12,1,13,1,9,1,13,1,9,1,17,2,11,1,16,4,9,1,16,1,11,1,16,3,11,1,16,2,11,2,16,1,10,1,9,5,8,1,10,2,9,2,13,1,9,4,13,1,11,1,9,3,11,1,10,1,8,1,9,4,11,1,8,1,9,5,13,1,9,1,11,1,10,1,9,2,8,1,11,1,9,1,10,1,9,1,10,1,11,1,9,1,10,1,9,2,16,1,10,1,16,1,9,2,16,1,10,1,9,1,11,1,9,2,11,2,9,1,11,2,9,1,11,1,9,2,13,3,12,1,9,1,11,1,9,2,6,1,8,1,7,1,6,1,7,1,30,1,28,26,17,11,12,1,11,1,12,1,17,7,11,1,16,1,17,4,11,2,10,1,12,1,9,1,10,2,9,1,10,1,9,1,13,1,8,1,13,1,6,3,30,1,28,7,30,1,28,1,6,1,28,2,30,1,28,2,29,1,28,16,30,1,28,5,30,1,28,7,30,2,28,1,6,1,29,1,7,1,8,1,13,1,8,1,10,1,7,1,9,1,13,1,24,1,9,1,8,1,9,1,13,1,8,1,13,1,9,1,6,1,8,1,13,1,9,1,6,1,10,1,13,1,24,1,13,3,8,1,29,1,8,1,13,1,6,1,13,1,8,1,29,1,6,1,13,1,30,1,6,1,13,1,6,1,28,1,7,1,13,1,28,1,29,1,7,1,6,2,29,2,13,1,30,1,7,1,13,1,6,2,30,1,29,1,6,1,13,4,29,1,7,1,13,1,8,2,7,1,13,3,9,1,8,1,24,1,8,1,11,1,13,1,8,1,13,1,8,1,13,2,8,1,13,2,7,1,13,1,8,1,13,1,8,1,10,1,11,1,17,1,16,1,17,2,16,1,11,2,8,1,13,1,7,1,30,2,29,1,28,1,6,3,13,1,7,1,30,1,6,1,28,1,30,1,6,1,29,1,8,1,13,2,8,2,24,1,13,1,8,1,13,3,29,1,6,1,29,1,6,1,29,1,13,1,7,1,29,2,28,1,30,1,6,1,28,1,6,1,28,1,6,1,30,2,29,1,28,1,30,1,28,2,30,1,28,29,29,1,28,2,7,2,13,2,8,1,9,2,8,1,9,1,8,1,9,2,13,1,9,1,7,1,13,1,8,1,29,1,6,1,13,1,6,1,29,1,30,1,13,1,30,1,7,2,29,1,7,1,17,21,12,1,17,1,12,1,8,1,13,1,12,4,17,20,6,1,11,1,9,1,17,4,11,2,16,1,11,1,16,2,11,1,16,2,9,1,11,1,16,1,11,1,9,1,11,3,16,1,9,2,11,1,9,1,11,1,9,3,11,1,9,2,11,1,9,7,13,1,9,1,11,2,16,1,11,1,16,2,11,3,9,1,16,1,13,1,16,1,9,1,16,1,11,1,17,1,16,2,11,3,16,6,17,1,16,3,17,4,28,1,13,5,6,1,30,5,28,2,30,1,28,2,30,7,28,1,30,3,28,2,6,1,28,2,30,2,28,2,30,3,6,1,30,1,6,1,30,1,28,1,30,1,6,1,13,4,6,3,30,4,28,2,6,1,28,1,29,1,6,1,30,2,28,1,30,1,29,1,13,1,30,2,6,1,30,1,6,1,30,1,6,3,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,29,1,30,2,6,1,30,2,6,2,30,2,6,1,30,2,6,1,30,2,28,1,30,1,29,1,28,1,30,5,6,1,30,1,6,1,30,7,28,1,30,1,6,3,28,1,6,1,30,1,28,1,30,3,6,1,29,1,30,5,29,1,30,1,6,1,13,1,6,4,28,1,8,1,13,1,28,1,6,1,30,1,6,1,30,6,6,2,30,2,13,1,6,3,13,1,6,1,30,1,6,4,30,1,29,1,6,1,28,1,6,1,30,1,6,1,30,1,13,1,30,1,6,1,7,1,30,2,28,1,6,1,28,1,6,2,30,1,6,2,30,2,28,1,6,3,30,2,6,1,30,2,29,1,28,1,30,4,6,5,30,1,6,1,29,1,6,1,30,4,6,1,30,1,28,3,6,1,30,1,6,1,30,3,29,1,30,1,29,1,6,1,28,1,30,1,28,2,6,1,30,2,6,2,30,1,28,1,30,2,6,1,30,1,6,1,13,1,6,1,7,1,6,7,28,1,29,1,6,5,29,1,6,1,30,1,13,1,28,1,6,5,29,1,30,1,6,7,7,1,30,1,6,2,30,1,6,2,30,1,6,1,29,1,6,4,13,1,30,1,28,1,6,3,30,1,6,1,29,1,6,2,13,1,6,1,13,1,6,2,7,1,6,3,29,1,6,4,13,1,7,1,13,1,6,1,7,1,11,1,13,2,30,2,13,1,30,1,13,1,30,2,29,1,6,1,30,5,29,1,28,2,30,1,28,1,30,1,6,1,30,1,6,1,30,2,28,1,6,1,28,1,30,1,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,5,28,1,30,3,28,8,7,1,28,1,30,1,6,1,28,5,29,1,13,1,9,1,10,1,12,1,17,1,9,3,17,1,11,1,17,2,11,1,17,1,16,1,12,1,11,1,16,2,9,1,8,1,10,1,8,1,12,1,11,2,10,1,9,2,10,1,9,1,13,1,8,1,24,1,8,1,9,1,13,1,8,1,9,1,24,1,8,1,9,2,12,1,9,1,11,1,16,2,11,2,17,1,16,1,17,1,16,2,11,1,17,2,16,1,17,5,12,1,10,1,17,1,11,1,17,1,10,1,12,1,11,2,24,1,12,1,9,1,12,1,9,1,10,1,9,1,10,1,17,1,9,1,11,1,9,2,10,1,9,1,10,1,9,1,12,1,9,1,10,2,9,1,13,1,9,1,13,1,10,1,8,1,10,1,13,1,8,1,12,1,11,1,9,3,11,1,10,1,11,2,10,1,17,1,11,1,9,1,11,2,9,1,11,1,9,1,17,1,11,1,12,1,10,1,17,1,12,1,9,1,17,1,11,1,10,1,11,1,12,1,9,1,11,2,12,1,9,1,17,1,11,1,10,2,17,1,11,1,10,1,11,1,9,2,17,1,12,1,10,1,24,1,7,1,8,1,29,2,6,1,28,1,6,1,29,2,30,1,28,1,30,2,29,4,6,2,25,1,28,1,6,1,28,1,6,2,28,1,29,1,6,2,25,1,26,1,25,4,26,1,29,1,26,2,25,1,30,1,6,2,26,1,29,1,25,1,8,1,25,1,8,1,24,1,25,1,24,1,26,1,25,1,24,1,25,1,8,1,24,3,8,1,24,2,10,1,8,1,24,2,10,1,12,1,8,1,24,1,8,1,24,2,10,2,12,1,10,2,12,1,24,1,10,1,12,1,24,1,12,1,24,1,12,1,8,1,24,1,25,1,8,1,24,4,10,1,24,2,17,1,10,1,24,3,12,1,10,2,24,1,8,1,25,1,24,2,8,3,6,2,8,2,6,1,13,1,8,1,7,1,29,1,8,1,24,1,6,2,8,1,25,1,13,1,7,1,25,1,7,1,8,1,6,1,29,1,28,21,9,2,24,1,12,1,8,1,24,1,9,1,13,1,10,1,24,1,10,1,24,1,12,1,25,1,24,3,8,1,13,1,8,1,12,1,24,1,13,1,24,7,13,1,24,4,8,2,10,1,7,1,12,1,8,1,24,1,8,1,24,1,6,1,24,2,8,1,24,2,8,3,7,1,24,1,8,1,24,1,8,1,24,1,9,1,24,1,12,1,24,1,8,1,13,1,12,1,24,1,12,1,8,1,10,1,12,1,13,1,8,2,24,1,17,1,12,1,17,1,13,1,17,1,10,1,12,1,10,1,24,4,8,1,13,1,24,1,7,2,10,1,12,1,8,1,24,2,17,1,10,1,24,1,10,1,24,1,10,1,12,1,10,1,12,2,17,1,10,2,12,2,17,1,12,1,17,1,12,2,17,1,12,2,17,1,12,1,17,4,12,3,10,1,11,1,28,5,13,2,28,25,13,1,9,1,8,2,10,1,7,1,13,3,9,1,13,1,9,1,13,1,6,2,13,2,8,1,6,1,8,1,24,1,11,1,8,1,9,1,10,1,24,1,9,1,13,1,8,1,9,1,8,1,13,1,9,1,10,1,12,2,11,1,17,1,12,1,17,2,11,1,12,2,17,3,16,2,9,2,11,1,13,1,9,1,13,4,8,1,13,1,8,1,13,2,6,1,13,2,8,1,9,1,13,1,6,1,9,1,13,5,6,1,7,1,6,1,13,2,9,1,16,1,9,2,13,2,30,1,13,1,28,1,30,1,28,1,30,1,28,29,6,1,7,2,9,1,13,1,9,1,8,1,13,2,8,2,13,2,7,1,13,8,8,2,13,1,9,1,13,1,6,1,9,1,6,1,13,2,6,1,30,1,13,1,6,1,13,2,6,1,8,1,6,1,9,1,6,1,9,2,10,1,13,1,11,1,9,1,11,2,13,1,11,1,9,2,11,1,9,1,13,3,9,2,8,1,9,3,13,1,9,1,13,1,16,1,9,1,13,1,9,1,13,2,9,1,8,2,13,1,8,2,9,1,13,2,8,1,13,1,9,1,13,4,7,1,13,2,9,1,13,2,6,3,13,1,6,1,7,1,6,1,9,1,6,1,13,2,6,1,8,1,6,2,30,2,28,24,29,1,28,14,7,1,14,1,17,1,16,1,12,1,9,1,8,1,24,1,8,1,13,2,29,1,6,1,29,1,6,1,29,1,6,2,29,1,13,1,29,1,6,1,13,1,8,1,9,2,17,3,10,1,30,1,28,1,6,1,28,1,30,2,29,1,7,1,8,1,17,1,13,1,8,1,29,1,28,34,29,1,13,2,30,1,28,1,6,1,7,1,8,3,7,1,29,1,30,1,28,1,29,1,30,1,28,1,6,2,24,1,9,1,8,1,6,1,28,5,6,1,8,1,24,1,28,6,13,1,7,1,13,1,15,1,8,1,24,1,10,1,24,1,6,2,28,1,29,1,14,1,11,1,9,1,30,1,28,2,30,1,6,1,13,1,29,1,28,50,12,1,16,1,13,1,6,1,}, {28,34,30,1,6,1,30,1,13,2,6,1,30,1,6,1,13,1,28,1,8,2,13,1,9,1,13,1,8,2,13,1,9,1,8,2,13,1,24,1,17,1,24,1,30,1,28,5,13,1,8,1,24,1,13,1,29,1,30,1,28,1,30,1,28,8,7,1,12,1,10,1,6,1,28,42,29,1,6,3,29,2,8,2,10,1,29,1,6,1,7,2,13,1,9,1,11,1,9,1,30,1,6,1,28,3,6,2,30,2,29,1,30,1,28,6,30,1,13,1,24,2,6,1,28,5,6,1,9,1,12,1,17,1,9,1,11,1,9,1,8,3,13,2,8,1,10,1,9,1,14,2,9,1,6,1,28,1,6,1,30,1,8,1,6,1,28,37,30,1,28,1,24,2,29,1,28,4,29,1,13,1,12,1,24,1,13,1,8,1,13,3,8,1,24,1,6,2,7,1,30,1,7,1,6,1,30,2,29,2,28,1,30,1,6,1,13,1,24,1,13,1,9,2,17,1,16,1,17,2,28,15,8,1,30,1,6,1,28,1,6,1,28,1,6,2,30,1,29,1,28,1,6,1,30,3,28,1,30,1,28,1,13,2,8,2,11,1,9,1,8,1,9,1,11,3,9,1,11,1,10,1,11,2,16,1,10,1,8,1,11,1,9,3,13,1,11,1,9,1,11,1,16,1,9,5,16,1,9,1,11,1,9,1,13,1,9,1,8,1,11,1,9,1,8,1,9,3,16,1,11,1,9,1,16,1,9,1,16,2,11,1,13,1,11,1,8,1,16,1,9,1,11,1,9,2,13,1,9,1,12,1,13,1,9,2,16,1,9,1,8,1,13,1,11,1,13,1,9,1,8,1,11,1,8,1,9,5,8,1,10,1,13,1,9,3,11,1,10,1,16,1,9,1,17,1,13,1,11,1,17,1,11,1,16,3,17,1,16,1,17,1,11,1,16,2,9,1,16,3,9,1,16,1,8,1,17,1,11,1,10,1,16,1,9,1,11,1,9,1,11,1,8,1,6,1,13,1,30,1,28,1,30,2,9,1,7,1,13,1,6,1,9,1,11,1,8,1,9,3,16,1,8,1,9,1,30,1,28,1,13,1,28,1,30,1,8,1,6,1,7,1,8,2,24,1,9,1,24,1,13,2,8,2,7,1,6,1,8,1,13,1,9,1,8,1,13,2,11,2,9,2,10,2,8,1,11,2,9,1,10,1,8,1,17,2,9,1,11,2,16,1,9,1,10,1,16,2,11,1,16,1,11,1,16,1,17,1,16,1,11,1,9,2,11,1,8,1,9,1,13,1,9,1,11,1,9,3,13,1,8,1,9,6,8,2,11,1,8,1,9,2,11,1,9,11,11,3,9,2,10,1,9,1,11,1,8,1,11,1,10,1,11,1,9,3,11,1,9,2,11,2,9,1,11,2,9,2,16,1,17,1,9,1,11,1,9,1,12,1,9,1,11,2,9,5,8,1,9,3,13,2,8,1,13,2,6,2,30,2,28,25,17,7,11,1,17,3,10,1,17,1,10,1,12,2,17,5,16,2,11,1,17,1,16,1,11,2,9,1,17,1,9,2,17,1,10,1,9,3,13,1,9,1,7,1,30,1,13,1,29,1,28,3,30,2,28,2,30,1,28,2,6,1,28,6,29,2,28,3,30,1,28,13,30,1,29,1,28,2,30,2,28,1,29,1,28,1,7,1,28,1,6,1,7,2,6,2,13,3,8,3,13,1,9,1,7,1,8,1,13,1,9,1,24,1,9,1,8,1,9,1,8,2,13,1,8,1,13,1,11,1,8,3,13,1,8,1,13,1,8,1,13,1,6,1,7,1,8,1,7,1,29,1,13,1,6,1,28,1,8,1,6,2,7,1,30,1,7,1,30,1,7,1,28,1,29,1,30,1,28,1,7,1,6,1,30,2,29,1,28,1,29,1,6,2,13,1,6,4,7,1,6,2,13,1,8,1,13,2,10,1,7,1,9,1,6,1,8,2,9,1,8,1,13,3,8,1,13,6,7,1,8,1,13,1,9,3,16,1,17,2,16,1,17,1,11,2,10,1,9,1,8,1,9,2,13,1,8,1,13,1,9,2,8,1,13,2,30,1,29,1,6,2,8,1,24,1,9,1,8,1,9,1,13,2,8,1,6,1,13,2,7,1,29,1,6,3,30,1,7,1,28,1,13,1,29,1,28,1,29,2,13,1,28,1,6,1,28,5,6,1,28,2,30,1,28,31,30,1,29,1,6,1,13,1,24,1,8,2,9,4,8,3,13,1,7,1,13,1,7,1,6,2,13,1,29,1,6,2,7,1,30,1,6,2,13,1,17,21,9,1,10,1,24,1,9,1,17,2,11,2,17,20,9,3,11,1,16,2,17,2,16,2,11,2,9,1,16,3,11,1,9,1,11,1,9,2,16,1,11,2,9,1,11,1,9,1,16,1,11,1,16,1,11,3,9,4,13,1,9,1,11,1,9,1,13,1,11,1,9,4,11,1,9,1,16,1,9,1,11,1,9,1,16,1,11,2,9,1,11,1,9,1,11,3,16,1,11,2,16,1,11,1,16,12,17,4,9,1,13,4,6,2,30,1,13,1,30,3,6,1,30,2,28,1,30,2,6,1,30,2,6,1,30,1,28,1,29,1,28,1,30,1,28,4,30,7,29,1,30,1,6,1,30,1,6,4,13,6,30,5,6,1,30,1,6,1,28,1,30,1,6,2,30,2,28,1,30,6,6,2,30,4,6,2,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,5,28,1,30,1,6,1,28,1,29,1,30,3,6,1,30,1,6,1,30,1,29,1,30,1,28,1,30,2,28,1,30,2,28,1,6,1,28,1,29,1,30,3,6,1,30,1,28,1,6,1,30,3,6,1,28,1,30,1,6,5,30,1,6,1,29,1,30,2,29,1,30,2,6,1,13,1,30,2,6,1,28,1,30,1,6,1,13,1,28,1,6,2,7,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,4,30,3,6,3,30,1,6,3,13,1,30,1,29,2,6,2,30,2,13,3,6,4,29,1,30,1,6,3,30,1,6,1,30,2,6,1,30,4,29,1,30,2,13,1,30,1,29,1,30,3,6,3,30,2,6,5,7,1,6,2,29,1,6,1,30,1,6,3,28,1,30,2,6,2,30,1,29,1,6,3,30,1,6,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,30,1,6,3,30,2,6,3,30,1,13,1,29,1,6,3,13,1,6,3,30,1,6,3,29,1,6,5,13,1,6,2,13,1,6,1,30,1,6,1,29,1,6,3,30,1,13,1,6,2,28,1,6,1,29,2,13,1,6,2,13,1,30,1,6,1,30,1,6,1,30,1,6,3,30,1,6,3,13,1,6,4,30,1,6,1,13,1,6,1,13,1,6,1,7,1,13,2,6,1,7,1,13,1,6,1,13,2,8,1,10,1,8,1,13,1,30,1,28,1,30,2,29,1,7,1,29,1,30,6,28,1,30,1,6,1,28,2,6,1,30,1,6,1,7,2,29,1,30,1,28,1,6,1,28,2,30,3,28,1,30,2,28,1,30,3,28,1,30,1,28,4,30,1,28,1,30,1,28,7,7,1,6,1,29,1,28,7,13,1,17,1,8,2,9,1,17,1,11,1,9,2,11,1,16,1,17,1,16,1,11,1,17,1,10,1,16,2,11,1,17,1,9,2,8,1,9,2,12,1,9,3,10,1,12,1,8,2,24,2,8,2,11,1,9,1,8,1,9,1,12,1,9,2,16,1,17,1,11,1,16,1,11,1,16,3,17,15,12,1,11,1,12,1,11,2,10,2,12,1,11,1,9,2,11,1,10,1,12,1,9,1,17,1,10,3,9,1,10,2,9,1,8,1,10,1,9,1,11,1,10,1,9,1,11,1,10,1,9,1,8,1,9,2,8,1,9,1,10,1,9,1,11,1,12,1,9,1,11,1,12,1,17,1,9,1,12,1,9,2,11,1,9,1,12,1,10,2,12,1,11,2,12,1,11,2,9,1,10,1,12,1,11,1,12,2,10,1,17,1,12,1,17,1,11,1,10,1,12,1,11,1,10,1,12,1,11,1,9,1,10,1,12,1,9,2,12,2,10,1,24,1,6,1,13,1,8,1,28,1,29,1,30,1,28,1,30,1,28,1,30,2,6,2,8,1,30,1,28,1,30,1,6,2,30,1,28,1,8,1,28,1,30,1,7,1,30,1,6,1,25,1,30,1,6,1,27,1,29,1,25,1,29,1,24,1,25,2,27,1,26,1,27,1,26,1,8,1,6,1,8,1,26,1,8,1,25,2,8,1,6,2,24,1,8,1,24,2,8,1,24,1,8,2,24,1,8,1,24,1,8,1,25,1,24,1,10,1,24,2,12,1,24,1,8,1,24,2,8,1,24,1,10,1,24,2,10,2,8,1,12,1,10,1,24,3,12,1,24,2,10,1,24,1,6,1,24,1,8,1,10,2,24,1,10,1,12,2,24,1,10,1,24,4,8,2,24,1,6,1,7,1,25,1,6,2,24,1,6,1,13,1,7,1,13,1,7,1,8,1,7,1,29,1,8,1,6,1,7,1,25,1,27,1,6,1,25,1,8,2,13,2,7,1,29,1,30,1,28,19,6,1,24,1,9,1,24,1,9,2,8,2,24,2,8,1,24,1,10,2,25,1,7,1,24,1,8,1,24,1,25,1,24,1,6,1,24,1,10,1,8,1,13,1,10,1,13,1,12,1,8,1,12,1,8,1,10,1,25,1,24,2,10,1,8,1,10,1,8,1,24,1,8,3,24,2,9,1,8,2,13,1,24,2,6,1,13,1,7,3,8,1,10,1,24,2,6,1,7,1,24,3,12,1,24,1,12,2,24,1,7,1,12,1,10,1,8,1,9,2,17,1,12,1,17,1,9,1,12,1,10,2,17,1,8,1,24,1,12,1,25,1,24,2,10,1,25,1,8,1,24,3,8,1,12,1,8,2,24,3,8,1,17,1,9,1,10,1,9,1,17,1,12,1,17,1,12,2,17,2,12,1,10,1,17,4,12,2,10,1,17,1,12,5,17,1,28,4,6,1,8,1,29,1,28,24,30,2,13,1,8,2,24,1,30,1,13,1,6,1,13,2,9,1,24,1,13,2,7,1,13,1,7,2,24,1,8,1,9,1,8,2,10,1,13,1,9,1,8,1,13,1,9,1,13,1,8,1,9,2,13,1,12,1,10,1,12,1,10,1,17,1,11,1,10,1,11,1,17,1,12,1,17,3,9,1,11,1,16,1,9,1,8,1,9,1,13,5,9,2,13,1,6,1,13,3,6,1,8,1,13,2,7,1,13,2,6,1,8,1,13,1,30,1,13,1,6,1,28,1,30,2,9,3,13,3,30,1,6,1,28,33,6,1,13,3,7,1,13,2,8,1,13,7,6,1,8,1,13,1,9,1,13,4,9,1,30,1,8,1,13,5,8,1,13,2,6,1,13,3,9,1,6,1,13,2,9,1,6,1,8,1,11,1,9,2,13,1,9,4,13,1,9,2,13,3,9,3,16,1,13,1,11,1,8,1,9,1,8,1,13,3,8,1,13,1,8,4,9,1,11,1,9,1,13,1,6,1,9,1,13,1,7,1,8,1,7,1,9,1,13,2,6,1,13,3,7,1,13,1,28,1,13,1,6,3,13,1,29,1,30,1,13,1,30,1,6,5,30,1,28,1,13,1,28,28,30,1,6,1,28,1,30,1,28,3,30,1,28,3,7,1,12,1,14,1,15,1,11,1,8,2,24,1,9,1,6,1,7,1,13,1,6,2,7,1,28,1,7,1,30,2,6,1,29,1,6,1,13,1,9,1,17,2,12,1,17,2,24,1,30,1,28,2,7,1,6,2,29,1,13,1,8,1,12,1,9,1,8,1,7,1,30,1,6,1,30,1,28,31,30,1,13,2,29,1,28,1,30,1,7,1,24,1,8,2,13,1,30,1,29,1,28,1,30,2,28,1,7,1,6,1,24,1,8,1,24,1,29,1,28,5,6,1,9,1,8,1,28,2,30,1,28,3,8,1,13,1,24,1,15,1,8,1,10,1,15,1,8,1,6,1,7,1,28,1,13,1,11,1,16,1,9,1,6,1,28,3,13,1,8,1,29,1,28,50,9,1,17,1,8,1,6,1,}, {28,30,30,1,28,1,30,1,28,1,30,2,13,1,6,1,30,1,28,1,30,1,6,3,7,1,9,1,8,2,13,2,9,1,13,1,7,1,29,1,13,1,8,1,9,1,17,1,9,1,30,1,28,5,6,1,8,1,24,1,6,1,29,1,30,1,28,10,6,1,24,2,29,1,28,39,29,1,28,2,29,1,6,2,29,1,28,1,7,1,9,2,17,1,6,3,30,1,29,1,17,2,8,2,28,1,30,1,29,1,7,1,30,1,28,1,6,1,28,8,29,2,7,1,15,1,8,1,30,1,28,5,30,1,8,1,11,1,10,3,9,1,13,1,8,1,24,1,8,1,9,1,6,1,13,1,9,1,15,2,24,1,29,1,13,1,29,1,13,1,29,2,28,37,30,1,6,1,13,1,8,1,13,1,28,5,7,1,12,1,24,1,7,1,8,1,13,1,8,1,13,1,9,1,8,1,7,1,6,1,28,1,6,2,29,2,30,1,28,1,29,1,30,1,29,1,7,1,6,1,13,3,12,1,10,1,17,3,6,1,28,14,30,1,13,1,6,3,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,28,2,9,1,11,2,9,5,16,1,9,1,16,2,11,1,9,1,11,1,9,1,11,1,8,1,11,2,10,1,8,1,13,1,9,1,6,1,9,2,11,1,9,1,11,1,9,1,17,1,11,1,9,3,13,1,11,1,8,1,9,1,11,2,16,1,9,1,17,1,9,1,11,1,12,1,16,1,11,3,10,1,9,1,11,1,16,1,8,1,9,7,8,2,11,1,9,2,10,1,9,4,13,1,9,1,8,1,11,1,9,1,13,1,9,2,8,1,9,3,8,1,10,1,9,2,13,1,11,1,16,2,11,2,9,1,17,1,16,1,11,3,17,1,11,1,13,1,17,1,16,1,11,1,9,1,16,1,9,3,16,1,11,1,9,1,16,2,11,1,9,1,11,1,13,1,7,1,6,1,29,1,6,1,13,1,30,1,13,1,6,1,8,1,7,1,13,1,8,4,9,2,10,1,8,1,29,1,13,1,28,1,30,2,28,1,6,1,8,1,13,3,6,1,13,1,9,1,13,2,9,1,8,1,9,1,13,1,8,1,13,1,8,1,12,1,8,1,9,3,10,1,8,2,9,1,11,1,9,1,16,1,13,1,9,1,17,2,9,1,16,1,11,1,9,1,8,1,17,2,11,4,16,3,9,1,11,1,9,1,11,1,9,3,8,2,9,1,10,1,9,2,16,1,9,4,16,1,9,2,13,1,9,2,8,1,11,1,9,3,11,1,8,1,9,1,11,2,10,1,9,1,8,1,9,4,10,1,9,3,16,1,8,1,11,1,9,2,8,1,9,1,10,1,9,1,11,1,9,1,11,3,10,2,11,2,16,1,13,1,11,2,9,1,10,1,9,7,8,1,9,2,16,1,9,2,13,1,8,1,13,1,8,1,7,1,30,2,28,1,6,1,28,3,30,1,28,20,17,5,12,1,11,1,17,1,9,1,12,1,17,1,11,1,9,2,16,1,11,1,12,1,16,1,17,2,16,1,11,1,17,1,11,1,16,1,11,1,12,1,17,2,10,1,12,1,11,2,8,1,10,1,13,1,8,1,9,1,8,1,7,1,13,1,8,1,29,1,30,1,28,1,29,1,28,7,6,1,28,3,6,3,28,23,29,1,30,1,29,2,7,1,30,2,6,4,13,2,9,1,7,1,13,2,9,2,8,1,6,1,8,1,13,2,8,1,24,2,13,1,9,1,8,1,13,2,9,1,8,1,24,1,7,1,24,1,13,1,10,1,13,6,7,1,13,2,6,1,13,1,29,1,6,3,13,1,28,1,30,1,13,1,29,1,6,1,13,1,29,1,6,1,30,2,7,1,28,1,13,1,29,2,13,1,6,1,30,2,7,1,6,3,7,1,28,1,6,2,30,2,13,1,6,1,7,1,24,1,8,2,29,1,13,5,6,1,13,2,7,2,6,1,7,1,6,1,13,1,8,1,9,1,10,1,17,1,16,1,17,4,16,1,11,1,16,1,9,1,8,1,11,1,9,3,16,2,11,1,7,1,6,1,29,1,8,1,9,1,8,1,9,1,8,1,9,1,13,1,8,1,13,1,7,1,13,2,7,1,8,1,29,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,13,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,31,30,2,29,1,13,1,7,1,13,2,11,1,9,3,11,1,9,1,8,2,7,1,6,1,13,1,6,4,29,1,6,2,30,1,7,1,13,1,8,1,17,19,12,2,11,2,9,2,17,1,9,2,11,1,17,20,11,1,9,2,11,1,17,3,16,1,9,1,16,1,11,2,16,2,9,1,11,2,9,1,13,1,9,2,11,5,16,1,11,1,16,1,11,1,9,2,13,1,9,1,13,1,9,9,13,1,9,2,11,1,9,2,11,1,9,2,11,2,16,1,9,1,16,2,11,2,9,1,16,1,10,1,11,1,16,1,11,1,16,4,11,1,16,5,17,1,16,1,17,4,11,1,6,1,13,2,28,1,30,3,29,1,30,2,28,1,30,3,28,1,30,1,6,2,30,5,28,1,30,5,28,3,30,3,6,1,30,1,6,1,29,1,6,2,13,1,6,2,30,1,7,1,6,1,13,3,6,1,30,4,28,1,30,2,28,1,30,4,28,2,6,1,28,1,6,1,28,1,6,2,30,3,6,1,30,1,29,1,6,1,30,2,29,1,30,1,6,1,30,2,28,1,6,1,29,2,28,1,30,1,6,1,30,6,6,1,30,8,28,2,6,1,30,1,28,2,30,1,6,1,28,1,30,4,28,1,30,2,28,1,30,4,6,3,13,1,6,1,30,1,6,1,30,2,6,1,30,3,6,2,30,1,29,1,30,4,28,1,11,1,30,1,6,2,30,5,28,1,30,6,6,2,28,1,30,1,6,1,30,2,6,1,30,1,6,2,30,2,6,4,30,1,6,2,13,1,7,1,6,2,7,1,6,1,30,1,6,5,30,4,28,1,30,8,6,2,30,1,6,1,28,1,30,3,6,4,13,1,6,1,13,1,6,1,30,4,29,1,30,1,6,1,13,1,28,1,6,1,30,1,6,2,13,1,28,1,30,2,6,1,7,1,6,2,28,1,29,1,30,1,6,1,30,1,29,2,6,4,29,1,6,8,29,1,6,1,13,1,6,1,30,1,6,1,29,1,6,3,30,1,8,1,6,6,13,1,6,1,30,1,6,1,29,1,30,2,7,2,6,1,28,1,13,1,6,2,30,1,13,1,6,3,29,1,6,3,30,1,6,1,13,1,29,1,6,1,29,1,13,1,6,2,13,1,6,7,29,1,30,1,6,1,13,1,28,1,7,1,30,1,29,1,13,1,6,1,7,1,13,2,9,1,8,1,9,1,29,1,30,1,6,1,13,1,6,1,30,1,28,1,6,1,30,7,28,1,29,2,30,6,28,2,30,4,28,1,30,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,30,5,28,9,6,1,30,1,28,2,13,1,28,4,9,1,11,1,9,1,8,1,11,1,17,1,11,1,10,2,9,1,16,3,17,1,11,2,17,2,11,1,17,1,11,1,9,1,8,2,9,2,11,1,10,1,12,1,9,1,24,1,6,1,7,1,8,1,11,1,17,3,11,1,12,1,16,1,11,1,17,2,10,1,11,1,16,1,11,1,16,2,11,2,17,3,16,1,17,2,16,1,17,1,16,2,11,1,17,1,11,1,17,1,11,1,12,3,9,1,11,1,10,2,12,1,11,1,12,2,10,2,8,1,11,1,12,1,17,1,9,1,11,1,10,1,17,1,10,1,11,1,9,1,10,1,9,2,11,1,9,1,13,1,9,2,13,1,9,6,8,2,12,1,9,1,17,1,9,2,12,2,9,1,11,1,17,2,12,1,11,1,12,1,9,1,11,1,9,1,17,1,11,1,12,2,9,1,17,1,9,1,17,1,11,1,12,1,10,1,17,2,9,1,12,1,11,1,10,1,9,1,12,2,10,1,11,1,17,4,24,1,8,1,7,1,29,1,6,3,27,1,29,1,30,1,28,1,29,1,28,1,30,2,7,1,29,2,7,2,29,1,6,2,29,1,7,3,25,1,28,1,30,2,25,3,29,1,26,1,25,1,27,1,26,1,27,1,25,2,29,1,27,1,25,2,30,1,25,1,26,1,8,1,25,1,8,1,24,1,8,1,24,2,25,1,8,1,12,1,24,1,8,1,24,1,8,2,17,1,8,1,24,1,12,1,10,1,12,1,24,1,8,1,12,1,24,1,12,1,8,1,24,2,8,1,24,2,7,1,17,1,24,2,12,1,24,1,7,1,10,1,24,2,12,1,25,2,12,1,24,1,10,1,24,2,12,1,24,1,8,1,25,1,12,1,24,1,17,1,12,1,10,1,24,1,8,1,25,1,8,3,30,1,13,2,29,1,6,1,29,1,6,2,8,1,29,1,13,1,8,1,13,1,7,1,25,3,29,1,7,1,8,1,13,2,8,1,30,1,28,20,8,1,9,2,8,2,24,1,9,1,24,2,8,2,24,1,25,1,24,2,12,1,24,2,10,1,8,1,24,1,7,2,13,1,8,1,24,1,8,1,10,1,13,1,12,2,13,1,24,6,7,1,8,1,13,1,24,2,8,1,13,1,9,1,10,1,8,1,7,1,8,2,6,1,8,2,6,1,7,1,8,2,24,1,13,1,10,1,30,1,24,2,8,2,13,1,10,1,12,1,8,1,24,1,13,1,9,1,24,1,17,1,12,1,24,1,10,1,12,1,17,1,24,1,17,1,8,1,12,1,10,1,24,1,8,2,24,1,13,1,24,6,10,2,12,1,24,1,10,1,8,1,12,1,8,1,10,1,12,1,10,1,12,1,17,1,12,1,17,2,12,2,17,8,12,1,17,1,12,1,17,1,12,3,9,1,17,2,13,1,28,2,6,1,13,1,9,1,28,26,6,3,7,1,13,1,7,1,6,3,8,1,6,1,13,1,6,1,13,2,6,2,8,1,6,1,9,1,24,1,8,1,13,2,9,1,13,1,24,1,8,1,9,1,13,4,11,1,24,1,10,1,11,1,10,1,17,1,10,3,17,5,11,2,16,1,9,2,13,1,8,1,6,1,8,1,9,1,13,2,9,1,13,2,29,1,13,6,7,1,13,4,30,1,8,1,13,1,6,3,13,1,9,1,16,1,9,1,8,1,13,1,30,3,28,33,13,1,6,1,13,6,8,1,13,2,8,1,13,2,9,1,6,1,13,2,8,1,13,1,9,1,8,1,13,2,6,1,13,4,8,1,7,1,13,1,7,1,8,1,7,1,13,4,6,1,13,3,9,1,13,1,8,1,13,4,8,2,6,1,9,1,13,1,7,1,8,1,13,1,8,1,9,1,7,1,8,1,9,2,13,1,9,1,13,1,9,1,13,2,8,1,13,1,9,2,13,1,9,4,8,1,13,2,9,1,6,1,13,3,6,2,13,2,30,1,6,1,13,2,6,1,7,1,30,1,13,1,6,3,13,3,30,1,13,1,7,2,6,2,30,1,28,1,6,1,28,28,30,2,28,1,30,1,28,1,30,1,28,5,29,1,14,1,16,1,12,1,15,1,9,1,24,1,8,1,24,1,7,1,6,1,7,1,6,1,7,1,29,1,7,1,29,1,6,2,13,1,29,1,13,3,17,1,16,1,17,3,12,1,29,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,12,2,8,1,13,2,7,1,30,1,29,1,30,1,28,30,7,1,24,1,8,1,6,1,30,1,28,1,13,1,24,1,13,1,24,1,6,1,29,1,30,1,28,1,29,1,28,1,6,1,29,1,7,1,24,1,9,1,12,1,6,1,28,5,7,1,12,2,28,4,29,2,8,1,24,1,9,2,10,1,12,1,10,1,12,1,6,1,28,1,6,1,8,1,9,1,10,1,9,1,6,1,28,3,6,1,10,1,28,50,30,1,24,1,12,1,8,1,28,1,}, {28,30,30,1,28,1,6,2,13,2,30,1,28,4,8,1,6,3,9,1,6,1,9,2,8,2,7,1,30,1,29,1,6,1,8,2,17,1,9,1,29,1,28,5,6,1,24,1,13,1,7,1,6,1,28,1,30,1,28,8,30,1,6,1,15,1,13,1,28,41,6,1,30,1,28,1,6,1,30,1,6,4,9,1,10,1,6,2,8,1,7,1,29,1,9,1,17,1,9,1,6,1,30,1,6,1,13,1,29,1,13,1,6,2,30,1,28,8,6,1,30,1,8,1,13,2,28,5,6,1,24,1,12,1,10,1,9,3,13,1,8,1,24,1,8,4,11,1,12,1,14,1,8,1,6,1,29,2,7,1,6,2,30,1,28,35,30,2,28,1,13,1,24,1,7,1,28,3,30,1,28,1,13,1,9,1,8,1,9,1,24,1,9,2,6,1,9,1,7,1,6,1,29,2,30,1,28,1,29,1,28,1,6,1,30,1,29,1,6,2,13,1,28,1,29,1,8,1,9,1,10,1,12,1,17,3,13,1,28,15,6,3,13,1,28,2,30,1,29,1,30,2,29,1,6,2,30,2,28,3,13,1,9,5,13,1,9,1,11,1,9,2,16,1,10,1,16,1,9,1,11,1,8,2,10,1,9,4,17,1,9,2,16,1,9,2,11,1,9,2,17,1,13,1,11,1,9,1,13,1,10,1,8,1,9,2,6,1,11,1,9,1,11,1,8,1,16,1,11,1,9,2,10,1,11,2,13,2,9,5,11,1,13,1,9,1,8,1,9,1,13,1,8,1,12,1,13,1,8,1,9,2,13,1,12,1,10,1,9,1,11,1,9,1,16,1,11,1,8,2,9,1,8,1,9,1,8,1,9,1,10,1,8,1,10,1,9,1,16,1,8,1,16,1,11,2,9,2,11,1,16,1,11,2,9,1,11,1,16,3,11,2,16,1,11,1,16,1,11,2,16,1,9,1,10,1,9,1,11,1,9,1,16,1,6,1,7,1,6,2,30,1,6,1,7,1,6,1,7,1,13,1,7,1,8,1,13,2,9,1,8,1,9,1,11,1,9,1,13,1,6,1,30,1,13,1,29,1,6,1,29,1,8,1,13,1,6,1,13,1,7,1,13,4,9,1,8,1,9,1,13,1,8,1,9,2,13,1,9,5,13,1,16,1,10,1,8,1,9,2,10,1,8,1,9,1,16,1,17,1,10,1,16,1,11,3,17,1,16,2,9,1,16,1,11,2,16,1,11,3,9,1,11,1,8,2,9,1,11,1,8,2,9,1,10,1,8,1,10,1,9,4,8,1,11,1,9,4,13,1,9,2,8,1,11,1,9,1,8,1,10,1,11,1,9,1,10,1,13,1,11,1,10,1,9,1,11,1,9,2,10,1,9,1,8,1,9,1,8,1,10,1,8,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,2,16,1,11,2,9,1,11,1,9,1,11,1,9,1,11,3,10,1,9,3,11,1,9,2,13,2,9,3,8,1,13,2,29,1,6,1,13,1,6,1,28,25,30,1,17,6,11,1,12,1,11,1,10,1,9,2,10,1,9,1,10,1,9,1,11,1,17,7,11,1,17,2,12,3,10,1,12,1,11,1,9,1,12,1,8,2,9,1,13,1,6,2,7,1,13,1,29,1,28,1,29,1,28,1,30,1,28,4,30,1,28,1,29,3,28,1,6,1,30,2,28,19,6,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,7,1,8,1,6,1,13,2,8,1,13,3,8,2,13,2,8,1,12,1,8,1,13,1,8,3,6,1,24,1,6,1,8,1,13,2,8,1,9,1,7,1,6,1,13,2,7,1,8,1,6,1,7,1,6,1,13,2,8,1,6,2,7,2,6,1,7,1,30,1,28,3,30,1,6,2,28,1,6,1,30,1,13,1,6,1,30,1,28,1,6,2,29,1,30,1,13,1,28,1,30,1,6,1,30,1,13,1,7,1,29,1,6,1,30,1,7,2,6,2,13,1,6,1,8,1,7,1,8,1,7,1,13,1,9,1,7,1,13,3,6,1,9,1,30,1,7,1,13,1,6,1,13,3,6,2,13,2,11,1,17,1,16,1,11,1,17,4,16,2,11,1,16,1,11,2,16,1,11,2,16,1,13,1,29,1,13,3,9,3,8,2,13,5,30,1,28,1,30,1,6,2,30,1,28,1,6,1,28,4,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,1,7,1,28,38,30,1,7,1,13,1,8,2,9,1,13,1,8,1,12,1,9,1,10,1,13,2,7,1,6,1,7,1,28,1,29,1,6,2,29,1,6,2,30,1,6,1,12,1,17,19,12,2,9,1,24,1,11,1,9,1,17,1,12,1,17,22,11,1,9,1,11,2,17,3,16,3,9,1,16,1,11,1,16,3,11,2,9,2,11,1,9,1,16,1,9,1,16,1,11,1,16,1,9,2,11,1,9,4,13,1,11,1,9,5,11,1,13,1,9,2,13,2,9,1,11,1,9,1,16,1,11,1,9,2,13,1,9,1,11,1,16,1,9,1,16,1,11,1,9,1,16,2,10,1,16,4,11,1,16,6,17,6,16,1,30,2,6,1,30,1,6,1,30,1,6,1,30,5,6,1,30,5,28,1,30,3,6,1,30,5,6,1,30,7,6,1,30,2,6,9,7,1,13,1,6,2,30,2,29,1,28,1,30,1,28,1,6,1,30,2,6,1,30,4,6,1,30,1,28,1,7,1,6,1,30,1,6,4,30,2,29,1,30,7,6,2,28,1,30,3,6,1,30,6,6,1,30,1,6,1,30,2,6,1,30,1,28,1,30,6,7,1,30,1,6,1,30,9,28,1,30,5,28,1,30,5,6,1,30,1,29,1,30,2,29,1,6,4,30,2,28,1,6,1,17,1,6,1,30,1,28,1,30,1,28,4,30,2,6,1,28,2,30,3,6,1,13,1,28,2,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,2,28,1,30,3,28,1,6,2,30,2,6,1,30,1,29,1,30,2,6,3,30,1,6,2,30,1,6,2,30,5,29,1,30,1,29,1,30,1,6,2,29,1,30,3,7,1,6,3,13,2,6,5,30,1,6,1,30,3,6,2,30,1,6,2,30,2,6,1,30,1,6,4,30,1,6,2,30,5,6,10,7,1,6,6,13,1,6,4,29,1,6,2,30,1,6,1,13,1,7,1,6,4,30,1,6,1,7,1,29,1,30,2,7,1,6,1,30,1,6,5,30,1,6,3,29,1,7,1,6,2,30,1,6,1,29,1,13,1,29,2,6,3,13,1,29,1,30,2,6,5,29,1,30,1,6,1,29,1,30,1,13,1,30,1,13,1,6,1,13,2,8,2,9,1,6,5,30,1,29,1,28,2,6,1,30,1,28,2,30,1,28,1,30,1,6,1,28,1,30,2,29,1,30,1,6,1,30,5,28,2,6,1,28,2,30,2,28,3,30,1,28,2,30,1,28,5,30,1,28,7,30,1,29,1,6,1,28,2,13,1,28,2,6,1,29,1,11,1,16,1,8,1,10,1,16,1,17,1,9,1,16,1,9,1,11,2,16,2,17,1,9,1,16,1,17,2,11,2,9,1,16,1,9,1,8,1,24,1,9,1,12,1,17,1,9,1,11,1,12,1,8,1,29,1,13,1,24,1,10,1,12,1,9,2,10,1,17,1,12,1,11,1,12,1,11,1,12,1,11,1,9,1,11,1,9,1,16,1,11,1,17,2,16,1,17,5,11,1,16,1,11,1,17,2,11,1,17,2,12,1,9,1,10,2,9,1,12,1,9,1,11,3,12,2,9,1,12,1,8,1,9,1,10,1,12,2,11,1,12,1,9,2,8,1,9,1,11,1,8,1,17,1,10,1,9,1,10,1,9,3,13,1,9,2,8,1,9,1,8,1,10,2,12,1,17,1,10,1,12,1,9,2,11,1,12,1,17,4,11,1,9,1,12,1,11,1,12,1,11,2,9,1,12,1,9,2,17,1,11,5,10,1,12,1,9,1,10,1,9,2,10,1,11,1,17,2,12,2,24,1,6,1,7,2,28,1,30,2,27,2,29,1,28,1,6,1,29,1,27,1,6,1,7,1,6,1,29,2,30,1,29,1,7,3,30,1,29,2,30,1,6,2,25,1,30,1,28,1,6,1,29,5,27,2,6,1,25,5,6,2,8,2,6,1,8,2,25,1,8,5,24,1,10,1,12,1,25,1,8,2,12,1,8,2,24,1,8,1,12,1,10,1,24,1,10,2,24,3,8,1,10,1,13,1,17,1,24,1,8,1,12,2,8,1,24,1,10,2,8,1,12,2,17,1,24,2,10,1,12,1,24,1,10,1,25,1,24,2,12,1,8,1,12,1,7,1,8,2,25,2,6,2,7,2,6,2,29,1,6,1,28,1,29,2,7,1,6,2,7,2,24,2,8,1,7,3,25,1,13,1,8,1,29,1,28,20,8,1,9,1,8,2,12,1,13,1,9,1,10,1,8,2,24,2,7,1,24,1,13,1,24,1,8,1,24,1,8,1,24,1,8,1,17,1,13,1,24,1,12,1,8,4,24,1,12,1,24,2,12,3,10,1,24,1,8,2,13,3,24,2,9,1,8,2,24,2,8,3,13,3,8,2,13,1,7,1,24,1,10,1,24,1,9,1,24,1,12,1,8,1,10,2,12,1,8,1,9,1,13,1,9,1,12,1,24,1,10,1,12,2,10,1,24,1,12,1,17,1,24,1,12,1,8,1,12,1,24,4,8,1,24,1,8,1,24,1,25,1,24,2,12,1,10,1,24,3,8,1,9,1,24,1,9,1,17,3,12,4,17,6,12,1,17,4,10,1,17,1,12,3,11,2,17,1,28,2,13,1,8,1,13,1,28,29,6,1,13,2,6,1,29,1,13,1,7,1,13,4,8,2,29,1,7,3,9,1,13,3,12,1,9,1,13,1,8,1,13,2,24,1,7,1,11,1,9,1,24,1,9,1,17,1,11,1,17,4,12,1,17,4,11,1,10,1,11,1,17,1,9,1,13,1,9,1,13,1,6,2,9,1,8,1,7,1,13,1,8,1,13,1,30,1,13,7,10,1,6,1,9,2,6,1,8,1,6,2,13,1,6,1,9,1,10,1,9,2,8,1,7,1,6,1,30,1,28,1,30,1,28,31,6,1,13,5,9,1,8,1,13,1,8,1,13,4,8,1,13,5,28,1,13,1,7,1,13,1,9,1,8,1,29,1,13,2,6,1,30,1,13,1,30,1,13,2,30,1,9,1,29,1,6,1,13,2,8,1,13,3,9,1,13,3,6,1,13,1,6,1,13,6,9,1,13,9,6,1,13,2,8,1,9,1,13,1,9,1,10,1,9,4,13,1,8,1,13,2,8,1,13,1,6,1,9,1,13,1,8,1,7,1,6,1,13,1,6,1,7,1,6,2,13,1,30,1,6,1,13,1,7,1,6,1,13,1,7,1,6,1,13,1,6,2,13,1,30,1,6,1,28,1,30,1,28,28,30,1,6,1,30,1,28,9,14,2,11,1,17,1,11,1,8,2,6,1,7,1,6,1,29,1,6,3,29,1,6,1,29,1,6,1,13,1,8,1,6,1,8,1,9,1,11,2,17,3,24,1,28,7,30,1,10,1,8,1,13,1,28,36,6,1,24,1,13,1,6,1,28,2,6,1,9,1,8,1,13,1,6,2,28,3,30,1,28,1,6,1,7,1,13,1,24,1,9,1,13,1,28,5,13,1,8,1,13,1,6,1,28,1,30,1,28,1,29,1,7,1,13,1,8,2,10,1,15,1,12,3,8,1,29,1,6,1,30,1,15,1,9,2,29,1,28,3,6,1,10,1,28,51,9,1,17,1,8,1,6,1,}, {28,32,6,2,28,6,30,1,9,1,7,1,30,1,7,1,11,1,10,1,9,1,24,1,8,1,13,2,28,1,29,1,6,1,13,1,8,1,15,1,11,1,30,1,28,6,24,1,8,1,29,1,6,1,28,1,29,1,28,8,30,1,6,1,24,1,9,1,28,41,29,1,28,3,30,1,7,1,29,1,6,1,13,1,24,1,8,1,13,1,6,1,28,1,6,1,7,1,8,1,17,1,24,1,13,1,30,1,6,1,28,1,6,1,29,2,6,1,30,1,28,8,29,1,13,1,8,1,24,1,7,1,28,6,10,1,12,1,10,1,9,3,13,1,8,1,13,1,8,1,9,1,8,2,12,1,24,1,15,1,24,1,30,1,7,1,6,1,7,1,29,1,30,1,28,35,30,1,28,2,30,1,28,1,24,1,7,1,28,3,30,1,28,1,6,1,24,2,10,1,24,2,8,2,13,1,29,2,28,2,29,1,7,1,29,1,30,1,29,1,28,1,29,1,6,1,29,1,13,1,29,1,13,1,24,2,8,1,17,4,7,1,28,15,29,1,13,1,6,1,7,1,29,1,7,1,6,1,30,1,6,1,30,1,13,1,28,1,6,1,30,1,28,4,6,1,13,2,11,1,8,1,9,1,16,1,9,4,11,1,9,3,16,1,9,5,11,1,9,1,17,1,13,1,11,1,8,1,11,1,9,1,10,1,13,1,9,4,13,4,9,1,11,1,8,1,11,1,8,2,11,1,9,2,11,5,9,3,11,2,9,2,13,1,9,1,10,1,8,1,9,2,8,1,12,1,9,2,16,1,8,2,16,1,8,1,9,3,13,1,9,1,10,1,13,1,16,1,8,1,9,1,11,2,9,2,11,2,9,1,8,1,16,1,9,1,11,2,10,1,11,1,16,1,9,1,11,1,13,1,11,1,16,1,11,3,9,1,11,1,16,2,13,1,16,1,9,2,16,2,11,2,16,1,8,1,28,1,13,2,6,1,13,1,6,1,13,1,30,1,13,1,6,1,7,1,8,1,9,1,13,1,9,3,8,2,13,1,30,2,6,5,8,1,6,1,8,2,13,2,9,1,13,1,7,1,8,1,13,2,9,1,8,2,13,1,8,1,11,1,8,1,12,1,11,1,9,1,16,1,17,1,10,2,9,1,13,1,9,1,17,2,10,2,11,2,16,1,11,3,10,1,16,1,11,1,9,1,11,1,16,1,9,1,10,1,9,1,11,1,9,2,11,2,8,1,9,2,13,1,9,1,8,2,11,1,9,2,16,1,9,2,10,1,9,6,10,1,8,2,9,3,10,2,9,3,10,1,9,1,10,1,9,2,10,1,11,2,9,2,11,1,9,5,11,1,9,3,11,1,10,1,11,4,10,1,9,1,11,1,9,1,16,1,9,4,11,1,9,1,13,1,8,1,11,1,9,2,8,1,9,1,6,1,24,1,8,1,7,1,13,1,30,1,29,1,28,1,30,1,28,22,8,1,17,4,12,1,10,1,9,2,11,1,8,1,12,1,9,1,8,1,24,1,10,1,8,1,11,1,9,1,16,1,12,1,17,7,12,1,17,1,12,1,11,1,17,2,11,1,10,1,9,1,8,1,24,1,9,1,13,1,8,1,7,1,28,3,29,1,28,1,30,1,28,3,30,1,28,3,30,2,29,1,6,1,28,1,30,1,28,2,30,1,28,16,30,1,28,1,30,1,29,1,28,1,29,1,6,2,7,1,6,2,7,1,6,1,13,1,6,1,7,1,13,3,24,1,6,1,13,1,6,2,9,1,8,1,13,3,8,1,13,2,8,1,12,1,8,2,13,1,6,1,13,1,6,1,8,1,13,2,6,1,13,2,7,1,6,1,13,1,6,1,7,1,28,1,13,2,6,1,13,1,29,1,7,1,30,1,6,1,30,1,6,1,29,1,28,3,30,5,28,1,30,1,28,1,6,1,30,1,6,1,7,1,30,3,29,1,6,1,7,1,28,1,6,1,28,1,13,1,7,1,13,2,6,1,8,2,7,2,6,1,7,2,13,1,7,1,6,2,8,1,6,4,13,1,7,1,9,1,13,1,16,1,17,5,16,1,11,1,17,1,16,1,17,1,16,1,17,2,16,3,6,1,8,1,9,1,8,1,10,1,9,5,13,2,8,1,6,1,29,1,9,1,6,1,30,2,6,2,28,1,6,1,30,1,29,1,30,2,28,1,30,4,28,1,29,1,30,1,28,1,30,1,29,1,6,1,30,1,28,35,29,1,6,2,13,2,9,1,8,1,9,3,13,1,7,1,8,1,6,1,7,1,6,1,13,1,6,1,7,1,6,2,30,1,13,1,7,2,11,1,17,19,16,1,17,29,16,1,11,1,17,5,16,1,11,1,16,1,11,2,16,1,11,2,16,1,11,1,9,1,16,1,9,2,11,2,16,2,11,1,9,1,16,1,9,1,16,1,9,2,11,1,9,1,11,2,9,5,16,1,9,3,13,1,9,3,16,1,11,3,9,1,16,2,11,5,9,1,16,2,11,4,16,1,11,2,16,6,17,5,9,1,28,2,13,1,28,2,30,5,6,1,30,3,28,1,30,4,6,1,30,1,6,1,30,3,6,1,30,1,6,2,28,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,3,28,2,29,1,6,2,13,2,6,1,30,4,6,1,28,1,7,1,30,2,28,1,30,2,28,1,30,1,28,2,6,3,28,1,7,1,30,2,29,1,30,6,6,2,29,1,6,1,30,1,6,1,30,1,29,1,28,1,30,3,6,1,30,3,6,1,30,1,6,1,30,2,6,2,30,2,6,1,30,2,6,2,28,1,30,1,6,1,29,1,28,1,30,1,28,1,30,5,28,1,30,10,6,1,28,1,6,1,30,5,29,2,30,5,6,1,13,1,28,1,30,3,6,1,30,1,6,1,28,1,30,3,28,1,30,7,28,2,6,3,30,2,6,2,29,2,28,1,29,1,30,2,6,2,30,1,6,3,30,1,28,1,6,3,30,1,13,1,6,2,30,2,6,1,30,4,6,1,30,1,29,1,6,7,28,1,30,1,13,2,29,1,13,1,30,1,29,1,30,1,6,1,28,2,30,1,28,1,6,1,30,3,6,7,30,1,6,2,30,1,6,1,30,1,6,3,30,1,29,1,30,1,29,1,30,1,6,1,13,1,6,3,30,1,13,1,6,1,13,1,6,4,13,1,6,1,13,1,6,2,30,1,6,1,13,1,6,5,13,1,9,1,13,1,6,3,30,1,6,1,30,1,13,1,30,3,6,1,30,1,6,1,29,1,30,2,6,2,30,3,28,1,6,1,29,1,30,2,6,2,13,1,30,1,6,1,30,1,7,1,13,1,30,1,6,2,30,1,29,1,30,4,29,1,30,3,29,1,7,2,13,2,7,1,13,1,11,1,13,2,7,1,29,1,6,4,29,1,30,1,6,3,30,1,7,1,30,2,29,1,30,1,28,2,30,3,29,1,28,2,30,4,28,2,30,1,28,1,30,1,28,7,6,1,28,1,30,2,28,1,30,1,28,1,29,1,30,1,28,6,30,1,28,3,30,1,6,1,29,1,13,1,9,2,12,1,9,1,16,1,17,2,11,1,16,1,11,1,16,1,11,2,16,2,11,1,17,2,12,1,11,2,10,1,11,1,24,2,8,3,17,1,12,1,11,1,12,1,9,1,6,1,13,2,9,2,17,2,12,2,11,1,10,1,16,1,11,1,12,1,10,1,9,1,16,2,17,1,16,1,17,1,16,1,11,2,17,2,16,1,17,1,11,1,16,1,11,1,17,1,11,2,12,1,11,1,17,1,12,1,11,1,12,1,9,1,10,1,12,1,10,2,11,1,12,1,11,1,10,1,12,1,10,1,11,1,10,1,12,1,11,1,9,1,11,2,9,1,10,2,8,1,9,1,12,1,9,1,10,1,13,1,9,1,11,1,10,1,8,1,11,1,10,1,9,1,11,1,9,1,10,1,11,1,9,3,17,1,11,2,12,1,17,1,10,1,11,1,17,1,10,2,11,1,10,1,12,1,11,1,12,1,9,1,11,1,10,1,11,1,12,1,11,2,10,1,11,1,12,1,10,3,12,1,9,1,12,1,10,1,12,2,11,1,17,2,10,1,9,1,7,2,29,2,28,1,30,1,29,1,28,2,29,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,7,2,29,1,28,1,30,1,29,1,6,1,29,1,6,2,26,1,28,1,26,1,27,3,29,1,6,1,25,1,27,1,6,1,29,1,27,1,30,1,26,1,30,1,8,2,25,2,27,1,25,1,24,1,26,1,8,1,25,1,8,1,10,1,24,1,8,1,24,3,17,1,8,1,24,1,10,2,8,1,12,1,8,1,10,1,24,4,12,1,8,1,24,1,10,3,24,1,10,1,9,1,10,1,24,2,12,4,24,1,12,1,8,3,7,1,24,1,8,1,24,1,8,1,10,1,6,1,25,1,24,2,12,2,13,2,7,1,25,1,7,1,27,1,25,1,29,1,13,1,6,3,30,1,6,2,13,1,6,2,7,1,29,1,8,1,6,1,7,4,13,1,7,1,24,1,7,1,8,1,28,19,7,1,9,1,8,1,10,1,9,2,24,2,8,1,24,3,13,1,8,1,10,1,25,1,12,1,7,1,8,1,13,1,8,1,24,1,13,1,24,1,10,1,13,1,24,1,8,2,7,1,12,1,24,1,7,1,10,1,24,3,8,1,13,1,24,1,8,1,13,1,24,1,10,1,24,1,13,1,24,1,13,1,8,1,24,1,8,1,13,1,24,1,6,1,7,1,13,2,8,1,13,1,8,1,24,1,8,1,24,1,8,1,10,2,24,2,10,1,24,1,17,1,13,1,10,1,8,1,12,2,7,1,12,3,9,1,12,2,17,1,9,1,24,1,8,1,24,3,25,1,7,1,24,2,8,1,24,1,8,1,10,1,24,2,25,1,10,1,8,1,24,3,12,2,17,4,12,3,17,3,12,1,17,3,12,1,9,1,17,2,12,1,17,1,10,1,12,1,17,1,12,1,17,2,29,1,28,1,13,1,9,1,6,1,28,30,30,2,6,1,28,1,30,1,6,1,7,1,6,1,13,1,8,1,13,2,8,1,7,1,13,1,7,1,13,2,24,1,9,1,13,1,8,1,7,1,8,3,24,1,8,2,9,1,10,1,8,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,2,16,1,17,1,10,1,9,1,11,1,8,1,9,1,13,1,9,1,13,6,8,1,13,1,6,1,9,1,8,1,13,4,6,1,13,2,8,1,13,7,9,3,13,2,30,2,6,1,28,1,30,1,28,31,13,3,6,1,13,1,6,1,8,1,13,6,30,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,8,1,13,4,6,1,13,5,30,1,6,1,13,1,30,1,13,1,29,1,13,4,9,1,13,3,9,1,13,2,7,1,8,3,6,1,13,4,8,1,13,3,6,1,13,4,30,1,6,1,13,1,8,1,13,2,9,1,13,1,9,2,8,2,13,4,6,2,13,5,6,2,13,2,7,1,13,1,6,1,7,1,30,2,13,1,6,3,7,1,13,3,6,1,13,1,30,1,13,1,28,1,30,1,28,29,30,1,28,1,30,1,28,7,6,1,14,1,15,1,17,1,15,1,12,2,9,1,13,3,6,2,28,1,6,1,30,2,13,1,6,1,28,1,13,1,6,1,8,1,24,1,9,2,17,1,10,1,17,1,8,1,28,8,8,1,9,1,7,1,28,36,30,1,24,1,7,1,30,1,28,1,6,1,8,1,13,1,8,1,7,1,13,1,29,2,28,1,30,3,13,1,8,1,24,1,8,1,24,1,6,1,30,1,28,2,30,2,13,1,9,1,12,1,28,2,30,1,28,1,30,1,6,1,8,1,13,1,24,1,9,1,11,1,24,1,15,1,24,1,13,1,30,1,6,1,13,1,9,1,11,1,8,1,30,1,28,2,29,1,7,1,10,1,6,1,28,49,7,1,11,1,9,1,13,1,28,1,}, {28,33,30,1,28,6,13,1,8,1,6,1,13,2,9,1,11,1,24,4,13,1,30,2,29,1,7,1,9,1,14,1,9,1,6,1,30,1,28,4,29,1,8,1,13,1,24,1,8,1,29,1,28,11,9,1,8,1,29,1,28,39,30,1,28,4,29,1,28,1,30,1,29,1,13,1,24,1,10,1,13,1,29,1,7,1,13,2,8,1,17,1,12,1,28,1,30,1,7,1,6,3,29,1,6,3,28,7,29,1,7,1,8,1,9,1,8,1,28,6,24,1,10,1,12,1,10,1,24,1,13,1,8,2,9,1,8,1,24,5,14,1,9,1,6,2,30,2,6,1,7,1,28,34,30,1,28,3,29,1,13,2,9,1,28,4,30,2,8,1,15,1,10,1,8,1,24,2,8,1,24,1,6,3,29,1,28,1,30,1,6,1,30,1,28,2,30,1,28,1,29,1,30,1,13,2,8,1,24,1,9,1,17,4,13,1,28,14,6,1,29,2,6,1,30,2,6,2,7,2,28,1,30,1,29,1,28,6,6,1,13,1,9,2,8,1,9,1,11,4,10,1,9,1,16,1,13,1,9,1,11,1,9,2,10,1,9,1,16,1,11,1,8,1,9,3,13,1,10,1,9,3,8,2,11,1,13,1,9,1,6,1,9,4,13,1,9,2,11,1,9,1,11,1,9,2,17,1,8,1,9,3,8,1,11,1,8,1,9,2,10,1,8,1,11,1,9,3,13,1,11,1,9,5,8,1,17,1,10,1,9,4,16,2,9,4,13,1,9,1,8,1,11,1,17,1,9,3,17,1,9,1,16,1,11,1,9,2,11,1,8,1,9,2,11,1,8,1,17,1,16,1,11,3,16,1,9,2,10,1,11,1,9,2,16,1,9,1,11,1,8,1,9,1,13,1,6,2,13,1,29,1,7,2,6,1,30,1,13,1,7,2,13,1,6,1,9,1,8,1,9,1,10,1,9,1,30,1,6,1,29,1,30,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,8,1,13,1,7,1,9,1,8,1,7,1,13,2,9,2,12,1,8,1,13,1,9,2,10,1,16,1,10,1,9,1,16,2,11,1,8,1,6,1,10,1,17,1,11,1,16,2,11,1,17,1,11,1,16,1,9,1,11,4,16,1,11,2,9,1,11,1,9,6,13,1,11,1,9,3,8,2,16,1,13,1,16,1,9,7,13,1,11,1,9,10,11,2,9,1,13,1,10,1,9,2,11,1,8,1,11,1,9,1,10,1,11,1,10,1,9,2,11,1,9,2,11,3,9,1,16,1,9,1,11,2,9,1,10,3,16,1,10,1,11,2,8,2,9,2,8,1,9,4,13,1,8,1,13,1,8,1,29,1,30,6,28,21,9,1,12,2,17,2,9,1,10,1,9,2,10,2,8,1,13,1,9,2,11,1,13,1,11,1,13,1,10,1,11,2,17,5,11,1,17,1,12,1,11,1,12,1,17,1,10,1,17,1,12,1,24,1,9,1,13,1,8,2,7,1,6,3,13,1,28,1,6,1,28,1,6,1,28,2,6,1,28,3,30,2,6,1,30,1,6,1,30,1,28,2,29,1,28,21,29,2,28,1,29,2,6,1,7,1,29,1,13,1,7,1,13,1,7,1,30,1,8,1,30,1,13,1,10,1,13,2,10,1,9,2,24,1,7,1,13,1,24,2,13,2,6,1,13,1,8,1,6,1,8,1,7,1,13,1,6,1,24,1,7,1,29,1,7,1,6,1,13,1,7,2,30,1,13,1,7,1,30,1,6,2,30,1,6,2,29,1,28,1,29,1,30,2,28,2,30,1,29,1,28,1,29,2,28,1,6,1,28,1,29,2,30,1,6,1,7,1,28,2,6,1,7,1,6,1,28,1,7,1,13,2,6,1,7,2,6,1,13,1,29,1,6,1,13,2,7,1,13,1,30,1,7,1,6,1,28,1,29,1,7,1,6,1,30,1,13,1,7,1,6,2,13,1,6,1,11,1,16,1,17,4,16,1,17,3,16,1,17,1,11,1,16,2,10,1,9,1,13,1,9,2,8,1,9,2,10,1,9,1,8,2,9,2,13,2,6,5,29,1,30,1,6,1,30,1,28,4,30,1,28,1,30,1,28,2,30,3,28,1,6,1,30,3,28,1,30,1,28,2,30,1,28,30,30,2,13,5,9,1,8,2,24,1,13,1,8,1,6,1,30,1,6,5,7,1,6,1,7,1,6,1,17,25,16,1,17,24,11,1,16,1,17,4,16,3,11,1,16,1,11,4,16,2,11,1,9,1,11,1,16,1,9,5,11,1,16,1,9,1,16,1,11,1,9,3,13,1,9,2,13,1,9,1,13,1,9,9,11,1,9,1,11,1,9,1,11,3,9,1,11,6,9,1,16,3,11,2,16,7,17,6,9,1,28,1,6,1,13,1,6,1,30,5,6,1,30,2,28,1,30,1,28,1,30,2,6,1,30,2,6,3,30,2,13,1,6,2,30,2,6,1,30,2,6,1,30,5,6,1,29,1,30,1,6,1,28,1,30,3,6,1,29,1,13,1,16,1,28,1,30,1,29,1,28,2,30,1,28,1,30,4,28,1,30,2,6,2,29,1,13,2,30,1,6,2,30,1,6,1,30,3,29,1,6,1,30,2,6,2,30,1,6,1,30,1,29,1,30,3,6,1,30,2,28,1,29,1,30,2,28,1,30,4,6,2,30,5,6,1,30,2,6,1,30,3,29,1,30,1,29,1,30,3,29,1,28,1,30,3,29,1,28,1,30,3,28,1,30,2,6,1,30,2,29,1,30,4,6,1,30,1,28,2,30,1,28,1,6,1,13,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,29,1,30,4,28,1,6,1,30,2,6,1,30,4,28,1,6,1,30,1,28,2,30,1,29,1,6,2,30,1,6,5,30,1,6,1,30,1,6,3,29,1,30,2,6,1,30,1,6,1,28,2,6,1,30,2,29,1,6,1,28,1,30,1,7,1,6,1,13,1,6,1,13,1,6,2,30,2,6,4,13,1,6,1,28,1,30,1,29,1,28,1,30,1,6,1,30,2,29,1,30,2,6,5,30,1,6,1,13,1,30,1,29,1,6,3,30,2,6,3,30,3,6,3,13,1,29,1,6,3,30,1,6,2,7,1,30,1,6,1,30,1,6,2,30,1,6,1,30,2,29,1,30,1,6,1,30,1,13,3,30,1,6,2,29,1,30,1,6,2,30,1,6,3,30,1,6,8,30,1,6,3,30,1,6,1,28,1,6,1,30,1,6,2,30,2,6,1,30,1,6,2,29,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,13,2,30,1,6,1,13,1,9,1,11,1,13,1,7,1,30,1,6,1,30,1,13,1,6,1,30,3,6,1,30,4,28,1,6,1,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,1,30,5,28,1,30,3,28,2,30,2,28,1,30,2,28,1,30,3,28,1,30,1,28,2,6,1,28,5,6,1,28,2,6,1,7,1,13,1,8,1,12,1,10,1,9,1,17,1,10,1,16,1,17,1,9,2,11,2,10,1,11,1,16,1,9,1,10,1,8,1,16,1,17,1,9,1,11,2,9,1,10,1,9,1,8,3,24,1,8,1,12,1,9,1,11,1,10,1,24,1,13,1,30,1,8,2,9,1,10,1,9,1,24,1,12,1,9,1,17,1,12,1,17,1,11,2,16,1,12,1,16,1,17,1,16,2,9,1,16,1,17,2,16,4,17,2,12,1,17,2,11,1,12,1,17,1,9,2,12,1,17,1,10,1,9,2,11,1,9,1,12,1,9,1,17,1,12,2,9,1,11,1,12,1,9,4,12,1,9,5,11,1,9,1,11,1,10,1,9,2,10,1,9,1,12,1,9,3,10,1,12,1,17,1,12,1,11,1,17,1,9,1,11,1,17,2,11,1,17,1,11,1,17,1,11,1,9,2,11,1,12,1,10,1,11,1,10,1,11,1,9,1,10,2,12,1,17,1,11,1,9,1,10,1,12,1,9,2,8,1,12,1,11,2,17,3,12,1,8,1,13,1,7,1,29,3,27,1,29,1,28,1,30,1,28,1,30,1,6,2,29,2,6,1,8,1,29,2,6,1,7,1,29,1,6,1,25,2,30,1,29,2,27,1,29,2,27,1,28,1,6,1,30,1,29,1,6,1,8,1,26,1,25,1,30,2,27,1,25,1,24,1,6,1,25,2,8,2,25,1,7,1,24,1,7,1,25,1,24,3,12,1,8,1,24,3,8,1,24,1,8,1,24,1,7,1,24,1,10,1,7,1,8,1,12,1,24,2,12,1,24,3,10,2,12,1,8,1,12,1,10,1,24,1,12,1,24,1,10,1,24,1,10,1,8,1,24,1,10,1,8,1,24,2,8,1,17,1,8,1,24,2,12,1,8,1,25,1,7,2,29,1,8,1,25,1,26,1,6,4,30,1,28,1,29,2,6,1,30,2,7,1,29,1,30,1,6,1,7,2,24,1,6,1,13,2,7,1,29,1,24,1,12,2,25,1,28,18,13,1,24,3,13,1,24,2,8,1,9,1,8,1,10,2,8,1,24,2,13,1,24,2,8,1,24,3,8,1,13,2,24,1,13,1,10,1,8,1,24,1,8,1,24,1,10,2,24,1,8,1,17,1,8,1,10,1,13,2,24,2,8,1,13,1,24,1,8,1,24,1,13,2,8,1,24,1,13,2,8,2,6,1,7,1,13,1,8,2,24,4,8,1,24,1,8,1,17,1,10,1,24,1,9,1,24,2,17,1,24,1,12,3,24,1,10,1,17,1,24,1,10,1,24,1,10,1,12,1,10,1,8,3,25,1,8,1,24,1,12,1,10,1,8,2,24,1,8,3,7,1,12,3,10,1,12,1,10,1,17,1,12,1,17,2,12,1,17,1,12,1,17,3,12,1,17,5,11,1,17,2,12,2,17,2,11,1,17,1,8,1,9,1,13,2,28,37,30,1,6,1,29,1,7,1,13,1,7,1,13,3,6,1,13,2,7,1,9,1,13,1,8,1,13,1,7,1,9,1,13,2,7,1,8,1,24,1,9,1,11,2,12,1,17,1,12,1,17,7,11,1,9,1,17,1,10,1,11,1,9,1,11,1,13,2,10,1,13,3,8,1,30,1,13,1,7,1,13,3,6,1,13,1,28,1,13,1,9,1,13,2,7,1,8,1,9,1,8,1,13,1,6,2,9,1,11,1,9,1,13,1,6,1,28,1,30,1,28,2,30,1,28,31,13,8,9,1,8,1,9,1,13,2,6,1,13,5,30,1,7,2,13,2,30,1,13,2,7,1,13,1,6,1,13,4,8,1,13,2,30,1,13,5,9,1,8,1,13,1,8,1,6,1,8,2,13,3,7,1,13,1,6,1,13,5,8,1,13,3,8,1,13,2,30,1,13,1,30,1,6,1,7,1,13,2,9,1,6,1,13,3,6,1,13,1,7,1,6,1,13,1,30,2,13,1,6,3,13,1,6,1,13,2,6,1,30,2,6,1,30,1,6,2,28,1,13,2,9,1,28,1,13,1,6,2,13,1,6,1,28,1,13,1,28,29,13,1,30,1,28,7,30,1,13,1,14,3,12,1,11,1,9,1,8,1,13,3,30,1,6,1,30,1,28,1,30,1,29,1,6,2,7,1,6,1,13,1,24,1,8,1,17,1,9,1,16,1,11,1,17,1,13,1,28,7,13,1,24,1,9,1,8,1,28,2,30,1,28,33,13,1,8,1,13,1,30,1,28,2,13,1,8,2,13,2,30,1,29,1,28,1,30,1,28,1,6,1,13,1,6,1,9,1,10,2,6,1,30,1,28,2,30,1,28,1,8,1,9,1,8,1,28,4,30,1,29,1,13,1,9,3,11,1,9,2,8,1,13,1,6,2,29,1,14,1,9,1,10,1,13,1,28,3,13,1,24,1,29,1,28,25,30,1,28,23,29,1,8,1,10,1,13,1,28,1,}, {28,39,7,1,9,1,8,1,13,1,6,1,9,1,10,1,12,1,10,1,8,1,9,1,7,2,6,1,30,1,13,1,7,1,10,1,17,1,10,1,8,1,28,6,15,1,8,3,30,1,28,10,6,1,24,1,8,1,29,1,28,39,30,1,28,3,29,1,7,1,28,2,6,1,30,1,24,1,10,1,6,1,13,1,6,1,13,3,17,2,6,1,7,1,29,1,7,1,30,1,6,1,28,1,29,2,28,1,29,1,28,6,30,1,6,1,8,1,15,1,13,1,28,5,30,1,8,1,12,2,8,4,9,1,8,1,9,1,8,1,24,1,9,1,8,1,24,1,10,1,24,1,29,1,13,1,29,1,6,1,30,1,28,37,29,1,6,1,7,1,13,1,24,1,8,1,28,4,29,1,13,1,9,1,15,1,9,1,12,1,24,1,9,1,8,3,29,2,6,1,30,2,6,1,28,2,29,1,30,1,6,1,28,1,6,2,13,2,9,1,10,1,11,1,17,3,8,1,28,15,13,1,28,1,29,1,30,1,6,1,30,1,29,1,13,1,28,1,6,1,7,1,6,1,28,1,13,1,29,1,28,4,29,1,9,2,8,1,9,1,11,1,9,1,11,1,9,3,16,1,8,1,17,1,9,2,8,1,9,1,8,2,13,1,9,2,8,1,9,1,16,2,8,2,16,1,8,1,9,1,8,1,13,2,8,1,9,1,13,4,9,3,13,1,11,1,9,1,11,1,9,1,10,1,9,1,8,1,9,1,8,1,17,1,13,1,11,2,12,1,10,1,8,1,17,1,8,1,10,2,11,2,8,1,9,1,10,1,11,3,9,1,16,1,13,1,8,2,13,1,8,1,13,1,6,1,8,1,9,1,13,1,11,1,9,3,16,1,11,2,16,1,17,1,10,1,9,1,11,1,9,2,10,1,11,1,9,1,11,1,9,1,16,3,11,1,10,1,16,1,9,1,16,3,9,2,16,1,9,2,11,1,13,1,29,1,13,1,6,1,29,1,30,1,6,1,29,1,7,1,13,1,29,1,30,1,7,1,29,1,8,1,9,1,11,2,12,1,10,1,6,1,30,1,6,2,29,2,13,1,6,1,13,2,7,2,30,1,8,2,9,1,13,2,9,1,8,1,13,1,9,2,16,1,9,2,13,1,10,2,9,2,17,1,9,1,16,1,9,1,12,1,11,1,16,1,17,1,10,1,16,1,17,1,11,1,10,1,16,1,11,1,16,1,11,2,9,1,10,2,16,1,9,1,16,1,13,2,11,1,9,1,13,1,8,1,9,1,8,1,9,1,8,2,9,2,8,1,11,1,9,1,10,1,13,1,9,1,8,1,9,2,13,1,9,2,11,1,9,1,11,1,13,1,8,1,11,1,10,1,8,1,9,2,11,1,8,1,10,1,11,1,9,1,8,1,9,5,11,1,10,1,11,1,9,1,8,1,11,1,10,1,9,3,8,1,9,2,11,2,10,1,11,5,16,1,10,1,9,3,8,1,9,2,8,2,10,1,9,2,8,3,6,1,30,1,7,1,6,2,28,24,10,1,17,2,12,1,9,1,12,1,9,1,12,1,10,1,24,1,8,1,10,1,8,1,9,2,24,1,8,2,13,1,9,1,11,1,17,1,11,1,17,4,16,1,11,1,17,2,9,1,17,2,11,1,12,1,10,1,9,1,24,1,13,1,7,1,29,1,7,1,8,1,6,1,7,1,29,1,6,1,29,1,7,1,13,1,6,1,30,1,28,2,6,1,28,1,30,1,6,1,7,2,29,1,6,1,28,22,30,1,28,2,7,1,29,1,13,1,7,1,6,1,7,1,6,1,29,1,13,1,29,1,6,2,8,1,7,1,6,1,8,1,9,1,8,1,13,1,24,1,8,1,7,1,9,1,7,1,13,1,6,1,7,1,6,1,29,1,6,1,8,1,13,1,6,1,7,1,13,1,7,1,8,1,6,1,8,1,6,1,13,1,30,1,13,1,8,1,29,1,30,1,6,1,30,8,28,1,6,1,30,1,28,7,30,1,28,2,6,1,28,1,7,1,29,1,13,1,6,1,13,1,29,1,7,1,13,1,6,1,28,1,7,1,28,1,13,1,7,1,29,1,13,2,6,1,13,1,8,1,6,2,13,1,6,1,13,1,29,1,30,1,13,1,7,1,28,1,6,1,30,1,13,4,8,1,11,1,17,2,16,1,17,5,16,2,9,1,16,2,13,1,8,1,13,1,9,1,11,1,9,1,11,1,8,1,16,1,13,1,11,1,9,1,13,1,8,1,6,1,13,1,6,1,13,1,7,2,6,3,7,1,30,1,28,1,7,1,30,1,28,3,30,2,28,1,29,1,30,2,28,1,29,1,30,1,29,1,28,1,13,1,30,1,28,2,30,1,28,30,30,1,28,1,6,2,9,1,7,1,9,1,13,1,9,3,13,3,8,1,28,1,7,1,6,2,30,1,6,3,13,1,17,50,11,1,17,5,16,1,11,2,16,1,11,4,16,1,11,1,16,1,11,2,16,1,9,1,16,1,9,1,11,3,9,1,11,1,16,1,9,1,16,1,11,2,9,1,11,1,9,2,11,1,9,7,11,1,9,1,16,1,11,1,16,1,11,2,16,1,11,1,9,2,11,6,16,1,11,1,16,1,10,1,16,1,11,1,16,1,11,1,16,3,17,1,11,1,16,2,17,5,6,2,7,1,28,1,6,2,30,2,6,1,28,1,6,4,30,1,6,1,30,2,6,1,30,1,6,2,30,2,6,1,30,2,28,1,30,2,6,1,30,2,6,1,30,2,29,1,6,1,7,1,6,1,30,1,7,1,30,1,6,1,30,1,6,1,30,2,7,1,13,1,6,1,9,1,28,1,6,1,30,6,6,1,28,1,6,1,30,3,13,2,6,1,28,1,6,1,30,1,29,1,30,3,6,2,30,3,6,1,30,2,29,2,30,1,6,1,30,2,6,1,30,3,28,1,30,4,6,1,30,2,28,1,30,7,28,1,30,3,28,1,30,1,28,1,30,4,28,1,30,2,6,1,30,1,6,1,28,1,30,1,29,1,28,1,30,1,28,1,30,3,29,1,30,2,28,1,30,2,6,1,30,6,28,1,30,2,6,2,30,1,28,2,30,3,28,1,6,1,30,7,28,1,6,1,30,2,6,1,30,1,6,1,30,1,29,1,6,2,30,5,6,5,30,1,29,1,30,1,6,1,30,1,13,1,6,4,30,1,28,1,6,3,30,1,28,1,30,2,29,1,6,1,30,2,6,2,29,1,6,1,13,1,6,4,13,2,30,1,13,1,6,1,30,3,6,1,28,2,30,2,6,3,30,3,6,3,28,1,6,1,30,1,6,1,30,2,6,1,30,3,6,1,28,2,30,1,6,2,30,2,6,3,30,1,6,1,28,1,6,2,30,1,6,5,30,1,6,2,30,4,6,2,30,1,13,1,6,2,30,1,6,1,30,2,6,4,13,1,29,1,6,1,13,1,6,6,28,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,30,3,6,1,30,2,6,1,30,1,28,1,30,1,6,1,28,1,30,1,6,2,13,1,30,1,6,3,9,2,30,1,28,1,30,1,6,2,30,2,6,1,30,5,28,4,30,2,28,2,30,5,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,4,28,3,30,1,28,1,30,11,6,1,28,1,6,1,13,1,28,2,29,1,6,2,13,1,11,1,9,2,16,1,9,1,11,1,17,2,11,1,16,2,9,1,11,2,9,1,10,1,11,1,10,1,12,1,11,1,16,1,11,2,9,1,16,1,13,1,8,1,13,2,24,1,12,1,10,1,9,1,11,1,10,1,9,1,8,1,7,1,13,1,29,1,8,1,9,1,12,1,9,2,10,1,16,1,9,1,11,2,17,4,16,1,17,1,10,1,16,3,17,2,16,1,12,1,17,2,11,1,17,1,9,1,12,1,11,1,12,2,9,1,17,1,9,1,12,2,9,1,10,1,12,2,17,2,9,1,17,1,11,1,12,1,11,1,12,1,10,1,11,2,24,1,11,1,8,1,24,1,11,1,9,3,11,1,8,1,11,1,9,1,11,1,9,4,11,1,9,1,12,1,11,1,10,2,17,2,10,1,11,1,9,1,12,1,11,2,12,3,11,2,12,1,10,1,17,1,11,1,12,1,9,1,12,1,9,1,10,2,9,1,10,1,12,1,10,1,12,1,10,1,11,2,10,1,12,1,17,2,12,1,17,1,12,1,24,1,7,1,29,1,30,1,29,1,30,1,28,1,30,3,28,1,30,1,29,1,6,1,28,1,6,1,7,1,29,1,7,2,13,1,6,1,25,1,29,2,28,1,29,1,30,1,29,1,30,1,29,1,28,1,30,1,27,1,29,1,28,1,25,1,30,1,26,1,8,2,25,1,26,1,30,1,8,2,25,4,8,3,25,1,24,3,8,1,24,1,12,1,25,1,10,1,12,1,24,3,12,1,25,1,7,1,8,2,13,1,8,1,25,1,12,1,24,2,12,1,8,1,24,2,8,1,24,1,10,1,12,2,8,1,24,2,12,1,24,2,8,1,24,3,10,2,8,1,24,1,10,1,12,1,24,1,10,1,8,4,7,1,26,1,6,2,7,1,29,1,28,1,30,2,7,1,28,1,6,1,28,1,30,1,29,1,7,1,6,2,13,1,7,1,13,1,6,3,7,1,6,1,7,1,13,1,24,1,25,1,28,17,7,1,10,1,24,1,8,1,24,1,12,1,8,1,24,1,8,1,13,3,8,2,13,1,24,2,6,1,24,1,6,1,7,1,24,1,6,1,8,2,7,1,8,1,24,1,8,1,13,1,10,1,24,2,12,1,24,1,8,1,12,1,10,1,8,1,24,2,8,1,24,3,13,1,10,2,13,1,8,1,7,1,8,1,13,1,7,1,9,1,28,1,8,1,29,1,24,1,13,1,8,1,13,1,10,1,8,1,10,1,8,3,13,1,24,2,12,1,8,1,9,1,10,2,8,1,17,1,24,2,12,1,17,3,12,1,24,1,10,1,13,1,24,4,6,1,12,1,7,1,12,2,24,2,8,1,24,4,12,1,10,2,12,2,17,1,10,1,12,1,17,2,12,1,17,3,12,1,17,8,12,2,17,2,9,1,17,1,12,1,17,1,9,2,13,1,28,38,30,1,7,1,6,2,13,1,7,1,13,1,8,2,13,2,6,1,9,2,8,1,13,4,9,1,13,1,8,1,11,1,8,1,17,1,11,2,12,1,11,2,17,3,12,1,17,2,16,2,11,1,17,1,9,3,11,1,8,1,13,3,8,1,13,5,6,1,13,2,6,1,8,1,13,3,8,1,13,1,6,1,11,1,13,2,7,1,6,1,13,1,11,1,9,1,11,1,8,1,13,1,6,1,30,3,28,32,8,2,13,1,30,1,7,1,13,2,7,1,13,1,9,3,13,1,8,1,13,1,7,1,13,2,7,1,13,2,30,1,6,1,13,2,9,1,13,2,6,1,13,3,6,1,13,2,6,1,13,2,8,1,13,3,6,1,13,4,9,1,7,1,6,1,13,5,9,1,13,2,29,1,9,1,13,2,9,1,13,4,6,1,13,1,8,1,6,1,13,1,9,1,13,4,8,1,6,1,13,3,7,1,13,2,30,1,13,1,6,2,13,2,6,2,13,1,6,2,30,1,13,1,6,1,30,1,13,2,30,1,8,2,13,2,6,1,29,1,13,1,30,1,7,1,6,2,28,30,30,1,28,1,30,1,28,5,29,1,24,1,15,1,11,1,15,1,17,1,9,1,8,1,13,1,8,2,6,1,29,1,30,1,28,2,30,1,28,1,30,1,6,3,8,1,6,1,9,3,12,1,17,1,8,1,6,1,28,7,6,1,24,1,8,1,24,1,28,36,13,1,8,1,13,1,29,1,28,1,29,1,24,1,10,1,13,1,8,1,6,1,28,1,29,1,7,1,28,1,30,2,7,2,13,1,9,1,13,1,6,1,30,1,28,3,30,1,13,1,9,1,24,1,28,1,30,1,28,2,30,1,6,1,13,1,7,1,9,1,12,2,8,1,12,1,8,1,6,4,12,1,24,1,13,1,28,4,24,1,13,1,28,40,30,1,28,9,6,1,12,1,10,1,7,1,28,1,}, {28,39,9,1,13,1,30,1,28,1,6,1,9,1,11,1,24,1,9,1,6,2,30,1,29,1,30,1,28,2,7,1,8,1,9,1,15,1,29,1,30,1,28,4,29,1,8,2,13,2,29,1,28,11,8,2,6,1,28,38,30,1,28,3,30,1,28,1,29,1,30,1,28,1,30,1,6,1,8,1,17,1,13,1,6,1,13,3,17,2,12,1,28,1,6,1,30,2,6,2,13,2,30,2,28,1,29,1,28,3,29,1,28,1,6,1,30,1,9,1,10,1,7,1,28,5,30,1,24,1,9,1,24,1,12,1,9,1,24,1,8,2,9,1,8,3,10,1,9,1,13,1,10,1,9,1,30,1,29,1,28,1,30,1,6,2,28,36,30,1,29,2,13,1,8,1,13,1,28,5,6,1,12,1,15,1,9,1,12,1,8,1,13,1,8,2,7,1,13,1,29,1,28,1,30,1,28,1,6,1,28,3,30,2,6,1,29,1,6,1,8,2,7,1,13,1,10,1,17,3,6,1,28,15,6,1,29,1,13,2,6,2,30,1,6,1,28,1,6,2,29,1,13,1,28,1,30,1,28,4,8,1,9,1,10,1,9,2,11,1,9,2,8,1,11,1,9,1,16,2,8,1,9,2,10,1,9,1,11,1,16,1,10,1,9,1,11,2,13,1,16,1,11,1,9,2,13,2,11,1,13,9,9,2,13,1,9,2,16,2,9,2,8,1,9,3,16,2,9,1,11,1,9,1,10,1,9,1,11,1,13,1,9,1,11,1,13,1,11,1,10,1,9,1,10,1,9,2,8,2,11,1,13,1,10,1,8,1,13,1,9,2,13,1,8,1,13,1,10,1,13,1,9,1,16,1,11,3,16,2,9,1,8,1,16,1,9,1,11,1,9,1,10,1,16,1,11,1,9,1,11,1,10,1,17,1,11,2,9,1,16,2,11,1,16,1,11,1,16,1,9,1,8,1,16,1,8,1,9,1,8,1,6,1,13,2,29,1,6,2,30,2,7,1,30,1,29,1,13,1,6,1,8,2,9,3,10,1,13,1,29,1,28,1,7,1,29,1,7,1,6,2,13,1,6,1,13,1,7,1,13,1,8,1,6,1,13,1,8,3,13,1,8,1,9,1,8,3,9,1,10,1,9,2,13,1,12,1,9,1,11,1,16,1,12,1,9,2,17,3,16,2,11,1,16,1,11,2,9,1,11,1,10,1,11,1,10,1,9,2,11,2,9,1,16,1,11,1,9,3,8,1,9,2,10,1,9,2,11,1,13,1,8,3,9,1,8,1,13,1,9,2,8,1,9,2,13,1,9,1,11,1,10,1,9,2,10,1,11,1,10,1,11,1,9,1,10,2,9,1,16,1,11,2,13,1,9,1,16,1,9,2,10,1,11,1,9,2,16,1,13,1,9,1,10,1,11,2,9,1,11,1,17,1,10,1,11,1,17,1,9,1,11,1,10,1,11,1,9,1,11,1,9,1,11,2,9,3,13,3,11,1,9,2,13,1,12,1,13,3,6,1,7,1,28,1,29,1,28,22,9,1,17,2,12,1,10,3,9,1,24,1,9,1,8,1,9,1,8,1,13,1,8,3,13,1,8,1,13,1,9,1,13,1,11,1,17,1,11,1,17,1,16,1,17,3,11,1,17,1,9,1,12,1,11,3,13,1,24,1,13,2,6,2,28,1,29,1,6,1,30,2,6,1,28,1,29,1,28,3,29,1,30,1,28,1,13,1,7,1,6,1,13,1,6,2,28,24,30,2,7,1,30,1,28,1,7,1,29,1,30,1,13,1,7,1,29,1,7,1,6,2,9,1,7,1,8,1,13,2,7,3,13,2,6,1,13,2,8,1,7,1,8,1,29,1,28,1,6,1,8,3,13,1,30,1,13,1,7,1,6,3,29,1,6,1,13,1,6,2,30,2,28,2,29,1,28,1,30,1,28,3,29,1,28,8,30,1,29,1,28,3,30,3,29,1,6,2,30,1,6,1,13,1,30,1,6,1,7,1,6,2,13,2,29,1,13,1,7,1,8,1,30,1,6,1,13,1,29,1,7,1,29,1,28,1,6,1,30,2,7,1,29,1,30,1,13,2,8,1,13,1,9,2,16,2,17,1,16,1,17,1,16,1,17,1,16,1,11,2,13,1,8,1,13,2,16,1,10,1,8,1,10,1,8,1,9,1,10,1,9,1,11,1,9,1,13,1,9,1,13,1,6,1,13,1,6,1,29,1,8,1,6,1,28,1,29,1,7,1,30,1,6,1,28,3,30,2,28,3,6,1,30,1,29,1,28,2,29,1,30,2,28,1,7,1,30,1,29,1,30,1,28,31,29,1,7,2,13,2,8,2,9,1,8,2,13,2,7,1,30,1,7,1,6,2,29,1,7,1,13,3,17,55,16,1,11,1,9,2,16,3,11,4,9,2,11,2,9,1,11,2,9,2,11,3,9,1,16,2,9,1,11,1,9,4,11,1,9,2,11,1,9,1,13,1,9,5,16,2,9,1,11,1,9,2,11,3,9,2,11,1,9,1,16,2,11,1,16,1,11,1,16,11,17,4,9,1,6,1,30,1,6,1,30,3,6,2,30,1,6,1,29,1,28,1,30,6,13,1,30,2,6,3,30,4,6,1,30,4,29,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,29,1,30,2,28,1,30,2,29,1,6,2,30,4,6,1,30,4,28,3,30,1,6,1,29,1,6,1,28,1,29,1,30,5,6,1,30,2,28,1,30,1,6,1,28,2,30,4,6,1,30,1,28,1,30,2,28,1,30,4,28,4,6,1,30,1,6,1,30,2,28,3,30,1,28,1,30,3,28,1,6,1,28,1,30,2,28,1,30,4,28,3,30,2,28,1,30,2,29,1,28,1,30,1,6,1,28,1,6,1,30,2,6,1,30,3,6,1,30,2,6,1,30,1,28,2,30,2,9,1,30,3,28,1,30,2,28,1,29,1,28,1,30,1,28,1,29,2,28,1,30,4,7,1,30,3,6,1,30,1,29,1,6,2,30,1,6,1,29,1,30,1,6,1,30,1,6,1,29,1,30,3,6,3,30,2,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,3,29,1,30,1,6,3,30,1,6,2,30,1,6,2,29,1,30,3,28,1,30,1,6,8,30,1,6,1,30,1,6,3,13,1,30,2,6,1,29,1,6,3,30,1,29,1,30,7,29,1,30,3,6,1,30,2,29,1,30,1,6,4,30,2,6,1,29,1,6,4,30,1,6,1,30,1,6,4,13,1,30,1,6,2,7,1,6,1,30,1,6,4,30,1,6,2,13,1,6,1,28,1,6,1,30,1,6,3,30,2,13,1,30,2,29,1,13,2,6,1,30,1,6,7,30,1,6,1,29,1,30,1,29,1,6,1,30,3,6,1,30,1,6,2,30,1,6,1,30,2,9,2,13,1,29,2,6,1,30,3,6,3,28,1,6,1,28,1,29,1,28,2,30,1,28,1,30,3,28,1,30,3,28,1,30,1,6,1,30,2,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,7,30,2,28,2,30,1,28,3,30,1,29,1,13,2,28,1,8,1,13,1,28,2,13,2,10,1,9,1,24,1,10,2,12,1,11,2,17,1,11,1,10,1,11,1,16,1,10,1,16,1,9,2,11,2,16,1,17,2,11,2,9,1,12,2,8,1,24,1,13,2,9,1,11,1,12,1,9,1,12,1,9,2,11,1,10,1,8,1,6,1,7,1,13,1,11,1,10,1,9,2,17,1,16,1,17,1,12,1,17,5,11,1,9,1,11,1,16,1,17,1,16,1,17,1,11,1,17,1,11,1,17,1,12,1,17,1,11,1,17,3,12,2,9,1,10,2,9,1,12,1,9,1,12,1,17,1,12,2,11,1,9,1,10,1,17,1,9,1,17,1,10,1,11,1,9,2,10,1,11,1,10,1,9,1,11,1,12,1,9,1,11,1,9,1,10,1,9,1,10,1,9,1,12,1,8,1,12,1,11,3,9,2,17,1,10,1,9,1,10,1,11,1,9,1,11,1,12,3,17,1,12,1,10,1,11,1,17,1,10,1,9,1,12,1,9,1,11,1,10,1,9,1,11,2,9,1,12,2,10,1,9,1,10,1,12,1,10,1,12,2,17,4,9,1,8,1,7,1,30,2,28,1,27,1,29,1,28,1,29,1,28,1,30,1,6,1,28,1,29,2,28,1,29,1,6,1,29,1,6,1,29,1,8,1,29,1,28,1,25,1,30,2,29,5,30,1,25,1,28,1,30,1,6,1,25,1,29,2,8,1,27,2,26,1,8,1,6,2,25,1,8,4,24,2,17,1,24,4,17,1,24,1,17,1,24,1,10,1,12,1,8,3,10,1,8,2,24,1,12,1,8,1,10,2,24,1,13,1,24,2,12,1,10,1,24,3,8,1,24,1,17,1,12,2,24,2,8,1,10,1,24,3,10,1,8,1,24,5,8,1,24,1,29,1,30,1,7,1,25,1,27,1,29,2,28,1,30,1,7,1,28,3,30,1,28,1,29,5,7,1,6,1,13,1,7,1,6,1,7,1,13,1,8,1,7,1,8,1,10,1,24,1,28,1,30,1,28,14,29,1,6,1,8,1,24,2,8,1,13,1,10,1,13,1,7,1,8,7,7,1,8,2,7,1,24,2,29,1,25,1,24,3,13,1,10,1,8,1,24,1,8,1,12,1,24,1,10,1,24,1,10,1,24,1,12,1,8,1,9,2,8,1,13,1,8,1,24,2,7,1,9,1,29,1,24,1,13,2,24,1,13,1,7,2,13,1,8,1,6,1,8,1,24,1,13,1,8,1,12,1,13,1,24,1,13,1,8,2,9,1,24,1,8,1,24,3,10,1,17,1,10,1,9,1,12,1,10,3,12,1,10,1,12,1,24,1,10,1,24,1,8,1,7,1,24,1,12,1,24,3,8,1,24,4,12,3,24,1,12,1,10,1,12,1,17,1,12,1,17,6,12,1,17,17,9,1,17,1,13,1,28,38,30,2,6,2,7,2,13,1,8,1,13,1,7,1,24,1,13,1,8,1,13,1,8,2,13,1,8,2,7,1,8,1,6,1,13,2,9,1,11,1,17,1,9,1,17,5,11,1,17,2,16,1,13,1,16,1,17,1,9,2,11,2,8,1,13,5,9,1,13,1,9,1,13,2,9,1,13,5,8,1,13,2,7,1,9,3,6,1,13,1,6,1,9,1,11,2,9,1,8,1,6,1,28,35,13,4,6,2,13,2,10,1,13,1,9,1,13,3,6,1,13,6,30,1,13,1,8,1,7,1,9,1,13,1,8,1,13,1,6,1,13,1,7,2,30,1,13,5,7,1,6,1,13,3,9,1,13,1,7,1,9,1,13,1,7,1,13,1,6,1,13,1,6,1,8,1,11,1,9,1,11,1,8,1,9,1,13,1,6,1,13,1,8,1,6,1,13,2,8,1,9,2,13,1,9,1,8,1,13,2,8,1,13,1,7,1,13,1,30,1,13,1,7,1,6,1,13,2,6,1,28,1,29,1,6,1,30,1,13,1,6,1,13,1,30,1,13,2,6,2,13,1,30,1,13,2,28,1,13,2,6,1,30,1,28,1,13,2,7,1,13,1,30,1,28,29,6,1,29,1,30,1,28,8,24,1,14,1,10,2,14,1,10,1,9,1,8,1,13,2,6,2,28,1,30,1,29,1,28,1,6,1,29,1,30,1,6,1,7,1,6,1,9,1,8,1,9,1,17,1,12,1,16,1,17,1,7,1,28,7,30,1,24,1,8,1,7,1,30,1,28,1,30,1,28,33,13,1,8,1,6,1,28,3,24,1,7,1,9,1,13,3,30,2,28,1,30,1,28,1,13,1,24,2,10,1,7,1,29,1,28,5,13,1,9,1,7,1,28,3,30,1,28,1,6,1,8,1,13,1,15,1,10,1,14,1,9,2,8,1,13,1,6,1,30,1,13,1,9,1,17,1,8,1,28,3,6,1,13,1,9,1,6,1,28,49,29,1,17,1,9,1,13,1,28,1,}, {28,32,30,1,28,5,30,1,13,2,30,1,13,1,6,1,9,2,8,2,7,1,8,1,30,1,6,1,30,2,28,1,13,1,8,1,12,1,10,1,30,1,28,5,29,1,12,2,8,2,6,1,28,11,9,1,8,1,28,45,29,1,28,2,6,1,8,1,9,2,13,4,7,1,24,1,17,2,6,1,28,2,6,3,8,1,6,1,13,1,6,1,28,8,30,1,29,1,24,1,8,1,30,1,28,5,8,1,10,1,24,1,9,1,7,1,9,1,8,1,24,1,8,1,24,1,9,1,8,1,9,1,13,1,9,1,14,1,12,1,28,1,13,1,30,1,6,1,29,1,6,1,28,37,6,1,30,1,13,1,8,1,13,1,28,5,30,1,9,2,10,1,8,1,24,1,13,1,8,1,13,2,29,2,6,2,28,1,29,1,6,1,30,2,29,2,6,2,7,2,6,1,7,1,12,1,17,3,14,1,6,1,28,15,7,1,6,1,7,1,28,1,29,2,6,1,29,1,30,1,6,1,13,1,6,1,28,1,30,1,28,4,30,1,13,1,9,2,8,1,9,3,11,1,10,1,9,1,8,1,10,1,9,1,13,1,9,1,13,1,9,2,13,1,9,2,8,1,9,3,8,1,9,2,10,1,9,1,8,1,9,1,13,2,8,1,6,1,13,2,8,1,13,2,9,1,8,2,11,1,10,1,11,1,8,2,9,3,8,1,16,1,11,1,9,1,17,1,9,1,11,2,12,1,10,1,9,1,13,2,9,2,16,1,9,3,11,1,13,1,9,1,13,2,9,1,13,1,8,1,13,2,9,1,8,1,13,2,16,1,9,2,11,1,9,2,16,1,11,1,16,2,11,2,9,3,11,1,8,1,9,1,16,1,11,1,10,1,9,1,11,2,9,1,16,1,9,1,8,1,9,1,10,1,16,3,13,1,11,1,13,1,8,1,6,1,30,1,13,1,30,1,28,1,6,1,30,1,6,1,8,1,29,2,13,1,7,1,8,3,9,1,10,1,7,1,6,1,28,1,7,1,6,1,13,2,6,1,8,1,6,3,13,1,6,1,13,1,24,1,13,1,8,1,13,2,24,1,13,1,8,1,9,1,13,2,9,1,8,2,13,1,12,1,9,1,10,1,12,1,13,1,9,1,11,1,17,2,16,1,11,3,16,1,11,4,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,8,2,13,1,9,2,8,1,13,1,8,1,9,1,11,1,10,1,9,1,13,1,9,1,13,1,11,1,9,1,8,2,9,1,8,1,9,2,13,1,10,1,9,4,13,1,9,1,11,1,9,1,11,1,9,2,11,1,8,1,9,5,10,2,9,3,13,1,11,2,10,1,16,1,9,1,11,1,9,1,11,1,9,1,11,3,16,1,9,1,10,1,11,1,9,4,10,1,11,1,10,1,9,1,10,1,13,1,10,1,9,2,8,3,13,1,6,2,28,1,29,1,28,2,30,1,28,19,30,1,17,1,12,2,10,1,12,1,10,2,8,1,10,1,24,1,8,2,13,4,8,2,13,2,8,1,13,1,9,1,10,1,9,1,12,1,17,1,12,1,17,3,16,1,9,1,12,1,10,1,9,2,24,1,8,1,24,1,13,1,7,1,6,2,28,1,29,1,6,1,30,1,28,2,30,1,28,1,7,1,28,1,29,1,6,3,7,1,30,1,8,1,29,1,6,1,29,1,28,29,29,1,28,1,29,1,6,2,29,1,6,2,13,1,24,1,13,1,30,1,13,3,6,1,8,1,6,1,8,1,6,1,13,1,7,1,6,2,8,1,7,1,13,2,7,2,8,2,13,3,6,1,13,1,6,1,29,1,6,1,7,1,29,3,6,1,29,1,28,2,29,1,28,1,6,1,28,3,30,1,28,7,30,1,29,1,28,2,29,1,28,2,30,1,28,2,6,1,28,1,29,1,7,1,28,2,7,1,6,1,7,1,29,1,6,2,30,1,13,1,6,1,13,1,6,1,28,1,29,1,6,1,28,1,29,1,28,1,29,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,9,1,12,1,17,4,16,1,11,1,16,2,9,4,16,2,11,1,9,1,16,1,9,1,16,1,9,2,11,1,8,2,7,1,8,1,13,1,6,1,13,1,6,1,13,2,7,1,29,1,7,1,6,2,30,3,6,1,30,1,28,2,30,1,28,2,30,1,29,1,6,3,30,1,29,1,28,5,30,1,28,29,7,1,6,3,8,3,13,1,8,1,13,1,7,1,13,1,7,1,6,2,13,2,7,2,29,1,8,1,17,54,11,1,16,1,10,1,11,2,16,1,9,1,16,2,11,1,16,1,11,2,16,1,11,1,9,1,16,1,9,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,11,3,9,1,13,1,9,3,11,1,9,3,11,1,9,4,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,16,1,9,1,13,1,16,1,11,3,16,2,11,1,16,1,11,1,16,5,17,2,16,1,17,4,13,1,28,1,30,1,28,1,6,3,30,1,28,1,30,1,6,1,30,8,6,1,28,4,30,1,28,1,30,1,29,1,6,1,30,2,29,1,28,1,30,6,28,1,30,1,6,1,30,2,29,1,30,3,29,1,28,1,6,3,29,1,30,1,29,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,13,1,6,1,30,1,6,1,29,1,30,2,6,1,30,3,6,4,28,1,6,1,30,2,29,1,30,3,28,1,30,2,28,1,30,1,28,2,30,2,28,1,30,2,28,3,30,1,28,1,30,3,28,2,30,3,6,1,30,3,28,2,30,1,28,1,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,30,1,6,1,30,5,6,1,30,2,28,1,30,2,6,1,28,2,6,1,28,2,30,9,28,2,30,1,28,1,30,1,6,1,30,1,6,2,30,1,6,2,30,1,6,3,30,2,6,1,13,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,13,1,29,1,6,1,29,1,30,3,29,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,13,1,30,1,6,1,29,1,13,1,30,2,6,2,29,1,30,1,6,2,30,2,28,2,30,4,6,1,30,2,6,1,30,3,6,1,30,2,6,1,30,1,28,1,30,3,6,1,29,1,6,1,30,3,6,1,30,1,6,2,30,3,28,1,7,1,6,2,13,1,30,1,29,1,13,1,30,1,6,2,30,1,7,1,13,1,6,2,29,1,7,1,13,1,28,1,6,1,7,1,6,8,7,1,6,2,30,1,6,3,30,1,29,1,6,1,13,1,30,2,7,1,6,1,29,1,6,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,6,1,30,3,6,1,30,1,6,5,30,1,29,1,13,1,7,1,8,1,9,1,30,1,28,1,30,1,28,1,6,4,30,2,6,1,28,1,30,1,28,1,30,2,28,2,30,5,28,1,30,2,28,2,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,28,2,30,3,28,2,30,1,28,1,30,1,28,4,30,1,28,2,30,1,7,1,13,1,6,1,24,1,29,1,28,1,30,2,24,1,9,1,8,1,9,1,11,1,13,1,10,1,11,1,9,1,17,3,11,1,9,2,11,1,10,3,11,1,17,2,12,1,17,1,9,1,11,2,10,1,9,1,13,1,6,1,13,2,12,1,9,1,24,1,11,1,10,1,17,1,10,1,9,1,12,1,13,3,8,1,24,1,9,2,17,5,11,1,17,2,9,2,12,1,11,5,9,1,11,1,17,3,11,1,10,1,17,2,12,1,10,1,9,1,10,1,12,1,10,1,11,1,9,1,10,1,11,1,12,1,11,1,12,1,11,4,12,2,17,2,9,1,11,1,9,2,12,1,9,4,8,1,11,1,9,6,24,1,10,1,11,1,9,1,11,1,10,1,12,1,10,4,17,1,12,1,17,1,11,1,10,2,11,1,17,1,12,1,9,1,12,1,17,1,9,1,11,3,9,2,11,1,10,1,12,1,10,3,17,1,10,2,12,2,17,3,12,1,17,1,24,1,13,1,29,1,6,1,30,1,29,1,28,3,30,1,28,1,29,1,30,1,28,1,30,1,29,1,7,2,29,1,25,2,6,1,25,2,29,1,26,1,29,1,6,1,30,1,29,1,30,2,28,1,26,1,6,1,8,1,30,1,6,1,25,2,28,1,26,1,6,1,24,1,25,1,24,1,6,1,25,1,24,3,13,1,24,1,8,2,10,1,12,1,24,2,12,1,10,1,8,1,24,2,8,1,24,1,12,1,25,2,24,1,8,1,13,2,24,3,12,1,17,1,24,1,12,1,13,1,24,1,10,1,24,1,8,1,17,1,12,1,24,3,17,1,24,2,12,1,24,1,10,1,24,2,8,1,24,1,12,1,24,1,12,1,24,1,8,2,7,1,29,1,30,1,29,1,30,1,29,2,6,1,30,2,29,1,13,1,28,2,6,1,30,1,29,1,6,1,30,2,13,1,8,1,13,1,29,1,6,1,8,5,24,2,25,1,28,15,6,1,8,1,24,1,8,5,24,2,13,1,8,1,7,1,8,6,24,1,8,2,25,1,8,1,24,1,7,1,24,6,8,2,24,2,8,1,10,1,24,1,8,1,12,1,8,1,24,1,7,1,12,1,7,1,24,1,13,1,7,1,24,1,13,1,8,2,13,1,6,1,13,1,24,1,8,2,24,1,13,1,6,1,30,1,6,1,29,1,24,1,8,2,12,1,24,1,8,2,24,1,10,1,8,1,12,1,24,1,12,3,24,1,8,1,10,2,12,1,24,5,25,1,7,1,24,1,25,1,24,2,8,1,24,1,6,1,24,1,8,2,24,2,12,1,24,1,10,1,12,1,10,1,12,2,17,2,10,1,17,11,11,1,17,10,9,1,12,1,28,41,30,1,6,1,30,1,28,1,30,1,13,1,8,1,13,1,24,1,13,1,8,1,7,1,13,1,8,1,13,1,8,1,13,1,9,1,13,1,7,1,9,1,11,1,24,1,10,1,12,1,11,1,12,1,17,6,11,1,10,1,16,1,17,1,9,1,16,1,9,3,8,1,9,1,8,1,13,1,6,1,13,3,8,1,13,6,8,1,13,3,9,1,13,1,8,1,13,1,6,1,7,1,6,1,13,1,11,1,9,3,13,1,6,1,28,35,6,1,13,1,8,1,13,4,9,1,8,1,9,2,13,4,6,2,13,2,30,1,29,1,6,1,13,4,6,1,13,2,6,1,13,1,7,1,13,1,6,3,7,1,13,1,6,2,29,1,13,3,8,1,11,1,6,1,9,1,13,1,9,1,6,1,13,1,8,1,13,1,9,3,13,1,9,1,13,1,8,1,13,4,9,1,13,3,9,2,6,1,13,4,9,1,13,2,7,1,29,1,6,1,7,1,30,1,6,2,30,1,6,1,29,1,6,1,28,1,30,1,28,1,13,3,30,1,13,1,30,1,6,1,13,1,6,2,7,1,30,1,8,1,13,4,6,1,30,1,6,1,28,38,30,1,28,1,13,1,15,2,9,1,12,1,9,2,24,1,8,1,13,1,6,1,29,1,30,1,28,3,30,2,6,1,29,1,8,1,13,1,8,2,9,1,17,1,12,2,9,1,13,1,28,7,7,1,24,1,8,1,6,2,28,35,13,2,7,1,28,1,30,1,13,1,9,1,17,1,9,2,13,1,6,1,30,1,28,2,30,1,6,2,8,1,17,1,12,1,8,1,7,1,28,5,13,1,9,1,7,1,28,3,30,1,28,1,6,1,13,2,9,1,11,1,17,1,8,3,7,1,29,1,7,1,13,1,17,1,9,1,8,1,6,1,28,3,8,1,10,1,30,1,28,49,7,1,9,2,8,1,28,1,}, {30,1,28,31,30,4,28,1,30,1,6,1,13,1,28,3,8,2,11,1,13,4,6,2,28,1,29,1,28,1,30,1,13,1,9,1,24,1,29,1,30,1,28,4,6,1,8,1,9,1,8,1,7,1,13,1,30,1,28,10,13,2,6,1,30,1,28,43,30,1,28,2,29,1,6,1,9,2,8,1,6,1,13,1,6,2,12,1,17,1,9,1,30,1,29,1,30,2,8,1,13,1,24,1,13,2,29,1,28,8,6,1,8,1,24,1,13,1,28,5,30,1,13,1,9,1,24,1,8,1,7,1,13,1,7,1,8,1,24,1,9,1,24,1,13,1,8,1,24,1,10,1,14,1,15,1,6,3,29,1,30,1,29,1,30,1,28,34,30,1,6,1,28,1,29,1,7,1,24,2,28,4,30,1,7,1,10,1,12,1,8,3,13,2,24,1,7,1,6,2,30,1,28,1,6,1,28,1,29,1,28,2,29,1,30,1,6,1,7,1,6,1,13,1,8,1,13,1,8,1,17,1,12,1,17,1,14,1,13,1,28,14,6,1,29,2,6,1,28,1,6,1,30,1,29,1,7,1,6,1,28,2,6,3,30,1,28,4,13,1,9,2,8,1,9,1,11,2,9,3,11,1,9,1,13,1,9,1,11,1,13,1,10,1,13,1,9,2,13,2,11,2,7,1,9,3,13,1,10,1,8,1,9,1,8,1,13,4,8,1,9,1,13,1,9,1,13,1,11,1,10,1,11,1,13,1,10,1,11,2,9,2,11,1,9,2,11,1,13,1,9,4,10,1,9,1,13,1,9,4,8,1,9,4,10,1,8,1,9,2,13,1,9,5,11,1,9,1,10,1,9,2,16,1,13,1,9,3,16,1,9,3,17,1,11,1,9,1,17,1,13,1,16,1,11,1,17,1,16,1,8,1,16,1,11,2,9,1,11,3,9,1,11,1,10,1,17,1,16,1,9,1,16,1,8,1,6,1,13,1,6,2,7,1,6,2,30,1,13,1,28,3,6,1,7,1,8,1,9,2,12,1,10,1,6,1,30,1,6,1,30,1,29,1,6,1,28,1,6,6,8,2,13,4,24,1,8,1,9,3,13,2,9,1,8,1,11,1,17,1,11,1,9,1,11,1,9,3,11,1,17,2,16,1,11,3,9,1,11,1,9,1,16,1,11,2,10,1,9,1,11,2,9,1,11,1,9,1,8,1,11,1,8,1,9,2,13,1,9,1,8,1,9,1,16,1,11,1,8,1,9,1,13,2,9,1,13,1,9,2,8,1,7,1,9,1,8,1,9,3,10,1,9,1,8,1,11,1,9,1,8,1,11,1,9,1,8,1,9,1,10,2,9,3,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,10,1,9,6,11,1,9,1,11,1,8,1,11,2,9,1,10,1,16,1,10,1,11,1,10,1,11,1,9,2,11,1,9,6,24,1,9,1,24,1,8,1,6,2,13,1,6,1,29,1,30,1,28,21,13,1,10,1,17,1,12,3,11,1,9,3,24,1,9,1,13,2,8,1,13,1,7,2,8,1,30,1,13,1,30,1,6,1,8,2,12,1,11,1,12,1,17,5,12,1,11,1,12,1,11,1,8,2,13,1,30,1,6,1,7,1,28,1,7,1,28,1,29,2,28,2,30,1,28,1,30,1,28,1,29,3,7,1,13,1,30,2,7,2,30,2,28,26,30,1,29,1,28,1,30,1,28,2,30,1,7,1,6,1,7,1,13,1,6,6,13,1,6,2,13,1,6,2,8,1,7,1,8,1,6,1,8,1,13,1,6,1,13,1,6,1,13,1,7,3,13,1,29,1,24,1,30,1,7,1,13,1,6,1,30,1,6,1,28,1,6,1,29,1,28,13,30,1,28,1,30,1,28,8,29,1,6,2,30,1,29,1,7,1,28,1,6,2,30,1,29,1,6,2,30,1,7,1,6,3,28,2,29,1,28,2,30,1,28,4,7,1,30,1,29,1,6,2,13,1,6,1,8,2,9,1,16,2,17,1,11,1,17,1,11,1,17,1,11,1,13,1,9,2,16,1,9,1,16,2,10,1,9,4,16,1,11,1,9,1,10,1,8,1,13,1,8,1,13,1,9,1,13,3,7,1,28,1,13,1,30,2,28,1,29,1,28,1,29,1,30,1,28,1,30,2,28,1,30,1,6,1,28,2,6,1,30,1,6,1,29,1,30,2,6,1,28,1,29,1,30,1,28,30,6,1,13,4,24,1,8,1,13,1,29,1,7,1,13,1,6,1,7,1,6,2,8,1,6,1,13,1,29,1,17,8,16,1,17,29,16,1,11,1,16,2,11,1,16,2,17,1,16,2,17,1,16,1,11,1,16,1,11,1,16,4,11,2,9,1,11,1,16,4,11,1,16,1,9,1,11,2,9,2,11,2,16,1,11,1,16,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,9,11,3,16,1,11,1,9,1,11,2,16,1,11,1,16,1,11,3,16,3,11,1,16,4,11,1,16,7,17,3,11,1,30,1,28,1,6,2,30,3,6,2,30,1,29,1,30,2,6,1,30,3,28,1,30,5,29,1,6,1,30,2,28,3,29,1,6,1,28,1,30,1,28,1,30,2,28,1,30,2,29,1,30,1,6,2,29,1,30,1,29,1,30,3,6,2,30,1,29,1,30,2,6,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,6,1,8,1,30,1,29,1,6,1,30,5,6,2,29,1,30,1,28,1,30,1,6,1,30,2,28,1,29,1,30,2,28,1,30,8,28,1,30,1,28,3,30,2,6,1,30,1,28,2,30,3,6,1,30,2,6,1,30,2,6,1,30,3,6,1,28,2,30,1,28,1,30,1,29,2,30,3,28,1,6,1,28,1,30,5,28,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,4,28,1,30,1,6,1,29,1,28,1,30,2,6,1,30,1,6,2,28,1,30,5,28,1,30,4,29,1,6,2,13,1,6,1,30,1,13,1,6,4,30,2,6,2,30,1,6,1,29,1,30,1,6,2,30,2,6,1,29,1,13,1,6,1,28,1,6,1,30,2,6,1,28,1,29,1,6,4,30,1,6,3,30,4,6,2,30,1,6,2,30,3,6,1,28,1,30,1,28,2,30,2,28,1,29,2,6,1,30,1,6,2,28,1,6,1,30,2,6,1,30,4,6,1,30,2,28,1,6,1,30,2,29,2,6,1,28,1,6,3,30,1,6,1,30,1,6,1,30,3,6,2,30,3,29,1,6,1,30,1,6,3,30,1,6,3,13,1,6,4,30,1,6,5,30,1,6,3,30,2,29,1,6,1,30,1,29,1,30,1,6,1,30,1,6,3,30,3,6,1,29,1,30,1,29,1,30,1,29,1,6,2,29,1,6,1,29,1,28,1,6,2,30,5,28,1,6,1,11,1,8,1,6,1,29,1,28,1,30,1,13,1,28,1,30,1,6,1,29,1,6,2,30,2,28,1,30,2,6,1,30,2,28,1,29,1,30,2,6,1,30,1,28,3,6,1,30,2,28,2,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,1,29,1,28,2,30,2,6,1,13,2,7,1,6,1,28,2,29,1,8,1,9,2,24,1,8,2,9,1,8,2,11,1,17,3,11,1,10,1,11,1,10,2,9,1,17,2,16,2,17,1,9,1,17,1,11,1,17,1,9,1,13,2,8,2,12,1,17,1,9,1,17,1,9,1,11,1,12,1,10,2,9,1,6,2,24,1,10,1,24,1,12,1,17,2,11,1,17,3,11,1,17,1,10,1,16,1,11,1,8,1,11,2,10,1,9,1,11,1,16,1,17,2,12,1,17,2,11,2,9,1,10,1,11,1,9,1,11,1,9,1,17,1,11,3,12,2,11,2,12,1,17,1,11,1,12,1,9,2,11,1,9,2,11,1,24,1,10,1,9,2,8,1,9,1,11,1,9,3,10,1,9,1,12,1,10,3,9,2,11,1,17,1,10,1,11,1,10,1,11,4,12,2,10,1,11,1,9,1,10,1,12,1,17,1,12,1,9,1,12,1,9,1,11,3,10,1,11,1,9,3,11,5,12,1,11,1,17,3,12,2,8,1,7,1,29,1,26,1,28,1,30,1,28,3,29,1,28,1,30,1,7,1,6,2,7,1,6,2,25,1,6,1,25,2,27,1,30,1,29,3,28,1,30,4,28,3,30,1,25,1,6,1,27,1,25,1,6,1,24,1,26,1,8,1,29,1,8,1,25,1,8,2,24,1,8,1,7,1,8,1,24,2,10,1,8,1,10,1,12,1,24,1,25,1,12,1,10,1,25,1,24,1,8,1,24,1,8,2,24,1,8,1,24,1,12,1,8,2,10,1,24,1,17,1,13,1,8,1,10,1,8,1,10,1,24,1,8,1,24,1,12,1,24,1,17,1,12,3,8,1,12,1,24,2,12,1,24,1,12,1,8,1,10,1,24,2,25,1,8,1,25,1,6,2,30,1,6,1,7,1,30,2,29,1,30,1,28,2,30,1,29,1,28,1,29,1,28,1,29,1,28,1,6,1,30,1,6,2,29,1,13,1,29,1,7,1,8,2,7,1,25,1,8,1,10,1,24,1,28,15,7,1,24,1,13,1,8,3,13,2,24,1,7,1,8,1,13,1,8,1,13,1,25,2,8,1,24,1,7,1,24,1,7,1,25,1,24,1,8,1,24,2,10,1,8,2,13,1,24,2,12,1,24,1,10,1,12,1,13,1,24,1,10,1,13,1,10,1,24,1,8,1,13,1,12,1,8,1,13,1,8,1,7,1,24,1,8,1,24,1,10,1,13,1,6,1,24,2,29,1,13,1,8,2,6,1,13,1,8,1,13,1,9,1,10,1,13,1,24,1,13,1,9,1,24,1,9,1,17,1,9,1,24,3,17,1,12,1,24,4,12,3,24,3,8,1,24,1,8,1,25,1,7,1,25,2,10,1,6,1,24,2,8,1,24,4,9,1,24,1,10,1,12,1,10,1,17,2,12,1,17,10,12,1,17,1,12,1,17,6,12,1,11,2,8,1,10,1,28,43,30,1,29,1,8,2,13,2,8,2,9,2,13,3,9,1,8,1,11,1,8,2,13,1,24,1,9,1,11,1,12,1,11,2,17,7,11,1,10,1,16,1,9,1,17,1,9,1,11,1,9,2,13,4,9,1,7,1,9,1,7,1,13,1,6,1,9,1,13,2,7,1,13,7,11,1,13,2,30,1,13,1,9,1,11,1,9,1,11,2,28,1,30,1,6,1,28,32,30,1,6,1,13,1,9,1,6,1,13,2,7,1,8,1,13,1,10,1,7,1,13,1,7,1,13,5,6,2,13,1,7,1,13,1,8,1,13,1,6,1,13,3,28,1,8,1,6,1,30,1,7,1,13,1,6,1,28,1,13,1,28,1,13,1,30,1,13,1,6,3,13,7,8,1,13,1,9,3,11,1,13,6,8,1,30,1,13,3,6,1,13,8,30,1,13,1,6,4,30,1,8,1,6,1,13,1,30,2,28,1,6,2,13,1,6,1,30,1,6,1,13,1,30,1,6,1,13,2,6,2,13,1,28,1,13,1,28,1,30,1,13,1,30,1,28,2,6,1,28,29,30,1,28,8,30,1,9,1,14,1,24,1,9,1,12,1,9,1,8,1,7,1,13,1,6,1,7,1,6,1,29,1,30,1,29,1,28,1,29,1,28,1,13,1,30,1,7,1,6,1,8,2,12,1,11,1,15,1,9,1,17,1,7,1,28,7,6,1,24,2,29,2,28,1,29,1,28,33,8,2,13,1,28,1,30,1,28,1,8,1,11,1,12,1,9,1,7,1,13,1,6,1,28,1,30,4,8,1,17,1,24,1,9,1,29,1,28,4,30,1,7,1,24,1,13,1,30,1,28,3,29,1,7,1,8,2,10,1,12,2,24,1,17,1,8,1,13,1,30,1,13,1,8,1,17,1,8,2,28,3,7,1,29,1,13,1,30,1,28,15,30,1,28,33,8,1,17,1,12,1,8,1,28,1,}, {28,31,30,2,28,3,29,1,7,1,30,1,28,3,6,1,13,2,9,2,8,1,13,1,6,3,28,1,30,2,6,1,8,1,17,1,15,1,6,1,30,1,28,4,6,1,13,1,24,1,11,1,8,1,6,1,28,11,8,1,9,1,30,1,28,44,30,2,29,1,28,1,30,1,8,1,9,1,8,1,13,1,7,1,13,3,11,1,17,1,8,1,6,1,29,2,7,1,6,1,29,1,7,1,6,1,29,1,28,7,30,1,29,1,7,1,13,2,28,6,8,1,10,1,24,1,9,1,13,5,8,2,13,1,8,1,6,1,15,2,8,1,6,1,30,1,13,1,6,1,29,2,28,36,30,1,28,1,8,1,6,1,24,2,29,1,28,4,6,1,12,1,10,1,17,1,11,1,8,1,13,1,8,2,7,2,29,2,24,1,6,2,28,2,30,3,28,1,6,1,8,2,29,1,13,1,10,1,11,1,17,1,14,2,24,1,28,15,6,1,13,1,7,1,29,1,6,1,30,2,7,1,6,1,30,1,7,1,30,1,6,1,30,1,28,5,6,1,10,1,8,2,9,1,11,3,10,1,8,1,11,1,9,1,11,1,9,1,10,1,9,3,8,1,10,2,9,1,13,1,11,1,13,1,9,1,8,1,10,1,11,1,9,1,13,1,9,1,13,4,9,1,13,1,8,1,9,4,8,1,16,2,11,1,9,2,11,1,9,2,8,1,9,3,11,1,16,1,8,1,9,1,11,1,9,2,8,2,9,2,13,1,11,1,9,1,8,1,9,1,8,1,9,1,11,1,13,1,9,2,13,1,8,1,13,1,16,1,11,1,9,3,11,1,13,1,11,2,9,2,11,1,9,1,11,1,9,1,11,1,17,1,13,1,16,1,11,1,9,1,16,1,11,2,9,1,11,1,9,1,16,1,11,4,9,1,16,1,17,1,16,1,9,1,16,1,8,1,10,1,13,1,6,1,28,1,29,1,30,2,6,1,29,2,6,1,30,2,6,1,13,1,8,2,9,1,11,2,29,1,6,3,7,1,30,1,6,1,30,1,7,1,6,1,13,1,7,1,13,1,6,1,8,1,30,1,13,6,6,1,13,1,9,1,13,1,9,2,8,1,9,4,13,1,10,1,11,1,17,3,10,1,16,2,11,2,9,1,11,2,16,1,10,1,11,2,10,1,16,1,9,1,11,1,9,5,8,1,9,1,11,1,9,3,8,4,13,1,9,2,8,1,9,3,13,1,8,1,9,1,8,1,16,1,8,1,11,2,9,1,11,1,9,2,10,1,11,2,9,1,11,1,9,3,11,1,9,3,11,2,9,5,11,4,10,2,11,2,9,1,11,2,9,1,11,1,9,2,12,1,11,1,9,3,10,1,9,1,8,1,9,5,8,1,24,1,8,1,13,1,6,3,30,2,28,21,29,1,11,3,8,1,10,1,11,1,8,1,9,2,13,2,8,1,13,2,8,1,13,1,7,1,6,1,7,2,6,1,7,2,29,1,8,1,11,1,17,6,12,1,11,1,12,1,9,1,13,1,9,1,6,1,7,1,13,1,29,1,6,1,28,2,29,1,30,1,29,2,28,4,30,1,6,1,29,1,28,1,30,1,6,1,7,1,6,1,29,2,30,1,28,31,29,1,28,1,24,1,29,1,30,1,6,1,30,1,6,1,29,1,6,1,7,1,6,1,13,1,29,2,7,3,6,2,7,1,6,1,13,1,6,3,7,3,13,1,30,1,13,2,6,1,13,1,6,2,7,1,29,1,6,1,28,2,30,2,28,16,30,1,28,3,30,1,28,6,6,1,28,1,6,3,28,1,7,1,6,1,30,1,6,1,30,1,29,2,30,2,28,1,30,1,28,7,6,1,30,1,6,1,30,1,6,1,13,2,6,1,13,2,9,2,11,2,17,1,11,1,17,1,11,1,8,1,9,1,11,1,16,1,17,1,11,1,17,1,10,2,16,1,9,1,11,1,10,1,16,1,11,1,9,2,11,1,9,4,24,1,10,1,13,1,7,1,9,1,13,1,6,4,30,1,28,1,29,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,28,1,30,3,6,2,28,4,30,1,28,1,29,1,28,27,29,1,6,2,24,3,8,2,7,1,8,1,13,2,6,2,13,1,7,1,13,3,17,7,16,1,8,1,11,1,10,1,11,1,17,27,16,2,11,1,9,2,11,1,16,1,9,1,11,1,16,1,11,2,17,2,16,1,9,1,11,1,9,1,11,2,9,1,11,1,16,3,11,1,16,1,11,3,16,1,11,1,9,2,16,1,11,1,16,1,11,3,16,1,11,1,16,1,11,3,9,1,11,1,9,3,11,1,9,1,11,2,16,1,9,2,16,1,11,1,16,1,9,1,16,1,9,1,11,1,9,2,11,3,9,1,11,3,9,1,16,3,11,1,16,3,11,1,16,5,17,3,16,1,6,1,28,1,13,1,29,1,28,1,6,1,30,1,29,1,30,1,28,1,30,2,6,1,30,6,6,2,30,5,28,1,6,1,30,1,6,1,30,3,28,1,29,1,30,1,6,2,28,1,30,1,6,2,30,5,28,1,30,1,6,1,30,1,28,1,6,3,28,1,30,1,6,1,30,4,6,1,30,2,28,1,7,1,13,1,30,1,6,1,28,1,29,1,28,1,30,3,6,1,30,1,7,1,6,1,30,3,6,2,30,1,29,1,30,1,28,1,30,1,28,1,30,6,28,1,30,1,28,3,30,1,28,3,30,3,28,1,30,1,29,1,30,6,29,1,30,1,28,2,30,4,28,1,30,1,28,3,30,1,29,1,30,3,29,1,30,1,28,1,6,1,30,1,6,1,30,3,6,1,30,1,6,1,30,1,6,1,30,2,28,1,30,1,28,1,6,3,28,2,6,1,30,3,6,1,30,1,28,2,30,3,6,1,30,2,6,1,28,1,6,1,29,1,30,1,6,1,13,1,6,1,7,1,30,1,6,4,13,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,28,1,6,1,30,2,6,1,30,1,29,1,30,1,6,1,28,1,30,1,7,1,6,1,7,1,13,1,6,2,30,1,13,1,6,3,30,1,6,2,30,2,6,1,29,1,30,1,6,1,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,5,28,1,6,1,28,1,30,3,28,1,30,2,6,2,30,1,28,1,30,3,6,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,2,6,4,30,1,13,1,6,2,30,1,28,1,6,2,30,1,13,1,6,2,13,1,6,1,30,1,13,1,30,1,6,2,7,2,30,1,6,1,29,1,30,1,6,1,30,1,6,2,30,1,6,2,30,1,7,1,30,1,6,1,30,1,6,2,30,4,29,1,6,1,30,2,28,1,30,2,6,1,30,4,7,1,30,2,6,2,30,4,6,1,9,1,13,1,30,3,6,4,30,1,6,1,30,1,6,1,30,3,29,1,28,1,29,1,30,4,28,4,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,4,6,1,13,1,6,1,13,1,6,1,28,3,8,1,24,1,13,1,9,2,8,1,9,1,8,1,9,1,11,1,17,1,16,1,17,2,11,1,10,1,13,1,9,1,11,2,17,3,9,1,17,1,11,1,17,2,11,1,8,1,6,1,13,2,12,2,11,1,9,1,12,2,9,1,24,1,8,1,24,1,29,1,8,2,9,1,10,1,9,1,12,1,17,1,12,1,17,1,11,1,17,1,11,2,12,1,11,2,9,2,11,3,16,1,11,1,17,4,11,1,12,2,17,1,10,1,13,1,17,1,9,2,11,2,10,1,11,1,9,1,17,1,11,1,9,1,12,1,11,2,9,1,12,1,11,1,9,1,10,1,9,1,10,1,9,1,10,1,9,1,13,1,9,1,11,1,9,1,11,1,9,3,12,1,10,2,11,1,9,1,11,1,13,1,6,1,24,1,9,2,10,1,11,2,9,1,12,3,10,1,17,1,11,1,12,2,17,1,12,1,17,2,11,2,12,3,11,4,9,1,11,1,9,1,12,3,10,1,17,3,12,2,24,1,8,1,29,2,30,2,28,1,30,1,28,2,6,1,29,4,6,1,29,1,25,1,8,1,29,1,30,1,26,1,27,1,25,1,29,1,27,3,30,2,6,1,28,1,30,1,6,1,29,1,6,1,30,1,25,1,6,1,29,1,25,1,29,1,6,1,26,1,8,1,26,2,25,1,8,1,25,1,24,1,10,1,24,5,12,1,10,2,24,1,17,1,8,1,24,1,25,1,24,2,25,2,24,4,8,1,24,2,12,3,24,3,12,1,10,1,24,1,10,1,24,3,10,1,24,2,17,1,24,1,12,1,8,1,17,1,24,1,8,1,12,1,8,1,24,3,8,1,27,1,6,1,27,1,30,1,8,1,30,1,28,1,6,1,29,1,30,1,6,1,28,1,30,2,6,1,30,1,6,1,29,1,6,1,7,1,29,2,13,1,7,1,13,1,29,1,7,1,13,1,8,1,7,2,24,3,7,1,28,13,30,1,8,1,24,1,13,2,8,1,13,1,24,1,8,1,7,1,13,2,7,1,24,1,8,1,24,1,25,2,8,1,24,1,25,1,24,2,7,1,24,1,25,1,24,1,25,2,8,2,24,2,12,1,8,1,24,3,12,1,24,1,13,1,8,1,13,1,24,1,7,1,13,2,7,1,13,1,24,1,8,2,6,1,7,1,13,1,8,1,6,3,8,1,7,2,13,1,8,1,10,3,24,1,13,1,12,1,7,1,24,1,8,2,10,1,9,1,12,3,24,1,8,1,9,1,8,1,13,1,24,1,10,1,24,1,12,2,24,1,10,1,7,1,25,1,24,1,8,1,25,1,24,1,8,1,24,1,8,1,10,1,8,2,24,2,8,1,10,2,24,1,12,1,10,1,17,1,10,1,17,4,12,1,17,16,11,2,9,1,6,2,28,44,29,1,13,3,8,1,9,1,8,2,10,1,13,2,6,1,24,1,9,1,13,1,8,2,12,1,10,2,12,1,11,1,12,1,17,8,9,1,11,1,9,1,16,1,11,1,8,1,10,1,9,2,13,1,8,1,9,1,13,1,9,1,13,4,6,1,13,3,9,1,6,1,9,1,13,1,8,1,13,1,11,1,8,1,13,1,6,1,7,1,13,1,7,1,16,1,8,1,16,1,8,1,13,1,6,1,28,1,30,3,28,31,13,17,9,1,13,2,30,1,29,1,13,1,8,2,13,1,7,1,9,1,13,2,28,1,30,1,6,1,7,1,13,3,7,1,13,1,7,1,6,1,13,1,28,1,6,1,13,3,9,1,13,3,9,1,13,2,8,2,28,1,13,2,6,1,13,1,6,3,13,1,29,1,6,1,13,1,28,1,7,1,13,1,30,1,6,1,13,2,9,1,13,1,8,1,13,1,9,1,13,4,30,1,6,1,13,2,6,1,29,1,8,1,30,2,13,1,30,1,6,2,7,1,30,2,29,1,30,1,6,2,28,1,13,1,7,1,13,1,6,1,30,1,6,1,13,1,30,2,28,28,30,2,28,8,30,1,8,1,15,1,14,1,15,1,9,1,8,1,13,1,24,1,6,2,29,1,6,2,30,1,6,1,28,2,30,1,7,1,6,1,13,1,8,1,13,1,24,2,10,1,12,1,11,1,12,1,13,1,28,7,6,1,24,1,13,1,6,1,28,35,30,1,6,1,8,1,13,1,29,3,13,1,24,1,15,1,12,1,24,1,6,1,28,1,30,2,28,1,30,1,6,1,8,1,9,1,10,1,8,1,29,1,28,4,30,1,13,1,24,1,13,1,28,4,6,2,8,1,24,1,12,1,9,1,17,2,10,1,8,2,29,1,30,1,13,1,12,1,8,1,9,1,28,3,6,1,8,1,24,1,28,49,6,2,17,1,10,1,13,1,28,1,}, {30,1,6,1,30,1,28,34,30,1,28,3,30,1,6,1,7,1,8,1,12,1,9,1,8,2,13,1,6,3,28,2,30,2,8,1,10,1,6,1,28,5,29,1,8,2,13,1,10,1,29,1,30,1,28,10,13,1,24,1,6,1,29,1,28,34,30,1,28,9,30,1,28,1,13,1,6,1,13,1,12,1,13,1,30,1,7,1,29,1,8,2,17,1,11,1,29,1,28,2,13,1,8,1,7,1,6,1,13,1,30,1,6,1,30,1,28,6,30,2,7,1,24,1,8,1,28,6,24,1,9,1,8,2,6,1,13,2,9,1,8,2,24,2,13,1,8,1,9,1,14,1,24,1,6,1,13,1,6,1,29,1,6,1,30,1,28,36,7,1,28,1,8,2,24,1,7,1,28,5,13,1,10,1,17,1,10,1,24,1,8,1,6,1,8,1,24,1,6,1,7,1,30,2,6,1,30,2,29,1,30,3,28,1,29,1,30,1,29,1,13,1,28,1,13,2,15,1,17,2,14,1,8,1,28,15,13,1,6,1,30,1,6,1,30,2,13,1,30,1,28,2,13,1,6,1,30,1,13,1,28,5,30,1,9,1,11,1,9,3,16,1,10,1,9,1,12,1,11,1,9,1,11,1,13,1,11,1,9,1,13,1,8,1,13,1,9,1,13,1,11,1,7,1,11,1,13,2,8,1,9,1,11,1,7,1,13,1,9,1,13,2,8,3,10,1,9,2,8,1,13,1,8,1,11,1,9,1,11,2,9,1,11,1,9,1,13,1,8,1,16,1,11,1,8,1,11,1,9,3,11,1,8,1,13,1,9,1,13,2,9,2,11,1,8,1,11,1,8,1,9,4,13,2,9,2,8,1,11,1,9,1,8,1,9,1,8,1,11,1,10,1,9,2,8,1,16,2,9,1,10,1,17,1,16,1,9,1,16,1,9,1,11,1,9,1,10,1,16,1,11,1,9,2,16,1,13,1,10,2,9,3,11,1,9,1,11,1,16,2,9,3,13,1,29,1,30,1,6,3,29,3,6,1,29,1,6,2,13,1,7,1,8,1,13,1,8,3,13,1,29,1,28,1,30,1,29,1,7,1,30,1,7,1,29,1,6,1,30,1,13,1,6,2,13,1,9,1,6,1,8,2,13,2,8,1,24,1,8,1,9,1,13,1,9,2,13,1,11,1,9,2,13,2,9,1,17,3,11,2,16,1,11,2,16,1,11,1,16,1,10,1,11,1,16,1,9,1,16,1,9,1,10,1,11,1,9,3,11,1,9,4,11,2,8,1,9,1,13,1,8,2,9,2,8,1,9,2,13,2,9,4,11,1,8,1,9,3,8,1,9,1,16,1,10,1,9,3,8,2,9,2,16,1,11,1,9,1,11,1,9,2,11,1,9,4,11,1,9,1,11,1,9,1,16,1,10,1,11,1,16,1,11,1,9,1,11,1,9,1,11,2,10,1,11,4,10,2,9,2,8,2,11,1,9,1,8,1,9,1,8,2,13,1,29,1,6,2,28,3,30,2,28,18,6,1,12,1,11,1,12,2,11,1,8,1,9,1,6,1,24,1,8,2,13,1,24,1,7,1,6,1,13,1,28,1,6,2,30,1,29,2,7,1,29,1,6,1,8,1,17,1,16,1,17,1,11,1,17,2,12,1,10,2,8,1,13,1,8,1,6,1,7,1,30,2,29,2,30,1,29,2,30,1,28,7,29,3,6,2,30,1,6,1,28,1,30,1,29,1,28,32,29,1,28,1,29,2,30,2,6,2,30,1,6,1,30,1,6,1,7,1,6,2,7,1,6,1,7,2,30,1,6,1,7,1,6,1,8,1,13,2,7,1,6,3,13,4,7,1,13,1,28,1,6,1,28,1,6,1,28,1,30,2,28,15,30,1,28,7,6,1,28,1,6,1,7,1,6,1,29,1,30,1,6,2,30,1,6,1,30,1,13,1,28,1,29,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,6,30,3,13,1,28,1,24,1,8,1,13,2,9,1,13,1,12,1,13,1,9,1,16,1,11,2,8,1,9,1,16,2,17,1,16,1,17,1,16,2,9,1,16,4,11,1,16,1,11,3,17,2,11,1,12,1,10,1,9,1,10,1,13,1,9,1,8,1,9,1,13,2,29,1,6,1,28,2,30,1,28,2,30,2,28,1,6,1,30,1,28,1,6,1,29,1,30,1,7,1,6,1,29,1,6,1,13,1,6,1,30,2,28,27,30,1,7,1,13,1,6,1,8,1,13,6,7,3,6,1,13,3,17,10,12,1,11,1,17,1,16,1,17,25,16,2,9,3,8,1,16,3,9,1,11,3,9,1,10,1,9,1,11,3,9,1,11,1,9,1,16,3,11,1,16,1,11,1,16,1,11,2,9,1,11,1,9,1,16,1,9,1,16,1,11,2,16,1,11,6,9,1,11,2,9,2,11,2,9,2,13,1,11,1,9,1,11,2,16,1,11,1,16,2,11,2,9,4,11,1,9,1,11,1,16,1,10,1,16,2,11,1,16,3,11,2,16,4,17,3,16,1,9,1,30,1,28,1,6,1,28,1,30,5,6,1,30,1,28,1,30,1,29,1,30,4,29,1,30,4,6,1,30,1,6,1,30,4,28,1,6,1,30,1,6,1,29,1,28,1,6,1,28,2,6,2,30,1,29,2,30,2,28,2,29,1,28,1,6,1,13,3,29,1,30,1,29,1,30,2,28,1,29,1,30,1,6,1,30,1,28,1,13,1,30,1,6,1,30,2,6,1,30,1,29,1,30,1,6,2,29,1,6,1,30,2,6,1,30,1,6,1,30,3,28,1,30,4,28,3,30,1,28,1,30,3,28,2,30,1,28,2,30,1,28,3,30,1,28,1,30,3,7,1,30,1,29,1,30,1,28,1,30,3,6,1,28,1,30,2,28,1,30,3,6,1,29,1,30,1,29,1,30,3,28,1,30,2,6,1,30,2,29,1,30,1,6,1,30,1,29,2,30,2,28,1,30,4,13,2,30,1,29,1,28,1,6,2,30,4,29,1,30,6,6,1,30,1,6,3,30,2,29,1,6,2,30,1,6,2,30,1,29,1,13,1,28,1,6,2,29,1,30,1,6,3,28,1,30,4,29,1,30,1,28,1,30,2,28,1,29,1,30,2,6,4,29,1,6,2,28,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,2,28,1,30,1,29,1,6,1,30,10,6,1,30,7,28,1,6,1,30,4,29,1,30,2,29,1,28,1,6,2,30,2,6,1,30,1,29,1,30,3,6,1,29,1,30,5,6,3,30,2,6,4,13,1,6,1,13,1,30,1,13,1,6,4,30,1,13,1,6,1,7,1,30,1,6,3,30,2,6,3,30,1,6,4,30,1,6,1,30,6,6,2,30,2,29,1,6,2,30,1,6,1,30,4,28,3,11,1,9,1,6,2,7,1,6,4,30,1,6,1,30,1,28,1,6,1,30,7,28,1,30,3,28,2,6,1,13,1,6,1,30,1,28,1,30,5,28,1,30,5,28,2,30,2,6,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,6,2,28,1,8,1,13,1,28,3,29,1,13,3,8,1,9,4,11,1,16,1,17,3,11,1,9,1,13,1,11,2,16,1,17,2,11,1,10,1,17,2,11,1,17,1,12,1,13,2,8,1,13,1,10,1,11,1,12,2,17,1,13,1,6,3,28,1,13,1,29,1,24,2,9,2,17,2,12,1,17,6,12,1,17,1,12,1,16,1,11,2,17,4,12,2,9,1,10,1,17,1,12,1,10,1,12,1,10,2,9,1,10,2,11,2,9,1,17,1,10,1,17,1,11,2,17,2,9,1,11,1,12,1,11,1,9,1,8,1,12,1,9,1,11,2,9,1,8,1,11,2,9,2,12,1,9,1,10,1,8,1,9,3,11,1,9,1,10,2,12,1,8,2,17,1,10,4,9,1,12,1,17,1,12,1,11,1,9,1,11,1,17,2,11,2,12,1,10,2,11,1,10,2,9,1,11,3,9,1,11,1,10,1,11,1,17,5,12,1,24,1,8,1,29,3,28,4,29,1,28,1,29,1,28,1,29,1,28,1,8,1,6,2,26,1,25,1,8,1,26,1,8,1,6,1,26,2,30,1,28,1,29,1,30,1,6,2,30,1,27,2,30,1,25,1,29,1,6,3,8,1,25,1,26,1,8,1,24,1,8,4,10,1,7,1,8,1,10,1,24,1,10,1,24,1,12,1,6,1,24,2,12,2,10,1,12,1,8,1,24,1,12,1,24,1,12,1,24,1,10,1,8,2,24,2,25,1,12,1,10,1,12,1,24,1,10,1,8,1,10,1,8,1,12,2,24,2,12,1,17,1,10,1,12,1,24,2,10,1,24,1,12,1,24,2,25,1,24,2,25,1,27,1,30,1,29,1,30,2,26,1,30,1,27,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,28,1,6,1,7,1,28,1,30,1,6,1,29,1,30,1,29,1,7,2,8,1,7,1,13,2,6,1,13,1,24,3,8,1,28,13,8,2,24,1,8,1,24,1,7,1,8,2,13,1,24,1,7,1,24,1,8,2,7,1,24,1,8,1,25,1,8,3,24,1,7,1,6,1,8,1,24,2,25,1,24,2,25,1,10,2,24,3,8,1,10,1,24,3,13,1,10,1,12,1,24,2,10,1,6,1,13,1,10,1,13,1,8,1,13,2,8,1,30,1,6,1,8,1,13,2,10,1,8,1,24,1,10,1,24,1,12,1,24,1,12,1,24,1,13,1,8,2,17,1,8,1,12,1,24,1,10,1,17,1,24,1,12,2,9,1,7,1,24,1,12,1,10,1,24,1,8,1,24,3,6,1,10,1,8,1,12,1,24,3,8,1,24,5,8,3,24,1,10,2,12,1,17,2,12,1,17,1,12,1,17,17,11,2,12,1,8,1,13,1,30,1,28,44,6,2,13,2,9,1,8,1,12,1,10,2,9,1,13,3,8,1,10,1,13,1,7,1,13,1,8,1,9,1,10,3,12,1,17,5,11,1,9,1,11,1,9,3,11,1,9,1,10,1,9,1,13,1,9,1,13,2,9,2,8,1,13,1,7,1,13,4,6,1,13,1,8,1,13,3,16,1,9,1,13,1,8,1,6,3,13,1,8,1,9,1,16,1,13,1,9,1,6,1,30,3,28,32,8,1,13,4,9,1,13,1,9,1,13,5,7,1,13,1,8,1,9,1,13,3,6,2,13,1,6,1,7,2,30,1,13,1,6,1,30,1,6,1,28,1,13,1,6,1,28,2,30,1,13,1,30,2,7,1,13,1,30,1,8,3,13,5,9,1,13,2,6,1,7,1,8,1,13,1,9,1,13,1,8,1,13,4,6,1,13,1,6,1,7,1,13,3,7,1,13,2,30,1,13,7,6,1,8,1,6,3,28,1,30,1,13,1,30,1,6,1,7,1,30,1,6,1,13,1,28,1,13,1,28,1,6,1,30,1,6,1,13,2,6,1,7,1,13,1,6,2,28,1,6,1,30,2,28,28,30,2,28,9,8,1,14,2,15,1,24,1,9,1,8,1,13,2,6,1,29,1,6,2,28,1,29,1,30,2,6,1,30,1,7,1,13,1,8,1,13,2,15,3,11,1,12,1,6,1,28,7,8,1,15,1,8,1,6,1,28,1,30,1,28,33,30,1,24,1,8,1,6,1,30,2,6,1,24,1,9,1,10,1,24,2,29,1,7,1,28,2,29,1,28,1,6,1,8,1,10,1,8,1,13,1,29,1,28,4,30,1,8,2,13,1,28,3,30,1,29,1,6,1,13,1,24,1,12,1,10,1,16,1,9,1,10,1,8,1,6,3,13,1,15,1,9,1,7,1,30,1,28,1,30,1,28,1,13,2,28,49,30,1,13,1,17,1,10,1,7,1,28,1,}, {6,1,30,1,13,1,28,38,30,1,29,1,6,1,13,1,8,1,24,1,13,4,28,1,6,2,28,3,8,1,17,1,29,1,28,6,7,1,9,1,24,1,13,1,29,1,30,1,28,10,8,1,14,1,29,1,28,39,30,1,28,5,30,1,29,3,6,2,8,1,28,1,13,1,8,1,30,1,13,1,17,2,9,1,30,2,7,1,13,1,7,2,13,1,6,1,13,1,29,1,6,1,28,6,30,1,7,1,13,1,8,1,28,6,12,1,24,2,13,1,8,1,13,2,8,2,13,1,9,1,8,2,9,1,12,1,14,2,7,1,6,2,7,1,30,3,28,35,6,1,28,1,29,1,24,1,12,1,8,1,29,1,28,3,30,1,28,1,10,1,8,1,24,1,10,1,8,1,7,1,8,1,24,1,6,1,7,2,6,1,30,2,28,1,30,1,28,1,29,1,30,2,28,1,30,1,7,1,6,2,13,1,24,1,10,1,17,2,14,1,8,1,28,15,13,3,6,1,30,1,6,1,13,1,30,1,13,2,6,1,30,2,28,3,30,1,28,2,30,1,9,3,10,1,9,1,11,1,9,1,16,1,11,1,9,1,8,1,11,1,8,1,13,2,11,1,9,1,13,1,9,2,11,1,9,1,8,1,9,2,8,1,9,1,11,1,13,1,9,1,16,1,6,1,8,1,9,2,11,1,9,2,10,1,9,2,8,1,9,1,11,2,16,1,9,1,11,1,9,2,16,1,9,2,11,1,9,1,11,2,10,1,13,1,9,1,8,3,9,1,8,1,16,1,13,1,10,1,9,5,10,1,8,1,10,1,7,1,9,2,13,1,9,5,11,1,10,1,11,2,8,1,6,1,13,1,16,2,11,2,16,1,10,1,9,1,8,1,11,1,10,1,9,1,16,1,8,1,9,1,11,1,9,3,16,1,9,1,16,3,11,2,16,1,9,1,13,2,30,1,7,1,6,1,28,1,30,3,28,1,6,2,28,1,6,1,8,1,13,1,8,1,9,1,16,1,9,1,13,1,30,1,6,1,30,1,29,1,6,1,7,1,30,1,8,1,28,1,13,1,29,2,6,1,13,3,8,1,7,1,13,1,6,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,10,1,8,1,9,3,17,5,11,4,16,3,11,1,16,1,11,1,16,1,11,1,9,1,11,2,9,1,12,1,11,2,9,1,11,2,10,1,13,1,9,6,8,1,9,2,13,1,9,1,8,1,9,5,8,1,9,1,11,1,9,1,11,2,8,1,11,1,9,2,11,1,9,6,11,1,9,1,10,1,9,2,10,2,11,1,9,4,10,1,11,1,9,1,11,5,10,1,11,1,9,2,10,1,11,1,9,1,12,1,11,1,10,1,9,1,11,1,9,1,10,1,13,2,11,1,9,1,8,2,13,2,8,1,6,1,13,1,30,1,29,1,30,1,28,1,30,1,28,19,6,1,17,1,12,1,9,1,8,1,9,1,13,1,9,1,8,2,13,3,6,1,7,1,6,1,7,1,29,1,30,2,29,1,6,1,30,1,28,1,6,1,28,1,7,1,8,1,9,1,17,3,11,1,17,1,10,1,9,1,8,1,13,1,6,2,13,1,30,1,28,3,29,1,30,1,28,9,30,2,13,1,6,2,30,1,7,1,6,1,29,1,28,33,6,1,29,1,28,1,30,1,6,2,29,2,28,1,7,1,29,1,6,1,28,1,13,1,6,1,30,1,29,1,7,1,29,1,30,1,13,1,6,2,28,1,7,1,30,1,6,1,7,1,8,1,13,1,6,1,13,1,29,2,7,1,6,1,30,1,29,2,30,1,28,27,29,1,28,2,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,28,1,29,1,28,1,7,1,28,1,30,1,28,1,29,1,28,8,30,1,28,1,7,1,29,1,13,1,30,1,7,1,6,2,13,3,9,1,11,1,9,1,11,1,9,3,16,1,17,1,16,1,17,1,16,1,17,6,16,1,17,3,11,1,12,1,17,3,12,1,17,1,9,1,17,1,16,1,17,1,8,1,9,1,13,2,7,1,6,2,30,2,28,1,30,1,28,2,30,2,29,1,6,1,29,1,6,1,30,1,28,2,6,2,30,1,7,1,6,1,28,2,6,1,28,24,30,1,7,1,13,1,24,1,13,1,8,1,13,3,7,2,13,1,8,1,6,1,13,1,7,1,29,1,13,1,17,9,12,1,10,1,12,1,11,2,9,1,11,1,9,1,17,22,11,1,16,1,9,2,10,1,8,1,9,1,13,1,9,1,13,1,9,3,16,2,9,5,16,9,11,1,9,1,11,1,9,2,11,4,16,3,9,2,11,2,9,1,11,1,9,2,11,1,9,4,11,1,16,1,9,2,11,1,9,1,11,1,9,1,11,4,9,3,11,1,9,2,11,1,16,7,11,2,16,4,17,5,13,1,28,1,30,2,29,1,30,13,29,1,30,2,29,1,30,1,6,1,29,1,30,1,6,1,30,3,6,1,28,1,30,1,28,2,30,5,28,1,30,1,29,1,30,1,29,1,30,5,7,1,13,3,6,2,13,1,30,1,28,1,29,1,6,1,30,4,6,1,13,1,30,1,29,1,6,2,30,3,28,1,30,1,28,1,6,1,30,1,6,1,30,2,29,1,6,1,30,2,28,1,30,7,28,2,30,2,28,1,30,1,28,1,29,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,5,6,1,28,1,30,2,28,1,30,5,29,1,30,4,6,1,30,2,6,1,29,1,30,1,29,1,28,1,29,1,6,2,30,2,28,1,29,1,30,1,6,1,30,2,28,2,6,2,13,2,28,1,6,2,30,4,6,2,30,1,29,1,30,7,7,1,6,2,7,1,29,1,7,1,30,2,7,1,6,6,13,1,6,1,29,1,6,1,30,1,6,2,29,1,6,1,29,2,6,4,29,1,6,1,29,1,6,3,13,1,30,1,6,5,30,4,7,1,30,6,6,1,30,2,6,1,30,7,29,1,30,2,29,1,30,3,6,1,30,3,28,1,30,2,28,1,30,1,28,1,6,1,30,3,29,1,30,2,28,1,30,1,29,1,28,1,30,1,6,1,30,2,6,1,30,2,6,6,30,1,7,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,6,1,29,1,6,3,30,1,6,3,30,2,7,1,30,1,6,2,30,1,6,2,30,1,6,2,30,1,6,2,30,1,6,1,13,1,6,2,30,1,6,3,30,1,28,1,6,1,30,1,6,1,30,2,6,1,30,3,13,2,8,1,6,1,28,1,6,1,30,1,6,6,30,2,6,1,30,1,28,1,30,1,29,1,30,2,6,1,30,3,6,1,30,3,6,1,30,2,6,1,28,1,30,2,28,2,30,2,28,2,30,2,28,1,30,2,28,1,30,4,28,3,30,3,28,1,30,1,6,1,28,1,30,1,6,1,30,1,28,3,6,1,8,1,24,1,8,2,9,1,13,1,9,1,17,5,9,4,12,1,16,1,11,1,17,1,11,3,17,3,12,1,13,4,8,1,9,1,16,1,9,1,11,1,7,1,6,1,28,1,29,1,28,1,29,2,13,1,10,1,8,1,10,1,12,1,9,2,8,1,9,2,17,7,16,1,17,5,11,1,10,2,8,1,24,1,12,1,10,1,11,1,10,1,9,1,11,1,10,1,11,2,17,1,9,1,11,2,9,1,17,1,11,1,17,1,10,1,11,1,9,1,10,1,9,2,10,1,12,1,11,2,12,1,8,1,9,2,12,1,8,1,9,1,8,1,12,1,9,1,12,1,11,1,10,2,24,1,9,1,11,1,9,6,10,2,9,2,8,1,12,1,10,1,12,1,10,1,11,1,17,1,11,1,12,1,17,1,12,1,11,2,10,1,9,1,10,1,9,1,12,1,10,1,12,1,9,2,11,1,12,1,17,6,13,1,8,1,6,1,30,1,29,2,28,1,30,1,28,3,29,1,25,1,30,2,28,1,29,1,6,3,25,1,6,1,25,1,6,2,30,2,29,4,30,1,29,2,7,1,6,1,7,1,29,1,6,1,7,1,6,2,8,1,25,1,24,1,25,2,8,1,25,1,24,1,12,3,13,1,24,2,10,1,24,3,12,1,24,1,12,1,8,1,24,3,8,2,24,1,10,1,24,2,10,1,24,1,12,1,24,2,12,1,24,1,25,1,10,1,24,3,12,1,17,2,10,1,12,1,24,1,12,1,10,1,12,1,10,1,24,4,10,1,24,3,29,1,25,1,30,2,29,1,6,1,30,1,26,1,29,2,6,1,30,1,7,1,29,2,6,1,29,2,6,3,29,1,6,1,13,1,7,1,6,1,8,1,25,1,13,1,25,1,8,1,6,1,13,1,24,3,8,1,29,1,28,11,30,1,7,1,9,1,8,3,6,1,13,1,24,1,8,2,6,1,13,2,8,1,13,1,8,1,7,1,25,1,24,1,25,4,24,1,25,1,6,1,10,1,25,1,24,1,8,1,24,2,8,3,10,1,8,1,10,1,8,1,24,2,10,1,7,1,9,1,24,2,8,1,6,1,24,2,13,2,6,1,8,1,13,5,7,1,8,1,7,1,24,1,8,1,9,1,8,1,24,1,8,1,10,1,8,1,13,1,10,1,13,1,7,1,9,2,10,3,12,1,9,1,10,1,24,1,12,1,24,2,10,1,8,1,24,2,8,4,25,1,24,1,8,1,24,1,25,1,24,1,10,1,25,1,10,1,13,1,24,3,12,1,10,1,8,1,17,1,10,1,17,3,12,1,17,17,11,1,17,1,11,1,13,1,30,1,28,46,6,1,13,2,6,1,9,1,10,1,13,1,9,2,8,3,10,1,8,1,7,1,13,1,10,1,8,1,9,1,12,1,17,1,10,1,12,1,17,4,11,3,10,1,9,7,13,1,9,3,13,8,30,1,13,3,8,1,9,2,16,2,9,1,13,3,6,2,11,2,9,2,13,1,6,1,30,1,6,1,28,32,30,1,9,2,13,1,8,1,13,4,8,1,13,7,8,2,13,1,6,1,13,1,6,2,13,2,30,1,13,1,7,1,6,2,30,1,6,2,30,2,6,1,13,1,7,1,13,1,7,1,30,2,6,1,13,9,9,1,8,1,7,2,13,2,9,1,7,1,13,4,6,2,13,1,6,1,7,1,6,1,13,1,30,1,13,1,6,1,8,1,13,1,16,1,13,2,8,1,13,2,9,1,13,1,30,2,8,1,28,1,6,2,7,1,6,1,30,1,6,1,13,2,6,2,7,1,28,1,30,1,6,1,28,1,30,1,6,1,13,3,6,2,30,1,28,1,30,2,28,28,13,1,28,10,11,1,14,1,16,2,10,1,9,1,13,2,8,1,28,1,29,1,30,2,28,3,29,1,6,1,30,1,7,1,13,2,8,1,9,1,24,1,9,1,12,2,8,1,6,1,28,7,7,1,12,1,13,2,30,1,28,33,30,1,29,1,15,1,8,2,7,1,28,2,8,1,9,1,8,2,6,1,29,3,30,2,29,1,6,1,8,1,13,1,9,1,7,1,6,1,28,5,8,1,9,1,13,1,28,4,6,1,13,1,8,1,9,1,12,1,9,1,12,1,10,1,8,1,13,1,30,2,7,1,8,1,14,1,8,1,13,1,28,3,6,1,7,1,13,1,30,1,28,49,13,1,17,1,12,1,6,1,28,1,}, {6,2,13,1,28,39,6,2,8,1,12,1,8,1,10,1,13,1,6,1,13,1,6,2,28,3,7,1,24,1,14,1,8,1,30,1,28,5,6,1,8,1,13,1,8,1,6,1,29,1,28,9,29,1,24,1,9,1,6,1,28,42,30,1,28,1,6,1,28,1,30,1,6,2,7,1,10,1,13,1,24,1,29,1,8,1,13,1,8,1,17,1,12,1,6,1,30,2,13,1,7,1,8,1,7,1,13,1,6,1,13,1,7,1,30,1,28,7,6,1,13,1,6,1,30,1,28,5,7,1,17,1,10,1,24,1,13,2,30,1,8,1,13,1,9,1,24,1,8,2,12,1,17,2,9,1,13,2,30,1,29,1,30,1,6,1,28,37,30,1,7,1,8,1,14,1,24,1,29,1,28,5,24,1,8,2,10,1,24,1,8,2,7,1,13,2,6,2,29,3,6,1,28,2,30,2,6,1,29,1,30,1,13,1,29,1,6,1,13,1,8,1,17,3,9,1,28,10,30,1,28,4,13,1,6,2,13,1,6,1,13,1,6,2,7,1,30,2,29,1,28,7,7,1,9,3,8,1,16,1,9,1,11,1,16,1,11,1,9,1,17,1,11,2,8,1,11,2,13,1,9,1,11,1,8,1,9,5,10,1,9,4,8,1,10,1,13,1,11,1,8,1,11,1,8,1,11,1,9,2,13,1,11,1,9,1,11,2,9,1,11,1,9,2,8,1,9,2,8,1,9,1,13,1,9,1,13,1,9,1,10,1,9,1,8,1,13,1,9,2,8,1,16,1,10,1,16,1,9,1,13,1,9,2,11,1,9,2,8,1,13,1,9,2,8,2,9,2,13,1,8,1,10,1,11,2,16,3,17,1,10,1,11,1,9,3,11,1,8,1,9,1,11,1,9,1,11,1,16,1,13,1,8,1,9,2,11,2,16,2,11,2,16,3,11,1,10,1,9,1,13,1,6,1,30,2,7,1,30,1,6,1,30,1,6,1,30,2,28,1,13,1,7,1,6,1,13,1,8,1,11,1,10,1,7,1,6,1,30,1,29,1,6,1,28,1,29,1,28,1,13,1,6,1,13,1,7,1,6,4,13,1,7,1,6,1,9,1,13,2,24,1,8,1,13,1,8,3,10,1,13,1,11,1,13,1,8,1,11,1,17,5,11,1,10,2,9,3,16,3,9,1,11,1,16,1,11,1,16,1,11,1,9,2,8,2,9,4,11,2,9,3,8,1,9,2,8,1,9,2,8,2,11,1,9,1,8,1,9,2,8,1,9,3,10,1,11,1,9,2,11,2,9,1,10,1,9,2,11,1,9,2,11,1,10,1,9,1,11,1,9,3,13,1,10,1,9,1,10,1,9,2,10,1,9,2,11,3,10,1,11,1,16,1,10,1,9,1,16,1,9,1,11,1,9,1,11,1,9,4,8,1,9,1,13,1,11,1,9,2,11,1,10,1,6,1,8,1,13,1,6,1,29,1,30,1,28,22,10,1,11,2,12,1,9,1,24,1,9,1,13,1,24,1,13,1,6,1,13,1,8,1,29,1,7,1,6,1,29,1,30,1,28,1,30,1,28,7,13,1,9,1,12,2,17,3,9,3,6,1,7,1,29,1,28,19,6,1,29,1,7,1,29,1,7,1,28,36,30,1,29,1,28,1,30,1,6,1,30,1,6,1,28,1,29,1,30,2,29,3,30,1,6,1,30,3,28,1,6,1,30,1,6,5,7,1,30,1,6,3,30,1,6,2,28,28,30,1,28,6,6,1,30,1,28,2,6,1,30,1,29,1,30,1,28,3,29,1,28,9,30,1,28,1,30,1,28,1,13,1,6,1,13,1,29,1,7,1,13,2,7,1,13,2,8,1,9,2,11,1,13,1,9,1,13,1,16,1,17,1,16,1,17,4,16,1,17,2,11,1,17,3,11,1,12,1,11,2,12,1,9,1,11,1,10,1,9,1,11,1,8,1,11,1,9,5,28,1,30,1,6,1,28,2,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,13,1,6,1,30,1,6,3,29,1,6,1,28,24,30,2,6,1,13,2,8,1,13,1,8,2,6,1,8,1,13,3,7,1,13,1,7,1,6,1,24,1,17,12,11,1,16,1,12,1,17,1,9,1,17,22,16,1,11,3,13,2,9,1,8,1,9,3,11,1,9,2,11,1,9,1,11,1,9,3,16,1,9,1,16,6,11,3,9,1,11,2,16,1,9,1,16,2,9,1,11,3,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,9,2,11,1,16,1,9,1,11,2,9,1,16,2,11,1,16,1,11,1,9,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,11,1,16,4,11,2,16,1,11,3,16,2,17,4,11,1,13,1,28,1,30,11,6,1,30,7,6,1,30,5,28,1,30,7,28,1,30,5,28,1,30,1,6,1,29,1,30,1,6,1,30,3,13,2,6,1,29,1,30,2,28,1,30,1,6,1,30,1,28,1,30,1,28,2,29,1,7,1,30,1,28,1,30,1,29,1,30,4,6,1,30,2,6,1,30,3,28,1,6,1,30,2,6,1,30,3,6,1,28,1,30,1,28,1,30,4,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,3,6,1,30,1,29,1,30,4,6,1,30,7,28,3,6,1,30,3,6,2,30,3,6,1,30,4,6,1,28,1,6,1,28,1,6,2,30,4,6,1,13,1,30,2,6,1,30,1,28,1,6,3,30,3,6,1,29,1,6,1,30,1,6,1,30,2,6,4,29,1,6,1,30,1,6,1,7,1,6,2,30,1,7,1,6,1,30,1,6,5,30,5,6,1,30,1,6,2,29,1,30,2,6,1,30,5,6,3,13,1,6,1,30,2,6,1,30,3,6,1,30,1,28,1,13,1,30,1,6,1,30,1,28,1,30,2,6,1,30,2,6,1,28,1,30,1,28,1,30,1,6,1,30,1,6,1,30,2,6,1,30,2,29,1,6,1,30,1,6,1,30,2,6,1,30,1,28,2,6,1,30,1,29,1,30,4,29,1,30,5,6,1,30,3,6,1,30,1,29,1,6,1,30,1,6,1,7,1,30,1,6,2,7,3,13,1,6,2,13,1,6,2,13,1,6,2,29,1,13,1,6,6,29,1,6,1,13,1,6,1,30,1,7,1,6,1,30,1,6,10,13,1,6,1,30,3,7,1,6,5,28,1,30,2,29,1,13,1,9,1,7,1,28,1,30,2,28,1,6,4,30,1,6,6,13,1,6,1,29,1,30,8,6,2,30,3,28,1,30,2,28,1,30,4,28,1,30,1,6,1,30,4,28,1,30,1,28,2,30,2,6,1,28,1,30,3,6,1,28,5,29,1,28,3,13,1,9,1,13,2,11,1,8,1,16,1,17,1,9,1,16,1,17,1,16,1,9,4,12,1,11,1,16,1,12,1,11,1,12,1,11,1,17,1,12,1,17,1,11,1,13,1,6,1,13,1,7,1,8,1,12,3,9,1,6,1,7,1,30,1,29,1,24,1,8,1,12,1,9,1,11,2,8,1,13,1,30,1,7,1,6,1,7,2,8,1,9,2,17,1,11,1,17,7,11,1,9,1,8,2,24,1,8,1,24,1,10,2,9,1,24,1,11,2,9,1,12,1,11,1,17,1,11,3,12,1,11,2,17,1,9,1,10,1,11,2,12,1,10,1,11,1,8,1,11,1,12,1,9,2,10,1,17,1,9,1,11,2,9,2,12,1,11,1,10,2,11,1,9,1,10,1,9,2,12,1,11,1,12,1,17,1,9,1,11,1,10,1,9,1,11,1,9,2,11,2,17,1,11,2,17,1,11,2,10,1,11,1,10,1,12,1,10,1,9,1,11,2,10,1,12,1,17,1,10,1,11,1,17,5,24,1,8,1,7,1,6,1,30,1,29,1,28,4,30,1,28,1,29,1,30,1,29,1,30,2,29,3,6,2,8,1,30,1,7,1,27,1,6,2,27,2,28,1,30,1,29,1,27,1,6,2,30,3,6,1,29,1,8,1,7,1,8,2,24,1,8,2,24,1,8,1,10,1,24,2,12,1,24,1,8,1,12,1,10,1,12,1,24,2,12,1,24,1,17,1,10,1,24,2,12,1,10,1,24,10,12,1,24,1,12,1,24,2,12,1,10,2,24,3,17,1,12,1,17,1,12,1,24,1,10,1,8,2,24,4,8,1,27,1,25,2,8,1,29,1,30,1,29,2,8,1,26,2,27,1,26,1,27,2,6,1,25,1,7,1,29,1,6,1,7,1,29,2,30,1,29,1,6,2,7,1,25,2,6,1,8,2,7,1,13,1,8,1,24,2,6,1,28,11,30,1,9,1,13,1,8,2,13,1,8,3,6,1,8,1,24,2,6,1,24,1,8,1,13,1,25,1,8,1,10,1,25,1,24,2,25,1,24,1,8,1,24,1,8,2,24,1,25,1,8,1,24,1,8,1,7,1,13,1,8,2,10,1,8,2,10,1,24,2,10,1,8,1,12,1,13,1,8,1,13,1,6,1,8,1,13,1,7,1,13,1,7,1,8,2,7,1,24,1,13,1,7,2,8,1,10,1,24,1,8,1,12,1,10,1,8,1,12,1,10,1,8,1,13,1,10,1,9,4,12,2,17,1,24,4,17,1,24,1,17,1,24,1,13,1,8,1,24,1,8,1,24,1,8,1,10,1,8,3,24,1,7,1,8,1,24,1,10,1,24,2,10,1,24,2,10,1,17,1,12,1,17,1,12,1,17,20,11,2,13,1,28,49,7,1,24,1,8,1,12,1,9,1,8,1,13,2,8,1,13,1,9,1,13,1,8,1,13,1,10,1,12,1,9,2,12,1,11,1,12,1,17,4,12,1,16,1,11,2,9,1,8,1,11,1,16,1,11,1,16,1,9,2,13,1,9,1,13,1,9,2,13,1,8,1,6,3,13,1,30,1,13,4,9,1,8,1,16,1,9,1,11,2,13,4,9,1,11,1,13,1,8,1,11,1,30,1,6,1,13,1,28,1,29,1,28,30,6,1,13,1,9,1,13,3,7,1,8,2,13,4,6,2,13,1,7,1,13,1,6,1,28,1,6,1,13,1,6,2,13,1,6,1,28,1,13,3,6,1,29,1,6,3,30,2,6,2,7,1,30,1,13,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,9,1,13,7,7,1,9,1,30,1,13,1,7,1,13,1,9,2,6,2,13,1,7,1,30,1,6,1,30,1,13,3,6,1,13,2,8,1,13,1,8,1,13,1,6,1,7,1,28,2,30,1,6,1,13,2,7,1,30,1,8,1,13,1,6,1,30,1,6,1,13,1,29,1,6,1,30,1,13,2,30,1,6,1,13,4,6,1,30,1,28,31,29,1,28,10,10,2,16,1,12,1,10,2,13,1,8,1,13,1,7,1,6,1,29,1,30,1,28,1,29,1,6,1,29,2,13,1,6,1,7,1,13,1,8,1,12,1,10,1,24,1,10,1,12,1,11,1,30,1,28,7,8,1,24,1,13,2,29,1,30,1,28,29,30,1,28,3,29,1,10,1,8,2,28,1,29,1,28,1,12,1,9,1,8,2,6,2,28,1,6,1,29,2,6,1,13,1,8,2,9,2,28,6,9,2,29,1,28,3,30,1,28,2,6,1,8,1,9,1,17,1,12,2,13,1,6,1,8,1,29,1,30,1,13,1,15,1,8,1,7,1,28,3,6,2,13,1,28,49,30,1,24,1,17,1,13,1,6,1,28,1,}, {28,1,6,1,30,1,28,39,6,1,13,2,10,1,9,2,8,1,6,2,7,1,29,1,28,2,30,1,29,1,8,1,10,1,13,1,28,6,7,2,24,1,6,3,28,9,29,1,13,1,14,1,6,1,28,43,30,2,6,4,7,1,17,1,13,1,24,1,8,1,13,1,8,1,11,1,12,1,17,1,8,1,30,1,6,1,30,1,6,1,30,1,13,1,8,2,13,1,6,1,28,8,6,1,8,1,13,1,6,1,28,4,6,1,29,1,17,1,24,1,8,2,24,1,30,1,13,1,24,1,13,1,9,1,24,1,9,1,12,1,10,1,17,1,24,1,6,1,29,5,28,33,30,1,28,4,6,1,12,1,15,1,24,1,6,1,28,4,30,1,9,2,8,1,24,2,13,1,8,1,13,2,7,1,13,1,6,2,30,1,29,1,28,4,30,1,29,2,30,1,29,2,6,1,13,1,10,1,17,3,15,1,30,1,28,9,30,1,29,1,28,3,6,1,7,1,13,1,29,1,6,1,30,1,7,1,6,3,7,1,6,1,28,7,6,1,13,1,11,1,9,1,11,1,9,1,11,1,17,1,11,1,8,1,9,2,17,1,11,1,9,5,10,1,9,4,10,1,11,1,9,1,8,1,11,2,9,1,13,2,8,3,10,1,9,1,8,1,9,1,11,2,8,1,9,1,11,1,16,1,9,1,16,1,11,1,9,2,8,1,9,2,13,1,8,1,9,1,8,1,9,1,16,1,13,1,9,2,8,1,9,1,16,1,11,1,9,1,13,1,9,1,8,1,9,1,11,1,8,1,9,2,8,2,9,2,10,1,9,2,16,1,11,1,16,1,9,4,16,1,9,1,16,1,13,1,16,1,11,1,9,1,10,1,9,1,11,3,16,1,9,3,11,1,17,1,11,1,9,1,10,1,16,1,9,1,16,3,9,1,16,2,8,1,11,1,7,2,6,1,28,1,30,1,28,2,30,1,6,1,13,1,29,1,7,1,6,2,13,2,9,1,11,2,8,1,30,3,6,2,30,1,6,1,30,1,6,1,13,1,30,1,29,1,6,1,8,2,6,1,13,2,9,1,13,1,6,1,9,1,8,1,9,2,24,1,9,2,13,1,9,2,8,1,13,1,12,1,17,4,11,5,16,2,9,1,11,5,10,1,8,1,11,1,9,1,11,1,10,1,9,1,11,1,9,2,8,1,9,2,10,1,9,1,11,1,8,1,9,4,8,1,9,1,8,1,9,1,13,1,9,6,8,1,9,1,11,1,9,4,16,1,9,2,16,1,13,1,9,1,11,1,9,1,11,1,16,1,9,5,10,1,8,1,10,2,9,3,11,1,9,4,10,1,9,1,16,1,11,1,9,1,11,2,10,1,16,1,9,1,11,1,9,1,13,1,8,2,9,1,10,1,8,1,7,1,8,2,6,1,7,2,28,24,10,1,9,1,10,1,11,1,10,2,8,1,24,1,13,3,6,1,29,1,7,1,6,1,28,1,30,1,28,4,30,1,28,6,29,1,10,1,12,1,17,2,16,1,17,1,11,1,8,1,7,2,29,1,28,19,30,1,28,2,29,1,30,1,28,37,29,1,30,2,28,1,30,1,28,1,29,1,28,1,30,1,29,1,28,2,29,1,28,1,29,1,28,1,30,1,29,1,28,1,6,1,29,3,6,2,30,1,29,1,30,1,7,1,6,4,28,33,30,1,28,2,30,2,29,1,28,2,30,2,29,1,28,18,29,2,7,1,6,1,13,4,8,2,13,1,8,1,9,1,13,1,9,1,13,1,9,1,16,1,17,3,16,2,11,1,9,1,11,2,16,1,8,1,11,1,8,1,11,1,10,2,9,2,11,1,8,4,13,3,8,1,13,1,8,1,11,1,8,1,13,1,6,1,7,1,29,1,30,1,29,1,28,1,29,3,28,2,30,1,6,1,28,1,7,1,29,1,6,1,13,1,6,4,29,1,28,24,30,1,13,1,6,1,7,1,8,3,6,1,13,1,7,1,13,1,7,1,13,1,7,1,29,2,12,1,17,39,16,1,9,1,11,1,9,2,11,1,13,1,9,5,11,2,9,2,11,2,9,2,11,1,16,1,9,1,11,1,16,2,9,1,16,1,9,2,11,3,9,1,11,2,16,1,11,2,16,2,11,2,16,1,9,1,16,1,11,1,17,1,16,1,11,1,9,9,11,9,16,1,9,1,11,1,9,1,16,3,11,2,16,4,11,1,16,3,17,5,9,1,6,1,28,2,30,5,28,1,30,14,6,1,30,1,28,2,30,1,28,1,30,1,28,3,6,1,30,1,6,1,30,1,6,3,30,2,28,1,30,1,28,1,30,4,28,1,13,2,6,1,30,1,28,3,30,1,29,1,28,1,30,1,28,1,30,2,13,1,6,1,28,1,30,2,28,1,30,2,6,1,30,4,6,1,30,3,6,1,30,3,28,2,30,1,28,1,30,2,6,1,28,1,30,3,28,2,30,1,6,1,30,3,29,1,30,1,28,2,13,1,30,6,28,1,30,7,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,6,2,28,1,6,3,30,6,6,1,30,4,28,1,6,1,30,2,8,1,6,2,30,1,6,1,30,4,28,1,30,1,29,2,6,1,29,1,30,2,6,3,30,1,6,1,30,1,13,1,30,1,6,1,7,3,29,1,6,2,30,1,6,1,13,2,6,1,7,1,6,4,30,1,6,2,30,1,6,3,28,1,30,3,29,1,6,2,30,1,6,1,30,1,6,2,29,1,30,1,6,1,30,1,6,2,30,3,29,1,30,2,6,1,30,1,6,2,30,6,29,1,30,1,6,1,29,1,6,1,30,2,28,1,30,1,29,1,6,2,30,2,29,1,30,2,29,1,6,1,30,7,29,1,30,2,6,1,30,4,6,2,13,1,6,3,29,1,6,2,29,1,30,2,6,4,13,1,6,5,13,1,29,1,6,4,30,1,6,1,30,1,6,3,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,2,6,1,28,1,6,2,30,1,6,4,29,1,7,1,30,2,6,2,30,1,13,1,6,4,13,1,11,1,9,1,30,1,6,4,30,1,6,1,29,1,6,1,30,3,13,1,30,1,13,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,2,13,1,29,1,30,6,28,2,30,4,28,1,6,1,30,5,28,1,30,4,28,2,30,3,28,1,30,3,28,4,30,1,28,3,30,1,9,1,8,1,9,1,11,1,8,1,11,1,16,1,11,1,17,2,11,1,9,3,10,1,11,1,16,1,11,1,9,1,12,1,11,1,10,1,11,1,17,2,11,1,13,2,6,1,7,1,13,1,8,1,10,1,9,1,24,1,13,1,6,1,29,1,6,1,24,3,12,1,10,1,8,1,7,1,6,2,7,1,13,1,7,1,29,1,6,1,30,1,8,1,10,1,17,9,9,2,8,1,9,2,13,1,8,1,24,1,12,1,24,1,9,1,11,2,17,1,9,1,17,2,10,1,12,1,11,1,17,1,10,1,11,1,12,1,9,1,11,2,9,1,8,1,24,1,9,1,10,1,9,2,8,1,9,1,11,1,9,2,10,2,12,1,9,1,12,1,10,1,11,1,9,1,11,1,12,1,11,1,10,1,9,2,10,1,11,1,9,1,12,1,10,1,9,2,11,3,10,1,11,1,12,2,11,1,10,2,11,1,17,1,9,1,10,1,9,1,10,1,11,1,8,1,12,3,17,1,11,1,17,5,24,1,13,1,29,1,7,1,29,1,30,1,28,3,6,1,28,3,29,1,6,1,30,1,7,2,29,1,25,1,6,1,30,1,6,1,26,1,6,3,30,1,28,1,29,2,27,2,28,1,6,1,28,1,13,1,30,1,6,2,25,1,30,1,8,1,25,1,7,1,25,2,24,1,10,1,8,1,10,1,24,1,8,2,24,5,17,1,24,1,12,2,24,1,10,3,24,2,10,1,24,1,8,1,24,5,8,1,7,1,12,1,24,4,10,1,24,2,12,1,17,1,12,2,10,1,24,1,17,1,24,1,10,1,8,1,10,1,8,1,10,1,24,1,8,1,25,2,7,1,28,1,27,1,28,2,25,1,6,1,30,1,29,1,8,1,6,1,24,1,29,1,8,1,25,3,8,1,24,1,7,4,25,3,6,1,8,1,25,1,8,3,25,1,8,2,13,1,8,1,6,1,28,7,30,1,28,1,30,1,28,1,6,1,13,1,24,1,13,1,24,1,6,1,24,1,8,1,13,1,8,4,7,1,8,1,24,1,8,1,25,2,8,1,7,1,6,1,8,3,25,2,8,1,25,1,24,1,13,2,12,2,24,1,8,2,7,1,24,1,8,1,10,1,13,1,10,1,24,1,10,1,7,1,10,1,8,1,6,1,8,3,13,1,8,1,13,1,29,1,13,1,28,1,13,1,8,2,9,1,8,1,6,1,10,1,8,1,24,1,17,1,24,1,8,1,12,1,10,1,24,3,9,1,12,1,24,1,12,1,17,1,12,1,24,1,10,1,12,1,8,1,10,1,12,1,13,1,17,1,24,1,7,1,24,3,8,2,24,2,10,1,8,1,24,1,7,1,10,1,12,1,24,1,10,1,7,1,9,1,24,2,10,1,24,1,17,1,12,2,17,21,9,1,13,1,28,48,30,1,6,1,30,1,6,1,8,1,13,2,9,1,8,1,13,1,9,2,7,1,13,2,8,1,24,1,13,1,10,1,11,1,8,1,12,1,17,4,9,1,11,1,9,1,11,1,30,1,9,2,6,1,11,2,13,1,9,4,13,2,9,1,13,1,8,2,7,1,9,1,30,1,13,1,16,1,9,1,13,1,9,1,8,1,11,1,12,1,9,1,13,2,9,1,6,1,9,3,11,1,9,1,13,1,7,1,6,3,28,31,6,1,13,1,9,1,13,5,8,1,13,4,9,2,13,1,8,1,6,1,13,1,6,2,30,1,13,1,30,1,13,1,30,1,6,1,13,1,28,1,30,3,13,1,30,1,13,1,6,1,13,1,28,1,13,1,6,3,13,1,8,1,13,1,9,1,6,1,9,1,13,1,9,1,11,1,9,1,13,1,6,1,8,1,13,2,7,1,6,1,7,1,13,1,9,1,13,3,28,1,30,1,7,1,29,1,13,1,6,1,13,1,7,1,13,1,6,1,7,2,6,2,13,2,11,1,6,1,13,1,30,1,6,1,7,1,30,1,28,1,6,1,30,2,28,1,13,1,30,1,13,2,29,1,30,1,6,2,30,1,6,1,29,1,13,1,28,1,13,1,6,1,13,1,30,1,13,1,6,1,28,31,30,1,28,1,30,1,28,8,8,1,17,2,12,1,10,1,12,1,8,1,6,1,13,1,6,2,28,1,30,4,28,1,7,1,30,1,6,1,13,1,7,1,24,2,9,1,10,2,9,1,12,1,29,1,28,7,13,1,24,2,6,1,28,18,29,1,28,14,30,1,28,1,29,1,12,1,14,1,6,1,30,2,6,1,8,1,15,1,24,1,6,1,28,3,6,1,30,1,6,1,7,1,29,1,24,1,8,1,9,1,13,1,28,5,30,1,8,1,9,1,29,1,28,3,30,1,28,1,6,1,8,1,24,1,8,1,12,1,17,1,12,2,13,1,30,2,29,1,24,1,10,1,9,1,13,1,28,3,7,1,13,1,8,1,28,50,7,1,17,1,9,1,28,2,}, {30,1,29,1,28,24,6,1,30,1,28,14,30,1,7,1,9,3,10,1,6,1,13,1,6,1,30,1,29,1,30,1,28,2,30,1,13,1,17,1,8,1,28,5,30,1,6,1,8,1,24,1,8,2,29,1,30,1,28,8,30,1,6,1,14,1,6,1,28,43,30,1,7,1,6,1,29,1,13,1,6,1,13,1,8,1,9,1,6,1,8,1,24,1,8,1,10,1,17,2,13,1,28,1,30,1,6,1,8,1,13,1,8,2,7,1,13,1,29,1,28,7,30,2,13,2,6,1,28,5,13,1,17,1,9,1,7,1,8,1,13,1,30,1,24,1,8,1,24,1,12,1,9,1,24,1,8,1,15,1,17,1,10,1,8,1,6,3,30,1,28,1,30,1,28,36,30,1,6,1,13,1,15,1,8,1,6,1,28,5,7,1,24,1,8,1,9,1,24,1,8,1,7,1,8,1,13,1,8,1,29,1,30,3,6,1,28,1,30,1,28,1,30,4,6,1,28,1,13,2,8,1,15,1,17,2,14,1,9,1,30,1,28,9,30,1,29,1,28,3,13,3,29,1,6,4,13,1,6,1,28,2,30,2,28,5,6,1,13,1,9,4,16,1,11,3,16,1,9,2,11,1,10,1,13,1,9,1,11,1,9,1,10,1,9,1,17,1,9,1,16,1,9,1,16,3,9,1,8,1,9,3,13,1,9,1,8,1,9,1,11,2,9,1,11,1,16,1,9,1,11,2,9,1,17,1,16,1,11,1,9,2,11,1,9,1,11,1,8,1,9,7,11,1,9,1,16,2,11,1,9,4,8,1,13,1,16,1,8,1,9,2,11,1,9,1,8,1,9,1,11,1,9,1,13,1,8,1,9,4,16,2,9,1,10,1,17,1,11,1,8,1,16,1,9,1,11,1,9,1,10,1,9,1,17,1,10,1,16,1,9,1,11,1,16,1,11,1,9,2,16,1,10,1,9,3,16,1,10,1,11,1,9,1,10,1,13,1,7,1,30,1,29,1,6,1,13,1,30,1,29,1,6,1,29,1,13,1,29,2,6,1,13,2,9,1,13,1,11,1,12,1,29,1,6,2,30,2,6,1,30,1,6,1,7,1,30,1,29,1,30,1,13,1,6,1,28,1,8,1,6,1,8,1,30,1,8,2,29,1,8,1,13,1,8,1,7,1,13,1,10,1,8,1,9,2,11,1,12,1,9,1,17,4,11,8,16,1,11,3,9,1,11,1,9,1,11,1,9,2,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,2,13,1,9,4,8,1,9,1,8,1,13,1,9,1,11,1,9,2,11,1,8,1,9,1,11,1,9,1,8,1,11,1,9,1,11,1,9,5,11,1,9,1,10,1,11,3,9,2,8,1,9,2,11,1,9,4,11,1,9,2,10,1,11,1,10,1,16,1,11,2,10,1,17,1,11,1,9,1,11,1,10,1,9,1,11,1,13,1,10,1,11,1,13,1,9,1,8,1,16,1,9,1,17,1,9,1,13,1,8,1,6,4,30,1,28,1,29,1,28,20,17,1,12,1,11,1,9,3,24,2,7,1,13,1,6,1,7,1,8,1,7,1,6,1,29,1,28,1,30,2,28,4,30,1,28,2,30,1,28,1,30,2,9,1,17,3,11,2,9,1,7,1,6,1,28,20,6,1,28,1,30,5,28,40,30,1,29,2,30,1,28,1,30,1,7,1,28,1,6,2,30,1,29,1,30,1,28,2,30,2,29,1,30,1,28,1,29,3,28,1,29,1,30,1,28,2,30,1,28,3,30,1,28,33,30,1,28,1,29,1,30,2,28,7,30,1,28,11,29,2,28,2,6,1,13,1,6,1,9,1,13,2,9,1,8,1,11,1,8,1,13,1,8,1,9,2,17,1,11,4,16,1,11,1,9,1,11,1,13,1,9,5,8,1,10,1,9,1,8,1,13,1,8,1,9,2,8,1,6,1,13,2,6,1,13,3,30,3,6,1,28,1,29,1,28,1,30,1,28,2,29,1,28,1,6,1,28,1,29,1,13,1,6,1,30,2,7,1,13,1,29,1,30,1,6,1,30,1,28,1,30,2,28,20,30,1,29,1,8,1,7,1,13,1,8,2,29,1,6,1,13,4,7,2,6,1,17,23,11,1,17,3,9,1,10,1,16,1,17,9,16,1,11,1,16,2,9,1,11,3,9,1,13,2,11,1,9,2,11,1,9,1,11,1,9,1,11,2,9,1,11,2,9,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,16,1,11,1,16,2,11,1,16,7,9,1,17,2,16,3,17,1,9,1,11,1,9,2,16,1,9,2,11,3,9,1,16,2,9,1,11,3,9,2,11,4,16,1,11,2,9,1,16,7,17,6,11,1,28,1,30,1,28,1,6,1,30,2,6,1,29,1,30,4,6,1,30,4,29,1,28,1,30,1,28,1,30,5,28,1,30,1,28,1,30,2,6,1,30,1,6,1,28,1,6,1,28,1,30,1,6,1,30,2,29,1,28,1,30,1,6,1,28,1,30,1,29,1,30,1,6,1,13,1,6,1,28,6,30,2,28,1,30,1,28,1,6,1,8,1,30,1,28,1,30,1,28,1,30,2,29,1,28,1,30,2,6,1,30,3,28,1,30,2,6,1,30,1,28,1,30,3,6,1,28,1,6,1,30,5,28,1,30,1,28,1,30,5,28,1,30,6,6,1,28,1,6,1,28,1,6,1,30,2,29,1,28,1,30,3,28,1,30,1,28,3,30,2,28,1,30,1,28,1,30,1,28,1,29,1,30,4,6,3,30,1,7,1,6,1,30,4,29,1,28,1,6,1,7,1,13,1,28,1,30,3,6,1,30,1,6,1,7,1,28,1,6,1,28,1,6,2,30,1,6,1,30,1,6,1,30,4,6,2,13,1,6,2,13,1,6,3,30,1,6,3,13,1,6,2,13,1,6,3,13,1,29,1,6,3,30,2,7,1,6,3,29,1,6,1,30,1,6,1,30,1,6,4,30,1,6,1,30,1,6,1,30,2,29,1,6,2,29,1,30,3,6,3,30,1,6,1,30,4,6,1,30,2,29,1,6,1,30,1,6,1,30,6,29,1,28,1,6,1,28,2,30,1,6,1,29,1,30,1,28,2,30,1,6,1,30,1,6,1,30,3,6,1,28,1,30,1,29,1,6,2,29,1,6,2,30,1,7,1,30,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,7,1,29,1,13,1,6,5,30,1,13,1,6,9,30,1,6,2,30,2,13,1,30,1,6,2,13,1,6,3,30,2,6,1,30,1,6,6,28,1,6,3,13,1,9,1,10,2,13,2,6,1,29,1,30,1,6,1,30,2,13,1,6,7,13,1,6,1,30,1,6,1,13,1,30,3,6,2,17,1,16,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,2,28,1,30,6,28,1,30,2,28,2,30,2,6,1,30,2,28,6,30,1,28,2,24,1,10,1,9,1,8,1,10,1,16,1,17,3,9,4,11,2,12,1,11,2,8,1,11,2,9,1,17,2,11,1,17,1,11,1,8,1,6,1,7,1,6,1,24,1,11,1,9,2,8,1,24,2,13,1,8,1,12,1,10,1,24,1,6,2,7,1,29,1,7,1,29,1,13,3,7,1,13,1,7,1,13,1,17,7,12,2,17,1,9,1,11,1,8,1,24,2,13,1,6,1,8,1,9,2,17,1,9,1,10,1,11,2,12,1,11,1,17,1,12,1,9,1,11,1,17,1,11,1,10,1,9,2,12,1,9,1,11,2,24,1,11,2,9,1,10,1,9,1,11,1,9,1,12,1,9,1,10,2,12,3,11,1,12,1,11,1,17,1,12,1,17,1,9,1,12,1,9,1,12,1,10,1,12,1,10,1,9,1,11,1,17,1,9,1,12,1,11,1,17,1,11,1,9,1,11,1,10,1,12,1,11,2,10,1,9,3,12,2,11,1,17,1,11,2,17,3,12,2,24,1,29,1,6,1,29,1,28,1,30,1,29,1,28,3,30,1,28,1,30,1,28,1,30,2,28,1,6,1,29,1,25,1,7,1,25,1,8,1,30,1,8,1,30,1,29,1,30,3,6,1,30,1,28,1,30,2,29,1,7,1,6,1,28,1,6,3,25,2,8,1,24,1,7,1,24,1,8,1,24,2,8,1,12,1,24,1,12,1,24,1,12,1,10,1,17,1,10,2,8,1,10,2,8,1,10,1,12,1,10,2,8,1,12,1,8,1,24,1,8,1,7,1,10,1,24,2,10,2,24,2,10,2,24,3,12,2,10,2,24,2,17,1,10,1,12,1,24,3,12,1,24,1,25,1,26,1,25,1,6,1,30,1,28,1,29,3,6,1,8,1,25,4,27,1,24,1,25,1,24,1,25,1,24,1,8,1,6,1,8,1,6,1,8,1,25,1,8,1,25,2,24,2,8,1,7,1,8,1,25,1,7,1,13,2,7,1,30,1,28,9,30,1,28,1,9,2,24,1,13,2,7,1,8,1,13,2,24,1,13,2,8,1,7,1,24,1,8,1,24,1,8,1,25,1,7,1,8,2,24,1,8,1,24,1,8,1,24,1,8,1,24,1,25,1,10,1,24,1,8,2,10,1,7,1,24,1,8,3,13,1,24,1,8,1,10,1,8,2,24,1,8,1,24,1,13,1,8,1,13,1,7,1,6,2,13,1,7,1,6,1,13,2,8,1,13,1,7,2,13,1,8,1,10,1,8,1,12,1,9,1,13,1,10,1,24,1,10,1,7,1,8,1,10,1,24,2,12,1,17,1,8,1,17,1,8,2,10,1,8,1,12,1,8,1,12,1,7,1,24,1,10,1,6,1,10,1,24,2,10,1,12,1,24,1,10,1,8,1,24,1,8,2,10,1,24,1,10,1,24,1,10,1,12,1,24,1,12,2,17,1,12,1,17,18,11,1,17,1,11,1,13,1,28,50,6,1,7,1,13,2,8,2,24,1,9,1,8,1,13,1,8,1,13,1,24,1,13,1,8,2,11,1,10,1,17,1,11,1,17,5,16,2,13,3,9,2,16,1,10,1,9,1,13,1,11,1,8,1,9,2,16,2,9,1,6,3,13,1,7,1,9,2,6,1,8,1,16,1,11,1,8,2,9,2,6,1,13,1,30,1,9,1,11,1,16,1,9,3,13,1,30,2,28,32,30,1,13,2,6,1,9,1,13,2,6,1,13,3,8,1,13,2,6,1,13,1,9,1,13,2,6,4,8,1,13,5,30,1,6,2,30,1,29,1,6,1,28,1,30,1,6,2,13,2,6,2,13,1,6,1,13,3,30,1,13,1,8,1,13,1,9,1,13,1,7,1,9,1,6,1,13,1,9,1,30,1,13,2,9,1,29,1,13,1,6,1,13,2,6,1,28,1,6,2,30,1,6,1,13,1,6,1,13,2,8,1,13,1,9,1,13,1,6,1,13,2,30,1,28,1,6,2,13,1,30,1,13,1,30,2,13,1,7,1,13,1,8,1,13,2,28,1,30,1,7,1,6,2,29,1,13,3,6,1,7,1,28,32,7,1,28,10,15,1,17,1,12,4,24,1,8,1,13,1,30,1,29,1,6,1,29,1,6,1,29,2,6,4,7,1,6,1,8,1,13,1,9,3,17,1,8,1,30,1,28,7,24,1,10,1,24,1,28,1,30,1,29,1,28,33,13,1,12,1,8,2,6,1,29,2,9,1,24,1,9,1,8,1,29,2,28,2,30,1,6,1,13,1,7,1,8,1,10,1,24,1,8,1,28,5,6,1,24,1,12,1,28,5,6,2,8,1,24,1,10,1,9,3,10,1,8,1,6,1,28,2,8,1,10,1,9,1,13,1,29,1,28,2,8,1,13,1,7,1,28,49,6,1,13,1,12,1,8,1,30,1,28,1,}, {30,1,28,40,6,1,30,1,7,1,13,1,24,1,9,1,8,1,6,2,29,1,6,1,28,1,30,2,28,2,8,1,11,1,13,1,30,1,28,5,7,1,24,1,13,1,7,1,6,1,29,1,28,9,30,1,6,1,15,1,6,1,29,1,28,42,30,1,6,2,7,1,6,1,13,1,8,1,12,1,9,1,13,1,9,1,8,2,9,1,17,2,9,1,29,1,30,2,13,1,6,1,7,1,24,1,13,1,8,1,6,1,28,9,24,1,8,1,30,1,28,5,7,1,12,1,8,1,24,1,8,1,13,1,8,1,13,1,8,1,9,1,8,1,9,2,10,1,15,1,17,1,15,1,6,4,30,1,29,1,30,1,28,32,30,1,28,2,6,1,28,1,6,1,8,1,9,2,13,1,28,5,6,1,9,1,8,1,24,1,8,2,13,1,8,1,7,1,29,1,6,1,30,1,6,1,30,2,28,6,6,1,30,1,29,1,6,2,24,2,17,1,12,1,17,1,14,1,28,15,7,1,8,1,13,2,6,1,13,1,30,1,6,2,7,1,30,2,6,1,28,6,30,1,9,2,11,1,9,1,11,2,10,1,9,1,11,1,17,1,9,2,11,1,8,1,16,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,11,1,9,1,11,1,9,1,16,1,11,1,8,1,16,1,9,1,13,1,9,1,8,2,9,2,11,1,9,1,16,2,9,2,11,1,9,10,13,1,9,3,13,1,9,3,13,1,9,1,11,1,16,1,13,1,9,1,8,1,9,2,16,1,8,1,9,2,11,1,9,2,11,1,9,4,13,1,8,1,10,1,9,1,10,1,13,1,9,1,16,1,9,1,13,1,16,1,9,1,10,1,11,1,17,1,9,1,11,1,9,1,17,1,11,2,9,1,16,1,8,1,9,2,10,1,9,1,16,1,9,1,11,2,16,1,9,1,16,1,9,1,10,1,13,2,30,1,6,2,28,1,30,1,6,1,29,2,13,1,29,1,6,1,13,1,6,1,8,1,9,3,8,1,6,1,30,1,28,1,6,1,30,1,6,3,7,1,28,1,6,1,7,1,13,1,28,1,6,3,7,2,13,1,8,2,24,1,13,1,12,1,9,3,8,1,9,2,11,1,9,1,11,1,16,1,17,3,9,1,11,1,16,1,10,1,16,3,11,2,9,1,11,1,16,1,9,1,11,1,10,1,9,1,10,1,11,3,9,1,11,1,8,1,9,3,10,2,8,1,11,1,9,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,8,1,9,3,13,1,11,1,9,3,11,1,9,1,11,2,9,2,10,1,9,2,11,3,9,1,16,1,9,2,13,1,9,1,8,1,9,2,10,1,11,1,9,2,11,1,9,1,10,2,9,5,10,1,11,1,9,1,10,1,11,1,9,1,11,1,10,1,13,1,8,1,9,1,13,1,9,1,11,1,9,2,10,2,8,1,13,2,6,1,7,1,28,1,30,1,6,1,28,19,8,1,9,2,8,1,10,1,8,2,13,1,7,1,8,1,6,1,13,1,6,1,30,2,6,1,30,1,28,1,30,1,28,11,30,1,7,1,12,1,16,1,17,1,11,1,10,1,13,2,30,1,28,24,29,1,28,44,30,1,28,10,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,1,29,1,28,38,30,2,28,1,30,1,28,1,6,2,29,1,28,1,30,1,28,1,30,1,28,14,6,1,29,1,30,1,7,2,13,1,8,1,13,2,9,1,8,1,9,1,8,1,13,2,8,2,9,2,11,1,9,2,11,1,13,1,10,1,9,1,8,1,9,1,13,1,9,2,8,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,7,1,13,1,9,1,13,1,8,1,13,4,6,1,13,1,6,1,29,1,30,1,6,1,29,1,30,1,28,5,30,1,6,1,30,1,6,4,13,1,6,1,7,1,8,1,30,1,6,1,30,2,6,1,30,1,28,1,30,1,28,15,29,1,30,1,7,1,13,1,6,1,29,1,6,1,13,2,6,4,13,2,6,1,13,1,17,23,11,1,17,1,12,1,16,1,12,1,11,1,9,2,17,1,16,1,17,6,16,2,11,3,16,1,11,3,16,1,9,3,13,1,9,2,11,1,9,2,11,1,9,1,11,1,9,1,16,1,11,1,16,3,11,1,16,2,11,2,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,1,17,2,16,3,11,1,16,1,17,1,11,1,9,2,11,1,9,2,11,1,9,1,11,2,9,1,11,5,16,1,11,1,9,2,16,1,11,1,16,1,11,3,16,1,11,2,16,3,17,7,9,1,6,1,28,3,6,1,30,3,28,1,30,3,28,1,30,6,28,1,30,4,28,2,29,1,28,1,30,2,6,1,30,3,6,1,28,1,6,1,30,1,28,1,30,4,28,2,30,1,28,2,6,2,7,1,30,2,28,1,30,2,28,3,6,1,28,2,30,2,8,1,30,1,28,1,30,1,6,1,30,1,28,3,6,2,7,1,6,1,30,1,6,1,30,4,6,2,30,3,28,1,30,1,6,1,28,1,30,1,6,1,30,7,6,1,30,4,28,1,30,6,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,8,6,1,30,4,6,1,30,1,6,1,30,2,6,1,30,1,28,1,6,1,7,1,6,2,30,2,6,1,30,1,6,1,28,1,6,4,29,1,6,2,30,1,13,1,6,7,7,1,28,1,13,1,30,1,6,1,13,1,7,1,13,2,6,3,13,2,6,1,29,1,6,3,7,1,6,4,7,1,6,1,30,3,6,1,30,1,6,3,30,1,6,1,30,1,6,3,30,1,6,4,30,1,7,1,30,1,6,1,30,1,6,1,30,1,28,1,6,2,30,1,6,1,30,1,6,1,30,2,29,1,30,1,29,1,30,4,28,1,6,1,30,2,6,1,30,4,29,1,30,3,6,1,30,9,13,1,6,1,29,1,6,1,13,1,6,1,30,1,6,2,30,1,13,1,6,5,13,1,6,2,13,2,6,1,7,1,6,3,13,1,6,2,30,1,13,1,6,4,29,1,6,5,13,1,6,3,30,1,6,1,13,2,6,2,30,1,6,1,13,1,6,2,13,1,29,1,30,1,6,4,7,1,6,1,8,1,9,3,13,1,6,2,30,3,6,1,30,1,6,1,30,2,6,2,30,3,6,4,13,2,30,3,29,1,30,1,11,1,6,1,30,1,28,2,6,1,30,2,28,1,30,2,6,1,30,1,28,2,30,1,28,3,30,3,28,1,30,2,28,1,6,1,30,6,28,1,6,1,30,1,28,5,30,1,28,2,6,1,8,1,9,2,11,1,17,4,11,1,9,4,16,1,11,2,8,1,9,1,8,2,11,1,10,1,17,3,11,1,17,1,8,1,6,1,13,2,24,1,12,1,24,1,8,4,12,2,17,1,10,1,8,1,6,3,8,2,6,1,13,2,7,1,29,1,13,2,8,1,24,1,17,4,12,1,17,1,12,1,17,1,11,1,9,1,13,1,10,2,24,1,8,2,6,1,7,1,9,1,24,1,17,1,9,1,12,2,9,1,12,2,9,1,11,1,17,1,12,1,11,1,8,2,10,1,9,2,10,1,9,1,8,1,24,1,9,2,11,1,9,3,11,1,9,2,11,1,9,1,17,1,11,1,12,1,9,1,10,1,9,1,11,1,10,1,11,2,12,1,11,1,9,1,12,2,11,1,9,1,17,1,11,1,12,1,9,1,11,1,17,1,11,2,9,1,11,1,10,1,11,1,10,2,11,2,9,1,10,1,11,2,12,1,9,1,17,2,9,3,7,1,6,1,7,1,29,1,6,1,28,1,30,1,28,2,29,1,30,1,29,1,30,1,28,1,25,1,27,2,6,1,28,1,6,2,29,1,6,1,7,1,25,3,29,3,27,1,6,3,29,1,7,1,30,2,6,1,7,1,8,1,7,1,24,1,25,4,24,1,25,1,12,1,24,4,12,2,17,1,8,1,24,2,12,2,24,4,8,1,24,1,12,1,6,1,24,1,8,1,24,1,8,1,24,2,8,1,10,1,24,1,12,1,10,1,8,2,10,2,24,1,12,3,17,2,10,1,17,2,12,2,24,1,12,1,8,1,7,1,24,2,6,1,29,1,6,1,30,1,28,1,6,1,30,1,6,1,29,1,25,3,24,1,8,1,24,2,8,1,24,1,25,1,8,1,24,2,8,1,25,1,8,1,24,1,25,3,8,2,24,2,6,1,7,1,6,1,30,1,13,1,6,1,29,1,28,10,7,1,9,1,13,1,9,1,13,1,10,1,13,3,8,1,24,1,8,1,24,4,8,1,6,1,7,1,25,1,8,1,25,1,8,2,6,1,24,4,8,1,10,1,8,3,24,1,13,1,24,1,8,1,7,1,12,1,8,1,9,1,12,1,6,1,24,1,13,1,24,1,13,1,8,1,13,1,24,1,13,1,7,1,8,2,6,1,8,2,13,1,8,2,7,1,13,1,12,1,8,4,24,2,8,2,24,1,9,2,10,1,24,2,9,1,10,1,13,1,10,1,8,1,24,1,8,1,12,1,10,1,24,1,12,1,9,1,24,1,10,1,13,1,10,1,24,2,8,1,24,1,8,3,24,1,8,1,12,1,8,1,12,1,24,1,10,1,24,1,12,2,17,1,12,2,17,20,11,1,17,1,10,1,8,1,13,1,28,49,30,2,29,1,6,1,8,1,7,1,13,2,7,1,8,1,13,1,8,1,13,1,24,1,9,2,24,1,9,1,10,2,11,1,17,5,16,2,13,1,10,1,9,1,10,1,9,1,11,2,9,1,8,1,13,2,10,1,13,1,8,2,10,1,7,1,9,1,7,2,9,2,13,2,9,1,8,1,9,2,11,2,13,2,6,1,13,1,8,1,9,1,11,1,9,1,8,1,9,1,30,4,28,31,30,1,8,1,7,1,13,2,6,1,13,2,9,1,13,2,6,1,8,1,6,1,13,5,30,1,6,1,7,1,6,1,13,5,6,2,13,2,28,1,13,2,29,1,6,1,7,1,6,2,7,1,13,7,8,1,13,1,7,1,13,1,9,1,8,1,13,2,8,1,6,1,9,1,8,2,11,1,13,1,28,1,8,1,30,1,8,1,13,1,29,1,6,1,13,2,6,1,13,1,30,1,13,2,6,1,13,1,8,1,13,1,6,1,13,1,6,1,13,2,6,1,30,1,6,3,13,2,6,2,13,4,7,2,6,2,30,1,6,3,29,1,6,1,13,1,7,1,28,6,30,1,28,25,6,1,28,1,30,1,28,7,30,1,15,1,17,1,12,1,17,1,9,1,24,2,8,1,13,1,6,1,13,1,30,1,6,1,30,1,29,1,30,1,28,1,6,2,30,1,6,2,8,1,10,1,24,1,9,1,17,1,12,1,9,1,6,1,28,7,13,1,8,2,13,1,6,1,30,1,28,33,6,1,24,1,12,1,10,1,7,1,6,2,12,1,9,1,10,1,7,1,6,1,30,1,28,1,30,1,28,1,29,1,6,1,8,2,10,1,8,2,28,5,30,1,9,2,6,1,28,4,29,1,8,1,24,1,13,1,8,1,11,1,9,1,12,1,10,1,24,1,13,1,30,1,6,1,8,1,9,1,11,1,6,1,28,2,29,1,28,1,9,1,6,1,28,16,30,1,28,33,10,1,9,1,24,1,29,1,28,1,}, {30,1,6,1,28,38,30,1,28,1,29,1,8,1,13,1,8,1,9,1,13,1,6,1,13,1,29,1,7,1,30,1,29,2,28,2,8,1,17,1,8,1,29,1,28,5,30,1,8,1,7,1,24,1,13,1,30,2,28,8,30,1,29,1,14,1,7,1,28,44,29,1,30,1,6,1,7,1,13,2,9,1,24,1,6,3,13,1,9,2,17,1,15,1,13,1,6,1,28,1,30,1,6,1,13,2,8,2,13,1,30,1,28,3,30,1,28,1,30,2,6,1,13,1,8,1,6,1,28,5,6,1,12,2,8,1,24,1,8,1,13,4,9,1,24,1,12,1,10,1,9,1,15,1,9,1,11,1,6,2,30,1,6,1,28,1,29,1,28,37,6,1,9,2,24,1,13,1,28,5,8,3,9,2,13,1,8,1,13,1,8,1,6,1,28,1,6,1,30,2,28,3,29,1,28,1,30,1,28,1,6,1,29,1,7,1,6,1,7,1,8,2,12,1,17,2,10,1,29,1,28,14,29,1,13,1,8,1,13,1,30,1,13,1,6,2,29,2,6,1,28,1,29,1,28,7,8,1,11,1,13,1,9,1,11,2,10,1,11,1,9,2,11,1,9,2,11,2,9,1,8,1,10,1,9,1,11,2,9,3,10,1,17,1,11,1,10,1,8,1,11,1,13,4,9,2,11,1,9,3,11,1,9,1,11,1,9,1,11,1,9,2,16,1,8,1,16,2,13,1,16,1,11,1,10,1,16,1,8,1,9,1,11,1,8,2,13,1,11,1,9,1,10,1,9,1,8,1,9,1,11,1,8,1,9,3,13,2,8,1,16,1,9,1,29,1,9,4,11,1,16,1,9,1,16,1,13,1,11,1,17,1,9,4,17,1,10,3,11,1,10,1,9,1,11,1,9,1,11,3,9,1,17,1,9,1,11,1,16,2,11,2,16,1,11,1,16,1,8,1,9,1,11,1,13,1,6,2,7,1,30,1,28,1,29,1,13,1,30,1,13,2,6,1,29,1,28,1,6,1,13,1,8,1,24,1,10,1,6,2,29,1,28,4,6,5,28,1,13,1,29,1,6,1,13,1,30,1,6,1,7,1,6,1,13,3,8,1,13,1,8,2,9,3,17,1,9,1,12,1,11,1,12,1,17,3,11,2,9,1,11,1,16,2,10,1,16,1,11,1,16,1,11,4,9,1,16,1,9,1,11,1,8,1,9,2,13,1,9,2,10,2,9,2,13,1,9,3,8,2,9,4,13,1,11,1,13,1,9,1,8,1,9,1,8,1,11,1,9,6,11,1,9,1,11,2,9,4,16,1,9,2,10,1,13,1,9,3,11,1,13,1,9,1,11,1,9,2,11,2,9,1,11,2,9,1,11,3,12,1,10,1,11,2,9,1,11,2,9,1,10,1,9,1,13,1,12,2,9,1,13,1,8,1,24,1,8,1,13,1,29,1,13,1,7,2,29,1,6,1,28,18,10,2,9,1,10,1,12,1,10,1,13,1,9,1,8,1,6,1,13,1,7,1,28,1,6,1,30,1,6,1,28,16,7,1,11,3,17,1,8,1,6,1,28,74,30,2,28,4,30,1,28,3,30,1,28,2,30,2,28,39,30,2,28,6,30,1,28,20,29,1,30,1,28,2,6,1,13,1,6,1,13,2,8,1,9,3,8,2,13,2,6,1,8,1,9,2,8,1,9,1,8,1,9,1,17,1,13,1,10,1,13,1,9,1,13,1,9,1,13,1,7,1,9,1,13,2,8,1,24,1,9,1,8,1,13,2,6,1,13,1,8,1,7,1,8,1,13,1,6,1,13,1,7,1,6,2,7,1,29,1,6,1,29,2,30,1,28,1,6,1,30,2,29,1,6,1,30,1,6,1,30,1,7,2,13,1,6,1,13,2,6,2,13,1,30,2,6,2,28,2,29,1,30,1,28,11,30,1,6,1,7,1,9,1,13,3,7,1,29,2,6,2,7,2,6,1,29,1,9,1,17,22,14,1,12,1,17,1,12,2,17,1,9,1,17,2,16,1,11,1,17,6,16,4,11,2,16,1,9,1,11,1,9,9,11,1,9,1,11,2,9,1,11,1,16,1,11,1,16,2,11,3,9,1,16,2,9,1,16,5,11,4,17,5,16,1,11,1,16,1,17,1,11,2,9,4,16,1,9,1,11,1,16,1,11,3,9,1,11,1,9,2,11,2,16,1,9,1,11,2,16,6,17,9,13,1,28,2,30,1,28,1,30,5,28,2,30,7,28,1,30,2,28,1,30,3,6,1,30,3,28,1,30,3,28,1,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,2,6,1,30,2,28,1,6,1,28,1,30,3,28,2,30,1,28,1,30,1,28,1,7,1,6,4,13,1,30,5,6,1,28,1,30,3,29,1,6,1,30,2,6,1,30,5,28,1,30,1,29,1,30,1,6,1,30,1,6,1,30,4,28,1,30,2,6,1,30,6,28,3,30,2,6,2,30,1,6,1,30,2,6,1,28,1,30,1,28,1,30,4,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,3,6,1,30,2,28,1,30,1,28,1,6,3,30,1,6,1,30,2,28,1,30,1,7,1,13,1,28,1,6,1,30,3,6,1,30,2,6,1,30,1,6,2,30,1,29,1,6,2,30,1,6,2,30,1,6,1,13,1,6,2,13,1,29,1,6,1,13,1,6,1,13,1,6,4,13,1,30,1,7,1,13,2,6,3,13,1,6,6,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,4,13,1,6,1,13,1,6,1,29,1,13,1,30,1,6,1,29,1,30,1,6,2,30,1,6,2,30,6,13,1,30,1,6,1,30,1,29,1,6,2,30,2,6,1,30,1,6,1,30,1,28,2,30,1,6,1,30,1,6,4,30,2,6,1,30,2,6,1,28,1,6,3,29,1,30,1,6,2,30,1,29,1,30,2,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,6,1,13,1,6,2,13,1,6,5,7,1,30,1,6,2,7,1,6,1,28,1,6,6,30,1,6,8,13,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,7,1,6,1,13,2,8,2,13,1,6,1,30,2,6,2,30,2,6,1,7,1,30,1,6,1,29,1,30,2,6,1,30,1,28,1,6,4,30,1,28,1,6,2,30,2,28,1,30,1,6,1,30,7,6,1,30,2,29,1,30,1,28,1,6,2,30,6,29,2,30,5,28,1,30,3,28,6,6,3,7,1,13,2,8,1,11,1,17,1,11,1,9,1,11,1,9,1,11,1,9,1,10,1,9,1,12,1,9,1,10,1,9,3,13,1,9,1,17,1,12,1,11,3,12,1,8,1,13,1,7,1,13,1,10,2,8,2,13,1,24,1,9,1,24,1,12,1,17,2,13,1,6,2,13,1,10,1,24,1,13,1,9,1,24,1,8,1,30,1,8,1,6,1,24,2,12,1,17,3,12,1,17,1,16,1,17,1,9,2,10,1,24,2,10,1,24,1,13,1,8,1,7,1,24,1,8,1,10,2,17,1,11,1,12,1,17,2,12,1,17,1,11,2,10,1,12,1,9,1,8,1,24,1,12,1,13,1,10,2,9,1,24,1,9,2,11,1,10,1,11,3,10,1,9,2,11,1,9,1,11,2,10,1,17,1,9,1,11,1,17,3,9,1,10,2,11,1,12,1,11,1,9,1,11,1,9,1,12,2,9,1,11,1,17,1,9,2,11,1,9,1,11,1,9,1,8,1,11,3,12,1,17,5,12,1,24,2,30,1,6,2,27,1,30,1,28,3,30,1,28,6,30,2,29,1,6,2,7,1,6,1,29,2,6,2,25,1,6,2,30,1,28,1,29,2,30,1,28,2,30,1,7,1,13,1,25,1,8,2,25,1,24,1,25,1,8,1,24,4,7,1,10,2,24,1,12,1,10,2,9,1,10,1,12,2,24,1,17,1,12,1,24,2,12,1,10,1,12,1,24,1,8,1,24,1,10,1,8,1,25,1,12,1,25,1,24,1,10,1,24,1,12,2,10,2,24,1,17,1,10,1,12,1,10,1,24,1,12,1,10,1,17,1,24,1,12,2,24,3,8,2,7,1,28,1,6,1,28,1,29,2,30,1,28,1,29,1,30,1,27,1,25,1,24,1,6,1,25,2,24,2,10,1,24,2,8,1,25,2,24,1,6,1,25,1,8,1,25,1,24,1,25,1,24,2,7,1,28,3,30,1,13,1,29,1,28,10,30,1,13,1,8,3,13,1,24,1,7,1,13,1,7,1,8,2,13,1,24,1,13,1,8,2,24,1,6,1,24,2,8,3,24,8,8,1,13,1,24,1,13,1,24,3,13,2,8,1,7,1,13,1,7,1,24,1,8,1,9,1,8,1,6,1,29,1,6,1,13,1,8,1,13,1,8,2,6,1,7,1,24,1,13,1,24,1,7,1,6,1,13,1,8,1,7,1,24,2,13,2,6,1,24,1,8,2,24,1,10,1,24,2,12,1,17,1,8,1,17,1,9,1,13,2,10,1,24,1,10,2,24,2,9,1,24,3,10,1,24,1,8,1,10,1,12,1,24,4,10,2,24,1,12,1,10,3,17,1,9,1,12,1,17,2,12,1,17,14,11,1,17,3,11,1,12,1,9,1,13,1,28,49,30,1,29,1,8,1,13,2,9,1,13,1,24,1,13,1,9,1,13,2,24,1,8,1,24,1,8,1,13,1,9,1,12,1,10,1,17,5,11,1,16,1,11,2,9,3,16,1,11,1,9,7,8,1,9,5,13,1,9,1,8,1,9,1,8,1,10,1,13,1,11,1,9,1,8,1,9,2,30,1,29,1,28,1,13,1,9,3,13,1,10,1,28,1,7,1,30,2,28,31,6,1,13,2,9,1,13,1,6,1,13,4,6,1,13,1,8,1,13,1,6,1,13,2,6,1,8,1,7,1,13,1,30,1,13,1,6,1,13,1,8,1,6,1,13,1,6,1,13,1,6,1,29,1,6,1,7,1,30,1,6,1,28,1,13,1,30,2,6,3,13,2,6,1,13,1,6,1,29,1,9,1,13,1,9,1,13,3,8,1,7,1,9,1,13,1,8,1,28,1,13,1,9,1,28,1,9,1,13,2,9,1,13,1,28,1,7,1,13,1,29,1,30,1,6,2,13,1,8,1,9,2,30,1,13,1,29,1,6,3,13,2,30,1,13,1,7,1,13,2,30,1,6,1,13,1,6,1,13,2,7,1,6,1,28,1,7,1,13,1,28,1,30,1,13,3,30,2,6,2,28,4,30,1,28,25,30,3,6,1,30,1,28,6,17,3,8,2,24,2,13,1,6,1,13,1,29,1,6,1,28,1,6,1,30,2,28,1,29,1,30,1,7,1,6,1,8,1,13,1,12,2,10,1,12,1,17,1,9,1,28,7,6,1,7,1,24,1,7,1,29,1,6,1,28,33,30,1,6,1,12,1,24,1,8,1,6,1,28,1,7,1,10,1,12,1,10,1,13,1,28,1,29,1,28,1,29,1,6,2,7,1,6,1,24,1,10,1,9,1,6,1,28,5,6,1,9,1,10,1,29,1,28,3,29,1,28,1,6,1,13,1,24,1,10,1,9,1,24,1,10,1,9,1,13,1,6,2,30,1,8,1,15,1,24,1,7,1,28,3,29,1,10,1,29,1,28,5,30,1,28,43,6,1,24,1,10,1,8,1,28,2,}, {30,1,29,1,28,36,30,1,28,3,29,1,30,1,6,1,13,2,8,1,7,1,13,1,7,1,6,1,29,1,28,3,6,1,24,1,10,1,8,1,30,1,28,6,12,1,8,1,13,1,8,1,6,1,28,9,30,1,6,1,14,1,13,1,28,41,6,1,7,1,30,3,6,2,29,1,8,1,12,1,24,1,13,2,8,2,7,1,9,2,12,1,28,2,30,1,6,2,13,1,7,1,8,2,6,1,28,4,30,1,28,2,7,1,6,2,8,1,30,1,28,5,7,1,24,2,10,1,12,1,13,1,6,1,13,1,8,2,13,1,8,1,9,3,14,1,15,1,9,1,29,1,7,1,6,1,30,1,29,1,7,1,28,31,6,1,28,3,29,1,7,1,29,1,24,1,8,1,15,1,24,1,28,5,29,1,13,2,24,1,9,1,8,2,6,1,13,1,30,4,28,2,29,1,28,4,30,2,6,4,7,1,9,1,17,3,12,1,28,15,6,2,13,2,6,2,29,1,7,1,30,1,29,1,28,1,30,1,28,7,30,1,13,1,9,1,13,1,10,2,16,1,11,2,16,1,11,1,8,1,9,4,16,1,9,2,10,1,11,1,16,1,9,1,16,1,10,2,16,1,9,1,16,1,13,1,9,1,13,1,10,1,8,1,9,2,11,1,8,1,9,3,16,1,11,1,10,1,9,1,17,1,16,2,11,1,16,1,9,1,11,2,9,1,30,1,10,1,13,2,9,1,11,1,9,1,13,1,9,1,8,4,13,1,9,1,13,1,9,2,8,1,9,1,13,1,9,1,8,1,9,1,11,1,9,1,13,1,9,1,8,1,9,1,10,1,11,1,9,1,10,1,9,2,13,1,11,1,16,1,9,1,10,1,11,1,16,1,17,1,9,2,16,1,11,1,16,1,11,2,16,1,10,1,11,1,13,1,9,1,16,2,9,1,16,1,9,1,11,1,10,1,16,2,9,1,10,1,8,1,6,1,28,1,13,1,30,1,29,1,6,2,29,1,13,1,6,3,13,1,6,1,9,1,8,2,13,2,6,1,30,1,28,2,6,2,30,1,6,1,30,1,6,1,30,1,6,1,29,1,6,4,13,1,6,3,8,1,13,1,29,1,24,1,11,1,9,2,10,1,9,3,10,1,9,1,17,4,11,1,16,1,11,1,9,1,16,1,9,1,11,3,9,2,11,1,16,1,11,1,9,1,10,1,9,1,8,1,10,1,11,1,9,3,8,2,9,2,8,1,10,1,8,2,10,1,9,2,10,1,9,1,10,1,13,1,9,4,8,1,9,6,11,1,9,1,11,1,8,1,11,1,9,1,12,1,9,2,8,1,10,1,8,1,10,1,9,2,8,1,9,2,8,1,9,2,11,1,10,2,11,1,16,1,11,1,10,1,11,2,9,2,8,1,10,1,16,1,11,2,10,1,9,1,16,1,9,1,8,1,9,2,13,1,9,1,12,1,9,2,24,1,9,1,13,1,8,3,6,2,29,1,6,1,28,18,17,1,10,1,9,1,10,1,24,1,13,1,24,1,8,1,7,1,13,1,29,1,6,2,29,1,28,1,29,1,28,16,29,1,8,1,17,1,9,1,10,1,13,1,29,1,30,1,29,1,28,90,30,1,28,39,30,1,28,4,30,1,28,1,30,2,28,1,30,1,28,17,6,1,28,1,30,1,7,1,13,1,7,1,13,3,8,1,13,1,8,1,13,1,8,1,13,1,10,1,9,1,8,1,9,1,8,1,9,1,13,2,9,1,13,1,9,2,13,1,11,1,13,1,8,1,9,1,13,1,8,1,24,1,9,1,13,1,8,1,9,1,8,2,13,2,7,1,13,2,6,2,8,1,7,1,8,1,7,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,29,1,6,1,13,1,28,1,7,1,29,1,6,1,7,1,8,2,13,3,7,1,13,1,7,1,6,3,7,1,6,4,13,1,29,1,28,1,29,1,30,1,28,5,13,1,29,1,30,1,13,1,6,1,13,1,6,4,7,1,6,1,30,1,13,1,7,1,6,1,12,1,17,23,11,1,17,1,10,1,17,2,12,1,17,1,12,1,17,2,11,1,17,5,16,6,9,1,16,2,9,4,11,2,9,3,11,1,9,2,11,3,16,1,9,1,11,3,16,1,9,1,11,1,9,1,11,1,16,4,11,4,16,1,11,1,17,3,11,1,16,1,17,2,16,3,17,1,16,1,11,2,9,1,11,2,9,1,11,4,9,1,11,2,9,1,11,1,16,1,11,2,9,1,16,1,11,1,16,1,11,1,16,3,17,8,11,1,13,1,28,2,6,1,30,1,6,2,30,5,6,2,28,1,30,6,28,2,30,4,28,1,29,1,28,1,30,2,28,1,30,2,6,1,30,1,28,1,29,1,30,10,6,1,29,1,30,2,28,1,30,3,28,3,29,1,6,1,7,1,6,1,13,2,6,1,28,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,2,6,2,28,1,29,1,6,1,30,7,28,1,29,1,30,1,29,1,30,3,6,3,30,6,28,1,30,4,28,1,30,2,6,1,30,4,6,1,30,1,29,1,30,6,29,1,30,4,28,2,30,1,28,1,30,2,29,1,30,1,6,1,30,2,6,3,30,1,13,1,30,1,6,2,30,1,29,1,13,2,30,1,6,2,30,5,6,1,30,1,6,4,30,4,6,2,30,1,13,1,6,2,7,1,30,1,13,2,6,1,30,1,6,1,13,1,6,2,30,1,6,1,30,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,4,30,1,6,1,28,1,6,6,30,1,7,1,30,1,13,1,6,2,30,1,6,1,30,1,6,7,29,1,6,1,30,2,28,1,30,1,6,3,30,4,6,1,30,4,6,1,29,1,30,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,6,1,30,4,28,1,6,1,30,1,29,1,30,2,28,1,6,8,7,1,6,1,7,1,13,1,6,1,7,1,13,1,6,3,30,1,13,1,30,1,13,1,7,1,6,3,13,2,6,2,13,1,7,2,6,2,13,3,7,1,6,1,13,1,6,1,30,1,6,2,28,1,6,2,13,2,6,4,30,1,7,1,6,1,29,1,6,5,30,1,6,1,13,1,9,1,13,2,30,1,6,1,30,2,6,5,30,2,6,3,30,4,29,1,30,1,6,1,28,1,6,2,30,1,6,1,30,1,6,1,30,2,29,1,6,1,28,1,30,1,7,1,28,1,29,1,30,3,28,2,30,2,28,2,30,2,28,1,30,2,6,1,30,5,28,1,30,1,28,1,30,1,28,2,30,1,28,5,13,1,10,1,8,1,13,3,11,1,16,1,17,1,11,2,9,3,8,1,9,2,11,1,10,1,9,2,13,1,8,1,13,1,8,1,12,1,10,2,17,1,12,1,9,1,11,1,9,1,6,1,8,1,24,2,13,1,8,1,9,1,8,1,9,2,10,1,17,1,8,1,6,1,7,1,6,1,13,1,7,1,11,1,12,1,17,1,8,1,7,2,29,1,7,1,13,1,9,1,12,2,17,3,11,3,12,1,11,2,9,1,8,1,10,1,24,2,8,3,24,2,9,1,10,1,11,1,24,1,9,1,11,1,12,1,10,1,9,1,17,1,9,2,11,1,9,1,24,1,9,3,13,1,9,1,8,1,10,1,9,1,8,1,9,2,11,1,8,1,11,1,12,2,11,1,9,1,17,1,9,1,10,1,12,1,10,1,16,1,11,1,9,1,11,1,12,1,10,1,11,1,9,1,12,2,9,1,12,2,11,2,17,1,11,1,9,1,12,1,13,1,9,1,10,1,11,1,10,1,11,1,12,1,9,1,11,1,10,1,11,1,17,4,12,1,13,1,8,2,29,3,27,1,28,3,30,1,28,3,29,5,28,1,29,1,6,1,29,1,30,1,26,1,29,1,8,1,6,2,29,1,6,1,30,1,29,1,30,1,6,1,28,1,29,1,6,3,30,1,8,1,28,1,25,1,6,1,8,1,24,2,8,1,24,2,12,1,24,2,12,1,17,1,24,1,17,1,10,2,8,1,9,1,12,2,24,1,12,1,24,2,8,1,24,1,7,1,8,1,24,1,10,1,25,1,24,1,8,1,24,1,10,1,12,1,10,1,24,1,12,1,10,2,12,1,17,1,12,1,24,1,10,2,17,3,12,1,17,1,10,1,24,1,10,1,8,1,25,1,7,1,6,1,28,1,6,1,30,1,28,2,29,1,28,1,6,1,30,2,6,2,26,1,24,3,25,1,24,3,10,1,24,2,8,1,13,1,25,1,24,1,8,1,24,3,8,2,6,1,28,5,30,1,28,9,30,2,10,1,13,1,8,1,9,1,6,1,24,1,8,2,7,1,24,1,13,1,8,2,7,1,8,2,7,1,13,1,6,1,25,2,8,1,24,1,8,1,24,2,25,1,7,1,24,2,13,1,24,2,9,1,13,1,12,1,8,1,13,1,10,1,8,2,9,1,8,1,10,1,24,1,6,1,13,1,7,1,29,1,24,1,13,3,8,4,13,1,8,1,13,2,8,2,24,1,8,1,12,1,7,2,8,1,24,1,8,2,12,1,7,1,24,2,8,1,12,1,9,1,12,1,24,1,10,1,24,1,12,1,8,1,10,2,24,3,17,1,24,2,12,1,10,1,24,2,12,1,24,1,13,1,10,1,24,1,10,1,12,1,6,1,17,1,24,1,10,1,8,1,12,1,17,1,9,1,17,22,12,2,11,1,13,1,9,1,28,50,13,3,10,1,11,1,9,1,13,1,8,3,13,1,8,2,10,1,13,2,9,1,17,1,9,1,12,1,17,4,11,2,16,1,9,1,13,1,9,1,13,1,9,1,11,1,8,1,13,1,9,1,6,1,9,1,13,1,9,1,13,1,9,2,8,1,13,2,6,1,13,1,11,1,9,2,13,1,8,1,11,1,9,2,13,2,29,1,13,1,29,1,8,1,11,1,9,1,13,1,9,1,8,1,6,3,28,32,6,1,13,3,6,1,30,1,13,3,9,1,13,1,9,1,6,1,13,1,6,1,13,3,6,2,30,1,29,1,8,1,28,1,29,1,6,1,13,1,30,1,13,1,6,1,30,2,13,1,30,2,29,1,30,1,6,1,7,1,6,1,30,1,6,1,30,1,13,4,6,1,13,3,8,2,13,2,8,1,13,2,8,1,13,2,9,1,7,1,13,5,6,1,13,2,6,1,30,1,6,2,13,2,6,1,13,2,8,1,6,1,13,1,28,1,30,1,6,1,30,1,6,1,29,1,6,1,28,2,30,1,6,2,30,1,13,4,7,1,6,1,13,1,28,2,13,1,6,1,29,1,13,2,28,33,7,1,28,1,29,1,28,8,12,5,9,1,8,1,24,1,13,1,8,1,29,1,6,2,30,1,28,1,30,3,6,1,7,2,8,1,13,1,8,1,24,1,10,1,17,2,10,1,6,1,28,6,29,1,24,2,6,2,30,1,28,33,29,1,9,1,14,1,15,1,13,1,8,1,30,1,7,1,17,1,12,1,8,2,6,1,28,1,30,1,28,2,29,1,6,1,8,1,24,1,10,1,8,1,6,1,28,5,7,1,17,1,8,1,29,1,28,3,29,1,30,1,13,1,8,1,13,1,10,1,15,1,9,1,15,1,9,1,13,1,29,1,6,1,29,1,13,1,15,1,13,1,8,1,28,3,30,1,9,1,30,1,28,49,7,1,17,2,8,1,30,1,28,1,}, {28,38,30,1,28,4,13,1,9,2,8,2,13,2,7,1,6,1,29,1,28,4,8,1,17,1,24,1,28,7,24,1,8,1,24,1,8,1,6,1,28,10,6,1,24,1,8,1,30,1,28,43,29,3,8,1,24,1,8,1,12,1,11,1,13,1,7,1,6,1,13,1,7,1,9,1,17,1,15,1,13,1,6,1,28,1,30,1,29,1,7,1,13,3,28,1,30,1,28,7,7,1,6,1,8,1,7,1,28,5,13,1,8,1,10,1,24,1,10,1,7,1,13,1,10,1,7,1,24,2,11,1,9,1,8,1,9,1,15,1,9,2,13,1,6,1,7,2,6,1,29,1,28,31,30,1,28,3,30,2,6,1,24,2,15,1,7,1,30,1,28,4,6,1,8,2,13,1,24,2,6,1,13,2,7,1,6,1,30,2,29,1,6,1,28,5,6,1,28,1,6,1,29,1,6,1,29,1,9,2,12,1,17,3,28,16,6,1,30,1,7,1,6,1,28,2,30,1,6,1,30,1,28,1,6,1,28,8,9,2,10,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,10,1,11,1,16,1,8,1,10,1,9,1,16,1,11,1,16,1,11,1,9,2,17,1,11,3,16,1,9,1,11,2,13,1,9,1,13,1,9,4,11,1,17,1,8,1,16,1,9,1,11,2,16,1,9,4,13,1,9,1,17,1,8,1,9,3,11,1,9,2,8,1,9,1,13,1,9,2,13,2,9,1,8,1,9,1,13,1,16,1,13,1,9,2,13,1,9,2,11,1,9,1,13,2,8,1,9,1,10,1,13,1,11,1,9,2,16,1,9,1,10,1,16,1,17,1,16,2,9,1,17,1,9,2,11,1,10,1,17,1,9,1,16,1,8,1,11,2,10,1,11,1,17,1,16,1,11,1,16,1,8,1,16,2,9,1,8,1,9,1,13,1,6,2,30,2,6,1,30,2,6,3,13,1,6,2,13,1,6,1,9,1,8,3,7,1,28,2,30,2,28,2,30,1,29,2,28,1,29,1,6,1,7,1,29,1,6,1,7,1,30,1,8,1,29,1,13,2,6,1,8,2,13,2,8,1,9,2,11,1,8,1,9,1,16,1,17,4,11,1,16,1,9,1,11,6,16,2,9,1,10,2,11,1,9,2,8,1,9,1,10,1,9,1,8,1,13,1,9,2,13,1,9,7,13,1,9,1,8,1,13,1,9,2,8,1,9,1,13,1,9,9,11,1,8,1,11,2,9,1,8,1,9,3,11,1,9,1,11,1,9,3,8,1,9,2,11,1,9,2,11,1,9,2,8,1,9,2,17,1,11,1,9,2,8,1,11,2,10,1,9,1,11,2,9,1,11,1,10,1,13,1,11,1,13,1,10,1,9,2,13,2,8,1,9,1,8,1,7,1,29,2,30,2,28,17,30,1,12,1,10,1,9,1,11,1,8,1,24,2,13,1,7,1,13,1,29,1,30,1,6,1,30,3,28,2,30,1,28,2,30,1,28,5,30,2,28,4,29,1,12,2,11,1,24,1,6,1,30,1,28,128,30,2,28,1,30,1,28,9,30,1,28,11,30,1,28,2,29,1,28,3,30,1,6,3,13,3,8,1,9,1,8,1,10,1,13,4,8,1,13,1,9,3,10,1,8,1,13,2,8,2,13,2,6,1,8,2,13,4,8,1,13,1,7,1,8,1,13,1,8,1,7,1,29,1,7,1,6,1,7,1,29,1,7,1,6,2,13,1,7,2,30,1,28,3,6,1,28,3,29,1,6,3,29,1,6,1,29,1,13,1,7,2,13,3,7,2,8,1,13,4,6,1,7,2,13,1,6,2,29,1,30,1,29,1,30,1,28,1,30,1,6,1,13,1,29,1,13,1,6,3,13,2,30,1,6,3,7,1,28,1,6,1,17,12,11,1,17,6,11,1,17,2,15,1,17,1,15,1,9,1,17,1,9,1,12,1,17,1,16,1,17,3,16,1,17,5,16,7,11,2,9,4,13,1,9,1,13,1,9,4,11,3,16,1,9,1,16,2,11,2,16,1,11,2,16,2,11,1,16,1,11,1,16,2,11,3,9,1,17,1,16,1,11,1,13,3,17,2,11,2,16,1,17,1,16,1,11,1,16,2,9,2,11,3,16,1,11,5,9,1,16,1,11,2,16,1,11,2,16,2,17,4,16,1,17,3,16,2,17,1,9,1,28,2,30,1,6,2,28,1,30,6,29,1,30,1,29,1,30,6,28,2,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,4,6,3,28,1,30,1,28,1,30,1,28,1,29,1,30,3,28,1,30,3,28,1,30,2,6,1,28,4,30,3,28,2,13,1,6,1,30,2,29,1,30,1,28,1,30,1,29,1,28,1,7,1,6,1,30,2,6,1,30,1,28,1,30,1,29,1,30,5,6,1,30,3,28,1,6,1,30,3,28,2,6,4,30,1,6,1,29,1,30,1,29,1,28,2,30,4,6,1,30,6,28,1,30,2,28,1,30,4,28,1,30,2,28,1,29,1,28,1,30,1,28,1,30,2,6,1,28,1,6,1,30,2,13,1,29,1,13,1,30,1,6,2,28,1,29,1,30,1,6,1,29,1,6,1,28,1,6,1,28,1,6,1,30,2,6,1,30,2,6,1,30,2,29,2,6,1,30,3,6,2,13,1,30,1,6,2,7,1,6,3,30,1,6,1,13,1,6,2,13,1,7,1,13,1,6,1,13,1,6,2,7,1,6,2,13,1,6,5,13,1,6,2,30,1,6,2,30,1,6,1,30,1,6,4,7,1,30,1,13,1,30,1,6,6,30,1,6,1,30,1,29,1,6,3,30,2,6,1,30,1,6,1,28,1,29,2,30,2,6,2,30,1,29,1,28,1,6,1,30,5,29,1,30,3,28,1,6,1,30,1,28,1,6,1,30,1,6,1,30,2,7,1,6,2,13,1,29,1,6,2,13,1,6,3,13,1,30,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,13,3,6,3,13,2,6,1,13,1,6,1,13,1,6,2,30,1,13,1,6,2,13,1,6,2,13,1,30,2,13,1,6,2,13,1,29,1,6,3,7,1,30,1,13,1,30,1,6,1,30,1,13,1,7,2,29,1,6,2,13,1,8,2,6,1,7,1,30,3,29,1,7,1,6,1,30,2,13,2,28,1,6,1,30,1,29,1,6,2,30,2,6,4,28,2,6,1,28,1,6,1,29,1,7,1,30,2,6,1,30,3,28,1,6,1,30,4,28,1,30,1,28,1,6,1,30,5,29,1,30,1,6,1,30,4,6,1,30,2,28,3,30,1,28,2,6,1,29,1,30,1,13,1,10,1,9,1,6,2,13,1,11,1,17,2,10,1,9,1,8,1,11,1,9,3,11,1,9,1,11,1,10,1,13,1,8,1,24,1,13,1,24,1,12,1,10,1,9,1,10,1,17,1,8,1,9,2,30,1,13,1,24,1,13,1,8,1,7,1,8,2,9,1,12,1,10,1,17,1,24,1,6,1,29,1,13,3,16,1,17,1,11,1,8,1,13,1,6,1,30,1,7,1,8,2,9,1,17,3,12,1,17,3,11,2,17,1,12,1,9,1,24,1,13,1,12,1,24,1,8,1,12,1,13,1,8,2,6,1,24,1,11,1,9,3,12,1,11,1,12,2,24,1,12,1,9,2,10,1,9,1,8,4,10,1,8,1,9,1,11,1,9,1,10,2,11,1,9,1,8,1,9,2,11,3,10,1,17,1,11,1,17,2,12,2,16,1,11,3,12,1,11,2,12,1,10,5,9,1,10,1,11,1,9,2,11,1,12,1,17,1,9,1,11,1,12,1,17,4,10,1,12,1,7,1,6,1,28,1,6,1,25,1,29,1,28,6,30,3,29,1,30,2,29,1,26,1,6,1,7,1,29,2,6,1,30,1,25,1,29,1,6,1,25,1,26,1,29,1,28,1,26,1,6,2,7,1,30,1,29,1,7,1,25,2,8,1,6,1,24,1,8,1,6,1,24,3,8,1,10,1,12,1,24,3,17,1,24,1,12,5,17,1,24,1,10,1,12,1,24,2,10,1,24,2,25,1,24,1,8,1,24,3,12,1,24,1,8,1,10,1,24,1,12,2,10,1,12,1,10,1,17,1,12,1,17,1,24,2,12,2,24,4,7,2,6,1,30,1,29,1,28,3,30,1,28,1,30,1,29,1,28,1,30,1,6,1,29,1,25,1,8,2,7,1,8,1,24,3,8,1,24,2,8,1,24,1,6,1,13,1,8,2,24,1,8,1,13,1,29,1,28,3,29,1,30,1,6,1,30,1,28,1,6,1,28,1,29,1,28,2,30,2,28,1,29,1,8,1,24,1,8,1,24,1,13,1,8,4,7,1,24,1,6,1,10,1,8,1,7,1,6,1,25,1,24,1,8,1,25,1,24,1,25,3,8,1,24,3,25,1,8,1,24,1,13,1,24,2,13,1,7,1,13,1,8,1,24,1,10,1,13,1,12,1,8,1,10,1,8,1,24,1,9,1,24,1,13,1,24,1,7,1,13,1,24,1,8,1,7,1,24,1,7,1,24,1,13,1,8,1,24,1,7,1,24,4,13,2,8,1,24,1,6,1,24,1,7,1,24,1,8,1,13,1,24,1,8,1,12,1,8,1,9,1,8,1,24,1,12,1,10,1,13,1,8,1,24,3,10,1,24,1,17,1,24,1,10,1,8,1,10,2,24,2,12,2,24,1,12,1,24,2,12,1,24,1,12,2,24,1,12,3,17,1,12,1,17,18,11,1,17,1,12,1,17,1,9,1,13,1,28,48,30,1,29,1,13,3,6,1,8,1,9,1,8,3,13,1,24,1,7,1,13,1,8,2,10,1,8,1,10,1,9,1,10,1,17,4,16,2,11,1,8,1,9,2,13,1,9,1,13,1,9,2,13,1,9,1,8,1,13,2,8,1,9,1,8,2,6,1,13,1,6,1,13,1,11,1,13,1,9,1,8,1,9,2,17,1,10,1,9,1,13,1,30,1,6,1,30,1,13,1,9,1,11,1,9,1,13,1,8,1,6,1,28,1,30,2,28,31,30,1,13,2,7,1,13,1,6,3,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,30,2,6,1,30,2,6,1,13,3,6,3,29,1,6,1,29,1,6,1,29,1,30,1,28,1,13,1,28,1,6,1,13,1,28,1,29,1,13,3,6,1,13,1,6,1,8,1,13,6,9,1,11,1,9,3,13,1,8,1,13,2,6,1,8,1,9,1,7,1,6,1,13,2,7,1,13,2,6,1,13,1,7,1,13,2,6,1,13,1,30,1,6,1,13,1,30,1,13,1,30,2,6,1,28,1,6,1,13,1,7,1,30,1,29,1,6,4,8,1,28,1,8,1,7,1,29,1,30,3,28,1,6,1,13,2,30,1,28,21,30,1,28,9,13,1,29,1,30,1,28,7,6,1,17,2,16,1,9,2,8,1,9,1,24,1,7,1,8,1,29,1,30,1,29,2,30,1,28,1,30,1,29,1,7,1,8,5,10,1,9,1,17,1,12,1,8,1,6,1,28,6,30,1,24,2,6,2,29,1,28,29,30,1,29,1,28,2,30,2,17,2,13,1,7,1,6,1,8,1,12,1,24,2,13,1,30,1,28,1,30,1,28,1,30,1,29,1,8,2,24,2,10,1,6,1,28,5,6,1,15,1,8,1,6,1,28,4,6,2,13,1,24,1,8,1,12,1,10,1,14,1,24,1,13,1,6,1,28,1,13,1,8,1,13,1,9,1,6,1,28,2,6,2,7,1,13,1,28,19,29,1,28,28,30,2,17,2,9,1,28,2,}, {28,42,6,1,13,1,24,2,10,1,13,1,6,1,13,1,6,3,28,1,30,1,28,2,7,1,17,1,8,1,28,6,6,1,24,2,13,1,8,1,6,1,28,10,7,1,24,1,13,1,30,1,28,29,30,1,28,13,29,1,30,1,6,2,30,1,7,1,12,1,10,1,6,2,30,1,7,1,13,1,24,1,17,1,10,1,7,1,28,1,29,1,7,1,6,1,13,1,6,1,8,1,7,1,6,2,28,6,30,1,7,1,13,1,8,1,6,1,28,5,30,1,8,1,10,1,11,1,9,2,7,1,8,1,24,1,8,1,13,1,8,2,7,1,24,1,15,1,24,2,6,1,29,1,13,1,6,1,7,1,30,1,28,31,30,1,28,1,30,1,28,1,30,1,6,2,13,1,24,1,12,1,6,2,28,4,6,1,8,3,9,1,8,1,29,1,13,1,24,1,7,1,6,1,8,1,6,1,29,1,28,5,30,1,29,1,28,1,30,1,6,3,8,1,10,1,16,1,17,3,7,1,28,15,6,1,30,1,6,1,30,1,6,2,28,1,29,1,30,2,28,9,7,1,9,1,13,1,9,2,16,1,11,1,9,1,16,1,11,1,8,1,16,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,10,1,9,2,11,2,9,1,16,1,11,1,9,1,16,1,13,1,10,1,13,1,9,1,16,1,11,1,9,1,10,1,11,1,13,1,9,2,16,1,17,1,8,2,11,1,13,1,11,1,9,1,13,1,16,1,8,2,9,1,8,1,11,1,10,1,9,3,13,2,9,1,8,1,13,3,8,1,9,1,11,2,8,1,13,1,9,1,8,1,13,1,9,1,8,2,9,1,11,1,9,1,8,1,9,3,16,1,9,1,11,2,9,1,16,1,9,1,16,1,9,1,16,4,9,1,17,1,8,1,16,1,9,3,11,1,16,1,11,1,9,1,16,1,9,1,8,1,11,1,16,1,11,3,13,1,6,1,30,1,6,2,28,1,30,1,7,1,13,2,6,2,13,1,30,1,6,1,7,1,8,1,9,1,12,1,13,1,7,1,30,1,28,1,30,3,29,1,28,1,30,1,13,1,30,2,6,1,7,1,30,6,13,1,6,1,13,2,8,3,9,3,11,2,9,1,10,1,11,1,17,3,11,2,16,1,9,1,11,3,10,1,11,2,9,1,10,1,9,1,11,1,9,1,11,1,9,2,11,1,9,1,12,1,8,3,10,1,9,4,8,1,9,2,11,1,10,1,9,1,8,1,13,1,9,1,13,1,8,4,9,2,10,1,11,1,8,1,11,4,9,1,11,1,9,3,11,1,16,1,8,1,9,4,8,1,9,1,8,2,9,2,11,1,9,1,11,1,10,1,11,1,9,1,11,1,9,2,8,1,9,1,10,1,11,1,10,1,11,3,9,1,10,1,11,1,9,2,13,1,9,1,13,1,8,1,9,1,10,1,8,2,24,2,8,1,6,1,30,1,29,1,30,1,28,18,6,1,9,2,24,3,13,1,8,2,13,2,30,1,6,1,30,1,29,1,6,1,30,1,28,7,30,1,28,3,30,1,28,6,9,2,12,1,8,1,13,1,29,1,28,96,30,1,28,37,30,1,28,2,30,1,28,14,30,1,28,7,6,1,30,1,6,2,29,1,13,2,9,1,13,1,10,1,9,1,13,1,8,4,9,2,13,1,9,1,13,1,9,2,13,1,8,2,13,1,9,2,8,1,13,1,9,1,13,1,8,3,24,1,13,2,6,1,9,1,13,1,7,1,6,1,30,1,28,1,13,1,7,1,28,1,8,1,6,4,30,1,29,1,28,1,30,2,29,1,28,1,7,1,6,1,28,1,13,1,6,1,7,1,6,1,13,3,9,1,7,1,9,1,13,3,8,1,13,3,9,1,13,1,6,1,13,3,7,1,6,2,30,1,7,1,28,1,30,1,7,2,13,1,30,1,13,1,29,1,28,2,30,1,6,2,7,2,29,1,10,1,17,13,9,1,17,10,16,1,10,1,17,1,11,1,17,2,16,1,12,1,17,8,16,5,11,1,16,1,9,2,13,1,9,2,11,1,13,1,9,1,11,1,9,2,11,1,9,2,16,1,9,1,11,4,9,1,11,2,9,1,11,1,16,1,11,6,9,1,11,1,9,1,17,1,11,1,13,3,30,1,7,1,9,2,16,1,11,1,16,3,11,1,16,3,17,2,16,1,17,2,16,2,17,3,16,1,17,12,16,2,17,2,16,3,13,1,28,2,6,1,30,4,28,1,6,1,30,3,29,1,30,2,6,1,30,3,28,1,30,3,6,1,30,1,28,1,30,10,6,2,30,1,29,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,6,2,30,2,28,1,30,1,28,4,30,1,28,2,6,2,30,1,29,1,6,1,13,1,28,1,6,1,28,1,30,2,28,1,30,1,29,1,28,1,30,3,6,3,29,1,28,1,30,2,28,1,6,1,30,4,29,1,30,2,6,1,30,3,6,1,28,1,30,1,6,2,30,2,6,1,30,4,29,1,28,1,30,3,28,1,30,1,29,1,30,2,29,1,30,2,28,1,30,2,28,3,30,3,28,1,30,2,28,1,30,5,29,1,6,3,13,1,6,1,30,1,6,2,30,3,6,1,13,1,28,1,6,1,28,1,30,5,6,1,30,1,13,1,6,1,30,1,6,2,29,1,13,2,6,1,30,1,13,2,6,1,13,1,6,1,13,1,6,3,7,1,6,2,13,1,6,1,13,1,7,1,6,1,7,1,13,1,6,6,13,1,6,2,13,1,30,2,6,3,30,2,6,2,30,1,6,1,29,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,7,1,6,1,30,1,6,5,13,1,6,2,13,1,6,1,29,1,6,6,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,2,29,1,30,3,29,1,28,1,6,3,30,1,6,2,30,1,6,1,13,1,6,1,30,2,6,1,29,1,6,2,13,1,6,1,7,1,6,6,13,1,7,1,13,1,6,1,13,1,7,1,29,1,13,1,6,2,13,1,6,2,13,1,6,1,13,4,29,1,6,2,30,1,6,2,30,1,13,1,6,2,30,1,13,1,6,1,30,1,6,1,13,1,6,1,13,1,7,1,6,2,7,1,6,1,30,1,6,1,30,1,13,2,9,1,13,1,30,4,6,2,13,2,30,2,6,2,28,1,6,2,30,2,6,3,30,1,29,1,6,1,13,1,6,1,30,3,29,1,30,3,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,2,29,1,30,13,28,1,30,2,28,1,30,2,28,3,30,1,6,1,28,1,8,1,13,1,6,1,13,2,9,1,13,2,8,1,9,1,11,1,17,1,11,1,13,1,9,7,11,1,9,2,13,1,8,1,24,1,13,1,9,1,12,1,11,2,9,1,11,2,9,1,24,1,8,1,7,1,10,1,24,1,13,1,8,2,24,1,9,1,11,1,17,1,9,1,6,1,13,1,29,1,6,1,8,2,17,2,12,1,24,1,8,1,7,1,30,1,29,1,6,1,9,1,12,1,10,1,17,1,12,4,17,1,12,2,17,1,11,2,9,3,8,2,24,1,8,2,13,3,8,1,11,2,10,1,12,1,11,2,10,1,9,3,8,2,9,1,10,1,13,1,24,1,9,2,8,1,10,1,9,1,13,1,9,1,8,1,9,1,11,1,9,1,13,1,8,1,12,2,10,1,11,1,10,1,17,1,11,1,9,1,12,1,11,2,9,2,11,3,10,1,11,3,10,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,10,2,12,1,11,1,9,1,17,2,12,1,17,2,12,1,8,1,7,1,6,1,29,2,30,3,28,7,29,1,28,4,29,2,30,2,6,1,29,1,7,1,26,1,29,2,8,1,30,1,26,1,29,1,27,1,28,1,29,1,8,1,29,1,30,1,29,2,25,4,8,1,25,1,24,2,10,1,24,2,12,2,8,2,10,1,12,1,10,1,12,1,17,1,10,1,8,1,10,1,24,1,12,1,8,1,12,1,24,1,12,2,8,1,24,2,10,2,12,1,10,1,12,1,24,2,17,1,8,1,24,2,9,1,24,1,9,1,12,1,17,4,10,1,12,1,24,2,8,2,6,2,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,26,1,28,1,8,2,24,1,8,2,24,2,10,1,8,3,13,2,7,1,8,1,10,1,8,1,24,1,29,1,28,1,6,3,7,1,13,1,8,2,10,1,11,2,9,2,24,2,28,2,29,1,28,1,8,1,12,1,13,2,7,1,24,1,13,1,24,1,6,1,13,1,24,1,13,1,8,1,13,1,24,1,6,1,13,1,8,1,25,2,8,1,25,1,8,2,24,4,8,1,24,2,13,1,24,1,7,1,8,2,24,3,8,2,24,1,8,1,24,3,7,1,24,2,8,3,24,2,8,2,13,1,8,1,7,1,8,1,13,1,8,1,7,1,12,1,24,1,8,2,24,1,13,2,8,1,12,1,13,1,24,3,9,1,10,1,24,2,8,1,6,1,24,1,9,1,8,1,24,1,6,1,13,1,24,1,12,1,10,1,8,1,12,1,8,1,13,1,24,1,12,1,24,3,17,1,13,1,24,2,10,1,12,1,24,1,12,2,24,1,12,1,17,2,12,1,17,2,12,1,17,18,12,1,11,1,12,1,9,1,6,1,28,48,30,1,28,1,6,1,8,1,7,1,6,1,9,1,7,1,13,1,8,2,13,2,24,2,9,3,24,1,10,2,17,5,16,2,10,1,16,1,8,1,9,3,11,1,9,1,13,3,9,3,6,1,11,1,9,1,8,1,9,1,13,1,6,1,13,1,9,1,11,1,13,1,9,4,11,1,13,2,30,1,28,1,6,1,13,1,9,2,13,1,9,1,13,1,7,1,6,1,28,33,30,1,13,4,6,1,13,1,7,1,13,6,6,1,13,2,7,1,30,1,6,4,13,1,6,1,13,2,6,1,13,1,30,1,6,1,7,1,13,1,6,1,30,1,6,1,13,1,28,1,13,1,7,1,30,1,6,1,7,1,13,2,7,2,13,2,7,2,13,1,9,1,13,2,8,1,9,1,6,1,13,1,6,1,13,5,6,1,13,2,6,1,13,1,6,1,13,2,6,2,13,3,6,1,13,4,28,1,6,1,13,1,6,1,30,1,6,1,30,1,6,2,13,1,30,1,13,2,6,1,13,2,6,1,28,1,13,2,28,1,30,1,28,1,30,2,28,1,7,1,28,1,6,1,28,31,13,1,6,1,30,2,28,6,29,1,17,2,12,1,10,1,12,1,13,1,9,1,8,1,13,1,24,1,13,1,6,3,30,1,7,1,30,1,6,2,7,2,24,1,9,1,12,1,10,1,13,1,12,1,9,1,8,1,28,4,30,1,28,2,6,1,10,1,8,1,13,1,29,1,28,34,29,1,24,1,17,1,12,1,13,2,6,1,24,1,12,1,24,2,13,1,29,1,28,2,30,1,28,1,6,1,8,4,10,1,6,1,28,5,30,1,12,1,8,1,28,4,30,1,13,1,6,1,8,1,9,2,12,1,15,1,12,1,9,1,6,1,29,1,30,2,13,1,9,2,6,1,28,3,7,1,9,1,13,1,28,46,30,1,28,2,29,1,17,1,10,1,13,1,28,2,}, {28,18,30,1,28,22,29,1,8,1,13,1,24,2,8,1,24,1,13,1,6,1,30,1,28,1,30,1,28,3,29,1,6,1,12,1,9,1,7,1,28,6,13,1,8,1,13,1,8,1,6,1,28,10,29,1,9,1,13,1,6,1,28,39,30,1,28,4,7,1,29,1,6,1,8,2,24,1,17,1,6,1,28,1,30,1,13,2,8,1,17,1,24,2,6,1,29,1,6,1,29,1,13,1,7,1,8,1,6,2,29,1,28,6,29,1,13,3,8,1,28,5,30,1,9,1,10,2,9,1,13,2,8,1,13,1,8,1,24,1,8,2,13,1,8,1,9,1,15,1,9,1,7,2,29,1,13,1,29,1,28,32,30,1,28,3,6,1,30,2,29,1,24,1,9,1,24,1,30,1,28,5,8,1,24,1,15,1,9,1,13,1,8,1,13,1,29,1,7,1,6,2,30,1,28,1,30,1,6,2,28,4,30,1,29,1,6,1,7,1,24,1,8,1,12,1,17,1,16,1,17,2,30,1,28,1,30,1,28,13,6,1,29,1,6,1,29,2,30,3,29,1,28,1,30,1,28,7,30,1,13,1,9,1,13,1,11,3,9,1,11,1,10,1,11,1,16,1,9,1,16,1,11,1,16,1,9,1,11,1,9,1,16,1,9,1,11,1,16,2,10,1,9,1,11,1,9,1,16,1,9,4,10,1,9,2,16,1,11,3,17,1,16,1,9,3,16,1,9,1,16,1,11,2,8,1,11,2,10,1,9,1,10,1,7,1,9,2,13,1,9,1,13,1,9,1,11,1,9,2,8,2,13,1,10,1,9,2,16,1,9,1,13,1,8,3,9,1,13,1,9,2,8,2,9,1,11,1,10,1,11,1,9,1,16,2,9,1,11,1,17,1,16,1,17,1,11,1,16,3,11,2,17,1,16,1,9,1,11,2,16,1,11,1,16,4,9,2,16,1,11,2,9,1,11,1,9,1,13,2,7,1,6,3,30,1,6,1,7,1,6,1,7,1,13,1,7,1,29,1,13,3,8,1,16,1,8,1,6,1,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,2,29,1,30,2,6,1,29,1,28,1,29,1,30,1,29,2,6,1,7,1,13,1,7,1,8,1,13,1,11,2,13,1,11,1,9,1,11,1,12,1,16,1,17,3,16,1,9,1,11,1,10,1,11,1,9,1,11,1,16,1,11,1,10,1,16,2,11,1,9,1,11,1,9,1,10,1,9,3,11,1,9,1,11,1,9,2,8,1,9,4,11,1,8,1,9,4,8,1,9,2,11,1,9,1,11,1,8,1,9,1,13,1,9,1,13,1,8,1,10,1,11,1,9,1,11,1,13,1,16,1,8,1,9,1,10,1,9,3,13,1,8,1,11,1,9,1,11,1,8,1,10,1,8,1,9,2,16,1,13,1,9,3,11,1,13,1,9,2,11,1,10,1,9,1,17,1,9,1,11,3,9,2,13,1,9,1,13,1,9,2,13,2,9,2,13,1,8,1,24,1,13,2,29,1,8,1,6,1,30,3,28,16,8,1,9,1,13,1,8,2,9,1,13,1,8,1,7,1,13,2,6,1,30,1,6,1,30,2,6,1,28,18,13,1,11,1,17,1,8,1,9,1,28,2,29,1,28,129,30,1,28,1,30,2,28,2,29,1,28,16,30,1,28,3,30,1,28,1,7,1,29,1,7,1,13,1,6,1,13,3,8,1,11,1,13,5,8,1,9,1,7,1,8,1,13,1,9,2,13,2,9,1,13,1,8,2,13,1,8,1,13,1,9,1,13,1,24,1,6,1,24,1,9,1,8,1,13,5,29,1,6,1,13,1,28,1,13,1,28,1,29,2,6,1,29,1,6,1,29,1,28,2,30,1,28,3,30,1,28,1,29,1,6,1,29,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,9,2,13,1,9,1,6,1,13,3,9,1,13,5,30,1,8,1,13,2,6,3,28,1,13,1,6,2,30,2,28,1,30,1,28,1,6,1,28,1,30,1,6,1,17,18,16,1,17,6,12,1,16,1,12,1,17,14,16,2,17,1,11,1,16,1,11,2,9,3,13,1,9,3,11,1,9,1,16,1,9,4,11,1,16,1,11,1,16,1,11,5,16,1,11,2,16,1,11,1,16,3,11,2,9,1,11,1,13,2,8,1,9,2,11,1,9,2,11,1,9,1,16,1,9,1,16,6,17,1,16,4,17,3,16,1,17,2,16,2,17,5,16,1,17,6,16,1,17,2,8,1,28,2,6,2,30,1,6,1,28,1,30,1,6,1,28,1,30,1,29,1,30,6,29,2,28,1,29,1,28,4,30,3,28,1,30,1,28,1,30,5,6,1,29,1,6,1,29,1,30,2,28,1,30,1,28,1,6,1,30,12,28,1,6,1,30,1,28,3,13,2,30,1,28,1,30,4,28,1,30,4,6,1,30,1,6,1,29,1,30,5,29,1,30,5,28,1,30,1,28,1,6,1,28,1,30,3,6,1,30,2,6,2,30,2,29,1,30,3,28,1,6,1,30,2,6,2,28,1,30,1,6,1,30,3,28,1,30,4,28,3,30,2,28,2,30,1,29,1,30,1,6,1,30,1,7,1,29,1,13,1,6,1,13,2,6,3,30,1,29,1,30,3,6,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,6,1,30,1,13,1,30,1,28,1,13,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,6,3,30,1,6,1,13,2,6,1,13,3,6,2,13,1,30,1,6,2,13,1,6,2,30,1,13,1,30,1,6,3,29,1,13,2,6,3,30,2,13,1,30,1,13,1,7,1,6,1,30,1,6,1,30,1,6,1,29,2,6,6,30,1,6,3,13,1,6,1,13,1,30,1,29,1,6,4,30,1,29,1,30,3,13,1,30,1,6,1,30,1,6,1,30,2,29,1,30,3,6,1,30,1,29,1,6,1,30,1,6,1,28,1,6,1,30,2,6,1,30,1,7,1,29,1,6,2,7,1,13,3,6,8,13,1,30,2,6,1,13,1,6,3,13,1,6,1,13,1,6,1,29,1,7,1,30,1,6,2,29,1,7,1,29,1,7,1,6,2,13,1,8,1,30,1,6,3,8,1,30,1,6,5,29,1,30,1,29,1,6,1,13,2,7,1,8,1,13,1,6,1,30,3,6,3,29,1,30,1,7,1,29,1,6,1,7,1,30,1,6,3,30,1,13,1,30,1,6,1,30,1,28,1,30,2,6,1,30,3,6,1,30,1,29,1,6,2,30,1,6,1,30,1,6,1,13,1,6,2,30,1,6,1,29,1,6,1,30,1,28,1,29,1,28,2,6,2,30,10,28,2,30,1,29,1,30,1,28,1,6,1,8,1,7,1,30,1,13,1,9,3,8,1,9,1,16,1,17,1,9,1,11,2,10,1,9,2,8,2,9,1,10,1,11,1,24,2,13,3,8,1,11,1,9,1,10,3,12,1,9,1,24,1,13,1,7,1,24,4,29,1,9,2,12,1,17,1,9,1,29,1,6,3,30,1,24,1,17,1,10,1,12,1,24,1,6,1,7,1,29,2,7,1,8,1,9,1,11,1,17,2,11,1,17,2,12,1,17,1,12,3,17,1,9,1,8,1,9,1,24,2,13,1,24,1,7,1,8,1,13,1,6,1,8,1,12,1,9,1,10,1,9,4,10,1,9,1,10,1,9,1,13,1,24,1,8,1,24,1,8,1,13,1,9,2,13,1,9,2,24,1,7,1,9,1,8,2,10,2,11,2,12,1,9,2,17,1,9,1,11,1,17,1,9,1,10,1,11,1,9,1,11,1,12,2,11,2,12,1,11,1,12,1,11,1,10,2,8,1,17,1,9,1,11,1,12,2,11,2,17,2,12,1,17,2,24,2,7,1,25,1,29,2,30,1,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,1,29,1,28,1,29,1,7,1,6,1,30,1,29,1,6,1,29,1,25,1,27,1,8,1,25,1,8,1,25,1,29,1,28,1,25,1,29,1,7,1,25,1,6,1,30,1,25,1,8,1,26,1,24,1,8,1,24,4,8,1,12,1,24,1,12,3,17,1,24,3,12,2,17,1,12,1,24,1,12,2,24,2,12,2,24,1,10,1,24,2,12,1,24,1,6,1,24,7,9,1,12,2,10,1,12,1,17,1,10,1,12,1,17,1,24,3,7,1,6,3,28,1,29,1,28,4,30,3,28,1,30,1,29,1,28,1,27,2,25,3,24,1,13,1,24,2,10,1,24,1,13,1,9,1,7,1,13,3,8,1,10,1,6,1,30,1,28,1,30,1,28,4,6,1,29,1,7,2,13,1,8,2,10,1,9,1,13,1,8,1,28,1,29,1,6,1,13,1,24,1,13,2,7,1,13,2,6,1,24,1,13,1,8,1,6,1,8,1,6,2,8,2,25,2,6,1,24,1,30,1,24,1,25,1,8,2,24,1,25,1,8,1,13,1,7,1,12,1,24,1,8,1,13,1,24,1,8,1,17,1,7,1,13,1,6,1,8,3,6,1,24,1,8,3,7,1,13,2,24,1,12,1,6,1,8,1,7,1,8,3,24,3,12,1,13,1,7,2,13,1,8,1,7,1,24,1,10,1,13,1,10,1,24,1,12,1,9,1,12,1,7,1,12,1,13,1,9,1,24,2,8,1,13,1,9,1,8,1,12,1,10,1,12,1,7,1,10,1,12,1,8,1,10,2,24,3,10,1,8,1,10,2,6,1,24,2,17,1,8,1,12,4,13,1,17,1,12,1,17,20,11,1,12,1,7,1,13,1,28,49,6,1,13,1,6,1,13,1,6,1,9,1,13,1,8,1,24,1,8,1,13,2,9,1,8,2,24,1,9,1,10,2,17,5,11,1,16,1,9,1,11,1,9,2,11,2,9,2,8,1,13,2,9,4,8,1,11,1,6,1,13,2,9,1,8,1,13,1,9,2,13,1,11,1,9,3,10,1,6,1,28,2,6,1,13,1,11,1,9,2,8,1,9,1,6,1,30,3,28,31,13,1,9,1,13,3,6,1,30,1,6,1,9,1,13,2,6,1,13,1,6,3,30,1,13,1,6,2,28,1,6,2,13,3,7,1,6,5,13,3,6,1,13,1,7,1,6,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,8,1,6,1,13,1,9,1,13,1,30,1,9,1,13,1,8,1,13,2,9,1,7,1,9,1,13,1,9,1,13,4,8,1,13,2,30,1,13,2,28,1,13,1,6,1,13,1,30,2,13,4,30,1,6,2,7,1,30,2,6,2,29,1,30,1,6,1,28,1,13,2,6,1,13,2,9,1,6,3,30,1,6,1,28,1,6,1,29,1,6,1,7,1,30,2,28,1,30,1,28,23,30,1,28,4,30,1,29,1,30,1,29,1,28,1,29,1,28,5,29,1,9,1,17,1,12,1,10,1,24,1,13,1,12,1,7,1,13,1,8,2,13,2,29,1,6,1,13,1,6,1,13,3,8,1,12,1,8,1,24,1,12,1,10,1,17,1,9,1,13,1,28,7,29,1,9,2,13,1,29,1,28,35,9,1,15,1,17,1,7,1,13,1,6,1,8,1,9,1,10,1,24,1,6,2,28,1,29,1,28,3,8,1,15,1,24,1,12,1,7,1,6,1,28,5,6,1,17,1,7,1,29,1,28,3,6,2,24,1,9,1,13,1,8,1,24,1,15,1,12,1,8,1,13,1,6,3,9,1,12,1,8,2,28,3,24,1,10,1,29,1,28,49,13,1,12,1,17,1,6,1,28,2,}, {28,17,30,1,28,23,13,2,9,1,8,1,13,1,24,1,9,1,13,1,6,1,30,1,29,1,28,4,30,1,7,1,15,1,8,1,13,1,28,6,8,1,24,1,13,1,24,1,6,1,28,10,13,1,9,2,6,1,28,28,30,1,28,15,30,1,6,1,13,2,8,1,24,1,15,1,6,1,28,2,13,1,30,1,8,1,17,2,13,1,6,2,28,1,6,1,7,1,13,1,8,1,13,1,6,2,28,4,30,1,28,1,29,1,7,1,13,1,11,1,13,1,6,1,28,5,8,1,10,1,24,1,9,1,8,1,24,1,8,5,13,1,24,1,8,1,10,1,15,1,8,1,6,2,13,2,7,1,29,1,30,1,28,31,29,1,30,1,28,1,6,1,30,1,6,1,7,1,24,2,8,1,28,5,30,1,24,1,10,1,24,2,8,1,6,1,9,1,8,1,30,2,28,1,30,2,29,1,28,1,30,3,28,1,30,2,29,1,28,1,13,1,8,1,9,2,11,1,12,1,17,2,7,1,28,14,30,1,28,1,30,1,13,1,29,1,6,1,28,2,29,1,6,1,28,1,30,1,28,8,13,1,8,1,9,2,11,1,16,1,11,1,9,1,16,1,10,1,17,1,10,1,16,2,9,2,10,1,11,1,9,1,11,2,9,2,16,1,11,1,16,1,17,1,11,2,9,1,10,1,9,2,13,1,11,2,9,1,16,1,9,1,8,1,11,1,9,1,8,1,9,1,10,1,11,1,9,1,13,1,9,1,13,1,9,1,11,3,8,1,13,1,9,1,8,1,9,1,16,1,13,1,9,1,8,1,9,4,6,1,7,1,13,1,8,1,9,5,13,1,9,1,8,2,13,1,16,1,8,1,13,1,16,1,9,2,16,1,9,1,16,1,9,1,16,2,17,1,16,1,11,1,17,1,16,1,11,2,16,1,9,1,11,1,9,1,10,1,9,1,16,1,9,2,16,2,9,1,16,3,11,1,10,1,16,1,9,1,16,1,13,1,6,1,13,1,28,1,13,1,7,1,28,2,30,1,7,1,6,1,30,1,13,1,30,1,6,1,13,1,8,1,9,2,8,1,30,1,28,4,29,1,28,2,29,1,6,1,28,1,30,1,6,2,30,1,6,1,28,1,29,1,28,1,6,1,29,1,6,2,8,1,7,1,6,1,9,1,17,1,9,1,11,1,12,1,9,1,11,2,16,1,17,3,16,1,11,2,9,1,11,3,16,1,11,1,16,2,10,1,16,1,11,1,9,1,10,1,9,1,11,1,10,1,9,3,8,1,9,2,10,1,9,2,8,1,9,7,13,2,9,1,8,1,9,2,12,1,9,5,11,2,9,1,10,1,9,1,10,1,11,1,10,1,9,2,11,1,9,1,11,1,13,1,9,3,10,1,9,4,13,1,9,2,10,1,11,2,9,1,10,2,9,1,8,1,11,2,9,1,11,1,9,1,11,2,9,3,8,1,7,1,13,2,8,1,10,1,8,1,12,1,9,1,7,1,13,1,6,2,30,2,6,1,28,18,24,1,9,1,24,1,8,1,9,1,8,1,9,1,24,1,13,2,6,1,30,1,6,2,28,1,29,1,28,2,30,1,28,8,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,9,1,12,1,9,1,8,1,6,3,28,117,30,1,28,9,30,1,28,5,30,1,28,23,30,1,28,2,13,1,30,1,13,1,6,1,13,3,16,1,9,1,13,2,8,3,9,1,8,1,13,3,8,1,13,2,8,1,13,1,9,1,13,1,9,1,8,3,24,1,9,1,8,2,13,1,7,1,13,1,6,3,7,1,28,1,13,1,30,1,29,1,7,1,30,2,6,2,28,1,6,1,29,1,6,1,30,1,28,3,30,1,28,2,6,1,30,1,28,1,6,1,29,1,6,1,13,2,7,1,13,1,7,2,13,2,8,1,13,9,6,1,13,3,6,3,13,2,7,1,30,1,6,1,29,1,28,2,30,1,28,1,6,1,30,1,6,2,17,26,10,1,12,2,17,7,16,1,17,4,16,6,9,1,11,1,9,4,11,1,9,1,11,1,9,1,11,1,9,2,11,6,16,1,11,1,16,3,11,1,16,1,11,1,16,4,11,1,16,1,9,3,13,1,9,1,11,3,9,3,30,1,9,1,11,2,9,1,16,1,11,1,16,3,11,1,16,5,17,1,16,1,17,1,16,1,17,2,16,1,17,9,16,1,17,2,16,1,17,1,16,2,6,1,28,2,30,2,29,1,30,2,28,1,30,2,6,1,13,1,6,1,30,2,6,1,30,2,6,1,28,1,6,1,28,1,30,4,6,2,28,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,7,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,6,30,1,28,1,30,1,28,1,9,1,6,1,30,1,28,4,30,3,28,1,30,3,6,1,30,1,6,1,30,1,6,1,30,5,6,1,30,4,28,1,30,1,6,1,30,4,29,1,6,3,29,1,6,2,29,1,30,1,6,2,13,1,30,4,28,1,30,1,6,1,28,1,6,1,30,2,28,1,30,9,28,1,30,1,28,1,30,1,28,1,6,3,30,1,6,2,30,1,13,1,6,3,30,2,6,1,30,1,6,2,28,1,30,1,28,1,30,1,6,1,30,2,29,1,30,1,6,3,30,1,6,1,30,1,7,1,30,2,29,1,6,1,30,1,6,1,30,2,6,1,30,1,6,2,30,1,7,1,6,1,30,1,6,1,13,1,6,1,13,1,29,1,13,1,6,2,29,1,6,1,30,1,13,1,30,1,6,1,29,1,13,1,30,2,13,1,6,1,30,1,6,1,30,1,6,1,28,1,6,1,30,2,29,1,13,1,6,1,30,1,6,1,13,1,6,2,30,1,6,1,29,1,30,2,6,1,30,1,6,1,30,1,7,1,29,1,30,1,6,1,13,1,6,1,30,3,6,2,30,1,6,3,13,1,30,1,6,1,30,3,28,1,6,1,30,4,6,1,30,2,6,1,30,1,6,1,30,1,6,4,30,1,29,1,30,1,6,1,30,1,6,1,29,1,7,1,6,4,7,1,6,3,13,1,6,5,7,1,6,1,29,2,13,1,9,1,13,1,30,1,13,1,29,1,30,2,6,1,30,2,6,3,13,2,30,1,13,1,29,1,6,1,13,1,30,1,6,2,30,1,6,5,28,1,30,1,6,1,7,1,6,1,13,1,8,1,13,1,6,1,30,2,6,3,30,1,7,1,6,1,28,1,29,1,30,1,13,1,29,1,30,1,6,1,30,1,6,2,30,2,29,1,30,2,13,1,6,1,30,5,6,1,30,4,28,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,28,1,13,2,6,1,30,2,6,1,30,8,29,1,30,3,29,1,28,2,6,1,13,2,6,1,8,1,9,2,11,1,8,1,11,1,16,1,17,1,9,2,11,1,9,1,10,1,9,3,10,1,9,1,12,1,8,1,9,1,8,3,9,1,11,1,9,1,11,1,10,1,12,2,9,1,8,3,24,2,13,1,6,2,8,1,12,1,17,1,12,1,7,1,29,2,6,1,30,1,6,1,12,2,17,1,9,1,8,1,13,1,29,1,6,1,28,1,30,1,8,1,12,1,9,1,11,1,17,10,12,1,9,1,8,1,13,1,8,1,13,1,8,1,13,1,7,2,8,1,13,1,6,1,12,2,10,2,9,1,24,1,10,1,7,1,8,3,24,1,30,1,8,1,13,1,24,1,8,1,24,1,13,2,9,1,10,1,8,1,10,1,13,1,10,3,9,1,11,5,10,1,16,1,9,1,11,3,12,1,17,1,11,1,12,2,10,1,11,1,9,1,11,1,8,1,9,1,11,1,9,1,11,1,12,4,11,1,17,4,10,2,8,1,6,1,26,1,6,1,30,1,29,1,28,1,29,1,27,1,28,3,30,1,28,1,30,1,28,4,29,1,28,3,30,1,28,1,25,1,7,1,29,1,6,1,25,1,24,1,30,1,25,4,24,3,6,1,25,1,6,1,25,2,29,1,8,1,10,1,7,1,8,1,10,1,24,1,25,1,12,1,10,1,24,1,17,1,24,3,10,1,24,1,12,1,8,1,12,3,17,1,24,1,12,1,24,3,12,1,24,2,10,1,8,1,10,1,24,3,8,1,24,2,10,1,24,1,17,1,24,2,9,1,12,2,17,1,12,1,17,1,12,1,10,1,12,1,13,1,7,1,6,1,29,1,30,2,29,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,26,1,27,1,26,1,6,1,25,1,8,1,24,1,17,1,10,1,8,1,24,1,10,1,24,1,7,1,13,1,6,1,24,2,13,1,29,2,28,2,30,3,28,6,30,1,29,1,13,1,10,1,9,2,24,1,13,1,6,1,8,2,24,1,13,1,8,3,13,1,7,1,8,3,13,1,6,1,24,1,25,1,6,1,8,1,10,1,8,1,24,1,25,1,24,1,25,1,8,2,25,1,8,1,25,1,24,1,7,1,24,2,13,1,10,1,24,1,8,1,24,2,10,1,24,4,6,2,13,2,10,1,8,1,13,1,8,1,6,1,8,1,7,2,8,1,6,1,7,1,8,2,24,2,6,1,13,1,8,1,13,1,24,1,13,2,7,1,8,1,9,1,12,1,10,1,8,1,24,1,8,1,12,1,24,1,12,1,24,3,8,2,13,1,8,1,10,1,8,1,10,1,24,1,12,1,8,1,24,1,12,1,24,4,12,1,24,2,8,1,17,1,24,1,10,1,24,1,12,1,24,1,17,1,24,1,17,3,12,1,17,19,12,2,11,1,9,1,13,2,28,48,29,1,30,1,7,1,6,1,13,2,8,1,13,1,8,1,9,1,8,2,6,1,13,1,9,1,13,1,9,1,24,1,10,3,17,3,12,1,11,1,16,1,11,1,9,2,16,1,13,1,9,1,11,2,8,1,9,1,13,1,9,2,13,1,9,2,11,1,13,1,11,1,8,1,13,1,8,1,13,1,10,1,13,2,8,1,9,1,11,1,8,1,13,1,6,1,13,1,6,1,30,1,9,2,11,1,9,1,13,1,9,1,13,1,7,1,28,34,9,1,13,1,8,1,6,1,13,6,8,1,6,1,13,1,6,1,13,2,7,3,30,1,13,1,6,1,13,3,6,1,7,1,13,2,6,1,13,1,7,1,6,1,7,1,30,1,6,1,13,1,6,1,30,1,13,3,30,1,6,1,8,1,30,1,13,3,9,1,13,1,7,1,13,3,9,1,13,1,8,1,13,2,28,1,9,2,13,1,6,2,13,3,6,1,7,1,13,1,6,3,30,1,7,1,6,2,13,1,7,1,30,1,13,1,6,1,30,2,7,1,28,1,30,3,6,1,13,1,30,2,13,1,6,1,13,1,6,1,28,1,13,1,7,2,28,1,30,1,28,1,6,1,28,1,29,1,28,1,30,1,28,31,29,1,6,1,28,8,7,1,17,1,14,1,24,1,10,1,12,1,8,2,9,1,8,3,7,1,13,1,6,1,30,1,6,1,29,1,6,1,29,1,6,2,13,1,7,1,24,1,10,1,11,1,12,1,9,1,8,1,28,7,29,1,15,1,24,1,13,1,6,1,28,35,13,1,17,1,11,1,24,1,13,1,6,1,9,2,10,1,8,2,29,1,28,1,29,1,28,1,29,2,8,2,9,3,28,6,13,1,15,1,13,1,28,4,29,2,13,2,24,1,9,1,15,1,12,2,24,1,13,1,6,3,8,1,12,1,9,1,6,1,28,3,13,1,9,1,29,1,28,47,30,1,28,1,13,1,16,1,12,1,28,3,}, {28,12,30,1,28,28,6,1,11,1,10,1,8,1,9,1,10,1,13,1,7,1,6,1,28,1,6,1,28,4,30,1,6,1,10,1,12,1,8,1,28,5,29,1,13,1,9,1,8,1,13,1,6,1,28,10,29,1,8,1,9,1,6,1,28,42,30,1,28,1,6,2,8,1,7,1,8,1,24,2,13,1,29,1,28,1,6,1,8,2,12,1,17,1,24,1,13,1,30,2,13,1,7,1,13,2,6,1,24,1,29,1,30,1,28,5,6,1,13,2,12,1,29,1,28,6,24,1,8,1,10,2,8,3,13,1,8,1,13,2,8,1,13,1,9,1,15,1,12,1,24,1,7,1,6,2,30,1,6,2,28,34,29,1,28,1,30,2,6,1,24,1,12,1,13,1,29,1,28,4,29,1,24,3,9,1,8,1,13,1,6,2,13,1,30,1,6,1,30,1,29,2,30,1,28,4,30,3,6,1,13,1,7,1,8,1,9,1,12,1,17,3,6,1,28,15,7,1,29,1,6,2,13,1,29,2,6,1,30,2,28,1,30,1,28,7,13,2,9,3,11,1,9,1,8,1,10,1,16,1,11,2,9,3,10,1,16,1,9,1,8,1,16,1,11,3,8,1,16,2,11,2,16,1,9,2,11,1,16,2,11,1,8,1,9,2,10,1,9,1,13,1,11,2,9,1,8,1,17,1,9,1,13,2,9,2,11,2,8,1,11,1,8,1,9,3,13,1,9,2,8,1,11,1,8,2,16,1,9,5,8,1,13,1,7,1,8,1,11,1,10,1,13,2,8,1,11,1,13,1,9,3,11,1,9,1,6,1,9,1,16,1,11,1,16,1,9,1,16,2,9,1,11,1,16,2,11,2,16,1,9,1,11,1,9,1,16,1,9,2,16,1,11,1,16,1,9,3,11,1,16,1,11,1,16,2,9,1,30,1,6,2,28,2,6,3,13,1,6,2,13,4,9,2,10,1,8,1,6,1,28,1,6,1,28,1,30,1,28,1,29,1,28,1,30,1,28,2,30,1,28,1,6,2,28,2,29,1,28,1,6,3,30,1,6,1,7,1,9,2,8,1,9,5,11,1,17,1,16,1,17,2,11,3,9,1,11,1,16,1,11,5,16,1,11,2,16,1,11,1,9,1,11,1,9,8,10,2,9,2,8,1,10,1,8,1,11,1,9,1,8,1,9,1,13,1,9,1,8,1,11,1,8,1,9,1,11,1,9,4,10,1,11,1,9,1,10,1,11,1,9,1,11,1,9,1,13,1,11,1,10,1,9,2,8,1,12,1,9,2,8,1,13,1,9,1,13,1,9,2,13,1,9,2,13,1,9,3,11,1,9,2,16,1,11,1,9,1,17,1,9,1,11,2,9,4,11,1,8,1,9,1,7,1,12,1,24,1,9,1,13,1,9,1,6,1,7,2,29,1,6,1,29,1,28,17,6,1,9,2,13,1,11,1,8,1,9,1,13,4,29,1,6,1,30,1,6,1,30,1,29,1,28,10,30,2,28,2,30,1,28,2,30,1,28,1,13,1,8,1,9,2,12,1,8,1,24,1,30,1,29,1,28,80,30,1,28,50,6,1,28,1,29,1,28,13,30,1,28,2,30,1,28,6,6,1,29,1,6,1,8,1,13,2,8,1,13,2,11,1,8,1,13,1,8,1,13,1,8,2,13,2,8,1,13,1,8,1,13,1,9,1,13,3,9,2,13,1,9,1,8,3,13,3,7,1,8,1,13,2,29,1,6,1,28,1,7,1,13,1,28,1,29,1,28,1,29,1,30,3,29,1,30,2,28,9,30,1,6,5,7,1,30,1,8,1,7,1,6,1,13,2,8,1,13,1,8,1,6,1,13,6,8,1,13,2,8,1,13,1,7,1,6,2,13,1,6,3,28,1,30,1,29,1,28,2,30,1,6,1,28,1,13,1,17,16,16,1,17,7,12,1,10,1,17,1,11,1,12,1,17,1,16,1,17,11,16,5,11,1,9,1,11,1,9,2,11,6,9,1,11,1,9,2,11,1,16,3,11,2,16,1,11,1,9,2,16,4,11,1,16,1,11,1,16,1,9,1,11,1,9,1,13,1,11,1,9,1,10,1,11,2,8,1,9,1,13,1,30,1,13,1,11,1,9,1,11,3,16,1,11,1,16,6,17,1,16,1,17,3,16,1,17,9,16,1,17,3,16,2,17,1,6,1,28,2,30,2,6,1,30,5,6,5,30,2,6,1,30,1,6,1,30,3,29,1,28,1,30,5,6,2,30,2,6,5,30,4,6,2,30,4,6,1,30,3,28,2,30,1,28,3,30,4,28,1,30,2,13,1,6,1,28,1,30,5,28,1,30,1,28,1,30,1,6,1,28,1,6,1,30,6,29,1,30,13,28,1,30,2,6,2,30,2,6,2,29,1,30,1,6,1,30,2,29,1,30,5,6,2,30,1,29,1,28,1,30,1,28,1,30,4,28,1,6,2,30,2,29,1,6,2,30,3,6,2,30,1,6,1,30,1,13,1,6,1,28,1,13,1,6,1,30,2,13,1,30,5,6,1,28,1,6,1,29,1,30,1,6,1,30,1,28,1,30,4,7,1,6,2,30,1,6,1,30,1,13,1,6,1,30,1,6,1,28,1,30,3,6,2,13,2,6,1,13,2,6,2,13,1,6,1,13,2,6,4,30,1,6,2,29,1,6,5,13,1,30,1,6,9,30,3,28,1,30,1,6,1,30,2,28,1,30,1,6,1,29,1,6,1,29,1,6,1,28,1,13,1,29,2,6,4,13,1,6,1,30,1,29,1,30,1,6,3,30,1,29,1,28,1,30,4,6,1,29,1,30,1,29,1,30,2,29,1,28,1,30,1,28,1,30,2,29,1,30,1,28,1,30,1,29,1,6,9,29,1,6,3,30,1,6,1,30,1,6,2,13,1,7,1,13,2,6,1,30,1,13,1,6,6,13,1,30,2,13,1,29,1,6,2,30,1,13,1,6,3,30,2,6,2,30,1,6,1,30,1,6,2,7,1,13,1,8,1,13,2,6,3,30,3,13,1,30,1,29,1,6,1,30,3,6,1,30,1,6,3,30,7,29,3,6,2,28,1,29,1,30,1,6,1,30,4,28,1,6,1,28,1,6,4,30,1,6,1,30,1,28,2,29,1,30,4,28,1,6,2,30,8,29,1,28,2,30,1,13,2,7,2,8,2,16,1,9,2,11,1,17,1,10,1,11,3,16,1,9,3,16,1,12,1,9,1,6,1,9,1,8,1,9,1,8,1,24,1,9,1,8,1,10,1,9,1,12,1,17,1,13,1,8,1,9,3,24,1,8,1,29,1,8,2,17,1,9,2,6,1,28,1,6,1,26,1,25,1,13,1,9,1,12,1,10,1,8,1,7,1,8,1,29,1,7,2,8,1,9,1,17,1,10,1,17,9,12,1,17,1,12,1,10,1,6,1,7,1,13,2,7,5,8,1,13,1,10,1,17,1,10,1,9,1,13,2,8,1,7,1,8,2,13,1,7,2,13,1,8,1,24,1,13,1,24,1,8,1,13,1,8,1,24,1,9,5,10,1,9,1,11,1,17,1,9,1,17,1,11,1,9,1,11,3,9,1,12,3,9,1,11,1,10,1,12,1,11,2,9,4,11,2,10,1,17,1,11,1,12,1,17,3,10,1,8,2,7,1,25,1,26,1,6,1,26,1,27,1,30,1,25,1,29,1,28,1,30,1,28,1,30,1,28,1,29,1,30,1,28,5,30,1,7,2,30,1,29,2,6,3,26,1,25,1,8,2,26,1,24,1,25,3,8,1,6,1,25,2,6,1,8,1,24,1,8,1,24,2,12,1,8,2,24,3,12,2,10,1,17,1,12,2,24,1,17,1,8,1,12,1,10,1,17,1,12,1,10,1,24,2,12,1,8,1,24,2,8,1,25,1,8,2,24,1,8,1,10,1,24,2,9,1,12,1,24,1,10,2,17,1,24,1,17,1,12,2,17,1,10,2,12,1,8,1,6,1,29,1,28,2,6,1,28,1,30,4,28,3,30,1,28,2,6,1,29,1,6,2,25,1,24,3,12,1,9,1,24,2,13,1,7,2,13,1,7,1,13,1,30,1,29,1,30,1,29,1,30,1,28,1,30,1,28,2,30,3,28,1,30,3,6,1,30,2,8,1,11,1,12,1,9,1,7,1,8,1,6,1,9,1,8,1,13,1,8,1,24,1,7,1,8,1,24,2,13,1,24,1,13,1,12,1,24,1,29,1,6,1,24,1,8,1,25,1,24,1,8,3,25,1,6,1,24,1,25,1,7,2,24,2,7,1,6,1,8,3,24,1,13,2,7,1,24,1,13,1,24,1,8,2,13,1,8,1,24,1,13,1,7,2,13,1,8,2,24,1,13,2,8,2,12,1,8,1,10,1,24,1,8,1,10,1,13,1,24,1,6,1,13,1,8,1,24,2,10,1,24,2,17,1,9,1,17,2,8,1,24,1,8,1,24,1,13,1,8,1,24,2,10,1,24,1,10,1,17,1,10,1,8,1,24,1,7,1,8,1,24,2,7,1,10,1,24,1,8,1,24,1,12,1,24,1,12,1,10,1,17,1,12,1,17,1,10,1,17,2,12,3,17,18,12,1,17,2,8,1,7,1,13,1,28,47,13,1,6,1,7,1,28,1,13,4,10,1,8,1,13,3,8,2,9,1,8,1,9,1,24,1,13,1,9,1,17,4,16,1,11,1,9,4,16,1,11,1,9,2,16,1,13,2,9,2,11,1,8,1,16,1,9,2,13,3,9,1,8,2,13,1,8,1,10,1,9,1,13,1,10,1,9,1,13,1,30,1,6,2,13,1,9,2,10,1,9,1,13,1,8,1,28,1,30,1,28,32,6,1,13,2,9,1,7,1,6,2,7,1,13,5,30,1,13,1,30,1,6,1,13,1,6,1,30,1,6,1,29,1,13,1,7,1,13,3,28,1,6,1,29,1,6,1,8,1,6,1,13,1,30,1,6,2,13,1,6,1,13,4,6,2,7,1,6,1,13,1,6,1,30,1,13,2,7,1,13,2,6,1,9,1,8,1,9,1,13,2,30,1,6,1,13,2,30,1,7,1,13,1,28,1,30,3,13,1,6,4,13,1,28,1,6,2,28,1,13,1,30,1,6,1,13,2,30,1,6,2,30,2,28,1,6,1,13,1,6,1,29,2,13,3,6,2,7,1,29,1,13,1,6,2,29,1,30,1,6,1,30,1,28,31,13,1,28,9,6,1,16,1,14,1,15,1,12,1,9,1,24,1,11,1,9,1,10,1,8,1,6,3,28,2,6,1,30,1,6,2,13,2,7,2,9,1,12,1,9,1,11,1,9,1,8,1,28,8,15,1,24,1,6,2,30,1,28,33,29,1,12,1,17,1,10,1,8,1,13,1,6,1,12,2,17,1,13,1,8,1,28,1,29,1,30,3,6,1,13,1,9,1,8,1,10,1,13,1,29,1,28,4,30,1,7,1,11,1,13,1,28,4,6,1,30,1,13,1,9,2,14,1,10,1,15,1,11,1,9,1,8,1,29,2,6,1,9,1,10,1,9,1,13,1,28,3,6,1,9,1,29,1,28,49,7,1,12,1,11,1,30,1,28,2,}, {28,39,29,1,30,1,24,1,11,1,10,1,17,1,9,2,8,1,7,1,6,1,28,2,30,1,6,1,28,3,30,1,10,1,12,1,6,1,28,5,6,1,13,1,8,1,9,1,8,1,13,1,30,1,28,9,7,1,24,1,8,1,6,1,28,44,6,1,30,1,6,1,13,1,9,1,24,2,13,1,28,1,29,1,6,1,7,1,8,1,17,1,14,1,13,1,6,1,30,2,10,1,6,1,7,1,13,1,7,2,30,1,28,7,29,1,8,1,13,2,30,1,28,5,8,1,12,3,8,1,6,1,8,1,9,1,24,1,13,2,24,2,9,1,14,1,15,1,24,1,13,1,6,1,30,1,13,1,6,1,30,2,28,33,30,1,29,1,6,1,28,1,13,1,12,1,10,1,13,1,30,1,28,4,29,1,8,1,15,1,10,1,15,1,24,1,9,1,24,1,7,1,6,1,28,1,6,1,29,2,28,2,30,1,28,2,29,1,28,1,29,1,6,2,13,1,7,1,8,1,10,1,12,1,17,3,13,1,30,1,28,14,29,1,30,2,6,1,30,2,29,1,28,1,30,1,28,2,29,1,28,7,8,2,9,1,8,1,9,2,10,1,17,1,11,1,9,1,16,1,10,1,11,1,9,1,11,1,16,1,11,1,9,1,16,1,11,2,9,1,8,1,9,1,10,1,16,1,9,1,16,2,11,1,9,2,13,1,9,1,13,1,9,2,13,1,12,1,11,1,8,1,16,1,11,1,9,3,16,1,13,1,9,2,11,1,9,2,8,1,9,1,13,1,9,4,10,1,13,1,7,1,11,1,16,1,8,1,16,1,10,1,9,2,11,1,9,1,8,1,13,3,9,2,13,1,9,1,11,1,8,1,9,1,10,2,9,1,8,1,10,1,17,1,16,1,17,1,9,1,17,1,16,1,9,1,16,1,10,1,16,3,11,1,8,1,16,1,9,2,16,1,11,1,17,1,16,1,11,2,16,2,11,1,16,1,11,3,9,1,11,1,9,1,30,1,6,1,13,1,30,1,6,1,29,1,6,2,13,1,6,1,28,1,6,2,8,1,13,1,9,1,8,1,10,1,8,2,28,1,30,3,28,1,6,1,28,4,30,1,28,2,6,1,29,1,28,2,6,1,29,1,30,2,29,1,13,1,6,1,7,1,17,1,9,4,11,1,9,1,11,1,16,2,17,2,11,6,9,1,16,2,11,1,16,1,11,1,16,1,10,1,9,6,13,1,9,4,8,1,9,1,8,1,9,2,8,1,11,1,9,1,11,1,8,1,9,9,11,1,10,1,9,1,8,1,11,1,9,1,10,1,9,1,11,1,10,1,9,2,10,1,8,1,9,4,11,1,9,5,10,1,13,1,17,1,8,2,9,2,13,1,11,1,8,1,9,1,10,1,11,2,9,1,11,1,9,1,11,1,9,1,13,1,10,1,11,1,8,1,9,2,13,1,8,1,13,1,8,1,24,2,8,1,13,1,24,1,7,1,6,2,30,2,6,1,28,16,12,1,8,1,9,1,13,1,11,1,8,2,13,2,8,1,24,1,13,1,6,1,7,1,6,1,30,1,28,8,30,1,28,4,30,1,28,2,30,3,6,2,24,1,13,1,9,1,17,1,8,1,7,2,6,1,28,98,30,1,28,23,29,1,28,8,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,8,6,1,28,2,30,1,28,5,6,1,30,1,13,1,8,1,6,1,13,1,8,1,9,2,13,1,11,1,10,1,9,4,13,1,7,1,9,2,13,1,9,1,13,1,9,1,8,1,13,1,8,1,13,1,8,3,9,1,6,1,8,2,13,1,8,1,6,2,7,1,13,1,6,1,13,1,30,1,8,1,28,1,29,1,6,1,28,1,6,2,30,1,29,1,28,2,29,2,28,4,30,1,28,1,29,1,6,1,28,1,29,1,6,1,13,1,6,3,7,2,8,1,6,1,13,8,6,1,8,1,13,2,7,2,13,3,6,2,7,1,6,3,28,5,30,2,29,1,28,1,13,1,17,42,16,2,11,1,17,1,11,2,9,1,11,2,9,5,13,1,9,1,11,1,9,3,11,5,16,3,11,4,16,5,11,1,16,1,9,2,11,1,9,1,11,1,17,1,11,1,9,1,11,1,9,2,30,1,6,1,9,1,11,2,16,3,11,1,10,1,16,3,11,1,9,1,16,4,11,2,16,6,17,4,16,3,17,1,16,1,9,1,28,3,30,3,6,1,28,1,30,2,29,1,6,2,29,1,6,1,30,3,6,1,30,2,29,1,30,3,29,1,30,1,29,2,6,1,30,1,28,1,30,1,6,1,30,1,29,1,30,2,6,1,30,2,6,2,30,1,6,1,30,1,6,1,29,1,30,1,6,1,30,4,28,1,30,2,28,1,30,1,28,2,30,1,28,1,6,1,30,3,13,2,28,1,30,1,28,2,30,6,29,1,30,2,28,1,6,1,30,3,6,1,30,1,6,1,30,5,6,1,28,1,30,1,28,1,6,1,30,6,6,1,29,1,30,1,6,1,30,1,28,1,30,2,29,1,30,1,6,2,28,2,30,1,6,1,30,1,28,1,30,3,28,1,30,1,28,1,30,5,28,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,6,2,30,1,6,2,30,1,13,1,30,1,6,1,30,1,6,2,30,2,7,1,30,1,6,3,30,1,6,1,30,1,6,2,30,1,6,2,30,1,29,1,6,2,30,1,6,1,30,3,6,1,28,1,30,3,6,3,30,3,6,3,13,1,6,2,30,1,6,2,28,1,6,1,30,2,28,1,30,1,6,1,28,1,30,2,7,1,30,5,29,1,30,1,6,2,7,1,6,3,30,1,29,1,30,1,6,1,28,1,30,3,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,3,29,1,6,3,30,3,6,1,30,3,6,1,30,1,6,1,28,1,30,4,6,1,28,1,6,1,30,2,6,1,30,1,29,3,30,1,29,1,6,4,30,2,7,1,30,1,6,3,30,1,6,2,7,1,30,2,6,1,30,2,6,1,13,1,28,1,6,1,30,1,29,1,7,1,6,1,30,1,7,1,30,1,6,4,30,1,28,1,30,1,6,1,30,1,13,1,30,1,6,2,30,3,6,2,30,2,6,3,13,2,6,1,13,1,7,1,30,3,6,1,28,1,7,1,6,1,28,1,30,1,28,1,6,3,30,1,6,2,28,1,7,1,30,1,6,1,30,2,6,1,30,2,6,1,30,3,29,1,28,3,30,3,28,1,30,1,28,2,29,1,28,1,6,1,29,1,30,3,28,1,30,3,28,1,30,1,28,1,6,1,30,1,28,2,6,1,30,1,28,1,30,3,6,1,30,2,28,3,13,2,9,1,7,1,8,1,6,1,12,1,8,1,9,1,11,1,16,1,11,1,12,1,11,1,16,2,12,1,8,1,9,2,16,1,9,1,13,1,9,1,13,3,9,2,10,1,11,1,8,1,9,1,12,1,8,1,9,1,24,1,8,1,9,1,10,1,7,1,6,1,13,2,12,3,13,1,29,1,26,1,29,1,25,1,13,1,8,2,13,1,7,1,8,1,7,1,6,1,8,1,13,2,10,1,17,1,12,1,17,8,12,2,17,2,10,2,8,2,13,1,24,1,7,1,6,2,30,1,7,1,6,1,10,1,12,1,24,1,9,1,8,1,9,1,13,1,8,2,9,1,8,3,24,1,13,1,10,1,8,3,13,1,8,2,24,1,8,1,24,1,8,1,10,3,9,1,10,1,9,3,10,1,9,2,12,1,10,1,9,1,10,1,12,1,10,1,17,1,11,1,12,2,9,1,10,1,9,1,10,1,9,1,12,2,17,1,24,1,12,1,17,2,9,1,10,1,8,3,6,1,27,1,26,1,6,1,30,1,29,1,27,1,25,1,28,2,30,1,28,5,27,1,28,1,29,1,28,1,30,1,28,2,29,1,6,1,30,1,29,1,6,2,8,1,29,1,26,1,27,1,6,1,25,1,26,1,29,1,25,1,6,1,25,1,24,1,7,1,24,1,8,2,24,1,13,1,24,1,12,1,24,1,8,1,12,1,24,1,8,1,10,1,12,2,24,2,17,1,24,1,12,3,24,2,17,1,12,1,10,1,24,1,8,1,12,1,10,1,8,1,24,5,10,1,24,1,13,1,24,1,8,1,12,1,10,1,12,1,10,1,12,1,10,1,17,1,12,2,17,1,10,1,17,2,8,1,24,1,28,2,30,1,28,2,29,2,30,2,28,1,29,2,28,2,29,1,7,1,29,1,6,1,13,1,8,2,24,2,12,1,24,1,13,2,7,1,6,2,7,1,30,1,6,2,30,1,28,3,30,1,28,2,30,2,6,1,30,2,28,2,30,1,28,1,30,2,28,1,6,1,30,1,8,1,17,1,8,1,13,4,24,3,13,1,8,1,6,1,24,2,8,2,28,1,24,2,8,1,6,1,8,1,26,1,8,1,24,2,6,1,8,2,24,3,8,2,12,1,8,1,24,5,8,1,12,1,8,1,24,2,8,1,6,1,8,1,24,1,8,1,10,1,13,1,8,1,6,1,30,1,24,1,13,1,8,1,6,1,8,3,12,1,6,1,8,2,13,3,7,1,8,4,24,3,12,2,9,1,8,2,24,1,10,1,24,1,8,1,24,1,8,1,12,1,10,1,12,1,10,1,12,3,8,1,24,3,8,1,24,3,10,1,8,1,24,1,17,1,8,1,10,1,12,2,9,1,12,4,17,3,12,1,17,15,12,1,17,4,9,1,13,2,28,46,30,1,29,1,7,1,8,1,6,1,13,1,7,1,6,1,13,1,8,1,6,1,9,1,7,1,13,1,9,1,8,1,10,3,11,1,17,1,9,1,17,6,16,1,9,1,11,1,8,1,11,1,9,1,13,1,9,2,8,1,9,1,10,1,9,1,11,1,16,1,9,1,10,1,9,3,13,2,9,4,13,1,8,1,11,2,13,1,7,1,30,1,6,1,7,1,13,1,16,1,9,3,8,1,13,1,6,1,30,1,28,32,6,1,13,2,9,1,6,1,13,5,8,1,9,1,13,2,8,1,6,1,13,1,9,1,6,2,13,1,6,1,13,1,30,1,9,1,13,1,30,1,13,1,30,1,6,2,13,1,28,1,13,1,6,1,13,1,6,1,13,1,8,1,6,3,8,1,13,2,28,1,9,1,13,3,6,1,13,1,8,1,6,1,8,1,6,1,13,1,30,1,9,1,13,2,8,1,13,1,30,1,13,1,30,1,13,1,30,1,6,1,28,1,6,1,28,1,6,1,13,1,6,1,7,1,6,1,28,1,6,1,30,1,6,1,13,1,30,1,6,1,30,1,29,1,28,5,13,1,6,1,28,1,6,1,7,1,30,2,29,1,13,1,6,2,30,1,6,1,30,2,13,1,28,2,6,2,28,31,30,1,13,1,6,1,30,1,29,1,28,2,30,1,28,3,7,1,14,1,11,1,14,1,10,2,8,2,9,1,8,1,13,1,28,1,7,1,30,1,28,2,30,1,6,2,7,1,24,2,8,1,7,1,9,3,12,1,9,1,6,1,28,7,6,1,10,1,24,1,13,1,28,36,9,1,17,1,8,1,9,1,13,1,8,1,11,1,17,1,15,1,24,1,8,1,6,1,28,2,29,1,6,3,24,1,9,1,8,1,24,1,6,1,28,5,8,1,12,1,7,1,30,1,28,3,6,1,29,1,8,1,24,1,15,1,10,2,14,1,9,1,8,1,30,1,13,1,30,1,7,1,12,1,10,1,8,1,29,1,6,1,28,2,8,2,6,1,28,49,6,1,17,1,24,1,6,1,28,2,}, {28,39,29,1,30,1,13,1,17,1,10,2,9,1,10,1,8,1,6,1,29,1,28,1,29,1,28,1,30,1,28,2,30,1,28,1,12,2,30,1,28,6,9,1,13,1,10,1,9,1,29,1,28,11,9,1,24,1,30,1,28,23,30,1,28,5,30,1,28,11,30,1,28,1,29,1,6,3,29,1,24,1,12,1,9,1,13,1,30,2,7,1,8,2,12,1,17,1,8,1,28,1,13,1,6,1,30,1,13,1,24,1,8,1,7,1,13,1,30,1,28,7,7,2,13,1,29,1,28,6,7,1,11,1,9,3,8,1,13,1,8,3,13,1,6,1,8,1,9,1,12,1,15,1,13,2,8,1,6,2,29,1,30,1,28,35,30,1,28,2,6,1,24,1,8,1,24,1,30,1,28,4,29,1,8,3,24,2,8,2,30,1,6,1,29,1,30,2,29,1,6,2,30,1,28,1,30,2,29,1,7,2,6,1,30,1,7,1,13,1,12,1,17,4,6,1,28,16,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,1,28,10,9,1,8,1,9,1,13,1,11,1,10,1,9,2,16,1,11,3,9,1,11,2,9,1,16,1,11,1,17,1,16,1,9,1,10,1,16,1,9,2,17,1,12,1,17,1,16,1,17,1,9,1,17,1,9,4,11,1,8,1,11,1,9,3,16,1,9,1,10,2,11,1,13,1,16,1,9,6,11,1,8,1,11,1,8,1,11,1,8,1,9,1,11,1,9,1,13,1,9,3,8,2,11,1,13,1,9,1,13,1,11,1,13,1,9,1,11,1,13,1,9,1,13,1,8,1,13,2,9,4,11,1,9,1,16,1,9,1,16,2,9,1,16,1,11,2,17,1,16,1,11,1,16,1,11,1,9,1,10,1,11,3,9,1,11,1,16,2,9,3,11,1,16,1,11,1,10,1,16,1,8,1,13,3,6,1,30,2,29,1,6,2,13,1,6,3,13,1,8,2,9,1,10,1,9,1,6,1,28,1,30,1,6,1,30,1,29,1,28,2,30,1,6,2,30,1,6,1,30,1,28,2,29,1,30,1,29,1,28,1,30,1,6,1,7,1,30,1,13,1,7,1,11,1,7,1,9,1,11,1,8,1,9,2,13,1,11,2,17,2,9,1,11,2,16,3,11,1,17,1,11,4,16,1,11,2,9,1,8,1,16,1,9,4,11,2,9,1,11,1,8,1,9,1,10,1,13,1,10,1,8,1,9,1,11,1,8,1,17,1,13,1,9,4,11,1,9,2,10,2,9,2,11,1,9,1,11,1,9,1,11,1,9,2,10,1,9,2,10,1,9,1,11,1,9,1,11,1,9,2,8,1,9,3,10,1,13,1,9,4,13,1,9,1,11,2,9,2,10,1,12,1,9,1,8,1,9,1,11,1,8,1,10,1,16,1,9,2,8,4,9,1,8,2,9,1,7,1,8,1,13,2,30,1,6,1,28,18,11,1,24,2,8,2,13,2,8,1,13,1,24,1,6,2,30,2,7,1,30,1,7,1,28,1,30,1,29,1,28,9,30,1,28,1,6,1,28,1,6,3,7,1,6,1,29,1,24,1,17,1,24,1,13,2,24,1,30,1,6,1,30,1,28,18,30,1,28,82,30,1,28,15,30,1,28,12,6,1,28,1,30,1,28,2,29,1,30,3,28,4,30,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,13,1,6,1,7,1,9,1,13,1,8,1,13,1,9,2,13,1,8,1,10,1,8,1,9,1,13,1,8,2,13,1,9,1,10,1,7,1,9,1,8,1,13,1,9,1,8,6,7,1,8,1,7,1,13,1,7,1,6,1,7,1,6,2,8,1,6,1,7,1,6,1,7,1,29,2,6,1,28,1,30,2,28,1,6,1,28,2,30,1,28,1,29,1,28,2,30,1,28,1,30,1,28,2,6,1,28,2,13,1,6,2,7,2,13,1,6,1,13,2,8,1,29,1,13,1,6,1,13,3,6,1,13,3,8,1,7,2,8,1,13,1,8,1,13,1,6,1,29,1,7,1,28,2,30,1,28,7,9,1,17,33,16,1,17,1,16,1,17,6,16,3,11,1,16,1,11,1,16,1,9,1,16,1,11,1,9,2,11,2,13,1,11,1,9,5,16,1,11,2,16,2,9,1,16,1,9,1,11,1,16,3,11,2,16,1,9,1,11,1,17,1,8,1,11,3,16,1,11,2,9,1,8,1,11,1,9,1,13,1,28,1,6,1,11,3,16,1,11,1,16,1,9,1,11,2,16,1,11,1,17,1,16,2,13,1,9,1,11,3,16,1,17,1,16,2,17,3,16,1,17,2,16,3,11,1,28,3,30,9,6,1,30,1,6,2,30,4,28,1,30,1,28,2,29,1,30,1,28,1,30,1,28,1,30,2,29,1,30,5,6,1,28,1,6,1,30,2,6,2,30,2,28,1,6,1,30,1,13,1,6,1,30,1,6,1,29,1,7,1,28,1,30,1,28,2,29,1,28,2,30,2,28,1,30,1,28,1,30,2,13,1,6,1,30,2,29,1,28,1,30,16,29,1,30,7,29,1,30,2,6,1,30,9,13,1,30,4,6,2,28,1,30,2,6,1,30,7,28,1,30,1,29,1,6,2,30,1,29,1,30,2,6,1,30,1,7,1,6,1,30,3,6,1,13,2,30,2,6,1,30,1,6,1,30,2,6,4,30,2,6,1,13,1,6,3,30,1,6,1,28,1,30,4,6,2,30,1,29,1,30,3,28,1,30,1,6,1,30,1,6,1,30,5,6,5,7,1,6,2,29,1,30,1,6,1,30,1,13,1,30,1,29,1,6,2,30,1,6,1,30,6,29,1,6,1,30,1,6,4,13,1,6,2,30,2,28,1,30,1,6,3,30,3,29,1,6,5,29,2,6,1,30,2,6,3,29,2,6,4,29,1,6,1,30,5,6,1,28,1,30,1,6,3,30,2,6,2,30,3,29,1,6,1,28,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,13,1,6,2,13,1,6,2,13,2,6,1,30,1,6,3,30,6,6,1,30,1,29,1,30,2,6,1,30,3,6,1,29,1,28,1,6,2,30,1,6,1,30,1,6,2,30,3,6,1,30,1,13,1,30,1,6,2,13,2,30,1,13,1,30,1,29,1,30,2,6,3,30,1,6,1,30,1,6,3,30,1,29,1,6,2,30,1,6,1,30,1,29,1,28,1,30,1,28,3,30,7,28,1,30,5,28,1,30,1,6,1,30,2,28,1,6,1,30,3,28,1,30,3,28,1,30,1,28,1,30,4,28,1,30,5,28,4,6,2,8,1,6,1,13,2,11,1,8,1,11,1,9,1,11,1,16,1,11,1,17,1,11,1,10,1,16,1,9,3,11,1,9,2,8,1,13,1,30,1,13,1,10,1,9,1,10,1,8,2,11,1,12,1,8,1,13,2,9,1,12,1,9,1,29,1,6,1,8,1,6,1,8,1,12,2,6,3,25,1,8,1,7,1,29,1,6,1,13,1,7,1,6,3,7,1,24,1,9,1,17,13,11,1,17,3,12,1,9,1,8,1,13,2,8,1,7,1,13,1,7,1,8,1,24,1,12,1,9,2,17,1,8,1,12,1,17,2,24,1,17,1,12,1,9,1,12,1,10,1,12,1,10,1,9,1,24,2,10,2,12,1,10,1,12,2,11,1,17,1,12,1,17,25,12,1,17,2,12,1,24,1,8,1,24,1,6,2,29,2,6,1,25,1,27,2,29,1,25,1,6,1,28,3,30,1,28,3,30,1,28,1,30,1,28,3,29,2,28,1,6,1,29,1,30,1,7,1,6,3,25,3,6,1,8,2,25,1,8,3,24,1,25,1,7,1,8,1,12,1,24,1,8,1,24,1,8,1,12,3,17,1,12,1,10,1,12,4,24,1,12,3,17,1,24,1,10,1,24,1,10,1,12,2,24,4,8,1,24,1,8,3,10,1,8,1,10,1,8,1,12,1,10,1,24,1,12,2,17,1,10,1,17,1,12,2,10,1,12,1,9,1,24,1,6,1,30,1,28,4,29,1,30,1,29,1,6,2,28,2,30,1,28,1,29,1,13,4,8,2,24,1,6,1,28,4,30,2,28,2,30,2,28,1,29,1,30,1,28,1,30,3,28,3,30,4,28,2,30,1,28,1,30,2,6,1,29,1,6,1,9,3,24,1,8,1,24,1,6,1,7,1,8,1,7,1,8,1,6,1,8,1,25,1,24,1,25,1,24,1,25,2,26,1,8,1,25,1,8,1,25,2,8,1,25,1,24,1,25,1,24,1,6,1,24,1,7,1,24,2,7,1,24,1,8,2,24,2,8,1,24,1,13,1,24,1,8,1,6,1,28,1,6,1,24,1,8,1,13,1,10,1,8,1,7,1,24,1,8,1,6,1,13,1,8,1,7,1,24,1,9,1,7,1,12,1,13,1,8,1,13,1,8,2,7,1,8,1,24,1,7,1,8,1,12,1,9,1,13,2,8,1,24,2,12,1,8,2,24,1,8,1,24,1,13,1,8,1,12,2,24,4,10,1,12,1,8,1,10,1,12,1,10,1,24,3,12,1,10,1,12,1,24,1,12,1,24,2,12,1,17,1,9,1,10,1,17,1,12,2,17,21,12,1,11,1,9,2,13,1,30,1,28,46,6,1,13,1,30,1,13,1,7,2,13,2,9,1,13,2,6,1,9,4,13,1,10,1,12,1,10,1,17,6,16,1,11,2,10,1,11,1,9,1,13,1,9,1,10,1,13,1,9,1,8,1,9,4,11,1,8,2,13,1,6,1,8,2,13,2,9,2,13,1,11,1,9,1,13,1,7,1,6,2,28,1,13,1,16,1,9,1,11,1,8,2,13,1,29,1,30,1,28,32,13,3,9,1,13,4,6,1,8,1,6,1,13,1,7,1,13,1,8,1,13,3,6,1,13,1,6,1,13,1,6,1,9,1,13,1,6,1,13,1,6,1,13,1,9,1,6,1,30,1,6,1,13,1,7,1,13,1,6,1,13,6,6,1,13,2,9,1,7,1,13,1,9,1,8,1,9,2,13,4,9,1,13,2,30,1,13,1,6,1,13,1,7,1,6,1,8,1,13,1,6,1,13,1,30,1,28,1,6,1,30,1,13,1,6,1,30,1,13,1,30,1,6,1,28,1,6,2,30,1,13,1,6,2,9,1,13,1,28,1,6,1,7,1,30,1,6,2,28,1,29,1,13,4,28,1,30,2,28,1,30,1,13,1,29,1,6,1,13,1,30,2,28,31,7,1,6,1,30,1,28,1,30,1,28,5,8,1,17,1,15,2,12,1,8,1,10,1,9,1,13,1,24,1,13,1,29,1,28,1,30,3,6,1,28,1,6,1,13,2,7,1,13,1,6,1,12,1,9,1,12,1,10,1,24,1,6,1,28,7,6,1,12,1,9,1,7,1,29,1,28,34,30,1,15,1,17,1,16,1,13,2,24,1,12,1,17,2,24,2,6,2,28,1,29,2,6,1,8,1,10,1,12,1,8,2,30,1,28,4,6,2,24,1,8,1,28,3,30,1,6,1,30,1,29,1,8,1,10,2,12,2,10,1,9,1,6,1,30,1,6,1,13,1,9,1,11,1,12,1,30,1,28,1,30,1,28,1,9,1,10,1,30,1,28,49,9,1,11,1,13,2,28,2,}, {28,39,13,1,8,1,9,1,17,2,9,3,24,1,28,1,29,1,30,1,6,1,28,6,10,1,17,1,6,1,28,6,9,2,8,2,6,1,28,11,12,1,13,1,29,1,28,22,30,1,28,4,30,1,28,12,30,1,28,1,30,1,28,1,29,2,7,1,6,1,13,1,9,1,15,1,9,1,30,1,28,1,13,1,24,2,10,1,15,1,8,1,29,1,6,1,30,1,13,2,24,1,6,1,13,1,7,1,28,8,7,1,29,1,7,1,6,1,28,6,8,1,9,1,24,1,12,1,13,2,8,4,7,2,6,1,11,1,8,1,10,1,11,1,8,1,30,1,28,1,6,1,29,2,28,36,6,1,13,1,6,1,9,1,14,1,9,1,30,1,28,4,30,1,24,1,12,1,9,1,24,1,8,2,24,1,28,1,6,1,29,1,6,1,29,1,6,1,30,1,6,1,30,2,28,1,6,1,30,1,29,1,6,1,29,1,6,1,13,1,8,1,11,1,17,4,13,1,30,1,28,13,30,1,28,1,30,1,28,2,6,1,30,2,29,1,30,1,6,1,28,1,30,1,28,6,30,1,13,1,9,2,8,2,10,1,12,2,11,2,17,1,11,2,16,2,9,1,16,4,17,2,9,1,11,1,17,3,11,1,12,1,9,1,17,1,8,2,9,2,13,1,9,1,8,1,9,1,8,1,9,2,16,1,8,1,10,1,9,1,16,1,13,1,9,5,10,1,9,2,8,1,9,1,8,1,9,1,8,1,10,1,16,1,9,1,11,1,9,1,8,2,9,1,12,1,9,1,8,1,13,1,9,3,8,1,9,1,10,1,8,1,9,2,16,1,11,1,8,1,13,1,9,1,11,3,9,1,17,1,16,5,11,1,9,2,16,1,9,1,16,3,10,1,16,1,9,1,11,4,9,1,11,1,9,1,16,3,9,3,6,1,13,1,6,2,30,1,29,1,28,1,13,1,6,1,13,1,6,1,13,3,8,1,10,1,9,3,6,1,28,1,6,1,28,2,30,3,6,2,28,1,6,2,28,1,13,1,6,2,7,1,13,1,30,1,28,1,30,1,6,3,13,1,9,1,13,1,10,1,13,1,8,1,9,1,13,1,9,2,11,1,9,1,17,1,11,2,16,1,11,3,9,1,10,1,16,4,11,1,16,1,11,1,9,1,16,1,9,1,10,1,9,4,13,1,9,1,8,1,11,1,9,2,8,1,11,1,9,1,11,2,8,1,9,2,10,1,9,1,11,1,8,1,9,5,10,1,9,2,8,1,10,1,11,1,9,1,11,1,9,2,11,1,9,1,11,1,9,1,13,1,9,1,11,1,9,3,11,2,13,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,11,1,9,1,11,1,9,2,11,1,9,5,8,1,11,1,9,2,13,1,9,1,13,1,9,1,13,1,17,1,13,1,24,2,8,2,24,1,6,1,7,1,30,3,28,1,30,1,28,13,30,1,9,1,24,1,8,2,13,2,8,1,13,3,7,2,13,1,28,1,30,4,28,1,30,2,28,1,30,2,28,2,30,1,28,2,30,1,29,1,13,1,29,2,13,1,6,1,13,1,8,1,7,1,13,1,24,1,8,1,24,1,6,1,7,1,28,1,7,1,6,1,28,14,30,1,28,113,30,1,28,1,29,1,28,1,30,1,6,1,28,1,6,1,30,1,28,3,6,1,28,1,29,1,7,1,28,2,29,2,6,1,28,1,7,1,6,3,13,2,8,2,10,1,9,1,8,4,11,1,12,1,13,1,8,1,11,1,8,1,10,1,7,1,8,1,13,3,8,1,13,1,8,2,13,2,8,1,24,1,13,3,7,1,13,1,7,1,6,2,7,1,29,1,7,1,28,1,6,1,30,1,6,1,28,1,30,2,28,2,30,2,28,1,29,1,30,1,29,1,28,5,30,2,28,1,30,1,28,1,29,1,30,2,6,2,13,1,6,1,7,1,13,1,30,1,7,1,13,1,29,1,8,1,13,1,7,1,13,1,8,2,13,3,24,1,13,1,6,1,7,1,13,1,7,1,13,1,6,1,28,1,30,2,28,8,9,1,17,31,9,1,17,4,11,1,17,6,16,3,11,1,16,1,9,1,11,1,9,1,16,1,11,1,9,2,11,1,9,1,11,1,9,2,11,1,9,2,16,1,11,1,16,3,11,1,16,1,11,1,16,1,11,1,16,1,11,3,16,2,17,1,16,1,11,2,9,1,16,1,11,2,16,1,9,3,13,2,28,2,13,2,9,1,11,1,16,2,10,1,16,1,11,3,16,1,10,1,11,1,13,1,9,2,16,5,17,1,16,1,17,5,16,3,13,1,28,2,6,2,28,1,30,2,28,1,30,3,7,1,30,2,6,2,30,1,28,1,6,1,30,4,28,2,6,1,28,1,6,2,30,2,6,1,28,1,30,3,6,1,29,1,30,1,6,4,30,1,6,4,7,1,6,2,13,1,6,2,29,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,13,1,6,1,30,1,28,2,29,1,30,5,6,1,30,1,29,1,30,2,28,1,30,1,6,1,30,15,6,1,29,1,30,4,6,1,29,1,30,1,29,1,28,1,30,1,6,2,30,1,6,3,30,3,28,1,30,1,28,1,6,1,30,2,28,1,30,2,6,1,30,2,6,1,29,1,30,2,13,1,28,1,30,2,6,1,29,1,6,2,13,1,28,1,6,1,29,1,30,1,6,1,28,1,30,1,6,2,30,2,6,2,30,1,6,2,30,1,6,1,28,1,6,1,30,1,6,1,28,2,30,2,28,1,30,2,6,1,30,2,6,2,30,1,29,1,6,1,28,1,6,1,30,1,6,1,30,2,28,1,30,1,6,1,13,1,30,1,13,1,6,2,7,1,6,3,30,3,28,1,30,4,29,1,30,4,28,2,6,1,30,1,6,1,29,1,6,3,28,1,29,1,30,1,6,1,30,2,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,30,3,29,3,6,1,7,1,6,2,7,1,30,2,6,1,30,2,6,2,30,4,6,1,30,2,6,1,13,1,6,2,30,2,6,1,28,1,30,1,6,3,30,1,6,3,30,1,28,1,13,1,6,4,29,1,6,1,30,2,28,1,6,3,30,2,6,1,28,1,30,1,6,1,30,2,6,2,29,1,30,4,28,1,13,1,30,1,29,1,30,1,6,1,30,4,6,2,30,3,13,1,30,1,6,1,8,1,13,2,6,2,30,1,6,1,29,1,30,1,6,3,30,1,6,3,28,1,30,4,6,1,28,1,6,2,28,1,29,1,28,1,29,1,30,1,6,1,30,1,28,1,29,1,30,1,28,1,30,1,6,1,30,2,28,1,30,2,6,1,30,3,6,1,30,1,7,1,30,3,29,1,30,1,28,3,30,2,28,1,30,3,6,1,30,2,28,1,6,1,28,1,30,1,28,5,13,1,8,1,9,1,13,2,8,1,10,2,11,1,16,1,12,1,16,3,11,2,10,1,11,1,16,1,10,1,8,1,24,1,8,1,13,1,7,1,8,1,9,1,10,1,24,1,13,1,11,1,9,1,12,1,8,1,13,2,12,1,9,2,13,1,6,1,7,1,8,1,13,1,29,1,13,1,6,1,29,2,24,1,13,1,29,1,7,1,6,3,8,1,13,1,7,1,9,1,11,1,16,1,17,13,11,1,17,1,11,1,17,1,11,1,24,2,13,1,9,1,13,1,8,1,24,1,10,2,24,1,9,1,13,2,24,1,12,2,8,1,10,2,12,1,24,1,10,1,17,1,24,1,10,1,9,2,10,1,24,1,10,1,12,1,17,1,10,1,17,1,12,4,17,24,12,2,10,2,24,1,8,1,6,1,8,1,29,2,7,1,30,1,7,2,29,1,6,1,30,1,27,1,28,2,30,1,28,3,29,1,28,1,29,1,28,2,30,1,28,3,30,1,28,1,29,4,30,1,6,1,25,2,7,1,6,1,29,1,24,1,26,1,25,2,24,1,8,1,24,2,7,1,8,1,25,1,8,1,12,1,24,1,17,2,12,1,24,1,17,2,12,2,10,1,24,1,10,1,17,1,24,2,12,1,10,1,17,1,12,1,10,2,8,2,24,1,10,1,24,1,12,2,24,1,10,1,8,2,24,2,8,1,24,2,12,7,10,1,12,3,10,1,13,1,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,29,1,30,3,28,1,6,3,13,1,7,1,24,1,8,1,6,1,29,1,28,6,6,1,28,3,30,2,28,1,30,4,28,2,30,1,28,1,30,3,6,1,30,2,28,2,30,1,28,1,30,3,6,1,9,2,7,1,6,1,24,1,13,1,8,2,7,1,8,2,7,1,13,1,7,1,24,2,25,1,6,1,8,1,25,3,24,1,25,2,6,1,24,1,8,2,10,1,24,1,6,1,7,1,10,2,8,1,10,1,25,1,8,1,24,1,8,1,6,1,25,1,6,2,24,2,8,2,24,1,8,1,10,1,24,1,8,1,24,1,8,2,9,1,24,2,8,1,24,2,13,1,24,3,8,1,13,2,8,1,13,1,8,1,7,1,24,1,8,1,12,1,8,2,9,2,12,1,10,1,8,1,24,2,13,1,8,1,24,1,12,2,10,1,24,3,8,1,24,2,10,2,8,1,24,1,10,2,8,1,9,1,13,1,12,4,24,1,12,1,17,2,12,1,17,1,12,1,17,18,11,1,17,2,11,1,17,1,12,1,10,1,13,3,28,45,7,1,29,1,13,3,7,1,6,1,7,1,13,5,9,3,12,1,13,1,11,1,17,1,9,1,17,6,16,1,11,3,9,2,13,1,8,1,9,1,13,1,11,1,8,1,13,1,9,4,13,2,30,1,13,3,8,2,13,1,9,2,13,1,9,1,6,1,13,1,6,1,30,1,6,1,13,1,9,1,16,1,11,1,9,1,13,3,30,1,28,32,13,3,8,1,30,1,13,1,8,1,7,2,13,3,30,1,6,1,13,3,30,1,13,2,7,1,9,1,13,2,30,2,13,1,6,2,13,1,30,1,13,1,30,1,13,5,6,1,13,2,28,1,9,1,13,1,9,1,13,1,6,1,7,2,13,2,8,2,9,2,13,1,9,1,8,1,6,1,7,1,6,1,29,1,13,1,6,1,9,1,30,1,13,2,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,3,28,1,6,2,13,1,28,1,6,1,9,1,28,1,6,1,30,1,6,2,30,1,28,1,6,1,30,2,6,3,30,1,28,1,30,2,6,1,28,1,6,1,13,2,30,1,6,1,30,1,28,2,6,1,28,12,30,1,28,5,30,1,28,10,30,1,6,1,30,2,28,7,8,1,11,1,14,1,9,1,15,1,10,1,8,1,9,1,13,1,8,1,13,1,28,1,7,1,30,2,28,1,13,1,6,2,30,1,8,1,7,2,24,1,8,1,9,1,11,1,24,1,8,1,6,1,28,7,30,1,9,1,24,1,6,2,28,34,30,1,17,2,10,1,13,1,8,1,13,1,17,2,9,2,13,1,6,1,30,1,29,2,6,1,7,1,8,1,9,1,8,1,9,1,13,1,28,5,30,1,8,1,9,1,6,1,28,2,30,1,28,1,6,2,13,1,8,1,24,1,12,1,14,1,17,1,9,1,8,1,29,1,6,2,8,1,15,1,17,1,8,1,28,1,30,1,28,1,29,1,8,1,17,1,28,50,9,1,17,1,24,1,6,1,28,2,}, {28,10,13,1,30,1,28,26,29,1,7,1,13,1,12,1,17,2,11,1,9,1,8,2,30,2,28,1,30,1,28,5,13,1,10,1,9,1,8,1,28,5,6,2,24,1,8,1,24,1,13,1,28,10,29,1,13,1,12,1,29,1,28,26,30,1,28,15,29,1,28,1,6,3,13,1,6,1,24,1,14,1,9,1,28,2,6,2,8,1,9,1,12,1,24,1,6,1,13,1,29,1,6,1,8,1,7,1,6,1,30,1,8,1,30,1,28,7,29,1,30,1,6,1,13,1,28,6,13,1,9,1,11,1,12,1,24,1,13,1,8,3,13,3,24,1,13,1,15,1,12,1,9,1,13,2,7,1,6,2,29,1,28,33,29,1,28,2,29,1,28,1,6,1,24,1,14,1,13,1,28,6,8,1,12,1,10,1,24,1,8,1,24,1,7,1,6,4,30,1,6,1,29,1,28,2,6,1,28,1,29,2,28,2,29,1,6,2,24,1,12,1,17,4,13,1,28,15,29,1,30,1,28,1,30,1,29,1,30,1,6,1,28,1,29,1,6,1,28,9,9,1,13,1,9,2,12,1,9,3,11,2,16,1,9,1,16,1,11,1,16,1,9,1,11,1,16,1,17,1,11,1,16,1,11,1,17,1,9,1,17,2,11,2,10,1,9,1,8,1,11,1,9,1,13,1,9,2,12,1,8,1,9,3,11,1,9,4,11,3,9,1,16,1,9,2,13,1,10,1,9,2,8,1,9,1,8,1,9,1,8,1,13,1,8,1,11,1,13,1,9,3,11,1,13,1,9,1,8,1,9,1,11,1,13,1,17,1,8,1,9,2,16,1,9,1,10,1,9,2,11,1,9,2,16,5,9,1,11,2,16,4,11,1,9,1,10,1,9,1,16,1,9,2,16,2,11,2,17,1,11,1,9,1,16,1,11,1,16,1,9,1,8,1,9,1,8,1,13,1,30,1,7,1,30,2,29,1,6,1,30,1,6,1,13,1,6,1,8,1,7,1,13,1,10,1,8,1,9,1,12,1,8,1,6,1,7,1,30,1,6,2,30,1,28,1,13,1,30,3,6,1,28,1,30,1,29,1,6,1,28,1,30,1,6,2,30,1,6,3,13,1,8,1,6,2,8,1,9,2,8,1,9,1,8,1,9,1,11,1,17,2,16,1,11,4,16,6,11,2,10,1,11,3,9,1,11,1,9,1,16,1,11,1,13,1,9,2,10,1,9,3,8,1,9,1,11,1,9,1,13,1,9,2,13,1,9,2,13,1,16,1,9,2,10,1,9,3,11,1,16,1,13,1,11,1,9,2,11,1,9,1,8,1,11,1,13,1,9,4,11,1,8,1,9,1,8,1,9,1,13,1,8,1,10,1,13,1,9,1,11,1,9,1,8,1,9,3,17,1,9,5,11,1,9,1,8,1,11,1,17,1,9,1,13,1,10,1,8,1,13,2,7,1,9,1,8,1,24,1,13,1,9,1,7,1,29,1,13,1,6,1,28,1,30,1,28,16,13,1,8,2,13,3,6,1,13,1,8,1,13,3,7,1,30,1,29,1,7,1,30,2,28,1,30,1,29,1,28,1,30,2,28,4,6,1,30,1,28,1,6,2,29,1,6,1,7,1,13,2,28,1,29,1,8,1,29,1,7,1,12,1,13,2,7,1,6,3,28,1,30,1,28,130,29,2,6,1,30,1,29,1,30,2,29,1,28,1,6,1,30,1,6,1,28,1,6,1,30,1,29,1,6,1,13,1,30,1,8,1,6,1,8,3,10,1,9,1,8,1,24,1,8,1,9,3,10,1,9,1,8,1,11,1,8,2,9,1,13,1,8,2,13,2,8,1,13,2,8,2,6,1,13,1,6,1,8,1,6,1,8,1,7,1,13,2,7,1,29,1,13,1,29,1,6,1,30,1,28,3,30,2,28,1,30,1,28,14,30,1,29,1,28,1,30,1,29,1,6,1,7,3,6,1,13,1,7,2,8,1,7,1,8,1,13,2,29,1,8,1,13,1,7,3,6,1,7,1,13,3,8,1,13,1,6,1,29,1,30,1,28,9,17,34,16,1,17,10,16,3,11,3,9,2,16,1,11,1,9,1,11,1,9,3,13,1,11,1,9,1,16,1,11,1,9,1,11,1,16,1,9,1,11,3,9,1,16,1,11,1,16,1,11,1,16,1,9,1,17,1,16,2,11,1,16,3,11,1,16,1,11,1,13,1,10,1,9,1,13,2,28,3,29,1,9,1,13,1,9,2,11,2,9,2,11,1,9,1,16,1,9,1,16,1,11,1,9,1,11,1,16,2,11,1,17,1,16,2,17,4,16,3,9,1,28,2,30,9,13,1,6,2,13,1,30,1,13,1,30,1,6,4,30,7,28,1,6,1,30,4,28,1,6,1,30,2,6,2,30,1,6,1,30,1,6,2,30,1,6,11,30,1,6,1,29,1,30,3,6,2,29,1,28,2,13,1,6,1,30,6,6,1,29,1,30,3,28,1,30,2,6,1,30,2,28,1,30,5,29,1,30,1,29,1,28,1,30,1,6,1,28,1,30,2,6,1,30,7,6,4,30,3,6,3,30,1,28,1,6,2,28,1,6,1,30,8,28,1,6,1,30,4,6,2,30,1,6,1,30,1,28,1,6,3,30,2,29,1,6,2,28,1,30,3,6,2,30,2,29,1,30,1,29,2,30,1,29,1,30,3,6,1,30,1,6,2,30,2,6,3,28,2,30,1,6,1,30,2,13,1,30,1,6,1,30,1,6,1,13,2,7,1,6,1,30,1,13,1,6,3,30,2,6,1,28,1,6,2,30,1,28,1,30,1,28,2,30,3,6,1,30,1,6,2,30,2,6,2,30,2,6,2,30,1,28,1,30,1,28,1,30,2,6,1,28,1,30,3,29,1,30,2,6,1,29,2,6,2,29,1,6,2,29,1,6,2,28,1,6,3,29,1,6,1,30,1,6,1,30,2,6,1,28,1,30,4,29,1,30,1,29,1,6,2,30,4,6,1,30,1,6,1,30,1,6,2,13,1,30,1,13,1,7,1,13,1,7,1,13,2,8,1,13,6,7,1,6,2,30,2,6,2,30,1,6,1,28,1,30,3,7,1,30,2,29,1,30,1,6,2,29,1,30,2,6,1,30,1,28,1,13,1,6,1,30,1,6,2,29,1,6,4,13,2,7,1,13,1,6,2,30,5,29,1,30,2,6,1,13,1,30,1,6,1,30,1,28,1,29,1,30,4,6,2,30,2,6,1,28,1,6,1,30,2,6,1,30,4,6,1,30,1,6,1,28,1,30,1,6,1,30,2,28,1,30,2,28,1,30,2,6,1,30,8,6,1,28,1,30,1,28,1,30,5,28,4,30,2,13,1,24,1,8,1,9,1,10,1,11,2,10,1,9,1,11,1,17,1,16,3,10,1,9,1,11,1,10,1,9,1,13,1,12,1,24,1,7,1,6,1,8,1,9,1,24,1,8,2,17,1,10,1,9,2,13,2,10,1,9,1,12,1,29,1,8,1,6,1,7,1,29,2,30,1,28,1,30,1,13,1,10,1,7,1,29,1,6,4,13,1,6,1,10,1,16,1,17,1,16,1,17,8,16,1,11,1,17,4,9,1,10,1,12,3,24,2,13,1,8,2,9,1,8,3,24,3,17,1,12,1,10,1,8,1,12,1,24,1,10,1,7,1,24,3,9,1,10,1,13,1,8,1,13,1,9,1,8,1,24,1,12,1,10,1,9,1,17,1,9,1,17,22,9,2,24,1,8,1,7,1,8,1,25,2,7,2,29,1,30,2,7,2,8,1,13,1,29,2,6,2,28,8,30,1,28,3,30,1,28,2,29,1,28,1,30,1,28,1,29,1,6,1,7,1,25,3,6,1,8,1,7,1,25,1,8,2,25,1,8,1,10,1,25,1,8,1,24,1,8,2,10,1,24,1,10,2,12,1,24,1,12,3,17,1,12,3,24,1,12,3,10,1,12,2,24,1,17,1,10,2,24,1,12,2,10,1,24,1,8,2,24,1,13,1,10,1,8,3,12,1,24,1,12,1,24,1,9,1,12,1,17,1,10,1,12,2,10,1,17,1,10,1,8,1,30,4,29,1,28,1,30,2,6,2,29,1,7,1,13,1,9,1,24,1,13,1,24,1,6,1,13,1,29,1,28,7,30,2,28,2,30,1,28,2,30,9,28,1,30,8,28,1,30,4,6,1,12,1,24,1,8,1,13,1,24,1,6,1,24,1,13,2,8,1,6,1,8,1,25,1,8,1,25,1,6,1,8,2,6,2,25,1,8,1,6,1,25,1,6,1,8,1,24,1,29,2,8,1,13,1,24,1,6,1,8,1,7,1,24,1,8,1,25,1,24,1,25,1,24,1,25,1,8,4,24,2,13,1,10,1,12,1,9,1,8,1,10,1,8,1,24,1,8,1,10,1,24,1,8,2,24,2,25,1,8,1,7,1,6,1,24,1,8,1,24,1,13,1,24,2,13,1,24,1,7,1,10,2,13,1,17,1,12,1,24,1,9,1,10,1,8,1,13,1,24,3,12,2,24,1,12,2,24,3,7,1,24,3,10,1,12,1,10,1,24,1,12,1,8,1,10,1,12,1,10,2,24,3,12,2,17,1,9,1,12,1,17,1,12,1,17,17,12,1,17,2,11,2,9,1,13,2,8,1,28,44,6,2,7,1,28,1,7,1,6,1,13,1,8,1,13,4,7,1,9,1,10,3,9,2,10,1,12,2,17,7,10,2,8,1,13,1,9,3,8,1,16,1,9,1,13,1,11,1,13,1,8,1,11,1,9,1,13,2,8,1,13,4,11,1,8,1,9,1,13,1,8,1,6,2,30,1,7,1,6,1,13,1,9,4,11,1,6,1,30,1,6,1,28,32,6,1,8,1,13,1,9,1,6,1,7,1,6,1,8,2,13,1,9,1,6,2,13,1,6,1,13,2,8,1,13,1,6,1,13,2,7,1,13,1,6,1,13,1,6,3,8,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,7,1,13,1,28,1,9,1,13,1,6,1,13,1,8,1,13,1,8,1,13,1,29,1,9,1,13,1,8,1,13,2,8,1,13,1,9,1,8,1,13,1,8,1,7,1,13,1,29,1,6,1,8,1,6,1,13,1,30,3,13,2,30,1,13,3,28,2,6,1,7,1,6,1,28,2,30,1,6,1,30,2,6,1,30,1,28,1,13,1,28,1,30,1,6,1,28,1,6,4,28,1,30,2,28,1,30,1,28,2,13,1,30,1,13,1,28,27,30,1,28,3,30,1,6,1,28,1,30,1,28,7,9,1,14,3,9,3,13,1,24,1,8,1,6,2,30,1,28,1,29,1,28,1,6,1,30,2,7,1,6,2,13,1,12,1,8,1,9,1,8,1,11,1,24,1,28,8,7,1,12,1,7,1,6,1,30,1,28,34,6,1,11,1,17,1,24,1,8,1,24,1,10,1,11,1,17,1,15,1,9,1,24,1,29,1,30,1,28,1,7,1,6,1,13,2,24,1,9,3,28,4,30,1,6,1,8,1,12,1,13,1,30,1,28,3,6,1,7,1,8,1,9,2,15,1,12,2,9,1,13,1,30,2,6,1,29,1,17,2,9,1,6,1,28,2,30,1,24,1,8,1,6,1,28,49,8,1,17,1,13,1,28,3,}, {28,8,30,1,28,26,30,1,28,1,6,3,8,1,11,1,17,2,9,1,13,1,8,1,13,1,6,1,30,1,28,1,30,2,28,4,13,1,8,1,15,1,29,1,28,6,7,1,12,1,9,1,24,1,6,1,28,11,6,1,17,1,6,1,28,43,29,1,30,1,29,1,7,1,30,1,13,1,9,1,15,1,24,1,28,1,29,1,30,1,28,1,13,2,12,1,9,1,30,3,6,2,13,1,8,2,30,2,28,7,29,1,6,1,8,1,29,1,28,6,13,1,24,1,11,1,12,1,24,1,8,4,24,1,13,1,7,1,8,2,15,1,9,1,24,1,6,2,7,2,8,1,29,1,28,34,30,1,28,2,29,1,6,1,24,1,9,2,28,6,9,1,12,1,10,1,24,2,8,2,29,1,7,1,29,1,30,1,28,1,30,1,29,1,8,1,6,1,30,1,29,1,30,1,28,1,29,1,6,2,13,1,6,1,9,1,12,1,11,1,17,2,14,1,6,1,28,16,30,3,28,1,30,1,28,1,13,1,6,1,30,1,28,9,30,1,9,2,8,1,9,2,11,1,9,1,17,1,16,2,9,1,11,2,17,1,16,1,13,1,16,2,11,1,16,2,11,1,16,1,17,1,11,1,17,3,9,1,13,1,9,3,8,1,9,3,13,1,9,1,11,2,8,1,10,1,9,2,13,1,11,1,8,1,9,1,8,1,9,3,8,1,9,4,11,1,13,1,11,1,9,4,8,1,9,6,13,1,9,2,11,3,9,1,16,1,13,1,16,1,9,1,13,1,9,1,11,1,10,1,9,1,11,1,9,2,11,1,16,1,11,1,16,1,11,1,9,1,16,2,11,3,17,1,9,1,16,1,10,1,16,1,11,2,17,1,16,1,11,1,16,1,11,1,10,1,9,2,11,1,9,2,13,1,6,1,30,2,6,1,28,1,6,3,8,1,13,1,6,1,13,1,8,1,24,1,9,3,17,1,9,1,30,1,6,2,30,1,6,1,28,1,30,2,6,2,29,1,30,1,7,1,30,1,6,1,29,1,30,1,28,1,6,1,30,1,28,1,30,1,6,1,13,1,8,1,6,1,7,1,6,1,7,1,8,1,9,1,8,1,9,2,10,1,17,2,11,1,16,1,11,2,16,1,11,2,16,3,11,2,16,2,9,7,11,1,9,2,8,1,9,5,10,1,16,1,10,1,9,1,11,1,9,1,11,1,9,2,8,1,11,1,9,3,11,1,13,1,9,8,11,1,13,1,9,2,11,1,9,1,11,2,9,1,8,1,9,1,11,2,9,1,10,2,9,2,11,3,9,1,11,1,9,1,11,1,16,1,13,1,11,2,9,1,11,1,9,2,11,1,10,1,13,1,10,1,8,1,13,4,11,1,8,1,9,2,8,2,7,1,29,1,6,2,28,2,30,1,28,14,10,1,8,1,13,2,7,1,30,1,13,3,7,1,13,2,29,1,6,3,28,1,30,1,28,1,30,2,28,2,30,1,28,3,29,1,28,1,30,1,28,1,30,1,6,1,8,1,30,1,13,1,6,1,13,1,6,1,13,2,7,1,6,1,28,1,13,1,8,1,6,1,29,1,30,1,6,1,13,1,30,1,29,1,30,1,28,1,30,1,28,122,6,1,28,1,30,1,29,1,28,1,29,1,28,1,6,1,29,1,13,1,29,1,6,1,13,1,29,1,6,4,13,1,6,1,13,1,7,1,13,1,10,1,13,1,9,2,8,1,11,1,12,1,13,1,9,6,11,1,8,1,11,1,8,1,9,1,8,1,9,2,13,1,24,1,13,1,9,1,8,1,13,3,24,1,6,1,13,1,9,1,7,2,6,4,28,1,7,1,28,2,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,4,29,1,28,2,30,1,29,1,28,1,30,1,28,2,30,1,28,3,7,3,13,3,8,1,7,1,13,2,8,1,13,5,8,1,13,3,8,1,13,4,30,1,28,1,30,1,28,8,12,1,17,37,16,1,17,6,16,2,11,3,16,1,9,6,13,1,9,2,11,1,13,1,11,1,9,1,11,6,16,2,11,1,16,3,11,1,16,2,17,1,16,2,11,1,16,3,11,1,10,1,13,3,9,1,13,2,6,1,28,2,6,1,13,1,10,1,9,2,11,1,16,1,13,1,9,4,16,1,8,1,16,1,11,1,16,2,11,1,16,1,11,1,16,1,17,1,16,1,17,2,16,2,17,1,9,1,28,3,6,2,28,1,30,3,6,1,30,1,6,2,7,1,6,1,7,1,30,1,6,5,30,2,28,1,6,1,28,1,30,1,29,1,30,1,28,1,30,1,6,1,30,1,29,1,30,1,13,2,29,1,6,3,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,28,1,30,4,28,1,6,1,28,1,9,1,30,9,29,1,30,5,28,1,30,3,28,1,30,1,6,1,30,2,6,1,30,2,29,1,28,1,30,5,28,1,6,1,30,2,6,1,30,1,29,1,30,2,6,2,30,1,6,4,30,1,6,1,28,1,30,1,6,1,30,3,28,1,30,4,29,1,28,1,29,1,6,2,30,2,7,1,30,1,6,3,30,1,6,4,30,2,6,1,30,1,6,1,30,2,28,1,30,1,6,1,30,5,6,1,30,1,6,1,30,1,29,1,30,1,6,1,29,2,30,1,6,1,30,2,29,1,6,1,29,1,30,3,6,2,29,1,30,2,6,1,30,3,6,1,28,1,6,5,30,1,13,2,6,1,30,1,6,1,30,4,6,1,30,3,6,1,30,2,6,3,29,1,6,1,29,1,7,1,28,1,30,1,6,3,30,1,6,1,30,2,6,1,30,1,28,1,30,1,6,2,30,2,6,2,30,1,6,2,30,2,6,10,30,5,29,1,30,4,29,1,30,2,6,1,29,1,30,2,28,1,30,1,6,1,30,2,6,7,13,2,6,2,13,5,6,1,13,2,6,2,13,1,30,4,29,1,30,4,6,2,28,1,6,4,29,1,30,1,6,4,30,2,7,1,6,1,7,1,30,1,6,2,30,1,7,1,13,3,6,5,30,3,6,1,29,1,6,1,13,1,30,1,29,1,30,1,6,1,28,1,29,1,6,1,30,1,29,1,30,2,6,2,30,1,6,1,29,2,30,2,6,2,30,2,6,2,30,3,6,1,30,4,29,1,30,1,6,1,28,1,6,1,30,5,28,1,30,1,28,1,30,9,28,5,6,1,30,1,28,1,8,1,9,1,10,1,9,1,11,1,17,1,11,1,16,1,12,1,16,3,11,2,9,2,11,1,9,1,8,1,9,2,6,1,24,1,13,1,8,1,9,3,12,1,8,1,7,1,13,1,11,1,10,1,11,1,10,1,17,1,30,1,13,1,30,1,8,1,6,1,13,1,30,1,28,1,30,1,9,1,24,1,6,4,7,1,8,1,13,1,8,1,9,1,16,1,17,7,16,1,17,8,11,1,10,2,9,2,24,1,8,1,13,1,24,2,8,1,24,2,7,1,8,1,24,1,12,1,17,1,24,1,12,5,17,1,24,1,10,1,8,1,24,1,10,1,13,1,8,1,9,1,24,1,8,1,9,1,10,2,12,1,17,1,10,1,17,16,11,1,17,1,10,1,8,3,24,2,25,2,24,1,30,1,7,1,25,1,6,2,8,1,13,1,29,1,7,3,6,1,7,2,27,1,30,1,28,5,30,1,28,1,30,1,28,5,30,3,29,2,28,2,29,1,6,1,29,2,25,1,8,1,25,1,8,1,25,2,24,1,8,1,24,1,8,1,24,1,8,1,25,1,8,2,12,2,24,1,17,1,24,1,10,1,17,1,12,1,17,2,10,1,24,1,17,1,24,1,17,1,24,1,12,1,24,1,10,1,12,1,8,1,12,2,24,1,10,1,24,1,12,1,8,2,24,1,7,1,8,1,24,4,9,3,12,1,10,1,12,1,17,1,9,1,17,1,9,1,17,2,10,1,24,1,6,1,28,3,30,1,28,1,30,1,28,1,6,1,7,1,9,2,13,1,6,1,30,2,28,8,30,1,28,3,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,8,28,2,30,1,29,1,28,1,29,1,11,1,13,1,6,1,7,1,24,1,8,2,7,2,25,3,8,1,25,1,8,1,6,2,25,1,8,1,24,1,6,2,25,1,24,1,6,1,8,1,25,1,13,1,8,1,24,1,8,3,13,1,17,1,10,1,7,1,24,1,25,1,12,1,24,1,25,2,24,2,6,1,24,1,7,1,30,1,13,1,7,1,24,1,9,1,10,2,8,1,10,1,6,1,7,1,8,1,24,1,8,2,24,2,25,1,8,1,24,1,13,1,8,1,7,1,8,1,13,1,7,1,13,2,10,2,24,2,12,1,24,3,13,1,8,1,24,1,8,1,24,1,10,1,24,1,12,2,24,1,12,2,24,1,29,1,17,1,12,1,24,2,12,2,9,1,12,1,10,1,24,1,12,1,24,1,10,1,8,1,10,1,12,2,10,1,17,2,12,2,17,6,12,1,17,12,12,2,11,1,12,1,11,1,9,1,13,2,11,1,28,42,29,1,7,1,6,1,13,1,29,1,8,1,30,1,9,2,29,1,8,1,13,2,7,1,9,1,11,1,9,1,11,1,9,1,10,2,17,7,16,1,9,1,11,1,17,1,7,1,13,1,9,1,13,1,9,2,17,1,13,1,9,4,13,2,9,1,6,1,9,1,13,1,9,1,13,4,9,2,7,1,13,1,29,2,30,1,6,1,9,2,10,1,9,1,8,2,6,1,13,2,30,1,28,31,13,1,9,1,6,1,13,2,30,1,13,1,6,1,13,2,6,2,13,3,6,1,13,3,6,1,13,3,7,1,13,2,6,1,7,1,6,1,7,1,13,5,28,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,9,1,6,1,13,5,9,1,8,1,13,4,7,1,13,2,30,1,13,1,6,1,13,1,6,3,13,1,30,1,13,1,30,1,13,1,29,1,13,2,29,1,6,1,8,1,28,2,30,1,13,1,30,1,6,1,30,1,28,1,30,1,28,1,13,1,28,1,30,2,28,1,29,1,30,1,6,1,28,2,6,1,28,1,6,1,7,1,30,1,28,1,30,1,28,1,13,2,28,1,13,1,30,2,6,1,28,31,6,1,30,1,28,7,30,1,7,1,14,1,15,1,14,1,24,1,12,1,9,1,13,1,8,2,13,1,6,3,28,1,30,1,29,2,7,2,13,1,6,1,24,1,8,1,12,1,8,2,24,2,30,1,28,7,7,1,15,1,7,1,6,1,29,1,28,34,13,1,11,1,14,1,9,1,8,1,13,1,8,1,15,1,12,1,11,1,12,1,13,1,7,1,29,1,30,1,29,1,7,1,6,1,9,1,8,1,10,1,24,2,28,5,30,1,9,1,11,1,6,1,30,1,28,2,29,1,6,1,13,1,9,1,8,1,10,1,9,1,24,1,9,1,13,1,6,3,28,1,30,1,17,2,24,1,28,3,13,1,6,1,11,1,28,50,8,1,17,1,13,1,6,1,28,2,}, {28,7,30,1,28,26,29,1,28,2,30,1,29,1,13,1,9,1,17,3,8,1,13,1,8,1,13,1,29,1,28,7,29,1,7,1,9,1,12,1,7,1,28,6,30,1,10,1,6,1,7,1,13,1,28,11,29,1,12,1,13,1,28,24,30,1,28,18,30,1,28,1,30,2,13,1,29,1,8,1,14,1,13,1,28,2,6,1,30,2,9,1,12,1,8,1,6,2,30,1,6,1,13,1,24,1,8,1,7,1,8,1,28,8,30,1,7,2,13,1,28,6,29,1,9,1,12,1,10,2,24,1,13,1,8,1,13,2,8,1,13,1,24,1,8,2,9,2,13,1,7,1,13,2,6,2,28,35,30,2,7,1,13,1,8,1,9,1,10,1,30,1,28,5,15,1,8,1,24,1,10,1,8,1,7,1,6,2,7,1,6,4,30,2,6,1,30,2,29,4,6,1,29,1,8,1,24,1,17,1,24,1,16,1,17,2,8,1,30,1,28,15,29,1,28,1,6,1,28,2,30,1,28,1,29,2,28,9,13,1,9,1,8,1,13,1,9,1,11,5,16,1,11,1,10,1,9,1,11,1,17,1,16,3,9,1,16,1,11,1,9,1,8,1,11,2,16,1,9,1,11,1,9,1,11,1,8,1,9,1,13,1,8,1,9,2,11,1,13,1,9,1,8,1,16,1,9,2,11,1,13,1,11,1,9,1,8,1,11,1,8,1,10,1,9,1,11,1,9,1,11,2,16,1,13,1,9,1,13,1,9,1,11,1,13,1,16,1,9,1,13,1,9,3,10,1,9,3,10,1,9,1,16,1,9,1,11,1,9,1,16,1,9,1,16,1,9,4,11,1,9,2,11,2,16,1,11,1,8,1,17,1,11,1,17,1,11,1,9,1,17,1,9,1,11,1,9,2,11,1,9,1,17,1,16,2,11,2,16,1,11,1,9,1,16,3,9,1,16,1,13,3,6,1,30,1,6,1,30,1,6,1,7,1,6,1,13,1,6,1,24,1,7,1,8,2,13,1,10,2,24,1,13,1,6,1,28,1,29,1,6,2,13,1,28,1,6,3,30,2,28,2,6,5,30,1,6,2,13,1,6,4,8,1,6,1,7,1,13,1,8,1,13,1,9,1,11,1,16,1,17,1,11,3,16,2,9,1,11,2,16,2,11,1,16,1,10,1,9,1,11,1,9,1,11,1,9,4,13,1,11,1,9,2,8,1,10,1,9,2,13,1,10,1,13,1,9,3,11,1,9,1,8,1,10,1,11,1,9,2,11,1,8,1,11,1,13,1,9,3,11,1,8,1,9,3,10,1,11,2,9,1,10,3,9,1,11,1,9,7,16,1,9,2,10,1,9,2,17,1,8,1,11,1,9,2,11,1,9,1,10,1,9,2,16,1,11,1,9,2,8,2,13,1,9,1,13,1,8,1,10,1,9,2,10,1,13,1,6,1,8,1,6,1,29,2,28,17,8,1,9,1,13,1,6,1,7,1,6,1,7,1,30,1,6,1,13,1,7,1,30,1,7,1,6,3,28,2,30,2,28,3,30,1,28,1,29,1,6,1,28,1,30,1,6,1,28,1,6,1,7,1,29,1,6,1,7,1,13,2,7,1,6,1,30,1,29,1,28,4,8,2,24,1,7,1,8,1,6,1,13,1,6,1,29,1,30,1,28,11,30,1,28,109,30,3,28,3,30,2,6,1,28,1,6,1,29,1,13,1,29,1,6,1,13,1,7,1,13,2,8,2,7,2,13,1,8,1,9,1,13,1,11,1,13,2,9,1,8,1,9,1,13,1,9,2,10,1,12,1,13,1,8,1,11,1,9,1,8,1,13,1,7,1,10,1,8,2,9,1,13,2,8,1,13,1,9,1,7,1,9,1,13,2,8,1,6,1,7,2,30,1,6,1,30,1,28,1,30,1,28,25,30,1,28,1,30,2,28,2,30,1,6,1,7,2,6,2,13,1,8,1,6,1,13,2,8,1,13,1,8,1,30,1,13,3,6,1,13,1,8,1,13,1,8,1,13,1,6,1,30,1,28,5,30,1,28,3,17,46,16,3,9,2,11,1,9,5,11,1,9,4,11,1,9,1,11,4,9,1,11,2,16,6,17,1,16,2,11,3,16,1,11,2,9,2,13,6,6,2,28,2,13,1,9,1,10,1,11,1,9,2,11,1,9,2,8,1,11,2,10,1,16,1,9,2,16,1,11,1,16,1,11,1,16,1,17,3,16,2,17,1,16,1,28,3,30,2,6,1,28,1,30,2,28,1,30,1,6,2,30,1,6,9,28,1,6,3,30,1,6,2,30,1,6,1,30,3,29,1,6,1,30,1,6,2,30,1,29,1,6,1,7,1,6,7,30,2,6,1,30,1,6,1,30,2,6,2,30,3,28,1,30,1,28,1,6,2,30,1,7,1,30,1,8,1,30,2,6,1,30,1,6,4,30,1,6,1,28,1,6,1,30,1,6,1,30,2,6,1,30,8,6,1,30,2,28,1,30,5,6,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,6,1,30,2,28,1,6,1,30,1,6,1,30,1,28,1,13,1,30,1,6,1,30,5,28,1,30,2,28,1,13,1,30,2,6,1,30,2,13,1,28,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,29,2,6,2,28,1,30,2,6,1,30,1,6,1,29,1,6,1,30,5,28,1,30,5,28,1,30,1,28,1,29,1,28,2,6,1,30,3,6,1,30,3,6,5,28,1,6,3,13,1,30,1,13,1,29,1,13,1,30,1,6,1,30,1,6,2,30,4,28,1,30,2,7,1,30,1,28,1,30,1,6,1,30,2,29,1,30,1,13,1,30,1,6,1,29,1,30,2,28,1,30,2,28,1,6,1,30,4,6,1,29,1,30,1,6,2,30,1,6,1,30,1,29,2,6,3,30,4,6,2,30,5,28,1,29,1,30,1,28,1,6,1,30,1,6,1,30,3,28,1,30,3,6,1,28,3,30,1,6,1,30,1,6,2,13,1,6,1,29,1,30,1,29,1,6,1,7,1,13,4,6,1,30,1,13,1,7,1,13,2,30,2,7,1,6,6,30,1,6,2,29,1,6,4,7,1,6,3,13,1,6,7,30,1,6,1,13,1,6,2,13,3,30,1,7,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,13,1,6,1,30,1,6,1,30,2,7,1,28,1,6,1,30,1,29,1,6,2,29,2,30,1,29,1,6,2,30,1,6,1,28,1,30,1,6,1,29,1,6,1,30,1,29,1,30,1,6,1,30,5,6,2,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,4,28,1,29,1,28,6,30,1,6,1,28,1,6,1,24,1,8,1,12,1,10,1,11,1,16,1,9,1,16,1,17,2,16,1,11,1,10,1,8,1,9,1,10,1,8,1,9,1,8,1,13,2,10,1,7,1,8,1,9,1,10,1,8,1,17,1,8,2,10,1,9,1,12,1,9,1,12,1,9,1,6,1,13,1,6,1,7,1,6,1,7,1,30,1,28,1,6,1,9,1,8,1,28,1,6,1,7,1,6,1,7,1,13,2,8,1,24,1,12,1,16,1,11,1,12,2,17,3,11,1,10,1,17,6,11,1,10,1,12,1,9,1,13,1,24,4,13,1,7,1,13,1,17,1,10,1,8,1,17,1,10,1,17,1,12,1,10,1,24,1,12,1,10,1,24,1,12,1,24,1,10,2,13,1,8,1,12,1,24,2,8,1,24,1,12,1,24,1,8,1,24,1,12,1,17,3,9,1,12,1,17,13,8,1,6,1,24,3,13,1,8,1,7,1,25,1,8,1,7,1,6,1,25,1,29,1,8,1,29,1,8,1,24,1,7,1,24,1,8,1,24,1,7,2,29,1,28,14,30,2,28,3,30,1,27,1,30,2,26,1,29,1,25,1,29,1,25,2,8,1,25,1,8,1,24,2,6,1,24,2,8,1,25,1,24,1,10,3,17,1,24,1,10,1,12,1,17,1,10,1,17,1,10,1,24,1,17,2,24,3,12,2,17,1,12,1,10,1,17,1,24,1,12,1,24,1,8,1,24,2,25,1,24,2,8,2,10,1,8,1,12,1,10,1,12,2,9,1,24,1,17,1,24,1,12,1,11,1,10,2,24,1,12,1,7,1,28,1,29,1,28,1,29,1,30,2,28,1,6,3,30,1,28,9,30,2,6,1,30,3,28,2,30,1,28,1,30,1,28,6,30,2,29,1,30,3,28,1,30,3,28,2,30,6,28,1,30,1,6,1,30,1,13,2,6,1,8,1,13,1,8,1,13,2,8,1,25,2,8,1,7,1,24,1,8,1,6,1,24,2,30,1,6,1,8,1,25,1,8,1,25,1,8,1,7,1,24,1,6,3,8,1,24,1,7,1,24,1,13,1,24,3,25,1,24,2,8,1,24,2,25,1,24,1,13,1,7,1,8,1,24,2,7,1,10,1,13,1,9,1,24,1,9,1,10,1,24,2,12,1,24,1,10,1,24,3,8,2,24,1,8,1,24,4,12,1,24,1,13,1,8,1,24,2,8,1,24,1,8,1,12,1,13,1,29,1,24,2,8,1,10,1,12,1,24,1,10,1,8,1,12,1,24,2,12,1,10,2,8,2,24,2,12,2,9,1,24,1,10,1,12,2,24,1,12,3,17,1,10,1,12,3,17,18,12,2,11,1,12,1,10,1,9,2,8,1,13,1,8,1,13,1,28,41,30,1,29,1,30,1,6,2,13,1,8,1,9,1,7,1,8,2,13,1,7,2,8,2,10,2,13,1,9,1,10,1,11,1,10,1,17,4,9,1,11,1,16,1,9,1,10,1,9,1,13,1,9,1,8,1,9,1,13,3,9,1,11,1,13,1,9,2,13,1,10,1,13,2,8,1,13,3,9,1,11,1,13,1,10,1,13,1,6,2,30,1,6,2,8,1,9,1,10,2,9,1,13,2,7,1,28,1,30,1,28,31,6,2,8,1,13,5,6,1,13,2,30,1,13,2,30,1,6,1,8,1,13,1,6,1,13,1,6,1,13,1,8,1,13,2,6,1,13,1,7,2,13,4,30,1,9,1,13,4,8,1,9,1,29,1,6,1,13,2,6,1,13,7,8,1,9,1,13,1,8,1,6,1,13,1,28,1,30,1,28,1,8,1,29,1,9,1,6,1,13,1,6,1,30,1,6,1,29,1,7,1,30,1,6,1,13,1,6,1,13,1,6,1,30,1,28,1,30,1,28,1,6,2,28,2,30,2,28,1,13,1,28,1,7,1,28,3,13,1,6,2,29,1,7,1,28,3,6,1,30,1,28,1,13,1,6,2,28,1,6,2,28,30,6,1,29,1,30,1,28,8,9,1,14,1,12,4,24,1,13,1,8,2,7,1,29,3,28,1,30,1,29,1,6,1,29,1,6,1,13,2,8,2,9,4,24,1,30,1,28,6,29,1,6,1,9,1,8,2,30,1,28,29,30,1,28,4,6,1,15,1,14,1,9,1,8,3,12,1,17,2,9,1,24,1,29,1,6,3,30,1,13,1,8,1,24,1,15,1,8,2,30,1,28,2,30,1,28,1,6,1,8,1,9,1,29,1,30,1,28,2,30,1,6,2,9,3,15,1,12,2,13,1,30,1,6,1,28,1,29,1,6,1,9,1,8,1,10,1,29,1,28,1,6,2,9,2,29,1,28,17,30,1,28,30,6,1,8,1,17,1,13,1,28,3,}, {28,7,29,1,28,27,30,1,6,1,7,1,6,1,13,1,17,1,16,2,9,4,13,1,29,2,28,6,30,1,29,1,12,1,15,1,13,1,28,6,13,1,15,1,24,1,6,1,13,1,6,1,28,10,6,1,9,1,13,1,28,22,30,1,29,1,30,1,28,17,30,1,28,2,6,3,8,2,9,1,24,1,28,3,6,2,8,1,9,1,10,1,28,2,6,1,29,1,7,1,24,1,8,1,7,1,29,2,28,8,6,1,13,1,6,1,30,1,28,5,30,1,11,1,12,1,13,1,24,1,8,1,7,1,13,1,8,2,13,2,24,3,9,1,8,1,6,3,13,1,6,1,8,1,28,35,30,1,29,1,6,1,29,1,6,1,14,1,24,1,30,1,28,5,10,1,8,1,24,1,9,1,8,1,6,1,30,1,6,1,29,1,6,2,29,1,28,1,30,1,28,1,6,1,13,1,28,2,6,2,30,1,13,1,29,1,13,1,8,1,17,5,13,1,28,18,6,1,30,1,13,1,30,1,6,1,30,1,28,2,30,1,28,7,6,1,8,1,9,2,11,1,9,2,16,1,9,1,11,1,16,1,11,4,16,1,11,1,9,1,11,1,16,1,11,1,16,2,17,2,16,2,10,1,12,1,10,1,9,1,13,1,9,1,8,1,9,1,13,1,10,1,9,2,13,1,11,1,9,1,8,1,13,2,8,1,9,2,16,1,9,1,11,2,16,1,13,1,16,1,11,1,10,1,9,3,16,1,9,4,10,1,13,2,9,1,10,1,16,1,9,2,8,1,9,1,11,1,9,3,16,1,8,2,16,1,9,3,16,1,11,2,13,1,16,2,11,1,16,1,10,1,11,1,9,1,11,2,9,1,16,2,10,2,16,2,11,2,16,2,11,1,16,1,17,1,10,1,16,1,9,3,16,1,9,1,10,1,13,1,30,1,13,1,29,1,6,1,30,1,28,1,6,1,30,1,7,1,13,1,6,1,13,1,8,2,24,1,11,1,17,1,9,1,13,1,28,1,29,1,13,1,30,1,6,2,7,1,28,1,30,1,6,2,30,1,6,2,30,1,6,2,30,1,6,4,13,1,6,1,30,1,6,3,30,1,6,1,13,1,7,1,13,1,8,1,9,1,16,1,17,1,9,1,11,3,16,3,11,3,17,1,11,2,9,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,8,1,9,1,8,2,9,7,12,1,11,1,13,1,9,1,8,1,9,2,8,1,9,1,8,1,11,1,8,1,16,1,8,1,16,1,9,3,16,1,9,1,10,1,11,1,9,2,11,2,10,1,8,1,9,3,13,1,11,1,9,5,11,1,10,1,9,1,11,1,8,1,11,2,8,1,10,1,16,2,10,1,11,2,9,1,10,1,13,1,9,5,8,3,13,1,10,1,24,2,13,1,6,1,13,1,6,1,7,1,6,1,28,17,30,1,10,1,13,2,7,1,13,1,6,2,7,2,29,1,6,2,30,1,7,1,6,1,7,1,30,1,29,2,30,2,28,1,30,1,29,1,28,1,6,1,30,1,6,1,28,1,29,2,28,1,29,2,13,1,6,1,7,1,6,2,29,1,28,1,6,1,30,1,28,2,30,1,29,2,6,1,13,2,7,1,8,1,13,1,29,1,30,1,28,1,30,1,29,1,28,119,30,3,28,1,6,3,30,1,6,2,13,2,8,1,6,1,24,1,13,2,8,1,13,2,9,1,13,1,24,1,8,1,13,3,9,2,24,1,11,1,10,1,9,1,13,1,8,1,13,1,17,1,6,1,8,1,13,1,9,1,11,1,9,2,13,1,9,1,13,2,8,1,13,2,8,3,13,2,8,1,13,1,8,1,6,2,7,1,28,1,6,1,28,16,29,1,28,9,29,1,30,1,28,3,30,2,28,2,6,2,7,1,13,1,6,1,13,1,6,1,8,1,7,2,13,1,24,1,13,1,8,1,13,2,24,1,13,1,8,1,13,3,7,1,28,9,30,1,11,1,17,22,12,1,17,22,16,1,11,1,9,1,16,1,9,8,13,1,11,1,9,1,13,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,11,2,16,1,11,1,16,4,17,1,16,2,9,1,11,1,9,1,11,2,9,1,11,1,9,1,13,2,9,1,13,3,6,2,28,3,11,1,6,1,13,1,8,1,9,1,13,1,8,1,10,1,9,2,13,1,9,2,11,1,16,1,11,2,16,1,11,1,16,4,10,1,16,1,17,1,28,4,30,8,6,1,30,1,6,1,30,1,6,1,7,1,6,1,13,1,29,1,6,5,30,2,6,1,30,2,29,1,30,1,29,1,6,2,28,2,29,1,6,1,28,1,6,3,29,1,30,4,6,1,28,1,6,1,30,2,6,1,29,1,30,1,6,3,30,1,29,1,6,1,30,2,6,1,30,2,6,1,30,1,6,2,13,1,30,1,29,1,30,2,6,3,30,3,6,1,28,3,30,2,28,1,30,3,6,1,30,1,6,1,30,2,6,1,28,1,29,1,6,1,29,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,29,1,28,1,30,1,6,2,13,1,6,4,29,1,6,1,30,1,6,1,30,3,6,1,28,1,30,7,6,2,30,1,6,1,29,1,6,4,30,1,6,1,30,1,6,1,29,1,30,1,28,1,6,3,28,1,30,4,28,1,30,2,28,1,30,4,6,3,30,3,29,1,28,1,6,1,29,1,6,2,30,2,6,2,28,1,30,1,6,1,30,4,6,1,28,1,6,1,13,1,6,1,30,2,13,1,29,2,6,5,28,1,30,7,28,2,6,1,29,1,30,3,6,2,28,1,6,2,30,2,28,1,30,3,29,1,30,1,6,1,30,3,6,1,30,1,6,2,30,1,29,1,6,1,28,1,30,2,6,1,30,2,6,1,7,1,29,1,30,1,6,2,28,1,30,1,28,2,30,2,6,2,30,2,28,1,30,6,6,1,30,2,6,1,30,2,29,1,28,1,6,1,29,1,6,2,30,1,6,4,13,1,7,1,6,1,13,1,6,1,7,1,6,2,7,1,29,1,6,1,7,1,29,1,6,1,30,2,28,1,6,1,13,1,28,1,6,1,28,2,6,3,30,1,6,1,29,1,30,2,6,1,29,1,30,1,6,1,29,1,6,2,30,1,6,1,30,1,6,1,30,1,29,1,8,1,13,1,6,2,7,1,6,1,28,1,7,1,30,1,6,1,13,1,30,1,6,1,28,1,6,2,30,1,6,2,30,2,6,3,30,2,29,1,13,1,30,1,6,3,29,1,30,2,6,1,28,2,6,2,28,1,30,6,29,1,30,6,28,2,30,2,29,1,30,1,29,1,30,4,28,1,30,1,28,10,13,3,24,1,11,1,16,1,11,2,12,1,11,1,16,1,12,1,16,1,10,2,13,1,16,1,12,1,9,2,8,2,7,1,8,1,13,1,9,2,8,1,12,1,9,1,24,1,9,2,11,1,9,2,10,2,13,1,6,1,13,1,6,1,13,1,30,1,28,3,10,1,6,2,13,1,29,1,8,1,6,1,8,1,9,1,24,2,8,1,24,3,8,1,9,1,17,1,12,1,10,1,8,2,17,6,11,1,10,1,8,2,24,1,8,1,24,1,8,1,24,1,7,1,9,1,10,1,9,1,17,1,10,1,17,1,12,1,17,1,12,2,17,1,12,1,10,2,24,4,7,1,24,1,10,1,12,1,24,1,17,1,13,1,10,2,9,1,17,1,12,2,24,1,12,1,17,1,12,1,17,1,10,1,17,1,12,1,17,8,10,1,6,2,13,1,29,2,7,5,8,1,7,1,6,1,8,1,13,1,24,5,6,1,8,1,6,1,7,1,30,1,28,6,30,1,28,1,30,1,28,6,30,2,29,1,28,1,29,1,28,1,29,1,6,2,7,1,8,1,25,1,6,1,24,1,8,1,26,1,24,1,8,1,24,3,10,1,24,1,12,1,24,2,12,1,17,1,12,3,24,1,12,1,10,1,12,2,13,1,12,2,8,1,17,2,10,1,12,1,10,1,24,1,17,1,24,4,12,1,24,2,25,1,10,1,8,3,6,1,12,2,24,1,10,1,12,3,9,1,12,2,17,2,9,1,8,1,30,2,28,3,30,1,13,1,6,1,13,1,6,1,28,1,30,1,28,2,30,10,28,2,30,1,28,1,30,1,28,4,30,1,28,6,30,2,6,2,28,2,30,2,28,1,30,2,28,1,30,2,28,1,30,2,28,2,24,1,13,4,24,1,13,1,8,2,13,1,25,1,24,1,6,1,25,2,7,1,26,1,25,1,8,1,25,2,24,1,6,1,8,1,29,2,25,1,8,2,25,1,7,1,8,1,24,3,8,1,24,2,6,1,29,1,8,1,7,1,8,1,25,1,8,2,6,1,13,2,6,1,24,2,10,1,24,2,8,1,7,1,24,1,8,1,12,1,24,1,8,1,24,1,7,1,8,2,24,1,8,1,12,1,24,1,8,1,24,3,8,1,24,1,8,1,24,1,10,1,13,1,24,1,10,2,24,1,13,1,7,1,8,2,24,1,10,1,12,3,24,1,12,1,24,1,10,1,8,2,10,3,24,1,10,1,13,1,10,2,9,1,10,1,24,1,17,1,10,1,12,1,24,1,17,1,12,3,9,1,12,1,10,1,12,1,17,16,12,1,17,2,11,1,17,1,12,1,9,1,11,1,9,1,13,3,28,42,7,1,13,1,29,1,13,1,29,1,30,1,8,1,13,2,9,1,13,2,24,1,9,1,8,1,10,1,9,1,8,2,10,1,9,2,17,6,11,1,8,1,11,1,9,3,8,1,13,1,9,2,11,1,9,1,10,1,13,1,8,1,13,5,9,1,13,1,9,4,13,1,8,1,13,1,6,1,30,1,7,1,28,1,13,1,8,1,11,1,10,1,8,1,9,1,13,3,30,1,6,1,28,31,13,2,9,1,13,1,7,1,13,3,7,1,13,2,6,1,13,2,8,1,30,1,8,1,6,1,13,1,6,1,13,5,6,1,7,1,6,1,7,1,13,1,9,1,13,3,9,1,13,3,8,1,6,1,13,3,30,1,13,2,28,1,8,1,13,4,6,1,8,1,7,1,30,1,9,1,13,1,6,1,29,1,6,2,30,1,7,1,30,1,6,2,29,1,7,1,13,2,7,1,13,1,28,1,30,2,29,1,30,1,28,1,30,2,28,1,7,1,30,1,6,1,30,1,6,1,28,4,30,1,28,1,29,1,30,1,28,1,30,3,28,1,30,1,28,2,30,3,7,1,29,1,6,1,30,1,13,1,28,2,30,1,28,20,30,1,28,7,7,1,6,2,30,1,28,7,9,1,14,1,9,1,11,1,16,1,24,1,8,2,24,1,7,2,6,2,29,2,30,2,13,1,30,1,7,1,13,2,6,1,8,1,9,1,24,1,10,1,9,1,8,1,28,8,8,1,10,1,8,1,13,1,28,35,7,1,15,1,17,1,24,1,13,1,6,1,8,1,10,1,12,1,15,1,12,1,13,1,30,1,29,1,30,1,28,1,6,2,24,2,9,2,13,1,28,4,29,1,30,1,8,1,10,1,7,1,30,3,6,2,13,1,8,1,9,1,12,2,10,1,8,1,12,1,6,1,29,1,28,1,30,1,13,1,9,2,24,1,29,1,28,1,6,2,24,1,11,1,28,28,29,1,28,20,29,1,9,1,12,1,8,1,30,1,28,2,}, {30,1,28,3,30,2,28,27,30,1,6,2,13,1,6,1,7,1,13,1,11,1,17,1,16,1,17,1,10,1,9,1,12,1,13,2,28,8,13,1,9,1,14,1,13,1,28,6,30,1,12,1,24,1,13,1,8,1,7,1,28,10,13,1,8,1,24,1,28,21,6,1,9,1,28,20,30,1,28,3,7,2,6,1,12,1,8,1,29,1,28,1,29,1,7,2,13,1,14,1,8,1,6,1,30,1,29,1,6,1,7,1,13,2,6,2,30,1,28,7,30,1,7,1,8,1,13,1,28,6,8,1,9,1,12,1,17,1,8,2,6,1,8,1,7,1,13,1,24,1,6,1,8,2,9,1,10,1,13,3,7,1,13,1,6,2,30,1,28,34,29,2,6,2,8,1,10,1,24,1,6,1,28,5,13,1,8,2,13,1,6,1,7,1,28,1,30,1,28,1,7,1,28,1,29,2,6,1,13,1,6,1,29,1,28,1,29,1,6,1,28,1,6,1,30,1,6,1,7,1,13,1,12,1,17,2,16,1,17,1,9,1,28,17,6,1,29,2,7,1,30,1,6,2,30,2,28,8,13,2,8,1,9,2,11,1,9,1,16,1,11,1,16,1,11,3,9,1,11,1,16,3,11,1,16,1,9,1,16,2,12,1,16,1,9,1,11,1,9,1,11,1,9,2,8,1,9,1,8,1,9,3,11,1,9,1,11,1,9,5,11,1,16,1,17,1,16,1,17,1,10,1,6,1,11,1,9,1,11,1,16,1,6,1,9,1,17,1,13,1,16,1,8,1,9,1,8,2,11,1,8,2,9,1,8,3,11,1,8,1,16,1,11,2,9,1,16,2,11,1,16,1,11,2,10,1,9,2,11,2,9,2,11,1,10,1,16,1,11,1,16,3,9,1,11,1,9,1,16,1,9,2,17,1,16,1,17,1,9,1,11,1,16,1,11,2,9,1,17,1,16,3,17,1,10,1,9,1,11,1,6,1,13,1,6,6,7,2,8,1,13,1,8,2,24,1,8,2,17,1,8,1,13,1,6,1,30,2,6,2,30,2,6,1,30,1,28,1,30,2,13,1,7,1,30,1,28,1,6,2,7,1,30,1,7,1,30,1,28,1,29,1,30,1,6,1,13,1,6,2,29,1,13,1,7,1,13,3,11,1,17,1,11,1,9,1,11,2,16,1,11,1,16,1,9,1,11,1,16,1,9,1,11,2,9,2,10,1,11,1,9,1,11,1,9,5,11,1,9,1,10,1,9,3,13,1,8,1,13,1,8,1,9,1,13,1,11,1,9,8,8,1,9,1,11,1,10,1,11,1,9,2,8,1,9,1,10,1,9,1,11,2,9,1,8,1,9,1,11,1,13,1,9,2,8,1,11,1,8,1,10,1,9,1,17,1,9,1,16,1,9,2,11,1,9,3,16,1,9,2,11,1,9,1,10,1,9,1,11,2,10,1,9,1,11,1,13,3,6,1,13,1,24,1,8,1,13,1,24,1,7,1,13,1,6,2,29,1,7,1,28,16,24,1,7,1,24,1,7,1,8,1,6,1,29,2,6,3,13,1,7,1,30,1,28,1,6,2,30,1,29,1,6,1,29,1,6,1,28,1,30,2,29,1,30,1,6,2,30,1,6,2,30,2,13,1,7,1,13,1,28,1,30,1,28,1,30,2,28,2,29,1,28,5,6,1,29,1,7,1,13,1,8,1,28,1,7,1,29,1,28,6,30,1,28,118,29,1,30,1,7,1,13,1,29,2,28,1,13,1,6,1,13,1,24,1,6,1,13,1,6,1,24,1,13,1,8,1,13,2,24,1,8,1,24,2,13,1,9,1,8,1,13,2,9,2,8,1,9,1,11,1,13,1,10,1,9,3,10,1,8,2,24,1,13,3,8,2,7,1,13,1,6,1,13,2,8,1,13,2,6,2,30,1,28,2,6,1,28,2,29,1,28,20,29,1,28,4,30,2,28,1,30,1,28,1,6,1,28,1,13,1,6,1,8,1,30,1,13,1,7,1,13,3,8,1,7,1,8,1,6,1,8,1,13,1,8,1,7,2,9,1,13,1,9,2,6,1,30,1,28,8,17,46,16,2,9,1,11,1,16,1,9,2,11,1,13,1,11,1,9,2,13,1,9,2,11,3,9,2,11,2,16,1,11,1,16,4,9,1,16,2,17,1,16,3,9,1,11,1,16,1,9,1,16,2,13,1,6,1,8,1,9,1,13,3,6,2,7,1,28,2,13,5,10,1,9,5,10,1,13,1,9,1,11,2,9,1,16,1,11,1,16,1,11,1,16,1,10,1,11,2,13,1,28,2,6,1,28,1,29,1,30,1,6,1,30,1,6,2,30,1,6,1,13,1,30,1,6,2,30,2,6,5,30,1,28,1,30,1,28,1,6,1,30,2,6,1,30,1,28,1,6,1,30,1,6,1,29,1,6,2,29,2,6,2,13,1,6,1,30,2,6,1,29,1,30,1,6,1,29,1,6,2,30,1,6,2,30,1,29,1,6,2,30,2,6,1,30,4,28,1,30,3,13,1,30,2,29,1,6,3,28,1,30,1,6,1,30,1,29,1,30,1,28,2,30,4,29,1,30,7,28,1,30,5,6,1,30,1,6,1,30,1,28,1,6,1,30,2,6,11,30,1,6,1,30,1,6,1,30,5,6,1,30,2,6,1,30,1,6,1,30,1,6,2,29,2,30,4,6,2,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,3,28,1,13,1,6,1,28,1,30,3,28,1,30,6,28,1,30,2,29,1,30,3,28,1,6,3,30,3,6,1,28,1,6,2,30,2,6,3,30,6,6,1,30,5,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,30,4,6,1,30,1,6,2,29,1,6,5,30,1,6,1,30,1,6,2,7,1,28,1,30,3,6,2,13,1,28,1,30,1,7,1,30,1,6,4,30,3,7,1,6,1,30,7,28,1,30,2,29,1,30,2,28,1,6,1,28,1,30,2,29,1,30,4,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,29,1,30,1,6,1,29,1,6,4,7,1,6,4,28,1,6,1,13,1,6,1,30,2,6,2,30,2,6,5,29,1,6,1,30,2,29,1,6,3,30,1,7,1,30,2,6,1,30,1,6,1,13,1,8,1,28,1,30,1,6,5,30,1,6,3,28,1,6,1,7,1,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,29,1,6,1,30,1,29,1,30,1,6,1,30,2,6,2,30,1,6,4,30,4,6,1,30,1,6,1,30,2,29,1,30,3,28,1,30,1,6,1,30,1,6,1,30,2,28,1,30,6,28,12,6,1,29,1,13,1,9,2,11,2,16,1,10,1,17,1,16,1,11,1,10,1,17,1,8,1,9,1,11,1,9,2,8,1,13,2,12,1,8,1,13,1,10,1,24,1,9,3,8,1,10,1,9,1,10,1,9,1,12,1,10,1,9,1,8,3,6,1,28,2,30,1,6,1,10,1,28,1,6,1,29,1,13,1,6,1,8,1,24,1,9,1,8,1,24,1,8,2,13,1,7,1,13,2,9,1,11,1,12,1,8,1,9,1,8,1,17,5,9,2,24,1,8,1,13,1,9,1,8,4,9,1,17,1,10,2,24,1,17,1,12,1,17,1,24,1,9,1,10,1,17,1,12,2,10,1,12,1,8,1,17,2,24,1,17,1,8,1,7,1,17,1,12,1,17,1,24,1,12,1,8,1,24,2,12,3,17,1,12,1,10,1,17,11,13,1,8,1,6,2,7,1,30,1,7,1,13,1,8,1,13,1,8,1,10,1,12,1,10,1,8,1,12,2,24,1,12,1,10,1,8,1,13,1,7,1,27,1,29,1,30,1,28,5,30,1,28,1,29,1,28,1,30,1,28,1,30,1,28,2,30,3,28,1,29,2,27,1,29,1,8,1,25,1,7,1,8,1,30,1,8,1,6,1,8,1,25,2,24,1,7,1,24,1,10,1,24,1,8,1,24,1,8,1,12,1,24,1,10,2,17,1,12,1,17,1,10,4,17,1,24,1,12,1,17,1,10,1,12,1,17,1,24,1,17,1,24,2,12,1,24,1,25,1,10,1,24,1,12,1,24,4,9,1,12,2,9,1,12,1,24,1,17,1,12,2,17,2,12,1,17,1,12,1,8,1,29,1,30,1,28,2,6,1,7,1,13,3,7,1,6,1,30,3,29,1,30,2,6,1,30,1,28,2,30,1,28,2,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,2,28,2,30,1,28,3,30,1,29,1,30,3,28,1,30,1,28,4,30,1,13,2,8,1,7,1,13,1,7,3,8,1,13,2,6,1,8,1,29,1,8,1,29,1,8,1,24,1,8,1,25,3,8,1,6,1,29,1,8,2,6,1,29,1,7,1,24,2,8,1,10,1,7,1,8,1,13,1,6,1,13,1,6,1,7,1,8,1,25,1,8,1,25,1,8,2,13,1,8,1,7,1,8,1,24,1,10,1,24,2,8,1,24,1,8,1,24,1,8,1,10,1,24,2,13,1,24,1,8,2,6,1,24,1,8,1,10,2,6,1,8,1,10,1,13,1,10,1,24,3,12,2,8,1,24,2,7,1,24,4,12,2,24,1,10,3,8,1,10,1,24,1,10,1,8,1,24,2,17,1,12,1,24,1,10,3,17,1,10,1,17,1,10,1,17,2,8,1,17,1,9,1,17,22,11,2,17,1,11,1,17,1,10,1,9,1,8,1,13,3,28,40,6,1,7,1,6,1,13,1,7,1,13,1,7,1,10,1,8,1,7,1,13,2,9,2,10,2,24,1,8,1,9,2,13,1,11,1,10,1,17,3,11,2,16,1,9,2,8,1,13,3,8,1,9,3,13,1,9,2,13,1,11,1,9,1,13,1,9,1,6,1,9,2,8,1,13,1,9,2,13,1,9,1,13,1,8,1,29,1,28,1,6,1,28,1,8,1,13,1,9,1,11,2,9,2,8,1,7,1,30,2,28,31,13,1,6,1,13,1,7,1,13,5,30,1,13,5,7,1,8,1,6,1,13,3,30,1,13,2,6,1,7,1,6,1,13,1,6,2,9,1,8,1,13,1,9,1,13,2,6,2,13,3,7,1,8,1,13,2,9,1,13,1,6,1,13,1,6,1,8,1,13,4,6,2,13,1,30,1,7,2,28,1,6,1,13,1,6,2,7,1,28,1,13,1,28,2,29,1,30,1,13,1,30,2,6,2,28,2,6,1,28,1,6,1,28,1,13,1,28,1,30,2,6,1,28,1,30,3,28,1,30,1,28,2,30,2,13,1,6,1,28,1,6,1,13,1,28,1,13,1,6,1,30,1,13,1,29,1,7,1,28,1,6,1,30,2,28,3,30,1,28,10,30,1,28,4,30,1,6,1,28,7,7,1,28,9,9,1,14,1,16,1,12,1,17,1,10,1,9,1,24,1,13,1,7,1,29,1,13,1,29,1,6,1,30,2,6,2,13,1,8,2,13,1,24,1,8,1,10,1,9,1,11,1,8,1,13,1,28,8,13,1,12,1,13,1,6,2,28,34,8,1,15,1,9,1,8,4,14,1,10,1,9,1,12,1,7,1,28,1,13,1,6,1,30,1,29,1,7,1,8,1,9,3,13,1,28,4,29,1,6,1,9,1,24,1,13,1,30,1,28,2,30,1,6,2,13,1,24,2,9,1,17,1,11,1,10,1,6,1,29,1,28,1,6,1,28,1,9,1,11,1,17,1,30,2,28,1,13,1,24,2,7,1,28,13,30,1,28,34,30,1,8,1,11,1,8,1,29,1,28,2,}, {29,1,28,2,30,1,28,30,30,1,13,5,9,1,11,2,17,1,11,1,9,1,11,1,6,2,30,1,28,2,30,1,28,4,6,2,12,1,8,1,28,5,30,1,7,1,24,1,9,1,8,2,30,1,28,10,30,1,9,1,7,1,28,20,30,1,9,1,28,23,6,1,29,1,30,1,6,2,12,1,29,1,28,3,6,1,30,1,6,1,9,2,6,1,30,1,6,1,30,1,6,1,8,1,13,1,30,1,6,1,28,9,13,1,6,1,13,1,28,1,30,1,28,4,6,1,24,1,9,1,6,1,24,1,8,1,7,1,13,1,7,1,6,1,8,1,13,1,24,3,10,1,8,1,7,1,29,1,30,1,13,2,8,1,28,34,30,1,29,1,13,1,29,1,28,1,24,1,10,1,9,1,29,1,28,5,8,1,13,1,8,3,6,1,28,1,6,2,28,1,29,1,6,1,28,1,13,1,28,1,6,1,8,1,13,1,29,1,28,1,6,1,30,1,6,1,13,1,8,2,10,1,12,1,17,2,14,1,9,1,28,17,6,1,30,3,28,1,6,1,28,1,29,1,30,2,28,7,8,3,13,1,9,1,11,1,9,1,11,1,9,1,11,1,16,1,10,1,16,2,9,1,16,2,9,2,11,2,9,1,11,1,9,2,11,1,16,2,9,2,8,2,9,2,8,1,9,4,13,1,9,3,13,1,9,1,16,1,13,1,10,1,11,2,16,1,17,1,10,1,9,1,11,2,9,1,11,1,9,3,8,1,9,2,13,1,9,2,11,1,10,2,16,1,9,1,11,2,9,3,11,1,9,4,16,2,9,1,16,1,10,2,16,2,9,3,11,1,17,1,11,1,9,1,17,1,13,1,17,1,9,1,17,1,16,2,17,1,11,2,17,1,9,1,17,1,16,1,11,1,17,2,11,3,8,2,9,2,6,1,30,2,6,1,30,2,13,1,6,1,29,1,6,1,13,1,8,2,13,1,9,2,13,1,17,1,10,1,13,1,30,1,29,1,6,1,29,1,6,1,28,1,6,1,30,4,6,2,30,1,6,1,13,1,28,1,6,1,29,1,28,2,30,1,28,1,29,1,30,3,6,1,28,1,29,1,13,2,6,2,13,1,11,1,16,1,11,2,16,4,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,11,1,8,1,10,1,9,1,11,1,9,1,8,1,9,1,11,1,8,1,10,2,9,3,11,1,9,2,11,1,13,1,9,1,8,3,11,1,9,2,13,1,11,1,9,1,10,1,11,1,9,5,10,1,9,3,10,1,9,2,11,1,10,2,9,2,11,1,10,1,9,1,11,1,9,3,10,1,9,1,11,1,9,1,11,1,8,1,11,1,9,2,11,3,9,5,11,1,10,1,8,1,13,1,9,1,13,3,24,1,9,1,13,1,7,1,13,2,6,1,7,1,30,1,28,16,24,1,10,1,8,1,13,1,7,1,6,1,7,1,30,1,7,1,28,1,7,1,30,2,29,1,30,3,29,1,30,2,28,1,30,1,29,1,6,1,29,2,6,1,30,2,8,1,6,2,29,1,6,1,29,1,28,1,30,1,28,1,6,1,28,1,29,1,28,1,30,1,6,1,28,7,30,1,28,1,7,1,8,1,7,1,8,1,29,1,30,3,28,122,7,1,6,1,30,1,8,1,28,1,24,1,6,1,13,2,29,1,7,2,6,1,13,1,6,1,13,2,8,2,13,2,8,1,13,2,9,3,13,1,8,1,9,1,13,1,9,1,10,1,9,1,13,1,8,1,12,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,13,2,7,1,24,1,13,3,8,1,7,1,6,1,13,2,7,1,28,9,30,1,28,24,6,1,28,1,30,1,29,1,30,1,28,1,6,2,30,1,13,2,6,2,7,1,29,1,8,1,9,1,6,1,13,3,8,1,13,1,9,1,13,1,8,1,30,2,28,9,17,26,12,2,17,2,11,1,17,1,12,2,17,13,16,1,9,1,11,2,13,1,9,1,13,1,9,2,13,1,9,3,13,1,9,1,11,1,9,2,16,3,11,5,16,2,17,2,16,2,11,1,9,4,8,1,9,2,13,1,6,1,8,1,13,3,7,1,6,4,28,2,29,1,13,3,6,1,13,1,6,1,30,1,13,1,9,4,10,1,8,1,17,1,16,5,9,1,16,1,6,1,28,2,30,1,6,1,30,7,6,1,30,1,6,5,13,2,6,2,13,1,6,4,30,1,6,1,30,1,6,2,30,2,6,1,29,1,28,1,6,3,29,1,30,1,6,1,30,2,28,1,6,3,30,1,6,2,30,1,29,1,28,1,30,2,6,6,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,1,6,1,28,1,9,1,6,2,30,1,6,1,30,1,6,2,30,2,6,1,30,1,28,1,6,1,30,2,6,1,30,1,28,1,29,1,28,1,30,2,28,1,30,13,6,1,30,1,6,1,30,2,6,2,30,1,6,1,30,1,29,1,30,1,6,2,28,1,6,1,30,1,6,1,30,2,28,1,29,1,30,3,29,1,30,2,6,1,30,2,6,3,30,5,13,1,29,1,30,1,6,6,30,1,6,1,28,1,30,1,28,1,30,2,29,1,28,3,30,1,28,1,6,1,30,5,28,1,30,1,6,1,13,1,6,2,30,1,29,1,30,1,6,3,30,1,6,6,30,2,13,1,6,2,13,1,6,1,30,1,7,1,6,2,30,4,6,1,30,2,6,2,30,1,6,1,30,3,13,1,30,1,6,7,30,1,6,1,30,2,6,1,28,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,1,6,3,28,1,6,1,30,1,6,1,30,1,29,1,30,1,28,1,30,3,29,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,6,1,29,1,30,1,29,2,6,1,13,1,29,1,6,1,13,1,30,1,6,1,29,1,30,1,29,1,30,1,29,1,6,1,28,1,30,3,7,1,6,6,30,2,29,1,6,3,29,1,30,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,7,1,30,1,6,2,29,1,6,1,30,1,6,1,30,1,6,2,29,1,6,1,30,1,6,3,29,1,13,1,8,1,28,1,13,1,6,1,30,1,6,3,30,1,6,4,30,2,29,1,30,1,6,2,30,1,29,1,28,1,6,2,30,1,6,1,30,2,6,2,30,1,29,1,6,1,30,4,6,1,30,9,6,2,29,1,30,1,6,1,30,2,28,1,6,1,30,4,6,4,28,11,8,1,13,2,30,1,6,1,13,2,17,2,11,1,16,1,11,1,12,1,17,1,10,1,17,1,8,1,11,1,16,1,11,1,8,1,9,1,8,1,9,1,24,1,13,1,9,1,17,1,9,1,10,1,11,1,13,1,10,1,12,1,9,1,10,1,9,1,10,1,11,1,17,1,10,1,9,2,6,1,28,2,30,1,6,1,9,1,30,1,7,1,30,1,8,1,7,1,24,1,9,1,24,1,13,1,8,1,13,1,6,1,13,2,6,1,13,1,8,1,7,1,17,1,9,1,8,2,9,1,17,2,12,1,17,1,12,1,9,1,17,1,9,1,24,1,10,1,24,2,8,1,10,1,12,1,17,1,24,1,9,1,17,2,12,3,24,1,17,1,12,1,24,4,8,1,24,4,8,1,24,3,10,1,24,1,8,1,24,3,12,1,24,2,17,1,24,1,17,1,12,2,17,10,13,1,28,2,30,1,13,1,24,2,10,1,24,1,12,1,10,1,17,1,24,1,17,1,12,1,17,1,12,1,24,1,8,1,7,1,8,1,6,1,7,1,30,1,28,1,30,1,28,2,30,1,28,2,29,1,28,5,30,2,28,1,30,1,28,2,6,1,30,1,6,1,25,1,30,1,7,1,6,1,8,1,7,1,25,1,29,1,8,1,25,1,8,1,7,1,8,3,10,1,24,1,17,1,24,1,17,2,12,1,24,1,12,1,24,1,12,1,17,1,12,1,24,1,17,1,24,1,12,3,9,1,10,1,24,2,12,1,24,1,17,2,10,1,24,1,10,1,24,3,8,1,24,1,10,1,24,3,12,1,10,1,12,1,9,1,17,1,12,2,17,2,12,1,8,1,6,1,30,1,29,1,30,2,6,1,8,2,13,1,6,1,30,2,6,1,30,6,28,2,30,1,28,1,30,1,28,5,30,3,6,1,28,1,30,1,28,1,30,1,28,5,30,1,28,3,30,1,28,1,30,3,6,1,30,3,28,1,30,2,28,2,9,1,13,1,8,1,13,1,8,1,7,2,8,1,7,1,8,2,7,1,6,1,8,1,25,1,8,1,25,1,24,1,25,1,8,2,6,1,24,1,6,1,25,1,6,1,26,1,6,1,7,1,24,1,7,1,24,2,13,1,24,1,13,1,8,3,7,1,6,2,13,1,8,1,24,4,8,1,13,1,8,3,24,1,8,1,10,2,24,1,10,1,13,1,24,3,8,1,13,1,25,1,8,2,24,1,13,1,10,1,6,1,8,1,24,1,8,1,9,1,24,1,8,2,12,1,10,1,12,1,10,1,9,1,12,1,8,2,7,1,9,1,8,2,24,1,12,1,24,1,12,3,7,1,24,2,6,1,10,1,8,1,24,1,12,1,10,1,12,2,24,1,9,3,12,1,24,4,12,1,9,2,12,1,17,1,12,1,17,9,12,1,10,1,9,1,17,6,12,2,11,4,17,1,9,1,13,3,6,1,28,40,7,1,13,1,9,1,13,1,8,1,7,1,13,3,9,1,8,1,24,1,8,2,10,1,11,1,13,1,8,1,9,1,8,1,9,2,17,3,12,1,17,1,9,2,8,1,9,1,8,1,13,4,8,1,9,2,13,1,9,3,13,1,9,1,8,1,13,5,9,1,13,5,6,2,30,1,28,1,13,1,8,1,9,1,16,1,13,1,9,1,13,2,8,1,30,1,28,32,13,3,9,1,13,5,6,1,8,1,13,4,6,1,13,1,6,1,30,1,7,1,13,2,7,1,9,1,8,1,13,1,29,1,13,1,8,1,13,2,8,1,13,1,7,1,13,1,8,1,30,1,8,1,7,1,13,2,9,1,13,3,9,1,13,2,9,1,8,1,9,2,10,1,7,1,9,1,8,1,13,1,6,2,7,1,6,2,13,1,30,1,9,1,7,1,13,1,8,1,13,1,6,1,13,2,7,1,6,2,29,1,30,1,28,1,6,1,30,1,6,1,30,2,28,1,13,1,28,1,29,1,28,2,30,1,6,1,30,3,28,1,6,1,28,3,6,1,30,3,29,1,6,1,30,1,13,1,6,2,13,1,6,2,13,2,28,5,30,1,28,11,6,1,28,2,6,1,28,1,30,1,28,1,30,1,28,3,30,2,6,1,28,2,30,1,28,5,11,1,14,1,17,2,12,1,10,1,24,1,6,2,13,1,7,1,6,1,29,1,6,1,28,1,30,1,6,1,30,1,7,1,29,1,7,1,8,1,24,1,8,1,9,2,8,1,9,1,13,1,28,7,6,1,24,1,9,1,8,2,28,35,13,1,15,2,9,1,13,2,9,1,10,1,11,1,9,2,13,1,6,1,29,1,30,1,29,2,13,1,24,1,12,1,9,2,6,1,28,4,30,1,13,1,10,2,7,1,29,1,30,2,29,1,13,1,28,1,8,2,10,1,8,1,12,1,17,1,9,1,7,1,30,2,28,1,6,1,11,1,9,1,24,1,28,1,30,1,28,1,8,1,9,1,24,1,29,1,28,14,30,1,29,1,28,33,24,1,17,1,9,1,30,1,28,2,}, {6,1,30,2,29,1,28,13,30,1,28,15,30,1,6,1,24,1,6,1,9,1,13,2,9,2,17,1,11,1,10,1,9,2,13,2,30,1,28,5,29,1,28,1,6,1,13,1,15,1,13,1,28,6,13,1,8,1,24,1,8,1,13,1,6,1,28,10,29,1,24,1,8,1,28,20,13,1,28,26,29,1,7,1,8,1,12,1,9,1,7,1,30,1,28,1,29,2,8,1,24,1,12,1,30,1,28,1,29,1,30,1,6,1,13,2,29,1,6,2,28,8,13,3,29,1,28,5,13,1,8,1,17,1,10,1,8,2,29,1,8,2,24,1,13,1,8,2,10,1,24,2,8,1,13,2,8,1,13,1,6,1,8,1,30,1,28,31,30,1,28,1,30,1,13,1,6,1,29,2,13,1,17,1,8,1,29,1,28,5,13,1,17,1,8,2,7,1,6,2,28,1,30,1,28,2,6,1,29,1,6,3,29,1,30,2,6,1,29,2,8,1,7,1,13,1,24,1,8,1,17,4,9,1,28,17,6,1,28,1,6,1,29,1,28,1,29,1,30,1,28,10,7,1,9,1,13,1,9,4,16,1,9,1,11,1,9,2,11,1,9,1,16,1,9,1,11,1,9,3,16,2,10,2,13,1,11,1,10,1,9,3,8,1,10,1,8,1,9,1,13,1,11,1,13,1,9,1,16,1,11,1,16,1,11,1,9,2,17,1,9,1,11,3,8,1,11,2,9,1,11,1,9,1,11,1,9,3,11,1,9,1,13,1,9,2,10,1,13,1,8,1,11,1,16,1,11,1,10,1,9,1,10,1,9,1,16,1,11,1,9,1,16,1,10,1,9,1,11,3,9,1,11,1,16,1,9,1,11,1,9,4,11,1,9,2,11,1,16,1,9,2,17,1,11,1,10,1,16,1,9,1,17,1,9,1,16,1,11,1,17,1,11,2,10,1,8,1,17,1,10,1,11,1,9,1,10,2,11,1,10,1,8,1,6,1,29,1,6,3,7,1,6,2,13,2,8,2,7,1,24,1,9,2,10,1,9,1,6,1,13,1,30,2,6,1,29,1,30,1,28,1,13,1,30,1,13,1,6,2,13,1,29,2,6,1,28,1,29,2,28,1,7,1,6,1,30,1,28,1,29,2,6,2,28,1,29,1,28,1,13,1,6,1,29,1,13,1,16,1,17,1,9,1,11,3,9,1,16,2,11,1,16,1,11,1,16,1,9,1,11,1,16,2,9,1,16,1,9,1,11,1,9,5,8,1,9,1,16,1,9,1,11,1,9,4,13,1,8,1,9,3,8,1,13,1,9,1,13,1,10,1,9,2,11,1,9,1,11,1,10,1,9,5,10,1,9,1,11,1,9,1,13,1,8,1,9,1,13,1,11,1,10,1,9,3,16,1,9,3,11,1,9,1,11,1,10,1,9,1,13,1,9,1,11,1,10,1,11,1,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,3,13,2,9,1,6,1,13,1,8,1,13,1,24,1,8,1,13,2,6,1,29,1,28,1,30,1,28,16,8,1,9,1,24,1,7,1,6,1,7,1,29,1,7,1,28,2,6,2,28,1,6,1,30,1,29,1,28,1,6,1,30,1,7,1,29,1,30,1,28,1,6,1,30,1,28,1,29,1,6,1,29,1,6,1,29,1,30,1,13,1,6,2,30,1,6,1,29,3,6,1,29,1,30,2,28,1,30,1,28,8,30,1,8,1,13,1,6,1,13,3,6,1,13,1,28,1,30,1,28,5,30,1,28,112,7,1,28,1,29,1,24,1,29,1,13,1,6,1,13,1,6,1,13,3,8,1,6,1,8,1,13,1,8,1,13,3,8,1,6,1,9,1,13,3,8,1,6,1,8,1,13,1,8,1,10,1,8,1,13,1,9,2,12,1,8,2,13,1,6,1,8,2,9,1,13,1,6,1,7,1,13,1,7,1,13,1,8,1,6,1,8,1,7,2,30,1,7,1,28,1,29,1,28,1,29,1,28,24,30,1,28,6,30,1,28,2,30,2,28,1,30,2,7,1,30,1,6,2,13,4,7,1,13,1,8,1,13,2,9,2,13,1,9,1,6,2,28,1,30,1,28,7,17,19,16,1,17,5,9,1,17,2,12,1,17,2,10,1,12,1,17,14,9,6,13,1,9,3,13,2,9,5,11,1,9,1,11,1,9,1,11,1,16,3,9,1,16,3,17,1,11,1,16,1,11,1,10,1,9,3,11,1,16,1,9,1,13,1,7,1,13,4,6,2,13,1,6,2,13,1,28,1,30,1,28,2,13,2,6,2,13,1,6,1,8,3,9,1,10,1,11,1,17,1,16,2,10,1,9,4,28,1,6,1,30,5,6,1,30,3,6,3,13,1,6,2,7,1,6,3,13,1,29,1,6,1,13,1,6,1,28,2,6,2,30,1,6,1,28,1,30,2,6,1,30,1,6,1,30,1,28,1,29,1,6,1,30,1,6,4,30,6,6,1,7,1,6,1,29,1,30,1,6,1,29,1,28,1,6,2,30,3,6,1,30,2,28,1,30,1,28,3,17,1,13,1,28,1,6,1,30,1,6,1,30,1,28,1,30,2,28,1,6,2,28,1,30,1,28,1,30,2,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,7,29,1,30,1,6,2,30,1,6,3,30,4,6,2,30,1,6,2,29,1,30,1,6,1,30,4,6,2,28,1,30,4,6,1,30,1,6,5,30,1,29,1,30,3,6,1,30,1,6,6,30,1,28,1,6,1,30,2,6,1,30,4,6,1,30,2,6,1,30,1,29,1,30,3,29,1,30,1,28,1,6,1,13,1,30,1,6,1,30,1,13,1,30,1,6,2,30,1,6,3,30,1,13,1,6,7,7,1,29,1,13,1,7,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,13,1,30,2,6,1,28,1,13,1,6,1,13,3,6,6,13,1,30,2,7,1,30,1,6,1,30,1,6,1,30,2,7,1,6,2,13,1,30,1,6,2,30,1,6,5,29,1,6,1,30,4,6,1,30,2,28,1,30,5,29,1,6,1,30,1,6,1,30,1,28,1,29,2,30,1,28,1,29,1,6,1,28,1,6,1,29,1,30,2,28,1,30,1,28,1,29,1,6,2,13,1,30,2,7,1,29,1,6,1,13,1,6,1,7,1,6,2,30,3,6,5,30,1,13,1,6,3,30,2,6,4,30,1,6,1,30,1,6,2,30,1,6,1,29,1,6,1,30,1,6,1,30,3,9,1,13,1,8,1,13,1,7,1,30,1,6,1,30,1,6,1,28,1,6,1,30,1,29,1,30,2,6,2,30,1,6,1,30,1,6,1,29,1,30,1,6,1,30,4,6,1,13,1,30,2,29,1,28,1,13,1,30,2,6,1,30,1,28,1,6,1,30,1,28,2,30,1,28,1,6,1,29,1,30,3,28,1,6,2,30,5,28,1,30,1,6,1,13,1,6,1,28,1,29,1,30,1,28,8,30,1,9,3,8,2,9,2,11,1,12,1,16,1,10,1,17,1,12,1,11,2,10,1,9,2,12,1,9,5,8,1,13,1,11,2,12,1,9,1,24,1,8,1,9,1,10,2,12,1,9,2,12,1,17,3,8,1,13,1,29,1,13,1,6,1,9,1,11,1,30,1,29,1,6,2,7,1,10,1,8,1,24,1,8,1,13,1,8,1,13,1,8,2,24,1,13,3,8,1,11,1,24,1,10,1,13,1,9,1,17,3,11,1,10,1,12,1,24,1,10,2,24,1,9,1,24,1,9,1,17,1,12,2,17,2,12,1,10,1,17,1,24,1,17,1,8,1,12,1,10,1,12,2,10,2,24,1,10,1,24,2,8,1,25,1,8,1,24,1,12,1,25,2,12,2,10,1,25,1,24,3,10,2,13,1,12,2,17,10,24,1,7,1,6,1,9,1,17,1,24,1,12,3,17,1,10,1,17,1,24,1,10,1,12,1,24,1,10,2,24,1,25,1,8,1,29,1,28,7,30,1,28,2,27,1,28,3,30,1,28,3,29,1,28,1,30,1,25,1,28,1,8,1,6,1,29,1,25,1,6,2,7,1,8,1,25,2,10,1,25,1,8,1,24,2,12,1,24,2,10,1,17,1,24,1,12,1,10,1,12,1,10,1,12,2,10,1,12,2,10,1,12,3,10,1,24,1,10,1,24,1,10,1,12,1,10,1,24,5,10,1,24,1,6,1,24,1,10,2,12,1,10,1,12,1,10,3,12,1,11,1,12,1,17,2,12,1,30,4,6,2,7,1,8,1,30,1,6,1,30,1,29,1,30,1,28,1,30,1,28,3,30,1,28,8,30,6,28,1,30,1,28,1,30,3,28,9,30,1,28,1,30,4,29,1,30,1,28,1,30,1,28,3,9,1,8,1,13,2,6,1,8,3,7,1,24,1,30,1,7,2,8,1,7,1,8,1,24,1,6,1,8,1,6,1,25,1,29,1,25,1,26,1,29,1,25,1,29,1,24,1,8,1,24,1,12,1,13,1,7,2,8,1,7,1,13,3,30,1,7,1,8,1,13,1,7,1,12,1,8,1,25,1,13,1,8,1,24,4,8,1,7,1,24,3,12,1,8,1,13,1,24,1,7,1,8,4,24,1,8,1,10,1,13,1,8,1,13,1,7,1,8,2,10,1,8,1,12,1,9,1,12,1,24,3,10,2,12,1,10,1,24,1,13,1,8,1,10,1,24,1,10,1,24,1,8,1,12,1,24,1,12,1,24,1,8,1,24,2,13,1,12,1,10,1,24,1,8,1,10,2,9,1,17,1,24,1,12,2,10,1,17,1,10,1,17,1,12,1,17,2,12,1,17,2,12,1,17,7,30,1,13,1,17,1,12,1,17,5,12,1,17,2,11,4,9,1,13,3,6,1,28,37,7,1,6,1,11,1,13,2,9,1,13,1,9,1,24,2,13,1,24,1,10,2,9,1,11,1,9,1,10,1,7,1,8,1,13,1,10,3,17,3,11,3,9,2,13,2,9,1,8,1,13,5,9,1,13,1,10,1,9,1,8,1,13,4,9,1,8,1,13,2,9,1,13,1,8,1,6,2,30,2,28,2,13,1,9,1,11,1,9,3,13,2,8,1,28,1,30,1,28,31,13,2,8,2,13,4,6,1,13,2,7,1,13,2,9,1,6,1,8,1,13,1,8,1,9,1,13,1,8,1,6,1,13,2,8,1,13,1,7,1,13,6,8,2,13,3,8,1,7,1,13,2,8,1,13,2,6,1,13,2,7,1,8,1,9,1,13,1,8,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,28,1,6,1,8,1,13,1,6,1,13,4,6,2,8,1,13,1,7,1,6,2,30,3,6,1,28,2,7,1,13,1,6,1,30,1,13,1,30,1,6,3,28,1,6,1,28,5,30,1,28,1,13,1,6,4,30,1,8,1,13,1,6,1,13,5,6,1,28,1,30,1,28,11,29,1,6,3,29,1,30,3,28,5,30,2,29,1,28,3,30,1,28,4,10,1,12,1,16,1,12,2,11,1,8,1,13,2,6,5,30,2,6,1,28,1,8,1,6,1,8,2,13,1,9,2,11,1,17,1,11,1,9,1,28,6,30,2,10,1,12,1,11,1,8,1,29,1,28,34,13,1,12,1,11,1,9,1,8,1,7,1,9,1,10,2,9,2,6,2,29,1,30,1,29,2,13,1,8,1,13,1,24,1,8,1,13,1,28,3,13,1,28,1,13,1,9,1,12,1,7,1,30,1,28,3,6,2,13,1,24,1,9,1,12,1,10,1,17,1,8,1,6,2,28,1,30,1,8,1,10,1,12,1,24,1,6,1,28,1,30,1,7,1,24,2,28,15,30,1,28,1,6,1,29,1,28,7,30,1,28,22,30,1,9,1,10,1,8,1,29,1,28,2,}, {29,1,28,31,30,2,13,1,8,1,13,1,8,3,9,1,17,1,12,1,17,1,11,1,9,2,8,1,29,1,28,7,30,1,29,1,7,1,12,1,9,1,28,7,8,3,13,1,6,1,30,1,28,8,30,1,29,1,10,1,6,1,28,20,29,1,28,23,30,1,29,2,28,1,13,1,8,1,9,2,13,1,30,2,13,1,30,1,6,1,9,1,8,1,30,1,28,3,6,1,7,2,13,1,6,1,30,2,28,7,29,1,8,1,9,1,6,1,28,5,30,1,8,1,17,1,24,2,13,1,6,1,8,1,13,1,8,2,13,1,6,1,8,1,24,1,12,1,8,1,13,2,7,1,29,1,7,1,6,1,28,33,30,1,28,1,13,1,30,1,28,1,29,1,8,1,10,1,8,1,7,1,28,5,8,1,15,1,9,1,8,1,13,1,8,1,13,1,6,1,28,1,6,1,28,1,29,1,6,2,30,1,6,1,28,1,6,1,30,2,6,3,7,1,9,1,13,1,11,1,12,1,17,3,10,1,28,17,13,1,28,1,6,2,30,2,6,1,28,1,30,1,28,8,30,1,8,1,13,1,8,1,10,1,9,1,11,1,16,1,9,1,10,1,11,1,17,1,11,2,9,1,16,1,11,1,16,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,1,11,1,9,3,11,1,13,1,9,1,11,1,10,1,16,3,9,1,16,2,9,2,11,3,9,1,11,1,10,1,11,1,9,2,10,1,13,1,9,1,13,1,11,1,13,1,9,1,8,1,13,1,9,3,11,1,16,1,9,1,16,1,11,1,9,1,11,1,8,1,16,2,9,1,16,1,9,1,17,1,11,1,17,1,10,1,9,1,17,1,11,1,17,1,11,2,9,3,10,1,9,2,13,1,9,1,11,2,10,1,17,1,11,1,9,1,16,1,11,5,16,1,11,4,9,1,11,1,10,1,9,1,11,1,8,1,13,1,6,2,29,1,13,1,6,1,28,1,13,1,7,1,6,1,8,1,13,1,8,2,7,1,9,1,11,1,9,2,13,2,30,1,29,2,30,5,7,1,29,1,30,2,6,1,28,3,30,2,28,1,29,1,28,3,6,1,28,1,30,1,6,1,29,1,6,1,30,1,6,2,30,1,13,1,17,2,11,3,9,1,16,1,11,2,16,2,9,2,16,2,11,2,9,1,11,1,9,1,11,1,10,1,9,2,10,1,8,1,16,1,9,1,11,1,9,1,11,1,8,1,9,5,8,1,13,1,11,1,10,1,9,1,11,1,10,1,9,1,10,1,11,1,9,1,16,1,9,1,12,1,9,2,13,1,11,1,9,2,8,1,11,1,9,2,8,1,9,1,10,1,9,3,8,1,10,1,9,1,11,1,9,1,10,1,11,4,9,2,11,2,9,2,11,1,9,2,11,1,9,1,11,1,8,1,10,1,9,1,11,1,10,1,9,1,13,3,9,2,7,1,13,1,8,1,7,1,6,2,29,1,6,1,28,15,8,1,9,2,8,1,13,1,29,2,30,1,28,1,29,2,30,1,6,1,30,1,29,1,30,1,28,1,6,1,30,1,7,1,29,1,6,2,29,1,6,2,29,1,6,2,30,2,13,1,24,1,30,3,29,1,7,1,28,2,30,1,6,2,28,1,6,1,30,1,28,11,29,1,13,1,7,2,8,1,13,1,8,1,6,1,28,1,30,2,28,115,30,1,28,1,13,1,29,1,30,1,6,1,7,1,13,1,29,2,7,2,13,2,24,1,7,2,13,2,9,1,13,3,9,1,13,1,8,1,24,1,7,1,13,1,8,1,13,1,8,1,9,2,8,1,9,1,7,1,8,3,13,1,7,3,13,1,6,1,7,1,8,1,7,1,8,1,7,1,13,2,9,1,13,1,6,1,30,1,7,1,28,1,30,1,28,22,30,1,28,9,29,1,28,3,6,1,30,1,28,1,6,1,7,1,30,1,29,1,13,4,6,2,8,1,13,1,8,1,7,1,13,1,9,1,13,1,8,2,13,1,6,1,28,9,17,25,9,1,17,4,12,1,17,2,9,1,17,1,16,1,17,13,9,8,13,1,11,1,9,3,11,6,16,2,9,2,11,2,16,2,17,1,16,1,9,2,10,1,11,1,10,1,9,1,11,2,6,1,13,1,6,1,13,4,6,6,7,1,28,3,6,1,7,1,30,1,6,1,7,1,6,2,13,1,9,1,11,1,9,1,17,1,16,2,9,1,16,1,9,1,13,1,6,1,28,1,6,1,30,3,6,1,30,3,6,1,30,1,6,1,13,1,6,1,13,1,30,1,6,3,30,1,13,3,30,2,6,2,28,1,13,1,6,2,30,1,6,1,30,3,29,1,30,2,6,1,29,1,6,2,30,1,6,3,30,5,6,1,30,1,6,1,30,3,29,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,1,28,2,30,2,28,1,16,1,13,1,30,3,6,1,30,4,28,1,30,3,28,1,30,1,6,1,30,1,29,2,30,3,28,1,30,1,28,2,30,2,6,2,30,1,13,1,6,2,28,1,6,1,30,1,6,2,28,1,6,3,28,1,6,1,30,1,6,2,7,1,29,2,30,1,28,1,6,2,30,3,6,1,28,1,6,2,28,1,30,1,6,2,30,1,6,1,30,3,28,3,30,1,29,1,6,1,30,1,29,1,30,1,6,2,29,1,6,1,28,1,30,2,6,1,29,1,30,1,29,1,30,4,28,1,30,2,6,1,30,1,6,1,29,1,30,3,29,2,30,3,6,1,30,1,29,1,6,2,30,2,28,1,6,4,28,1,30,1,6,10,30,4,28,1,6,1,28,1,30,1,6,7,13,1,30,1,6,1,7,1,13,1,30,2,6,1,7,1,30,2,6,2,30,1,6,3,28,1,6,1,13,1,7,1,30,1,6,1,30,2,6,5,30,1,6,2,30,1,6,2,30,1,6,1,30,1,6,2,30,1,29,1,30,2,13,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,29,1,30,1,28,1,6,1,30,3,28,1,29,1,30,1,6,1,29,1,30,1,6,1,30,2,28,1,30,1,6,6,30,1,6,2,30,1,6,2,30,1,28,1,30,1,6,2,30,1,13,1,30,1,6,1,7,1,6,2,7,1,6,1,7,1,6,1,30,1,6,5,30,1,6,1,30,1,6,2,30,2,6,1,30,1,13,3,6,4,30,1,13,1,30,1,6,4,30,3,6,1,29,1,6,2,30,1,29,1,30,2,29,1,30,3,29,1,30,5,28,1,30,1,28,2,6,1,30,1,28,1,30,4,29,1,30,4,6,1,28,1,30,5,6,1,28,1,6,2,13,1,6,1,28,1,6,2,28,3,8,1,30,1,28,3,8,1,10,1,24,1,9,4,8,1,12,2,11,3,12,1,11,1,16,1,12,1,10,4,9,2,24,1,9,1,10,1,9,1,12,1,11,1,10,1,7,1,24,2,12,1,9,1,24,1,8,1,9,2,12,1,17,5,12,1,24,1,9,1,10,2,24,1,28,1,7,1,13,2,24,1,10,1,9,1,7,1,8,2,24,3,10,1,24,2,8,1,6,1,11,1,12,1,8,1,9,1,10,1,11,1,17,3,11,1,8,1,10,1,24,1,10,1,9,1,12,1,17,1,10,1,17,2,12,1,17,1,12,1,17,1,12,1,9,1,10,1,17,1,24,2,10,1,12,1,10,1,24,1,10,1,24,1,8,1,24,1,8,1,24,2,8,1,25,1,8,1,24,1,25,1,8,1,25,2,24,1,8,4,12,1,10,1,24,2,10,2,17,9,11,1,17,1,10,1,12,2,10,1,12,1,10,1,12,3,10,3,17,1,24,1,8,1,10,1,8,2,30,1,28,1,30,1,28,8,30,2,28,6,6,1,27,1,28,1,29,1,25,2,6,1,7,1,25,1,6,1,25,1,29,1,6,1,8,1,24,1,8,1,24,4,17,1,10,1,12,1,17,2,12,2,10,1,24,2,12,3,17,1,24,1,9,1,10,1,12,1,10,1,24,1,10,2,12,2,24,1,12,1,24,2,12,2,24,1,10,2,24,1,10,2,24,3,12,3,9,1,17,1,12,1,17,1,12,2,6,1,30,1,28,1,30,1,6,1,13,1,9,1,6,1,30,1,6,1,30,2,28,1,30,2,28,2,30,1,28,4,30,1,28,1,30,1,28,3,30,1,28,11,30,1,28,6,30,2,28,1,30,7,28,4,6,1,10,1,13,1,8,2,13,1,8,1,6,1,8,1,6,1,8,1,29,1,25,5,29,1,25,1,8,2,25,1,26,1,25,1,24,1,6,1,24,1,6,1,8,1,25,1,24,2,8,3,24,2,13,1,8,1,7,1,29,1,8,2,7,1,6,1,10,1,25,1,24,1,8,1,12,1,24,2,7,1,10,1,8,1,7,1,24,2,25,1,7,1,24,1,29,1,24,1,8,1,24,1,13,1,24,1,10,1,8,1,13,1,12,1,6,1,24,3,9,1,24,2,12,1,10,1,12,1,10,1,24,1,12,1,9,2,10,1,8,1,9,1,12,1,24,1,8,1,24,1,8,1,12,5,24,5,9,1,10,1,9,1,12,2,8,1,24,1,17,1,9,1,10,1,12,1,9,1,24,1,12,1,9,1,12,2,17,1,12,1,17,11,28,1,6,1,12,1,9,1,17,6,11,2,12,4,11,1,8,1,13,2,6,1,30,1,28,35,13,2,6,1,8,3,6,1,8,1,10,1,9,1,8,1,9,2,13,1,10,1,12,1,10,1,11,1,8,1,11,1,13,2,10,1,9,1,10,1,17,5,9,3,10,1,13,5,9,1,13,2,8,1,13,1,9,2,10,1,9,1,8,1,13,3,9,1,6,1,8,2,13,1,8,1,13,1,30,1,6,1,28,1,6,1,28,1,6,1,9,2,8,2,13,3,7,1,28,1,30,1,28,30,30,1,13,1,7,1,13,1,8,1,13,4,6,1,8,1,6,1,13,2,9,1,8,1,11,1,9,2,13,5,6,1,7,1,13,3,6,1,13,4,9,1,13,2,7,1,13,4,8,1,13,1,6,1,13,2,7,2,30,1,8,1,13,2,28,1,13,1,29,1,6,2,13,1,30,1,13,1,30,2,6,1,13,2,6,1,7,2,6,2,7,1,30,1,13,1,6,2,30,2,29,1,30,2,28,2,30,1,28,1,6,1,13,1,6,2,13,2,30,1,13,2,30,1,28,1,13,1,30,1,28,2,30,1,6,1,7,1,6,1,28,1,13,2,6,1,13,1,6,1,13,3,9,1,13,2,30,1,6,2,28,1,30,1,28,8,30,1,28,1,30,1,6,2,30,2,28,3,30,1,28,6,30,1,28,6,29,1,24,1,17,1,11,1,17,1,9,2,10,1,8,1,13,2,30,1,6,1,29,1,7,1,30,1,29,1,28,1,30,1,13,2,8,1,6,1,8,1,24,1,9,1,17,1,11,1,10,1,7,1,29,1,28,6,30,1,24,1,10,2,13,1,7,1,28,34,13,1,14,1,12,1,9,1,8,1,24,2,12,1,9,3,13,1,29,2,6,1,29,1,30,1,6,1,8,1,24,2,12,1,13,1,28,2,30,1,28,1,13,1,9,1,10,1,12,1,8,1,28,1,29,1,28,1,6,1,29,1,13,1,8,2,9,1,14,1,10,1,8,1,13,1,30,1,29,2,28,1,7,1,10,1,17,1,9,1,28,1,30,1,28,1,8,1,13,2,28,17,30,1,28,2,30,1,28,9,30,1,28,14,30,1,28,3,30,1,8,1,12,1,7,1,30,1,28,2,}, {28,12,30,2,28,17,6,1,28,1,7,1,8,1,13,1,8,1,7,1,13,1,8,2,17,3,12,1,13,1,8,1,9,1,13,1,28,7,30,2,8,1,12,1,8,1,28,6,29,1,13,1,7,1,13,1,29,2,28,10,30,1,8,1,13,1,28,18,30,1,28,27,29,1,30,1,6,1,24,1,12,2,9,1,28,2,29,1,6,2,24,1,15,1,6,1,28,1,29,1,30,1,6,1,29,1,6,3,29,1,28,8,6,1,8,1,13,1,7,1,28,6,17,1,15,1,8,1,12,1,8,3,24,1,8,2,13,1,8,2,9,1,17,1,13,2,8,1,6,2,7,1,6,1,28,34,30,1,29,1,6,1,29,2,8,1,24,1,13,1,6,1,28,5,8,1,9,1,10,1,8,1,6,1,7,1,28,1,29,1,28,1,29,1,7,1,6,1,30,1,6,2,30,1,7,1,30,1,28,1,29,1,30,1,6,1,13,1,24,1,8,1,9,1,12,1,17,4,15,1,28,17,6,1,30,1,28,1,29,1,6,1,28,12,6,1,13,1,9,1,8,2,11,2,9,1,11,2,9,3,11,1,9,1,16,1,9,1,11,1,9,1,16,1,9,2,16,1,9,2,16,1,9,1,16,1,9,2,16,1,11,1,9,2,8,1,9,2,13,1,17,1,16,1,17,1,11,1,17,1,16,1,17,1,16,1,11,1,17,1,11,1,10,3,11,1,16,1,9,1,16,1,11,2,9,1,11,1,16,1,9,1,11,1,9,1,11,1,8,1,10,1,9,1,16,1,9,2,11,2,10,1,11,3,16,1,17,1,8,1,11,2,16,1,11,2,16,1,9,1,16,4,11,1,9,2,8,1,11,1,16,1,11,1,9,1,11,1,9,2,11,2,9,1,11,1,9,2,11,1,17,1,9,1,16,1,11,1,17,1,11,1,16,1,11,1,16,1,11,1,17,1,8,1,13,1,6,1,29,1,13,1,30,2,6,2,30,1,6,1,13,1,8,1,7,1,9,1,13,2,24,1,11,1,9,2,30,1,29,1,6,1,30,1,28,1,30,2,7,1,30,1,7,1,30,2,29,2,6,1,30,1,6,1,28,3,30,1,28,1,30,1,28,1,30,2,29,1,28,2,30,1,6,2,13,1,6,1,13,1,8,1,17,1,9,1,10,1,11,1,9,1,11,3,16,1,17,1,10,1,11,2,9,1,11,2,9,1,11,1,10,1,9,1,11,1,9,2,11,1,10,1,9,3,10,2,11,1,9,2,8,1,9,4,16,1,13,1,10,1,9,1,16,1,11,1,13,1,9,5,8,1,10,1,11,1,9,1,13,1,9,1,10,1,9,3,11,1,8,1,9,2,11,1,10,1,9,2,10,1,16,1,9,1,11,1,9,1,10,1,11,2,9,1,10,1,11,1,9,1,11,1,9,3,11,1,9,2,10,1,9,4,11,1,13,1,9,1,13,1,8,2,6,1,13,1,7,1,13,1,8,1,29,1,13,1,30,2,28,15,24,1,12,1,9,1,8,1,13,1,7,1,6,1,30,1,28,1,30,2,6,1,28,1,30,1,28,2,30,1,29,1,28,1,6,1,7,1,29,1,6,1,28,1,13,1,29,2,6,2,8,1,29,1,6,1,28,1,30,2,28,2,6,2,29,1,28,3,30,1,28,1,30,1,28,13,7,3,13,2,29,1,6,2,28,11,30,1,28,107,30,1,6,1,7,1,6,1,7,1,6,1,7,1,6,2,13,1,8,1,7,1,13,1,29,1,6,1,13,2,9,1,13,1,30,1,7,1,6,1,13,2,8,1,13,1,7,1,8,1,13,2,9,1,8,2,13,1,8,1,9,2,8,1,13,5,6,2,7,1,6,1,7,1,24,1,7,1,13,1,7,1,13,1,24,1,6,1,29,1,6,1,30,2,28,34,30,1,6,2,28,1,6,1,13,1,6,4,7,1,13,1,6,1,13,1,8,1,13,1,6,1,8,1,13,3,9,1,13,1,30,2,28,7,13,1,17,27,16,1,17,2,15,1,17,2,12,1,17,15,10,1,9,2,11,1,9,1,16,3,11,5,9,3,16,1,11,1,9,1,11,3,16,2,17,2,16,3,9,5,13,1,9,1,11,1,13,1,6,1,13,1,8,1,30,1,13,1,6,1,29,2,6,2,30,1,6,1,7,1,6,3,9,1,28,3,6,1,30,1,29,1,9,1,13,1,8,1,10,1,9,1,8,1,13,1,30,1,28,2,30,1,13,1,30,5,6,1,30,1,29,1,30,3,6,1,30,1,6,2,30,1,6,6,13,1,6,2,30,1,6,1,30,1,6,2,30,1,6,2,30,1,6,1,30,1,28,1,30,2,28,1,30,1,29,1,6,2,29,1,6,1,29,2,6,1,30,3,6,2,30,1,6,1,30,3,29,2,6,4,28,1,6,1,28,1,6,1,30,3,28,2,30,1,13,2,29,1,28,1,6,1,28,1,30,1,6,2,28,1,6,1,30,2,28,1,6,1,30,3,6,1,30,2,6,1,30,1,6,7,30,2,13,1,30,2,6,4,7,1,6,4,30,1,6,1,30,3,29,1,6,1,30,5,28,1,30,2,6,2,30,2,6,1,30,2,6,1,30,4,29,1,30,3,6,2,30,1,6,1,29,1,30,2,6,1,30,4,6,1,28,1,13,1,30,5,6,4,30,4,29,1,30,1,6,2,28,1,30,1,6,2,30,2,6,1,30,2,7,1,6,3,30,1,6,1,30,2,6,4,13,1,6,2,13,1,6,3,29,1,30,1,28,1,30,4,6,1,30,2,6,3,7,1,6,5,30,1,13,2,6,3,28,1,6,1,30,1,6,3,30,2,6,1,30,2,13,1,30,2,6,1,30,2,6,1,29,1,6,1,30,1,6,6,7,1,6,1,30,1,6,1,30,1,6,2,30,2,6,1,30,1,6,1,30,4,6,1,28,1,6,1,30,3,6,1,30,1,6,2,30,2,6,1,30,1,29,1,30,1,6,2,30,1,29,1,6,1,29,1,6,1,29,1,6,1,13,1,6,4,28,1,30,2,6,1,30,3,6,2,29,1,6,1,13,1,6,1,30,2,6,6,29,1,6,2,30,1,29,1,6,1,30,2,29,1,28,1,6,1,9,1,13,2,6,1,13,2,6,1,28,1,30,1,28,1,6,2,29,1,6,1,13,1,28,1,6,2,29,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,13,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,4,6,2,30,2,29,1,30,3,6,1,28,1,29,1,28,1,30,4,28,1,30,1,29,1,6,1,13,1,28,1,30,2,28,1,30,1,6,1,7,1,8,1,13,1,6,1,30,1,13,1,17,1,9,4,8,1,11,1,9,1,12,1,10,1,8,2,12,1,10,1,12,1,10,2,9,1,12,2,24,1,9,2,10,1,24,1,9,1,12,1,9,1,11,1,8,1,9,1,12,2,24,1,8,2,13,1,11,1,12,1,17,4,11,1,12,2,9,2,8,1,13,1,29,1,7,2,13,2,24,2,13,1,24,1,8,1,9,1,8,2,9,1,12,1,9,1,13,1,6,1,13,1,12,2,9,2,12,2,17,1,11,1,9,1,10,1,9,1,24,2,12,1,17,2,12,1,17,1,12,1,9,1,17,1,12,1,17,1,10,2,24,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,24,4,25,1,24,1,8,1,25,1,8,1,25,1,27,1,30,1,8,1,25,2,8,1,25,2,24,1,8,2,10,1,8,1,24,2,10,1,12,1,17,1,12,1,17,9,12,3,24,1,12,1,10,2,24,2,10,2,24,1,10,2,8,1,24,1,8,1,6,1,29,1,30,1,28,5,30,2,28,1,30,1,29,1,28,2,30,1,29,1,28,3,30,1,6,1,28,1,29,2,6,1,7,1,25,1,8,1,7,1,6,1,8,2,24,1,10,1,8,1,24,2,12,1,24,1,17,1,24,1,12,1,10,1,12,1,10,1,12,2,17,1,12,1,10,1,9,1,17,1,10,1,17,1,12,1,10,1,24,1,17,1,12,1,10,2,24,1,10,1,12,1,8,1,10,1,24,3,10,1,8,1,10,2,12,1,24,1,10,2,24,1,12,1,17,1,12,2,9,1,12,2,13,1,6,1,7,1,30,1,6,1,13,2,30,1,28,1,30,1,6,1,30,1,28,4,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,8,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,6,30,8,28,1,30,1,28,1,29,1,28,1,9,1,8,1,7,2,29,1,6,1,8,1,7,1,8,2,25,1,13,1,6,1,29,1,24,1,25,2,8,1,25,1,29,1,6,1,25,1,24,1,8,1,25,1,8,1,25,1,8,2,25,2,6,1,8,1,25,1,29,1,24,1,6,1,24,1,13,1,29,1,7,1,6,1,13,2,24,1,12,1,8,1,24,1,8,1,25,1,24,1,25,1,7,1,8,2,13,1,8,1,25,1,24,2,13,1,8,2,24,1,8,2,13,1,12,1,8,1,10,1,24,1,8,1,13,1,8,1,24,2,12,1,10,1,24,1,8,1,12,3,24,1,8,1,24,1,7,2,12,1,10,1,24,1,13,1,24,1,8,2,24,1,10,1,12,1,24,1,12,1,24,1,10,2,24,1,10,1,24,1,12,1,8,1,10,1,17,2,12,3,9,1,8,1,12,1,17,1,24,2,17,1,12,1,17,11,11,1,28,1,30,1,11,1,17,1,12,1,17,6,12,2,11,1,17,1,10,2,9,1,13,1,8,1,13,1,28,37,6,2,8,1,6,1,13,1,9,1,13,1,24,1,9,1,8,1,13,1,9,1,8,2,24,1,12,1,11,1,9,1,8,2,9,1,12,1,11,1,17,3,11,1,17,3,10,1,13,4,8,1,13,2,9,1,13,1,10,1,13,1,9,1,8,1,13,1,9,1,13,2,8,1,13,2,6,1,13,1,8,1,13,2,8,1,13,1,6,1,29,1,28,1,6,1,30,2,8,1,9,1,8,1,9,1,13,2,7,2,28,1,30,1,28,31,13,1,8,1,13,2,8,1,13,1,6,1,7,2,13,3,8,1,13,1,6,1,9,1,7,1,13,3,6,1,9,1,13,2,7,1,13,1,7,1,13,1,6,1,13,1,9,1,7,1,13,2,8,1,13,3,6,1,7,1,13,1,9,1,13,2,9,1,13,1,6,1,13,1,6,1,30,1,13,1,29,1,6,1,8,1,7,1,6,1,13,1,6,1,7,1,30,1,28,1,30,2,13,1,6,2,7,1,13,1,30,1,6,1,30,1,6,1,13,1,6,1,13,1,7,1,28,2,13,1,29,2,6,1,28,2,6,1,30,2,6,1,13,2,30,1,13,1,6,1,30,2,13,1,30,2,6,1,28,1,7,1,6,1,13,1,30,1,13,3,6,1,13,1,8,1,6,4,13,3,6,4,28,6,30,1,28,4,29,1,30,3,28,9,30,1,28,6,30,1,9,1,10,1,12,1,9,2,12,1,8,2,13,2,30,1,6,2,29,1,30,2,6,1,29,2,6,1,13,3,9,1,12,1,11,1,16,1,11,1,8,1,28,8,8,1,10,1,15,1,9,1,30,1,28,34,9,1,14,1,15,1,9,1,13,2,9,1,17,1,16,1,8,1,9,1,13,1,29,1,13,1,6,1,29,1,6,1,13,2,10,1,17,1,12,1,7,1,28,1,30,2,6,2,17,1,9,2,13,1,28,1,30,1,28,1,7,2,13,1,24,1,9,1,15,1,9,1,12,1,10,1,8,1,7,1,6,1,28,1,6,1,24,1,9,1,10,1,24,1,6,1,30,1,28,1,6,1,11,1,13,1,28,14,30,1,28,5,30,1,28,28,30,1,9,1,11,1,13,1,28,3,}, {28,10,29,1,30,1,28,19,6,1,13,1,9,2,13,1,9,2,8,2,9,1,17,3,11,1,9,1,12,1,8,1,30,2,28,6,30,2,24,1,15,1,24,1,28,7,13,1,24,1,8,2,6,1,30,1,28,9,6,1,13,1,24,1,28,18,30,1,28,27,6,1,30,1,6,1,13,2,17,1,13,1,6,1,28,1,7,1,29,1,13,1,8,2,29,1,28,3,29,1,7,1,6,1,8,1,6,2,30,1,28,6,30,1,6,1,8,2,6,1,28,5,30,1,8,1,12,1,9,1,24,2,6,1,8,1,13,1,6,1,13,3,8,2,17,1,24,1,13,1,7,1,6,1,29,1,13,1,6,1,30,1,28,33,6,1,28,1,30,1,28,1,7,1,13,1,12,1,9,1,6,1,28,5,8,2,24,1,6,3,29,1,6,1,30,1,6,1,29,1,30,1,29,1,6,2,30,1,6,1,30,1,28,2,30,1,29,1,13,1,8,1,10,1,8,1,17,4,14,1,12,1,29,1,28,16,30,2,28,1,30,2,6,1,28,3,29,1,28,7,7,1,8,1,9,2,10,1,11,3,9,1,16,1,11,1,16,1,9,1,16,2,11,4,16,1,17,1,10,1,9,1,17,3,11,2,17,1,9,1,17,1,10,1,17,1,11,1,16,1,11,1,16,1,9,1,17,1,11,1,17,1,11,1,17,1,11,2,17,1,9,1,16,1,9,1,16,1,10,1,9,2,8,1,11,5,9,4,10,1,13,1,11,1,9,1,10,1,17,1,11,1,9,3,8,1,16,1,17,1,9,1,16,1,11,1,10,1,11,1,16,1,11,3,16,1,9,1,11,1,17,1,11,1,10,1,9,1,16,1,9,1,16,1,9,3,16,1,9,2,16,1,11,1,16,1,13,1,11,1,9,1,16,1,10,1,11,1,16,1,17,1,16,1,9,1,16,1,12,1,17,2,9,1,17,1,9,1,7,1,13,1,6,1,29,2,6,1,29,1,30,1,29,1,7,1,13,1,8,1,13,3,9,5,30,1,28,1,6,1,30,1,28,1,6,1,28,1,30,2,6,2,30,1,7,1,30,2,29,1,28,5,30,1,28,2,29,1,28,1,7,1,6,1,30,1,6,2,28,1,6,1,28,1,8,2,16,1,11,1,9,1,11,4,9,3,11,3,10,2,16,1,11,1,9,2,11,1,9,1,11,1,10,1,8,1,9,5,11,1,9,3,11,1,9,2,13,1,9,2,11,1,9,2,13,1,16,1,9,2,11,1,9,1,10,1,9,1,8,1,11,2,10,1,9,4,11,1,8,1,9,2,11,1,9,1,10,1,16,1,9,1,11,1,9,1,11,1,10,2,11,3,16,1,9,3,11,1,9,1,10,1,9,4,11,3,9,2,8,1,9,1,8,1,13,3,8,3,13,1,8,1,30,1,7,1,6,1,29,1,28,16,9,1,10,1,8,1,7,2,6,2,30,2,28,3,29,1,30,1,29,1,28,1,30,2,29,1,6,1,30,2,6,1,30,1,6,1,28,1,6,2,30,1,29,1,6,3,30,1,28,1,29,1,28,2,30,1,28,1,29,1,30,2,29,1,28,18,6,2,13,1,6,1,29,2,6,1,28,1,30,1,28,5,30,1,28,2,30,1,28,107,6,1,30,2,29,2,6,1,13,1,7,1,13,1,6,1,13,1,8,1,7,2,6,1,13,2,8,1,6,3,8,1,6,1,13,1,24,1,7,2,13,1,11,1,9,1,13,3,9,1,8,1,13,2,8,1,6,1,13,1,6,1,13,2,6,1,7,1,8,1,13,2,6,1,8,1,6,2,13,2,30,1,13,1,30,1,29,1,28,34,29,1,30,1,28,1,30,1,29,1,6,1,13,1,7,1,13,1,6,2,8,1,6,1,13,2,8,1,13,1,6,1,13,1,7,1,13,3,29,1,30,2,28,6,13,1,17,25,16,1,17,24,9,1,10,1,11,3,16,2,9,1,11,2,16,2,11,1,16,1,9,1,16,1,11,1,9,1,11,1,9,3,16,1,17,2,16,3,9,4,8,1,13,1,9,2,6,1,30,1,7,1,9,1,30,1,13,2,6,5,7,1,6,1,30,1,7,1,13,2,6,1,30,1,13,1,9,1,6,1,30,1,6,2,13,3,28,5,6,1,30,2,6,2,30,1,29,1,30,3,6,1,29,1,6,3,30,1,7,1,6,5,7,1,13,1,30,1,6,1,30,1,28,1,7,1,30,1,28,1,30,1,6,1,29,2,30,1,6,1,30,1,6,1,30,1,6,2,30,1,13,1,6,2,13,1,6,3,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,2,7,1,6,6,30,1,6,1,30,1,6,1,30,1,28,4,30,2,6,1,9,1,30,1,28,1,30,2,29,1,30,1,6,1,30,3,6,1,28,1,29,1,30,3,6,2,30,2,29,1,6,1,30,1,6,1,13,1,6,2,30,2,29,1,30,1,29,1,30,1,29,1,30,3,6,1,30,4,6,1,30,3,29,2,28,1,6,3,30,5,29,1,30,3,6,1,30,1,28,1,30,1,6,1,30,1,29,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,3,30,4,6,1,30,3,6,1,30,1,6,4,29,1,6,2,30,1,29,1,6,1,30,1,6,1,30,1,6,1,28,1,30,5,29,1,30,2,6,1,13,1,6,1,30,1,6,2,30,1,13,1,6,3,13,1,30,1,7,1,28,1,30,1,6,1,29,1,30,3,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,2,13,1,30,1,6,4,7,1,6,1,7,1,6,1,30,2,6,1,28,1,6,4,30,2,6,1,29,1,6,1,30,3,6,2,7,1,30,1,6,2,13,1,6,1,7,1,6,1,30,1,7,1,13,1,6,4,29,1,6,3,30,3,6,1,30,2,6,1,30,3,28,1,30,1,6,1,30,1,6,2,30,1,6,1,30,3,6,2,30,2,7,1,13,1,30,1,6,5,30,1,6,2,30,4,6,1,30,1,6,1,30,1,28,1,6,2,29,1,6,2,13,1,6,2,30,1,6,1,30,2,6,3,30,1,29,1,6,1,30,1,6,1,29,1,7,1,13,2,8,1,13,1,30,2,6,1,30,2,6,6,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,6,1,13,2,30,1,13,1,6,1,13,1,30,1,28,2,30,1,6,2,30,3,6,1,30,2,6,2,30,1,6,1,30,2,29,1,6,1,30,1,28,1,30,4,28,1,6,1,30,2,6,1,28,1,30,1,8,1,13,2,7,1,8,1,13,1,6,4,11,2,8,1,10,1,9,1,8,1,9,1,11,1,9,1,8,3,10,2,11,1,9,2,24,1,9,1,11,1,24,1,9,1,10,3,9,1,17,1,11,2,9,1,12,1,9,1,24,1,13,1,24,2,13,1,9,1,17,1,11,1,17,2,12,1,9,1,10,1,11,2,9,1,17,1,10,1,28,2,13,1,6,1,24,3,8,1,24,3,8,1,24,2,9,1,24,1,12,1,7,1,13,1,11,1,9,2,12,2,17,2,9,6,17,1,12,2,10,1,17,2,10,1,12,1,17,4,12,1,24,1,10,2,17,1,24,1,12,2,8,1,24,4,26,1,8,1,25,2,8,1,25,1,26,1,25,1,8,1,26,1,8,1,25,2,8,1,6,1,8,1,24,1,8,2,13,1,10,1,24,1,10,1,12,2,17,9,9,1,12,1,24,1,17,1,24,1,12,3,10,1,12,1,10,1,24,4,25,1,6,1,30,1,28,1,29,2,28,5,29,1,28,11,6,1,30,1,6,2,25,3,7,1,24,1,10,1,24,1,10,1,24,2,12,1,24,1,12,1,10,1,17,1,10,2,17,2,12,1,17,1,12,2,17,1,12,1,17,2,10,1,17,1,12,1,17,1,8,1,10,2,24,1,17,1,12,1,10,1,25,1,24,1,10,1,8,1,10,1,12,1,24,2,12,1,24,1,12,1,24,1,17,1,10,2,12,6,10,1,7,1,6,2,7,1,6,1,7,1,30,1,28,1,30,4,28,1,30,1,28,5,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,8,30,1,28,1,30,1,28,3,30,1,28,7,30,7,28,1,30,2,28,1,30,2,9,1,8,3,24,2,7,1,8,2,7,1,24,1,6,1,7,2,24,1,6,1,8,2,24,1,8,3,25,1,8,1,25,1,26,1,25,1,26,1,27,1,26,1,8,1,29,1,26,1,24,1,27,1,6,2,7,1,13,1,29,1,13,1,8,1,6,1,13,1,24,1,6,1,25,1,24,1,10,2,8,1,25,1,7,1,24,1,7,2,8,1,24,1,25,1,24,5,13,1,8,3,13,1,24,1,7,1,24,1,8,1,24,1,8,1,24,1,8,1,10,1,8,4,24,3,7,1,8,1,24,1,12,1,10,1,24,1,10,2,24,1,8,1,17,1,24,3,10,1,12,2,10,2,9,1,8,1,12,1,10,1,24,1,10,1,8,1,12,2,10,2,17,1,10,1,17,1,9,1,12,3,17,11,7,1,30,1,28,1,10,1,17,1,12,1,17,7,12,2,17,2,11,1,9,2,8,2,7,1,6,1,30,1,28,33,30,1,6,2,30,1,6,2,8,3,24,1,8,1,13,1,24,1,7,1,9,1,11,1,17,2,11,1,9,1,24,1,11,1,10,1,9,1,12,3,17,3,11,1,9,1,13,1,9,1,13,4,8,1,9,1,11,1,13,1,9,1,11,1,9,1,6,1,9,1,8,1,7,1,9,1,8,1,13,2,9,1,8,1,13,1,9,1,7,2,28,1,30,2,6,1,30,1,6,1,13,1,9,1,8,1,13,1,8,1,6,2,30,3,28,30,30,1,13,3,9,1,13,10,7,1,9,1,13,3,8,1,13,1,9,1,13,2,7,1,13,2,6,2,8,1,13,1,6,1,9,1,13,2,6,1,13,2,9,1,13,1,6,1,13,1,8,1,13,1,6,2,13,2,6,1,8,1,6,1,7,1,9,1,30,1,13,1,30,1,6,1,30,2,6,1,28,1,6,1,30,1,6,1,13,2,6,3,29,1,7,1,13,1,30,1,9,1,6,1,30,1,28,2,6,2,29,2,28,1,30,1,13,1,30,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,3,7,1,13,1,6,1,13,1,6,3,13,2,8,1,13,1,8,1,13,1,10,1,13,1,9,1,7,1,6,2,13,1,7,1,30,1,13,1,28,1,30,4,28,2,30,1,6,1,30,4,28,1,13,1,28,6,30,1,6,1,29,1,28,8,9,1,17,1,12,2,17,1,9,1,24,1,8,1,6,1,13,1,30,1,6,3,30,2,6,1,29,1,6,2,7,1,13,2,24,1,12,1,17,1,16,1,9,1,13,1,30,1,28,7,24,1,10,1,8,1,13,1,7,1,28,34,8,1,9,1,17,1,24,1,6,1,7,1,12,1,16,1,9,1,12,1,13,2,29,3,7,1,8,1,13,1,24,2,12,1,24,1,6,1,28,2,29,1,30,1,13,1,9,1,17,1,8,1,6,1,30,1,6,1,28,1,6,2,24,1,8,2,10,1,11,1,10,2,8,1,13,1,30,1,6,1,28,1,8,1,9,1,12,1,24,1,28,2,30,1,6,1,8,1,13,1,28,16,30,1,28,26,30,1,28,5,7,1,11,2,7,1,28,3,}, {28,8,30,2,28,20,13,1,30,1,13,1,9,1,13,2,9,1,13,1,8,2,11,1,17,3,11,1,8,1,11,1,24,1,6,1,28,7,30,1,6,1,13,1,9,1,8,1,6,1,28,6,24,1,8,1,24,1,13,1,6,1,30,1,28,10,8,1,9,1,30,1,28,16,6,1,28,27,30,1,6,1,28,1,6,1,9,1,11,1,17,1,13,2,29,1,7,1,30,1,6,1,13,1,9,1,7,1,28,1,29,1,13,1,6,1,7,1,8,2,7,1,29,1,30,1,28,8,13,2,7,1,28,6,7,1,12,1,15,1,9,2,13,6,24,1,8,1,24,1,17,1,9,1,24,1,6,1,13,1,30,1,6,1,28,35,30,3,6,1,29,1,8,1,24,1,9,1,6,1,28,5,6,1,12,1,8,2,6,1,24,1,7,1,29,1,6,4,29,1,6,1,29,1,6,1,28,1,30,1,28,1,30,1,29,1,30,1,6,1,7,1,24,1,8,1,10,1,14,1,17,3,14,1,28,16,30,2,6,1,28,1,30,1,6,1,30,1,28,11,13,2,8,1,13,1,11,1,9,1,11,1,10,1,11,1,10,1,9,1,11,1,9,1,17,1,10,1,9,1,11,1,17,1,16,1,17,1,16,1,17,1,11,1,16,1,11,1,16,1,11,1,17,1,16,1,11,1,17,1,11,1,16,2,9,1,16,2,11,1,10,1,11,1,9,1,17,1,9,1,11,3,9,1,17,1,11,1,9,1,11,1,16,1,11,1,10,1,9,1,10,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,17,1,13,1,9,1,11,1,9,2,13,1,9,2,13,1,16,1,9,1,17,1,16,1,9,1,11,1,9,2,11,1,16,1,8,1,9,1,16,1,9,1,11,1,16,1,17,1,8,1,9,1,8,1,6,1,11,1,16,2,9,1,16,1,9,3,10,1,9,1,11,1,16,2,9,1,11,3,17,1,11,1,10,1,9,1,17,1,10,1,9,1,11,1,8,1,9,1,8,1,13,1,6,2,29,1,28,1,29,1,6,2,13,1,7,1,13,1,8,1,13,1,8,2,9,2,8,1,13,1,6,1,30,2,28,1,6,1,30,3,29,2,30,4,28,1,6,1,30,2,28,1,30,1,29,1,30,1,28,4,6,2,30,1,28,1,7,1,6,1,29,1,13,1,6,1,13,1,17,1,16,1,9,2,11,3,16,1,11,2,10,1,9,1,16,1,10,1,11,2,9,1,11,2,9,1,10,1,9,1,8,1,9,1,17,1,9,1,11,1,8,1,9,3,10,1,9,1,8,1,9,1,8,1,9,3,13,1,11,1,8,1,9,1,11,1,9,1,11,2,9,6,8,1,9,1,8,1,9,1,10,1,9,2,8,1,9,4,11,1,9,1,11,2,9,2,11,1,10,1,11,1,9,1,11,1,9,2,11,2,10,1,11,1,9,1,10,1,11,2,9,1,16,1,9,1,10,1,8,2,11,1,13,1,8,1,7,1,8,1,7,1,8,2,6,4,29,1,6,1,28,16,9,1,17,1,13,1,8,1,6,1,30,1,29,1,30,1,28,5,29,1,30,2,6,1,30,1,28,1,29,1,28,2,29,1,30,2,6,2,30,1,29,1,6,2,30,1,28,3,30,1,28,9,30,1,28,18,7,1,8,1,9,1,7,2,6,3,28,4,30,1,28,1,30,1,28,109,6,1,30,2,28,1,29,1,6,1,13,2,6,3,13,1,6,1,7,3,6,1,13,1,30,1,6,1,13,1,6,1,13,3,6,1,13,1,9,3,13,2,9,1,13,1,24,1,8,1,7,1,13,2,7,2,13,1,29,1,6,1,30,1,13,1,29,1,13,1,6,2,13,1,6,1,13,1,6,2,28,1,30,1,6,1,28,30,30,1,28,3,30,1,28,1,6,1,30,1,29,1,6,1,7,1,29,1,6,1,29,1,8,1,13,1,6,1,10,1,6,1,7,1,13,1,8,1,13,1,29,1,9,1,7,1,6,1,30,1,28,7,9,1,17,24,16,1,17,5,12,1,17,3,12,1,17,16,16,1,10,1,9,1,13,1,9,1,11,3,9,3,11,2,16,1,11,2,9,4,11,1,16,5,9,3,13,1,11,1,9,2,16,1,6,3,9,1,13,1,6,1,13,1,6,1,30,1,6,9,13,2,6,1,7,1,13,3,6,1,29,1,13,3,30,3,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,1,6,2,30,3,6,2,30,1,13,1,6,5,30,1,6,1,30,1,29,1,6,1,13,1,6,1,30,2,13,1,6,1,30,5,6,1,30,1,6,2,13,2,6,1,30,1,6,3,29,1,6,1,30,3,28,1,6,2,30,1,29,1,6,5,30,1,6,2,29,1,30,3,28,1,30,4,28,1,13,1,9,1,6,1,28,2,30,1,6,1,30,6,13,1,30,2,6,1,30,3,29,2,6,2,29,1,6,1,29,1,6,1,30,1,29,1,6,1,30,5,6,1,30,1,6,1,13,2,6,1,30,1,7,1,28,1,30,3,28,1,30,2,6,1,30,1,6,1,30,1,29,1,30,1,28,1,6,1,30,1,28,1,6,1,30,1,29,1,6,1,28,2,6,2,29,2,30,1,6,1,28,1,30,1,6,1,30,3,6,1,30,4,6,1,28,1,13,1,30,1,28,1,30,3,28,2,30,1,6,1,30,2,6,1,28,1,29,1,6,1,30,2,13,1,29,1,30,2,29,1,6,1,29,1,30,1,6,1,30,3,6,1,30,1,28,1,30,4,28,1,29,1,28,1,30,1,28,1,13,1,6,2,13,1,30,1,6,2,30,1,28,1,30,1,29,1,30,2,29,1,28,1,30,1,28,1,30,5,6,2,28,1,6,1,30,1,28,1,6,2,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,3,6,2,30,1,6,1,30,1,6,2,29,1,6,3,30,1,6,2,29,1,6,1,13,1,6,1,30,1,29,1,28,1,6,5,30,2,6,2,29,1,6,1,30,5,28,1,6,1,28,1,30,1,29,1,30,2,6,1,30,4,28,1,6,4,13,1,7,2,6,1,29,1,30,3,6,1,30,1,29,1,6,6,13,1,6,1,29,2,13,1,6,3,13,1,6,5,30,1,6,6,30,1,6,1,29,1,13,3,28,1,6,1,30,2,29,1,13,2,6,2,30,1,13,1,30,2,6,3,28,1,6,2,30,1,6,1,30,1,29,1,30,1,6,1,30,1,13,1,6,1,7,1,6,2,30,2,6,1,30,3,28,1,30,6,28,1,30,1,28,1,29,1,28,3,30,1,28,3,30,1,28,2,30,1,29,1,30,1,29,1,28,1,30,1,9,1,6,3,29,1,28,3,6,1,8,1,9,1,11,1,9,1,8,1,9,4,13,3,9,1,8,3,24,2,8,1,9,2,10,2,9,1,17,1,9,2,11,2,8,1,9,1,12,1,6,1,9,1,8,1,24,1,13,1,9,1,10,1,17,1,10,2,9,2,8,1,10,2,9,1,11,1,17,1,10,1,6,1,30,1,13,1,8,3,10,1,24,4,13,1,8,1,13,1,24,1,17,1,24,1,11,1,29,1,9,1,10,1,12,1,11,1,17,1,12,1,17,1,12,1,9,1,24,1,9,1,24,1,12,1,17,1,10,1,12,1,10,1,12,2,17,1,12,2,17,1,12,1,17,1,10,1,17,1,12,1,17,1,10,3,12,1,24,2,25,1,24,2,25,3,27,1,8,2,29,1,25,1,24,1,6,1,8,1,6,1,8,2,25,1,6,1,8,1,7,2,8,1,13,1,8,2,13,1,24,1,12,1,17,10,10,1,12,1,17,1,10,4,24,4,7,1,24,1,25,1,29,2,28,9,30,1,28,1,30,1,28,5,30,1,27,1,30,1,29,1,27,1,6,4,8,3,13,1,8,3,24,1,17,1,10,1,17,1,24,1,17,1,10,1,12,1,17,1,10,1,17,1,12,2,10,1,12,3,17,1,24,1,12,1,10,2,12,2,17,1,24,1,10,1,12,1,24,2,12,1,24,4,8,1,12,1,24,2,12,3,24,1,8,1,12,1,17,1,10,1,17,1,24,1,17,1,24,1,7,1,30,1,6,1,7,1,6,1,28,1,6,1,29,1,30,4,6,1,30,1,28,4,30,2,28,1,30,1,28,4,30,1,28,7,30,1,28,12,30,1,28,2,30,2,28,1,30,6,6,1,28,1,13,1,8,2,7,1,13,1,7,1,8,1,13,2,7,1,6,1,25,1,6,1,25,1,8,1,6,1,8,1,24,1,8,2,24,1,8,1,26,2,27,1,25,2,6,1,25,1,26,1,27,1,8,1,6,1,26,1,8,1,24,1,26,1,6,1,7,1,24,2,7,1,24,1,13,1,8,1,13,1,8,1,24,3,13,1,8,1,25,1,7,1,24,2,7,3,24,2,13,1,7,1,24,1,8,1,7,1,24,2,8,1,13,1,24,1,13,1,24,1,8,1,13,1,7,1,8,1,12,1,8,2,24,1,12,1,24,1,9,1,8,1,7,1,24,1,6,1,8,1,10,3,13,1,24,1,10,1,24,2,10,1,24,2,8,2,10,1,12,1,24,1,10,1,8,1,24,1,8,1,10,1,24,1,8,1,12,2,24,1,17,1,8,1,24,1,12,1,10,1,24,1,17,13,30,1,28,1,30,1,8,1,9,2,12,3,17,4,11,2,12,1,11,1,9,1,10,1,9,1,13,1,8,1,13,1,6,1,13,1,6,1,28,32,30,1,6,2,8,1,7,2,29,1,13,1,8,2,13,1,6,1,11,1,7,1,8,1,9,1,11,1,10,1,11,1,17,1,12,2,8,2,9,2,17,3,9,2,11,1,8,1,10,1,13,1,6,1,13,1,8,1,9,1,13,1,8,1,9,1,8,1,9,1,8,2,13,1,9,2,13,2,9,1,13,1,6,1,28,1,13,2,6,1,29,1,30,3,28,1,6,2,9,2,8,1,9,1,13,1,6,3,28,33,9,1,13,2,9,1,13,4,9,1,29,1,13,8,6,1,7,1,9,1,13,4,29,1,30,1,28,1,13,1,6,1,8,1,6,1,13,2,8,2,6,1,13,1,6,1,13,1,9,1,13,1,6,3,13,1,29,1,13,1,6,1,13,3,7,1,6,1,13,1,28,2,13,1,29,1,28,1,30,1,28,1,6,3,30,1,6,1,7,1,28,1,30,1,29,1,28,1,13,1,6,1,13,2,9,1,28,1,30,1,6,1,13,7,7,1,13,4,6,1,30,1,13,4,6,2,13,1,7,1,13,6,6,1,9,1,7,1,13,1,6,1,9,1,13,2,9,3,13,1,7,1,6,1,13,1,30,1,28,1,30,1,28,3,30,1,28,2,29,1,6,1,30,1,13,1,30,1,28,1,30,1,28,3,29,1,30,3,28,7,9,1,15,1,17,1,8,1,9,3,13,1,7,1,13,1,7,1,13,1,30,1,6,1,28,1,30,2,6,1,30,1,13,1,7,1,13,1,8,1,24,1,9,1,16,1,11,1,9,2,28,7,30,1,9,2,10,1,6,1,28,3,30,1,28,29,30,2,6,1,14,1,15,1,9,1,8,2,9,1,17,1,11,1,17,1,9,1,24,1,6,3,30,1,7,1,8,2,15,1,12,1,24,1,7,1,28,3,30,1,6,1,13,1,17,1,9,1,30,1,28,2,30,1,13,1,6,1,8,1,12,1,9,1,15,1,24,1,15,1,8,1,9,1,8,1,28,1,6,1,7,1,9,1,10,1,24,2,30,1,28,2,9,1,8,1,13,1,28,1,29,1,28,14,30,1,28,14,30,1,28,5,30,1,28,11,6,1,11,1,17,1,6,1,28,3,}, {28,21,30,1,28,1,30,1,28,1,30,2,6,2,13,1,8,4,9,1,13,1,8,1,13,1,9,1,8,1,9,1,12,1,17,2,11,1,10,1,17,1,9,1,13,1,28,2,30,1,28,2,30,1,28,2,6,2,17,1,8,1,30,1,28,6,24,2,9,1,8,1,6,1,28,11,13,1,12,1,28,44,6,1,28,1,6,3,7,1,12,2,11,1,29,1,6,2,13,1,6,1,12,1,15,1,29,1,30,1,28,1,30,1,29,1,6,1,8,1,29,1,8,1,30,1,6,1,28,7,7,1,8,1,24,1,6,1,28,6,9,1,10,1,8,2,24,1,13,1,8,1,13,2,8,1,13,1,8,2,9,1,17,2,7,1,29,1,13,1,30,1,6,2,29,1,28,32,30,2,28,3,30,1,8,1,12,1,8,1,6,1,28,5,13,1,10,1,7,1,8,3,24,1,13,1,7,1,6,1,7,1,29,2,6,1,7,1,6,1,28,1,29,1,28,3,30,2,13,2,8,1,14,1,17,4,15,1,28,16,30,4,13,1,30,1,6,2,28,10,30,1,13,2,8,2,11,1,10,1,16,1,10,1,11,1,16,2,17,1,16,1,17,1,16,2,17,2,16,1,17,2,16,1,17,4,16,1,17,1,9,1,11,2,9,5,16,1,11,1,9,1,11,3,16,1,11,1,16,1,17,2,11,1,9,1,16,2,11,1,9,1,10,1,16,1,11,1,10,1,17,1,9,2,11,1,16,1,11,1,9,1,11,2,9,1,16,1,11,1,17,1,8,1,16,1,11,1,16,1,9,1,16,1,9,1,16,1,11,2,9,1,16,1,9,3,17,1,11,2,16,1,10,1,16,1,9,2,10,1,13,1,8,1,16,1,9,2,11,1,9,1,10,1,11,1,17,2,9,1,16,1,17,1,16,1,11,1,17,1,11,1,9,1,16,1,11,1,17,1,9,1,10,1,8,1,16,1,8,1,13,1,29,1,30,1,6,1,30,1,28,2,13,1,6,1,8,1,13,1,7,1,8,2,10,1,11,2,8,2,6,1,30,2,28,1,6,1,28,1,30,1,29,1,30,2,13,1,28,1,30,1,6,1,29,1,28,1,29,1,30,1,28,1,29,1,30,1,6,1,30,1,28,1,30,1,28,3,30,1,6,1,7,1,30,1,13,1,7,1,13,2,16,1,11,1,10,1,16,1,11,1,9,2,11,1,9,1,11,1,16,1,11,1,10,1,16,1,9,1,11,1,10,1,16,1,10,1,9,2,16,1,9,1,11,1,9,1,11,1,9,11,13,1,12,1,10,1,9,9,10,1,9,2,10,1,11,1,9,3,11,1,10,1,11,1,10,1,9,1,11,1,10,1,11,2,9,1,11,2,9,2,16,1,8,1,9,1,11,2,10,1,13,1,10,1,9,1,11,1,10,1,9,2,16,1,9,1,10,1,9,1,8,1,16,1,8,1,11,1,9,2,8,1,6,1,8,1,6,1,13,3,8,1,7,1,28,1,6,1,30,1,28,15,8,1,24,1,10,1,24,1,8,1,6,1,13,1,29,2,28,2,30,2,28,3,6,1,28,1,29,1,6,1,29,1,30,1,6,3,29,1,6,1,28,1,6,1,30,2,6,1,30,1,29,1,30,1,7,1,28,1,30,1,28,1,6,1,30,1,28,2,6,1,30,1,28,1,30,2,28,21,7,1,13,1,8,1,13,1,8,1,7,1,6,1,28,1,30,1,6,1,28,5,30,1,28,103,29,1,30,1,29,1,30,1,29,1,6,2,7,1,6,1,13,1,7,1,6,3,13,2,29,2,13,1,8,1,13,1,7,1,13,1,8,1,7,2,30,1,8,1,11,1,13,1,9,1,8,1,6,1,10,1,24,1,6,1,7,3,6,1,7,1,29,1,6,1,29,1,7,1,29,1,6,1,29,1,30,1,13,1,7,1,8,1,6,3,7,2,28,2,30,2,28,30,30,3,29,1,30,2,6,1,29,1,6,1,13,1,6,2,8,1,13,4,8,1,13,1,6,1,13,3,7,1,6,2,30,1,28,5,29,1,12,1,17,38,16,1,17,8,16,1,17,4,9,3,11,1,9,1,11,1,9,1,11,3,9,1,11,8,16,1,17,1,11,1,16,1,17,1,16,1,9,3,11,1,9,1,13,2,16,1,6,3,9,1,6,1,30,1,13,1,30,1,6,8,7,1,6,2,29,2,6,2,30,1,6,2,30,1,13,1,7,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,30,3,6,1,30,1,6,1,29,1,30,1,6,1,29,1,7,1,6,3,7,2,6,4,13,1,29,1,13,1,6,1,30,2,29,1,30,2,6,3,30,4,29,1,30,5,6,2,30,2,6,1,30,2,6,2,29,1,30,2,28,1,6,2,30,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,2,28,1,30,1,28,1,6,1,28,1,30,2,8,1,28,2,30,1,6,1,30,1,28,1,6,1,28,1,30,1,6,1,30,4,6,1,30,3,6,1,29,1,6,1,30,4,28,1,30,3,6,1,28,1,30,1,29,1,30,1,6,2,30,1,13,2,30,1,6,1,30,4,28,1,29,1,28,1,30,2,6,1,30,2,28,1,30,4,6,1,30,1,28,1,6,1,30,2,28,1,6,1,30,3,6,1,28,1,6,1,28,1,30,2,29,1,6,1,30,2,6,3,30,1,28,1,6,1,30,4,29,1,30,1,28,1,30,5,6,2,30,1,28,1,6,1,13,1,30,1,28,1,6,2,28,1,6,1,30,1,28,1,30,1,6,2,28,1,30,1,6,2,30,1,28,1,29,1,28,1,30,1,28,1,30,2,6,1,30,2,7,1,30,1,13,1,30,1,6,1,30,3,28,1,30,1,6,1,30,3,29,1,6,1,28,1,30,3,6,1,30,7,6,1,30,1,6,1,29,1,6,1,30,3,6,1,30,1,7,1,30,2,6,1,30,1,6,1,30,1,29,1,6,1,29,1,7,1,6,1,7,1,13,1,6,1,7,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,29,2,30,1,6,1,28,1,6,1,30,1,28,1,29,2,6,1,30,1,6,1,30,2,29,1,6,4,30,1,6,1,7,1,30,1,7,1,6,4,29,1,6,3,30,1,13,1,6,3,30,1,6,1,30,1,6,2,30,1,7,1,6,3,13,1,6,2,29,1,6,1,29,1,30,2,6,1,30,1,6,3,13,1,6,3,13,2,6,1,28,1,30,2,28,1,6,1,28,1,29,1,30,1,29,1,30,1,29,1,30,2,6,2,30,1,6,1,29,1,6,4,30,1,6,4,30,1,6,2,30,1,6,2,30,4,29,1,30,3,28,1,30,2,28,1,6,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,4,6,1,30,1,29,1,28,1,30,1,8,1,6,2,13,1,29,1,28,4,6,1,13,3,8,4,9,1,13,1,8,1,13,1,8,1,7,1,13,1,7,1,8,1,9,1,8,2,9,5,11,1,9,1,17,1,9,4,24,1,13,1,8,2,13,1,24,1,17,2,10,1,12,1,13,2,9,1,24,1,9,1,10,1,17,1,12,2,13,1,6,1,8,3,13,1,24,3,8,1,24,1,8,2,13,1,8,1,24,1,10,1,12,1,8,1,11,1,12,2,10,1,11,1,17,2,12,1,10,1,8,1,9,1,13,1,8,1,10,1,24,2,10,1,24,3,12,2,17,1,10,1,17,1,24,1,10,2,24,1,10,1,17,1,12,1,24,3,8,1,25,1,8,1,25,1,29,1,6,1,28,1,8,1,25,1,8,1,25,1,24,1,25,2,7,1,6,2,7,2,13,2,7,1,13,1,6,2,13,2,8,1,24,1,17,11,12,2,24,2,12,1,24,1,10,1,8,1,10,1,8,1,24,1,13,1,7,1,6,1,29,1,28,15,29,1,30,2,28,1,30,2,28,1,29,1,6,3,25,2,24,3,8,1,24,1,10,1,12,1,17,1,12,1,10,1,17,3,12,1,17,1,24,1,12,1,17,1,10,1,12,3,17,1,24,1,12,2,17,2,12,2,10,1,17,1,24,5,10,1,24,3,17,1,24,1,17,1,24,2,12,1,24,3,10,1,24,1,12,1,17,1,24,1,7,1,13,1,8,1,13,1,29,1,28,2,30,3,6,2,30,2,28,5,30,4,28,12,30,2,28,9,30,1,28,1,30,1,28,1,30,2,28,2,30,1,6,1,28,2,30,2,28,2,8,1,24,1,13,3,8,1,13,1,8,3,7,1,25,1,6,1,25,1,8,2,25,1,8,1,25,1,24,2,26,1,27,1,26,1,25,1,27,1,8,1,27,1,25,1,29,1,25,3,27,1,26,1,24,1,26,1,25,2,8,1,25,1,6,1,24,1,8,1,13,1,24,1,10,1,12,1,7,1,8,1,24,2,25,1,6,1,24,4,6,1,8,3,13,2,24,2,8,1,9,1,24,2,8,1,24,1,8,1,12,1,8,2,12,2,13,1,24,1,13,1,8,2,12,1,13,1,24,1,8,1,6,1,12,1,10,1,13,1,10,1,8,2,24,3,8,2,24,1,12,1,10,1,24,1,12,1,24,1,12,1,24,1,10,1,9,1,24,6,12,3,9,1,10,2,12,1,17,11,9,1,30,1,28,2,8,1,17,1,24,2,12,1,10,1,12,1,17,4,11,1,10,1,17,1,10,2,9,1,8,2,13,3,6,1,7,1,28,32,30,1,6,3,24,1,7,1,8,2,6,1,13,2,8,1,13,2,8,1,9,1,10,1,9,1,10,1,24,1,10,2,7,1,10,1,9,1,17,4,12,1,8,1,9,2,8,1,6,1,13,4,9,2,13,2,8,1,13,1,9,1,8,1,13,1,9,1,8,2,13,1,8,1,13,4,7,1,30,1,28,1,6,1,28,2,13,1,9,2,13,1,6,1,13,2,7,1,30,1,6,1,28,1,30,1,28,30,13,1,8,1,13,1,8,1,13,3,9,1,13,1,9,1,13,2,6,1,8,1,6,1,13,3,8,1,13,2,8,1,9,1,30,1,13,2,9,1,13,1,8,1,13,2,7,1,13,2,8,1,13,1,7,1,6,1,13,4,8,1,9,1,8,1,6,1,9,1,13,1,6,3,8,1,6,1,13,3,28,1,6,1,30,1,6,1,30,2,6,1,13,1,6,1,30,1,13,1,30,1,6,1,30,1,6,1,28,1,13,2,6,2,9,1,28,1,6,1,30,1,13,2,28,1,6,2,13,1,9,1,30,2,13,1,7,1,9,1,6,1,13,3,6,1,13,2,30,1,13,1,7,1,30,1,13,3,8,2,6,1,8,1,13,1,8,1,13,3,9,3,13,3,6,1,30,2,6,1,28,3,30,1,28,1,30,1,28,3,30,2,6,1,30,1,28,4,30,1,6,2,28,8,11,1,15,1,17,1,12,1,17,1,12,1,24,1,13,1,7,1,28,1,6,2,30,2,29,1,30,1,29,1,7,1,6,1,13,4,8,1,15,1,11,1,17,2,13,1,28,8,9,1,10,1,7,1,6,1,28,35,24,1,14,1,11,1,9,1,6,1,13,1,17,2,16,1,17,1,13,2,6,2,30,1,28,1,7,1,13,1,9,2,10,2,6,1,28,4,6,1,13,1,24,1,9,1,30,1,28,1,30,1,28,2,7,1,8,1,9,2,10,1,15,1,10,1,17,1,13,1,6,1,13,1,6,1,28,1,6,1,9,1,8,1,7,1,28,2,29,1,8,2,7,1,28,38,30,1,6,1,29,1,28,2,30,1,28,1,30,1,28,3,6,1,9,1,10,1,13,1,28,3,}, {28,21,30,1,6,2,29,2,6,4,8,1,13,2,8,1,9,2,8,1,13,1,8,2,9,1,17,4,9,1,8,1,10,1,7,1,28,7,30,2,8,1,15,1,8,1,6,1,28,6,10,1,24,2,13,1,28,1,13,1,28,10,8,2,28,44,29,1,28,1,8,1,29,1,6,1,13,1,12,1,17,1,12,1,7,2,30,1,13,1,30,1,15,1,10,1,6,1,30,2,6,2,7,1,8,1,6,1,13,1,6,1,28,8,6,1,7,1,14,1,6,1,28,6,8,1,12,2,8,3,6,1,13,4,8,1,13,1,24,1,17,1,24,1,8,1,6,1,7,1,6,1,28,1,6,1,29,1,28,32,29,1,28,5,13,1,24,1,13,1,6,1,28,5,6,1,13,3,24,2,8,1,30,1,6,4,28,1,29,1,30,1,6,1,30,1,6,1,29,1,28,1,29,1,28,1,29,1,6,1,10,1,13,1,24,2,9,1,17,1,14,1,15,1,28,15,30,1,28,1,29,1,28,1,30,2,28,1,6,1,28,11,30,1,8,2,13,1,8,1,11,1,10,1,16,1,11,1,9,1,11,1,16,2,11,1,16,1,17,1,11,1,16,1,17,1,11,1,16,1,9,2,16,1,17,2,9,1,11,1,17,1,11,1,9,1,13,1,11,1,13,1,16,1,9,2,11,2,10,2,11,1,9,1,17,1,9,2,16,2,11,1,10,1,17,1,9,1,11,1,9,2,11,2,16,3,17,1,9,1,11,1,9,3,11,1,9,1,11,2,9,2,11,3,8,1,10,1,11,1,16,1,9,1,16,1,9,1,16,2,10,1,11,1,10,1,16,1,17,1,9,1,16,1,11,2,8,1,11,1,9,1,11,1,9,1,11,6,17,1,11,1,10,1,16,1,11,2,17,1,16,1,11,2,12,1,11,2,16,1,11,1,9,1,10,1,6,1,28,1,13,1,28,1,29,1,6,1,29,1,6,3,13,1,24,1,8,1,6,1,8,1,13,1,9,1,10,1,9,1,13,1,30,1,6,2,29,1,30,1,29,1,30,1,28,1,29,1,30,1,7,1,28,1,6,1,28,1,6,1,30,1,28,1,6,1,13,1,28,2,6,1,30,3,28,1,30,4,29,1,6,1,29,1,30,1,13,2,9,1,11,5,10,1,11,2,16,1,11,1,16,1,9,1,16,1,11,1,9,1,10,1,9,1,11,1,9,2,10,1,8,1,9,1,11,1,9,2,16,1,9,3,11,3,9,5,16,1,8,1,11,1,9,3,8,1,9,1,17,1,9,1,10,1,11,1,8,1,11,1,9,2,11,1,9,5,11,1,16,1,10,1,9,2,11,1,9,2,8,1,9,1,11,1,10,2,16,1,13,1,16,1,9,2,11,1,10,2,9,1,10,1,11,2,9,2,10,1,9,2,11,1,9,2,8,1,13,1,6,1,30,1,24,1,13,2,6,1,13,2,30,1,28,1,29,1,28,14,8,1,10,1,8,1,24,1,13,1,29,1,6,1,30,1,29,1,28,5,6,1,28,3,6,1,28,2,30,1,28,2,6,1,30,1,7,1,30,1,7,1,29,1,7,1,13,2,30,1,29,1,28,1,30,1,6,1,30,1,28,5,6,1,28,27,9,1,10,1,11,1,9,1,7,1,29,1,30,2,6,1,28,4,30,2,28,103,30,1,28,1,30,1,6,1,30,1,7,1,6,3,8,1,6,1,13,1,28,1,6,4,28,1,6,1,29,1,13,1,7,1,6,1,7,1,6,1,13,1,11,1,8,1,6,1,7,1,13,1,6,1,7,1,13,3,30,1,8,1,6,1,30,2,29,2,6,1,28,1,6,1,30,2,7,1,30,2,13,1,30,1,29,1,30,2,6,1,29,1,28,2,30,1,28,1,30,1,28,11,30,1,28,1,30,1,28,14,30,1,13,1,6,1,30,2,13,4,6,1,13,1,7,1,6,2,13,2,6,1,8,1,13,1,8,1,13,1,24,1,6,3,28,5,30,1,12,1,17,29,16,1,17,6,12,1,17,15,16,1,9,1,11,1,9,2,11,2,16,4,11,1,16,1,11,2,16,1,9,1,11,1,16,1,17,2,16,2,17,2,9,2,13,1,9,5,7,1,13,5,6,2,13,1,6,2,29,1,6,1,13,1,6,2,13,1,6,2,29,1,6,5,30,1,6,1,30,1,6,1,7,1,6,2,30,3,6,1,30,1,6,1,30,2,6,1,30,1,6,2,30,3,7,1,6,3,30,1,13,1,7,1,6,1,7,1,6,2,30,1,6,3,30,2,6,2,30,4,6,1,30,4,6,10,30,1,6,1,29,1,6,1,28,1,30,3,6,4,30,1,6,1,13,1,6,1,30,2,28,1,30,1,28,1,30,3,28,2,30,1,28,1,8,1,30,2,28,1,30,1,6,2,30,2,6,1,28,1,30,1,6,1,30,10,29,1,30,1,28,1,30,1,6,1,30,1,6,2,30,3,29,1,6,6,28,1,6,1,29,1,30,4,29,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,6,2,30,2,6,1,30,5,6,1,30,1,28,2,6,1,28,1,6,1,30,2,6,1,30,1,6,3,30,5,28,1,30,1,6,2,28,1,6,1,30,1,6,1,30,1,6,1,30,3,28,1,30,1,28,1,30,3,29,1,30,1,28,2,30,4,6,1,30,2,6,1,30,1,28,1,30,2,28,1,30,4,28,1,30,3,28,1,30,1,6,1,30,1,6,1,30,1,6,1,28,2,30,1,28,1,29,1,30,1,6,1,28,1,30,8,6,2,30,1,6,1,13,1,6,1,30,1,7,1,6,1,30,1,6,2,30,1,6,2,30,1,6,1,30,2,7,1,6,1,30,1,6,1,30,1,6,1,13,1,7,1,6,2,29,1,6,2,30,1,6,4,7,1,6,2,30,10,28,1,30,9,6,1,30,3,6,1,30,1,29,1,13,2,6,1,13,1,7,1,6,6,13,1,7,1,29,1,6,1,28,1,13,1,30,1,28,1,7,1,6,4,29,1,6,1,30,2,6,6,30,1,6,4,13,1,6,2,30,1,8,1,13,1,30,1,6,1,30,3,6,1,30,3,6,1,29,1,6,1,30,1,13,1,30,4,13,1,6,1,28,1,6,1,30,1,28,2,30,1,6,1,30,1,29,1,6,1,28,1,30,4,28,1,30,1,6,1,30,1,6,1,28,1,30,5,28,1,6,1,30,1,28,1,30,5,28,1,30,1,28,1,30,3,29,1,30,1,29,1,28,2,9,1,29,1,28,1,8,1,6,1,28,5,30,1,13,1,7,1,8,1,13,1,9,3,13,1,9,1,10,1,9,2,8,1,6,1,8,1,10,2,24,1,9,2,16,1,11,1,12,1,9,1,12,1,10,1,9,1,24,1,9,1,24,2,8,1,7,1,24,1,13,2,24,1,12,1,17,1,12,1,13,1,8,1,9,2,12,1,17,2,12,1,11,1,8,1,13,1,8,2,13,1,8,1,13,1,24,4,13,2,7,1,8,2,10,1,17,1,13,1,7,1,24,1,12,1,9,1,10,1,9,1,12,2,13,1,9,1,8,1,10,1,8,1,24,1,10,1,12,1,10,1,12,1,24,1,12,1,17,1,12,1,17,3,12,1,10,1,24,1,10,1,17,1,24,1,12,1,10,1,12,1,10,1,24,1,8,1,6,1,25,1,6,3,8,1,25,3,8,1,24,1,25,1,8,2,6,1,8,4,7,1,13,1,30,1,6,1,7,1,29,1,8,1,13,1,24,1,17,1,12,2,17,9,24,1,10,1,24,2,10,1,8,2,24,1,8,1,7,1,6,2,29,1,30,1,28,4,30,1,28,1,30,3,28,1,30,1,28,5,29,1,30,1,28,1,30,1,29,1,30,1,29,1,25,1,6,1,7,1,8,1,7,1,24,1,8,1,12,1,8,2,12,2,17,4,12,1,17,1,12,1,10,1,17,1,12,4,17,1,12,4,17,1,12,1,17,1,10,2,12,1,24,1,10,1,24,5,12,2,25,1,10,1,24,7,10,1,24,1,10,1,8,1,7,1,13,1,8,1,13,1,8,1,28,3,30,2,6,1,30,3,28,5,30,2,28,13,30,1,28,12,30,6,28,1,6,2,30,1,28,2,30,2,6,2,9,1,8,1,24,2,7,1,13,2,24,2,6,1,24,1,8,1,25,2,26,1,8,1,24,1,25,1,26,1,8,1,25,1,8,2,30,1,8,1,27,1,25,3,27,1,29,1,25,1,29,2,24,1,8,1,25,2,6,1,10,1,7,1,6,1,7,2,25,1,8,1,24,1,13,1,8,2,13,2,8,2,25,1,24,1,25,2,24,1,25,1,8,1,7,1,24,1,7,1,8,3,24,1,13,1,8,1,12,1,24,1,12,1,8,2,12,1,24,1,10,1,8,1,24,1,13,1,24,2,10,1,13,1,24,1,10,2,24,3,12,1,24,2,10,1,24,1,8,1,13,1,24,1,8,1,24,3,17,1,10,1,8,1,24,2,8,1,24,3,12,2,8,1,17,1,10,1,24,1,12,1,10,2,12,2,17,2,12,1,17,7,13,1,28,3,29,1,10,1,9,3,12,3,17,4,12,2,11,1,9,3,8,2,7,3,13,1,28,32,30,2,13,2,7,1,6,2,8,2,13,2,8,2,13,1,8,1,24,1,17,1,12,1,8,1,10,1,13,1,10,1,13,2,8,1,11,1,17,1,11,1,17,1,11,1,16,1,9,1,13,4,9,1,13,1,9,1,13,1,8,1,9,3,13,1,9,1,13,1,8,2,13,3,8,2,6,1,13,1,7,2,30,1,28,1,30,3,13,1,9,3,8,1,9,1,13,1,7,1,6,1,28,32,30,1,9,1,6,1,9,1,13,6,30,1,13,3,8,1,13,1,9,2,13,1,8,1,30,1,13,1,9,1,13,1,8,1,13,2,7,1,6,1,13,3,30,1,13,2,9,1,13,2,9,1,8,1,7,2,6,2,13,2,8,1,13,3,6,2,13,3,6,1,30,1,6,1,30,1,13,1,30,1,28,1,30,1,29,1,6,1,13,1,7,1,6,4,13,1,30,1,6,1,13,3,6,1,28,1,13,1,7,1,13,2,29,1,13,4,8,1,13,2,8,2,6,1,13,13,9,1,8,1,7,1,9,1,13,3,9,1,13,2,8,1,9,1,13,1,9,1,13,3,8,1,28,6,30,1,28,3,6,1,30,1,6,1,30,1,28,4,13,1,29,1,30,1,28,7,29,1,9,1,15,1,12,1,9,1,12,1,9,2,13,1,8,1,30,1,6,1,30,1,6,1,28,1,6,2,29,2,13,1,6,1,7,1,13,1,24,1,8,1,12,1,17,1,12,2,13,1,28,7,6,1,9,1,8,2,28,35,30,1,8,1,15,1,9,1,7,1,6,1,7,1,17,2,16,1,11,1,9,1,8,1,7,1,28,1,29,1,28,1,7,1,13,1,8,1,10,2,9,1,7,1,28,2,30,1,28,1,29,1,8,1,11,1,8,1,30,1,28,1,30,3,13,1,6,1,12,1,9,1,12,1,10,1,17,1,12,1,7,2,6,1,29,1,6,1,10,2,11,1,13,1,30,1,28,1,13,2,9,1,7,1,28,37,6,1,30,1,28,2,30,1,28,7,7,1,17,1,9,1,30,1,28,3,}, {28,15,6,1,30,1,28,3,29,1,30,1,7,1,6,3,7,1,13,1,6,1,13,1,9,1,7,2,13,3,8,1,11,1,13,2,10,1,17,3,12,1,11,1,9,1,8,2,29,1,28,5,30,2,28,1,8,1,24,2,6,1,28,6,8,1,24,1,8,2,24,1,6,1,28,10,15,1,8,1,6,1,28,43,30,2,13,1,29,1,7,1,13,1,12,1,17,1,11,1,6,1,29,1,6,1,7,1,6,1,8,1,10,1,8,1,28,1,29,1,6,6,30,2,28,6,29,1,13,1,6,1,14,1,6,1,30,1,28,5,7,1,17,2,24,1,13,3,8,2,24,1,8,1,24,1,13,1,9,1,10,2,8,1,29,1,6,2,29,1,6,2,28,38,8,1,9,1,24,1,6,1,28,1,29,1,28,4,24,2,10,1,9,1,13,1,8,1,30,1,6,1,13,1,6,2,13,1,6,1,28,1,8,1,30,2,28,2,6,1,28,1,30,1,6,1,10,1,24,3,15,1,17,2,15,1,29,1,30,1,28,15,30,2,29,1,28,1,30,1,29,1,28,12,6,1,13,1,8,1,10,1,9,2,11,2,17,1,11,2,16,1,17,1,16,1,11,1,16,2,11,1,10,1,16,2,17,2,16,3,9,1,16,1,9,1,16,1,13,1,9,2,13,1,9,4,17,2,16,1,11,5,10,1,11,3,17,1,9,1,16,2,10,1,16,1,17,1,16,3,11,1,16,1,11,1,8,1,11,2,13,1,16,3,11,1,9,1,17,1,11,1,16,1,9,1,8,1,16,1,9,1,16,1,11,1,16,1,11,1,10,1,17,1,16,1,17,1,11,1,9,1,16,1,11,1,10,1,11,1,9,4,11,1,9,2,11,3,16,1,17,1,9,1,16,1,17,1,11,2,16,1,9,1,11,1,9,1,17,2,9,3,11,1,13,1,29,1,6,1,13,1,6,1,28,1,6,1,28,1,29,1,13,1,8,1,7,1,6,2,13,1,9,1,8,1,11,1,9,1,13,1,6,1,29,1,6,1,30,2,28,1,30,1,28,1,13,1,30,2,29,1,28,2,29,1,28,1,30,2,28,1,30,1,29,1,13,1,28,1,6,1,30,2,29,1,30,3,13,1,29,2,30,1,28,1,13,1,9,1,11,1,10,1,16,1,11,2,16,1,10,1,11,2,9,1,11,1,16,1,10,1,9,1,16,1,9,1,11,1,9,7,11,1,9,3,16,1,9,1,12,1,9,5,11,1,10,1,9,1,10,1,9,1,13,1,11,1,10,1,12,1,11,1,8,1,12,1,8,1,11,1,8,1,9,1,11,1,9,1,11,1,9,1,11,1,10,1,9,1,8,1,11,1,9,1,11,2,8,1,9,4,11,2,10,1,9,2,10,1,16,1,9,1,8,1,10,1,9,2,11,2,9,1,11,1,8,1,11,1,8,1,10,1,9,3,13,4,6,1,13,3,6,1,7,1,6,2,30,1,28,3,30,1,28,11,8,1,12,1,24,1,8,1,13,1,7,1,29,1,6,1,30,2,29,1,28,4,30,1,29,1,13,1,29,1,30,1,29,1,30,1,6,1,29,1,7,1,28,2,30,2,6,1,30,2,28,1,29,1,30,1,28,1,6,1,28,3,30,1,6,1,29,1,30,2,28,2,30,1,28,23,30,1,13,1,11,1,17,1,8,1,9,1,13,1,9,1,7,1,28,2,30,1,28,2,30,1,28,1,30,1,28,104,29,1,28,1,8,1,6,2,8,2,13,1,30,2,6,1,29,1,13,2,7,1,6,1,13,1,7,1,6,1,30,1,7,1,29,2,8,1,9,1,13,1,30,1,8,2,24,1,30,1,13,3,6,1,7,1,6,1,30,1,6,1,30,2,29,1,7,1,6,1,13,1,6,3,30,1,29,1,30,1,6,2,28,1,6,1,28,1,29,1,6,1,28,16,30,1,28,5,29,1,28,9,29,2,6,1,29,1,6,1,29,1,13,1,6,1,13,1,8,1,7,1,6,1,13,5,8,1,13,2,7,1,13,1,6,2,28,5,6,1,17,32,11,2,17,20,16,2,11,1,13,1,9,2,16,1,11,1,16,2,11,1,16,1,11,2,16,1,9,1,16,1,17,1,16,3,17,1,16,2,9,3,10,1,9,3,13,1,7,1,29,1,13,2,6,1,13,1,6,5,13,1,6,2,13,1,6,1,30,1,6,7,7,1,6,2,13,1,6,1,28,1,30,1,6,1,30,5,6,1,30,3,7,1,30,1,6,2,30,1,6,3,30,1,6,1,13,1,6,5,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,7,1,6,2,30,4,6,2,30,3,6,1,30,7,6,2,30,1,6,1,29,1,6,4,29,1,6,1,29,1,30,1,6,1,30,4,6,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,28,2,30,1,29,1,30,7,6,1,30,1,6,1,28,1,6,1,30,3,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,5,28,1,6,1,30,2,28,2,30,2,29,1,30,1,28,1,30,1,13,1,30,3,6,2,30,2,6,1,30,5,6,1,30,1,6,1,30,2,6,1,29,1,30,3,6,2,30,8,6,1,30,1,6,1,29,1,30,2,28,1,6,1,30,1,28,1,6,1,30,1,6,2,30,1,6,1,29,1,28,1,30,1,6,2,28,1,30,4,28,1,30,3,28,1,30,1,28,1,30,3,13,1,6,2,30,1,6,1,7,1,30,2,6,1,30,2,6,1,30,5,6,1,30,1,6,1,30,2,6,1,13,2,30,1,6,3,13,1,30,1,7,1,13,1,29,1,13,1,6,1,29,1,30,1,6,2,7,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,13,1,30,1,6,1,30,1,6,2,30,1,6,1,7,1,6,1,29,2,30,1,28,1,6,1,30,1,29,1,6,2,30,6,6,1,30,2,29,1,30,1,29,1,30,1,6,4,30,1,6,1,30,1,6,2,29,1,30,1,29,1,6,2,7,3,6,3,30,1,13,2,7,1,30,1,6,1,30,1,13,1,6,1,13,1,6,2,7,1,6,1,30,2,7,1,30,1,7,1,6,1,30,1,6,1,29,1,6,1,30,2,6,1,30,2,6,3,13,1,6,1,13,2,6,2,30,4,6,1,28,1,6,6,30,1,7,1,6,3,30,1,6,1,30,1,6,2,30,1,6,2,30,1,6,2,13,2,29,1,30,1,28,1,30,1,29,1,30,3,28,1,30,2,28,1,6,1,29,1,30,2,28,2,30,3,28,1,30,2,28,3,30,1,28,2,30,3,28,2,8,1,6,1,28,1,9,1,8,1,28,6,30,1,13,2,9,4,8,1,13,1,24,1,10,1,9,1,8,2,6,1,24,1,10,1,9,1,11,1,17,1,16,1,17,1,16,1,17,1,11,1,17,1,11,1,9,2,8,1,13,2,8,3,24,1,12,1,10,1,9,1,24,1,8,1,24,1,10,1,9,1,17,2,12,1,17,1,9,2,7,1,8,1,13,2,8,2,13,1,10,1,24,2,8,1,13,1,8,1,13,1,9,1,11,1,12,1,9,2,13,1,8,1,24,1,11,1,12,1,17,1,9,2,8,1,13,1,8,1,12,1,24,1,13,1,10,1,24,1,12,1,10,2,12,1,24,1,12,2,17,2,12,2,17,1,10,1,12,2,8,1,24,1,7,1,24,1,7,1,26,2,6,1,29,1,8,1,25,1,24,1,8,1,24,2,25,1,8,1,13,1,8,1,25,1,8,1,13,1,25,1,24,1,7,1,6,1,30,1,29,1,30,1,29,1,7,1,6,1,24,1,17,5,12,1,17,6,24,2,10,1,24,2,25,1,24,2,8,1,6,2,29,3,30,1,28,8,30,1,28,3,30,1,28,1,29,1,30,1,29,2,27,1,26,1,6,1,29,1,25,2,29,1,10,1,8,1,24,1,8,2,12,1,24,1,12,3,17,1,10,2,12,2,17,1,10,1,17,1,12,1,17,2,12,1,17,1,12,3,17,2,10,1,12,3,10,1,24,5,10,1,12,1,17,1,8,1,24,3,12,1,8,1,24,2,13,1,8,1,13,1,6,1,13,1,7,1,6,1,24,1,13,1,8,1,30,1,28,2,30,1,6,1,30,2,28,3,30,1,28,2,30,1,28,15,30,1,28,9,30,1,28,5,30,3,28,1,6,1,30,1,6,1,30,1,28,2,30,2,13,2,12,1,13,1,8,1,13,1,24,1,8,4,24,1,6,2,25,4,29,1,8,2,26,1,25,1,8,1,25,1,26,1,8,1,25,1,8,2,29,1,26,1,8,3,26,1,25,1,26,2,8,1,25,1,8,2,6,2,7,1,24,2,8,1,24,1,25,1,24,1,13,1,8,3,13,1,6,1,24,1,8,3,17,1,24,2,8,1,24,1,8,1,6,1,24,2,10,1,24,1,13,1,7,1,24,3,9,1,24,1,10,1,12,1,7,1,10,1,13,1,8,2,24,1,12,1,24,1,7,2,13,1,8,1,10,1,24,3,10,2,12,1,13,1,12,1,8,1,24,1,12,1,24,1,12,1,24,2,10,1,12,1,8,1,24,1,12,1,24,1,9,1,24,1,10,1,12,1,10,3,12,3,17,8,12,1,13,1,28,3,6,1,11,1,9,2,10,1,24,1,12,1,11,1,17,5,11,1,8,1,9,1,10,1,9,3,8,1,13,3,7,1,30,1,28,30,6,3,13,5,9,1,13,1,8,2,13,3,10,2,9,1,10,1,8,4,9,1,13,1,9,2,11,4,10,1,13,2,30,1,13,1,8,3,13,1,7,1,9,1,13,2,8,1,9,4,13,2,8,1,7,1,30,1,13,2,30,2,6,1,28,2,7,1,28,1,13,1,10,1,9,1,13,1,8,2,13,1,29,1,30,1,28,32,6,1,13,3,8,2,13,2,6,1,13,2,11,1,13,2,8,1,13,1,9,1,13,3,7,1,13,1,8,1,13,1,9,1,13,1,7,1,13,1,7,1,30,1,8,1,13,1,7,1,9,1,13,1,9,1,6,1,13,3,8,1,13,3,7,1,6,2,30,1,7,1,6,1,28,1,6,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,28,1,6,1,29,1,6,1,30,1,7,1,13,1,30,1,6,1,29,1,6,1,30,1,6,3,13,1,30,1,13,1,6,1,30,1,13,1,28,1,30,1,13,1,30,1,29,1,13,2,8,1,6,2,9,1,13,3,7,1,13,3,6,1,13,4,8,2,13,2,9,1,13,1,8,1,13,7,8,1,9,1,8,1,9,1,13,3,30,2,6,1,28,3,30,1,29,1,28,4,30,1,6,2,28,4,13,1,6,1,28,8,13,1,15,3,14,1,16,1,8,1,24,1,13,1,8,1,7,1,24,1,7,1,29,1,30,2,13,1,29,1,6,1,7,1,6,2,13,2,9,2,12,1,10,1,9,1,7,1,28,4,30,1,28,1,29,1,28,1,9,1,8,1,7,2,28,3,29,1,28,15,30,1,28,15,24,1,15,1,17,1,13,1,28,1,7,1,11,1,16,1,17,1,12,1,13,1,6,1,13,1,28,3,30,1,6,1,24,1,10,1,12,1,13,1,29,1,28,4,30,1,8,1,24,1,13,1,30,1,28,3,29,1,30,1,13,1,24,2,12,1,9,3,13,1,7,1,6,2,7,1,13,1,12,1,11,1,7,1,28,3,24,1,8,1,6,1,28,1,30,1,28,47,13,1,11,1,9,1,13,1,28,3,}, {28,15,6,3,13,4,7,1,6,1,30,1,28,1,13,1,6,1,13,7,8,1,9,1,8,1,13,1,8,1,10,1,17,4,11,1,13,1,9,1,7,1,28,7,30,1,29,1,6,1,24,1,12,1,30,1,28,6,24,3,13,2,30,2,28,9,24,1,13,1,28,42,30,1,28,1,30,1,29,1,13,1,29,1,7,1,8,1,9,1,17,1,12,1,6,1,29,1,13,1,7,1,6,1,24,1,15,1,7,1,30,1,28,2,7,1,6,1,7,1,29,1,6,2,28,7,13,1,8,1,13,1,10,1,6,1,29,1,28,5,13,1,17,1,12,1,8,2,6,1,8,1,13,1,8,1,24,1,13,2,7,1,8,1,24,1,9,1,8,1,6,3,7,1,13,1,30,1,28,37,30,1,6,1,8,2,13,1,28,5,6,1,24,1,9,1,24,1,12,1,8,1,30,1,28,1,7,1,6,1,28,1,13,2,29,2,6,1,28,1,30,2,6,1,30,2,6,1,29,1,6,1,24,1,8,1,9,1,17,1,12,1,17,1,9,1,13,1,28,18,30,2,29,1,28,13,13,1,8,1,6,1,10,1,9,2,16,1,9,1,11,1,9,1,17,1,9,1,17,1,16,1,9,1,16,1,11,1,9,1,11,1,9,1,16,1,11,1,17,1,11,1,17,1,9,1,11,1,9,3,11,1,9,1,8,1,10,1,9,2,11,1,9,2,11,1,8,1,17,1,11,1,16,1,10,1,9,1,17,1,11,2,17,1,16,1,17,1,9,1,17,2,16,2,17,1,9,2,16,1,9,3,10,1,9,1,11,1,9,2,13,1,10,1,11,1,16,2,11,1,10,1,9,1,16,1,11,4,9,1,17,2,16,1,9,1,11,1,9,1,12,1,10,1,11,1,9,1,16,1,11,1,10,2,9,1,11,3,10,1,17,1,16,2,17,2,11,1,9,1,11,1,9,1,17,1,11,1,17,2,11,1,17,1,11,1,16,1,12,1,13,1,8,1,28,1,29,1,6,2,28,1,30,1,7,1,13,1,7,2,8,1,13,2,24,1,8,1,13,1,9,1,13,1,7,1,30,1,6,1,29,1,6,1,28,1,30,1,28,1,30,1,6,2,28,1,7,1,6,1,28,1,30,1,6,2,30,2,28,1,6,1,28,2,29,1,30,1,28,2,6,2,29,1,28,1,29,1,28,1,29,1,13,1,9,1,13,1,9,2,16,1,9,1,16,1,11,2,16,1,11,1,9,1,11,2,16,1,9,1,11,3,9,2,8,1,11,1,9,2,16,1,11,1,9,1,16,1,10,1,11,1,9,2,8,1,9,3,8,1,9,3,10,2,16,1,9,2,11,1,9,7,13,1,9,1,11,1,9,2,10,1,9,3,11,3,9,1,16,1,9,3,11,1,9,1,11,3,9,3,11,1,16,1,11,1,10,1,9,1,11,2,8,1,10,1,9,2,10,1,8,2,13,1,7,2,13,1,6,1,24,1,6,1,24,1,6,1,30,1,6,1,29,2,28,15,8,2,9,1,13,1,7,1,13,1,28,1,29,1,30,1,28,7,6,1,28,2,30,1,6,1,7,1,30,1,28,1,6,1,13,1,29,1,30,2,13,1,6,3,28,1,7,1,30,1,29,2,30,1,29,1,28,1,6,1,28,1,30,1,28,27,29,1,6,1,11,1,17,1,9,1,13,1,10,1,8,1,24,1,9,1,30,2,7,1,30,1,28,3,30,1,28,103,29,1,28,2,30,1,28,1,6,3,29,1,6,1,13,1,6,2,30,1,6,1,13,1,6,2,30,1,29,1,7,1,29,1,7,1,8,1,13,2,30,1,8,1,13,2,30,1,7,1,13,1,6,2,29,1,7,1,28,1,6,1,30,1,6,1,28,2,30,1,28,1,30,1,28,1,7,1,6,1,29,1,28,6,30,1,28,1,30,1,28,28,30,1,28,1,6,1,13,1,6,2,30,1,13,3,6,2,13,4,8,3,13,3,8,1,13,3,6,2,28,4,13,1,17,30,16,1,17,1,12,1,17,2,12,1,17,19,16,1,17,1,16,2,11,4,16,7,11,1,17,4,16,1,17,1,16,1,9,5,11,1,9,1,13,2,9,2,13,1,6,1,13,2,6,1,13,1,30,1,7,1,6,3,13,1,6,4,29,1,6,2,30,2,6,2,30,1,6,3,30,3,29,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,2,30,3,6,3,29,1,6,2,7,1,6,2,30,1,6,1,30,1,29,1,6,2,30,2,28,1,6,1,29,1,30,2,28,1,30,1,29,1,6,2,29,1,30,1,6,5,30,1,6,1,30,1,6,1,30,1,29,1,6,2,30,1,6,1,30,1,6,1,29,1,6,5,29,1,30,1,6,2,30,5,6,1,28,1,30,1,28,1,30,1,28,1,13,2,28,1,29,1,30,1,29,1,30,3,6,1,28,1,6,2,30,1,29,1,30,2,28,1,30,5,6,1,30,5,6,1,30,1,29,1,30,3,6,1,30,1,6,3,30,3,6,1,30,5,28,1,30,1,6,1,30,4,6,3,30,4,6,1,30,1,29,1,30,1,6,1,30,3,6,1,30,1,6,3,30,2,6,2,7,1,30,2,6,1,30,2,29,1,30,1,6,1,30,2,6,1,29,1,6,2,30,4,6,2,30,1,6,1,13,1,6,1,30,4,6,1,30,1,6,1,30,2,6,1,28,1,30,2,28,1,30,7,28,1,6,1,28,1,6,2,29,1,30,2,6,2,28,1,6,1,28,1,30,1,28,1,6,2,30,1,28,1,6,2,30,1,6,2,30,2,6,1,30,1,13,1,6,1,30,1,6,1,13,1,29,1,6,1,30,2,7,1,6,2,29,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,8,30,2,6,2,30,2,29,1,28,1,30,1,28,1,30,1,28,1,30,6,28,2,30,1,6,1,29,1,6,1,30,1,13,1,30,1,6,5,30,2,29,1,6,1,30,1,6,2,13,1,6,2,29,1,30,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,30,2,13,1,6,1,30,1,13,1,6,3,30,2,13,1,6,2,29,1,30,1,29,1,6,1,29,1,30,3,6,3,13,1,9,1,13,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,2,30,2,29,1,30,1,6,2,13,1,30,1,6,2,30,1,6,1,30,4,6,1,13,1,7,1,30,4,6,5,29,2,30,1,6,1,30,3,6,1,30,7,28,1,30,1,28,2,30,7,28,3,13,1,28,1,13,1,8,1,9,1,7,1,13,1,6,1,29,2,6,1,13,2,8,1,9,1,11,1,10,1,9,1,8,2,24,1,8,1,12,1,8,1,7,1,6,1,13,1,9,1,11,1,9,1,12,1,11,1,16,1,12,1,17,3,11,1,9,2,8,4,13,2,8,1,10,1,12,1,9,2,24,1,8,1,9,2,12,2,17,2,12,1,9,1,6,2,8,1,10,1,13,1,24,1,10,1,13,1,24,1,8,1,24,1,8,3,9,1,10,2,11,1,9,1,24,1,10,1,12,1,9,1,12,1,24,1,13,3,24,1,8,1,24,2,25,1,24,3,10,2,12,2,17,1,12,2,17,1,12,3,24,1,17,2,24,1,6,1,24,1,8,2,25,1,6,2,29,1,8,1,24,3,12,2,24,2,7,1,8,1,25,1,24,1,8,1,13,1,8,2,28,4,29,1,28,1,6,1,8,1,24,1,12,1,17,1,12,2,17,1,12,1,17,1,10,1,17,4,24,2,8,2,13,1,8,1,13,1,6,1,30,1,7,1,30,1,29,1,30,1,28,3,30,1,28,2,30,1,28,8,30,1,29,1,28,1,30,1,27,2,29,1,6,1,8,1,25,1,8,2,24,1,8,1,10,1,24,1,12,1,10,1,17,2,12,1,17,1,10,1,12,1,17,1,12,1,17,1,10,1,17,3,24,1,10,2,17,2,12,1,10,2,9,1,12,1,17,1,10,1,24,5,10,1,24,1,10,1,8,1,24,2,25,1,8,1,25,1,7,1,13,1,25,1,29,1,26,1,6,1,7,1,8,1,7,1,6,1,8,1,9,1,6,1,28,1,6,1,30,1,6,1,28,1,30,1,28,2,30,1,28,5,30,1,28,1,30,2,28,14,30,1,28,3,30,3,28,4,30,1,28,2,30,3,28,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,13,1,8,1,12,1,13,1,8,1,13,1,7,1,8,1,13,1,7,1,6,1,13,1,6,1,8,1,27,1,8,1,29,1,8,1,25,1,29,1,25,2,24,1,25,1,8,1,26,1,27,1,29,1,25,1,29,1,27,1,25,1,29,1,25,1,8,1,26,1,25,4,8,1,24,1,25,1,6,1,8,3,7,1,25,1,24,1,8,2,13,1,8,2,7,1,8,1,24,1,25,1,8,1,7,1,8,1,7,1,24,1,8,1,7,2,8,1,9,1,6,1,24,1,8,1,9,1,24,1,9,1,8,1,13,1,9,1,12,1,8,1,9,2,24,1,10,1,13,2,24,1,12,1,8,2,13,1,8,1,24,1,12,1,24,1,12,1,24,1,10,1,24,3,10,1,8,1,24,1,12,1,24,4,10,1,8,1,24,2,12,1,24,1,12,1,8,1,24,1,10,1,24,1,12,1,24,2,10,1,17,1,12,2,17,5,11,1,17,1,11,1,28,4,30,1,13,1,9,1,10,1,9,1,10,1,8,1,11,2,10,1,12,1,17,2,12,1,10,3,8,1,9,1,8,1,9,1,24,1,7,2,13,1,7,1,6,1,28,29,7,1,6,1,29,1,7,1,6,1,7,2,8,2,13,1,11,1,13,3,9,1,11,2,9,1,8,4,9,1,8,1,9,1,8,1,9,1,11,1,12,1,11,1,10,1,11,1,6,2,9,1,6,1,13,2,9,2,13,5,9,1,13,2,9,1,8,1,6,1,8,1,13,1,7,1,6,1,13,2,6,1,30,1,6,1,28,1,30,1,28,1,13,1,9,2,13,1,9,2,13,1,30,1,28,1,30,1,28,31,6,1,13,1,9,1,13,4,6,2,9,1,7,1,13,2,9,2,8,1,13,1,8,1,9,1,13,2,9,2,13,1,8,1,6,1,13,4,6,1,13,5,30,1,13,2,6,1,13,1,6,1,13,1,6,1,30,1,13,1,6,1,9,1,29,1,6,1,29,2,30,2,29,1,13,1,6,1,30,1,13,1,30,1,6,1,28,3,30,1,13,1,30,2,28,1,30,1,13,1,7,2,9,1,7,1,6,1,13,1,6,2,30,1,28,1,13,2,6,1,30,1,29,1,13,1,8,1,6,1,8,1,9,1,13,2,8,1,13,1,9,1,13,1,7,1,8,1,6,1,13,2,9,1,13,3,8,2,13,1,9,1,6,1,9,1,6,1,13,2,8,1,13,3,8,1,9,1,6,1,13,3,6,2,28,1,30,1,28,1,6,1,30,1,28,2,30,3,6,1,30,1,28,4,6,1,7,1,30,1,28,7,29,1,14,2,9,1,14,1,12,2,24,1,13,1,6,1,13,1,6,2,30,1,29,1,6,1,29,1,13,1,6,1,7,1,6,1,13,1,8,2,9,1,24,1,9,1,17,1,9,1,6,1,28,7,29,1,9,2,8,1,6,1,28,34,30,1,9,1,12,1,11,1,8,1,13,2,17,1,10,1,16,1,9,2,29,1,30,1,28,3,29,1,13,2,9,1,10,1,8,1,13,1,28,3,30,1,29,1,13,1,11,1,7,1,28,2,30,4,13,1,8,1,10,1,8,1,17,2,24,1,13,1,6,1,30,1,29,1,7,1,24,1,9,2,6,1,28,3,8,1,9,1,6,1,30,1,28,48,13,1,9,1,24,1,28,4,}, {28,11,29,1,28,1,6,2,13,2,7,1,13,1,7,1,6,1,30,1,29,1,6,1,30,2,13,1,6,1,13,1,6,1,13,1,8,1,13,1,8,1,9,2,8,1,9,1,13,1,8,1,10,1,16,1,17,3,11,1,9,1,17,1,13,1,29,1,28,1,30,1,28,3,30,1,28,2,8,1,24,1,12,1,30,1,28,5,29,1,24,1,8,1,24,1,8,1,24,1,30,1,29,1,28,8,30,1,29,1,8,1,13,1,28,12,30,1,28,28,30,1,28,1,30,1,28,1,29,1,13,2,7,1,12,1,10,1,15,1,30,1,13,3,8,1,10,1,9,1,8,1,28,2,6,1,30,1,7,1,6,1,30,2,6,1,29,1,28,6,29,2,8,1,9,1,13,1,28,6,8,1,17,1,12,1,8,1,13,3,8,1,24,1,8,1,6,1,13,2,9,1,10,2,13,2,6,3,13,1,30,1,6,1,28,37,29,1,13,1,6,1,8,1,28,5,30,1,8,1,24,1,10,2,24,1,30,1,8,1,6,2,13,1,6,1,8,1,6,1,29,1,6,1,30,1,28,1,30,1,6,2,30,2,6,1,7,1,24,1,9,1,8,1,9,1,15,1,17,1,14,1,29,1,28,16,30,1,6,1,28,1,29,1,6,1,28,13,6,1,9,1,13,1,9,2,11,1,16,1,10,1,16,1,17,3,16,3,10,1,11,1,9,1,11,1,10,1,11,1,9,1,11,2,16,1,10,1,16,1,9,3,11,1,16,1,10,1,16,1,11,1,9,1,11,1,9,1,11,1,16,3,9,1,10,1,16,1,17,1,16,2,9,1,16,4,11,2,16,3,11,2,9,1,16,1,10,1,9,1,10,1,11,4,9,1,11,1,9,5,16,1,13,1,16,1,11,1,16,2,9,1,17,1,9,2,10,1,8,1,9,1,8,1,9,3,10,1,9,2,11,1,17,1,16,1,9,1,16,1,12,1,10,1,12,1,11,4,9,2,10,1,9,1,11,1,16,2,10,1,16,2,10,1,11,1,7,2,6,2,30,1,28,1,30,2,6,1,13,4,6,1,13,3,16,1,9,2,13,1,28,1,7,1,28,2,30,1,29,1,6,1,30,2,28,2,30,1,28,1,29,1,6,1,30,1,6,2,28,2,6,2,30,1,6,1,30,3,29,2,7,1,30,2,29,1,6,2,13,1,9,2,11,2,16,1,11,1,16,1,9,1,11,2,16,1,11,2,9,1,16,1,11,1,9,2,11,1,16,2,9,1,11,1,9,3,16,1,11,1,9,3,8,1,9,2,12,1,8,1,9,6,11,1,9,2,12,1,9,2,11,1,9,4,16,1,11,1,9,8,10,1,9,1,11,2,9,1,11,2,9,1,10,1,11,1,16,1,9,1,11,1,16,1,9,3,11,1,9,1,16,1,9,6,11,1,9,2,13,1,24,1,6,1,7,1,6,1,24,1,6,1,13,1,28,2,7,1,28,3,30,3,28,11,8,1,12,1,24,1,9,1,13,2,30,1,28,2,30,1,28,6,29,1,6,1,28,1,30,1,6,1,30,1,6,1,30,2,29,1,28,1,29,1,6,1,28,1,29,1,6,2,30,1,29,1,28,2,6,1,28,1,30,2,29,1,30,1,28,1,29,1,28,25,30,2,13,1,12,1,9,1,10,1,9,1,13,1,8,1,13,1,11,1,8,1,13,1,30,1,6,1,30,1,28,7,29,1,28,102,30,1,7,2,30,1,6,2,28,1,6,1,13,1,6,2,29,1,7,1,6,2,29,2,6,1,13,1,7,1,30,2,29,1,30,1,7,1,29,1,13,1,6,1,29,1,8,1,29,2,7,1,28,5,30,1,29,1,28,1,29,2,30,1,28,1,30,3,28,1,30,1,28,19,29,1,28,1,6,1,30,1,28,2,30,1,28,5,30,1,28,4,30,1,28,1,6,1,30,1,29,1,7,1,13,1,6,2,13,1,6,1,8,2,13,2,8,1,9,1,13,1,8,1,13,2,6,1,7,2,6,2,30,1,28,1,6,1,17,56,16,1,11,2,16,1,11,2,16,8,11,1,16,1,17,6,16,1,9,3,10,1,9,3,13,5,6,1,13,2,6,1,7,1,6,1,13,1,6,2,30,1,13,1,30,1,6,1,29,1,6,3,29,2,30,2,29,1,7,1,6,3,29,1,7,1,30,4,6,1,30,2,29,1,30,1,28,2,30,2,6,1,30,1,29,2,6,1,13,1,30,1,6,1,30,1,7,1,6,1,30,1,6,5,29,1,6,2,28,1,30,1,29,1,30,3,6,2,29,1,6,2,30,1,29,1,6,3,13,1,30,3,6,4,29,1,6,1,30,1,6,2,13,1,7,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,2,6,1,28,1,9,1,17,1,28,1,6,1,30,1,29,1,6,1,30,1,6,1,28,1,7,1,28,1,30,3,28,1,30,1,28,1,30,1,29,1,30,4,6,1,30,1,28,1,30,2,28,1,6,1,28,1,30,1,29,1,30,2,6,1,28,1,6,2,29,1,30,2,28,1,30,2,6,1,30,7,6,1,30,1,6,3,30,2,6,1,30,1,28,1,30,4,6,1,30,1,6,1,30,1,6,8,13,1,30,1,29,1,13,1,6,1,30,1,6,3,30,2,6,1,29,1,6,1,29,1,6,2,30,3,29,1,30,1,6,2,13,1,30,1,6,1,29,1,28,1,6,1,30,3,28,1,6,1,29,1,28,1,30,1,6,1,28,1,30,1,28,2,30,3,28,1,13,1,6,1,30,1,13,1,6,1,7,1,13,1,6,1,30,1,6,2,29,1,6,1,30,1,28,2,29,1,6,1,30,2,28,1,30,2,7,1,13,1,6,1,30,1,6,5,30,1,6,2,30,1,13,1,30,2,6,1,30,2,6,1,30,2,6,1,29,1,30,1,6,4,30,1,13,1,6,2,30,2,6,1,28,1,30,1,29,1,30,3,28,2,30,2,28,3,30,3,6,1,30,2,28,1,30,1,7,1,30,1,29,1,6,6,30,2,6,1,13,1,6,1,13,1,6,1,7,1,6,1,30,1,6,1,30,1,6,3,30,1,6,1,30,1,6,7,30,1,6,2,29,1,6,2,29,1,30,1,6,2,30,1,28,1,30,1,6,1,30,2,6,1,30,1,7,1,9,2,30,1,28,1,6,2,30,2,6,1,28,1,6,4,30,3,6,1,29,1,30,3,6,1,30,3,6,1,30,1,29,1,30,1,28,1,30,1,7,1,30,1,6,3,13,2,30,7,6,1,28,1,6,1,30,1,28,1,30,1,28,3,30,3,28,1,30,1,29,1,6,1,30,2,28,1,30,2,28,3,6,1,13,1,8,1,13,1,9,1,6,1,7,1,13,3,9,2,13,1,11,4,9,1,8,2,13,1,7,1,24,1,10,1,13,1,6,2,13,1,8,1,12,1,16,2,17,1,11,1,16,1,17,4,10,1,13,2,7,1,13,1,8,1,24,2,10,1,24,3,13,1,9,1,10,2,11,1,10,1,12,1,11,1,9,1,8,1,7,1,8,1,24,1,8,1,13,1,9,3,24,2,10,1,8,1,24,2,8,1,11,1,17,1,9,1,24,1,11,1,10,1,9,2,24,1,7,1,13,1,7,1,30,1,24,1,8,1,24,3,10,1,8,1,24,4,17,2,12,4,24,2,10,1,24,1,10,1,24,1,8,2,25,1,8,1,25,3,8,1,24,1,12,1,24,1,12,2,24,2,8,1,24,1,25,1,7,2,8,1,7,1,13,1,6,1,28,4,30,1,28,2,7,1,24,1,10,2,12,3,24,1,12,1,24,1,10,2,12,3,8,1,25,1,24,1,7,1,8,2,7,1,6,2,29,1,30,4,28,3,30,1,28,7,30,2,28,1,27,1,29,1,30,2,26,1,6,1,26,1,8,1,24,1,8,1,24,3,8,1,12,1,10,1,24,1,12,1,17,3,12,4,10,2,17,2,12,1,17,1,12,1,17,1,12,1,17,1,9,2,10,1,9,2,17,1,10,1,24,1,10,1,24,1,8,1,24,1,8,3,6,1,29,2,6,1,30,2,28,2,6,2,7,1,13,1,24,1,13,1,24,2,12,1,8,1,28,1,6,1,30,3,28,4,30,1,28,5,30,2,6,2,30,1,28,12,30,1,28,1,30,1,28,5,30,2,28,4,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,12,1,13,1,8,1,7,1,24,1,8,2,13,1,8,1,30,1,7,1,25,2,26,1,25,1,8,1,25,2,24,1,27,3,26,1,25,2,26,1,8,1,27,2,29,1,30,1,6,1,27,1,8,1,27,1,25,1,8,2,25,1,8,1,24,1,25,1,8,1,6,1,24,1,8,3,24,1,8,1,24,2,8,1,24,2,7,1,8,1,13,1,8,1,24,1,8,1,6,1,24,1,13,1,8,2,25,1,24,4,8,1,24,3,10,1,24,1,10,1,24,1,9,1,8,1,9,1,24,1,12,1,24,2,8,1,7,1,12,1,8,1,24,4,8,1,12,1,8,1,24,1,8,2,24,1,12,1,8,1,24,2,12,1,8,1,24,1,8,2,10,1,12,2,10,2,8,1,12,1,24,1,12,1,10,1,12,1,17,1,12,2,17,8,12,1,8,1,28,4,30,1,7,1,13,1,10,1,9,1,11,1,9,1,10,1,17,1,10,1,17,1,11,1,17,1,12,1,17,1,12,1,9,1,10,1,8,1,9,2,8,1,9,1,13,1,30,1,13,1,6,2,28,27,30,2,28,1,13,1,6,1,7,1,6,2,8,1,13,3,11,1,13,2,8,1,11,1,12,1,9,1,24,1,11,1,8,1,13,1,24,1,13,1,8,1,13,2,10,1,17,1,11,1,12,1,9,1,10,1,9,2,13,1,11,1,9,1,13,1,9,1,13,2,8,1,9,1,8,1,13,2,9,1,8,1,13,2,8,2,6,2,29,1,6,1,28,1,30,1,28,1,13,1,28,2,6,1,9,2,11,1,13,1,9,2,30,2,28,32,30,1,13,3,8,1,13,6,9,1,13,1,9,1,8,1,13,3,9,1,6,1,9,3,8,1,9,1,13,5,6,2,7,1,6,1,13,3,8,1,13,7,29,1,13,2,7,1,13,3,30,2,6,1,30,1,29,1,30,3,6,1,28,1,30,2,28,1,30,1,6,1,13,1,30,1,29,1,30,1,7,1,13,3,7,1,13,1,7,1,13,1,6,1,30,1,6,1,13,4,8,1,13,1,10,1,9,2,13,1,9,1,10,1,9,2,8,1,13,6,8,1,13,1,9,1,8,1,13,1,9,1,13,1,9,2,13,2,9,1,13,2,9,1,13,8,6,1,30,1,28,3,30,1,28,1,30,1,28,3,13,1,6,1,28,4,7,1,6,2,28,7,29,1,14,3,15,1,9,1,8,2,6,2,8,1,29,1,13,1,6,1,7,1,6,1,29,1,13,5,6,1,13,1,24,2,12,2,8,1,13,1,28,7,6,1,11,1,9,1,24,1,29,1,28,35,8,1,17,2,13,3,11,1,12,1,11,2,8,1,13,1,28,4,13,1,29,1,8,1,15,1,24,1,8,1,6,1,28,4,30,1,8,1,15,1,7,1,28,4,6,1,30,1,8,1,9,1,8,1,12,1,10,3,13,1,29,1,30,2,6,1,9,1,17,1,9,1,29,1,28,2,30,1,8,2,13,1,28,49,8,1,9,1,12,1,30,1,28,3,}, {28,8,30,1,13,1,7,1,13,3,6,1,13,4,6,2,28,1,30,1,28,1,6,4,13,5,9,2,8,2,13,1,8,1,13,1,9,1,17,4,9,4,28,9,6,1,9,1,12,1,30,1,28,6,24,1,13,1,24,1,8,1,13,1,7,1,28,10,6,1,24,1,28,13,6,1,28,32,29,1,6,2,7,1,10,1,17,1,10,1,13,1,6,1,7,1,6,1,9,1,7,2,29,1,28,2,30,1,6,4,29,2,30,1,28,7,13,1,9,1,12,1,8,1,6,1,28,5,13,1,10,1,24,1,8,4,24,1,9,3,13,1,24,1,8,1,9,2,7,1,6,3,8,1,6,2,28,36,29,1,28,1,30,1,13,1,8,1,6,1,28,5,6,1,8,1,13,1,8,1,24,1,8,1,6,1,7,1,30,1,13,1,29,2,7,1,6,1,28,1,29,1,6,1,29,1,28,3,6,3,29,1,8,1,13,1,10,1,12,1,24,1,17,2,28,17,30,3,28,1,29,1,28,13,6,1,9,2,10,1,16,1,11,2,16,1,11,2,16,1,11,1,16,1,11,2,16,1,17,1,10,1,9,1,16,1,9,1,11,1,9,1,11,1,17,1,9,1,16,4,9,1,11,1,16,1,11,1,9,1,17,1,9,1,11,2,9,1,11,3,16,1,11,1,9,1,17,1,9,1,11,1,16,1,9,1,16,1,11,1,9,3,16,6,13,1,11,1,16,1,11,1,16,3,9,2,16,1,11,1,10,1,16,1,13,1,11,1,9,1,16,2,11,2,9,1,10,1,11,1,16,1,9,2,11,1,9,1,16,1,9,1,11,3,10,2,11,3,9,1,11,1,8,1,11,1,9,1,11,2,12,1,9,1,16,1,11,1,9,1,10,1,11,2,16,1,11,1,16,2,9,1,13,3,28,1,13,1,30,1,6,1,28,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,13,2,17,1,13,1,8,1,6,1,30,1,6,1,28,2,13,1,30,1,29,1,28,1,6,2,30,1,28,1,7,1,13,1,28,1,29,2,28,1,7,1,30,1,6,1,30,1,6,1,28,1,6,2,28,1,29,2,6,1,28,1,6,2,28,1,30,1,7,1,6,1,9,2,11,3,16,1,10,1,11,1,16,2,11,2,16,1,9,1,10,1,16,2,8,1,10,1,16,1,9,1,10,1,11,1,16,1,9,5,10,1,9,1,8,1,9,5,16,1,10,1,11,1,9,1,16,1,9,1,8,2,9,2,11,2,9,1,10,1,13,1,9,2,17,1,11,1,16,1,9,1,11,1,9,1,11,1,13,1,9,1,10,1,9,2,11,1,10,1,16,1,9,1,11,1,9,2,11,1,9,2,11,1,16,1,9,1,11,1,9,1,11,1,16,2,9,3,11,1,13,2,9,1,13,3,6,1,13,1,7,1,13,1,7,2,13,1,28,1,6,2,29,1,28,14,13,1,12,1,8,1,24,1,6,1,8,1,29,1,28,1,29,1,30,1,28,5,30,1,29,1,30,2,28,1,29,2,30,2,29,1,30,1,28,2,6,2,30,1,28,1,30,1,29,3,28,1,29,1,28,1,30,1,28,3,30,3,28,26,13,1,9,2,11,1,8,2,6,1,28,1,13,1,9,1,24,2,8,2,29,1,30,2,28,3,30,2,28,100,29,1,28,2,30,1,7,1,29,1,6,3,28,1,29,1,30,1,6,5,30,2,6,1,8,1,29,2,28,1,30,2,7,1,6,1,29,1,13,1,28,1,7,1,6,1,30,1,29,1,30,1,28,5,30,1,28,3,30,1,28,26,30,2,28,2,30,1,28,4,30,1,28,2,30,3,29,1,6,2,29,1,7,2,13,1,7,2,29,1,6,1,7,2,6,1,8,1,13,4,8,1,13,1,10,1,13,1,7,1,6,1,7,1,29,2,30,1,13,1,17,36,12,1,17,19,16,3,11,1,16,2,11,1,16,5,9,1,16,3,17,3,16,1,17,1,16,1,11,1,9,6,13,2,6,1,13,1,9,1,6,1,30,1,13,1,6,2,13,1,6,1,30,1,7,1,6,7,30,3,6,1,30,2,29,1,6,1,30,1,6,2,30,2,6,2,29,1,30,6,6,1,29,1,6,1,30,1,6,1,30,1,13,1,7,1,6,1,13,1,6,3,13,1,6,1,29,1,6,2,30,1,13,2,30,1,6,2,29,1,7,1,30,1,6,4,30,1,6,2,7,1,6,2,30,1,6,1,29,1,13,1,28,1,6,2,29,1,6,2,30,1,28,1,29,1,6,1,29,1,13,1,28,1,13,1,30,1,7,1,6,2,30,1,28,1,6,1,30,2,6,1,30,4,28,1,30,1,28,1,16,1,9,1,13,1,7,1,6,1,30,3,28,1,30,6,28,1,30,3,6,1,30,4,6,1,30,1,7,1,6,2,29,1,6,1,30,1,29,2,30,2,6,1,30,5,29,1,30,1,6,1,28,1,30,2,28,1,30,1,6,1,28,1,6,1,30,2,6,1,29,1,6,1,30,2,6,1,30,2,29,1,30,1,28,1,30,2,6,1,30,1,29,1,6,1,30,2,6,1,13,1,6,6,30,3,6,1,29,1,6,1,30,1,6,2,30,1,6,1,30,2,28,2,30,6,13,1,30,5,28,1,6,1,29,1,30,1,6,1,28,2,6,1,30,2,6,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,9,1,30,1,6,1,13,1,6,1,30,1,7,1,30,1,6,1,30,2,6,4,30,1,6,2,30,1,6,1,30,1,6,1,13,1,6,1,29,1,13,1,30,1,7,1,6,1,13,1,30,1,13,2,6,3,13,1,30,1,6,1,30,3,6,4,30,1,6,1,30,1,6,1,13,1,6,1,30,2,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,3,6,1,30,2,6,2,30,1,29,1,30,2,6,2,30,2,6,1,30,1,7,1,29,1,6,1,13,1,30,1,6,1,29,1,6,2,29,1,13,1,6,1,30,3,6,5,30,1,6,2,29,2,30,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,7,1,9,2,30,2,6,1,29,1,7,1,6,1,29,1,6,4,30,2,6,1,30,2,6,1,30,1,6,1,30,3,6,1,28,1,6,1,28,1,6,1,7,1,6,1,30,1,13,1,30,1,29,1,6,4,30,1,6,1,30,6,29,1,6,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,5,28,2,30,2,28,2,30,1,13,1,6,1,9,2,13,1,8,2,13,1,9,2,12,3,9,2,16,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,6,2,13,1,8,1,12,1,17,1,16,1,17,1,16,1,17,4,12,1,10,1,24,1,13,1,8,1,24,1,8,1,24,1,9,2,10,1,24,2,8,1,12,3,9,1,12,1,9,1,12,1,24,1,8,1,13,1,24,1,7,1,24,1,13,1,8,2,24,1,8,1,24,2,8,2,9,1,24,2,12,1,17,1,12,1,24,1,8,1,24,1,6,1,7,1,13,1,8,1,7,1,24,2,12,1,24,2,10,1,25,1,24,3,25,1,24,2,10,1,24,1,10,2,12,3,10,1,12,1,24,1,12,1,24,2,8,1,26,1,25,1,8,1,24,1,10,1,12,2,10,1,12,1,10,2,25,1,24,1,7,1,6,1,8,2,6,1,7,2,29,1,28,5,30,1,29,1,6,1,25,1,24,1,10,1,24,1,12,1,24,1,13,1,8,1,6,1,8,2,17,1,12,1,24,1,6,1,24,1,8,1,13,1,8,2,7,1,25,1,29,1,28,2,30,1,28,7,30,1,28,3,30,1,28,1,29,1,28,1,29,1,30,1,29,1,30,1,26,1,29,1,6,1,26,1,6,1,24,2,13,1,24,1,10,2,24,1,17,1,12,2,17,1,12,2,17,1,12,3,9,1,17,1,10,1,17,1,12,1,17,2,9,1,12,1,17,1,12,1,10,1,17,1,9,1,17,1,10,1,24,1,9,1,8,2,13,1,8,1,13,1,29,1,6,2,30,1,7,1,30,2,29,1,6,1,29,3,24,5,10,1,13,1,28,2,7,1,30,1,6,1,30,1,28,1,30,1,28,4,30,1,28,3,30,1,28,7,30,1,28,1,30,1,28,6,30,1,28,3,30,1,28,1,30,1,28,6,30,2,6,1,28,2,30,3,28,2,30,1,6,1,30,1,9,1,12,1,13,1,24,1,13,1,25,2,8,1,24,1,29,1,7,1,25,3,8,1,26,1,8,1,30,1,26,1,25,1,24,1,25,2,26,1,24,1,27,1,29,1,28,1,8,1,29,1,27,1,8,1,30,1,25,2,27,1,29,1,6,1,25,1,8,2,6,1,24,1,13,1,8,1,24,1,13,1,25,1,12,1,6,1,24,2,13,1,8,1,13,1,7,1,24,2,8,1,24,1,8,1,13,1,24,1,13,1,8,2,24,2,8,1,24,1,13,2,8,1,10,1,8,1,10,1,24,1,10,1,13,1,8,1,24,2,10,1,8,1,24,1,6,1,8,1,10,1,24,1,12,1,24,1,10,1,24,2,12,1,25,1,10,1,24,2,8,2,12,1,8,1,12,1,8,1,17,1,24,3,10,1,24,3,10,1,24,1,10,1,8,1,10,1,8,1,10,2,24,1,17,1,12,2,17,1,12,1,17,7,6,1,28,5,29,1,7,1,8,1,10,1,9,2,11,1,8,1,11,1,10,1,12,1,11,1,12,1,17,2,12,1,17,1,12,1,8,3,9,1,8,1,13,4,29,1,28,28,13,2,6,2,13,1,7,1,9,1,7,1,13,1,8,1,24,1,13,1,10,1,24,1,11,1,12,1,24,1,13,1,9,1,8,1,24,1,9,1,8,2,6,1,13,2,10,1,9,1,17,1,11,1,9,3,13,1,9,1,13,1,8,1,11,1,13,1,9,1,10,1,9,3,6,1,13,1,9,1,13,3,8,1,13,2,6,1,30,1,28,1,30,1,6,1,30,1,29,2,6,1,9,2,10,1,9,1,8,1,6,2,30,1,28,32,6,1,13,1,8,3,13,2,7,1,9,1,13,2,8,1,13,3,8,1,13,1,9,1,8,1,9,3,13,2,6,1,8,1,7,1,13,1,30,1,13,1,29,1,13,2,8,1,13,2,8,1,13,1,9,1,13,3,7,1,30,1,8,1,13,2,28,1,9,1,30,1,29,1,6,1,29,1,13,1,6,1,29,1,13,1,28,1,30,1,29,1,28,3,6,1,8,1,28,1,6,4,29,2,13,1,6,1,13,5,30,1,13,1,6,1,13,4,9,1,13,3,10,2,11,1,13,3,8,1,10,1,13,3,7,1,13,3,8,1,9,2,13,1,9,3,13,2,6,1,13,3,8,1,13,6,8,1,13,1,6,1,28,1,6,1,28,2,30,1,28,1,6,1,30,1,6,3,28,4,30,1,13,1,28,1,30,1,28,6,9,1,10,1,14,2,12,1,9,1,8,2,7,1,6,1,13,1,7,1,6,1,13,1,30,1,29,1,30,1,29,1,7,1,13,2,7,1,8,1,9,2,8,1,12,1,17,1,24,1,13,1,28,6,30,1,6,1,9,2,13,1,29,1,28,33,30,2,13,1,17,1,9,1,24,1,13,2,8,1,17,2,13,2,28,1,30,4,7,1,9,1,10,1,9,1,8,2,7,1,28,4,29,1,9,2,13,1,28,2,29,1,30,1,13,1,6,1,9,1,8,1,9,1,17,1,15,1,12,1,9,1,8,1,7,1,29,1,6,1,13,1,10,1,12,1,24,1,7,1,28,1,30,2,24,1,13,1,8,1,28,2,30,1,28,15,30,1,28,13,29,1,28,16,8,1,9,1,11,1,30,1,28,3,}, {28,2,30,2,28,1,30,1,29,1,13,1,8,1,13,2,7,1,13,4,29,1,13,2,6,2,8,1,28,1,6,2,8,1,6,3,13,2,8,1,13,1,9,3,8,1,9,1,8,1,9,1,12,1,17,5,9,1,12,1,8,1,28,8,29,1,30,1,8,1,24,1,6,1,28,6,13,1,9,1,24,1,6,1,13,1,30,1,28,10,6,1,9,1,6,1,28,12,30,1,28,29,30,1,28,1,30,1,6,1,7,1,29,1,7,1,24,1,17,1,15,1,8,1,13,3,6,2,8,2,28,2,30,1,6,2,29,1,6,1,29,1,6,1,28,8,6,1,24,1,14,1,13,1,30,1,28,5,6,1,24,1,12,1,24,1,12,1,7,1,24,2,8,1,13,1,8,1,13,1,8,1,13,1,15,1,8,2,6,1,13,2,6,1,30,1,29,1,28,35,30,1,28,2,13,1,24,1,8,1,7,1,29,1,28,4,30,1,8,2,24,1,9,1,6,2,8,1,6,1,8,1,28,1,29,1,30,1,29,1,30,1,6,1,29,1,6,1,28,1,30,1,6,1,29,1,30,2,29,1,13,1,6,1,13,1,24,1,10,1,15,1,12,1,13,1,28,12,6,1,28,3,29,1,28,1,30,1,28,1,30,1,28,13,13,1,9,1,13,1,9,1,11,2,16,1,17,1,16,1,11,1,16,1,9,1,16,1,17,1,16,4,11,1,9,1,16,3,11,1,16,1,11,2,16,1,11,2,16,2,10,1,17,1,11,1,17,1,11,1,17,1,11,2,17,1,16,1,11,2,17,1,16,1,9,1,17,1,9,1,16,1,11,3,16,2,11,1,10,1,16,1,17,1,11,1,10,1,16,3,9,1,17,1,9,2,17,1,11,1,16,1,9,2,16,2,10,1,16,1,11,1,16,1,11,2,10,1,9,3,8,1,16,1,9,1,16,1,9,1,10,1,9,1,11,2,16,1,9,4,11,2,10,1,11,1,10,1,12,1,16,2,17,1,9,1,16,1,11,1,9,1,16,1,9,1,16,1,11,2,16,1,17,1,8,1,13,1,6,2,13,1,30,1,6,1,13,1,28,1,13,1,28,1,6,2,13,1,6,1,9,1,13,1,8,1,11,1,13,1,8,1,29,1,28,2,29,1,28,1,30,1,28,1,30,2,29,2,30,1,28,1,6,1,13,1,6,1,30,1,6,2,30,1,6,1,28,1,6,2,28,1,29,1,6,1,30,1,28,1,6,1,28,1,6,1,30,1,28,1,30,1,28,1,29,2,9,1,11,1,9,1,10,1,11,3,16,3,10,1,16,1,11,2,16,2,11,2,16,1,10,1,11,1,9,2,10,2,9,2,10,1,8,1,10,1,9,5,10,1,9,1,8,1,9,2,10,1,11,2,9,1,11,1,9,1,11,1,8,1,9,2,11,1,9,2,8,1,9,2,10,1,9,1,7,1,11,1,9,1,10,1,9,2,16,1,9,2,11,1,10,1,9,1,11,2,16,1,9,1,11,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,11,2,8,1,9,1,11,1,9,1,6,1,8,1,13,1,8,1,13,1,7,2,6,1,24,1,6,2,29,1,30,1,28,1,6,1,28,1,29,1,28,14,9,2,10,1,8,1,6,1,13,1,6,1,29,1,30,2,28,1,29,1,28,4,30,3,6,1,28,1,29,1,7,1,6,1,30,1,6,1,13,1,29,2,30,1,28,1,30,1,29,3,28,1,6,1,28,1,29,1,30,2,29,1,28,3,30,1,28,1,29,1,28,23,30,1,13,1,9,1,8,1,9,1,8,1,13,1,29,1,30,1,28,1,29,1,8,2,9,2,8,1,7,1,13,1,30,1,28,1,6,1,30,1,28,4,30,1,28,96,30,1,28,3,29,2,28,1,6,1,29,1,28,1,6,1,28,1,29,2,28,1,6,1,30,1,28,1,30,1,8,1,6,1,28,1,30,1,28,1,6,2,28,1,6,1,30,1,6,1,28,1,29,1,30,2,28,40,30,1,28,2,30,1,28,2,6,1,30,1,28,1,30,3,28,1,6,1,28,1,6,1,30,1,6,2,13,1,29,1,7,1,6,2,8,1,30,1,7,1,13,2,7,1,13,1,7,1,13,1,9,1,8,1,13,1,9,1,8,1,13,2,6,1,28,1,13,1,17,36,11,1,17,20,16,3,9,1,11,1,16,1,11,1,16,1,11,1,16,6,17,6,11,1,9,5,10,1,6,1,13,1,6,1,8,1,9,1,6,1,13,3,6,1,13,1,29,1,13,1,6,3,30,2,13,1,30,2,6,3,30,1,6,2,30,1,6,1,30,3,28,1,30,2,6,4,30,2,29,1,6,2,30,4,6,2,30,1,6,3,13,2,29,1,13,1,29,1,30,1,6,4,30,1,7,1,6,3,30,1,6,2,30,1,6,4,13,1,30,1,6,1,13,1,6,2,29,1,13,1,6,1,13,1,6,1,28,1,6,2,30,1,6,1,30,1,6,1,13,1,6,2,7,1,30,1,13,1,28,1,30,5,6,1,30,6,6,1,9,2,13,2,6,1,30,5,6,2,28,1,30,1,29,1,28,1,30,3,29,1,30,6,6,1,30,2,29,1,6,1,30,1,6,1,30,2,6,1,30,3,6,1,30,1,29,1,30,1,28,1,30,5,28,1,30,1,6,1,30,1,29,1,30,4,6,1,28,1,30,2,6,1,30,5,28,1,6,2,7,1,6,4,7,1,6,2,13,1,30,1,6,1,30,3,28,1,6,1,30,2,6,2,30,2,6,1,30,2,29,1,28,1,6,1,30,3,6,1,13,1,6,3,30,1,6,1,30,2,29,1,30,1,28,1,30,1,6,1,30,2,29,1,30,5,6,2,30,1,13,1,6,1,7,1,6,2,13,2,6,1,29,2,30,1,13,1,6,1,30,2,6,3,28,1,6,2,13,1,6,1,13,1,6,3,29,1,6,3,30,1,29,3,6,4,30,1,6,1,30,3,6,1,29,1,6,2,30,1,6,1,29,1,6,1,30,3,28,1,6,1,30,1,28,1,29,1,30,2,28,1,30,1,28,1,29,2,30,4,6,1,28,3,30,3,6,1,29,1,6,1,30,5,6,3,30,1,13,1,30,1,13,1,6,2,30,1,6,3,13,1,30,1,6,3,30,1,6,8,30,1,6,3,30,1,6,1,30,1,6,4,30,2,6,3,30,1,28,1,6,1,30,1,9,2,30,2,6,1,30,1,6,1,30,1,6,1,28,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,7,1,6,2,30,2,28,1,6,3,30,1,6,3,30,1,6,2,29,1,6,1,30,1,6,2,30,1,6,2,30,1,6,2,30,3,28,1,30,1,28,1,30,3,28,1,30,3,6,1,30,1,29,1,30,1,28,1,30,2,28,6,13,1,28,1,9,2,8,2,9,1,10,1,8,1,9,3,11,2,9,2,24,1,13,1,8,1,13,3,24,1,9,1,28,1,13,1,7,1,9,1,12,1,17,1,11,1,16,1,17,1,16,1,17,4,11,1,24,1,13,1,8,1,9,1,8,1,24,3,10,1,24,1,10,1,9,4,12,1,10,1,9,1,12,1,9,1,24,1,7,1,13,1,24,1,8,2,13,1,8,1,24,4,9,1,24,1,13,1,8,1,10,2,17,1,10,1,13,1,24,1,7,1,29,1,6,2,13,2,24,1,8,1,24,1,25,1,12,2,24,1,8,1,24,5,12,1,24,2,17,1,24,1,17,2,24,1,12,1,10,1,17,1,24,2,8,1,24,2,8,1,24,1,17,1,10,1,17,2,12,1,24,1,12,1,24,1,8,1,26,1,8,1,6,1,7,1,6,1,7,1,28,6,30,3,28,1,6,1,8,2,24,1,29,1,7,1,6,2,7,1,6,1,25,1,10,1,24,1,8,2,13,1,24,1,25,2,6,1,29,1,6,1,30,2,28,1,30,1,28,2,29,1,28,11,29,1,28,1,29,1,27,1,6,1,30,1,6,1,25,2,6,1,24,5,12,2,24,1,12,1,17,1,12,1,17,3,12,2,17,1,12,2,17,1,12,3,17,1,12,2,17,1,11,1,9,1,12,2,17,1,10,1,12,1,24,1,10,1,8,1,13,1,24,1,13,1,7,1,30,1,7,1,6,1,8,1,29,1,30,1,7,1,6,1,29,1,6,2,7,1,8,1,24,1,9,1,10,2,30,1,28,1,6,1,30,2,28,12,30,1,28,4,30,2,28,2,30,2,28,8,6,1,28,2,30,1,28,4,30,1,28,1,30,1,29,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,17,1,24,1,13,1,24,1,8,2,29,1,7,1,8,1,6,1,25,3,27,1,25,1,26,1,25,1,27,1,24,1,27,1,25,3,27,1,8,1,25,4,6,1,25,1,29,1,8,1,26,1,29,1,24,1,25,1,6,1,7,1,12,1,24,1,13,1,24,1,8,3,24,1,8,2,7,1,8,1,7,1,8,5,13,1,24,1,29,1,8,1,7,2,6,1,13,1,8,1,6,1,8,2,24,1,8,1,24,1,8,2,24,1,10,1,24,1,8,1,12,1,24,2,12,1,8,1,10,1,24,1,10,1,13,1,7,1,17,1,8,2,24,2,12,2,24,3,8,1,24,2,12,1,8,1,12,1,8,1,12,1,24,1,12,1,24,2,7,1,9,1,24,1,12,1,24,2,8,1,10,1,17,1,8,1,12,1,10,1,12,1,24,1,12,1,17,2,11,1,17,2,11,1,12,1,17,1,9,1,30,1,28,6,7,1,9,3,8,2,9,3,10,2,17,1,12,2,17,1,12,1,17,1,12,2,24,1,8,2,13,1,7,1,8,1,6,2,30,1,28,26,13,1,6,2,13,3,7,1,13,1,8,1,6,1,13,3,8,1,9,2,11,1,9,1,13,1,24,1,9,1,13,1,7,1,13,1,8,1,13,1,9,2,11,1,17,1,11,2,9,1,11,1,9,1,8,1,9,1,13,1,9,4,13,1,9,1,8,1,13,1,8,1,13,1,8,1,7,1,9,1,13,3,6,2,30,1,6,1,30,1,28,4,6,1,13,1,16,1,9,3,13,1,30,1,28,2,30,1,28,30,6,1,13,1,9,1,8,1,13,1,8,1,13,1,7,1,9,1,13,3,9,1,13,3,9,1,11,1,9,1,8,1,13,1,8,2,9,1,7,1,8,1,7,1,13,1,7,1,6,2,8,1,6,1,13,7,8,2,30,1,13,5,9,1,6,3,13,1,30,1,6,2,30,1,6,2,28,1,6,1,28,1,7,1,6,3,28,1,13,1,6,1,13,11,30,1,13,3,7,1,9,1,13,2,9,2,11,1,8,1,9,1,13,1,8,1,9,2,8,1,13,4,6,2,13,1,10,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,6,1,28,1,13,1,7,1,13,2,8,1,13,1,8,1,13,1,9,1,13,2,7,1,13,1,29,1,28,3,30,1,28,2,6,2,28,7,13,1,30,1,28,6,30,1,8,1,16,1,10,1,11,2,9,1,8,1,13,1,29,1,6,2,29,1,30,1,6,1,28,1,30,1,6,2,30,1,13,1,7,1,8,1,9,1,8,1,15,1,10,1,15,1,17,1,11,1,28,8,13,1,24,1,8,1,13,1,29,1,28,34,7,1,9,1,16,1,9,2,6,1,9,2,17,1,10,1,9,1,7,1,13,1,29,1,30,2,28,1,6,1,7,1,8,2,9,1,11,1,7,1,28,3,30,1,13,2,12,1,24,1,28,2,30,1,29,1,7,1,8,1,13,1,8,1,12,3,10,1,11,1,9,1,6,2,30,1,7,1,24,1,17,1,10,1,30,1,28,2,6,1,8,1,24,1,29,1,28,49,8,1,10,1,12,1,28,4,}, {28,1,29,1,6,1,13,3,8,2,13,2,7,1,13,1,6,1,7,1,13,2,7,1,8,1,6,1,13,1,30,1,6,1,13,2,7,1,8,1,13,2,6,1,8,1,13,1,9,5,13,1,9,2,8,1,11,1,17,3,11,1,9,2,12,1,7,1,6,1,28,1,30,1,28,6,29,1,9,2,7,1,28,6,24,1,13,2,8,1,6,1,28,1,29,1,28,9,29,1,12,1,30,1,28,11,13,1,28,30,30,1,28,1,13,1,30,1,7,1,6,1,7,1,8,1,17,1,9,1,13,2,29,1,8,1,29,1,13,1,24,1,7,1,29,1,28,1,30,1,6,1,29,1,13,1,6,1,30,1,29,1,28,8,29,1,13,1,24,1,13,1,28,7,12,1,24,1,8,2,9,1,8,3,13,3,8,1,13,1,14,1,9,1,6,1,13,1,30,1,29,1,6,3,28,37,6,1,29,1,9,2,13,1,28,6,9,1,24,1,8,1,24,1,6,2,7,1,29,1,28,1,29,1,6,1,30,1,29,2,6,1,29,1,30,1,28,1,30,2,7,2,30,1,7,1,6,1,13,1,7,1,8,1,15,3,6,1,28,15,29,1,30,2,29,2,30,2,28,7,30,1,28,4,13,2,9,1,11,1,9,1,10,1,11,4,16,1,17,1,11,1,16,1,11,1,10,1,16,1,9,1,11,1,16,1,11,1,17,1,16,2,11,2,10,2,16,1,17,1,11,1,17,1,11,1,16,2,9,1,11,1,16,2,17,1,16,2,11,1,17,1,16,1,11,2,17,1,11,2,16,1,17,1,11,2,9,1,17,1,11,1,9,1,17,2,11,1,16,1,11,1,16,2,9,1,16,1,10,1,17,1,16,1,11,3,16,1,17,1,11,2,9,1,11,3,16,1,9,2,11,1,9,3,10,1,16,1,8,1,11,2,9,2,11,2,16,1,8,1,11,1,10,1,11,1,17,1,9,1,17,1,11,1,16,3,11,1,9,1,16,1,17,1,11,2,16,1,11,3,10,1,13,1,6,1,30,1,28,2,29,1,13,1,30,1,6,2,8,1,30,1,8,1,7,1,13,1,8,1,10,1,13,1,8,1,7,1,13,1,30,2,6,1,30,1,6,1,29,1,28,1,30,1,6,1,13,1,29,1,28,1,6,1,30,1,6,2,30,1,29,1,6,2,30,3,29,1,30,1,29,1,28,1,6,1,30,1,29,1,30,4,6,1,28,1,13,1,9,2,11,1,16,1,9,1,11,1,16,4,11,1,16,3,11,1,16,1,17,1,11,1,9,1,11,3,16,1,9,3,10,1,11,1,9,1,11,1,9,2,8,1,9,1,8,1,11,1,9,1,13,1,10,1,13,1,9,6,16,1,8,1,9,3,17,1,9,1,16,1,9,4,11,2,9,1,11,1,9,1,11,2,10,2,11,1,9,2,11,2,9,1,11,1,9,1,11,2,9,2,11,1,9,1,11,2,9,3,8,1,9,2,13,1,9,2,13,1,6,2,13,2,7,1,6,1,7,1,29,1,6,1,29,1,28,16,10,1,17,1,8,1,24,1,7,1,13,1,6,2,30,1,28,1,30,1,28,2,30,1,28,3,6,2,30,1,13,1,28,1,6,1,30,3,28,1,6,1,30,1,29,1,30,3,13,1,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,4,6,1,28,21,8,1,9,1,13,1,11,1,13,2,30,1,28,1,30,1,28,1,6,1,13,1,8,1,9,1,8,1,12,1,9,1,13,1,30,1,7,1,13,1,28,106,29,1,28,5,30,1,6,1,28,2,29,1,30,2,13,1,29,1,28,2,7,1,29,1,6,2,28,1,7,1,28,2,30,1,29,1,6,1,28,18,30,1,28,3,30,1,28,20,30,1,28,2,30,5,28,1,30,1,28,1,7,1,29,1,13,1,28,1,7,1,28,1,6,3,28,1,6,1,7,1,6,3,13,1,8,1,13,7,8,1,13,1,7,1,13,1,29,1,17,37,12,1,17,19,16,9,11,1,16,6,17,4,16,1,11,1,9,1,13,1,9,1,13,1,11,1,9,1,13,2,7,1,13,1,9,1,13,1,6,1,13,1,6,1,13,1,6,3,13,1,30,2,29,2,6,1,13,1,6,2,30,1,6,1,30,1,29,2,6,3,29,1,6,1,30,1,6,1,13,1,6,1,30,2,6,1,30,1,6,1,30,1,29,1,6,2,30,1,13,1,30,1,6,1,13,1,6,1,30,1,6,2,7,1,13,2,6,1,30,1,13,1,6,5,30,1,6,2,29,1,30,1,6,1,30,2,29,1,6,2,30,1,6,2,30,1,6,1,30,2,29,1,6,3,30,1,29,1,6,2,30,3,13,2,30,1,6,4,30,1,6,5,30,1,28,2,6,1,28,1,30,2,28,1,8,1,11,1,7,1,30,1,6,2,30,1,28,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,29,1,6,1,29,1,6,1,29,1,28,1,30,2,28,1,6,1,29,1,30,4,6,1,29,1,30,1,29,1,30,3,28,1,6,1,30,5,28,5,30,1,28,3,30,2,6,1,30,2,6,1,29,1,30,4,6,1,30,4,6,1,13,1,6,7,30,3,6,1,30,1,6,2,28,1,6,2,29,1,30,1,6,1,30,1,6,1,30,2,28,1,30,2,28,2,30,2,6,3,13,2,29,1,30,1,6,1,30,3,6,2,30,2,6,2,30,3,29,2,6,1,13,1,30,1,13,1,6,5,29,1,13,1,6,1,30,3,13,1,6,3,13,1,30,1,6,4,29,1,30,1,28,1,6,3,30,1,6,3,29,1,30,2,6,1,30,1,6,1,30,3,6,1,30,2,6,1,13,1,30,1,6,1,30,3,28,1,30,1,6,1,29,1,30,1,29,1,28,1,30,1,28,2,30,5,28,1,30,2,6,1,30,7,28,1,30,2,28,1,30,4,6,1,30,1,6,1,30,1,6,2,30,2,29,1,30,1,6,1,30,1,6,2,30,1,7,1,29,2,30,1,6,3,30,1,29,1,6,1,7,1,6,1,30,1,13,1,6,1,28,1,7,1,30,4,6,1,30,4,6,4,28,1,6,1,13,2,6,2,29,1,30,1,6,1,30,2,6,5,30,1,6,1,13,1,6,1,7,1,30,1,6,1,30,1,6,2,13,1,6,4,7,1,28,2,30,1,28,1,30,1,28,1,30,2,6,2,28,1,6,1,28,1,30,2,28,2,30,1,28,2,30,1,28,1,6,1,30,1,6,1,28,1,30,3,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,1,29,1,6,2,8,1,10,1,8,1,9,1,13,1,10,1,13,2,8,1,13,1,9,2,8,1,12,1,24,1,13,2,8,1,13,1,8,1,12,1,6,1,28,1,7,1,8,1,13,1,17,2,16,2,17,3,11,1,17,1,12,1,9,1,8,1,9,2,8,1,24,3,10,1,9,1,10,2,12,2,10,1,12,1,17,1,10,2,24,2,13,1,8,3,24,2,8,1,13,1,8,1,24,1,13,1,9,1,24,1,8,2,9,2,17,1,12,2,7,2,13,1,7,1,29,1,24,3,25,1,8,2,25,4,24,1,8,1,6,1,7,1,24,2,12,1,24,1,10,2,17,1,10,2,24,1,12,1,24,2,10,1,24,2,10,1,17,1,24,1,10,1,12,1,17,1,12,2,10,2,25,1,26,1,6,1,8,2,7,1,8,1,6,1,28,7,30,1,29,1,6,1,25,1,24,2,7,1,8,1,6,2,29,1,6,1,13,1,7,1,24,1,8,1,24,1,7,1,13,1,6,1,24,1,8,1,25,1,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,9,29,2,6,1,30,1,6,1,29,1,25,1,29,1,6,2,8,4,24,1,8,1,12,1,10,1,12,1,17,2,12,4,17,1,12,5,9,1,17,3,12,3,11,1,17,2,12,3,17,2,10,1,12,1,10,1,9,2,10,1,24,2,8,2,7,1,6,1,8,1,6,1,7,3,13,1,8,3,10,1,12,1,13,1,29,1,30,3,28,2,30,3,28,4,30,1,28,6,30,1,28,3,30,1,28,10,30,1,28,4,30,1,28,1,30,1,28,3,29,1,6,1,30,7,28,1,30,3,6,1,17,1,24,1,8,3,25,2,8,1,25,2,6,1,8,1,26,3,25,1,8,1,25,1,26,1,30,1,25,1,26,1,25,1,8,2,30,2,25,2,29,1,6,1,27,1,26,1,8,2,27,1,29,1,25,2,7,1,8,2,24,1,12,1,8,2,6,1,7,1,8,3,6,1,8,2,24,1,8,3,13,1,6,2,8,1,6,1,7,1,6,1,8,1,13,2,24,1,8,1,13,1,24,3,10,1,24,1,17,1,24,1,8,2,12,1,24,1,17,1,10,1,24,1,8,1,24,1,13,1,12,3,8,1,24,1,10,1,24,2,8,1,24,1,12,1,7,1,24,1,12,1,24,2,8,1,10,1,24,1,8,1,17,1,13,1,24,2,9,1,24,1,12,2,8,2,10,1,24,1,12,1,10,3,12,2,17,3,12,1,17,3,8,1,28,8,30,1,7,1,8,1,10,1,9,1,8,1,13,1,8,1,11,1,12,1,9,1,17,1,10,3,9,1,12,4,10,1,11,1,10,1,13,1,8,1,6,1,7,1,6,1,28,24,6,1,13,6,8,1,13,1,8,1,7,1,13,4,10,1,17,1,8,1,10,1,13,1,24,1,13,1,9,1,13,2,8,1,13,1,8,1,11,2,10,1,11,1,9,3,8,1,13,5,9,3,11,1,13,2,9,3,8,2,13,1,6,1,13,1,30,1,13,1,28,1,29,1,30,1,28,1,6,1,30,2,6,1,11,2,13,1,9,1,13,1,9,1,6,1,28,33,29,1,30,1,9,1,8,1,13,1,9,1,6,1,7,1,9,1,7,1,9,1,13,2,9,1,8,1,13,1,9,1,8,1,10,1,8,1,9,1,8,2,13,2,8,1,13,4,6,3,13,2,6,1,13,2,9,1,7,1,13,2,6,1,13,1,7,1,13,1,28,1,30,1,13,4,6,1,30,1,13,1,30,1,13,2,28,1,13,2,30,1,13,1,8,2,13,1,6,1,9,1,13,1,9,1,13,2,6,1,8,1,7,1,13,1,8,1,6,2,13,3,7,1,13,3,9,1,13,2,8,1,9,1,11,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,7,1,8,1,9,1,6,1,13,5,9,4,6,1,13,2,6,1,13,2,9,2,13,1,9,1,13,1,9,1,6,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,6,1,28,1,6,1,28,4,30,1,13,1,6,1,30,1,28,6,7,1,17,1,12,1,11,1,17,1,9,1,10,1,24,1,6,2,30,1,6,1,30,1,28,1,30,2,29,2,13,2,8,1,13,1,8,1,24,1,9,1,10,1,17,1,12,1,8,1,30,1,28,5,29,1,28,1,6,1,9,1,24,1,13,1,6,1,30,1,28,33,6,1,24,1,17,1,10,1,13,2,8,1,17,1,12,1,8,1,13,1,7,1,13,1,28,1,30,1,28,1,13,1,8,1,13,1,8,1,24,1,8,1,12,1,6,1,28,4,6,1,9,1,10,1,13,1,28,1,30,1,28,2,7,2,8,1,24,1,10,2,11,1,9,1,17,1,8,1,29,1,30,1,29,1,13,1,8,1,11,1,10,1,29,1,30,3,8,1,9,1,7,1,28,48,30,1,8,1,17,1,9,1,28,4,}, {9,2,8,1,13,1,6,1,13,1,9,1,13,2,6,1,13,1,6,1,13,1,7,1,13,1,7,2,13,3,24,1,6,1,13,1,6,1,13,3,6,1,13,4,9,3,8,1,9,1,8,1,9,2,17,1,12,1,17,3,11,1,9,1,10,1,24,1,29,1,28,7,30,1,6,1,7,1,12,1,6,1,28,6,13,1,24,1,13,1,8,1,30,1,28,11,7,1,17,1,29,1,28,10,30,1,28,33,6,1,30,1,6,1,7,1,8,1,13,1,17,1,9,1,13,1,7,1,6,1,7,1,13,2,24,1,7,1,28,1,6,1,29,1,8,1,28,1,13,1,8,1,7,1,30,2,28,7,6,1,13,1,6,1,7,1,28,6,6,1,10,1,24,1,8,1,12,1,24,1,8,2,24,1,9,1,8,1,13,2,24,1,15,1,12,1,8,1,6,3,13,1,8,1,28,37,30,1,28,1,6,1,24,2,8,1,28,6,15,1,24,1,7,1,13,1,8,1,13,1,6,2,29,1,6,1,28,1,6,1,30,1,28,1,30,1,6,1,29,1,28,2,6,4,7,1,6,1,13,1,24,3,17,2,13,1,28,13,30,2,29,1,28,1,30,1,28,2,30,2,28,6,30,1,28,5,13,2,8,1,11,1,9,1,11,1,16,4,11,1,9,1,16,1,17,1,16,1,10,1,8,1,9,1,17,1,11,1,10,2,11,2,16,2,11,1,17,1,16,1,17,2,16,2,17,1,16,6,9,1,17,1,11,1,16,5,17,2,9,1,16,1,11,7,16,7,10,1,16,2,9,1,11,1,10,1,16,1,9,1,11,3,16,1,11,2,9,1,10,1,11,1,16,1,9,1,11,1,9,1,11,1,8,1,17,1,16,1,11,1,9,5,8,1,9,1,11,1,16,1,9,1,11,1,17,1,10,1,16,1,9,1,16,1,11,2,16,1,11,1,16,6,11,1,9,1,13,1,6,1,28,1,6,1,29,1,28,1,29,1,30,1,13,2,6,1,30,1,6,2,7,1,8,2,9,2,8,2,28,1,29,1,6,1,30,1,28,1,13,1,30,2,7,1,6,1,28,1,7,1,6,2,30,2,7,1,30,2,28,1,29,1,28,1,6,1,28,1,29,1,30,1,28,1,29,1,28,1,6,1,30,1,7,1,29,1,6,2,28,1,6,1,13,1,11,1,9,2,11,1,9,1,11,2,16,1,11,2,16,1,11,1,9,1,10,1,11,2,16,2,9,1,11,3,10,1,11,1,9,1,16,1,9,5,10,1,9,3,8,1,9,1,11,1,10,1,9,3,11,1,9,4,8,1,9,1,11,1,16,1,9,2,11,1,9,1,11,1,9,4,10,1,9,1,11,1,9,1,10,1,9,1,13,2,11,1,16,1,11,1,10,1,11,2,9,2,11,1,9,1,11,1,16,1,11,1,9,1,8,1,9,1,8,2,9,1,8,2,9,1,10,1,13,1,7,1,6,2,30,1,29,1,8,1,29,1,30,1,28,2,29,1,28,15,24,1,12,1,9,2,10,1,13,2,30,1,29,1,30,1,28,7,29,1,6,1,30,1,13,1,6,1,30,1,6,1,7,1,29,1,30,3,28,1,30,1,28,3,7,1,28,1,30,1,28,2,30,1,28,2,30,2,28,2,30,1,28,25,13,1,8,3,9,1,30,1,28,2,30,2,6,1,7,1,13,1,8,2,9,1,12,2,9,1,24,1,29,1,6,1,28,14,30,1,28,87,29,1,28,7,30,2,28,1,30,1,28,1,30,2,7,1,30,1,28,3,30,5,28,48,30,1,28,4,6,1,30,1,29,1,28,2,29,1,6,1,28,1,6,2,29,1,6,1,29,1,6,1,7,1,29,1,7,1,6,1,30,1,29,1,6,2,29,1,30,2,13,7,8,1,13,1,8,1,6,1,11,1,17,56,16,3,11,1,16,1,11,1,16,2,9,1,16,2,11,1,16,3,17,5,16,1,13,4,10,1,9,2,13,1,6,2,13,1,9,1,6,1,13,2,6,4,29,1,13,1,30,1,7,1,6,1,30,2,28,1,29,3,6,1,30,1,6,2,29,1,6,2,30,1,6,4,29,1,6,1,28,1,13,1,30,2,6,1,30,1,6,9,7,2,13,1,6,2,13,1,6,3,30,1,6,1,29,1,30,2,6,1,30,1,6,1,30,1,29,1,6,1,7,1,6,1,30,1,6,2,28,1,13,1,6,1,13,1,6,1,30,1,6,2,29,1,30,1,6,6,30,1,6,1,7,1,6,1,30,1,13,1,6,1,30,2,6,1,28,1,29,1,30,3,29,1,28,1,6,2,30,2,13,1,11,1,13,1,30,3,6,1,30,2,29,1,30,1,6,1,29,1,30,1,28,1,30,5,28,1,30,3,28,1,29,1,30,4,29,1,30,2,29,1,30,3,28,1,6,1,30,5,28,1,30,2,29,1,30,1,28,2,30,1,28,1,30,9,6,1,30,2,6,1,30,3,6,2,13,3,6,3,30,1,29,1,30,1,29,1,30,4,29,1,6,1,30,2,6,1,30,8,6,1,30,1,29,2,28,1,6,1,13,1,28,1,6,3,30,1,6,1,30,1,6,3,30,2,6,1,30,1,6,1,30,1,6,6,13,2,8,1,13,1,6,2,30,1,13,1,29,1,13,1,6,5,13,1,6,1,30,2,13,2,30,2,29,1,6,4,30,4,6,1,7,1,30,8,6,1,30,4,6,1,30,1,6,1,30,8,28,1,30,1,6,1,30,1,6,1,30,6,28,1,30,3,29,1,28,1,30,1,28,1,30,2,29,1,30,3,29,1,30,1,6,1,30,2,6,1,13,1,6,1,29,1,30,1,6,3,13,1,6,2,29,1,30,1,6,1,29,1,6,3,30,1,29,1,6,3,30,1,6,2,30,2,6,1,30,1,13,2,6,2,30,1,6,2,30,2,6,4,30,3,13,2,30,2,28,1,6,1,7,1,13,2,6,1,7,1,6,2,7,1,30,1,6,7,13,1,6,1,29,1,6,3,30,1,6,1,29,1,30,3,28,1,30,1,6,1,30,1,28,2,30,7,28,1,30,2,28,1,30,1,6,1,30,2,28,2,30,5,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,8,1,6,1,13,1,9,1,8,2,9,1,8,3,13,2,24,1,9,1,8,1,24,1,9,1,8,1,6,1,13,3,24,1,8,1,6,1,7,1,13,2,12,1,16,2,17,6,11,1,10,1,9,1,8,1,9,2,24,1,13,1,24,1,10,1,9,1,24,1,9,1,10,1,9,1,10,3,13,1,8,1,24,1,13,2,7,1,8,3,13,1,6,1,8,1,13,1,7,1,13,1,10,1,9,1,24,3,10,1,12,1,10,2,13,1,7,1,13,4,8,3,25,1,8,1,24,1,27,1,8,1,25,1,8,1,6,1,24,1,7,1,10,1,8,1,24,2,10,1,12,3,17,1,12,1,10,1,17,1,12,2,24,3,12,1,24,1,12,1,17,1,24,5,25,3,8,1,30,1,7,1,28,10,29,1,6,1,8,1,7,1,8,1,7,1,29,1,6,1,29,1,28,2,30,1,8,1,24,2,29,1,8,3,7,1,25,2,6,1,27,1,28,1,29,1,28,8,30,1,28,2,30,1,28,1,30,2,6,1,28,1,6,3,7,1,25,1,8,1,25,1,8,1,24,1,25,1,10,1,24,3,12,2,17,2,12,2,17,2,10,1,12,2,10,1,17,2,24,1,17,2,12,1,17,1,12,1,17,1,10,1,17,1,12,1,10,1,17,1,9,1,12,1,10,1,8,1,10,1,12,1,10,1,12,1,9,1,10,1,9,1,12,1,8,2,13,2,8,3,13,2,8,1,24,1,8,1,9,1,13,1,6,1,29,1,6,1,28,3,30,1,28,17,30,1,28,13,30,1,28,1,30,1,28,4,30,4,29,1,6,1,30,1,28,1,30,2,6,1,30,3,6,1,30,1,17,1,7,1,8,1,24,1,8,2,7,1,25,2,6,1,25,3,26,2,24,1,30,1,27,1,26,1,27,1,29,1,27,1,25,2,29,1,28,1,8,1,29,1,25,1,6,1,8,1,25,1,27,1,25,1,26,1,25,2,6,1,8,2,29,1,8,3,24,1,8,1,10,1,7,1,8,1,7,1,24,1,7,1,6,1,13,1,8,1,7,1,12,1,13,1,24,1,8,1,13,1,8,1,30,1,8,1,10,1,6,1,29,1,24,1,13,1,6,1,24,1,8,1,9,1,24,1,8,1,7,1,12,1,8,1,13,1,8,1,24,1,9,2,13,2,24,1,13,1,24,4,8,2,6,1,8,1,10,1,8,2,24,2,25,1,24,9,10,1,24,1,10,1,12,1,8,1,24,1,12,2,24,1,12,2,24,1,10,2,9,1,17,8,13,1,28,8,30,1,9,4,8,1,13,1,8,1,11,1,8,1,10,1,9,1,10,1,24,1,10,1,12,1,9,1,8,1,13,1,24,2,10,4,13,1,9,1,6,1,28,1,30,1,28,21,7,1,13,1,30,1,13,2,6,1,13,4,7,1,8,1,13,1,7,1,13,2,10,3,8,2,13,4,10,1,8,2,12,1,11,1,12,2,9,2,17,1,13,1,8,1,9,2,13,3,9,2,11,1,8,3,13,1,11,1,13,1,8,1,6,1,13,3,28,1,30,1,28,1,30,1,13,1,28,1,30,1,6,1,28,1,13,1,9,2,10,1,9,1,13,1,7,1,29,1,28,1,6,1,29,1,28,30,6,1,9,2,13,2,9,1,29,1,13,1,8,1,13,2,8,1,30,1,9,1,6,1,9,3,10,1,9,1,13,1,9,1,13,1,9,2,13,2,6,2,13,2,6,2,13,3,9,1,13,2,8,1,6,1,13,3,7,1,30,1,6,2,7,1,6,1,13,2,30,1,6,1,13,1,6,1,13,1,9,1,13,1,8,1,13,1,30,1,9,1,13,1,30,1,13,2,6,1,13,1,8,1,13,2,7,1,8,1,29,1,8,1,13,1,6,1,13,5,6,1,9,1,13,5,9,1,8,1,9,2,8,2,13,1,9,2,13,2,30,1,13,2,6,1,13,1,9,2,13,1,6,1,13,1,9,1,13,2,28,1,13,1,9,1,6,1,8,1,6,1,9,2,11,1,13,1,9,1,13,2,30,1,6,2,7,1,28,1,6,1,30,3,6,1,30,1,28,4,30,2,6,1,7,1,28,7,13,1,15,1,17,1,9,1,10,1,12,1,24,1,13,1,7,1,13,1,6,4,30,1,6,2,30,1,8,1,6,1,13,2,15,1,13,1,24,1,11,1,17,1,10,1,9,1,28,8,9,2,24,1,13,1,6,1,28,34,6,1,9,1,16,1,11,1,13,3,17,1,12,1,11,1,9,1,6,1,30,1,29,1,28,1,30,1,29,1,7,1,8,1,10,1,9,1,8,1,9,1,6,1,28,3,30,1,29,1,7,1,24,1,6,1,30,1,28,2,6,1,7,1,28,1,24,1,8,1,24,1,17,1,9,2,24,1,13,1,7,1,29,1,6,2,12,1,10,1,13,1,29,1,28,1,29,1,7,1,8,1,10,1,30,1,28,16,30,1,28,13,29,1,28,18,8,1,17,1,13,1,6,1,28,3,}, {13,1,9,1,13,6,8,1,7,1,6,1,13,1,6,1,13,1,7,1,8,1,6,1,7,1,9,1,13,1,30,1,7,1,13,2,8,1,13,3,6,1,13,1,8,1,9,1,8,1,11,2,9,2,13,1,8,1,11,1,17,1,12,1,17,2,16,2,9,1,11,1,24,1,28,9,30,1,13,1,15,1,6,1,28,6,6,1,8,2,30,1,6,1,30,1,28,10,6,1,13,2,28,44,6,1,30,1,29,1,6,1,8,1,6,1,15,1,9,2,7,1,13,1,6,2,13,1,24,2,28,3,29,1,6,5,13,1,28,7,6,2,8,1,13,1,29,1,28,5,30,1,24,1,12,1,9,1,8,1,24,1,8,1,24,1,9,2,13,1,8,2,13,1,11,1,12,1,7,1,6,3,29,1,13,1,6,1,28,35,30,1,28,1,30,2,13,1,24,1,7,1,30,1,28,4,6,1,9,1,8,1,24,1,8,1,6,1,13,1,29,1,6,2,29,1,7,1,30,1,6,2,29,1,30,1,28,2,6,1,30,1,6,1,7,1,30,1,13,1,6,1,13,2,8,1,9,2,17,1,8,1,28,18,30,1,28,1,30,1,28,6,30,1,28,6,7,1,13,2,10,1,9,1,11,3,16,1,11,1,16,1,17,1,11,1,16,1,9,1,10,1,17,2,11,1,9,1,17,1,11,1,9,1,16,2,17,1,11,1,17,1,16,1,17,1,11,1,17,1,11,1,17,1,11,1,17,1,16,2,9,1,17,1,16,1,11,1,16,1,11,1,17,1,16,1,17,1,16,1,11,1,16,1,11,2,16,1,9,2,11,1,16,1,11,5,16,1,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,3,10,1,11,1,16,1,11,1,9,4,16,1,9,1,10,1,16,1,17,1,16,1,11,1,10,1,16,1,11,2,9,1,6,1,17,1,11,2,16,2,9,1,17,1,9,1,16,1,11,1,9,1,16,1,11,1,10,1,9,1,16,1,9,1,17,2,9,5,6,1,13,1,28,1,30,1,6,2,28,1,6,1,30,1,29,1,13,5,8,3,9,1,8,1,6,1,30,1,28,1,29,1,30,1,29,1,30,1,6,1,13,1,29,1,6,1,28,1,29,1,13,1,6,2,13,1,6,1,28,1,30,1,29,1,30,4,6,1,30,1,28,2,30,1,29,1,30,2,29,1,30,1,28,1,29,1,13,2,9,2,10,1,11,2,16,1,11,1,16,7,11,5,9,3,12,1,9,2,11,1,9,7,11,1,9,1,11,1,9,2,10,1,9,3,11,1,8,1,11,1,9,4,11,1,10,2,9,4,8,1,11,1,12,1,10,2,9,1,11,2,9,1,17,1,9,1,17,1,16,1,9,2,11,1,9,2,11,2,10,1,11,2,9,1,11,2,10,1,9,1,10,1,9,1,8,1,13,2,8,1,7,1,8,1,13,1,7,1,13,1,12,1,13,2,28,1,13,1,29,1,30,1,28,15,30,1,9,2,8,3,13,1,8,1,30,2,29,1,30,2,28,6,6,4,29,2,7,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,6,1,30,1,29,1,28,1,30,1,6,1,30,1,28,1,29,1,28,1,6,1,28,4,30,1,28,24,13,1,24,1,8,1,24,1,9,1,28,1,29,1,28,3,30,1,6,1,8,3,13,1,8,1,9,1,12,1,17,1,12,1,8,1,13,1,29,1,30,1,28,1,30,1,28,10,30,1,28,86,30,1,28,10,6,1,29,1,6,1,29,1,28,3,30,1,28,1,30,1,28,1,6,1,28,1,6,1,28,3,30,1,28,17,30,1,28,30,30,2,29,1,6,1,30,1,28,2,7,2,29,1,30,1,13,1,6,2,29,1,13,1,30,1,6,1,29,1,30,1,29,1,28,1,30,2,28,1,29,1,6,3,13,2,6,1,8,1,13,1,9,1,6,2,10,1,17,18,16,1,17,1,12,1,16,1,17,1,12,1,17,16,16,1,17,15,16,4,11,1,10,1,9,2,11,1,16,1,11,2,16,3,17,5,9,1,8,1,9,1,11,1,9,4,7,1,6,1,13,1,9,1,8,1,6,2,13,1,7,1,30,1,6,2,28,1,13,1,6,1,30,4,6,5,29,1,6,6,30,1,6,2,28,1,6,2,30,1,6,1,30,2,6,1,30,2,6,3,13,1,6,1,13,1,30,1,7,1,6,1,29,1,6,3,29,1,6,2,30,2,6,2,13,1,6,5,29,2,6,1,28,1,6,3,7,1,6,1,29,1,6,5,30,3,6,1,30,1,13,1,30,1,29,1,30,2,6,1,7,1,6,1,13,1,6,2,30,4,28,1,30,1,28,1,30,1,28,1,29,1,28,1,6,1,13,1,10,1,13,1,29,1,28,1,6,1,30,1,28,1,30,1,29,1,30,1,28,1,30,7,28,1,30,10,6,1,30,1,29,1,30,1,28,1,6,1,30,9,28,1,6,1,30,4,6,1,28,1,30,1,28,2,30,3,6,1,30,2,29,1,30,6,6,1,30,1,29,1,6,1,29,1,30,1,6,4,30,11,28,1,6,1,30,6,6,2,30,1,28,1,6,3,29,1,30,1,6,4,30,4,29,1,6,1,30,4,6,1,30,2,29,1,30,1,6,2,13,3,6,2,30,2,7,1,6,2,30,3,13,2,29,1,7,1,6,2,29,1,30,1,29,1,6,1,30,1,13,1,6,3,29,1,6,3,30,1,6,3,30,1,6,1,30,3,28,1,6,1,30,1,6,3,13,1,6,3,30,5,28,1,30,3,28,1,30,7,29,1,30,1,29,1,30,1,29,1,30,5,28,1,30,2,28,1,6,1,30,2,6,3,30,5,6,2,30,5,6,1,30,1,6,2,30,1,6,1,29,1,6,2,13,1,6,3,30,1,6,2,30,3,29,1,28,1,6,1,30,1,13,1,30,2,6,1,29,1,6,1,30,4,6,1,13,2,30,1,6,1,28,1,29,1,6,1,28,1,30,1,6,5,7,1,6,3,13,1,6,7,30,1,6,3,30,2,6,1,30,3,29,1,6,1,7,1,30,1,6,1,30,4,28,1,30,4,29,1,30,2,28,1,29,1,30,3,6,1,30,1,28,2,30,1,28,10,13,4,9,1,13,1,8,1,9,1,8,2,13,1,24,1,13,1,9,3,8,2,13,3,7,1,8,1,24,1,8,1,13,2,8,1,9,1,12,1,9,1,17,7,9,1,10,1,8,1,24,1,9,1,10,1,24,3,9,1,10,1,24,4,12,2,24,1,7,1,8,1,6,1,24,1,6,1,8,1,13,1,24,1,8,1,6,1,8,3,24,1,12,1,9,2,8,1,10,1,12,1,17,2,12,1,13,1,7,1,13,1,7,1,24,1,8,3,26,1,8,1,25,2,8,1,25,3,8,2,13,1,8,1,7,1,12,1,8,1,12,1,24,1,12,1,24,1,12,3,24,1,10,3,12,1,24,1,17,1,24,1,12,1,24,1,17,1,12,1,10,1,8,1,24,1,25,1,7,2,25,1,29,1,28,9,30,1,29,1,28,1,6,1,8,1,13,1,7,1,30,1,28,2,30,1,28,2,6,1,7,1,10,1,8,1,7,3,8,1,6,3,27,1,30,2,29,1,28,13,30,1,28,1,29,2,6,1,7,2,8,1,6,1,7,1,25,1,6,1,8,2,24,2,10,1,12,1,17,1,12,1,17,1,12,2,17,1,12,1,17,4,24,1,12,2,9,1,17,4,12,1,17,3,12,2,17,2,9,1,10,1,12,3,10,1,17,1,12,3,9,1,10,1,24,1,8,1,24,2,8,1,7,1,13,1,8,2,24,1,9,1,13,1,30,2,28,2,30,1,28,6,30,1,28,6,30,1,28,6,30,1,28,2,30,1,28,7,30,3,28,1,30,2,28,1,30,9,28,1,30,1,6,1,30,1,28,2,30,3,9,1,11,1,9,1,24,1,13,1,8,3,25,1,7,1,8,1,25,1,26,1,25,1,26,1,27,1,6,1,30,1,25,2,29,1,25,1,27,1,25,1,27,1,25,2,26,1,30,1,6,2,7,1,24,1,25,1,7,1,29,1,6,1,7,1,13,2,7,2,8,1,13,1,24,1,8,1,7,1,24,2,7,1,13,1,7,1,29,1,24,2,8,1,24,2,13,1,8,5,13,3,6,1,7,2,8,1,7,1,13,1,8,1,13,1,24,1,10,1,9,1,8,1,24,1,13,1,24,1,9,2,24,2,8,1,7,1,13,1,24,1,12,1,24,3,8,1,24,1,10,1,8,2,24,2,10,1,8,1,12,1,8,2,12,1,24,1,10,1,24,3,9,1,24,1,9,1,13,1,24,1,12,1,24,2,13,1,17,1,9,1,12,1,24,1,12,5,17,2,12,1,17,1,6,1,28,9,13,3,8,2,9,1,10,1,13,1,8,1,24,1,10,2,9,2,24,1,8,1,12,2,10,2,11,1,9,1,24,1,8,1,9,1,13,3,28,1,30,2,28,11,7,1,6,1,28,4,13,2,30,1,10,1,13,2,7,2,9,1,13,1,7,1,9,1,6,1,8,1,13,1,8,2,7,1,12,1,11,1,7,1,8,1,13,2,11,1,9,1,8,3,9,1,17,1,11,1,17,1,12,1,8,1,9,1,16,1,9,1,8,1,13,1,8,2,9,1,13,1,8,1,9,1,11,1,9,1,13,2,9,1,13,2,6,1,13,4,30,1,28,1,6,1,28,2,30,4,13,1,10,1,9,1,11,1,9,1,8,1,13,2,6,1,28,32,29,1,13,2,8,1,9,2,13,2,8,1,13,1,8,1,13,2,6,1,13,1,8,1,6,1,9,2,8,1,9,1,11,1,10,1,8,1,13,1,6,2,13,1,6,1,13,1,6,1,13,3,7,1,13,1,8,1,13,4,6,1,30,1,7,1,13,1,7,1,28,1,13,1,30,1,13,1,6,2,13,1,8,1,6,1,13,1,9,1,13,1,30,1,13,1,8,1,13,2,8,1,13,1,8,2,13,2,8,1,13,2,6,1,13,1,6,1,13,3,6,1,13,1,6,2,13,1,7,1,8,2,13,1,8,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,13,5,9,1,13,2,7,1,13,1,30,1,8,1,9,2,7,1,6,1,9,1,8,1,30,1,6,2,13,2,10,1,13,2,6,1,16,1,13,2,8,1,13,1,7,1,6,2,13,1,28,1,6,1,30,1,6,1,30,2,6,1,30,1,28,3,30,1,6,1,29,2,28,7,24,1,14,1,11,1,17,1,9,1,17,1,10,1,8,1,13,1,6,3,7,1,6,1,30,2,6,1,28,1,29,1,13,3,9,1,8,1,12,1,16,1,9,3,28,8,13,1,9,2,13,2,28,34,30,1,10,1,17,1,11,1,8,1,13,1,9,1,17,1,9,1,8,1,24,1,7,1,6,1,30,1,29,1,30,2,6,1,13,2,9,1,24,2,6,1,28,3,30,1,13,1,15,1,17,1,13,1,28,2,30,2,28,1,30,1,13,1,6,1,17,1,10,1,9,1,11,1,9,1,8,1,13,1,6,1,28,1,13,1,9,2,8,1,30,1,7,1,30,1,7,1,24,2,28,15,30,1,28,1,30,1,28,13,30,1,28,17,30,1,8,1,17,1,8,1,28,4,}, {13,3,7,1,13,1,8,1,13,1,8,1,13,1,6,1,30,1,13,2,6,1,13,2,7,2,8,1,13,2,7,1,6,1,9,1,13,1,8,1,6,1,13,1,8,2,13,3,9,1,13,2,9,1,10,1,9,1,10,1,9,1,11,1,17,2,12,1,9,1,8,1,10,1,13,1,30,1,28,8,6,1,13,1,8,1,30,1,28,6,24,1,8,2,6,1,29,1,6,1,28,10,6,1,8,1,13,1,28,43,30,1,28,1,6,1,7,1,6,2,13,1,12,1,10,1,8,1,30,1,13,2,6,1,8,1,9,1,8,1,6,1,28,1,7,1,29,2,7,1,8,1,6,1,8,1,29,1,28,7,30,1,6,1,13,1,7,1,28,6,30,1,10,2,24,1,8,1,9,1,13,3,10,1,8,2,24,1,8,1,12,1,10,1,9,1,8,1,7,1,29,1,6,1,7,1,6,1,28,37,30,1,29,1,24,2,8,1,28,5,29,1,24,2,7,1,13,1,6,1,8,1,7,1,29,1,13,1,6,1,30,2,6,2,28,1,6,1,28,1,29,1,7,1,28,1,6,1,29,2,7,1,8,1,13,1,8,1,29,1,9,2,17,1,8,1,28,17,30,1,28,1,30,1,28,8,30,1,28,6,13,1,9,1,11,2,16,2,11,1,16,2,17,1,16,2,11,1,17,1,11,1,16,1,9,1,17,1,16,1,9,1,16,1,11,3,16,2,17,1,16,2,17,1,16,1,11,3,9,2,17,2,11,2,16,3,11,1,16,2,17,1,9,1,16,2,11,1,16,1,11,1,16,1,17,1,11,1,17,1,16,2,11,1,16,1,11,1,9,1,16,2,17,1,16,1,9,1,11,2,16,1,11,1,9,1,11,1,16,3,17,1,10,1,16,1,10,1,16,2,9,1,11,1,16,1,10,1,11,2,10,1,8,1,9,1,11,3,10,1,9,1,17,1,11,4,17,1,10,1,16,1,11,1,17,1,8,1,16,1,9,3,12,1,16,1,10,1,9,1,8,2,9,1,13,1,7,1,28,1,29,1,6,1,28,1,6,1,28,2,13,3,6,1,13,3,8,1,13,1,11,1,13,1,7,1,6,2,13,1,30,1,6,4,30,1,28,1,29,1,6,1,7,1,30,2,6,1,29,4,30,1,6,2,28,1,6,1,28,2,30,1,28,1,30,1,6,3,30,2,7,1,8,1,9,1,17,1,16,1,11,1,16,1,11,3,16,1,11,3,16,1,11,3,16,2,9,1,11,1,9,2,16,1,11,1,10,1,9,1,11,1,9,1,11,1,8,1,10,1,9,2,11,1,9,1,13,1,9,7,11,1,9,2,10,1,9,1,10,1,9,1,8,1,9,2,17,1,11,1,9,1,10,1,11,1,8,1,9,2,13,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,10,2,9,2,11,1,16,1,9,1,11,2,10,2,9,1,11,1,9,1,13,2,9,1,8,1,9,1,7,1,13,1,8,1,29,1,30,1,7,1,6,2,13,1,29,1,28,1,30,1,28,15,29,1,8,1,24,1,9,2,13,1,8,2,30,2,6,1,28,1,30,1,28,7,7,1,30,1,29,1,30,1,13,2,30,1,6,1,30,1,28,2,30,1,28,6,6,1,29,1,30,1,28,5,29,1,28,25,30,1,6,1,24,2,9,2,7,1,30,1,28,3,30,1,13,2,8,1,13,2,8,2,10,1,8,1,11,1,10,2,8,1,29,1,28,108,6,1,30,1,13,1,30,3,28,12,29,1,28,51,30,1,29,1,6,1,28,1,6,2,30,1,29,1,30,1,28,1,6,1,29,1,13,1,6,1,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,1,29,1,6,2,13,4,8,1,13,1,9,1,17,17,16,1,17,5,11,1,16,1,12,1,17,29,16,1,17,1,16,1,11,1,16,2,9,1,11,1,16,1,9,1,16,2,11,2,16,1,17,5,16,1,9,1,30,1,9,2,13,1,9,1,13,5,9,1,13,1,6,1,13,2,6,3,30,1,7,1,8,1,30,1,6,1,29,1,30,1,6,1,30,2,6,3,30,1,29,1,30,1,6,1,30,1,28,1,7,1,6,2,7,1,6,4,29,1,6,1,30,1,6,2,13,1,6,2,13,1,6,3,30,1,6,1,13,2,29,1,6,2,13,1,6,2,30,1,6,3,30,1,6,2,30,1,6,6,13,1,30,1,6,6,30,1,29,1,30,2,6,1,30,1,29,1,6,3,29,1,6,1,30,2,6,3,29,1,28,2,30,1,6,1,30,1,28,2,30,5,13,1,16,1,7,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,29,1,28,1,30,1,28,1,6,1,30,2,29,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,2,28,1,30,4,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,8,29,1,30,6,28,1,6,1,30,4,29,1,30,1,29,1,30,1,13,1,6,2,30,1,6,1,30,2,28,1,6,1,30,3,6,3,30,1,28,1,30,4,28,1,6,2,28,1,30,3,28,1,30,7,6,1,28,1,6,1,28,1,30,3,6,1,13,1,30,1,6,5,30,1,6,2,30,2,6,2,30,3,6,1,13,3,6,2,13,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,3,7,1,6,1,30,1,29,2,6,1,30,1,6,1,28,1,29,1,6,2,30,3,6,3,29,1,30,2,6,1,30,1,6,2,30,2,29,1,30,1,6,3,7,1,30,2,6,1,30,1,6,1,30,2,29,1,6,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,28,1,30,6,28,1,30,1,6,3,28,1,6,1,30,2,6,1,30,1,28,1,6,1,30,1,6,3,30,1,7,1,30,1,6,3,29,1,30,1,6,1,30,3,29,1,6,1,30,1,6,2,30,1,6,1,28,1,30,2,29,1,6,1,30,1,28,1,6,1,30,1,6,1,30,4,28,1,6,2,30,1,6,2,30,1,29,1,28,1,6,1,8,2,28,1,6,1,30,1,6,1,30,1,6,1,30,2,13,1,30,2,6,1,28,2,6,1,7,1,6,1,30,2,6,1,29,1,30,4,6,2,29,1,6,1,30,1,6,1,29,1,30,2,6,1,30,4,28,1,30,1,6,1,30,1,29,1,28,1,29,1,30,1,28,1,30,4,6,1,28,1,29,1,28,2,30,3,28,12,7,1,9,1,13,2,8,1,7,1,29,1,13,1,24,1,8,1,7,1,13,1,24,1,9,1,10,1,8,1,13,1,8,2,13,1,10,1,24,2,8,1,6,1,8,1,9,1,12,1,17,1,11,1,17,7,12,1,9,1,8,1,24,1,10,1,24,1,8,1,24,3,9,1,24,1,9,1,8,1,9,1,10,2,24,1,8,1,6,1,13,1,8,1,6,1,24,1,8,1,13,1,8,1,13,1,8,1,24,1,13,2,8,1,24,2,13,1,9,1,12,1,11,1,12,1,10,1,24,1,13,2,24,3,8,1,7,1,27,1,25,1,27,1,6,1,27,1,26,2,25,1,7,1,29,1,25,1,6,1,25,1,24,1,12,1,24,2,12,1,17,1,24,1,17,1,12,4,24,1,12,6,17,1,12,1,24,2,8,1,25,1,8,1,6,1,28,9,30,3,6,1,7,1,25,1,8,1,13,2,6,1,30,2,28,2,30,1,29,1,13,1,24,1,7,2,25,3,26,1,25,1,30,1,27,1,29,1,30,1,28,2,29,1,28,3,30,1,28,6,29,1,28,1,6,3,30,1,7,2,6,1,8,3,24,1,10,1,24,3,17,1,12,3,17,2,12,1,17,1,12,1,17,2,10,1,17,2,12,1,17,4,12,1,17,3,11,1,12,1,17,1,12,1,17,2,12,1,17,1,12,3,17,1,12,1,11,1,17,1,10,1,12,1,11,1,17,1,9,1,24,1,8,1,24,1,8,4,9,1,6,1,28,1,30,1,28,9,30,1,28,7,30,1,28,4,30,1,28,2,30,1,28,5,30,1,28,1,30,3,28,1,30,4,28,1,30,2,28,4,30,2,28,2,30,1,6,1,30,4,28,2,12,1,8,4,24,1,8,1,25,1,7,1,25,1,7,1,6,1,8,1,25,4,26,1,24,1,26,1,27,1,25,1,28,1,27,1,28,1,25,1,8,1,27,1,30,1,28,1,6,1,30,1,8,1,25,1,8,1,29,1,25,1,8,1,6,1,7,2,29,1,8,1,7,1,8,2,7,1,24,1,6,2,30,1,7,1,24,1,7,1,8,2,13,1,8,2,30,1,24,3,29,1,13,1,8,1,7,2,24,2,8,1,24,1,8,1,24,1,8,1,24,5,13,1,10,1,9,1,13,1,10,1,24,1,13,2,7,1,17,1,24,2,6,1,24,2,6,1,24,6,8,2,12,1,25,1,8,1,25,1,12,1,7,1,10,1,24,3,7,1,9,1,13,1,12,1,10,1,12,1,9,1,17,1,12,1,24,1,10,1,17,5,12,1,17,2,12,1,28,11,13,4,8,1,13,2,9,2,6,1,24,1,8,1,9,2,13,2,8,1,10,1,7,1,8,1,13,1,9,1,24,1,9,1,8,1,9,1,13,1,30,1,6,1,30,3,28,9,6,1,13,1,28,3,6,1,13,4,7,1,13,1,8,1,13,7,6,1,13,2,9,1,11,1,10,1,8,1,13,4,8,1,13,1,9,1,11,1,8,1,17,1,9,1,17,2,9,2,13,1,9,1,13,1,6,1,13,1,7,1,13,1,8,1,11,1,9,2,13,4,9,1,8,1,13,4,28,1,6,1,28,1,29,1,30,1,28,1,30,2,29,1,28,1,9,1,8,1,9,1,11,2,13,2,30,1,28,1,30,1,28,31,13,1,9,1,13,2,9,3,13,3,30,1,8,1,13,2,11,1,6,1,13,2,9,2,13,2,9,1,13,1,9,1,13,4,6,1,30,1,13,1,28,1,8,1,13,6,7,1,13,2,30,1,6,3,13,9,30,1,13,1,16,1,8,1,6,1,10,1,8,2,10,1,6,1,8,3,13,2,8,1,13,5,6,1,13,1,8,1,7,1,6,1,13,1,6,1,13,1,8,1,13,2,8,1,13,1,9,1,8,2,13,2,8,1,13,3,6,2,13,1,6,1,13,1,6,1,13,4,8,1,13,1,6,3,30,3,13,1,6,1,8,1,9,1,8,1,9,1,13,1,9,1,13,2,6,1,7,1,13,2,6,1,29,1,13,1,6,1,28,1,7,1,6,1,28,4,30,1,7,1,28,1,6,1,30,1,28,6,24,1,14,1,12,1,9,1,17,2,8,1,24,2,8,1,6,1,7,1,6,2,30,1,6,1,30,1,29,1,30,1,28,1,30,1,13,1,9,2,10,1,11,1,9,1,15,1,24,1,30,1,28,7,13,1,10,1,13,3,28,34,7,1,9,1,12,1,9,2,13,2,12,1,16,1,10,1,6,1,28,3,29,2,6,1,13,1,24,2,8,1,24,2,13,1,28,3,30,1,6,1,8,1,17,1,13,1,28,2,6,1,30,1,29,1,6,1,8,1,12,1,24,1,12,1,9,1,11,1,8,1,13,2,6,2,13,1,24,1,9,1,12,1,28,3,30,1,24,2,6,1,28,12,30,1,28,35,30,1,24,1,9,1,8,1,28,4,}, {8,1,13,1,8,2,13,2,9,1,13,1,6,1,8,1,13,1,8,2,13,1,8,1,13,1,7,1,13,2,6,1,7,1,13,1,6,1,13,3,8,1,6,1,13,3,8,1,9,3,13,1,9,1,8,1,9,2,12,1,10,1,11,1,17,1,11,1,8,1,10,1,9,1,8,1,6,1,30,1,28,7,30,1,13,1,8,1,6,1,28,6,29,1,24,1,13,1,6,1,29,1,28,11,6,1,24,2,6,1,28,7,30,1,28,29,30,1,28,3,29,1,28,1,6,1,13,1,6,2,7,1,24,1,9,1,15,1,9,1,29,1,8,1,6,2,24,3,28,1,30,1,6,4,8,1,13,1,6,2,28,7,29,1,6,1,13,1,29,2,28,6,9,2,24,1,12,1,8,2,24,1,8,1,9,1,8,2,13,1,24,1,12,1,15,1,12,1,13,2,29,1,6,3,29,1,28,36,30,1,6,2,7,1,9,1,30,1,28,4,30,1,9,1,24,2,8,1,7,1,13,1,30,1,29,1,7,1,13,1,30,1,28,1,29,1,30,2,29,1,6,1,28,2,6,1,28,1,6,3,7,1,8,1,9,2,12,3,9,1,28,20,30,1,28,13,6,1,8,1,9,1,11,2,16,1,9,1,16,1,11,1,16,1,11,1,16,1,11,2,16,3,17,1,16,1,11,1,16,1,10,1,16,2,11,1,17,2,16,2,17,1,10,1,16,1,17,2,11,1,16,1,17,1,16,1,11,2,16,4,17,1,10,1,9,1,11,4,10,1,16,2,17,1,16,1,11,2,16,1,9,1,17,1,16,1,11,1,16,1,11,1,16,1,17,1,16,1,9,1,17,1,9,1,11,2,10,1,16,1,9,1,16,1,11,1,16,1,11,1,9,3,11,1,9,3,16,2,11,2,9,1,11,1,9,2,10,1,16,2,11,2,16,1,9,1,11,1,10,1,16,1,9,2,11,1,9,2,8,1,11,1,10,1,9,1,8,1,9,1,10,3,9,1,8,1,6,1,30,1,28,1,30,1,6,1,28,2,6,1,28,2,29,1,6,2,8,1,6,2,12,1,8,1,9,1,7,1,6,1,29,1,30,1,6,2,28,1,29,1,6,1,29,1,30,2,28,1,30,2,29,1,7,1,6,1,29,1,30,1,28,3,6,1,30,1,13,1,30,1,7,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,28,1,6,1,13,1,17,1,9,2,11,1,16,3,11,2,16,1,11,1,16,3,11,2,9,1,11,3,16,1,11,1,9,2,10,1,9,2,10,1,9,3,11,1,16,1,9,2,11,1,8,1,9,1,11,1,9,5,13,1,8,1,9,1,8,1,9,1,11,1,10,1,9,1,8,1,9,2,8,1,9,5,11,3,9,1,11,1,9,3,11,2,9,1,10,1,9,3,11,1,10,1,11,1,16,1,10,1,11,2,9,2,11,1,7,1,9,1,13,2,6,1,8,1,6,1,13,1,29,1,13,1,8,1,29,1,6,1,30,1,6,1,28,16,29,2,6,1,7,1,13,3,8,1,13,1,29,1,28,1,6,1,28,7,30,1,8,1,29,2,7,1,6,1,30,2,28,1,6,1,28,1,29,2,6,1,28,1,30,1,29,3,30,1,28,5,30,1,28,1,30,1,28,25,7,1,8,1,24,1,10,2,8,1,6,1,28,4,6,1,13,3,8,1,13,1,9,1,8,2,9,1,13,1,12,1,9,1,12,1,9,1,13,1,30,1,28,3,6,1,28,95,30,1,28,5,6,2,29,1,30,1,28,62,30,1,28,4,30,3,29,1,13,1,28,1,13,1,29,2,6,1,30,1,29,1,7,1,28,1,29,1,30,1,6,1,28,11,13,1,7,1,8,2,13,1,6,3,17,20,11,1,9,1,12,1,17,1,12,2,17,27,16,3,17,1,9,1,16,1,11,1,16,1,11,2,16,4,11,3,17,4,16,2,13,1,28,1,13,1,8,2,13,1,9,1,13,3,16,1,9,1,6,1,13,2,6,4,30,1,6,1,10,1,6,1,29,1,30,3,6,7,29,1,13,1,6,1,7,1,6,3,28,1,29,1,6,1,30,1,6,1,30,1,29,2,6,4,13,1,6,1,13,1,29,1,6,1,30,1,6,1,13,2,30,1,6,1,30,1,6,1,30,2,6,3,13,2,6,1,28,1,6,1,30,2,6,3,30,1,6,4,13,1,6,1,30,1,13,1,6,2,30,1,6,2,29,1,6,1,30,1,6,4,30,2,6,1,30,1,28,1,7,1,13,1,30,1,28,1,6,1,28,1,6,1,29,1,28,1,30,3,6,1,13,1,16,1,13,1,29,1,6,3,30,1,6,1,28,1,30,2,6,1,29,1,6,1,30,1,29,1,30,6,28,1,30,3,29,1,30,7,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,4,28,1,30,1,6,1,28,1,30,1,28,3,30,6,28,1,30,1,29,1,30,3,6,1,28,1,30,2,29,1,28,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,3,28,2,30,4,29,1,30,7,28,1,6,2,29,1,28,1,30,1,6,3,30,1,6,1,30,3,6,1,30,1,6,2,28,1,30,2,29,1,28,1,30,1,6,3,30,1,29,1,28,1,13,1,30,5,29,1,30,2,6,1,30,3,28,1,30,2,6,1,30,1,6,3,30,1,6,2,30,3,6,1,30,2,28,1,30,3,6,1,30,1,6,2,30,1,29,1,30,1,28,1,30,3,6,1,30,2,6,2,30,1,6,1,30,1,6,1,30,4,28,1,29,1,30,1,28,1,6,1,29,1,30,2,29,2,30,2,6,1,30,5,28,1,6,1,28,1,30,1,6,2,30,1,7,1,30,1,6,1,29,2,6,1,28,1,6,4,30,1,6,2,30,2,6,1,28,1,30,2,6,1,28,1,6,1,29,1,6,1,29,1,6,1,28,1,29,1,30,3,28,1,6,1,28,1,30,3,6,1,30,2,29,1,30,1,6,3,30,2,13,1,8,1,13,1,30,1,6,1,28,1,29,2,6,2,13,1,28,1,30,1,6,1,29,1,6,1,30,2,6,1,30,1,7,1,30,2,6,1,30,1,6,1,30,1,6,1,28,1,6,4,28,1,30,2,6,1,30,3,6,1,30,4,28,1,6,1,30,3,28,1,30,3,6,1,30,2,6,1,30,1,28,1,30,1,28,10,30,1,28,4,9,1,13,1,7,1,29,1,28,2,6,1,8,1,13,2,24,1,8,1,9,1,8,1,9,1,8,1,6,1,9,2,24,1,9,1,8,1,30,1,13,1,8,1,11,1,12,1,10,1,11,1,12,1,17,7,12,1,9,1,8,1,12,1,11,1,8,1,9,1,24,1,9,1,24,1,8,1,24,1,9,1,8,1,12,2,9,1,8,1,28,1,8,1,7,1,6,1,7,1,8,1,24,1,8,1,13,2,9,1,24,1,8,1,24,1,9,1,24,1,8,1,10,1,17,1,12,1,11,2,24,1,8,2,10,1,25,1,6,1,25,1,7,1,25,6,27,1,29,2,7,1,30,1,8,2,25,1,24,2,10,1,24,1,17,1,12,1,10,1,24,1,10,3,17,1,24,1,12,3,10,2,12,1,24,2,12,1,25,1,24,1,10,1,28,8,6,1,30,1,13,2,8,1,7,1,25,1,7,1,8,1,7,1,8,1,29,1,28,5,30,1,8,1,6,1,13,1,7,1,29,3,25,1,6,1,25,1,28,14,30,1,28,1,29,1,28,1,29,1,30,1,6,1,7,1,6,1,7,1,24,1,7,1,8,3,10,2,12,1,17,1,12,2,17,2,12,1,17,3,9,1,12,5,17,5,12,1,9,1,17,2,12,1,17,2,12,1,11,2,17,2,11,1,12,1,17,1,12,1,17,1,12,2,17,3,12,2,9,1,10,1,24,2,9,1,12,2,8,1,30,3,28,4,30,1,29,1,28,14,30,2,28,1,30,3,28,7,30,2,28,1,30,2,28,2,30,2,28,2,30,1,29,1,28,2,30,1,28,2,30,3,28,1,30,3,28,1,13,1,17,1,8,1,9,1,24,1,13,1,8,1,25,2,8,1,25,1,8,1,25,1,26,1,8,1,26,1,25,1,30,1,8,1,30,1,8,1,25,1,8,1,27,1,24,1,29,1,25,1,26,2,25,1,6,1,7,1,8,1,25,1,8,1,29,1,25,1,6,1,30,1,7,1,30,1,6,1,13,1,8,1,7,1,8,1,7,1,8,1,7,1,6,1,8,1,13,2,7,1,8,1,7,1,6,1,24,1,6,1,8,1,24,1,7,1,24,1,6,1,13,1,7,1,8,2,6,1,8,4,13,1,8,1,24,1,9,1,12,1,8,1,24,1,13,1,12,1,8,1,12,1,24,1,8,1,6,1,8,1,24,1,12,1,24,2,17,1,29,1,24,2,8,1,10,1,13,1,8,1,24,1,25,1,24,1,8,1,24,1,10,1,8,1,12,1,24,6,12,1,8,1,12,2,10,1,24,1,12,1,9,1,17,1,12,2,9,1,17,2,12,3,10,1,17,1,12,1,9,1,28,11,30,1,13,2,8,2,13,1,9,1,8,1,13,1,7,1,8,2,13,1,24,1,9,1,8,1,13,2,8,1,9,1,8,2,13,1,8,3,13,3,6,1,13,1,30,1,7,1,6,1,28,9,6,1,30,1,13,1,7,1,9,1,13,1,7,1,9,1,7,1,13,1,6,2,8,1,13,2,6,1,13,1,30,1,13,2,8,1,9,1,24,3,8,3,9,1,8,1,9,1,10,1,8,1,17,1,11,1,17,2,9,2,13,2,8,1,9,1,13,1,6,1,9,1,13,1,8,1,11,1,13,1,9,1,13,2,8,2,9,2,6,1,8,1,7,1,13,1,30,1,28,3,30,2,6,1,30,1,7,1,30,1,13,1,9,1,10,1,11,1,9,1,7,1,8,1,6,1,28,2,6,1,28,30,13,5,30,1,6,1,13,5,30,1,13,2,9,2,13,4,9,3,6,1,30,1,13,5,6,1,13,3,6,1,13,1,9,1,6,1,13,2,30,1,13,1,6,1,30,1,13,1,6,2,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,11,1,9,4,10,1,13,1,6,1,8,1,9,2,13,1,9,1,13,2,6,1,9,1,8,1,13,1,6,1,7,1,13,3,6,1,13,6,6,1,13,3,8,2,13,3,6,1,13,4,6,1,13,2,6,1,7,1,30,1,29,1,7,1,13,3,6,1,30,1,13,1,6,1,13,4,6,1,9,2,13,1,9,1,11,1,13,2,6,1,9,1,13,4,6,1,13,2,30,2,28,3,30,1,7,1,30,1,28,8,8,1,15,2,14,2,9,1,12,1,9,1,13,1,6,4,29,1,28,1,30,1,28,1,29,1,28,1,29,1,30,1,13,1,24,1,10,1,9,1,11,1,9,1,11,1,13,1,28,8,13,1,15,1,11,1,13,1,30,1,28,34,29,1,17,2,12,1,6,1,13,2,11,1,17,2,9,1,30,1,6,2,30,1,6,1,28,1,6,2,9,2,24,1,13,2,28,4,6,1,8,1,12,1,7,1,28,1,29,1,28,1,6,1,30,1,6,1,9,2,17,2,9,1,10,1,9,1,8,1,13,1,6,1,13,1,7,1,9,3,28,3,6,1,9,1,13,1,7,1,28,16,30,1,28,31,30,1,13,2,6,1,28,4,}, {9,1,13,3,8,1,13,1,6,1,7,2,13,1,8,1,13,2,6,1,7,1,13,2,7,2,6,2,13,1,6,1,7,1,13,1,8,1,13,2,7,1,13,3,8,3,9,5,8,1,9,1,17,1,12,1,11,1,9,3,8,1,29,1,28,9,7,1,13,1,6,1,28,6,6,1,24,1,8,1,6,2,29,1,28,10,29,1,13,1,8,1,28,8,30,1,28,30,29,1,28,2,6,3,29,1,13,1,7,1,8,1,6,1,9,1,14,1,11,1,6,1,29,1,6,1,13,2,17,1,8,1,6,1,30,1,6,1,29,1,6,1,7,2,13,1,7,1,13,1,28,7,30,1,6,1,7,2,30,1,28,5,30,1,8,1,24,1,9,1,24,1,8,1,24,1,8,2,24,1,8,2,13,1,8,1,15,1,14,1,8,1,6,2,30,1,6,3,28,37,29,1,30,1,6,1,15,1,8,1,7,1,28,5,9,1,15,1,13,1,7,1,24,1,8,2,6,2,29,1,30,3,6,1,28,1,30,1,29,1,6,1,29,1,30,1,6,1,29,1,28,1,6,2,13,2,24,2,17,2,10,1,28,5,6,1,28,12,30,2,28,14,13,1,8,1,9,1,12,1,10,1,16,1,10,1,17,1,16,1,11,1,16,2,10,1,17,1,10,1,16,3,11,1,16,1,9,1,16,1,9,1,11,1,9,1,16,1,17,1,11,1,17,2,11,1,16,1,11,1,17,1,11,2,16,1,17,1,11,1,17,1,11,1,17,1,16,2,11,1,16,1,11,2,16,1,11,4,16,1,11,1,16,1,13,1,9,1,17,1,16,2,9,2,11,2,17,1,16,1,11,1,16,1,10,1,11,1,16,1,11,3,16,4,9,1,8,1,16,1,9,3,17,1,9,1,11,1,9,2,16,2,10,1,9,1,16,1,9,1,11,1,9,3,11,1,10,1,11,1,9,1,11,1,9,5,13,1,9,2,8,2,9,1,8,2,13,1,30,1,7,1,6,3,28,1,30,1,28,2,30,1,29,2,30,1,6,1,13,1,7,2,8,1,11,1,10,1,11,1,30,1,13,1,30,1,6,2,29,2,6,1,29,1,28,1,6,2,28,1,6,1,28,1,29,1,30,1,6,1,30,1,28,1,29,1,30,1,6,1,29,1,30,1,13,1,28,1,30,1,6,1,30,3,6,1,30,1,29,1,30,1,28,1,13,1,9,2,17,1,11,4,16,5,11,1,16,1,17,1,11,1,16,3,11,2,9,1,16,1,11,1,10,1,9,1,8,1,9,3,11,1,9,1,11,1,9,1,10,2,9,1,8,1,11,2,9,3,8,1,10,1,9,1,11,1,9,1,11,1,10,1,9,2,16,1,9,1,13,1,10,1,13,1,9,1,13,1,11,1,9,4,11,1,8,1,17,1,9,1,10,3,11,1,13,1,11,1,9,3,11,4,9,1,11,1,10,1,9,2,13,8,6,1,29,1,7,1,13,1,6,1,30,3,28,16,30,1,28,1,29,1,30,1,28,2,6,1,13,1,6,1,13,1,30,1,6,1,30,1,28,6,29,1,7,1,30,1,8,1,7,1,30,1,29,1,28,1,7,1,30,1,6,1,29,1,28,2,29,1,28,1,30,1,7,1,6,1,28,1,30,1,6,1,28,1,30,2,28,2,30,1,28,25,30,1,7,1,8,1,13,1,11,1,8,1,30,1,29,1,28,1,30,1,29,1,13,1,6,1,13,1,7,1,13,1,7,1,8,1,13,4,8,1,24,1,9,1,11,2,8,1,6,1,28,1,29,1,28,101,6,2,28,4,30,1,28,11,30,1,28,53,30,1,6,1,30,1,7,1,30,1,29,1,13,1,28,1,13,1,6,1,28,1,6,1,28,1,30,2,28,14,13,1,6,2,13,1,6,2,13,1,17,19,12,1,11,1,17,1,12,1,17,3,16,1,17,9,11,1,17,15,11,1,9,1,16,1,11,3,16,1,11,1,16,3,11,1,16,3,9,1,16,1,11,1,17,4,16,2,13,1,30,1,9,1,11,1,9,2,8,1,13,3,10,1,9,1,30,1,6,1,13,1,6,1,13,1,6,2,30,1,6,1,11,1,6,2,29,1,30,1,6,1,30,1,29,1,30,3,6,1,30,1,6,4,29,1,6,2,7,1,6,1,28,1,6,2,30,2,6,1,13,1,30,2,6,4,13,1,30,1,6,2,30,1,6,1,30,2,6,1,30,2,7,1,6,3,7,1,6,2,30,3,6,2,29,1,6,3,13,1,30,1,6,5,30,1,6,3,30,4,6,2,30,1,28,1,13,2,30,1,6,3,29,1,6,3,28,1,30,2,6,1,30,3,29,1,30,1,16,1,9,1,30,2,6,1,28,1,30,4,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,2,29,1,30,2,6,1,30,2,6,1,28,1,30,2,28,1,29,1,30,4,28,1,30,4,28,2,30,3,28,1,30,1,29,1,30,3,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,29,1,28,1,30,5,28,1,30,4,28,1,30,2,6,2,30,1,6,2,30,1,6,2,30,2,29,1,30,3,29,1,30,1,6,1,30,4,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,3,6,1,28,1,6,1,30,1,6,1,29,1,30,1,6,1,28,1,6,1,30,5,6,1,29,1,6,2,30,1,13,1,6,1,30,2,28,1,29,2,6,1,30,2,6,1,30,1,6,2,30,1,6,1,7,1,6,4,29,1,6,1,30,2,6,3,30,3,6,1,29,1,30,1,6,2,30,2,28,1,30,1,28,1,30,4,28,2,30,10,6,1,30,1,28,1,29,1,30,2,6,2,30,1,29,1,30,1,6,1,30,2,6,1,28,1,6,2,30,1,6,1,28,1,30,1,6,1,30,1,13,1,6,1,29,1,6,4,30,1,6,1,29,1,13,1,30,1,13,1,28,1,6,2,29,1,6,1,30,2,6,1,30,4,6,1,30,6,29,1,7,1,30,1,6,1,30,3,29,2,30,2,29,1,6,1,28,1,30,3,13,3,30,1,6,1,30,2,6,3,13,1,6,1,13,1,6,4,30,1,6,1,30,2,6,5,30,2,6,2,7,1,29,1,6,3,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,2,6,1,30,2,28,2,6,1,30,1,28,1,30,2,28,1,6,1,30,2,6,1,28,1,30,1,28,1,30,2,28,2,30,2,28,14,6,1,9,1,8,3,24,1,8,1,24,1,9,1,8,1,11,1,24,1,13,1,6,1,13,2,12,1,8,1,12,2,10,1,11,1,17,1,11,1,17,7,10,1,11,1,9,2,10,1,9,1,24,1,10,2,24,3,8,1,9,2,12,1,9,1,6,1,13,1,7,1,8,1,13,1,7,1,24,1,13,1,8,2,13,1,8,1,24,1,10,1,8,2,13,1,12,1,17,2,11,1,9,1,8,2,24,1,10,1,25,1,24,1,25,2,26,1,30,1,25,1,27,1,6,2,28,1,29,1,28,1,30,1,28,1,29,1,6,1,7,1,8,1,6,1,12,1,24,2,8,1,17,2,24,2,17,1,12,6,17,1,24,1,17,1,24,1,12,1,17,2,13,1,28,5,6,3,13,1,8,1,6,1,10,1,8,1,25,1,8,1,13,1,24,2,8,1,7,1,28,5,29,1,6,1,13,1,7,2,29,1,6,2,29,1,30,1,6,2,30,1,28,2,30,1,28,2,30,1,28,2,29,1,28,4,30,2,29,2,6,2,7,2,13,1,10,1,24,1,8,1,24,1,12,1,8,1,10,2,12,1,17,2,12,1,17,1,9,1,17,1,10,1,17,1,12,1,17,3,11,1,12,1,17,8,12,1,17,2,12,2,11,1,17,1,9,1,11,1,17,2,12,1,17,1,11,1,17,1,12,2,10,1,12,1,10,1,12,1,10,1,24,1,9,2,12,1,11,1,13,1,30,1,28,1,30,2,28,1,30,3,28,10,30,2,28,1,30,1,28,2,30,4,28,2,30,3,28,5,30,2,28,2,30,1,6,1,28,1,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,3,30,2,6,1,30,1,13,1,11,1,9,2,8,1,24,2,7,1,25,2,6,1,7,1,25,1,8,1,6,1,29,1,25,1,26,1,25,2,8,1,26,1,27,2,8,1,29,1,25,1,26,1,29,2,7,1,30,1,29,1,25,1,30,1,6,1,25,1,6,1,13,1,8,1,7,1,6,1,8,1,28,1,13,1,24,1,7,1,24,1,7,2,24,1,29,1,8,2,24,1,13,1,8,1,13,2,24,1,7,1,13,1,8,2,7,1,24,1,8,1,13,1,8,1,13,1,24,1,8,2,24,1,8,1,10,1,8,1,10,1,24,1,10,1,8,1,12,1,7,1,12,1,8,1,24,2,8,1,6,1,8,1,29,1,7,1,8,2,24,2,25,1,24,1,8,2,24,1,8,1,24,3,10,1,8,1,13,1,8,2,10,1,24,1,12,1,24,2,10,1,24,1,17,1,12,4,10,1,24,1,17,2,12,1,17,4,12,1,17,2,13,1,28,11,30,1,13,5,8,1,13,1,8,2,9,1,13,1,8,2,13,1,24,1,8,1,9,2,13,2,10,1,13,4,8,1,13,1,8,1,13,2,7,1,6,1,28,1,7,1,30,2,28,2,30,1,28,3,6,1,9,1,13,1,7,1,13,1,8,2,13,1,9,1,8,1,7,1,6,2,13,1,6,1,29,1,13,1,6,1,7,2,8,1,9,1,10,2,8,2,13,1,8,1,11,1,12,1,10,1,17,6,10,1,11,1,13,1,9,1,13,2,6,1,9,1,13,1,9,1,6,1,9,1,8,1,9,2,8,1,13,5,6,1,7,1,30,1,28,2,30,1,28,2,6,1,28,1,30,2,8,2,10,1,9,1,11,1,9,2,8,1,6,1,30,1,28,1,13,1,28,30,13,2,6,1,13,1,8,2,13,5,6,1,7,1,11,1,6,1,13,2,9,1,13,2,9,2,8,1,9,2,10,1,6,1,30,2,13,1,28,1,13,3,7,1,13,2,30,1,7,1,13,2,6,2,13,1,6,1,13,5,9,1,8,1,9,1,8,1,13,1,11,1,13,1,8,1,9,1,11,2,13,1,9,2,8,1,13,1,9,1,13,2,9,1,13,1,9,1,13,1,9,1,13,1,9,1,13,2,6,1,13,3,9,1,13,5,6,1,13,1,9,1,13,3,9,1,13,1,30,1,13,6,6,2,30,1,6,1,30,1,13,1,30,1,6,1,9,1,13,1,28,1,30,1,13,1,8,1,7,1,13,3,9,1,13,2,8,1,13,3,6,1,13,1,9,1,13,1,6,1,13,1,28,1,13,1,6,2,13,1,28,3,6,1,29,1,6,1,28,8,15,1,14,3,9,1,10,1,13,1,8,1,13,3,29,1,13,1,29,1,6,1,28,2,7,1,6,1,30,1,6,1,13,1,6,1,9,5,8,1,30,1,28,6,30,1,24,1,15,1,8,1,6,1,13,1,28,33,30,1,6,1,11,1,17,1,8,1,13,2,9,1,16,1,10,1,9,1,24,1,7,1,6,1,29,1,30,1,6,1,29,1,8,1,9,1,10,1,24,1,12,1,8,1,6,1,28,4,6,1,15,1,10,1,30,1,28,2,30,1,7,1,29,1,6,1,8,1,11,1,9,1,12,2,9,1,8,1,7,1,8,1,6,1,30,1,13,1,10,1,9,1,13,1,28,2,6,2,13,1,24,1,30,1,28,49,9,2,6,1,28,4,}, {13,1,8,2,7,1,13,3,6,1,9,1,13,1,9,1,13,1,8,1,13,1,7,1,30,3,13,1,6,2,7,1,6,2,13,1,7,1,6,2,13,1,29,1,13,1,9,1,7,1,8,1,9,1,10,1,9,2,11,1,9,2,12,1,17,3,9,3,13,1,6,1,28,9,6,1,24,1,7,1,28,6,30,1,24,1,7,1,6,1,13,1,30,1,28,11,13,1,12,1,28,6,6,1,30,1,28,33,30,1,28,1,30,1,29,1,6,1,13,3,24,1,17,2,9,1,10,1,7,1,13,1,6,2,8,1,7,1,29,1,28,1,6,1,7,3,24,1,13,3,29,1,28,7,6,1,7,1,6,2,28,6,8,1,10,1,24,1,10,1,9,1,24,1,8,2,9,1,13,1,8,3,15,1,17,1,9,1,13,1,6,1,30,1,6,1,13,1,6,1,30,1,28,32,30,1,28,4,7,1,30,1,9,1,24,1,29,1,28,4,30,1,13,1,10,1,8,2,7,1,24,1,6,1,8,1,6,2,29,1,30,1,29,1,6,2,28,1,29,1,30,4,28,1,6,2,13,1,6,1,8,1,24,1,8,1,17,2,8,1,28,5,6,1,28,28,13,1,9,1,10,1,9,2,16,1,17,1,11,1,10,1,16,1,11,1,17,1,16,1,11,1,16,1,11,3,16,1,11,2,9,1,16,1,11,1,9,1,17,1,11,1,8,1,9,2,16,2,9,1,11,2,16,1,9,1,17,1,10,1,11,2,9,3,11,1,10,1,11,2,9,4,16,1,9,1,16,4,17,1,16,3,9,1,16,1,17,1,9,1,16,1,9,1,16,1,9,1,11,1,16,1,9,1,16,1,9,1,11,2,17,1,11,1,9,4,10,1,11,1,10,1,11,1,17,1,16,1,11,3,16,1,17,2,16,1,9,4,10,1,13,1,9,2,8,1,9,1,13,1,8,1,11,1,8,1,7,1,13,3,8,2,6,1,7,1,6,2,30,2,28,1,6,1,28,1,30,1,29,1,30,2,6,1,29,1,13,1,6,1,7,1,8,1,24,1,8,1,9,2,8,1,7,1,30,1,28,1,30,1,28,1,6,1,29,1,30,1,28,1,29,1,28,1,29,1,30,2,28,1,6,1,28,1,6,4,29,1,6,1,13,1,29,1,30,1,13,1,28,2,29,1,30,1,28,1,6,2,28,1,30,2,13,1,8,1,11,7,16,1,11,4,17,1,11,2,16,1,17,1,9,1,11,1,10,1,16,1,11,1,10,1,11,1,9,1,11,1,10,2,9,2,10,1,9,1,10,1,11,1,16,1,9,2,10,1,9,1,10,1,9,2,8,3,11,1,9,5,10,3,8,1,9,6,8,1,9,1,11,1,10,1,13,1,9,3,11,4,9,7,11,1,9,1,11,1,10,1,9,2,8,1,9,1,13,2,7,1,9,1,6,2,29,1,13,2,6,2,30,1,29,1,28,16,30,1,28,3,30,2,6,2,13,2,7,1,13,1,30,1,28,8,7,1,13,1,7,2,29,1,6,1,30,1,6,1,28,2,29,1,28,2,6,2,28,2,13,1,28,1,30,1,28,9,29,1,28,21,13,1,7,1,24,2,8,2,6,1,30,1,28,1,30,1,28,1,6,2,13,1,8,1,13,1,9,1,6,1,13,2,6,1,8,1,13,1,6,1,24,1,13,1,8,1,9,1,7,1,8,1,7,1,30,3,28,1,6,1,28,3,30,1,28,92,6,1,28,8,6,1,28,64,29,1,28,2,30,1,6,1,7,1,6,1,28,1,6,1,28,2,30,1,28,1,30,1,28,13,30,1,7,1,6,4,13,1,17,17,16,1,17,2,11,1,17,1,12,1,17,1,12,1,17,6,11,1,16,1,17,2,11,1,16,1,17,1,16,1,11,1,16,2,17,9,16,1,11,5,9,1,16,5,11,1,16,2,11,1,9,1,11,2,17,3,16,2,9,1,13,1,30,1,9,2,13,4,6,1,13,1,11,1,13,1,6,3,29,1,6,2,13,1,6,2,13,1,6,1,30,1,6,1,30,2,6,2,30,2,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,30,3,6,2,30,1,6,1,30,1,6,3,13,1,29,1,6,3,30,1,28,2,6,2,30,1,7,1,29,1,30,1,6,1,13,1,30,1,6,8,28,1,6,1,7,1,30,2,29,1,6,1,7,1,6,1,30,1,13,1,30,1,6,2,30,1,6,1,30,1,28,1,6,1,28,2,30,1,6,1,30,2,6,2,13,1,6,2,30,1,28,1,29,1,30,3,6,1,30,2,29,1,30,4,6,1,13,1,9,1,6,1,30,1,6,2,30,2,29,1,30,5,6,1,29,1,6,1,30,3,29,1,30,6,6,1,28,1,30,2,6,1,30,4,28,1,30,1,28,2,30,3,28,1,30,3,28,1,30,3,28,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,4,29,2,30,1,28,3,30,3,29,1,30,1,6,1,30,1,6,2,29,1,30,6,6,1,30,4,6,1,30,2,28,1,30,8,6,1,29,1,30,5,28,1,6,1,30,1,6,1,28,1,29,1,28,1,29,1,30,3,6,1,30,1,6,2,30,4,6,1,30,1,29,1,30,1,6,4,30,1,13,1,29,1,28,1,13,1,29,1,6,1,28,1,6,2,30,2,6,1,30,1,6,1,29,1,30,1,6,1,29,1,30,2,6,1,30,2,6,1,30,1,28,1,6,1,28,1,30,2,6,1,30,3,6,1,28,1,29,1,28,1,30,3,6,1,30,1,28,1,30,3,28,1,30,1,29,1,30,3,29,1,30,2,6,11,29,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,30,1,6,2,13,1,29,1,6,2,13,1,6,1,30,1,7,1,6,1,13,1,6,2,30,2,13,1,30,4,6,1,30,1,6,1,28,1,30,5,6,1,30,1,6,1,30,1,6,1,30,2,28,1,6,1,8,1,13,1,30,3,6,2,7,1,29,1,6,1,29,1,6,1,30,2,13,1,30,1,29,1,6,3,30,1,6,3,30,1,6,1,28,1,6,2,30,1,6,1,29,1,6,1,29,1,6,1,29,1,13,1,6,1,13,1,6,1,30,1,6,1,28,1,30,1,29,1,6,1,30,1,6,1,29,1,6,1,30,2,29,1,6,1,30,1,29,1,6,1,30,2,28,1,30,2,28,2,30,6,28,6,30,1,28,8,13,1,9,1,8,3,24,3,9,1,11,1,8,1,7,1,6,1,13,2,10,1,12,3,9,1,12,2,9,1,11,1,9,1,17,5,12,1,11,1,10,1,11,1,12,2,24,1,9,1,12,1,8,1,24,1,9,1,24,2,12,1,9,1,12,1,6,1,8,1,13,2,7,1,13,2,6,1,8,2,13,1,8,1,13,1,10,1,8,2,24,1,11,1,12,1,11,1,12,1,9,1,10,1,17,1,8,3,25,2,8,1,25,1,29,1,25,1,27,1,6,1,30,1,28,1,29,1,28,3,29,1,30,1,29,1,8,1,13,1,24,1,8,1,24,2,12,1,24,1,12,1,24,1,12,1,17,2,24,1,12,1,17,1,12,2,17,1,10,1,12,1,17,3,29,1,28,3,30,1,7,1,12,1,10,2,13,1,7,1,8,1,25,2,8,1,24,3,12,1,10,1,7,1,30,1,28,4,29,2,7,1,30,1,25,1,29,1,30,1,29,2,6,1,30,1,29,1,30,2,28,7,29,1,30,1,28,2,6,1,28,1,6,1,25,1,29,1,6,1,25,1,8,1,13,1,7,1,24,2,8,1,24,1,12,1,24,1,10,1,17,1,10,1,17,5,12,1,17,1,10,1,17,1,12,1,17,1,12,1,17,7,12,3,17,2,12,2,11,1,17,4,12,1,17,1,11,1,12,1,17,5,12,1,10,1,9,2,12,3,9,1,30,2,28,4,30,2,28,2,30,4,28,2,30,2,28,3,6,1,28,1,30,2,28,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,11,30,1,28,4,30,2,28,1,30,4,28,2,30,5,6,1,9,2,8,2,24,1,8,1,13,1,8,1,7,1,8,1,25,1,8,1,6,1,25,1,8,1,25,1,27,1,25,1,26,1,8,1,27,2,26,1,25,1,29,1,25,2,30,1,25,1,28,1,29,1,6,2,29,1,6,1,8,1,29,1,6,2,13,1,7,2,6,1,29,1,6,1,7,1,24,1,13,1,8,1,7,1,24,2,6,1,13,1,8,1,6,1,24,1,13,2,7,1,13,1,8,2,7,1,29,2,24,3,8,1,7,1,8,3,13,1,24,7,8,1,9,1,12,1,8,2,13,1,7,1,24,2,10,1,24,1,8,2,24,2,13,1,24,2,6,1,24,3,10,1,24,2,8,1,24,1,8,1,13,1,10,1,8,1,24,2,12,1,10,3,12,2,10,1,17,2,12,1,10,1,17,1,10,1,17,1,24,1,17,1,12,1,17,2,8,1,28,13,13,2,7,2,13,4,24,1,13,2,24,1,13,1,8,1,13,2,9,1,13,1,9,1,13,1,9,1,13,2,8,1,9,1,7,1,8,1,13,1,7,4,6,2,7,1,30,1,7,1,28,1,29,1,6,1,13,2,7,1,8,1,13,2,8,1,24,1,13,2,8,1,13,3,7,1,13,1,8,1,7,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,10,1,9,1,11,2,9,1,11,1,12,1,17,5,11,1,13,1,9,2,8,2,13,1,9,2,8,1,13,1,9,1,8,1,13,3,6,1,9,1,6,1,8,1,6,1,13,2,30,1,6,1,28,6,30,1,28,1,6,1,13,1,10,1,11,1,16,1,11,1,13,1,8,1,13,1,30,1,28,1,30,1,28,30,13,1,8,1,13,3,8,1,13,3,6,2,13,4,8,2,13,3,9,1,13,1,9,1,10,1,8,1,9,1,13,2,6,1,13,2,30,1,9,1,13,3,9,1,6,1,8,1,30,1,6,1,13,2,6,1,7,1,13,5,7,1,8,1,13,1,16,1,13,1,11,1,13,1,10,1,9,1,10,1,9,3,13,6,8,1,13,1,8,1,13,2,8,1,6,1,10,1,13,5,9,3,13,1,6,1,8,1,6,1,13,2,9,1,13,2,6,1,13,4,6,2,13,1,7,1,6,2,13,1,30,2,6,1,30,1,29,1,6,1,7,1,6,1,29,1,6,1,13,1,6,1,13,7,7,1,13,2,9,1,13,2,7,1,13,4,6,3,28,4,29,1,7,1,28,7,6,1,9,1,14,2,10,1,12,1,10,1,8,1,13,2,29,1,6,1,29,1,30,1,28,1,29,1,30,3,29,1,6,1,30,1,13,2,24,1,10,1,9,2,11,1,6,1,28,8,8,1,15,1,13,1,7,1,29,1,28,34,6,1,12,1,17,1,9,1,13,1,6,1,12,1,9,1,17,1,8,1,24,1,13,1,30,1,29,1,28,1,29,1,30,1,24,1,8,1,9,1,24,1,10,1,8,1,28,5,6,1,15,1,10,1,29,1,28,1,30,1,6,1,29,2,13,2,8,1,9,1,17,1,12,1,24,1,9,1,8,1,7,1,6,1,30,1,8,1,10,1,9,1,12,1,28,2,30,1,8,1,24,1,8,1,30,1,28,48,30,1,9,1,13,1,6,1,28,4,}, {6,1,29,1,6,3,8,1,13,3,7,1,9,1,24,1,6,1,7,1,13,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,30,1,7,1,30,1,29,3,28,1,13,4,11,1,8,1,9,1,8,2,9,3,11,1,17,3,9,2,8,1,13,1,6,1,28,10,10,1,8,1,28,6,30,1,8,1,13,1,29,1,6,1,28,12,24,1,7,1,28,5,7,1,29,1,28,21,30,1,28,13,30,1,28,1,6,1,13,1,8,1,24,2,8,1,12,1,17,1,10,1,13,1,7,1,8,1,13,1,6,1,13,1,15,1,29,2,6,1,29,1,13,1,29,1,13,3,7,1,30,1,28,7,30,1,13,2,29,1,28,6,24,1,12,1,24,1,8,1,9,1,24,1,8,1,6,1,9,1,13,1,24,1,8,1,13,1,10,1,15,1,12,1,6,3,13,1,7,1,30,1,29,1,28,32,30,1,28,2,29,1,30,2,13,1,24,1,8,1,29,1,28,5,8,1,12,1,10,1,13,3,7,1,13,1,29,1,6,3,30,1,6,1,30,1,28,2,29,1,30,2,28,1,29,1,6,1,7,1,24,1,6,1,15,1,11,1,8,1,10,1,17,1,13,1,28,34,13,1,8,1,9,1,11,3,16,3,11,1,16,2,17,1,11,1,16,1,11,1,16,1,9,1,11,3,10,1,9,2,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,12,1,11,1,16,1,8,1,10,1,9,1,11,1,9,1,11,1,16,1,8,1,11,1,10,1,9,3,10,1,9,1,11,2,16,1,13,1,11,1,9,2,8,1,11,1,16,1,9,1,16,1,9,1,11,1,17,1,16,1,11,2,16,1,9,2,11,2,9,1,16,2,17,1,11,1,17,1,9,1,11,1,9,1,13,1,10,1,11,1,9,2,16,1,11,1,9,1,16,1,17,1,16,1,10,1,17,1,9,1,13,1,10,1,9,2,13,1,8,1,9,1,13,1,6,1,8,1,13,1,7,1,13,2,29,1,7,1,29,2,6,1,13,1,30,2,29,1,30,4,28,1,30,3,28,1,6,1,30,2,7,1,6,1,7,1,13,2,8,1,9,1,8,1,6,1,30,2,28,3,30,1,28,1,29,1,30,1,6,1,30,1,6,1,29,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,13,1,30,1,6,1,30,1,6,2,28,1,6,1,29,2,30,1,13,1,28,2,6,1,28,1,6,2,8,1,17,1,11,1,16,1,11,4,16,2,11,3,16,1,11,1,16,1,11,2,16,2,11,1,16,2,11,1,10,1,9,5,8,1,11,1,9,2,16,1,9,1,11,1,10,1,9,2,11,2,9,1,11,1,9,1,16,1,9,2,8,1,9,2,10,1,9,4,8,1,9,1,11,1,9,5,8,1,9,1,10,1,9,1,10,1,8,1,11,1,9,2,11,3,9,1,11,3,9,4,8,1,13,4,6,1,13,1,9,1,7,1,6,1,29,1,13,1,6,1,29,2,28,19,30,4,29,1,30,1,6,2,13,1,8,1,13,1,29,1,30,1,28,6,29,2,13,1,6,2,29,1,30,1,29,1,30,1,28,1,30,1,28,1,13,1,6,1,30,2,6,2,28,2,30,1,28,1,30,1,28,29,29,1,13,2,11,1,12,1,6,1,29,1,28,1,6,1,28,1,29,1,6,1,7,1,8,1,7,1,29,1,9,1,13,1,8,1,13,2,6,1,13,1,8,3,6,1,9,1,13,1,8,1,13,2,6,2,28,97,29,1,28,7,30,2,28,66,30,2,28,1,6,1,28,1,6,1,28,1,30,1,28,18,6,1,29,3,28,2,13,1,11,1,17,23,12,1,17,1,12,1,10,1,17,2,11,2,17,3,11,3,16,1,11,1,17,1,16,1,17,7,16,1,11,1,9,4,11,2,9,1,11,2,16,1,11,1,16,4,11,4,17,3,16,1,11,1,16,1,13,1,30,1,9,1,13,1,8,1,13,3,6,1,9,1,10,1,6,1,28,1,13,1,7,1,6,1,30,1,6,1,7,1,6,5,30,1,6,2,30,4,29,1,6,2,30,1,6,1,29,1,6,3,30,1,6,2,28,1,6,2,30,1,6,4,30,1,13,1,6,1,30,2,29,1,6,4,30,4,6,5,13,1,6,3,29,1,13,1,29,2,30,1,29,1,30,1,6,3,7,1,30,1,6,5,30,1,13,1,6,1,30,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,30,1,6,4,29,2,30,1,29,1,6,2,28,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,9,2,6,1,30,1,6,2,30,4,29,1,6,1,29,1,6,1,30,1,6,1,30,1,6,2,28,1,30,1,6,1,28,1,6,1,28,2,29,1,6,1,30,2,29,1,30,3,29,1,30,1,28,1,30,2,28,2,30,1,28,1,6,2,30,1,29,1,30,5,28,1,30,2,28,1,6,1,28,3,6,1,28,2,30,4,28,1,29,1,30,8,28,1,6,1,30,2,6,1,30,3,6,2,30,4,28,1,30,1,6,1,28,1,30,10,6,1,30,1,6,1,30,7,28,1,6,1,30,1,6,1,28,2,30,1,6,1,30,2,6,1,30,2,13,1,30,1,6,1,30,3,29,1,30,2,29,1,30,3,28,1,6,1,30,3,28,1,13,1,29,1,30,1,29,1,6,3,30,1,6,2,29,1,6,5,30,1,6,1,28,1,29,1,28,1,30,3,28,1,6,1,30,2,6,1,28,1,29,1,6,1,30,1,29,1,6,2,30,8,6,1,30,1,29,1,30,2,29,1,6,1,30,3,6,1,30,1,6,1,13,1,6,1,30,2,6,1,30,1,6,2,13,1,7,1,13,1,6,4,30,1,6,2,29,1,7,1,6,1,30,1,6,5,30,1,9,1,13,1,30,1,6,1,28,1,30,1,6,1,30,2,29,1,6,1,28,1,6,2,30,6,6,4,30,1,6,1,28,1,6,1,8,1,13,1,28,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,13,1,6,3,13,1,6,1,29,1,7,1,6,1,7,1,30,1,6,1,13,1,30,1,28,1,30,1,29,1,30,1,28,1,30,3,6,1,28,1,29,1,30,2,29,1,6,1,30,2,6,1,30,1,28,2,30,1,6,1,30,3,28,1,30,4,6,2,29,1,30,1,6,1,30,1,28,2,30,1,28,1,30,2,28,1,30,3,28,5,30,1,6,1,28,7,29,1,24,1,7,2,8,1,24,1,8,2,9,1,10,1,13,1,6,2,8,1,9,1,17,1,12,1,10,4,9,1,13,1,24,1,8,1,11,1,17,5,10,1,11,1,9,1,24,1,10,1,9,1,24,1,9,1,24,4,9,1,24,1,12,3,8,1,13,1,6,1,13,1,6,2,7,1,8,1,24,1,8,2,24,1,10,1,9,3,10,1,17,1,11,2,9,1,17,1,12,1,24,2,8,1,25,1,7,1,6,1,29,1,25,1,6,1,29,2,30,1,28,6,30,1,29,1,6,1,24,1,8,2,24,2,12,1,8,1,12,1,17,1,24,1,10,1,12,6,24,1,12,2,10,1,17,2,25,1,28,3,13,1,12,1,24,1,8,1,13,3,7,1,6,1,25,2,10,1,24,2,10,3,7,1,30,1,28,1,30,2,13,1,6,1,26,1,29,2,6,1,27,2,30,1,27,1,29,1,6,1,28,1,30,1,28,1,30,1,28,6,29,1,28,2,30,1,29,1,27,1,25,1,6,2,8,1,6,1,24,1,7,1,8,1,13,1,10,1,12,2,17,3,10,2,12,1,17,1,12,1,17,16,12,2,17,3,12,1,17,2,10,1,17,4,11,1,17,2,12,5,10,1,11,1,12,1,17,1,10,1,8,1,30,5,28,1,30,3,28,2,30,1,28,8,30,1,28,1,30,2,28,1,29,1,30,2,28,1,6,1,28,1,30,3,28,3,30,1,28,2,30,2,28,3,30,1,28,8,30,2,28,2,30,3,28,2,30,1,29,1,13,1,16,1,24,2,8,4,25,2,8,1,25,2,29,1,6,2,25,3,27,1,25,1,8,1,27,2,25,1,29,3,30,1,27,1,30,1,27,1,30,1,29,3,8,1,7,1,8,1,6,2,28,1,7,1,13,1,8,3,25,1,6,1,25,1,7,1,8,2,13,2,8,2,6,1,13,1,29,1,13,2,24,1,7,2,10,1,7,1,8,3,7,1,8,1,7,1,8,1,24,1,25,1,8,1,12,1,8,1,24,1,17,1,24,1,10,1,24,1,8,1,24,1,8,2,7,1,24,1,8,1,24,4,8,1,25,1,8,1,24,3,25,1,24,1,8,1,24,1,8,2,24,1,8,2,10,1,24,2,12,1,24,2,12,3,24,1,8,1,9,1,17,1,10,1,17,9,12,1,9,1,11,1,13,1,28,11,30,1,28,1,13,1,7,1,13,1,6,1,8,1,9,1,13,1,8,1,13,2,8,1,13,2,24,1,8,1,13,2,8,1,7,1,13,1,7,1,8,1,29,1,13,4,8,1,7,1,8,1,13,1,7,1,30,1,29,1,7,1,30,1,13,4,7,1,8,2,13,2,8,1,13,2,7,1,13,6,7,1,9,1,13,1,9,1,7,1,13,3,11,1,9,1,13,1,9,1,10,1,17,1,11,2,12,2,17,4,10,1,7,1,9,2,13,1,9,1,13,1,9,2,13,1,8,1,11,1,13,2,8,2,9,1,8,1,13,2,28,1,30,1,6,2,28,6,30,3,7,1,9,1,11,2,17,1,8,2,13,2,28,33,13,1,8,1,13,8,6,1,13,2,8,1,13,6,9,1,13,2,9,3,6,1,13,2,6,1,13,1,30,1,6,1,9,1,6,1,13,3,8,1,6,1,13,3,7,1,6,1,13,2,6,1,7,1,9,1,8,1,7,1,8,1,9,2,11,1,9,2,13,1,9,2,13,2,9,1,8,1,13,1,9,1,13,2,8,1,9,4,6,1,13,3,6,2,11,1,30,1,13,1,9,1,6,1,13,3,8,1,10,1,8,1,13,2,9,1,7,1,13,1,8,1,13,1,6,1,13,3,7,1,28,1,13,2,30,1,6,1,29,1,13,2,30,1,13,1,6,3,13,2,7,1,6,1,8,1,13,2,8,1,13,1,9,1,13,2,8,1,13,1,7,1,13,3,8,1,13,4,28,3,6,3,28,8,9,1,14,1,10,2,14,1,8,3,7,1,29,1,6,1,7,2,28,1,29,1,7,1,28,1,6,3,29,1,13,2,11,1,24,1,9,1,12,1,11,1,8,1,28,8,8,1,17,1,13,1,8,1,30,1,28,33,6,1,30,1,17,2,9,1,8,1,30,1,9,2,12,1,17,1,13,1,7,1,29,1,7,1,29,1,6,1,30,1,24,2,9,1,8,1,24,1,8,1,6,1,28,4,13,1,15,1,17,1,29,1,28,1,6,2,29,1,7,1,6,1,13,1,9,1,10,1,9,1,11,1,24,1,13,2,6,2,30,1,9,1,24,1,9,1,8,1,29,1,30,1,28,1,7,1,24,1,7,1,29,1,28,3,30,1,28,44,6,1,8,2,6,1,28,4,}, {30,1,28,1,6,1,30,1,13,2,7,1,13,1,6,1,8,1,13,3,6,1,30,1,7,1,13,1,29,2,6,1,30,1,29,2,30,1,6,1,29,1,28,1,30,1,28,1,30,1,6,3,13,1,7,1,13,1,9,3,11,1,9,1,17,1,12,1,17,2,10,1,9,1,8,1,13,1,29,1,28,10,24,1,8,1,28,7,6,1,7,1,13,1,6,1,29,2,30,1,28,9,24,1,10,1,6,1,28,2,29,1,30,2,28,36,30,1,28,1,30,1,6,1,13,1,8,2,9,2,17,2,8,1,6,1,13,1,8,1,30,1,13,1,9,1,29,1,28,1,30,1,13,1,7,1,24,1,8,1,7,1,24,1,6,1,30,1,28,7,6,1,7,1,8,1,7,1,28,6,13,1,9,1,17,1,24,1,8,1,6,2,7,1,24,2,8,2,9,1,10,1,14,1,15,1,30,1,6,1,7,1,29,1,6,1,29,2,28,36,30,1,29,1,6,1,24,1,8,1,6,1,28,5,8,1,12,1,9,1,8,1,9,1,8,1,6,3,30,1,6,3,29,1,28,1,29,1,28,2,29,1,28,1,30,1,6,2,13,1,24,2,12,2,13,1,9,1,11,1,24,1,28,34,6,1,9,3,12,1,17,1,16,2,11,1,16,2,11,2,16,1,11,1,16,1,11,1,9,3,10,1,9,6,11,4,17,1,11,1,9,2,10,1,11,2,9,2,11,4,9,3,11,1,9,1,11,1,13,1,11,1,9,1,8,1,16,2,11,1,16,1,9,1,11,1,17,1,9,1,16,1,11,1,16,1,11,1,17,1,11,1,16,1,9,1,17,1,9,1,16,3,9,1,17,1,11,1,16,1,17,1,16,1,17,1,9,4,11,1,10,1,16,1,9,3,11,1,9,1,13,1,9,1,13,3,6,2,30,1,28,1,6,1,7,1,28,1,13,1,6,2,13,1,6,1,30,2,13,1,6,1,30,1,13,1,29,1,28,1,6,1,28,1,30,1,29,1,28,1,30,2,28,3,30,2,28,1,13,2,8,1,13,1,8,3,13,1,29,1,28,1,6,1,28,1,6,1,28,1,6,1,28,1,6,1,29,1,28,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,29,1,30,1,29,2,28,1,6,1,30,6,6,1,29,1,30,1,6,1,30,1,29,1,6,1,8,1,17,1,11,1,9,1,16,1,11,1,16,2,11,1,9,1,11,1,16,1,11,1,16,3,11,1,16,1,10,1,9,1,16,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,9,4,16,1,11,1,8,1,9,2,10,1,11,1,9,1,11,1,9,1,10,1,9,1,16,1,9,2,10,1,9,7,11,1,10,1,9,2,11,1,9,1,13,1,9,1,11,1,8,1,10,1,9,1,11,1,8,1,9,7,10,1,11,2,9,1,11,1,9,4,8,1,9,2,13,3,8,1,7,1,6,1,29,1,24,1,29,1,30,1,28,2,30,1,28,17,6,1,30,1,28,1,30,2,6,1,30,1,6,1,13,1,8,1,7,1,28,1,30,1,28,7,6,1,7,1,29,1,7,1,6,3,29,1,6,1,30,1,28,2,7,1,28,1,30,3,28,1,30,4,28,28,6,1,7,1,13,1,24,1,13,1,12,1,13,1,6,1,28,1,30,4,6,1,13,2,9,1,13,1,29,1,13,3,8,2,6,1,29,1,7,1,13,1,29,1,6,1,9,1,13,1,9,1,13,1,30,1,6,1,29,1,28,1,30,1,28,92,30,1,28,74,30,2,28,2,29,2,28,2,6,1,28,1,30,1,28,20,6,1,30,1,28,1,6,1,12,1,17,18,9,1,17,3,12,1,24,1,17,1,12,2,17,3,16,1,17,2,16,1,11,2,17,1,11,2,16,1,17,4,11,1,16,1,11,4,9,5,16,1,9,1,16,1,9,1,11,1,16,1,11,2,16,1,11,1,16,1,9,1,11,1,16,1,17,5,9,1,13,2,9,1,13,6,8,1,13,1,8,1,30,1,13,1,6,6,13,1,6,1,30,2,29,1,6,3,30,2,29,1,6,1,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,2,13,1,30,4,6,3,13,1,29,1,30,1,6,3,30,2,6,5,30,2,6,1,28,1,6,1,13,1,6,2,13,1,30,1,7,1,6,2,7,1,6,1,30,2,6,1,13,1,6,1,7,1,6,3,30,2,6,3,13,1,30,4,28,1,6,1,30,3,29,1,6,1,30,2,6,1,17,1,6,1,30,1,7,1,30,3,28,1,6,1,30,2,29,1,28,1,13,1,30,1,29,1,30,2,29,1,28,1,30,4,6,2,30,1,28,1,30,8,6,1,28,1,30,3,28,1,30,1,29,1,30,1,28,1,30,3,28,2,30,1,6,1,30,1,28,2,30,1,6,1,30,2,28,2,29,1,30,1,28,2,30,1,28,1,30,1,28,1,30,5,28,1,30,1,6,1,30,2,6,1,30,2,6,2,30,10,29,1,30,5,28,1,6,1,30,6,6,1,30,2,28,2,30,1,28,2,30,1,28,1,30,3,6,1,30,2,29,1,30,2,6,2,30,1,6,1,30,1,6,2,29,1,6,1,30,2,28,2,6,2,30,2,28,1,30,1,6,1,13,1,29,2,30,1,7,1,30,2,6,1,30,1,6,3,30,5,29,1,30,2,6,1,28,1,7,1,6,1,30,1,7,1,6,2,30,1,6,1,30,2,6,1,30,3,28,2,29,1,6,1,28,1,7,1,30,2,6,1,28,1,6,1,28,1,29,2,6,2,30,1,7,1,30,1,6,1,30,1,13,1,6,1,30,3,29,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,13,1,6,6,13,1,28,1,6,1,30,3,6,1,30,3,6,1,30,1,6,2,30,1,13,1,30,1,6,2,13,1,30,4,6,2,30,1,6,1,30,3,28,1,30,1,13,2,6,1,30,1,6,1,7,1,13,1,30,1,6,1,13,1,30,1,7,1,6,2,30,1,6,1,30,1,6,1,13,1,6,6,29,1,6,2,30,4,29,1,30,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,28,3,6,2,30,2,6,1,29,1,6,1,30,2,6,1,30,1,6,2,30,7,28,1,30,2,28,2,30,1,28,2,30,1,29,1,28,7,30,1,9,1,8,1,13,1,8,1,24,1,8,2,9,1,13,3,9,1,12,1,11,1,12,1,9,1,10,2,9,1,12,1,24,1,9,3,8,1,12,1,17,5,11,1,17,1,9,1,10,1,9,2,10,1,12,1,8,2,9,3,12,2,9,1,10,2,30,1,6,1,8,1,29,1,6,1,8,4,10,2,24,1,10,2,11,1,17,1,11,1,17,3,12,1,10,1,24,1,8,1,30,1,7,1,8,1,6,1,24,1,6,1,8,1,29,1,30,1,28,8,6,2,25,2,24,1,8,1,24,3,12,1,24,2,10,1,24,1,12,1,24,1,12,3,24,1,12,2,17,2,8,1,28,2,29,1,24,1,17,2,10,1,7,1,6,1,13,1,7,1,6,1,8,3,24,1,8,1,12,3,24,1,8,2,13,1,6,1,7,1,6,1,29,1,30,6,29,1,28,1,30,2,28,11,29,2,6,1,30,1,8,1,25,1,8,1,13,1,7,1,24,1,8,1,9,1,12,1,24,2,10,1,12,1,17,2,12,1,17,4,12,1,17,17,12,1,17,2,12,1,17,5,11,1,17,4,11,1,10,1,12,1,9,2,17,2,9,1,13,2,30,3,29,1,30,2,28,1,30,2,28,5,30,3,28,5,30,1,28,4,30,1,29,1,28,3,30,3,28,3,30,1,28,13,30,1,6,1,30,1,28,8,30,3,10,1,17,1,24,2,8,3,24,1,25,1,24,1,25,1,8,1,6,1,25,1,8,1,25,2,8,1,30,1,27,1,25,1,26,1,8,1,29,1,25,2,26,1,27,2,29,1,6,2,30,1,29,1,6,1,8,1,6,1,29,1,6,1,7,1,25,1,6,1,8,1,7,3,29,1,25,1,7,1,24,1,8,1,6,1,30,1,8,1,7,1,6,1,13,1,8,1,13,2,6,1,13,1,6,1,8,3,7,1,8,1,24,2,8,1,24,2,8,1,24,1,17,1,8,1,24,1,12,1,24,1,6,1,24,1,8,1,24,1,8,1,7,1,24,1,30,1,13,1,12,1,24,2,12,1,24,2,12,1,24,1,25,1,24,2,25,2,24,2,25,1,24,1,8,1,24,1,25,1,24,4,8,2,24,2,12,1,10,1,12,2,17,3,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,12,1,17,1,8,1,9,1,10,1,8,1,28,10,30,2,6,1,13,6,9,1,13,1,7,1,13,1,8,1,13,4,6,1,13,2,7,1,13,4,8,1,9,1,13,3,7,2,13,3,6,1,30,1,13,2,6,1,9,1,13,1,10,1,9,2,7,1,13,1,6,2,29,1,8,1,13,2,30,1,9,1,6,1,13,2,30,1,8,2,6,1,8,1,13,2,10,1,8,1,11,1,17,1,11,2,12,1,17,1,11,2,17,3,13,1,9,3,11,1,9,2,13,2,9,1,13,1,9,1,8,1,9,2,13,1,8,1,13,1,6,1,30,2,6,1,30,1,28,3,30,1,28,1,6,1,28,3,30,1,6,1,10,1,9,1,17,1,11,3,13,1,6,1,28,1,30,1,28,31,8,1,30,1,13,1,9,1,13,5,30,1,13,2,6,1,7,1,13,2,6,1,13,3,8,1,9,4,8,1,9,1,13,2,28,1,13,3,10,1,8,1,30,1,13,1,8,1,13,1,9,1,7,1,13,1,6,1,7,1,6,1,7,1,13,3,10,1,8,1,6,1,8,1,9,1,8,1,13,1,9,2,16,1,9,4,11,1,13,1,9,1,13,1,10,1,9,1,13,1,11,1,13,1,9,4,13,2,8,1,13,1,16,1,6,1,9,2,8,1,13,1,9,3,8,1,9,1,13,1,9,1,10,1,9,1,7,1,6,1,9,1,6,1,13,3,9,1,13,2,6,1,13,1,6,1,29,1,6,1,13,3,7,1,6,1,13,4,6,2,9,3,8,1,13,1,9,1,13,1,9,1,13,1,8,1,7,1,13,3,8,1,13,3,28,3,13,1,6,1,7,1,28,8,11,1,15,1,9,1,14,1,9,1,12,1,8,1,7,1,13,2,29,1,30,2,28,1,30,1,29,1,28,1,6,5,13,1,9,2,17,1,9,2,13,1,28,7,6,1,9,2,24,1,8,1,29,1,28,34,6,1,17,2,9,1,8,1,30,1,9,2,12,1,10,1,6,1,13,1,30,4,29,1,24,1,9,1,24,1,17,1,8,2,28,2,30,1,28,2,6,1,9,1,12,1,29,1,28,2,29,1,7,1,6,1,13,1,9,1,24,1,11,1,10,1,12,1,17,1,10,1,7,1,6,2,13,1,6,1,17,1,11,1,24,1,28,1,30,1,6,1,9,1,8,2,28,49,29,1,24,1,13,1,6,1,28,4,}, {28,5,6,1,30,1,13,1,30,1,7,1,6,1,28,3,13,1,29,1,6,2,29,2,13,3,30,1,13,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,6,2,13,1,30,1,13,2,7,1,13,1,9,1,10,1,17,3,10,1,8,2,13,2,28,9,29,1,24,1,8,1,29,1,28,5,29,1,8,2,6,1,8,1,13,1,28,11,8,2,28,2,6,2,28,37,30,2,29,1,28,1,13,1,8,1,6,1,24,1,9,1,10,1,17,2,13,2,24,1,30,1,28,1,24,2,28,1,30,1,28,1,7,1,29,1,24,1,8,2,24,1,6,1,29,1,28,4,30,2,28,1,30,1,6,2,7,1,28,6,8,1,12,1,15,1,9,1,6,1,8,2,13,1,24,3,8,1,10,1,12,1,17,1,9,1,7,1,6,3,13,1,6,1,28,38,6,1,8,1,9,1,24,1,29,1,28,5,13,1,17,1,24,1,9,1,8,1,6,1,8,2,6,2,7,1,30,1,28,1,30,2,29,1,28,1,6,1,30,1,28,1,6,1,28,1,6,2,8,1,10,1,15,1,8,1,13,1,24,1,15,2,6,1,28,28,30,1,7,1,28,3,8,1,9,1,8,1,9,1,12,1,10,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,1,9,4,11,1,9,3,11,2,9,1,16,1,9,1,17,1,9,2,11,1,9,2,10,1,9,1,11,1,9,1,11,3,9,2,11,1,9,2,16,1,9,1,11,1,16,3,17,1,10,1,11,3,16,1,13,1,16,1,11,1,16,1,17,1,11,1,16,2,11,1,16,1,11,1,9,2,17,1,11,1,16,1,17,1,16,2,17,1,9,1,11,1,9,1,16,1,9,1,16,1,9,2,8,1,9,1,6,1,13,2,9,1,6,1,13,1,30,2,6,1,29,1,28,1,29,1,30,1,13,1,28,1,6,1,28,1,6,2,29,1,6,1,7,1,6,2,30,1,29,1,6,2,30,2,29,1,28,2,30,1,28,4,6,2,30,1,6,2,8,1,6,1,8,1,29,1,9,1,13,1,9,1,8,1,29,1,30,4,28,1,6,1,30,2,28,1,6,1,28,1,30,2,29,1,28,2,29,1,28,1,29,1,30,2,28,1,30,1,6,1,28,1,30,2,6,1,30,1,6,1,7,1,6,1,29,2,28,1,30,1,29,2,13,2,16,1,11,2,16,1,11,1,9,1,16,6,11,2,16,1,11,1,16,1,11,1,16,2,9,2,11,1,9,2,10,1,9,4,10,1,9,1,16,1,11,1,9,4,8,1,9,1,11,1,10,1,11,1,9,2,11,1,9,5,8,1,9,1,10,1,9,2,10,1,9,1,10,1,13,1,9,1,16,1,13,1,10,1,9,1,10,1,9,5,10,1,9,6,11,1,9,2,8,1,9,2,8,1,9,1,6,1,13,1,6,1,8,1,13,1,6,1,29,1,6,1,7,1,29,1,30,1,28,1,30,1,28,21,30,2,29,1,30,1,13,3,6,1,28,1,30,2,28,6,6,1,7,1,13,1,6,1,29,1,6,1,28,1,6,1,28,1,6,1,28,1,30,1,29,1,6,1,30,1,6,1,28,3,30,1,28,4,30,1,28,25,7,1,8,1,9,2,8,2,28,1,29,1,28,3,29,1,8,1,30,1,13,1,24,1,7,1,8,2,7,1,8,1,29,1,7,2,30,1,28,1,13,1,30,1,6,1,8,1,13,1,7,1,8,1,24,1,13,1,28,1,13,1,28,91,29,1,6,1,28,78,30,1,28,1,30,2,29,1,28,2,30,1,28,23,6,1,12,1,17,21,10,1,17,1,12,2,17,1,9,1,17,1,10,1,11,1,17,1,12,2,10,1,17,2,16,1,9,1,17,1,16,1,17,3,11,2,16,1,11,1,9,1,11,1,9,6,11,5,16,1,11,2,16,1,11,1,9,1,11,1,9,1,16,1,17,1,16,2,17,1,16,1,13,1,30,1,13,4,6,1,13,2,9,3,6,1,13,1,6,1,30,1,6,2,30,2,6,2,28,1,6,2,30,1,6,1,30,1,6,2,30,3,28,1,6,1,30,1,6,1,30,2,6,1,30,4,6,3,30,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,13,1,29,1,6,2,13,3,6,4,29,1,13,1,6,4,30,1,29,1,30,1,13,1,30,1,6,3,7,1,13,1,6,1,7,1,6,2,29,1,6,1,13,1,6,3,13,1,6,1,30,1,13,1,30,2,6,1,30,2,6,1,30,1,28,1,30,1,6,1,30,1,29,1,28,1,30,2,6,1,30,2,17,1,9,1,6,1,29,1,6,2,30,2,6,1,28,1,30,1,29,2,30,1,6,1,30,4,29,1,30,1,29,1,30,1,29,1,30,2,6,2,29,1,6,1,30,9,28,1,30,3,28,1,29,1,28,1,6,1,30,2,28,1,6,1,28,1,30,6,28,2,30,17,6,1,30,1,6,1,30,1,6,1,30,2,28,1,6,1,30,5,6,1,28,1,30,1,28,2,30,3,6,1,30,3,28,1,6,1,30,1,28,1,6,1,30,2,6,1,13,1,6,2,30,1,13,1,6,1,13,1,30,2,6,1,28,1,30,1,13,1,30,2,28,1,30,1,6,1,28,2,6,1,28,3,6,1,28,2,30,6,6,1,13,1,30,1,6,3,30,2,7,1,13,1,30,3,6,1,28,1,30,1,28,1,30,1,6,1,30,3,6,1,28,1,30,2,29,1,30,3,6,1,30,2,6,2,30,1,28,1,30,1,6,1,28,1,30,1,6,1,30,1,13,1,30,1,29,1,7,1,30,1,6,1,30,2,29,1,6,1,30,1,6,3,30,3,6,1,30,1,13,1,30,2,6,1,28,1,6,2,30,1,29,1,30,1,6,1,28,1,6,1,28,1,6,2,30,1,6,2,29,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,30,3,6,3,30,1,13,1,6,3,30,1,6,4,28,1,30,1,6,3,30,2,28,1,6,1,9,1,13,1,30,2,6,1,30,1,6,2,30,1,6,3,30,2,6,1,28,1,30,1,6,1,13,1,6,2,13,1,6,3,30,1,6,2,30,2,28,1,30,1,29,2,30,3,6,1,30,1,6,1,30,1,29,1,28,1,6,1,29,1,30,5,6,1,30,1,6,1,30,2,6,4,28,1,30,1,28,1,30,2,6,1,28,2,30,1,28,1,30,1,28,1,30,2,28,4,30,1,6,1,28,2,30,1,28,5,30,1,13,3,8,1,13,1,9,1,10,1,13,2,8,1,9,1,17,1,12,1,17,1,11,1,24,1,11,1,9,1,10,1,24,1,9,1,10,1,9,1,8,1,13,1,24,1,8,1,10,1,11,1,10,1,17,1,10,2,11,1,9,1,24,1,9,2,10,1,8,2,13,1,12,1,24,1,12,2,8,1,13,1,24,1,7,1,13,1,6,1,29,1,6,1,24,2,10,1,24,1,9,2,8,1,9,1,10,1,9,1,12,1,17,2,12,1,10,1,24,1,10,1,8,1,7,2,8,1,7,1,6,1,30,2,28,9,30,1,6,1,29,1,8,1,25,3,8,1,24,4,12,1,24,2,25,1,12,1,10,1,12,1,24,1,12,1,17,1,24,1,17,2,25,1,28,1,6,2,7,1,17,4,13,1,30,1,28,1,6,1,7,1,25,1,24,1,12,1,10,1,12,2,10,1,24,1,7,2,29,1,6,2,29,1,30,1,29,1,27,1,28,2,29,1,28,3,29,1,30,1,28,4,29,1,28,2,6,1,28,1,30,1,29,1,6,1,29,1,25,1,7,1,25,1,7,1,24,2,8,1,10,3,9,1,17,1,12,3,17,2,12,1,17,4,12,1,17,14,12,2,17,1,12,1,17,3,12,1,17,2,12,2,17,4,12,2,9,1,17,2,11,1,9,1,13,1,29,1,30,1,6,1,30,1,6,2,28,1,30,3,28,6,30,1,28,2,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,30,1,28,4,30,1,28,1,30,1,28,11,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,1,6,1,7,1,9,1,11,1,9,1,8,1,13,1,8,3,24,2,8,1,7,1,29,1,8,1,26,1,6,1,27,3,25,2,26,1,25,1,29,3,26,1,29,1,25,1,6,1,7,1,26,1,6,1,29,1,6,1,29,1,25,1,6,1,25,1,6,1,29,1,24,1,8,1,6,4,7,1,6,1,30,1,25,1,13,1,30,1,25,1,6,1,8,1,6,1,29,1,8,1,25,1,28,1,8,2,7,1,29,1,13,1,7,1,13,1,24,4,13,1,12,1,24,2,12,1,24,2,10,1,25,1,10,1,24,4,12,1,8,1,12,1,6,1,12,1,24,4,6,1,8,2,24,1,10,1,24,1,25,1,24,1,25,1,24,2,25,2,24,1,7,1,25,1,24,1,10,1,17,1,9,1,24,1,8,2,12,1,9,1,17,1,12,1,17,1,12,2,17,7,12,1,17,1,10,1,9,1,8,1,9,1,6,1,28,12,6,1,13,2,8,1,13,1,6,1,13,5,7,1,13,1,7,1,13,4,8,1,7,1,13,1,7,3,6,1,8,1,13,1,7,3,13,1,7,1,13,1,7,2,13,1,7,1,13,3,8,2,9,1,6,1,8,1,6,2,8,1,7,1,13,3,8,1,7,1,6,1,13,7,8,3,11,1,17,1,11,2,12,1,11,1,17,1,12,1,17,2,11,2,6,1,11,1,13,1,9,3,10,1,13,1,9,1,13,1,9,2,13,1,10,1,8,2,9,1,13,1,6,1,28,3,30,1,28,3,30,1,28,2,6,2,28,1,6,1,9,1,16,1,17,2,10,1,9,1,13,1,7,1,28,1,6,1,30,1,28,30,8,1,9,1,8,1,13,7,30,1,13,1,6,1,9,1,13,1,16,1,13,2,7,1,13,1,9,2,13,1,9,2,13,3,28,2,6,1,28,1,9,1,6,1,13,1,8,2,9,2,13,2,9,1,13,1,6,3,13,1,9,1,8,1,9,1,13,1,8,1,6,2,13,1,9,1,8,2,9,2,10,1,13,1,9,2,8,1,13,3,8,1,9,1,8,1,11,1,8,1,13,1,9,1,11,1,13,8,9,5,13,1,9,1,6,1,9,1,13,1,11,1,13,3,9,2,13,5,29,1,8,1,7,1,30,1,13,1,6,1,13,1,30,1,13,1,7,1,6,1,13,1,6,1,9,1,30,1,9,1,6,1,13,2,11,1,6,1,11,1,8,1,13,2,8,1,13,5,8,1,13,1,6,2,28,2,13,1,30,1,6,1,28,2,30,1,28,5,8,1,14,1,17,1,9,1,17,1,9,1,8,1,13,2,6,4,30,1,28,1,6,2,29,1,7,1,6,2,13,1,8,1,7,1,17,1,9,1,10,1,11,1,29,1,28,7,30,1,10,1,8,1,13,1,24,1,6,1,30,1,28,33,7,1,17,2,8,2,7,1,8,1,10,2,12,1,6,1,29,1,6,1,28,3,6,1,8,1,15,1,7,1,12,1,8,2,30,1,28,3,30,1,6,1,9,1,8,1,29,1,28,2,30,1,6,1,8,1,13,1,9,2,8,1,17,2,12,2,8,1,7,1,6,2,8,1,17,1,12,1,13,1,30,2,28,1,9,1,13,1,8,1,29,1,28,48,13,1,24,1,7,1,13,1,28,4,}, {29,1,28,1,30,2,28,1,30,1,6,1,28,1,30,1,28,2,29,1,30,2,28,2,30,3,6,4,10,1,6,2,28,7,6,1,7,1,30,1,13,1,7,1,6,1,13,2,9,1,17,3,9,1,8,2,9,1,6,1,28,10,24,1,13,1,28,7,24,1,6,1,7,1,8,1,29,1,30,1,28,9,29,1,13,1,24,1,30,1,13,2,30,1,28,40,6,1,13,1,6,1,8,1,7,1,13,1,16,1,17,2,9,1,13,2,30,2,6,1,24,1,6,3,7,1,13,1,8,1,24,2,10,1,6,1,29,1,28,8,6,1,7,2,28,6,8,1,17,1,24,2,13,1,24,1,13,7,9,1,17,1,15,1,13,1,6,2,30,1,6,1,8,1,28,37,6,1,29,1,8,1,15,2,13,1,28,5,8,1,12,1,24,1,9,1,13,1,8,1,13,1,6,2,28,6,30,2,29,1,28,1,7,1,6,1,13,1,29,1,6,1,24,1,29,1,12,1,13,1,8,1,10,1,17,1,9,1,29,1,28,15,30,1,28,17,13,1,8,1,12,1,9,2,10,1,16,1,9,1,16,1,10,1,9,1,11,3,9,1,16,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,10,1,11,2,10,1,11,1,10,1,17,1,11,2,10,1,9,3,11,1,9,1,16,1,10,1,16,2,11,1,9,1,17,1,11,1,9,1,16,1,11,2,10,1,11,1,17,1,9,1,11,1,16,1,10,1,11,1,16,1,11,5,9,2,16,1,11,4,16,2,10,1,11,2,10,1,9,1,13,3,6,1,28,1,6,1,30,2,29,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,1,28,1,29,1,30,1,6,2,30,1,6,1,29,1,6,1,30,1,28,1,7,1,28,1,13,1,28,1,13,1,28,1,30,2,6,1,13,1,28,1,30,1,29,1,28,3,30,2,6,1,29,1,13,1,6,1,8,1,29,1,8,2,9,1,8,1,30,1,28,1,29,1,28,2,13,1,28,2,6,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,29,1,28,1,29,1,28,1,29,1,30,2,29,1,6,1,30,1,28,1,29,1,6,3,7,1,30,1,28,1,13,1,30,2,13,2,10,1,11,1,17,1,11,1,16,1,11,2,16,1,9,1,11,1,16,2,11,1,16,1,11,2,16,3,11,1,9,1,11,2,9,2,8,1,9,3,10,1,16,1,9,1,8,1,11,1,9,1,11,1,9,1,16,1,9,2,8,1,9,2,16,1,11,1,8,1,9,1,11,1,9,2,11,1,9,2,8,2,9,7,11,1,8,1,11,1,9,2,10,1,11,1,9,6,11,1,9,1,11,1,10,1,11,1,9,4,13,4,6,1,8,1,7,1,30,1,7,2,29,2,30,1,28,18,6,1,30,1,28,2,30,1,28,2,30,2,13,1,8,1,13,1,7,1,30,1,28,2,30,1,28,5,30,1,13,1,7,1,29,1,13,1,30,1,6,1,7,1,6,2,28,1,30,1,28,1,29,1,30,1,6,1,30,1,6,1,28,2,30,1,28,16,30,1,28,12,13,1,10,1,9,1,8,1,9,1,6,1,28,2,30,1,28,2,6,1,13,1,7,1,13,2,29,1,13,1,7,1,30,1,13,1,29,1,6,6,28,1,30,2,29,1,13,1,24,2,13,2,6,1,28,90,30,1,28,79,30,1,28,1,30,1,6,1,28,1,30,1,28,26,17,21,12,2,17,2,12,2,9,1,12,1,17,1,10,1,17,1,9,1,11,1,9,1,17,2,16,1,11,1,17,1,16,2,11,1,16,1,11,2,9,2,11,1,9,1,13,1,9,2,10,1,11,3,16,1,11,1,9,1,16,1,11,1,16,1,11,5,9,1,17,2,16,2,17,1,8,1,13,1,6,2,13,1,6,1,13,2,6,1,13,1,8,1,9,1,6,2,13,1,30,1,6,5,29,1,6,1,30,4,6,3,28,1,30,1,6,1,28,1,6,2,30,2,6,2,30,2,6,1,28,1,30,2,29,1,30,1,6,4,30,1,6,5,30,1,6,4,30,1,7,1,30,1,6,2,30,1,13,2,30,1,6,5,30,1,6,2,30,2,6,1,29,1,13,1,6,1,7,1,6,1,30,1,6,1,29,2,6,1,30,1,6,2,29,1,6,2,7,1,30,1,6,1,13,1,7,1,29,1,6,1,30,1,28,1,30,2,6,1,30,2,28,2,30,2,6,1,29,1,28,1,13,1,11,1,17,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,3,30,2,6,1,30,2,6,1,28,2,30,3,6,1,13,1,30,1,6,2,30,3,6,1,29,1,30,2,29,1,30,10,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,28,1,30,3,6,1,30,4,28,1,30,2,6,1,30,3,28,1,30,1,28,1,30,2,29,1,30,3,6,1,30,1,28,1,6,1,30,2,6,1,30,3,6,1,30,5,6,2,30,3,6,1,30,2,6,2,28,1,30,5,6,2,30,1,6,1,30,2,6,1,30,3,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,1,28,1,30,3,28,2,30,1,28,1,30,2,28,1,6,1,30,3,6,1,30,3,6,1,30,4,6,3,29,1,30,4,6,1,30,3,28,2,6,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,4,29,1,30,2,6,2,30,1,6,1,30,1,6,1,28,1,30,5,6,5,30,2,6,1,29,1,6,1,30,6,6,2,30,1,6,1,29,1,30,3,6,7,30,1,28,1,7,1,28,1,6,1,30,1,7,1,30,1,6,1,28,2,30,2,29,1,30,1,29,1,6,1,30,1,6,3,30,1,6,1,30,2,29,1,30,3,28,1,13,1,9,1,13,1,28,1,30,1,6,1,30,1,6,1,28,1,29,1,6,6,13,1,6,1,30,2,13,1,6,1,30,1,6,4,29,1,30,1,28,1,30,6,28,1,30,4,28,1,6,1,30,5,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,2,30,1,6,2,30,7,28,1,30,4,6,1,30,2,28,3,30,2,28,2,30,1,28,1,30,1,28,4,6,1,30,1,29,1,13,1,7,1,6,1,11,1,13,1,9,3,12,1,17,1,12,2,13,1,8,1,12,1,8,1,24,1,10,1,24,1,12,1,9,1,13,2,24,1,13,1,11,1,9,1,12,2,10,1,8,1,12,1,9,1,10,1,24,2,12,1,24,1,8,3,9,1,12,1,8,1,10,1,13,2,8,1,6,1,29,1,8,1,9,1,8,1,24,1,9,1,12,1,10,2,11,1,10,1,17,5,12,1,24,3,8,1,25,1,24,1,8,1,6,1,24,1,7,1,28,9,30,1,28,1,30,1,6,2,29,1,30,1,25,1,26,1,8,1,24,1,8,1,24,5,10,2,12,2,24,1,12,1,17,1,12,1,8,1,29,2,8,1,13,1,12,1,17,4,9,1,6,1,28,2,25,1,24,1,10,1,24,1,12,2,24,2,29,2,28,1,29,2,28,1,27,1,30,2,28,1,29,1,28,1,30,2,29,1,28,3,30,1,28,1,30,1,28,3,30,2,13,1,7,1,25,1,6,1,7,1,8,3,7,1,24,1,10,1,24,2,12,3,17,6,12,2,17,18,12,1,17,1,12,1,11,1,12,1,17,4,11,2,17,4,11,1,12,1,8,1,13,1,9,1,13,1,6,1,7,1,29,1,6,1,30,1,28,17,30,1,28,2,30,1,28,5,30,1,28,3,30,4,28,2,30,1,28,4,30,1,28,12,30,3,28,1,29,1,28,1,30,2,28,1,30,1,6,1,30,1,16,1,10,1,9,1,24,1,8,1,24,1,13,2,7,1,25,1,8,1,29,1,25,3,29,1,25,1,26,1,27,1,30,1,28,1,27,1,25,1,29,1,25,1,27,1,25,1,26,1,8,1,27,1,29,1,30,1,7,1,6,1,30,1,8,1,6,1,28,1,29,1,8,1,7,1,8,1,7,1,6,3,29,1,13,1,7,1,25,1,30,1,29,1,8,1,25,1,6,1,7,1,25,1,7,1,6,1,8,1,13,1,8,1,7,1,24,1,13,1,8,1,24,1,7,1,24,1,10,1,24,1,8,1,24,1,13,1,24,2,25,1,8,1,24,1,7,1,30,1,6,1,8,1,24,1,7,1,8,2,25,1,8,2,24,1,8,1,24,3,25,1,24,1,25,2,8,1,6,1,24,1,12,1,25,1,24,1,8,2,24,1,25,1,8,1,13,1,8,2,6,1,8,1,24,1,12,1,10,1,12,2,24,1,17,1,10,1,12,1,17,3,12,1,17,1,12,1,17,2,12,3,11,1,9,1,12,1,9,1,7,1,28,11,30,1,28,1,13,1,9,1,13,1,8,1,13,6,7,1,6,1,7,1,13,3,8,1,13,3,9,2,13,1,6,1,13,2,6,1,7,1,8,1,13,1,7,1,13,1,6,1,13,1,8,2,9,1,24,1,13,1,8,1,13,2,9,1,7,1,8,2,13,1,8,1,7,1,6,1,13,1,6,1,13,2,8,1,7,1,9,1,8,2,13,1,11,2,12,1,17,1,12,1,10,1,17,1,12,2,11,1,10,1,12,1,11,1,17,1,11,1,9,3,10,1,9,1,13,1,8,1,13,1,9,1,13,1,11,1,13,1,9,3,13,2,28,1,30,1,28,1,30,1,6,1,28,2,30,2,28,1,30,2,28,2,6,1,13,1,9,1,11,1,17,1,11,1,17,1,10,1,9,1,6,2,30,1,6,1,28,29,30,1,13,3,8,3,13,2,9,1,30,1,9,1,30,1,13,2,30,1,13,5,8,3,13,1,9,1,13,3,6,1,13,2,6,1,13,2,9,1,13,1,9,2,13,3,6,1,13,3,6,1,8,1,13,1,9,1,13,6,9,3,11,1,13,1,8,1,9,2,8,1,13,1,9,3,13,1,9,1,13,1,7,1,9,1,13,2,6,1,13,1,6,1,13,1,8,1,13,2,9,1,30,1,9,1,6,1,9,3,13,5,9,1,13,1,9,1,13,2,8,1,13,2,6,1,13,1,6,1,13,1,6,1,13,2,30,1,13,1,9,1,13,1,6,2,28,1,13,1,30,1,13,5,8,3,13,1,9,2,13,1,8,1,13,4,8,1,9,1,13,2,28,3,30,1,28,1,29,1,28,8,16,1,17,2,12,1,17,1,9,1,11,1,8,1,13,1,29,3,30,2,29,1,30,3,6,1,7,1,13,1,6,1,8,2,9,1,13,1,16,1,10,1,13,1,28,7,29,1,12,1,17,1,8,1,13,2,28,34,8,1,17,1,12,1,8,1,13,1,6,1,8,1,12,2,9,1,6,2,28,2,30,2,8,2,15,1,8,1,12,2,24,1,28,4,6,1,13,1,10,1,8,1,6,1,28,1,30,1,6,1,29,1,24,1,9,2,12,1,17,4,24,1,9,1,8,1,7,1,6,1,24,1,12,2,7,1,28,1,30,1,29,1,6,1,24,1,8,1,28,49,30,1,24,1,9,1,7,1,28,4,}, {6,2,28,1,29,1,30,1,29,1,30,2,28,4,30,1,6,1,29,1,30,1,29,1,28,1,29,1,6,1,28,1,8,1,6,1,8,1,28,1,6,1,28,1,6,1,28,1,6,1,28,3,30,1,28,4,30,1,28,1,6,1,24,1,9,1,17,2,8,1,9,1,8,1,24,1,6,1,28,9,29,1,24,1,8,1,30,1,28,6,8,1,13,1,7,1,6,1,29,1,6,1,28,10,8,1,24,1,13,1,6,1,28,40,29,1,28,1,6,1,8,1,13,2,6,1,8,1,12,1,17,1,12,1,13,2,8,1,6,1,29,1,7,1,8,1,6,1,28,1,6,1,13,1,7,1,24,1,8,1,9,1,24,1,7,1,28,8,30,1,6,1,9,1,7,1,28,5,29,1,13,1,10,1,9,2,13,2,7,1,13,1,9,1,24,1,8,1,13,2,9,1,17,1,15,1,13,2,6,4,29,1,28,36,30,1,29,1,13,1,8,1,24,1,8,1,28,5,7,1,10,1,9,1,24,2,7,1,13,1,30,1,6,1,29,1,6,1,30,3,29,1,28,1,6,1,30,2,29,1,6,1,29,1,6,1,29,1,13,1,8,1,13,1,24,3,10,1,14,1,30,1,28,15,30,1,28,17,6,1,9,2,11,2,16,1,10,2,9,1,10,1,9,2,11,2,9,2,16,1,8,1,11,1,10,1,9,1,16,1,13,1,9,1,16,1,10,1,9,4,10,1,11,2,9,1,17,1,11,1,9,1,11,1,16,1,9,1,11,3,16,1,10,1,11,1,9,1,11,1,9,3,11,1,12,1,10,1,11,2,9,1,13,1,11,1,16,1,11,1,16,2,9,1,16,1,11,1,9,1,11,2,9,1,13,1,16,1,9,1,11,1,13,1,9,1,8,1,13,1,9,1,13,1,28,1,6,3,13,1,28,1,30,1,6,2,30,1,28,1,30,2,6,1,30,1,6,1,30,2,6,2,7,1,6,2,28,1,6,1,13,2,30,1,28,1,6,6,30,1,29,1,30,1,6,1,28,1,30,1,28,3,30,1,28,2,29,1,28,1,6,1,28,1,6,1,7,1,13,1,6,1,13,1,8,1,9,1,8,3,28,1,29,1,28,2,30,1,28,3,30,1,28,6,30,1,6,1,28,1,30,2,28,1,6,1,29,2,6,1,30,2,6,1,28,1,13,4,30,2,28,2,30,1,6,1,13,1,17,1,9,1,10,1,11,1,16,2,11,1,16,6,11,1,16,1,9,1,16,1,11,1,17,1,11,1,16,1,11,1,10,1,11,2,9,1,10,1,9,1,13,1,9,1,8,1,11,1,9,2,11,1,9,1,10,1,9,1,8,1,11,1,8,1,11,1,9,4,11,1,8,1,10,1,9,1,8,2,10,2,9,2,8,1,9,3,8,1,11,2,9,4,11,1,10,1,9,1,10,1,9,7,11,1,8,1,9,1,11,1,8,1,9,2,8,1,13,3,8,2,29,1,6,1,13,1,28,1,6,1,28,1,30,1,28,19,30,2,28,1,30,1,29,1,28,1,6,1,9,1,8,1,6,1,7,1,30,1,28,1,13,1,28,5,30,1,28,1,6,2,7,1,29,1,6,1,29,1,30,2,6,1,28,1,30,2,28,1,30,1,28,1,6,1,28,3,30,1,28,4,30,1,28,24,7,1,8,1,13,1,11,1,13,1,8,1,29,1,6,1,28,1,30,1,28,1,30,1,13,2,6,1,13,2,7,1,13,1,8,1,6,1,13,1,6,1,30,1,29,1,30,1,28,1,30,2,28,1,29,1,6,1,30,1,7,1,9,1,24,1,8,1,13,1,28,90,30,1,28,1,30,1,28,109,17,14,16,1,17,9,12,2,17,2,11,3,17,1,9,1,16,1,9,1,16,2,11,1,10,1,9,1,11,3,9,1,11,1,9,1,11,1,9,8,11,1,16,1,11,1,9,1,11,1,16,4,11,2,16,1,11,1,9,1,17,2,11,1,17,1,16,1,6,1,13,2,28,1,13,2,6,1,13,1,7,1,13,1,9,2,13,2,6,1,30,1,6,1,29,1,6,1,30,1,6,2,30,1,6,1,30,1,29,1,30,3,29,1,6,1,29,1,30,5,29,1,30,3,6,1,30,1,6,1,30,2,6,2,30,1,6,1,30,1,6,4,29,1,6,1,29,1,13,1,28,1,7,1,6,8,13,1,29,1,7,1,6,2,7,1,6,1,30,1,6,4,7,1,30,1,6,2,30,1,6,4,7,2,6,2,30,1,6,1,29,1,6,1,30,1,6,3,30,1,7,1,6,1,13,1,6,1,30,1,6,1,28,1,30,2,6,2,30,1,29,1,28,1,30,3,9,1,16,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,28,1,6,2,30,1,28,1,6,1,30,3,6,1,30,2,7,1,30,1,6,2,30,1,6,1,28,1,6,1,30,4,6,1,30,2,29,1,28,1,30,4,6,1,30,4,28,1,30,1,29,1,30,5,29,1,30,3,28,2,30,3,6,1,30,2,28,1,30,1,28,2,30,4,28,1,30,1,28,3,30,1,6,1,30,1,6,1,30,2,28,1,30,1,6,1,30,1,28,1,6,3,30,2,6,1,30,4,6,6,29,1,28,1,30,1,6,2,30,3,6,2,30,5,6,1,29,1,30,2,6,1,30,1,28,5,30,2,28,1,30,2,28,2,30,1,28,3,30,4,28,1,6,2,29,1,30,1,29,1,30,1,28,1,30,1,29,1,6,1,30,1,29,1,6,5,30,4,29,1,30,2,28,1,6,1,30,5,6,1,30,3,28,1,6,1,30,1,6,2,30,1,6,2,30,1,29,2,30,2,29,1,30,1,6,3,30,1,6,4,13,1,6,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,28,2,6,2,30,2,29,1,6,2,13,1,6,1,7,1,6,1,13,1,6,1,28,1,30,1,13,1,30,3,6,1,29,1,6,3,30,1,29,1,30,1,6,1,30,1,6,4,29,1,6,4,28,1,30,4,7,1,9,1,28,1,30,4,6,1,30,1,13,1,6,1,7,1,6,1,30,1,6,2,30,1,6,2,13,1,30,2,6,4,30,1,13,1,28,1,30,1,29,1,28,1,6,1,30,1,28,1,30,6,28,1,30,1,28,1,30,4,28,1,30,1,6,1,30,1,6,1,30,3,6,1,30,1,6,2,30,8,28,2,30,4,28,6,30,1,28,4,30,1,6,1,29,1,28,1,29,1,7,1,8,1,13,1,7,1,29,1,8,1,11,1,24,2,9,1,24,1,11,1,10,1,12,1,11,1,9,1,12,1,8,2,12,1,10,1,9,1,10,1,24,3,8,1,9,2,10,1,12,2,10,1,11,1,9,3,24,3,8,1,13,1,24,2,8,1,24,1,9,1,6,1,13,1,8,1,13,1,6,1,8,1,24,2,9,1,10,1,24,1,9,1,12,1,10,1,9,1,17,4,12,1,17,1,12,1,10,1,24,1,13,1,8,2,24,1,8,1,24,2,6,1,28,14,30,1,6,1,8,1,25,2,8,2,24,1,8,2,24,3,10,1,24,2,10,1,12,1,17,1,8,1,30,1,6,1,8,1,6,1,8,1,17,1,12,1,17,3,12,1,6,1,30,2,6,1,13,1,17,1,24,1,17,2,13,1,28,1,7,1,29,1,28,1,29,1,28,2,29,1,28,2,30,1,29,1,30,2,28,1,30,1,28,7,30,1,28,1,29,1,13,1,7,1,8,2,24,1,8,1,24,4,12,2,9,1,12,1,10,1,8,1,12,2,17,1,12,1,17,21,9,1,24,1,11,1,12,1,17,2,12,1,9,1,12,2,17,4,11,1,17,1,9,1,7,1,28,2,30,2,7,1,6,1,7,1,30,1,6,1,28,7,30,2,28,3,30,3,28,1,6,1,30,1,28,1,30,1,28,2,30,1,28,8,30,1,28,3,30,1,29,1,28,1,30,1,28,13,30,1,28,2,30,1,28,1,30,1,28,1,6,1,28,1,30,2,29,1,30,1,28,1,17,1,10,1,8,1,11,1,8,3,7,1,8,1,25,1,24,1,25,1,8,1,27,1,8,1,29,2,25,1,27,1,24,1,27,1,25,1,26,1,27,1,25,1,27,2,26,1,6,1,28,1,6,1,29,1,7,1,13,1,6,2,29,4,24,1,7,1,8,1,30,2,28,1,6,1,29,1,6,3,8,1,7,3,30,1,8,1,6,1,7,1,8,1,24,1,7,1,8,1,7,2,8,1,13,1,8,2,24,1,8,2,24,1,7,1,24,1,8,1,24,1,8,1,24,1,10,1,8,4,7,1,13,1,8,1,13,1,24,1,8,1,24,2,25,2,27,1,24,5,25,1,27,1,24,1,8,2,28,1,7,1,6,1,24,2,8,1,25,1,24,2,10,1,24,1,12,1,10,1,9,1,12,1,10,1,17,1,12,1,17,2,12,1,17,2,12,1,17,5,12,2,11,3,9,1,28,13,30,1,13,1,7,1,6,1,7,1,8,1,13,1,7,1,8,1,13,1,8,1,7,2,6,1,7,1,13,2,7,2,6,2,7,1,13,3,6,1,13,2,6,1,7,1,6,1,13,4,7,1,8,1,13,1,8,1,13,3,8,1,13,2,6,1,13,1,7,4,13,1,8,2,13,1,24,1,8,1,6,1,7,1,13,1,8,1,10,1,17,2,12,3,9,1,12,1,11,1,12,1,10,1,9,1,12,1,10,1,11,1,9,1,13,1,11,1,9,2,13,1,11,1,9,1,13,1,8,1,13,1,9,1,13,2,6,1,13,1,7,1,30,1,28,2,30,2,28,1,29,1,28,1,30,1,6,1,30,1,28,3,7,1,13,1,11,1,17,1,8,1,11,1,8,2,6,2,28,1,7,1,28,29,29,1,9,1,13,2,9,1,6,1,9,1,13,1,8,1,6,1,13,2,6,2,13,2,8,1,13,1,6,1,13,2,8,2,9,1,8,1,13,1,9,1,13,1,9,1,6,2,30,1,13,3,8,1,13,1,9,1,13,1,9,1,13,1,9,1,7,1,13,2,6,2,7,1,13,3,8,1,13,4,10,1,9,2,13,1,11,1,8,1,9,1,8,2,9,2,13,1,8,1,9,1,10,1,9,1,13,2,9,1,8,2,13,1,8,1,13,2,8,1,9,2,8,1,9,1,13,3,9,2,13,5,8,1,13,2,9,1,8,1,13,4,7,1,30,1,7,1,13,2,6,1,13,4,6,1,13,2,6,1,13,4,9,1,8,1,9,1,13,3,9,2,13,2,7,1,13,1,8,1,13,2,11,1,13,1,30,1,28,2,6,3,28,8,16,1,9,1,11,1,17,1,9,1,24,1,8,1,13,2,30,1,29,1,6,1,29,1,30,4,7,1,29,1,7,1,8,1,13,2,8,1,9,1,13,1,10,1,9,1,30,1,28,7,6,1,9,1,12,1,8,2,30,1,28,26,30,1,28,6,30,1,12,1,16,1,10,1,11,1,7,1,6,1,8,1,17,2,13,1,6,1,30,1,28,1,30,1,28,1,6,1,29,1,8,1,9,1,24,1,8,2,7,1,28,3,30,1,29,1,8,2,7,1,29,1,28,2,30,1,6,1,13,1,9,1,12,1,9,1,17,1,12,1,17,2,24,1,8,1,13,1,7,1,13,1,8,1,10,1,12,1,6,1,28,2,29,1,6,1,17,1,24,1,28,49,29,1,9,1,8,1,28,5,}, {30,1,6,1,28,3,29,1,28,3,30,1,28,1,29,3,7,1,28,1,29,1,30,1,6,1,29,1,30,1,13,2,7,1,6,2,28,1,30,2,28,6,30,1,29,1,28,2,6,1,28,1,6,1,9,1,17,2,16,1,13,1,8,1,24,1,6,1,30,1,28,8,6,1,7,1,9,1,29,1,28,6,13,1,6,1,7,1,6,1,28,12,10,1,12,1,24,1,28,44,30,1,7,1,13,1,8,1,6,1,10,1,15,1,10,1,9,1,8,1,28,1,13,1,30,1,8,1,24,1,6,2,7,1,6,1,13,1,8,1,9,1,24,1,15,1,7,1,29,1,28,7,29,1,7,1,8,2,28,1,30,1,28,3,30,1,13,1,9,1,24,2,7,1,13,1,7,1,6,1,7,1,8,4,9,1,17,2,8,1,7,1,6,1,13,1,29,2,28,33,30,1,28,4,6,1,8,1,15,1,8,2,28,5,30,1,10,1,24,3,6,1,13,1,30,1,28,1,29,1,6,3,30,1,28,1,29,1,28,3,30,2,28,1,6,1,29,1,13,1,6,1,8,1,13,1,8,1,9,1,10,1,14,1,30,1,28,33,13,1,11,1,9,2,11,1,9,1,10,3,17,1,9,1,11,1,10,1,11,1,8,1,9,1,16,1,9,2,10,1,16,1,9,1,17,1,11,1,9,1,11,1,12,1,10,1,9,1,16,1,11,1,9,1,11,3,9,1,11,1,9,1,11,2,16,1,10,1,9,2,16,1,10,1,9,1,11,2,16,1,9,1,17,1,11,1,9,3,8,1,13,3,9,1,11,1,10,1,9,1,8,1,9,1,8,1,6,1,13,1,6,1,13,2,29,1,7,1,30,1,6,1,9,1,6,1,13,2,6,1,30,1,7,1,30,1,28,1,6,1,30,1,6,1,30,2,29,1,6,1,28,1,6,1,28,1,30,1,29,2,6,1,7,1,30,2,29,1,6,1,28,1,6,1,13,1,6,1,13,1,6,2,29,1,28,1,29,1,6,2,28,2,29,1,30,2,29,1,6,1,30,3,28,3,30,1,13,1,6,2,13,1,6,1,7,1,8,1,11,1,8,1,9,1,13,1,28,2,6,1,28,2,30,1,7,1,28,1,30,1,6,1,30,1,28,6,29,1,6,1,29,1,28,1,30,2,6,1,29,1,30,1,28,2,29,1,7,1,6,2,30,1,29,1,30,2,6,4,8,1,11,1,10,1,11,3,9,1,16,1,11,4,16,1,10,1,17,1,11,2,16,2,11,1,16,1,11,3,10,1,9,1,10,1,9,2,16,1,9,1,11,1,9,1,11,1,9,2,16,1,13,1,11,1,10,1,9,1,11,1,9,1,11,2,9,2,11,1,9,1,16,1,8,1,11,1,9,4,13,1,11,1,9,1,11,4,10,1,9,2,11,1,9,1,11,1,10,1,9,6,11,1,9,1,11,1,9,1,8,1,9,3,8,1,13,3,7,1,9,1,6,3,13,1,30,1,29,1,28,3,30,1,28,16,30,1,29,1,13,1,7,1,13,2,6,1,13,1,17,1,9,1,17,1,9,1,8,1,6,2,28,2,30,1,28,3,30,1,6,1,7,2,13,1,6,1,13,1,6,2,7,1,6,2,28,1,6,1,29,1,30,1,6,1,28,1,6,1,30,1,6,1,30,1,28,4,30,1,28,15,30,1,28,7,6,1,9,1,7,1,13,1,6,2,28,1,30,1,28,2,29,1,13,1,8,1,7,1,13,1,6,1,13,1,6,1,29,1,6,1,28,1,7,1,30,1,13,1,29,1,13,1,28,1,30,1,28,1,7,1,29,1,30,1,7,1,6,2,8,1,13,1,10,1,6,1,28,88,30,1,28,112,10,1,17,13,16,1,17,10,12,2,24,1,9,1,17,2,12,2,11,1,9,1,16,2,9,1,8,1,9,3,11,2,9,1,13,1,9,1,10,1,9,4,16,1,9,2,16,1,11,1,9,1,11,2,9,1,11,2,9,1,16,1,9,1,16,1,8,1,9,1,17,1,16,1,17,1,16,1,9,1,6,1,13,2,30,1,6,2,13,1,7,1,6,1,13,1,11,1,8,1,30,1,13,2,6,1,30,1,6,3,13,1,6,1,30,5,6,2,30,1,6,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,28,1,30,2,28,1,30,2,29,1,6,5,30,2,6,6,30,1,6,1,7,1,6,1,29,1,30,1,6,1,13,1,7,1,13,2,6,3,30,1,13,1,30,1,13,1,6,2,29,1,30,1,6,3,30,1,7,1,6,3,13,1,6,4,29,1,6,1,29,1,6,1,7,1,6,3,30,1,6,1,30,1,6,4,29,1,30,1,28,1,30,1,28,2,30,4,28,1,11,1,8,1,30,1,29,1,30,3,28,2,30,2,29,1,30,2,28,1,30,2,6,1,30,2,28,4,30,3,6,1,28,1,30,5,29,2,28,1,30,4,6,1,28,1,30,2,28,1,30,4,6,1,30,3,6,1,30,1,28,1,30,3,29,1,30,10,28,1,29,1,30,2,28,1,30,2,13,1,6,2,30,1,6,3,28,1,30,1,6,1,30,5,13,2,6,1,30,2,6,2,28,1,6,1,30,3,6,1,30,1,6,2,29,1,30,1,28,1,30,2,6,1,30,3,13,1,30,1,6,1,30,6,6,1,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,29,1,30,1,6,1,30,1,6,9,29,1,30,2,29,1,30,1,29,1,28,1,29,1,30,2,28,1,30,4,28,1,30,4,6,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,4,6,2,30,1,28,1,6,1,30,1,6,1,30,2,6,2,28,1,6,1,30,3,6,1,30,2,6,3,30,1,6,3,7,1,6,2,30,1,6,1,28,1,30,1,6,1,30,5,6,1,30,1,6,1,28,1,30,2,6,1,30,3,29,1,6,3,30,1,6,1,13,2,28,1,6,1,13,1,9,1,13,2,28,1,30,1,6,2,30,1,13,1,30,1,6,3,29,2,6,3,30,1,6,3,28,1,6,1,30,1,6,3,28,3,30,4,28,1,6,1,30,4,28,2,6,1,28,1,30,1,29,1,30,2,6,1,29,1,30,4,28,1,6,2,29,1,30,2,29,1,30,7,6,1,28,1,30,3,28,3,30,1,28,4,30,1,28,3,30,2,6,2,30,1,28,2,13,2,6,1,24,1,9,1,24,2,8,1,12,1,11,1,17,1,12,1,9,3,24,1,7,1,24,1,17,1,12,1,8,2,24,1,9,4,11,2,12,2,9,1,10,2,9,1,8,1,24,1,12,1,24,1,9,1,8,1,12,1,9,1,8,1,24,1,28,1,29,1,8,1,24,1,13,1,24,4,9,1,10,2,12,1,17,6,9,1,12,1,9,1,10,1,24,1,8,2,24,2,8,1,10,1,7,1,28,18,6,1,25,1,8,2,25,1,24,3,10,1,12,2,24,1,17,1,24,1,17,1,29,1,30,1,7,1,13,1,8,2,17,1,7,1,30,1,17,3,12,1,13,1,7,1,6,1,29,1,13,1,10,1,12,2,30,1,29,1,30,3,28,2,30,2,28,1,29,2,30,1,28,3,30,1,28,1,29,1,28,1,30,1,28,1,6,1,30,2,7,2,8,1,7,1,24,1,8,1,13,1,24,1,7,1,10,1,12,1,10,1,9,1,12,1,17,1,12,1,17,3,12,1,17,1,12,1,17,9,12,2,17,11,12,2,17,7,12,1,17,2,9,1,13,1,28,3,30,1,6,1,28,1,6,3,30,6,28,3,30,4,28,2,30,1,28,1,30,2,28,1,30,3,28,2,30,1,28,1,30,2,28,2,30,1,28,4,6,1,30,1,6,1,30,1,28,4,30,5,28,1,30,1,28,7,30,1,28,5,30,1,28,1,6,1,13,2,17,1,24,1,9,1,24,1,8,1,7,1,24,1,6,1,25,2,26,1,8,1,24,1,6,1,24,1,25,2,27,1,25,1,26,1,29,1,27,3,26,2,29,2,30,2,6,1,8,1,29,1,13,1,6,1,30,1,6,1,7,2,6,1,7,1,8,1,13,1,8,1,7,1,6,1,13,1,7,1,24,1,6,1,7,1,30,1,6,2,7,1,6,1,25,2,6,1,8,1,6,1,8,2,25,1,6,1,24,1,13,1,24,1,8,1,24,1,8,1,7,1,24,1,8,2,12,1,24,1,7,1,25,1,10,2,7,1,24,1,13,1,6,1,8,2,24,1,8,1,24,2,25,1,8,1,24,2,26,1,24,1,25,1,24,1,27,1,12,1,25,1,8,1,24,2,25,1,24,1,8,1,10,1,13,1,7,1,24,3,10,1,12,1,8,1,17,1,24,2,9,1,17,1,10,2,17,4,12,1,17,4,12,1,10,1,11,1,12,1,11,1,9,1,12,1,9,1,28,13,6,1,7,1,13,1,6,1,30,1,13,2,7,1,8,1,13,2,29,1,13,4,7,1,13,2,6,2,7,1,13,1,24,1,13,1,7,1,13,1,7,1,6,2,30,2,29,1,13,2,9,1,13,6,8,1,6,1,10,1,13,1,8,1,13,4,10,1,13,2,7,1,9,1,13,3,11,1,17,3,11,2,10,1,11,2,12,1,17,1,11,2,17,1,11,1,9,1,11,1,9,1,11,1,13,1,16,1,13,1,9,2,13,1,9,2,8,1,13,3,30,4,6,1,28,3,6,1,28,1,30,2,28,1,6,2,28,1,13,1,11,2,17,1,16,1,11,1,8,2,7,1,30,1,6,1,29,1,30,1,28,28,6,1,9,1,13,1,9,1,13,4,9,1,13,1,6,2,13,2,7,1,13,1,6,1,13,3,9,4,8,1,13,2,6,1,8,1,30,1,8,1,13,3,8,1,9,1,13,1,9,2,11,1,9,1,8,1,13,1,9,1,30,1,13,2,6,1,13,2,8,1,13,1,8,1,13,3,9,2,17,1,9,1,8,1,9,2,10,1,9,1,10,1,13,6,8,1,13,3,8,2,9,4,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,3,6,1,13,3,9,1,13,1,9,1,13,1,8,1,9,3,13,1,6,1,30,1,6,2,8,1,6,1,9,1,30,1,13,1,6,1,8,1,6,1,13,5,6,1,7,1,9,1,8,1,13,1,9,1,13,2,8,1,13,4,9,1,8,1,9,1,13,1,28,3,6,1,30,1,6,1,28,8,16,1,17,1,8,1,9,1,17,1,11,1,24,2,6,1,30,1,6,2,28,2,30,1,28,1,30,1,29,1,6,1,8,1,6,2,13,1,8,1,10,1,8,2,13,1,7,1,28,7,7,1,9,1,8,2,10,1,6,1,28,34,9,1,17,1,9,1,13,1,6,2,13,1,15,1,9,2,6,1,28,1,30,2,28,1,29,1,6,1,8,1,7,1,14,1,15,1,9,1,6,1,29,1,28,1,30,1,28,1,29,1,7,1,8,2,6,1,28,1,29,1,6,2,13,3,10,1,11,1,12,1,17,1,11,1,24,1,13,1,7,1,6,1,9,1,13,1,12,1,9,1,6,1,28,2,30,1,13,1,10,1,7,1,6,1,28,25,30,1,28,22,24,1,9,1,13,1,30,1,28,4,}, {30,1,6,1,30,1,6,2,30,1,28,1,30,1,28,3,30,3,28,2,30,3,6,2,13,1,8,1,6,1,8,1,30,1,28,1,29,1,28,9,30,1,28,2,30,1,6,1,13,1,12,1,11,1,9,1,8,1,9,2,13,1,28,10,13,1,15,1,6,1,28,6,30,1,13,1,7,1,30,1,13,1,29,1,28,10,13,1,15,1,6,2,28,41,30,3,7,1,6,1,13,1,8,1,24,1,11,1,14,1,13,1,7,1,6,2,30,1,7,2,6,2,7,1,6,1,7,1,13,1,24,1,15,1,8,2,30,1,28,7,6,1,13,2,8,1,28,6,13,1,9,1,10,1,8,1,13,1,6,1,29,1,13,1,24,1,8,5,17,2,13,1,6,1,29,1,30,1,13,2,29,1,28,35,30,1,29,1,8,1,29,1,9,1,12,1,8,1,28,5,7,1,17,1,9,1,24,1,8,2,24,1,30,2,28,1,6,2,28,1,30,1,28,1,29,1,28,2,30,1,28,1,30,1,6,3,8,1,13,1,8,1,24,1,8,1,24,1,15,1,14,1,28,34,6,1,9,1,10,1,9,4,11,3,10,1,11,1,10,1,9,3,11,1,9,1,11,1,9,1,8,1,9,1,16,1,10,1,11,1,9,1,11,2,9,2,11,1,10,1,11,1,9,1,12,1,10,2,9,1,11,1,9,2,10,1,9,4,13,1,9,1,13,1,8,1,9,2,8,1,11,1,13,1,9,1,13,1,8,1,13,1,6,1,9,1,13,1,8,1,30,1,13,1,6,1,7,1,30,1,13,1,6,1,7,1,13,1,30,2,8,1,13,5,6,1,30,1,6,1,30,1,29,1,13,1,29,1,6,1,13,1,6,2,13,1,6,1,13,2,6,1,28,1,7,1,6,2,30,1,29,1,30,1,6,3,30,1,7,1,30,1,29,1,6,1,30,1,6,1,28,3,29,1,30,2,28,1,6,1,29,1,28,1,30,1,28,1,30,2,28,1,6,1,7,2,8,1,13,1,6,1,13,2,8,1,9,1,12,1,8,1,13,1,30,1,28,1,29,1,28,1,6,1,30,2,28,1,6,1,28,2,6,1,28,1,30,1,28,1,29,1,28,1,6,1,28,1,6,1,30,1,29,1,28,1,30,1,7,1,28,1,6,1,29,1,6,3,7,1,29,1,6,1,28,1,6,1,28,2,30,1,13,1,8,2,16,1,11,1,9,1,11,1,16,5,11,2,16,2,9,1,16,1,11,1,16,1,11,2,16,1,11,2,9,2,11,1,8,1,16,1,8,1,11,1,9,4,11,1,8,2,9,1,10,2,11,1,10,1,9,3,11,1,9,1,13,1,9,11,11,1,9,1,10,1,11,1,10,1,11,2,9,3,8,1,9,2,10,1,9,3,10,1,9,7,13,1,9,1,7,1,13,2,7,1,13,1,6,1,8,1,6,1,28,1,30,1,28,3,30,1,28,15,30,1,24,1,7,1,8,1,13,2,16,4,17,2,16,1,11,1,30,2,29,1,28,5,29,1,6,1,30,1,6,1,30,1,13,1,6,1,7,1,6,2,30,1,13,1,30,1,28,1,30,2,6,1,30,1,28,4,6,1,30,1,28,2,30,2,28,21,8,3,13,1,8,1,13,1,28,2,6,1,30,1,29,1,6,1,13,1,6,4,7,1,6,1,29,1,6,1,13,1,28,1,7,1,6,1,30,3,6,4,28,1,24,1,7,2,6,1,8,2,10,1,13,1,30,1,28,84,13,1,30,1,28,9,30,1,28,101,30,1,11,1,16,1,17,12,9,1,16,1,17,12,24,1,17,1,11,1,17,1,10,1,9,1,12,1,10,3,13,1,8,1,11,1,9,1,16,1,9,1,16,1,9,2,13,1,11,1,9,1,16,1,11,1,9,1,11,2,9,1,16,1,11,4,9,2,16,1,11,1,10,1,16,1,11,2,17,1,16,1,17,2,13,1,6,1,13,1,30,1,6,2,13,1,6,2,13,1,9,1,10,1,6,1,13,2,6,1,30,1,29,1,30,2,6,2,30,2,29,1,28,1,30,1,28,2,30,1,29,2,30,3,28,1,30,3,28,1,30,1,6,1,30,1,6,1,29,2,6,1,30,1,29,2,7,1,6,1,30,1,6,1,29,2,6,3,29,1,6,1,30,2,13,1,30,1,6,1,7,1,6,1,13,1,6,1,13,2,6,1,7,1,6,3,7,1,30,2,6,1,30,1,13,1,6,3,13,1,6,1,13,1,30,1,6,1,13,1,6,1,30,1,7,1,6,5,30,1,6,1,29,1,30,3,6,1,30,1,6,2,30,1,28,1,30,7,29,1,13,1,16,1,29,1,6,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,29,1,30,1,6,2,28,1,30,3,6,2,30,1,28,1,30,2,28,1,6,1,29,1,30,3,7,1,28,2,30,1,6,1,7,1,30,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,2,29,1,28,1,30,4,28,1,6,1,30,9,6,1,30,1,6,1,30,5,7,1,6,1,30,1,6,1,30,5,29,1,28,1,29,1,13,2,9,1,6,1,30,1,6,1,28,1,7,1,30,1,6,2,30,1,6,1,29,1,30,1,6,1,30,1,6,2,30,3,6,1,30,2,28,1,29,2,6,2,28,1,6,2,28,1,30,2,6,1,30,3,7,1,28,3,29,1,28,2,30,2,28,1,30,1,29,1,28,7,30,7,13,1,30,2,29,1,6,1,13,1,30,3,13,1,30,4,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,30,1,6,1,28,1,30,4,28,1,30,6,28,1,30,2,6,1,30,4,28,1,6,2,30,1,6,1,28,1,6,1,30,3,28,1,30,5,7,1,28,1,7,1,30,1,6,1,7,2,6,1,30,1,28,1,13,1,6,1,30,1,28,1,7,1,6,2,30,1,13,1,29,1,28,1,7,1,6,1,13,1,30,1,13,1,6,3,13,1,7,1,13,1,6,1,30,2,13,1,30,1,13,1,8,2,13,1,30,1,28,2,30,1,29,1,6,1,30,1,6,2,13,1,7,1,6,1,30,1,6,1,30,3,6,3,30,2,29,1,6,1,28,1,30,3,28,6,6,1,30,2,28,2,30,3,28,1,30,1,28,1,29,1,6,1,28,1,30,1,6,1,30,1,7,1,30,1,6,2,30,1,29,1,6,1,30,1,6,1,30,4,28,4,30,3,28,1,30,1,28,4,30,1,28,1,30,3,28,3,30,2,6,2,13,2,6,1,7,1,13,1,17,1,8,1,9,1,8,2,9,1,10,1,12,2,17,1,8,1,10,1,24,1,13,2,12,2,17,1,8,1,9,2,10,2,9,2,10,1,17,3,11,2,9,1,24,1,8,1,10,1,24,1,12,1,10,1,8,1,24,2,9,1,13,2,6,1,13,1,8,1,24,1,9,1,10,1,8,1,17,1,9,1,17,1,12,1,17,3,12,1,17,2,12,1,17,1,10,1,24,1,10,1,12,1,24,1,12,2,8,1,10,1,24,1,30,1,28,17,29,3,25,2,8,1,24,4,10,1,12,1,8,1,10,1,24,1,28,1,30,1,6,1,13,1,7,1,6,1,17,1,12,1,28,2,10,1,24,1,12,1,17,1,24,3,13,1,24,1,12,1,13,1,28,1,30,1,6,1,28,1,29,1,28,4,30,2,29,1,28,1,29,1,28,1,29,1,28,3,6,1,28,1,29,1,6,1,7,1,6,1,13,1,7,1,8,1,24,1,8,1,12,1,8,1,24,3,10,1,17,1,12,1,17,4,9,1,17,3,12,1,17,11,12,1,10,1,17,1,12,1,17,7,12,2,17,5,12,1,17,3,9,1,28,3,30,2,6,2,30,2,6,4,30,2,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,3,6,1,28,2,30,1,28,4,30,1,28,5,30,1,28,1,30,1,29,2,30,2,28,2,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,3,28,2,30,2,13,1,16,1,9,3,8,1,13,1,8,2,7,1,25,1,8,1,25,1,8,1,29,1,25,1,6,1,27,1,26,2,27,1,28,1,27,1,30,1,26,1,27,2,26,1,27,1,26,1,29,1,25,1,28,1,7,1,30,1,7,1,28,1,30,1,6,1,13,1,6,2,29,1,7,1,6,3,30,1,6,1,29,1,30,1,29,1,7,1,6,1,8,2,6,1,24,1,8,1,6,2,25,1,7,1,8,1,7,2,25,1,24,1,13,1,7,1,24,1,13,1,24,1,8,1,24,1,8,1,7,1,8,2,13,1,8,2,25,1,24,1,8,1,6,1,13,1,6,1,8,1,24,3,25,1,8,2,25,1,24,1,25,2,24,1,25,1,10,1,24,2,25,4,8,1,25,1,13,1,8,2,24,1,8,1,24,3,8,1,12,1,24,1,12,1,17,1,9,1,12,3,17,1,10,1,17,2,12,1,10,1,17,5,12,2,10,1,17,1,10,1,8,1,28,13,6,2,7,1,6,1,13,1,8,1,13,2,7,1,13,2,6,1,7,2,13,1,7,3,6,1,13,2,8,1,6,1,13,1,7,1,13,1,6,1,7,2,6,1,29,1,7,1,13,1,9,1,8,1,7,1,13,3,8,1,13,1,8,1,6,1,13,1,7,1,9,1,7,1,6,1,13,1,8,1,13,2,8,2,13,1,6,1,13,1,24,1,12,1,17,2,10,1,11,3,12,1,10,1,11,2,12,1,10,1,17,1,10,1,9,1,16,1,13,1,11,3,8,1,9,2,6,1,9,1,6,1,9,1,13,1,6,1,30,1,6,1,28,1,6,1,30,1,28,6,6,1,30,1,6,2,28,1,6,1,13,2,9,2,17,1,11,1,9,1,13,1,6,1,30,1,7,1,6,1,28,29,6,1,9,2,13,2,9,1,13,2,8,1,13,6,6,1,30,1,13,2,7,1,8,1,13,1,9,2,8,1,9,1,8,1,9,1,11,1,13,2,9,2,13,6,9,2,13,2,9,1,13,2,30,1,13,2,7,1,8,1,13,1,9,1,13,2,6,1,9,1,8,1,11,4,13,1,16,1,9,5,13,1,8,1,13,3,8,1,13,1,9,2,16,1,9,2,8,1,13,1,9,1,13,1,7,1,13,1,8,1,7,1,13,1,9,1,13,2,7,1,6,1,13,2,6,1,13,5,6,2,13,3,6,1,13,1,6,1,11,1,6,2,13,1,7,1,13,2,7,1,13,1,30,1,13,7,9,1,6,1,9,1,13,1,9,1,13,1,9,1,6,1,10,1,9,2,13,1,28,3,7,1,6,2,28,7,6,1,17,2,8,1,17,1,10,1,8,2,7,1,13,2,30,1,29,1,6,1,28,1,30,2,6,1,29,1,28,1,7,1,29,1,13,2,24,1,9,1,8,1,24,1,8,1,6,1,28,7,6,1,24,1,10,1,8,1,13,1,28,24,30,1,28,10,13,1,16,2,8,1,6,1,29,1,8,2,10,1,9,1,7,1,28,1,29,1,28,1,6,2,28,1,8,2,12,1,8,2,7,1,30,1,28,1,29,1,30,1,28,1,29,1,9,1,13,1,30,1,28,2,6,1,29,1,7,1,8,2,9,1,16,1,10,1,9,1,10,1,24,1,9,1,8,1,7,1,13,1,8,1,12,2,30,1,28,1,29,1,30,1,24,1,9,1,8,1,29,1,28,27,30,1,28,20,8,3,28,5,}, {13,1,8,1,13,2,6,1,28,1,6,1,28,3,6,2,28,1,7,1,13,2,6,1,28,1,7,1,6,2,29,1,8,2,6,1,7,2,30,1,28,2,30,1,28,9,30,2,6,1,9,1,10,1,13,1,8,3,6,1,28,9,29,1,13,1,9,1,30,1,28,6,6,1,13,1,6,1,30,1,29,1,30,1,28,1,30,1,28,8,12,2,8,1,30,1,28,43,6,1,24,1,30,1,7,1,24,1,13,1,14,1,15,1,8,2,30,1,7,1,28,1,8,1,12,1,24,1,30,1,13,1,29,1,13,1,8,1,24,2,9,1,6,2,28,5,30,1,28,2,13,1,8,2,28,7,17,1,8,2,7,2,6,1,13,3,8,1,6,1,24,1,8,1,17,2,9,1,8,1,29,1,6,3,7,1,28,36,30,1,6,1,13,1,15,2,8,1,30,1,28,4,29,1,12,1,10,1,8,1,12,1,24,2,6,1,8,1,28,1,29,1,28,6,29,1,30,1,28,1,29,1,28,1,30,1,6,1,30,1,7,1,8,1,13,2,24,1,10,1,14,1,28,34,6,1,9,3,10,2,9,1,16,1,9,2,12,1,10,1,9,2,11,2,10,1,9,2,16,1,10,1,9,3,11,1,9,1,17,1,9,1,11,1,16,1,13,1,16,1,10,1,16,1,12,1,10,1,13,1,9,3,13,5,8,1,29,1,13,2,6,1,8,1,13,1,9,1,13,1,8,1,13,2,6,1,30,1,13,1,6,3,30,2,6,1,7,1,30,1,13,1,29,1,8,1,13,3,6,1,28,1,6,1,13,1,8,1,13,1,29,1,7,1,6,1,29,1,6,1,29,1,6,1,7,1,6,1,30,1,29,1,13,1,30,1,29,1,28,1,30,1,6,1,7,1,29,1,7,1,6,1,30,1,6,1,28,1,30,1,6,1,28,1,30,4,6,2,30,1,6,1,30,5,28,1,30,1,28,1,6,1,28,3,30,2,6,3,30,1,13,2,7,1,8,1,9,1,6,1,9,1,30,1,6,1,28,1,6,1,30,1,6,2,28,2,6,2,28,2,6,1,28,2,29,1,28,1,30,1,29,1,28,1,30,1,28,1,30,1,29,1,30,2,6,1,28,1,6,1,7,1,6,1,30,1,6,2,29,1,6,1,28,1,29,1,6,1,7,2,9,1,11,3,16,1,11,1,10,1,16,1,11,2,16,1,11,1,16,2,11,1,16,1,11,2,16,1,9,1,16,2,11,1,9,4,11,1,9,1,11,2,9,4,10,1,11,1,9,1,11,1,9,2,8,1,10,1,9,2,10,2,9,2,11,1,13,1,9,2,11,1,9,4,10,1,11,2,9,1,11,2,8,1,9,5,8,1,9,2,13,1,9,4,8,1,9,1,10,1,9,1,8,1,9,1,13,2,7,1,9,1,13,1,7,1,13,3,6,1,29,1,28,1,30,1,28,18,7,1,8,1,10,1,11,1,17,1,16,1,17,7,11,1,17,1,11,1,13,1,7,2,30,1,28,2,30,1,29,2,13,1,7,1,6,1,13,1,30,1,29,1,30,1,6,1,30,1,6,1,28,1,29,1,28,1,30,1,28,3,30,1,28,28,6,1,24,1,6,1,13,1,8,1,6,1,28,2,6,2,13,1,30,1,13,1,6,1,30,1,8,2,29,1,30,1,7,1,29,1,6,1,29,1,6,1,28,2,30,1,28,2,29,1,30,1,6,1,28,1,6,2,13,3,8,1,13,2,6,1,29,1,30,1,28,81,6,2,28,10,29,1,28,101,30,1,11,1,17,7,16,1,17,5,16,1,17,1,9,1,17,11,12,1,17,1,12,1,10,1,8,1,10,1,16,1,8,1,11,1,9,1,13,2,9,1,11,1,16,1,11,2,8,1,9,1,8,1,13,1,9,1,11,2,9,1,16,1,11,2,16,2,9,1,11,1,9,2,11,1,9,1,11,1,16,1,10,2,16,4,9,1,6,1,28,1,13,1,9,1,13,1,30,1,7,1,6,2,9,3,13,1,30,1,6,1,29,1,6,1,30,2,6,1,28,1,6,2,30,3,28,1,30,1,6,1,30,1,28,1,29,1,30,1,28,1,30,3,6,1,30,2,28,1,30,3,29,1,30,1,29,2,30,2,6,1,30,1,6,3,30,2,6,1,30,1,6,2,13,1,6,1,13,1,6,3,7,1,6,1,13,2,6,2,29,1,13,1,29,1,6,2,30,1,29,2,13,1,28,1,6,1,30,1,13,1,29,1,6,2,30,1,6,4,30,1,6,1,30,1,6,1,30,4,6,1,13,1,30,3,6,1,30,2,7,1,6,2,28,1,6,1,30,1,28,1,6,2,30,1,9,1,13,1,6,2,30,1,6,1,29,1,30,1,29,1,28,2,6,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,29,1,30,3,6,1,30,4,6,3,30,3,6,1,30,2,28,1,6,1,30,12,29,1,30,2,28,2,30,9,29,1,30,6,28,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,3,6,1,30,2,6,3,30,1,28,1,13,1,6,1,30,3,6,4,13,1,6,1,29,1,6,4,28,1,6,3,30,2,29,1,28,1,30,3,6,1,30,1,28,1,30,2,6,1,28,1,29,1,6,1,28,1,30,1,28,1,30,1,28,6,30,1,28,2,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,3,6,2,13,1,29,1,30,3,6,2,29,1,6,1,29,1,30,2,28,2,6,1,28,1,29,1,7,1,13,1,30,1,6,1,30,5,29,1,30,3,28,2,30,1,28,1,30,4,6,1,30,2,29,1,30,3,6,1,28,1,30,7,6,1,30,6,6,2,30,4,6,1,13,1,6,1,30,2,13,1,30,1,6,1,30,2,6,1,13,1,6,3,7,1,30,1,13,1,30,5,7,1,30,1,6,2,29,1,13,1,7,1,13,4,30,2,28,1,30,1,6,1,30,2,6,1,30,1,6,1,30,1,13,1,6,5,30,1,6,2,30,2,29,1,6,3,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,1,30,1,28,1,30,7,28,1,6,1,30,3,28,1,30,1,6,1,30,1,29,1,6,1,30,2,28,1,30,2,28,4,30,1,28,1,30,5,28,2,30,1,28,1,30,1,28,6,30,1,6,1,13,1,8,1,6,2,13,1,30,1,8,1,24,3,9,1,10,2,11,2,12,1,17,1,12,1,10,1,12,1,13,1,6,1,9,1,17,1,12,1,10,1,12,1,9,2,12,1,9,2,11,1,17,2,16,1,17,1,9,2,10,1,8,3,10,1,12,1,9,1,8,1,24,2,10,1,13,1,8,3,24,1,8,1,9,1,10,1,24,1,10,1,17,1,12,1,17,2,12,2,17,1,10,1,17,1,12,1,8,1,10,2,24,1,12,1,10,1,24,1,10,1,8,1,24,1,8,1,28,20,6,3,8,3,24,5,29,1,28,1,29,1,7,1,13,1,6,1,8,1,10,1,17,1,28,2,6,1,28,2,13,1,9,1,12,1,17,1,12,3,29,1,30,2,29,1,6,1,30,1,29,2,30,1,28,1,30,5,28,1,29,1,28,1,30,1,6,1,30,2,6,1,13,1,7,1,13,4,8,1,13,1,24,1,9,1,10,1,24,1,10,1,12,1,10,1,12,2,17,1,12,1,17,10,10,1,12,1,17,1,12,4,17,1,11,1,17,1,11,1,17,10,11,1,17,4,12,1,11,1,8,1,6,2,30,6,6,1,30,3,6,1,30,3,6,1,28,1,30,2,6,1,30,3,28,1,30,3,28,1,30,2,28,1,30,2,28,3,30,1,28,2,30,3,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,2,29,1,28,1,30,2,6,1,28,5,30,1,29,1,30,2,28,2,30,2,28,3,30,1,28,1,30,1,13,1,11,1,9,1,8,1,9,1,24,1,8,2,13,1,24,1,7,1,8,1,6,1,25,1,7,1,29,1,8,1,28,1,26,2,25,1,27,1,26,1,29,1,27,1,29,1,27,1,25,1,27,2,6,1,25,1,30,1,6,1,7,1,6,1,7,1,29,1,28,1,6,2,13,2,8,1,29,1,13,1,6,1,30,1,6,1,8,1,30,1,7,1,30,1,7,1,6,2,8,1,30,1,6,2,25,2,8,1,6,1,25,1,6,1,7,2,8,1,13,1,7,1,24,2,8,2,24,1,8,1,7,1,24,1,10,1,8,1,25,1,10,1,24,1,8,2,7,2,24,1,8,1,24,1,8,1,24,1,8,1,25,1,26,1,8,2,25,1,8,1,25,1,24,2,26,1,25,2,24,1,8,1,25,1,8,1,24,1,8,1,6,1,8,1,24,5,10,2,8,1,9,1,8,1,12,1,17,1,12,2,17,1,12,1,17,3,12,1,17,1,12,1,17,2,12,3,10,1,17,1,11,1,13,1,28,12,30,2,29,1,7,2,13,2,7,2,28,1,30,1,13,1,7,1,13,1,6,1,7,1,6,1,13,1,7,1,6,1,7,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,9,1,13,1,8,1,13,3,8,1,29,1,13,1,8,1,9,1,8,1,9,1,13,1,7,1,13,2,6,1,13,3,9,1,6,1,13,1,8,1,9,1,17,1,11,1,12,1,10,1,11,1,12,1,9,1,12,1,11,1,9,1,12,1,11,1,17,1,11,1,9,1,11,1,9,5,8,1,9,1,13,3,8,1,28,1,29,1,6,2,28,1,30,1,28,1,6,1,28,1,30,1,28,1,29,1,6,1,28,1,6,2,28,1,30,1,13,1,8,1,9,1,17,1,10,1,11,1,9,1,13,1,9,1,13,1,28,1,6,3,30,2,28,26,30,1,13,1,9,1,8,2,13,2,30,1,13,2,6,1,13,2,30,1,13,1,7,1,13,2,6,1,13,1,8,1,9,1,13,1,7,1,13,1,9,1,13,2,9,1,6,1,9,1,13,1,9,2,13,2,9,2,13,1,9,2,13,1,8,1,6,1,13,4,7,1,13,1,8,1,13,5,9,3,11,1,9,1,10,1,9,1,17,1,13,1,9,1,8,1,13,1,9,1,8,1,9,3,8,1,16,1,11,1,17,1,9,2,10,1,9,1,13,1,9,1,13,2,8,1,13,2,9,1,13,1,6,1,9,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,8,1,13,4,6,1,13,1,6,2,8,1,9,1,13,1,6,1,13,1,28,1,13,1,6,1,13,5,7,1,13,1,8,1,13,1,8,2,13,2,7,1,9,2,13,2,8,1,9,1,8,1,11,1,7,1,28,3,6,1,7,1,28,3,30,1,28,4,6,1,16,1,17,3,10,1,8,2,6,1,7,1,13,1,6,1,30,2,7,1,28,1,29,1,30,1,13,1,7,1,29,1,13,1,8,2,10,1,12,1,9,2,24,1,29,1,28,7,7,1,24,1,12,1,9,1,8,1,29,1,28,34,9,1,14,1,8,2,30,1,13,1,7,1,12,2,8,1,30,2,29,1,6,1,30,1,7,1,30,1,8,2,24,2,8,1,6,1,28,4,30,1,13,1,12,1,6,1,28,1,30,1,28,1,29,1,13,2,24,1,8,1,9,1,17,1,12,1,9,1,8,1,24,1,7,1,6,1,13,1,29,1,8,1,17,1,9,1,6,1,28,3,8,1,12,1,24,1,29,1,28,25,30,1,28,22,6,1,24,1,13,1,29,1,28,4,}, {11,1,16,1,11,1,9,1,16,1,12,1,11,1,17,2,16,1,9,2,17,1,9,1,17,2,11,1,9,1,8,1,9,1,8,1,13,1,9,1,8,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,29,1,30,1,28,8,29,1,30,1,13,1,8,1,9,2,10,1,13,1,29,1,28,9,13,1,24,1,6,1,28,6,29,1,13,1,6,2,13,1,28,1,29,1,28,8,30,1,8,1,10,1,13,1,28,44,29,1,6,2,13,2,8,1,12,1,14,1,8,1,30,1,29,1,13,1,30,1,13,1,15,1,8,1,6,1,13,2,29,1,8,2,10,1,14,1,6,2,28,6,29,1,30,1,13,1,8,2,30,1,28,5,13,1,14,1,9,1,24,1,6,1,7,1,8,1,13,1,24,1,13,1,6,1,8,1,13,1,8,1,17,1,14,1,13,1,6,5,13,1,28,33,30,2,28,1,7,1,28,1,24,2,15,1,8,1,30,1,28,4,30,1,14,1,12,1,15,1,8,1,15,1,13,1,7,2,30,2,28,1,6,1,30,1,28,2,29,2,28,1,29,3,30,1,28,1,6,1,13,1,8,1,24,1,8,2,12,1,14,1,6,1,28,33,30,1,9,7,11,1,9,2,11,1,9,1,16,1,9,2,8,1,10,1,9,1,13,1,10,1,9,1,8,1,9,4,11,1,9,2,11,1,9,1,12,1,10,1,8,1,9,1,13,1,9,1,13,1,8,1,13,1,7,1,13,4,6,1,29,1,6,1,13,1,6,2,13,2,29,1,30,1,6,1,30,1,28,1,6,3,13,2,29,1,6,1,13,1,6,3,13,1,6,1,13,4,6,1,13,2,6,5,7,1,29,1,30,3,29,1,28,2,30,2,13,1,30,2,6,1,28,1,30,1,29,3,30,1,13,1,30,1,29,1,6,4,29,1,6,1,28,2,29,1,6,1,28,1,29,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,6,1,30,1,6,1,13,1,30,1,13,1,7,2,6,1,13,1,8,1,9,1,11,1,28,2,30,1,6,1,30,1,6,1,30,1,29,1,28,1,30,1,28,2,30,2,28,1,30,3,6,1,28,1,6,1,28,1,30,3,28,1,29,1,30,1,29,1,30,2,6,1,28,1,6,1,13,2,6,1,28,2,30,1,6,1,13,1,9,3,11,2,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,5,9,1,16,1,11,1,16,2,10,2,11,1,9,1,11,1,9,4,8,1,11,1,16,1,9,3,11,1,9,1,11,1,9,3,11,1,9,1,10,1,9,5,8,1,16,1,11,1,9,3,11,1,8,1,9,1,16,1,9,1,10,1,11,1,9,3,11,1,10,1,9,3,11,1,8,1,9,4,11,1,9,2,8,4,9,1,13,1,6,1,11,1,6,1,8,1,29,1,13,1,29,1,6,1,28,20,13,1,17,1,9,1,17,2,16,1,17,3,16,1,17,2,16,1,17,3,10,1,9,2,13,1,28,3,29,1,6,1,28,1,29,1,6,1,13,1,6,1,7,1,30,1,29,1,28,1,6,1,28,1,30,1,6,2,30,2,28,2,30,1,28,27,13,1,10,1,8,1,12,1,6,2,30,1,28,1,29,1,28,1,29,1,30,1,13,1,6,1,13,1,8,1,13,2,29,1,7,1,30,1,6,1,29,1,30,1,29,1,30,2,29,1,30,1,28,1,29,1,30,1,28,1,6,1,7,1,30,1,13,1,6,1,7,1,13,1,8,1,13,1,8,1,13,1,28,81,13,1,28,113,30,1,17,4,16,3,17,7,13,1,9,1,11,1,10,1,17,12,12,1,17,1,8,1,9,4,13,2,11,1,9,2,11,2,13,1,9,1,11,1,8,1,9,2,11,1,9,1,10,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,11,3,9,1,11,1,16,1,11,1,16,1,10,1,16,3,6,2,13,1,30,1,6,1,13,1,6,1,13,1,6,1,13,2,9,1,13,1,6,2,30,2,28,1,30,3,6,2,30,4,6,1,30,4,28,1,30,4,6,1,30,1,6,1,30,4,28,1,30,1,6,1,30,3,28,1,30,1,28,1,6,1,28,1,6,2,13,1,30,1,7,1,6,1,7,1,6,1,30,1,13,1,6,1,30,1,6,1,30,1,13,1,6,1,7,1,6,3,30,1,13,1,6,2,13,1,28,1,7,1,30,1,7,1,13,1,29,1,6,1,13,1,6,7,7,1,6,1,30,1,6,2,29,1,30,2,29,1,6,1,30,1,6,3,30,1,29,1,6,2,29,1,28,1,30,1,6,1,30,2,6,2,13,1,9,1,6,3,30,2,6,1,30,3,6,1,30,3,6,2,28,1,30,3,28,1,6,1,28,3,30,4,28,1,30,2,29,1,30,2,6,1,30,1,29,1,28,2,6,1,28,1,6,3,30,1,6,1,28,1,13,1,6,2,30,1,6,1,28,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,2,29,1,30,1,29,1,28,1,30,3,6,1,28,1,6,2,30,3,6,1,30,1,28,1,6,1,30,2,6,2,30,2,6,2,30,1,28,1,6,1,7,1,30,2,6,1,30,1,28,1,6,1,30,1,6,2,30,1,6,6,28,1,30,1,6,1,30,3,29,1,30,2,28,1,6,1,30,2,28,1,30,3,28,1,6,1,28,1,30,1,6,1,30,2,28,1,30,2,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,6,7,1,28,1,6,1,30,2,6,1,28,1,30,3,6,1,30,3,6,1,30,1,28,1,6,1,28,1,30,2,28,2,6,2,13,1,30,2,6,1,30,7,29,1,6,1,28,1,29,1,30,1,28,1,30,3,29,1,30,7,6,2,30,1,6,1,30,1,6,2,30,2,6,1,30,5,6,1,30,1,6,1,30,2,6,3,30,1,6,1,30,1,29,1,30,1,29,1,30,2,6,2,30,1,6,1,7,1,6,1,29,1,30,2,6,1,30,1,13,1,6,2,30,1,6,2,28,1,6,1,13,3,8,1,13,1,6,1,28,1,30,2,29,1,6,2,30,2,6,1,30,1,13,1,6,3,30,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,4,30,1,29,1,28,1,29,1,6,1,29,1,28,1,30,6,28,1,30,3,6,4,30,1,6,1,30,2,6,1,28,1,29,1,28,2,30,3,28,1,29,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,1,30,1,29,1,13,3,6,2,28,1,7,1,9,2,13,1,9,1,8,1,9,2,11,2,12,1,10,1,9,1,12,1,13,1,8,2,9,1,17,1,12,1,17,1,24,1,10,1,9,1,11,3,16,2,12,2,16,1,12,1,10,1,12,1,13,1,24,2,9,3,13,2,8,3,13,2,10,1,24,1,10,1,13,1,10,1,24,2,12,2,24,1,12,1,24,1,12,4,24,1,17,1,10,3,12,1,24,1,10,1,13,2,24,1,30,1,28,20,29,2,25,1,8,2,26,1,8,1,24,3,28,3,6,2,30,1,6,1,8,1,17,1,28,2,13,1,28,2,11,1,10,1,24,1,12,2,24,1,6,1,29,1,30,1,29,1,30,2,28,2,30,3,29,1,30,1,6,2,28,1,30,1,29,2,7,1,6,1,29,1,7,1,13,1,7,1,8,1,24,1,8,1,24,1,9,1,10,1,24,2,17,1,9,1,17,18,24,1,17,1,12,1,17,3,12,1,17,3,10,1,17,7,10,1,17,8,9,1,13,1,6,1,30,9,6,2,30,1,6,2,30,1,6,2,30,5,6,1,30,1,28,1,30,1,28,1,30,1,28,3,30,3,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,3,28,3,30,1,28,1,30,1,29,2,28,1,30,4,28,4,30,2,28,4,30,4,28,1,30,1,28,1,30,2,8,1,11,1,9,1,24,1,8,1,9,1,24,1,8,1,7,1,13,2,6,2,8,1,26,1,25,1,8,1,29,1,26,1,29,3,30,1,25,1,8,1,27,4,29,1,6,2,25,1,28,3,29,1,6,1,24,1,7,1,13,1,30,1,8,1,7,1,13,1,8,1,29,1,6,1,30,1,7,2,6,4,29,1,6,4,29,1,6,1,25,1,30,1,25,2,24,1,7,1,13,1,24,1,13,3,7,1,8,2,13,1,24,1,13,1,24,3,25,1,26,1,8,1,7,1,8,1,10,2,8,1,25,1,8,1,24,1,25,1,24,1,25,1,27,1,8,2,24,1,8,1,25,1,8,5,25,2,8,1,7,1,8,2,24,2,8,1,12,1,13,1,8,1,10,2,12,2,10,1,12,2,17,3,12,1,17,4,12,1,17,1,12,2,10,1,12,5,17,1,13,1,28,13,7,1,29,1,7,1,30,1,7,1,6,1,7,1,30,1,29,1,6,1,7,4,13,1,7,1,13,1,7,1,6,1,13,2,6,5,7,1,13,1,6,1,13,1,6,1,13,1,6,1,8,1,13,2,8,1,13,1,8,1,13,1,7,1,9,1,7,1,29,1,9,1,13,1,7,1,8,1,13,2,8,1,13,1,24,1,8,1,13,1,11,1,17,1,12,2,10,2,11,2,9,1,12,1,11,1,12,1,11,2,17,2,11,3,9,4,8,1,13,4,7,1,13,1,28,1,13,1,28,2,30,2,28,2,30,1,28,2,30,1,28,1,30,1,13,2,6,2,13,1,9,1,16,3,11,1,9,2,13,1,30,1,13,1,6,1,28,1,6,1,29,1,28,26,30,1,9,1,13,2,8,1,13,3,8,1,13,1,8,1,13,1,6,2,13,2,6,1,30,2,13,1,9,1,13,1,9,2,13,2,9,1,8,1,13,2,11,1,9,1,13,1,9,1,6,1,11,1,9,1,13,1,9,1,10,1,11,1,8,3,9,1,7,1,13,4,28,1,8,1,13,2,9,3,13,1,9,3,11,1,9,1,16,1,9,1,11,1,13,1,11,2,8,1,17,2,16,1,17,2,11,1,17,5,11,1,17,1,9,1,13,1,8,1,13,1,7,1,13,3,9,1,13,4,6,1,7,1,13,3,6,1,13,2,6,3,13,1,9,3,7,1,13,1,6,1,28,1,13,1,9,1,7,2,30,1,6,1,13,1,7,1,8,1,13,1,8,2,13,3,9,1,13,4,8,1,9,3,6,1,28,3,30,1,7,1,6,1,28,7,6,1,16,1,17,2,12,1,17,1,12,1,9,1,13,2,8,1,6,1,29,2,13,1,28,2,6,2,29,1,6,2,13,1,8,1,9,1,12,1,9,1,11,2,30,1,28,7,7,1,24,2,9,1,13,1,29,1,30,1,28,32,29,1,9,1,10,1,8,1,13,1,30,1,6,2,17,1,24,1,9,1,6,1,30,1,6,1,29,2,7,1,29,1,9,1,24,1,8,1,24,2,8,1,28,4,6,1,8,1,24,1,13,1,28,2,6,1,30,1,6,2,24,1,10,1,12,1,17,2,9,2,13,1,24,1,29,1,7,1,29,1,8,1,15,1,9,1,30,1,28,3,8,1,12,1,9,1,30,1,28,11,30,1,28,36,24,1,17,1,8,1,29,1,28,4,}, {16,1,17,1,16,1,17,5,16,1,12,1,17,2,9,1,17,1,9,2,24,1,13,1,8,1,6,1,8,1,29,1,11,1,9,1,7,1,30,1,28,1,30,1,29,1,28,1,6,1,28,1,29,1,13,1,28,1,29,1,28,8,13,1,6,1,9,1,8,1,10,1,24,1,6,1,28,8,29,1,24,1,9,1,6,1,28,6,30,1,8,1,13,1,6,3,28,9,30,1,8,1,14,1,11,1,28,44,30,1,6,1,28,1,13,1,8,1,9,2,17,1,15,1,28,1,6,1,28,1,30,1,24,1,10,1,24,1,6,1,7,1,6,1,13,1,8,1,24,3,6,1,29,1,28,5,30,1,28,2,6,1,24,1,6,1,30,1,28,5,7,1,9,2,8,2,29,1,7,1,6,3,8,1,6,2,15,1,12,2,24,1,13,1,30,1,29,1,30,1,29,1,6,1,28,36,6,1,29,1,7,1,6,1,15,1,7,1,30,1,28,4,6,1,17,2,24,1,9,1,12,1,13,2,6,1,30,1,28,1,29,1,28,5,30,1,28,2,29,2,30,1,28,1,6,1,8,1,13,1,8,2,9,1,12,1,14,1,29,1,28,33,29,1,8,1,13,1,10,1,9,2,8,1,11,2,9,1,11,1,10,1,8,1,9,1,8,1,13,2,8,1,16,1,11,2,13,1,9,3,11,1,8,2,9,5,11,1,8,1,9,2,6,1,13,4,6,1,28,2,6,4,7,1,30,2,6,1,30,1,6,2,30,1,29,1,7,1,6,1,29,2,30,1,6,2,7,1,28,1,6,1,8,1,7,1,8,1,29,1,13,1,30,1,6,3,13,1,30,1,6,2,30,1,13,1,28,1,13,1,28,2,13,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,2,28,1,29,1,28,1,6,1,30,1,6,1,13,1,30,3,29,1,30,1,6,1,29,1,28,1,6,1,28,2,29,1,30,1,28,6,6,1,28,1,30,2,28,1,6,2,13,1,29,1,6,1,13,1,9,1,13,1,8,1,9,1,30,1,28,1,6,1,30,1,29,1,30,1,28,2,29,1,30,1,6,1,28,1,29,1,28,2,7,1,28,2,30,1,6,1,28,1,7,1,30,1,6,1,28,1,30,1,29,1,7,1,6,1,30,1,29,1,6,1,30,1,13,1,28,2,6,1,28,1,6,1,30,1,6,2,7,1,13,1,11,2,10,1,11,2,16,1,11,1,16,1,9,1,11,2,16,1,11,1,16,3,11,1,16,1,10,2,9,1,11,1,16,1,9,2,10,1,13,1,10,1,9,2,8,1,9,1,10,1,9,4,11,1,8,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,10,2,8,1,9,1,8,1,10,1,9,1,10,1,9,1,8,1,9,1,10,1,9,1,13,1,9,2,11,1,10,1,9,9,11,1,8,1,9,4,8,1,13,2,9,1,13,3,8,1,13,1,6,1,29,1,28,1,30,1,28,19,24,1,17,1,9,1,11,1,16,1,17,2,16,1,17,1,16,1,17,4,10,1,17,1,12,1,17,2,13,1,7,1,30,1,6,1,7,1,30,1,28,1,30,1,13,1,28,1,29,1,6,1,29,1,30,1,13,1,30,1,28,1,6,1,28,6,30,1,28,2,30,1,6,1,28,1,30,1,28,6,30,1,28,13,29,1,8,1,9,1,13,1,9,1,6,1,28,2,30,1,29,1,30,1,28,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,29,1,30,1,6,1,29,1,6,1,30,1,28,4,29,1,28,2,6,1,30,1,6,1,7,2,29,1,13,3,8,1,13,2,28,79,13,1,28,114,17,7,11,1,17,23,12,1,17,1,11,1,8,3,13,1,10,1,9,1,11,1,16,1,8,1,13,1,9,3,11,1,9,2,11,1,9,1,11,1,10,1,11,1,9,1,16,1,11,2,16,2,9,1,16,1,9,1,11,2,9,1,16,1,9,1,16,1,17,1,9,1,28,1,30,1,7,1,28,1,6,1,30,1,13,1,6,2,13,1,9,2,6,2,13,1,30,2,6,1,30,2,6,1,13,1,6,1,28,1,30,1,29,1,30,1,28,1,30,1,6,1,30,1,29,1,30,7,28,1,30,2,6,2,30,1,29,1,28,1,6,2,30,4,6,1,30,1,6,5,29,2,6,4,29,1,6,3,30,1,13,1,30,2,29,1,30,1,29,2,6,3,30,1,13,1,29,1,6,1,13,1,6,4,30,1,6,2,29,1,6,3,13,1,6,1,30,1,6,1,13,1,6,1,30,1,6,2,29,1,6,4,30,1,29,1,30,3,6,1,28,1,6,1,30,2,8,1,16,1,30,1,13,2,6,5,30,3,6,1,28,1,6,1,30,4,6,1,30,1,28,1,30,7,6,1,28,1,6,1,30,2,6,2,30,1,6,1,29,1,6,1,30,2,6,1,13,1,7,1,6,6,30,1,6,1,13,1,6,3,29,1,28,1,30,4,6,1,30,2,6,1,28,1,30,1,28,1,30,1,29,1,28,1,30,1,6,2,13,2,6,1,30,3,28,1,6,1,29,1,30,1,6,1,30,6,6,1,30,3,6,1,30,3,6,1,7,1,29,1,6,1,30,1,6,1,30,1,6,1,29,1,30,2,6,5,30,2,6,1,30,2,29,1,30,4,6,1,28,1,6,1,30,1,6,1,30,1,13,1,30,6,28,2,30,3,28,1,30,3,6,1,30,1,28,1,30,7,6,1,30,1,6,1,30,1,6,1,30,2,28,1,30,5,13,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,8,6,1,28,1,30,1,29,1,30,1,29,1,6,1,28,1,30,1,6,1,30,1,29,1,30,3,29,1,30,1,29,1,28,1,6,1,28,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,29,1,6,2,29,1,30,3,6,2,7,1,6,3,30,1,29,1,30,1,28,1,30,4,6,1,30,1,6,2,29,2,28,1,6,1,30,1,6,1,30,3,6,2,13,1,6,1,13,2,9,1,6,1,28,1,30,3,6,2,30,1,28,1,6,1,30,1,6,2,30,1,13,1,6,2,7,1,29,1,6,1,30,2,6,1,30,1,6,2,30,1,6,1,28,4,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,2,30,3,6,1,28,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,6,2,30,6,28,1,30,4,6,1,28,3,30,2,28,1,30,2,28,1,30,2,28,2,30,4,13,3,28,1,30,1,28,3,13,1,6,1,13,3,24,1,10,1,12,3,9,1,10,1,8,1,13,1,8,2,10,2,9,1,17,1,9,1,10,1,12,1,17,1,11,1,16,2,17,1,11,1,10,1,17,1,10,3,24,2,8,1,24,1,12,1,24,1,9,1,17,1,10,1,12,1,24,1,9,2,24,3,10,1,12,2,10,2,24,1,10,1,12,3,10,2,24,1,12,1,24,1,12,2,24,1,12,1,24,2,9,1,24,1,8,1,28,3,6,1,28,16,29,1,28,2,6,2,8,1,25,1,8,3,28,3,30,1,6,3,9,1,17,1,13,1,28,1,6,1,28,2,24,2,8,1,6,1,8,2,6,1,25,2,6,1,30,1,6,2,29,1,6,1,28,1,29,1,6,2,7,1,6,2,7,1,6,2,7,1,13,1,8,2,24,2,10,1,12,1,24,1,10,1,12,3,17,24,12,1,17,1,12,1,17,2,12,1,10,1,17,7,12,1,17,2,11,1,17,1,11,1,17,2,16,1,13,1,6,1,30,1,29,1,6,1,30,6,6,2,30,1,6,2,30,1,6,3,30,1,6,1,30,1,29,1,30,3,28,2,6,1,28,1,30,2,28,1,6,1,30,1,28,4,30,4,6,1,30,1,6,1,30,1,6,2,30,1,28,1,30,1,28,1,30,1,28,3,6,1,30,3,28,4,30,3,28,5,30,1,6,1,30,1,28,2,30,2,13,1,9,1,17,1,9,1,24,1,13,1,8,1,6,1,8,1,7,1,6,1,7,1,29,1,24,1,6,1,25,1,6,3,26,1,25,1,28,1,25,1,30,1,25,1,30,1,29,2,8,1,27,2,7,1,29,1,7,1,6,1,30,1,24,1,6,2,7,1,8,1,30,1,7,2,6,1,7,1,29,1,6,4,29,1,6,1,7,2,6,2,7,1,27,1,29,2,6,1,30,2,29,1,8,1,6,1,8,3,25,1,8,1,13,1,8,1,24,1,6,1,24,1,8,2,24,1,12,2,24,2,25,1,6,2,24,2,8,1,24,1,12,1,24,1,25,1,24,1,26,1,8,1,25,1,27,1,24,1,25,1,24,1,8,1,27,1,25,1,24,2,8,1,25,1,8,2,24,1,13,1,8,1,25,1,12,1,24,3,17,1,10,2,24,1,12,1,17,1,9,1,17,1,12,2,17,1,12,1,17,2,12,1,9,1,12,2,9,1,11,1,12,1,17,2,10,1,9,1,12,1,9,1,17,1,8,1,28,14,30,2,6,1,7,1,28,1,7,1,30,1,6,1,29,1,30,1,6,1,13,1,7,3,6,1,13,2,7,1,6,1,30,1,29,1,13,1,7,2,13,1,7,1,6,1,13,1,8,2,13,3,9,1,13,6,7,1,13,1,6,1,13,1,7,1,13,2,7,2,8,1,7,1,24,1,17,2,11,1,12,4,11,3,10,1,11,1,10,1,17,3,9,1,17,1,9,3,11,1,9,2,6,1,9,1,13,2,30,1,6,2,28,1,6,1,29,1,30,1,28,4,30,4,6,2,30,2,6,1,13,1,8,1,11,2,16,2,11,1,9,1,13,1,8,1,6,1,7,1,28,3,6,1,28,25,13,1,9,1,13,1,8,1,13,3,6,1,13,1,9,1,13,1,9,1,13,4,7,1,13,4,9,1,8,1,13,1,8,1,9,1,8,1,11,1,9,1,11,1,9,2,11,1,8,1,11,1,9,1,13,1,9,1,8,1,9,1,16,1,13,1,6,1,9,1,13,4,6,3,13,1,8,1,13,1,9,1,13,1,11,1,9,1,11,1,9,1,13,2,9,2,11,1,10,1,9,1,17,4,10,1,17,3,11,1,17,8,10,1,9,1,13,2,9,1,13,5,6,1,13,3,7,1,13,2,9,1,13,1,6,1,13,2,30,1,13,1,7,1,11,1,9,1,6,1,8,1,28,2,13,2,8,1,13,1,9,1,8,2,13,2,8,1,6,1,9,1,8,1,13,1,9,1,8,4,9,6,28,3,13,1,28,1,6,1,28,1,30,1,28,5,6,1,15,1,16,1,12,1,16,1,12,1,8,1,9,1,13,1,6,1,24,1,13,1,7,1,28,1,30,2,6,1,29,2,30,1,6,2,13,1,24,2,17,1,12,1,9,2,28,8,6,1,9,1,24,2,13,1,28,34,29,1,9,1,12,1,8,1,6,3,10,2,8,1,24,1,13,1,29,1,30,1,29,1,30,1,29,1,7,1,8,3,9,1,24,1,7,1,28,4,29,1,13,1,12,1,13,1,28,3,7,1,29,1,6,1,8,2,17,1,15,1,9,1,17,1,9,1,24,2,13,2,30,1,9,1,12,1,10,1,6,1,28,3,8,1,12,1,13,1,30,1,28,48,24,1,17,1,24,1,30,1,28,4,}, {17,8,9,1,10,1,9,1,10,1,8,2,30,1,13,2,28,1,7,1,30,1,13,1,6,1,13,1,7,1,13,1,29,2,6,1,30,1,28,1,29,1,30,2,6,1,7,1,30,2,28,6,6,1,9,1,13,1,9,3,8,1,30,1,28,8,29,1,13,1,10,1,7,1,28,6,6,1,7,1,8,1,7,1,6,1,30,1,28,10,17,2,14,1,30,1,28,42,29,1,6,1,29,1,30,1,7,1,28,1,13,1,17,1,15,1,24,1,28,1,6,1,29,1,28,1,13,1,12,1,8,2,7,2,13,2,15,1,8,2,6,2,28,4,29,1,28,2,30,1,6,1,13,2,28,6,24,1,10,1,9,1,24,2,6,1,30,2,13,1,8,1,13,1,6,1,13,1,10,1,17,1,15,1,7,1,6,1,13,1,6,1,29,1,7,1,6,1,28,34,30,1,28,2,29,1,28,1,8,1,12,1,8,1,28,5,6,1,24,1,17,1,10,1,12,1,9,1,13,2,6,2,28,2,30,1,28,3,29,2,28,2,29,2,6,1,30,1,29,1,7,1,8,1,10,1,15,1,12,2,17,1,6,1,28,33,6,1,13,2,9,1,13,1,11,2,9,1,11,1,9,2,11,1,10,1,8,1,9,1,11,3,8,1,9,2,8,1,11,1,13,2,6,1,8,1,13,4,9,1,6,1,13,1,6,1,13,1,7,1,30,1,29,1,30,1,28,3,6,2,29,1,28,2,29,1,30,1,29,1,30,1,6,1,29,1,30,2,6,2,29,1,30,1,6,2,29,1,7,2,6,1,13,1,6,1,29,1,6,1,13,1,6,1,13,1,8,1,13,1,8,1,6,1,7,1,30,2,6,1,13,1,7,1,30,1,6,1,28,2,30,1,28,1,6,1,29,1,28,2,6,1,28,2,30,1,29,1,6,1,30,1,28,1,6,2,28,1,6,2,30,1,6,1,28,1,30,2,28,1,30,2,6,1,29,1,30,1,28,2,30,1,28,1,29,1,30,1,28,2,6,1,30,1,13,1,30,1,6,1,30,1,6,3,30,2,24,1,8,1,13,1,6,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,4,29,1,28,1,6,1,30,1,6,2,28,2,30,2,28,1,30,1,6,1,30,1,29,1,6,1,13,1,6,1,28,1,13,2,29,1,6,1,30,2,29,1,13,3,9,1,10,1,11,1,16,3,11,1,16,3,11,1,16,1,11,1,16,3,11,1,16,2,11,1,9,1,11,1,9,2,8,1,11,2,9,4,11,1,9,1,10,1,11,2,9,2,11,1,16,1,13,1,16,1,10,1,9,2,11,1,9,1,11,1,9,1,17,1,9,2,11,2,9,1,11,2,8,1,9,1,8,1,9,3,11,1,10,1,11,1,9,2,16,1,8,1,11,1,9,7,10,1,9,5,13,2,8,1,13,1,8,1,6,1,13,1,28,1,30,1,29,1,30,2,28,17,24,1,12,1,17,5,16,1,17,3,16,1,17,1,16,1,17,5,12,1,9,1,8,2,13,1,6,2,28,1,6,2,8,2,6,1,7,1,6,2,30,1,29,1,28,2,30,1,28,2,6,1,28,1,30,2,28,1,29,1,28,6,29,1,28,8,30,1,28,6,29,1,9,1,24,1,13,1,9,1,13,1,29,1,30,1,28,2,29,1,30,2,29,1,13,2,6,5,30,3,28,1,30,1,29,1,30,1,7,1,28,1,30,2,6,1,28,1,7,1,30,1,6,1,13,2,6,1,7,1,29,1,30,1,29,1,30,1,7,1,6,1,9,1,24,1,28,77,7,1,28,9,30,1,28,103,6,1,16,1,17,3,16,1,17,1,11,1,17,26,9,1,8,1,9,1,13,1,9,4,11,1,9,3,13,2,9,2,11,2,16,2,9,1,16,1,10,1,11,2,9,1,16,1,11,2,16,2,11,1,9,1,11,1,9,1,11,1,16,1,11,1,6,1,28,1,6,1,28,2,6,1,13,4,8,2,9,1,6,3,30,1,28,1,30,1,6,1,28,1,7,1,30,1,29,1,6,1,30,2,29,1,30,2,6,1,28,1,29,1,30,5,29,1,7,1,6,1,30,1,6,1,30,7,6,1,30,4,29,1,6,1,28,1,30,2,6,1,30,3,7,1,30,1,6,3,30,1,6,1,30,2,6,2,29,1,6,3,30,1,6,2,13,1,29,1,6,1,30,1,28,1,30,1,6,2,30,1,6,2,13,1,6,7,30,2,6,2,29,1,30,1,13,1,6,1,29,1,30,1,7,1,6,1,28,1,6,1,30,1,29,3,30,3,11,1,9,1,30,1,6,2,30,2,6,3,28,1,30,2,6,1,28,1,30,3,28,4,30,3,28,1,30,4,6,1,30,4,6,2,30,2,6,1,30,3,6,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,13,1,30,1,7,2,13,1,30,1,6,1,30,1,28,1,30,1,29,1,30,2,28,1,29,1,30,1,28,1,30,2,6,2,30,1,13,1,29,1,30,1,6,1,7,1,30,1,6,2,30,4,6,5,30,2,29,1,6,1,29,1,6,2,13,1,28,1,6,3,13,1,29,1,6,2,30,1,6,1,30,2,6,1,29,1,6,1,13,1,6,1,30,1,6,2,30,2,28,1,30,2,6,1,30,1,28,1,6,1,30,2,28,5,13,1,28,1,30,3,28,1,30,1,29,1,30,1,28,1,30,1,28,1,6,1,28,1,30,2,6,3,30,1,6,2,30,3,29,1,6,8,30,2,6,2,30,2,28,1,6,1,30,1,6,2,30,1,28,1,7,1,30,4,28,1,6,2,30,4,6,2,30,1,6,4,29,1,30,2,28,1,6,1,28,1,6,4,13,1,30,2,6,1,30,1,6,1,30,1,6,2,30,4,29,1,30,1,13,1,6,1,29,1,6,2,30,1,6,2,30,7,6,1,30,1,13,1,30,1,6,2,29,1,30,1,6,1,30,2,6,1,30,2,6,1,28,1,30,2,6,2,13,1,9,1,13,1,30,1,29,1,30,1,6,3,28,1,30,1,7,1,6,9,30,2,6,1,30,1,6,2,13,3,30,1,28,1,30,1,13,1,30,1,29,1,6,1,13,1,28,1,6,1,29,1,6,1,29,1,30,2,6,1,30,1,29,1,28,1,30,7,6,1,30,1,29,1,6,1,29,1,30,5,28,2,30,1,28,4,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,3,30,2,29,1,13,2,8,1,30,1,28,6,8,1,13,1,24,1,8,1,10,2,9,1,10,1,9,1,12,2,8,2,24,1,8,2,9,1,8,1,9,1,12,1,11,1,10,1,12,1,17,2,16,2,10,1,16,1,9,1,10,1,11,1,8,3,9,1,10,2,8,1,13,1,17,2,24,1,10,1,8,4,24,2,12,1,8,1,9,1,10,1,24,2,6,1,24,1,8,1,24,1,17,1,24,1,12,3,17,1,24,1,10,1,8,1,24,1,10,1,12,1,28,3,30,1,28,18,29,1,6,1,7,4,8,1,29,1,28,3,29,2,30,2,8,1,17,1,8,1,28,1,6,1,28,2,13,3,6,1,7,1,6,1,25,1,27,2,30,1,29,3,30,1,6,1,29,1,6,2,7,1,6,1,13,2,8,2,24,2,10,1,11,1,12,1,11,1,9,1,12,1,9,1,17,28,12,1,17,7,10,1,17,13,10,1,13,1,6,1,30,1,29,2,30,2,29,1,30,1,28,1,30,1,6,1,30,1,6,1,30,2,6,2,30,4,28,1,30,6,28,2,30,1,28,2,30,1,28,2,30,1,6,1,30,1,28,1,6,1,30,3,6,1,30,1,29,1,30,2,28,5,30,1,6,2,29,1,30,2,28,1,6,1,30,1,28,2,30,1,28,6,30,1,6,2,30,1,28,3,30,1,6,1,13,1,9,1,11,1,13,1,10,1,8,1,13,1,7,1,8,2,25,1,6,1,25,1,6,1,29,1,6,1,25,1,27,1,29,1,28,1,8,1,25,1,27,1,30,1,29,1,26,1,27,1,29,1,8,1,30,1,27,1,7,2,6,1,28,1,29,1,30,1,7,1,25,1,8,1,25,1,28,1,6,2,30,1,6,1,13,1,6,3,30,1,13,1,29,1,8,1,6,2,25,1,29,1,25,2,29,1,6,2,25,1,8,1,7,1,8,1,6,1,8,3,10,1,6,2,24,1,8,1,7,1,13,1,9,2,24,2,7,1,10,1,25,1,17,1,12,1,24,4,25,3,24,3,25,3,8,1,25,1,8,2,24,1,25,1,8,2,24,2,8,2,10,1,13,1,24,1,12,1,8,1,10,4,12,2,24,1,10,1,17,1,12,1,17,3,12,2,17,1,24,1,13,1,10,2,9,1,12,1,9,1,10,1,11,1,10,1,12,1,17,1,12,2,17,1,9,1,28,13,30,1,28,1,30,3,6,1,30,1,13,1,30,1,29,1,7,1,29,2,13,1,7,2,8,1,13,1,7,1,6,1,7,1,13,2,7,1,6,1,30,1,9,1,7,1,13,2,10,2,13,1,8,1,13,3,8,1,13,5,6,3,7,2,29,1,13,2,7,1,12,1,17,2,10,1,12,1,11,2,12,1,11,1,12,1,11,1,12,1,17,1,10,1,12,1,17,1,11,2,9,2,10,1,9,1,8,1,11,1,13,2,8,1,6,1,30,3,6,1,28,1,6,1,28,1,7,1,30,1,28,4,30,1,28,1,29,1,30,1,6,2,13,3,9,2,16,1,11,1,9,1,13,1,9,1,6,1,13,1,7,1,6,1,30,3,28,26,30,1,13,1,8,1,7,1,13,3,6,1,13,3,9,1,6,1,7,1,13,1,6,1,13,2,6,1,30,1,9,1,13,1,16,1,13,1,8,2,11,1,9,1,8,1,9,1,11,1,13,1,9,1,8,2,9,1,8,1,9,3,13,1,11,1,9,1,13,1,9,2,6,1,9,1,6,1,13,2,7,1,13,1,10,1,9,3,8,2,13,1,16,1,9,2,11,2,9,1,17,1,16,1,12,1,17,2,11,1,17,3,9,1,17,1,12,1,17,3,12,1,17,4,11,1,9,1,6,2,9,1,13,1,7,2,6,2,7,2,6,1,8,1,13,1,9,1,10,1,13,1,30,1,13,1,6,1,13,1,6,1,8,1,9,2,13,1,8,2,13,2,8,1,13,2,9,1,13,5,6,1,8,1,9,1,8,1,13,1,11,1,8,1,11,1,9,4,11,1,7,1,28,3,13,1,7,1,30,1,28,2,30,1,28,4,7,1,14,1,9,1,17,2,9,1,8,3,29,1,8,1,6,1,13,1,6,1,30,1,28,1,29,1,28,1,29,1,6,3,13,2,9,1,11,1,9,1,8,2,6,1,28,7,9,1,13,2,8,1,7,1,6,1,28,27,30,1,28,5,30,1,8,1,12,1,24,1,6,1,28,1,7,1,8,1,12,1,15,1,8,1,7,1,29,1,28,3,30,1,29,1,8,1,24,1,8,1,24,1,8,1,7,1,28,4,29,1,24,1,9,1,24,1,28,2,30,3,8,3,10,1,17,1,12,1,10,1,12,1,8,2,13,1,29,1,13,1,9,1,15,1,24,1,30,1,28,2,29,1,8,1,24,1,13,1,30,1,28,47,30,1,9,3,28,5,}, {11,2,9,1,17,1,9,1,16,1,11,1,9,3,13,1,7,1,13,1,30,1,13,2,6,2,29,1,6,1,7,1,6,1,7,1,13,1,30,1,29,1,28,6,30,2,6,1,28,1,13,1,29,1,28,6,30,1,8,1,13,1,8,1,24,1,13,1,30,1,28,8,29,1,24,1,8,1,30,1,28,6,8,1,24,1,13,1,6,1,29,2,28,9,6,1,17,2,9,1,28,43,30,1,6,2,29,1,7,1,6,1,13,1,11,1,17,1,24,1,30,4,13,1,12,1,24,1,7,1,8,1,13,1,24,2,9,1,8,1,24,1,6,1,29,2,28,7,7,1,6,1,13,1,30,1,28,5,6,1,24,1,12,1,8,2,7,4,6,2,29,1,7,1,24,1,12,1,14,1,9,1,30,1,28,1,29,1,30,1,29,1,30,1,29,1,28,33,30,1,28,3,6,1,30,1,8,2,29,1,28,4,30,1,12,2,9,1,24,1,8,2,6,1,30,1,28,1,30,3,28,2,30,1,28,1,30,1,6,1,30,1,6,1,28,1,30,1,7,1,13,2,24,1,8,1,9,1,8,1,12,1,14,1,13,1,28,33,6,1,13,3,9,1,8,1,11,2,10,1,9,2,10,1,9,2,8,1,9,1,8,1,9,1,8,1,13,1,6,1,8,1,6,1,8,1,13,1,6,1,13,2,6,3,28,2,29,1,30,1,29,1,28,1,30,2,29,1,6,2,30,2,6,2,28,2,6,1,13,1,28,1,30,1,7,1,30,1,6,1,28,1,6,1,30,1,7,1,6,2,13,1,28,1,7,1,29,1,30,1,6,1,30,1,6,1,7,1,30,1,13,1,30,3,28,1,30,1,6,1,8,1,29,1,28,1,13,2,30,3,6,1,30,2,28,1,6,1,7,1,29,1,6,1,28,1,6,1,30,1,13,1,30,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,28,4,30,2,28,1,6,1,28,1,30,1,28,2,29,1,28,1,30,1,28,1,30,1,28,1,29,1,6,1,30,1,28,1,30,1,29,1,6,1,30,1,6,3,9,1,8,1,13,2,29,1,30,1,28,1,30,1,6,1,30,1,28,1,30,1,28,5,30,1,28,1,30,1,29,1,30,2,29,1,28,1,30,1,6,1,29,1,28,1,6,1,29,1,30,1,28,1,29,1,30,4,6,3,28,1,30,1,6,1,28,1,30,1,6,2,8,1,17,1,10,1,11,1,16,1,11,2,16,1,11,1,16,1,11,1,16,4,11,3,16,2,9,2,11,1,9,2,10,1,9,1,11,2,9,1,11,2,9,2,11,1,9,4,11,2,9,1,11,1,9,1,16,1,11,1,10,1,11,1,9,2,11,2,9,1,8,1,11,2,10,1,9,2,10,1,9,1,11,1,9,1,11,1,10,1,9,5,10,1,9,1,11,1,9,2,16,1,9,2,8,1,9,1,8,1,13,1,9,1,8,1,9,1,13,2,17,1,9,1,13,2,30,1,28,4,30,1,28,16,9,1,17,1,12,2,17,4,16,1,17,5,16,2,17,2,12,1,17,1,16,1,17,1,10,1,24,1,13,1,6,1,28,3,30,1,28,1,30,1,13,1,6,1,28,1,7,1,29,1,28,3,30,1,28,1,30,1,28,2,30,1,28,6,6,1,28,8,30,1,28,8,6,1,8,1,13,4,28,1,30,1,28,2,29,2,30,1,13,1,29,1,7,2,6,1,13,1,6,2,29,1,30,1,28,1,6,2,28,1,29,1,30,1,28,1,30,1,28,1,6,1,29,2,28,1,30,1,7,1,30,3,29,3,30,1,7,1,6,2,13,1,7,1,30,1,6,1,28,73,30,1,28,114,13,1,11,1,16,1,17,3,11,1,16,2,17,26,9,2,8,1,9,1,8,1,9,1,11,1,10,1,9,1,13,2,9,1,13,1,9,2,11,3,9,2,11,1,16,1,11,1,16,4,9,1,11,3,9,1,11,3,17,1,13,1,28,2,30,1,28,1,30,2,13,2,6,1,8,2,9,1,13,1,6,1,13,1,30,3,6,1,30,2,13,1,30,2,28,1,6,1,30,2,6,1,30,1,6,2,30,4,6,2,29,1,30,2,6,1,30,1,6,1,28,1,30,1,28,1,29,1,28,1,30,4,28,2,6,1,30,1,6,1,29,1,30,1,29,1,28,1,30,3,28,3,6,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,28,1,30,1,29,1,6,2,28,1,6,1,30,1,6,4,30,2,6,1,30,1,29,1,30,1,6,1,30,1,6,3,30,3,6,2,30,1,6,2,30,1,29,1,30,1,29,1,28,1,30,1,29,1,28,1,30,1,29,1,28,1,17,1,13,1,29,1,7,1,6,1,30,2,6,1,28,1,30,4,28,1,30,4,28,1,6,1,30,1,28,1,30,8,28,1,30,1,28,1,30,2,28,1,29,1,30,1,28,1,6,1,30,4,29,1,30,1,13,1,30,1,29,1,6,1,13,2,6,1,13,2,30,1,6,3,30,1,29,1,30,5,28,1,30,2,28,2,6,1,30,1,6,2,30,2,6,2,30,2,28,1,30,4,6,1,30,1,6,1,28,1,30,3,6,1,29,1,6,4,30,1,6,1,30,1,6,1,30,1,6,4,30,2,6,2,28,1,6,2,30,1,6,2,30,3,28,1,6,1,30,1,28,1,30,3,28,1,30,3,28,1,29,1,9,1,6,1,29,1,30,3,28,1,30,3,28,1,30,4,6,1,30,1,6,2,30,1,6,2,30,1,6,1,28,1,6,1,30,1,6,3,30,2,29,1,28,1,6,1,30,3,6,1,30,2,28,1,30,1,28,1,30,2,6,1,30,1,6,1,29,1,30,1,28,1,6,1,30,1,6,2,30,2,6,2,7,1,6,1,7,1,6,2,29,1,30,3,29,1,30,1,29,1,28,1,30,1,6,2,30,3,6,5,30,1,28,1,6,1,30,1,6,1,30,2,29,1,30,1,29,1,30,1,6,2,30,1,6,4,30,1,28,1,29,1,6,2,28,1,6,3,13,1,6,1,30,2,6,3,30,3,6,1,30,1,6,1,30,1,29,1,6,1,9,1,13,2,30,3,28,1,6,2,30,1,6,4,13,1,29,1,6,2,30,1,6,1,30,2,13,1,30,1,6,2,13,1,7,1,8,1,13,1,9,2,13,2,30,1,13,2,9,1,7,1,13,4,6,1,30,1,29,1,6,2,28,1,6,1,28,2,30,2,6,1,30,1,6,1,28,1,6,1,30,5,6,1,28,2,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,28,1,30,2,6,1,13,3,6,1,28,4,6,1,30,1,8,1,9,5,24,1,9,1,10,1,24,1,13,1,8,6,7,1,13,1,12,1,17,2,16,1,17,1,11,1,16,2,17,1,10,1,17,1,12,1,9,1,10,2,9,2,24,1,12,1,8,1,24,1,17,2,8,2,24,3,10,1,8,1,13,1,10,1,7,1,8,2,13,1,8,2,7,1,24,2,10,1,24,1,10,1,24,1,17,1,24,2,8,2,24,1,10,2,6,1,28,1,6,2,28,19,29,1,30,1,7,1,13,2,29,1,28,8,13,1,17,2,28,1,6,1,28,2,7,1,8,1,13,2,24,1,8,1,28,1,27,1,29,1,30,1,28,1,30,1,29,1,30,2,7,1,8,1,6,1,13,1,24,2,10,1,24,1,10,1,12,1,24,1,12,2,17,18,12,2,17,14,12,1,24,1,17,2,12,2,17,8,12,2,17,4,11,1,13,3,30,2,6,1,30,2,28,1,30,1,6,2,30,1,28,1,30,2,28,1,30,6,28,1,29,1,30,2,6,1,28,1,30,3,28,1,30,1,28,1,30,2,6,1,28,2,30,3,6,1,30,2,6,2,30,2,28,1,30,1,28,4,30,2,28,1,6,1,30,1,29,1,28,1,6,3,30,1,28,1,6,2,30,1,28,4,30,1,29,1,30,1,28,2,30,1,6,1,13,1,9,2,12,1,24,1,13,1,8,1,13,1,7,1,13,1,7,1,8,1,29,1,25,1,29,1,25,1,6,2,26,1,28,1,27,1,30,1,24,1,30,1,26,1,30,1,28,1,25,2,29,1,8,1,6,1,7,1,8,1,6,2,13,1,7,1,25,1,7,1,29,1,6,1,13,1,30,1,6,1,30,2,6,2,7,1,6,1,13,1,28,1,6,2,30,1,29,1,6,1,30,1,25,1,6,1,25,2,6,1,25,1,6,1,25,3,24,1,7,2,8,1,24,1,8,1,24,2,8,2,9,1,12,1,8,1,24,1,7,1,25,1,8,2,26,1,6,1,8,1,24,3,27,1,8,1,25,1,27,1,25,3,12,1,25,1,24,1,27,1,24,1,27,1,25,1,8,1,24,1,8,1,7,1,24,1,8,1,24,1,10,1,12,2,10,1,12,1,24,1,10,1,12,1,10,1,12,1,10,1,17,1,12,3,17,3,12,1,10,1,12,1,24,2,10,1,12,1,10,1,9,1,10,1,12,1,10,1,12,1,17,2,11,2,17,1,11,1,13,1,28,14,30,3,7,1,30,2,7,1,29,1,13,1,6,1,7,1,6,1,30,1,7,1,13,1,7,2,6,1,7,1,6,1,30,1,13,1,6,1,13,1,7,1,13,1,9,2,8,1,13,1,8,1,13,1,7,1,9,1,13,1,7,2,13,1,6,1,8,1,7,1,6,1,7,1,8,2,13,2,24,1,7,1,17,1,11,2,12,1,17,1,11,1,12,1,11,1,17,8,11,1,9,1,11,1,16,1,9,1,16,1,13,1,9,1,13,1,10,1,13,3,29,1,30,2,6,1,28,1,6,1,30,1,28,1,6,1,28,1,30,1,28,2,30,1,6,1,28,1,30,1,6,2,13,2,11,1,16,1,11,1,16,1,9,1,13,1,9,1,13,1,6,1,13,1,6,1,30,3,28,11,29,1,28,13,30,1,6,1,13,1,9,1,13,2,30,1,13,1,7,2,13,7,6,1,8,1,13,1,7,1,13,1,8,1,13,1,10,1,9,3,11,1,10,1,8,1,11,1,13,1,11,2,9,1,8,1,9,3,11,1,13,1,9,1,8,2,13,2,9,1,13,1,6,1,13,3,7,1,8,1,13,3,11,1,9,1,8,1,11,1,9,1,11,1,8,1,13,1,17,3,11,1,17,2,12,1,17,1,12,1,11,1,17,2,10,1,17,9,9,2,8,1,6,1,13,1,7,2,29,1,6,2,13,4,6,1,9,2,13,1,7,1,8,1,13,3,9,2,8,1,13,1,8,1,13,1,9,1,13,3,7,2,13,1,8,1,13,2,6,1,9,2,13,1,9,1,8,2,9,1,13,1,11,1,9,1,13,1,9,2,28,3,6,1,30,3,28,1,29,1,28,4,13,1,17,1,11,1,12,2,9,1,24,1,13,2,6,3,29,1,13,1,6,1,28,1,6,1,28,1,6,1,30,1,6,1,13,1,8,1,10,1,8,1,9,1,10,2,13,1,30,1,28,6,30,1,13,1,11,1,6,1,13,1,7,1,28,34,30,1,10,1,9,1,13,2,29,2,8,1,24,1,12,1,7,1,6,1,29,1,28,1,30,1,28,1,29,2,6,1,24,1,8,1,9,2,6,1,28,4,6,1,8,2,24,1,28,3,29,1,6,1,7,1,8,1,24,1,9,1,11,2,9,1,11,1,24,1,8,1,7,1,6,1,7,1,9,1,12,1,8,1,13,1,28,2,13,1,8,2,13,1,28,49,9,2,10,1,29,1,28,4,}, {9,1,10,1,9,3,13,1,8,1,13,1,9,2,8,1,13,1,30,1,6,2,29,1,30,1,6,1,28,1,7,1,30,1,13,1,30,1,28,1,30,1,28,1,6,2,28,4,30,1,28,3,6,2,28,3,30,1,29,1,30,1,6,1,24,1,13,1,11,1,9,1,8,1,30,1,28,9,8,1,12,1,6,1,28,6,6,1,8,2,7,2,28,10,6,1,17,2,8,1,6,1,28,39,30,1,28,2,30,1,29,1,30,1,29,1,7,3,24,1,17,1,13,1,29,1,6,1,13,1,6,1,13,1,8,1,24,1,9,1,13,1,24,2,12,1,7,1,24,2,13,1,6,1,28,8,7,1,13,2,28,6,6,1,10,1,24,1,8,1,13,1,29,2,30,1,6,1,13,1,6,1,7,1,30,1,13,1,10,1,9,1,6,2,30,1,29,2,6,2,30,1,28,31,29,1,28,2,30,2,28,1,30,1,29,1,9,1,8,1,28,6,10,1,15,1,24,2,9,1,8,1,6,2,30,1,28,7,29,1,28,2,30,1,29,1,6,1,7,1,13,1,8,2,24,2,9,1,14,2,12,1,28,27,30,1,28,5,9,1,13,2,9,4,11,1,13,1,11,1,9,2,8,2,13,1,8,1,9,1,8,2,13,2,6,2,30,2,28,2,30,1,28,1,29,1,28,3,29,1,30,9,28,1,29,2,6,1,29,1,6,1,28,1,6,1,28,1,30,2,29,1,28,1,6,1,30,1,29,1,30,1,28,1,6,3,30,1,13,1,28,1,6,1,29,1,6,1,29,1,28,1,6,2,30,1,13,1,7,1,29,1,30,1,28,1,30,1,13,1,28,3,30,1,28,1,6,1,7,1,6,1,28,1,6,1,28,1,30,1,28,1,6,2,28,1,6,1,30,1,13,1,6,1,28,1,6,1,30,3,6,1,28,2,30,2,28,1,6,1,28,2,6,1,7,1,28,1,30,4,28,2,8,1,30,2,28,1,6,2,30,2,13,1,29,1,13,3,8,2,13,1,29,2,30,2,28,1,30,2,29,1,28,2,6,1,29,1,30,1,6,2,30,2,6,1,28,3,6,1,30,1,28,1,6,1,13,1,29,1,30,1,6,1,30,1,7,3,30,2,6,3,28,4,6,1,13,2,10,1,11,1,10,1,16,1,11,1,9,1,11,1,16,1,11,1,16,2,11,1,16,1,11,1,16,2,11,1,16,1,9,2,10,2,9,3,11,1,9,4,16,1,9,1,16,1,9,1,11,2,10,2,9,1,11,1,10,1,9,1,11,3,16,1,11,3,17,1,11,1,10,1,11,1,9,1,10,1,9,1,11,2,17,1,8,1,9,1,10,1,9,4,10,1,11,1,9,1,11,2,9,1,10,1,9,3,11,1,9,1,8,1,9,2,8,1,9,1,13,1,9,1,17,1,13,2,29,1,28,1,29,1,28,1,30,1,28,18,8,1,17,2,16,1,17,4,16,1,17,2,16,1,17,1,12,1,17,5,11,1,16,2,12,1,10,1,11,1,8,1,6,1,29,1,28,1,29,1,28,1,29,1,6,1,7,1,28,2,6,1,30,1,28,2,29,1,30,2,28,5,30,1,28,1,29,1,28,1,30,1,28,2,30,2,28,6,30,1,28,5,30,1,7,1,13,2,9,1,8,1,6,1,30,1,28,1,6,1,28,3,13,1,7,3,6,1,29,1,13,2,6,2,7,1,28,1,30,1,28,4,30,2,28,1,6,1,29,1,13,2,6,1,28,1,29,1,30,2,28,1,6,1,30,2,28,1,29,1,28,1,6,1,30,1,6,1,7,1,30,1,28,187,17,1,11,1,16,1,17,2,9,1,11,1,16,1,17,27,9,2,13,1,11,1,9,1,11,1,9,1,11,1,13,2,9,1,8,1,9,1,10,1,13,1,11,2,9,1,11,3,9,2,11,1,10,1,11,1,9,1,16,2,11,1,9,2,11,1,16,1,17,1,16,1,13,1,30,3,28,1,6,1,7,1,13,1,6,1,13,2,11,2,13,1,30,1,13,1,30,2,6,1,30,2,6,2,30,3,28,2,30,1,6,1,30,2,29,1,30,1,29,1,28,1,30,1,6,1,28,1,30,1,7,1,28,1,30,2,28,1,29,1,28,1,30,1,6,1,30,2,29,1,30,1,6,2,30,1,28,1,29,1,28,1,30,5,6,1,30,2,6,1,30,1,28,1,30,4,6,2,28,1,30,1,28,1,30,2,6,1,30,1,28,2,6,1,28,1,29,1,30,2,6,3,30,2,29,1,7,1,30,1,6,4,30,3,6,1,30,1,29,1,30,1,29,1,6,1,30,5,29,1,28,1,29,1,6,1,30,1,28,1,30,1,16,1,13,1,30,1,6,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,2,29,1,28,1,29,1,30,3,28,3,6,1,28,4,30,1,28,2,29,1,28,2,6,1,29,1,30,4,6,1,29,1,30,1,29,1,7,1,13,1,30,1,13,1,6,2,7,1,6,1,13,1,6,4,29,2,30,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,29,1,30,1,6,1,30,2,28,1,30,1,7,1,30,2,29,1,6,3,28,1,6,2,30,1,29,1,6,1,30,2,6,2,13,1,6,5,30,1,6,1,30,1,6,6,30,1,6,1,30,2,6,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,2,16,1,28,3,30,2,28,1,30,1,28,1,30,3,28,1,6,1,30,3,6,2,30,4,6,1,30,1,6,1,30,1,29,1,30,1,6,1,29,2,6,2,28,1,30,1,6,1,30,1,29,1,30,1,29,1,30,3,28,1,30,1,28,1,6,1,29,1,6,3,30,1,29,1,30,1,6,2,30,1,6,1,13,1,28,1,6,1,28,1,30,1,6,2,30,1,6,1,30,4,6,1,30,1,6,1,30,1,29,2,30,1,6,1,30,1,6,3,30,2,6,1,29,1,6,4,30,1,7,1,6,1,30,1,6,4,30,1,6,1,30,1,28,1,30,1,6,1,28,1,6,1,29,1,30,1,6,1,28,1,30,3,6,1,28,1,30,1,29,1,30,1,6,1,30,1,6,1,13,1,29,1,28,1,7,1,9,1,13,1,28,2,30,1,6,2,28,1,30,2,6,1,28,1,6,1,30,1,6,1,30,1,6,1,30,3,29,1,6,2,28,1,13,1,6,1,13,3,11,1,13,7,8,2,13,3,8,1,9,1,8,1,13,1,30,2,28,1,6,2,29,1,30,1,6,1,30,2,6,1,30,1,29,1,30,1,28,1,6,1,28,1,6,1,30,1,28,3,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,3,30,6,6,1,30,2,6,1,28,7,9,1,13,2,16,1,12,1,11,2,10,1,8,1,13,1,24,2,13,4,24,1,8,1,12,1,8,1,7,1,9,2,17,1,16,1,12,1,17,1,16,2,17,1,12,1,17,2,10,2,12,1,9,2,8,1,9,4,17,1,10,1,24,3,10,1,8,1,9,1,10,1,8,2,25,1,6,1,8,1,25,1,8,2,25,1,8,2,12,1,10,1,24,1,10,1,8,2,24,1,7,1,24,1,12,2,9,1,24,1,8,1,6,1,28,4,6,2,7,1,28,7,30,1,28,3,29,2,7,1,6,1,7,1,6,1,28,5,30,2,6,2,7,1,17,2,28,1,29,1,28,2,13,4,8,1,25,1,29,2,28,1,29,4,6,1,7,1,29,1,25,1,8,1,24,4,12,1,10,1,17,18,12,1,10,2,24,1,12,3,17,4,12,1,17,1,10,1,17,1,10,1,17,5,12,3,17,1,12,2,17,10,12,1,17,1,11,1,13,2,7,1,30,1,6,2,30,8,6,1,30,2,6,1,30,1,6,1,30,3,6,1,28,1,30,3,6,1,28,1,30,2,6,1,30,4,28,1,30,1,29,1,30,2,6,2,30,6,28,2,6,1,28,1,30,1,28,2,30,1,28,1,6,2,28,1,6,2,30,4,28,1,30,1,28,4,30,3,6,1,30,2,28,1,30,2,13,1,10,1,12,1,9,1,13,2,24,1,13,1,24,1,8,1,25,2,8,1,25,1,29,1,25,1,26,1,27,1,26,1,25,1,26,1,28,1,29,4,27,1,30,1,25,1,29,1,25,2,7,1,6,1,30,1,8,1,6,1,7,1,25,1,24,1,6,2,29,1,6,2,7,1,29,1,6,1,30,1,29,1,13,1,29,1,30,1,6,1,28,1,6,1,29,1,30,1,6,1,29,1,6,1,29,1,7,1,13,1,7,1,6,1,7,1,8,1,30,1,13,2,8,1,24,2,7,1,8,1,24,1,13,1,10,1,24,2,8,3,24,4,12,1,24,1,8,3,25,4,24,1,25,4,24,1,25,1,6,1,24,1,8,2,7,1,25,1,8,1,12,1,8,1,13,1,24,1,10,1,24,2,8,1,12,1,8,1,10,2,24,1,10,1,12,2,17,1,12,1,17,1,12,2,17,1,8,1,24,1,9,1,12,1,24,3,10,3,12,1,11,1,12,1,17,1,11,2,17,3,7,1,28,17,6,2,7,1,30,1,7,2,29,1,6,1,7,5,13,1,6,5,13,1,29,1,8,1,7,1,9,3,8,1,13,1,8,1,13,2,8,1,13,3,7,1,13,1,8,1,7,1,13,1,6,1,7,1,13,1,8,1,10,1,17,1,12,1,11,2,12,1,17,1,10,1,12,1,17,8,11,1,9,1,11,1,16,1,11,1,9,3,13,1,8,1,13,2,6,3,28,1,7,1,28,1,30,1,6,1,28,2,30,1,6,1,30,2,6,1,30,1,6,1,7,2,6,1,13,1,30,1,9,1,11,2,9,2,6,1,9,1,13,1,6,2,13,2,28,20,30,1,28,5,30,1,28,1,13,1,8,1,9,1,8,1,13,2,7,1,13,1,8,1,9,1,8,1,7,1,13,3,8,2,13,1,8,2,13,1,11,1,13,1,8,1,13,1,9,1,16,1,9,2,16,1,11,1,9,1,11,1,13,2,11,1,9,1,11,1,10,1,13,1,9,1,13,1,9,1,10,1,9,1,13,2,9,1,6,1,8,1,7,1,8,1,9,1,11,2,9,2,8,1,13,1,9,3,17,1,11,1,17,3,9,1,17,4,9,2,12,1,11,1,12,1,11,1,10,1,11,1,17,8,11,1,9,2,6,3,7,1,13,1,29,1,13,1,8,1,13,3,9,1,7,1,9,1,8,1,13,3,8,1,9,2,13,2,8,1,13,3,9,1,13,1,9,1,13,1,8,1,9,1,13,2,9,1,13,1,9,1,13,1,11,1,9,1,13,1,9,2,11,1,9,3,8,1,28,3,6,2,28,2,29,1,28,5,13,1,15,1,17,1,11,1,9,1,12,1,13,1,6,1,24,1,28,1,7,1,6,1,29,1,30,1,29,1,28,1,29,1,28,1,6,2,30,1,6,1,13,1,8,1,24,3,8,1,13,1,29,1,28,7,8,1,12,1,13,2,30,1,28,34,30,1,9,1,16,1,8,1,6,1,29,1,6,1,9,1,10,1,24,1,9,1,7,1,29,2,28,1,30,1,29,1,6,1,24,4,7,1,29,1,28,4,29,1,9,1,24,1,8,1,30,2,28,1,30,1,29,1,6,2,24,1,12,1,15,1,12,1,11,2,13,2,6,2,30,1,10,1,17,1,6,1,30,1,28,2,30,1,8,2,29,1,28,49,13,1,6,2,28,5,}, {9,1,13,2,30,1,13,1,30,1,8,1,6,1,13,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,6,30,1,28,2,30,1,6,1,28,6,30,3,28,1,30,1,28,2,13,1,29,1,13,2,8,1,9,1,8,1,28,9,6,2,17,1,13,1,28,6,6,1,24,1,8,1,7,1,6,1,28,10,29,1,10,1,9,1,8,1,6,1,28,43,30,1,7,1,29,2,6,1,29,1,17,1,24,1,7,1,28,1,6,1,30,2,7,1,24,3,8,1,13,1,8,1,24,2,8,1,9,1,6,1,30,1,28,8,29,1,13,1,8,1,28,6,30,1,17,1,13,1,8,1,24,1,13,1,29,1,6,1,13,1,6,1,13,3,9,1,14,1,15,1,13,1,7,1,29,1,28,1,13,1,29,1,13,1,30,1,28,31,30,1,28,3,6,1,30,1,6,1,7,1,9,2,28,5,30,1,10,1,17,1,10,1,8,3,13,1,6,1,30,1,28,1,29,1,28,4,29,1,28,3,6,1,30,1,28,1,7,1,13,1,8,1,13,1,24,2,8,1,12,1,15,1,9,1,28,15,30,1,28,17,6,1,9,1,8,1,9,1,13,1,9,1,13,3,7,1,13,2,8,1,6,2,29,1,30,1,28,1,29,1,6,1,30,1,28,1,6,1,30,1,29,2,28,1,6,1,28,5,30,3,29,4,30,1,29,1,30,2,6,3,29,1,30,1,28,1,13,1,6,1,28,1,7,1,28,1,30,1,6,1,28,1,6,1,28,1,7,1,30,1,29,1,28,1,6,1,13,1,29,1,6,1,13,1,30,1,13,1,6,1,13,4,30,1,28,1,30,2,28,1,30,1,28,1,8,1,30,2,6,1,30,1,28,1,6,1,30,1,6,1,28,2,29,1,28,1,6,1,30,1,28,1,30,1,6,1,30,1,28,3,30,1,28,1,7,1,29,1,6,1,28,1,6,1,30,1,6,1,28,1,6,1,28,1,13,1,28,1,6,1,28,2,30,1,28,1,6,1,28,3,6,2,29,1,13,1,6,1,8,1,6,1,7,1,8,1,11,1,8,1,9,1,30,1,6,1,28,1,29,1,28,2,29,1,28,3,6,1,30,1,28,1,29,1,30,1,6,2,28,1,30,2,6,1,28,1,7,1,28,1,30,1,6,2,30,1,6,3,29,1,30,1,6,1,28,1,6,1,13,1,30,1,28,1,6,1,28,1,29,1,28,1,13,1,6,1,9,1,17,1,11,4,16,1,9,1,11,1,16,6,11,1,16,1,11,3,9,1,11,2,9,6,11,1,10,1,11,1,10,1,9,2,11,1,9,1,10,1,9,1,11,2,9,1,11,5,16,1,11,1,8,1,11,1,9,1,13,1,10,1,16,1,9,2,11,1,9,3,11,1,9,2,10,1,9,1,13,1,9,2,11,1,9,11,8,1,13,3,11,1,10,2,13,2,29,1,6,1,30,1,28,1,30,1,28,17,10,1,17,5,16,1,17,4,16,1,11,1,17,4,10,1,17,1,12,1,9,1,17,3,10,1,12,1,8,1,7,1,30,2,6,1,30,1,28,1,8,1,28,1,6,3,28,1,30,1,6,1,28,2,29,1,28,2,6,1,28,2,13,1,28,1,6,1,28,1,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,6,30,2,8,1,9,1,7,1,13,1,8,1,28,1,30,1,28,2,30,1,28,1,6,1,28,1,30,1,13,1,29,1,7,1,30,1,6,3,29,2,6,2,28,1,30,4,29,1,28,3,30,1,6,1,29,2,6,1,30,1,28,1,29,1,28,4,30,3,28,1,6,1,7,1,6,2,29,1,28,70,7,1,28,6,30,1,28,106,29,1,17,1,11,1,17,1,11,1,9,2,10,1,17,12,16,1,17,15,11,1,10,1,8,3,11,1,9,1,13,5,11,1,9,2,11,1,9,3,11,1,9,1,11,1,16,1,11,6,9,2,11,2,16,1,17,1,9,1,30,2,28,2,6,1,30,1,7,1,6,1,13,1,9,3,8,1,30,2,13,1,6,1,30,3,6,1,7,1,30,9,28,1,6,1,28,1,30,1,6,1,30,3,28,1,30,2,6,1,28,1,6,1,30,1,6,1,30,3,6,1,30,1,28,3,6,1,28,1,30,2,6,2,30,1,6,2,30,1,28,1,30,1,29,1,30,1,6,3,30,1,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,5,29,1,30,1,28,1,6,1,30,4,6,1,30,4,6,3,30,3,6,2,29,1,30,7,28,1,30,2,28,1,30,1,28,1,30,1,28,1,17,1,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,1,28,3,30,1,28,5,30,1,28,3,30,1,28,1,30,1,28,1,30,1,6,1,30,2,28,1,6,4,29,1,6,2,13,1,6,4,28,1,6,1,13,2,30,3,6,1,30,1,29,1,30,6,28,1,30,2,28,1,6,1,30,2,28,1,30,3,6,1,30,1,6,1,28,1,6,1,30,9,29,1,6,1,30,3,6,1,29,1,6,1,13,1,28,1,6,1,29,1,6,2,30,1,6,4,29,1,6,4,13,1,6,2,30,3,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,3,8,1,13,1,30,2,6,1,28,1,29,1,6,1,28,2,6,1,30,4,28,1,30,1,6,1,30,1,6,1,30,1,28,1,30,3,6,1,30,3,6,1,30,1,6,1,28,1,30,5,29,1,30,4,6,1,30,3,6,1,30,3,6,1,30,1,6,2,28,1,6,1,30,2,6,3,30,1,6,2,30,1,28,1,30,1,28,1,6,1,30,1,6,3,30,2,7,1,30,1,6,4,30,1,6,3,29,1,30,1,6,2,30,2,6,1,30,2,29,1,6,3,30,1,29,1,30,4,6,1,30,4,6,2,29,1,30,1,6,1,30,1,6,2,30,3,6,1,30,1,6,1,13,1,30,1,13,1,9,1,13,1,30,1,6,2,30,1,29,1,30,4,13,2,6,2,30,2,6,1,30,1,6,1,28,1,30,1,6,1,30,1,6,2,13,2,6,2,13,2,6,1,13,4,8,2,6,1,13,1,9,1,6,1,13,1,9,1,17,1,6,1,30,1,6,2,30,2,6,1,30,2,6,2,30,3,6,1,30,3,28,1,30,1,28,2,29,1,28,1,30,3,28,3,29,1,28,1,30,1,28,5,30,1,6,1,30,2,6,1,29,1,28,4,6,1,28,1,6,1,17,2,9,1,11,2,17,3,9,1,8,3,6,1,24,1,8,2,24,1,8,2,12,1,11,1,9,1,8,2,13,1,17,2,12,1,17,3,12,1,17,1,12,1,17,1,12,1,11,1,16,1,17,1,10,1,17,2,12,1,8,1,12,2,8,2,24,1,8,1,9,1,24,1,8,1,6,1,25,1,6,1,7,1,29,1,6,1,28,1,29,1,7,1,6,1,25,1,24,3,27,1,8,2,13,1,8,1,7,1,17,1,10,1,12,1,17,1,11,1,7,1,28,4,6,1,10,1,17,1,24,1,13,1,6,1,28,1,30,1,28,1,30,1,28,1,29,2,30,2,6,1,13,1,29,1,28,7,30,2,6,1,7,1,6,1,17,2,9,1,6,1,28,2,9,1,6,1,7,1,13,2,29,1,30,1,26,1,29,2,27,1,29,1,6,1,7,1,6,1,8,1,7,1,8,2,24,1,8,1,17,1,12,3,17,16,24,1,10,2,9,1,12,1,9,1,12,2,17,1,12,1,17,2,12,1,17,1,9,1,24,1,17,1,10,1,12,1,17,1,10,1,12,1,17,18,13,3,6,1,29,1,28,1,30,2,6,1,30,4,6,1,30,2,28,1,6,1,30,1,6,1,30,1,28,1,30,3,6,1,30,3,6,1,30,1,6,1,30,3,28,1,30,1,29,1,30,2,6,2,28,1,6,1,28,1,30,4,28,2,30,2,28,2,30,1,6,1,28,3,30,1,6,1,30,4,28,1,30,1,6,1,30,3,28,2,30,2,28,4,30,1,28,1,30,1,6,2,17,1,9,1,24,1,10,1,24,1,13,1,8,3,6,3,26,1,29,1,27,1,25,1,8,1,30,1,27,1,8,1,26,2,27,1,25,2,30,1,6,1,25,1,8,1,25,1,29,1,7,2,29,1,13,1,6,1,8,1,7,1,30,1,6,3,7,1,6,2,7,1,29,1,6,1,7,2,6,1,13,1,30,1,29,1,13,1,30,1,6,2,28,1,13,1,7,1,28,1,29,1,7,1,6,1,7,1,6,1,8,1,13,1,8,1,24,1,10,1,8,1,13,1,12,1,8,1,10,1,24,2,8,3,24,1,10,1,8,1,24,1,25,2,8,1,25,1,8,1,25,1,8,1,26,1,25,3,8,1,24,1,25,2,24,1,8,2,24,1,7,1,25,1,12,1,7,1,24,6,12,1,24,3,12,1,10,1,12,1,10,1,12,1,9,1,12,1,17,2,12,2,9,2,8,1,12,1,24,3,10,1,12,1,10,2,12,1,10,1,12,1,8,1,12,1,17,1,11,1,12,1,10,1,9,2,13,1,30,1,28,15,30,2,28,1,7,1,13,1,7,2,13,2,6,1,7,1,6,2,7,3,6,1,7,2,28,1,6,1,7,1,6,1,7,1,8,1,13,1,7,1,13,1,8,1,9,1,6,1,13,1,7,1,13,1,8,1,7,1,13,1,9,1,13,2,8,1,13,1,6,1,9,1,17,2,9,1,12,3,10,1,11,1,9,1,17,7,12,1,9,1,11,1,9,1,10,2,9,1,8,1,9,1,11,1,8,1,9,1,30,2,13,1,6,2,7,1,6,1,30,3,28,1,6,1,28,1,6,2,28,1,6,2,13,4,8,1,9,1,11,1,16,1,9,1,10,1,9,1,13,1,9,1,13,1,6,1,13,1,6,1,28,1,6,1,29,1,30,4,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,10,8,1,13,1,9,1,13,1,8,1,13,1,9,1,7,1,13,4,9,1,11,1,9,4,8,1,9,2,11,2,9,1,13,1,11,1,9,1,11,1,17,1,16,1,13,1,11,1,13,1,9,1,8,1,9,3,13,1,11,1,9,1,13,1,9,1,13,1,9,1,13,5,9,3,8,1,9,2,11,1,9,2,8,1,9,1,16,1,17,8,12,1,24,1,10,1,11,1,8,1,9,1,11,1,12,1,24,1,11,1,12,1,17,2,12,1,17,5,9,1,13,1,6,1,13,1,30,1,7,1,13,5,8,1,13,1,9,2,13,2,9,1,8,1,13,1,9,2,13,2,9,1,13,1,9,1,13,1,8,1,9,2,13,1,9,1,13,2,9,1,8,1,13,2,9,1,13,2,9,4,8,1,9,2,11,1,9,1,28,3,7,1,6,1,28,7,30,1,6,1,16,3,17,1,11,1,8,2,24,1,7,2,29,1,6,1,29,1,6,1,28,1,29,1,28,1,6,1,28,2,6,1,8,1,13,1,8,1,9,1,13,1,24,1,8,1,28,7,30,1,24,1,10,1,7,1,13,1,6,1,30,1,28,33,6,1,9,2,13,1,29,1,30,1,7,1,13,1,10,1,8,2,7,1,29,1,30,1,6,1,29,1,6,1,8,3,24,1,9,1,8,1,6,1,28,4,6,1,9,1,24,1,8,1,30,1,6,1,30,1,28,1,30,1,6,1,8,1,13,1,9,1,15,1,10,1,17,1,9,2,13,1,6,1,29,1,6,1,8,1,10,1,11,1,28,3,6,1,7,1,10,1,6,1,30,1,28,47,29,1,24,1,9,2,28,5,}, {13,1,28,1,7,1,30,1,28,1,13,1,7,1,6,1,29,1,28,5,6,1,28,2,30,1,28,2,30,1,28,2,30,1,28,4,30,1,28,2,6,1,28,7,30,1,6,1,28,2,30,1,29,1,28,1,7,1,8,2,13,1,28,10,30,1,24,1,7,1,28,6,6,1,8,1,13,1,8,1,7,1,30,1,28,9,13,1,6,1,9,1,8,1,28,43,29,2,30,1,13,1,29,2,6,1,12,1,15,1,24,1,7,2,30,2,28,1,13,1,8,2,13,1,7,1,8,2,13,1,24,1,9,1,13,1,29,1,30,1,28,7,7,1,6,1,8,1,29,1,28,5,6,1,9,1,8,1,10,1,24,1,6,1,7,2,13,3,7,1,13,1,24,1,14,1,11,1,8,1,7,1,29,1,7,1,30,2,8,1,29,1,28,32,30,1,28,2,30,1,28,1,8,1,24,1,9,1,8,1,29,1,28,5,24,1,9,2,24,1,8,1,13,1,29,1,6,1,28,1,30,1,28,2,30,1,28,3,6,1,30,1,29,1,30,1,28,1,29,1,8,2,13,1,8,1,9,1,8,1,15,2,17,1,13,1,28,33,8,1,9,2,13,2,7,1,28,1,6,1,28,2,30,1,28,7,30,1,28,1,30,1,28,1,30,1,28,2,6,1,28,2,30,1,28,2,29,1,28,3,30,2,29,1,28,2,30,1,6,1,28,2,30,1,6,1,28,1,29,1,6,2,30,2,6,3,29,1,13,1,28,1,6,1,29,1,13,1,28,1,13,1,29,1,28,1,6,1,28,1,6,1,29,1,6,1,30,1,6,1,30,1,6,3,30,1,28,1,30,2,6,2,28,1,6,1,28,1,29,1,6,1,30,1,29,1,6,1,28,1,7,1,28,1,6,1,30,1,6,1,30,3,29,2,30,1,6,1,28,1,13,2,6,1,30,1,28,1,6,1,30,1,6,1,28,2,13,2,30,1,28,2,30,3,28,1,6,2,30,1,28,2,6,1,28,1,29,1,30,1,6,2,28,1,30,1,8,1,9,1,6,1,9,1,13,1,30,4,28,1,30,1,29,1,28,1,6,1,28,1,29,1,30,1,28,1,6,1,28,2,7,1,6,1,28,1,6,1,30,1,28,2,30,1,28,1,6,1,28,1,13,1,6,1,30,1,13,1,28,1,6,1,13,1,6,1,7,1,6,1,30,1,28,3,30,1,28,1,30,1,13,1,11,1,10,1,11,1,9,1,16,1,11,2,16,3,11,2,16,1,17,1,16,3,11,1,16,1,11,1,9,1,11,1,13,1,9,1,11,1,9,1,10,1,11,1,8,1,9,1,8,1,11,1,9,3,11,1,16,1,8,1,9,1,16,1,9,4,11,3,9,1,11,5,9,1,11,1,10,1,11,1,10,1,16,1,10,2,11,1,9,4,11,1,9,1,10,1,9,5,8,1,9,7,13,2,16,1,10,1,13,2,7,1,6,1,30,1,29,1,30,2,28,17,12,1,10,1,17,4,12,1,17,3,11,1,17,1,10,1,12,1,17,1,12,1,17,2,12,1,11,1,9,1,17,1,16,1,11,1,16,1,17,1,13,2,6,1,29,1,30,1,28,3,6,1,30,1,6,1,30,1,28,3,30,1,28,3,6,1,30,1,28,1,29,1,28,3,30,1,28,4,30,1,28,10,30,1,29,1,13,2,8,2,13,2,29,1,28,1,30,1,28,1,30,2,29,2,13,1,29,1,7,1,29,1,30,2,6,3,30,2,29,1,6,1,28,5,30,1,7,1,29,2,6,1,28,1,30,1,29,1,28,1,29,1,28,2,30,2,28,2,29,1,28,1,29,1,30,1,7,1,13,3,6,1,28,68,7,1,28,113,9,1,17,1,11,1,17,1,9,1,13,1,8,1,11,2,17,10,11,1,17,1,16,1,17,12,10,1,16,1,11,1,9,4,11,1,13,2,9,1,13,2,9,3,16,1,11,1,9,1,11,2,9,1,11,1,9,2,11,7,10,2,16,1,17,1,11,1,30,1,6,1,30,1,28,2,30,1,7,2,13,4,11,1,13,1,6,2,30,2,6,1,28,1,30,1,7,1,30,1,29,1,30,1,28,1,30,1,28,2,30,2,6,1,30,1,29,2,30,1,28,1,30,2,6,1,30,2,6,1,28,1,6,1,30,2,29,1,28,1,30,4,29,1,28,1,6,1,30,6,28,1,6,1,30,3,29,1,6,2,30,1,6,1,30,2,6,1,28,1,6,1,30,1,29,1,28,1,30,1,28,1,6,1,30,1,28,1,30,2,7,1,6,1,29,1,30,3,28,1,30,2,6,1,30,1,13,1,6,1,29,1,6,2,29,1,6,2,30,2,6,1,30,2,28,1,30,2,29,1,30,6,28,2,30,1,17,1,30,1,28,1,29,1,30,1,28,1,6,1,28,1,29,1,28,1,29,1,28,1,6,1,30,1,29,1,28,1,6,1,30,1,28,2,30,1,28,1,30,2,28,2,30,2,28,1,30,2,28,1,30,2,28,3,30,3,28,1,30,2,28,1,30,2,6,3,29,1,6,1,30,1,7,1,6,1,30,1,7,1,28,2,30,8,28,2,30,1,28,1,30,2,28,4,30,3,28,1,30,7,28,2,30,3,29,1,30,2,28,2,30,1,28,2,13,1,29,1,6,1,30,6,6,3,30,1,6,1,7,1,29,1,30,1,6,1,30,1,13,1,30,1,28,1,6,1,28,1,30,5,29,2,28,1,30,1,28,1,13,1,30,1,29,1,28,3,30,4,28,1,30,2,6,1,30,1,29,1,6,2,28,1,6,1,30,2,28,1,30,5,6,1,30,1,29,1,30,1,6,2,29,1,30,7,28,2,29,1,30,3,28,1,30,5,28,1,6,1,30,2,6,1,13,1,30,1,6,1,30,1,28,1,29,1,30,2,29,1,28,1,30,2,28,1,6,2,30,1,6,1,30,3,6,1,29,1,30,1,6,3,30,1,7,1,13,3,6,1,28,1,6,1,30,1,28,1,29,1,6,1,29,1,30,2,29,1,6,1,28,1,30,2,6,1,30,2,13,1,30,3,28,1,6,1,30,1,13,1,30,3,28,2,6,2,28,1,6,1,30,1,13,2,6,1,30,1,28,1,30,1,6,1,30,3,6,1,29,1,6,1,30,4,6,1,30,1,6,1,30,1,29,1,6,2,28,1,13,3,6,1,13,2,8,1,13,7,7,1,13,6,17,1,6,1,30,1,13,2,7,1,30,1,6,1,30,3,7,1,29,1,6,1,30,1,6,1,30,8,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,6,30,1,24,1,17,3,11,1,17,2,11,1,17,1,10,1,8,2,13,2,8,1,9,1,24,2,10,2,12,2,17,1,9,3,11,1,16,2,11,1,16,1,17,2,11,1,17,1,16,1,17,2,11,1,17,4,10,2,17,1,10,2,12,1,24,1,13,1,24,1,8,1,13,1,8,1,24,1,29,2,28,4,30,2,7,1,24,1,25,1,8,1,24,1,7,2,24,1,8,1,13,1,12,1,17,3,9,1,30,1,28,5,7,1,24,1,17,2,12,1,7,1,8,1,7,1,8,1,7,2,6,1,7,1,6,1,8,1,13,1,8,3,9,1,8,1,6,1,30,1,28,1,29,2,6,1,7,1,6,1,12,2,17,1,13,1,28,1,29,1,10,1,8,1,7,1,13,1,7,1,6,1,26,1,27,1,29,3,28,1,25,3,6,1,25,1,6,1,25,1,10,1,24,1,8,1,17,13,12,1,24,1,12,1,24,1,10,1,24,2,12,1,10,1,17,1,12,2,10,1,12,1,17,1,9,1,10,1,17,2,10,1,24,1,10,1,12,1,24,2,17,3,10,1,17,12,12,1,17,1,12,1,17,1,9,1,6,1,13,1,6,1,30,1,29,1,6,1,30,1,6,1,28,1,30,2,29,1,30,3,6,1,30,3,28,3,30,1,28,2,30,7,28,1,30,2,6,1,30,2,6,2,30,1,6,1,30,2,6,1,30,2,28,3,30,3,28,1,30,2,28,1,30,2,6,1,29,1,30,2,6,1,30,1,6,2,30,1,29,1,28,4,30,5,28,2,30,4,13,1,17,1,11,1,24,1,8,1,24,1,13,1,25,7,27,2,29,1,27,1,28,1,25,1,29,2,25,1,29,1,27,1,29,1,6,1,7,1,29,1,6,1,8,1,6,1,29,1,7,1,30,2,24,1,7,1,6,2,29,1,6,1,29,1,7,1,28,1,7,1,6,1,30,1,7,1,6,2,13,1,6,2,29,1,7,1,30,1,29,1,13,1,7,1,6,2,29,1,7,1,6,1,7,2,6,1,29,1,8,1,13,1,8,1,29,1,8,1,7,1,12,1,24,2,8,2,24,2,8,1,24,1,25,1,24,2,8,1,26,1,24,2,26,1,8,1,6,1,25,1,8,1,6,1,24,1,8,1,26,2,24,1,8,3,24,1,8,1,24,1,25,1,24,2,8,2,10,3,24,2,10,1,24,3,10,1,17,3,12,1,17,2,12,1,17,1,12,2,10,1,24,1,10,2,9,1,12,1,24,1,12,1,24,1,17,1,12,3,11,1,12,2,17,1,12,1,17,1,9,1,28,2,30,2,28,18,30,1,29,1,6,1,7,1,6,1,7,1,13,1,8,1,6,1,13,1,7,1,30,2,13,1,30,1,6,1,7,3,8,1,13,1,8,1,13,1,6,1,13,2,7,2,13,1,29,1,7,1,6,2,13,1,6,1,13,1,8,1,13,1,10,1,17,2,9,1,12,1,11,1,12,1,10,1,11,2,17,7,12,1,11,1,17,1,9,1,16,1,8,1,9,3,13,1,9,1,13,1,6,1,29,1,7,1,6,1,13,1,6,1,28,1,6,1,28,1,30,1,28,1,6,1,30,1,28,1,30,1,6,3,13,1,6,2,13,2,11,1,9,1,16,1,17,1,9,1,13,1,9,1,8,1,6,1,13,1,30,1,28,2,6,1,30,4,28,1,6,1,30,3,6,2,28,2,30,1,28,1,30,1,28,1,30,1,28,8,6,1,13,1,8,1,9,1,13,1,8,2,9,2,13,1,9,1,13,2,9,1,11,1,9,1,10,1,9,3,13,1,9,1,8,1,11,1,16,1,9,1,16,1,9,1,11,1,9,4,8,1,10,2,9,4,8,1,9,2,13,2,9,1,13,1,9,1,13,2,9,1,8,1,9,3,8,1,11,1,13,1,9,1,16,1,9,1,12,1,17,5,12,1,9,1,24,1,9,1,13,2,9,1,8,1,11,1,13,1,8,1,11,1,24,1,8,1,10,1,12,1,17,2,11,1,12,1,17,2,11,1,9,1,13,1,8,1,13,1,6,1,13,3,7,1,13,1,9,1,13,2,9,1,13,1,10,1,6,1,13,8,11,1,13,2,9,1,13,1,29,1,8,1,13,1,9,1,8,1,13,1,8,2,9,1,13,1,9,3,13,1,9,2,10,1,9,2,30,1,28,2,6,1,28,1,29,1,28,1,30,1,28,6,6,1,16,2,17,2,9,1,8,1,13,1,7,1,6,1,7,1,30,2,6,1,30,1,6,2,28,1,6,1,30,3,13,1,6,1,8,2,24,2,13,1,28,8,6,1,9,1,13,3,28,34,29,1,9,1,10,1,8,1,30,1,29,1,30,1,6,1,9,1,10,1,13,1,29,1,7,1,30,1,28,1,30,1,13,2,24,1,9,1,24,2,13,1,29,1,28,4,30,1,9,1,13,1,7,1,30,1,28,1,29,2,6,1,7,1,24,1,8,1,11,1,17,1,9,1,12,1,17,1,11,1,6,2,30,1,13,2,17,1,24,1,28,1,30,1,28,2,8,1,9,1,29,1,28,48,6,1,13,1,24,1,8,1,28,5,}, {30,1,6,1,28,2,30,1,13,1,6,1,28,1,30,3,28,1,30,1,28,1,6,1,30,2,28,8,30,1,28,1,29,1,30,3,28,7,30,2,29,1,28,4,29,1,6,1,8,1,17,1,9,1,29,1,28,9,6,1,15,1,8,1,30,1,28,5,7,1,6,1,7,1,6,2,29,1,28,10,6,1,8,1,13,1,29,1,28,43,29,1,28,1,6,1,13,1,6,1,9,1,17,1,15,1,13,1,30,1,6,1,28,3,9,1,24,1,7,1,13,1,8,1,6,1,8,1,13,2,8,1,6,2,28,8,30,1,7,1,13,1,28,7,17,1,24,2,8,2,29,1,6,1,8,2,7,1,13,1,6,1,13,1,15,1,9,1,24,1,6,1,30,1,29,1,28,1,13,1,29,1,28,37,30,1,6,2,8,1,24,1,30,1,28,5,6,1,12,1,24,1,13,1,24,1,6,3,29,1,13,1,28,2,30,1,28,2,6,2,28,2,29,1,30,2,6,1,8,3,13,1,24,2,14,1,17,1,8,1,28,15,30,1,28,35,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,3,6,1,28,1,7,1,30,1,7,1,29,1,6,1,9,2,6,1,28,1,7,2,28,1,13,1,29,1,28,2,30,1,6,1,30,1,28,1,30,2,28,2,6,1,30,1,6,2,30,1,28,2,30,1,6,1,30,1,29,1,6,1,13,1,6,1,30,1,6,1,28,1,6,2,28,1,29,1,7,1,30,1,13,1,7,2,6,1,28,1,30,1,29,2,30,1,28,1,29,1,28,1,6,1,28,1,30,1,29,1,7,1,28,1,6,1,30,1,6,1,29,1,6,1,30,2,28,2,6,2,28,1,30,1,13,1,6,2,28,1,6,1,28,4,30,1,28,1,30,1,13,1,28,4,30,1,6,1,30,1,13,1,30,1,13,1,29,2,13,1,9,1,8,2,6,1,30,1,28,6,30,2,29,1,28,1,30,1,28,1,13,1,7,1,28,1,30,4,28,1,30,2,6,3,30,1,6,3,30,1,13,1,6,2,30,1,29,1,30,1,28,2,30,1,28,1,6,1,30,1,6,1,13,1,8,1,11,1,10,1,16,2,11,1,16,2,11,2,17,1,16,3,11,2,16,2,11,1,9,1,16,1,10,1,11,3,9,1,11,1,9,1,11,1,9,1,11,2,10,1,9,1,11,1,9,2,11,3,9,2,11,2,9,3,11,3,9,2,11,1,9,1,11,1,16,1,11,2,9,1,11,1,9,2,11,1,9,1,11,1,10,1,11,1,10,1,9,3,11,1,9,1,8,1,11,1,9,2,8,1,9,1,8,2,9,1,8,1,13,1,9,2,10,1,7,1,13,1,7,1,30,2,6,1,28,18,11,1,17,2,12,1,17,1,16,1,17,1,11,1,12,1,11,1,12,1,17,1,9,1,11,1,9,1,12,1,11,1,9,1,10,1,9,1,16,1,11,2,9,1,16,1,11,2,9,2,8,1,29,1,28,2,6,1,28,1,30,1,6,2,28,1,29,1,30,5,6,1,30,1,6,1,28,2,30,1,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,3,29,1,13,4,7,1,13,1,7,1,28,7,29,1,13,1,7,1,13,1,7,1,30,1,6,3,28,4,30,2,29,1,6,1,30,1,29,1,30,1,28,2,30,1,28,1,7,1,29,1,30,1,28,1,6,1,28,1,30,1,28,2,30,1,28,2,30,3,6,2,13,1,7,1,6,1,13,1,30,1,28,2,30,1,28,63,29,1,28,112,6,1,9,1,11,1,17,1,11,1,9,3,17,13,11,1,17,13,9,1,17,1,9,1,11,1,9,1,8,1,9,2,13,3,8,1,13,1,9,6,11,2,10,1,8,1,11,1,9,1,11,3,16,1,10,2,11,1,9,2,16,1,17,1,13,1,30,1,13,1,28,3,6,2,7,1,13,4,9,1,30,1,6,1,13,1,30,4,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,29,1,30,1,6,1,30,2,6,2,30,2,6,1,30,1,6,3,28,1,6,2,30,5,28,1,30,2,29,1,6,1,30,5,6,1,30,1,29,2,28,1,7,1,30,2,6,3,30,3,6,1,29,1,30,3,28,1,30,1,28,1,30,2,6,2,30,2,6,1,30,3,29,1,30,1,29,1,30,2,6,1,30,3,29,1,30,2,6,2,28,1,6,1,28,1,29,1,30,1,28,1,30,4,28,2,30,1,28,1,6,1,17,1,30,1,29,1,30,2,6,1,30,1,6,1,30,1,6,2,30,3,28,1,6,1,28,1,29,1,30,3,28,4,30,1,28,2,30,1,28,1,30,7,29,1,30,7,28,1,30,2,28,1,6,1,30,2,6,1,30,1,6,1,13,1,6,1,30,2,6,1,30,4,28,1,29,1,30,2,28,1,30,1,6,1,30,1,6,2,30,3,28,1,6,1,30,1,6,1,30,4,29,1,28,1,6,1,30,1,28,1,30,1,28,3,30,1,28,1,30,3,6,1,29,1,30,3,28,2,29,1,30,1,28,1,30,3,6,1,28,1,6,1,30,1,6,3,30,2,6,1,28,2,30,1,28,1,30,2,28,3,30,1,28,2,13,1,30,2,28,2,30,4,28,2,30,3,28,1,30,1,6,1,30,1,13,1,30,1,28,2,6,1,30,1,6,1,30,3,29,1,6,1,29,1,30,2,6,1,28,2,30,1,28,1,30,5,28,1,29,1,6,1,28,2,6,1,30,4,6,1,30,4,6,2,30,1,6,2,30,2,6,1,28,1,30,1,28,1,30,3,29,1,30,8,6,2,30,1,6,5,30,2,29,1,30,1,6,1,13,1,30,1,6,1,30,1,29,1,6,1,28,1,6,1,29,1,13,1,6,2,30,1,6,1,28,1,30,1,28,1,6,1,30,2,6,2,30,1,6,3,13,1,30,1,7,1,6,2,13,3,6,3,30,1,6,2,7,1,6,1,30,1,13,1,30,1,6,1,30,1,6,1,28,1,29,1,6,1,30,1,6,2,30,1,13,1,30,1,13,10,6,1,13,3,7,1,13,1,6,1,8,1,13,1,6,1,9,2,28,1,6,4,29,1,30,4,29,1,30,1,6,4,30,5,29,1,28,1,29,1,28,1,30,2,28,1,30,1,28,4,30,3,28,2,30,3,28,8,9,1,17,3,16,1,17,5,11,1,8,3,13,1,24,3,9,1,12,1,10,1,9,2,10,1,9,1,11,2,10,1,16,1,17,1,16,2,17,5,11,1,17,1,11,1,12,1,17,2,12,1,24,1,12,1,10,1,12,1,24,2,10,1,8,1,24,1,8,2,29,1,6,1,30,1,28,1,30,1,28,2,30,2,6,2,25,2,8,1,25,2,6,1,29,1,8,1,24,1,12,1,17,3,11,1,28,5,30,1,29,1,7,1,10,1,12,1,7,1,13,1,29,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,6,1,24,1,12,2,17,4,12,1,24,1,8,1,13,1,7,1,6,2,12,1,11,1,17,1,8,1,28,1,13,1,10,1,13,1,8,1,13,1,7,1,6,1,7,1,29,1,6,1,29,3,27,1,7,1,27,1,6,1,25,1,6,1,8,2,9,1,17,11,10,1,12,1,9,1,10,3,24,1,12,1,10,1,12,2,10,1,12,5,10,1,12,2,10,1,12,3,8,1,12,1,24,1,10,2,12,3,17,1,12,1,17,2,12,1,17,11,6,4,30,2,28,1,30,3,6,1,30,4,6,1,30,3,28,1,30,3,28,1,30,5,6,1,28,1,30,4,6,2,30,3,6,1,30,1,6,1,30,2,29,1,30,1,28,2,30,1,28,1,6,2,30,9,6,1,30,7,6,1,28,1,30,1,28,1,30,10,6,1,11,1,12,1,24,1,10,1,8,4,26,1,25,3,26,2,25,1,29,1,25,3,27,1,26,1,25,1,29,1,6,1,28,1,6,1,25,1,26,1,25,2,8,1,7,2,6,4,29,2,6,1,28,1,6,1,30,1,7,2,30,1,29,2,6,1,13,1,30,1,29,1,7,1,6,2,29,1,30,1,6,2,29,2,6,1,13,1,29,1,6,1,8,1,7,2,8,1,24,1,7,1,8,1,13,1,24,1,13,1,8,1,24,1,8,1,24,1,8,3,25,1,12,1,8,1,24,1,25,1,8,1,24,2,8,1,26,1,25,1,8,1,25,1,29,1,25,1,24,1,25,1,8,1,26,2,24,1,8,1,25,1,24,1,8,2,13,1,8,1,13,1,8,1,24,2,8,1,24,5,12,1,24,1,10,3,17,1,12,2,17,1,12,1,24,1,10,1,24,3,8,1,12,1,24,2,10,1,12,3,24,1,10,1,12,1,24,1,12,1,10,1,9,3,12,1,7,1,28,1,30,1,29,1,13,1,30,1,28,21,7,1,6,4,7,2,28,1,6,1,7,1,13,1,29,1,6,1,13,1,6,2,7,1,6,1,13,2,30,1,7,3,6,1,7,1,6,3,13,4,12,3,11,1,10,1,9,1,10,1,17,1,10,1,12,3,17,2,12,2,17,1,11,2,9,2,11,1,9,1,8,1,13,1,9,1,8,1,10,1,7,2,28,1,29,1,13,2,30,1,6,1,30,1,28,1,6,1,28,2,30,2,28,1,6,2,13,1,6,1,7,1,6,1,13,2,17,1,9,1,10,1,11,1,8,1,13,3,6,1,13,1,6,1,7,1,6,1,13,1,7,1,6,1,13,1,6,1,7,1,6,1,30,2,28,1,13,1,28,1,29,1,6,1,28,1,6,1,28,2,29,1,6,1,7,1,30,2,13,2,30,1,6,1,8,1,13,1,9,1,11,1,8,1,11,1,9,2,16,1,13,1,9,3,8,1,9,3,11,1,9,1,16,1,11,1,9,5,11,3,9,2,11,1,13,1,8,1,9,1,11,1,16,1,13,1,9,2,8,1,13,2,8,1,13,1,9,1,8,1,9,1,13,1,9,1,8,1,13,1,8,2,9,1,8,1,9,3,17,5,12,1,17,1,10,1,17,1,10,1,24,1,9,1,8,1,9,1,13,1,11,1,9,2,24,1,10,1,9,1,24,1,17,6,12,1,17,3,11,1,13,5,7,2,13,1,8,1,9,5,13,1,8,1,13,2,9,1,8,1,11,3,13,1,8,3,9,1,8,1,13,1,9,2,13,2,9,1,13,2,9,1,13,2,9,8,28,2,6,1,30,3,28,7,13,1,9,1,16,1,10,1,12,2,8,1,7,1,30,1,6,1,29,1,6,1,30,2,6,1,29,1,28,2,29,1,30,1,6,2,7,1,8,1,9,1,24,2,9,2,30,1,28,6,30,1,6,1,11,1,8,1,7,1,13,1,28,34,6,1,9,1,17,1,13,1,29,1,30,2,13,1,24,1,13,1,7,1,6,1,30,1,29,1,6,1,29,1,7,1,13,1,24,2,8,2,24,1,6,1,28,3,30,1,6,1,8,1,9,1,6,1,28,2,30,1,6,1,7,1,13,1,9,2,11,1,17,1,10,1,12,1,9,1,10,1,29,1,7,1,6,1,30,1,12,1,11,1,9,1,30,1,28,2,6,1,7,1,10,1,6,1,29,1,28,35,30,1,28,11,6,1,10,1,8,2,28,5,}, {28,4,30,1,28,1,7,1,28,1,30,2,28,2,30,1,6,2,28,1,6,1,28,1,6,1,28,1,30,1,28,1,30,2,28,5,30,1,6,1,29,1,28,1,7,1,30,1,28,12,29,1,9,1,12,1,29,1,28,9,7,1,9,1,8,1,30,1,28,5,6,1,13,1,6,1,28,1,30,2,28,9,6,1,29,1,24,1,13,1,29,1,28,40,30,1,28,2,30,1,6,1,7,1,6,2,7,1,24,1,14,1,24,1,29,1,28,2,30,1,28,1,24,2,9,1,6,3,8,2,24,1,8,1,6,2,28,9,13,3,28,6,17,1,24,2,9,1,6,2,29,1,13,1,8,1,7,1,8,1,13,2,15,1,14,1,8,1,6,1,29,1,30,2,28,1,29,1,28,37,29,1,28,1,13,1,24,1,8,1,6,1,28,4,30,1,7,1,9,1,10,1,24,1,7,1,6,1,13,1,6,2,30,2,29,1,28,1,30,1,13,1,29,1,6,1,30,1,28,1,6,3,13,3,8,1,24,2,9,1,24,1,14,1,24,1,28,15,7,1,28,6,29,1,28,25,30,2,28,2,30,1,28,6,30,1,28,1,30,1,29,1,28,2,30,2,6,2,30,1,6,2,30,2,6,1,28,1,30,1,29,1,30,1,6,1,29,1,30,2,28,1,6,2,30,1,7,1,28,1,30,1,29,1,30,2,6,1,30,1,6,1,30,1,28,1,29,1,6,2,28,1,6,1,28,2,6,1,30,1,7,1,30,1,6,1,28,1,30,2,6,2,29,1,6,1,30,1,28,1,30,1,6,1,30,2,29,1,6,1,28,1,29,1,28,1,30,1,6,1,28,2,7,1,13,1,6,1,28,1,6,1,30,1,13,1,30,1,6,1,29,1,28,1,30,1,6,1,28,1,6,1,28,3,29,2,30,1,28,1,30,1,6,1,7,1,30,1,6,1,28,1,6,1,28,1,29,1,7,2,13,1,6,1,13,1,29,1,8,1,13,1,8,1,13,1,30,1,28,1,30,1,28,1,29,1,30,1,28,3,6,1,30,1,28,1,29,1,30,1,28,3,6,1,30,4,6,1,29,1,6,1,13,1,6,1,30,1,13,1,6,1,7,1,29,1,30,1,28,1,30,3,28,6,30,1,6,1,13,1,8,1,11,1,16,1,11,2,16,1,11,1,16,2,17,1,16,1,17,1,16,1,11,2,16,4,11,2,9,1,11,1,16,1,9,4,11,3,16,1,9,1,11,1,16,1,11,3,10,2,11,1,9,6,11,1,16,1,17,1,9,2,11,1,9,1,11,1,16,1,11,1,16,1,11,2,9,2,11,1,9,1,8,1,9,1,11,1,9,9,8,1,10,1,8,1,13,2,9,1,8,1,13,1,8,1,10,1,9,1,13,2,6,1,30,1,6,1,30,1,28,18,17,1,11,1,17,4,11,1,17,1,16,2,11,1,17,1,11,1,12,3,9,2,11,1,9,2,10,1,11,1,10,1,11,1,24,1,9,1,11,1,9,1,24,1,13,1,30,1,28,3,30,1,28,1,6,1,7,1,28,1,29,1,6,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,29,2,28,2,29,1,28,2,13,1,28,1,30,1,29,1,28,1,30,2,28,5,30,1,9,1,7,1,13,3,6,1,13,1,6,1,30,1,29,1,28,2,29,2,6,2,30,1,6,3,7,1,6,2,30,1,29,1,30,3,6,1,28,1,30,1,29,2,28,1,29,1,30,1,28,2,30,1,29,1,30,1,6,1,28,1,29,1,7,1,6,1,30,1,29,1,6,3,30,3,6,2,8,1,9,1,13,1,8,2,28,1,6,1,29,1,28,62,30,1,28,112,9,1,11,1,10,1,16,1,9,3,11,1,17,11,16,1,17,15,16,2,11,2,13,1,9,1,11,1,13,1,8,1,13,1,6,1,13,2,8,1,11,3,9,1,13,1,16,1,11,1,9,1,11,5,16,1,11,1,9,1,8,1,16,1,11,1,9,1,16,1,11,1,13,1,30,2,28,2,6,2,13,1,6,1,13,3,9,1,13,1,30,1,6,1,30,1,28,1,30,2,6,1,29,1,30,1,29,1,30,1,28,2,30,3,6,1,30,1,29,1,6,2,29,1,6,1,30,2,6,2,30,3,29,1,30,3,28,1,30,2,28,1,30,9,28,1,29,1,30,2,6,1,28,1,30,2,6,4,30,1,6,1,30,2,6,1,30,1,28,1,30,4,6,1,30,1,28,1,6,3,28,1,30,1,6,1,30,2,6,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,6,28,4,30,1,28,2,30,3,28,1,6,1,13,1,11,1,28,1,30,2,29,1,30,3,6,1,30,1,6,1,30,5,28,1,30,2,28,2,30,1,28,3,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,30,2,28,2,30,2,6,1,28,2,6,2,30,2,29,1,13,1,6,1,28,1,29,1,28,1,30,1,6,1,30,3,28,1,29,1,28,1,6,1,30,1,6,1,28,1,30,3,6,2,30,4,6,1,30,3,28,1,30,2,28,1,30,1,28,1,30,5,28,1,30,2,28,2,30,1,6,1,28,2,6,1,30,2,28,2,30,6,28,1,30,5,28,4,30,1,28,1,30,2,28,1,30,1,28,3,29,1,28,1,30,1,28,4,30,2,28,4,30,2,6,3,13,1,30,8,6,1,30,5,6,1,28,1,6,1,30,1,28,1,30,8,28,1,7,1,30,1,6,1,30,2,29,2,30,1,28,1,30,2,13,1,6,2,30,2,28,2,30,4,28,1,30,4,6,1,28,1,30,1,6,1,28,1,30,7,6,2,30,1,6,1,30,1,6,2,30,1,6,4,13,1,6,1,29,1,6,3,28,1,30,4,6,3,30,2,6,4,29,1,6,1,7,1,30,3,9,1,13,2,6,1,30,2,6,1,30,1,6,1,28,1,6,3,30,2,6,1,30,3,6,1,30,3,6,1,13,1,30,2,29,1,30,2,6,2,13,7,6,1,13,2,9,1,13,6,30,1,6,4,13,1,6,5,30,1,6,1,30,3,6,1,30,12,28,1,30,2,28,1,30,4,6,1,29,1,6,1,30,1,28,3,30,1,28,2,30,1,28,1,9,1,17,3,11,1,17,1,12,1,17,3,12,1,8,1,24,1,8,1,13,1,12,1,10,1,9,3,10,1,24,1,8,1,10,2,11,1,12,1,9,2,17,1,11,1,17,1,16,1,17,4,11,2,10,1,11,1,17,2,10,2,24,2,12,1,25,2,24,5,8,1,7,1,6,1,28,6,30,1,7,1,25,2,24,1,26,1,25,2,6,1,8,1,24,1,12,1,10,1,17,4,13,1,28,4,6,1,13,1,9,1,17,1,28,1,30,1,6,5,29,1,28,2,29,1,10,1,12,1,17,1,12,1,17,6,10,1,12,1,13,1,12,1,9,3,6,1,28,2,10,1,8,1,7,1,8,1,25,1,29,1,6,1,27,1,6,1,29,2,28,1,25,1,29,1,30,2,6,2,25,1,13,1,9,1,10,1,17,9,12,1,9,1,12,1,9,1,10,1,24,1,10,3,12,1,9,1,24,1,10,1,12,1,9,1,24,1,12,2,24,1,10,2,9,1,12,3,10,1,12,1,9,1,12,2,24,1,12,1,17,1,12,1,17,2,12,1,17,11,11,1,29,1,30,1,6,1,30,5,29,2,28,1,30,2,29,1,30,3,28,1,30,3,28,1,30,2,28,1,30,3,28,1,30,5,6,3,30,7,28,1,30,1,28,1,30,8,6,1,30,4,6,2,30,1,29,1,6,3,30,6,28,1,6,1,28,1,6,1,28,1,30,2,28,2,30,1,29,1,13,1,12,2,8,2,24,1,8,2,25,1,26,1,8,1,26,1,25,1,26,1,25,1,26,1,30,1,8,1,27,1,6,1,26,1,30,1,27,1,6,2,25,1,30,1,27,1,29,1,25,1,6,1,25,2,29,1,7,2,6,3,29,1,7,1,6,1,25,1,28,1,7,2,13,1,28,1,24,1,30,1,7,1,30,1,28,1,6,4,7,2,29,1,13,1,8,1,30,1,7,1,6,1,13,2,8,3,13,2,7,1,24,2,10,1,24,1,10,1,6,1,13,1,25,1,24,1,8,1,17,1,24,4,25,2,8,3,6,1,25,1,6,1,8,4,26,1,25,4,24,1,8,1,25,1,24,1,13,1,8,1,24,1,12,1,13,1,24,5,12,1,8,1,17,1,24,1,9,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,24,1,13,1,8,1,24,1,9,1,7,1,9,1,24,1,12,1,24,1,12,1,9,1,24,1,9,1,12,1,10,1,9,2,12,1,10,1,17,1,12,1,17,2,8,1,6,1,28,1,30,1,6,2,28,20,30,1,28,1,30,2,6,1,30,4,6,3,13,1,6,1,30,3,6,2,30,1,28,1,30,1,13,1,7,1,6,1,7,1,13,3,29,1,13,1,10,1,9,1,17,1,10,1,11,1,12,1,9,1,10,1,17,1,11,1,12,1,17,1,12,1,17,1,12,1,17,2,12,1,17,2,9,2,11,1,9,4,10,1,13,1,9,1,13,2,6,1,30,1,7,1,13,1,30,1,28,1,30,1,28,2,30,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,13,1,28,1,7,1,6,1,9,2,11,2,10,1,11,1,13,1,9,2,7,1,6,1,13,2,6,1,30,1,13,1,6,2,7,1,6,2,13,1,28,2,6,1,28,1,6,1,28,1,30,1,7,1,6,1,13,1,7,2,6,1,13,2,8,1,13,2,8,1,9,3,16,1,13,1,10,1,9,2,11,1,9,1,13,1,9,1,13,1,8,1,9,2,11,1,16,1,10,1,16,1,9,1,10,1,11,1,9,1,11,1,9,1,17,2,11,1,16,1,11,1,9,2,16,1,9,2,8,1,13,1,9,2,13,1,9,2,13,2,8,1,9,1,13,1,8,1,9,1,11,1,13,1,8,2,9,4,17,1,11,1,17,4,9,1,12,2,10,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,24,1,9,1,8,1,9,1,10,1,12,1,24,1,17,1,12,1,17,3,12,1,17,1,11,2,17,1,9,2,13,4,6,1,13,5,8,1,13,3,8,1,9,1,11,1,8,2,9,1,13,1,9,1,13,8,9,1,13,2,8,1,13,2,9,1,13,1,9,4,8,1,9,1,16,1,13,1,28,3,6,1,13,1,28,1,30,1,28,6,13,1,17,2,10,1,17,1,9,2,24,1,29,1,28,1,30,1,6,1,28,1,6,1,28,1,29,2,30,1,6,1,30,2,13,4,9,1,13,1,9,1,8,1,28,7,29,1,8,1,9,1,8,1,13,1,6,1,28,34,6,1,9,1,12,1,13,1,28,1,6,1,29,1,13,2,9,1,7,1,28,2,29,2,28,1,13,1,9,1,13,1,24,1,9,1,8,1,6,2,28,4,6,1,9,1,13,1,7,1,28,4,6,1,13,1,8,2,11,1,15,1,17,1,12,1,9,1,13,1,6,1,7,1,6,2,11,1,12,1,8,1,28,3,6,1,8,2,29,1,28,18,6,1,28,29,30,1,9,1,17,1,6,1,28,5,}, {28,4,6,1,29,1,30,1,28,1,30,1,28,2,30,1,13,1,6,2,28,1,30,1,28,2,30,1,6,1,30,1,28,5,30,3,6,1,7,1,6,1,13,1,6,1,28,6,29,1,28,5,8,1,24,1,17,1,7,1,28,8,30,1,29,1,9,1,8,1,30,1,28,6,13,1,8,1,7,1,8,1,28,11,30,1,28,1,13,1,29,1,28,39,30,1,28,2,30,1,28,1,13,1,30,1,13,1,6,1,8,1,17,1,14,1,17,1,30,1,28,2,29,1,30,1,7,1,14,1,29,1,6,1,13,1,6,1,8,4,6,1,29,1,28,8,7,1,24,1,6,1,28,7,12,1,8,1,12,2,8,1,7,1,6,2,13,1,8,3,13,1,12,1,14,1,24,1,6,1,28,1,29,1,28,1,30,1,7,1,30,1,28,35,29,1,13,1,28,1,13,1,8,1,24,1,30,1,28,5,8,1,10,1,9,1,7,1,24,1,29,1,13,1,6,2,29,1,30,1,6,2,28,1,30,1,6,1,30,2,28,1,6,1,7,1,6,2,8,1,13,1,24,2,7,1,9,1,12,1,17,1,8,1,28,15,30,1,6,1,30,1,28,15,30,1,28,16,6,1,28,1,30,1,28,1,6,1,28,6,30,1,28,1,6,1,28,2,6,2,28,1,13,1,7,1,6,2,29,2,30,2,6,1,30,1,6,1,28,2,29,1,30,1,28,2,6,1,13,1,28,1,30,6,28,1,6,1,28,1,13,1,30,1,13,1,6,3,30,1,7,1,28,1,6,1,28,1,30,2,28,1,30,2,28,2,29,1,28,1,6,1,28,1,6,1,30,2,28,1,6,1,30,1,7,1,6,1,30,1,6,1,29,1,30,2,6,2,28,1,6,1,28,2,30,3,29,1,30,1,8,1,30,2,7,1,28,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,6,1,28,4,6,1,30,1,6,5,13,4,8,1,7,1,6,1,28,1,7,1,28,1,6,2,28,1,6,1,29,1,30,1,29,1,28,1,30,2,29,1,28,1,6,1,28,1,6,1,29,1,30,1,28,1,29,1,6,3,28,1,6,1,28,1,13,1,6,2,30,1,28,2,30,1,28,1,6,1,28,1,30,1,29,1,30,4,13,1,8,1,11,2,16,12,11,1,16,1,11,1,9,1,11,1,10,1,9,2,10,1,11,2,16,1,9,1,11,1,9,1,11,3,16,1,9,1,11,1,9,1,11,2,9,1,11,2,10,1,11,3,9,2,16,1,9,3,11,1,9,3,8,1,9,2,16,1,8,1,11,1,9,2,10,1,9,1,11,1,9,1,11,1,10,1,9,4,11,1,8,1,11,1,8,3,9,1,8,2,10,2,13,1,24,1,6,1,13,1,6,1,28,20,17,1,11,3,17,1,11,1,17,1,11,1,17,1,11,1,17,1,9,1,17,1,9,1,8,2,10,1,9,1,24,1,10,1,9,1,8,1,9,5,8,1,9,1,12,1,9,1,13,1,28,5,29,2,30,1,29,1,30,1,6,1,30,1,28,1,30,3,28,1,6,1,30,1,28,1,29,1,30,1,28,4,30,1,28,1,30,1,28,6,6,1,7,1,8,1,7,1,6,1,9,1,8,1,7,1,29,1,13,1,6,1,28,1,29,1,28,1,30,1,28,2,6,4,30,1,13,1,6,1,29,1,30,1,6,1,28,2,6,1,28,1,6,2,28,1,13,1,30,3,29,1,6,2,28,1,30,1,28,1,30,2,28,1,30,1,29,1,28,2,6,1,28,1,30,2,29,1,28,1,13,1,6,1,13,1,8,1,9,1,13,2,7,1,30,1,28,63,30,1,28,110,6,1,8,1,13,1,9,1,11,1,8,1,9,1,10,1,11,1,17,10,16,1,12,1,11,1,17,1,12,1,16,1,17,12,9,2,11,1,9,2,8,1,13,2,9,1,13,3,9,1,8,1,9,2,10,2,16,1,9,1,10,1,8,1,11,5,9,1,11,1,10,1,11,1,10,1,9,1,17,1,16,1,6,2,28,3,29,1,13,2,6,1,13,3,9,1,13,1,6,1,13,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,30,5,29,2,30,3,6,1,28,1,29,1,30,1,6,3,30,2,29,1,6,1,30,4,28,1,30,1,28,2,6,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,29,2,6,1,30,1,29,1,30,2,6,1,30,2,6,2,13,1,28,1,6,3,30,4,28,1,30,1,6,2,29,1,30,2,6,1,30,1,29,1,30,4,6,1,30,3,29,1,30,2,6,1,30,1,28,1,29,1,13,1,30,2,29,1,6,1,28,2,30,2,28,2,30,1,28,1,30,4,16,1,13,1,30,3,6,1,28,1,6,1,30,3,6,1,30,4,6,1,30,2,28,1,30,1,28,2,30,1,29,1,28,3,30,3,28,1,30,2,28,6,30,1,28,2,30,2,28,1,30,1,28,1,29,1,28,1,30,1,6,4,30,2,28,1,6,1,30,3,6,1,29,1,30,1,6,3,30,3,6,2,30,2,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,4,28,1,30,3,6,1,28,1,6,1,28,1,30,1,28,1,30,2,28,2,13,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,2,28,2,6,1,30,2,6,1,30,1,28,2,30,2,28,2,30,1,28,3,30,1,28,2,30,1,28,1,30,2,28,3,30,8,13,1,6,2,29,1,30,1,29,1,6,1,30,4,28,1,30,4,29,2,30,4,6,1,30,1,29,1,30,1,28,2,30,2,28,1,30,3,28,2,30,9,29,1,6,1,7,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,1,30,1,6,1,28,1,30,2,28,1,30,6,6,2,30,1,28,1,6,1,30,1,6,3,30,1,6,1,30,1,6,5,30,1,6,1,30,2,6,3,7,1,29,1,30,1,6,1,30,1,6,3,30,1,6,3,7,1,13,2,6,2,30,1,6,2,7,1,30,1,7,1,6,2,30,1,29,1,6,2,30,1,6,2,30,1,6,2,30,1,6,3,30,4,6,2,30,1,6,2,30,1,28,1,29,1,6,4,13,1,30,1,13,1,6,2,30,2,6,2,30,3,6,2,30,3,6,1,30,1,6,1,7,1,13,1,6,1,30,1,28,2,30,2,28,1,29,1,30,1,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,4,28,1,30,1,6,1,13,1,28,1,6,4,28,1,6,1,9,1,17,3,9,1,11,1,12,1,9,1,16,1,17,1,11,1,17,1,8,1,13,1,24,1,7,1,9,3,10,1,24,2,9,1,8,3,9,1,17,1,11,1,12,1,16,1,17,3,12,1,17,1,12,2,11,1,17,1,12,2,17,4,24,3,8,1,25,2,24,1,8,2,24,1,25,1,13,1,29,1,28,5,30,1,29,1,6,1,25,1,8,1,25,1,7,1,29,1,7,1,6,1,7,1,24,1,17,1,12,1,8,1,17,4,24,1,13,1,28,2,30,1,24,2,12,1,28,2,29,1,7,1,29,1,6,1,29,1,30,3,7,1,24,1,13,1,8,1,24,1,17,5,12,1,10,1,13,1,30,2,7,1,13,1,30,1,6,1,28,2,12,1,13,1,8,1,13,1,6,1,7,1,30,1,6,1,29,1,30,1,29,2,30,2,29,1,28,1,29,1,6,1,13,2,10,1,17,8,12,1,8,1,12,1,24,1,12,2,9,1,10,1,12,1,17,1,12,1,24,1,12,2,10,2,9,1,10,1,17,1,24,1,9,1,10,1,12,2,24,1,12,2,10,2,12,1,8,1,12,1,9,1,12,1,9,1,17,2,12,2,17,11,9,1,6,1,30,22,28,1,30,4,6,1,28,1,13,1,30,1,6,2,28,1,30,8,28,1,6,1,30,1,28,1,30,1,28,1,6,1,28,1,30,4,6,1,28,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,1,6,2,30,1,28,2,30,1,6,1,30,4,6,1,28,2,30,3,8,1,17,1,9,1,8,1,24,2,25,1,8,2,24,1,25,1,29,1,8,1,29,1,25,1,30,1,26,2,27,1,6,2,29,2,6,1,27,1,25,1,28,1,6,1,27,1,6,1,8,1,13,1,8,1,6,1,30,1,13,1,7,1,6,2,29,1,30,1,29,1,7,1,28,1,30,1,6,1,8,1,7,3,6,1,29,1,8,1,30,1,7,1,30,1,6,1,30,1,6,1,30,1,7,2,29,1,13,1,7,1,6,1,8,1,13,1,6,1,8,1,9,1,7,1,24,1,6,2,13,1,8,1,24,1,8,1,25,2,24,2,12,1,8,3,24,1,27,1,8,1,24,1,8,1,30,1,25,1,26,1,24,1,8,1,6,1,8,1,27,1,29,1,26,1,8,1,6,1,26,1,8,1,25,2,8,1,25,1,8,1,24,1,13,1,8,1,24,1,12,1,24,1,10,1,12,4,10,1,24,3,12,1,17,1,12,2,10,1,12,1,10,1,8,1,24,2,12,1,24,1,10,2,12,1,10,1,17,1,24,1,10,1,12,2,17,1,12,1,17,1,9,1,10,1,12,1,10,3,11,1,6,1,30,1,28,1,7,1,13,2,6,1,28,25,7,2,6,1,7,1,30,1,6,1,30,1,28,1,30,1,28,3,30,2,28,1,29,1,6,2,13,1,7,1,13,4,11,1,12,1,9,1,17,1,10,1,11,1,9,1,11,2,17,2,10,1,12,3,17,1,11,2,17,1,11,3,13,1,10,1,13,1,11,1,10,2,13,1,9,1,13,1,7,1,30,1,6,2,13,1,28,1,6,1,28,1,6,1,28,1,30,1,6,1,13,1,28,1,30,1,13,1,29,1,7,1,13,2,6,1,8,1,11,2,16,2,9,1,13,6,6,1,7,1,13,1,6,1,13,1,6,3,28,1,13,2,29,1,30,1,6,1,28,1,7,2,30,1,13,8,8,2,9,2,8,1,13,1,9,3,16,1,8,1,11,1,9,1,8,1,11,1,9,1,13,1,9,1,16,1,9,1,11,1,9,3,16,1,11,1,9,1,11,1,17,1,16,3,17,1,9,6,8,1,9,1,8,1,11,1,10,1,9,1,8,1,13,1,9,1,13,1,9,1,13,2,9,3,11,1,9,1,13,1,11,2,12,1,17,1,12,1,17,4,10,1,8,1,10,1,12,1,13,1,8,1,24,1,8,2,13,1,24,1,10,1,8,1,12,1,13,1,9,1,17,1,9,1,12,1,10,1,9,1,12,1,17,3,11,1,17,1,9,1,17,2,6,1,13,2,9,1,13,1,6,1,13,1,9,1,8,1,6,1,13,2,8,1,13,1,9,2,8,1,9,1,13,1,9,1,13,3,8,3,13,2,8,1,11,1,13,2,8,1,9,1,13,2,9,3,8,1,9,4,11,1,13,1,30,1,28,2,6,1,30,1,28,8,9,1,17,1,9,1,12,2,9,1,24,1,8,1,13,1,29,1,6,1,29,1,6,1,30,1,29,1,30,1,29,3,6,2,29,1,6,1,24,1,6,1,13,1,8,2,13,1,29,1,28,5,30,2,13,1,15,1,8,1,13,1,6,1,28,33,30,1,7,1,17,1,9,1,13,1,30,1,6,1,28,1,8,1,12,1,13,1,6,1,29,1,28,1,30,1,28,2,6,1,13,1,7,1,12,1,10,1,9,1,24,1,6,1,28,4,29,1,15,1,9,1,6,1,28,3,30,1,29,2,7,1,12,2,17,1,12,2,24,1,13,1,7,3,24,1,10,1,9,1,12,1,28,3,30,1,13,1,10,1,30,1,28,19,30,1,28,9,30,1,28,18,6,1,11,1,24,1,6,1,28,5,}, {28,3,30,1,28,3,30,2,28,1,29,1,28,1,30,1,29,2,30,1,29,2,30,3,28,1,6,1,28,4,29,2,30,1,28,1,6,1,7,1,6,1,7,1,28,5,30,1,29,1,28,5,6,1,9,1,8,1,6,1,28,9,30,1,13,1,8,1,30,1,28,6,7,1,13,1,29,1,6,1,30,1,28,2,30,1,28,8,6,3,28,42,30,1,28,1,6,1,30,1,6,1,13,1,6,1,12,1,14,1,10,1,30,1,28,3,29,1,13,1,14,1,30,1,6,1,29,1,6,1,13,1,8,1,7,1,29,1,13,1,28,9,29,1,7,1,24,1,6,1,28,6,9,2,24,2,7,1,6,1,7,1,13,3,6,1,7,1,8,1,15,1,12,1,8,2,6,1,28,1,29,1,30,1,6,1,28,1,6,1,28,35,29,3,15,1,8,1,7,1,28,5,13,1,24,1,13,2,24,1,13,1,6,1,13,1,7,1,6,1,29,1,30,2,28,1,6,1,28,1,29,1,28,2,7,1,29,1,6,2,30,1,8,2,10,1,7,1,10,3,9,1,28,15,13,1,28,47,6,1,28,1,29,1,30,2,28,1,13,2,28,1,7,1,28,1,6,2,30,3,28,1,6,2,28,1,13,1,28,1,29,1,30,2,7,1,13,1,30,1,28,1,30,1,6,1,29,2,30,1,28,1,30,3,28,1,7,1,6,1,29,1,13,1,6,1,29,2,30,2,28,2,13,1,30,1,29,1,6,1,30,1,6,1,28,1,29,1,30,1,6,1,30,1,28,1,30,1,29,1,6,1,30,1,6,2,28,1,30,3,29,2,6,1,30,1,6,1,29,1,7,1,6,3,29,1,28,1,6,1,29,1,28,4,30,2,8,1,30,2,28,2,29,1,8,1,30,1,13,1,6,1,29,2,30,1,6,1,13,2,29,1,13,1,8,1,30,1,28,1,30,1,29,1,28,1,30,1,6,1,30,1,28,2,29,1,30,1,28,1,29,1,28,1,30,1,28,1,30,1,6,1,30,1,6,2,30,1,6,1,13,1,30,1,13,1,28,3,29,1,28,3,6,1,28,2,29,2,30,1,28,1,30,3,7,1,6,1,13,1,9,2,16,2,11,2,17,1,16,4,11,1,16,2,10,1,17,1,11,2,9,1,11,3,9,1,11,1,9,2,16,1,9,3,11,1,9,5,11,2,9,1,11,2,9,1,11,1,9,2,10,1,11,1,9,2,12,1,9,1,10,1,11,1,9,1,10,2,11,1,9,5,11,1,9,1,11,1,9,2,10,1,9,3,11,1,13,1,10,1,13,2,8,4,7,1,9,1,11,1,8,1,13,1,8,2,29,2,28,19,29,1,17,1,12,2,17,3,11,1,16,1,17,1,11,1,17,1,9,2,8,1,9,1,13,1,12,1,10,1,13,1,9,1,10,1,13,1,9,1,13,1,9,4,12,1,24,1,11,1,9,1,29,1,28,4,6,1,30,2,7,1,28,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,8,1,6,1,7,1,30,1,6,1,30,1,29,2,30,1,28,2,30,3,28,1,7,1,30,1,29,1,13,2,7,1,13,1,6,1,7,1,29,1,28,3,30,1,28,1,30,1,28,2,30,1,6,1,30,1,6,2,29,2,6,1,30,1,28,1,30,1,29,2,28,1,13,1,6,1,30,1,6,1,28,1,6,1,29,1,6,1,28,1,29,1,6,1,29,1,28,3,29,1,28,1,29,2,6,1,30,1,28,1,6,2,30,1,28,1,6,3,8,1,13,3,8,1,13,1,30,2,28,172,13,2,9,2,11,4,16,1,17,4,11,1,17,2,12,1,17,3,11,1,13,1,10,1,17,13,11,2,9,2,8,1,11,1,8,1,13,1,8,1,13,3,9,4,11,3,9,1,11,2,9,2,16,1,11,1,16,1,9,1,11,1,16,1,9,1,11,1,9,1,16,1,17,1,9,1,7,1,28,4,13,2,7,1,13,1,9,1,13,1,8,1,9,1,6,1,7,1,6,1,30,2,6,1,29,1,30,1,28,1,30,1,28,1,30,2,28,1,29,1,30,8,6,1,30,1,7,1,30,2,6,1,29,1,30,2,28,1,30,1,28,4,6,1,30,1,28,1,30,2,29,1,6,1,30,2,29,1,30,1,6,1,28,1,30,2,6,1,30,4,6,1,30,1,6,3,30,1,6,1,30,5,6,1,30,2,6,3,29,1,30,2,6,1,28,1,6,2,30,4,6,1,29,1,30,2,6,1,30,5,28,1,30,1,28,1,30,2,28,2,30,2,28,1,30,2,6,1,9,1,8,1,30,1,6,1,30,1,28,1,29,1,30,4,28,1,30,1,28,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,28,1,30,3,28,9,30,1,28,1,29,1,30,1,28,4,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,4,29,1,30,1,6,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,6,29,1,28,1,30,3,28,1,6,1,30,9,28,1,30,3,28,1,29,1,30,2,28,1,30,1,28,1,30,4,6,2,30,3,28,1,30,4,28,1,29,1,28,1,30,2,6,1,28,1,6,1,30,2,28,2,30,1,28,3,30,1,28,1,30,2,28,2,30,2,28,1,30,1,28,1,30,2,28,1,30,3,28,1,30,1,6,1,30,1,13,4,6,2,28,1,30,1,28,2,30,1,28,2,29,1,30,1,6,1,30,1,28,1,6,1,28,1,6,1,28,1,30,5,28,1,30,3,28,1,30,3,6,1,28,1,30,5,28,2,6,1,30,1,28,1,6,1,30,1,29,1,30,1,28,1,30,2,6,1,30,6,6,2,30,4,29,1,30,3,28,1,30,2,29,1,6,1,30,3,6,2,30,2,6,1,30,2,6,4,30,1,6,1,30,1,6,1,13,1,6,1,30,1,6,2,30,1,6,4,13,1,6,1,13,2,9,1,13,2,6,1,30,3,13,2,6,1,13,2,6,1,13,1,6,3,30,1,6,1,28,1,6,1,28,1,6,2,30,3,28,1,6,1,30,1,6,3,30,1,28,1,6,1,28,1,6,1,30,7,28,1,30,2,6,1,30,2,28,2,30,3,6,2,30,1,29,1,30,2,6,2,30,1,28,1,29,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,6,1,30,1,28,1,30,3,28,1,30,6,28,1,30,2,13,1,8,1,13,1,11,1,9,1,8,1,17,1,9,2,17,2,9,2,10,1,11,1,9,2,11,1,10,2,12,1,17,1,24,1,9,2,24,2,10,1,8,1,9,1,8,1,24,2,8,1,13,1,24,1,9,1,11,2,9,1,11,1,17,8,11,1,17,3,12,1,8,1,10,1,24,1,8,1,24,1,8,3,24,3,8,2,13,1,28,6,6,1,28,1,8,1,24,1,7,1,29,1,6,1,30,1,29,1,13,2,12,1,10,2,17,6,12,1,9,1,29,1,7,1,24,2,29,1,30,1,13,1,7,1,6,1,29,1,30,1,28,2,30,1,6,1,13,1,28,1,30,1,8,1,10,1,17,1,10,1,17,1,12,1,8,1,28,3,6,2,28,1,30,1,6,2,28,1,24,1,8,1,13,2,7,1,25,1,29,2,30,1,7,1,30,1,29,1,30,1,29,1,30,2,28,1,29,1,7,1,24,1,10,1,12,1,17,5,12,1,9,1,12,1,10,1,9,1,24,1,12,1,10,1,24,1,12,1,10,1,12,2,10,1,24,1,12,1,17,1,10,1,17,1,12,1,10,1,12,3,9,1,10,1,9,1,17,1,12,2,9,1,12,2,8,1,17,1,12,4,17,13,8,1,30,2,6,1,28,2,30,10,6,1,30,6,28,2,30,1,28,1,30,1,28,2,6,1,28,1,30,9,29,1,30,2,6,2,30,3,6,1,30,1,6,1,28,1,6,2,30,2,6,1,29,1,28,1,30,4,6,2,30,4,6,1,30,2,28,1,30,2,29,1,6,1,30,4,28,1,6,2,10,1,17,1,12,1,8,2,24,1,25,1,8,2,25,4,27,2,26,1,30,1,25,4,7,1,25,1,6,1,7,1,30,1,6,1,28,1,30,1,7,1,29,1,25,1,6,1,29,1,6,1,7,1,6,2,30,1,6,1,29,1,6,2,7,2,13,1,6,1,7,2,13,1,29,1,6,2,30,1,6,2,29,2,6,2,29,2,7,2,13,1,7,1,10,1,24,2,13,1,10,1,13,1,24,3,8,1,24,3,8,1,10,1,25,2,12,1,25,1,12,1,8,1,24,1,8,1,24,1,8,2,25,1,8,3,25,1,8,1,25,3,24,1,26,1,25,1,8,1,24,2,8,2,13,1,24,1,10,2,24,1,10,2,12,1,8,1,24,2,12,2,10,1,12,2,17,1,12,2,9,1,12,1,24,3,7,1,8,3,24,1,17,1,24,4,10,1,12,1,24,1,10,1,12,1,10,1,17,1,10,1,17,1,10,1,8,1,9,2,12,1,9,1,13,1,30,1,29,1,28,1,7,2,13,1,30,1,28,24,30,2,7,2,29,1,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,1,6,2,7,1,6,1,8,1,9,2,17,1,9,6,24,1,9,1,11,2,12,2,10,1,17,3,12,1,11,1,13,1,11,1,9,1,8,1,9,1,8,1,9,2,16,1,9,1,13,1,8,1,13,1,30,1,6,4,30,3,28,2,30,1,28,1,6,6,13,3,17,1,9,1,17,1,11,1,9,1,13,1,10,1,9,1,30,1,7,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,7,1,6,1,9,1,13,2,11,1,13,1,8,1,29,1,13,1,7,1,13,1,7,1,13,1,8,1,9,1,8,1,9,1,28,1,13,1,6,1,9,2,11,4,9,1,13,1,11,1,8,1,9,4,8,1,9,2,11,2,17,1,9,3,10,1,11,2,17,1,16,1,10,1,16,1,11,1,9,1,11,1,9,1,11,1,8,2,13,1,9,1,13,1,9,3,11,1,9,1,8,1,13,3,7,1,13,2,8,1,9,1,13,1,9,1,10,1,9,1,17,2,12,1,17,3,24,1,8,1,24,4,6,1,8,1,7,1,8,1,24,1,8,1,24,1,8,2,10,1,8,1,10,1,9,1,10,1,12,1,17,7,12,1,17,1,10,1,9,2,7,1,13,2,8,1,13,3,8,1,13,1,9,1,13,1,6,1,13,2,8,1,13,1,9,1,10,1,13,1,9,2,13,1,6,1,8,1,16,1,13,4,9,1,8,1,9,1,13,2,8,1,9,1,8,1,16,1,9,3,11,1,10,1,13,1,28,2,6,1,28,1,6,1,28,8,9,1,11,1,17,1,10,1,9,1,12,1,24,1,8,1,29,1,6,1,29,1,13,1,30,1,29,2,6,1,30,1,6,1,30,1,6,3,29,1,13,1,8,1,7,1,9,1,13,1,24,1,28,7,6,1,13,1,12,1,8,1,24,1,13,1,28,34,6,1,10,1,15,1,28,2,30,1,28,1,24,1,8,2,7,1,29,1,28,3,29,1,6,1,13,1,8,1,10,1,24,2,13,1,6,1,28,4,6,1,13,1,24,1,6,1,28,3,30,1,28,1,7,1,12,1,13,1,10,1,15,1,17,1,9,1,13,1,8,1,24,1,8,1,6,1,28,1,24,1,17,1,8,1,28,3,6,1,24,1,9,1,29,1,28,48,6,1,12,1,8,1,29,1,28,5,}, {28,1,6,1,28,7,6,1,28,1,30,1,6,2,28,1,7,1,29,1,28,2,29,1,28,7,30,1,28,1,6,1,30,1,28,1,7,1,6,1,30,1,28,12,7,1,13,1,10,1,6,1,28,10,8,1,9,1,30,1,28,5,30,1,8,1,13,1,6,1,13,1,30,1,28,11,29,1,13,1,6,1,28,43,6,1,28,1,6,1,30,1,6,1,7,1,9,1,17,1,15,1,28,1,30,1,6,1,29,1,28,1,8,1,12,1,8,1,29,2,6,1,7,1,8,2,6,2,29,1,28,8,30,1,6,1,8,1,30,1,28,5,30,1,9,1,24,1,12,1,8,2,6,1,29,1,13,1,7,1,8,1,7,1,6,1,8,1,9,3,7,1,13,1,6,4,7,1,6,1,28,30,30,1,28,4,30,1,6,2,15,1,8,1,6,1,29,1,28,4,10,1,12,2,8,2,13,2,7,3,28,2,29,1,6,1,28,1,7,1,13,1,29,1,6,1,28,1,30,1,29,1,30,1,13,1,8,1,24,2,13,1,9,1,12,1,14,1,9,1,28,53,30,1,28,7,30,1,28,3,6,2,30,2,28,1,13,1,30,1,28,1,30,1,29,1,28,3,13,1,28,1,6,1,28,1,30,1,29,1,28,1,7,1,6,1,29,1,30,1,29,1,6,1,13,1,30,3,28,1,6,3,28,1,30,3,6,1,30,1,6,1,28,1,29,1,6,3,29,1,28,1,30,1,29,2,13,2,7,1,28,1,6,2,28,1,29,2,6,1,29,2,28,1,6,1,30,1,28,2,30,1,6,1,30,1,28,1,30,1,13,1,30,1,6,1,13,1,30,1,28,1,6,1,28,3,6,1,28,2,30,1,6,2,30,2,28,3,30,1,28,1,30,1,29,1,30,1,7,1,13,1,28,1,6,1,8,1,13,1,8,1,13,2,8,1,29,1,6,1,28,1,6,1,28,2,6,1,28,1,6,1,29,1,30,1,28,3,30,1,13,1,28,2,6,1,28,1,30,1,6,2,7,1,13,1,30,1,28,1,30,3,28,1,29,1,30,2,28,1,30,1,6,1,28,1,30,1,6,1,28,1,29,1,6,1,30,1,6,3,8,1,11,1,16,1,11,2,16,1,11,1,16,1,17,1,16,2,11,1,16,1,11,1,16,3,11,1,16,1,11,2,9,2,16,1,9,1,11,1,9,1,17,1,9,2,11,2,9,3,11,1,16,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,11,3,9,2,16,1,9,1,11,1,8,1,10,1,8,1,10,1,11,1,9,2,11,1,9,1,11,1,9,2,10,1,11,1,9,3,8,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,3,10,1,9,2,13,4,6,1,28,1,30,1,28,17,8,1,11,1,10,1,12,1,10,1,11,1,12,1,11,1,16,1,17,1,10,1,11,1,10,1,9,3,8,1,9,1,8,2,13,2,8,2,13,1,8,1,7,1,8,1,13,1,24,1,8,1,10,1,11,1,9,1,29,1,13,1,28,3,30,3,29,1,6,1,30,2,29,1,28,1,29,1,6,1,28,1,6,1,28,3,6,1,29,1,6,1,29,1,28,1,6,1,29,1,6,1,28,1,30,2,28,1,6,2,28,1,13,1,6,1,7,1,6,2,13,1,29,1,28,1,6,1,28,1,6,1,28,2,30,2,28,1,6,2,29,1,30,1,29,1,6,1,28,1,30,1,6,1,28,1,29,3,6,1,30,1,28,3,30,1,28,1,29,1,6,1,30,1,6,1,30,1,29,1,28,1,6,1,30,1,6,1,28,1,30,4,28,1,30,2,7,1,6,1,13,4,6,1,8,2,13,1,8,1,30,1,13,1,28,170,30,1,13,2,9,1,8,1,9,3,11,1,17,4,10,1,12,1,17,5,11,1,17,3,12,1,17,1,12,1,9,1,17,8,9,1,16,2,11,1,9,1,11,1,9,1,13,4,9,1,13,1,9,2,16,1,11,1,9,1,11,1,9,1,10,1,9,4,16,1,11,1,9,1,11,1,9,1,11,1,9,2,16,1,17,1,11,1,8,1,13,1,28,4,13,1,6,1,13,3,8,1,9,1,13,1,6,1,30,1,29,1,30,1,6,1,30,2,6,1,30,5,6,1,29,1,30,1,6,1,29,1,30,2,6,1,30,1,6,1,30,2,6,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,5,28,1,30,2,28,1,6,1,30,2,6,1,30,1,6,1,30,1,6,2,28,1,30,1,6,1,30,1,6,1,30,2,6,3,30,3,6,1,28,1,6,1,30,1,6,2,30,2,6,1,30,2,6,1,28,1,29,1,30,4,6,1,30,4,6,1,29,1,30,6,28,1,30,1,28,4,30,1,28,2,30,1,29,1,30,1,28,1,29,1,17,1,6,1,30,10,6,1,30,2,28,1,30,4,29,1,30,7,28,1,30,2,28,1,30,2,28,3,6,1,28,1,30,3,28,1,30,1,28,1,29,1,28,1,30,1,28,1,30,2,28,1,30,2,29,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,9,28,1,30,7,6,1,30,9,28,1,30,4,6,1,30,4,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,4,6,1,28,2,6,1,30,1,28,3,30,3,29,1,6,1,28,1,30,3,29,1,30,2,6,1,28,1,6,1,7,1,6,2,30,1,6,2,29,1,28,1,6,2,30,2,28,1,30,5,28,2,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,1,28,1,30,1,6,1,30,3,28,1,6,1,30,1,7,1,6,3,30,1,6,2,30,4,28,1,6,3,28,1,6,1,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,2,30,8,6,1,29,1,6,2,30,3,29,1,6,2,28,1,6,1,30,1,6,2,28,1,6,6,30,1,6,1,7,1,30,1,13,1,9,2,13,2,28,1,6,1,30,2,6,7,13,1,6,1,13,1,30,1,6,1,30,1,13,1,6,2,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,2,6,1,30,1,29,1,28,1,30,2,29,1,30,1,29,1,6,1,7,1,30,2,6,1,30,2,6,1,30,2,6,1,29,1,6,1,28,1,30,1,28,1,30,8,6,1,30,1,28,1,6,1,30,2,28,1,30,2,6,1,28,1,30,2,28,1,30,1,28,4,30,3,28,2,30,2,10,1,9,1,13,1,9,1,16,1,11,1,17,5,9,1,13,1,9,1,12,1,9,1,8,1,10,1,12,3,17,1,12,1,8,1,24,2,9,1,24,1,8,4,7,1,8,3,24,1,11,1,17,1,11,1,17,1,11,1,17,1,16,1,17,4,12,1,17,1,12,1,17,2,12,2,24,1,13,1,8,3,24,1,25,2,8,2,7,1,8,1,13,1,29,2,28,4,30,1,6,1,25,1,13,2,6,1,29,1,28,1,6,1,8,1,24,1,10,1,12,1,8,1,12,1,17,1,12,1,17,5,10,1,8,1,13,1,7,1,29,1,13,1,8,1,13,1,30,1,29,1,28,1,30,1,28,1,6,2,30,1,28,2,6,1,10,1,17,2,12,1,17,1,28,2,6,2,30,3,6,3,28,1,9,1,13,1,7,1,13,1,7,1,28,1,29,1,27,1,29,2,28,2,30,1,28,1,30,1,29,3,30,1,24,1,17,5,9,1,12,1,10,1,12,1,10,1,9,1,12,2,10,1,9,1,12,4,10,1,9,1,10,1,12,1,10,1,12,2,24,1,12,4,17,1,12,1,10,1,17,2,10,1,12,5,8,1,17,2,12,2,17,12,13,1,6,1,30,5,6,1,30,6,29,1,28,1,30,7,28,1,30,2,28,1,6,1,29,1,30,4,6,3,30,5,6,1,30,1,6,1,30,1,6,1,30,6,6,2,28,1,6,1,30,2,6,1,28,1,30,2,6,1,30,3,28,1,30,2,28,1,30,2,28,1,30,1,6,1,30,1,6,1,30,4,28,1,30,2,13,1,12,1,17,1,8,1,24,2,8,3,25,1,8,1,25,3,30,1,27,1,29,1,25,1,8,1,26,1,29,1,25,1,6,1,30,1,29,1,6,1,29,1,30,1,6,1,7,1,29,1,7,1,6,1,25,1,6,1,29,1,7,1,30,4,8,1,30,1,7,1,6,1,30,1,13,1,7,1,29,1,28,1,29,1,7,1,6,2,28,1,29,1,7,1,28,1,30,1,6,2,7,1,6,2,8,1,7,2,8,1,24,3,8,2,24,4,25,1,8,1,7,1,12,3,24,3,10,1,12,1,10,1,8,1,24,1,25,1,8,1,24,1,8,1,25,1,24,1,29,1,25,1,26,2,25,1,6,2,8,1,25,1,30,1,26,1,25,2,24,1,29,1,24,1,8,1,24,2,10,1,13,1,17,1,12,1,24,2,12,2,24,1,12,1,10,1,17,1,10,2,8,2,13,1,7,1,24,1,8,1,24,2,10,1,8,1,24,2,12,1,24,1,9,2,10,1,12,1,9,1,17,1,10,2,12,1,17,2,12,3,9,1,12,1,8,2,30,3,7,1,9,1,13,1,7,1,28,26,30,1,28,11,6,2,13,2,6,1,10,1,12,1,17,1,11,1,10,2,11,1,9,2,13,1,17,1,12,1,10,1,9,1,12,1,24,1,10,1,12,1,17,1,11,1,17,1,9,4,16,1,8,1,9,2,11,1,9,2,13,1,16,1,13,3,7,1,30,2,6,1,30,1,6,1,30,1,28,1,6,3,7,1,9,1,30,2,6,1,29,1,13,1,17,2,11,1,10,1,11,1,13,1,9,2,8,1,13,2,6,1,13,2,9,1,13,2,9,1,13,1,9,1,8,1,9,2,11,1,13,1,8,1,13,1,9,1,13,1,8,1,6,1,8,3,9,1,13,1,8,1,9,1,13,2,16,3,9,2,11,2,9,2,13,4,9,1,13,1,9,1,13,1,16,1,9,1,11,1,9,1,11,1,9,1,16,3,11,1,17,2,16,1,11,1,9,1,11,1,13,1,9,1,10,1,13,1,11,2,9,1,10,1,9,1,11,1,9,3,8,1,13,4,9,2,6,1,13,1,9,2,17,1,10,1,17,1,8,1,9,1,8,1,9,1,8,1,13,1,24,2,13,1,24,1,13,1,8,1,7,1,8,1,9,1,13,1,9,1,13,1,12,1,24,1,8,1,24,1,12,1,10,1,12,1,17,1,12,3,11,1,17,3,16,1,9,2,8,1,6,1,8,1,13,3,8,1,9,1,8,1,13,1,9,2,13,1,9,2,13,1,9,1,13,5,8,1,9,1,13,2,8,1,9,2,8,1,9,6,8,1,9,4,8,1,9,1,13,1,28,2,30,2,29,1,28,1,29,1,28,6,8,1,14,1,10,3,9,1,8,1,9,1,6,1,29,1,13,1,6,1,13,1,6,2,29,2,28,1,6,5,8,1,7,1,24,1,13,1,9,1,7,1,28,7,29,1,24,1,9,1,8,1,9,1,13,1,28,1,30,1,28,32,29,1,11,1,14,1,6,1,29,1,30,1,6,1,8,1,24,1,6,1,8,1,29,1,28,1,29,1,28,1,29,1,6,1,13,2,12,1,24,1,13,1,8,1,13,1,28,4,13,1,8,1,13,1,29,1,28,2,29,1,28,1,30,1,6,1,8,2,10,2,17,1,11,1,24,1,9,1,7,1,6,1,7,1,29,1,9,1,17,1,10,1,28,3,30,1,13,1,10,1,29,1,28,19,30,1,28,28,8,1,24,1,13,1,30,1,28,5,}, {28,7,30,1,28,2,6,1,30,1,28,1,30,2,28,2,30,1,28,1,30,1,28,8,30,1,28,18,29,1,13,1,17,1,29,1,28,9,29,1,13,1,24,1,29,1,28,6,6,1,7,1,8,1,13,1,28,1,30,1,28,10,29,1,11,1,6,1,28,43,29,1,28,1,29,1,7,1,13,1,24,1,10,1,14,2,28,1,29,1,28,1,29,1,28,1,9,2,7,1,13,1,28,1,8,1,6,1,13,1,8,1,13,1,6,2,28,7,30,1,28,1,7,1,13,1,6,1,28,5,29,1,8,1,17,2,9,1,13,1,7,1,8,1,13,1,8,1,13,1,8,1,7,1,13,1,15,2,24,1,8,1,30,1,6,1,29,1,6,1,29,1,6,2,28,33,30,1,6,1,30,1,28,1,6,1,24,1,9,1,7,1,28,4,30,1,24,1,12,1,24,2,13,1,7,1,6,1,13,1,6,2,30,3,8,1,6,1,7,1,13,1,28,1,13,1,28,1,6,1,29,1,28,1,6,1,30,1,6,1,13,1,7,1,10,1,24,1,17,1,9,1,28,66,29,1,6,2,7,1,30,1,6,1,28,1,30,1,6,2,13,1,29,2,28,1,6,1,28,1,6,1,28,1,6,1,28,1,6,3,28,1,30,3,7,1,28,1,7,1,29,1,30,2,28,1,29,1,30,1,6,1,28,5,30,1,28,2,30,1,6,2,30,1,7,1,30,1,28,1,29,1,6,1,30,1,6,1,28,1,30,1,6,1,30,4,13,1,30,1,6,1,29,1,30,2,28,1,6,1,28,1,6,1,28,1,29,1,28,2,30,1,6,1,28,1,6,1,28,1,7,1,28,1,6,1,30,1,6,1,28,1,6,1,29,1,28,2,30,1,6,1,30,1,6,2,30,1,13,1,7,1,6,1,30,1,7,1,6,1,9,1,13,1,9,1,29,1,30,3,6,1,28,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,1,29,2,30,1,13,1,7,1,6,1,13,1,29,1,28,1,8,1,30,1,28,2,30,1,29,1,28,2,30,1,28,2,6,2,29,1,30,1,6,2,30,2,13,1,28,1,13,1,9,1,10,1,11,1,16,2,17,1,16,1,17,1,16,2,17,1,16,3,11,1,10,1,16,1,11,2,9,1,11,3,9,1,10,1,16,1,10,1,16,1,11,1,16,1,11,1,10,1,11,1,9,1,10,2,9,1,16,1,9,1,11,1,9,2,16,1,11,2,8,1,16,1,9,1,11,1,9,1,11,1,10,2,11,2,13,1,9,1,13,1,9,3,11,2,9,2,13,1,11,1,8,1,9,7,13,2,8,2,13,1,8,1,9,1,8,1,6,1,13,2,29,1,6,1,28,2,30,1,28,16,8,1,9,1,17,3,11,2,12,1,17,1,12,1,17,1,9,1,24,1,8,2,9,1,13,1,8,1,13,2,8,1,6,1,8,1,13,2,8,1,13,1,6,1,24,1,13,1,9,1,13,1,8,2,11,1,6,1,28,5,30,1,28,1,6,1,30,1,28,1,30,1,6,1,28,2,30,1,28,1,7,1,13,1,30,1,28,1,30,2,6,1,28,1,29,1,30,1,28,2,30,1,28,2,30,1,6,1,29,1,30,1,29,1,6,1,29,1,6,1,13,1,6,1,30,1,6,1,28,3,6,1,28,3,29,1,30,1,29,1,30,1,13,1,29,1,13,1,29,1,28,1,8,1,30,1,28,1,6,1,29,1,30,2,6,1,28,2,6,1,28,1,29,1,6,1,30,1,6,1,29,1,6,1,28,2,30,2,28,1,30,2,6,1,30,1,29,1,7,2,30,1,13,1,29,1,7,1,30,1,13,1,7,1,8,2,9,1,8,2,29,1,13,1,28,168,6,1,9,1,13,2,8,1,13,1,9,2,16,1,17,5,11,1,12,2,17,2,9,1,10,1,17,5,11,1,17,8,9,2,11,1,16,1,11,1,9,3,13,1,9,1,13,4,9,1,11,1,9,2,11,1,9,2,11,2,10,1,11,1,9,5,8,1,11,2,9,1,16,1,17,1,9,1,28,5,30,1,13,1,6,1,13,1,8,1,6,1,9,2,6,2,13,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,2,6,1,30,2,28,1,30,1,29,1,30,1,6,1,30,2,6,1,30,4,28,1,30,1,28,1,30,1,6,2,30,1,28,1,30,1,28,1,30,2,28,2,30,4,6,1,30,1,6,1,30,5,6,3,29,1,6,1,28,1,30,3,6,1,30,1,6,1,30,7,6,2,30,4,7,1,30,5,28,1,30,4,6,1,28,1,6,1,28,1,30,4,28,1,30,1,6,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,13,1,16,1,28,1,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,4,28,1,6,3,30,1,13,1,28,1,30,3,28,1,6,2,28,1,30,1,28,2,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,4,28,1,30,1,28,1,30,1,6,1,30,2,28,1,6,1,30,2,28,1,30,4,6,1,28,1,30,1,28,1,30,1,6,1,28,2,30,4,6,1,30,1,28,1,30,1,28,3,6,2,30,1,28,1,29,1,28,1,30,1,28,1,30,6,28,1,30,3,28,1,30,2,28,1,6,3,30,2,28,2,30,1,28,1,6,1,28,2,30,5,28,1,30,1,28,2,29,1,28,4,30,3,28,1,30,1,29,2,30,3,28,1,30,2,28,1,30,4,6,2,30,1,6,1,30,1,6,2,13,1,6,1,30,1,13,1,6,2,30,4,28,2,6,1,28,1,30,1,28,1,6,1,28,1,30,9,29,1,30,3,28,1,30,1,6,1,29,2,6,1,30,1,29,1,30,1,6,3,30,1,6,1,30,2,6,1,30,2,6,2,30,3,6,2,30,2,6,1,30,3,29,1,30,3,28,1,30,1,6,1,30,2,6,1,29,1,6,1,29,1,6,1,30,2,28,1,6,1,30,4,28,1,29,1,28,1,30,1,6,1,29,1,30,5,6,1,30,1,13,4,6,2,13,1,30,2,6,1,30,1,29,1,6,1,13,3,6,1,13,1,6,5,29,1,6,2,29,1,30,1,6,1,29,1,6,1,30,2,6,1,30,4,28,2,30,2,28,1,6,1,30,2,28,2,30,1,28,2,30,2,29,1,28,1,30,6,6,1,28,1,30,2,6,1,30,5,6,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,8,28,1,30,1,6,1,9,1,16,1,11,1,9,4,10,2,11,1,9,1,13,2,8,1,11,1,9,2,24,1,11,1,9,1,10,1,17,2,10,1,12,1,9,1,10,1,24,3,8,5,24,1,13,1,10,1,12,1,17,1,11,1,12,1,17,7,12,1,17,4,12,1,8,1,24,2,8,5,25,2,8,1,24,1,7,1,8,1,28,2,30,1,28,2,30,1,6,1,8,1,24,1,7,1,30,1,28,2,30,1,6,1,8,1,9,1,12,1,6,1,17,7,12,1,8,3,13,1,8,1,9,1,24,1,8,1,6,2,29,1,6,1,28,1,30,1,6,1,24,1,28,3,10,1,12,1,17,3,28,1,6,1,7,1,13,1,7,2,30,2,6,1,13,1,28,1,13,1,24,1,6,1,7,2,29,1,7,1,30,1,27,1,29,1,28,2,30,1,29,1,28,3,6,1,30,1,24,1,17,4,24,1,12,1,9,1,12,2,24,1,12,1,10,1,12,1,9,1,12,1,10,3,12,1,9,1,13,1,12,1,17,1,12,2,17,1,12,1,17,1,12,2,9,1,17,2,12,1,24,1,9,1,17,1,12,1,10,1,12,1,10,1,12,1,9,2,10,2,12,2,9,1,17,10,8,1,6,1,28,1,6,1,28,1,30,2,6,1,28,1,30,5,6,1,30,3,28,1,30,1,28,5,30,2,28,2,30,2,28,1,30,1,28,1,30,8,6,2,30,2,6,1,30,1,6,2,30,1,6,2,28,1,6,1,30,1,6,1,30,2,6,2,28,1,30,1,6,1,30,1,29,1,30,1,6,3,30,1,28,2,6,2,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,2,8,1,12,2,8,2,6,1,7,1,25,1,27,1,8,1,25,2,26,1,24,1,25,1,26,1,27,1,29,1,27,1,8,1,7,1,29,1,6,2,30,1,6,1,29,1,6,1,28,2,6,2,25,1,7,1,6,1,29,1,6,2,7,1,29,1,25,1,29,1,30,1,28,1,6,1,30,1,29,1,7,1,6,1,7,1,30,1,29,2,28,1,29,1,30,1,6,2,29,1,6,1,29,1,8,1,6,1,13,1,7,1,13,1,8,3,12,1,8,1,24,1,13,2,12,1,24,1,8,1,7,1,10,1,24,2,12,1,25,1,12,1,24,1,12,1,8,1,12,1,24,3,8,1,24,1,25,2,24,1,25,2,8,1,25,1,6,1,26,1,25,1,26,1,25,1,24,2,8,1,25,2,24,5,17,1,24,2,12,1,24,3,10,1,12,1,10,1,17,1,9,1,24,1,17,1,12,1,6,2,8,3,24,2,9,1,24,1,10,1,24,2,8,1,10,1,12,1,10,1,9,1,12,1,24,1,10,1,9,1,12,1,9,1,12,1,10,4,9,1,10,1,17,2,10,1,30,2,28,1,30,1,6,3,13,1,30,1,28,36,6,1,7,1,13,1,8,1,9,1,11,1,12,1,9,6,17,2,24,1,12,2,9,1,12,1,17,2,11,1,17,2,11,1,9,1,8,1,9,1,13,1,9,2,16,1,9,1,11,3,9,2,13,1,6,1,13,1,28,3,30,1,28,1,29,1,6,1,28,1,6,3,9,1,7,1,13,1,8,1,9,2,11,1,17,1,16,1,17,1,8,1,9,2,11,1,8,1,6,1,11,1,13,1,8,1,13,2,9,2,8,1,13,2,9,1,11,1,13,2,9,1,13,3,9,1,8,2,6,1,9,3,13,1,9,1,13,1,8,1,9,1,11,1,9,1,16,1,9,1,8,1,11,1,10,1,9,1,8,1,9,1,13,1,9,2,8,1,9,1,11,3,9,3,11,2,16,2,11,1,9,2,11,2,9,1,16,1,9,1,10,1,13,1,9,1,11,1,9,1,13,1,8,1,9,3,11,1,13,1,9,1,13,1,9,1,13,4,11,1,8,1,9,2,17,2,11,1,9,1,11,2,24,2,7,1,17,1,13,2,6,2,13,1,8,1,29,1,8,2,13,1,24,1,8,1,7,1,13,1,8,2,10,1,12,2,17,1,9,1,17,3,12,1,9,1,17,2,16,2,6,1,13,1,8,1,13,1,8,1,9,1,13,2,9,1,13,1,9,2,13,2,9,3,8,1,13,1,8,1,13,2,9,1,10,1,13,1,9,2,13,1,9,2,13,1,9,2,10,2,11,1,9,1,8,1,11,2,10,1,9,1,16,1,13,1,28,3,30,1,29,1,28,7,29,1,10,1,14,1,9,2,15,1,12,1,8,2,6,1,8,1,13,1,6,1,13,1,7,1,6,1,29,1,6,2,7,1,28,1,29,2,7,1,13,1,7,1,24,1,13,1,8,2,28,7,6,1,11,1,9,1,8,1,24,1,13,1,28,34,29,1,9,2,29,1,28,2,13,1,24,1,9,1,8,1,7,1,6,1,30,1,28,1,29,1,6,1,29,1,10,1,8,2,9,1,8,1,13,1,28,5,7,1,24,2,29,1,28,2,29,1,30,1,6,1,13,2,9,1,15,2,12,1,9,1,24,1,13,3,29,1,8,1,12,1,17,1,8,1,28,3,6,1,8,1,24,1,30,1,28,17,30,1,28,3,30,1,28,26,6,1,14,1,24,1,30,1,28,5,}, {28,6,30,3,28,5,30,3,28,24,29,1,30,3,28,2,29,1,13,1,9,1,8,1,28,9,30,1,8,2,6,1,28,6,13,1,24,1,7,1,29,1,30,1,28,11,7,1,11,1,13,1,28,42,30,1,29,1,28,1,6,1,8,1,7,1,6,1,15,1,12,1,24,1,28,2,30,2,6,1,13,1,15,1,7,1,28,1,29,1,6,2,24,1,8,1,6,1,7,1,28,1,30,1,28,7,29,1,8,2,13,1,28,5,30,1,12,2,17,1,24,1,8,1,24,1,8,1,6,1,24,1,8,1,24,2,9,1,14,1,15,2,13,1,30,1,6,2,29,1,6,1,29,1,28,37,13,1,30,1,24,2,8,1,28,5,24,1,9,1,8,1,13,2,7,1,13,1,8,1,30,1,29,2,6,1,29,1,28,1,6,2,7,1,28,1,30,2,7,1,6,2,29,1,6,1,13,1,8,1,7,1,9,1,10,1,14,1,10,1,30,1,28,46,30,1,28,8,29,1,28,9,6,1,28,1,6,2,30,1,29,1,28,2,6,1,30,1,6,2,29,1,6,1,28,1,6,1,29,1,6,1,7,1,28,1,13,1,30,2,29,2,6,4,30,3,6,2,28,2,13,1,28,2,29,1,30,2,6,1,28,1,6,1,30,1,28,1,6,2,29,1,30,1,6,2,28,1,30,1,6,1,30,3,29,1,6,2,30,1,7,1,28,1,6,1,30,1,29,1,30,2,6,1,28,1,6,1,30,2,7,1,30,2,6,1,13,1,29,1,30,7,6,1,28,1,7,1,28,2,30,1,6,1,30,2,7,1,13,1,6,3,13,1,7,1,6,1,13,1,7,1,6,1,30,1,6,1,28,1,13,1,28,1,30,1,28,2,30,1,28,1,30,1,28,3,30,1,6,1,28,1,30,2,7,1,29,1,13,1,28,1,7,1,30,1,28,1,29,1,30,1,6,1,29,1,28,4,30,4,29,1,6,1,30,2,29,1,30,2,6,1,30,1,13,1,8,1,11,3,16,5,17,1,11,1,16,3,11,3,9,1,10,1,9,3,11,2,9,4,10,1,9,1,16,1,11,2,9,1,8,1,9,1,11,2,10,1,9,1,16,1,9,1,11,1,9,1,11,1,13,1,11,1,9,1,11,1,9,1,10,2,9,2,11,1,9,2,11,1,9,3,11,1,9,3,8,1,10,1,8,1,9,1,11,1,9,4,13,1,9,2,13,3,9,2,7,1,6,1,13,2,28,21,10,2,12,2,10,1,16,1,10,1,17,1,11,1,9,3,24,1,9,1,13,1,8,2,13,5,8,1,13,1,7,1,6,1,13,1,7,1,13,1,7,1,9,1,13,1,8,2,11,1,8,1,6,1,28,4,30,2,29,1,30,1,29,1,28,1,6,1,28,1,29,1,28,3,29,2,6,1,28,1,29,2,28,1,6,2,29,1,28,1,29,1,28,3,30,1,13,1,7,1,28,1,30,1,6,1,30,1,13,1,30,1,29,2,28,1,30,2,28,3,6,1,30,1,6,3,30,1,7,1,6,2,7,1,8,1,7,1,13,1,30,1,29,1,30,2,6,2,13,1,6,1,29,1,30,1,29,2,6,2,30,1,28,2,30,1,29,1,28,2,29,1,30,3,6,2,13,1,7,1,13,1,8,1,13,1,8,1,29,1,7,1,8,1,7,1,13,1,8,2,13,2,6,1,29,1,28,164,6,1,13,5,9,1,11,1,9,1,11,1,16,1,17,4,16,1,9,1,17,1,12,2,9,1,8,1,11,1,9,1,17,1,16,1,17,10,11,1,10,1,16,1,17,1,11,1,9,2,13,4,6,1,13,3,9,1,11,2,9,2,10,1,9,2,11,1,9,5,11,1,16,1,9,2,16,1,17,1,16,1,13,1,30,1,28,4,13,1,30,2,13,3,9,1,13,3,6,1,30,6,6,1,30,2,29,1,6,3,30,1,28,1,29,1,6,2,28,1,30,2,29,2,7,1,30,1,28,1,30,2,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,4,28,2,30,1,6,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,6,4,30,3,6,1,29,1,28,1,6,1,28,1,6,1,28,1,30,2,6,1,28,1,30,5,6,1,28,1,30,2,6,1,30,1,6,1,30,1,6,1,29,2,30,7,28,2,30,7,16,1,6,1,28,1,30,1,28,2,30,1,28,2,30,1,29,1,30,1,6,1,30,5,28,1,30,2,28,1,30,1,6,1,30,2,28,1,30,2,29,1,30,1,28,1,30,3,28,1,30,3,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,29,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,29,1,30,1,28,2,30,3,6,1,30,3,6,1,30,2,28,1,30,1,6,1,28,1,30,2,28,2,6,1,30,2,28,1,29,1,30,2,28,1,30,1,28,1,30,1,29,1,30,5,6,1,28,1,6,1,13,1,30,2,29,1,28,2,30,2,28,2,30,2,28,1,30,3,28,1,30,1,28,1,30,1,28,7,29,1,28,1,30,1,6,1,30,1,6,1,29,1,28,1,30,2,28,2,6,2,30,4,6,1,30,1,13,1,6,2,30,1,13,1,6,1,30,1,13,1,6,1,30,1,6,1,28,1,29,1,30,1,13,1,6,1,30,3,28,1,6,1,30,1,28,1,30,1,28,1,30,1,28,1,30,5,29,1,6,1,29,1,6,1,29,1,30,1,29,1,30,1,6,3,28,1,6,2,28,1,6,1,29,1,6,1,30,1,28,1,30,1,6,3,30,1,29,1,30,1,28,1,30,1,28,1,30,2,28,2,30,7,6,3,28,1,6,1,13,1,6,1,30,1,6,1,30,5,29,3,6,2,28,2,6,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,8,1,9,1,6,1,13,1,28,1,30,1,6,1,28,1,30,1,6,1,30,1,6,2,30,1,6,1,7,1,6,3,7,1,30,3,6,1,30,1,6,1,30,4,6,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,29,1,6,1,29,1,28,2,30,4,28,1,30,2,28,1,30,1,28,1,6,1,30,2,28,1,30,2,6,2,30,1,6,1,30,1,28,1,6,1,28,1,6,1,28,1,30,1,28,3,30,1,28,1,30,8,6,1,30,1,6,1,28,2,7,1,17,2,12,1,9,3,11,2,16,1,12,1,17,1,8,1,13,1,8,1,24,1,9,1,8,1,9,1,10,1,9,2,11,1,12,2,9,1,8,3,13,1,7,1,6,1,13,2,8,1,24,2,8,2,12,4,17,1,12,1,17,5,11,1,17,1,12,1,17,3,8,1,13,1,24,1,8,1,7,1,8,1,25,2,8,1,25,1,24,2,13,1,8,1,29,1,7,1,6,2,29,1,7,1,8,1,13,1,8,1,7,1,30,1,28,3,6,1,7,1,24,1,12,1,6,1,8,1,17,6,12,1,24,1,7,1,13,1,8,1,24,1,9,1,13,2,29,1,30,1,6,1,30,1,6,2,29,1,10,1,28,1,30,1,29,1,8,1,12,1,17,3,13,1,6,1,30,1,13,3,6,1,30,2,13,1,28,2,24,2,7,3,13,1,30,2,29,1,30,1,28,6,30,1,7,1,12,1,17,4,12,1,17,1,10,1,9,1,17,1,12,1,10,2,17,1,24,1,12,3,10,1,12,6,17,1,12,1,17,1,12,3,9,1,17,1,12,2,17,1,9,1,10,1,12,3,10,1,12,3,17,1,9,2,10,2,17,10,11,1,30,1,28,1,30,1,28,1,30,1,6,2,28,1,30,2,29,1,30,1,29,1,30,3,28,1,30,1,28,7,30,1,28,1,30,3,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,6,1,30,2,28,1,30,1,6,1,30,2,6,1,30,6,7,1,30,1,29,1,30,8,6,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,30,2,28,3,6,1,8,1,17,1,9,1,13,1,8,1,25,2,6,1,25,2,24,1,27,1,8,1,27,2,8,1,25,1,29,1,25,1,27,1,7,2,29,1,6,3,30,1,7,1,25,1,8,1,6,2,24,1,6,2,25,1,6,2,29,2,28,1,29,1,6,1,28,1,29,1,6,1,28,1,7,1,29,3,6,1,30,1,13,1,7,1,6,1,7,1,30,1,8,1,6,2,8,1,7,2,6,2,13,1,24,2,8,1,12,1,13,1,7,1,13,1,8,2,7,1,12,1,8,1,24,4,8,1,24,2,8,1,24,1,10,1,24,1,25,1,24,1,25,1,24,1,8,4,27,1,25,3,24,1,8,1,25,1,24,1,25,2,24,1,25,1,7,1,8,2,6,1,24,2,8,1,17,2,24,1,12,1,10,2,12,1,17,1,24,1,12,1,17,1,24,1,6,3,8,1,7,1,8,1,24,1,13,2,24,1,13,1,24,2,8,1,24,1,12,1,8,2,10,2,12,1,10,1,12,1,17,1,12,1,10,1,17,1,10,1,12,1,11,1,12,1,24,1,11,1,12,2,13,1,28,1,30,2,29,1,30,1,13,3,6,2,28,32,29,2,13,1,7,1,13,1,11,1,17,1,11,1,24,1,9,1,10,2,9,1,17,1,12,1,17,1,10,1,11,1,10,1,17,3,9,1,17,1,11,1,17,1,11,2,9,1,8,1,17,1,10,1,8,1,9,2,16,1,9,1,11,1,8,1,9,3,13,1,7,1,30,1,28,1,6,1,13,1,30,2,13,2,8,1,13,4,10,1,8,1,13,1,16,1,17,3,16,1,9,2,11,1,13,2,9,3,30,1,9,1,8,1,9,1,13,2,9,2,6,1,9,2,13,2,8,1,9,1,13,1,6,1,10,1,13,2,8,1,13,2,9,1,28,1,9,1,11,3,10,1,11,1,9,1,8,2,10,1,8,1,13,1,9,1,11,1,13,1,9,1,13,1,8,1,16,2,11,2,9,1,16,2,9,1,11,1,9,1,11,2,8,1,11,2,8,1,9,3,10,1,16,1,9,1,8,1,11,2,9,3,8,1,13,2,9,2,13,1,9,1,8,1,6,1,16,1,9,1,11,1,12,2,17,1,24,1,8,2,13,2,24,2,8,1,13,1,29,1,6,1,7,3,8,1,7,1,24,1,7,1,8,1,24,1,13,3,24,2,12,1,9,1,17,1,12,3,11,1,17,4,12,1,9,1,13,1,9,2,13,1,9,2,8,1,9,1,13,2,9,4,8,1,13,2,10,1,13,2,10,1,9,1,13,1,11,1,13,1,8,3,9,2,8,1,9,1,10,2,13,1,8,1,11,2,9,1,16,1,11,1,9,2,28,2,13,1,6,2,28,2,30,1,28,4,30,1,11,1,14,1,9,3,10,1,8,3,7,1,6,1,29,1,30,1,6,1,28,1,13,1,30,1,6,1,30,1,13,1,29,1,13,1,7,1,13,1,24,1,9,1,12,1,24,1,6,1,28,6,30,1,6,1,24,3,8,1,30,1,28,33,30,1,8,1,9,1,10,1,13,1,28,2,30,1,10,2,8,1,6,1,28,2,29,1,6,1,7,1,30,1,7,1,13,1,8,1,9,2,8,1,28,5,8,2,24,1,28,1,30,1,28,1,29,2,28,1,6,1,8,1,9,1,14,1,12,2,10,1,17,1,9,1,8,1,6,1,13,1,9,1,17,1,11,1,9,1,28,3,30,1,24,1,13,1,29,1,28,18,30,1,28,30,9,1,24,1,28,6,}, {28,9,30,1,29,1,28,1,30,3,28,2,30,1,28,19,30,1,28,2,29,1,30,1,29,2,28,2,30,1,28,1,8,2,6,1,30,1,28,7,30,1,29,1,7,1,15,1,29,1,28,5,30,1,13,1,24,1,6,1,13,1,28,12,7,1,9,1,13,1,28,44,30,1,6,1,13,1,6,2,9,2,15,1,30,1,28,1,30,1,28,1,6,1,24,1,15,1,7,1,28,2,29,2,13,2,30,1,13,1,30,2,28,7,6,1,13,1,7,1,8,1,28,6,10,1,12,1,17,1,8,1,13,1,24,1,13,3,9,1,8,1,24,1,9,2,15,1,8,1,6,1,30,1,29,2,30,1,13,1,7,1,28,32,30,1,28,1,29,2,28,1,30,1,6,1,24,1,9,1,13,1,28,5,13,1,10,1,9,1,10,1,24,1,8,1,13,1,6,2,28,1,6,1,28,1,6,1,7,1,6,1,28,1,6,1,28,1,6,3,7,1,29,2,13,2,7,1,13,1,10,2,14,2,30,1,28,63,30,2,28,1,29,1,6,1,28,1,30,1,13,1,6,1,30,2,6,1,28,1,29,1,6,1,13,1,6,1,30,3,6,1,28,1,6,1,30,3,7,1,6,1,30,4,6,1,30,1,6,1,28,2,30,1,6,1,28,1,30,1,28,1,6,1,28,1,6,1,28,1,6,1,7,1,13,1,30,1,6,2,13,1,6,3,28,1,30,3,6,4,28,1,30,1,29,1,6,3,30,1,29,1,7,1,30,1,6,1,30,1,7,1,28,1,13,1,30,1,6,2,30,3,28,3,6,3,28,1,6,1,30,1,28,1,30,1,28,1,30,1,6,2,7,1,29,1,6,1,29,1,13,1,6,1,8,1,7,1,13,1,7,1,30,1,6,1,28,2,30,2,28,3,30,1,28,5,6,2,30,1,13,1,6,1,30,1,6,1,28,1,30,1,6,1,29,1,28,1,30,2,28,1,29,1,28,2,30,3,28,1,7,1,6,2,13,1,30,2,7,1,29,1,6,1,28,1,30,1,8,1,9,1,11,1,17,2,16,6,10,1,11,4,9,1,10,1,16,1,9,2,8,1,11,1,10,1,11,1,10,1,9,3,11,3,9,1,16,1,9,3,11,1,9,1,11,2,13,1,11,1,9,2,8,1,10,2,8,1,9,1,11,1,8,1,9,2,8,1,9,4,11,2,8,1,9,3,11,1,9,4,13,1,9,2,8,1,9,1,13,7,8,1,6,1,13,1,7,1,6,1,28,20,24,1,11,1,12,1,11,3,10,1,9,3,8,1,9,1,6,1,24,1,8,1,7,1,8,1,7,1,8,1,13,1,6,1,13,1,6,1,13,2,7,1,13,2,6,1,7,1,28,1,6,3,8,2,10,1,6,1,28,1,30,1,6,1,28,1,30,2,29,1,28,3,30,1,6,3,30,1,6,3,30,1,28,1,30,1,6,1,28,3,6,1,28,2,30,1,7,1,28,1,6,1,30,2,6,1,30,1,28,1,7,1,6,1,28,3,30,1,28,2,29,1,30,1,6,1,28,1,29,1,28,1,6,1,13,1,29,1,6,1,30,1,28,1,13,2,30,1,7,1,28,1,6,1,30,3,6,1,28,1,6,1,29,3,28,2,30,1,28,1,30,1,29,1,30,1,28,2,29,1,28,3,29,1,28,1,7,1,28,1,7,1,6,1,30,1,6,1,13,1,8,1,29,1,13,1,8,1,13,1,6,1,9,1,13,1,8,1,7,1,30,1,28,163,13,6,9,1,11,2,17,1,16,2,12,1,17,3,12,1,9,1,12,1,9,2,16,1,13,2,9,3,17,2,11,1,17,3,11,2,13,1,9,1,16,2,11,1,10,1,9,2,8,1,13,3,8,1,13,3,9,2,16,2,11,1,9,1,11,1,13,1,9,7,11,1,16,3,17,1,11,1,13,1,28,5,29,1,6,1,13,4,9,1,13,1,6,1,13,1,30,1,6,3,30,1,6,1,29,1,30,2,6,1,30,3,6,1,28,1,29,1,6,1,30,5,28,1,29,1,30,2,6,1,30,1,6,1,29,1,28,1,30,2,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,4,28,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,6,1,30,1,28,2,30,1,28,1,29,1,30,2,28,1,6,1,28,1,30,5,28,1,6,1,30,15,29,1,30,2,29,1,30,3,6,1,29,1,30,1,28,1,30,4,28,1,6,1,30,1,6,1,16,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,4,28,2,6,1,28,1,30,2,28,2,30,2,28,1,30,5,6,1,28,1,30,1,28,1,30,6,28,1,29,1,28,1,30,1,28,1,30,3,6,1,28,1,30,2,6,1,30,1,29,1,6,1,30,1,28,1,6,2,28,2,30,1,28,1,30,2,28,1,30,2,6,1,28,1,6,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,6,1,29,1,6,2,30,2,28,1,7,1,6,1,30,6,6,1,30,2,29,1,13,2,30,1,28,1,30,2,28,4,30,4,29,1,28,2,30,1,28,2,30,1,28,1,30,1,6,1,30,2,28,1,30,3,29,3,30,1,6,1,30,1,6,2,30,3,6,1,30,1,29,2,30,1,28,1,6,1,30,3,6,1,30,1,6,1,13,1,6,1,30,4,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,1,29,1,30,3,6,1,30,3,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,28,1,6,2,30,5,6,2,29,1,30,2,6,1,30,3,29,1,28,1,30,3,29,1,30,1,28,1,30,1,6,1,30,1,6,4,13,2,6,1,30,1,6,2,30,1,29,1,30,5,29,1,30,1,29,1,30,2,6,2,30,1,6,1,29,1,30,1,13,1,8,1,7,1,6,2,7,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,6,2,13,1,6,5,28,1,6,4,13,1,6,3,30,1,6,1,30,2,6,1,30,3,6,1,28,1,30,1,28,1,6,3,28,1,30,1,28,1,30,2,6,1,28,3,30,1,28,1,30,2,28,1,6,1,30,7,28,1,6,1,30,2,6,1,28,1,6,1,28,1,30,2,6,1,30,3,28,1,30,5,28,1,29,1,30,1,6,1,30,1,28,1,6,1,17,1,12,1,7,1,13,1,9,2,8,1,10,1,17,1,9,1,11,1,9,1,13,4,10,1,12,1,9,1,12,1,8,1,12,1,10,1,9,1,8,1,9,1,13,1,6,1,13,1,6,1,13,2,8,2,24,2,8,1,24,1,9,1,10,1,11,1,12,1,17,7,11,1,12,1,17,3,12,1,10,1,13,1,8,1,6,1,8,1,6,1,26,1,7,1,8,2,27,1,6,1,25,1,8,1,25,2,8,1,13,1,7,1,6,1,13,2,24,1,10,1,7,1,28,4,6,1,24,2,8,1,13,1,17,6,9,1,8,2,9,1,12,1,24,2,8,1,13,1,8,2,13,2,6,3,7,1,29,3,6,1,24,1,17,4,6,3,13,1,7,1,6,1,30,1,6,3,28,1,9,1,8,1,7,1,29,3,30,1,29,1,6,1,28,1,30,1,28,5,29,1,17,4,12,1,9,1,17,1,12,3,10,3,12,2,9,1,10,1,12,1,24,2,17,1,9,1,12,1,10,1,12,1,10,1,12,3,17,1,12,1,10,1,17,2,9,1,10,2,12,3,8,1,17,1,12,1,9,1,12,1,8,1,9,1,12,1,9,1,17,13,28,1,29,1,30,1,28,1,30,1,6,2,30,1,6,1,30,1,6,1,30,5,28,6,30,2,28,2,30,1,28,3,30,1,28,2,30,5,6,2,13,1,30,1,29,1,28,1,30,1,6,2,28,1,6,1,30,1,6,1,30,1,29,1,6,2,30,1,29,1,28,1,30,1,28,1,6,1,30,7,28,1,30,4,6,1,30,3,6,1,30,2,28,1,30,1,6,1,17,2,9,1,8,3,6,1,27,1,6,1,29,1,8,2,25,1,29,1,27,1,30,1,27,1,29,1,25,1,8,1,6,4,30,1,29,1,7,1,29,2,6,1,7,1,6,1,29,1,13,1,29,1,8,1,28,1,25,1,30,1,28,1,8,1,30,1,28,1,30,1,28,1,6,3,30,1,29,2,6,1,29,1,28,1,6,1,29,1,7,1,29,1,6,1,7,1,6,1,7,1,8,1,24,1,13,1,8,1,24,1,8,2,6,1,24,4,8,3,24,5,12,1,24,7,26,1,8,2,24,4,25,4,8,1,25,1,8,2,25,2,8,2,6,1,24,1,25,1,8,1,10,1,24,4,12,1,24,1,12,1,24,1,12,1,10,1,17,2,10,2,8,1,13,1,6,1,13,1,6,2,25,1,8,1,24,1,8,1,9,1,24,2,10,1,12,1,8,1,24,1,12,1,9,1,24,1,13,1,8,1,9,2,11,1,17,1,12,1,17,1,12,2,10,1,11,1,12,2,11,1,12,1,17,1,10,1,13,1,28,4,7,1,29,1,6,1,13,3,28,30,30,1,6,1,29,1,13,1,8,1,17,1,11,1,8,1,9,4,11,1,12,2,11,1,24,1,10,2,11,1,12,1,17,2,9,1,11,2,9,2,11,1,9,2,13,1,9,3,16,1,9,1,11,2,9,1,8,1,9,1,13,4,8,1,13,1,29,1,30,1,13,2,7,1,13,1,9,3,16,1,11,1,16,3,17,1,16,1,11,1,9,1,13,1,11,1,9,2,13,1,8,1,13,2,9,1,8,1,13,2,9,1,8,1,9,1,8,1,13,1,7,1,13,2,8,1,13,2,8,1,6,1,8,3,9,1,13,2,9,5,11,1,9,1,11,2,8,2,13,1,9,5,11,2,17,1,10,1,16,2,9,1,11,2,16,1,11,1,16,1,11,1,9,1,8,1,11,3,13,1,16,1,9,1,16,1,11,1,8,1,9,2,13,1,17,1,13,2,11,1,13,1,8,1,9,1,13,5,9,1,11,1,17,1,12,1,9,1,11,1,12,1,24,1,9,1,24,1,7,1,13,2,6,1,13,1,6,2,30,1,8,1,7,1,13,1,7,1,6,1,8,1,7,1,6,1,13,1,8,1,13,1,12,1,24,1,17,1,13,1,12,1,24,1,10,1,17,2,12,1,17,5,13,2,9,3,13,1,9,1,8,2,13,2,9,1,11,1,13,1,9,1,16,2,9,1,11,1,8,1,13,1,8,2,9,3,13,2,8,2,11,1,8,2,16,1,9,1,11,2,9,1,11,1,9,2,16,1,9,1,28,2,30,1,6,1,30,1,28,2,30,1,28,5,24,1,15,1,14,1,9,1,12,1,6,1,13,1,8,1,13,1,6,3,29,1,13,1,28,1,7,1,6,3,13,1,29,1,30,1,6,1,13,1,8,1,13,1,24,1,9,1,13,1,28,5,30,3,10,1,9,1,8,1,7,1,6,1,28,34,13,1,10,1,24,1,13,1,30,1,29,2,15,1,8,1,24,1,7,1,28,1,30,1,28,2,13,2,8,2,24,1,10,1,9,1,8,1,28,5,29,1,8,1,13,1,29,1,30,1,28,1,29,3,13,1,8,1,24,1,14,1,12,1,14,1,17,1,9,1,8,1,6,1,8,1,13,1,8,1,11,1,12,1,10,1,28,3,13,1,8,1,13,1,28,49,13,1,9,1,24,1,6,1,28,5,}, {28,12,30,1,6,1,28,23,13,1,29,1,8,1,13,1,6,2,29,2,28,3,30,1,8,1,13,1,28,9,30,1,8,1,15,1,6,1,28,5,29,2,8,1,7,1,6,1,7,1,28,11,7,1,13,2,28,44,6,1,29,1,13,1,6,1,13,1,24,1,14,1,15,1,30,1,28,1,30,1,6,1,30,1,8,1,12,1,9,1,30,1,13,1,29,1,30,1,6,1,7,1,29,1,13,1,29,1,30,1,28,4,30,1,28,2,6,1,24,2,7,1,28,6,13,1,10,1,8,1,13,1,8,1,13,1,24,1,8,3,24,1,8,1,15,1,9,2,24,1,13,1,6,1,30,1,29,1,28,1,13,2,28,34,30,1,28,1,30,2,6,1,10,1,9,1,8,1,29,1,28,1,29,1,28,2,24,1,12,2,8,2,9,1,6,2,7,1,30,1,28,1,6,1,30,1,6,1,13,1,29,1,13,1,6,1,28,1,6,1,30,1,29,1,13,1,30,1,29,1,8,1,13,1,24,1,9,1,15,1,14,2,30,1,28,61,30,2,28,2,30,1,28,1,30,1,28,1,6,1,29,1,28,1,30,1,28,2,6,1,30,3,6,1,30,1,6,1,28,1,6,1,13,1,6,1,30,1,28,2,7,1,28,1,13,1,6,1,28,1,30,1,28,5,29,1,30,2,28,1,30,1,6,1,28,3,7,1,30,1,7,1,28,2,13,1,7,1,30,1,6,1,28,1,6,1,28,1,30,1,29,1,6,3,28,1,6,1,30,2,28,1,30,1,13,1,6,1,30,1,6,1,28,2,6,1,30,2,13,1,28,1,6,1,30,1,6,4,13,1,28,1,30,1,28,1,29,1,30,3,28,1,6,1,30,1,29,3,30,1,29,1,30,1,13,1,6,2,13,1,9,1,13,2,6,1,28,1,29,1,6,1,30,2,29,1,28,1,6,1,28,3,29,1,28,1,30,2,28,1,6,2,30,2,29,2,6,1,13,1,6,2,29,2,28,6,30,1,6,1,29,1,7,1,6,3,28,1,29,1,28,1,6,1,28,1,6,2,7,1,11,2,17,1,16,1,17,1,16,2,11,1,16,2,11,3,17,1,9,1,11,3,9,2,11,2,9,1,16,1,9,1,11,3,10,1,9,1,11,1,9,1,11,3,9,1,11,1,16,1,9,2,10,1,8,1,9,1,8,1,13,1,9,3,8,1,9,1,8,1,9,2,11,1,9,1,11,2,9,1,11,2,9,3,8,1,9,1,11,1,9,1,8,1,9,5,6,1,13,2,29,1,13,2,7,1,6,1,7,1,13,1,6,1,28,21,9,2,11,1,8,1,12,2,11,1,10,2,9,2,24,1,8,1,13,1,30,1,8,1,7,1,13,1,8,1,29,2,13,1,6,2,13,1,6,1,7,1,6,1,13,1,7,3,28,1,13,1,8,1,6,1,13,1,7,1,29,1,6,1,8,1,28,1,30,1,6,1,29,1,13,1,30,1,6,1,29,1,28,1,30,3,28,1,6,1,29,1,28,2,30,1,6,1,28,1,6,1,30,1,28,1,6,1,7,1,6,1,28,2,29,1,28,1,13,1,30,5,28,2,30,1,28,2,29,1,30,1,29,1,7,1,30,1,7,1,29,1,7,1,29,1,6,3,29,1,7,2,30,1,7,1,6,1,29,1,28,1,6,1,28,1,30,1,6,1,30,3,29,1,28,3,7,1,6,1,28,3,30,1,28,1,30,1,28,1,30,1,29,1,30,1,7,1,30,1,13,1,6,1,7,1,13,1,6,2,7,1,30,1,13,1,30,1,13,1,6,1,13,1,8,1,7,1,8,1,29,1,7,1,28,160,30,1,7,1,13,3,6,1,8,1,13,1,11,2,16,1,11,1,17,1,16,2,17,3,12,1,16,1,8,1,10,1,11,1,9,1,13,2,9,2,11,1,9,3,11,1,9,1,11,1,9,2,17,2,11,1,10,1,13,1,9,1,7,1,6,2,13,2,9,1,13,2,9,2,16,1,9,1,10,2,11,1,8,1,11,1,9,7,17,1,16,2,17,1,13,1,30,1,28,6,6,1,13,2,7,1,6,1,13,1,8,1,13,2,6,2,7,1,6,1,30,3,6,1,30,1,6,1,30,1,6,3,28,1,30,1,6,1,30,1,6,1,28,1,6,1,30,4,6,1,30,3,29,1,28,1,30,1,28,1,30,3,6,1,30,1,28,1,6,1,28,1,30,2,6,1,30,4,28,1,30,6,6,1,28,1,30,2,28,1,30,1,28,1,6,3,30,2,6,1,28,1,30,3,6,1,30,1,28,1,30,7,29,2,30,8,13,1,30,3,28,1,30,1,28,1,6,1,30,2,29,1,30,4,6,1,9,1,8,1,30,2,28,1,30,1,28,1,29,1,6,1,28,1,6,1,30,4,29,1,30,5,28,1,30,5,28,2,30,3,29,1,28,2,30,1,28,1,30,5,28,2,30,2,28,2,30,1,29,1,30,5,28,1,30,2,28,1,30,3,28,1,30,1,28,2,30,1,28,3,30,1,6,1,30,1,6,1,30,2,6,1,28,1,30,3,28,1,30,5,6,4,29,1,28,1,6,1,28,1,13,1,30,1,29,1,6,1,30,2,13,1,30,1,13,3,28,1,29,1,6,1,30,7,6,1,30,3,28,1,30,2,6,1,28,1,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,2,30,3,6,1,30,2,6,1,30,1,29,1,30,1,28,1,30,4,28,1,30,1,28,1,30,1,6,1,30,1,6,4,13,1,30,1,29,1,30,3,6,2,30,1,6,1,30,5,6,1,30,3,28,1,6,1,30,9,28,1,30,6,28,1,6,2,30,1,6,1,30,1,6,2,30,2,6,2,7,1,30,1,6,1,29,1,7,1,30,1,28,1,30,2,28,1,30,1,28,1,6,1,30,2,6,2,30,3,6,4,30,3,6,1,30,1,6,1,30,2,6,1,29,1,30,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,28,1,13,1,9,2,7,1,30,1,29,1,7,1,30,1,6,1,30,2,6,1,30,1,6,3,30,1,6,2,13,2,6,4,30,1,6,1,30,1,6,1,30,4,29,1,6,1,28,1,6,2,30,1,6,1,28,1,30,2,28,1,30,3,28,1,6,2,28,1,6,2,30,2,29,1,30,1,28,1,6,1,30,1,6,1,30,1,29,1,6,1,30,3,6,1,30,7,28,1,29,1,28,2,30,3,28,1,30,3,28,1,30,3,6,1,30,1,29,2,30,1,6,2,17,2,8,1,6,1,13,1,11,1,9,2,11,1,12,1,9,1,10,1,13,1,7,1,8,1,13,1,8,1,24,4,9,1,24,1,9,1,24,1,13,1,7,1,13,1,6,2,8,1,6,2,7,1,24,2,9,1,8,2,9,2,12,1,9,1,17,3,11,2,17,1,12,1,16,1,11,1,17,3,12,1,24,2,13,2,6,2,25,1,6,1,25,1,6,1,7,2,25,1,24,1,8,1,7,2,8,1,13,1,7,2,10,1,12,1,8,1,28,4,6,1,13,1,10,1,24,1,6,1,17,6,12,1,10,1,12,1,10,1,17,1,13,1,8,1,7,1,6,1,13,3,8,2,6,1,7,1,6,1,29,1,13,1,6,1,30,1,24,1,17,3,11,1,8,1,6,2,7,1,6,1,7,1,6,3,29,1,28,1,6,1,12,1,7,2,13,1,7,1,6,1,29,1,28,8,24,1,17,5,12,2,17,1,12,1,10,1,17,1,11,1,12,2,17,1,12,2,10,1,17,1,12,1,17,4,12,1,10,1,17,3,12,2,17,1,24,1,10,1,12,3,10,1,17,4,12,2,9,1,8,1,10,1,11,1,9,1,12,1,17,12,28,2,30,2,28,2,6,1,30,1,13,1,29,2,30,1,28,6,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,5,30,3,28,1,6,1,28,1,30,2,28,3,30,1,28,1,30,1,28,2,6,1,30,1,6,2,30,1,6,4,30,5,28,1,30,3,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,2,6,1,28,1,30,1,28,2,6,1,17,1,12,1,24,1,8,1,24,1,8,1,6,1,25,1,6,1,25,1,27,1,29,1,25,1,30,1,8,1,25,2,26,1,25,1,7,1,25,1,29,2,8,1,30,2,7,1,30,1,29,1,28,1,6,2,8,1,7,1,29,1,6,1,7,1,6,1,13,1,28,1,30,1,29,1,6,1,29,1,30,1,6,1,7,1,28,1,13,1,29,1,6,4,13,1,7,2,6,1,13,1,7,2,6,1,7,1,8,1,6,1,8,1,24,2,12,1,24,1,6,1,7,1,8,2,7,2,12,2,8,1,24,2,8,1,24,1,12,1,8,3,24,1,12,1,25,1,24,2,25,1,24,1,27,1,25,2,26,2,8,1,25,3,8,1,27,1,25,1,8,1,24,1,6,1,8,1,25,4,24,1,12,3,24,1,12,1,10,1,12,2,10,1,17,1,12,1,24,2,8,1,6,2,8,1,7,1,8,1,25,1,8,2,24,2,8,1,24,3,10,2,12,1,8,1,24,1,12,1,17,1,10,2,12,1,10,1,12,2,9,1,12,1,17,1,10,1,9,2,10,1,12,1,17,3,13,1,30,1,28,2,30,1,28,2,30,1,7,1,13,1,6,1,7,1,6,1,30,1,28,25,30,1,6,2,9,3,11,1,9,4,11,1,9,1,11,1,24,1,10,1,17,1,13,1,24,1,12,1,11,1,17,1,12,1,17,1,9,1,16,1,17,1,11,2,9,5,8,1,16,1,13,1,11,2,10,2,9,2,13,1,11,1,9,2,6,1,8,1,13,3,9,3,11,1,9,1,17,1,16,1,17,1,16,2,17,1,16,1,17,1,11,1,9,2,11,1,13,1,9,6,8,2,9,1,13,2,9,1,13,4,9,1,13,6,8,1,13,1,10,1,8,2,9,1,8,1,11,1,9,5,17,1,11,1,16,1,13,1,9,1,13,1,9,3,11,1,9,1,16,1,17,1,11,1,16,2,11,1,9,1,16,1,11,1,10,1,9,2,16,1,10,1,9,1,10,1,11,1,17,1,11,1,9,1,16,1,11,2,9,2,10,1,13,1,11,1,9,4,13,1,6,1,13,1,9,1,13,2,17,1,11,1,9,1,12,1,8,1,10,1,8,1,24,1,6,1,8,3,29,1,8,1,6,2,13,2,6,1,7,1,30,1,7,2,24,1,29,1,7,1,8,1,13,1,6,1,13,1,10,1,24,2,17,3,9,1,17,6,9,1,13,2,9,1,11,1,8,1,13,4,9,1,8,1,11,1,7,1,9,1,8,1,16,1,13,1,8,2,13,1,9,2,13,2,6,1,8,2,9,2,13,1,9,3,11,2,9,1,16,1,11,1,9,1,11,2,13,1,6,1,28,1,6,1,29,1,30,1,28,3,30,1,28,3,30,1,10,1,12,1,14,1,12,1,10,1,8,1,13,1,6,2,8,2,13,2,6,1,29,3,6,1,8,1,6,1,13,3,8,4,12,1,13,1,28,5,30,1,6,1,30,1,13,1,7,1,24,1,29,1,30,1,28,34,24,1,15,1,9,1,6,1,30,1,6,1,13,1,12,1,24,1,9,1,7,1,30,1,29,1,28,1,29,1,7,1,24,1,7,1,8,3,9,1,6,1,28,5,13,1,24,1,6,1,30,1,28,3,29,3,24,2,14,1,9,1,15,1,9,1,24,1,12,1,8,1,13,1,6,1,13,1,12,1,17,1,8,1,28,3,7,2,24,1,28,49,13,1,24,1,8,1,28,6,}, {28,5,30,1,29,1,6,1,30,1,28,1,6,1,28,2,6,1,28,23,7,1,13,1,9,1,24,1,6,2,29,1,6,1,30,1,6,1,30,1,6,1,10,1,6,1,30,1,28,9,13,1,24,1,30,1,28,6,13,1,8,1,13,1,8,1,30,1,28,11,13,1,8,1,6,1,28,44,29,1,13,2,6,1,7,1,9,1,8,1,12,1,6,1,28,1,6,1,29,1,28,1,13,1,15,1,7,1,28,1,6,1,28,1,6,1,7,1,30,1,13,1,6,1,29,1,28,7,6,1,13,2,24,1,30,1,28,6,13,1,9,1,8,2,9,1,8,1,9,1,13,1,24,1,13,2,24,1,13,1,15,1,14,1,24,1,13,1,29,1,6,1,29,1,6,2,9,1,28,31,30,1,28,6,6,1,7,1,9,1,7,1,30,1,28,4,13,1,17,1,24,2,8,2,13,1,7,1,29,1,13,1,6,1,29,1,6,1,13,1,6,1,7,1,29,1,6,2,7,1,6,1,30,1,6,2,13,1,8,2,13,1,24,1,14,3,28,67,30,1,29,1,28,3,6,1,28,1,7,1,6,5,28,1,6,1,7,1,6,1,28,2,13,1,6,1,7,1,30,1,6,3,28,2,30,1,6,1,28,1,6,1,7,1,30,1,28,1,30,3,28,3,6,2,28,2,7,1,30,1,6,1,29,3,6,1,28,1,6,1,28,2,6,1,13,1,28,1,30,1,29,1,6,1,28,2,6,1,30,2,6,1,30,2,29,1,30,1,29,1,30,1,6,1,13,1,6,1,13,1,30,1,6,1,29,1,6,1,28,1,30,1,7,1,29,1,8,1,30,5,28,2,30,2,6,6,13,2,24,2,8,1,28,3,6,1,28,1,30,1,28,3,30,2,28,1,30,2,29,1,30,2,6,1,30,1,6,2,28,1,30,2,6,2,29,1,30,2,28,1,30,1,28,1,30,3,6,3,13,1,30,1,6,1,30,1,6,1,30,1,6,2,30,3,13,2,11,1,16,2,10,1,16,2,11,2,16,2,11,1,16,1,11,1,16,1,11,1,16,1,9,2,11,1,9,1,11,6,9,1,11,2,9,1,10,1,11,1,9,1,10,1,11,1,9,3,13,1,9,1,13,1,8,2,9,2,8,1,9,1,13,1,16,1,9,2,8,1,9,2,11,1,9,1,10,1,11,1,9,2,11,1,9,4,8,2,9,3,13,1,8,1,13,1,6,2,29,1,6,1,13,1,6,1,29,1,24,1,6,1,30,1,28,21,9,1,12,1,11,2,17,1,11,1,17,1,9,3,13,1,24,1,13,1,7,1,6,1,13,3,29,1,6,2,13,1,6,2,7,1,6,1,7,1,13,1,29,1,30,2,13,1,28,1,7,1,6,1,7,1,13,1,6,1,13,1,24,1,8,1,30,1,28,2,30,1,29,1,28,1,30,1,6,1,30,1,28,1,29,1,6,1,28,1,6,1,13,1,29,1,30,1,29,1,6,1,28,2,6,1,28,1,13,1,30,2,28,1,30,1,28,2,6,1,29,3,6,1,28,1,29,1,30,2,28,2,30,1,29,1,28,2,29,1,6,1,7,1,29,1,30,1,13,1,30,1,6,2,8,1,7,1,6,1,29,1,13,1,6,1,30,2,6,3,30,2,28,1,30,1,28,1,30,1,29,1,28,4,30,1,28,1,29,1,28,1,29,1,30,1,29,1,6,1,30,1,29,1,7,1,29,1,7,2,6,2,13,1,29,1,6,1,29,1,30,2,7,1,28,1,30,2,7,1,30,1,28,160,29,1,13,4,30,1,9,1,13,1,11,1,16,1,11,4,9,1,16,1,17,3,9,1,8,1,11,1,9,1,12,1,9,1,13,5,9,1,13,2,9,1,16,1,9,1,16,1,11,1,16,2,9,2,13,6,9,2,13,1,9,2,16,1,10,1,11,1,9,1,11,1,9,2,13,1,9,4,16,1,17,1,16,4,13,1,28,7,6,2,13,1,29,1,6,1,11,1,6,1,29,1,13,1,30,3,13,1,28,1,6,1,30,1,6,1,30,1,6,1,29,1,6,1,29,1,30,1,6,2,28,1,6,1,30,1,6,1,30,2,6,1,30,2,29,1,30,3,28,1,30,4,28,3,30,2,28,2,30,11,28,1,30,2,28,1,30,1,28,1,29,1,30,4,29,1,28,2,30,2,28,2,30,3,6,1,28,1,30,2,29,1,28,1,30,4,6,1,30,3,28,1,30,6,28,1,30,2,28,1,6,1,30,3,6,1,28,2,30,1,28,1,13,1,11,1,13,1,30,11,7,1,30,2,6,1,28,1,30,1,6,1,29,1,30,1,29,1,28,1,6,1,28,1,30,6,28,1,30,1,28,1,30,3,29,1,30,2,6,1,30,1,29,1,28,2,30,9,28,1,30,4,28,1,30,2,28,2,30,3,28,2,6,1,30,3,28,1,30,3,28,1,30,1,6,1,30,3,6,2,30,1,6,1,13,1,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,3,13,1,30,1,6,1,13,1,6,1,28,1,30,5,6,1,30,4,28,1,30,2,28,1,30,3,28,1,30,1,28,3,30,1,28,1,30,6,6,1,28,1,30,15,28,1,30,1,13,1,6,2,30,1,6,1,30,1,6,1,30,4,6,1,30,3,6,2,30,1,6,1,30,4,6,1,30,3,28,1,30,5,28,1,30,6,6,1,28,1,6,2,30,6,28,1,6,1,30,2,6,4,29,1,30,3,28,2,30,4,6,2,30,1,29,1,7,1,28,1,6,1,7,1,6,2,28,1,30,1,28,1,30,1,6,1,30,1,6,1,13,1,30,2,29,1,6,1,28,2,6,2,7,1,30,1,7,1,8,2,13,1,6,2,30,1,6,2,30,2,6,1,30,2,6,2,29,1,6,1,30,1,13,1,6,5,30,1,28,1,6,1,30,9,28,1,30,2,28,1,30,2,6,1,29,1,30,1,28,1,6,1,30,1,6,2,30,4,29,1,30,3,6,1,28,1,13,1,30,1,6,3,28,1,6,1,30,1,6,4,30,1,6,1,30,2,29,1,28,1,30,3,28,1,30,2,28,1,30,2,28,1,30,4,29,1,30,3,6,1,11,1,17,1,11,1,13,1,8,1,11,1,10,1,9,1,8,1,10,1,8,1,9,1,10,1,8,1,13,1,6,2,8,2,13,2,24,2,9,1,8,1,13,1,7,1,13,1,29,1,6,4,8,1,7,1,24,1,12,1,10,1,9,1,10,2,11,1,10,1,12,2,11,1,10,2,17,1,12,1,11,1,17,4,12,1,24,2,13,2,6,5,30,1,6,1,25,1,7,1,8,1,13,1,8,1,7,1,13,1,7,2,24,1,8,1,12,1,9,1,28,4,29,1,13,1,10,2,29,1,17,6,12,1,11,1,10,1,12,1,8,2,13,1,7,1,8,1,13,1,7,1,24,1,13,3,7,1,30,2,28,1,29,1,30,1,6,1,12,1,17,4,13,1,28,1,30,1,6,1,13,1,6,1,13,1,6,2,30,1,28,1,9,2,13,1,7,2,29,2,30,1,28,4,30,1,28,1,13,1,12,2,17,1,12,2,17,2,10,1,12,2,17,2,12,1,17,1,12,1,17,1,10,1,17,1,12,2,17,2,10,1,12,2,17,1,9,1,17,1,10,1,17,2,24,1,17,1,12,1,17,1,10,2,17,1,12,5,10,1,11,1,9,1,17,1,12,3,9,2,17,11,28,2,30,1,28,2,30,2,6,1,30,1,29,1,30,2,28,7,30,1,28,10,30,1,28,2,30,1,28,2,30,1,28,3,30,1,28,7,30,3,6,2,30,1,13,1,6,1,30,3,28,1,30,2,6,1,30,3,6,2,30,1,6,3,30,2,29,1,6,2,30,3,28,1,30,1,13,1,17,1,8,2,24,1,8,1,25,1,6,1,25,2,7,1,25,1,6,1,29,1,6,1,25,1,27,1,6,1,25,1,6,1,25,2,8,1,29,1,13,1,30,1,6,2,29,1,24,1,25,1,29,1,7,1,8,2,7,1,30,1,8,1,6,1,13,1,6,1,28,1,6,1,29,1,6,3,13,1,6,1,7,1,13,1,6,4,7,2,6,1,29,1,7,1,30,1,13,1,6,1,7,1,13,1,6,1,24,1,8,2,24,2,10,1,13,1,30,1,24,2,8,2,24,6,6,1,12,1,24,2,25,1,8,1,24,1,25,1,8,3,25,1,8,2,30,1,24,1,6,1,8,2,6,1,8,1,7,1,8,1,25,1,26,1,25,1,24,1,25,1,8,1,25,1,24,2,10,1,12,1,10,1,9,1,12,1,8,1,12,1,17,1,8,1,24,1,10,1,24,1,8,1,24,1,6,3,13,1,8,1,7,1,8,1,29,1,13,1,24,1,8,1,24,1,10,1,24,1,12,1,8,3,13,1,12,1,10,1,24,1,9,1,10,1,17,1,10,1,24,1,10,1,9,1,11,1,9,1,10,1,12,1,9,1,10,1,12,1,17,3,12,1,8,1,28,1,30,1,6,1,28,2,6,1,30,1,7,1,30,1,29,1,6,2,30,1,28,7,30,1,28,14,30,1,28,1,6,1,7,1,29,1,8,1,9,1,11,1,9,2,8,1,13,1,9,2,17,1,10,1,11,1,9,1,8,1,9,1,11,2,17,2,11,1,17,1,11,1,10,1,16,1,13,1,11,1,9,2,11,1,9,1,13,1,16,1,8,1,11,2,9,1,16,1,9,3,8,1,9,2,13,2,9,1,13,1,11,1,9,2,16,1,9,1,11,1,17,2,16,2,17,2,16,1,17,1,9,1,11,1,16,1,9,1,8,1,9,1,8,1,13,1,9,1,13,1,9,2,13,1,8,1,9,1,8,1,9,1,13,3,8,1,9,1,8,2,13,1,9,1,29,1,9,1,13,1,9,2,7,1,8,1,13,3,9,1,11,1,17,1,10,1,11,1,9,3,8,2,13,1,11,1,13,1,11,1,13,1,16,1,11,2,13,1,16,1,11,1,9,1,16,2,11,1,17,1,9,1,11,2,9,2,11,3,10,1,11,3,10,1,9,2,8,1,11,1,8,1,9,3,13,2,6,1,7,1,8,1,11,1,12,1,17,1,12,1,9,2,13,2,24,1,8,1,30,1,24,2,8,1,13,1,8,1,6,2,13,1,6,1,13,1,29,1,7,1,6,1,13,1,7,1,13,1,8,1,7,1,24,1,8,3,24,1,13,1,12,1,13,1,24,2,17,1,10,1,11,1,17,4,8,1,10,1,9,2,6,1,9,1,8,1,9,1,13,1,8,1,9,5,16,1,13,1,11,1,13,1,9,1,13,2,9,4,16,1,8,1,10,1,13,1,9,2,16,1,8,1,16,2,11,2,9,1,16,1,11,1,30,1,6,1,28,2,30,1,28,2,30,1,28,5,6,1,16,1,12,1,17,1,15,2,13,2,6,1,13,1,7,1,6,2,13,1,30,1,6,1,30,1,13,1,28,1,6,1,8,1,13,1,24,1,9,1,15,1,9,1,24,1,9,1,13,1,7,1,28,6,30,1,13,1,8,1,9,1,24,1,6,1,29,1,28,34,13,1,11,1,15,1,7,1,6,1,28,1,7,1,14,1,9,1,8,1,7,1,6,1,29,1,28,2,29,1,8,1,24,1,10,1,8,1,9,1,8,2,28,4,30,1,7,1,13,1,9,1,6,1,28,1,29,2,6,1,30,1,6,1,8,1,9,1,15,1,9,2,12,1,8,1,24,1,9,1,6,1,13,2,17,1,12,1,13,1,30,1,28,2,29,1,24,1,8,1,28,49,8,1,17,1,13,1,28,6,}, {28,3,30,1,28,3,6,1,7,1,28,1,29,1,28,1,30,2,28,23,8,2,13,2,29,1,6,1,30,1,13,1,7,1,29,1,30,2,24,1,8,1,28,10,7,1,8,1,30,1,28,5,29,1,6,1,8,1,6,3,30,1,28,10,7,1,13,2,28,45,13,1,29,1,13,1,29,1,24,1,10,1,24,1,30,1,29,2,30,1,6,1,8,1,24,1,13,1,28,1,29,1,28,1,30,1,6,1,13,1,7,1,6,1,29,2,28,1,30,1,28,1,30,1,28,2,30,1,13,1,7,1,9,1,13,1,28,6,6,1,10,1,24,1,8,1,24,2,9,1,8,1,13,1,8,1,24,1,13,1,24,1,9,1,14,1,8,1,6,1,29,1,30,1,6,2,13,1,8,1,28,32,30,1,28,4,30,2,13,1,8,1,6,2,28,4,8,1,17,1,12,1,13,1,24,1,13,1,7,2,6,4,29,3,13,1,6,1,29,1,7,1,30,1,8,1,7,1,13,2,24,1,8,1,24,1,13,1,8,1,15,1,14,1,16,1,30,1,28,58,30,1,28,2,30,2,28,3,6,1,28,1,30,1,28,1,6,2,28,1,6,1,28,1,30,1,29,2,30,2,6,1,30,2,6,1,13,1,30,2,29,1,13,1,6,2,30,1,28,1,6,1,30,3,28,2,30,1,28,1,30,2,28,1,6,1,28,1,6,1,29,1,30,1,28,1,6,1,28,2,6,1,30,1,28,1,30,1,6,1,28,1,30,3,28,3,6,1,30,2,28,1,6,1,28,1,6,1,28,2,13,1,28,1,6,1,30,1,6,1,8,1,13,1,28,1,13,1,6,1,30,1,13,1,28,1,6,1,30,1,13,2,6,3,30,1,28,1,30,1,28,2,7,1,30,1,6,1,13,1,30,1,6,3,13,1,7,1,13,2,6,1,13,1,28,1,7,1,28,1,7,1,30,1,28,2,29,2,28,1,6,1,28,3,30,2,28,2,6,1,28,1,6,1,28,2,7,1,30,1,29,1,28,1,6,2,28,4,30,1,28,1,13,1,29,1,13,1,6,1,13,2,28,1,6,1,7,1,30,2,6,1,28,2,30,1,13,1,8,1,11,1,17,1,11,1,16,3,17,1,11,1,16,1,11,1,16,3,9,1,16,2,11,1,9,2,11,3,16,1,9,1,11,1,9,1,11,1,17,1,9,1,8,1,11,1,10,1,11,1,9,2,10,1,9,4,8,1,9,2,13,1,10,1,9,2,8,1,10,1,9,1,8,1,10,1,9,1,11,1,8,1,9,2,10,1,9,2,8,1,9,2,11,1,10,1,9,1,8,1,9,1,13,3,7,2,6,2,30,1,29,1,28,1,29,1,6,1,28,23,24,1,11,1,12,2,11,2,9,1,12,1,8,6,6,1,13,1,6,1,13,1,6,1,8,1,6,1,13,1,29,1,6,1,7,1,6,1,29,1,7,1,28,1,7,1,28,1,6,1,30,1,28,1,6,1,29,1,13,2,8,1,9,1,28,3,30,2,29,1,7,1,30,1,6,1,29,1,28,1,30,3,7,1,6,1,28,1,6,1,28,2,29,1,28,1,30,2,28,1,6,1,28,3,6,1,30,4,28,1,30,1,7,1,30,1,29,1,28,3,29,1,30,1,29,2,30,1,28,2,29,3,30,2,13,2,29,1,28,1,13,1,29,3,30,1,6,1,28,1,30,3,29,1,30,3,6,1,28,2,29,1,28,1,6,1,28,2,6,1,28,1,29,1,13,1,30,1,6,2,29,1,7,1,6,1,29,3,28,2,30,2,6,2,28,2,30,1,28,1,6,2,7,3,28,1,30,1,28,46,30,1,28,107,30,2,13,3,30,1,13,1,9,1,13,1,17,1,11,2,9,3,10,1,11,1,12,1,10,1,17,1,12,1,9,2,10,1,9,1,17,1,13,2,9,1,13,1,9,5,11,3,16,1,11,2,13,1,9,1,13,5,6,1,9,6,16,1,11,1,9,1,11,2,8,1,9,4,16,4,11,1,17,1,9,1,30,1,28,7,13,3,6,1,9,1,11,1,13,1,30,1,6,1,30,2,6,4,30,1,13,1,6,3,29,1,6,1,30,2,6,1,30,6,6,1,30,1,7,1,6,1,28,1,30,2,29,1,30,2,28,1,6,1,30,4,28,1,6,1,30,1,28,1,6,1,30,3,28,1,30,1,29,2,30,1,29,1,30,5,6,1,30,1,28,2,30,2,28,3,30,2,28,3,29,1,6,1,30,1,29,1,30,2,6,1,30,9,6,1,30,3,6,2,30,1,29,1,6,1,30,4,28,1,30,1,28,1,30,2,28,1,30,1,13,2,6,3,30,1,6,4,30,3,6,1,30,2,6,2,30,1,6,3,30,1,13,2,6,2,29,1,30,1,6,2,30,2,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,29,1,30,2,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,1,6,1,28,1,6,1,30,2,6,1,30,1,6,2,30,3,28,1,29,1,30,1,29,1,28,1,6,1,29,1,6,1,13,1,6,2,30,5,6,1,30,4,28,1,13,1,7,1,29,1,30,2,28,1,30,3,28,1,30,1,28,1,6,2,28,1,30,1,28,6,29,1,28,5,30,6,28,1,30,1,28,1,30,2,6,1,30,1,28,1,30,3,28,1,30,3,28,2,30,1,6,1,13,1,6,3,30,1,28,4,30,1,29,1,6,3,30,2,6,1,30,4,6,1,28,2,30,1,28,1,30,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,29,1,30,3,29,2,6,1,30,3,29,1,30,1,29,1,28,1,30,1,29,1,6,1,13,1,30,1,6,2,30,2,29,2,6,1,7,1,6,1,30,2,6,1,30,2,29,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,28,1,6,2,28,1,6,1,13,1,30,3,6,1,30,1,6,2,30,2,6,1,30,2,6,1,8,1,13,3,6,1,28,1,30,1,28,4,30,1,6,1,30,3,6,2,7,1,13,1,6,2,30,1,29,2,6,4,13,1,30,2,29,1,30,2,28,1,30,1,6,1,13,1,30,3,29,1,30,1,6,2,30,1,6,1,13,1,6,3,30,2,29,1,30,1,7,1,28,1,6,1,30,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,2,30,1,6,1,30,2,7,1,30,1,29,1,30,2,6,1,30,2,28,1,29,1,28,1,30,1,28,2,30,2,6,2,30,2,29,1,6,2,30,1,6,1,9,1,17,2,9,1,13,1,10,1,12,2,13,4,8,1,13,1,9,1,13,1,6,1,8,1,9,1,8,1,13,1,7,1,9,1,24,1,8,2,6,1,8,1,6,1,30,1,13,3,8,1,13,2,10,1,11,1,10,3,12,1,9,1,10,2,9,1,12,2,10,1,12,1,9,1,11,1,17,4,10,1,8,1,6,1,29,1,30,2,28,1,30,1,28,1,30,1,29,1,7,2,8,1,7,1,8,2,7,1,30,1,29,1,6,1,8,1,17,2,6,1,28,4,7,1,8,1,10,1,24,2,17,7,12,1,17,1,8,2,7,2,8,1,7,1,24,1,7,1,13,2,29,1,13,1,29,1,30,1,28,4,13,1,12,1,17,4,28,1,7,1,6,1,7,1,13,1,6,3,30,1,28,1,13,1,24,1,8,1,6,2,30,1,29,1,28,6,13,1,17,1,12,1,17,1,12,1,17,2,12,2,17,1,10,1,17,2,12,2,17,1,12,1,17,1,12,1,17,1,12,3,24,1,17,2,24,1,17,3,10,1,17,1,24,1,17,1,12,1,17,2,12,2,9,1,17,2,12,1,17,1,12,1,10,1,12,1,8,1,12,1,10,1,17,1,9,1,12,1,10,1,17,11,13,1,28,4,30,2,28,2,30,1,28,5,30,1,28,1,30,1,28,2,30,1,28,5,30,3,28,1,30,3,28,4,30,1,28,4,30,1,28,1,30,2,28,2,30,1,6,2,13,1,30,1,6,2,30,4,28,1,30,1,6,1,29,1,28,1,30,1,28,1,6,1,30,2,6,1,30,2,6,1,30,2,6,1,30,3,28,1,29,1,30,1,10,1,17,1,24,1,9,1,13,2,25,1,7,1,6,1,7,1,25,1,6,2,8,1,26,1,6,2,29,1,6,1,25,1,6,2,8,1,28,1,30,2,28,1,6,1,30,1,13,1,7,1,29,1,7,1,6,1,24,1,7,2,13,1,30,1,7,1,28,1,30,1,6,1,7,1,28,1,6,1,13,1,6,1,7,1,6,2,29,1,7,1,6,1,29,1,8,1,13,1,7,2,8,1,6,1,29,1,8,1,24,1,7,1,9,1,7,1,8,2,13,1,6,1,13,1,7,1,6,1,10,1,24,1,10,1,8,1,12,1,24,1,25,1,24,1,8,1,25,1,12,2,8,2,24,1,25,1,24,2,6,1,24,1,6,1,26,1,25,2,30,1,8,1,25,1,6,1,8,1,6,1,7,1,25,2,24,1,25,1,8,3,24,2,10,1,8,1,10,1,24,1,12,1,24,1,12,1,24,3,12,1,17,1,24,2,7,1,6,1,7,1,6,1,7,1,13,1,6,2,8,2,6,1,13,1,8,1,24,1,8,1,24,3,8,1,24,1,10,2,9,2,12,3,10,1,17,1,9,2,12,1,9,1,10,1,12,1,11,1,8,1,9,1,17,4,12,1,10,1,7,1,28,1,30,1,28,1,30,3,6,1,13,1,6,1,7,1,6,1,29,1,6,1,29,1,28,20,30,1,13,1,30,1,9,1,10,1,9,2,13,1,8,1,13,1,9,1,10,1,17,1,12,1,10,1,11,1,9,1,10,1,17,1,10,1,17,1,10,1,9,1,11,1,10,1,11,1,17,1,16,1,11,1,9,1,11,1,9,1,13,1,9,2,16,1,9,1,11,1,10,1,11,2,9,1,13,2,11,1,8,1,9,2,13,1,9,4,11,3,16,2,17,1,16,2,17,5,9,3,13,1,9,1,8,1,10,1,13,2,8,1,9,1,11,1,13,1,8,1,13,2,8,1,11,1,8,1,13,1,7,1,8,1,13,2,9,2,13,1,9,2,8,1,9,1,13,2,9,4,16,2,13,1,11,1,16,1,11,1,10,1,13,1,9,1,13,1,9,3,17,1,16,1,9,1,17,1,16,1,11,2,16,1,17,1,10,1,11,2,16,3,9,1,16,1,9,1,17,1,11,2,10,1,16,1,13,1,9,1,8,1,9,4,8,1,10,1,13,1,7,1,13,1,8,1,11,1,10,1,17,2,10,1,12,1,17,1,8,2,13,1,24,2,8,1,10,1,8,2,7,1,8,2,13,2,6,2,8,1,13,1,29,1,13,1,7,1,8,1,7,1,8,2,24,1,8,1,13,1,10,2,12,2,10,1,24,1,10,1,12,1,17,2,11,1,17,1,10,1,9,1,13,1,9,1,7,1,16,1,6,1,9,1,13,3,9,1,8,1,13,1,9,2,13,1,16,1,30,1,9,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,3,16,1,9,2,17,1,9,1,16,1,11,1,10,1,9,1,7,1,28,2,30,2,28,4,30,1,28,4,17,1,14,1,17,1,15,1,9,1,13,4,6,2,29,1,6,2,30,1,28,1,30,3,8,1,13,1,9,2,14,1,9,1,14,1,15,1,24,1,13,1,28,7,29,1,17,1,8,2,13,1,29,1,28,34,13,1,9,2,6,3,29,1,9,1,10,1,24,1,7,1,30,1,28,1,30,2,6,1,8,1,9,1,24,1,8,2,10,1,6,1,28,5,8,1,9,1,30,1,29,1,30,1,28,2,30,2,7,1,24,1,9,1,10,1,14,1,10,1,24,2,8,1,29,1,13,1,29,1,7,1,17,2,13,1,28,3,29,1,9,1,8,1,28,49,13,1,8,2,30,1,28,5,}, {28,4,30,1,29,1,30,1,6,1,29,2,28,2,29,1,28,24,9,1,13,1,6,1,28,1,6,1,28,1,30,1,13,1,6,2,28,1,29,1,8,2,28,10,6,1,8,1,6,1,28,6,30,1,8,2,7,1,6,1,30,1,6,1,28,9,6,2,13,1,28,46,13,2,29,1,13,1,24,2,6,1,28,2,30,2,13,1,8,2,30,1,28,2,6,1,30,1,13,1,8,1,7,2,30,1,29,1,28,1,29,1,28,3,6,1,13,1,8,2,28,7,7,1,10,1,12,1,24,2,8,2,13,1,8,1,13,1,8,2,11,1,9,2,12,1,13,2,30,1,7,1,6,1,13,2,30,1,28,32,30,1,28,3,30,1,28,1,30,1,8,1,6,1,29,1,28,4,13,1,17,1,12,1,9,1,13,1,6,1,8,1,7,1,6,1,30,1,29,2,6,1,28,1,6,1,30,1,29,1,6,1,29,1,6,1,13,2,6,1,13,1,8,1,13,1,8,2,12,1,14,3,29,1,28,47,30,1,28,13,30,1,28,7,30,1,28,2,6,1,30,2,28,1,6,1,13,1,30,1,28,2,29,1,28,1,30,1,6,1,28,1,7,1,28,1,30,4,29,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,7,1,28,1,30,2,6,1,28,1,6,2,29,1,6,3,29,2,28,2,29,2,28,1,6,1,28,2,30,2,28,1,30,1,13,1,30,1,29,1,6,2,29,1,13,1,6,1,7,1,6,2,28,1,30,1,7,1,30,1,7,1,6,2,30,1,29,1,6,1,8,1,28,1,6,1,28,1,30,1,29,1,7,1,30,1,6,1,28,1,6,2,30,1,13,1,6,2,13,1,28,1,13,1,9,1,13,1,8,1,7,1,6,1,28,2,30,1,29,2,30,1,28,3,30,1,28,2,6,1,28,1,30,1,29,1,28,1,30,1,28,2,30,1,28,1,6,4,28,3,6,1,30,1,28,1,30,1,28,1,29,1,30,1,13,1,6,1,8,1,30,1,6,1,29,2,13,1,7,1,6,1,29,1,30,1,28,1,13,2,11,1,17,2,11,1,16,2,11,2,16,3,11,1,17,1,11,1,16,1,9,1,11,5,16,1,9,2,16,2,11,3,9,1,11,1,10,1,11,2,9,2,10,2,9,2,8,1,11,1,9,3,10,1,9,1,8,1,10,1,9,1,11,1,9,1,11,3,9,1,11,1,10,1,11,1,9,3,8,1,9,1,11,1,13,1,8,1,13,1,9,1,6,1,13,1,6,2,30,1,6,2,13,1,6,1,8,1,30,1,28,23,10,2,9,1,8,1,11,1,12,1,9,2,8,1,9,1,8,1,9,1,24,1,8,1,7,1,6,1,13,4,6,2,29,3,6,2,29,1,13,1,6,1,28,1,6,3,28,1,30,1,6,1,13,2,11,1,29,1,28,3,30,1,24,1,28,1,29,1,13,1,30,3,7,1,28,1,30,2,7,1,28,1,6,1,28,1,6,1,7,1,28,1,29,2,6,1,30,1,29,2,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,1,30,4,6,1,28,1,7,1,13,1,6,1,7,1,6,3,13,1,30,1,6,1,13,1,30,1,29,1,6,2,7,1,6,2,28,1,29,1,30,1,28,4,30,2,29,1,30,1,28,3,29,1,28,2,29,1,30,1,7,1,29,1,13,1,7,1,13,1,29,1,6,1,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,4,8,1,13,2,30,2,28,152,30,1,13,2,6,1,7,1,13,1,9,3,11,3,9,3,16,1,11,1,9,1,11,1,17,2,15,1,24,1,11,1,9,2,8,2,9,3,11,2,9,1,16,1,11,1,17,1,11,1,16,1,9,3,13,1,9,1,13,1,6,1,13,1,9,1,13,1,9,1,13,1,9,1,11,1,9,1,11,3,10,1,11,2,16,1,9,1,11,1,16,3,17,1,10,1,16,1,17,1,11,1,8,1,28,8,13,2,6,1,8,1,9,2,6,1,29,1,30,2,6,3,30,1,6,2,30,1,13,1,30,1,29,1,6,3,30,3,6,2,30,1,6,1,30,2,6,1,30,2,29,1,30,3,29,1,28,1,30,3,28,1,30,1,28,1,30,1,28,3,30,1,6,1,30,2,28,2,30,1,6,1,28,1,30,1,6,1,30,1,6,2,30,1,28,2,29,1,30,7,28,1,29,1,30,2,13,1,30,2,29,1,30,8,29,1,28,1,30,1,28,1,6,3,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,4,6,1,28,1,30,2,28,1,30,1,11,1,6,1,30,1,13,1,6,1,30,1,28,3,30,3,6,1,30,2,13,1,6,1,29,1,6,1,30,1,6,3,30,2,6,1,30,2,6,2,30,1,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,5,28,1,30,1,28,2,30,4,28,2,30,2,28,3,30,3,28,1,30,1,28,2,30,2,28,3,30,1,6,1,30,1,6,2,30,1,28,1,30,4,28,1,30,2,29,1,30,2,6,2,28,1,6,1,28,1,30,1,7,1,30,6,6,1,28,2,6,2,30,1,28,1,30,3,28,1,6,1,30,3,28,4,30,1,28,1,30,3,28,3,30,1,28,2,29,1,28,2,30,1,28,1,6,1,28,2,30,1,29,1,30,2,28,1,30,2,28,2,29,1,28,1,30,1,28,1,30,5,6,1,13,1,6,1,30,1,28,1,30,3,28,1,6,2,30,5,28,1,30,1,6,1,30,8,28,2,30,4,29,1,30,2,28,1,29,1,30,2,29,1,28,2,30,4,29,1,6,1,30,1,6,1,30,1,6,1,30,2,6,2,30,1,29,1,30,1,29,1,30,2,29,1,6,2,30,1,6,2,29,2,13,1,6,5,28,1,6,1,30,1,6,1,30,1,6,1,29,1,30,2,6,1,30,1,6,2,30,1,28,1,30,1,6,1,28,1,7,1,13,2,8,1,6,1,29,1,30,1,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,1,29,1,7,1,29,1,6,3,13,1,6,6,13,1,6,1,30,1,28,1,30,2,28,1,30,2,6,2,7,1,28,2,30,2,6,2,29,1,30,1,6,5,30,1,6,1,30,2,6,2,7,1,13,1,6,2,30,1,13,1,30,2,7,1,6,2,30,1,29,1,6,2,30,1,6,1,7,1,30,5,28,3,30,5,6,1,30,1,29,1,28,1,29,1,6,3,7,1,13,2,8,1,13,3,9,1,17,1,9,2,10,1,13,1,28,1,13,1,6,1,28,2,7,1,24,1,8,1,24,2,8,2,24,1,13,1,8,1,7,2,13,3,8,2,24,3,9,1,10,1,11,1,8,1,9,3,16,1,12,2,11,3,17,4,9,1,8,1,13,1,28,1,30,2,28,1,30,1,28,3,29,4,7,1,29,1,7,2,28,2,30,1,7,1,9,1,17,2,28,5,8,1,12,1,24,1,17,7,12,1,24,1,10,1,6,1,8,1,6,4,7,1,6,2,24,1,7,2,30,2,28,5,13,1,12,2,17,2,6,2,29,1,30,1,13,2,6,1,7,1,30,2,28,1,24,2,7,1,25,1,6,1,30,1,28,6,9,1,17,5,12,1,17,2,12,1,17,1,12,1,17,1,10,1,17,3,12,1,17,1,12,2,17,2,12,1,17,1,12,2,10,1,9,1,12,1,17,4,12,1,10,1,17,1,12,1,17,1,12,2,10,2,17,1,12,1,24,1,12,2,17,1,10,1,9,1,10,2,13,1,17,1,12,1,17,9,16,1,28,1,30,2,28,1,30,1,28,7,30,1,28,4,30,4,28,2,6,1,30,4,28,2,30,2,28,3,30,1,28,1,30,2,28,3,30,1,28,3,30,5,6,4,28,1,30,1,6,1,29,1,6,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,1,6,3,30,1,6,1,29,1,6,1,28,1,30,4,17,2,8,2,24,1,8,1,6,2,25,1,7,1,8,1,6,1,25,1,26,1,29,1,6,1,30,1,25,2,6,1,30,1,29,1,6,1,29,1,6,1,29,2,6,1,8,1,29,1,6,1,30,1,7,1,8,2,24,1,6,2,13,1,7,1,6,4,13,1,6,1,8,1,29,1,30,1,8,1,6,2,29,1,6,1,8,1,7,2,6,1,8,2,7,1,8,1,7,1,13,1,8,1,24,1,13,2,8,1,24,1,6,1,24,1,7,2,12,1,25,1,12,1,8,2,24,3,8,1,10,1,24,2,12,1,10,2,24,1,8,1,24,1,6,1,25,1,24,1,27,2,25,2,24,1,8,2,6,1,25,1,24,2,25,2,24,1,6,1,25,1,8,2,24,1,8,1,24,2,12,2,17,1,12,1,24,1,10,1,12,1,10,2,8,1,13,1,6,1,7,1,6,1,7,1,6,2,8,1,6,1,7,1,8,2,24,2,13,1,24,3,12,1,8,1,24,1,8,1,9,1,24,1,9,1,12,1,9,1,12,2,17,1,10,1,9,1,12,1,9,1,12,2,10,1,9,1,12,1,10,1,17,3,11,1,9,1,17,1,6,1,28,1,30,1,28,3,30,2,6,3,13,1,7,2,13,1,28,1,30,3,28,15,7,2,13,2,9,3,10,2,9,1,10,1,17,2,12,2,10,1,9,2,12,1,11,1,17,1,9,1,8,1,9,2,11,1,17,1,11,1,9,1,10,1,9,2,11,2,10,1,11,2,9,1,13,1,8,1,9,1,11,1,9,1,11,2,8,1,11,1,13,3,8,1,16,1,9,1,11,1,9,1,16,1,11,1,17,3,11,1,17,3,16,3,10,1,9,1,13,2,9,1,11,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,2,9,1,11,1,8,1,13,1,11,1,9,3,8,2,9,2,8,1,10,1,6,1,8,1,9,3,16,3,11,1,17,1,9,1,8,1,9,1,11,1,8,1,16,1,13,1,16,1,8,1,11,1,16,2,17,1,11,2,9,1,17,1,16,1,11,1,10,1,16,4,11,5,9,1,16,1,9,1,16,1,8,1,9,1,10,1,11,2,9,1,13,2,8,2,9,2,17,1,12,1,17,1,8,1,10,1,12,2,8,1,13,1,7,1,8,1,9,1,12,1,8,1,13,1,7,1,29,1,7,1,10,1,24,1,8,1,6,1,7,2,24,2,13,3,8,1,24,1,13,1,6,1,8,1,9,1,13,1,10,1,12,1,10,1,12,3,17,1,12,1,17,4,9,1,13,1,9,1,13,1,8,1,9,1,6,1,8,1,11,1,13,1,9,6,13,1,11,1,9,1,8,1,9,2,6,1,9,2,8,1,9,2,11,2,9,2,16,2,11,3,9,2,13,1,6,1,28,3,6,1,28,3,30,1,28,4,13,1,17,1,14,1,9,1,14,1,12,1,13,1,8,1,13,5,6,1,30,2,6,1,28,1,6,1,29,1,6,1,24,1,10,1,12,1,14,1,15,3,12,1,7,1,28,7,13,1,12,1,9,1,24,1,9,1,30,1,28,34,24,1,15,1,9,1,24,1,29,1,30,1,13,1,14,1,9,1,24,1,6,1,29,1,30,1,6,1,28,1,29,1,8,1,10,1,9,2,10,1,24,1,6,1,28,4,6,1,7,1,17,1,13,1,28,2,30,2,6,1,29,1,6,1,24,1,9,1,15,2,17,2,8,1,24,1,28,1,13,1,7,1,8,1,17,1,9,1,8,1,28,3,30,1,24,1,13,1,28,29,30,1,28,19,6,1,9,1,6,1,28,6,}, {28,4,6,2,28,2,30,2,28,2,30,2,28,22,7,1,6,1,13,1,30,2,29,1,30,1,7,1,6,1,7,1,28,2,30,1,6,1,9,1,6,1,28,9,13,1,24,1,6,1,28,5,6,2,9,1,24,1,8,1,7,1,6,1,28,10,30,1,12,1,7,1,29,1,28,45,6,1,29,1,6,2,12,1,10,1,6,1,28,4,13,1,8,1,7,1,29,1,28,2,29,1,30,1,8,1,6,2,13,1,6,1,30,1,28,2,30,1,28,1,6,3,8,1,13,2,28,6,13,1,10,1,9,1,8,1,9,1,12,1,10,1,8,1,24,1,8,2,9,1,8,1,9,1,15,1,24,1,29,1,6,3,7,2,8,1,28,38,6,1,7,1,9,1,24,1,28,5,7,1,17,1,12,1,13,1,8,1,6,1,8,1,7,1,8,1,6,1,29,1,7,1,6,2,7,1,6,1,30,1,28,1,30,1,29,1,6,1,13,1,6,1,7,2,8,1,13,1,24,1,15,2,14,2,13,1,28,65,29,1,28,8,30,1,28,2,29,1,30,1,28,1,30,2,6,1,13,1,30,2,28,1,6,1,30,1,13,1,28,2,29,1,28,2,29,1,28,1,6,1,28,1,29,1,28,4,6,1,28,1,13,1,28,1,6,4,29,1,28,1,30,2,29,2,28,1,30,1,6,1,28,2,6,1,30,1,28,1,6,2,28,1,6,1,30,3,28,1,6,1,28,2,6,1,30,1,28,1,7,2,29,1,30,3,29,2,13,2,30,1,6,1,29,1,30,1,7,1,6,1,13,1,29,1,30,4,6,1,13,1,30,1,6,1,28,1,29,2,13,1,6,1,13,2,30,2,6,1,30,5,28,1,30,1,28,1,30,2,28,1,6,1,29,1,28,1,30,1,28,1,6,1,28,2,29,1,6,1,28,2,30,2,6,1,30,1,28,1,30,2,28,1,29,1,30,1,28,1,6,2,13,1,6,2,13,2,6,1,13,1,6,1,30,1,6,1,30,2,7,1,13,1,11,1,16,2,17,1,16,5,11,1,17,1,11,1,16,1,11,1,10,1,9,1,11,1,9,1,11,1,16,2,11,3,16,2,9,1,16,1,9,1,11,1,9,1,11,1,9,1,8,1,9,4,13,1,8,1,9,1,13,1,9,1,13,1,9,1,11,1,9,4,16,1,11,2,9,3,10,1,9,1,10,1,9,4,10,1,8,1,13,4,7,1,30,1,29,1,30,2,28,1,8,1,13,1,6,1,28,24,12,1,17,3,11,2,9,1,8,1,9,1,8,2,7,1,8,2,6,1,8,1,13,1,30,1,7,1,29,1,6,2,30,1,6,4,28,2,30,3,28,1,30,1,28,1,29,1,6,1,29,1,30,1,10,1,28,7,29,1,30,2,29,1,30,1,6,1,30,1,28,2,6,1,30,1,29,1,6,1,28,1,6,2,28,2,30,1,6,1,28,3,30,1,28,1,29,1,28,2,30,1,6,1,30,1,29,1,30,1,28,1,6,1,30,1,28,2,6,2,30,1,7,1,30,1,6,1,28,1,6,1,7,2,30,1,6,2,30,1,6,3,7,1,28,1,30,1,6,1,28,1,29,1,28,1,30,1,28,1,30,1,28,4,29,1,30,1,28,2,7,1,29,1,30,2,29,1,6,1,28,1,6,1,29,1,30,2,13,1,30,1,6,1,30,1,6,1,28,5,6,1,28,3,30,1,28,1,29,1,7,1,13,1,6,1,30,1,6,1,30,1,28,150,6,5,13,1,9,1,13,1,16,1,11,1,9,1,11,2,9,3,11,1,9,1,12,1,9,1,17,1,9,1,10,2,9,3,8,1,13,2,9,5,11,1,13,1,9,4,13,5,9,1,13,2,8,1,9,3,11,2,10,1,11,1,9,2,11,1,16,1,9,1,10,1,11,1,16,2,17,1,16,1,17,2,9,1,28,8,7,1,8,1,13,1,6,1,9,1,16,1,30,1,13,1,6,1,30,1,6,1,30,1,6,5,29,1,30,1,13,1,30,2,6,3,30,2,6,1,30,4,28,1,6,3,29,1,6,1,28,1,6,1,30,1,28,1,30,1,29,1,30,2,6,2,29,1,30,2,6,1,30,1,28,1,30,3,28,1,30,1,28,1,6,1,28,1,30,3,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,4,6,1,30,2,6,1,30,2,28,1,30,7,28,2,30,2,28,1,30,1,28,1,30,2,6,1,28,1,30,5,28,1,30,2,6,1,28,3,29,1,28,1,16,1,6,1,28,1,30,1,6,1,30,11,6,1,30,2,6,1,30,1,6,2,30,1,28,1,30,1,28,1,6,1,30,1,6,3,30,3,29,1,28,1,29,1,28,2,30,2,28,1,6,1,30,1,6,1,30,2,6,1,29,1,30,2,28,1,30,1,28,2,30,1,28,1,29,1,28,3,6,1,28,4,30,2,28,1,30,2,28,1,30,3,6,3,30,1,28,1,6,5,30,1,13,2,6,3,30,3,6,2,30,7,13,2,30,6,6,1,30,1,29,1,30,1,6,1,30,1,28,2,30,2,28,1,30,2,28,3,30,1,28,2,30,1,28,2,30,2,28,3,6,1,30,1,6,1,29,1,30,1,28,1,30,1,28,4,6,1,28,2,30,2,28,1,7,1,6,1,30,6,6,1,30,1,28,1,30,1,6,1,30,4,6,2,30,1,28,1,30,6,28,1,30,1,28,1,30,5,28,1,6,1,28,2,30,3,29,1,6,1,30,2,6,1,28,1,29,1,30,1,29,1,30,2,6,5,30,1,6,2,30,1,6,4,30,2,6,1,30,4,13,1,6,5,28,1,30,2,6,2,30,1,28,1,30,1,6,1,30,3,29,1,6,1,30,2,6,2,9,1,7,2,29,1,28,1,30,1,28,4,30,6,6,1,13,1,6,1,13,1,6,1,13,1,30,1,6,1,13,1,6,1,30,1,29,1,30,2,28,1,30,1,29,1,6,1,30,4,29,1,30,7,29,1,30,1,6,1,30,3,6,1,30,1,29,1,6,1,7,1,13,2,6,1,13,2,6,1,13,1,28,1,6,1,30,1,6,1,13,1,6,3,30,4,6,1,28,2,30,2,28,1,29,1,28,1,6,1,28,1,29,1,30,1,28,3,6,1,30,1,6,1,30,1,29,1,30,1,6,1,28,1,6,1,29,2,13,1,30,1,28,2,29,1,17,2,9,1,8,1,13,1,9,1,28,4,13,3,9,1,24,1,9,1,8,1,13,2,8,1,13,2,8,1,13,1,8,3,13,1,24,1,9,3,24,1,10,1,11,1,12,1,10,2,17,1,11,2,9,2,17,2,11,2,13,1,29,1,30,1,28,9,6,1,30,1,29,2,6,1,29,2,28,3,7,1,24,1,17,2,30,1,28,3,13,1,10,1,17,7,12,2,13,3,29,1,6,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,6,13,1,9,1,17,1,9,1,28,1,6,1,30,1,6,2,13,1,7,1,6,2,29,1,28,1,6,1,10,1,8,1,6,1,13,1,7,1,30,1,28,4,6,1,17,5,11,1,17,1,12,3,17,4,12,2,10,1,12,1,17,1,12,1,17,1,10,1,12,3,17,1,10,2,17,1,12,1,17,1,10,1,9,1,12,1,17,2,12,1,10,1,24,1,17,1,12,1,17,2,10,1,12,2,10,1,12,1,17,1,24,1,9,1,24,1,12,1,24,1,12,1,17,11,28,2,30,1,28,1,30,2,28,4,30,1,28,1,30,2,28,1,29,1,28,1,30,2,28,1,30,3,28,1,30,3,28,11,30,1,28,6,30,1,28,1,30,5,29,1,6,1,30,2,6,2,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,4,6,1,30,2,6,3,28,1,30,2,6,1,13,1,17,2,8,1,24,1,6,1,7,1,30,1,6,1,25,1,30,1,25,2,6,1,26,1,25,1,30,1,26,2,27,1,6,2,7,1,6,2,7,1,29,1,28,1,29,1,8,1,6,1,29,2,6,1,30,1,28,1,30,1,29,1,30,1,6,1,13,1,29,2,7,1,13,1,29,1,13,1,24,1,8,1,30,1,6,1,28,1,6,1,29,1,8,1,6,1,13,1,8,1,6,1,8,1,7,2,24,1,8,1,7,1,24,1,8,3,13,1,24,1,8,1,12,1,24,1,25,1,10,1,8,2,7,1,24,1,12,1,24,1,10,1,24,2,25,1,24,1,10,1,24,1,8,1,25,1,24,1,8,1,25,1,26,1,25,1,26,1,25,1,24,2,25,1,6,1,8,1,6,1,8,1,25,2,7,1,25,1,7,1,12,1,25,3,13,1,24,1,10,1,24,1,12,1,24,2,12,2,24,1,12,1,24,1,10,1,24,1,7,1,6,1,29,1,30,1,7,1,28,1,29,1,8,1,7,2,6,2,24,2,8,2,24,1,7,1,8,3,13,1,24,5,10,1,12,2,9,1,10,1,17,1,9,1,12,1,9,1,11,1,12,2,17,8,13,2,30,3,29,1,30,2,6,2,13,1,7,1,6,3,30,1,6,1,30,3,28,13,6,2,8,1,9,1,12,1,8,2,9,2,10,1,9,1,17,1,12,1,9,1,12,1,8,1,9,3,11,1,12,1,17,1,11,1,16,2,10,1,16,1,9,2,11,1,9,1,11,2,9,1,16,1,11,1,9,1,10,1,9,1,11,2,13,1,11,1,9,4,8,3,9,1,13,1,11,1,8,1,9,1,11,1,17,1,11,1,17,1,11,1,17,1,11,1,17,4,11,1,9,1,13,1,9,1,11,1,6,1,11,1,9,3,8,1,13,1,9,4,11,1,9,4,8,1,9,1,8,1,9,2,8,1,9,5,13,1,9,3,17,1,11,1,9,3,11,1,16,1,9,4,11,1,9,1,17,1,10,1,11,1,16,1,11,1,16,1,11,3,16,1,11,1,16,2,9,1,11,5,13,1,11,1,8,1,9,1,8,1,9,3,11,1,9,1,8,2,13,1,7,1,9,1,13,1,17,1,11,1,17,2,11,1,12,1,10,1,8,1,9,1,7,1,8,1,24,1,8,1,24,1,8,2,29,1,8,1,6,1,7,1,6,1,8,2,24,1,8,2,6,1,7,1,13,3,24,1,30,1,24,2,6,1,24,2,9,2,17,1,8,1,12,2,9,1,17,2,12,1,17,3,9,1,13,1,11,1,8,1,13,2,6,1,9,1,8,1,9,1,13,3,11,1,13,1,11,1,8,2,9,1,8,1,9,6,13,1,9,4,16,1,9,1,16,2,11,1,9,1,11,1,8,1,28,13,7,1,14,1,11,2,14,1,15,1,9,1,8,1,24,1,13,1,8,1,13,1,6,1,30,2,28,1,29,1,28,1,30,1,28,2,6,1,8,1,9,1,15,1,9,1,15,1,12,1,9,1,13,1,28,7,7,1,9,1,8,2,7,1,29,1,28,34,24,1,14,1,24,1,8,1,7,1,6,1,8,1,15,1,9,1,24,1,6,1,30,1,29,1,28,2,6,1,24,3,10,1,12,1,8,1,13,1,28,4,30,1,8,2,6,1,28,2,30,3,6,2,24,2,14,1,12,2,17,1,9,1,7,1,30,1,7,1,13,1,8,1,17,1,9,1,13,1,28,3,29,1,9,1,13,1,30,1,28,48,8,1,24,2,6,1,28,5,}, {28,1,30,1,28,1,8,2,30,1,28,30,13,1,6,1,28,1,30,1,28,2,30,1,7,1,6,1,8,1,28,2,6,3,28,1,29,1,28,7,30,1,6,1,8,2,28,6,7,1,13,1,9,1,7,1,13,1,6,1,28,10,6,1,24,1,6,1,28,46,29,1,7,1,28,1,29,1,9,1,10,1,6,1,28,4,13,2,24,1,28,1,6,1,30,1,29,1,13,3,7,1,6,1,30,1,28,7,6,1,13,2,6,1,30,1,28,5,13,1,24,1,10,1,24,1,17,1,15,1,11,1,24,1,12,1,24,1,9,1,24,3,15,1,9,1,13,1,30,1,6,1,7,1,6,2,24,1,28,36,29,1,28,1,30,1,8,1,24,1,10,1,28,5,6,1,10,1,12,1,8,2,13,1,24,1,13,1,6,1,13,1,29,1,30,1,6,4,13,2,28,1,6,2,13,1,6,2,24,1,8,2,10,1,9,1,14,3,13,1,28,67,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,1,6,1,29,1,30,1,28,1,13,1,30,1,28,2,29,1,6,2,30,1,6,1,28,1,6,1,30,1,29,1,6,1,28,1,6,1,29,1,28,1,6,1,30,2,6,2,30,2,6,1,28,3,13,1,30,1,29,1,30,1,28,2,29,1,28,2,30,1,28,1,30,2,28,1,6,1,30,1,7,1,29,1,30,2,6,1,30,1,28,1,30,2,7,1,6,1,28,1,30,2,13,1,29,1,13,1,30,1,13,1,30,1,6,1,29,1,28,1,30,1,6,1,30,1,28,3,6,1,13,2,6,1,13,1,6,1,24,1,8,1,13,1,6,1,30,1,6,1,30,1,28,2,30,1,28,2,6,1,28,2,6,1,28,3,29,1,28,1,29,1,28,1,30,1,28,2,6,1,28,1,30,1,29,1,6,1,28,2,30,1,28,3,30,1,29,2,28,1,30,1,29,1,7,1,6,1,29,1,13,1,6,1,7,1,6,1,30,2,6,1,28,1,30,1,6,1,13,1,9,1,16,1,11,1,16,1,17,1,16,1,17,1,16,3,11,1,16,1,11,2,16,1,11,2,16,1,11,1,9,2,11,1,16,1,17,1,11,2,17,1,11,1,9,1,16,1,8,1,9,2,13,1,9,1,10,1,13,1,9,6,8,1,9,3,8,1,11,1,9,3,10,1,9,4,11,2,10,1,9,3,8,2,9,1,8,2,13,1,6,1,28,2,29,1,30,1,6,1,7,1,28,26,24,1,9,1,12,1,10,1,9,1,10,1,9,2,13,2,8,2,13,5,7,1,13,1,30,4,29,1,6,1,29,1,28,1,6,1,30,1,29,1,30,3,28,1,29,1,30,1,28,1,29,1,28,1,6,1,7,1,28,5,29,1,6,1,29,2,28,1,30,1,28,1,30,1,7,1,13,1,30,4,13,1,28,1,6,1,28,3,30,1,29,1,30,4,28,1,6,1,28,1,6,1,29,1,28,6,30,4,6,1,28,1,29,1,7,1,13,2,6,2,30,1,7,1,29,1,24,1,13,1,30,1,7,1,13,1,30,1,6,2,28,1,7,1,30,2,29,1,30,1,29,1,30,1,6,1,30,1,28,1,6,1,29,1,6,1,30,1,29,1,30,2,28,3,7,1,28,1,29,1,30,1,6,1,28,1,29,1,28,2,29,1,28,4,30,1,28,6,29,3,6,1,7,1,24,1,13,1,6,1,28,8,30,1,28,29,30,1,28,109,13,1,6,1,13,1,6,1,13,3,11,1,17,1,16,1,17,1,11,2,12,1,17,1,11,1,24,1,13,1,11,1,17,1,12,1,10,1,9,1,24,1,11,3,13,1,9,1,13,1,8,1,9,2,13,1,9,2,16,2,9,3,13,2,9,3,8,2,13,1,9,3,16,1,9,1,16,1,11,1,9,4,16,5,17,1,16,2,17,1,16,1,28,9,13,4,8,1,9,1,30,1,6,1,30,1,6,1,30,3,28,1,6,2,30,3,6,4,29,1,30,1,6,1,30,5,29,2,28,1,30,1,28,1,6,2,30,3,6,1,30,3,6,1,30,1,28,1,30,1,28,1,6,1,28,1,30,1,29,1,6,1,28,1,30,1,28,1,29,1,30,1,28,1,29,1,30,2,28,2,30,3,28,1,30,5,28,1,30,2,28,1,30,1,6,1,29,1,30,1,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,2,6,1,28,1,30,6,28,3,30,4,6,1,30,2,6,1,16,1,28,1,6,2,28,3,30,1,28,1,30,2,6,1,30,4,6,1,30,1,29,1,30,6,28,1,30,1,6,1,30,1,28,1,6,2,30,1,6,1,30,8,28,2,30,2,28,1,30,3,6,1,28,1,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,8,30,2,6,1,30,1,6,2,30,6,6,2,30,1,13,1,29,1,6,1,30,1,6,2,30,1,6,4,30,5,28,1,30,1,13,2,29,1,30,3,28,1,30,3,6,1,30,2,28,2,30,2,28,1,30,1,28,1,30,2,28,6,30,2,28,2,30,2,28,1,30,4,28,1,30,1,28,2,30,2,28,4,30,3,6,3,30,1,28,1,30,3,6,1,30,2,6,2,30,1,28,4,30,1,6,1,30,1,6,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,6,1,30,4,28,1,30,1,28,1,6,1,30,1,6,2,30,1,6,2,30,1,7,1,13,1,30,1,29,2,30,2,6,1,28,1,6,1,30,2,6,3,29,1,28,1,6,5,29,1,6,1,28,1,7,1,30,4,29,1,6,1,30,1,6,3,13,1,6,2,30,1,6,1,30,1,7,1,28,2,30,3,6,1,8,1,9,1,13,1,6,1,28,4,30,1,28,2,30,4,28,1,30,1,6,1,7,1,6,1,13,1,29,1,6,3,13,1,6,1,30,1,7,1,30,1,6,1,30,3,6,3,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,2,29,1,28,1,6,1,30,1,6,1,29,1,6,1,7,1,13,1,7,1,13,1,6,1,7,1,13,1,6,1,28,1,13,1,6,1,30,1,6,2,29,1,6,2,30,2,6,1,30,3,6,1,30,1,28,3,30,1,28,1,30,6,28,1,29,1,30,1,28,1,30,1,28,1,29,1,30,1,7,1,6,1,13,1,6,1,29,1,28,2,6,1,7,1,6,2,28,5,13,1,9,1,8,1,24,1,10,2,13,1,8,1,7,2,13,1,24,2,7,1,24,1,8,2,9,1,13,1,9,1,10,1,9,1,11,1,9,2,12,1,9,1,17,2,12,1,17,5,12,1,9,1,7,1,29,1,30,2,28,9,30,2,28,1,29,1,6,1,28,4,6,1,11,1,17,1,12,1,17,1,28,2,30,1,29,1,12,1,17,5,12,2,8,1,13,1,7,2,6,1,30,1,28,7,29,1,28,2,30,1,28,7,30,1,6,1,11,1,13,1,28,1,13,2,29,1,6,2,7,1,30,1,6,2,28,2,11,1,10,1,13,1,7,1,13,1,30,1,28,1,30,1,28,1,30,1,9,1,17,4,12,1,17,7,12,1,17,4,10,1,17,1,12,1,17,2,12,1,17,1,10,1,17,2,12,4,17,1,12,1,17,1,10,1,9,1,17,1,12,1,10,3,24,2,12,1,10,1,24,2,9,1,17,1,9,1,12,1,10,2,9,1,12,1,17,1,12,1,17,9,28,3,30,1,28,2,30,1,28,9,30,4,6,1,28,1,30,1,28,9,30,1,28,1,30,1,28,2,30,2,29,1,28,5,30,2,6,1,29,1,30,2,28,1,6,2,29,2,30,6,28,2,30,1,28,2,30,1,6,2,30,2,29,1,30,1,28,1,6,1,30,1,28,1,6,1,13,1,8,1,17,1,9,1,24,1,13,1,7,3,8,1,25,5,6,1,29,1,27,1,25,1,29,1,6,1,26,1,25,2,28,1,7,1,29,1,6,2,30,1,6,1,29,1,6,1,28,1,25,1,7,1,8,1,7,1,6,3,29,1,6,1,30,2,6,1,13,1,7,1,13,1,29,1,6,1,29,1,24,1,8,1,13,1,8,1,6,1,7,1,13,2,24,1,7,1,29,1,24,1,13,1,8,1,7,1,24,1,29,1,6,1,8,1,24,1,8,1,24,1,6,1,24,2,25,1,8,3,24,1,10,1,24,1,8,1,17,1,24,2,25,1,24,3,26,1,8,1,25,2,8,1,26,1,25,2,24,1,27,1,8,1,6,1,8,1,25,1,30,1,25,1,8,1,24,1,8,1,13,1,24,1,8,2,24,1,7,1,24,1,12,1,24,1,12,1,24,1,12,1,24,1,12,2,24,2,6,1,28,1,29,1,6,1,29,1,25,1,6,1,8,1,30,1,8,1,25,2,30,1,8,2,7,1,24,3,7,1,24,4,8,1,12,1,24,1,9,1,12,4,24,1,10,1,12,1,11,2,10,1,8,1,10,2,9,1,17,5,11,1,17,1,11,1,13,1,30,1,7,1,30,1,28,2,6,1,29,2,13,1,7,1,13,3,30,1,28,1,30,1,28,1,6,2,30,1,28,9,29,1,13,1,7,1,24,1,9,1,17,1,13,1,12,1,13,1,8,1,12,2,17,1,9,4,11,1,9,3,10,1,9,2,17,1,11,2,9,5,13,1,9,2,11,1,9,1,11,2,16,1,9,2,11,1,9,1,8,1,9,4,8,1,9,1,8,1,9,1,11,1,9,1,16,1,11,1,9,1,16,1,11,1,9,1,10,1,17,3,11,1,16,1,9,3,8,3,9,1,6,1,9,1,11,1,13,1,7,1,11,1,8,1,9,1,13,1,11,1,8,1,11,1,9,2,11,1,10,1,8,1,9,1,10,1,9,2,13,1,7,1,13,1,9,3,11,1,10,1,8,1,11,1,9,2,16,2,9,2,13,1,9,3,11,1,16,2,11,1,16,1,9,1,11,1,9,1,11,1,17,1,11,1,16,2,10,1,11,1,9,2,16,1,8,1,11,1,13,1,11,1,8,1,9,1,13,1,11,1,9,2,13,1,11,1,9,1,13,1,8,1,9,2,11,1,12,1,17,1,9,2,17,1,9,1,12,1,13,1,8,1,24,2,8,1,29,1,13,1,7,1,13,1,7,2,8,4,13,1,7,1,9,1,24,2,7,1,13,3,8,2,13,2,8,1,24,1,8,2,10,1,24,1,12,1,24,1,11,1,10,2,17,4,12,1,17,1,13,1,8,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,9,1,8,1,6,1,9,3,13,1,9,1,13,2,9,1,13,1,9,1,11,1,9,2,17,1,9,1,11,1,9,1,16,1,11,1,16,2,11,2,13,1,28,5,30,1,28,7,13,1,14,1,15,1,11,1,15,2,12,1,8,2,13,1,6,1,7,1,6,1,30,1,6,1,30,1,29,1,7,1,6,2,29,1,8,2,24,1,9,1,24,2,10,2,29,1,28,6,7,1,8,1,24,2,13,1,8,1,29,1,28,34,14,1,12,1,10,1,13,1,30,1,29,1,7,1,17,1,9,1,13,2,6,1,30,1,29,1,28,1,6,1,13,1,15,2,24,1,10,1,8,1,7,1,28,5,24,1,8,1,13,1,28,2,30,2,6,1,29,1,8,1,13,1,8,1,17,2,11,1,17,1,8,2,6,1,13,1,6,1,24,1,17,1,10,1,6,1,28,3,13,1,16,1,13,1,28,49,8,1,15,1,13,1,28,6,}, {6,1,28,1,7,1,13,1,8,1,29,1,28,6,30,1,29,1,28,28,30,1,6,2,13,1,30,1,28,2,13,1,6,1,13,1,28,8,6,1,8,1,17,1,6,1,28,6,7,1,9,1,24,1,8,1,13,1,28,4,30,1,28,6,13,1,8,2,28,47,6,1,28,1,8,1,10,1,17,1,7,1,28,1,29,1,28,3,10,1,24,1,6,1,7,1,6,1,30,1,7,1,13,2,29,1,6,1,28,8,6,1,7,1,6,1,8,1,28,6,13,1,12,1,17,1,12,1,9,1,12,1,17,1,9,1,16,1,9,2,8,2,11,1,9,1,15,1,13,1,7,1,6,1,30,1,6,1,13,2,28,37,30,1,6,1,8,1,15,1,9,1,28,6,9,1,24,1,9,1,29,1,24,1,8,1,6,1,29,3,6,2,13,1,6,1,29,1,6,2,28,1,6,2,13,3,29,1,8,1,10,1,8,1,9,1,14,3,9,1,28,73,30,1,28,5,6,1,13,1,28,1,6,1,29,1,30,1,28,1,13,1,29,1,28,1,29,1,28,1,29,1,13,1,30,1,28,1,30,1,13,1,6,1,28,3,29,1,30,1,28,2,6,1,30,3,29,1,6,1,7,1,29,2,6,3,28,1,30,1,29,2,7,1,30,1,28,3,30,1,6,1,28,1,6,1,28,3,30,2,28,2,29,1,30,3,6,1,30,1,28,2,6,1,30,1,29,1,13,1,6,3,29,2,30,1,29,1,6,1,29,1,28,2,13,1,6,3,30,1,29,1,13,1,6,1,13,1,8,2,13,2,30,2,28,1,6,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,30,2,29,1,30,1,28,2,30,1,29,1,28,1,6,1,29,1,28,1,30,1,28,1,29,1,28,3,30,1,29,1,28,2,29,1,28,1,30,1,28,1,30,1,6,1,7,1,6,1,13,1,7,1,13,2,29,1,6,1,30,1,28,1,30,2,8,1,11,1,16,3,17,1,16,4,11,1,9,1,16,2,11,3,9,1,16,1,9,1,11,1,16,1,11,1,16,2,11,1,8,1,11,1,9,1,11,1,13,1,11,1,9,6,13,1,9,2,8,1,9,4,11,1,8,1,16,1,9,1,10,2,9,1,11,1,9,1,10,1,11,1,10,1,9,1,10,1,8,1,9,2,13,1,9,2,13,1,6,1,13,1,6,1,30,1,29,2,7,1,6,1,28,27,24,1,9,4,13,1,9,1,8,1,9,1,8,1,13,1,8,2,6,1,7,1,8,1,7,1,6,1,29,1,6,1,7,1,30,2,29,1,30,1,6,1,30,1,29,1,30,1,29,1,28,5,29,1,28,2,30,1,29,1,7,1,13,1,30,1,28,3,29,2,30,2,29,1,28,3,30,1,6,1,30,2,6,1,29,1,6,1,28,1,30,1,6,1,29,2,28,3,30,1,28,6,30,1,28,1,30,1,28,5,29,1,28,1,6,1,30,1,6,1,30,1,28,1,13,1,29,1,7,1,6,1,28,1,6,1,28,1,6,1,30,1,13,2,28,1,6,2,28,1,6,2,28,1,6,1,28,6,30,4,28,3,30,1,28,1,30,1,28,2,6,1,13,1,30,2,6,1,30,1,28,4,30,1,28,1,30,1,28,3,30,2,28,3,30,2,6,1,30,1,8,1,29,1,8,1,13,1,8,2,7,1,28,2,29,1,28,30,30,1,28,109,6,1,7,1,8,1,30,1,6,1,30,1,13,2,16,1,17,1,11,1,12,1,17,2,12,3,9,1,11,1,12,1,17,2,9,1,10,1,11,1,9,1,16,1,11,1,8,2,13,2,11,1,13,1,8,2,13,1,16,1,9,2,13,1,9,1,13,2,9,1,13,1,9,1,13,4,9,1,13,1,9,2,11,2,9,2,16,2,17,1,16,1,11,1,16,3,11,1,16,1,11,1,30,1,28,8,6,1,13,2,6,1,13,2,6,3,28,1,6,1,29,2,30,1,6,2,30,1,6,2,30,1,6,3,30,1,29,1,30,1,29,1,6,1,29,1,30,4,6,1,29,1,6,1,29,1,30,1,6,2,29,1,30,1,28,1,29,1,30,3,6,1,30,1,6,2,30,1,29,1,30,3,6,1,30,1,6,1,30,2,6,1,30,1,29,1,30,2,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,6,1,30,4,29,2,28,3,30,2,28,6,30,3,28,3,6,2,30,4,7,1,30,2,29,1,6,2,30,1,28,1,30,2,13,1,10,1,6,2,30,3,28,1,30,2,6,1,28,3,30,1,6,1,30,1,28,1,30,1,6,1,30,3,6,1,30,4,29,1,6,4,28,1,30,1,28,1,30,2,6,1,28,1,6,1,30,1,6,1,30,1,28,1,30,1,6,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,5,28,4,6,1,30,1,6,1,28,1,30,1,29,1,30,2,6,3,13,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,13,1,30,1,28,1,29,1,28,1,30,1,6,1,30,1,6,1,29,1,30,1,8,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,2,28,2,30,1,6,1,28,1,30,7,28,6,30,1,28,1,30,1,28,1,30,2,28,1,6,1,28,2,30,1,28,1,6,1,30,1,28,5,30,1,28,4,30,1,13,1,29,1,28,1,6,1,30,3,6,1,28,1,30,3,29,1,30,4,6,2,30,2,28,3,30,1,28,1,30,5,6,1,28,1,6,2,30,1,6,2,30,3,6,1,30,1,6,4,30,2,6,1,28,1,30,2,6,1,30,1,6,1,30,3,13,1,28,2,6,4,29,1,30,1,6,1,30,1,6,3,30,2,29,1,30,1,13,1,30,1,6,1,30,1,6,1,30,2,29,1,28,1,6,2,28,1,6,1,30,6,9,1,13,2,28,1,29,1,28,3,6,1,28,1,30,1,28,2,6,1,30,2,7,1,6,2,30,1,6,4,30,1,6,2,30,2,6,1,30,2,29,1,6,4,30,3,6,1,30,1,6,2,30,1,6,1,28,1,30,1,6,1,30,2,28,1,6,1,30,2,6,3,30,1,13,1,30,2,13,1,28,1,7,2,30,1,6,3,30,1,6,1,30,2,13,1,30,9,28,3,30,2,28,1,30,2,29,1,30,4,6,1,30,1,28,1,30,3,6,5,28,1,6,1,28,8,16,1,8,1,10,1,24,1,9,1,24,1,8,1,7,1,13,1,8,2,24,3,10,1,9,1,8,1,24,1,9,1,8,1,9,2,11,1,9,1,11,1,12,1,17,9,11,1,13,1,6,1,28,14,30,2,28,5,9,1,17,1,12,1,17,2,9,1,10,1,24,1,12,1,17,3,12,2,8,2,7,1,29,1,6,1,7,1,28,8,29,1,28,2,30,1,28,1,30,2,28,5,30,1,29,1,9,1,6,1,13,3,6,3,13,2,6,2,28,2,29,1,9,1,8,1,6,1,8,2,6,1,28,2,13,1,17,2,12,1,17,8,12,1,17,2,12,1,17,1,12,1,17,3,12,1,17,1,11,1,12,1,17,1,10,1,9,1,12,1,24,1,12,2,10,1,12,3,17,1,10,1,17,1,9,1,10,1,12,1,9,1,12,1,17,1,24,1,17,1,8,1,12,2,17,1,9,2,12,2,17,1,10,1,17,1,11,1,17,9,30,1,28,1,30,2,28,1,30,1,28,6,30,1,28,3,6,1,30,6,28,4,30,1,28,3,30,1,28,4,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,3,29,1,6,1,28,1,6,1,30,3,6,1,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,2,6,2,13,1,6,2,28,1,30,1,28,1,30,2,13,1,9,1,17,1,9,1,8,1,24,1,13,1,6,1,25,1,6,1,28,1,26,1,27,2,8,1,27,1,25,1,29,1,27,1,8,1,29,2,24,1,6,2,29,1,7,1,29,4,30,1,29,1,27,1,29,2,6,1,28,2,6,1,29,1,30,1,28,1,7,2,28,1,8,1,6,5,7,2,29,1,13,1,29,1,6,1,29,1,8,1,24,1,29,1,6,1,13,2,8,2,6,1,24,2,8,2,24,4,8,1,6,1,25,1,24,1,8,1,7,1,8,1,24,6,25,1,24,1,25,3,26,1,25,2,24,1,25,1,8,2,26,1,24,1,27,1,25,4,8,2,25,1,8,1,13,1,8,2,24,1,10,2,13,1,12,1,10,1,24,1,12,1,10,1,24,3,7,1,29,1,30,1,7,1,30,1,7,1,6,1,29,1,6,1,29,2,6,1,7,1,25,1,24,1,25,1,6,1,8,1,7,1,24,1,13,1,12,1,6,1,10,1,13,2,24,1,8,1,10,1,9,1,12,1,17,1,24,1,8,1,10,1,12,1,10,1,9,1,11,1,10,2,9,1,11,1,17,8,11,2,13,2,24,1,13,1,30,1,6,1,13,1,7,1,13,3,7,1,13,4,6,1,7,1,28,1,30,1,28,8,13,1,30,1,8,2,12,1,11,1,9,1,8,1,9,1,8,1,10,1,9,1,12,3,10,1,8,1,10,1,9,1,11,1,8,1,11,1,9,1,17,1,9,1,16,1,9,1,10,1,9,2,13,1,11,2,13,1,11,1,13,1,8,1,13,1,11,1,13,1,16,1,13,1,11,1,8,1,9,3,13,1,11,1,13,1,9,1,10,2,11,1,10,1,9,2,16,1,17,1,11,2,16,1,17,4,16,2,9,2,13,1,10,1,9,1,13,1,9,3,10,1,8,1,9,1,8,1,9,1,8,1,9,2,11,1,9,1,8,1,9,4,13,1,9,2,13,1,8,1,13,1,9,1,13,2,11,1,9,1,16,2,9,1,11,1,9,2,8,1,9,2,11,2,9,1,17,1,9,1,17,1,11,2,17,1,16,2,11,2,9,1,16,1,9,1,16,1,9,1,11,1,16,2,9,3,13,1,9,1,8,1,13,1,11,1,8,1,13,1,9,1,11,1,13,1,11,1,9,1,17,1,11,1,17,2,11,1,17,2,10,1,12,1,10,1,8,2,13,1,6,1,13,2,7,1,10,1,7,1,6,1,8,1,13,1,24,1,9,1,13,1,12,1,10,1,8,3,24,1,9,1,6,1,13,1,24,2,8,1,13,1,8,1,24,1,8,1,10,1,13,1,8,1,17,2,10,2,11,1,10,1,12,1,11,1,17,2,12,1,9,1,13,1,11,1,8,2,9,1,13,2,8,1,9,1,13,1,8,1,9,1,13,1,9,1,13,1,8,3,9,3,8,1,9,1,13,1,9,1,16,1,9,1,11,1,9,1,16,1,10,1,11,4,17,1,10,1,28,4,30,1,28,3,30,1,28,4,6,1,14,1,15,1,10,1,12,2,24,2,13,2,7,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,7,1,29,1,30,1,6,1,8,1,9,2,8,1,9,1,11,2,13,1,28,3,30,1,28,3,13,1,8,2,13,1,6,1,28,35,8,1,9,2,8,1,6,2,8,1,9,1,12,1,8,1,29,1,28,1,29,1,30,1,28,1,6,1,9,1,24,1,10,3,24,1,6,1,28,5,13,1,9,1,6,1,30,1,29,1,28,1,29,1,30,2,6,1,13,1,9,1,10,1,17,2,16,1,12,1,24,1,13,2,7,1,13,1,17,1,9,1,13,1,28,3,13,1,10,1,7,1,30,1,28,46,30,1,28,1,13,1,11,1,8,1,28,6,}, {28,1,30,1,13,1,7,1,8,1,28,7,30,1,28,30,7,1,13,2,6,1,28,2,8,1,7,1,6,1,28,8,6,1,13,1,9,1,8,1,28,6,9,1,8,1,9,1,13,1,29,1,28,11,29,1,13,2,28,45,6,1,28,1,29,2,8,1,10,1,12,1,6,1,28,5,12,1,8,1,29,1,30,1,28,1,30,1,13,1,6,1,29,1,30,1,28,1,30,1,28,8,6,2,7,1,28,6,30,1,10,1,9,2,17,1,9,1,10,1,11,1,17,1,24,1,11,1,24,1,8,2,14,1,24,1,13,1,6,1,13,1,6,1,29,1,13,1,24,1,30,1,28,33,29,1,28,3,29,1,6,1,24,1,13,1,28,1,30,1,28,3,29,1,8,1,24,2,13,1,8,1,13,1,6,1,7,1,13,1,28,1,6,3,13,1,29,1,13,1,6,1,7,1,6,1,13,1,7,1,6,1,13,1,8,1,13,1,9,1,10,2,14,1,17,1,14,1,9,1,30,1,28,60,6,1,28,17,6,1,28,1,6,1,29,1,6,2,29,1,6,1,29,1,30,1,28,3,13,1,28,1,6,3,30,1,28,3,6,1,28,1,29,1,6,1,30,1,6,1,7,1,28,1,29,1,30,1,28,1,13,1,30,1,6,1,30,1,6,2,28,4,29,1,7,1,30,1,6,1,30,2,28,3,6,2,30,1,28,1,29,1,30,2,28,1,6,1,30,1,6,1,30,2,28,1,6,1,29,1,7,1,6,1,28,1,6,2,28,1,30,1,29,1,30,1,28,1,7,1,30,1,28,1,30,1,6,1,28,1,30,1,6,2,13,2,7,1,13,2,9,1,11,1,6,2,30,1,28,1,29,1,28,1,29,2,28,2,29,1,28,1,30,1,6,2,28,2,30,1,28,3,30,2,29,1,6,1,29,1,6,1,30,1,28,1,30,1,28,1,30,1,6,1,30,3,29,1,28,1,6,3,29,1,30,1,6,1,13,1,6,1,13,1,6,1,28,4,30,1,9,1,10,1,16,2,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,1,9,1,11,5,10,1,11,2,9,1,16,1,11,2,9,1,11,1,10,1,13,1,9,2,13,1,8,1,9,1,13,1,9,2,13,2,9,5,8,1,11,1,9,1,16,2,9,1,11,1,9,10,8,1,13,2,6,2,30,1,6,1,29,1,13,1,8,1,28,28,8,1,16,2,8,1,9,2,8,1,10,1,13,5,8,1,13,1,7,1,13,1,6,1,13,1,29,1,30,1,7,1,30,1,29,1,28,1,7,1,28,1,30,1,6,1,30,1,28,1,29,1,30,2,28,1,30,2,28,2,7,2,13,1,7,1,28,1,29,1,28,1,13,1,28,1,29,1,30,1,28,1,30,3,28,1,30,1,6,1,28,2,7,1,30,2,7,1,28,1,6,1,28,1,6,1,28,1,29,1,28,3,30,2,28,4,30,1,28,5,30,1,28,2,7,1,28,1,30,1,7,1,30,1,6,1,29,2,30,1,13,1,6,3,29,1,7,1,6,1,13,1,6,1,30,1,6,1,7,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,28,1,6,1,28,1,30,1,28,2,30,2,28,2,6,1,28,1,30,1,6,1,7,2,29,1,6,1,28,2,6,1,28,11,30,3,6,1,28,1,7,1,8,2,9,1,11,1,8,1,13,2,9,1,8,1,13,1,6,2,30,1,28,137,29,1,13,2,6,1,29,1,6,1,13,1,16,2,17,1,11,1,17,2,11,1,17,3,24,1,12,1,17,4,9,1,12,1,9,3,8,2,13,2,9,1,13,2,9,1,11,1,13,3,9,1,13,5,8,1,9,1,13,2,9,5,16,1,9,2,11,1,16,2,17,1,16,7,13,1,28,8,30,1,9,1,13,1,6,1,13,3,30,1,13,1,6,2,30,1,6,1,28,1,6,1,30,1,6,3,30,1,6,2,30,2,6,2,28,1,6,1,30,2,6,3,30,4,6,1,28,1,30,3,6,1,30,1,6,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,30,3,6,1,30,1,6,1,28,1,30,2,6,1,30,3,28,3,30,1,28,1,30,1,6,1,28,1,30,1,6,1,30,2,6,1,28,2,30,2,28,1,30,3,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,4,28,1,6,1,30,1,6,1,30,2,28,3,30,3,29,1,30,3,13,1,9,1,6,1,28,10,30,1,28,1,30,1,28,3,30,1,28,3,30,2,28,1,29,1,6,1,30,1,6,1,28,1,6,1,30,1,28,1,29,1,30,2,6,1,30,1,6,1,30,1,28,1,30,3,29,1,28,1,6,1,30,4,28,1,6,1,28,4,30,1,28,3,6,1,28,2,30,1,28,1,30,1,28,2,30,5,6,1,28,1,6,1,30,1,6,1,30,2,6,1,30,2,6,1,7,1,30,1,6,2,30,1,6,1,30,1,28,1,30,1,29,1,28,1,30,3,6,1,28,1,6,1,30,3,8,1,13,1,6,1,28,1,30,1,6,2,28,1,6,2,30,3,28,3,30,1,28,1,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,30,3,28,1,30,2,28,1,29,1,28,1,30,3,28,1,30,1,28,1,29,1,28,1,30,1,28,4,29,1,30,1,28,1,30,1,6,1,30,1,29,1,30,1,29,1,30,2,28,1,30,1,6,2,30,6,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,3,6,1,28,1,6,2,30,1,6,1,30,2,29,1,30,1,13,1,29,1,6,5,28,1,30,1,6,1,30,2,29,2,30,1,28,1,6,1,30,4,6,1,30,2,6,1,30,1,29,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,28,1,7,1,30,1,6,1,30,2,29,1,13,1,30,5,28,1,30,1,6,1,30,1,28,1,6,1,9,1,13,2,30,1,28,1,6,1,28,2,30,1,28,2,30,1,29,1,28,1,6,5,29,1,6,2,30,1,6,1,29,1,30,1,6,5,30,1,6,1,13,1,6,2,30,1,6,1,29,1,30,1,6,2,30,1,29,1,30,4,28,1,30,3,6,1,30,1,28,1,30,2,13,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,6,4,30,2,6,1,30,1,6,1,30,1,28,1,30,1,6,1,30,4,28,1,6,1,28,1,6,1,30,4,6,1,30,2,28,1,6,1,30,7,29,1,30,2,6,1,30,3,6,2,13,1,30,1,29,1,6,1,28,2,8,1,12,1,9,1,10,2,9,1,10,1,9,1,8,1,13,1,8,1,9,1,24,2,9,1,8,1,9,1,8,1,9,1,13,1,9,2,10,2,16,1,17,12,13,1,6,1,28,16,30,1,28,3,29,1,11,1,17,10,12,1,8,1,7,1,6,1,30,1,29,1,6,1,30,4,29,1,7,1,28,1,30,3,13,1,6,5,8,1,13,3,6,1,13,3,6,1,13,2,6,7,7,1,30,1,28,2,9,1,8,1,24,1,8,2,7,1,28,2,9,1,17,13,12,2,17,7,8,1,17,2,12,1,8,1,17,1,10,2,12,1,9,1,24,1,12,1,17,3,12,2,24,1,12,1,17,2,10,1,8,1,10,4,9,2,12,3,10,3,12,1,17,1,12,1,17,7,13,1,28,1,30,4,28,1,30,3,28,4,30,2,6,2,30,2,6,2,28,1,30,1,28,6,30,2,28,3,30,2,28,2,30,4,28,1,30,2,28,2,30,1,28,1,30,2,29,1,30,1,6,1,30,1,6,1,28,2,30,1,6,1,28,3,30,1,28,1,30,1,6,3,30,2,28,1,6,1,30,1,6,1,28,1,30,1,6,1,13,1,9,1,17,1,13,1,8,2,6,1,8,1,25,1,26,1,25,2,27,1,25,4,26,1,25,1,30,1,28,1,25,2,6,1,13,1,25,1,6,3,29,1,30,1,28,2,6,1,28,1,6,1,29,1,6,1,7,1,6,1,29,1,6,1,29,1,7,1,28,1,6,1,30,1,7,1,28,1,30,1,13,1,25,1,13,1,8,1,25,1,24,1,7,1,8,1,25,1,24,1,8,1,7,2,8,3,7,1,24,1,10,1,13,1,10,1,8,1,24,1,12,1,25,1,24,1,8,1,12,1,24,5,8,2,24,2,25,2,24,2,12,1,26,1,8,1,25,5,8,1,25,4,8,1,25,1,8,1,29,1,25,3,8,1,7,1,8,1,10,1,8,1,12,1,10,1,24,1,8,2,12,2,10,2,24,1,7,1,28,1,30,1,29,1,26,1,29,1,28,1,26,1,29,1,6,1,7,1,26,1,8,1,25,3,27,1,24,1,25,1,24,1,13,1,24,5,10,1,8,1,10,3,8,1,12,1,13,1,10,1,9,1,12,1,10,1,9,1,12,1,17,1,8,1,12,1,8,1,17,5,11,1,17,1,11,1,17,1,12,2,10,1,13,2,8,1,9,1,8,1,6,1,13,1,7,1,13,1,9,1,8,1,7,1,8,1,13,3,29,1,30,1,28,7,6,2,13,1,9,1,10,1,11,1,10,1,13,1,8,1,24,1,9,1,10,2,9,1,11,4,9,1,11,2,9,3,11,2,9,2,17,1,9,1,10,1,9,3,13,1,9,3,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,13,2,11,1,9,2,11,1,13,1,16,1,17,1,11,1,17,1,16,1,9,2,17,3,16,1,11,2,9,1,13,1,9,1,8,1,9,2,11,1,8,1,9,1,13,1,9,1,11,1,13,1,11,1,9,5,8,1,11,1,13,1,8,1,16,1,8,1,9,3,8,1,13,1,9,2,8,2,11,1,9,1,11,1,9,5,16,1,13,1,9,5,17,1,16,1,17,1,11,2,16,1,17,1,9,1,16,2,9,1,11,2,9,1,8,1,9,1,11,1,9,3,13,1,8,2,13,1,9,1,10,1,13,1,9,1,8,1,11,1,9,1,12,3,10,1,17,1,9,1,12,1,8,2,10,1,24,1,13,1,12,1,8,1,24,2,8,3,7,1,8,1,13,1,8,2,13,1,12,1,9,1,10,1,9,2,8,1,24,1,13,1,24,1,13,1,8,1,7,1,24,8,9,2,24,1,12,2,11,1,17,5,9,1,8,2,9,1,8,1,13,2,9,1,8,3,9,1,13,1,9,1,13,1,11,1,9,1,13,1,11,1,9,2,13,2,9,2,10,1,9,2,17,1,16,1,11,1,17,1,11,1,9,1,11,2,9,1,28,8,30,1,28,4,8,1,15,1,12,1,15,2,10,2,8,1,6,2,13,1,30,2,28,1,29,1,28,1,30,2,29,1,6,1,13,1,6,1,13,1,10,1,9,2,24,1,10,1,17,1,6,1,28,6,30,1,8,1,13,1,24,1,8,1,6,1,30,1,28,33,30,1,9,1,14,1,8,1,13,2,6,1,24,1,12,1,17,1,8,1,7,2,30,1,29,1,6,1,13,1,8,1,24,2,12,1,8,1,9,1,6,1,28,5,8,1,13,1,6,1,28,1,30,2,29,1,28,1,29,1,8,1,9,1,8,1,12,1,9,1,12,1,17,1,12,1,8,1,13,2,8,1,12,1,17,2,7,1,28,3,13,1,9,1,13,1,30,1,28,47,6,1,8,1,9,1,13,1,28,6,}, {28,1,29,1,6,1,13,1,9,1,30,1,28,5,29,1,30,1,28,30,6,1,13,1,8,1,6,1,28,2,29,1,7,1,30,1,28,9,6,1,12,1,8,1,28,6,24,1,9,1,8,1,13,1,29,1,30,1,28,10,29,1,24,1,13,1,28,44,30,2,6,1,30,2,6,1,24,1,12,1,6,1,30,1,28,1,7,1,28,2,8,1,24,1,28,1,30,1,28,1,29,1,6,2,30,2,6,1,30,1,28,8,29,2,6,1,29,1,28,5,6,1,12,1,9,1,12,2,9,1,12,1,17,1,16,1,10,1,12,1,24,1,9,1,24,1,14,1,24,1,9,1,7,1,6,2,13,2,9,1,28,35,6,1,28,1,29,1,30,1,6,1,8,2,29,1,28,4,30,1,15,1,17,1,24,1,12,1,24,1,8,2,6,2,13,1,28,1,6,1,30,1,13,1,7,1,30,1,6,1,7,1,30,1,7,1,6,2,7,1,8,1,13,1,24,1,17,1,12,1,14,1,17,1,14,1,11,1,30,1,28,62,30,1,28,9,30,1,28,2,30,1,28,1,30,2,28,1,30,1,6,1,28,1,13,1,28,1,30,1,7,1,30,1,6,1,28,1,29,1,30,1,6,3,28,1,7,1,28,2,6,1,30,2,13,1,6,1,13,1,30,1,29,1,13,1,30,1,6,1,30,1,13,1,6,2,30,1,29,1,28,1,6,2,28,1,29,1,28,1,29,1,30,1,29,1,30,1,28,1,30,2,28,2,30,1,28,1,30,2,6,1,30,1,6,1,30,4,6,2,30,2,6,1,29,2,28,1,30,2,28,1,30,1,29,1,28,1,30,1,29,1,28,2,30,1,6,2,30,1,13,1,30,1,6,1,8,1,9,1,13,1,30,1,6,2,30,2,28,2,30,2,28,4,30,3,28,6,30,1,28,2,6,1,28,1,6,2,30,1,28,1,30,1,28,1,30,1,28,1,29,1,6,2,30,1,29,1,6,2,28,1,6,1,7,1,30,1,6,1,29,1,7,1,13,1,30,1,28,1,30,1,6,1,28,1,6,1,9,1,11,1,10,1,16,1,11,2,16,2,11,1,16,1,11,1,16,2,11,1,16,2,11,5,16,1,11,1,16,1,10,1,11,1,9,1,10,1,9,1,10,1,9,1,13,1,8,2,13,1,9,1,13,1,9,1,13,1,9,6,11,1,9,2,10,1,8,1,9,1,10,1,9,2,11,1,9,4,13,1,8,1,13,1,8,1,13,1,8,1,6,4,8,1,13,1,6,1,30,1,28,28,8,1,9,1,11,1,9,3,8,3,13,1,8,1,9,1,8,1,13,1,8,1,7,1,13,1,29,1,28,1,29,1,30,1,28,1,6,2,29,1,28,3,30,1,28,1,30,2,29,1,28,3,29,1,28,2,6,2,29,1,13,1,30,1,6,1,28,1,30,1,6,2,29,2,30,1,28,1,30,3,29,2,30,1,28,1,30,1,29,3,30,2,28,1,30,2,28,4,30,1,29,1,28,1,30,1,28,1,30,3,28,6,29,1,28,1,30,1,29,1,6,1,28,1,30,1,6,1,30,1,7,1,6,1,29,1,6,1,29,2,28,1,6,1,30,1,29,1,30,1,28,1,7,1,30,2,28,1,30,1,28,3,30,1,29,1,28,3,30,1,28,3,30,1,29,2,28,1,30,1,6,1,29,1,28,5,29,1,28,4,30,1,28,3,30,1,28,2,6,1,28,1,29,1,7,1,6,1,13,1,24,1,8,1,12,1,9,1,8,1,9,1,13,1,9,1,13,1,8,1,30,2,6,1,30,1,29,1,6,1,28,131,6,1,8,1,13,1,6,2,30,1,6,1,13,1,11,1,16,1,17,6,12,1,11,1,12,1,10,1,12,1,17,1,12,2,9,1,10,1,16,1,11,1,8,1,13,1,8,1,9,1,13,2,8,1,13,1,9,1,11,1,13,1,9,1,13,8,9,1,13,2,8,1,9,5,10,1,11,1,17,1,9,1,17,2,16,5,17,1,9,1,28,9,8,2,13,1,7,1,13,1,9,1,13,1,6,3,30,1,29,1,30,2,29,1,6,2,30,1,6,1,30,2,6,1,30,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,6,1,30,1,28,1,6,1,30,2,6,1,28,1,30,1,28,2,29,1,28,1,6,1,30,1,6,4,30,1,28,1,30,6,6,2,30,4,28,1,30,2,28,1,6,2,30,1,6,1,30,2,28,1,30,1,28,4,30,1,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,1,28,3,30,1,28,9,30,1,28,12,13,1,8,1,6,1,28,35,30,3,6,1,28,11,30,1,28,7,30,1,28,19,30,1,28,1,30,2,28,2,6,1,30,3,6,1,30,1,7,1,30,1,6,1,30,1,29,1,6,2,30,2,28,1,6,3,29,1,13,2,30,2,6,2,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,7,28,1,30,4,28,2,30,5,6,1,30,1,6,2,30,1,28,3,6,1,28,4,30,3,28,1,6,1,30,2,6,2,30,1,29,1,30,1,6,1,28,1,6,2,30,3,6,1,28,1,30,3,29,1,30,3,28,1,30,1,28,1,30,5,6,1,30,1,28,1,6,2,28,1,30,1,29,1,30,1,6,3,30,1,6,2,28,1,29,1,6,1,30,1,29,1,6,1,30,2,6,1,30,2,6,1,29,1,6,1,30,1,6,2,30,1,6,1,30,4,28,1,30,4,29,1,6,1,30,1,6,1,28,2,30,1,6,1,29,1,6,3,30,2,6,1,30,2,6,1,28,1,6,2,30,1,29,1,6,2,8,1,6,1,29,1,6,1,30,8,6,1,30,2,29,1,30,1,6,2,30,1,29,1,6,4,30,2,29,1,13,1,6,2,29,1,13,1,6,1,13,2,30,2,6,1,30,1,28,1,6,1,30,2,28,1,30,1,28,1,30,3,28,1,6,1,30,3,6,1,7,1,30,1,6,1,29,1,6,2,30,1,6,2,28,1,30,2,6,2,30,1,6,1,30,2,29,1,6,1,28,2,7,1,28,1,30,1,28,1,30,2,29,1,30,1,28,1,30,2,29,1,30,1,28,1,30,1,6,1,30,10,29,1,6,1,30,2,28,1,30,2,29,1,7,1,30,1,29,1,13,2,28,1,6,1,17,1,9,2,24,1,9,1,10,1,11,1,9,1,12,1,9,1,8,1,9,2,8,1,9,1,10,1,9,1,12,1,17,1,9,2,11,1,12,1,17,5,12,1,17,9,8,1,6,1,28,19,29,1,9,1,17,3,12,1,17,2,12,1,17,1,11,1,24,1,13,1,8,1,13,2,6,2,29,1,7,1,13,1,6,1,7,1,29,1,6,2,13,2,6,2,30,1,6,3,30,1,13,2,8,1,9,1,13,1,9,1,13,1,6,3,13,4,6,2,30,2,6,1,28,3,13,1,24,1,13,2,30,1,28,1,13,1,17,8,12,2,17,1,12,4,17,2,11,1,17,6,10,1,12,1,17,3,9,1,12,2,10,1,12,2,17,1,10,1,17,1,12,2,17,2,24,1,17,1,24,1,17,1,24,1,12,1,24,1,10,1,12,1,10,2,12,1,24,1,12,4,17,2,12,1,17,6,12,1,28,1,30,3,6,1,28,2,30,4,28,2,30,1,28,1,6,2,30,1,6,1,30,1,6,1,28,7,30,3,28,1,30,2,28,3,30,1,29,1,30,1,28,1,30,2,28,3,30,2,28,2,30,1,6,1,30,1,28,1,30,1,28,1,30,3,28,2,30,2,28,1,30,3,6,1,28,1,6,2,30,5,28,1,13,1,8,1,24,1,9,1,24,1,13,1,7,2,6,1,8,1,25,1,27,1,25,2,29,1,26,1,27,1,26,1,25,2,6,1,25,1,29,1,25,1,6,1,29,1,10,1,28,2,29,1,26,1,6,2,30,1,6,1,29,2,7,1,6,2,28,1,7,1,28,1,29,1,28,2,7,1,28,1,30,1,29,2,30,1,25,1,8,1,7,1,24,1,29,1,25,1,8,1,6,1,24,3,29,1,7,1,25,1,13,1,24,1,8,1,13,1,25,1,24,1,8,1,24,1,12,1,24,2,8,1,10,1,24,1,12,1,7,1,25,1,10,1,17,1,8,1,24,2,8,1,25,1,24,1,29,1,25,2,8,1,29,1,26,1,25,2,27,1,25,1,24,1,25,1,8,1,25,3,8,2,27,1,24,1,25,1,6,1,24,1,8,2,12,1,8,1,12,1,24,1,10,1,25,1,12,1,24,1,12,1,10,1,13,1,30,1,28,1,29,1,30,1,28,1,6,2,29,1,25,1,30,1,8,1,25,1,27,2,26,1,24,1,25,1,8,1,7,1,24,1,25,1,8,1,7,1,24,1,8,2,13,1,10,1,24,1,10,1,9,1,12,2,10,2,12,2,17,1,24,1,10,1,12,1,9,1,12,1,10,2,17,1,11,1,17,3,16,1,17,2,11,1,17,1,12,2,10,1,24,1,13,2,8,3,13,2,8,2,13,1,8,2,13,1,6,1,7,2,28,6,6,1,13,1,24,1,13,1,11,1,17,1,10,1,8,1,9,1,13,1,12,1,24,1,12,1,9,1,10,2,17,1,10,2,9,1,8,1,11,1,9,2,11,2,9,2,11,1,9,2,8,2,9,5,10,1,11,1,9,1,13,1,16,1,9,2,13,1,8,1,11,1,8,1,9,1,13,1,9,3,17,1,9,1,11,1,9,1,11,1,17,1,16,1,11,2,17,3,16,1,11,1,10,1,13,2,9,1,16,1,9,3,10,1,9,1,13,1,9,1,11,1,13,1,8,1,11,1,9,3,13,1,9,1,13,1,9,1,16,1,9,1,13,2,10,1,13,1,9,1,8,1,9,1,16,1,13,1,10,1,16,2,11,1,13,1,11,1,17,1,13,1,11,1,16,1,9,1,17,2,11,1,16,1,17,1,11,1,16,1,9,1,11,2,16,1,11,1,9,1,11,2,9,1,6,1,11,2,8,1,13,1,9,1,13,3,16,1,8,2,9,1,13,1,8,2,9,1,13,1,9,1,12,1,17,1,12,1,17,1,11,1,17,1,12,1,9,1,13,1,9,1,7,1,8,2,24,1,13,3,6,1,13,1,24,1,9,1,7,1,8,1,11,1,24,1,12,1,11,1,13,1,12,1,24,1,8,3,24,1,13,1,24,1,8,1,7,1,8,1,24,1,13,1,9,1,8,1,13,1,24,1,13,1,9,2,10,1,9,1,10,1,12,2,17,1,12,2,17,1,10,1,7,1,10,1,9,1,8,1,9,1,8,1,9,2,13,1,8,1,13,1,8,1,13,1,6,1,13,1,9,2,13,2,8,1,9,1,13,1,9,1,13,1,10,2,11,1,16,1,11,2,17,1,13,1,9,3,8,1,28,13,8,1,11,1,17,1,12,1,15,1,9,1,24,1,8,1,6,1,8,1,6,1,29,1,28,1,29,1,30,1,28,1,30,1,29,2,6,2,13,1,8,2,9,2,11,1,8,1,10,1,6,1,28,6,6,1,8,1,24,1,8,1,7,2,28,34,30,1,9,1,8,1,12,1,13,1,7,2,8,1,12,1,9,1,12,1,13,1,6,2,30,1,7,2,8,1,24,1,10,1,14,1,15,1,24,1,6,1,28,4,6,1,8,1,13,1,6,1,28,1,30,2,28,1,30,1,6,1,29,1,24,1,11,1,12,1,17,1,12,1,9,3,8,1,13,2,10,1,17,1,9,1,29,1,30,2,28,1,13,1,9,1,8,1,28,30,30,1,28,17,13,2,10,1,6,1,28,6,}, {30,3,7,1,13,1,29,1,28,37,6,1,13,1,6,1,30,1,28,1,30,1,6,3,28,8,30,1,13,1,17,1,13,1,28,4,30,1,29,1,13,1,8,2,13,1,6,1,30,1,28,10,29,1,24,1,10,1,30,1,28,44,30,2,29,1,30,2,6,1,12,1,13,1,28,5,9,2,6,1,30,1,6,1,29,2,6,1,29,1,6,1,30,1,28,9,6,1,29,1,6,1,28,6,30,1,9,1,24,1,12,1,10,1,12,1,17,2,12,2,10,2,9,1,10,1,17,1,10,1,8,1,13,5,9,1,28,35,29,1,30,1,29,1,30,1,13,1,24,2,30,1,29,1,30,1,28,3,12,1,10,1,12,1,9,1,8,2,6,1,13,2,6,2,7,1,6,2,13,1,7,1,29,1,6,1,29,1,13,1,6,3,24,1,13,1,24,1,9,1,17,1,11,1,17,2,14,1,28,72,30,1,6,1,28,1,30,1,28,2,30,1,28,1,6,1,28,3,30,1,28,1,7,1,29,2,28,1,30,1,28,1,13,1,28,1,30,3,13,1,29,1,30,2,13,1,6,1,30,1,28,2,30,1,28,1,30,1,29,1,6,1,13,1,29,1,30,2,6,1,7,1,30,1,13,1,30,1,6,1,30,1,28,1,6,1,28,2,30,1,28,1,30,1,6,1,30,3,28,3,30,3,28,1,6,1,29,2,6,1,30,1,29,1,28,1,13,1,6,1,30,1,29,1,28,1,29,1,6,1,28,2,30,1,28,4,6,3,28,1,13,1,6,1,29,1,6,1,9,3,13,2,29,1,28,1,30,1,28,1,6,1,28,3,30,1,28,1,6,1,28,1,29,1,6,1,30,3,28,3,13,1,30,1,28,1,30,2,6,4,30,1,6,2,30,1,29,1,30,1,13,1,6,2,29,3,28,1,7,1,6,1,28,1,6,1,30,2,28,2,30,2,6,1,13,1,11,2,16,1,10,1,11,4,16,1,11,1,10,1,11,12,9,1,10,1,9,2,8,1,9,1,8,1,13,1,8,1,9,1,13,1,8,1,13,1,9,1,7,1,9,1,13,2,9,2,13,1,9,2,8,1,10,2,9,6,8,2,9,1,13,1,9,2,13,2,6,1,13,2,6,1,7,1,13,2,28,30,13,1,9,1,10,2,9,2,13,1,9,4,13,2,8,1,6,4,30,1,7,1,6,1,29,1,30,1,28,1,29,2,28,2,30,1,28,1,29,1,28,6,30,1,28,1,29,1,28,1,30,1,13,1,6,1,30,1,28,3,29,1,28,1,6,1,28,1,29,1,6,2,29,1,6,1,30,3,6,1,29,1,28,2,30,1,29,2,28,5,30,1,28,5,29,1,28,2,30,1,28,1,6,1,28,5,6,1,28,1,30,1,28,1,29,1,30,1,6,3,30,1,7,1,28,1,6,2,7,1,6,1,8,1,28,2,6,1,28,1,6,1,28,2,30,1,28,1,30,1,28,2,29,1,28,1,30,1,28,1,30,2,6,1,28,1,30,1,6,1,30,1,6,4,28,1,30,2,28,5,30,1,28,5,29,1,28,4,30,1,6,1,29,1,8,2,9,2,8,1,24,1,8,1,11,1,9,1,8,1,9,1,13,1,9,1,28,1,30,1,28,2,13,1,28,6,30,1,28,122,13,3,30,1,13,4,9,1,11,4,17,1,8,1,17,1,9,1,12,1,17,2,12,1,17,2,12,3,9,1,12,1,13,1,8,1,13,1,9,1,8,1,13,3,11,1,9,1,13,1,9,1,13,2,6,1,8,1,13,1,9,1,13,5,9,1,8,1,9,1,11,2,16,1,17,5,16,3,11,1,16,1,17,2,30,1,28,8,13,1,9,1,13,3,9,1,13,1,7,1,6,3,30,1,6,4,29,1,6,4,30,1,6,6,30,1,6,1,30,2,28,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,28,2,30,4,28,2,30,1,28,1,30,2,28,3,30,1,28,44,30,1,6,1,13,1,30,1,28,1,30,2,6,1,28,1,30,1,13,1,6,2,7,1,13,2,11,1,28,25,30,3,28,3,30,1,28,5,30,1,28,1,6,1,30,1,6,1,30,4,6,1,28,5,30,1,28,3,6,1,28,1,30,1,28,42,6,1,28,1,30,1,6,1,9,1,13,1,29,1,28,1,6,6,13,1,6,1,29,1,30,4,28,6,30,1,28,2,30,1,28,4,30,3,28,1,30,3,6,1,29,1,30,7,28,1,29,1,30,1,29,1,30,1,6,1,30,1,29,1,6,1,30,2,29,1,30,2,6,2,28,1,30,2,6,3,28,1,29,1,30,2,28,2,30,2,28,3,6,1,30,2,6,1,28,1,6,1,29,1,30,3,29,1,30,1,29,1,30,1,7,1,30,1,7,1,6,2,7,1,6,2,30,2,6,1,28,1,30,2,6,4,30,1,6,1,30,1,29,1,30,4,7,1,29,1,30,1,29,1,28,2,30,3,29,1,30,1,6,1,30,1,6,2,28,1,30,2,6,2,30,1,6,3,30,1,28,1,29,1,30,1,8,1,13,2,6,1,30,5,28,3,6,1,30,2,6,1,30,1,13,1,29,1,6,1,7,1,6,1,7,1,6,1,30,1,28,1,30,1,29,2,30,1,13,2,6,2,13,1,6,2,13,1,6,2,13,2,6,2,30,1,6,1,30,1,28,1,29,1,30,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,4,6,2,30,1,29,1,30,2,6,2,29,1,6,2,30,1,6,1,30,1,6,1,28,1,30,1,13,1,30,1,28,2,29,1,30,1,28,1,6,1,28,1,30,2,28,1,30,2,28,1,6,1,30,1,28,1,6,1,30,2,6,1,30,1,28,1,30,1,28,1,30,3,28,2,30,1,28,1,30,1,28,2,6,1,28,2,30,1,7,1,13,1,28,1,6,1,13,1,9,2,24,1,10,1,8,1,9,4,11,1,9,1,12,1,11,2,9,1,11,1,9,1,11,1,9,1,10,1,9,1,11,1,17,1,11,1,9,1,24,2,12,2,17,8,12,1,6,1,28,11,30,1,28,1,30,1,28,1,30,1,28,2,29,2,9,1,12,2,17,1,12,1,11,3,10,1,11,1,30,1,28,7,30,1,6,1,29,1,30,4,6,4,30,1,6,2,30,1,6,1,13,3,8,1,13,1,6,1,13,2,6,1,29,1,13,1,6,1,13,1,7,1,6,1,30,1,6,2,30,1,28,2,6,1,8,1,12,1,9,1,8,1,6,1,9,1,17,8,12,1,17,3,12,1,17,1,12,1,17,5,12,3,10,2,12,2,17,1,10,1,12,2,10,1,12,1,10,1,12,1,10,1,12,1,17,3,10,1,12,1,10,1,12,2,24,1,12,2,9,1,24,3,12,2,17,2,12,3,17,10,28,3,30,2,28,1,30,1,28,1,30,1,28,1,6,1,28,2,30,5,6,1,30,1,28,1,30,2,28,5,30,5,28,2,30,4,6,1,30,2,28,4,30,1,28,1,30,4,6,1,30,3,28,1,30,1,28,2,30,1,28,1,30,1,6,1,28,1,6,1,29,1,6,2,30,1,6,1,30,2,29,1,28,1,30,2,7,1,30,1,17,1,10,1,13,1,8,2,7,1,25,1,6,1,25,2,28,1,25,2,8,1,25,1,27,1,25,1,27,1,29,1,25,1,28,1,26,1,8,1,25,1,30,1,6,1,8,1,30,1,27,1,25,1,30,1,29,1,25,4,6,2,28,1,25,1,6,2,25,1,28,1,6,1,30,1,6,1,28,1,6,2,25,3,24,1,8,1,7,1,25,2,7,1,17,1,7,1,25,1,24,1,7,1,8,3,24,1,25,1,24,1,12,1,7,1,8,1,25,1,8,2,24,2,10,1,8,1,12,1,24,1,25,2,24,2,25,1,8,1,25,2,8,2,27,1,25,1,27,1,29,1,25,1,26,1,25,1,8,1,26,1,27,1,25,1,24,1,25,1,6,1,27,1,24,2,7,1,24,1,8,2,24,3,10,2,12,3,24,1,12,1,24,1,29,2,28,2,29,1,30,1,28,1,6,3,26,2,25,1,29,1,25,1,29,1,8,1,29,1,8,3,7,1,13,1,25,1,13,1,24,1,8,1,24,2,10,1,8,1,17,1,10,1,12,1,9,1,10,1,11,1,12,3,10,2,12,1,9,1,10,2,17,9,12,1,17,1,11,2,10,2,9,1,8,1,9,1,8,1,11,1,9,1,13,1,8,6,7,1,13,1,30,1,28,5,6,2,13,2,12,3,10,1,8,1,13,1,17,1,24,1,9,1,10,1,24,1,17,1,9,1,10,1,9,1,11,1,9,1,10,1,17,1,10,1,11,1,13,1,8,1,9,1,8,1,9,1,11,1,9,6,11,1,9,2,11,1,8,2,16,1,11,1,8,1,11,1,9,1,11,1,9,2,10,1,9,2,16,1,11,1,16,1,11,1,17,1,11,1,17,1,16,1,17,4,16,1,17,1,13,1,9,1,11,1,10,1,11,2,9,1,17,1,9,1,13,1,9,2,13,1,9,1,13,2,9,1,13,3,11,1,13,1,8,1,9,2,11,1,8,1,9,1,13,3,10,1,8,1,9,1,16,1,17,2,10,1,11,1,16,2,11,1,16,1,11,2,9,1,11,1,16,1,10,1,16,1,10,2,9,1,16,1,9,3,13,1,8,2,11,1,8,1,13,1,10,1,9,3,8,1,9,3,8,1,13,1,8,1,9,1,13,1,9,2,17,1,9,1,17,1,11,1,17,1,12,1,13,1,9,1,24,1,10,1,8,1,24,1,9,1,24,6,13,1,24,1,10,1,13,1,12,1,8,2,9,1,24,2,9,1,8,1,11,1,9,2,24,1,13,1,9,1,7,1,8,1,24,1,8,2,24,1,13,1,9,1,24,2,8,1,9,1,12,2,9,1,12,3,17,2,12,1,17,2,9,1,8,1,11,1,9,1,13,1,9,3,11,1,13,2,9,1,13,3,9,1,8,2,13,2,9,1,8,2,9,3,16,1,9,1,16,1,11,1,17,1,11,1,16,1,10,2,9,1,28,13,7,1,17,1,12,1,17,2,12,1,8,1,7,1,13,1,29,1,6,1,30,1,28,1,6,1,29,1,6,1,30,1,28,1,13,1,29,1,13,1,6,1,8,1,9,1,14,1,24,1,9,2,12,1,7,1,28,7,13,1,9,1,24,1,8,1,13,1,28,35,9,1,10,1,24,1,13,1,6,1,8,1,24,1,17,1,9,1,24,1,8,1,6,2,13,1,6,1,13,1,8,1,9,1,14,1,15,1,12,1,24,1,13,1,28,5,13,1,8,1,30,1,28,2,30,1,8,1,30,1,6,1,13,1,8,1,12,2,17,1,9,1,11,1,6,2,13,1,6,2,9,1,17,1,12,1,13,1,28,1,6,1,30,1,8,1,17,1,7,1,28,29,30,1,28,18,29,1,9,1,24,1,6,1,28,6,}, {28,2,29,1,13,1,8,1,7,1,30,1,28,36,30,1,29,1,30,1,6,1,28,2,7,1,24,1,13,1,6,1,28,7,29,1,8,1,10,1,9,1,30,1,28,5,6,1,7,1,6,1,29,3,28,9,30,1,6,1,15,1,9,1,28,46,30,2,6,1,30,1,7,1,17,1,7,1,30,1,28,2,30,1,28,1,29,1,24,1,30,2,29,1,30,1,6,1,29,2,28,1,29,1,28,9,30,1,6,2,28,7,9,1,12,1,17,1,12,1,11,1,17,2,12,1,17,1,11,1,12,1,8,1,11,1,14,1,15,1,9,1,6,1,29,1,13,1,8,3,30,1,28,31,30,1,28,4,30,1,6,2,14,1,24,1,6,1,28,5,8,4,9,1,24,1,8,1,29,1,13,1,29,1,7,1,13,1,6,4,28,1,6,1,29,1,6,1,28,1,29,1,8,3,24,1,8,1,24,1,17,1,14,2,15,1,28,63,30,1,28,5,30,1,28,3,6,1,28,3,30,1,28,6,29,2,28,1,30,1,29,1,28,1,13,1,30,3,13,1,28,1,29,1,30,2,6,1,28,1,13,1,30,2,13,2,6,1,28,4,30,1,28,1,6,1,28,1,6,3,7,1,30,2,28,1,6,1,29,1,28,1,30,2,28,1,29,1,30,2,28,1,30,3,29,1,28,1,29,1,30,2,29,1,6,1,29,1,30,4,29,1,7,1,28,1,6,1,28,3,6,1,30,1,13,1,30,1,28,3,30,1,28,1,6,2,28,1,7,2,6,1,9,2,13,1,8,1,28,2,30,1,28,2,6,1,30,1,28,1,30,1,28,1,30,2,6,1,30,2,28,3,30,1,28,4,30,1,6,1,30,3,6,1,29,3,6,1,30,1,6,1,30,2,6,3,30,1,6,1,7,1,30,2,6,3,30,2,28,1,30,2,28,1,13,1,9,1,16,1,11,3,16,1,9,1,16,2,11,2,16,1,9,2,10,1,16,1,11,1,16,1,9,1,16,1,11,1,16,1,11,2,10,1,9,6,13,1,11,1,7,1,9,1,8,1,9,1,13,1,9,4,13,1,8,4,9,2,11,1,9,6,13,1,8,1,13,3,8,1,7,1,13,1,8,1,7,1,13,1,6,2,28,31,9,1,24,1,10,1,11,1,8,3,9,1,13,1,8,1,13,1,24,1,13,1,7,1,24,1,6,1,13,1,6,1,7,1,30,1,6,1,30,2,6,1,7,1,30,1,29,1,30,1,29,1,28,3,30,2,28,1,30,1,28,1,30,1,28,2,30,1,13,1,6,1,13,2,30,1,28,1,29,2,28,1,30,1,28,1,30,3,6,1,29,2,6,1,29,1,30,1,28,1,6,2,30,1,28,9,30,1,28,4,30,1,28,8,30,1,29,1,30,2,6,1,29,1,28,1,29,1,28,1,13,2,29,1,30,2,13,1,28,1,30,1,6,2,13,1,28,1,6,1,30,1,28,4,30,1,28,1,30,2,28,1,6,1,28,1,30,1,28,4,29,1,30,2,13,1,30,2,28,1,30,1,28,1,30,1,28,2,30,2,28,6,30,1,28,1,30,1,28,1,6,1,30,1,6,1,13,4,8,1,7,1,13,1,9,1,8,1,9,1,8,1,9,1,8,1,9,1,10,1,13,2,6,1,30,2,28,22,30,1,28,104,13,1,8,1,13,1,6,1,30,1,6,1,13,1,8,1,9,1,17,1,11,2,12,1,13,1,17,1,9,1,17,1,12,1,17,2,12,1,17,3,9,1,12,1,9,1,12,1,13,1,9,1,13,1,8,1,28,1,8,1,9,1,13,1,9,3,13,5,9,1,13,1,6,1,30,1,9,1,6,1,9,1,13,1,8,1,9,3,17,4,16,1,17,3,16,1,11,1,16,2,11,1,9,1,28,8,13,1,9,1,7,1,13,2,9,1,8,1,13,1,30,1,6,2,30,1,6,1,30,2,6,2,29,1,13,1,6,2,13,2,6,2,30,3,6,1,30,2,28,2,6,1,30,1,28,42,6,1,28,1,13,4,30,2,6,1,13,4,28,1,30,1,13,2,9,2,11,4,17,1,16,2,17,2,10,1,17,1,16,1,17,3,16,2,11,1,17,3,16,1,13,1,9,1,8,1,13,1,16,1,9,6,16,2,11,1,10,1,11,1,9,2,11,1,16,1,17,1,16,1,11,1,16,1,17,2,16,1,11,1,13,1,9,1,11,2,9,1,30,1,28,1,6,1,13,1,6,1,13,1,7,1,8,3,9,1,11,1,9,1,13,1,16,1,9,1,8,1,13,2,6,1,13,4,9,2,8,1,6,1,7,1,13,1,9,1,13,6,7,1,6,2,13,1,6,1,13,2,6,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,21,30,2,28,2,30,1,6,1,28,1,30,2,6,2,30,1,6,2,30,1,29,1,28,2,6,1,30,1,28,1,30,1,28,2,6,1,30,4,6,1,30,1,6,3,30,4,28,2,30,1,28,1,6,1,30,3,6,1,30,4,28,1,30,4,6,1,28,3,30,1,6,1,28,1,7,1,30,4,28,1,30,4,28,1,30,4,6,1,30,1,6,2,30,2,6,1,29,1,6,1,30,1,6,1,30,2,6,1,30,1,6,1,13,1,6,2,30,1,6,3,29,1,6,3,30,2,6,2,30,1,6,2,30,1,6,1,29,1,30,1,6,2,30,3,28,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,30,2,29,1,6,2,7,1,13,2,9,1,13,1,6,1,30,2,6,1,30,1,28,1,30,1,28,1,30,1,7,1,13,1,6,1,28,1,13,1,29,1,6,1,29,1,6,4,30,2,6,2,30,2,6,2,28,2,30,1,6,6,30,1,6,12,29,1,6,2,30,1,6,2,30,1,7,1,30,1,6,4,29,1,30,2,6,2,30,1,6,2,30,3,6,1,28,1,30,1,29,1,28,1,6,1,28,1,6,1,30,3,6,2,30,4,6,1,30,3,6,1,30,1,6,1,30,7,28,7,30,1,6,1,28,1,7,1,13,1,6,1,30,1,13,1,8,1,24,1,13,1,24,1,9,1,12,1,9,2,10,1,24,1,10,1,11,1,9,2,12,1,10,1,17,1,9,1,12,1,11,2,17,1,9,1,24,1,12,1,6,1,24,1,10,1,24,1,10,1,17,1,12,1,10,1,17,4,12,1,17,2,8,1,28,11,30,1,28,1,7,1,30,1,6,1,30,1,6,2,13,2,11,1,9,1,10,1,9,2,28,5,30,2,28,1,30,4,28,1,30,2,6,2,30,1,6,2,30,1,6,1,28,1,30,1,6,5,13,2,6,1,13,1,7,1,6,4,13,3,30,1,6,1,30,2,28,3,13,1,9,1,10,1,24,1,9,1,17,6,12,2,17,3,12,1,10,1,17,3,12,1,11,1,17,3,10,1,17,3,8,1,10,1,24,3,12,1,8,1,24,1,17,1,12,1,17,1,10,1,12,2,17,3,24,1,9,1,12,1,10,1,8,1,17,1,12,2,8,1,17,1,10,1,12,2,17,1,12,3,17,11,28,3,30,4,28,1,29,1,28,1,6,1,30,1,28,5,30,3,28,2,30,1,6,1,28,3,30,1,6,1,30,1,28,3,30,1,28,1,6,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,30,1,28,3,30,1,28,1,6,1,28,2,29,1,28,2,30,2,28,3,30,1,28,2,30,1,6,2,30,1,6,1,30,1,6,1,30,1,28,1,30,4,28,1,29,1,17,1,13,1,8,1,9,1,7,1,29,1,8,1,29,1,25,1,24,1,27,1,8,1,27,1,29,1,25,2,26,1,27,1,29,3,30,1,8,1,6,2,24,1,8,1,29,1,26,1,25,1,27,1,30,1,25,1,29,1,26,1,6,1,29,2,8,1,6,2,28,1,8,1,30,1,29,1,30,1,7,3,13,1,8,2,25,1,29,1,24,1,6,1,26,1,30,1,7,2,24,2,8,1,24,5,10,1,7,1,24,1,12,1,24,1,25,1,24,1,7,1,10,1,12,1,10,1,24,1,8,1,6,1,8,1,24,2,10,1,25,1,26,1,24,1,25,1,24,1,26,1,8,1,27,1,25,1,24,1,27,1,29,1,25,3,27,1,25,1,24,1,25,5,24,1,7,1,10,1,24,1,10,2,24,2,10,1,17,1,24,1,12,1,24,1,13,1,7,1,28,4,30,1,28,1,29,1,30,2,29,2,25,1,29,1,25,4,8,1,25,2,8,1,25,2,24,2,8,1,7,1,24,4,10,1,24,1,12,1,9,1,12,1,9,1,10,1,12,1,17,1,9,1,11,1,9,1,11,1,12,1,9,1,11,1,17,1,12,1,17,3,11,1,17,2,12,1,17,2,11,1,12,1,11,1,10,2,9,1,10,1,9,1,11,2,9,3,13,1,8,1,13,4,28,5,13,1,8,1,13,1,12,1,10,1,9,1,11,1,9,1,8,1,12,1,9,3,10,1,9,1,12,2,17,1,9,2,17,1,9,1,11,1,10,1,11,1,9,4,11,1,9,2,11,1,9,3,11,2,13,1,9,2,16,1,9,2,17,1,11,2,8,1,11,1,10,1,16,1,9,1,11,2,16,1,9,1,11,1,17,1,11,1,17,2,9,2,11,1,17,3,9,1,13,2,9,1,8,1,13,1,16,1,8,1,10,1,9,3,10,1,13,1,16,1,13,1,10,1,9,1,13,1,11,1,9,1,13,1,8,1,9,1,13,2,9,1,13,2,8,1,9,2,13,1,9,1,8,1,9,2,11,1,9,1,11,1,8,1,11,1,9,1,11,2,9,2,10,1,11,1,9,1,16,1,9,1,16,1,11,2,9,2,16,1,10,1,11,1,13,1,11,1,9,1,10,1,8,1,16,1,13,2,9,3,13,1,9,1,13,1,9,1,11,1,17,3,9,1,17,1,12,1,10,2,12,2,24,1,12,1,24,1,8,1,24,1,8,1,24,1,8,2,13,1,8,1,13,1,8,1,9,1,13,1,8,2,10,1,8,1,10,1,13,1,9,1,10,1,9,1,11,1,10,1,13,1,24,1,8,4,24,1,9,1,13,1,8,1,6,1,7,1,13,1,7,1,24,1,13,1,24,1,10,1,9,1,10,1,9,1,17,1,12,1,11,1,17,1,12,1,17,1,11,2,9,1,11,1,13,1,9,1,13,1,16,1,9,2,13,2,10,1,13,2,8,1,13,1,9,1,13,3,9,1,13,4,11,2,10,1,16,1,10,1,9,1,16,1,17,1,11,1,16,1,28,13,13,1,17,1,10,1,17,1,12,2,8,2,13,1,6,2,28,1,29,1,30,2,29,1,30,1,7,1,29,1,30,1,8,1,6,1,24,1,8,1,9,1,12,1,17,1,9,1,24,1,6,1,28,7,13,1,24,1,8,1,13,2,28,35,14,1,9,2,29,1,13,1,6,1,24,1,17,1,8,2,13,1,6,1,29,1,6,3,13,1,7,1,9,1,12,2,9,1,30,1,28,4,29,1,8,2,30,1,28,1,30,1,28,2,30,1,6,2,9,2,10,1,12,2,10,1,7,1,8,1,29,1,28,1,29,1,13,1,17,1,9,1,29,1,28,2,30,1,9,1,12,1,6,1,28,29,6,1,28,19,13,1,8,1,13,1,28,6,}, {28,2,30,1,8,2,6,2,28,2,30,1,28,33,6,3,30,1,28,2,30,1,13,2,28,1,30,1,28,6,6,1,8,1,9,2,24,1,28,6,13,1,24,1,8,1,6,1,29,1,30,1,28,9,6,1,17,1,8,1,7,1,28,45,30,1,6,1,28,1,6,1,7,1,17,1,8,1,29,1,28,3,30,1,7,1,15,1,8,1,28,1,6,2,7,1,30,1,28,1,6,3,28,8,6,3,30,1,28,5,29,1,24,1,12,1,10,1,9,1,12,1,9,1,17,2,24,1,8,1,11,1,9,1,10,1,14,1,17,1,8,1,9,1,6,1,8,1,6,1,7,1,24,1,28,33,30,1,28,2,30,1,28,1,30,1,6,1,10,1,8,1,6,1,28,5,7,1,13,1,8,1,6,1,8,1,13,1,6,1,13,2,28,1,13,1,30,1,6,3,28,3,30,1,6,1,28,1,29,2,6,1,9,1,8,1,24,2,16,1,17,1,14,1,9,1,13,1,28,80,30,1,28,1,6,1,28,2,30,1,28,1,13,1,28,1,6,1,28,1,30,1,28,1,6,2,30,1,28,2,13,1,28,1,13,1,6,1,29,1,6,1,28,2,30,2,28,2,6,1,28,1,29,1,30,1,13,1,6,1,29,1,28,1,30,2,6,2,28,1,30,2,28,1,30,1,28,2,30,2,28,6,29,2,30,1,28,1,30,1,28,1,30,3,6,2,30,1,13,1,28,1,6,2,28,5,30,1,28,2,13,1,30,1,6,1,7,1,6,1,13,1,29,1,8,1,9,1,13,1,6,2,30,1,28,1,30,1,7,1,28,3,7,1,30,1,29,1,28,1,30,2,6,1,30,1,28,2,30,2,28,1,6,1,30,1,29,1,6,2,28,1,7,1,6,2,13,1,6,9,30,1,29,1,30,1,6,2,30,1,6,1,13,1,30,1,13,1,30,5,9,2,11,1,16,1,9,1,17,1,11,1,16,1,11,2,16,1,9,1,16,2,11,2,10,1,9,1,11,1,9,1,11,1,16,1,11,3,9,3,8,2,9,2,8,2,9,1,8,1,13,1,8,1,13,1,9,4,8,1,9,3,10,1,9,6,8,1,9,1,13,1,8,1,9,1,8,2,13,2,8,1,6,2,13,1,6,2,29,1,30,1,28,29,8,1,9,6,8,1,9,2,8,1,9,1,13,1,7,1,13,2,30,1,6,1,13,1,30,2,6,1,7,1,29,1,30,3,28,1,29,1,28,1,6,2,30,1,28,3,29,1,28,2,6,1,28,2,7,1,13,2,7,1,28,1,30,1,6,1,29,1,30,2,29,1,30,1,29,1,6,1,28,1,6,1,28,2,30,1,6,3,28,16,30,1,28,2,30,1,28,7,30,1,29,1,30,1,29,1,7,1,6,1,30,1,6,1,30,1,8,1,28,1,6,3,30,1,28,1,13,1,28,1,30,1,28,1,29,1,30,2,28,1,30,1,28,2,30,1,28,3,30,1,28,2,6,1,28,1,30,1,6,1,7,1,28,1,29,1,7,1,30,1,6,1,28,2,6,1,28,7,30,1,28,4,30,1,28,2,13,2,6,1,8,1,7,1,8,3,13,1,9,2,10,1,8,1,10,1,13,1,9,1,10,1,8,1,9,1,8,1,30,1,29,1,28,3,6,1,28,11,30,1,28,10,30,1,28,99,13,1,6,1,13,1,30,1,6,1,13,2,10,1,11,1,9,1,17,1,11,3,13,1,11,1,9,1,16,1,12,1,17,1,11,1,17,3,9,2,10,1,9,1,13,1,6,1,7,1,9,1,13,4,9,1,13,2,9,1,6,1,13,3,9,1,6,1,13,2,6,2,9,1,13,1,9,1,16,3,17,1,16,2,17,2,16,1,17,1,16,2,11,1,17,1,16,1,17,1,28,6,13,1,30,1,28,1,13,3,7,1,9,2,13,1,6,3,30,3,6,1,30,1,13,1,6,1,13,1,6,3,29,1,30,1,28,1,30,2,28,2,30,1,28,17,30,1,28,17,9,1,16,1,17,6,16,1,11,1,17,1,11,1,9,3,13,1,10,1,17,1,9,1,8,1,13,1,16,1,9,2,13,1,9,5,13,4,9,1,13,1,9,1,6,1,13,1,16,1,13,1,9,1,13,1,8,1,13,1,8,1,13,2,9,2,17,1,16,1,13,1,9,1,13,2,9,2,13,2,9,1,8,1,13,6,9,1,13,9,6,1,13,6,8,1,13,3,8,1,13,2,8,1,13,2,8,1,13,4,6,1,13,6,9,1,13,6,6,1,9,1,6,1,13,11,9,1,13,3,6,1,8,1,13,3,6,1,13,2,9,1,13,1,7,2,30,1,13,1,6,1,13,1,30,3,28,3,30,2,28,1,30,1,13,1,30,1,28,1,30,1,28,8,6,1,28,13,30,1,28,5,30,1,28,2,30,7,6,3,28,1,30,1,6,1,30,6,28,1,6,1,30,1,28,1,30,1,28,2,30,2,28,1,29,1,30,4,28,1,29,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,29,2,30,1,29,1,6,1,30,1,29,1,30,3,6,2,30,1,7,1,13,1,6,2,30,5,7,1,6,4,30,1,13,1,6,1,29,1,6,2,30,3,6,3,29,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,30,1,13,4,30,3,6,1,28,1,6,1,30,2,6,1,30,2,6,1,29,1,6,1,30,1,29,1,30,1,6,1,30,1,6,3,30,1,7,1,30,1,6,1,29,1,6,1,30,1,6,1,29,1,30,2,29,1,30,1,13,1,6,3,30,2,28,1,6,1,13,3,6,3,30,1,6,1,13,1,29,1,13,2,30,2,6,1,29,1,6,1,30,1,28,1,6,1,30,1,28,1,29,1,6,2,30,1,6,4,30,2,6,1,28,1,30,3,6,1,28,1,30,2,6,2,30,5,29,1,6,1,30,7,29,1,30,5,28,3,30,2,28,2,30,1,7,1,6,1,29,1,6,1,13,1,9,1,13,2,9,3,8,1,9,1,24,2,9,7,17,1,9,3,10,1,17,2,11,1,9,1,8,1,24,1,8,1,9,1,10,1,17,1,12,2,10,1,12,4,17,1,12,1,17,3,12,1,13,1,29,1,13,1,6,2,28,7,29,2,6,1,29,1,6,2,13,1,9,2,12,1,9,1,6,1,28,1,30,2,28,2,6,1,30,2,28,1,30,1,6,1,30,1,28,1,6,1,28,1,30,1,6,1,30,2,29,1,13,4,30,2,6,1,29,1,6,2,13,2,7,2,6,2,30,2,13,3,7,1,30,1,28,1,30,1,29,1,7,1,29,1,30,1,13,1,9,1,17,7,12,2,17,1,9,1,17,1,12,1,9,1,12,5,17,2,12,2,17,1,12,2,17,1,12,2,9,1,10,1,24,1,9,1,17,1,24,1,12,2,8,1,10,1,12,4,24,1,10,1,17,1,24,1,17,2,12,1,8,1,24,1,17,1,10,2,12,2,17,3,12,1,9,1,17,2,12,1,17,5,12,1,17,1,28,2,30,1,28,2,30,5,28,2,30,1,28,4,30,1,28,4,30,1,28,11,30,3,28,1,30,4,28,7,30,1,28,1,30,1,28,2,30,1,28,3,30,2,28,1,30,1,28,2,6,1,30,1,6,1,13,1,30,1,7,1,29,1,28,1,30,2,28,1,30,1,28,2,9,1,10,1,13,1,8,1,6,1,30,1,6,2,25,1,27,4,29,1,8,1,25,2,26,1,29,1,8,1,6,1,30,1,28,1,25,3,12,1,26,1,25,1,27,2,30,1,26,1,27,1,25,1,26,1,29,5,7,1,28,1,29,1,27,1,30,3,29,1,25,1,29,1,8,1,6,3,25,1,30,1,27,1,25,2,6,1,24,1,25,1,24,1,25,2,8,1,24,1,12,1,24,1,17,1,25,2,8,1,24,1,10,1,12,2,8,1,24,2,10,1,8,1,24,4,8,1,24,1,8,1,27,1,8,1,25,1,8,1,29,1,27,1,25,1,27,1,26,1,24,1,25,3,8,1,25,1,8,1,25,2,24,1,25,2,10,1,12,1,8,1,17,1,8,1,12,3,10,1,24,2,10,1,6,1,30,1,28,4,29,1,30,1,29,1,6,2,27,1,26,2,25,1,6,1,29,1,8,1,7,1,29,1,6,1,25,1,6,1,8,1,7,1,8,2,24,1,7,1,24,2,8,1,24,2,9,1,12,2,9,1,17,1,12,1,11,1,9,1,11,1,12,1,17,1,9,1,11,1,17,1,10,1,17,3,11,1,17,3,11,1,17,1,11,2,17,1,11,1,10,1,17,1,10,1,11,2,9,2,8,1,24,1,10,2,11,1,8,1,13,1,24,1,6,2,30,1,28,3,29,1,8,1,13,1,9,1,10,1,12,2,10,1,11,2,9,1,8,3,11,1,12,2,11,1,17,1,13,1,8,1,11,2,17,1,9,3,11,1,9,3,11,1,9,1,11,1,8,1,11,1,9,3,11,1,16,1,11,2,16,1,11,1,10,1,11,1,10,1,9,1,17,1,16,1,11,1,17,1,16,1,11,1,16,1,8,1,17,1,11,1,16,2,11,2,17,5,16,1,13,1,7,1,9,2,8,1,11,2,9,3,11,1,9,2,8,1,9,1,11,1,9,2,8,1,16,1,13,1,9,6,13,1,9,1,13,1,6,1,9,1,13,2,11,2,16,2,11,2,9,1,10,1,9,1,11,1,9,1,11,1,9,2,11,1,9,2,8,1,9,1,11,1,8,1,11,1,9,1,11,2,9,2,11,1,9,1,13,1,9,3,13,2,10,1,13,1,11,1,9,1,12,1,17,4,12,1,11,1,9,1,12,1,10,1,12,1,9,1,10,1,9,1,8,1,10,1,24,1,8,1,24,1,9,1,8,1,6,1,12,1,24,2,13,1,10,1,8,2,24,3,9,1,10,1,24,1,10,2,13,1,8,2,10,1,8,2,24,1,8,1,24,1,13,1,10,1,13,1,8,1,13,1,10,1,13,1,10,2,24,1,12,1,11,1,10,1,12,1,17,7,9,1,13,1,8,2,9,3,11,1,8,1,13,1,9,1,8,2,13,1,9,1,8,1,13,2,8,1,13,2,8,1,13,1,8,1,9,2,16,3,17,1,9,1,16,1,9,1,13,1,30,1,28,12,8,1,17,1,12,2,17,1,12,1,9,1,8,1,28,1,7,1,13,1,29,1,30,1,28,2,30,2,29,1,6,1,7,2,8,1,7,1,10,2,24,1,12,1,24,1,8,1,28,8,13,1,9,1,24,2,8,1,29,1,28,33,13,1,14,1,12,1,8,2,13,2,12,1,10,1,24,2,13,1,30,3,29,1,6,1,8,1,10,1,24,1,9,1,12,1,24,1,13,1,28,4,6,1,9,1,8,1,28,2,30,2,6,1,7,1,13,2,24,1,10,1,12,3,24,1,6,4,13,1,9,1,14,1,10,1,28,4,13,1,9,1,6,1,28,48,7,1,9,1,24,1,13,1,28,6,}, {28,2,30,1,29,1,6,1,29,1,13,1,28,3,30,1,28,32,6,1,13,2,30,1,28,2,29,1,8,1,13,1,6,1,28,1,30,1,28,6,13,1,9,1,17,1,9,1,28,5,30,1,7,1,8,1,30,1,6,1,28,11,6,1,10,1,8,1,7,1,28,45,29,1,28,2,30,1,7,1,17,1,15,1,28,5,8,1,24,1,8,1,13,1,30,1,7,1,30,1,6,2,28,1,7,1,29,1,28,9,8,1,13,1,28,7,24,1,12,1,24,1,8,1,24,1,8,1,24,1,10,1,12,1,17,1,11,1,9,1,17,3,15,1,8,1,6,1,13,2,9,1,8,1,30,1,28,34,29,1,28,2,30,1,24,1,14,1,24,1,29,2,28,4,9,1,24,1,13,1,8,3,13,2,6,1,29,1,7,1,29,2,30,2,28,2,29,1,30,1,29,1,28,1,6,1,9,1,13,1,6,1,8,1,10,1,9,1,10,1,17,2,16,1,30,1,28,73,30,1,28,13,30,1,28,1,29,1,28,1,29,1,28,1,6,1,28,1,30,3,6,2,29,1,6,1,13,1,28,1,7,1,30,1,28,2,29,1,6,1,28,2,29,1,28,3,13,1,6,2,30,1,28,4,30,1,28,2,30,1,28,1,30,1,28,4,29,1,6,1,28,1,29,1,30,1,29,2,6,1,30,1,29,1,6,1,30,1,13,1,29,1,30,1,28,1,30,4,28,1,30,2,29,1,28,1,29,2,6,1,29,1,6,2,29,1,6,1,13,2,8,1,13,1,6,1,13,1,28,2,30,1,13,1,30,2,28,1,13,1,30,3,29,1,28,4,30,1,28,1,13,1,6,1,13,1,6,1,29,1,7,1,6,1,7,1,6,1,7,1,29,1,6,2,29,1,30,1,6,1,30,1,13,1,29,1,6,1,30,1,13,1,6,1,28,1,6,2,28,1,13,1,6,2,28,1,30,1,28,1,6,1,30,2,11,6,16,1,11,2,16,1,9,1,11,1,9,2,16,1,11,4,9,1,16,1,9,2,11,1,16,1,9,1,16,1,11,1,9,2,10,1,11,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,9,1,8,1,9,1,8,1,9,1,13,1,9,1,13,1,11,1,8,1,9,2,8,1,9,1,8,1,9,1,13,1,8,1,13,2,8,1,9,1,8,1,7,1,13,2,6,2,30,2,28,30,24,1,9,1,10,1,9,1,11,1,8,1,9,1,13,1,9,1,8,1,9,1,13,2,8,1,13,1,9,1,13,1,7,2,6,2,13,1,6,1,30,1,6,1,29,1,13,1,30,1,29,2,30,1,28,1,30,1,28,4,30,1,28,2,30,1,28,1,6,1,29,1,28,1,6,1,29,2,28,2,6,1,29,2,6,1,28,2,6,2,28,1,29,1,28,1,6,1,28,1,6,1,28,9,30,1,28,8,30,1,28,1,30,1,28,2,29,1,28,1,6,2,28,3,30,1,28,1,30,1,6,2,7,1,6,1,28,1,6,2,28,1,13,1,28,1,6,1,28,1,6,1,29,2,28,2,30,1,28,4,30,1,28,6,30,1,28,1,29,2,13,2,30,1,29,1,6,1,13,1,29,1,28,13,30,1,28,1,29,1,13,1,6,1,13,1,6,1,13,2,7,1,13,2,29,1,13,1,8,2,9,3,11,1,9,3,13,1,8,1,7,1,13,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,110,7,1,9,1,13,1,6,2,30,1,9,4,16,1,11,1,13,1,9,2,8,2,13,1,8,1,9,1,17,2,11,1,13,1,11,1,10,1,9,1,13,2,6,2,9,1,13,3,11,2,6,1,13,1,7,1,13,3,9,1,30,1,13,2,6,1,13,2,9,1,16,1,11,1,16,1,11,1,16,2,17,1,16,3,17,1,16,1,11,2,16,1,11,1,17,1,11,1,13,1,28,6,30,1,28,1,13,1,9,1,6,2,13,3,6,1,30,2,6,1,13,2,30,1,6,1,28,20,6,1,13,1,28,1,13,1,6,1,28,1,30,1,6,1,13,1,6,1,30,1,6,1,8,2,9,1,10,1,11,2,6,1,8,1,13,7,8,1,13,1,9,1,13,1,8,1,6,1,13,6,8,1,13,1,8,1,9,1,8,1,9,2,13,1,9,1,13,1,9,1,8,1,13,1,9,1,13,8,8,1,13,5,9,2,8,1,13,1,9,1,13,6,9,1,10,1,17,1,9,3,13,3,8,1,13,5,6,1,13,7,30,1,13,2,6,1,13,13,8,1,13,2,8,1,13,1,8,2,9,2,13,5,9,1,13,1,6,1,13,2,7,1,13,2,6,1,13,3,8,1,13,3,9,1,13,1,9,1,8,1,13,1,6,1,8,1,7,1,13,1,6,1,7,1,13,2,8,1,13,1,9,1,13,4,9,1,13,1,8,1,13,1,9,2,11,1,8,1,13,4,6,1,9,1,13,1,7,1,13,1,6,1,13,3,30,2,6,1,13,1,28,1,30,2,6,1,13,1,28,1,8,1,9,1,30,1,28,2,30,2,28,22,30,3,6,1,28,1,30,2,6,1,30,1,6,1,30,4,6,1,29,1,30,1,29,1,6,1,30,3,28,1,30,1,13,1,30,1,28,1,30,1,28,1,6,1,28,2,6,1,28,3,30,2,28,2,30,3,28,2,30,5,28,2,7,1,30,1,13,1,30,3,6,2,30,1,6,1,13,1,6,4,30,1,6,1,29,1,6,2,13,1,6,5,30,2,6,1,30,3,6,1,29,1,6,3,30,1,29,1,30,2,28,1,30,2,28,1,6,1,30,2,6,4,30,1,6,2,30,1,13,1,8,2,6,2,30,1,6,1,30,4,6,1,30,3,13,1,28,1,30,1,28,1,6,1,30,1,6,1,30,2,6,1,30,1,6,6,13,1,7,1,6,1,7,1,6,2,30,1,6,2,30,3,6,1,30,1,6,1,30,1,28,1,6,2,30,1,6,3,30,1,6,1,28,1,30,2,13,1,29,1,30,1,28,4,30,2,6,1,30,1,6,3,30,1,29,1,30,1,6,1,30,6,28,1,30,1,28,3,30,9,28,1,6,3,30,1,6,2,28,1,30,2,29,1,30,1,28,1,30,1,28,1,30,1,6,1,28,1,30,2,6,1,29,1,6,3,13,2,29,1,13,1,11,1,17,1,9,6,11,1,9,1,8,1,9,3,8,1,13,1,8,1,17,2,12,1,11,1,10,1,24,1,8,1,10,1,9,1,12,1,9,1,24,1,9,1,10,1,9,1,24,1,9,1,17,1,12,2,17,1,12,1,17,6,9,1,29,1,6,3,29,1,7,1,29,1,6,4,28,1,30,1,9,1,10,1,11,1,9,1,30,1,28,3,30,1,28,1,30,9,28,1,30,1,29,1,30,1,6,1,29,3,6,7,13,2,6,1,13,1,6,1,29,1,30,1,13,1,29,1,28,1,30,1,6,1,13,3,30,2,6,1,30,1,6,2,7,1,24,1,12,1,17,2,12,4,10,2,12,1,24,1,10,1,9,1,12,3,17,1,10,2,12,1,17,1,12,1,17,1,11,1,10,1,24,1,12,1,24,1,12,3,17,1,12,1,10,1,17,4,10,1,17,2,24,1,17,1,12,3,17,2,12,2,17,1,10,1,12,4,10,1,12,1,17,1,12,4,17,2,10,1,17,4,12,1,17,1,28,2,30,8,28,9,30,1,28,5,30,1,28,8,30,1,28,1,30,4,28,3,30,1,28,4,30,1,28,1,30,1,28,2,30,2,6,1,28,4,30,1,28,1,30,1,28,1,6,1,29,1,6,1,7,1,29,1,6,2,29,1,30,1,7,1,28,4,9,1,24,2,8,1,13,1,7,1,13,1,25,1,27,1,25,4,8,1,27,1,26,1,27,1,29,1,6,1,8,1,25,1,28,1,8,2,27,1,29,1,6,1,27,1,29,2,30,2,8,1,30,1,25,1,26,2,29,1,26,1,6,2,27,1,6,1,25,1,24,1,30,1,27,1,26,1,6,1,27,1,29,1,6,1,29,2,6,1,26,2,24,3,10,1,12,1,24,2,25,1,8,1,12,1,24,1,8,2,25,1,12,1,24,3,13,1,10,1,24,2,12,1,7,1,10,1,24,1,17,1,25,1,8,2,26,1,27,1,24,1,8,2,24,1,8,1,24,2,25,2,27,1,24,1,25,1,26,1,25,4,8,3,24,3,8,2,12,1,24,1,12,1,24,2,10,1,12,2,6,1,28,6,6,1,28,1,30,1,28,1,29,1,30,1,29,1,6,1,29,2,25,2,7,1,6,1,24,1,8,1,7,1,6,1,12,1,24,1,7,1,24,3,13,1,24,1,8,2,10,1,24,1,9,1,10,1,12,1,10,3,12,1,9,1,12,1,17,1,12,1,10,2,17,4,12,1,17,2,12,1,11,1,17,1,11,1,17,2,11,4,12,1,10,1,11,2,9,1,24,1,13,1,10,1,9,1,8,1,13,1,8,1,28,1,7,1,28,4,6,1,13,1,11,1,8,1,12,1,11,1,10,3,9,1,12,1,11,1,8,1,10,1,24,1,17,1,8,2,11,1,17,2,13,1,11,2,8,1,13,1,9,2,16,3,9,1,11,1,9,1,16,1,9,1,11,1,8,1,11,1,10,1,11,2,9,1,11,1,9,2,11,2,9,1,17,1,11,2,9,2,16,1,11,1,16,3,11,1,16,1,11,2,17,4,11,1,8,1,13,1,9,1,11,1,9,3,10,1,11,1,13,2,9,2,13,1,11,2,13,1,9,1,16,1,13,2,9,1,11,2,9,1,8,1,10,1,13,1,11,1,8,1,13,2,9,1,8,1,16,1,11,1,9,1,16,1,11,1,10,1,11,2,9,2,11,1,13,1,11,1,9,2,13,1,9,1,13,1,11,1,13,1,9,1,10,1,9,1,10,1,13,1,17,1,13,1,9,3,6,1,9,2,11,1,17,1,9,1,8,1,17,2,12,3,17,1,9,1,10,2,24,2,11,1,8,1,11,1,24,1,13,1,9,1,24,1,8,1,12,1,24,1,12,1,13,1,24,1,10,3,9,1,8,2,24,1,9,1,10,1,24,1,9,1,13,1,9,1,8,1,13,1,8,1,9,1,8,1,10,1,24,1,6,1,24,1,7,1,8,1,24,2,8,1,24,1,10,1,13,1,24,1,13,2,8,1,24,2,12,1,24,1,12,2,17,3,10,1,17,1,9,3,10,1,11,1,9,6,8,1,9,2,8,1,13,1,9,1,8,1,13,3,6,1,13,2,9,1,10,2,9,1,10,1,9,1,11,1,16,1,11,1,9,1,28,5,30,1,28,6,30,1,13,1,9,1,17,3,12,1,24,2,8,1,29,1,30,1,6,1,30,2,28,1,29,1,30,3,29,1,7,1,8,1,9,1,8,1,14,1,17,1,9,1,8,1,9,1,6,1,28,6,30,1,8,1,9,1,24,2,6,1,28,33,29,1,8,1,14,1,11,1,8,1,7,1,6,1,13,1,10,1,24,1,9,1,24,1,29,3,28,2,6,1,8,2,10,1,12,1,8,1,24,1,13,1,30,2,28,2,13,1,9,1,24,1,29,1,28,3,29,1,30,1,13,1,6,1,10,1,12,1,17,1,12,1,10,1,8,1,7,1,6,1,13,1,28,2,8,1,14,1,17,1,28,3,30,1,8,1,9,1,6,1,28,48,7,1,9,1,24,1,6,1,28,6,}, {28,3,30,1,7,1,28,1,30,2,28,34,6,1,13,1,7,1,6,1,28,3,8,2,13,1,30,1,28,7,7,1,13,1,9,1,12,1,10,1,28,6,7,3,8,1,28,11,29,1,8,1,10,1,28,45,30,1,29,1,28,1,29,1,30,1,6,1,12,1,24,1,30,1,28,1,30,2,28,1,8,1,17,1,10,1,30,5,7,1,30,1,6,1,28,1,29,1,28,8,6,1,29,1,6,1,28,6,13,1,12,1,9,1,24,1,13,2,9,4,12,1,9,1,11,1,17,2,9,1,13,1,8,1,24,1,29,1,8,1,24,1,28,32,30,1,28,2,29,1,28,3,7,1,24,1,13,1,8,1,28,1,30,1,28,3,9,1,8,1,13,1,8,1,9,1,13,1,24,2,13,2,6,3,28,1,30,1,28,5,29,1,30,2,6,1,24,1,10,1,9,2,17,1,16,1,14,1,17,1,30,1,28,66,30,1,28,3,30,1,28,4,30,1,28,10,30,1,28,3,6,1,28,1,13,1,28,1,30,1,6,1,28,1,30,1,6,1,30,1,29,1,6,2,30,1,6,1,30,2,6,1,29,1,28,1,30,3,6,1,28,2,30,1,6,1,28,2,6,1,28,3,6,2,28,1,30,1,6,1,28,1,30,3,28,2,30,1,6,1,28,1,13,1,28,1,6,2,30,1,28,1,7,1,13,2,28,1,6,1,28,4,30,2,28,3,29,1,28,1,6,2,29,1,7,1,13,2,6,2,8,1,13,2,8,1,13,1,7,1,30,1,29,1,28,1,13,1,28,1,30,2,7,1,6,1,13,1,6,2,29,2,30,1,6,3,7,1,13,1,6,2,7,1,30,1,13,1,6,1,13,1,6,2,28,1,6,2,13,1,6,1,7,1,13,1,6,3,13,1,6,1,30,1,6,1,30,1,29,1,6,4,28,2,6,1,8,1,16,1,10,1,9,1,16,2,11,1,16,1,11,1,16,1,10,1,11,1,10,1,11,1,16,2,11,3,16,1,11,2,16,1,10,1,9,1,11,2,8,1,10,1,9,2,13,2,8,1,13,1,9,1,13,3,8,4,9,3,11,1,9,5,8,2,13,1,8,1,9,1,13,1,8,1,9,1,8,2,7,1,13,1,29,1,8,1,6,1,7,2,6,1,28,31,12,1,10,1,17,1,11,2,8,1,9,1,8,1,9,4,13,2,9,2,13,1,6,2,7,1,6,1,8,1,6,1,13,1,28,1,6,1,30,1,6,1,29,1,6,3,30,2,28,1,30,2,28,3,30,1,28,1,29,1,28,2,30,1,28,3,6,1,30,1,28,1,30,1,28,2,30,1,28,1,7,1,30,1,28,1,6,1,30,2,6,2,28,1,30,2,28,10,30,1,28,3,30,1,28,4,30,1,28,2,30,1,28,1,29,1,28,2,29,3,30,1,6,1,29,2,6,1,30,1,28,1,6,1,28,1,13,1,29,1,6,1,30,2,28,1,30,1,28,5,30,3,28,3,30,1,28,2,6,2,13,1,28,1,29,1,6,1,28,1,29,1,28,9,6,1,28,2,30,5,6,3,7,2,24,1,7,1,6,1,8,1,13,1,7,1,13,1,9,1,13,4,9,1,13,1,10,2,9,1,11,1,9,1,13,1,8,1,30,1,29,1,6,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,2,6,1,28,106,6,1,13,1,6,3,7,1,28,1,9,2,11,1,10,1,11,2,10,2,8,1,13,2,8,1,13,1,8,1,9,2,13,1,8,1,9,1,13,2,28,1,7,1,6,1,13,3,11,1,9,3,13,1,8,1,13,6,6,1,7,1,13,3,8,1,11,1,16,4,9,1,16,4,17,1,16,4,11,1,16,1,9,1,28,8,30,1,13,1,6,1,30,1,13,1,9,1,13,1,28,2,30,1,28,18,6,1,9,1,16,1,9,1,8,1,9,1,6,1,13,1,8,1,13,3,9,1,13,1,8,1,13,1,8,1,13,1,8,1,9,1,10,1,8,3,13,2,8,2,13,8,6,1,9,1,13,1,9,1,13,1,8,1,13,1,8,1,13,1,9,1,8,1,13,2,8,2,13,2,9,1,13,1,9,1,13,14,8,1,13,3,8,1,13,5,6,1,13,4,9,1,16,1,17,1,10,1,9,1,13,1,9,1,8,1,13,9,6,1,13,2,7,1,13,7,7,1,6,1,13,8,7,1,6,1,13,3,9,1,13,2,7,1,8,1,6,1,13,1,6,1,13,1,8,1,13,12,8,1,6,1,13,5,8,1,13,5,7,1,13,10,9,1,13,7,9,1,13,3,8,1,13,7,8,1,9,1,13,2,9,1,13,2,8,1,13,1,8,1,13,4,6,1,29,1,6,2,28,7,30,1,28,8,30,1,28,4,30,1,6,1,28,1,30,1,6,2,30,3,28,1,30,2,28,2,30,1,29,1,28,1,6,1,30,4,6,1,28,1,30,2,28,1,6,1,28,2,30,2,28,1,30,3,28,1,30,6,28,2,6,1,30,1,6,1,28,2,30,1,6,1,30,1,28,1,30,1,28,1,29,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,1,7,1,6,3,13,1,29,1,6,1,30,1,6,4,7,1,13,1,6,2,30,1,28,1,6,2,30,3,29,1,7,1,28,1,30,2,29,1,30,1,6,1,30,1,6,4,28,1,30,9,13,2,7,1,6,1,30,1,29,1,30,2,6,1,30,1,6,1,30,1,6,2,29,1,30,2,6,2,28,1,6,1,30,2,6,4,30,1,6,3,29,1,6,4,30,1,13,1,28,1,6,1,29,1,30,4,28,1,6,2,30,2,6,1,7,1,30,1,6,2,28,1,13,1,6,1,30,1,6,2,28,1,6,2,30,3,6,1,28,1,6,2,30,1,28,1,6,2,30,7,6,1,30,2,6,1,30,5,28,1,30,2,28,1,29,1,30,1,28,1,30,2,13,1,30,1,6,2,30,8,28,2,30,1,28,1,30,2,6,2,30,1,6,2,13,1,29,1,28,2,30,1,17,4,9,1,8,1,13,2,8,1,9,2,10,1,12,1,9,2,17,4,10,1,9,1,10,1,24,1,10,1,24,1,9,1,10,1,8,1,24,1,7,3,8,2,12,1,11,1,10,1,12,1,17,8,10,1,8,1,24,1,8,1,6,2,7,2,6,1,13,1,11,1,17,1,11,1,9,1,7,1,30,1,28,4,30,1,28,1,30,1,29,1,6,1,30,8,6,1,30,2,29,2,6,1,30,1,13,1,7,1,6,2,13,3,6,1,7,1,6,2,29,1,7,1,6,1,13,1,6,1,30,1,6,2,13,2,30,4,6,1,29,1,6,1,10,1,17,1,10,1,12,3,24,1,12,1,24,1,12,1,24,1,12,2,10,1,17,1,24,1,17,1,12,1,17,2,10,1,12,1,17,2,10,1,9,1,17,2,12,6,10,1,17,1,12,2,10,1,9,1,12,3,17,3,12,2,17,1,24,1,12,1,17,2,12,1,9,1,12,2,9,2,12,3,17,1,12,1,17,1,12,1,17,4,11,1,17,2,28,2,30,1,28,1,30,2,28,1,30,4,28,9,30,3,28,1,30,1,28,4,30,1,28,1,30,2,28,2,30,1,28,1,30,2,28,6,6,1,28,1,6,1,28,6,7,1,28,2,30,1,28,2,30,1,28,1,6,1,28,1,6,2,29,1,6,2,28,1,6,1,30,1,6,1,28,1,30,2,28,1,30,1,12,1,8,1,7,1,24,1,7,2,25,2,6,1,8,1,27,1,26,3,25,1,26,1,6,2,27,1,24,1,25,1,30,1,6,1,7,1,30,1,7,1,25,2,28,1,26,1,27,1,30,1,8,1,27,3,30,1,25,1,6,1,29,1,27,1,6,1,29,1,28,1,27,1,29,1,30,1,25,1,29,1,25,2,26,1,25,1,6,2,8,1,24,1,25,2,8,1,25,1,24,2,25,2,24,3,8,1,10,1,8,1,12,1,8,1,24,2,7,1,10,1,8,1,10,1,8,1,24,1,8,1,24,1,25,2,26,1,25,1,26,1,27,1,8,1,25,1,27,1,25,1,8,1,27,1,25,3,24,1,26,1,25,1,8,1,25,2,8,1,24,1,25,1,24,5,25,1,12,1,24,1,17,1,8,1,12,1,10,1,24,2,6,1,28,1,30,1,28,5,29,1,28,3,29,2,6,1,29,1,25,1,7,1,25,1,30,1,24,1,7,2,24,1,30,1,6,1,12,1,8,1,7,1,8,2,24,3,8,1,12,1,8,1,12,1,10,1,17,1,10,1,12,2,17,1,11,1,10,1,12,1,10,1,17,1,11,1,12,1,17,1,12,1,17,2,12,1,17,4,11,1,17,2,11,1,12,2,17,1,11,1,12,1,11,1,9,1,11,1,10,1,9,3,8,1,13,1,8,2,6,1,29,1,28,4,13,1,8,1,9,1,11,1,10,1,12,1,10,1,13,1,9,1,12,1,10,1,9,1,10,1,17,1,11,1,17,1,10,3,8,2,16,1,13,1,9,2,8,1,9,1,16,2,9,1,16,1,9,2,16,1,11,1,17,1,11,2,16,1,11,3,16,3,9,1,8,1,9,1,11,1,16,2,8,1,9,1,16,1,9,2,17,1,16,1,11,1,16,4,17,3,16,1,9,1,13,2,11,1,10,1,11,1,9,1,13,2,8,2,11,1,9,2,8,1,11,1,9,2,16,1,9,2,8,1,16,1,9,2,16,1,9,2,13,1,11,1,6,1,9,1,13,1,8,1,9,1,8,1,11,1,9,1,16,2,13,1,9,1,16,1,6,1,9,1,8,1,11,1,9,5,8,1,11,1,13,4,8,1,10,1,13,2,11,1,8,1,13,1,8,1,9,1,10,1,11,1,9,1,12,1,17,1,12,1,11,1,12,1,17,1,10,1,8,1,24,1,10,1,12,1,10,1,24,1,12,1,9,1,11,1,8,2,10,1,8,1,12,2,24,1,8,1,13,1,9,1,8,1,10,1,8,1,11,1,10,1,9,1,24,1,8,1,13,1,10,1,9,1,8,1,10,1,8,1,10,2,11,1,10,1,24,1,8,1,24,1,9,1,8,1,13,1,8,2,24,1,9,1,24,1,8,1,10,2,7,1,8,1,9,1,10,1,12,1,11,1,17,4,12,2,17,1,12,1,9,1,7,1,29,1,13,1,8,1,13,1,10,1,9,1,13,1,8,2,13,2,8,1,9,2,13,1,8,1,9,1,13,1,8,2,13,2,8,1,11,3,16,1,8,1,11,1,16,1,13,1,28,13,8,1,17,2,12,1,17,1,8,1,9,1,6,1,8,1,30,1,6,1,29,2,6,3,30,1,29,1,7,1,13,3,24,1,8,1,9,1,15,1,17,1,10,1,24,1,28,7,30,1,13,1,24,2,8,2,30,1,28,33,8,1,14,1,8,1,9,1,13,1,6,2,9,2,8,1,13,1,30,1,29,1,30,1,13,1,30,1,29,1,13,1,8,1,9,1,10,1,8,1,13,1,30,1,28,1,6,1,29,1,28,1,13,1,24,1,8,1,30,1,28,1,30,1,29,1,30,1,6,2,24,1,9,1,14,1,12,1,17,1,12,1,8,1,9,1,7,1,30,1,6,1,8,1,9,1,15,1,8,1,29,1,28,2,30,1,8,1,12,1,13,1,30,1,28,47,29,1,8,1,9,1,30,1,28,6,}, {28,2,30,1,6,1,29,1,30,1,28,26,30,1,28,5,6,1,28,3,6,3,28,3,30,1,8,2,13,1,29,1,30,1,28,6,13,1,29,1,8,1,14,1,13,1,28,5,29,1,6,1,8,1,6,2,28,12,24,1,15,1,6,1,28,46,30,2,6,2,14,1,24,1,7,1,28,2,30,1,28,1,13,1,9,1,8,2,28,1,30,1,8,1,6,3,29,2,28,8,30,1,28,1,6,1,30,2,28,4,30,1,12,1,8,1,24,1,7,1,6,2,7,1,10,1,24,1,9,2,12,1,17,3,10,1,8,1,13,1,8,1,13,3,28,39,29,1,15,1,8,1,13,1,28,5,8,1,12,1,24,1,9,1,24,1,8,1,6,1,8,1,13,1,6,1,13,1,28,1,6,1,28,1,6,2,28,1,30,2,29,1,30,1,28,1,8,1,7,1,8,1,12,1,24,1,9,1,16,1,17,2,10,1,13,1,28,15,30,1,28,72,30,1,28,4,6,1,28,3,6,3,30,1,29,1,6,1,28,3,30,3,6,1,30,1,28,1,6,2,28,1,6,1,30,2,28,1,6,2,29,1,30,2,29,1,13,1,7,1,30,1,29,1,13,4,8,1,9,2,29,1,13,2,6,1,29,1,13,1,6,1,29,1,30,1,28,1,6,2,30,2,28,5,29,1,6,1,30,1,28,1,29,2,6,1,7,1,29,1,6,3,30,1,13,1,8,1,13,2,30,1,28,1,6,2,30,1,6,1,28,2,30,1,6,2,7,1,6,1,13,1,6,1,30,1,6,1,7,1,30,2,6,1,29,1,6,1,29,1,6,2,30,1,7,1,6,1,28,1,29,1,28,1,6,1,29,1,28,1,13,1,30,1,6,4,29,1,13,2,6,2,13,5,30,1,13,1,6,1,9,1,16,1,11,2,9,1,11,1,10,1,11,2,17,1,16,1,9,1,11,3,9,1,11,1,16,1,9,1,16,1,10,1,11,2,9,1,11,1,13,1,9,1,8,2,9,1,13,1,10,1,8,2,11,1,13,1,8,2,9,1,10,1,8,2,9,1,8,1,9,1,8,1,13,1,12,1,9,4,8,3,13,3,8,2,13,1,8,1,30,1,6,1,13,2,29,1,6,1,30,1,28,32,24,1,9,1,17,1,11,2,9,1,8,1,9,2,8,1,9,1,10,1,8,1,13,2,9,1,13,1,24,1,6,1,8,1,13,1,6,1,13,2,6,1,29,1,6,1,28,1,30,1,13,2,28,1,7,1,30,1,6,1,28,1,6,1,28,1,30,1,28,2,30,1,28,5,6,1,28,1,30,1,28,1,30,1,29,1,6,1,30,1,28,1,6,5,29,1,6,2,28,1,30,1,28,9,30,1,28,14,30,2,28,2,30,1,28,1,30,1,29,1,28,1,6,1,29,1,6,2,13,1,7,2,30,1,13,1,6,1,7,1,29,1,30,3,28,7,29,1,28,2,30,1,28,1,30,2,28,2,6,1,30,1,13,1,6,3,30,2,28,1,30,1,28,1,30,1,28,1,30,1,29,1,30,1,28,4,30,1,28,1,6,1,7,1,13,2,8,1,6,1,13,2,7,1,13,2,29,1,8,1,6,1,8,2,13,1,9,1,13,1,24,1,13,1,9,2,8,1,9,1,11,1,17,1,10,1,13,1,9,1,30,1,29,2,28,1,6,1,28,1,7,1,29,1,28,2,30,1,28,105,30,1,13,3,30,1,7,1,30,1,6,1,9,1,13,1,9,1,11,3,9,1,8,1,13,1,7,1,28,1,7,1,6,1,30,1,7,1,13,1,30,1,13,3,8,1,28,1,13,1,6,2,13,2,8,1,11,1,9,1,11,1,6,1,13,1,28,1,13,4,9,1,7,1,11,1,8,1,9,2,11,3,16,9,11,1,16,2,11,1,16,1,9,1,29,1,28,8,13,1,6,3,9,2,6,1,30,1,6,2,30,1,29,1,13,3,28,1,9,1,17,1,16,1,8,1,6,1,30,1,6,1,13,1,6,1,13,4,8,1,13,2,8,1,9,1,13,1,8,1,13,3,9,1,13,1,8,1,13,3,9,2,13,3,8,1,13,4,8,2,13,1,8,1,13,1,8,1,13,5,9,1,13,4,8,1,13,1,8,1,13,1,9,1,13,3,30,1,13,3,7,1,8,1,13,1,6,1,13,1,9,1,13,8,6,1,9,1,13,3,9,1,8,1,13,2,6,1,7,1,13,4,9,1,17,2,11,1,9,1,8,2,13,1,8,1,6,1,9,1,13,12,8,1,13,8,6,1,13,2,6,1,13,1,6,1,13,5,7,1,13,8,8,2,13,10,7,1,13,11,6,1,13,2,6,1,7,1,13,5,8,1,13,1,6,1,13,8,7,1,13,2,6,1,13,2,7,1,13,4,8,1,13,2,8,1,9,1,13,12,9,1,13,4,9,4,13,2,29,1,6,3,29,1,30,1,28,1,30,1,28,5,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,11,30,2,28,11,30,1,28,14,30,1,28,1,30,4,6,2,28,1,6,1,28,1,30,2,28,1,6,2,30,7,6,1,30,1,6,4,29,1,6,1,7,1,30,2,6,1,30,4,6,2,30,4,29,1,30,2,6,1,28,1,30,3,13,2,28,1,13,1,6,1,30,1,28,3,30,1,6,3,30,1,28,1,6,1,30,1,28,1,13,1,6,1,30,6,29,1,30,3,6,2,28,1,6,2,30,1,6,2,13,1,6,1,28,1,6,2,30,1,13,1,6,2,7,1,6,1,30,3,7,1,28,1,30,1,6,3,30,1,6,1,30,2,6,1,30,1,6,1,7,2,29,1,6,2,30,1,6,2,28,1,30,5,6,1,30,3,6,1,30,4,28,1,30,6,28,1,30,3,29,1,30,8,28,1,30,3,28,1,30,6,28,1,29,2,30,2,28,1,30,4,28,1,6,1,30,1,6,1,30,1,6,2,29,1,28,6,29,1,6,1,28,2,30,1,9,1,17,7,12,1,10,1,12,1,10,1,12,1,24,2,9,1,10,1,13,1,7,1,13,1,29,1,6,2,13,1,8,1,13,1,9,2,10,1,12,1,17,2,12,1,17,6,12,1,9,2,10,1,6,1,7,1,9,1,11,1,8,2,28,3,30,2,28,1,30,1,28,2,30,2,28,1,30,1,6,1,30,3,28,2,13,1,30,1,6,2,28,1,30,1,6,1,30,1,6,1,30,1,13,7,6,1,30,1,7,4,13,1,6,2,29,1,28,1,30,1,6,1,13,1,6,2,30,3,13,1,12,2,9,1,17,1,24,2,12,1,10,1,24,1,8,1,12,1,24,1,9,1,10,1,17,1,9,1,17,1,24,1,9,1,12,2,24,1,10,1,17,2,24,1,10,1,12,1,17,1,12,1,17,1,12,1,24,1,12,1,17,1,10,1,24,1,17,1,12,1,17,1,10,1,17,2,12,1,9,1,12,3,24,2,10,2,9,1,12,2,10,2,12,3,10,1,12,3,10,1,17,3,11,1,17,2,10,1,17,1,28,2,30,2,28,2,30,4,28,2,30,1,28,10,30,1,28,4,30,1,28,6,30,2,28,1,30,1,28,3,30,1,28,1,30,5,28,2,30,4,28,4,30,1,28,2,30,1,28,1,7,1,6,1,7,1,30,1,6,2,30,1,7,1,30,2,6,1,30,1,28,1,8,2,24,1,8,1,13,1,7,1,13,1,7,1,29,1,8,1,27,1,24,2,26,1,27,1,29,1,27,1,26,1,6,2,28,1,29,1,25,1,26,1,6,1,7,1,25,2,29,1,28,1,25,1,29,1,6,1,27,1,8,1,29,1,25,1,8,1,30,2,25,1,30,1,29,1,27,1,25,1,29,2,8,1,25,1,27,1,25,1,8,1,25,3,26,1,25,1,8,1,24,1,25,2,6,1,12,1,24,1,8,2,24,1,8,1,24,2,8,1,24,1,8,2,17,1,24,1,10,1,8,1,12,1,24,2,8,1,24,1,8,1,24,1,26,1,25,1,24,1,25,1,27,1,25,1,24,1,10,1,24,1,25,2,8,1,25,1,8,1,25,1,24,1,27,1,25,1,8,1,25,1,28,1,24,1,6,1,24,1,25,1,24,3,7,1,12,2,10,1,24,1,10,1,12,2,8,1,30,1,28,6,29,2,28,1,30,1,29,2,30,1,28,1,30,1,29,2,6,1,7,2,8,1,7,1,6,1,7,1,25,1,13,1,24,1,8,2,13,1,8,1,13,1,24,1,8,1,12,1,24,1,17,1,12,1,8,1,11,1,12,1,17,1,10,1,12,2,10,1,17,1,10,1,17,1,9,1,17,8,12,1,17,2,11,1,17,2,11,1,17,1,12,1,11,1,17,1,11,1,10,1,11,1,9,2,10,1,13,1,8,1,7,2,30,1,7,1,30,1,28,3,30,1,8,1,9,1,24,1,9,4,8,1,9,2,8,1,12,1,17,1,11,2,9,1,12,1,13,1,12,1,8,2,9,2,11,1,9,3,10,1,11,1,17,1,16,1,9,1,11,1,10,2,16,3,10,1,16,1,11,2,16,1,9,1,11,1,17,1,10,1,16,1,9,1,11,1,16,1,11,1,16,2,9,2,11,1,17,1,16,1,11,1,17,7,9,3,16,1,8,1,9,2,13,1,9,1,8,1,9,1,13,1,9,1,11,1,9,1,11,1,9,1,11,1,8,1,16,1,9,2,11,1,9,1,11,1,8,1,9,2,13,1,9,1,13,1,9,2,13,1,9,2,13,2,11,1,9,1,13,1,9,1,11,2,13,1,9,1,16,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,3,11,1,9,1,8,1,9,1,11,1,9,1,11,1,17,1,11,1,12,1,17,2,9,1,17,2,12,2,17,1,9,1,8,1,12,1,24,1,9,1,24,1,12,2,9,2,8,1,9,1,13,2,24,1,12,1,24,1,10,1,9,2,13,1,8,1,24,1,9,2,24,1,10,1,9,2,24,1,9,1,24,1,10,1,9,1,11,1,9,2,24,1,10,1,8,1,12,1,13,1,12,1,8,1,24,1,17,1,13,1,24,1,13,1,24,1,7,1,13,1,10,1,24,1,9,3,10,1,11,1,8,1,13,1,12,1,17,2,10,2,11,1,8,1,10,1,9,1,13,1,9,2,16,1,9,2,13,1,9,8,8,1,13,2,8,2,13,1,8,1,11,1,9,1,11,1,9,1,16,1,11,1,8,1,30,1,28,7,30,1,28,4,9,1,17,3,9,2,24,1,13,1,9,1,8,2,7,1,8,1,30,1,6,1,30,1,6,2,7,1,29,1,13,2,9,2,24,2,15,1,17,1,8,1,28,7,6,1,9,1,12,1,8,2,13,1,28,34,9,1,16,1,12,1,8,1,13,3,24,1,17,1,8,1,6,1,30,1,6,1,28,2,6,1,13,1,30,1,24,1,8,1,24,1,8,1,6,1,30,1,28,3,30,1,6,1,15,1,13,1,28,3,29,1,30,1,6,2,7,1,14,3,8,1,9,1,24,1,13,1,8,1,13,1,28,1,6,1,24,1,14,1,9,1,28,3,6,1,9,1,17,1,28,18,30,1,28,30,7,1,10,1,8,1,30,1,28,6,}, {28,31,30,1,28,9,30,2,13,1,30,1,28,3,7,1,13,1,9,1,13,1,30,1,28,5,29,1,28,1,29,1,6,1,9,1,12,1,8,1,28,6,7,1,24,1,6,4,28,9,6,1,8,1,10,1,8,1,28,45,29,1,30,1,28,3,10,2,6,1,28,3,30,1,13,1,24,2,6,2,29,1,6,3,30,1,6,1,28,10,6,1,13,1,30,1,28,6,8,1,24,1,13,1,8,1,6,2,29,1,8,1,24,1,11,1,12,1,10,1,17,3,9,1,13,1,8,1,13,2,6,1,8,1,29,1,28,38,6,1,15,2,6,1,30,1,28,4,9,1,24,1,8,1,7,1,6,1,24,1,13,2,24,1,6,2,29,1,6,1,29,1,28,5,30,3,7,1,13,1,7,1,9,1,10,1,11,1,17,4,29,1,28,71,30,1,28,19,7,1,28,1,30,1,6,1,30,1,28,1,30,1,28,1,29,1,28,1,6,1,30,2,6,2,13,1,28,1,6,1,28,1,6,2,30,1,28,1,6,1,28,2,30,1,28,1,8,1,13,1,30,1,7,1,13,1,9,1,6,3,13,1,8,1,13,2,9,1,8,1,13,1,9,1,8,3,9,1,8,1,13,3,8,1,9,1,6,3,29,1,28,1,29,1,28,3,30,1,29,1,28,1,30,2,29,1,6,2,30,1,13,1,29,1,28,1,29,1,13,1,9,1,13,2,6,1,28,2,30,1,29,1,30,2,29,1,30,2,28,1,30,1,6,1,13,1,6,2,13,3,6,1,7,1,13,1,6,3,30,1,7,2,29,2,30,1,6,1,30,1,6,1,13,1,6,2,29,1,13,1,29,1,8,1,29,1,13,3,9,1,13,3,7,1,13,1,30,1,13,1,9,1,11,5,9,1,16,2,10,1,11,1,16,2,10,1,16,2,10,1,11,5,9,1,11,1,16,1,9,2,11,1,8,1,9,4,8,2,13,2,9,3,8,1,9,1,13,1,9,2,13,1,9,3,8,1,13,1,9,1,13,5,8,2,9,1,8,1,7,1,28,1,13,1,6,1,13,1,6,1,29,1,30,1,28,33,24,1,9,1,17,2,11,2,9,5,8,2,9,1,7,1,8,1,10,1,8,2,24,1,13,2,29,1,8,1,30,1,29,1,13,1,8,1,13,2,6,1,8,1,30,1,29,1,30,1,28,3,30,1,28,12,6,1,28,1,30,1,7,1,28,1,7,1,6,1,29,1,6,1,30,1,29,1,30,1,28,1,30,1,28,1,29,1,28,4,30,1,28,18,30,1,28,4,30,1,29,1,6,2,29,1,28,1,6,2,29,1,30,1,28,1,30,1,13,1,6,1,28,1,6,1,28,1,6,1,28,2,6,1,28,1,29,1,28,8,30,1,28,3,6,3,7,1,30,2,6,1,29,1,6,1,28,2,29,2,28,1,29,1,28,1,30,1,28,1,6,1,29,1,28,2,13,2,6,2,13,1,6,1,8,1,29,1,13,1,7,1,6,1,7,1,6,1,13,5,6,1,9,2,13,2,8,1,9,1,8,3,13,1,10,1,13,1,24,1,6,1,30,1,13,1,6,1,13,1,6,1,28,2,6,1,28,12,30,1,28,92,6,1,13,2,30,1,6,3,13,1,9,1,8,1,9,1,13,1,16,1,8,1,9,3,28,1,6,1,7,1,13,7,30,1,13,1,7,1,6,1,13,3,9,1,8,1,11,1,9,1,6,1,13,2,30,1,13,3,7,1,13,1,9,1,11,3,17,1,16,1,9,1,16,1,11,1,16,1,17,1,16,1,17,1,16,2,11,2,16,1,11,1,17,1,11,1,16,1,13,1,28,8,30,1,8,1,13,2,11,1,17,1,13,9,9,1,13,1,16,1,9,2,13,1,16,1,11,1,9,6,8,2,13,1,8,1,9,1,13,1,8,2,13,4,8,1,13,6,9,1,13,1,8,1,13,2,8,1,13,2,8,1,9,1,8,1,13,4,8,1,13,7,7,2,8,1,13,6,6,1,13,1,6,1,13,7,6,1,13,8,6,1,13,3,6,1,13,7,7,1,13,1,9,1,16,1,9,1,16,1,9,2,8,1,13,1,9,1,13,1,8,1,13,1,7,2,13,1,6,1,13,1,6,1,13,4,6,1,13,1,6,1,13,3,6,1,7,1,6,2,13,1,6,1,7,1,6,1,13,1,7,1,13,1,6,1,13,5,8,3,13,2,6,1,13,5,9,1,7,1,13,1,8,1,6,1,13,7,8,1,7,1,13,9,6,1,13,7,6,1,13,2,6,1,13,7,6,1,13,1,6,1,30,1,8,1,6,1,13,2,6,1,13,1,6,1,13,2,7,1,13,2,6,1,7,1,13,6,6,1,13,2,8,1,13,6,8,1,13,2,8,1,13,1,8,1,13,1,9,1,8,1,13,1,8,1,13,8,6,2,30,2,6,1,28,1,7,1,6,1,30,3,28,1,30,1,28,1,6,2,28,11,30,1,13,1,28,2,30,1,28,25,30,1,28,1,30,1,28,2,6,1,30,3,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,3,28,1,30,2,28,8,30,1,28,16,30,4,28,1,30,1,28,1,6,1,30,5,28,1,30,1,6,1,28,1,30,1,28,2,30,2,28,1,6,2,29,1,6,1,30,2,6,5,29,1,13,1,28,1,30,1,6,1,13,1,30,1,6,1,30,1,6,1,13,1,6,4,13,1,7,1,6,1,30,1,13,1,6,1,30,1,6,1,13,1,30,1,6,1,30,2,28,1,6,1,30,3,6,2,30,4,29,1,30,2,28,1,30,8,6,1,30,1,28,1,30,3,28,1,30,3,28,1,30,1,28,2,6,1,28,1,30,1,6,2,30,1,6,1,30,2,6,1,28,1,30,2,28,1,30,2,28,1,30,5,29,1,6,2,29,1,30,1,29,1,13,1,6,2,13,1,6,1,28,6,30,1,13,1,9,1,17,3,11,1,12,1,17,2,12,2,24,1,13,1,6,1,8,1,12,1,17,1,6,1,13,1,7,1,29,1,28,2,30,1,7,2,13,1,24,1,8,1,9,2,8,1,10,1,17,7,9,1,8,1,11,1,13,2,30,1,28,6,30,2,28,2,30,4,28,1,30,1,29,1,30,2,6,1,28,2,6,1,30,5,6,1,30,1,28,1,30,2,6,2,13,1,7,1,6,2,13,3,30,2,6,1,13,1,6,2,30,1,28,1,6,1,13,1,6,2,30,3,10,1,17,1,8,1,24,1,12,1,8,1,24,1,8,1,24,1,8,1,13,1,12,1,24,1,10,1,17,1,12,1,8,1,12,3,17,1,10,2,12,1,24,1,17,1,9,1,12,2,10,1,9,1,17,1,24,2,12,1,24,1,12,1,17,1,8,1,24,1,10,1,17,1,10,1,17,1,10,1,9,1,8,1,12,1,10,2,17,1,24,1,12,1,24,1,17,1,9,1,10,1,9,1,10,2,12,3,10,1,17,1,10,2,12,1,17,2,11,1,17,1,11,1,17,1,28,2,30,1,28,1,30,2,28,1,30,2,28,1,30,2,28,5,30,1,28,4,30,1,28,13,30,1,28,6,30,1,28,1,30,2,28,6,30,1,28,4,30,2,28,2,30,2,6,4,13,1,30,2,6,1,29,1,30,1,6,1,30,1,28,1,9,1,8,1,13,1,24,1,13,1,6,2,13,1,8,2,29,1,8,2,25,1,27,1,8,2,6,2,7,2,28,1,8,1,29,1,27,1,25,1,8,1,29,1,25,1,30,1,27,1,30,1,27,1,25,1,29,1,8,1,25,1,8,1,26,1,25,1,29,1,27,1,30,1,28,1,27,1,29,2,27,2,25,1,26,1,8,1,25,1,24,1,6,1,25,1,8,1,25,2,8,1,24,1,25,1,24,1,10,1,24,1,8,1,25,1,12,1,24,1,10,1,24,4,13,1,8,1,24,1,8,1,10,1,24,1,12,1,24,1,8,4,25,1,27,1,25,2,24,1,26,1,28,1,26,1,8,1,25,2,24,1,6,1,25,2,8,1,26,1,8,2,25,1,12,1,25,1,8,1,7,1,10,1,8,1,25,1,24,1,8,1,12,1,10,2,9,1,8,1,13,1,30,1,7,1,28,6,29,1,28,2,29,4,6,1,25,1,6,2,29,1,13,1,6,1,8,1,6,1,25,1,8,1,13,1,6,1,29,1,8,1,7,1,8,1,29,1,25,1,10,1,24,2,8,1,12,1,9,1,10,1,11,1,10,1,12,1,11,2,17,1,12,1,11,2,17,1,10,1,11,1,17,2,11,1,17,2,12,1,17,2,11,1,17,2,11,1,12,1,17,2,11,1,17,1,11,1,9,1,11,2,10,1,9,1,11,1,9,2,8,1,13,1,8,1,13,1,6,1,30,1,6,1,28,3,29,1,13,2,29,1,13,1,9,1,13,3,9,1,17,1,10,1,12,1,11,1,9,1,11,1,9,1,13,2,8,1,9,2,8,1,9,1,16,1,17,1,11,3,16,1,10,1,16,1,13,1,9,1,17,1,9,1,11,1,17,1,16,1,9,1,17,1,16,1,11,2,9,3,8,1,17,1,16,1,11,1,9,2,16,1,17,1,11,1,17,2,11,2,17,3,16,1,17,1,11,3,9,1,16,1,9,2,11,1,9,1,11,1,8,1,16,1,9,6,13,1,9,1,13,1,10,1,8,1,9,2,11,1,13,1,9,1,13,2,7,1,13,2,9,1,11,1,9,4,11,1,13,1,9,1,13,1,9,2,11,1,16,1,9,1,13,1,9,1,8,3,13,2,9,2,8,1,13,1,9,1,11,1,12,1,10,1,11,1,17,2,12,1,17,1,10,1,12,1,9,1,12,1,10,2,17,1,8,1,12,1,8,1,24,1,12,1,13,1,10,1,13,2,10,1,24,1,9,1,24,1,9,1,11,1,6,1,10,1,17,1,11,1,9,1,8,1,24,1,10,1,9,1,17,1,9,1,10,1,8,1,11,1,10,1,9,1,13,1,9,3,8,1,13,1,8,1,11,1,8,3,12,1,24,2,8,2,13,1,9,1,24,1,12,1,8,1,6,1,24,1,8,1,13,1,10,1,24,1,12,1,8,1,12,1,17,1,11,2,17,1,12,1,11,1,17,1,9,1,13,2,9,1,13,1,9,2,13,1,9,2,13,3,8,1,13,1,9,1,13,1,11,1,9,4,13,1,11,1,9,5,11,2,9,1,30,1,28,3,30,1,28,8,8,1,17,2,12,1,10,1,12,1,13,2,8,1,13,1,6,1,13,1,8,1,6,1,29,1,13,1,6,1,29,1,30,1,6,1,13,1,9,1,24,1,13,1,12,1,8,1,15,1,9,1,13,1,28,7,6,1,9,1,11,1,10,1,24,1,6,1,30,1,28,32,6,1,8,1,14,1,11,1,9,1,13,2,12,1,24,2,13,1,29,2,30,2,28,1,30,2,13,2,24,1,10,1,13,1,8,1,28,3,30,1,6,1,9,1,10,1,8,1,30,2,29,1,28,1,29,1,6,1,8,1,9,1,10,1,15,2,8,1,24,2,10,1,13,1,29,1,30,1,13,1,11,1,12,1,8,1,30,1,28,2,6,1,9,2,6,1,28,48,29,1,8,2,6,1,28,6,}, {28,40,30,1,6,1,30,2,28,3,6,1,13,1,12,1,24,1,13,1,30,1,28,2,30,1,28,5,30,1,13,1,10,1,13,1,30,1,28,4,30,1,6,1,13,1,8,1,13,1,28,1,6,1,28,9,30,1,29,1,8,1,24,1,30,1,28,46,29,1,28,1,6,1,9,1,24,1,29,1,28,4,24,1,8,1,24,1,30,1,29,1,6,2,8,1,28,1,30,1,6,1,29,1,30,1,28,8,30,1,6,1,29,1,28,6,8,1,12,1,13,1,8,1,13,1,6,1,29,1,13,1,24,1,9,2,16,1,12,1,17,2,9,1,24,1,13,2,30,1,13,1,8,1,30,1,28,35,30,1,28,2,8,1,24,1,15,1,13,1,30,1,28,4,8,1,9,1,29,1,24,1,6,1,24,1,8,1,13,2,8,1,30,1,6,1,29,2,13,1,28,5,7,1,6,2,8,3,10,1,12,1,17,4,7,1,28,67,30,1,28,14,30,1,28,9,6,1,28,2,30,1,28,1,30,1,6,1,28,1,6,1,30,1,7,1,29,1,30,1,13,1,30,1,28,1,6,1,30,1,28,1,6,3,7,1,8,1,6,1,8,1,13,2,9,3,11,1,9,1,13,1,8,1,13,1,8,3,9,1,8,1,13,1,9,5,11,1,10,1,11,1,9,1,17,1,11,1,13,1,8,1,9,1,6,3,30,1,28,1,29,1,28,1,29,1,28,1,30,1,28,3,30,1,6,1,13,1,6,2,30,2,9,2,13,1,8,1,29,1,28,2,30,2,29,1,28,1,6,1,28,1,13,1,7,1,13,4,6,1,30,2,29,1,6,1,7,1,29,3,30,1,6,1,30,1,6,3,28,1,29,1,6,1,30,1,6,2,7,2,6,2,13,4,8,1,13,4,7,1,9,1,13,1,8,1,11,1,9,1,10,1,11,2,16,1,11,6,9,1,16,1,11,1,16,1,11,1,16,1,11,3,9,1,11,2,13,1,9,2,8,2,10,1,9,1,13,1,9,1,8,2,9,1,13,1,8,1,9,1,10,1,13,2,8,1,9,1,8,1,9,2,8,1,9,1,8,3,9,2,13,1,8,2,13,2,6,2,8,1,6,1,7,1,6,1,7,1,13,1,30,3,28,32,24,1,10,1,17,1,16,1,12,1,10,1,9,2,8,1,9,1,8,1,9,1,8,1,13,1,9,4,17,1,8,3,13,1,8,1,13,2,7,2,6,2,7,1,6,1,13,1,6,1,28,1,6,1,30,1,7,1,28,11,30,1,28,1,30,2,28,3,30,1,29,1,6,1,8,1,6,1,30,1,29,1,30,2,28,1,30,1,28,2,30,1,28,4,30,1,28,3,30,1,28,5,30,1,28,5,29,1,28,3,30,2,28,1,30,1,29,1,28,1,30,1,8,1,28,1,6,2,28,1,30,1,28,1,30,2,6,1,28,4,30,1,29,1,28,3,30,1,28,9,30,1,6,1,7,1,28,1,6,2,28,1,29,2,28,2,6,1,28,1,29,3,30,4,6,3,13,2,7,1,24,1,7,1,6,1,7,1,6,2,13,4,6,1,13,1,8,1,7,1,8,1,13,1,29,1,24,1,13,6,8,1,7,1,8,1,13,1,24,1,13,2,8,2,13,1,28,1,29,1,13,1,30,1,28,4,29,1,6,1,29,1,28,3,30,1,28,26,30,1,28,65,13,4,6,3,13,2,8,1,9,1,11,2,9,2,8,1,9,2,28,1,13,1,6,1,13,1,6,2,13,5,6,1,13,3,9,3,11,1,9,1,8,1,13,1,6,2,13,4,9,3,11,1,16,1,11,2,9,1,16,2,9,1,16,1,10,1,11,1,17,1,11,1,16,4,11,1,16,1,11,1,9,1,28,5,29,1,6,1,28,1,30,1,6,1,13,1,9,1,8,1,11,2,8,1,13,2,9,2,8,3,13,1,9,2,13,1,9,3,8,1,13,1,9,1,13,2,9,1,8,1,13,2,9,1,13,1,9,1,8,1,13,4,6,1,13,3,7,1,13,6,8,1,13,1,8,1,13,3,9,1,13,9,6,1,13,4,9,1,13,2,9,1,13,5,8,1,13,9,7,1,13,1,8,1,7,1,13,1,8,1,13,1,8,1,13,1,9,1,8,2,6,1,13,3,8,1,6,1,9,1,13,4,7,1,9,1,17,1,9,2,13,1,8,1,9,2,13,5,7,1,13,12,7,2,13,4,7,1,13,3,6,1,13,2,6,2,7,1,13,3,6,1,13,1,6,1,13,9,9,1,13,1,8,1,13,12,6,1,13,7,7,1,13,4,8,1,7,1,13,5,6,1,8,1,6,1,7,1,6,1,13,2,6,2,13,2,6,2,13,3,6,2,13,1,8,1,9,1,13,1,7,1,6,1,13,1,6,2,13,1,6,1,8,1,6,1,13,2,6,1,13,2,6,1,13,3,8,1,13,4,6,1,13,1,6,1,13,10,8,3,13,2,8,1,13,3,9,1,13,7,6,1,13,1,30,2,6,1,28,1,30,1,6,1,13,2,6,1,9,1,16,1,30,1,6,2,30,2,28,19,30,1,28,30,30,1,28,2,6,1,29,1,28,3,30,1,28,2,30,1,28,6,30,1,28,5,30,1,6,1,28,16,30,1,28,4,30,1,28,1,30,2,6,1,30,3,28,1,6,1,30,4,6,1,30,1,6,1,13,1,30,1,6,2,28,1,6,2,30,2,28,1,30,1,13,1,30,1,28,1,30,2,7,1,30,1,6,2,30,2,28,1,30,2,6,1,30,2,6,1,30,1,28,1,30,2,29,1,28,1,6,1,30,1,6,1,28,1,30,2,6,1,30,5,28,4,30,5,28,4,30,1,28,2,6,1,28,1,30,5,28,1,30,1,28,1,30,4,28,2,30,3,6,1,30,2,13,1,11,1,17,11,11,2,10,1,12,1,9,2,12,1,11,1,17,1,10,1,17,1,13,1,7,2,6,1,13,1,24,1,17,1,6,1,30,1,7,1,28,1,29,1,30,1,29,1,6,1,29,2,13,4,7,1,8,1,9,1,12,3,17,3,9,1,28,1,6,1,30,4,28,7,30,3,28,1,30,4,6,1,30,1,28,1,30,3,28,1,30,5,6,1,28,1,30,1,6,1,28,1,30,1,6,1,29,1,6,4,7,2,6,2,30,1,6,4,30,2,29,1,6,3,29,1,6,1,10,1,9,1,8,1,24,1,7,2,24,4,8,2,24,1,8,1,24,1,17,1,12,4,10,2,9,1,12,2,9,1,17,1,10,1,12,1,8,1,9,1,12,1,17,1,12,3,24,2,12,1,24,1,17,1,12,1,24,1,17,1,12,1,24,1,12,3,17,1,24,1,12,3,9,2,12,2,24,1,17,1,12,2,17,1,12,1,17,1,12,1,17,2,12,1,10,2,9,1,17,2,28,1,30,1,6,1,30,1,28,1,30,5,28,4,30,2,28,2,30,1,28,4,30,1,28,8,30,1,28,1,30,1,28,4,30,1,28,1,30,2,28,1,30,1,29,1,30,2,28,1,30,1,28,3,30,1,28,6,30,1,29,1,30,1,6,2,7,1,6,1,29,1,6,6,30,1,28,1,6,1,9,1,24,1,8,4,13,1,6,4,27,1,25,1,26,3,6,1,29,1,25,1,7,1,25,1,7,1,25,1,8,1,27,1,29,1,26,1,29,2,27,1,29,1,8,1,25,1,29,2,26,1,24,1,6,1,29,2,30,1,27,1,30,1,6,1,27,1,25,1,27,1,25,4,27,1,25,1,26,1,24,1,8,3,29,1,24,1,25,1,24,1,6,1,12,1,8,1,24,1,12,1,24,1,8,1,12,2,8,1,10,1,24,3,8,2,13,1,10,1,8,1,12,1,8,1,24,1,25,3,8,1,25,1,8,1,25,1,24,1,12,1,8,1,26,1,24,1,26,1,25,2,29,1,27,1,25,1,24,1,25,2,8,1,24,1,25,1,24,1,8,1,24,1,8,2,24,1,10,1,24,3,10,1,8,1,6,1,28,1,30,1,28,5,30,3,28,2,29,1,30,1,27,1,6,1,29,1,6,4,13,1,29,1,7,1,30,1,6,1,25,1,7,1,13,1,6,1,7,1,25,1,8,2,10,1,24,5,8,1,10,1,12,3,8,1,17,1,11,1,12,1,17,3,12,1,17,9,12,1,17,1,11,1,17,1,11,1,17,1,12,1,11,1,17,1,11,1,12,1,9,1,10,1,9,1,11,1,10,2,9,2,13,1,11,3,13,1,7,1,30,1,28,1,30,1,28,1,29,1,28,1,30,1,8,4,9,2,11,1,12,1,10,1,9,1,11,2,9,1,10,1,8,3,9,1,13,1,17,1,8,1,11,3,9,1,11,1,16,2,9,1,16,3,11,1,9,1,11,1,9,1,16,2,10,1,16,1,13,1,11,2,16,1,9,2,11,1,16,2,17,1,16,2,17,1,16,1,11,1,17,5,9,1,16,1,11,1,9,1,16,1,9,3,8,1,11,1,8,1,9,1,8,1,11,1,8,1,9,2,8,1,9,3,13,1,9,4,13,2,9,1,13,4,8,1,6,1,9,4,13,2,11,1,9,1,10,1,13,1,9,2,6,1,9,1,17,1,13,1,9,3,11,1,8,1,11,2,17,1,11,1,17,1,12,1,17,1,11,1,17,3,12,3,17,1,12,1,10,1,13,1,10,1,24,1,10,1,12,1,10,1,9,1,24,2,10,1,24,1,8,1,6,1,24,1,8,1,9,1,13,1,9,1,12,1,9,1,24,1,10,1,9,1,24,1,9,1,8,1,24,1,8,1,12,1,24,1,9,2,12,1,11,2,24,1,10,1,9,1,12,2,8,1,9,1,8,1,11,1,9,1,10,1,8,1,12,1,24,1,10,1,13,1,8,1,9,1,24,2,13,2,8,2,10,1,12,1,10,1,17,1,12,2,9,1,11,1,17,1,11,4,9,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,11,1,13,1,10,1,9,1,8,1,13,1,9,2,11,1,9,2,8,1,9,1,8,1,10,1,9,3,11,1,9,2,30,1,28,2,30,1,28,9,10,1,12,1,17,1,16,1,12,1,9,1,13,3,8,1,7,1,6,1,13,1,6,1,28,1,13,1,6,2,13,1,6,1,13,1,24,1,9,2,15,3,9,1,13,1,30,1,28,6,8,1,24,1,10,1,8,1,13,2,28,34,9,1,16,1,10,1,11,1,13,2,8,1,9,1,8,2,13,1,28,2,29,1,28,1,29,1,6,2,8,1,9,2,13,1,6,1,28,4,30,1,8,1,9,1,13,1,6,1,28,1,30,1,29,2,6,1,13,1,15,3,12,1,8,1,12,1,7,1,13,1,6,2,30,1,7,1,9,1,12,1,8,1,28,2,29,1,13,1,12,1,24,1,6,1,28,36,30,1,28,11,24,1,10,1,8,1,6,1,28,6,}, {28,40,30,1,6,1,29,1,28,4,13,1,12,1,11,1,9,1,13,1,6,1,30,1,28,1,30,1,29,1,30,1,28,4,13,1,24,1,8,1,6,1,28,5,6,1,24,2,6,2,29,1,28,1,30,2,28,7,8,1,14,1,24,1,28,45,30,2,28,1,30,1,28,1,9,1,24,1,28,4,30,1,6,1,13,1,24,1,6,1,28,1,30,1,7,1,29,4,28,1,30,1,28,8,30,1,6,2,28,6,6,1,24,1,13,1,7,2,6,1,7,1,13,2,24,1,9,1,17,2,16,1,17,1,12,1,9,1,6,1,7,1,13,1,6,1,13,1,28,38,7,1,24,1,8,1,24,1,7,1,28,5,13,1,9,1,13,1,7,1,13,1,24,1,8,1,13,1,7,1,8,1,28,1,6,2,30,1,29,1,28,2,30,2,6,1,30,2,7,1,13,1,8,1,24,1,9,1,17,4,14,1,7,1,28,95,29,3,28,2,6,1,28,1,6,1,28,2,6,1,28,1,30,2,28,1,6,1,28,1,13,1,8,1,13,1,8,3,9,1,8,1,9,2,8,3,13,1,9,1,13,1,8,1,9,1,6,1,9,1,13,3,9,1,13,2,9,1,8,1,9,1,13,1,8,1,10,2,11,2,16,1,17,1,9,1,11,1,6,1,13,1,28,1,30,1,7,1,30,1,28,1,6,1,30,1,29,1,6,1,28,1,7,1,6,1,29,1,6,1,29,1,7,1,13,1,6,1,9,1,28,2,29,1,30,1,28,1,29,1,30,1,6,1,13,1,30,1,6,1,30,1,6,3,29,1,28,1,29,1,6,2,30,1,6,6,30,1,6,1,29,1,30,3,13,1,6,1,13,1,29,1,30,1,29,1,7,1,6,1,13,1,6,1,13,1,7,1,13,5,9,2,11,1,9,1,11,2,16,1,9,3,11,1,8,1,11,7,16,1,9,1,10,2,9,4,11,2,9,1,11,1,10,1,9,1,11,1,8,1,9,1,8,1,9,1,13,2,9,1,13,1,8,1,9,1,13,1,8,1,9,1,13,1,9,1,8,1,13,2,9,1,13,2,8,1,7,1,13,2,8,1,13,2,6,2,30,1,28,1,7,1,6,1,28,1,30,1,28,35,8,1,17,2,11,1,17,1,9,1,8,1,11,1,9,3,11,1,13,1,9,2,13,1,11,1,8,2,9,1,8,1,6,1,13,1,8,1,24,1,13,1,6,1,13,2,30,1,7,1,6,1,7,1,30,1,28,1,6,1,28,1,30,1,28,1,29,1,28,12,30,2,28,1,7,1,6,2,7,2,6,2,30,1,29,1,6,1,28,1,30,2,28,10,30,1,28,13,30,1,29,1,30,2,28,1,30,1,28,1,30,1,29,2,6,1,7,1,28,1,30,1,28,1,29,1,7,1,29,1,6,1,29,1,28,1,30,1,28,1,6,1,28,2,29,1,30,2,28,7,29,1,28,1,6,1,30,1,6,1,28,1,30,1,7,1,29,1,8,1,29,1,30,1,29,1,30,1,28,1,6,1,28,1,30,1,29,1,6,2,28,1,7,1,13,1,6,1,7,1,6,1,7,1,13,1,30,1,8,1,13,1,6,2,13,1,7,1,6,1,8,1,6,1,13,1,8,1,13,4,6,1,13,2,6,1,13,1,6,3,28,1,6,1,7,1,29,1,13,1,6,1,13,1,24,1,13,1,28,2,13,1,30,1,6,1,28,2,29,1,28,2,6,3,28,26,30,1,28,66,7,1,13,3,7,1,13,3,9,3,13,1,9,3,11,1,13,1,8,1,9,1,6,1,30,1,6,3,30,1,6,1,13,1,9,1,13,2,9,1,13,1,6,1,10,1,9,1,13,1,9,1,11,1,13,1,8,1,28,1,30,1,13,2,9,1,11,1,9,6,11,1,16,1,9,1,11,2,16,3,11,1,16,1,9,1,11,1,16,1,11,1,16,1,17,1,16,1,13,1,28,5,6,1,7,1,13,1,30,1,6,1,13,1,9,3,11,1,8,1,13,1,9,1,13,1,8,1,13,3,9,1,8,1,13,3,9,1,13,1,8,1,13,4,8,1,13,20,8,1,13,4,8,1,13,2,6,1,13,2,8,1,13,3,29,1,13,4,8,1,13,2,8,1,9,1,13,1,9,1,13,1,8,2,13,1,9,1,13,1,8,1,13,1,8,1,13,1,8,1,7,1,13,1,9,1,13,5,6,1,7,1,13,1,6,1,8,1,13,5,7,1,13,3,7,1,13,6,9,1,17,1,11,1,9,2,13,1,8,1,13,7,30,1,13,6,7,1,13,1,6,1,29,1,13,2,6,1,13,1,7,1,13,2,7,1,29,1,13,6,8,1,13,16,8,1,13,6,7,1,8,1,13,1,6,1,7,1,8,1,13,4,7,1,13,7,7,1,13,3,6,1,13,6,6,1,13,2,6,1,13,5,7,1,13,1,7,1,13,1,29,1,13,2,6,1,13,1,7,1,6,1,8,1,13,1,6,1,13,2,6,2,13,2,7,1,13,1,7,1,13,1,7,1,13,12,6,1,13,13,8,1,13,3,8,1,13,3,8,1,13,1,7,1,13,2,9,2,13,2,8,1,10,1,8,1,13,1,8,1,13,1,8,2,13,3,9,1,13,2,8,1,13,1,9,1,13,1,6,1,13,1,30,1,28,22,30,1,28,1,30,1,28,2,30,2,28,10,30,1,28,1,30,1,6,1,30,1,29,1,6,2,13,2,6,1,30,1,13,1,7,1,13,2,9,1,13,1,7,1,6,1,30,1,13,2,6,1,29,1,6,2,13,1,8,1,6,1,13,1,6,1,28,2,30,2,28,22,30,1,28,2,30,1,28,1,30,3,28,1,6,1,28,38,30,1,28,25,30,1,28,2,30,1,28,3,30,2,28,1,30,3,28,1,30,1,28,1,30,3,7,1,10,1,13,1,11,1,17,7,11,1,12,1,11,1,17,1,9,1,8,1,10,1,24,1,8,2,9,1,12,2,17,1,10,1,7,1,30,1,28,1,6,1,30,1,29,1,12,1,17,1,7,1,28,1,29,1,28,2,29,1,28,1,30,1,28,1,29,1,28,1,7,1,29,2,6,1,13,1,6,1,9,2,17,1,12,1,17,3,28,4,30,1,6,1,28,10,30,2,28,3,30,1,28,1,30,2,6,1,30,1,28,1,30,4,6,3,30,1,6,1,30,4,6,1,13,1,6,10,30,3,28,1,6,2,13,1,30,1,8,2,13,1,7,1,6,1,25,1,29,1,24,2,8,1,24,3,12,1,24,1,13,1,12,1,10,1,17,1,24,1,12,2,17,1,24,4,17,1,24,1,12,1,24,1,8,1,10,3,12,1,10,1,12,1,10,2,24,1,17,1,10,1,12,1,10,1,17,1,10,3,12,1,24,1,17,3,10,2,12,2,17,1,12,1,9,1,10,1,17,2,10,1,12,4,9,1,12,1,17,1,12,2,17,1,28,2,6,1,30,3,29,1,30,3,28,2,30,1,28,10,30,1,28,1,30,1,28,2,30,1,28,2,30,1,28,9,30,1,28,1,6,1,30,9,28,3,30,1,28,3,30,1,6,1,13,1,6,6,30,1,6,1,28,1,6,1,30,2,28,1,9,1,10,1,8,1,24,1,13,4,25,3,29,1,24,1,27,1,8,1,30,1,25,1,30,1,25,1,29,1,27,1,26,1,25,1,29,1,24,1,29,1,6,1,29,1,6,1,28,1,6,1,30,1,7,1,27,1,7,1,6,1,25,2,6,2,27,1,29,1,26,1,28,1,26,1,29,2,25,1,27,1,29,1,25,1,6,1,8,1,6,2,8,2,25,1,8,4,24,4,8,1,24,2,8,1,24,3,10,1,24,2,25,1,24,3,10,1,25,1,17,1,24,1,25,1,8,1,24,1,25,1,6,1,26,1,8,1,25,2,29,1,26,1,8,1,29,1,25,4,8,1,25,1,24,2,25,1,8,2,24,2,8,1,6,1,24,4,12,1,10,1,24,1,8,1,13,1,28,3,30,1,28,1,30,1,28,1,29,2,28,2,30,2,29,5,30,1,6,3,29,1,7,1,13,1,25,1,8,1,29,1,7,1,8,1,25,1,8,2,25,2,24,1,8,1,13,2,24,3,9,1,12,1,17,2,12,1,11,2,17,1,11,1,12,2,17,11,12,1,11,1,17,1,11,5,10,1,11,3,17,1,12,1,10,3,9,2,11,1,12,2,9,1,8,1,17,1,11,1,8,1,29,2,28,1,6,2,9,1,13,1,9,1,12,1,17,1,9,1,10,1,9,1,10,1,9,1,10,1,9,1,11,1,13,1,8,1,9,2,13,1,11,1,9,1,17,1,11,1,16,1,9,1,11,1,8,1,16,1,11,1,16,4,10,1,9,1,16,1,10,1,9,1,11,1,16,1,9,2,16,1,11,1,16,1,11,1,9,1,16,2,17,1,16,1,11,1,17,2,11,1,16,1,17,3,11,2,16,2,11,2,9,1,10,1,9,1,8,1,9,3,13,1,9,2,13,2,16,1,9,2,11,1,9,1,11,1,8,1,13,1,9,1,13,3,30,1,13,1,6,3,9,2,13,3,9,2,13,2,8,1,9,2,10,1,9,1,16,1,17,3,11,1,17,3,11,1,12,1,17,2,12,1,10,4,12,3,9,1,17,1,12,1,24,1,10,1,12,1,9,1,13,1,10,1,24,1,10,1,7,1,24,1,8,2,9,1,12,1,10,1,24,1,13,1,9,1,11,1,13,1,17,1,9,2,8,2,10,1,8,1,12,1,10,1,9,2,24,1,11,1,8,1,12,1,8,1,17,1,9,2,8,1,12,1,24,1,8,1,24,1,9,1,24,1,9,1,10,1,24,1,12,1,9,1,24,1,8,1,9,1,10,2,24,1,9,1,8,1,9,2,11,1,9,1,10,1,9,1,10,1,11,2,10,1,17,5,11,1,6,1,9,3,16,1,6,1,11,1,9,1,11,2,8,3,9,2,11,1,9,1,8,1,9,2,13,1,8,1,9,7,30,1,28,3,30,1,28,7,6,1,11,1,17,1,12,1,17,2,9,2,7,1,24,1,13,4,29,1,6,1,29,1,6,1,13,2,6,1,13,1,9,1,8,1,11,1,15,2,17,1,11,1,8,1,30,1,28,6,6,1,24,1,9,1,8,1,24,1,7,1,28,33,6,1,9,1,12,1,11,1,13,1,8,1,7,1,13,1,9,1,24,1,13,2,28,3,30,2,6,1,24,1,8,1,9,1,8,1,12,1,6,1,28,4,30,1,24,1,9,1,13,2,6,1,28,1,6,1,29,1,13,1,10,1,15,1,14,1,15,1,10,2,12,1,8,1,29,1,30,2,28,1,8,1,11,1,24,1,9,1,28,3,29,1,24,1,9,1,30,1,28,37,30,1,28,9,6,2,9,1,8,1,30,1,28,6,}, {28,37,13,1,24,1,7,1,29,1,6,1,28,5,13,2,9,1,10,1,8,1,7,1,6,1,30,1,28,6,30,1,13,1,8,2,29,1,28,5,6,1,12,1,7,1,8,1,28,1,6,1,28,9,30,1,7,1,24,1,8,1,6,1,28,45,29,1,28,3,8,2,29,1,28,4,30,1,10,1,8,1,30,2,29,1,7,1,29,2,6,2,25,1,30,1,28,9,6,1,28,7,7,1,8,1,24,1,8,1,6,2,30,1,6,1,8,1,9,1,11,1,12,1,16,1,17,2,14,1,8,1,13,1,6,1,13,1,29,1,13,1,28,35,29,1,28,3,24,1,8,1,9,1,13,1,29,1,30,1,28,3,8,1,9,1,10,1,8,1,13,1,8,1,13,1,7,2,13,1,29,1,28,1,30,1,6,1,28,3,30,1,29,1,30,1,6,2,24,3,10,1,12,2,10,1,17,3,29,1,28,82,30,1,28,12,29,1,28,3,6,1,13,1,6,1,29,1,30,1,6,1,28,2,13,1,6,1,13,3,9,1,8,1,10,1,9,1,13,1,8,2,13,1,9,1,8,1,9,1,8,1,13,3,7,1,13,1,6,1,13,3,8,1,13,1,6,1,13,2,8,1,13,2,8,1,13,1,10,1,9,2,13,1,9,1,11,1,9,3,8,1,13,1,6,1,28,2,6,2,28,3,29,1,28,1,6,1,30,2,13,1,7,1,13,1,6,1,24,1,6,1,28,1,6,1,30,1,28,1,29,1,13,1,28,1,6,2,30,1,8,1,13,2,29,1,6,2,30,3,6,1,7,1,28,3,30,1,29,1,28,1,6,2,28,1,6,1,30,3,6,2,7,1,6,2,13,1,7,1,29,1,13,2,6,1,13,3,17,2,9,1,16,1,11,1,9,1,16,2,9,2,16,2,9,1,11,1,9,2,11,2,9,1,16,1,9,2,11,2,9,1,16,1,11,1,9,1,11,1,9,4,10,1,9,2,8,2,9,5,8,1,9,1,8,1,13,3,9,1,13,1,9,1,8,1,13,1,8,1,13,1,6,1,13,1,7,1,13,2,6,1,13,1,29,1,28,1,29,2,30,2,28,36,6,1,9,1,17,2,11,1,17,1,11,2,9,3,11,2,13,1,9,1,8,1,10,1,24,1,8,2,24,1,9,1,8,1,13,1,29,1,13,1,29,1,7,1,30,1,29,1,6,1,29,2,13,1,6,1,7,1,6,1,30,1,6,1,29,1,6,1,28,1,30,1,6,1,28,2,30,1,28,1,30,1,28,6,29,2,30,1,6,1,7,1,13,1,29,1,6,1,30,4,28,9,6,1,28,1,30,1,28,13,30,1,28,2,29,1,30,1,29,1,28,2,6,2,28,1,29,1,30,2,28,1,6,1,30,1,29,1,28,2,7,1,6,2,28,1,6,2,30,1,28,2,30,1,28,1,30,1,28,7,6,1,30,1,6,1,8,1,6,1,8,1,6,2,29,1,6,1,30,1,6,1,28,1,30,1,6,1,30,1,29,1,6,1,29,1,6,1,28,1,6,3,13,1,6,2,7,1,6,2,13,1,7,1,30,1,13,1,6,1,13,1,6,1,13,1,30,2,6,1,13,1,7,1,30,1,6,1,29,2,6,1,29,1,6,1,28,1,30,2,28,1,30,2,29,1,30,1,13,3,30,1,13,2,30,3,28,3,30,1,28,1,30,2,28,25,30,1,28,65,13,1,9,1,13,2,6,1,13,1,30,1,8,1,9,1,13,1,8,1,9,3,8,1,10,1,9,1,16,1,9,2,6,1,29,1,13,1,7,1,6,2,7,1,6,1,13,1,9,1,6,1,13,3,9,1,13,1,9,1,8,1,9,1,30,1,6,1,13,1,6,1,13,2,9,3,13,1,9,2,11,2,16,1,8,1,16,2,11,1,16,4,11,1,16,2,11,1,16,1,11,1,9,2,28,5,13,3,30,1,13,1,6,1,13,1,8,1,9,1,11,1,13,1,8,1,13,9,8,2,13,3,9,1,7,1,9,1,13,10,8,1,13,12,8,1,13,13,9,1,13,2,8,2,13,7,9,1,7,1,13,3,9,1,13,1,6,1,9,1,6,1,13,1,9,1,13,1,6,1,7,1,13,3,8,1,6,1,13,4,8,1,13,1,9,1,13,7,6,1,8,1,13,4,7,1,8,1,17,1,13,1,8,2,13,6,7,1,6,1,13,4,7,1,13,1,6,1,13,4,6,1,13,1,6,1,7,1,13,1,6,2,13,3,8,1,6,1,13,1,6,1,13,2,6,2,13,5,8,1,13,1,7,1,13,5,7,1,6,1,13,5,7,1,13,1,6,1,13,1,7,1,13,14,9,1,13,22,6,1,8,1,13,5,8,1,9,1,13,2,7,1,13,1,6,2,13,4,6,1,13,2,7,1,13,10,6,1,13,13,8,1,13,12,8,1,9,2,13,1,9,1,13,1,9,1,8,2,13,9,9,1,13,8,9,1,8,1,9,2,13,2,6,1,13,2,6,1,13,1,7,1,13,2,7,2,13,1,9,1,13,2,6,1,30,1,13,1,7,2,13,2,6,1,7,1,13,4,6,1,13,3,7,1,13,5,6,1,13,4,6,1,13,4,6,1,7,1,13,1,6,1,13,3,6,1,13,1,6,1,13,1,6,1,13,1,8,1,13,5,6,1,13,3,8,1,13,2,6,1,13,3,6,1,13,2,30,1,11,1,8,1,30,1,13,1,6,4,30,3,6,1,30,1,29,1,6,1,30,2,6,1,28,1,13,1,6,1,30,2,28,1,6,3,29,1,6,1,28,1,30,1,28,2,30,1,28,6,30,1,28,53,30,1,28,1,6,1,28,4,6,1,13,1,9,1,17,4,11,1,17,3,12,2,9,1,17,3,30,1,28,1,12,1,10,2,12,1,9,1,17,1,9,1,24,1,6,1,28,1,30,1,28,2,6,2,24,1,17,1,28,3,30,1,28,5,29,1,28,1,29,1,28,1,30,1,28,1,29,1,30,1,24,2,10,1,17,1,12,1,11,1,17,1,11,1,28,4,30,1,28,8,30,1,28,1,30,1,28,2,6,1,28,1,30,10,6,1,29,1,30,2,6,1,30,1,28,1,30,4,13,1,6,6,7,1,6,1,30,2,6,1,7,1,6,2,29,1,6,2,29,1,24,1,8,1,6,2,29,2,25,3,24,1,8,1,24,4,12,1,9,1,12,1,10,1,12,2,17,1,10,1,12,2,24,2,17,1,10,2,24,2,12,2,24,1,12,1,24,3,8,1,10,2,12,1,10,1,24,1,17,1,10,1,12,1,8,1,12,2,8,2,12,1,17,2,24,1,12,3,24,1,17,1,24,1,10,1,12,5,9,1,17,1,12,1,17,1,12,1,17,1,28,2,30,2,28,1,30,1,6,1,30,2,28,1,30,1,28,10,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,5,30,1,28,6,30,4,6,1,30,1,28,1,6,1,30,2,6,2,28,1,30,1,28,4,30,3,29,1,6,3,7,1,30,4,6,1,30,2,6,1,28,1,17,1,9,1,13,1,8,1,7,1,8,1,7,1,25,1,7,1,29,1,24,1,25,1,6,2,26,1,25,1,27,1,25,1,29,1,25,2,27,1,25,2,26,1,29,1,6,2,7,1,28,1,29,1,30,1,8,1,29,1,6,1,7,2,6,3,29,1,30,1,25,1,27,1,30,1,26,1,29,2,25,1,6,1,25,1,6,1,7,1,6,1,24,1,8,3,25,1,8,2,24,1,25,1,24,1,10,1,24,2,8,1,24,1,12,1,24,1,12,1,8,1,10,1,24,1,10,1,24,1,10,1,13,1,8,1,24,3,8,1,7,1,8,1,25,1,8,1,25,2,29,1,6,1,26,1,25,1,8,2,25,1,8,1,26,1,25,1,27,1,24,1,25,1,8,1,25,1,8,1,26,1,8,4,24,1,12,1,24,2,10,1,24,1,12,1,24,1,6,1,28,9,30,2,28,1,29,1,30,1,28,1,30,1,27,1,28,1,26,1,29,2,6,2,26,1,8,1,25,1,6,1,8,1,6,1,25,1,13,2,7,1,25,1,8,2,6,1,24,1,8,2,24,3,12,1,9,1,11,1,12,1,17,1,11,1,12,1,17,2,11,1,17,1,10,1,17,10,12,1,17,1,12,1,17,2,11,1,12,1,9,1,10,1,11,3,9,1,10,2,9,1,8,1,13,1,9,1,8,1,13,1,12,3,13,1,10,2,24,1,9,2,28,1,13,1,10,1,9,2,11,1,9,1,8,1,11,1,9,1,16,1,10,1,9,2,17,1,9,1,13,1,9,1,11,2,9,1,16,1,11,1,10,1,9,2,8,1,16,1,10,1,9,1,17,1,11,1,16,1,13,1,16,1,11,1,8,1,11,5,16,1,9,2,11,1,8,1,11,1,9,1,11,1,16,1,17,1,16,2,17,6,11,1,9,3,11,1,13,1,9,1,8,1,13,1,11,1,9,4,13,2,11,1,9,2,8,1,11,1,9,1,13,1,9,1,8,1,13,1,6,1,8,2,6,3,13,2,9,2,8,1,13,1,8,1,9,1,8,1,9,1,7,1,17,2,11,1,17,1,10,1,17,1,11,1,17,6,11,1,17,1,12,4,17,2,12,1,9,1,12,2,17,1,12,1,24,1,12,1,24,1,12,1,9,1,17,1,13,1,10,1,24,2,12,2,24,1,12,1,10,1,24,2,8,1,9,3,8,1,11,1,12,1,13,1,9,2,8,1,10,1,8,1,9,4,24,1,8,1,17,1,8,1,9,2,13,1,10,2,24,1,8,1,10,1,13,1,9,1,12,1,13,1,12,1,8,1,12,1,24,1,9,1,17,1,10,1,8,1,12,1,24,2,9,1,24,1,12,1,13,1,12,2,9,1,17,1,11,1,12,2,17,1,11,2,17,3,11,1,12,2,9,1,7,1,8,1,9,1,8,1,12,1,16,1,12,1,16,1,13,1,9,1,11,1,16,1,9,4,8,1,9,1,8,1,9,1,8,1,9,3,6,1,28,1,30,1,28,1,30,1,28,7,30,1,12,1,17,1,16,1,17,1,12,1,17,1,24,1,8,1,24,1,6,1,8,1,6,1,29,1,30,1,6,1,7,1,6,1,13,2,6,1,13,1,9,2,15,2,12,1,11,1,12,1,8,1,28,7,6,1,24,2,8,2,29,1,30,1,28,32,29,1,9,1,16,1,10,1,9,2,7,1,13,1,10,1,8,1,13,2,30,3,28,2,6,1,13,1,8,1,12,2,8,1,13,1,28,4,30,1,6,1,9,1,8,1,29,1,6,1,30,1,13,2,8,2,13,1,8,1,9,1,10,1,9,1,10,1,9,1,13,1,29,1,30,1,6,1,8,1,11,1,16,1,24,1,6,1,28,2,13,1,9,1,12,1,30,1,28,48,13,1,9,1,24,1,28,5,30,1,28,1,}, {28,27,29,1,30,1,28,8,30,1,7,1,6,2,28,5,29,1,8,2,9,1,13,2,30,1,29,1,30,1,28,1,6,1,28,4,30,1,6,1,10,1,8,1,7,1,28,5,29,1,9,1,24,1,13,1,29,3,28,8,30,1,8,1,14,1,8,1,28,41,30,1,28,5,30,1,29,1,30,1,24,1,8,1,29,1,28,4,8,1,24,2,29,3,28,1,13,1,7,1,30,1,6,1,7,1,29,1,28,8,29,1,6,1,29,1,28,5,30,1,13,1,12,1,8,1,6,1,7,1,6,1,30,1,13,1,8,1,9,1,12,1,11,1,17,3,14,1,8,1,13,1,30,1,28,2,29,1,30,1,28,36,29,1,6,2,15,1,24,1,7,2,28,1,30,1,28,2,29,1,8,2,24,1,8,2,13,1,6,2,13,1,29,1,30,1,6,1,29,1,6,1,29,1,28,1,30,1,6,1,28,1,13,1,30,2,13,2,24,3,12,2,17,2,8,1,28,65,30,1,28,5,30,1,28,28,29,1,6,1,30,1,6,1,13,1,30,1,13,1,6,1,8,2,9,2,13,1,9,1,13,1,8,3,9,1,12,1,13,1,9,2,13,1,8,1,13,2,9,1,13,1,9,1,13,1,6,1,13,1,8,1,13,1,7,2,13,1,7,1,8,1,6,1,8,1,9,1,8,1,9,1,13,2,11,1,13,1,8,1,9,1,8,1,12,1,9,2,6,1,7,1,28,2,30,1,6,1,28,2,30,3,13,1,28,1,6,1,8,1,6,1,7,1,6,1,13,1,28,1,29,1,30,1,6,1,28,1,30,3,6,2,13,1,30,1,6,1,30,3,6,1,29,1,6,1,28,1,29,1,6,1,30,1,29,1,30,1,28,1,13,1,28,1,30,1,29,1,30,1,7,1,6,1,30,1,6,1,29,3,13,5,8,1,13,1,7,1,17,2,16,3,11,1,16,2,9,1,11,2,9,1,16,1,11,1,9,1,11,2,17,1,9,2,16,1,11,6,9,1,11,1,9,2,12,1,9,4,11,1,8,1,13,1,9,1,13,3,10,1,13,2,9,1,8,1,9,1,8,2,13,1,8,1,7,1,8,1,13,2,8,2,24,1,6,1,29,1,30,2,28,3,30,1,28,38,6,1,8,1,17,5,11,4,9,4,8,1,17,1,8,1,24,1,10,1,8,1,9,1,8,2,13,1,7,1,6,1,13,2,6,1,7,1,13,1,6,3,29,1,6,1,29,2,28,16,7,1,28,1,7,1,6,1,29,1,7,1,29,2,6,1,29,1,28,2,29,1,30,1,28,3,30,1,28,7,30,1,28,3,30,1,28,6,30,1,28,1,29,1,28,1,30,1,28,1,30,2,29,1,30,2,6,2,29,5,6,2,28,1,6,3,30,2,29,1,13,1,28,6,30,1,28,5,7,1,6,3,29,1,6,2,13,1,6,1,29,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,13,1,30,1,6,1,7,1,29,1,30,1,6,1,29,1,13,1,6,1,13,1,6,1,7,1,6,1,30,1,6,3,30,1,6,2,28,2,29,1,28,2,30,2,28,2,29,1,28,2,29,1,28,2,29,1,28,1,6,1,28,1,6,1,8,1,29,1,8,1,7,1,13,2,9,1,7,1,29,1,13,1,6,2,13,1,7,1,30,1,28,1,30,1,28,14,30,1,28,72,6,1,13,2,9,1,13,2,8,1,9,1,13,1,9,1,13,3,8,1,13,1,9,1,8,1,9,5,6,1,28,1,6,1,13,1,28,1,6,1,13,3,8,1,13,4,9,2,11,1,9,2,13,1,7,1,6,1,9,3,11,1,9,4,11,1,9,1,11,1,16,1,11,1,9,1,16,1,11,1,16,3,9,1,16,1,11,1,17,1,16,1,11,1,17,1,8,1,13,1,28,4,7,1,13,1,30,1,6,2,28,1,30,1,8,2,9,2,13,7,6,1,9,1,13,5,9,1,13,8,8,1,13,1,9,1,13,3,8,1,13,1,8,1,13,17,6,1,13,6,7,1,13,2,8,1,13,1,6,1,13,6,7,1,13,1,8,1,13,1,8,1,6,1,13,1,8,1,13,7,9,1,13,1,7,2,13,2,6,1,13,4,9,1,6,1,13,11,6,2,17,1,11,1,6,1,13,2,8,1,13,4,7,1,13,1,7,1,6,3,13,3,6,1,13,1,6,1,8,1,29,1,13,5,7,1,13,3,6,2,7,1,13,1,7,1,13,2,6,1,13,1,6,1,8,1,13,5,8,1,13,2,9,1,13,5,8,1,13,1,6,1,13,2,6,1,13,1,8,1,13,1,6,1,13,9,8,1,13,1,6,1,13,1,7,1,13,8,8,1,6,1,13,2,6,1,13,5,6,1,13,1,28,1,6,1,13,1,6,1,13,5,8,1,13,1,6,1,30,1,13,5,7,1,13,1,6,1,13,10,8,1,13,17,6,1,7,1,13,1,6,2,8,1,13,5,6,1,13,1,6,1,13,3,6,1,13,4,8,1,6,1,13,5,8,1,13,1,6,1,13,5,8,1,13,15,6,1,13,1,8,1,13,2,6,2,13,3,6,1,13,18,6,1,13,2,9,1,13,1,8,1,13,5,6,1,13,2,6,1,13,5,6,1,13,1,6,1,30,1,13,2,8,1,13,12,8,1,13,1,8,1,13,1,8,1,13,3,11,1,13,6,9,1,8,1,9,3,16,1,10,1,9,3,8,2,13,1,9,6,13,2,9,2,11,1,9,1,13,1,9,1,13,1,6,1,13,3,9,1,13,1,9,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,2,30,1,6,3,8,1,13,1,30,1,6,1,13,1,6,2,13,1,28,1,30,3,6,2,30,1,28,1,30,1,28,3,30,2,28,7,30,1,28,5,30,2,28,1,30,1,6,1,28,3,8,1,11,1,17,1,11,1,12,1,24,1,8,1,12,1,10,1,12,1,17,1,12,1,10,1,17,1,11,1,12,1,17,1,8,1,28,1,30,1,12,1,17,1,24,1,9,1,24,1,6,1,29,1,28,1,30,1,28,1,29,1,6,1,30,1,7,1,17,2,8,1,29,2,28,7,30,1,28,3,30,1,28,1,30,1,7,1,10,1,11,1,12,1,17,1,12,1,17,2,9,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,7,30,1,28,1,30,2,28,1,30,1,28,1,30,1,28,3,30,2,28,3,30,1,28,2,30,5,6,1,29,1,13,2,6,1,13,1,29,1,6,1,30,1,6,2,7,1,28,1,30,1,6,2,13,1,7,1,13,1,29,1,6,1,8,1,6,1,7,1,25,1,12,1,10,1,8,1,10,1,9,1,24,3,10,1,12,1,10,2,12,1,17,2,24,1,12,1,10,1,12,1,10,1,17,1,24,1,12,1,17,1,12,1,24,1,10,1,24,1,12,1,8,1,12,5,8,1,10,1,24,1,17,1,24,1,12,3,17,2,12,2,24,2,17,1,10,1,17,1,12,2,17,1,12,1,17,2,12,1,10,1,12,3,10,1,11,1,12,1,28,1,30,3,28,1,30,5,28,6,30,1,28,1,30,5,28,1,30,1,28,4,30,2,28,12,30,2,28,1,30,2,6,2,28,1,30,2,28,2,30,1,28,1,30,1,28,1,6,6,30,2,6,2,30,2,6,1,30,1,28,1,6,1,13,1,17,1,24,1,13,1,7,1,8,1,13,1,29,1,7,1,25,1,8,1,7,1,6,1,29,1,25,2,29,1,30,1,25,2,27,1,29,1,25,1,6,1,30,2,29,1,6,1,29,1,7,1,25,1,6,1,28,1,6,2,8,1,25,1,29,1,25,1,29,1,25,1,28,1,26,1,27,1,25,1,30,1,27,1,25,1,27,1,25,2,30,1,8,1,26,1,25,1,6,1,10,1,8,1,26,1,24,2,25,1,8,1,24,3,8,1,24,2,10,1,8,1,24,1,12,1,24,1,10,1,24,1,12,1,24,1,8,1,24,1,8,2,25,1,24,1,25,1,24,1,25,1,8,2,25,2,24,1,26,1,25,1,26,1,8,1,27,1,8,1,25,1,27,1,24,1,25,1,8,1,26,1,25,2,26,1,25,1,24,1,8,2,24,1,25,1,12,2,8,1,12,2,10,1,8,1,28,6,29,1,28,1,29,1,28,3,30,1,28,1,30,1,29,1,28,1,29,1,30,1,29,2,28,1,25,1,29,3,25,2,8,2,25,2,7,3,8,1,24,1,7,1,6,1,24,1,8,1,24,2,8,1,17,1,24,1,17,2,12,1,9,1,12,1,17,4,12,1,17,4,11,1,17,4,12,1,17,3,12,2,11,1,12,1,9,1,10,1,12,3,10,1,11,1,9,2,13,1,6,1,30,1,28,1,30,1,13,1,6,1,9,2,13,1,8,1,9,1,8,1,6,1,29,1,13,1,8,1,12,1,9,4,12,1,9,1,17,1,9,2,10,1,11,1,8,1,17,1,9,1,8,1,9,5,8,1,11,1,9,1,11,1,8,1,11,3,17,1,16,1,9,1,11,2,16,1,10,2,11,1,13,1,11,1,9,1,11,1,13,1,9,1,11,1,9,1,10,1,16,1,8,1,17,2,11,2,17,4,11,1,9,3,13,1,11,1,9,4,11,1,13,1,9,2,13,1,11,2,13,1,9,1,13,2,9,1,8,1,9,3,11,1,13,1,8,1,13,1,8,1,13,1,8,1,9,2,8,1,11,1,16,1,11,1,9,1,11,1,12,1,17,3,11,1,17,10,11,1,17,1,12,3,17,1,9,2,17,1,9,1,8,1,12,2,8,1,12,1,24,1,10,1,8,1,13,1,10,1,12,1,17,1,8,2,24,1,12,1,24,1,7,1,24,1,10,1,8,1,24,1,12,1,24,1,12,1,24,1,10,1,12,1,9,2,13,1,10,1,8,2,12,1,8,1,10,2,12,1,10,2,13,1,12,1,11,1,8,1,13,1,24,2,12,1,11,1,9,1,8,2,9,1,12,2,10,3,12,1,8,1,17,1,8,1,10,1,8,1,11,2,9,1,11,1,12,1,11,1,12,1,10,1,12,1,17,1,11,1,17,1,11,1,9,1,17,8,10,1,8,1,17,1,11,2,9,4,17,1,9,2,11,1,13,2,9,5,11,2,13,1,28,3,30,3,28,6,30,1,15,1,14,1,17,4,12,1,9,1,8,1,13,1,6,2,30,1,29,1,28,1,6,2,8,3,7,1,8,1,24,1,12,1,14,1,10,1,12,2,13,1,28,7,6,1,13,1,8,2,9,1,29,1,28,33,29,1,12,2,9,2,13,2,8,1,12,1,15,1,24,2,28,2,30,1,6,2,29,1,13,1,9,1,12,1,17,1,24,1,13,1,28,4,30,1,13,1,8,1,6,1,28,1,6,2,7,1,8,1,9,1,24,1,15,1,9,2,8,1,17,1,11,1,9,1,6,1,29,1,30,1,28,1,13,1,9,1,17,1,7,1,28,3,29,1,24,1,8,1,28,39,30,1,28,9,24,1,8,1,13,1,6,1,28,6,}, {28,25,30,1,28,1,30,1,28,8,30,1,6,1,30,1,6,1,30,1,28,4,30,1,6,2,8,1,24,1,9,1,8,1,28,1,30,1,6,1,29,1,28,5,6,1,30,1,17,1,8,1,28,6,6,1,13,1,24,1,13,2,6,1,28,9,30,1,13,1,15,1,13,1,28,44,30,1,28,1,30,1,28,1,6,1,28,1,8,1,9,1,7,1,28,4,29,1,24,1,9,1,6,1,30,2,6,3,30,1,8,1,6,1,30,1,28,8,30,3,28,6,13,1,9,1,8,1,6,2,13,3,24,1,12,1,9,1,17,4,9,1,24,1,6,5,29,1,28,35,29,1,30,2,6,1,15,1,24,2,6,1,28,4,13,1,15,1,9,2,24,1,8,2,13,2,8,1,6,2,29,1,6,1,28,1,6,2,29,1,6,2,7,2,8,1,7,1,8,1,6,1,13,1,24,1,12,1,9,1,17,1,14,1,8,1,28,77,30,1,28,23,6,1,29,1,6,3,9,1,6,1,8,1,9,1,13,2,8,1,9,1,13,1,6,1,8,1,13,2,9,1,13,2,7,1,10,1,13,2,8,1,13,2,7,2,6,1,13,2,6,2,13,1,6,3,13,1,6,1,8,1,13,3,8,1,6,1,13,1,9,3,11,2,9,1,16,1,8,1,30,1,6,1,30,1,28,1,6,1,29,1,13,1,7,1,6,1,29,1,30,1,6,1,13,1,6,1,29,1,6,1,29,1,28,1,6,1,13,1,28,1,29,1,30,1,29,1,30,2,13,1,7,1,6,1,30,1,29,1,7,1,6,1,30,1,6,1,30,3,28,1,30,1,6,1,29,1,6,1,30,2,6,2,30,1,6,2,28,1,6,1,13,3,29,1,6,1,28,1,6,1,8,1,16,3,17,1,16,1,11,2,16,1,11,2,9,2,11,1,9,1,16,1,11,1,9,1,16,1,9,1,11,1,9,1,11,2,9,1,10,1,9,1,10,1,9,1,11,2,10,1,8,1,11,1,8,1,11,1,9,1,11,1,8,1,9,1,13,1,9,9,8,2,13,4,8,1,7,1,13,1,6,1,7,1,9,1,13,1,6,1,13,1,28,1,6,1,28,3,30,1,28,39,24,1,10,1,17,5,11,1,16,1,9,4,11,1,9,1,8,2,13,1,8,1,13,2,6,1,13,2,9,1,6,2,13,1,6,2,29,1,13,1,6,1,7,1,6,1,7,1,28,1,29,4,28,1,30,1,28,13,7,1,6,1,30,1,13,1,7,2,28,1,6,1,30,1,28,1,29,1,28,13,30,1,28,1,29,1,28,8,30,2,28,2,29,1,28,1,6,1,30,2,29,2,30,1,29,1,6,2,30,2,6,1,28,2,7,1,30,1,6,1,13,1,29,1,13,1,6,1,28,2,29,1,28,1,29,1,28,1,30,1,28,1,29,1,28,4,6,1,30,1,29,1,13,1,7,1,13,2,6,1,13,3,6,2,7,2,8,1,6,1,13,1,29,1,6,2,30,1,6,1,30,1,28,1,6,3,28,1,29,1,6,1,28,1,29,1,6,1,30,2,6,2,30,1,29,1,28,2,30,2,28,3,29,1,30,1,28,8,30,1,28,1,24,1,29,1,8,1,13,2,7,1,8,3,9,1,17,1,11,1,10,2,17,1,13,1,28,2,29,1,6,1,29,1,6,1,30,4,28,4,30,1,28,72,6,1,13,1,8,1,9,1,13,2,30,1,7,1,9,1,11,1,9,1,13,1,9,1,13,1,8,1,6,1,8,2,13,1,16,1,9,1,8,1,17,1,13,2,6,1,13,1,30,1,13,1,8,1,13,4,8,2,9,4,13,1,9,1,13,3,16,1,9,1,11,1,9,1,16,1,9,7,10,1,16,1,11,1,16,2,9,1,16,1,11,1,16,3,11,2,9,1,6,1,28,4,30,1,13,2,28,1,6,1,13,2,8,2,11,1,9,1,13,5,6,1,13,6,9,1,13,3,9,2,13,1,9,1,7,1,13,1,6,1,13,2,7,1,13,10,7,1,13,13,9,1,13,1,7,1,13,4,6,1,13,5,6,1,13,1,7,1,13,1,8,1,6,1,13,1,8,1,13,1,7,1,13,1,8,1,13,5,30,1,13,3,6,1,7,1,13,5,9,1,13,5,6,1,13,7,8,1,13,3,8,1,17,1,13,2,7,1,6,1,13,1,6,1,13,4,6,1,13,4,6,1,13,1,7,1,13,4,29,1,13,1,6,1,13,5,30,1,7,1,13,2,6,3,13,2,6,1,13,8,8,1,7,1,13,12,8,1,13,3,8,1,7,1,13,1,9,1,7,1,13,2,6,1,13,10,9,1,13,4,6,2,13,10,7,1,13,2,6,1,8,1,6,1,13,1,6,2,13,1,7,1,13,9,7,1,8,1,13,1,6,1,13,2,6,1,13,1,9,1,13,13,7,2,6,1,13,1,9,1,13,1,8,1,13,1,8,1,13,3,6,1,13,1,8,1,7,1,13,5,30,1,13,4,7,1,13,1,30,1,6,1,13,1,7,1,13,6,9,1,13,9,6,4,13,7,6,1,13,5,6,1,13,3,6,1,13,1,7,1,13,8,6,1,13,2,6,1,13,2,6,1,13,7,8,1,13,4,6,1,13,4,6,1,13,1,9,1,13,13,9,1,13,4,8,1,13,2,8,1,6,1,13,2,6,1,13,1,6,2,13,1,30,1,8,1,13,3,9,1,13,2,8,1,13,1,9,1,13,2,8,1,13,1,9,1,13,1,9,2,13,1,9,1,13,1,9,3,8,2,11,1,13,1,8,1,9,1,13,1,9,1,8,1,13,2,8,1,16,1,13,2,8,1,13,4,8,2,9,3,13,1,9,1,8,1,13,2,8,1,9,2,13,1,8,1,13,2,9,2,8,1,9,1,13,1,9,2,13,1,9,1,8,1,13,2,6,1,13,7,9,1,13,1,6,1,13,1,6,1,30,3,6,3,30,1,13,1,30,1,28,2,12,1,8,2,7,1,13,1,24,1,10,1,8,1,24,1,8,2,24,3,10,1,12,3,30,1,28,1,30,1,6,1,29,1,30,1,28,5,30,1,13,1,30,1,6,1,12,1,17,2,11,1,28,1,6,1,28,9,30,1,28,3,13,1,8,1,11,2,17,1,11,1,17,1,12,1,17,2,13,1,28,8,30,1,28,2,30,2,28,17,30,1,28,4,30,1,28,2,30,1,28,2,6,1,30,2,6,2,7,2,13,1,6,1,30,1,7,1,6,2,13,1,30,2,6,1,13,1,7,1,28,1,30,1,28,1,30,1,6,1,24,3,12,1,24,1,10,2,9,1,12,1,10,1,12,2,17,1,12,1,17,1,12,2,24,1,10,2,9,1,24,1,12,1,17,1,12,2,8,1,12,1,17,1,24,1,10,1,24,3,12,2,8,1,12,1,24,2,10,1,24,2,10,1,24,1,10,1,24,2,12,1,24,1,12,2,24,1,12,1,17,1,10,1,17,1,10,1,17,3,12,4,9,1,11,1,9,1,6,1,28,1,6,1,30,8,28,1,30,1,28,3,30,3,28,2,30,2,28,1,30,3,28,1,30,3,28,4,30,1,28,9,30,3,28,1,30,1,29,1,30,1,28,1,30,3,28,2,29,1,6,1,13,1,6,1,28,1,6,3,28,1,30,1,28,1,30,1,6,1,30,1,6,1,29,1,6,1,10,1,11,1,13,1,8,2,7,2,25,1,26,1,29,1,27,1,25,1,7,1,30,1,25,3,24,1,28,1,26,1,29,1,25,2,6,1,28,1,6,1,30,1,29,2,13,1,7,1,6,4,29,2,6,1,8,1,6,1,26,1,25,3,26,1,29,1,26,1,25,1,30,1,27,1,29,1,6,1,27,1,28,1,25,1,24,1,10,1,24,1,26,1,8,4,24,2,12,1,24,1,10,1,8,3,12,1,17,1,24,1,12,1,8,1,24,5,7,1,24,1,12,1,6,1,25,1,8,1,25,1,24,1,25,1,26,1,27,1,25,1,6,1,25,1,8,1,25,1,24,1,25,2,24,1,25,1,24,2,8,3,26,1,7,1,25,2,24,2,10,1,24,1,12,1,24,2,8,1,30,1,28,7,30,1,29,1,28,1,30,1,28,2,30,1,28,1,29,1,30,1,29,1,28,1,7,1,30,2,6,2,8,1,29,1,6,1,29,1,25,1,7,1,6,1,25,2,8,1,26,1,6,1,24,1,8,1,24,1,8,1,13,1,24,1,7,1,24,1,8,1,12,1,9,1,17,1,12,1,10,1,17,1,9,1,17,1,12,1,17,9,12,1,17,1,12,1,17,2,11,1,12,1,17,3,11,1,10,3,9,5,8,1,28,3,30,1,28,7,30,1,6,2,9,1,8,1,17,1,11,1,9,1,11,1,9,2,10,1,9,2,10,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,2,8,1,11,2,13,2,11,3,9,1,8,1,16,1,9,1,8,1,9,4,11,1,8,1,16,1,9,3,11,1,9,1,11,2,9,1,17,2,16,1,11,1,16,2,11,1,17,1,11,2,9,1,13,1,10,1,9,1,11,1,8,1,13,2,11,1,8,1,13,2,8,1,11,1,9,1,13,1,8,1,13,1,9,1,8,1,11,1,13,1,8,1,9,1,8,1,13,3,9,2,13,1,9,2,16,1,11,1,17,3,12,1,17,2,11,1,17,2,11,1,17,3,11,1,17,4,12,1,17,2,11,1,17,2,11,1,9,2,12,1,9,1,12,1,8,1,24,1,10,2,17,1,24,1,17,1,8,1,10,1,24,1,12,1,8,1,12,1,24,1,10,1,8,1,12,1,13,1,8,1,24,1,13,1,9,5,12,2,9,2,24,1,9,1,10,1,9,2,10,1,13,1,10,1,9,1,8,1,9,2,12,1,9,1,13,1,9,2,24,1,9,1,24,1,8,1,24,1,13,1,24,1,11,1,13,2,8,2,12,1,17,1,8,1,9,1,24,1,10,1,8,1,9,1,6,1,11,2,17,1,11,1,9,1,17,6,12,1,17,7,9,1,17,1,11,1,17,1,9,1,11,2,9,1,11,1,9,1,11,1,8,1,9,4,11,2,13,1,9,2,10,1,9,1,8,1,28,3,30,1,28,1,6,1,28,6,30,1,10,1,11,1,17,1,16,1,9,1,8,1,9,1,8,2,13,1,8,1,6,1,7,1,29,1,30,1,29,1,13,2,8,1,7,1,8,1,24,1,9,1,15,1,14,1,17,1,15,1,10,1,13,1,28,7,30,1,9,1,10,1,8,1,13,1,28,33,29,1,6,1,10,1,17,1,16,1,9,1,13,3,9,1,8,1,24,1,13,1,28,1,30,1,28,1,30,1,29,1,7,1,13,1,10,1,17,1,9,2,13,1,28,4,30,1,9,1,8,2,28,3,29,1,13,1,8,1,9,1,12,1,9,1,11,1,24,1,9,2,16,1,13,1,6,1,28,2,8,1,24,1,16,1,6,2,28,2,6,1,13,2,30,1,28,28,30,1,28,10,30,1,28,8,8,1,12,1,13,1,6,1,28,6,}, {28,26,30,1,28,1,30,1,28,8,6,2,30,1,28,8,6,1,8,1,11,1,6,1,30,2,28,1,30,1,28,6,13,1,12,1,24,1,30,1,28,5,6,2,13,1,8,2,7,1,28,2,29,1,28,6,30,1,13,1,15,1,24,1,28,48,30,1,28,1,15,1,8,1,6,1,28,2,30,1,28,1,30,1,8,1,24,1,6,1,29,2,7,1,29,1,6,1,13,1,7,1,13,1,28,9,29,1,7,1,29,1,28,6,13,1,8,2,13,2,6,1,7,1,6,1,8,1,24,1,9,1,12,1,17,3,15,1,8,2,6,1,30,1,6,2,28,38,29,1,6,1,15,1,8,1,13,1,8,1,28,4,8,1,14,1,24,3,8,1,13,1,8,2,13,1,29,1,6,1,30,1,6,1,7,1,30,1,7,2,29,1,6,1,13,1,6,1,8,1,9,1,13,1,24,3,12,1,9,2,14,1,13,1,28,98,30,1,28,1,29,1,6,1,29,1,8,3,9,1,8,1,13,1,6,1,7,1,6,1,13,1,7,1,6,1,13,3,29,1,8,1,13,1,6,1,30,1,29,1,6,1,7,1,30,1,6,2,13,1,29,1,9,1,28,1,6,1,29,1,28,1,13,1,29,1,13,1,6,1,7,1,6,1,29,1,13,1,30,1,6,2,13,2,9,1,13,1,9,2,10,1,11,1,9,1,11,1,8,1,7,1,28,3,6,1,30,2,28,1,6,1,29,1,6,1,13,1,8,1,6,1,7,1,6,1,28,2,30,1,28,3,30,1,7,1,28,1,6,1,7,1,6,1,30,1,6,1,30,1,6,1,30,2,29,1,6,2,30,2,6,1,28,1,6,2,30,1,29,1,6,1,30,1,6,1,7,2,13,1,6,1,28,1,6,1,13,3,17,1,16,1,17,1,16,5,11,1,16,3,9,1,11,1,9,2,11,4,9,2,11,1,10,2,9,1,11,2,9,1,11,1,9,2,11,1,10,1,9,2,11,2,9,1,8,1,9,2,10,1,6,1,9,4,8,1,9,2,13,1,7,1,8,2,13,6,7,1,6,1,29,1,30,1,6,1,30,1,29,1,28,43,13,1,12,1,17,2,16,1,17,1,10,1,11,5,9,4,10,1,24,1,8,2,9,1,13,2,8,1,13,2,6,2,7,1,6,1,13,1,30,1,7,1,30,1,7,1,29,1,13,1,29,1,6,1,29,2,28,1,30,2,28,11,30,1,29,1,28,1,7,2,6,2,30,3,28,1,30,1,28,11,30,1,28,10,29,1,28,4,6,2,28,1,30,1,29,1,7,1,29,1,7,1,30,2,6,1,29,1,6,2,29,1,6,1,13,1,29,1,6,1,13,1,30,1,7,1,28,1,13,1,6,1,30,1,29,1,30,3,28,1,30,1,29,1,28,3,30,2,6,1,29,1,8,1,6,1,8,2,7,1,13,2,28,1,13,1,7,1,13,1,6,2,7,1,6,6,28,2,30,1,6,1,28,1,29,1,6,1,28,1,30,1,28,5,30,1,28,1,6,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,2,6,1,30,1,28,7,8,1,29,1,6,1,13,2,7,1,13,2,9,1,13,1,9,1,8,1,9,1,12,1,9,1,12,1,11,1,9,1,8,1,13,5,29,1,7,1,28,4,30,1,28,1,30,1,28,68,6,1,13,2,9,1,11,1,9,1,13,1,6,1,13,2,11,1,9,1,6,1,13,2,6,1,13,1,7,2,9,3,8,2,17,1,13,1,8,1,29,1,7,1,6,2,13,1,6,1,9,1,13,1,6,1,8,1,9,2,13,2,9,1,13,1,8,1,6,1,13,1,9,1,11,1,13,1,11,4,9,2,16,1,9,2,16,2,11,1,16,9,11,1,17,1,29,1,28,4,6,1,13,3,6,1,13,3,9,2,16,1,13,7,6,1,13,1,6,1,8,1,13,2,8,1,13,1,7,1,13,1,7,1,6,1,13,7,6,1,8,1,13,4,7,1,13,4,7,1,13,2,8,1,13,8,6,1,13,6,9,1,13,3,8,1,13,4,8,1,13,2,9,1,13,4,8,1,13,2,8,1,6,1,13,4,6,1,13,5,6,1,13,1,7,1,13,1,9,1,13,6,8,1,13,8,30,1,13,1,8,1,11,1,13,9,6,3,7,1,6,1,13,3,6,1,13,1,7,1,6,1,13,5,7,1,29,1,13,2,6,3,13,2,7,1,13,4,7,1,13,5,8,1,13,4,7,2,13,3,8,1,13,1,6,1,9,1,13,2,8,1,13,4,8,1,6,1,13,3,6,1,13,8,8,1,13,1,6,1,13,1,30,1,13,1,6,1,13,2,6,1,13,3,6,2,13,3,7,1,6,1,13,3,6,2,13,3,7,1,9,1,13,1,7,1,13,1,6,1,13,2,6,1,13,1,6,2,13,4,30,1,13,2,6,1,8,1,6,1,13,4,7,1,13,1,8,1,13,6,7,1,13,2,7,1,9,1,13,1,9,1,13,2,6,1,13,1,9,1,13,4,9,1,13,7,6,1,13,3,6,1,13,6,6,1,13,11,8,3,13,1,6,2,13,2,6,1,13,6,6,1,13,4,6,1,13,1,7,1,6,1,13,1,7,1,13,7,6,1,13,1,6,1,13,1,7,1,13,5,7,1,13,6,6,3,30,1,13,4,7,1,30,1,6,1,13,3,6,1,13,1,9,2,6,1,13,1,7,1,6,1,13,12,7,1,13,6,6,1,13,1,6,1,13,5,6,1,13,6,7,1,13,2,8,1,13,2,8,1,13,1,9,1,8,1,13,2,9,1,13,1,9,1,13,3,7,1,13,4,8,1,13,1,8,1,13,2,6,1,13,2,6,1,8,1,6,2,13,2,7,1,13,1,8,1,13,7,30,1,13,8,6,1,13,2,6,1,7,1,13,3,6,2,13,1,8,1,9,1,13,6,6,1,13,2,9,1,13,2,9,1,6,1,30,1,29,1,6,1,8,2,7,1,6,1,13,1,6,1,29,1,6,1,7,1,24,1,8,1,9,1,24,1,9,1,28,9,30,1,6,1,9,2,11,1,17,5,10,1,13,1,28,2,30,1,28,8,29,1,13,1,24,1,10,1,12,2,17,1,12,1,17,1,10,1,17,3,28,36,30,1,28,3,30,5,7,1,6,1,30,1,6,4,30,1,6,1,13,1,6,1,28,1,10,1,6,1,28,1,30,1,28,1,6,1,7,1,17,1,10,1,9,1,10,1,12,2,17,1,12,1,17,1,12,1,10,1,17,1,12,2,17,1,12,1,17,5,12,1,24,1,17,1,12,2,17,1,12,2,17,2,13,1,10,1,12,1,24,1,17,1,24,1,10,1,12,1,24,1,12,1,24,2,12,4,13,1,24,1,12,4,10,2,12,1,24,1,12,3,10,1,24,1,12,2,10,1,9,1,10,1,9,1,30,2,6,1,30,3,28,1,30,3,28,1,30,1,28,2,30,3,28,1,30,4,6,2,30,6,28,4,30,1,28,9,30,2,6,1,30,4,28,1,30,1,28,1,30,1,6,1,30,2,13,3,30,1,6,1,29,1,30,1,6,1,30,1,6,1,30,1,6,3,30,1,28,1,13,1,11,1,24,1,13,1,10,1,8,3,7,1,25,2,26,1,25,1,8,1,25,1,26,1,6,1,25,1,29,1,28,1,25,1,27,1,6,1,29,2,28,1,25,1,29,1,6,5,28,1,25,1,6,1,25,1,29,1,6,1,30,1,6,1,30,1,25,1,8,1,29,1,26,1,25,1,27,1,25,3,8,2,27,1,8,2,24,1,25,1,8,1,24,2,25,1,26,1,25,1,8,2,12,1,8,1,24,2,12,1,8,1,24,1,10,2,24,3,10,1,24,2,12,1,8,1,25,1,24,1,25,4,6,1,8,1,25,1,8,1,26,1,25,4,24,1,25,1,8,1,25,3,24,1,8,2,24,3,10,1,24,5,10,2,6,1,28,1,30,2,28,2,30,2,28,6,30,2,28,1,30,1,29,1,30,1,7,1,28,1,29,3,25,1,30,1,6,1,25,3,29,1,25,1,27,1,25,1,24,1,6,1,25,1,7,1,26,1,24,1,8,3,24,1,9,1,24,2,9,1,12,2,17,2,9,1,17,1,12,1,17,7,11,1,17,3,12,1,17,3,12,1,17,1,11,1,12,1,11,1,12,1,11,1,10,1,11,1,10,1,11,1,9,3,13,1,7,1,29,1,28,2,30,1,28,2,30,2,29,1,7,1,8,1,9,1,10,1,17,3,11,1,8,2,16,1,9,5,16,1,11,1,16,1,9,2,17,1,16,1,9,5,13,1,9,1,16,1,9,1,11,1,9,2,10,1,8,1,9,2,13,1,8,1,9,2,16,1,9,1,16,1,17,1,8,1,9,1,16,1,9,1,11,1,16,3,9,1,17,1,11,1,17,1,10,1,17,2,11,2,16,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,2,13,1,8,1,9,1,6,1,30,1,13,1,8,2,13,1,9,2,12,1,11,2,17,6,11,1,17,6,11,1,17,2,12,2,17,1,12,2,11,1,17,1,11,1,17,2,12,2,9,1,24,1,10,1,11,1,17,1,12,2,24,1,9,2,17,1,12,1,24,1,17,1,8,2,17,1,9,1,8,1,24,1,12,1,24,1,8,1,17,1,24,1,9,1,24,2,7,1,10,1,9,1,12,1,8,1,9,1,11,1,12,1,8,1,9,1,10,1,13,1,10,1,6,1,12,1,13,2,24,1,13,1,11,1,9,2,13,1,9,1,11,1,9,1,8,1,10,1,9,1,12,1,8,1,10,1,24,1,9,1,24,1,12,1,24,2,10,1,13,1,8,2,10,1,8,1,24,1,8,1,12,1,10,1,12,2,11,1,24,1,17,2,12,1,17,16,12,1,17,4,12,1,16,1,11,1,16,1,9,1,11,2,10,1,9,3,8,1,10,1,8,1,13,1,28,2,6,1,30,1,28,4,30,1,28,3,13,1,9,1,16,1,17,3,12,2,9,1,8,1,29,1,7,1,6,1,30,1,6,1,30,1,6,2,7,1,13,1,24,1,8,1,24,1,10,1,15,1,14,1,12,1,17,1,12,1,7,1,28,7,6,1,13,1,8,2,6,1,30,1,28,34,13,1,11,1,9,2,29,1,8,1,13,1,9,1,8,1,24,1,6,2,28,1,30,1,29,1,6,2,13,1,15,1,9,1,12,1,13,1,7,1,28,5,13,1,8,1,7,1,28,2,30,1,29,1,30,1,8,1,24,1,9,1,10,1,24,1,8,1,9,2,13,1,29,1,6,1,30,1,13,2,9,2,30,1,28,3,6,1,9,1,13,1,29,1,28,39,30,1,28,8,9,1,8,1,10,1,29,1,30,1,28,5,}, {28,36,29,1,6,1,30,1,28,5,30,2,28,2,29,1,13,1,9,1,8,1,7,2,29,1,28,6,30,1,7,1,24,1,9,1,6,1,28,5,30,1,24,1,13,1,6,1,24,1,28,1,6,1,28,8,29,1,7,1,15,1,9,1,28,46,30,1,28,1,29,2,8,3,28,4,7,1,6,1,8,1,7,1,6,1,30,2,6,3,13,1,30,1,28,9,6,1,7,1,6,1,30,1,28,5,8,1,24,1,8,2,13,1,29,1,13,1,7,1,8,1,10,1,17,1,9,1,12,1,9,1,16,1,14,1,8,1,6,1,29,1,6,1,30,1,13,1,28,35,30,1,28,2,30,1,28,1,12,1,15,1,9,1,7,1,28,4,8,1,12,1,14,1,15,1,13,1,24,1,7,1,8,1,30,1,24,1,29,2,6,1,7,1,13,1,30,1,6,2,7,1,13,1,24,1,8,1,9,1,24,1,9,2,15,2,9,1,10,1,15,2,13,1,28,83,30,1,28,10,30,2,28,3,30,1,28,1,6,1,29,1,8,2,7,1,13,1,8,1,13,1,6,1,7,1,6,2,30,1,13,1,6,1,29,1,7,1,6,2,28,2,30,1,6,1,30,1,28,1,13,1,6,1,28,1,6,1,28,1,30,1,28,1,7,1,6,1,13,1,28,1,30,1,7,1,6,1,28,1,6,1,7,1,8,1,30,1,13,1,28,1,6,3,29,1,9,1,13,1,11,1,9,2,10,1,8,2,13,1,6,1,29,1,6,1,30,1,6,1,29,1,28,1,7,1,13,1,6,1,13,1,7,1,13,1,6,1,28,1,30,1,6,2,30,1,28,1,6,2,30,1,13,1,7,1,30,1,6,1,7,1,6,2,28,1,6,1,30,1,29,1,30,1,6,1,29,1,30,1,7,1,29,1,30,1,6,2,7,1,9,1,6,2,13,1,28,1,13,2,9,1,11,1,17,4,16,2,11,1,16,1,11,1,16,2,9,1,16,1,11,1,16,1,11,1,9,1,11,3,10,1,11,2,9,1,11,2,9,3,11,1,9,8,10,1,9,1,10,1,13,2,8,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,4,13,1,6,1,8,1,13,1,7,1,13,1,6,1,7,1,6,2,13,1,7,1,28,1,30,1,28,1,30,1,28,42,24,1,12,1,9,1,17,3,11,1,17,1,11,5,8,1,17,1,10,1,24,2,8,3,6,1,13,1,8,4,13,2,29,1,13,1,7,1,29,1,8,1,7,1,29,2,6,1,30,1,29,2,28,1,6,1,30,1,28,5,29,1,28,5,30,1,28,2,6,1,13,1,30,1,28,1,6,1,30,2,6,1,30,3,28,14,30,1,28,4,30,2,28,6,30,1,29,1,30,2,29,1,28,1,13,1,6,2,30,2,29,2,30,2,29,1,28,2,29,1,30,2,13,1,29,1,28,1,6,2,29,1,28,2,30,3,28,3,30,1,6,1,7,1,6,1,13,1,6,1,8,1,6,1,7,1,29,1,8,1,7,1,13,1,6,1,8,1,6,4,30,1,29,1,6,1,28,1,29,1,30,2,6,1,28,1,29,1,28,1,29,1,28,1,29,1,28,1,30,2,28,5,30,1,29,1,28,4,30,2,28,4,30,1,28,4,6,2,7,2,6,1,29,1,6,1,29,1,7,1,6,1,9,1,8,1,9,1,12,2,9,2,8,1,9,1,11,1,9,2,16,1,9,1,8,3,13,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,29,1,28,1,30,1,6,1,28,31,30,1,28,4,30,2,28,3,30,1,28,4,30,1,28,1,30,1,28,11,6,1,13,1,8,1,11,1,17,1,16,1,13,5,16,1,13,2,9,1,13,2,6,1,30,1,8,1,13,1,10,1,8,1,10,1,9,2,11,1,8,1,13,1,30,1,13,2,8,1,13,2,6,3,30,1,10,1,8,1,9,1,7,1,13,1,6,1,13,2,8,1,9,3,11,1,9,1,16,1,9,1,11,2,9,1,11,1,9,1,16,5,11,1,16,3,11,1,16,2,17,1,7,1,28,4,29,1,13,2,6,2,13,1,30,1,11,1,8,1,10,1,8,1,9,1,13,2,8,1,13,2,6,1,13,5,6,1,13,10,6,1,13,1,6,1,13,2,7,1,6,1,13,3,6,1,13,2,6,1,13,4,7,1,13,2,6,2,13,1,30,1,13,4,6,2,13,1,6,1,13,2,6,1,8,1,13,12,7,1,13,1,9,1,13,1,8,1,6,1,13,5,6,1,13,1,9,1,7,1,13,3,8,1,13,1,8,1,9,1,13,3,8,1,13,1,8,1,13,3,29,1,13,2,6,1,13,1,7,1,6,1,13,2,10,1,30,1,13,4,6,1,7,1,13,2,6,1,13,1,6,1,13,2,6,3,13,3,7,1,13,1,6,1,13,4,8,1,6,1,13,5,6,2,13,1,6,1,13,2,7,1,6,1,13,1,8,1,13,2,8,1,13,10,7,1,13,5,6,1,13,2,30,1,13,4,8,1,6,1,13,1,6,2,13,1,9,1,6,1,13,3,7,1,13,4,6,1,13,1,7,1,13,1,7,1,6,2,13,3,29,1,13,3,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,7,1,13,1,7,1,6,2,13,7,6,1,13,3,6,1,13,2,6,1,13,8,6,1,13,2,6,1,13,4,8,1,13,3,30,1,13,1,8,1,7,1,13,1,6,1,13,3,6,1,7,1,13,2,8,1,7,1,13,1,7,1,13,2,6,1,13,2,6,1,13,4,8,1,13,5,6,2,13,3,6,1,13,6,6,6,7,1,6,5,13,2,6,1,13,5,7,1,13,5,6,1,13,1,6,2,13,1,6,1,29,1,6,2,13,6,6,2,13,1,6,2,13,3,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,2,6,2,13,1,6,2,13,1,6,1,13,13,6,1,13,13,7,2,13,6,7,1,13,2,6,1,13,2,11,1,13,3,8,1,13,3,9,1,13,6,9,1,6,1,13,5,6,1,13,1,8,1,13,6,8,1,13,1,9,1,13,9,9,1,6,2,13,3,6,1,13,1,6,1,13,1,6,2,13,1,30,1,13,1,6,1,13,2,6,2,13,1,6,1,13,3,6,1,13,3,9,1,6,1,28,5,29,1,30,1,28,6,30,1,29,1,13,1,8,3,13,1,30,2,28,2,29,1,13,2,9,1,12,2,17,5,12,1,17,2,12,1,13,1,28,2,30,1,28,5,6,3,13,1,24,1,9,1,17,1,12,2,17,1,10,1,17,2,10,1,17,2,28,43,30,3,29,1,6,2,30,2,6,2,30,1,29,1,28,1,24,1,29,1,28,3,6,1,9,1,12,1,10,1,17,1,12,2,17,3,10,2,17,1,10,1,12,2,17,3,12,1,17,1,9,1,17,1,10,1,12,1,17,1,12,1,24,2,12,1,10,1,17,1,24,3,12,2,17,1,10,2,8,1,24,1,10,1,24,1,12,1,24,1,10,1,9,1,17,1,8,1,24,1,12,1,24,1,12,2,24,1,17,1,24,1,12,5,24,1,17,1,12,1,11,2,12,1,13,1,30,7,28,1,30,2,28,1,30,3,28,1,30,1,28,7,30,1,28,1,30,1,28,2,30,1,28,10,30,1,28,5,30,11,28,1,29,1,13,1,6,2,28,1,30,4,6,1,30,1,28,1,30,3,6,1,30,1,11,1,17,1,24,1,8,2,24,1,25,1,7,1,6,2,25,1,27,1,30,1,6,1,8,1,30,1,26,1,29,1,25,1,29,1,27,1,30,1,28,1,29,1,27,1,29,1,28,1,6,1,30,1,7,1,13,1,6,1,13,1,6,1,30,1,29,1,28,1,30,1,6,3,26,1,25,1,29,1,27,1,24,1,29,1,25,1,29,1,26,1,25,1,27,3,24,2,8,2,25,1,8,1,26,1,25,1,8,1,24,1,27,1,24,2,10,1,24,2,12,1,24,1,12,1,24,1,12,1,13,1,12,2,10,1,24,2,8,1,10,1,6,1,8,1,25,1,6,1,8,1,24,2,25,1,24,1,8,1,25,3,26,1,29,1,25,1,24,1,25,2,24,2,8,1,25,2,24,1,17,1,7,1,24,2,13,1,12,1,24,1,12,1,10,1,29,2,28,4,30,1,28,3,30,1,28,1,30,1,28,1,29,1,30,1,6,1,30,2,29,1,28,1,29,1,6,1,29,2,7,1,28,1,26,1,25,1,28,1,29,1,26,1,25,3,10,1,24,1,29,1,25,1,8,1,25,2,8,2,6,1,24,1,10,1,24,1,9,2,17,1,12,4,17,1,12,3,17,2,11,1,17,4,12,1,17,5,12,1,11,1,12,3,11,1,12,1,10,1,12,1,11,1,12,1,9,2,10,2,13,2,6,1,30,1,13,1,29,1,7,1,13,1,8,1,9,1,11,1,10,1,17,5,9,1,11,1,9,2,8,1,9,1,11,1,16,1,10,1,11,1,9,1,11,1,9,1,11,1,9,2,13,1,11,1,9,3,11,1,9,2,8,2,9,1,8,1,9,1,11,1,9,1,16,1,9,2,11,2,9,1,16,2,9,1,17,1,11,2,16,2,9,1,11,2,10,1,16,1,10,1,17,1,9,1,17,1,16,1,9,3,13,1,10,1,8,1,9,1,13,1,8,1,13,4,9,2,8,1,29,1,13,3,9,1,11,1,9,1,13,1,16,1,17,3,12,1,17,6,12,1,17,1,12,3,17,8,12,1,17,1,10,1,17,2,10,1,12,1,17,1,9,1,17,1,9,1,12,1,10,1,8,1,17,1,9,1,24,2,12,1,24,1,17,1,8,1,24,1,9,1,24,2,8,1,10,1,24,1,10,1,24,1,8,2,12,1,10,1,9,1,8,1,12,1,24,1,9,1,10,1,9,1,10,2,13,1,10,1,13,1,10,1,24,1,10,1,13,2,12,1,24,1,8,2,13,1,11,1,13,1,11,1,9,1,24,3,9,1,8,4,12,1,13,2,24,1,13,1,24,2,9,1,24,1,8,1,9,1,8,1,13,1,9,1,8,1,24,1,8,1,9,1,10,1,11,1,9,1,17,1,12,2,17,2,12,1,17,2,9,1,12,1,17,2,12,1,17,2,12,1,17,7,12,1,17,2,16,1,17,2,11,1,16,3,11,1,9,2,8,1,10,1,13,1,28,12,7,1,14,1,12,1,16,1,17,2,12,1,8,1,13,1,8,1,13,1,8,1,29,1,6,1,30,4,8,2,24,1,8,2,9,3,12,1,17,1,11,1,6,1,28,7,30,1,9,1,10,1,24,1,6,1,30,2,28,32,6,1,9,1,17,1,11,1,8,1,13,3,10,1,24,1,8,1,13,1,6,1,28,1,29,1,6,3,7,1,9,1,12,1,9,2,13,1,28,4,30,1,9,1,11,1,6,1,28,3,29,2,7,1,9,1,10,1,15,1,9,2,12,1,10,1,8,1,7,1,6,1,30,1,6,1,13,1,10,1,9,1,13,1,28,3,13,1,16,1,8,1,28,47,30,1,28,1,8,1,9,1,10,1,30,1,28,6,}, {28,35,30,1,28,1,7,1,28,10,29,1,12,1,9,1,24,1,6,2,30,1,28,7,13,1,8,1,12,1,6,1,28,5,29,1,8,2,6,1,13,1,28,1,6,1,28,8,30,1,13,1,24,1,8,1,30,1,28,44,29,1,28,1,30,1,28,1,29,1,13,1,9,1,6,1,29,1,28,2,30,1,29,1,8,2,7,1,30,1,6,1,29,1,6,1,29,1,8,1,7,1,8,1,28,9,6,4,28,5,6,1,12,1,24,1,13,2,30,1,7,1,29,1,8,2,17,1,12,1,16,1,17,1,15,1,24,1,15,1,13,1,28,1,6,3,30,1,28,35,30,1,28,2,7,1,10,1,9,1,8,1,7,1,28,1,30,1,28,2,6,1,14,2,10,1,24,1,13,3,6,1,13,1,6,1,7,1,28,1,29,1,6,1,29,1,7,1,6,2,8,1,30,1,24,1,8,1,24,1,8,1,24,1,14,1,8,2,12,1,10,1,14,1,13,1,28,61,30,1,28,37,30,2,7,1,8,1,29,1,30,1,6,2,28,1,7,1,28,1,30,2,29,2,30,1,7,1,28,2,6,1,28,1,6,1,13,2,30,1,13,1,29,1,13,1,6,2,30,1,6,1,13,1,30,1,28,1,29,1,6,1,30,1,13,1,28,1,29,1,13,1,30,1,28,1,8,1,6,1,7,1,13,1,30,1,13,1,6,1,13,2,8,1,9,2,11,1,13,1,16,1,10,1,13,3,30,1,28,1,13,1,30,1,28,1,29,1,7,1,13,2,6,1,13,1,28,1,29,1,7,1,28,1,6,1,30,1,28,1,29,1,30,1,7,1,6,3,30,1,29,1,6,1,30,2,6,1,28,1,29,2,28,1,6,1,30,1,29,1,30,1,6,1,30,1,6,1,30,1,6,3,13,1,9,1,11,1,17,3,11,1,16,1,11,3,16,2,11,1,16,1,11,3,16,1,9,1,11,2,9,2,16,1,11,5,9,2,11,1,9,4,8,1,9,3,11,1,9,3,8,1,9,2,8,4,9,1,8,1,9,1,13,2,7,1,8,1,29,1,9,1,13,1,6,1,13,2,8,1,7,1,13,2,6,1,7,1,28,1,30,1,29,1,28,44,30,1,9,1,12,1,17,1,10,1,17,4,16,1,17,1,11,1,9,1,11,1,9,3,13,2,9,1,24,1,13,2,8,1,9,1,7,3,13,1,7,1,13,2,29,1,30,1,6,1,29,1,7,1,30,2,6,1,28,1,30,1,29,1,30,2,28,13,29,1,13,1,28,1,6,1,13,1,28,1,6,1,28,1,6,1,30,1,28,1,29,1,30,1,28,2,29,1,28,4,30,1,28,8,30,1,28,1,29,1,30,1,28,1,30,1,28,2,6,1,30,1,7,1,28,2,7,3,30,1,6,1,7,1,30,1,6,1,30,3,6,1,29,1,30,1,6,4,30,1,6,1,29,1,28,1,6,1,30,2,6,2,28,1,30,1,28,3,29,1,13,2,8,1,7,1,8,1,6,1,8,1,7,1,13,1,6,1,7,1,8,1,6,3,8,1,28,1,30,1,29,1,28,1,30,1,28,1,30,1,28,2,29,2,28,1,29,1,28,1,30,1,28,4,6,1,28,2,30,1,28,1,30,1,28,4,30,2,28,7,30,1,28,2,13,1,6,3,29,1,28,1,6,1,13,1,6,1,8,1,13,1,8,1,12,1,9,1,12,1,11,1,9,4,10,1,9,2,16,1,11,1,8,1,10,1,13,1,9,1,8,1,6,2,28,1,30,1,28,3,30,1,28,2,30,1,28,25,30,1,28,1,30,1,28,16,30,1,28,1,30,1,28,8,30,1,28,1,6,2,13,1,17,1,16,1,10,1,17,1,11,1,9,1,13,1,9,1,10,1,9,1,11,1,10,1,8,1,13,1,6,1,8,1,30,1,13,2,30,1,11,2,17,1,9,2,12,1,11,1,9,1,13,3,6,1,13,1,8,1,13,4,9,2,13,3,30,1,6,1,8,2,11,1,9,3,11,1,9,2,11,1,16,1,9,1,16,3,11,1,16,1,11,1,9,1,16,1,11,1,16,2,17,1,16,2,13,1,28,5,13,2,6,1,29,1,8,1,6,1,9,2,11,1,8,1,9,1,13,9,6,3,13,6,7,1,13,1,6,2,13,4,6,1,13,6,6,3,13,10,6,1,13,1,6,1,13,1,6,1,8,1,13,1,8,1,13,1,8,1,13,5,6,1,13,7,7,1,13,1,7,1,13,2,8,1,13,1,8,1,13,5,7,1,13,4,6,1,8,1,9,1,6,1,13,4,8,1,13,1,6,1,7,1,13,5,6,1,13,1,6,2,8,1,13,3,9,1,13,1,6,2,13,3,6,1,13,2,6,1,13,1,6,1,13,3,6,1,13,7,6,1,13,1,6,1,13,3,7,1,13,2,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,11,7,1,13,5,6,1,13,1,6,1,13,2,7,1,13,4,6,1,13,3,6,1,13,2,6,1,13,1,30,1,13,2,6,1,13,3,6,1,13,2,6,1,29,1,13,2,6,1,7,1,13,1,6,1,7,1,6,1,13,1,9,1,13,1,6,1,13,1,30,1,13,1,6,1,13,1,6,2,13,4,6,1,13,2,6,7,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,7,1,8,1,13,3,6,1,13,2,6,1,8,1,6,1,13,2,7,1,13,6,7,1,13,4,7,1,13,2,7,1,13,2,8,1,13,6,6,1,13,2,6,1,13,1,6,1,8,1,13,10,6,1,13,9,6,2,13,3,6,3,13,1,6,1,13,1,6,2,13,1,6,1,13,7,6,2,13,2,6,1,13,2,6,1,13,9,8,1,13,8,28,1,13,1,30,1,6,1,13,1,6,1,13,2,30,2,7,2,6,1,13,5,7,1,13,4,6,1,13,2,6,2,13,2,6,1,7,1,13,5,6,1,13,1,6,1,7,1,13,1,6,1,13,6,7,1,9,1,13,2,6,3,29,1,13,6,7,1,6,1,13,1,7,1,13,2,6,1,13,7,6,1,13,2,7,1,13,1,6,1,13,3,29,1,6,1,13,5,9,1,13,2,6,1,9,1,13,1,6,1,13,1,29,1,13,1,6,1,13,2,6,2,13,1,6,2,13,1,7,1,6,1,13,2,8,1,13,3,7,1,13,3,6,1,13,1,6,1,13,2,8,1,10,1,28,3,30,1,28,1,6,1,28,11,6,1,29,1,7,1,13,1,9,1,24,1,17,3,12,2,10,1,11,1,17,10,24,1,30,1,28,2,30,1,29,1,13,1,7,1,13,1,8,3,10,1,24,2,10,1,12,2,11,1,12,2,17,4,30,2,9,1,13,4,9,1,13,4,7,1,6,1,13,4,30,1,6,1,7,1,30,1,6,2,30,3,28,2,30,1,28,2,30,1,28,10,30,2,28,1,30,1,6,1,30,2,28,2,6,1,28,2,10,1,29,1,28,2,7,1,10,1,12,1,17,1,12,1,17,1,12,1,17,1,10,2,12,2,17,2,9,1,17,1,12,1,17,2,12,1,17,2,10,1,17,1,12,2,24,2,12,1,17,1,12,1,17,1,24,1,10,1,24,2,12,1,10,1,12,1,24,2,12,2,24,1,12,1,10,2,24,1,9,1,17,1,12,2,9,1,12,1,10,2,12,2,10,1,17,1,24,1,10,1,12,3,11,3,12,2,28,1,29,1,6,1,30,8,28,2,30,1,28,1,30,1,28,1,30,2,28,4,30,1,28,1,30,1,6,1,28,1,30,1,28,5,30,1,28,1,30,1,28,3,30,2,28,5,30,2,28,2,30,1,28,1,30,1,28,1,6,1,30,2,6,3,30,1,28,1,30,2,6,2,28,1,30,3,29,1,30,2,13,1,24,1,9,1,8,2,13,1,7,3,25,3,8,1,25,1,6,1,7,1,6,1,25,1,26,1,29,1,25,1,7,1,29,1,30,1,6,1,25,1,29,3,6,1,7,2,13,1,28,1,7,1,28,1,30,2,6,1,7,1,30,1,6,1,8,2,25,1,29,1,27,1,25,1,27,1,25,4,8,1,24,1,25,1,24,1,12,1,8,1,6,1,24,2,6,1,26,1,25,1,24,1,17,1,24,1,8,1,24,2,17,1,10,1,24,2,10,1,17,1,8,1,24,1,10,1,12,1,10,1,8,1,10,1,8,1,25,1,8,2,25,1,8,1,25,1,26,1,8,1,26,1,25,1,24,1,25,2,8,1,24,1,25,2,24,2,25,1,10,1,24,1,8,1,7,1,24,1,10,1,24,2,17,1,9,1,24,3,30,1,28,6,30,1,28,6,30,1,28,1,29,3,30,2,28,1,6,1,29,1,30,1,29,1,28,1,25,1,27,1,29,1,24,1,27,1,25,1,27,1,30,1,29,1,8,1,24,1,25,1,27,1,8,2,24,1,25,1,12,1,24,1,7,1,24,2,12,1,9,1,12,3,10,1,17,1,12,1,17,1,10,1,17,1,10,1,8,1,9,1,17,2,12,2,17,1,12,1,17,2,10,1,12,1,11,3,12,1,11,1,12,1,10,1,12,1,11,3,10,3,9,1,13,2,7,1,13,4,8,1,9,1,10,2,12,1,10,1,9,1,12,1,10,1,17,1,9,1,8,1,9,2,11,2,16,1,9,6,10,1,9,1,13,1,8,1,13,1,9,3,11,1,16,1,17,1,9,1,11,1,8,1,9,1,11,2,13,1,9,2,16,1,11,1,16,2,10,1,9,1,11,1,9,1,11,1,16,1,9,1,10,1,9,1,11,3,9,2,17,1,11,2,9,1,13,1,9,1,13,2,30,1,13,4,8,1,9,1,13,1,8,1,16,1,8,1,10,1,9,1,11,1,12,1,9,1,16,1,17,1,16,1,17,2,10,1,17,9,12,1,17,1,11,1,17,1,11,1,12,4,17,1,11,2,17,1,10,1,17,1,10,1,17,1,24,1,12,1,24,1,12,1,17,1,10,1,8,1,17,1,10,1,24,1,10,1,8,1,12,1,24,1,9,1,10,1,12,1,10,1,9,1,24,1,12,1,10,1,8,1,24,1,9,1,24,1,8,2,24,3,9,4,24,1,9,2,24,1,9,1,12,1,9,1,13,1,7,2,8,1,13,1,10,1,7,1,17,1,13,1,9,1,24,1,9,3,11,1,24,1,8,2,24,1,10,1,8,1,9,2,24,2,12,1,13,1,6,1,10,1,9,1,8,1,7,1,9,2,24,1,13,1,24,3,9,1,10,1,11,1,9,1,12,2,10,1,17,1,10,1,17,3,11,1,17,2,12,1,17,3,9,1,17,4,16,1,17,2,11,1,17,8,12,1,16,1,9,4,6,1,28,2,30,1,28,4,30,2,28,3,7,1,17,5,12,1,17,1,9,1,13,1,8,1,6,3,29,1,30,1,28,1,30,1,29,1,13,2,8,1,11,1,9,1,15,1,14,1,17,2,10,1,13,1,28,7,30,1,12,2,8,1,13,1,29,1,28,31,6,1,30,2,8,1,17,1,9,2,13,1,9,1,7,1,24,2,7,1,8,1,28,1,6,2,30,1,28,1,13,1,8,1,24,1,17,1,12,1,8,1,6,1,28,4,6,2,10,1,29,1,30,1,28,2,29,2,13,1,6,1,12,2,9,1,12,2,9,1,7,1,6,1,30,1,28,1,7,1,6,2,8,1,13,1,28,3,30,1,12,2,30,1,28,42,30,1,28,4,6,1,13,1,17,1,9,1,28,7,}, {28,28,30,1,28,7,29,1,30,1,28,10,8,1,17,1,11,1,8,1,13,1,6,1,28,8,30,1,9,1,24,1,6,1,28,5,7,1,24,1,13,1,6,1,28,1,30,1,28,9,30,1,24,1,12,1,9,1,28,46,29,1,28,3,13,1,8,1,24,1,28,2,30,1,28,2,8,2,30,1,29,2,6,1,29,1,6,1,8,1,24,1,30,1,6,1,28,8,29,1,6,1,8,1,6,1,28,5,6,1,15,1,9,1,7,1,13,1,24,1,13,1,29,1,8,1,24,1,12,1,17,1,8,1,16,1,17,1,14,1,9,1,6,1,29,3,6,1,29,1,28,26,30,1,28,8,6,1,28,1,30,1,29,1,8,1,15,1,8,1,6,1,28,4,6,1,17,1,10,1,8,1,24,1,13,1,8,1,7,2,13,1,6,1,29,1,6,1,30,1,6,1,29,1,13,1,6,2,13,1,8,2,13,1,15,1,8,1,12,2,15,1,8,1,12,1,10,1,14,1,13,1,28,41,30,1,28,55,30,1,28,1,6,1,30,2,28,2,30,1,28,1,29,1,6,1,28,2,30,1,6,1,30,1,13,1,28,1,29,1,30,1,28,1,30,3,7,1,8,1,6,1,7,1,6,1,7,1,6,1,30,1,6,1,30,2,13,1,6,2,30,1,6,2,29,1,6,1,30,2,13,1,6,1,30,2,8,1,6,1,30,1,6,1,13,1,28,1,13,1,6,1,8,1,13,2,17,1,10,2,11,1,16,1,7,1,29,1,30,2,7,1,30,1,7,1,13,2,9,1,7,1,29,1,28,1,6,2,28,1,30,1,13,1,28,1,13,3,30,1,6,1,30,1,6,1,30,2,28,1,29,2,6,1,29,1,30,1,7,1,6,2,7,1,13,1,6,2,8,1,13,1,8,1,16,1,17,5,16,1,11,1,9,1,11,1,16,1,11,2,16,1,11,2,16,1,11,1,16,1,11,1,16,1,9,3,11,1,10,1,16,2,10,1,11,1,9,3,10,1,9,1,8,1,9,1,10,1,13,1,8,2,9,2,8,1,9,1,13,1,8,1,13,2,8,1,13,1,11,1,13,1,8,1,7,1,8,3,13,2,7,1,13,4,7,1,6,1,13,1,6,3,13,1,30,1,28,1,30,1,29,1,28,43,6,1,12,1,17,5,16,2,17,1,11,2,9,1,13,1,12,1,9,1,12,1,9,1,8,1,13,2,8,1,6,1,13,1,9,1,29,1,13,2,8,2,7,1,29,1,6,1,13,1,30,1,13,1,6,1,30,1,7,1,30,1,28,1,30,1,29,1,6,1,28,2,30,2,28,9,6,2,13,2,6,4,29,1,6,2,28,1,30,2,28,1,30,1,28,2,30,1,28,1,29,1,28,3,30,1,28,1,30,1,28,4,30,1,6,1,28,2,6,1,28,1,30,1,28,1,30,2,29,1,6,1,30,1,6,1,13,2,30,1,7,1,30,2,6,1,28,1,29,1,28,1,30,3,6,2,29,1,6,1,13,1,7,1,30,1,13,1,28,1,6,1,30,1,28,1,30,1,28,4,6,1,7,1,13,3,7,1,6,1,24,1,6,1,8,1,13,1,30,1,7,2,6,1,7,1,6,1,13,1,30,1,28,1,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,3,30,1,28,13,30,1,28,7,6,1,13,1,6,1,29,1,13,1,29,2,6,2,30,1,29,1,13,1,8,1,9,3,10,1,9,2,8,1,9,1,8,1,9,1,8,1,13,1,11,1,13,1,8,2,9,3,13,1,8,1,13,2,6,1,7,1,28,2,30,1,28,3,29,1,28,19,30,1,28,1,30,2,28,8,30,2,28,10,30,1,28,1,30,1,28,3,29,1,28,1,6,1,30,1,6,1,13,1,9,2,16,1,17,1,16,3,11,1,9,1,13,1,9,1,8,1,11,1,16,1,9,1,13,1,9,1,13,1,6,3,29,1,8,2,13,1,16,1,10,2,11,1,9,1,13,3,6,1,13,2,30,1,13,2,9,3,13,1,9,1,13,2,6,1,13,1,9,2,16,1,10,1,11,1,9,2,13,1,11,1,9,1,10,1,11,1,16,1,9,1,11,1,9,1,16,1,11,2,16,3,11,1,16,1,17,1,13,1,28,5,13,1,28,1,13,1,28,1,30,1,13,1,30,1,9,2,11,1,9,1,13,1,7,1,13,9,8,1,6,1,13,2,6,1,13,3,7,1,13,2,6,1,13,5,7,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,13,4,6,1,13,5,6,1,13,1,6,2,30,2,13,4,6,1,13,5,7,1,13,1,7,1,13,11,8,1,13,14,7,1,8,1,13,4,9,1,13,1,9,1,13,3,6,2,13,1,6,2,13,2,6,2,13,3,8,1,6,1,13,4,6,2,13,2,7,1,13,1,7,2,6,1,13,1,6,1,7,1,13,1,7,1,13,1,6,1,13,3,6,1,13,13,6,1,13,2,6,1,13,3,9,1,13,2,8,1,13,7,29,1,13,1,7,2,13,3,7,1,6,1,7,1,13,8,6,1,13,6,7,1,13,6,6,1,13,1,6,1,13,5,6,1,13,6,6,1,13,2,9,1,6,5,7,1,13,3,6,2,13,1,6,1,13,4,6,2,13,4,7,1,13,1,6,3,13,2,6,1,13,1,7,1,13,6,6,1,13,1,6,1,13,1,6,1,13,2,7,1,9,1,13,3,6,2,13,2,7,1,13,3,6,1,13,2,6,2,13,3,8,1,6,1,13,2,6,2,13,2,6,1,13,4,9,1,13,2,9,4,8,2,9,2,17,1,9,1,13,4,6,1,13,6,6,1,13,1,7,1,13,1,6,1,7,1,13,5,6,1,13,1,6,1,13,1,7,1,13,1,30,1,13,2,6,1,13,1,29,1,13,1,6,1,7,1,13,6,7,1,13,1,6,1,13,2,7,2,6,1,13,1,7,1,6,1,29,1,7,1,30,1,6,3,13,8,6,1,13,1,6,2,13,1,6,1,13,2,6,2,13,1,6,3,13,1,6,1,13,3,30,1,13,1,29,1,13,6,6,1,13,2,7,1,13,4,7,1,6,1,13,1,7,1,6,1,13,1,6,1,13,6,6,2,13,3,29,1,6,1,13,3,30,1,13,1,6,1,13,3,8,1,6,1,13,2,6,3,13,2,6,1,30,1,13,1,6,3,13,3,6,1,13,1,6,1,7,1,13,1,6,2,13,1,6,1,17,2,6,1,13,2,6,1,13,5,7,1,6,2,9,1,11,1,30,1,28,3,29,1,30,1,28,16,12,1,8,1,10,1,8,1,11,1,10,1,12,1,11,1,17,7,12,1,17,3,9,1,30,3,29,1,6,2,29,1,13,1,24,1,8,1,13,1,8,1,24,3,12,1,17,2,9,1,17,2,12,3,28,2,13,4,6,5,7,1,6,4,29,1,13,2,6,1,13,1,6,2,13,1,6,1,13,3,6,3,13,1,6,1,13,5,7,1,13,1,8,1,13,1,8,1,9,5,10,1,9,1,11,1,9,1,8,1,28,1,11,1,29,1,28,1,29,1,10,1,17,2,10,1,17,6,10,1,17,1,12,1,17,1,12,1,17,5,12,1,17,1,12,1,17,1,12,2,24,1,12,1,17,2,24,1,12,1,10,1,24,1,10,2,17,1,12,1,24,1,10,1,12,1,10,4,12,1,10,1,24,1,12,1,13,1,9,1,17,1,24,1,12,1,9,3,12,1,9,2,12,2,10,1,12,2,17,1,12,2,17,2,28,1,30,2,29,1,30,2,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,5,30,1,28,1,30,1,28,6,30,1,28,1,30,1,28,5,29,1,30,6,28,1,30,3,6,1,28,2,30,1,6,2,13,1,28,1,6,1,30,3,6,1,30,4,29,1,6,1,30,1,10,1,12,1,24,1,7,1,8,2,24,1,8,1,25,2,6,1,25,1,29,1,25,3,8,1,25,1,27,1,29,1,6,1,29,1,6,1,7,2,6,1,29,1,6,1,28,2,13,1,30,2,7,1,29,1,28,1,30,1,6,1,7,1,13,1,29,1,30,2,29,1,27,2,25,1,27,1,29,1,25,2,26,1,8,2,25,2,8,2,24,1,10,1,24,1,25,1,24,1,8,1,24,1,8,1,24,3,10,4,9,1,10,1,8,1,13,1,12,2,8,1,24,2,8,1,24,1,10,1,8,1,24,1,25,3,8,1,24,1,8,1,25,1,26,1,25,1,8,1,25,1,8,1,25,1,24,1,10,1,8,3,12,1,24,2,10,1,24,3,12,1,24,1,8,1,12,1,13,1,30,2,28,9,30,1,28,1,30,2,28,1,29,1,30,1,28,1,6,1,28,1,29,2,28,1,29,1,30,2,7,1,6,1,25,1,26,2,30,1,27,2,8,1,25,1,27,1,8,1,27,1,8,3,25,1,8,1,24,1,8,1,24,2,8,1,9,1,12,1,24,1,12,1,11,2,12,2,11,1,12,1,11,1,10,1,9,1,28,1,9,1,17,1,10,1,12,1,17,1,12,1,17,1,12,2,17,2,11,2,12,1,11,2,17,1,12,1,11,1,17,1,9,1,10,1,11,1,9,1,10,1,24,1,8,1,24,2,9,3,10,1,11,3,10,1,12,2,11,2,9,1,11,1,13,1,11,1,9,3,11,2,9,1,11,4,16,1,9,1,8,1,9,6,16,2,11,1,16,2,11,1,9,1,10,1,16,2,11,1,17,1,11,1,16,1,9,1,11,1,16,1,9,1,10,1,11,3,16,1,11,1,17,1,9,1,16,1,9,4,11,1,8,1,9,1,13,2,9,1,13,3,8,2,9,1,7,1,13,1,9,1,8,1,9,2,11,1,10,1,17,2,16,1,17,8,12,1,17,2,12,1,17,2,12,1,17,5,11,1,12,2,17,2,12,1,11,1,13,1,12,2,9,1,12,1,17,1,12,2,8,2,10,1,24,1,10,1,12,4,8,1,12,1,24,3,17,1,9,1,8,7,9,1,8,2,24,2,10,1,24,1,10,1,8,1,24,1,10,1,24,1,10,1,13,1,8,1,24,2,8,1,10,1,7,1,8,1,24,1,13,2,17,1,12,1,9,1,10,2,13,1,8,1,10,1,9,1,8,1,24,1,8,1,9,1,8,1,24,1,9,4,8,2,24,1,8,1,9,1,24,1,8,3,11,1,24,2,12,1,8,1,24,1,10,1,12,1,24,1,8,1,12,1,17,1,12,2,17,1,12,1,17,6,12,1,17,1,10,1,17,17,9,1,10,1,6,1,28,3,30,3,29,1,30,1,28,4,30,1,16,1,12,1,17,1,12,1,17,1,9,2,24,2,13,2,6,1,30,4,28,1,30,1,6,3,9,2,14,1,9,1,10,1,12,1,9,1,13,1,28,7,6,1,8,2,13,2,30,1,28,30,29,1,28,2,29,1,9,1,10,1,8,1,13,3,24,3,6,1,7,1,30,2,28,1,6,1,29,1,13,2,8,1,9,1,10,1,8,1,6,1,28,4,6,1,8,1,9,1,13,1,28,5,7,1,29,1,9,1,15,1,14,1,9,1,12,1,9,1,13,1,6,1,28,1,6,1,30,1,8,1,9,2,7,1,28,3,8,1,24,1,13,1,28,3,30,1,28,39,30,2,28,1,30,1,6,1,13,1,9,2,24,1,28,7,}, {28,27,30,1,28,8,30,1,28,6,30,1,28,3,13,1,9,1,17,1,10,1,24,1,13,1,30,1,28,7,30,1,29,1,24,1,9,1,6,1,28,5,29,1,24,2,29,1,7,1,6,2,28,9,7,1,24,1,8,1,6,1,28,46,29,1,28,2,8,1,24,1,8,1,30,1,28,3,29,1,13,1,8,1,6,2,29,1,30,1,29,1,7,1,29,1,6,1,29,2,28,8,6,1,13,2,28,6,13,1,8,1,9,1,13,1,6,2,29,1,6,1,8,1,9,1,10,1,12,1,9,1,17,1,14,1,15,1,24,1,6,1,7,1,6,2,13,1,29,1,28,31,29,1,30,1,28,5,30,1,13,1,12,1,24,1,6,1,28,5,9,2,24,1,13,1,29,1,8,1,30,2,24,1,6,2,30,1,6,1,30,1,6,2,30,1,29,1,28,1,6,1,13,1,9,1,10,1,24,2,12,1,24,2,10,2,14,1,8,1,28,97,30,2,28,12,30,1,28,3,6,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,8,1,30,1,13,1,6,1,29,1,30,1,6,2,29,1,6,1,30,1,28,1,30,1,6,1,30,1,13,1,29,1,6,2,13,2,28,2,13,1,28,2,29,1,6,2,7,1,9,1,8,1,9,1,8,1,10,1,16,2,9,1,7,1,6,1,28,1,6,1,30,1,13,2,6,1,13,1,6,1,13,1,28,1,30,1,13,1,30,2,6,1,30,1,29,1,6,1,13,1,6,2,29,1,6,1,29,1,30,1,6,1,29,1,28,1,29,1,30,1,6,1,13,1,6,2,13,2,29,1,13,1,11,1,17,5,16,1,11,2,16,2,9,1,16,2,9,1,16,1,11,2,17,1,16,1,11,1,9,1,11,1,10,1,9,1,10,1,9,1,11,1,10,1,9,1,11,1,9,3,10,1,9,6,8,1,9,2,11,1,9,1,8,1,9,1,8,1,9,1,13,2,8,1,6,1,13,2,8,1,13,1,7,1,13,4,7,1,13,1,6,3,13,1,29,1,30,1,7,1,28,1,6,1,30,1,29,1,6,1,29,1,28,1,30,1,28,42,7,1,10,1,12,1,17,5,16,1,17,2,16,1,11,1,9,1,12,1,9,1,12,1,11,1,8,2,24,1,8,1,7,1,8,2,7,2,13,2,30,1,6,2,29,1,6,1,30,1,6,2,28,1,30,1,6,1,30,1,6,1,28,1,6,1,30,1,6,1,29,2,30,1,28,9,13,1,7,1,13,1,6,5,30,1,29,1,6,1,28,1,30,5,28,1,29,1,28,4,30,3,28,1,7,1,29,1,28,1,6,2,30,1,6,2,29,1,13,1,6,5,13,1,6,4,29,1,6,3,13,1,29,5,30,1,6,2,30,2,6,1,30,1,7,1,6,3,29,1,28,1,30,1,6,1,28,1,7,1,13,4,6,1,13,2,6,1,13,1,6,1,13,1,30,1,13,1,6,2,13,1,30,1,6,1,28,1,13,1,28,1,30,1,6,1,28,5,30,1,28,3,29,1,28,3,30,1,28,19,13,1,30,1,6,1,29,2,28,1,30,2,28,1,30,2,29,1,9,1,10,1,9,1,12,1,8,2,24,1,9,1,8,1,9,1,8,1,11,1,8,1,11,1,13,5,8,1,9,1,13,2,9,1,8,1,13,1,6,1,7,1,28,1,6,1,28,2,30,1,28,3,30,1,28,15,30,1,28,7,6,1,28,1,6,1,30,2,29,1,28,1,30,1,28,8,6,1,28,1,30,1,28,1,6,2,13,2,8,1,9,2,16,2,17,1,16,1,11,1,16,2,13,1,9,1,13,2,9,1,11,1,8,1,11,1,9,1,13,6,30,1,9,2,8,1,11,2,13,1,9,2,13,1,8,1,13,2,6,1,13,1,6,1,13,3,9,3,13,1,30,1,13,1,7,1,11,1,9,2,13,1,9,1,16,2,9,1,11,1,16,1,11,1,9,1,11,1,16,1,11,1,16,1,17,1,11,1,16,4,11,2,9,2,28,5,13,2,30,1,13,1,30,1,13,1,6,1,30,1,9,1,16,1,11,1,13,4,6,1,13,3,6,1,13,2,7,2,13,10,6,1,13,9,6,1,13,1,7,1,6,2,7,1,13,4,7,1,13,3,6,1,7,1,13,2,6,1,13,2,7,1,13,11,8,1,13,17,7,1,13,1,6,1,8,1,13,1,7,1,13,4,9,1,13,4,6,1,13,5,7,1,13,2,6,1,13,3,7,1,13,1,6,1,13,1,30,1,13,3,6,1,13,1,6,1,13,1,7,1,6,2,13,8,6,1,7,1,13,12,6,1,13,1,6,2,13,15,6,2,13,13,8,1,6,1,13,2,6,1,13,1,7,1,13,4,6,1,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,6,7,1,6,4,13,1,6,1,13,3,6,1,13,1,30,1,9,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,6,1,30,1,28,1,6,2,13,2,6,1,7,1,13,2,6,1,7,1,13,3,7,1,6,1,13,6,6,1,13,1,6,1,13,1,6,1,7,1,13,3,6,1,13,11,6,1,13,5,7,1,13,4,6,1,13,3,6,1,13,1,6,1,13,2,30,1,13,6,7,1,13,1,10,1,8,1,9,1,16,1,9,7,13,1,9,1,11,1,16,1,11,1,9,1,8,1,13,2,30,1,13,1,7,1,13,5,8,1,13,1,29,1,13,1,6,1,13,1,6,1,13,2,6,1,13,3,6,2,13,1,7,1,13,1,6,1,13,3,6,1,13,2,6,2,13,1,6,1,7,1,6,2,7,1,6,1,7,1,13,2,6,5,13,1,30,1,6,3,13,1,6,1,13,3,6,1,13,2,6,1,13,1,7,1,13,2,6,2,13,2,6,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,6,7,1,13,1,9,1,7,1,13,1,6,2,13,2,6,2,13,1,6,3,8,1,13,1,7,1,6,3,13,1,6,1,8,1,6,1,13,1,7,1,6,1,13,1,6,3,30,1,8,1,6,3,13,1,30,1,13,2,7,1,13,1,6,1,13,1,6,3,13,1,6,1,13,1,6,2,30,1,6,2,7,1,13,1,6,1,13,1,7,1,6,4,13,1,6,1,17,2,30,1,13,1,6,1,13,1,7,1,13,6,6,1,13,1,16,1,30,1,28,3,30,1,28,17,12,1,13,1,12,1,8,1,10,2,17,1,12,1,10,1,17,7,12,1,17,1,12,1,24,1,6,2,29,1,30,1,29,1,30,1,29,1,7,2,24,1,13,3,24,2,9,1,17,1,12,2,10,2,11,1,10,1,17,1,11,1,13,1,9,1,13,1,30,1,7,1,6,2,30,1,6,1,30,4,6,8,30,1,13,1,6,1,7,1,6,2,30,1,6,3,30,2,6,1,30,2,6,2,13,3,6,1,13,2,8,1,9,2,8,1,9,3,7,1,13,1,10,1,8,2,17,12,9,1,10,1,17,9,12,1,17,3,12,1,10,1,24,1,10,1,12,4,24,1,12,3,24,1,10,2,12,1,10,1,12,1,10,1,24,1,12,1,10,2,12,1,10,3,12,2,9,1,12,3,10,3,12,2,10,2,12,1,17,2,9,1,28,2,30,1,28,1,30,2,28,1,30,1,28,3,30,1,28,4,30,1,28,4,6,1,28,1,30,1,28,1,30,1,28,17,30,2,28,1,30,1,6,1,30,2,6,1,28,1,30,2,28,2,30,1,6,3,29,1,28,1,29,1,6,3,30,4,6,2,30,2,8,1,17,1,8,1,13,1,8,2,7,1,25,1,8,1,25,1,6,1,8,1,29,1,6,1,25,1,6,1,29,1,6,4,28,1,30,1,7,1,28,1,29,3,7,1,28,1,30,1,29,1,30,2,6,1,30,1,28,1,30,2,13,1,7,1,30,1,6,2,26,1,27,1,26,1,25,1,30,1,25,1,29,1,25,4,13,1,12,1,24,2,7,1,8,1,24,1,8,1,13,1,24,1,8,1,24,1,8,1,10,1,12,2,24,1,13,1,12,1,24,1,10,1,12,1,24,1,10,2,24,1,8,2,24,1,10,1,25,1,24,1,29,1,8,1,24,2,25,1,24,1,8,1,6,1,25,1,6,1,8,2,24,1,8,1,24,2,8,1,29,1,8,1,24,2,8,1,12,2,24,1,10,1,12,2,24,1,6,1,29,1,28,1,30,1,28,9,30,1,28,2,30,1,28,2,6,1,28,1,30,1,29,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,29,1,27,2,26,1,8,1,27,2,25,3,8,1,27,1,26,1,24,1,8,1,24,1,8,1,24,1,13,1,9,1,24,1,12,2,10,1,17,2,12,3,11,2,9,2,8,1,9,2,11,1,12,7,11,1,17,1,11,2,12,1,11,1,10,1,12,1,11,1,10,1,12,1,11,1,10,1,9,3,8,1,9,1,10,1,11,1,9,1,11,1,9,4,11,1,9,1,12,1,11,1,9,1,17,1,11,2,9,4,8,1,9,5,11,1,9,2,11,1,16,1,13,1,16,2,11,4,9,1,11,1,16,3,9,1,16,2,11,3,17,1,10,1,11,1,9,1,11,2,9,7,11,1,9,1,16,1,17,1,9,1,11,1,10,1,13,1,6,1,9,2,13,1,9,1,13,1,8,4,9,2,17,1,12,1,17,9,12,1,17,2,12,1,11,1,17,3,12,1,10,1,8,1,17,1,12,2,17,1,12,1,17,4,12,2,9,1,8,1,17,2,11,1,9,2,10,2,9,1,12,1,13,1,10,1,24,2,12,1,10,1,24,1,12,1,24,1,12,2,8,1,12,1,24,1,8,1,10,2,8,1,12,1,8,2,24,1,8,1,12,1,13,1,8,1,9,2,17,1,12,1,8,1,12,1,8,1,11,1,12,1,24,3,13,1,8,1,6,1,10,1,6,1,8,2,24,2,8,1,11,1,13,1,10,1,8,2,13,1,8,1,9,3,24,1,10,2,8,2,24,1,8,1,10,1,8,1,17,1,8,2,24,2,10,1,24,1,9,1,13,1,10,1,12,1,10,1,17,1,12,1,11,1,12,1,24,1,11,1,24,1,12,1,17,1,12,1,17,2,10,1,17,6,12,1,17,2,11,1,17,2,12,2,17,10,12,1,9,1,28,4,30,3,28,1,30,2,28,3,6,1,16,1,17,1,12,1,17,1,12,1,10,1,9,1,13,1,9,1,13,3,30,1,6,1,29,1,28,1,30,2,29,2,6,1,8,1,9,1,12,1,14,1,17,1,12,2,6,1,28,7,29,1,9,1,12,1,24,1,29,1,30,1,28,33,29,1,8,1,11,1,9,3,13,2,9,2,13,2,6,1,30,1,29,1,13,1,29,2,6,1,24,1,11,1,13,2,29,1,28,4,13,1,15,1,8,1,13,1,28,4,30,1,6,1,13,1,8,1,12,1,15,1,17,1,8,2,9,1,6,1,28,1,30,1,29,1,8,1,12,1,8,1,29,1,28,3,8,1,12,1,8,1,28,45,30,1,28,2,6,1,9,1,17,1,11,1,30,1,28,6,}, {28,17,29,2,30,1,28,1,6,2,28,1,30,1,28,1,30,2,28,19,13,1,12,1,17,1,10,1,24,1,29,1,28,1,30,1,28,7,6,1,24,1,15,1,8,1,29,1,28,4,6,1,8,1,24,1,6,3,28,3,30,1,28,6,6,1,8,1,24,1,13,1,28,49,13,1,8,1,6,1,28,3,30,1,28,1,6,1,8,1,6,1,30,3,6,1,29,1,7,1,6,2,29,1,28,9,6,1,13,1,29,1,28,5,6,1,9,2,8,1,6,1,29,1,13,2,8,1,24,1,10,1,12,2,17,1,12,1,10,1,9,1,6,2,30,2,6,1,29,1,28,34,30,1,28,1,30,1,28,1,30,1,29,1,10,1,24,1,7,1,28,5,10,1,24,1,8,1,7,1,8,1,6,1,7,1,29,1,7,1,30,1,13,1,6,1,7,1,28,1,13,1,28,2,30,1,6,1,8,2,9,2,24,1,8,1,9,1,13,1,9,1,8,1,14,2,13,1,29,1,28,94,29,2,28,16,30,1,28,2,29,1,28,1,30,3,29,1,6,1,29,1,6,1,24,1,28,1,13,1,28,1,13,1,6,2,28,1,6,1,30,1,6,2,30,1,6,1,30,1,13,1,6,1,8,1,30,1,6,1,13,1,7,1,6,1,8,1,30,1,6,1,13,1,6,1,13,1,6,1,13,3,9,1,11,1,9,1,16,1,11,1,7,2,30,1,6,2,7,1,13,2,6,1,13,1,30,2,28,1,6,3,28,1,6,2,13,1,6,3,30,1,7,1,6,2,28,1,6,4,30,1,7,1,6,1,13,1,6,1,9,1,16,1,17,7,11,1,16,1,11,2,17,1,16,6,11,2,16,1,9,1,11,1,9,1,11,2,9,1,16,1,9,1,10,1,11,1,9,1,11,1,9,2,10,1,9,1,10,1,9,1,11,1,9,3,8,1,13,1,11,1,13,2,9,1,7,3,6,1,13,3,6,1,8,1,13,4,6,4,7,1,6,1,28,1,6,1,7,1,28,1,7,1,28,2,13,1,30,1,13,1,30,1,28,44,9,1,11,1,17,2,16,1,17,4,16,1,11,1,17,1,16,1,12,1,16,1,9,1,17,1,13,1,9,1,24,1,13,1,8,1,13,2,7,1,6,1,30,1,6,2,7,1,6,3,29,2,13,1,29,1,6,1,30,1,29,1,30,1,6,1,30,1,13,1,30,1,6,1,30,1,28,10,29,2,7,1,6,1,7,1,6,1,29,1,6,3,29,2,30,2,28,1,7,1,28,1,6,1,30,1,28,1,30,1,28,1,29,1,6,1,28,1,6,1,28,1,6,1,30,1,6,2,13,2,9,1,8,1,17,1,16,1,9,1,17,1,16,2,11,1,13,1,6,1,13,2,6,2,13,1,6,1,13,2,6,3,29,2,6,3,13,1,30,1,7,2,28,1,6,3,30,1,13,1,6,1,7,1,6,1,29,1,7,1,6,2,13,3,7,1,6,1,7,1,6,3,30,1,8,1,7,1,6,1,30,1,29,1,7,1,28,2,30,2,6,1,29,1,30,1,28,1,29,1,30,1,28,3,30,1,28,9,29,1,28,3,29,1,28,8,30,1,28,1,13,1,6,1,8,1,6,2,28,1,29,1,28,2,29,1,7,1,6,1,24,1,8,1,12,1,9,2,24,1,13,1,24,2,9,1,13,1,8,2,11,1,13,5,6,1,8,1,13,1,7,2,13,1,8,2,13,2,28,1,30,1,6,1,29,1,28,1,6,1,28,1,6,1,28,2,30,1,28,14,30,1,28,2,30,2,29,1,28,2,29,1,30,1,28,1,6,1,30,1,28,1,30,2,28,2,29,2,28,1,13,1,28,1,30,1,8,2,6,1,9,2,16,1,11,3,16,3,11,1,16,1,9,3,7,1,6,1,13,1,11,2,9,2,13,2,30,1,13,1,6,2,30,1,6,1,9,1,11,3,16,1,10,2,13,1,9,2,30,1,7,1,13,2,6,1,9,3,13,1,9,1,13,1,6,2,13,2,11,1,9,1,11,2,13,1,9,2,11,1,16,1,9,1,11,1,16,3,11,2,10,1,16,6,9,1,11,1,28,5,29,1,6,2,13,3,6,1,30,1,13,1,11,1,9,1,13,6,6,1,13,3,6,1,13,3,7,2,13,13,7,1,6,1,13,4,29,1,13,10,6,1,9,1,13,2,8,1,7,1,13,12,8,1,13,1,6,1,13,11,6,1,9,1,13,3,7,2,13,2,8,1,13,6,8,1,13,7,7,1,13,6,6,1,13,1,6,3,13,1,30,1,6,1,13,2,6,1,13,9,6,1,13,1,7,1,13,2,29,1,7,1,13,2,30,1,13,2,6,1,13,3,6,1,13,8,6,1,13,2,7,1,13,2,30,1,13,1,6,1,13,8,8,1,6,1,13,3,7,1,13,6,30,1,13,2,8,1,13,4,7,1,6,1,7,1,6,1,13,5,6,1,13,4,6,2,13,1,6,1,8,1,13,1,6,1,13,2,6,1,13,1,6,4,13,4,7,1,30,1,7,1,6,1,13,1,6,1,13,1,30,1,6,1,13,1,6,2,13,1,6,1,7,1,13,1,30,1,13,4,6,1,13,4,6,1,13,2,29,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,6,1,13,1,9,1,6,1,13,5,6,1,13,1,7,1,13,4,6,1,13,1,6,2,13,2,6,3,13,1,6,2,13,3,6,1,13,3,8,1,13,3,6,1,7,1,13,2,16,1,9,1,16,1,13,1,9,2,11,1,13,2,9,1,13,1,9,1,8,1,13,1,9,1,8,1,11,1,9,1,13,1,7,1,6,1,13,2,6,1,7,1,6,2,13,2,6,2,13,3,6,1,13,4,6,1,7,1,13,1,6,1,13,1,6,1,13,10,9,1,13,1,6,1,7,1,6,1,7,1,13,4,28,1,6,1,13,1,7,1,13,1,6,1,30,2,13,1,6,1,7,1,13,3,6,2,13,1,6,1,13,4,6,3,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,7,1,13,6,7,2,6,1,13,2,6,2,7,1,30,1,7,1,13,2,6,6,7,1,13,1,6,1,13,2,7,3,6,2,13,1,6,1,13,2,6,2,13,1,6,2,13,1,6,1,9,1,6,1,13,1,7,2,6,1,13,1,30,1,6,1,13,1,6,2,13,1,6,1,7,1,6,3,7,2,6,2,13,2,6,1,13,1,6,1,7,1,9,1,13,1,6,1,7,1,13,3,7,1,13,1,7,1,13,4,6,1,9,1,8,1,29,1,6,1,30,1,28,18,24,2,10,1,24,2,12,1,10,1,12,3,17,9,12,1,13,1,28,1,30,3,29,1,30,3,7,1,6,1,13,1,7,1,6,1,7,1,13,1,24,1,9,1,12,1,17,2,12,2,10,1,17,2,8,1,13,2,29,1,6,2,30,1,29,1,30,2,6,1,30,1,6,7,30,2,6,3,30,1,6,4,30,1,6,2,28,1,13,1,6,2,30,1,6,1,7,1,6,1,7,1,6,2,13,1,7,1,13,2,8,1,9,2,13,1,11,1,17,16,12,1,17,1,12,2,17,5,12,1,9,1,10,1,12,1,17,4,10,1,12,2,24,1,17,1,24,1,17,1,12,1,10,1,24,2,10,1,8,1,9,1,12,1,17,1,12,1,24,2,12,1,17,1,24,1,12,2,10,2,17,1,12,1,9,1,17,1,10,1,12,3,9,2,12,1,9,1,17,2,9,1,30,1,28,3,30,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,6,6,1,30,1,28,1,30,1,28,4,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,1,6,1,28,1,6,1,28,1,30,4,6,3,30,1,6,1,28,2,6,2,30,1,6,1,30,2,6,3,30,1,13,2,9,1,13,1,6,1,7,1,25,1,8,2,6,1,8,1,27,1,25,1,29,2,6,1,25,1,6,1,30,1,7,1,25,1,7,1,29,1,6,1,8,1,6,2,7,1,8,1,7,1,28,1,30,1,6,2,30,1,6,2,29,1,6,1,29,2,6,2,28,1,30,1,27,1,25,1,26,1,27,3,29,1,25,1,27,1,8,1,24,1,13,1,24,1,12,1,24,1,6,1,24,1,10,1,8,2,24,1,10,1,12,1,8,2,12,1,13,1,10,1,24,1,12,2,10,1,24,1,12,1,24,1,12,1,24,2,8,1,24,1,8,2,25,1,24,2,25,1,24,1,27,1,8,1,25,1,26,1,24,2,25,1,8,3,24,1,10,1,24,1,12,2,10,1,24,1,10,1,24,3,12,1,8,1,13,1,30,1,29,1,28,1,30,1,28,13,30,1,29,1,30,4,29,1,30,1,29,1,28,1,29,1,6,2,30,1,29,1,28,1,29,1,25,1,30,2,25,1,26,2,25,1,8,1,25,3,12,1,8,1,25,2,8,1,24,1,9,1,12,1,10,2,8,1,12,1,17,1,10,1,11,1,12,1,9,1,17,1,9,1,8,1,9,1,13,2,9,3,10,1,12,1,11,2,12,1,10,1,12,2,11,1,12,1,11,1,12,2,11,1,10,2,11,1,10,1,9,1,11,4,10,1,11,1,10,1,12,1,9,1,11,2,9,1,11,1,12,1,11,1,9,1,17,1,11,1,9,1,16,1,9,1,13,1,16,1,13,1,11,1,9,1,8,2,17,1,9,1,16,1,13,1,11,1,9,1,11,2,16,1,9,2,16,1,11,3,16,1,11,2,17,1,10,1,9,1,16,1,11,1,9,2,16,1,9,4,8,1,9,3,6,1,9,1,13,1,9,3,16,1,11,1,9,1,8,1,9,1,12,1,8,1,9,1,13,1,9,1,8,1,9,1,13,1,10,2,11,2,17,7,12,1,17,1,11,1,12,1,17,3,11,2,12,3,24,1,12,1,17,1,12,1,17,3,12,1,17,2,9,1,17,2,9,1,17,2,10,2,9,1,10,1,9,1,10,2,9,1,10,1,11,1,10,3,8,1,10,2,24,1,10,1,12,1,17,1,8,1,24,2,8,1,9,1,8,2,24,1,8,1,12,1,24,1,10,1,7,1,10,1,13,1,8,2,9,1,7,1,17,2,10,1,8,1,9,1,8,2,24,3,8,1,13,3,6,1,8,1,6,1,8,1,13,1,10,1,24,1,12,1,8,1,24,1,10,1,8,1,24,1,8,4,9,1,12,1,8,1,24,1,10,1,9,1,10,1,12,1,24,1,10,1,17,1,10,3,24,1,10,2,8,1,10,1,9,1,10,1,9,2,8,1,9,1,12,2,10,1,17,1,12,1,9,1,24,1,12,2,11,1,17,2,10,1,17,4,11,1,17,8,12,1,17,5,9,1,29,1,28,3,30,1,28,3,6,1,28,5,12,1,17,2,12,1,17,1,24,1,8,2,9,1,13,1,8,1,7,1,6,1,29,1,6,1,30,1,6,1,30,1,13,1,24,1,13,1,24,2,9,1,15,1,11,1,12,2,7,1,28,7,13,1,8,3,7,1,28,32,30,1,28,1,30,1,16,1,17,1,9,1,8,1,13,1,8,1,9,1,24,2,9,1,6,1,30,1,6,1,29,1,30,1,6,1,13,2,8,1,9,1,11,1,9,1,28,5,13,1,9,1,8,1,29,1,28,4,30,1,28,1,8,1,13,1,24,1,17,3,8,1,6,2,30,1,29,2,24,1,10,1,9,1,6,1,28,2,30,1,9,1,8,1,7,1,28,48,6,1,24,1,9,1,6,1,28,7,}, {28,15,30,2,6,1,29,1,6,1,30,2,6,1,28,1,13,3,29,1,28,5,30,3,28,11,12,1,10,2,12,1,9,1,6,1,28,9,13,1,8,1,9,1,13,1,28,5,30,1,8,2,29,1,7,1,6,1,13,1,28,8,30,1,6,1,9,2,8,1,28,45,30,1,28,1,30,1,28,1,8,1,24,1,15,1,29,1,28,2,30,2,24,1,9,1,8,1,30,2,28,1,29,1,6,2,30,1,6,1,28,8,30,1,6,1,13,1,6,1,28,6,6,1,10,1,8,1,6,2,29,1,13,1,6,1,8,1,24,1,12,2,24,1,12,1,10,1,24,2,6,1,13,1,28,1,30,1,6,1,28,36,30,1,28,3,29,1,8,2,13,1,30,1,28,3,6,1,13,1,24,1,8,2,6,3,7,1,30,1,6,1,13,1,30,1,6,1,13,1,29,1,13,2,30,2,6,1,7,1,12,1,8,1,13,1,24,1,10,1,9,1,10,1,8,1,14,2,9,1,28,94,30,1,28,2,30,1,28,18,30,1,28,1,30,3,29,1,6,2,13,1,30,1,6,1,30,2,6,2,13,1,29,1,30,2,29,1,28,1,30,1,28,1,6,2,7,1,6,1,29,1,8,1,7,1,6,1,8,1,28,1,13,2,30,1,7,2,6,2,8,1,6,1,8,1,9,4,11,1,6,1,30,1,28,1,13,1,6,1,13,2,30,1,7,1,28,1,29,1,30,1,29,1,28,1,13,1,30,2,7,1,6,1,29,1,6,1,29,1,13,1,29,2,28,1,29,1,30,2,28,1,6,1,29,1,6,1,13,1,10,1,17,8,11,1,16,2,11,1,16,1,11,1,16,1,11,1,16,4,11,1,17,1,11,1,9,2,11,1,9,3,10,1,11,2,10,2,9,2,11,1,9,6,8,1,9,1,8,1,9,1,8,2,13,3,7,1,13,2,7,1,13,5,6,1,13,4,30,1,29,1,30,1,7,1,6,1,29,1,30,1,6,1,29,2,30,3,29,1,6,1,30,2,28,43,17,1,11,2,17,7,16,2,9,1,12,1,11,1,8,1,9,1,8,1,9,1,8,1,6,1,24,1,6,1,13,1,6,1,13,1,8,1,29,1,6,1,29,1,6,1,30,1,29,1,7,1,29,1,30,2,7,1,30,1,6,2,30,1,13,1,28,1,29,1,7,1,30,1,28,9,30,1,29,1,30,1,6,6,7,1,6,1,7,1,29,1,13,1,6,1,29,1,30,3,29,1,30,1,13,1,30,1,29,2,13,1,6,2,8,1,13,2,11,1,16,2,11,1,17,1,16,2,11,1,17,2,16,3,17,1,16,1,9,2,6,1,13,1,6,3,29,1,13,1,6,2,30,1,6,3,29,2,6,1,8,1,6,2,29,1,6,3,28,1,6,1,28,2,7,2,13,1,6,1,13,1,6,1,7,1,6,2,7,1,13,1,8,1,7,1,13,1,29,1,6,2,29,1,6,1,30,1,6,1,29,1,28,3,30,2,28,8,29,1,30,1,28,2,30,1,28,3,30,1,28,8,29,1,28,2,30,1,7,2,6,4,28,2,30,3,6,1,8,1,10,1,13,1,9,1,8,1,13,1,7,1,13,1,8,3,24,1,10,1,8,1,9,1,24,1,6,2,13,1,6,1,13,1,6,1,29,1,6,1,7,1,13,1,6,2,13,3,6,1,13,3,29,1,7,1,28,1,6,2,28,1,13,1,30,1,28,3,30,1,28,1,30,1,6,1,28,1,29,1,30,2,6,1,28,1,13,1,30,1,28,1,6,1,29,1,28,1,6,1,30,1,7,1,8,1,13,1,6,2,13,2,8,1,13,1,8,1,9,2,8,1,17,1,11,2,16,1,17,2,16,3,17,1,16,2,9,1,11,2,9,1,10,1,8,1,13,1,6,2,9,1,11,2,9,1,13,1,6,1,13,2,9,1,6,1,30,1,6,2,9,2,11,1,12,1,17,1,9,1,8,1,9,1,13,6,8,1,13,1,11,1,9,1,13,1,9,1,13,2,6,1,9,4,8,1,9,1,11,3,16,1,9,2,11,3,16,1,9,1,11,1,16,1,11,2,17,1,11,1,17,2,11,1,28,5,29,2,28,2,6,1,7,1,6,1,13,3,11,1,13,3,7,2,6,1,13,7,6,3,13,1,7,1,13,3,6,1,13,6,6,1,13,4,6,1,13,2,29,1,13,1,7,1,13,3,6,1,13,1,7,1,6,1,7,1,6,3,30,1,13,1,6,1,7,1,13,3,6,1,13,3,7,1,13,3,9,1,13,3,8,1,13,1,7,1,13,2,6,1,13,4,6,1,8,1,13,3,7,1,13,1,6,1,13,4,7,1,13,2,7,1,9,1,6,1,13,6,6,3,13,3,7,1,13,2,7,1,6,1,13,5,7,1,13,1,6,1,13,1,6,4,30,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,8,1,13,1,29,1,13,1,6,1,13,1,6,1,13,1,6,2,13,6,6,1,13,2,6,1,13,1,6,1,13,15,6,1,13,2,6,2,13,1,6,1,13,5,6,1,13,8,7,1,13,2,6,1,13,2,6,1,13,1,6,2,13,2,7,1,13,3,6,2,7,1,13,1,6,2,13,1,6,1,7,1,6,1,13,1,7,1,13,3,6,1,13,2,7,1,30,1,13,1,6,4,13,3,29,1,13,1,30,1,7,1,13,1,6,1,30,1,6,1,13,2,6,2,13,1,6,2,7,1,9,1,6,1,13,2,6,3,13,1,7,1,13,1,6,2,13,5,6,2,13,4,6,1,13,1,6,2,13,6,6,2,13,1,6,1,13,1,6,1,7,1,13,2,6,1,13,1,6,1,29,1,13,7,9,4,13,1,8,3,13,2,9,1,13,1,8,1,13,1,8,2,11,1,9,1,13,1,6,2,13,1,6,1,30,1,13,1,7,1,13,2,7,1,8,1,13,5,6,1,13,1,6,1,13,1,6,1,13,3,6,1,7,1,13,3,7,1,6,1,13,5,7,1,13,2,7,1,13,1,8,1,13,2,9,1,6,1,30,2,7,1,13,1,29,1,6,3,30,1,13,3,6,5,7,1,13,2,6,1,13,1,6,1,13,2,29,1,13,3,6,1,13,4,6,1,13,2,6,1,7,1,13,1,7,1,13,4,7,2,13,1,6,3,7,1,29,1,7,1,13,1,30,1,13,3,6,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,6,2,13,6,7,1,6,1,13,1,30,1,6,1,7,1,13,1,6,1,13,1,6,6,13,1,6,1,13,2,6,1,13,1,6,1,30,1,7,1,6,1,13,1,6,1,30,1,6,1,7,2,13,2,30,1,6,1,13,3,6,2,13,6,6,1,13,1,8,1,13,1,7,1,30,1,28,17,29,1,8,2,24,1,12,1,9,2,10,2,17,8,12,1,17,2,8,1,30,1,28,6,30,1,28,3,30,1,29,1,6,3,8,2,13,1,9,1,8,1,12,3,17,1,10,1,17,1,11,1,7,1,6,2,13,1,30,3,6,2,30,2,6,2,30,1,6,12,30,1,29,1,6,1,30,1,6,1,30,3,28,8,13,1,12,1,17,2,12,2,17,15,12,4,10,1,12,2,17,1,12,1,17,1,12,1,17,1,10,1,12,1,10,2,12,1,24,1,17,1,12,2,10,1,24,1,12,1,17,2,12,1,17,1,24,1,10,1,24,1,12,1,10,1,12,1,24,1,12,1,8,1,12,3,9,2,12,2,17,1,12,2,24,1,12,2,10,1,12,4,10,1,9,1,17,3,13,1,28,16,30,1,28,5,30,1,28,3,30,1,28,1,30,2,28,3,30,1,28,1,30,1,28,2,30,1,28,3,30,1,29,1,30,2,6,1,30,2,28,1,30,5,29,1,6,1,29,1,13,1,6,3,30,3,13,1,28,1,6,4,7,1,30,1,8,1,9,1,13,1,8,1,24,1,10,1,8,2,25,1,7,1,8,1,6,1,25,1,6,1,25,1,7,2,13,1,29,1,30,2,28,1,29,1,6,1,8,1,30,1,6,1,30,1,29,1,7,1,30,1,7,1,30,1,29,1,30,1,7,1,8,1,28,1,30,1,6,1,28,1,6,2,28,1,30,1,28,1,29,1,26,1,30,1,26,1,8,1,30,1,25,1,7,1,8,3,13,1,12,2,8,1,24,1,8,1,24,2,10,1,8,1,12,1,8,2,10,1,13,1,10,1,24,2,12,1,24,1,10,1,12,1,24,2,10,1,24,3,8,1,24,1,8,2,6,2,24,1,25,1,7,1,24,2,8,1,25,2,7,1,10,1,8,1,24,2,8,1,24,2,12,1,24,1,12,1,24,1,17,1,12,1,24,1,8,1,7,1,28,4,29,1,28,1,30,1,28,6,29,1,30,1,28,1,29,1,30,2,29,1,28,1,29,1,28,5,6,1,29,3,6,1,28,1,25,1,27,1,28,1,25,1,8,1,25,1,29,1,26,1,25,2,8,2,25,1,24,1,25,1,24,1,13,1,24,1,13,1,10,1,9,1,12,1,11,1,9,1,12,2,9,1,17,1,10,1,12,2,8,1,9,2,7,1,6,1,13,1,8,1,9,3,12,2,11,2,12,1,17,1,10,1,12,1,10,1,11,5,10,1,9,1,10,2,12,1,11,1,9,1,11,1,12,1,11,3,12,1,11,1,12,1,11,1,12,1,10,1,17,1,8,1,11,3,8,1,9,1,13,1,11,1,9,2,16,1,11,1,16,1,11,2,9,1,8,1,9,1,17,1,16,1,17,1,16,1,11,1,16,1,11,1,17,1,16,1,11,2,9,1,16,1,11,1,16,1,9,1,8,1,9,1,17,1,10,1,11,1,9,1,10,2,8,1,9,2,17,1,8,1,9,1,11,1,9,4,17,1,10,1,16,1,8,1,13,1,11,1,17,1,9,1,11,1,12,1,11,1,17,1,11,1,12,1,16,1,17,3,11,1,17,1,12,1,17,1,12,1,17,3,24,1,17,5,12,3,9,1,17,1,24,1,12,1,17,1,10,1,17,1,11,1,17,1,9,1,17,1,12,1,17,1,10,1,17,1,12,1,17,1,24,2,7,1,9,1,24,1,17,1,24,1,12,1,10,1,9,1,12,1,24,1,10,1,24,1,13,1,12,2,24,1,8,2,24,3,8,1,24,2,8,1,24,1,8,2,10,2,24,2,12,2,24,2,12,1,8,1,12,1,8,3,24,1,7,2,8,1,6,1,24,2,8,2,13,1,24,2,13,1,8,1,9,1,24,1,10,2,24,1,8,1,12,1,9,1,8,1,10,1,24,1,9,1,10,1,24,1,8,1,12,1,13,1,12,1,10,1,8,1,13,1,10,1,24,1,10,1,24,1,12,1,8,2,24,1,12,1,9,1,8,2,10,1,9,1,24,1,10,1,9,1,24,1,10,1,17,1,11,1,24,1,17,2,12,1,11,1,17,2,12,1,17,2,11,1,17,1,12,1,17,2,11,1,17,10,8,1,28,5,30,1,28,6,6,1,12,1,17,1,12,2,17,1,9,1,24,1,8,2,13,1,8,1,29,1,6,2,29,1,6,2,7,1,13,1,8,2,15,1,11,1,15,1,14,1,10,1,17,2,13,1,28,7,8,1,11,1,24,1,13,1,30,1,29,1,28,32,30,1,6,1,10,1,17,1,9,1,8,2,7,1,24,1,10,1,8,1,12,1,13,1,29,1,30,3,29,1,13,2,8,1,10,1,8,2,28,5,13,1,12,1,8,1,6,1,28,4,29,2,8,1,7,1,10,2,15,1,8,1,10,1,13,1,7,1,6,1,29,1,8,4,7,1,28,3,8,1,10,1,13,1,28,48,6,1,17,1,9,1,24,1,6,1,28,6,}, {28,13,30,3,28,11,6,1,13,1,6,1,30,1,28,1,30,2,28,13,13,1,17,1,11,1,9,1,8,1,29,1,28,9,6,1,9,1,24,1,13,1,28,6,7,1,9,1,13,1,29,1,6,1,28,10,29,1,8,1,17,1,6,1,28,44,30,1,28,1,30,1,28,2,8,1,24,2,30,1,28,1,30,1,28,2,13,1,8,1,29,1,30,2,8,1,30,2,28,1,6,1,29,1,28,7,30,1,28,2,24,1,8,1,29,1,28,6,17,1,8,1,7,1,13,1,6,3,13,1,9,4,8,1,15,1,12,1,13,1,6,1,29,2,7,1,6,2,28,36,29,2,30,1,29,1,24,1,13,2,28,4,30,1,24,1,8,2,13,2,6,1,7,1,6,1,29,1,13,1,29,2,30,1,6,3,29,2,6,1,7,1,6,1,13,1,9,1,8,1,9,2,8,1,24,1,15,1,14,2,8,1,30,1,28,113,30,2,28,2,30,1,28,3,6,1,30,1,28,1,6,1,28,1,30,1,13,1,30,2,28,1,30,1,7,1,30,1,6,1,30,1,6,1,30,1,13,1,6,1,29,1,6,1,30,2,29,1,6,3,13,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,9,1,13,1,8,2,9,1,13,1,9,3,6,2,7,1,8,1,13,2,6,3,30,1,13,1,30,4,13,1,6,1,7,1,13,1,6,4,30,3,7,1,6,1,13,2,11,1,17,7,11,5,16,2,11,1,16,3,11,1,16,1,11,2,16,2,11,4,10,1,11,5,9,7,11,1,9,1,10,1,9,3,13,2,9,1,13,1,6,1,8,1,6,1,28,1,30,1,29,1,7,1,29,1,6,1,13,3,7,1,6,1,13,1,30,1,13,1,6,2,30,1,6,2,30,1,6,1,30,1,6,1,28,1,6,2,29,2,13,1,7,1,28,43,6,1,12,1,17,3,9,1,17,5,11,1,16,1,10,1,9,2,8,1,10,1,8,2,9,1,13,1,24,1,30,1,13,1,6,2,13,1,30,1,29,1,13,1,28,1,6,1,30,3,6,3,30,1,28,1,7,1,28,1,6,1,30,1,28,1,13,1,28,1,30,1,29,1,28,6,30,1,28,2,13,1,6,1,13,6,6,2,13,1,6,2,30,2,6,1,28,1,30,1,6,1,28,1,6,1,29,1,6,1,13,2,11,2,16,1,17,6,16,1,17,8,16,1,17,1,16,2,13,1,9,1,13,2,6,1,7,1,29,1,13,1,6,1,28,1,13,1,30,1,13,1,29,1,30,1,8,1,7,1,29,1,6,1,29,1,6,1,29,2,28,1,6,2,29,1,7,2,8,1,7,2,13,1,7,1,6,2,30,1,7,1,6,1,7,1,13,1,6,1,28,1,6,1,30,3,28,2,6,1,28,1,29,1,28,3,30,2,28,3,30,1,28,1,30,1,28,1,30,1,28,3,30,1,28,10,30,1,28,1,29,1,6,1,7,1,6,1,13,1,29,2,28,1,29,2,30,1,28,1,7,1,8,1,13,2,9,2,13,1,9,1,8,3,24,1,13,1,8,1,13,1,8,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,28,1,30,4,6,1,30,1,6,2,8,1,9,2,16,1,10,2,9,1,13,3,7,1,29,1,6,1,30,1,6,1,7,2,28,1,6,1,30,1,28,1,6,1,30,2,13,1,30,1,9,1,13,3,9,2,16,1,9,2,16,2,10,1,9,1,16,1,9,1,16,1,11,3,10,1,11,1,16,1,11,3,16,1,10,1,16,2,11,1,10,1,9,1,11,1,9,1,8,1,9,1,8,1,13,1,6,1,9,2,11,1,9,2,8,1,30,1,7,1,6,1,13,1,6,4,16,1,9,1,10,1,17,1,10,1,9,1,11,1,13,1,9,1,13,2,7,1,13,1,8,1,13,1,9,2,13,1,9,1,13,1,6,1,13,1,9,2,13,1,9,1,8,1,16,1,8,1,9,1,16,1,11,1,9,4,16,1,11,2,17,1,16,7,11,1,28,5,6,1,30,1,13,1,6,1,29,1,6,1,13,1,6,2,7,1,11,1,13,1,9,1,6,1,13,4,6,1,13,2,6,1,7,1,13,5,7,1,13,2,6,1,13,2,6,1,13,1,7,1,13,1,6,2,13,2,6,2,13,9,6,1,7,1,13,1,6,1,7,2,13,1,6,1,13,1,8,1,13,2,7,1,13,1,6,1,13,1,6,2,13,1,7,1,13,1,6,1,13,1,8,1,13,11,6,1,8,1,13,1,6,1,13,1,6,2,13,1,6,1,13,5,9,1,6,1,7,1,13,5,8,1,13,6,6,2,7,1,13,1,6,2,13,1,6,1,7,1,13,2,11,1,13,5,30,1,13,1,6,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,6,1,7,2,6,2,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,3,13,2,6,1,13,1,6,1,7,1,13,5,6,1,13,4,8,1,13,1,6,1,13,2,7,1,13,9,6,1,13,1,6,1,13,3,6,1,13,4,6,1,13,1,7,1,6,1,13,2,7,1,13,7,6,2,13,3,9,1,13,3,6,1,13,1,29,1,13,3,6,1,13,1,9,1,13,1,7,1,13,1,6,1,13,2,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,3,13,2,6,1,13,1,6,1,13,4,6,1,13,3,6,1,13,3,6,1,13,1,6,3,13,2,7,1,13,7,9,1,6,1,13,2,8,1,13,2,6,1,30,1,6,2,7,1,6,1,7,1,13,2,6,2,13,2,6,1,7,1,6,1,13,1,6,1,13,1,6,1,13,2,7,1,6,1,30,1,7,1,6,1,13,1,10,1,9,2,8,1,9,5,8,1,9,1,8,1,9,5,6,3,13,4,6,1,13,1,6,1,13,1,7,1,6,1,13,2,6,1,13,1,6,2,7,1,13,1,6,1,7,1,13,1,6,1,29,1,6,1,7,1,13,2,6,1,13,2,6,1,13,2,7,1,13,1,6,2,13,1,7,1,6,1,13,3,6,1,30,1,13,1,6,1,13,1,6,1,13,2,6,1,13,4,6,1,13,2,6,2,13,1,6,1,13,3,7,1,6,1,7,2,13,2,6,1,13,1,6,1,9,1,13,3,7,1,6,3,13,1,6,2,13,2,6,1,7,1,13,2,6,2,13,3,7,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,6,2,13,1,6,2,8,1,6,2,13,1,6,1,13,1,30,1,6,1,13,1,29,1,13,1,6,1,13,1,6,1,13,3,6,5,29,1,7,1,30,1,13,1,6,9,13,3,6,1,30,1,6,2,7,1,13,1,6,3,13,3,6,1,13,1,6,1,13,3,6,1,7,1,8,1,13,3,28,17,9,1,12,1,10,2,17,1,12,3,17,9,12,1,17,1,9,1,30,1,28,11,30,2,6,2,7,2,24,2,10,1,12,1,10,3,12,1,17,2,8,1,6,3,29,1,6,3,29,1,6,4,7,1,6,3,29,1,6,2,30,3,29,1,30,2,6,1,29,1,30,1,6,1,13,1,30,1,6,1,28,4,13,1,8,2,17,2,12,1,10,1,12,1,11,2,17,1,12,2,17,12,12,1,17,2,12,1,17,1,12,1,10,1,12,1,17,3,12,1,17,2,12,1,10,1,9,1,12,1,10,2,17,1,12,1,17,4,12,1,17,1,12,1,10,1,8,2,9,1,12,1,17,1,10,1,12,4,9,2,17,1,12,1,10,2,17,1,10,2,12,1,10,1,17,1,10,2,9,1,12,1,9,2,17,2,9,1,6,1,28,45,30,4,28,1,30,1,6,1,30,1,6,4,30,1,29,1,30,1,13,1,28,2,6,2,30,2,28,1,30,1,6,3,30,1,11,1,9,1,8,1,7,3,25,1,24,1,8,1,7,1,13,1,25,1,7,1,30,2,6,1,29,1,7,1,6,1,13,1,6,3,7,1,30,1,6,1,28,1,6,1,28,1,7,1,6,1,30,3,6,1,30,1,7,1,6,1,29,1,6,1,30,1,6,2,28,1,30,2,26,1,25,1,29,1,26,1,30,1,8,1,25,1,6,1,25,1,8,2,24,2,17,1,24,2,10,1,24,2,17,1,24,1,10,2,24,1,10,1,12,1,10,1,8,1,17,1,10,1,12,1,17,1,24,2,12,1,24,2,7,1,12,1,8,2,25,1,24,1,8,4,24,1,8,1,25,1,24,1,8,1,24,1,8,1,17,1,24,4,10,1,12,1,24,2,10,1,12,1,17,1,10,1,6,1,7,1,29,1,28,1,30,1,28,3,30,2,28,3,30,1,28,1,30,2,29,1,28,4,30,1,28,1,29,1,28,1,6,1,28,1,6,1,30,1,27,1,30,2,28,1,30,1,29,1,28,1,27,1,25,1,26,1,25,1,27,1,25,3,27,1,24,1,26,1,8,1,24,1,6,1,24,4,10,1,12,2,9,1,11,1,12,1,17,1,9,1,12,2,17,1,11,1,8,2,13,4,29,1,11,1,10,2,8,2,17,1,9,2,11,1,10,1,11,2,12,2,10,3,11,2,10,1,11,2,10,2,11,1,9,1,11,5,12,1,11,1,12,1,9,1,11,1,9,1,11,2,9,1,8,1,9,4,11,1,9,2,11,3,16,1,9,1,16,1,11,3,16,3,11,1,17,1,11,1,17,1,9,1,11,2,17,3,11,1,16,2,11,1,17,2,11,1,17,1,9,1,17,2,12,1,9,1,10,1,11,1,17,7,12,1,17,4,12,1,17,2,12,1,17,3,11,1,17,4,12,1,17,1,10,1,12,1,17,2,12,2,11,1,17,1,9,2,17,1,24,1,17,1,24,1,12,2,17,1,12,1,17,1,9,1,17,1,9,1,12,1,9,1,8,1,17,2,8,1,12,2,24,1,12,1,10,2,24,1,12,1,24,1,9,1,13,1,10,2,8,2,12,1,13,1,10,1,8,1,13,1,24,2,13,1,9,2,13,1,12,1,8,2,9,1,8,2,24,1,8,1,9,1,12,1,8,1,24,1,10,1,8,1,9,1,12,1,17,1,8,1,10,1,8,1,24,1,6,1,24,1,12,1,8,1,24,1,13,1,24,1,8,1,24,1,8,1,24,2,13,2,8,1,7,1,10,1,24,1,9,1,8,1,10,1,12,1,7,1,9,1,24,1,17,1,24,2,12,1,10,1,24,1,17,1,10,1,8,1,9,1,8,1,10,1,29,1,24,1,10,1,12,1,7,1,8,2,24,1,12,1,8,1,12,1,8,2,24,1,10,1,8,1,17,1,24,1,12,1,17,1,12,1,17,1,12,1,17,2,12,2,17,1,12,1,17,2,12,2,17,1,12,1,17,8,11,1,8,1,28,12,30,1,16,1,11,1,12,1,10,1,17,1,10,1,8,2,24,1,6,1,7,1,6,1,13,1,6,1,29,1,13,4,24,1,9,1,8,1,9,1,10,1,14,1,17,2,11,1,6,1,28,7,13,1,17,1,8,1,7,1,13,1,28,32,30,2,13,1,10,1,17,1,12,1,9,1,13,1,8,1,9,1,12,1,9,1,8,1,29,1,7,1,28,1,30,1,29,1,30,1,8,2,10,1,17,1,12,1,8,1,28,4,6,1,30,1,17,1,8,1,6,1,28,5,29,1,13,1,8,1,9,1,24,2,11,1,9,1,13,1,7,1,29,1,6,1,13,1,9,1,17,1,24,1,7,1,28,2,30,1,6,1,17,1,8,1,28,47,29,1,13,1,17,1,10,1,6,1,28,7,}, {28,12,6,1,28,18,6,1,13,1,29,1,28,13,12,2,9,1,13,1,24,1,7,1,28,4,30,1,28,3,30,1,6,1,9,1,15,1,8,1,28,6,13,2,8,1,13,1,30,2,28,2,30,1,28,7,17,1,10,1,13,1,28,23,30,1,28,20,30,1,28,3,29,1,6,1,14,1,8,1,28,4,29,1,8,1,24,1,13,1,6,1,28,3,6,1,30,2,6,1,30,1,28,8,29,1,9,1,30,1,6,1,28,5,6,1,11,1,6,1,13,2,6,3,24,1,8,1,24,3,12,1,9,1,24,2,6,3,29,1,7,1,6,1,30,1,28,31,30,1,28,5,6,2,8,1,13,1,28,1,30,1,28,3,29,1,24,1,10,1,9,1,8,1,13,1,8,1,24,1,6,2,29,1,28,1,6,1,7,2,29,1,6,1,28,2,6,1,29,1,6,1,8,1,9,2,24,1,8,1,24,2,9,1,14,2,9,1,6,1,28,5,30,1,28,28,30,1,28,79,30,1,28,3,30,1,28,1,7,1,28,1,6,1,29,2,30,2,28,1,30,1,28,1,7,1,6,1,28,1,6,1,28,1,6,1,7,1,29,1,7,3,6,1,7,2,13,1,6,1,13,1,6,2,13,1,30,1,6,1,13,1,29,1,13,1,7,1,13,5,9,1,8,3,29,1,6,1,13,4,7,1,29,1,13,1,28,1,6,1,30,1,13,1,6,1,28,1,29,1,6,1,13,1,7,1,6,1,13,1,6,1,30,1,13,1,30,2,7,1,13,1,8,1,16,1,17,5,16,1,11,1,16,1,9,1,16,1,11,1,16,1,11,1,16,2,11,1,17,1,16,1,11,2,9,1,16,1,10,1,16,1,11,1,16,1,11,2,10,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,9,1,10,1,9,2,10,1,8,2,9,1,8,1,13,4,6,2,13,1,6,1,28,1,6,1,30,1,28,1,6,1,28,1,13,2,7,1,13,1,29,1,6,3,30,3,6,1,28,1,30,3,6,2,8,1,30,1,29,1,7,1,6,1,30,1,28,43,24,1,17,1,12,1,17,1,12,2,17,4,11,1,17,1,16,1,11,2,9,2,8,1,13,1,9,1,13,2,8,1,7,2,30,1,6,1,8,1,28,1,30,1,6,1,28,1,29,1,6,1,28,1,7,1,29,1,30,1,6,1,7,1,29,1,28,2,30,1,6,3,28,2,30,1,28,6,29,1,28,1,13,1,30,1,28,1,6,1,8,1,29,1,9,1,13,1,6,1,13,3,6,1,13,1,6,1,13,1,28,1,6,1,7,1,13,3,10,1,11,2,17,8,16,1,17,8,16,1,17,5,16,2,11,1,9,1,6,1,7,1,6,2,13,1,6,1,7,1,6,1,13,1,30,1,29,1,6,1,13,1,7,1,6,2,29,1,28,2,6,1,28,1,30,1,28,1,29,1,28,2,13,1,7,1,13,1,7,1,13,1,6,1,13,2,6,2,30,1,8,1,30,1,29,1,28,5,29,1,30,1,28,2,30,4,28,1,30,1,28,11,29,1,28,8,30,1,6,1,7,3,29,1,13,1,28,1,30,1,28,1,29,3,6,2,8,1,13,4,6,1,13,1,7,1,13,2,9,1,6,1,8,1,13,3,30,2,29,1,28,1,29,1,28,1,30,1,28,7,29,1,28,1,30,1,13,1,16,2,17,6,16,2,11,1,10,1,13,6,8,1,7,1,9,2,11,1,9,1,16,1,11,1,9,1,17,1,11,1,16,3,17,1,16,4,11,2,16,3,17,1,16,1,17,5,16,1,11,1,16,1,9,1,10,1,11,1,9,4,8,1,11,1,8,1,13,1,9,3,11,1,9,1,13,5,6,1,13,1,30,2,10,1,16,1,9,1,17,1,9,1,13,1,11,1,13,3,8,1,13,4,9,2,13,1,11,1,13,1,6,1,13,1,9,1,11,1,9,1,13,1,9,2,16,1,9,6,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,13,1,28,4,30,1,28,1,30,1,6,2,13,1,6,3,13,1,30,1,13,1,8,1,6,1,7,1,13,1,6,1,13,3,6,3,13,1,6,1,13,2,6,1,29,1,13,2,6,1,13,2,6,1,13,1,7,1,6,1,13,1,6,1,13,5,6,1,13,3,6,2,13,1,7,1,6,1,13,2,6,1,13,6,6,1,13,2,28,1,13,1,6,1,13,2,6,1,13,1,29,1,7,1,13,11,6,1,13,6,6,1,13,2,6,1,13,3,6,1,13,2,8,1,13,2,8,1,13,1,9,1,13,1,6,1,13,1,6,1,13,4,6,1,13,1,6,1,13,1,6,3,13,1,30,1,6,2,13,5,6,1,13,5,7,1,6,1,13,1,28,1,13,2,30,1,13,1,6,1,7,1,13,3,7,2,13,1,6,1,13,1,6,1,13,2,7,2,13,6,6,1,13,1,6,2,13,5,7,1,13,3,6,1,13,1,6,1,13,6,6,1,13,2,7,1,13,2,6,1,13,1,7,1,13,3,6,1,13,1,7,1,13,1,6,2,13,1,6,1,7,1,30,1,6,1,29,1,7,1,13,1,7,1,6,2,13,2,30,1,13,1,6,1,8,1,13,1,6,2,13,1,6,3,13,1,7,2,13,3,6,1,29,1,13,1,6,1,13,1,7,1,6,1,13,1,30,1,13,1,6,2,30,1,6,1,13,2,6,2,13,1,6,1,7,1,13,2,6,2,13,2,6,1,13,3,7,1,6,2,13,2,6,2,13,1,6,1,13,1,30,1,13,2,9,2,13,4,6,1,9,1,13,7,7,1,13,1,6,1,13,3,6,1,13,1,6,2,7,1,6,3,7,1,13,2,30,1,6,1,30,1,13,3,6,1,13,1,30,1,7,1,6,1,13,1,7,1,13,6,8,1,13,1,8,2,13,3,6,2,29,1,6,4,7,1,30,1,6,1,13,1,6,1,13,3,6,4,29,1,13,1,7,1,29,1,13,1,6,1,13,1,30,1,13,1,30,1,13,1,6,1,13,4,7,1,13,1,6,3,13,2,9,1,13,1,28,1,13,2,29,1,6,1,13,2,29,1,13,6,6,4,13,2,6,2,13,2,6,1,13,1,6,2,13,2,7,1,13,2,6,1,13,5,7,1,13,3,30,1,13,5,6,1,30,1,13,6,7,1,6,1,13,2,7,1,13,1,6,1,13,2,7,1,13,1,6,1,13,1,6,1,13,2,29,1,7,1,13,1,7,1,29,1,13,1,7,1,13,2,6,2,7,1,13,1,6,1,7,1,13,1,7,2,13,1,6,1,13,3,7,1,6,1,29,1,6,1,30,1,7,1,6,1,13,1,6,3,7,1,13,1,6,1,7,1,13,1,6,1,13,2,6,1,7,1,13,4,6,2,13,1,7,1,29,1,6,1,30,2,13,2,9,1,28,1,30,1,28,1,30,1,28,11,29,1,9,1,10,1,17,15,12,1,17,1,8,1,28,13,30,1,6,3,30,1,13,1,8,1,24,1,10,1,12,1,10,1,12,3,17,2,13,1,7,1,6,3,30,1,6,1,30,2,6,3,30,1,6,2,29,1,30,1,6,2,30,1,6,1,30,3,7,1,6,1,29,1,30,1,6,2,28,2,30,1,29,1,9,1,17,1,12,1,10,1,17,1,11,1,17,1,8,1,10,1,24,1,12,1,10,2,9,1,12,1,9,1,17,1,12,1,17,8,12,1,17,1,12,1,17,1,8,1,10,1,12,1,17,4,12,1,17,3,12,3,10,1,12,1,24,1,12,1,17,5,10,1,17,1,12,1,24,3,12,1,24,1,12,1,24,1,10,1,12,1,24,2,9,1,12,4,17,1,12,2,17,1,12,2,9,1,12,1,10,1,24,1,17,1,12,1,17,3,8,1,13,1,6,1,28,1,6,1,28,1,30,3,28,39,29,1,28,1,6,1,30,1,6,1,30,2,28,1,30,1,7,1,6,2,30,1,6,1,30,1,6,4,30,2,6,2,30,1,6,1,30,2,11,1,13,1,7,1,6,1,10,1,24,1,25,1,7,2,13,1,7,1,6,1,7,1,25,1,30,1,7,1,6,2,7,1,30,1,6,3,7,2,29,2,30,1,29,1,6,1,29,1,28,1,29,1,30,1,8,1,7,1,28,1,30,1,6,1,7,1,29,1,30,1,29,1,30,1,6,1,30,1,26,1,25,1,27,1,8,1,25,1,29,1,25,1,24,1,6,1,8,1,10,1,24,2,17,1,12,2,24,4,8,1,10,1,24,2,12,1,24,1,17,1,10,1,24,1,8,1,10,1,12,1,10,1,8,1,12,1,24,2,8,1,24,1,6,1,8,2,24,1,8,1,25,1,24,1,29,1,24,2,7,1,24,1,12,1,24,1,8,1,24,1,17,1,8,1,9,1,12,1,9,1,24,1,10,1,12,2,10,1,24,1,7,1,30,1,28,2,29,1,28,1,30,1,29,1,28,2,29,1,28,5,6,1,28,2,30,1,28,2,30,1,28,1,29,1,28,1,30,3,28,1,29,1,28,1,29,5,27,1,29,2,25,3,30,1,8,1,27,1,25,1,24,1,25,2,24,1,25,1,10,1,8,2,24,1,8,2,24,1,17,1,12,1,9,1,12,1,10,1,24,1,12,2,9,1,8,1,13,1,6,1,13,2,7,1,13,1,7,1,8,1,10,1,11,1,9,1,10,3,11,1,10,1,9,1,10,1,11,2,9,1,10,2,11,3,12,1,11,1,10,1,17,1,9,2,11,3,12,1,11,1,17,1,12,1,9,1,10,1,9,2,10,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,11,1,16,1,13,1,16,1,9,1,16,1,9,1,17,1,9,1,16,1,17,1,11,1,16,1,17,3,11,1,17,7,11,1,12,1,17,7,11,1,17,7,12,1,17,1,12,1,17,4,12,1,17,6,10,1,11,1,17,3,10,1,17,1,9,1,17,2,11,1,12,1,17,1,9,1,12,1,17,1,10,1,17,1,10,1,17,1,12,1,24,1,12,1,9,1,8,1,12,1,24,1,12,1,17,1,12,1,10,1,8,2,17,1,8,1,24,1,12,1,17,1,12,1,8,2,13,1,8,2,13,1,8,2,24,1,10,1,24,1,8,1,24,1,9,2,24,1,17,1,12,1,24,1,10,1,24,1,10,1,24,1,8,2,13,1,7,2,24,1,13,1,8,1,10,2,8,1,24,1,12,1,8,1,10,3,17,1,24,1,10,1,12,1,6,1,10,1,8,1,24,1,13,1,8,1,25,1,13,1,8,1,7,1,8,1,6,2,10,1,8,1,7,1,24,3,9,1,24,1,10,1,9,1,12,2,10,1,12,1,8,1,12,1,10,2,12,1,13,1,9,1,12,2,13,1,9,1,24,4,10,1,8,1,12,1,17,1,8,2,6,1,13,1,8,1,10,1,24,1,8,1,13,1,24,1,8,1,12,1,9,1,10,1,12,1,9,1,10,2,12,1,9,1,17,1,12,1,10,1,17,2,12,3,17,5,12,1,17,2,9,1,13,1,28,12,6,1,9,1,17,2,11,1,9,1,10,1,24,1,13,1,8,1,30,1,29,1,30,1,6,1,29,2,13,1,6,2,13,2,9,2,10,1,12,1,11,1,17,3,13,1,28,7,13,1,12,1,8,1,6,1,13,1,28,34,6,1,11,3,13,1,8,1,13,1,8,1,9,1,10,1,24,1,29,1,28,1,29,1,30,3,6,1,24,1,12,1,8,1,13,2,29,1,28,4,29,1,12,1,24,1,30,1,28,4,6,3,9,1,24,1,9,1,12,1,10,2,13,2,28,1,7,3,15,1,9,1,6,1,28,3,13,1,11,1,29,1,28,48,8,1,9,1,10,1,13,1,28,7,}, {28,9,30,2,29,1,28,19,13,2,30,1,28,13,11,1,12,1,24,1,10,1,8,1,13,1,28,8,30,1,7,1,24,1,15,1,13,1,29,1,28,5,13,1,24,1,13,1,6,1,29,1,13,1,28,10,17,1,12,1,7,1,28,47,29,1,30,1,28,1,12,1,24,1,6,1,28,3,29,1,8,1,24,1,7,1,29,1,28,1,6,1,28,1,29,1,30,1,6,2,29,1,28,8,6,2,13,1,28,1,30,1,28,4,30,1,15,1,11,1,13,1,7,1,6,1,7,1,6,1,8,2,9,2,8,1,9,1,17,1,9,2,29,2,6,4,28,37,30,2,6,1,24,1,8,1,29,2,28,3,30,1,10,1,9,2,24,1,8,1,13,1,8,1,6,1,7,1,13,3,6,3,28,1,30,2,28,1,13,1,6,1,8,4,7,1,10,1,24,1,9,1,14,2,9,1,28,94,30,1,28,18,30,1,28,10,30,1,28,1,6,1,28,1,30,1,6,1,28,2,6,2,28,1,30,2,7,1,13,1,7,2,13,1,29,1,10,1,6,1,29,1,13,1,29,1,6,1,7,1,6,1,30,1,8,2,6,1,8,1,13,3,7,1,13,2,8,3,9,1,13,1,6,2,13,2,6,1,13,1,6,1,30,1,6,1,30,1,28,1,7,1,29,1,30,1,6,1,30,2,6,3,13,2,9,1,13,1,9,1,16,2,17,5,16,2,11,2,16,1,11,1,16,2,11,1,16,1,11,2,17,1,11,3,9,1,11,1,9,1,11,4,16,1,9,1,11,1,9,1,11,4,9,6,8,1,11,1,9,2,8,1,9,1,13,1,8,1,13,3,28,1,7,1,30,1,28,3,30,1,28,1,30,1,29,1,30,1,6,1,7,3,6,4,7,1,28,1,6,3,30,1,6,1,7,2,6,1,28,2,9,1,13,1,28,43,30,1,17,1,11,1,17,2,16,1,17,1,12,1,17,1,16,3,12,1,9,1,12,1,10,1,9,1,13,1,9,1,24,1,13,1,8,1,13,1,8,1,13,1,7,1,28,1,8,1,29,1,6,1,29,1,28,2,30,1,28,2,30,1,28,2,30,1,28,1,6,1,30,2,7,1,29,1,6,2,29,1,30,2,28,6,7,1,9,1,13,1,11,1,17,1,11,2,9,1,11,2,8,1,13,1,7,1,9,1,13,1,9,1,13,1,9,1,13,1,11,1,13,1,9,2,11,1,9,3,11,1,16,1,17,3,16,1,17,4,16,1,17,1,16,1,17,2,16,1,17,3,16,1,17,6,16,1,11,1,9,1,8,1,6,1,13,1,29,1,30,1,7,1,29,1,6,1,7,1,6,1,30,1,6,2,28,1,6,1,28,3,30,2,28,1,30,1,6,2,29,1,28,1,7,1,29,1,13,1,6,2,7,1,6,1,13,1,29,1,6,1,7,1,6,1,30,1,6,2,30,1,28,3,30,1,28,19,30,1,28,2,30,2,28,2,30,1,28,1,6,1,30,2,7,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,13,1,29,1,13,1,8,1,13,1,8,1,29,1,6,1,13,2,8,2,13,1,7,1,28,1,30,1,28,3,30,1,28,7,30,1,28,3,30,2,6,1,8,1,17,1,16,1,17,1,16,1,17,12,11,1,17,1,16,1,17,4,16,2,17,1,16,1,17,2,16,3,17,1,16,5,11,4,17,2,16,1,17,6,11,1,16,1,9,1,11,1,9,2,10,1,9,3,13,2,8,1,10,1,9,2,13,4,8,1,6,1,13,1,6,1,13,1,9,2,17,1,16,1,17,1,9,3,13,1,9,2,13,1,8,1,9,1,13,2,10,1,13,3,6,1,13,3,9,1,13,2,9,7,11,1,9,1,10,1,11,3,16,1,9,1,16,3,11,1,9,1,28,5,30,1,6,1,13,1,30,1,6,2,13,1,6,1,28,1,6,1,13,1,9,1,13,5,6,3,13,6,6,1,13,1,6,2,13,2,6,1,13,1,6,1,13,1,7,1,13,2,6,1,13,6,30,1,13,1,6,1,13,2,7,2,13,1,6,1,13,1,7,1,6,1,7,1,13,2,6,2,13,1,7,1,13,1,7,1,13,1,7,2,13,1,7,1,13,2,6,1,13,1,6,1,13,13,6,3,13,1,6,2,13,2,6,1,13,1,7,1,13,4,8,1,13,4,6,1,13,6,6,1,13,3,6,1,13,1,29,1,6,1,13,1,6,2,13,3,8,1,13,2,6,3,13,3,6,1,13,1,6,1,13,3,6,1,13,1,6,1,13,4,6,2,13,1,6,2,29,1,30,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,4,7,1,6,2,7,1,13,7,8,1,13,8,7,1,13,3,6,1,13,2,6,1,7,1,13,1,6,3,13,1,6,1,13,1,6,4,13,3,6,2,13,2,29,1,7,1,13,1,6,3,13,2,6,4,13,1,6,1,13,1,6,2,8,2,6,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,6,5,13,1,6,3,30,1,13,1,6,2,7,1,6,1,13,1,6,1,13,4,7,1,6,2,13,8,6,1,13,4,6,2,13,2,8,1,13,1,7,1,8,1,13,4,8,1,13,2,6,1,13,1,8,1,13,6,6,1,13,2,7,2,6,1,13,2,6,1,13,1,6,3,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,30,1,6,1,13,1,30,1,6,2,30,1,6,1,13,1,6,1,13,1,6,1,30,1,13,1,6,2,13,1,6,2,30,2,6,1,29,1,6,9,29,1,7,2,6,2,13,1,6,3,29,1,13,4,6,1,13,1,6,4,13,3,6,4,13,1,7,1,13,1,6,1,13,1,6,1,7,1,13,4,6,1,13,1,6,1,7,1,6,1,7,1,6,1,29,1,13,1,30,1,13,6,6,2,13,1,6,1,13,1,8,1,13,7,7,1,13,1,7,1,6,3,13,2,6,1,13,2,6,1,13,5,29,1,6,1,13,3,6,3,13,6,6,2,13,2,6,1,13,1,6,1,7,2,13,4,6,4,13,6,6,1,13,2,6,1,13,1,6,3,13,2,7,1,13,1,6,3,13,1,6,1,13,3,6,3,13,6,6,1,30,1,6,2,30,1,13,1,28,3,29,1,17,1,12,1,13,1,24,1,13,1,8,2,13,1,28,3,30,1,13,1,10,1,12,1,17,11,12,1,17,2,12,1,17,1,12,1,28,14,29,1,30,2,29,2,8,1,24,2,9,1,17,1,9,1,17,1,12,1,11,1,17,1,11,1,13,3,29,1,6,2,30,1,6,5,30,1,6,1,30,5,6,2,30,1,6,4,28,3,6,1,8,1,11,1,17,1,10,1,12,1,9,1,10,2,8,1,10,2,12,1,9,1,12,3,10,1,17,1,10,1,12,4,17,1,12,2,17,1,12,2,17,1,9,1,12,2,17,1,12,2,9,1,12,1,17,3,12,1,10,1,17,1,9,1,17,1,12,2,17,2,9,1,17,1,12,1,17,1,12,3,24,1,17,1,12,2,10,1,12,1,24,1,12,1,8,1,12,1,10,1,12,2,24,1,17,2,9,1,12,2,10,1,17,1,10,1,24,1,12,3,10,1,12,1,10,1,9,1,11,1,17,2,29,1,13,1,6,1,13,1,29,1,6,1,13,1,6,1,13,1,6,2,13,1,6,7,30,3,6,1,29,1,30,1,28,1,30,1,28,24,30,2,28,1,6,1,30,1,6,1,29,1,30,3,6,1,30,1,13,1,30,1,6,1,30,4,6,2,29,1,30,1,13,1,17,1,8,2,6,1,13,1,25,2,8,1,13,1,7,2,8,1,29,1,30,1,7,1,13,1,29,1,7,1,30,1,6,2,30,2,28,1,30,1,28,1,7,1,30,1,6,2,29,1,6,1,8,1,7,1,29,1,6,1,7,1,6,2,28,1,7,1,6,1,25,1,28,1,30,1,26,1,30,1,25,1,6,1,27,1,29,1,8,3,7,1,24,4,12,3,9,1,24,1,9,1,24,1,17,1,12,1,8,1,24,3,10,4,12,1,24,3,12,1,10,1,12,2,8,1,10,1,12,1,6,1,8,1,24,2,8,1,25,1,8,2,7,1,24,1,8,1,12,1,10,1,24,1,12,1,24,1,12,3,10,1,17,1,12,1,24,1,12,1,13,1,30,1,29,3,28,3,30,1,6,1,30,1,28,2,29,1,28,2,30,1,29,1,28,1,30,1,28,5,30,2,28,1,29,1,28,1,30,2,6,1,28,1,6,2,28,1,6,1,29,2,25,1,27,1,25,1,27,1,25,1,27,1,26,1,27,1,25,3,24,1,8,1,25,1,24,1,13,1,24,2,12,1,10,1,24,1,11,1,12,1,10,1,17,1,11,1,9,1,10,2,9,1,13,6,6,2,30,1,11,1,10,1,17,1,11,1,10,1,11,1,12,1,9,1,10,1,9,1,11,1,10,4,9,1,11,5,10,1,9,2,10,2,11,1,12,1,11,1,12,1,11,2,9,1,11,1,17,1,11,2,13,1,16,1,11,1,10,1,16,1,9,1,11,1,9,1,11,1,16,1,11,1,9,2,17,3,11,1,16,1,17,3,12,1,17,16,12,2,17,1,12,2,17,1,11,1,12,1,17,1,11,1,17,1,11,1,12,1,11,1,12,1,17,2,12,1,9,1,17,1,9,1,12,1,11,1,12,1,17,1,11,3,17,4,11,1,17,2,11,1,12,2,17,1,10,1,9,1,17,1,9,1,12,1,24,1,12,1,10,1,12,2,9,1,17,1,9,1,24,1,17,1,8,1,10,1,17,1,10,1,12,1,9,1,17,1,24,1,10,1,13,1,9,1,13,1,8,1,12,1,8,1,12,1,13,1,9,1,13,1,12,1,8,1,10,1,9,3,24,1,10,1,9,1,24,2,8,1,24,1,10,1,12,2,13,1,10,1,8,1,9,1,24,1,9,1,10,2,12,1,8,1,24,1,8,1,13,1,24,3,10,1,7,1,24,3,8,2,24,3,8,1,24,3,8,3,9,1,24,1,30,1,24,1,13,1,10,2,24,1,9,1,24,1,13,1,17,1,12,1,17,1,9,1,10,2,24,1,8,1,9,1,24,2,8,2,9,1,10,1,12,1,8,1,24,2,13,1,24,1,10,1,12,1,8,1,7,1,24,1,9,1,10,1,7,1,13,1,8,1,24,1,13,1,12,1,10,1,9,1,17,2,11,1,10,1,17,1,12,1,10,1,9,1,17,1,10,1,17,2,12,1,17,4,12,1,17,1,12,1,9,1,28,12,6,1,12,3,17,1,12,1,9,2,8,1,6,1,13,1,29,1,30,1,28,2,30,1,29,1,7,2,6,1,8,2,10,1,15,1,14,2,17,2,12,1,7,1,28,7,8,1,9,1,8,1,6,1,7,1,28,34,8,1,14,1,9,1,8,3,7,1,9,2,15,1,8,1,7,1,6,1,28,1,6,1,28,1,30,1,6,1,13,1,10,1,17,1,9,1,6,1,28,5,13,1,9,2,30,1,28,4,6,2,8,2,24,1,9,2,12,2,8,1,13,1,6,2,8,2,12,2,6,1,28,3,6,1,10,1,29,2,28,47,13,1,17,1,9,1,8,1,28,7,}, {28,9,29,1,30,1,28,19,13,2,30,1,28,13,30,1,8,1,11,1,9,1,13,1,9,1,29,1,13,1,30,1,28,6,29,1,6,1,24,1,15,1,24,1,30,1,28,5,8,2,13,1,6,2,30,1,28,9,6,1,12,1,14,1,13,1,28,49,6,1,13,1,8,1,28,4,30,1,13,1,9,1,13,1,29,1,28,1,29,1,28,2,7,1,29,1,7,1,6,1,28,8,7,1,8,1,6,1,30,1,28,5,30,1,12,1,8,1,13,1,7,2,6,2,7,1,13,1,8,1,9,1,12,1,10,1,15,1,17,1,13,1,6,1,7,1,6,1,13,1,7,1,13,1,28,39,6,1,13,1,24,1,29,1,30,1,28,4,12,1,9,1,24,1,9,1,8,3,13,1,6,2,13,1,6,1,13,1,30,1,8,1,30,1,28,1,30,1,28,1,29,1,8,2,6,1,9,1,13,1,8,1,10,1,17,4,24,1,28,14,30,1,13,1,28,48,30,1,28,56,30,1,28,1,29,1,28,1,6,1,28,1,30,1,6,2,28,1,6,1,29,1,30,2,6,2,29,1,28,1,13,1,6,1,13,3,7,1,30,1,6,1,7,1,13,5,6,1,7,1,8,1,13,1,8,1,6,1,13,1,29,1,13,3,8,2,7,1,6,3,13,4,6,2,7,1,6,1,30,2,6,1,30,1,6,1,7,2,30,1,6,1,9,1,11,1,9,1,17,1,16,1,17,6,16,2,11,1,16,1,11,2,16,2,11,2,17,1,16,2,11,3,16,1,11,1,10,2,9,1,11,2,16,1,9,1,11,4,16,1,9,2,10,1,11,1,9,3,10,2,9,5,6,1,7,1,13,1,6,1,30,1,28,7,30,3,13,2,6,1,7,2,29,1,6,1,13,1,6,1,29,1,6,1,30,2,13,1,6,1,30,1,13,1,6,2,7,1,30,1,6,1,13,1,29,1,28,42,13,1,12,1,11,1,17,2,11,1,16,1,17,1,11,1,16,1,11,2,16,1,9,2,8,2,9,1,13,2,9,1,13,1,8,1,13,2,29,1,13,1,6,1,28,1,6,1,29,1,28,2,30,1,28,3,30,1,29,1,30,1,6,1,28,2,30,2,7,1,28,2,30,2,28,6,13,1,11,1,17,2,9,1,13,1,8,1,11,1,16,1,17,5,9,1,17,1,16,1,17,2,16,2,11,1,16,1,9,1,11,1,13,2,7,1,6,1,13,2,9,1,11,1,17,6,16,2,17,2,16,2,17,8,16,1,17,1,16,1,17,1,16,2,13,4,30,1,6,1,13,1,6,6,29,1,28,1,30,2,28,1,30,1,28,3,30,1,28,1,29,1,6,1,7,2,13,2,8,1,6,1,29,1,8,1,29,1,7,1,28,1,30,1,28,1,30,1,28,1,30,1,28,5,30,1,28,20,30,1,28,1,6,1,28,1,29,1,7,1,6,1,7,1,6,1,29,1,28,4,6,1,29,2,6,1,7,1,6,2,8,1,13,1,7,1,6,2,7,1,29,2,30,1,29,3,30,1,28,14,29,1,9,1,16,1,17,1,16,2,17,1,16,2,17,14,16,1,17,2,16,2,17,1,16,1,17,1,16,2,17,2,11,1,17,2,16,2,11,3,17,1,11,1,17,1,12,1,17,2,11,1,17,6,16,1,11,1,10,1,17,1,10,2,13,1,9,1,13,2,10,1,9,5,13,3,6,4,9,1,11,1,16,1,11,1,16,1,11,1,13,1,9,1,8,2,11,1,13,2,9,3,13,2,6,1,9,1,10,1,13,2,8,1,13,4,11,1,8,1,11,1,13,1,9,3,16,1,9,2,16,2,11,2,9,1,11,3,17,1,28,5,30,1,6,1,7,1,28,1,7,1,13,2,30,1,13,1,29,1,30,1,8,1,6,1,30,1,7,1,13,2,6,1,7,1,13,1,6,2,13,1,6,1,13,1,6,1,7,1,6,2,7,1,8,1,6,2,13,1,6,1,13,3,6,1,13,3,6,1,13,1,30,1,6,1,13,1,6,1,7,1,13,3,6,1,13,1,6,2,30,1,6,1,13,1,6,1,30,1,7,1,6,1,13,1,6,1,13,1,6,7,13,1,6,1,7,1,13,1,6,1,13,2,7,1,13,7,6,1,13,1,7,1,13,1,6,2,13,1,6,1,13,1,6,1,13,3,7,1,13,5,6,1,13,2,6,1,13,4,6,1,13,2,6,1,13,1,7,1,6,1,29,1,13,1,6,1,13,1,6,2,13,3,6,1,13,5,6,1,13,1,7,1,30,1,13,1,30,1,13,1,6,2,30,1,13,2,6,2,13,1,6,1,13,1,6,1,13,3,30,1,6,2,7,1,6,2,13,3,30,1,13,2,6,1,13,2,7,1,13,7,6,1,13,1,6,1,13,5,8,1,13,6,8,1,13,3,7,1,13,3,6,1,13,2,6,1,13,1,6,1,13,1,6,1,7,3,6,3,7,1,13,2,6,1,13,1,6,1,7,1,13,3,6,1,13,1,6,3,29,1,6,2,13,3,6,1,7,2,6,2,13,1,30,1,6,1,29,1,30,1,6,2,29,1,30,1,13,2,6,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,13,1,6,2,13,4,6,1,7,1,13,1,6,2,13,2,6,1,13,1,8,1,13,4,9,1,6,1,13,4,9,1,13,1,9,1,13,10,6,1,13,2,6,1,13,4,6,1,13,2,6,2,13,1,6,2,7,1,6,2,13,3,6,1,13,1,6,1,13,3,6,1,13,1,7,1,13,1,6,2,30,1,6,7,30,1,6,1,7,1,6,2,30,1,6,5,29,1,30,1,7,1,6,1,7,1,30,1,6,1,30,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,13,2,30,2,6,1,29,1,6,1,13,3,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,4,7,1,13,2,6,4,13,1,6,2,13,1,6,1,13,2,7,2,13,5,6,2,13,2,6,6,13,7,6,1,13,1,6,2,13,1,6,1,13,1,29,1,30,1,13,1,6,1,13,1,7,1,13,4,6,1,13,1,6,1,7,1,6,1,13,1,7,1,13,3,6,1,13,5,6,1,13,2,6,1,13,1,7,1,13,1,6,1,7,1,13,1,30,1,13,2,6,1,7,1,13,1,7,1,6,3,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,7,1,6,3,13,3,6,1,13,3,6,1,13,1,8,1,13,1,6,1,13,1,6,1,29,1,7,1,30,2,28,2,6,1,8,1,9,1,8,1,9,1,12,1,9,1,10,1,12,2,8,1,7,1,8,1,17,2,12,1,24,1,10,1,12,2,9,1,12,1,11,1,17,1,11,1,17,8,10,1,28,17,30,2,13,1,7,1,24,1,12,1,10,1,24,1,12,2,17,1,12,1,17,1,8,1,7,1,30,1,6,1,30,1,6,2,30,1,6,12,30,1,29,1,6,3,30,1,28,1,13,1,8,1,17,1,11,1,17,1,9,1,10,1,12,2,24,1,12,1,10,2,12,1,10,1,8,1,12,2,10,1,12,1,24,1,12,1,10,1,9,1,12,1,10,1,8,1,24,1,9,1,12,1,24,1,10,1,12,1,24,1,12,1,10,1,12,1,24,1,12,1,17,2,12,3,17,2,10,1,17,3,12,2,24,1,17,2,12,1,17,3,9,1,6,1,8,1,10,1,12,2,10,1,12,1,17,1,12,4,24,2,12,1,8,1,24,1,10,1,17,3,12,1,17,1,12,3,24,1,12,1,9,2,17,2,12,1,30,1,6,6,30,1,6,4,29,1,6,1,30,1,6,8,13,1,30,1,29,1,6,3,13,1,28,2,30,1,28,28,30,1,28,1,30,1,6,1,28,2,30,3,28,1,30,1,6,1,7,1,8,1,9,1,13,2,7,1,8,2,7,1,8,1,24,1,7,1,13,1,8,1,6,2,13,1,28,1,30,2,6,1,29,1,7,1,30,1,29,2,30,1,29,3,6,1,29,1,8,2,30,1,25,1,6,2,30,1,29,2,28,1,25,2,30,1,29,1,28,1,6,1,29,1,25,1,8,1,25,1,8,1,25,2,8,1,24,1,8,1,9,1,12,1,17,2,10,2,12,1,17,1,12,1,17,1,12,2,10,1,17,1,24,1,9,1,17,1,24,1,12,1,8,1,24,1,9,1,12,1,8,1,10,1,8,1,17,1,24,5,10,1,8,2,24,1,10,1,7,1,24,2,10,1,24,3,10,1,24,1,12,1,8,1,12,1,9,1,17,1,10,3,29,1,30,1,29,2,30,1,29,1,28,1,29,1,30,1,28,1,29,1,30,1,29,1,28,1,30,1,28,1,30,1,28,5,29,1,28,2,30,1,28,2,30,1,29,1,6,1,28,1,29,1,6,1,30,1,29,1,28,3,30,1,26,1,29,1,26,1,27,2,25,3,8,1,25,2,8,1,25,1,8,1,24,2,13,1,24,3,12,1,9,1,12,1,9,1,12,1,10,1,12,1,9,1,17,1,11,1,13,1,9,1,13,8,6,1,13,1,9,1,17,1,10,1,11,1,24,1,10,1,9,2,11,1,10,4,9,1,11,1,10,1,11,1,12,1,9,1,10,1,11,1,9,1,11,1,9,1,12,1,11,3,9,4,11,2,16,1,10,1,11,2,17,1,11,1,16,1,10,1,11,1,17,1,11,1,16,1,17,2,16,2,17,1,11,2,17,9,11,1,12,1,17,3,12,1,17,6,12,1,17,1,11,1,17,4,10,1,17,2,11,1,17,1,12,1,17,1,12,2,11,1,12,1,17,1,12,2,17,1,11,1,17,4,11,1,17,2,12,2,9,1,17,1,12,2,10,1,9,1,12,1,8,1,17,3,12,2,17,1,10,1,12,1,17,4,9,1,17,1,9,1,12,1,9,1,24,1,12,1,9,1,24,2,8,1,24,1,13,1,10,1,24,1,13,1,24,2,9,1,8,1,24,1,10,1,9,1,7,1,12,1,8,1,10,1,24,2,9,1,24,1,8,1,10,1,24,1,8,1,24,1,8,1,13,1,8,2,10,1,9,1,12,1,24,1,8,2,13,1,24,1,17,1,24,3,8,2,24,3,8,1,13,1,6,1,24,1,8,2,24,2,7,1,24,2,8,3,10,1,9,1,10,1,8,1,24,1,10,1,24,1,9,1,10,1,17,1,10,1,12,1,17,1,9,1,12,1,10,1,24,1,10,1,8,1,24,2,8,1,10,1,13,1,8,1,24,1,10,1,24,1,13,1,24,1,7,1,8,2,7,1,6,1,8,1,24,1,8,1,10,1,7,1,9,1,13,1,24,1,9,1,10,1,8,1,24,1,12,1,17,1,12,1,11,2,9,1,12,2,17,1,10,1,12,2,17,2,10,1,12,1,17,1,10,1,13,1,28,12,7,1,17,4,12,1,10,1,8,1,24,1,7,1,13,1,6,1,13,1,6,5,7,1,6,1,13,1,8,1,9,2,14,1,15,1,17,1,9,1,17,1,6,1,28,6,30,1,8,1,12,1,7,1,6,2,28,33,30,1,13,1,15,1,16,1,8,1,7,1,13,1,6,1,10,1,15,1,24,2,8,1,29,3,30,2,6,1,13,1,9,1,12,1,10,1,13,1,28,4,30,2,9,1,13,1,6,1,28,3,30,1,13,3,9,1,24,1,15,2,12,1,10,1,13,1,8,1,6,1,30,1,13,1,9,1,17,1,11,1,30,1,28,2,30,1,8,1,9,1,13,1,28,48,8,1,24,1,9,1,13,1,28,7,}, {28,5,30,1,28,1,30,1,28,1,6,1,28,19,30,1,6,1,28,15,7,1,9,2,12,1,8,1,9,1,7,1,28,8,6,2,8,1,17,1,12,1,28,5,30,1,7,1,13,2,8,1,30,1,29,1,28,9,6,1,8,1,14,1,24,1,28,45,30,1,28,2,30,1,29,1,24,1,8,1,6,1,28,3,30,1,15,1,8,1,7,1,28,1,6,1,30,3,8,1,6,1,13,1,29,1,28,7,30,1,6,1,8,1,6,2,28,5,30,1,9,1,24,1,13,2,6,2,29,1,6,2,24,1,8,2,12,1,17,1,15,1,9,1,7,1,29,1,7,1,29,1,13,1,29,1,28,38,30,1,28,1,8,1,24,1,6,1,30,1,28,3,30,1,24,1,10,1,13,1,8,2,24,1,8,1,6,1,8,1,7,1,13,1,29,1,6,1,30,1,13,1,29,3,30,1,13,1,6,2,13,1,8,1,13,1,8,1,13,1,17,3,14,1,15,1,28,14,6,2,30,1,28,39,30,1,28,18,30,1,28,50,7,1,30,2,28,1,30,1,28,1,30,1,28,1,6,1,30,1,29,1,6,1,28,1,13,1,6,1,29,1,13,1,6,1,29,1,13,1,6,1,30,1,13,2,24,1,8,1,13,1,24,1,13,5,28,1,13,1,7,1,6,1,13,1,8,1,24,1,8,1,13,3,7,2,8,1,13,1,6,1,28,1,6,1,30,1,6,2,29,1,28,1,6,1,7,1,29,1,13,2,17,10,16,1,11,2,16,2,11,3,9,1,11,2,16,1,10,1,11,3,9,2,11,1,9,1,11,4,9,1,16,2,9,1,10,1,11,3,16,1,11,1,9,2,11,1,9,1,11,2,9,1,10,1,9,1,13,1,9,1,13,2,6,1,30,1,29,1,30,1,28,6,29,1,30,2,6,1,13,1,7,1,6,1,13,1,7,1,30,1,7,1,6,2,28,1,6,1,30,1,7,1,28,1,6,1,8,1,6,1,13,1,30,1,6,1,13,1,28,44,8,1,17,3,12,1,17,2,11,2,17,1,16,1,11,1,12,1,16,1,8,1,9,1,13,1,8,2,13,1,9,1,8,1,13,2,6,2,13,1,30,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,2,30,2,28,2,6,2,7,1,28,1,30,1,28,4,13,1,17,1,6,1,28,1,6,2,13,1,11,1,17,11,16,4,8,1,9,1,6,1,28,7,13,1,9,2,17,3,16,2,17,2,16,1,17,1,16,1,17,1,16,1,17,9,16,1,17,3,11,2,13,1,6,2,30,1,29,1,13,1,6,2,13,1,6,1,7,1,28,1,29,2,28,2,30,2,28,4,6,1,7,2,6,1,13,3,7,1,9,1,24,1,29,1,7,1,29,1,28,3,30,1,29,1,30,1,28,3,30,2,28,10,30,1,28,5,6,1,28,3,29,1,6,1,7,1,8,1,13,2,30,1,28,2,29,1,28,4,7,1,29,1,7,1,6,2,13,2,6,4,29,1,30,2,28,1,30,2,28,10,30,1,28,1,30,2,13,1,9,1,16,1,11,1,16,1,11,1,17,1,16,2,17,2,16,3,17,1,16,1,17,1,16,1,17,9,16,5,17,1,16,1,17,1,16,2,17,1,11,1,16,1,11,1,9,1,10,2,11,1,9,1,17,5,11,2,17,6,11,1,9,1,10,1,9,1,8,2,9,1,13,2,9,3,13,3,9,1,13,2,6,2,13,1,9,1,8,1,10,1,17,3,13,1,8,3,9,1,13,3,9,4,13,5,9,1,13,1,6,1,13,1,9,1,13,1,11,1,13,2,9,1,11,1,13,1,16,1,9,1,16,1,11,3,9,2,11,2,9,1,17,1,30,1,28,4,30,1,6,1,30,1,7,1,13,1,6,3,30,1,29,1,6,1,7,1,13,2,8,1,13,2,6,3,13,1,7,1,13,2,6,1,13,1,7,1,13,1,6,1,13,3,6,1,13,4,6,1,13,1,6,1,7,1,13,3,6,1,13,2,6,1,7,1,13,1,6,1,13,2,7,1,6,1,13,3,6,1,13,2,7,1,6,4,7,1,13,1,6,1,7,1,6,2,13,1,7,1,6,2,13,10,6,1,13,3,6,2,13,1,6,2,13,2,6,2,13,8,29,1,13,2,6,1,13,3,6,1,13,2,7,2,13,6,6,1,13,1,6,1,13,3,6,1,13,1,6,1,13,1,6,3,13,7,6,2,13,2,6,1,13,1,6,1,13,2,6,1,13,1,7,1,6,3,13,1,7,1,13,1,6,4,7,1,13,1,6,1,13,2,7,1,13,2,6,1,7,1,13,4,7,1,13,1,6,1,13,2,6,1,13,2,30,1,13,10,7,1,6,1,13,2,7,2,13,4,6,2,7,1,6,1,13,5,6,2,13,2,6,1,7,1,6,2,13,1,6,1,28,1,6,1,13,1,6,1,7,1,13,2,6,1,13,1,9,1,6,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,6,2,13,3,6,1,13,1,7,1,6,2,13,2,7,1,13,1,6,1,7,1,13,3,7,1,6,3,13,4,7,2,6,1,13,2,6,1,13,1,7,1,6,1,8,1,13,1,8,1,6,1,13,2,6,1,13,2,7,2,13,9,6,1,13,2,6,1,13,3,6,1,13,2,8,1,7,1,13,2,6,1,13,3,6,1,13,1,6,3,29,1,6,2,7,1,13,1,30,1,6,3,7,2,30,1,13,1,6,9,30,1,7,1,6,3,29,1,6,2,30,1,6,2,29,1,13,1,6,1,7,1,6,3,13,2,6,1,7,1,6,1,13,1,6,1,7,1,13,1,6,2,29,1,13,1,6,3,13,3,6,2,29,1,6,2,13,1,6,1,13,2,6,1,13,1,6,3,13,1,6,3,13,1,30,1,13,3,6,1,30,1,6,1,7,1,6,3,7,1,6,1,13,1,7,2,13,2,6,2,13,3,6,1,13,1,6,2,13,7,7,1,13,2,8,1,6,1,7,1,6,1,7,2,6,2,13,1,6,3,7,1,13,1,6,3,13,2,6,1,8,1,6,1,13,3,6,2,7,2,13,2,6,1,13,1,6,1,13,1,6,1,29,1,6,1,13,1,8,1,13,1,7,1,6,2,7,1,13,3,6,2,13,1,7,1,13,1,29,1,6,1,13,1,7,2,13,1,30,1,13,1,7,1,13,7,6,1,13,1,6,1,30,1,6,1,30,1,7,2,28,1,30,1,24,1,6,1,29,1,6,1,7,1,6,2,13,3,8,1,6,1,7,1,29,2,7,1,13,1,8,1,10,1,7,1,8,3,12,1,9,1,11,2,12,1,11,1,9,1,17,1,12,1,17,2,13,1,28,16,30,1,28,1,29,1,7,2,8,1,24,2,12,1,17,1,10,1,17,4,9,2,13,2,8,1,13,2,6,2,13,2,6,1,7,1,6,1,13,1,6,1,13,1,6,2,28,3,30,1,7,1,13,1,9,2,11,1,10,1,9,1,12,1,9,2,12,1,10,1,12,2,9,1,24,1,12,2,10,1,24,1,12,1,10,1,8,1,12,1,24,1,8,1,9,1,12,1,24,1,10,1,24,2,12,2,24,1,17,1,12,1,9,1,12,3,10,1,17,1,9,1,12,1,10,1,17,1,12,1,17,1,12,1,17,1,24,1,17,3,9,1,12,1,10,1,17,1,12,2,13,1,17,1,24,1,12,1,24,2,17,1,12,3,10,1,12,3,8,1,12,4,10,2,12,2,17,1,12,2,17,1,12,1,10,2,12,1,17,2,13,1,6,2,7,1,6,1,7,1,29,1,6,5,28,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,1,6,2,29,1,6,2,13,1,6,2,13,1,29,1,6,3,13,1,6,1,30,1,6,1,30,7,28,28,30,1,9,1,11,1,13,1,8,1,24,1,8,1,7,2,8,2,7,5,6,1,13,1,7,2,6,1,30,1,6,2,30,2,6,1,29,1,7,1,28,1,6,1,13,1,28,1,29,1,30,1,29,1,25,1,29,1,7,1,28,1,7,1,29,1,6,1,7,1,29,1,25,1,8,1,28,1,29,1,8,1,30,1,8,1,25,2,6,1,8,1,25,1,24,2,8,1,10,1,9,1,24,1,12,1,10,1,12,1,8,1,10,1,17,1,12,1,17,1,10,1,17,1,24,1,17,1,12,1,9,1,24,2,10,1,8,1,12,1,17,1,24,1,17,1,12,1,24,1,8,1,24,1,8,1,24,1,10,1,24,3,8,1,10,1,12,1,24,2,10,1,9,1,12,2,8,1,12,1,24,1,12,1,17,1,10,3,13,1,30,1,28,1,30,1,6,1,30,1,28,1,29,1,28,2,6,1,29,1,30,1,29,2,28,1,29,2,28,1,29,1,28,2,29,1,30,1,28,2,30,1,28,1,6,1,28,4,30,2,29,1,30,1,29,1,28,1,27,1,30,1,27,1,30,1,8,1,27,1,25,2,8,1,27,1,26,1,25,1,6,2,24,2,8,3,24,1,8,1,10,1,24,1,12,2,10,1,17,3,12,2,17,1,13,11,7,1,28,1,13,1,9,1,12,1,9,2,10,2,11,1,10,1,11,1,10,1,12,1,11,1,12,1,11,1,10,1,9,1,11,1,8,1,9,4,11,3,17,1,9,1,11,1,9,1,16,1,9,1,11,1,16,1,17,1,16,1,17,2,11,1,16,1,11,1,17,1,9,1,11,1,17,1,11,1,17,13,12,1,10,1,9,1,17,3,12,2,17,8,12,1,11,1,12,1,9,1,24,1,12,1,11,1,17,1,12,1,17,2,12,1,9,1,12,2,11,1,17,1,11,1,9,1,12,2,10,1,12,1,17,5,12,2,9,1,12,1,17,1,9,1,17,1,24,1,10,1,9,1,17,1,12,1,10,1,12,1,9,1,12,1,10,1,12,1,24,1,6,1,24,3,9,1,24,1,12,1,24,1,9,1,12,1,24,1,10,1,12,1,24,1,8,1,9,1,24,2,10,1,24,1,10,1,24,2,13,1,9,1,12,1,24,1,10,1,24,1,9,1,24,1,9,1,12,1,10,1,24,1,10,1,24,1,8,2,24,1,13,1,24,2,8,1,9,2,12,1,10,1,24,2,10,1,8,1,24,4,7,1,10,1,13,1,8,2,10,1,8,3,10,1,24,2,13,1,8,1,24,2,8,2,24,2,8,1,24,2,10,1,8,1,9,1,12,1,9,1,17,1,9,1,17,1,24,1,10,1,8,1,12,1,24,7,17,1,24,1,13,1,17,1,13,1,9,1,7,1,24,1,12,1,13,1,24,2,7,1,8,1,9,2,13,1,8,1,9,1,13,1,8,1,13,1,12,1,8,1,12,1,8,1,9,2,10,2,24,1,10,1,12,1,10,2,17,3,12,2,9,1,28,13,6,1,15,1,17,2,12,3,13,2,8,1,6,2,28,1,29,4,13,1,6,1,29,1,13,1,7,1,9,1,11,1,12,1,15,1,16,1,11,1,17,1,29,1,28,6,30,1,9,2,8,1,13,1,29,1,28,31,30,1,28,1,6,2,12,2,9,1,13,1,6,1,8,1,9,1,17,1,12,1,8,1,13,1,7,1,30,1,6,1,28,1,29,2,24,1,8,1,9,2,30,1,28,3,30,1,28,1,7,1,9,1,10,1,6,1,28,3,30,1,6,1,13,1,8,1,24,1,9,1,15,1,12,1,15,1,9,1,13,2,7,1,29,1,13,1,9,1,17,1,9,1,6,1,28,2,29,1,8,1,17,1,28,17,30,1,28,31,7,1,24,1,17,1,13,1,28,7,}, {28,9,30,1,28,18,6,1,13,1,28,15,30,1,6,1,7,1,11,1,16,1,9,1,13,2,30,1,28,7,30,1,7,2,12,1,13,1,30,1,28,5,6,1,9,1,8,1,9,1,6,1,28,10,30,1,15,1,12,1,24,1,28,44,30,1,29,1,28,3,29,1,8,2,28,5,13,1,24,1,29,2,28,1,6,1,30,1,13,1,7,1,13,2,6,1,30,1,28,4,30,1,28,2,30,1,6,1,7,2,28,5,30,1,9,1,24,1,13,1,6,1,28,1,30,1,6,1,13,2,24,3,9,1,11,1,9,2,8,1,6,1,13,1,29,1,8,1,29,2,28,37,30,1,28,1,8,1,24,1,6,1,30,1,28,3,6,1,24,1,13,1,24,1,6,1,24,2,13,1,6,1,13,2,30,1,6,1,29,1,13,2,30,1,6,1,13,1,28,1,6,1,29,1,13,3,24,1,9,1,10,1,15,1,12,1,14,3,30,1,28,14,30,1,28,1,30,1,28,45,30,1,28,63,6,1,28,1,30,1,6,1,29,1,28,2,7,1,30,1,29,2,30,1,28,1,7,1,6,1,13,1,6,1,13,3,7,1,13,1,6,1,29,1,7,1,6,1,13,4,6,3,7,1,6,1,7,1,8,2,24,2,13,4,8,2,13,1,30,1,29,3,30,2,6,2,30,1,6,1,9,1,16,2,17,5,11,3,16,3,11,2,16,2,11,1,16,3,11,1,16,2,11,3,9,1,10,1,9,1,11,4,9,2,11,1,9,1,11,4,9,1,11,1,9,1,11,1,9,2,16,1,9,1,10,1,11,1,8,1,9,1,13,3,7,1,6,1,30,2,28,10,6,3,13,1,6,3,7,1,13,1,6,1,29,1,6,1,13,3,7,3,6,2,30,1,7,1,6,1,28,44,12,1,11,2,12,1,11,2,17,1,9,1,11,1,16,1,11,2,9,4,24,1,8,2,13,1,6,1,13,1,8,1,30,2,7,1,8,1,30,2,28,1,29,1,30,1,6,1,30,1,28,4,29,1,6,1,28,1,30,1,6,2,30,2,28,1,30,1,28,6,6,1,17,1,13,1,28,4,6,2,17,1,11,1,16,1,17,4,16,1,17,1,16,1,17,1,16,3,11,1,13,1,6,1,30,2,28,6,30,1,6,1,13,1,10,1,16,1,17,1,16,1,17,1,16,3,17,1,16,1,17,10,16,1,17,4,16,2,17,2,13,2,6,1,13,2,8,1,29,1,6,3,30,3,29,1,28,1,29,1,28,1,30,1,6,1,28,2,6,3,13,3,7,1,30,1,29,2,6,3,28,4,29,1,28,1,30,1,28,7,30,1,28,1,30,1,28,10,29,1,28,1,29,1,6,3,13,1,30,1,6,1,28,5,6,1,28,1,29,2,6,3,29,1,6,3,30,1,6,2,30,2,29,1,30,1,29,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,6,1,13,2,9,2,17,1,11,1,16,1,11,2,16,2,17,3,11,1,16,2,17,1,16,2,17,6,11,1,17,2,16,2,17,4,16,1,17,2,16,2,17,1,16,1,11,3,9,2,11,1,9,1,11,1,17,1,11,1,17,1,12,1,17,6,11,1,12,1,11,1,9,4,10,1,13,1,9,4,13,1,7,2,6,1,7,1,13,1,6,1,13,1,30,1,13,1,17,1,13,1,16,2,17,1,9,4,8,1,9,1,8,1,13,4,9,1,13,1,6,1,13,1,6,1,13,2,6,1,13,3,9,1,13,1,9,1,11,1,9,2,16,1,9,1,11,2,16,1,11,2,16,1,11,1,9,2,11,1,9,1,30,1,28,4,13,1,30,1,29,1,6,1,13,1,30,1,7,1,30,2,13,1,30,1,7,2,13,1,6,1,7,1,6,1,13,1,7,1,13,2,8,1,6,1,13,2,6,1,13,2,7,1,6,1,13,2,6,2,13,2,28,1,13,2,6,2,13,1,29,1,13,1,7,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,6,1,13,5,6,1,13,1,7,2,6,1,7,1,6,1,30,1,6,2,7,1,6,2,13,1,6,3,13,2,6,1,13,1,7,1,13,1,6,8,13,2,6,1,13,1,7,1,13,1,6,3,8,1,13,2,7,1,13,1,7,1,13,2,6,1,13,2,7,1,8,1,13,2,6,1,13,1,7,1,13,1,7,1,13,2,29,2,13,1,28,1,13,1,6,1,13,1,6,1,13,1,7,2,13,1,6,1,13,3,6,1,7,1,13,3,6,1,7,1,6,3,7,1,13,1,6,1,7,1,13,3,6,1,7,1,13,1,7,1,13,2,6,2,13,5,6,3,13,1,6,2,13,1,7,1,13,1,7,2,13,8,9,1,13,4,8,2,13,3,6,1,13,1,6,1,7,1,13,1,7,1,13,4,6,1,7,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,6,4,13,1,6,4,13,1,6,1,13,5,30,1,7,1,13,1,6,2,13,2,6,4,30,1,13,1,6,1,13,1,29,1,13,1,6,2,30,1,6,3,13,2,7,1,13,1,6,2,13,4,7,1,13,1,6,1,7,1,13,2,7,2,13,1,6,2,13,1,6,1,13,1,6,1,29,1,7,1,13,2,6,1,7,1,30,1,6,1,13,6,6,1,30,1,13,3,6,1,13,3,30,1,13,2,30,1,13,2,6,1,13,2,6,1,29,1,6,2,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,7,1,6,3,13,3,6,2,7,1,30,1,7,1,6,1,7,1,6,5,29,1,7,1,6,1,7,1,6,4,13,1,30,1,6,1,13,1,6,2,29,1,30,1,6,1,30,1,13,1,7,1,6,1,13,1,29,1,7,1,6,2,13,3,6,3,13,1,6,2,29,1,6,1,9,1,13,1,29,1,13,1,29,1,13,1,6,1,13,1,6,2,13,1,6,1,13,2,30,1,6,1,13,2,6,1,13,1,6,5,7,1,13,1,6,2,7,1,29,1,7,1,13,1,6,2,7,1,13,1,6,2,7,1,13,2,7,1,6,3,13,1,29,1,13,3,7,1,13,2,8,1,13,2,6,2,13,1,6,1,13,2,6,3,7,1,29,1,13,1,30,1,7,1,6,1,13,1,30,1,29,1,6,3,13,2,6,1,13,1,6,4,13,1,6,1,13,1,7,1,30,1,13,1,6,1,13,2,6,1,13,1,7,1,6,1,13,3,6,1,13,1,30,1,13,1,6,2,7,1,13,1,6,1,13,1,6,3,13,4,7,1,13,2,6,1,13,5,6,2,30,1,6,3,7,1,28,1,6,1,8,1,28,4,29,1,28,1,30,1,29,1,28,8,30,3,28,2,30,1,13,1,9,1,10,1,12,1,10,1,24,1,10,1,24,1,10,1,12,1,17,1,8,1,28,17,29,1,30,1,6,2,8,1,24,1,10,1,9,1,12,2,17,1,12,1,17,3,12,1,17,4,11,1,8,1,13,7,28,5,7,1,8,1,11,1,9,1,11,1,17,1,12,1,10,1,9,1,12,2,9,1,10,2,24,1,12,1,10,2,8,1,12,1,24,3,12,1,24,3,10,1,9,1,10,1,12,1,9,1,17,1,8,1,10,2,24,1,8,1,7,1,9,1,24,1,8,1,24,2,9,2,24,1,17,1,24,1,17,1,12,3,24,1,17,1,12,3,9,1,13,1,9,1,17,1,12,1,9,1,10,3,12,1,24,1,13,1,12,1,24,1,17,1,12,1,24,1,17,1,12,3,24,1,17,1,24,1,17,2,10,1,12,2,17,1,10,1,17,1,12,2,17,1,10,2,17,1,11,1,29,1,28,1,13,1,6,3,29,1,7,1,29,1,6,1,30,1,13,1,30,2,6,1,30,1,6,1,29,1,6,2,30,3,6,1,29,2,7,1,30,1,28,1,29,1,6,1,29,1,6,1,29,1,30,1,6,1,30,1,6,5,29,1,30,4,13,1,29,1,28,1,30,2,28,2,6,1,28,2,30,4,28,13,9,1,8,2,24,1,13,1,8,3,7,1,8,2,13,1,8,1,7,2,29,2,30,2,6,1,28,1,29,1,30,1,7,1,29,3,28,1,13,2,6,1,13,1,29,1,6,1,7,1,25,1,30,1,29,1,30,1,28,1,30,1,7,1,29,1,30,1,28,2,29,1,25,3,26,1,25,1,24,1,25,1,24,1,8,2,12,2,24,2,7,1,24,1,12,1,24,1,9,1,24,1,10,1,12,1,24,1,17,1,10,2,12,2,17,2,24,3,10,1,12,4,24,2,10,1,24,2,8,2,24,3,8,1,12,1,24,1,12,1,9,1,10,1,9,1,12,2,8,1,17,1,8,1,12,2,13,2,28,2,30,1,29,4,6,1,28,1,29,1,28,1,30,1,28,1,6,1,28,1,6,1,30,3,6,1,30,2,28,4,29,1,28,3,30,1,6,1,29,1,28,2,30,3,6,1,30,1,29,1,28,1,29,1,27,2,25,1,27,1,8,1,6,1,8,1,24,1,8,1,25,1,24,1,8,2,12,1,8,2,10,1,24,2,9,1,12,1,9,2,11,2,12,1,9,1,12,1,13,8,7,1,6,1,13,1,7,1,6,3,13,1,9,1,11,2,9,1,10,1,9,3,11,6,10,3,9,4,11,3,9,1,10,1,17,1,8,1,16,1,11,4,16,2,11,1,17,1,16,1,17,2,10,1,17,15,12,1,17,1,12,1,17,1,10,1,12,1,17,7,12,1,17,2,12,1,17,1,11,1,17,1,9,1,17,1,11,1,10,1,12,1,17,2,10,1,17,1,11,1,12,1,10,1,17,2,10,1,17,2,12,1,17,2,11,1,17,1,12,1,9,1,11,1,17,1,10,1,12,2,9,1,12,1,8,1,24,1,10,1,9,1,17,1,12,1,17,1,10,3,24,1,17,2,10,3,24,1,13,1,12,2,10,1,9,1,24,1,8,1,12,1,10,3,8,1,24,2,8,1,9,1,13,1,24,1,13,1,9,1,12,1,8,1,10,1,17,1,9,1,12,1,9,1,8,1,24,1,8,1,24,2,7,1,24,1,13,1,24,1,8,1,24,2,9,2,12,1,8,4,13,1,24,1,13,2,8,1,7,1,24,1,7,1,13,2,24,2,6,1,10,1,24,1,10,1,13,1,8,1,24,1,8,1,25,1,8,1,7,1,9,1,8,1,13,1,10,1,24,2,12,2,10,1,12,1,10,1,17,1,24,1,12,2,24,1,8,1,24,1,10,1,24,1,8,3,24,3,10,1,24,1,8,1,12,1,24,1,12,1,10,1,8,1,24,3,9,1,13,1,8,1,24,2,8,1,24,1,9,1,8,1,9,1,8,1,24,1,13,1,10,2,8,1,17,1,12,1,9,1,11,1,12,1,10,1,12,1,17,1,12,1,11,1,17,1,11,1,28,13,13,1,10,1,17,3,12,1,17,1,8,2,24,1,6,2,29,1,6,2,29,1,28,1,6,2,29,1,13,2,24,1,15,3,17,2,10,1,30,1,28,5,29,1,28,1,24,1,12,1,9,1,29,1,30,1,28,34,13,1,9,1,15,1,13,1,6,1,13,1,8,1,11,1,14,1,8,1,13,1,6,3,29,1,28,1,7,1,6,1,24,1,10,1,8,1,12,1,13,1,28,3,30,2,8,1,10,1,8,1,7,1,30,1,28,1,6,4,24,1,9,1,15,1,9,1,15,1,9,1,24,1,13,1,6,1,7,2,13,1,10,1,17,1,9,1,28,3,6,1,8,1,9,1,30,1,28,48,13,1,9,1,17,1,6,1,28,7,}, {28,7,30,1,29,1,28,18,6,2,28,16,29,2,6,1,16,1,11,2,9,1,13,1,29,1,28,7,30,1,6,1,13,1,9,1,8,1,30,1,28,5,13,1,10,1,8,1,13,1,29,1,28,1,30,1,28,8,30,1,10,1,24,1,6,1,28,46,30,1,28,1,29,1,28,1,13,1,24,1,28,1,30,1,28,3,7,1,24,1,13,1,28,4,8,1,6,1,8,1,13,1,6,1,28,8,29,1,8,1,13,1,6,1,28,6,24,1,12,1,13,1,8,1,13,1,6,1,8,1,13,1,8,1,13,2,10,1,9,2,14,1,15,1,13,2,6,1,7,1,29,1,13,1,29,1,28,39,7,1,6,1,29,2,30,1,28,3,8,2,7,1,8,1,24,1,8,1,13,3,7,1,24,1,29,1,13,2,6,2,29,1,30,1,29,1,6,1,29,1,7,1,13,1,24,1,8,2,15,1,10,1,12,1,15,1,14,1,9,1,29,1,28,60,30,1,28,64,30,1,28,1,6,3,30,3,28,1,29,1,6,1,30,1,7,1,29,1,30,1,7,1,13,1,7,1,6,1,29,1,30,1,13,1,7,1,6,1,13,2,7,1,8,1,6,1,13,1,7,1,8,1,7,1,13,2,8,1,7,1,6,1,8,2,9,1,13,1,7,1,13,4,8,1,6,2,30,2,6,1,13,4,9,1,17,4,10,1,17,1,16,2,11,3,10,1,16,3,11,2,16,1,11,2,16,2,11,2,16,2,11,1,9,1,11,1,9,2,10,1,9,2,11,1,9,2,11,1,9,1,11,1,10,1,11,3,9,1,11,4,16,1,11,1,9,1,13,1,9,2,8,1,13,2,7,1,30,1,7,1,29,1,30,1,28,8,6,2,29,1,13,1,8,1,6,1,8,1,6,3,13,1,7,1,13,2,6,5,13,1,30,1,6,1,28,1,7,1,30,1,28,42,9,2,10,1,17,1,11,3,16,2,11,2,10,1,11,2,9,1,10,1,13,2,8,1,13,2,8,2,6,1,29,1,6,1,28,3,30,1,6,1,28,1,30,1,28,1,30,1,28,2,30,1,28,3,29,1,6,1,30,2,29,2,30,1,28,1,30,1,28,5,11,1,9,1,28,5,30,1,28,1,7,1,13,1,9,1,16,2,17,3,16,4,11,3,13,1,28,1,30,1,28,5,30,2,28,3,13,1,16,1,17,2,16,2,17,1,16,1,17,1,16,1,17,11,16,1,17,3,16,2,17,4,16,1,9,4,13,2,8,1,13,1,28,1,30,3,28,8,13,1,7,1,6,1,9,3,10,1,13,2,6,1,28,1,6,1,30,3,28,1,30,1,28,2,30,1,28,5,30,1,28,9,29,1,30,4,7,1,6,1,13,3,30,1,28,1,6,1,28,2,6,1,28,3,6,2,13,2,6,1,9,2,10,1,9,1,6,1,13,1,28,3,29,1,7,1,29,1,28,1,30,1,28,3,30,1,6,2,30,1,13,1,8,1,11,1,9,2,11,1,16,2,11,1,16,2,17,1,16,1,17,3,16,1,17,2,16,1,17,5,16,1,17,2,11,1,17,3,16,3,17,1,16,1,17,1,16,1,17,3,16,1,11,1,16,1,11,1,9,2,8,2,9,2,11,1,17,2,16,1,11,2,16,1,17,6,10,1,8,1,11,1,9,2,13,1,8,1,9,4,6,1,7,1,13,3,7,1,30,1,13,2,9,2,10,1,11,1,16,2,13,1,11,1,9,1,8,1,9,3,13,3,9,1,13,5,11,1,8,1,6,1,13,1,8,1,13,1,8,1,9,2,13,1,8,1,11,1,13,1,11,1,16,1,11,2,16,1,9,1,11,1,9,1,13,1,9,1,13,1,30,1,28,4,13,2,28,1,6,1,13,2,30,1,29,1,30,1,6,2,30,1,6,1,13,6,8,1,13,1,30,1,6,1,7,1,13,2,29,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,2,6,1,7,1,6,2,13,2,6,1,13,2,6,1,13,2,30,1,13,1,6,1,13,3,7,1,6,3,7,1,13,2,29,1,6,1,7,2,6,4,13,1,7,1,13,3,6,1,13,2,7,2,6,1,7,3,6,1,13,11,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,3,13,6,6,1,13,1,29,1,13,1,6,1,30,1,8,2,13,1,30,1,6,1,13,2,7,1,6,1,13,1,6,1,13,1,7,1,29,1,7,2,6,1,13,1,6,1,7,1,6,1,13,1,7,1,6,2,7,1,6,5,7,1,6,1,13,1,6,1,13,3,6,2,13,1,6,2,7,1,13,1,6,1,13,9,8,1,13,1,9,1,13,2,8,1,13,1,6,1,13,4,6,1,13,1,6,1,13,7,7,1,13,1,6,1,7,1,6,1,7,1,6,2,7,1,13,1,7,1,13,1,6,1,13,1,6,2,7,1,6,2,13,1,30,1,13,1,6,1,13,1,6,2,13,3,7,1,6,1,7,1,6,1,30,1,13,1,6,1,13,1,6,1,13,1,30,1,29,1,13,1,30,1,6,1,30,1,13,1,6,1,13,1,7,1,30,1,6,1,13,6,6,1,13,1,6,1,13,1,6,1,13,3,7,1,13,3,6,1,13,2,7,1,13,1,6,2,13,1,29,1,6,1,13,1,6,1,13,2,30,1,13,2,6,1,7,1,13,1,8,1,13,1,7,1,13,1,6,1,13,4,6,1,13,4,6,2,13,4,6,5,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,7,1,6,2,13,1,6,1,13,1,7,1,6,1,13,3,6,11,13,1,6,3,7,1,6,2,13,1,6,3,13,1,7,1,6,1,13,1,30,1,13,1,6,1,13,1,6,3,13,2,6,1,13,1,6,1,30,1,28,1,30,2,7,2,9,1,13,3,6,1,7,1,6,3,7,1,13,3,6,3,30,1,7,2,6,4,30,1,13,3,30,1,13,3,6,5,7,1,6,2,13,1,7,1,13,1,6,1,30,1,6,1,13,7,6,1,13,2,30,1,6,1,13,1,7,1,30,1,6,1,13,2,6,1,13,4,6,1,13,1,7,1,6,2,7,1,6,1,13,3,7,1,13,1,6,1,13,1,6,2,7,1,13,1,7,1,6,1,7,1,8,1,30,1,6,2,29,1,13,4,6,3,7,2,6,1,13,1,6,1,7,1,13,2,6,2,8,1,13,1,6,1,13,2,6,2,30,1,7,1,13,1,6,1,7,2,13,1,6,1,13,2,6,1,29,1,13,1,29,1,6,1,13,1,7,1,13,1,10,1,7,1,28,3,30,1,28,1,30,1,28,15,29,1,13,1,9,1,13,1,10,1,11,1,13,1,24,1,8,1,12,1,11,1,12,1,11,1,29,1,28,17,30,2,6,1,13,1,24,2,12,3,17,3,12,1,17,3,12,1,17,4,11,1,9,1,13,1,8,1,6,1,30,2,28,2,8,1,9,1,17,3,12,1,9,1,17,1,9,2,17,1,9,2,12,2,10,1,24,1,12,2,9,1,10,1,9,1,24,1,12,2,10,1,24,1,10,2,24,1,9,1,12,1,9,1,12,1,9,1,10,2,9,1,10,1,8,1,24,1,12,2,10,1,8,1,24,1,10,1,24,1,12,1,10,1,24,2,12,4,24,1,17,2,10,1,24,1,17,4,12,1,10,1,12,2,10,1,12,1,17,1,8,1,12,1,8,1,12,1,10,1,12,3,17,1,12,2,10,1,12,2,10,1,24,1,12,1,10,1,17,3,9,1,12,3,17,1,8,1,9,1,29,1,6,2,7,1,6,1,29,1,6,4,30,1,6,7,29,1,30,3,7,1,6,1,30,1,6,2,30,1,6,1,29,1,6,3,30,1,29,1,6,2,30,1,6,2,30,2,6,1,30,1,6,2,29,1,6,2,30,1,6,1,29,1,6,1,13,1,30,1,6,4,29,1,6,1,30,1,29,2,6,2,28,1,30,1,28,1,30,1,28,1,30,2,8,1,9,1,8,1,24,1,6,1,10,1,6,1,24,1,8,1,6,1,13,1,8,2,30,1,13,2,30,1,6,2,30,1,28,1,6,1,29,2,6,1,7,1,29,1,7,2,6,2,8,2,28,1,29,2,27,1,7,1,30,1,6,1,25,1,8,1,28,1,6,1,29,1,6,4,8,1,29,1,25,1,8,2,25,1,24,1,8,1,24,3,8,1,12,1,8,1,17,1,24,1,12,1,17,1,10,1,24,1,12,1,8,1,24,1,8,1,17,1,24,2,9,1,17,2,9,1,12,2,24,1,12,2,8,1,12,2,24,7,8,2,12,1,10,1,17,1,9,1,12,4,10,1,17,3,10,1,29,4,30,1,29,1,30,1,29,1,6,1,28,1,30,2,29,2,6,1,28,1,29,1,30,2,29,1,30,2,29,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,6,1,28,1,29,1,30,1,29,1,28,1,6,2,29,1,28,1,25,1,28,1,26,1,30,1,29,1,25,1,27,1,25,2,26,1,8,1,30,1,8,1,25,3,24,1,7,1,8,1,12,1,24,1,10,1,12,1,9,2,12,2,9,1,17,2,9,2,11,1,30,1,13,3,6,1,13,3,6,1,13,3,7,1,13,1,28,2,6,2,11,1,10,1,9,1,13,1,9,1,8,1,11,1,10,2,9,1,11,2,9,1,11,1,10,2,9,2,10,1,11,1,17,1,11,1,10,1,9,2,16,1,11,1,16,2,17,1,10,1,16,2,11,2,12,1,10,1,17,12,12,1,17,1,12,1,17,2,12,2,17,1,12,2,17,2,12,1,17,2,11,1,9,1,17,1,12,1,17,1,12,1,17,1,9,1,17,1,9,1,10,1,12,2,17,1,11,1,12,2,17,1,12,1,17,2,9,1,12,1,8,1,17,3,10,1,9,1,11,1,9,1,17,2,12,1,10,1,17,1,12,1,10,1,9,1,17,1,10,1,12,1,10,1,17,2,24,1,9,1,12,1,11,1,17,1,9,1,12,1,24,1,9,1,24,1,17,1,8,1,24,1,8,1,24,5,8,1,12,1,24,1,10,1,8,1,10,1,8,1,24,1,13,1,8,1,9,3,24,1,8,1,17,1,24,1,10,2,12,1,13,1,12,1,9,1,13,1,24,2,8,2,13,1,10,1,8,1,12,1,10,1,9,1,10,1,8,1,12,1,7,1,8,1,13,1,10,1,7,1,24,2,13,1,8,1,24,1,13,2,6,1,24,3,8,1,24,1,8,1,24,1,8,1,13,1,24,1,8,1,24,1,6,1,8,1,9,1,13,1,10,1,9,1,12,1,10,1,12,1,10,2,24,1,12,1,9,1,10,1,17,1,12,1,10,1,8,1,12,1,24,1,17,1,12,1,8,1,24,2,8,3,13,1,24,1,8,1,13,1,8,1,7,1,8,1,24,1,9,1,8,2,7,1,10,1,8,1,13,1,24,2,13,2,24,1,8,1,24,1,9,1,10,1,8,2,9,1,11,1,24,1,12,1,10,1,9,1,12,1,10,1,24,1,9,1,30,1,28,12,13,1,11,1,12,1,17,3,12,1,13,2,7,1,13,1,6,1,30,1,28,1,29,1,7,1,30,1,29,2,13,1,8,1,9,2,11,1,9,1,11,1,12,1,11,1,24,1,30,1,28,7,7,1,9,2,13,1,30,1,28,30,30,1,28,3,13,1,15,1,12,1,9,1,13,1,8,1,24,1,9,1,17,1,9,1,8,1,30,1,28,2,6,2,29,1,13,2,8,1,12,1,10,1,6,1,30,1,28,2,30,1,28,1,13,1,15,1,9,1,6,1,28,1,29,1,6,3,13,1,9,1,8,1,10,1,12,1,10,1,9,2,8,1,9,1,13,1,29,1,6,1,10,1,15,1,9,1,29,1,28,2,6,1,8,1,11,1,29,1,28,48,13,1,24,1,9,1,13,1,28,7,}, {28,25,30,1,6,1,13,1,28,16,6,2,30,1,6,1,11,2,9,1,13,1,9,1,28,5,30,1,28,3,29,1,24,1,9,1,24,1,30,1,28,4,30,1,13,1,24,2,7,1,29,1,30,1,29,1,28,2,29,1,28,5,30,1,6,1,9,1,13,1,28,31,30,1,28,14,30,1,28,1,30,1,28,1,9,1,8,1,30,1,28,4,13,2,8,1,30,1,28,1,29,1,28,1,30,1,6,1,13,1,8,1,29,2,30,1,28,7,6,1,7,2,6,1,30,1,28,4,10,1,8,1,10,1,13,1,6,1,29,2,6,1,7,1,13,1,24,1,9,1,11,1,10,1,12,1,24,1,8,1,6,1,13,1,9,1,29,1,6,1,30,1,28,34,29,1,6,1,28,2,7,1,9,2,13,1,28,2,30,1,28,2,8,1,24,1,8,1,13,1,8,2,24,1,13,1,8,1,6,6,7,1,6,1,29,1,7,1,29,1,6,1,13,3,8,2,10,1,9,1,10,1,14,3,6,1,28,129,30,1,6,1,7,1,6,1,28,1,29,1,6,1,29,1,6,1,13,1,30,1,7,1,30,1,6,1,13,2,30,1,13,1,6,1,13,1,7,3,13,1,6,1,29,1,13,1,6,4,13,2,29,1,13,1,7,1,13,2,8,1,7,1,8,1,13,1,8,1,6,1,29,1,13,1,30,1,13,1,6,1,30,1,13,1,16,2,11,6,16,2,11,1,16,2,11,1,16,1,11,3,16,1,11,1,9,1,11,1,16,2,11,2,10,1,16,1,9,6,8,1,10,1,9,2,8,1,9,1,11,2,9,1,16,1,11,4,16,1,11,1,9,3,8,1,9,1,11,1,13,1,10,1,9,1,13,1,6,2,30,2,28,10,30,1,6,1,13,5,7,2,6,1,8,1,13,2,7,1,13,2,7,1,13,1,6,1,29,1,30,2,29,1,30,1,28,43,12,1,11,1,12,1,17,1,12,1,11,1,16,1,11,1,12,1,11,3,9,3,10,1,8,1,13,1,7,2,8,1,13,1,6,2,29,1,30,1,6,1,30,1,29,1,28,4,30,1,28,4,30,1,28,2,29,1,28,1,30,3,28,1,30,1,28,7,17,1,28,10,13,1,8,1,9,1,16,3,17,1,16,1,11,2,9,1,11,1,16,1,9,1,30,1,28,1,30,2,6,1,30,2,6,1,28,2,6,1,28,2,13,1,9,1,17,3,16,4,17,1,16,2,17,4,16,1,17,1,16,2,17,1,16,1,17,1,16,1,17,2,16,1,11,1,17,1,11,1,17,1,16,1,17,2,16,1,11,1,16,1,11,1,8,1,9,1,13,1,6,1,30,1,13,2,30,2,28,1,6,1,30,1,6,1,30,1,29,1,8,1,13,1,9,1,11,1,8,2,6,1,13,1,30,1,29,1,30,4,29,1,30,1,28,17,30,1,28,1,30,1,29,2,28,1,30,1,8,1,13,2,7,1,28,7,13,2,11,1,10,1,16,1,17,2,16,2,17,1,16,1,11,2,16,1,11,1,9,1,13,4,7,1,13,1,8,3,9,1,10,1,9,1,16,1,11,1,16,1,17,1,11,1,16,2,17,1,16,4,17,1,16,3,17,3,16,1,17,2,16,1,17,6,16,5,17,1,16,1,17,3,16,1,11,1,10,1,9,2,11,1,8,1,13,2,9,3,11,1,17,2,11,1,9,1,17,6,11,1,9,3,13,1,8,1,13,3,9,3,13,2,9,1,13,4,8,1,6,1,13,1,11,1,16,1,9,1,11,1,10,1,9,2,11,1,8,1,9,1,13,1,9,1,13,1,8,1,9,1,8,2,13,6,6,1,13,3,9,1,13,1,9,2,11,1,9,1,11,1,9,1,16,4,11,1,9,1,11,1,16,1,17,1,9,1,30,1,28,4,6,1,28,1,13,1,9,1,13,5,6,2,30,1,28,1,13,2,6,1,13,3,30,1,13,1,6,1,13,2,6,1,7,1,13,2,6,2,13,1,6,1,7,1,13,2,6,1,7,1,13,3,30,1,13,1,6,1,13,3,7,1,6,1,13,1,8,1,13,1,7,1,13,3,6,2,13,2,7,1,6,1,7,1,6,2,30,1,7,1,13,1,7,2,13,1,30,1,7,3,29,1,6,1,13,1,7,1,6,1,13,1,6,1,7,1,13,1,6,1,13,2,6,2,13,2,6,1,7,1,13,1,6,1,13,4,6,1,13,4,6,1,13,6,6,2,13,1,6,2,13,1,6,2,13,3,6,1,13,1,6,2,13,3,6,2,13,1,6,1,13,1,16,1,13,3,8,1,29,1,7,2,6,1,13,1,6,1,13,1,6,3,13,1,6,1,13,2,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,7,1,13,2,29,1,13,3,6,1,13,5,7,1,13,3,6,1,8,1,13,1,8,1,13,2,8,1,13,1,8,1,13,13,6,1,13,1,7,1,13,1,9,1,13,2,6,1,13,1,6,1,13,2,6,3,13,5,30,1,13,3,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,3,6,1,13,2,6,1,30,1,6,1,13,1,6,2,13,1,7,1,6,1,7,1,6,3,13,7,6,1,13,1,6,2,13,1,6,1,30,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,13,2,6,1,13,1,29,1,6,1,13,1,6,2,13,1,6,1,13,2,7,3,6,2,13,2,7,1,13,1,6,1,13,2,6,3,7,3,8,1,13,1,6,1,13,1,29,1,6,2,13,1,30,1,13,1,6,1,13,1,30,1,7,1,6,1,29,1,7,1,6,4,13,1,6,1,13,2,6,2,13,1,6,2,30,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,13,1,6,1,30,1,8,1,6,3,7,1,29,1,6,1,13,3,6,1,30,1,6,4,30,1,6,1,13,2,6,1,7,1,6,3,13,2,6,1,7,2,13,3,7,1,30,1,13,1,7,1,6,1,13,1,29,1,30,1,13,1,30,1,6,1,13,1,6,2,13,2,6,1,30,1,6,3,13,1,6,1,13,1,6,4,7,2,6,1,13,5,6,1,30,1,7,1,29,1,13,2,7,1,30,1,13,4,6,3,13,2,6,4,30,1,6,1,13,2,6,1,30,1,6,1,30,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,13,2,30,1,7,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,13,2,30,2,7,2,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,3,28,1,7,1,13,1,6,1,13,1,6,1,13,2,29,1,13,5,6,1,13,2,6,1,13,1,6,1,13,1,6,4,7,1,6,2,13,1,9,1,13,1,28,21,29,1,6,1,12,1,7,1,9,1,8,2,9,1,24,1,10,1,12,1,17,2,13,1,28,18,29,1,6,1,7,1,13,1,24,1,12,2,17,1,10,1,17,8,10,1,12,1,17,1,11,1,17,11,12,1,9,1,10,1,12,1,10,3,9,1,12,1,8,1,24,1,12,1,10,1,24,1,12,2,24,1,9,2,24,1,10,1,12,1,10,1,24,1,10,1,9,1,24,1,8,1,10,1,8,1,9,1,13,1,24,1,12,1,8,1,7,1,8,1,10,1,24,2,8,1,24,2,8,1,10,1,24,1,12,2,17,1,10,2,24,2,12,1,10,1,12,1,8,1,12,1,8,1,17,1,12,1,17,3,10,1,12,2,17,1,12,3,24,1,12,1,10,1,17,1,8,1,10,1,17,1,12,1,17,2,12,4,17,1,10,1,17,3,12,4,11,1,13,1,6,4,13,1,29,2,6,5,30,2,6,3,30,1,6,1,30,1,6,2,29,1,6,3,30,1,29,1,6,1,29,1,6,2,30,1,6,3,30,1,6,1,28,1,13,1,6,2,28,1,6,1,28,1,29,1,30,1,6,2,30,1,6,1,30,1,6,1,29,1,30,1,6,1,29,1,6,2,30,1,6,2,7,1,30,1,6,2,7,1,13,1,30,1,6,1,30,1,6,2,13,1,16,1,8,1,13,1,7,1,13,1,24,1,8,1,13,1,8,3,6,2,7,2,8,1,6,5,7,1,6,1,29,1,7,2,6,2,8,1,13,1,6,4,29,1,6,1,27,1,6,1,8,1,7,1,6,1,13,1,29,1,30,3,29,2,25,1,8,1,24,1,27,1,25,1,24,6,12,1,8,1,24,2,12,1,24,1,12,2,17,1,12,2,8,1,10,1,9,2,24,1,10,1,9,1,24,2,10,3,9,1,17,1,13,1,24,2,12,1,8,1,10,1,24,3,8,1,10,1,24,2,9,1,10,1,12,5,17,1,12,1,17,1,12,1,8,1,28,1,30,1,29,1,6,1,29,1,6,1,7,1,30,1,6,1,29,1,28,1,29,3,6,1,28,1,29,1,30,1,29,1,30,1,6,2,27,1,29,1,6,2,30,1,6,1,28,1,6,1,30,1,28,1,29,1,28,1,30,1,6,1,28,1,29,1,30,2,6,1,28,1,30,1,25,2,26,1,27,1,25,1,27,1,25,1,26,1,25,1,6,1,29,1,8,2,24,1,8,1,7,1,24,1,8,1,12,2,10,1,24,1,10,2,9,1,12,1,10,2,9,1,17,1,12,1,9,1,28,1,6,1,7,2,13,6,6,2,13,1,6,1,13,1,6,1,28,2,6,2,13,2,8,1,13,1,9,1,10,1,11,1,8,1,9,2,10,1,8,1,13,1,9,1,10,1,9,2,11,1,9,1,6,2,30,1,11,1,17,1,11,1,16,1,9,1,16,1,11,1,10,2,9,1,17,1,16,1,17,11,11,2,17,2,9,1,17,1,12,1,17,2,12,2,10,1,17,2,10,1,11,1,24,1,11,1,10,1,11,1,12,2,24,1,12,1,9,1,11,1,12,1,11,1,24,1,9,1,17,1,12,1,17,1,12,2,9,1,17,1,11,1,17,2,12,2,10,1,17,7,8,1,17,1,12,3,10,1,12,3,8,1,9,1,24,1,11,1,10,1,8,1,12,1,8,2,12,1,10,1,12,1,10,1,8,1,9,1,10,1,24,2,12,1,24,3,8,2,24,1,12,2,24,1,12,1,13,1,24,1,8,1,24,2,10,1,11,1,10,1,24,4,8,1,12,1,24,2,8,3,24,1,8,1,9,1,8,1,10,1,8,1,24,1,12,1,13,1,24,2,10,1,13,1,7,1,24,2,8,2,24,2,8,1,10,1,13,2,9,1,24,1,10,1,8,1,24,1,8,3,7,1,8,1,24,2,8,3,12,3,9,1,11,1,10,1,24,1,10,1,12,1,24,1,10,1,24,1,13,1,24,1,17,1,24,2,8,1,12,1,8,1,12,1,10,1,13,1,10,2,17,1,10,1,24,2,17,1,10,1,7,1,12,1,10,1,8,1,10,1,12,1,24,1,9,1,10,1,8,1,13,2,10,1,9,1,24,1,9,1,10,1,24,1,10,1,13,1,10,2,9,1,10,1,24,1,9,1,10,1,9,2,8,1,13,1,28,13,29,1,14,1,12,1,9,1,17,2,8,1,6,1,7,1,6,3,7,2,30,1,29,2,30,1,6,1,30,1,10,2,15,2,14,1,10,1,12,2,9,1,30,1,6,1,28,5,6,1,8,1,24,1,13,1,6,1,29,1,28,33,6,1,24,1,14,1,12,1,24,2,13,1,7,1,15,2,9,1,24,1,13,1,6,1,13,1,6,1,29,1,8,1,7,1,8,1,12,2,8,1,7,1,30,1,28,4,8,1,10,1,9,1,6,1,30,1,29,1,6,1,13,1,7,2,9,2,15,1,9,1,15,1,9,1,17,1,13,1,6,1,13,1,30,1,13,1,10,1,9,2,29,1,28,2,30,1,10,1,9,1,29,1,28,22,30,1,28,25,24,1,9,1,8,2,28,7,}, {28,7,30,1,28,18,6,1,28,16,30,1,13,1,30,3,9,1,11,1,8,1,9,1,13,1,29,1,28,3,29,1,28,5,7,1,24,1,8,1,29,1,28,5,13,1,9,1,7,1,8,1,30,1,28,1,6,1,29,1,28,8,13,1,10,1,24,1,30,1,28,28,30,1,28,3,30,1,28,15,29,1,8,1,10,1,30,1,28,3,30,1,6,1,13,1,29,1,6,1,28,1,30,1,6,1,13,1,8,1,7,1,8,1,13,1,6,1,28,7,13,1,6,1,24,1,6,1,30,1,28,5,10,1,14,1,9,1,6,1,30,1,6,1,30,1,6,1,13,2,24,1,12,1,10,1,12,1,24,1,12,1,8,1,6,1,13,1,30,1,7,1,6,1,29,1,28,38,30,1,8,1,14,1,7,1,6,1,30,1,28,3,8,1,12,1,24,1,15,1,8,1,24,1,9,1,8,2,13,1,30,1,6,1,30,1,13,1,7,1,13,1,6,2,29,1,13,3,8,1,7,1,24,1,9,1,13,1,15,2,12,1,14,2,13,1,28,130,6,1,28,1,6,1,30,4,6,1,28,1,30,1,6,1,7,1,6,1,13,1,6,2,13,1,8,1,7,1,13,2,6,2,7,1,30,1,6,1,7,1,6,1,13,2,6,2,13,2,6,1,9,1,7,1,9,1,13,2,9,1,13,1,6,2,29,1,30,1,6,1,13,1,11,1,16,1,11,4,9,1,11,2,16,7,11,1,16,3,11,2,16,2,11,2,16,1,9,2,11,2,9,9,10,1,8,1,9,1,8,1,11,2,10,1,11,3,16,1,11,4,9,2,8,1,9,2,6,1,13,1,6,2,30,1,28,12,6,1,7,1,13,1,6,1,8,1,6,1,7,1,13,1,7,1,9,1,13,1,7,1,8,1,13,1,29,1,7,1,6,2,28,1,30,1,28,45,13,1,8,1,17,1,11,2,16,1,11,1,16,1,10,1,16,1,11,1,9,1,11,1,10,1,9,2,13,1,8,1,7,1,8,1,13,1,6,1,13,2,28,1,6,1,29,1,6,1,28,2,30,1,29,1,28,4,30,1,28,5,30,1,29,2,28,1,6,2,28,7,9,1,13,1,28,9,30,1,28,1,6,1,13,1,17,5,16,1,11,1,16,1,9,3,30,1,28,3,6,1,13,3,28,1,30,1,28,4,8,1,16,2,17,10,16,1,17,2,16,1,17,2,16,1,17,2,16,1,8,1,11,1,9,1,11,1,9,1,11,1,16,1,11,1,16,1,17,2,16,3,11,2,16,3,11,1,10,1,16,2,9,1,16,1,17,1,11,3,17,1,16,1,10,1,16,1,17,1,16,1,9,1,13,2,7,1,6,1,29,1,28,1,29,1,30,1,28,6,29,1,28,10,6,1,28,4,6,1,13,1,9,2,13,1,6,1,30,2,7,1,30,1,13,1,6,1,9,2,16,1,17,1,16,3,17,1,16,3,9,1,16,1,11,1,16,2,11,1,16,1,11,1,16,1,9,1,10,1,9,1,11,2,9,1,16,1,9,2,11,4,16,1,11,1,17,1,10,1,16,2,11,1,16,6,17,5,16,2,17,3,16,3,11,1,16,1,17,1,16,2,17,2,16,1,17,1,11,2,9,3,13,3,9,2,13,1,9,3,16,1,17,4,16,1,17,1,11,1,17,1,9,1,10,1,9,1,10,1,9,1,8,1,13,4,9,1,6,1,7,1,13,1,8,1,13,1,9,2,13,2,9,1,13,2,16,1,11,1,16,1,9,1,13,1,9,1,16,1,9,1,13,1,9,3,13,2,8,1,9,1,13,1,9,1,13,9,9,1,8,2,9,2,11,1,9,2,11,1,13,1,16,1,9,1,16,3,9,2,28,5,13,3,7,1,13,1,29,1,13,1,6,1,28,1,30,1,6,1,30,1,28,1,6,1,7,1,13,1,7,1,8,1,13,2,6,1,13,2,6,1,13,3,30,1,13,3,6,1,7,1,13,4,6,1,13,2,6,1,13,2,6,1,13,2,9,1,6,1,8,1,29,1,13,2,6,1,13,1,6,1,13,5,6,2,13,1,7,1,13,1,6,1,13,1,29,1,6,1,29,1,6,1,13,1,6,2,7,1,30,1,6,1,8,1,6,4,7,1,13,2,6,1,13,1,6,1,13,1,6,3,13,1,6,1,13,1,6,2,13,4,6,1,13,5,6,3,13,1,6,1,7,1,6,1,13,1,6,2,13,1,6,1,13,3,7,1,13,4,7,1,13,1,6,4,13,1,11,1,13,1,7,1,6,1,13,1,6,1,13,2,6,1,7,1,6,1,13,3,6,1,7,1,6,1,7,1,13,1,6,1,13,1,6,1,13,2,30,1,13,2,7,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,7,6,1,9,1,13,3,8,1,13,1,6,1,13,2,8,1,13,1,8,1,13,1,7,1,13,1,6,1,7,1,13,2,6,1,13,2,6,1,13,1,6,1,13,2,6,1,7,1,6,1,13,1,6,1,13,2,30,1,6,2,13,4,7,1,13,1,6,1,7,1,6,1,13,4,6,3,9,1,13,1,30,1,6,1,13,3,6,2,13,1,6,4,13,2,6,1,13,1,6,2,7,1,13,4,6,1,7,3,6,2,13,1,6,1,7,1,13,2,6,2,13,3,6,1,13,1,6,1,13,1,6,1,13,4,6,2,13,1,6,1,13,1,7,1,13,2,7,1,13,2,30,1,13,1,6,2,13,2,6,2,7,1,6,3,13,1,30,1,7,2,13,3,6,1,13,1,6,3,30,1,6,3,13,1,6,1,13,1,6,4,29,2,7,1,6,2,13,1,6,1,13,1,6,1,7,1,6,2,13,3,6,2,13,1,6,2,13,1,6,1,13,1,6,3,13,1,6,1,30,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,7,1,6,2,13,1,8,1,13,2,6,1,13,1,30,1,6,1,13,2,9,1,13,2,7,1,13,1,7,1,6,1,13,1,30,1,13,2,6,1,30,1,6,5,30,1,6,2,7,1,6,1,30,1,13,2,6,1,13,2,7,2,30,1,13,1,29,1,13,1,7,1,6,2,13,4,6,4,13,1,6,1,13,2,6,1,13,3,6,1,13,2,6,2,7,2,6,2,29,1,13,2,6,2,13,2,7,1,13,1,6,3,13,1,6,1,13,2,6,1,30,1,7,1,6,3,13,2,6,2,13,3,6,2,13,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,29,1,6,1,13,2,29,1,7,1,6,2,13,3,6,1,13,2,6,1,13,2,6,2,13,1,6,1,13,2,7,2,6,2,30,2,6,1,29,1,30,1,7,1,13,1,11,1,29,1,28,3,30,1,28,18,13,1,9,1,24,1,11,1,9,1,13,1,24,1,13,1,9,1,12,2,17,1,8,1,28,19,30,1,7,1,13,2,9,2,12,1,17,7,9,1,17,2,12,1,10,1,11,1,12,1,10,1,17,1,12,1,17,6,12,2,10,1,12,2,17,1,12,1,9,1,24,1,10,1,12,1,9,3,12,1,10,1,12,3,24,1,10,1,9,1,24,3,8,2,10,1,8,1,24,1,8,1,12,1,8,1,10,1,24,1,8,2,13,1,10,1,24,1,12,1,24,1,13,1,12,1,10,1,8,3,24,2,12,1,17,2,12,1,17,1,8,1,10,2,17,1,24,1,12,2,10,2,17,1,24,1,9,1,24,1,13,1,8,1,12,1,10,2,17,1,10,1,24,1,10,1,12,1,10,1,17,1,10,1,17,1,10,1,12,2,10,1,17,1,12,3,17,2,12,3,10,1,28,1,29,1,6,2,29,1,6,4,7,1,30,2,6,3,29,1,6,2,30,2,6,1,30,1,6,3,30,1,6,3,28,1,29,1,30,1,29,1,6,2,29,1,6,2,30,2,13,1,6,1,30,1,6,1,29,1,6,2,30,1,6,1,29,1,30,1,6,3,30,1,6,1,30,1,6,1,7,1,6,1,30,1,7,2,6,1,29,1,6,1,13,1,6,1,7,1,13,1,30,1,28,1,13,1,6,1,11,2,9,1,10,1,8,1,24,1,8,2,24,1,13,3,7,1,24,1,13,1,6,1,7,1,6,1,7,1,6,1,7,1,6,1,29,1,13,1,6,1,7,1,29,1,24,1,8,2,10,1,7,1,6,1,30,1,29,2,6,1,30,1,6,1,30,1,8,2,29,1,30,3,29,1,13,1,29,1,6,1,24,2,25,1,24,3,13,1,10,1,12,1,10,1,6,1,24,1,10,1,8,1,9,1,17,1,24,1,17,1,24,2,9,2,24,2,10,1,8,2,24,1,12,1,17,3,12,1,24,1,12,1,17,1,12,1,9,1,24,1,10,2,12,1,10,1,24,1,12,1,8,1,12,3,17,1,10,2,9,1,17,1,12,1,17,1,12,2,24,1,6,1,29,2,28,1,7,1,6,1,30,1,28,1,29,2,6,1,7,1,30,1,7,1,29,2,6,1,29,1,6,1,29,6,6,1,29,1,30,1,7,1,30,4,28,1,13,1,30,1,28,1,7,1,6,1,30,1,29,1,30,2,25,1,30,1,29,1,27,1,29,1,26,1,25,1,29,1,27,1,8,2,25,1,7,1,25,1,7,1,8,1,7,1,24,1,8,1,24,1,10,1,24,1,17,1,8,1,17,1,12,2,9,1,11,1,10,1,12,1,9,1,11,1,13,2,7,1,13,2,7,2,13,5,7,1,13,6,7,2,13,1,28,1,30,1,6,2,8,1,17,1,12,1,17,2,11,1,17,1,9,2,8,1,13,1,7,1,30,1,6,1,30,1,9,1,11,1,16,1,10,1,17,1,11,2,16,1,11,1,17,11,11,1,17,1,11,1,12,1,17,4,12,1,9,1,17,2,24,1,9,2,12,2,10,3,9,1,12,1,10,1,11,1,24,1,12,1,9,1,17,1,9,1,10,1,17,1,9,1,24,1,12,3,9,1,12,1,24,1,17,1,24,1,12,1,13,1,12,2,17,2,12,2,10,1,17,2,10,1,17,1,10,1,17,1,12,1,24,1,12,1,9,1,24,1,9,1,12,1,17,1,9,1,17,2,12,1,17,1,10,1,11,1,10,1,17,1,24,1,12,1,8,1,24,1,9,1,13,1,10,2,24,1,9,1,24,2,8,1,24,2,8,1,13,1,10,1,9,1,12,1,9,2,12,1,8,1,17,1,9,1,24,1,10,1,9,2,12,1,24,2,17,1,24,2,13,1,8,1,13,1,24,1,8,2,9,1,12,1,13,1,24,1,8,1,24,1,6,1,10,1,7,1,10,1,8,1,24,2,8,1,13,1,24,1,8,2,10,1,12,1,13,1,8,1,24,4,9,1,24,1,8,1,10,1,24,3,9,1,8,1,10,2,12,1,13,1,10,2,12,1,24,2,10,1,13,1,12,1,9,1,24,1,12,1,24,1,12,1,8,1,10,1,24,4,8,1,24,1,9,1,10,1,8,2,10,1,9,1,24,1,10,2,24,1,12,3,7,1,24,1,9,1,12,1,24,1,8,1,7,1,13,1,24,1,8,1,10,1,24,1,8,1,12,1,8,1,13,1,8,1,9,1,8,3,9,3,28,13,6,1,17,5,9,1,13,2,6,1,7,1,6,1,29,2,6,1,28,1,30,1,6,1,7,1,13,1,8,1,24,1,12,1,14,3,16,1,11,1,9,1,6,2,28,6,9,3,6,2,30,1,28,33,13,1,15,1,12,1,9,1,6,1,13,2,12,1,14,1,9,1,24,1,29,1,30,2,7,1,13,3,8,1,13,1,11,1,17,1,13,1,30,1,28,4,8,1,14,1,13,1,30,2,6,1,29,1,7,1,13,2,9,1,12,1,9,1,15,1,10,1,17,1,9,1,8,2,6,1,29,1,7,1,9,1,16,1,13,1,30,1,28,2,29,1,8,1,9,1,30,1,28,48,7,1,9,2,6,1,28,7,}, {28,24,13,1,6,1,28,17,6,2,13,1,28,1,13,1,9,1,12,1,8,1,9,1,13,1,30,2,28,1,30,1,28,5,6,1,8,1,12,1,8,1,28,6,7,1,24,1,13,1,8,1,6,1,28,11,13,1,12,1,8,1,28,33,30,1,28,11,30,2,28,2,6,1,8,1,12,1,7,1,28,3,29,2,24,1,8,1,28,1,30,1,7,1,6,1,13,2,6,1,13,1,6,3,28,6,13,1,29,1,9,1,30,1,28,6,8,1,10,1,8,1,13,1,30,1,28,3,24,1,8,1,24,1,8,1,24,2,12,1,24,1,8,2,6,2,8,1,13,1,28,36,30,1,6,1,30,2,15,1,9,1,6,3,28,3,13,1,14,1,24,1,10,1,24,4,8,2,6,1,13,1,29,1,30,1,13,1,6,1,29,1,30,1,13,1,30,1,13,3,9,2,24,2,9,2,17,1,14,2,7,1,28,65,30,1,28,64,30,5,6,2,29,1,13,2,29,1,6,2,8,1,30,1,8,1,13,4,6,2,13,1,7,1,6,1,7,1,8,1,6,5,13,1,7,1,6,1,13,1,30,1,13,2,8,2,13,1,6,1,29,1,6,1,30,1,8,1,10,1,17,1,16,1,11,4,17,1,9,1,11,5,16,3,11,1,16,5,11,1,9,1,11,1,9,1,11,1,9,4,8,1,9,4,8,1,9,2,13,1,9,5,11,3,9,1,11,2,16,2,11,1,9,1,10,1,9,3,13,1,8,1,6,2,28,1,30,1,28,11,29,1,6,1,7,1,13,1,6,1,8,1,13,1,9,1,6,1,9,1,24,1,13,1,8,1,13,1,8,1,7,1,6,1,28,1,30,1,28,47,8,1,17,3,12,1,11,2,16,1,11,1,12,1,11,1,9,1,11,1,9,1,8,1,24,1,8,1,13,1,8,1,6,1,8,1,6,1,13,1,6,1,28,1,6,1,30,1,28,1,6,1,28,2,30,1,28,7,30,1,28,2,29,2,30,1,29,1,28,1,30,2,28,6,9,1,28,14,13,1,9,1,16,1,17,1,16,1,17,1,16,1,9,1,11,1,9,1,13,1,30,1,28,1,30,2,13,3,6,1,13,1,28,5,6,1,11,1,16,1,17,1,16,3,17,4,16,1,17,1,16,3,17,2,16,2,11,1,9,1,13,5,7,1,13,1,9,2,11,1,16,1,11,1,16,5,11,1,16,10,17,1,11,1,16,5,11,1,16,2,9,1,11,1,13,1,6,1,30,1,13,1,30,2,6,1,28,2,30,2,28,9,6,1,30,1,6,1,13,1,6,1,13,2,9,1,17,1,9,1,11,1,9,1,7,1,30,1,6,1,30,1,6,1,9,1,11,1,16,10,11,1,16,3,11,2,16,2,11,2,10,1,16,1,9,1,11,1,9,2,11,1,9,3,11,4,10,1,16,4,11,1,16,9,11,1,16,1,17,1,16,2,17,1,16,1,11,1,17,1,16,1,11,2,16,2,17,2,16,3,13,5,9,1,13,1,9,1,13,1,8,1,13,2,8,1,9,1,16,2,17,5,11,1,17,1,9,2,13,1,6,1,13,2,6,1,8,1,7,1,8,1,13,1,30,1,13,2,6,1,13,1,9,1,11,1,13,1,9,3,17,1,9,1,11,1,13,2,9,1,10,1,9,2,13,3,9,1,8,1,9,1,13,3,8,1,9,1,13,5,6,1,13,1,9,3,13,1,11,2,17,1,11,1,16,2,17,1,16,1,9,1,16,1,17,1,9,1,11,1,28,4,30,1,28,1,6,1,30,1,13,1,6,2,13,1,30,1,6,3,28,2,30,1,13,1,7,1,6,4,13,3,6,1,7,1,6,1,13,2,6,1,13,1,7,1,13,1,30,1,7,1,13,1,6,1,13,2,6,1,13,2,6,2,13,6,6,1,13,1,6,4,13,2,6,3,7,1,6,1,7,1,13,1,6,2,29,1,6,1,7,1,30,1,13,3,29,1,13,1,29,1,7,1,6,1,7,1,6,1,13,1,6,2,13,1,6,1,13,1,6,2,13,1,7,1,6,2,13,1,7,1,6,2,13,1,7,1,13,8,6,1,13,2,6,2,7,2,13,2,6,1,13,2,7,1,6,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,6,1,7,1,6,1,8,1,6,1,30,1,6,1,17,1,13,1,7,1,13,1,6,3,13,3,7,1,6,1,13,1,30,1,6,1,7,1,13,1,6,7,13,2,6,1,13,4,8,1,13,3,7,2,13,2,29,1,13,19,8,1,13,4,6,1,13,1,7,1,13,1,6,1,13,5,30,1,13,2,7,2,6,2,7,1,6,2,13,1,6,1,13,1,7,1,13,2,6,1,13,1,6,1,7,1,13,1,6,2,13,3,6,5,13,6,30,1,7,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,6,5,13,1,6,1,13,3,6,1,13,1,30,1,6,1,29,1,13,1,6,1,13,1,7,1,13,1,6,1,13,3,7,1,13,4,6,1,13,1,6,1,13,10,6,5,7,1,30,1,13,1,7,2,13,1,6,1,13,1,7,1,6,5,13,1,30,1,6,2,28,1,29,1,6,1,13,3,6,1,13,1,6,2,30,1,6,1,13,1,6,3,13,2,30,1,6,4,13,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,30,1,13,1,6,1,29,1,6,1,13,1,6,5,7,2,6,2,13,1,30,1,13,1,7,1,29,1,13,1,6,1,13,2,6,1,13,1,30,1,6,2,13,2,8,1,13,2,6,1,13,1,6,3,30,3,6,3,13,2,28,1,6,1,13,1,7,1,13,2,29,1,13,1,7,1,13,1,7,1,13,1,29,1,6,1,13,1,6,1,13,1,29,1,13,1,7,1,13,1,6,1,13,1,30,1,13,1,6,3,8,1,28,1,6,2,13,3,29,1,7,1,13,1,6,4,7,1,13,1,6,6,30,1,6,1,13,1,6,1,7,2,13,2,6,1,13,2,30,1,29,2,6,1,13,1,6,3,13,1,6,1,30,1,13,1,6,4,7,1,6,4,7,1,13,1,6,1,13,5,6,2,13,1,6,1,13,1,6,3,13,4,6,1,13,8,7,1,13,1,6,1,13,1,29,1,13,1,30,1,6,2,30,1,6,1,9,1,6,1,28,22,8,1,24,1,13,1,10,1,24,1,13,1,9,1,8,1,9,1,17,3,12,1,6,1,28,18,30,1,6,1,7,1,24,2,10,1,12,1,17,10,12,1,9,1,12,1,17,12,12,1,9,2,24,1,9,1,12,2,10,2,24,1,12,2,17,1,10,4,13,1,9,1,10,1,8,1,24,1,12,1,10,1,12,1,10,1,8,1,9,1,24,1,9,1,24,1,8,1,10,1,8,1,9,1,8,1,24,1,8,1,10,1,8,1,24,1,10,1,13,1,24,3,9,1,8,1,12,1,24,1,12,4,17,1,10,1,12,2,17,4,10,1,24,1,12,2,17,1,12,3,24,1,17,1,12,1,17,1,12,1,10,1,12,2,9,1,10,1,12,2,17,3,12,2,17,1,12,1,17,1,12,2,10,1,17,1,28,1,6,7,30,1,6,3,30,2,6,3,30,2,29,2,6,1,30,1,6,3,29,2,6,1,29,2,13,1,29,1,28,1,30,1,6,1,29,2,6,2,13,1,6,6,30,2,6,1,30,1,6,1,30,1,6,3,30,2,6,3,30,1,6,3,13,1,6,2,13,1,6,2,7,1,6,1,13,1,12,1,24,1,9,1,7,1,8,1,7,2,8,4,13,1,24,1,8,1,6,1,8,1,7,1,13,1,30,1,7,1,30,1,8,1,13,1,30,1,13,1,30,1,8,3,6,1,7,1,28,1,7,1,6,1,30,1,6,1,27,1,29,1,28,1,6,1,29,1,8,1,7,1,28,2,30,1,6,2,29,1,7,1,25,1,24,1,8,1,24,1,8,1,13,1,24,1,12,2,8,1,13,1,9,1,8,1,17,1,9,1,17,1,24,1,10,1,8,1,12,2,13,1,24,1,12,1,9,1,10,1,24,1,17,1,12,1,17,1,12,1,9,1,17,2,24,1,12,4,10,1,8,1,9,1,12,1,10,2,12,2,10,1,9,1,17,1,12,1,24,1,10,1,12,2,17,1,12,1,13,1,30,1,28,1,30,2,29,2,30,2,6,3,29,1,30,1,29,2,7,1,30,1,6,1,28,2,29,1,25,1,30,1,29,1,8,1,30,1,6,1,7,1,29,1,6,2,29,1,30,1,29,1,30,1,29,1,28,1,6,1,25,1,29,1,6,1,30,1,28,1,29,1,26,2,29,1,25,1,26,1,25,2,27,1,25,1,24,1,26,1,25,4,24,3,8,1,24,1,12,1,24,1,17,1,10,2,9,2,12,2,11,3,12,1,30,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,7,1,13,1,7,1,13,1,6,1,7,1,13,2,6,2,13,1,7,1,13,1,7,1,8,1,10,2,9,2,13,2,6,2,8,1,13,2,9,1,17,2,12,1,17,2,11,1,17,2,16,1,11,1,17,8,12,2,17,3,9,1,12,1,17,4,9,1,17,1,12,5,11,2,9,1,11,1,12,1,11,1,17,1,9,1,17,1,9,1,24,1,17,2,13,1,10,1,12,1,9,1,17,1,10,1,12,1,17,1,9,1,10,1,12,1,10,1,8,1,17,2,24,1,17,3,12,1,17,1,10,1,12,1,10,2,17,2,12,3,11,1,12,1,9,1,12,1,24,1,9,1,17,1,12,1,10,1,9,1,8,1,17,1,8,1,12,1,10,2,12,1,24,3,10,1,8,1,9,1,24,1,10,1,24,2,7,1,9,1,12,1,9,1,24,1,8,1,24,1,10,4,24,1,9,1,8,1,24,2,9,1,8,1,24,1,10,2,9,1,8,1,12,1,7,1,8,2,9,1,8,3,24,1,13,1,24,1,8,1,24,1,8,1,24,1,7,1,24,2,8,1,24,1,8,1,10,1,13,1,8,1,7,1,8,2,24,1,17,1,7,1,24,2,8,2,13,1,24,1,9,1,13,1,10,1,12,1,8,1,13,1,10,1,17,1,10,1,24,1,10,1,24,1,8,3,24,1,8,1,13,1,24,2,7,1,12,1,13,1,12,1,24,2,12,2,10,1,12,1,10,1,9,1,12,1,8,1,24,1,9,1,10,1,9,1,8,2,24,2,10,1,24,1,13,1,12,1,8,1,10,1,9,3,8,1,24,1,8,1,24,1,10,1,8,4,7,1,8,1,24,1,8,2,11,1,28,12,30,1,7,1,17,2,12,1,17,1,12,2,7,1,30,1,6,1,13,1,8,1,13,1,30,1,6,2,29,1,30,1,6,1,29,1,6,1,9,1,12,1,11,1,14,2,17,2,8,1,28,7,30,1,9,1,10,1,8,1,29,1,30,1,28,34,8,1,9,1,10,1,8,1,13,1,6,1,8,1,9,1,15,1,12,1,13,1,6,1,29,1,7,1,6,1,13,4,17,1,12,1,17,1,7,1,28,3,30,2,24,1,12,1,8,1,30,2,29,2,8,1,6,1,8,1,10,2,9,1,14,1,15,2,9,1,6,1,13,1,7,1,13,2,9,1,15,1,9,1,28,3,6,1,9,1,13,1,29,1,28,48,9,1,24,1,9,1,28,8,}, {28,6,30,1,28,14,30,2,8,1,29,1,28,16,30,1,13,1,29,1,30,1,28,1,6,1,8,1,11,1,8,2,12,1,13,2,6,1,28,1,29,1,28,6,13,1,8,1,24,1,6,1,28,5,7,1,24,1,12,1,8,1,29,1,6,1,28,1,30,1,28,8,30,1,14,1,15,1,28,47,29,1,28,1,13,1,24,1,8,2,28,4,6,1,10,1,13,1,30,1,28,2,13,3,7,2,6,2,28,6,30,1,29,1,6,2,8,1,28,1,29,1,28,4,9,1,8,1,13,1,6,1,30,2,6,2,24,1,6,1,13,1,24,1,9,2,10,2,13,1,6,1,7,1,6,1,13,1,7,1,30,1,28,35,29,1,28,1,29,1,30,1,8,1,24,1,8,1,13,1,28,4,6,1,14,1,12,1,15,1,9,1,14,1,24,2,8,1,13,2,30,1,6,1,7,2,13,1,8,1,6,1,29,1,6,2,8,2,13,1,8,1,24,1,12,1,24,2,8,1,14,2,8,1,28,133,29,2,13,3,6,1,13,1,8,1,13,1,6,2,13,1,6,1,13,1,6,1,28,1,6,1,13,1,8,1,13,2,29,1,6,1,8,1,29,1,13,1,30,1,13,1,7,1,6,2,13,1,6,3,7,1,13,3,6,2,13,1,16,1,17,2,9,1,16,5,11,4,16,1,10,1,16,5,11,1,16,1,11,1,17,1,10,1,16,1,9,1,11,1,9,1,16,1,9,1,11,1,9,1,10,1,9,6,8,1,9,1,13,1,9,5,11,2,16,1,11,2,16,1,11,1,10,1,16,1,11,2,9,2,13,1,8,1,13,2,30,1,28,13,6,1,7,1,6,1,13,1,8,2,9,2,13,1,9,1,13,1,9,1,7,1,8,1,7,2,28,1,29,1,30,1,28,46,8,1,11,1,9,1,11,1,10,1,16,1,10,1,9,1,8,1,11,3,9,2,8,1,9,2,13,5,29,1,13,1,6,1,30,1,28,1,30,1,28,8,6,1,30,1,28,2,29,1,28,4,30,1,28,2,30,1,6,1,30,1,28,4,30,1,16,1,28,15,13,1,8,1,17,2,11,1,16,2,9,2,13,1,28,4,13,4,30,1,28,6,30,1,9,1,16,6,17,5,16,2,17,1,16,2,11,1,9,2,28,2,6,1,9,1,13,3,30,2,13,2,11,2,16,1,9,1,11,1,16,3,11,1,16,1,9,1,16,1,11,5,16,4,11,1,9,1,17,1,16,1,9,1,16,4,9,1,10,1,13,1,9,1,13,3,28,1,6,1,28,2,30,2,28,1,6,1,30,1,29,1,28,1,29,1,13,1,9,1,13,1,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,13,1,9,1,11,1,16,9,11,2,16,5,11,1,16,2,9,1,10,1,11,1,9,1,11,1,9,1,10,1,9,1,11,2,9,1,11,1,9,1,11,2,9,1,11,1,9,1,16,1,11,1,16,1,11,1,16,1,11,1,16,2,10,1,16,1,17,1,16,1,11,1,9,1,11,1,9,1,16,1,11,1,16,3,11,2,16,1,17,1,16,2,17,4,16,1,11,1,16,1,13,1,9,1,13,2,9,3,13,1,9,1,8,1,13,3,9,1,13,1,11,2,16,1,17,3,10,1,17,1,9,1,13,1,9,1,13,1,6,1,13,1,8,2,13,1,10,1,9,1,6,1,13,1,6,1,13,2,9,1,8,1,9,1,11,1,10,1,11,1,16,1,9,1,13,1,6,1,9,2,16,1,9,1,13,1,9,1,13,1,9,1,8,1,13,6,9,1,8,1,13,3,6,1,13,2,9,2,13,1,9,2,11,1,16,2,11,5,16,1,17,1,11,2,28,5,6,1,30,2,13,1,6,1,13,1,7,2,13,2,6,2,28,2,13,2,6,1,13,3,6,1,13,3,7,1,6,1,13,5,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,2,6,3,30,1,6,2,13,3,6,1,8,1,6,2,30,1,13,1,7,1,13,1,7,1,6,2,13,3,6,3,13,1,30,1,6,3,13,2,7,1,13,1,30,1,6,1,28,1,6,1,7,1,6,2,30,1,13,1,30,1,13,1,6,2,29,2,13,1,29,1,13,1,6,2,13,2,6,1,13,1,7,1,13,3,6,1,13,5,7,1,6,2,13,9,30,1,13,1,30,1,13,1,7,1,13,1,6,1,30,1,13,2,8,1,17,1,13,3,29,1,13,2,6,1,29,1,13,2,7,1,13,1,6,1,7,1,13,1,7,1,13,3,6,1,13,4,6,1,13,2,6,1,13,1,6,1,13,1,6,2,13,2,6,1,13,3,7,1,13,3,6,2,13,2,6,1,7,1,13,6,7,1,9,1,13,3,8,1,13,7,7,3,13,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,29,1,13,1,6,2,7,1,6,3,29,1,7,1,13,2,6,3,13,4,29,1,13,1,7,1,13,3,6,1,13,2,6,1,13,3,6,2,13,4,6,1,13,2,30,1,13,3,7,1,6,1,13,1,6,2,13,3,6,1,7,1,6,1,13,3,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,8,1,13,4,6,1,13,3,6,1,13,1,7,1,13,2,30,1,13,2,6,1,13,1,6,2,13,1,6,3,13,1,7,1,13,2,6,1,13,1,6,1,7,1,13,1,6,2,13,2,6,1,13,1,6,1,13,2,6,1,7,1,6,1,13,5,6,4,13,2,6,1,13,1,6,1,13,3,30,1,13,1,30,1,13,4,6,1,13,1,6,1,13,2,8,1,6,4,29,1,6,1,13,2,30,1,6,2,13,2,7,1,13,2,7,2,29,1,8,2,13,3,30,1,13,1,6,2,13,2,6,1,13,2,30,1,6,1,13,1,6,1,13,1,6,3,7,1,6,1,7,1,6,1,7,1,6,1,13,3,29,1,13,1,7,1,13,4,7,1,13,3,6,1,13,1,7,1,6,1,13,1,7,3,13,1,6,1,8,1,13,1,6,1,13,6,6,1,7,1,6,1,13,3,6,1,30,1,13,2,6,1,13,1,6,1,13,1,6,1,7,2,13,1,6,3,13,1,6,1,29,1,7,1,13,1,6,2,30,1,6,1,13,1,30,1,29,1,7,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,6,6,13,1,30,1,13,2,6,1,13,2,6,1,13,2,6,1,13,1,6,1,7,1,13,2,30,1,13,1,6,3,13,1,6,2,28,1,6,1,30,1,13,1,6,1,30,1,13,1,28,22,13,1,8,3,24,1,10,1,24,2,12,1,17,2,10,1,17,1,8,1,28,17,30,1,29,1,6,1,13,2,10,1,17,1,10,1,17,8,12,4,17,2,12,1,17,1,12,1,17,7,12,2,17,1,12,2,17,1,12,1,10,8,12,6,10,1,12,2,24,1,9,1,24,2,8,1,13,1,24,2,8,1,10,1,8,3,24,1,13,1,17,1,8,2,24,1,13,1,8,1,24,4,12,5,10,2,12,2,17,1,12,1,17,6,24,2,10,1,17,1,24,1,17,1,12,4,10,1,12,1,17,2,12,1,24,1,12,1,10,1,17,4,12,1,17,1,12,1,17,2,9,1,13,1,28,1,30,2,7,1,6,3,30,1,13,1,6,1,29,1,6,1,30,2,28,1,30,2,29,1,30,3,29,1,6,2,7,1,29,2,6,1,30,2,6,4,7,1,13,1,30,2,6,1,13,2,7,1,13,1,6,2,30,1,6,1,30,2,29,1,30,2,29,2,6,1,28,1,13,1,6,2,30,1,29,1,30,1,7,2,30,1,6,6,30,1,6,1,9,1,17,1,8,1,7,1,24,2,8,1,24,1,7,1,13,1,7,3,8,1,13,1,29,1,8,1,13,1,8,1,28,1,6,1,13,1,6,1,8,1,6,1,30,1,6,1,24,1,29,1,8,1,7,1,6,1,7,3,25,1,7,1,29,1,7,1,29,1,6,1,29,1,7,1,8,1,6,1,30,1,6,3,8,2,6,1,24,1,13,1,8,1,24,1,10,1,12,2,24,1,9,1,24,3,10,2,24,1,10,1,24,1,8,3,9,1,12,1,24,1,13,1,10,2,24,1,12,1,10,2,9,1,17,1,12,1,17,1,12,1,24,1,12,1,17,1,24,1,12,1,10,2,17,1,12,1,10,2,17,1,12,4,17,1,12,1,17,1,9,1,13,1,7,2,28,2,6,1,30,1,6,2,29,1,6,1,30,1,6,1,25,1,6,1,7,1,30,1,6,2,25,2,6,2,29,1,8,1,28,1,25,1,29,1,28,2,6,1,29,1,8,1,30,2,6,2,7,1,25,1,29,3,28,1,7,1,29,1,8,1,30,1,6,1,27,2,26,1,27,1,6,2,25,1,26,1,24,2,8,1,24,1,8,1,25,1,24,1,8,1,24,3,12,1,10,1,9,1,10,1,17,1,10,1,17,1,12,1,17,1,10,2,17,1,28,1,7,2,13,1,6,2,13,1,6,1,13,4,7,1,13,1,6,1,13,3,7,2,13,3,6,1,7,1,13,1,7,1,13,3,6,1,7,1,13,2,7,1,13,2,8,1,13,3,9,1,17,1,11,1,16,1,17,5,11,1,17,1,10,1,17,7,12,1,17,1,12,2,24,1,11,1,9,2,17,2,9,2,10,1,9,1,12,3,11,1,9,1,10,2,9,1,8,1,17,1,12,1,10,1,8,1,12,1,17,1,12,3,8,1,17,1,9,1,12,1,17,1,12,1,17,1,9,1,12,2,17,1,9,1,12,2,8,1,17,1,12,2,9,1,12,3,9,1,17,1,12,1,24,1,17,1,9,1,17,1,12,1,17,1,12,1,10,1,8,1,12,1,10,1,12,1,24,1,12,1,10,1,17,1,24,2,17,1,10,4,24,2,13,1,24,3,8,1,10,1,8,2,9,1,24,1,8,1,12,1,9,1,24,1,9,1,24,1,8,1,11,1,24,1,13,1,12,1,9,1,12,1,9,1,10,1,24,2,8,1,9,1,24,1,8,2,24,1,9,1,24,1,7,1,8,1,24,1,8,1,13,1,24,5,29,1,24,1,8,3,24,1,6,1,24,2,8,1,7,1,8,1,7,1,8,2,24,1,8,1,24,2,7,1,8,1,12,1,24,2,8,1,12,1,8,1,17,1,12,1,10,1,12,1,24,2,8,2,13,2,8,3,10,1,24,1,8,1,24,1,10,1,24,1,9,2,24,1,9,2,10,1,9,1,24,1,9,2,10,2,12,1,24,1,13,1,10,1,24,1,9,1,24,1,8,2,12,1,9,1,17,1,8,1,12,1,10,1,12,1,10,1,9,1,24,1,8,2,13,1,8,2,24,1,8,2,17,1,28,13,8,1,14,1,17,1,10,1,12,2,11,1,13,1,7,1,8,1,6,1,7,2,29,1,6,1,28,1,30,1,13,1,7,1,13,1,8,2,9,1,10,1,16,1,15,1,17,2,13,1,28,4,30,1,28,2,6,1,7,1,16,1,8,1,6,1,30,1,28,34,13,1,24,1,9,1,6,1,13,1,6,1,8,1,24,1,17,1,24,2,13,1,6,1,7,1,30,1,6,1,30,1,8,2,17,1,12,1,9,1,7,1,30,1,28,3,13,1,9,1,24,1,9,1,29,1,28,1,30,1,28,1,13,1,6,1,8,1,12,1,15,1,10,2,12,1,10,1,9,2,7,1,30,2,6,1,9,1,17,1,24,1,28,3,30,1,11,1,8,1,28,49,13,1,10,1,8,1,7,1,28,6,30,1,}, {28,6,30,1,29,1,28,1,30,1,28,8,6,1,30,1,6,1,7,1,13,1,28,18,7,1,30,1,28,2,30,1,28,1,24,1,17,1,9,1,8,1,9,1,13,2,30,1,28,7,30,1,6,1,24,1,12,1,6,1,28,5,6,1,8,1,12,1,8,1,6,1,29,2,30,1,28,8,7,1,24,1,8,1,30,1,28,44,30,1,28,3,29,1,13,1,24,2,28,5,29,1,13,1,30,1,29,2,6,1,30,1,7,1,6,4,30,1,28,6,29,1,8,1,24,1,8,1,6,1,30,1,28,4,9,1,24,1,8,1,6,3,30,1,6,1,8,1,7,1,13,1,24,1,7,1,9,1,10,1,9,1,13,1,6,1,8,1,28,1,13,1,6,1,30,1,28,35,6,1,29,2,30,1,8,1,10,1,8,1,6,1,28,2,30,1,28,1,7,1,14,1,12,2,14,1,24,2,7,1,13,1,28,1,29,1,30,1,29,1,6,1,30,1,7,1,6,1,30,2,6,1,29,1,6,3,24,2,9,1,10,1,12,1,8,1,14,1,15,1,13,1,28,132,30,1,28,2,29,1,6,2,29,1,6,1,30,1,6,1,13,1,6,1,13,1,6,1,30,1,13,2,6,2,13,2,6,2,29,1,6,1,30,1,7,1,13,1,7,1,29,1,7,1,29,1,6,1,29,1,6,1,30,1,6,1,13,1,6,1,30,2,11,4,16,1,17,1,11,1,16,4,11,4,9,1,11,1,16,5,17,2,16,1,11,4,16,1,9,1,10,1,9,2,10,1,9,1,13,1,9,1,8,1,9,2,8,1,9,2,13,1,9,1,11,1,9,2,11,5,9,1,11,1,16,2,11,2,9,4,8,1,13,1,28,1,7,1,28,1,29,1,28,9,29,1,28,2,7,1,13,1,8,1,9,2,8,1,10,1,9,2,8,1,9,1,10,1,24,1,29,2,28,49,13,1,10,1,16,2,11,1,16,1,11,1,16,1,9,1,11,1,9,2,10,1,9,1,13,1,9,1,8,1,13,2,8,1,6,4,30,3,6,1,28,11,30,1,28,2,30,3,28,3,29,1,28,6,9,1,28,17,30,1,9,1,17,2,16,1,11,2,9,1,13,1,28,4,6,1,13,4,6,1,28,1,30,1,28,4,6,1,17,3,16,1,17,2,16,4,17,1,16,4,9,1,16,1,11,1,16,1,28,2,30,1,13,1,9,1,13,3,7,1,13,1,6,1,13,2,9,2,16,3,11,1,16,5,11,1,16,5,17,1,16,5,10,1,16,3,11,1,16,2,9,1,16,1,9,1,11,2,9,1,8,1,9,3,8,1,13,2,8,1,9,1,16,2,10,1,11,1,16,2,9,1,11,1,9,1,16,1,11,1,16,5,11,1,16,5,17,1,16,3,17,1,16,2,11,1,16,4,9,1,11,1,17,1,9,1,11,1,16,3,11,3,16,1,9,2,16,1,11,2,9,1,11,3,16,1,9,1,16,1,9,2,11,2,10,1,16,1,17,1,16,2,9,1,16,1,11,2,9,1,10,1,11,1,9,1,11,1,16,1,9,1,11,1,16,1,17,2,16,3,11,1,9,1,13,1,8,1,13,2,8,1,9,3,10,1,9,3,8,1,13,3,9,1,11,2,17,1,16,1,17,2,9,1,13,2,10,1,8,1,9,1,8,3,13,2,6,1,8,1,30,1,28,1,6,2,13,2,9,3,13,1,9,1,13,3,11,1,9,1,11,1,13,1,9,1,8,1,9,1,13,1,9,1,13,1,9,1,13,4,9,1,8,1,9,1,13,3,8,1,9,3,13,1,9,1,11,2,9,1,11,2,9,1,11,2,17,1,16,1,11,1,9,1,28,4,6,2,13,1,30,2,28,1,13,3,6,5,28,1,6,1,13,4,30,1,6,1,13,3,6,1,13,1,6,1,13,1,6,1,13,3,6,3,7,2,13,2,6,1,13,2,6,1,7,1,13,2,6,1,13,1,8,1,13,1,6,1,13,1,6,2,13,1,6,2,13,2,7,1,6,1,13,1,28,1,13,2,7,1,30,1,29,1,13,1,6,1,13,1,6,1,13,2,6,2,28,1,6,1,7,1,6,1,13,1,29,1,7,1,6,1,13,1,6,1,13,1,8,1,6,1,7,1,6,2,13,1,7,1,30,1,13,1,7,1,13,11,7,1,13,4,6,1,13,2,30,1,13,2,6,1,13,1,7,2,13,5,6,2,13,2,6,1,13,3,16,1,11,1,13,1,6,2,13,2,6,1,13,3,6,1,13,1,6,1,13,2,29,1,6,1,13,1,6,2,7,1,13,3,7,1,6,1,8,1,30,1,13,2,6,1,13,4,29,1,13,2,6,1,8,1,13,1,7,1,13,4,6,1,13,1,7,2,13,4,8,1,13,2,9,1,13,9,6,1,13,1,6,1,13,1,7,1,13,3,9,1,13,1,6,2,13,2,6,2,13,3,6,1,7,1,13,6,7,1,6,1,13,1,6,1,13,7,6,1,13,1,8,1,13,3,6,1,13,1,7,2,13,1,6,1,13,1,6,1,13,2,6,1,30,1,6,1,13,1,6,2,13,1,6,1,13,5,6,2,7,2,13,2,6,1,13,2,6,2,13,2,6,1,13,7,9,1,6,1,13,2,6,1,13,4,6,2,13,1,7,1,13,2,6,1,13,3,6,1,13,2,6,1,7,1,30,2,6,2,13,2,6,1,13,2,6,1,13,2,6,2,13,1,6,1,13,1,7,1,6,1,7,1,6,1,13,1,6,2,13,1,6,3,13,1,6,1,13,2,6,1,7,1,13,2,6,2,13,3,6,1,13,1,6,1,30,1,13,1,6,1,13,3,6,1,13,1,6,2,30,1,13,1,6,2,29,1,13,1,6,1,13,4,7,1,6,1,13,1,7,2,30,1,13,4,6,1,13,1,6,4,7,2,6,1,13,2,6,1,7,1,6,1,13,1,6,11,13,2,7,1,13,3,7,2,13,3,6,1,7,1,13,3,6,1,13,1,6,1,13,2,6,1,13,3,7,1,13,8,6,3,13,1,6,1,13,1,7,1,6,1,13,1,7,1,6,1,7,1,6,1,7,1,13,2,6,2,13,1,7,1,6,2,30,1,6,1,29,1,6,1,13,1,6,1,7,1,6,2,7,1,6,2,13,1,30,1,6,1,13,1,29,1,6,5,13,2,6,2,13,1,6,1,29,1,13,1,6,1,13,2,6,1,13,1,6,1,13,2,29,1,30,1,13,1,6,1,13,1,6,1,13,1,6,2,30,4,28,1,6,1,28,1,8,1,28,22,10,1,8,1,24,1,13,1,10,1,9,1,12,3,17,1,12,1,17,1,12,1,9,1,6,1,28,17,30,3,24,1,8,1,10,1,17,1,12,1,17,1,12,1,17,11,12,1,17,9,12,2,10,1,17,1,8,1,9,1,12,1,17,1,10,2,12,4,10,1,12,1,10,2,12,1,9,1,10,2,24,1,10,2,24,1,8,1,24,1,8,1,9,1,8,1,7,1,24,1,8,1,13,1,24,3,7,2,6,1,24,1,7,1,24,1,8,1,7,1,24,1,10,3,17,1,12,1,10,1,12,1,17,3,12,1,17,3,9,1,17,1,12,2,24,1,10,1,24,2,12,3,24,1,17,1,12,1,10,1,17,2,12,3,17,2,12,2,17,3,9,1,17,1,12,1,17,1,12,1,13,1,28,2,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,6,2,30,2,6,1,30,2,28,1,30,2,6,1,29,1,30,1,6,3,29,1,30,2,29,1,30,1,7,1,30,1,29,1,28,2,30,1,13,1,6,1,29,1,13,1,7,1,6,1,30,1,13,1,6,2,30,1,6,2,30,1,29,2,6,1,30,1,6,1,29,3,6,1,30,1,29,1,30,2,13,2,6,1,13,1,6,5,17,1,11,1,24,1,8,2,13,1,8,2,24,1,6,1,7,2,8,1,7,1,6,1,13,1,7,1,8,1,7,1,6,1,8,1,7,1,13,1,28,1,6,1,7,2,13,1,29,1,24,1,8,1,7,2,25,1,7,1,29,2,25,1,6,1,30,1,29,1,30,1,7,1,13,1,8,1,29,2,8,1,6,1,7,1,24,2,25,1,24,2,8,1,24,1,12,1,9,1,8,1,10,1,13,1,8,1,12,1,17,1,24,1,9,1,24,1,12,1,9,2,8,1,9,1,8,1,10,1,24,2,12,1,10,1,17,4,12,1,17,1,12,1,17,2,12,1,17,2,9,1,12,1,10,1,17,1,24,1,12,1,10,1,17,7,12,1,13,1,28,2,30,2,29,1,6,1,8,1,30,2,25,1,6,1,27,1,29,1,25,2,29,1,28,1,27,1,28,1,29,1,26,2,8,1,28,1,29,1,30,1,6,1,29,1,6,1,7,2,30,1,24,1,7,1,29,1,6,1,28,1,6,1,25,4,8,1,6,1,29,1,30,1,25,3,30,1,25,1,26,1,25,2,26,1,27,1,8,2,24,2,8,1,24,2,8,1,24,1,8,1,10,1,9,1,12,2,17,1,10,1,17,1,9,1,17,2,12,3,30,1,28,1,6,2,7,2,13,2,7,1,6,2,13,1,6,2,13,1,6,1,13,1,6,1,13,3,6,2,13,1,6,1,7,1,13,1,7,1,6,1,7,1,13,10,9,2,16,2,17,8,12,1,17,2,12,1,11,1,17,1,9,1,17,2,9,1,12,2,11,1,12,1,10,1,17,2,8,1,12,1,10,2,17,1,10,1,9,1,10,1,12,1,17,1,11,1,10,1,12,1,9,1,17,1,10,1,24,1,17,1,10,2,9,2,24,1,12,1,24,1,17,1,10,1,24,1,17,1,12,1,24,1,12,1,9,1,17,1,10,1,17,1,24,1,12,2,10,1,17,1,12,1,10,1,17,1,12,1,10,1,12,4,24,1,9,1,12,2,17,1,12,1,17,1,24,1,8,1,10,1,12,2,10,1,24,1,12,1,24,1,8,1,9,1,12,1,8,1,12,1,8,2,24,1,10,1,24,1,8,1,10,1,9,1,24,1,8,1,24,2,10,1,24,1,10,1,9,1,24,1,12,1,13,1,9,1,24,3,8,1,10,1,24,1,8,1,17,2,8,1,12,1,6,1,24,3,13,2,8,2,24,1,8,2,10,1,8,1,24,2,8,1,24,1,8,2,13,1,8,1,13,1,7,1,24,1,6,1,24,3,13,1,6,1,13,1,10,1,24,3,13,1,24,2,10,1,8,1,10,2,24,1,12,2,8,1,24,5,8,6,7,1,24,1,7,1,13,1,24,1,9,1,8,1,17,1,9,1,8,1,10,1,24,4,8,1,24,1,9,1,12,1,9,1,12,1,8,1,12,1,10,1,8,1,17,1,7,1,12,1,10,1,9,1,12,1,9,1,11,1,9,1,12,1,10,1,24,1,13,1,24,1,13,2,8,1,9,2,11,1,28,13,13,1,17,2,16,1,11,1,17,1,9,1,7,1,8,1,29,1,8,1,13,1,29,1,6,1,29,1,30,1,29,1,13,2,8,1,7,1,9,2,17,1,12,1,17,2,16,1,9,1,29,1,28,3,30,2,28,1,6,1,9,2,12,1,13,1,28,27,30,1,28,7,13,1,12,1,13,3,6,1,9,1,24,1,12,1,15,1,9,1,8,1,13,1,28,1,29,1,6,2,8,1,9,1,11,1,10,2,7,1,28,4,6,1,8,1,14,1,8,1,28,2,29,1,6,1,7,1,8,1,13,1,9,1,12,1,15,1,14,1,15,1,24,1,11,1,8,1,13,1,30,1,9,1,13,1,8,1,9,1,8,1,30,1,28,1,29,1,7,1,24,1,10,1,30,1,28,48,7,1,13,1,24,1,30,1,28,7,}, {28,5,29,2,6,3,28,5,30,1,28,1,30,1,28,1,6,1,13,1,29,1,28,18,30,2,28,5,9,1,17,1,9,2,10,1,9,1,13,1,30,1,28,7,29,1,6,1,24,1,9,1,7,1,28,5,6,1,12,1,17,1,8,1,6,1,29,1,6,1,30,1,28,8,29,1,12,2,6,1,28,45,30,1,28,2,6,1,8,1,14,1,8,1,6,1,28,3,8,1,12,1,13,1,30,1,29,3,6,1,29,1,13,1,29,1,6,2,29,1,28,7,6,1,7,1,8,1,6,1,28,5,8,1,9,1,8,1,13,1,7,1,28,1,29,1,6,3,13,2,8,1,24,1,12,1,24,1,13,1,6,2,28,1,29,1,6,1,29,1,28,35,29,2,30,2,13,1,24,1,8,1,7,1,30,1,28,3,13,1,14,1,10,1,24,1,12,1,9,1,24,2,8,2,29,1,7,1,29,1,30,1,13,1,7,1,6,1,13,1,7,4,8,2,6,1,12,1,9,1,10,2,12,1,14,2,13,1,30,1,28,73,30,1,28,60,30,1,28,1,30,1,7,1,30,1,28,1,6,3,30,1,6,1,30,1,28,1,6,1,30,1,29,1,28,1,7,2,6,1,30,2,6,1,29,1,30,1,6,2,28,2,13,1,30,2,6,1,7,1,13,1,30,1,6,1,9,1,11,3,16,1,11,1,16,2,11,1,16,2,11,3,16,2,11,1,17,1,11,1,16,2,11,1,16,3,11,3,9,1,10,1,9,2,10,1,11,1,9,1,13,1,9,1,13,1,8,3,13,2,8,1,9,2,13,1,9,3,11,4,16,1,11,3,9,1,11,1,9,1,8,1,9,1,13,2,8,1,13,1,28,1,30,1,28,13,29,1,7,2,11,1,9,1,10,1,13,1,8,1,24,1,9,1,24,1,30,1,7,1,29,1,30,1,28,1,30,1,28,47,7,1,10,2,11,1,16,1,11,1,10,1,11,2,9,3,8,1,13,1,8,3,9,1,8,1,13,2,6,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,5,30,1,28,3,29,1,28,5,30,2,28,1,30,3,28,5,8,1,28,18,13,1,9,1,17,1,16,1,17,1,11,2,13,2,28,3,13,5,6,1,28,1,30,1,28,4,6,1,9,1,16,3,17,1,16,5,11,1,17,1,16,1,9,1,16,1,9,1,11,2,9,1,6,1,28,2,6,1,13,1,9,1,11,1,9,3,13,2,6,1,9,4,11,1,16,1,11,1,9,1,16,1,11,1,16,6,11,2,16,2,11,1,16,1,11,1,16,1,11,1,16,2,17,1,16,2,11,2,16,3,11,1,16,2,9,2,16,1,11,1,9,2,16,1,11,2,16,1,17,1,16,3,11,1,16,2,11,2,9,1,11,1,16,9,17,1,16,3,11,1,16,5,17,1,16,2,11,2,16,1,9,1,11,2,16,1,11,5,16,3,11,1,16,1,10,1,16,2,10,1,16,4,9,1,16,1,11,3,16,2,11,2,9,1,11,1,9,2,16,1,11,1,16,1,17,2,16,1,17,1,16,2,17,1,9,1,13,3,9,1,13,1,9,3,8,1,9,1,8,1,10,1,8,1,13,2,8,1,6,1,13,2,9,1,16,1,17,1,16,2,17,1,8,1,9,1,13,2,11,1,9,1,16,1,13,4,6,1,13,1,30,1,13,1,30,1,6,2,13,2,30,1,13,1,8,2,13,2,8,1,9,1,16,1,11,1,9,1,13,3,9,1,11,1,6,1,9,1,6,1,13,4,9,1,10,1,9,5,11,1,9,4,11,1,9,2,11,2,16,4,9,1,28,4,30,1,13,3,6,1,29,1,13,2,29,1,30,1,13,1,6,1,13,1,29,1,28,1,30,1,6,1,13,2,30,1,13,1,7,1,13,2,6,1,13,3,6,2,7,1,13,3,6,1,13,2,6,1,13,5,6,2,13,1,6,4,13,2,30,1,13,1,6,2,7,1,13,1,6,3,13,1,6,1,7,1,13,1,6,2,13,2,6,1,13,1,6,1,30,1,13,2,6,3,7,3,13,1,6,1,13,2,6,1,13,1,6,1,13,2,7,1,6,3,13,1,6,1,13,7,7,1,13,2,6,1,13,4,30,1,7,1,13,1,6,1,13,10,30,1,13,1,7,1,6,1,30,1,13,2,6,2,13,2,9,1,17,2,8,1,7,2,13,1,6,3,13,2,6,1,13,2,6,2,13,4,7,1,13,2,7,1,13,2,8,1,6,1,7,1,13,3,7,1,13,1,6,2,13,5,6,1,13,8,6,2,13,1,6,1,13,3,7,1,13,2,8,1,13,4,6,1,13,5,7,1,13,1,6,2,13,1,6,2,13,2,7,1,13,2,6,1,7,1,6,1,13,1,6,1,13,1,29,1,6,2,7,1,13,1,7,1,13,1,6,1,13,3,7,1,13,3,8,1,6,1,30,1,13,2,9,1,13,2,6,1,7,1,13,4,7,1,13,5,6,1,13,3,7,1,13,3,6,2,13,1,7,1,6,1,13,1,7,1,13,2,6,1,13,1,6,1,13,2,8,1,6,1,13,1,29,1,13,1,7,1,6,1,13,2,6,1,13,5,6,1,13,5,6,1,13,5,8,1,13,3,6,1,30,1,13,3,6,1,13,1,7,1,6,2,13,1,6,2,13,1,30,1,6,2,13,3,6,1,13,1,6,1,13,1,6,2,7,3,6,1,13,1,7,1,13,1,6,1,13,4,7,1,29,1,7,1,13,2,29,1,7,2,13,1,6,1,13,1,7,1,13,1,30,1,13,1,7,1,6,5,13,2,6,1,13,1,6,1,7,2,13,1,29,1,6,1,13,1,6,1,13,2,6,1,13,1,8,1,13,2,7,1,6,1,30,1,13,3,6,2,28,1,6,1,13,2,29,1,13,1,6,1,13,1,6,1,13,1,7,1,6,1,7,1,6,1,13,1,7,1,6,1,13,3,6,2,9,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,5,7,1,6,1,13,2,6,2,13,1,6,1,13,5,29,1,13,1,6,2,13,1,6,1,13,2,6,2,13,3,6,1,13,1,6,2,13,2,30,1,13,1,6,2,13,1,6,1,13,2,7,1,6,1,13,1,29,1,6,1,13,1,30,1,6,2,29,1,6,1,30,1,6,4,30,1,7,1,6,1,30,1,6,4,29,1,13,3,6,7,7,1,13,1,6,2,13,2,29,1,13,2,6,1,30,2,29,1,30,1,13,1,28,2,29,1,28,16,30,1,29,1,28,2,24,2,9,1,10,1,12,1,24,1,12,1,24,1,12,2,17,4,12,1,24,1,28,17,29,1,6,1,24,2,8,1,17,1,12,2,17,9,12,1,17,1,12,1,10,1,17,1,10,1,12,1,17,3,12,1,17,2,12,1,17,4,12,1,17,1,9,2,17,1,12,3,17,1,12,1,24,1,9,1,12,2,24,1,10,1,12,2,8,1,9,1,12,1,24,2,10,1,24,3,12,1,8,1,10,1,24,1,13,3,12,1,24,1,13,1,24,1,29,1,24,3,8,3,24,1,8,1,24,1,12,4,9,1,17,1,10,1,17,2,9,1,12,1,17,1,24,1,10,1,12,1,17,1,24,1,10,1,24,1,10,1,17,3,12,1,17,1,12,2,17,1,10,1,17,11,9,1,30,1,28,1,6,2,29,1,6,4,30,4,29,1,30,4,28,1,13,1,30,4,29,2,6,1,30,3,6,1,28,1,30,1,29,1,30,1,6,2,13,1,7,1,30,1,29,1,6,1,29,2,6,1,13,1,30,1,6,1,30,1,29,1,6,1,30,2,6,5,7,1,6,1,30,1,6,1,30,3,6,1,7,1,13,1,6,1,13,1,7,1,6,2,29,1,7,1,17,1,9,1,8,3,13,1,8,2,13,2,8,1,7,1,8,1,7,1,13,1,8,2,13,1,7,1,6,1,30,2,7,1,13,3,6,1,7,1,6,1,24,1,25,1,24,1,25,1,7,1,6,2,25,3,13,1,29,2,7,1,8,1,6,1,7,1,6,1,13,2,8,3,24,1,8,1,24,1,12,1,10,1,24,1,9,1,24,1,8,1,10,1,12,2,8,1,10,1,12,3,8,1,24,1,10,1,24,2,8,1,24,1,17,1,10,1,17,1,9,1,12,3,24,1,9,1,12,1,17,2,12,1,17,1,10,1,24,1,10,1,9,1,12,1,10,1,12,2,17,2,12,3,17,1,8,1,6,1,29,1,28,2,6,1,28,1,29,2,28,1,30,1,29,1,26,1,28,1,27,2,25,1,29,1,27,1,6,1,30,1,29,1,6,1,30,1,26,1,29,2,25,1,27,1,30,1,25,2,7,1,6,2,25,1,7,2,25,1,29,2,30,1,29,2,28,1,26,1,30,1,7,1,8,1,29,1,28,1,26,1,24,1,25,3,28,1,8,1,25,1,6,1,24,1,25,2,8,1,7,1,10,1,24,2,12,3,17,1,12,3,17,1,24,1,17,1,12,1,17,1,10,1,17,1,13,1,28,1,13,1,6,2,13,2,7,1,13,1,6,1,7,1,6,1,7,4,6,1,13,2,6,1,13,2,6,1,7,1,13,1,6,1,13,11,9,1,13,1,9,1,13,1,9,1,17,2,12,1,17,7,12,1,17,2,10,1,17,1,12,1,17,2,12,1,10,1,17,1,12,1,9,1,17,1,9,1,17,5,24,1,17,1,11,1,10,1,17,1,8,1,10,4,24,1,17,1,8,1,12,1,10,2,12,1,24,1,17,1,24,1,9,2,10,1,12,2,17,1,10,1,17,1,9,1,17,1,12,1,9,1,24,1,12,1,11,1,12,2,17,1,12,1,10,1,24,1,17,1,10,2,9,1,12,2,10,1,11,1,12,1,11,1,10,3,9,2,10,1,8,1,10,1,9,1,24,3,8,1,24,3,8,1,24,2,8,2,24,1,13,1,9,1,17,1,13,1,12,1,24,1,10,1,24,4,10,1,12,1,8,1,10,1,24,1,8,1,12,1,24,1,8,1,13,1,12,1,8,1,12,2,9,1,13,1,24,1,8,1,24,1,8,3,24,1,30,1,13,1,24,1,8,1,7,1,8,1,24,3,8,2,24,2,12,1,8,2,6,1,13,1,29,1,7,1,13,2,9,1,8,1,9,1,8,2,24,2,9,1,24,2,8,1,12,1,10,1,7,1,10,1,8,3,13,1,24,1,6,1,8,1,24,1,8,2,6,1,8,1,7,1,9,1,24,1,7,1,8,1,24,1,8,1,24,2,8,1,12,1,24,2,12,1,8,1,9,1,24,1,9,1,12,1,9,1,8,1,9,1,24,1,8,1,10,1,12,2,8,1,24,1,12,2,10,1,24,1,9,1,12,1,24,1,9,1,13,1,24,1,9,2,24,1,9,1,8,1,10,1,28,13,13,1,17,1,12,2,17,1,10,1,24,1,13,2,6,1,13,1,28,1,6,1,30,2,29,2,13,1,7,1,8,1,24,1,11,1,9,1,16,2,17,3,8,1,28,3,30,1,28,3,8,1,9,1,11,1,17,1,6,1,30,1,28,33,30,1,6,1,12,1,8,2,6,2,13,1,12,1,24,1,8,1,24,2,13,2,6,2,13,1,24,1,10,2,12,1,9,1,6,1,28,4,29,1,24,1,10,1,8,1,28,3,7,1,13,1,6,1,8,1,24,1,9,1,15,1,14,1,15,1,10,1,24,1,13,2,30,1,6,1,29,1,16,1,11,1,7,1,28,3,6,1,9,1,24,1,30,1,28,48,24,1,9,1,13,1,28,8,}, {30,1,28,2,30,1,28,2,30,1,28,1,30,1,29,1,28,2,29,1,30,1,28,2,29,1,6,1,7,1,6,1,28,19,29,2,28,5,13,1,8,1,11,2,10,2,11,1,29,1,30,2,28,7,29,1,24,2,29,1,28,5,29,1,12,1,9,1,24,1,13,1,6,1,28,10,6,1,24,2,7,1,28,48,30,1,8,1,24,1,29,1,6,1,28,3,30,1,13,1,24,1,6,1,30,1,6,1,29,1,6,1,30,1,29,2,30,1,6,1,30,1,28,6,30,1,8,2,13,2,30,1,28,4,6,1,24,1,13,1,8,1,6,1,7,1,13,1,7,1,13,1,8,1,7,1,6,1,13,1,7,1,8,2,13,1,8,1,7,1,6,1,29,1,13,1,30,1,28,36,6,1,30,1,6,1,8,1,15,1,6,1,7,1,28,4,30,1,14,1,9,1,8,1,10,1,24,1,8,1,24,1,30,1,29,1,30,1,6,1,29,1,6,2,13,2,6,1,13,2,6,1,8,1,6,1,7,1,24,1,8,1,17,1,9,1,12,1,15,1,14,2,13,1,30,1,28,19,30,1,28,115,29,2,6,4,30,1,13,1,6,2,30,2,6,2,29,1,28,1,30,2,28,1,30,2,6,1,28,1,30,1,28,1,30,3,28,1,30,2,28,3,13,1,11,1,16,4,11,1,10,1,16,1,11,1,16,1,11,2,16,1,11,1,10,1,16,1,11,2,16,1,10,1,9,1,11,3,17,1,10,1,16,1,11,3,9,4,10,1,13,4,8,1,13,1,9,1,8,1,9,1,8,1,9,4,10,1,9,2,11,1,9,1,11,4,16,1,10,2,11,1,8,1,9,2,13,1,7,1,6,1,28,1,30,1,28,13,6,1,13,2,8,1,9,1,24,1,9,1,8,2,13,3,29,1,6,1,29,1,28,49,9,1,17,1,11,1,10,1,11,1,10,1,11,1,9,2,8,1,9,1,8,1,13,1,9,1,7,1,13,1,8,1,6,1,7,1,13,1,6,1,8,1,29,1,6,1,30,1,29,1,30,2,28,4,30,1,28,10,30,2,28,1,30,1,28,1,30,2,28,5,13,1,28,13,30,1,28,6,13,1,11,1,16,3,9,2,6,1,28,4,13,2,6,1,13,1,28,1,30,1,6,1,28,4,30,1,13,2,16,1,17,1,16,1,17,1,16,5,11,1,16,1,11,3,9,1,11,1,16,1,28,3,30,1,9,3,11,1,9,1,13,1,9,2,13,3,16,1,11,1,9,1,11,1,16,2,11,1,16,2,11,1,16,3,11,1,16,3,10,1,11,1,9,1,16,1,9,1,11,1,16,4,11,1,16,8,9,1,11,4,16,4,11,1,17,2,16,8,9,1,16,14,11,1,16,2,17,1,16,2,9,1,17,1,11,2,16,2,11,1,9,1,16,1,11,1,9,2,10,1,16,1,11,1,16,1,9,1,11,1,9,1,16,1,9,1,11,2,16,1,10,1,9,1,11,1,9,2,11,3,16,2,8,1,9,2,11,1,9,1,11,1,9,1,16,1,11,1,17,1,16,3,9,2,13,1,8,2,13,1,8,1,13,2,9,2,13,4,9,1,16,1,8,1,9,1,6,1,9,1,13,1,9,1,8,1,11,1,9,1,11,1,9,1,17,1,13,1,9,1,8,1,10,1,9,2,11,1,9,1,13,2,6,1,7,1,30,1,13,1,7,1,13,1,7,1,13,4,8,1,9,4,13,2,9,2,13,3,9,1,13,2,9,1,13,3,9,2,8,2,13,1,9,2,13,1,9,2,11,2,9,1,16,1,9,1,16,1,9,1,11,2,16,1,11,1,16,1,13,2,28,3,30,1,28,1,30,1,13,1,7,1,6,2,13,2,29,1,13,2,7,1,30,1,29,1,28,2,13,3,7,1,6,1,13,3,6,1,13,2,7,1,13,2,6,1,13,8,7,1,6,2,7,1,29,1,13,1,6,2,13,6,29,1,30,1,6,1,13,3,6,1,7,1,13,1,6,1,13,3,6,1,13,1,6,1,7,1,6,1,7,2,6,1,13,1,6,2,13,2,6,2,7,1,13,1,7,1,13,1,6,1,7,1,13,1,7,1,6,1,7,1,6,2,13,1,6,1,13,2,6,2,13,1,6,1,13,2,6,2,13,6,6,1,13,1,6,1,13,1,6,1,13,1,7,1,6,2,13,1,30,1,13,3,6,1,7,1,13,5,6,1,13,1,6,1,13,2,16,1,17,1,30,1,13,1,6,1,7,1,6,3,7,1,6,1,13,2,6,2,13,6,7,1,13,1,6,1,13,2,7,1,13,3,7,1,13,2,7,1,13,2,6,1,13,1,6,1,13,2,7,1,13,3,6,1,13,5,6,2,13,1,6,1,13,1,6,1,13,4,9,1,13,4,9,1,13,3,6,1,9,1,13,1,6,1,13,2,7,1,13,1,7,1,6,1,13,4,6,2,13,1,6,2,13,2,6,4,13,2,7,1,13,1,6,1,13,9,6,1,8,1,13,3,6,1,13,1,6,1,13,5,6,1,13,6,6,1,13,1,7,1,6,1,13,1,7,1,13,2,6,1,13,2,6,1,13,5,6,3,13,3,6,1,13,2,8,1,7,1,13,11,7,1,13,5,6,1,8,1,6,1,13,2,7,1,13,1,7,1,6,2,13,1,6,1,13,2,6,1,13,1,6,3,13,4,7,1,6,1,13,2,30,1,6,1,13,4,6,1,7,1,6,3,13,1,6,3,13,1,6,1,30,1,13,1,7,2,13,1,6,1,13,2,6,2,13,1,6,2,7,1,13,2,30,1,6,2,7,1,6,4,7,1,13,1,30,1,7,1,6,1,13,3,6,1,7,1,6,1,9,1,13,2,6,5,30,2,6,1,13,1,6,1,13,1,6,4,29,1,13,1,6,1,13,1,6,3,7,1,13,2,6,1,13,4,7,2,13,2,7,1,13,1,6,1,7,1,6,1,13,1,6,2,13,3,7,2,6,2,13,1,6,3,13,2,6,2,13,2,6,2,13,1,6,1,13,1,7,1,6,1,7,1,13,2,6,1,13,1,30,1,13,2,6,2,13,2,30,1,13,1,6,4,7,1,6,3,13,1,6,1,13,1,30,1,6,1,13,1,30,1,6,1,13,1,30,1,6,1,13,1,6,3,13,1,6,1,13,1,6,3,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,7,2,6,1,13,1,7,1,13,1,6,1,13,1,6,2,13,2,29,1,30,1,28,1,6,1,30,1,6,3,28,3,13,1,8,1,13,1,7,1,6,1,13,1,6,1,28,3,30,1,7,1,13,1,24,1,10,1,12,1,10,1,9,1,12,1,10,1,11,1,12,2,17,1,12,1,17,1,9,1,17,1,12,1,9,2,12,3,9,1,6,1,28,16,29,1,6,1,13,1,8,1,24,1,9,1,10,1,12,1,17,1,12,1,17,3,12,1,17,5,12,2,17,2,10,1,17,2,12,1,17,4,12,1,17,3,24,1,12,2,17,2,9,1,12,2,11,1,10,1,12,1,10,1,12,1,10,1,24,1,8,1,17,1,10,1,17,1,24,1,10,1,24,1,12,1,10,1,24,1,9,1,24,2,10,1,8,2,12,1,24,1,8,1,24,2,8,1,24,2,10,1,8,1,10,1,8,1,24,1,12,1,24,1,9,1,10,1,12,3,24,1,12,1,24,1,10,1,17,1,12,2,24,1,12,2,17,1,9,1,12,1,24,1,12,1,17,1,10,1,12,3,17,1,12,4,24,1,17,6,12,1,17,1,12,2,17,1,9,1,28,2,30,1,6,2,30,1,6,4,30,2,6,1,30,5,28,1,7,1,28,2,6,3,30,1,6,2,30,2,28,1,30,1,13,1,30,4,28,1,29,1,28,1,6,5,30,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,3,13,1,29,1,13,1,30,1,29,1,30,2,6,2,7,1,30,1,6,4,29,1,13,1,10,1,13,2,7,2,13,2,8,1,13,1,6,2,29,1,8,1,13,1,8,1,6,1,8,1,13,2,9,2,8,1,6,1,8,1,7,1,13,2,7,1,13,1,24,1,7,1,25,1,29,1,8,1,6,1,25,1,30,1,25,1,7,1,13,1,7,1,13,2,8,1,13,2,29,1,24,1,6,1,8,1,24,1,7,1,24,2,12,1,9,1,24,1,10,1,24,1,17,1,10,1,9,1,24,1,17,1,9,1,10,1,12,1,8,2,24,1,12,1,7,1,24,2,8,1,24,1,7,1,10,2,12,2,24,1,17,1,10,1,9,1,12,1,11,1,17,2,24,1,10,1,9,2,12,1,10,2,17,1,12,1,17,3,9,1,10,1,8,1,6,1,29,1,30,3,28,2,29,3,6,1,28,1,29,2,27,1,28,1,8,1,27,1,25,1,27,1,26,1,25,2,27,1,8,1,29,1,8,1,6,1,29,1,26,1,25,1,6,1,29,1,25,2,29,1,8,1,30,1,8,1,27,1,8,1,25,1,27,2,25,3,6,1,25,1,8,1,7,1,25,2,6,1,7,1,8,1,29,1,8,1,25,1,24,1,8,1,24,2,8,1,24,1,12,1,24,1,12,1,24,1,17,2,24,1,8,1,17,4,12,4,9,1,13,1,30,1,13,1,6,2,13,1,6,6,13,2,6,3,13,3,6,1,13,7,6,1,13,3,7,1,13,4,8,1,9,2,13,1,9,1,17,13,12,2,9,1,17,2,10,1,17,1,10,3,17,1,9,1,17,3,10,1,17,1,12,1,17,1,9,1,11,1,9,1,8,1,9,1,24,2,12,2,17,1,12,2,10,1,12,1,10,1,12,1,17,1,11,1,12,1,17,1,10,1,17,1,12,1,10,1,17,1,10,2,11,1,9,1,12,1,11,1,10,1,24,1,12,1,8,1,17,1,24,1,12,1,10,3,12,3,17,1,12,1,9,1,10,1,9,1,11,1,24,2,12,1,9,1,17,1,13,1,10,1,12,1,10,1,13,1,10,1,12,1,13,1,7,1,10,1,13,1,8,1,24,1,10,1,8,1,24,2,8,1,10,1,9,1,8,1,12,1,24,1,9,1,12,1,9,1,17,1,10,2,24,1,9,1,17,1,6,1,8,1,24,1,8,1,24,1,9,1,24,1,12,1,8,1,9,1,10,2,13,1,8,3,24,2,13,1,17,1,9,1,7,1,24,1,9,1,13,2,24,2,12,1,8,3,7,1,24,2,13,1,12,1,24,2,7,1,13,2,24,1,8,1,12,1,24,1,8,1,12,1,24,2,17,1,8,1,13,1,24,2,12,1,6,1,24,1,13,1,8,1,13,2,6,1,13,1,24,2,8,1,7,1,8,1,7,1,8,1,24,2,13,1,24,1,13,1,10,1,8,2,12,1,8,2,12,1,10,1,12,1,24,2,12,1,24,1,10,2,13,1,12,1,10,1,9,1,12,2,9,3,12,1,10,2,24,2,9,3,24,2,8,1,9,1,28,4,30,1,28,8,8,1,16,1,17,3,11,1,24,2,7,1,13,1,6,2,28,1,30,2,28,1,30,1,29,1,13,1,8,1,9,1,8,1,9,1,17,4,11,2,28,4,30,1,28,2,8,1,9,1,12,1,24,1,13,1,6,1,28,34,8,1,16,1,13,1,6,1,29,1,6,1,24,1,8,1,10,1,24,1,13,4,8,1,6,1,24,1,10,2,17,2,9,1,6,1,28,4,29,1,24,1,14,1,6,1,28,1,30,1,28,1,30,1,7,1,6,1,13,1,24,1,15,1,12,1,14,1,17,2,10,1,9,1,8,1,30,1,7,1,6,1,16,1,17,1,13,1,28,3,7,1,10,1,24,1,29,1,28,47,29,1,7,1,8,2,30,1,28,7,}, {28,2,30,1,28,4,7,1,30,1,6,1,13,2,6,1,30,2,7,2,13,1,30,1,28,19,6,1,28,6,30,1,8,1,9,1,17,1,10,1,9,3,7,1,28,9,6,1,24,2,7,1,28,5,29,1,17,1,9,1,8,1,6,2,30,1,6,1,29,1,28,7,7,1,8,1,12,1,8,1,28,49,13,1,14,1,13,1,29,1,28,4,13,1,8,1,6,1,28,1,6,1,30,1,29,1,30,3,6,2,30,1,28,7,6,1,13,1,8,1,13,1,28,5,7,1,8,4,24,1,13,1,8,1,24,1,8,4,24,1,15,1,9,1,7,1,6,1,29,1,6,3,13,1,28,34,30,2,29,3,7,1,24,2,29,1,30,1,28,3,29,1,24,2,10,1,9,1,8,1,6,1,13,1,8,1,13,1,29,1,7,1,29,1,6,1,29,1,13,1,6,1,7,1,6,1,13,3,7,1,13,1,6,2,17,1,10,2,12,2,14,1,8,1,28,134,30,1,28,1,6,2,29,1,6,1,29,1,30,1,29,1,13,1,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,1,28,1,30,2,28,5,30,4,28,3,13,1,16,1,17,1,11,2,16,2,11,3,16,1,11,3,16,1,11,1,16,1,11,1,16,2,9,1,10,1,11,2,16,1,10,1,17,2,16,1,9,1,11,1,10,2,9,5,8,1,9,1,13,1,7,1,9,1,8,2,13,1,8,2,9,5,10,1,9,1,11,1,10,1,11,2,16,1,11,2,9,2,8,2,9,1,8,1,13,1,6,1,28,2,30,1,28,12,30,1,7,1,8,4,9,1,8,1,9,1,13,2,7,1,6,2,30,1,28,49,9,2,11,3,16,1,11,1,9,4,8,1,13,2,8,2,7,1,13,3,7,1,6,1,28,1,6,2,28,1,30,1,28,1,29,1,28,1,30,1,28,15,30,1,28,2,30,1,6,2,28,3,30,1,28,14,13,1,28,7,9,1,11,1,16,1,11,2,9,1,6,1,28,4,30,1,13,3,30,2,6,1,28,5,30,1,8,1,16,8,11,3,16,1,11,1,9,1,11,1,16,1,11,1,6,1,28,3,9,1,11,1,9,1,11,2,9,1,11,1,9,1,13,2,8,1,9,5,10,1,11,2,9,1,16,2,9,2,17,1,9,1,16,3,17,1,16,2,9,1,11,1,16,4,11,1,16,4,11,1,16,10,17,1,16,5,17,1,11,1,16,5,11,1,17,1,16,10,17,1,9,1,16,1,11,1,16,3,17,1,16,1,17,1,11,2,9,1,11,2,16,1,10,1,11,1,9,1,11,1,16,1,11,2,9,3,11,1,16,1,9,1,17,1,16,2,11,1,9,4,11,3,16,2,9,1,11,1,16,1,11,1,9,2,16,4,17,1,16,1,9,2,11,1,6,1,13,2,8,1,13,2,9,1,11,2,13,4,9,1,13,1,8,1,9,1,13,1,9,1,13,2,11,1,9,1,8,1,16,1,13,1,11,1,17,1,13,1,9,1,13,1,9,1,8,1,9,1,11,1,13,1,6,1,13,1,6,1,13,1,30,1,13,1,28,1,30,1,7,1,13,3,6,1,13,1,8,1,7,1,13,2,9,1,8,2,9,2,13,1,8,1,9,1,8,1,13,2,6,1,9,1,13,1,9,2,13,1,9,3,13,1,9,3,11,1,9,2,16,1,9,1,11,1,9,1,16,2,11,1,17,1,16,1,6,1,28,4,30,2,13,2,6,1,13,3,30,1,6,1,30,1,13,1,6,1,30,1,28,3,13,1,6,1,13,1,6,2,13,8,6,2,13,3,7,1,6,1,7,1,30,1,13,3,6,1,13,1,7,1,6,1,13,2,30,1,13,1,6,1,7,1,6,1,13,5,6,1,13,1,6,2,13,3,6,1,13,1,7,1,13,2,6,2,13,1,6,1,13,1,6,2,13,1,7,1,6,1,7,2,6,2,13,1,7,1,6,1,13,1,6,1,13,3,7,1,13,1,6,1,13,2,7,2,13,1,6,2,13,1,7,1,13,1,6,1,13,3,8,1,6,1,13,5,6,1,13,3,6,1,13,4,6,1,13,1,6,1,13,1,6,2,13,1,30,1,6,2,13,2,9,1,17,2,6,2,7,1,6,3,13,1,6,4,7,1,6,1,13,3,6,1,7,1,6,1,13,1,29,1,7,1,13,1,6,1,13,1,6,2,7,1,13,3,30,1,6,1,7,1,13,1,6,1,13,2,6,1,13,3,8,1,7,1,6,2,13,3,7,3,13,2,6,1,13,1,6,1,13,5,7,2,6,1,13,4,29,1,6,1,13,2,6,1,7,1,13,2,6,1,13,1,6,2,13,2,6,1,13,1,6,1,13,3,6,1,13,1,6,1,13,1,7,2,6,1,13,2,6,1,13,2,6,1,13,1,8,1,13,1,10,1,13,5,6,2,13,4,6,2,13,1,6,1,13,1,7,1,6,1,13,5,6,1,13,1,6,2,13,1,7,2,13,3,6,1,13,6,6,1,13,2,6,1,13,2,6,1,9,1,13,2,7,1,13,2,7,1,13,8,6,1,13,2,7,1,13,1,6,2,13,3,7,1,6,1,13,2,6,2,7,1,13,2,6,1,13,1,6,3,13,2,6,1,13,2,7,1,13,2,6,1,30,1,7,1,6,1,7,1,13,1,6,4,13,1,6,1,13,3,6,1,13,1,6,2,13,3,6,1,7,1,13,2,6,4,13,1,6,1,13,1,6,1,13,1,29,1,13,1,6,1,28,1,6,1,13,1,6,1,13,2,6,2,13,3,7,1,13,1,8,1,13,1,6,2,29,1,6,1,30,1,13,1,6,5,13,1,6,2,7,1,13,1,6,2,30,1,6,1,29,1,13,1,6,1,30,2,13,2,6,3,13,2,6,3,7,2,13,1,6,1,7,2,13,2,7,1,13,1,6,1,13,2,6,1,13,1,6,1,13,4,7,2,6,3,13,1,6,2,13,1,6,1,13,2,6,1,30,1,13,1,7,1,13,1,6,2,13,1,7,1,13,2,6,1,29,1,7,1,6,2,7,1,13,1,6,1,7,1,13,1,6,2,7,1,6,4,13,1,6,1,30,1,13,1,30,1,13,1,30,1,13,1,7,1,6,1,13,1,6,1,29,1,13,1,6,1,7,2,6,1,13,2,7,1,29,1,6,2,13,1,6,3,8,1,6,2,13,1,6,1,13,1,6,2,28,2,6,4,13,1,28,3,13,1,17,5,9,1,10,1,12,1,17,2,10,1,12,1,10,1,24,1,8,1,24,1,8,3,24,1,12,1,24,1,10,1,12,1,24,1,10,1,9,1,10,3,12,3,9,1,13,1,28,16,30,1,6,1,7,1,8,2,10,1,17,1,12,2,17,2,12,1,17,3,12,1,17,5,24,1,17,2,12,1,17,1,12,6,17,1,24,1,17,2,9,1,17,1,9,1,12,4,17,1,12,2,9,1,24,1,12,1,24,2,12,1,9,1,24,1,10,1,9,1,24,1,10,2,24,4,10,1,8,1,24,2,10,1,8,1,24,3,13,1,7,1,10,1,24,3,13,3,24,2,10,1,9,1,12,1,8,1,12,2,17,5,24,1,10,2,17,1,24,1,10,1,12,3,17,3,12,2,17,1,12,1,10,1,17,1,11,1,17,2,12,1,17,1,12,1,17,3,12,1,17,1,6,2,30,2,6,1,30,1,29,1,6,1,30,2,29,1,6,2,30,3,6,1,30,1,29,1,30,5,13,1,6,1,30,1,6,1,30,3,6,2,28,2,29,1,30,2,29,1,30,1,29,1,6,1,13,1,6,3,30,1,6,2,30,1,7,1,30,3,6,1,30,2,6,1,28,1,6,1,7,1,30,1,29,1,6,2,29,1,6,7,29,1,6,1,17,1,13,4,6,1,13,3,6,1,7,1,6,2,13,1,6,1,13,1,8,1,7,1,13,1,30,1,29,1,8,1,7,1,6,3,30,1,8,1,13,1,6,1,13,1,6,1,29,1,25,1,6,1,7,2,30,1,25,2,6,1,13,1,24,1,13,1,6,1,24,1,7,1,6,1,24,6,12,1,8,1,24,1,8,1,12,1,24,1,9,2,17,1,12,1,10,1,9,3,24,1,13,2,24,1,8,1,12,1,17,1,10,2,8,1,12,3,17,1,24,1,9,1,12,1,17,2,12,2,17,1,10,1,17,1,10,3,17,1,10,1,17,1,10,1,12,1,17,2,24,1,7,1,29,1,30,1,29,1,7,1,29,1,6,1,30,3,28,3,30,1,28,1,6,1,30,1,28,1,25,1,26,1,28,1,8,1,27,1,6,1,25,1,29,1,25,1,27,1,26,1,24,1,29,2,24,1,28,1,26,1,6,2,7,1,29,1,30,1,24,1,29,1,24,1,25,1,6,1,25,1,30,1,6,1,25,2,6,1,25,1,8,1,29,1,8,2,6,1,25,1,6,1,7,1,24,1,8,1,25,1,8,1,7,1,10,1,8,1,24,1,8,1,12,1,10,2,12,1,10,1,9,1,17,1,12,1,11,1,12,4,11,1,12,1,13,1,28,1,30,1,7,1,6,1,30,1,7,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,3,13,5,6,1,7,1,13,2,7,1,13,7,9,5,17,8,12,1,17,6,12,4,17,1,12,1,17,1,9,1,11,1,17,2,11,1,12,1,17,1,12,1,17,1,9,1,12,2,9,1,24,1,10,2,17,3,9,1,24,1,10,1,9,1,10,1,8,1,12,1,10,1,17,2,24,1,12,2,9,1,12,2,17,1,9,1,12,1,11,1,17,1,12,2,17,2,12,2,17,1,12,3,10,1,12,1,17,1,24,1,10,2,12,1,9,1,12,1,8,1,12,1,10,1,7,1,17,1,9,1,13,1,10,1,13,1,17,1,8,3,9,1,17,1,24,1,13,1,10,1,7,1,8,1,12,1,24,1,13,1,8,1,12,1,13,1,12,1,8,1,12,2,10,2,8,1,24,1,8,1,9,1,8,1,10,1,9,1,8,1,24,1,13,1,10,1,24,2,17,1,24,2,8,1,24,1,10,1,12,1,10,1,24,1,7,1,8,1,24,1,13,1,24,1,8,1,9,1,24,1,8,1,24,1,7,1,13,2,8,2,10,1,24,1,7,1,24,2,30,1,12,1,10,1,13,1,8,1,13,1,8,1,10,1,8,2,13,1,8,1,10,1,13,2,9,1,13,2,7,1,8,1,13,1,24,1,13,2,8,2,24,2,8,1,24,1,8,1,24,2,13,1,8,1,7,1,13,2,7,1,24,1,9,1,12,1,10,1,13,1,24,1,9,1,12,1,10,1,9,1,24,1,9,1,10,1,8,1,12,1,9,1,8,1,10,1,24,1,10,2,8,1,17,1,9,1,10,1,12,1,9,1,12,1,8,1,10,1,24,1,9,1,8,3,9,1,6,1,28,13,13,1,17,4,12,1,10,1,8,1,13,1,6,3,28,2,30,1,28,1,30,1,28,1,13,2,7,1,9,1,11,1,17,1,12,2,17,1,9,2,28,7,6,1,12,2,24,1,13,1,29,1,28,1,30,1,28,32,13,1,12,1,24,1,6,1,7,1,6,1,24,1,8,1,12,1,13,1,7,1,6,3,8,1,30,1,8,1,12,2,11,1,12,1,9,1,30,1,28,1,30,3,7,1,13,1,24,1,13,1,28,3,30,1,13,1,7,1,24,1,8,1,15,1,10,1,17,1,12,1,9,1,16,1,8,1,7,1,13,1,6,1,8,1,9,1,17,1,13,1,28,2,30,1,13,1,17,1,8,1,6,1,28,47,30,1,7,1,24,1,9,1,28,8,}, {28,7,7,2,6,1,13,1,6,1,7,1,30,1,7,1,13,1,6,1,28,19,30,1,13,1,30,1,28,6,29,1,9,1,12,1,17,2,9,1,12,1,8,1,13,1,29,1,28,8,6,1,24,1,8,2,28,6,24,2,9,1,8,1,6,2,28,9,7,1,24,1,15,1,29,1,28,42,30,1,28,2,29,1,28,2,30,1,24,1,14,1,8,1,6,1,28,3,29,1,8,2,6,1,28,1,29,1,7,1,29,1,6,2,30,1,29,1,28,2,30,1,28,6,29,1,24,1,6,2,30,1,28,4,30,1,12,1,8,1,24,1,13,1,29,1,30,1,13,1,6,1,13,2,8,3,24,3,13,1,29,1,13,1,7,1,9,1,29,1,28,36,30,1,28,1,30,1,24,3,13,1,29,1,28,3,6,1,24,1,15,1,24,1,8,2,29,2,7,1,6,3,29,1,13,2,6,1,7,2,30,1,8,1,7,1,30,1,13,1,7,1,6,1,8,1,17,1,24,1,10,1,12,1,14,2,24,1,28,135,30,1,6,1,28,1,30,1,28,3,30,1,28,6,30,1,28,2,30,2,29,3,28,1,30,2,28,2,30,3,13,1,28,1,13,1,9,1,16,2,11,3,16,3,11,1,9,1,11,1,16,1,11,1,16,2,11,2,16,1,11,2,16,1,9,1,11,1,16,3,11,2,16,1,10,1,9,1,11,1,9,1,13,1,9,2,8,1,13,2,8,1,9,1,13,2,8,1,9,3,13,1,11,1,13,1,11,1,9,2,11,1,10,1,11,6,10,1,11,1,9,1,13,2,6,2,29,1,28,14,30,1,28,1,13,1,9,1,13,1,9,1,8,1,24,1,13,1,24,1,13,1,6,1,8,1,6,1,13,1,30,1,28,48,6,1,9,1,11,2,10,1,9,5,13,1,9,1,8,1,13,3,7,1,13,3,30,1,29,1,6,1,30,2,6,1,28,3,30,2,28,15,30,2,28,1,6,1,28,1,6,2,28,1,30,1,28,1,6,1,28,16,30,2,28,5,9,4,16,1,13,1,28,5,13,4,6,1,30,2,28,5,13,1,9,2,16,3,11,5,16,1,11,1,9,1,11,1,9,3,28,4,9,1,11,3,16,1,11,2,13,1,9,1,13,1,6,1,9,2,11,1,9,1,11,2,16,1,9,1,11,1,9,1,11,1,16,1,11,1,16,2,17,1,16,2,11,1,16,4,11,1,9,1,16,10,17,1,16,1,11,1,17,1,16,4,17,1,16,1,17,2,16,1,17,3,16,5,17,1,16,1,17,1,11,1,16,3,17,1,16,3,11,1,16,1,17,1,16,2,11,1,16,1,17,1,11,1,16,3,9,1,17,1,11,1,9,1,11,3,9,1,11,1,17,1,9,1,11,1,9,1,11,1,16,1,9,4,17,1,16,1,11,1,10,1,9,1,11,1,10,1,9,1,11,2,17,2,11,1,9,3,11,3,16,3,11,1,9,3,8,1,13,3,8,1,9,1,11,3,9,2,13,5,8,1,9,4,8,1,10,1,13,1,11,1,17,1,13,1,11,1,9,1,7,1,13,1,8,1,9,4,6,1,13,1,7,1,30,1,13,2,6,1,7,1,13,2,6,1,13,1,6,1,8,2,13,4,9,1,13,1,9,1,13,1,9,1,13,1,6,1,8,1,13,2,9,2,13,1,8,1,9,1,13,1,9,1,13,3,9,1,11,1,13,1,16,1,11,2,13,1,11,2,9,1,16,1,11,1,9,1,16,1,11,1,28,5,30,1,6,2,28,1,13,1,7,1,13,1,6,3,29,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,13,2,6,1,13,4,6,1,13,1,8,1,6,1,13,4,6,2,13,2,7,1,13,3,6,1,13,1,6,2,13,6,6,1,13,2,6,1,13,6,6,2,13,1,6,1,13,1,6,2,13,5,7,2,13,3,6,1,13,3,29,1,6,1,13,2,6,1,13,4,7,1,13,1,6,1,7,1,13,1,7,1,6,1,13,3,6,2,13,1,28,1,6,1,13,5,9,1,7,1,13,7,7,1,6,1,13,1,7,1,6,1,7,1,13,1,6,2,13,1,6,6,13,2,16,2,13,2,7,1,13,1,6,3,13,1,6,1,13,1,28,1,6,1,7,1,6,3,30,1,13,2,7,1,13,1,7,2,6,1,29,1,13,1,6,1,13,2,6,1,29,1,13,1,6,1,7,1,30,1,6,2,13,1,6,1,13,1,7,3,13,2,6,1,13,1,6,1,7,1,13,5,6,1,13,12,6,1,13,5,6,1,13,2,6,1,13,2,6,1,13,1,6,1,13,3,6,1,13,1,6,2,13,1,6,3,30,1,13,1,29,1,13,1,7,1,13,1,6,1,13,1,6,1,13,3,6,1,30,1,6,1,13,1,6,1,13,2,6,1,13,1,7,1,6,3,13,1,30,1,13,1,28,1,13,1,6,2,13,4,7,1,13,1,6,1,7,2,13,1,6,1,13,1,6,1,29,1,6,1,13,1,6,1,13,5,7,1,6,2,13,3,6,1,11,1,7,1,13,3,7,1,13,2,6,2,13,1,6,1,7,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,1,7,2,13,2,7,1,6,1,13,3,6,1,13,1,6,1,13,1,7,1,13,3,6,2,13,2,7,1,13,3,7,1,6,2,13,1,6,2,13,2,7,1,6,2,9,1,6,2,13,1,6,1,7,1,13,1,7,1,13,1,30,1,6,1,13,2,30,1,13,1,7,1,13,2,6,1,13,2,30,1,6,1,7,1,6,2,13,1,6,1,7,1,6,1,30,1,7,1,13,2,30,1,13,3,6,1,13,1,9,1,13,1,6,1,7,1,6,3,28,1,7,1,6,3,13,1,30,1,13,2,6,1,13,1,6,1,30,1,13,1,6,1,13,1,28,1,13,1,6,4,7,1,30,1,6,3,13,2,6,1,13,1,6,1,13,1,30,1,6,1,13,1,6,2,13,1,6,2,13,3,6,1,13,1,6,1,13,2,6,3,13,1,6,1,13,1,29,1,13,2,7,2,30,1,13,1,6,2,30,1,6,2,13,2,6,2,30,1,6,2,13,1,29,1,7,1,6,1,7,1,13,1,30,1,6,4,13,1,6,2,13,1,6,2,13,1,29,1,6,3,7,1,13,1,29,1,7,1,6,1,13,1,6,1,13,1,6,3,7,1,13,1,30,1,13,1,6,6,30,1,6,3,13,1,6,1,7,1,6,2,29,1,28,1,7,1,6,1,30,1,7,1,30,1,28,2,13,1,8,1,11,1,12,1,24,2,8,3,13,4,7,1,13,1,24,1,13,1,8,1,28,2,30,1,8,1,10,1,24,1,8,1,24,1,8,1,24,2,10,1,12,2,11,1,10,1,12,2,24,1,13,1,28,15,30,1,7,1,13,2,24,1,9,1,10,1,9,1,12,2,17,4,12,1,17,1,12,1,17,1,12,4,17,2,12,3,17,3,12,1,17,1,12,1,17,2,10,2,17,1,10,1,17,2,10,1,17,1,12,1,9,2,10,2,17,1,10,1,12,2,17,1,9,1,12,1,24,1,12,1,10,1,24,2,8,1,10,1,24,3,8,1,24,1,13,1,10,2,24,2,7,1,8,1,24,1,9,1,24,2,9,1,13,1,24,1,13,1,8,1,12,1,24,1,12,1,24,1,12,3,17,2,12,1,10,1,17,1,9,1,10,1,12,1,10,1,12,1,17,3,12,1,17,3,10,1,17,2,12,1,17,11,9,1,7,1,29,1,6,1,30,2,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,1,6,1,30,3,6,2,30,3,6,1,13,1,30,1,7,1,28,1,30,1,6,2,28,1,30,1,29,1,6,1,30,1,6,1,30,4,6,3,30,1,6,3,30,1,29,1,30,1,6,1,29,1,30,1,29,1,6,1,30,1,13,1,30,1,13,1,29,1,30,1,29,1,6,1,30,2,6,3,13,1,30,1,6,2,13,1,11,1,29,1,7,1,13,2,30,1,13,2,6,1,7,1,13,1,8,1,7,1,8,1,24,1,8,1,13,1,7,1,6,1,8,3,7,1,8,1,7,2,6,5,30,1,8,1,6,1,27,1,8,1,27,1,8,1,6,1,8,2,28,3,7,1,8,2,24,1,13,1,24,1,8,1,24,1,10,1,24,1,10,1,24,2,8,1,10,1,12,2,9,1,12,1,8,1,12,2,24,1,10,1,13,1,24,2,9,1,12,1,8,1,10,1,12,2,10,1,12,1,17,1,12,2,17,1,9,1,12,2,17,1,12,1,17,1,10,1,8,1,12,1,17,2,12,1,17,1,9,1,12,1,17,1,10,1,24,2,6,1,30,5,28,1,29,1,28,2,29,1,28,1,29,3,6,1,28,1,27,1,26,2,28,1,29,1,28,1,25,2,27,1,25,1,26,1,25,2,30,1,8,2,26,1,29,1,30,1,28,1,25,1,6,1,30,1,25,2,26,1,25,1,29,1,8,1,27,1,6,1,25,2,7,1,6,1,8,1,25,1,6,1,24,1,25,3,6,1,7,1,24,1,6,1,7,2,24,1,8,1,13,1,17,1,10,1,24,1,10,1,17,3,12,1,17,1,12,1,17,2,10,1,11,1,17,1,12,1,9,2,30,1,28,1,6,4,7,1,6,7,13,1,30,1,7,1,6,1,13,1,6,5,13,12,9,1,11,1,9,1,11,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,3,10,1,12,1,17,1,11,1,10,1,17,1,12,1,17,1,11,1,9,1,11,1,9,1,11,1,12,1,10,1,12,1,11,1,17,2,11,1,10,1,11,1,10,1,12,1,24,2,9,1,12,1,8,1,9,1,10,1,12,1,10,1,17,1,9,1,8,1,17,1,12,1,9,1,24,2,9,1,17,1,8,1,17,1,8,1,10,1,12,2,17,1,9,2,17,3,12,2,17,1,12,1,8,1,9,1,17,1,12,2,17,1,8,1,12,1,9,2,12,1,24,1,13,1,10,1,8,3,13,1,10,1,24,1,8,1,9,1,24,1,9,1,24,2,13,1,10,1,8,1,12,1,24,1,10,1,24,1,10,1,24,3,13,1,10,1,9,1,12,2,10,1,9,1,10,1,24,2,10,1,24,1,17,1,8,1,9,1,13,1,8,1,10,1,8,1,12,1,24,1,12,1,9,1,24,2,10,1,7,1,24,1,8,2,24,1,13,1,24,1,8,1,7,1,24,2,8,1,13,1,24,1,8,2,13,1,24,2,13,3,8,2,13,1,7,1,9,2,13,1,9,1,13,2,24,2,13,1,8,1,13,2,9,1,7,1,10,1,8,2,9,1,8,1,24,1,7,1,9,1,8,1,24,1,8,2,7,1,10,1,7,1,24,1,13,2,24,1,8,1,24,3,10,1,24,2,9,1,17,1,10,1,9,1,24,1,8,1,10,1,9,3,8,3,9,1,24,1,10,4,24,1,17,1,24,1,10,3,9,1,13,1,24,1,9,1,11,1,8,2,13,1,28,13,8,1,16,1,17,1,12,1,9,1,17,1,8,1,24,1,6,1,30,1,6,1,30,1,29,1,28,1,30,1,28,1,6,2,8,1,9,1,8,1,10,1,11,1,17,1,10,1,12,1,11,1,9,1,8,1,28,7,30,1,8,1,17,1,9,1,7,1,28,35,13,1,17,1,8,1,6,1,28,1,6,1,15,1,12,1,9,1,8,1,7,1,6,1,30,1,6,1,29,1,7,1,24,1,9,1,10,1,17,1,9,2,6,1,28,3,30,1,6,1,14,1,24,1,29,1,28,3,6,2,13,1,8,1,9,2,12,2,10,1,9,1,12,1,8,1,30,1,6,2,8,2,17,1,8,1,28,3,12,2,24,1,30,1,29,1,28,1,30,1,28,44,6,1,8,2,6,1,28,8,}, {28,7,30,1,13,1,7,1,30,1,6,2,8,1,13,1,28,21,6,2,28,7,29,1,9,1,11,1,17,2,11,1,8,2,7,1,28,10,24,2,8,1,28,6,24,1,9,1,24,1,13,1,6,1,30,1,29,1,28,8,30,1,8,1,15,1,13,1,28,46,29,1,28,1,6,1,13,1,15,1,8,1,30,1,28,4,8,1,24,1,30,1,28,3,30,1,6,1,29,1,8,1,6,2,30,1,28,7,29,1,12,1,13,1,6,1,28,5,29,1,8,1,9,1,6,1,13,1,7,1,8,1,6,2,13,2,24,3,15,1,9,1,8,1,13,1,6,1,8,1,6,1,13,2,28,35,6,1,29,1,30,2,7,1,12,1,24,1,6,2,28,3,29,1,8,1,24,2,8,1,10,1,13,1,8,1,13,3,7,1,30,1,6,1,7,1,29,1,8,1,6,1,29,1,13,1,6,2,8,1,6,2,8,1,10,1,12,1,8,1,12,1,17,1,14,1,24,1,28,150,29,1,30,1,6,2,30,2,28,1,30,2,6,1,30,3,29,1,13,3,11,1,16,1,11,7,10,1,11,1,16,2,11,2,16,1,11,3,16,1,11,6,17,1,16,1,9,1,11,2,9,2,8,2,9,2,8,1,13,1,9,1,8,1,9,1,13,2,9,1,13,1,9,4,8,1,9,1,11,1,10,1,9,3,11,4,9,1,11,1,10,1,9,1,8,1,13,1,8,1,13,1,6,1,7,1,28,14,29,1,13,3,8,3,9,1,8,1,13,1,7,1,6,1,13,1,28,2,30,1,28,48,11,2,17,1,11,4,10,1,8,1,9,1,8,1,13,1,8,2,13,2,6,1,13,1,29,1,7,1,30,1,13,1,6,1,30,1,6,1,28,1,30,1,28,20,30,1,28,1,30,2,29,1,6,1,28,1,30,1,13,1,28,24,30,1,13,1,9,1,11,1,9,1,6,1,28,5,6,1,30,1,6,1,13,1,28,1,30,2,28,6,9,1,16,4,9,1,11,6,9,1,16,1,9,1,11,1,9,1,28,3,6,1,9,3,11,1,9,2,16,1,11,1,13,1,9,1,13,2,9,3,11,1,16,1,9,1,16,1,11,3,10,1,11,2,16,3,17,1,16,2,17,2,16,3,17,1,16,4,17,1,16,1,17,1,16,5,17,1,11,1,16,2,17,1,16,3,11,1,16,2,17,1,16,1,17,3,16,2,17,1,16,3,11,2,16,7,11,1,16,3,11,1,16,4,11,3,9,3,16,1,11,1,13,1,16,1,9,2,8,1,9,5,11,1,16,2,10,1,16,1,8,1,9,1,11,1,9,2,10,1,11,1,16,1,11,1,16,1,9,1,11,3,16,5,9,2,13,1,6,1,13,2,7,1,13,1,9,1,11,1,9,1,16,1,9,1,11,1,13,1,8,2,9,1,13,2,6,1,9,2,8,1,9,1,13,1,8,1,13,1,10,1,9,2,16,1,10,1,13,1,9,1,13,1,9,2,13,4,6,2,30,1,13,1,6,4,13,6,8,1,9,1,13,2,8,1,13,4,9,1,11,1,13,1,11,1,13,1,9,2,13,1,9,1,13,2,9,1,13,1,8,1,9,1,11,2,9,1,11,2,9,1,16,3,13,4,28,5,6,2,30,1,7,1,6,1,13,2,6,1,30,2,13,1,28,6,6,1,13,4,8,1,13,6,7,1,13,6,6,1,13,17,7,1,13,3,6,1,13,4,7,1,13,3,6,1,7,1,13,3,6,1,13,1,6,2,13,2,6,1,13,1,6,1,13,3,6,1,13,2,6,1,13,1,6,1,7,1,6,1,13,4,6,2,13,3,6,1,13,1,7,1,13,6,8,1,13,4,6,1,13,7,6,2,7,1,13,2,6,1,13,1,6,3,13,1,6,4,8,1,17,1,9,1,6,2,7,1,29,1,6,1,7,1,6,1,30,1,13,1,6,1,13,1,6,4,13,1,6,1,13,1,6,1,7,1,6,1,13,1,7,1,13,6,29,1,13,2,30,1,6,1,13,1,6,2,7,1,13,1,7,1,13,1,6,2,13,1,8,1,30,1,13,10,6,1,13,7,6,1,13,5,7,1,13,1,6,1,13,7,6,1,13,3,7,1,13,1,6,2,7,1,13,1,6,2,13,1,30,1,6,3,13,1,6,2,7,1,13,1,7,1,13,1,6,1,13,1,7,1,6,2,7,1,13,1,6,1,13,2,6,4,13,1,29,1,6,2,7,1,6,3,29,1,6,1,13,1,6,1,7,1,13,1,6,1,13,1,30,1,6,4,13,1,6,1,7,2,6,1,13,3,6,1,13,3,6,1,13,2,8,1,13,1,7,1,13,5,6,1,13,2,6,1,13,1,6,2,13,1,6,1,7,1,6,1,13,6,6,1,13,3,6,1,13,2,6,1,7,1,13,1,30,1,13,1,6,2,7,1,6,1,29,1,6,1,13,2,6,1,13,2,6,1,13,1,6,1,13,1,29,1,6,1,13,1,7,1,6,1,13,1,30,2,13,3,6,1,13,2,7,1,13,2,6,1,7,1,13,1,6,1,7,1,13,1,6,1,13,1,6,3,7,1,6,2,13,1,30,1,6,2,7,1,6,1,7,1,6,2,13,2,6,1,9,1,13,3,6,1,29,1,30,1,28,1,7,1,6,2,7,1,29,1,6,1,30,1,7,1,30,2,6,2,30,1,13,1,6,1,28,1,13,1,28,1,13,1,6,1,29,1,30,1,6,1,30,2,13,1,7,1,13,1,6,2,13,1,6,1,13,2,6,2,13,9,6,1,13,4,7,1,6,2,13,1,7,1,30,1,13,1,7,1,6,9,13,2,6,1,7,1,6,1,30,1,7,1,6,1,13,1,6,1,13,1,6,3,29,1,13,1,7,1,6,1,13,1,6,1,7,1,6,2,29,1,13,2,6,1,7,1,6,1,13,1,29,1,7,1,6,1,7,1,6,5,13,1,6,5,13,2,30,1,7,1,30,1,13,1,6,1,13,1,6,2,13,1,6,1,30,1,6,3,30,1,28,1,6,2,29,1,6,1,13,1,28,2,10,1,12,1,8,1,24,2,13,1,8,1,7,1,6,2,28,1,30,1,28,2,7,1,6,2,30,1,28,3,13,2,24,3,8,2,24,2,10,1,12,2,17,2,12,2,24,1,6,1,28,15,30,2,8,1,24,1,8,1,24,1,10,1,12,2,11,1,10,2,17,2,12,2,10,1,12,1,9,1,17,3,12,1,17,1,12,2,9,1,10,1,17,1,12,1,17,3,12,2,17,2,12,4,10,1,12,1,17,1,9,2,24,1,12,1,10,1,9,1,12,1,10,1,12,1,24,1,10,2,17,1,24,1,12,1,24,1,8,2,10,2,12,1,24,1,8,1,24,1,8,2,10,1,24,1,13,1,8,2,24,1,8,1,24,1,8,1,13,1,24,2,8,3,24,1,8,1,17,2,24,1,12,3,24,1,12,5,9,1,10,1,12,1,17,1,12,1,17,3,12,1,10,1,17,8,12,1,17,3,9,1,28,1,6,2,30,1,6,1,30,1,29,1,30,1,6,2,30,1,29,1,13,1,6,3,30,1,7,1,30,1,6,1,30,1,6,3,29,1,13,1,28,1,6,1,30,1,29,1,6,1,13,1,6,5,30,1,6,2,30,1,7,1,13,1,6,3,30,1,6,1,30,1,6,2,30,3,29,1,6,1,30,1,29,1,30,3,6,2,30,1,13,1,6,1,29,1,7,1,6,2,30,1,6,1,13,1,30,1,9,1,24,1,28,1,24,1,6,3,7,1,8,1,29,1,8,2,13,1,8,3,13,1,24,1,8,1,6,1,13,1,7,1,24,1,8,1,13,1,29,1,8,2,13,1,28,1,30,1,25,1,30,1,25,1,27,1,26,1,24,1,8,1,7,1,6,1,7,1,29,1,6,1,30,1,8,1,28,1,6,1,8,1,6,1,24,1,13,1,24,1,10,2,7,1,6,1,10,1,24,1,10,1,24,1,8,1,24,1,9,1,12,1,24,1,10,1,13,1,24,1,9,1,13,1,24,1,6,1,8,2,24,2,10,1,12,1,10,1,24,1,12,1,10,2,9,1,17,3,10,1,11,1,12,2,17,1,12,1,17,2,12,1,10,1,17,1,12,1,17,1,12,1,7,1,6,1,28,1,29,2,28,2,29,1,6,1,28,2,29,1,28,2,6,1,28,1,30,1,29,2,30,1,28,1,29,1,25,1,27,1,25,1,26,2,27,1,25,1,26,1,25,2,28,1,29,2,6,1,8,2,29,1,25,1,7,1,25,1,8,1,25,1,30,1,24,1,29,1,8,1,25,1,6,1,25,1,6,1,25,1,8,1,6,1,7,2,25,3,8,1,24,1,6,1,8,1,24,1,7,1,8,2,10,1,8,1,24,1,12,3,17,8,12,1,17,1,11,1,17,1,12,2,28,2,13,1,6,1,13,1,6,2,7,2,6,1,7,1,6,2,13,1,7,1,13,1,7,2,13,5,6,2,7,1,13,1,6,1,13,7,9,2,11,1,17,2,9,1,17,1,12,2,17,2,11,1,17,1,9,1,11,1,17,1,11,1,17,1,10,1,17,1,11,1,12,1,10,1,11,1,17,1,10,1,12,2,9,1,11,3,12,2,17,3,9,1,12,1,10,1,24,1,10,1,12,1,10,1,12,1,10,1,12,1,9,2,17,1,24,1,10,1,17,1,8,1,12,2,9,1,12,1,17,1,9,1,12,1,11,1,10,1,12,1,11,1,17,1,11,2,12,1,17,2,12,1,9,1,17,1,10,1,17,1,12,2,10,1,9,1,17,1,8,2,6,1,10,1,9,1,8,1,24,1,10,1,8,1,10,1,8,1,13,1,10,1,13,1,24,2,10,1,24,1,13,1,24,2,13,1,8,1,13,1,24,1,10,2,9,1,7,1,24,1,8,1,13,1,12,1,24,1,9,1,24,1,13,1,12,1,24,1,10,3,8,1,24,2,10,1,8,1,12,1,24,3,9,1,24,1,8,4,24,1,8,1,12,1,24,1,13,1,9,1,24,1,13,1,24,2,13,1,10,1,24,3,8,3,13,1,12,1,7,1,24,2,10,1,24,1,8,1,12,1,8,1,24,2,8,1,24,1,8,2,9,2,24,1,8,1,13,2,8,1,24,2,13,2,7,1,24,2,13,3,12,1,8,1,9,1,24,1,13,1,8,1,24,1,8,1,13,1,8,1,24,2,13,1,24,2,13,1,8,1,10,1,24,1,17,1,12,1,9,1,8,1,13,1,9,1,12,1,9,1,13,2,24,1,8,2,24,1,10,2,9,2,24,1,9,1,10,2,13,1,24,1,10,1,13,1,9,2,7,1,28,13,9,1,16,1,17,1,10,1,17,2,24,2,7,1,6,1,29,1,28,1,30,2,6,1,29,1,30,2,6,1,13,1,24,1,10,1,24,1,17,1,11,1,17,1,12,1,9,1,29,1,28,7,13,1,24,1,9,1,13,1,30,2,28,34,8,1,12,1,24,1,13,1,6,2,8,1,9,2,8,1,6,1,29,2,6,1,7,1,6,1,13,1,8,1,17,1,12,1,9,1,12,1,28,5,6,1,12,1,15,1,29,1,28,4,7,1,24,1,8,1,10,2,17,1,9,2,17,1,10,1,8,1,13,4,17,1,11,1,13,1,28,2,6,1,24,1,15,1,8,1,28,49,8,1,24,1,13,1,30,1,28,7,}, {28,4,30,4,7,1,13,1,7,1,13,2,28,20,7,1,28,1,29,1,28,8,30,1,13,1,24,1,10,1,17,2,9,2,6,2,28,9,30,1,13,1,24,1,13,1,28,5,30,1,24,1,9,1,8,1,13,1,6,2,28,9,30,1,8,1,14,1,29,1,30,1,28,43,30,3,29,1,30,1,10,1,24,2,6,1,28,1,30,1,28,2,13,1,6,1,7,1,29,1,30,1,6,1,7,1,13,1,24,1,6,1,13,1,29,1,6,1,28,7,6,1,8,1,6,2,28,1,30,1,28,3,29,1,13,1,10,1,6,1,7,1,6,2,29,1,13,3,6,1,24,1,9,1,24,1,10,1,8,1,7,1,6,1,13,2,6,1,13,1,28,35,6,1,28,1,30,1,6,1,24,1,9,1,12,1,6,1,28,4,6,1,12,1,9,1,24,1,8,1,13,1,6,1,24,1,13,1,7,1,6,1,29,1,13,1,6,1,13,1,6,1,13,1,29,1,6,1,7,1,13,1,6,1,8,4,24,1,12,1,15,1,12,1,17,2,24,1,30,1,28,144,30,1,28,5,30,1,28,1,30,1,28,1,30,1,29,1,30,2,28,1,30,1,6,2,13,1,9,1,16,2,11,1,16,4,11,1,16,2,9,1,16,2,11,2,16,1,11,5,16,3,11,1,16,1,9,1,16,1,10,1,16,1,10,1,9,6,10,1,13,1,9,1,8,1,13,3,8,1,9,3,8,1,9,1,8,1,9,2,11,1,13,1,9,1,10,1,11,1,10,1,9,1,11,1,10,1,11,1,9,1,11,1,9,3,13,3,29,1,28,14,30,1,28,1,29,1,13,1,9,2,13,1,9,1,8,1,6,1,8,1,28,1,29,1,6,1,28,50,8,1,12,1,11,1,9,1,17,1,9,3,10,1,9,2,13,1,9,1,8,2,13,2,6,1,13,3,6,2,30,1,29,1,28,1,30,1,28,16,30,1,28,2,30,1,28,2,30,2,6,1,29,1,13,1,28,1,13,1,30,1,28,18,30,1,28,6,13,1,9,1,11,1,9,1,6,1,28,5,6,3,13,1,28,2,30,1,28,5,6,1,13,1,9,1,16,1,11,4,9,2,11,2,9,1,16,1,9,1,16,1,9,1,30,1,28,2,6,2,13,1,9,4,10,2,16,1,9,3,13,2,9,2,11,1,9,2,11,1,9,1,11,1,9,1,11,1,16,2,11,2,9,1,11,1,17,1,11,1,17,3,16,3,17,1,16,1,17,1,16,6,17,3,16,2,17,1,9,1,16,1,11,1,17,1,16,2,17,2,16,1,17,2,11,1,17,1,16,2,17,2,16,2,17,1,16,1,11,1,16,4,9,1,16,1,11,1,16,1,11,1,16,2,11,1,16,3,11,1,9,1,16,1,11,3,9,1,11,2,9,4,11,1,9,1,11,1,9,2,16,1,17,1,9,2,16,1,11,1,9,1,10,1,9,1,11,3,16,2,9,1,16,6,17,1,11,2,13,6,9,2,8,1,13,1,11,1,9,1,11,1,9,2,16,1,9,1,8,3,9,1,13,1,8,1,13,2,10,1,8,2,11,1,13,1,16,2,13,2,8,1,9,1,10,1,9,1,30,1,6,2,13,1,30,2,6,1,30,1,13,2,6,1,13,2,7,1,13,3,8,1,13,1,6,1,8,1,9,1,13,2,8,1,13,1,9,2,8,1,9,1,16,1,13,1,9,1,13,1,9,1,13,1,9,1,13,1,16,1,9,3,11,2,9,1,16,1,11,1,9,1,17,1,11,1,8,1,13,1,28,1,6,1,28,5,29,1,13,7,6,3,29,1,7,1,30,1,28,3,6,1,13,8,7,1,8,1,13,3,9,1,29,1,13,9,7,1,13,1,6,1,13,2,7,1,8,1,6,1,13,1,6,1,13,1,7,1,13,9,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,5,7,1,13,5,6,1,13,1,6,2,13,1,30,1,13,1,6,1,13,2,7,1,6,1,13,2,6,2,13,2,6,1,13,2,7,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,7,1,13,3,8,1,13,2,6,3,13,1,6,3,7,1,13,1,29,1,13,3,6,1,30,1,13,1,6,2,13,1,6,1,13,1,17,1,13,1,6,1,7,1,13,1,29,1,6,2,13,1,6,2,30,1,13,1,6,1,13,2,6,4,7,2,6,2,13,1,6,2,30,1,6,2,7,1,13,5,6,2,7,1,6,2,7,1,6,1,13,1,6,1,13,4,7,2,13,1,6,2,13,1,30,1,13,1,6,1,8,2,13,3,8,1,6,1,13,6,6,1,13,4,6,1,7,1,6,1,13,1,6,1,13,2,6,1,13,1,6,2,13,2,6,3,7,1,29,1,13,2,6,1,13,1,29,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,4,6,1,13,1,6,2,29,1,6,2,13,1,30,1,6,1,13,2,6,2,13,1,6,7,30,1,13,1,6,1,13,1,7,1,30,1,13,1,29,1,6,1,7,1,6,1,30,1,13,1,6,2,29,1,7,1,6,1,7,1,13,5,9,1,6,1,13,1,8,1,13,3,6,1,13,1,6,1,7,1,13,1,6,1,13,2,6,1,7,2,6,1,13,4,7,1,6,2,13,2,6,1,13,1,6,2,13,4,6,1,13,1,7,1,13,1,6,1,7,1,6,1,13,3,6,1,7,2,13,2,7,1,13,1,6,1,13,3,6,3,13,1,6,1,13,3,7,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,13,1,30,1,13,1,6,1,7,1,6,1,13,1,29,1,13,1,6,1,29,1,6,2,13,1,6,2,13,1,6,1,13,2,8,1,13,1,6,2,13,1,6,1,29,1,6,1,30,1,6,1,30,1,29,1,13,1,6,1,13,3,6,2,30,1,6,2,13,1,30,1,13,1,30,1,7,2,6,1,13,1,6,1,13,1,6,5,30,2,6,1,13,3,6,1,13,3,6,1,13,5,6,5,13,1,7,1,13,1,6,1,30,1,6,1,7,2,6,1,13,3,6,1,30,1,6,1,13,1,6,1,13,1,6,5,30,1,13,1,6,1,13,1,6,4,7,1,29,1,6,1,7,1,13,1,6,1,7,1,30,1,6,3,29,1,6,1,13,1,30,1,13,1,30,1,7,2,6,1,7,1,6,1,30,1,7,1,6,1,13,1,6,2,13,1,6,2,7,1,6,2,30,1,7,1,30,1,6,4,13,2,30,1,6,1,30,2,6,2,7,1,30,1,6,1,28,1,6,1,11,2,24,2,8,2,28,16,24,1,13,1,9,1,12,1,10,1,24,3,17,1,11,1,17,1,12,1,17,2,10,1,24,1,9,1,30,1,28,15,6,1,7,1,6,1,24,2,10,1,24,1,12,2,10,2,9,1,10,2,24,1,17,1,24,1,17,1,10,1,12,5,24,1,17,2,10,1,12,1,9,1,10,1,12,3,10,1,17,1,12,1,17,1,12,2,10,1,12,2,9,1,12,1,10,1,12,1,10,1,17,1,10,1,17,1,10,1,12,1,24,1,10,1,12,1,24,1,12,1,24,1,8,1,10,1,24,3,8,1,24,3,12,1,8,1,24,1,10,1,24,3,8,1,24,1,13,1,10,1,12,1,10,1,24,2,8,1,24,1,17,1,12,1,17,1,12,1,24,1,17,1,12,1,10,1,24,1,9,1,10,1,12,1,24,1,12,1,17,1,12,1,10,1,17,3,12,4,17,10,9,1,6,2,30,1,6,1,30,4,6,2,30,1,6,1,30,1,13,1,30,1,29,1,7,1,6,4,7,3,6,1,7,1,6,5,30,2,29,1,30,2,7,1,30,1,6,1,29,1,6,2,30,2,13,2,30,1,6,3,30,1,13,1,29,1,30,1,6,1,30,1,6,1,30,1,28,1,6,3,30,1,6,1,13,1,30,1,29,1,6,1,30,1,6,3,29,2,6,1,12,1,29,1,7,2,6,3,30,1,6,2,7,1,8,1,13,1,7,1,13,1,8,1,24,1,6,1,13,1,8,3,24,2,8,2,29,2,8,1,13,1,24,1,7,1,29,1,24,1,25,1,29,1,8,2,28,1,6,1,30,1,29,1,30,1,28,1,29,1,6,1,13,1,29,1,24,3,10,1,24,1,25,1,8,1,10,2,24,4,8,1,17,1,24,1,10,1,24,2,9,1,10,1,24,2,13,1,8,1,24,1,9,1,24,2,12,1,9,1,12,3,17,1,12,1,24,1,9,1,10,1,12,1,10,1,12,3,17,1,12,1,17,1,12,1,17,3,24,1,30,2,28,1,30,1,28,2,30,1,29,1,6,1,30,3,28,2,30,1,6,1,29,2,28,1,6,1,29,1,30,1,6,1,25,1,6,1,25,2,27,2,8,2,6,1,26,1,25,2,6,2,29,1,25,3,6,2,29,1,6,1,30,1,25,1,7,1,8,1,7,1,8,2,7,1,6,2,8,2,25,1,6,1,24,3,13,1,24,3,8,2,12,1,24,1,10,2,24,1,17,8,12,1,17,1,12,1,10,1,17,1,12,1,11,1,9,1,30,1,28,1,13,2,6,1,13,1,6,1,7,2,6,1,7,1,13,1,6,2,13,1,6,2,13,2,6,4,13,7,6,1,13,3,9,2,11,1,9,2,17,3,11,1,12,2,17,1,12,1,17,2,12,1,17,4,12,1,11,1,9,1,17,1,10,1,11,1,12,2,10,1,17,1,10,1,9,1,17,1,9,1,12,1,9,1,12,1,10,1,12,1,8,1,12,1,17,1,8,1,9,1,12,1,24,1,12,1,17,1,12,1,9,1,8,1,12,1,17,1,24,1,10,1,11,1,9,1,24,2,10,2,24,1,17,1,12,2,9,1,17,2,12,3,10,1,17,1,11,1,9,1,8,1,12,1,10,4,24,1,9,2,8,1,12,1,9,1,8,3,13,1,24,1,12,1,24,1,13,1,9,1,10,1,8,1,13,1,12,1,7,1,13,1,9,1,7,1,24,1,9,1,7,1,8,1,9,1,12,1,24,1,13,1,8,1,24,1,7,1,10,1,24,1,8,1,24,1,10,2,9,1,10,1,24,3,9,1,24,1,8,1,10,1,6,1,24,2,17,1,8,2,24,1,12,1,8,1,24,1,8,1,6,1,24,3,7,1,8,1,24,1,8,1,9,1,24,1,13,1,10,1,8,2,13,1,9,1,24,1,8,2,24,1,12,1,13,1,8,1,9,1,24,1,8,1,9,2,8,1,24,1,12,1,8,4,13,2,8,1,13,1,24,1,13,3,8,1,24,1,13,1,7,1,13,1,24,1,8,1,13,1,8,1,13,1,8,3,24,1,8,1,24,1,10,1,8,1,9,1,10,1,8,1,24,1,29,1,24,2,6,1,8,1,9,2,24,1,9,1,10,1,8,1,24,2,9,1,24,1,12,1,10,1,12,1,10,1,12,1,13,1,17,1,8,1,9,2,24,1,8,1,24,1,9,1,7,1,10,1,28,9,30,1,28,4,8,1,10,1,17,1,11,1,17,1,8,1,24,2,13,1,7,1,29,1,30,2,28,1,30,1,28,1,29,1,13,2,24,1,9,2,10,1,17,1,10,1,11,1,17,1,10,1,28,7,29,1,7,1,9,1,13,1,8,1,29,1,28,7,30,1,28,2,30,1,28,24,24,1,10,1,7,1,6,2,7,1,10,1,15,1,8,2,13,1,30,1,13,3,29,1,8,2,24,1,12,1,17,1,8,1,29,1,30,1,28,3,6,1,14,1,15,1,6,1,28,3,30,1,13,1,8,1,9,1,10,1,9,1,17,1,12,1,17,1,9,2,13,5,17,1,9,2,28,2,30,1,13,1,17,1,13,1,6,1,28,47,30,1,8,3,28,8,}, {30,1,28,2,30,1,28,3,7,1,13,3,6,1,28,20,29,1,6,1,13,1,28,8,29,1,13,1,8,1,11,1,17,3,9,1,8,1,7,1,8,1,6,1,28,8,30,1,13,1,8,1,13,1,28,6,7,1,8,1,15,1,13,1,8,1,6,1,30,1,28,8,30,1,10,1,14,1,7,1,28,44,30,1,28,1,30,1,28,1,29,1,6,1,10,1,8,1,7,1,28,4,8,2,13,1,28,2,6,3,13,1,7,1,13,1,30,1,28,1,30,1,28,7,8,2,6,1,28,5,6,1,10,1,12,1,24,1,6,1,28,1,30,1,6,1,28,1,13,2,8,2,10,1,12,1,24,1,8,1,6,1,29,2,13,1,6,2,28,34,29,2,28,1,30,1,28,1,8,1,14,1,7,1,6,1,29,1,28,3,29,1,24,2,8,2,13,1,8,1,13,2,8,2,7,1,8,1,7,2,6,1,29,1,28,1,6,1,28,1,6,2,10,1,7,1,9,1,8,1,10,1,24,1,12,1,10,1,17,1,14,1,8,1,6,1,28,154,30,1,28,5,6,1,7,1,11,1,9,1,11,1,16,1,17,1,11,1,16,2,11,1,16,1,11,2,16,1,11,3,10,1,11,2,9,1,11,3,16,1,11,1,16,2,9,1,11,2,16,1,10,1,9,2,11,1,9,5,8,1,9,1,8,1,13,1,9,1,8,1,9,1,8,1,9,1,8,2,9,6,11,2,9,1,11,1,9,1,11,2,9,1,10,2,9,1,11,1,6,1,13,1,6,1,29,2,28,1,30,1,28,11,30,1,28,1,30,1,13,1,7,1,13,1,7,1,8,1,6,2,29,1,7,1,30,2,28,50,30,1,17,1,16,1,11,1,17,1,11,1,9,1,10,1,9,1,10,1,9,2,8,2,13,2,6,3,13,1,6,1,29,1,30,1,6,1,28,2,6,1,28,2,29,1,28,2,30,1,28,17,6,2,7,1,13,4,28,18,30,2,28,7,13,1,9,1,13,2,28,5,13,2,6,1,30,1,28,1,6,1,28,7,13,2,16,1,9,1,16,1,11,1,13,1,16,1,11,1,9,1,11,1,9,1,16,2,11,1,6,1,28,1,30,2,6,1,30,1,13,5,9,1,13,2,16,1,9,2,13,1,8,1,13,1,9,1,11,1,13,1,8,1,9,6,16,1,9,1,10,1,16,8,17,6,16,1,17,4,16,3,17,3,16,1,17,3,11,1,17,6,16,2,11,1,16,1,17,3,16,1,17,1,9,1,11,2,16,1,9,1,16,1,11,1,16,2,9,1,11,2,16,4,9,1,16,2,11,1,9,2,11,1,16,1,9,1,8,1,11,2,9,3,10,1,16,1,11,1,8,1,16,2,9,1,11,1,16,1,9,1,16,2,9,1,11,1,13,1,16,1,17,1,16,1,11,2,16,1,11,1,17,1,10,1,11,2,9,1,13,5,9,1,13,1,9,1,11,1,9,2,11,1,16,1,17,1,10,1,9,1,10,1,9,2,11,1,8,1,10,1,8,2,9,1,13,1,11,1,9,1,17,1,9,1,17,1,9,1,11,1,8,3,9,1,13,2,28,1,13,2,6,1,30,1,13,2,6,1,13,1,8,1,13,1,9,1,13,1,9,3,13,1,9,2,13,4,8,1,9,1,13,4,16,1,8,1,13,1,6,1,13,3,6,1,9,3,13,1,9,1,16,1,9,2,11,2,17,1,16,1,17,1,9,1,13,1,28,6,8,1,13,1,8,1,30,1,13,2,6,1,30,1,13,1,30,2,6,1,28,2,30,1,28,1,30,1,6,1,8,1,13,9,6,1,13,9,6,1,13,7,7,1,13,3,6,1,13,7,6,2,13,2,7,1,9,1,29,1,13,6,7,1,13,1,6,1,13,1,7,1,13,9,30,1,6,1,13,3,6,2,13,7,6,1,13,2,7,2,13,2,6,1,13,1,6,1,7,1,13,5,8,1,6,1,13,1,6,1,13,4,30,1,13,1,6,1,13,1,6,1,30,1,13,1,6,1,30,1,13,1,6,2,13,1,6,1,28,1,7,1,6,1,13,1,16,1,13,2,30,2,13,1,6,2,13,1,6,2,13,2,30,1,13,1,6,1,13,2,6,4,13,2,6,1,13,2,6,2,13,1,6,1,13,1,6,1,13,1,11,1,13,2,6,1,13,1,6,2,13,2,6,1,13,1,11,1,13,1,30,2,6,1,13,1,6,2,13,1,8,2,13,1,7,1,13,1,6,1,13,1,6,2,13,6,6,2,13,1,7,1,13,6,6,1,13,1,6,1,13,4,6,8,30,1,13,1,30,1,7,2,6,1,13,1,6,3,13,2,6,1,13,2,6,1,13,1,6,1,13,1,29,1,7,1,30,1,6,1,13,1,7,1,29,1,6,1,13,1,6,2,30,1,13,2,6,2,13,1,7,1,13,2,6,7,13,1,7,1,13,3,30,1,13,1,6,2,7,1,13,2,6,1,13,1,6,1,7,1,8,1,13,1,29,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,7,1,13,2,6,4,13,3,7,1,13,1,30,1,13,1,29,1,13,1,7,2,13,1,30,1,13,2,6,1,13,1,6,1,13,1,6,2,13,1,6,1,13,3,6,1,7,1,6,5,7,1,30,1,13,2,6,1,13,2,6,1,13,1,6,1,13,1,7,1,13,4,6,1,13,1,7,1,6,1,13,2,6,1,13,1,6,1,13,1,7,1,30,2,13,3,6,1,13,1,6,3,13,1,6,1,7,1,6,1,13,1,6,1,13,2,8,1,13,1,6,2,13,1,30,1,7,1,6,2,13,1,6,2,30,1,7,1,13,1,6,1,30,1,28,1,7,1,13,2,6,4,13,1,29,1,7,2,13,1,6,1,13,2,7,1,6,1,13,1,7,1,6,1,13,1,6,2,13,3,6,1,13,1,30,1,13,1,6,1,13,1,6,2,13,1,6,1,13,2,6,1,13,1,30,1,6,2,13,1,29,1,6,1,13,1,6,3,7,1,6,1,13,2,6,2,13,1,6,1,13,1,6,3,13,1,6,4,13,1,6,3,13,1,6,1,13,1,7,1,30,2,6,1,13,1,7,1,6,5,13,2,7,1,6,2,9,1,6,2,13,1,6,1,29,1,6,5,30,1,13,1,6,1,13,1,6,7,13,2,6,1,7,1,6,2,30,1,6,2,29,1,7,1,28,1,7,1,12,1,7,2,8,1,6,1,30,1,28,16,8,1,13,1,24,1,10,1,24,2,17,1,12,2,10,1,17,1,12,1,17,1,12,2,9,1,8,1,13,1,28,16,29,1,6,1,7,1,10,1,8,1,24,1,12,1,10,1,9,1,12,1,8,1,17,1,12,1,10,2,24,1,12,5,24,1,17,1,12,5,17,2,12,1,17,1,12,2,17,2,12,3,17,2,12,6,24,1,10,1,12,1,24,1,8,1,12,1,24,1,12,2,8,1,12,1,24,4,10,2,24,2,9,2,10,1,24,2,13,1,8,1,24,1,13,1,24,2,8,1,24,4,9,1,10,1,12,2,24,1,12,1,10,1,17,1,24,1,17,1,12,3,9,1,17,1,12,2,17,4,12,1,10,1,17,1,12,1,17,9,12,2,9,1,6,2,13,1,30,1,6,1,30,2,6,1,29,3,13,2,7,1,6,2,29,1,30,2,13,1,29,1,6,1,30,1,6,1,13,2,6,1,30,1,13,1,30,1,6,4,29,1,30,2,6,1,30,1,6,2,30,1,6,1,13,1,29,1,6,1,30,1,6,1,30,1,6,5,30,1,6,6,29,2,6,1,28,1,6,1,30,1,6,2,28,1,6,2,28,1,30,1,9,1,17,1,8,1,28,1,6,2,30,1,29,2,13,1,29,1,8,1,13,1,8,1,13,1,24,2,7,1,24,1,8,2,24,1,8,1,7,1,24,3,8,1,6,1,9,1,30,3,28,1,8,1,26,1,8,1,26,2,29,1,25,1,29,1,6,1,28,1,29,1,28,1,24,1,7,1,8,2,13,1,24,2,8,1,24,2,8,1,24,1,8,1,24,2,10,1,24,1,12,1,8,1,10,1,8,1,10,1,24,2,10,1,8,1,13,1,8,1,12,1,24,2,12,4,17,1,12,1,17,1,10,1,12,1,10,1,17,1,10,1,11,2,17,5,10,1,12,1,17,1,13,1,6,2,28,1,30,2,28,1,29,3,30,1,6,1,30,1,28,1,29,1,30,3,29,1,6,2,7,1,28,1,30,1,25,1,29,2,25,1,29,1,27,1,25,2,27,1,25,1,8,1,25,1,27,1,25,1,26,1,29,1,7,2,25,3,6,1,13,1,8,1,7,1,8,1,25,3,8,1,25,1,6,1,25,1,6,1,24,2,29,1,6,1,24,1,25,1,13,1,24,1,13,1,7,1,12,1,24,2,12,1,17,1,12,2,24,1,12,1,17,10,12,2,17,1,11,1,7,1,28,1,6,4,13,1,29,1,13,2,7,1,6,1,7,1,6,1,13,2,6,1,13,2,6,1,13,2,6,1,13,1,6,1,13,1,7,1,13,2,30,1,13,3,9,1,13,4,16,1,17,2,12,1,17,3,12,2,17,2,12,3,10,1,17,1,11,1,17,1,9,1,17,1,12,1,17,1,10,1,11,1,12,1,10,1,12,1,17,1,12,1,9,1,17,1,10,1,9,1,12,1,10,1,24,1,9,1,12,1,7,1,12,2,24,1,17,1,9,1,10,2,12,1,10,1,9,1,8,1,17,1,10,1,17,1,9,1,10,1,9,2,12,1,9,1,10,1,9,1,12,1,11,1,17,1,24,1,17,1,9,1,17,1,11,2,12,3,10,3,24,1,9,1,12,1,13,1,17,1,12,1,7,1,10,3,8,1,13,1,24,1,12,1,8,1,13,1,10,1,7,1,24,2,8,2,7,1,8,1,24,1,12,1,13,1,24,5,8,1,24,1,13,1,24,1,8,3,9,1,24,1,13,1,10,1,12,1,9,1,10,1,24,1,8,1,10,2,12,1,9,1,24,3,13,1,24,2,8,1,6,1,12,1,10,1,8,2,9,1,8,2,24,1,10,1,24,1,8,1,24,2,8,1,9,2,8,1,9,1,8,1,24,1,8,1,10,1,13,1,17,1,13,1,8,1,9,1,8,1,9,1,24,1,12,1,8,1,9,2,17,1,8,1,12,1,8,1,10,1,17,1,10,3,13,1,8,2,9,1,13,1,11,1,13,1,8,2,9,1,13,2,24,1,13,1,9,1,8,2,24,1,13,2,24,1,8,2,24,1,10,1,8,1,24,1,12,1,10,3,8,4,12,1,8,2,9,1,8,2,9,1,24,2,10,1,9,1,10,1,8,1,24,2,13,1,8,1,13,2,29,1,28,10,30,1,28,2,11,1,17,1,8,1,9,1,17,1,8,1,24,1,8,1,13,1,6,1,7,2,28,4,30,1,6,2,7,1,8,1,24,1,10,1,15,1,12,1,17,1,11,1,12,1,30,1,28,4,30,1,28,1,6,1,13,1,8,1,9,1,6,1,30,1,28,6,30,1,28,28,13,1,9,1,8,1,13,1,7,1,13,1,10,1,12,1,8,2,6,1,7,1,6,1,29,1,7,1,8,1,13,1,24,1,12,1,9,1,10,1,24,1,30,1,28,3,30,1,6,1,10,1,9,1,6,1,28,4,8,2,12,1,10,1,9,1,16,1,12,1,10,1,9,1,13,2,29,1,7,2,8,1,17,1,9,1,13,1,28,2,30,1,13,1,12,1,13,1,28,48,6,1,9,1,8,2,28,8,}, {28,3,6,1,13,2,6,1,13,2,7,1,6,1,28,20,30,2,13,1,28,8,30,1,6,1,9,1,24,1,12,1,11,1,17,2,9,2,8,2,28,9,29,1,6,1,8,1,24,1,30,1,28,5,8,1,9,1,17,1,8,1,13,1,6,1,30,1,6,1,30,1,28,6,30,1,24,1,9,1,8,1,28,48,30,1,7,1,24,2,13,1,30,3,28,1,13,1,24,1,7,1,30,3,6,1,7,1,29,1,7,1,29,2,28,8,30,1,8,2,6,1,28,5,30,1,10,2,13,3,28,1,6,1,29,1,8,2,29,1,8,1,24,1,8,1,9,1,24,1,30,1,13,1,8,1,6,1,8,1,7,1,30,1,28,32,30,1,28,1,30,3,6,2,13,1,24,1,6,1,13,1,28,4,9,1,24,2,8,1,7,1,29,1,6,2,13,3,6,1,8,1,7,1,6,3,24,1,28,1,8,1,13,2,7,2,8,1,24,1,12,1,24,1,9,1,17,1,14,1,9,1,30,1,28,153,30,1,28,5,29,1,9,1,11,3,17,1,11,1,16,1,11,3,16,2,11,2,10,2,11,5,16,1,11,3,16,2,9,1,11,2,9,1,16,1,11,1,10,1,11,2,9,5,8,1,9,1,13,2,9,1,13,1,9,4,8,1,9,4,8,1,9,5,11,1,9,1,11,1,9,1,10,1,9,3,13,1,8,1,7,1,13,1,7,1,28,2,30,1,28,11,30,3,29,1,7,1,13,1,29,1,13,1,8,1,7,1,28,1,30,1,28,52,9,1,12,1,9,2,16,1,11,1,9,2,8,1,9,1,8,3,13,1,7,1,13,1,6,1,13,2,6,1,30,2,7,1,28,1,6,1,28,23,6,1,28,1,30,1,6,2,13,2,11,1,28,20,6,1,30,1,28,6,30,1,9,2,13,1,6,1,28,4,6,5,28,8,30,1,9,1,11,1,9,1,16,1,11,1,16,1,9,1,11,1,9,1,11,2,9,2,13,1,28,1,30,1,28,1,6,2,28,1,6,1,28,1,13,1,6,1,9,1,13,1,9,1,8,1,11,1,9,2,13,4,9,7,11,1,9,3,13,2,9,4,11,3,17,2,11,2,17,14,16,1,17,2,16,1,17,1,16,1,17,3,16,1,17,1,16,3,17,1,16,1,17,1,16,1,11,1,16,2,11,1,16,3,17,1,16,1,11,1,16,1,11,1,9,1,16,1,9,1,11,1,16,2,11,1,9,1,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,13,2,9,1,11,1,9,2,13,1,9,1,16,2,11,1,16,1,11,1,17,1,11,1,9,1,11,1,9,1,16,1,17,1,11,2,9,1,16,2,11,1,16,1,9,2,13,1,9,1,13,6,8,1,9,1,13,1,11,2,9,1,10,1,8,1,16,1,12,1,10,1,11,1,8,1,11,1,16,1,9,1,16,1,9,1,10,1,11,1,10,1,17,1,9,3,11,1,10,1,8,1,9,2,7,1,6,1,13,2,30,4,6,1,13,1,6,2,13,3,9,1,11,1,13,1,9,1,8,1,9,1,13,2,9,3,8,2,13,1,9,2,13,1,9,1,13,2,6,1,13,1,8,3,13,1,9,3,16,1,10,1,11,1,16,1,17,1,11,1,9,1,16,1,10,1,8,1,28,5,30,2,6,1,13,2,6,2,8,1,6,1,30,1,6,3,28,5,6,1,7,1,13,3,6,1,13,18,6,1,13,2,6,1,13,1,6,1,13,2,7,1,13,4,6,2,13,2,9,1,13,2,6,1,13,6,6,2,13,3,6,1,13,2,7,1,6,1,13,3,6,1,13,2,6,2,13,1,6,1,13,1,6,1,30,1,6,1,13,4,6,1,13,1,7,1,13,6,6,2,13,1,6,1,13,1,6,2,13,3,7,1,13,2,6,1,13,6,6,2,30,1,6,2,9,2,13,1,6,2,30,1,6,1,30,1,28,1,6,1,30,1,6,1,13,2,28,1,6,3,30,1,6,1,28,1,13,1,6,4,30,1,6,1,13,2,30,1,13,1,6,1,30,1,6,1,13,1,6,3,13,1,6,1,28,1,6,2,28,1,13,1,9,1,6,1,30,1,6,1,28,1,30,1,28,1,6,1,30,2,13,1,6,3,30,2,6,1,28,2,30,1,13,2,6,1,13,2,30,1,7,3,30,1,13,4,6,2,13,1,6,1,13,2,6,1,28,1,30,1,6,1,13,1,6,3,29,1,13,1,7,1,6,5,13,1,6,3,13,1,29,1,7,1,6,4,13,1,6,5,13,1,6,2,13,1,6,1,13,1,6,7,13,1,6,2,13,1,7,1,6,1,30,1,13,2,6,1,13,1,6,2,7,1,30,1,13,1,7,1,13,1,30,1,13,1,6,1,30,1,13,1,6,1,13,4,6,1,13,1,6,1,13,1,6,2,13,1,7,1,8,1,13,2,6,1,9,1,6,1,13,2,6,1,30,1,6,3,13,1,6,1,29,1,6,1,13,1,6,1,13,1,7,1,6,2,13,2,6,1,13,1,6,1,13,1,30,1,6,1,13,1,6,1,30,2,6,3,29,1,6,2,13,1,6,1,13,1,7,2,13,1,6,4,13,1,6,1,13,2,6,1,13,1,29,1,13,9,7,1,13,1,6,1,13,2,6,1,13,1,6,2,13,1,6,1,7,1,6,2,7,1,13,1,6,1,13,2,6,1,13,1,6,1,30,1,6,2,30,1,6,1,13,1,30,1,13,2,6,2,30,3,7,1,6,1,30,1,6,2,13,2,30,1,7,1,29,1,7,1,13,2,7,1,29,1,6,1,30,1,13,1,7,1,6,4,7,1,30,2,29,1,6,1,13,3,29,1,6,5,13,4,30,1,13,1,6,1,13,2,6,1,13,1,7,1,29,1,13,1,6,1,7,1,6,3,8,1,30,1,6,2,13,1,6,1,30,1,6,2,30,1,13,1,7,1,13,1,6,1,13,1,7,2,6,1,7,1,6,3,30,1,6,1,13,1,6,3,30,1,13,1,30,1,13,3,30,1,7,1,13,3,6,1,13,2,6,2,13,2,6,3,7,3,6,4,7,1,13,1,7,1,29,1,13,1,30,1,13,3,7,1,6,7,30,1,6,2,7,1,6,1,13,1,6,1,13,1,9,1,30,1,28,3,30,1,28,16,6,1,13,3,24,1,6,1,8,1,17,1,11,1,17,1,12,1,17,2,10,1,12,2,10,1,13,1,7,1,28,14,6,1,28,1,29,1,7,1,24,1,8,1,10,1,24,2,10,3,12,1,24,1,12,1,24,1,12,1,24,1,10,4,12,1,24,1,12,1,9,1,12,2,17,1,24,1,12,1,17,2,12,3,10,1,17,1,10,1,17,1,12,2,24,1,10,1,12,1,17,1,9,1,12,3,9,1,24,1,12,5,10,1,8,2,10,1,12,1,17,1,24,3,12,1,24,1,8,3,17,1,24,1,10,1,24,1,10,1,9,1,13,1,10,1,8,1,24,1,10,2,13,1,24,1,17,3,7,1,17,1,9,1,17,1,10,1,12,3,10,1,17,1,12,3,17,1,12,1,17,2,12,1,17,2,12,1,17,6,12,1,17,2,13,2,6,2,29,1,6,1,30,1,6,2,30,1,6,4,28,1,30,1,6,1,13,1,30,1,6,2,30,1,6,9,30,1,28,1,30,2,7,1,6,2,30,1,6,2,30,3,6,2,29,1,30,1,6,1,29,1,6,1,30,1,6,1,13,1,6,2,30,1,29,1,30,3,6,2,30,2,6,2,29,1,6,3,13,1,6,1,30,2,29,1,9,1,8,1,28,2,7,1,6,1,29,1,13,1,29,1,13,1,7,2,29,1,7,1,8,2,30,1,13,2,7,1,13,1,8,1,7,2,6,2,7,1,6,1,29,2,28,1,6,1,25,1,29,1,28,1,29,2,25,1,29,2,6,1,28,1,8,1,28,1,6,1,29,1,7,1,29,1,13,1,7,2,24,1,12,1,8,1,13,1,12,1,8,1,24,2,12,2,24,1,17,1,8,1,12,1,10,1,8,1,10,2,24,4,13,1,10,1,8,2,12,2,24,1,17,1,12,1,10,1,12,3,10,2,12,4,17,2,12,1,11,1,17,1,12,1,8,1,29,1,30,1,29,1,30,4,6,1,30,1,29,1,7,1,30,1,28,1,29,1,30,1,28,1,30,1,6,1,30,2,28,1,6,2,29,1,6,1,28,1,6,1,30,1,24,1,25,1,8,1,25,1,27,1,10,1,25,1,6,1,8,1,6,1,25,1,8,1,25,1,24,1,8,1,26,1,8,1,13,1,30,1,6,1,8,1,24,1,30,1,13,1,7,1,8,1,24,2,25,2,6,1,25,1,8,2,24,1,6,1,12,1,8,1,10,2,8,2,12,1,8,1,10,1,24,3,12,1,10,1,17,8,12,3,17,2,7,1,28,1,30,1,6,1,13,1,6,1,13,1,6,1,13,2,6,4,7,3,13,1,6,4,13,1,6,1,13,3,6,2,7,1,13,3,6,1,13,1,7,1,10,1,11,3,12,1,17,7,9,1,12,1,10,1,12,1,11,1,12,2,17,1,9,1,17,1,12,2,17,1,9,1,17,1,10,1,11,1,9,1,8,1,12,1,9,1,17,3,12,2,9,1,10,1,24,1,12,1,9,1,8,1,12,1,17,1,8,1,17,1,12,1,11,1,12,1,13,1,17,1,24,1,12,1,10,2,12,1,17,1,12,1,10,1,12,1,9,1,8,1,17,1,12,2,9,1,17,1,10,1,17,1,9,1,12,1,24,1,10,1,9,2,24,1,10,1,24,2,12,1,10,1,24,3,13,1,8,1,10,1,24,2,13,1,24,3,8,1,24,1,8,1,24,2,8,1,13,1,8,1,24,2,12,1,8,2,24,1,9,1,10,1,8,1,9,1,8,3,10,1,9,1,24,1,10,1,12,1,10,1,24,1,8,1,10,1,24,1,8,2,24,1,12,1,10,1,12,1,24,1,9,1,13,1,24,4,8,1,24,1,9,1,8,1,13,1,24,1,13,2,7,1,13,1,24,3,8,1,13,1,10,1,9,2,10,1,8,1,24,1,8,1,17,1,9,1,8,1,17,2,10,1,9,1,10,1,11,1,12,2,9,1,11,1,10,3,9,1,11,1,13,1,11,1,12,1,11,1,10,1,12,2,9,3,24,1,13,2,8,5,9,1,24,3,10,1,8,1,9,1,8,1,12,1,8,1,9,1,13,1,9,1,8,1,24,1,10,1,9,1,11,1,8,1,24,1,8,2,24,4,8,1,9,3,24,1,8,2,7,1,24,2,9,1,13,1,28,14,10,1,17,1,12,1,11,1,17,1,13,1,6,1,13,2,8,1,6,1,30,1,6,1,28,2,29,2,8,1,13,1,6,1,10,1,24,1,10,1,15,1,14,2,9,1,10,1,29,1,28,7,13,1,10,1,8,1,7,1,28,36,7,1,9,1,7,1,28,1,29,1,7,1,17,1,24,2,8,1,29,1,28,1,30,1,6,1,28,1,13,1,8,1,24,1,10,2,12,1,8,1,28,1,30,1,28,2,6,2,15,1,14,1,6,1,28,3,6,1,13,1,30,1,12,1,11,1,17,1,12,2,11,1,17,1,13,1,30,1,6,2,13,1,8,1,12,1,10,1,8,1,28,2,29,1,24,1,8,1,7,1,28,48,29,1,24,1,13,1,6,1,28,8,}, {6,1,28,2,30,1,6,1,13,1,9,1,6,1,30,1,28,22,30,1,28,9,6,1,24,1,8,1,9,1,8,1,17,4,11,1,9,1,8,1,7,1,30,1,28,8,30,1,13,1,8,1,24,1,30,1,28,5,13,1,24,1,9,2,28,11,13,1,15,2,24,1,28,42,29,1,28,3,30,1,28,2,6,1,10,1,9,1,13,1,6,1,28,4,10,1,29,1,30,2,6,1,30,1,6,2,7,1,28,1,6,1,30,1,28,7,30,1,7,1,8,1,6,1,28,5,6,1,13,1,9,1,8,1,7,1,24,1,13,1,29,1,13,1,8,1,13,1,7,1,13,1,8,1,24,2,8,1,6,1,7,1,6,2,8,1,13,1,28,34,30,1,28,1,6,1,28,1,6,2,24,1,13,1,8,1,6,1,28,3,29,1,12,1,8,4,6,4,8,1,13,2,6,1,29,1,13,1,6,3,13,2,7,1,8,1,13,2,24,3,12,1,17,2,14,1,15,1,30,1,28,148,30,1,28,5,30,1,28,3,6,1,9,1,11,1,10,1,16,1,11,1,16,3,11,2,17,1,16,1,11,9,10,1,11,5,16,1,11,1,16,1,9,1,16,1,10,1,16,1,11,1,8,1,9,2,8,1,9,3,8,2,13,1,9,1,8,2,13,1,10,1,8,2,13,1,9,2,8,1,9,1,8,1,9,2,13,1,9,2,10,1,9,5,8,2,13,1,9,1,13,1,29,1,6,1,28,15,29,1,6,1,29,1,7,1,6,3,28,2,30,2,28,51,8,1,17,1,9,1,11,1,12,1,9,2,10,2,8,1,9,2,8,2,13,1,8,1,6,1,7,1,6,1,30,1,6,1,7,1,30,2,6,1,28,22,30,1,28,2,30,1,29,2,24,1,13,1,11,1,28,21,30,1,6,1,28,1,6,1,28,5,9,2,13,2,28,4,30,1,13,2,6,1,28,2,30,1,28,7,9,5,10,1,11,1,9,5,11,1,6,1,30,2,13,1,6,1,30,1,6,1,28,2,6,1,13,1,30,2,13,2,9,1,13,1,10,1,9,1,8,1,6,1,13,3,9,2,13,1,9,2,13,1,9,6,13,1,11,1,9,4,10,1,9,1,16,1,11,1,16,2,11,2,16,2,17,2,16,1,17,5,16,1,17,2,16,1,17,2,16,1,17,1,16,5,17,2,16,1,11,1,17,1,11,1,16,1,11,1,16,2,9,1,16,1,11,3,9,1,16,1,11,2,16,2,11,2,16,2,11,1,9,1,11,2,9,1,10,1,9,1,11,1,9,1,10,1,9,2,8,1,9,2,16,3,9,2,16,1,11,1,16,1,9,1,17,4,16,2,11,2,16,1,9,2,13,1,9,1,13,3,8,1,13,2,6,1,9,1,13,1,9,1,17,1,9,1,11,3,16,2,12,1,9,1,11,3,16,1,17,2,16,1,17,3,9,2,16,1,11,2,9,1,13,1,9,1,8,1,13,3,6,1,30,2,6,1,8,1,13,3,6,1,13,1,9,1,13,2,6,1,13,2,9,1,13,1,9,1,6,1,13,1,9,4,13,2,9,1,16,1,13,1,6,1,13,1,8,1,9,1,13,3,9,2,13,1,9,1,11,1,16,3,9,1,16,1,9,1,11,1,6,1,28,5,6,1,30,1,13,5,6,2,30,1,6,3,30,1,28,3,30,1,13,6,6,1,13,2,7,1,13,2,6,1,13,4,6,1,13,4,6,1,29,1,13,1,8,1,13,5,8,1,13,10,7,1,13,2,9,1,13,6,7,1,13,1,7,1,13,1,6,1,13,4,7,1,13,1,6,1,13,5,6,1,7,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,13,1,29,1,13,1,30,1,13,1,29,1,6,2,8,1,9,1,8,1,13,2,6,5,13,1,30,1,6,1,30,1,28,9,30,2,28,9,30,1,28,4,9,1,29,1,30,1,28,2,30,3,28,1,6,1,28,5,6,1,28,4,30,1,6,1,28,2,30,2,28,3,30,1,28,9,30,4,28,8,30,2,28,14,29,1,30,1,28,2,30,2,28,3,30,1,28,1,30,1,28,1,30,1,6,1,30,1,6,4,30,1,6,1,30,4,6,1,13,1,29,1,6,1,13,2,30,1,13,1,7,1,6,1,7,1,13,1,6,2,13,1,30,1,6,3,13,1,30,1,6,1,30,2,7,2,6,1,30,1,6,7,7,1,6,1,13,1,7,2,13,2,6,7,13,1,6,1,7,1,6,4,7,2,6,1,13,1,6,1,13,2,8,2,13,2,6,1,13,1,6,3,13,1,6,1,7,1,13,2,6,1,13,1,6,1,7,1,6,3,13,1,7,1,6,1,13,2,30,1,13,1,6,3,30,1,6,2,13,2,6,6,13,2,6,1,13,1,6,2,7,1,13,1,30,1,13,1,6,3,13,2,6,1,13,1,6,1,13,1,7,1,13,2,7,1,13,7,7,1,13,1,6,1,7,1,6,1,13,1,6,2,13,1,7,1,6,2,7,1,6,8,13,1,6,1,13,1,8,1,13,1,6,1,29,1,6,3,7,1,6,1,29,1,7,1,13,1,30,1,13,2,29,1,13,1,6,4,13,1,6,1,7,1,6,1,13,1,6,3,29,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,2,13,2,8,1,13,1,6,1,13,2,7,1,13,2,6,1,13,1,7,2,13,1,6,2,7,1,6,2,13,1,29,1,13,1,6,1,13,1,6,2,7,1,29,1,7,1,13,1,30,1,6,1,30,1,6,1,7,1,6,2,13,1,6,2,13,1,6,1,13,1,30,1,6,1,30,1,6,1,13,1,6,3,7,1,13,1,30,1,6,1,13,1,6,2,13,1,6,1,30,1,13,4,30,1,7,1,13,1,6,1,13,1,6,1,7,2,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,6,1,30,1,6,1,30,1,13,1,7,1,6,2,29,1,6,4,7,1,6,1,30,1,6,2,10,1,8,1,28,22,6,1,13,1,7,1,13,2,12,1,10,1,12,2,17,1,11,1,12,3,10,1,12,1,8,1,24,1,6,1,29,1,28,12,30,1,28,1,30,1,6,1,13,1,24,3,12,1,8,1,24,2,10,1,9,1,24,1,12,1,10,1,12,1,24,1,9,1,12,1,24,2,12,4,8,1,17,1,10,1,12,1,17,1,24,1,17,2,12,3,24,1,12,2,17,1,9,1,24,1,10,1,12,2,17,1,9,1,10,2,12,1,24,1,12,1,24,1,10,1,8,1,10,1,12,1,10,1,8,2,24,2,12,1,24,1,10,1,24,2,8,1,24,1,8,3,9,1,24,2,13,1,9,1,8,1,9,1,24,1,9,1,12,1,10,1,13,1,17,1,12,1,17,1,12,1,24,1,10,1,12,2,24,1,12,1,10,1,17,1,12,1,17,4,12,1,17,13,9,1,8,1,6,4,29,1,30,4,6,1,13,1,6,4,30,3,6,1,30,2,28,1,13,1,30,2,7,1,30,2,6,2,30,1,6,1,30,1,6,1,28,1,30,2,6,1,30,5,6,1,30,1,6,2,30,1,6,1,30,1,6,1,30,1,29,1,30,1,6,1,30,5,29,1,30,1,29,1,6,1,30,1,7,1,30,1,29,2,6,1,29,1,6,1,30,2,6,1,13,2,6,1,29,2,30,1,29,1,7,1,28,1,13,1,8,1,7,2,29,1,7,1,8,1,6,1,8,1,7,4,13,2,7,2,30,2,6,3,30,1,25,1,28,1,27,1,29,2,25,1,27,1,25,1,30,1,25,1,6,3,7,1,6,1,8,1,13,3,8,2,10,2,8,1,24,1,8,1,12,1,10,1,9,1,12,1,10,3,7,1,10,1,24,1,8,1,7,2,6,1,10,1,8,1,24,2,9,1,17,1,10,1,12,1,17,1,12,1,10,1,12,7,11,1,17,1,12,1,17,2,12,1,11,1,13,1,28,2,30,2,28,3,29,1,30,1,29,1,28,1,29,1,28,2,29,1,30,1,28,1,29,4,30,1,6,1,30,1,29,1,26,1,27,1,8,1,25,1,8,2,25,1,27,1,25,1,6,1,8,1,7,1,6,1,25,3,26,2,6,1,25,1,6,1,24,1,7,1,6,1,25,1,7,1,6,1,8,2,27,1,6,1,8,2,24,1,8,2,6,1,25,1,13,1,10,1,8,1,17,1,10,1,24,2,12,1,10,1,24,2,17,1,24,1,9,1,24,1,9,1,17,1,9,1,8,1,17,2,9,1,11,1,12,1,11,1,17,1,10,1,17,1,10,1,9,1,28,3,6,6,13,1,6,3,7,2,13,1,6,2,13,1,6,1,13,1,6,2,7,1,13,1,29,1,13,1,6,1,13,3,6,1,13,2,12,1,11,1,17,1,12,1,11,1,17,1,12,1,17,2,12,2,17,1,10,1,17,3,10,1,12,1,17,2,12,1,9,1,17,2,12,1,10,1,12,1,9,1,12,2,9,2,10,1,11,1,9,1,17,1,9,1,12,1,10,1,11,1,24,1,12,1,10,2,24,1,9,1,17,1,24,1,10,1,9,1,12,1,24,1,10,1,17,1,12,2,10,1,12,3,24,2,9,2,12,1,9,1,12,1,11,1,12,2,9,1,12,1,11,1,24,1,13,1,11,1,10,1,12,1,8,1,24,1,12,1,9,1,13,1,24,1,8,1,13,1,8,1,10,1,7,1,8,1,13,1,24,2,8,3,13,1,17,1,30,1,12,1,7,1,24,1,9,1,24,3,13,1,24,2,8,1,10,1,9,1,24,3,10,1,13,1,7,1,8,2,12,1,24,2,12,1,8,1,9,1,24,1,8,3,10,1,24,1,12,1,7,1,24,1,8,2,10,1,24,1,13,1,24,1,9,1,10,1,24,1,6,1,10,2,24,1,12,1,24,1,9,1,24,1,10,1,12,1,9,2,10,1,11,1,17,1,9,3,17,1,10,1,17,1,9,4,17,1,11,1,8,1,12,1,9,1,10,1,9,1,13,1,11,1,9,1,10,2,8,1,13,1,10,1,17,1,9,1,17,2,8,2,11,1,10,1,9,1,8,4,13,1,8,2,13,1,8,3,9,1,24,2,8,1,9,1,24,1,12,1,13,1,11,1,10,3,8,1,9,1,13,1,9,1,24,2,8,1,9,1,10,1,8,1,10,1,24,1,10,1,24,1,8,1,13,1,24,1,8,1,13,2,30,1,28,12,6,1,24,1,10,1,12,1,11,1,12,2,13,1,6,3,7,1,6,1,30,1,28,2,30,1,7,1,13,1,7,1,13,1,24,2,15,1,10,3,17,1,9,1,6,1,28,7,29,1,12,1,13,1,29,1,28,1,30,1,28,34,8,1,9,2,13,1,29,2,10,1,24,1,12,1,24,1,6,2,30,2,29,1,6,2,9,3,10,1,24,1,30,1,28,3,7,1,13,1,10,1,17,1,7,1,28,4,6,2,9,2,17,2,12,2,9,2,8,1,6,1,13,1,7,1,10,1,16,1,11,1,29,1,6,1,28,1,13,1,8,1,9,1,13,1,28,48,13,2,9,2,28,8,}, {30,1,28,1,30,2,13,2,28,24,29,1,28,7,30,1,29,1,13,1,9,1,24,1,8,1,9,1,8,1,11,1,17,3,11,1,9,2,6,2,28,8,6,2,13,1,8,1,30,2,28,4,7,1,24,3,29,1,6,1,28,9,7,1,24,1,17,1,15,1,28,9,6,1,28,33,30,1,28,2,6,1,28,2,30,1,24,2,9,1,28,3,30,1,24,2,7,1,6,1,28,1,6,1,29,2,7,1,6,1,30,1,6,1,30,2,28,6,6,1,7,1,13,1,30,1,28,1,29,1,28,4,24,1,10,2,8,1,13,1,8,1,6,1,24,1,8,1,24,1,6,2,7,1,24,1,7,1,8,1,13,1,6,1,8,1,30,1,8,2,28,38,29,1,7,1,24,1,8,1,6,1,29,1,28,4,24,1,8,1,24,2,6,1,13,1,7,1,8,1,13,2,6,1,9,1,6,1,7,1,6,3,7,1,30,1,7,1,8,1,7,1,13,2,24,1,12,1,17,1,12,1,9,1,17,2,12,1,29,1,28,157,7,1,9,1,11,3,16,1,11,1,16,1,11,3,9,2,17,1,9,1,11,1,10,2,11,1,10,1,11,2,9,1,11,1,9,2,11,3,9,1,11,1,9,1,11,1,9,1,16,1,11,1,10,1,11,1,9,3,8,1,10,1,9,1,8,3,13,2,9,1,8,1,12,1,8,1,13,1,9,3,13,1,9,1,10,1,13,1,10,1,13,1,9,2,10,2,9,1,10,2,13,6,6,2,29,1,28,13,6,1,30,2,28,1,29,1,6,1,28,1,6,1,28,1,29,1,28,52,8,1,11,1,12,1,11,2,16,1,9,1,8,1,9,2,13,1,9,1,13,5,7,1,8,1,6,2,30,1,6,1,30,2,28,25,30,2,13,1,6,1,13,1,17,1,6,1,28,21,30,1,28,1,30,1,28,6,13,4,28,4,13,3,6,1,28,1,13,1,30,1,28,7,13,3,9,2,13,1,9,1,13,1,16,1,9,1,13,1,9,1,13,1,28,2,30,1,13,2,28,3,6,1,30,1,6,2,13,1,6,1,30,1,13,2,9,1,11,1,13,4,9,4,13,2,9,1,11,1,8,1,13,3,9,1,13,2,9,1,13,3,9,2,13,1,9,1,13,1,9,4,16,1,11,1,17,1,16,1,17,1,16,1,17,2,16,2,17,1,16,1,17,1,16,2,17,1,16,3,17,1,16,1,11,1,17,2,11,2,16,1,11,1,16,2,9,3,11,1,16,1,11,2,16,2,11,1,16,1,10,1,16,4,11,1,9,1,16,1,9,2,16,1,9,2,8,1,9,1,13,1,9,3,16,1,8,1,16,2,11,1,16,1,13,1,16,1,11,1,16,2,17,1,16,2,17,1,9,1,13,1,16,1,9,1,11,1,9,1,13,3,9,1,13,2,8,1,11,1,13,2,9,1,13,1,9,1,11,1,13,1,8,1,13,1,11,1,8,2,9,1,11,1,8,1,9,1,16,1,11,1,10,1,9,1,16,1,11,1,9,2,11,1,16,1,11,1,9,1,13,3,7,1,6,1,13,1,30,1,13,1,6,1,28,1,6,1,13,1,6,2,13,3,8,1,13,1,9,1,13,1,9,2,6,1,13,2,9,1,13,1,9,2,13,1,9,1,8,1,13,1,9,2,13,7,9,6,11,1,16,1,11,1,17,1,11,1,17,1,13,1,28,6,30,1,6,2,13,5,6,1,13,1,28,1,30,2,28,4,13,1,6,1,7,1,30,1,13,8,6,1,13,1,7,2,13,5,8,1,13,3,8,1,13,1,7,1,13,5,7,1,13,5,7,1,13,10,6,1,13,1,9,1,13,2,6,1,13,1,6,1,13,1,7,1,6,1,13,2,6,1,30,6,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,6,1,30,1,28,1,6,1,28,1,13,1,28,1,6,1,28,15,6,1,28,4,30,4,28,3,29,1,30,3,13,1,6,2,13,1,6,1,13,1,8,1,13,1,17,2,13,2,6,2,13,1,30,1,6,1,13,1,30,1,7,2,8,1,6,1,13,1,6,1,13,5,29,1,13,1,6,1,13,2,7,1,8,1,13,2,6,2,13,2,6,1,13,9,7,1,13,3,6,3,30,2,28,1,6,1,30,1,29,1,30,1,6,5,13,1,28,1,6,2,30,1,28,2,30,1,29,1,30,1,28,3,30,1,28,18,6,1,28,2,30,1,28,2,30,1,28,1,30,2,28,2,30,2,6,1,13,5,6,2,13,2,6,2,13,6,7,1,13,1,6,1,7,1,13,2,30,1,13,1,30,1,6,1,7,2,6,1,13,1,6,2,13,1,6,1,7,1,6,3,13,3,6,2,13,1,6,1,9,1,13,3,7,1,13,4,6,1,8,1,30,1,6,1,13,2,6,1,13,1,7,1,6,1,30,1,13,1,6,2,13,1,6,1,7,1,6,5,13,1,7,1,13,1,6,3,13,1,6,7,30,1,6,1,30,1,6,3,13,2,7,3,13,1,6,1,7,1,13,2,6,1,13,2,7,1,13,6,6,1,30,1,7,1,6,1,30,1,7,1,13,1,6,2,7,1,6,1,7,1,13,5,6,1,29,1,13,1,30,1,6,2,13,1,6,1,13,1,9,1,6,1,13,1,29,1,30,1,29,1,6,1,13,1,30,1,6,2,13,1,6,2,30,1,13,1,6,1,13,1,6,2,30,1,6,1,13,1,28,1,6,3,8,2,13,1,6,2,13,1,6,5,30,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,2,6,2,7,1,6,1,13,2,6,3,30,1,13,1,6,1,29,1,13,1,6,2,13,1,6,2,7,2,13,1,6,2,13,1,6,2,13,1,6,1,13,1,6,1,13,1,30,1,6,3,7,1,6,1,13,1,6,5,13,1,6,1,13,1,6,1,13,1,6,4,7,1,13,2,6,2,13,1,6,2,13,1,6,1,13,1,7,1,6,3,7,1,13,3,6,2,13,1,6,3,7,2,30,1,6,3,30,1,13,1,28,1,8,2,28,21,30,1,29,1,6,1,13,1,8,1,9,2,10,1,12,1,11,1,12,2,11,1,12,2,24,1,12,1,10,1,24,1,8,1,13,1,30,1,28,12,30,2,7,1,8,1,24,1,8,1,24,1,8,2,24,8,12,1,10,1,8,1,24,2,12,3,17,1,24,1,12,1,10,1,17,1,10,2,17,1,12,3,10,1,12,1,17,1,9,1,12,1,24,1,17,1,10,1,12,1,24,1,12,1,10,1,24,1,12,2,8,1,17,1,10,2,24,1,12,2,10,1,24,1,10,1,24,1,12,1,24,1,10,3,9,1,24,2,10,2,29,1,10,1,12,1,24,1,13,1,12,1,13,1,24,1,12,1,24,1,10,2,13,1,17,1,12,1,10,2,17,1,24,1,9,1,12,1,8,1,12,1,17,1,12,2,11,1,17,3,12,1,17,4,12,1,17,8,6,1,13,1,6,8,30,1,6,2,7,1,6,1,30,1,29,1,30,1,29,1,30,2,6,4,29,2,30,1,6,2,30,5,28,1,6,1,30,1,6,1,29,1,30,1,29,1,30,5,6,1,28,2,6,1,29,1,6,1,30,4,29,2,28,1,30,2,6,1,30,2,6,1,30,1,6,1,29,1,6,2,7,1,29,1,7,1,30,1,29,1,8,1,7,1,6,1,29,1,30,1,29,1,28,1,6,1,29,1,6,1,7,2,29,1,7,1,29,1,6,2,8,1,7,1,6,1,7,1,6,1,7,1,6,1,29,1,28,1,6,2,7,1,6,1,29,1,30,1,28,1,27,2,25,1,29,1,27,1,29,1,25,2,30,1,6,2,29,1,6,1,7,3,6,1,25,1,24,1,7,1,24,2,13,1,9,1,13,1,8,1,24,1,10,1,8,1,24,1,17,1,10,1,24,2,13,1,12,2,10,2,24,1,9,1,10,2,17,1,12,2,10,1,12,2,24,1,12,1,10,1,17,4,12,3,17,1,10,1,17,1,12,1,8,1,13,1,30,1,6,1,29,1,30,3,28,1,30,1,28,1,30,2,28,1,6,1,28,1,6,1,30,1,6,1,28,1,30,1,6,1,29,1,6,1,30,1,29,2,6,3,25,2,29,1,26,2,25,1,8,1,6,1,25,1,6,1,8,1,6,1,26,1,8,1,27,1,8,1,25,2,7,1,24,1,25,1,24,1,8,1,24,1,6,1,26,1,8,1,25,1,8,1,29,1,25,1,6,1,13,1,8,1,24,1,13,1,7,1,10,1,24,3,17,1,12,1,24,2,17,2,24,2,9,1,12,1,17,1,12,2,17,4,12,1,17,1,12,1,17,1,11,1,17,2,10,1,6,1,28,2,13,1,6,1,13,1,6,6,7,1,13,4,6,3,7,1,6,1,29,1,6,1,13,1,6,1,7,1,6,1,13,1,30,1,29,1,13,1,9,1,16,1,17,3,12,1,10,1,12,2,11,1,10,1,12,1,17,1,12,2,24,1,17,1,11,1,12,1,17,1,12,1,17,1,12,1,11,1,17,1,11,1,17,1,12,1,17,1,10,1,24,2,12,1,17,1,12,3,8,1,24,1,17,1,8,2,24,1,12,2,10,1,24,1,9,1,12,1,9,1,10,1,12,1,8,1,24,1,9,2,24,1,10,1,17,1,24,1,9,1,8,1,11,1,8,1,12,1,9,2,10,1,11,1,12,1,17,1,9,1,10,2,9,1,24,1,12,1,9,1,12,1,24,1,12,2,9,1,10,1,7,1,10,1,17,1,8,1,24,1,8,3,24,2,9,1,12,1,13,1,9,1,24,1,13,2,24,1,8,1,13,1,8,2,24,1,8,1,24,1,12,1,8,1,24,2,8,1,24,2,9,1,24,1,12,2,24,1,10,1,8,1,10,2,12,1,9,1,24,1,13,1,24,1,8,1,10,2,24,1,10,1,24,1,10,1,8,1,24,1,13,1,8,1,24,3,13,1,8,1,24,2,12,1,8,1,9,1,24,1,11,1,12,1,9,1,17,1,12,1,17,1,12,1,11,1,9,2,17,1,10,1,11,1,17,1,8,1,17,1,10,1,17,2,10,1,9,1,11,1,16,1,13,1,10,1,9,3,13,1,6,1,13,4,9,1,13,1,8,1,30,1,13,2,9,1,8,1,16,1,8,1,17,2,10,1,11,1,9,1,11,1,9,1,11,1,12,1,11,1,9,2,17,1,9,1,8,1,9,1,10,2,8,2,13,1,17,2,9,2,8,1,10,1,9,1,24,1,8,1,9,2,24,1,8,2,12,1,8,1,13,1,8,2,24,1,8,1,28,13,30,1,8,1,12,1,9,1,24,1,17,1,10,1,8,1,30,1,13,1,7,1,6,2,29,4,13,2,7,1,13,1,7,1,10,1,8,1,15,1,12,1,16,1,17,1,9,1,6,1,28,6,30,1,9,2,8,1,13,1,28,36,13,1,15,1,13,1,6,2,30,1,9,1,12,1,9,1,8,1,6,1,28,1,6,2,7,1,13,1,7,1,24,1,9,1,12,1,10,1,7,1,30,2,28,3,13,1,12,1,16,1,28,2,30,2,29,1,6,2,24,1,11,1,12,1,16,1,17,1,12,1,10,1,9,1,13,1,6,1,13,2,11,1,10,1,17,1,6,1,28,2,6,1,29,1,17,1,6,1,28,48,8,1,15,1,13,2,28,8,}, {29,1,30,1,13,2,7,1,28,12,8,1,28,9,6,2,28,8,6,1,24,1,8,1,9,1,11,1,8,1,6,1,8,1,10,1,17,4,9,1,13,3,30,1,28,8,30,1,13,1,8,1,7,1,6,1,28,5,30,1,10,1,9,1,6,3,30,1,28,8,30,1,24,3,28,45,29,1,28,3,29,1,24,1,8,1,29,1,28,3,30,2,13,1,6,2,28,1,30,1,29,1,6,1,7,1,30,1,6,1,29,2,30,1,28,6,7,1,13,2,6,1,30,1,29,1,28,4,9,1,24,1,10,2,7,1,13,1,7,1,13,1,24,1,8,1,13,1,6,1,7,1,8,2,6,1,8,2,13,1,30,1,6,1,13,1,28,32,30,1,28,4,7,1,30,1,13,1,24,1,14,1,29,1,28,5,8,1,9,1,8,1,24,1,8,1,24,1,13,1,7,1,6,1,13,1,6,6,30,2,13,1,6,1,13,2,7,1,13,1,9,1,17,1,8,1,24,1,8,1,17,2,9,1,6,1,30,1,28,148,30,1,28,5,6,1,13,1,11,3,16,1,10,1,16,1,11,1,16,3,11,1,16,2,10,1,11,1,10,1,11,5,9,2,10,1,9,1,11,2,9,1,11,2,9,1,11,5,9,1,11,1,9,1,8,1,9,4,8,1,9,2,13,1,9,2,13,1,9,1,10,2,8,1,9,4,13,2,9,1,13,1,8,1,9,2,8,1,9,2,13,1,8,1,13,1,8,1,13,1,6,2,30,3,28,11,30,2,6,2,30,1,6,1,30,1,6,1,28,1,6,1,28,53,13,1,17,1,9,1,11,2,10,2,11,1,9,3,13,1,8,1,9,1,7,1,8,1,13,2,6,1,13,1,6,1,29,3,30,1,28,27,6,1,8,1,6,1,10,1,13,1,28,24,30,1,28,6,7,1,8,1,9,1,13,1,28,4,6,1,13,1,28,1,6,1,13,1,30,1,28,1,30,1,28,6,13,1,11,1,9,3,10,1,9,6,13,1,28,1,30,1,13,2,30,1,28,2,6,1,28,1,30,2,28,4,30,2,13,1,9,2,11,1,13,1,6,1,13,1,9,4,11,1,9,1,13,1,9,1,11,1,13,3,9,1,13,6,9,5,16,1,9,4,16,4,9,1,16,2,17,1,11,1,16,1,11,1,16,3,11,1,16,2,11,1,9,1,13,1,17,2,16,1,11,7,9,1,11,3,16,1,9,1,11,1,16,1,11,2,17,1,16,1,17,1,11,4,16,1,9,1,11,2,9,4,11,1,9,1,16,1,8,1,9,1,16,1,17,1,9,1,11,1,9,1,16,1,11,3,16,1,9,1,16,1,9,1,11,1,13,1,9,2,8,1,13,1,9,1,13,2,11,1,13,2,9,1,13,2,9,1,13,2,9,1,11,1,9,3,8,1,9,3,10,2,11,1,13,3,9,1,13,2,9,1,11,1,9,1,11,1,13,1,8,1,13,1,9,1,6,1,13,2,6,1,13,1,6,1,13,1,30,1,9,1,13,1,6,1,13,3,9,1,6,1,8,1,13,1,9,2,13,2,9,1,13,1,6,1,9,1,8,1,9,1,13,1,8,1,13,2,8,1,16,1,13,2,9,1,13,3,9,1,11,1,9,2,16,1,9,1,16,1,9,1,16,3,11,1,13,1,30,1,28,5,7,2,13,1,6,1,8,1,13,1,8,1,28,2,6,1,8,2,28,2,30,2,28,1,6,1,13,11,6,1,13,4,8,1,7,1,13,4,7,1,13,5,30,1,13,8,6,1,13,1,8,1,13,7,6,1,13,1,8,1,13,3,6,1,30,2,6,2,29,1,30,1,28,5,30,1,28,16,30,1,28,4,30,1,6,2,30,1,7,1,13,5,7,1,9,1,13,4,9,3,8,2,9,1,13,8,9,1,13,2,8,1,13,1,8,1,13,3,6,1,9,1,11,1,6,1,13,6,6,1,13,2,6,1,13,2,8,1,13,4,6,1,13,4,6,1,13,7,6,1,13,2,6,1,9,1,6,1,13,1,9,1,13,1,8,1,13,3,8,1,13,2,9,1,13,4,8,1,13,5,6,1,13,5,8,1,13,2,8,1,13,1,9,1,6,1,13,1,9,1,13,3,8,1,13,2,8,1,9,1,13,2,6,1,13,2,30,1,6,1,13,1,6,1,13,1,6,1,28,1,30,3,28,3,6,1,28,19,30,1,6,1,13,1,6,1,13,1,9,1,13,1,8,1,13,2,8,1,6,3,13,2,6,2,7,1,13,1,7,1,30,1,6,1,30,4,7,1,6,1,13,1,6,2,7,3,6,1,17,1,9,1,8,1,13,1,7,1,13,2,30,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,7,1,6,1,13,1,6,4,30,1,7,1,13,1,7,1,30,1,13,1,6,1,29,1,6,2,30,2,6,6,13,1,6,1,13,1,6,2,13,1,30,1,7,1,13,2,30,1,6,1,30,1,6,1,13,1,6,1,29,1,6,4,7,1,6,2,13,1,7,1,6,1,13,1,6,2,13,2,6,2,13,1,7,1,6,2,13,1,6,1,13,2,6,1,13,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,6,3,13,1,8,1,13,1,6,4,13,1,29,1,6,1,30,1,6,1,7,1,29,1,6,1,13,1,6,1,13,2,7,1,13,1,28,1,13,2,6,1,7,1,6,1,13,1,6,1,13,4,6,1,7,1,13,4,7,1,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,2,13,1,6,1,13,3,7,1,13,1,7,2,6,2,13,2,6,1,29,1,13,1,29,1,6,4,7,2,13,1,6,2,13,1,6,1,13,2,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,2,13,2,6,2,13,1,6,2,7,1,13,3,6,1,13,1,29,1,13,1,6,1,13,1,6,1,13,2,7,1,13,1,7,1,29,1,13,1,6,2,7,1,13,1,6,1,7,1,13,1,30,1,6,1,13,3,6,1,13,3,6,1,7,1,6,4,7,1,6,1,7,1,6,1,30,1,9,1,6,1,30,1,28,13,29,1,6,3,29,1,7,1,8,2,10,1,17,1,8,1,28,1,24,1,10,1,17,1,12,1,11,1,12,2,11,1,10,1,9,1,12,1,9,1,8,1,10,1,24,1,7,1,8,1,30,1,28,9,30,2,6,1,7,1,8,2,24,3,25,1,24,2,7,1,24,5,8,1,24,1,8,1,12,1,24,2,12,3,17,1,12,4,17,1,12,3,17,2,12,2,17,1,12,1,24,1,17,1,10,1,9,1,12,1,10,1,9,1,24,1,9,1,17,1,24,2,17,1,24,1,12,1,24,1,10,1,12,1,10,1,8,1,13,1,8,1,24,2,9,1,24,3,13,1,24,1,10,1,9,1,8,1,10,1,24,2,10,1,12,1,24,1,10,2,9,1,10,2,12,1,17,2,24,1,10,1,12,2,17,1,10,1,8,1,12,1,17,1,12,1,10,1,17,1,12,2,17,1,12,1,17,1,12,1,17,9,7,1,13,2,6,1,29,1,6,1,30,1,6,2,30,1,6,1,30,1,6,2,7,1,6,1,30,1,6,1,28,1,30,1,28,1,6,1,29,1,6,1,30,1,6,1,30,1,29,1,6,1,30,1,6,1,30,5,6,1,30,1,6,1,30,3,28,1,30,6,29,1,6,1,30,1,6,2,30,5,6,1,30,1,6,1,28,1,30,2,6,1,30,1,6,1,28,1,30,1,29,1,30,1,6,1,13,1,29,1,6,1,30,1,8,2,28,1,30,1,29,2,30,1,6,1,28,1,29,1,6,1,7,1,6,1,28,1,30,1,24,1,30,1,7,1,29,1,6,2,29,1,7,1,28,1,7,1,30,1,29,1,28,1,29,1,30,1,29,1,28,1,27,2,29,2,27,1,29,3,6,1,25,1,6,1,29,1,25,4,29,1,7,2,24,1,6,1,13,1,24,1,8,1,10,1,24,1,8,1,10,1,24,1,8,1,10,1,12,1,6,1,24,1,12,1,24,2,13,1,24,2,8,1,13,1,8,1,7,1,8,1,24,1,17,1,12,1,9,1,17,1,8,1,12,1,17,1,9,1,10,1,17,3,11,1,17,3,11,2,8,1,30,1,28,1,30,1,28,1,29,1,28,1,30,3,28,1,30,2,28,1,30,2,28,2,29,1,30,1,29,1,28,1,6,1,29,2,6,1,30,1,7,1,25,1,6,1,29,1,25,5,6,1,25,2,27,1,8,1,25,1,24,1,25,1,27,1,25,1,8,2,25,3,7,1,24,1,25,1,6,1,27,1,25,1,24,1,25,1,24,1,25,1,24,1,8,1,6,1,10,1,13,1,8,2,24,1,10,1,24,1,8,2,12,1,24,1,10,2,24,1,10,1,24,1,12,1,17,1,12,2,8,1,17,1,12,1,17,1,11,1,12,1,17,3,12,1,17,2,28,3,6,1,7,1,6,1,30,1,6,5,13,1,7,1,13,2,6,3,13,1,6,2,13,1,6,1,13,1,6,1,13,2,28,1,30,1,6,1,9,1,17,1,12,1,17,1,10,1,17,4,12,1,17,2,12,1,17,3,10,1,17,1,12,1,11,1,12,1,17,3,12,2,10,1,24,1,10,1,12,3,9,1,8,1,10,1,9,1,8,1,17,1,9,1,10,1,9,1,10,1,11,1,24,1,10,1,13,1,12,1,24,1,10,1,9,1,12,1,10,1,24,1,12,1,24,3,17,1,8,1,24,1,12,2,24,1,12,1,24,1,9,2,24,1,9,2,10,1,8,1,12,1,8,1,9,2,10,1,9,1,10,2,9,2,12,1,13,1,8,1,9,1,13,1,10,1,8,1,24,3,13,1,8,1,13,2,24,1,10,1,8,1,7,1,10,1,8,1,24,2,10,1,24,1,8,1,24,1,13,1,12,1,8,2,24,1,12,2,24,1,10,1,17,1,8,1,10,1,8,1,13,1,12,1,9,1,10,1,24,2,10,1,24,2,10,1,13,1,8,1,24,1,10,1,12,1,24,1,10,1,24,1,9,1,8,1,10,1,8,1,24,1,10,1,24,1,9,1,8,1,24,1,9,1,10,1,24,1,17,1,9,1,17,2,10,1,17,1,8,1,9,2,11,2,9,1,11,1,9,1,16,1,9,2,11,1,17,1,13,1,11,2,9,1,11,1,9,1,13,1,8,1,13,1,8,1,13,1,7,1,8,1,13,1,9,1,13,1,16,1,11,1,13,1,9,1,13,1,8,1,11,2,8,1,9,2,13,2,9,4,10,1,9,5,12,1,16,1,9,2,8,3,9,1,13,1,9,1,11,1,17,1,13,1,17,1,9,1,12,1,9,1,11,2,24,1,9,2,8,1,13,1,24,1,10,1,8,2,9,1,28,13,6,1,9,1,11,3,9,2,8,1,6,1,13,1,29,1,6,1,29,2,6,3,13,2,29,2,8,2,15,1,11,1,12,1,17,2,8,1,6,1,28,7,7,1,9,2,6,1,28,36,24,1,9,1,13,1,29,1,7,1,6,1,24,1,17,1,24,1,9,1,8,2,29,1,6,2,13,2,8,1,24,3,6,1,28,5,9,1,12,1,9,1,13,1,28,1,30,2,13,1,28,1,7,1,8,1,12,1,15,1,17,1,12,1,9,1,8,2,9,1,29,1,6,2,9,1,17,1,16,1,13,1,28,1,30,2,24,1,10,1,13,1,28,48,6,1,12,2,24,1,28,8,}, {13,2,7,1,28,12,13,1,8,1,6,1,28,7,30,1,6,1,28,9,8,1,13,2,24,1,9,1,13,4,9,1,11,1,17,3,16,1,13,1,8,1,13,1,6,1,28,8,29,1,6,1,8,1,7,1,28,6,6,1,24,1,13,2,29,1,6,1,28,9,6,1,13,1,12,1,8,1,29,1,28,45,6,1,28,2,29,1,8,2,6,1,28,4,6,1,24,1,6,2,28,2,30,1,13,1,29,2,6,2,30,1,6,1,28,7,8,1,13,1,6,2,28,5,8,1,24,2,8,1,13,1,6,2,13,2,6,1,13,2,29,1,7,1,8,1,7,1,8,1,6,1,7,1,29,1,7,3,28,37,6,2,10,1,15,1,13,1,28,5,24,1,15,1,10,1,24,1,9,2,8,1,24,1,8,1,13,2,6,1,7,1,6,2,7,1,29,1,30,1,24,1,30,2,13,1,6,1,24,1,9,1,13,1,9,2,11,1,17,2,9,1,8,1,28,148,30,1,28,3,30,1,28,1,6,1,8,1,16,1,11,2,16,4,11,1,16,3,11,5,9,1,10,1,11,2,10,1,11,5,16,1,11,4,16,1,11,2,16,1,9,1,16,1,9,1,11,1,8,1,13,1,8,4,13,3,8,2,9,2,8,2,13,1,9,1,13,1,8,1,9,1,8,2,9,1,13,2,9,2,8,2,9,1,7,1,13,2,6,1,7,1,13,2,29,4,30,1,28,10,29,1,28,1,30,1,28,1,30,4,6,1,28,53,6,1,17,1,9,1,11,1,12,1,11,1,16,1,9,2,13,1,9,1,8,4,13,2,6,1,24,1,6,1,29,1,30,1,28,1,7,1,6,1,28,27,29,1,6,1,7,1,13,1,12,1,28,23,30,3,28,7,6,1,13,1,9,1,28,5,13,1,6,2,28,1,30,1,6,1,28,1,30,1,28,5,6,1,13,1,9,2,13,3,9,1,11,2,9,2,30,1,28,1,6,1,13,1,28,2,6,1,28,1,30,1,13,3,30,1,28,5,30,1,13,1,11,2,13,2,6,1,13,1,9,7,13,1,9,1,13,5,7,1,6,2,13,4,9,1,8,1,9,1,8,1,13,1,9,2,11,1,9,1,11,5,9,3,8,1,11,1,16,1,9,1,11,1,9,2,13,3,17,4,9,1,11,2,9,3,11,1,9,1,11,3,9,1,11,1,9,2,16,1,11,2,16,1,9,2,13,1,11,1,9,1,16,2,9,1,11,1,9,2,13,1,9,1,11,1,9,2,11,1,17,1,11,2,9,3,17,1,9,1,11,1,17,1,16,1,11,1,9,2,13,3,8,1,13,1,9,4,13,1,8,2,9,1,13,3,8,1,9,1,11,2,8,2,6,1,13,1,9,1,13,4,29,1,13,2,8,1,13,2,9,1,7,1,13,2,6,1,13,2,30,1,13,1,6,1,13,2,6,1,7,1,8,2,13,2,8,1,9,1,13,1,9,2,13,1,9,1,13,2,8,1,13,1,9,1,13,1,9,1,7,1,13,2,9,1,13,1,8,1,13,1,8,1,9,4,8,1,13,1,9,2,11,1,10,1,11,1,9,1,11,1,16,1,17,1,11,1,16,3,7,1,28,6,30,1,6,1,7,1,6,1,13,2,30,1,6,4,30,1,28,3,30,1,28,2,7,1,13,9,6,1,13,8,8,1,13,1,9,1,13,1,6,1,13,2,6,1,13,4,6,1,13,7,6,4,30,1,6,1,30,2,13,1,6,1,30,1,28,1,6,1,30,1,28,1,30,1,28,21,13,1,6,3,30,1,13,2,30,1,7,1,13,5,9,2,13,5,8,1,13,11,7,1,8,1,9,1,7,1,13,3,8,1,13,3,6,1,13,1,6,1,13,3,9,2,17,1,9,1,6,1,13,1,6,2,7,1,6,1,7,1,13,5,29,1,13,2,9,1,6,1,13,2,6,1,13,2,7,1,13,1,6,2,13,3,6,1,13,3,8,1,13,2,30,1,9,1,13,2,6,1,13,2,6,1,7,1,6,1,13,3,6,2,13,2,6,2,7,1,13,4,30,1,13,5,7,1,13,2,6,1,13,2,6,1,13,1,30,1,13,3,8,1,13,1,6,1,13,2,6,1,8,1,6,1,13,3,7,1,13,2,9,2,6,1,13,7,9,1,6,1,13,1,7,1,6,1,29,1,13,1,30,1,28,1,30,1,28,5,30,1,28,14,30,2,28,1,6,5,30,1,6,2,28,1,29,1,30,1,6,1,29,1,6,1,30,1,6,2,28,1,7,1,11,1,17,1,16,1,13,2,6,1,30,1,6,1,7,1,13,1,6,1,13,2,7,1,13,2,6,1,13,5,6,3,13,1,6,1,13,1,6,2,13,1,6,2,13,2,7,1,6,4,13,1,6,1,13,1,6,2,7,1,6,7,7,1,6,1,13,1,6,2,7,1,30,1,13,2,6,1,13,1,7,1,13,2,7,1,6,2,13,3,30,1,7,1,6,1,13,2,6,2,13,3,6,1,13,3,6,1,9,1,6,1,13,1,7,1,13,1,6,1,30,1,6,1,13,2,7,1,13,1,6,3,7,2,6,2,13,1,6,1,13,1,6,2,13,1,7,1,13,1,7,1,6,2,30,1,13,3,7,1,6,1,13,3,6,2,7,1,6,2,13,1,6,3,13,1,6,1,13,6,30,1,13,3,7,1,6,1,13,1,6,1,7,1,6,2,7,2,13,1,7,1,6,1,13,1,29,1,6,7,30,1,13,1,6,3,13,1,30,1,6,2,7,1,6,2,13,1,6,1,30,1,6,2,7,1,13,2,30,1,13,2,7,1,13,1,7,1,13,3,29,1,13,1,6,1,13,4,6,1,13,3,6,1,13,2,29,1,6,1,13,2,6,1,13,1,6,3,7,1,13,1,6,3,13,1,6,1,13,1,30,1,6,3,30,1,7,1,13,1,30,1,6,1,7,1,28,3,13,3,24,1,6,2,30,1,28,3,13,1,7,1,13,1,9,1,17,3,12,1,17,2,12,1,17,4,6,1,28,1,7,1,17,1,11,1,9,1,11,1,9,1,12,2,9,1,10,2,8,1,9,1,24,2,13,1,7,1,13,1,29,1,30,2,28,5,30,1,28,2,29,1,6,1,8,2,13,1,24,1,6,1,24,1,7,1,24,1,7,1,8,3,24,1,8,1,10,1,24,2,10,2,8,1,10,3,9,1,17,1,9,1,12,2,17,1,12,1,24,1,17,2,12,4,17,2,12,5,17,2,9,1,12,2,24,1,10,1,17,1,24,1,10,1,12,2,10,1,24,1,12,1,8,1,24,2,8,1,10,1,8,1,12,1,24,1,10,1,13,1,12,2,10,2,12,1,8,1,12,1,24,1,8,2,17,1,8,2,17,1,12,1,24,1,8,1,17,1,12,1,9,1,17,1,12,1,17,1,12,1,17,3,9,1,17,1,12,2,17,5,12,1,17,6,7,1,6,5,30,3,6,1,29,1,6,1,30,1,29,1,6,4,30,1,6,2,30,2,6,2,30,2,29,1,30,1,6,2,30,5,6,1,30,4,6,1,30,2,28,1,30,4,28,1,30,1,7,1,30,2,6,3,30,7,6,1,30,1,29,1,13,1,6,1,29,1,6,1,30,1,13,1,6,1,30,1,29,1,6,1,12,1,6,1,28,2,29,2,28,1,29,1,13,1,29,2,6,2,29,1,13,1,30,1,6,1,7,1,8,1,30,1,13,1,8,1,6,1,7,1,28,3,30,1,28,1,30,1,28,1,30,1,26,1,30,1,29,2,30,1,27,1,6,2,29,1,30,1,6,1,27,1,29,1,6,1,8,1,6,1,26,1,25,1,24,1,8,2,24,1,8,1,24,3,12,1,8,1,9,1,12,2,24,1,12,1,10,1,24,1,9,1,12,1,9,1,10,1,13,1,8,1,9,1,24,1,9,1,10,1,8,1,12,2,8,1,17,3,12,4,9,1,12,1,17,1,11,1,9,1,11,1,8,1,13,2,28,1,29,1,28,1,6,1,30,1,28,1,30,1,28,2,6,1,30,2,29,1,28,1,6,1,29,1,30,1,28,1,30,1,28,1,30,1,29,1,28,1,30,2,29,1,28,1,6,1,7,1,8,1,29,1,25,4,8,1,24,1,25,2,24,1,25,1,8,3,25,1,8,1,25,1,29,1,25,1,13,1,7,1,25,2,8,2,26,1,24,1,27,1,25,3,7,1,8,1,24,1,8,1,12,1,24,1,6,1,8,1,12,3,24,1,10,1,12,2,10,1,17,1,12,5,9,1,12,1,17,2,12,1,11,1,12,1,17,2,12,2,11,1,13,1,28,2,30,1,6,1,13,1,6,1,13,1,6,5,7,1,13,1,6,3,13,1,6,4,13,4,28,1,30,1,6,1,9,1,17,1,11,1,17,3,12,1,17,1,12,3,11,1,17,1,24,1,11,1,17,2,12,2,17,1,12,1,17,1,10,1,17,1,12,1,10,1,9,1,11,1,12,1,10,1,24,1,12,2,24,1,10,2,9,1,12,1,9,3,10,5,9,1,12,1,10,2,8,1,9,1,12,1,24,1,12,1,17,1,8,1,12,2,8,1,17,1,24,2,17,1,24,2,10,1,8,1,17,1,12,1,9,1,17,1,8,1,9,1,24,1,9,1,10,1,17,1,10,2,9,1,24,2,13,1,24,1,8,1,24,2,8,1,6,1,8,1,24,1,8,1,24,1,8,1,24,1,12,1,24,1,8,1,24,1,10,1,9,1,24,1,12,1,13,1,24,2,8,3,13,2,10,1,13,1,6,1,13,1,30,1,13,2,24,2,12,1,24,1,12,1,10,1,12,1,10,1,9,1,24,2,10,1,24,1,8,1,13,1,24,1,8,1,13,1,12,1,24,2,13,1,12,1,24,2,8,1,24,1,9,1,8,1,12,2,17,2,12,1,24,1,9,1,17,1,12,1,10,1,12,1,11,2,9,1,10,1,13,1,8,5,13,1,9,2,10,1,8,1,9,1,16,1,10,1,11,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,11,1,13,1,9,2,16,1,9,5,13,1,9,1,13,1,9,1,7,1,13,3,6,1,13,6,6,2,13,2,8,1,6,4,30,1,6,1,7,1,9,1,8,1,9,3,11,1,8,1,10,1,8,1,13,1,9,1,24,3,8,1,24,1,13,1,8,1,30,1,28,12,6,1,9,1,17,1,10,1,17,1,9,1,12,1,8,1,13,2,7,2,13,1,6,2,29,1,28,1,6,2,7,1,13,1,8,1,9,2,14,1,16,1,17,3,29,1,28,6,30,1,8,1,9,1,13,1,7,1,30,1,28,11,30,2,28,21,6,1,24,1,9,1,13,1,6,2,8,1,9,1,10,2,13,2,29,1,30,1,29,1,6,3,9,1,24,1,9,2,13,1,28,1,29,1,28,2,30,1,24,1,10,1,9,1,6,1,28,1,30,1,28,1,6,2,13,1,8,1,9,1,15,1,16,1,11,1,9,2,13,2,7,1,6,1,24,1,8,2,11,1,13,1,30,3,17,1,9,1,13,1,30,2,28,46,6,1,15,1,14,1,29,1,28,8,}, {30,1,29,1,28,12,13,2,29,1,28,5,30,1,29,1,6,2,28,8,6,1,13,1,24,1,13,1,24,1,13,1,8,1,13,1,8,1,7,1,8,1,9,1,17,5,9,2,13,2,28,9,29,1,8,1,6,1,28,6,6,1,24,1,8,1,7,1,29,2,28,10,17,1,10,1,8,1,28,45,6,1,28,2,30,1,28,1,12,1,8,1,30,1,28,4,30,1,8,1,6,1,30,2,29,1,13,1,29,1,6,1,28,1,6,1,8,1,29,1,30,1,28,7,8,2,7,1,28,6,9,1,12,1,13,1,29,1,7,1,29,1,8,1,6,1,13,2,6,2,7,1,13,1,10,1,7,1,6,2,13,1,7,1,13,1,8,1,28,13,30,1,28,22,30,1,29,1,6,2,10,1,15,1,13,1,30,1,28,4,8,1,15,2,24,2,13,4,24,2,8,1,30,1,13,1,8,1,28,1,6,2,29,2,13,1,7,1,13,2,7,2,8,1,17,1,12,2,17,1,12,1,6,1,30,1,28,130,30,1,28,17,30,1,28,3,8,2,11,2,16,2,11,1,16,1,10,1,11,1,17,1,11,2,16,2,11,1,16,1,9,1,11,3,9,1,11,2,9,1,11,3,16,1,11,1,16,1,9,1,11,1,9,1,11,1,16,1,11,2,9,5,8,1,9,1,8,1,9,1,8,1,9,2,8,1,9,1,8,1,9,2,8,2,9,1,13,1,9,1,8,1,13,3,9,1,13,1,8,1,13,2,7,1,6,1,13,1,29,1,13,2,7,1,13,2,28,1,30,1,28,3,30,1,28,9,30,1,6,1,28,1,30,1,6,1,28,2,30,1,28,54,6,1,16,1,17,1,9,1,11,1,10,1,11,1,9,2,8,2,13,6,7,1,13,1,6,1,13,1,6,1,30,1,6,1,28,26,30,1,28,1,6,1,28,1,13,2,11,1,28,26,30,2,28,6,6,1,9,1,8,1,28,4,7,1,6,2,28,1,6,1,28,3,30,1,28,6,13,1,9,3,13,1,9,1,11,1,9,1,11,1,9,2,30,1,28,1,6,1,13,1,28,3,6,1,9,3,13,1,6,1,28,6,30,1,13,1,9,1,11,1,13,4,9,1,13,1,9,3,13,9,6,1,13,1,28,1,13,4,30,1,13,1,9,4,13,1,9,3,11,1,13,1,16,1,9,1,13,1,9,5,11,2,9,1,8,1,9,1,13,1,17,3,16,2,11,1,9,1,10,1,9,8,10,2,16,1,11,1,17,1,11,1,9,1,11,1,9,2,16,1,11,1,16,1,13,1,9,3,8,1,11,2,16,1,9,2,17,1,11,2,10,1,9,1,16,1,11,2,16,1,11,2,9,1,13,1,9,1,13,3,8,1,9,1,8,1,9,1,13,1,9,1,7,1,13,1,9,1,13,7,11,1,10,1,13,1,6,3,13,2,7,1,13,1,6,1,9,1,13,10,28,1,13,2,30,1,13,3,6,1,8,1,13,1,9,1,13,5,11,1,13,1,9,1,13,2,8,1,9,1,13,2,9,1,13,2,9,1,13,3,6,1,9,1,13,1,16,1,13,1,8,1,9,1,13,1,9,1,13,2,9,1,11,2,17,1,16,1,9,1,13,1,11,1,17,1,9,1,28,7,30,1,6,1,13,1,30,2,9,1,30,1,28,2,7,1,29,1,28,1,29,1,28,4,13,3,7,1,13,15,9,1,8,1,9,1,13,2,28,1,13,2,6,1,13,1,8,1,9,1,6,2,13,1,6,1,30,1,6,2,8,1,30,1,28,25,30,1,28,1,30,3,13,1,6,1,13,1,9,2,13,3,8,1,13,1,9,1,13,1,8,2,13,13,7,1,13,2,6,2,13,2,6,1,13,5,6,1,30,1,13,1,6,1,29,1,13,12,16,1,9,1,16,1,17,1,13,2,30,1,6,1,13,2,6,2,13,1,6,1,13,1,6,2,7,1,13,1,29,1,7,1,6,1,13,1,6,2,8,1,6,5,13,3,6,1,13,3,6,1,13,1,6,1,13,2,6,1,7,1,6,1,13,1,7,1,13,3,6,1,13,3,6,2,7,1,6,1,13,2,6,1,7,1,6,1,7,1,6,1,13,9,7,1,13,4,6,1,7,1,13,3,6,1,13,1,6,2,8,1,30,1,13,6,30,1,6,1,13,9,9,1,13,4,9,1,13,1,6,1,13,5,6,1,13,1,7,1,13,3,28,1,6,1,13,1,30,2,6,1,30,1,29,1,30,1,28,12,30,1,28,10,8,1,17,1,13,1,28,3,30,1,28,1,30,1,28,2,30,1,6,1,28,1,6,1,30,2,13,1,6,1,13,4,8,1,13,1,6,1,13,3,6,3,13,3,7,1,6,1,13,1,6,2,13,1,7,1,6,6,13,2,6,3,13,1,6,1,7,1,6,1,13,2,6,4,7,1,13,1,30,1,13,2,6,1,13,1,6,1,29,1,7,1,13,1,6,1,13,2,7,1,13,1,6,1,7,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,8,3,13,1,8,2,7,1,13,1,6,1,13,1,6,1,30,1,7,2,6,2,7,1,6,1,7,1,13,3,6,1,13,1,6,1,13,2,6,2,13,1,6,1,13,5,7,1,13,3,7,1,6,1,13,3,6,1,13,2,7,2,8,1,13,2,7,1,13,7,6,2,7,1,6,1,29,1,13,1,6,1,7,1,6,5,13,1,29,1,13,3,6,4,7,1,6,5,13,1,7,1,6,3,29,1,13,2,6,2,7,2,6,1,13,1,7,1,13,1,6,1,13,2,6,5,7,1,6,1,13,1,6,2,13,1,6,1,8,1,6,3,13,1,6,3,13,5,6,2,13,2,6,3,30,1,13,1,28,1,30,1,6,1,30,1,28,4,9,4,12,1,9,2,8,1,9,1,8,1,17,1,12,2,10,1,12,1,9,1,24,1,10,1,9,1,12,1,17,1,8,1,13,1,9,1,6,1,28,1,6,1,17,2,12,2,9,1,12,1,9,1,10,1,9,1,24,1,10,1,8,2,24,1,8,2,13,1,7,3,6,1,28,5,30,2,7,2,8,2,13,1,24,1,13,1,8,1,13,1,8,1,7,2,24,1,8,3,24,2,8,2,12,1,10,2,12,1,17,1,12,1,9,1,24,1,10,1,12,1,9,1,12,1,17,2,24,1,12,1,9,1,17,2,10,1,12,1,17,2,12,1,17,3,12,1,17,1,12,5,8,2,12,1,24,2,12,1,10,1,12,1,24,3,12,1,8,1,24,2,8,1,9,1,12,1,9,1,24,2,9,1,8,1,17,1,12,1,24,1,12,4,17,2,10,1,8,2,10,1,12,1,17,1,12,1,17,1,9,1,10,1,17,1,12,1,10,1,12,1,17,3,12,1,17,1,12,1,17,1,12,1,17,5,8,1,13,1,7,1,6,1,29,1,13,1,6,4,30,2,6,8,29,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,6,2,13,1,30,2,28,1,30,1,6,1,29,1,6,2,30,1,29,1,6,1,29,1,30,1,29,1,30,5,6,2,30,1,7,1,29,1,30,2,29,1,6,1,28,1,6,1,13,1,30,2,6,4,30,2,29,1,6,1,29,1,7,1,30,1,7,1,9,1,30,1,28,2,29,1,28,1,29,1,30,1,6,1,7,1,6,1,30,1,6,1,29,2,13,1,29,1,13,1,6,2,8,1,6,2,7,1,28,1,29,1,28,2,30,1,27,1,30,2,29,1,30,1,29,2,25,1,28,1,27,1,30,1,29,2,6,1,28,1,6,2,7,2,25,3,13,1,10,1,6,1,12,1,8,1,12,1,28,1,10,1,8,1,24,1,12,1,17,1,9,1,12,1,9,1,7,1,13,2,24,1,8,1,10,1,8,2,9,1,8,1,12,2,10,1,12,2,17,1,9,1,12,1,17,1,12,1,17,5,11,3,7,1,28,1,13,1,29,2,28,1,30,3,6,1,28,2,30,2,28,1,30,4,28,1,29,2,28,1,30,2,28,1,6,1,30,2,7,1,25,1,29,1,8,1,6,1,25,1,29,1,8,1,6,1,25,1,7,1,6,1,25,1,24,1,25,1,27,1,24,1,25,1,27,1,29,1,8,1,24,1,25,1,8,1,13,1,8,1,6,1,7,1,24,1,6,1,26,2,8,1,25,1,24,2,8,1,7,1,29,1,13,1,17,1,8,1,12,1,13,1,12,1,10,1,24,1,10,1,12,1,10,2,24,1,17,1,10,1,12,3,9,1,17,2,12,2,17,1,12,1,17,4,11,1,10,1,28,3,6,3,30,2,7,1,6,4,7,1,13,1,30,1,6,2,13,1,6,3,13,1,6,1,28,2,30,1,6,1,9,1,17,1,16,1,12,1,17,1,12,1,17,4,12,2,17,2,24,1,12,1,17,1,9,1,12,3,9,1,12,1,10,1,8,2,9,1,10,1,12,1,8,1,12,2,9,1,12,1,24,1,10,1,11,1,10,2,8,1,12,1,13,1,24,1,9,1,24,2,9,1,10,1,12,1,17,2,10,2,12,2,17,1,10,1,9,1,13,1,24,1,9,1,10,2,24,1,10,1,12,1,10,1,8,1,17,1,9,2,10,1,24,1,12,1,24,2,12,1,13,1,9,1,11,1,24,1,8,1,12,1,8,1,10,1,8,1,13,1,9,1,8,1,24,1,13,1,8,1,24,1,13,1,9,1,8,1,13,2,8,1,24,2,10,1,24,1,13,1,8,1,12,1,24,2,12,1,8,2,24,1,8,1,24,1,8,1,24,1,12,1,13,1,10,1,24,1,9,1,8,2,13,1,9,1,8,2,10,1,13,1,7,1,10,1,24,1,8,1,24,1,7,1,10,1,8,1,24,1,17,1,9,1,8,3,10,1,8,1,10,1,12,1,9,1,10,2,8,1,12,1,9,1,13,1,11,1,17,2,9,1,8,1,10,1,9,2,8,1,17,1,9,1,13,1,8,1,13,1,9,1,13,1,9,2,11,1,9,1,11,1,9,1,8,1,9,1,16,1,9,4,11,1,9,1,13,1,16,1,10,1,9,1,16,1,9,5,13,1,9,2,13,1,10,1,8,1,13,2,6,1,13,2,6,1,13,1,7,1,6,1,29,1,30,1,28,1,30,3,28,3,30,1,28,1,29,1,6,1,28,2,30,1,29,1,13,1,8,1,9,1,10,3,8,1,10,1,8,4,9,1,13,1,30,1,28,12,29,1,17,1,10,1,12,1,10,2,12,1,24,1,8,1,13,1,8,1,6,1,28,1,6,1,29,1,30,1,7,1,13,1,6,2,7,1,9,1,14,1,11,1,16,1,17,2,9,2,28,7,30,1,8,1,11,1,24,1,6,1,28,36,24,1,10,1,8,1,6,1,28,1,13,1,24,1,12,1,9,1,24,1,8,1,30,1,6,2,29,1,13,1,6,1,9,1,8,1,9,1,13,1,6,1,30,1,28,1,29,1,6,1,29,1,24,1,14,1,9,1,29,1,28,3,7,1,13,2,24,1,8,1,12,1,17,1,10,2,8,1,9,1,8,1,6,3,9,1,12,1,17,1,8,1,28,1,30,1,29,1,9,1,16,1,8,1,28,1,30,1,28,47,15,1,9,1,30,1,28,8,}, {28,13,30,1,29,1,28,4,29,1,28,1,6,1,29,1,6,1,30,1,28,8,6,1,8,2,6,1,7,1,13,1,6,1,13,1,8,1,13,1,7,1,24,1,9,2,17,4,11,1,15,1,13,2,30,1,28,7,30,1,29,1,8,1,13,1,29,1,28,5,6,1,8,1,7,3,6,1,30,1,28,9,12,1,10,1,9,1,13,1,28,44,30,1,28,4,24,2,13,1,30,1,28,3,6,1,13,2,6,1,28,1,6,1,7,1,29,1,6,1,30,1,13,1,7,1,29,1,28,7,30,1,7,1,6,2,30,2,28,4,24,1,17,1,24,1,8,1,6,2,7,1,6,4,7,1,13,1,8,1,24,1,8,2,13,5,30,1,28,12,29,1,28,19,30,1,28,3,6,1,29,1,30,1,13,1,8,1,13,1,28,1,30,1,28,3,24,1,12,1,10,2,24,1,8,1,13,1,9,1,13,4,30,1,6,3,29,2,6,1,13,1,8,1,6,1,8,1,7,1,8,1,12,1,9,1,11,1,9,1,11,1,17,1,15,1,6,2,28,128,30,1,28,1,30,1,28,19,30,1,13,1,9,1,11,6,16,1,11,1,16,2,11,1,9,1,11,2,9,2,11,3,10,1,16,1,11,1,16,1,11,2,9,2,10,2,9,1,11,1,10,1,9,1,16,2,9,1,11,1,8,1,10,1,9,2,8,1,11,1,13,1,8,2,13,1,8,1,13,1,9,2,13,1,8,1,9,2,13,1,9,2,8,1,13,1,9,1,13,1,7,1,8,1,13,1,6,3,29,1,6,1,29,1,6,1,30,1,6,2,29,2,30,1,28,1,30,1,28,1,30,1,28,2,29,1,28,8,29,1,30,1,29,1,6,1,28,1,29,1,30,1,28,53,6,1,11,1,9,1,12,1,16,2,10,2,8,1,11,1,13,4,7,1,13,2,29,1,8,1,6,1,30,1,28,3,30,1,28,1,30,1,28,4,30,1,28,21,29,2,13,1,9,1,6,1,28,26,30,1,28,7,13,1,9,1,13,1,28,4,6,1,13,1,28,1,13,1,30,1,28,10,13,2,9,3,13,2,11,1,9,2,13,1,30,3,13,1,28,1,30,1,28,1,13,1,9,1,13,4,28,7,30,1,9,4,6,1,13,2,9,2,11,1,13,1,9,4,13,5,29,1,13,3,7,1,13,7,9,2,13,1,9,3,13,1,9,1,13,1,11,1,9,1,13,1,11,1,9,2,13,1,9,2,13,2,7,1,17,3,11,1,10,1,17,1,9,1,11,2,9,4,16,1,9,2,11,5,9,8,11,1,16,1,9,1,11,1,16,1,13,1,16,1,13,1,17,1,16,2,11,1,16,1,11,4,9,1,11,1,10,1,8,1,9,2,13,7,8,2,13,7,6,1,13,1,6,1,10,1,11,1,8,2,13,3,7,1,9,1,13,2,29,1,13,2,8,1,13,3,8,1,13,2,6,2,13,1,7,1,6,1,30,1,13,1,30,1,6,1,30,1,9,1,8,1,9,1,13,1,10,1,13,1,16,1,6,1,9,7,6,1,9,1,13,5,6,1,9,1,13,2,9,1,10,1,9,1,13,1,9,1,13,1,11,1,9,1,11,1,9,1,11,1,16,1,10,1,9,1,16,1,9,2,29,1,28,6,30,1,6,1,13,1,6,1,8,1,13,2,6,2,29,1,13,1,6,1,30,2,28,3,6,1,7,2,9,1,13,2,6,3,30,1,13,1,6,2,13,1,30,2,13,1,8,1,7,1,30,1,13,2,6,1,28,29,30,1,28,1,30,3,13,2,7,1,13,2,7,1,13,5,9,2,6,1,9,1,13,1,7,1,13,1,30,1,8,1,13,3,6,1,13,4,6,2,13,2,30,1,13,2,7,1,6,1,13,4,8,2,13,4,6,1,13,1,6,1,13,1,6,1,8,1,13,6,6,1,7,1,6,1,13,1,6,1,13,1,6,1,7,1,13,3,8,2,6,1,30,1,9,2,13,1,6,5,13,1,6,1,13,1,7,1,30,1,6,1,13,2,30,1,13,1,6,2,13,1,7,1,6,1,7,1,30,1,6,3,7,2,6,1,13,1,6,3,7,1,6,1,13,2,6,4,13,2,6,2,13,2,6,2,13,2,6,1,7,1,6,7,13,1,6,2,13,1,6,1,13,3,6,1,13,2,6,1,13,1,6,2,30,1,13,4,29,1,8,1,13,1,7,2,13,1,6,1,30,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,7,1,13,1,6,2,13,3,6,1,13,1,7,1,13,6,6,2,13,3,30,1,7,1,30,1,6,2,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,2,13,2,9,1,13,1,6,4,29,1,6,1,28,1,30,1,28,31,30,1,28,1,30,1,28,7,13,1,28,1,30,3,6,2,13,1,6,2,30,1,6,1,13,1,6,3,13,2,9,1,13,1,8,1,13,5,7,1,6,1,7,1,6,2,13,1,7,1,6,1,13,6,6,2,30,1,13,4,7,1,13,8,6,1,13,1,30,1,13,3,6,1,13,3,7,1,13,1,6,1,7,1,6,1,13,1,30,1,7,1,13,3,6,1,13,1,6,2,13,3,6,1,13,5,6,1,13,1,6,2,13,2,6,1,13,1,7,1,13,7,6,1,13,2,6,3,13,1,6,1,13,2,6,1,13,4,7,1,13,2,6,1,7,1,13,3,6,1,13,1,6,2,7,1,13,1,6,1,13,1,30,1,6,4,13,2,30,1,13,1,30,1,6,3,13,1,6,2,13,1,7,1,13,1,6,3,13,1,6,5,13,1,6,1,13,1,7,1,6,1,13,9,9,1,13,4,6,1,13,1,7,5,13,1,6,1,30,1,7,1,6,1,13,1,6,3,13,1,6,4,30,1,13,1,6,1,28,1,6,1,9,1,17,2,11,1,12,2,24,1,12,1,24,1,13,2,7,1,8,2,6,1,10,1,12,1,24,1,9,1,10,1,9,3,17,1,28,2,13,2,28,1,9,1,11,1,12,2,9,1,17,1,9,1,10,1,8,1,12,1,24,2,13,1,24,1,8,1,13,1,7,1,13,1,7,1,8,2,13,1,6,2,29,1,28,1,29,2,13,1,8,1,13,1,8,1,24,1,6,1,8,1,13,1,6,1,13,1,8,1,24,1,8,1,7,1,24,2,13,1,24,5,10,1,12,2,17,1,12,1,8,1,12,2,17,1,12,2,17,1,12,1,17,1,12,1,10,1,12,1,17,2,12,1,17,2,12,1,10,1,17,4,24,1,12,1,8,1,12,1,24,1,17,1,8,1,24,1,10,1,12,2,9,1,10,1,12,1,24,1,17,1,24,1,12,1,8,1,10,1,12,1,10,2,12,1,10,1,8,2,9,1,12,1,17,2,9,1,12,1,10,1,8,1,12,2,10,1,17,1,9,1,8,1,10,1,12,1,9,1,17,1,12,3,17,1,12,2,17,3,12,2,17,8,6,1,13,2,6,3,13,1,29,1,30,2,13,1,30,1,6,1,28,1,29,2,6,6,7,1,6,1,13,2,29,1,6,2,30,1,6,1,28,1,6,1,7,1,30,1,6,4,30,1,6,1,30,2,6,1,30,1,28,1,30,4,29,1,30,3,6,2,30,1,6,3,30,1,29,1,30,2,6,1,30,2,6,1,28,1,6,5,30,1,6,1,30,1,13,1,12,1,28,3,30,1,28,1,30,2,29,1,30,1,6,1,30,1,29,1,6,1,28,1,6,2,7,1,8,1,29,1,13,1,6,1,29,2,28,2,6,1,28,1,30,1,28,2,27,2,30,2,28,1,30,1,29,2,30,1,29,1,28,1,7,1,30,3,8,1,29,1,25,1,6,1,25,1,10,1,25,1,24,1,10,1,24,1,17,1,8,1,17,1,12,1,24,2,12,2,10,1,12,1,8,2,7,1,8,4,24,1,8,1,7,1,9,1,8,1,12,1,10,1,9,1,17,2,12,1,10,1,12,1,17,2,12,3,10,1,9,1,6,1,28,2,6,1,7,1,6,1,29,2,30,2,28,1,30,2,28,1,6,1,30,1,29,2,30,1,29,1,28,2,29,1,6,1,30,1,28,1,30,1,29,2,30,1,29,1,6,1,30,1,25,1,29,1,25,1,6,1,8,1,6,1,25,1,7,1,25,1,8,2,24,1,25,1,24,2,8,3,7,1,13,2,8,1,25,1,7,1,24,1,25,1,8,1,24,1,8,2,25,2,24,1,8,2,24,3,10,1,24,2,10,1,24,2,10,1,12,1,9,1,10,1,24,1,12,6,17,1,11,1,17,1,11,1,17,2,12,2,17,2,12,1,11,1,30,1,28,2,30,6,28,1,6,1,30,1,6,1,30,2,6,2,30,1,6,4,28,4,9,1,11,1,17,1,11,1,17,4,12,2,17,1,12,1,17,1,11,1,17,2,12,3,9,1,10,1,12,1,11,1,12,1,17,2,10,1,9,2,24,1,13,1,17,1,8,1,9,1,10,1,12,1,24,1,8,1,24,1,12,1,10,1,8,1,13,1,12,2,13,1,9,1,24,2,8,1,13,1,9,1,24,1,9,1,10,2,9,1,12,1,17,1,8,1,9,2,8,1,12,1,13,1,12,1,10,1,24,2,9,1,24,1,10,1,12,1,8,1,10,1,17,1,10,2,9,2,8,2,9,2,8,1,24,2,8,1,13,1,17,1,24,1,6,1,24,1,8,1,12,1,8,1,13,1,24,3,8,1,24,1,8,2,12,1,7,1,8,2,7,1,24,1,8,1,24,1,10,1,8,1,29,1,17,1,8,1,10,1,13,1,8,1,12,1,24,1,8,1,10,2,8,1,9,1,7,1,10,1,8,1,9,1,8,1,24,2,8,1,10,1,12,1,24,2,12,1,10,1,9,1,13,1,12,1,10,1,9,1,10,2,12,1,9,1,17,1,24,1,17,1,9,1,17,1,12,2,11,1,8,1,9,1,11,1,9,4,13,1,10,1,9,3,11,1,16,1,11,1,9,1,16,1,9,1,16,1,17,1,11,2,9,1,10,1,9,1,16,1,11,1,9,2,16,1,9,1,16,1,11,1,16,1,11,1,9,1,16,1,9,2,11,1,16,1,11,2,9,1,11,1,8,2,13,1,6,2,7,1,6,1,7,1,30,1,6,2,28,4,29,1,28,12,30,1,9,1,10,1,12,2,10,1,9,1,24,1,8,1,13,1,8,1,7,1,28,13,6,1,12,1,17,1,9,3,8,2,9,1,8,1,13,1,6,1,7,2,6,1,29,1,6,1,13,1,8,1,13,2,9,1,8,1,9,1,11,1,9,1,12,1,10,1,8,1,6,1,28,6,6,1,13,1,10,1,8,1,29,1,28,36,9,2,29,2,6,2,9,1,15,1,10,2,13,1,6,1,29,1,6,1,7,1,13,1,7,1,24,1,9,1,10,1,12,1,7,1,28,2,30,1,28,1,6,1,9,1,17,1,9,1,28,1,30,1,28,2,30,1,6,1,24,1,8,2,10,1,12,1,11,1,12,1,8,1,13,2,6,1,30,1,6,1,8,1,17,1,10,1,9,1,28,2,6,1,9,1,24,1,10,1,6,1,28,46,30,1,8,1,9,1,8,1,7,1,28,8,}, {28,13,6,1,28,3,30,1,28,1,30,1,6,1,29,1,30,1,28,7,30,2,13,1,10,1,8,1,29,2,30,1,24,1,13,1,24,1,8,1,13,1,8,1,13,1,9,1,17,5,16,1,9,2,29,1,30,1,28,8,30,1,24,1,30,1,29,1,28,5,30,1,8,1,7,1,13,2,30,1,28,9,6,2,12,1,17,1,29,1,28,39,30,1,28,8,7,2,9,1,6,1,28,4,6,1,8,2,7,1,29,1,7,1,29,1,6,1,29,1,30,1,7,1,29,1,30,2,28,7,6,1,13,1,30,1,6,1,28,1,30,1,28,3,10,1,11,1,9,2,13,1,29,3,13,1,7,1,24,1,6,1,8,2,13,1,24,1,7,1,13,2,29,1,6,1,8,1,6,1,28,35,6,1,30,2,29,1,7,1,8,1,24,1,29,1,28,4,8,1,24,2,9,3,13,1,8,2,7,1,8,1,6,6,29,1,6,1,30,1,13,1,8,2,13,2,9,1,10,2,24,1,17,2,12,1,8,1,30,1,28,131,30,1,28,11,30,2,28,4,6,1,9,1,16,1,11,2,9,1,11,1,16,1,11,2,16,1,11,4,16,1,9,1,11,1,16,1,11,1,16,1,11,1,10,2,11,1,10,1,9,1,10,1,11,5,9,2,11,3,9,1,10,1,11,1,9,1,8,2,9,2,13,3,9,2,11,1,9,1,8,2,9,1,13,1,9,1,8,2,13,1,8,1,13,3,8,1,13,1,6,1,13,1,29,1,6,1,28,1,30,2,28,1,30,1,28,2,29,1,30,1,28,1,30,1,28,1,30,2,28,2,30,3,28,1,6,1,30,1,28,1,30,1,29,2,6,1,30,1,6,1,30,1,6,1,30,1,28,53,30,1,8,1,17,1,12,1,17,1,11,4,9,1,13,1,9,1,8,1,6,1,8,1,7,1,8,1,6,1,24,1,29,1,6,2,7,1,30,1,28,2,30,1,28,28,9,3,28,29,6,1,28,12,30,1,13,1,30,1,13,1,28,1,30,1,28,9,6,1,13,3,9,2,11,1,9,4,13,1,30,1,9,1,28,4,13,1,9,1,13,1,9,1,13,2,28,8,13,1,9,3,13,2,30,1,13,1,9,5,13,2,9,2,30,1,6,5,28,1,6,1,7,1,13,1,8,1,13,4,8,1,13,1,9,1,13,1,11,1,9,1,11,1,13,1,9,1,8,1,13,1,9,1,11,1,9,4,30,1,9,1,13,1,9,1,17,2,16,1,11,1,9,1,16,1,9,5,16,1,9,1,11,2,9,2,17,1,9,1,17,1,11,1,9,1,11,1,9,1,13,1,11,1,9,3,10,1,9,1,10,1,16,1,11,2,16,2,17,1,16,1,9,3,8,1,11,1,16,2,11,1,9,3,13,2,6,1,13,3,6,1,13,7,8,2,13,1,9,1,13,2,8,1,11,1,16,1,13,2,7,1,6,1,13,2,6,1,13,2,6,1,13,7,29,1,9,1,28,1,30,1,6,1,13,3,6,2,13,1,9,1,13,1,9,3,13,2,10,1,13,1,9,1,13,2,9,1,6,1,9,2,13,1,8,1,13,3,6,1,13,2,6,1,13,2,9,1,13,2,10,1,9,4,16,1,17,1,11,1,9,1,16,3,8,1,28,4,13,1,9,2,13,2,6,1,30,1,13,1,9,2,8,1,30,1,28,2,13,1,9,1,6,1,13,1,28,3,6,1,30,1,13,1,6,1,30,2,28,2,30,2,28,17,30,1,28,3,30,1,6,1,30,2,6,1,30,2,6,2,8,1,13,2,6,1,13,3,8,1,9,2,13,1,9,3,13,1,9,2,13,4,8,1,13,2,8,1,13,4,7,1,13,9,6,2,13,1,6,1,13,1,6,1,13,17,6,1,13,3,7,1,6,1,13,1,7,2,13,1,6,2,13,2,29,1,6,1,7,2,13,1,6,1,13,2,7,1,6,1,13,2,9,1,13,3,16,1,30,1,6,1,7,1,29,1,6,1,13,1,6,3,13,2,6,2,13,2,6,1,13,1,6,1,13,1,7,1,6,1,13,1,30,1,6,1,29,1,6,1,13,1,30,1,6,1,13,1,6,1,30,1,6,2,30,1,6,1,13,3,28,1,6,1,30,2,6,3,13,1,6,3,30,1,6,1,30,2,29,1,6,2,30,1,6,1,7,1,6,2,13,1,6,1,13,1,6,1,13,3,6,1,29,1,6,1,13,2,30,1,6,1,13,1,6,2,7,2,13,1,30,1,13,2,6,1,13,1,30,1,8,1,29,1,6,1,13,4,6,1,13,3,7,1,13,1,6,1,13,4,7,1,6,1,13,2,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,3,30,1,13,2,30,1,7,1,13,1,6,3,13,1,6,2,13,1,6,1,13,3,6,1,13,4,8,1,13,1,30,1,6,1,30,1,13,1,30,1,13,2,30,1,29,2,30,1,6,2,29,1,30,1,28,38,30,1,28,2,30,1,28,3,30,1,13,1,30,1,28,1,30,3,28,3,13,1,6,1,13,2,6,1,7,1,6,2,28,1,6,1,13,1,6,3,13,1,7,1,13,3,6,1,13,5,7,1,13,1,6,4,30,2,7,1,6,1,13,1,7,1,13,1,6,1,13,1,30,1,6,1,30,1,13,3,6,2,29,1,13,1,28,1,13,1,6,1,13,1,6,2,7,1,6,2,7,1,6,4,13,2,6,3,13,1,29,2,13,3,6,1,13,1,7,1,13,2,6,1,13,1,6,1,13,11,6,2,13,1,6,2,30,1,6,4,13,1,6,1,7,1,13,1,7,1,6,1,13,1,6,2,13,2,6,3,13,1,30,1,13,1,6,2,7,1,13,2,7,1,6,1,13,1,7,1,13,1,6,2,7,1,6,1,13,2,6,2,7,2,13,3,6,1,13,1,7,1,13,2,7,1,13,1,7,1,13,1,6,1,13,2,7,1,13,2,7,1,13,1,6,1,13,1,6,2,13,2,6,1,7,1,29,1,13,1,7,1,30,3,7,1,28,1,17,4,12,2,24,2,8,1,13,1,29,1,28,3,13,1,10,1,8,3,24,2,12,2,9,1,17,1,28,2,13,1,10,1,28,1,13,1,17,1,12,1,10,1,12,3,17,1,24,2,9,1,24,1,13,1,7,1,13,1,8,1,6,2,7,1,6,1,7,2,13,1,8,1,13,1,8,1,24,1,12,1,10,1,12,3,10,1,13,1,24,1,12,1,7,1,13,1,8,2,13,1,8,1,7,1,8,1,24,1,8,1,10,1,8,1,17,1,12,3,8,1,17,1,9,2,10,1,17,1,12,1,9,1,17,1,12,1,24,1,12,1,17,1,12,2,10,1,17,2,10,1,12,1,10,1,17,3,12,3,17,1,10,2,24,1,10,1,24,1,8,1,24,1,17,1,12,1,10,1,12,1,8,2,12,1,10,1,12,1,9,1,13,1,9,2,12,1,10,1,24,1,10,1,24,1,10,1,12,1,24,3,17,1,24,2,12,2,10,1,17,1,9,1,17,2,12,3,11,1,10,1,17,4,12,2,17,2,12,1,17,3,12,1,17,4,30,1,13,1,6,2,29,1,28,1,6,6,30,1,6,3,29,1,6,1,7,1,13,1,6,1,30,1,29,1,6,1,30,1,13,1,29,1,30,2,6,1,30,1,6,1,29,1,6,1,30,6,6,2,30,2,29,1,6,1,30,2,6,2,30,1,13,1,30,2,6,2,30,1,6,2,30,2,6,2,30,1,6,2,29,1,6,3,29,2,6,1,13,2,6,1,30,1,13,1,8,1,28,1,29,1,28,4,7,1,30,1,29,1,7,1,29,1,28,1,29,2,30,1,6,1,7,2,13,1,29,1,24,1,7,1,28,1,13,1,30,1,28,1,29,1,30,2,27,1,28,2,30,1,28,1,29,1,28,2,30,1,29,1,6,1,30,1,28,1,25,1,26,1,25,1,26,1,25,3,8,2,10,1,24,1,13,1,8,1,24,2,8,1,24,3,10,2,9,2,13,1,8,1,6,1,10,1,7,1,24,1,8,1,24,2,12,1,24,1,10,1,9,1,10,1,12,1,17,4,11,1,17,1,10,1,9,1,11,1,8,1,11,1,13,5,8,1,6,1,28,1,30,1,29,2,30,1,6,1,30,1,28,1,30,1,28,1,29,1,30,3,28,3,29,2,28,1,29,1,28,1,29,1,28,1,29,1,28,1,6,1,25,1,6,1,29,1,25,1,8,1,7,1,8,1,7,1,26,1,24,1,6,1,24,2,8,8,7,2,8,1,6,1,25,1,6,1,25,1,29,1,24,2,29,1,12,1,24,2,8,1,13,1,9,1,7,1,24,1,8,2,10,1,24,1,10,1,8,1,9,1,12,3,17,1,12,1,10,1,17,2,12,2,17,2,10,1,17,1,12,1,17,1,11,2,12,1,17,1,13,1,28,2,7,1,30,2,28,1,30,1,28,1,30,1,6,2,30,1,28,1,30,3,6,1,30,1,29,1,28,4,29,1,13,1,10,1,17,1,10,1,12,2,17,2,12,3,17,2,10,1,17,1,9,2,12,1,10,2,12,1,8,1,12,1,17,2,24,1,10,1,24,3,8,1,9,1,10,1,24,2,8,1,9,2,8,1,24,2,8,1,10,1,9,1,10,1,24,1,13,1,8,1,13,1,10,1,24,1,10,1,8,1,10,1,24,1,10,2,13,1,24,1,9,1,10,1,8,1,10,1,24,1,10,1,9,1,10,1,12,1,9,1,8,1,12,1,9,1,13,1,10,1,8,1,17,1,10,1,8,1,10,1,8,1,24,1,12,1,24,2,8,1,24,2,10,1,24,2,8,1,9,1,24,1,10,1,13,2,24,2,10,1,24,2,9,1,10,1,24,2,8,1,24,2,13,1,24,1,13,1,24,6,7,1,10,2,8,1,24,1,8,2,12,1,8,1,12,1,8,2,10,1,8,1,24,1,12,1,13,1,8,2,13,2,10,1,9,2,24,1,17,1,12,2,9,1,11,1,12,1,17,1,11,1,12,1,17,1,9,1,12,1,17,1,9,1,11,1,13,1,9,1,13,1,7,1,13,2,9,1,11,1,16,1,9,1,10,1,16,1,11,1,9,1,16,1,8,1,9,1,16,2,11,2,16,1,17,1,9,1,10,1,17,1,11,1,9,1,16,1,11,1,9,3,10,1,9,1,16,1,11,1,9,1,16,1,9,1,16,1,9,3,11,1,9,1,11,1,9,1,13,6,30,2,6,1,28,3,30,1,28,15,6,1,29,1,10,1,17,1,11,1,9,2,8,1,9,1,7,1,13,1,28,13,6,1,16,1,10,1,17,1,9,2,8,1,24,1,13,1,24,2,6,1,13,1,29,1,6,1,13,1,6,1,13,1,8,2,6,1,9,1,8,1,11,1,16,1,17,1,12,1,17,1,8,1,28,7,30,1,8,1,16,1,8,1,7,1,28,36,24,1,9,1,8,1,29,1,30,1,13,1,9,1,17,1,9,1,24,1,9,1,7,1,29,1,6,1,7,1,6,1,9,1,11,1,9,3,13,1,29,1,28,1,30,2,28,1,9,1,17,1,9,1,29,1,28,3,29,1,6,1,13,1,8,1,9,1,15,1,9,1,12,2,16,1,8,2,6,1,13,2,8,1,17,1,9,2,30,1,28,1,29,1,16,1,11,1,13,1,6,1,28,47,13,1,8,1,24,1,6,1,28,8,}, {28,16,30,2,28,1,6,2,29,1,28,6,30,3,13,1,7,1,28,3,29,1,6,1,13,2,24,1,13,1,7,1,13,2,11,2,17,5,14,1,9,1,30,1,28,9,30,1,13,1,8,1,6,1,28,5,29,1,6,1,8,1,29,1,28,3,30,1,28,8,13,1,12,2,29,1,28,48,29,1,13,1,9,1,6,1,28,4,7,1,8,1,9,1,8,1,30,1,6,1,30,2,6,1,30,2,6,2,29,1,28,6,29,2,24,1,30,1,13,1,28,5,13,1,10,1,17,1,10,1,8,1,6,2,7,1,6,2,13,1,8,2,10,1,8,1,24,1,8,1,13,2,7,1,6,1,10,1,7,1,28,36,29,1,28,1,29,1,7,1,24,1,8,1,29,1,28,4,8,1,15,1,10,1,9,1,8,2,29,1,24,1,8,1,13,1,8,1,6,2,7,2,30,1,13,1,6,1,30,1,6,1,8,2,13,2,8,2,24,1,17,2,10,1,17,2,24,1,29,1,28,129,30,1,28,17,6,2,13,1,11,1,16,5,11,2,16,1,11,1,16,1,11,1,16,1,11,4,10,2,11,3,16,1,11,1,16,1,11,2,16,1,11,1,10,1,16,1,11,1,17,1,11,1,9,2,11,1,9,6,8,3,9,2,8,1,13,2,8,3,13,3,9,1,13,1,8,1,13,3,6,1,13,1,6,1,13,1,30,1,28,1,30,2,28,4,30,1,28,3,30,1,28,2,30,1,6,1,13,1,28,1,6,1,30,1,28,1,6,1,30,2,6,1,29,1,30,1,29,1,30,1,6,2,28,56,9,1,11,1,9,2,11,3,9,1,13,1,8,3,13,1,7,1,8,1,13,1,6,1,13,1,8,1,6,2,30,1,6,3,28,31,11,1,28,29,30,2,28,12,6,1,13,1,30,1,13,1,28,1,30,1,28,9,30,1,6,1,9,3,13,1,9,2,13,1,11,1,13,1,6,1,13,1,8,1,30,1,28,3,6,1,9,1,13,3,9,1,30,1,28,7,30,1,13,1,9,3,13,1,30,1,13,1,9,1,13,1,9,1,11,1,9,1,13,2,8,1,30,1,13,1,6,1,13,3,30,1,13,1,6,2,13,2,9,1,13,3,8,1,9,3,8,1,9,6,13,2,8,1,13,2,9,1,13,1,9,1,13,1,9,1,17,3,11,2,9,1,10,1,11,1,16,1,9,1,16,2,9,1,16,1,11,1,16,1,9,1,16,2,13,1,9,2,13,1,8,2,9,1,11,2,16,1,11,1,17,1,13,1,11,1,9,1,11,1,16,2,11,1,16,1,9,2,11,1,9,1,8,1,17,1,9,1,16,1,13,6,9,1,13,1,6,1,9,1,6,1,8,1,13,1,9,2,13,5,9,1,13,1,9,2,10,1,9,1,8,1,6,1,9,1,30,1,13,2,6,1,30,1,13,1,6,1,11,1,13,3,8,1,13,2,6,1,7,1,6,2,7,1,13,4,9,1,13,1,9,4,13,2,9,1,8,1,13,1,9,1,6,2,9,2,8,1,13,5,9,1,6,1,8,1,13,4,9,5,11,1,9,1,16,1,11,2,10,1,16,1,9,1,8,1,6,1,28,5,30,2,28,1,30,1,28,4,30,1,13,1,6,1,28,22,6,1,30,1,13,3,6,1,7,1,6,1,13,1,6,1,9,1,13,3,6,1,13,2,9,2,13,2,8,1,9,1,13,1,9,1,13,3,7,1,13,3,6,1,13,8,8,1,13,1,6,1,13,2,7,1,13,1,6,1,29,1,7,1,13,3,6,1,13,2,6,1,13,1,6,1,13,2,7,1,13,2,6,1,13,2,6,2,13,1,6,1,13,1,7,1,13,4,6,1,13,1,6,1,13,2,6,1,13,4,7,1,13,2,6,1,13,1,6,2,7,1,13,3,7,1,13,4,30,1,9,1,6,1,7,1,6,1,7,1,30,1,6,2,13,2,6,1,8,1,6,2,9,1,11,1,6,1,7,1,6,4,7,1,6,1,30,1,6,3,7,1,13,1,7,1,6,1,30,2,13,1,6,1,30,1,6,1,13,1,30,2,6,3,30,1,6,3,28,1,6,1,7,1,6,1,30,1,13,2,6,2,13,1,30,1,6,1,7,1,30,1,28,1,30,1,6,1,7,1,30,1,6,2,30,5,29,1,30,2,6,1,13,1,30,1,13,1,6,1,13,1,30,1,6,1,13,3,6,1,13,1,7,1,6,1,29,1,13,1,6,1,8,1,13,2,7,1,13,1,6,2,13,1,6,2,13,1,6,2,13,1,6,1,13,7,6,1,13,3,30,1,13,1,7,1,13,2,6,1,13,1,6,2,13,1,6,1,30,1,6,1,13,1,6,2,13,1,30,1,13,1,30,1,13,1,6,6,30,1,29,1,7,1,13,1,6,1,7,1,6,1,7,1,13,1,7,1,13,1,6,4,13,2,8,1,13,1,9,1,8,1,13,1,6,1,13,9,6,1,13,4,7,1,13,2,9,3,7,2,30,2,6,1,30,2,28,1,30,1,28,6,30,1,28,5,30,1,28,56,13,2,28,5,30,1,13,2,30,6,6,1,30,2,6,1,29,1,7,1,6,1,28,2,30,2,6,1,30,1,28,1,6,1,28,1,6,1,30,1,9,1,16,1,8,1,6,1,8,1,13,2,6,1,30,1,6,4,13,1,29,1,6,7,13,1,6,3,30,1,7,1,6,3,7,1,6,2,13,1,6,1,13,1,6,3,13,1,29,1,13,1,29,1,6,6,13,1,6,1,13,1,6,1,30,1,6,2,13,1,6,1,7,1,6,1,29,1,13,3,6,1,13,5,7,1,13,4,6,1,13,1,9,1,6,1,13,2,6,2,13,3,6,2,13,2,30,1,13,1,6,6,13,1,6,1,13,1,6,2,30,1,12,1,11,1,12,1,11,1,12,1,8,1,10,1,8,1,7,1,6,1,13,1,30,1,28,4,30,1,7,1,8,1,24,4,13,1,8,1,13,1,9,1,28,3,17,1,28,1,7,1,17,1,12,2,17,1,24,2,12,1,10,1,8,2,13,1,8,1,13,1,8,1,7,1,6,1,25,1,6,1,8,1,25,1,7,1,8,1,13,1,24,1,10,1,24,1,9,1,12,7,8,4,13,1,8,3,24,2,9,1,24,1,12,1,10,1,9,1,24,1,9,1,12,2,10,1,12,1,17,1,12,2,10,1,17,1,12,1,10,1,17,2,12,2,17,1,12,1,17,1,12,2,17,1,12,3,24,1,10,1,12,2,8,1,24,1,17,1,24,1,17,2,12,2,24,1,12,2,24,1,9,1,24,1,12,2,8,1,12,2,8,1,24,1,10,1,12,1,17,1,9,1,8,1,9,1,10,1,12,1,24,1,17,1,12,1,8,1,12,2,17,1,12,2,10,1,9,1,11,1,10,1,17,1,12,1,17,2,11,1,17,3,10,1,17,1,12,1,17,3,12,1,17,1,12,1,17,3,6,1,13,1,6,1,13,1,6,2,30,1,6,1,29,1,30,1,6,1,29,1,30,1,6,6,13,1,6,2,30,1,29,1,6,2,30,1,6,4,28,1,30,2,28,1,30,1,6,1,30,1,6,1,30,1,28,1,29,1,6,1,30,2,28,1,30,1,6,1,30,3,6,6,7,1,6,1,30,2,29,1,30,1,6,1,28,1,6,2,30,1,6,1,29,1,6,4,30,1,6,1,30,2,28,7,29,3,30,2,28,1,29,1,28,1,7,1,6,1,30,1,7,1,6,1,7,1,6,1,29,1,6,1,28,1,29,1,28,1,30,4,28,1,29,1,28,1,29,1,30,1,28,1,30,1,28,3,6,1,30,1,29,1,7,1,29,1,8,1,26,1,7,1,24,1,25,1,24,1,8,1,24,1,10,1,24,1,12,1,8,1,24,1,12,1,9,1,10,1,13,1,24,1,12,1,9,1,8,2,13,1,24,1,8,1,24,1,30,1,8,1,24,2,10,1,9,1,12,1,17,1,12,3,17,2,12,2,11,1,8,1,9,1,13,1,8,1,13,4,6,1,9,2,28,3,29,1,28,1,6,1,30,1,29,2,28,1,30,2,29,1,30,1,29,1,30,1,29,1,28,1,29,1,6,1,30,2,28,1,30,1,29,1,30,1,6,2,30,2,6,2,24,1,29,1,8,3,25,1,6,1,24,1,6,1,10,1,12,1,24,1,8,1,24,1,13,1,24,1,13,1,24,1,8,1,13,1,7,1,8,5,24,1,25,1,7,1,25,1,24,1,8,2,24,1,8,1,24,1,8,1,12,1,13,1,24,1,10,1,24,2,12,2,8,1,17,1,12,2,17,2,12,1,17,3,12,1,17,2,12,1,11,1,17,1,9,2,13,1,30,2,6,2,13,2,6,1,30,2,28,1,30,3,6,1,28,8,13,1,16,1,17,1,11,1,17,2,10,1,17,2,12,4,9,1,12,1,17,1,12,1,11,2,17,1,10,1,9,1,8,1,10,1,12,1,9,1,11,1,9,1,17,1,13,1,9,1,8,1,24,1,8,1,12,1,10,1,9,1,17,1,10,1,24,2,9,1,10,1,24,1,10,1,24,1,13,2,10,1,13,1,8,1,10,1,8,2,12,1,24,1,8,1,17,1,24,1,13,1,17,1,24,1,12,1,24,1,10,1,12,2,9,1,8,1,10,1,12,1,24,1,10,1,24,1,9,1,24,1,13,1,12,1,24,1,12,1,9,1,24,2,9,1,10,2,12,1,8,1,10,1,8,1,9,1,13,1,24,2,13,1,24,1,8,1,13,1,8,1,24,2,8,1,24,2,13,1,8,1,24,1,12,1,13,1,24,3,10,1,8,1,10,1,6,1,24,2,12,1,10,1,12,1,24,1,10,1,7,1,24,1,10,1,8,1,13,1,8,1,9,1,13,1,24,1,10,1,8,2,12,1,24,1,12,1,8,1,24,1,10,1,24,1,12,1,10,1,12,1,11,1,9,1,10,2,17,1,12,1,11,1,8,1,9,3,13,3,9,2,8,1,13,1,16,2,9,1,17,2,9,1,11,1,9,1,11,1,9,1,11,1,17,1,11,1,17,1,16,3,17,1,9,1,11,1,9,5,8,2,13,1,11,1,9,1,16,3,9,2,11,2,16,1,9,1,8,1,9,2,13,1,8,1,9,1,13,1,6,1,28,2,30,1,28,1,30,1,29,1,28,3,30,1,28,17,9,1,17,1,10,1,9,1,10,1,13,3,28,10,30,1,28,2,7,1,10,1,17,1,12,1,24,1,9,1,11,1,24,3,8,3,13,2,6,1,13,1,8,1,13,2,8,1,9,1,10,1,16,1,10,1,11,1,10,2,8,1,28,8,9,1,11,1,24,1,6,1,28,35,29,1,24,1,9,2,30,1,29,1,13,1,24,1,15,1,12,1,24,1,8,1,29,1,30,1,6,2,8,1,9,1,10,1,11,1,17,1,11,1,13,1,29,1,28,1,30,1,28,1,6,1,24,1,11,1,9,1,30,1,28,3,30,1,6,1,28,1,12,1,24,1,9,1,17,3,24,1,8,1,6,1,28,2,6,1,13,1,17,1,10,1,7,1,28,2,6,1,12,1,16,1,13,1,6,1,30,2,28,44,6,2,14,1,9,1,29,1,28,1,30,1,28,6,}, {28,11,6,1,28,4,29,1,28,1,13,1,29,1,28,7,13,2,7,1,6,1,7,1,13,2,7,1,6,1,7,1,6,1,7,1,8,2,6,1,13,3,8,1,11,1,17,5,11,1,13,1,6,1,28,9,29,1,6,1,13,1,7,1,28,5,29,1,8,1,7,2,29,1,6,1,30,1,28,1,6,1,28,7,13,1,12,1,17,1,29,1,28,49,6,2,13,1,28,4,7,1,13,1,24,1,29,2,28,1,30,1,6,1,29,1,28,1,13,1,29,1,6,1,29,1,28,8,8,1,6,1,30,2,28,4,13,1,17,1,9,1,24,1,13,1,6,1,13,1,7,1,8,1,9,1,24,1,8,2,9,1,8,1,13,1,24,1,13,1,6,3,29,1,28,33,29,1,30,1,28,1,30,1,28,1,30,1,6,1,24,1,14,1,7,1,29,1,28,4,7,1,9,1,8,1,9,1,8,1,9,1,30,1,24,1,6,1,24,1,9,1,29,1,6,2,13,1,6,2,30,1,29,1,13,1,6,1,13,1,29,1,7,1,24,1,10,1,17,1,15,1,11,1,17,3,8,1,30,1,28,136,30,1,28,10,6,1,9,1,11,1,16,3,9,1,11,3,16,3,11,1,16,2,11,2,9,1,11,1,9,1,11,2,9,1,11,1,16,1,11,1,9,1,11,2,16,1,11,2,10,1,11,4,9,5,10,1,8,1,9,1,8,1,13,1,10,1,13,1,8,1,9,2,8,1,9,1,8,1,9,1,13,2,8,2,13,1,8,1,13,1,7,1,13,1,6,2,13,1,28,1,30,1,28,13,30,1,6,1,30,1,13,1,6,2,7,1,6,1,7,1,6,1,29,2,30,1,6,1,30,1,6,2,28,56,10,1,11,3,16,1,11,1,17,1,9,3,13,2,8,1,13,6,6,1,30,1,6,1,30,2,28,2,29,1,28,28,30,1,13,1,17,1,28,31,6,1,28,10,30,1,6,3,13,1,30,1,28,10,13,2,8,1,9,3,13,1,9,2,13,1,6,1,30,1,6,1,8,1,6,1,28,3,30,1,13,1,9,1,13,3,6,1,28,8,13,1,11,1,13,1,16,1,9,1,13,1,6,1,13,1,9,2,13,2,9,1,13,2,8,1,13,3,28,1,30,1,28,1,29,1,13,1,7,1,13,2,6,1,13,3,9,1,13,2,9,3,13,1,9,1,13,1,9,1,11,1,10,1,8,1,11,1,9,1,10,1,9,1,8,1,9,1,13,1,16,1,17,3,8,1,16,3,11,1,16,3,9,1,17,1,10,1,11,1,16,1,11,1,10,1,9,3,11,1,9,2,11,1,16,1,9,1,16,1,13,1,11,2,16,3,17,1,11,1,16,1,9,2,11,1,10,1,9,1,16,2,9,2,8,1,13,2,9,1,13,3,6,2,13,2,6,1,8,1,13,9,9,2,11,2,13,2,8,1,9,1,13,4,30,1,6,1,13,4,9,1,6,1,13,1,6,2,7,1,13,3,8,1,13,1,8,2,9,2,13,1,9,1,13,2,6,2,9,1,6,2,13,2,9,1,13,1,10,1,13,1,9,3,13,1,8,1,13,1,6,1,9,1,6,1,13,2,6,1,9,1,16,1,13,1,11,1,9,1,11,1,9,1,17,1,16,1,10,1,17,1,9,1,30,1,28,8,30,1,28,4,30,1,28,10,6,1,13,2,6,1,9,1,13,1,9,2,7,1,13,5,7,1,13,3,6,1,13,16,6,1,8,1,13,1,7,1,13,4,6,2,13,1,30,1,6,1,13,1,7,1,30,1,13,1,6,1,13,2,6,1,13,6,6,1,13,2,8,1,6,1,13,5,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,6,4,13,1,6,1,13,2,7,1,13,1,6,2,13,1,7,1,6,1,13,1,6,2,13,1,8,1,13,2,30,1,6,2,13,1,6,1,13,12,6,2,13,1,6,2,13,2,29,2,6,2,7,1,13,1,6,1,9,2,6,3,13,1,7,1,6,2,13,1,6,5,13,1,30,1,13,1,6,2,13,1,29,1,6,1,29,1,6,1,13,1,6,7,30,1,6,1,29,1,6,2,13,1,6,1,13,1,6,1,30,1,6,1,29,1,6,1,30,1,13,1,6,4,30,1,6,2,30,2,6,1,30,1,6,3,13,1,6,1,7,1,6,1,13,1,30,1,6,1,13,1,6,4,7,1,6,1,13,1,30,1,7,2,6,1,13,1,7,1,6,1,13,1,6,1,13,1,30,1,6,1,7,1,13,1,6,1,7,1,6,1,13,3,6,2,13,2,7,1,13,1,8,1,7,1,13,2,6,1,13,1,7,1,13,2,6,2,13,1,30,2,6,4,13,1,6,4,7,1,6,4,13,1,6,1,29,1,13,1,6,7,13,1,6,3,13,2,6,1,13,1,6,1,7,1,6,1,13,9,6,1,13,5,6,1,13,2,6,1,13,3,8,1,6,2,7,1,6,4,13,1,30,1,7,1,6,1,13,2,7,2,13,1,6,2,13,1,6,4,30,1,6,1,30,2,29,1,6,2,30,2,6,1,28,1,6,1,28,1,30,2,28,3,30,1,28,1,6,1,30,2,6,1,28,18,30,1,28,3,30,1,6,5,13,6,30,1,28,5,6,1,30,1,28,2,30,1,28,2,30,2,28,2,30,1,28,6,6,1,28,2,30,1,28,4,30,1,28,9,30,1,6,1,30,2,28,1,30,2,6,1,29,1,30,2,6,2,28,2,30,2,28,3,30,2,13,1,6,1,30,1,6,4,29,1,28,1,6,2,28,1,30,2,6,1,30,1,28,1,30,1,6,1,28,1,30,1,6,1,13,1,30,1,28,1,30,1,6,1,30,1,28,1,13,1,30,1,6,1,30,1,29,1,6,1,13,3,8,1,6,1,13,2,6,1,7,1,13,1,7,1,13,1,6,1,7,1,6,1,13,1,6,1,13,3,6,1,13,1,7,1,6,2,7,1,13,3,6,1,13,2,7,1,13,1,6,3,7,1,17,1,11,1,12,1,24,1,8,1,24,1,8,1,7,1,6,1,28,10,30,4,29,1,6,1,9,2,28,3,17,1,28,1,29,1,12,1,11,1,10,1,12,1,24,1,9,1,8,2,10,1,7,1,13,1,8,1,7,2,25,1,8,2,25,1,6,1,25,1,6,1,13,1,8,1,7,1,8,1,24,1,9,2,12,2,9,1,12,3,24,1,10,1,24,2,8,1,12,1,24,1,9,1,24,1,10,1,24,1,12,1,10,1,12,1,10,2,12,2,9,1,12,2,10,1,17,1,12,3,10,1,12,1,10,1,12,1,10,1,17,1,12,5,10,2,17,1,10,2,24,1,10,1,24,1,17,1,12,1,24,1,9,1,8,1,24,1,10,1,17,1,12,2,24,3,17,1,12,1,10,1,9,1,12,1,24,1,12,1,24,1,9,1,24,1,12,1,10,1,12,2,10,1,12,1,24,1,12,2,17,2,12,2,9,1,10,1,17,1,9,2,17,1,10,1,12,1,17,2,12,1,17,1,12,1,17,1,12,1,17,5,12,1,17,4,11,1,6,1,13,1,6,1,13,1,6,2,13,1,6,1,7,1,30,1,7,1,6,2,13,2,6,1,13,1,6,1,13,1,6,2,13,2,6,1,7,1,6,1,13,1,28,1,6,2,30,1,6,1,30,3,6,1,30,2,6,3,30,3,6,2,30,2,29,1,6,1,30,3,29,1,6,1,30,1,6,2,29,1,30,1,6,2,30,1,6,6,7,1,6,2,30,1,13,1,6,4,13,1,28,3,30,1,28,3,6,2,30,1,29,1,28,1,6,1,29,2,13,1,29,1,13,1,7,1,30,1,29,2,6,1,28,2,30,1,29,2,30,1,28,1,29,1,28,2,29,1,28,1,30,1,29,2,28,2,6,1,30,2,25,1,6,1,25,3,8,3,10,1,24,1,8,2,24,1,12,3,10,2,17,2,10,1,24,2,13,1,8,1,13,1,7,1,8,1,12,1,24,1,8,1,12,1,9,1,12,1,10,1,17,6,12,2,9,1,13,1,6,1,13,3,7,1,13,4,9,1,13,1,6,2,30,1,28,1,29,1,28,3,30,3,28,1,6,1,28,2,29,1,6,1,30,1,28,1,30,2,28,3,29,2,30,1,28,1,7,1,25,1,29,1,25,1,8,1,7,1,8,1,24,1,25,1,8,1,24,2,8,1,6,1,8,1,24,2,7,1,24,1,7,1,12,1,24,1,8,2,24,1,8,1,24,2,8,1,6,1,8,1,25,1,8,2,24,1,25,1,24,3,6,1,9,1,24,1,8,1,9,1,10,2,17,1,10,1,17,2,12,2,17,2,12,1,17,3,12,2,17,3,12,1,17,1,9,1,8,1,30,2,13,2,9,1,13,1,8,2,9,2,13,2,6,1,13,3,28,1,30,1,28,4,11,1,17,1,10,1,17,1,11,3,17,1,12,1,17,1,12,1,11,1,17,1,12,1,11,1,24,1,12,1,10,1,24,1,12,1,8,1,17,2,8,1,10,1,24,1,9,1,24,1,12,1,10,1,12,1,17,1,12,1,24,3,7,1,8,2,12,1,24,1,10,1,8,1,12,1,10,2,24,1,12,1,8,1,24,1,8,1,10,1,8,1,24,1,8,1,24,2,12,2,9,2,24,2,10,2,13,1,8,1,9,1,24,1,9,1,8,1,9,1,12,1,24,3,10,1,12,1,8,2,9,1,24,1,12,1,24,2,8,2,13,1,10,1,24,1,10,1,12,1,8,1,24,1,8,2,9,1,8,1,10,1,8,2,24,1,8,1,10,1,8,1,24,1,7,1,8,4,7,1,13,1,8,1,24,4,13,1,24,1,10,1,8,1,24,1,8,1,10,1,13,1,10,1,8,1,24,3,13,1,7,1,10,1,24,1,10,1,13,1,8,1,10,1,8,1,9,1,24,1,11,1,17,6,11,1,17,1,12,1,9,3,30,1,13,3,9,1,13,1,9,1,8,1,13,1,8,1,10,1,11,3,16,1,11,1,8,1,11,1,9,1,11,1,17,1,9,1,11,2,17,1,11,2,16,1,11,1,9,1,13,1,9,7,13,1,6,1,9,1,11,2,9,4,13,1,8,1,6,1,13,2,28,2,29,1,6,1,28,1,29,1,28,1,30,3,28,20,30,1,12,2,9,1,13,1,9,1,13,1,6,1,28,13,7,1,12,1,16,1,17,1,9,1,12,1,24,1,8,2,24,1,7,1,6,1,13,1,30,1,7,1,6,1,8,1,6,1,13,1,8,1,9,1,17,2,16,1,11,1,12,3,8,1,28,7,6,1,24,1,9,1,8,1,29,1,28,22,6,1,28,13,24,1,12,1,8,1,6,1,29,1,8,1,24,1,12,1,9,1,10,1,24,1,6,1,7,1,29,1,6,1,13,1,24,1,12,1,11,1,12,1,9,1,24,1,28,1,29,1,28,1,30,1,6,1,11,1,12,1,8,1,29,1,28,2,30,1,28,1,6,1,7,1,10,1,8,1,17,1,10,1,12,1,17,1,10,1,13,1,7,1,30,1,29,1,28,1,11,1,12,1,16,1,13,1,28,2,6,1,17,1,16,1,8,1,6,1,29,1,28,45,30,1,6,1,17,1,7,1,29,1,28,8,}, {28,10,30,2,28,2,6,1,8,1,13,1,29,1,28,7,13,1,8,1,13,1,29,1,28,3,30,1,6,4,8,1,13,3,8,1,29,1,9,1,8,3,11,1,17,4,8,1,24,1,6,1,28,10,13,1,9,1,29,1,28,6,29,1,6,2,29,1,28,1,29,1,28,9,6,1,12,1,24,1,29,1,28,39,29,1,28,8,6,1,7,1,6,1,7,1,28,5,9,1,13,1,6,2,28,1,29,1,28,2,6,3,28,1,30,2,28,6,30,1,8,1,13,1,28,1,30,2,28,2,29,1,13,1,9,2,10,1,8,1,13,1,7,1,13,1,24,1,13,1,8,4,9,1,24,1,8,1,6,1,7,1,6,1,13,1,6,1,30,1,28,30,30,1,28,6,30,1,6,2,24,1,7,1,13,1,28,4,6,1,15,1,9,1,12,1,8,1,24,1,8,1,13,2,8,1,6,1,13,1,6,1,7,1,6,1,13,1,28,1,30,1,6,3,13,1,6,1,13,1,6,1,13,1,10,1,12,2,17,3,9,1,28,64,6,1,13,3,8,1,6,1,28,59,30,1,28,9,30,1,28,7,13,1,11,2,16,1,11,2,16,3,11,1,16,1,11,2,16,1,11,5,10,1,11,3,9,1,11,7,17,1,11,2,9,1,11,3,8,1,9,4,13,1,9,1,8,1,13,1,8,1,13,3,8,2,13,2,9,2,8,1,13,5,7,1,6,3,7,1,28,1,29,1,30,1,28,12,30,3,6,4,13,1,6,4,30,1,29,3,30,1,28,1,6,1,30,1,28,53,30,1,8,1,12,1,11,1,8,1,11,4,9,3,13,6,7,1,8,1,29,2,6,1,29,1,30,2,28,1,30,1,28,30,7,1,9,1,28,29,30,1,6,3,28,8,30,2,28,1,6,1,7,1,6,1,28,11,13,1,9,1,13,1,9,7,6,2,13,1,8,1,30,1,28,3,30,1,13,2,9,2,13,1,6,1,30,1,28,8,13,1,9,3,13,2,6,1,13,2,9,1,13,5,8,1,13,3,30,1,6,1,13,1,28,1,13,4,9,1,13,1,11,1,13,1,9,8,8,1,11,2,9,1,16,1,11,1,9,1,10,1,9,1,10,1,11,1,17,1,16,1,17,1,16,1,10,1,16,3,17,1,16,2,11,1,16,2,11,1,9,1,16,3,8,1,16,1,9,1,16,1,9,1,11,1,8,1,9,2,11,1,9,1,16,1,11,5,8,1,9,1,10,1,9,3,13,1,9,1,13,4,8,1,13,1,9,1,7,1,6,1,13,4,6,1,13,8,8,1,29,1,9,1,16,1,9,1,8,1,13,1,8,2,6,1,13,1,9,1,13,1,6,2,13,1,6,2,13,2,8,2,13,2,6,1,13,2,6,1,13,2,8,2,13,3,9,1,13,1,8,1,9,1,7,1,30,1,13,1,6,1,9,1,13,6,9,2,13,1,8,1,13,2,8,1,13,2,6,1,13,1,7,1,13,2,11,1,9,1,16,1,10,1,11,1,17,1,11,1,16,2,9,1,28,8,7,1,13,1,28,1,6,1,13,1,7,1,6,2,13,2,6,1,8,1,28,3,30,1,13,9,7,1,8,1,13,9,7,1,13,1,6,1,13,2,6,1,7,1,6,1,7,1,13,1,6,2,7,1,13,1,7,1,30,1,7,1,13,1,6,1,13,1,6,1,7,1,13,1,6,4,13,1,30,1,6,2,13,1,6,1,13,2,30,1,6,1,13,2,6,1,30,1,13,4,6,1,7,1,29,1,6,1,7,1,13,1,6,5,13,2,6,1,13,2,6,2,7,1,30,2,13,1,7,1,13,5,6,1,7,1,13,1,6,1,13,6,7,1,13,3,7,1,13,4,7,1,13,1,7,1,6,1,13,2,8,1,6,1,13,3,6,1,13,1,6,1,13,2,6,2,13,2,6,1,13,1,6,2,13,1,16,1,9,1,30,1,6,1,7,1,29,1,30,1,13,2,6,1,13,2,7,1,6,3,7,1,6,2,13,2,6,1,7,1,13,1,6,3,29,1,6,1,7,1,6,1,7,1,6,7,7,1,6,3,13,1,6,4,30,1,6,3,30,1,6,1,30,1,6,2,30,1,6,3,30,1,6,1,13,1,30,1,6,4,30,1,13,1,6,3,7,1,13,4,29,1,6,1,13,2,6,1,13,1,7,1,6,1,7,1,6,2,13,2,6,5,7,1,6,1,13,3,6,2,29,1,13,5,7,1,13,1,6,1,30,1,6,2,7,1,6,7,7,1,30,1,6,3,30,1,6,7,13,1,30,1,28,1,6,5,7,2,6,1,13,1,7,1,30,1,7,1,6,1,13,3,6,1,13,1,8,1,13,1,7,1,6,1,7,1,6,1,13,2,6,1,13,1,6,3,13,1,8,1,13,5,6,1,7,1,29,1,13,1,30,1,13,1,6,2,13,1,30,1,6,1,30,1,6,2,13,1,30,1,13,1,6,2,13,1,6,2,29,1,6,3,30,1,6,1,13,2,6,1,13,2,6,3,13,1,6,1,13,2,6,3,13,3,7,1,13,1,6,2,13,2,6,1,13,1,7,1,30,1,6,1,13,1,30,1,6,1,13,5,6,1,13,1,6,1,13,1,6,1,13,3,7,1,13,2,8,1,13,1,9,1,8,1,30,1,6,1,13,1,6,4,13,7,7,1,6,2,30,1,6,2,13,2,6,1,13,1,7,1,13,1,7,1,6,2,13,2,7,1,30,3,28,2,30,1,28,2,30,2,28,10,30,1,28,1,6,1,28,12,30,1,28,1,30,1,28,2,30,1,28,10,7,1,13,1,6,1,29,1,6,1,30,2,28,4,30,1,28,4,30,1,29,1,28,1,30,1,6,1,13,1,29,1,30,2,28,2,30,2,6,3,13,2,6,1,28,1,6,1,30,1,6,1,30,1,6,1,30,3,13,1,30,1,13,1,6,2,13,1,6,1,13,2,17,2,9,1,7,2,28,1,30,1,28,14,30,1,28,1,6,2,13,2,28,3,9,1,28,2,17,1,12,1,24,1,10,2,13,1,24,1,8,1,13,2,7,1,13,2,29,1,7,1,25,1,6,1,25,1,6,1,25,1,6,1,25,2,7,1,8,1,24,1,10,1,24,2,9,1,24,1,12,1,10,2,12,1,9,2,10,1,24,2,12,1,24,1,12,2,24,1,10,1,9,1,10,1,12,2,24,1,12,2,17,1,12,2,17,1,12,2,17,3,24,1,17,2,10,1,17,1,10,1,17,1,12,2,17,1,12,2,10,1,12,4,9,2,12,2,9,1,17,1,12,1,24,2,10,1,12,1,17,1,10,1,24,1,17,1,8,1,9,1,17,1,8,1,12,2,8,1,12,2,8,1,10,1,12,1,10,1,12,1,9,1,12,2,17,1,24,1,10,1,12,2,10,1,9,1,17,1,10,1,12,3,17,2,12,1,17,10,12,1,17,3,10,1,7,1,6,1,13,2,6,3,29,1,13,1,6,1,7,1,6,2,30,1,6,4,30,1,6,1,13,1,6,1,13,1,30,1,6,2,30,1,6,1,30,1,6,1,30,8,6,1,29,1,6,2,30,2,28,1,30,1,28,2,30,1,6,1,30,1,6,5,13,1,30,1,6,1,30,1,6,1,7,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,2,30,1,29,2,6,2,29,1,28,1,13,1,28,5,30,2,7,1,30,1,28,2,6,1,28,1,29,1,30,2,29,1,7,1,29,1,7,1,13,1,6,1,30,1,6,1,29,2,6,1,28,8,30,3,28,1,29,1,6,1,25,1,26,1,6,1,8,1,7,1,8,10,7,2,8,1,10,1,9,1,13,2,12,1,8,2,24,2,10,1,13,2,24,1,8,1,9,1,10,2,17,2,12,1,17,4,12,1,11,1,9,1,6,1,7,1,13,2,8,1,13,3,7,1,13,2,8,1,10,1,9,1,6,1,30,1,6,1,29,2,6,1,30,4,6,1,28,1,29,2,28,2,29,1,28,2,29,1,30,1,28,1,29,1,30,1,28,1,30,1,29,1,30,1,25,1,7,2,25,6,24,1,25,1,8,1,24,1,8,2,24,1,8,1,24,1,8,2,24,1,13,2,6,1,25,1,24,1,8,3,25,2,24,1,8,1,25,1,8,2,24,1,13,2,24,3,8,1,12,1,9,1,12,1,24,1,9,1,17,1,10,1,12,1,17,2,11,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,17,1,9,1,17,1,9,1,17,1,13,1,28,1,13,13,6,2,13,1,6,2,13,1,9,1,17,2,10,1,12,2,17,2,12,1,11,1,17,1,12,1,8,1,12,2,17,1,9,1,12,1,10,1,24,1,12,1,9,1,10,1,9,1,10,1,9,1,10,1,24,1,9,1,13,1,24,1,7,1,24,1,8,1,9,1,10,1,9,1,24,2,13,1,10,1,8,2,24,2,8,2,24,3,7,1,24,1,10,1,8,1,24,2,12,1,24,4,12,1,24,1,10,1,8,1,12,1,8,2,24,3,12,1,8,1,24,3,12,1,10,3,9,1,10,1,24,2,10,2,24,1,12,2,9,1,10,1,12,1,24,1,13,1,8,1,13,1,24,1,13,1,7,1,24,1,9,1,8,2,12,1,24,2,10,1,8,1,10,1,8,1,13,1,24,1,8,2,13,2,24,1,8,3,13,1,8,1,24,2,8,1,24,2,10,1,12,1,8,1,10,1,13,1,24,2,8,2,12,1,13,1,9,1,10,1,9,1,24,1,9,1,8,1,17,1,11,1,17,1,9,1,17,1,9,1,11,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,13,1,9,1,13,1,8,1,9,1,10,1,9,1,8,1,11,2,16,1,11,2,16,1,11,1,17,1,11,3,16,1,11,1,13,1,8,1,11,1,13,1,9,2,10,1,9,2,11,1,13,1,9,3,11,2,9,1,7,1,9,2,11,1,13,3,30,2,28,2,30,1,28,6,7,1,30,3,28,21,11,2,9,1,8,1,13,2,28,13,13,1,12,3,9,2,10,1,8,2,6,2,7,1,30,1,28,1,30,1,6,1,13,1,8,1,13,1,9,2,10,1,9,1,12,1,16,1,17,1,10,2,11,1,29,1,28,6,6,1,24,1,11,1,8,1,28,11,30,1,28,24,6,1,12,1,24,1,7,1,28,1,6,1,7,1,10,1,12,1,24,1,9,1,13,1,6,2,29,1,7,1,13,1,9,1,17,1,12,1,9,1,24,1,7,1,28,1,29,2,30,1,6,1,9,1,17,1,24,1,30,1,28,3,30,1,6,1,7,1,10,1,24,1,17,1,12,1,10,1,15,1,12,1,8,1,29,1,30,1,29,1,28,1,24,1,12,1,10,1,7,1,28,2,13,1,10,1,16,1,7,2,30,1,28,45,30,1,8,1,12,1,9,1,30,1,28,8,}, {28,8,30,1,28,1,6,1,28,2,6,1,13,1,6,1,28,6,6,1,7,1,6,3,30,1,29,1,30,1,28,2,13,1,6,4,7,1,13,2,8,1,13,1,9,1,13,2,8,1,9,1,17,3,11,2,9,1,7,1,28,11,6,1,8,1,6,1,28,6,24,2,6,3,30,1,28,1,30,1,28,7,13,1,24,1,12,1,29,1,28,48,30,1,29,2,30,2,28,2,30,1,6,1,8,2,13,1,29,1,6,1,28,1,29,2,6,1,13,2,8,1,13,1,28,7,6,1,24,1,8,1,28,3,30,1,28,2,6,1,9,4,29,1,7,1,24,2,9,1,8,2,9,1,8,1,24,1,9,1,8,1,6,1,7,1,28,1,7,1,13,1,28,28,30,2,28,5,30,1,28,1,30,2,6,1,24,2,6,2,28,4,29,1,14,1,24,1,8,4,13,2,8,1,6,1,7,1,6,1,28,1,6,1,30,1,6,1,30,1,28,1,29,1,6,2,13,2,24,1,13,1,10,1,9,1,10,1,17,3,8,1,30,1,28,61,13,1,8,1,9,1,11,1,16,1,11,2,9,1,6,1,30,1,28,52,30,1,28,10,30,1,13,1,30,1,28,6,30,1,28,1,6,1,9,1,16,1,11,3,16,2,11,3,16,1,11,2,16,1,11,4,16,1,11,1,10,1,11,6,16,2,9,1,16,1,11,2,9,1,10,1,9,2,8,1,9,1,13,1,9,1,8,2,13,1,9,1,13,1,9,1,7,1,9,2,13,1,8,1,9,1,8,2,13,2,8,1,13,1,8,1,13,3,6,1,13,2,29,1,30,2,28,13,30,1,29,2,30,1,29,2,13,1,30,1,7,2,6,3,30,3,28,2,6,1,28,54,6,1,9,1,10,1,17,1,11,1,17,1,10,1,17,1,11,1,9,3,13,1,9,1,13,3,6,1,13,1,6,3,30,1,6,2,30,1,29,1,28,32,11,1,6,1,28,28,30,2,28,1,30,1,28,9,6,2,30,1,7,1,6,1,30,2,28,11,6,1,13,3,8,1,13,1,9,2,13,1,6,1,30,1,13,2,30,1,28,4,13,1,9,2,13,3,30,1,28,8,6,1,9,1,11,2,9,1,13,4,8,1,13,1,9,1,11,1,13,4,6,1,7,1,13,1,6,2,13,2,6,1,13,1,10,1,13,2,9,3,16,1,11,1,9,1,16,1,11,1,9,2,16,1,9,1,11,3,9,1,11,1,9,1,10,1,8,1,17,4,11,1,16,2,17,4,11,1,16,1,11,1,10,1,16,2,11,2,16,3,10,1,8,1,9,1,13,1,9,3,11,3,9,1,11,2,9,3,16,1,9,1,13,2,8,2,13,1,30,1,13,2,6,1,13,2,9,1,13,4,9,1,13,1,6,1,9,1,13,3,7,1,13,5,11,1,9,3,13,3,6,1,13,2,7,1,9,1,30,1,13,2,8,1,9,1,13,1,6,1,13,2,28,1,13,1,8,1,6,1,13,1,6,1,13,1,6,1,9,2,13,1,8,1,9,1,13,1,9,1,13,3,6,1,13,3,9,2,8,1,9,1,13,6,9,1,13,5,9,1,13,2,9,1,11,2,16,1,11,1,16,1,17,1,11,1,9,1,30,1,28,5,30,2,7,1,30,2,6,1,30,1,13,1,30,1,7,1,13,1,6,1,28,4,30,1,13,4,6,1,13,4,6,1,13,12,7,1,13,2,6,1,13,1,7,1,13,5,6,2,13,1,6,1,30,1,6,1,13,1,6,3,13,1,6,1,13,1,6,1,13,2,29,1,13,2,6,1,30,1,6,2,29,1,13,1,30,1,6,1,13,1,6,3,13,1,6,5,13,1,6,2,13,1,30,1,13,3,29,1,6,1,13,3,6,2,7,1,13,1,6,1,7,1,13,1,6,2,13,2,30,1,6,3,13,1,7,2,6,2,13,2,6,1,13,3,6,1,13,3,6,1,13,1,6,1,13,3,7,1,13,2,7,1,13,2,6,1,13,1,6,2,13,1,6,1,7,1,13,2,6,1,30,1,13,1,30,1,9,1,16,1,30,1,6,2,7,1,6,2,7,1,6,2,7,1,6,1,13,2,6,3,30,1,13,1,7,1,6,3,7,1,6,2,13,1,30,1,7,1,13,1,6,4,30,1,6,1,13,2,30,1,6,3,13,1,6,2,30,1,13,1,6,3,28,1,29,1,6,3,28,1,30,1,6,2,30,1,6,6,30,2,6,3,30,1,6,1,13,1,30,1,6,1,30,1,6,2,13,1,6,1,7,1,6,3,13,2,6,2,13,6,7,1,13,5,6,1,13,1,6,1,8,1,7,1,13,1,30,1,6,1,7,1,6,1,13,1,30,1,6,3,30,1,6,1,29,1,30,1,6,2,30,1,6,2,7,1,6,2,30,2,6,2,30,2,6,4,13,2,6,1,13,2,7,1,13,2,6,3,13,6,8,1,6,1,13,14,6,1,13,1,8,1,7,1,13,1,9,1,13,1,7,1,13,1,6,1,7,1,30,1,6,1,7,1,30,1,13,1,6,1,30,1,6,1,13,1,6,3,30,1,13,1,6,5,30,1,6,1,13,2,29,1,13,1,6,3,13,3,6,1,13,3,6,1,13,2,6,3,13,2,6,1,13,2,6,1,13,2,30,1,13,1,7,1,13,3,7,1,6,1,30,2,13,2,30,1,13,1,7,1,13,1,30,1,6,1,13,1,6,1,13,5,10,1,13,3,6,1,13,14,9,2,13,1,6,1,13,7,6,1,13,1,6,1,13,4,7,1,13,5,6,1,13,1,6,1,7,1,6,1,13,2,30,1,13,2,6,1,13,1,29,1,6,2,30,1,6,1,13,2,6,1,30,1,6,2,29,1,30,1,6,3,30,1,13,1,6,1,30,4,6,1,28,2,6,1,30,1,6,1,28,4,30,2,28,2,30,1,28,20,30,1,28,1,6,1,28,2,30,1,28,7,30,1,28,3,30,1,28,1,30,1,28,1,6,2,29,1,8,1,10,1,8,1,6,1,29,1,28,18,6,1,7,1,8,1,6,1,30,1,28,3,13,1,29,1,30,1,10,2,24,1,8,1,13,1,10,1,8,2,7,1,13,1,6,2,29,1,6,3,29,1,7,1,6,1,7,1,13,1,7,1,13,2,8,3,10,1,12,1,24,1,17,1,10,1,12,1,10,1,12,1,24,1,10,1,24,1,10,1,12,1,24,1,10,1,24,1,9,1,10,2,9,2,24,1,10,2,9,2,10,1,9,1,24,1,12,1,17,1,9,1,17,1,12,2,17,1,10,1,12,1,24,1,17,1,10,1,17,1,10,1,17,1,10,2,12,1,10,2,12,2,17,1,24,1,17,1,12,1,24,1,10,1,9,1,24,1,12,1,8,1,24,1,13,1,8,2,9,1,10,1,17,1,9,1,17,1,13,1,9,1,8,1,24,1,10,1,12,1,13,1,17,2,12,1,24,1,9,2,12,1,24,2,12,1,9,1,12,2,17,1,12,3,17,2,10,1,17,1,12,1,17,1,12,1,17,8,12,1,17,3,9,1,8,1,13,3,6,6,30,1,6,8,13,1,30,2,6,3,30,1,29,2,30,1,29,1,30,1,6,1,28,1,30,1,6,1,30,1,6,5,30,2,13,1,28,1,6,2,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,30,2,6,4,29,1,6,5,30,1,6,1,13,1,6,1,8,1,13,2,6,1,30,1,28,1,30,1,28,2,30,1,28,2,29,1,6,1,28,1,6,1,28,2,30,1,28,1,6,3,30,1,13,1,25,1,6,2,28,1,7,1,6,1,28,1,29,2,28,2,30,1,28,5,6,1,30,1,28,2,6,1,25,2,29,1,7,1,25,1,6,1,8,1,25,1,8,2,24,2,8,1,10,1,12,1,9,1,10,1,12,1,24,2,12,1,24,1,10,2,13,1,9,1,13,1,12,1,9,1,24,2,8,1,12,1,24,1,12,1,10,1,17,7,9,1,13,3,7,2,13,7,6,1,11,1,9,1,30,1,6,1,30,2,28,1,30,1,13,1,28,2,6,1,29,1,28,1,29,1,28,5,30,3,29,1,30,2,6,1,28,1,29,1,6,1,29,1,7,1,6,1,8,1,29,1,25,1,24,1,8,3,24,2,8,2,13,1,24,1,8,1,13,2,24,1,8,1,24,2,13,1,8,2,13,1,24,1,8,2,25,1,8,1,10,1,7,1,24,1,6,1,24,1,8,1,24,3,12,1,24,3,17,1,10,1,9,1,10,1,9,1,17,5,10,1,17,2,11,1,17,2,12,1,11,1,12,3,13,1,30,1,28,1,13,3,8,1,9,1,13,4,9,1,13,1,28,1,6,1,30,1,13,1,30,1,13,1,16,2,17,1,11,1,17,1,12,1,17,2,12,3,17,1,10,1,17,1,12,1,9,1,17,1,9,1,10,2,9,1,12,1,8,1,10,1,9,1,24,1,12,1,10,1,8,1,12,1,17,1,24,1,17,1,12,1,24,2,9,1,13,1,10,1,24,1,8,1,24,1,12,1,24,2,10,1,7,1,12,1,13,1,7,1,8,1,24,1,8,1,10,1,24,1,8,1,24,2,13,1,10,1,24,2,12,2,24,1,13,1,12,1,8,1,9,1,8,1,24,1,8,1,24,2,8,1,13,1,10,2,12,1,8,1,24,1,8,2,24,2,13,1,24,1,13,1,12,1,8,1,24,1,12,1,24,3,8,1,7,1,12,1,7,1,8,1,10,1,13,1,24,1,8,1,24,1,10,1,8,2,24,1,10,1,8,1,12,1,13,1,12,2,13,1,8,1,24,1,13,1,9,1,10,2,24,2,9,1,10,3,13,1,17,1,8,1,12,1,8,2,12,1,10,1,9,1,10,2,12,1,9,1,24,1,9,1,12,1,8,1,17,1,13,1,12,2,8,1,9,2,11,1,16,1,9,1,13,2,9,1,13,3,9,3,13,2,9,1,8,1,17,1,8,1,9,1,11,1,16,1,10,1,16,1,9,1,11,1,9,2,11,1,9,1,10,1,9,1,13,1,9,3,13,1,9,3,13,1,9,1,13,1,8,2,9,1,13,1,8,1,6,1,30,1,13,1,6,2,28,6,6,1,30,1,28,4,30,2,28,1,7,1,28,16,30,1,28,4,8,1,16,1,9,1,8,2,28,12,29,1,28,1,13,1,12,1,10,1,12,2,17,1,24,1,8,1,24,1,7,1,29,1,6,2,28,3,7,1,8,2,13,1,9,1,10,1,16,1,11,1,17,1,12,1,9,1,11,1,9,1,28,7,30,1,9,1,17,1,9,1,6,1,28,35,30,1,9,1,24,1,7,1,28,1,30,1,7,1,10,1,15,1,24,2,13,1,6,1,29,1,30,1,6,1,13,1,12,1,17,1,12,1,10,1,16,1,29,1,30,2,6,1,7,1,28,1,9,1,16,1,9,1,30,1,28,1,30,1,29,1,28,1,6,1,13,1,24,3,17,1,12,1,17,2,7,1,28,1,30,2,6,2,17,1,12,1,6,1,28,2,6,1,9,2,6,1,30,1,28,1,6,1,28,44,13,2,17,1,9,1,30,1,28,3,6,1,28,4,}, {28,7,6,2,28,2,13,2,6,1,13,1,28,4,30,1,6,3,29,1,6,3,7,1,30,1,28,2,30,2,6,1,7,1,29,1,8,1,13,1,8,2,13,1,8,1,13,1,9,1,13,1,8,2,10,1,17,3,11,1,13,1,8,1,7,1,28,9,29,1,6,1,24,1,6,1,28,6,29,1,8,1,6,2,30,1,28,3,30,1,28,6,6,1,24,2,7,1,28,45,30,1,28,3,8,1,9,1,13,1,28,4,30,1,24,2,6,1,30,2,28,2,29,1,13,1,6,1,8,1,28,1,29,1,28,7,29,1,24,1,13,1,30,1,28,5,13,1,17,1,9,2,8,1,29,1,7,1,29,1,6,1,13,1,12,1,8,1,12,1,9,2,8,1,13,3,7,1,13,1,6,1,7,1,28,34,30,1,28,1,29,1,30,1,29,1,6,1,13,2,28,5,6,1,10,1,9,1,24,2,9,1,24,1,13,2,8,2,30,1,13,1,6,1,13,1,28,2,30,1,28,1,29,1,7,1,29,1,7,1,13,2,8,1,12,1,17,1,12,2,17,2,13,1,30,1,28,59,6,1,9,2,13,1,9,1,16,1,10,1,16,1,9,1,13,2,6,1,28,63,30,1,28,1,29,1,28,7,6,1,11,1,17,1,11,2,16,1,11,1,16,1,11,1,16,2,11,1,16,1,11,3,16,1,11,1,16,1,10,1,11,1,10,1,11,3,16,1,9,1,11,1,9,1,11,1,16,1,17,1,16,1,11,1,10,1,9,1,11,1,10,1,9,1,8,1,9,1,8,1,9,2,8,2,9,1,13,1,9,1,8,1,13,1,9,1,8,1,7,1,8,1,13,2,8,1,13,2,6,1,13,1,6,3,30,1,6,1,28,1,29,1,28,16,30,1,6,1,28,1,29,1,6,4,30,1,13,1,29,2,28,1,30,1,28,2,6,1,29,1,28,53,9,1,10,1,17,1,11,1,17,1,9,1,12,1,17,1,9,3,8,1,13,1,9,1,7,1,13,1,9,1,13,3,7,1,13,1,6,1,13,1,30,1,29,1,30,1,28,32,6,1,11,1,28,30,30,2,6,1,30,1,28,1,6,1,28,6,6,1,13,1,6,1,13,1,30,1,6,1,28,12,8,1,13,2,9,1,13,1,9,2,13,2,30,1,28,1,13,1,8,1,30,1,28,4,6,1,9,1,13,1,9,2,13,1,28,1,30,1,28,8,13,1,11,1,13,1,11,1,13,2,30,1,13,2,8,1,9,1,13,1,9,1,13,3,6,1,13,5,6,1,13,3,9,1,11,1,13,1,11,1,9,1,13,1,9,2,11,1,10,1,11,1,10,1,16,2,9,1,10,1,9,1,11,2,9,3,16,1,17,4,16,2,17,2,16,2,17,1,9,1,11,2,16,1,11,1,16,3,9,2,11,1,9,1,10,1,9,1,16,1,8,1,9,1,13,1,8,1,9,2,16,1,11,1,9,1,10,1,13,1,8,1,13,2,9,1,28,1,6,1,13,4,8,1,13,1,6,1,8,1,9,1,6,1,7,1,6,1,9,1,13,2,9,1,6,1,13,2,11,1,13,2,9,2,11,1,13,2,9,1,13,4,6,2,13,2,30,1,13,2,8,1,13,1,6,1,13,13,9,1,13,2,9,2,13,3,6,1,13,2,6,1,9,2,8,1,9,2,13,3,9,1,11,1,8,1,9,1,13,1,9,1,8,1,13,3,9,2,16,2,10,1,16,1,9,1,11,2,13,1,6,1,28,6,7,1,30,1,29,1,30,1,6,8,28,2,30,1,6,1,13,1,6,1,13,3,9,1,13,8,6,1,13,1,8,1,6,1,8,1,13,3,6,1,13,3,6,2,13,2,6,2,13,1,6,2,7,1,13,5,7,1,6,1,13,1,6,1,13,2,6,3,13,1,6,3,30,1,6,1,13,1,6,5,13,1,6,1,13,3,6,2,13,2,6,3,30,1,13,1,30,1,13,1,6,1,13,1,6,2,30,1,6,1,13,2,29,1,6,2,13,1,30,1,7,1,6,1,13,2,6,1,13,4,6,1,13,2,7,1,13,9,7,1,8,1,7,1,13,2,6,1,13,4,6,2,13,1,30,1,6,1,7,1,6,2,13,1,7,1,13,1,6,1,13,1,6,2,30,1,16,1,9,1,13,2,6,1,13,2,6,4,13,1,6,1,30,1,6,3,30,1,13,1,6,2,7,2,13,1,6,3,7,1,13,1,30,1,6,1,30,1,13,1,30,1,6,7,13,2,6,1,13,3,6,1,30,1,6,2,13,1,7,1,6,4,30,1,6,1,30,2,29,1,6,1,30,5,29,1,6,2,30,2,6,5,7,1,6,2,28,1,13,1,30,1,13,2,6,1,13,1,7,1,6,1,13,1,6,2,7,1,13,1,7,1,13,1,7,1,6,1,13,4,7,1,6,1,13,1,30,1,13,3,30,1,13,1,6,11,13,1,6,11,29,1,6,4,13,1,30,1,13,2,6,2,13,1,6,2,13,3,6,1,13,2,6,3,13,2,8,1,13,2,9,1,8,1,13,2,6,3,13,1,6,5,13,9,6,1,29,1,6,1,13,1,6,2,7,1,30,1,6,1,13,1,6,1,13,2,6,2,28,1,6,1,30,1,6,1,28,1,30,1,6,2,13,1,7,1,13,1,7,1,6,1,29,1,6,1,13,1,7,2,13,1,30,1,6,2,13,1,6,1,13,3,6,1,13,1,6,2,13,4,30,1,13,1,6,1,13,1,6,1,13,3,6,1,13,1,6,1,13,9,6,1,9,1,13,1,9,1,6,1,13,1,7,2,6,1,8,1,13,5,6,2,8,1,13,2,6,2,13,4,6,1,13,2,29,1,13,1,6,1,29,1,13,1,6,5,13,2,6,1,13,2,6,2,13,2,6,1,8,1,30,1,13,6,6,1,13,1,8,1,13,2,6,1,13,1,7,1,13,1,8,1,13,1,6,1,13,2,6,1,13,1,6,1,9,1,13,4,8,1,13,6,6,1,9,1,13,4,8,2,13,7,30,2,6,4,29,1,30,2,28,1,30,1,28,2,29,2,6,1,30,2,28,21,11,1,30,1,29,1,28,17,29,1,7,2,13,1,7,1,30,1,28,5,13,1,28,1,11,1,8,1,24,1,8,2,6,1,29,1,13,1,29,1,6,1,30,1,29,2,30,1,28,1,6,1,29,1,6,2,30,1,6,1,13,1,6,1,7,2,10,1,13,1,24,1,13,1,8,1,12,2,24,1,12,1,24,1,17,1,12,4,9,1,10,2,24,2,12,1,10,1,9,1,24,1,12,1,24,2,17,1,10,1,12,2,24,1,17,1,9,1,17,1,12,1,10,1,17,2,10,2,17,1,10,1,9,1,12,1,17,2,24,1,17,1,10,2,12,1,10,1,9,1,12,1,9,2,24,2,17,2,8,1,24,2,9,1,24,1,17,1,8,1,10,1,8,1,24,3,12,1,10,2,12,1,9,1,24,2,12,4,8,1,12,1,24,1,12,2,10,1,17,2,10,1,12,1,10,1,17,1,12,4,11,1,17,8,12,1,17,2,11,1,17,2,13,2,6,2,7,1,6,5,7,1,6,1,29,1,6,2,13,1,6,1,30,2,6,3,13,1,6,3,13,1,30,1,6,1,30,1,29,1,28,1,30,2,6,2,30,1,29,1,30,3,29,1,28,1,30,2,6,1,30,1,6,1,30,3,6,4,7,1,6,1,30,1,13,1,6,3,7,1,6,1,29,1,6,1,7,1,6,1,30,1,29,1,30,1,13,2,6,2,7,1,13,1,6,1,13,1,28,3,30,1,28,3,30,2,28,4,30,1,29,3,6,1,30,1,6,1,7,1,29,1,6,2,28,9,30,1,28,6,30,1,28,1,6,1,29,1,7,1,25,1,7,1,8,1,10,1,24,1,8,1,24,2,13,1,24,4,12,1,9,1,24,1,12,2,24,1,12,1,9,1,13,1,10,1,13,1,8,1,13,1,8,1,24,1,10,1,11,1,10,1,12,1,17,7,13,1,7,1,13,1,6,1,13,3,7,1,13,8,9,1,8,1,7,1,28,1,29,1,28,2,30,1,6,1,28,1,30,4,28,1,30,1,29,1,28,1,6,1,28,3,29,1,28,1,6,2,29,1,28,1,30,2,7,1,30,1,6,1,7,1,25,3,24,1,25,1,24,1,10,1,13,1,24,1,13,1,24,1,13,1,24,1,12,1,24,1,13,1,7,1,24,1,13,1,12,1,24,1,25,1,8,1,6,1,7,1,24,1,25,2,24,2,6,1,24,1,6,1,24,1,8,1,24,1,8,1,24,1,10,1,24,1,12,2,24,1,12,1,17,1,12,1,17,1,9,1,12,1,17,5,9,1,11,1,17,2,12,2,17,1,10,1,13,1,28,1,8,1,13,9,30,1,6,1,7,1,30,1,13,1,9,1,11,1,17,3,12,1,17,3,12,1,10,1,17,1,10,2,12,2,9,1,10,2,12,1,17,1,24,1,17,1,12,1,24,1,12,1,24,1,9,1,10,1,12,1,9,4,8,1,7,1,8,1,24,2,8,1,10,1,7,1,24,1,12,1,24,1,13,1,24,1,13,1,8,1,24,2,17,1,8,1,10,1,8,1,24,1,8,1,24,1,12,1,13,1,24,1,8,2,24,1,9,1,24,1,13,1,10,1,24,1,8,1,12,1,6,1,24,1,8,1,9,1,24,1,9,1,8,4,10,1,24,1,6,1,12,1,9,1,10,1,13,1,12,1,10,1,13,1,24,1,12,1,9,1,13,1,29,1,8,1,24,1,8,4,13,1,9,1,24,1,8,1,24,1,13,1,9,2,10,1,13,1,8,1,13,1,8,1,24,2,8,1,24,1,10,1,13,1,24,2,8,3,9,1,13,1,10,1,8,1,24,2,10,1,8,1,24,1,17,1,24,1,17,1,9,1,17,1,24,1,11,1,12,1,9,1,17,1,9,2,11,1,9,1,11,2,9,1,11,1,9,2,13,1,9,2,13,2,8,2,13,2,11,1,9,1,13,6,11,1,13,2,9,1,11,1,9,3,8,1,9,3,10,2,11,1,8,3,13,1,8,1,13,3,8,1,13,2,6,1,7,1,13,1,6,2,30,1,6,1,30,4,28,5,29,1,28,2,30,2,28,2,6,1,28,2,6,1,28,19,9,1,13,1,8,1,7,1,29,1,28,9,30,1,28,3,6,1,17,2,12,1,8,1,9,2,13,2,6,1,29,2,30,1,28,1,29,1,28,1,29,2,6,1,13,1,9,2,17,1,16,1,12,1,17,3,8,1,6,1,28,6,7,1,9,1,10,1,8,1,29,1,28,35,30,1,10,1,8,1,7,1,6,1,28,1,7,1,12,1,9,1,12,1,8,1,6,1,7,1,30,1,6,1,7,1,13,1,10,1,12,1,17,1,10,1,9,1,13,1,6,1,28,1,29,1,28,1,6,1,12,2,8,1,28,2,29,2,30,1,6,1,13,2,8,1,15,1,24,1,15,1,24,1,8,2,6,1,28,3,8,1,12,1,9,1,13,1,30,1,28,1,29,1,24,1,11,1,13,1,6,1,28,47,8,1,9,1,8,1,30,1,28,8,}, {28,7,6,1,30,1,6,2,8,1,6,2,28,3,6,3,7,1,13,1,29,1,6,1,13,1,30,1,7,1,28,1,30,1,28,1,29,1,13,2,6,2,13,1,6,1,13,1,8,1,6,1,8,2,13,2,6,1,24,1,9,1,17,4,9,1,8,1,13,2,30,1,28,9,13,1,10,1,6,1,28,1,30,1,28,3,30,1,8,1,13,1,6,1,29,1,28,12,13,2,29,1,28,49,8,1,13,1,6,1,29,1,28,3,13,1,9,2,7,1,28,2,29,2,6,2,13,2,30,3,28,6,8,1,13,1,6,1,29,1,30,1,28,4,29,1,10,1,9,1,12,1,13,1,7,1,6,1,13,1,8,2,7,1,13,1,8,1,24,2,8,1,24,1,6,1,30,1,13,1,7,1,6,2,28,34,6,1,30,1,6,2,8,1,13,1,15,1,8,1,30,1,28,4,30,1,24,1,12,1,9,1,24,2,8,2,13,1,8,1,7,1,6,1,7,1,8,1,30,1,28,1,6,1,30,1,6,1,7,1,6,1,7,2,30,1,7,1,9,1,12,1,8,1,12,1,17,2,12,1,13,1,28,59,13,1,9,2,8,3,9,2,16,1,13,1,6,2,13,1,28,60,30,1,29,1,30,1,13,1,6,1,8,1,30,1,28,2,30,1,28,1,6,1,13,1,8,1,16,1,11,1,9,1,16,2,11,1,16,1,11,3,16,2,11,3,16,1,11,3,16,1,10,2,11,3,10,1,16,1,11,1,16,1,11,3,10,1,9,6,13,1,9,1,8,2,9,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,8,2,13,1,8,1,13,2,9,1,7,1,6,3,30,3,28,20,29,1,6,2,7,1,29,1,13,1,7,1,29,2,30,2,28,4,29,1,28,53,8,1,16,1,11,1,16,1,11,1,12,1,11,2,9,1,17,1,8,1,9,1,8,3,13,3,6,3,24,1,6,2,30,2,28,2,29,1,28,31,29,1,13,1,28,29,30,1,28,1,30,1,6,4,28,6,6,2,13,2,30,3,28,11,6,1,9,1,13,3,9,1,13,1,9,1,13,1,28,2,6,1,13,1,28,6,9,2,13,2,9,1,30,1,28,9,6,1,9,4,6,2,13,1,6,1,13,4,7,1,11,1,6,1,9,1,13,5,9,1,8,1,9,5,16,3,9,1,11,2,9,1,11,2,16,1,17,1,9,1,16,1,11,1,9,1,13,1,11,1,9,2,16,1,17,3,11,1,17,4,16,3,11,1,16,5,17,1,11,2,9,1,16,1,10,1,16,1,9,1,16,1,8,1,9,6,13,2,9,1,13,5,30,2,7,1,28,1,13,4,6,2,13,2,8,1,13,3,9,1,13,3,6,2,13,1,6,1,13,1,7,1,13,2,30,1,13,3,9,1,13,1,6,1,9,1,7,1,13,4,9,1,13,1,9,1,30,1,13,1,9,2,13,2,8,1,13,1,8,1,13,1,8,2,13,1,9,4,13,2,30,1,13,5,8,1,9,2,8,1,9,1,13,1,9,1,13,2,9,1,13,2,9,1,11,1,9,3,13,1,9,3,16,4,8,1,9,1,28,6,30,3,6,2,29,1,6,1,7,1,6,3,30,1,6,1,28,2,6,1,13,1,8,1,13,3,6,2,13,10,6,1,13,1,6,1,13,2,6,1,13,2,6,3,13,1,6,1,7,1,13,1,6,1,13,1,7,1,13,1,6,1,13,2,7,1,6,2,13,2,6,1,13,2,30,1,6,2,7,1,13,2,6,3,7,1,6,1,29,1,7,1,6,13,13,1,6,1,13,1,6,1,13,1,6,2,7,1,13,2,6,1,13,1,6,3,7,1,6,1,7,2,6,2,13,1,7,1,13,2,6,1,13,1,6,1,13,2,6,1,9,1,8,1,13,8,6,1,13,2,8,1,13,8,6,5,30,2,6,1,30,5,28,1,6,1,9,1,28,1,6,3,30,3,6,1,30,2,28,1,30,3,6,2,28,1,6,1,30,1,28,1,30,2,28,2,30,8,6,2,30,1,6,6,30,1,6,1,29,1,30,2,6,1,28,1,6,1,30,1,6,1,28,1,30,1,29,1,30,1,6,2,30,1,6,1,30,2,6,1,30,1,29,1,6,2,30,3,6,5,29,1,6,2,30,1,13,1,6,1,13,2,6,5,13,1,6,1,13,1,6,1,13,2,6,2,13,1,7,1,13,1,6,2,7,1,13,1,7,1,6,1,13,3,7,1,13,1,6,2,13,1,6,4,30,1,6,1,30,1,6,2,30,1,6,1,29,1,6,5,30,1,6,1,28,1,6,1,30,1,6,3,7,1,6,8,28,1,6,2,13,1,6,1,13,1,7,1,6,2,8,1,13,1,6,1,13,2,6,3,30,1,13,1,6,4,13,1,30,1,7,1,6,1,13,1,6,1,13,4,7,2,30,1,13,1,7,3,6,4,7,1,13,1,6,4,13,1,29,1,6,5,30,1,13,1,6,1,29,1,13,1,6,6,13,3,6,3,7,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,7,1,29,1,13,1,7,3,13,3,6,1,13,2,9,1,13,1,6,2,13,1,6,1,30,1,13,1,7,1,13,1,6,1,13,1,9,1,16,1,13,2,8,1,9,1,13,2,6,1,13,3,9,1,13,1,7,1,13,1,7,1,13,3,7,1,6,2,13,4,6,1,13,1,6,1,13,2,6,1,13,1,6,2,7,1,30,1,13,1,6,1,13,1,30,1,7,2,13,2,6,2,13,1,6,1,13,1,6,1,7,1,13,2,6,2,7,1,13,1,6,1,13,7,7,1,6,1,13,4,7,1,13,5,6,1,7,2,13,19,6,1,13,1,6,1,13,11,8,2,13,5,8,1,13,4,6,1,13,1,28,1,30,3,28,3,30,1,28,1,30,2,29,1,28,1,9,1,6,1,28,11,30,1,29,1,6,1,28,1,6,1,29,1,6,1,13,1,6,2,7,1,30,1,28,6,9,1,30,1,8,1,24,1,8,1,29,1,30,1,29,1,30,1,28,5,30,2,29,2,30,2,29,1,6,1,29,2,7,1,6,2,29,1,8,1,13,1,8,2,24,1,12,1,9,2,12,3,9,1,24,7,12,2,10,2,24,1,12,2,9,2,12,2,17,1,11,1,10,1,12,1,17,2,10,1,17,1,9,1,12,4,10,1,12,1,10,1,12,3,17,1,9,1,10,2,12,1,10,1,17,2,10,1,12,2,9,1,8,1,9,1,24,1,8,2,9,1,8,1,9,1,12,1,24,1,9,1,24,1,9,1,10,1,8,1,10,2,24,1,17,1,12,1,24,2,12,1,17,1,12,2,17,1,12,3,10,1,17,2,12,1,17,2,10,1,17,2,10,1,12,1,17,5,12,2,17,5,8,1,13,3,6,1,30,2,6,2,30,1,6,1,13,6,6,1,30,1,13,1,30,2,6,1,30,1,6,1,13,1,6,1,30,3,6,1,30,4,28,1,30,2,6,1,30,1,29,1,30,4,6,1,30,2,29,1,30,1,28,1,6,2,30,2,13,1,6,2,13,1,6,3,13,1,30,1,6,2,30,2,6,4,13,1,6,1,13,3,7,1,13,1,29,1,28,7,30,3,28,3,29,1,30,1,7,1,30,3,29,1,8,1,29,2,6,2,29,1,7,1,28,1,30,1,28,2,30,1,28,7,30,1,29,1,6,2,8,1,6,1,25,1,8,1,7,2,13,2,24,1,10,1,12,1,8,1,10,2,9,1,8,1,17,1,10,1,9,1,8,1,24,1,9,1,24,1,8,1,24,1,8,1,24,1,9,1,13,1,12,1,10,1,9,1,12,1,17,2,12,1,17,1,11,1,17,1,11,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,13,8,9,2,6,1,29,1,6,1,30,2,29,3,28,2,6,1,29,1,28,1,30,2,29,1,28,1,30,2,28,4,30,1,29,1,6,1,30,1,7,1,6,1,28,1,7,1,29,2,8,1,6,1,25,1,24,2,13,1,8,1,24,1,8,2,12,1,13,1,24,1,8,2,10,1,12,1,10,1,8,1,10,1,24,2,10,1,24,1,8,2,10,1,25,1,24,3,8,1,24,2,8,4,24,1,10,1,24,1,17,2,12,1,17,1,12,1,17,3,12,1,17,4,12,1,17,2,12,2,17,3,30,1,8,2,13,4,8,1,13,1,8,1,28,1,6,3,13,1,12,1,10,1,17,5,12,1,9,1,17,1,10,1,11,1,17,2,12,1,17,2,10,1,12,2,24,2,17,1,8,2,10,1,12,1,10,2,13,1,7,1,10,3,12,1,24,1,12,1,9,1,24,1,8,1,10,1,8,1,12,1,24,1,8,1,7,1,24,2,8,1,24,2,12,1,8,2,12,1,9,1,13,1,24,2,8,1,24,2,12,2,10,1,12,1,10,1,24,2,12,1,8,1,24,1,12,1,24,2,8,1,13,1,8,1,17,1,13,1,24,1,10,1,24,1,8,1,12,1,24,4,12,1,24,1,8,2,24,1,12,1,7,1,12,1,10,1,24,1,13,1,24,1,8,1,24,1,9,1,8,1,7,1,12,1,6,1,8,1,9,1,24,1,10,1,13,1,10,1,24,1,13,3,24,1,8,1,13,1,8,2,12,1,10,1,12,1,10,1,24,1,8,1,12,1,24,1,12,1,24,1,9,2,24,1,9,2,10,1,9,1,12,1,9,3,17,1,10,1,11,1,9,1,11,1,9,1,16,1,8,1,13,1,9,1,13,1,9,1,8,1,9,2,13,1,9,1,13,1,8,1,9,1,13,1,8,2,9,3,13,1,9,2,13,1,9,1,13,1,11,1,9,1,11,1,8,1,9,3,13,1,11,1,13,1,9,3,13,2,8,1,9,1,8,2,6,1,13,1,6,1,13,2,30,1,28,2,6,1,28,3,30,2,28,1,30,1,28,4,29,1,30,2,28,4,30,1,28,22,30,1,13,1,7,1,13,2,28,8,6,1,28,2,30,1,28,1,6,1,17,2,12,1,11,1,12,1,8,1,13,1,7,1,29,1,28,1,30,1,29,1,30,1,28,2,6,3,8,1,24,1,9,1,12,1,10,1,17,4,7,1,28,8,9,2,24,1,29,1,28,35,13,1,24,1,13,1,7,1,29,2,24,1,14,2,24,1,9,1,29,1,6,3,7,1,8,1,12,2,17,2,10,1,6,1,28,1,30,1,29,1,13,1,6,1,12,2,9,1,6,1,28,1,30,2,6,3,8,1,13,1,15,1,12,1,11,1,12,1,10,1,7,1,30,1,28,1,30,1,29,1,24,1,17,1,9,1,28,3,7,1,24,1,12,1,24,1,28,1,13,1,28,46,10,1,12,1,10,1,6,1,28,8,}, {28,4,30,1,13,1,29,1,6,1,8,1,11,1,6,1,30,1,28,1,30,2,13,1,6,1,29,1,7,1,6,1,29,1,6,2,30,1,28,2,30,1,6,1,29,1,13,2,6,1,8,1,13,1,29,1,7,1,13,1,6,1,9,3,13,4,8,1,9,1,11,1,17,2,16,1,9,1,8,1,9,1,29,1,28,10,6,1,12,1,13,1,29,1,28,4,30,1,24,1,8,1,6,2,28,11,30,1,13,1,8,1,30,2,28,44,30,1,28,3,13,2,6,1,30,1,28,4,13,1,9,1,29,2,28,1,29,1,30,1,6,1,13,1,6,1,8,1,30,1,13,1,28,7,29,1,8,1,29,1,6,1,28,1,30,1,28,3,7,1,10,1,12,1,8,1,6,1,29,1,8,1,29,1,6,1,13,1,24,1,8,1,7,1,24,1,12,1,24,1,8,2,13,1,7,1,8,1,6,2,28,33,29,3,28,1,30,1,6,1,13,1,24,1,8,1,30,1,28,4,6,1,14,1,9,1,10,1,15,1,9,2,13,1,7,1,24,2,8,1,6,1,7,1,6,1,30,1,13,1,6,1,28,1,7,1,30,1,29,1,7,1,24,3,9,1,11,1,10,1,17,2,16,1,13,1,29,1,28,52,30,1,28,3,6,1,13,1,11,3,13,2,9,5,6,2,28,36,29,1,28,2,30,1,28,15,29,1,6,1,30,2,13,4,8,1,13,2,6,2,13,1,28,1,6,1,29,1,9,3,16,3,11,4,9,1,16,2,11,1,9,1,11,7,16,1,11,1,16,1,11,1,9,1,11,3,16,2,11,1,10,1,11,1,10,1,11,1,9,2,11,1,9,1,8,1,13,1,8,1,9,2,8,1,13,2,9,1,13,2,8,1,13,1,8,1,9,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,29,1,30,1,6,1,30,1,29,1,28,21,6,1,29,1,6,3,28,1,6,1,30,1,6,1,28,4,29,1,28,52,7,1,17,2,16,1,17,1,11,1,17,2,11,1,10,1,9,1,11,1,9,3,7,1,8,1,13,1,9,1,13,3,30,1,6,2,30,1,7,1,28,3,30,1,28,31,13,2,28,31,6,3,13,1,28,7,6,1,28,1,13,1,6,2,13,1,28,12,7,1,13,2,9,1,13,1,9,1,13,2,7,1,28,1,6,1,13,1,6,1,30,1,28,4,6,1,13,2,11,1,9,1,13,2,28,9,30,1,9,3,11,1,13,13,9,1,13,2,9,3,8,1,9,2,16,2,11,1,17,1,11,1,16,1,17,1,11,2,16,1,11,1,17,1,16,1,17,1,11,2,16,1,8,1,9,2,13,1,16,1,17,4,16,1,17,2,16,2,11,1,16,1,8,1,9,1,16,2,17,1,16,1,11,2,9,1,16,1,11,1,16,1,13,1,11,1,9,1,11,1,9,4,13,1,7,1,13,1,7,1,13,2,7,1,13,1,29,1,30,1,28,1,30,1,28,1,7,1,13,1,6,1,13,2,30,1,13,1,6,1,7,1,13,1,6,1,9,1,13,4,6,1,8,2,13,1,9,1,13,5,9,1,13,2,28,1,13,6,6,2,9,2,13,1,9,1,13,6,9,1,13,2,9,1,13,1,8,1,9,2,13,1,9,1,13,1,9,1,8,1,13,3,9,1,8,1,9,1,13,1,9,1,10,1,9,2,13,1,8,1,13,1,9,1,13,2,8,1,9,1,16,1,9,3,11,2,16,3,11,2,28,8,30,3,28,1,13,1,29,1,6,2,13,1,6,1,30,2,28,2,13,3,8,1,13,5,6,1,13,2,6,2,7,1,13,2,7,1,13,2,6,1,13,2,7,2,6,3,13,3,6,1,13,6,6,1,13,1,6,2,13,3,6,2,30,2,6,1,13,1,6,6,30,1,29,1,6,1,7,1,30,1,6,2,7,1,30,1,6,1,7,1,6,2,13,1,6,1,7,1,30,1,6,1,13,1,6,2,7,1,30,1,7,1,6,4,7,1,30,1,6,3,30,1,7,1,6,1,13,3,6,1,13,1,6,2,7,1,13,1,6,1,13,1,6,1,13,4,6,1,13,1,6,7,13,1,7,2,13,1,30,1,6,2,30,1,6,1,28,1,6,1,30,1,6,2,28,1,6,1,30,1,28,1,30,2,28,1,30,3,13,2,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,2,28,1,30,3,28,1,6,1,28,1,30,1,28,1,6,1,30,2,6,1,28,1,29,1,28,1,30,2,28,1,30,1,29,1,6,1,28,1,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,2,6,1,30,2,6,2,29,1,6,1,28,1,6,2,30,2,6,1,30,4,28,1,30,2,28,1,6,1,30,4,6,1,28,1,30,4,6,2,30,2,6,1,30,1,6,2,30,1,6,3,13,1,6,2,7,1,6,1,7,1,6,2,13,1,7,1,13,2,8,1,13,2,6,2,13,4,7,1,13,1,6,1,7,2,13,1,7,1,6,2,30,1,6,1,30,2,28,1,6,2,30,3,6,2,30,1,6,1,30,1,6,3,13,1,6,1,28,1,30,1,29,1,7,1,6,1,29,1,30,1,29,1,30,3,6,1,7,1,13,1,6,2,13,1,6,4,13,1,28,1,13,1,6,1,13,1,30,1,6,6,7,1,6,3,13,1,6,1,13,1,7,2,6,5,29,1,6,2,30,1,7,1,30,2,6,2,29,1,13,1,6,5,30,2,6,1,30,2,6,3,13,2,6,2,13,1,6,1,13,1,6,1,13,1,7,1,6,3,30,1,6,1,7,1,13,1,30,1,6,1,30,1,6,4,7,1,30,1,13,1,6,1,30,1,13,1,6,1,13,1,6,1,30,1,6,1,13,1,6,1,13,2,30,1,6,1,8,1,7,1,13,1,30,1,13,3,6,1,13,1,9,1,10,1,13,1,6,1,13,1,7,1,6,2,7,1,13,5,6,2,13,3,6,1,13,1,6,3,13,2,6,1,13,1,29,1,30,1,6,1,13,2,6,1,30,1,7,1,13,1,6,3,13,1,6,3,13,1,6,1,30,1,13,1,6,1,28,1,13,2,30,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,4,6,1,7,1,13,6,6,2,13,2,6,1,13,4,6,1,13,2,7,1,30,1,13,2,6,1,13,4,9,1,6,1,7,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,2,13,5,6,2,7,2,13,3,7,1,29,1,13,6,8,1,13,3,9,1,10,1,13,2,9,1,13,3,9,1,13,1,30,1,28,9,6,1,7,1,13,2,24,1,7,1,28,1,13,1,6,1,28,10,13,1,7,1,8,1,9,1,6,2,28,12,29,2,28,2,30,1,28,1,30,1,6,1,28,1,6,3,7,1,13,1,8,1,10,1,12,2,8,2,24,1,10,2,24,3,8,1,24,5,8,1,12,1,24,1,12,7,24,1,17,1,12,1,10,1,12,1,10,1,12,4,17,1,10,1,12,1,9,1,12,2,10,1,24,1,10,1,8,1,10,2,24,1,8,1,24,1,10,1,8,1,12,1,10,1,9,1,24,1,10,2,8,1,10,3,8,1,24,1,10,1,24,2,12,1,7,1,10,2,24,2,12,2,17,1,10,1,12,4,17,1,12,1,10,1,17,2,12,1,17,2,12,1,17,1,12,1,10,1,17,1,12,1,17,1,11,1,17,1,12,1,17,1,12,1,17,5,12,1,13,2,6,5,30,1,6,2,13,3,7,2,6,1,13,1,6,2,13,2,6,2,30,2,28,1,13,1,30,1,7,1,30,2,29,1,6,3,30,1,6,1,30,3,6,1,30,1,28,1,30,3,6,1,28,1,29,1,30,1,6,1,30,1,28,1,6,1,7,1,6,1,7,3,13,2,30,1,13,1,6,2,30,1,13,1,30,1,13,1,6,1,13,1,6,2,13,3,6,1,7,1,28,1,29,1,28,7,6,1,29,1,30,1,28,4,29,1,7,1,30,2,6,1,28,1,6,2,29,1,30,1,28,3,30,1,28,4,30,1,29,1,28,2,29,1,28,4,6,1,29,1,7,2,24,1,13,1,8,1,13,2,12,1,24,1,13,1,12,2,24,1,9,2,11,1,12,1,9,1,24,3,12,1,24,1,7,1,9,1,8,1,24,1,8,1,12,1,8,2,17,1,12,1,17,5,9,1,30,1,6,1,13,1,7,1,13,13,7,1,11,1,13,1,6,2,30,1,6,1,30,2,29,2,6,1,29,1,28,1,29,4,6,1,28,1,30,1,28,2,6,1,30,1,28,1,6,1,7,2,29,1,6,1,8,1,6,1,29,1,30,1,25,1,29,1,8,1,25,1,8,2,24,1,8,2,7,2,8,1,10,1,13,1,24,2,8,2,24,2,8,1,24,1,25,1,24,1,13,3,6,1,7,1,8,6,24,1,13,1,10,1,8,1,12,2,9,2,17,1,12,1,17,3,12,2,17,3,12,1,17,1,12,1,17,1,12,3,17,2,9,1,29,1,13,1,8,1,13,2,9,1,13,1,9,1,6,2,30,1,28,1,7,1,9,1,17,6,10,1,17,2,12,1,9,1,10,2,11,1,9,2,10,1,9,2,10,1,17,1,9,1,10,1,24,2,17,1,24,1,12,2,8,1,12,2,7,1,24,1,10,1,13,1,10,1,24,1,10,1,8,2,24,2,6,1,24,1,8,1,12,1,24,6,12,1,8,1,13,1,8,1,24,1,8,1,13,1,24,1,8,1,24,1,10,1,9,1,7,1,10,1,24,2,8,1,24,1,12,1,8,2,24,1,8,1,13,1,7,2,24,1,8,2,13,1,8,1,10,1,24,1,10,1,8,1,13,1,10,1,24,1,13,1,24,1,10,1,12,1,8,2,24,1,8,1,24,2,8,2,24,3,12,1,10,1,12,1,24,1,13,1,8,1,9,1,24,1,12,1,24,7,13,2,10,1,8,1,13,1,10,1,24,1,9,1,13,1,10,1,8,1,17,2,24,1,17,1,10,1,9,1,12,1,10,1,9,1,11,1,10,1,11,2,8,1,9,1,8,1,9,4,13,1,8,2,13,3,9,1,13,1,11,1,8,1,11,2,13,2,11,1,8,1,9,1,13,1,8,1,9,1,13,1,30,1,11,1,16,1,13,1,9,2,11,1,9,4,13,1,17,1,11,2,9,1,8,2,9,1,13,1,9,1,13,1,28,1,29,1,6,2,28,1,30,2,28,1,30,1,28,2,30,1,28,8,30,1,28,2,30,1,28,3,30,1,28,21,30,1,8,1,9,1,13,1,30,1,28,9,30,1,28,3,6,1,11,1,12,1,9,1,12,2,7,1,8,1,7,1,6,1,7,1,30,1,28,1,30,1,6,1,30,2,13,2,6,1,8,1,13,1,9,1,12,1,17,3,11,1,8,1,28,7,13,1,12,1,8,2,7,1,28,35,7,1,9,1,8,1,13,1,6,1,30,1,24,1,14,1,15,1,24,1,8,2,13,2,7,1,9,1,24,1,10,1,17,2,12,1,11,1,6,1,30,2,29,1,6,1,30,1,10,1,17,1,8,1,29,1,28,1,30,1,6,1,28,1,6,1,7,1,8,1,12,1,24,1,9,1,12,1,9,1,8,1,6,1,28,1,30,1,28,1,6,1,13,1,17,1,9,1,13,1,28,1,30,1,7,1,9,1,24,1,30,1,28,6,30,2,28,9,29,1,28,29,6,1,13,1,17,1,13,1,28,9,}, {28,3,6,2,10,1,8,1,9,1,13,1,6,2,29,1,6,3,7,1,13,1,6,1,28,1,6,1,30,2,6,1,30,1,29,1,6,1,30,1,6,1,13,1,7,1,13,1,6,5,13,1,8,1,9,1,10,1,8,1,24,1,13,1,24,1,8,1,12,1,11,1,12,1,17,3,13,1,24,1,9,1,29,1,28,10,13,1,14,1,13,1,28,5,30,1,6,1,7,1,30,1,29,1,30,1,29,1,28,9,29,1,13,1,15,1,6,1,28,45,30,1,28,3,6,1,10,1,7,1,29,1,28,3,30,1,24,1,8,1,6,1,30,2,6,1,30,1,29,1,13,1,6,1,13,1,30,1,29,1,28,7,6,1,13,1,29,2,28,5,13,1,8,1,24,1,8,1,13,1,6,2,8,1,7,1,8,2,24,1,6,2,24,1,9,2,6,1,7,1,6,1,24,2,6,1,28,29,30,1,28,3,29,1,28,1,6,1,30,1,6,2,8,1,12,1,8,1,6,1,28,4,30,1,14,1,24,1,9,2,24,1,8,2,9,1,24,1,8,1,24,1,6,2,30,1,7,2,29,2,6,1,13,1,8,1,24,2,8,1,10,1,17,6,13,1,30,1,28,49,30,1,29,1,6,1,13,2,9,1,11,4,17,1,16,1,9,2,16,2,11,1,8,1,13,1,30,1,13,1,30,1,28,34,30,3,28,5,30,1,28,4,30,1,28,1,30,1,6,1,30,1,13,3,9,1,13,1,9,2,11,2,16,4,11,1,13,1,6,1,7,1,13,2,9,1,11,4,16,1,9,1,11,1,9,2,16,1,11,1,10,1,11,4,16,1,11,4,10,1,11,3,16,1,11,7,9,3,11,1,10,1,9,2,13,1,9,2,13,1,9,2,8,1,13,6,8,1,13,4,6,1,13,2,6,2,30,1,28,23,7,1,30,1,29,1,28,2,6,1,29,1,28,6,30,1,28,52,8,1,16,1,11,2,17,1,16,1,11,1,17,1,9,1,11,2,9,3,13,2,8,1,13,2,7,1,30,1,7,1,13,1,6,3,28,1,29,2,28,1,6,1,28,1,6,1,28,4,30,1,28,25,30,1,28,32,6,2,13,2,28,6,30,2,6,2,30,1,13,1,30,1,6,1,28,11,6,2,9,1,13,3,9,3,28,2,6,1,13,1,6,1,28,5,13,1,9,4,6,1,28,10,13,1,11,2,13,2,9,1,30,1,6,1,8,1,11,1,13,2,8,1,13,3,8,1,13,1,9,1,13,1,9,2,11,1,13,1,16,2,13,1,16,1,13,6,8,2,11,1,17,1,16,1,9,1,11,1,10,1,13,3,9,1,8,1,11,1,16,1,17,3,11,1,17,1,16,6,11,1,9,1,16,1,11,1,16,1,17,1,11,1,9,3,11,1,9,1,8,2,13,1,8,2,13,1,6,1,13,2,6,1,13,3,29,2,30,1,13,2,30,1,6,1,30,1,13,1,6,1,13,2,30,1,13,1,6,1,30,1,13,1,6,1,13,2,9,1,6,1,13,2,6,4,30,1,13,5,9,1,13,4,30,1,13,4,8,1,9,2,13,1,9,1,13,1,9,2,13,1,30,1,9,1,13,1,9,1,13,1,8,1,13,2,9,1,13,1,8,1,13,1,9,4,13,1,9,1,13,2,9,3,11,1,13,1,9,3,13,1,9,1,8,1,10,1,8,1,9,2,13,1,9,1,11,2,17,1,16,3,13,1,28,10,30,5,6,2,30,1,28,3,13,1,9,1,13,1,7,1,6,1,13,11,6,4,13,1,9,1,13,3,6,1,7,1,6,2,7,1,13,1,28,1,7,1,30,1,13,1,6,1,7,1,6,1,13,1,6,2,13,1,6,1,30,1,6,1,13,2,29,1,7,1,13,1,6,2,7,1,6,1,13,1,7,1,6,2,30,1,13,1,6,2,13,1,29,2,30,1,6,6,13,1,6,1,13,1,30,1,13,1,6,7,13,1,7,1,13,1,6,1,13,2,6,1,13,1,6,3,13,1,6,4,7,1,6,3,7,1,6,1,13,1,6,1,13,1,6,1,30,1,13,1,7,1,30,1,6,2,30,1,6,1,7,1,29,1,6,2,30,2,28,1,6,3,30,1,6,2,30,7,29,1,30,3,28,2,6,1,9,1,28,2,30,1,28,1,30,4,28,1,30,3,28,1,30,10,28,1,30,1,28,1,30,2,28,1,30,9,6,1,30,6,29,1,6,1,30,1,29,1,30,1,29,1,28,1,30,1,28,2,30,1,28,1,30,10,6,1,28,2,30,2,28,2,6,1,30,2,6,1,30,3,6,2,30,1,6,1,30,2,6,2,28,1,6,2,7,1,6,1,30,1,6,1,13,1,30,1,29,1,6,6,13,1,6,2,7,1,6,1,29,1,13,1,6,2,30,1,6,2,30,3,6,3,28,1,30,2,6,1,30,1,6,1,30,2,13,1,28,1,30,2,6,1,30,2,29,1,6,3,30,3,6,1,28,1,29,1,6,3,28,1,6,1,30,1,6,1,29,1,6,1,13,1,29,1,6,2,13,1,6,1,13,1,7,1,13,1,30,1,6,3,13,1,30,1,7,1,13,1,7,2,6,1,13,1,6,5,30,1,6,1,29,1,7,1,6,1,30,2,6,1,30,1,7,1,29,1,6,1,30,2,29,1,6,1,29,1,6,1,30,1,6,2,30,2,7,1,30,1,13,1,28,1,13,1,30,2,6,1,13,1,7,1,6,2,7,1,30,1,13,1,28,1,6,1,30,1,6,8,13,1,6,1,30,1,7,1,6,2,13,2,6,1,30,1,6,3,30,1,6,1,29,1,6,1,13,1,6,3,7,1,6,2,13,1,11,1,13,1,6,1,7,1,13,2,6,1,13,1,7,1,13,1,6,3,13,1,6,2,13,1,6,1,13,1,6,1,13,1,7,1,6,1,13,1,6,2,30,2,6,1,28,1,6,1,13,1,7,2,6,1,7,1,6,1,13,2,6,3,13,1,29,1,6,3,13,2,6,1,13,1,6,1,13,2,6,1,13,1,6,2,13,1,6,1,13,3,6,1,13,8,6,1,13,1,6,1,13,2,6,1,7,1,13,2,6,1,13,3,6,1,13,1,7,1,13,1,7,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,6,2,13,1,6,2,7,1,13,1,6,2,13,3,7,1,6,3,13,1,29,1,13,2,6,2,13,4,6,1,13,1,28,1,6,1,13,1,6,1,7,1,13,7,6,1,13,1,9,1,13,1,28,2,30,1,28,1,29,1,28,1,30,1,7,1,29,1,13,1,6,2,11,1,28,2,30,1,13,1,28,11,6,1,13,2,28,22,30,2,28,1,30,1,8,5,24,2,10,1,8,1,24,1,13,1,24,3,8,1,24,1,25,1,8,2,24,1,8,1,12,1,8,1,12,1,10,2,12,2,10,1,17,1,10,1,12,1,10,1,17,1,10,1,9,1,17,1,10,1,12,1,17,1,9,3,17,1,24,1,9,1,17,1,10,1,12,1,10,3,9,1,12,1,24,1,10,1,24,3,9,1,24,1,9,1,13,1,7,1,8,2,10,1,24,1,9,1,24,2,12,1,24,2,8,1,12,1,24,2,12,1,17,1,10,1,12,2,17,2,12,1,17,2,10,1,12,1,17,1,12,2,17,1,12,2,17,1,10,1,17,1,11,1,12,1,17,2,12,1,17,1,12,1,17,3,12,1,17,1,8,1,13,1,6,1,13,2,6,1,30,1,6,4,13,4,30,4,6,2,13,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,1,6,2,30,1,6,1,30,2,6,1,30,1,6,4,30,2,29,1,30,1,29,1,30,3,6,1,30,1,13,1,6,3,13,3,6,2,13,2,30,1,13,1,30,1,13,2,6,1,8,1,13,1,6,2,13,1,7,1,13,1,7,2,28,1,29,1,28,5,30,2,29,2,28,6,29,3,6,3,30,1,29,1,30,1,29,1,6,1,29,1,28,9,30,1,28,1,30,1,6,1,28,1,8,1,29,1,6,1,30,1,6,1,8,1,6,1,8,2,13,1,10,1,8,1,12,1,8,1,24,1,10,2,9,1,10,1,12,1,10,1,12,1,9,1,10,1,13,1,8,1,24,1,9,2,10,1,24,1,11,1,12,1,11,1,17,6,8,1,13,1,9,1,13,4,6,1,13,7,8,1,13,3,8,1,11,1,24,1,6,2,30,2,29,2,30,2,6,1,28,1,29,3,30,1,28,1,29,1,28,4,30,1,28,1,30,4,29,1,7,1,29,1,30,1,27,1,25,2,8,1,29,1,8,1,26,1,25,1,24,1,7,1,24,1,8,1,13,1,8,1,24,1,10,1,13,1,24,1,12,1,24,3,7,1,24,2,8,1,24,1,8,1,13,1,8,1,24,1,13,1,8,1,25,1,8,1,24,1,8,1,24,1,12,1,10,2,12,1,24,1,10,1,12,1,9,1,17,1,11,1,12,1,17,1,11,1,17,1,12,2,17,3,12,1,17,3,9,1,17,1,9,1,13,5,9,1,13,1,8,1,6,1,29,1,6,1,30,1,12,1,17,1,16,1,17,2,11,2,17,2,12,2,10,1,17,1,9,1,12,2,9,1,10,2,9,2,24,1,10,1,24,1,8,1,10,3,13,1,24,1,12,1,10,1,8,1,10,1,12,1,10,2,24,1,10,1,8,1,10,1,24,1,8,1,13,1,7,1,10,1,8,2,6,1,8,1,24,1,8,1,7,1,8,2,24,2,9,1,8,1,24,1,10,1,8,1,10,1,24,1,8,1,24,1,8,1,7,1,9,1,10,1,24,1,12,2,24,1,12,2,24,1,10,2,24,1,8,1,24,1,8,1,10,1,24,2,10,1,8,1,10,1,24,1,10,1,12,1,9,1,24,1,12,1,24,1,8,1,10,1,8,1,12,1,24,2,13,1,24,1,9,1,8,1,13,1,8,2,24,1,13,1,10,1,24,1,8,1,24,1,13,1,24,1,8,6,24,1,8,1,12,1,9,2,24,1,17,1,8,1,9,1,8,1,24,1,12,1,9,1,8,1,12,1,9,1,12,2,8,1,17,1,10,1,17,1,11,1,9,1,13,1,9,2,8,1,13,5,9,1,6,1,13,1,9,1,13,1,9,5,11,1,9,3,10,1,11,1,9,2,13,3,8,1,13,3,11,1,13,1,9,3,13,1,9,1,11,1,9,1,7,1,9,2,13,2,30,1,28,2,6,1,29,1,13,1,30,1,29,1,28,1,29,1,28,8,30,1,28,9,30,1,28,24,30,1,9,1,6,1,7,1,28,8,30,1,28,4,6,1,17,2,12,1,10,1,8,1,13,1,8,1,29,1,30,1,29,2,6,1,29,3,13,1,30,1,6,1,13,1,8,2,9,2,16,1,17,2,12,1,13,1,28,5,30,1,28,1,13,1,10,1,24,1,13,1,30,1,28,35,13,1,24,2,7,1,6,2,24,1,15,1,10,1,12,1,6,1,13,1,6,1,7,2,8,1,24,1,9,1,17,1,16,1,10,1,8,1,13,1,28,1,29,1,28,1,30,1,6,1,17,1,11,1,8,1,28,2,29,1,6,2,7,1,13,1,8,1,24,1,10,1,12,1,14,1,9,1,11,1,6,1,30,2,28,1,30,1,9,1,17,2,29,1,28,2,30,1,24,1,9,1,30,1,28,47,7,1,11,1,12,1,8,1,28,9,}, {28,1,30,1,9,1,13,1,8,1,24,1,29,1,6,1,29,1,28,1,30,1,6,1,7,1,6,2,30,1,28,2,29,1,30,1,28,1,6,1,28,1,30,1,13,1,7,1,28,1,13,2,28,1,6,1,30,1,28,1,30,1,6,1,7,2,29,1,7,1,13,2,10,1,9,1,13,2,9,1,10,1,11,1,17,3,9,1,24,1,9,1,13,1,28,9,6,1,7,1,9,1,8,1,28,6,13,1,15,1,13,1,29,1,6,1,28,11,13,2,29,1,28,45,6,1,28,3,13,1,15,1,29,1,6,1,28,3,30,1,8,1,13,1,6,1,28,3,13,1,29,1,6,3,13,1,28,7,30,1,29,1,8,1,13,1,7,1,28,5,8,1,12,1,24,1,8,1,6,1,13,1,29,1,6,3,8,2,24,1,8,2,24,3,6,1,13,2,6,1,7,1,28,33,6,2,28,1,6,1,8,1,6,1,8,1,15,1,8,1,29,1,30,1,28,4,15,1,24,1,15,1,10,1,9,1,24,1,10,1,9,1,8,1,9,1,8,1,29,1,6,3,13,1,29,1,6,1,7,1,6,2,8,2,13,1,17,7,24,1,30,1,28,44,6,1,30,3,6,1,9,1,8,1,9,1,11,2,16,3,11,2,16,1,8,1,13,1,7,1,13,1,10,1,8,1,9,1,13,1,30,2,28,1,30,1,28,28,30,1,28,1,30,2,28,2,30,1,28,1,6,1,30,1,28,1,6,1,30,3,7,1,13,3,9,1,13,1,8,1,9,1,11,3,16,1,11,3,16,7,13,1,8,2,13,1,11,1,16,1,11,1,16,4,11,2,16,1,11,1,9,1,11,1,16,2,11,4,10,2,11,5,10,1,11,1,16,2,9,1,16,1,11,4,10,1,9,4,10,1,9,2,13,1,9,2,7,1,8,1,13,4,8,1,13,1,8,2,7,1,13,2,6,1,7,1,30,1,29,1,28,24,29,1,30,1,28,1,30,1,28,1,30,1,28,59,6,1,8,1,16,1,17,1,16,1,17,2,16,2,10,1,9,1,11,1,8,1,9,1,8,2,13,1,9,1,7,1,13,1,6,1,13,1,8,1,29,1,13,1,6,1,13,1,29,1,6,1,28,36,6,1,28,32,13,1,30,1,13,1,28,6,30,1,6,1,30,1,6,1,13,1,30,1,13,2,30,1,28,11,30,1,13,2,9,1,13,1,9,1,8,1,9,1,13,1,28,2,6,1,13,1,28,5,6,1,9,5,13,1,30,1,28,9,30,1,9,1,11,2,13,2,6,1,13,2,9,3,13,2,8,1,13,3,9,1,13,1,16,1,9,1,13,1,9,2,6,2,30,1,13,1,30,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,9,1,17,1,16,1,11,2,9,2,13,1,8,2,11,1,16,1,17,3,16,2,17,2,16,1,17,1,16,1,11,5,9,2,16,1,9,1,11,1,8,1,9,1,8,1,9,1,7,1,13,1,30,1,6,2,30,2,28,4,6,2,30,1,6,1,28,1,30,1,6,1,30,3,6,1,28,2,6,2,13,1,6,1,13,1,6,1,13,3,7,1,13,3,6,1,13,2,30,1,13,2,30,1,13,1,7,1,13,2,30,1,13,1,6,1,13,2,8,1,13,7,9,1,13,2,6,1,29,1,9,1,8,1,13,1,6,1,9,4,13,3,9,2,13,1,16,1,9,2,13,1,10,1,9,1,8,1,9,3,11,1,9,4,8,1,9,4,11,1,9,1,16,2,9,1,11,2,13,1,28,7,30,1,28,1,30,4,29,1,6,2,30,1,13,1,9,1,7,1,13,3,6,1,13,4,6,1,13,7,7,1,13,2,6,1,7,1,13,1,6,1,13,3,6,5,13,1,30,1,6,2,29,1,6,1,28,1,7,1,30,1,6,4,30,1,13,2,6,1,30,2,6,1,30,3,6,3,7,2,30,1,6,3,30,2,29,1,6,1,13,1,6,1,13,1,30,1,6,1,29,1,6,2,29,1,13,1,6,1,30,1,6,3,13,1,6,2,13,1,30,1,6,2,30,3,6,1,28,1,30,1,13,1,6,2,30,1,7,1,30,1,7,1,6,2,13,1,6,2,7,1,6,2,7,1,6,2,13,1,6,2,29,1,13,1,30,2,6,5,30,4,28,3,30,1,6,1,30,2,28,1,30,1,29,1,30,4,28,1,6,1,30,1,13,2,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,3,6,1,30,6,28,1,6,2,28,1,30,1,29,1,28,1,6,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,28,1,6,1,30,1,6,1,29,1,6,1,30,5,28,1,30,1,6,1,30,4,28,1,30,9,28,2,30,1,28,1,7,1,28,3,30,1,6,1,28,1,30,1,6,1,28,1,29,1,30,1,28,1,6,1,30,1,6,1,30,1,6,2,30,1,29,1,30,1,6,2,30,1,6,1,30,2,13,1,6,2,30,1,7,1,30,2,6,1,30,1,6,2,28,1,6,1,28,2,6,1,28,2,6,1,28,2,30,1,6,1,30,1,28,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,7,28,1,30,1,28,1,6,3,29,1,30,4,28,2,30,1,7,1,13,1,6,1,30,1,6,2,13,1,30,1,6,2,30,1,6,3,29,1,30,1,6,2,13,1,6,5,30,1,6,3,30,1,6,1,29,1,30,1,6,1,28,1,6,1,28,1,6,1,30,1,28,1,6,2,30,4,6,1,30,1,6,1,29,1,28,1,6,3,13,2,30,1,6,1,13,1,30,1,6,1,29,1,30,2,6,1,7,1,6,1,13,1,30,1,6,5,30,1,6,1,30,1,6,1,7,2,29,1,6,2,13,1,6,1,29,1,7,1,6,1,13,1,7,1,6,7,30,1,6,3,8,1,9,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,2,30,1,7,1,6,3,13,2,30,1,29,1,6,2,30,1,6,4,13,1,29,1,13,1,29,1,6,1,30,1,6,5,7,1,6,1,13,1,6,1,7,1,6,1,13,2,7,1,6,3,13,2,7,1,6,1,13,2,6,2,13,1,6,2,7,1,13,1,6,1,13,1,7,1,13,3,29,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,13,6,6,1,13,2,6,1,8,1,13,1,6,1,13,6,7,1,13,1,6,1,13,1,7,1,6,2,13,2,30,1,13,1,6,1,13,2,6,1,30,1,13,2,7,1,6,1,13,1,30,1,13,2,7,1,6,1,7,1,6,2,13,1,6,1,13,3,6,1,13,4,6,2,7,1,8,1,10,1,9,1,30,2,7,2,13,1,6,3,28,1,6,2,7,1,28,3,10,1,28,11,6,1,8,1,13,1,28,26,29,1,7,2,8,1,10,1,24,1,13,1,10,1,24,3,6,1,13,1,7,1,8,1,6,1,25,4,8,1,10,1,24,1,8,2,10,1,13,1,12,2,10,1,24,1,12,2,11,1,12,1,17,1,12,2,10,1,9,2,10,3,9,1,24,1,10,1,24,1,10,1,9,1,17,1,9,1,8,1,10,1,24,1,12,1,8,1,24,1,9,1,8,1,24,1,10,1,8,1,9,1,8,3,12,1,8,1,7,1,10,1,8,1,24,1,8,2,10,1,24,2,10,1,24,1,12,2,10,1,12,2,17,1,24,1,12,1,17,2,12,1,17,2,12,1,17,1,12,1,17,14,9,2,8,1,13,2,6,4,30,1,13,1,6,1,13,2,7,1,6,1,30,1,6,2,30,1,13,1,30,2,6,3,30,2,6,1,30,1,6,1,30,2,6,1,30,1,6,1,28,1,30,1,6,5,30,1,6,1,28,1,6,1,30,1,28,1,30,3,6,5,13,1,6,1,29,1,6,2,7,1,6,1,30,1,7,1,6,2,13,1,6,1,13,1,9,1,6,1,29,1,13,1,6,1,13,1,7,1,6,2,28,9,7,1,28,7,29,1,28,1,29,1,6,2,29,1,30,1,29,1,30,1,28,1,6,1,28,1,30,1,28,2,29,1,28,1,30,2,28,2,30,2,28,3,6,1,29,1,6,1,13,1,6,1,13,1,8,1,7,1,24,1,8,1,24,3,8,2,17,1,10,2,13,1,12,1,24,1,12,1,24,1,10,1,13,1,8,2,13,1,24,3,9,1,11,1,10,1,17,3,12,1,17,2,8,1,6,1,13,1,6,1,13,10,6,1,13,5,12,2,6,2,30,1,6,1,29,1,6,1,29,1,6,2,30,1,29,1,28,2,29,1,6,1,28,6,30,1,28,2,30,1,29,1,30,2,29,1,7,1,30,1,6,1,29,2,27,1,26,1,7,1,6,1,7,1,8,2,13,1,24,1,8,1,24,2,7,1,8,1,10,1,24,6,13,1,8,1,24,2,9,1,25,1,24,1,25,2,8,1,24,1,10,1,24,1,7,1,10,1,24,1,12,1,17,2,9,1,12,1,11,1,9,1,12,1,9,1,10,1,17,2,12,2,17,1,12,1,11,1,17,1,12,2,17,1,12,1,11,2,9,1,6,1,9,1,8,1,9,1,8,1,29,1,8,1,13,2,8,1,11,1,17,3,12,1,17,2,12,1,17,4,12,1,24,1,11,1,12,1,9,1,17,1,8,1,10,1,12,1,8,1,24,1,10,2,8,1,9,1,12,1,9,1,17,1,10,1,8,1,9,1,24,1,10,1,9,1,24,1,9,1,8,1,12,1,24,1,13,1,10,1,24,1,7,1,24,1,10,1,8,1,12,2,13,1,8,2,10,1,9,1,8,1,24,1,13,1,8,2,24,4,8,2,17,1,10,1,24,2,8,1,12,1,24,2,12,1,24,1,8,1,24,3,8,1,13,1,17,1,24,1,8,1,24,1,8,1,10,1,7,1,24,1,13,2,8,1,24,1,8,1,24,1,9,1,8,2,24,1,13,1,24,2,13,1,10,1,24,2,13,1,10,1,8,1,10,1,24,1,13,1,10,1,8,1,13,1,8,3,7,1,10,1,24,2,8,2,10,1,8,1,9,1,8,1,24,1,12,1,17,1,9,1,17,1,9,1,10,2,12,1,11,1,9,1,11,1,10,1,17,1,12,1,17,1,9,1,10,1,9,1,8,1,9,2,13,1,8,1,13,1,8,1,13,1,8,1,9,2,11,1,13,1,9,1,13,1,9,1,13,1,9,3,11,1,13,1,11,1,13,1,9,1,13,1,9,1,8,1,9,1,13,2,8,1,13,1,9,2,13,1,11,1,10,1,9,1,11,1,9,2,11,1,10,1,13,1,8,1,9,1,13,1,9,2,7,1,28,1,6,1,29,2,28,4,30,1,28,1,30,1,28,10,30,1,28,1,30,2,6,1,30,1,28,2,30,1,28,19,6,1,13,1,9,1,28,14,13,1,17,1,12,1,17,1,9,2,24,1,13,1,29,2,6,1,30,1,6,3,29,1,6,2,29,1,7,1,9,1,10,1,9,1,16,1,17,1,10,1,17,1,11,1,8,1,28,7,13,1,10,1,8,1,7,1,28,36,8,1,9,1,10,1,6,3,24,1,14,2,9,1,15,1,10,1,7,2,13,2,9,2,11,2,16,1,11,1,30,1,28,1,29,1,28,1,29,1,13,1,12,1,11,1,9,1,28,1,30,2,6,1,29,1,6,1,24,2,9,1,14,1,17,1,8,2,12,1,6,2,29,1,7,2,8,1,9,2,7,1,28,2,7,1,9,1,7,1,6,1,28,9,30,1,28,37,13,1,9,1,10,2,28,9,}, {6,1,13,2,8,1,6,1,7,1,29,1,30,1,7,1,8,1,28,1,13,1,6,1,30,1,28,1,6,1,28,2,30,1,29,1,30,3,6,1,13,1,29,1,7,1,6,2,29,1,30,1,6,1,30,1,6,1,29,1,6,2,8,1,30,1,9,1,8,1,13,1,8,1,13,1,8,2,9,1,12,2,17,1,11,1,9,1,8,1,6,1,30,1,28,10,6,1,11,1,8,1,29,1,28,4,30,1,29,1,24,1,13,2,28,12,8,1,24,1,13,1,28,47,29,1,28,1,8,2,7,1,28,4,30,1,7,1,24,1,6,3,30,1,6,2,13,1,6,2,28,1,6,1,28,7,6,1,7,1,8,1,7,1,30,1,28,4,13,1,17,1,24,1,8,1,13,1,6,2,7,1,6,1,24,1,7,1,8,1,24,3,12,2,13,3,6,1,13,2,28,35,6,3,8,1,9,1,10,1,9,1,13,1,30,1,28,3,30,1,12,1,17,1,12,1,9,3,8,1,24,2,13,2,7,1,13,1,6,2,9,1,30,2,6,1,13,1,7,1,8,3,9,1,17,6,9,1,28,41,30,1,6,1,29,1,30,2,28,1,13,1,9,2,8,1,9,1,11,1,16,4,11,1,9,1,13,4,11,2,9,2,8,1,6,1,13,1,28,1,30,1,28,20,30,1,28,4,29,1,28,1,30,1,28,1,30,2,6,3,28,1,6,1,30,2,13,1,8,1,9,2,13,1,9,1,11,1,9,3,16,1,9,1,11,3,16,1,9,1,11,2,16,6,17,1,9,1,11,1,13,3,9,1,11,5,10,1,9,1,16,2,11,1,16,1,10,1,16,1,10,1,16,2,11,1,9,1,11,4,9,1,10,1,11,1,16,1,9,1,11,2,10,1,11,2,9,2,10,2,9,7,13,4,8,1,9,1,13,1,8,1,13,1,8,1,13,2,8,1,13,2,7,1,13,1,29,1,30,2,28,33,30,3,28,53,6,1,12,1,9,1,16,1,11,1,17,1,11,1,16,1,10,1,11,1,9,1,11,1,13,1,9,2,13,1,8,1,24,1,8,1,9,1,8,1,13,1,8,1,6,1,7,1,13,1,30,1,29,1,30,2,28,2,30,1,28,33,13,1,28,31,13,2,30,1,6,1,28,6,6,3,13,1,6,1,13,1,30,1,6,1,28,13,13,3,9,2,13,1,9,2,28,2,30,1,13,2,28,5,9,1,11,1,10,1,9,1,13,2,28,11,13,1,9,1,11,1,9,1,13,1,6,3,13,3,9,1,13,1,9,1,13,1,9,1,13,2,9,1,11,1,13,1,8,2,13,1,6,1,13,2,30,1,13,5,7,1,8,1,13,1,8,1,9,2,16,1,13,1,11,1,9,1,8,1,9,2,11,1,16,1,17,3,11,4,16,1,11,2,16,1,9,1,16,1,9,1,17,1,11,2,8,1,9,1,13,1,9,1,6,1,13,1,6,1,30,4,28,1,30,1,28,1,6,4,13,1,6,2,30,1,6,2,7,1,28,1,6,1,30,1,13,1,30,1,13,1,6,3,13,2,6,2,13,1,30,1,13,1,7,1,9,1,13,3,6,1,13,1,30,1,13,1,6,2,13,1,30,1,13,1,9,1,6,1,13,1,6,1,13,1,9,1,6,1,13,2,9,2,13,3,9,1,13,1,9,2,13,4,9,1,8,1,13,2,9,3,13,1,9,6,10,1,9,1,10,1,11,1,9,1,11,1,9,2,8,1,9,5,16,1,11,4,16,2,8,1,6,1,28,6,30,1,28,2,6,1,30,1,6,1,30,1,28,1,30,1,13,2,8,1,6,1,13,3,6,1,7,1,13,1,6,1,13,9,6,1,7,1,13,2,6,1,7,1,6,1,13,2,6,1,13,2,6,4,30,1,7,2,6,1,13,1,30,1,6,3,13,1,6,1,28,1,13,1,6,1,30,1,6,3,30,3,6,2,30,1,13,1,6,3,30,2,29,1,28,1,30,2,6,1,30,8,6,1,7,1,6,1,30,3,29,1,30,2,28,2,30,2,29,1,30,1,28,1,6,2,30,3,6,1,28,1,6,3,30,1,29,1,6,3,30,1,6,1,13,1,30,1,6,2,13,1,30,1,6,1,28,2,6,2,30,1,6,1,13,1,6,6,30,1,6,1,30,2,29,1,30,4,6,2,30,3,6,1,29,1,30,4,9,1,13,1,30,1,28,1,30,1,28,2,30,2,28,2,6,1,28,1,30,1,29,1,30,2,28,1,30,1,28,3,30,1,28,1,30,1,28,1,30,2,6,1,28,1,29,1,30,1,6,1,30,6,6,1,30,1,28,1,30,5,6,1,30,2,6,1,30,3,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,1,30,3,28,2,30,1,28,1,30,3,6,1,30,2,28,1,30,2,6,1,30,1,6,1,30,4,28,2,30,1,29,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,3,6,1,30,2,6,1,28,2,30,1,6,1,30,3,6,1,30,2,6,1,28,1,30,2,28,1,6,1,30,3,28,1,30,1,28,1,6,1,30,1,28,1,30,3,28,1,30,6,28,1,30,6,6,1,30,2,28,1,30,4,28,1,30,1,17,1,11,1,7,1,30,1,28,1,6,2,28,2,30,8,28,1,7,2,30,2,6,1,30,1,28,1,6,1,30,1,6,1,28,1,6,1,28,1,30,4,6,2,30,3,28,1,30,2,28,1,30,2,28,1,6,1,30,3,6,1,28,1,6,2,30,1,6,1,29,1,6,5,30,1,6,1,30,1,6,3,30,1,6,1,13,1,6,4,7,1,6,4,13,1,30,1,6,4,30,1,6,1,13,2,7,1,6,1,30,1,6,1,30,1,6,3,13,1,10,1,13,1,7,1,6,2,30,1,13,4,7,1,6,3,29,1,13,1,6,2,13,1,30,1,6,1,13,1,30,1,6,3,13,1,30,2,6,4,13,1,7,1,13,5,8,1,13,1,6,1,7,1,13,2,6,1,13,1,6,1,13,1,30,1,13,1,6,2,13,1,6,4,13,1,6,1,7,1,13,2,6,1,7,1,13,2,6,1,13,2,29,1,6,1,7,1,13,1,6,2,13,2,7,1,6,1,13,2,6,2,13,2,6,2,13,1,6,1,13,1,6,1,7,2,30,1,13,1,30,1,6,1,7,1,6,3,13,1,6,2,13,1,30,1,13,1,6,7,13,1,6,2,30,1,6,1,13,1,6,2,30,1,6,2,13,1,6,3,13,1,6,1,13,1,6,1,13,2,6,1,7,1,6,1,13,1,9,1,8,1,12,1,13,2,6,1,29,1,28,3,29,1,13,1,7,1,28,3,9,1,28,12,17,1,28,25,29,1,28,2,29,1,6,1,8,2,13,1,10,1,13,3,6,1,7,1,6,1,7,1,29,1,6,2,25,1,6,1,25,1,6,1,13,1,8,1,24,1,12,1,9,1,10,1,9,1,12,2,10,1,24,1,10,2,12,1,9,2,10,1,12,1,9,3,24,3,13,1,12,1,10,1,13,1,24,1,12,1,24,1,9,1,8,1,12,3,9,1,24,2,8,1,7,1,9,1,24,2,8,1,9,1,24,3,13,1,24,1,6,1,24,1,9,1,8,2,24,1,9,1,12,2,9,1,12,1,9,1,12,1,17,3,12,1,17,9,11,1,17,3,12,1,17,6,8,1,28,1,6,1,13,1,6,2,30,3,6,1,30,2,8,1,13,1,6,1,30,2,6,1,30,1,6,1,30,2,6,1,30,2,6,1,30,2,6,1,28,1,30,1,28,1,30,5,28,1,6,1,13,1,7,1,13,1,30,1,13,1,30,1,28,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,29,1,30,1,6,1,30,2,29,2,13,1,6,1,30,2,6,2,13,1,7,1,6,4,13,5,6,1,7,1,6,2,28,9,30,2,28,6,29,2,30,3,6,1,29,3,28,1,6,1,28,1,30,3,28,2,29,1,28,2,30,1,28,4,29,1,7,1,6,1,13,2,7,1,6,1,8,2,10,1,13,1,10,2,9,1,8,1,9,1,8,1,12,1,13,1,9,1,8,1,24,1,13,2,8,4,24,2,10,1,24,1,10,1,12,1,17,2,12,1,17,3,11,1,13,2,6,1,13,1,30,2,13,4,6,1,13,3,7,1,6,1,13,4,8,1,10,1,13,1,6,2,30,1,29,1,30,1,28,1,30,3,6,2,28,1,29,1,28,1,29,1,28,4,30,1,29,1,28,1,6,1,28,1,7,2,29,1,28,1,6,1,30,1,6,1,29,1,30,1,26,1,25,1,7,1,6,1,8,1,24,1,13,1,7,1,8,2,13,1,8,3,24,2,8,1,10,1,24,1,8,2,13,2,24,1,8,1,13,1,10,1,6,1,25,1,8,2,24,1,8,1,12,2,24,1,12,2,9,1,10,1,9,1,12,4,11,1,17,1,10,1,17,2,12,2,17,2,11,1,17,1,12,2,17,4,9,1,8,1,9,1,13,3,9,1,13,1,8,1,12,1,17,5,12,1,17,1,12,5,17,1,12,1,10,1,12,1,10,2,24,1,12,1,24,1,10,1,24,2,10,1,12,1,9,1,12,1,8,1,24,1,8,1,17,1,24,3,13,1,8,1,24,1,13,1,24,1,8,2,13,1,24,4,8,1,10,1,13,1,8,1,12,1,24,1,8,1,24,1,8,1,24,1,8,1,24,1,8,2,13,1,8,2,10,2,24,3,6,1,24,1,8,1,24,1,8,2,13,1,10,1,12,1,24,1,10,1,12,1,8,1,12,1,13,1,10,1,24,2,9,1,10,1,8,2,10,1,24,1,13,1,10,2,24,2,8,1,13,1,8,1,13,1,12,1,17,1,9,1,10,1,24,3,7,1,24,1,12,1,24,2,13,1,24,1,7,1,13,1,12,1,24,1,8,1,24,1,12,1,10,1,24,1,8,1,24,1,8,1,12,1,8,1,12,1,17,1,24,1,12,2,11,2,9,1,10,1,17,1,12,1,10,1,8,1,9,1,10,1,9,1,8,1,13,1,9,2,13,1,11,1,9,1,13,1,9,1,8,1,13,1,9,2,6,1,13,2,8,1,11,1,13,1,17,1,9,1,16,1,13,1,9,1,11,1,9,1,11,1,8,1,13,1,9,1,13,1,9,1,13,2,8,2,11,1,9,1,11,1,9,3,13,1,9,1,13,1,7,1,13,2,6,1,7,1,6,1,13,1,28,2,30,1,28,1,30,3,28,15,13,1,28,1,29,1,28,1,29,1,30,1,28,23,8,1,11,1,7,1,28,13,12,1,17,1,12,2,10,1,12,1,8,1,9,1,6,3,28,1,6,1,29,1,6,1,30,1,8,1,7,1,6,1,13,1,8,1,9,2,16,1,11,2,16,1,17,1,13,1,28,3,30,1,28,3,6,1,9,1,8,1,13,1,6,1,28,35,13,1,10,2,8,1,6,1,13,1,15,1,12,1,14,1,12,2,30,1,13,1,8,1,6,1,13,1,8,1,24,1,17,3,9,1,6,1,30,2,29,1,30,1,6,1,16,1,12,1,13,1,28,2,7,1,6,1,8,1,13,1,8,1,9,1,10,1,14,1,15,1,17,1,12,1,17,1,13,1,30,1,7,1,28,1,13,1,10,1,17,1,24,1,6,1,28,1,30,1,13,1,10,1,8,1,30,1,29,1,28,23,30,1,28,22,6,1,9,1,11,1,8,1,28,9,}, {13,1,6,1,13,1,8,1,6,1,7,1,30,1,7,1,6,1,28,2,29,1,30,1,28,4,30,1,6,1,28,1,13,1,6,1,13,1,7,1,8,1,13,1,29,2,30,1,6,1,28,1,6,1,29,1,7,1,6,1,7,1,13,1,8,1,13,3,8,2,13,1,8,1,10,1,11,1,12,1,17,2,10,1,7,1,24,1,8,1,30,1,28,9,30,1,6,1,12,1,13,1,29,1,28,5,8,3,29,1,28,1,29,1,28,9,29,1,8,1,9,1,13,1,29,1,28,46,6,1,28,1,12,1,24,1,8,1,6,1,28,4,13,1,24,1,13,1,30,2,6,2,13,1,6,1,13,1,30,1,6,1,30,1,28,7,6,1,8,1,24,1,7,1,28,1,30,1,28,2,29,1,8,1,15,1,11,2,13,1,28,1,13,1,7,1,6,1,8,1,13,1,8,2,13,1,8,1,9,1,24,1,8,1,13,2,7,1,13,1,6,1,28,33,30,2,6,2,7,1,8,1,24,1,9,1,24,1,6,1,13,1,28,4,24,1,10,1,17,1,9,1,8,1,24,1,7,1,6,1,8,1,6,1,7,1,8,1,30,1,13,1,6,2,29,2,30,1,8,1,6,1,8,1,24,1,12,2,17,6,9,1,28,30,30,1,28,7,30,1,6,1,13,1,30,2,13,3,9,5,11,2,17,1,11,1,9,2,13,4,7,1,9,1,11,1,9,1,11,1,13,2,6,1,30,2,28,21,30,1,28,1,6,1,30,1,6,1,13,1,30,1,6,2,13,5,9,2,11,1,9,1,11,2,16,2,17,1,16,8,17,1,10,1,16,1,11,1,16,2,17,1,16,3,11,2,16,1,9,1,11,1,13,2,9,1,16,1,11,4,16,1,11,3,16,1,11,1,16,3,11,1,16,2,11,3,16,1,11,1,10,1,16,1,10,1,11,1,16,1,11,1,17,1,11,3,9,1,16,1,11,1,9,8,13,3,8,1,13,8,6,1,13,1,7,2,6,2,30,2,28,34,30,2,28,53,13,1,11,1,16,2,11,1,16,3,17,2,11,1,10,1,9,1,8,1,9,1,8,2,13,3,6,1,13,2,30,1,6,2,29,1,28,1,30,1,28,2,30,1,28,34,13,1,6,1,28,30,13,1,30,1,6,1,30,1,28,6,30,1,6,2,13,1,6,1,13,1,30,1,6,1,30,1,28,12,30,1,13,2,9,1,13,1,9,2,13,2,28,2,30,1,6,1,30,1,28,5,13,1,9,1,11,1,9,2,13,1,6,1,28,10,13,1,9,2,11,1,9,1,13,3,16,1,9,1,13,6,8,1,9,1,13,1,11,1,13,2,6,3,28,1,7,1,30,1,6,4,7,1,9,1,13,3,9,3,8,1,9,1,11,1,8,1,11,3,10,1,17,3,11,1,16,1,11,1,16,3,11,1,16,1,9,1,11,3,9,1,13,1,8,1,13,3,28,1,6,2,30,1,13,1,6,1,30,1,29,1,6,1,28,1,29,1,6,1,30,3,13,1,6,1,30,4,6,2,30,1,6,1,30,1,28,1,29,1,6,1,13,1,30,1,13,2,6,2,7,1,13,1,29,1,13,2,6,1,30,1,6,2,13,1,6,1,13,1,6,1,13,1,8,1,13,2,6,1,13,3,8,3,13,2,6,1,13,1,9,4,13,2,8,1,13,2,9,3,6,1,9,2,13,1,8,1,9,2,8,1,9,3,8,1,9,2,13,1,11,1,13,1,11,1,8,1,9,2,11,1,9,2,11,1,9,1,11,2,10,1,16,1,11,1,9,1,13,1,28,7,30,1,28,1,6,1,28,1,30,1,28,1,6,1,28,1,6,1,13,4,7,1,13,2,6,1,13,1,7,1,13,1,7,1,13,1,6,1,13,5,7,2,6,1,7,1,6,1,7,1,6,3,28,1,13,1,6,3,29,1,6,2,30,1,28,1,30,1,13,1,30,3,28,1,30,3,28,1,30,1,6,1,29,1,30,4,6,2,30,2,6,1,30,13,28,1,30,1,6,1,30,1,6,3,30,3,28,1,30,1,6,1,30,5,29,1,30,3,28,1,30,2,6,1,30,5,6,1,30,1,6,1,29,1,6,4,30,1,13,1,30,1,29,1,6,1,13,1,29,1,6,2,30,1,6,1,30,1,6,3,13,1,6,3,30,1,6,1,30,1,6,3,30,2,6,1,30,2,6,1,30,1,29,1,6,1,30,1,28,1,30,1,28,1,30,3,9,1,6,1,30,2,28,1,30,1,28,1,6,1,30,2,29,1,30,5,28,1,30,4,29,1,28,1,30,12,29,1,30,5,6,1,30,1,6,1,30,3,6,1,30,8,6,2,28,1,30,1,28,3,30,6,28,1,30,1,28,1,30,5,28,1,30,6,28,2,30,1,28,2,30,1,28,2,6,1,28,1,29,1,28,2,30,6,6,2,30,2,28,1,30,4,28,1,30,1,28,1,6,1,30,3,28,1,30,2,28,1,29,1,28,2,30,3,28,2,30,1,29,1,30,1,28,1,30,2,28,1,30,3,6,1,30,1,28,1,6,1,30,1,28,1,30,3,28,1,6,1,28,1,30,2,28,1,30,1,28,1,30,1,9,2,6,1,29,1,30,9,28,1,30,1,28,1,30,2,28,1,30,1,6,1,30,1,13,1,6,1,30,1,6,1,28,7,30,3,28,1,30,1,28,1,30,2,6,1,28,2,30,4,6,1,29,1,28,1,6,1,30,1,6,1,30,2,6,1,30,2,28,1,30,1,29,1,6,2,30,1,6,1,29,1,6,1,30,1,6,2,30,3,6,2,30,1,6,1,29,1,13,1,6,1,30,1,6,1,30,1,7,1,6,3,30,2,7,1,6,1,30,1,6,1,28,1,13,1,6,3,13,1,16,1,13,1,6,1,13,1,6,1,13,1,8,1,13,2,7,1,30,1,29,1,6,2,30,1,7,1,30,1,28,1,13,1,6,1,30,1,6,1,30,4,6,1,30,1,6,1,13,1,6,1,13,6,9,1,13,2,8,1,6,1,13,8,6,1,13,2,7,1,13,1,6,4,13,1,6,1,7,1,13,1,7,2,13,2,6,1,30,1,6,3,29,1,6,2,30,1,6,3,13,1,7,1,13,1,6,1,30,1,13,2,7,1,6,3,13,1,6,1,13,1,7,1,6,1,13,2,30,1,6,1,7,1,13,1,30,1,6,1,30,1,7,1,30,1,6,7,29,1,6,1,30,1,6,2,13,1,6,3,13,1,6,1,30,1,13,1,6,3,13,1,6,1,13,1,6,1,7,2,13,2,6,1,30,1,13,1,29,1,6,1,13,1,9,2,8,1,29,1,28,3,30,1,6,1,13,2,7,1,28,3,13,1,28,11,11,1,13,1,28,26,29,2,13,1,6,1,8,1,24,2,13,1,7,1,30,1,6,1,28,1,30,1,29,1,28,1,30,3,6,1,7,1,29,1,8,1,13,1,24,1,8,1,24,1,12,2,9,1,10,1,12,1,13,1,12,1,24,1,9,1,24,1,12,1,24,1,17,1,9,2,24,1,9,1,8,1,24,1,7,1,12,1,24,1,10,1,8,1,24,1,12,1,13,1,12,1,10,1,8,2,9,2,12,1,8,1,24,1,10,1,8,1,24,1,10,1,24,2,13,1,24,1,8,2,24,2,13,1,8,1,24,1,8,3,10,1,8,1,12,5,10,1,12,1,17,3,12,1,17,5,12,1,17,10,13,1,29,1,6,1,13,2,6,1,28,1,30,3,28,6,6,1,30,1,28,2,30,1,28,2,30,2,28,1,30,2,6,1,30,1,28,1,30,6,6,1,30,2,6,3,13,1,6,3,30,4,29,1,30,3,13,1,30,1,28,1,30,1,6,3,7,1,30,1,29,1,6,1,30,1,6,5,9,2,13,2,8,1,29,1,6,1,7,1,29,1,28,1,30,1,28,14,30,1,6,1,30,1,28,1,6,1,29,1,28,3,30,2,28,1,29,1,28,1,30,2,28,6,30,1,28,2,30,1,29,1,28,1,6,1,7,1,6,1,24,1,7,1,8,1,13,1,8,1,24,2,13,1,24,1,8,1,9,1,24,1,10,2,13,1,24,2,13,1,24,1,8,1,13,1,10,1,9,1,24,1,8,2,10,1,24,1,10,1,17,5,16,1,9,1,6,1,13,2,7,3,13,2,7,1,13,12,9,1,24,1,6,1,30,2,7,1,29,1,6,1,29,1,30,1,29,3,30,1,29,1,30,2,29,2,28,3,29,1,28,2,30,1,28,1,30,1,29,1,30,1,28,1,29,1,28,1,6,2,25,1,30,1,8,1,7,3,24,1,8,1,7,1,13,1,8,2,24,1,12,2,8,1,13,1,8,1,24,1,8,1,10,1,24,1,13,1,24,1,8,2,24,2,10,1,8,1,7,1,24,3,8,1,13,1,9,1,10,2,9,1,24,1,17,2,12,1,11,1,17,1,12,1,11,1,12,2,17,2,12,1,17,1,12,1,17,1,11,1,17,1,12,1,17,1,11,1,17,1,11,1,9,1,6,3,13,2,10,1,17,6,10,1,11,2,17,2,12,2,9,1,17,2,11,1,10,1,17,2,24,3,12,1,8,1,9,1,8,2,10,2,9,1,24,1,9,1,24,2,8,1,12,1,8,2,24,4,10,1,9,1,24,1,12,1,24,2,8,2,24,1,9,1,24,1,8,1,24,2,8,3,24,1,9,1,10,1,8,2,12,1,8,1,24,1,13,1,24,1,7,1,8,3,24,1,8,2,24,1,8,1,13,1,12,1,10,1,24,1,7,1,6,1,12,1,13,1,12,1,7,1,12,1,24,1,10,1,8,1,24,3,10,1,8,1,24,2,6,1,8,1,12,1,24,1,10,1,9,1,24,2,8,1,24,2,10,1,13,2,10,1,13,1,8,1,24,3,8,1,12,1,7,1,8,1,9,1,24,1,8,2,24,1,9,1,24,1,13,1,10,2,24,1,17,1,12,2,10,1,17,1,9,1,17,2,9,1,12,1,13,1,9,1,10,1,13,1,8,1,9,1,8,1,9,1,8,4,13,1,6,1,13,3,9,1,8,1,9,1,13,3,9,3,13,1,11,1,9,2,11,1,9,1,13,1,11,1,9,1,13,1,9,1,11,1,6,1,13,5,8,1,9,2,13,2,8,1,29,1,13,2,28,1,6,2,28,17,6,1,28,6,6,1,28,6,30,1,28,7,6,1,28,11,9,1,6,1,28,12,29,1,8,1,17,2,11,1,17,1,10,1,24,2,13,2,6,1,29,1,6,3,29,1,6,2,13,2,8,1,9,2,17,1,9,1,16,1,12,1,8,1,13,1,28,7,13,1,24,1,9,1,7,1,28,36,13,1,15,1,8,1,13,1,6,1,13,1,12,1,14,1,17,1,12,2,9,1,6,2,7,2,9,1,8,1,17,1,12,1,11,1,8,1,6,1,28,1,6,1,29,1,30,1,8,1,11,1,17,1,6,2,30,1,28,1,7,1,8,1,13,1,9,3,17,2,9,1,17,1,12,1,6,1,29,1,6,3,17,3,13,1,28,1,30,1,29,1,15,1,8,1,28,1,30,1,28,46,13,1,17,1,11,1,8,1,28,9,}, {13,1,6,1,7,1,13,1,8,1,7,1,6,1,28,1,29,1,30,1,28,5,30,1,28,1,6,1,29,2,13,2,7,1,30,1,6,1,13,1,30,2,28,1,6,1,30,1,28,1,30,1,28,2,13,1,30,1,13,1,29,1,13,2,6,2,13,2,8,1,11,2,17,3,9,1,13,1,8,1,13,1,28,9,30,1,29,1,12,1,13,1,6,1,28,4,30,1,8,2,6,1,13,1,30,1,28,11,13,1,12,1,8,1,28,31,30,1,28,11,30,1,29,1,30,1,28,1,30,1,28,1,6,1,10,1,9,1,8,1,28,3,30,1,13,2,29,1,6,1,30,1,6,1,13,1,7,1,6,3,29,1,30,2,28,6,6,1,13,1,24,1,29,1,6,1,28,1,30,1,28,2,13,1,12,2,9,1,8,1,7,1,6,3,13,1,8,1,9,1,13,1,24,2,10,2,24,1,8,1,13,1,6,1,13,1,29,2,28,27,29,1,28,2,30,1,28,1,30,1,13,1,29,1,7,1,13,3,9,1,8,1,29,1,6,1,28,4,24,2,9,1,13,1,12,2,7,1,13,1,7,1,13,1,6,1,8,1,6,1,7,1,8,1,6,2,30,1,28,1,6,1,13,1,8,1,24,1,8,1,10,1,12,1,17,5,9,1,6,1,28,34,6,1,28,3,6,1,30,1,29,2,13,3,9,4,10,1,16,1,11,1,16,1,8,1,9,1,13,1,8,1,13,3,8,1,9,2,11,1,9,1,13,3,30,2,28,13,30,1,6,1,28,1,30,3,29,1,6,1,30,1,28,1,13,1,6,1,13,2,9,1,13,1,11,1,13,1,9,3,16,2,11,1,16,3,11,1,17,1,16,1,11,2,16,3,17,2,16,2,9,1,16,1,9,1,11,1,16,1,9,6,11,1,9,1,13,1,9,1,6,1,9,2,16,1,11,1,16,1,11,8,10,1,11,1,16,1,11,4,9,2,11,1,16,1,17,1,11,2,16,1,17,1,11,3,10,1,9,1,11,4,9,3,10,1,8,1,11,1,8,1,9,2,13,8,6,1,13,1,7,1,13,1,30,1,13,1,6,1,29,1,28,35,30,1,28,54,7,1,16,1,11,1,16,2,17,1,11,1,16,1,11,1,16,1,9,1,11,2,8,2,9,1,24,2,13,1,8,1,13,2,6,1,13,1,24,1,7,2,29,1,28,2,29,1,28,36,6,2,28,30,6,1,13,1,6,1,30,1,28,7,6,1,13,1,30,1,6,2,30,1,6,1,28,1,30,1,28,12,13,4,9,1,13,3,28,2,6,1,9,1,30,1,28,5,13,2,9,3,13,2,28,11,9,2,13,1,9,1,13,2,6,1,13,4,9,1,13,1,8,1,13,1,9,1,13,1,9,1,8,1,13,4,6,2,30,1,28,2,13,3,9,1,11,2,16,1,11,1,9,5,10,1,9,1,13,1,9,3,17,3,16,2,9,1,11,1,9,1,11,1,8,4,11,1,13,1,9,3,13,2,6,3,30,3,6,1,28,2,30,1,6,1,30,3,6,2,30,1,13,1,6,1,30,1,6,2,28,1,6,1,30,1,6,2,29,1,9,2,30,1,6,1,30,3,13,2,29,1,7,1,13,4,6,2,13,1,6,1,13,2,6,1,13,2,6,1,7,1,9,1,13,2,9,1,13,6,9,2,13,3,9,1,13,3,9,1,13,1,11,1,13,3,8,1,9,1,13,1,9,1,8,1,13,1,9,3,11,1,9,1,10,1,9,3,11,1,9,1,16,1,9,2,11,4,16,1,9,1,11,1,9,1,13,1,28,6,30,2,28,1,6,1,28,1,30,1,28,1,6,2,13,9,6,1,13,2,6,1,13,3,6,2,13,1,28,1,6,2,28,1,6,1,30,1,6,1,13,1,30,1,28,1,6,1,13,1,6,5,30,3,6,1,30,1,28,1,30,1,6,1,30,8,6,1,30,4,28,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,2,28,1,30,5,6,1,28,1,6,1,30,4,28,2,30,3,28,1,30,1,28,1,30,1,29,1,28,1,30,9,6,1,30,1,6,2,7,1,6,1,30,1,13,1,6,1,7,2,6,4,30,1,6,1,30,1,6,2,13,2,30,1,6,1,13,2,30,1,6,2,7,1,6,1,30,5,28,1,6,1,30,1,28,1,30,2,6,1,30,1,6,1,30,2,28,1,30,2,11,1,6,1,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,2,6,1,30,1,28,1,30,1,28,1,30,4,28,1,30,1,28,1,6,1,30,1,29,1,30,5,6,1,30,3,6,1,30,1,6,1,30,2,28,1,30,2,6,1,28,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,2,28,1,30,9,6,1,30,5,28,1,30,1,28,2,29,1,28,1,30,1,28,2,30,3,28,1,30,1,28,1,30,6,6,1,30,2,28,3,30,1,28,2,30,4,28,1,30,5,6,1,30,1,28,1,30,2,28,5,30,2,6,1,30,1,28,1,30,1,28,1,7,1,28,1,6,1,28,1,30,3,6,1,30,6,6,1,30,3,28,1,30,1,28,1,30,2,28,2,30,2,6,1,30,2,6,1,30,7,28,1,30,1,28,2,30,2,6,1,28,1,6,1,30,3,28,2,30,2,28,2,30,1,28,1,30,1,28,1,30,1,28,2,30,5,28,1,30,2,28,1,30,1,6,1,30,4,7,1,30,1,29,1,30,3,13,1,30,2,28,2,30,4,28,1,30,1,6,1,30,3,28,1,30,3,6,1,30,1,29,1,6,1,30,4,6,2,30,7,28,1,6,1,13,1,10,1,9,1,6,2,28,1,13,3,9,1,13,1,6,1,30,1,13,1,30,2,28,1,7,1,30,1,29,1,6,1,29,1,28,1,6,1,30,2,6,2,30,2,13,10,8,2,13,1,9,1,13,1,6,1,13,3,8,1,13,3,6,6,30,1,6,4,13,1,7,2,6,1,13,1,6,2,30,1,28,1,6,1,30,2,6,1,30,1,29,1,13,1,6,4,13,1,30,3,6,1,13,1,6,1,13,1,6,4,30,1,6,2,30,2,6,1,28,1,6,1,29,1,30,1,6,1,30,1,6,1,29,1,30,1,6,7,29,1,6,1,7,1,30,1,6,1,30,2,6,2,29,1,13,2,30,1,6,1,13,1,6,1,13,2,6,1,30,1,7,1,13,1,6,1,13,1,6,1,30,1,6,1,13,1,9,2,6,2,13,1,6,1,13,3,10,1,13,1,28,2,13,1,28,12,9,1,28,27,29,2,7,2,13,2,30,1,28,1,30,1,28,6,29,1,28,1,6,1,29,1,6,2,7,2,24,1,13,1,8,1,24,2,9,1,24,2,10,1,24,2,8,1,24,2,10,1,8,1,10,1,24,1,8,1,24,2,10,1,9,1,7,1,24,3,8,2,9,1,24,1,8,1,11,1,24,3,8,2,13,3,8,5,24,1,8,1,24,2,8,1,13,1,8,1,9,1,8,1,12,1,10,3,12,1,17,1,12,1,17,10,12,1,17,10,12,1,9,1,8,1,9,2,13,1,8,1,13,3,6,1,29,1,13,1,30,3,28,7,30,2,28,3,30,1,28,11,30,1,28,1,30,1,28,2,30,2,28,1,30,4,28,1,30,2,29,1,28,1,30,1,28,2,30,3,7,1,13,1,6,5,30,1,13,2,7,1,6,1,13,1,6,1,13,1,7,2,6,1,7,1,13,1,29,1,28,8,30,1,28,8,6,1,30,1,7,1,28,1,29,1,7,1,29,1,6,1,29,1,30,1,29,1,28,3,30,1,28,1,29,1,28,2,29,1,28,4,30,1,8,1,6,2,29,1,13,1,24,1,8,1,13,1,7,1,24,1,13,1,24,1,9,1,10,1,24,1,12,2,9,1,10,1,13,1,8,1,10,1,7,1,24,1,13,1,8,1,6,1,8,1,24,2,10,1,17,7,13,1,30,1,28,3,13,3,6,4,13,2,6,1,13,1,6,1,13,4,7,1,13,2,17,1,6,1,29,1,30,3,29,2,28,2,30,1,6,2,29,1,30,1,6,1,28,1,30,2,29,1,28,4,30,1,29,1,28,1,30,1,28,1,29,1,6,2,29,2,25,2,6,1,29,1,6,2,7,1,25,1,13,1,24,1,13,1,24,1,8,1,24,1,8,1,10,1,12,1,8,1,17,1,24,3,12,2,8,2,24,2,8,1,24,1,25,1,8,1,24,1,8,1,24,2,8,1,24,2,17,1,9,1,24,1,9,1,17,1,9,1,17,1,12,1,11,2,9,1,12,1,17,3,12,1,17,1,12,1,17,3,12,1,17,2,11,1,6,1,13,1,7,1,13,2,10,1,17,2,9,1,17,2,10,1,17,3,12,2,17,1,12,1,17,1,10,1,9,1,12,1,24,1,12,1,17,1,10,2,12,1,24,1,7,1,8,1,24,1,10,1,8,1,24,3,9,1,8,1,10,1,12,1,24,2,10,1,6,1,13,1,10,1,24,4,8,1,12,1,10,1,9,1,8,1,10,1,8,1,6,1,10,1,13,1,8,1,24,1,9,1,24,1,8,2,7,1,13,1,8,1,10,1,7,1,24,2,9,1,13,1,24,2,17,1,24,1,10,1,24,1,12,1,24,1,10,1,13,1,24,1,13,1,24,1,8,1,24,3,12,1,10,1,13,1,9,1,24,1,8,1,10,3,24,1,8,1,10,1,8,1,10,1,13,1,8,2,24,1,10,1,24,1,9,3,8,1,10,1,13,1,24,1,8,1,24,1,13,1,12,2,8,1,10,1,24,2,10,1,24,1,13,1,8,1,12,1,10,1,9,1,24,1,10,1,17,1,12,1,10,1,12,1,17,1,10,2,12,1,11,1,8,1,13,1,11,1,9,1,8,2,13,1,7,1,6,1,9,1,13,1,9,1,8,1,9,2,13,1,11,1,13,1,9,2,13,1,9,1,13,1,9,1,8,1,13,1,9,1,6,1,13,1,9,1,13,1,11,1,13,1,9,7,13,1,9,1,13,1,9,1,13,1,9,1,6,1,9,2,6,1,13,3,7,1,28,1,6,1,29,1,28,1,30,1,28,1,30,1,28,18,30,2,28,1,7,1,6,1,28,12,30,3,28,10,30,1,9,1,30,1,28,12,7,1,24,1,12,3,9,1,13,1,10,1,8,1,7,1,6,1,29,1,6,3,7,1,30,1,6,1,8,1,6,1,13,1,12,1,9,2,16,1,14,1,12,2,11,1,6,1,30,1,28,5,29,1,13,1,12,1,9,1,7,1,28,36,24,2,13,1,7,2,13,1,10,1,17,3,6,1,8,1,29,1,8,1,6,1,13,1,8,1,9,1,17,1,12,2,13,1,6,1,28,1,29,2,13,2,17,1,16,1,29,1,28,1,29,1,30,1,6,1,13,1,8,2,15,1,12,1,17,1,16,1,17,1,10,2,13,1,28,1,30,2,7,1,12,1,17,2,30,1,28,1,30,1,9,1,16,1,8,1,29,1,28,1,30,1,28,44,6,2,17,1,9,1,13,1,28,8,30,1,}, {13,1,6,1,9,1,29,1,30,2,29,1,28,5,6,3,7,1,13,1,6,2,8,1,30,1,6,1,28,1,30,1,13,1,8,1,29,1,28,1,30,1,28,1,6,1,30,1,28,1,29,1,28,1,13,2,7,1,13,3,8,1,13,2,8,1,24,1,17,5,9,1,13,1,8,1,6,1,28,9,6,1,13,1,9,1,13,1,30,1,28,5,13,1,8,2,29,1,13,1,28,11,8,1,10,1,13,1,30,1,28,46,29,1,28,1,6,1,9,1,8,1,30,1,28,4,7,1,24,1,13,1,29,1,28,1,6,1,8,1,13,1,6,1,29,1,6,1,13,1,30,1,28,7,6,1,8,2,6,1,29,1,28,2,30,1,6,1,24,1,10,1,17,1,16,1,7,1,8,1,13,1,6,1,13,2,8,1,13,2,8,2,24,1,10,1,24,2,8,3,7,1,29,1,28,25,6,1,30,1,28,2,30,2,28,1,30,1,6,1,7,1,13,1,6,1,8,2,9,1,13,1,30,2,28,4,24,1,12,2,9,1,24,1,13,1,8,2,6,1,13,1,30,1,7,2,6,2,29,1,30,1,28,1,30,1,6,1,13,1,8,1,7,1,12,1,24,1,17,6,9,1,30,1,28,28,30,1,6,1,28,3,30,2,29,1,13,1,30,1,6,1,7,1,13,3,9,1,13,1,9,1,13,2,9,1,16,1,11,1,9,1,16,1,13,3,9,1,13,1,9,4,11,2,9,1,13,4,28,13,6,1,30,3,28,1,30,1,6,1,30,1,13,4,8,1,9,2,11,1,9,2,11,1,16,1,17,1,9,1,16,1,11,1,16,6,17,3,16,1,17,1,16,2,9,1,16,1,11,1,16,2,9,2,13,1,8,1,9,1,13,2,9,2,10,1,9,2,13,2,9,1,11,3,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,1,9,1,11,2,9,1,11,1,16,1,11,5,16,1,9,1,16,1,12,1,11,3,8,1,9,1,11,1,9,1,11,1,13,1,9,1,11,1,9,1,13,1,9,4,13,3,9,1,13,5,7,1,13,1,6,1,7,1,6,2,30,1,28,1,30,1,28,89,9,2,17,1,11,2,16,1,11,1,17,1,16,1,17,1,11,1,9,1,11,1,8,1,9,1,13,1,8,2,13,2,8,1,13,3,6,1,7,2,6,1,29,1,30,2,28,37,9,1,28,30,30,2,6,2,28,6,6,1,30,1,6,3,30,1,13,1,6,3,28,13,6,1,9,1,13,1,9,1,13,2,9,1,13,1,28,2,6,2,30,1,28,5,6,1,8,1,9,1,13,1,9,1,13,2,28,11,6,1,9,1,13,1,9,1,13,3,9,2,13,3,9,2,13,1,8,1,6,1,13,2,9,1,6,2,13,2,6,1,13,1,6,1,8,1,9,1,13,1,8,1,9,2,16,1,9,1,13,3,9,2,11,1,9,1,16,1,13,1,9,1,8,1,11,1,17,3,16,1,9,1,8,1,11,1,9,1,11,1,13,1,9,1,13,2,6,1,13,2,6,1,13,1,7,1,6,5,29,1,6,1,13,1,30,2,28,1,6,2,30,2,29,1,30,1,13,2,30,1,13,1,30,1,7,1,6,1,13,1,30,1,6,1,28,1,30,1,6,1,30,3,13,1,28,1,6,1,9,1,6,2,13,3,6,1,13,1,6,1,9,1,13,2,8,1,9,1,13,2,9,1,13,1,9,1,13,2,9,1,6,1,13,1,11,1,13,7,9,1,13,3,9,4,10,1,9,1,11,1,13,1,9,2,13,1,9,1,8,2,9,4,13,1,8,1,13,1,9,4,11,2,9,1,16,4,11,1,8,1,6,1,28,6,30,2,6,1,30,4,28,1,6,1,13,2,6,1,13,6,30,1,6,1,13,1,6,1,13,1,6,3,30,1,6,1,30,1,7,1,6,1,28,1,6,1,28,1,30,2,6,1,30,2,6,1,28,1,30,2,6,1,7,1,28,1,6,1,30,3,6,1,30,1,28,1,30,5,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,5,28,1,6,2,30,3,28,1,30,6,29,1,30,1,29,1,28,2,30,2,28,1,30,5,6,1,29,1,30,1,28,1,30,1,13,1,30,2,6,1,30,1,6,2,29,1,30,1,29,1,28,1,29,1,6,2,30,1,28,1,6,7,7,1,6,1,29,1,6,1,30,2,6,2,30,1,7,1,6,1,7,1,6,5,13,1,6,1,13,2,6,7,30,2,6,1,7,1,30,1,28,1,30,1,28,1,30,2,6,1,30,1,28,1,17,1,28,2,30,3,28,3,6,1,28,1,6,1,30,2,28,1,30,3,28,1,6,1,29,1,30,4,6,1,30,9,6,1,30,1,29,1,30,4,6,1,28,1,30,1,28,1,6,1,28,1,30,4,28,1,30,2,28,1,6,1,29,1,30,1,28,1,30,1,28,2,30,1,28,2,30,2,6,1,28,1,30,9,28,1,6,1,30,1,28,3,30,3,28,1,30,1,28,1,30,1,28,1,30,1,28,1,6,1,30,3,6,1,30,3,6,2,30,1,28,2,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,1,6,1,30,3,28,1,30,1,6,1,28,1,30,2,28,1,6,1,30,2,6,1,30,2,6,1,30,2,6,1,30,2,28,3,6,2,28,1,30,2,6,1,30,5,6,3,28,1,30,1,6,1,30,1,6,1,28,1,30,5,6,1,28,1,30,7,28,1,30,2,6,1,28,1,30,3,28,2,30,1,28,4,30,1,28,2,30,4,28,1,30,2,28,1,30,1,28,2,30,2,29,1,30,2,28,1,6,1,30,1,28,1,30,1,28,3,30,3,6,2,28,1,30,1,28,3,6,1,28,1,30,4,28,1,30,1,29,1,6,1,30,1,6,4,30,1,6,1,30,2,29,1,28,1,6,1,28,1,6,2,30,1,8,2,13,1,6,1,13,1,6,2,13,2,6,1,30,1,28,1,6,2,30,1,29,1,30,1,6,1,28,1,6,1,30,1,6,1,30,3,28,2,30,1,28,1,6,1,7,1,13,2,8,1,13,11,8,1,13,2,8,2,9,1,13,1,6,3,28,1,6,2,30,1,13,1,6,1,13,3,7,1,13,1,30,1,6,4,30,1,29,1,6,1,30,1,6,1,30,1,6,1,30,2,29,3,6,3,7,1,13,1,29,1,30,1,29,1,30,1,6,1,13,1,6,4,13,1,30,2,6,1,30,1,6,2,30,1,6,1,30,1,6,5,13,1,6,2,30,1,7,1,6,1,29,1,30,1,6,1,30,2,7,2,6,3,7,2,6,1,30,1,13,1,6,4,13,1,6,1,7,1,6,1,13,2,6,1,13,1,6,1,13,1,8,2,9,1,30,2,6,1,13,1,11,1,28,3,29,1,28,11,13,1,28,25,30,1,29,1,6,2,13,1,7,1,13,1,6,1,29,1,28,10,30,1,6,2,24,2,6,1,24,1,12,1,24,2,8,1,9,2,24,1,8,1,24,4,8,2,24,1,13,1,24,1,8,2,24,2,7,1,24,1,8,1,24,1,13,1,8,2,13,2,24,1,8,1,24,2,13,1,8,2,24,1,8,1,24,1,6,1,13,1,6,1,29,1,13,2,24,1,8,1,6,1,24,1,13,1,8,1,7,1,13,1,8,2,10,1,8,1,10,1,9,1,24,1,12,1,17,8,12,1,17,10,12,1,9,1,10,1,11,1,16,1,11,1,10,1,9,1,13,1,8,1,13,3,6,1,13,2,7,1,13,4,30,2,28,1,30,2,6,2,28,29,30,1,28,1,6,2,29,1,30,2,6,3,30,1,28,1,30,1,6,2,30,1,13,2,30,1,6,3,28,1,13,1,6,3,30,1,6,1,28,18,6,1,29,2,28,1,30,2,7,1,29,1,28,1,30,1,28,1,30,1,28,2,30,1,28,4,30,1,28,3,7,1,29,1,30,1,8,1,6,1,10,1,24,1,13,1,24,1,13,1,24,1,10,1,24,1,12,1,13,1,24,1,12,1,9,1,8,1,12,1,13,1,8,1,24,7,12,1,24,1,10,1,17,1,12,1,17,2,11,1,17,1,6,1,28,5,30,1,28,1,13,3,6,1,13,1,6,2,13,8,6,1,9,1,24,1,7,1,30,1,6,1,29,5,6,1,7,1,30,2,28,1,30,1,29,1,30,1,28,6,30,1,29,1,28,1,30,1,29,1,30,1,28,1,29,1,6,3,30,1,29,1,6,2,25,1,6,1,26,1,6,1,24,1,8,1,7,1,25,1,10,1,24,1,8,2,12,1,8,1,10,1,12,2,8,1,24,1,10,1,24,1,10,1,13,1,24,3,8,2,12,1,9,1,8,1,10,1,17,1,8,1,24,1,9,1,12,1,8,1,12,1,8,1,10,1,12,2,17,1,12,2,17,1,11,1,12,3,17,1,12,2,17,1,12,1,17,3,13,2,6,1,13,1,11,1,16,1,17,3,10,1,17,1,11,1,17,2,10,1,12,3,11,1,12,1,9,1,12,4,17,1,9,1,8,1,17,1,24,1,9,1,8,1,13,1,24,2,8,1,12,1,24,4,12,1,24,2,10,1,8,3,12,1,8,1,10,1,24,4,8,2,24,1,10,1,24,1,8,7,10,1,24,1,13,1,24,2,12,1,24,3,13,1,9,1,8,2,24,1,8,1,24,1,8,1,10,1,13,1,8,2,24,1,12,1,8,1,13,1,8,1,12,1,8,1,12,1,10,1,12,1,24,1,8,1,10,1,24,1,12,1,9,1,10,1,24,4,10,1,24,2,10,1,8,2,24,2,8,1,24,3,8,5,24,1,12,1,10,2,9,1,12,1,24,1,12,1,9,1,24,1,9,1,24,1,9,1,8,1,13,1,12,1,8,1,17,1,24,1,11,1,9,1,13,1,9,3,13,1,9,1,8,1,9,1,8,1,7,1,11,1,8,1,7,1,13,1,8,1,13,2,9,2,13,2,9,1,13,1,8,1,13,1,6,1,9,1,13,1,9,2,8,1,13,2,6,1,13,1,9,6,13,2,9,1,13,1,6,1,7,2,30,1,6,1,13,2,7,1,6,1,28,1,7,1,28,1,6,1,28,1,30,1,28,22,30,1,28,5,30,1,28,21,8,1,6,1,13,1,28,12,30,1,11,1,14,1,17,1,10,1,9,2,13,3,6,1,13,1,6,2,30,1,28,1,30,1,6,1,13,4,9,1,24,1,8,1,14,1,16,1,17,1,9,1,13,1,28,6,6,1,8,1,16,1,8,1,13,1,28,36,8,1,10,1,13,1,7,1,30,1,6,1,10,1,17,1,9,1,10,1,15,1,13,1,7,2,29,1,13,1,24,1,17,1,12,1,24,1,10,1,9,1,6,2,30,1,29,1,30,1,7,1,17,2,8,1,28,3,6,1,8,1,24,1,12,1,15,2,17,3,9,1,11,1,13,2,7,1,28,1,13,1,8,1,11,1,17,1,7,1,28,2,13,1,9,2,30,1,28,5,30,1,28,41,13,1,9,1,24,1,13,1,28,6,30,1,28,2,}, {8,1,6,1,13,1,6,1,30,1,28,2,30,1,28,1,6,1,28,2,30,1,6,2,13,2,7,1,24,1,6,1,7,1,28,3,16,1,13,1,29,1,28,1,6,1,30,1,28,1,30,1,28,2,30,1,6,2,13,4,29,1,8,1,13,1,8,1,13,1,12,1,17,4,16,1,8,1,7,1,29,1,28,10,6,1,24,1,8,1,29,1,28,4,30,1,24,2,8,1,6,1,7,1,28,11,8,1,15,1,8,1,29,1,28,44,6,1,29,4,8,2,29,1,30,1,28,3,10,1,8,2,30,1,6,1,13,3,29,1,8,2,13,1,30,1,29,1,28,6,7,1,8,1,7,2,29,1,30,1,28,2,29,1,8,1,11,1,17,1,24,1,13,1,8,1,28,1,8,1,13,2,9,1,8,1,13,1,8,1,10,1,9,2,13,1,24,1,8,1,13,2,7,1,6,1,28,24,29,1,28,1,29,1,30,2,28,4,6,2,7,1,13,1,8,2,9,1,24,1,29,4,28,2,9,1,17,1,9,1,15,1,9,1,24,3,6,1,8,1,13,1,29,1,30,1,29,1,13,1,6,1,28,2,6,1,7,1,9,1,24,1,8,1,9,2,17,6,12,1,6,1,30,1,28,29,30,1,28,1,30,3,28,1,30,1,7,1,6,2,13,3,29,1,6,2,13,2,16,1,9,1,16,1,11,1,13,4,9,3,8,1,13,1,9,1,8,1,9,3,13,3,28,3,30,2,28,2,6,2,30,1,28,1,6,2,13,1,6,1,13,1,6,1,13,1,9,3,13,1,11,1,9,2,11,1,16,1,9,1,16,8,17,1,11,1,17,3,16,2,17,1,16,2,9,5,13,1,9,1,13,1,6,1,13,1,7,1,13,2,6,2,13,1,9,2,8,1,13,2,9,1,11,3,10,1,11,1,16,2,9,1,11,1,16,1,10,1,11,1,16,1,11,6,16,1,9,1,16,1,11,1,9,1,11,1,9,1,16,1,11,4,9,1,11,2,9,1,16,1,11,1,10,1,9,2,8,2,13,1,8,1,13,1,9,2,13,1,8,1,13,1,8,1,7,1,13,3,7,2,6,2,30,1,6,1,30,1,29,1,28,88,30,1,9,1,17,1,16,4,11,1,16,2,11,2,16,2,9,1,10,1,9,2,13,1,24,1,8,1,7,1,13,4,6,1,13,1,30,1,6,1,28,39,30,1,13,1,28,30,7,1,13,1,6,1,30,1,28,6,13,1,6,2,7,1,13,1,30,1,13,1,28,1,6,1,28,14,30,1,13,5,9,1,13,1,28,2,6,1,7,1,6,1,28,5,6,1,9,4,13,2,30,1,28,11,8,1,9,1,13,1,9,1,13,1,6,1,13,1,8,1,13,1,10,1,13,4,6,1,13,1,6,1,13,2,8,1,13,2,9,3,13,1,9,3,10,1,9,2,11,1,13,3,9,1,13,1,9,1,8,1,9,1,11,1,9,1,13,1,9,2,11,1,17,2,11,1,9,1,13,2,9,1,11,1,7,1,8,2,13,1,8,1,13,3,30,1,13,2,7,1,8,1,30,1,13,1,6,3,30,2,28,1,6,1,28,1,30,1,13,1,30,1,13,1,9,1,6,1,13,1,6,2,29,1,30,1,6,1,28,1,6,2,13,2,30,1,6,1,7,1,13,1,30,1,13,3,6,3,13,1,29,1,13,2,6,1,13,1,9,1,6,1,13,3,6,1,13,1,9,1,6,1,9,2,13,1,9,2,6,1,7,1,8,1,13,5,9,1,8,1,9,1,13,1,9,3,11,1,13,3,11,1,13,1,9,3,11,1,8,1,9,5,8,1,9,1,11,2,16,1,9,1,16,4,11,2,13,1,30,1,28,9,13,1,28,1,6,1,28,2,30,1,6,1,7,1,30,2,6,1,13,1,6,1,7,1,13,1,6,1,13,1,30,1,6,3,7,1,6,3,13,1,28,1,6,1,7,1,6,1,30,1,6,1,28,1,7,1,30,1,28,1,30,2,28,1,30,1,6,2,13,1,30,3,6,2,30,2,6,1,30,1,6,1,28,2,29,1,28,1,30,7,6,1,28,1,30,1,28,1,30,3,6,1,30,3,28,1,29,1,28,2,30,1,28,1,6,1,29,1,28,1,29,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,2,13,1,29,1,30,1,29,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,28,1,30,2,6,2,30,2,6,2,13,1,6,1,28,1,6,1,7,1,6,5,13,1,30,1,6,2,30,1,13,1,6,1,13,1,6,1,13,1,6,1,7,2,6,1,13,1,6,2,30,1,28,2,6,2,30,2,6,1,30,3,6,1,30,2,6,1,30,1,17,1,30,2,28,2,30,4,28,1,29,1,6,2,30,3,6,1,30,2,13,1,30,1,6,1,28,1,29,1,30,1,6,1,30,1,6,1,30,1,6,2,29,1,6,3,29,1,30,1,6,1,30,2,13,1,30,1,6,1,30,1,28,1,30,5,29,1,30,1,6,1,30,1,28,1,30,1,6,3,30,3,28,1,30,2,28,1,30,2,28,4,30,1,28,1,6,1,30,3,6,1,30,1,6,1,28,2,30,1,29,1,28,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,2,30,2,28,2,6,1,30,3,28,1,30,2,6,1,28,1,30,1,28,2,30,1,28,1,30,1,28,2,30,2,28,1,29,1,28,1,30,3,28,1,6,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,6,1,30,4,6,1,13,1,29,1,6,1,28,1,30,1,13,1,30,1,28,1,6,1,30,2,6,1,28,1,30,4,6,1,30,2,28,2,30,2,28,1,30,3,28,2,30,2,28,1,30,5,28,1,30,2,28,1,29,1,30,3,6,1,28,2,29,1,28,1,30,1,28,1,30,1,28,3,30,2,28,2,30,1,6,1,30,1,6,1,30,1,13,1,28,1,30,6,28,2,30,1,28,3,30,1,28,3,30,5,28,1,30,1,28,1,6,1,28,2,30,8,28,1,30,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,2,13,1,8,1,13,1,7,1,13,1,30,1,6,1,29,1,6,1,30,1,29,1,28,1,29,1,30,3,28,1,6,1,30,5,28,2,30,2,28,1,30,1,28,1,6,2,13,3,7,1,6,1,13,1,6,1,29,1,30,1,6,2,7,1,6,1,13,4,9,2,13,1,6,1,30,1,29,1,30,1,6,4,13,1,6,1,13,2,6,3,29,1,6,1,30,2,6,2,30,3,6,2,30,1,6,2,30,1,6,2,28,1,6,1,30,1,6,1,29,1,13,1,29,1,6,2,30,5,6,2,29,1,30,1,28,1,13,1,30,2,6,2,30,1,6,4,30,2,6,1,13,1,6,4,30,1,6,1,30,5,6,3,30,1,6,6,13,1,6,2,7,1,6,3,7,1,6,1,7,1,29,1,30,3,28,3,30,1,7,1,28,15,13,1,28,24,6,1,28,1,29,1,7,2,6,1,29,1,6,1,28,10,29,1,6,1,29,2,6,1,25,1,8,1,7,1,24,4,8,1,13,1,24,1,13,1,10,1,24,1,8,1,24,2,8,3,13,1,8,1,7,1,8,1,24,2,6,1,13,4,8,1,7,1,9,1,8,1,7,1,6,1,24,1,8,1,7,1,13,1,24,1,13,2,7,2,13,1,7,1,8,1,13,1,8,1,13,1,7,1,8,1,13,1,8,1,13,1,24,2,8,1,24,3,8,1,9,1,24,1,12,1,17,5,12,1,17,12,8,2,11,1,12,1,17,1,16,1,11,1,13,5,6,1,13,4,7,1,13,1,6,3,13,3,6,1,13,2,6,1,7,1,6,1,13,2,6,3,30,2,28,27,6,1,28,1,30,1,28,1,29,1,30,3,29,1,28,1,6,1,30,1,6,4,30,1,6,1,13,1,29,1,30,1,28,2,30,1,28,4,30,1,28,8,6,1,7,1,6,1,30,1,6,2,28,1,6,1,30,1,28,3,6,1,28,1,30,2,28,4,30,1,29,1,30,1,29,1,6,1,29,1,7,1,28,1,13,1,6,1,7,1,24,1,13,1,24,1,8,1,24,2,13,1,24,1,8,1,9,1,8,2,12,1,24,2,9,1,10,1,24,1,13,2,24,1,9,1,12,1,10,1,12,2,17,6,7,1,6,1,29,1,28,1,30,1,28,2,30,1,28,3,13,8,6,2,13,1,6,1,13,2,8,2,29,1,28,1,7,1,6,1,30,1,29,3,6,1,28,1,6,1,29,2,28,1,29,1,30,1,29,1,28,1,6,1,28,2,30,2,29,1,28,1,30,1,28,1,29,1,28,1,30,1,29,1,30,1,29,1,6,1,29,1,6,1,25,2,29,1,25,1,6,1,8,1,7,1,8,1,24,1,7,1,10,1,24,3,10,1,13,1,10,1,24,1,8,1,10,1,24,2,8,1,24,1,10,1,13,1,8,1,24,1,10,1,24,4,8,1,10,1,24,1,12,1,9,2,12,2,10,1,12,1,8,1,10,1,17,1,9,1,10,2,17,1,11,1,17,1,9,1,11,1,17,5,9,1,13,2,9,1,17,7,12,2,9,1,17,1,12,1,17,1,11,1,12,1,11,1,17,1,12,1,24,1,13,1,11,1,10,1,24,1,17,1,8,1,24,1,10,1,24,2,8,1,12,2,24,1,9,1,13,1,8,2,13,1,24,3,13,1,7,1,24,1,10,2,7,1,8,1,12,1,8,1,17,1,12,1,13,2,24,1,8,2,12,1,8,1,13,1,12,2,8,2,13,1,10,1,9,1,8,1,24,1,9,1,7,1,10,1,29,1,24,2,13,1,12,1,8,2,24,1,13,1,12,1,24,2,9,1,8,1,12,1,13,1,8,1,12,2,24,1,13,1,12,1,24,2,9,1,8,1,12,1,8,1,24,1,8,2,24,1,13,1,8,1,10,1,24,3,9,1,8,2,7,1,10,1,24,1,7,1,24,1,8,1,24,2,8,1,24,1,9,1,12,1,9,1,8,1,24,2,12,2,10,2,9,1,12,1,9,1,12,2,9,1,11,1,24,1,8,1,9,2,13,1,9,1,13,1,11,1,9,1,8,1,13,4,6,1,9,1,13,1,9,1,13,1,9,1,8,1,9,2,13,2,6,1,13,2,9,1,8,1,9,1,13,1,6,1,13,6,10,1,6,1,9,1,11,1,13,1,8,1,9,1,8,2,9,1,13,1,7,1,13,3,6,1,13,1,6,1,30,2,28,5,29,1,28,37,30,1,28,9,6,1,7,1,13,1,6,1,28,4,30,2,28,7,13,1,14,1,12,1,15,1,9,1,10,1,29,1,7,1,13,1,6,3,29,1,6,2,30,1,29,1,6,1,13,1,24,2,13,1,9,2,17,1,16,2,12,1,24,1,28,7,13,1,11,1,9,1,13,1,30,1,28,35,8,1,11,1,29,4,9,1,17,1,15,1,11,1,8,2,13,1,7,4,9,1,12,2,9,1,13,1,30,1,29,3,6,1,13,1,17,1,11,1,13,1,30,1,28,1,29,1,6,2,9,1,8,1,9,1,17,5,8,1,13,1,6,1,30,1,13,1,8,1,17,3,28,1,29,1,28,1,9,2,13,1,29,1,28,47,13,1,10,1,17,1,8,1,28,9,}, {13,2,6,1,13,1,30,2,13,1,28,1,30,1,13,2,30,1,6,1,8,1,7,1,29,2,30,1,28,1,29,1,28,3,30,1,7,1,29,1,30,2,28,4,30,1,28,2,13,1,6,3,13,2,10,1,6,1,13,1,9,1,8,1,17,1,12,1,17,3,9,1,8,1,24,1,13,1,28,9,13,1,6,1,8,1,24,1,6,1,28,5,6,1,9,1,13,1,8,1,6,1,30,1,28,10,13,1,8,1,24,1,7,1,28,42,30,1,28,1,30,2,28,1,29,1,6,1,8,2,13,1,28,4,8,1,10,1,13,1,30,1,6,2,7,1,24,2,13,1,8,1,13,1,8,1,30,1,28,6,30,1,8,1,13,1,6,2,28,4,6,1,9,1,10,1,11,1,8,1,13,2,6,1,13,2,8,1,24,1,8,2,10,2,12,1,13,3,8,1,24,1,8,1,7,1,28,2,30,1,28,22,30,1,28,1,30,1,28,4,30,1,6,1,30,1,6,1,29,1,13,1,9,1,10,1,9,1,6,1,28,1,30,1,6,1,30,1,6,1,9,1,17,1,24,5,13,1,29,1,6,1,29,1,7,1,6,2,30,1,6,1,28,1,6,1,29,1,6,1,13,1,24,1,8,1,12,2,17,6,9,1,6,1,30,1,28,22,30,1,28,4,6,1,30,1,6,1,28,2,30,1,6,1,30,1,6,4,28,5,30,1,9,2,16,1,11,1,9,2,13,1,8,1,13,1,8,1,13,2,30,1,28,2,30,1,13,2,8,1,9,1,13,1,9,1,13,1,28,1,6,1,30,1,28,1,13,7,9,1,13,1,9,1,16,1,11,1,16,2,11,2,16,1,17,4,16,8,17,1,16,1,17,1,16,3,17,1,16,2,11,1,16,1,9,2,8,1,13,1,9,1,13,6,30,1,13,2,6,2,13,2,8,1,13,1,7,1,13,1,6,1,9,1,16,1,9,1,11,1,17,1,16,1,9,1,11,2,10,1,11,1,10,1,11,1,9,2,11,1,9,3,11,5,9,1,11,3,9,1,11,1,10,1,11,4,9,1,11,1,9,2,8,1,13,1,9,1,8,1,13,4,28,1,7,2,13,4,29,1,13,1,6,1,30,1,6,2,28,1,29,1,28,89,30,1,10,1,17,3,11,1,17,3,16,1,17,1,11,3,9,2,13,2,9,1,13,1,8,1,13,3,7,1,13,3,6,2,30,1,28,3,30,1,28,35,7,1,6,1,28,29,6,2,28,1,30,1,28,6,30,2,6,1,13,1,6,1,30,1,6,1,30,1,28,1,6,1,13,1,6,1,28,12,6,1,13,3,9,1,13,3,28,2,30,2,6,1,28,5,13,5,6,1,13,1,30,1,28,11,13,2,9,2,6,2,13,2,9,3,13,1,9,1,6,1,9,1,13,1,30,1,13,3,6,1,13,1,9,1,13,4,9,1,8,1,9,1,8,1,13,5,8,1,9,2,13,3,8,1,13,1,9,1,13,1,11,1,17,2,16,1,9,1,10,1,9,2,13,1,9,1,8,1,13,4,6,1,13,3,8,1,6,1,8,1,13,2,30,1,6,1,30,1,29,1,30,1,6,1,7,1,6,2,13,1,6,2,13,2,30,1,13,1,30,3,6,2,30,3,6,1,13,1,6,1,13,1,6,1,13,4,6,1,13,1,6,1,13,3,9,1,7,1,13,1,9,1,6,1,13,2,8,2,9,2,13,1,8,1,9,1,13,1,9,2,13,5,9,1,13,2,9,2,13,1,9,3,13,3,8,1,13,1,9,1,8,1,9,3,8,2,9,2,13,1,9,2,8,1,9,1,16,2,9,1,11,1,17,1,11,3,13,1,7,1,28,12,30,1,28,2,6,1,13,1,6,2,30,1,6,3,29,1,6,2,13,1,6,2,13,2,6,1,13,1,6,3,28,1,13,1,6,1,30,1,7,1,6,4,30,2,6,2,30,1,6,1,13,1,6,1,30,2,13,2,30,2,6,2,30,1,28,1,6,1,30,2,6,1,28,1,30,2,28,1,6,1,30,3,28,2,30,3,28,1,6,1,30,1,6,1,28,1,6,1,30,1,13,1,30,3,6,3,29,1,30,3,7,1,6,1,30,2,6,1,30,2,29,1,30,1,6,1,30,1,6,2,29,1,30,1,6,3,30,4,6,1,30,1,6,1,30,1,6,1,30,2,28,1,6,1,30,1,6,1,13,1,6,1,30,1,6,3,28,1,6,1,30,3,6,1,7,1,29,1,6,3,30,1,13,3,6,3,13,2,6,2,13,2,6,1,29,1,13,1,30,1,13,2,29,1,6,1,30,1,6,3,30,1,6,1,17,1,30,2,6,2,30,1,29,3,6,2,30,2,6,1,29,1,30,1,7,1,13,2,30,1,6,1,13,1,6,1,13,1,6,4,7,1,6,4,13,1,7,2,6,3,30,1,6,1,30,1,29,1,6,4,30,1,6,1,30,1,6,1,30,1,6,1,30,1,28,1,6,1,30,2,28,1,30,2,29,1,30,1,28,1,29,1,6,1,30,1,28,1,30,3,28,1,30,2,6,1,30,1,6,1,30,1,13,1,6,4,30,4,28,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,1,29,1,30,2,28,1,30,5,28,2,30,1,28,1,30,1,28,5,30,1,28,5,30,1,28,3,30,1,28,3,30,1,28,1,30,1,28,1,30,1,29,1,28,2,30,1,28,1,30,6,6,1,30,1,28,1,6,1,28,1,6,1,30,1,28,2,6,1,28,1,30,1,6,1,30,1,6,1,30,5,28,1,6,1,28,1,30,1,28,2,30,3,6,1,29,1,30,1,28,1,13,1,30,1,28,1,30,1,29,1,30,4,28,4,6,1,28,1,30,2,28,1,30,4,28,1,30,1,28,4,6,1,28,2,30,1,28,1,30,1,28,2,30,1,6,1,30,1,28,2,30,1,28,3,30,6,28,1,30,1,28,3,30,5,28,1,29,1,6,1,30,2,28,1,30,2,6,1,30,3,28,2,29,1,30,2,28,1,30,1,13,2,8,1,6,1,30,1,13,1,30,2,6,2,28,3,6,1,30,1,6,1,30,1,28,1,30,1,28,1,6,1,30,1,6,1,28,1,30,1,28,1,30,6,29,1,6,1,13,2,6,1,13,1,6,3,30,1,6,1,13,1,7,1,13,1,30,1,7,1,13,1,8,2,13,1,30,1,6,1,30,1,28,1,13,1,30,3,13,4,6,1,13,1,30,1,6,1,28,1,13,1,30,2,28,1,30,2,6,2,30,3,6,1,13,1,6,1,29,1,6,2,30,2,6,2,30,1,6,1,13,1,28,1,6,1,29,1,6,2,30,2,28,1,29,1,30,1,6,1,30,1,6,7,30,1,6,3,30,2,6,2,13,1,6,1,30,1,7,1,6,2,30,1,29,1,28,1,7,2,13,1,7,1,30,1,6,1,13,1,30,1,6,1,13,1,30,1,13,1,6,2,7,1,13,1,6,2,7,1,13,1,6,1,13,1,30,1,6,1,30,1,28,6,6,1,28,38,30,1,6,2,29,1,13,1,6,1,28,10,30,1,6,3,7,1,8,3,24,1,6,1,8,3,13,1,6,1,8,1,7,1,24,1,29,1,13,1,8,1,7,1,24,2,8,2,7,1,8,1,7,1,13,2,7,2,13,2,8,1,13,1,29,1,13,1,29,1,13,2,6,3,24,1,6,1,7,1,24,1,13,1,8,1,6,2,8,1,7,1,6,1,8,1,6,2,8,1,7,1,6,1,24,1,13,1,9,1,24,1,12,1,9,1,24,1,10,1,17,1,12,1,17,1,12,1,17,1,12,1,11,1,17,7,12,1,17,2,12,1,9,1,8,1,9,1,12,1,16,1,11,1,17,1,11,1,9,1,13,3,6,2,13,1,29,1,6,2,7,1,30,1,6,2,30,1,7,1,30,1,7,2,13,1,6,2,8,1,9,1,13,8,7,1,13,1,30,1,13,1,7,1,6,1,28,2,30,1,6,1,28,23,30,1,28,6,30,1,28,1,30,3,28,1,29,1,28,17,29,1,6,1,28,1,6,1,29,1,6,1,28,1,29,1,30,2,6,1,28,1,29,1,28,3,30,1,28,1,30,1,6,1,30,1,6,1,30,1,29,1,6,2,8,1,13,1,8,1,7,1,8,2,24,1,8,1,24,1,8,2,24,3,13,1,24,2,13,1,8,1,7,1,8,2,13,1,24,1,8,1,10,1,8,1,10,1,9,1,12,1,17,7,11,1,12,1,9,1,8,1,13,2,6,1,30,1,28,5,6,1,13,3,6,1,13,6,9,1,8,1,29,1,6,1,30,1,6,2,30,1,28,2,29,1,6,1,29,3,28,4,30,1,28,4,29,1,28,1,30,2,29,1,30,2,28,1,6,1,29,4,28,1,6,1,25,1,6,1,25,1,29,1,8,4,24,2,25,1,8,1,24,1,12,1,24,1,12,1,8,1,10,2,24,1,17,1,8,1,24,1,8,1,10,1,29,1,10,1,8,2,10,1,9,1,12,3,13,1,12,1,11,1,8,1,12,1,8,1,10,1,17,1,12,1,17,1,10,1,9,2,12,3,17,1,10,1,12,2,17,1,12,1,17,3,9,1,7,1,12,1,17,4,12,1,17,3,12,1,17,1,11,2,17,2,12,2,24,1,9,2,11,1,24,1,12,2,8,1,12,2,9,2,24,1,10,1,8,1,9,1,10,1,24,4,8,1,7,1,13,1,12,1,13,1,8,1,13,2,24,1,8,1,24,1,12,1,8,1,13,1,24,2,10,2,24,1,8,1,24,3,10,1,24,1,8,1,24,1,13,1,8,1,9,1,24,2,7,1,10,1,24,3,6,1,24,1,8,1,12,1,8,1,24,1,8,1,10,1,12,1,24,1,9,1,8,1,24,1,13,1,12,1,8,1,17,2,12,1,8,1,9,1,12,1,24,1,12,2,8,1,12,1,24,1,9,1,24,1,10,1,24,3,8,1,13,1,8,2,10,1,8,3,9,1,24,1,8,1,10,1,8,1,10,1,9,1,24,1,8,1,24,1,12,1,10,1,24,2,10,1,9,1,12,1,17,3,9,1,11,1,17,1,13,1,8,2,13,1,10,1,9,2,8,1,13,1,8,1,9,1,13,3,7,1,13,2,9,1,11,1,13,1,11,1,9,1,13,1,9,1,13,2,9,3,13,8,8,1,13,1,6,1,13,1,6,1,13,1,6,1,9,1,8,1,13,4,6,1,13,1,30,1,6,2,29,1,30,1,28,2,30,1,28,1,30,2,28,51,6,1,13,1,30,1,28,4,30,1,28,7,6,1,14,2,15,1,12,1,9,1,12,1,6,1,24,1,6,2,7,1,6,1,30,1,6,1,29,2,30,1,6,2,8,2,9,1,8,1,11,2,16,1,17,1,8,1,6,1,28,7,9,1,16,1,9,1,30,1,28,36,7,1,17,1,6,1,30,1,29,1,6,1,10,1,12,1,17,1,24,2,13,1,6,1,13,3,9,1,13,1,10,1,9,1,24,1,7,1,30,1,28,1,7,1,28,2,9,1,17,1,16,1,6,1,30,1,6,1,28,1,13,2,9,2,24,1,11,1,10,1,12,1,17,3,11,1,13,1,6,2,7,1,17,1,12,1,9,1,13,1,28,2,6,1,16,1,13,1,28,1,30,1,28,7,30,1,28,38,8,1,12,1,9,1,6,1,28,9,}, {6,1,13,1,7,1,8,1,7,1,13,1,6,2,13,1,6,1,29,1,7,1,6,1,30,1,6,3,30,2,29,1,30,1,28,2,29,1,6,1,29,1,28,1,6,1,30,1,28,3,30,1,28,2,13,1,29,1,13,6,8,1,9,1,13,1,9,1,16,1,17,2,12,1,9,1,13,1,8,1,13,1,28,9,30,2,8,1,7,1,6,1,28,5,30,1,8,1,24,1,8,1,30,1,28,1,29,1,28,9,29,1,8,1,24,1,6,1,28,43,30,1,6,1,28,1,6,1,28,1,7,1,15,1,10,1,28,5,7,1,8,2,6,2,29,1,7,1,6,2,24,1,8,1,24,1,13,1,6,1,28,6,30,1,8,1,24,1,29,2,28,4,29,1,9,1,12,1,16,1,8,1,9,1,8,1,13,2,8,1,13,1,24,3,15,1,17,1,12,1,24,2,9,2,7,1,24,1,8,1,28,1,29,1,28,23,29,1,28,1,29,2,28,4,30,2,6,1,7,1,10,1,8,1,10,1,9,1,7,1,6,1,30,3,28,1,24,1,17,2,12,1,8,1,7,1,13,1,8,1,24,1,8,1,29,1,6,1,8,1,29,1,6,1,8,1,28,1,6,1,7,1,6,1,24,1,6,1,8,1,12,1,16,1,17,6,14,1,6,1,28,1,30,1,28,28,6,1,29,1,6,1,28,1,30,1,28,2,30,1,28,3,6,1,28,3,6,1,9,1,13,1,16,1,9,3,13,1,9,1,13,1,8,1,7,1,30,1,28,3,30,1,13,1,9,2,13,1,9,1,11,1,13,1,30,2,13,1,8,2,13,1,9,3,11,1,16,1,11,1,16,3,11,1,16,2,11,1,16,1,11,1,16,3,9,1,16,1,11,1,16,2,17,1,16,1,17,1,16,1,11,1,16,1,9,1,11,2,13,1,9,1,10,1,9,1,13,10,6,1,13,2,6,1,30,1,13,1,9,1,13,3,7,1,13,1,30,1,6,1,16,1,11,1,16,1,11,1,16,1,11,1,9,1,16,1,11,10,17,1,11,1,16,1,9,3,11,2,9,1,16,1,11,2,9,1,10,1,11,6,9,3,8,2,13,2,8,1,13,1,8,1,9,1,13,1,6,1,13,1,7,1,6,1,7,1,6,1,13,1,7,1,6,1,30,1,29,1,28,90,6,1,9,1,17,2,16,2,17,2,16,2,11,1,16,3,10,1,9,1,8,2,13,2,8,1,13,1,7,1,13,1,6,1,8,1,30,1,29,1,6,2,29,1,28,3,30,1,28,36,9,1,28,30,6,2,28,1,30,1,28,6,30,1,13,2,6,3,13,2,28,1,30,1,6,1,28,14,9,1,13,2,9,1,13,2,9,1,30,1,28,1,30,1,6,1,30,1,28,6,13,3,9,2,13,1,6,1,28,12,13,1,9,2,13,1,30,1,13,3,9,1,13,1,9,1,13,5,6,1,13,2,29,1,13,2,6,1,8,1,13,2,6,1,13,2,9,1,13,2,9,1,13,1,9,1,13,3,11,1,9,1,13,4,9,2,17,2,16,1,8,1,9,2,13,1,9,1,13,1,8,1,13,1,9,2,7,1,8,1,13,2,28,1,13,4,6,1,13,1,6,1,30,1,6,1,29,1,30,2,6,2,30,1,6,1,13,3,28,1,13,1,6,1,30,1,6,2,13,2,6,1,13,1,6,1,13,3,28,1,30,1,9,1,30,1,28,1,6,1,13,2,7,1,29,1,13,3,9,1,13,3,8,1,13,1,9,2,13,3,9,1,13,2,6,1,9,1,13,2,9,6,8,1,13,2,9,1,8,1,13,1,9,2,13,1,9,1,13,1,9,2,8,3,9,1,13,1,11,1,9,2,11,2,8,1,9,2,16,2,8,1,11,1,9,1,13,1,28,16,7,1,30,2,6,4,30,1,13,1,7,1,13,1,6,1,30,1,6,1,13,1,30,1,6,2,7,1,30,1,6,3,7,1,30,1,6,2,30,2,7,1,6,2,30,1,29,1,6,1,13,2,6,1,13,2,6,1,30,1,6,2,30,2,6,1,30,1,6,1,30,4,6,1,28,1,30,2,6,1,28,1,6,1,30,3,28,1,30,2,13,1,30,1,6,1,7,1,30,2,6,2,30,1,6,2,30,2,29,1,28,1,29,1,28,1,30,1,6,1,30,1,28,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,28,1,6,2,7,1,30,1,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,5,30,3,6,1,28,2,30,1,6,4,13,3,7,1,6,1,13,1,6,1,29,1,13,2,7,1,13,3,7,1,6,1,13,1,8,1,6,2,7,1,13,1,6,1,13,1,6,3,13,3,6,4,30,1,6,4,17,1,28,1,6,1,30,3,29,1,30,1,6,4,7,1,30,1,6,2,13,1,6,1,30,1,6,2,7,1,13,2,6,1,13,1,6,2,7,1,6,1,13,1,7,1,13,1,30,1,6,3,13,1,6,2,7,1,30,1,7,1,6,5,13,1,6,1,13,1,30,1,6,1,30,1,6,5,13,1,30,1,6,3,7,1,30,1,13,1,30,3,6,2,13,2,6,5,30,2,6,2,29,1,30,5,28,1,30,5,6,1,30,1,6,1,28,2,29,1,6,1,30,2,28,1,6,1,29,1,30,4,28,1,30,3,28,1,30,2,28,1,30,2,28,2,30,2,28,3,30,3,28,1,30,1,28,2,30,1,28,1,30,2,28,2,30,2,6,3,13,1,28,1,30,4,28,1,30,2,28,1,30,3,28,1,13,1,30,5,6,1,30,2,28,1,30,1,28,3,30,5,6,1,28,2,30,1,28,2,30,3,28,1,30,4,28,1,30,1,28,3,30,1,28,2,30,2,28,1,30,2,28,1,30,1,6,1,30,6,28,2,30,1,28,2,30,2,28,1,30,3,6,1,28,1,6,1,30,2,6,1,28,1,30,7,6,1,30,5,29,1,28,1,30,1,6,1,29,1,30,4,28,1,30,1,28,1,30,1,13,4,30,1,13,1,7,1,30,1,6,2,28,1,6,3,30,2,28,1,6,1,30,2,29,1,6,1,29,1,30,3,28,1,30,1,28,1,6,1,30,3,28,1,30,3,13,4,6,1,30,2,13,2,6,2,13,1,7,1,6,1,7,1,28,1,6,1,30,1,6,1,29,1,13,1,6,2,13,1,6,1,7,1,6,2,13,1,30,7,6,1,28,1,30,1,29,1,30,1,28,1,29,1,30,2,6,1,30,4,28,1,30,2,6,1,30,1,13,1,6,3,28,1,30,2,29,2,30,1,28,1,30,2,6,1,28,2,30,3,6,1,29,1,30,1,6,3,28,1,6,2,13,1,30,1,9,1,13,1,7,1,30,1,6,1,30,2,6,2,30,1,13,1,6,1,30,2,6,1,13,1,6,1,30,1,13,1,30,1,6,2,30,1,13,2,6,2,30,2,6,1,30,1,6,1,28,7,6,1,28,35,30,1,28,1,7,1,29,1,28,2,7,1,30,1,28,8,30,1,29,2,6,1,7,2,8,1,7,1,8,1,7,1,8,1,13,1,7,1,6,2,24,1,6,1,13,1,7,1,6,2,13,1,7,1,13,1,7,1,24,1,13,1,8,3,7,3,13,1,7,1,13,2,8,1,29,1,7,2,13,1,7,2,13,1,6,1,13,1,6,2,8,1,7,1,13,1,6,2,13,1,8,1,28,1,13,1,7,1,6,1,13,1,8,1,13,1,24,1,13,2,24,1,9,1,24,1,9,3,17,1,10,1,17,2,12,2,17,1,12,1,17,9,10,1,13,2,8,1,13,1,10,1,17,2,11,2,8,1,6,2,7,1,6,7,30,2,6,7,13,1,9,1,8,1,13,3,6,1,13,2,6,1,13,1,30,1,9,1,6,1,13,1,28,1,13,1,6,3,13,2,6,2,13,1,6,1,30,1,6,1,30,3,28,1,30,1,28,8,30,1,28,15,29,1,28,16,6,1,28,1,29,1,28,1,30,1,28,1,6,1,29,1,6,1,30,2,28,3,30,2,28,2,6,1,28,3,29,1,6,1,29,1,6,1,28,1,13,1,7,1,8,1,24,1,10,1,24,1,7,1,10,1,24,1,8,2,12,1,7,2,9,1,10,1,12,1,8,1,9,1,13,1,10,1,13,1,8,1,24,1,8,1,12,1,8,1,12,1,24,1,12,1,17,1,12,1,17,10,16,1,9,2,8,1,13,1,7,1,28,3,30,1,13,3,6,1,13,6,9,1,8,1,30,1,6,1,29,1,30,1,29,1,6,2,30,1,28,1,7,1,28,1,30,2,28,1,29,1,30,1,6,1,28,3,6,1,29,1,28,1,30,1,6,1,28,1,30,2,6,1,30,1,6,1,30,1,29,1,25,1,30,1,26,1,29,1,26,1,30,1,6,1,29,1,25,3,8,1,24,1,25,1,24,2,10,2,13,1,8,1,24,1,10,1,9,1,8,2,10,1,24,2,10,2,8,1,24,1,10,3,13,2,10,1,24,1,12,1,9,1,17,1,10,2,11,1,17,1,12,1,17,2,12,3,17,1,12,2,17,1,12,2,17,5,10,1,17,1,12,1,11,1,12,1,17,3,10,1,17,1,12,1,17,1,11,1,10,1,9,1,12,1,8,1,11,1,9,2,12,2,10,1,24,1,10,2,12,1,8,1,9,1,10,1,13,1,10,1,13,1,10,1,8,1,24,3,7,1,24,1,8,1,7,1,24,2,12,1,24,1,12,1,24,1,10,1,12,1,8,1,17,1,10,1,8,1,12,1,8,2,24,1,12,1,7,1,24,3,8,1,24,1,8,1,24,1,13,1,24,3,8,1,13,1,8,1,10,1,24,1,8,1,24,2,8,1,24,1,10,1,13,1,8,1,10,1,24,2,12,3,24,1,9,1,10,1,17,1,12,1,9,1,12,1,24,1,17,1,12,1,10,1,12,1,9,1,13,1,8,6,24,2,10,1,13,1,9,1,13,2,12,1,10,1,24,4,8,1,12,1,24,1,9,1,13,1,12,1,24,1,9,1,17,1,24,1,17,1,10,1,12,2,10,2,13,1,9,1,13,3,7,1,11,1,13,1,8,1,9,3,13,7,9,1,7,1,9,1,13,3,7,1,9,1,13,3,9,1,13,3,9,2,13,6,7,1,6,1,13,1,9,1,30,1,6,1,13,1,9,1,13,2,7,1,13,1,6,1,30,1,13,1,6,2,30,3,7,1,6,2,28,50,30,1,13,1,8,1,28,6,30,2,28,5,30,1,9,1,14,1,9,1,12,1,9,1,12,1,9,1,24,1,8,1,13,1,6,2,7,2,30,1,6,2,29,1,13,2,8,1,13,1,12,1,9,1,16,1,17,1,11,1,9,1,6,1,28,6,6,1,9,3,6,1,28,36,8,1,9,1,13,1,30,1,28,1,6,1,9,1,15,1,9,1,24,1,8,1,13,1,24,1,13,1,8,2,12,1,17,2,12,2,13,1,6,1,30,1,6,1,30,2,8,1,17,1,10,1,13,1,28,2,30,1,29,1,13,1,9,1,8,1,9,1,17,5,16,1,9,1,8,1,30,1,6,2,17,2,8,1,28,2,7,2,10,1,9,1,29,1,6,1,28,46,13,1,8,1,12,1,29,1,28,9,}, {13,1,8,1,29,1,6,1,7,3,6,1,29,1,30,1,28,1,30,1,7,1,6,1,28,2,30,2,6,1,30,1,28,1,6,2,29,1,7,1,28,1,30,1,28,2,30,1,28,2,29,1,28,2,6,1,13,1,6,1,13,4,9,2,13,1,9,1,11,1,9,1,12,1,17,2,11,1,8,1,24,1,7,1,28,10,29,1,7,1,13,1,6,1,28,5,6,1,8,2,13,1,30,1,6,1,28,10,30,1,24,2,6,1,28,43,29,1,28,2,30,1,28,1,13,1,14,1,24,1,28,5,8,1,12,1,9,1,6,2,29,1,13,1,9,1,13,1,9,1,24,1,10,1,13,1,28,8,6,1,10,1,30,1,29,1,28,4,29,1,9,1,16,1,11,1,8,1,9,1,13,1,24,1,8,1,24,1,9,1,8,2,15,1,10,1,12,1,9,1,24,1,9,1,8,2,7,1,9,1,6,1,28,1,30,1,28,23,30,2,28,3,30,1,28,2,30,2,6,1,7,2,6,1,10,1,24,1,13,2,28,1,6,1,29,1,28,1,9,1,17,2,24,1,9,1,29,1,8,3,13,1,8,1,13,1,6,2,30,1,6,1,30,1,29,1,6,1,13,2,8,1,9,2,17,7,14,1,6,1,30,1,28,29,29,1,28,13,13,1,9,1,16,1,11,1,16,1,9,1,13,2,9,1,13,3,30,1,28,1,30,1,28,3,13,1,9,1,13,1,11,1,8,1,13,2,9,5,11,1,17,1,16,3,11,2,16,1,10,1,16,1,11,1,16,1,11,1,16,1,11,1,16,1,11,2,16,4,17,1,16,1,11,1,16,1,9,1,16,2,9,2,11,1,13,6,9,1,13,4,9,1,13,1,8,1,13,5,9,1,13,1,9,3,13,1,6,1,13,1,7,1,9,2,11,3,16,1,11,5,9,1,11,1,10,1,11,1,9,3,11,2,9,1,11,1,10,2,11,1,9,1,16,1,11,1,9,1,11,4,9,1,10,1,9,6,13,2,8,2,7,1,8,2,13,2,30,1,13,2,6,3,7,1,28,1,29,1,6,1,29,1,30,2,28,88,7,1,11,1,17,1,11,1,17,1,11,1,16,3,11,1,16,1,11,2,9,1,11,1,9,3,8,1,9,1,13,2,8,1,13,1,6,2,7,1,24,1,6,3,30,1,28,2,29,1,28,37,13,1,28,29,6,1,30,3,28,7,13,1,9,1,30,1,7,1,13,1,30,1,6,1,28,2,6,1,30,1,28,14,9,2,13,2,9,2,6,1,28,4,30,1,28,5,30,1,13,1,9,2,13,1,9,1,13,2,30,1,28,11,13,1,9,1,11,1,13,1,30,1,6,1,13,2,9,2,13,3,30,1,6,1,13,2,6,1,13,3,6,2,29,2,13,1,6,1,13,2,7,1,9,1,13,3,9,1,13,3,9,1,8,1,13,1,9,2,8,1,6,1,11,1,17,2,9,1,11,1,10,1,9,1,16,1,11,2,9,1,13,1,7,3,13,1,9,1,13,2,6,1,13,1,7,1,13,1,6,1,13,1,9,1,6,1,28,1,13,4,8,1,28,1,6,1,13,2,30,1,6,2,13,1,6,1,13,1,6,1,30,1,13,1,6,2,30,1,6,1,13,2,6,1,13,2,28,1,13,4,6,1,13,2,8,1,6,1,13,5,6,1,9,1,13,1,9,1,13,2,8,1,13,2,8,1,13,3,9,2,13,1,9,1,13,1,8,2,9,1,8,1,9,2,8,1,9,2,13,1,11,1,9,3,13,1,9,2,11,1,9,3,13,1,11,3,16,3,11,1,16,1,13,1,28,12,30,1,28,2,30,1,6,1,29,1,6,2,13,1,6,2,13,1,6,1,13,2,6,1,13,2,30,2,13,1,6,1,30,1,13,1,30,1,6,1,13,1,6,2,29,1,30,1,28,1,30,1,6,2,30,1,6,1,30,1,6,3,28,1,13,1,6,1,30,2,6,2,30,1,6,1,7,1,6,1,30,2,13,1,30,2,6,1,30,2,6,2,30,1,29,1,30,1,13,1,30,1,6,4,30,1,13,1,10,1,6,1,30,1,6,1,13,1,30,2,6,1,30,1,6,1,30,3,28,1,6,1,30,1,13,1,28,1,6,1,29,1,30,1,6,1,30,2,6,1,28,1,13,1,6,3,28,1,6,1,13,2,6,5,30,3,6,2,29,1,6,1,13,1,6,2,13,3,6,1,13,1,6,1,8,1,6,5,13,1,6,4,13,2,6,2,13,2,6,2,13,1,7,1,6,2,7,1,30,1,13,1,6,2,13,7,6,1,13,1,30,1,8,1,9,1,13,1,28,1,6,2,30,1,6,1,13,2,6,1,13,1,7,4,13,5,6,1,13,1,6,1,13,3,6,1,13,3,7,1,13,3,6,1,13,1,6,3,13,1,6,1,30,1,7,1,29,1,6,1,13,3,6,1,30,1,6,5,13,1,6,1,30,1,6,4,30,1,6,1,30,1,7,1,28,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,7,1,13,3,6,3,30,1,6,1,30,3,28,1,30,1,6,2,30,1,29,1,28,1,6,1,30,1,29,1,6,1,30,1,6,2,30,1,6,3,30,1,29,1,28,1,30,2,6,1,28,2,30,1,28,3,6,1,30,2,28,1,30,1,28,2,30,1,6,1,28,1,29,1,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,6,2,13,1,6,1,29,1,30,2,28,1,6,1,28,1,30,2,29,1,28,1,30,3,6,1,30,1,6,1,30,2,28,2,30,1,29,1,30,5,28,2,30,1,28,1,30,1,28,2,30,2,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,1,28,2,30,2,28,1,30,1,28,1,30,1,28,1,30,4,28,1,6,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,30,3,28,1,30,2,28,1,30,2,6,1,30,2,28,4,30,1,28,1,30,3,28,2,30,2,28,1,30,4,28,1,6,2,30,7,28,1,30,2,28,1,13,2,7,1,13,1,30,1,28,1,6,2,30,4,6,1,30,1,28,1,30,3,28,1,6,1,30,1,6,1,30,1,28,1,30,1,28,2,6,1,28,1,30,1,28,1,6,1,28,1,30,3,6,1,30,2,6,1,29,1,6,2,29,1,30,2,6,2,30,1,29,1,30,2,28,1,30,1,28,1,6,2,30,1,6,2,13,1,29,1,13,2,30,1,13,1,6,3,28,1,30,1,28,1,6,2,28,1,6,1,29,1,28,1,30,2,28,1,30,2,6,1,30,1,29,1,30,2,6,1,28,2,30,1,6,1,29,1,30,1,6,2,30,3,28,2,30,3,6,1,28,1,30,1,28,1,30,4,6,1,30,2,29,1,6,1,29,1,30,1,6,1,28,1,13,3,6,6,13,1,7,1,6,10,30,1,6,1,30,1,6,1,13,1,30,1,6,2,30,2,6,2,28,7,30,1,28,38,6,1,28,1,29,1,28,1,30,1,28,8,7,1,30,1,7,1,8,1,6,2,25,1,6,1,7,1,6,1,7,1,6,1,8,1,6,1,7,2,8,1,13,3,6,2,8,1,6,1,7,4,6,1,8,1,6,2,13,1,6,2,13,1,28,1,13,1,6,1,7,1,6,2,7,1,13,2,8,2,7,1,29,1,6,1,13,1,6,2,28,1,13,1,7,1,13,1,7,1,10,1,8,1,13,1,7,2,8,3,13,2,24,1,9,1,10,2,12,2,17,3,10,1,17,7,10,1,17,1,11,1,7,1,13,1,9,1,10,1,9,1,11,1,12,1,17,1,12,1,17,1,11,1,8,1,30,2,28,1,30,1,6,1,29,1,6,2,30,1,6,1,13,1,6,11,30,1,6,1,30,2,6,2,13,1,7,1,6,2,13,2,6,2,29,1,6,3,13,2,6,5,13,2,30,1,13,1,6,2,13,2,6,5,13,1,7,1,13,1,8,1,13,1,30,2,6,1,30,2,28,23,30,1,29,1,28,1,29,3,6,3,28,1,30,3,29,1,6,1,28,1,30,1,28,1,30,1,6,1,28,2,30,1,13,1,29,1,13,1,25,1,13,2,6,1,8,2,24,1,10,1,24,2,8,3,10,1,24,1,10,1,13,1,8,1,10,1,8,1,12,1,13,1,8,1,9,1,24,1,8,3,9,1,8,1,12,1,17,9,12,1,17,5,12,1,11,1,17,1,8,1,6,1,13,1,28,2,6,1,13,2,8,1,13,3,6,1,8,2,7,1,6,2,28,1,7,1,30,1,6,1,30,2,6,1,29,1,6,1,29,1,28,4,30,2,28,1,30,1,28,4,30,1,28,1,30,1,6,1,30,2,28,2,6,1,30,1,27,1,29,1,28,1,27,2,25,2,26,1,10,1,24,1,8,1,24,2,25,1,10,1,25,1,24,1,10,1,24,1,8,1,24,2,10,1,8,1,10,1,8,1,12,1,10,1,24,1,8,1,10,1,7,1,12,1,8,1,9,1,10,1,24,1,12,1,9,1,17,1,12,2,9,1,17,1,10,1,17,1,11,1,10,1,12,2,9,1,17,2,12,1,17,1,12,1,17,4,12,1,17,1,12,1,17,3,12,1,24,1,17,1,12,1,17,1,12,2,17,1,9,1,10,1,12,1,11,1,17,1,12,1,17,1,24,2,8,1,12,1,10,1,8,3,24,3,12,1,24,1,8,1,24,3,10,1,24,1,8,1,24,1,8,2,10,1,8,1,24,1,10,1,8,1,24,1,10,1,12,1,24,2,12,2,24,1,8,1,24,1,8,2,24,1,13,1,24,1,8,1,12,1,8,2,24,1,13,1,10,1,7,1,13,1,10,1,13,1,24,2,12,1,8,1,10,1,24,2,8,1,24,2,8,1,10,2,24,1,12,1,8,1,17,1,10,1,17,1,24,1,9,1,24,1,12,1,7,1,12,3,24,1,8,1,12,1,13,1,17,1,24,4,8,1,24,1,8,1,10,1,24,5,13,1,9,2,10,1,24,2,12,1,9,1,24,1,12,1,9,1,11,1,9,2,17,1,9,1,10,1,12,1,8,1,10,1,9,1,7,1,9,2,8,2,13,2,8,1,13,2,9,1,8,1,13,4,8,1,13,3,7,1,6,2,8,1,30,1,6,2,7,1,13,1,10,1,13,1,8,1,13,1,8,1,13,2,8,1,7,1,13,1,6,1,30,1,6,1,30,1,6,1,13,2,28,1,6,1,29,2,13,4,6,1,30,1,28,1,29,1,30,3,28,22,30,1,28,3,30,1,28,26,29,1,6,1,9,1,28,11,30,1,28,1,6,1,9,1,14,1,9,1,10,1,11,1,8,2,9,1,13,1,24,1,8,1,13,1,7,1,13,1,7,1,6,1,8,1,6,1,13,2,8,1,10,1,24,1,17,1,16,1,12,1,17,1,9,1,30,1,28,6,30,1,9,1,12,1,13,1,7,1,30,1,28,35,24,2,13,1,6,1,30,1,7,1,17,1,9,1,10,1,24,1,8,1,13,1,6,1,8,1,7,1,24,1,12,2,15,1,12,1,17,1,13,1,28,1,6,1,30,1,6,1,30,1,9,1,17,1,9,1,6,1,28,1,30,1,28,1,30,1,13,1,6,1,10,1,9,2,10,1,17,1,12,2,17,1,11,1,13,3,7,1,17,1,12,1,9,1,29,1,30,1,28,1,8,1,11,1,13,1,30,1,28,4,29,1,28,42,13,1,8,1,24,1,13,1,28,9,}, {6,1,8,1,13,1,6,1,30,1,6,1,29,1,28,1,6,1,28,1,30,1,28,1,13,1,30,1,7,1,30,3,28,2,30,1,28,2,30,1,28,8,30,1,28,1,30,2,7,2,13,5,9,2,10,1,9,1,11,1,17,3,12,1,13,1,8,1,13,1,30,1,28,9,30,1,6,1,13,2,28,5,6,1,9,1,8,2,7,1,28,1,30,2,29,1,30,1,28,1,30,1,28,4,7,1,12,1,24,1,6,1,28,47,29,1,13,1,12,1,15,1,8,1,28,4,8,1,12,1,9,1,8,1,28,1,13,2,8,1,10,1,15,1,24,1,8,2,6,1,30,1,29,1,28,4,30,1,8,1,9,1,8,1,6,1,28,5,24,1,12,1,17,1,9,2,24,1,13,2,9,1,13,1,8,2,24,1,8,1,15,1,10,1,8,2,6,1,8,1,24,1,13,1,6,1,30,1,28,32,29,1,6,1,29,1,30,1,13,1,24,3,8,2,30,2,28,1,30,1,8,1,12,1,17,1,13,1,24,1,8,1,24,1,13,1,7,1,6,2,13,1,6,1,29,1,13,1,6,1,28,1,7,1,13,1,6,1,13,1,8,2,24,1,12,1,10,1,17,5,16,1,13,1,28,43,29,1,9,4,11,1,9,2,13,1,9,1,13,1,30,1,28,1,30,1,28,2,6,1,7,1,13,1,9,1,16,1,9,3,11,2,9,1,11,3,16,1,11,1,9,1,11,1,16,1,11,1,16,1,11,2,16,1,11,1,16,4,11,1,16,3,11,1,16,1,17,1,16,1,11,2,17,1,9,2,13,1,6,1,13,1,9,1,13,9,9,1,13,2,9,1,13,2,9,1,13,2,9,1,13,4,6,1,13,3,6,1,9,1,11,3,10,1,16,1,9,1,16,1,11,3,9,2,16,1,11,2,10,1,9,1,11,4,9,1,16,1,11,1,10,2,11,3,9,1,10,1,9,1,10,1,11,1,16,1,9,2,10,1,8,1,9,1,8,1,9,1,13,2,8,2,13,1,7,1,13,2,6,1,7,1,6,1,29,1,6,1,29,1,6,2,30,1,28,90,29,1,13,1,9,1,11,1,17,2,16,3,11,2,16,1,17,1,11,1,17,1,11,1,10,1,9,1,8,1,9,1,8,1,9,1,13,2,8,1,13,2,6,1,13,1,6,1,7,1,6,2,28,1,30,1,28,38,6,1,28,30,30,1,13,1,30,2,28,6,6,1,13,2,30,1,6,1,13,2,6,1,28,1,30,2,6,1,28,14,13,3,9,3,13,1,28,2,30,1,6,2,28,6,8,1,9,1,13,1,9,3,7,1,30,1,28,11,13,2,9,2,13,1,6,1,13,3,9,2,13,5,6,1,13,1,6,1,13,2,30,1,6,1,30,2,6,1,28,1,13,5,9,1,13,3,9,1,13,3,8,2,9,1,13,1,9,2,17,2,16,1,9,2,16,1,9,5,8,1,9,1,13,1,6,1,29,1,6,1,13,1,30,1,13,2,8,1,13,2,6,1,30,1,7,1,13,1,6,2,13,1,30,1,9,1,13,3,9,1,7,1,28,1,13,1,30,1,13,2,28,1,13,1,6,2,13,1,6,1,13,2,30,2,6,2,13,1,6,1,30,1,13,1,28,1,13,4,9,1,13,1,8,1,13,1,6,1,13,1,8,2,7,1,13,2,9,1,6,1,13,2,6,1,13,1,8,1,9,2,13,1,9,1,13,2,6,1,9,1,8,1,7,1,9,3,13,1,11,1,10,1,11,1,9,2,13,1,11,1,13,1,9,1,11,1,10,1,11,2,9,1,11,1,17,1,9,1,11,1,9,1,11,1,9,1,7,1,28,12,6,1,30,2,6,1,30,1,29,1,13,1,30,1,6,2,13,1,28,1,6,1,13,1,6,4,30,1,6,2,13,1,6,1,7,1,6,2,29,1,13,1,9,1,13,1,6,2,13,1,6,3,30,1,29,1,30,1,6,1,30,1,6,9,30,1,6,1,30,1,6,1,30,1,6,2,30,1,6,5,30,1,6,1,7,1,28,1,30,1,6,2,30,1,6,1,30,2,6,1,29,1,6,2,29,1,6,1,30,4,6,1,30,1,6,1,29,1,7,1,30,4,6,1,30,2,6,2,13,1,6,5,7,1,6,1,30,1,13,1,30,1,6,2,13,1,30,1,6,1,13,4,30,1,6,1,13,1,7,1,13,1,30,2,6,1,13,1,6,3,29,1,6,5,13,7,6,2,13,1,6,2,13,1,6,1,7,1,13,1,30,1,6,2,13,1,6,1,13,2,6,1,13,2,6,1,13,2,7,1,9,1,11,1,28,1,6,2,7,1,13,2,29,1,6,1,13,1,7,2,13,1,7,2,13,1,7,1,6,1,13,6,6,1,13,2,6,1,30,1,6,1,13,1,6,2,7,1,6,3,7,1,30,1,13,1,6,1,13,2,30,1,13,2,7,2,6,2,13,1,6,1,13,1,6,4,7,1,13,2,7,5,6,3,28,1,6,2,7,1,6,1,13,4,6,1,13,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,30,1,6,1,29,2,6,1,30,1,6,2,13,1,30,1,6,1,30,1,29,2,30,1,13,1,30,1,13,1,30,1,6,3,30,1,6,1,30,3,6,1,29,1,30,1,29,1,30,3,28,1,6,1,30,2,6,1,30,1,28,1,29,1,6,1,30,1,6,1,30,3,6,1,28,2,30,2,6,1,30,1,6,2,13,1,6,2,30,2,28,1,6,1,28,1,30,1,7,1,28,1,30,1,6,1,29,1,30,3,6,1,30,2,28,1,29,1,28,1,30,2,28,1,30,2,28,1,30,1,28,1,30,2,28,2,6,1,30,7,28,1,30,2,28,2,30,7,28,1,30,1,6,1,30,1,28,2,30,1,28,1,6,1,30,3,29,1,28,1,30,3,28,2,30,2,28,1,30,1,6,1,30,2,28,4,30,1,28,1,30,1,28,1,30,2,28,1,13,1,30,4,6,1,30,2,28,1,30,4,6,1,30,2,28,1,30,3,28,1,30,2,7,1,13,3,30,1,7,1,6,2,28,1,30,5,28,1,6,1,30,1,29,1,6,3,30,3,28,2,30,1,28,1,30,1,28,2,30,2,28,2,30,1,6,2,30,2,6,1,28,1,30,4,29,1,30,2,28,1,6,1,30,1,28,1,6,1,28,1,30,2,6,1,30,1,6,3,30,1,7,1,6,1,7,1,13,1,6,1,30,2,6,1,30,1,29,1,30,4,6,1,30,1,28,1,30,1,6,1,28,2,6,1,28,2,30,1,28,1,30,2,6,1,28,1,30,1,6,1,30,2,28,1,30,1,28,1,30,1,29,1,30,1,28,4,30,1,28,1,6,1,28,1,6,2,29,1,30,3,6,2,30,1,6,3,30,2,6,3,29,1,6,2,30,2,6,1,30,1,28,1,30,2,6,3,30,1,6,2,30,3,6,3,30,2,29,1,30,1,6,3,28,20,30,1,28,6,30,2,28,1,29,1,7,1,28,9,29,1,28,5,30,1,28,1,29,2,28,6,6,1,28,1,6,2,29,1,7,1,6,1,8,1,6,2,29,4,6,1,29,2,6,1,28,1,30,1,6,1,29,2,7,1,6,2,30,1,13,1,6,2,7,2,6,2,29,2,6,4,29,1,6,1,7,1,29,1,6,1,29,1,30,1,6,2,29,1,6,3,8,1,13,1,6,1,7,1,6,2,29,1,6,1,8,1,24,2,8,1,24,1,8,1,24,1,8,1,24,2,10,1,9,1,10,1,11,1,12,2,17,3,12,1,17,1,12,1,17,1,12,1,17,1,12,1,10,1,13,1,9,1,8,1,13,1,9,2,8,1,11,2,12,1,11,3,30,1,29,1,6,2,13,1,6,2,29,1,6,3,29,1,6,1,13,1,6,1,13,1,7,1,6,2,13,2,30,2,6,4,30,1,6,3,7,1,6,1,28,1,29,1,30,2,6,3,30,1,6,1,13,1,6,1,13,1,6,4,13,1,6,4,30,1,6,1,13,1,6,1,7,1,30,1,13,1,7,1,13,4,7,2,6,1,13,1,6,1,13,3,28,8,8,1,28,6,30,1,28,6,7,1,28,1,30,1,7,1,28,1,6,1,28,1,29,2,28,1,30,2,28,1,30,1,28,1,29,1,28,2,7,2,6,1,29,1,30,1,7,1,6,1,7,1,13,2,8,1,13,1,24,2,7,1,13,1,24,2,8,1,13,1,8,1,12,2,24,1,8,1,24,3,10,1,13,1,8,1,7,1,8,1,7,1,17,1,12,1,9,1,17,6,12,1,11,1,17,2,12,1,17,7,12,1,17,1,10,1,13,1,6,3,28,2,13,1,6,2,7,1,30,1,8,1,6,2,29,1,13,1,30,1,29,1,6,1,29,1,30,1,29,1,6,1,29,1,30,1,6,1,29,2,6,2,30,1,28,1,29,1,30,1,29,1,30,1,28,1,30,2,29,1,28,1,29,2,6,1,29,1,27,1,29,1,28,1,29,1,25,2,27,1,24,1,27,1,8,1,25,1,24,1,8,1,24,1,25,1,24,1,8,1,24,1,8,1,13,1,12,1,13,1,10,1,24,3,10,1,24,1,12,1,24,1,8,1,24,1,12,1,9,1,24,1,12,1,24,2,12,1,9,1,12,1,24,2,17,1,12,1,11,1,12,2,17,2,10,1,12,1,17,1,11,1,17,3,9,1,12,2,17,4,10,1,12,1,11,1,17,1,12,1,17,1,9,1,17,1,12,1,11,1,10,1,17,2,11,1,10,1,12,2,9,1,12,1,24,1,9,1,13,1,10,1,12,1,9,2,8,1,10,1,12,1,8,1,10,1,13,1,24,1,10,1,8,1,13,2,8,1,7,1,24,1,8,1,13,1,10,2,17,1,12,1,8,1,13,1,8,1,12,1,24,2,13,1,12,1,24,1,8,1,13,1,8,2,24,1,13,1,24,1,8,1,24,1,12,1,9,1,24,1,8,1,7,2,24,1,12,1,24,1,8,1,24,1,8,4,7,1,24,2,17,1,24,2,10,1,24,1,10,1,9,1,8,1,13,1,24,1,10,1,13,1,9,2,8,2,24,1,8,1,12,1,10,1,24,1,8,1,10,1,7,1,24,2,13,1,8,1,24,2,8,1,24,2,8,2,12,1,9,2,12,1,10,1,12,1,8,1,11,1,24,1,10,1,24,1,8,1,12,3,9,1,10,1,9,2,13,1,9,1,13,1,8,1,13,1,8,1,9,1,13,2,8,1,9,1,13,1,9,1,13,1,8,1,13,6,6,1,7,1,29,1,13,1,6,1,7,1,13,2,30,1,8,1,13,1,6,1,13,1,6,1,13,5,6,1,13,1,6,1,13,1,28,1,6,2,28,2,30,2,7,1,13,2,30,1,13,1,7,1,29,1,6,1,28,1,30,1,28,3,30,1,28,52,6,1,9,1,30,1,28,4,30,1,28,1,30,1,28,5,7,1,14,1,15,2,10,1,9,1,13,1,6,1,24,1,13,1,8,1,13,3,6,1,13,1,24,2,13,2,8,1,13,1,24,1,9,1,10,1,17,2,16,1,10,1,29,1,28,6,6,1,9,3,6,1,28,36,15,1,9,1,6,1,29,1,30,1,6,1,10,1,15,1,12,1,24,1,13,1,6,1,28,1,7,2,13,1,17,1,12,1,14,1,17,2,13,1,30,1,28,1,6,1,28,1,6,1,9,1,17,1,10,1,30,2,28,2,6,1,8,1,13,1,9,3,17,5,9,1,13,1,28,1,6,1,29,1,11,1,17,2,28,2,30,1,11,1,12,1,9,1,13,1,28,1,30,1,28,1,30,1,28,34,30,1,28,8,8,1,10,1,9,1,8,1,28,9,}, {30,1,6,1,28,1,30,1,29,1,28,1,30,1,28,6,8,1,28,2,29,1,30,1,6,1,28,1,30,1,7,1,30,1,28,3,30,1,28,3,29,1,28,1,30,1,28,1,6,1,30,1,7,1,30,1,13,2,8,1,13,1,10,1,8,3,9,2,17,3,12,1,13,2,7,1,28,11,6,1,8,1,13,1,28,5,6,1,8,2,6,4,28,1,6,1,28,1,29,2,28,4,7,1,8,2,6,1,30,1,28,44,30,2,29,1,13,1,24,1,15,1,7,1,29,1,28,3,13,1,12,1,8,1,6,2,7,1,13,1,10,1,24,1,12,1,8,1,13,1,8,1,28,1,30,1,28,3,29,1,28,1,30,1,24,1,8,1,6,2,30,1,28,3,13,1,9,1,17,1,16,1,11,1,8,1,24,1,13,1,8,1,24,1,8,3,9,1,10,1,12,1,9,2,13,2,8,3,30,1,28,32,30,2,6,1,30,1,29,1,6,1,24,1,10,1,15,1,8,1,6,2,30,1,28,2,8,1,14,1,15,1,8,3,13,1,8,2,7,1,6,1,13,1,29,1,6,1,29,1,13,1,29,1,7,1,6,1,7,1,6,1,13,1,8,1,12,2,16,1,17,3,14,2,12,1,6,1,28,40,30,1,28,1,13,1,9,1,11,1,16,2,9,2,13,1,9,2,13,2,7,1,13,1,9,1,16,1,17,4,16,2,9,6,11,3,16,2,11,1,9,2,16,5,17,3,11,1,16,1,17,1,16,2,11,1,16,1,9,1,16,1,9,3,13,6,9,2,13,2,9,3,8,1,13,2,9,1,10,1,9,2,13,1,9,2,8,1,13,4,9,1,8,1,13,1,6,1,13,3,9,1,11,3,16,2,9,1,11,3,16,1,11,1,9,1,11,4,9,1,11,3,9,1,16,1,11,1,9,2,11,1,9,2,10,1,9,3,10,2,9,1,10,1,9,1,10,1,8,1,13,1,9,2,13,6,6,1,7,1,6,2,30,1,6,4,28,1,29,1,28,89,13,1,17,1,9,1,11,1,17,2,16,2,11,1,17,1,11,1,17,1,10,1,11,2,9,2,8,1,9,2,13,1,8,1,7,1,8,1,13,1,7,1,29,1,6,1,29,1,6,1,30,1,29,1,6,1,30,1,28,5,30,1,28,34,6,1,28,29,6,1,30,1,28,9,13,2,7,1,30,1,13,2,30,5,28,2,30,1,28,12,13,2,9,1,13,1,9,3,28,3,9,1,13,1,28,6,13,3,9,1,13,2,7,1,28,13,13,1,9,2,13,1,6,1,13,7,8,1,6,1,13,4,6,1,13,2,6,1,13,1,6,1,30,1,6,1,13,5,8,1,13,2,9,1,13,1,7,1,6,1,13,2,9,4,11,1,17,2,16,2,9,1,11,1,9,1,16,1,13,1,9,2,8,1,13,1,7,1,8,1,6,1,13,2,28,1,30,1,29,1,13,2,30,1,13,1,6,1,13,1,30,1,6,1,13,2,28,1,9,1,13,1,6,2,13,3,6,1,7,1,13,1,6,2,13,1,6,2,7,1,13,1,6,1,13,1,9,1,13,1,30,1,13,3,7,1,13,2,6,1,9,1,13,2,9,1,13,3,9,1,13,3,6,2,9,1,8,1,13,1,8,1,13,1,6,1,9,1,7,1,8,1,9,1,13,6,9,4,11,1,9,2,8,1,9,2,11,1,13,2,9,2,11,1,10,1,11,1,16,3,11,1,9,1,16,1,11,1,13,1,6,1,28,13,6,3,30,1,6,5,7,1,6,2,30,1,13,2,6,1,13,1,30,2,6,4,30,2,6,3,28,1,6,1,13,2,7,1,13,1,30,1,13,1,6,1,29,1,13,3,6,2,13,1,6,1,30,1,13,1,6,2,30,1,13,1,6,1,13,1,6,1,13,1,30,1,7,1,6,3,7,1,30,1,13,1,6,1,7,1,6,1,13,1,6,1,29,2,30,2,13,2,6,2,29,1,13,1,7,1,6,4,13,1,29,1,13,1,6,1,7,1,6,2,7,1,6,1,7,1,29,1,7,1,6,2,30,2,6,2,13,1,6,1,7,1,6,7,29,1,6,1,28,1,13,1,6,4,13,1,30,1,6,3,29,1,7,1,30,1,13,2,30,1,13,2,6,1,13,1,7,3,6,1,13,1,8,1,13,3,6,1,13,2,6,2,30,1,13,1,6,4,13,2,6,1,13,1,6,3,13,1,7,1,6,1,7,1,30,1,9,2,30,1,6,3,13,1,30,1,6,3,7,1,6,2,13,1,6,1,13,2,7,1,6,1,13,1,6,1,13,2,6,1,13,6,6,1,13,4,6,1,13,2,6,1,30,1,6,1,30,1,6,4,7,1,30,1,6,2,13,1,6,6,7,1,6,1,13,1,6,1,7,1,6,2,13,1,6,1,13,2,6,1,13,1,30,1,6,1,7,1,13,3,6,1,13,3,6,4,29,1,13,1,30,1,6,6,7,1,13,1,7,1,13,2,7,1,6,1,7,1,30,1,6,3,13,1,6,1,29,1,30,2,6,2,30,4,6,1,29,1,30,1,6,1,30,1,28,1,6,1,28,1,6,4,30,1,6,1,30,1,6,2,30,1,28,1,6,1,30,2,13,1,6,1,30,1,6,3,30,1,28,1,29,1,6,3,30,3,6,1,30,1,6,1,30,1,28,1,6,1,30,3,7,1,30,2,6,1,30,2,6,1,28,1,30,1,6,1,30,3,28,1,30,4,6,1,30,8,6,3,28,1,6,1,30,2,28,1,6,2,30,2,6,2,28,1,6,1,13,1,30,1,6,3,30,3,6,1,30,1,6,2,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,1,30,2,28,2,30,1,28,1,30,2,6,1,28,1,29,1,30,3,28,2,30,1,28,1,30,1,6,1,30,1,28,1,30,7,28,2,13,1,9,1,13,1,6,1,30,1,29,1,30,3,28,1,6,1,28,1,30,1,6,1,28,1,6,1,30,3,6,1,30,1,28,1,6,1,30,1,29,1,30,6,28,1,30,5,29,1,30,1,28,1,7,1,6,2,28,1,6,2,30,2,28,1,30,5,28,1,30,2,6,1,30,3,6,2,13,3,6,1,13,1,30,1,6,1,30,5,28,3,30,2,28,1,30,4,6,2,30,3,29,1,30,2,6,1,30,1,7,1,30,3,6,1,30,1,28,1,30,1,28,1,30,3,6,1,30,2,6,3,28,2,30,1,28,1,30,3,6,1,30,1,28,1,6,1,30,1,6,4,29,1,30,4,29,1,30,2,28,1,6,2,30,4,28,1,30,1,6,1,28,1,6,2,30,1,6,1,30,4,6,1,30,2,28,20,13,1,30,1,6,3,13,2,10,2,12,1,9,2,13,1,6,1,28,14,30,1,28,6,30,1,29,1,6,1,29,1,7,1,29,1,8,1,7,1,8,1,6,1,29,1,6,2,29,1,7,1,30,1,29,1,6,1,30,1,6,1,28,1,6,1,29,1,30,1,29,1,6,3,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,29,1,30,3,28,1,6,1,30,1,6,2,7,1,13,1,6,3,13,1,6,2,30,1,13,2,6,1,13,1,10,1,13,1,6,1,13,1,8,2,7,1,9,1,24,2,8,1,24,1,10,1,24,1,10,2,9,1,12,1,10,1,17,6,12,1,24,1,11,1,17,1,9,1,8,3,9,1,13,1,8,1,9,1,8,1,10,2,12,1,17,2,9,1,6,1,30,1,6,6,30,1,6,2,30,1,8,1,30,1,6,4,29,1,28,1,6,1,30,2,6,2,30,1,13,1,30,1,6,2,28,1,6,1,30,1,6,2,30,1,6,3,28,1,13,1,6,1,13,1,6,2,30,1,6,3,30,1,6,1,13,1,6,6,13,1,6,1,13,1,6,1,30,1,13,1,6,2,13,3,6,1,13,3,28,8,6,1,28,10,29,2,28,1,29,1,6,1,29,1,7,1,28,1,29,1,30,1,28,1,6,1,28,1,30,1,28,1,30,3,28,1,29,1,28,1,29,1,6,1,29,1,7,1,13,1,6,1,7,1,6,1,29,1,24,1,7,1,8,1,24,2,13,1,24,1,13,2,8,1,12,1,10,1,24,3,8,1,24,1,8,1,13,1,10,1,13,1,10,1,24,1,12,1,24,1,9,1,8,1,9,2,12,1,17,1,12,1,17,6,12,2,10,1,17,3,12,1,11,1,17,5,11,1,13,2,28,3,30,1,28,2,30,1,13,1,30,1,6,1,29,1,6,1,30,1,13,1,28,1,6,1,30,1,29,1,28,1,6,1,30,1,29,1,30,1,28,1,30,1,28,4,6,1,28,1,30,3,6,1,30,1,28,1,30,1,29,3,30,1,28,1,6,1,28,1,25,1,28,1,25,1,27,1,25,1,29,1,26,1,6,1,24,2,8,1,24,3,8,1,12,1,10,2,24,1,10,3,8,2,24,2,10,2,24,1,12,3,9,1,17,1,8,1,10,1,17,1,9,1,10,1,11,1,12,1,10,1,17,2,11,1,17,1,12,3,10,1,17,1,12,1,17,1,12,3,17,2,10,1,12,1,17,1,12,1,17,1,9,1,12,2,17,1,24,1,17,1,12,2,9,1,17,1,11,1,12,2,24,1,11,1,10,1,8,2,12,2,10,1,9,1,10,1,8,1,24,1,7,1,12,1,8,3,24,2,10,1,24,1,8,1,12,1,24,1,8,2,24,1,8,2,12,1,8,2,24,1,9,1,24,2,8,1,24,3,13,1,8,1,12,1,6,1,8,1,13,1,8,1,12,1,7,1,8,1,10,1,24,2,13,1,10,1,24,1,9,1,10,1,9,2,13,1,24,2,10,1,8,1,24,1,10,1,8,1,24,3,9,1,10,1,12,1,8,1,10,1,24,1,9,1,8,1,24,1,12,1,10,1,24,1,10,1,24,1,10,1,24,1,8,2,24,5,8,1,24,3,13,1,12,1,8,1,13,1,8,1,13,1,12,1,8,1,12,1,9,1,24,1,12,2,17,2,10,1,9,1,11,1,12,1,9,1,13,1,9,1,13,1,8,1,9,1,13,3,8,2,13,4,8,1,9,2,8,3,13,4,9,1,13,1,6,1,13,3,6,2,8,1,13,3,6,3,13,1,9,1,6,3,28,1,30,1,28,1,6,1,13,1,30,1,28,1,6,1,28,1,30,1,13,1,28,1,30,1,7,2,6,1,28,56,30,2,8,1,6,1,28,7,30,1,28,5,13,1,11,1,14,1,10,1,17,1,10,1,9,1,29,1,13,3,8,1,6,1,29,1,6,2,13,1,29,1,8,2,13,1,9,2,12,2,9,1,12,1,11,1,10,1,28,7,6,1,9,2,8,1,29,1,28,36,14,1,24,1,6,2,30,1,6,1,15,1,10,1,24,1,8,1,6,1,7,1,6,1,13,3,12,1,14,1,15,1,17,1,9,1,13,1,29,1,28,1,7,1,6,1,28,1,12,1,17,1,9,1,6,1,28,2,30,1,6,1,13,2,9,1,12,1,17,3,16,1,17,1,12,1,11,1,6,1,8,1,7,1,10,1,17,1,8,1,11,1,30,1,28,1,6,1,9,1,16,1,6,2,28,18,30,2,28,26,30,1,13,1,11,1,13,1,9,1,28,9,}, {28,1,6,1,28,2,6,1,28,3,6,1,28,1,30,1,28,1,30,1,7,1,28,9,29,1,6,1,28,2,30,1,28,3,6,1,7,1,29,1,6,3,13,4,8,1,13,1,9,3,8,1,9,1,17,2,11,1,17,1,9,1,8,1,6,1,28,11,8,1,9,1,13,1,28,4,30,1,29,2,30,1,6,1,28,2,30,1,29,1,28,1,30,1,28,6,6,1,9,1,8,1,6,1,28,45,29,1,30,1,6,1,7,1,9,1,12,1,10,1,28,4,13,1,15,1,24,1,6,2,8,1,24,1,15,1,10,1,12,1,10,1,8,1,7,1,30,1,28,7,24,1,13,2,6,1,30,1,28,3,6,1,9,1,17,1,12,1,9,1,8,2,13,1,8,2,24,1,9,1,24,1,8,1,24,1,17,1,10,1,9,1,7,1,8,3,7,2,28,33,30,1,28,1,6,2,29,1,8,1,12,1,10,1,9,1,6,2,28,1,29,1,28,1,13,1,14,1,15,1,24,1,9,1,8,1,13,1,24,1,6,1,7,1,29,1,8,1,6,1,13,1,6,1,29,3,13,1,6,1,13,2,9,1,8,1,10,1,12,2,17,2,14,1,17,1,16,1,13,1,28,2,30,1,28,34,30,1,6,1,28,1,29,1,6,1,16,1,17,1,11,1,16,1,11,1,9,1,11,3,9,1,16,2,17,8,16,2,9,2,16,1,9,1,13,1,16,2,11,3,9,1,16,1,11,1,16,2,11,1,16,1,17,5,16,2,17,1,11,2,16,1,9,3,13,4,9,1,13,4,9,1,13,1,9,3,13,2,9,1,13,1,9,1,13,1,8,1,13,1,9,3,13,2,9,1,13,2,30,1,6,1,30,1,28,2,30,1,7,1,13,1,9,1,16,1,11,2,17,1,11,2,10,1,16,1,9,1,11,9,9,1,11,1,9,2,10,1,9,2,11,3,9,1,11,2,10,1,11,1,9,2,13,1,9,5,13,1,8,1,13,1,8,1,13,1,29,2,13,1,29,1,13,1,7,1,6,1,30,1,6,1,29,2,28,89,6,1,11,2,17,1,11,1,16,1,17,1,16,1,17,2,9,1,11,1,10,1,16,1,9,1,10,1,11,1,8,1,12,1,11,1,8,2,9,1,8,1,13,2,6,4,13,2,29,1,28,2,30,2,28,68,30,1,28,1,6,2,28,6,30,1,13,3,30,2,13,1,6,2,30,1,28,2,6,1,28,2,30,1,28,12,30,1,9,2,13,2,9,2,28,1,30,1,13,1,8,1,13,1,30,1,28,5,30,1,9,1,13,1,9,1,13,1,9,1,13,1,6,2,28,11,13,1,11,1,9,1,13,1,6,2,9,1,13,1,9,6,13,2,6,1,13,1,6,3,13,3,28,2,30,1,13,3,8,1,9,1,8,1,9,1,13,3,6,1,13,1,9,1,11,2,9,2,17,2,16,2,9,4,13,1,9,1,7,1,9,2,13,1,9,1,13,1,6,3,30,2,13,1,6,1,28,1,6,2,13,2,30,1,6,2,7,1,6,2,28,1,6,1,13,3,6,1,13,1,28,1,13,3,29,1,30,1,13,1,30,1,13,3,6,2,13,4,7,1,6,1,13,2,9,2,13,1,8,1,13,3,9,1,13,4,9,1,13,2,9,1,13,3,9,3,13,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,13,1,9,2,11,1,9,2,11,1,13,1,9,2,11,1,9,1,11,2,9,2,16,1,11,2,9,3,30,1,13,1,28,14,30,1,6,7,30,1,6,1,13,1,30,1,13,1,6,1,13,1,6,1,13,2,30,1,6,1,30,1,7,1,6,7,13,2,6,1,13,1,6,1,7,1,6,2,7,2,13,2,6,1,13,2,6,1,13,3,6,1,13,3,30,1,13,1,7,1,13,1,6,1,7,1,6,3,29,1,6,1,13,2,30,1,13,1,6,1,29,2,7,1,6,2,30,1,13,1,29,1,6,1,13,2,6,1,13,3,6,2,30,2,6,2,13,1,6,4,30,1,13,2,6,3,13,3,30,2,7,1,6,3,30,2,29,1,13,1,6,2,30,1,6,2,7,1,6,2,7,2,6,1,13,1,7,1,13,1,30,1,13,2,30,1,13,1,6,1,13,1,6,1,30,1,13,2,6,1,13,1,6,1,29,1,13,3,6,2,13,1,6,1,7,2,13,1,30,1,6,1,13,1,6,2,13,1,6,1,13,2,6,2,13,1,30,1,29,1,13,5,30,1,6,1,13,1,28,1,13,1,7,1,30,1,13,2,6,3,13,1,6,4,13,1,30,1,13,2,6,2,13,4,6,3,30,1,6,1,7,1,13,1,6,2,13,1,6,3,13,3,29,1,13,1,6,2,30,1,7,1,13,1,6,2,13,1,6,2,13,1,6,1,13,2,6,1,8,1,13,1,6,4,13,1,7,1,13,1,6,1,7,1,13,2,6,1,13,2,6,2,7,1,13,1,6,4,13,1,30,1,13,1,6,1,30,1,6,3,13,1,30,1,6,1,7,1,13,2,6,1,7,1,30,1,6,2,28,1,13,2,30,1,6,1,30,3,6,1,30,2,6,2,30,1,6,1,30,1,28,1,30,2,13,1,6,1,30,2,6,2,30,1,6,3,28,1,6,1,30,1,29,1,30,1,29,1,30,2,6,1,30,1,28,1,30,2,6,2,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,1,29,1,30,1,6,1,7,1,30,1,6,1,29,1,30,1,6,1,28,1,6,3,28,1,30,2,29,1,30,1,6,2,29,1,30,1,6,1,30,1,6,1,30,6,6,1,30,1,6,1,29,1,30,1,13,1,30,1,6,1,30,2,6,1,30,1,29,1,6,1,7,3,6,2,28,1,29,1,30,2,13,1,6,2,29,1,6,2,30,2,7,1,6,1,28,1,6,1,30,2,29,1,30,2,28,1,30,3,28,1,30,1,6,1,30,2,28,1,30,1,6,1,30,2,6,1,30,1,28,2,6,1,30,6,6,1,28,1,6,1,9,1,13,1,30,2,29,1,30,2,6,2,28,1,6,1,30,1,6,2,30,3,6,1,29,1,30,2,28,1,6,1,30,4,28,2,30,1,28,1,30,2,28,1,30,4,6,1,30,1,6,1,30,2,6,1,30,3,6,1,28,3,30,2,6,1,30,5,6,1,30,2,13,1,6,1,30,1,13,3,7,1,28,1,30,4,28,1,30,1,28,1,30,2,28,1,30,4,28,2,30,2,28,1,30,2,6,1,28,1,30,3,28,1,30,1,28,1,30,4,28,1,30,1,6,1,30,1,28,3,30,1,28,2,29,1,30,1,28,1,30,2,6,1,30,1,6,2,28,1,30,1,6,1,7,1,6,1,30,1,6,2,30,1,29,1,28,2,30,1,28,2,30,2,28,1,30,2,28,1,30,3,6,1,30,2,6,2,28,1,30,2,28,1,30,1,6,1,30,3,28,19,6,1,11,1,10,2,24,1,9,1,17,1,11,1,17,1,12,2,10,2,9,1,7,1,28,21,30,1,6,1,30,1,7,1,6,1,29,2,30,1,29,1,30,1,29,1,28,1,6,3,30,1,29,1,30,1,28,1,30,1,29,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,29,1,30,1,29,1,6,1,30,1,29,1,28,1,29,2,6,1,30,2,28,1,7,1,30,1,6,1,30,1,6,1,29,1,6,1,28,1,6,1,7,1,6,1,7,1,29,1,7,1,6,2,24,1,13,2,24,1,8,1,24,2,8,1,24,1,10,2,24,1,12,4,17,1,12,1,17,3,12,2,17,1,9,2,12,2,13,1,7,1,8,1,13,7,9,2,11,1,10,1,17,1,13,1,7,1,29,1,6,3,13,1,6,4,30,1,6,2,13,3,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,4,30,3,28,1,30,1,28,1,6,1,28,1,30,1,6,1,28,1,13,1,6,2,30,1,13,1,30,1,13,1,6,1,30,1,6,2,30,2,13,1,30,1,6,2,30,1,7,1,6,4,13,3,6,4,8,1,11,1,7,1,29,1,28,6,30,1,6,1,29,1,28,11,6,1,28,2,29,1,28,1,7,1,30,1,6,1,28,2,6,1,28,2,6,1,30,1,29,1,6,1,30,3,28,1,13,1,30,2,29,1,6,1,7,1,8,1,13,1,7,1,8,1,7,1,24,2,9,1,8,1,7,1,24,1,7,1,8,1,10,1,7,1,10,1,8,1,6,1,12,1,24,3,12,1,24,3,8,1,9,1,12,1,10,3,17,1,12,1,11,1,17,1,12,1,17,1,9,1,17,1,9,1,12,1,9,1,17,1,12,1,17,3,9,1,17,5,11,1,8,1,13,1,7,1,28,4,6,5,30,1,7,2,28,1,6,1,30,2,29,1,30,1,6,1,28,1,29,1,28,7,30,1,29,1,30,1,28,1,30,1,6,2,30,1,6,1,30,1,28,4,26,1,29,1,25,1,27,2,25,2,26,1,25,1,6,1,8,2,24,1,8,1,24,1,8,2,24,1,17,1,12,1,9,1,10,1,12,1,13,1,17,1,24,1,8,2,10,1,9,1,10,1,8,1,12,1,10,1,12,1,11,1,12,5,17,1,24,1,17,1,12,1,9,1,10,2,12,3,17,1,12,1,17,1,9,1,17,1,11,1,17,2,11,1,17,4,12,1,10,1,9,2,12,1,24,1,10,1,12,1,9,1,12,1,10,1,9,1,11,1,12,1,11,1,8,1,12,2,8,1,13,1,12,1,8,1,24,2,8,2,7,1,8,1,13,1,24,2,8,1,7,1,8,2,10,1,8,1,24,1,9,1,24,1,9,1,8,1,24,3,10,1,8,1,24,1,10,1,8,1,10,1,7,1,24,1,10,1,8,2,24,1,8,2,13,1,24,1,9,1,8,1,7,1,24,2,8,2,24,1,8,1,10,2,13,1,12,1,7,1,8,2,10,1,24,2,10,1,24,2,9,1,12,1,10,1,12,1,24,1,10,1,9,1,24,1,8,1,13,1,10,1,8,1,24,1,8,1,10,1,24,1,9,1,24,1,8,2,10,1,24,3,8,3,24,1,8,1,10,1,9,1,8,1,24,1,8,1,10,1,9,1,24,1,9,1,17,1,11,2,10,1,9,1,8,1,9,1,7,1,9,1,8,1,10,1,11,1,13,1,8,2,13,6,8,1,7,1,9,1,13,3,8,1,13,7,8,1,6,1,13,3,6,1,7,1,13,1,6,1,7,1,13,2,30,1,13,1,30,1,28,1,30,2,6,3,30,1,28,4,30,1,28,1,30,1,6,1,28,1,30,1,28,2,30,1,28,1,6,1,28,28,30,1,28,25,6,1,13,1,6,1,30,1,28,5,30,1,28,1,30,1,28,4,13,1,14,1,16,1,15,1,12,1,9,1,24,1,7,1,6,1,7,1,24,1,29,1,6,1,30,1,6,1,28,1,6,1,13,3,9,1,10,2,11,2,12,2,17,1,8,1,30,1,28,6,6,1,9,2,17,1,30,1,6,1,30,1,28,33,30,1,11,1,24,1,7,1,29,1,7,1,6,1,15,2,8,1,13,1,6,2,8,1,24,1,8,1,24,1,7,1,9,1,14,1,12,2,7,1,13,1,29,2,28,1,29,1,24,1,17,1,9,1,28,2,30,1,28,1,29,1,6,1,7,1,15,1,24,1,12,1,17,1,11,1,17,3,11,1,6,1,13,1,6,1,9,1,11,2,9,1,28,2,29,1,8,1,17,1,9,1,6,1,28,5,30,1,28,40,29,1,24,1,9,1,10,1,29,1,28,8,6,1,}, {28,8,6,1,28,2,30,1,28,1,30,1,28,11,29,1,28,3,30,1,6,1,28,1,6,1,29,1,28,1,13,1,7,1,9,1,7,1,13,1,9,1,8,1,13,1,9,1,13,1,8,2,12,1,16,1,17,2,10,1,13,1,8,1,13,1,28,11,6,1,8,1,24,1,28,6,13,1,24,1,8,1,7,1,30,1,29,1,28,1,6,1,28,7,30,1,10,1,12,1,7,1,28,30,30,1,28,1,29,1,28,4,30,1,28,6,6,1,28,1,29,1,30,1,29,1,12,1,11,1,15,1,28,4,30,1,10,1,9,1,7,1,30,1,12,1,9,1,15,1,9,1,17,1,10,2,24,1,7,1,6,1,28,1,30,1,28,2,30,1,28,1,8,1,9,1,24,1,6,1,30,1,28,3,6,1,10,2,17,1,9,1,8,2,13,1,24,1,15,1,8,1,24,1,8,1,12,1,11,1,12,1,11,1,8,2,24,1,8,1,13,1,9,1,6,1,28,32,30,1,29,1,6,1,30,1,6,1,8,1,24,1,10,1,24,1,13,1,30,1,6,1,28,3,8,1,15,1,17,1,13,1,8,5,29,1,13,1,6,2,13,2,30,1,6,2,29,1,6,1,13,1,8,1,24,1,9,1,8,1,10,1,17,3,14,2,9,1,6,1,28,36,30,1,28,1,9,1,13,2,11,1,17,1,16,3,11,1,9,1,11,2,16,2,17,10,16,1,11,1,9,1,16,1,13,1,11,2,16,2,9,1,16,1,11,1,16,4,17,5,16,7,13,2,9,1,13,7,9,11,13,1,9,2,7,1,9,1,8,2,6,1,13,2,6,1,13,1,30,1,28,6,30,1,13,1,11,6,16,1,10,1,11,2,9,1,11,1,10,1,11,1,9,2,11,3,16,1,11,2,9,1,11,1,10,1,9,1,11,2,9,1,11,1,9,1,10,1,9,6,8,2,9,1,13,1,8,2,6,1,8,1,30,1,13,4,6,1,7,1,6,1,7,1,30,1,28,91,9,1,11,2,16,1,10,1,17,2,11,1,16,1,9,1,11,1,12,1,11,1,9,3,10,1,9,1,11,1,13,1,9,2,13,1,8,1,13,3,8,1,6,1,13,1,29,1,6,2,30,1,28,42,6,1,28,29,6,1,30,2,6,1,28,6,6,1,13,1,6,2,30,1,6,1,30,2,6,1,30,2,28,1,30,1,6,1,28,2,30,2,28,10,6,1,13,3,9,1,13,2,28,1,13,2,9,1,7,1,28,6,13,2,9,1,11,1,9,1,8,2,6,1,30,1,28,11,13,1,16,1,9,1,8,1,30,2,13,2,9,1,8,1,9,1,13,2,8,1,13,1,9,1,13,3,30,2,13,3,6,2,13,1,6,1,8,1,9,1,13,1,9,1,13,2,6,1,13,3,9,1,13,1,11,1,9,1,13,1,16,1,17,2,16,1,9,2,11,1,10,1,9,1,13,1,9,1,13,1,8,1,13,2,9,1,6,1,13,1,30,1,6,2,13,2,30,2,6,2,28,1,30,1,13,2,30,2,13,1,30,1,13,2,28,1,13,2,6,1,13,1,30,1,13,5,6,3,30,1,13,2,9,1,7,1,13,1,6,1,13,2,29,1,13,4,9,1,13,1,8,1,13,4,9,2,13,1,9,1,13,2,9,1,13,1,9,1,13,1,9,3,8,1,9,2,13,1,9,1,8,1,9,3,10,1,11,3,9,1,13,1,9,3,11,2,16,2,11,1,16,1,9,1,11,1,16,1,11,2,28,1,29,1,6,1,28,11,30,1,6,2,30,1,6,1,30,1,6,2,30,2,6,4,30,1,13,1,6,1,13,1,6,2,13,2,30,1,6,3,13,4,8,1,9,1,13,3,7,1,13,1,6,1,7,2,6,2,13,1,30,1,13,2,6,1,13,2,6,1,13,2,6,2,7,1,13,1,30,1,13,2,6,1,13,2,7,1,13,3,6,2,13,2,6,1,13,1,7,1,6,3,13,2,6,2,13,1,6,1,29,1,30,1,6,2,30,1,13,1,6,1,7,1,13,1,6,1,7,1,6,1,13,1,6,1,30,2,6,1,13,1,7,1,13,2,7,1,6,1,13,1,30,1,13,1,6,1,28,1,6,2,13,3,6,6,30,1,6,2,13,1,6,1,13,1,6,3,13,1,7,1,13,1,6,2,30,1,13,3,6,1,13,3,7,1,13,4,7,1,6,1,13,2,7,1,6,1,13,1,6,2,13,1,6,1,7,1,6,1,13,2,7,1,13,1,6,2,13,1,6,1,7,1,9,2,28,1,30,1,6,4,30,1,13,1,6,1,29,1,13,1,30,1,6,1,13,1,6,2,13,3,6,1,13,1,6,2,30,1,13,1,6,1,13,2,7,1,6,2,13,1,6,1,13,1,29,1,13,3,6,2,13,2,30,2,13,1,30,1,6,1,7,1,6,2,13,2,6,1,13,1,6,2,13,2,6,1,13,4,30,1,13,1,6,1,13,2,6,1,13,4,7,2,13,5,6,4,30,1,29,1,6,1,13,1,30,1,6,5,13,2,6,2,30,1,7,1,6,1,7,1,13,1,30,1,6,2,13,1,6,1,30,1,6,4,30,1,13,1,6,1,28,1,30,1,6,1,30,1,6,1,29,1,28,1,6,1,13,1,30,1,6,2,30,2,13,1,6,1,13,1,6,1,13,1,7,1,6,1,7,1,6,1,13,2,6,1,30,1,6,2,29,1,13,1,6,2,30,1,6,4,30,7,13,1,6,1,30,1,6,1,13,1,30,1,28,1,6,4,30,1,29,1,6,2,30,1,29,1,6,3,29,1,6,1,30,1,6,3,13,1,6,1,7,1,6,1,30,2,6,2,28,1,6,1,28,2,6,1,30,1,6,4,30,1,13,1,6,1,30,1,6,4,30,2,6,1,30,2,13,1,6,1,13,1,30,1,6,1,28,1,6,1,30,1,6,3,30,2,6,2,13,1,6,1,13,1,6,1,13,1,6,1,28,1,6,1,7,1,13,1,6,2,13,2,6,1,29,1,6,3,30,1,6,1,7,1,6,1,13,1,9,1,13,1,6,1,30,1,29,1,6,2,28,1,6,1,30,1,13,1,6,1,30,2,6,1,30,2,28,1,7,1,6,2,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,28,1,29,1,6,1,30,1,7,1,28,1,6,1,30,1,28,1,30,1,6,1,30,3,6,1,30,2,29,1,28,1,30,3,6,1,28,1,30,1,6,1,28,1,30,1,28,1,30,4,6,2,29,1,13,1,6,1,29,1,6,1,28,1,30,3,29,1,28,1,30,2,28,1,30,1,28,4,30,2,6,1,30,4,28,1,30,2,29,1,30,1,6,1,28,1,30,3,28,1,30,6,28,1,30,8,28,1,30,1,28,2,30,2,28,1,29,1,30,2,6,1,7,1,30,1,7,1,29,2,30,2,28,2,30,7,28,1,30,1,28,1,30,1,6,1,30,1,28,1,30,5,28,1,30,1,6,1,30,3,28,20,6,1,17,4,12,3,11,2,10,1,9,1,10,1,7,1,28,1,30,1,28,19,30,1,29,3,25,1,28,1,6,3,30,2,29,1,30,1,28,10,29,1,28,1,30,1,28,1,30,3,28,3,29,1,28,1,6,1,28,1,29,1,30,1,29,1,6,1,30,3,28,1,29,1,6,1,29,1,6,1,13,1,29,3,7,2,29,1,7,1,6,1,8,1,13,1,7,1,13,1,8,1,24,2,10,1,24,3,12,2,17,1,24,1,12,5,17,1,12,1,8,1,24,1,11,1,8,1,13,1,8,1,6,1,13,1,8,2,7,1,13,5,8,1,10,2,11,1,17,1,8,2,6,1,7,1,30,1,29,1,6,6,13,1,29,1,13,1,6,1,13,1,30,1,6,3,30,2,29,1,30,1,6,2,29,1,6,1,30,2,28,1,6,1,30,3,28,1,30,1,6,4,30,1,6,1,30,1,6,4,30,1,13,1,30,1,29,1,6,4,13,1,6,7,13,8,6,1,28,4,30,1,28,2,30,1,28,14,29,1,28,1,7,1,30,2,28,1,30,1,28,1,30,1,28,2,29,1,30,1,6,1,28,4,6,1,28,1,6,1,30,1,7,2,29,1,6,1,30,1,13,1,8,3,24,1,10,1,6,1,24,2,8,1,12,1,24,1,8,1,24,1,9,2,8,1,24,1,8,1,10,1,13,1,9,1,8,1,13,1,9,2,8,1,9,1,12,2,10,2,9,1,17,1,12,2,11,1,17,1,12,1,17,1,11,1,12,1,17,1,12,1,17,2,12,1,17,7,12,1,11,1,13,1,6,1,29,1,28,1,13,1,6,3,29,1,28,1,7,1,30,1,6,1,7,1,30,1,28,2,30,1,28,1,30,1,28,3,30,2,28,2,30,1,28,1,30,1,28,1,30,1,29,1,28,1,6,1,30,1,28,1,30,1,28,1,30,3,27,1,28,1,26,1,25,2,26,1,8,1,24,1,27,1,8,3,24,2,12,1,24,2,17,1,8,2,24,3,10,1,13,1,12,1,10,2,9,2,12,2,9,1,11,1,13,1,24,1,12,1,10,1,17,1,11,1,9,1,12,2,10,1,17,1,12,1,10,1,12,2,17,1,24,2,12,1,17,1,11,1,17,3,11,1,17,3,11,1,24,1,17,1,11,1,12,1,24,1,9,1,17,2,10,1,17,1,10,1,12,1,24,1,10,1,12,1,24,1,12,1,10,2,8,1,7,1,24,1,13,1,8,1,24,1,8,3,13,1,24,1,8,1,24,1,10,1,7,1,24,3,9,2,13,2,8,1,9,1,7,1,12,1,24,1,8,1,10,1,8,1,24,3,8,1,24,1,7,1,24,2,8,1,24,2,7,1,8,2,24,1,13,1,10,1,24,1,10,1,13,1,8,2,7,1,8,1,13,1,8,1,10,1,24,1,12,1,13,1,9,1,10,1,13,1,8,1,24,1,9,1,24,3,10,1,8,1,9,2,8,2,13,1,10,4,12,1,8,1,10,1,12,1,10,1,24,5,10,1,24,2,12,1,10,1,11,1,9,2,10,1,9,2,11,1,24,1,9,1,12,1,8,1,10,1,13,1,8,1,13,1,9,2,13,1,9,2,13,1,9,1,8,1,13,11,8,1,9,2,13,3,8,1,13,2,8,1,13,1,9,1,8,1,6,1,9,1,13,3,6,1,7,1,6,1,30,1,6,1,30,1,6,1,28,1,30,2,28,2,6,2,28,1,6,1,28,1,30,2,28,5,30,1,28,35,30,1,28,9,30,1,28,1,30,1,28,9,7,1,13,1,28,7,6,1,28,5,30,1,14,2,12,1,10,1,9,1,24,1,8,1,13,1,7,3,30,1,6,1,28,2,6,1,13,2,8,1,9,1,12,1,8,1,9,2,17,1,12,1,10,1,9,1,30,1,28,6,13,1,11,1,8,1,7,1,13,1,28,1,30,1,28,34,17,1,7,2,6,1,30,1,13,1,24,1,12,1,8,1,9,1,7,1,6,1,13,1,24,1,8,1,6,1,9,2,12,1,16,1,11,1,7,1,29,1,13,1,6,2,7,1,9,1,17,1,13,1,30,1,28,1,30,1,28,1,6,2,8,1,9,1,10,1,17,5,12,1,17,1,13,1,8,1,7,1,8,1,12,1,11,1,9,1,30,2,8,2,17,1,13,1,28,3,30,2,28,43,12,1,24,1,11,1,30,1,28,8,6,1,}, {28,2,30,2,28,1,30,1,28,1,29,1,28,2,30,1,28,10,29,1,28,8,6,1,28,1,30,2,28,1,7,1,6,1,29,1,13,1,7,1,8,1,13,1,6,2,8,1,10,1,9,1,17,1,9,1,17,2,9,1,24,1,13,1,8,1,29,1,28,10,13,1,8,1,24,1,30,1,28,5,6,1,24,1,7,1,30,1,28,1,30,1,28,3,30,2,28,4,6,1,12,1,13,1,24,1,28,14,30,1,28,17,30,1,28,11,30,1,6,3,24,1,17,2,8,1,28,4,6,1,17,2,13,3,9,1,12,3,15,1,24,1,6,1,30,2,28,6,8,1,9,1,8,1,6,1,28,5,12,1,9,1,10,1,9,1,8,2,9,1,8,1,13,1,8,1,24,1,8,1,24,1,10,1,12,1,9,2,24,1,13,1,9,1,8,2,13,1,30,1,28,31,7,2,6,1,29,1,30,1,8,2,12,1,24,1,9,1,13,1,30,1,28,1,29,1,28,1,8,1,17,1,14,1,24,1,8,1,13,1,24,1,13,1,7,1,13,1,6,1,13,1,24,1,7,2,6,1,30,1,6,1,30,1,29,1,13,1,8,1,24,2,9,1,24,1,10,1,17,2,14,2,16,1,6,1,28,27,30,1,28,3,29,1,30,1,13,1,7,1,13,1,9,1,17,6,16,3,11,2,16,3,17,11,11,2,9,1,16,1,9,1,11,1,9,1,11,2,16,6,17,1,16,1,17,4,16,4,9,1,13,3,8,1,13,1,9,1,13,4,9,6,11,1,9,7,13,4,28,1,30,2,28,11,30,1,11,1,9,1,11,8,16,1,10,1,16,1,9,2,11,2,10,1,11,1,10,1,11,5,10,1,9,1,16,1,11,1,9,2,10,1,9,4,11,1,9,1,13,1,9,1,13,1,8,1,13,4,8,1,13,1,6,1,7,1,6,1,30,1,13,1,30,1,7,1,28,1,30,2,6,1,28,3,30,1,28,82,29,1,9,1,11,1,17,1,9,3,17,1,11,1,17,2,16,1,11,3,16,1,11,2,9,2,8,1,11,1,10,1,9,1,13,3,8,1,6,1,30,1,13,2,6,1,29,1,30,2,28,5,30,1,28,28,29,1,28,8,6,1,28,28,30,1,6,2,30,1,28,6,6,2,13,1,30,2,13,1,6,1,28,1,6,1,30,1,28,2,6,2,28,1,6,2,13,1,30,1,28,11,13,3,9,1,13,2,6,1,28,1,13,2,9,1,30,1,28,5,6,1,9,6,13,1,28,1,30,1,28,11,13,1,8,1,11,1,6,2,13,2,8,1,13,2,11,1,9,1,11,1,9,1,13,3,6,1,13,1,6,1,13,1,30,1,13,2,28,1,6,2,13,5,9,1,13,1,9,1,8,1,30,1,9,1,13,1,9,1,16,3,17,1,16,1,11,1,9,6,8,1,13,3,7,1,13,3,30,1,6,1,13,1,28,1,13,1,6,2,30,1,6,2,13,1,6,1,29,1,13,1,6,2,30,1,6,1,13,2,9,1,6,1,9,1,6,1,30,1,28,1,13,3,30,1,13,1,8,1,13,3,10,1,8,1,13,5,8,2,13,3,9,1,13,4,8,2,9,1,8,1,9,1,13,3,10,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,2,8,1,9,1,13,1,9,2,10,1,9,1,13,1,11,1,9,2,16,1,9,2,11,1,9,1,16,2,9,1,16,2,9,3,13,1,6,1,28,11,6,4,30,1,6,1,30,1,6,3,29,2,6,2,7,1,13,1,6,2,13,7,6,1,13,2,6,2,13,1,6,1,7,1,6,1,13,1,6,1,13,1,7,1,13,2,7,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,2,13,1,6,2,13,1,6,1,13,1,6,2,29,1,13,1,30,1,6,1,13,1,7,1,13,3,6,1,13,2,6,2,30,1,6,1,30,1,13,1,6,2,13,1,6,1,7,2,6,3,13,1,6,2,13,1,6,3,13,1,30,1,6,1,30,1,13,1,30,1,13,2,7,1,8,1,6,1,7,1,13,3,29,1,13,1,29,1,13,1,7,1,13,1,6,1,13,1,6,2,30,1,6,1,30,1,6,1,7,1,13,1,6,1,13,1,6,2,13,1,6,3,30,1,6,2,13,1,6,2,13,1,6,7,13,7,6,1,13,2,30,1,13,4,30,1,7,1,6,1,29,1,13,1,6,1,29,1,6,3,13,1,30,1,13,2,6,4,28,1,6,1,13,1,6,1,13,2,6,1,13,1,7,1,29,1,13,7,7,1,6,1,13,1,7,1,6,2,29,1,13,1,7,1,6,4,29,1,6,1,7,1,30,1,6,4,13,1,6,2,7,1,6,4,7,1,6,2,7,1,13,1,6,3,7,1,13,1,6,1,7,1,6,1,13,4,6,1,13,1,6,6,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,30,1,13,2,30,1,13,2,6,2,13,1,7,1,6,1,13,1,6,2,13,2,6,2,13,1,6,1,13,1,7,1,13,2,6,4,13,1,6,2,13,1,30,1,6,1,7,1,6,2,30,1,6,1,30,1,6,1,13,1,6,1,30,1,7,1,30,1,6,1,30,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,9,2,28,1,13,1,30,1,6,3,13,1,6,2,7,1,28,1,6,5,30,1,6,1,30,1,6,2,29,1,6,1,28,1,6,2,7,1,6,4,30,1,13,3,6,2,30,1,13,1,6,2,30,1,13,2,6,2,13,1,30,2,7,1,6,4,29,1,6,1,7,1,6,2,29,1,13,1,6,1,30,1,6,2,30,1,13,1,30,1,6,2,30,1,6,1,29,1,13,1,6,3,13,2,30,1,6,3,13,1,6,1,30,2,13,1,6,5,30,1,13,1,30,1,6,2,7,1,13,1,6,3,13,1,6,2,29,1,13,1,6,2,30,1,6,2,13,1,9,2,30,1,13,1,6,3,30,1,6,2,30,1,6,1,30,2,6,2,28,1,6,1,28,1,6,1,30,1,6,1,30,1,28,1,13,1,6,1,28,1,6,1,30,8,6,1,28,1,29,1,28,1,29,1,30,1,6,2,28,1,6,2,30,2,28,1,6,1,29,1,30,1,29,1,6,1,30,2,6,1,30,1,6,1,30,1,6,1,30,1,6,4,13,1,30,2,6,1,28,1,30,1,28,1,6,1,30,1,29,1,28,1,30,2,28,1,6,1,28,1,30,3,6,1,30,3,28,1,6,2,28,1,30,1,28,1,30,1,6,1,28,7,30,3,28,3,30,1,28,3,30,1,28,3,30,1,28,1,30,2,28,1,30,2,6,2,30,2,28,1,30,1,28,4,30,1,28,1,6,1,30,1,28,3,30,1,6,1,28,1,30,3,28,1,30,5,6,1,28,1,30,1,6,1,30,1,28,1,29,1,30,1,28,22,10,1,17,1,11,1,12,5,11,1,12,1,11,1,8,1,17,1,10,1,13,2,28,11,30,1,28,1,29,2,6,1,7,1,6,1,30,1,29,1,30,1,6,3,29,1,30,1,29,1,28,11,30,2,28,1,30,1,28,4,30,2,28,2,30,1,28,2,30,2,28,1,29,2,6,1,30,2,28,1,30,1,28,2,7,1,6,1,13,2,6,3,24,1,6,1,13,1,8,1,9,1,24,1,8,1,9,1,13,1,12,1,10,1,24,3,10,2,12,2,17,3,10,2,9,1,13,1,9,1,12,1,13,1,6,1,8,2,13,10,8,1,9,1,11,1,12,1,11,1,8,1,13,1,6,2,13,1,6,2,29,1,6,1,30,1,6,2,30,1,13,1,29,1,6,1,29,1,6,2,29,1,6,3,30,1,6,1,30,1,6,2,30,1,29,1,30,5,6,4,29,1,6,1,13,1,6,1,30,1,6,1,13,1,30,1,6,1,13,1,30,2,13,1,30,1,28,1,6,1,30,1,6,4,13,1,6,1,13,1,6,2,8,1,13,2,8,1,9,1,13,1,8,1,28,25,29,1,30,3,29,1,28,1,6,1,28,1,30,3,28,1,30,3,28,1,29,1,28,1,30,1,29,1,7,1,30,1,7,1,29,1,7,1,13,1,8,4,24,1,13,1,24,1,7,1,8,1,13,1,10,1,24,1,13,1,24,1,8,1,13,1,24,3,12,1,13,1,8,1,24,1,8,2,11,1,8,1,9,1,8,1,10,1,11,1,9,1,12,1,24,1,12,2,9,1,12,3,11,1,17,1,12,1,10,1,12,1,17,2,10,1,17,1,12,2,11,1,17,4,12,1,9,1,13,2,6,1,13,1,7,1,13,1,6,1,7,1,6,1,28,1,6,1,30,2,28,1,29,1,30,1,28,1,30,1,28,3,30,1,28,4,30,1,28,1,29,1,30,1,29,1,28,1,29,1,28,1,30,1,28,4,6,1,28,1,6,1,27,2,25,1,6,1,30,1,25,1,24,2,8,2,25,1,7,1,8,1,12,1,13,1,24,1,10,1,24,1,10,3,12,3,8,1,12,1,13,1,12,1,10,1,9,1,17,1,9,2,12,1,10,2,17,2,12,1,9,1,12,1,17,1,9,1,12,4,10,1,17,1,12,2,9,2,17,3,12,3,17,2,10,1,12,1,10,1,12,2,8,1,9,1,17,1,9,1,10,1,24,1,10,1,12,1,8,1,12,1,24,1,8,1,24,1,8,1,24,3,8,4,24,2,8,1,24,1,10,1,12,1,8,1,13,1,24,2,8,2,13,1,10,1,12,1,13,1,8,1,24,1,8,2,24,4,13,1,24,1,13,1,24,1,12,1,24,2,8,1,6,1,9,1,8,2,7,2,13,1,6,1,24,1,13,2,8,1,24,1,8,1,24,1,8,1,13,2,24,1,13,1,10,1,8,2,24,1,10,1,12,1,9,1,24,1,12,1,10,1,24,2,8,3,24,1,8,1,24,1,9,1,13,1,12,1,10,1,24,1,8,1,10,1,17,1,12,1,9,1,17,1,8,1,12,1,24,2,8,1,11,1,12,1,9,3,12,1,9,4,13,1,9,2,13,1,8,1,13,2,9,1,13,2,8,1,13,2,9,1,13,1,9,1,13,7,6,1,13,2,8,1,13,1,9,1,7,1,13,1,8,1,6,1,9,1,13,1,6,1,13,3,6,2,13,2,30,1,6,1,28,1,30,1,28,1,6,1,28,1,30,1,28,4,30,1,28,1,30,1,28,12,29,1,28,42,6,1,28,11,13,1,6,1,28,4,30,2,6,2,28,4,30,1,8,1,10,1,17,2,9,1,8,2,13,2,7,1,24,1,6,1,28,2,6,1,30,2,29,1,7,1,13,1,9,1,10,1,17,1,11,1,17,1,10,1,17,2,9,1,28,7,13,1,14,1,9,1,24,1,29,1,28,35,6,1,9,2,7,1,6,1,30,1,6,1,15,1,12,1,8,2,28,1,6,1,8,1,13,1,12,1,15,1,10,1,9,1,10,1,24,1,12,1,7,1,29,1,6,1,29,1,28,1,6,1,16,1,17,1,8,1,28,2,30,1,6,1,13,1,8,1,13,1,15,1,24,1,14,1,17,1,16,1,17,2,9,2,13,2,30,1,9,1,10,1,11,1,13,1,28,2,6,1,11,1,17,1,9,1,13,1,28,3,30,1,28,42,6,1,10,1,12,1,13,1,30,1,28,8,30,1,}, {28,1,30,1,28,10,30,1,28,8,30,2,28,1,30,1,28,3,29,1,30,2,28,2,6,2,13,2,6,4,8,1,30,1,13,1,9,1,13,1,9,1,13,1,10,1,11,2,8,3,24,1,29,1,28,9,30,1,6,1,8,1,13,1,7,1,29,1,28,3,29,1,8,1,9,1,13,3,6,1,29,1,30,1,28,7,6,1,15,1,24,1,6,2,28,21,30,1,28,2,29,1,30,1,28,1,30,1,28,2,30,1,28,11,29,1,7,1,28,1,30,1,13,1,9,1,12,1,17,1,8,1,29,2,28,2,7,1,8,1,24,1,8,1,30,1,6,1,11,1,9,1,24,1,10,1,9,1,8,1,29,2,28,7,24,1,9,1,13,1,7,1,28,5,10,1,12,1,9,1,11,1,15,1,13,2,6,1,9,1,24,1,8,1,24,1,9,1,24,2,12,1,11,1,9,1,8,4,13,1,30,2,28,16,30,1,29,1,28,9,30,1,28,1,29,1,30,1,29,1,28,1,30,2,24,1,12,1,24,1,9,1,24,1,13,1,28,1,29,1,28,2,8,1,15,1,17,1,9,3,8,1,13,3,6,2,28,1,6,3,30,1,29,1,6,2,30,1,13,1,6,1,9,1,11,1,12,2,17,1,12,1,17,1,14,1,15,1,6,1,28,21,30,1,28,1,13,1,30,1,6,1,13,2,9,1,11,2,16,1,17,11,16,4,9,1,11,1,17,13,16,1,11,2,9,3,16,5,17,2,16,1,17,1,16,1,17,4,16,1,11,1,16,1,11,1,9,2,13,1,9,1,13,2,9,1,13,1,10,1,9,2,16,1,9,1,11,1,9,5,13,1,9,1,13,3,6,1,30,1,28,18,9,1,16,1,11,1,16,1,10,1,11,3,16,1,11,2,9,2,11,1,9,1,11,2,10,1,9,2,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,2,10,1,9,3,11,1,9,2,8,1,9,2,13,9,6,1,13,1,6,1,13,1,6,1,30,1,6,2,28,88,13,2,9,1,12,1,11,1,9,1,17,2,16,2,17,1,16,1,17,1,11,1,17,1,11,1,12,1,11,1,12,1,11,1,8,1,9,2,13,1,9,1,8,1,9,2,7,1,13,3,6,1,8,1,6,2,30,1,29,1,28,1,29,1,28,70,30,2,6,1,28,7,30,1,13,2,30,2,13,1,30,1,6,2,30,2,28,1,30,1,6,1,30,1,13,2,6,1,13,1,6,1,28,9,30,1,13,3,9,1,13,2,30,1,6,1,8,1,9,1,11,1,28,6,6,1,11,1,13,1,9,2,13,1,9,1,13,1,6,1,28,11,30,1,13,2,9,1,13,1,6,1,13,4,11,1,9,3,13,1,9,1,8,1,13,1,6,1,13,1,28,1,30,1,13,3,6,1,13,1,6,1,13,2,7,1,13,1,9,1,13,1,6,1,13,3,16,1,13,1,9,1,16,1,17,3,11,1,9,2,13,1,17,1,9,3,7,1,13,1,6,1,13,1,9,1,6,1,13,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,3,29,1,13,1,6,1,30,1,29,1,13,1,6,1,13,1,6,1,13,4,6,2,13,2,9,1,28,1,9,1,11,1,13,2,9,1,13,1,9,1,13,1,6,1,9,2,13,3,30,1,9,1,13,1,6,1,13,2,8,1,9,1,13,1,9,5,13,2,9,1,13,1,11,1,9,1,13,1,9,1,13,1,9,1,13,2,9,1,13,1,8,1,9,5,11,1,9,1,11,1,9,2,16,1,11,2,16,2,9,1,16,2,9,1,30,2,28,1,30,1,28,9,6,2,13,1,6,4,7,1,30,1,6,3,7,1,29,1,6,1,13,2,6,2,13,4,30,1,9,1,13,3,6,2,13,9,6,1,13,1,7,1,13,1,6,1,7,1,6,4,13,1,6,1,13,1,6,2,7,1,13,1,6,1,13,1,30,1,13,2,6,2,13,1,6,1,13,1,6,3,13,1,6,2,13,2,6,1,13,1,6,1,13,2,6,1,7,1,13,1,6,1,7,2,6,2,13,1,28,1,6,4,13,1,30,1,13,2,6,1,13,1,7,2,30,1,6,1,7,1,6,2,7,1,6,1,13,1,6,1,13,2,8,1,6,3,13,1,30,1,6,3,7,1,6,4,13,3,6,3,13,1,6,1,13,2,29,1,6,2,13,1,30,1,29,1,13,1,6,3,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,7,1,13,3,6,1,7,1,6,3,13,1,30,1,6,1,30,1,7,1,13,1,7,1,6,1,30,1,6,2,13,1,17,1,28,1,13,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,30,2,7,1,6,1,13,1,7,1,13,1,6,2,13,1,28,1,13,1,7,1,13,1,6,2,30,1,6,2,7,2,6,1,7,1,30,1,13,1,6,1,13,1,6,5,30,2,13,1,6,2,7,1,13,1,6,1,30,1,13,1,6,3,7,1,6,1,7,1,13,2,6,1,13,1,7,1,13,3,7,1,13,1,6,1,13,5,6,3,13,2,6,3,13,2,6,1,13,2,30,1,6,1,7,1,13,1,6,3,13,4,6,1,13,1,6,1,13,1,6,1,7,1,13,1,30,1,6,1,7,2,13,1,30,1,13,1,30,1,6,1,13,1,7,1,6,1,30,1,13,1,6,2,13,1,7,2,13,1,6,1,13,1,6,1,13,1,30,1,13,4,6,1,13,1,7,1,13,1,6,1,13,2,7,1,6,1,13,1,30,1,6,2,13,1,6,1,30,1,6,1,30,1,13,1,6,3,13,1,6,4,30,1,6,2,30,1,6,1,13,1,30,2,13,1,30,1,13,1,6,1,30,1,13,1,30,1,13,1,6,2,13,1,6,1,13,3,6,4,13,1,6,1,7,1,13,1,6,3,13,1,6,4,29,1,7,1,6,1,7,1,6,1,30,1,13,7,6,5,13,1,6,3,30,1,6,1,7,1,6,1,13,1,6,2,29,1,6,1,30,1,6,1,13,1,6,2,13,1,6,2,30,2,13,1,30,1,13,1,6,2,13,1,30,1,13,1,30,1,29,1,6,1,13,1,30,1,13,1,11,1,13,1,30,1,6,1,13,1,6,1,30,1,13,2,6,4,30,2,6,1,30,1,28,1,6,1,30,2,6,4,13,1,6,2,30,2,13,1,6,2,30,1,6,2,30,1,6,1,13,1,28,1,6,1,7,1,30,1,28,1,7,1,6,1,30,1,6,1,30,1,28,2,6,1,29,1,30,1,6,1,29,1,6,1,7,1,28,1,6,1,28,1,30,1,28,1,6,1,30,2,6,1,30,1,6,2,28,1,29,1,28,1,6,1,30,2,6,1,30,2,29,1,30,4,6,2,30,1,6,1,30,2,6,1,30,2,28,1,30,1,6,1,28,3,30,2,28,3,30,2,28,1,30,8,6,1,28,1,29,1,28,1,30,2,28,2,30,2,6,1,30,1,28,1,6,2,29,1,28,3,30,1,28,1,30,1,28,3,30,4,28,4,30,2,28,3,30,2,6,2,30,2,28,1,30,2,6,1,28,24,13,1,10,1,12,1,10,1,12,3,17,1,10,1,12,1,11,1,8,1,11,1,9,1,10,2,11,1,9,1,13,2,30,1,28,3,30,2,6,1,7,1,13,1,30,1,7,1,30,1,7,1,30,1,6,3,30,1,29,1,28,20,29,1,30,1,28,1,30,1,28,4,30,1,28,4,30,1,28,2,30,2,6,2,13,1,29,1,6,3,7,1,8,1,7,2,8,2,24,4,9,1,24,1,8,1,24,1,9,1,24,1,10,1,9,2,12,1,10,1,17,3,13,2,8,1,13,1,30,1,6,1,13,1,6,1,7,1,13,7,7,1,13,2,7,1,13,1,9,1,12,1,11,1,9,2,30,2,6,2,30,2,29,1,30,1,6,5,30,1,6,3,30,2,6,1,30,2,6,4,30,3,28,1,30,1,6,1,28,1,30,2,28,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,7,1,29,1,6,3,29,1,13,1,30,1,6,5,30,1,13,1,6,2,13,2,9,2,13,1,9,1,13,2,6,1,28,4,30,1,28,1,29,1,28,18,6,1,28,1,30,1,29,1,6,1,29,1,6,1,29,1,30,2,28,1,30,1,29,1,30,1,28,1,29,2,30,1,28,1,6,1,30,1,7,1,29,1,7,2,6,1,8,1,7,2,24,1,8,1,7,1,8,4,7,1,24,1,8,1,17,1,8,1,7,1,24,3,9,1,24,1,10,1,8,1,10,2,24,1,12,1,8,1,10,1,12,1,8,1,12,3,9,1,10,1,12,1,9,1,12,1,17,1,12,2,9,1,12,2,17,1,10,1,12,1,17,1,12,1,11,1,17,9,9,1,13,1,9,1,13,1,6,1,30,1,6,2,30,1,7,1,28,1,13,1,30,2,28,7,29,1,30,1,28,2,29,2,30,2,6,1,30,1,29,1,30,1,29,1,30,1,29,1,30,1,29,1,28,1,30,2,27,1,29,1,26,2,27,1,6,1,24,1,25,2,8,1,24,2,8,1,24,2,10,1,8,1,24,1,12,1,24,2,9,1,8,1,17,1,10,1,12,2,8,1,12,1,24,1,11,1,9,1,17,2,12,1,17,1,9,1,12,1,11,1,17,1,9,1,17,1,12,1,11,1,17,3,24,1,12,1,17,2,11,1,10,1,12,1,17,1,11,1,12,1,11,1,10,2,11,1,10,1,17,1,12,1,11,1,12,1,9,1,24,1,8,1,12,1,9,1,24,1,8,1,13,1,24,1,7,1,12,1,8,1,7,1,8,1,13,1,8,1,10,1,25,1,24,1,8,1,6,1,8,1,24,1,8,1,24,2,10,1,9,1,8,1,12,1,8,1,12,1,24,1,8,1,24,1,13,1,7,1,24,1,7,1,9,1,10,2,8,1,10,1,12,1,24,1,13,1,24,1,8,2,24,1,13,3,24,1,13,1,12,1,24,1,6,1,10,1,7,1,8,2,7,1,9,1,24,2,7,1,8,1,12,1,24,1,13,1,12,1,8,1,24,1,17,1,10,1,24,1,12,1,24,2,10,1,13,1,8,1,9,1,24,1,9,2,8,1,24,1,12,1,24,1,13,1,9,1,24,1,12,1,8,1,24,1,9,1,12,1,10,1,24,2,12,1,9,1,24,1,8,1,24,1,9,1,12,1,10,1,9,2,13,1,9,1,8,1,13,1,9,1,8,1,6,1,9,1,13,3,8,1,13,2,9,1,13,2,8,2,13,2,7,1,13,2,9,1,13,1,8,2,13,3,8,1,13,4,7,1,13,2,6,1,13,1,6,4,28,1,6,1,7,1,29,1,30,1,6,1,28,1,30,3,28,1,30,1,28,15,30,1,28,55,13,1,28,5,30,1,28,7,13,1,14,1,12,1,17,1,12,1,9,1,13,1,8,1,7,1,8,1,7,1,29,1,28,1,29,1,30,1,29,1,30,1,29,1,7,2,13,1,9,1,17,1,11,1,17,2,11,1,17,1,8,1,28,7,6,1,9,3,6,1,28,35,8,1,9,1,13,1,7,1,28,1,7,1,8,1,9,1,12,2,8,1,6,1,7,1,8,2,11,1,10,1,15,1,12,1,15,1,9,2,29,1,7,1,28,1,7,1,6,1,8,1,11,1,17,1,7,1,28,1,29,1,28,1,6,1,7,2,8,1,10,1,12,1,14,1,11,1,17,1,11,1,17,1,16,1,13,2,6,2,8,1,10,1,17,1,13,1,28,2,13,1,17,1,11,1,13,1,6,1,28,1,29,1,30,1,28,43,7,1,9,1,12,1,8,1,6,1,28,8,30,1,}, {28,1,30,1,28,10,30,1,28,6,29,1,28,2,7,1,30,1,28,6,30,1,7,1,30,1,6,1,30,1,6,1,30,2,6,3,13,2,7,1,13,3,9,1,10,1,17,1,9,2,13,1,9,2,6,1,28,2,29,1,28,7,29,1,8,1,24,1,28,5,30,1,13,1,17,1,8,2,6,1,30,1,6,1,28,1,30,1,28,1,30,1,28,4,6,1,12,1,10,1,13,2,28,16,29,1,28,1,30,1,28,2,30,1,28,1,29,1,28,4,30,1,28,1,29,1,28,10,30,1,28,1,30,1,29,1,6,1,9,1,12,1,17,2,8,1,30,2,28,2,6,1,17,2,13,1,30,1,13,1,9,1,12,1,8,1,24,1,9,1,24,1,6,1,28,7,30,1,24,1,8,2,13,1,6,1,28,4,10,1,17,2,11,1,10,1,8,1,24,1,8,1,24,3,8,1,24,1,13,1,24,1,11,1,8,1,9,1,8,1,13,2,8,1,7,1,29,1,28,15,29,1,28,1,30,1,7,1,28,14,6,1,28,1,13,1,8,1,15,1,24,1,12,1,11,1,29,1,30,1,29,2,28,1,6,1,9,1,17,1,11,1,15,1,11,1,9,1,6,1,29,1,13,1,6,1,29,1,13,1,6,1,13,1,6,1,28,1,30,1,6,1,13,1,8,1,13,1,8,1,9,4,12,2,16,1,14,1,16,1,7,1,28,1,30,1,28,16,30,2,6,1,9,3,17,18,16,1,17,1,9,1,16,1,9,2,16,1,17,12,11,2,9,2,11,1,9,1,16,4,17,1,16,4,17,4,11,1,16,1,11,1,16,1,9,6,13,1,9,1,11,3,9,1,11,1,9,4,13,4,6,1,30,1,6,1,28,21,30,1,16,1,11,3,16,1,9,1,16,1,11,3,9,1,11,1,9,1,11,2,9,2,11,1,9,1,11,4,9,1,16,1,11,1,9,1,11,3,9,2,8,1,11,1,8,1,9,1,13,1,8,1,9,1,8,1,13,5,7,1,13,1,6,1,13,1,6,1,30,3,6,1,28,2,30,1,28,1,29,1,28,83,29,1,13,1,9,2,11,2,17,1,16,1,17,1,10,1,9,1,17,1,10,1,16,3,10,1,9,1,10,3,9,1,8,4,13,2,6,1,8,1,13,1,6,1,29,1,13,1,8,1,30,1,7,1,29,1,28,2,30,1,28,71,30,1,28,8,13,2,6,1,13,2,6,2,28,1,30,2,28,1,30,2,28,1,13,5,6,1,13,1,30,1,28,9,13,1,9,2,13,2,8,1,28,2,13,1,9,1,11,1,30,1,28,5,13,1,9,2,13,1,9,2,11,1,8,1,6,2,28,11,13,2,11,1,13,1,30,2,9,1,13,1,9,1,13,1,9,1,13,3,9,1,13,2,8,1,13,1,9,1,30,2,6,1,13,3,9,1,13,1,9,1,13,5,8,1,7,1,9,1,13,1,11,1,16,1,17,4,11,1,9,1,13,1,8,1,9,1,13,2,9,1,13,3,6,1,28,1,13,1,30,1,6,1,13,1,6,3,13,2,28,1,13,1,6,1,13,2,30,2,13,5,29,1,6,2,13,2,9,1,7,1,8,1,6,1,13,1,9,1,13,1,8,1,9,1,13,1,9,1,6,1,7,1,13,1,9,3,13,4,6,1,13,2,30,1,9,1,8,1,9,1,6,1,13,3,6,1,9,1,13,1,9,1,13,2,11,1,13,1,9,1,13,1,9,1,8,1,13,1,9,2,13,1,9,4,16,1,9,2,11,1,10,1,16,1,11,4,9,1,16,2,9,2,13,2,30,1,28,1,30,1,28,8,30,1,13,1,29,1,13,1,6,2,13,1,7,1,6,4,13,1,6,1,7,1,6,1,13,1,7,1,6,2,7,1,6,1,13,1,6,1,13,1,9,1,13,2,7,1,6,1,13,3,6,2,13,2,7,1,6,1,30,1,13,2,7,1,13,2,30,1,13,2,6,1,30,1,13,2,30,1,13,4,6,1,13,3,6,1,13,2,6,2,7,1,13,2,30,1,6,1,7,2,13,1,6,1,29,1,6,1,13,1,7,1,6,1,13,1,6,2,7,1,6,2,7,1,13,1,6,4,13,3,6,2,30,1,7,1,6,2,13,1,7,1,6,1,13,2,6,1,13,2,7,1,6,1,13,3,6,1,7,1,6,2,29,1,6,1,28,1,13,1,6,1,13,1,6,1,13,1,6,2,7,1,6,1,13,1,30,1,13,1,6,1,13,2,6,1,13,1,6,3,13,1,6,2,29,1,6,1,7,1,6,1,13,1,7,1,13,1,6,3,7,1,6,1,13,2,6,2,13,1,6,2,13,1,6,4,7,1,30,1,13,1,28,1,30,1,13,1,6,1,30,1,6,1,9,1,11,1,30,1,6,1,7,1,6,4,30,1,28,1,6,1,7,1,6,2,13,1,6,1,13,1,30,1,29,1,7,1,6,2,13,2,28,1,13,3,30,1,7,1,6,1,29,1,30,1,6,1,30,1,6,2,30,1,6,3,30,1,6,4,13,1,6,2,28,1,30,1,7,1,30,1,7,1,30,1,6,2,13,1,7,1,6,1,13,1,6,1,13,2,6,1,13,3,6,1,7,1,13,1,30,1,13,2,7,1,13,1,6,1,13,8,6,1,13,4,6,1,13,3,6,1,13,1,6,8,13,2,6,1,13,2,6,1,13,5,6,2,13,1,6,1,7,2,13,1,6,1,7,1,6,2,13,2,6,2,7,1,8,1,7,1,6,3,13,2,6,1,13,3,6,1,13,1,6,3,13,1,30,1,6,9,13,1,30,1,13,1,29,1,13,1,6,1,30,1,6,1,29,1,6,2,7,1,30,1,29,1,13,1,6,2,7,1,13,2,6,1,13,2,6,1,13,5,7,1,13,1,6,3,7,1,13,1,30,1,13,1,7,1,29,1,7,1,28,1,13,1,29,1,6,3,13,1,6,2,13,1,6,3,30,1,6,6,13,2,6,1,13,3,6,1,13,1,6,1,13,3,6,1,30,1,13,1,6,2,13,2,30,1,6,1,7,1,13,1,6,1,13,2,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,3,9,2,30,1,7,2,6,1,13,2,30,1,13,3,6,2,13,1,30,1,13,1,6,1,13,2,7,1,6,1,13,3,6,1,13,2,6,1,13,1,6,2,7,1,13,2,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,8,1,6,1,13,1,6,1,13,1,6,3,30,1,6,1,13,4,7,1,13,1,6,1,13,1,7,1,13,1,6,1,30,1,13,1,6,1,30,1,6,2,29,1,6,2,30,1,6,2,30,1,6,1,30,1,29,2,28,1,30,5,6,1,30,4,6,2,28,1,30,2,6,3,28,1,6,4,28,1,6,2,30,2,28,2,30,1,6,1,28,1,6,1,28,2,30,2,28,3,30,1,28,1,30,1,28,2,30,2,6,1,30,1,28,4,30,3,28,1,6,1,28,1,30,1,6,1,30,1,28,1,30,3,28,5,30,2,6,1,28,1,6,2,30,1,7,1,30,1,6,1,30,1,28,1,30,1,28,22,6,1,8,1,9,1,12,3,17,1,12,1,11,2,12,1,8,1,10,1,11,3,12,1,17,4,9,2,8,2,7,1,6,1,7,1,6,1,30,1,6,3,30,2,29,1,30,1,29,1,28,23,30,3,28,4,30,1,28,7,30,1,29,1,30,1,7,1,6,1,7,2,6,1,13,1,10,1,7,1,13,1,9,1,8,1,13,1,8,1,24,5,9,2,10,1,9,1,10,1,17,1,9,1,8,1,30,1,28,1,6,2,30,5,7,2,13,4,7,1,6,2,13,2,8,1,13,1,7,1,10,1,11,1,9,1,12,1,13,1,7,1,30,1,6,2,30,3,29,1,30,1,6,4,28,1,30,7,6,5,30,3,29,1,6,1,28,1,6,1,30,1,6,1,30,1,29,2,6,3,28,1,6,1,30,1,6,1,30,3,29,1,6,1,13,1,6,5,13,2,6,1,13,1,6,1,13,1,9,1,8,1,13,1,8,1,13,2,8,2,28,2,30,1,28,24,29,1,28,1,6,1,28,1,30,1,28,2,30,3,28,3,30,1,28,6,30,1,7,1,13,1,29,1,6,1,8,1,6,1,12,1,7,1,13,1,24,2,8,1,24,1,10,1,8,2,12,1,10,1,24,1,8,1,10,1,24,1,8,1,10,1,24,2,6,1,8,1,24,2,13,1,24,2,12,1,10,1,24,1,17,1,10,1,8,1,10,1,12,2,10,1,8,1,10,2,12,2,17,1,12,1,9,1,12,3,17,1,12,2,17,6,12,1,17,1,9,2,6,2,7,3,6,1,28,1,6,2,30,3,28,4,30,1,28,2,30,1,28,2,30,1,28,1,29,1,30,1,28,1,30,1,28,1,30,1,29,1,6,1,28,1,29,1,26,1,25,1,29,1,27,1,6,1,29,1,26,1,8,1,25,2,24,1,25,1,24,1,25,1,24,2,13,1,24,1,10,3,24,2,12,1,9,1,10,1,13,1,9,1,24,1,12,1,17,1,10,1,24,3,11,1,12,1,9,1,12,4,24,1,17,1,12,1,10,1,17,1,12,1,11,1,12,1,8,1,17,1,12,1,24,1,11,1,17,4,12,1,10,1,17,1,12,1,10,1,17,1,10,1,12,1,24,1,12,2,17,1,9,1,10,1,24,1,8,1,24,1,8,1,9,1,8,2,24,3,8,1,24,1,8,1,25,1,24,1,8,1,24,2,25,1,17,1,8,1,24,1,8,1,9,1,8,1,13,1,24,1,13,1,24,1,13,1,24,2,17,1,8,2,24,3,13,1,24,1,9,1,13,1,24,1,12,1,8,1,24,1,8,3,13,1,17,1,7,1,24,1,13,1,7,1,10,1,13,1,8,1,9,1,8,2,10,1,13,2,8,1,24,1,8,1,17,1,12,1,13,1,8,1,24,1,9,1,7,1,24,2,12,1,24,2,8,2,9,1,8,1,10,1,9,1,12,1,13,1,8,1,24,1,10,1,24,1,9,1,24,1,10,1,8,1,24,1,9,1,24,1,12,1,10,2,9,1,10,1,12,1,24,2,10,1,9,1,8,1,13,4,9,1,13,2,6,1,8,1,6,1,8,1,13,8,9,1,8,1,9,1,7,1,8,1,28,1,29,1,13,5,9,1,13,1,8,1,13,1,7,1,9,1,13,2,6,1,7,1,6,3,13,1,6,1,30,2,6,1,13,1,30,1,6,1,29,1,28,1,6,1,28,17,30,2,6,1,28,49,30,1,28,1,30,1,6,1,30,1,28,5,30,3,28,5,7,1,17,1,14,1,12,2,9,1,8,1,13,1,7,1,10,1,24,1,7,1,28,4,29,1,6,2,8,1,7,1,15,1,9,1,17,1,12,1,16,1,17,1,16,1,6,1,28,5,30,1,28,1,6,1,15,1,10,1,7,1,6,1,29,1,28,34,7,1,10,1,9,1,13,1,6,2,13,1,15,1,14,1,24,2,6,1,8,2,13,1,11,1,10,1,16,1,12,1,9,1,17,1,8,1,13,1,6,1,7,1,6,1,28,1,7,1,10,1,12,1,13,1,28,2,30,1,6,1,13,1,8,1,13,1,9,1,8,1,14,1,17,1,11,1,9,1,16,1,6,1,13,1,6,1,13,1,30,1,8,1,12,2,6,1,28,2,13,1,10,1,17,1,10,1,29,2,28,45,29,1,17,1,12,1,8,1,30,1,28,8,6,1,}, {28,12,6,1,28,7,6,2,30,4,28,1,30,1,28,1,6,1,30,2,29,1,6,1,29,1,7,1,13,1,6,1,13,1,30,1,13,1,6,4,13,2,9,1,16,1,9,1,16,1,9,2,13,1,9,1,6,1,28,5,30,1,28,3,30,1,29,1,15,1,8,1,7,1,28,5,8,1,17,1,10,1,13,1,6,1,29,1,30,1,28,1,29,1,28,6,6,1,12,1,24,1,13,1,6,1,30,1,28,11,30,2,28,4,30,1,28,1,30,1,28,1,30,1,13,1,28,20,6,1,13,2,8,1,17,1,16,1,8,1,30,1,28,3,6,1,9,1,10,1,13,1,9,1,6,1,9,1,8,1,11,1,24,2,13,1,6,1,28,8,6,1,24,1,12,1,13,1,30,1,28,1,30,1,28,1,29,1,24,1,17,1,11,1,12,1,9,1,8,1,13,1,8,1,13,1,10,1,13,1,24,1,8,1,24,1,10,1,9,3,8,1,9,3,13,1,28,2,29,1,28,14,30,1,28,1,30,1,28,9,30,1,28,3,6,1,30,1,28,1,8,1,10,2,24,1,15,1,8,1,6,1,29,1,28,3,7,1,17,3,12,2,13,2,8,1,6,1,29,1,30,1,6,1,30,1,6,2,29,2,6,1,29,1,28,1,7,1,8,1,10,1,12,1,10,1,12,1,10,1,17,1,16,1,14,1,16,1,8,1,28,1,30,1,28,3,30,1,28,7,30,3,13,1,9,1,11,1,16,1,17,22,11,1,17,1,9,3,16,1,17,9,16,1,17,2,16,1,9,1,10,1,9,2,11,2,16,2,17,1,16,4,17,1,16,2,17,1,16,1,11,1,9,8,11,1,9,1,11,1,9,1,13,3,9,1,13,4,6,1,28,28,11,2,16,1,11,4,16,1,11,6,9,2,11,1,9,4,16,1,9,1,10,1,11,3,10,1,9,1,11,1,9,8,13,1,8,1,7,1,8,1,13,1,7,1,8,1,6,1,7,1,6,1,7,1,29,1,13,1,30,2,13,1,30,1,28,2,30,1,28,82,30,1,8,1,9,1,11,2,17,2,11,2,17,1,9,1,17,4,16,3,12,1,11,1,17,1,9,1,11,1,13,1,9,2,8,3,6,1,13,1,6,1,9,1,29,1,9,1,6,1,29,1,7,1,30,1,29,1,30,1,29,1,28,3,30,1,28,38,30,1,13,1,28,27,6,1,28,9,30,1,13,2,28,1,30,2,28,1,6,1,30,5,28,1,6,1,7,1,13,5,30,1,28,11,13,1,9,1,13,2,6,1,30,1,28,1,13,1,9,2,28,6,6,1,9,1,8,1,13,1,9,4,13,2,28,11,13,2,9,2,30,1,13,1,9,3,13,2,9,1,13,1,9,1,13,1,9,2,8,1,13,8,10,1,13,3,9,1,6,1,13,1,8,1,13,3,8,1,11,1,16,1,17,4,10,1,9,2,13,1,9,1,13,1,9,1,13,1,6,1,13,5,30,1,6,1,13,1,30,2,6,2,13,1,28,1,13,1,28,1,7,1,6,1,13,1,6,3,13,3,9,1,13,1,30,1,13,1,6,1,13,2,8,1,13,2,9,3,13,3,9,1,13,1,6,1,13,3,6,1,13,3,9,1,13,1,9,1,6,1,13,1,6,1,9,1,6,1,13,4,8,1,9,1,13,2,9,1,13,1,9,1,13,1,8,2,13,3,9,1,13,1,8,1,13,1,16,1,11,2,9,1,11,1,16,1,9,1,10,1,16,1,11,1,17,1,16,2,11,1,13,1,10,1,13,2,30,3,28,8,30,1,29,1,13,6,6,2,13,1,7,1,6,1,13,1,7,1,13,1,30,1,6,6,13,2,6,1,13,4,7,1,6,1,13,2,7,1,13,2,6,1,13,3,6,2,13,4,6,1,13,6,6,2,13,1,6,1,7,1,13,1,6,3,13,1,6,1,13,2,7,1,13,1,6,1,13,1,6,1,13,2,6,1,13,2,6,1,7,1,6,3,7,1,6,1,13,1,6,1,13,2,7,1,6,1,13,2,6,2,7,1,6,5,7,1,29,1,30,2,6,2,7,1,6,1,13,1,6,1,30,1,13,2,6,1,13,1,6,3,13,1,6,4,30,1,6,1,30,2,6,5,7,2,6,1,8,1,6,1,13,1,6,7,29,1,6,1,30,1,6,1,7,1,6,1,13,2,6,1,13,3,6,1,29,1,30,1,7,1,6,2,30,1,6,1,30,1,13,3,6,4,7,1,29,1,6,2,30,1,11,1,9,1,30,1,13,1,6,1,7,1,6,2,13,2,6,1,7,1,29,1,13,1,7,1,6,1,13,1,6,1,13,3,6,5,30,1,6,1,7,1,6,3,7,1,6,7,30,1,6,2,30,1,13,1,6,6,29,1,13,1,7,1,6,1,13,1,6,1,30,1,6,1,13,2,7,1,13,1,6,1,30,1,7,1,6,3,13,2,7,1,13,3,7,1,13,2,6,1,13,1,9,1,7,1,13,1,29,1,13,3,6,1,13,4,6,2,7,1,8,1,6,1,13,1,6,1,13,2,6,1,7,2,6,2,30,1,6,2,30,2,13,1,6,1,7,1,6,2,9,1,13,1,6,1,13,2,6,1,7,1,6,1,13,4,6,1,13,2,8,1,6,1,13,4,7,1,13,1,6,1,13,3,6,1,13,2,6,1,13,1,6,1,13,1,6,2,30,1,6,1,7,1,13,2,7,1,6,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,30,1,6,1,13,1,6,1,13,7,30,1,13,2,6,2,13,2,7,1,13,1,6,2,13,1,6,5,13,2,28,1,6,1,13,1,6,1,13,1,6,1,30,1,6,1,7,1,13,1,29,1,13,2,6,2,13,3,30,1,13,1,6,1,13,1,7,1,13,2,6,1,13,1,30,1,7,1,13,1,6,1,13,3,6,2,13,2,7,1,6,1,13,1,6,1,13,9,9,1,13,4,6,1,13,1,7,1,13,2,8,1,13,1,6,1,13,3,6,3,13,1,6,2,13,1,6,1,13,2,6,1,13,2,7,1,13,1,8,1,13,7,7,1,13,1,6,2,13,2,6,1,13,1,6,1,13,1,7,2,13,5,6,2,7,1,13,1,6,1,13,5,8,1,13,4,6,1,13,1,6,4,7,1,6,1,13,1,6,1,29,1,6,1,7,1,6,1,28,1,13,1,30,1,6,1,28,1,13,1,6,1,30,2,6,4,30,2,29,1,28,1,6,1,28,1,30,1,6,1,13,1,30,1,28,1,6,3,30,1,6,1,30,1,6,1,30,1,6,2,28,1,30,3,28,1,6,4,28,1,30,1,29,1,6,1,28,2,30,3,28,1,6,1,30,4,28,2,30,2,29,1,28,1,30,1,28,3,30,1,28,1,30,3,28,7,30,4,6,2,28,1,30,1,6,2,30,1,28,26,13,1,8,1,12,1,11,1,12,1,11,2,12,1,8,1,12,1,11,2,10,1,9,1,11,1,10,1,9,1,10,2,17,1,10,1,12,1,17,1,9,1,12,1,6,2,7,1,13,1,7,1,6,1,13,1,7,1,30,1,28,30,30,1,29,1,28,1,7,1,28,1,6,1,29,2,6,1,29,1,6,1,7,1,6,4,13,1,6,1,8,2,13,2,9,1,12,1,24,1,10,1,24,2,9,2,24,1,9,2,11,1,9,1,12,1,13,1,6,1,28,1,30,1,6,1,29,1,30,1,29,1,30,5,13,3,6,1,13,2,6,2,30,2,7,1,8,1,13,2,8,1,12,1,11,1,9,1,6,1,13,1,28,1,30,1,6,1,30,1,6,1,30,1,28,2,30,1,28,2,6,1,28,1,30,2,6,1,28,1,30,2,28,1,6,1,7,1,30,4,28,1,6,3,30,1,28,1,6,1,28,1,30,2,28,2,6,1,30,1,6,1,28,1,30,2,6,1,30,1,6,1,30,1,29,1,6,1,30,1,7,1,6,1,28,1,30,1,28,1,13,4,6,1,13,5,7,1,13,1,28,31,30,2,28,1,29,1,28,7,30,1,28,3,30,1,6,2,25,1,6,1,8,1,6,2,8,1,24,1,8,2,24,1,13,1,7,1,8,1,24,2,13,1,8,1,9,1,8,1,9,1,12,1,8,1,13,1,10,2,24,1,12,1,24,2,8,1,12,1,24,1,8,1,24,2,10,1,9,1,11,1,9,1,24,1,9,1,24,1,17,1,8,1,10,1,12,1,9,1,24,2,10,1,12,2,17,1,12,1,11,1,12,2,17,4,12,1,17,4,9,1,12,1,8,1,7,1,29,1,13,1,28,1,29,1,6,1,28,8,30,1,28,5,30,2,28,1,6,1,28,1,29,1,28,1,6,1,28,1,29,1,30,1,28,1,29,3,6,1,30,2,6,1,29,1,25,1,26,2,7,1,25,1,8,1,25,1,10,1,8,1,24,2,8,1,24,1,9,1,24,3,17,1,10,2,17,1,12,1,17,1,24,1,12,1,17,1,9,1,12,4,17,2,12,1,9,1,12,1,10,1,24,1,17,2,10,1,17,2,12,1,10,1,12,1,9,1,12,1,8,1,17,1,12,1,11,1,12,1,17,3,24,1,10,2,17,1,10,1,12,1,10,1,9,1,12,1,9,1,13,1,10,1,24,1,13,1,9,1,24,3,8,1,10,1,24,2,6,1,8,2,24,1,8,1,25,1,10,1,24,1,10,1,8,1,10,1,24,1,8,1,12,1,10,1,8,4,13,1,8,2,10,1,8,1,24,1,9,1,24,1,12,1,10,1,7,1,13,1,10,1,17,1,24,1,9,1,10,1,24,2,8,2,24,1,7,1,10,1,8,1,24,1,13,1,10,1,13,1,8,1,9,1,24,1,10,1,24,2,8,1,24,1,10,1,24,1,12,1,24,1,12,1,9,2,24,1,10,1,24,1,12,1,8,2,9,1,8,1,24,1,12,1,10,1,17,1,13,1,12,1,24,1,17,1,12,1,10,1,12,1,9,1,11,1,24,2,10,1,8,1,9,1,8,1,9,1,7,1,13,1,29,2,7,1,6,1,7,1,6,2,7,1,13,1,30,1,7,1,13,5,6,1,8,1,9,1,13,2,8,1,6,1,13,1,8,1,13,1,9,1,13,1,8,1,7,1,13,5,8,1,30,2,13,1,6,5,30,1,13,1,30,1,6,2,28,1,30,1,28,78,30,1,28,9,30,1,28,4,13,1,14,1,17,1,12,1,11,1,12,1,8,1,24,2,13,2,30,1,6,1,29,1,28,1,30,1,28,1,6,2,7,1,6,1,8,1,24,1,10,1,16,2,17,1,11,1,9,1,28,7,8,1,24,1,9,1,13,1,7,1,30,1,28,34,13,1,17,1,8,1,6,3,7,1,12,1,14,1,15,1,7,2,6,1,7,2,8,1,10,2,17,1,9,1,13,1,24,1,13,1,6,1,29,1,28,1,29,2,17,2,13,1,28,3,6,2,13,1,8,1,9,1,24,1,12,1,14,1,17,2,12,1,9,1,8,1,7,1,6,1,29,1,8,1,12,1,17,1,30,1,28,2,7,1,17,1,11,1,6,1,28,4,29,1,28,8,30,1,28,24,30,1,6,1,28,7,29,1,10,1,17,1,10,1,30,1,28,8,30,1,}, {28,21,30,1,29,1,30,2,28,1,7,1,28,2,30,1,6,3,30,1,6,1,29,2,6,2,30,2,6,2,13,1,8,1,7,1,9,1,10,1,12,1,17,1,11,1,13,1,9,2,11,1,13,1,29,1,28,9,29,1,24,2,7,1,28,5,24,1,17,1,9,1,6,2,29,1,30,1,29,1,28,1,30,2,28,1,30,1,28,2,29,1,8,1,15,1,24,1,6,1,29,1,28,2,30,1,28,10,6,1,28,1,30,2,29,1,28,3,7,1,28,7,6,1,28,14,6,1,8,1,11,1,17,1,8,1,29,1,30,2,29,1,28,1,13,1,12,1,11,1,13,1,29,2,8,1,6,1,9,1,10,1,24,1,29,4,28,6,8,1,9,1,12,1,13,1,28,5,8,1,16,1,9,1,15,1,9,1,8,2,24,2,8,3,9,1,12,1,15,1,12,1,8,1,9,1,8,2,24,1,8,2,6,1,28,17,30,1,28,14,30,2,29,1,7,1,24,1,8,1,24,1,12,1,13,1,6,1,30,1,28,3,7,1,17,1,12,1,10,1,12,1,24,1,8,1,13,1,6,1,7,1,30,1,6,1,30,1,7,1,6,1,30,3,6,1,7,1,13,2,8,1,12,1,9,1,24,1,9,4,14,1,16,1,8,1,28,4,6,1,8,1,28,8,9,1,17,27,11,2,9,1,11,2,16,1,17,12,11,2,9,2,13,1,16,5,17,1,11,1,16,2,17,1,16,3,17,1,11,1,9,5,11,1,16,2,9,2,13,1,30,1,29,1,30,1,28,3,30,1,28,30,9,1,11,1,16,1,9,1,10,1,11,2,10,1,11,3,9,1,11,1,9,1,11,1,9,1,10,1,11,1,9,1,10,1,11,3,9,1,16,1,9,2,16,1,9,1,11,1,8,1,9,2,11,1,8,1,9,1,8,3,9,1,8,1,13,2,7,1,8,1,6,1,13,2,6,1,7,1,6,1,30,2,29,1,28,1,30,1,28,1,30,2,28,79,30,1,13,1,9,2,11,1,17,1,16,1,12,1,16,1,11,2,17,1,11,1,17,1,12,2,11,1,17,1,10,1,11,1,16,1,12,1,11,2,9,2,8,1,9,1,8,1,9,1,7,1,8,1,13,1,8,1,13,1,7,1,13,1,29,1,30,1,6,1,13,1,29,1,6,1,28,1,30,2,28,41,13,1,28,29,30,1,28,7,30,1,11,1,13,4,28,1,6,1,30,4,6,1,28,1,30,1,13,6,7,1,30,1,28,11,13,3,9,1,13,1,28,2,13,1,9,2,6,1,28,5,6,1,9,1,8,1,13,2,9,1,13,1,9,1,6,1,30,1,28,11,30,1,13,1,9,1,13,1,30,2,28,1,9,1,13,1,9,1,13,3,16,1,13,1,9,2,13,1,8,1,13,1,30,1,13,1,9,1,6,1,9,2,13,2,8,2,6,1,13,2,6,1,7,2,13,2,10,1,17,4,11,1,9,2,13,3,30,1,13,3,6,1,13,1,30,4,6,4,9,1,6,2,13,1,6,2,28,1,6,3,30,1,13,1,6,1,9,1,13,1,8,1,6,1,13,2,6,1,13,1,6,1,9,1,13,3,30,1,9,1,6,1,13,8,9,1,13,1,6,1,13,1,9,1,13,1,6,1,8,1,13,2,6,1,13,1,29,1,9,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,8,2,9,1,13,2,8,1,13,1,9,1,13,1,9,1,17,1,9,2,16,1,9,1,16,1,9,1,11,1,16,3,11,1,16,1,9,2,13,3,30,1,6,1,30,1,13,1,28,3,30,1,28,5,30,1,13,4,6,1,13,1,7,1,13,2,6,2,13,1,7,1,6,1,13,1,6,1,7,1,6,1,7,1,13,3,6,3,13,4,7,1,13,1,7,1,13,9,6,2,7,1,6,1,13,2,6,1,13,4,7,1,13,3,6,1,13,1,6,1,13,4,6,1,13,1,30,2,13,1,30,1,13,1,6,2,13,2,7,1,6,1,7,1,13,1,6,1,13,2,30,1,13,1,6,2,7,1,30,1,7,1,13,1,30,1,6,2,13,1,6,3,7,1,6,1,30,1,6,6,13,1,6,1,13,2,6,2,13,1,6,3,13,1,7,1,6,1,13,1,6,3,7,1,29,1,30,1,6,2,30,1,6,1,28,1,6,2,9,1,29,1,6,1,13,2,6,3,30,1,6,1,30,1,6,1,30,1,6,1,13,1,6,1,30,1,13,1,6,2,13,1,6,1,13,2,6,1,13,1,6,1,13,1,6,1,30,1,6,2,13,1,30,1,13,1,6,1,30,1,6,7,30,1,11,1,8,1,6,1,30,1,13,2,6,1,13,1,6,2,13,1,7,1,13,1,30,1,6,1,30,1,6,1,7,1,6,1,7,1,13,2,6,7,30,1,6,2,13,1,7,1,13,1,6,1,30,1,6,3,13,1,6,1,30,1,13,1,6,2,30,2,7,1,30,2,13,1,28,1,6,2,13,1,6,1,30,1,13,1,6,2,13,2,7,1,13,1,29,1,13,1,7,1,13,2,6,1,9,1,13,6,7,1,8,1,13,6,6,1,13,2,6,1,13,1,6,1,7,1,13,1,6,2,13,1,6,1,13,1,6,2,30,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,13,2,6,1,13,1,8,1,13,1,6,1,13,3,7,1,13,2,6,1,13,2,6,1,13,3,8,1,13,2,6,1,13,2,6,1,13,1,8,1,13,1,9,1,8,1,13,6,30,1,13,13,6,1,13,2,6,2,7,1,13,2,7,1,6,1,13,2,6,1,13,13,7,1,13,2,6,1,7,1,13,2,6,2,13,1,6,1,13,1,6,4,7,1,6,2,30,1,6,1,13,2,6,1,13,3,6,1,13,1,6,5,13,2,6,1,13,3,6,1,7,1,13,1,7,1,13,2,6,1,13,2,6,2,13,2,6,1,13,4,6,1,13,1,6,1,13,3,30,1,13,1,7,1,13,2,11,1,13,1,7,2,30,1,13,1,6,1,7,1,13,1,6,2,13,2,6,1,13,1,6,1,13,3,8,1,13,5,6,1,13,2,6,1,13,1,6,1,13,2,30,1,13,1,6,2,7,1,13,3,30,1,13,1,7,1,13,5,6,1,13,1,6,1,13,1,8,1,7,1,13,2,6,1,13,1,28,1,7,1,6,2,13,1,30,1,13,1,6,1,13,1,6,1,29,1,7,1,6,6,30,2,6,1,30,1,6,1,7,1,6,1,13,1,6,2,30,2,29,1,6,1,28,1,6,2,13,1,6,1,30,1,6,1,13,1,30,1,13,1,6,2,30,1,13,2,6,2,30,1,6,2,28,1,6,1,13,1,30,1,6,2,28,2,6,1,30,8,29,1,28,1,29,1,6,1,28,1,30,2,28,2,30,4,28,1,30,1,29,1,6,1,30,7,28,1,30,2,28,2,29,1,13,1,6,3,13,1,6,2,30,1,6,1,28,2,30,3,28,22,8,2,24,1,10,1,12,1,11,1,9,1,10,5,9,1,24,1,9,3,24,1,10,1,11,1,10,1,11,1,12,1,17,2,24,1,7,1,28,1,6,1,28,24,30,1,28,11,30,5,29,3,6,1,7,1,6,2,8,1,13,2,8,1,24,1,8,1,13,2,24,2,9,1,24,1,9,3,24,1,10,1,12,1,8,1,12,1,6,2,28,2,30,1,6,1,29,1,28,1,30,1,28,2,30,4,13,4,7,1,6,3,7,1,30,1,8,1,13,1,6,1,13,2,9,1,10,1,9,1,7,1,30,2,28,1,30,2,28,1,6,1,30,2,29,1,30,1,28,2,30,2,28,1,6,1,30,1,28,1,30,2,6,1,30,1,28,4,30,1,28,1,30,1,6,1,30,1,28,1,6,1,30,1,28,1,30,2,28,1,30,3,6,1,28,1,6,2,30,1,6,2,28,1,6,1,29,1,28,1,6,1,30,2,29,1,13,1,8,1,9,1,13,1,8,2,13,5,30,1,28,30,30,1,28,2,30,1,28,15,29,1,6,1,13,1,6,1,30,1,7,1,6,2,13,1,24,1,8,1,24,1,8,1,24,4,10,1,8,2,12,1,24,3,9,1,10,1,13,1,24,1,12,1,24,1,13,1,10,1,12,1,17,1,24,1,10,1,24,1,9,1,8,1,24,3,13,1,9,1,12,1,24,1,17,1,12,3,24,1,17,1,12,2,17,2,12,2,17,4,12,1,17,3,12,1,17,1,10,1,13,1,6,1,7,1,6,1,7,1,6,1,29,1,28,1,29,1,28,8,30,1,28,2,29,3,28,1,29,1,6,1,30,4,28,2,30,1,29,1,6,1,29,1,25,1,29,1,25,1,27,1,25,1,7,1,8,3,25,1,13,1,24,1,10,1,8,1,13,1,9,2,8,1,9,2,12,3,9,1,17,1,12,2,24,1,12,2,10,1,12,1,9,1,11,3,12,1,17,2,10,1,17,1,24,1,17,2,12,1,9,2,10,1,12,3,9,1,12,1,17,1,12,3,11,2,12,2,9,1,12,1,10,2,24,1,10,1,24,1,8,1,24,1,13,3,10,1,8,2,24,2,13,2,8,1,24,3,8,1,24,1,10,1,12,1,24,1,12,1,24,1,8,1,24,1,10,1,8,1,24,2,13,1,24,1,8,1,24,1,10,1,8,1,24,1,9,1,12,1,13,1,24,1,12,1,8,1,12,1,10,1,12,2,24,3,7,1,8,1,12,1,24,2,10,1,24,3,8,1,24,1,12,2,13,1,8,1,10,1,13,1,12,1,7,1,24,2,8,1,17,1,10,1,24,1,8,1,12,1,24,2,8,2,12,1,13,1,12,2,9,1,24,1,12,1,8,1,9,1,12,1,10,1,8,1,9,2,8,1,10,1,12,1,10,2,9,4,7,1,30,1,28,1,30,1,28,1,30,2,28,2,29,1,28,1,30,1,28,1,13,1,30,2,6,1,13,2,29,1,28,1,6,1,13,5,6,1,30,1,6,3,7,1,6,1,13,2,30,1,6,1,28,1,30,4,6,1,30,1,6,2,29,1,30,1,7,1,30,1,28,1,30,1,28,74,30,2,28,2,30,2,28,6,6,1,7,1,30,1,28,5,13,1,14,1,17,3,12,1,24,3,8,1,29,1,6,1,30,1,28,1,30,1,29,1,28,1,7,1,13,1,8,2,24,1,8,1,12,1,11,1,12,1,17,1,11,1,13,1,28,7,6,1,12,1,13,1,8,1,29,1,28,35,13,1,12,1,9,1,6,2,30,1,8,1,12,1,9,1,15,1,13,2,30,1,7,1,6,1,8,1,9,1,16,1,12,1,10,1,9,1,24,1,28,1,29,1,30,2,28,1,13,1,9,1,11,1,8,1,30,1,28,1,30,1,6,3,13,1,8,1,9,1,15,1,17,2,16,1,11,1,24,1,7,1,13,1,30,1,6,1,9,1,17,1,10,1,13,1,28,2,13,1,11,1,9,1,13,1,28,46,6,1,29,1,11,1,17,1,13,1,28,10,}, {30,1,28,16,30,1,28,3,30,1,28,2,30,1,29,1,30,3,28,2,6,1,7,1,6,1,13,1,6,1,13,2,30,1,29,2,13,1,6,1,9,1,13,2,9,1,17,4,12,1,11,1,24,1,11,1,6,1,30,1,28,9,29,1,8,1,9,1,7,1,28,4,30,1,8,1,17,2,13,1,6,1,30,1,6,1,29,1,6,1,28,1,6,1,28,5,9,1,24,1,8,1,30,1,6,1,28,13,30,1,28,3,29,1,28,3,30,1,28,21,6,2,8,1,13,1,7,1,30,2,28,1,29,1,28,1,13,1,16,1,11,1,16,1,8,1,30,3,13,1,9,1,12,1,11,1,9,1,29,1,30,2,29,1,28,5,7,1,12,2,6,1,28,1,30,1,28,3,8,1,17,3,11,1,9,1,13,1,8,1,24,1,8,3,12,1,13,1,17,2,9,2,8,1,9,1,16,1,17,1,9,1,6,1,30,1,28,15,30,1,28,13,29,2,28,2,8,1,6,2,13,1,8,1,15,1,10,1,29,1,28,4,6,1,17,1,12,2,10,1,24,1,8,1,13,2,6,1,28,1,6,3,7,2,30,1,6,1,30,2,7,2,24,1,13,1,8,1,9,2,11,1,16,1,17,2,16,1,6,1,30,1,28,12,30,1,17,26,16,1,17,1,9,1,10,1,9,2,11,1,17,9,16,1,17,1,16,2,9,4,11,1,16,2,17,1,16,2,17,2,16,1,17,1,11,1,16,3,9,1,16,1,9,1,11,1,9,1,11,4,9,1,13,1,28,37,6,1,8,1,9,1,11,1,16,1,11,1,9,1,16,1,10,1,17,1,16,1,9,1,11,3,9,1,10,1,11,1,9,1,10,1,9,1,11,1,9,1,11,4,9,1,11,2,9,5,13,1,9,1,8,2,13,1,8,3,13,2,7,1,13,1,7,4,6,1,13,1,30,1,6,1,30,1,6,2,30,1,29,1,28,77,30,1,6,1,9,1,8,1,12,1,16,1,17,1,11,1,16,1,17,2,12,1,16,2,17,1,9,1,12,1,17,1,12,1,17,2,10,1,11,1,16,1,9,1,12,1,11,1,9,2,8,2,24,1,8,4,30,1,13,2,7,2,8,1,30,2,29,2,30,1,28,2,30,1,28,54,30,1,28,23,13,1,6,1,13,1,6,1,30,1,13,1,6,1,28,1,30,1,28,3,13,1,30,1,6,1,13,2,9,1,8,1,6,1,13,2,6,1,30,1,28,10,9,1,13,3,9,1,28,2,13,2,6,1,28,3,30,1,28,2,7,1,9,1,13,1,9,1,13,1,9,3,8,1,13,1,28,12,13,1,9,2,6,2,13,1,9,1,13,1,9,1,13,1,8,1,9,1,8,1,13,1,8,1,13,1,6,1,13,2,7,1,8,2,13,1,9,1,13,2,8,1,13,1,8,1,13,5,7,1,13,2,9,1,17,4,9,5,13,2,6,1,13,1,6,1,13,4,30,1,28,1,13,2,6,1,13,2,6,1,13,1,30,1,28,1,6,2,13,1,6,1,13,2,29,1,13,1,9,3,6,1,13,1,8,1,6,1,13,1,6,1,13,1,30,1,13,8,6,1,13,3,8,1,9,1,13,2,9,1,13,2,6,3,9,1,13,2,6,1,13,2,9,1,13,1,9,1,13,1,9,1,13,1,9,1,8,1,9,1,13,1,9,1,11,2,9,2,11,1,9,1,16,1,8,1,11,1,9,1,11,1,16,5,11,2,9,1,13,1,6,1,29,1,6,1,28,1,6,2,28,5,13,5,6,1,13,4,6,1,13,1,6,1,13,1,7,1,13,1,6,1,13,2,6,1,13,3,6,1,7,1,13,1,6,1,13,2,6,1,8,1,13,1,9,1,6,1,13,5,6,1,13,2,6,1,13,6,7,1,6,1,29,1,7,1,6,1,13,2,6,1,13,2,30,1,13,1,6,1,13,1,6,1,13,1,6,1,29,1,13,1,6,2,7,1,13,2,6,1,7,1,6,4,13,1,6,1,7,1,30,1,13,1,6,8,30,1,6,1,7,1,6,2,30,1,13,2,6,1,7,1,6,5,13,1,6,3,7,1,13,1,29,1,6,3,13,1,6,2,13,1,6,7,30,1,7,1,30,1,13,1,6,1,7,1,13,2,30,1,6,1,13,1,6,1,29,1,6,1,13,1,7,1,13,1,6,2,13,2,6,1,13,4,6,1,30,1,6,2,30,1,13,1,29,1,13,1,6,1,13,1,6,4,29,1,6,2,13,1,6,3,7,1,6,2,30,1,13,2,6,1,30,1,9,2,6,2,13,2,6,1,13,1,6,2,13,1,6,3,13,1,29,1,13,1,30,1,13,6,6,1,13,1,6,1,13,1,6,6,13,1,6,3,7,1,30,1,13,1,30,1,6,1,13,1,6,2,7,1,6,1,28,1,13,1,30,1,13,1,6,2,7,1,6,1,13,1,6,1,13,3,6,1,7,1,6,1,13,3,6,1,7,1,13,7,6,1,13,3,6,1,13,3,6,1,13,1,6,1,13,2,6,1,7,2,13,1,6,4,13,1,30,1,13,2,30,1,13,1,30,1,13,1,30,1,6,2,7,1,6,2,7,1,13,1,30,1,13,2,7,1,13,2,7,1,6,1,7,1,13,2,30,1,6,1,7,1,13,6,6,2,13,3,7,1,13,2,6,1,13,15,9,1,13,1,6,1,13,3,8,1,13,3,30,1,13,1,7,2,13,3,6,1,13,7,6,1,9,1,6,1,13,3,7,1,13,10,7,1,13,1,6,2,13,1,6,1,13,3,6,3,13,4,7,1,13,1,6,1,7,1,6,1,13,2,30,1,6,1,13,2,7,1,13,2,8,1,13,1,6,1,7,1,6,4,13,1,6,1,13,2,6,1,13,3,30,1,13,1,7,1,13,4,7,1,6,1,13,1,6,1,11,2,13,2,30,1,6,5,7,1,13,3,6,1,13,5,6,1,13,3,7,1,6,3,13,3,6,1,13,6,6,1,13,1,7,2,6,1,8,1,30,1,13,1,7,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,1,7,1,6,1,13,6,30,1,13,1,6,3,30,1,7,1,6,1,30,1,6,1,28,1,30,3,28,1,6,10,30,1,6,1,13,1,6,2,30,1,6,1,30,1,6,1,29,1,6,1,13,2,6,2,7,1,13,1,6,1,13,1,6,2,30,1,6,1,30,1,6,6,30,1,6,3,13,2,29,1,6,1,13,2,6,1,28,1,30,1,6,1,28,1,30,2,6,1,30,1,29,1,28,2,29,1,30,2,6,3,30,1,28,2,30,1,28,1,6,1,28,1,30,1,6,1,29,1,30,4,6,2,7,1,6,1,29,1,13,1,30,1,6,1,28,1,30,1,6,1,30,1,6,1,30,1,6,1,28,4,30,3,28,14,29,1,8,1,9,1,11,2,12,4,11,2,9,3,8,1,9,4,10,2,11,1,10,1,11,1,10,2,13,1,28,31,30,2,28,2,30,1,29,1,28,2,6,1,30,3,29,1,6,1,7,2,6,2,8,2,13,1,8,1,24,1,8,1,13,1,24,1,8,1,9,1,24,2,10,1,8,1,10,1,8,1,9,2,6,1,28,2,30,2,28,1,30,3,28,1,30,3,28,1,6,2,30,1,6,2,13,1,7,3,6,1,7,1,6,1,7,1,13,1,8,1,7,1,13,1,7,1,13,1,9,2,13,1,30,1,28,1,30,1,6,2,30,2,6,1,30,1,28,2,30,3,28,1,30,1,7,1,30,1,6,1,28,1,29,1,6,2,30,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,1,30,5,29,1,30,1,28,1,30,4,6,2,13,1,9,1,13,7,6,1,13,2,28,48,6,1,29,1,6,1,24,1,7,1,13,2,8,1,13,1,6,1,13,1,8,1,13,1,24,2,13,1,24,1,8,1,24,1,10,1,13,1,24,1,8,1,9,1,10,3,9,2,10,2,24,1,12,1,8,1,24,1,9,1,10,2,24,1,12,2,24,1,10,2,12,1,24,1,10,1,9,1,12,5,24,1,9,1,12,2,17,6,12,1,17,7,12,1,8,1,6,1,7,2,30,1,6,1,28,10,30,1,28,2,30,1,28,2,30,1,28,1,29,1,28,1,29,1,30,3,28,1,30,2,6,2,30,1,6,1,7,1,27,1,25,1,7,1,28,1,7,3,6,1,24,1,9,1,24,3,8,1,10,2,12,1,24,2,17,2,12,1,17,1,10,1,17,2,12,1,10,1,12,2,17,1,12,2,17,2,10,1,12,1,24,1,10,1,8,1,6,1,9,1,12,1,24,1,12,1,17,1,10,1,12,1,17,2,12,1,17,1,12,1,11,1,17,1,10,1,9,1,12,1,10,1,8,1,9,1,24,1,9,1,24,1,10,1,8,1,24,1,8,2,13,1,24,1,8,2,7,1,24,2,8,1,13,1,24,3,7,1,24,4,10,1,24,1,12,1,8,1,12,1,8,1,24,2,9,1,10,1,8,1,10,1,12,1,24,1,12,1,24,1,13,1,24,1,8,2,24,1,12,1,10,1,9,1,12,1,8,1,10,1,8,1,24,9,8,1,9,1,10,1,24,1,10,1,17,1,13,1,12,1,24,1,9,1,12,1,10,1,24,3,8,1,10,1,12,1,8,1,24,2,17,1,13,1,10,1,8,1,24,2,13,1,24,1,12,1,24,1,7,1,24,2,11,1,24,1,10,1,9,1,24,1,10,1,9,1,11,1,8,1,29,1,30,1,28,1,30,1,28,1,30,1,28,11,6,1,28,1,30,2,28,1,30,1,28,1,30,2,6,1,13,1,7,1,6,2,13,2,7,2,29,1,7,1,30,1,13,2,6,1,28,2,30,1,28,3,29,1,30,1,28,91,6,1,28,7,13,1,14,1,15,1,17,1,15,1,10,1,24,1,13,1,7,2,8,1,29,1,30,2,28,2,29,2,7,1,13,3,8,1,9,1,17,1,10,1,17,1,11,1,8,1,28,5,30,1,28,1,13,1,10,1,9,1,13,1,29,1,6,1,28,34,13,1,9,2,8,1,30,1,29,1,13,1,10,1,9,1,24,1,8,1,6,1,30,1,7,1,13,1,8,1,10,1,9,3,17,1,13,1,6,1,30,1,8,1,30,2,6,1,17,1,9,1,6,1,28,2,30,1,29,2,6,2,9,2,15,1,17,2,16,1,9,1,13,1,7,1,8,1,6,1,13,1,9,1,17,1,8,1,7,1,28,2,13,1,9,1,11,1,6,1,28,3,30,3,28,2,30,1,28,37,30,1,7,1,9,1,24,1,13,1,28,9,7,1,}, {28,21,30,1,29,1,28,2,30,2,29,1,28,2,29,1,6,1,13,1,9,1,13,1,7,1,30,1,7,1,13,2,30,1,13,1,7,2,13,1,7,1,13,1,17,2,16,1,11,1,17,1,8,1,10,1,8,1,6,1,30,1,28,8,29,1,6,1,24,1,8,1,13,1,28,5,8,1,17,1,9,1,13,1,8,1,28,1,29,1,6,1,29,1,30,3,28,4,9,1,12,1,8,1,13,1,29,1,28,5,30,1,28,6,8,1,30,1,28,1,7,1,28,37,6,1,9,2,8,1,13,1,30,1,28,1,6,1,13,1,11,1,10,1,13,1,6,2,29,1,28,7,6,1,17,1,10,1,7,1,28,5,12,1,17,1,12,1,10,1,9,1,24,1,8,1,9,1,8,1,9,1,10,1,9,2,10,1,16,1,17,1,9,1,16,2,12,1,16,1,17,1,9,1,7,1,28,7,6,1,28,3,30,1,28,15,30,1,29,1,28,3,29,1,28,1,6,1,7,1,29,1,13,1,12,1,17,1,7,2,28,4,13,1,17,1,24,1,10,2,8,2,13,3,6,1,30,2,6,1,13,1,6,1,7,1,29,1,30,1,6,1,13,1,6,1,8,2,10,1,14,1,11,1,17,1,12,2,16,2,6,1,30,1,28,12,30,1,12,1,17,27,9,3,11,1,16,1,17,10,16,3,9,5,16,1,17,6,16,1,17,1,16,3,11,1,9,2,13,1,16,1,11,1,16,1,11,1,16,1,9,1,28,36,6,1,13,2,6,1,9,2,16,1,11,4,16,1,9,1,16,1,11,3,9,1,11,1,9,2,11,2,9,1,10,1,9,1,17,1,11,1,10,1,16,1,11,2,8,1,9,1,11,1,9,6,13,2,8,2,13,1,7,1,13,1,8,1,6,3,7,1,29,1,6,2,30,1,29,1,6,1,30,1,28,1,29,1,28,75,6,1,28,1,30,1,11,1,16,1,11,1,16,1,17,1,16,3,17,1,11,1,16,1,11,1,10,1,17,1,12,1,10,1,17,1,11,2,16,1,17,1,9,1,12,3,9,2,10,1,24,1,9,1,24,1,8,2,9,1,7,1,13,1,24,1,13,1,24,1,28,1,8,1,6,1,30,1,29,2,30,1,29,1,28,2,29,1,28,77,30,1,13,5,6,1,13,1,30,2,28,1,6,3,13,1,6,1,9,2,13,1,6,1,13,1,6,1,30,2,28,11,13,5,6,1,30,1,13,1,9,1,13,1,28,6,13,2,9,1,13,1,9,1,13,1,9,2,13,2,30,1,28,11,7,1,13,3,6,1,7,1,13,2,9,2,13,3,8,1,9,2,13,2,9,1,13,2,8,1,9,1,13,1,9,2,6,1,9,1,13,2,8,3,13,1,30,1,6,1,9,2,17,4,13,1,11,1,13,2,9,1,13,10,28,1,13,4,8,1,6,4,13,2,6,1,13,1,30,1,6,2,8,1,13,5,6,1,13,2,6,1,13,1,6,1,9,1,7,1,13,5,9,2,13,2,6,5,13,4,6,2,30,1,8,1,13,1,6,1,13,2,9,1,8,1,9,2,13,1,9,1,13,1,9,2,8,1,13,1,9,2,11,1,9,1,11,1,13,1,9,1,16,2,11,2,17,1,16,1,11,1,9,1,11,1,9,1,13,2,7,1,6,2,28,5,30,1,6,1,13,1,7,2,6,1,13,1,6,1,7,2,13,1,7,1,6,1,13,1,6,1,13,1,6,1,13,2,7,1,30,1,13,4,6,1,13,1,6,1,7,1,13,5,9,1,13,1,9,1,7,1,6,1,13,6,8,1,13,3,6,1,13,6,7,1,13,2,6,1,13,1,7,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,7,1,6,2,13,1,30,1,6,1,13,1,6,1,13,2,7,1,13,1,30,1,6,1,29,1,6,3,13,1,6,5,13,1,6,2,13,1,6,1,13,1,30,1,13,1,28,1,6,3,29,1,6,2,30,1,6,1,8,1,30,1,6,1,7,1,6,1,13,1,6,2,30,1,13,1,6,1,13,1,6,1,7,1,6,2,13,1,6,1,13,1,30,1,13,1,28,1,13,1,6,1,13,1,6,2,30,1,13,1,30,1,13,3,6,1,13,1,7,2,13,2,30,1,7,1,13,1,30,1,13,1,6,3,30,1,7,1,6,2,13,1,6,3,13,2,7,1,6,1,7,1,6,3,7,2,6,1,29,1,6,1,13,1,6,2,13,1,30,1,7,1,13,2,9,1,13,1,29,1,13,2,30,1,6,2,13,1,6,1,13,1,7,2,6,2,13,7,30,1,6,4,30,1,13,1,6,7,30,1,13,1,7,1,6,1,13,2,30,1,6,3,7,1,13,2,6,2,7,1,13,1,6,3,13,1,6,2,7,1,6,3,13,1,6,1,13,1,6,1,13,3,6,2,13,2,29,1,13,2,7,1,13,2,6,1,13,2,6,4,13,1,29,1,6,1,13,2,6,1,7,1,13,1,6,1,13,1,7,1,13,2,6,8,7,1,6,1,7,1,6,1,13,1,7,1,13,2,6,1,13,2,6,2,13,2,7,1,30,1,6,2,13,5,6,2,13,5,6,1,7,1,13,8,8,1,13,5,8,2,13,2,9,1,13,8,8,1,6,1,13,1,6,1,13,2,6,1,13,2,6,1,13,5,8,1,13,5,7,1,13,2,7,1,13,9,8,1,6,1,7,1,13,1,6,1,13,1,6,1,13,1,6,1,13,2,7,1,13,4,6,1,8,1,6,1,13,1,8,1,7,3,13,3,6,1,13,2,6,1,13,1,6,1,13,3,6,1,13,1,7,1,13,2,7,3,13,7,6,2,13,1,8,2,13,4,6,1,13,1,6,1,13,1,6,1,13,1,6,1,8,1,6,2,30,1,13,3,6,1,13,5,6,2,8,1,13,1,6,1,13,2,8,1,6,2,13,1,6,1,13,2,6,1,13,2,6,1,13,2,6,1,30,1,6,2,30,1,13,2,30,1,7,2,13,1,7,1,6,3,13,1,6,1,13,1,6,1,13,1,30,1,6,1,30,1,6,1,7,1,6,5,30,1,13,1,30,1,6,2,30,1,6,2,29,2,6,1,29,1,30,1,6,1,30,3,6,5,13,1,30,1,6,1,13,1,6,2,7,1,13,1,30,1,13,1,6,2,30,1,6,2,13,1,6,3,30,1,6,1,30,1,7,1,13,2,6,2,13,1,6,2,29,1,6,1,13,1,6,3,30,2,7,1,6,3,30,2,29,1,7,1,30,2,29,1,6,1,29,1,6,1,30,1,28,1,30,1,6,1,28,1,30,2,6,3,28,1,13,1,6,3,13,2,30,1,13,1,6,1,30,2,6,1,30,1,29,1,30,1,28,9,30,1,28,12,29,1,24,1,9,1,10,1,9,1,11,1,17,1,11,2,12,1,11,2,10,1,9,3,11,1,9,2,11,3,10,1,17,1,11,1,7,1,30,1,28,25,30,1,28,2,30,1,28,6,30,2,29,1,30,1,6,1,7,4,6,1,13,1,7,1,13,4,8,3,10,1,24,1,8,1,9,1,10,1,9,1,24,1,9,2,6,1,28,3,30,11,6,1,29,1,30,1,6,2,30,1,6,2,7,1,6,1,7,1,13,2,6,1,30,1,8,1,13,1,9,1,13,2,9,1,11,1,9,1,13,1,30,2,28,1,6,2,30,1,6,1,30,1,29,1,30,5,6,1,30,1,7,1,30,1,6,2,30,1,6,1,30,1,28,1,30,1,28,2,30,4,28,1,30,3,28,7,30,1,28,5,30,2,28,1,30,2,28,1,7,1,30,1,13,10,6,1,13,1,28,50,25,1,29,1,28,1,8,1,28,1,6,1,13,1,29,1,13,1,6,1,13,1,6,1,24,1,7,1,24,2,8,1,24,3,8,1,10,2,24,4,12,1,17,1,24,1,10,2,8,1,10,1,13,1,24,1,9,1,10,1,8,2,24,4,8,1,12,1,24,1,10,1,8,1,12,2,10,1,9,1,10,1,17,1,10,1,17,2,12,2,17,11,12,1,7,2,6,2,28,1,6,1,28,1,30,1,28,6,30,1,28,1,29,1,28,6,29,1,30,1,28,2,30,2,28,1,6,1,29,1,30,1,6,1,28,3,29,3,25,1,7,2,8,2,30,1,24,2,13,1,24,1,9,3,12,1,24,1,12,2,10,1,12,1,17,1,7,1,11,1,12,2,10,1,17,1,8,1,17,1,11,2,9,1,24,2,10,1,12,1,10,1,17,1,24,1,9,1,12,1,24,1,9,1,10,1,12,1,17,1,12,1,10,1,12,1,9,1,11,1,12,1,9,1,12,1,17,1,12,1,10,1,9,1,17,1,12,1,24,2,8,1,24,1,8,1,24,1,8,1,24,1,12,2,7,1,10,1,8,1,7,1,10,1,6,1,8,1,10,1,24,2,10,1,8,1,24,1,9,1,12,2,8,1,24,1,12,1,24,3,8,2,24,2,9,1,24,1,8,1,9,2,8,1,24,1,8,2,24,1,9,1,24,2,13,1,10,2,24,1,8,2,9,1,13,3,8,1,13,1,8,3,30,1,8,1,6,1,12,1,24,2,13,2,24,1,9,1,10,1,13,1,24,1,10,1,12,1,8,2,9,1,10,1,9,2,8,1,24,1,8,1,24,1,12,1,8,1,10,2,8,1,9,1,24,1,11,1,9,3,13,1,6,1,30,2,29,1,28,3,30,1,28,28,30,1,28,4,30,1,29,1,30,1,28,3,30,1,28,6,6,1,28,76,30,1,28,2,13,1,28,7,29,1,28,6,30,1,24,1,14,1,15,1,12,1,15,1,8,1,13,2,8,1,13,1,6,1,29,1,6,1,28,1,30,3,7,1,13,1,6,1,8,1,13,1,9,1,11,1,17,1,16,1,17,1,12,1,13,1,28,6,29,1,13,1,12,1,9,1,13,1,29,1,6,1,28,34,7,1,11,1,13,1,30,2,28,1,8,1,10,1,12,1,24,1,6,1,29,1,7,1,6,1,8,2,10,1,9,1,10,1,13,1,9,2,29,1,30,2,6,1,28,1,7,1,15,1,11,1,6,1,28,3,6,1,29,1,6,1,7,1,24,1,10,1,15,1,16,1,15,1,10,1,9,1,7,1,6,1,7,1,6,2,9,1,17,1,10,1,13,1,6,1,28,1,13,1,12,1,17,1,7,1,30,1,28,5,29,1,28,39,30,1,13,1,24,1,8,2,28,9,29,1,}, {28,4,30,1,28,2,30,1,28,11,30,2,28,1,6,2,28,1,6,1,28,1,30,1,6,1,30,1,6,1,13,1,17,2,13,1,6,2,30,1,28,1,29,1,6,2,8,2,13,1,8,1,9,1,12,1,17,4,9,1,8,2,13,1,28,9,6,1,13,1,8,1,10,1,6,2,28,4,13,1,24,1,12,1,9,2,6,3,30,1,28,7,9,2,6,1,8,1,6,1,28,1,30,1,28,2,30,1,29,1,28,7,30,1,6,1,28,36,6,1,8,1,7,1,6,1,30,1,28,5,6,1,9,2,13,1,6,2,28,7,29,1,6,1,10,1,12,1,13,1,30,1,28,4,17,3,11,1,12,1,10,1,9,1,24,1,10,1,9,1,17,1,11,1,9,2,17,1,11,2,9,2,16,1,17,2,8,1,29,1,28,34,6,1,8,2,11,1,10,1,9,1,24,1,6,1,30,1,28,3,6,1,15,1,12,1,24,1,9,1,7,1,8,1,13,1,6,4,29,1,13,1,7,1,6,2,28,1,30,1,6,2,8,2,9,1,8,1,9,1,10,1,17,1,12,1,16,2,14,1,8,1,29,1,28,13,11,1,17,24,16,2,11,2,9,2,16,1,17,7,16,2,17,3,11,1,9,4,11,1,16,2,17,3,16,1,17,2,16,1,11,1,9,1,13,1,9,2,11,1,9,2,11,1,16,1,9,1,13,1,30,1,28,34,7,1,6,1,13,3,6,1,13,1,9,1,11,2,16,1,11,1,10,1,11,2,16,1,9,3,11,1,10,2,11,1,9,3,10,1,9,2,16,1,11,2,10,1,9,1,11,1,10,1,9,4,11,1,8,1,13,1,8,1,13,1,8,1,13,1,6,1,13,1,6,1,7,2,13,1,7,1,29,1,6,3,30,1,6,2,28,1,6,1,29,1,28,72,30,1,28,1,7,1,9,2,17,3,10,1,16,1,17,3,11,1,9,1,12,2,17,2,9,1,12,1,11,2,17,1,12,1,10,1,12,1,11,2,12,2,9,2,11,1,13,1,8,3,9,2,13,1,8,1,6,2,7,1,13,1,29,1,30,1,6,2,30,1,28,2,30,1,28,79,30,1,13,3,6,3,13,1,6,1,30,1,6,1,28,2,30,1,28,1,13,1,9,2,13,2,6,1,13,2,6,1,13,1,28,11,13,1,9,1,13,2,9,1,28,1,30,1,13,1,9,1,13,1,28,6,6,1,13,2,9,1,8,1,11,2,9,3,6,1,28,11,13,2,9,1,13,2,6,1,13,1,9,4,13,1,8,1,13,1,9,3,13,1,9,2,13,1,9,2,8,1,9,1,13,1,9,1,13,2,8,1,13,1,9,1,13,1,6,2,9,3,17,3,9,1,13,1,11,1,9,1,13,1,8,1,13,3,30,1,13,2,8,1,13,1,30,1,6,1,13,3,30,1,13,11,6,1,13,1,9,1,13,2,7,1,13,2,8,1,13,1,7,1,13,2,30,1,13,1,8,1,7,1,29,1,13,6,7,1,6,2,13,1,6,3,13,1,6,1,28,1,30,1,13,7,9,4,13,1,9,1,13,2,9,2,13,2,9,1,11,3,9,1,11,2,17,1,11,3,16,1,9,2,6,1,13,1,6,1,13,1,28,1,30,1,28,5,7,1,13,1,30,1,13,1,6,2,13,1,7,1,6,1,13,2,7,1,13,1,6,1,13,2,7,1,13,1,9,1,13,1,7,1,13,3,6,1,7,1,13,1,6,1,7,1,13,3,6,1,13,1,6,1,13,1,9,1,13,1,6,1,13,16,7,1,13,4,9,1,13,1,6,2,13,2,29,1,7,1,13,1,6,4,7,1,6,1,13,1,29,1,13,1,6,1,30,1,6,1,7,1,13,2,6,1,13,2,29,1,6,1,13,2,6,2,13,2,6,1,13,1,6,1,7,1,6,1,13,1,6,4,30,1,6,1,13,1,6,1,30,1,13,2,6,1,13,1,7,1,6,2,30,1,6,2,7,2,6,2,13,1,6,2,7,1,6,1,7,2,6,2,13,3,30,1,6,1,7,1,6,1,13,1,6,1,13,2,6,1,13,1,6,2,13,1,6,3,13,1,6,1,7,1,6,1,13,2,6,1,13,2,6,5,13,1,6,4,13,1,7,1,6,3,30,1,13,1,6,1,13,2,6,1,29,1,7,1,13,1,6,2,13,1,11,1,13,1,6,2,13,1,29,1,6,4,30,1,6,3,13,2,7,1,30,1,13,1,6,1,30,1,6,2,29,1,6,2,30,2,6,1,30,1,29,1,6,1,28,1,30,2,6,1,30,1,28,1,30,2,6,1,30,4,7,1,30,1,28,1,30,2,29,1,30,1,28,1,30,1,6,2,30,1,6,1,30,2,13,1,7,1,6,1,13,1,30,1,13,5,9,1,13,1,6,3,13,2,30,1,6,2,13,2,6,1,13,2,30,1,6,6,29,1,7,2,6,3,13,1,6,2,13,1,30,1,6,2,7,1,6,1,13,2,7,1,13,1,6,1,13,4,8,1,13,2,6,3,13,3,7,1,13,1,9,1,6,2,13,1,6,2,13,2,6,1,13,3,8,1,13,1,6,1,13,8,8,1,13,2,8,1,13,3,8,1,13,4,8,1,13,1,8,1,13,1,6,1,13,2,6,1,13,1,6,1,13,3,7,1,13,4,6,1,13,1,8,1,13,1,6,1,13,6,7,1,13,7,6,1,7,1,13,1,7,1,13,3,6,1,13,1,6,1,13,7,7,1,13,1,7,1,13,2,6,1,13,3,7,1,13,1,6,1,13,3,6,1,13,3,6,1,13,1,6,1,13,2,7,1,13,1,29,1,9,1,13,8,6,1,13,1,6,1,13,1,9,2,8,1,6,2,13,1,6,1,29,1,6,1,29,1,13,1,6,1,13,1,6,2,13,1,30,1,13,1,6,2,13,5,6,1,13,6,6,1,13,3,30,1,13,1,6,1,13,2,6,1,13,1,6,1,7,1,6,1,30,1,6,2,7,1,13,1,6,1,13,1,7,1,13,1,6,1,13,2,6,2,13,1,7,1,13,3,6,1,13,1,8,1,7,1,13,1,6,1,30,1,6,1,7,1,6,1,7,1,6,1,30,1,6,1,13,1,6,3,30,1,7,1,13,1,6,1,13,1,6,7,30,1,7,1,30,1,6,3,30,1,6,1,7,2,13,1,30,1,13,1,6,6,29,1,6,1,30,2,6,2,30,1,9,1,8,1,6,1,30,1,6,2,29,1,6,1,30,2,29,1,6,2,13,1,6,3,29,1,6,2,7,2,6,1,30,2,7,1,6,1,30,2,29,1,30,1,29,1,30,1,7,1,30,1,6,1,28,1,6,2,30,1,7,1,6,1,30,1,6,2,13,1,30,2,6,2,30,6,28,3,30,1,28,2,30,1,6,1,29,1,28,14,30,1,13,1,12,1,10,1,17,2,11,2,10,1,11,1,10,2,8,1,11,1,8,2,9,2,10,2,12,2,17,2,12,1,9,2,28,28,30,2,6,1,30,2,6,1,28,1,6,2,30,1,6,4,7,1,8,1,7,2,8,1,13,1,8,1,13,1,24,1,8,1,24,2,9,2,10,1,8,1,9,1,6,1,28,3,30,1,28,1,30,1,28,1,30,3,6,1,28,1,30,3,28,1,29,1,6,2,30,1,29,1,28,1,30,1,6,4,7,1,30,1,13,1,29,1,13,2,9,1,13,1,6,1,7,1,9,1,11,1,8,1,6,1,30,1,28,1,30,1,6,2,30,1,29,1,30,4,6,2,30,1,13,1,6,1,13,1,6,2,29,1,6,1,30,1,28,1,30,2,28,1,30,1,28,1,30,2,28,5,30,2,28,8,30,3,28,2,30,1,28,1,30,1,6,1,29,1,30,1,13,4,8,1,13,1,6,1,13,2,6,3,28,49,30,2,6,1,30,1,7,2,8,1,7,2,24,2,7,1,8,3,24,1,13,1,10,1,9,1,24,1,13,1,24,2,10,1,8,1,10,1,24,2,10,1,12,1,10,1,12,1,24,1,17,1,24,1,9,1,24,2,8,1,24,1,9,1,8,1,24,1,13,2,10,1,8,1,10,1,8,1,24,1,17,1,24,1,17,1,24,1,17,1,12,2,17,1,10,1,17,3,12,1,17,9,12,1,10,1,9,1,29,1,30,3,28,1,30,2,28,1,29,1,28,3,29,1,30,1,6,1,29,1,28,1,30,1,28,3,30,1,28,3,6,1,30,1,6,1,29,2,30,1,29,1,7,1,29,1,6,1,25,1,29,1,6,1,28,1,29,1,6,1,8,1,24,3,10,1,24,1,17,1,24,1,12,1,9,2,12,1,17,1,10,1,12,1,17,1,8,1,17,3,12,2,10,1,17,1,10,1,12,3,10,1,17,1,24,1,9,1,17,1,9,1,10,1,12,1,24,1,10,1,17,1,10,1,9,1,12,2,11,1,17,1,11,2,9,1,17,1,12,1,24,2,10,1,12,1,7,1,24,5,9,1,10,1,8,1,24,1,6,1,8,1,24,3,25,1,8,1,24,3,13,1,8,1,9,1,10,1,8,1,9,1,7,1,10,1,6,1,7,1,13,1,24,3,8,1,10,1,24,1,13,2,8,1,12,1,24,1,10,1,8,2,9,1,12,1,24,1,13,1,24,1,13,1,8,1,13,2,17,1,8,1,24,1,13,1,6,1,13,1,24,2,8,1,24,2,12,1,8,1,12,1,24,1,8,2,13,1,9,1,13,1,24,1,13,1,9,2,10,2,12,2,7,1,17,1,24,1,17,1,9,2,17,1,24,1,13,2,24,1,10,1,9,2,11,1,10,1,8,1,10,1,8,1,28,3,29,1,28,1,30,1,28,125,30,1,28,1,30,1,28,9,29,1,28,2,30,1,28,3,30,1,8,1,14,2,17,2,10,1,24,1,13,1,8,1,13,1,6,1,29,1,30,3,29,1,30,1,13,2,7,1,8,1,9,3,12,1,11,1,16,1,11,1,30,1,28,7,8,3,13,1,29,1,30,2,28,33,8,1,9,2,6,1,30,1,6,1,8,1,12,1,9,2,8,1,6,2,29,1,13,2,8,1,13,1,9,4,30,1,29,1,28,1,29,1,28,1,13,1,9,1,12,1,7,1,28,2,30,1,6,2,29,1,13,1,9,1,10,2,12,1,16,1,9,1,8,1,13,1,6,4,8,1,17,1,13,1,6,2,30,1,13,1,11,1,24,1,13,1,30,1,28,3,29,1,28,1,30,1,28,40,13,1,9,1,10,1,6,1,28,6,30,1,28,2,13,1,}, {28,2,30,1,6,1,13,1,28,6,30,1,28,6,6,1,28,1,6,1,28,3,30,2,28,2,6,1,30,1,13,1,12,1,17,1,9,1,13,1,7,1,6,2,7,1,28,1,13,1,7,1,13,1,8,1,13,2,9,1,12,1,17,1,12,1,17,2,10,1,9,1,10,1,6,1,28,4,30,1,28,3,29,1,30,1,7,1,10,1,12,1,7,1,28,4,6,1,30,1,12,1,17,1,11,1,24,1,6,3,28,1,30,3,28,3,30,1,8,1,15,1,6,1,8,1,7,1,28,1,29,1,28,1,29,1,28,2,30,1,6,1,30,1,28,2,30,1,28,36,29,1,6,1,13,1,28,10,30,1,13,1,8,1,6,3,30,1,28,7,7,1,10,1,8,1,6,1,28,4,29,1,10,1,17,3,12,1,9,1,8,1,13,1,12,1,9,1,10,1,11,1,10,1,12,1,17,2,16,3,11,1,12,1,11,1,8,1,30,1,28,16,30,1,28,13,6,1,29,1,28,1,29,1,13,1,6,2,13,1,12,1,14,1,17,1,7,1,30,2,28,2,6,1,24,1,12,1,10,1,9,2,13,1,8,1,7,1,13,1,6,2,29,1,13,1,7,1,6,2,29,1,28,2,8,3,13,1,8,1,13,1,9,1,17,1,11,1,17,1,16,1,14,1,13,1,30,2,28,12,17,25,16,2,10,1,16,1,9,2,16,1,17,6,16,1,17,3,16,2,9,3,11,1,9,1,16,2,17,3,16,1,17,1,16,2,11,4,13,1,11,3,9,3,6,1,28,30,13,1,28,1,6,1,13,2,9,3,13,2,28,1,6,1,9,1,10,2,11,1,9,1,11,1,9,1,16,1,10,1,9,1,10,1,9,2,10,2,11,1,9,1,12,1,11,1,9,1,11,1,16,3,10,1,9,1,16,1,9,4,10,1,9,2,8,1,9,1,8,2,13,5,6,1,13,1,30,1,7,2,6,1,8,1,6,2,29,1,30,1,6,1,28,1,6,1,28,73,6,1,8,1,10,1,17,1,11,1,17,4,16,2,11,1,17,1,12,3,17,1,16,1,12,1,11,1,17,1,11,1,10,1,17,1,12,1,9,1,17,1,9,1,10,1,9,1,11,2,8,1,24,1,9,1,8,1,13,1,9,1,8,1,24,1,8,1,13,2,24,1,13,1,7,2,30,1,6,1,30,1,6,1,28,3,30,1,28,78,13,1,6,3,30,1,6,1,13,1,30,1,13,2,30,1,13,1,6,1,13,6,6,1,13,2,6,2,30,1,28,11,13,4,9,1,30,1,13,2,9,1,13,1,28,6,6,1,9,1,13,1,11,1,13,1,11,1,9,1,11,2,9,1,13,1,30,1,28,10,6,2,10,1,9,1,13,2,30,1,9,1,13,1,9,2,13,1,16,1,13,4,9,1,8,1,13,1,9,1,11,1,9,1,13,1,11,1,9,1,8,1,9,1,13,1,9,1,8,1,6,1,13,1,6,1,28,1,9,1,13,2,17,3,11,1,10,1,11,1,13,1,8,1,13,6,9,2,8,1,6,1,13,2,28,1,13,1,6,1,13,2,9,1,6,1,30,1,13,3,9,1,13,1,6,1,13,4,8,1,13,1,6,2,13,1,9,1,6,1,29,1,13,3,6,2,13,4,30,2,13,2,7,1,8,1,9,1,13,1,6,4,13,3,6,1,13,3,9,1,13,3,9,2,13,2,9,1,8,1,13,1,8,1,13,1,9,1,13,1,11,1,9,2,17,1,16,2,9,1,16,2,9,2,13,1,6,1,13,1,6,1,30,2,28,6,6,1,13,2,7,1,13,1,6,1,13,1,6,1,13,1,7,1,13,2,6,1,8,1,13,9,6,1,13,5,6,3,13,1,7,1,13,13,6,1,13,3,7,1,13,1,6,1,13,2,6,2,13,3,8,1,13,1,6,1,13,1,6,4,13,1,7,1,13,1,6,1,13,3,7,1,6,2,13,1,6,2,7,1,30,1,6,1,13,2,30,1,7,1,13,1,6,1,7,2,13,1,6,1,7,1,13,1,6,1,13,2,7,1,13,1,6,2,13,1,6,5,13,2,6,3,7,1,30,1,6,4,13,1,6,2,7,1,13,2,6,3,29,1,13,3,6,7,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,1,29,1,30,1,13,2,29,1,7,1,6,1,30,1,7,1,6,1,30,1,6,1,30,1,6,10,30,2,28,1,30,1,6,1,28,1,30,1,28,4,30,2,28,1,30,1,28,1,8,1,13,1,28,1,30,1,28,1,30,2,28,1,30,1,28,4,30,1,28,3,30,2,28,1,6,1,30,1,28,3,30,1,28,1,30,1,28,9,30,1,29,1,30,1,6,1,28,3,30,1,28,3,30,1,28,1,6,1,28,1,30,1,6,1,30,1,28,3,30,1,28,3,30,1,28,2,29,1,30,2,29,1,30,1,28,2,6,3,28,3,30,1,28,1,30,5,29,1,6,4,30,4,6,1,30,3,6,1,28,1,30,2,13,3,30,1,6,2,13,2,6,1,13,1,6,1,13,3,6,1,8,1,7,1,6,1,13,15,6,1,13,1,6,2,13,3,7,1,13,2,6,1,13,3,9,1,13,10,7,1,13,3,6,1,13,10,7,1,6,2,13,1,7,1,13,2,6,1,13,1,7,1,13,6,7,1,13,6,7,2,13,2,6,1,13,1,7,1,6,1,13,5,6,1,13,5,6,1,13,2,7,1,13,3,6,1,30,1,13,3,6,1,13,6,7,1,13,1,6,1,13,1,6,1,13,2,6,1,13,3,7,1,13,5,6,1,13,2,30,1,13,3,6,4,7,1,6,1,7,1,13,1,6,1,13,2,28,1,13,1,6,2,13,2,6,2,13,4,6,1,13,1,7,1,13,1,6,1,13,3,29,1,6,1,13,2,6,1,7,2,6,1,13,1,30,1,6,1,7,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,13,3,7,1,13,2,7,1,13,1,7,1,13,1,6,1,9,1,13,1,6,1,13,1,6,1,13,1,6,1,13,1,6,5,13,2,6,3,13,1,6,1,7,1,13,1,7,1,6,2,29,1,6,8,13,1,6,2,13,1,6,5,30,1,6,1,30,1,7,2,30,1,13,2,6,3,30,1,6,2,13,1,6,1,7,1,13,1,30,1,6,1,13,1,30,1,6,5,7,1,29,1,7,1,13,2,6,5,13,1,6,2,29,1,13,2,30,1,13,1,7,1,6,2,30,1,7,1,30,3,13,2,6,2,13,1,6,1,30,1,6,3,30,3,6,2,30,1,6,2,29,1,30,2,28,1,30,2,28,2,30,1,7,1,29,1,28,2,7,1,28,10,6,1,24,1,9,1,11,1,17,1,9,2,11,1,10,1,9,4,10,1,9,2,10,1,9,1,10,1,11,1,17,1,11,1,9,1,10,1,12,1,17,1,12,1,13,1,28,17,30,1,28,1,30,1,29,1,30,2,28,1,6,1,30,1,6,1,28,1,7,1,6,1,28,1,6,2,30,1,6,1,7,1,6,1,8,1,13,1,8,1,7,2,13,1,8,1,24,1,13,1,8,2,24,2,8,1,9,1,11,1,9,1,13,1,28,5,30,3,28,1,30,1,28,1,30,3,6,1,30,5,6,1,29,1,30,3,6,3,13,1,6,1,13,1,6,1,13,1,6,1,13,1,9,2,8,1,13,3,10,1,9,1,13,1,30,1,6,2,30,1,28,1,30,1,6,1,28,2,13,1,30,1,28,1,7,1,30,1,6,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,28,2,30,1,28,1,30,2,28,1,30,2,6,1,28,1,30,2,28,2,30,1,28,4,30,3,28,5,30,1,29,1,6,3,13,6,6,1,30,1,29,2,6,1,7,1,28,50,6,2,7,1,6,2,10,1,24,1,6,1,8,1,13,2,7,1,8,1,13,1,10,1,24,5,8,2,12,1,9,1,10,1,12,1,10,2,17,1,8,1,12,1,8,1,24,1,10,1,24,1,10,1,8,1,24,1,10,1,24,1,8,1,24,1,10,2,8,1,12,1,24,1,10,2,12,1,10,3,9,1,12,2,10,1,12,5,17,3,12,2,17,7,8,1,24,1,13,1,28,7,30,1,28,1,30,1,28,1,29,1,28,1,30,2,28,5,30,1,29,1,28,1,30,1,28,2,6,1,29,1,6,1,30,2,29,1,25,1,30,1,29,1,6,1,7,1,25,1,24,1,8,1,24,1,9,1,8,1,13,1,10,1,12,1,10,1,12,1,17,2,12,1,10,1,12,1,17,1,12,1,17,1,24,1,17,2,9,1,24,2,9,1,17,1,12,1,10,1,9,1,8,1,24,1,10,1,24,1,8,1,24,1,8,1,24,1,9,1,8,1,17,1,10,1,17,2,9,1,12,1,11,1,17,1,11,1,8,1,9,1,17,1,10,1,24,1,10,1,24,1,10,1,13,1,24,1,7,1,24,1,7,1,8,1,24,2,13,2,24,3,8,1,24,2,8,2,24,1,9,1,24,1,10,1,24,1,10,3,13,1,24,1,8,1,13,1,24,2,12,1,24,1,12,1,8,1,12,1,9,1,8,1,7,1,13,1,9,1,12,1,24,1,8,1,24,1,8,1,13,1,24,1,13,1,24,1,8,2,24,2,8,1,24,2,8,2,13,1,9,1,10,1,12,1,24,1,8,2,12,1,13,1,24,1,8,1,12,1,10,2,12,1,10,1,8,2,24,1,17,1,24,1,9,1,8,1,9,1,8,2,24,1,9,1,24,1,12,1,8,1,24,1,12,1,9,1,13,1,9,2,13,1,28,2,30,2,6,1,28,107,30,1,28,23,30,1,28,8,30,1,28,6,14,1,17,2,12,2,8,2,13,2,8,1,30,1,29,2,30,3,13,2,7,1,9,1,8,1,24,1,9,2,17,1,16,1,11,1,12,1,7,1,28,7,13,1,9,1,8,1,6,1,30,1,29,1,28,34,8,1,9,1,8,1,6,1,30,2,13,1,12,1,9,2,13,1,30,1,6,1,7,1,6,1,7,1,8,1,24,1,9,1,8,1,12,1,6,2,28,1,30,2,28,1,6,1,17,1,9,1,7,1,28,2,29,2,6,2,13,1,8,1,12,1,15,1,12,1,16,1,11,1,9,1,13,1,6,1,7,1,6,2,9,1,14,1,12,1,7,1,28,2,13,1,8,1,17,1,7,1,28,7,30,1,28,39,6,1,12,1,9,1,13,1,28,8,6,1,13,1,}, {28,9,30,1,28,7,29,1,28,2,13,1,28,1,30,6,28,1,30,1,29,1,13,1,8,1,6,1,13,1,7,1,6,1,7,1,28,1,6,2,9,1,13,2,8,1,13,1,9,1,11,2,9,1,17,1,12,1,8,1,9,2,24,1,28,6,30,1,29,1,6,1,30,1,6,1,12,1,9,1,8,1,7,1,28,4,7,1,12,1,17,1,9,1,8,1,13,1,6,1,30,1,6,1,30,1,28,1,30,2,28,3,13,1,17,1,8,1,6,1,30,1,28,1,30,3,6,3,28,40,29,1,6,1,28,13,6,1,13,2,28,1,30,2,28,6,29,1,6,1,17,1,24,1,6,1,30,1,28,2,29,2,17,3,9,2,24,1,12,2,17,2,10,1,17,1,12,1,10,1,16,1,17,1,16,1,11,1,16,1,12,1,17,2,13,1,29,1,28,25,30,1,28,7,29,1,6,1,7,1,30,1,6,1,9,1,12,1,24,2,30,2,28,2,6,1,12,1,10,1,15,1,24,1,9,1,24,2,8,1,13,1,6,3,13,2,6,1,30,2,28,1,29,2,8,2,10,1,8,1,24,1,10,1,12,2,16,1,17,1,14,1,8,1,29,1,28,13,11,1,17,24,11,2,9,3,16,1,17,1,16,1,17,3,16,1,17,4,16,1,11,2,9,1,11,1,9,2,17,1,16,2,17,2,16,1,17,1,16,1,9,1,11,1,9,2,13,2,11,1,16,1,9,1,16,1,13,2,6,1,28,28,30,1,6,1,13,1,6,1,9,1,13,2,6,2,13,1,6,1,13,1,28,2,8,1,9,1,11,1,9,3,11,1,10,1,9,1,11,3,9,1,11,1,10,1,9,1,11,1,9,1,11,2,9,3,11,3,10,1,11,2,9,5,8,1,9,2,13,2,9,1,6,3,7,1,6,1,30,1,6,2,8,2,13,1,8,1,29,1,6,1,28,1,29,1,28,1,7,1,30,1,28,69,29,1,13,1,8,1,11,2,12,2,16,1,17,3,16,1,11,1,12,1,17,2,12,1,11,1,12,1,17,1,12,2,17,1,11,1,12,1,17,1,10,1,11,1,12,1,9,1,11,1,9,2,10,2,9,1,8,1,9,1,24,1,9,1,13,1,9,1,6,1,8,1,24,1,6,1,24,1,6,1,13,1,6,1,30,2,6,1,29,1,28,2,30,2,28,68,30,1,28,8,13,2,6,1,7,1,6,1,30,1,6,1,13,2,30,3,6,2,13,7,6,1,13,1,30,1,13,1,28,1,30,1,28,10,6,1,13,3,9,1,13,2,9,3,28,6,13,2,9,4,16,1,9,2,11,1,13,1,6,1,28,11,6,1,13,1,16,1,13,4,9,2,13,1,11,1,13,1,9,1,13,1,8,1,11,1,9,1,13,1,9,1,13,1,8,1,13,2,9,2,13,1,9,1,7,1,13,7,6,1,9,1,17,3,13,1,9,1,11,1,9,1,13,2,9,2,13,1,6,1,8,1,13,1,9,2,13,1,6,1,13,1,6,1,13,6,9,1,6,1,13,1,30,1,13,9,6,1,9,1,6,1,13,1,7,1,28,1,13,1,9,1,6,1,30,1,6,1,13,1,7,1,30,1,6,1,30,1,6,4,13,1,6,1,13,2,6,1,13,1,30,1,6,1,13,2,8,1,9,1,13,3,9,1,13,1,9,1,13,1,9,1,13,4,9,2,13,1,8,1,13,1,11,1,9,1,16,2,11,1,16,1,11,2,9,1,13,1,8,1,9,1,13,2,28,8,6,1,13,1,6,1,13,2,6,1,7,1,13,2,7,1,6,1,13,9,6,1,13,2,7,1,13,3,6,1,13,1,6,1,13,2,6,1,13,6,6,1,13,1,8,1,13,5,6,1,8,2,13,3,8,1,13,1,7,1,13,1,7,1,9,1,6,1,13,1,29,1,13,2,6,2,13,3,7,1,6,3,13,2,7,1,6,1,13,1,6,1,13,2,6,1,7,1,6,2,13,1,6,1,13,1,6,2,13,2,7,1,6,1,13,1,6,1,13,3,6,1,7,1,13,2,6,1,13,1,6,3,13,1,6,1,13,1,28,1,13,3,6,2,13,2,30,1,13,1,7,1,13,1,6,1,13,1,7,1,6,1,7,2,13,1,6,3,30,1,6,4,13,2,30,1,6,3,29,1,6,1,7,1,30,3,6,2,30,1,28,1,30,2,6,1,30,2,28,1,6,1,30,2,28,2,30,2,6,1,30,1,28,1,30,1,6,2,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,2,6,1,13,3,9,1,13,1,6,1,30,1,29,1,6,1,28,1,6,2,13,1,6,2,13,1,6,2,13,8,10,1,13,3,9,1,11,1,13,2,8,1,13,1,8,2,13,1,6,1,13,2,8,1,13,3,8,1,9,2,8,1,9,1,13,2,8,1,13,2,6,1,9,1,13,6,6,1,13,10,6,2,30,1,6,2,30,1,6,2,30,4,28,13,30,1,28,2,30,1,28,7,30,1,28,3,30,1,6,1,28,1,13,2,6,1,13,2,30,1,6,2,30,1,8,1,13,1,30,1,7,1,13,4,7,2,13,5,7,1,6,1,13,1,6,1,13,1,30,1,13,6,8,1,9,1,13,8,6,1,13,8,6,1,13,2,6,2,13,2,6,1,13,3,6,1,13,1,6,1,8,1,13,3,6,1,13,4,6,1,13,2,6,2,30,1,13,1,6,1,7,1,6,1,8,1,30,1,6,1,13,1,6,2,13,1,30,1,13,1,6,1,7,1,13,3,7,1,6,1,13,3,6,1,13,1,8,1,13,1,6,1,13,1,7,1,13,1,6,1,29,1,13,5,6,1,13,3,6,1,13,2,6,2,13,2,7,1,13,3,6,1,13,1,6,1,13,2,9,1,8,1,13,1,6,3,30,1,6,2,7,2,6,1,13,2,6,1,13,1,6,1,13,5,30,1,6,1,13,1,6,2,13,1,8,1,13,7,6,2,13,2,6,1,13,1,7,1,13,1,6,1,13,4,6,4,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,4,28,1,6,1,13,2,30,1,13,2,6,1,7,1,6,1,29,1,13,3,30,1,13,1,6,1,13,1,7,1,6,1,29,1,6,1,28,1,13,1,7,1,6,1,13,1,7,1,13,1,30,1,6,4,30,1,13,1,6,4,7,1,29,1,13,1,6,2,13,1,6,2,13,1,6,1,7,1,6,1,13,1,30,1,6,1,30,1,13,2,30,1,6,1,30,1,6,2,13,1,30,1,6,3,13,1,30,1,6,2,13,1,6,2,30,1,6,7,7,1,13,1,30,1,7,1,29,1,6,3,30,1,6,1,13,1,6,1,30,1,6,2,30,1,6,2,13,1,6,2,13,1,30,1,7,1,6,1,30,1,29,1,6,1,30,1,6,1,29,4,6,1,29,1,6,1,28,3,30,2,6,1,29,2,28,13,13,1,24,1,9,1,12,1,8,1,10,1,11,2,9,1,10,1,9,6,11,1,10,1,11,1,10,1,11,5,17,2,9,1,13,1,28,8,30,5,28,2,30,1,6,2,29,1,6,1,30,1,29,1,6,4,7,1,29,1,7,1,29,1,6,1,7,1,6,1,13,1,7,2,13,1,8,1,24,1,8,1,9,1,8,1,10,1,24,1,11,1,24,1,8,1,9,1,7,1,28,3,30,1,6,1,29,1,6,1,28,2,30,1,28,1,30,6,6,1,30,5,29,1,30,3,29,1,6,2,13,1,30,1,7,1,13,1,6,1,13,1,8,1,9,3,8,1,13,2,11,1,9,2,7,1,6,2,28,1,30,1,28,1,30,2,28,1,6,1,30,1,29,1,30,1,6,2,30,1,6,2,13,1,28,1,30,1,28,1,30,1,28,1,6,1,30,2,28,1,30,2,28,2,30,2,28,1,30,2,28,2,30,1,28,2,29,1,6,1,30,8,28,1,6,2,13,1,6,1,7,1,6,1,30,2,6,1,13,1,30,1,29,1,30,2,28,1,30,1,28,45,30,1,28,2,29,1,28,1,13,1,7,1,6,1,7,1,24,1,7,2,6,1,24,2,8,1,24,1,12,1,24,1,8,2,24,1,8,1,24,6,12,1,24,1,10,1,24,1,12,1,24,3,9,1,24,2,12,1,7,1,24,3,8,1,10,2,17,1,10,1,24,1,12,1,24,3,10,1,17,1,12,1,10,1,12,1,8,1,12,1,11,1,17,2,9,1,17,1,12,1,17,1,12,1,17,8,12,1,8,1,13,1,6,1,28,4,30,1,28,8,30,1,28,2,30,1,28,3,30,1,29,1,28,2,30,1,28,1,30,1,29,1,6,1,29,1,6,1,25,2,7,1,25,1,7,1,24,1,25,1,6,1,8,1,9,1,24,1,12,1,24,1,17,1,10,1,12,1,10,1,17,2,9,1,12,1,24,1,17,1,9,1,10,2,12,1,17,1,9,1,12,1,9,1,17,1,24,1,10,1,17,1,10,1,24,1,9,1,12,1,24,1,12,1,24,1,17,1,12,1,24,1,12,1,9,1,17,1,9,1,17,3,10,1,12,1,17,1,9,1,17,1,24,1,12,1,10,1,8,2,7,1,8,1,10,1,13,1,24,2,8,1,6,1,24,1,8,3,24,2,8,1,24,1,10,1,8,2,10,2,9,1,10,1,12,1,24,1,8,1,24,3,8,1,10,1,7,1,24,1,12,1,24,5,12,1,8,1,7,1,24,1,8,1,12,1,24,1,9,1,6,1,24,1,12,1,13,2,10,1,8,2,7,1,13,1,24,1,8,1,24,1,7,1,24,1,12,2,9,1,12,1,13,1,24,3,10,1,24,1,8,1,10,1,24,1,10,1,9,1,8,1,24,1,10,1,9,1,24,1,9,1,12,1,10,1,8,1,12,1,10,1,12,1,9,1,11,1,9,1,10,1,9,2,28,1,30,1,28,1,30,2,28,2,30,2,28,113,30,1,28,15,29,1,6,1,28,9,30,1,28,2,30,2,8,1,11,1,16,1,17,1,16,1,12,1,8,1,7,1,8,1,6,1,7,1,29,1,6,1,30,1,6,1,29,1,30,1,6,1,13,1,10,1,8,2,11,1,10,1,11,1,12,2,11,1,13,1,28,7,13,1,8,2,6,1,30,1,28,35,8,1,9,1,8,1,6,2,29,1,9,2,10,1,8,1,24,1,13,1,29,1,7,1,6,1,13,1,8,2,10,1,12,1,9,1,13,1,6,1,28,1,30,2,28,1,8,1,11,1,12,1,28,3,29,1,6,1,30,1,29,1,6,1,10,1,12,2,17,1,9,1,10,1,24,1,6,1,7,1,30,1,6,1,29,1,9,1,12,1,8,1,6,1,28,1,30,1,13,1,12,1,10,1,7,1,30,1,28,6,30,1,28,1,30,1,28,36,30,1,6,1,12,1,8,1,30,1,28,8,29,1,6,1,}, {29,1,28,5,30,1,28,8,30,1,28,1,6,2,28,3,30,2,29,1,28,2,6,2,29,1,6,1,8,1,6,1,13,1,6,2,13,1,29,1,6,1,7,2,6,1,7,1,13,1,8,3,11,1,17,1,10,1,17,1,16,1,9,1,13,1,14,1,13,1,28,3,30,1,28,5,6,1,28,1,12,1,17,1,8,1,6,1,28,3,6,2,17,1,12,1,9,2,13,1,7,1,6,1,30,1,6,1,30,1,28,1,30,1,28,3,10,1,9,1,24,1,6,1,29,1,28,1,6,1,28,1,13,1,28,1,29,1,30,1,28,1,30,1,28,36,13,1,30,1,28,12,6,1,28,1,29,1,6,3,13,1,28,8,30,1,13,1,17,1,9,1,30,1,28,2,30,1,28,1,6,1,17,3,12,1,16,2,11,1,10,1,12,2,17,6,16,1,9,1,10,1,9,1,12,1,16,1,11,1,28,32,30,1,28,1,29,1,6,2,13,1,29,1,24,1,10,1,12,1,13,2,28,1,29,1,28,1,6,1,9,1,15,2,9,1,8,1,24,1,13,1,8,1,7,1,13,1,6,1,7,1,13,1,8,1,28,1,6,2,29,1,6,1,8,2,24,2,9,4,17,2,16,1,14,1,13,1,29,1,28,13,17,18,16,1,17,6,16,1,9,1,11,1,9,1,10,1,16,1,11,1,17,3,16,1,17,4,16,3,11,2,9,3,17,4,16,2,9,1,11,1,16,1,11,1,9,1,11,4,10,1,9,1,13,1,30,1,28,26,30,2,6,1,9,1,13,1,8,1,13,8,8,1,6,1,28,1,6,1,9,3,11,1,9,1,11,2,9,1,10,1,11,1,9,2,16,1,9,1,11,1,9,2,10,1,13,1,9,1,11,2,9,4,8,1,9,1,13,1,9,1,13,1,8,1,9,1,13,2,8,1,13,3,7,1,6,1,13,1,7,1,6,1,7,1,30,1,29,1,6,1,7,1,13,1,6,1,28,1,29,1,30,1,28,73,13,1,9,1,17,1,11,1,12,1,17,1,16,1,17,6,12,1,10,1,17,1,12,1,11,1,17,1,12,1,11,1,12,1,24,1,10,2,17,1,9,2,11,1,10,1,9,3,10,1,9,3,13,1,10,1,13,1,9,1,13,3,8,1,24,1,8,1,13,1,28,1,29,1,13,1,30,2,28,1,30,1,28,1,29,1,28,78,6,1,13,1,28,1,13,1,6,1,13,2,28,1,13,2,30,2,6,1,30,1,13,2,9,1,13,1,9,1,6,3,13,2,30,1,13,2,30,1,28,10,6,1,13,1,9,2,8,1,13,3,9,1,11,1,28,6,13,2,9,7,16,1,9,1,13,1,28,12,13,1,11,1,9,1,13,1,6,1,13,1,9,2,13,1,10,1,13,1,9,2,11,1,13,1,9,1,13,1,8,1,13,1,9,1,8,1,9,3,16,1,11,1,13,3,7,1,8,1,6,1,13,3,9,1,17,3,13,1,11,1,9,1,8,1,9,1,6,1,9,2,13,2,8,1,9,2,13,1,9,1,13,1,6,1,9,1,13,4,6,1,9,1,30,1,9,1,13,3,8,1,13,1,8,1,13,1,6,1,13,2,11,1,13,1,6,2,13,1,6,2,13,1,7,1,13,2,6,1,30,1,13,1,6,1,28,1,8,1,6,2,13,2,28,1,13,2,6,1,13,1,9,1,30,1,13,1,6,1,9,1,13,1,30,1,8,1,13,4,8,1,9,1,13,1,9,1,11,1,9,2,10,1,8,1,9,1,13,1,9,1,11,1,16,1,11,2,9,1,11,1,9,1,13,2,7,1,28,1,30,2,28,5,6,1,7,1,6,1,13,1,6,1,13,2,7,1,13,3,6,2,13,5,6,1,13,2,6,1,13,5,7,1,13,5,7,1,13,1,7,1,6,2,13,8,7,1,13,2,8,2,9,1,13,6,8,1,13,1,6,2,13,2,9,1,8,2,13,2,6,1,13,3,6,1,13,1,8,1,13,1,7,1,13,3,6,2,13,2,6,1,13,1,6,4,13,2,7,1,29,1,6,2,13,8,6,2,13,6,6,1,7,1,13,2,6,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,13,6,30,7,6,1,30,1,28,1,29,1,30,3,28,1,30,1,6,1,30,1,28,1,6,1,28,4,30,1,28,1,6,1,30,1,28,1,6,2,28,2,13,4,6,2,13,1,8,1,13,5,9,1,8,1,13,11,9,1,16,1,13,2,8,1,13,2,9,1,13,3,9,1,13,1,9,1,8,1,13,1,9,2,11,1,16,1,9,1,8,1,9,1,13,3,8,1,13,4,6,1,7,1,13,1,6,2,13,3,6,1,13,1,6,1,7,1,6,1,13,1,6,1,13,1,7,1,13,1,30,1,13,1,6,1,7,1,13,2,30,1,7,1,13,1,30,1,13,1,6,1,7,1,13,1,7,2,6,2,13,3,6,1,7,1,13,4,7,1,13,3,7,1,13,6,6,1,13,4,6,2,13,2,7,1,6,3,30,1,6,1,30,1,7,1,13,1,28,6,30,1,28,13,6,3,30,1,28,1,6,2,30,1,6,2,13,2,6,3,13,1,7,1,13,3,6,1,13,1,8,1,13,1,9,1,13,2,6,1,13,12,8,1,9,1,13,1,6,2,13,4,6,1,13,4,6,1,7,1,13,1,6,1,13,3,7,1,13,1,7,2,13,6,6,1,30,1,13,1,30,1,6,5,30,1,13,5,6,2,13,11,6,1,7,1,13,3,6,1,13,1,6,1,8,1,13,2,7,1,6,1,13,1,6,1,7,1,6,1,13,1,6,1,13,8,7,1,13,3,30,1,6,1,13,4,6,1,13,1,6,2,30,1,7,1,6,1,13,1,6,2,13,1,6,1,13,1,30,1,13,7,6,2,13,2,7,1,13,2,6,1,13,4,7,1,29,1,6,1,13,2,6,1,7,1,13,1,6,1,30,1,6,1,7,1,13,3,6,1,13,1,7,1,6,1,13,5,8,1,30,1,13,3,30,1,13,1,6,3,13,1,30,1,13,1,6,1,13,1,6,1,13,1,6,1,13,3,7,1,13,2,6,1,7,1,13,1,6,2,30,1,13,1,6,4,13,1,6,1,13,1,30,1,6,2,13,1,6,1,13,1,6,1,7,1,29,1,7,1,6,1,7,1,13,2,6,2,13,2,6,1,13,1,30,1,6,7,30,1,6,3,30,1,13,1,7,1,13,1,28,1,6,1,13,1,6,4,30,1,29,1,6,2,29,1,30,1,6,5,30,1,6,1,28,1,13,1,6,4,30,1,6,1,7,1,30,2,29,1,6,1,30,1,7,1,30,1,6,1,13,1,6,4,30,2,6,1,30,4,6,1,30,2,28,3,6,3,29,1,28,1,30,2,28,10,30,1,24,1,10,2,11,1,24,1,10,2,9,1,10,3,9,1,10,1,9,1,10,2,9,1,10,2,9,1,11,3,12,1,17,4,12,1,8,1,13,1,28,1,6,1,28,2,30,3,6,2,28,1,6,3,7,1,6,2,29,2,6,1,30,1,6,1,13,1,7,1,29,1,6,1,29,1,6,6,8,3,13,1,8,3,9,1,8,1,9,2,13,1,6,1,30,2,6,1,30,1,28,1,6,1,30,2,28,2,30,3,6,1,30,1,6,1,30,1,6,2,30,5,6,2,30,2,29,1,30,1,6,3,13,5,8,2,9,1,7,1,13,2,12,1,11,1,9,1,6,1,30,2,28,1,6,1,30,4,6,1,30,2,6,3,30,1,6,1,30,3,29,1,28,3,30,1,28,1,30,1,28,2,30,1,28,1,30,2,6,1,28,2,30,1,28,3,30,1,28,1,30,3,28,5,30,1,28,2,13,1,6,1,13,1,6,2,30,2,28,3,30,1,6,2,28,53,29,1,30,1,24,1,8,1,25,1,24,1,8,1,24,1,13,1,7,1,13,1,6,1,24,2,8,2,24,3,8,1,24,3,8,1,24,1,10,1,24,1,10,1,9,1,12,1,9,1,8,1,10,2,8,1,24,1,12,1,24,1,8,2,24,4,10,1,12,1,24,1,17,1,8,1,24,1,10,1,24,1,12,1,10,1,12,1,17,1,10,1,12,1,9,1,17,3,12,1,17,3,12,1,17,7,12,1,13,2,28,1,30,1,28,6,30,2,28,3,30,1,28,1,30,2,28,1,30,2,28,3,30,1,28,1,29,1,28,1,6,1,30,1,29,1,25,1,6,1,8,1,6,1,25,2,24,2,12,1,24,1,10,1,17,1,24,1,12,2,9,1,10,4,11,2,17,1,9,1,8,1,12,2,17,1,13,1,12,1,24,1,9,2,10,1,12,1,9,1,12,1,9,1,10,2,24,1,9,1,13,1,12,2,10,3,12,2,17,1,12,3,24,1,9,1,12,1,8,2,24,1,7,1,8,2,13,1,7,1,24,1,8,2,24,1,7,1,24,6,8,1,24,1,7,1,24,1,8,1,24,3,8,1,7,1,24,2,8,1,24,2,9,1,8,2,7,1,9,1,24,1,10,1,13,1,9,1,8,1,9,1,8,1,24,1,10,1,9,1,8,1,17,1,8,3,13,1,8,2,10,1,13,1,24,1,13,1,8,1,6,1,7,1,8,1,10,1,24,2,9,1,7,1,8,1,24,2,9,1,8,1,24,1,8,1,9,1,12,1,9,1,8,2,9,1,24,3,10,1,24,1,12,1,9,1,10,2,11,1,24,1,12,1,8,1,11,1,9,1,30,1,28,1,29,1,28,11,30,1,28,132,29,1,30,1,28,6,30,1,8,1,14,1,12,3,8,1,6,2,13,1,6,3,28,2,30,1,28,1,6,2,13,2,24,1,10,1,11,1,16,1,12,1,17,1,11,1,17,1,6,1,28,6,30,1,6,1,24,1,7,1,6,1,28,36,7,1,11,1,8,1,6,1,29,1,6,1,13,1,9,2,10,1,13,1,6,1,13,1,6,1,13,1,6,1,7,1,17,1,24,1,10,2,7,1,6,1,30,1,29,1,6,1,30,1,6,1,17,1,9,1,7,1,28,3,7,1,6,1,29,1,13,1,24,1,14,2,12,1,11,1,15,1,9,2,29,1,6,1,29,1,13,1,10,1,15,1,10,1,6,1,28,2,8,1,16,1,6,1,13,1,28,9,6,1,28,37,30,1,11,1,9,1,6,1,28,9,11,1,}, {28,7,30,1,29,1,28,1,6,1,28,4,30,2,29,1,28,1,30,2,6,2,28,1,6,1,30,2,29,1,28,2,7,1,6,1,13,2,30,1,6,1,13,1,6,1,9,1,13,1,7,1,13,1,29,1,13,1,8,1,13,1,9,1,11,1,12,2,17,2,11,2,14,1,13,1,30,1,29,1,28,6,30,2,6,1,12,1,17,1,9,1,6,1,28,4,6,1,10,1,17,2,9,1,13,1,8,2,29,1,6,1,30,1,28,5,8,1,9,1,8,1,13,1,6,1,29,1,30,5,28,2,29,1,28,33,6,1,29,1,28,18,29,1,28,5,30,1,28,5,6,1,8,1,17,1,8,2,29,1,28,3,8,1,17,3,11,1,9,2,17,1,12,1,17,1,10,2,12,1,17,3,16,2,9,2,8,1,9,1,10,1,16,1,29,1,28,29,30,1,28,3,13,1,6,1,29,1,30,1,7,1,8,1,17,1,9,1,13,1,6,1,29,1,28,1,30,1,13,1,9,1,10,1,14,1,12,1,13,1,8,1,9,1,13,1,6,1,7,1,6,1,8,1,6,1,30,1,7,1,6,1,7,1,6,2,8,2,13,1,8,2,13,1,8,1,10,1,9,1,11,1,16,1,14,1,13,1,28,14,17,16,16,1,17,2,16,2,17,3,16,2,13,1,9,1,11,1,9,1,16,3,9,1,16,2,17,2,16,1,17,2,16,1,9,2,11,1,8,1,11,2,16,3,17,1,16,1,17,1,11,2,16,1,10,1,11,3,8,1,9,1,13,1,28,1,30,1,28,24,6,1,13,3,9,1,8,1,13,6,6,2,13,1,7,1,13,2,30,1,28,1,9,1,11,1,9,1,10,1,11,2,13,1,9,1,11,1,9,1,11,1,16,1,9,1,10,1,11,1,9,1,11,1,9,1,11,1,9,1,16,1,9,3,11,1,12,1,11,1,9,2,8,1,9,3,8,1,13,5,9,1,6,1,7,1,29,1,13,1,6,2,29,1,13,1,6,2,28,1,6,1,28,2,30,1,28,71,13,1,17,6,12,1,17,1,16,1,17,2,10,1,16,1,17,1,9,1,12,1,11,1,12,1,11,1,10,1,9,1,10,1,17,1,10,1,12,4,11,1,9,1,10,2,9,1,10,1,9,4,13,1,8,1,29,1,9,1,29,1,8,1,13,1,24,1,6,1,13,2,7,1,6,2,28,84,13,2,6,2,13,1,6,2,28,1,13,1,6,1,30,1,6,2,13,9,6,1,13,2,30,1,13,1,6,1,28,11,13,2,9,1,13,2,9,1,13,1,9,2,28,6,13,1,9,2,13,1,9,6,13,2,6,1,28,11,7,1,13,1,9,2,13,2,9,2,13,1,11,1,9,3,8,2,9,1,8,1,13,1,11,1,9,1,11,1,10,1,9,1,8,1,16,1,9,2,10,1,8,1,9,1,13,1,9,1,30,1,13,3,17,3,9,3,10,1,13,2,8,1,9,1,13,1,8,1,13,1,9,1,13,1,9,1,11,1,9,2,13,5,8,1,6,1,9,1,13,2,8,1,13,2,28,1,30,1,6,1,7,1,6,2,28,1,13,2,6,4,13,2,6,1,8,1,6,1,13,1,30,1,6,1,13,1,7,1,13,2,6,1,13,6,6,1,13,2,30,1,9,1,11,1,9,1,13,1,8,1,13,3,6,1,8,1,9,1,13,1,8,2,9,1,11,3,16,1,11,1,16,1,11,1,9,1,8,1,9,1,13,1,28,1,30,1,28,6,13,8,7,1,6,1,13,1,7,1,13,2,6,2,13,1,6,1,13,1,6,1,13,4,6,1,13,6,7,1,13,10,7,1,13,2,7,1,13,1,7,1,9,1,13,1,8,1,13,1,9,1,8,1,13,1,9,1,8,1,13,1,9,1,8,1,9,1,13,1,6,1,13,6,8,2,13,2,6,1,13,4,30,2,13,1,6,1,13,7,6,1,13,1,6,1,13,2,6,1,13,7,6,1,13,1,6,1,13,1,6,1,13,4,6,2,30,1,6,1,13,1,6,3,29,1,6,3,13,1,6,1,13,1,28,1,13,1,28,1,6,3,29,1,6,3,30,5,28,2,30,2,6,1,7,1,30,1,13,1,6,1,29,1,13,1,6,2,13,2,6,1,13,1,7,1,29,1,6,1,7,1,13,2,8,1,13,4,9,2,13,1,9,1,13,1,9,1,13,1,9,2,13,5,8,1,13,12,9,2,13,7,6,1,9,1,8,1,13,1,9,1,13,1,9,1,13,1,8,1,9,2,8,1,9,2,13,1,9,1,13,3,6,1,13,1,7,1,13,1,30,1,6,1,13,1,6,1,13,1,30,1,13,1,7,1,6,3,30,1,6,1,30,1,13,1,30,1,13,2,6,2,13,2,28,1,6,1,13,1,30,1,13,1,6,1,7,1,13,1,6,1,7,1,13,1,6,1,13,2,6,2,7,1,6,2,29,1,6,1,7,1,30,2,7,1,6,1,13,1,30,1,7,1,6,7,30,1,6,1,30,3,13,1,29,1,6,7,13,4,6,1,13,1,6,2,30,2,13,5,6,2,30,1,6,2,28,1,13,1,28,3,30,1,28,2,30,1,28,2,30,2,28,2,30,1,28,5,30,1,28,5,13,2,7,1,6,3,30,1,7,1,13,4,30,1,13,2,9,1,13,1,6,2,13,2,6,1,13,6,6,1,13,1,6,1,7,1,13,1,6,1,13,3,6,3,13,1,6,1,13,4,6,1,13,1,29,1,13,1,6,3,30,1,6,1,30,2,7,1,30,1,29,1,6,2,13,1,6,2,13,2,6,1,13,3,6,1,13,2,6,1,7,1,13,3,7,1,13,6,6,1,13,1,6,3,13,2,6,2,13,16,6,1,13,1,6,1,13,2,30,1,13,1,6,2,7,1,6,1,13,1,7,1,13,1,7,1,13,1,6,1,13,1,7,2,8,1,13,10,6,1,13,1,6,1,13,1,6,1,13,1,7,1,13,1,6,2,13,3,7,2,13,2,6,1,13,1,7,1,13,1,6,1,13,6,7,1,13,3,6,1,13,2,7,1,6,3,7,1,6,1,7,1,30,2,6,1,30,1,13,3,7,1,6,2,13,2,30,1,6,3,30,2,6,3,30,1,13,1,6,1,30,1,13,1,6,3,30,1,6,1,7,1,6,2,30,1,6,1,30,1,6,3,13,1,6,2,30,1,6,1,30,1,6,1,30,1,13,1,6,1,28,1,7,1,6,1,28,1,6,2,30,1,6,3,30,1,6,2,13,1,6,2,29,1,6,3,30,1,6,4,7,1,13,1,6,5,13,2,6,2,13,1,6,1,30,1,13,2,6,2,13,1,6,2,7,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,30,2,6,1,30,2,28,3,6,1,30,1,29,1,6,1,29,1,6,1,7,1,6,1,29,1,28,8,30,1,13,1,8,1,9,1,11,1,9,7,11,1,9,5,12,1,11,1,10,1,12,1,9,1,11,1,12,1,17,9,12,1,9,1,13,3,6,3,7,1,29,1,13,3,8,1,6,2,30,2,29,1,28,2,30,1,6,1,30,1,6,1,29,2,6,1,8,3,12,2,9,1,13,1,7,1,9,1,13,1,30,1,28,1,30,1,6,2,30,2,29,2,30,2,28,1,30,7,6,1,30,7,29,1,6,1,30,1,6,1,29,1,6,3,7,1,13,4,8,5,13,2,8,1,11,1,16,1,13,1,28,1,30,1,28,2,30,1,28,3,30,1,6,5,13,1,30,2,28,3,30,1,28,2,30,2,28,1,30,2,28,2,30,1,28,1,30,1,28,8,30,1,28,1,30,4,28,2,30,2,28,1,13,2,6,2,28,4,6,1,30,1,28,2,30,1,28,1,7,1,28,51,6,1,30,1,6,1,8,2,25,1,8,1,7,1,8,1,24,5,8,1,24,4,12,1,24,2,8,1,24,1,8,1,24,1,8,1,9,1,24,1,12,1,8,1,10,1,9,1,12,1,10,1,9,1,24,1,8,1,12,1,13,1,24,1,10,2,8,1,12,1,24,1,12,2,10,1,12,2,24,1,10,1,17,1,9,1,12,2,8,1,17,3,12,1,17,1,10,1,17,1,12,3,17,8,11,1,8,1,28,3,30,1,28,12,30,2,28,3,29,1,28,1,29,1,6,1,30,1,29,1,6,1,28,1,29,1,6,3,8,1,26,1,24,2,8,1,9,1,17,1,12,1,10,1,8,1,10,1,12,2,10,2,12,2,17,1,12,1,9,1,17,1,24,1,8,1,17,1,10,1,12,1,10,1,12,1,10,1,12,1,9,1,10,1,12,1,10,1,24,1,12,1,24,1,17,1,12,1,9,1,10,2,9,1,24,1,9,1,17,3,12,1,17,1,9,1,17,1,8,1,12,1,8,2,7,1,8,2,24,2,8,1,13,1,24,2,13,1,24,1,7,1,8,2,24,1,13,1,8,1,24,3,10,1,24,3,12,1,24,1,10,1,7,2,9,1,8,1,10,1,24,1,8,1,12,1,8,1,13,2,8,2,24,1,10,1,24,1,9,2,12,1,13,1,24,1,13,1,24,1,13,1,24,1,13,1,12,1,24,1,12,1,10,1,9,1,8,2,24,1,13,1,8,1,24,1,13,1,24,1,9,1,8,4,12,1,24,1,10,1,9,1,24,1,9,2,24,2,12,1,24,1,9,1,12,1,8,1,12,1,10,2,8,1,12,1,11,1,9,2,24,1,6,1,29,1,28,1,30,3,28,2,30,1,28,139,29,1,28,7,6,1,24,1,16,1,14,1,16,1,12,1,13,1,9,1,7,1,6,3,28,1,29,1,30,2,28,1,6,2,13,2,24,1,8,2,16,1,12,1,16,1,11,2,13,1,28,6,30,1,13,1,9,1,24,1,30,1,29,1,28,35,13,1,9,1,8,1,13,1,29,1,30,1,24,1,10,1,11,1,24,1,13,2,30,1,6,1,13,1,8,1,13,1,24,1,9,1,24,1,9,2,28,1,29,1,30,1,29,1,30,1,13,1,9,1,11,1,30,3,29,1,6,1,29,1,7,1,24,2,12,1,14,1,17,1,16,1,9,1,10,1,7,1,6,3,7,1,10,1,15,2,6,1,28,1,30,1,29,1,16,1,9,1,6,1,28,47,8,1,24,2,28,9,6,2,}, {28,4,30,1,28,7,6,2,30,1,28,1,6,1,28,1,30,1,6,4,28,1,29,1,28,1,29,2,30,1,28,3,13,1,6,1,29,1,6,1,13,2,8,1,6,1,29,1,13,1,6,1,8,1,13,2,24,1,17,5,10,1,12,1,17,1,8,1,29,1,6,1,28,3,30,1,28,2,29,2,7,1,17,2,9,1,28,4,7,2,10,1,17,1,16,2,8,1,13,1,8,1,13,2,30,2,28,3,30,1,11,1,12,1,9,1,6,1,30,1,28,1,29,1,30,1,28,36,30,3,28,13,30,1,28,15,30,1,6,1,8,1,9,1,13,1,7,1,28,4,30,2,13,1,17,4,9,2,8,1,9,1,17,1,10,1,17,3,11,1,17,1,16,1,11,1,8,1,9,3,14,1,11,1,7,1,28,34,6,2,29,1,8,1,24,1,15,1,24,1,7,2,29,1,28,2,6,1,9,1,12,1,8,1,14,1,13,6,24,1,6,1,29,1,7,1,13,1,30,1,29,2,6,2,13,1,8,1,9,1,8,2,15,1,11,1,16,1,17,2,14,1,8,1,30,1,6,1,28,12,17,12,16,1,17,1,11,1,16,3,17,1,16,2,17,3,16,1,11,1,9,1,11,1,9,1,11,1,9,1,13,1,11,2,16,1,11,1,16,2,17,1,16,2,9,3,16,1,9,1,16,3,17,1,16,2,11,1,9,1,16,1,9,1,11,1,16,1,9,1,11,1,9,1,11,1,13,1,28,22,30,1,28,1,6,2,13,10,7,1,13,2,6,1,30,1,6,3,28,2,13,1,9,1,11,4,16,1,11,1,9,1,11,1,10,1,9,2,11,1,10,1,11,1,9,3,16,1,11,2,9,2,11,1,9,2,11,1,8,1,9,2,8,1,13,1,8,1,13,1,9,1,7,1,13,1,8,1,7,3,6,1,7,2,29,1,7,1,13,1,6,3,30,3,28,70,30,1,13,1,17,2,10,1,17,1,16,1,17,6,16,1,11,1,17,1,12,1,16,1,11,1,17,1,11,1,12,3,10,3,11,1,9,2,12,1,9,1,11,1,9,1,10,1,8,1,9,2,13,1,9,1,7,1,13,1,9,1,13,1,7,1,10,1,9,1,6,2,8,1,6,4,28,1,30,1,28,1,30,1,28,70,30,1,28,10,13,2,6,1,7,1,6,1,13,1,30,1,6,2,30,1,6,1,28,1,7,1,13,1,9,1,13,11,6,1,30,1,13,2,28,10,30,1,9,3,13,2,9,1,16,1,9,1,28,6,9,1,13,1,10,1,9,3,11,1,9,1,11,1,9,2,13,2,28,11,13,1,11,1,8,1,9,2,13,2,9,2,10,1,13,1,9,1,13,1,9,3,8,1,10,1,9,2,11,1,9,1,11,3,10,1,11,1,9,3,13,4,11,1,9,1,17,2,16,1,13,1,9,1,13,1,9,1,7,1,13,3,8,1,9,1,8,1,13,1,9,1,13,1,8,1,13,1,8,2,9,1,13,1,6,1,13,2,6,1,13,2,6,1,30,1,6,2,30,1,6,1,30,2,13,1,6,3,13,3,6,2,13,1,9,1,13,2,6,1,30,1,13,1,6,1,13,2,6,1,13,2,6,2,30,1,13,1,9,1,13,2,9,1,13,1,8,1,13,5,9,1,13,4,9,1,11,1,9,1,13,1,16,1,9,1,16,1,11,1,9,2,8,1,9,1,16,1,13,1,9,1,13,1,6,1,28,4,6,1,29,1,7,1,6,6,13,1,7,1,13,3,7,1,13,1,6,1,13,2,6,1,13,2,6,1,13,1,6,1,13,3,6,1,13,13,8,1,13,7,6,1,13,4,8,1,9,2,13,2,9,2,13,1,9,1,13,1,9,1,13,1,7,1,8,1,9,1,8,2,9,2,13,2,6,1,13,9,6,1,7,1,13,1,6,1,7,1,13,4,6,2,13,2,6,1,29,1,30,1,6,1,30,1,6,4,7,1,30,1,6,1,30,1,28,1,30,4,28,3,30,4,28,1,30,2,28,1,6,2,28,1,6,1,28,1,30,1,6,1,29,1,9,1,6,1,9,1,13,1,6,2,13,2,9,1,11,1,8,1,9,2,13,1,9,1,13,1,10,1,11,1,9,1,17,1,10,1,11,1,9,1,13,2,9,1,11,1,9,1,13,1,8,1,9,3,13,1,8,1,13,3,8,1,13,5,9,1,13,6,9,1,13,2,9,1,13,8,16,1,13,9,8,1,13,2,8,1,13,1,9,4,13,1,9,1,8,1,9,1,13,8,6,2,13,1,6,1,13,1,30,1,13,1,6,1,13,1,6,1,30,1,6,3,13,1,6,3,30,1,13,2,6,3,13,1,6,3,13,2,29,1,13,1,6,1,13,1,6,1,7,2,6,5,29,1,6,1,30,1,7,1,30,2,6,1,30,1,6,2,30,1,29,1,6,1,30,1,6,2,30,1,6,3,29,1,13,1,30,1,6,2,30,1,13,1,30,1,6,1,29,1,30,1,6,2,30,1,6,3,13,1,6,1,7,1,6,2,13,2,6,1,13,7,9,1,13,6,6,1,13,2,6,2,13,1,28,1,30,1,28,25,30,1,28,4,30,4,28,1,30,1,6,1,30,2,6,2,13,1,30,1,13,1,6,3,30,1,6,1,30,1,6,1,30,1,6,1,13,1,6,1,30,1,6,2,28,1,13,1,6,1,29,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,13,1,6,2,13,1,7,1,13,3,7,1,13,1,6,1,13,1,7,1,6,1,13,1,6,1,13,2,29,1,13,4,7,1,13,8,7,1,13,2,6,1,13,1,6,1,13,2,6,1,13,12,6,2,13,1,6,2,13,1,6,2,13,1,6,1,7,1,13,5,6,1,13,6,6,1,13,3,7,1,13,2,6,1,13,4,6,1,13,1,7,2,13,1,7,1,13,2,6,2,13,1,6,2,13,5,6,1,13,2,6,1,13,5,6,1,13,1,30,1,13,3,7,1,13,1,6,1,30,1,7,1,13,1,7,1,13,2,6,1,30,1,6,1,13,1,6,1,30,1,13,1,6,3,7,1,13,1,6,6,13,1,6,1,30,1,13,1,6,1,7,1,6,1,13,1,30,1,6,2,13,1,6,2,13,1,6,1,13,2,30,1,6,11,30,1,6,1,7,1,29,1,6,1,13,1,6,4,29,1,30,1,29,1,6,2,29,1,6,5,30,1,6,1,29,1,6,3,13,1,6,3,7,2,6,1,13,1,6,5,13,1,6,3,30,1,6,1,7,1,30,1,6,1,28,1,30,4,6,1,30,1,6,2,30,1,28,4,6,3,30,1,13,1,30,1,6,2,13,1,28,8,29,1,8,2,12,1,8,1,13,2,10,1,9,2,11,1,9,4,10,1,9,2,10,1,9,1,10,1,11,1,10,1,11,1,17,18,12,1,24,1,13,1,30,1,29,2,28,1,30,1,29,1,28,1,6,2,28,1,29,1,6,1,29,1,13,3,7,2,30,2,28,1,29,1,13,1,7,1,30,1,6,2,30,12,6,1,30,12,28,1,30,4,6,6,13,1,7,1,9,1,8,3,9,1,13,2,6,1,13,1,9,2,13,1,30,1,28,1,6,1,28,1,30,1,28,1,30,1,6,1,30,1,6,3,13,1,28,1,30,3,28,1,30,1,28,1,30,1,28,1,30,2,28,2,30,1,29,1,28,2,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,4,30,1,28,2,30,3,28,1,30,3,13,2,6,3,28,3,30,2,28,1,30,1,28,1,6,1,7,1,28,50,29,1,28,1,7,2,8,2,24,1,25,1,8,1,24,1,6,1,10,1,13,1,8,1,24,1,8,3,24,1,8,2,7,1,13,2,12,1,13,1,10,1,24,3,9,1,12,1,24,2,8,1,13,1,9,1,12,1,24,4,13,1,8,1,24,2,17,1,10,1,24,1,12,1,10,1,12,1,10,1,24,1,10,1,12,1,24,1,10,1,8,1,17,1,9,1,12,1,17,1,12,6,17,1,12,1,17,1,12,1,17,6,11,1,8,1,30,1,28,3,30,1,28,4,30,2,28,1,6,1,28,3,30,2,28,2,6,1,28,2,30,2,29,1,30,1,29,1,28,1,30,1,6,1,26,1,8,1,25,1,8,1,10,3,12,1,17,1,10,1,24,1,10,1,13,1,12,1,24,1,12,4,24,1,12,3,8,2,12,1,9,1,24,2,8,1,9,1,10,3,24,1,12,1,9,1,10,1,12,1,17,1,12,4,17,3,12,1,9,1,12,1,11,1,10,1,24,1,10,1,7,1,24,1,6,1,8,1,7,1,13,1,8,1,13,1,8,1,9,1,6,1,8,1,24,2,8,1,12,1,13,2,24,1,8,3,24,1,8,2,6,1,24,1,8,1,13,1,10,1,24,1,13,1,12,1,9,1,24,1,12,1,24,1,12,1,24,2,8,1,24,1,9,1,24,1,10,1,24,1,10,2,12,1,8,1,17,1,9,1,24,1,10,1,13,1,17,1,9,1,24,1,9,1,8,3,24,1,10,1,13,1,12,1,8,2,13,1,8,4,24,1,9,2,24,2,12,1,24,1,10,1,12,1,8,1,10,1,9,1,12,1,9,1,24,1,11,1,12,1,17,1,9,1,11,1,9,1,13,1,28,1,6,1,28,1,6,2,28,146,30,1,28,6,11,1,17,2,10,1,12,1,10,1,13,1,8,1,13,1,6,1,7,1,6,2,28,1,30,1,28,2,6,1,13,1,7,1,9,1,8,1,16,1,12,1,17,2,16,1,11,1,6,1,28,6,30,1,6,1,13,1,10,1,29,1,30,1,28,35,12,1,10,1,24,1,6,1,29,1,6,1,8,1,12,2,8,1,24,1,29,2,6,1,13,2,8,1,9,1,17,1,9,1,24,1,8,1,6,1,30,1,6,2,30,1,13,1,9,2,7,1,28,1,30,1,28,1,29,1,13,1,30,1,13,1,8,1,24,1,12,1,17,1,11,1,9,1,8,2,7,1,30,1,29,1,13,1,15,1,14,1,9,1,29,1,28,1,30,1,13,1,9,2,29,1,28,7,30,2,28,37,30,1,8,1,17,1,9,1,28,10,6,1,}, {28,1,13,1,28,2,30,1,28,2,30,1,29,1,30,1,6,3,30,1,28,2,30,1,28,1,30,1,28,4,29,1,30,1,28,1,30,1,28,1,6,2,29,2,7,1,6,1,29,2,6,1,13,1,9,1,13,1,8,1,9,1,8,1,24,2,8,1,9,1,10,1,17,4,16,1,24,1,16,1,10,1,6,1,28,2,30,1,28,4,6,2,8,1,12,1,17,1,9,1,29,1,30,1,28,3,8,2,17,1,11,1,9,1,13,2,8,1,6,2,28,5,6,1,24,1,8,1,13,1,30,1,28,3,30,1,28,36,29,1,28,31,30,1,6,1,28,8,8,1,9,1,12,1,17,3,9,1,17,1,9,1,8,2,24,1,13,1,12,1,11,1,17,4,12,1,9,1,13,1,6,1,10,1,14,1,15,1,7,1,28,26,30,1,28,3,30,1,28,1,6,1,30,1,7,2,8,1,13,1,8,1,12,2,24,1,7,1,6,1,29,3,12,1,9,2,15,1,13,1,24,1,13,1,8,1,7,1,13,1,28,1,6,2,30,1,6,1,8,1,30,1,29,1,30,1,13,2,24,2,10,1,8,1,9,1,10,1,16,1,11,1,17,1,14,1,8,1,6,1,28,1,30,1,28,11,17,10,16,2,17,1,16,1,11,1,16,2,9,1,16,1,17,5,16,1,11,1,9,2,13,1,9,2,13,1,9,1,13,1,11,1,10,1,16,1,17,1,16,3,11,3,9,1,10,1,17,2,16,2,11,1,16,1,11,4,16,1,11,1,9,1,8,1,13,1,28,22,6,1,13,12,6,1,13,1,30,1,6,2,30,2,6,1,28,4,30,1,11,3,10,1,9,1,11,2,9,1,11,1,10,1,9,1,11,1,9,1,10,1,11,1,9,1,11,1,9,2,8,1,9,1,11,1,9,1,10,1,16,1,9,2,8,1,9,3,13,1,8,1,13,1,8,2,29,1,13,2,7,1,13,1,29,1,7,2,6,1,29,1,6,1,30,1,29,1,6,1,28,73,6,1,11,1,10,1,17,4,11,1,17,6,11,1,16,2,11,1,17,1,10,1,12,2,10,2,12,1,10,1,11,1,10,2,11,1,9,2,8,1,13,1,8,1,10,1,8,1,9,3,8,1,11,1,9,1,7,1,13,1,8,1,29,1,8,1,13,3,7,1,13,2,30,1,6,1,29,1,30,2,28,70,6,1,30,1,28,8,6,1,13,1,6,2,13,2,6,1,28,1,6,1,30,1,13,1,30,1,6,1,9,1,13,3,9,1,13,11,30,1,6,1,30,1,28,9,6,1,11,1,13,2,9,1,13,3,30,1,28,6,13,2,9,5,13,1,9,2,11,1,13,1,6,1,28,11,6,1,13,1,9,1,11,1,9,1,13,3,9,5,10,1,9,3,8,1,9,6,11,1,10,1,11,1,9,1,13,4,9,2,8,1,13,1,17,3,9,1,13,1,9,1,13,1,8,1,13,1,8,1,9,1,8,1,13,1,7,1,9,2,13,4,6,1,9,1,13,1,6,1,30,1,7,1,9,1,13,1,30,1,6,1,30,1,13,2,30,2,28,1,13,1,6,1,13,4,6,1,7,1,30,1,13,1,6,1,9,1,13,1,6,1,13,2,6,2,30,1,6,1,13,1,7,1,13,3,6,4,13,1,6,1,8,1,9,2,13,1,9,1,13,1,9,1,13,1,6,1,13,1,9,2,13,1,11,1,9,1,16,2,11,1,9,1,11,1,9,1,13,2,6,2,28,4,6,2,13,2,7,1,13,7,6,1,13,1,6,1,13,2,6,1,7,2,13,1,6,2,13,3,6,1,13,16,6,1,13,1,6,1,13,4,29,1,13,5,8,1,13,2,9,3,11,1,9,1,11,1,9,3,8,1,13,8,9,1,13,1,9,1,13,1,9,1,13,3,6,3,13,2,6,1,29,2,6,1,28,1,30,2,6,1,28,1,30,1,28,1,30,3,28,1,30,1,28,2,30,1,29,1,30,1,28,2,30,1,29,1,28,1,30,2,6,1,28,1,30,1,28,1,30,1,28,1,30,1,6,2,30,1,13,1,6,1,13,3,7,1,13,1,6,1,13,4,9,1,13,1,9,4,10,1,9,1,17,1,16,1,8,1,9,1,8,4,9,1,13,1,8,1,9,3,10,1,9,3,11,1,9,1,10,2,11,2,10,1,9,2,16,1,13,1,11,1,9,2,10,1,11,1,9,1,8,1,9,1,13,1,8,1,9,2,13,13,11,1,9,1,13,7,6,1,13,1,8,1,13,1,9,1,8,1,13,4,8,1,13,1,8,1,13,1,6,1,13,4,6,1,13,1,30,1,13,2,6,1,13,1,6,1,13,1,6,1,13,1,6,2,30,1,6,2,30,1,6,1,13,1,6,2,13,1,30,1,6,1,30,3,6,1,30,1,6,1,29,1,30,2,29,2,30,2,6,2,30,2,7,1,6,1,30,1,6,3,13,1,29,1,6,1,30,5,29,1,6,1,7,1,6,2,13,1,6,3,13,1,6,4,30,1,6,2,30,1,6,2,30,4,6,3,30,1,13,1,6,2,13,1,6,1,13,7,30,1,6,1,8,1,13,3,8,1,13,3,6,1,13,2,6,1,8,1,13,2,7,1,13,2,30,1,13,1,30,1,13,1,6,2,30,1,28,3,30,1,28,37,13,1,28,8,30,1,28,4,30,2,28,2,30,1,28,1,6,1,28,1,6,1,30,2,7,1,6,2,13,1,7,2,6,1,13,1,7,2,6,1,13,2,6,1,13,1,6,1,13,5,7,1,13,1,6,1,13,1,6,1,13,2,6,1,13,1,6,1,7,2,13,6,7,1,13,1,9,1,8,1,13,6,6,3,13,2,9,1,13,3,6,1,7,1,6,1,29,1,7,1,13,1,7,1,6,1,13,7,6,1,13,6,6,1,30,1,13,2,6,1,7,1,30,1,13,1,30,2,6,2,29,1,6,1,7,1,30,1,6,1,13,1,30,1,13,4,6,1,13,1,8,1,6,2,13,2,6,1,13,4,6,2,13,2,7,1,6,1,13,1,6,1,13,1,8,1,13,2,6,1,13,2,6,1,13,1,30,1,13,1,6,1,13,1,7,1,13,1,6,1,13,1,6,4,13,1,30,1,6,1,30,1,6,1,30,1,6,1,13,1,29,1,13,1,7,2,6,1,7,1,6,1,13,1,7,1,6,2,13,1,30,1,13,1,6,2,13,1,30,1,7,1,6,3,28,1,6,2,28,1,13,1,6,1,13,1,30,1,6,4,7,1,30,1,6,4,13,1,30,1,6,1,7,1,30,1,6,5,7,1,6,1,7,1,30,1,7,1,30,2,6,1,30,1,13,1,6,2,30,1,6,2,13,2,6,2,13,2,29,1,30,3,6,1,30,1,13,1,6,1,7,1,29,1,28,5,6,1,7,1,29,1,13,2,29,1,6,1,7,1,6,1,30,1,28,7,30,1,13,1,9,1,8,1,13,3,9,1,10,1,11,2,10,1,11,1,9,1,8,1,24,1,9,1,24,2,10,1,11,4,17,3,12,1,17,14,9,1,13,1,6,1,28,2,13,1,6,1,28,1,13,1,8,2,13,1,8,1,13,1,8,1,13,4,6,1,7,1,6,3,29,1,13,1,6,4,30,8,28,2,30,3,28,1,30,11,6,2,30,2,6,4,13,3,9,2,8,2,10,1,9,2,8,1,9,1,13,1,9,2,13,1,6,1,28,1,30,5,6,1,30,1,6,1,28,1,29,1,7,1,28,1,30,3,6,1,30,4,28,2,30,2,28,1,30,2,28,2,30,1,28,2,30,3,28,1,30,2,28,2,30,1,6,1,28,1,30,5,13,1,6,1,13,2,28,3,30,1,28,1,30,1,28,2,30,2,13,1,28,51,30,1,28,1,26,1,6,1,25,1,24,1,25,1,24,1,6,1,7,1,10,1,24,1,8,1,24,1,8,1,10,1,24,1,8,1,13,1,7,1,24,1,8,1,24,1,7,1,24,1,10,2,24,1,13,1,24,1,12,1,24,1,12,1,8,1,17,1,9,1,24,1,12,1,10,1,8,1,24,2,12,1,24,3,8,2,12,2,24,3,10,1,17,1,9,1,10,1,24,1,12,1,8,1,12,4,17,1,12,2,17,1,12,2,9,1,17,2,12,1,17,3,12,1,17,2,9,1,29,1,28,2,30,1,28,4,30,1,28,1,30,1,28,1,30,3,28,3,29,1,28,1,30,2,28,1,7,1,30,2,28,1,25,1,6,1,25,1,30,1,6,2,7,1,10,1,24,2,12,1,8,1,24,1,12,1,10,1,12,4,17,1,9,1,12,1,10,1,24,1,13,1,17,1,12,2,10,1,9,1,24,1,17,1,24,2,17,1,9,1,12,1,10,1,9,1,12,1,7,1,17,1,12,1,9,1,12,1,10,1,11,1,17,4,12,1,9,2,8,1,17,1,24,1,8,1,24,1,7,1,8,4,24,1,13,1,7,2,24,2,10,1,8,1,12,1,8,1,10,1,7,2,8,1,24,2,9,1,24,1,8,2,10,1,8,1,13,1,24,1,8,1,24,1,6,1,24,2,10,1,9,1,24,3,12,1,10,1,9,1,24,1,9,1,24,1,8,1,17,1,8,1,10,1,24,3,10,1,13,1,10,1,13,1,10,1,7,1,10,2,8,1,10,1,24,1,8,1,10,1,8,2,12,2,10,1,8,1,10,1,12,1,8,1,12,2,24,1,8,1,12,3,10,1,9,1,12,1,10,1,11,1,10,1,11,2,10,1,12,1,8,1,7,1,29,1,30,1,28,5,30,1,28,142,30,1,28,6,29,1,8,1,14,1,12,1,11,1,9,3,24,2,13,2,6,1,30,2,28,1,30,2,6,2,13,2,9,2,17,1,12,1,17,2,11,1,13,1,28,6,30,1,8,1,17,1,13,2,29,1,28,35,7,1,10,1,13,1,6,1,28,1,30,1,24,1,11,1,10,1,24,1,9,1,30,1,6,1,29,1,6,2,13,1,10,1,12,1,11,1,17,1,13,1,30,1,29,1,6,1,28,1,7,1,8,1,17,1,9,1,6,1,28,3,29,1,6,2,8,1,9,2,17,1,12,4,9,1,29,1,7,1,30,1,6,1,17,1,12,1,13,1,29,1,28,2,13,1,11,1,24,1,28,6,30,1,28,15,30,1,28,25,9,1,17,1,9,1,6,1,28,8,29,1,6,1,}, {28,6,30,1,28,1,6,1,28,1,13,2,29,2,28,2,30,1,28,3,30,1,28,2,7,1,29,1,6,1,29,1,6,1,29,1,30,1,29,2,30,2,6,3,24,1,8,1,13,2,8,1,13,1,9,1,12,1,11,1,9,1,11,2,16,1,17,1,12,1,9,1,11,1,10,1,24,1,13,1,28,5,30,1,28,2,6,1,8,1,17,2,8,1,29,1,6,1,30,1,29,1,6,1,9,1,11,1,12,1,11,1,9,1,13,1,7,1,6,1,29,1,28,1,30,1,28,3,6,2,8,1,12,1,7,1,30,1,28,1,30,1,28,3,30,1,28,29,30,1,28,2,29,1,28,14,30,1,28,1,30,1,28,24,30,1,9,1,10,2,9,1,17,4,10,1,8,1,9,1,10,1,13,1,12,2,11,1,10,1,17,3,11,1,7,1,9,1,6,1,8,1,14,1,9,1,8,1,30,1,28,1,30,1,28,1,30,1,28,26,30,1,29,1,8,1,7,1,13,1,8,2,12,3,24,1,6,1,30,1,29,2,6,1,10,1,24,1,10,1,9,1,24,1,8,1,13,1,8,1,13,1,29,1,28,1,30,1,29,1,7,1,6,1,29,1,30,1,6,1,7,1,13,1,8,1,13,1,8,2,24,1,11,2,16,1,17,2,14,1,6,2,28,12,30,1,11,1,17,11,16,4,11,1,16,3,17,1,16,1,17,1,16,1,11,1,9,2,16,2,7,1,30,1,13,2,9,1,11,1,16,2,17,1,10,1,9,1,11,1,9,1,8,1,11,1,16,1,11,1,16,1,17,2,11,3,16,2,11,2,9,1,11,1,7,1,28,17,6,1,30,2,6,1,13,1,6,2,8,1,13,2,9,2,13,3,6,1,13,2,6,1,28,1,13,1,6,1,30,1,28,9,13,1,16,1,9,1,11,1,9,1,11,3,9,1,11,1,9,2,11,1,9,2,11,1,9,1,10,1,9,1,16,2,9,2,11,1,8,1,11,1,8,1,10,1,9,1,13,2,8,2,13,3,6,3,13,1,29,1,6,1,29,1,6,1,13,2,6,1,7,1,30,1,29,1,28,1,29,1,30,1,28,69,29,1,8,1,10,1,17,10,16,2,11,1,17,2,11,1,17,1,16,1,10,1,11,1,10,1,12,1,17,1,9,1,10,1,8,1,9,1,12,1,8,1,24,1,8,1,9,1,24,1,9,1,8,1,9,1,13,1,8,1,9,1,13,1,7,1,13,1,6,1,13,1,8,1,6,1,8,1,13,1,30,1,6,3,30,1,29,1,6,1,28,72,30,2,28,8,30,1,6,1,13,1,6,3,13,1,28,2,6,1,30,1,6,1,13,3,8,1,13,3,9,1,6,2,13,3,6,1,13,1,6,3,30,1,13,2,28,9,6,1,13,1,9,2,13,1,9,1,13,1,9,2,28,6,13,3,11,1,13,1,8,1,13,1,9,3,16,1,9,1,13,1,6,1,28,8,6,1,28,1,30,1,13,2,17,1,9,1,13,2,9,3,11,4,9,1,11,1,9,1,11,1,9,2,13,1,11,2,8,1,13,1,17,1,9,1,11,1,9,1,8,1,13,1,8,1,13,1,8,1,9,1,13,1,16,1,17,1,16,1,9,1,13,2,9,1,13,3,9,2,13,4,8,1,13,1,8,1,6,1,13,3,9,1,13,1,8,1,13,2,6,1,13,3,6,1,30,1,13,5,6,1,7,1,6,1,13,1,6,1,30,1,6,1,13,4,28,1,6,1,13,4,6,1,13,1,6,1,13,1,28,1,29,1,13,1,6,3,9,1,13,2,9,1,13,1,9,1,13,3,9,2,8,1,11,1,16,1,11,2,9,1,16,1,8,1,9,2,13,1,6,1,28,7,13,3,6,2,13,2,6,1,13,1,7,1,13,6,6,1,13,4,7,1,13,3,6,1,13,4,7,1,13,3,7,1,13,8,8,1,13,2,6,1,13,2,7,1,13,2,6,1,13,2,9,1,13,2,8,1,9,4,11,2,9,1,13,1,9,1,13,1,8,1,13,2,8,1,13,6,6,1,7,1,30,2,6,1,30,2,6,1,30,1,28,1,6,1,28,1,30,1,28,1,30,3,28,4,30,1,28,2,30,2,6,1,30,1,13,1,29,1,28,1,13,1,7,2,13,1,6,1,13,5,6,1,13,5,8,1,13,4,8,1,13,9,8,1,9,1,8,1,13,2,6,1,13,3,9,4,8,1,9,1,11,1,9,9,11,1,9,2,11,1,9,1,8,1,9,1,11,1,9,1,8,1,9,3,8,1,9,6,8,1,9,1,8,1,9,1,13,10,6,1,13,1,16,1,13,9,7,1,13,7,8,1,7,1,8,1,13,1,9,1,13,5,6,3,13,1,6,3,30,1,6,3,28,1,6,1,13,1,6,1,30,1,6,1,29,1,30,3,6,1,30,1,28,1,6,2,30,1,6,1,30,1,6,4,13,1,6,1,30,2,29,1,30,1,6,1,7,1,30,1,6,1,30,3,6,2,30,2,6,1,30,1,6,2,13,1,6,2,30,1,6,1,30,2,6,3,30,1,6,1,28,1,29,1,30,1,7,1,6,1,30,1,6,1,30,2,6,3,13,1,30,1,6,1,30,2,29,1,6,1,30,1,13,1,7,1,13,1,7,2,13,1,6,3,13,1,6,1,13,3,6,1,13,5,8,1,13,7,9,1,13,4,6,1,13,2,6,1,13,3,7,1,30,1,6,1,30,1,28,1,30,1,28,4,6,1,9,1,13,1,6,1,28,1,30,1,28,1,30,1,28,4,30,1,28,1,30,1,6,1,13,4,6,1,28,1,13,1,9,1,7,1,13,1,30,1,13,1,6,1,28,1,6,1,30,2,28,19,30,1,28,14,30,1,28,1,30,1,6,1,28,1,6,1,30,1,13,1,6,1,30,4,28,1,30,3,6,1,30,2,6,1,30,1,7,1,30,2,6,1,9,1,13,2,6,1,7,2,6,3,13,1,7,1,13,1,6,1,13,1,7,1,13,7,6,1,7,1,13,3,6,1,7,2,13,1,6,1,13,1,6,1,13,2,6,1,13,1,30,1,6,1,13,2,30,1,7,1,13,1,30,2,6,1,13,1,6,1,30,1,6,1,13,1,6,1,13,1,6,1,7,1,13,2,6,1,13,1,6,1,7,1,8,1,6,1,13,1,6,1,7,2,6,1,30,1,13,1,6,1,13,1,6,2,13,1,6,2,30,1,6,1,30,1,13,1,30,1,7,1,13,4,6,1,13,1,6,3,30,1,6,1,29,1,7,1,30,1,6,1,13,2,6,6,30,1,6,1,13,1,29,1,28,1,30,1,6,1,30,1,7,1,6,1,13,1,6,2,30,2,6,2,30,1,13,1,6,1,13,1,7,1,6,1,29,1,30,1,13,3,7,1,13,1,6,2,13,1,6,7,30,2,6,2,13,1,6,1,13,2,6,2,30,1,6,1,7,1,6,2,30,1,13,1,7,1,6,1,13,1,6,6,13,1,6,4,13,1,6,1,30,1,7,1,6,1,30,1,6,2,30,1,6,1,29,1,6,1,30,1,6,3,28,6,13,2,7,1,6,1,7,2,30,3,28,6,30,1,8,1,9,1,13,1,7,1,13,1,8,1,11,1,9,3,10,2,9,2,13,1,9,1,8,2,10,2,11,2,17,15,11,1,17,2,30,2,28,3,13,1,29,1,13,1,6,1,8,1,7,1,13,2,7,1,6,10,13,1,6,5,30,14,28,1,30,2,6,2,29,1,30,3,6,1,28,1,6,2,30,1,6,5,13,2,9,1,8,1,13,2,9,4,13,1,9,4,6,1,30,5,6,1,30,1,6,1,30,1,29,2,6,2,28,3,30,1,29,1,28,1,29,1,30,1,6,1,29,1,30,2,28,1,30,1,28,1,30,1,6,1,28,1,30,2,28,1,30,1,28,1,30,2,28,1,30,1,6,1,28,1,13,1,30,4,6,1,13,2,6,1,13,2,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,28,1,30,1,13,1,28,52,30,2,25,1,8,1,7,1,25,2,12,1,24,1,8,1,7,1,24,1,10,1,24,2,13,1,12,1,24,1,13,1,24,3,8,1,24,1,8,3,10,1,13,1,24,2,8,2,10,1,24,1,12,1,8,2,24,6,8,1,24,2,10,1,24,1,12,1,24,1,10,1,24,2,12,1,24,1,10,1,24,1,17,1,9,1,12,1,17,1,10,1,12,1,10,1,17,2,10,1,17,2,12,1,17,1,10,1,17,1,10,1,17,6,24,1,6,1,30,1,28,10,30,1,29,2,28,1,30,1,29,1,28,3,30,1,6,2,29,1,30,1,28,1,27,1,6,1,8,1,7,1,24,2,12,1,24,1,13,1,24,1,10,2,12,1,10,1,12,1,17,1,12,1,17,1,9,1,12,1,9,1,12,2,10,1,12,1,8,1,24,1,10,1,24,1,17,1,12,1,24,1,12,1,10,1,24,3,9,1,24,1,12,1,8,1,17,1,10,1,12,2,17,1,10,1,17,1,12,3,9,1,12,1,8,1,24,3,13,1,6,1,24,2,8,2,24,2,8,1,7,2,8,1,7,1,8,5,6,1,24,1,8,2,10,1,12,1,24,1,8,2,24,2,13,1,24,3,13,1,9,1,8,1,10,1,12,1,10,1,8,3,12,2,17,1,8,1,10,1,24,1,10,1,24,1,10,1,8,1,10,1,8,1,10,1,7,1,24,1,6,1,9,1,24,2,8,1,9,1,10,1,24,1,8,1,9,1,13,2,10,2,24,4,10,1,8,1,17,1,9,2,24,1,9,1,24,1,11,1,24,1,8,1,17,1,9,2,11,1,13,1,6,1,30,1,28,1,30,1,28,2,30,1,28,145,30,1,28,6,13,1,9,1,14,1,12,1,10,1,11,1,9,1,24,1,8,1,24,1,13,2,6,2,29,1,28,1,29,1,6,1,7,1,8,1,13,2,8,1,9,1,17,4,16,1,6,1,28,6,30,1,13,2,24,1,29,1,28,1,30,1,28,34,6,1,16,1,13,1,6,1,29,1,30,1,8,1,15,1,24,1,9,1,8,1,13,1,8,2,10,1,8,1,9,1,11,1,9,1,17,2,8,1,30,2,7,1,6,1,7,1,13,1,17,1,13,1,29,1,28,3,6,1,30,1,13,1,24,2,9,1,15,1,17,1,16,1,12,1,10,1,24,1,30,1,28,1,30,1,7,1,9,1,17,1,9,1,13,1,28,1,13,1,9,2,24,1,28,25,30,1,28,22,9,1,11,1,9,1,28,10,13,1,}, {28,1,29,1,30,1,28,2,29,1,28,2,8,1,28,2,13,1,28,4,13,1,28,3,29,3,6,2,30,2,29,1,6,1,28,1,30,2,7,1,6,1,7,1,8,2,9,1,10,1,9,1,8,2,9,1,10,1,11,1,9,1,11,2,8,1,9,2,7,1,9,1,8,1,9,2,13,1,30,1,28,1,30,1,28,3,30,2,6,1,8,1,9,3,6,1,28,3,30,1,24,1,17,1,10,1,12,1,9,1,8,1,9,1,28,1,30,1,28,7,9,1,12,1,13,1,6,1,30,1,28,1,30,1,28,20,29,1,28,10,30,1,28,14,30,2,28,18,30,1,28,9,7,1,10,1,9,2,10,1,9,1,12,1,17,1,16,1,17,3,8,1,9,1,8,1,9,1,13,2,9,1,17,3,8,1,13,1,6,1,29,1,9,1,8,1,14,1,6,1,7,1,28,5,30,1,28,22,30,1,28,1,29,1,8,1,29,1,24,1,13,2,9,2,17,1,8,1,13,1,7,1,30,1,28,2,6,1,8,1,14,1,15,1,9,2,24,1,8,1,6,2,28,1,30,1,29,1,30,1,6,1,13,2,30,1,6,1,30,1,8,3,13,1,24,1,8,2,9,1,17,3,14,1,9,1,30,1,28,12,30,1,10,1,17,11,11,1,16,2,11,3,16,3,17,1,16,1,11,1,9,1,11,2,17,1,6,1,7,1,28,1,6,2,13,1,9,1,16,1,11,3,9,2,16,1,9,2,16,1,17,2,16,2,11,1,16,4,9,1,13,2,28,15,30,1,28,1,6,1,13,5,9,2,13,2,9,1,13,5,6,2,30,3,28,12,6,1,11,1,9,1,10,1,9,1,11,2,10,1,9,1,10,1,9,2,11,2,9,1,11,2,9,2,11,4,16,1,9,1,11,1,9,4,13,1,8,1,13,1,8,1,9,1,8,1,13,3,6,1,29,1,13,1,29,1,8,1,7,1,6,1,30,1,7,1,29,2,28,2,30,1,28,69,13,1,10,1,12,1,17,10,11,2,17,1,11,1,17,4,11,1,16,1,17,1,9,1,11,1,10,2,11,1,24,1,10,1,8,3,9,1,8,1,24,1,13,2,10,1,13,1,24,1,10,1,13,1,8,1,13,1,6,1,13,1,7,1,24,1,6,1,30,1,7,1,6,1,13,1,29,1,8,1,29,1,30,1,6,1,30,1,28,69,30,1,28,10,6,1,13,2,6,1,13,2,30,3,6,1,13,7,9,1,13,4,6,1,13,3,6,1,13,1,6,1,13,2,6,1,13,1,28,9,30,1,13,1,9,2,8,1,9,1,8,1,9,1,13,1,28,5,30,1,13,1,9,2,10,1,8,1,9,6,11,1,6,1,13,2,28,6,13,1,28,3,6,1,13,1,16,2,9,2,13,1,9,1,11,1,16,1,11,5,8,1,9,1,10,1,11,3,10,1,9,1,11,1,9,4,11,1,13,1,9,2,8,2,13,1,11,1,17,2,9,1,8,1,13,1,9,2,13,2,9,1,13,4,6,1,13,2,6,1,28,1,6,1,13,3,30,1,9,1,13,3,30,1,6,1,13,1,7,1,13,2,30,1,13,2,6,1,13,1,6,1,13,1,8,1,13,1,6,1,13,2,6,1,28,1,13,2,30,1,13,2,6,3,30,1,6,1,13,1,28,1,30,1,13,1,6,1,13,1,6,1,13,4,9,1,13,1,9,1,13,2,9,1,11,3,16,2,11,1,16,1,8,1,7,1,13,1,28,1,29,1,28,6,6,1,13,1,6,1,13,4,7,1,13,10,6,1,13,1,6,2,13,1,30,1,13,8,6,1,13,1,7,1,13,2,6,1,13,2,6,1,7,1,13,10,6,1,13,1,6,1,7,1,13,4,8,1,9,2,8,2,13,1,9,1,13,1,9,1,13,1,7,1,13,4,7,1,30,1,6,1,28,1,30,2,7,2,28,2,6,1,30,1,6,1,28,2,6,1,30,1,13,1,30,1,13,3,30,1,13,4,8,1,13,8,8,1,9,2,13,2,8,1,13,2,8,1,6,1,13,1,8,1,13,5,9,1,13,3,9,1,13,8,7,1,13,3,8,1,9,1,11,1,9,6,8,1,9,2,11,1,13,1,9,1,13,1,9,1,11,1,9,1,10,1,8,1,9,1,13,1,8,1,13,1,8,1,13,8,9,3,8,1,9,1,13,1,8,1,13,1,9,3,13,4,6,1,9,1,13,6,9,1,16,1,9,1,13,8,6,1,13,4,9,2,8,1,13,3,6,1,13,5,6,2,13,4,30,1,7,1,13,1,9,2,13,7,6,1,13,2,7,1,13,1,6,2,13,2,8,1,13,2,6,1,13,1,6,2,30,1,13,1,6,2,13,1,8,1,13,3,6,1,13,5,6,1,13,1,6,1,13,2,6,1,30,1,28,1,30,1,6,1,13,1,30,2,6,6,13,1,9,1,29,1,30,2,6,1,29,1,30,1,6,1,30,1,6,1,30,3,13,1,30,1,6,1,29,1,6,1,30,1,6,1,30,1,6,2,13,1,6,2,13,1,6,1,30,1,6,1,13,1,6,1,13,2,6,1,13,4,7,1,13,1,9,1,8,1,13,5,6,3,13,2,7,1,13,2,6,2,13,1,7,1,13,3,30,1,6,2,13,2,6,3,30,1,6,2,13,1,30,1,6,1,13,1,6,1,13,1,6,1,13,4,6,1,30,1,6,1,13,4,9,1,11,1,13,2,9,1,13,1,9,1,13,2,9,1,13,2,9,1,8,1,13,1,6,1,30,1,6,1,30,2,28,44,30,2,13,1,6,1,28,1,13,3,28,2,30,1,6,2,28,5,6,1,28,1,29,1,28,1,6,1,28,1,6,1,30,1,6,2,30,1,6,1,30,3,6,2,30,1,28,1,30,3,28,1,30,1,28,2,30,1,28,9,30,1,28,2,30,3,28,2,30,1,28,1,30,1,6,2,28,1,6,1,30,3,6,2,30,1,6,2,13,6,6,1,7,1,13,1,30,1,13,1,29,1,6,1,7,2,6,3,28,1,13,1,6,1,30,1,6,9,30,1,13,1,6,1,30,1,6,2,13,1,6,2,7,1,13,2,6,1,13,1,30,1,6,2,30,1,13,1,30,1,6,2,30,1,6,1,30,1,7,1,13,1,30,1,6,2,13,1,6,3,30,2,6,3,7,1,6,1,29,1,7,2,6,1,7,1,6,1,7,1,6,1,13,1,6,1,13,1,7,1,6,1,29,1,13,2,6,1,30,2,7,1,6,3,30,1,6,1,30,1,6,9,13,1,6,1,30,1,6,1,29,1,6,3,30,1,6,1,30,1,6,3,29,1,6,2,28,8,7,1,13,3,7,3,30,1,28,7,6,2,24,1,13,1,8,2,13,1,9,1,8,1,9,2,11,1,13,1,9,3,10,1,9,1,10,1,9,1,10,1,11,1,17,1,11,1,12,1,17,11,12,2,17,1,9,1,13,1,30,1,28,2,30,1,7,1,13,1,29,1,13,3,6,1,13,1,6,1,13,1,7,1,13,1,7,1,6,3,29,1,6,2,7,2,6,4,30,1,29,1,30,1,29,1,30,1,6,1,30,2,6,1,30,2,29,2,30,4,6,2,30,1,6,2,29,1,6,2,7,1,6,2,30,1,6,1,30,1,6,1,13,1,7,1,9,2,13,2,10,1,8,1,9,2,8,1,9,1,11,2,10,1,9,1,6,1,30,2,28,3,30,3,6,1,30,1,6,2,28,1,30,1,28,2,6,1,30,1,6,1,28,2,30,1,6,2,29,1,28,1,30,2,28,1,30,1,29,1,13,1,6,1,30,1,6,1,28,1,29,1,30,1,6,1,30,1,28,3,30,3,6,1,13,3,30,1,13,1,30,1,6,1,30,1,29,1,28,3,30,1,28,1,29,1,13,1,28,52,30,1,25,1,8,1,24,1,8,2,13,1,8,1,7,1,24,2,8,3,24,3,10,1,8,3,7,1,8,1,7,1,8,3,7,1,8,1,10,1,7,1,8,1,12,2,13,1,10,1,8,2,24,1,12,1,10,1,24,2,13,1,24,1,8,2,13,1,24,3,10,2,8,1,10,1,9,1,24,2,12,1,10,2,24,1,12,1,24,1,12,1,24,2,17,1,12,2,17,1,12,2,17,9,12,1,6,1,30,1,28,5,30,1,28,1,29,1,28,3,30,2,28,1,30,2,28,1,29,1,28,1,6,1,29,1,30,1,28,1,29,1,25,1,6,1,29,1,8,1,6,1,10,1,8,2,24,1,8,1,13,1,24,1,12,1,10,1,12,2,10,2,17,1,24,1,17,1,24,2,12,1,24,1,10,1,17,1,24,1,8,1,9,1,10,1,9,1,24,1,10,1,12,1,13,1,12,1,10,1,24,2,12,3,24,1,17,1,12,3,17,2,24,1,9,1,12,1,24,2,8,1,24,2,13,1,8,4,24,2,7,1,12,1,7,1,13,1,24,1,8,3,13,1,10,1,8,1,24,1,13,1,24,1,8,1,12,1,7,1,10,1,13,1,10,1,8,2,9,1,8,2,24,1,13,1,9,1,24,1,13,1,9,1,12,1,10,1,24,1,8,1,10,1,9,1,10,3,12,1,8,1,24,1,8,1,12,1,24,1,10,1,8,1,13,1,24,1,13,3,7,1,8,1,13,1,10,2,24,3,12,1,9,1,24,1,9,1,8,1,12,1,9,1,12,1,9,1,10,1,12,1,10,1,9,1,17,1,12,1,17,1,12,1,17,1,10,1,13,1,7,1,30,1,28,1,29,1,28,2,6,1,28,145,30,1,29,1,30,1,28,6,6,1,24,1,15,2,11,1,17,1,8,1,24,1,9,1,8,2,7,1,29,1,6,1,30,1,28,1,29,1,6,2,24,1,8,1,13,1,8,1,17,4,9,1,17,1,9,1,28,6,29,1,24,1,9,1,24,1,8,1,29,1,28,35,11,1,15,1,9,1,28,1,30,1,29,1,8,1,17,1,9,1,24,1,6,1,8,1,29,1,6,1,24,3,9,1,17,1,9,2,13,1,6,1,28,1,30,1,6,1,13,2,15,1,12,1,30,1,28,3,6,1,13,1,6,1,13,1,10,1,11,1,12,1,17,1,12,1,11,1,9,1,7,2,28,2,6,1,9,1,17,1,9,1,6,1,28,1,6,1,9,1,12,1,13,1,30,1,28,10,30,1,28,8,30,1,28,27,10,1,17,2,28,10,8,1,}, {28,5,30,1,29,1,28,2,30,1,28,1,30,1,28,6,30,1,28,2,30,1,6,1,7,1,6,1,30,1,6,5,29,1,30,1,28,1,13,2,8,1,30,1,9,1,13,1,8,1,9,1,8,1,9,1,8,1,13,1,6,1,28,1,6,1,8,6,9,1,13,1,29,1,30,1,28,5,13,2,10,1,6,1,30,1,28,4,30,1,9,1,17,1,13,1,9,1,6,1,13,1,6,1,30,1,6,2,28,2,30,1,28,3,13,1,9,1,8,1,7,1,28,51,30,1,28,15,30,1,28,9,30,1,7,1,9,1,8,1,24,1,8,1,24,1,9,1,13,1,8,1,11,1,17,1,10,1,17,1,24,1,12,1,8,2,24,1,8,1,10,1,12,1,17,3,11,1,8,1,29,1,6,1,29,1,11,1,10,1,9,1,29,1,28,2,29,1,28,26,29,1,6,2,29,1,7,1,13,1,8,1,24,1,17,1,15,1,9,1,24,1,13,1,6,2,28,1,29,1,10,1,17,1,10,1,14,1,24,1,8,1,6,2,30,1,7,1,28,1,29,1,24,1,13,1,6,1,13,1,30,1,6,2,8,1,13,1,8,3,9,3,11,1,17,2,14,1,9,1,30,1,28,2,30,1,28,9,30,1,11,1,17,8,16,4,11,1,17,1,16,1,17,1,11,1,16,6,11,1,16,2,9,1,30,2,28,1,7,1,28,1,13,1,9,3,16,1,11,1,9,1,16,2,11,1,17,3,16,1,17,1,16,3,17,1,11,1,13,2,28,10,6,1,7,2,6,1,13,1,6,1,13,4,8,1,13,2,8,1,9,1,13,1,8,1,13,8,28,17,13,1,9,1,11,2,9,2,10,1,11,1,8,1,10,2,9,1,11,1,10,4,9,5,11,2,10,1,9,4,13,1,9,1,13,1,8,1,13,4,8,1,13,1,9,1,8,2,13,1,8,1,6,1,7,1,28,1,30,1,6,1,28,1,29,1,28,70,6,1,17,2,11,1,16,1,11,1,17,5,12,1,17,2,16,1,12,1,17,2,16,1,17,1,12,1,17,1,11,2,24,1,10,1,9,2,10,1,9,1,8,1,12,1,8,1,13,1,8,1,9,1,8,2,13,2,6,1,8,1,24,1,7,1,8,1,13,1,8,1,7,2,6,1,13,1,30,1,6,1,13,1,6,1,29,1,28,1,7,1,28,1,30,1,29,1,28,2,29,1,28,66,30,1,28,10,13,1,30,1,6,2,13,1,30,1,13,1,30,1,28,1,13,5,6,1,13,2,9,1,13,6,6,1,13,6,6,2,13,1,30,1,28,8,30,1,9,3,13,2,9,2,6,1,28,6,13,3,9,1,8,1,9,1,11,1,9,2,11,1,16,1,13,1,11,1,13,2,30,1,28,9,6,1,13,1,9,1,17,1,9,2,13,1,9,1,11,1,9,3,16,1,11,1,9,1,11,1,16,1,11,1,9,2,11,1,9,2,13,1,8,1,9,1,16,1,11,2,9,1,13,1,9,2,8,1,13,1,9,1,17,2,9,1,8,1,13,2,8,1,13,1,9,1,13,1,11,1,13,1,7,1,13,3,28,1,8,1,13,1,6,1,9,1,13,4,29,1,7,1,13,1,30,1,13,1,29,1,6,1,13,1,30,1,6,1,13,1,6,2,13,2,6,1,13,6,6,1,13,5,6,1,13,5,7,1,13,7,8,1,9,1,7,1,9,1,11,1,9,1,16,3,11,1,9,1,17,1,9,1,11,1,8,1,9,1,30,1,28,6,30,1,7,2,8,1,13,5,8,1,13,1,6,1,7,1,13,8,7,1,13,9,8,1,6,1,13,2,8,1,13,2,8,1,13,3,6,1,13,9,6,8,30,1,6,1,13,1,9,1,13,2,8,1,13,5,6,3,13,5,8,1,9,5,11,2,9,1,10,1,9,3,13,2,9,1,8,2,9,1,13,1,9,1,13,2,9,1,13,11,7,1,13,2,9,1,13,1,9,1,13,15,6,1,30,1,13,4,6,1,13,1,6,1,13,1,6,1,13,2,9,1,8,1,13,1,8,1,9,2,8,1,9,3,13,1,9,3,13,1,8,1,13,1,9,1,13,6,6,2,30,1,28,1,13,6,6,1,13,3,9,1,13,1,8,2,13,2,9,1,13,1,9,3,11,1,9,1,11,2,9,1,11,2,17,1,16,1,11,3,9,4,11,1,16,1,9,3,16,1,9,1,11,1,17,1,13,1,9,2,13,1,10,1,9,1,16,1,17,1,11,1,16,2,9,1,13,2,6,1,13,1,8,1,9,3,13,1,9,1,13,1,9,5,13,1,11,2,9,1,11,1,16,1,11,2,9,1,11,2,17,2,16,1,11,2,9,3,8,1,9,1,16,1,17,2,9,1,16,2,9,2,13,1,16,5,9,1,13,2,9,4,13,1,6,1,13,1,30,1,9,1,13,3,6,2,13,5,6,2,30,1,6,1,13,2,6,1,7,1,30,1,6,2,13,3,28,1,6,3,30,4,6,1,30,1,13,1,6,2,13,1,6,2,9,1,13,1,6,3,13,1,30,1,6,2,7,1,6,1,13,1,6,1,29,1,6,4,30,1,13,1,6,2,30,1,6,1,30,1,6,2,13,1,6,2,7,1,30,1,6,1,13,1,6,4,13,1,6,4,13,3,6,1,30,1,6,1,30,1,6,1,13,3,6,1,13,2,6,1,13,2,6,1,13,3,7,1,13,2,30,1,6,1,30,1,29,1,13,1,6,2,13,2,6,1,13,2,6,2,30,1,6,1,30,1,28,1,30,2,28,1,6,1,30,1,6,1,30,1,6,4,30,1,6,1,29,1,30,1,6,2,30,1,6,1,30,3,6,1,30,1,13,4,7,1,13,4,6,1,13,8,30,1,28,1,30,2,28,3,30,1,28,1,6,1,28,2,30,1,28,2,6,1,28,6,30,3,28,5,13,1,28,1,30,1,28,1,30,1,28,2,30,1,28,2,6,1,30,1,28,1,30,4,28,5,29,1,28,4,30,2,28,2,30,1,28,1,30,1,28,3,30,1,28,1,30,1,28,2,30,1,28,2,30,2,28,1,29,1,6,1,30,1,6,5,28,1,30,4,6,1,30,1,28,1,30,4,28,1,30,1,6,1,30,1,6,1,28,1,6,3,28,1,30,3,28,1,30,1,6,2,29,1,6,2,7,1,6,2,30,1,6,4,30,1,13,1,30,1,6,2,13,1,30,1,7,1,29,1,6,1,13,1,7,1,6,5,30,1,6,3,30,1,6,1,13,1,6,1,13,1,6,2,30,1,6,4,13,1,6,1,7,1,6,8,30,1,6,3,7,1,30,1,6,1,13,1,30,1,6,1,30,3,6,3,30,1,6,1,29,1,6,5,29,1,6,1,13,1,28,6,30,1,29,1,8,1,6,4,29,1,30,1,28,5,6,1,30,1,7,1,6,1,24,1,9,1,13,1,7,1,8,1,9,5,24,1,9,1,11,1,8,1,10,1,9,2,12,3,11,1,17,1,12,1,17,10,12,1,11,2,13,1,9,2,6,1,30,1,28,1,30,1,13,1,6,2,7,1,6,1,13,1,6,9,7,1,13,1,6,4,30,1,6,1,30,1,6,2,29,1,30,4,6,1,30,2,28,1,6,1,30,3,6,2,7,1,6,2,30,1,29,1,6,5,30,2,6,2,29,1,13,1,8,1,13,1,9,2,8,2,9,1,8,1,11,1,8,1,11,1,9,1,12,1,9,2,7,1,6,2,30,3,28,2,30,1,6,2,30,2,28,1,6,1,28,1,6,2,29,1,13,1,6,1,30,1,6,1,30,2,13,1,6,1,30,3,29,1,6,2,28,1,6,2,30,1,28,1,30,1,6,1,30,3,29,1,6,1,8,1,13,3,6,3,30,1,28,2,30,2,28,5,29,1,28,52,30,2,8,2,7,1,24,1,6,1,8,1,7,1,24,1,8,1,13,1,12,1,8,2,12,1,24,1,7,1,24,2,13,1,8,1,6,1,8,1,13,1,7,1,13,2,8,1,10,1,24,1,8,1,6,1,10,1,8,1,7,1,24,1,10,1,12,1,10,1,24,1,8,1,10,1,8,1,24,1,13,1,24,1,7,1,8,2,24,1,7,1,24,2,8,1,24,1,10,1,24,5,10,1,12,2,10,1,24,1,12,8,11,1,12,2,17,6,13,1,28,13,30,1,28,1,30,1,28,1,30,1,28,1,30,1,29,1,6,1,29,1,25,1,28,1,7,1,29,1,25,1,24,1,8,2,24,1,8,2,24,4,10,2,12,2,10,1,9,1,12,1,17,2,10,2,12,1,8,1,10,1,12,1,10,2,9,3,8,1,24,1,8,1,24,4,7,1,12,3,17,3,11,1,17,1,9,1,10,1,24,1,10,1,24,2,8,1,24,1,13,2,24,1,8,3,13,1,8,1,24,1,8,1,7,1,8,1,24,1,7,1,24,3,13,1,8,1,13,1,24,2,9,1,8,1,9,1,8,1,24,2,9,1,10,1,13,1,24,1,8,2,10,1,24,2,12,2,8,1,17,1,24,1,8,1,12,1,24,1,10,1,17,1,24,1,8,1,10,1,9,1,8,1,10,1,24,1,8,1,13,2,9,1,13,1,10,1,13,1,24,1,8,3,10,1,9,1,24,1,12,1,24,1,10,1,24,2,9,1,24,1,10,1,12,2,9,1,12,3,9,1,10,1,9,1,11,1,13,1,6,1,29,1,28,1,30,2,28,81,30,1,6,1,30,1,13,1,30,1,28,63,6,1,30,1,28,6,30,1,9,1,14,1,10,1,9,1,10,1,11,1,24,1,8,1,24,1,8,1,9,1,29,1,28,1,7,1,6,1,13,1,6,1,13,1,6,1,13,1,9,1,12,1,9,1,11,1,17,1,12,1,9,1,16,1,6,1,28,7,24,1,10,1,13,1,24,1,7,1,28,4,30,1,28,30,17,1,8,1,10,1,28,2,6,1,9,1,17,1,10,1,11,1,6,1,7,1,29,1,7,1,13,2,9,1,12,2,11,1,12,1,6,2,30,1,6,1,30,1,29,1,13,1,17,1,8,1,28,3,30,1,6,1,30,1,8,1,24,1,9,1,15,1,9,1,17,2,12,1,8,1,6,2,30,1,28,1,7,1,9,1,12,1,8,1,29,1,28,2,10,1,11,1,8,1,6,1,28,31,30,1,28,15,12,1,17,1,9,1,28,10,6,1,}, {6,1,29,1,28,3,30,1,28,3,6,1,30,1,28,1,7,1,28,1,30,2,28,1,6,1,30,2,29,1,30,1,6,3,8,1,6,2,30,1,28,2,30,2,6,2,30,1,13,1,29,1,6,1,13,2,6,1,28,5,30,1,6,1,11,1,8,1,13,1,9,1,11,2,8,1,13,1,28,2,30,1,28,2,30,1,28,1,6,1,8,1,28,6,30,1,13,1,6,1,28,1,6,1,30,1,29,1,28,1,6,1,13,1,28,8,29,1,13,1,6,1,28,32,30,1,6,1,28,16,30,1,28,15,30,1,28,9,6,1,8,4,13,1,8,1,6,1,7,1,13,1,7,1,8,1,9,2,8,1,10,1,11,1,9,1,8,2,13,2,9,1,11,1,17,3,9,1,8,1,13,2,6,1,9,2,13,1,30,1,28,2,30,1,28,24,30,1,6,1,30,2,8,1,7,1,6,1,9,5,17,1,13,1,29,1,28,1,29,1,28,1,30,1,10,1,17,1,12,1,14,1,9,1,8,1,7,1,6,1,7,1,13,1,29,1,6,2,29,1,7,1,13,1,6,1,29,1,7,1,8,1,6,1,8,1,13,1,8,1,24,1,9,2,11,1,17,1,14,2,9,1,30,1,28,9,30,1,28,3,17,11,16,2,11,1,16,2,9,2,11,1,16,1,17,1,16,1,11,1,16,1,11,2,16,1,13,1,28,3,13,1,30,1,7,1,13,1,9,3,11,3,17,1,16,1,17,3,16,1,11,1,16,1,11,1,16,1,9,1,13,1,28,10,13,1,6,1,13,3,9,1,8,1,13,2,9,1,13,2,9,1,13,1,8,3,13,2,9,1,13,1,6,1,13,1,6,2,28,2,30,1,28,15,13,1,11,1,9,2,11,1,9,8,11,1,9,1,11,1,9,1,11,3,10,1,16,1,9,1,11,1,13,1,11,1,9,2,8,1,9,1,13,2,9,1,8,2,13,1,9,1,8,2,13,1,24,1,7,1,13,1,6,1,29,1,30,1,29,1,6,1,28,1,30,1,28,70,13,1,9,1,17,15,12,1,17,1,16,1,17,2,10,1,9,2,10,1,11,1,9,1,24,1,9,1,8,4,24,2,8,1,9,2,24,1,13,1,8,2,29,1,6,1,8,2,7,3,24,1,30,1,13,2,6,1,30,1,6,1,7,1,28,1,6,1,30,1,28,2,30,1,28,78,6,3,7,1,30,1,6,1,7,1,28,1,30,1,6,1,13,1,9,1,13,2,28,3,13,6,8,1,13,2,6,3,13,1,6,1,13,2,30,1,13,2,28,9,30,1,13,1,11,1,9,1,11,1,9,2,13,1,28,6,13,2,9,5,11,1,13,1,9,1,11,1,16,1,9,1,13,2,28,10,13,2,9,2,11,1,9,2,13,1,9,2,11,1,16,1,11,1,16,1,17,1,11,1,9,2,11,1,16,1,11,1,9,2,8,1,9,2,11,1,9,4,13,1,9,1,13,2,17,3,11,1,9,1,13,1,8,1,6,1,9,1,13,2,8,1,9,1,13,1,9,1,6,1,13,1,6,1,13,1,30,1,13,2,6,4,13,1,30,1,29,1,6,1,30,2,28,1,13,1,9,1,28,1,13,1,6,1,9,1,13,2,6,1,13,2,6,1,13,3,30,1,6,1,13,1,6,1,13,4,30,1,13,1,6,1,9,1,13,1,6,2,13,1,6,2,9,1,13,2,10,1,9,2,16,1,11,5,16,1,9,1,8,1,6,1,13,1,30,1,28,1,13,2,9,1,13,23,8,1,13,1,9,1,13,4,7,1,13,3,6,1,13,5,9,1,13,3,6,1,13,1,6,2,13,1,6,2,30,2,13,1,6,3,28,1,6,1,30,1,29,1,30,1,13,1,6,1,13,1,6,1,8,1,9,1,13,1,9,1,16,1,9,3,13,1,8,1,9,2,8,2,9,2,16,1,9,6,13,1,9,1,13,1,9,2,13,1,8,1,9,1,8,1,13,2,9,1,13,2,9,1,13,4,9,1,13,1,8,1,13,6,7,1,8,1,13,7,8,1,13,9,8,1,7,1,13,1,7,1,13,6,6,1,13,6,9,1,8,1,9,1,13,1,8,1,13,1,9,2,13,1,9,2,13,2,6,1,7,1,13,1,6,2,7,1,13,2,9,1,13,4,9,1,13,2,9,2,11,1,13,1,9,2,11,1,13,1,17,1,11,2,9,1,16,3,11,2,9,1,16,1,11,1,16,6,17,1,11,1,16,8,17,1,16,4,11,1,9,1,13,1,9,1,16,1,11,1,9,2,11,2,13,1,11,3,9,2,13,5,9,2,13,1,9,5,13,1,9,1,13,10,9,2,16,1,11,1,9,2,13,1,9,1,11,2,13,1,11,1,13,2,9,2,13,1,9,2,11,2,13,1,11,1,13,1,11,1,9,5,11,2,16,1,11,2,10,1,11,3,9,1,11,1,9,1,10,1,9,1,13,1,9,2,13,1,9,2,11,3,9,2,13,2,9,1,16,2,13,1,6,2,13,5,6,1,13,1,9,1,13,1,6,1,13,1,30,2,6,1,13,1,6,2,30,3,6,3,30,3,29,1,6,2,30,3,13,1,30,1,6,3,30,1,6,4,29,1,30,1,6,4,30,1,6,5,29,1,6,1,13,1,6,5,7,1,13,2,6,7,13,1,6,2,30,1,6,4,13,1,7,1,6,2,13,1,6,1,30,1,6,4,30,1,6,1,30,1,7,1,6,2,30,1,13,1,6,1,13,3,7,1,13,3,30,1,6,1,13,1,7,1,6,1,13,2,6,1,30,1,6,1,13,1,6,2,13,4,9,1,8,1,13,2,8,1,13,8,8,1,13,8,6,1,13,1,6,1,7,1,6,4,8,2,7,1,13,2,6,1,7,1,13,1,7,1,9,2,6,1,13,1,8,1,9,1,8,1,13,3,9,2,13,4,9,4,8,1,13,1,6,1,13,3,8,1,13,3,6,3,13,6,6,2,13,1,6,1,30,2,6,1,28,1,30,3,28,2,30,2,28,13,30,2,28,11,30,2,28,1,6,1,28,1,30,3,28,5,30,2,28,3,30,1,6,1,30,1,6,1,30,5,29,1,30,1,6,2,13,1,6,1,13,8,6,1,7,1,6,1,13,1,6,3,7,1,6,2,13,2,6,4,7,1,6,1,30,1,6,2,13,1,6,2,30,1,6,1,30,1,6,2,13,1,6,1,30,1,6,1,29,1,6,1,7,1,30,1,6,1,13,1,6,3,13,1,29,1,7,1,6,3,29,1,6,4,30,1,6,3,7,1,28,6,29,1,6,2,13,1,7,1,6,1,7,1,28,3,6,1,30,2,29,1,6,2,13,1,9,1,10,1,13,2,9,1,10,1,24,1,9,3,10,1,11,1,9,3,11,2,17,2,12,2,17,9,12,1,11,1,9,1,11,1,9,1,17,1,8,1,13,1,28,3,13,3,7,1,6,2,29,1,6,2,30,1,6,1,29,1,6,7,30,2,6,1,30,4,6,1,30,2,6,2,30,1,6,1,30,1,6,2,13,1,6,3,30,1,6,1,30,1,6,1,30,1,13,1,30,1,6,2,30,1,6,1,29,1,30,1,6,2,13,1,7,1,6,1,8,1,13,3,8,1,9,3,11,4,9,2,7,1,6,1,7,1,30,5,6,1,30,2,28,1,30,1,28,1,30,1,29,1,7,1,13,2,6,1,13,5,6,1,13,1,30,1,6,1,29,1,6,1,30,1,29,1,30,2,6,2,30,2,29,1,30,2,28,1,13,1,8,1,13,2,7,1,6,1,13,1,30,1,6,1,30,1,29,1,30,1,29,1,30,1,28,57,30,1,29,1,7,1,24,2,7,1,13,2,24,1,10,1,8,1,9,1,12,1,13,1,8,1,13,1,24,1,10,1,24,1,13,1,8,2,6,1,7,1,6,1,7,1,25,1,8,1,25,1,8,1,24,2,12,1,24,1,10,1,24,2,13,1,8,2,24,3,13,1,8,2,24,1,7,1,10,1,24,1,8,1,13,1,8,1,24,1,13,1,24,1,8,1,10,1,24,2,12,1,24,2,13,1,17,1,10,1,12,1,13,1,9,1,12,3,10,1,12,3,17,3,12,1,17,1,12,2,17,2,10,1,13,1,28,8,29,1,30,1,28,1,30,2,28,2,30,1,29,1,28,1,30,1,6,1,28,1,6,1,29,1,6,1,25,1,7,1,8,4,24,1,8,1,24,1,9,2,10,1,12,2,24,1,12,2,10,1,12,1,10,2,9,1,12,1,9,1,10,1,24,1,12,1,24,1,10,2,24,1,9,1,12,1,10,1,12,1,8,1,10,1,12,1,9,1,10,1,12,1,9,1,10,1,24,1,17,1,12,1,17,1,12,1,10,1,17,1,9,1,24,3,8,2,13,1,8,1,13,1,24,2,8,2,13,1,8,3,13,1,10,1,6,1,8,1,13,1,10,1,13,1,7,1,24,2,13,1,7,1,12,1,8,1,12,1,13,1,24,3,10,1,24,1,8,3,24,1,9,1,24,2,8,1,13,1,9,1,7,1,24,1,9,1,10,1,7,1,10,1,12,1,13,1,24,2,13,1,8,1,24,2,8,1,12,1,24,1,8,1,24,1,13,1,9,1,8,1,10,1,8,1,10,1,8,2,24,1,17,1,13,1,12,2,9,1,10,1,12,2,17,1,12,2,17,1,11,1,10,1,9,1,30,1,6,1,13,1,7,1,30,1,13,1,30,1,28,1,30,1,28,77,30,1,13,1,9,1,13,1,16,1,10,1,16,1,17,2,9,3,30,2,28,55,30,1,28,1,30,1,28,6,6,1,11,1,17,1,10,1,17,1,12,1,9,1,7,1,24,1,9,1,8,1,29,1,7,1,30,1,6,2,30,1,6,1,8,1,13,1,8,1,24,1,10,1,11,3,17,2,9,1,13,1,28,7,24,1,12,1,24,1,7,1,28,5,30,1,28,30,9,1,15,1,13,1,6,2,7,1,8,1,12,1,15,1,13,1,8,1,28,1,13,2,7,1,13,1,9,1,11,1,17,2,9,1,13,1,30,1,29,1,30,1,6,1,28,1,13,1,10,2,28,4,6,1,13,2,9,1,24,1,12,4,9,1,13,1,6,1,30,2,28,1,30,1,17,1,12,1,8,1,29,1,28,2,10,1,11,1,8,1,28,13,29,1,28,34,11,1,9,1,11,1,29,1,28,9,7,1,}, {28,5,6,1,30,2,28,1,30,1,6,1,28,1,30,1,28,5,6,2,30,1,6,2,7,1,13,1,28,1,13,1,6,1,30,1,28,4,30,1,28,13,7,1,9,1,13,1,7,1,9,1,16,1,17,1,13,1,6,1,28,6,29,1,30,1,28,6,30,1,7,2,28,17,30,1,28,21,30,1,28,12,30,1,28,32,30,1,28,8,8,1,9,1,13,1,8,1,7,1,29,1,13,1,30,1,13,1,6,1,13,2,6,1,30,1,8,1,11,1,9,3,24,1,8,1,13,2,8,1,10,1,17,4,9,1,8,1,13,3,8,1,15,1,8,1,30,1,28,3,30,1,28,24,6,1,28,1,6,1,13,1,30,1,24,1,9,1,8,1,9,1,8,1,11,1,12,1,8,1,6,2,30,1,28,2,24,1,12,1,14,2,9,1,8,1,13,1,7,2,8,1,6,1,29,1,8,1,13,1,6,1,8,1,6,4,13,2,8,1,13,1,15,1,9,2,17,1,10,1,17,1,14,1,9,1,7,1,30,1,28,12,11,1,17,10,16,4,11,1,9,1,17,1,16,2,17,1,16,1,11,1,16,1,17,1,16,1,11,1,28,1,30,1,28,2,6,1,28,1,30,1,9,5,16,2,17,5,16,1,11,1,16,3,13,1,28,7,30,1,7,1,6,2,13,2,9,1,13,1,9,4,8,1,13,2,9,1,13,6,7,1,6,1,30,1,28,21,13,1,9,1,11,1,10,1,9,1,11,1,9,1,10,1,9,2,11,2,9,1,10,1,11,1,9,1,11,3,10,2,9,1,11,1,9,3,11,2,9,1,8,1,9,1,8,2,9,1,13,1,7,1,13,1,8,3,13,1,7,1,13,1,7,1,6,2,29,1,28,2,30,1,28,70,30,1,12,1,11,1,17,4,16,1,17,3,16,1,17,3,11,1,16,1,17,2,16,1,11,2,16,1,9,1,10,1,9,3,11,1,9,1,24,1,8,1,24,1,13,2,9,1,7,1,8,1,9,1,13,2,9,1,13,5,6,1,13,2,6,1,30,1,13,1,6,2,7,1,30,1,29,1,6,1,28,1,29,1,30,1,28,1,30,2,28,76,30,1,7,1,13,2,28,1,7,1,30,1,6,1,30,1,13,1,9,1,8,1,13,2,29,1,28,5,30,2,13,2,6,1,9,1,13,5,6,2,30,1,13,3,30,1,28,9,13,1,9,4,10,1,9,1,6,1,28,5,6,1,13,1,9,2,11,1,13,1,9,9,13,1,6,1,28,9,13,2,9,2,16,2,9,1,13,3,11,2,16,5,11,1,16,1,9,3,16,1,11,1,16,1,8,1,11,1,9,8,17,2,16,1,9,1,16,1,13,1,9,1,8,1,13,2,9,1,8,1,9,2,13,1,9,1,13,4,7,1,13,2,6,1,7,1,6,1,13,3,30,1,28,1,30,1,13,1,28,1,9,1,28,1,30,1,13,1,6,1,13,5,6,1,13,1,8,2,6,1,13,1,30,1,13,1,30,1,13,1,9,2,13,1,9,1,6,1,11,1,9,2,13,2,11,1,9,1,11,3,16,4,11,1,16,2,11,2,9,1,11,1,6,1,28,2,7,1,13,1,8,1,13,1,6,1,7,1,13,1,8,1,13,3,8,1,13,3,8,1,9,2,7,1,8,1,7,1,13,14,6,1,13,5,29,1,13,4,28,1,30,1,6,4,30,1,6,1,28,1,30,1,29,1,13,2,6,1,13,2,6,1,9,1,13,2,9,1,13,2,9,2,13,1,11,4,8,1,10,1,9,3,11,2,9,1,11,2,9,2,10,1,11,2,9,3,10,1,13,1,9,1,13,2,9,3,8,1,9,1,13,3,9,1,13,19,9,1,13,1,9,2,13,2,8,1,13,4,6,1,13,2,6,1,13,3,7,1,13,7,9,1,13,5,9,1,13,1,16,1,9,1,13,2,9,3,13,1,16,1,11,2,9,2,16,1,17,1,11,1,16,3,11,3,16,1,11,1,16,1,11,2,16,1,11,2,16,1,11,1,16,1,11,2,16,3,13,1,16,1,11,3,17,1,11,1,9,1,11,1,9,1,11,3,17,1,16,2,17,1,16,3,17,1,16,3,11,1,16,4,9,1,13,1,6,1,28,1,6,4,13,2,9,1,13,2,7,1,6,1,30,1,6,1,13,2,9,8,13,1,9,1,13,1,9,1,8,2,13,13,8,1,13,5,9,4,13,2,9,4,13,1,9,2,13,5,16,1,11,2,16,2,11,1,13,1,11,1,8,1,9,1,13,2,8,1,13,8,9,1,13,1,9,2,13,1,9,6,11,1,9,4,11,1,9,3,16,3,17,1,11,1,9,2,13,2,8,2,13,1,6,2,13,1,6,4,7,1,30,1,6,3,9,1,13,1,30,3,7,1,6,1,30,6,6,1,30,1,6,1,30,2,6,1,29,1,30,2,6,1,30,3,13,1,28,1,6,3,7,1,6,2,30,1,6,1,7,2,6,6,13,2,6,2,30,1,6,1,29,1,6,4,13,1,6,1,30,1,6,2,30,1,7,1,6,4,13,1,7,1,6,9,13,1,29,1,7,1,29,1,6,2,7,1,13,2,30,1,13,2,30,1,13,2,6,3,13,17,8,1,13,2,6,3,13,4,9,1,13,8,6,1,13,6,7,1,13,2,7,1,6,3,13,2,7,1,6,1,13,1,8,1,13,2,6,1,13,2,6,1,13,1,6,1,30,1,13,3,6,2,13,3,6,1,13,4,6,1,13,2,6,1,7,1,6,1,13,4,8,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,6,1,30,2,28,1,29,1,30,1,28,1,29,1,28,1,30,3,28,2,30,2,28,6,30,1,28,2,30,1,28,27,6,1,28,6,30,1,28,5,30,3,28,5,30,2,28,2,30,1,28,5,30,2,6,1,30,1,28,2,30,1,28,1,6,2,30,3,6,1,30,1,6,1,30,3,6,1,30,1,6,1,28,1,6,2,13,1,6,2,30,2,6,1,30,1,6,1,13,1,30,1,29,1,28,6,6,1,7,1,13,1,9,1,13,1,7,1,29,1,7,1,29,1,30,1,6,1,28,1,13,1,29,1,30,1,13,2,8,1,12,1,24,1,13,1,8,1,9,1,8,1,9,3,12,1,10,3,11,2,12,1,11,1,12,1,17,1,11,1,17,9,12,2,11,2,12,2,17,1,30,1,28,1,6,2,7,2,30,1,13,1,6,1,13,1,6,2,7,1,6,2,29,1,6,2,29,1,30,1,7,1,30,1,29,1,28,1,6,1,30,5,6,1,30,2,29,1,30,2,6,4,30,1,29,2,6,1,29,1,30,3,29,1,30,1,6,4,30,1,6,1,13,3,7,1,13,2,8,1,13,2,9,1,8,1,9,1,24,1,9,3,11,1,10,1,13,1,6,3,30,1,6,1,30,2,6,2,30,1,28,2,6,2,13,1,30,1,6,1,13,2,29,1,13,2,6,2,13,1,6,1,30,1,13,1,30,1,6,1,30,1,6,2,30,1,28,1,6,1,30,1,6,2,13,1,6,1,30,1,9,1,8,1,13,1,9,1,13,1,6,3,13,1,30,1,29,1,30,2,28,6,30,1,28,52,30,1,29,1,24,1,7,1,13,1,8,3,24,1,8,1,24,1,13,1,24,1,10,1,24,1,7,1,24,4,13,1,8,1,6,1,8,3,29,1,10,1,7,1,6,1,10,1,25,1,8,1,24,1,8,3,13,1,10,1,24,1,13,2,24,4,13,1,8,1,13,1,24,1,13,1,24,3,8,1,24,1,13,1,8,1,12,1,8,1,24,1,10,1,12,1,24,1,12,2,10,1,8,1,10,1,24,1,10,1,9,1,12,1,10,1,17,2,10,2,12,1,17,7,13,1,28,9,30,1,28,1,30,1,28,3,29,1,28,1,29,1,6,1,28,1,30,1,7,1,8,1,7,1,29,1,24,1,8,3,24,2,9,1,24,1,9,1,17,1,12,1,9,2,12,2,9,1,10,1,12,1,9,1,17,1,10,1,24,1,9,1,24,1,13,2,8,1,12,2,8,1,10,1,24,1,10,1,24,3,10,1,24,1,12,1,17,1,24,1,17,2,12,2,17,1,24,1,10,1,24,1,9,1,24,1,7,1,9,1,24,2,8,1,12,1,8,2,7,1,24,1,6,1,13,1,24,1,8,2,24,3,10,1,6,1,10,1,13,1,12,1,13,1,24,1,8,1,7,1,8,2,24,1,6,1,13,2,17,1,24,1,8,2,24,1,10,1,12,1,8,1,24,1,9,1,12,1,10,1,9,1,24,3,9,1,24,1,12,1,24,1,9,1,8,2,24,2,8,1,24,1,8,1,24,1,9,1,10,1,12,1,24,1,17,1,24,1,8,1,12,1,8,1,10,1,9,1,17,1,9,1,12,3,10,1,12,1,11,1,12,1,17,1,12,1,10,1,17,1,8,1,13,2,6,1,29,1,6,1,30,1,28,1,6,1,28,78,6,1,16,1,9,1,16,1,17,4,16,4,11,1,16,1,11,1,6,1,28,55,30,1,28,1,30,1,28,5,6,1,15,2,9,1,16,1,12,1,9,1,8,1,9,1,6,1,13,1,7,1,13,1,6,1,30,1,6,1,8,2,13,1,8,1,13,1,8,1,9,1,17,1,16,1,10,1,17,1,12,1,16,1,28,3,30,1,28,3,13,1,24,1,10,1,24,1,8,1,30,1,28,34,30,1,8,1,10,1,13,1,28,1,13,1,6,1,9,1,14,1,24,1,6,1,30,1,6,1,7,1,6,1,8,1,9,2,12,1,17,2,10,1,8,1,28,1,6,1,30,2,29,1,9,1,15,1,9,1,28,3,29,2,6,1,7,1,9,1,13,1,12,1,10,1,11,1,10,1,12,1,13,1,30,2,28,2,6,1,9,1,16,1,9,1,29,1,30,2,11,1,9,1,8,1,28,1,30,1,28,1,30,1,28,6,30,1,28,18,30,1,28,18,9,1,11,1,8,1,28,10,6,1,}, {28,2,29,1,30,1,6,1,28,3,30,1,28,4,30,3,28,1,29,1,30,1,6,1,9,1,7,1,6,1,28,15,30,1,28,4,30,1,28,1,29,1,8,1,13,1,7,1,13,3,30,1,28,6,30,1,28,1,30,1,28,7,6,1,7,1,29,1,28,15,13,1,28,33,30,1,13,2,28,40,30,1,6,1,13,1,8,3,6,1,7,1,13,1,6,1,13,1,29,1,8,1,6,1,8,1,7,1,6,1,13,1,29,1,8,1,11,1,9,1,8,1,30,1,8,1,13,2,11,1,12,1,17,3,10,1,13,1,7,1,6,1,30,1,13,1,14,1,8,1,28,2,30,1,28,22,30,1,28,5,30,1,6,1,13,1,24,2,9,1,10,2,12,3,13,1,28,2,29,1,28,1,8,1,14,1,17,1,14,1,9,1,10,1,12,1,24,1,9,1,8,1,7,1,29,1,6,2,7,1,6,2,13,4,7,1,13,2,9,1,10,2,17,2,14,2,9,1,13,1,28,13,9,1,17,8,11,1,16,1,11,3,9,1,16,1,11,1,17,1,16,1,17,3,11,1,16,2,11,2,30,2,28,5,13,1,11,1,9,2,16,1,11,1,17,3,16,2,17,1,11,1,16,2,9,1,28,7,30,1,6,2,30,1,13,5,11,1,13,1,9,1,8,1,13,1,8,1,13,1,9,1,8,1,13,3,6,1,30,1,28,25,8,1,9,1,11,1,9,1,16,1,11,1,9,3,11,1,9,2,11,1,9,3,11,1,9,6,11,1,9,8,8,1,6,2,13,2,9,2,8,1,13,1,6,3,28,1,29,1,28,1,29,1,30,1,28,71,17,1,11,2,17,1,16,2,17,3,16,1,17,2,11,2,17,2,11,1,16,1,11,2,17,2,10,1,17,1,10,1,9,1,24,1,8,1,24,3,8,4,24,1,7,3,13,1,8,1,13,2,8,1,6,1,8,1,13,1,7,1,8,1,30,1,13,1,7,1,6,2,13,1,29,2,7,2,29,3,30,1,28,1,30,1,28,65,30,1,28,11,13,1,28,1,6,1,13,1,7,1,6,2,28,1,13,1,9,1,13,1,6,1,28,3,30,1,28,4,30,2,13,1,29,1,13,1,9,1,13,4,30,1,9,1,6,1,13,2,6,2,28,9,30,1,8,2,13,1,9,1,13,1,9,1,13,1,28,5,30,1,13,1,9,1,10,1,11,1,8,1,11,1,9,2,11,1,9,5,13,2,6,1,28,8,6,1,13,1,9,2,11,3,13,3,9,1,11,2,16,4,11,3,17,1,9,1,16,1,9,1,16,2,11,1,16,1,11,1,9,2,13,2,16,1,9,1,17,1,16,2,17,2,8,1,13,2,28,1,9,4,11,1,9,1,13,3,9,1,13,2,30,1,6,1,13,1,6,1,7,1,6,1,13,2,6,1,13,1,30,1,6,1,13,3,28,1,30,1,13,4,6,2,13,2,8,1,13,4,9,1,13,1,9,1,11,1,9,2,13,1,9,3,11,3,10,1,11,1,17,1,11,1,16,1,9,1,11,1,17,1,11,1,16,1,11,1,9,1,11,2,13,2,6,1,13,1,7,2,13,6,8,1,13,3,9,1,13,3,8,2,13,3,9,1,13,5,7,1,6,1,13,3,7,1,13,2,7,1,13,2,6,1,13,1,6,2,7,1,13,1,6,3,7,1,13,2,6,2,13,1,6,1,13,5,9,1,8,1,9,1,13,1,8,1,13,2,7,1,13,5,9,3,11,1,9,3,11,1,9,1,8,1,9,2,11,1,9,4,13,1,9,1,8,1,9,5,13,2,9,1,13,1,9,4,8,1,13,2,6,1,13,9,6,1,13,5,6,2,30,1,6,2,13,2,9,1,13,1,9,1,13,2,9,1,13,1,8,1,9,1,13,3,9,1,13,6,9,1,13,1,9,1,11,2,16,1,9,2,11,2,9,1,16,2,9,1,11,5,9,2,16,2,11,1,16,2,11,1,16,2,11,1,16,1,11,5,9,6,16,1,9,1,11,2,9,1,11,1,16,7,11,1,9,1,11,1,16,2,11,1,16,6,17,1,11,1,16,5,11,2,16,1,17,1,11,1,13,1,6,1,13,2,30,2,6,2,30,3,6,1,30,1,13,1,6,5,13,4,9,1,13,15,6,1,13,1,7,1,13,15,6,1,13,1,9,4,11,1,9,1,13,1,9,1,13,1,9,2,8,1,16,1,8,1,11,3,9,2,6,1,9,2,13,6,9,1,7,1,13,4,9,2,11,1,13,1,9,3,8,2,13,2,9,2,10,1,9,5,16,1,11,1,16,2,9,1,16,1,11,1,13,1,16,1,11,5,9,2,16,3,9,1,13,2,11,1,17,3,13,1,6,1,13,3,30,1,13,1,16,1,9,1,7,1,13,1,6,1,13,1,6,1,28,1,30,1,28,1,30,1,6,2,28,1,30,1,6,1,30,2,6,1,13,1,29,1,30,1,6,1,30,1,6,1,30,1,29,1,30,2,6,1,30,1,6,1,30,1,7,1,30,1,28,1,6,1,13,1,6,2,13,1,6,3,30,1,6,4,30,1,6,2,30,2,6,1,30,1,6,2,30,1,13,1,30,1,6,5,13,1,30,1,6,6,7,1,6,1,13,1,6,2,13,1,6,3,13,2,6,1,13,1,7,1,13,2,6,1,13,4,8,1,13,1,8,1,13,1,6,1,7,1,6,1,9,1,13,4,6,1,13,2,6,1,7,1,13,4,7,1,13,3,6,3,7,1,13,1,6,1,13,2,8,2,13,4,7,1,13,5,6,2,13,6,6,1,13,2,6,2,13,2,6,1,7,1,13,4,6,1,13,2,6,2,7,1,13,5,6,1,13,1,8,1,13,5,9,2,13,2,6,1,13,2,6,1,13,2,6,1,13,2,6,1,13,4,9,1,8,1,13,3,6,2,30,1,28,1,6,1,28,49,30,1,28,37,30,1,28,1,30,7,6,1,28,7,6,1,13,2,7,1,13,2,29,1,13,1,30,1,13,1,6,3,30,1,7,1,13,1,8,1,24,1,8,1,13,1,10,1,24,2,10,1,9,1,10,1,11,1,12,1,11,6,12,1,11,1,17,1,11,1,17,3,12,1,17,3,11,1,17,3,10,1,11,1,10,1,7,1,6,3,13,1,6,1,13,2,6,2,7,1,13,1,6,1,7,1,6,1,7,1,6,4,30,1,6,1,30,1,6,1,30,3,29,2,30,2,29,1,30,2,29,1,30,1,6,1,30,1,6,2,30,1,6,1,30,2,6,1,30,1,6,1,29,1,6,3,30,1,29,1,6,3,13,6,8,1,13,1,8,1,9,1,13,1,10,1,9,5,13,2,30,3,13,1,30,1,6,4,30,1,6,3,7,1,6,1,13,1,6,2,13,1,6,1,7,1,6,1,29,1,6,4,30,1,6,2,29,1,30,1,29,1,30,2,6,1,28,1,6,1,13,1,6,1,13,1,8,1,13,4,30,1,6,1,30,1,13,1,30,1,28,1,30,5,28,4,29,1,28,51,30,1,28,1,7,1,13,3,24,1,8,1,24,1,8,1,24,2,8,1,6,1,12,1,24,3,8,1,24,1,7,1,13,1,6,1,13,1,25,1,7,2,25,1,7,1,25,1,8,2,25,2,12,1,10,1,7,1,8,1,24,2,10,1,24,1,10,1,8,3,24,2,8,1,24,1,7,1,24,1,8,1,13,1,8,1,24,1,8,1,7,1,24,1,10,1,24,1,8,1,10,1,9,2,13,1,9,1,8,1,24,2,8,1,10,1,17,1,9,1,17,1,12,5,17,2,12,2,17,1,12,2,9,1,6,1,28,8,29,1,28,1,30,2,28,2,30,1,29,1,28,1,29,1,30,1,13,1,8,1,25,1,6,1,25,1,24,1,7,1,8,1,10,1,13,1,24,1,8,1,12,1,24,1,17,2,13,1,9,1,17,4,12,2,24,2,12,1,8,1,24,1,10,1,24,1,8,1,10,1,24,1,12,1,17,2,24,1,12,1,10,1,12,1,9,2,24,1,12,2,10,1,17,1,12,1,17,2,10,1,24,1,8,1,24,2,8,1,24,1,10,1,13,2,7,1,13,1,10,1,24,2,8,1,7,1,8,1,7,1,8,1,24,1,8,1,13,1,6,1,8,1,24,1,8,2,29,1,12,1,7,1,12,1,24,1,6,1,24,2,8,2,13,2,9,1,8,1,13,1,10,1,24,1,12,1,9,1,24,1,10,1,24,1,8,1,7,1,10,1,24,2,9,1,13,2,24,1,10,1,8,1,10,1,12,2,10,2,12,1,9,1,8,1,9,1,24,1,12,1,24,2,17,1,8,1,10,1,24,1,12,1,10,3,11,1,12,1,17,2,12,1,17,1,10,1,9,1,13,2,6,1,8,1,13,1,30,2,28,80,30,1,17,1,16,2,9,2,11,1,16,2,17,2,16,1,17,2,16,1,11,2,9,1,6,1,30,1,28,60,15,1,16,1,12,1,17,1,10,1,12,1,8,2,13,3,30,2,6,1,29,1,7,1,6,1,13,1,8,1,13,1,8,2,16,1,17,1,16,1,17,1,16,1,11,1,28,1,30,1,28,2,29,1,28,2,6,1,11,1,12,1,8,1,29,1,28,35,30,1,9,2,13,1,28,1,29,2,10,1,17,1,9,2,6,1,7,1,30,1,8,2,9,1,10,1,12,1,17,1,12,1,11,1,30,1,6,1,28,1,29,1,6,1,29,1,24,1,14,1,13,1,28,3,6,1,30,1,6,1,13,2,7,1,24,1,12,2,10,1,24,1,8,1,6,1,28,3,29,1,9,1,17,1,13,1,28,1,30,1,6,1,9,2,7,1,6,1,28,47,12,1,10,1,13,1,28,9,29,1,13,1,}, {28,2,30,4,28,1,30,1,28,4,30,1,28,3,30,1,28,2,30,1,28,24,30,1,13,1,8,1,9,1,8,1,30,1,28,7,30,1,29,1,30,1,28,6,29,1,30,1,13,1,29,1,30,1,28,12,6,1,28,1,6,1,28,32,6,1,28,1,6,1,29,1,28,41,13,3,8,1,13,4,6,1,13,1,7,1,6,1,8,2,24,1,30,1,13,1,6,1,30,1,6,1,8,1,13,1,24,2,13,1,6,1,8,2,12,1,11,1,17,2,16,1,9,1,6,3,30,1,6,1,11,1,13,1,28,1,29,1,30,1,28,27,30,1,6,1,28,1,6,1,13,1,10,1,12,1,9,2,17,1,15,1,13,1,6,1,30,1,6,2,29,1,9,1,17,2,9,3,24,2,13,1,7,1,6,1,7,1,6,1,29,1,6,4,13,1,8,2,13,1,24,1,11,1,14,1,9,1,16,1,17,3,14,2,6,1,28,13,9,1,17,8,16,4,9,2,16,1,11,1,16,1,11,1,16,1,11,1,16,4,9,1,13,2,28,3,30,1,6,1,30,1,13,1,10,1,9,1,16,1,17,1,16,1,17,1,16,1,17,1,16,2,9,1,11,1,16,2,28,8,13,2,28,3,6,1,13,2,9,1,13,1,9,1,13,6,30,1,13,1,6,1,28,27,9,1,11,2,9,1,11,2,16,1,11,2,9,1,11,2,9,2,11,1,9,2,10,1,11,1,10,1,9,4,11,1,9,1,8,1,10,1,11,1,8,1,9,1,13,1,8,1,13,6,6,1,7,2,30,1,28,1,13,1,30,2,29,1,28,69,30,1,28,1,30,1,11,1,17,2,16,1,11,1,17,1,11,1,16,2,11,1,10,1,17,3,11,1,10,1,17,1,10,1,12,2,9,1,17,1,9,2,11,1,9,1,24,1,9,1,8,1,9,1,8,1,13,2,9,1,8,1,13,2,6,1,8,1,7,3,13,1,7,1,13,3,7,1,6,1,13,4,6,1,7,1,6,1,30,1,6,1,29,1,30,1,6,1,28,4,30,1,28,75,30,1,13,1,6,1,30,1,7,1,6,1,30,1,28,1,13,2,7,1,13,1,6,1,30,1,28,1,30,1,28,7,30,1,6,1,13,5,6,1,13,2,6,1,13,4,30,1,28,9,13,1,9,5,10,1,30,1,28,5,13,3,10,1,11,1,9,1,11,2,16,1,11,1,9,2,13,1,16,1,9,2,6,2,30,1,28,7,6,2,13,2,9,2,11,1,16,1,9,2,13,1,9,2,16,8,11,1,16,1,11,1,9,1,11,2,16,1,9,5,13,1,16,1,17,2,16,2,9,1,11,1,9,2,13,1,9,1,11,1,16,2,9,2,13,1,9,1,13,7,6,1,13,1,8,1,13,1,9,1,13,2,6,1,13,4,6,1,13,2,9,2,13,1,6,1,13,3,8,2,9,1,13,2,9,1,13,1,9,1,11,2,9,1,11,1,9,1,16,1,11,2,16,1,11,1,16,6,10,1,9,2,11,2,9,2,13,1,9,1,8,1,13,4,8,1,13,3,7,1,13,1,6,1,13,12,7,1,6,1,13,3,6,1,13,3,6,2,13,4,9,1,13,2,9,1,8,1,13,1,8,1,13,5,9,2,13,2,6,1,13,9,8,1,13,2,8,1,13,4,9,4,11,1,9,2,16,1,11,1,8,2,13,1,10,1,9,4,8,1,9,5,13,1,9,3,11,2,10,2,11,1,9,2,13,9,6,1,30,1,13,4,6,1,13,2,6,1,13,3,9,1,8,2,9,2,13,2,9,2,13,2,9,2,11,1,9,1,16,2,17,1,16,1,11,1,16,4,11,1,16,2,11,1,16,1,11,3,16,7,11,3,16,3,11,1,16,1,11,4,9,1,11,2,16,1,9,3,11,2,9,1,11,2,16,1,11,1,9,1,11,1,16,1,9,1,16,2,11,2,16,1,9,1,16,1,5,1,11,1,5,4,11,5,16,4,17,1,16,1,11,1,16,3,9,1,5,1,16,2,11,2,13,3,6,1,30,1,6,2,30,2,6,1,13,1,6,1,30,2,6,2,13,28,6,1,13,6,6,2,9,1,13,4,9,2,11,1,9,2,16,1,17,1,11,1,9,1,8,1,10,1,13,1,30,2,29,1,13,2,11,1,17,1,9,1,7,1,8,1,6,1,13,7,6,2,13,6,9,1,13,1,9,2,13,1,9,1,13,1,9,1,13,1,9,1,13,1,9,5,16,1,9,1,16,1,9,1,11,2,16,1,9,1,11,1,9,2,11,1,9,3,13,1,9,1,8,2,9,4,13,3,11,1,16,1,17,1,11,1,16,2,11,1,16,1,17,1,9,1,17,3,16,1,13,2,6,2,13,5,6,1,13,1,6,1,13,2,30,1,6,1,13,1,30,1,6,1,28,1,30,1,6,4,30,3,6,1,30,1,6,2,30,2,7,1,30,2,29,1,7,1,30,1,29,1,30,4,6,1,30,3,13,1,30,1,6,1,30,1,6,13,7,1,28,1,6,1,7,1,6,5,13,1,6,1,7,1,13,1,6,3,30,1,13,3,8,1,13,4,28,1,13,2,6,1,13,3,6,2,13,1,6,2,13,4,6,1,13,4,7,1,13,1,6,1,13,3,6,2,13,1,6,2,13,1,6,2,13,2,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,1,6,1,13,2,6,1,30,1,13,1,7,1,13,2,7,1,13,1,6,2,13,1,6,2,7,1,13,4,6,3,13,1,6,2,13,4,9,1,13,9,6,1,13,5,7,1,13,4,30,1,13,2,30,1,13,1,7,1,6,2,13,5,9,1,16,1,9,1,13,1,9,1,13,4,7,1,6,1,13,3,6,3,13,3,6,1,8,1,13,3,9,1,8,1,13,2,8,1,9,1,13,1,6,1,13,7,9,1,8,1,13,6,6,1,9,1,13,2,6,1,13,2,6,1,30,2,28,2,13,1,6,1,28,5,30,3,28,27,30,1,28,7,13,1,8,1,13,1,9,1,13,1,6,4,29,1,30,1,7,3,6,1,13,2,24,1,8,1,9,2,12,1,17,4,12,1,11,1,17,1,11,1,17,2,12,2,11,4,17,3,12,1,17,2,11,2,12,5,9,1,8,1,29,1,13,6,7,1,6,1,13,1,6,4,30,1,6,1,30,1,29,1,6,6,29,1,6,3,30,2,6,1,30,1,29,1,30,3,29,1,30,2,6,1,30,1,6,1,30,9,6,2,7,1,30,1,13,3,7,1,13,1,8,1,13,1,8,1,9,1,8,2,9,5,8,1,6,2,13,1,6,1,30,1,7,1,30,1,7,1,29,1,6,4,7,1,6,1,13,1,6,1,7,1,30,1,13,2,6,2,7,1,6,5,30,2,6,1,13,3,30,1,13,1,6,2,13,2,8,1,30,1,8,1,13,2,6,2,30,2,6,1,30,4,28,7,13,1,28,49,29,1,30,1,6,1,13,1,7,1,24,1,8,2,13,1,7,1,8,2,24,1,13,1,10,1,9,1,8,1,12,1,8,1,10,1,8,3,24,1,6,1,7,1,24,1,6,1,25,1,8,1,7,1,6,1,24,2,8,1,25,1,8,1,24,1,8,1,24,1,8,2,24,1,8,1,24,2,12,1,7,1,13,1,7,1,24,1,13,1,8,3,13,3,24,1,8,1,13,1,8,1,12,1,24,1,10,1,24,1,12,1,10,1,8,1,10,1,24,1,10,2,17,1,10,1,12,3,17,1,12,1,17,1,12,1,17,8,7,1,28,10,29,1,30,1,28,1,30,1,29,1,30,1,6,1,29,1,25,1,8,2,6,1,7,1,25,1,7,1,13,1,24,2,10,1,9,1,12,1,24,1,12,1,17,3,24,1,17,2,9,1,17,1,9,1,24,1,10,1,24,1,12,1,9,1,10,1,8,2,12,1,8,1,9,1,24,1,6,1,10,1,24,1,12,3,24,2,12,4,17,3,10,1,12,1,24,1,13,2,24,1,13,1,6,1,10,1,8,1,24,1,8,1,10,1,8,2,24,2,13,1,24,2,7,1,13,1,24,2,8,1,24,2,13,1,24,1,10,1,8,1,13,1,24,2,8,3,24,1,13,1,7,1,24,1,8,1,10,1,24,2,17,1,24,1,10,1,8,1,9,1,10,2,24,1,10,1,24,1,9,1,12,1,10,1,24,1,8,1,13,1,12,1,10,1,8,1,9,1,24,4,12,1,24,1,12,1,24,1,10,1,7,1,12,1,17,2,12,2,17,2,12,2,17,4,16,1,13,2,8,2,13,1,6,1,28,1,6,1,30,1,28,79,8,1,16,1,17,1,9,1,13,1,8,2,16,3,17,3,16,1,17,1,16,1,10,1,9,1,11,1,13,3,30,1,29,2,28,45,30,1,28,8,29,1,15,1,11,1,17,1,12,1,10,1,9,1,13,1,6,1,13,1,29,1,28,1,6,1,28,1,29,1,28,3,13,1,6,1,7,1,9,1,10,1,16,1,17,1,11,1,17,2,9,1,6,1,28,5,30,2,9,3,6,1,30,1,6,1,28,34,24,1,12,1,13,1,29,2,30,1,11,1,16,1,9,1,24,1,13,1,6,2,7,1,13,1,9,1,13,1,17,2,12,1,11,1,7,1,29,1,6,2,30,1,28,1,8,1,11,1,8,1,28,2,30,1,7,1,13,2,8,1,6,1,24,1,9,1,11,1,17,1,12,1,7,1,13,1,29,2,28,2,13,1,12,1,9,1,8,1,28,3,9,1,10,1,13,1,28,48,16,1,8,1,13,1,28,7,30,1,28,1,7,1,6,1,}, {28,1,30,1,28,36,30,1,28,3,29,1,13,2,8,1,29,1,7,1,28,7,30,1,6,1,28,7,30,1,29,1,6,1,30,2,28,12,6,2,8,1,28,33,6,1,13,1,28,14,30,1,28,1,30,1,28,25,13,1,24,1,8,1,13,2,7,1,6,3,13,1,24,1,6,2,29,1,6,1,7,1,6,2,30,2,29,1,6,2,13,1,7,1,13,1,8,2,24,1,9,1,17,1,11,1,16,1,17,1,11,1,9,1,13,1,8,1,30,1,13,2,9,1,13,1,30,1,28,2,30,1,28,3,30,1,28,3,30,1,28,1,6,1,28,16,30,1,6,2,28,1,13,1,8,1,13,2,12,2,11,1,13,1,7,1,29,1,30,1,28,1,29,1,11,1,17,2,16,1,17,1,9,1,13,1,6,2,13,1,6,2,13,2,6,2,30,1,29,3,13,2,24,1,10,1,9,1,11,1,10,1,17,5,7,1,6,1,28,12,17,8,16,3,11,1,9,1,16,1,11,1,16,1,11,2,16,2,11,1,16,3,11,1,9,1,13,1,28,1,30,1,28,2,30,3,13,1,11,1,16,1,17,2,16,2,17,2,11,1,16,1,11,1,10,1,9,1,13,1,28,6,6,1,13,1,28,9,30,3,28,2,30,1,28,31,13,1,16,1,9,3,11,2,10,2,11,1,10,1,9,1,11,1,9,4,11,1,9,4,11,1,8,1,9,3,13,1,11,2,8,1,13,4,9,1,6,1,8,1,13,2,7,1,6,2,29,1,30,1,6,1,30,1,28,73,13,1,9,1,16,1,11,1,10,1,16,2,11,1,17,1,11,1,17,1,16,1,11,4,9,1,16,1,17,1,12,1,16,1,17,1,9,1,11,1,24,1,10,1,9,1,24,1,9,1,13,1,9,1,24,1,13,1,24,1,8,1,13,1,8,1,6,2,7,2,8,1,7,2,13,2,6,1,7,2,8,1,13,2,6,1,7,1,6,1,29,2,7,1,29,1,30,1,13,1,29,1,28,2,30,1,28,49,30,2,28,25,30,1,13,1,30,1,6,2,28,3,7,1,6,1,30,1,6,1,28,13,29,1,6,2,13,7,6,1,13,1,6,1,13,2,30,1,28,8,13,1,10,1,13,1,10,1,9,3,6,1,28,5,13,1,9,3,11,3,9,1,11,2,16,1,9,2,11,1,9,1,11,1,9,1,13,2,28,7,6,2,13,4,11,4,9,1,13,1,6,1,11,1,16,2,11,1,16,3,11,2,16,3,11,2,9,1,16,1,10,1,9,2,8,1,11,1,16,1,17,2,11,1,9,1,11,1,9,1,8,1,9,1,8,1,10,1,16,1,9,1,16,1,11,1,16,1,11,1,9,1,10,1,8,2,13,6,9,1,13,5,6,1,13,2,6,1,13,3,9,1,13,4,9,1,13,2,11,1,9,1,10,1,9,3,16,4,11,1,16,1,11,1,17,1,16,4,11,1,10,1,11,2,9,1,13,3,9,2,13,6,6,1,7,2,13,2,6,1,13,2,6,1,13,3,30,1,13,2,8,1,13,1,6,1,13,1,6,4,13,3,8,1,9,4,13,1,9,1,8,1,13,1,9,1,11,1,8,1,13,1,8,1,13,1,8,1,13,1,8,1,13,1,9,1,13,6,6,1,13,17,8,1,7,1,8,1,13,1,9,1,13,1,9,1,13,1,9,2,13,1,8,1,13,1,9,1,13,3,8,1,13,1,9,3,13,1,9,1,13,2,9,1,8,1,13,1,9,1,13,2,9,2,11,1,9,1,13,2,9,1,13,1,9,1,13,1,11,1,13,1,8,1,13,3,9,1,11,1,16,1,11,1,16,1,17,1,16,1,17,4,16,1,11,1,17,1,16,1,9,1,16,2,17,4,16,1,17,1,16,5,11,5,16,5,11,1,16,2,11,2,9,1,11,2,16,3,11,2,16,3,9,1,11,1,9,1,11,1,9,1,16,1,11,1,9,1,11,2,9,3,11,1,9,3,11,1,9,2,11,1,9,1,11,4,9,1,11,1,5,4,11,2,5,1,11,4,16,5,11,1,16,4,9,1,11,1,9,1,5,1,9,1,11,1,16,1,11,1,13,3,6,4,30,2,6,4,30,1,6,2,13,1,6,1,13,1,7,1,13,1,30,1,13,5,9,1,13,1,9,1,13,1,30,1,6,1,13,7,6,2,13,2,6,1,13,2,6,1,13,2,6,2,13,2,9,1,6,1,13,3,8,1,7,1,30,1,6,1,9,1,17,3,9,2,30,2,6,1,30,1,6,1,13,2,17,1,11,1,13,9,6,1,13,2,9,1,13,1,9,1,13,1,9,1,13,2,9,1,13,2,9,2,13,1,9,3,13,1,9,1,13,1,9,1,13,1,9,2,11,1,9,1,16,1,11,7,16,1,9,5,11,1,9,2,13,1,10,2,9,4,13,1,9,1,13,1,11,1,16,1,11,5,9,2,11,1,16,2,9,6,11,1,16,1,11,1,16,1,11,1,13,1,9,1,16,3,13,6,9,1,13,1,9,2,13,2,9,1,7,1,13,1,6,1,7,1,13,1,6,1,28,1,13,1,10,1,13,1,30,3,6,1,30,1,6,1,30,2,6,4,30,1,6,1,30,1,13,1,28,1,6,1,30,3,6,1,30,1,6,3,30,2,6,2,30,1,6,1,30,2,6,1,13,5,6,1,13,7,8,1,13,1,6,1,13,2,6,1,13,1,6,1,30,1,29,1,30,1,13,1,29,1,30,1,6,1,30,1,13,1,6,1,13,3,6,6,30,1,6,2,30,1,6,1,30,2,6,1,30,1,13,1,6,1,30,1,6,8,13,1,30,2,28,1,6,3,13,1,30,1,6,4,30,2,6,6,7,1,29,1,7,1,6,6,13,2,6,1,13,5,6,1,13,1,6,1,13,5,7,1,6,4,7,1,6,1,13,1,6,1,13,1,6,1,13,1,6,5,13,1,6,1,30,1,13,4,6,1,13,1,6,1,13,3,6,1,29,1,13,2,6,1,13,1,6,3,13,5,6,3,13,3,8,1,13,2,8,2,9,1,8,1,13,1,8,1,13,3,6,1,13,17,9,1,13,1,7,1,13,2,9,1,13,3,6,1,13,1,6,1,29,1,30,1,6,1,30,1,13,1,6,2,30,2,28,1,30,1,28,1,30,1,28,2,30,1,28,20,29,1,7,1,13,3,7,1,30,1,6,1,7,2,29,1,13,1,7,1,13,1,8,2,10,2,8,1,17,7,12,3,11,1,17,1,12,1,11,1,12,1,11,2,12,1,17,1,12,1,17,3,12,1,17,1,12,1,10,1,11,1,9,1,11,2,9,1,13,1,9,1,13,3,7,1,6,3,30,1,6,1,29,1,6,3,30,1,29,1,30,2,6,2,30,1,6,4,29,1,30,2,6,1,29,1,6,1,30,1,6,1,29,2,6,1,30,3,6,2,28,1,6,1,30,3,6,6,30,1,7,1,6,1,13,1,9,1,13,1,8,2,13,1,8,1,10,1,8,1,9,1,10,1,9,4,8,1,13,1,30,1,6,1,28,1,29,1,6,5,30,1,13,1,7,1,13,1,7,1,13,2,6,1,9,1,13,1,6,2,13,1,6,5,28,1,30,2,6,1,13,1,6,1,13,2,6,2,8,1,13,6,6,3,30,1,6,2,30,2,28,1,30,1,28,1,30,2,28,3,6,1,13,1,28,49,30,1,6,2,8,1,13,2,7,1,24,1,13,1,24,2,10,1,24,3,8,1,24,1,8,1,24,1,7,1,10,1,24,1,8,1,24,1,6,1,25,1,29,1,7,1,6,1,7,2,24,1,25,1,7,1,24,1,6,1,8,1,24,1,8,1,24,1,12,1,8,1,24,1,10,1,8,1,24,1,10,2,12,1,6,1,24,1,10,1,8,1,24,2,8,1,24,3,8,1,25,1,24,1,8,1,9,1,24,2,8,1,10,1,8,2,24,1,12,1,10,1,24,1,12,1,8,1,17,1,12,1,17,2,12,1,17,4,12,1,17,1,10,1,12,2,13,1,28,8,30,1,28,1,30,3,6,1,30,3,6,2,25,1,7,1,8,1,7,1,8,1,24,1,7,1,12,1,10,1,24,2,12,2,10,1,9,1,12,2,10,1,9,1,12,1,10,1,17,1,10,1,12,1,13,1,12,2,24,1,10,3,24,1,12,1,24,2,8,1,24,1,12,2,24,1,8,1,12,1,17,1,8,1,17,4,10,1,24,1,9,1,10,1,9,1,13,1,12,1,13,1,24,2,13,1,24,1,8,2,24,1,6,1,8,1,24,1,13,1,8,1,24,1,8,2,24,1,7,1,29,1,7,1,8,1,6,1,8,1,24,5,13,1,8,1,13,1,17,1,24,2,13,1,10,2,24,1,12,1,8,1,17,1,12,2,9,1,8,1,24,1,17,1,10,1,9,3,8,1,24,2,12,1,13,1,10,1,24,2,10,1,8,1,12,1,24,1,12,3,24,1,12,1,9,1,12,1,24,1,17,1,9,1,10,1,12,2,10,1,17,4,12,1,17,1,16,3,11,1,17,1,13,1,9,1,13,2,9,1,13,1,6,1,30,2,13,1,30,2,28,71,13,1,16,3,13,1,7,1,6,1,11,1,17,2,16,1,17,3,16,3,9,1,13,2,8,2,13,2,6,1,7,1,30,1,28,1,30,1,28,50,6,1,15,1,17,1,11,1,17,1,10,1,13,1,6,1,7,1,6,2,28,1,30,1,29,2,6,4,7,1,8,3,17,2,16,1,17,1,11,2,6,1,28,2,30,2,28,2,30,1,9,3,6,1,28,5,30,1,28,30,9,1,10,1,13,1,6,1,28,1,30,1,10,1,11,1,12,1,24,1,6,1,29,3,13,1,8,1,17,1,12,1,17,1,11,1,8,1,6,1,28,1,6,3,13,1,10,1,12,1,24,1,28,3,30,1,13,1,8,3,13,1,10,2,17,2,13,1,24,1,29,1,28,3,13,1,17,2,6,1,28,2,30,1,9,1,11,1,13,1,28,47,30,1,8,1,12,1,8,1,28,9,6,1,13,1,}, {28,41,30,1,6,1,13,1,9,1,6,2,28,6,6,1,30,1,28,10,6,1,28,14,29,1,28,33,6,1,30,2,28,32,30,1,28,9,6,1,13,1,7,1,30,1,6,1,13,1,6,1,7,1,30,1,29,1,6,1,13,1,28,1,6,2,28,3,30,1,28,1,29,1,30,2,7,1,6,3,13,2,8,3,9,1,12,1,10,1,16,1,9,1,8,1,6,1,7,1,6,2,13,1,17,1,13,1,28,2,29,1,30,1,28,1,30,1,28,1,30,1,28,21,6,1,28,1,29,1,6,1,30,1,7,1,8,1,13,1,9,1,24,1,9,1,15,1,6,1,7,1,13,1,6,1,29,1,6,1,9,1,17,2,11,1,9,1,8,1,13,1,6,2,8,1,6,2,13,2,30,1,7,1,6,3,29,1,13,2,24,1,9,1,11,1,10,1,17,5,11,1,7,1,6,1,28,12,9,1,17,9,16,2,11,1,16,2,11,1,16,2,9,1,16,6,13,1,6,1,28,4,30,2,28,1,13,1,9,1,16,1,17,2,11,1,16,1,17,1,16,3,9,2,13,1,28,5,7,1,13,1,28,48,9,1,11,3,9,1,10,1,9,1,10,1,9,2,10,1,11,1,10,1,9,1,10,1,11,1,9,1,11,1,9,3,10,1,9,9,8,1,13,1,9,1,8,1,13,1,6,1,8,2,7,1,13,1,29,1,7,2,30,2,28,1,30,1,28,70,30,1,13,1,11,2,17,3,11,1,17,2,11,1,16,1,17,1,11,1,16,1,17,1,16,2,12,2,9,1,11,1,16,1,11,1,9,2,12,1,8,1,10,1,9,1,8,1,13,1,8,1,24,2,6,2,8,1,13,1,7,2,6,1,13,1,7,1,8,1,13,1,29,1,8,2,13,1,7,1,29,1,13,1,7,1,6,1,13,1,30,1,29,2,30,1,6,1,28,1,29,1,30,1,28,1,29,1,30,1,28,42,30,1,28,5,30,1,28,15,30,1,28,10,30,1,28,1,30,1,13,1,6,2,30,1,28,2,30,1,6,2,30,1,28,14,7,1,6,3,13,1,6,1,13,8,6,1,30,1,28,7,7,1,13,1,11,1,13,1,9,2,13,2,28,4,6,1,13,1,9,5,11,1,9,1,11,1,9,2,11,1,9,2,16,1,9,1,11,1,13,3,28,7,30,1,13,3,9,4,16,1,11,1,9,2,11,2,16,2,11,1,16,2,17,1,16,2,11,1,16,4,9,1,10,1,9,1,11,1,9,1,11,1,17,3,16,3,11,1,10,1,13,1,9,4,11,1,17,1,9,1,16,1,9,2,8,1,13,1,8,1,6,1,13,1,8,1,13,3,9,3,13,7,11,1,13,2,9,5,16,2,11,2,16,1,11,1,9,1,16,2,11,1,16,1,9,1,16,1,11,4,9,1,16,1,11,1,8,1,9,2,8,1,13,2,9,2,13,1,30,1,28,2,30,1,28,1,6,2,13,1,6,3,13,8,6,1,13,1,8,1,13,3,8,1,13,4,9,1,13,4,6,1,13,1,8,2,13,1,9,2,13,1,8,1,13,3,8,1,7,2,13,3,7,1,13,5,7,1,13,16,7,1,13,2,9,1,8,1,13,3,9,2,6,1,13,4,6,1,13,2,9,1,6,1,13,1,9,4,13,1,9,2,13,1,9,1,11,1,9,3,11,1,9,2,11,1,16,1,9,1,16,1,11,1,16,5,9,1,16,7,11,2,16,7,11,1,16,7,11,2,9,1,11,3,16,1,11,6,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,16,2,11,2,16,1,11,4,16,2,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,2,16,1,13,1,11,1,9,1,13,1,11,1,9,2,11,2,9,1,16,1,11,2,9,1,5,1,11,1,9,1,5,4,9,4,16,1,9,2,16,1,11,1,16,1,11,2,16,1,11,1,9,1,11,4,5,3,16,1,11,1,13,2,6,2,7,1,6,1,30,2,13,1,6,2,30,5,13,1,6,1,13,3,6,4,13,7,9,1,6,2,13,2,6,1,13,1,30,1,13,2,6,1,13,3,6,2,13,3,6,1,30,1,13,1,30,2,6,1,13,1,8,1,6,1,28,1,29,1,13,1,8,1,17,3,10,1,13,1,30,1,6,1,29,1,6,1,7,1,6,1,13,1,11,1,17,1,13,10,6,1,13,1,9,2,6,1,13,2,9,1,13,3,9,1,6,1,13,1,9,1,13,3,9,1,6,1,13,4,9,1,13,1,9,6,11,1,16,1,11,2,9,2,11,1,9,1,13,2,9,3,13,1,9,1,13,1,8,1,13,1,9,4,11,2,13,1,9,1,11,1,9,1,16,1,9,2,13,4,9,1,13,1,9,3,16,1,11,1,9,3,8,1,13,4,11,2,9,1,16,2,11,2,16,1,17,9,16,1,11,1,9,1,11,1,16,2,13,2,9,1,13,4,9,1,8,1,13,1,9,2,13,2,6,1,13,3,30,1,6,1,13,2,6,1,13,1,30,1,13,1,6,2,30,2,6,1,13,15,6,1,13,1,8,1,13,2,6,1,13,3,6,1,13,1,30,1,28,2,30,2,28,1,6,1,30,1,6,1,30,1,6,2,30,1,6,1,30,5,6,1,30,1,28,1,6,1,7,1,30,3,6,2,13,1,6,1,30,1,6,1,30,1,6,1,30,4,13,1,6,3,30,2,6,1,30,1,13,1,6,1,30,2,28,1,30,2,28,1,6,2,30,3,28,1,6,2,30,1,29,1,6,1,13,1,6,1,13,4,6,1,13,6,6,9,13,1,6,1,30,1,13,1,6,8,13,1,7,1,6,2,13,1,7,1,13,1,6,3,30,1,6,1,30,1,13,1,6,1,13,1,30,1,6,1,30,1,6,2,13,1,6,1,13,1,6,5,7,1,13,9,6,2,13,2,6,2,13,1,7,1,6,1,13,1,30,1,13,1,7,1,6,1,13,1,6,3,13,1,6,3,13,2,7,1,29,1,13,1,6,1,13,1,30,1,6,3,7,1,6,1,13,1,7,1,13,5,7,1,13,1,7,1,6,1,13,1,6,1,13,1,6,5,13,1,6,2,13,1,6,1,30,1,13,1,30,2,6,1,30,1,6,1,28,1,30,1,28,8,8,1,6,1,13,1,6,1,13,1,6,1,7,2,6,1,8,1,6,1,13,2,6,1,24,2,11,1,10,1,9,1,17,7,12,2,17,1,12,1,17,1,11,1,9,1,11,2,12,1,11,1,17,4,11,2,9,1,12,1,10,1,11,1,9,1,17,1,11,2,8,1,6,1,13,3,6,5,29,1,6,1,30,1,6,2,30,1,6,2,30,3,6,2,29,2,30,1,6,1,30,1,29,1,30,1,6,1,29,3,30,3,6,1,30,2,6,1,29,1,30,3,29,1,30,1,6,2,30,3,6,1,13,2,8,1,13,4,8,1,9,5,11,2,9,1,6,2,29,1,6,1,30,1,6,1,29,1,13,1,6,2,7,1,13,5,6,1,13,1,6,1,8,1,13,3,6,2,13,3,6,1,13,1,6,1,13,2,6,1,13,10,6,1,13,1,7,1,6,1,30,1,6,2,28,2,7,1,29,1,30,1,28,1,30,1,6,1,28,2,30,1,13,1,28,48,30,1,28,1,7,2,13,1,8,1,7,1,6,1,24,1,13,2,8,1,24,1,8,1,24,1,7,1,6,1,8,1,7,1,24,2,8,1,7,2,24,1,8,2,6,1,8,1,6,1,30,1,6,1,29,1,13,1,6,1,8,1,24,1,8,1,24,2,8,1,12,1,24,1,8,1,24,5,10,1,8,1,24,1,7,1,6,1,24,1,7,1,24,1,8,1,24,1,25,1,24,1,7,1,8,1,24,1,8,2,24,2,8,1,13,1,12,1,24,1,8,1,24,2,9,1,12,2,17,1,12,2,10,1,9,1,12,3,17,1,12,1,17,3,12,1,13,1,28,5,30,1,28,2,30,2,28,1,6,2,29,3,30,1,25,1,8,1,24,1,25,2,8,1,24,2,13,1,12,2,24,1,10,2,12,2,24,1,10,1,12,1,17,1,12,1,8,1,17,1,9,1,17,1,12,1,8,1,24,1,8,1,24,2,12,1,10,1,12,1,10,1,24,2,9,1,24,1,10,1,9,1,24,1,9,1,24,2,17,1,12,1,17,3,12,1,8,1,24,1,10,1,8,2,12,1,24,1,10,1,8,1,7,1,13,1,8,1,24,1,13,1,7,2,24,1,7,1,8,2,24,2,8,1,24,2,6,1,9,1,12,1,24,1,8,1,24,1,10,1,24,1,7,1,8,1,24,1,10,1,7,1,10,1,24,1,12,1,10,1,24,1,17,1,10,1,24,2,10,1,8,1,17,1,9,1,24,1,17,1,8,1,12,1,24,1,8,1,9,1,8,1,24,1,10,1,8,2,24,2,8,1,12,2,8,1,9,1,17,1,24,2,12,1,10,2,12,1,17,2,12,2,17,21,16,3,11,1,9,1,13,3,6,1,28,65,13,1,16,3,9,1,13,2,9,1,17,3,16,1,17,3,16,4,9,1,13,5,7,1,13,1,6,3,28,1,30,1,28,1,30,2,28,37,30,1,28,6,29,1,14,1,12,1,9,1,10,1,12,1,24,1,8,2,6,1,8,1,13,1,29,1,30,1,28,1,30,1,29,1,30,1,8,1,6,1,13,2,11,1,16,1,17,3,11,1,13,1,28,6,30,1,13,1,9,2,11,1,29,2,28,35,6,1,8,1,13,1,7,1,30,1,6,1,16,1,8,1,9,2,24,1,13,2,24,1,9,1,12,1,9,1,12,1,17,1,9,1,8,1,6,1,29,2,6,1,30,2,8,1,10,1,6,1,30,1,28,2,13,1,7,1,13,2,8,1,24,1,9,1,15,1,12,1,17,1,24,1,8,1,30,2,28,2,6,1,11,1,17,1,6,1,28,2,30,1,9,1,13,2,28,40,29,1,28,6,6,1,17,1,9,1,24,1,28,9,29,1,7,1,}, {28,39,6,1,13,1,7,1,6,1,29,1,28,7,30,2,28,8,6,1,30,1,28,14,30,1,6,1,28,33,29,1,30,1,28,11,30,1,28,20,30,1,28,9,30,1,6,1,13,2,6,3,13,1,8,1,30,1,6,1,30,1,13,1,28,1,6,2,28,3,30,2,28,1,6,1,30,1,6,1,30,1,6,1,29,1,6,3,29,1,30,1,7,1,8,1,10,1,9,1,13,1,10,1,16,1,9,1,29,1,30,1,7,1,28,1,6,1,16,1,6,1,13,1,28,13,30,1,28,15,30,1,28,1,7,1,6,1,28,2,13,2,9,1,8,1,12,1,8,1,30,1,6,1,13,3,12,1,17,2,8,1,9,1,8,1,29,1,6,3,30,1,13,1,30,1,7,1,29,1,6,1,7,1,30,1,8,1,6,1,8,2,9,1,11,1,9,1,12,1,16,1,17,5,13,1,30,2,28,11,9,1,17,2,16,1,17,4,16,1,17,1,16,1,11,1,16,1,11,1,16,2,9,1,11,1,17,1,16,1,11,1,16,2,11,2,13,2,30,2,28,2,6,1,28,1,6,1,13,1,16,2,17,1,16,2,17,1,16,1,9,1,11,1,9,1,13,2,28,6,6,1,13,1,28,47,9,1,11,1,9,1,11,1,10,1,9,3,10,1,11,1,10,1,11,2,9,4,10,1,11,2,10,2,11,1,9,1,11,1,9,4,8,3,13,2,6,1,29,1,13,1,8,2,13,1,7,1,6,3,30,1,28,1,30,1,28,71,30,1,24,1,17,1,11,2,16,1,11,1,17,1,11,2,17,1,11,1,16,2,11,1,17,1,11,1,12,1,16,1,11,1,16,1,11,1,16,1,11,1,8,1,24,1,9,1,8,1,9,1,8,1,7,1,13,2,6,1,13,2,24,1,8,1,7,2,13,1,7,1,6,4,13,1,6,1,9,1,29,1,6,1,29,1,7,1,6,1,13,1,30,1,6,2,29,2,6,1,29,1,6,1,13,1,30,1,28,45,6,1,28,2,30,1,28,2,30,1,28,26,30,1,6,3,28,3,6,1,13,1,28,1,30,1,28,17,6,1,29,1,6,1,13,11,6,1,28,7,13,1,9,1,13,1,9,3,10,1,6,1,28,5,13,1,9,1,13,1,9,3,11,1,9,1,11,3,16,1,9,1,11,2,9,4,13,1,6,1,28,7,7,1,6,1,13,3,11,1,16,1,11,1,16,1,11,1,8,1,13,1,9,1,11,1,17,1,16,1,17,1,16,1,17,3,16,1,17,1,16,3,9,1,16,1,11,1,16,3,17,3,16,2,9,1,11,1,9,1,8,2,9,1,16,2,11,1,16,1,9,1,16,1,11,1,9,2,13,5,6,1,13,2,8,1,13,1,9,3,8,1,9,1,13,3,16,1,8,1,13,1,11,2,9,1,11,1,9,2,16,6,11,1,16,1,11,1,16,3,9,1,11,1,9,1,11,1,9,2,13,1,6,1,28,1,6,1,8,1,9,1,10,1,28,6,30,2,13,2,7,1,6,1,13,8,9,1,13,7,9,1,8,2,13,2,8,3,13,8,8,1,13,5,6,1,13,6,8,1,13,1,7,1,13,1,6,3,7,1,6,2,13,8,6,1,13,1,8,1,9,1,13,3,11,1,13,1,11,1,9,1,11,3,9,1,13,2,16,1,13,2,9,2,11,3,17,1,16,1,11,1,16,1,11,1,17,3,16,2,17,1,16,5,11,1,9,1,11,1,16,1,11,1,16,1,11,1,16,2,11,2,16,1,11,1,16,1,11,1,16,2,11,1,16,6,17,1,11,1,16,1,11,1,16,2,11,1,16,2,11,3,16,1,11,3,16,2,11,2,16,1,11,1,16,1,11,1,9,1,11,1,9,1,11,1,9,1,11,1,9,1,11,6,16,1,11,1,16,1,11,2,16,1,11,1,9,4,13,1,11,1,9,1,13,1,9,5,13,1,9,3,11,3,9,2,11,2,9,2,5,1,9,2,5,3,9,2,11,1,9,2,16,1,11,1,16,3,11,2,9,1,11,3,9,2,11,1,9,1,5,1,11,2,16,1,9,1,6,3,30,2,6,2,28,1,30,1,6,1,30,3,6,1,30,1,7,3,13,1,7,1,13,1,7,1,13,1,6,2,13,6,6,3,13,2,30,1,13,2,6,1,13,3,6,2,13,2,7,1,6,1,30,1,6,1,13,1,6,2,9,1,13,2,6,1,28,1,30,1,13,1,7,1,13,1,17,3,11,1,6,6,8,1,13,1,8,1,17,1,13,1,6,1,13,4,9,1,13,7,9,1,13,6,9,1,6,1,13,4,9,1,13,4,9,1,13,2,16,2,9,8,11,1,9,1,11,1,9,1,13,5,9,2,13,3,9,1,8,2,9,7,13,1,9,1,13,1,9,3,13,2,9,4,13,1,9,1,13,2,9,3,13,2,9,2,13,1,9,2,13,1,9,5,16,1,11,2,16,1,9,1,11,1,9,1,11,3,9,4,13,1,9,1,10,1,9,2,11,1,9,5,10,1,11,1,16,1,11,1,8,1,13,2,9,2,13,2,9,1,13,5,9,1,13,1,9,1,13,2,8,2,9,1,13,1,9,1,13,1,9,1,8,1,13,5,6,2,13,3,7,1,13,1,6,4,13,2,30,1,28,1,30,1,28,1,6,1,30,1,13,1,28,2,6,1,30,1,6,2,30,3,6,2,13,1,8,1,9,1,8,1,6,1,11,1,9,1,7,1,13,1,6,1,13,2,8,1,13,2,7,1,6,1,13,2,30,2,6,3,13,1,30,1,28,3,30,1,6,1,30,1,6,1,28,1,30,1,28,1,30,3,28,1,30,1,13,1,6,1,28,1,30,1,6,1,13,1,7,1,6,3,13,1,6,1,13,1,6,3,30,2,6,1,30,1,6,2,30,3,29,1,6,1,30,1,6,2,30,1,6,2,30,2,6,1,30,1,6,2,7,1,29,1,6,1,30,1,6,1,30,2,28,1,30,7,28,1,6,2,30,1,6,3,30,1,6,1,30,1,6,4,7,1,13,1,6,1,13,2,6,1,13,1,6,1,13,4,9,1,7,1,13,1,7,1,13,2,6,1,13,1,30,1,6,3,13,1,30,1,6,1,13,1,7,1,6,5,13,1,6,1,7,1,6,2,7,1,13,1,6,1,7,2,13,3,6,3,13,7,6,5,7,1,6,5,13,5,6,1,13,1,6,1,13,2,28,9,29,2,8,3,24,1,13,2,30,1,13,2,6,1,7,1,13,1,7,1,11,1,10,1,9,1,10,1,12,1,17,7,12,3,17,1,11,1,12,1,10,1,12,1,10,1,12,2,17,1,12,1,17,1,12,1,11,1,12,1,9,1,11,1,9,1,11,1,10,2,9,1,8,1,13,1,8,1,6,2,7,1,6,1,30,6,6,1,30,1,29,1,6,5,30,1,6,1,30,1,6,1,30,3,29,2,30,1,29,1,30,7,6,2,30,1,6,1,30,1,29,1,30,1,6,1,30,2,6,1,28,1,6,1,13,6,9,1,13,1,8,1,24,1,9,4,11,2,9,1,13,1,29,1,6,8,29,1,13,1,6,1,13,2,30,1,13,2,8,1,13,4,6,1,13,7,6,2,13,3,8,2,13,7,6,1,30,1,13,1,6,2,30,2,6,1,28,1,30,1,6,1,30,2,28,1,30,3,28,48,30,1,28,1,6,2,7,1,24,4,8,1,10,1,25,1,24,1,6,1,30,1,6,2,13,1,7,1,6,1,8,1,7,1,17,1,24,1,8,3,13,1,25,1,13,2,7,2,13,1,8,1,10,1,8,2,25,1,8,1,7,1,10,1,24,1,8,1,12,1,10,1,13,1,24,1,12,1,8,1,10,1,8,2,24,1,13,1,8,2,24,2,6,1,25,1,7,1,8,1,24,1,8,2,9,1,24,1,10,1,24,1,8,1,9,1,24,3,10,2,12,1,10,1,12,1,11,1,12,1,17,1,12,2,17,1,10,1,17,5,12,1,13,1,29,1,28,4,30,1,28,3,30,1,28,2,29,1,6,1,29,1,6,1,25,1,6,1,8,2,12,1,8,1,24,1,8,1,12,2,24,1,12,1,10,1,17,1,12,1,8,1,12,1,17,2,8,1,12,1,17,1,24,2,12,1,17,1,12,4,17,1,24,1,13,1,12,1,13,1,8,1,10,1,8,1,24,2,12,1,10,1,12,1,10,1,9,1,10,1,11,1,17,3,24,4,12,1,13,1,8,1,6,1,24,2,10,1,7,1,24,2,29,1,24,1,8,1,24,1,8,1,24,1,7,1,13,1,24,2,7,1,24,1,12,1,13,1,8,1,13,1,24,1,9,1,24,2,10,1,12,1,10,1,9,1,10,1,24,2,10,2,8,1,24,3,12,1,24,1,17,1,9,1,10,1,9,1,13,1,10,1,9,1,24,1,8,1,13,1,24,1,12,1,10,2,17,1,24,1,12,2,10,1,8,1,10,1,8,1,12,1,10,1,17,1,12,1,17,1,12,2,8,1,17,13,9,1,16,10,10,1,11,1,16,4,11,1,16,2,9,3,13,4,7,1,28,1,30,1,28,1,30,1,28,1,29,1,28,7,30,1,28,3,6,1,28,1,30,1,28,1,30,1,28,35,6,1,16,4,8,1,13,1,6,1,11,1,17,8,16,3,9,1,7,1,28,1,6,1,7,1,6,2,7,1,28,1,6,1,28,49,8,1,14,1,16,1,17,2,12,1,8,2,13,1,8,1,13,1,7,1,6,2,29,1,6,1,7,1,29,1,7,2,8,1,16,1,8,1,10,1,16,1,17,1,16,1,10,1,8,1,28,4,30,1,28,2,6,1,10,1,16,1,12,1,6,1,30,1,28,34,30,2,28,1,6,1,30,2,6,1,9,3,8,1,13,2,8,1,13,1,6,1,9,1,24,1,9,1,10,1,9,1,13,1,28,1,29,2,6,1,29,1,7,1,9,2,29,1,28,3,7,1,13,2,8,1,24,1,8,1,15,1,17,2,24,1,7,1,8,1,6,1,28,3,13,1,9,1,12,1,13,1,28,2,13,1,9,1,10,1,6,1,28,48,17,2,6,1,28,9,6,1,8,1,}, {28,38,29,1,6,2,28,8,30,1,13,1,28,8,30,4,28,13,6,1,28,32,29,1,28,2,30,1,28,42,13,1,6,1,13,1,7,1,6,1,13,1,6,4,30,1,6,4,30,1,28,6,30,1,28,1,7,1,29,1,28,1,7,1,30,1,6,2,29,1,6,1,28,1,30,2,7,1,8,1,9,3,8,1,6,1,7,1,13,1,30,1,13,1,8,2,28,18,30,1,28,4,29,1,28,12,30,1,7,1,24,2,10,1,8,1,13,1,7,1,13,1,6,1,13,1,10,1,17,2,9,1,10,1,9,1,8,1,13,1,6,1,13,1,28,1,7,1,30,1,29,1,6,4,8,1,24,1,8,1,13,1,10,1,12,1,24,1,11,1,17,6,13,1,30,1,28,12,16,1,17,7,16,1,17,1,11,1,9,1,16,3,11,1,16,2,17,1,11,1,16,3,9,1,13,2,30,1,28,2,30,1,28,1,30,1,28,2,13,1,9,1,17,1,16,3,17,1,11,2,10,1,13,1,6,1,28,6,30,1,6,1,28,47,9,2,11,1,9,1,11,1,9,2,11,3,9,3,11,1,9,2,11,1,10,2,9,3,8,1,9,4,8,1,13,3,9,1,13,2,8,1,13,2,7,2,6,1,13,1,7,1,8,1,29,1,6,2,30,1,29,1,28,3,30,1,28,67,13,1,12,3,11,1,17,1,11,1,17,1,16,1,17,1,16,1,17,1,16,1,12,1,17,2,9,1,17,3,11,1,12,2,11,1,10,1,8,3,9,1,13,1,8,1,13,2,8,1,13,2,8,1,6,2,7,1,6,4,30,1,6,1,13,1,30,2,13,3,30,1,13,1,6,1,7,1,6,3,30,1,29,1,6,1,28,48,30,1,28,2,30,1,28,1,30,1,28,15,30,1,28,10,6,4,28,7,30,1,28,18,6,1,13,1,6,1,13,1,7,1,6,1,13,7,30,1,28,7,30,1,9,3,11,1,10,1,8,1,28,5,30,1,13,2,9,4,11,2,9,1,11,1,16,2,9,1,11,2,9,2,11,1,9,2,13,1,30,1,28,7,7,1,13,2,9,1,13,1,11,1,10,1,16,2,9,1,11,1,9,1,13,1,9,1,11,2,16,1,11,2,16,4,17,1,16,7,17,2,16,1,17,1,11,1,16,1,11,1,10,1,9,1,11,1,9,1,16,2,11,1,16,2,11,1,16,1,13,1,8,1,16,1,9,2,10,1,8,1,13,1,9,3,13,2,8,2,10,1,9,3,13,1,9,1,11,1,9,1,11,4,16,2,9,2,11,2,9,1,11,1,8,1,11,2,10,1,11,1,9,2,11,1,13,1,9,1,13,1,30,1,13,1,9,1,11,1,9,1,13,3,6,1,13,3,6,1,13,5,7,1,13,14,9,1,8,1,13,15,7,1,13,6,7,1,13,1,6,2,13,1,30,2,6,1,13,1,6,1,29,1,13,1,6,1,13,1,7,1,13,6,9,6,16,1,9,3,11,1,16,2,9,1,11,2,16,1,11,2,16,1,17,1,11,3,16,2,17,1,16,1,17,3,16,5,11,1,16,3,11,2,16,1,11,4,16,1,11,4,16,2,11,1,9,1,11,1,16,1,11,2,17,1,16,3,11,2,16,1,11,1,16,1,17,1,16,2,11,1,16,3,11,2,16,1,11,2,16,1,11,6,9,1,11,3,16,1,11,1,9,1,11,1,9,1,11,1,9,3,11,1,16,1,11,1,9,2,11,2,16,1,11,3,9,1,11,1,9,5,13,1,9,1,11,1,9,5,13,1,9,4,11,1,16,1,9,1,11,1,9,3,13,1,11,1,9,2,5,1,9,2,11,1,9,5,13,1,16,1,17,1,9,2,11,1,13,1,9,5,11,1,9,1,5,1,11,1,5,1,16,1,11,1,13,1,6,2,30,3,6,1,30,3,6,2,30,4,7,1,6,3,30,2,6,2,30,1,9,1,13,3,30,1,6,1,13,2,30,1,6,1,7,1,13,1,6,1,13,1,6,1,30,1,6,1,13,4,7,1,30,1,6,1,13,3,7,1,13,2,8,1,6,1,30,3,6,1,13,1,11,1,17,4,13,1,6,1,7,1,13,4,8,1,9,1,17,1,13,2,8,1,9,1,13,1,9,2,13,9,9,2,13,5,9,1,13,4,9,1,13,2,9,1,13,4,9,1,13,1,9,4,13,1,9,1,11,1,9,1,13,1,9,3,13,3,9,2,13,7,9,5,13,1,9,5,11,1,13,1,11,1,9,2,13,2,9,1,13,1,9,1,8,1,9,4,8,1,13,1,9,2,11,1,9,3,13,2,9,1,13,1,9,1,13,1,9,4,13,1,8,1,13,2,9,1,13,1,9,1,8,1,13,1,9,2,13,2,9,1,13,1,9,2,13,1,9,3,8,1,13,3,8,1,13,3,9,1,13,9,9,1,8,1,9,1,13,1,8,1,9,1,8,1,9,4,8,1,13,4,6,1,13,7,29,1,13,2,8,1,13,2,6,1,13,2,6,1,9,7,13,1,9,3,16,1,11,1,16,4,9,1,11,2,9,1,11,1,9,2,11,1,16,1,17,1,9,1,16,1,9,3,8,2,9,2,13,1,9,2,10,1,9,1,13,1,6,1,13,1,6,1,13,5,6,1,13,1,6,1,29,1,13,4,6,1,7,1,13,1,7,1,13,1,30,1,13,1,6,1,13,1,6,1,13,2,7,1,13,1,6,1,30,1,6,2,28,1,30,1,6,1,13,1,6,3,29,1,30,1,6,1,30,2,6,1,28,1,30,1,6,1,28,1,30,1,6,1,28,3,30,1,28,2,30,1,28,2,6,1,28,1,30,3,28,1,30,1,6,1,30,6,6,3,30,1,6,4,13,1,6,2,13,3,6,2,13,1,6,6,28,1,7,1,6,1,30,1,6,1,30,1,6,2,13,1,6,1,13,1,6,5,13,1,6,3,30,1,13,2,6,1,30,1,6,1,30,1,6,2,13,1,6,3,13,6,6,4,13,1,6,1,13,1,6,2,13,1,6,1,13,1,6,1,13,2,6,2,13,1,6,1,13,1,30,1,7,1,6,1,28,7,30,1,28,1,29,1,7,5,29,1,13,1,6,1,13,1,8,1,7,1,8,1,9,2,11,1,17,2,12,1,17,6,12,1,10,3,11,2,17,1,11,1,12,1,11,1,17,3,11,1,17,1,12,1,11,2,9,3,17,1,9,3,13,1,6,2,13,1,28,7,30,1,28,4,30,13,29,1,30,3,6,1,30,4,6,1,30,1,6,1,30,1,6,2,30,2,6,1,29,1,30,1,6,1,7,1,29,1,8,2,7,1,8,2,13,1,8,2,9,4,11,2,17,1,11,1,13,1,30,3,13,1,6,5,13,1,7,1,13,6,8,2,13,3,6,1,13,1,7,1,13,1,6,2,13,14,7,2,13,1,6,2,30,2,6,2,29,1,30,1,29,1,30,1,6,1,30,2,6,2,29,1,28,48,30,1,6,1,8,1,24,1,7,2,24,1,8,3,24,3,7,1,30,2,8,1,6,1,13,1,7,1,13,1,8,1,7,1,8,2,24,1,8,1,6,1,7,1,13,1,28,1,7,1,29,1,24,1,7,1,24,1,13,1,24,1,13,1,24,2,10,1,24,1,8,1,24,1,12,1,24,2,13,1,8,2,24,2,8,2,25,1,7,1,8,1,24,1,7,1,8,1,6,1,7,1,24,1,13,2,8,2,24,1,9,1,8,1,13,1,24,1,8,1,10,1,24,1,12,1,9,1,12,1,9,1,17,1,10,1,17,2,9,1,10,1,11,2,17,5,12,1,6,1,28,3,29,1,28,1,30,2,28,1,30,1,29,1,30,1,29,2,6,3,8,1,6,1,8,1,25,1,24,2,10,3,24,1,17,4,10,1,24,1,10,1,12,1,17,1,8,1,10,1,12,1,8,1,9,1,12,4,24,2,10,1,8,1,24,1,12,2,7,1,12,1,8,1,24,1,8,1,10,1,8,1,12,4,17,3,24,2,8,1,24,2,12,1,10,1,13,1,8,2,7,1,24,2,7,1,8,1,7,1,10,1,7,1,8,1,24,3,8,1,24,2,13,1,24,2,8,2,24,1,8,2,13,1,24,1,10,1,9,1,24,1,17,1,8,1,10,1,12,1,24,1,9,1,24,1,17,1,10,1,6,1,12,1,9,1,8,1,12,3,24,2,12,3,10,1,13,1,12,1,10,2,12,1,9,1,8,1,12,2,9,1,12,1,24,1,12,2,9,1,10,1,12,1,17,7,10,1,12,1,17,4,16,1,11,1,17,1,16,4,11,2,9,1,16,1,9,1,11,2,16,13,9,2,8,1,10,1,13,1,11,1,9,2,13,1,9,1,7,1,13,1,6,1,13,1,30,1,29,1,28,3,30,1,28,1,30,2,28,37,8,1,16,2,17,1,11,1,13,1,6,1,13,1,9,1,17,2,16,1,17,2,11,1,16,4,17,1,9,1,13,1,6,1,28,2,30,1,28,9,30,1,28,42,6,1,11,1,16,1,17,1,8,1,9,1,13,2,9,1,13,1,7,2,29,1,28,1,6,1,30,1,28,1,6,1,7,1,24,1,9,1,8,1,11,1,9,1,11,1,17,2,12,1,9,1,28,6,29,1,13,1,16,2,8,1,13,1,30,2,28,33,30,2,29,1,28,1,30,1,7,1,13,1,9,1,10,1,13,1,9,1,13,1,24,1,8,1,9,1,12,1,17,1,12,1,11,1,12,1,24,1,8,1,28,1,29,1,6,3,13,1,9,1,15,1,30,1,28,2,29,1,6,1,13,2,8,1,13,1,8,1,9,1,12,1,8,1,12,1,8,2,6,1,30,1,28,2,7,1,11,1,9,1,13,1,30,1,28,1,6,1,13,1,9,1,29,1,28,47,6,1,17,1,11,1,8,1,28,9,29,1,13,1,}, } }